i05nagai/mafipy

// m[k][j]: k-th initial number, j-dim
// m[1][1] = 1
// m[1][2] = 1, m_[2,2]
// up to 21201 dim

static int joe_kuo_d6_initial_number00001[] = {1, 0};
static int joe_kuo_d6_initial_number00002[] = {1, 3, 0};
static int joe_kuo_d6_initial_number00003[] = {1, 3, 1, 0};
static int joe_kuo_d6_initial_number00004[] = {1, 1, 1, 0};
static int joe_kuo_d6_initial_number00005[] = {1, 1, 3, 3, 0};
static int joe_kuo_d6_initial_number00006[] = {1, 3, 5, 13, 0};
static int joe_kuo_d6_initial_number00007[] = {1, 1, 5, 5, 17, 0};
static int joe_kuo_d6_initial_number00008[] = {1, 1, 5, 5, 5, 0};
static int joe_kuo_d6_initial_number00009[] = {1, 1, 7, 11, 19, 0};
static int joe_kuo_d6_initial_number00010[] = {1, 1, 5, 1, 1, 0};
static int joe_kuo_d6_initial_number00011[] = {1, 1, 1, 3, 11, 0};
static int joe_kuo_d6_initial_number00012[] = {1, 3, 5, 5, 31, 0};
static int joe_kuo_d6_initial_number00013[] = {1, 3, 3, 9, 7, 49, 0};
static int joe_kuo_d6_initial_number00014[] = {1, 1, 1, 15, 21, 21, 0};
static int joe_kuo_d6_initial_number00015[] = {1, 3, 1, 13, 27, 49, 0};
static int joe_kuo_d6_initial_number00016[] = {1, 1, 1, 15, 7, 5, 0};
static int joe_kuo_d6_initial_number00017[] = {1, 3, 1, 15, 13, 25, 0};
static int joe_kuo_d6_initial_number00018[] = {1, 1, 5, 5, 19, 61, 0};
static int joe_kuo_d6_initial_number00019[] = {1, 3, 7, 11, 23, 15, 103, 0};
static int joe_kuo_d6_initial_number00020[] = {1, 3, 7, 13, 13, 15, 69, 0};
static int joe_kuo_d6_initial_number00021[] = {1, 1, 3, 13, 7, 35, 63, 0};
static int joe_kuo_d6_initial_number00022[] = {1, 3, 5, 9, 1, 25, 53, 0};
static int joe_kuo_d6_initial_number00023[] = {1, 3, 1, 13, 9, 35, 107, 0};
static int joe_kuo_d6_initial_number00024[] = {1, 3, 1, 5, 27, 61, 31, 0};
static int joe_kuo_d6_initial_number00025[] = {1, 1, 5, 11, 19, 41, 61, 0};
static int joe_kuo_d6_initial_number00026[] = {1, 3, 5, 3, 3, 13, 69, 0};
static int joe_kuo_d6_initial_number00027[] = {1, 1, 7, 13, 1, 19, 1, 0};
static int joe_kuo_d6_initial_number00028[] = {1, 3, 7, 5, 13, 19, 59, 0};
static int joe_kuo_d6_initial_number00029[] = {1, 1, 3, 9, 25, 29, 41, 0};
static int joe_kuo_d6_initial_number00030[] = {1, 3, 5, 13, 23, 1, 55, 0};
static int joe_kuo_d6_initial_number00031[] = {1, 3, 7, 3, 13, 59, 17, 0};
static int joe_kuo_d6_initial_number00032[] = {1, 3, 1, 3, 5, 53, 69, 0};
static int joe_kuo_d6_initial_number00033[] = {1, 1, 5, 5, 23, 33, 13, 0};
static int joe_kuo_d6_initial_number00034[] = {1, 1, 7, 7, 1, 61, 123, 0};
static int joe_kuo_d6_initial_number00035[] = {1, 1, 7, 9, 13, 61, 49, 0};
static int joe_kuo_d6_initial_number00036[] = {1, 3, 3, 5, 3, 55, 33, 0};
static int joe_kuo_d6_initial_number00037[] = {1, 3, 1, 15, 31, 13, 49, 245, 0};
static int joe_kuo_d6_initial_number00038[] = {1, 3, 5, 15, 31, 59, 63, 97, 0};
static int joe_kuo_d6_initial_number00039[] = {1, 3, 1, 11, 11, 11, 77, 249, 0};
static int joe_kuo_d6_initial_number00040[] = {1, 3, 1, 11, 27, 43, 71, 9, 0};
static int joe_kuo_d6_initial_number00041[] = {1, 1, 7, 15, 21, 11, 81, 45, 0};
static int joe_kuo_d6_initial_number00042[] = {1, 3, 7, 3, 25, 31, 65, 79, 0};
static int joe_kuo_d6_initial_number00043[] = {1, 3, 1, 1, 19, 11, 3, 205, 0};
static int joe_kuo_d6_initial_number00044[] = {1, 1, 5, 9, 19, 21, 29, 157, 0};
static int joe_kuo_d6_initial_number00045[] = {1, 3, 7, 11, 1, 33, 89, 185, 0};
static int joe_kuo_d6_initial_number00046[] = {1, 3, 3, 3, 15, 9, 79, 71, 0};
static int joe_kuo_d6_initial_number00047[] = {1, 3, 7, 11, 15, 39, 119, 27, 0};
static int joe_kuo_d6_initial_number00048[] = {1, 1, 3, 1, 11, 31, 97, 225, 0};
static int joe_kuo_d6_initial_number00049[] = {1, 1, 1, 3, 23, 43, 57, 177, 0};
static int joe_kuo_d6_initial_number00050[] = {1, 3, 7, 7, 17, 17, 37, 71, 0};
static int joe_kuo_d6_initial_number00051[] = {1, 3, 1, 5, 27, 63, 123, 213, 0};
static int joe_kuo_d6_initial_number00052[] = {1, 1, 3, 5, 11, 43, 53, 133, 0};
static int joe_kuo_d6_initial_number00053[] = {1, 3, 5, 5, 29, 17, 47, 173, 479, 0};
static int joe_kuo_d6_initial_number00054[] = {1, 3, 3, 11, 3, 1, 109, 9, 69, 0};
static int joe_kuo_d6_initial_number00055[] = {1, 1, 1, 5, 17, 39, 23, 5, 343, 0};
static int joe_kuo_d6_initial_number00056[] = {1, 3, 1, 5, 25, 15, 31, 103, 499, 0};
static int joe_kuo_d6_initial_number00057[] = {1, 1, 1, 11, 11, 17, 63, 105, 183, 0};
static int joe_kuo_d6_initial_number00058[] = {1, 1, 5, 11, 9, 29, 97, 231, 363, 0};
static int joe_kuo_d6_initial_number00059[] = {1, 1, 5, 15, 19, 45, 41, 7, 383, 0};
static int joe_kuo_d6_initial_number00060[] = {1, 3, 7, 7, 31, 19, 83, 137, 221, 0};
static int joe_kuo_d6_initial_number00061[] = {1, 1, 1, 3, 23, 15, 111, 223, 83, 0};
static int joe_kuo_d6_initial_number00062[] = {1, 1, 5, 13, 31, 15, 55, 25, 161, 0};
static int joe_kuo_d6_initial_number00063[] = {1, 1, 3, 13, 25, 47, 39, 87, 257, 0};
static int joe_kuo_d6_initial_number00064[] = {1, 1, 1, 11, 21, 53, 125, 249, 293, 0};
static int joe_kuo_d6_initial_number00065[] = {1, 1, 7, 11, 11, 7, 57, 79, 323, 0};
static int joe_kuo_d6_initial_number00066[] = {1, 1, 5, 5, 17, 13, 81, 3, 131, 0};
static int joe_kuo_d6_initial_number00067[] = {1, 1, 7, 13, 23, 7, 65, 251, 475, 0};
static int joe_kuo_d6_initial_number00068[] = {1, 3, 5, 1, 9, 43, 3, 149, 11, 0};
static int joe_kuo_d6_initial_number00069[] = {1, 1, 3, 13, 31, 13, 13, 255, 487, 0};
static int joe_kuo_d6_initial_number00070[] = {1, 3, 3, 1, 5, 63, 89, 91, 127, 0};
static int joe_kuo_d6_initial_number00071[] = {1, 1, 3, 3, 1, 19, 123, 127, 237, 0};
static int joe_kuo_d6_initial_number00072[] = {1, 1, 5, 7, 23, 31, 37, 243, 289, 0};
static int joe_kuo_d6_initial_number00073[] = {1, 1, 5, 11, 17, 53, 117, 183, 491, 0};
static int joe_kuo_d6_initial_number00074[] = {1, 1, 1, 5, 1, 13, 13, 209, 345, 0};
static int joe_kuo_d6_initial_number00075[] = {1, 1, 3, 15, 1, 57, 115, 7, 33, 0};
static int joe_kuo_d6_initial_number00076[] = {1, 3, 1, 11, 7, 43, 81, 207, 175, 0};
static int joe_kuo_d6_initial_number00077[] = {1, 3, 1, 1, 15, 27, 63, 255, 49, 0};
static int joe_kuo_d6_initial_number00078[] = {1, 3, 5, 3, 27, 61, 105, 171, 305, 0};
static int joe_kuo_d6_initial_number00079[] = {1, 1, 5, 3, 1, 3, 57, 249, 149, 0};
static int joe_kuo_d6_initial_number00080[] = {1, 1, 3, 5, 5, 57, 15, 13, 159, 0};
static int joe_kuo_d6_initial_number00081[] = {1, 1, 1, 11, 7, 11, 105, 141, 225, 0};
static int joe_kuo_d6_initial_number00082[] = {1, 3, 3, 5, 27, 59, 121, 101, 271, 0};
static int joe_kuo_d6_initial_number00083[] = {1, 3, 5, 9, 11, 49, 51, 59, 115, 0};
static int joe_kuo_d6_initial_number00084[] = {1, 1, 7, 1, 23, 45, 125, 71, 419, 0};
static int joe_kuo_d6_initial_number00085[] = {1, 1, 3, 5, 23, 5, 105, 109, 75, 0};
static int joe_kuo_d6_initial_number00086[] = {1, 1, 7, 15, 7, 11, 67, 121, 453, 0};
static int joe_kuo_d6_initial_number00087[] = {1, 3, 7, 3, 9, 13, 31, 27, 449, 0};
static int joe_kuo_d6_initial_number00088[] = {1, 3, 1, 15, 19, 39, 39, 89, 15, 0};
static int joe_kuo_d6_initial_number00089[] = {1, 1, 1, 1, 1, 33, 73, 145, 379, 0};
static int joe_kuo_d6_initial_number00090[] = {1, 3, 1, 15, 15, 43, 29, 13, 483, 0};
static int joe_kuo_d6_initial_number00091[] = {1, 1, 7, 3, 19, 27, 85, 131, 431, 0};
static int joe_kuo_d6_initial_number00092[] = {1, 3, 3, 3, 5, 35, 23, 195, 349, 0};
static int joe_kuo_d6_initial_number00093[] = {1, 3, 3, 7, 9, 27, 39, 59, 297, 0};
static int joe_kuo_d6_initial_number00094[] = {1, 1, 3, 9, 11, 17, 13, 241, 157, 0};
static int joe_kuo_d6_initial_number00095[] = {1, 3, 7, 15, 25, 57, 33, 189, 213, 0};
static int joe_kuo_d6_initial_number00096[] = {1, 1, 7, 1, 9, 55, 73, 83, 217, 0};
static int joe_kuo_d6_initial_number00097[] = {1, 3, 3, 13, 19, 27, 23, 113, 249, 0};
static int joe_kuo_d6_initial_number00098[] = {1, 3, 5, 3, 23, 43, 3, 253, 479, 0};
static int joe_kuo_d6_initial_number00099[] = {1, 1, 5, 5, 11, 5, 45, 117, 217, 0};
static int joe_kuo_d6_initial_number00100[] = {1, 3, 3, 7, 29, 37, 33, 123, 147, 0};
static int joe_kuo_d6_initial_number00101[] = {1, 3, 1, 15, 5, 5, 37, 227, 223, 459, 0};
static int joe_kuo_d6_initial_number00102[] = {1, 1, 7, 5, 5, 39, 63, 255, 135, 487, 0};
static int joe_kuo_d6_initial_number00103[] = {1, 3, 1, 7, 9, 7, 87, 249, 217, 599, 0};
static int joe_kuo_d6_initial_number00104[] = {1, 1, 3, 13, 9, 47, 7, 225, 363, 247, 0};
static int joe_kuo_d6_initial_number00105[] = {1, 3, 7, 13, 19, 13, 9, 67, 9, 737, 0};
static int joe_kuo_d6_initial_number00106[] = {1, 3, 5, 5, 19, 59, 7, 41, 319, 677, 0};
static int joe_kuo_d6_initial_number00107[] = {1, 1, 5, 3, 31, 63, 15, 43, 207, 789, 0};
static int joe_kuo_d6_initial_number00108[] = {1, 1, 7, 9, 13, 39, 3, 47, 497, 169, 0};
static int joe_kuo_d6_initial_number00109[] = {1, 3, 1, 7, 21, 17, 97, 19, 415, 905, 0};
static int joe_kuo_d6_initial_number00110[] = {1, 3, 7, 1, 3, 31, 71, 111, 165, 127, 0};
static int joe_kuo_d6_initial_number00111[] = {1, 1, 5, 11, 1, 61, 83, 119, 203, 847, 0};
static int joe_kuo_d6_initial_number00112[] = {1, 3, 3, 13, 9, 61, 19, 97, 47, 35, 0};
static int joe_kuo_d6_initial_number00113[] = {1, 1, 7, 7, 15, 29, 63, 95, 417, 469, 0};
static int joe_kuo_d6_initial_number00114[] = {1, 3, 1, 9, 25, 9, 71, 57, 213, 385, 0};
static int joe_kuo_d6_initial_number00115[] = {1, 3, 5, 13, 31, 47, 101, 57, 39, 341, 0};
static int joe_kuo_d6_initial_number00116[] = {1, 1, 3, 3, 31, 57, 125, 173, 365, 551, 0};
static int joe_kuo_d6_initial_number00117[] = {1, 3, 7, 1, 13, 57, 67, 157, 451, 707, 0};
static int joe_kuo_d6_initial_number00118[] = {1, 1, 1, 7, 21, 13, 105, 89, 429, 965, 0};
static int joe_kuo_d6_initial_number00119[] = {1, 1, 5, 9, 17, 51, 45, 119, 157, 141, 0};
static int joe_kuo_d6_initial_number00120[] = {1, 3, 7, 7, 13, 45, 91, 9, 129, 741, 0};
static int joe_kuo_d6_initial_number00121[] = {1, 3, 7, 1, 23, 57, 67, 141, 151, 571, 0};
static int joe_kuo_d6_initial_number00122[] = {1, 1, 3, 11, 17, 47, 93, 107, 375, 157, 0};
static int joe_kuo_d6_initial_number00123[] = {1, 3, 3, 5, 11, 21, 43, 51, 169, 915, 0};
static int joe_kuo_d6_initial_number00124[] = {1, 1, 5, 3, 15, 55, 101, 67, 455, 625, 0};
static int joe_kuo_d6_initial_number00125[] = {1, 3, 5, 9, 1, 23, 29, 47, 345, 595, 0};
static int joe_kuo_d6_initial_number00126[] = {1, 3, 7, 7, 5, 49, 29, 155, 323, 589, 0};
static int joe_kuo_d6_initial_number00127[] = {1, 3, 3, 7, 5, 41, 127, 61, 261, 717, 0};
static int joe_kuo_d6_initial_number00128[] = {1, 3, 7, 7, 17, 23, 117, 67, 129, 1009, 0};
static int joe_kuo_d6_initial_number00129[] = {1, 1, 3, 13, 11, 39, 21, 207, 123, 305, 0};
static int joe_kuo_d6_initial_number00130[] = {1, 1, 3, 9, 29, 3, 95, 47, 231, 73, 0};
static int joe_kuo_d6_initial_number00131[] = {1, 3, 1, 9, 1, 29, 117, 21, 441, 259, 0};
static int joe_kuo_d6_initial_number00132[] = {1, 3, 1, 13, 21, 39, 125, 211, 439, 723, 0};
static int joe_kuo_d6_initial_number00133[] = {1, 1, 7, 3, 17, 63, 115, 89, 49, 773, 0};
static int joe_kuo_d6_initial_number00134[] = {1, 3, 7, 13, 11, 33, 101, 107, 63, 73, 0};
static int joe_kuo_d6_initial_number00135[] = {1, 1, 5, 5, 13, 57, 63, 135, 437, 177, 0};
static int joe_kuo_d6_initial_number00136[] = {1, 1, 3, 7, 27, 63, 93, 47, 417, 483, 0};
static int joe_kuo_d6_initial_number00137[] = {1, 1, 3, 1, 23, 29, 1, 191, 49, 23, 0};
static int joe_kuo_d6_initial_number00138[] = {1, 1, 3, 15, 25, 55, 9, 101, 219, 607, 0};
static int joe_kuo_d6_initial_number00139[] = {1, 3, 1, 7, 7, 19, 51, 251, 393, 307, 0};
static int joe_kuo_d6_initial_number00140[] = {1, 3, 3, 3, 25, 55, 17, 75, 337, 3, 0};
static int joe_kuo_d6_initial_number00141[] = {1, 1, 1, 13, 25, 17, 65, 45, 479, 413, 0};
static int joe_kuo_d6_initial_number00142[] = {1, 1, 7, 7, 27, 49, 99, 161, 213, 727, 0};
static int joe_kuo_d6_initial_number00143[] = {1, 3, 5, 1, 23, 5, 43, 41, 251, 857, 0};
static int joe_kuo_d6_initial_number00144[] = {1, 3, 3, 7, 11, 61, 39, 87, 383, 835, 0};
static int joe_kuo_d6_initial_number00145[] = {1, 1, 3, 15, 13, 7, 29, 7, 505, 923, 0};
static int joe_kuo_d6_initial_number00146[] = {1, 3, 7, 1, 5, 31, 47, 157, 445, 501, 0};
static int joe_kuo_d6_initial_number00147[] = {1, 1, 3, 7, 1, 43, 9, 147, 115, 605, 0};
static int joe_kuo_d6_initial_number00148[] = {1, 3, 3, 13, 5, 1, 119, 211, 455, 1001, 0};
static int joe_kuo_d6_initial_number00149[] = {1, 1, 3, 5, 13, 19, 3, 243, 75, 843, 0};
static int joe_kuo_d6_initial_number00150[] = {1, 3, 7, 7, 1, 19, 91, 249, 357, 589, 0};
static int joe_kuo_d6_initial_number00151[] = {1, 1, 1, 9, 1, 25, 109, 197, 279, 411, 0};
static int joe_kuo_d6_initial_number00152[] = {1, 3, 1, 15, 23, 57, 59, 135, 191, 75, 0};
static int joe_kuo_d6_initial_number00153[] = {1, 1, 5, 15, 29, 21, 39, 253, 383, 349, 0};
static int joe_kuo_d6_initial_number00154[] = {1, 3, 3, 5, 19, 45, 61, 151, 199, 981, 0};
static int joe_kuo_d6_initial_number00155[] = {1, 3, 5, 13, 9, 61, 107, 141, 141, 1, 0};
static int joe_kuo_d6_initial_number00156[] = {1, 3, 1, 11, 27, 25, 85, 105, 309, 979, 0};
static int joe_kuo_d6_initial_number00157[] = {1, 3, 3, 11, 19, 7, 115, 223, 349, 43, 0};
static int joe_kuo_d6_initial_number00158[] = {1, 1, 7, 9, 21, 39, 123, 21, 275, 927, 0};
static int joe_kuo_d6_initial_number00159[] = {1, 1, 7, 13, 15, 41, 47, 243, 303, 437, 0};
static int joe_kuo_d6_initial_number00160[] = {1, 1, 1, 7, 7, 3, 15, 99, 409, 719, 0};
static int joe_kuo_d6_initial_number00161[] = {1, 3, 3, 15, 27, 49, 113, 123, 113, 67, 469, 0};
static int joe_kuo_d6_initial_number00162[] = {1, 3, 7, 11, 3, 23, 87, 169, 119, 483, 199, 0};
static int joe_kuo_d6_initial_number00163[] = {1, 1, 5, 15, 7, 17, 109, 229, 179, 213, 741, 0};
static int joe_kuo_d6_initial_number00164[] = {1, 1, 5, 13, 11, 17, 25, 135, 403, 557, 1433, 0};
static int joe_kuo_d6_initial_number00165[] = {1, 3, 1, 1, 1, 61, 67, 215, 189, 945, 1243, 0};
static int joe_kuo_d6_initial_number00166[] = {1, 1, 7, 13, 17, 33, 9, 221, 429, 217, 1679, 0};
static int joe_kuo_d6_initial_number00167[] = {1, 1, 3, 11, 27, 3, 15, 93, 93, 865, 1049, 0};
static int joe_kuo_d6_initial_number00168[] = {1, 3, 7, 7, 25, 41, 121, 35, 373, 379, 1547, 0};
static int joe_kuo_d6_initial_number00169[] = {1, 3, 3, 9, 11, 35, 45, 205, 241, 9, 59, 0};
static int joe_kuo_d6_initial_number00170[] = {1, 3, 1, 7, 3, 51, 7, 177, 53, 975, 89, 0};
static int joe_kuo_d6_initial_number00171[] = {1, 1, 3, 5, 27, 1, 113, 231, 299, 759, 861, 0};
static int joe_kuo_d6_initial_number00172[] = {1, 3, 3, 15, 25, 29, 5, 255, 139, 891, 2031, 0};
static int joe_kuo_d6_initial_number00173[] = {1, 3, 1, 1, 13, 9, 109, 193, 419, 95, 17, 0};
static int joe_kuo_d6_initial_number00174[] = {1, 1, 7, 9, 3, 7, 29, 41, 135, 839, 867, 0};
static int joe_kuo_d6_initial_number00175[] = {1, 1, 7, 9, 25, 49, 123, 217, 113, 909, 215, 0};
static int joe_kuo_d6_initial_number00176[] = {1, 1, 7, 3, 23, 15, 43, 133, 217, 327, 901, 0};
static int joe_kuo_d6_initial_number00177[] = {1, 1, 3, 3, 13, 53, 63, 123, 477, 711, 1387, 0};
static int joe_kuo_d6_initial_number00178[] = {1, 1, 3, 15, 7, 29, 75, 119, 181, 957, 247, 0};
static int joe_kuo_d6_initial_number00179[] = {1, 1, 1, 11, 27, 25, 109, 151, 267, 99, 1461, 0};
static int joe_kuo_d6_initial_number00180[] = {1, 3, 7, 15, 5, 5, 53, 145, 11, 725, 1501, 0};
static int joe_kuo_d6_initial_number00181[] = {1, 3, 7, 1, 9, 43, 71, 229, 157, 607, 1835, 0};
static int joe_kuo_d6_initial_number00182[] = {1, 3, 3, 13, 25, 1, 5, 27, 471, 349, 127, 0};
static int joe_kuo_d6_initial_number00183[] = {1, 1, 1, 1, 23, 37, 9, 221, 269, 897, 1685, 0};
static int joe_kuo_d6_initial_number00184[] = {1, 1, 3, 3, 31, 29, 51, 19, 311, 553, 1969, 0};
static int joe_kuo_d6_initial_number00185[] = {1, 3, 7, 5, 5, 55, 17, 39, 475, 671, 1529, 0};
static int joe_kuo_d6_initial_number00186[] = {1, 1, 7, 1, 1, 35, 47, 27, 437, 395, 1635, 0};
static int joe_kuo_d6_initial_number00187[] = {1, 1, 7, 3, 13, 23, 43, 135, 327, 139, 389, 0};
static int joe_kuo_d6_initial_number00188[] = {1, 3, 7, 3, 9, 25, 91, 25, 429, 219, 513, 0};
static int joe_kuo_d6_initial_number00189[] = {1, 1, 3, 5, 13, 29, 119, 201, 277, 157, 2043, 0};
static int joe_kuo_d6_initial_number00190[] = {1, 3, 5, 3, 29, 57, 13, 17, 167, 739, 1031, 0};
static int joe_kuo_d6_initial_number00191[] = {1, 3, 3, 5, 29, 21, 95, 27, 255, 679, 1531, 0};
static int joe_kuo_d6_initial_number00192[] = {1, 3, 7, 15, 9, 5, 21, 71, 61, 961, 1201, 0};
static int joe_kuo_d6_initial_number00193[] = {1, 3, 5, 13, 15, 57, 33, 93, 459, 867, 223, 0};
static int joe_kuo_d6_initial_number00194[] = {1, 1, 1, 15, 17, 43, 127, 191, 67, 177, 1073, 0};
static int joe_kuo_d6_initial_number00195[] = {1, 1, 1, 15, 23, 7, 21, 199, 75, 293, 1611, 0};
static int joe_kuo_d6_initial_number00196[] = {1, 3, 7, 13, 15, 39, 21, 149, 65, 741, 319, 0};
static int joe_kuo_d6_initial_number00197[] = {1, 3, 7, 11, 23, 13, 101, 89, 277, 519, 711, 0};
static int joe_kuo_d6_initial_number00198[] = {1, 3, 7, 15, 19, 27, 85, 203, 441, 97, 1895, 0};
static int joe_kuo_d6_initial_number00199[] = {1, 3, 1, 3, 29, 25, 21, 155, 11, 191, 197, 0};
static int joe_kuo_d6_initial_number00200[] = {1, 1, 7, 5, 27, 11, 81, 101, 457, 675, 1687, 0};
static int joe_kuo_d6_initial_number00201[] = {1, 3, 1, 5, 25, 5, 65, 193, 41, 567, 781, 0};
static int joe_kuo_d6_initial_number00202[] = {1, 3, 1, 5, 11, 15, 113, 77, 411, 695, 1111, 0};
static int joe_kuo_d6_initial_number00203[] = {1, 1, 3, 9, 11, 53, 119, 171, 55, 297, 509, 0};
static int joe_kuo_d6_initial_number00204[] = {1, 1, 1, 1, 11, 39, 113, 139, 165, 347, 595, 0};
static int joe_kuo_d6_initial_number00205[] = {1, 3, 7, 11, 9, 17, 101, 13, 81, 325, 1733, 0};
static int joe_kuo_d6_initial_number00206[] = {1, 3, 1, 1, 21, 43, 115, 9, 113, 907, 645, 0};
static int joe_kuo_d6_initial_number00207[] = {1, 1, 7, 3, 9, 25, 117, 197, 159, 471, 475, 0};
static int joe_kuo_d6_initial_number00208[] = {1, 3, 1, 9, 11, 21, 57, 207, 485, 613, 1661, 0};
static int joe_kuo_d6_initial_number00209[] = {1, 1, 7, 7, 27, 55, 49, 223, 89, 85, 1523, 0};
static int joe_kuo_d6_initial_number00210[] = {1, 1, 5, 3, 19, 41, 45, 51, 447, 299, 1355, 0};
static int joe_kuo_d6_initial_number00211[] = {1, 3, 1, 13, 1, 33, 117, 143, 313, 187, 1073, 0};
static int joe_kuo_d6_initial_number00212[] = {1, 1, 7, 7, 5, 11, 65, 97, 377, 377, 1501, 0};
static int joe_kuo_d6_initial_number00213[] = {1, 3, 1, 1, 21, 35, 95, 65, 99, 23, 1239, 0};
static int joe_kuo_d6_initial_number00214[] = {1, 1, 5, 9, 3, 37, 95, 167, 115, 425, 867, 0};
static int joe_kuo_d6_initial_number00215[] = {1, 3, 3, 13, 1, 37, 27, 189, 81, 679, 773, 0};
static int joe_kuo_d6_initial_number00216[] = {1, 1, 3, 11, 1, 61, 99, 233, 429, 969, 49, 0};
static int joe_kuo_d6_initial_number00217[] = {1, 1, 1, 7, 25, 63, 99, 165, 245, 793, 1143, 0};
static int joe_kuo_d6_initial_number00218[] = {1, 1, 5, 11, 11, 43, 55, 65, 71, 283, 273, 0};
static int joe_kuo_d6_initial_number00219[] = {1, 1, 5, 5, 9, 3, 101, 251, 355, 379, 1611, 0};
static int joe_kuo_d6_initial_number00220[] = {1, 1, 1, 15, 21, 63, 85, 99, 49, 749, 1335, 0};
static int joe_kuo_d6_initial_number00221[] = {1, 1, 5, 13, 27, 9, 121, 43, 255, 715, 289, 0};
static int joe_kuo_d6_initial_number00222[] = {1, 3, 1, 5, 27, 19, 17, 223, 77, 571, 1415, 0};
static int joe_kuo_d6_initial_number00223[] = {1, 1, 5, 3, 13, 59, 125, 251, 195, 551, 1737, 0};
static int joe_kuo_d6_initial_number00224[] = {1, 3, 3, 15, 13, 27, 49, 105, 389, 971, 755, 0};
static int joe_kuo_d6_initial_number00225[] = {1, 3, 5, 15, 23, 43, 35, 107, 447, 763, 253, 0};
static int joe_kuo_d6_initial_number00226[] = {1, 3, 5, 11, 21, 3, 17, 39, 497, 407, 611, 0};
static int joe_kuo_d6_initial_number00227[] = {1, 1, 7, 13, 15, 31, 113, 17, 23, 507, 1995, 0};
static int joe_kuo_d6_initial_number00228[] = {1, 1, 7, 15, 3, 15, 31, 153, 423, 79, 503, 0};
static int joe_kuo_d6_initial_number00229[] = {1, 1, 7, 9, 19, 25, 23, 171, 505, 923, 1989, 0};
static int joe_kuo_d6_initial_number00230[] = {1, 1, 5, 9, 21, 27, 121, 223, 133, 87, 697, 0};
static int joe_kuo_d6_initial_number00231[] = {1, 1, 5, 5, 9, 19, 107, 99, 319, 765, 1461, 0};
static int joe_kuo_d6_initial_number00232[] = {1, 1, 3, 3, 19, 25, 3, 101, 171, 729, 187, 0};
static int joe_kuo_d6_initial_number00233[] = {1, 1, 3, 1, 13, 23, 85, 93, 291, 209, 37, 0};
static int joe_kuo_d6_initial_number00234[] = {1, 1, 1, 15, 25, 25, 77, 253, 333, 947, 1073, 0};
static int joe_kuo_d6_initial_number00235[] = {1, 1, 3, 9, 17, 29, 55, 47, 255, 305, 2037, 0};
static int joe_kuo_d6_initial_number00236[] = {1, 3, 3, 9, 29, 63, 9, 103, 489, 939, 1523, 0};
static int joe_kuo_d6_initial_number00237[] = {1, 3, 7, 15, 7, 31, 89, 175, 369, 339, 595, 0};
static int joe_kuo_d6_initial_number00238[] = {1, 3, 7, 13, 25, 5, 71, 207, 251, 367, 665, 0};
static int joe_kuo_d6_initial_number00239[] = {1, 3, 3, 3, 21, 25, 75, 35, 31, 321, 1603, 0};
static int joe_kuo_d6_initial_number00240[] = {1, 1, 1, 9, 11, 1, 65, 5, 11, 329, 535, 0};
static int joe_kuo_d6_initial_number00241[] = {1, 1, 5, 3, 19, 13, 17, 43, 379, 485, 383, 0};
static int joe_kuo_d6_initial_number00242[] = {1, 3, 5, 13, 13, 9, 85, 147, 489, 787, 1133, 0};
static int joe_kuo_d6_initial_number00243[] = {1, 3, 1, 1, 5, 51, 37, 129, 195, 297, 1783, 0};
static int joe_kuo_d6_initial_number00244[] = {1, 1, 3, 15, 19, 57, 59, 181, 455, 697, 2033, 0};
static int joe_kuo_d6_initial_number00245[] = {1, 3, 7, 1, 27, 9, 65, 145, 325, 189, 201, 0};
static int joe_kuo_d6_initial_number00246[] = {1, 3, 1, 15, 31, 23, 19, 5, 485, 581, 539, 0};
static int joe_kuo_d6_initial_number00247[] = {1, 1, 7, 13, 11, 15, 65, 83, 185, 847, 831, 0};
static int joe_kuo_d6_initial_number00248[] = {1, 3, 5, 7, 7, 55, 73, 15, 303, 511, 1905, 0};
static int joe_kuo_d6_initial_number00249[] = {1, 3, 5, 9, 7, 21, 45, 15, 397, 385, 597, 0};
static int joe_kuo_d6_initial_number00250[] = {1, 3, 7, 3, 23, 13, 73, 221, 511, 883, 1265, 0};
static int joe_kuo_d6_initial_number00251[] = {1, 1, 3, 11, 1, 51, 73, 185, 33, 975, 1441, 0};
static int joe_kuo_d6_initial_number00252[] = {1, 3, 3, 9, 19, 59, 21, 39, 339, 37, 143, 0};
static int joe_kuo_d6_initial_number00253[] = {1, 1, 7, 1, 31, 33, 19, 167, 117, 635, 639, 0};
static int joe_kuo_d6_initial_number00254[] = {1, 1, 1, 3, 5, 13, 59, 83, 355, 349, 1967, 0};
static int joe_kuo_d6_initial_number00255[] = {1, 1, 1, 5, 19, 3, 53, 133, 97, 863, 983, 0};
static int joe_kuo_d6_initial_number00256[] = {1, 3, 1, 13, 9, 41, 91, 105, 173, 97, 625, 0};
static int joe_kuo_d6_initial_number00257[] = {1, 1, 5, 3, 7, 49, 115, 133, 71, 231, 1063, 0};
static int joe_kuo_d6_initial_number00258[] = {1, 1, 7, 5, 17, 43, 47, 45, 497, 547, 757, 0};
static int joe_kuo_d6_initial_number00259[] = {1, 3, 5, 15, 21, 61, 123, 191, 249, 31, 631, 0};
static int joe_kuo_d6_initial_number00260[] = {1, 3, 7, 9, 17, 7, 11, 185, 127, 169, 1951, 0};
static int joe_kuo_d6_initial_number00261[] = {1, 1, 5, 13, 11, 11, 9, 49, 29, 125, 791, 0};
static int joe_kuo_d6_initial_number00262[] = {1, 1, 1, 15, 31, 41, 13, 167, 273, 429, 57, 0};
static int joe_kuo_d6_initial_number00263[] = {1, 3, 5, 3, 27, 7, 35, 209, 65, 265, 1393, 0};
static int joe_kuo_d6_initial_number00264[] = {1, 3, 1, 13, 31, 19, 53, 143, 135, 9, 1021, 0};
static int joe_kuo_d6_initial_number00265[] = {1, 1, 7, 13, 31, 5, 115, 153, 143, 957, 623, 0};
static int joe_kuo_d6_initial_number00266[] = {1, 1, 5, 11, 25, 19, 29, 31, 297, 943, 443, 0};
static int joe_kuo_d6_initial_number00267[] = {1, 3, 3, 5, 21, 11, 127, 81, 479, 25, 699, 0};
static int joe_kuo_d6_initial_number00268[] = {1, 1, 3, 11, 25, 31, 97, 19, 195, 781, 705, 0};
static int joe_kuo_d6_initial_number00269[] = {1, 1, 5, 5, 31, 11, 75, 207, 197, 885, 2037, 0};
static int joe_kuo_d6_initial_number00270[] = {1, 1, 1, 11, 9, 23, 29, 231, 307, 17, 1497, 0};
static int joe_kuo_d6_initial_number00271[] = {1, 1, 5, 11, 11, 43, 111, 233, 307, 523, 1259, 0};
static int joe_kuo_d6_initial_number00272[] = {1, 1, 7, 5, 1, 21, 107, 229, 343, 933, 217, 0};
static int joe_kuo_d6_initial_number00273[] = {1, 1, 1, 11, 3, 21, 125, 131, 405, 599, 1469, 0};
static int joe_kuo_d6_initial_number00274[] = {1, 3, 5, 5, 9, 39, 33, 81, 389, 151, 811, 0};
static int joe_kuo_d6_initial_number00275[] = {1, 1, 7, 7, 7, 1, 59, 223, 265, 529, 2021, 0};
static int joe_kuo_d6_initial_number00276[] = {1, 3, 1, 3, 9, 23, 85, 181, 47, 265, 49, 0};
static int joe_kuo_d6_initial_number00277[] = {1, 3, 5, 11, 19, 23, 9, 7, 157, 299, 1983, 0};
static int joe_kuo_d6_initial_number00278[] = {1, 3, 1, 5, 15, 5, 21, 105, 29, 339, 1041, 0};
static int joe_kuo_d6_initial_number00279[] = {1, 1, 1, 1, 5, 33, 65, 85, 111, 705, 479, 0};
static int joe_kuo_d6_initial_number00280[] = {1, 1, 1, 7, 9, 35, 77, 87, 151, 321, 101, 0};
static int joe_kuo_d6_initial_number00281[] = {1, 1, 5, 7, 17, 1, 51, 197, 175, 811, 1229, 0};
static int joe_kuo_d6_initial_number00282[] = {1, 3, 3, 15, 23, 37, 85, 185, 239, 543, 731, 0};
static int joe_kuo_d6_initial_number00283[] = {1, 3, 1, 7, 7, 55, 111, 109, 289, 439, 243, 0};
static int joe_kuo_d6_initial_number00284[] = {1, 1, 7, 11, 17, 53, 35, 217, 259, 853, 1667, 0};
static int joe_kuo_d6_initial_number00285[] = {1, 3, 1, 9, 1, 63, 87, 17, 73, 565, 1091, 0};
static int joe_kuo_d6_initial_number00286[] = {1, 1, 3, 3, 11, 41, 1, 57, 295, 263, 1029, 0};
static int joe_kuo_d6_initial_number00287[] = {1, 1, 5, 1, 27, 45, 109, 161, 411, 421, 1395, 0};
static int joe_kuo_d6_initial_number00288[] = {1, 3, 5, 11, 25, 35, 47, 191, 339, 417, 1727, 0};
static int joe_kuo_d6_initial_number00289[] = {1, 1, 5, 15, 21, 1, 93, 251, 351, 217, 1767, 0};
static int joe_kuo_d6_initial_number00290[] = {1, 3, 3, 11, 3, 7, 75, 155, 313, 211, 491, 0};
static int joe_kuo_d6_initial_number00291[] = {1, 3, 3, 5, 11, 9, 101, 161, 453, 913, 1067, 0};
static int joe_kuo_d6_initial_number00292[] = {1, 1, 3, 1, 15, 45, 127, 141, 163, 727, 1597, 0};
static int joe_kuo_d6_initial_number00293[] = {1, 3, 3, 7, 1, 33, 63, 73, 73, 341, 1691, 0};
static int joe_kuo_d6_initial_number00294[] = {1, 3, 5, 13, 15, 39, 53, 235, 77, 99, 949, 0};
static int joe_kuo_d6_initial_number00295[] = {1, 1, 5, 13, 31, 17, 97, 13, 215, 301, 1927, 0};
static int joe_kuo_d6_initial_number00296[] = {1, 1, 7, 1, 1, 37, 91, 93, 441, 251, 1131, 0};
static int joe_kuo_d6_initial_number00297[] = {1, 3, 7, 9, 25, 5, 105, 69, 81, 943, 1459, 0};
static int joe_kuo_d6_initial_number00298[] = {1, 3, 7, 11, 31, 43, 13, 209, 27, 1017, 501, 0};
static int joe_kuo_d6_initial_number00299[] = {1, 1, 7, 15, 1, 33, 31, 233, 161, 507, 387, 0};
static int joe_kuo_d6_initial_number00300[] = {1, 3, 3, 5, 5, 53, 33, 177, 503, 627, 1927, 0};
static int joe_kuo_d6_initial_number00301[] = {1, 1, 7, 11, 7, 61, 119, 31, 457, 229, 1875, 0};
static int joe_kuo_d6_initial_number00302[] = {1, 1, 5, 15, 19, 5, 53, 201, 157, 885, 1057, 0};
static int joe_kuo_d6_initial_number00303[] = {1, 3, 7, 9, 1, 35, 51, 113, 249, 425, 1009, 0};
static int joe_kuo_d6_initial_number00304[] = {1, 3, 5, 7, 21, 53, 37, 155, 119, 345, 631, 0};
static int joe_kuo_d6_initial_number00305[] = {1, 3, 5, 7, 15, 31, 109, 69, 503, 595, 1879, 0};
static int joe_kuo_d6_initial_number00306[] = {1, 3, 3, 1, 25, 35, 65, 131, 403, 705, 503, 0};
static int joe_kuo_d6_initial_number00307[] = {1, 3, 7, 7, 19, 33, 11, 153, 45, 633, 499, 0};
static int joe_kuo_d6_initial_number00308[] = {1, 3, 3, 5, 11, 3, 29, 93, 487, 33, 703, 0};
static int joe_kuo_d6_initial_number00309[] = {1, 1, 3, 15, 21, 53, 107, 179, 387, 927, 1757, 0};
static int joe_kuo_d6_initial_number00310[] = {1, 1, 3, 7, 21, 45, 51, 147, 175, 317, 361, 0};
static int joe_kuo_d6_initial_number00311[] = {1, 1, 1, 7, 7, 13, 15, 243, 269, 795, 1965, 0};
static int joe_kuo_d6_initial_number00312[] = {1, 1, 3, 5, 19, 33, 57, 115, 443, 537, 627, 0};
static int joe_kuo_d6_initial_number00313[] = {1, 3, 3, 9, 3, 39, 25, 61, 185, 717, 1049, 0};
static int joe_kuo_d6_initial_number00314[] = {1, 3, 7, 3, 7, 37, 107, 153, 7, 269, 1581, 0};
static int joe_kuo_d6_initial_number00315[] = {1, 1, 7, 3, 7, 41, 91, 41, 145, 489, 1245, 0};
static int joe_kuo_d6_initial_number00316[] = {1, 1, 5, 9, 7, 7, 105, 81, 403, 407, 283, 0};
static int joe_kuo_d6_initial_number00317[] = {1, 1, 7, 9, 27, 55, 29, 77, 193, 963, 949, 0};
static int joe_kuo_d6_initial_number00318[] = {1, 1, 5, 3, 25, 51, 107, 63, 403, 917, 815, 0};
static int joe_kuo_d6_initial_number00319[] = {1, 1, 7, 3, 7, 61, 19, 51, 457, 599, 535, 0};
static int joe_kuo_d6_initial_number00320[] = {1, 3, 7, 1, 23, 51, 105, 153, 239, 215, 1847, 0};
static int joe_kuo_d6_initial_number00321[] = {1, 1, 3, 5, 27, 23, 79, 49, 495, 45, 1935, 0};
static int joe_kuo_d6_initial_number00322[] = {1, 1, 1, 11, 11, 47, 55, 133, 495, 999, 1461, 0};
static int joe_kuo_d6_initial_number00323[] = {1, 1, 3, 15, 27, 51, 93, 17, 355, 763, 1675, 0};
static int joe_kuo_d6_initial_number00324[] = {1, 3, 1, 3, 1, 3, 79, 119, 499, 17, 995, 0};
static int joe_kuo_d6_initial_number00325[] = {1, 1, 1, 1, 15, 43, 45, 17, 167, 973, 799, 0};
static int joe_kuo_d6_initial_number00326[] = {1, 1, 1, 3, 27, 49, 89, 29, 483, 913, 2023, 0};
static int joe_kuo_d6_initial_number00327[] = {1, 1, 3, 3, 5, 11, 75, 7, 41, 851, 611, 0};
static int joe_kuo_d6_initial_number00328[] = {1, 3, 1, 3, 7, 57, 39, 123, 257, 283, 507, 0};
static int joe_kuo_d6_initial_number00329[] = {1, 3, 3, 11, 27, 23, 113, 229, 187, 299, 133, 0};
static int joe_kuo_d6_initial_number00330[] = {1, 1, 3, 13, 9, 63, 101, 77, 451, 169, 337, 0};
static int joe_kuo_d6_initial_number00331[] = {1, 3, 7, 3, 3, 59, 45, 195, 229, 415, 409, 0};
static int joe_kuo_d6_initial_number00332[] = {1, 3, 5, 3, 11, 19, 71, 93, 43, 857, 369, 0};
static int joe_kuo_d6_initial_number00333[] = {1, 3, 7, 9, 19, 33, 115, 19, 241, 703, 247, 0};
static int joe_kuo_d6_initial_number00334[] = {1, 3, 5, 11, 5, 35, 21, 155, 463, 1005, 1073, 0};
static int joe_kuo_d6_initial_number00335[] = {1, 3, 7, 3, 25, 15, 109, 83, 93, 69, 1189, 0};
static int joe_kuo_d6_initial_number00336[] = {1, 3, 5, 7, 5, 21, 93, 133, 135, 167, 903, 0};
static int joe_kuo_d6_initial_number00337[] = {1, 1, 7, 7, 3, 59, 121, 161, 285, 815, 1769, 3705, 0};
static int joe_kuo_d6_initial_number00338[] = {1, 3, 1, 1, 3, 47, 103, 171, 381, 609, 185, 373, 0};
static int joe_kuo_d6_initial_number00339[] = {1, 3, 3, 15, 23, 33, 107, 131, 441, 445, 689, 2059, 0};
static int joe_kuo_d6_initial_number00340[] = {1, 3, 3, 11, 7, 53, 101, 167, 435, 803, 1255, 3781, 0};
static int joe_kuo_d6_initial_number00341[] = {1, 1, 5, 11, 15, 59, 41, 19, 135, 835, 1263, 505, 0};
static int joe_kuo_d6_initial_number00342[] = {1, 1, 7, 11, 21, 49, 23, 219, 127, 961, 1065, 385, 0};
static int joe_kuo_d6_initial_number00343[] = {1, 3, 5, 15, 7, 47, 117, 217, 45, 731, 1639, 733, 0};
static int joe_kuo_d6_initial_number00344[] = {1, 1, 7, 11, 27, 57, 91, 87, 81, 35, 1269, 1007, 0};
static int joe_kuo_d6_initial_number00345[] = {1, 1, 3, 11, 15, 37, 53, 219, 193, 937, 1899, 3733, 0};
static int joe_kuo_d6_initial_number00346[] = {1, 3, 5, 3, 13, 11, 27, 19, 199, 393, 965, 2195, 0};
static int joe_kuo_d6_initial_number00347[] = {1, 3, 1, 3, 5, 1, 37, 173, 413, 1023, 553, 409, 0};
static int joe_kuo_d6_initial_number00348[] = {1, 3, 1, 7, 15, 29, 123, 95, 255, 373, 1799, 3841, 0};
static int joe_kuo_d6_initial_number00349[] = {1, 3, 5, 13, 21, 57, 51, 17, 511, 195, 1157, 1831, 0};
static int joe_kuo_d6_initial_number00350[] = {1, 1, 1, 15, 29, 19, 7, 73, 295, 519, 587, 3523, 0};
static int joe_kuo_d6_initial_number00351[] = {1, 1, 5, 13, 13, 35, 115, 191, 123, 535, 717, 1661, 0};
static int joe_kuo_d6_initial_number00352[] = {1, 3, 3, 5, 23, 21, 47, 251, 379, 921, 1119, 297, 0};
static int joe_kuo_d6_initial_number00353[] = {1, 3, 3, 9, 29, 53, 121, 201, 135, 193, 523, 2943, 0};
static int joe_kuo_d6_initial_number00354[] = {1, 1, 1, 7, 29, 45, 125, 9, 99, 867, 425, 601, 0};
static int joe_kuo_d6_initial_number00355[] = {1, 3, 1, 9, 13, 15, 67, 181, 109, 293, 1305, 3079, 0};
static int joe_kuo_d6_initial_number00356[] = {1, 3, 3, 9, 5, 35, 15, 209, 305, 87, 767, 2795, 0};
static int joe_kuo_d6_initial_number00357[] = {1, 3, 3, 11, 27, 57, 113, 123, 179, 643, 149, 523, 0};
static int joe_kuo_d6_initial_number00358[] = {1, 1, 3, 15, 11, 17, 67, 223, 63, 657, 335, 3309, 0};
static int joe_kuo_d6_initial_number00359[] = {1, 1, 1, 9, 25, 29, 109, 159, 39, 513, 571, 1761, 0};
static int joe_kuo_d6_initial_number00360[] = {1, 1, 3, 1, 5, 63, 75, 19, 455, 601, 123, 691, 0};
static int joe_kuo_d6_initial_number00361[] = {1, 1, 1, 3, 21, 5, 45, 169, 377, 513, 1951, 2565, 0};
static int joe_kuo_d6_initial_number00362[] = {1, 1, 3, 11, 3, 33, 119, 69, 253, 907, 805, 1449, 0};
static int joe_kuo_d6_initial_number00363[] = {1, 1, 5, 13, 31, 15, 17, 7, 499, 61, 687, 1867, 0};
static int joe_kuo_d6_initial_number00364[] = {1, 3, 7, 11, 17, 33, 73, 77, 299, 243, 641, 2345, 0};
static int joe_kuo_d6_initial_number00365[] = {1, 1, 7, 11, 9, 35, 31, 235, 359, 647, 379, 1161, 0};
static int joe_kuo_d6_initial_number00366[] = {1, 3, 3, 15, 31, 25, 5, 67, 33, 45, 437, 4067, 0};
static int joe_kuo_d6_initial_number00367[] = {1, 1, 3, 11, 7, 17, 37, 87, 333, 253, 1517, 2921, 0};
static int joe_kuo_d6_initial_number00368[] = {1, 1, 7, 15, 7, 15, 107, 189, 153, 769, 1521, 3427, 0};
static int joe_kuo_d6_initial_number00369[] = {1, 3, 5, 13, 5, 61, 113, 37, 293, 393, 113, 43, 0};
static int joe_kuo_d6_initial_number00370[] = {1, 1, 1, 15, 29, 43, 107, 31, 167, 147, 301, 1021, 0};
static int joe_kuo_d6_initial_number00371[] = {1, 1, 1, 13, 3, 1, 35, 93, 195, 181, 2027, 1491, 0};
static int joe_kuo_d6_initial_number00372[] = {1, 3, 3, 3, 13, 33, 77, 199, 153, 221, 1699, 3671, 0};
static int joe_kuo_d6_initial_number00373[] = {1, 3, 5, 13, 7, 49, 123, 155, 495, 681, 819, 809, 0};
static int joe_kuo_d6_initial_number00374[] = {1, 3, 5, 15, 27, 61, 117, 189, 183, 887, 617, 4053, 0};
static int joe_kuo_d6_initial_number00375[] = {1, 1, 1, 7, 31, 59, 125, 235, 389, 369, 447, 1039, 0};
static int joe_kuo_d6_initial_number00376[] = {1, 3, 5, 1, 5, 39, 115, 89, 249, 377, 431, 3747, 0};
static int joe_kuo_d6_initial_number00377[] = {1, 1, 1, 5, 7, 47, 59, 157, 77, 445, 699, 3439, 0};
static int joe_kuo_d6_initial_number00378[] = {1, 1, 3, 5, 11, 21, 19, 75, 11, 599, 1575, 735, 0};
static int joe_kuo_d6_initial_number00379[] = {1, 3, 5, 3, 19, 13, 41, 69, 199, 143, 1761, 3215, 0};
static int joe_kuo_d6_initial_number00380[] = {1, 3, 5, 7, 19, 43, 25, 41, 41, 11, 1647, 2783, 0};
static int joe_kuo_d6_initial_number00381[] = {1, 3, 1, 9, 19, 45, 111, 97, 405, 399, 457, 3219, 0};
static int joe_kuo_d6_initial_number00382[] = {1, 1, 3, 1, 23, 15, 65, 121, 59, 985, 829, 2259, 0};
static int joe_kuo_d6_initial_number00383[] = {1, 1, 3, 7, 17, 13, 107, 229, 75, 551, 1299, 2363, 0};
static int joe_kuo_d6_initial_number00384[] = {1, 1, 5, 5, 21, 57, 23, 199, 509, 139, 2007, 3875, 0};
static int joe_kuo_d6_initial_number00385[] = {1, 3, 1, 11, 19, 53, 15, 229, 215, 741, 695, 823, 0};
static int joe_kuo_d6_initial_number00386[] = {1, 3, 7, 1, 29, 3, 17, 163, 417, 559, 549, 319, 0};
static int joe_kuo_d6_initial_number00387[] = {1, 3, 1, 13, 17, 9, 47, 133, 365, 7, 1937, 1071, 0};
static int joe_kuo_d6_initial_number00388[] = {1, 3, 5, 7, 19, 37, 55, 163, 301, 249, 689, 2327, 0};
static int joe_kuo_d6_initial_number00389[] = {1, 3, 5, 13, 11, 23, 61, 205, 257, 377, 615, 1457, 0};
static int joe_kuo_d6_initial_number00390[] = {1, 3, 5, 1, 23, 37, 13, 75, 331, 495, 579, 3367, 0};
static int joe_kuo_d6_initial_number00391[] = {1, 1, 1, 9, 1, 23, 49, 129, 475, 543, 883, 2531, 0};
static int joe_kuo_d6_initial_number00392[] = {1, 3, 1, 5, 23, 59, 51, 35, 343, 695, 219, 369, 0};
static int joe_kuo_d6_initial_number00393[] = {1, 3, 3, 1, 27, 17, 63, 97, 71, 507, 1929, 613, 0};
static int joe_kuo_d6_initial_number00394[] = {1, 1, 5, 1, 21, 31, 11, 109, 247, 409, 1817, 2173, 0};
static int joe_kuo_d6_initial_number00395[] = {1, 1, 3, 15, 23, 9, 7, 209, 301, 23, 147, 1691, 0};
static int joe_kuo_d6_initial_number00396[] = {1, 1, 7, 5, 5, 19, 37, 229, 249, 277, 1115, 2309, 0};
static int joe_kuo_d6_initial_number00397[] = {1, 1, 1, 5, 5, 63, 5, 249, 285, 431, 343, 2467, 0};
static int joe_kuo_d6_initial_number00398[] = {1, 1, 1, 11, 7, 45, 35, 75, 505, 537, 29, 2919, 0};
static int joe_kuo_d6_initial_number00399[] = {1, 3, 5, 15, 11, 39, 15, 63, 263, 9, 199, 445, 0};
static int joe_kuo_d6_initial_number00400[] = {1, 3, 3, 3, 27, 63, 53, 171, 227, 63, 1049, 827, 0};
static int joe_kuo_d6_initial_number00401[] = {1, 1, 3, 13, 7, 11, 115, 183, 179, 937, 1785, 381, 0};
static int joe_kuo_d6_initial_number00402[] = {1, 3, 1, 11, 13, 15, 107, 81, 53, 295, 1785, 3757, 0};
static int joe_kuo_d6_initial_number00403[] = {1, 3, 3, 13, 11, 5, 109, 243, 3, 505, 323, 1373, 0};
static int joe_kuo_d6_initial_number00404[] = {1, 3, 3, 11, 21, 51, 17, 177, 381, 937, 1263, 3889, 0};
static int joe_kuo_d6_initial_number00405[] = {1, 3, 5, 9, 27, 25, 85, 193, 143, 573, 1189, 2995, 0};
static int joe_kuo_d6_initial_number00406[] = {1, 3, 5, 11, 13, 9, 81, 21, 159, 953, 91, 1751, 0};
static int joe_kuo_d6_initial_number00407[] = {1, 1, 3, 3, 27, 61, 11, 253, 391, 333, 1105, 635, 0};
static int joe_kuo_d6_initial_number00408[] = {1, 3, 3, 15, 9, 57, 95, 81, 419, 735, 251, 1141, 0};
static int joe_kuo_d6_initial_number00409[] = {1, 1, 5, 9, 31, 39, 59, 13, 319, 807, 1241, 2433, 0};
static int joe_kuo_d6_initial_number00410[] = {1, 3, 3, 5, 27, 13, 107, 141, 423, 937, 2027, 3233, 0};
static int joe_kuo_d6_initial_number00411[] = {1, 3, 3, 9, 9, 25, 125, 23, 443, 835, 1245, 847, 0};
static int joe_kuo_d6_initial_number00412[] = {1, 1, 7, 15, 17, 17, 83, 107, 411, 285, 847, 1571, 0};
static int joe_kuo_d6_initial_number00413[] = {1, 1, 3, 13, 29, 61, 37, 81, 349, 727, 1453, 1957, 0};
static int joe_kuo_d6_initial_number00414[] = {1, 3, 7, 11, 31, 13, 59, 77, 273, 591, 1265, 1533, 0};
static int joe_kuo_d6_initial_number00415[] = {1, 1, 7, 7, 13, 17, 25, 25, 187, 329, 347, 1473, 0};
static int joe_kuo_d6_initial_number00416[] = {1, 3, 7, 7, 5, 51, 37, 99, 221, 153, 503, 2583, 0};
static int joe_kuo_d6_initial_number00417[] = {1, 3, 1, 13, 19, 27, 11, 69, 181, 479, 1183, 3229, 0};
static int joe_kuo_d6_initial_number00418[] = {1, 3, 3, 13, 23, 21, 103, 147, 323, 909, 947, 315, 0};
static int joe_kuo_d6_initial_number00419[] = {1, 3, 1, 3, 23, 1, 31, 59, 93, 513, 45, 2271, 0};
static int joe_kuo_d6_initial_number00420[] = {1, 3, 5, 1, 7, 43, 109, 59, 231, 41, 1515, 2385, 0};
static int joe_kuo_d6_initial_number00421[] = {1, 3, 1, 5, 31, 57, 49, 223, 283, 1013, 11, 701, 0};
static int joe_kuo_d6_initial_number00422[] = {1, 1, 5, 1, 19, 53, 55, 31, 31, 299, 495, 693, 0};
static int joe_kuo_d6_initial_number00423[] = {1, 3, 3, 9, 5, 33, 77, 253, 427, 791, 731, 1019, 0};
static int joe_kuo_d6_initial_number00424[] = {1, 3, 7, 11, 1, 9, 119, 203, 53, 877, 1707, 3499, 0};
static int joe_kuo_d6_initial_number00425[] = {1, 1, 3, 7, 13, 39, 55, 159, 423, 113, 1653, 3455, 0};
static int joe_kuo_d6_initial_number00426[] = {1, 1, 3, 5, 21, 47, 51, 59, 55, 411, 931, 251, 0};
static int joe_kuo_d6_initial_number00427[] = {1, 3, 7, 3, 31, 25, 81, 115, 405, 239, 741, 455, 0};
static int joe_kuo_d6_initial_number00428[] = {1, 1, 5, 1, 31, 3, 101, 83, 479, 491, 1779, 2225, 0};
static int joe_kuo_d6_initial_number00429[] = {1, 3, 3, 3, 9, 37, 107, 161, 203, 503, 767, 3435, 0};
static int joe_kuo_d6_initial_number00430[] = {1, 3, 7, 9, 1, 27, 61, 119, 233, 39, 1375, 4089, 0};
static int joe_kuo_d6_initial_number00431[] = {1, 1, 5, 9, 1, 31, 45, 51, 369, 587, 383, 2813, 0};
static int joe_kuo_d6_initial_number00432[] = {1, 3, 7, 5, 31, 7, 49, 119, 487, 591, 1627, 53, 0};
static int joe_kuo_d6_initial_number00433[] = {1, 1, 7, 1, 9, 47, 1, 223, 369, 711, 1603, 1917, 0};
static int joe_kuo_d6_initial_number00434[] = {1, 3, 5, 3, 21, 37, 111, 17, 483, 739, 1193, 2775, 0};
static int joe_kuo_d6_initial_number00435[] = {1, 3, 3, 7, 17, 11, 51, 117, 455, 191, 1493, 3821, 0};
static int joe_kuo_d6_initial_number00436[] = {1, 1, 5, 9, 23, 39, 99, 181, 343, 485, 99, 1931, 0};
static int joe_kuo_d6_initial_number00437[] = {1, 3, 1, 7, 29, 49, 31, 71, 489, 527, 1763, 2909, 0};
static int joe_kuo_d6_initial_number00438[] = {1, 1, 5, 11, 5, 5, 73, 189, 321, 57, 1191, 3685, 0};
static int joe_kuo_d6_initial_number00439[] = {1, 1, 5, 15, 13, 45, 125, 207, 371, 415, 315, 983, 0};
static int joe_kuo_d6_initial_number00440[] = {1, 3, 3, 5, 25, 59, 33, 31, 239, 919, 1859, 2709, 0};
static int joe_kuo_d6_initial_number00441[] = {1, 3, 5, 13, 27, 61, 23, 115, 61, 413, 1275, 3559, 0};
static int joe_kuo_d6_initial_number00442[] = {1, 3, 7, 15, 5, 59, 101, 81, 47, 967, 809, 3189, 0};
static int joe_kuo_d6_initial_number00443[] = {1, 1, 5, 11, 31, 15, 39, 25, 173, 505, 809, 2677, 0};
static int joe_kuo_d6_initial_number00444[] = {1, 1, 5, 9, 19, 13, 95, 89, 511, 127, 1395, 2935, 0};
static int joe_kuo_d6_initial_number00445[] = {1, 1, 5, 5, 31, 45, 9, 57, 91, 303, 1295, 3215, 0};
static int joe_kuo_d6_initial_number00446[] = {1, 3, 3, 3, 19, 15, 113, 187, 217, 489, 1285, 1803, 0};
static int joe_kuo_d6_initial_number00447[] = {1, 1, 3, 1, 13, 29, 57, 139, 255, 197, 537, 2183, 0};
static int joe_kuo_d6_initial_number00448[] = {1, 3, 1, 15, 11, 7, 53, 255, 467, 9, 757, 3167, 0};
static int joe_kuo_d6_initial_number00449[] = {1, 3, 3, 15, 21, 13, 9, 189, 359, 323, 49, 333, 0};
static int joe_kuo_d6_initial_number00450[] = {1, 3, 7, 11, 7, 37, 21, 119, 401, 157, 1659, 1069, 0};
static int joe_kuo_d6_initial_number00451[] = {1, 1, 5, 7, 17, 33, 115, 229, 149, 151, 2027, 279, 0};
static int joe_kuo_d6_initial_number00452[] = {1, 1, 5, 15, 5, 49, 77, 155, 383, 385, 1985, 945, 0};
static int joe_kuo_d6_initial_number00453[] = {1, 3, 7, 3, 7, 55, 85, 41, 357, 527, 1715, 1619, 0};
static int joe_kuo_d6_initial_number00454[] = {1, 1, 3, 1, 21, 45, 115, 21, 199, 967, 1581, 3807, 0};
static int joe_kuo_d6_initial_number00455[] = {1, 1, 3, 7, 21, 39, 117, 191, 169, 73, 413, 3417, 0};
static int joe_kuo_d6_initial_number00456[] = {1, 1, 1, 13, 1, 31, 57, 195, 231, 321, 367, 1027, 0};
static int joe_kuo_d6_initial_number00457[] = {1, 3, 7, 3, 11, 29, 47, 161, 71, 419, 1721, 437, 0};
static int joe_kuo_d6_initial_number00458[] = {1, 1, 7, 3, 11, 9, 43, 65, 157, 1, 1851, 823, 0};
static int joe_kuo_d6_initial_number00459[] = {1, 1, 1, 5, 21, 15, 31, 101, 293, 299, 127, 1321, 0};
static int joe_kuo_d6_initial_number00460[] = {1, 1, 7, 1, 27, 1, 11, 229, 241, 705, 43, 1475, 0};
static int joe_kuo_d6_initial_number00461[] = {1, 3, 7, 1, 5, 15, 73, 183, 193, 55, 1345, 49, 0};
static int joe_kuo_d6_initial_number00462[] = {1, 3, 3, 3, 19, 3, 55, 21, 169, 663, 1675, 137, 0};
static int joe_kuo_d6_initial_number00463[] = {1, 1, 1, 13, 7, 21, 69, 67, 373, 965, 1273, 2279, 0};
static int joe_kuo_d6_initial_number00464[] = {1, 1, 7, 7, 21, 23, 17, 43, 341, 845, 465, 3355, 0};
static int joe_kuo_d6_initial_number00465[] = {1, 3, 5, 5, 25, 5, 81, 101, 233, 139, 359, 2057, 0};
static int joe_kuo_d6_initial_number00466[] = {1, 1, 3, 11, 15, 39, 55, 3, 471, 765, 1143, 3941, 0};
static int joe_kuo_d6_initial_number00467[] = {1, 1, 7, 15, 9, 57, 81, 79, 215, 433, 333, 3855, 0};
static int joe_kuo_d6_initial_number00468[] = {1, 1, 5, 5, 19, 45, 83, 31, 209, 363, 701, 1303, 0};
static int joe_kuo_d6_initial_number00469[] = {1, 3, 7, 5, 1, 13, 55, 163, 435, 807, 287, 2031, 0};
static int joe_kuo_d6_initial_number00470[] = {1, 3, 3, 7, 3, 3, 17, 197, 39, 169, 489, 1769, 0};
static int joe_kuo_d6_initial_number00471[] = {1, 1, 3, 5, 29, 43, 87, 161, 289, 339, 1233, 2353, 0};
static int joe_kuo_d6_initial_number00472[] = {1, 3, 3, 9, 21, 9, 77, 1, 453, 167, 1643, 2227, 0};
static int joe_kuo_d6_initial_number00473[] = {1, 1, 7, 1, 15, 7, 67, 33, 193, 241, 1031, 2339, 0};
static int joe_kuo_d6_initial_number00474[] = {1, 3, 1, 11, 1, 63, 45, 65, 265, 661, 849, 1979, 0};
static int joe_kuo_d6_initial_number00475[] = {1, 3, 1, 13, 19, 49, 3, 11, 159, 213, 659, 2839, 0};
static int joe_kuo_d6_initial_number00476[] = {1, 3, 5, 11, 9, 29, 27, 227, 253, 449, 1403, 3427, 0};
static int joe_kuo_d6_initial_number00477[] = {1, 1, 3, 1, 7, 3, 77, 143, 277, 779, 1499, 475, 0};
static int joe_kuo_d6_initial_number00478[] = {1, 1, 1, 5, 11, 23, 87, 131, 393, 849, 193, 3189, 0};
static int joe_kuo_d6_initial_number00479[] = {1, 3, 5, 11, 3, 3, 89, 9, 449, 243, 1501, 1739, 0};
static int joe_kuo_d6_initial_number00480[] = {1, 3, 1, 9, 29, 29, 113, 15, 65, 611, 135, 3687, 0};
static int joe_kuo_d6_initial_number00481[] = {1, 1, 1, 9, 21, 19, 39, 151, 395, 501, 1339, 959, 2725, 0};
static int joe_kuo_d6_initial_number00482[] = {1, 3, 7, 1, 7, 35, 45, 33, 119, 225, 1631, 1695, 1459, 0};
static int joe_kuo_d6_initial_number00483[] = {1, 1, 1, 3, 25, 55, 37, 79, 167, 907, 1075, 271, 4059, 0};
static int joe_kuo_d6_initial_number00484[] = {1, 3, 5, 13, 5, 13, 53, 165, 437, 67, 1705, 3177, 8095, 0};
static int joe_kuo_d6_initial_number00485[] = {1, 3, 3, 13, 27, 57, 95, 55, 443, 245, 1945, 1725, 1929, 0};
static int joe_kuo_d6_initial_number00486[] = {1, 3, 1, 9, 5, 33, 109, 35, 99, 827, 341, 2401, 2411, 0};
static int joe_kuo_d6_initial_number00487[] = {1, 1, 5, 9, 7, 33, 43, 39, 87, 799, 635, 3481, 7159, 0};
static int joe_kuo_d6_initial_number00488[] = {1, 3, 1, 1, 31, 15, 45, 27, 337, 113, 987, 2065, 2529, 0};
static int joe_kuo_d6_initial_number00489[] = {1, 1, 5, 9, 5, 15, 105, 123, 479, 289, 1609, 2177, 4629, 0};
static int joe_kuo_d6_initial_number00490[] = {1, 3, 5, 11, 31, 47, 97, 87, 385, 195, 1041, 651, 3271, 0};
static int joe_kuo_d6_initial_number00491[] = {1, 1, 3, 7, 17, 3, 101, 55, 87, 629, 1687, 1387, 2745, 0};
static int joe_kuo_d6_initial_number00492[] = {1, 3, 5, 5, 7, 21, 9, 237, 313, 549, 1107, 117, 6183, 0};
static int joe_kuo_d6_initial_number00493[] = {1, 1, 3, 9, 9, 5, 55, 201, 487, 851, 1103, 2993, 4055, 0};
static int joe_kuo_d6_initial_number00494[] = {1, 1, 5, 9, 31, 19, 59, 7, 363, 381, 1167, 2057, 5715, 0};
static int joe_kuo_d6_initial_number00495[] = {1, 3, 3, 15, 23, 63, 19, 227, 387, 827, 487, 1049, 7471, 0};
static int joe_kuo_d6_initial_number00496[] = {1, 3, 1, 5, 23, 25, 61, 245, 363, 863, 963, 3583, 6475, 0};
static int joe_kuo_d6_initial_number00497[] = {1, 1, 5, 1, 5, 27, 81, 85, 275, 49, 235, 3291, 1195, 0};
static int joe_kuo_d6_initial_number00498[] = {1, 1, 5, 7, 23, 53, 85, 107, 511, 779, 1265, 1093, 7859, 0};
static int joe_kuo_d6_initial_number00499[] = {1, 3, 3, 1, 9, 21, 75, 219, 59, 485, 1739, 3845, 1109, 0};
static int joe_kuo_d6_initial_number00500[] = {1, 3, 5, 1, 13, 41, 19, 143, 293, 391, 2023, 1791, 4399, 0};
static int joe_kuo_d6_initial_number00501[] = {1, 3, 7, 15, 21, 13, 21, 195, 215, 413, 523, 2099, 2341, 0};
static int joe_kuo_d6_initial_number00502[] = {1, 1, 1, 3, 29, 51, 47, 57, 135, 575, 943, 1673, 541, 0};
static int joe_kuo_d6_initial_number00503[] = {1, 3, 5, 1, 9, 13, 113, 175, 447, 115, 657, 4077, 5973, 0};
static int joe_kuo_d6_initial_number00504[] = {1, 1, 1, 11, 17, 41, 37, 95, 297, 579, 911, 2207, 2387, 0};
static int joe_kuo_d6_initial_number00505[] = {1, 3, 5, 3, 23, 11, 23, 231, 93, 667, 711, 1563, 7961, 0};
static int joe_kuo_d6_initial_number00506[] = {1, 1, 7, 3, 17, 59, 13, 181, 141, 991, 1817, 457, 1711, 0};
static int joe_kuo_d6_initial_number00507[] = {1, 3, 3, 5, 31, 59, 81, 205, 245, 537, 1049, 997, 1815, 0};
static int joe_kuo_d6_initial_number00508[] = {1, 3, 7, 5, 17, 13, 9, 79, 17, 185, 5, 2211, 6263, 0};
static int joe_kuo_d6_initial_number00509[] = {1, 3, 7, 13, 7, 53, 61, 145, 13, 285, 1203, 947, 2933, 0};
static int joe_kuo_d6_initial_number00510[] = {1, 1, 7, 3, 31, 19, 69, 217, 47, 441, 1893, 673, 4451, 0};
static int joe_kuo_d6_initial_number00511[] = {1, 1, 1, 1, 25, 9, 23, 225, 385, 629, 603, 3747, 4241, 0};
static int joe_kuo_d6_initial_number00512[] = {1, 3, 1, 9, 5, 37, 31, 237, 431, 79, 1521, 459, 2523, 0};
static int joe_kuo_d6_initial_number00513[] = {1, 3, 7, 3, 9, 43, 105, 179, 5, 225, 799, 1777, 4893, 0};
static int joe_kuo_d6_initial_number00514[] = {1, 1, 3, 1, 29, 45, 29, 159, 267, 247, 455, 847, 3909, 0};
static int joe_kuo_d6_initial_number00515[] = {1, 1, 3, 7, 25, 21, 121, 57, 467, 275, 719, 1521, 7319, 0};
static int joe_kuo_d6_initial_number00516[] = {1, 3, 1, 3, 11, 35, 119, 123, 81, 979, 1187, 3623, 4293, 0};
static int joe_kuo_d6_initial_number00517[] = {1, 1, 1, 7, 15, 25, 121, 235, 25, 487, 873, 1787, 1977, 0};
static int joe_kuo_d6_initial_number00518[] = {1, 1, 1, 11, 3, 7, 17, 135, 345, 353, 383, 4011, 2573, 0};
static int joe_kuo_d6_initial_number00519[] = {1, 3, 7, 15, 27, 13, 97, 123, 65, 675, 951, 1285, 6559, 0};
static int joe_kuo_d6_initial_number00520[] = {1, 3, 7, 3, 7, 1, 71, 19, 325, 765, 337, 1197, 2697, 0};
static int joe_kuo_d6_initial_number00521[] = {1, 3, 5, 1, 31, 37, 11, 71, 169, 283, 83, 3801, 7083, 0};
static int joe_kuo_d6_initial_number00522[] = {1, 1, 3, 15, 17, 29, 83, 65, 275, 679, 1749, 4007, 7749, 0};
static int joe_kuo_d6_initial_number00523[] = {1, 1, 3, 1, 21, 11, 41, 95, 237, 361, 1819, 2783, 2383, 0};
static int joe_kuo_d6_initial_number00524[] = {1, 3, 7, 11, 29, 57, 111, 187, 465, 145, 605, 1987, 8109, 0};
static int joe_kuo_d6_initial_number00525[] = {1, 1, 3, 3, 19, 15, 55, 83, 357, 1001, 643, 1517, 6529, 0};
static int joe_kuo_d6_initial_number00526[] = {1, 3, 1, 5, 29, 35, 73, 23, 77, 619, 1523, 1725, 8145, 0};
static int joe_kuo_d6_initial_number00527[] = {1, 1, 5, 5, 19, 23, 7, 197, 449, 337, 717, 2921, 315, 0};
static int joe_kuo_d6_initial_number00528[] = {1, 3, 5, 9, 7, 63, 117, 97, 97, 813, 1925, 2817, 1579, 0};
static int joe_kuo_d6_initial_number00529[] = {1, 1, 1, 11, 31, 7, 25, 235, 231, 133, 1007, 1371, 1553, 0};
static int joe_kuo_d6_initial_number00530[] = {1, 1, 7, 5, 19, 7, 47, 171, 267, 243, 1331, 567, 6033, 0};
static int joe_kuo_d6_initial_number00531[] = {1, 1, 5, 1, 7, 49, 55, 89, 109, 735, 1455, 3193, 6239, 0};
static int joe_kuo_d6_initial_number00532[] = {1, 1, 1, 7, 1, 61, 9, 103, 3, 929, 1481, 2927, 2957, 0};
static int joe_kuo_d6_initial_number00533[] = {1, 1, 5, 13, 17, 21, 75, 49, 255, 1019, 1161, 2133, 1177, 0};
static int joe_kuo_d6_initial_number00534[] = {1, 3, 1, 3, 13, 15, 41, 247, 211, 409, 1163, 523, 2635, 0};
static int joe_kuo_d6_initial_number00535[] = {1, 3, 7, 7, 21, 59, 91, 149, 479, 391, 681, 2311, 6249, 0};
static int joe_kuo_d6_initial_number00536[] = {1, 1, 5, 11, 27, 53, 21, 211, 197, 815, 719, 1605, 255, 0};
static int joe_kuo_d6_initial_number00537[] = {1, 1, 3, 3, 9, 33, 59, 3, 323, 1, 101, 1135, 8105, 0};
static int joe_kuo_d6_initial_number00538[] = {1, 3, 3, 1, 29, 5, 17, 141, 51, 991, 841, 327, 3859, 0};
static int joe_kuo_d6_initial_number00539[] = {1, 3, 1, 5, 11, 19, 23, 89, 175, 173, 165, 2881, 1881, 0};
static int joe_kuo_d6_initial_number00540[] = {1, 1, 1, 15, 13, 51, 87, 39, 495, 611, 1341, 1531, 7029, 0};
static int joe_kuo_d6_initial_number00541[] = {1, 1, 3, 11, 13, 55, 75, 185, 57, 61, 1917, 2051, 5965, 0};
static int joe_kuo_d6_initial_number00542[] = {1, 1, 5, 5, 7, 53, 11, 217, 213, 933, 921, 3607, 5175, 0};
static int joe_kuo_d6_initial_number00543[] = {1, 3, 3, 5, 17, 53, 103, 251, 369, 781, 1319, 3717, 4439, 0};
static int joe_kuo_d6_initial_number00544[] = {1, 3, 5, 13, 1, 39, 25, 235, 321, 773, 251, 3111, 6397, 0};
static int joe_kuo_d6_initial_number00545[] = {1, 1, 7, 3, 31, 5, 25, 29, 325, 385, 1313, 127, 4705, 0};
static int joe_kuo_d6_initial_number00546[] = {1, 1, 5, 15, 15, 27, 15, 85, 239, 243, 1633, 3473, 2621, 0};
static int joe_kuo_d6_initial_number00547[] = {1, 3, 3, 3, 9, 19, 113, 13, 137, 165, 25, 2957, 7549, 0};
static int joe_kuo_d6_initial_number00548[] = {1, 3, 1, 3, 11, 21, 3, 97, 417, 183, 1205, 1437, 247, 0};
static int joe_kuo_d6_initial_number00549[] = {1, 1, 7, 3, 17, 21, 125, 55, 67, 387, 385, 2323, 887, 0};
static int joe_kuo_d6_initial_number00550[] = {1, 3, 5, 5, 29, 11, 103, 223, 233, 641, 133, 415, 1297, 0};
static int joe_kuo_d6_initial_number00551[] = {1, 3, 3, 11, 1, 9, 5, 189, 235, 1007, 1363, 3985, 889, 0};
static int joe_kuo_d6_initial_number00552[] = {1, 3, 7, 9, 23, 19, 19, 183, 269, 403, 1643, 3559, 5189, 0};
static int joe_kuo_d6_initial_number00553[] = {1, 3, 7, 3, 29, 45, 17, 69, 475, 149, 1291, 2689, 7625, 0};
static int joe_kuo_d6_initial_number00554[] = {1, 3, 7, 3, 27, 37, 41, 73, 253, 1001, 431, 1111, 7887, 0};
static int joe_kuo_d6_initial_number00555[] = {1, 1, 7, 5, 3, 7, 87, 143, 289, 495, 631, 3011, 6151, 0};
static int joe_kuo_d6_initial_number00556[] = {1, 1, 1, 13, 5, 45, 17, 167, 23, 975, 801, 1975, 6833, 0};
static int joe_kuo_d6_initial_number00557[] = {1, 3, 1, 11, 7, 21, 39, 23, 213, 429, 1301, 2059, 197, 0};
static int joe_kuo_d6_initial_number00558[] = {1, 3, 3, 15, 3, 57, 121, 133, 29, 711, 1961, 2497, 189, 0};
static int joe_kuo_d6_initial_number00559[] = {1, 1, 3, 5, 11, 55, 115, 137, 233, 673, 985, 2849, 5911, 0};
static int joe_kuo_d6_initial_number00560[] = {1, 1, 7, 15, 29, 45, 1, 241, 329, 323, 925, 2821, 3331, 0};
static int joe_kuo_d6_initial_number00561[] = {1, 1, 5, 7, 13, 31, 81, 105, 199, 145, 195, 1365, 5119, 0};
static int joe_kuo_d6_initial_number00562[] = {1, 3, 7, 11, 3, 55, 11, 31, 117, 343, 1265, 1837, 2451, 0};
static int joe_kuo_d6_initial_number00563[] = {1, 1, 3, 7, 29, 57, 61, 179, 429, 591, 177, 1945, 2159, 0};
static int joe_kuo_d6_initial_number00564[] = {1, 3, 5, 11, 23, 49, 101, 137, 339, 323, 1035, 1749, 7737, 0};
static int joe_kuo_d6_initial_number00565[] = {1, 3, 1, 13, 21, 35, 55, 79, 19, 269, 1055, 2651, 7083, 0};
static int joe_kuo_d6_initial_number00566[] = {1, 3, 3, 11, 9, 9, 95, 167, 437, 361, 1185, 4083, 603, 0};
static int joe_kuo_d6_initial_number00567[] = {1, 1, 1, 7, 31, 61, 77, 65, 489, 657, 691, 2423, 4147, 0};
static int joe_kuo_d6_initial_number00568[] = {1, 3, 5, 7, 21, 37, 87, 191, 311, 453, 2013, 829, 2619, 0};
static int joe_kuo_d6_initial_number00569[] = {1, 1, 5, 9, 17, 47, 35, 101, 5, 813, 1157, 1279, 7365, 0};
static int joe_kuo_d6_initial_number00570[] = {1, 1, 5, 3, 11, 35, 113, 199, 369, 721, 901, 1471, 7801, 0};
static int joe_kuo_d6_initial_number00571[] = {1, 3, 1, 5, 9, 61, 83, 157, 391, 739, 1957, 2123, 4341, 0};
static int joe_kuo_d6_initial_number00572[] = {1, 3, 5, 11, 19, 19, 111, 225, 383, 219, 997, 717, 7505, 0};
static int joe_kuo_d6_initial_number00573[] = {1, 3, 1, 11, 13, 63, 35, 127, 209, 831, 501, 3017, 3507, 0};
static int joe_kuo_d6_initial_number00574[] = {1, 3, 7, 9, 29, 7, 11, 163, 81, 563, 1445, 3215, 6377, 0};
static int joe_kuo_d6_initial_number00575[] = {1, 3, 7, 11, 25, 3, 39, 195, 491, 45, 839, 4021, 4899, 0};
static int joe_kuo_d6_initial_number00576[] = {1, 3, 7, 15, 13, 5, 67, 143, 117, 505, 1281, 3679, 5695, 0};
static int joe_kuo_d6_initial_number00577[] = {1, 3, 7, 9, 9, 19, 21, 221, 147, 763, 683, 2211, 589, 0};
static int joe_kuo_d6_initial_number00578[] = {1, 1, 3, 5, 21, 47, 53, 109, 299, 807, 1153, 1209, 7961, 0};
static int joe_kuo_d6_initial_number00579[] = {1, 3, 7, 11, 9, 31, 45, 43, 505, 647, 1127, 2681, 4917, 0};
static int joe_kuo_d6_initial_number00580[] = {1, 1, 5, 15, 31, 41, 63, 113, 399, 727, 673, 2587, 5259, 0};
static int joe_kuo_d6_initial_number00581[] = {1, 1, 1, 13, 17, 53, 35, 99, 57, 243, 1447, 1919, 2831, 0};
static int joe_kuo_d6_initial_number00582[] = {1, 3, 7, 11, 23, 51, 13, 9, 49, 449, 997, 3073, 4407, 0};
static int joe_kuo_d6_initial_number00583[] = {1, 3, 5, 7, 23, 33, 89, 41, 415, 53, 697, 1113, 1489, 0};
static int joe_kuo_d6_initial_number00584[] = {1, 1, 3, 7, 1, 13, 29, 13, 255, 749, 77, 3463, 1761, 0};
static int joe_kuo_d6_initial_number00585[] = {1, 3, 3, 7, 13, 15, 93, 191, 309, 869, 739, 1041, 3053, 0};
static int joe_kuo_d6_initial_number00586[] = {1, 3, 5, 13, 5, 19, 109, 211, 347, 839, 893, 2947, 7735, 0};
static int joe_kuo_d6_initial_number00587[] = {1, 3, 1, 13, 27, 3, 119, 157, 485, 99, 1703, 3895, 573, 0};
static int joe_kuo_d6_initial_number00588[] = {1, 3, 7, 11, 1, 23, 123, 105, 31, 359, 275, 1775, 3685, 0};
static int joe_kuo_d6_initial_number00589[] = {1, 3, 3, 5, 27, 11, 125, 3, 413, 199, 2043, 2895, 2945, 0};
static int joe_kuo_d6_initial_number00590[] = {1, 3, 3, 3, 15, 49, 121, 159, 233, 543, 193, 4007, 321, 0};
static int joe_kuo_d6_initial_number00591[] = {1, 1, 3, 5, 9, 47, 87, 1, 51, 1011, 1595, 2239, 6467, 0};
static int joe_kuo_d6_initial_number00592[] = {1, 3, 7, 9, 1, 33, 87, 137, 469, 749, 1413, 805, 6817, 0};
static int joe_kuo_d6_initial_number00593[] = {1, 3, 1, 13, 19, 45, 95, 227, 29, 677, 1275, 3395, 4451, 0};
static int joe_kuo_d6_initial_number00594[] = {1, 1, 7, 5, 7, 63, 33, 71, 443, 561, 1311, 3069, 6943, 0};
static int joe_kuo_d6_initial_number00595[] = {1, 1, 1, 13, 9, 37, 23, 69, 13, 415, 1479, 1197, 861, 0};
static int joe_kuo_d6_initial_number00596[] = {1, 3, 3, 13, 27, 21, 13, 233, 105, 777, 345, 2443, 1105, 0};
static int joe_kuo_d6_initial_number00597[] = {1, 1, 7, 11, 23, 13, 21, 147, 221, 549, 73, 2729, 6279, 0};
static int joe_kuo_d6_initial_number00598[] = {1, 1, 7, 7, 25, 27, 15, 45, 227, 39, 75, 1191, 3563, 0};
static int joe_kuo_d6_initial_number00599[] = {1, 1, 5, 7, 13, 49, 99, 167, 227, 13, 353, 1047, 8075, 0};
static int joe_kuo_d6_initial_number00600[] = {1, 1, 3, 13, 31, 9, 27, 7, 461, 737, 1559, 3243, 53, 0};
static int joe_kuo_d6_initial_number00601[] = {1, 3, 1, 1, 21, 41, 97, 165, 171, 821, 587, 2137, 2293, 0};
static int joe_kuo_d6_initial_number00602[] = {1, 3, 1, 11, 17, 41, 29, 187, 87, 599, 1467, 1395, 5931, 0};
static int joe_kuo_d6_initial_number00603[] = {1, 1, 1, 9, 9, 49, 89, 205, 409, 453, 61, 1923, 1257, 0};
static int joe_kuo_d6_initial_number00604[] = {1, 3, 7, 3, 9, 43, 89, 143, 431, 83, 1243, 1795, 3599, 0};
static int joe_kuo_d6_initial_number00605[] = {1, 3, 5, 13, 3, 25, 59, 219, 43, 223, 797, 2651, 6015, 0};
static int joe_kuo_d6_initial_number00606[] = {1, 1, 5, 15, 7, 55, 65, 207, 213, 311, 1287, 1269, 6467, 0};
static int joe_kuo_d6_initial_number00607[] = {1, 3, 7, 11, 21, 57, 31, 183, 351, 857, 911, 1683, 7155, 0};
static int joe_kuo_d6_initial_number00608[] = {1, 3, 5, 11, 27, 1, 21, 47, 387, 383, 1593, 115, 3805, 0};
static int joe_kuo_d6_initial_number00609[] = {1, 3, 1, 1, 13, 23, 87, 173, 181, 619, 1653, 3931, 6073, 0};
static int joe_kuo_d6_initial_number00610[] = {1, 1, 7, 5, 17, 43, 37, 61, 307, 621, 1785, 55, 115, 0};
static int joe_kuo_d6_initial_number00611[] = {1, 3, 7, 15, 25, 61, 123, 15, 237, 671, 1473, 467, 1907, 0};
static int joe_kuo_d6_initial_number00612[] = {1, 1, 7, 5, 29, 57, 75, 237, 85, 699, 159, 3577, 4771, 0};
static int joe_kuo_d6_initial_number00613[] = {1, 1, 1, 11, 25, 19, 51, 1, 147, 31, 895, 2617, 625, 0};
static int joe_kuo_d6_initial_number00614[] = {1, 3, 7, 5, 29, 15, 115, 175, 395, 391, 1141, 1827, 1181, 0};
static int joe_kuo_d6_initial_number00615[] = {1, 3, 5, 7, 17, 7, 11, 193, 89, 243, 561, 3787, 4551, 0};
static int joe_kuo_d6_initial_number00616[] = {1, 3, 1, 11, 7, 57, 7, 125, 403, 947, 1261, 409, 8083, 0};
static int joe_kuo_d6_initial_number00617[] = {1, 1, 5, 13, 21, 63, 115, 233, 231, 921, 1747, 3635, 2519, 0};
static int joe_kuo_d6_initial_number00618[] = {1, 1, 5, 11, 3, 27, 15, 91, 505, 591, 1451, 3881, 2997, 0};
static int joe_kuo_d6_initial_number00619[] = {1, 1, 3, 11, 21, 9, 109, 153, 317, 533, 593, 3967, 2797, 0};
static int joe_kuo_d6_initial_number00620[] = {1, 3, 3, 13, 9, 57, 121, 245, 219, 867, 967, 791, 7095, 0};
static int joe_kuo_d6_initial_number00621[] = {1, 1, 1, 9, 29, 21, 99, 35, 375, 959, 329, 4087, 7171, 0};
static int joe_kuo_d6_initial_number00622[] = {1, 1, 1, 9, 11, 17, 17, 97, 89, 135, 631, 3809, 3253, 0};
static int joe_kuo_d6_initial_number00623[] = {1, 1, 1, 15, 21, 51, 91, 249, 459, 801, 757, 2353, 2033, 0};
static int joe_kuo_d6_initial_number00624[] = {1, 3, 5, 9, 23, 29, 77, 53, 399, 767, 1817, 2171, 1629, 0};
static int joe_kuo_d6_initial_number00625[] = {1, 1, 3, 5, 29, 5, 43, 121, 17, 859, 1479, 3785, 6641, 0};
static int joe_kuo_d6_initial_number00626[] = {1, 1, 3, 7, 7, 61, 45, 109, 371, 833, 91, 153, 4553, 0};
static int joe_kuo_d6_initial_number00627[] = {1, 1, 3, 11, 7, 55, 81, 123, 389, 139, 1933, 891, 1789, 0};
static int joe_kuo_d6_initial_number00628[] = {1, 3, 7, 15, 25, 17, 93, 165, 503, 717, 1553, 1475, 1627, 0};
static int joe_kuo_d6_initial_number00629[] = {1, 1, 1, 13, 13, 63, 13, 225, 357, 571, 33, 4073, 3795, 0};
static int joe_kuo_d6_initial_number00630[] = {1, 1, 3, 11, 1, 31, 107, 145, 407, 961, 501, 2987, 103, 0};
static int joe_kuo_d6_initial_number00631[] = {1, 1, 7, 1, 23, 63, 49, 193, 173, 281, 25, 2465, 5927, 0};
static int joe_kuo_d6_initial_number00632[] = {1, 1, 7, 1, 1, 1, 85, 77, 273, 693, 349, 1239, 4503, 0};
static int joe_kuo_d6_initial_number00633[] = {1, 1, 5, 11, 7, 61, 9, 121, 25, 357, 1443, 405, 7827, 0};
static int joe_kuo_d6_initial_number00634[] = {1, 1, 7, 13, 11, 53, 11, 207, 145, 211, 1703, 1081, 2117, 0};
static int joe_kuo_d6_initial_number00635[] = {1, 1, 3, 11, 27, 23, 19, 9, 297, 279, 1481, 2273, 6387, 0};
static int joe_kuo_d6_initial_number00636[] = {1, 3, 3, 5, 15, 45, 3, 41, 305, 87, 1815, 3461, 5349, 0};
static int joe_kuo_d6_initial_number00637[] = {1, 3, 3, 13, 9, 37, 79, 125, 259, 561, 1087, 4091, 793, 0};
static int joe_kuo_d6_initial_number00638[] = {1, 3, 5, 7, 31, 55, 7, 145, 347, 929, 589, 2783, 5905, 0};
static int joe_kuo_d6_initial_number00639[] = {1, 1, 7, 15, 3, 25, 1, 181, 13, 243, 653, 2235, 7445, 0};
static int joe_kuo_d6_initial_number00640[] = {1, 3, 5, 5, 17, 53, 65, 7, 33, 583, 1363, 1313, 2319, 0};
static int joe_kuo_d6_initial_number00641[] = {1, 3, 3, 7, 27, 47, 97, 201, 187, 321, 63, 1515, 7917, 0};
static int joe_kuo_d6_initial_number00642[] = {1, 1, 3, 5, 23, 9, 3, 165, 61, 19, 1789, 3783, 3037, 0};
static int joe_kuo_d6_initial_number00643[] = {1, 3, 1, 13, 15, 43, 125, 191, 67, 273, 1551, 2227, 5253, 0};
static int joe_kuo_d6_initial_number00644[] = {1, 1, 1, 13, 25, 53, 107, 33, 299, 249, 1475, 2233, 907, 0};
static int joe_kuo_d6_initial_number00645[] = {1, 3, 5, 1, 23, 37, 85, 17, 207, 643, 665, 2933, 5199, 0};
static int joe_kuo_d6_initial_number00646[] = {1, 1, 7, 7, 25, 57, 59, 41, 15, 751, 751, 1749, 7053, 0};
static int joe_kuo_d6_initial_number00647[] = {1, 3, 3, 1, 13, 25, 127, 93, 281, 613, 875, 2223, 6345, 0};
static int joe_kuo_d6_initial_number00648[] = {1, 1, 5, 3, 29, 55, 79, 249, 43, 317, 533, 995, 1991, 0};
static int joe_kuo_d6_initial_number00649[] = {1, 3, 3, 15, 17, 49, 79, 31, 193, 233, 1437, 2615, 819, 0};
static int joe_kuo_d6_initial_number00650[] = {1, 1, 5, 15, 25, 3, 123, 145, 377, 9, 455, 1191, 3953, 0};
static int joe_kuo_d6_initial_number00651[] = {1, 3, 5, 3, 15, 19, 41, 231, 81, 393, 3, 19, 2409, 0};
static int joe_kuo_d6_initial_number00652[] = {1, 1, 3, 1, 27, 43, 113, 179, 7, 853, 947, 2731, 297, 0};
static int joe_kuo_d6_initial_number00653[] = {1, 1, 1, 11, 29, 39, 53, 191, 443, 689, 529, 3329, 7431, 0};
static int joe_kuo_d6_initial_number00654[] = {1, 3, 7, 5, 3, 29, 19, 67, 441, 113, 949, 2769, 4169, 0};
static int joe_kuo_d6_initial_number00655[] = {1, 3, 5, 11, 11, 55, 85, 169, 215, 815, 803, 2345, 3967, 0};
static int joe_kuo_d6_initial_number00656[] = {1, 1, 7, 9, 5, 45, 111, 5, 419, 375, 303, 1725, 4489, 0};
static int joe_kuo_d6_initial_number00657[] = {1, 3, 5, 15, 29, 43, 79, 19, 23, 417, 381, 541, 4923, 0};
static int joe_kuo_d6_initial_number00658[] = {1, 1, 3, 15, 3, 31, 117, 39, 117, 305, 1227, 1223, 143, 0};
static int joe_kuo_d6_initial_number00659[] = {1, 1, 5, 9, 5, 47, 87, 239, 181, 353, 1561, 3313, 1921, 0};
static int joe_kuo_d6_initial_number00660[] = {1, 3, 3, 1, 3, 15, 53, 221, 441, 987, 1997, 2529, 8059, 0};
static int joe_kuo_d6_initial_number00661[] = {1, 1, 7, 11, 15, 57, 111, 139, 137, 883, 1881, 2823, 5661, 0};
static int joe_kuo_d6_initial_number00662[] = {1, 3, 5, 5, 21, 11, 5, 13, 27, 973, 587, 1331, 1373, 0};
static int joe_kuo_d6_initial_number00663[] = {1, 1, 7, 11, 29, 51, 93, 29, 217, 221, 55, 2477, 1979, 0};
static int joe_kuo_d6_initial_number00664[] = {1, 3, 3, 13, 3, 11, 49, 75, 379, 371, 1441, 793, 7633, 0};
static int joe_kuo_d6_initial_number00665[] = {1, 1, 1, 13, 19, 45, 89, 249, 91, 649, 1695, 915, 5619, 0};
static int joe_kuo_d6_initial_number00666[] = {1, 3, 1, 7, 7, 29, 1, 77, 313, 895, 519, 771, 295, 0};
static int joe_kuo_d6_initial_number00667[] = {1, 3, 1, 15, 5, 3, 1, 57, 331, 109, 485, 2853, 6831, 0};
static int joe_kuo_d6_initial_number00668[] = {1, 1, 1, 15, 17, 3, 35, 99, 245, 971, 839, 2509, 2803, 0};
static int joe_kuo_d6_initial_number00669[] = {1, 3, 3, 3, 9, 37, 57, 251, 325, 317, 529, 1313, 6379, 0};
static int joe_kuo_d6_initial_number00670[] = {1, 1, 1, 15, 25, 59, 1, 119, 95, 15, 795, 2375, 6463, 0};
static int joe_kuo_d6_initial_number00671[] = {1, 3, 1, 5, 1, 49, 117, 21, 47, 179, 863, 85, 1669, 0};
static int joe_kuo_d6_initial_number00672[] = {1, 3, 7, 3, 9, 37, 19, 221, 455, 973, 571, 1427, 817, 0};
static int joe_kuo_d6_initial_number00673[] = {1, 1, 1, 15, 17, 9, 67, 213, 127, 887, 1299, 2913, 7451, 0};
static int joe_kuo_d6_initial_number00674[] = {1, 3, 1, 13, 27, 27, 41, 43, 171, 623, 691, 391, 4885, 0};
static int joe_kuo_d6_initial_number00675[] = {1, 3, 1, 13, 17, 17, 123, 239, 143, 227, 1151, 519, 6543, 0};
static int joe_kuo_d6_initial_number00676[] = {1, 3, 7, 5, 7, 63, 97, 39, 101, 555, 1057, 381, 7891, 0};
static int joe_kuo_d6_initial_number00677[] = {1, 3, 5, 1, 3, 27, 85, 129, 161, 875, 1945, 3541, 695, 0};
static int joe_kuo_d6_initial_number00678[] = {1, 3, 3, 5, 21, 59, 25, 183, 35, 25, 987, 1459, 181, 0};
static int joe_kuo_d6_initial_number00679[] = {1, 3, 5, 13, 1, 15, 127, 237, 349, 337, 1491, 2383, 7811, 0};
static int joe_kuo_d6_initial_number00680[] = {1, 3, 5, 5, 31, 5, 109, 51, 409, 733, 1395, 3207, 6049, 0};
static int joe_kuo_d6_initial_number00681[] = {1, 1, 5, 7, 13, 35, 113, 25, 263, 389, 299, 2521, 1783, 0};
static int joe_kuo_d6_initial_number00682[] = {1, 3, 7, 11, 15, 47, 97, 73, 55, 75, 113, 2695, 1023, 0};
static int joe_kuo_d6_initial_number00683[] = {1, 3, 1, 1, 3, 13, 69, 211, 289, 483, 1335, 787, 677, 0};
static int joe_kuo_d6_initial_number00684[] = {1, 1, 3, 3, 17, 7, 37, 77, 505, 137, 1113, 345, 2975, 0};
static int joe_kuo_d6_initial_number00685[] = {1, 1, 1, 13, 3, 11, 95, 199, 453, 109, 479, 3725, 239, 0};
static int joe_kuo_d6_initial_number00686[] = {1, 1, 7, 15, 19, 53, 3, 145, 359, 863, 347, 3833, 3043, 0};
static int joe_kuo_d6_initial_number00687[] = {1, 1, 7, 15, 25, 63, 127, 129, 125, 195, 155, 2211, 8153, 0};
static int joe_kuo_d6_initial_number00688[] = {1, 1, 7, 13, 9, 49, 121, 115, 73, 119, 1851, 727, 47, 0};
static int joe_kuo_d6_initial_number00689[] = {1, 3, 3, 13, 13, 11, 71, 7, 45, 591, 133, 2407, 5563, 0};
static int joe_kuo_d6_initial_number00690[] = {1, 1, 1, 13, 23, 29, 87, 89, 501, 71, 1759, 1119, 687, 0};
static int joe_kuo_d6_initial_number00691[] = {1, 1, 7, 7, 13, 7, 13, 183, 53, 951, 1877, 3991, 6771, 0};
static int joe_kuo_d6_initial_number00692[] = {1, 3, 7, 11, 7, 1, 27, 47, 61, 21, 919, 961, 1091, 0};
static int joe_kuo_d6_initial_number00693[] = {1, 3, 5, 5, 1, 27, 1, 5, 63, 157, 1297, 1049, 5893, 0};
static int joe_kuo_d6_initial_number00694[] = {1, 3, 7, 9, 19, 33, 17, 133, 425, 797, 1721, 153, 119, 0};
static int joe_kuo_d6_initial_number00695[] = {1, 3, 3, 7, 13, 37, 1, 215, 509, 1003, 61, 2353, 7511, 0};
static int joe_kuo_d6_initial_number00696[] = {1, 1, 7, 1, 29, 19, 31, 79, 199, 555, 1209, 1603, 6089, 0};
static int joe_kuo_d6_initial_number00697[] = {1, 3, 1, 1, 5, 31, 111, 127, 333, 429, 1863, 3925, 5411, 0};
static int joe_kuo_d6_initial_number00698[] = {1, 1, 7, 5, 5, 5, 123, 191, 47, 993, 269, 4051, 2111, 0};
static int joe_kuo_d6_initial_number00699[] = {1, 1, 5, 15, 1, 9, 87, 5, 47, 463, 865, 1813, 7357, 0};
static int joe_kuo_d6_initial_number00700[] = {1, 3, 1, 3, 23, 63, 123, 83, 511, 777, 63, 1285, 4537, 0};
static int joe_kuo_d6_initial_number00701[] = {1, 3, 3, 7, 27, 25, 31, 65, 441, 529, 1815, 1893, 323, 0};
static int joe_kuo_d6_initial_number00702[] = {1, 3, 7, 5, 11, 19, 7, 5, 397, 811, 755, 2883, 4217, 0};
static int joe_kuo_d6_initial_number00703[] = {1, 3, 1, 13, 9, 21, 13, 7, 271, 539, 1769, 3243, 5325, 0};
static int joe_kuo_d6_initial_number00704[] = {1, 1, 7, 1, 31, 13, 47, 131, 181, 457, 1559, 2663, 6653, 0};
static int joe_kuo_d6_initial_number00705[] = {1, 3, 3, 7, 29, 55, 25, 203, 419, 91, 437, 1159, 5691, 0};
static int joe_kuo_d6_initial_number00706[] = {1, 1, 3, 13, 29, 19, 71, 217, 337, 329, 501, 939, 2205, 0};
static int joe_kuo_d6_initial_number00707[] = {1, 1, 3, 1, 1, 27, 17, 201, 97, 285, 1269, 4043, 2207, 0};
static int joe_kuo_d6_initial_number00708[] = {1, 1, 1, 1, 3, 41, 13, 199, 141, 129, 1515, 3129, 5969, 0};
static int joe_kuo_d6_initial_number00709[] = {1, 3, 3, 9, 3, 17, 119, 41, 271, 933, 877, 701, 2197, 0};
static int joe_kuo_d6_initial_number00710[] = {1, 1, 1, 7, 15, 47, 3, 195, 115, 821, 725, 843, 6071, 0};
static int joe_kuo_d6_initial_number00711[] = {1, 3, 5, 15, 17, 33, 85, 65, 297, 571, 1123, 2743, 5727, 0};
static int joe_kuo_d6_initial_number00712[] = {1, 1, 5, 11, 27, 15, 37, 235, 415, 293, 1439, 2739, 4171, 0};
static int joe_kuo_d6_initial_number00713[] = {1, 3, 7, 7, 1, 55, 71, 35, 307, 11, 401, 1881, 933, 0};
static int joe_kuo_d6_initial_number00714[] = {1, 3, 1, 11, 21, 37, 3, 177, 119, 339, 559, 3991, 3437, 0};
static int joe_kuo_d6_initial_number00715[] = {1, 3, 3, 9, 17, 17, 97, 119, 301, 169, 157, 3267, 2261, 0};
static int joe_kuo_d6_initial_number00716[] = {1, 3, 3, 9, 29, 3, 111, 101, 355, 869, 375, 2609, 7377, 0};
static int joe_kuo_d6_initial_number00717[] = {1, 3, 5, 9, 7, 21, 123, 99, 343, 693, 1927, 1605, 4923, 0};
static int joe_kuo_d6_initial_number00718[] = {1, 1, 3, 5, 13, 31, 99, 17, 75, 385, 1539, 1553, 7077, 0};
static int joe_kuo_d6_initial_number00719[] = {1, 3, 3, 5, 31, 35, 107, 11, 407, 1019, 1317, 3593, 7203, 0};
static int joe_kuo_d6_initial_number00720[] = {1, 3, 3, 13, 17, 33, 99, 245, 401, 957, 157, 1949, 1571, 0};
static int joe_kuo_d6_initial_number00721[] = {1, 3, 1, 11, 27, 15, 11, 109, 429, 307, 1911, 2701, 861, 0};
static int joe_kuo_d6_initial_number00722[] = {1, 1, 5, 13, 13, 35, 55, 255, 311, 957, 1803, 2673, 5195, 0};
static int joe_kuo_d6_initial_number00723[] = {1, 1, 1, 11, 19, 3, 89, 37, 211, 783, 1355, 3567, 7135, 0};
static int joe_kuo_d6_initial_number00724[] = {1, 1, 5, 5, 21, 49, 79, 17, 509, 331, 183, 3831, 855, 0};
static int joe_kuo_d6_initial_number00725[] = {1, 3, 7, 5, 29, 19, 85, 109, 105, 523, 845, 3385, 7477, 0};
static int joe_kuo_d6_initial_number00726[] = {1, 1, 1, 7, 25, 17, 125, 131, 53, 757, 253, 2989, 2939, 0};
static int joe_kuo_d6_initial_number00727[] = {1, 3, 3, 9, 19, 23, 105, 39, 351, 677, 211, 401, 8103, 0};
static int joe_kuo_d6_initial_number00728[] = {1, 3, 5, 1, 5, 11, 17, 3, 405, 469, 1569, 2865, 3133, 0};
static int joe_kuo_d6_initial_number00729[] = {1, 1, 3, 13, 15, 5, 117, 179, 139, 145, 477, 1137, 2537, 0};
static int joe_kuo_d6_initial_number00730[] = {1, 1, 7, 9, 5, 21, 9, 93, 211, 963, 1207, 3343, 4911, 0};
static int joe_kuo_d6_initial_number00731[] = {1, 1, 1, 9, 13, 43, 17, 53, 81, 793, 1571, 2523, 3683, 0};
static int joe_kuo_d6_initial_number00732[] = {1, 3, 3, 13, 25, 21, 5, 59, 489, 987, 1941, 171, 6009, 0};
static int joe_kuo_d6_initial_number00733[] = {1, 3, 3, 7, 1, 39, 89, 171, 403, 467, 1767, 3423, 2791, 0};
static int joe_kuo_d6_initial_number00734[] = {1, 1, 3, 9, 19, 49, 91, 125, 163, 1013, 89, 2849, 6785, 0};
static int joe_kuo_d6_initial_number00735[] = {1, 1, 5, 9, 9, 11, 15, 241, 43, 297, 1719, 1541, 1821, 0};
static int joe_kuo_d6_initial_number00736[] = {1, 3, 7, 15, 29, 23, 103, 239, 191, 33, 1043, 3649, 6579, 0};
static int joe_kuo_d6_initial_number00737[] = {1, 3, 3, 9, 21, 51, 123, 55, 223, 645, 1463, 4021, 5891, 0};
static int joe_kuo_d6_initial_number00738[] = {1, 1, 5, 7, 3, 41, 27, 235, 391, 303, 2021, 3187, 7607, 0};
static int joe_kuo_d6_initial_number00739[] = {1, 1, 1, 9, 5, 49, 49, 29, 377, 251, 1887, 1017, 1301, 0};
static int joe_kuo_d6_initial_number00740[] = {1, 1, 3, 3, 13, 41, 27, 47, 223, 23, 517, 3227, 6731, 0};
static int joe_kuo_d6_initial_number00741[] = {1, 1, 7, 1, 31, 25, 47, 9, 511, 623, 2047, 1263, 1511, 0};
static int joe_kuo_d6_initial_number00742[] = {1, 1, 3, 15, 15, 23, 53, 1, 261, 595, 85, 241, 7047, 0};
static int joe_kuo_d6_initial_number00743[] = {1, 3, 3, 11, 17, 5, 81, 73, 149, 781, 2035, 3163, 4247, 0};
static int joe_kuo_d6_initial_number00744[] = {1, 3, 7, 7, 29, 59, 49, 79, 397, 901, 1105, 2191, 6277, 0};
static int joe_kuo_d6_initial_number00745[] = {1, 3, 3, 11, 13, 27, 25, 173, 107, 73, 1265, 585, 5251, 0};
static int joe_kuo_d6_initial_number00746[] = {1, 1, 7, 15, 29, 23, 73, 229, 235, 887, 1469, 4073, 2591, 0};
static int joe_kuo_d6_initial_number00747[] = {1, 1, 3, 9, 17, 15, 83, 173, 207, 879, 1701, 1509, 11, 0};
static int joe_kuo_d6_initial_number00748[] = {1, 1, 3, 5, 5, 37, 65, 161, 39, 421, 1153, 2007, 5355, 0};
static int joe_kuo_d6_initial_number00749[] = {1, 1, 7, 11, 23, 37, 5, 11, 9, 499, 17, 157, 5747, 0};
static int joe_kuo_d6_initial_number00750[] = {1, 3, 7, 13, 25, 9, 49, 7, 39, 945, 1349, 1759, 1441, 0};
static int joe_kuo_d6_initial_number00751[] = {1, 1, 5, 3, 21, 15, 113, 81, 265, 837, 333, 3625, 6133, 0};
static int joe_kuo_d6_initial_number00752[] = {1, 3, 1, 11, 13, 27, 73, 109, 297, 327, 299, 3253, 6957, 0};
static int joe_kuo_d6_initial_number00753[] = {1, 1, 3, 13, 19, 39, 123, 73, 65, 5, 1061, 2187, 5055, 0};
static int joe_kuo_d6_initial_number00754[] = {1, 1, 3, 1, 11, 31, 21, 115, 453, 857, 711, 495, 549, 0};
static int joe_kuo_d6_initial_number00755[] = {1, 3, 7, 7, 15, 29, 79, 103, 47, 713, 1735, 3121, 6321, 0};
static int joe_kuo_d6_initial_number00756[] = {1, 1, 5, 5, 29, 9, 97, 33, 471, 705, 329, 1501, 1349, 0};
static int joe_kuo_d6_initial_number00757[] = {1, 3, 3, 1, 21, 9, 111, 209, 71, 47, 491, 2143, 1797, 0};
static int joe_kuo_d6_initial_number00758[] = {1, 3, 3, 3, 11, 39, 21, 135, 445, 259, 607, 3811, 5449, 0};
static int joe_kuo_d6_initial_number00759[] = {1, 1, 7, 9, 11, 25, 113, 251, 395, 317, 317, 91, 1979, 0};
static int joe_kuo_d6_initial_number00760[] = {1, 3, 1, 9, 3, 21, 103, 133, 389, 943, 1235, 1749, 7063, 0};
static int joe_kuo_d6_initial_number00761[] = {1, 1, 3, 7, 1, 11, 5, 15, 497, 477, 479, 3079, 6969, 0};
static int joe_kuo_d6_initial_number00762[] = {1, 1, 3, 3, 15, 39, 105, 131, 475, 465, 181, 865, 3813, 0};
static int joe_kuo_d6_initial_number00763[] = {1, 1, 7, 9, 19, 63, 123, 131, 415, 525, 457, 2471, 3135, 0};
static int joe_kuo_d6_initial_number00764[] = {1, 3, 7, 15, 25, 35, 123, 45, 341, 805, 485, 4049, 7065, 0};
static int joe_kuo_d6_initial_number00765[] = {1, 1, 1, 5, 29, 9, 47, 227, 51, 867, 1873, 1593, 2271, 0};
static int joe_kuo_d6_initial_number00766[] = {1, 1, 7, 15, 31, 9, 71, 117, 285, 711, 837, 1435, 6275, 0};
static int joe_kuo_d6_initial_number00767[] = {1, 3, 1, 1, 5, 19, 79, 25, 301, 415, 1871, 645, 3251, 0};
static int joe_kuo_d6_initial_number00768[] = {1, 3, 1, 3, 17, 51, 99, 185, 447, 43, 523, 219, 429, 0};
static int joe_kuo_d6_initial_number00769[] = {1, 3, 1, 13, 29, 13, 51, 93, 7, 995, 757, 3017, 6865, 0};
static int joe_kuo_d6_initial_number00770[] = {1, 1, 3, 15, 7, 25, 75, 17, 155, 981, 1231, 1229, 1995, 0};
static int joe_kuo_d6_initial_number00771[] = {1, 3, 5, 3, 27, 45, 71, 73, 225, 763, 377, 1139, 2863, 0};
static int joe_kuo_d6_initial_number00772[] = {1, 1, 3, 1, 1, 39, 69, 113, 29, 371, 1051, 793, 3749, 0};
static int joe_kuo_d6_initial_number00773[] = {1, 1, 3, 13, 23, 61, 27, 183, 307, 431, 1345, 2757, 4031, 0};
static int joe_kuo_d6_initial_number00774[] = {1, 3, 7, 5, 5, 59, 117, 197, 303, 721, 877, 723, 1601, 0};
static int joe_kuo_d6_initial_number00775[] = {1, 3, 5, 1, 27, 33, 99, 237, 485, 711, 665, 3077, 5105, 0};
static int joe_kuo_d6_initial_number00776[] = {1, 1, 3, 1, 13, 9, 103, 201, 23, 951, 2029, 165, 2093, 0};
static int joe_kuo_d6_initial_number00777[] = {1, 3, 5, 13, 5, 29, 55, 85, 221, 677, 611, 3613, 4567, 0};
static int joe_kuo_d6_initial_number00778[] = {1, 1, 1, 1, 7, 61, 9, 233, 261, 561, 953, 4023, 2443, 0};
static int joe_kuo_d6_initial_number00779[] = {1, 3, 3, 13, 1, 17, 103, 71, 223, 213, 833, 1747, 6999, 0};
static int joe_kuo_d6_initial_number00780[] = {1, 3, 5, 15, 25, 53, 57, 187, 25, 695, 1207, 4089, 2877, 0};
static int joe_kuo_d6_initial_number00781[] = {1, 1, 7, 1, 7, 31, 87, 129, 493, 519, 1555, 1155, 4637, 0};
static int joe_kuo_d6_initial_number00782[] = {1, 1, 1, 15, 21, 17, 23, 29, 19, 255, 927, 1791, 3093, 0};
static int joe_kuo_d6_initial_number00783[] = {1, 1, 3, 9, 17, 33, 95, 129, 175, 461, 287, 2633, 2325, 0};
static int joe_kuo_d6_initial_number00784[] = {1, 3, 5, 7, 23, 19, 63, 209, 249, 583, 1373, 2039, 2225, 0};
static int joe_kuo_d6_initial_number00785[] = {1, 3, 3, 5, 5, 19, 79, 241, 459, 355, 1455, 3313, 3639, 0};
static int joe_kuo_d6_initial_number00786[] = {1, 1, 7, 9, 21, 41, 97, 119, 129, 769, 1541, 3495, 7741, 0};
static int joe_kuo_d6_initial_number00787[] = {1, 1, 7, 11, 9, 29, 35, 255, 141, 937, 1763, 41, 1393, 0};
static int joe_kuo_d6_initial_number00788[] = {1, 3, 7, 1, 13, 51, 61, 157, 177, 847, 1829, 3539, 285, 0};
static int joe_kuo_d6_initial_number00789[] = {1, 1, 1, 15, 21, 13, 9, 55, 397, 19, 1495, 1255, 7235, 0};
static int joe_kuo_d6_initial_number00790[] = {1, 1, 7, 7, 25, 37, 53, 237, 319, 197, 269, 1205, 1485, 0};
static int joe_kuo_d6_initial_number00791[] = {1, 1, 5, 15, 23, 17, 35, 247, 323, 807, 233, 3681, 4407, 0};
static int joe_kuo_d6_initial_number00792[] = {1, 1, 3, 7, 9, 59, 85, 105, 493, 763, 1639, 391, 1451, 0};
static int joe_kuo_d6_initial_number00793[] = {1, 3, 3, 9, 15, 33, 5, 253, 129, 625, 1527, 2793, 6057, 0};
static int joe_kuo_d6_initial_number00794[] = {1, 3, 1, 1, 7, 47, 21, 161, 235, 83, 397, 3563, 5953, 0};
static int joe_kuo_d6_initial_number00795[] = {1, 3, 7, 11, 3, 41, 25, 117, 375, 779, 1297, 3715, 8117, 0};
static int joe_kuo_d6_initial_number00796[] = {1, 1, 3, 7, 31, 19, 103, 173, 475, 189, 2035, 2921, 1107, 0};
static int joe_kuo_d6_initial_number00797[] = {1, 1, 7, 3, 25, 7, 93, 255, 307, 113, 1893, 2233, 6919, 0};
static int joe_kuo_d6_initial_number00798[] = {1, 3, 5, 15, 9, 57, 79, 143, 165, 5, 1389, 193, 693, 0};
static int joe_kuo_d6_initial_number00799[] = {1, 3, 5, 1, 29, 45, 91, 49, 189, 461, 439, 1283, 7835, 0};
static int joe_kuo_d6_initial_number00800[] = {1, 1, 3, 13, 11, 61, 41, 231, 373, 695, 395, 915, 5393, 0};
static int joe_kuo_d6_initial_number00801[] = {1, 3, 7, 11, 5, 51, 67, 53, 483, 95, 1943, 247, 5653, 0};
static int joe_kuo_d6_initial_number00802[] = {1, 3, 7, 5, 5, 57, 45, 235, 137, 793, 1069, 1661, 1557, 0};
static int joe_kuo_d6_initial_number00803[] = {1, 3, 5, 3, 25, 55, 103, 177, 81, 861, 1151, 143, 7655, 0};
static int joe_kuo_d6_initial_number00804[] = {1, 1, 3, 1, 21, 41, 67, 131, 253, 431, 1269, 3181, 3429, 0};
static int joe_kuo_d6_initial_number00805[] = {1, 3, 1, 1, 21, 7, 77, 221, 257, 663, 71, 2949, 2481, 0};
static int joe_kuo_d6_initial_number00806[] = {1, 3, 5, 3, 3, 23, 45, 107, 299, 739, 1013, 3, 3165, 0};
static int joe_kuo_d6_initial_number00807[] = {1, 1, 5, 1, 3, 37, 109, 37, 243, 983, 1221, 1691, 3869, 0};
static int joe_kuo_d6_initial_number00808[] = {1, 1, 5, 5, 31, 7, 5, 193, 397, 867, 1495, 3435, 7441, 0};
static int joe_kuo_d6_initial_number00809[] = {1, 1, 1, 1, 17, 59, 97, 233, 389, 597, 1013, 1631, 483, 0};
static int joe_kuo_d6_initial_number00810[] = {1, 1, 1, 11, 7, 41, 107, 53, 111, 125, 1513, 1921, 7647, 0};
static int joe_kuo_d6_initial_number00811[] = {1, 3, 3, 3, 31, 29, 117, 3, 365, 971, 1139, 2123, 5913, 0};
static int joe_kuo_d6_initial_number00812[] = {1, 1, 1, 13, 23, 3, 1, 167, 475, 639, 1811, 3841, 3081, 0};
static int joe_kuo_d6_initial_number00813[] = {1, 1, 5, 3, 5, 47, 65, 123, 275, 783, 95, 119, 7591, 0};
static int joe_kuo_d6_initial_number00814[] = {1, 3, 1, 15, 13, 33, 93, 237, 467, 431, 705, 4013, 4035, 0};
static int joe_kuo_d6_initial_number00815[] = {1, 3, 5, 1, 19, 7, 101, 231, 155, 737, 1381, 3343, 2051, 0};
static int joe_kuo_d6_initial_number00816[] = {1, 1, 5, 9, 15, 49, 45, 163, 433, 765, 2031, 201, 2589, 0};
static int joe_kuo_d6_initial_number00817[] = {1, 3, 7, 9, 19, 41, 31, 89, 93, 623, 105, 745, 4409, 0};
static int joe_kuo_d6_initial_number00818[] = {1, 1, 5, 1, 11, 45, 127, 85, 389, 439, 829, 477, 7965, 0};
static int joe_kuo_d6_initial_number00819[] = {1, 3, 3, 15, 13, 41, 1, 207, 435, 585, 311, 1725, 2737, 0};
static int joe_kuo_d6_initial_number00820[] = {1, 3, 3, 3, 13, 49, 21, 31, 197, 799, 1411, 2959, 7133, 0};
static int joe_kuo_d6_initial_number00821[] = {1, 3, 1, 3, 7, 43, 9, 141, 133, 579, 1059, 93, 957, 0};
static int joe_kuo_d6_initial_number00822[] = {1, 3, 7, 1, 15, 51, 23, 213, 381, 851, 699, 2261, 3419, 0};
static int joe_kuo_d6_initial_number00823[] = {1, 3, 5, 9, 25, 35, 67, 141, 35, 409, 1423, 365, 1645, 0};
static int joe_kuo_d6_initial_number00824[] = {1, 3, 3, 11, 15, 33, 27, 181, 93, 87, 1761, 3511, 1353, 0};
static int joe_kuo_d6_initial_number00825[] = {1, 3, 5, 3, 25, 63, 111, 137, 321, 819, 705, 1547, 7271, 0};
static int joe_kuo_d6_initial_number00826[] = {1, 3, 1, 1, 5, 57, 99, 59, 411, 757, 1371, 3953, 3695, 0};
static int joe_kuo_d6_initial_number00827[] = {1, 3, 5, 11, 11, 21, 25, 147, 239, 455, 709, 953, 7175, 0};
static int joe_kuo_d6_initial_number00828[] = {1, 3, 3, 15, 5, 53, 91, 205, 341, 63, 723, 1565, 7135, 0};
static int joe_kuo_d6_initial_number00829[] = {1, 1, 7, 15, 11, 21, 99, 79, 63, 593, 2007, 3629, 5271, 0};
static int joe_kuo_d6_initial_number00830[] = {1, 3, 3, 1, 9, 21, 45, 175, 453, 435, 1855, 2649, 6959, 0};
static int joe_kuo_d6_initial_number00831[] = {1, 1, 3, 15, 15, 33, 121, 121, 251, 431, 1127, 3305, 4199, 0};
static int joe_kuo_d6_initial_number00832[] = {1, 1, 1, 9, 31, 15, 71, 29, 345, 391, 1159, 2809, 345, 0};
static int joe_kuo_d6_initial_number00833[] = {1, 3, 7, 1, 23, 29, 95, 151, 327, 727, 647, 1623, 2971, 0};
static int joe_kuo_d6_initial_number00834[] = {1, 1, 7, 7, 9, 29, 79, 91, 127, 909, 1293, 1315, 5315, 0};
static int joe_kuo_d6_initial_number00835[] = {1, 1, 5, 11, 13, 37, 89, 73, 149, 477, 1909, 3343, 525, 0};
static int joe_kuo_d6_initial_number00836[] = {1, 3, 5, 7, 5, 59, 55, 255, 223, 459, 2027, 237, 4205, 0};
static int joe_kuo_d6_initial_number00837[] = {1, 1, 1, 7, 27, 11, 95, 65, 325, 835, 907, 3801, 3787, 0};
static int joe_kuo_d6_initial_number00838[] = {1, 1, 1, 11, 27, 33, 99, 175, 51, 913, 331, 1851, 4133, 0};
static int joe_kuo_d6_initial_number00839[] = {1, 3, 5, 5, 13, 37, 31, 99, 273, 409, 1827, 3845, 5491, 0};
static int joe_kuo_d6_initial_number00840[] = {1, 1, 3, 7, 23, 19, 107, 85, 283, 523, 509, 451, 421, 0};
static int joe_kuo_d6_initial_number00841[] = {1, 3, 5, 7, 13, 9, 51, 81, 87, 619, 61, 2803, 5271, 0};
static int joe_kuo_d6_initial_number00842[] = {1, 1, 1, 15, 9, 45, 35, 219, 401, 271, 953, 649, 6847, 0};
static int joe_kuo_d6_initial_number00843[] = {1, 1, 7, 11, 9, 45, 17, 219, 169, 837, 1483, 1605, 2901, 0};
static int joe_kuo_d6_initial_number00844[] = {1, 1, 7, 7, 21, 43, 37, 33, 291, 359, 71, 2899, 7037, 0};
static int joe_kuo_d6_initial_number00845[] = {1, 3, 3, 13, 31, 53, 37, 15, 149, 949, 551, 3445, 5455, 0};
static int joe_kuo_d6_initial_number00846[] = {1, 3, 1, 5, 19, 45, 81, 223, 193, 439, 2047, 3879, 789, 0};
static int joe_kuo_d6_initial_number00847[] = {1, 1, 7, 3, 11, 63, 35, 61, 255, 563, 459, 2991, 3359, 0};
static int joe_kuo_d6_initial_number00848[] = {1, 1, 5, 9, 13, 49, 47, 185, 239, 221, 1533, 3635, 2045, 0};
static int joe_kuo_d6_initial_number00849[] = {1, 3, 7, 3, 25, 37, 127, 223, 51, 357, 483, 3837, 6873, 0};
static int joe_kuo_d6_initial_number00850[] = {1, 1, 7, 9, 31, 37, 113, 31, 387, 833, 1243, 1543, 5535, 0};
static int joe_kuo_d6_initial_number00851[] = {1, 3, 1, 9, 23, 59, 119, 221, 73, 185, 2007, 2885, 2563, 0};
static int joe_kuo_d6_initial_number00852[] = {1, 1, 1, 13, 7, 33, 53, 179, 67, 185, 1541, 1807, 4659, 0};
static int joe_kuo_d6_initial_number00853[] = {1, 3, 1, 11, 31, 37, 23, 215, 269, 357, 207, 645, 4219, 0};
static int joe_kuo_d6_initial_number00854[] = {1, 3, 3, 13, 19, 27, 107, 55, 91, 71, 1695, 1815, 89, 0};
static int joe_kuo_d6_initial_number00855[] = {1, 1, 3, 15, 3, 19, 35, 247, 49, 529, 1523, 3317, 6151, 0};
static int joe_kuo_d6_initial_number00856[] = {1, 1, 7, 7, 23, 25, 107, 139, 483, 503, 1277, 243, 7879, 0};
static int joe_kuo_d6_initial_number00857[] = {1, 3, 3, 13, 3, 15, 11, 197, 135, 839, 985, 275, 5527, 0};
static int joe_kuo_d6_initial_number00858[] = {1, 3, 5, 3, 25, 47, 95, 21, 113, 307, 1001, 3065, 295, 0};
static int joe_kuo_d6_initial_number00859[] = {1, 1, 3, 9, 19, 19, 99, 213, 363, 449, 735, 2851, 2521, 0};
static int joe_kuo_d6_initial_number00860[] = {1, 1, 3, 9, 5, 49, 63, 61, 157, 857, 497, 2801, 6987, 0};
static int joe_kuo_d6_initial_number00861[] = {1, 1, 1, 9, 1, 41, 109, 119, 499, 939, 867, 3675, 8023, 0};
static int joe_kuo_d6_initial_number00862[] = {1, 3, 1, 1, 13, 33, 109, 123, 289, 3, 1271, 2773, 4265, 0};
static int joe_kuo_d6_initial_number00863[] = {1, 3, 1, 11, 9, 57, 83, 221, 95, 43, 1189, 457, 7133, 0};
static int joe_kuo_d6_initial_number00864[] = {1, 1, 7, 3, 11, 49, 33, 219, 229, 289, 685, 3359, 4495, 0};
static int joe_kuo_d6_initial_number00865[] = {1, 3, 1, 3, 19, 43, 67, 193, 41, 771, 407, 81, 3891, 0};
static int joe_kuo_d6_initial_number00866[] = {1, 1, 7, 11, 5, 29, 51, 175, 297, 539, 1, 2245, 6439, 0};
static int joe_kuo_d6_initial_number00867[] = {1, 3, 7, 15, 21, 33, 117, 183, 511, 489, 1283, 3281, 5979, 0};
static int joe_kuo_d6_initial_number00868[] = {1, 3, 7, 5, 9, 3, 125, 147, 359, 549, 369, 3049, 2405, 0};
static int joe_kuo_d6_initial_number00869[] = {1, 3, 5, 7, 19, 5, 65, 97, 483, 377, 1523, 1457, 2995, 0};
static int joe_kuo_d6_initial_number00870[] = {1, 1, 5, 1, 11, 21, 41, 113, 277, 131, 1475, 1043, 2367, 0};
static int joe_kuo_d6_initial_number00871[] = {1, 3, 3, 1, 15, 17, 101, 69, 443, 865, 817, 1421, 5231, 0};
static int joe_kuo_d6_initial_number00872[] = {1, 1, 3, 3, 3, 55, 95, 99, 75, 195, 1929, 3931, 5855, 0};
static int joe_kuo_d6_initial_number00873[] = {1, 3, 1, 3, 19, 23, 93, 213, 241, 551, 1307, 585, 7729, 0};
static int joe_kuo_d6_initial_number00874[] = {1, 3, 1, 11, 23, 15, 53, 249, 467, 519, 95, 741, 409, 0};
static int joe_kuo_d6_initial_number00875[] = {1, 1, 1, 15, 29, 37, 43, 203, 233, 877, 77, 1933, 2729, 0};
static int joe_kuo_d6_initial_number00876[] = {1, 3, 7, 11, 27, 39, 43, 161, 255, 15, 1463, 833, 495, 0};
static int joe_kuo_d6_initial_number00877[] = {1, 1, 7, 11, 3, 53, 81, 67, 375, 823, 1903, 3061, 395, 0};
static int joe_kuo_d6_initial_number00878[] = {1, 1, 1, 1, 15, 37, 93, 233, 247, 501, 1321, 3275, 5409, 0};
static int joe_kuo_d6_initial_number00879[] = {1, 3, 3, 7, 7, 11, 5, 105, 139, 983, 1239, 531, 3881, 0};
static int joe_kuo_d6_initial_number00880[] = {1, 1, 5, 3, 19, 49, 107, 227, 361, 101, 355, 2649, 7383, 0};
static int joe_kuo_d6_initial_number00881[] = {1, 1, 7, 5, 25, 41, 101, 121, 209, 293, 1937, 2259, 5557, 0};
static int joe_kuo_d6_initial_number00882[] = {1, 1, 3, 7, 7, 1, 9, 13, 463, 1019, 995, 3159, 107, 0};
static int joe_kuo_d6_initial_number00883[] = {1, 3, 5, 11, 5, 35, 127, 97, 261, 789, 807, 807, 6257, 0};
static int joe_kuo_d6_initial_number00884[] = {1, 1, 7, 5, 11, 13, 45, 91, 417, 101, 1973, 3645, 2107, 0};
static int joe_kuo_d6_initial_number00885[] = {1, 1, 3, 7, 5, 63, 57, 49, 203, 157, 115, 1393, 8117, 0};
static int joe_kuo_d6_initial_number00886[] = {1, 3, 5, 5, 3, 43, 15, 155, 127, 489, 1165, 3701, 4867, 0};
static int joe_kuo_d6_initial_number00887[] = {1, 1, 7, 7, 29, 29, 69, 215, 415, 367, 371, 1901, 6075, 0};
static int joe_kuo_d6_initial_number00888[] = {1, 1, 1, 3, 11, 33, 89, 149, 433, 705, 1437, 1597, 505, 0};
static int joe_kuo_d6_initial_number00889[] = {1, 3, 5, 1, 13, 37, 19, 119, 5, 581, 2037, 1633, 2099, 0};
static int joe_kuo_d6_initial_number00890[] = {1, 3, 7, 13, 5, 49, 103, 245, 215, 515, 133, 2007, 1933, 0};
static int joe_kuo_d6_initial_number00891[] = {1, 3, 1, 9, 1, 3, 25, 197, 253, 387, 1683, 2267, 221, 0};
static int joe_kuo_d6_initial_number00892[] = {1, 3, 5, 15, 21, 9, 73, 201, 405, 999, 437, 3877, 6045, 0};
static int joe_kuo_d6_initial_number00893[] = {1, 1, 3, 1, 31, 55, 25, 83, 421, 395, 1807, 2129, 7797, 0};
static int joe_kuo_d6_initial_number00894[] = {1, 1, 3, 1, 23, 21, 121, 183, 125, 347, 143, 3685, 4317, 0};
static int joe_kuo_d6_initial_number00895[] = {1, 3, 3, 3, 17, 45, 17, 223, 267, 795, 1815, 1309, 155, 0};
static int joe_kuo_d6_initial_number00896[] = {1, 1, 1, 15, 17, 59, 5, 133, 15, 715, 1503, 153, 2887, 0};
static int joe_kuo_d6_initial_number00897[] = {1, 1, 1, 1, 27, 13, 119, 77, 243, 995, 1851, 3719, 4695, 0};
static int joe_kuo_d6_initial_number00898[] = {1, 3, 1, 5, 31, 49, 43, 165, 49, 609, 1265, 1141, 505, 0};
static int joe_kuo_d6_initial_number00899[] = {1, 1, 7, 13, 11, 63, 21, 253, 229, 585, 1543, 3719, 4141, 0};
static int joe_kuo_d6_initial_number00900[] = {1, 3, 7, 11, 23, 27, 17, 131, 295, 895, 1493, 1411, 3247, 0};
static int joe_kuo_d6_initial_number00901[] = {1, 1, 5, 9, 29, 7, 97, 15, 113, 445, 859, 1483, 1121, 0};
static int joe_kuo_d6_initial_number00902[] = {1, 3, 1, 9, 13, 49, 99, 107, 323, 201, 681, 3071, 5281, 0};
static int joe_kuo_d6_initial_number00903[] = {1, 1, 1, 15, 9, 19, 61, 161, 7, 87, 587, 2199, 2811, 0};
static int joe_kuo_d6_initial_number00904[] = {1, 3, 3, 15, 15, 19, 95, 45, 299, 829, 981, 3479, 487, 0};
static int joe_kuo_d6_initial_number00905[] = {1, 1, 1, 9, 3, 37, 7, 19, 227, 13, 397, 513, 1257, 0};
static int joe_kuo_d6_initial_number00906[] = {1, 1, 5, 15, 15, 13, 17, 111, 135, 929, 1145, 811, 1801, 0};
static int joe_kuo_d6_initial_number00907[] = {1, 3, 1, 3, 27, 57, 31, 19, 279, 103, 693, 631, 3409, 0};
static int joe_kuo_d6_initial_number00908[] = {1, 1, 1, 1, 15, 13, 67, 83, 23, 799, 1735, 2063, 3363, 0};
static int joe_kuo_d6_initial_number00909[] = {1, 3, 3, 7, 3, 1, 61, 31, 41, 533, 2025, 4067, 6963, 0};
static int joe_kuo_d6_initial_number00910[] = {1, 1, 5, 7, 17, 27, 81, 79, 107, 205, 29, 97, 4883, 0};
static int joe_kuo_d6_initial_number00911[] = {1, 1, 1, 5, 19, 49, 91, 201, 283, 949, 651, 3819, 5073, 0};
static int joe_kuo_d6_initial_number00912[] = {1, 1, 7, 9, 11, 13, 73, 197, 37, 219, 1931, 3369, 6017, 0};
static int joe_kuo_d6_initial_number00913[] = {1, 1, 7, 15, 11, 7, 75, 205, 7, 819, 399, 661, 6487, 0};
static int joe_kuo_d6_initial_number00914[] = {1, 3, 3, 3, 27, 37, 95, 41, 307, 165, 1077, 3485, 563, 0};
static int joe_kuo_d6_initial_number00915[] = {1, 3, 5, 3, 21, 49, 57, 179, 109, 627, 1789, 431, 2941, 0};
static int joe_kuo_d6_initial_number00916[] = {1, 1, 7, 5, 11, 19, 43, 137, 149, 679, 1543, 245, 1381, 0};
static int joe_kuo_d6_initial_number00917[] = {1, 3, 5, 5, 15, 3, 69, 81, 135, 159, 1363, 3401, 6355, 0};
static int joe_kuo_d6_initial_number00918[] = {1, 3, 5, 1, 9, 61, 49, 53, 319, 25, 1647, 1297, 615, 0};
static int joe_kuo_d6_initial_number00919[] = {1, 3, 5, 11, 31, 43, 9, 101, 71, 919, 335, 3147, 5823, 0};
static int joe_kuo_d6_initial_number00920[] = {1, 3, 1, 1, 15, 5, 29, 109, 511, 945, 867, 3677, 6915, 0};
static int joe_kuo_d6_initial_number00921[] = {1, 3, 3, 15, 17, 49, 91, 111, 215, 29, 1879, 97, 2505, 0};
static int joe_kuo_d6_initial_number00922[] = {1, 3, 1, 13, 19, 61, 11, 111, 163, 777, 533, 1113, 5339, 0};
static int joe_kuo_d6_initial_number00923[] = {1, 1, 7, 9, 17, 55, 117, 91, 455, 289, 557, 913, 4455, 0};
static int joe_kuo_d6_initial_number00924[] = {1, 3, 1, 7, 25, 19, 123, 37, 1, 277, 717, 2965, 4469, 0};
static int joe_kuo_d6_initial_number00925[] = {1, 3, 7, 3, 19, 23, 87, 235, 209, 457, 2041, 2893, 1805, 0};
static int joe_kuo_d6_initial_number00926[] = {1, 3, 3, 5, 5, 43, 23, 61, 351, 791, 59, 2009, 2909, 0};
static int joe_kuo_d6_initial_number00927[] = {1, 1, 3, 7, 5, 1, 27, 231, 385, 257, 1261, 2701, 1807, 0};
static int joe_kuo_d6_initial_number00928[] = {1, 3, 1, 1, 27, 19, 87, 253, 131, 685, 1743, 3983, 2651, 0};
static int joe_kuo_d6_initial_number00929[] = {1, 3, 7, 11, 21, 17, 11, 81, 191, 641, 1821, 3005, 7251, 0};
static int joe_kuo_d6_initial_number00930[] = {1, 3, 3, 5, 15, 31, 41, 213, 55, 931, 1953, 49, 6037, 0};
static int joe_kuo_d6_initial_number00931[] = {1, 1, 7, 15, 7, 27, 65, 223, 113, 79, 1875, 911, 5445, 0};
static int joe_kuo_d6_initial_number00932[] = {1, 3, 7, 7, 23, 55, 51, 167, 495, 25, 1585, 3447, 799, 0};
static int joe_kuo_d6_initial_number00933[] = {1, 1, 3, 7, 27, 15, 95, 193, 337, 415, 975, 3085, 967, 0};
static int joe_kuo_d6_initial_number00934[] = {1, 1, 7, 15, 19, 7, 93, 41, 433, 551, 401, 3169, 3971, 0};
static int joe_kuo_d6_initial_number00935[] = {1, 1, 7, 11, 13, 15, 53, 69, 433, 59, 1117, 3359, 6231, 0};
static int joe_kuo_d6_initial_number00936[] = {1, 1, 7, 3, 23, 5, 115, 201, 225, 109, 1903, 3897, 6265, 0};
static int joe_kuo_d6_initial_number00937[] = {1, 1, 1, 11, 17, 1, 39, 143, 361, 659, 1105, 23, 4923, 0};
static int joe_kuo_d6_initial_number00938[] = {1, 1, 1, 9, 27, 57, 85, 227, 261, 119, 1881, 3965, 6999, 0};
static int joe_kuo_d6_initial_number00939[] = {1, 3, 7, 7, 15, 7, 107, 17, 315, 49, 1591, 905, 7789, 0};
static int joe_kuo_d6_initial_number00940[] = {1, 3, 1, 7, 29, 3, 47, 237, 157, 769, 839, 3199, 3195, 0};
static int joe_kuo_d6_initial_number00941[] = {1, 1, 3, 15, 25, 39, 63, 15, 111, 857, 881, 1505, 7671, 0};
static int joe_kuo_d6_initial_number00942[] = {1, 1, 7, 1, 3, 35, 41, 215, 99, 895, 1025, 1483, 4707, 0};
static int joe_kuo_d6_initial_number00943[] = {1, 3, 5, 1, 1, 31, 25, 247, 113, 841, 397, 1825, 6969, 0};
static int joe_kuo_d6_initial_number00944[] = {1, 1, 3, 5, 19, 41, 49, 243, 225, 973, 241, 175, 1041, 0};
static int joe_kuo_d6_initial_number00945[] = {1, 1, 1, 7, 15, 15, 105, 141, 83, 75, 1675, 3523, 5219, 0};
static int joe_kuo_d6_initial_number00946[] = {1, 1, 7, 5, 13, 27, 47, 199, 445, 841, 959, 1157, 2209, 0};
static int joe_kuo_d6_initial_number00947[] = {1, 3, 5, 15, 23, 31, 31, 81, 85, 33, 785, 2639, 7799, 0};
static int joe_kuo_d6_initial_number00948[] = {1, 1, 5, 13, 21, 3, 47, 99, 235, 943, 1731, 2467, 7891, 0};
static int joe_kuo_d6_initial_number00949[] = {1, 1, 1, 3, 17, 53, 85, 219, 73, 131, 1339, 875, 1191, 0};
static int joe_kuo_d6_initial_number00950[] = {1, 1, 5, 7, 17, 63, 113, 7, 185, 557, 749, 3563, 4973, 0};
static int joe_kuo_d6_initial_number00951[] = {1, 3, 3, 15, 15, 21, 43, 111, 155, 689, 345, 423, 3597, 0};
static int joe_kuo_d6_initial_number00952[] = {1, 1, 5, 1, 15, 29, 93, 5, 361, 713, 695, 3937, 425, 0};
static int joe_kuo_d6_initial_number00953[] = {1, 3, 7, 7, 13, 41, 115, 175, 315, 937, 123, 2841, 4457, 0};
static int joe_kuo_d6_initial_number00954[] = {1, 1, 3, 11, 25, 5, 103, 53, 423, 811, 657, 399, 7257, 0};
static int joe_kuo_d6_initial_number00955[] = {1, 1, 1, 1, 1, 13, 101, 211, 383, 325, 97, 1703, 4429, 0};
static int joe_kuo_d6_initial_number00956[] = {1, 3, 7, 9, 31, 45, 83, 157, 509, 701, 841, 1105, 3643, 0};
static int joe_kuo_d6_initial_number00957[] = {1, 1, 1, 7, 1, 9, 69, 17, 129, 281, 1161, 2945, 7693, 0};
static int joe_kuo_d6_initial_number00958[] = {1, 3, 7, 1, 11, 29, 51, 143, 77, 433, 1723, 2317, 5641, 0};
static int joe_kuo_d6_initial_number00959[] = {1, 1, 1, 1, 21, 43, 13, 67, 177, 505, 1629, 1267, 4885, 0};
static int joe_kuo_d6_initial_number00960[] = {1, 1, 3, 11, 27, 63, 111, 47, 233, 781, 453, 1679, 3209, 0};
static int joe_kuo_d6_initial_number00961[] = {1, 1, 3, 13, 29, 27, 119, 141, 493, 971, 461, 1159, 633, 0};
static int joe_kuo_d6_initial_number00962[] = {1, 1, 3, 15, 23, 5, 79, 215, 163, 149, 1805, 2399, 61, 0};
static int joe_kuo_d6_initial_number00963[] = {1, 3, 5, 13, 19, 5, 1, 39, 409, 561, 709, 829, 1357, 0};
static int joe_kuo_d6_initial_number00964[] = {1, 3, 3, 13, 19, 43, 9, 177, 449, 447, 73, 2107, 5669, 0};
static int joe_kuo_d6_initial_number00965[] = {1, 3, 5, 1, 23, 13, 63, 109, 203, 593, 829, 4017, 6881, 0};
static int joe_kuo_d6_initial_number00966[] = {1, 1, 5, 7, 3, 9, 53, 175, 391, 169, 1283, 3793, 4451, 0};
static int joe_kuo_d6_initial_number00967[] = {1, 1, 5, 7, 29, 43, 9, 5, 209, 77, 927, 2941, 8145, 0};
static int joe_kuo_d6_initial_number00968[] = {1, 3, 5, 15, 17, 49, 5, 143, 131, 771, 1685, 925, 2175, 0};
static int joe_kuo_d6_initial_number00969[] = {1, 1, 3, 11, 27, 27, 27, 159, 161, 1015, 1587, 4049, 1983, 0};
static int joe_kuo_d6_initial_number00970[] = {1, 3, 1, 3, 23, 57, 119, 67, 481, 577, 389, 3319, 5325, 0};
static int joe_kuo_d6_initial_number00971[] = {1, 3, 5, 1, 19, 39, 87, 61, 329, 657, 1773, 31, 1707, 0};
static int joe_kuo_d6_initial_number00972[] = {1, 1, 3, 1, 5, 25, 15, 241, 131, 815, 1751, 3029, 8039, 0};
static int joe_kuo_d6_initial_number00973[] = {1, 3, 3, 13, 27, 13, 77, 87, 437, 57, 621, 1031, 7891, 0};
static int joe_kuo_d6_initial_number00974[] = {1, 3, 1, 13, 23, 51, 117, 37, 331, 745, 605, 3179, 4713, 0};
static int joe_kuo_d6_initial_number00975[] = {1, 1, 5, 5, 19, 17, 99, 167, 87, 721, 737, 789, 2165, 0};
static int joe_kuo_d6_initial_number00976[] = {1, 3, 5, 13, 1, 51, 119, 211, 165, 299, 1327, 3053, 3343, 0};
static int joe_kuo_d6_initial_number00977[] = {1, 1, 5, 15, 29, 45, 17, 129, 67, 345, 1553, 2705, 7369, 0};
static int joe_kuo_d6_initial_number00978[] = {1, 1, 1, 9, 23, 7, 13, 209, 7, 407, 317, 3077, 7287, 0};
static int joe_kuo_d6_initial_number00979[] = {1, 1, 1, 5, 9, 59, 89, 3, 487, 451, 505, 2499, 7563, 0};
static int joe_kuo_d6_initial_number00980[] = {1, 3, 1, 7, 21, 1, 21, 203, 101, 417, 1389, 2751, 1397, 0};
static int joe_kuo_d6_initial_number00981[] = {1, 3, 7, 13, 7, 31, 3, 247, 349, 485, 1259, 549, 6321, 0};
static int joe_kuo_d6_initial_number00982[] = {1, 1, 7, 7, 27, 33, 107, 197, 293, 729, 1753, 2571, 103, 0};
static int joe_kuo_d6_initial_number00983[] = {1, 3, 5, 9, 25, 35, 5, 253, 137, 213, 2041, 3387, 1809, 0};
static int joe_kuo_d6_initial_number00984[] = {1, 1, 7, 13, 15, 35, 67, 83, 295, 175, 839, 2831, 839, 0};
static int joe_kuo_d6_initial_number00985[] = {1, 3, 3, 11, 3, 17, 55, 141, 247, 991, 117, 3799, 1221, 0};
static int joe_kuo_d6_initial_number00986[] = {1, 1, 5, 1, 11, 37, 87, 233, 457, 653, 899, 2933, 3105, 0};
static int joe_kuo_d6_initial_number00987[] = {1, 1, 3, 15, 3, 31, 67, 167, 437, 9, 651, 1109, 1139, 0};
static int joe_kuo_d6_initial_number00988[] = {1, 1, 3, 1, 7, 63, 67, 17, 11, 883, 1855, 1941, 4751, 0};
static int joe_kuo_d6_initial_number00989[] = {1, 3, 7, 9, 19, 33, 113, 117, 495, 39, 1795, 2561, 5519, 0};
static int joe_kuo_d6_initial_number00990[] = {1, 1, 7, 5, 1, 3, 103, 37, 201, 223, 1101, 877, 6483, 0};
static int joe_kuo_d6_initial_number00991[] = {1, 1, 5, 9, 29, 49, 51, 33, 439, 917, 861, 1321, 2135, 0};
static int joe_kuo_d6_initial_number00992[] = {1, 1, 3, 3, 1, 5, 17, 93, 217, 619, 613, 1357, 6095, 0};
static int joe_kuo_d6_initial_number00993[] = {1, 3, 1, 11, 3, 21, 5, 41, 15, 175, 843, 2937, 6849, 0};
static int joe_kuo_d6_initial_number00994[] = {1, 3, 3, 7, 9, 57, 55, 127, 79, 287, 445, 2205, 7989, 0};
static int joe_kuo_d6_initial_number00995[] = {1, 1, 7, 13, 23, 17, 93, 129, 157, 135, 1747, 1813, 4183, 0};
static int joe_kuo_d6_initial_number00996[] = {1, 1, 1, 5, 31, 59, 99, 33, 425, 329, 887, 367, 1761, 0};
static int joe_kuo_d6_initial_number00997[] = {1, 1, 7, 9, 17, 53, 77, 139, 435, 387, 49, 3649, 1773, 0};
static int joe_kuo_d6_initial_number00998[] = {1, 3, 3, 15, 21, 57, 45, 161, 331, 719, 273, 3479, 4173, 0};
static int joe_kuo_d6_initial_number00999[] = {1, 1, 3, 9, 3, 3, 105, 201, 373, 877, 919, 1263, 6649, 0};
static int joe_kuo_d6_initial_number01000[] = {1, 3, 1, 15, 13, 43, 13, 99, 73, 163, 353, 3569, 5601, 0};
static int joe_kuo_d6_initial_number01001[] = {1, 3, 7, 3, 5, 9, 69, 177, 449, 47, 781, 1125, 4245, 0};
static int joe_kuo_d6_initial_number01002[] = {1, 1, 1, 5, 3, 45, 1, 123, 409, 903, 205, 2057, 7637, 0};
static int joe_kuo_d6_initial_number01003[] = {1, 3, 5, 9, 19, 47, 87, 135, 481, 799, 101, 3409, 2241, 0};
static int joe_kuo_d6_initial_number01004[] = {1, 3, 1, 13, 3, 25, 15, 27, 181, 967, 669, 2577, 7249, 0};
static int joe_kuo_d6_initial_number01005[] = {1, 1, 7, 3, 31, 5, 103, 53, 1, 911, 1209, 3697, 6685, 0};
static int joe_kuo_d6_initial_number01006[] = {1, 1, 3, 1, 5, 5, 49, 135, 281, 747, 761, 2973, 7963, 0};
static int joe_kuo_d6_initial_number01007[] = {1, 3, 3, 5, 19, 61, 125, 199, 299, 515, 1365, 369, 7027, 0};
static int joe_kuo_d6_initial_number01008[] = {1, 3, 1, 7, 5, 41, 63, 229, 283, 571, 147, 447, 657, 0};
static int joe_kuo_d6_initial_number01009[] = {1, 3, 1, 11, 5, 15, 55, 7, 259, 61, 27, 1429, 5631, 0};
static int joe_kuo_d6_initial_number01010[] = {1, 1, 5, 1, 3, 53, 51, 253, 155, 553, 1293, 3735, 6567, 0};
static int joe_kuo_d6_initial_number01011[] = {1, 3, 5, 9, 5, 41, 21, 159, 101, 785, 1981, 3799, 7693, 0};
static int joe_kuo_d6_initial_number01012[] = {1, 3, 7, 7, 9, 3, 95, 105, 129, 213, 1215, 1027, 5699, 0};
static int joe_kuo_d6_initial_number01013[] = {1, 1, 3, 3, 29, 13, 9, 253, 449, 321, 341, 2879, 171, 0};
static int joe_kuo_d6_initial_number01014[] = {1, 3, 7, 11, 21, 11, 75, 35, 43, 965, 675, 2217, 7175, 0};
static int joe_kuo_d6_initial_number01015[] = {1, 1, 5, 15, 31, 5, 29, 137, 311, 751, 47, 1367, 5921, 0};
static int joe_kuo_d6_initial_number01016[] = {1, 1, 3, 15, 17, 1, 45, 69, 55, 649, 835, 569, 7615, 0};
static int joe_kuo_d6_initial_number01017[] = {1, 3, 1, 13, 31, 7, 23, 15, 391, 145, 1845, 1825, 1403, 0};
static int joe_kuo_d6_initial_number01018[] = {1, 1, 3, 15, 5, 9, 79, 77, 105, 399, 1933, 2503, 4781, 0};
static int joe_kuo_d6_initial_number01019[] = {1, 3, 1, 3, 17, 47, 19, 13, 107, 475, 759, 2933, 3761, 0};
static int joe_kuo_d6_initial_number01020[] = {1, 1, 7, 11, 3, 7, 121, 209, 397, 877, 293, 847, 7039, 0};
static int joe_kuo_d6_initial_number01021[] = {1, 1, 1, 15, 29, 45, 5, 109, 335, 461, 143, 931, 4045, 0};
static int joe_kuo_d6_initial_number01022[] = {1, 3, 1, 7, 11, 57, 73, 89, 201, 173, 803, 3953, 5205, 0};
static int joe_kuo_d6_initial_number01023[] = {1, 1, 5, 11, 11, 33, 37, 29, 263, 1019, 657, 1453, 7807, 0};
static int joe_kuo_d6_initial_number01024[] = {1, 3, 3, 13, 31, 25, 37, 47, 261, 607, 1703, 2603, 417, 0};
static int joe_kuo_d6_initial_number01025[] = {1, 1, 1, 1, 31, 61, 45, 115, 275, 239, 1989, 1897, 4329, 0};
static int joe_kuo_d6_initial_number01026[] = {1, 3, 5, 3, 31, 3, 11, 173, 335, 579, 1193, 2219, 7875, 0};
static int joe_kuo_d6_initial_number01027[] = {1, 1, 7, 9, 29, 45, 13, 67, 399, 177, 1293, 3865, 2225, 0};
static int joe_kuo_d6_initial_number01028[] = {1, 1, 7, 11, 11, 51, 121, 227, 469, 905, 929, 2635, 4165, 0};
static int joe_kuo_d6_initial_number01029[] = {1, 3, 7, 9, 13, 39, 55, 167, 23, 147, 1603, 2083, 4645, 0};
static int joe_kuo_d6_initial_number01030[] = {1, 1, 3, 15, 27, 53, 11, 155, 157, 629, 259, 3009, 4605, 0};
static int joe_kuo_d6_initial_number01031[] = {1, 3, 1, 7, 15, 47, 51, 1, 259, 603, 887, 2833, 6581, 0};
static int joe_kuo_d6_initial_number01032[] = {1, 3, 5, 3, 1, 47, 91, 43, 361, 571, 29, 1453, 4269, 0};
static int joe_kuo_d6_initial_number01033[] = {1, 1, 3, 9, 11, 51, 55, 23, 415, 277, 1423, 3475, 1527, 0};
static int joe_kuo_d6_initial_number01034[] = {1, 1, 3, 11, 29, 49, 101, 75, 299, 709, 805, 4037, 4389, 0};
static int joe_kuo_d6_initial_number01035[] = {1, 1, 7, 3, 23, 1, 37, 51, 379, 771, 1301, 3717, 6673, 0};
static int joe_kuo_d6_initial_number01036[] = {1, 1, 5, 3, 23, 11, 125, 177, 375, 665, 951, 1577, 2603, 0};
static int joe_kuo_d6_initial_number01037[] = {1, 1, 1, 1, 1, 5, 71, 255, 21, 459, 467, 2083, 5415, 0};
static int joe_kuo_d6_initial_number01038[] = {1, 1, 5, 13, 23, 29, 109, 157, 363, 971, 549, 647, 1177, 0};
static int joe_kuo_d6_initial_number01039[] = {1, 1, 3, 9, 7, 15, 101, 3, 365, 213, 745, 1155, 6099, 0};
static int joe_kuo_d6_initial_number01040[] = {1, 3, 5, 15, 15, 19, 47, 179, 303, 521, 1279, 219, 2415, 0};
static int joe_kuo_d6_initial_number01041[] = {1, 3, 3, 13, 27, 11, 83, 165, 369, 989, 261, 3933, 4809, 0};
static int joe_kuo_d6_initial_number01042[] = {1, 1, 3, 11, 31, 59, 1, 185, 53, 703, 1471, 2935, 1107, 0};
static int joe_kuo_d6_initial_number01043[] = {1, 3, 3, 7, 25, 3, 81, 27, 93, 521, 433, 2859, 5861, 0};
static int joe_kuo_d6_initial_number01044[] = {1, 3, 3, 11, 29, 15, 49, 167, 315, 927, 543, 3473, 4307, 0};
static int joe_kuo_d6_initial_number01045[] = {1, 3, 1, 3, 29, 33, 53, 15, 183, 691, 703, 1311, 3393, 0};
static int joe_kuo_d6_initial_number01046[] = {1, 3, 5, 13, 23, 49, 3, 11, 1, 357, 1407, 415, 7211, 0};
static int joe_kuo_d6_initial_number01047[] = {1, 3, 7, 15, 1, 25, 91, 113, 323, 371, 189, 925, 1181, 0};
static int joe_kuo_d6_initial_number01048[] = {1, 3, 3, 3, 17, 59, 119, 199, 115, 223, 877, 2193, 193, 0};
static int joe_kuo_d6_initial_number01049[] = {1, 1, 1, 5, 5, 35, 31, 59, 437, 411, 37, 2405, 3797, 0};
static int joe_kuo_d6_initial_number01050[] = {1, 3, 1, 13, 9, 37, 1, 241, 59, 157, 1785, 1223, 563, 0};
static int joe_kuo_d6_initial_number01051[] = {1, 3, 5, 13, 3, 21, 25, 95, 15, 745, 85, 701, 5361, 0};
static int joe_kuo_d6_initial_number01052[] = {1, 3, 7, 1, 31, 33, 111, 195, 35, 913, 2013, 2951, 6611, 0};
static int joe_kuo_d6_initial_number01053[] = {1, 3, 5, 1, 19, 3, 75, 119, 111, 409, 951, 1457, 4957, 0};
static int joe_kuo_d6_initial_number01054[] = {1, 3, 1, 15, 19, 59, 3, 155, 237, 657, 1967, 3323, 6235, 0};
static int joe_kuo_d6_initial_number01055[] = {1, 1, 5, 1, 3, 19, 45, 105, 377, 881, 167, 2255, 4483, 0};
static int joe_kuo_d6_initial_number01056[] = {1, 1, 7, 7, 13, 13, 99, 89, 201, 279, 161, 2483, 6001, 0};
static int joe_kuo_d6_initial_number01057[] = {1, 1, 7, 3, 13, 17, 97, 129, 137, 377, 1519, 183, 3725, 0};
static int joe_kuo_d6_initial_number01058[] = {1, 1, 7, 9, 9, 5, 45, 135, 115, 181, 1685, 3505, 4387, 0};
static int joe_kuo_d6_initial_number01059[] = {1, 1, 1, 1, 19, 35, 69, 113, 305, 419, 949, 2969, 247, 0};
static int joe_kuo_d6_initial_number01060[] = {1, 1, 5, 13, 23, 61, 13, 139, 501, 811, 67, 1501, 6493, 0};
static int joe_kuo_d6_initial_number01061[] = {1, 1, 3, 13, 15, 41, 27, 217, 293, 13, 145, 2631, 6991, 0};
static int joe_kuo_d6_initial_number01062[] = {1, 3, 3, 13, 15, 37, 71, 123, 285, 49, 627, 1283, 5993, 0};
static int joe_kuo_d6_initial_number01063[] = {1, 3, 3, 11, 9, 25, 11, 1, 203, 353, 1347, 1999, 2799, 0};
static int joe_kuo_d6_initial_number01064[] = {1, 3, 5, 1, 7, 49, 101, 231, 499, 63, 1977, 2207, 7829, 0};
static int joe_kuo_d6_initial_number01065[] = {1, 1, 7, 1, 17, 15, 115, 139, 381, 943, 623, 4037, 2971, 0};
static int joe_kuo_d6_initial_number01066[] = {1, 1, 3, 5, 13, 55, 23, 87, 139, 795, 1669, 1375, 1185, 0};
static int joe_kuo_d6_initial_number01067[] = {1, 3, 3, 5, 5, 45, 97, 253, 241, 333, 645, 555, 7867, 0};
static int joe_kuo_d6_initial_number01068[] = {1, 3, 5, 1, 1, 1, 89, 27, 407, 509, 1433, 609, 2355, 0};
static int joe_kuo_d6_initial_number01069[] = {1, 3, 7, 1, 27, 29, 5, 157, 495, 811, 1293, 1143, 827, 0};
static int joe_kuo_d6_initial_number01070[] = {1, 1, 3, 3, 25, 49, 127, 111, 191, 3, 845, 1383, 2521, 0};
static int joe_kuo_d6_initial_number01071[] = {1, 1, 5, 7, 5, 51, 101, 155, 237, 461, 831, 3091, 3851, 0};
static int joe_kuo_d6_initial_number01072[] = {1, 3, 7, 1, 29, 35, 105, 91, 285, 705, 131, 395, 6011, 0};
static int joe_kuo_d6_initial_number01073[] = {1, 3, 5, 3, 13, 21, 83, 173, 221, 827, 1775, 1931, 6727, 0};
static int joe_kuo_d6_initial_number01074[] = {1, 1, 3, 5, 3, 25, 95, 115, 205, 569, 1447, 933, 6425, 0};
static int joe_kuo_d6_initial_number01075[] = {1, 1, 7, 9, 31, 3, 17, 175, 145, 447, 1321, 1069, 6527, 0};
static int joe_kuo_d6_initial_number01076[] = {1, 1, 3, 3, 23, 1, 79, 51, 421, 419, 873, 3939, 1801, 0};
static int joe_kuo_d6_initial_number01077[] = {1, 1, 5, 1, 3, 39, 15, 85, 169, 669, 919, 397, 5579, 0};
static int joe_kuo_d6_initial_number01078[] = {1, 3, 5, 1, 21, 61, 87, 217, 251, 619, 1091, 4009, 229, 0};
static int joe_kuo_d6_initial_number01079[] = {1, 1, 1, 11, 23, 55, 85, 121, 363, 867, 315, 447, 3373, 0};
static int joe_kuo_d6_initial_number01080[] = {1, 3, 3, 13, 29, 19, 89, 85, 137, 469, 1873, 2765, 3975, 0};
static int joe_kuo_d6_initial_number01081[] = {1, 3, 7, 13, 19, 63, 61, 77, 67, 361, 11, 1787, 4703, 0};
static int joe_kuo_d6_initial_number01082[] = {1, 1, 3, 11, 7, 15, 127, 105, 179, 857, 1671, 3647, 3389, 0};
static int joe_kuo_d6_initial_number01083[] = {1, 1, 1, 7, 19, 21, 99, 161, 499, 519, 1287, 2973, 479, 0};
static int joe_kuo_d6_initial_number01084[] = {1, 1, 3, 13, 29, 51, 95, 251, 55, 519, 1955, 2881, 5951, 0};
static int joe_kuo_d6_initial_number01085[] = {1, 1, 3, 11, 23, 63, 121, 237, 175, 311, 701, 1539, 2383, 0};
static int joe_kuo_d6_initial_number01086[] = {1, 1, 7, 5, 5, 45, 73, 97, 5, 153, 715, 2037, 3353, 0};
static int joe_kuo_d6_initial_number01087[] = {1, 1, 1, 3, 13, 7, 67, 173, 425, 843, 1497, 2729, 5193, 0};
static int joe_kuo_d6_initial_number01088[] = {1, 1, 7, 1, 23, 3, 119, 11, 77, 141, 1905, 2269, 4269, 0};
static int joe_kuo_d6_initial_number01089[] = {1, 1, 7, 15, 1, 23, 79, 251, 439, 603, 405, 2449, 6383, 0};
static int joe_kuo_d6_initial_number01090[] = {1, 3, 7, 11, 29, 27, 47, 255, 47, 661, 1967, 1007, 3689, 0};
static int joe_kuo_d6_initial_number01091[] = {1, 3, 7, 5, 19, 39, 35, 115, 417, 373, 291, 329, 603, 0};
static int joe_kuo_d6_initial_number01092[] = {1, 3, 1, 9, 11, 33, 27, 193, 207, 423, 1311, 1369, 7307, 0};
static int joe_kuo_d6_initial_number01093[] = {1, 1, 3, 11, 9, 29, 83, 17, 497, 493, 329, 3141, 5935, 0};
static int joe_kuo_d6_initial_number01094[] = {1, 3, 1, 5, 31, 51, 29, 171, 51, 493, 1621, 3501, 4091, 0};
static int joe_kuo_d6_initial_number01095[] = {1, 1, 5, 9, 21, 43, 105, 207, 245, 363, 1191, 699, 1139, 0};
static int joe_kuo_d6_initial_number01096[] = {1, 1, 3, 11, 19, 5, 81, 119, 247, 169, 1337, 45, 6565, 0};
static int joe_kuo_d6_initial_number01097[] = {1, 3, 1, 11, 3, 51, 3, 101, 159, 11, 253, 299, 5043, 0};
static int joe_kuo_d6_initial_number01098[] = {1, 3, 1, 5, 11, 53, 85, 39, 57, 645, 2007, 1039, 3627, 0};
static int joe_kuo_d6_initial_number01099[] = {1, 3, 5, 3, 17, 61, 97, 165, 415, 357, 283, 601, 5505, 0};
static int joe_kuo_d6_initial_number01100[] = {1, 3, 7, 3, 9, 51, 49, 85, 3, 227, 137, 309, 243, 0};
static int joe_kuo_d6_initial_number01101[] = {1, 1, 5, 3, 11, 59, 11, 131, 409, 703, 455, 123, 6727, 0};
static int joe_kuo_d6_initial_number01102[] = {1, 3, 7, 9, 25, 49, 21, 171, 287, 379, 667, 313, 713, 0};
static int joe_kuo_d6_initial_number01103[] = {1, 1, 3, 9, 7, 35, 47, 3, 367, 581, 1627, 1665, 3905, 0};
static int joe_kuo_d6_initial_number01104[] = {1, 3, 1, 1, 29, 57, 35, 55, 255, 653, 823, 2197, 6179, 0};
static int joe_kuo_d6_initial_number01105[] = {1, 3, 7, 15, 17, 15, 117, 83, 359, 163, 115, 2999, 5373, 0};
static int joe_kuo_d6_initial_number01106[] = {1, 1, 5, 3, 21, 61, 35, 97, 71, 687, 207, 2917, 1049, 0};
static int joe_kuo_d6_initial_number01107[] = {1, 1, 1, 15, 13, 15, 125, 81, 263, 661, 417, 3243, 1669, 0};
static int joe_kuo_d6_initial_number01108[] = {1, 1, 7, 3, 3, 19, 111, 193, 443, 339, 659, 1211, 1557, 0};
static int joe_kuo_d6_initial_number01109[] = {1, 3, 1, 3, 27, 3, 3, 173, 391, 213, 803, 3281, 3207, 0};
static int joe_kuo_d6_initial_number01110[] = {1, 1, 5, 15, 19, 1, 7, 211, 157, 603, 403, 1387, 1583, 0};
static int joe_kuo_d6_initial_number01111[] = {1, 3, 5, 13, 17, 53, 125, 13, 339, 723, 521, 413, 5801, 10451, 0};
static int joe_kuo_d6_initial_number01112[] = {1, 1, 3, 13, 29, 9, 99, 77, 141, 609, 1533, 983, 2039, 51, 0};
static int joe_kuo_d6_initial_number01113[] = {1, 1, 3, 11, 21, 55, 5, 51, 423, 309, 525, 3715, 3025, 15055, 0};
static int joe_kuo_d6_initial_number01114[] = {1, 1, 3, 7, 9, 21, 77, 171, 239, 341, 1653, 1093, 2273, 10723, 0};
static int joe_kuo_d6_initial_number01115[] = {1, 1, 1, 15, 31, 15, 23, 35, 317, 869, 1917, 1415, 4313, 3687, 0};
static int joe_kuo_d6_initial_number01116[] = {1, 1, 1, 5, 21, 25, 99, 167, 439, 453, 473, 431, 6665, 4989, 0};
static int joe_kuo_d6_initial_number01117[] = {1, 1, 7, 9, 31, 47, 81, 83, 345, 43, 1363, 1885, 3155, 3185, 0};
static int joe_kuo_d6_initial_number01118[] = {1, 3, 7, 1, 31, 17, 61, 185, 341, 129, 547, 717, 2071, 9991, 0};
static int joe_kuo_d6_initial_number01119[] = {1, 3, 1, 13, 23, 61, 77, 217, 455, 77, 1263, 1601, 3501, 14953, 0};
static int joe_kuo_d6_initial_number01120[] = {1, 1, 7, 7, 19, 19, 1, 229, 431, 943, 1069, 1949, 1289, 15729, 0};
static int joe_kuo_d6_initial_number01121[] = {1, 1, 3, 5, 1, 35, 97, 251, 487, 459, 1265, 1739, 165, 10365, 0};
static int joe_kuo_d6_initial_number01122[] = {1, 3, 5, 3, 11, 25, 79, 175, 383, 545, 187, 197, 4329, 3363, 0};
static int joe_kuo_d6_initial_number01123[] = {1, 1, 3, 3, 29, 9, 63, 55, 175, 277, 431, 2549, 2629, 6409, 0};
static int joe_kuo_d6_initial_number01124[] = {1, 1, 3, 15, 17, 21, 79, 139, 99, 135, 1763, 1805, 3471, 5439, 0};
static int joe_kuo_d6_initial_number01125[] = {1, 1, 3, 9, 9, 15, 35, 119, 289, 835, 769, 3843, 4119, 4421, 0};
static int joe_kuo_d6_initial_number01126[] = {1, 1, 1, 5, 19, 19, 67, 199, 307, 815, 1367, 1231, 3927, 6593, 0};
static int joe_kuo_d6_initial_number01127[] = {1, 1, 3, 1, 29, 51, 121, 209, 431, 47, 1115, 907, 2535, 9755, 0};
static int joe_kuo_d6_initial_number01128[] = {1, 1, 3, 5, 17, 1, 5, 119, 121, 223, 1719, 1291, 3947, 15891, 0};
static int joe_kuo_d6_initial_number01129[] = {1, 3, 1, 15, 29, 25, 3, 131, 373, 307, 645, 3513, 1289, 1987, 0};
static int joe_kuo_d6_initial_number01130[] = {1, 3, 3, 11, 29, 45, 105, 179, 331, 465, 891, 1315, 403, 3057, 0};
static int joe_kuo_d6_initial_number01131[] = {1, 1, 5, 13, 17, 59, 77, 127, 485, 855, 1147, 3093, 891, 9869, 0};
static int joe_kuo_d6_initial_number01132[] = {1, 1, 1, 7, 23, 27, 31, 203, 285, 463, 827, 685, 1349, 15051, 0};
static int joe_kuo_d6_initial_number01133[] = {1, 1, 1, 5, 29, 5, 107, 195, 31, 425, 19, 2865, 3869, 11153, 0};
static int joe_kuo_d6_initial_number01134[] = {1, 1, 7, 5, 7, 47, 1, 73, 307, 347, 393, 2205, 7709, 15121, 0};
static int joe_kuo_d6_initial_number01135[] = {1, 1, 1, 13, 15, 61, 25, 131, 113, 369, 1995, 2527, 4475, 1745, 0};
static int joe_kuo_d6_initial_number01136[] = {1, 1, 1, 1, 31, 63, 21, 253, 307, 281, 859, 3319, 6721, 2891, 0};
static int joe_kuo_d6_initial_number01137[] = {1, 1, 3, 11, 1, 17, 5, 183, 301, 979, 651, 1685, 6343, 10067, 0};
static int joe_kuo_d6_initial_number01138[] = {1, 1, 5, 15, 23, 45, 99, 145, 263, 507, 1381, 3425, 2215, 1815, 0};
static int joe_kuo_d6_initial_number01139[] = {1, 3, 1, 5, 11, 63, 85, 203, 411, 881, 1369, 1237, 4657, 6541, 0};
static int joe_kuo_d6_initial_number01140[] = {1, 3, 3, 13, 17, 53, 121, 201, 269, 983, 215, 3187, 7121, 6111, 0};
static int joe_kuo_d6_initial_number01141[] = {1, 3, 5, 15, 15, 5, 13, 143, 3, 313, 1677, 1093, 3295, 3387, 0};
static int joe_kuo_d6_initial_number01142[] = {1, 1, 3, 13, 3, 23, 73, 17, 257, 965, 239, 1271, 2803, 7327, 0};
static int joe_kuo_d6_initial_number01143[] = {1, 3, 5, 13, 9, 57, 115, 37, 41, 467, 135, 1403, 3811, 4741, 0};
static int joe_kuo_d6_initial_number01144[] = {1, 3, 7, 15, 9, 33, 39, 203, 351, 367, 1355, 1403, 3685, 4757, 0};
static int joe_kuo_d6_initial_number01145[] = {1, 3, 5, 11, 31, 3, 113, 123, 203, 421, 1821, 3151, 2375, 4419, 0};
static int joe_kuo_d6_initial_number01146[] = {1, 1, 1, 7, 21, 63, 99, 23, 133, 79, 991, 1755, 4989, 4709, 0};
static int joe_kuo_d6_initial_number01147[] = {1, 3, 5, 1, 25, 63, 113, 239, 49, 443, 173, 1261, 3201, 10599, 0};
static int joe_kuo_d6_initial_number01148[] = {1, 3, 3, 13, 3, 25, 101, 169, 23, 585, 327, 1327, 111, 10059, 0};
static int joe_kuo_d6_initial_number01149[] = {1, 3, 3, 5, 19, 1, 33, 89, 437, 213, 1933, 1741, 2603, 5625, 0};
static int joe_kuo_d6_initial_number01150[] = {1, 3, 1, 3, 15, 15, 25, 139, 73, 335, 237, 2461, 3101, 14951, 0};
static int joe_kuo_d6_initial_number01151[] = {1, 3, 5, 1, 31, 15, 31, 187, 177, 659, 1339, 3767, 4975, 7123, 0};
static int joe_kuo_d6_initial_number01152[] = {1, 3, 1, 3, 25, 19, 47, 89, 107, 107, 649, 683, 3123, 11085, 0};
static int joe_kuo_d6_initial_number01153[] = {1, 3, 7, 9, 15, 21, 101, 25, 11, 625, 1555, 675, 3893, 5805, 0};
static int joe_kuo_d6_initial_number01154[] = {1, 1, 1, 5, 7, 49, 123, 21, 439, 369, 207, 535, 4619, 14665, 0};
static int joe_kuo_d6_initial_number01155[] = {1, 1, 5, 7, 1, 25, 103, 185, 99, 239, 1093, 1561, 6177, 4039, 0};
static int joe_kuo_d6_initial_number01156[] = {1, 3, 7, 5, 29, 21, 43, 103, 343, 973, 1561, 2975, 7467, 7947, 0};
static int joe_kuo_d6_initial_number01157[] = {1, 1, 7, 9, 19, 3, 13, 23, 461, 813, 1191, 985, 559, 3317, 0};
static int joe_kuo_d6_initial_number01158[] = {1, 3, 5, 5, 27, 31, 79, 15, 365, 901, 1949, 117, 3619, 13311, 0};
static int joe_kuo_d6_initial_number01159[] = {1, 3, 5, 7, 5, 33, 67, 199, 425, 189, 1691, 3099, 815, 1677, 0};
static int joe_kuo_d6_initial_number01160[] = {1, 1, 7, 11, 13, 29, 73, 137, 265, 601, 445, 3893, 2511, 8047, 0};
static int joe_kuo_d6_initial_number01161[] = {1, 1, 3, 1, 13, 5, 57, 101, 357, 391, 335, 601, 1359, 1065, 0};
static int joe_kuo_d6_initial_number01162[] = {1, 1, 1, 1, 25, 57, 27, 115, 31, 873, 611, 2125, 447, 13585, 0};
static int joe_kuo_d6_initial_number01163[] = {1, 3, 3, 13, 27, 17, 73, 11, 359, 33, 1153, 271, 4537, 15141, 0};
static int joe_kuo_d6_initial_number01164[] = {1, 3, 7, 3, 11, 63, 103, 61, 59, 629, 1629, 3279, 3919, 3177, 0};
static int joe_kuo_d6_initial_number01165[] = {1, 1, 5, 15, 3, 63, 85, 193, 381, 165, 175, 3247, 2501, 4209, 0};
static int joe_kuo_d6_initial_number01166[] = {1, 1, 5, 15, 1, 33, 59, 219, 487, 193, 1557, 703, 2907, 7953, 0};
static int joe_kuo_d6_initial_number01167[] = {1, 1, 7, 3, 9, 3, 105, 95, 389, 991, 21, 3841, 6983, 285, 0};
static int joe_kuo_d6_initial_number01168[] = {1, 1, 1, 1, 1, 31, 25, 137, 117, 67, 1283, 1963, 6591, 15541, 0};
static int joe_kuo_d6_initial_number01169[] = {1, 3, 5, 11, 7, 15, 127, 89, 453, 777, 1827, 2311, 7661, 11833, 0};
static int joe_kuo_d6_initial_number01170[] = {1, 1, 7, 13, 19, 29, 79, 165, 223, 453, 2039, 3961, 6467, 5481, 0};
static int joe_kuo_d6_initial_number01171[] = {1, 3, 3, 7, 17, 41, 43, 157, 323, 3, 1001, 2109, 4513, 12127, 0};
static int joe_kuo_d6_initial_number01172[] = {1, 1, 5, 9, 31, 57, 3, 217, 113, 271, 1663, 1367, 6949, 8165, 0};
static int joe_kuo_d6_initial_number01173[] = {1, 1, 7, 15, 27, 35, 81, 235, 61, 205, 525, 311, 6357, 2527, 0};
static int joe_kuo_d6_initial_number01174[] = {1, 3, 1, 9, 19, 29, 71, 207, 321, 1011, 1615, 1333, 3459, 6681, 0};
static int joe_kuo_d6_initial_number01175[] = {1, 3, 7, 7, 3, 57, 41, 19, 25, 397, 565, 1837, 7625, 11813, 0};
static int joe_kuo_d6_initial_number01176[] = {1, 3, 3, 1, 27, 47, 31, 79, 441, 961, 1255, 423, 2405, 913, 0};
static int joe_kuo_d6_initial_number01177[] = {1, 3, 3, 13, 3, 29, 69, 227, 85, 201, 395, 3199, 3869, 13099, 0};
static int joe_kuo_d6_initial_number01178[] = {1, 3, 3, 7, 29, 61, 99, 7, 27, 227, 945, 873, 475, 4363, 0};
static int joe_kuo_d6_initial_number01179[] = {1, 3, 5, 13, 19, 21, 57, 149, 217, 443, 565, 453, 5487, 10981, 0};
static int joe_kuo_d6_initial_number01180[] = {1, 3, 3, 1, 9, 27, 47, 191, 35, 395, 1429, 4079, 6871, 8013, 0};
static int joe_kuo_d6_initial_number01181[] = {1, 3, 5, 15, 5, 43, 9, 79, 279, 563, 1125, 985, 8117, 4099, 0};
static int joe_kuo_d6_initial_number01182[] = {1, 3, 5, 1, 13, 41, 21, 117, 287, 667, 701, 1483, 8167, 13283, 0};
static int joe_kuo_d6_initial_number01183[] = {1, 3, 1, 3, 15, 15, 59, 5, 383, 509, 1657, 3977, 7697, 10941, 0};
static int joe_kuo_d6_initial_number01184[] = {1, 3, 1, 1, 17, 29, 19, 23, 377, 45, 981, 1631, 3557, 6749, 0};
static int joe_kuo_d6_initial_number01185[] = {1, 3, 3, 9, 9, 51, 9, 193, 345, 361, 1679, 3333, 713, 5387, 0};
static int joe_kuo_d6_initial_number01186[] = {1, 3, 5, 5, 17, 45, 97, 17, 385, 349, 105, 2245, 7295, 14393, 0};
static int joe_kuo_d6_initial_number01187[] = {1, 3, 7, 3, 19, 51, 35, 99, 79, 301, 1563, 399, 5879, 14675, 0};
static int joe_kuo_d6_initial_number01188[] = {1, 1, 7, 15, 13, 53, 55, 203, 417, 161, 2033, 1845, 6763, 3585, 0};
static int joe_kuo_d6_initial_number01189[] = {1, 1, 3, 3, 7, 23, 11, 43, 241, 309, 1453, 3147, 2619, 3163, 0};
static int joe_kuo_d6_initial_number01190[] = {1, 1, 1, 11, 17, 1, 17, 137, 443, 465, 993, 3217, 7879, 14607, 0};
static int joe_kuo_d6_initial_number01191[] = {1, 1, 7, 13, 29, 49, 71, 217, 291, 793, 135, 21, 2503, 11091, 0};
static int joe_kuo_d6_initial_number01192[] = {1, 3, 1, 11, 31, 51, 121, 227, 377, 157, 1457, 1317, 5625, 6217, 0};
static int joe_kuo_d6_initial_number01193[] = {1, 1, 3, 7, 23, 61, 47, 93, 79, 617, 1805, 2403, 5513, 16335, 0};
static int joe_kuo_d6_initial_number01194[] = {1, 3, 5, 11, 23, 25, 41, 11, 495, 587, 1223, 3107, 1469, 15223, 0};
static int joe_kuo_d6_initial_number01195[] = {1, 3, 7, 7, 9, 1, 1, 49, 23, 723, 1761, 3717, 7375, 10875, 0};
static int joe_kuo_d6_initial_number01196[] = {1, 3, 3, 11, 25, 37, 57, 63, 309, 603, 183, 285, 1663, 5627, 0};
static int joe_kuo_d6_initial_number01197[] = {1, 3, 7, 11, 19, 25, 25, 201, 391, 257, 529, 1645, 1, 15111, 0};
static int joe_kuo_d6_initial_number01198[] = {1, 3, 3, 9, 11, 43, 91, 65, 5, 959, 301, 1015, 6343, 3453, 0};
static int joe_kuo_d6_initial_number01199[] = {1, 3, 3, 11, 17, 17, 103, 37, 77, 973, 575, 439, 49, 3639, 0};
static int joe_kuo_d6_initial_number01200[] = {1, 1, 5, 7, 1, 15, 107, 237, 231, 967, 923, 1101, 6715, 1713, 0};
static int joe_kuo_d6_initial_number01201[] = {1, 3, 1, 15, 9, 33, 29, 211, 245, 601, 1783, 887, 1209, 11785, 0};
static int joe_kuo_d6_initial_number01202[] = {1, 3, 3, 7, 21, 43, 27, 89, 27, 141, 865, 367, 1379, 4063, 0};
static int joe_kuo_d6_initial_number01203[] = {1, 3, 7, 7, 15, 17, 15, 15, 131, 649, 1955, 3289, 3983, 10689, 0};
static int joe_kuo_d6_initial_number01204[] = {1, 3, 1, 5, 17, 7, 125, 69, 359, 981, 1345, 933, 5281, 7113, 0};
static int joe_kuo_d6_initial_number01205[] = {1, 1, 5, 9, 17, 7, 41, 207, 497, 1015, 493, 891, 3563, 3541, 0};
static int joe_kuo_d6_initial_number01206[] = {1, 3, 5, 11, 27, 3, 47, 31, 303, 1007, 2047, 2203, 6257, 8369, 0};
static int joe_kuo_d6_initial_number01207[] = {1, 1, 1, 15, 25, 15, 89, 51, 217, 357, 1133, 1917, 213, 3365, 0};
static int joe_kuo_d6_initial_number01208[] = {1, 1, 5, 13, 29, 23, 123, 207, 429, 805, 819, 2357, 6313, 11019, 0};
static int joe_kuo_d6_initial_number01209[] = {1, 1, 3, 7, 19, 15, 41, 73, 279, 11, 1089, 3107, 7737, 15953, 0};
static int joe_kuo_d6_initial_number01210[] = {1, 3, 5, 7, 7, 15, 41, 73, 493, 457, 1731, 1139, 2513, 12373, 0};
static int joe_kuo_d6_initial_number01211[] = {1, 3, 5, 9, 17, 5, 55, 155, 173, 1005, 529, 3175, 7667, 4747, 0};
static int joe_kuo_d6_initial_number01212[] = {1, 1, 7, 7, 5, 21, 105, 31, 205, 847, 1033, 3167, 2347, 8499, 0};
static int joe_kuo_d6_initial_number01213[] = {1, 3, 5, 3, 11, 17, 59, 189, 179, 1007, 33, 3287, 4813, 8177, 0};
static int joe_kuo_d6_initial_number01214[] = {1, 3, 3, 13, 27, 47, 47, 171, 413, 875, 1081, 1259, 7139, 8645, 0};
static int joe_kuo_d6_initial_number01215[] = {1, 3, 5, 7, 25, 21, 51, 29, 361, 293, 51, 1119, 1453, 5283, 0};
static int joe_kuo_d6_initial_number01216[] = {1, 3, 7, 7, 29, 55, 103, 199, 511, 341, 1957, 3987, 2855, 1279, 0};
static int joe_kuo_d6_initial_number01217[] = {1, 1, 1, 9, 23, 51, 61, 63, 391, 37, 55, 3771, 6517, 15913, 0};
static int joe_kuo_d6_initial_number01218[] = {1, 1, 1, 9, 3, 19, 13, 147, 453, 855, 1321, 189, 5043, 11215, 0};
static int joe_kuo_d6_initial_number01219[] = {1, 3, 3, 13, 23, 3, 87, 155, 401, 981, 607, 3413, 995, 6473, 0};
static int joe_kuo_d6_initial_number01220[] = {1, 3, 1, 9, 29, 47, 95, 123, 421, 353, 1867, 2609, 2569, 14083, 0};
static int joe_kuo_d6_initial_number01221[] = {1, 1, 5, 13, 25, 39, 29, 111, 125, 545, 1493, 2371, 6361, 6307, 0};
static int joe_kuo_d6_initial_number01222[] = {1, 3, 3, 11, 13, 31, 87, 75, 27, 393, 921, 3655, 3343, 16349, 0};
static int joe_kuo_d6_initial_number01223[] = {1, 1, 5, 9, 19, 19, 7, 129, 223, 715, 433, 1627, 4463, 2951, 0};
static int joe_kuo_d6_initial_number01224[] = {1, 1, 7, 1, 31, 13, 49, 33, 89, 43, 1529, 725, 3809, 3427, 0};
static int joe_kuo_d6_initial_number01225[] = {1, 1, 7, 3, 1, 27, 45, 9, 309, 875, 659, 2661, 553, 7069, 0};
static int joe_kuo_d6_initial_number01226[] = {1, 1, 7, 15, 13, 37, 61, 19, 125, 683, 1227, 2255, 1455, 9339, 0};
static int joe_kuo_d6_initial_number01227[] = {1, 3, 5, 7, 19, 7, 71, 21, 465, 645, 1885, 873, 7405, 1913, 0};
static int joe_kuo_d6_initial_number01228[] = {1, 3, 1, 11, 11, 35, 79, 61, 79, 57, 1603, 3719, 6323, 16371, 0};
static int joe_kuo_d6_initial_number01229[] = {1, 1, 7, 1, 29, 57, 85, 21, 205, 37, 2045, 683, 4901, 8223, 0};
static int joe_kuo_d6_initial_number01230[] = {1, 1, 5, 13, 31, 31, 65, 131, 259, 535, 967, 3943, 2605, 2089, 0};
static int joe_kuo_d6_initial_number01231[] = {1, 1, 7, 9, 27, 61, 39, 243, 207, 41, 1909, 3279, 1331, 4635, 0};
static int joe_kuo_d6_initial_number01232[] = {1, 3, 3, 5, 11, 63, 105, 19, 169, 95, 773, 3175, 1869, 1797, 0};
static int joe_kuo_d6_initial_number01233[] = {1, 3, 3, 15, 13, 33, 107, 197, 153, 795, 1477, 105, 4965, 991, 0};
static int joe_kuo_d6_initial_number01234[] = {1, 3, 7, 11, 11, 37, 23, 149, 197, 3, 1035, 3857, 553, 1059, 0};
static int joe_kuo_d6_initial_number01235[] = {1, 3, 1, 3, 17, 29, 89, 189, 193, 59, 1477, 3517, 2565, 7739, 0};
static int joe_kuo_d6_initial_number01236[] = {1, 1, 1, 9, 23, 3, 25, 163, 469, 305, 1791, 3393, 6141, 8119, 0};
static int joe_kuo_d6_initial_number01237[] = {1, 3, 5, 7, 7, 41, 19, 101, 179, 487, 1071, 2761, 8043, 5103, 0};
static int joe_kuo_d6_initial_number01238[] = {1, 1, 7, 9, 1, 21, 101, 103, 349, 85, 1841, 1033, 4473, 3563, 0};
static int joe_kuo_d6_initial_number01239[] = {1, 1, 3, 13, 23, 61, 39, 27, 479, 13, 45, 1371, 7897, 10637, 0};
static int joe_kuo_d6_initial_number01240[] = {1, 1, 5, 9, 17, 61, 71, 55, 355, 99, 1695, 3053, 839, 959, 0};
static int joe_kuo_d6_initial_number01241[] = {1, 1, 3, 1, 7, 27, 87, 221, 327, 241, 461, 3177, 5933, 8299, 0};
static int joe_kuo_d6_initial_number01242[] = {1, 3, 7, 9, 5, 41, 111, 245, 447, 263, 1363, 1767, 6331, 3355, 0};
static int joe_kuo_d6_initial_number01243[] = {1, 3, 3, 13, 15, 11, 15, 169, 429, 149, 1965, 2477, 7733, 2499, 0};
static int joe_kuo_d6_initial_number01244[] = {1, 1, 5, 15, 15, 47, 25, 33, 469, 701, 773, 2747, 1533, 14633, 0};
static int joe_kuo_d6_initial_number01245[] = {1, 3, 1, 5, 19, 57, 37, 75, 423, 11, 685, 2487, 1779, 8797, 0};
static int joe_kuo_d6_initial_number01246[] = {1, 3, 1, 5, 19, 41, 67, 99, 333, 991, 953, 3221, 939, 4197, 0};
static int joe_kuo_d6_initial_number01247[] = {1, 3, 1, 15, 11, 39, 25, 1, 159, 679, 465, 1611, 5799, 2537, 0};
static int joe_kuo_d6_initial_number01248[] = {1, 1, 5, 11, 5, 37, 37, 7, 101, 703, 235, 23, 2209, 12799, 0};
static int joe_kuo_d6_initial_number01249[] = {1, 1, 7, 3, 11, 23, 71, 215, 45, 269, 1539, 3625, 5773, 6889, 0};
static int joe_kuo_d6_initial_number01250[] = {1, 3, 5, 15, 27, 33, 105, 109, 205, 653, 821, 435, 1087, 2495, 0};
static int joe_kuo_d6_initial_number01251[] = {1, 1, 3, 5, 11, 39, 53, 213, 41, 385, 1425, 25, 5553, 12523, 0};
static int joe_kuo_d6_initial_number01252[] = {1, 3, 5, 15, 29, 49, 13, 253, 505, 407, 985, 2569, 6727, 4761, 0};
static int joe_kuo_d6_initial_number01253[] = {1, 1, 1, 3, 29, 17, 69, 47, 25, 819, 1145, 2479, 1183, 3343, 0};
static int joe_kuo_d6_initial_number01254[] = {1, 3, 1, 15, 25, 61, 43, 55, 279, 579, 361, 355, 6101, 3143, 0};
static int joe_kuo_d6_initial_number01255[] = {1, 3, 5, 11, 3, 59, 125, 101, 451, 495, 1711, 3443, 3625, 15579, 0};
static int joe_kuo_d6_initial_number01256[] = {1, 3, 1, 11, 25, 61, 49, 219, 23, 795, 481, 3609, 3691, 15419, 0};
static int joe_kuo_d6_initial_number01257[] = {1, 3, 7, 5, 9, 59, 49, 233, 345, 143, 181, 3587, 3041, 1219, 0};
static int joe_kuo_d6_initial_number01258[] = {1, 3, 7, 13, 9, 31, 39, 137, 261, 919, 1367, 3145, 4659, 5875, 0};
static int joe_kuo_d6_initial_number01259[] = {1, 1, 3, 3, 27, 43, 95, 65, 301, 915, 31, 451, 7743, 7277, 0};
static int joe_kuo_d6_initial_number01260[] = {1, 3, 1, 5, 23, 37, 53, 31, 203, 453, 71, 1585, 6011, 16369, 0};
static int joe_kuo_d6_initial_number01261[] = {1, 1, 5, 1, 15, 47, 91, 227, 297, 45, 1415, 3647, 7811, 14015, 0};
static int joe_kuo_d6_initial_number01262[] = {1, 1, 1, 1, 29, 27, 93, 121, 169, 69, 1361, 2907, 1867, 7017, 0};
static int joe_kuo_d6_initial_number01263[] = {1, 3, 1, 7, 23, 53, 77, 41, 25, 873, 1333, 3889, 3239, 1771, 0};
static int joe_kuo_d6_initial_number01264[] = {1, 1, 1, 7, 31, 27, 87, 81, 167, 343, 1981, 2499, 7749, 15747, 0};
static int joe_kuo_d6_initial_number01265[] = {1, 3, 5, 13, 1, 17, 97, 37, 81, 645, 1167, 3547, 7769, 10731, 0};
static int joe_kuo_d6_initial_number01266[] = {1, 1, 7, 5, 9, 17, 31, 55, 151, 463, 1041, 2303, 4015, 3737, 0};
static int joe_kuo_d6_initial_number01267[] = {1, 1, 3, 11, 31, 9, 81, 213, 95, 215, 2031, 2129, 4299, 3021, 0};
static int joe_kuo_d6_initial_number01268[] = {1, 1, 1, 3, 25, 25, 115, 229, 101, 441, 783, 1729, 7905, 2375, 0};
static int joe_kuo_d6_initial_number01269[] = {1, 1, 5, 9, 3, 19, 73, 35, 379, 493, 1333, 1647, 13, 197, 0};
static int joe_kuo_d6_initial_number01270[] = {1, 1, 7, 9, 3, 55, 99, 43, 281, 9, 73, 2477, 8183, 11055, 0};
static int joe_kuo_d6_initial_number01271[] = {1, 3, 7, 13, 25, 19, 27, 195, 469, 175, 355, 1861, 7255, 15377, 0};
static int joe_kuo_d6_initial_number01272[] = {1, 1, 3, 11, 15, 19, 115, 31, 413, 835, 697, 879, 6515, 13465, 0};
static int joe_kuo_d6_initial_number01273[] = {1, 3, 3, 15, 3, 61, 105, 201, 151, 739, 49, 3963, 2573, 3303, 0};
static int joe_kuo_d6_initial_number01274[] = {1, 3, 5, 7, 23, 5, 11, 215, 19, 591, 509, 2887, 1631, 4391, 0};
static int joe_kuo_d6_initial_number01275[] = {1, 3, 3, 3, 25, 1, 109, 5, 363, 545, 1745, 503, 827, 4677, 0};
static int joe_kuo_d6_initial_number01276[] = {1, 1, 3, 15, 1, 45, 121, 141, 497, 745, 1825, 2041, 2561, 8153, 0};
static int joe_kuo_d6_initial_number01277[] = {1, 3, 1, 11, 29, 7, 71, 241, 7, 39, 1379, 2479, 7483, 7195, 0};
static int joe_kuo_d6_initial_number01278[] = {1, 1, 7, 11, 3, 27, 39, 97, 339, 217, 1409, 1569, 4761, 1567, 0};
static int joe_kuo_d6_initial_number01279[] = {1, 1, 5, 15, 11, 53, 87, 213, 297, 923, 393, 717, 3297, 16123, 0};
static int joe_kuo_d6_initial_number01280[] = {1, 1, 1, 11, 27, 41, 121, 49, 225, 379, 1305, 319, 2461, 5445, 0};
static int joe_kuo_d6_initial_number01281[] = {1, 1, 5, 5, 25, 3, 121, 23, 47, 843, 1679, 1427, 6393, 4199, 0};
static int joe_kuo_d6_initial_number01282[] = {1, 1, 5, 13, 17, 3, 17, 25, 161, 487, 121, 361, 1375, 10745, 0};
static int joe_kuo_d6_initial_number01283[] = {1, 1, 7, 3, 3, 37, 7, 245, 107, 107, 745, 2415, 2131, 11419, 0};
static int joe_kuo_d6_initial_number01284[] = {1, 1, 5, 3, 3, 23, 67, 91, 281, 387, 465, 905, 883, 9775, 0};
static int joe_kuo_d6_initial_number01285[] = {1, 3, 7, 15, 25, 55, 123, 49, 23, 983, 1903, 2589, 2073, 7823, 0};
static int joe_kuo_d6_initial_number01286[] = {1, 1, 5, 11, 25, 17, 63, 229, 267, 175, 1759, 1947, 479, 11089, 0};
static int joe_kuo_d6_initial_number01287[] = {1, 3, 7, 3, 11, 37, 83, 95, 415, 1003, 1175, 2361, 2117, 9809, 0};
static int joe_kuo_d6_initial_number01288[] = {1, 3, 1, 9, 5, 39, 51, 129, 249, 161, 1981, 2755, 8057, 13641, 0};
static int joe_kuo_d6_initial_number01289[] = {1, 1, 7, 1, 15, 47, 9, 197, 199, 549, 1091, 2853, 2331, 4535, 0};
static int joe_kuo_d6_initial_number01290[] = {1, 3, 3, 13, 15, 21, 23, 111, 463, 719, 1667, 377, 5039, 10723, 0};
static int joe_kuo_d6_initial_number01291[] = {1, 1, 3, 7, 23, 47, 39, 47, 307, 949, 1651, 2525, 5835, 1425, 0};
static int joe_kuo_d6_initial_number01292[] = {1, 3, 3, 9, 23, 47, 111, 39, 251, 1001, 179, 3985, 535, 15435, 0};
static int joe_kuo_d6_initial_number01293[] = {1, 1, 3, 13, 5, 45, 51, 123, 205, 651, 1583, 1691, 1631, 11975, 0};
static int joe_kuo_d6_initial_number01294[] = {1, 1, 7, 9, 1, 29, 59, 27, 389, 497, 1459, 1633, 521, 14037, 0};
static int joe_kuo_d6_initial_number01295[] = {1, 1, 3, 3, 3, 23, 35, 247, 371, 729, 931, 681, 1777, 8353, 0};
static int joe_kuo_d6_initial_number01296[] = {1, 3, 3, 1, 19, 15, 17, 191, 495, 643, 319, 37, 5691, 7049, 0};
static int joe_kuo_d6_initial_number01297[] = {1, 3, 5, 11, 5, 31, 123, 243, 335, 573, 113, 209, 4825, 7783, 0};
static int joe_kuo_d6_initial_number01298[] = {1, 3, 7, 7, 29, 19, 25, 191, 89, 515, 55, 3013, 4523, 12913, 0};
static int joe_kuo_d6_initial_number01299[] = {1, 1, 3, 3, 15, 3, 35, 37, 339, 7, 697, 359, 4553, 1431, 0};
static int joe_kuo_d6_initial_number01300[] = {1, 3, 1, 1, 9, 15, 33, 77, 161, 13, 255, 1187, 6587, 11715, 0};
static int joe_kuo_d6_initial_number01301[] = {1, 3, 7, 7, 25, 57, 61, 171, 231, 43, 1219, 903, 5623, 4781, 0};
static int joe_kuo_d6_initial_number01302[] = {1, 1, 5, 15, 29, 47, 117, 23, 213, 907, 1423, 369, 4529, 9651, 0};
static int joe_kuo_d6_initial_number01303[] = {1, 1, 5, 7, 15, 55, 105, 249, 401, 37, 1885, 3779, 3441, 9057, 0};
static int joe_kuo_d6_initial_number01304[] = {1, 1, 5, 3, 3, 27, 49, 89, 335, 561, 1235, 3251, 2731, 12711, 0};
static int joe_kuo_d6_initial_number01305[] = {1, 1, 1, 15, 29, 49, 37, 173, 25, 743, 1321, 821, 5899, 9213, 0};
static int joe_kuo_d6_initial_number01306[] = {1, 1, 7, 3, 1, 41, 61, 209, 275, 925, 521, 3029, 1569, 9277, 0};
static int joe_kuo_d6_initial_number01307[] = {1, 3, 5, 13, 17, 1, 11, 171, 441, 119, 1589, 299, 157, 11439, 0};
static int joe_kuo_d6_initial_number01308[] = {1, 1, 5, 9, 13, 33, 27, 77, 363, 939, 1103, 2135, 1759, 5429, 0};
static int joe_kuo_d6_initial_number01309[] = {1, 3, 7, 1, 17, 39, 49, 201, 49, 803, 2003, 1193, 7415, 13847, 0};
static int joe_kuo_d6_initial_number01310[] = {1, 1, 5, 5, 17, 49, 39, 19, 311, 801, 1441, 3263, 7973, 14181, 0};
static int joe_kuo_d6_initial_number01311[] = {1, 1, 3, 9, 9, 27, 59, 89, 81, 473, 1369, 3121, 7929, 10905, 0};
static int joe_kuo_d6_initial_number01312[] = {1, 3, 3, 5, 17, 35, 35, 239, 379, 431, 501, 3561, 2059, 9679, 0};
static int joe_kuo_d6_initial_number01313[] = {1, 3, 5, 15, 25, 29, 113, 179, 269, 891, 301, 2017, 7513, 9379, 0};
static int joe_kuo_d6_initial_number01314[] = {1, 3, 1, 11, 17, 35, 49, 149, 135, 661, 1691, 3169, 3765, 9003, 0};
static int joe_kuo_d6_initial_number01315[] = {1, 3, 7, 15, 5, 21, 53, 241, 475, 271, 683, 2351, 2181, 6333, 0};
static int joe_kuo_d6_initial_number01316[] = {1, 1, 7, 13, 25, 33, 71, 153, 221, 507, 2017, 2401, 7545, 8489, 0};
static int joe_kuo_d6_initial_number01317[] = {1, 1, 7, 5, 1, 49, 87, 1, 179, 331, 1597, 3713, 809, 11109, 0};
static int joe_kuo_d6_initial_number01318[] = {1, 3, 1, 5, 5, 61, 93, 39, 479, 977, 1099, 1291, 7049, 2797, 0};
static int joe_kuo_d6_initial_number01319[] = {1, 3, 1, 13, 19, 41, 57, 77, 5, 117, 125, 115, 3969, 1345, 0};
static int joe_kuo_d6_initial_number01320[] = {1, 1, 1, 9, 15, 9, 57, 7, 219, 41, 767, 23, 5771, 14175, 0};
static int joe_kuo_d6_initial_number01321[] = {1, 3, 7, 9, 17, 61, 1, 59, 227, 349, 63, 189, 3871, 7919, 0};
static int joe_kuo_d6_initial_number01322[] = {1, 3, 5, 5, 9, 29, 33, 203, 413, 701, 1129, 2103, 1889, 8377, 0};
static int joe_kuo_d6_initial_number01323[] = {1, 1, 3, 1, 9, 17, 69, 115, 123, 1001, 1, 2893, 3957, 8593, 0};
static int joe_kuo_d6_initial_number01324[] = {1, 1, 3, 1, 31, 41, 83, 91, 113, 195, 1121, 2665, 6815, 1189, 0};
static int joe_kuo_d6_initial_number01325[] = {1, 1, 1, 13, 3, 59, 13, 123, 95, 103, 1689, 2809, 5049, 4055, 0};
static int joe_kuo_d6_initial_number01326[] = {1, 1, 1, 15, 21, 41, 11, 167, 375, 589, 207, 1631, 1597, 8091, 0};
static int joe_kuo_d6_initial_number01327[] = {1, 3, 5, 5, 1, 33, 57, 89, 157, 921, 1353, 2777, 461, 14567, 0};
static int joe_kuo_d6_initial_number01328[] = {1, 1, 5, 1, 25, 5, 51, 247, 1, 577, 463, 3741, 303, 16059, 0};
static int joe_kuo_d6_initial_number01329[] = {1, 1, 7, 5, 13, 7, 17, 87, 51, 987, 835, 93, 5203, 3973, 0};
static int joe_kuo_d6_initial_number01330[] = {1, 1, 7, 7, 3, 27, 7, 1, 135, 171, 231, 3349, 4459, 2925, 0};
static int joe_kuo_d6_initial_number01331[] = {1, 1, 5, 5, 9, 51, 71, 153, 115, 315, 265, 2207, 4127, 12631, 0};
static int joe_kuo_d6_initial_number01332[] = {1, 1, 3, 15, 23, 59, 35, 121, 425, 921, 1255, 2123, 5811, 15937, 0};
static int joe_kuo_d6_initial_number01333[] = {1, 3, 7, 7, 11, 21, 45, 57, 269, 395, 555, 783, 6677, 2889, 0};
static int joe_kuo_d6_initial_number01334[] = {1, 3, 5, 7, 31, 19, 73, 35, 465, 349, 1429, 863, 4707, 6121, 0};
static int joe_kuo_d6_initial_number01335[] = {1, 3, 3, 9, 25, 27, 119, 159, 195, 949, 19, 73, 4511, 15711, 0};
static int joe_kuo_d6_initial_number01336[] = {1, 3, 3, 7, 9, 59, 47, 57, 91, 749, 1579, 1297, 2445, 5167, 0};
static int joe_kuo_d6_initial_number01337[] = {1, 3, 3, 3, 31, 57, 19, 203, 61, 927, 1477, 2863, 1305, 11673, 0};
static int joe_kuo_d6_initial_number01338[] = {1, 3, 7, 11, 29, 13, 3, 111, 351, 79, 1863, 2213, 3273, 7049, 0};
static int joe_kuo_d6_initial_number01339[] = {1, 3, 3, 9, 7, 23, 47, 237, 121, 877, 441, 119, 2723, 3989, 0};
static int joe_kuo_d6_initial_number01340[] = {1, 3, 3, 11, 17, 23, 63, 177, 231, 363, 1451, 33, 2169, 7251, 0};
static int joe_kuo_d6_initial_number01341[] = {1, 1, 5, 11, 31, 41, 93, 229, 39, 1009, 1061, 433, 2393, 15401, 0};
static int joe_kuo_d6_initial_number01342[] = {1, 1, 5, 15, 31, 37, 25, 135, 135, 897, 33, 3713, 7663, 8079, 0};
static int joe_kuo_d6_initial_number01343[] = {1, 1, 5, 7, 17, 49, 43, 89, 411, 731, 1431, 3893, 1635, 7063, 0};
static int joe_kuo_d6_initial_number01344[] = {1, 1, 1, 13, 29, 27, 5, 77, 283, 913, 789, 817, 3309, 475, 0};
static int joe_kuo_d6_initial_number01345[] = {1, 1, 3, 1, 19, 21, 67, 77, 423, 551, 5, 1057, 5469, 7859, 0};
static int joe_kuo_d6_initial_number01346[] = {1, 1, 5, 1, 1, 21, 99, 237, 215, 759, 1505, 1983, 1517, 8923, 0};
static int joe_kuo_d6_initial_number01347[] = {1, 3, 5, 7, 19, 61, 73, 215, 165, 127, 205, 259, 7755, 15395, 0};
static int joe_kuo_d6_initial_number01348[] = {1, 1, 5, 9, 15, 23, 17, 111, 471, 751, 1923, 775, 6901, 13095, 0};
static int joe_kuo_d6_initial_number01349[] = {1, 1, 7, 1, 25, 5, 63, 141, 461, 687, 1589, 1559, 7719, 11349, 0};
static int joe_kuo_d6_initial_number01350[] = {1, 1, 1, 3, 11, 63, 11, 27, 253, 439, 297, 1315, 829, 3765, 0};
static int joe_kuo_d6_initial_number01351[] = {1, 3, 1, 1, 9, 47, 127, 179, 173, 809, 241, 35, 7355, 5049, 0};
static int joe_kuo_d6_initial_number01352[] = {1, 3, 1, 11, 19, 63, 93, 1, 205, 977, 303, 3409, 6529, 10927, 0};
static int joe_kuo_d6_initial_number01353[] = {1, 3, 7, 9, 31, 63, 41, 79, 477, 91, 1801, 3487, 6885, 13341, 0};
static int joe_kuo_d6_initial_number01354[] = {1, 1, 3, 7, 15, 59, 9, 101, 459, 247, 549, 2855, 5765, 7785, 0};
static int joe_kuo_d6_initial_number01355[] = {1, 1, 7, 3, 13, 59, 71, 123, 93, 517, 1453, 2389, 4429, 5053, 0};
static int joe_kuo_d6_initial_number01356[] = {1, 1, 5, 3, 19, 21, 77, 53, 81, 879, 1653, 1637, 3667, 2623, 0};
static int joe_kuo_d6_initial_number01357[] = {1, 1, 1, 15, 17, 57, 65, 53, 407, 765, 417, 497, 5009, 2175, 0};
static int joe_kuo_d6_initial_number01358[] = {1, 3, 3, 7, 31, 13, 5, 203, 263, 17, 119, 1607, 6773, 11195, 0};
static int joe_kuo_d6_initial_number01359[] = {1, 3, 3, 13, 19, 13, 13, 147, 93, 735, 689, 781, 655, 6853, 0};
static int joe_kuo_d6_initial_number01360[] = {1, 1, 1, 1, 1, 25, 63, 159, 493, 987, 71, 1249, 5859, 11717, 0};
static int joe_kuo_d6_initial_number01361[] = {1, 1, 1, 15, 13, 23, 61, 61, 5, 947, 1853, 3331, 467, 8081, 0};
static int joe_kuo_d6_initial_number01362[] = {1, 1, 3, 9, 19, 61, 65, 189, 95, 309, 283, 1725, 5683, 15463, 0};
static int joe_kuo_d6_initial_number01363[] = {1, 1, 7, 5, 9, 33, 35, 75, 475, 831, 1445, 1485, 5047, 9631, 0};
static int joe_kuo_d6_initial_number01364[] = {1, 1, 3, 15, 11, 23, 59, 87, 433, 221, 685, 3113, 4095, 13819, 0};
static int joe_kuo_d6_initial_number01365[] = {1, 1, 7, 15, 25, 29, 67, 17, 349, 353, 1321, 563, 57, 533, 0};
static int joe_kuo_d6_initial_number01366[] = {1, 3, 3, 3, 5, 43, 109, 217, 15, 185, 1895, 1015, 1831, 10623, 0};
static int joe_kuo_d6_initial_number01367[] = {1, 1, 7, 1, 1, 47, 81, 185, 59, 691, 191, 3709, 1535, 13347, 0};
static int joe_kuo_d6_initial_number01368[] = {1, 1, 5, 1, 23, 57, 83, 217, 457, 771, 1877, 2789, 8143, 4797, 0};
static int joe_kuo_d6_initial_number01369[] = {1, 1, 3, 7, 23, 35, 79, 49, 227, 205, 1523, 3873, 4843, 10505, 0};
static int joe_kuo_d6_initial_number01370[] = {1, 1, 1, 1, 17, 43, 121, 95, 205, 35, 189, 2061, 1693, 13273, 0};
static int joe_kuo_d6_initial_number01371[] = {1, 1, 1, 15, 31, 49, 83, 249, 433, 497, 1949, 1845, 5215, 5971, 0};
static int joe_kuo_d6_initial_number01372[] = {1, 3, 1, 1, 21, 53, 73, 211, 265, 929, 923, 279, 3621, 9469, 0};
static int joe_kuo_d6_initial_number01373[] = {1, 3, 7, 7, 1, 57, 13, 45, 467, 705, 371, 1345, 1647, 3411, 0};
static int joe_kuo_d6_initial_number01374[] = {1, 3, 1, 11, 27, 29, 117, 163, 143, 669, 489, 3913, 7891, 9031, 0};
static int joe_kuo_d6_initial_number01375[] = {1, 3, 7, 15, 27, 15, 77, 217, 107, 839, 1517, 1543, 357, 10365, 0};
static int joe_kuo_d6_initial_number01376[] = {1, 1, 1, 5, 31, 17, 107, 245, 345, 939, 1453, 3645, 6865, 16173, 0};
static int joe_kuo_d6_initial_number01377[] = {1, 3, 5, 5, 9, 61, 43, 97, 453, 917, 945, 2143, 5473, 5611, 0};
static int joe_kuo_d6_initial_number01378[] = {1, 1, 5, 11, 3, 33, 71, 97, 137, 549, 1605, 3839, 4883, 2677, 0};
static int joe_kuo_d6_initial_number01379[] = {1, 3, 1, 11, 29, 23, 85, 47, 225, 633, 1613, 1297, 1415, 15813, 0};
static int joe_kuo_d6_initial_number01380[] = {1, 1, 3, 3, 9, 19, 57, 107, 79, 449, 1951, 753, 6317, 10377, 0};
static int joe_kuo_d6_initial_number01381[] = {1, 1, 1, 5, 21, 3, 39, 187, 299, 517, 1313, 741, 7259, 4197, 0};
static int joe_kuo_d6_initial_number01382[] = {1, 1, 5, 13, 1, 39, 39, 41, 381, 123, 1257, 3185, 493, 3723, 0};
static int joe_kuo_d6_initial_number01383[] = {1, 3, 7, 7, 3, 37, 15, 161, 129, 169, 555, 3605, 4287, 15831, 0};
static int joe_kuo_d6_initial_number01384[] = {1, 3, 7, 15, 15, 23, 81, 163, 257, 791, 505, 1903, 2703, 11919, 0};
static int joe_kuo_d6_initial_number01385[] = {1, 3, 7, 7, 27, 63, 17, 147, 111, 851, 1533, 1365, 5359, 3315, 0};
static int joe_kuo_d6_initial_number01386[] = {1, 3, 7, 1, 15, 5, 61, 143, 385, 261, 1019, 1705, 1737, 14485, 0};
static int joe_kuo_d6_initial_number01387[] = {1, 3, 5, 5, 25, 17, 49, 229, 431, 567, 1613, 3431, 2139, 2981, 0};
static int joe_kuo_d6_initial_number01388[] = {1, 3, 5, 11, 17, 57, 71, 241, 31, 1007, 1695, 2965, 149, 14125, 0};
static int joe_kuo_d6_initial_number01389[] = {1, 1, 3, 11, 7, 49, 39, 101, 5, 501, 1491, 3061, 225, 12255, 0};
static int joe_kuo_d6_initial_number01390[] = {1, 3, 5, 7, 17, 35, 37, 97, 415, 15, 1349, 997, 2949, 4511, 0};
static int joe_kuo_d6_initial_number01391[] = {1, 3, 1, 5, 25, 35, 99, 183, 161, 59, 1363, 515, 3767, 3641, 0};
static int joe_kuo_d6_initial_number01392[] = {1, 1, 7, 15, 7, 15, 127, 137, 281, 67, 139, 2315, 3517, 13371, 0};
static int joe_kuo_d6_initial_number01393[] = {1, 1, 5, 15, 23, 49, 19, 79, 425, 805, 1035, 429, 7707, 14195, 0};
static int joe_kuo_d6_initial_number01394[] = {1, 3, 5, 3, 21, 25, 123, 11, 425, 475, 961, 2995, 7405, 5449, 0};
static int joe_kuo_d6_initial_number01395[] = {1, 1, 7, 1, 21, 1, 75, 231, 451, 595, 719, 2369, 5907, 1227, 0};
static int joe_kuo_d6_initial_number01396[] = {1, 1, 1, 9, 21, 57, 45, 255, 19, 79, 481, 3363, 3451, 8399, 0};
static int joe_kuo_d6_initial_number01397[] = {1, 1, 7, 13, 31, 49, 95, 69, 483, 427, 37, 4047, 7057, 9111, 0};
static int joe_kuo_d6_initial_number01398[] = {1, 3, 3, 11, 3, 61, 87, 79, 499, 91, 771, 1987, 2017, 3381, 0};
static int joe_kuo_d6_initial_number01399[] = {1, 3, 1, 7, 5, 57, 1, 121, 155, 225, 501, 477, 6555, 9863, 0};
static int joe_kuo_d6_initial_number01400[] = {1, 3, 7, 11, 27, 49, 83, 213, 61, 283, 1599, 3205, 2525, 8553, 0};
static int joe_kuo_d6_initial_number01401[] = {1, 1, 1, 9, 9, 49, 3, 51, 141, 33, 301, 2167, 587, 15067, 0};
static int joe_kuo_d6_initial_number01402[] = {1, 1, 1, 11, 7, 55, 99, 81, 191, 553, 953, 3753, 6731, 1093, 0};
static int joe_kuo_d6_initial_number01403[] = {1, 1, 3, 3, 11, 59, 57, 235, 297, 197, 853, 1411, 3799, 7527, 0};
static int joe_kuo_d6_initial_number01404[] = {1, 3, 5, 3, 7, 7, 5, 201, 393, 95, 91, 3273, 6285, 10661, 0};
static int joe_kuo_d6_initial_number01405[] = {1, 1, 5, 7, 17, 57, 87, 3, 413, 915, 659, 369, 3593, 14429, 0};
static int joe_kuo_d6_initial_number01406[] = {1, 3, 7, 1, 31, 31, 45, 115, 417, 427, 745, 4087, 953, 1119, 0};
static int joe_kuo_d6_initial_number01407[] = {1, 3, 7, 3, 29, 43, 45, 221, 41, 641, 451, 173, 2999, 12103, 0};
static int joe_kuo_d6_initial_number01408[] = {1, 1, 3, 11, 25, 57, 117, 201, 135, 787, 1525, 3879, 3247, 8907, 0};
static int joe_kuo_d6_initial_number01409[] = {1, 1, 7, 11, 3, 35, 69, 157, 331, 615, 573, 2169, 3575, 289, 0};
static int joe_kuo_d6_initial_number01410[] = {1, 3, 3, 13, 15, 51, 67, 127, 265, 495, 103, 3145, 2685, 15919, 0};
static int joe_kuo_d6_initial_number01411[] = {1, 3, 5, 11, 31, 27, 65, 57, 153, 465, 1163, 467, 4103, 4713, 0};
static int joe_kuo_d6_initial_number01412[] = {1, 3, 7, 3, 23, 31, 9, 51, 239, 417, 1597, 229, 2865, 15199, 0};
static int joe_kuo_d6_initial_number01413[] = {1, 3, 5, 3, 11, 45, 123, 217, 31, 765, 1009, 2001, 3645, 9407, 0};
static int joe_kuo_d6_initial_number01414[] = {1, 3, 3, 9, 5, 23, 117, 83, 237, 1017, 251, 1187, 2631, 5151, 0};
static int joe_kuo_d6_initial_number01415[] = {1, 1, 1, 7, 23, 55, 97, 141, 501, 305, 467, 4061, 2369, 15973, 0};
static int joe_kuo_d6_initial_number01416[] = {1, 1, 7, 5, 31, 51, 125, 191, 219, 495, 37, 3337, 813, 241, 0};
static int joe_kuo_d6_initial_number01417[] = {1, 3, 1, 1, 11, 39, 93, 109, 285, 147, 1297, 737, 4051, 7223, 0};
static int joe_kuo_d6_initial_number01418[] = {1, 3, 1, 15, 13, 17, 57, 171, 463, 163, 609, 1681, 7583, 9231, 0};
static int joe_kuo_d6_initial_number01419[] = {1, 3, 1, 1, 23, 5, 51, 5, 205, 415, 419, 989, 4239, 10943, 0};
static int joe_kuo_d6_initial_number01420[] = {1, 1, 3, 15, 3, 13, 65, 145, 387, 59, 395, 1067, 4143, 5649, 0};
static int joe_kuo_d6_initial_number01421[] = {1, 3, 1, 13, 9, 59, 121, 127, 95, 71, 1541, 1423, 1753, 8041, 0};
static int joe_kuo_d6_initial_number01422[] = {1, 1, 3, 15, 7, 5, 69, 167, 181, 991, 1189, 4017, 5935, 6669, 0};
static int joe_kuo_d6_initial_number01423[] = {1, 3, 5, 7, 23, 41, 53, 21, 47, 261, 1231, 2011, 133, 2247, 0};
static int joe_kuo_d6_initial_number01424[] = {1, 1, 1, 5, 17, 47, 77, 19, 331, 609, 1893, 3965, 3123, 9093, 0};
static int joe_kuo_d6_initial_number01425[] = {1, 3, 1, 3, 9, 39, 103, 231, 249, 75, 373, 107, 1823, 10801, 0};
static int joe_kuo_d6_initial_number01426[] = {1, 3, 3, 7, 1, 51, 35, 111, 137, 879, 1221, 225, 4285, 2287, 0};
static int joe_kuo_d6_initial_number01427[] = {1, 1, 7, 9, 23, 17, 75, 245, 409, 163, 395, 3731, 7111, 6845, 0};
static int joe_kuo_d6_initial_number01428[] = {1, 1, 3, 13, 29, 47, 75, 153, 497, 621, 1691, 3187, 2125, 10533, 0};
static int joe_kuo_d6_initial_number01429[] = {1, 1, 7, 7, 9, 7, 55, 159, 255, 417, 1335, 643, 3843, 3733, 0};
static int joe_kuo_d6_initial_number01430[] = {1, 3, 3, 1, 21, 41, 7, 21, 5, 679, 1655, 95, 5699, 5785, 0};
static int joe_kuo_d6_initial_number01431[] = {1, 1, 1, 13, 19, 7, 85, 7, 195, 357, 1097, 2893, 2913, 9635, 0};
static int joe_kuo_d6_initial_number01432[] = {1, 1, 5, 9, 25, 33, 41, 155, 39, 655, 1993, 3117, 3639, 7977, 0};
static int joe_kuo_d6_initial_number01433[] = {1, 1, 1, 13, 3, 63, 121, 247, 151, 673, 609, 285, 2299, 7663, 0};
static int joe_kuo_d6_initial_number01434[] = {1, 3, 7, 11, 17, 13, 49, 253, 245, 21, 273, 993, 911, 863, 0};
static int joe_kuo_d6_initial_number01435[] = {1, 1, 5, 5, 23, 1, 121, 95, 225, 9, 1237, 1183, 6461, 559, 0};
static int joe_kuo_d6_initial_number01436[] = {1, 3, 7, 13, 3, 7, 121, 151, 233, 561, 281, 3583, 897, 1767, 0};
static int joe_kuo_d6_initial_number01437[] = {1, 1, 7, 7, 9, 47, 107, 41, 25, 569, 1697, 2299, 6231, 12209, 0};
static int joe_kuo_d6_initial_number01438[] = {1, 3, 7, 7, 27, 43, 59, 37, 31, 51, 503, 149, 4043, 11847, 0};
static int joe_kuo_d6_initial_number01439[] = {1, 3, 3, 11, 5, 1, 119, 181, 47, 641, 685, 4017, 637, 16251, 0};
static int joe_kuo_d6_initial_number01440[] = {1, 3, 3, 7, 11, 1, 101, 7, 239, 747, 307, 1721, 5979, 4367, 0};
static int joe_kuo_d6_initial_number01441[] = {1, 3, 5, 7, 1, 63, 19, 151, 469, 333, 1587, 2453, 897, 4711, 0};
static int joe_kuo_d6_initial_number01442[] = {1, 3, 1, 5, 11, 61, 21, 253, 91, 993, 1347, 1993, 5607, 13031, 0};
static int joe_kuo_d6_initial_number01443[] = {1, 3, 5, 5, 1, 39, 65, 71, 189, 389, 1437, 1055, 6439, 3989, 0};
static int joe_kuo_d6_initial_number01444[] = {1, 1, 3, 3, 19, 15, 93, 3, 339, 165, 1675, 3953, 2145, 12113, 0};
static int joe_kuo_d6_initial_number01445[] = {1, 1, 3, 13, 13, 45, 5, 175, 211, 993, 705, 2761, 3023, 13633, 0};
static int joe_kuo_d6_initial_number01446[] = {1, 1, 3, 1, 19, 39, 121, 29, 287, 87, 281, 3491, 7107, 13007, 0};
static int joe_kuo_d6_initial_number01447[] = {1, 1, 7, 1, 29, 49, 103, 187, 39, 923, 51, 1533, 3249, 4399, 0};
static int joe_kuo_d6_initial_number01448[] = {1, 1, 5, 5, 5, 43, 25, 107, 453, 955, 115, 57, 4589, 14573, 0};
static int joe_kuo_d6_initial_number01449[] = {1, 1, 3, 5, 21, 45, 103, 99, 183, 987, 1207, 1697, 8033, 13703, 0};
static int joe_kuo_d6_initial_number01450[] = {1, 1, 5, 7, 11, 23, 9, 17, 261, 749, 1957, 935, 6283, 8625, 0};
static int joe_kuo_d6_initial_number01451[] = {1, 1, 1, 9, 9, 51, 69, 225, 265, 323, 1161, 2993, 7305, 2249, 0};
static int joe_kuo_d6_initial_number01452[] = {1, 3, 1, 9, 23, 19, 57, 205, 503, 489, 1499, 3277, 817, 11931, 0};
static int joe_kuo_d6_initial_number01453[] = {1, 3, 3, 5, 1, 7, 49, 1, 313, 123, 643, 2027, 1469, 3585, 0};
static int joe_kuo_d6_initial_number01454[] = {1, 3, 7, 11, 27, 47, 95, 111, 27, 213, 465, 3693, 3661, 7531, 0};
static int joe_kuo_d6_initial_number01455[] = {1, 1, 7, 9, 3, 37, 115, 189, 31, 613, 1393, 1229, 4767, 12425, 0};
static int joe_kuo_d6_initial_number01456[] = {1, 1, 3, 3, 25, 17, 99, 47, 161, 931, 959, 1293, 7095, 8325, 0};
static int joe_kuo_d6_initial_number01457[] = {1, 1, 1, 7, 23, 9, 11, 51, 205, 419, 479, 1497, 2493, 13921, 0};
static int joe_kuo_d6_initial_number01458[] = {1, 3, 1, 9, 17, 29, 51, 79, 159, 435, 477, 413, 3815, 5589, 0};
static int joe_kuo_d6_initial_number01459[] = {1, 3, 7, 5, 7, 23, 99, 43, 169, 665, 403, 1163, 4337, 1335, 0};
static int joe_kuo_d6_initial_number01460[] = {1, 3, 1, 5, 25, 27, 125, 249, 421, 267, 1259, 4089, 59, 9377, 0};
static int joe_kuo_d6_initial_number01461[] = {1, 3, 3, 1, 27, 37, 91, 17, 123, 597, 1749, 3449, 6503, 11043, 0};
static int joe_kuo_d6_initial_number01462[] = {1, 3, 7, 7, 23, 41, 19, 245, 109, 569, 547, 1917, 7943, 2697, 0};
static int joe_kuo_d6_initial_number01463[] = {1, 3, 7, 7, 9, 1, 123, 105, 329, 435, 2013, 2745, 347, 11045, 0};
static int joe_kuo_d6_initial_number01464[] = {1, 1, 1, 13, 29, 53, 51, 67, 105, 89, 1887, 3543, 963, 8159, 0};
static int joe_kuo_d6_initial_number01465[] = {1, 1, 5, 3, 5, 27, 41, 67, 67, 883, 973, 1785, 901, 14969, 0};
static int joe_kuo_d6_initial_number01466[] = {1, 3, 3, 13, 17, 11, 117, 115, 163, 939, 79, 641, 4365, 2267, 0};
static int joe_kuo_d6_initial_number01467[] = {1, 1, 3, 3, 9, 5, 41, 123, 149, 9, 1533, 3939, 5995, 12701, 0};
static int joe_kuo_d6_initial_number01468[] = {1, 1, 1, 15, 31, 1, 101, 229, 191, 965, 61, 2671, 4177, 15779, 0};
static int joe_kuo_d6_initial_number01469[] = {1, 1, 5, 15, 1, 25, 49, 185, 33, 697, 1043, 2639, 7819, 3171, 0};
static int joe_kuo_d6_initial_number01470[] = {1, 3, 5, 13, 19, 9, 111, 49, 47, 847, 1865, 717, 5287, 13417, 0};
static int joe_kuo_d6_initial_number01471[] = {1, 3, 7, 11, 5, 61, 63, 111, 171, 735, 2003, 73, 5701, 647, 0};
static int joe_kuo_d6_initial_number01472[] = {1, 3, 1, 11, 1, 49, 121, 79, 431, 671, 1241, 1161, 2057, 263, 0};
static int joe_kuo_d6_initial_number01473[] = {1, 3, 3, 1, 1, 23, 75, 15, 117, 641, 313, 1525, 2041, 1409, 0};
static int joe_kuo_d6_initial_number01474[] = {1, 3, 5, 11, 15, 57, 13, 67, 139, 131, 1339, 2419, 7945, 11877, 0};
static int joe_kuo_d6_initial_number01475[] = {1, 3, 1, 1, 19, 39, 97, 83, 297, 595, 1611, 5, 4753, 3435, 0};
static int joe_kuo_d6_initial_number01476[] = {1, 3, 1, 9, 7, 49, 125, 101, 383, 717, 63, 2295, 3873, 13461, 0};
static int joe_kuo_d6_initial_number01477[] = {1, 1, 3, 3, 15, 29, 89, 77, 269, 689, 229, 1207, 7311, 8663, 0};
static int joe_kuo_d6_initial_number01478[] = {1, 1, 1, 1, 1, 61, 25, 255, 203, 233, 271, 987, 2277, 8735, 0};
static int joe_kuo_d6_initial_number01479[] = {1, 1, 5, 7, 21, 27, 63, 79, 337, 133, 1453, 3633, 6157, 15875, 0};
static int joe_kuo_d6_initial_number01480[] = {1, 3, 1, 7, 7, 55, 31, 81, 203, 709, 1743, 1677, 4247, 11411, 0};
static int joe_kuo_d6_initial_number01481[] = {1, 1, 3, 3, 29, 51, 37, 17, 487, 325, 1393, 1433, 3467, 2851, 0};
static int joe_kuo_d6_initial_number01482[] = {1, 1, 7, 9, 3, 41, 99, 177, 241, 869, 739, 2729, 4585, 14801, 0};
static int joe_kuo_d6_initial_number01483[] = {1, 1, 3, 1, 9, 43, 97, 65, 99, 295, 1693, 2083, 3241, 4073, 0};
static int joe_kuo_d6_initial_number01484[] = {1, 1, 1, 9, 5, 39, 67, 119, 235, 543, 795, 2773, 3195, 6273, 0};
static int joe_kuo_d6_initial_number01485[] = {1, 1, 5, 5, 21, 41, 89, 1, 85, 81, 57, 2951, 1531, 10101, 0};
static int joe_kuo_d6_initial_number01486[] = {1, 1, 1, 7, 3, 35, 127, 69, 39, 265, 1643, 2973, 267, 12365, 0};
static int joe_kuo_d6_initial_number01487[] = {1, 3, 1, 1, 21, 57, 99, 205, 119, 477, 1771, 1989, 2761, 12573, 0};
static int joe_kuo_d6_initial_number01488[] = {1, 1, 3, 13, 1, 59, 93, 125, 279, 935, 1877, 2061, 4845, 7835, 0};
static int joe_kuo_d6_initial_number01489[] = {1, 1, 7, 9, 7, 45, 69, 99, 273, 35, 1579, 2137, 7175, 6999, 0};
static int joe_kuo_d6_initial_number01490[] = {1, 1, 7, 7, 29, 21, 127, 91, 9, 383, 787, 1783, 601, 5047, 0};
static int joe_kuo_d6_initial_number01491[] = {1, 1, 7, 13, 7, 29, 35, 219, 43, 581, 2043, 2211, 6169, 12173, 0};
static int joe_kuo_d6_initial_number01492[] = {1, 3, 5, 13, 29, 29, 39, 63, 411, 645, 415, 2383, 1989, 11411, 0};
static int joe_kuo_d6_initial_number01493[] = {1, 1, 7, 9, 15, 9, 87, 95, 321, 709, 543, 3831, 2453, 4167, 0};
static int joe_kuo_d6_initial_number01494[] = {1, 3, 1, 5, 31, 25, 5, 85, 239, 487, 1613, 3937, 4661, 3535, 0};
static int joe_kuo_d6_initial_number01495[] = {1, 3, 5, 11, 27, 41, 3, 201, 39, 91, 1997, 237, 5639, 14703, 0};
static int joe_kuo_d6_initial_number01496[] = {1, 1, 7, 3, 27, 49, 87, 71, 473, 247, 1007, 47, 475, 5413, 0};
static int joe_kuo_d6_initial_number01497[] = {1, 3, 7, 15, 9, 57, 81, 149, 287, 333, 1911, 3417, 1081, 8995, 0};
static int joe_kuo_d6_initial_number01498[] = {1, 1, 5, 1, 3, 63, 43, 151, 97, 431, 961, 1019, 5153, 2407, 0};
static int joe_kuo_d6_initial_number01499[] = {1, 1, 5, 5, 27, 21, 127, 161, 507, 311, 129, 3489, 1133, 3241, 0};
static int joe_kuo_d6_initial_number01500[] = {1, 3, 7, 15, 21, 33, 117, 83, 497, 667, 1399, 931, 1695, 8171, 0};
static int joe_kuo_d6_initial_number01501[] = {1, 1, 1, 13, 3, 39, 53, 27, 193, 993, 671, 1871, 7579, 11457, 0};
static int joe_kuo_d6_initial_number01502[] = {1, 1, 5, 11, 7, 39, 81, 107, 195, 387, 849, 395, 1317, 6487, 0};
static int joe_kuo_d6_initial_number01503[] = {1, 3, 3, 3, 3, 15, 45, 127, 279, 111, 331, 357, 4637, 4697, 0};
static int joe_kuo_d6_initial_number01504[] = {1, 1, 3, 9, 21, 49, 47, 97, 61, 101, 181, 1867, 1201, 14099, 0};
static int joe_kuo_d6_initial_number01505[] = {1, 1, 5, 11, 25, 19, 51, 51, 101, 451, 545, 101, 7497, 9141, 0};
static int joe_kuo_d6_initial_number01506[] = {1, 1, 1, 3, 13, 53, 119, 81, 377, 245, 765, 251, 3757, 16045, 0};
static int joe_kuo_d6_initial_number01507[] = {1, 1, 1, 3, 5, 61, 65, 37, 331, 925, 1439, 3219, 2843, 11397, 0};
static int joe_kuo_d6_initial_number01508[] = {1, 3, 5, 9, 23, 31, 95, 155, 83, 641, 1129, 135, 477, 1623, 0};
static int joe_kuo_d6_initial_number01509[] = {1, 1, 3, 9, 9, 61, 93, 11, 331, 585, 799, 1417, 1533, 463, 0};
static int joe_kuo_d6_initial_number01510[] = {1, 1, 7, 7, 21, 51, 61, 29, 467, 935, 11, 3357, 1087, 12337, 0};
static int joe_kuo_d6_initial_number01511[] = {1, 3, 3, 11, 1, 39, 103, 153, 351, 893, 1823, 835, 2149, 4203, 0};
static int joe_kuo_d6_initial_number01512[] = {1, 1, 1, 9, 31, 13, 61, 235, 369, 359, 835, 2067, 2697, 15289, 0};
static int joe_kuo_d6_initial_number01513[] = {1, 1, 7, 1, 15, 1, 107, 27, 201, 451, 1521, 313, 3195, 3847, 0};
static int joe_kuo_d6_initial_number01514[] = {1, 1, 5, 13, 1, 27, 63, 137, 355, 489, 2039, 1015, 2519, 13797, 0};
static int joe_kuo_d6_initial_number01515[] = {1, 1, 7, 9, 29, 33, 23, 197, 49, 555, 1087, 3447, 7299, 15513, 0};
static int joe_kuo_d6_initial_number01516[] = {1, 3, 5, 11, 7, 37, 55, 63, 443, 573, 1715, 631, 3405, 6155, 0};
static int joe_kuo_d6_initial_number01517[] = {1, 3, 3, 3, 31, 35, 51, 167, 225, 617, 2007, 2555, 6819, 12709, 0};
static int joe_kuo_d6_initial_number01518[] = {1, 1, 1, 13, 15, 5, 73, 85, 109, 43, 1067, 3941, 1125, 10269, 0};
static int joe_kuo_d6_initial_number01519[] = {1, 1, 7, 11, 17, 3, 127, 145, 279, 19, 1007, 3287, 4751, 12507, 0};
static int joe_kuo_d6_initial_number01520[] = {1, 3, 7, 3, 19, 1, 117, 111, 193, 435, 47, 1801, 529, 8547, 0};
static int joe_kuo_d6_initial_number01521[] = {1, 3, 3, 13, 1, 19, 101, 19, 469, 187, 207, 1243, 8153, 3273, 0};
static int joe_kuo_d6_initial_number01522[] = {1, 3, 1, 5, 11, 51, 69, 189, 453, 775, 241, 3331, 4067, 14759, 0};
static int joe_kuo_d6_initial_number01523[] = {1, 1, 1, 1, 23, 55, 113, 133, 497, 731, 391, 2777, 3529, 955, 0};
static int joe_kuo_d6_initial_number01524[] = {1, 3, 1, 11, 5, 49, 59, 35, 261, 949, 325, 3595, 7433, 11099, 0};
static int joe_kuo_d6_initial_number01525[] = {1, 3, 5, 9, 13, 37, 103, 219, 329, 865, 1787, 2497, 7249, 9877, 0};
static int joe_kuo_d6_initial_number01526[] = {1, 3, 7, 9, 11, 33, 19, 255, 191, 935, 1115, 1901, 1577, 9623, 0};
static int joe_kuo_d6_initial_number01527[] = {1, 1, 5, 7, 29, 23, 77, 43, 283, 143, 1211, 73, 2835, 10235, 0};
static int joe_kuo_d6_initial_number01528[] = {1, 1, 7, 3, 3, 27, 35, 173, 453, 425, 1225, 3023, 2159, 8433, 0};
static int joe_kuo_d6_initial_number01529[] = {1, 1, 1, 5, 27, 21, 35, 25, 71, 145, 1545, 523, 4527, 7655, 0};
static int joe_kuo_d6_initial_number01530[] = {1, 1, 5, 3, 13, 49, 61, 157, 113, 775, 763, 1785, 225, 11851, 0};
static int joe_kuo_d6_initial_number01531[] = {1, 1, 3, 1, 31, 57, 97, 229, 291, 777, 213, 4067, 921, 8203, 0};
static int joe_kuo_d6_initial_number01532[] = {1, 1, 5, 1, 25, 13, 125, 123, 263, 207, 119, 3111, 3841, 843, 0};
static int joe_kuo_d6_initial_number01533[] = {1, 1, 7, 7, 25, 57, 81, 129, 31, 133, 1869, 2949, 5563, 14965, 0};
static int joe_kuo_d6_initial_number01534[] = {1, 3, 3, 7, 3, 51, 33, 127, 281, 425, 1253, 405, 7941, 8799, 0};
static int joe_kuo_d6_initial_number01535[] = {1, 1, 3, 9, 3, 63, 93, 173, 255, 609, 49, 111, 7785, 15865, 0};
static int joe_kuo_d6_initial_number01536[] = {1, 1, 1, 3, 17, 59, 113, 55, 155, 789, 1335, 177, 3071, 1851, 0};
static int joe_kuo_d6_initial_number01537[] = {1, 3, 7, 15, 15, 23, 35, 35, 131, 623, 47, 437, 1337, 9891, 0};
static int joe_kuo_d6_initial_number01538[] = {1, 3, 7, 5, 29, 57, 39, 31, 111, 271, 59, 1473, 949, 3899, 0};
static int joe_kuo_d6_initial_number01539[] = {1, 1, 3, 11, 17, 19, 41, 229, 259, 691, 1455, 3023, 7455, 9711, 0};
static int joe_kuo_d6_initial_number01540[] = {1, 3, 5, 11, 29, 13, 9, 165, 499, 355, 1415, 1395, 7595, 15571, 0};
static int joe_kuo_d6_initial_number01541[] = {1, 3, 1, 9, 5, 5, 25, 247, 185, 241, 1325, 3133, 7471, 2649, 0};
static int joe_kuo_d6_initial_number01542[] = {1, 3, 3, 11, 17, 29, 57, 61, 51, 203, 993, 1837, 3785, 15163, 0};
static int joe_kuo_d6_initial_number01543[] = {1, 1, 7, 7, 21, 57, 79, 165, 277, 133, 93, 1055, 7169, 15685, 0};
static int joe_kuo_d6_initial_number01544[] = {1, 1, 5, 3, 5, 17, 25, 177, 95, 323, 367, 1359, 4915, 6409, 0};
static int joe_kuo_d6_initial_number01545[] = {1, 1, 1, 1, 11, 25, 115, 45, 373, 221, 1483, 591, 6561, 4527, 0};
static int joe_kuo_d6_initial_number01546[] = {1, 3, 5, 3, 5, 23, 69, 77, 313, 473, 1037, 4045, 3969, 5445, 0};
static int joe_kuo_d6_initial_number01547[] = {1, 3, 1, 5, 1, 15, 73, 83, 439, 463, 203, 361, 6835, 1061, 0};
static int joe_kuo_d6_initial_number01548[] = {1, 1, 3, 11, 21, 5, 89, 233, 405, 253, 773, 3901, 6085, 5677, 0};
static int joe_kuo_d6_initial_number01549[] = {1, 1, 3, 9, 15, 53, 71, 29, 101, 599, 1073, 705, 4507, 12779, 0};
static int joe_kuo_d6_initial_number01550[] = {1, 1, 3, 1, 3, 9, 27, 97, 207, 859, 417, 735, 2179, 5071, 0};
static int joe_kuo_d6_initial_number01551[] = {1, 1, 1, 3, 13, 63, 65, 125, 195, 611, 649, 2221, 3143, 143, 0};
static int joe_kuo_d6_initial_number01552[] = {1, 3, 3, 15, 17, 57, 99, 119, 243, 407, 1229, 813, 5245, 1893, 0};
static int joe_kuo_d6_initial_number01553[] = {1, 1, 1, 5, 27, 27, 49, 13, 313, 287, 473, 2629, 3509, 11371, 0};
static int joe_kuo_d6_initial_number01554[] = {1, 1, 7, 7, 23, 3, 75, 59, 245, 689, 1215, 2375, 3325, 1593, 0};
static int joe_kuo_d6_initial_number01555[] = {1, 3, 1, 5, 21, 51, 43, 107, 91, 611, 1405, 677, 2087, 9565, 0};
static int joe_kuo_d6_initial_number01556[] = {1, 3, 7, 11, 9, 27, 81, 101, 449, 201, 1507, 2217, 6767, 8059, 0};
static int joe_kuo_d6_initial_number01557[] = {1, 1, 3, 9, 13, 41, 21, 195, 421, 315, 347, 2621, 2359, 9247, 0};
static int joe_kuo_d6_initial_number01558[] = {1, 1, 5, 7, 31, 45, 77, 229, 455, 575, 1087, 1147, 2273, 13773, 0};
static int joe_kuo_d6_initial_number01559[] = {1, 1, 1, 1, 9, 5, 87, 19, 207, 545, 1435, 495, 1299, 4947, 0};
static int joe_kuo_d6_initial_number01560[] = {1, 1, 3, 3, 15, 9, 63, 67, 219, 735, 1911, 2361, 6503, 11977, 0};
static int joe_kuo_d6_initial_number01561[] = {1, 3, 1, 9, 31, 27, 103, 153, 81, 939, 461, 2753, 697, 537, 0};
static int joe_kuo_d6_initial_number01562[] = {1, 3, 3, 9, 21, 53, 49, 211, 415, 817, 321, 3775, 2921, 9473, 0};
static int joe_kuo_d6_initial_number01563[] = {1, 1, 7, 3, 23, 55, 15, 51, 435, 1013, 73, 3967, 4575, 13099, 0};
static int joe_kuo_d6_initial_number01564[] = {1, 1, 3, 7, 5, 27, 43, 225, 267, 21, 1261, 603, 6913, 4421, 0};
static int joe_kuo_d6_initial_number01565[] = {1, 1, 7, 13, 25, 31, 101, 109, 237, 91, 1587, 1987, 2795, 6991, 0};
static int joe_kuo_d6_initial_number01566[] = {1, 1, 3, 13, 23, 51, 91, 89, 287, 39, 1513, 463, 6135, 10469, 0};
static int joe_kuo_d6_initial_number01567[] = {1, 3, 3, 1, 9, 43, 125, 157, 369, 495, 1849, 785, 6357, 6557, 0};
static int joe_kuo_d6_initial_number01568[] = {1, 3, 1, 13, 5, 25, 107, 139, 367, 239, 1671, 1239, 7027, 5291, 0};
static int joe_kuo_d6_initial_number01569[] = {1, 3, 5, 13, 11, 13, 35, 177, 45, 939, 251, 59, 333, 13105, 0};
static int joe_kuo_d6_initial_number01570[] = {1, 3, 5, 7, 29, 57, 109, 227, 435, 739, 423, 1941, 3345, 12731, 0};
static int joe_kuo_d6_initial_number01571[] = {1, 3, 3, 9, 23, 51, 19, 207, 69, 99, 955, 519, 7305, 2415, 0};
static int joe_kuo_d6_initial_number01572[] = {1, 1, 5, 13, 17, 1, 67, 201, 61, 403, 1059, 2915, 2419, 12773, 0};
static int joe_kuo_d6_initial_number01573[] = {1, 3, 1, 11, 17, 19, 25, 27, 207, 299, 143, 1955, 5669, 2301, 0};
static int joe_kuo_d6_initial_number01574[] = {1, 1, 5, 3, 25, 57, 45, 255, 489, 1011, 1699, 2637, 5279, 12211, 0};
static int joe_kuo_d6_initial_number01575[] = {1, 3, 3, 15, 7, 47, 113, 33, 511, 907, 1815, 1741, 2091, 13857, 0};
static int joe_kuo_d6_initial_number01576[] = {1, 3, 3, 5, 5, 27, 95, 3, 353, 253, 947, 393, 1815, 14551, 0};
static int joe_kuo_d6_initial_number01577[] = {1, 1, 5, 11, 29, 19, 63, 117, 293, 861, 2039, 9, 5999, 6909, 0};
static int joe_kuo_d6_initial_number01578[] = {1, 3, 7, 3, 15, 63, 107, 173, 509, 817, 99, 2825, 131, 7917, 0};
static int joe_kuo_d6_initial_number01579[] = {1, 3, 1, 1, 29, 49, 33, 153, 119, 777, 1315, 3581, 5675, 4043, 0};
static int joe_kuo_d6_initial_number01580[] = {1, 3, 5, 15, 13, 11, 17, 147, 327, 305, 367, 3237, 5423, 13757, 0};
static int joe_kuo_d6_initial_number01581[] = {1, 1, 5, 13, 1, 39, 35, 29, 25, 751, 1365, 2243, 8181, 7063, 0};
static int joe_kuo_d6_initial_number01582[] = {1, 3, 7, 11, 25, 53, 11, 111, 289, 755, 1201, 691, 3679, 3725, 0};
static int joe_kuo_d6_initial_number01583[] = {1, 1, 1, 11, 11, 37, 33, 211, 395, 691, 1817, 861, 6485, 12077, 0};
static int joe_kuo_d6_initial_number01584[] = {1, 3, 3, 11, 21, 3, 111, 171, 305, 561, 1501, 2011, 7841, 10931, 0};
static int joe_kuo_d6_initial_number01585[] = {1, 3, 7, 9, 9, 59, 109, 113, 31, 915, 103, 1861, 2779, 10619, 0};
static int joe_kuo_d6_initial_number01586[] = {1, 1, 1, 1, 7, 25, 61, 97, 103, 723, 1145, 3105, 371, 339, 0};
static int joe_kuo_d6_initial_number01587[] = {1, 1, 7, 13, 17, 9, 113, 51, 233, 209, 1117, 211, 6969, 2347, 0};
static int joe_kuo_d6_initial_number01588[] = {1, 1, 5, 9, 25, 43, 21, 217, 327, 735, 197, 1063, 799, 801, 0};
static int joe_kuo_d6_initial_number01589[] = {1, 1, 7, 13, 9, 13, 73, 33, 415, 923, 863, 1999, 5383, 8119, 0};
static int joe_kuo_d6_initial_number01590[] = {1, 3, 1, 5, 7, 33, 51, 185, 289, 967, 1277, 1011, 767, 15505, 0};
static int joe_kuo_d6_initial_number01591[] = {1, 3, 3, 13, 21, 11, 105, 235, 343, 1021, 2009, 2251, 3865, 6923, 0};
static int joe_kuo_d6_initial_number01592[] = {1, 3, 5, 9, 29, 11, 33, 17, 149, 155, 1739, 3039, 7015, 2401, 0};
static int joe_kuo_d6_initial_number01593[] = {1, 3, 7, 7, 17, 13, 89, 177, 297, 267, 545, 3861, 329, 13267, 0};
static int joe_kuo_d6_initial_number01594[] = {1, 3, 5, 15, 27, 33, 1, 231, 181, 557, 447, 379, 7845, 1295, 0};
static int joe_kuo_d6_initial_number01595[] = {1, 1, 5, 13, 3, 63, 59, 33, 263, 877, 1867, 1383, 641, 7139, 0};
static int joe_kuo_d6_initial_number01596[] = {1, 3, 7, 5, 13, 51, 9, 113, 223, 605, 1189, 4063, 6925, 9563, 0};
static int joe_kuo_d6_initial_number01597[] = {1, 1, 1, 13, 5, 35, 83, 107, 295, 231, 265, 5, 4087, 6407, 0};
static int joe_kuo_d6_initial_number01598[] = {1, 1, 5, 1, 7, 25, 95, 137, 97, 987, 1753, 2781, 1369, 6903, 0};
static int joe_kuo_d6_initial_number01599[] = {1, 1, 5, 13, 19, 61, 77, 229, 193, 165, 811, 249, 79, 10719, 0};
static int joe_kuo_d6_initial_number01600[] = {1, 3, 7, 7, 27, 9, 119, 193, 459, 43, 1989, 2959, 3595, 6341, 0};
static int joe_kuo_d6_initial_number01601[] = {1, 1, 5, 11, 5, 43, 35, 33, 25, 581, 897, 351, 4201, 3971, 0};
static int joe_kuo_d6_initial_number01602[] = {1, 1, 7, 11, 21, 29, 53, 45, 359, 197, 313, 3825, 6717, 4077, 0};
static int joe_kuo_d6_initial_number01603[] = {1, 1, 1, 15, 3, 45, 99, 133, 357, 315, 1159, 241, 2463, 11253, 0};
static int joe_kuo_d6_initial_number01604[] = {1, 1, 7, 11, 9, 33, 111, 85, 443, 601, 447, 337, 6471, 7029, 0};
static int joe_kuo_d6_initial_number01605[] = {1, 3, 7, 9, 13, 33, 25, 31, 9, 729, 1763, 4077, 7575, 7877, 0};
static int joe_kuo_d6_initial_number01606[] = {1, 3, 5, 13, 13, 37, 29, 103, 53, 229, 591, 1073, 1323, 14405, 0};
static int joe_kuo_d6_initial_number01607[] = {1, 1, 5, 1, 17, 33, 15, 183, 473, 297, 2003, 93, 4955, 1787, 0};
static int joe_kuo_d6_initial_number01608[] = {1, 1, 5, 13, 5, 29, 113, 161, 267, 451, 1193, 149, 273, 11809, 0};
static int joe_kuo_d6_initial_number01609[] = {1, 1, 1, 9, 17, 39, 47, 233, 165, 373, 955, 2891, 7523, 7235, 0};
static int joe_kuo_d6_initial_number01610[] = {1, 1, 1, 3, 7, 21, 115, 205, 153, 449, 339, 2073, 1077, 5749, 0};
static int joe_kuo_d6_initial_number01611[] = {1, 1, 7, 13, 9, 39, 117, 187, 37, 753, 227, 3519, 7391, 5751, 0};
static int joe_kuo_d6_initial_number01612[] = {1, 1, 1, 9, 5, 19, 41, 161, 141, 195, 1719, 3321, 5, 12877, 0};
static int joe_kuo_d6_initial_number01613[] = {1, 3, 7, 11, 21, 13, 83, 55, 299, 75, 1905, 3765, 4685, 12297, 0};
static int joe_kuo_d6_initial_number01614[] = {1, 1, 7, 3, 3, 23, 111, 243, 187, 297, 1061, 2515, 977, 9555, 0};
static int joe_kuo_d6_initial_number01615[] = {1, 3, 7, 3, 29, 11, 103, 177, 225, 875, 1649, 1401, 6383, 8309, 0};
static int joe_kuo_d6_initial_number01616[] = {1, 3, 5, 3, 3, 41, 71, 3, 373, 757, 701, 2825, 1521, 13217, 0};
static int joe_kuo_d6_initial_number01617[] = {1, 1, 5, 3, 11, 5, 103, 227, 209, 723, 1543, 3895, 6345, 7901, 0};
static int joe_kuo_d6_initial_number01618[] = {1, 1, 5, 1, 9, 51, 77, 67, 359, 937, 557, 993, 3871, 3577, 0};
static int joe_kuo_d6_initial_number01619[] = {1, 3, 7, 1, 1, 15, 121, 239, 29, 113, 1123, 3877, 6941, 14129, 0};
static int joe_kuo_d6_initial_number01620[] = {1, 1, 5, 1, 27, 61, 83, 113, 185, 601, 947, 3933, 381, 13869, 0};
static int joe_kuo_d6_initial_number01621[] = {1, 1, 5, 3, 5, 37, 97, 31, 81, 367, 747, 1811, 5313, 14151, 0};
static int joe_kuo_d6_initial_number01622[] = {1, 3, 5, 9, 27, 61, 87, 31, 185, 521, 837, 959, 5001, 3957, 0};
static int joe_kuo_d6_initial_number01623[] = {1, 3, 5, 3, 11, 61, 37, 19, 107, 749, 1345, 3829, 6701, 4315, 0};
static int joe_kuo_d6_initial_number01624[] = {1, 3, 1, 15, 13, 45, 101, 113, 243, 963, 1861, 3283, 1419, 12131, 0};
static int joe_kuo_d6_initial_number01625[] = {1, 1, 7, 1, 11, 63, 17, 117, 271, 819, 677, 669, 1991, 12511, 0};
static int joe_kuo_d6_initial_number01626[] = {1, 1, 1, 13, 13, 33, 41, 73, 187, 537, 993, 3147, 1013, 16063, 0};
static int joe_kuo_d6_initial_number01627[] = {1, 3, 1, 1, 25, 21, 107, 81, 117, 917, 113, 349, 4475, 9149, 0};
static int joe_kuo_d6_initial_number01628[] = {1, 1, 1, 11, 21, 21, 29, 251, 125, 681, 141, 2893, 5843, 14359, 0};
static int joe_kuo_d6_initial_number01629[] = {1, 3, 3, 1, 5, 41, 85, 163, 387, 29, 1593, 221, 2769, 10809, 0};
static int joe_kuo_d6_initial_number01630[] = {1, 3, 5, 11, 1, 17, 69, 127, 273, 449, 1855, 2971, 7031, 10583, 0};
static int joe_kuo_d6_initial_number01631[] = {1, 1, 5, 7, 1, 61, 9, 211, 123, 563, 111, 1883, 5801, 2191, 0};
static int joe_kuo_d6_initial_number01632[] = {1, 1, 3, 11, 11, 51, 1, 81, 405, 803, 2017, 161, 5429, 731, 0};
static int joe_kuo_d6_initial_number01633[] = {1, 1, 7, 9, 15, 55, 65, 51, 459, 485, 1539, 3135, 2929, 7867, 0};
static int joe_kuo_d6_initial_number01634[] = {1, 1, 7, 11, 3, 45, 15, 7, 331, 417, 1813, 4009, 1341, 10965, 0};
static int joe_kuo_d6_initial_number01635[] = {1, 1, 1, 5, 9, 29, 89, 121, 277, 509, 1989, 1293, 4787, 16097, 0};
static int joe_kuo_d6_initial_number01636[] = {1, 1, 3, 9, 17, 45, 97, 197, 339, 943, 1377, 2947, 5833, 7, 0};
static int joe_kuo_d6_initial_number01637[] = {1, 1, 7, 9, 15, 61, 75, 233, 401, 705, 825, 2521, 3787, 14387, 0};
static int joe_kuo_d6_initial_number01638[] = {1, 1, 7, 15, 25, 57, 3, 43, 361, 459, 1551, 1859, 6787, 2293, 0};
static int joe_kuo_d6_initial_number01639[] = {1, 3, 3, 11, 11, 35, 91, 65, 43, 509, 1829, 1149, 4801, 4109, 0};
static int joe_kuo_d6_initial_number01640[] = {1, 3, 5, 9, 15, 3, 81, 109, 231, 481, 417, 2505, 315, 6693, 0};
static int joe_kuo_d6_initial_number01641[] = {1, 1, 3, 9, 3, 7, 107, 221, 297, 543, 149, 579, 927, 79, 0};
static int joe_kuo_d6_initial_number01642[] = {1, 3, 1, 11, 17, 3, 81, 137, 157, 587, 741, 1277, 2631, 3953, 0};
static int joe_kuo_d6_initial_number01643[] = {1, 1, 7, 5, 13, 43, 117, 19, 495, 185, 1105, 605, 5249, 11099, 0};
static int joe_kuo_d6_initial_number01644[] = {1, 1, 7, 9, 23, 55, 91, 213, 21, 779, 857, 2047, 7813, 10053, 0};
static int joe_kuo_d6_initial_number01645[] = {1, 1, 1, 1, 27, 7, 39, 181, 63, 519, 1073, 3147, 4111, 363, 0};
static int joe_kuo_d6_initial_number01646[] = {1, 3, 7, 9, 15, 61, 7, 139, 495, 805, 1545, 3789, 2411, 3989, 0};
static int joe_kuo_d6_initial_number01647[] = {1, 1, 3, 1, 25, 11, 23, 241, 167, 607, 479, 153, 7787, 13929, 0};
static int joe_kuo_d6_initial_number01648[] = {1, 3, 5, 15, 29, 35, 45, 71, 457, 297, 883, 3021, 5361, 15427, 0};
static int joe_kuo_d6_initial_number01649[] = {1, 3, 1, 7, 29, 27, 93, 241, 427, 89, 1185, 37, 3863, 14095, 0};
static int joe_kuo_d6_initial_number01650[] = {1, 3, 1, 5, 5, 45, 51, 15, 235, 889, 1649, 2331, 2713, 10943, 0};
static int joe_kuo_d6_initial_number01651[] = {1, 1, 3, 11, 11, 15, 71, 85, 135, 163, 139, 1147, 1043, 3195, 0};
static int joe_kuo_d6_initial_number01652[] = {1, 3, 5, 13, 3, 43, 71, 131, 473, 933, 569, 2491, 7751, 1865, 0};
static int joe_kuo_d6_initial_number01653[] = {1, 1, 7, 9, 21, 37, 105, 227, 329, 509, 1319, 307, 1557, 14625, 0};
static int joe_kuo_d6_initial_number01654[] = {1, 1, 3, 13, 15, 1, 25, 93, 335, 953, 769, 4039, 369, 10727, 0};
static int joe_kuo_d6_initial_number01655[] = {1, 3, 7, 5, 17, 21, 59, 89, 437, 679, 437, 1543, 7663, 5005, 0};
static int joe_kuo_d6_initial_number01656[] = {1, 1, 7, 15, 27, 49, 125, 13, 397, 877, 1087, 2191, 4711, 9065, 0};
static int joe_kuo_d6_initial_number01657[] = {1, 1, 7, 5, 15, 47, 115, 125, 187, 31, 1003, 2575, 5397, 3883, 0};
static int joe_kuo_d6_initial_number01658[] = {1, 1, 7, 11, 15, 1, 127, 207, 383, 707, 183, 1053, 3123, 14071, 0};
static int joe_kuo_d6_initial_number01659[] = {1, 3, 3, 1, 31, 53, 15, 19, 477, 245, 777, 1613, 5813, 7443, 0};
static int joe_kuo_d6_initial_number01660[] = {1, 3, 1, 11, 23, 59, 65, 23, 493, 157, 1389, 2833, 4535, 3907, 0};
static int joe_kuo_d6_initial_number01661[] = {1, 1, 7, 1, 19, 7, 51, 135, 327, 441, 1841, 3091, 3451, 14381, 0};
static int joe_kuo_d6_initial_number01662[] = {1, 1, 7, 7, 3, 37, 29, 249, 437, 319, 1693, 945, 7639, 5923, 0};
static int joe_kuo_d6_initial_number01663[] = {1, 3, 7, 15, 7, 61, 81, 127, 383, 99, 23, 3833, 3973, 7651, 0};
static int joe_kuo_d6_initial_number01664[] = {1, 3, 1, 7, 7, 21, 119, 185, 243, 619, 1363, 2033, 4835, 5089, 0};
static int joe_kuo_d6_initial_number01665[] = {1, 3, 1, 1, 3, 27, 63, 145, 271, 735, 695, 3981, 3049, 5433, 0};
static int joe_kuo_d6_initial_number01666[] = {1, 3, 3, 1, 3, 29, 79, 211, 279, 819, 501, 3665, 1455, 10455, 0};
static int joe_kuo_d6_initial_number01667[] = {1, 1, 3, 3, 31, 61, 113, 5, 411, 91, 489, 3257, 5939, 6715, 0};
static int joe_kuo_d6_initial_number01668[] = {1, 1, 5, 1, 23, 11, 103, 89, 377, 441, 43, 967, 3383, 8717, 0};
static int joe_kuo_d6_initial_number01669[] = {1, 1, 5, 13, 29, 39, 97, 189, 197, 621, 1755, 333, 6783, 9711, 0};
static int joe_kuo_d6_initial_number01670[] = {1, 1, 5, 13, 27, 17, 97, 197, 351, 799, 335, 765, 5329, 12549, 0};
static int joe_kuo_d6_initial_number01671[] = {1, 1, 5, 11, 29, 17, 9, 211, 127, 633, 1187, 3965, 4145, 12667, 0};
static int joe_kuo_d6_initial_number01672[] = {1, 1, 7, 5, 27, 29, 65, 115, 287, 325, 461, 5, 899, 2027, 0};
static int joe_kuo_d6_initial_number01673[] = {1, 1, 1, 5, 27, 17, 31, 13, 231, 627, 1163, 649, 1693, 9975, 0};
static int joe_kuo_d6_initial_number01674[] = {1, 3, 1, 15, 7, 49, 113, 123, 427, 603, 347, 2785, 7129, 4645, 0};
static int joe_kuo_d6_initial_number01675[] = {1, 1, 3, 7, 1, 33, 113, 105, 411, 939, 205, 3965, 4361, 4649, 0};
static int joe_kuo_d6_initial_number01676[] = {1, 1, 1, 1, 5, 21, 35, 159, 275, 929, 1193, 3205, 4787, 3515, 0};
static int joe_kuo_d6_initial_number01677[] = {1, 1, 1, 5, 1, 21, 29, 191, 275, 233, 1239, 515, 4349, 14989, 0};
static int joe_kuo_d6_initial_number01678[] = {1, 1, 5, 11, 27, 43, 111, 83, 153, 577, 1537, 149, 231, 839, 0};
static int joe_kuo_d6_initial_number01679[] = {1, 3, 5, 13, 21, 19, 57, 69, 87, 163, 271, 3535, 1057, 8517, 0};
static int joe_kuo_d6_initial_number01680[] = {1, 3, 3, 13, 17, 49, 65, 45, 457, 241, 391, 2033, 2507, 7771, 0};
static int joe_kuo_d6_initial_number01681[] = {1, 1, 5, 7, 11, 19, 79, 133, 341, 761, 27, 3905, 4137, 14363, 0};
static int joe_kuo_d6_initial_number01682[] = {1, 3, 3, 13, 19, 1, 11, 139, 249, 245, 1393, 2151, 2857, 1665, 0};
static int joe_kuo_d6_initial_number01683[] = {1, 1, 3, 15, 11, 7, 127, 47, 385, 1007, 713, 2235, 5489, 8755, 0};
static int joe_kuo_d6_initial_number01684[] = {1, 3, 5, 13, 19, 21, 21, 167, 405, 655, 1653, 889, 7367, 4177, 0};
static int joe_kuo_d6_initial_number01685[] = {1, 1, 5, 3, 19, 63, 99, 39, 89, 415, 951, 2863, 6569, 3797, 0};
static int joe_kuo_d6_initial_number01686[] = {1, 1, 1, 13, 31, 29, 119, 35, 311, 839, 1749, 941, 7487, 2385, 0};
static int joe_kuo_d6_initial_number01687[] = {1, 3, 7, 3, 17, 3, 97, 143, 465, 345, 1457, 2201, 5329, 359, 0};
static int joe_kuo_d6_initial_number01688[] = {1, 3, 7, 11, 1, 15, 3, 115, 335, 567, 1749, 1811, 3491, 15939, 0};
static int joe_kuo_d6_initial_number01689[] = {1, 1, 3, 13, 3, 21, 7, 141, 149, 571, 1877, 473, 2143, 9569, 0};
static int joe_kuo_d6_initial_number01690[] = {1, 3, 3, 11, 23, 61, 47, 179, 297, 453, 181, 3405, 2981, 13409, 0};
static int joe_kuo_d6_initial_number01691[] = {1, 3, 1, 13, 1, 43, 5, 201, 371, 1003, 367, 2709, 7675, 14973, 0};
static int joe_kuo_d6_initial_number01692[] = {1, 3, 3, 15, 29, 17, 19, 241, 495, 317, 1135, 2227, 6457, 4783, 0};
static int joe_kuo_d6_initial_number01693[] = {1, 3, 3, 7, 29, 9, 57, 95, 261, 531, 1717, 3389, 7991, 3793, 0};
static int joe_kuo_d6_initial_number01694[] = {1, 1, 1, 5, 31, 43, 73, 119, 499, 589, 1529, 3337, 4097, 15641, 0};
static int joe_kuo_d6_initial_number01695[] = {1, 1, 7, 9, 29, 43, 127, 91, 243, 979, 1325, 2835, 2787, 9445, 0};
static int joe_kuo_d6_initial_number01696[] = {1, 1, 7, 5, 9, 3, 115, 199, 219, 901, 747, 1077, 3197, 2443, 0};
static int joe_kuo_d6_initial_number01697[] = {1, 3, 5, 1, 3, 43, 7, 117, 297, 313, 1043, 1579, 5099, 13289, 0};
static int joe_kuo_d6_initial_number01698[] = {1, 1, 7, 11, 29, 33, 15, 121, 131, 579, 317, 1871, 1121, 11653, 0};
static int joe_kuo_d6_initial_number01699[] = {1, 1, 5, 9, 25, 25, 43, 89, 355, 1011, 1385, 2901, 6387, 1653, 0};
static int joe_kuo_d6_initial_number01700[] = {1, 1, 1, 9, 5, 47, 61, 165, 85, 757, 1397, 1177, 1657, 4899, 0};
static int joe_kuo_d6_initial_number01701[] = {1, 1, 3, 9, 11, 49, 15, 139, 261, 613, 931, 1299, 2777, 2835, 0};
static int joe_kuo_d6_initial_number01702[] = {1, 1, 1, 5, 3, 55, 83, 227, 125, 581, 1607, 1171, 6681, 14463, 0};
static int joe_kuo_d6_initial_number01703[] = {1, 3, 5, 13, 5, 55, 3, 247, 493, 155, 1073, 3743, 5719, 4019, 0};
static int joe_kuo_d6_initial_number01704[] = {1, 1, 7, 1, 11, 23, 13, 75, 399, 847, 499, 1643, 6977, 3699, 0};
static int joe_kuo_d6_initial_number01705[] = {1, 3, 1, 9, 11, 41, 47, 131, 313, 627, 481, 2469, 3281, 979, 0};
static int joe_kuo_d6_initial_number01706[] = {1, 3, 5, 13, 29, 3, 65, 101, 11, 29, 1807, 153, 1487, 16109, 0};
static int joe_kuo_d6_initial_number01707[] = {1, 1, 5, 9, 13, 31, 83, 195, 351, 355, 467, 3871, 3085, 4441, 0};
static int joe_kuo_d6_initial_number01708[] = {1, 3, 5, 3, 19, 21, 111, 179, 143, 361, 1619, 1547, 3409, 6905, 0};
static int joe_kuo_d6_initial_number01709[] = {1, 1, 5, 9, 31, 1, 93, 199, 491, 135, 1627, 2559, 1389, 14561, 0};
static int joe_kuo_d6_initial_number01710[] = {1, 3, 3, 9, 25, 53, 3, 105, 39, 445, 259, 1045, 1129, 9153, 0};
static int joe_kuo_d6_initial_number01711[] = {1, 1, 5, 9, 19, 63, 71, 9, 73, 435, 1377, 4015, 1821, 6453, 0};
static int joe_kuo_d6_initial_number01712[] = {1, 3, 7, 13, 19, 13, 37, 247, 391, 23, 1491, 1257, 6395, 237, 0};
static int joe_kuo_d6_initial_number01713[] = {1, 1, 3, 3, 19, 55, 109, 23, 227, 747, 729, 2221, 727, 2209, 0};
static int joe_kuo_d6_initial_number01714[] = {1, 1, 5, 11, 25, 21, 75, 37, 219, 355, 1005, 1895, 7039, 5225, 0};
static int joe_kuo_d6_initial_number01715[] = {1, 3, 5, 13, 11, 43, 9, 67, 87, 797, 1077, 245, 4521, 11845, 0};
static int joe_kuo_d6_initial_number01716[] = {1, 3, 5, 3, 15, 29, 127, 237, 277, 373, 1859, 3083, 587, 1123, 0};
static int joe_kuo_d6_initial_number01717[] = {1, 1, 7, 15, 13, 7, 103, 53, 13, 965, 1497, 775, 3439, 1501, 0};
static int joe_kuo_d6_initial_number01718[] = {1, 3, 3, 15, 17, 13, 97, 169, 67, 953, 189, 2739, 1459, 10543, 0};
static int joe_kuo_d6_initial_number01719[] = {1, 1, 5, 1, 17, 39, 15, 127, 327, 989, 1471, 3235, 2801, 15311, 0};
static int joe_kuo_d6_initial_number01720[] = {1, 1, 1, 15, 5, 37, 55, 155, 47, 463, 1851, 3467, 2765, 9359, 0};
static int joe_kuo_d6_initial_number01721[] = {1, 3, 3, 15, 1, 13, 93, 239, 291, 115, 365, 61, 395, 15853, 0};
static int joe_kuo_d6_initial_number01722[] = {1, 1, 5, 1, 19, 27, 61, 95, 105, 369, 1557, 961, 6917, 3621, 0};
static int joe_kuo_d6_initial_number01723[] = {1, 3, 3, 9, 7, 35, 115, 53, 111, 345, 1145, 1687, 3401, 12107, 0};
static int joe_kuo_d6_initial_number01724[] = {1, 1, 1, 5, 7, 31, 63, 19, 373, 79, 1369, 3037, 2835, 4439, 0};
static int joe_kuo_d6_initial_number01725[] = {1, 3, 7, 9, 11, 17, 29, 33, 331, 447, 1981, 3333, 6535, 6557, 0};
static int joe_kuo_d6_initial_number01726[] = {1, 3, 3, 5, 11, 41, 29, 43, 365, 279, 1919, 945, 179, 1987, 0};
static int joe_kuo_d6_initial_number01727[] = {1, 3, 1, 13, 7, 7, 25, 33, 103, 367, 1267, 763, 5691, 8643, 0};
static int joe_kuo_d6_initial_number01728[] = {1, 3, 1, 5, 11, 15, 3, 213, 511, 211, 1069, 4047, 3335, 12729, 0};
static int joe_kuo_d6_initial_number01729[] = {1, 1, 3, 1, 5, 11, 27, 201, 361, 537, 679, 3709, 293, 2997, 0};
static int joe_kuo_d6_initial_number01730[] = {1, 1, 3, 1, 25, 15, 19, 185, 369, 577, 1625, 655, 2363, 3861, 0};
static int joe_kuo_d6_initial_number01731[] = {1, 1, 5, 5, 1, 47, 61, 45, 411, 597, 955, 1007, 3775, 5809, 0};
static int joe_kuo_d6_initial_number01732[] = {1, 1, 5, 3, 27, 51, 101, 167, 429, 333, 1703, 3541, 2947, 3695, 0};
static int joe_kuo_d6_initial_number01733[] = {1, 3, 5, 5, 1, 53, 17, 63, 141, 215, 1223, 3129, 635, 15919, 0};
static int joe_kuo_d6_initial_number01734[] = {1, 3, 3, 1, 23, 31, 25, 11, 195, 241, 995, 3941, 573, 13855, 0};
static int joe_kuo_d6_initial_number01735[] = {1, 3, 3, 7, 17, 13, 71, 203, 465, 479, 1857, 1493, 8067, 7113, 0};
static int joe_kuo_d6_initial_number01736[] = {1, 1, 5, 3, 11, 57, 9, 59, 225, 691, 425, 2423, 6031, 6631, 0};
static int joe_kuo_d6_initial_number01737[] = {1, 3, 7, 1, 29, 57, 103, 123, 401, 807, 471, 2759, 5113, 15937, 0};
static int joe_kuo_d6_initial_number01738[] = {1, 3, 1, 1, 3, 1, 67, 123, 157, 655, 519, 323, 1853, 15041, 0};
static int joe_kuo_d6_initial_number01739[] = {1, 1, 7, 5, 11, 11, 105, 135, 247, 689, 1141, 2347, 7113, 9347, 0};
static int joe_kuo_d6_initial_number01740[] = {1, 1, 3, 11, 15, 37, 87, 3, 209, 575, 1521, 3863, 3893, 211, 0};
static int joe_kuo_d6_initial_number01741[] = {1, 3, 1, 3, 29, 55, 115, 31, 19, 195, 985, 3275, 363, 9801, 0};
static int joe_kuo_d6_initial_number01742[] = {1, 1, 3, 9, 13, 31, 57, 251, 201, 275, 1751, 389, 1463, 13159, 0};
static int joe_kuo_d6_initial_number01743[] = {1, 3, 5, 15, 19, 51, 127, 255, 397, 243, 29, 3007, 7845, 4687, 0};
static int joe_kuo_d6_initial_number01744[] = {1, 1, 7, 15, 9, 37, 39, 217, 509, 137, 1123, 3361, 6323, 5323, 0};
static int joe_kuo_d6_initial_number01745[] = {1, 3, 7, 5, 25, 3, 93, 203, 345, 581, 261, 2811, 4829, 6977, 0};
static int joe_kuo_d6_initial_number01746[] = {1, 1, 7, 1, 15, 41, 51, 227, 447, 893, 1209, 3865, 5229, 4277, 0};
static int joe_kuo_d6_initial_number01747[] = {1, 1, 1, 5, 31, 19, 23, 195, 359, 853, 595, 337, 2503, 16371, 0};
static int joe_kuo_d6_initial_number01748[] = {1, 3, 7, 5, 5, 13, 89, 157, 351, 777, 151, 3565, 4219, 7423, 0};
static int joe_kuo_d6_initial_number01749[] = {1, 1, 1, 5, 7, 1, 9, 89, 175, 909, 1523, 2295, 7949, 6739, 0};
static int joe_kuo_d6_initial_number01750[] = {1, 3, 5, 15, 27, 17, 11, 235, 19, 105, 457, 465, 3819, 11335, 0};
static int joe_kuo_d6_initial_number01751[] = {1, 3, 1, 13, 3, 41, 85, 221, 451, 613, 543, 2265, 6831, 1725, 0};
static int joe_kuo_d6_initial_number01752[] = {1, 1, 7, 7, 3, 29, 9, 197, 455, 665, 343, 1811, 5395, 393, 0};
static int joe_kuo_d6_initial_number01753[] = {1, 1, 3, 13, 29, 55, 71, 95, 475, 615, 2029, 123, 413, 16127, 0};
static int joe_kuo_d6_initial_number01754[] = {1, 1, 5, 9, 15, 61, 9, 51, 105, 271, 511, 2801, 693, 11839, 0};
static int joe_kuo_d6_initial_number01755[] = {1, 1, 7, 13, 29, 9, 105, 59, 377, 635, 717, 4033, 6963, 10541, 0};
static int joe_kuo_d6_initial_number01756[] = {1, 1, 1, 13, 7, 13, 59, 17, 335, 355, 77, 3665, 7003, 9521, 0};
static int joe_kuo_d6_initial_number01757[] = {1, 3, 1, 1, 23, 43, 51, 209, 151, 365, 1021, 2859, 3937, 2899, 0};
static int joe_kuo_d6_initial_number01758[] = {1, 1, 3, 3, 31, 41, 111, 107, 171, 433, 1233, 505, 2971, 6927, 0};
static int joe_kuo_d6_initial_number01759[] = {1, 3, 7, 13, 17, 25, 127, 195, 257, 551, 1867, 2145, 3695, 14567, 0};
static int joe_kuo_d6_initial_number01760[] = {1, 1, 5, 13, 13, 45, 39, 195, 55, 991, 1981, 1043, 5875, 581, 0};
static int joe_kuo_d6_initial_number01761[] = {1, 3, 3, 11, 25, 31, 91, 153, 415, 449, 1301, 563, 7755, 10671, 0};
static int joe_kuo_d6_initial_number01762[] = {1, 1, 3, 5, 31, 63, 1, 157, 229, 949, 971, 137, 6589, 8387, 0};
static int joe_kuo_d6_initial_number01763[] = {1, 3, 7, 15, 25, 7, 89, 133, 73, 497, 1361, 613, 455, 1005, 0};
static int joe_kuo_d6_initial_number01764[] = {1, 3, 3, 1, 13, 5, 119, 93, 175, 511, 1923, 763, 7573, 7545, 0};
static int joe_kuo_d6_initial_number01765[] = {1, 1, 3, 15, 27, 59, 49, 205, 497, 485, 117, 2523, 4495, 15153, 0};
static int joe_kuo_d6_initial_number01766[] = {1, 3, 7, 9, 15, 47, 111, 31, 363, 11, 475, 2931, 6813, 1259, 0};
static int joe_kuo_d6_initial_number01767[] = {1, 1, 5, 5, 1, 35, 95, 225, 17, 991, 809, 2601, 6455, 13803, 0};
static int joe_kuo_d6_initial_number01768[] = {1, 1, 5, 5, 15, 1, 1, 171, 433, 887, 1813, 3431, 2471, 7803, 0};
static int joe_kuo_d6_initial_number01769[] = {1, 3, 3, 15, 1, 15, 43, 179, 15, 949, 1881, 1027, 6989, 8955, 0};
static int joe_kuo_d6_initial_number01770[] = {1, 3, 7, 13, 1, 3, 49, 183, 373, 175, 1733, 913, 929, 1065, 0};
static int joe_kuo_d6_initial_number01771[] = {1, 3, 5, 7, 15, 51, 107, 115, 323, 357, 167, 2069, 7541, 9601, 0};
static int joe_kuo_d6_initial_number01772[] = {1, 1, 3, 5, 5, 21, 31, 107, 21, 299, 1937, 43, 3673, 8155, 0};
static int joe_kuo_d6_initial_number01773[] = {1, 3, 5, 11, 9, 55, 35, 113, 29, 99, 161, 1607, 8141, 4951, 0};
static int joe_kuo_d6_initial_number01774[] = {1, 3, 7, 15, 25, 7, 113, 179, 213, 19, 1717, 1027, 2021, 11263, 0};
static int joe_kuo_d6_initial_number01775[] = {1, 1, 5, 1, 31, 33, 85, 111, 67, 95, 2013, 2217, 871, 5329, 0};
static int joe_kuo_d6_initial_number01776[] = {1, 1, 1, 7, 7, 63, 67, 145, 495, 419, 1945, 3437, 6255, 151, 0};
static int joe_kuo_d6_initial_number01777[] = {1, 3, 5, 7, 17, 37, 97, 187, 215, 399, 1603, 2195, 5923, 769, 0};
static int joe_kuo_d6_initial_number01778[] = {1, 1, 3, 9, 25, 1, 119, 193, 385, 861, 2005, 2769, 675, 767, 0};
static int joe_kuo_d6_initial_number01779[] = {1, 3, 1, 15, 19, 7, 5, 227, 173, 383, 289, 461, 579, 3689, 0};
static int joe_kuo_d6_initial_number01780[] = {1, 3, 1, 11, 1, 37, 93, 239, 465, 891, 1479, 921, 4439, 15265, 0};
static int joe_kuo_d6_initial_number01781[] = {1, 1, 1, 13, 27, 61, 99, 69, 279, 655, 1853, 1593, 6319, 9003, 0};
static int joe_kuo_d6_initial_number01782[] = {1, 1, 1, 11, 5, 7, 19, 7, 387, 303, 321, 931, 5809, 16029, 0};
static int joe_kuo_d6_initial_number01783[] = {1, 1, 1, 15, 21, 55, 43, 107, 217, 687, 19, 3225, 3419, 9991, 0};
static int joe_kuo_d6_initial_number01784[] = {1, 1, 7, 5, 7, 55, 79, 41, 317, 357, 859, 1205, 191, 9395, 0};
static int joe_kuo_d6_initial_number01785[] = {1, 1, 3, 11, 3, 43, 7, 133, 115, 995, 1205, 1055, 4153, 10481, 0};
static int joe_kuo_d6_initial_number01786[] = {1, 1, 7, 11, 31, 57, 53, 9, 459, 223, 1969, 3513, 7033, 8505, 0};
static int joe_kuo_d6_initial_number01787[] = {1, 1, 3, 7, 17, 11, 115, 255, 281, 97, 1685, 2039, 2845, 11637, 0};
static int joe_kuo_d6_initial_number01788[] = {1, 3, 7, 1, 23, 41, 69, 199, 53, 105, 657, 1453, 4429, 1101, 0};
static int joe_kuo_d6_initial_number01789[] = {1, 3, 1, 5, 11, 33, 91, 131, 191, 73, 823, 117, 1053, 127, 0};
static int joe_kuo_d6_initial_number01790[] = {1, 3, 7, 11, 7, 3, 21, 65, 187, 103, 1393, 1797, 6673, 1409, 0};
static int joe_kuo_d6_initial_number01791[] = {1, 3, 7, 1, 31, 25, 25, 161, 299, 275, 417, 2267, 6861, 1255, 0};
static int joe_kuo_d6_initial_number01792[] = {1, 3, 5, 13, 5, 11, 61, 155, 115, 1001, 747, 889, 3235, 5709, 0};
static int joe_kuo_d6_initial_number01793[] = {1, 3, 7, 7, 7, 1, 97, 177, 507, 273, 1781, 3455, 5123, 15607, 0};
static int joe_kuo_d6_initial_number01794[] = {1, 1, 7, 5, 1, 7, 59, 49, 147, 343, 97, 3517, 5611, 8705, 0};
static int joe_kuo_d6_initial_number01795[] = {1, 1, 5, 13, 21, 29, 13, 21, 503, 515, 1217, 3905, 5513, 15849, 0};
static int joe_kuo_d6_initial_number01796[] = {1, 3, 1, 9, 9, 39, 65, 111, 385, 757, 583, 2225, 2039, 2817, 0};
static int joe_kuo_d6_initial_number01797[] = {1, 3, 3, 15, 23, 17, 63, 169, 503, 949, 849, 461, 6799, 669, 0};
static int joe_kuo_d6_initial_number01798[] = {1, 1, 1, 3, 1, 41, 63, 159, 251, 457, 521, 1653, 623, 3287, 0};
static int joe_kuo_d6_initial_number01799[] = {1, 1, 7, 3, 9, 1, 41, 37, 441, 921, 1415, 2955, 5841, 1451, 0};
static int joe_kuo_d6_initial_number01800[] = {1, 1, 5, 11, 23, 29, 89, 185, 413, 357, 1131, 2369, 3835, 6233, 0};
static int joe_kuo_d6_initial_number01801[] = {1, 1, 5, 15, 27, 35, 17, 73, 315, 911, 1761, 797, 5349, 3219, 0};
static int joe_kuo_d6_initial_number01802[] = {1, 3, 7, 11, 21, 9, 119, 233, 249, 901, 189, 3625, 2691, 16201, 0};
static int joe_kuo_d6_initial_number01803[] = {1, 3, 3, 13, 29, 61, 105, 145, 187, 79, 609, 321, 4289, 3933, 0};
static int joe_kuo_d6_initial_number01804[] = {1, 3, 1, 15, 19, 63, 13, 185, 115, 219, 1021, 1205, 4273, 11521, 0};
static int joe_kuo_d6_initial_number01805[] = {1, 1, 3, 3, 23, 31, 93, 153, 87, 947, 1039, 469, 4047, 8869, 0};
static int joe_kuo_d6_initial_number01806[] = {1, 1, 1, 1, 9, 1, 85, 3, 15, 995, 455, 2769, 6781, 16203, 0};
static int joe_kuo_d6_initial_number01807[] = {1, 1, 3, 3, 13, 7, 55, 215, 185, 367, 765, 441, 4497, 1521, 0};
static int joe_kuo_d6_initial_number01808[] = {1, 1, 1, 5, 1, 31, 13, 95, 417, 735, 975, 3407, 4871, 16133, 0};
static int joe_kuo_d6_initial_number01809[] = {1, 1, 3, 3, 5, 43, 111, 107, 419, 515, 1075, 3597, 1187, 4143, 0};
static int joe_kuo_d6_initial_number01810[] = {1, 1, 3, 13, 31, 51, 83, 163, 489, 887, 863, 599, 9, 13861, 0};
static int joe_kuo_d6_initial_number01811[] = {1, 3, 3, 3, 19, 27, 91, 115, 103, 969, 593, 3667, 1867, 15433, 0};
static int joe_kuo_d6_initial_number01812[] = {1, 3, 3, 13, 7, 25, 47, 141, 57, 553, 1785, 1709, 7453, 2209, 0};
static int joe_kuo_d6_initial_number01813[] = {1, 3, 1, 13, 11, 13, 71, 219, 5, 451, 2043, 1605, 6439, 12203, 0};
static int joe_kuo_d6_initial_number01814[] = {1, 3, 1, 13, 5, 57, 61, 223, 401, 413, 321, 1365, 619, 12477, 0};
static int joe_kuo_d6_initial_number01815[] = {1, 3, 1, 5, 25, 57, 89, 211, 195, 455, 1165, 3979, 6313, 5751, 0};
static int joe_kuo_d6_initial_number01816[] = {1, 1, 1, 9, 31, 23, 71, 145, 89, 285, 1593, 1171, 5685, 15459, 0};
static int joe_kuo_d6_initial_number01817[] = {1, 3, 7, 7, 9, 41, 65, 251, 65, 137, 1577, 3027, 5555, 2865, 0};
static int joe_kuo_d6_initial_number01818[] = {1, 1, 5, 13, 27, 5, 125, 21, 171, 647, 983, 2921, 6623, 5695, 0};
static int joe_kuo_d6_initial_number01819[] = {1, 1, 1, 13, 15, 9, 117, 197, 123, 953, 1191, 3657, 5757, 15957, 0};
static int joe_kuo_d6_initial_number01820[] = {1, 1, 3, 7, 29, 13, 5, 175, 395, 127, 679, 255, 6055, 7639, 0};
static int joe_kuo_d6_initial_number01821[] = {1, 3, 7, 15, 15, 51, 77, 147, 319, 147, 1775, 3983, 3175, 5723, 0};
static int joe_kuo_d6_initial_number01822[] = {1, 3, 3, 3, 7, 11, 119, 41, 43, 153, 975, 679, 3081, 10359, 0};
static int joe_kuo_d6_initial_number01823[] = {1, 1, 5, 13, 3, 7, 65, 67, 63, 399, 1561, 2789, 2083, 12289, 0};
static int joe_kuo_d6_initial_number01824[] = {1, 1, 7, 3, 19, 53, 103, 67, 35, 865, 161, 93, 2533, 3851, 0};
static int joe_kuo_d6_initial_number01825[] = {1, 1, 1, 11, 31, 9, 29, 189, 199, 817, 1571, 395, 345, 3777, 0};
static int joe_kuo_d6_initial_number01826[] = {1, 3, 5, 11, 31, 3, 9, 67, 277, 735, 181, 2777, 3009, 7233, 0};
static int joe_kuo_d6_initial_number01827[] = {1, 1, 3, 3, 17, 7, 17, 3, 375, 933, 237, 3919, 5409, 3355, 0};
static int joe_kuo_d6_initial_number01828[] = {1, 3, 3, 5, 9, 27, 19, 77, 221, 3, 1965, 309, 3001, 15977, 0};
static int joe_kuo_d6_initial_number01829[] = {1, 1, 5, 1, 3, 33, 35, 133, 37, 709, 627, 1705, 2525, 4307, 0};
static int joe_kuo_d6_initial_number01830[] = {1, 1, 7, 3, 25, 21, 105, 55, 375, 681, 881, 1299, 5879, 459, 0};
static int joe_kuo_d6_initial_number01831[] = {1, 3, 7, 1, 13, 7, 113, 103, 313, 515, 1041, 3683, 4619, 5093, 0};
static int joe_kuo_d6_initial_number01832[] = {1, 1, 3, 7, 19, 43, 83, 37, 39, 133, 1759, 1171, 1521, 13717, 0};
static int joe_kuo_d6_initial_number01833[] = {1, 1, 7, 13, 7, 35, 15, 155, 293, 1001, 157, 3883, 405, 1797, 0};
static int joe_kuo_d6_initial_number01834[] = {1, 1, 3, 3, 13, 19, 125, 49, 333, 387, 339, 1815, 4503, 7359, 0};
static int joe_kuo_d6_initial_number01835[] = {1, 1, 3, 13, 19, 19, 105, 225, 151, 27, 1251, 885, 4815, 7863, 0};
static int joe_kuo_d6_initial_number01836[] = {1, 1, 1, 5, 7, 59, 17, 145, 77, 117, 1355, 1429, 2301, 16177, 0};
static int joe_kuo_d6_initial_number01837[] = {1, 3, 3, 13, 5, 31, 119, 167, 459, 727, 1799, 2537, 695, 13637, 0};
static int joe_kuo_d6_initial_number01838[] = {1, 3, 3, 3, 27, 51, 107, 85, 267, 57, 1279, 823, 6247, 3603, 0};
static int joe_kuo_d6_initial_number01839[] = {1, 1, 7, 15, 29, 17, 67, 197, 215, 465, 109, 3461, 5269, 15287, 0};
static int joe_kuo_d6_initial_number01840[] = {1, 1, 3, 5, 11, 15, 123, 53, 293, 797, 1105, 1777, 6509, 217, 0};
static int joe_kuo_d6_initial_number01841[] = {1, 3, 3, 13, 3, 5, 109, 53, 203, 693, 871, 135, 369, 11149, 0};
static int joe_kuo_d6_initial_number01842[] = {1, 3, 5, 15, 17, 43, 81, 235, 119, 817, 1777, 261, 8049, 4251, 0};
static int joe_kuo_d6_initial_number01843[] = {1, 1, 3, 7, 7, 13, 87, 99, 481, 931, 1507, 651, 5267, 8281, 0};
static int joe_kuo_d6_initial_number01844[] = {1, 3, 1, 13, 27, 43, 77, 225, 341, 163, 933, 429, 4943, 7781, 0};
static int joe_kuo_d6_initial_number01845[] = {1, 1, 7, 1, 1, 49, 85, 211, 449, 479, 1395, 787, 5653, 14891, 0};
static int joe_kuo_d6_initial_number01846[] = {1, 1, 5, 9, 25, 13, 49, 85, 125, 85, 1281, 3365, 4305, 11791, 0};
static int joe_kuo_d6_initial_number01847[] = {1, 3, 1, 13, 3, 31, 117, 39, 43, 151, 663, 669, 1571, 5207, 0};
static int joe_kuo_d6_initial_number01848[] = {1, 3, 7, 15, 17, 7, 79, 163, 37, 841, 1799, 1787, 4501, 3785, 0};
static int joe_kuo_d6_initial_number01849[] = {1, 1, 3, 9, 1, 23, 67, 191, 449, 931, 1521, 2705, 887, 7037, 0};
static int joe_kuo_d6_initial_number01850[] = {1, 1, 1, 1, 5, 13, 55, 161, 419, 577, 1703, 2589, 2651, 2873, 0};
static int joe_kuo_d6_initial_number01851[] = {1, 3, 3, 3, 5, 19, 37, 169, 69, 1003, 1755, 3101, 1469, 8583, 0};
static int joe_kuo_d6_initial_number01852[] = {1, 1, 1, 1, 11, 33, 105, 79, 283, 91, 299, 835, 3193, 5593, 0};
static int joe_kuo_d6_initial_number01853[] = {1, 3, 3, 13, 25, 21, 81, 213, 465, 475, 331, 457, 61, 9511, 0};
static int joe_kuo_d6_initial_number01854[] = {1, 1, 3, 11, 1, 11, 77, 95, 455, 949, 1999, 1833, 1275, 5631, 0};
static int joe_kuo_d6_initial_number01855[] = {1, 1, 1, 1, 15, 25, 51, 137, 275, 451, 1179, 3595, 5177, 7105, 0};
static int joe_kuo_d6_initial_number01856[] = {1, 3, 3, 3, 3, 59, 79, 143, 393, 583, 349, 3039, 7079, 14245, 0};
static int joe_kuo_d6_initial_number01857[] = {1, 1, 7, 9, 21, 11, 123, 105, 53, 297, 803, 4025, 5421, 14527, 0};
static int joe_kuo_d6_initial_number01858[] = {1, 3, 7, 11, 21, 15, 103, 109, 311, 321, 1217, 2777, 5457, 1823, 0};
static int joe_kuo_d6_initial_number01859[] = {1, 3, 5, 11, 19, 31, 79, 89, 295, 413, 817, 499, 3699, 14411, 0};
static int joe_kuo_d6_initial_number01860[] = {1, 1, 1, 5, 11, 3, 81, 13, 315, 841, 1543, 411, 6883, 6347, 0};
static int joe_kuo_d6_initial_number01861[] = {1, 3, 3, 11, 23, 43, 23, 131, 17, 517, 995, 2687, 7443, 15085, 0};
static int joe_kuo_d6_initial_number01862[] = {1, 1, 1, 1, 11, 57, 73, 9, 123, 905, 1763, 1789, 3701, 7131, 0};
static int joe_kuo_d6_initial_number01863[] = {1, 1, 3, 5, 9, 53, 99, 229, 43, 207, 625, 1583, 6727, 15249, 0};
static int joe_kuo_d6_initial_number01864[] = {1, 1, 7, 7, 17, 39, 91, 1, 297, 711, 225, 513, 7391, 291, 0};
static int joe_kuo_d6_initial_number01865[] = {1, 1, 7, 11, 7, 55, 111, 129, 423, 521, 1807, 3015, 1449, 12321, 0};
static int joe_kuo_d6_initial_number01866[] = {1, 3, 7, 3, 13, 9, 125, 187, 11, 485, 647, 275, 3495, 11989, 0};
static int joe_kuo_d6_initial_number01867[] = {1, 1, 3, 11, 11, 25, 49, 33, 361, 105, 271, 3841, 4837, 2437, 30181, 0};
static int joe_kuo_d6_initial_number01868[] = {1, 3, 5, 1, 27, 15, 119, 35, 159, 273, 1489, 3157, 5433, 3337, 26859, 0};
static int joe_kuo_d6_initial_number01869[] = {1, 3, 5, 13, 23, 31, 97, 145, 41, 605, 1455, 59, 5389, 5527, 14447, 0};
static int joe_kuo_d6_initial_number01870[] = {1, 1, 7, 9, 7, 41, 61, 193, 353, 879, 1805, 581, 5447, 11177, 7331, 0};
static int joe_kuo_d6_initial_number01871[] = {1, 1, 7, 11, 29, 19, 55, 207, 361, 759, 63, 2255, 2119, 14671, 21783, 0};
static int joe_kuo_d6_initial_number01872[] = {1, 3, 1, 13, 17, 7, 73, 179, 103, 23, 917, 1205, 4925, 1691, 5419, 0};
static int joe_kuo_d6_initial_number01873[] = {1, 3, 5, 3, 15, 3, 9, 109, 227, 861, 867, 3529, 1535, 489, 22873, 0};
static int joe_kuo_d6_initial_number01874[] = {1, 3, 3, 9, 15, 15, 95, 193, 385, 997, 1525, 1865, 1425, 4079, 14771, 0};
static int joe_kuo_d6_initial_number01875[] = {1, 1, 3, 5, 5, 29, 49, 171, 171, 623, 1167, 3743, 1809, 12009, 7043, 0};
static int joe_kuo_d6_initial_number01876[] = {1, 3, 7, 5, 23, 11, 87, 183, 299, 555, 1857, 489, 3505, 9161, 28763, 0};
static int joe_kuo_d6_initial_number01877[] = {1, 3, 5, 9, 19, 21, 85, 127, 337, 439, 1183, 1891, 1877, 4373, 10451, 0};
static int joe_kuo_d6_initial_number01878[] = {1, 3, 7, 13, 27, 17, 29, 83, 463, 385, 1167, 3453, 4523, 4759, 9321, 0};
static int joe_kuo_d6_initial_number01879[] = {1, 1, 3, 7, 21, 59, 65, 83, 177, 763, 317, 2913, 7527, 5967, 17167, 0};
static int joe_kuo_d6_initial_number01880[] = {1, 1, 7, 15, 13, 27, 49, 35, 253, 101, 1699, 355, 2181, 10859, 24221, 0};
static int joe_kuo_d6_initial_number01881[] = {1, 1, 5, 1, 17, 17, 81, 91, 349, 655, 1373, 2225, 945, 899, 31801, 0};
static int joe_kuo_d6_initial_number01882[] = {1, 3, 7, 11, 5, 1, 81, 53, 215, 587, 167, 4045, 5671, 5597, 13529, 0};
static int joe_kuo_d6_initial_number01883[] = {1, 3, 5, 15, 1, 9, 59, 235, 315, 195, 909, 2237, 505, 10415, 28145, 0};
static int joe_kuo_d6_initial_number01884[] = {1, 1, 1, 3, 9, 31, 41, 43, 275, 921, 25, 671, 5737, 11241, 4193, 0};
static int joe_kuo_d6_initial_number01885[] = {1, 3, 3, 13, 29, 13, 95, 213, 317, 995, 1489, 3779, 3043, 8569, 28823, 0};
static int joe_kuo_d6_initial_number01886[] = {1, 1, 7, 5, 9, 49, 125, 241, 87, 153, 1673, 3849, 7253, 1715, 11627, 0};
static int joe_kuo_d6_initial_number01887[] = {1, 1, 3, 9, 27, 27, 19, 223, 63, 463, 1095, 1395, 6643, 11589, 2145, 0};
static int joe_kuo_d6_initial_number01888[] = {1, 1, 3, 15, 21, 17, 45, 23, 357, 11, 1307, 1791, 2481, 2123, 24341, 0};
static int joe_kuo_d6_initial_number01889[] = {1, 3, 5, 15, 31, 53, 117, 51, 433, 193, 1239, 3329, 2403, 12745, 32219, 0};
static int joe_kuo_d6_initial_number01890[] = {1, 1, 5, 9, 7, 27, 9, 115, 417, 579, 83, 173, 4717, 15665, 27463, 0};
static int joe_kuo_d6_initial_number01891[] = {1, 3, 5, 7, 9, 9, 31, 35, 249, 567, 331, 905, 5101, 14817, 14255, 0};
static int joe_kuo_d6_initial_number01892[] = {1, 3, 7, 3, 1, 61, 29, 129, 119, 421, 1597, 2987, 3041, 7629, 23451, 0};
static int joe_kuo_d6_initial_number01893[] = {1, 1, 7, 9, 13, 1, 99, 105, 107, 509, 989, 2259, 1009, 6827, 8903, 0};
static int joe_kuo_d6_initial_number01894[] = {1, 3, 5, 15, 11, 29, 85, 29, 265, 105, 2035, 3349, 3543, 13903, 10213, 0};
static int joe_kuo_d6_initial_number01895[] = {1, 3, 1, 1, 25, 19, 53, 139, 467, 485, 491, 3067, 7353, 13861, 25819, 0};
static int joe_kuo_d6_initial_number01896[] = {1, 1, 5, 3, 3, 43, 41, 185, 45, 463, 351, 2823, 2519, 6705, 11395, 0};
static int joe_kuo_d6_initial_number01897[] = {1, 3, 7, 13, 11, 15, 87, 221, 427, 673, 1631, 599, 3259, 10691, 31283, 0};
static int joe_kuo_d6_initial_number01898[] = {1, 3, 5, 11, 9, 9, 15, 49, 275, 335, 1613, 3587, 5309, 14849, 26475, 0};
static int joe_kuo_d6_initial_number01899[] = {1, 3, 7, 9, 29, 13, 79, 225, 381, 781, 1411, 2761, 7157, 14983, 19717, 0};
static int joe_kuo_d6_initial_number01900[] = {1, 1, 7, 11, 29, 25, 117, 183, 101, 651, 653, 3157, 445, 14389, 23293, 0};
static int joe_kuo_d6_initial_number01901[] = {1, 1, 1, 3, 5, 33, 73, 155, 473, 387, 591, 2045, 5965, 16299, 31499, 0};
static int joe_kuo_d6_initial_number01902[] = {1, 3, 1, 7, 11, 33, 29, 21, 491, 937, 729, 4075, 975, 2461, 18991, 0};
static int joe_kuo_d6_initial_number01903[] = {1, 3, 7, 15, 29, 39, 105, 111, 173, 943, 69, 295, 8175, 13037, 26131, 0};
static int joe_kuo_d6_initial_number01904[] = {1, 1, 5, 15, 7, 5, 97, 147, 105, 887, 443, 2595, 5889, 10753, 1619, 0};
static int joe_kuo_d6_initial_number01905[] = {1, 3, 3, 15, 11, 45, 87, 207, 353, 909, 1847, 323, 2283, 12885, 16415, 0};
static int joe_kuo_d6_initial_number01906[] = {1, 1, 5, 3, 19, 33, 43, 79, 115, 653, 359, 2873, 4609, 12439, 6339, 0};
static int joe_kuo_d6_initial_number01907[] = {1, 3, 7, 9, 17, 61, 49, 227, 291, 69, 1753, 3899, 483, 3187, 29041, 0};
static int joe_kuo_d6_initial_number01908[] = {1, 3, 5, 3, 25, 35, 61, 211, 393, 199, 691, 1779, 6295, 13371, 15817, 0};
static int joe_kuo_d6_initial_number01909[] = {1, 3, 7, 5, 7, 23, 37, 91, 245, 915, 579, 867, 6193, 1063, 17363, 0};
static int joe_kuo_d6_initial_number01910[] = {1, 3, 7, 7, 23, 51, 41, 63, 375, 3, 159, 1889, 4419, 1687, 17977, 0};
static int joe_kuo_d6_initial_number01911[] = {1, 1, 1, 7, 13, 11, 53, 43, 317, 325, 1749, 2423, 4123, 8595, 20773, 0};
static int joe_kuo_d6_initial_number01912[] = {1, 1, 7, 7, 9, 9, 61, 113, 437, 213, 1407, 645, 4345, 807, 30411, 0};
static int joe_kuo_d6_initial_number01913[] = {1, 3, 3, 11, 17, 39, 17, 113, 391, 385, 581, 2023, 7449, 10153, 22033, 0};
static int joe_kuo_d6_initial_number01914[] = {1, 1, 3, 5, 29, 31, 101, 215, 379, 377, 1113, 2855, 7147, 14377, 25515, 0};
static int joe_kuo_d6_initial_number01915[] = {1, 3, 5, 5, 13, 3, 121, 125, 227, 969, 11, 1115, 5657, 9209, 6117, 0};
static int joe_kuo_d6_initial_number01916[] = {1, 3, 7, 15, 29, 17, 33, 123, 317, 301, 749, 1365, 5619, 605, 1613, 0};
static int joe_kuo_d6_initial_number01917[] = {1, 3, 1, 15, 7, 53, 125, 249, 219, 655, 105, 2825, 1649, 12783, 19777, 0};
static int joe_kuo_d6_initial_number01918[] = {1, 1, 7, 1, 25, 53, 19, 53, 157, 373, 1855, 495, 5065, 9465, 2313, 0};
static int joe_kuo_d6_initial_number01919[] = {1, 3, 5, 13, 3, 57, 57, 161, 431, 415, 1859, 1033, 6349, 1577, 31579, 0};
static int joe_kuo_d6_initial_number01920[] = {1, 1, 7, 5, 23, 63, 29, 221, 13, 965, 1997, 2265, 1583, 10491, 9551, 0};
static int joe_kuo_d6_initial_number01921[] = {1, 1, 3, 13, 31, 25, 23, 61, 285, 5, 2005, 879, 795, 13299, 19685, 0};
static int joe_kuo_d6_initial_number01922[] = {1, 1, 7, 1, 21, 45, 121, 89, 263, 543, 1333, 2711, 219, 10823, 26139, 0};
static int joe_kuo_d6_initial_number01923[] = {1, 1, 3, 3, 27, 13, 19, 117, 161, 457, 1541, 295, 4953, 12125, 14503, 0};
static int joe_kuo_d6_initial_number01924[] = {1, 3, 5, 3, 7, 63, 13, 247, 439, 681, 977, 2537, 6923, 10323, 7349, 0};
static int joe_kuo_d6_initial_number01925[] = {1, 3, 5, 9, 3, 51, 81, 251, 349, 983, 581, 2515, 2281, 2849, 31915, 0};
static int joe_kuo_d6_initial_number01926[] = {1, 3, 5, 3, 11, 63, 47, 137, 303, 627, 91, 2269, 7097, 2145, 31059, 0};
static int joe_kuo_d6_initial_number01927[] = {1, 1, 3, 15, 13, 17, 53, 27, 133, 13, 117, 1837, 4103, 5843, 29153, 0};
static int joe_kuo_d6_initial_number01928[] = {1, 1, 5, 13, 21, 33, 37, 253, 465, 209, 309, 49, 3209, 15677, 14569, 0};
static int joe_kuo_d6_initial_number01929[] = {1, 1, 7, 15, 13, 21, 33, 203, 499, 141, 1155, 3893, 1663, 2115, 27459, 0};
static int joe_kuo_d6_initial_number01930[] = {1, 3, 5, 11, 21, 9, 39, 157, 257, 273, 1257, 1831, 515, 7969, 20133, 0};
static int joe_kuo_d6_initial_number01931[] = {1, 1, 3, 13, 19, 29, 15, 189, 103, 219, 1395, 517, 7425, 6585, 15865, 0};
static int joe_kuo_d6_initial_number01932[] = {1, 1, 5, 11, 21, 31, 49, 151, 39, 537, 1783, 3449, 6915, 223, 11587, 0};
static int joe_kuo_d6_initial_number01933[] = {1, 3, 3, 11, 7, 63, 69, 31, 27, 911, 1903, 2821, 7977, 12949, 32257, 0};
static int joe_kuo_d6_initial_number01934[] = {1, 1, 7, 9, 25, 45, 23, 233, 511, 595, 1383, 1721, 6789, 12055, 21179, 0};
static int joe_kuo_d6_initial_number01935[] = {1, 1, 7, 13, 1, 27, 123, 49, 439, 683, 501, 641, 1947, 6111, 25423, 0};
static int joe_kuo_d6_initial_number01936[] = {1, 3, 3, 5, 1, 23, 57, 241, 243, 593, 2039, 1617, 2209, 5171, 9675, 0};
static int joe_kuo_d6_initial_number01937[] = {1, 1, 1, 7, 5, 19, 83, 55, 481, 125, 177, 1021, 1139, 11403, 23099, 0};
static int joe_kuo_d6_initial_number01938[] = {1, 1, 3, 5, 29, 39, 33, 217, 461, 907, 733, 3795, 4811, 12939, 27715, 0};
static int joe_kuo_d6_initial_number01939[] = {1, 3, 7, 3, 7, 11, 39, 165, 495, 147, 999, 1827, 817, 603, 9293, 0};
static int joe_kuo_d6_initial_number01940[] = {1, 3, 7, 15, 25, 53, 35, 15, 431, 733, 1213, 2907, 8087, 3939, 27363, 0};
static int joe_kuo_d6_initial_number01941[] = {1, 3, 7, 13, 13, 9, 33, 27, 485, 183, 455, 3341, 2555, 4985, 8793, 0};
static int joe_kuo_d6_initial_number01942[] = {1, 1, 1, 15, 25, 47, 75, 21, 205, 15, 1639, 3067, 1295, 11693, 16903, 0};
static int joe_kuo_d6_initial_number01943[] = {1, 1, 1, 15, 3, 31, 93, 57, 43, 185, 251, 1899, 7885, 10829, 3609, 0};
static int joe_kuo_d6_initial_number01944[] = {1, 1, 3, 1, 29, 9, 69, 223, 221, 537, 365, 3411, 5771, 15279, 5309, 0};
static int joe_kuo_d6_initial_number01945[] = {1, 1, 7, 5, 1, 5, 125, 243, 213, 1003, 1571, 3355, 3981, 8781, 25993, 0};
static int joe_kuo_d6_initial_number01946[] = {1, 1, 1, 13, 7, 19, 53, 243, 301, 75, 1183, 2723, 6687, 13, 16581, 0};
static int joe_kuo_d6_initial_number01947[] = {1, 3, 1, 13, 17, 51, 91, 239, 437, 191, 1065, 2495, 5755, 3405, 8299, 0};
static int joe_kuo_d6_initial_number01948[] = {1, 1, 5, 5, 11, 59, 21, 169, 299, 123, 1845, 2199, 2157, 14461, 10327, 0};
static int joe_kuo_d6_initial_number01949[] = {1, 3, 7, 7, 19, 47, 51, 179, 41, 19, 1347, 2325, 8063, 5993, 15653, 0};
static int joe_kuo_d6_initial_number01950[] = {1, 1, 1, 9, 25, 27, 7, 133, 223, 533, 719, 353, 7093, 8285, 10375, 0};
static int joe_kuo_d6_initial_number01951[] = {1, 3, 5, 15, 31, 5, 67, 39, 441, 495, 977, 3699, 1435, 11385, 14567, 0};
static int joe_kuo_d6_initial_number01952[] = {1, 1, 3, 15, 15, 39, 25, 33, 91, 523, 249, 4035, 769, 5181, 9691, 0};
static int joe_kuo_d6_initial_number01953[] = {1, 1, 3, 3, 3, 57, 83, 187, 423, 165, 161, 3453, 2241, 981, 8429, 0};
static int joe_kuo_d6_initial_number01954[] = {1, 1, 7, 15, 1, 17, 57, 189, 283, 11, 823, 3505, 7025, 11879, 15441, 0};
static int joe_kuo_d6_initial_number01955[] = {1, 1, 3, 11, 1, 41, 7, 255, 385, 339, 607, 1405, 1473, 13697, 9491, 0};
static int joe_kuo_d6_initial_number01956[] = {1, 1, 7, 15, 5, 9, 91, 99, 211, 233, 51, 2663, 1165, 9283, 18495, 0};
static int joe_kuo_d6_initial_number01957[] = {1, 1, 3, 7, 21, 37, 13, 91, 39, 27, 1021, 2813, 5937, 6645, 3403, 0};
static int joe_kuo_d6_initial_number01958[] = {1, 3, 1, 1, 29, 29, 5, 69, 399, 665, 1407, 3921, 2653, 11753, 18925, 0};
static int joe_kuo_d6_initial_number01959[] = {1, 3, 7, 15, 13, 41, 39, 1, 437, 549, 161, 2315, 5631, 8335, 22661, 0};
static int joe_kuo_d6_initial_number01960[] = {1, 1, 3, 1, 7, 17, 115, 61, 69, 955, 475, 3763, 8035, 927, 17893, 0};
static int joe_kuo_d6_initial_number01961[] = {1, 3, 1, 13, 21, 59, 81, 145, 463, 145, 1941, 2777, 7453, 14229, 11281, 0};
static int joe_kuo_d6_initial_number01962[] = {1, 1, 1, 15, 15, 11, 27, 165, 461, 395, 1645, 3611, 7463, 12379, 26787, 0};
static int joe_kuo_d6_initial_number01963[] = {1, 1, 7, 9, 29, 19, 27, 123, 21, 149, 1643, 4001, 7207, 6769, 4647, 0};
static int joe_kuo_d6_initial_number01964[] = {1, 1, 1, 11, 13, 9, 103, 139, 185, 587, 591, 1113, 2223, 11667, 32671, 0};
static int joe_kuo_d6_initial_number01965[] = {1, 3, 1, 1, 31, 13, 19, 93, 229, 125, 1471, 2369, 3055, 10277, 28563, 0};
static int joe_kuo_d6_initial_number01966[] = {1, 3, 7, 5, 7, 53, 99, 175, 161, 851, 617, 4027, 2357, 11199, 1931, 0};
static int joe_kuo_d6_initial_number01967[] = {1, 3, 5, 11, 3, 31, 111, 179, 237, 845, 539, 1057, 259, 3417, 26637, 0};
static int joe_kuo_d6_initial_number01968[] = {1, 1, 5, 3, 21, 49, 125, 119, 463, 403, 737, 1811, 3941, 13015, 29081, 0};
static int joe_kuo_d6_initial_number01969[] = {1, 3, 5, 13, 5, 29, 69, 251, 313, 357, 663, 1097, 3307, 12845, 28495, 0};
static int joe_kuo_d6_initial_number01970[] = {1, 3, 3, 5, 29, 17, 89, 15, 411, 409, 2013, 757, 4085, 12521, 11131, 0};
static int joe_kuo_d6_initial_number01971[] = {1, 1, 1, 15, 7, 51, 3, 193, 493, 133, 381, 2027, 227, 6635, 12931, 0};
static int joe_kuo_d6_initial_number01972[] = {1, 1, 1, 15, 7, 23, 99, 203, 323, 1007, 1465, 2887, 2215, 1787, 22069, 0};
static int joe_kuo_d6_initial_number01973[] = {1, 1, 5, 9, 29, 59, 77, 151, 509, 313, 415, 3977, 5431, 8019, 8571, 0};
static int joe_kuo_d6_initial_number01974[] = {1, 3, 1, 15, 19, 13, 57, 217, 87, 119, 25, 1149, 5667, 3765, 6959, 0};
static int joe_kuo_d6_initial_number01975[] = {1, 3, 7, 13, 19, 31, 119, 3, 457, 117, 905, 361, 1483, 12405, 27005, 0};
static int joe_kuo_d6_initial_number01976[] = {1, 3, 5, 11, 15, 35, 61, 77, 119, 51, 1753, 2765, 1091, 10573, 23595, 0};
static int joe_kuo_d6_initial_number01977[] = {1, 3, 3, 7, 1, 35, 17, 93, 197, 511, 1253, 3031, 2739, 15127, 15147, 0};
static int joe_kuo_d6_initial_number01978[] = {1, 3, 3, 1, 11, 55, 55, 107, 161, 75, 129, 2195, 2023, 4877, 25797, 0};
static int joe_kuo_d6_initial_number01979[] = {1, 3, 5, 7, 23, 19, 113, 167, 167, 271, 1303, 125, 5057, 1323, 5165, 0};
static int joe_kuo_d6_initial_number01980[] = {1, 1, 5, 3, 21, 31, 11, 119, 215, 483, 1535, 407, 6485, 15401, 30297, 0};
static int joe_kuo_d6_initial_number01981[] = {1, 3, 5, 9, 21, 5, 77, 95, 443, 247, 913, 605, 365, 7465, 19707, 0};
static int joe_kuo_d6_initial_number01982[] = {1, 3, 1, 7, 17, 59, 9, 35, 391, 767, 1493, 475, 4725, 7529, 31579, 0};
static int joe_kuo_d6_initial_number01983[] = {1, 3, 3, 7, 31, 21, 61, 31, 421, 179, 273, 771, 5745, 10575, 32765, 0};
static int joe_kuo_d6_initial_number01984[] = {1, 3, 5, 15, 27, 13, 125, 55, 423, 1021, 497, 3521, 6903, 15111, 8285, 0};
static int joe_kuo_d6_initial_number01985[] = {1, 1, 5, 9, 13, 31, 105, 93, 421, 709, 643, 1079, 1533, 9149, 10799, 0};
static int joe_kuo_d6_initial_number01986[] = {1, 3, 1, 11, 19, 29, 53, 199, 319, 247, 655, 3039, 6411, 12267, 14245, 0};
static int joe_kuo_d6_initial_number01987[] = {1, 3, 1, 11, 9, 57, 5, 91, 469, 149, 259, 329, 5433, 6941, 15093, 0};
static int joe_kuo_d6_initial_number01988[] = {1, 3, 1, 5, 5, 51, 59, 25, 455, 367, 1623, 441, 3155, 11695, 20767, 0};
static int joe_kuo_d6_initial_number01989[] = {1, 3, 7, 7, 11, 49, 113, 95, 91, 389, 605, 1973, 2051, 2315, 22229, 0};
static int joe_kuo_d6_initial_number01990[] = {1, 3, 5, 3, 19, 11, 99, 135, 433, 781, 1473, 885, 1105, 3573, 3739, 0};
static int joe_kuo_d6_initial_number01991[] = {1, 3, 1, 11, 3, 25, 9, 227, 433, 723, 317, 139, 6627, 8067, 28439, 0};
static int joe_kuo_d6_initial_number01992[] = {1, 1, 1, 9, 9, 9, 5, 63, 241, 215, 1991, 2949, 3943, 775, 31511, 0};
static int joe_kuo_d6_initial_number01993[] = {1, 1, 3, 7, 17, 49, 35, 167, 131, 107, 1295, 2465, 4577, 11147, 29833, 0};
static int joe_kuo_d6_initial_number01994[] = {1, 1, 5, 1, 5, 25, 119, 129, 391, 743, 1069, 2957, 349, 6891, 13635, 0};
static int joe_kuo_d6_initial_number01995[] = {1, 3, 1, 7, 9, 31, 63, 253, 215, 51, 1347, 2361, 3125, 13049, 28461, 0};
static int joe_kuo_d6_initial_number01996[] = {1, 1, 7, 9, 3, 31, 21, 163, 255, 47, 259, 535, 5461, 3349, 30649, 0};
static int joe_kuo_d6_initial_number01997[] = {1, 3, 3, 13, 17, 33, 87, 47, 243, 709, 929, 3943, 3107, 3421, 13721, 0};
static int joe_kuo_d6_initial_number01998[] = {1, 3, 5, 11, 25, 61, 61, 173, 397, 735, 2005, 3355, 8121, 11593, 27697, 0};
static int joe_kuo_d6_initial_number01999[] = {1, 3, 5, 15, 17, 43, 63, 231, 275, 311, 1277, 2669, 7307, 2099, 9755, 0};
static int joe_kuo_d6_initial_number02000[] = {1, 3, 5, 3, 25, 43, 71, 191, 9, 121, 1873, 3747, 7491, 14055, 24293, 0};
static int joe_kuo_d6_initial_number02001[] = {1, 3, 5, 13, 17, 35, 113, 113, 385, 941, 39, 2705, 1225, 5167, 1373, 0};
static int joe_kuo_d6_initial_number02002[] = {1, 3, 5, 5, 7, 35, 19, 105, 487, 71, 139, 627, 4187, 3183, 713, 0};
static int joe_kuo_d6_initial_number02003[] = {1, 1, 5, 13, 29, 29, 103, 5, 157, 869, 1675, 423, 6689, 10697, 5303, 0};
static int joe_kuo_d6_initial_number02004[] = {1, 1, 5, 1, 29, 31, 61, 111, 473, 963, 685, 1483, 2383, 8109, 8495, 0};
static int joe_kuo_d6_initial_number02005[] = {1, 1, 5, 3, 19, 13, 95, 113, 217, 59, 1353, 1647, 3617, 3271, 2321, 0};
static int joe_kuo_d6_initial_number02006[] = {1, 3, 5, 7, 25, 35, 59, 131, 309, 445, 415, 93, 1453, 8789, 30201, 0};
static int joe_kuo_d6_initial_number02007[] = {1, 1, 5, 1, 5, 43, 71, 241, 123, 189, 831, 3469, 8093, 6187, 32721, 0};
static int joe_kuo_d6_initial_number02008[] = {1, 3, 7, 5, 25, 31, 123, 171, 319, 379, 889, 2365, 4881, 12225, 16609, 0};
static int joe_kuo_d6_initial_number02009[] = {1, 3, 1, 11, 27, 43, 121, 63, 291, 591, 811, 1995, 4777, 2083, 31385, 0};
static int joe_kuo_d6_initial_number02010[] = {1, 1, 5, 11, 27, 53, 85, 187, 461, 823, 703, 399, 6925, 11517, 28697, 0};
static int joe_kuo_d6_initial_number02011[] = {1, 1, 3, 5, 13, 11, 33, 121, 93, 717, 1275, 3877, 4247, 5845, 26909, 0};
static int joe_kuo_d6_initial_number02012[] = {1, 3, 1, 9, 7, 5, 47, 199, 367, 561, 185, 2855, 5997, 2699, 7581, 0};
static int joe_kuo_d6_initial_number02013[] = {1, 1, 5, 9, 23, 11, 71, 201, 61, 729, 1011, 3529, 663, 1413, 25675, 0};
static int joe_kuo_d6_initial_number02014[] = {1, 3, 7, 13, 27, 21, 11, 127, 281, 487, 1217, 3129, 5541, 3129, 17783, 0};
static int joe_kuo_d6_initial_number02015[] = {1, 1, 5, 9, 1, 29, 85, 193, 213, 743, 1473, 611, 391, 9405, 21137, 0};
static int joe_kuo_d6_initial_number02016[] = {1, 3, 3, 3, 31, 63, 37, 147, 39, 351, 79, 3069, 2441, 8901, 8777, 0};
static int joe_kuo_d6_initial_number02017[] = {1, 1, 7, 7, 25, 49, 55, 47, 441, 343, 1267, 1123, 5917, 14395, 10579, 0};
static int joe_kuo_d6_initial_number02018[] = {1, 1, 7, 1, 13, 55, 55, 123, 103, 773, 125, 2145, 4743, 13347, 2589, 0};
static int joe_kuo_d6_initial_number02019[] = {1, 3, 7, 3, 9, 33, 25, 183, 469, 213, 291, 75, 6725, 6847, 26745, 0};
static int joe_kuo_d6_initial_number02020[] = {1, 3, 3, 7, 15, 43, 7, 79, 171, 21, 1767, 2537, 4285, 12007, 24039, 0};
static int joe_kuo_d6_initial_number02021[] = {1, 3, 7, 13, 9, 61, 125, 23, 227, 879, 215, 1635, 2835, 883, 15939, 0};
static int joe_kuo_d6_initial_number02022[] = {1, 1, 5, 13, 25, 45, 63, 43, 183, 829, 149, 989, 987, 3819, 12181, 0};
static int joe_kuo_d6_initial_number02023[] = {1, 1, 3, 7, 19, 27, 35, 83, 135, 459, 785, 131, 2655, 3329, 3009, 0};
static int joe_kuo_d6_initial_number02024[] = {1, 1, 7, 5, 11, 41, 9, 219, 475, 985, 1329, 3787, 1975, 4679, 8627, 0};
static int joe_kuo_d6_initial_number02025[] = {1, 1, 7, 3, 1, 17, 91, 155, 3, 763, 1879, 233, 215, 2955, 25993, 0};
static int joe_kuo_d6_initial_number02026[] = {1, 1, 1, 11, 25, 11, 23, 227, 453, 775, 1935, 3833, 4583, 269, 705, 0};
static int joe_kuo_d6_initial_number02027[] = {1, 3, 3, 11, 7, 25, 105, 21, 449, 555, 1275, 3475, 5503, 15617, 813, 0};
static int joe_kuo_d6_initial_number02028[] = {1, 3, 7, 13, 31, 37, 25, 255, 233, 663, 1155, 1563, 4775, 7449, 29949, 0};
static int joe_kuo_d6_initial_number02029[] = {1, 1, 3, 1, 23, 51, 51, 137, 63, 809, 349, 2789, 6953, 10605, 18959, 0};
static int joe_kuo_d6_initial_number02030[] = {1, 3, 3, 13, 21, 45, 15, 161, 393, 229, 437, 2967, 4019, 3893, 21305, 0};
static int joe_kuo_d6_initial_number02031[] = {1, 1, 3, 7, 5, 11, 15, 211, 287, 131, 1847, 2569, 7881, 15669, 31037, 0};
static int joe_kuo_d6_initial_number02032[] = {1, 3, 3, 15, 27, 19, 85, 251, 221, 639, 665, 3729, 5771, 7873, 28005, 0};
static int joe_kuo_d6_initial_number02033[] = {1, 3, 7, 15, 15, 47, 93, 215, 343, 85, 1401, 1375, 2949, 13661, 25453, 0};
static int joe_kuo_d6_initial_number02034[] = {1, 1, 1, 9, 7, 51, 53, 217, 471, 389, 551, 1141, 1767, 2237, 17797, 0};
static int joe_kuo_d6_initial_number02035[] = {1, 1, 7, 9, 3, 29, 65, 29, 223, 591, 1719, 1049, 7643, 3853, 29867, 0};
static int joe_kuo_d6_initial_number02036[] = {1, 1, 1, 11, 13, 41, 85, 29, 451, 387, 1783, 3733, 8033, 4711, 31643, 0};
static int joe_kuo_d6_initial_number02037[] = {1, 3, 1, 11, 11, 57, 75, 153, 7, 373, 2011, 271, 469, 3267, 18969, 0};
static int joe_kuo_d6_initial_number02038[] = {1, 1, 5, 3, 19, 43, 7, 243, 385, 293, 923, 843, 4895, 469, 8421, 0};
static int joe_kuo_d6_initial_number02039[] = {1, 3, 1, 15, 29, 47, 17, 125, 471, 927, 349, 3859, 3059, 11483, 14791, 0};
static int joe_kuo_d6_initial_number02040[] = {1, 3, 1, 11, 17, 17, 111, 109, 9, 213, 1313, 3903, 4411, 4329, 28277, 0};
static int joe_kuo_d6_initial_number02041[] = {1, 3, 3, 15, 1, 55, 47, 69, 143, 789, 1149, 3833, 5053, 6949, 10569, 0};
static int joe_kuo_d6_initial_number02042[] = {1, 3, 5, 7, 11, 15, 79, 83, 123, 937, 1115, 2775, 3041, 11869, 21167, 0};
static int joe_kuo_d6_initial_number02043[] = {1, 3, 7, 13, 9, 47, 45, 221, 139, 923, 1661, 1379, 2485, 7233, 6035, 0};
static int joe_kuo_d6_initial_number02044[] = {1, 1, 3, 3, 11, 55, 77, 3, 87, 693, 1991, 1145, 2783, 16207, 24569, 0};
static int joe_kuo_d6_initial_number02045[] = {1, 1, 5, 11, 3, 35, 91, 9, 391, 927, 101, 1839, 3755, 10345, 16907, 0};
static int joe_kuo_d6_initial_number02046[] = {1, 3, 5, 3, 5, 49, 79, 91, 205, 443, 1369, 197, 2537, 11219, 17765, 0};
static int joe_kuo_d6_initial_number02047[] = {1, 1, 3, 15, 9, 7, 25, 25, 357, 247, 477, 421, 7679, 5987, 30079, 0};
static int joe_kuo_d6_initial_number02048[] = {1, 1, 5, 3, 29, 5, 89, 117, 481, 491, 371, 389, 7101, 2253, 23617, 0};
static int joe_kuo_d6_initial_number02049[] = {1, 1, 5, 13, 29, 59, 17, 181, 511, 291, 1991, 3499, 8177, 5559, 30045, 0};
static int joe_kuo_d6_initial_number02050[] = {1, 3, 3, 11, 23, 31, 117, 217, 241, 115, 749, 945, 1897, 12253, 8473, 0};
static int joe_kuo_d6_initial_number02051[] = {1, 1, 7, 15, 25, 47, 31, 1, 165, 311, 635, 3629, 1593, 8305, 30033, 0};
static int joe_kuo_d6_initial_number02052[] = {1, 3, 5, 9, 3, 17, 101, 237, 379, 503, 49, 929, 1687, 3865, 26723, 0};
static int joe_kuo_d6_initial_number02053[] = {1, 3, 5, 5, 15, 41, 1, 239, 53, 215, 1733, 827, 579, 4089, 6579, 0};
static int joe_kuo_d6_initial_number02054[] = {1, 3, 1, 15, 15, 21, 35, 21, 403, 257, 1475, 2403, 4705, 11553, 203, 0};
static int joe_kuo_d6_initial_number02055[] = {1, 3, 5, 11, 9, 53, 113, 9, 447, 511, 543, 3141, 7389, 11249, 431, 0};
static int joe_kuo_d6_initial_number02056[] = {1, 3, 5, 9, 9, 11, 55, 93, 325, 411, 305, 2573, 6871, 12339, 6435, 0};
static int joe_kuo_d6_initial_number02057[] = {1, 3, 3, 7, 31, 27, 21, 113, 99, 853, 365, 589, 3731, 10875, 12767, 0};
static int joe_kuo_d6_initial_number02058[] = {1, 3, 1, 7, 15, 27, 31, 17, 275, 93, 1161, 2619, 1329, 7307, 587, 0};
static int joe_kuo_d6_initial_number02059[] = {1, 3, 5, 9, 17, 47, 49, 237, 27, 193, 1237, 591, 5151, 5521, 31583, 0};
static int joe_kuo_d6_initial_number02060[] = {1, 3, 5, 3, 13, 1, 27, 87, 43, 977, 305, 3293, 2475, 14571, 18321, 0};
static int joe_kuo_d6_initial_number02061[] = {1, 1, 5, 7, 15, 13, 101, 1, 291, 807, 1711, 2277, 5573, 11051, 13133, 0};
static int joe_kuo_d6_initial_number02062[] = {1, 3, 3, 1, 9, 3, 65, 81, 415, 733, 1527, 2747, 6069, 159, 7095, 0};
static int joe_kuo_d6_initial_number02063[] = {1, 3, 3, 15, 27, 1, 71, 49, 231, 851, 2039, 613, 1899, 2537, 14511, 0};
static int joe_kuo_d6_initial_number02064[] = {1, 1, 1, 11, 3, 41, 55, 23, 247, 1011, 581, 2363, 2745, 1337, 20931, 0};
static int joe_kuo_d6_initial_number02065[] = {1, 1, 3, 11, 17, 61, 67, 255, 143, 357, 945, 3407, 5817, 4155, 23851, 0};
static int joe_kuo_d6_initial_number02066[] = {1, 3, 5, 3, 23, 1, 75, 247, 265, 413, 1899, 2565, 6629, 15655, 16117, 0};
static int joe_kuo_d6_initial_number02067[] = {1, 1, 1, 9, 11, 49, 11, 189, 223, 177, 1457, 1931, 163, 15905, 17297, 0};
static int joe_kuo_d6_initial_number02068[] = {1, 3, 7, 13, 17, 1, 111, 189, 343, 961, 427, 2507, 2393, 8653, 6353, 0};
static int joe_kuo_d6_initial_number02069[] = {1, 3, 7, 13, 23, 61, 59, 51, 313, 963, 791, 3681, 5637, 3965, 9263, 0};
static int joe_kuo_d6_initial_number02070[] = {1, 3, 7, 7, 21, 53, 127, 141, 499, 859, 337, 2835, 3195, 4351, 32369, 0};
static int joe_kuo_d6_initial_number02071[] = {1, 1, 7, 5, 1, 5, 53, 63, 497, 535, 35, 305, 4395, 9757, 13193, 0};
static int joe_kuo_d6_initial_number02072[] = {1, 1, 5, 13, 13, 31, 59, 229, 211, 745, 1453, 3677, 3005, 7703, 23907, 0};
static int joe_kuo_d6_initial_number02073[] = {1, 3, 5, 5, 7, 63, 17, 197, 493, 861, 499, 3015, 6349, 1815, 7437, 0};
static int joe_kuo_d6_initial_number02074[] = {1, 1, 1, 13, 13, 37, 29, 189, 253, 1017, 321, 3145, 407, 7547, 17099, 0};
static int joe_kuo_d6_initial_number02075[] = {1, 3, 3, 3, 23, 53, 69, 77, 175, 17, 1831, 841, 3851, 1295, 32107, 0};
static int joe_kuo_d6_initial_number02076[] = {1, 3, 7, 13, 13, 39, 107, 237, 389, 729, 635, 3717, 3041, 3169, 14987, 0};
static int joe_kuo_d6_initial_number02077[] = {1, 1, 3, 1, 25, 7, 69, 35, 495, 49, 659, 2783, 6051, 13875, 23927, 0};
static int joe_kuo_d6_initial_number02078[] = {1, 3, 7, 5, 5, 25, 49, 7, 193, 493, 93, 657, 1515, 13975, 14155, 0};
static int joe_kuo_d6_initial_number02079[] = {1, 3, 1, 1, 11, 15, 113, 45, 21, 595, 731, 3397, 4117, 9711, 16625, 0};
static int joe_kuo_d6_initial_number02080[] = {1, 3, 3, 9, 19, 19, 59, 7, 105, 579, 599, 2859, 97, 14717, 15361, 0};
static int joe_kuo_d6_initial_number02081[] = {1, 1, 1, 5, 27, 49, 113, 5, 367, 563, 1397, 2805, 3021, 3111, 20671, 0};
static int joe_kuo_d6_initial_number02082[] = {1, 3, 3, 15, 27, 51, 99, 167, 109, 365, 1959, 1523, 6959, 14405, 18191, 0};
static int joe_kuo_d6_initial_number02083[] = {1, 3, 1, 5, 21, 51, 125, 67, 123, 45, 1657, 51, 4825, 14081, 31049, 0};
static int joe_kuo_d6_initial_number02084[] = {1, 1, 5, 7, 21, 59, 21, 249, 77, 793, 1687, 2561, 2241, 4321, 7477, 0};
static int joe_kuo_d6_initial_number02085[] = {1, 1, 1, 7, 15, 35, 71, 29, 267, 611, 1813, 1823, 7039, 3299, 9919, 0};
static int joe_kuo_d6_initial_number02086[] = {1, 3, 7, 11, 21, 59, 109, 213, 371, 785, 659, 1687, 4827, 6017, 19619, 0};
static int joe_kuo_d6_initial_number02087[] = {1, 1, 3, 11, 27, 17, 1, 55, 367, 939, 333, 127, 5105, 2405, 28139, 0};
static int joe_kuo_d6_initial_number02088[] = {1, 1, 7, 13, 5, 35, 59, 133, 509, 573, 625, 3857, 7935, 5279, 3727, 0};
static int joe_kuo_d6_initial_number02089[] = {1, 1, 1, 7, 11, 47, 127, 157, 19, 403, 151, 1143, 7407, 8985, 32521, 0};
static int joe_kuo_d6_initial_number02090[] = {1, 3, 1, 1, 5, 13, 105, 123, 63, 139, 1569, 1983, 563, 7175, 27705, 0};
static int joe_kuo_d6_initial_number02091[] = {1, 1, 3, 13, 9, 35, 105, 227, 145, 21, 1369, 57, 393, 2921, 18511, 0};
static int joe_kuo_d6_initial_number02092[] = {1, 3, 1, 7, 17, 61, 99, 187, 261, 281, 437, 2219, 5999, 1857, 18001, 0};
static int joe_kuo_d6_initial_number02093[] = {1, 3, 3, 5, 1, 59, 67, 45, 451, 439, 2005, 3607, 3, 7167, 14227, 0};
static int joe_kuo_d6_initial_number02094[] = {1, 3, 3, 3, 29, 19, 25, 251, 275, 733, 1749, 4021, 871, 3227, 13701, 0};
static int joe_kuo_d6_initial_number02095[] = {1, 3, 3, 13, 27, 53, 57, 243, 491, 521, 1921, 1037, 5013, 5703, 15261, 0};
static int joe_kuo_d6_initial_number02096[] = {1, 3, 1, 11, 13, 57, 1, 15, 123, 533, 785, 335, 1423, 14269, 3483, 0};
static int joe_kuo_d6_initial_number02097[] = {1, 3, 7, 13, 15, 55, 5, 139, 385, 47, 1981, 1291, 7397, 12925, 29445, 0};
static int joe_kuo_d6_initial_number02098[] = {1, 1, 7, 1, 23, 23, 59, 93, 117, 57, 63, 3047, 4849, 11637, 25311, 0};
static int joe_kuo_d6_initial_number02099[] = {1, 1, 7, 13, 19, 37, 25, 203, 477, 447, 1345, 3485, 2099, 13347, 11621, 0};
static int joe_kuo_d6_initial_number02100[] = {1, 1, 7, 3, 11, 23, 81, 17, 41, 735, 1149, 3253, 7665, 8291, 22293, 0};
static int joe_kuo_d6_initial_number02101[] = {1, 1, 5, 3, 15, 9, 57, 167, 463, 493, 747, 1947, 6471, 1111, 31619, 0};
static int joe_kuo_d6_initial_number02102[] = {1, 1, 5, 15, 7, 15, 107, 205, 325, 167, 1749, 927, 3589, 6127, 7617, 0};
static int joe_kuo_d6_initial_number02103[] = {1, 1, 1, 13, 21, 25, 83, 147, 411, 399, 1423, 2279, 3661, 7591, 17429, 0};
static int joe_kuo_d6_initial_number02104[] = {1, 1, 1, 9, 5, 17, 69, 205, 243, 647, 473, 1717, 1977, 10725, 2913, 0};
static int joe_kuo_d6_initial_number02105[] = {1, 1, 3, 5, 5, 37, 103, 15, 485, 641, 1761, 3755, 6997, 10985, 11773, 0};
static int joe_kuo_d6_initial_number02106[] = {1, 1, 5, 13, 9, 51, 87, 195, 97, 807, 1801, 961, 6341, 4307, 29105, 0};
static int joe_kuo_d6_initial_number02107[] = {1, 3, 1, 13, 9, 35, 83, 61, 387, 817, 951, 3993, 7831, 8479, 23941, 0};
static int joe_kuo_d6_initial_number02108[] = {1, 1, 7, 11, 19, 47, 75, 37, 91, 337, 953, 1169, 163, 2259, 24713, 0};
static int joe_kuo_d6_initial_number02109[] = {1, 1, 1, 11, 13, 15, 83, 171, 159, 87, 619, 2973, 2653, 13725, 12499, 0};
static int joe_kuo_d6_initial_number02110[] = {1, 3, 5, 3, 5, 63, 119, 25, 343, 269, 553, 2183, 959, 3825, 22189, 0};
static int joe_kuo_d6_initial_number02111[] = {1, 1, 5, 15, 5, 37, 89, 109, 497, 1013, 265, 669, 1859, 2647, 3445, 0};
static int joe_kuo_d6_initial_number02112[] = {1, 3, 3, 9, 21, 21, 15, 245, 107, 649, 367, 1601, 7279, 15783, 4943, 0};
static int joe_kuo_d6_initial_number02113[] = {1, 3, 3, 15, 5, 41, 125, 113, 159, 161, 1191, 3491, 3531, 55, 20857, 0};
static int joe_kuo_d6_initial_number02114[] = {1, 3, 5, 9, 21, 57, 21, 195, 99, 193, 1915, 2923, 6349, 15085, 24929, 0};
static int joe_kuo_d6_initial_number02115[] = {1, 1, 1, 11, 31, 11, 73, 141, 361, 621, 1021, 2067, 5115, 12665, 26845, 0};
static int joe_kuo_d6_initial_number02116[] = {1, 1, 1, 3, 29, 11, 43, 61, 209, 923, 1753, 1937, 843, 205, 8367, 0};
static int joe_kuo_d6_initial_number02117[] = {1, 1, 1, 5, 15, 33, 119, 209, 215, 973, 1775, 815, 6693, 7957, 14517, 0};
static int joe_kuo_d6_initial_number02118[] = {1, 1, 1, 5, 17, 57, 27, 147, 489, 59, 1439, 2279, 445, 11791, 19739, 0};
static int joe_kuo_d6_initial_number02119[] = {1, 3, 1, 7, 11, 55, 1, 83, 305, 17, 1909, 405, 2325, 5293, 28559, 0};
static int joe_kuo_d6_initial_number02120[] = {1, 3, 3, 7, 11, 27, 103, 157, 455, 1005, 2033, 3145, 1919, 15723, 25197, 0};
static int joe_kuo_d6_initial_number02121[] = {1, 1, 5, 11, 15, 51, 37, 131, 503, 1007, 1795, 2421, 1335, 7413, 21741, 0};
static int joe_kuo_d6_initial_number02122[] = {1, 1, 3, 1, 23, 63, 69, 83, 419, 283, 583, 123, 7725, 2243, 8403, 0};
static int joe_kuo_d6_initial_number02123[] = {1, 1, 5, 5, 27, 45, 109, 17, 299, 65, 351, 947, 1165, 10723, 2053, 0};
static int joe_kuo_d6_initial_number02124[] = {1, 1, 3, 3, 23, 61, 115, 253, 1, 931, 1481, 3187, 441, 14735, 27207, 0};
static int joe_kuo_d6_initial_number02125[] = {1, 1, 5, 3, 25, 11, 83, 141, 359, 343, 901, 1629, 731, 12841, 14357, 0};
static int joe_kuo_d6_initial_number02126[] = {1, 1, 3, 9, 7, 45, 97, 3, 299, 217, 663, 1527, 6379, 4527, 26147, 0};
static int joe_kuo_d6_initial_number02127[] = {1, 1, 7, 9, 11, 53, 9, 203, 337, 713, 1517, 719, 4587, 11443, 26905, 0};
static int joe_kuo_d6_initial_number02128[] = {1, 1, 7, 9, 11, 41, 125, 213, 237, 377, 361, 3231, 4223, 3263, 12655, 0};
static int joe_kuo_d6_initial_number02129[] = {1, 3, 7, 7, 7, 33, 99, 19, 117, 273, 985, 107, 3831, 10135, 19423, 0};
static int joe_kuo_d6_initial_number02130[] = {1, 1, 5, 15, 25, 41, 13, 125, 449, 169, 1149, 4021, 5663, 3077, 19163, 0};
static int joe_kuo_d6_initial_number02131[] = {1, 3, 5, 9, 25, 57, 47, 103, 269, 51, 1805, 2503, 6687, 8065, 12045, 0};
static int joe_kuo_d6_initial_number02132[] = {1, 3, 5, 7, 3, 35, 87, 225, 189, 229, 931, 3293, 1347, 1427, 3269, 0};
static int joe_kuo_d6_initial_number02133[] = {1, 1, 1, 3, 5, 31, 61, 19, 247, 9, 1667, 343, 559, 2703, 3763, 0};
static int joe_kuo_d6_initial_number02134[] = {1, 3, 5, 15, 31, 19, 57, 187, 109, 121, 1287, 2269, 659, 16235, 1273, 0};
static int joe_kuo_d6_initial_number02135[] = {1, 1, 1, 3, 5, 47, 59, 243, 255, 97, 1959, 1723, 1347, 3019, 26989, 0};
static int joe_kuo_d6_initial_number02136[] = {1, 3, 3, 15, 29, 35, 75, 67, 497, 731, 193, 3307, 3579, 12005, 7209, 0};
static int joe_kuo_d6_initial_number02137[] = {1, 1, 5, 9, 13, 35, 79, 213, 51, 983, 1927, 1793, 5037, 5463, 965, 0};
static int joe_kuo_d6_initial_number02138[] = {1, 1, 7, 11, 5, 41, 7, 83, 15, 411, 1775, 3515, 6755, 3249, 16425, 0};
static int joe_kuo_d6_initial_number02139[] = {1, 3, 5, 1, 19, 61, 3, 19, 395, 819, 1331, 179, 5225, 5333, 3601, 0};
static int joe_kuo_d6_initial_number02140[] = {1, 1, 3, 9, 7, 5, 87, 15, 387, 609, 1465, 277, 987, 8377, 903, 0};
static int joe_kuo_d6_initial_number02141[] = {1, 1, 1, 3, 15, 11, 123, 107, 355, 333, 285, 1801, 6989, 1549, 25791, 0};
static int joe_kuo_d6_initial_number02142[] = {1, 1, 7, 13, 27, 13, 73, 111, 481, 227, 1091, 365, 5713, 5087, 27217, 0};
static int joe_kuo_d6_initial_number02143[] = {1, 3, 3, 15, 1, 55, 95, 213, 377, 405, 139, 1867, 2175, 4217, 28813, 0};
static int joe_kuo_d6_initial_number02144[] = {1, 3, 5, 11, 21, 43, 109, 155, 181, 901, 1951, 507, 4389, 10815, 3141, 0};
static int joe_kuo_d6_initial_number02145[] = {1, 1, 1, 15, 17, 11, 43, 215, 501, 19, 259, 3479, 6381, 6927, 31247, 0};
static int joe_kuo_d6_initial_number02146[] = {1, 3, 5, 15, 19, 61, 75, 41, 391, 95, 865, 1441, 7993, 13979, 24663, 0};
static int joe_kuo_d6_initial_number02147[] = {1, 3, 1, 3, 21, 15, 115, 213, 1, 645, 777, 1517, 2543, 11223, 3633, 0};
static int joe_kuo_d6_initial_number02148[] = {1, 3, 5, 3, 9, 57, 39, 211, 407, 65, 1795, 2805, 2799, 8691, 1987, 0};
static int joe_kuo_d6_initial_number02149[] = {1, 1, 3, 13, 17, 55, 47, 113, 29, 139, 1301, 3303, 1129, 13947, 29821, 0};
static int joe_kuo_d6_initial_number02150[] = {1, 1, 3, 13, 5, 35, 97, 151, 477, 409, 1397, 3399, 4421, 15929, 6163, 0};
static int joe_kuo_d6_initial_number02151[] = {1, 3, 1, 9, 21, 51, 99, 133, 149, 763, 623, 173, 4311, 11081, 1095, 0};
static int joe_kuo_d6_initial_number02152[] = {1, 3, 7, 15, 13, 3, 99, 3, 195, 907, 1335, 1355, 7977, 5773, 32383, 0};
static int joe_kuo_d6_initial_number02153[] = {1, 1, 3, 9, 17, 43, 43, 217, 475, 917, 1373, 1677, 4871, 9619, 16657, 0};
static int joe_kuo_d6_initial_number02154[] = {1, 3, 3, 7, 31, 31, 55, 11, 73, 693, 25, 417, 1195, 6225, 32279, 0};
static int joe_kuo_d6_initial_number02155[] = {1, 3, 5, 9, 21, 57, 127, 149, 79, 379, 1609, 2543, 6473, 16033, 27191, 0};
static int joe_kuo_d6_initial_number02156[] = {1, 1, 5, 1, 13, 9, 81, 153, 297, 789, 1749, 2819, 3961, 11231, 24927, 0};
static int joe_kuo_d6_initial_number02157[] = {1, 3, 5, 3, 23, 61, 45, 43, 43, 133, 1481, 1543, 2991, 13739, 10287, 0};
static int joe_kuo_d6_initial_number02158[] = {1, 1, 3, 9, 25, 43, 31, 177, 337, 193, 1083, 1, 991, 9725, 8379, 0};
static int joe_kuo_d6_initial_number02159[] = {1, 3, 5, 11, 13, 33, 65, 83, 421, 149, 409, 2443, 7423, 8847, 29599, 0};
static int joe_kuo_d6_initial_number02160[] = {1, 1, 5, 11, 11, 1, 23, 225, 77, 585, 1505, 2525, 739, 10915, 25733, 0};
static int joe_kuo_d6_initial_number02161[] = {1, 3, 7, 13, 7, 55, 3, 223, 415, 521, 1865, 2349, 5663, 7455, 16569, 0};
static int joe_kuo_d6_initial_number02162[] = {1, 1, 7, 13, 1, 45, 121, 49, 463, 99, 1061, 2559, 5087, 13389, 11035, 0};
static int joe_kuo_d6_initial_number02163[] = {1, 3, 7, 11, 31, 51, 35, 235, 385, 1023, 1771, 2013, 5437, 4877, 22119, 0};
static int joe_kuo_d6_initial_number02164[] = {1, 3, 3, 11, 21, 3, 11, 119, 81, 737, 1093, 2377, 4055, 1121, 15767, 0};
static int joe_kuo_d6_initial_number02165[] = {1, 1, 5, 13, 9, 3, 83, 217, 387, 249, 1047, 1861, 4103, 15367, 24545, 0};
static int joe_kuo_d6_initial_number02166[] = {1, 3, 3, 1, 5, 37, 43, 183, 383, 463, 937, 1165, 1481, 959, 17047, 0};
static int joe_kuo_d6_initial_number02167[] = {1, 1, 3, 5, 7, 43, 127, 243, 81, 1021, 165, 753, 4711, 12965, 22049, 0};
static int joe_kuo_d6_initial_number02168[] = {1, 1, 5, 5, 3, 61, 65, 53, 425, 89, 5, 1467, 1395, 9579, 8961, 0};
static int joe_kuo_d6_initial_number02169[] = {1, 3, 7, 13, 11, 35, 123, 21, 83, 689, 667, 1203, 5959, 15697, 26885, 0};
static int joe_kuo_d6_initial_number02170[] = {1, 1, 5, 13, 9, 49, 41, 101, 291, 339, 1067, 657, 4453, 1137, 21131, 0};
static int joe_kuo_d6_initial_number02171[] = {1, 3, 3, 3, 17, 61, 11, 213, 27, 805, 1691, 1057, 6011, 11941, 18883, 0};
static int joe_kuo_d6_initial_number02172[] = {1, 3, 1, 7, 3, 51, 5, 63, 121, 3, 245, 2631, 3737, 16121, 26803, 0};
static int joe_kuo_d6_initial_number02173[] = {1, 3, 1, 1, 23, 51, 79, 19, 161, 107, 609, 3489, 3389, 4035, 2427, 0};
static int joe_kuo_d6_initial_number02174[] = {1, 3, 1, 1, 17, 11, 101, 101, 373, 63, 1641, 285, 1333, 165, 14025, 0};
static int joe_kuo_d6_initial_number02175[] = {1, 1, 1, 5, 1, 51, 83, 137, 45, 1019, 821, 867, 6055, 10443, 9857, 0};
static int joe_kuo_d6_initial_number02176[] = {1, 3, 1, 5, 17, 23, 25, 181, 429, 495, 317, 3219, 5963, 13945, 9969, 0};
static int joe_kuo_d6_initial_number02177[] = {1, 3, 7, 3, 3, 15, 123, 191, 369, 177, 1697, 2113, 3889, 5201, 21839, 0};
static int joe_kuo_d6_initial_number02178[] = {1, 3, 1, 11, 21, 39, 51, 139, 271, 605, 1007, 3513, 3365, 3781, 6799, 0};
static int joe_kuo_d6_initial_number02179[] = {1, 1, 7, 5, 13, 19, 47, 165, 249, 405, 255, 1295, 4513, 14395, 5587, 0};
static int joe_kuo_d6_initial_number02180[] = {1, 1, 3, 7, 5, 17, 99, 1, 393, 31, 621, 797, 6113, 16003, 32043, 0};
static int joe_kuo_d6_initial_number02181[] = {1, 3, 5, 13, 11, 21, 65, 81, 147, 443, 775, 3671, 7029, 11749, 3339, 0};
static int joe_kuo_d6_initial_number02182[] = {1, 3, 7, 1, 23, 33, 99, 177, 161, 577, 1729, 617, 3465, 11787, 17577, 0};
static int joe_kuo_d6_initial_number02183[] = {1, 1, 5, 7, 15, 15, 53, 193, 97, 255, 1223, 545, 5153, 873, 24525, 0};
static int joe_kuo_d6_initial_number02184[] = {1, 3, 5, 1, 7, 57, 47, 121, 383, 835, 1709, 2363, 4731, 12163, 7001, 0};
static int joe_kuo_d6_initial_number02185[] = {1, 3, 3, 11, 19, 33, 63, 99, 387, 95, 783, 1009, 6373, 4021, 7685, 0};
static int joe_kuo_d6_initial_number02186[] = {1, 1, 1, 15, 25, 33, 73, 135, 335, 785, 935, 1927, 5847, 10501, 7719, 0};
static int joe_kuo_d6_initial_number02187[] = {1, 1, 5, 3, 27, 45, 71, 215, 489, 157, 1189, 2577, 6901, 10219, 3025, 0};
static int joe_kuo_d6_initial_number02188[] = {1, 1, 7, 7, 21, 3, 97, 225, 101, 159, 293, 2789, 7955, 14829, 1209, 0};
static int joe_kuo_d6_initial_number02189[] = {1, 3, 1, 5, 23, 41, 83, 63, 361, 195, 1707, 2081, 5363, 6327, 179, 0};
static int joe_kuo_d6_initial_number02190[] = {1, 1, 3, 1, 21, 51, 59, 67, 175, 363, 825, 2971, 3321, 8837, 11805, 0};
static int joe_kuo_d6_initial_number02191[] = {1, 3, 7, 1, 19, 3, 15, 21, 429, 675, 1589, 2615, 2575, 1537, 7139, 0};
static int joe_kuo_d6_initial_number02192[] = {1, 3, 3, 5, 21, 29, 17, 115, 345, 397, 523, 1699, 7043, 11173, 3023, 0};
static int joe_kuo_d6_initial_number02193[] = {1, 1, 5, 7, 19, 63, 99, 175, 91, 433, 153, 3749, 517, 13667, 7423, 0};
static int joe_kuo_d6_initial_number02194[] = {1, 3, 7, 3, 25, 23, 53, 149, 65, 551, 1231, 365, 6637, 15137, 16319, 0};
static int joe_kuo_d6_initial_number02195[] = {1, 3, 7, 13, 5, 45, 11, 151, 323, 31, 1749, 409, 6753, 10503, 14991, 0};
static int joe_kuo_d6_initial_number02196[] = {1, 3, 7, 3, 5, 21, 29, 117, 321, 341, 1811, 3619, 4337, 12255, 8629, 0};
static int joe_kuo_d6_initial_number02197[] = {1, 3, 7, 3, 7, 3, 5, 221, 407, 671, 1763, 3669, 2353, 8175, 23489, 0};
static int joe_kuo_d6_initial_number02198[] = {1, 1, 3, 7, 11, 55, 53, 185, 247, 35, 1823, 513, 1379, 11827, 20069, 0};
static int joe_kuo_d6_initial_number02199[] = {1, 3, 3, 5, 29, 51, 73, 191, 185, 961, 881, 2019, 5651, 1019, 15587, 0};
static int joe_kuo_d6_initial_number02200[] = {1, 3, 7, 13, 7, 55, 59, 5, 417, 829, 453, 2339, 587, 13283, 797, 0};
static int joe_kuo_d6_initial_number02201[] = {1, 3, 7, 3, 11, 41, 75, 85, 65, 149, 1583, 529, 2707, 11479, 7109, 0};
static int joe_kuo_d6_initial_number02202[] = {1, 3, 7, 9, 13, 57, 37, 243, 91, 613, 665, 171, 1631, 13737, 2377, 0};
static int joe_kuo_d6_initial_number02203[] = {1, 1, 3, 7, 5, 43, 97, 53, 477, 793, 999, 3647, 2555, 7371, 19295, 0};
static int joe_kuo_d6_initial_number02204[] = {1, 1, 7, 1, 1, 9, 99, 253, 317, 817, 1559, 2081, 2529, 14611, 15997, 0};
static int joe_kuo_d6_initial_number02205[] = {1, 3, 3, 1, 5, 41, 57, 121, 387, 441, 709, 1511, 7045, 8409, 13297, 0};
static int joe_kuo_d6_initial_number02206[] = {1, 1, 1, 13, 29, 57, 63, 183, 327, 473, 1943, 213, 3973, 16289, 2739, 0};
static int joe_kuo_d6_initial_number02207[] = {1, 3, 7, 9, 25, 15, 75, 185, 335, 881, 1041, 3339, 4471, 6823, 21121, 0};
static int joe_kuo_d6_initial_number02208[] = {1, 3, 3, 13, 23, 3, 57, 117, 511, 927, 771, 3229, 949, 15487, 11963, 0};
static int joe_kuo_d6_initial_number02209[] = {1, 1, 3, 7, 27, 19, 55, 207, 331, 705, 1945, 797, 7125, 10493, 16585, 0};
static int joe_kuo_d6_initial_number02210[] = {1, 3, 1, 1, 29, 7, 91, 93, 459, 93, 1501, 1927, 6415, 16255, 9823, 0};
static int joe_kuo_d6_initial_number02211[] = {1, 1, 5, 5, 31, 11, 97, 179, 505, 807, 877, 4003, 4377, 8851, 4239, 0};
static int joe_kuo_d6_initial_number02212[] = {1, 1, 3, 5, 11, 25, 17, 131, 23, 95, 311, 1429, 2029, 13091, 23739, 0};
static int joe_kuo_d6_initial_number02213[] = {1, 1, 3, 11, 13, 27, 33, 127, 481, 117, 1127, 1619, 6493, 8507, 6615, 0};
static int joe_kuo_d6_initial_number02214[] = {1, 3, 1, 13, 19, 27, 89, 101, 27, 235, 1579, 1701, 4421, 16037, 16239, 0};
static int joe_kuo_d6_initial_number02215[] = {1, 3, 1, 15, 1, 15, 3, 117, 317, 475, 1691, 2423, 5519, 1703, 2969, 0};
static int joe_kuo_d6_initial_number02216[] = {1, 1, 3, 1, 13, 15, 19, 37, 237, 467, 1321, 453, 2169, 13313, 31499, 0};
static int joe_kuo_d6_initial_number02217[] = {1, 1, 3, 15, 29, 55, 31, 199, 85, 285, 967, 367, 3941, 151, 20587, 0};
static int joe_kuo_d6_initial_number02218[] = {1, 3, 7, 15, 7, 13, 31, 35, 117, 543, 1179, 3441, 3039, 11225, 30229, 0};
static int joe_kuo_d6_initial_number02219[] = {1, 1, 3, 15, 3, 43, 1, 63, 353, 395, 1775, 3493, 5175, 13193, 25343, 0};
static int joe_kuo_d6_initial_number02220[] = {1, 3, 3, 15, 17, 25, 57, 205, 411, 83, 1877, 2093, 5599, 12115, 8751, 0};
static int joe_kuo_d6_initial_number02221[] = {1, 1, 1, 11, 15, 9, 115, 99, 85, 887, 987, 4015, 7077, 3739, 21505, 0};
static int joe_kuo_d6_initial_number02222[] = {1, 3, 1, 11, 25, 39, 127, 37, 329, 273, 1531, 3211, 7115, 15501, 26575, 0};
static int joe_kuo_d6_initial_number02223[] = {1, 1, 5, 13, 15, 3, 3, 101, 431, 645, 493, 723, 8083, 1423, 14879, 0};
static int joe_kuo_d6_initial_number02224[] = {1, 3, 3, 5, 31, 35, 37, 131, 259, 849, 325, 3403, 3627, 3295, 30885, 0};
static int joe_kuo_d6_initial_number02225[] = {1, 3, 7, 1, 9, 3, 31, 201, 379, 907, 1005, 3333, 7457, 2533, 30357, 0};
static int joe_kuo_d6_initial_number02226[] = {1, 3, 1, 9, 7, 7, 95, 103, 121, 157, 895, 2683, 5839, 12403, 14327, 0};
static int joe_kuo_d6_initial_number02227[] = {1, 3, 7, 3, 13, 5, 55, 233, 3, 855, 859, 1115, 3883, 8041, 3353, 0};
static int joe_kuo_d6_initial_number02228[] = {1, 1, 5, 9, 3, 55, 99, 79, 263, 831, 1579, 205, 5673, 1999, 14879, 0};
static int joe_kuo_d6_initial_number02229[] = {1, 3, 1, 5, 17, 25, 85, 19, 189, 141, 877, 667, 4461, 11915, 23247, 0};
static int joe_kuo_d6_initial_number02230[] = {1, 1, 5, 5, 1, 35, 15, 219, 469, 725, 1793, 3683, 3661, 15627, 30197, 0};
static int joe_kuo_d6_initial_number02231[] = {1, 1, 7, 5, 27, 3, 41, 153, 431, 487, 759, 1345, 6735, 9937, 26277, 0};
static int joe_kuo_d6_initial_number02232[] = {1, 1, 1, 11, 11, 13, 41, 121, 265, 465, 1447, 5, 3407, 1907, 10037, 0};
static int joe_kuo_d6_initial_number02233[] = {1, 3, 5, 9, 15, 63, 5, 7, 407, 83, 365, 3687, 7721, 6973, 16967, 0};
static int joe_kuo_d6_initial_number02234[] = {1, 1, 7, 7, 5, 41, 75, 155, 417, 565, 1199, 1111, 2823, 10703, 22561, 0};
static int joe_kuo_d6_initial_number02235[] = {1, 3, 7, 5, 7, 43, 39, 185, 105, 327, 1977, 1137, 3261, 10583, 11661, 0};
static int joe_kuo_d6_initial_number02236[] = {1, 3, 7, 7, 19, 19, 103, 137, 169, 273, 1357, 3413, 7647, 10531, 32489, 0};
static int joe_kuo_d6_initial_number02237[] = {1, 1, 3, 13, 13, 3, 81, 23, 161, 295, 735, 2031, 1027, 15513, 20165, 0};
static int joe_kuo_d6_initial_number02238[] = {1, 1, 5, 1, 15, 1, 91, 35, 375, 207, 1417, 1115, 2237, 11749, 8509, 0};
static int joe_kuo_d6_initial_number02239[] = {1, 3, 7, 3, 25, 51, 49, 219, 195, 417, 1523, 3953, 5739, 7499, 27071, 0};
static int joe_kuo_d6_initial_number02240[] = {1, 1, 3, 11, 23, 29, 19, 81, 421, 633, 513, 547, 7545, 29, 11909, 0};
static int joe_kuo_d6_initial_number02241[] = {1, 1, 1, 7, 13, 61, 33, 243, 221, 231, 111, 879, 2861, 1795, 27531, 0};
static int joe_kuo_d6_initial_number02242[] = {1, 3, 7, 3, 19, 21, 1, 141, 159, 605, 969, 3013, 6583, 2447, 19919, 0};
static int joe_kuo_d6_initial_number02243[] = {1, 3, 7, 3, 31, 9, 91, 83, 29, 873, 929, 43, 2253, 12539, 23951, 0};
static int joe_kuo_d6_initial_number02244[] = {1, 1, 5, 3, 31, 15, 87, 105, 319, 973, 1489, 3417, 3377, 15749, 2357, 0};
static int joe_kuo_d6_initial_number02245[] = {1, 1, 3, 15, 7, 23, 3, 81, 383, 419, 713, 997, 6873, 593, 285, 0};
static int joe_kuo_d6_initial_number02246[] = {1, 3, 3, 1, 29, 13, 29, 101, 441, 693, 2039, 2951, 5921, 12129, 12053, 0};
static int joe_kuo_d6_initial_number02247[] = {1, 1, 3, 15, 9, 29, 97, 117, 421, 433, 1017, 125, 3607, 9415, 6843, 0};
static int joe_kuo_d6_initial_number02248[] = {1, 3, 5, 9, 11, 13, 75, 155, 413, 75, 109, 1599, 6161, 16115, 12621, 0};
static int joe_kuo_d6_initial_number02249[] = {1, 3, 3, 3, 11, 13, 49, 225, 401, 599, 1815, 1643, 7853, 13305, 25195, 0};
static int joe_kuo_d6_initial_number02250[] = {1, 3, 7, 5, 15, 11, 27, 95, 387, 931, 549, 2179, 3397, 15883, 16563, 0};
static int joe_kuo_d6_initial_number02251[] = {1, 1, 7, 3, 9, 39, 121, 5, 453, 27, 1747, 657, 2593, 1289, 12577, 0};
static int joe_kuo_d6_initial_number02252[] = {1, 3, 7, 5, 25, 25, 109, 49, 185, 985, 631, 803, 3865, 8955, 17901, 0};
static int joe_kuo_d6_initial_number02253[] = {1, 1, 3, 13, 3, 59, 47, 49, 139, 275, 1471, 2995, 5593, 14011, 18741, 0};
static int joe_kuo_d6_initial_number02254[] = {1, 1, 5, 15, 29, 11, 97, 225, 245, 291, 1873, 2365, 767, 3419, 14943, 0};
static int joe_kuo_d6_initial_number02255[] = {1, 3, 3, 5, 15, 17, 19, 209, 359, 891, 1375, 2003, 7247, 5299, 28841, 0};
static int joe_kuo_d6_initial_number02256[] = {1, 3, 7, 7, 9, 55, 105, 35, 77, 47, 1023, 13, 2901, 847, 10265, 0};
static int joe_kuo_d6_initial_number02257[] = {1, 3, 7, 7, 7, 5, 65, 233, 141, 277, 1333, 2357, 443, 7257, 21979, 0};
static int joe_kuo_d6_initial_number02258[] = {1, 3, 5, 11, 13, 63, 41, 87, 193, 737, 1085, 2317, 7869, 10149, 12163, 0};
static int joe_kuo_d6_initial_number02259[] = {1, 3, 1, 1, 7, 57, 75, 235, 461, 857, 155, 2679, 5925, 2565, 10881, 0};
static int joe_kuo_d6_initial_number02260[] = {1, 1, 7, 15, 13, 41, 63, 135, 433, 387, 1943, 2249, 5469, 11679, 28661, 0};
static int joe_kuo_d6_initial_number02261[] = {1, 3, 3, 13, 5, 3, 103, 161, 367, 649, 789, 1179, 4163, 5699, 16787, 0};
static int joe_kuo_d6_initial_number02262[] = {1, 3, 7, 7, 31, 13, 45, 141, 113, 769, 1035, 457, 6709, 14989, 27311, 0};
static int joe_kuo_d6_initial_number02263[] = {1, 1, 3, 1, 1, 43, 119, 145, 111, 593, 1139, 417, 637, 4437, 17285, 0};
static int joe_kuo_d6_initial_number02264[] = {1, 3, 5, 9, 9, 33, 19, 99, 201, 685, 1793, 2621, 6857, 8769, 5623, 0};
static int joe_kuo_d6_initial_number02265[] = {1, 3, 5, 5, 23, 43, 27, 189, 325, 415, 215, 1253, 3599, 1215, 10093, 0};
static int joe_kuo_d6_initial_number02266[] = {1, 1, 3, 13, 11, 35, 113, 173, 503, 19, 1459, 503, 5363, 3967, 13945, 0};
static int joe_kuo_d6_initial_number02267[] = {1, 1, 5, 11, 31, 49, 13, 173, 199, 623, 1231, 2495, 6581, 7957, 25321, 0};
static int joe_kuo_d6_initial_number02268[] = {1, 3, 1, 9, 23, 3, 79, 149, 505, 937, 1839, 3701, 1673, 8589, 8031, 0};
static int joe_kuo_d6_initial_number02269[] = {1, 3, 3, 5, 21, 27, 107, 11, 505, 407, 177, 3593, 4729, 12773, 11685, 0};
static int joe_kuo_d6_initial_number02270[] = {1, 3, 1, 11, 29, 49, 79, 53, 61, 895, 2035, 563, 5613, 6065, 6207, 0};
static int joe_kuo_d6_initial_number02271[] = {1, 1, 3, 7, 1, 53, 3, 215, 99, 865, 1749, 3533, 4305, 1243, 28463, 0};
static int joe_kuo_d6_initial_number02272[] = {1, 1, 1, 13, 31, 59, 115, 53, 403, 909, 847, 103, 4967, 10623, 30073, 0};
static int joe_kuo_d6_initial_number02273[] = {1, 1, 7, 5, 27, 1, 119, 83, 457, 81, 395, 811, 6221, 14337, 541, 0};
static int joe_kuo_d6_initial_number02274[] = {1, 1, 5, 5, 5, 53, 83, 117, 269, 327, 875, 101, 3343, 715, 26339, 0};
static int joe_kuo_d6_initial_number02275[] = {1, 1, 1, 11, 31, 39, 121, 147, 305, 383, 1211, 1897, 7647, 11687, 18907, 0};
static int joe_kuo_d6_initial_number02276[] = {1, 3, 3, 15, 23, 53, 17, 85, 395, 503, 61, 1745, 4713, 4641, 13787, 0};
static int joe_kuo_d6_initial_number02277[] = {1, 1, 7, 7, 27, 1, 105, 29, 287, 37, 959, 975, 4427, 4705, 10175, 0};
static int joe_kuo_d6_initial_number02278[] = {1, 3, 3, 5, 7, 63, 57, 199, 27, 107, 1095, 3923, 6969, 713, 11619, 0};
static int joe_kuo_d6_initial_number02279[] = {1, 3, 5, 1, 5, 49, 85, 45, 449, 45, 49, 3419, 1109, 455, 15917, 0};
static int joe_kuo_d6_initial_number02280[] = {1, 1, 1, 5, 13, 15, 39, 27, 467, 85, 1537, 3055, 1977, 8829, 25231, 0};
static int joe_kuo_d6_initial_number02281[] = {1, 1, 1, 15, 1, 47, 23, 121, 147, 547, 1865, 1491, 779, 3515, 12667, 0};
static int joe_kuo_d6_initial_number02282[] = {1, 3, 3, 1, 19, 5, 77, 101, 1, 721, 1149, 2967, 4925, 11889, 16655, 0};
static int joe_kuo_d6_initial_number02283[] = {1, 1, 1, 7, 1, 35, 95, 239, 127, 855, 1031, 455, 7631, 6039, 21983, 0};
static int joe_kuo_d6_initial_number02284[] = {1, 3, 7, 9, 23, 43, 75, 105, 335, 223, 1825, 3217, 413, 7473, 30005, 0};
static int joe_kuo_d6_initial_number02285[] = {1, 1, 5, 15, 29, 9, 43, 145, 223, 523, 511, 323, 5955, 11141, 22533, 0};
static int joe_kuo_d6_initial_number02286[] = {1, 1, 3, 1, 13, 61, 93, 133, 461, 233, 383, 693, 7347, 3165, 27493, 0};
static int joe_kuo_d6_initial_number02287[] = {1, 3, 7, 1, 13, 45, 113, 207, 53, 1007, 815, 1145, 2937, 289, 22195, 0};
static int joe_kuo_d6_initial_number02288[] = {1, 3, 5, 5, 19, 17, 113, 89, 19, 1023, 1625, 3277, 697, 5187, 15433, 0};
static int joe_kuo_d6_initial_number02289[] = {1, 1, 3, 13, 21, 15, 15, 197, 409, 391, 1993, 2475, 3189, 4431, 29585, 0};
static int joe_kuo_d6_initial_number02290[] = {1, 1, 5, 5, 31, 7, 111, 231, 187, 543, 45, 3863, 3811, 4573, 4437, 0};
static int joe_kuo_d6_initial_number02291[] = {1, 3, 3, 7, 19, 7, 123, 23, 79, 513, 189, 3663, 1291, 13257, 8949, 0};
static int joe_kuo_d6_initial_number02292[] = {1, 1, 5, 13, 3, 53, 109, 133, 157, 223, 651, 3059, 6055, 14455, 26903, 0};
static int joe_kuo_d6_initial_number02293[] = {1, 1, 7, 1, 23, 63, 59, 229, 17, 199, 643, 637, 7631, 13647, 7399, 0};
static int joe_kuo_d6_initial_number02294[] = {1, 1, 1, 3, 1, 51, 119, 67, 335, 543, 913, 3565, 4795, 13405, 7463, 0};
static int joe_kuo_d6_initial_number02295[] = {1, 1, 5, 3, 31, 5, 91, 97, 23, 223, 837, 1353, 1929, 12043, 10039, 0};
static int joe_kuo_d6_initial_number02296[] = {1, 3, 5, 7, 19, 3, 79, 171, 301, 687, 1545, 355, 4709, 12965, 16797, 0};
static int joe_kuo_d6_initial_number02297[] = {1, 3, 5, 11, 11, 49, 111, 123, 251, 569, 1605, 401, 5439, 13519, 8847, 0};
static int joe_kuo_d6_initial_number02298[] = {1, 3, 1, 3, 3, 53, 7, 55, 369, 633, 181, 4037, 2993, 15815, 8661, 0};
static int joe_kuo_d6_initial_number02299[] = {1, 1, 1, 13, 31, 29, 75, 167, 279, 597, 539, 1791, 8013, 4387, 9717, 0};
static int joe_kuo_d6_initial_number02300[] = {1, 1, 5, 7, 17, 15, 99, 183, 211, 49, 225, 3143, 4537, 13141, 23375, 0};
static int joe_kuo_d6_initial_number02301[] = {1, 1, 3, 5, 3, 59, 25, 149, 467, 69, 1939, 1007, 2765, 4693, 29815, 0};
static int joe_kuo_d6_initial_number02302[] = {1, 3, 1, 3, 17, 33, 119, 189, 447, 251, 879, 177, 5395, 13487, 9587, 0};
static int joe_kuo_d6_initial_number02303[] = {1, 3, 3, 7, 15, 31, 115, 3, 21, 817, 475, 1849, 6041, 12541, 18701, 0};
static int joe_kuo_d6_initial_number02304[] = {1, 1, 5, 13, 31, 33, 7, 115, 361, 587, 1919, 1007, 3537, 7493, 19357, 0};
static int joe_kuo_d6_initial_number02305[] = {1, 3, 7, 13, 23, 35, 15, 111, 123, 633, 805, 1983, 2109, 14477, 4985, 0};
static int joe_kuo_d6_initial_number02306[] = {1, 3, 3, 11, 25, 13, 11, 205, 97, 893, 927, 1291, 4007, 13593, 29693, 0};
static int joe_kuo_d6_initial_number02307[] = {1, 3, 5, 15, 9, 13, 121, 89, 215, 823, 1389, 1581, 8095, 4707, 16061, 0};
static int joe_kuo_d6_initial_number02308[] = {1, 3, 1, 3, 23, 39, 83, 23, 47, 941, 1419, 2389, 5699, 7519, 5829, 0};
static int joe_kuo_d6_initial_number02309[] = {1, 3, 1, 9, 23, 43, 79, 237, 93, 203, 695, 225, 5645, 3591, 16775, 0};
static int joe_kuo_d6_initial_number02310[] = {1, 3, 5, 3, 15, 19, 89, 129, 375, 125, 225, 1323, 2267, 11607, 17937, 0};
static int joe_kuo_d6_initial_number02311[] = {1, 3, 3, 1, 31, 37, 93, 133, 377, 959, 707, 621, 7179, 15493, 30287, 0};
static int joe_kuo_d6_initial_number02312[] = {1, 3, 7, 13, 5, 13, 15, 1, 37, 525, 1641, 2829, 6139, 4069, 19187, 0};
static int joe_kuo_d6_initial_number02313[] = {1, 3, 3, 9, 17, 3, 67, 97, 375, 845, 403, 973, 3919, 2275, 31627, 0};
static int joe_kuo_d6_initial_number02314[] = {1, 1, 3, 3, 25, 7, 91, 67, 271, 465, 481, 3477, 5229, 241, 8411, 0};
static int joe_kuo_d6_initial_number02315[] = {1, 1, 1, 11, 1, 41, 109, 115, 75, 787, 309, 2887, 179, 9073, 13895, 0};
static int joe_kuo_d6_initial_number02316[] = {1, 3, 3, 15, 11, 31, 113, 91, 303, 907, 1933, 2167, 7799, 11821, 20659, 0};
static int joe_kuo_d6_initial_number02317[] = {1, 3, 1, 15, 27, 17, 21, 41, 99, 137, 1397, 929, 5819, 11977, 6201, 0};
static int joe_kuo_d6_initial_number02318[] = {1, 1, 7, 13, 21, 29, 47, 239, 287, 305, 899, 2711, 1723, 3315, 199, 0};
static int joe_kuo_d6_initial_number02319[] = {1, 1, 1, 3, 31, 21, 101, 149, 107, 761, 1197, 1703, 4803, 8411, 10649, 0};
static int joe_kuo_d6_initial_number02320[] = {1, 1, 5, 15, 23, 45, 109, 221, 85, 619, 169, 1013, 3305, 9451, 26189, 0};
static int joe_kuo_d6_initial_number02321[] = {1, 3, 5, 13, 7, 57, 19, 153, 231, 627, 565, 1595, 6309, 5037, 25505, 0};
static int joe_kuo_d6_initial_number02322[] = {1, 1, 7, 7, 1, 45, 43, 79, 271, 59, 219, 2255, 1785, 7919, 24061, 0};
static int joe_kuo_d6_initial_number02323[] = {1, 3, 7, 5, 31, 57, 57, 231, 33, 227, 531, 679, 1141, 85, 19777, 0};
static int joe_kuo_d6_initial_number02324[] = {1, 1, 3, 15, 11, 59, 59, 169, 459, 693, 907, 1191, 3783, 12809, 6263, 0};
static int joe_kuo_d6_initial_number02325[] = {1, 1, 7, 13, 19, 21, 105, 65, 267, 141, 1547, 781, 7295, 13565, 17775, 0};
static int joe_kuo_d6_initial_number02326[] = {1, 3, 3, 5, 31, 63, 97, 155, 477, 661, 329, 797, 2539, 4061, 10537, 0};
static int joe_kuo_d6_initial_number02327[] = {1, 3, 3, 7, 11, 17, 119, 89, 71, 103, 1043, 413, 6035, 12829, 11559, 0};
static int joe_kuo_d6_initial_number02328[] = {1, 3, 1, 9, 5, 19, 53, 185, 103, 629, 2015, 1257, 5163, 10581, 13449, 0};
static int joe_kuo_d6_initial_number02329[] = {1, 1, 1, 5, 23, 35, 25, 129, 179, 959, 677, 2249, 6315, 12151, 3459, 0};
static int joe_kuo_d6_initial_number02330[] = {1, 1, 1, 1, 9, 47, 93, 45, 35, 45, 265, 2065, 6225, 25, 27135, 0};
static int joe_kuo_d6_initial_number02331[] = {1, 3, 1, 11, 21, 53, 127, 163, 311, 667, 597, 1561, 4515, 23, 9551, 0};
static int joe_kuo_d6_initial_number02332[] = {1, 1, 3, 3, 7, 47, 105, 211, 241, 95, 389, 899, 6001, 8129, 19889, 0};
static int joe_kuo_d6_initial_number02333[] = {1, 1, 3, 15, 29, 45, 9, 27, 483, 799, 269, 1811, 4493, 7109, 22149, 0};
static int joe_kuo_d6_initial_number02334[] = {1, 1, 3, 3, 29, 5, 57, 205, 187, 615, 1677, 3987, 4577, 8799, 16311, 0};
static int joe_kuo_d6_initial_number02335[] = {1, 1, 5, 3, 15, 5, 91, 101, 319, 445, 1261, 2039, 4071, 8249, 11611, 0};
static int joe_kuo_d6_initial_number02336[] = {1, 3, 7, 11, 19, 17, 1, 185, 153, 579, 1001, 2031, 2295, 16335, 24771, 0};
static int joe_kuo_d6_initial_number02337[] = {1, 3, 3, 15, 13, 45, 93, 185, 319, 667, 1085, 93, 577, 11551, 11355, 0};
static int joe_kuo_d6_initial_number02338[] = {1, 1, 7, 13, 3, 61, 45, 191, 51, 981, 1151, 2715, 2503, 4147, 4587, 0};
static int joe_kuo_d6_initial_number02339[] = {1, 1, 3, 3, 27, 17, 71, 141, 57, 981, 1033, 333, 4639, 15885, 1039, 0};
static int joe_kuo_d6_initial_number02340[] = {1, 3, 3, 15, 21, 55, 33, 123, 357, 893, 829, 4045, 5027, 11727, 13357, 0};
static int joe_kuo_d6_initial_number02341[] = {1, 1, 1, 9, 31, 47, 27, 223, 311, 205, 179, 3411, 4019, 10997, 28115, 0};
static int joe_kuo_d6_initial_number02342[] = {1, 3, 5, 1, 3, 39, 15, 7, 501, 641, 735, 295, 2005, 12641, 19779, 0};
static int joe_kuo_d6_initial_number02343[] = {1, 3, 3, 1, 15, 1, 75, 243, 329, 267, 1323, 2285, 5389, 11881, 15737, 0};
static int joe_kuo_d6_initial_number02344[] = {1, 1, 3, 3, 13, 17, 101, 99, 209, 939, 1147, 3221, 5159, 3435, 183, 0};
static int joe_kuo_d6_initial_number02345[] = {1, 1, 1, 1, 27, 43, 29, 179, 179, 659, 807, 313, 4165, 963, 11317, 0};
static int joe_kuo_d6_initial_number02346[] = {1, 1, 3, 13, 9, 51, 125, 245, 381, 555, 1383, 3887, 2045, 12829, 12029, 0};
static int joe_kuo_d6_initial_number02347[] = {1, 1, 1, 9, 29, 39, 55, 127, 235, 617, 1553, 3133, 7735, 14725, 16733, 0};
static int joe_kuo_d6_initial_number02348[] = {1, 1, 3, 5, 15, 9, 47, 217, 89, 987, 1083, 1045, 4745, 12915, 13719, 0};
static int joe_kuo_d6_initial_number02349[] = {1, 3, 3, 7, 23, 3, 35, 79, 45, 435, 1549, 2645, 2831, 10359, 10041, 0};
static int joe_kuo_d6_initial_number02350[] = {1, 1, 7, 15, 31, 61, 25, 223, 511, 319, 487, 1677, 739, 7097, 18417, 0};
static int joe_kuo_d6_initial_number02351[] = {1, 1, 7, 5, 19, 21, 123, 237, 299, 367, 1341, 1449, 2949, 8629, 11051, 0};
static int joe_kuo_d6_initial_number02352[] = {1, 3, 7, 7, 31, 53, 125, 33, 257, 719, 1297, 895, 5095, 10237, 12309, 0};
static int joe_kuo_d6_initial_number02353[] = {1, 3, 1, 5, 31, 59, 73, 211, 97, 209, 1289, 4033, 6143, 14275, 7997, 0};
static int joe_kuo_d6_initial_number02354[] = {1, 1, 5, 7, 31, 5, 75, 105, 389, 985, 9, 4033, 1185, 7821, 19083, 0};
static int joe_kuo_d6_initial_number02355[] = {1, 1, 1, 15, 11, 39, 73, 253, 275, 813, 25, 3441, 2493, 5873, 3739, 0};
static int joe_kuo_d6_initial_number02356[] = {1, 3, 7, 1, 31, 19, 119, 5, 109, 397, 1329, 3347, 5941, 12449, 2533, 0};
static int joe_kuo_d6_initial_number02357[] = {1, 1, 1, 1, 5, 59, 61, 175, 435, 985, 65, 3781, 5425, 15073, 16361, 0};
static int joe_kuo_d6_initial_number02358[] = {1, 3, 5, 7, 31, 13, 53, 87, 69, 305, 1455, 273, 2197, 4277, 24423, 0};
static int joe_kuo_d6_initial_number02359[] = {1, 3, 3, 15, 13, 13, 91, 171, 71, 583, 15, 3599, 6801, 10041, 26097, 0};
static int joe_kuo_d6_initial_number02360[] = {1, 3, 3, 5, 5, 13, 91, 225, 63, 69, 1795, 341, 461, 5015, 9471, 0};
static int joe_kuo_d6_initial_number02361[] = {1, 3, 7, 5, 21, 55, 109, 39, 459, 925, 229, 2855, 5807, 2117, 31739, 0};
static int joe_kuo_d6_initial_number02362[] = {1, 1, 3, 3, 1, 5, 17, 177, 401, 727, 1555, 3097, 1243, 5933, 14579, 0};
static int joe_kuo_d6_initial_number02363[] = {1, 1, 7, 3, 19, 19, 37, 87, 105, 73, 197, 4067, 6237, 10553, 9207, 0};
static int joe_kuo_d6_initial_number02364[] = {1, 1, 3, 15, 1, 55, 119, 115, 441, 3, 1003, 1631, 197, 12929, 25385, 0};
static int joe_kuo_d6_initial_number02365[] = {1, 3, 7, 11, 31, 1, 119, 49, 467, 647, 685, 2771, 3689, 11049, 26787, 0};
static int joe_kuo_d6_initial_number02366[] = {1, 1, 1, 11, 19, 19, 21, 73, 459, 935, 615, 371, 1099, 14407, 10375, 0};
static int joe_kuo_d6_initial_number02367[] = {1, 3, 5, 13, 15, 3, 107, 179, 259, 677, 1101, 315, 7673, 14639, 11241, 0};
static int joe_kuo_d6_initial_number02368[] = {1, 1, 7, 9, 15, 21, 93, 25, 349, 23, 1087, 27, 5691, 12997, 29301, 0};
static int joe_kuo_d6_initial_number02369[] = {1, 3, 3, 5, 7, 43, 1, 195, 69, 753, 1315, 2629, 3259, 5595, 19439, 0};
static int joe_kuo_d6_initial_number02370[] = {1, 3, 5, 5, 31, 9, 75, 217, 217, 197, 1925, 2033, 3585, 15219, 20251, 0};
static int joe_kuo_d6_initial_number02371[] = {1, 1, 5, 11, 17, 31, 3, 209, 315, 49, 949, 2267, 4611, 4375, 16431, 0};
static int joe_kuo_d6_initial_number02372[] = {1, 1, 7, 9, 17, 35, 13, 115, 119, 553, 1527, 2857, 3599, 391, 25101, 0};
static int joe_kuo_d6_initial_number02373[] = {1, 3, 3, 15, 13, 59, 17, 177, 301, 719, 909, 1663, 5033, 1129, 529, 0};
static int joe_kuo_d6_initial_number02374[] = {1, 1, 7, 5, 15, 13, 99, 157, 379, 975, 1019, 2251, 3807, 10621, 351, 0};
static int joe_kuo_d6_initial_number02375[] = {1, 3, 3, 13, 5, 57, 5, 31, 361, 981, 883, 3723, 2259, 5151, 11783, 0};
static int joe_kuo_d6_initial_number02376[] = {1, 1, 1, 13, 1, 43, 125, 19, 77, 509, 1817, 3795, 1863, 8401, 27253, 0};
static int joe_kuo_d6_initial_number02377[] = {1, 1, 5, 7, 19, 41, 21, 151, 89, 189, 769, 1937, 4497, 13607, 24691, 0};
static int joe_kuo_d6_initial_number02378[] = {1, 1, 1, 9, 21, 9, 1, 195, 31, 907, 1719, 1549, 809, 13629, 16597, 0};
static int joe_kuo_d6_initial_number02379[] = {1, 1, 1, 3, 21, 61, 103, 219, 311, 849, 523, 21, 4533, 6367, 3935, 0};
static int joe_kuo_d6_initial_number02380[] = {1, 1, 7, 9, 7, 33, 77, 19, 489, 933, 1729, 1813, 6741, 10701, 7, 0};
static int joe_kuo_d6_initial_number02381[] = {1, 1, 1, 5, 23, 53, 43, 63, 453, 209, 1313, 2847, 2641, 13783, 14983, 0};
static int joe_kuo_d6_initial_number02382[] = {1, 3, 7, 7, 15, 45, 83, 241, 509, 659, 213, 221, 5205, 6019, 18945, 0};
static int joe_kuo_d6_initial_number02383[] = {1, 1, 5, 9, 25, 43, 37, 9, 191, 505, 765, 295, 953, 1045, 11203, 0};
static int joe_kuo_d6_initial_number02384[] = {1, 3, 7, 11, 5, 49, 45, 177, 379, 695, 355, 1711, 7747, 497, 7597, 0};
static int joe_kuo_d6_initial_number02385[] = {1, 1, 5, 13, 23, 47, 101, 145, 301, 207, 195, 2225, 8093, 15345, 14097, 0};
static int joe_kuo_d6_initial_number02386[] = {1, 3, 7, 13, 9, 9, 55, 223, 343, 921, 1825, 3281, 2627, 855, 27651, 0};
static int joe_kuo_d6_initial_number02387[] = {1, 1, 7, 1, 21, 1, 67, 149, 433, 111, 577, 3675, 495, 9043, 23613, 0};
static int joe_kuo_d6_initial_number02388[] = {1, 3, 1, 13, 9, 39, 37, 73, 117, 559, 1131, 2511, 7599, 8393, 24747, 0};
static int joe_kuo_d6_initial_number02389[] = {1, 3, 3, 7, 11, 15, 85, 229, 7, 21, 1649, 739, 375, 13991, 27053, 0};
static int joe_kuo_d6_initial_number02390[] = {1, 1, 5, 5, 15, 41, 49, 117, 173, 825, 1343, 377, 1789, 12519, 30667, 0};
static int joe_kuo_d6_initial_number02391[] = {1, 1, 7, 15, 9, 11, 97, 99, 347, 729, 9, 1703, 1177, 5189, 9061, 0};
static int joe_kuo_d6_initial_number02392[] = {1, 1, 5, 11, 15, 25, 99, 63, 89, 675, 561, 215, 8111, 3955, 24635, 0};
static int joe_kuo_d6_initial_number02393[] = {1, 1, 1, 1, 7, 53, 99, 193, 233, 731, 733, 1883, 7783, 14413, 14003, 0};
static int joe_kuo_d6_initial_number02394[] = {1, 3, 5, 7, 31, 23, 45, 153, 337, 293, 443, 2301, 5135, 7455, 13123, 0};
static int joe_kuo_d6_initial_number02395[] = {1, 3, 1, 3, 23, 53, 23, 165, 53, 875, 1543, 1035, 4247, 5101, 28445, 0};
static int joe_kuo_d6_initial_number02396[] = {1, 1, 1, 15, 13, 41, 77, 93, 205, 743, 1101, 1413, 2371, 7183, 12337, 0};
static int joe_kuo_d6_initial_number02397[] = {1, 1, 3, 15, 17, 63, 25, 101, 147, 149, 1207, 3525, 2661, 9539, 11145, 0};
static int joe_kuo_d6_initial_number02398[] = {1, 3, 1, 9, 17, 5, 3, 35, 389, 909, 1017, 2803, 5243, 13025, 8851, 0};
static int joe_kuo_d6_initial_number02399[] = {1, 1, 7, 15, 19, 27, 69, 91, 71, 547, 1421, 831, 6969, 5517, 28233, 0};
static int joe_kuo_d6_initial_number02400[] = {1, 1, 3, 3, 17, 45, 55, 63, 263, 819, 1211, 2739, 655, 13269, 22281, 0};
static int joe_kuo_d6_initial_number02401[] = {1, 3, 1, 5, 23, 13, 81, 251, 83, 551, 491, 1029, 3561, 357, 23393, 0};
static int joe_kuo_d6_initial_number02402[] = {1, 3, 1, 13, 25, 27, 93, 143, 407, 403, 1395, 1733, 3187, 1917, 31453, 0};
static int joe_kuo_d6_initial_number02403[] = {1, 1, 7, 13, 3, 21, 85, 113, 483, 461, 1343, 561, 2081, 10857, 24253, 0};
static int joe_kuo_d6_initial_number02404[] = {1, 1, 1, 1, 11, 11, 53, 135, 25, 163, 1729, 617, 1533, 10881, 16041, 0};
static int joe_kuo_d6_initial_number02405[] = {1, 1, 5, 1, 3, 49, 125, 139, 77, 891, 815, 3431, 4875, 12513, 4595, 0};
static int joe_kuo_d6_initial_number02406[] = {1, 1, 1, 1, 27, 63, 111, 109, 421, 425, 345, 1613, 5447, 1357, 32413, 0};
static int joe_kuo_d6_initial_number02407[] = {1, 3, 5, 3, 17, 5, 37, 171, 259, 281, 1003, 2901, 3241, 15557, 21415, 0};
static int joe_kuo_d6_initial_number02408[] = {1, 1, 5, 11, 15, 55, 75, 199, 493, 215, 1625, 2345, 7873, 2325, 11003, 0};
static int joe_kuo_d6_initial_number02409[] = {1, 3, 7, 1, 21, 33, 23, 5, 495, 941, 1185, 475, 5799, 15161, 10677, 0};
static int joe_kuo_d6_initial_number02410[] = {1, 1, 5, 9, 31, 37, 37, 29, 217, 389, 297, 3097, 7319, 2601, 15307, 0};
static int joe_kuo_d6_initial_number02411[] = {1, 3, 7, 5, 7, 45, 111, 167, 297, 275, 1669, 2489, 1511, 15753, 1289, 0};
static int joe_kuo_d6_initial_number02412[] = {1, 3, 1, 7, 3, 45, 19, 11, 189, 199, 1227, 2647, 1897, 9077, 17189, 0};
static int joe_kuo_d6_initial_number02413[] = {1, 1, 1, 13, 15, 39, 19, 179, 147, 341, 283, 3029, 7599, 8937, 18761, 0};
static int joe_kuo_d6_initial_number02414[] = {1, 3, 3, 9, 3, 11, 41, 255, 365, 835, 921, 389, 919, 15223, 14541, 0};
static int joe_kuo_d6_initial_number02415[] = {1, 1, 3, 3, 5, 37, 29, 203, 313, 271, 1207, 487, 3711, 3811, 26757, 0};
static int joe_kuo_d6_initial_number02416[] = {1, 3, 7, 9, 19, 53, 49, 139, 351, 537, 1681, 1595, 5399, 13839, 28685, 0};
static int joe_kuo_d6_initial_number02417[] = {1, 3, 1, 1, 15, 35, 21, 37, 247, 891, 1855, 1243, 3137, 10381, 30379, 0};
static int joe_kuo_d6_initial_number02418[] = {1, 3, 7, 5, 9, 47, 91, 25, 479, 337, 781, 3545, 1045, 9491, 22853, 0};
static int joe_kuo_d6_initial_number02419[] = {1, 1, 5, 15, 19, 31, 81, 5, 117, 923, 565, 2443, 7383, 1795, 11685, 0};
static int joe_kuo_d6_initial_number02420[] = {1, 3, 3, 5, 17, 15, 21, 245, 489, 889, 2047, 2737, 7445, 14785, 13401, 0};
static int joe_kuo_d6_initial_number02421[] = {1, 1, 1, 15, 19, 45, 67, 117, 299, 607, 953, 743, 6863, 12123, 6701, 0};
static int joe_kuo_d6_initial_number02422[] = {1, 1, 3, 1, 1, 43, 19, 129, 345, 861, 209, 2387, 7205, 7131, 8235, 0};
static int joe_kuo_d6_initial_number02423[] = {1, 3, 5, 1, 1, 13, 75, 99, 333, 157, 23, 1217, 1857, 15479, 16031, 0};
static int joe_kuo_d6_initial_number02424[] = {1, 3, 3, 11, 7, 61, 119, 89, 491, 401, 227, 1739, 3807, 16003, 2875, 0};
static int joe_kuo_d6_initial_number02425[] = {1, 3, 7, 15, 13, 55, 3, 159, 405, 593, 975, 361, 2563, 6061, 28087, 0};
static int joe_kuo_d6_initial_number02426[] = {1, 1, 3, 13, 19, 5, 5, 9, 119, 41, 33, 1111, 4443, 4663, 28841, 0};
static int joe_kuo_d6_initial_number02427[] = {1, 1, 7, 7, 25, 59, 125, 255, 49, 947, 1673, 2947, 6369, 2267, 8813, 0};
static int joe_kuo_d6_initial_number02428[] = {1, 1, 5, 15, 25, 25, 111, 193, 217, 193, 821, 2779, 69, 2957, 27043, 0};
static int joe_kuo_d6_initial_number02429[] = {1, 3, 5, 7, 21, 19, 51, 157, 203, 487, 1745, 1875, 911, 14071, 7557, 0};
static int joe_kuo_d6_initial_number02430[] = {1, 1, 5, 9, 3, 15, 55, 73, 313, 245, 1061, 1929, 3035, 607, 11563, 0};
static int joe_kuo_d6_initial_number02431[] = {1, 1, 5, 7, 3, 57, 105, 121, 461, 43, 803, 1801, 4059, 2157, 17547, 0};
static int joe_kuo_d6_initial_number02432[] = {1, 3, 7, 7, 19, 11, 1, 121, 499, 841, 601, 3515, 2969, 13697, 8917, 0};
static int joe_kuo_d6_initial_number02433[] = {1, 3, 3, 3, 13, 35, 113, 231, 391, 689, 697, 2871, 7387, 715, 27005, 0};
static int joe_kuo_d6_initial_number02434[] = {1, 1, 1, 13, 19, 5, 17, 43, 175, 291, 987, 1917, 7635, 15655, 10689, 0};
static int joe_kuo_d6_initial_number02435[] = {1, 1, 7, 15, 19, 37, 121, 243, 125, 623, 1231, 29, 2325, 5147, 21435, 0};
static int joe_kuo_d6_initial_number02436[] = {1, 3, 5, 15, 25, 27, 57, 187, 77, 401, 1489, 2977, 5415, 3381, 2551, 0};
static int joe_kuo_d6_initial_number02437[] = {1, 1, 1, 7, 1, 1, 85, 27, 115, 559, 9, 2365, 711, 5733, 2819, 0};
static int joe_kuo_d6_initial_number02438[] = {1, 3, 1, 15, 9, 29, 61, 113, 169, 349, 591, 1061, 6041, 7613, 23691, 0};
static int joe_kuo_d6_initial_number02439[] = {1, 1, 5, 1, 13, 45, 49, 227, 345, 563, 87, 3597, 3961, 7205, 8441, 0};
static int joe_kuo_d6_initial_number02440[] = {1, 1, 1, 5, 3, 21, 121, 183, 463, 83, 1365, 539, 1485, 10063, 24867, 0};
static int joe_kuo_d6_initial_number02441[] = {1, 3, 5, 5, 3, 61, 101, 237, 41, 147, 1907, 3049, 7583, 8283, 6099, 0};
static int joe_kuo_d6_initial_number02442[] = {1, 3, 1, 15, 31, 57, 19, 155, 445, 805, 1793, 207, 1975, 3357, 14281, 0};
static int joe_kuo_d6_initial_number02443[] = {1, 1, 7, 13, 9, 39, 27, 73, 165, 345, 543, 4095, 133, 10469, 11573, 0};
static int joe_kuo_d6_initial_number02444[] = {1, 1, 7, 15, 17, 57, 99, 81, 359, 367, 1057, 1173, 4225, 15127, 2615, 0};
static int joe_kuo_d6_initial_number02445[] = {1, 3, 5, 3, 31, 23, 113, 111, 495, 947, 1625, 1195, 2053, 1509, 1347, 0};
static int joe_kuo_d6_initial_number02446[] = {1, 1, 5, 5, 9, 47, 25, 63, 455, 107, 771, 3815, 3827, 16287, 11615, 0};
static int joe_kuo_d6_initial_number02447[] = {1, 1, 7, 9, 17, 61, 51, 215, 63, 123, 1253, 3927, 721, 9647, 3283, 0};
static int joe_kuo_d6_initial_number02448[] = {1, 1, 5, 15, 11, 17, 83, 255, 473, 107, 681, 763, 7855, 8043, 31503, 0};
static int joe_kuo_d6_initial_number02449[] = {1, 3, 1, 7, 7, 31, 37, 5, 253, 155, 2017, 609, 1421, 14927, 25241, 0};
static int joe_kuo_d6_initial_number02450[] = {1, 3, 3, 13, 31, 25, 21, 241, 431, 193, 681, 2265, 5091, 11479, 21443, 0};
static int joe_kuo_d6_initial_number02451[] = {1, 3, 5, 5, 15, 9, 49, 255, 157, 995, 631, 1995, 3605, 9085, 24245, 0};
static int joe_kuo_d6_initial_number02452[] = {1, 3, 3, 7, 19, 31, 85, 153, 493, 951, 451, 1587, 6609, 3681, 13205, 0};
static int joe_kuo_d6_initial_number02453[] = {1, 1, 5, 1, 17, 41, 107, 231, 307, 361, 575, 3239, 3443, 16159, 20625, 0};
static int joe_kuo_d6_initial_number02454[] = {1, 1, 7, 9, 31, 49, 93, 79, 181, 117, 1241, 3645, 4901, 12599, 13247, 0};
static int joe_kuo_d6_initial_number02455[] = {1, 3, 3, 9, 7, 31, 127, 201, 11, 199, 1851, 23, 5667, 8159, 20951, 0};
static int joe_kuo_d6_initial_number02456[] = {1, 3, 3, 7, 3, 37, 29, 189, 65, 461, 769, 321, 6577, 16223, 16865, 0};
static int joe_kuo_d6_initial_number02457[] = {1, 1, 5, 11, 1, 13, 91, 167, 33, 111, 1445, 1047, 2479, 12623, 22893, 0};
static int joe_kuo_d6_initial_number02458[] = {1, 1, 3, 1, 3, 1, 47, 185, 329, 903, 1651, 3005, 907, 1255, 8303, 0};
static int joe_kuo_d6_initial_number02459[] = {1, 3, 5, 13, 19, 31, 5, 233, 265, 769, 1303, 2503, 2229, 14019, 20257, 0};
static int joe_kuo_d6_initial_number02460[] = {1, 3, 7, 3, 27, 11, 67, 195, 5, 661, 125, 3761, 7211, 16043, 7267, 0};
static int joe_kuo_d6_initial_number02461[] = {1, 1, 1, 3, 27, 13, 115, 25, 473, 417, 1751, 2223, 2099, 5913, 14273, 0};
static int joe_kuo_d6_initial_number02462[] = {1, 3, 7, 15, 13, 53, 99, 115, 225, 737, 1621, 539, 4131, 471, 31865, 0};
static int joe_kuo_d6_initial_number02463[] = {1, 1, 5, 5, 25, 19, 39, 207, 153, 569, 1755, 2477, 3065, 7383, 29919, 0};
static int joe_kuo_d6_initial_number02464[] = {1, 3, 5, 11, 13, 59, 33, 3, 435, 273, 701, 3819, 7291, 11803, 26111, 0};
static int joe_kuo_d6_initial_number02465[] = {1, 1, 3, 9, 29, 19, 71, 59, 93, 1019, 887, 83, 4675, 7541, 26821, 0};
static int joe_kuo_d6_initial_number02466[] = {1, 3, 1, 3, 21, 53, 71, 73, 43, 321, 1581, 1399, 4043, 12995, 16825, 0};
static int joe_kuo_d6_initial_number02467[] = {1, 3, 7, 15, 3, 13, 37, 11, 93, 873, 1193, 3481, 451, 15869, 17879, 0};
static int joe_kuo_d6_initial_number02468[] = {1, 3, 1, 11, 31, 19, 101, 57, 129, 753, 853, 463, 6757, 11083, 8667, 0};
static int joe_kuo_d6_initial_number02469[] = {1, 3, 5, 15, 25, 41, 25, 197, 235, 609, 905, 993, 3233, 1935, 24661, 0};
static int joe_kuo_d6_initial_number02470[] = {1, 3, 1, 5, 21, 7, 53, 107, 473, 77, 1135, 1045, 4933, 5615, 15931, 0};
static int joe_kuo_d6_initial_number02471[] = {1, 3, 7, 11, 3, 9, 105, 183, 151, 527, 425, 975, 4073, 913, 2793, 0};
static int joe_kuo_d6_initial_number02472[] = {1, 1, 7, 13, 19, 61, 81, 9, 413, 851, 1723, 1113, 1453, 8635, 3353, 0};
static int joe_kuo_d6_initial_number02473[] = {1, 3, 7, 15, 19, 53, 83, 31, 441, 343, 575, 935, 4543, 1303, 12567, 0};
static int joe_kuo_d6_initial_number02474[] = {1, 1, 1, 5, 29, 19, 119, 75, 3, 591, 845, 649, 1717, 13695, 26905, 0};
static int joe_kuo_d6_initial_number02475[] = {1, 1, 7, 9, 5, 53, 127, 191, 15, 773, 1433, 2899, 21, 4977, 17839, 0};
static int joe_kuo_d6_initial_number02476[] = {1, 1, 5, 9, 21, 9, 99, 115, 397, 99, 725, 3835, 973, 1219, 21159, 0};
static int joe_kuo_d6_initial_number02477[] = {1, 3, 5, 3, 7, 39, 29, 93, 303, 913, 981, 3549, 5225, 10907, 393, 0};
static int joe_kuo_d6_initial_number02478[] = {1, 3, 3, 11, 9, 25, 105, 101, 1, 867, 389, 2241, 773, 14123, 10015, 0};
static int joe_kuo_d6_initial_number02479[] = {1, 1, 5, 1, 1, 37, 117, 213, 391, 779, 1851, 1485, 1277, 5607, 819, 0};
static int joe_kuo_d6_initial_number02480[] = {1, 3, 7, 1, 3, 5, 43, 47, 483, 367, 749, 1693, 4961, 15257, 3775, 0};
static int joe_kuo_d6_initial_number02481[] = {1, 3, 3, 1, 27, 11, 21, 83, 437, 379, 1041, 393, 5611, 2421, 31739, 0};
static int joe_kuo_d6_initial_number02482[] = {1, 3, 5, 7, 19, 1, 79, 63, 53, 201, 1159, 2501, 6327, 11317, 9537, 0};
static int joe_kuo_d6_initial_number02483[] = {1, 3, 5, 13, 9, 37, 61, 217, 427, 913, 1311, 3503, 5473, 10583, 19723, 0};
static int joe_kuo_d6_initial_number02484[] = {1, 1, 3, 9, 11, 29, 121, 175, 141, 515, 925, 837, 6011, 10419, 32157, 0};
static int joe_kuo_d6_initial_number02485[] = {1, 3, 5, 9, 27, 57, 97, 175, 365, 367, 1737, 3845, 1257, 12243, 2201, 0};
static int joe_kuo_d6_initial_number02486[] = {1, 3, 3, 9, 23, 1, 53, 123, 127, 333, 1335, 707, 5747, 6541, 9809, 0};
static int joe_kuo_d6_initial_number02487[] = {1, 3, 1, 9, 17, 37, 101, 41, 91, 61, 433, 979, 4345, 12351, 10829, 0};
static int joe_kuo_d6_initial_number02488[] = {1, 3, 3, 13, 3, 21, 15, 49, 257, 99, 1793, 2987, 5233, 11625, 28069, 0};
static int joe_kuo_d6_initial_number02489[] = {1, 1, 7, 11, 21, 13, 89, 11, 135, 153, 783, 2893, 6815, 12007, 15605, 0};
static int joe_kuo_d6_initial_number02490[] = {1, 3, 7, 13, 5, 61, 73, 5, 269, 699, 925, 2925, 5919, 5841, 24875, 0};
static int joe_kuo_d6_initial_number02491[] = {1, 3, 5, 5, 25, 45, 43, 93, 15, 927, 1253, 319, 1173, 14559, 20221, 0};
static int joe_kuo_d6_initial_number02492[] = {1, 1, 3, 3, 27, 45, 9, 103, 447, 627, 1239, 3869, 2169, 49, 17917, 0};
static int joe_kuo_d6_initial_number02493[] = {1, 3, 7, 7, 11, 9, 1, 1, 1, 527, 825, 3295, 623, 2095, 10537, 0};
static int joe_kuo_d6_initial_number02494[] = {1, 3, 3, 11, 21, 11, 59, 165, 33, 743, 1461, 1535, 6393, 1301, 17823, 0};
static int joe_kuo_d6_initial_number02495[] = {1, 1, 7, 3, 19, 43, 47, 245, 469, 551, 1447, 1963, 169, 1481, 31925, 0};
static int joe_kuo_d6_initial_number02496[] = {1, 1, 3, 1, 11, 21, 51, 7, 251, 199, 1153, 767, 6417, 3417, 30171, 0};
static int joe_kuo_d6_initial_number02497[] = {1, 3, 7, 1, 31, 5, 41, 103, 447, 263, 211, 2029, 8021, 4705, 10579, 0};
static int joe_kuo_d6_initial_number02498[] = {1, 1, 3, 5, 17, 25, 55, 75, 393, 107, 2017, 2389, 1685, 14021, 9161, 0};
static int joe_kuo_d6_initial_number02499[] = {1, 1, 1, 9, 13, 1, 75, 237, 205, 461, 689, 2531, 2839, 13925, 23351, 0};
static int joe_kuo_d6_initial_number02500[] = {1, 3, 7, 1, 23, 39, 33, 189, 157, 571, 239, 1053, 1559, 1685, 23059, 0};
static int joe_kuo_d6_initial_number02501[] = {1, 3, 3, 3, 27, 61, 71, 121, 49, 157, 1341, 1707, 2417, 11689, 26507, 0};
static int joe_kuo_d6_initial_number02502[] = {1, 3, 7, 7, 19, 63, 47, 53, 95, 791, 1467, 1273, 2045, 755, 8555, 0};
static int joe_kuo_d6_initial_number02503[] = {1, 1, 3, 15, 27, 33, 21, 253, 317, 153, 1509, 1765, 3809, 601, 5907, 0};
static int joe_kuo_d6_initial_number02504[] = {1, 3, 5, 15, 11, 17, 97, 91, 165, 199, 1751, 2135, 1315, 3077, 29995, 0};
static int joe_kuo_d6_initial_number02505[] = {1, 3, 1, 5, 3, 33, 93, 49, 39, 743, 341, 2549, 7603, 3369, 30889, 0};
static int joe_kuo_d6_initial_number02506[] = {1, 1, 3, 13, 3, 5, 87, 63, 293, 785, 1591, 675, 3915, 2209, 18201, 0};
static int joe_kuo_d6_initial_number02507[] = {1, 3, 3, 11, 3, 15, 69, 231, 241, 127, 429, 2201, 8173, 12549, 25745, 0};
static int joe_kuo_d6_initial_number02508[] = {1, 1, 5, 11, 15, 39, 3, 29, 125, 685, 643, 1385, 829, 7347, 28793, 0};
static int joe_kuo_d6_initial_number02509[] = {1, 1, 7, 15, 27, 15, 59, 237, 299, 773, 1097, 3875, 6503, 7129, 28495, 0};
static int joe_kuo_d6_initial_number02510[] = {1, 3, 5, 13, 9, 17, 31, 227, 69, 443, 1633, 525, 1659, 14681, 15209, 0};
static int joe_kuo_d6_initial_number02511[] = {1, 3, 5, 5, 13, 51, 69, 173, 111, 433, 279, 2145, 2091, 9741, 24881, 0};
static int joe_kuo_d6_initial_number02512[] = {1, 3, 1, 7, 7, 35, 55, 51, 357, 99, 1789, 333, 2073, 10151, 14527, 0};
static int joe_kuo_d6_initial_number02513[] = {1, 3, 3, 7, 13, 41, 101, 87, 425, 701, 1143, 2733, 6473, 8667, 17419, 0};
static int joe_kuo_d6_initial_number02514[] = {1, 1, 5, 5, 25, 29, 63, 31, 385, 537, 563, 607, 6723, 9251, 6531, 0};
static int joe_kuo_d6_initial_number02515[] = {1, 3, 5, 5, 9, 63, 111, 131, 239, 723, 705, 2805, 6579, 12691, 17521, 0};
static int joe_kuo_d6_initial_number02516[] = {1, 3, 1, 7, 31, 55, 101, 225, 477, 271, 611, 3179, 7859, 9835, 2165, 0};
static int joe_kuo_d6_initial_number02517[] = {1, 1, 3, 3, 5, 15, 81, 127, 391, 333, 419, 1091, 5997, 12315, 31521, 0};
static int joe_kuo_d6_initial_number02518[] = {1, 3, 5, 15, 23, 7, 35, 109, 181, 295, 825, 419, 969, 15753, 9365, 0};
static int joe_kuo_d6_initial_number02519[] = {1, 3, 5, 5, 25, 23, 69, 177, 325, 359, 1577, 619, 6233, 11753, 8103, 0};
static int joe_kuo_d6_initial_number02520[] = {1, 3, 5, 11, 31, 13, 79, 61, 241, 1011, 1961, 949, 6211, 497, 7099, 0};
static int joe_kuo_d6_initial_number02521[] = {1, 3, 5, 3, 25, 19, 67, 235, 337, 1015, 1485, 355, 3653, 12735, 14503, 0};
static int joe_kuo_d6_initial_number02522[] = {1, 3, 5, 7, 31, 23, 35, 231, 147, 15, 263, 1995, 431, 5941, 18931, 0};
static int joe_kuo_d6_initial_number02523[] = {1, 3, 3, 7, 1, 35, 37, 7, 85, 443, 715, 743, 2189, 12537, 17427, 0};
static int joe_kuo_d6_initial_number02524[] = {1, 1, 3, 1, 7, 41, 1, 209, 121, 929, 661, 3999, 955, 5123, 31115, 0};
static int joe_kuo_d6_initial_number02525[] = {1, 1, 3, 5, 11, 43, 127, 125, 107, 293, 273, 2071, 3003, 11631, 7769, 0};
static int joe_kuo_d6_initial_number02526[] = {1, 1, 1, 13, 13, 29, 39, 217, 111, 779, 1287, 1675, 4201, 4869, 20403, 0};
static int joe_kuo_d6_initial_number02527[] = {1, 1, 3, 15, 25, 53, 25, 135, 389, 925, 1971, 663, 7545, 2673, 7725, 0};
static int joe_kuo_d6_initial_number02528[] = {1, 1, 5, 13, 3, 59, 97, 91, 357, 45, 947, 3031, 8095, 6269, 13975, 0};
static int joe_kuo_d6_initial_number02529[] = {1, 1, 5, 15, 25, 31, 1, 171, 375, 939, 507, 3591, 1089, 13605, 2813, 0};
static int joe_kuo_d6_initial_number02530[] = {1, 1, 3, 7, 25, 21, 41, 131, 147, 737, 9, 1603, 1859, 11573, 28397, 0};
static int joe_kuo_d6_initial_number02531[] = {1, 3, 3, 9, 21, 9, 59, 27, 169, 875, 711, 1389, 2899, 7937, 4173, 0};
static int joe_kuo_d6_initial_number02532[] = {1, 1, 5, 9, 13, 29, 71, 39, 51, 337, 1067, 2661, 1203, 5967, 19249, 0};
static int joe_kuo_d6_initial_number02533[] = {1, 3, 7, 1, 17, 21, 43, 79, 181, 741, 1901, 3445, 7171, 2109, 1589, 0};
static int joe_kuo_d6_initial_number02534[] = {1, 1, 3, 9, 23, 37, 105, 51, 227, 775, 1265, 2987, 2197, 13903, 28891, 0};
static int joe_kuo_d6_initial_number02535[] = {1, 1, 1, 13, 23, 47, 111, 41, 93, 261, 75, 2155, 4301, 11517, 16101, 0};
static int joe_kuo_d6_initial_number02536[] = {1, 1, 3, 3, 27, 27, 123, 125, 501, 775, 413, 1065, 7607, 15065, 26013, 0};
static int joe_kuo_d6_initial_number02537[] = {1, 3, 7, 3, 27, 11, 59, 87, 207, 743, 1765, 2969, 913, 8101, 11583, 0};
static int joe_kuo_d6_initial_number02538[] = {1, 3, 3, 1, 23, 7, 113, 17, 285, 993, 695, 2399, 5019, 4779, 28917, 0};
static int joe_kuo_d6_initial_number02539[] = {1, 3, 1, 5, 11, 51, 49, 139, 213, 435, 1475, 2209, 6695, 12981, 9851, 0};
static int joe_kuo_d6_initial_number02540[] = {1, 3, 5, 7, 1, 63, 31, 151, 173, 767, 1453, 1497, 6911, 9597, 25551, 0};
static int joe_kuo_d6_initial_number02541[] = {1, 1, 7, 7, 21, 53, 39, 159, 389, 231, 309, 359, 7701, 14819, 5175, 0};
static int joe_kuo_d6_initial_number02542[] = {1, 1, 1, 1, 11, 47, 83, 29, 247, 89, 369, 2727, 3103, 14421, 17369, 0};
static int joe_kuo_d6_initial_number02543[] = {1, 3, 1, 5, 25, 25, 111, 245, 239, 755, 113, 1765, 3583, 917, 403, 0};
static int joe_kuo_d6_initial_number02544[] = {1, 3, 3, 3, 5, 59, 85, 151, 463, 591, 743, 3767, 121, 2927, 11031, 0};
static int joe_kuo_d6_initial_number02545[] = {1, 3, 5, 9, 11, 39, 77, 161, 275, 233, 1991, 2683, 6545, 2423, 32113, 0};
static int joe_kuo_d6_initial_number02546[] = {1, 3, 5, 11, 5, 57, 13, 229, 329, 757, 1863, 3959, 4243, 7265, 15599, 0};
static int joe_kuo_d6_initial_number02547[] = {1, 1, 1, 1, 1, 23, 19, 67, 453, 593, 2011, 1813, 4695, 8903, 9623, 0};
static int joe_kuo_d6_initial_number02548[] = {1, 3, 3, 7, 1, 29, 103, 255, 493, 647, 1709, 4065, 4199, 949, 28829, 0};
static int joe_kuo_d6_initial_number02549[] = {1, 1, 7, 9, 3, 55, 53, 33, 5, 223, 423, 3347, 7647, 7211, 25157, 0};
static int joe_kuo_d6_initial_number02550[] = {1, 3, 5, 13, 3, 43, 79, 255, 471, 573, 1007, 2119, 6731, 10047, 23179, 0};
static int joe_kuo_d6_initial_number02551[] = {1, 1, 1, 3, 7, 39, 55, 61, 53, 377, 435, 401, 3307, 12621, 14299, 0};
static int joe_kuo_d6_initial_number02552[] = {1, 3, 3, 7, 21, 31, 67, 17, 243, 425, 747, 2995, 1389, 2557, 18415, 0};
static int joe_kuo_d6_initial_number02553[] = {1, 3, 1, 3, 3, 39, 75, 11, 447, 249, 1135, 1011, 1657, 10767, 19501, 0};
static int joe_kuo_d6_initial_number02554[] = {1, 3, 1, 11, 17, 51, 117, 129, 17, 143, 785, 103, 5049, 14703, 28479, 0};
static int joe_kuo_d6_initial_number02555[] = {1, 3, 7, 5, 13, 17, 75, 255, 75, 661, 1175, 477, 1811, 1479, 15783, 0};
static int joe_kuo_d6_initial_number02556[] = {1, 3, 7, 9, 11, 57, 101, 77, 431, 247, 997, 3657, 5117, 6815, 3841, 0};
static int joe_kuo_d6_initial_number02557[] = {1, 1, 5, 1, 17, 21, 101, 183, 209, 69, 299, 1585, 6381, 12983, 10053, 0};
static int joe_kuo_d6_initial_number02558[] = {1, 1, 7, 3, 5, 13, 21, 63, 83, 857, 749, 1251, 5363, 9629, 16563, 0};
static int joe_kuo_d6_initial_number02559[] = {1, 3, 3, 9, 3, 59, 9, 45, 55, 489, 137, 2423, 2661, 12111, 4375, 0};
static int joe_kuo_d6_initial_number02560[] = {1, 1, 5, 9, 23, 9, 41, 177, 447, 671, 1631, 3115, 4215, 14435, 8743, 0};
static int joe_kuo_d6_initial_number02561[] = {1, 3, 7, 11, 19, 23, 15, 221, 413, 783, 1247, 2343, 4397, 3145, 32043, 0};
static int joe_kuo_d6_initial_number02562[] = {1, 3, 3, 1, 31, 55, 31, 87, 333, 849, 1777, 343, 5199, 1507, 11621, 0};
static int joe_kuo_d6_initial_number02563[] = {1, 3, 7, 3, 17, 57, 63, 63, 111, 977, 631, 3019, 2953, 14273, 29209, 0};
static int joe_kuo_d6_initial_number02564[] = {1, 3, 1, 13, 9, 39, 87, 15, 397, 185, 701, 1487, 3807, 13727, 19883, 0};
static int joe_kuo_d6_initial_number02565[] = {1, 3, 7, 1, 17, 57, 57, 157, 119, 181, 899, 353, 3603, 15041, 7421, 0};
static int joe_kuo_d6_initial_number02566[] = {1, 1, 7, 3, 29, 13, 29, 191, 105, 373, 961, 1991, 5531, 6793, 29497, 0};
static int joe_kuo_d6_initial_number02567[] = {1, 3, 3, 11, 7, 61, 65, 39, 215, 187, 191, 1651, 2481, 3951, 24965, 0};
static int joe_kuo_d6_initial_number02568[] = {1, 1, 7, 5, 25, 11, 105, 23, 257, 771, 1359, 2837, 7821, 12223, 28033, 0};
static int joe_kuo_d6_initial_number02569[] = {1, 3, 5, 11, 3, 3, 23, 139, 407, 885, 1679, 2979, 8149, 14281, 12487, 0};
static int joe_kuo_d6_initial_number02570[] = {1, 3, 7, 3, 21, 45, 13, 85, 249, 1015, 2023, 1429, 965, 7091, 31721, 0};
static int joe_kuo_d6_initial_number02571[] = {1, 1, 1, 13, 19, 5, 119, 47, 91, 285, 211, 2607, 4287, 9197, 455, 0};
static int joe_kuo_d6_initial_number02572[] = {1, 3, 1, 1, 9, 59, 25, 137, 121, 287, 577, 3325, 2365, 8823, 5033, 0};
static int joe_kuo_d6_initial_number02573[] = {1, 3, 3, 13, 25, 63, 99, 43, 15, 855, 245, 3189, 59, 5181, 21299, 0};
static int joe_kuo_d6_initial_number02574[] = {1, 3, 5, 11, 7, 9, 41, 157, 359, 773, 1347, 2049, 4589, 13731, 32133, 0};
static int joe_kuo_d6_initial_number02575[] = {1, 1, 7, 11, 31, 37, 83, 105, 183, 375, 79, 1821, 1989, 15199, 22207, 0};
static int joe_kuo_d6_initial_number02576[] = {1, 1, 5, 3, 23, 37, 127, 9, 467, 651, 993, 69, 6943, 4093, 20871, 0};
static int joe_kuo_d6_initial_number02577[] = {1, 1, 3, 15, 31, 49, 123, 149, 211, 371, 1825, 3011, 485, 1251, 17343, 0};
static int joe_kuo_d6_initial_number02578[] = {1, 1, 1, 15, 11, 33, 127, 251, 89, 317, 1869, 219, 2275, 14201, 27063, 0};
static int joe_kuo_d6_initial_number02579[] = {1, 1, 5, 5, 19, 5, 81, 35, 233, 95, 9, 863, 725, 11095, 16217, 0};
static int joe_kuo_d6_initial_number02580[] = {1, 1, 1, 15, 23, 47, 51, 43, 169, 637, 865, 57, 1509, 1683, 7587, 0};
static int joe_kuo_d6_initial_number02581[] = {1, 3, 1, 3, 7, 7, 117, 187, 273, 303, 717, 3091, 2083, 3315, 647, 0};
static int joe_kuo_d6_initial_number02582[] = {1, 1, 5, 15, 13, 27, 23, 227, 145, 547, 1783, 987, 6895, 7135, 11023, 0};
static int joe_kuo_d6_initial_number02583[] = {1, 1, 5, 11, 21, 39, 57, 203, 477, 17, 985, 1729, 4297, 7483, 13263, 0};
static int joe_kuo_d6_initial_number02584[] = {1, 3, 7, 9, 3, 49, 71, 45, 143, 967, 39, 583, 2123, 5165, 17437, 0};
static int joe_kuo_d6_initial_number02585[] = {1, 1, 1, 9, 21, 51, 71, 163, 441, 709, 397, 445, 6167, 7753, 11513, 0};
static int joe_kuo_d6_initial_number02586[] = {1, 1, 7, 7, 27, 35, 5, 181, 449, 53, 621, 3401, 5263, 4557, 9141, 0};
static int joe_kuo_d6_initial_number02587[] = {1, 1, 5, 7, 7, 37, 83, 111, 485, 881, 465, 3371, 5603, 371, 29393, 0};
static int joe_kuo_d6_initial_number02588[] = {1, 3, 1, 15, 7, 47, 41, 245, 377, 823, 309, 3929, 2159, 13917, 13365, 0};
static int joe_kuo_d6_initial_number02589[] = {1, 3, 7, 7, 7, 29, 25, 141, 19, 611, 79, 2689, 109, 12321, 8345, 0};
static int joe_kuo_d6_initial_number02590[] = {1, 1, 1, 13, 3, 53, 113, 151, 381, 791, 137, 3185, 3567, 211, 597, 0};
static int joe_kuo_d6_initial_number02591[] = {1, 1, 3, 9, 7, 53, 87, 89, 491, 861, 467, 3763, 2025, 4187, 9637, 0};
static int joe_kuo_d6_initial_number02592[] = {1, 1, 7, 1, 27, 33, 71, 41, 63, 1011, 741, 1135, 175, 3739, 21493, 0};
static int joe_kuo_d6_initial_number02593[] = {1, 3, 3, 5, 9, 19, 55, 175, 325, 55, 1193, 1423, 2049, 9633, 17515, 0};
static int joe_kuo_d6_initial_number02594[] = {1, 1, 3, 1, 27, 55, 69, 103, 401, 707, 825, 399, 6799, 13199, 6295, 0};
static int joe_kuo_d6_initial_number02595[] = {1, 3, 7, 3, 19, 63, 25, 151, 17, 159, 1673, 615, 6317, 13261, 26267, 0};
static int joe_kuo_d6_initial_number02596[] = {1, 3, 7, 9, 27, 1, 77, 129, 423, 647, 707, 2579, 3525, 6723, 31615, 0};
static int joe_kuo_d6_initial_number02597[] = {1, 3, 3, 7, 7, 31, 35, 241, 309, 369, 895, 3683, 4795, 11319, 451, 0};
static int joe_kuo_d6_initial_number02598[] = {1, 3, 5, 7, 17, 7, 117, 141, 267, 713, 569, 1915, 4369, 7793, 30853, 0};
static int joe_kuo_d6_initial_number02599[] = {1, 3, 7, 1, 29, 61, 81, 73, 413, 13, 1977, 3229, 5853, 8451, 15539, 0};
static int joe_kuo_d6_initial_number02600[] = {1, 3, 7, 1, 5, 45, 109, 21, 431, 487, 2019, 2647, 927, 16015, 10711, 0};
static int joe_kuo_d6_initial_number02601[] = {1, 3, 1, 3, 11, 19, 37, 183, 451, 377, 269, 3993, 3229, 4899, 26561, 0};
static int joe_kuo_d6_initial_number02602[] = {1, 3, 1, 11, 5, 19, 121, 55, 57, 117, 687, 83, 3047, 1367, 17595, 0};
static int joe_kuo_d6_initial_number02603[] = {1, 3, 1, 7, 17, 31, 41, 219, 239, 963, 199, 2895, 5599, 7639, 17201, 0};
static int joe_kuo_d6_initial_number02604[] = {1, 3, 3, 5, 27, 53, 71, 183, 509, 771, 1809, 1539, 2229, 4893, 17115, 0};
static int joe_kuo_d6_initial_number02605[] = {1, 1, 3, 9, 9, 9, 13, 49, 265, 643, 1929, 859, 497, 9797, 27771, 0};
static int joe_kuo_d6_initial_number02606[] = {1, 3, 7, 11, 19, 39, 115, 139, 207, 903, 963, 1849, 4403, 6229, 10021, 0};
static int joe_kuo_d6_initial_number02607[] = {1, 3, 7, 13, 3, 57, 99, 223, 503, 423, 1755, 807, 1885, 213, 18723, 0};
static int joe_kuo_d6_initial_number02608[] = {1, 3, 7, 15, 11, 15, 111, 193, 243, 599, 593, 3385, 5393, 15073, 17777, 0};
static int joe_kuo_d6_initial_number02609[] = {1, 1, 5, 3, 19, 63, 121, 207, 99, 435, 1961, 2747, 6405, 3971, 23481, 0};
static int joe_kuo_d6_initial_number02610[] = {1, 3, 5, 13, 9, 29, 79, 131, 415, 49, 229, 1003, 3263, 12975, 15987, 0};
static int joe_kuo_d6_initial_number02611[] = {1, 1, 3, 7, 1, 41, 127, 155, 29, 73, 963, 659, 2741, 3465, 2595, 0};
static int joe_kuo_d6_initial_number02612[] = {1, 1, 3, 5, 23, 23, 93, 233, 113, 521, 427, 1557, 6917, 12953, 22441, 0};
static int joe_kuo_d6_initial_number02613[] = {1, 1, 5, 13, 5, 25, 85, 191, 387, 69, 955, 243, 4473, 9813, 21711, 0};
static int joe_kuo_d6_initial_number02614[] = {1, 3, 3, 7, 1, 53, 95, 65, 231, 995, 539, 2103, 5513, 14087, 28655, 0};
static int joe_kuo_d6_initial_number02615[] = {1, 3, 5, 3, 17, 13, 19, 227, 197, 91, 1437, 1121, 3307, 6903, 3297, 0};
static int joe_kuo_d6_initial_number02616[] = {1, 1, 5, 11, 31, 29, 109, 171, 257, 783, 861, 9, 4895, 1859, 10909, 0};
static int joe_kuo_d6_initial_number02617[] = {1, 1, 7, 13, 5, 47, 61, 5, 363, 351, 1525, 823, 2883, 12435, 17629, 0};
static int joe_kuo_d6_initial_number02618[] = {1, 1, 5, 11, 9, 3, 69, 159, 371, 477, 1223, 1973, 2757, 413, 31223, 0};
static int joe_kuo_d6_initial_number02619[] = {1, 1, 3, 5, 23, 45, 43, 195, 423, 829, 1673, 1563, 6633, 14775, 21097, 0};
static int joe_kuo_d6_initial_number02620[] = {1, 1, 3, 3, 13, 9, 107, 209, 49, 609, 1047, 3691, 7483, 4269, 7557, 0};
static int joe_kuo_d6_initial_number02621[] = {1, 1, 3, 15, 3, 43, 73, 161, 53, 813, 325, 3439, 7009, 8691, 11711, 0};
static int joe_kuo_d6_initial_number02622[] = {1, 1, 3, 3, 23, 45, 99, 61, 407, 15, 1515, 1557, 953, 8567, 13729, 0};
static int joe_kuo_d6_initial_number02623[] = {1, 1, 5, 9, 31, 35, 117, 57, 227, 923, 1373, 1811, 3405, 11979, 10149, 0};
static int joe_kuo_d6_initial_number02624[] = {1, 1, 3, 9, 15, 53, 105, 209, 153, 67, 1477, 667, 3077, 4911, 3871, 0};
static int joe_kuo_d6_initial_number02625[] = {1, 1, 3, 3, 21, 53, 93, 101, 183, 1023, 3, 3041, 5815, 9043, 5801, 0};
static int joe_kuo_d6_initial_number02626[] = {1, 3, 3, 5, 17, 49, 127, 161, 321, 869, 1369, 923, 3235, 711, 30007, 0};
static int joe_kuo_d6_initial_number02627[] = {1, 1, 3, 3, 15, 17, 97, 229, 389, 159, 1075, 2001, 7905, 15191, 14693, 0};
static int joe_kuo_d6_initial_number02628[] = {1, 1, 5, 11, 5, 5, 121, 173, 95, 173, 1883, 3915, 1439, 9981, 24375, 0};
static int joe_kuo_d6_initial_number02629[] = {1, 3, 3, 1, 31, 53, 29, 189, 37, 623, 217, 949, 3959, 7189, 25427, 0};
static int joe_kuo_d6_initial_number02630[] = {1, 3, 5, 9, 21, 45, 101, 23, 355, 729, 797, 2317, 2931, 7433, 29175, 0};
static int joe_kuo_d6_initial_number02631[] = {1, 3, 7, 1, 1, 63, 63, 155, 237, 865, 1169, 43, 7335, 6445, 7979, 0};
static int joe_kuo_d6_initial_number02632[] = {1, 3, 7, 7, 11, 51, 37, 199, 503, 991, 319, 3013, 7885, 12837, 32419, 0};
static int joe_kuo_d6_initial_number02633[] = {1, 3, 7, 7, 27, 31, 101, 243, 37, 811, 1909, 109, 6455, 7903, 11821, 0};
static int joe_kuo_d6_initial_number02634[] = {1, 1, 3, 13, 23, 21, 89, 99, 243, 605, 1017, 1871, 1101, 12825, 8227, 0};
static int joe_kuo_d6_initial_number02635[] = {1, 3, 3, 13, 19, 3, 51, 59, 501, 605, 385, 2189, 3229, 7981, 31407, 0};
static int joe_kuo_d6_initial_number02636[] = {1, 1, 1, 1, 25, 11, 127, 215, 295, 237, 1245, 3657, 7803, 3897, 655, 0};
static int joe_kuo_d6_initial_number02637[] = {1, 1, 7, 7, 5, 9, 63, 129, 143, 417, 795, 3409, 2847, 5887, 3093, 0};
static int joe_kuo_d6_initial_number02638[] = {1, 3, 3, 13, 7, 57, 67, 57, 5, 847, 1185, 3349, 4841, 11457, 8857, 0};
static int joe_kuo_d6_initial_number02639[] = {1, 1, 3, 3, 9, 53, 51, 43, 85, 437, 13, 2543, 3651, 15493, 767, 0};
static int joe_kuo_d6_initial_number02640[] = {1, 1, 7, 9, 1, 49, 97, 115, 133, 1011, 1399, 2653, 7765, 13999, 12097, 0};
static int joe_kuo_d6_initial_number02641[] = {1, 1, 5, 1, 3, 27, 123, 107, 389, 401, 1759, 1333, 1371, 5277, 14865, 0};
static int joe_kuo_d6_initial_number02642[] = {1, 1, 5, 1, 13, 23, 3, 123, 137, 821, 399, 1671, 3095, 3121, 31387, 0};
static int joe_kuo_d6_initial_number02643[] = {1, 1, 5, 3, 7, 35, 57, 237, 509, 753, 1783, 2815, 6495, 13283, 7091, 0};
static int joe_kuo_d6_initial_number02644[] = {1, 1, 7, 11, 5, 37, 77, 109, 7, 969, 1087, 3705, 1695, 14223, 28959, 0};
static int joe_kuo_d6_initial_number02645[] = {1, 3, 1, 11, 25, 5, 25, 163, 179, 185, 671, 1031, 4537, 11601, 9323, 0};
static int joe_kuo_d6_initial_number02646[] = {1, 1, 3, 7, 17, 25, 49, 221, 183, 619, 1953, 343, 4523, 14883, 6833, 0};
static int joe_kuo_d6_initial_number02647[] = {1, 3, 7, 5, 27, 19, 59, 153, 11, 807, 513, 3019, 6875, 5307, 8405, 0};
static int joe_kuo_d6_initial_number02648[] = {1, 1, 1, 13, 25, 41, 21, 109, 321, 135, 497, 1235, 5177, 5167, 18609, 0};
static int joe_kuo_d6_initial_number02649[] = {1, 1, 7, 5, 21, 53, 25, 197, 411, 503, 1009, 1921, 4305, 2633, 31415, 0};
static int joe_kuo_d6_initial_number02650[] = {1, 3, 5, 1, 25, 45, 27, 227, 271, 903, 639, 3805, 657, 8683, 29585, 0};
static int joe_kuo_d6_initial_number02651[] = {1, 1, 5, 3, 9, 49, 37, 35, 351, 491, 851, 2983, 31, 5619, 6919, 0};
static int joe_kuo_d6_initial_number02652[] = {1, 1, 5, 3, 11, 49, 33, 153, 393, 1017, 1561, 2795, 4435, 12589, 22349, 0};
static int joe_kuo_d6_initial_number02653[] = {1, 1, 1, 15, 17, 29, 49, 245, 217, 359, 1133, 393, 3317, 415, 16407, 0};
static int joe_kuo_d6_initial_number02654[] = {1, 1, 3, 5, 3, 9, 95, 63, 319, 319, 1009, 19, 6453, 16279, 6975, 0};
static int joe_kuo_d6_initial_number02655[] = {1, 1, 5, 9, 3, 25, 67, 95, 369, 237, 285, 2409, 671, 5143, 121, 0};
static int joe_kuo_d6_initial_number02656[] = {1, 1, 3, 1, 9, 49, 35, 87, 317, 185, 445, 2263, 7923, 10183, 26615, 0};
static int joe_kuo_d6_initial_number02657[] = {1, 3, 3, 11, 9, 59, 29, 135, 129, 477, 353, 3571, 1057, 16329, 23523, 0};
static int joe_kuo_d6_initial_number02658[] = {1, 1, 1, 15, 13, 11, 19, 5, 133, 827, 1799, 1893, 1939, 1101, 12147, 0};
static int joe_kuo_d6_initial_number02659[] = {1, 1, 3, 3, 15, 49, 33, 185, 511, 1013, 41, 3499, 6235, 7643, 16725, 0};
static int joe_kuo_d6_initial_number02660[] = {1, 1, 5, 11, 27, 45, 89, 157, 63, 137, 2047, 1275, 4995, 625, 6111, 0};
static int joe_kuo_d6_initial_number02661[] = {1, 3, 7, 11, 3, 1, 121, 1, 341, 33, 1895, 3033, 3929, 10257, 21037, 0};
static int joe_kuo_d6_initial_number02662[] = {1, 3, 3, 11, 7, 11, 117, 5, 115, 287, 335, 3415, 5397, 15065, 19121, 0};
static int joe_kuo_d6_initial_number02663[] = {1, 3, 3, 13, 21, 25, 15, 125, 277, 125, 801, 3761, 2623, 11333, 16867, 0};
static int joe_kuo_d6_initial_number02664[] = {1, 3, 5, 11, 19, 33, 21, 71, 499, 747, 1515, 185, 1759, 14623, 895, 0};
static int joe_kuo_d6_initial_number02665[] = {1, 3, 7, 1, 29, 35, 9, 203, 277, 299, 1509, 2017, 2897, 14175, 1643, 0};
static int joe_kuo_d6_initial_number02666[] = {1, 3, 5, 11, 7, 47, 111, 197, 459, 941, 1619, 2119, 2191, 11049, 6811, 0};
static int joe_kuo_d6_initial_number02667[] = {1, 1, 5, 9, 7, 43, 103, 115, 87, 269, 1235, 77, 5887, 1611, 29041, 0};
static int joe_kuo_d6_initial_number02668[] = {1, 1, 5, 7, 1, 61, 83, 225, 179, 81, 1145, 2403, 1485, 8967, 20607, 0};
static int joe_kuo_d6_initial_number02669[] = {1, 3, 3, 1, 25, 47, 27, 157, 359, 803, 1683, 1995, 6445, 13113, 17899, 0};
static int joe_kuo_d6_initial_number02670[] = {1, 3, 1, 7, 21, 37, 43, 119, 245, 49, 1581, 2275, 3311, 4087, 29765, 0};
static int joe_kuo_d6_initial_number02671[] = {1, 1, 3, 13, 5, 33, 49, 191, 455, 105, 665, 3855, 3207, 2671, 32203, 0};
static int joe_kuo_d6_initial_number02672[] = {1, 3, 1, 1, 25, 63, 19, 217, 17, 353, 947, 1951, 4097, 9041, 11921, 0};
static int joe_kuo_d6_initial_number02673[] = {1, 3, 1, 7, 21, 31, 113, 97, 347, 993, 1799, 3831, 3711, 6193, 1235, 0};
static int joe_kuo_d6_initial_number02674[] = {1, 1, 1, 5, 3, 63, 11, 203, 425, 445, 1361, 531, 1265, 1755, 11685, 0};
static int joe_kuo_d6_initial_number02675[] = {1, 3, 1, 7, 13, 29, 23, 85, 57, 467, 1835, 133, 7961, 4175, 2445, 0};
static int joe_kuo_d6_initial_number02676[] = {1, 1, 1, 15, 23, 27, 37, 5, 123, 913, 1293, 1633, 3113, 5413, 26407, 0};
static int joe_kuo_d6_initial_number02677[] = {1, 1, 5, 13, 27, 1, 121, 151, 303, 931, 375, 3679, 1863, 12301, 30907, 0};
static int joe_kuo_d6_initial_number02678[] = {1, 3, 1, 9, 31, 9, 49, 203, 177, 937, 1503, 933, 5867, 12533, 13621, 0};
static int joe_kuo_d6_initial_number02679[] = {1, 3, 3, 15, 1, 41, 23, 191, 191, 931, 837, 3553, 2611, 4735, 18105, 0};
static int joe_kuo_d6_initial_number02680[] = {1, 1, 5, 7, 27, 49, 51, 111, 435, 195, 1229, 711, 7145, 14571, 31707, 0};
static int joe_kuo_d6_initial_number02681[] = {1, 1, 7, 7, 3, 41, 59, 203, 291, 903, 1727, 2757, 1463, 6287, 31535, 0};
static int joe_kuo_d6_initial_number02682[] = {1, 1, 7, 13, 23, 5, 75, 3, 207, 525, 411, 2133, 2231, 477, 7155, 0};
static int joe_kuo_d6_initial_number02683[] = {1, 3, 5, 7, 13, 19, 111, 225, 489, 83, 1177, 4077, 4617, 14413, 7133, 0};
static int joe_kuo_d6_initial_number02684[] = {1, 3, 1, 7, 9, 59, 3, 113, 379, 803, 1289, 3347, 4127, 6669, 14867, 0};
static int joe_kuo_d6_initial_number02685[] = {1, 3, 7, 3, 31, 37, 87, 79, 399, 749, 995, 1611, 3137, 12543, 31955, 0};
static int joe_kuo_d6_initial_number02686[] = {1, 1, 5, 7, 21, 59, 49, 45, 511, 639, 1033, 2169, 3265, 15001, 10745, 0};
static int joe_kuo_d6_initial_number02687[] = {1, 1, 5, 1, 25, 19, 23, 203, 11, 883, 1031, 4087, 5059, 11321, 21675, 0};
static int joe_kuo_d6_initial_number02688[] = {1, 3, 7, 5, 11, 27, 33, 205, 163, 289, 501, 3505, 1515, 1895, 15889, 0};
static int joe_kuo_d6_initial_number02689[] = {1, 3, 1, 1, 23, 7, 39, 239, 29, 119, 1499, 2071, 6495, 12107, 5339, 0};
static int joe_kuo_d6_initial_number02690[] = {1, 3, 1, 1, 23, 29, 55, 181, 327, 905, 427, 1033, 427, 3687, 5367, 0};
static int joe_kuo_d6_initial_number02691[] = {1, 3, 3, 7, 21, 27, 115, 127, 393, 855, 1291, 2121, 381, 9995, 29757, 0};
static int joe_kuo_d6_initial_number02692[] = {1, 3, 5, 1, 25, 13, 15, 183, 269, 1005, 1531, 3451, 3975, 9479, 23695, 0};
static int joe_kuo_d6_initial_number02693[] = {1, 3, 7, 7, 19, 31, 111, 97, 33, 179, 1343, 2069, 977, 5043, 9129, 0};
static int joe_kuo_d6_initial_number02694[] = {1, 3, 1, 5, 17, 57, 99, 129, 379, 829, 837, 1845, 3613, 7351, 19291, 0};
static int joe_kuo_d6_initial_number02695[] = {1, 3, 3, 5, 31, 23, 119, 229, 135, 389, 9, 705, 6697, 15441, 5303, 0};
static int joe_kuo_d6_initial_number02696[] = {1, 1, 1, 11, 25, 31, 105, 95, 5, 931, 789, 375, 7543, 9957, 28627, 0};
static int joe_kuo_d6_initial_number02697[] = {1, 1, 7, 15, 21, 17, 19, 103, 389, 545, 1725, 2867, 4251, 3829, 6907, 0};
static int joe_kuo_d6_initial_number02698[] = {1, 3, 7, 7, 15, 37, 97, 65, 337, 409, 1649, 2869, 7929, 8905, 21989, 0};
static int joe_kuo_d6_initial_number02699[] = {1, 3, 5, 3, 11, 15, 69, 29, 353, 207, 233, 411, 2047, 10303, 31655, 0};
static int joe_kuo_d6_initial_number02700[] = {1, 3, 3, 7, 27, 43, 125, 107, 69, 981, 215, 1955, 3589, 597, 12703, 0};
static int joe_kuo_d6_initial_number02701[] = {1, 1, 7, 9, 25, 13, 109, 73, 227, 663, 1115, 285, 471, 3359, 15787, 0};
static int joe_kuo_d6_initial_number02702[] = {1, 3, 7, 5, 1, 45, 7, 79, 441, 149, 701, 1457, 6595, 14829, 20865, 0};
static int joe_kuo_d6_initial_number02703[] = {1, 3, 7, 15, 15, 47, 83, 239, 295, 23, 1085, 813, 1209, 3573, 2855, 0};
static int joe_kuo_d6_initial_number02704[] = {1, 1, 3, 15, 13, 7, 59, 67, 255, 537, 1841, 3857, 6821, 15175, 13997, 0};
static int joe_kuo_d6_initial_number02705[] = {1, 3, 1, 1, 9, 57, 59, 21, 21, 41, 1693, 2805, 7953, 1389, 14105, 0};
static int joe_kuo_d6_initial_number02706[] = {1, 3, 5, 15, 19, 49, 107, 117, 99, 607, 145, 53, 1863, 9383, 12029, 0};
static int joe_kuo_d6_initial_number02707[] = {1, 3, 3, 13, 1, 39, 5, 141, 503, 265, 281, 1785, 2673, 6597, 6333, 0};
static int joe_kuo_d6_initial_number02708[] = {1, 1, 5, 3, 3, 19, 3, 181, 169, 269, 955, 2399, 3157, 11053, 8563, 0};
static int joe_kuo_d6_initial_number02709[] = {1, 3, 3, 13, 11, 1, 95, 43, 179, 507, 443, 209, 3239, 14239, 21829, 0};
static int joe_kuo_d6_initial_number02710[] = {1, 1, 7, 9, 3, 17, 99, 179, 445, 479, 1897, 1507, 5753, 4757, 2135, 0};
static int joe_kuo_d6_initial_number02711[] = {1, 3, 3, 1, 9, 51, 29, 13, 295, 291, 927, 85, 5707, 7447, 32319, 0};
static int joe_kuo_d6_initial_number02712[] = {1, 1, 1, 3, 13, 11, 21, 157, 213, 327, 1071, 591, 2639, 15405, 6617, 0};
static int joe_kuo_d6_initial_number02713[] = {1, 3, 5, 1, 7, 25, 55, 47, 495, 681, 727, 2707, 2955, 705, 7489, 0};
static int joe_kuo_d6_initial_number02714[] = {1, 1, 3, 9, 17, 3, 73, 67, 465, 367, 1473, 3195, 7825, 5299, 1817, 0};
static int joe_kuo_d6_initial_number02715[] = {1, 1, 1, 1, 19, 31, 77, 253, 71, 599, 1601, 871, 2243, 6699, 13013, 0};
static int joe_kuo_d6_initial_number02716[] = {1, 1, 7, 9, 21, 1, 71, 115, 5, 65, 767, 925, 7901, 10761, 19431, 0};
static int joe_kuo_d6_initial_number02717[] = {1, 3, 1, 7, 23, 31, 31, 15, 105, 391, 585, 2995, 2635, 10607, 24951, 0};
static int joe_kuo_d6_initial_number02718[] = {1, 3, 3, 1, 19, 25, 71, 211, 41, 197, 787, 225, 6781, 813, 10117, 0};
static int joe_kuo_d6_initial_number02719[] = {1, 3, 3, 3, 17, 29, 3, 153, 231, 643, 1151, 447, 3699, 9625, 26677, 0};
static int joe_kuo_d6_initial_number02720[] = {1, 1, 5, 9, 1, 25, 71, 21, 395, 297, 557, 3841, 233, 1877, 4569, 0};
static int joe_kuo_d6_initial_number02721[] = {1, 1, 3, 13, 1, 45, 115, 61, 5, 937, 173, 2109, 2927, 9599, 9155, 0};
static int joe_kuo_d6_initial_number02722[] = {1, 1, 3, 3, 15, 21, 61, 121, 253, 285, 1083, 3545, 5537, 6773, 2629, 0};
static int joe_kuo_d6_initial_number02723[] = {1, 3, 3, 15, 13, 63, 33, 77, 49, 849, 1795, 2771, 5481, 9833, 603, 0};
static int joe_kuo_d6_initial_number02724[] = {1, 1, 7, 5, 1, 39, 113, 237, 225, 1005, 1687, 2297, 3213, 2605, 14669, 0};
static int joe_kuo_d6_initial_number02725[] = {1, 1, 3, 1, 11, 1, 39, 23, 67, 441, 1235, 2545, 3139, 15901, 29243, 0};
static int joe_kuo_d6_initial_number02726[] = {1, 3, 1, 3, 15, 49, 39, 57, 311, 345, 525, 223, 4923, 6311, 25275, 0};
static int joe_kuo_d6_initial_number02727[] = {1, 1, 5, 7, 9, 13, 69, 11, 349, 423, 1773, 1055, 1001, 9359, 17025, 0};
static int joe_kuo_d6_initial_number02728[] = {1, 1, 1, 13, 15, 63, 89, 207, 335, 591, 1223, 2701, 55, 12471, 13127, 0};
static int joe_kuo_d6_initial_number02729[] = {1, 1, 3, 5, 15, 19, 83, 67, 407, 113, 1961, 779, 5803, 12417, 21751, 0};
static int joe_kuo_d6_initial_number02730[] = {1, 3, 3, 1, 21, 53, 81, 95, 405, 427, 1047, 2443, 4153, 5843, 22511, 0};
static int joe_kuo_d6_initial_number02731[] = {1, 1, 7, 7, 7, 25, 115, 155, 453, 537, 741, 2379, 2343, 16035, 19587, 0};
static int joe_kuo_d6_initial_number02732[] = {1, 3, 3, 11, 27, 21, 111, 121, 503, 437, 803, 3399, 5303, 10163, 18199, 0};
static int joe_kuo_d6_initial_number02733[] = {1, 1, 5, 13, 19, 27, 7, 81, 259, 545, 965, 743, 4533, 8813, 21253, 0};
static int joe_kuo_d6_initial_number02734[] = {1, 1, 5, 5, 1, 59, 37, 11, 105, 343, 75, 1319, 6317, 9593, 1699, 0};
static int joe_kuo_d6_initial_number02735[] = {1, 3, 1, 9, 13, 9, 115, 131, 387, 1023, 253, 693, 5191, 12777, 10565, 0};
static int joe_kuo_d6_initial_number02736[] = {1, 3, 1, 15, 7, 35, 111, 195, 287, 305, 533, 1901, 3363, 10085, 30791, 0};
static int joe_kuo_d6_initial_number02737[] = {1, 1, 3, 9, 27, 51, 21, 77, 413, 925, 717, 791, 4147, 585, 5649, 0};
static int joe_kuo_d6_initial_number02738[] = {1, 3, 3, 5, 25, 59, 79, 249, 185, 567, 71, 1997, 7373, 2327, 18637, 0};
static int joe_kuo_d6_initial_number02739[] = {1, 3, 3, 11, 15, 21, 97, 99, 391, 57, 1973, 29, 7451, 2529, 25737, 0};
static int joe_kuo_d6_initial_number02740[] = {1, 3, 7, 5, 7, 59, 93, 5, 287, 469, 1639, 3637, 5465, 14431, 32265, 0};
static int joe_kuo_d6_initial_number02741[] = {1, 1, 3, 11, 3, 1, 71, 75, 427, 299, 811, 3697, 3529, 5433, 26957, 0};
static int joe_kuo_d6_initial_number02742[] = {1, 3, 1, 9, 19, 59, 37, 255, 165, 1005, 19, 2851, 4309, 455, 9485, 0};
static int joe_kuo_d6_initial_number02743[] = {1, 1, 1, 5, 1, 55, 15, 233, 133, 47, 1831, 713, 2601, 1017, 3201, 0};
static int joe_kuo_d6_initial_number02744[] = {1, 1, 5, 5, 21, 55, 127, 69, 377, 41, 25, 2295, 7595, 4733, 11615, 0};
static int joe_kuo_d6_initial_number02745[] = {1, 1, 5, 3, 23, 5, 7, 181, 161, 775, 1095, 2271, 6637, 14489, 6873, 0};
static int joe_kuo_d6_initial_number02746[] = {1, 3, 5, 9, 9, 15, 5, 133, 357, 21, 127, 2685, 6299, 4363, 17573, 0};
static int joe_kuo_d6_initial_number02747[] = {1, 3, 3, 9, 13, 39, 51, 223, 201, 401, 1839, 2461, 7633, 6039, 10445, 0};
static int joe_kuo_d6_initial_number02748[] = {1, 1, 5, 1, 9, 21, 19, 249, 227, 359, 255, 2895, 4117, 2073, 27687, 0};
static int joe_kuo_d6_initial_number02749[] = {1, 1, 5, 15, 5, 61, 113, 161, 95, 3, 877, 2775, 293, 6655, 4023, 0};
static int joe_kuo_d6_initial_number02750[] = {1, 3, 7, 1, 7, 55, 73, 39, 295, 403, 985, 2315, 1667, 13525, 1453, 0};
static int joe_kuo_d6_initial_number02751[] = {1, 1, 5, 1, 27, 1, 85, 195, 11, 713, 1841, 3895, 3131, 2193, 17607, 0};
static int joe_kuo_d6_initial_number02752[] = {1, 3, 5, 13, 25, 1, 119, 97, 239, 167, 1393, 1753, 6989, 12155, 12509, 0};
static int joe_kuo_d6_initial_number02753[] = {1, 1, 7, 15, 31, 21, 41, 255, 425, 445, 165, 2097, 5627, 4971, 13207, 0};
static int joe_kuo_d6_initial_number02754[] = {1, 1, 1, 15, 13, 33, 81, 105, 453, 197, 13, 1547, 7381, 8709, 15103, 0};
static int joe_kuo_d6_initial_number02755[] = {1, 1, 3, 11, 11, 33, 107, 123, 483, 367, 121, 995, 1911, 8205, 22577, 0};
static int joe_kuo_d6_initial_number02756[] = {1, 1, 1, 9, 9, 43, 71, 49, 273, 431, 1705, 3313, 4259, 16291, 14345, 0};
static int joe_kuo_d6_initial_number02757[] = {1, 1, 1, 7, 3, 1, 43, 213, 97, 547, 1559, 1149, 2791, 3751, 887, 0};
static int joe_kuo_d6_initial_number02758[] = {1, 1, 3, 15, 25, 47, 49, 251, 425, 35, 295, 3767, 6305, 9633, 5045, 0};
static int joe_kuo_d6_initial_number02759[] = {1, 3, 3, 1, 5, 55, 91, 245, 27, 981, 331, 555, 6553, 11017, 15289, 0};
static int joe_kuo_d6_initial_number02760[] = {1, 1, 3, 7, 1, 23, 23, 155, 223, 565, 1005, 3211, 3847, 7479, 3643, 0};
static int joe_kuo_d6_initial_number02761[] = {1, 1, 5, 1, 17, 7, 47, 95, 35, 779, 1685, 2099, 7505, 15425, 18089, 0};
static int joe_kuo_d6_initial_number02762[] = {1, 3, 3, 7, 3, 63, 83, 151, 211, 147, 611, 1171, 1681, 7687, 13423, 0};
static int joe_kuo_d6_initial_number02763[] = {1, 3, 3, 1, 3, 27, 107, 117, 497, 537, 195, 3075, 2753, 1665, 19399, 0};
static int joe_kuo_d6_initial_number02764[] = {1, 1, 1, 7, 23, 5, 103, 209, 117, 845, 1243, 1283, 4253, 9723, 20937, 0};
static int joe_kuo_d6_initial_number02765[] = {1, 3, 1, 1, 5, 49, 7, 13, 419, 125, 287, 1599, 8161, 1275, 24661, 0};
static int joe_kuo_d6_initial_number02766[] = {1, 3, 3, 3, 13, 63, 23, 183, 39, 979, 1301, 2349, 905, 15805, 30151, 0};
static int joe_kuo_d6_initial_number02767[] = {1, 1, 3, 9, 17, 11, 97, 189, 189, 511, 1779, 2077, 6891, 11623, 23949, 0};
static int joe_kuo_d6_initial_number02768[] = {1, 1, 7, 11, 13, 45, 15, 37, 11, 853, 915, 1569, 6103, 10633, 3137, 0};
static int joe_kuo_d6_initial_number02769[] = {1, 3, 3, 5, 15, 61, 91, 255, 131, 821, 1755, 1501, 2663, 1747, 941, 0};
static int joe_kuo_d6_initial_number02770[] = {1, 1, 3, 7, 19, 19, 65, 95, 499, 239, 2023, 3185, 4649, 3861, 3767, 0};
static int joe_kuo_d6_initial_number02771[] = {1, 3, 5, 15, 15, 63, 55, 93, 127, 303, 171, 1763, 4991, 9479, 9917, 0};
static int joe_kuo_d6_initial_number02772[] = {1, 3, 7, 5, 31, 53, 111, 35, 433, 163, 1903, 3991, 3585, 643, 21941, 0};
static int joe_kuo_d6_initial_number02773[] = {1, 3, 1, 9, 27, 39, 67, 89, 487, 349, 587, 1723, 4311, 11321, 25785, 0};
static int joe_kuo_d6_initial_number02774[] = {1, 3, 5, 7, 1, 63, 23, 237, 507, 689, 1341, 441, 1721, 843, 20335, 0};
static int joe_kuo_d6_initial_number02775[] = {1, 1, 3, 3, 31, 63, 83, 103, 25, 799, 1379, 1817, 3809, 12285, 16673, 0};
static int joe_kuo_d6_initial_number02776[] = {1, 1, 5, 3, 25, 29, 99, 193, 21, 549, 33, 3109, 4135, 10071, 32355, 0};
static int joe_kuo_d6_initial_number02777[] = {1, 3, 1, 7, 13, 27, 83, 189, 121, 167, 379, 1503, 7955, 13189, 313, 0};
static int joe_kuo_d6_initial_number02778[] = {1, 3, 5, 15, 25, 19, 83, 87, 257, 237, 709, 1169, 1561, 7117, 4785, 0};
static int joe_kuo_d6_initial_number02779[] = {1, 1, 1, 7, 9, 55, 21, 5, 439, 367, 403, 2311, 6243, 8349, 13127, 0};
static int joe_kuo_d6_initial_number02780[] = {1, 3, 7, 3, 5, 35, 51, 67, 453, 767, 29, 3293, 6665, 11459, 2799, 0};
static int joe_kuo_d6_initial_number02781[] = {1, 3, 3, 3, 5, 19, 59, 7, 367, 683, 783, 1317, 7119, 6129, 19525, 0};
static int joe_kuo_d6_initial_number02782[] = {1, 1, 5, 5, 5, 19, 61, 67, 381, 291, 875, 2179, 2481, 9325, 11253, 0};
static int joe_kuo_d6_initial_number02783[] = {1, 3, 5, 5, 7, 47, 107, 9, 141, 667, 1989, 821, 3909, 1733, 10187, 0};
static int joe_kuo_d6_initial_number02784[] = {1, 1, 7, 7, 31, 61, 1, 71, 477, 689, 1539, 3617, 8105, 6535, 3293, 0};
static int joe_kuo_d6_initial_number02785[] = {1, 1, 5, 5, 23, 9, 103, 197, 241, 249, 297, 3607, 6217, 1673, 30103, 0};
static int joe_kuo_d6_initial_number02786[] = {1, 3, 1, 5, 23, 15, 115, 105, 365, 51, 825, 2687, 359, 16325, 15083, 0};
static int joe_kuo_d6_initial_number02787[] = {1, 1, 3, 11, 29, 45, 65, 251, 169, 189, 1243, 2345, 1345, 14471, 25631, 0};
static int joe_kuo_d6_initial_number02788[] = {1, 1, 5, 9, 7, 63, 81, 167, 309, 539, 1169, 3949, 4193, 12047, 1491, 0};
static int joe_kuo_d6_initial_number02789[] = {1, 3, 1, 9, 29, 33, 89, 167, 67, 73, 1885, 477, 5745, 13365, 6819, 0};
static int joe_kuo_d6_initial_number02790[] = {1, 3, 7, 9, 9, 49, 95, 13, 157, 997, 1725, 935, 7543, 6349, 18277, 0};
static int joe_kuo_d6_initial_number02791[] = {1, 1, 5, 5, 11, 59, 97, 17, 303, 469, 93, 2761, 7395, 9021, 24299, 0};
static int joe_kuo_d6_initial_number02792[] = {1, 1, 7, 3, 27, 63, 71, 99, 407, 139, 711, 2589, 4715, 5405, 3277, 0};
static int joe_kuo_d6_initial_number02793[] = {1, 3, 7, 3, 11, 15, 49, 57, 271, 493, 1165, 2839, 8191, 2609, 14759, 0};
static int joe_kuo_d6_initial_number02794[] = {1, 1, 1, 7, 21, 15, 71, 245, 413, 473, 1321, 1165, 1027, 6983, 12867, 0};
static int joe_kuo_d6_initial_number02795[] = {1, 1, 5, 3, 15, 21, 19, 197, 401, 627, 2047, 2761, 5807, 5751, 28025, 0};
static int joe_kuo_d6_initial_number02796[] = {1, 1, 3, 3, 5, 57, 19, 209, 341, 165, 489, 455, 231, 14385, 12457, 0};
static int joe_kuo_d6_initial_number02797[] = {1, 3, 3, 11, 13, 63, 79, 129, 17, 315, 1881, 1069, 177, 12013, 29567, 0};
static int joe_kuo_d6_initial_number02798[] = {1, 1, 3, 7, 31, 29, 51, 235, 475, 375, 617, 437, 6379, 8505, 23079, 0};
static int joe_kuo_d6_initial_number02799[] = {1, 1, 3, 7, 27, 3, 3, 137, 203, 959, 363, 371, 2899, 13491, 22979, 0};
static int joe_kuo_d6_initial_number02800[] = {1, 3, 3, 3, 9, 1, 57, 7, 363, 537, 713, 2417, 509, 7747, 22135, 0};
static int joe_kuo_d6_initial_number02801[] = {1, 3, 3, 3, 13, 21, 79, 121, 487, 921, 113, 281, 2853, 14855, 19747, 0};
static int joe_kuo_d6_initial_number02802[] = {1, 1, 1, 11, 3, 53, 89, 123, 307, 585, 567, 1925, 505, 15935, 20419, 0};
static int joe_kuo_d6_initial_number02803[] = {1, 1, 3, 3, 15, 45, 77, 197, 499, 683, 1405, 3573, 981, 14135, 19763, 0};
static int joe_kuo_d6_initial_number02804[] = {1, 1, 1, 11, 27, 31, 61, 191, 29, 601, 373, 2011, 6193, 3599, 4387, 0};
static int joe_kuo_d6_initial_number02805[] = {1, 3, 5, 9, 7, 13, 1, 193, 469, 603, 1315, 3329, 3761, 8355, 10425, 0};
static int joe_kuo_d6_initial_number02806[] = {1, 1, 3, 9, 29, 61, 103, 17, 117, 251, 2029, 2963, 3763, 16117, 6627, 0};
static int joe_kuo_d6_initial_number02807[] = {1, 3, 1, 3, 7, 51, 91, 145, 497, 657, 871, 3707, 5905, 10449, 14901, 0};
static int joe_kuo_d6_initial_number02808[] = {1, 1, 3, 1, 3, 53, 23, 149, 461, 333, 1809, 1315, 1815, 8223, 13297, 0};
static int joe_kuo_d6_initial_number02809[] = {1, 1, 1, 7, 15, 31, 3, 47, 443, 829, 1305, 893, 4191, 9681, 32661, 0};
static int joe_kuo_d6_initial_number02810[] = {1, 3, 1, 3, 27, 43, 51, 221, 295, 825, 649, 2953, 6203, 8237, 20253, 0};
static int joe_kuo_d6_initial_number02811[] = {1, 3, 1, 3, 9, 35, 41, 195, 249, 225, 387, 3789, 1499, 2559, 28413, 0};
static int joe_kuo_d6_initial_number02812[] = {1, 1, 5, 15, 19, 29, 13, 115, 333, 787, 787, 723, 2987, 6227, 10865, 0};
static int joe_kuo_d6_initial_number02813[] = {1, 3, 5, 13, 5, 59, 5, 251, 79, 387, 11, 3167, 6619, 13317, 18979, 0};
static int joe_kuo_d6_initial_number02814[] = {1, 1, 7, 11, 31, 51, 43, 1, 189, 519, 1945, 2129, 4365, 14059, 3139, 0};
static int joe_kuo_d6_initial_number02815[] = {1, 1, 7, 5, 31, 9, 43, 19, 151, 533, 1061, 3849, 6871, 6941, 14935, 0};
static int joe_kuo_d6_initial_number02816[] = {1, 3, 7, 5, 19, 57, 7, 129, 25, 353, 17, 1739, 6513, 399, 28835, 0};
static int joe_kuo_d6_initial_number02817[] = {1, 3, 5, 15, 25, 15, 37, 125, 39, 239, 271, 65, 2189, 10449, 11815, 0};
static int joe_kuo_d6_initial_number02818[] = {1, 3, 7, 15, 19, 57, 47, 245, 509, 945, 385, 3987, 3585, 14711, 9655, 0};
static int joe_kuo_d6_initial_number02819[] = {1, 1, 3, 13, 21, 31, 13, 81, 9, 489, 1321, 63, 1363, 2219, 19541, 0};
static int joe_kuo_d6_initial_number02820[] = {1, 1, 5, 7, 3, 57, 25, 147, 23, 553, 889, 307, 6429, 15807, 12861, 0};
static int joe_kuo_d6_initial_number02821[] = {1, 1, 3, 15, 29, 21, 99, 237, 151, 881, 675, 3625, 1159, 11759, 21347, 0};
static int joe_kuo_d6_initial_number02822[] = {1, 1, 7, 1, 9, 13, 111, 239, 235, 609, 1569, 3271, 2837, 13807, 7301, 0};
static int joe_kuo_d6_initial_number02823[] = {1, 3, 1, 15, 7, 59, 27, 81, 129, 9, 647, 3595, 1877, 1067, 1859, 0};
static int joe_kuo_d6_initial_number02824[] = {1, 3, 7, 1, 3, 25, 119, 57, 145, 441, 1045, 789, 215, 1265, 9369, 0};
static int joe_kuo_d6_initial_number02825[] = {1, 3, 7, 3, 17, 25, 87, 211, 441, 229, 223, 2795, 7241, 7007, 20575, 0};
static int joe_kuo_d6_initial_number02826[] = {1, 1, 3, 1, 13, 1, 55, 227, 389, 141, 1097, 2487, 7603, 4161, 5025, 0};
static int joe_kuo_d6_initial_number02827[] = {1, 1, 3, 5, 15, 29, 29, 145, 233, 209, 891, 89, 8097, 2897, 26685, 0};
static int joe_kuo_d6_initial_number02828[] = {1, 1, 3, 1, 29, 53, 19, 95, 161, 359, 435, 3313, 4955, 7965, 21015, 0};
static int joe_kuo_d6_initial_number02829[] = {1, 3, 5, 9, 19, 3, 109, 77, 29, 937, 1663, 125, 2453, 1069, 20639, 0};
static int joe_kuo_d6_initial_number02830[] = {1, 3, 7, 13, 5, 23, 43, 231, 347, 591, 1963, 2491, 4045, 16029, 8149, 0};
static int joe_kuo_d6_initial_number02831[] = {1, 1, 5, 1, 13, 3, 75, 211, 419, 929, 901, 3453, 8121, 799, 8897, 0};
static int joe_kuo_d6_initial_number02832[] = {1, 1, 7, 15, 11, 11, 123, 111, 309, 415, 1071, 975, 2009, 12945, 19617, 0};
static int joe_kuo_d6_initial_number02833[] = {1, 1, 1, 7, 31, 35, 81, 255, 89, 643, 451, 513, 497, 11751, 24215, 0};
static int joe_kuo_d6_initial_number02834[] = {1, 3, 5, 5, 25, 17, 5, 165, 139, 929, 1927, 1353, 7427, 9719, 17087, 0};
static int joe_kuo_d6_initial_number02835[] = {1, 3, 5, 1, 21, 55, 79, 85, 333, 847, 1305, 851, 5057, 8361, 18269, 0};
static int joe_kuo_d6_initial_number02836[] = {1, 3, 7, 15, 27, 17, 55, 125, 395, 223, 271, 781, 1639, 10569, 11143, 0};
static int joe_kuo_d6_initial_number02837[] = {1, 1, 7, 9, 7, 33, 127, 85, 209, 339, 483, 241, 2523, 14951, 6855, 0};
static int joe_kuo_d6_initial_number02838[] = {1, 1, 3, 9, 5, 19, 9, 183, 435, 343, 1105, 3139, 7617, 1311, 267, 0};
static int joe_kuo_d6_initial_number02839[] = {1, 1, 5, 1, 15, 53, 11, 63, 113, 241, 855, 3123, 4777, 3495, 23345, 0};
static int joe_kuo_d6_initial_number02840[] = {1, 3, 1, 5, 19, 29, 119, 205, 167, 683, 289, 1629, 4977, 8981, 6867, 0};
static int joe_kuo_d6_initial_number02841[] = {1, 3, 1, 1, 31, 63, 95, 159, 267, 231, 863, 3385, 5315, 7267, 13757, 0};
static int joe_kuo_d6_initial_number02842[] = {1, 3, 5, 11, 19, 21, 53, 41, 125, 179, 533, 1279, 3759, 7073, 13905, 0};
static int joe_kuo_d6_initial_number02843[] = {1, 3, 5, 9, 17, 7, 27, 67, 97, 809, 1423, 2743, 2859, 16121, 329, 0};
static int joe_kuo_d6_initial_number02844[] = {1, 3, 1, 15, 1, 41, 59, 155, 509, 51, 1827, 3739, 3879, 13369, 30821, 0};
static int joe_kuo_d6_initial_number02845[] = {1, 3, 3, 7, 21, 31, 7, 13, 347, 919, 1225, 497, 5051, 3769, 20211, 0};
static int joe_kuo_d6_initial_number02846[] = {1, 3, 7, 13, 31, 9, 127, 195, 123, 387, 3, 3593, 6623, 9827, 29319, 0};
static int joe_kuo_d6_initial_number02847[] = {1, 1, 3, 9, 7, 27, 95, 211, 287, 189, 1683, 1999, 7641, 14983, 4699, 0};
static int joe_kuo_d6_initial_number02848[] = {1, 1, 5, 3, 7, 21, 29, 189, 101, 423, 885, 3275, 6569, 11023, 22265, 0};
static int joe_kuo_d6_initial_number02849[] = {1, 3, 5, 3, 9, 33, 79, 75, 327, 975, 287, 3025, 2157, 7301, 24447, 0};
static int joe_kuo_d6_initial_number02850[] = {1, 3, 3, 15, 31, 27, 63, 1, 71, 119, 1151, 517, 6131, 11055, 179, 0};
static int joe_kuo_d6_initial_number02851[] = {1, 3, 7, 11, 23, 15, 101, 247, 349, 735, 673, 997, 6451, 229, 32103, 0};
static int joe_kuo_d6_initial_number02852[] = {1, 3, 5, 15, 7, 1, 51, 135, 207, 741, 1831, 1235, 4747, 11915, 22009, 0};
static int joe_kuo_d6_initial_number02853[] = {1, 3, 1, 13, 9, 31, 19, 221, 465, 681, 627, 2595, 5617, 14201, 30355, 0};
static int joe_kuo_d6_initial_number02854[] = {1, 1, 3, 1, 13, 49, 55, 155, 11, 885, 1275, 3591, 2217, 6659, 30885, 0};
static int joe_kuo_d6_initial_number02855[] = {1, 1, 7, 11, 27, 57, 93, 95, 243, 63, 1405, 2049, 7689, 15943, 18503, 0};
static int joe_kuo_d6_initial_number02856[] = {1, 1, 7, 7, 5, 11, 47, 189, 467, 631, 1665, 2717, 4285, 2087, 1435, 0};
static int joe_kuo_d6_initial_number02857[] = {1, 1, 3, 11, 7, 27, 127, 3, 231, 757, 435, 2545, 3537, 9127, 19915, 0};
static int joe_kuo_d6_initial_number02858[] = {1, 1, 5, 13, 5, 29, 85, 127, 339, 875, 497, 1573, 6553, 11983, 18029, 0};
static int joe_kuo_d6_initial_number02859[] = {1, 3, 1, 1, 21, 3, 15, 91, 231, 683, 1529, 2651, 4147, 13437, 23861, 0};
static int joe_kuo_d6_initial_number02860[] = {1, 3, 1, 7, 27, 17, 19, 179, 243, 223, 1037, 1501, 5935, 2259, 25185, 0};
static int joe_kuo_d6_initial_number02861[] = {1, 1, 3, 15, 11, 19, 127, 27, 483, 219, 583, 2555, 531, 3451, 17875, 0};
static int joe_kuo_d6_initial_number02862[] = {1, 1, 1, 13, 31, 39, 89, 149, 363, 741, 1355, 4067, 3171, 6783, 1799, 0};
static int joe_kuo_d6_initial_number02863[] = {1, 1, 3, 11, 25, 51, 45, 235, 379, 123, 1701, 725, 1991, 7471, 9833, 0};
static int joe_kuo_d6_initial_number02864[] = {1, 1, 5, 13, 15, 47, 13, 201, 263, 57, 375, 2963, 7475, 15929, 13775, 0};
static int joe_kuo_d6_initial_number02865[] = {1, 1, 3, 1, 29, 29, 11, 161, 345, 253, 97, 255, 7267, 2379, 3933, 0};
static int joe_kuo_d6_initial_number02866[] = {1, 3, 1, 15, 3, 47, 11, 69, 347, 747, 795, 2401, 3367, 2383, 6125, 0};
static int joe_kuo_d6_initial_number02867[] = {1, 1, 7, 3, 1, 49, 101, 47, 71, 761, 1503, 2619, 191, 8895, 873, 0};
static int joe_kuo_d6_initial_number02868[] = {1, 3, 3, 5, 25, 41, 93, 85, 427, 109, 1675, 2409, 4317, 9233, 30283, 0};
static int joe_kuo_d6_initial_number02869[] = {1, 1, 3, 9, 11, 3, 67, 159, 425, 751, 887, 1415, 403, 15977, 10739, 0};
static int joe_kuo_d6_initial_number02870[] = {1, 1, 5, 13, 9, 1, 9, 103, 481, 601, 931, 1957, 5763, 7095, 27141, 0};
static int joe_kuo_d6_initial_number02871[] = {1, 1, 3, 15, 29, 13, 43, 33, 297, 269, 1041, 1411, 3461, 12043, 10045, 0};
static int joe_kuo_d6_initial_number02872[] = {1, 3, 5, 3, 3, 3, 5, 7, 185, 753, 133, 1561, 5595, 13777, 25795, 0};
static int joe_kuo_d6_initial_number02873[] = {1, 3, 5, 5, 1, 19, 29, 145, 163, 149, 619, 2603, 7757, 10035, 10189, 0};
static int joe_kuo_d6_initial_number02874[] = {1, 3, 7, 15, 27, 15, 111, 173, 135, 117, 157, 2601, 7919, 12111, 22795, 0};
static int joe_kuo_d6_initial_number02875[] = {1, 3, 1, 1, 29, 27, 65, 31, 101, 715, 289, 3643, 2335, 6789, 23397, 0};
static int joe_kuo_d6_initial_number02876[] = {1, 3, 1, 3, 11, 45, 71, 109, 321, 423, 1695, 169, 3075, 12423, 11391, 0};
static int joe_kuo_d6_initial_number02877[] = {1, 1, 3, 9, 13, 51, 35, 121, 203, 279, 433, 2725, 7951, 2105, 27333, 0};
static int joe_kuo_d6_initial_number02878[] = {1, 1, 1, 15, 23, 31, 25, 105, 501, 441, 1511, 3133, 2811, 10595, 21779, 0};
static int joe_kuo_d6_initial_number02879[] = {1, 1, 5, 13, 7, 1, 97, 193, 121, 993, 1347, 1903, 1883, 6583, 24535, 0};
static int joe_kuo_d6_initial_number02880[] = {1, 1, 7, 9, 7, 29, 17, 41, 101, 447, 1289, 387, 1891, 2723, 26091, 0};
static int joe_kuo_d6_initial_number02881[] = {1, 1, 3, 3, 3, 53, 81, 81, 177, 165, 195, 3413, 8177, 3817, 8453, 0};
static int joe_kuo_d6_initial_number02882[] = {1, 3, 7, 15, 15, 31, 23, 31, 337, 439, 1773, 63, 5351, 5491, 1767, 0};
static int joe_kuo_d6_initial_number02883[] = {1, 3, 1, 11, 5, 15, 23, 75, 437, 553, 429, 2705, 3625, 13851, 19865, 0};
static int joe_kuo_d6_initial_number02884[] = {1, 3, 3, 9, 13, 15, 33, 235, 215, 415, 1737, 1409, 2101, 14623, 14717, 0};
static int joe_kuo_d6_initial_number02885[] = {1, 3, 7, 7, 13, 51, 101, 217, 175, 813, 1639, 4009, 1625, 4991, 17525, 0};
static int joe_kuo_d6_initial_number02886[] = {1, 1, 5, 13, 23, 33, 29, 175, 39, 673, 557, 3239, 5129, 11049, 27227, 0};
static int joe_kuo_d6_initial_number02887[] = {1, 3, 7, 13, 1, 37, 33, 139, 493, 891, 1883, 2525, 5741, 15795, 5875, 0};
static int joe_kuo_d6_initial_number02888[] = {1, 3, 1, 15, 15, 27, 127, 111, 147, 363, 725, 3077, 4341, 9131, 24635, 0};
static int joe_kuo_d6_initial_number02889[] = {1, 1, 7, 3, 17, 25, 59, 135, 177, 635, 73, 3455, 3083, 6009, 13033, 0};
static int joe_kuo_d6_initial_number02890[] = {1, 1, 1, 5, 15, 53, 93, 161, 215, 459, 1087, 179, 2235, 8885, 15309, 0};
static int joe_kuo_d6_initial_number02891[] = {1, 1, 7, 13, 7, 17, 75, 173, 449, 855, 103, 2739, 3421, 11811, 18805, 0};
static int joe_kuo_d6_initial_number02892[] = {1, 1, 7, 9, 5, 11, 53, 75, 247, 249, 1201, 953, 2455, 4589, 6027, 0};
static int joe_kuo_d6_initial_number02893[] = {1, 1, 5, 13, 27, 51, 119, 39, 137, 11, 1435, 3773, 3889, 6081, 11829, 0};
static int joe_kuo_d6_initial_number02894[] = {1, 1, 5, 5, 5, 35, 1, 197, 501, 185, 1039, 1563, 6421, 14373, 25655, 0};
static int joe_kuo_d6_initial_number02895[] = {1, 1, 3, 13, 31, 55, 115, 183, 483, 655, 1351, 3203, 725, 3299, 22579, 0};
static int joe_kuo_d6_initial_number02896[] = {1, 3, 5, 11, 31, 31, 83, 59, 395, 21, 1881, 2821, 2251, 11781, 26265, 0};
static int joe_kuo_d6_initial_number02897[] = {1, 3, 7, 13, 21, 19, 103, 21, 403, 443, 1951, 55, 985, 15983, 15087, 0};
static int joe_kuo_d6_initial_number02898[] = {1, 1, 5, 15, 29, 11, 51, 53, 255, 183, 1475, 1491, 259, 387, 10303, 0};
static int joe_kuo_d6_initial_number02899[] = {1, 3, 5, 7, 21, 37, 45, 39, 479, 637, 1325, 3753, 3319, 7403, 31759, 0};
static int joe_kuo_d6_initial_number02900[] = {1, 1, 3, 5, 7, 43, 89, 53, 269, 187, 995, 141, 119, 8139, 29699, 0};
static int joe_kuo_d6_initial_number02901[] = {1, 1, 1, 5, 1, 53, 3, 23, 379, 223, 1889, 4035, 1437, 12425, 9051, 0};
static int joe_kuo_d6_initial_number02902[] = {1, 3, 1, 13, 3, 31, 61, 43, 249, 449, 901, 1921, 3495, 8599, 5263, 0};
static int joe_kuo_d6_initial_number02903[] = {1, 1, 3, 5, 3, 25, 35, 133, 25, 597, 915, 3663, 5147, 11831, 24269, 0};
static int joe_kuo_d6_initial_number02904[] = {1, 1, 1, 9, 21, 27, 93, 93, 217, 299, 1881, 3647, 4825, 7989, 24121, 0};
static int joe_kuo_d6_initial_number02905[] = {1, 3, 1, 15, 5, 15, 49, 129, 315, 631, 2037, 1567, 4043, 15589, 30905, 0};
static int joe_kuo_d6_initial_number02906[] = {1, 3, 3, 7, 25, 5, 123, 51, 47, 471, 1563, 3947, 7975, 3681, 9611, 0};
static int joe_kuo_d6_initial_number02907[] = {1, 3, 7, 15, 1, 17, 73, 245, 465, 95, 95, 1159, 1319, 4675, 8841, 0};
static int joe_kuo_d6_initial_number02908[] = {1, 1, 3, 15, 5, 51, 35, 71, 423, 651, 753, 173, 2131, 15799, 29601, 0};
static int joe_kuo_d6_initial_number02909[] = {1, 1, 1, 1, 3, 53, 83, 187, 445, 827, 1549, 979, 5363, 1701, 2149, 0};
static int joe_kuo_d6_initial_number02910[] = {1, 1, 7, 9, 3, 15, 65, 161, 37, 233, 771, 3749, 727, 6857, 17175, 0};
static int joe_kuo_d6_initial_number02911[] = {1, 1, 7, 7, 27, 29, 107, 247, 249, 353, 773, 3677, 7273, 5419, 29397, 0};
static int joe_kuo_d6_initial_number02912[] = {1, 3, 3, 7, 31, 49, 87, 159, 145, 497, 1715, 2115, 5035, 6431, 7245, 0};
static int joe_kuo_d6_initial_number02913[] = {1, 3, 3, 5, 7, 31, 51, 117, 101, 617, 557, 2551, 6589, 13295, 31975, 0};
static int joe_kuo_d6_initial_number02914[] = {1, 1, 3, 3, 15, 27, 125, 163, 169, 893, 1771, 25, 5787, 10267, 10297, 0};
static int joe_kuo_d6_initial_number02915[] = {1, 1, 1, 5, 9, 47, 85, 65, 289, 783, 1105, 4035, 4111, 2589, 24575, 0};
static int joe_kuo_d6_initial_number02916[] = {1, 3, 3, 13, 23, 33, 7, 49, 301, 531, 1713, 2755, 5543, 8153, 24099, 0};
static int joe_kuo_d6_initial_number02917[] = {1, 1, 5, 9, 7, 39, 101, 67, 417, 923, 757, 1537, 5553, 12233, 20881, 0};
static int joe_kuo_d6_initial_number02918[] = {1, 1, 5, 1, 19, 7, 25, 123, 125, 183, 573, 3317, 6867, 871, 17631, 0};
static int joe_kuo_d6_initial_number02919[] = {1, 1, 3, 15, 19, 13, 117, 41, 129, 715, 1525, 2257, 2179, 10807, 23271, 0};
static int joe_kuo_d6_initial_number02920[] = {1, 3, 1, 5, 25, 53, 19, 169, 289, 569, 1135, 1967, 7001, 15883, 15113, 0};
static int joe_kuo_d6_initial_number02921[] = {1, 3, 7, 15, 7, 37, 127, 147, 415, 313, 1541, 1889, 3763, 16199, 12681, 0};
static int joe_kuo_d6_initial_number02922[] = {1, 1, 3, 9, 1, 35, 95, 137, 237, 951, 899, 3177, 6073, 10655, 31687, 0};
static int joe_kuo_d6_initial_number02923[] = {1, 1, 5, 5, 29, 57, 45, 253, 297, 529, 1553, 467, 8035, 15675, 21691, 0};
static int joe_kuo_d6_initial_number02924[] = {1, 3, 7, 15, 25, 41, 59, 81, 87, 985, 1001, 2369, 661, 7551, 11829, 0};
static int joe_kuo_d6_initial_number02925[] = {1, 1, 7, 9, 27, 21, 7, 233, 309, 67, 701, 2737, 4261, 2467, 15691, 0};
static int joe_kuo_d6_initial_number02926[] = {1, 3, 7, 1, 19, 55, 47, 155, 333, 101, 517, 1991, 4619, 10435, 27241, 0};
static int joe_kuo_d6_initial_number02927[] = {1, 1, 7, 3, 23, 35, 7, 125, 157, 537, 933, 3281, 4975, 8969, 27581, 0};
static int joe_kuo_d6_initial_number02928[] = {1, 1, 3, 7, 19, 53, 81, 103, 461, 435, 777, 335, 5261, 12249, 9695, 0};
static int joe_kuo_d6_initial_number02929[] = {1, 3, 1, 7, 19, 9, 75, 245, 355, 37, 1855, 1339, 3107, 7251, 16543, 0};
static int joe_kuo_d6_initial_number02930[] = {1, 1, 1, 3, 5, 35, 39, 223, 113, 423, 1423, 713, 6113, 349, 24147, 0};
static int joe_kuo_d6_initial_number02931[] = {1, 3, 1, 1, 15, 31, 11, 75, 499, 345, 1253, 2629, 2551, 7483, 25395, 0};
static int joe_kuo_d6_initial_number02932[] = {1, 1, 3, 11, 25, 25, 3, 211, 185, 45, 1865, 1805, 3303, 11091, 529, 0};
static int joe_kuo_d6_initial_number02933[] = {1, 3, 1, 1, 9, 21, 7, 165, 107, 641, 1083, 2805, 2099, 5855, 18477, 0};
static int joe_kuo_d6_initial_number02934[] = {1, 3, 5, 3, 9, 21, 77, 103, 505, 277, 335, 797, 3869, 2957, 1979, 0};
static int joe_kuo_d6_initial_number02935[] = {1, 3, 5, 15, 31, 23, 77, 247, 303, 891, 1261, 3233, 3495, 13111, 13185, 0};
static int joe_kuo_d6_initial_number02936[] = {1, 3, 5, 11, 11, 35, 49, 229, 149, 931, 881, 775, 2949, 3141, 29157, 0};
static int joe_kuo_d6_initial_number02937[] = {1, 1, 3, 5, 19, 57, 23, 95, 347, 221, 195, 3561, 1481, 2063, 3979, 0};
static int joe_kuo_d6_initial_number02938[] = {1, 3, 5, 3, 13, 1, 23, 173, 431, 29, 421, 3235, 2751, 4447, 28283, 0};
static int joe_kuo_d6_initial_number02939[] = {1, 1, 5, 13, 23, 3, 1, 9, 327, 855, 1251, 2997, 6129, 4223, 11555, 0};
static int joe_kuo_d6_initial_number02940[] = {1, 3, 7, 13, 29, 21, 37, 229, 217, 353, 1239, 3955, 491, 12183, 14777, 0};
static int joe_kuo_d6_initial_number02941[] = {1, 1, 5, 5, 1, 33, 103, 187, 183, 939, 1873, 2633, 6143, 15405, 17353, 0};
static int joe_kuo_d6_initial_number02942[] = {1, 1, 1, 9, 21, 27, 71, 129, 499, 279, 1181, 4053, 2485, 1961, 30603, 0};
static int joe_kuo_d6_initial_number02943[] = {1, 1, 3, 15, 21, 37, 45, 201, 221, 187, 727, 1241, 6171, 1383, 22277, 0};
static int joe_kuo_d6_initial_number02944[] = {1, 3, 7, 5, 21, 17, 67, 177, 323, 601, 633, 865, 6131, 10329, 8689, 0};
static int joe_kuo_d6_initial_number02945[] = {1, 3, 5, 9, 15, 45, 71, 43, 359, 651, 103, 403, 3249, 11769, 6567, 0};
static int joe_kuo_d6_initial_number02946[] = {1, 3, 3, 13, 3, 23, 101, 145, 367, 999, 1489, 3673, 2959, 10855, 16029, 0};
static int joe_kuo_d6_initial_number02947[] = {1, 3, 7, 3, 13, 43, 123, 87, 55, 1015, 141, 2917, 6567, 16025, 25555, 0};
static int joe_kuo_d6_initial_number02948[] = {1, 3, 1, 3, 17, 7, 21, 161, 41, 889, 1315, 1897, 639, 15451, 3049, 0};
static int joe_kuo_d6_initial_number02949[] = {1, 3, 5, 15, 27, 33, 55, 17, 81, 431, 325, 909, 3547, 10121, 17815, 0};
static int joe_kuo_d6_initial_number02950[] = {1, 1, 3, 1, 15, 37, 43, 137, 203, 191, 1129, 1585, 435, 3177, 769, 0};
static int joe_kuo_d6_initial_number02951[] = {1, 3, 7, 11, 21, 23, 125, 41, 17, 951, 465, 3691, 3465, 13247, 13779, 0};
static int joe_kuo_d6_initial_number02952[] = {1, 3, 3, 1, 31, 23, 43, 101, 405, 739, 1061, 2955, 5643, 16137, 8763, 0};
static int joe_kuo_d6_initial_number02953[] = {1, 1, 5, 1, 19, 33, 99, 109, 203, 65, 395, 2775, 1373, 2557, 5875, 0};
static int joe_kuo_d6_initial_number02954[] = {1, 3, 3, 3, 27, 51, 79, 63, 331, 365, 1071, 1661, 4549, 8561, 1719, 0};
static int joe_kuo_d6_initial_number02955[] = {1, 3, 3, 9, 3, 17, 53, 161, 141, 489, 1325, 1709, 1381, 5093, 171, 0};
static int joe_kuo_d6_initial_number02956[] = {1, 1, 7, 15, 9, 3, 95, 237, 197, 949, 7, 1837, 729, 10111, 6637, 0};
static int joe_kuo_d6_initial_number02957[] = {1, 1, 3, 3, 19, 31, 57, 173, 483, 861, 1001, 1919, 3389, 11777, 20693, 0};
static int joe_kuo_d6_initial_number02958[] = {1, 3, 1, 9, 27, 13, 113, 177, 75, 925, 949, 119, 4759, 7775, 23033, 0};
static int joe_kuo_d6_initial_number02959[] = {1, 1, 7, 15, 23, 15, 65, 61, 137, 653, 1843, 323, 379, 15157, 29885, 0};
static int joe_kuo_d6_initial_number02960[] = {1, 3, 3, 7, 29, 3, 11, 205, 347, 745, 1477, 3929, 5749, 4735, 29435, 0};
static int joe_kuo_d6_initial_number02961[] = {1, 3, 5, 9, 1, 11, 111, 15, 7, 69, 45, 3607, 1099, 9203, 21301, 0};
static int joe_kuo_d6_initial_number02962[] = {1, 3, 3, 3, 23, 3, 83, 173, 73, 485, 681, 1867, 3839, 11823, 13339, 0};
static int joe_kuo_d6_initial_number02963[] = {1, 1, 3, 11, 31, 43, 107, 127, 465, 389, 1595, 427, 1571, 5885, 29569, 0};
static int joe_kuo_d6_initial_number02964[] = {1, 1, 7, 9, 27, 25, 117, 27, 287, 391, 279, 3247, 35, 12973, 5483, 0};
static int joe_kuo_d6_initial_number02965[] = {1, 3, 7, 11, 19, 55, 45, 127, 245, 945, 305, 3907, 2455, 3163, 31, 0};
static int joe_kuo_d6_initial_number02966[] = {1, 1, 7, 11, 15, 17, 65, 15, 37, 207, 1447, 3027, 2281, 6557, 16717, 0};
static int joe_kuo_d6_initial_number02967[] = {1, 1, 1, 13, 5, 27, 33, 213, 29, 603, 1171, 3235, 2255, 2017, 30999, 0};
static int joe_kuo_d6_initial_number02968[] = {1, 3, 1, 5, 11, 1, 73, 233, 69, 125, 397, 297, 3337, 6191, 31055, 0};
static int joe_kuo_d6_initial_number02969[] = {1, 1, 1, 15, 1, 1, 65, 145, 201, 917, 1891, 2999, 4069, 10413, 15819, 0};
static int joe_kuo_d6_initial_number02970[] = {1, 3, 5, 13, 15, 51, 115, 167, 311, 375, 1069, 2595, 3337, 753, 11903, 0};
static int joe_kuo_d6_initial_number02971[] = {1, 1, 3, 1, 1, 23, 69, 125, 147, 915, 1945, 411, 979, 13863, 30443, 0};
static int joe_kuo_d6_initial_number02972[] = {1, 3, 1, 11, 5, 1, 93, 23, 135, 93, 1689, 23, 3519, 4491, 24673, 0};
static int joe_kuo_d6_initial_number02973[] = {1, 1, 7, 3, 11, 59, 93, 153, 487, 475, 1191, 1455, 5963, 8259, 18811, 0};
static int joe_kuo_d6_initial_number02974[] = {1, 1, 3, 1, 13, 15, 55, 71, 433, 33, 491, 1835, 5695, 10509, 347, 0};
static int joe_kuo_d6_initial_number02975[] = {1, 1, 1, 15, 19, 1, 23, 47, 235, 101, 1057, 901, 5477, 7079, 30885, 0};
static int joe_kuo_d6_initial_number02976[] = {1, 1, 5, 13, 11, 43, 119, 77, 441, 121, 783, 827, 1757, 12751, 31593, 0};
static int joe_kuo_d6_initial_number02977[] = {1, 3, 7, 11, 19, 17, 37, 225, 329, 231, 515, 1541, 7371, 6355, 10905, 0};
static int joe_kuo_d6_initial_number02978[] = {1, 1, 5, 13, 7, 11, 35, 215, 345, 577, 147, 2803, 3291, 4631, 5329, 0};
static int joe_kuo_d6_initial_number02979[] = {1, 1, 3, 9, 21, 55, 113, 251, 25, 221, 1445, 3385, 1589, 4109, 29897, 0};
static int joe_kuo_d6_initial_number02980[] = {1, 1, 5, 7, 9, 45, 5, 33, 331, 285, 1101, 3131, 2713, 5653, 3823, 0};
static int joe_kuo_d6_initial_number02981[] = {1, 3, 7, 7, 5, 39, 43, 167, 481, 629, 777, 1827, 4653, 403, 4781, 0};
static int joe_kuo_d6_initial_number02982[] = {1, 3, 3, 7, 31, 33, 31, 159, 313, 673, 1425, 663, 5819, 1297, 26627, 0};
static int joe_kuo_d6_initial_number02983[] = {1, 3, 3, 1, 19, 61, 117, 93, 373, 491, 1031, 757, 4185, 771, 7265, 0};
static int joe_kuo_d6_initial_number02984[] = {1, 1, 7, 9, 3, 45, 65, 223, 437, 41, 1139, 2733, 5963, 2709, 25429, 0};
static int joe_kuo_d6_initial_number02985[] = {1, 3, 5, 11, 21, 27, 31, 127, 255, 761, 1865, 1319, 6583, 9235, 10717, 0};
static int joe_kuo_d6_initial_number02986[] = {1, 1, 1, 5, 21, 1, 63, 43, 413, 557, 567, 2893, 8017, 2307, 29525, 0};
static int joe_kuo_d6_initial_number02987[] = {1, 1, 7, 3, 31, 1, 15, 235, 215, 395, 1971, 469, 5275, 431, 5349, 0};
static int joe_kuo_d6_initial_number02988[] = {1, 1, 1, 13, 25, 59, 71, 245, 389, 279, 1293, 89, 6551, 10285, 14495, 0};
static int joe_kuo_d6_initial_number02989[] = {1, 1, 5, 5, 9, 63, 17, 229, 425, 939, 877, 3689, 7229, 6707, 30771, 0};
static int joe_kuo_d6_initial_number02990[] = {1, 3, 7, 7, 11, 29, 43, 41, 25, 237, 1585, 3735, 2617, 7541, 26243, 0};
static int joe_kuo_d6_initial_number02991[] = {1, 1, 7, 9, 21, 5, 69, 231, 361, 39, 1695, 3043, 2973, 5487, 12857, 0};
static int joe_kuo_d6_initial_number02992[] = {1, 1, 5, 3, 17, 63, 91, 217, 407, 133, 1373, 4021, 1737, 10043, 4561, 0};
static int joe_kuo_d6_initial_number02993[] = {1, 3, 7, 9, 31, 13, 101, 231, 175, 457, 89, 2167, 2725, 8505, 375, 0};
static int joe_kuo_d6_initial_number02994[] = {1, 1, 3, 15, 31, 11, 27, 211, 347, 291, 1881, 3091, 3307, 5117, 13341, 0};
static int joe_kuo_d6_initial_number02995[] = {1, 3, 5, 5, 13, 25, 5, 197, 237, 135, 635, 1175, 5085, 14737, 10807, 0};
static int joe_kuo_d6_initial_number02996[] = {1, 3, 3, 9, 7, 63, 107, 127, 147, 477, 1813, 2619, 8089, 2651, 26549, 0};
static int joe_kuo_d6_initial_number02997[] = {1, 1, 5, 11, 15, 45, 27, 133, 45, 621, 707, 2679, 5929, 19, 9599, 0};
static int joe_kuo_d6_initial_number02998[] = {1, 3, 7, 9, 21, 37, 41, 255, 69, 1009, 1999, 367, 6177, 10017, 3549, 0};
static int joe_kuo_d6_initial_number02999[] = {1, 1, 1, 15, 19, 55, 73, 189, 423, 983, 1811, 2551, 4765, 12077, 18205, 0};
static int joe_kuo_d6_initial_number03000[] = {1, 1, 5, 7, 17, 13, 25, 225, 463, 471, 631, 1811, 5797, 3235, 32253, 0};
static int joe_kuo_d6_initial_number03001[] = {1, 3, 7, 1, 29, 7, 123, 187, 331, 735, 1757, 1115, 2077, 15725, 2183, 0};
static int joe_kuo_d6_initial_number03002[] = {1, 3, 7, 9, 17, 61, 111, 93, 21, 1003, 1905, 3719, 2111, 11845, 6427, 0};
static int joe_kuo_d6_initial_number03003[] = {1, 3, 7, 7, 17, 21, 51, 59, 115, 723, 2039, 2833, 5969, 5737, 18407, 0};
static int joe_kuo_d6_initial_number03004[] = {1, 3, 3, 13, 9, 47, 95, 233, 13, 281, 1049, 619, 405, 16205, 20097, 0};
static int joe_kuo_d6_initial_number03005[] = {1, 3, 7, 13, 9, 41, 11, 171, 453, 713, 587, 1669, 2489, 10277, 18599, 0};
static int joe_kuo_d6_initial_number03006[] = {1, 3, 3, 13, 21, 41, 123, 173, 511, 399, 859, 1515, 5773, 12535, 26289, 0};
static int joe_kuo_d6_initial_number03007[] = {1, 1, 7, 15, 11, 3, 113, 111, 73, 7, 1191, 2573, 7713, 465, 27615, 0};
static int joe_kuo_d6_initial_number03008[] = {1, 1, 7, 15, 5, 5, 39, 11, 489, 13, 1041, 1639, 7879, 11899, 6899, 0};
static int joe_kuo_d6_initial_number03009[] = {1, 1, 5, 9, 27, 31, 15, 237, 401, 795, 1675, 2361, 7333, 12507, 14627, 0};
static int joe_kuo_d6_initial_number03010[] = {1, 3, 1, 7, 21, 53, 31, 81, 189, 683, 1283, 419, 7585, 9207, 15053, 0};
static int joe_kuo_d6_initial_number03011[] = {1, 3, 5, 11, 21, 1, 49, 251, 403, 489, 1235, 429, 4855, 4081, 17575, 0};
static int joe_kuo_d6_initial_number03012[] = {1, 3, 1, 15, 29, 33, 77, 53, 105, 731, 749, 2677, 3967, 7967, 18723, 0};
static int joe_kuo_d6_initial_number03013[] = {1, 3, 3, 11, 9, 47, 11, 95, 137, 923, 599, 1585, 1969, 9625, 19171, 0};
static int joe_kuo_d6_initial_number03014[] = {1, 1, 1, 5, 7, 7, 85, 49, 339, 883, 261, 2125, 3831, 9797, 16395, 0};
static int joe_kuo_d6_initial_number03015[] = {1, 3, 3, 3, 5, 9, 33, 99, 75, 889, 101, 2099, 6635, 11511, 21573, 0};
static int joe_kuo_d6_initial_number03016[] = {1, 1, 5, 11, 1, 11, 79, 49, 7, 131, 471, 1235, 3287, 14777, 12053, 0};
static int joe_kuo_d6_initial_number03017[] = {1, 1, 5, 15, 9, 9, 83, 15, 21, 899, 1785, 2349, 3471, 6723, 1405, 0};
static int joe_kuo_d6_initial_number03018[] = {1, 3, 5, 11, 1, 7, 121, 223, 509, 859, 1037, 491, 5529, 481, 17029, 0};
static int joe_kuo_d6_initial_number03019[] = {1, 1, 7, 5, 17, 35, 91, 171, 113, 65, 423, 2371, 5105, 12827, 31087, 0};
static int joe_kuo_d6_initial_number03020[] = {1, 1, 3, 3, 21, 47, 55, 11, 159, 51, 263, 2113, 661, 9147, 28929, 0};
static int joe_kuo_d6_initial_number03021[] = {1, 1, 1, 9, 19, 7, 43, 223, 207, 787, 543, 2141, 4247, 7369, 29031, 0};
static int joe_kuo_d6_initial_number03022[] = {1, 1, 7, 11, 11, 51, 121, 9, 211, 905, 687, 889, 1827, 13395, 3507, 0};
static int joe_kuo_d6_initial_number03023[] = {1, 3, 1, 7, 15, 23, 5, 139, 469, 569, 33, 3477, 5391, 13665, 17011, 0};
static int joe_kuo_d6_initial_number03024[] = {1, 1, 1, 15, 29, 29, 29, 201, 63, 1019, 97, 1671, 9, 4617, 19833, 0};
static int joe_kuo_d6_initial_number03025[] = {1, 1, 5, 15, 25, 5, 67, 225, 189, 919, 1471, 1451, 5017, 16189, 31555, 0};
static int joe_kuo_d6_initial_number03026[] = {1, 3, 5, 5, 15, 51, 89, 221, 149, 863, 43, 2381, 1767, 8037, 5319, 0};
static int joe_kuo_d6_initial_number03027[] = {1, 3, 3, 1, 15, 17, 5, 77, 69, 27, 1883, 63, 5987, 1497, 3723, 0};
static int joe_kuo_d6_initial_number03028[] = {1, 3, 7, 11, 7, 5, 113, 229, 123, 709, 1531, 641, 6655, 14923, 22947, 0};
static int joe_kuo_d6_initial_number03029[] = {1, 3, 1, 13, 21, 15, 45, 175, 81, 499, 1113, 587, 7573, 11689, 15651, 0};
static int joe_kuo_d6_initial_number03030[] = {1, 3, 1, 1, 29, 43, 101, 37, 131, 757, 465, 743, 2737, 8063, 23967, 0};
static int joe_kuo_d6_initial_number03031[] = {1, 1, 7, 13, 9, 21, 39, 177, 51, 691, 2047, 1519, 6137, 5271, 8703, 0};
static int joe_kuo_d6_initial_number03032[] = {1, 1, 3, 3, 5, 55, 63, 21, 3, 317, 461, 527, 2673, 16211, 6721, 0};
static int joe_kuo_d6_initial_number03033[] = {1, 3, 5, 5, 5, 47, 7, 241, 387, 589, 323, 203, 7241, 14761, 13287, 0};
static int joe_kuo_d6_initial_number03034[] = {1, 3, 5, 3, 23, 63, 55, 61, 231, 1023, 1315, 1181, 243, 7389, 25639, 0};
static int joe_kuo_d6_initial_number03035[] = {1, 1, 7, 13, 31, 43, 41, 81, 127, 887, 1513, 4055, 1361, 2443, 6963, 0};
static int joe_kuo_d6_initial_number03036[] = {1, 1, 1, 5, 7, 43, 43, 33, 323, 911, 1373, 3053, 6503, 513, 6457, 0};
static int joe_kuo_d6_initial_number03037[] = {1, 1, 7, 11, 25, 61, 21, 149, 205, 349, 1433, 1587, 149, 7275, 5465, 0};
static int joe_kuo_d6_initial_number03038[] = {1, 3, 5, 5, 11, 9, 31, 217, 119, 511, 209, 3325, 2023, 2877, 463, 0};
static int joe_kuo_d6_initial_number03039[] = {1, 3, 5, 15, 21, 47, 89, 41, 347, 849, 1375, 3311, 807, 11443, 27643, 0};
static int joe_kuo_d6_initial_number03040[] = {1, 1, 5, 7, 29, 43, 123, 191, 321, 373, 447, 2145, 1221, 2071, 12689, 0};
static int joe_kuo_d6_initial_number03041[] = {1, 3, 5, 15, 1, 21, 43, 141, 461, 779, 1109, 2915, 909, 8585, 19859, 0};
static int joe_kuo_d6_initial_number03042[] = {1, 3, 3, 11, 5, 17, 57, 13, 393, 661, 1761, 2455, 43, 8593, 20505, 0};
static int joe_kuo_d6_initial_number03043[] = {1, 3, 5, 1, 31, 47, 65, 249, 77, 513, 851, 2381, 3447, 693, 7729, 0};
static int joe_kuo_d6_initial_number03044[] = {1, 3, 5, 15, 31, 19, 83, 47, 369, 697, 1815, 819, 7573, 9245, 8013, 0};
static int joe_kuo_d6_initial_number03045[] = {1, 3, 5, 5, 11, 25, 27, 151, 107, 339, 299, 3869, 3393, 5661, 2947, 0};
static int joe_kuo_d6_initial_number03046[] = {1, 1, 3, 1, 1, 59, 85, 57, 175, 465, 239, 3115, 7157, 7035, 11463, 0};
static int joe_kuo_d6_initial_number03047[] = {1, 1, 7, 5, 31, 41, 53, 149, 121, 743, 189, 159, 5289, 2945, 1179, 0};
static int joe_kuo_d6_initial_number03048[] = {1, 3, 3, 15, 23, 51, 83, 25, 159, 163, 61, 713, 4529, 5253, 1603, 0};
static int joe_kuo_d6_initial_number03049[] = {1, 3, 5, 11, 7, 29, 15, 177, 507, 695, 1305, 1863, 7525, 3063, 27433, 0};
static int joe_kuo_d6_initial_number03050[] = {1, 1, 3, 11, 5, 41, 115, 227, 409, 951, 591, 4003, 7717, 4369, 15637, 0};
static int joe_kuo_d6_initial_number03051[] = {1, 1, 7, 11, 23, 55, 71, 135, 51, 411, 2003, 2375, 6823, 1711, 4443, 0};
static int joe_kuo_d6_initial_number03052[] = {1, 3, 1, 3, 31, 47, 31, 233, 243, 3, 313, 1649, 6955, 13679, 32327, 0};
static int joe_kuo_d6_initial_number03053[] = {1, 1, 3, 11, 29, 9, 1, 79, 247, 677, 685, 3107, 5987, 9675, 29523, 0};
static int joe_kuo_d6_initial_number03054[] = {1, 1, 1, 7, 25, 31, 39, 241, 483, 839, 1143, 437, 2317, 2437, 173, 0};
static int joe_kuo_d6_initial_number03055[] = {1, 1, 5, 1, 17, 19, 83, 57, 39, 479, 715, 1911, 1091, 10937, 22145, 0};
static int joe_kuo_d6_initial_number03056[] = {1, 1, 7, 1, 27, 45, 35, 55, 477, 719, 217, 3349, 7717, 6853, 9699, 0};
static int joe_kuo_d6_initial_number03057[] = {1, 3, 1, 11, 9, 39, 25, 223, 303, 713, 151, 2611, 4629, 5855, 31729, 0};
static int joe_kuo_d6_initial_number03058[] = {1, 1, 1, 11, 13, 35, 53, 39, 167, 779, 1673, 1221, 6281, 15113, 32027, 0};
static int joe_kuo_d6_initial_number03059[] = {1, 1, 5, 9, 19, 63, 89, 113, 199, 107, 1015, 835, 2879, 9499, 25597, 0};
static int joe_kuo_d6_initial_number03060[] = {1, 1, 7, 3, 19, 37, 15, 23, 449, 641, 1811, 3407, 6775, 6283, 31157, 0};
static int joe_kuo_d6_initial_number03061[] = {1, 1, 3, 1, 19, 15, 31, 99, 511, 897, 1693, 2093, 955, 15897, 26693, 0};
static int joe_kuo_d6_initial_number03062[] = {1, 1, 5, 1, 5, 15, 47, 19, 441, 541, 1621, 3877, 6407, 15991, 1931, 0};
static int joe_kuo_d6_initial_number03063[] = {1, 3, 5, 9, 21, 61, 15, 77, 265, 351, 879, 3835, 6555, 2349, 23235, 0};
static int joe_kuo_d6_initial_number03064[] = {1, 1, 5, 11, 25, 37, 29, 181, 341, 641, 1213, 1319, 6359, 6231, 32573, 0};
static int joe_kuo_d6_initial_number03065[] = {1, 1, 1, 7, 1, 37, 87, 123, 33, 913, 111, 2613, 4895, 12595, 26633, 0};
static int joe_kuo_d6_initial_number03066[] = {1, 3, 5, 3, 27, 11, 45, 89, 183, 241, 1355, 783, 3343, 239, 8643, 0};
static int joe_kuo_d6_initial_number03067[] = {1, 3, 7, 7, 9, 35, 67, 187, 233, 577, 1445, 3063, 6039, 16233, 1453, 0};
static int joe_kuo_d6_initial_number03068[] = {1, 1, 3, 13, 27, 11, 23, 15, 95, 63, 1931, 911, 8149, 6833, 3051, 0};
static int joe_kuo_d6_initial_number03069[] = {1, 3, 3, 5, 29, 49, 125, 117, 47, 143, 423, 3215, 3605, 3677, 17155, 0};
static int joe_kuo_d6_initial_number03070[] = {1, 3, 1, 1, 31, 1, 123, 195, 83, 893, 1947, 339, 2927, 7183, 15443, 0};
static int joe_kuo_d6_initial_number03071[] = {1, 1, 7, 13, 31, 15, 91, 207, 39, 275, 439, 2617, 3093, 11041, 24997, 0};
static int joe_kuo_d6_initial_number03072[] = {1, 1, 5, 3, 3, 41, 13, 67, 361, 497, 25, 3807, 3551, 9681, 21043, 0};
static int joe_kuo_d6_initial_number03073[] = {1, 3, 3, 3, 11, 27, 103, 59, 427, 327, 1705, 29, 8127, 1641, 20847, 0};
static int joe_kuo_d6_initial_number03074[] = {1, 3, 7, 5, 3, 37, 81, 137, 225, 101, 187, 3067, 2491, 12687, 16227, 0};
static int joe_kuo_d6_initial_number03075[] = {1, 3, 5, 15, 15, 33, 69, 223, 225, 771, 1917, 2293, 2889, 12083, 23971, 0};
static int joe_kuo_d6_initial_number03076[] = {1, 1, 3, 5, 11, 9, 121, 81, 203, 425, 1189, 2011, 3041, 3247, 739, 0};
static int joe_kuo_d6_initial_number03077[] = {1, 3, 1, 1, 13, 9, 39, 169, 437, 571, 1481, 3355, 3895, 8975, 31031, 0};
static int joe_kuo_d6_initial_number03078[] = {1, 3, 1, 11, 1, 43, 35, 35, 293, 11, 657, 1415, 5021, 14463, 17945, 0};
static int joe_kuo_d6_initial_number03079[] = {1, 1, 5, 5, 13, 47, 91, 15, 159, 23, 971, 3575, 757, 13477, 31757, 0};
static int joe_kuo_d6_initial_number03080[] = {1, 1, 7, 1, 5, 63, 69, 27, 71, 129, 123, 3767, 89, 7865, 1189, 0};
static int joe_kuo_d6_initial_number03081[] = {1, 3, 3, 5, 23, 1, 83, 3, 487, 491, 217, 2583, 3889, 15009, 9227, 0};
static int joe_kuo_d6_initial_number03082[] = {1, 3, 5, 15, 25, 1, 73, 107, 245, 191, 1449, 571, 1403, 6953, 17457, 0};
static int joe_kuo_d6_initial_number03083[] = {1, 3, 3, 3, 27, 19, 25, 105, 207, 857, 1161, 3657, 2107, 7955, 517, 0};
static int joe_kuo_d6_initial_number03084[] = {1, 3, 3, 9, 21, 29, 5, 103, 219, 35, 3, 1635, 4815, 15797, 29839, 0};
static int joe_kuo_d6_initial_number03085[] = {1, 1, 7, 7, 3, 63, 75, 77, 13, 57, 603, 2333, 7761, 14397, 10875, 0};
static int joe_kuo_d6_initial_number03086[] = {1, 3, 7, 13, 3, 11, 5, 255, 1, 947, 1695, 1927, 7447, 7407, 20797, 0};
static int joe_kuo_d6_initial_number03087[] = {1, 1, 5, 1, 1, 21, 105, 73, 429, 973, 1801, 3943, 6161, 1309, 3359, 0};
static int joe_kuo_d6_initial_number03088[] = {1, 1, 3, 15, 27, 9, 9, 129, 117, 545, 9, 1983, 6351, 10925, 27337, 0};
static int joe_kuo_d6_initial_number03089[] = {1, 3, 3, 5, 5, 5, 13, 155, 503, 875, 1243, 2259, 3445, 11953, 6517, 0};
static int joe_kuo_d6_initial_number03090[] = {1, 1, 7, 3, 29, 21, 121, 147, 413, 423, 1887, 2429, 2765, 16335, 3071, 0};
static int joe_kuo_d6_initial_number03091[] = {1, 1, 7, 9, 5, 53, 41, 137, 463, 583, 1627, 1731, 6675, 3703, 8177, 0};
static int joe_kuo_d6_initial_number03092[] = {1, 3, 5, 11, 31, 29, 67, 159, 425, 25, 1457, 139, 5019, 701, 7357, 0};
static int joe_kuo_d6_initial_number03093[] = {1, 3, 1, 5, 25, 15, 123, 123, 245, 859, 249, 2175, 2137, 5765, 4873, 0};
static int joe_kuo_d6_initial_number03094[] = {1, 1, 3, 5, 23, 1, 111, 111, 111, 469, 1473, 1777, 3579, 13503, 2569, 0};
static int joe_kuo_d6_initial_number03095[] = {1, 1, 7, 3, 17, 23, 51, 23, 499, 135, 713, 3317, 807, 9589, 11349, 0};
static int joe_kuo_d6_initial_number03096[] = {1, 1, 1, 15, 9, 51, 75, 159, 359, 773, 1521, 2913, 5901, 3047, 14649, 0};
static int joe_kuo_d6_initial_number03097[] = {1, 1, 3, 1, 13, 61, 117, 195, 49, 267, 57, 1769, 3621, 9415, 29443, 0};
static int joe_kuo_d6_initial_number03098[] = {1, 3, 7, 11, 3, 25, 33, 31, 315, 191, 359, 3399, 2481, 13831, 20205, 0};
static int joe_kuo_d6_initial_number03099[] = {1, 3, 3, 5, 31, 43, 35, 125, 291, 51, 1469, 3857, 1707, 2641, 32137, 0};
static int joe_kuo_d6_initial_number03100[] = {1, 3, 5, 1, 25, 11, 113, 137, 211, 159, 1667, 939, 6439, 5337, 32059, 0};
static int joe_kuo_d6_initial_number03101[] = {1, 3, 3, 11, 31, 61, 99, 49, 383, 343, 395, 51, 6931, 16039, 5901, 0};
static int joe_kuo_d6_initial_number03102[] = {1, 1, 3, 5, 9, 63, 63, 49, 405, 915, 1505, 2141, 6749, 7799, 17313, 0};
static int joe_kuo_d6_initial_number03103[] = {1, 3, 7, 11, 15, 11, 49, 161, 155, 869, 121, 301, 6561, 4279, 15233, 0};
static int joe_kuo_d6_initial_number03104[] = {1, 1, 5, 13, 19, 13, 103, 59, 503, 293, 701, 2527, 5327, 13927, 5025, 0};
static int joe_kuo_d6_initial_number03105[] = {1, 1, 7, 1, 1, 37, 55, 155, 485, 399, 855, 2677, 5927, 9657, 2795, 0};
static int joe_kuo_d6_initial_number03106[] = {1, 1, 1, 5, 19, 15, 121, 69, 385, 75, 1567, 2649, 5601, 12981, 15903, 0};
static int joe_kuo_d6_initial_number03107[] = {1, 1, 1, 11, 19, 21, 45, 59, 505, 737, 15, 1383, 1177, 8375, 15557, 0};
static int joe_kuo_d6_initial_number03108[] = {1, 1, 7, 13, 29, 19, 123, 127, 469, 773, 733, 3289, 8087, 5803, 27897, 0};
static int joe_kuo_d6_initial_number03109[] = {1, 3, 3, 11, 19, 55, 101, 67, 485, 939, 607, 1521, 6161, 12235, 16499, 0};
static int joe_kuo_d6_initial_number03110[] = {1, 3, 5, 13, 29, 31, 31, 9, 453, 151, 1055, 3873, 405, 12877, 29829, 0};
static int joe_kuo_d6_initial_number03111[] = {1, 3, 5, 1, 17, 1, 17, 131, 107, 1003, 1749, 1849, 6207, 2153, 21275, 0};
static int joe_kuo_d6_initial_number03112[] = {1, 3, 7, 15, 7, 25, 51, 143, 51, 517, 1841, 1771, 5389, 4633, 11123, 0};
static int joe_kuo_d6_initial_number03113[] = {1, 3, 7, 11, 23, 7, 89, 95, 403, 361, 835, 585, 2783, 8091, 5141, 0};
static int joe_kuo_d6_initial_number03114[] = {1, 3, 1, 9, 1, 53, 115, 11, 493, 587, 305, 3605, 1711, 4169, 20013, 0};
static int joe_kuo_d6_initial_number03115[] = {1, 3, 7, 3, 17, 59, 55, 251, 49, 759, 1227, 3685, 7765, 1445, 20385, 0};
static int joe_kuo_d6_initial_number03116[] = {1, 1, 5, 7, 29, 55, 19, 157, 129, 927, 893, 1235, 1955, 8153, 2865, 0};
static int joe_kuo_d6_initial_number03117[] = {1, 3, 1, 15, 21, 35, 81, 53, 175, 939, 1635, 3597, 747, 14011, 12867, 0};
static int joe_kuo_d6_initial_number03118[] = {1, 3, 7, 1, 27, 61, 91, 73, 405, 677, 603, 2715, 7099, 941, 24523, 0};
static int joe_kuo_d6_initial_number03119[] = {1, 3, 5, 9, 13, 45, 35, 167, 57, 483, 735, 2777, 7847, 6257, 13109, 0};
static int joe_kuo_d6_initial_number03120[] = {1, 3, 5, 7, 1, 3, 97, 13, 159, 533, 1791, 1061, 981, 10795, 26165, 0};
static int joe_kuo_d6_initial_number03121[] = {1, 1, 5, 13, 27, 5, 125, 25, 251, 221, 1909, 197, 6987, 11537, 15287, 0};
static int joe_kuo_d6_initial_number03122[] = {1, 3, 5, 5, 27, 15, 1, 131, 375, 923, 81, 3153, 6071, 2515, 23729, 0};
static int joe_kuo_d6_initial_number03123[] = {1, 3, 3, 9, 9, 23, 71, 13, 465, 261, 937, 1549, 5993, 11325, 15065, 0};
static int joe_kuo_d6_initial_number03124[] = {1, 3, 1, 3, 7, 63, 17, 129, 435, 23, 215, 2251, 1561, 9703, 26483, 0};
static int joe_kuo_d6_initial_number03125[] = {1, 1, 3, 1, 5, 53, 77, 109, 9, 605, 371, 2081, 6023, 7145, 15837, 0};
static int joe_kuo_d6_initial_number03126[] = {1, 3, 7, 11, 27, 39, 115, 47, 259, 337, 1857, 3465, 1549, 7747, 8525, 0};
static int joe_kuo_d6_initial_number03127[] = {1, 3, 7, 7, 29, 29, 75, 77, 29, 661, 899, 3137, 2661, 15271, 28093, 0};
static int joe_kuo_d6_initial_number03128[] = {1, 1, 1, 3, 3, 3, 11, 219, 39, 757, 1465, 249, 7445, 7013, 15187, 0};
static int joe_kuo_d6_initial_number03129[] = {1, 3, 7, 15, 15, 1, 39, 245, 427, 1003, 1493, 1913, 6435, 14787, 13481, 0};
static int joe_kuo_d6_initial_number03130[] = {1, 1, 7, 3, 3, 37, 5, 97, 343, 833, 1379, 1551, 5403, 1843, 5877, 0};
static int joe_kuo_d6_initial_number03131[] = {1, 3, 1, 1, 3, 17, 17, 163, 339, 691, 1707, 1845, 5941, 4259, 24531, 0};
static int joe_kuo_d6_initial_number03132[] = {1, 1, 1, 1, 27, 21, 85, 221, 71, 949, 1753, 391, 6349, 15901, 20811, 0};
static int joe_kuo_d6_initial_number03133[] = {1, 1, 1, 5, 31, 19, 45, 99, 469, 783, 1747, 3807, 5889, 9485, 13715, 0};
static int joe_kuo_d6_initial_number03134[] = {1, 3, 1, 9, 23, 21, 39, 25, 421, 713, 461, 2857, 5023, 5341, 6409, 0};
static int joe_kuo_d6_initial_number03135[] = {1, 3, 7, 5, 25, 19, 59, 147, 387, 857, 375, 3103, 1261, 13697, 25675, 0};
static int joe_kuo_d6_initial_number03136[] = {1, 3, 5, 5, 31, 21, 49, 251, 463, 441, 473, 3487, 3915, 11151, 17721, 0};
static int joe_kuo_d6_initial_number03137[] = {1, 1, 3, 9, 15, 47, 81, 219, 143, 141, 81, 1705, 5847, 3437, 30521, 0};
static int joe_kuo_d6_initial_number03138[] = {1, 1, 7, 3, 25, 19, 97, 41, 77, 105, 1337, 695, 7589, 8587, 7509, 0};
static int joe_kuo_d6_initial_number03139[] = {1, 1, 5, 13, 3, 11, 61, 19, 139, 667, 963, 1567, 5715, 7079, 15967, 0};
static int joe_kuo_d6_initial_number03140[] = {1, 1, 5, 5, 5, 29, 67, 57, 477, 173, 1163, 727, 823, 15635, 17705, 0};
static int joe_kuo_d6_initial_number03141[] = {1, 3, 7, 11, 13, 39, 57, 193, 73, 617, 535, 1623, 4581, 4451, 2589, 0};
static int joe_kuo_d6_initial_number03142[] = {1, 1, 5, 5, 9, 27, 75, 127, 325, 413, 1669, 1749, 8045, 16199, 12237, 0};
static int joe_kuo_d6_initial_number03143[] = {1, 1, 3, 1, 17, 23, 27, 189, 319, 953, 347, 909, 4401, 12791, 25077, 0};
static int joe_kuo_d6_initial_number03144[] = {1, 1, 3, 3, 17, 51, 37, 79, 301, 607, 885, 1169, 3275, 3327, 20013, 0};
static int joe_kuo_d6_initial_number03145[] = {1, 3, 5, 3, 21, 9, 99, 213, 387, 889, 575, 3591, 5377, 2981, 23989, 0};
static int joe_kuo_d6_initial_number03146[] = {1, 3, 3, 13, 11, 7, 23, 255, 279, 853, 453, 2377, 8123, 15393, 9669, 0};
static int joe_kuo_d6_initial_number03147[] = {1, 3, 1, 7, 11, 9, 109, 35, 405, 449, 1967, 2943, 3485, 5031, 14273, 0};
static int joe_kuo_d6_initial_number03148[] = {1, 3, 3, 1, 25, 27, 43, 115, 435, 675, 1937, 1477, 4831, 9417, 7017, 0};
static int joe_kuo_d6_initial_number03149[] = {1, 1, 7, 13, 19, 45, 83, 241, 487, 215, 1453, 209, 4061, 1765, 15623, 0};
static int joe_kuo_d6_initial_number03150[] = {1, 1, 7, 7, 21, 31, 95, 9, 287, 1005, 1933, 3405, 6913, 7733, 18975, 0};
static int joe_kuo_d6_initial_number03151[] = {1, 1, 1, 11, 13, 11, 25, 39, 283, 57, 255, 2809, 5767, 6127, 6705, 0};
static int joe_kuo_d6_initial_number03152[] = {1, 3, 1, 11, 1, 51, 73, 181, 261, 215, 385, 2777, 5169, 12431, 23563, 0};
static int joe_kuo_d6_initial_number03153[] = {1, 3, 3, 9, 9, 39, 123, 197, 501, 679, 109, 3369, 4817, 8855, 7997, 0};
static int joe_kuo_d6_initial_number03154[] = {1, 1, 5, 1, 29, 61, 15, 183, 453, 999, 1211, 3217, 8035, 5153, 19975, 0};
static int joe_kuo_d6_initial_number03155[] = {1, 3, 7, 11, 11, 21, 51, 45, 379, 793, 289, 309, 1229, 7159, 581, 0};
static int joe_kuo_d6_initial_number03156[] = {1, 1, 3, 9, 17, 11, 75, 67, 289, 191, 1083, 2949, 6063, 6611, 21595, 0};
static int joe_kuo_d6_initial_number03157[] = {1, 3, 7, 3, 27, 45, 59, 193, 485, 277, 27, 1219, 2389, 15875, 6273, 0};
static int joe_kuo_d6_initial_number03158[] = {1, 1, 5, 3, 31, 29, 65, 197, 115, 163, 9, 783, 5573, 2833, 12603, 0};
static int joe_kuo_d6_initial_number03159[] = {1, 1, 3, 7, 5, 53, 115, 181, 175, 749, 1335, 1151, 2131, 12467, 15811, 0};
static int joe_kuo_d6_initial_number03160[] = {1, 1, 1, 9, 27, 39, 11, 1, 443, 677, 777, 1857, 7459, 3177, 3875, 0};
static int joe_kuo_d6_initial_number03161[] = {1, 1, 7, 7, 17, 3, 23, 161, 105, 603, 1991, 3845, 465, 11467, 2077, 0};
static int joe_kuo_d6_initial_number03162[] = {1, 1, 3, 13, 5, 23, 39, 35, 399, 795, 265, 207, 1823, 15069, 31839, 0};
static int joe_kuo_d6_initial_number03163[] = {1, 1, 1, 1, 29, 61, 89, 193, 41, 99, 315, 1021, 6109, 12507, 19973, 0};
static int joe_kuo_d6_initial_number03164[] = {1, 1, 5, 3, 13, 57, 119, 251, 215, 695, 1521, 4081, 2481, 657, 855, 0};
static int joe_kuo_d6_initial_number03165[] = {1, 1, 7, 3, 25, 5, 3, 133, 111, 385, 773, 1027, 4327, 3031, 3537, 0};
static int joe_kuo_d6_initial_number03166[] = {1, 3, 7, 5, 5, 27, 43, 117, 479, 83, 1421, 2791, 6551, 6231, 10353, 0};
static int joe_kuo_d6_initial_number03167[] = {1, 1, 1, 13, 3, 29, 35, 71, 85, 821, 1671, 3057, 797, 13683, 7025, 0};
static int joe_kuo_d6_initial_number03168[] = {1, 3, 7, 1, 1, 47, 117, 233, 141, 993, 1381, 2551, 1031, 11765, 18429, 0};
static int joe_kuo_d6_initial_number03169[] = {1, 3, 1, 3, 13, 3, 77, 29, 35, 807, 1109, 695, 5605, 5477, 449, 0};
static int joe_kuo_d6_initial_number03170[] = {1, 1, 1, 15, 21, 37, 117, 105, 273, 311, 1287, 1415, 1221, 1847, 19487, 0};
static int joe_kuo_d6_initial_number03171[] = {1, 3, 1, 11, 21, 61, 107, 225, 335, 501, 1995, 2399, 5475, 12613, 18877, 0};
static int joe_kuo_d6_initial_number03172[] = {1, 3, 3, 1, 31, 41, 27, 205, 103, 837, 639, 2007, 2759, 12471, 1457, 0};
static int joe_kuo_d6_initial_number03173[] = {1, 1, 7, 13, 29, 39, 71, 245, 105, 235, 1277, 1515, 6129, 15947, 26653, 0};
static int joe_kuo_d6_initial_number03174[] = {1, 1, 7, 5, 7, 13, 87, 251, 315, 1017, 587, 2917, 5911, 2919, 29715, 0};
static int joe_kuo_d6_initial_number03175[] = {1, 1, 1, 3, 7, 19, 81, 243, 177, 917, 2023, 2365, 7465, 4901, 29841, 0};
static int joe_kuo_d6_initial_number03176[] = {1, 3, 5, 15, 1, 31, 15, 147, 285, 1003, 1757, 47, 6925, 1197, 19633, 0};
static int joe_kuo_d6_initial_number03177[] = {1, 1, 5, 7, 27, 25, 47, 209, 85, 403, 1399, 2331, 3663, 595, 13407, 0};
static int joe_kuo_d6_initial_number03178[] = {1, 3, 5, 9, 7, 25, 7, 139, 389, 817, 1153, 1421, 5735, 9577, 10269, 0};
static int joe_kuo_d6_initial_number03179[] = {1, 1, 1, 9, 5, 61, 49, 117, 389, 541, 433, 1405, 2575, 223, 7265, 0};
static int joe_kuo_d6_initial_number03180[] = {1, 1, 5, 7, 15, 1, 81, 207, 435, 843, 835, 3797, 7637, 5333, 31115, 0};
static int joe_kuo_d6_initial_number03181[] = {1, 3, 7, 11, 13, 3, 47, 249, 301, 715, 2015, 3049, 8155, 10989, 26051, 0};
static int joe_kuo_d6_initial_number03182[] = {1, 1, 7, 7, 3, 33, 119, 113, 381, 575, 367, 41, 3317, 11727, 4351, 0};
static int joe_kuo_d6_initial_number03183[] = {1, 3, 3, 13, 9, 3, 51, 37, 173, 137, 533, 1827, 631, 10047, 6267, 0};
static int joe_kuo_d6_initial_number03184[] = {1, 3, 3, 11, 17, 39, 61, 245, 13, 139, 1281, 1319, 1233, 13629, 32269, 0};
static int joe_kuo_d6_initial_number03185[] = {1, 1, 1, 7, 15, 17, 91, 109, 163, 609, 11, 3251, 7653, 14035, 31755, 0};
static int joe_kuo_d6_initial_number03186[] = {1, 3, 3, 15, 13, 21, 55, 231, 385, 133, 1833, 2637, 6935, 14303, 26745, 0};
static int joe_kuo_d6_initial_number03187[] = {1, 1, 1, 7, 17, 41, 125, 141, 89, 823, 1411, 3637, 6211, 13323, 6111, 0};
static int joe_kuo_d6_initial_number03188[] = {1, 1, 1, 11, 1, 21, 9, 43, 97, 685, 1223, 1491, 121, 1793, 2397, 0};
static int joe_kuo_d6_initial_number03189[] = {1, 3, 5, 5, 17, 17, 5, 223, 129, 865, 1839, 1137, 6391, 4377, 9233, 0};
static int joe_kuo_d6_initial_number03190[] = {1, 3, 7, 15, 21, 55, 5, 77, 341, 637, 1853, 1435, 1195, 9283, 21257, 0};
static int joe_kuo_d6_initial_number03191[] = {1, 3, 5, 1, 9, 49, 43, 211, 127, 655, 1397, 1235, 5279, 2351, 24229, 0};
static int joe_kuo_d6_initial_number03192[] = {1, 3, 5, 3, 25, 29, 13, 229, 25, 675, 837, 2753, 2125, 9863, 11293, 0};
static int joe_kuo_d6_initial_number03193[] = {1, 3, 5, 7, 23, 43, 127, 1, 163, 237, 337, 3019, 7747, 16227, 2881, 0};
static int joe_kuo_d6_initial_number03194[] = {1, 3, 5, 5, 25, 9, 43, 171, 421, 521, 1885, 337, 7873, 6347, 13181, 0};
static int joe_kuo_d6_initial_number03195[] = {1, 3, 5, 5, 7, 47, 107, 173, 163, 191, 625, 3389, 2833, 7945, 24787, 0};
static int joe_kuo_d6_initial_number03196[] = {1, 1, 7, 3, 27, 57, 27, 209, 253, 815, 301, 1633, 3945, 5051, 28851, 0};
static int joe_kuo_d6_initial_number03197[] = {1, 3, 7, 9, 9, 51, 103, 213, 437, 189, 1857, 1331, 5551, 10641, 27405, 0};
static int joe_kuo_d6_initial_number03198[] = {1, 1, 5, 5, 15, 1, 25, 105, 117, 347, 161, 3369, 3589, 12903, 23559, 0};
static int joe_kuo_d6_initial_number03199[] = {1, 1, 1, 5, 3, 61, 93, 51, 81, 281, 1383, 745, 4137, 2005, 3635, 0};
static int joe_kuo_d6_initial_number03200[] = {1, 3, 7, 5, 13, 57, 111, 211, 303, 477, 359, 4019, 6779, 5129, 22035, 0};
static int joe_kuo_d6_initial_number03201[] = {1, 1, 1, 7, 17, 29, 113, 113, 201, 531, 749, 739, 2879, 3315, 18733, 0};
static int joe_kuo_d6_initial_number03202[] = {1, 3, 7, 13, 21, 55, 21, 183, 359, 75, 377, 2211, 4281, 14317, 28307, 0};
static int joe_kuo_d6_initial_number03203[] = {1, 3, 7, 1, 21, 1, 49, 213, 317, 75, 113, 1741, 7963, 12785, 11571, 0};
static int joe_kuo_d6_initial_number03204[] = {1, 3, 7, 9, 11, 31, 29, 101, 261, 141, 715, 2727, 8187, 2075, 32433, 0};
static int joe_kuo_d6_initial_number03205[] = {1, 3, 7, 3, 23, 9, 17, 143, 385, 211, 593, 241, 6567, 10777, 6677, 0};
static int joe_kuo_d6_initial_number03206[] = {1, 1, 3, 15, 3, 17, 117, 99, 91, 793, 989, 2421, 5643, 16103, 9759, 0};
static int joe_kuo_d6_initial_number03207[] = {1, 3, 7, 11, 23, 43, 107, 35, 421, 431, 743, 853, 7939, 12169, 4199, 0};
static int joe_kuo_d6_initial_number03208[] = {1, 1, 1, 11, 21, 53, 17, 203, 123, 395, 59, 929, 255, 7585, 10945, 0};
static int joe_kuo_d6_initial_number03209[] = {1, 3, 3, 15, 17, 57, 57, 133, 67, 71, 1685, 903, 4079, 15423, 26495, 0};
static int joe_kuo_d6_initial_number03210[] = {1, 1, 1, 15, 3, 47, 95, 39, 405, 407, 1557, 3001, 6225, 15187, 5663, 0};
static int joe_kuo_d6_initial_number03211[] = {1, 3, 5, 5, 13, 47, 33, 61, 375, 1023, 1981, 2773, 2375, 11321, 17731, 0};
static int joe_kuo_d6_initial_number03212[] = {1, 3, 5, 9, 17, 59, 117, 95, 493, 149, 1269, 2865, 369, 2109, 24601, 0};
static int joe_kuo_d6_initial_number03213[] = {1, 3, 5, 13, 17, 63, 67, 247, 95, 721, 67, 305, 6179, 15399, 32559, 0};
static int joe_kuo_d6_initial_number03214[] = {1, 1, 5, 1, 3, 21, 41, 15, 453, 475, 2017, 3193, 5903, 897, 4237, 0};
static int joe_kuo_d6_initial_number03215[] = {1, 1, 5, 3, 15, 41, 1, 141, 441, 575, 155, 3791, 7711, 11231, 24611, 0};
static int joe_kuo_d6_initial_number03216[] = {1, 3, 7, 1, 17, 53, 27, 169, 31, 437, 963, 1793, 7777, 1917, 29311, 0};
static int joe_kuo_d6_initial_number03217[] = {1, 3, 3, 13, 9, 27, 77, 87, 329, 885, 749, 1713, 6013, 6921, 629, 0};
static int joe_kuo_d6_initial_number03218[] = {1, 3, 5, 13, 3, 7, 53, 27, 353, 267, 925, 2141, 439, 15175, 30851, 0};
static int joe_kuo_d6_initial_number03219[] = {1, 3, 3, 13, 17, 57, 35, 101, 265, 901, 1825, 2159, 6149, 5967, 24023, 0};
static int joe_kuo_d6_initial_number03220[] = {1, 1, 5, 11, 13, 51, 99, 111, 193, 415, 1541, 2929, 5045, 3147, 12587, 0};
static int joe_kuo_d6_initial_number03221[] = {1, 3, 7, 11, 15, 9, 33, 17, 511, 815, 299, 1077, 6171, 10451, 15039, 0};
static int joe_kuo_d6_initial_number03222[] = {1, 1, 1, 15, 25, 63, 51, 137, 449, 951, 1051, 1101, 4725, 2463, 7355, 0};
static int joe_kuo_d6_initial_number03223[] = {1, 1, 1, 7, 27, 63, 29, 179, 317, 521, 1459, 827, 6599, 13459, 15439, 0};
static int joe_kuo_d6_initial_number03224[] = {1, 3, 3, 15, 17, 31, 37, 191, 229, 245, 181, 941, 5761, 1849, 31599, 0};
static int joe_kuo_d6_initial_number03225[] = {1, 1, 1, 9, 27, 45, 67, 239, 481, 615, 1667, 3751, 8141, 10013, 2125, 0};
static int joe_kuo_d6_initial_number03226[] = {1, 1, 1, 1, 13, 51, 117, 135, 73, 151, 1291, 2541, 1411, 3767, 26949, 0};
static int joe_kuo_d6_initial_number03227[] = {1, 3, 1, 9, 7, 11, 21, 187, 243, 857, 1951, 865, 7273, 2041, 8155, 0};
static int joe_kuo_d6_initial_number03228[] = {1, 1, 3, 3, 19, 33, 89, 115, 455, 137, 707, 1867, 4221, 2433, 9119, 0};
static int joe_kuo_d6_initial_number03229[] = {1, 1, 3, 11, 5, 3, 121, 1, 71, 951, 603, 3873, 723, 3285, 19289, 0};
static int joe_kuo_d6_initial_number03230[] = {1, 3, 7, 15, 21, 1, 117, 17, 455, 519, 731, 3003, 5741, 9557, 29163, 0};
static int joe_kuo_d6_initial_number03231[] = {1, 1, 3, 13, 25, 5, 43, 147, 209, 895, 255, 1231, 241, 487, 15593, 0};
static int joe_kuo_d6_initial_number03232[] = {1, 1, 3, 13, 7, 1, 89, 187, 217, 927, 2029, 3521, 2777, 8103, 22819, 0};
static int joe_kuo_d6_initial_number03233[] = {1, 1, 7, 11, 7, 33, 3, 73, 5, 489, 227, 2259, 7031, 6425, 26135, 0};
static int joe_kuo_d6_initial_number03234[] = {1, 3, 3, 7, 31, 19, 97, 201, 455, 819, 945, 2771, 8083, 8711, 2835, 0};
static int joe_kuo_d6_initial_number03235[] = {1, 1, 1, 5, 15, 45, 43, 157, 245, 967, 877, 2289, 4499, 9891, 18827, 0};
static int joe_kuo_d6_initial_number03236[] = {1, 3, 1, 7, 21, 59, 123, 63, 231, 485, 1781, 1211, 4597, 5269, 1607, 0};
static int joe_kuo_d6_initial_number03237[] = {1, 1, 1, 13, 23, 39, 105, 55, 249, 991, 1625, 3089, 3825, 4275, 29139, 0};
static int joe_kuo_d6_initial_number03238[] = {1, 3, 3, 1, 29, 29, 55, 169, 13, 895, 1355, 1101, 6063, 12935, 23215, 0};
static int joe_kuo_d6_initial_number03239[] = {1, 1, 5, 5, 31, 49, 99, 137, 209, 1017, 1179, 3931, 637, 14131, 19285, 0};
static int joe_kuo_d6_initial_number03240[] = {1, 1, 1, 1, 3, 11, 119, 11, 215, 337, 243, 3883, 3807, 7335, 11901, 0};
static int joe_kuo_d6_initial_number03241[] = {1, 3, 7, 3, 7, 27, 71, 225, 219, 367, 1213, 2739, 1185, 10175, 21313, 0};
static int joe_kuo_d6_initial_number03242[] = {1, 3, 7, 13, 7, 49, 23, 223, 61, 1011, 797, 1335, 6711, 5961, 5605, 0};
static int joe_kuo_d6_initial_number03243[] = {1, 3, 3, 11, 19, 37, 1, 149, 39, 661, 929, 2125, 2299, 5181, 28083, 0};
static int joe_kuo_d6_initial_number03244[] = {1, 3, 3, 13, 13, 9, 67, 21, 463, 279, 529, 523, 6705, 11011, 31695, 0};
static int joe_kuo_d6_initial_number03245[] = {1, 3, 1, 5, 13, 1, 123, 3, 291, 625, 1949, 2713, 5917, 10343, 13627, 0};
static int joe_kuo_d6_initial_number03246[] = {1, 1, 3, 9, 27, 41, 3, 207, 103, 265, 811, 549, 6109, 313, 8889, 0};
static int joe_kuo_d6_initial_number03247[] = {1, 3, 3, 13, 23, 43, 99, 33, 279, 463, 955, 793, 4113, 10615, 16957, 0};
static int joe_kuo_d6_initial_number03248[] = {1, 1, 5, 7, 11, 49, 79, 45, 17, 937, 359, 1037, 1099, 3003, 31561, 0};
static int joe_kuo_d6_initial_number03249[] = {1, 1, 1, 7, 3, 45, 111, 35, 109, 983, 53, 4057, 7349, 3599, 2209, 0};
static int joe_kuo_d6_initial_number03250[] = {1, 3, 7, 11, 9, 43, 27, 9, 85, 529, 1497, 347, 759, 12449, 11373, 0};
static int joe_kuo_d6_initial_number03251[] = {1, 1, 3, 9, 17, 1, 49, 31, 367, 813, 1385, 2025, 773, 4679, 4543, 0};
static int joe_kuo_d6_initial_number03252[] = {1, 1, 5, 15, 15, 9, 43, 97, 239, 995, 1037, 841, 4167, 12113, 23765, 0};
static int joe_kuo_d6_initial_number03253[] = {1, 3, 5, 9, 29, 53, 123, 49, 221, 113, 1157, 73, 6087, 1363, 11029, 0};
static int joe_kuo_d6_initial_number03254[] = {1, 3, 1, 13, 3, 15, 69, 199, 279, 919, 5, 161, 4817, 15031, 121, 0};
static int joe_kuo_d6_initial_number03255[] = {1, 3, 1, 9, 3, 31, 117, 77, 393, 241, 645, 3181, 1067, 15879, 2037, 0};
static int joe_kuo_d6_initial_number03256[] = {1, 3, 3, 15, 3, 63, 57, 33, 117, 789, 941, 1301, 5865, 12693, 3523, 0};
static int joe_kuo_d6_initial_number03257[] = {1, 1, 5, 13, 3, 61, 51, 151, 175, 305, 95, 1557, 6567, 7841, 13903, 0};
static int joe_kuo_d6_initial_number03258[] = {1, 3, 3, 5, 15, 25, 127, 79, 245, 767, 645, 3933, 1357, 12579, 4067, 0};
static int joe_kuo_d6_initial_number03259[] = {1, 3, 5, 11, 21, 31, 13, 251, 127, 231, 1795, 2627, 1191, 3363, 23543, 0};
static int joe_kuo_d6_initial_number03260[] = {1, 1, 3, 5, 7, 49, 121, 57, 131, 481, 1879, 525, 5225, 337, 1957, 0};
static int joe_kuo_d6_initial_number03261[] = {1, 1, 5, 13, 9, 55, 27, 37, 211, 125, 119, 3373, 251, 12357, 13975, 0};
static int joe_kuo_d6_initial_number03262[] = {1, 3, 3, 15, 1, 51, 91, 119, 233, 993, 203, 1635, 1167, 6327, 29119, 0};
static int joe_kuo_d6_initial_number03263[] = {1, 1, 7, 1, 13, 5, 23, 253, 121, 989, 1105, 3321, 3221, 6073, 21185, 0};
static int joe_kuo_d6_initial_number03264[] = {1, 1, 3, 15, 13, 49, 121, 247, 247, 133, 485, 1067, 7875, 411, 7647, 0};
static int joe_kuo_d6_initial_number03265[] = {1, 3, 7, 13, 31, 37, 127, 241, 145, 133, 53, 267, 2029, 3703, 16123, 0};
static int joe_kuo_d6_initial_number03266[] = {1, 3, 1, 15, 15, 9, 15, 89, 35, 367, 401, 61, 1953, 7873, 17861, 0};
static int joe_kuo_d6_initial_number03267[] = {1, 1, 1, 1, 1, 41, 71, 249, 213, 779, 1385, 1767, 999, 15151, 16647, 0};
static int joe_kuo_d6_initial_number03268[] = {1, 3, 7, 13, 31, 23, 123, 235, 343, 949, 309, 3777, 3587, 853, 19779, 0};
static int joe_kuo_d6_initial_number03269[] = {1, 1, 3, 13, 29, 35, 5, 37, 63, 757, 303, 1579, 3443, 243, 11873, 0};
static int joe_kuo_d6_initial_number03270[] = {1, 3, 1, 9, 19, 49, 81, 53, 11, 901, 1857, 147, 3103, 14019, 21, 0};
static int joe_kuo_d6_initial_number03271[] = {1, 3, 7, 13, 3, 39, 99, 99, 45, 91, 1567, 551, 3129, 4809, 29057, 0};
static int joe_kuo_d6_initial_number03272[] = {1, 3, 7, 3, 3, 27, 17, 231, 377, 381, 1479, 2525, 2595, 2799, 25737, 0};
static int joe_kuo_d6_initial_number03273[] = {1, 3, 5, 15, 15, 25, 103, 215, 301, 59, 1417, 981, 7579, 12731, 22329, 0};
static int joe_kuo_d6_initial_number03274[] = {1, 1, 1, 13, 5, 31, 61, 31, 349, 925, 1301, 685, 435, 11567, 10715, 0};
static int joe_kuo_d6_initial_number03275[] = {1, 1, 7, 9, 19, 57, 109, 1, 37, 377, 1015, 2273, 6741, 3191, 15949, 0};
static int joe_kuo_d6_initial_number03276[] = {1, 3, 3, 13, 3, 23, 103, 127, 11, 59, 1847, 1175, 425, 3423, 20643, 0};
static int joe_kuo_d6_initial_number03277[] = {1, 3, 3, 7, 3, 11, 105, 141, 55, 217, 1427, 477, 667, 9403, 11905, 0};
static int joe_kuo_d6_initial_number03278[] = {1, 3, 3, 5, 3, 27, 11, 187, 495, 907, 1925, 445, 6639, 8159, 15225, 0};
static int joe_kuo_d6_initial_number03279[] = {1, 3, 1, 5, 27, 31, 77, 213, 73, 343, 1123, 3609, 2431, 15329, 32165, 0};
static int joe_kuo_d6_initial_number03280[] = {1, 1, 7, 5, 1, 11, 105, 139, 485, 1007, 709, 3509, 5231, 11717, 31433, 0};
static int joe_kuo_d6_initial_number03281[] = {1, 1, 3, 15, 23, 49, 95, 169, 399, 1019, 19, 2013, 5311, 7951, 22609, 0};
static int joe_kuo_d6_initial_number03282[] = {1, 3, 1, 7, 13, 3, 29, 203, 209, 701, 1791, 2615, 5351, 4237, 12565, 0};
static int joe_kuo_d6_initial_number03283[] = {1, 3, 1, 15, 27, 11, 91, 31, 205, 205, 1683, 901, 5129, 6049, 11865, 0};
static int joe_kuo_d6_initial_number03284[] = {1, 1, 7, 7, 27, 59, 21, 3, 209, 79, 769, 4013, 2041, 2645, 11561, 0};
static int joe_kuo_d6_initial_number03285[] = {1, 3, 7, 11, 5, 45, 39, 243, 185, 871, 795, 1845, 8043, 6285, 20991, 0};
static int joe_kuo_d6_initial_number03286[] = {1, 1, 5, 7, 13, 7, 15, 165, 349, 179, 789, 1269, 3787, 5429, 26567, 0};
static int joe_kuo_d6_initial_number03287[] = {1, 3, 3, 13, 31, 23, 75, 41, 177, 735, 1889, 4039, 3519, 15003, 965, 0};
static int joe_kuo_d6_initial_number03288[] = {1, 3, 1, 7, 15, 57, 15, 139, 27, 469, 1003, 691, 7893, 9643, 30983, 0};
static int joe_kuo_d6_initial_number03289[] = {1, 3, 1, 13, 23, 27, 3, 237, 233, 875, 99, 883, 6167, 5463, 6245, 0};
static int joe_kuo_d6_initial_number03290[] = {1, 1, 5, 13, 25, 57, 79, 51, 147, 619, 1147, 279, 6583, 1939, 477, 0};
static int joe_kuo_d6_initial_number03291[] = {1, 3, 5, 5, 31, 61, 125, 163, 213, 699, 583, 3865, 615, 9707, 11651, 0};
static int joe_kuo_d6_initial_number03292[] = {1, 1, 5, 1, 5, 21, 93, 239, 31, 641, 777, 27, 5247, 8993, 21053, 0};
static int joe_kuo_d6_initial_number03293[] = {1, 3, 7, 9, 1, 13, 61, 57, 503, 453, 83, 3271, 2845, 1121, 18639, 0};
static int joe_kuo_d6_initial_number03294[] = {1, 1, 7, 5, 29, 53, 13, 219, 379, 441, 821, 3179, 4877, 2535, 7557, 0};
static int joe_kuo_d6_initial_number03295[] = {1, 1, 7, 13, 9, 53, 17, 183, 265, 393, 587, 2753, 6453, 7135, 24737, 0};
static int joe_kuo_d6_initial_number03296[] = {1, 1, 1, 13, 11, 23, 73, 109, 393, 1013, 559, 755, 7291, 6631, 26509, 0};
static int joe_kuo_d6_initial_number03297[] = {1, 3, 1, 5, 5, 15, 107, 103, 355, 307, 1559, 837, 5413, 5285, 17489, 0};
static int joe_kuo_d6_initial_number03298[] = {1, 1, 5, 7, 17, 21, 21, 23, 109, 709, 1947, 3585, 3629, 4669, 949, 0};
static int joe_kuo_d6_initial_number03299[] = {1, 3, 7, 1, 9, 33, 85, 147, 467, 259, 1913, 199, 7399, 9551, 22387, 0};
static int joe_kuo_d6_initial_number03300[] = {1, 3, 5, 11, 15, 53, 23, 41, 249, 515, 1161, 2467, 1299, 7449, 2613, 0};
static int joe_kuo_d6_initial_number03301[] = {1, 1, 5, 5, 5, 29, 91, 139, 487, 545, 321, 3035, 4545, 6747, 21673, 0};
static int joe_kuo_d6_initial_number03302[] = {1, 1, 3, 13, 23, 49, 95, 103, 25, 119, 469, 2515, 2551, 841, 25089, 0};
static int joe_kuo_d6_initial_number03303[] = {1, 1, 5, 7, 11, 31, 31, 197, 245, 715, 257, 4043, 8099, 11531, 5617, 0};
static int joe_kuo_d6_initial_number03304[] = {1, 1, 3, 3, 19, 7, 9, 179, 103, 995, 191, 179, 3843, 5215, 27639, 0};
static int joe_kuo_d6_initial_number03305[] = {1, 3, 1, 7, 23, 59, 25, 65, 399, 211, 1453, 3511, 7203, 16015, 32197, 0};
static int joe_kuo_d6_initial_number03306[] = {1, 3, 3, 5, 9, 35, 109, 67, 197, 449, 643, 519, 5751, 15551, 11331, 0};
static int joe_kuo_d6_initial_number03307[] = {1, 3, 5, 3, 1, 17, 53, 201, 265, 351, 467, 911, 1117, 7183, 20371, 0};
static int joe_kuo_d6_initial_number03308[] = {1, 1, 7, 7, 27, 17, 93, 81, 227, 619, 1191, 735, 815, 12615, 2719, 0};
static int joe_kuo_d6_initial_number03309[] = {1, 3, 1, 15, 19, 3, 83, 75, 343, 297, 1019, 3469, 4383, 13299, 29755, 0};
static int joe_kuo_d6_initial_number03310[] = {1, 1, 5, 3, 13, 55, 119, 169, 85, 595, 299, 2469, 5625, 2877, 16117, 0};
static int joe_kuo_d6_initial_number03311[] = {1, 1, 3, 5, 15, 17, 61, 161, 47, 393, 143, 867, 5517, 9495, 12795, 0};
static int joe_kuo_d6_initial_number03312[] = {1, 3, 5, 1, 27, 31, 113, 125, 251, 687, 969, 1473, 2245, 6355, 13655, 0};
static int joe_kuo_d6_initial_number03313[] = {1, 1, 1, 5, 5, 37, 29, 133, 443, 899, 277, 2353, 7223, 4459, 19159, 0};
static int joe_kuo_d6_initial_number03314[] = {1, 1, 3, 9, 19, 27, 53, 145, 195, 167, 2045, 447, 1803, 1895, 8431, 0};
static int joe_kuo_d6_initial_number03315[] = {1, 1, 3, 9, 5, 27, 91, 147, 233, 451, 475, 27, 4629, 16181, 16437, 0};
static int joe_kuo_d6_initial_number03316[] = {1, 3, 5, 3, 29, 17, 53, 167, 433, 689, 1131, 2985, 1553, 11697, 6993, 0};
static int joe_kuo_d6_initial_number03317[] = {1, 3, 3, 13, 21, 43, 69, 229, 399, 525, 179, 237, 7017, 5703, 17653, 0};
static int joe_kuo_d6_initial_number03318[] = {1, 1, 3, 15, 13, 39, 75, 163, 229, 875, 197, 477, 3667, 15501, 15801, 0};
static int joe_kuo_d6_initial_number03319[] = {1, 1, 7, 15, 15, 51, 81, 187, 487, 673, 865, 1915, 1009, 5935, 8097, 0};
static int joe_kuo_d6_initial_number03320[] = {1, 3, 5, 5, 7, 3, 63, 77, 495, 815, 391, 2321, 1007, 15661, 30715, 0};
static int joe_kuo_d6_initial_number03321[] = {1, 1, 7, 3, 17, 25, 83, 173, 173, 911, 1373, 2957, 4549, 15977, 17695, 0};
static int joe_kuo_d6_initial_number03322[] = {1, 1, 7, 13, 13, 23, 77, 147, 497, 1003, 1687, 1795, 1393, 1881, 8479, 0};
static int joe_kuo_d6_initial_number03323[] = {1, 3, 7, 11, 27, 43, 97, 25, 61, 457, 203, 2573, 5943, 15021, 4003, 0};
static int joe_kuo_d6_initial_number03324[] = {1, 3, 3, 13, 9, 37, 37, 25, 219, 889, 1535, 2791, 4531, 13679, 12663, 0};
static int joe_kuo_d6_initial_number03325[] = {1, 1, 3, 1, 17, 7, 51, 123, 89, 887, 1467, 1645, 3767, 6383, 30837, 0};
static int joe_kuo_d6_initial_number03326[] = {1, 3, 3, 1, 21, 47, 5, 151, 83, 257, 569, 2711, 637, 12569, 16893, 0};
static int joe_kuo_d6_initial_number03327[] = {1, 3, 7, 1, 31, 37, 73, 3, 115, 919, 1817, 2483, 4811, 15245, 4375, 0};
static int joe_kuo_d6_initial_number03328[] = {1, 1, 1, 5, 1, 39, 39, 231, 9, 733, 455, 3383, 4777, 7235, 12631, 0};
static int joe_kuo_d6_initial_number03329[] = {1, 1, 7, 9, 13, 25, 55, 25, 73, 59, 1699, 929, 755, 1279, 5583, 0};
static int joe_kuo_d6_initial_number03330[] = {1, 3, 5, 3, 9, 49, 79, 55, 479, 179, 1159, 4079, 3503, 11603, 12361, 0};
static int joe_kuo_d6_initial_number03331[] = {1, 1, 5, 9, 21, 45, 31, 163, 377, 817, 219, 147, 2581, 12769, 30783, 0};
static int joe_kuo_d6_initial_number03332[] = {1, 3, 1, 7, 15, 27, 39, 189, 493, 259, 1663, 1213, 961, 11089, 16079, 0};
static int joe_kuo_d6_initial_number03333[] = {1, 1, 5, 9, 5, 41, 13, 153, 313, 337, 1027, 1267, 4249, 13071, 27043, 0};
static int joe_kuo_d6_initial_number03334[] = {1, 3, 7, 3, 13, 11, 23, 255, 51, 527, 317, 3217, 5037, 12723, 17411, 0};
static int joe_kuo_d6_initial_number03335[] = {1, 1, 5, 1, 25, 57, 83, 97, 233, 513, 1283, 2675, 4111, 4111, 32141, 0};
static int joe_kuo_d6_initial_number03336[] = {1, 3, 3, 15, 25, 33, 103, 81, 155, 189, 139, 1179, 2691, 15119, 13959, 0};
static int joe_kuo_d6_initial_number03337[] = {1, 3, 3, 1, 25, 55, 67, 19, 19, 9, 437, 579, 4273, 10733, 7125, 0};
static int joe_kuo_d6_initial_number03338[] = {1, 1, 1, 7, 23, 41, 47, 5, 435, 749, 595, 199, 3941, 7199, 4795, 0};
static int joe_kuo_d6_initial_number03339[] = {1, 3, 1, 15, 5, 49, 35, 9, 199, 703, 1769, 3269, 5689, 13063, 22771, 0};
static int joe_kuo_d6_initial_number03340[] = {1, 1, 5, 5, 21, 55, 125, 55, 63, 149, 1167, 3577, 1051, 3921, 20545, 0};
static int joe_kuo_d6_initial_number03341[] = {1, 3, 7, 13, 29, 53, 107, 193, 163, 339, 1335, 1573, 5809, 5681, 29487, 0};
static int joe_kuo_d6_initial_number03342[] = {1, 1, 1, 9, 17, 9, 91, 177, 211, 453, 1807, 1881, 6051, 225, 6021, 0};
static int joe_kuo_d6_initial_number03343[] = {1, 1, 1, 13, 15, 1, 29, 43, 181, 105, 1945, 2313, 6429, 2901, 6221, 0};
static int joe_kuo_d6_initial_number03344[] = {1, 3, 5, 11, 29, 55, 115, 115, 187, 1013, 697, 1885, 121, 12387, 32443, 0};
static int joe_kuo_d6_initial_number03345[] = {1, 1, 1, 7, 19, 51, 21, 107, 55, 125, 1655, 2281, 3293, 15749, 27521, 0};
static int joe_kuo_d6_initial_number03346[] = {1, 1, 7, 9, 19, 9, 81, 93, 139, 401, 193, 73, 5159, 9323, 6019, 0};
static int joe_kuo_d6_initial_number03347[] = {1, 1, 7, 9, 15, 51, 115, 69, 247, 599, 1163, 2251, 1211, 8827, 15581, 0};
static int joe_kuo_d6_initial_number03348[] = {1, 1, 7, 9, 5, 39, 75, 185, 321, 911, 849, 843, 6791, 10407, 10513, 0};
static int joe_kuo_d6_initial_number03349[] = {1, 1, 5, 5, 15, 9, 21, 47, 459, 681, 2001, 1545, 5939, 7073, 29043, 0};
static int joe_kuo_d6_initial_number03350[] = {1, 3, 1, 11, 13, 25, 53, 97, 487, 797, 567, 3757, 5597, 6313, 18531, 0};
static int joe_kuo_d6_initial_number03351[] = {1, 1, 3, 3, 29, 55, 11, 219, 325, 591, 2015, 383, 2595, 11855, 22501, 0};
static int joe_kuo_d6_initial_number03352[] = {1, 1, 1, 5, 15, 57, 33, 125, 323, 749, 1843, 4019, 2075, 6673, 6957, 0};
static int joe_kuo_d6_initial_number03353[] = {1, 1, 5, 7, 19, 7, 47, 239, 51, 107, 1081, 467, 5493, 7617, 10355, 0};
static int joe_kuo_d6_initial_number03354[] = {1, 3, 1, 1, 11, 3, 67, 199, 175, 421, 935, 309, 4449, 6363, 9183, 0};
static int joe_kuo_d6_initial_number03355[] = {1, 1, 1, 7, 9, 33, 3, 219, 481, 513, 417, 1267, 2863, 765, 18431, 0};
static int joe_kuo_d6_initial_number03356[] = {1, 3, 1, 1, 19, 1, 89, 109, 415, 105, 487, 3241, 7465, 9233, 16307, 0};
static int joe_kuo_d6_initial_number03357[] = {1, 1, 3, 13, 9, 43, 25, 231, 383, 789, 1855, 691, 3465, 2387, 11715, 0};
static int joe_kuo_d6_initial_number03358[] = {1, 3, 3, 3, 13, 39, 63, 107, 33, 265, 437, 117, 3179, 5543, 28179, 0};
static int joe_kuo_d6_initial_number03359[] = {1, 3, 3, 13, 21, 5, 31, 111, 321, 425, 253, 3501, 3209, 15429, 18383, 0};
static int joe_kuo_d6_initial_number03360[] = {1, 3, 5, 9, 1, 27, 117, 187, 433, 459, 1999, 1069, 4857, 8591, 26343, 0};
static int joe_kuo_d6_initial_number03361[] = {1, 1, 7, 3, 15, 43, 11, 193, 391, 341, 1203, 1259, 7265, 1783, 13161, 0};
static int joe_kuo_d6_initial_number03362[] = {1, 1, 7, 1, 5, 15, 45, 143, 193, 985, 1105, 3483, 2421, 9687, 22347, 0};
static int joe_kuo_d6_initial_number03363[] = {1, 3, 7, 13, 21, 17, 79, 231, 487, 663, 1101, 1025, 5779, 14681, 29181, 0};
static int joe_kuo_d6_initial_number03364[] = {1, 1, 3, 9, 15, 19, 55, 219, 27, 963, 1513, 1017, 3907, 12279, 32655, 0};
static int joe_kuo_d6_initial_number03365[] = {1, 3, 7, 3, 31, 27, 17, 1, 51, 861, 529, 1225, 6395, 15787, 5231, 0};
static int joe_kuo_d6_initial_number03366[] = {1, 3, 3, 11, 27, 7, 101, 143, 21, 191, 1437, 2393, 4097, 14319, 6977, 0};
static int joe_kuo_d6_initial_number03367[] = {1, 3, 3, 3, 25, 35, 105, 141, 433, 269, 1469, 2939, 5387, 7373, 7863, 0};
static int joe_kuo_d6_initial_number03368[] = {1, 3, 7, 5, 5, 21, 23, 11, 217, 357, 1847, 101, 1161, 5297, 14879, 0};
static int joe_kuo_d6_initial_number03369[] = {1, 3, 1, 3, 25, 23, 81, 217, 505, 161, 1667, 1343, 1751, 2463, 26431, 0};
static int joe_kuo_d6_initial_number03370[] = {1, 1, 3, 1, 17, 51, 125, 205, 385, 351, 731, 2911, 2749, 2689, 27031, 0};
static int joe_kuo_d6_initial_number03371[] = {1, 1, 5, 5, 5, 17, 31, 171, 477, 671, 167, 1797, 8047, 10123, 4325, 0};
static int joe_kuo_d6_initial_number03372[] = {1, 1, 7, 1, 11, 23, 123, 161, 99, 1007, 765, 1965, 5395, 16193, 17751, 0};
static int joe_kuo_d6_initial_number03373[] = {1, 3, 1, 9, 13, 11, 111, 217, 31, 753, 377, 2267, 7893, 7195, 24999, 0};
static int joe_kuo_d6_initial_number03374[] = {1, 3, 1, 9, 21, 53, 127, 121, 151, 395, 1447, 1411, 5179, 12043, 27607, 0};
static int joe_kuo_d6_initial_number03375[] = {1, 1, 5, 3, 11, 37, 97, 139, 113, 835, 229, 3741, 827, 5527, 5779, 0};
static int joe_kuo_d6_initial_number03376[] = {1, 1, 7, 7, 27, 55, 11, 55, 429, 269, 1179, 233, 1053, 10225, 16703, 0};
static int joe_kuo_d6_initial_number03377[] = {1, 1, 1, 3, 15, 9, 67, 119, 95, 753, 511, 2507, 3953, 6403, 27635, 0};
static int joe_kuo_d6_initial_number03378[] = {1, 3, 3, 7, 27, 57, 25, 27, 249, 515, 193, 4043, 2017, 751, 10949, 0};
static int joe_kuo_d6_initial_number03379[] = {1, 3, 1, 9, 31, 57, 67, 21, 177, 573, 1835, 2015, 6201, 2383, 31087, 0};
static int joe_kuo_d6_initial_number03380[] = {1, 1, 5, 1, 19, 3, 89, 243, 69, 387, 1905, 3465, 2775, 7713, 30081, 0};
static int joe_kuo_d6_initial_number03381[] = {1, 1, 3, 3, 9, 59, 15, 89, 85, 605, 881, 263, 2551, 797, 16541, 0};
static int joe_kuo_d6_initial_number03382[] = {1, 3, 7, 11, 25, 41, 59, 139, 405, 571, 1147, 2963, 4175, 12901, 6309, 0};
static int joe_kuo_d6_initial_number03383[] = {1, 3, 1, 5, 29, 29, 11, 243, 183, 281, 807, 1, 7079, 10079, 13865, 0};
static int joe_kuo_d6_initial_number03384[] = {1, 3, 7, 5, 5, 1, 89, 55, 423, 157, 675, 1849, 241, 6467, 15459, 0};
static int joe_kuo_d6_initial_number03385[] = {1, 1, 7, 11, 15, 63, 89, 109, 501, 549, 317, 3043, 1151, 3895, 19851, 0};
static int joe_kuo_d6_initial_number03386[] = {1, 3, 1, 15, 7, 23, 97, 97, 225, 737, 1117, 3325, 209, 14169, 10813, 0};
static int joe_kuo_d6_initial_number03387[] = {1, 3, 7, 13, 13, 39, 91, 153, 395, 879, 1041, 3753, 5577, 1985, 25247, 0};
static int joe_kuo_d6_initial_number03388[] = {1, 1, 1, 3, 17, 15, 113, 143, 101, 901, 1119, 1819, 3577, 3441, 31511, 0};
static int joe_kuo_d6_initial_number03389[] = {1, 3, 1, 11, 15, 27, 21, 37, 287, 121, 451, 1353, 2173, 299, 18791, 0};
static int joe_kuo_d6_initial_number03390[] = {1, 3, 3, 5, 23, 1, 49, 145, 315, 769, 99, 1385, 5961, 9121, 1465, 0};
static int joe_kuo_d6_initial_number03391[] = {1, 3, 3, 13, 21, 39, 39, 233, 271, 113, 615, 2257, 3765, 5921, 313, 0};
static int joe_kuo_d6_initial_number03392[] = {1, 3, 7, 7, 25, 45, 11, 237, 83, 203, 929, 1819, 2679, 11583, 30091, 0};
static int joe_kuo_d6_initial_number03393[] = {1, 1, 1, 7, 21, 63, 85, 251, 133, 991, 1515, 2547, 6051, 7279, 3569, 0};
static int joe_kuo_d6_initial_number03394[] = {1, 3, 7, 15, 11, 19, 87, 17, 313, 283, 1021, 2743, 4855, 13741, 17955, 0};
static int joe_kuo_d6_initial_number03395[] = {1, 1, 7, 13, 29, 13, 61, 93, 81, 91, 995, 907, 4847, 2599, 20041, 0};
static int joe_kuo_d6_initial_number03396[] = {1, 1, 3, 11, 13, 45, 103, 33, 243, 109, 2029, 121, 231, 16179, 13741, 0};
static int joe_kuo_d6_initial_number03397[] = {1, 3, 5, 9, 9, 5, 73, 225, 199, 723, 611, 1909, 2345, 10257, 9909, 0};
static int joe_kuo_d6_initial_number03398[] = {1, 1, 3, 11, 7, 5, 33, 89, 431, 899, 803, 3173, 6131, 16097, 20561, 0};
static int joe_kuo_d6_initial_number03399[] = {1, 3, 3, 7, 7, 47, 23, 47, 411, 69, 239, 661, 5591, 10457, 24245, 0};
static int joe_kuo_d6_initial_number03400[] = {1, 1, 5, 15, 25, 35, 87, 23, 115, 939, 1579, 119, 4001, 13791, 9729, 0};
static int joe_kuo_d6_initial_number03401[] = {1, 3, 5, 11, 25, 45, 29, 195, 369, 237, 735, 155, 123, 4415, 32255, 0};
static int joe_kuo_d6_initial_number03402[] = {1, 3, 3, 9, 13, 53, 15, 77, 313, 75, 529, 925, 5679, 14585, 19889, 0};
static int joe_kuo_d6_initial_number03403[] = {1, 1, 7, 15, 15, 27, 105, 13, 31, 669, 563, 1809, 4321, 7797, 4177, 0};
static int joe_kuo_d6_initial_number03404[] = {1, 1, 5, 9, 3, 29, 111, 177, 33, 235, 1951, 1561, 141, 4803, 16327, 0};
static int joe_kuo_d6_initial_number03405[] = {1, 1, 1, 7, 9, 41, 1, 149, 95, 933, 115, 1619, 771, 8189, 8781, 0};
static int joe_kuo_d6_initial_number03406[] = {1, 1, 5, 3, 13, 41, 33, 159, 355, 159, 1243, 1439, 6571, 14397, 31321, 0};
static int joe_kuo_d6_initial_number03407[] = {1, 1, 7, 11, 9, 15, 91, 145, 457, 255, 1449, 611, 1449, 2521, 28949, 0};
static int joe_kuo_d6_initial_number03408[] = {1, 3, 7, 5, 27, 57, 35, 99, 447, 287, 743, 1163, 4379, 7361, 3831, 0};
static int joe_kuo_d6_initial_number03409[] = {1, 3, 3, 7, 15, 53, 41, 83, 133, 571, 1739, 531, 2921, 11527, 21941, 0};
static int joe_kuo_d6_initial_number03410[] = {1, 1, 1, 13, 9, 27, 39, 113, 429, 447, 595, 3171, 5245, 4095, 14847, 0};
static int joe_kuo_d6_initial_number03411[] = {1, 1, 3, 7, 19, 19, 21, 101, 489, 1011, 265, 3899, 3225, 11701, 5193, 0};
static int joe_kuo_d6_initial_number03412[] = {1, 3, 7, 3, 15, 25, 103, 213, 441, 215, 1483, 263, 3561, 7915, 7969, 0};
static int joe_kuo_d6_initial_number03413[] = {1, 3, 3, 3, 11, 47, 97, 29, 489, 867, 1347, 2155, 4871, 8001, 18305, 0};
static int joe_kuo_d6_initial_number03414[] = {1, 3, 1, 9, 25, 15, 61, 17, 343, 775, 1765, 3803, 4577, 8437, 12605, 0};
static int joe_kuo_d6_initial_number03415[] = {1, 1, 5, 3, 11, 39, 69, 23, 23, 65, 1967, 2429, 1703, 6671, 14981, 0};
static int joe_kuo_d6_initial_number03416[] = {1, 1, 5, 15, 23, 59, 125, 51, 225, 439, 2019, 2589, 7781, 13111, 2911, 0};
static int joe_kuo_d6_initial_number03417[] = {1, 1, 1, 3, 1, 31, 37, 245, 203, 305, 821, 367, 5211, 9791, 21777, 0};
static int joe_kuo_d6_initial_number03418[] = {1, 1, 5, 9, 9, 31, 97, 25, 271, 83, 343, 2461, 1805, 14383, 10059, 0};
static int joe_kuo_d6_initial_number03419[] = {1, 1, 5, 13, 15, 33, 127, 109, 137, 963, 961, 1647, 7881, 8133, 22359, 0};
static int joe_kuo_d6_initial_number03420[] = {1, 1, 3, 7, 25, 31, 123, 241, 283, 1, 1781, 23, 971, 6485, 127, 0};
static int joe_kuo_d6_initial_number03421[] = {1, 1, 5, 15, 15, 27, 25, 145, 395, 679, 979, 571, 1585, 14787, 7465, 0};
static int joe_kuo_d6_initial_number03422[] = {1, 1, 5, 7, 13, 11, 7, 131, 511, 597, 379, 1513, 6267, 16039, 1503, 0};
static int joe_kuo_d6_initial_number03423[] = {1, 1, 1, 13, 15, 49, 73, 217, 353, 577, 1913, 1127, 961, 11557, 24993, 0};
static int joe_kuo_d6_initial_number03424[] = {1, 3, 3, 9, 7, 3, 105, 141, 377, 687, 1917, 485, 983, 11149, 23303, 0};
static int joe_kuo_d6_initial_number03425[] = {1, 1, 3, 15, 11, 7, 117, 179, 505, 67, 1817, 913, 5757, 1981, 1637, 0};
static int joe_kuo_d6_initial_number03426[] = {1, 1, 1, 7, 5, 29, 3, 43, 223, 295, 1895, 3425, 5355, 5155, 17197, 0};
static int joe_kuo_d6_initial_number03427[] = {1, 1, 7, 9, 21, 59, 121, 245, 73, 233, 1527, 869, 4145, 7995, 6473, 0};
static int joe_kuo_d6_initial_number03428[] = {1, 1, 5, 13, 17, 21, 89, 179, 495, 669, 453, 2603, 5969, 6161, 4743, 0};
static int joe_kuo_d6_initial_number03429[] = {1, 1, 7, 11, 25, 21, 103, 131, 391, 249, 1633, 2603, 2207, 8987, 15487, 0};
static int joe_kuo_d6_initial_number03430[] = {1, 3, 7, 9, 13, 45, 99, 251, 115, 597, 1505, 2421, 1231, 10015, 24295, 0};
static int joe_kuo_d6_initial_number03431[] = {1, 1, 5, 5, 31, 49, 17, 67, 463, 813, 1491, 3309, 7881, 8109, 7289, 0};
static int joe_kuo_d6_initial_number03432[] = {1, 3, 1, 15, 23, 35, 123, 21, 169, 499, 95, 603, 1829, 7865, 26313, 0};
static int joe_kuo_d6_initial_number03433[] = {1, 1, 7, 1, 9, 29, 45, 65, 95, 97, 673, 3673, 2969, 2317, 22209, 0};
static int joe_kuo_d6_initial_number03434[] = {1, 1, 3, 7, 29, 33, 121, 17, 331, 487, 1901, 1951, 5383, 9375, 4029, 0};
static int joe_kuo_d6_initial_number03435[] = {1, 3, 7, 9, 25, 43, 91, 147, 141, 401, 1647, 2697, 4645, 7179, 31857, 0};
static int joe_kuo_d6_initial_number03436[] = {1, 3, 5, 11, 9, 31, 127, 105, 39, 883, 1635, 919, 5069, 2875, 24519, 0};
static int joe_kuo_d6_initial_number03437[] = {1, 1, 5, 9, 1, 63, 73, 135, 95, 503, 385, 3903, 545, 12635, 27569, 0};
static int joe_kuo_d6_initial_number03438[] = {1, 1, 3, 11, 27, 31, 47, 173, 55, 339, 1255, 1947, 793, 14133, 13963, 0};
static int joe_kuo_d6_initial_number03439[] = {1, 1, 3, 15, 17, 33, 113, 249, 401, 743, 1307, 3123, 627, 1253, 13285, 0};
static int joe_kuo_d6_initial_number03440[] = {1, 1, 3, 1, 9, 7, 39, 65, 281, 107, 833, 193, 2987, 12267, 31335, 0};
static int joe_kuo_d6_initial_number03441[] = {1, 1, 7, 3, 15, 21, 99, 211, 39, 179, 587, 1169, 6455, 8225, 2049, 0};
static int joe_kuo_d6_initial_number03442[] = {1, 3, 5, 13, 5, 13, 123, 1, 223, 273, 731, 2967, 4793, 4229, 26031, 0};
static int joe_kuo_d6_initial_number03443[] = {1, 1, 1, 1, 3, 17, 7, 23, 225, 757, 743, 1257, 2047, 12509, 25467, 0};
static int joe_kuo_d6_initial_number03444[] = {1, 1, 7, 15, 29, 3, 15, 113, 227, 675, 1295, 2777, 2921, 5485, 2577, 0};
static int joe_kuo_d6_initial_number03445[] = {1, 3, 7, 13, 19, 21, 85, 129, 45, 599, 317, 1513, 4953, 10383, 25253, 0};
static int joe_kuo_d6_initial_number03446[] = {1, 1, 7, 11, 13, 47, 127, 67, 219, 131, 905, 2005, 851, 15243, 5777, 0};
static int joe_kuo_d6_initial_number03447[] = {1, 1, 5, 3, 23, 57, 57, 189, 153, 37, 955, 2049, 1295, 15119, 27213, 0};
static int joe_kuo_d6_initial_number03448[] = {1, 3, 7, 11, 13, 61, 3, 241, 269, 789, 1595, 2369, 4843, 11347, 21543, 0};
static int joe_kuo_d6_initial_number03449[] = {1, 1, 5, 5, 25, 21, 19, 237, 3, 605, 1343, 3965, 3511, 7889, 27759, 0};
static int joe_kuo_d6_initial_number03450[] = {1, 3, 1, 15, 21, 15, 123, 5, 345, 945, 283, 1313, 335, 2085, 19505, 0};
static int joe_kuo_d6_initial_number03451[] = {1, 1, 3, 3, 5, 21, 123, 89, 67, 11, 1247, 1155, 287, 13455, 5693, 0};
static int joe_kuo_d6_initial_number03452[] = {1, 3, 3, 13, 1, 53, 101, 27, 387, 379, 19, 751, 2445, 11737, 975, 0};
static int joe_kuo_d6_initial_number03453[] = {1, 3, 3, 3, 9, 29, 81, 117, 443, 145, 1619, 1813, 8125, 5829, 28617, 0};
static int joe_kuo_d6_initial_number03454[] = {1, 1, 5, 15, 27, 15, 83, 83, 61, 715, 1655, 1631, 3457, 2727, 2163, 0};
static int joe_kuo_d6_initial_number03455[] = {1, 3, 1, 5, 11, 11, 121, 7, 135, 883, 927, 1817, 6839, 12361, 24119, 0};
static int joe_kuo_d6_initial_number03456[] = {1, 3, 7, 11, 23, 59, 39, 165, 109, 355, 1303, 381, 5697, 275, 3771, 0};
static int joe_kuo_d6_initial_number03457[] = {1, 3, 5, 11, 11, 5, 81, 157, 55, 435, 613, 127, 4087, 3791, 21627, 0};
static int joe_kuo_d6_initial_number03458[] = {1, 3, 7, 15, 13, 37, 83, 195, 207, 771, 51, 3685, 6389, 1229, 11101, 0};
static int joe_kuo_d6_initial_number03459[] = {1, 3, 7, 13, 31, 3, 9, 13, 487, 95, 77, 809, 5809, 12887, 29933, 0};
static int joe_kuo_d6_initial_number03460[] = {1, 1, 3, 7, 25, 9, 13, 29, 353, 659, 1785, 3825, 3729, 13109, 12973, 0};
static int joe_kuo_d6_initial_number03461[] = {1, 1, 1, 5, 21, 3, 97, 1, 245, 917, 29, 1429, 8141, 7569, 32493, 0};
static int joe_kuo_d6_initial_number03462[] = {1, 3, 1, 9, 19, 13, 13, 109, 377, 1007, 1737, 1939, 1419, 1145, 5065, 0};
static int joe_kuo_d6_initial_number03463[] = {1, 1, 7, 9, 27, 57, 53, 69, 423, 43, 1629, 1003, 1473, 10809, 5659, 0};
static int joe_kuo_d6_initial_number03464[] = {1, 1, 1, 9, 1, 45, 11, 231, 351, 155, 663, 2783, 3491, 5725, 25207, 0};
static int joe_kuo_d6_initial_number03465[] = {1, 1, 1, 3, 15, 25, 77, 89, 231, 813, 657, 2603, 4885, 1383, 14499, 0};
static int joe_kuo_d6_initial_number03466[] = {1, 3, 5, 5, 9, 21, 101, 181, 449, 491, 737, 803, 659, 11771, 545, 0};
static int joe_kuo_d6_initial_number03467[] = {1, 3, 7, 9, 7, 19, 27, 199, 265, 329, 1031, 1235, 3191, 10071, 16281, 0};
static int joe_kuo_d6_initial_number03468[] = {1, 1, 7, 11, 27, 55, 3, 127, 503, 1003, 1041, 1953, 5835, 4851, 13485, 0};
static int joe_kuo_d6_initial_number03469[] = {1, 1, 7, 15, 5, 45, 97, 61, 221, 497, 1949, 3163, 4707, 8441, 1437, 0};
static int joe_kuo_d6_initial_number03470[] = {1, 3, 5, 1, 3, 35, 107, 9, 473, 971, 227, 2225, 3999, 3095, 18879, 0};
static int joe_kuo_d6_initial_number03471[] = {1, 1, 1, 9, 21, 59, 21, 1, 41, 435, 575, 491, 1839, 1095, 9727, 0};
static int joe_kuo_d6_initial_number03472[] = {1, 3, 5, 9, 13, 29, 123, 251, 465, 701, 1105, 829, 573, 11503, 11861, 0};
static int joe_kuo_d6_initial_number03473[] = {1, 3, 3, 13, 27, 59, 29, 111, 225, 973, 561, 1481, 835, 9261, 13831, 0};
static int joe_kuo_d6_initial_number03474[] = {1, 1, 1, 7, 17, 3, 97, 211, 333, 315, 571, 3523, 7305, 6461, 20139, 0};
static int joe_kuo_d6_initial_number03475[] = {1, 3, 7, 11, 31, 21, 105, 247, 113, 863, 1767, 381, 4623, 8935, 7911, 0};
static int joe_kuo_d6_initial_number03476[] = {1, 1, 5, 7, 29, 45, 17, 155, 69, 17, 655, 1983, 6385, 6177, 7961, 0};
static int joe_kuo_d6_initial_number03477[] = {1, 3, 3, 15, 31, 15, 63, 81, 309, 115, 393, 3445, 689, 13963, 18887, 0};
static int joe_kuo_d6_initial_number03478[] = {1, 1, 5, 1, 19, 39, 127, 61, 357, 53, 195, 2745, 7853, 5753, 3669, 0};
static int joe_kuo_d6_initial_number03479[] = {1, 3, 7, 7, 17, 51, 57, 145, 451, 365, 1517, 909, 4265, 10737, 9579, 0};
static int joe_kuo_d6_initial_number03480[] = {1, 1, 3, 13, 3, 37, 121, 103, 257, 47, 1685, 2951, 5753, 15379, 8899, 0};
static int joe_kuo_d6_initial_number03481[] = {1, 1, 5, 7, 31, 63, 61, 197, 97, 773, 133, 1517, 3093, 14879, 22941, 0};
static int joe_kuo_d6_initial_number03482[] = {1, 1, 5, 1, 3, 9, 27, 53, 97, 663, 1915, 409, 471, 1391, 24853, 0};
static int joe_kuo_d6_initial_number03483[] = {1, 1, 1, 7, 21, 53, 69, 5, 187, 571, 2023, 997, 323, 12059, 7071, 0};
static int joe_kuo_d6_initial_number03484[] = {1, 3, 3, 1, 7, 59, 55, 157, 101, 123, 1301, 3709, 4673, 3897, 28791, 0};
static int joe_kuo_d6_initial_number03485[] = {1, 3, 7, 5, 5, 23, 39, 139, 365, 415, 1481, 3415, 6323, 11109, 5719, 0};
static int joe_kuo_d6_initial_number03486[] = {1, 3, 5, 3, 5, 11, 23, 143, 243, 229, 183, 3367, 3187, 8151, 28351, 0};
static int joe_kuo_d6_initial_number03487[] = {1, 3, 7, 9, 5, 37, 29, 23, 437, 827, 985, 2879, 7611, 1391, 19087, 0};
static int joe_kuo_d6_initial_number03488[] = {1, 3, 3, 5, 7, 9, 5, 143, 217, 757, 1697, 2459, 453, 8679, 4513, 0};
static int joe_kuo_d6_initial_number03489[] = {1, 3, 5, 5, 11, 33, 3, 143, 293, 921, 185, 2461, 5547, 12247, 28591, 0};
static int joe_kuo_d6_initial_number03490[] = {1, 3, 7, 5, 3, 53, 43, 179, 235, 417, 1307, 1367, 3695, 12809, 1807, 0};
static int joe_kuo_d6_initial_number03491[] = {1, 3, 1, 11, 15, 43, 115, 229, 157, 25, 687, 3347, 271, 5777, 8557, 0};
static int joe_kuo_d6_initial_number03492[] = {1, 3, 7, 5, 27, 37, 55, 135, 209, 47, 1603, 957, 5785, 11141, 10407, 0};
static int joe_kuo_d6_initial_number03493[] = {1, 1, 1, 15, 17, 17, 103, 29, 489, 493, 119, 1707, 3463, 1815, 32055, 0};
static int joe_kuo_d6_initial_number03494[] = {1, 3, 7, 11, 17, 13, 115, 145, 77, 515, 1911, 477, 5997, 8731, 3143, 0};
static int joe_kuo_d6_initial_number03495[] = {1, 3, 1, 13, 31, 41, 73, 91, 231, 1, 455, 2023, 4691, 3613, 16329, 0};
static int joe_kuo_d6_initial_number03496[] = {1, 1, 5, 15, 15, 39, 17, 117, 131, 657, 1939, 2245, 2575, 195, 25209, 0};
static int joe_kuo_d6_initial_number03497[] = {1, 3, 7, 15, 5, 51, 69, 141, 499, 931, 1165, 2119, 1703, 10867, 28443, 0};
static int joe_kuo_d6_initial_number03498[] = {1, 1, 1, 15, 13, 45, 45, 103, 115, 177, 651, 2545, 1417, 5349, 3385, 0};
static int joe_kuo_d6_initial_number03499[] = {1, 3, 3, 1, 1, 41, 117, 15, 225, 861, 843, 2775, 4543, 6275, 14671, 0};
static int joe_kuo_d6_initial_number03500[] = {1, 3, 5, 15, 5, 35, 87, 193, 341, 55, 1131, 945, 6865, 11271, 18705, 0};
static int joe_kuo_d6_initial_number03501[] = {1, 3, 5, 9, 13, 35, 71, 197, 79, 351, 3, 3939, 1105, 12455, 28921, 0};
static int joe_kuo_d6_initial_number03502[] = {1, 3, 1, 13, 9, 23, 89, 165, 59, 257, 1369, 161, 6255, 2997, 19175, 0};
static int joe_kuo_d6_initial_number03503[] = {1, 3, 5, 3, 5, 41, 107, 231, 111, 207, 1865, 2079, 5891, 2487, 5863, 0};
static int joe_kuo_d6_initial_number03504[] = {1, 3, 7, 15, 3, 3, 105, 235, 263, 991, 367, 1885, 1769, 7805, 11909, 0};
static int joe_kuo_d6_initial_number03505[] = {1, 3, 3, 5, 15, 59, 67, 247, 77, 367, 1641, 1959, 1921, 5939, 17355, 0};
static int joe_kuo_d6_initial_number03506[] = {1, 1, 7, 1, 3, 53, 37, 5, 221, 779, 1353, 1633, 2769, 6355, 8505, 0};
static int joe_kuo_d6_initial_number03507[] = {1, 1, 7, 13, 11, 13, 73, 227, 115, 523, 355, 3127, 7545, 8409, 22335, 0};
static int joe_kuo_d6_initial_number03508[] = {1, 1, 5, 11, 21, 15, 91, 115, 427, 683, 461, 2433, 6313, 4595, 24401, 0};
static int joe_kuo_d6_initial_number03509[] = {1, 3, 7, 5, 29, 21, 57, 215, 423, 717, 1455, 705, 6835, 4503, 26077, 0};
static int joe_kuo_d6_initial_number03510[] = {1, 1, 1, 15, 3, 33, 25, 227, 381, 477, 1023, 2751, 2229, 631, 16903, 0};
static int joe_kuo_d6_initial_number03511[] = {1, 3, 1, 11, 9, 17, 59, 73, 53, 671, 251, 1729, 7593, 12473, 22533, 0};
static int joe_kuo_d6_initial_number03512[] = {1, 3, 3, 1, 3, 35, 37, 173, 459, 143, 135, 3871, 2689, 8007, 4379, 0};
static int joe_kuo_d6_initial_number03513[] = {1, 3, 5, 9, 23, 19, 43, 45, 493, 509, 1851, 1615, 5675, 13793, 6973, 0};
static int joe_kuo_d6_initial_number03514[] = {1, 3, 3, 15, 5, 17, 77, 85, 451, 753, 579, 1057, 4851, 6017, 4195, 0};
static int joe_kuo_d6_initial_number03515[] = {1, 3, 3, 5, 31, 29, 81, 159, 103, 391, 15, 899, 4623, 5957, 31961, 0};
static int joe_kuo_d6_initial_number03516[] = {1, 1, 1, 7, 17, 57, 81, 17, 177, 633, 49, 2793, 5229, 5995, 9491, 0};
static int joe_kuo_d6_initial_number03517[] = {1, 1, 7, 15, 17, 19, 65, 57, 189, 239, 1229, 929, 2681, 12845, 29311, 0};
static int joe_kuo_d6_initial_number03518[] = {1, 3, 1, 11, 13, 47, 61, 203, 383, 875, 943, 139, 4217, 8279, 1047, 0};
static int joe_kuo_d6_initial_number03519[] = {1, 3, 7, 13, 23, 7, 1, 69, 47, 537, 1325, 3101, 685, 14057, 19953, 0};
static int joe_kuo_d6_initial_number03520[] = {1, 3, 3, 1, 1, 7, 39, 77, 47, 755, 527, 2985, 5433, 15095, 27741, 0};
static int joe_kuo_d6_initial_number03521[] = {1, 1, 7, 5, 23, 57, 79, 155, 81, 937, 1071, 3929, 1655, 3831, 17351, 0};
static int joe_kuo_d6_initial_number03522[] = {1, 3, 7, 1, 3, 41, 13, 235, 207, 487, 1883, 2247, 1231, 2751, 15615, 0};
static int joe_kuo_d6_initial_number03523[] = {1, 1, 7, 1, 21, 57, 95, 191, 119, 483, 283, 2221, 5665, 14819, 26097, 0};
static int joe_kuo_d6_initial_number03524[] = {1, 3, 1, 1, 9, 59, 27, 51, 393, 31, 925, 715, 7705, 14885, 28767, 0};
static int joe_kuo_d6_initial_number03525[] = {1, 1, 3, 3, 3, 61, 109, 131, 113, 249, 1331, 2521, 2973, 6375, 20093, 0};
static int joe_kuo_d6_initial_number03526[] = {1, 3, 7, 9, 31, 37, 125, 245, 237, 245, 111, 379, 7495, 15531, 2325, 0};
static int joe_kuo_d6_initial_number03527[] = {1, 3, 7, 13, 21, 21, 57, 21, 449, 969, 417, 2999, 509, 639, 7797, 0};
static int joe_kuo_d6_initial_number03528[] = {1, 3, 7, 7, 7, 29, 11, 175, 55, 705, 891, 863, 3021, 10071, 10267, 0};
static int joe_kuo_d6_initial_number03529[] = {1, 1, 3, 13, 19, 17, 127, 57, 449, 579, 337, 899, 1235, 11269, 4245, 0};
static int joe_kuo_d6_initial_number03530[] = {1, 1, 1, 11, 29, 61, 35, 75, 249, 683, 287, 45, 3277, 7521, 2073, 0};
static int joe_kuo_d6_initial_number03531[] = {1, 3, 5, 5, 15, 25, 77, 63, 63, 801, 1387, 1533, 2185, 10899, 28381, 0};
static int joe_kuo_d6_initial_number03532[] = {1, 3, 1, 1, 21, 49, 3, 249, 419, 575, 87, 3749, 2523, 16125, 9483, 0};
static int joe_kuo_d6_initial_number03533[] = {1, 1, 1, 11, 21, 43, 85, 211, 449, 439, 1495, 1841, 4765, 15253, 1467, 0};
static int joe_kuo_d6_initial_number03534[] = {1, 3, 3, 15, 3, 37, 31, 243, 187, 995, 1103, 2723, 1523, 15967, 28649, 0};
static int joe_kuo_d6_initial_number03535[] = {1, 1, 5, 11, 9, 11, 17, 87, 335, 125, 1079, 1657, 1237, 8059, 29833, 0};
static int joe_kuo_d6_initial_number03536[] = {1, 3, 1, 3, 3, 41, 35, 37, 33, 61, 505, 3203, 5, 101, 8571, 0};
static int joe_kuo_d6_initial_number03537[] = {1, 1, 3, 11, 9, 11, 85, 235, 261, 473, 109, 2127, 5745, 6389, 7431, 0};
static int joe_kuo_d6_initial_number03538[] = {1, 1, 5, 15, 3, 55, 77, 97, 17, 193, 1267, 3063, 6531, 9797, 8639, 0};
static int joe_kuo_d6_initial_number03539[] = {1, 1, 5, 5, 25, 41, 79, 83, 485, 697, 149, 1023, 89, 6115, 15227, 0};
static int joe_kuo_d6_initial_number03540[] = {1, 1, 3, 15, 1, 9, 73, 251, 33, 599, 1017, 353, 4305, 16033, 29663, 0};
static int joe_kuo_d6_initial_number03541[] = {1, 3, 7, 15, 3, 1, 89, 39, 125, 337, 1445, 3131, 3685, 9849, 25829, 0};
static int joe_kuo_d6_initial_number03542[] = {1, 3, 7, 3, 19, 1, 63, 179, 349, 135, 185, 2977, 2527, 15087, 18133, 0};
static int joe_kuo_d6_initial_number03543[] = {1, 1, 3, 3, 23, 7, 91, 221, 325, 723, 345, 81, 8077, 5501, 8453, 0};
static int joe_kuo_d6_initial_number03544[] = {1, 1, 3, 9, 7, 3, 13, 173, 479, 161, 1989, 3255, 2069, 6717, 559, 0};
static int joe_kuo_d6_initial_number03545[] = {1, 3, 3, 5, 9, 61, 93, 203, 277, 367, 1141, 981, 4745, 12625, 21003, 0};
static int joe_kuo_d6_initial_number03546[] = {1, 3, 5, 5, 27, 17, 5, 211, 403, 701, 5, 3091, 4611, 5615, 23667, 0};
static int joe_kuo_d6_initial_number03547[] = {1, 1, 3, 1, 21, 61, 125, 77, 57, 463, 1499, 791, 2087, 2805, 18829, 0};
static int joe_kuo_d6_initial_number03548[] = {1, 3, 5, 3, 11, 41, 125, 231, 119, 837, 831, 1331, 7439, 2381, 3759, 0};
static int joe_kuo_d6_initial_number03549[] = {1, 3, 1, 11, 19, 59, 117, 107, 443, 699, 315, 1491, 2581, 15871, 17159, 0};
static int joe_kuo_d6_initial_number03550[] = {1, 3, 5, 11, 5, 9, 121, 35, 209, 877, 527, 3493, 4657, 16093, 17589, 0};
static int joe_kuo_d6_initial_number03551[] = {1, 1, 7, 15, 9, 43, 119, 29, 381, 479, 1443, 3171, 5053, 9625, 21161, 0};
static int joe_kuo_d6_initial_number03552[] = {1, 1, 3, 5, 15, 21, 31, 223, 83, 399, 1529, 3605, 6343, 10469, 10099, 0};
static int joe_kuo_d6_initial_number03553[] = {1, 1, 3, 5, 5, 45, 23, 123, 353, 971, 85, 3069, 3245, 6569, 13241, 0};
static int joe_kuo_d6_initial_number03554[] = {1, 1, 1, 3, 25, 49, 5, 77, 491, 881, 993, 1195, 7677, 5709, 10807, 0};
static int joe_kuo_d6_initial_number03555[] = {1, 3, 3, 3, 5, 49, 127, 255, 183, 583, 1599, 987, 7281, 7149, 28507, 0};
static int joe_kuo_d6_initial_number03556[] = {1, 1, 5, 1, 13, 55, 55, 157, 197, 25, 1971, 3161, 3903, 8919, 13563, 0};
static int joe_kuo_d6_initial_number03557[] = {1, 3, 7, 9, 3, 37, 79, 193, 25, 103, 843, 2651, 6341, 2653, 24337, 0};
static int joe_kuo_d6_initial_number03558[] = {1, 1, 7, 3, 25, 49, 99, 139, 45, 211, 2033, 2331, 7037, 7177, 1755, 0};
static int joe_kuo_d6_initial_number03559[] = {1, 3, 7, 3, 5, 19, 127, 135, 403, 221, 141, 1065, 3935, 2745, 25979, 0};
static int joe_kuo_d6_initial_number03560[] = {1, 1, 3, 3, 31, 23, 111, 37, 261, 7, 835, 2379, 7927, 8181, 23751, 0};
static int joe_kuo_d6_initial_number03561[] = {1, 3, 7, 15, 1, 39, 79, 3, 103, 427, 1917, 809, 5039, 689, 1939, 0};
static int joe_kuo_d6_initial_number03562[] = {1, 1, 1, 15, 29, 37, 39, 243, 149, 353, 763, 3405, 5751, 9441, 6653, 0};
static int joe_kuo_d6_initial_number03563[] = {1, 3, 3, 11, 1, 57, 125, 151, 445, 423, 841, 2265, 5017, 15863, 13057, 0};
static int joe_kuo_d6_initial_number03564[] = {1, 3, 5, 13, 11, 49, 61, 159, 211, 917, 561, 1903, 3985, 11117, 28969, 0};
static int joe_kuo_d6_initial_number03565[] = {1, 3, 5, 13, 29, 5, 35, 51, 91, 291, 9, 3713, 3341, 4551, 12085, 0};
static int joe_kuo_d6_initial_number03566[] = {1, 3, 3, 1, 1, 39, 111, 141, 319, 179, 1709, 1605, 5063, 13279, 10003, 0};
static int joe_kuo_d6_initial_number03567[] = {1, 1, 3, 9, 7, 59, 91, 41, 343, 475, 1669, 2311, 5141, 12661, 25847, 0};
static int joe_kuo_d6_initial_number03568[] = {1, 3, 5, 9, 9, 11, 49, 221, 1, 243, 791, 229, 503, 373, 19189, 0};
static int joe_kuo_d6_initial_number03569[] = {1, 1, 5, 11, 17, 13, 45, 57, 215, 491, 1601, 2183, 3713, 429, 22007, 0};
static int joe_kuo_d6_initial_number03570[] = {1, 1, 3, 11, 31, 61, 23, 237, 261, 955, 1085, 1541, 2601, 909, 7749, 0};
static int joe_kuo_d6_initial_number03571[] = {1, 1, 3, 9, 13, 11, 121, 173, 177, 551, 1757, 2745, 2265, 4611, 743, 0};
static int joe_kuo_d6_initial_number03572[] = {1, 1, 3, 15, 23, 43, 107, 239, 463, 369, 1857, 1073, 1247, 1029, 22557, 0};
static int joe_kuo_d6_initial_number03573[] = {1, 1, 3, 11, 23, 35, 89, 93, 41, 941, 1141, 2339, 1423, 8007, 28685, 0};
static int joe_kuo_d6_initial_number03574[] = {1, 3, 5, 13, 29, 7, 79, 15, 59, 145, 1237, 2215, 1257, 12621, 31101, 0};
static int joe_kuo_d6_initial_number03575[] = {1, 1, 3, 7, 13, 55, 57, 229, 205, 1009, 341, 3901, 5189, 957, 32587, 0};
static int joe_kuo_d6_initial_number03576[] = {1, 3, 7, 11, 1, 1, 41, 7, 365, 407, 1609, 1423, 6483, 5171, 32519, 0};
static int joe_kuo_d6_initial_number03577[] = {1, 3, 7, 3, 17, 31, 125, 27, 125, 335, 1395, 2639, 329, 2549, 14449, 0};
static int joe_kuo_d6_initial_number03578[] = {1, 3, 3, 7, 19, 45, 11, 73, 123, 179, 1685, 3385, 2379, 3387, 16793, 0};
static int joe_kuo_d6_initial_number03579[] = {1, 3, 7, 5, 31, 25, 47, 153, 121, 453, 935, 3953, 2081, 12145, 24979, 0};
static int joe_kuo_d6_initial_number03580[] = {1, 1, 7, 13, 25, 11, 65, 3, 277, 237, 1129, 1801, 4165, 9065, 18747, 0};
static int joe_kuo_d6_initial_number03581[] = {1, 1, 7, 7, 13, 5, 37, 253, 507, 645, 1355, 3401, 6707, 6329, 11237, 0};
static int joe_kuo_d6_initial_number03582[] = {1, 1, 3, 15, 17, 49, 3, 233, 407, 451, 69, 3859, 3171, 12303, 21031, 0};
static int joe_kuo_d6_initial_number03583[] = {1, 1, 3, 3, 9, 53, 119, 117, 401, 903, 1449, 3639, 4083, 2095, 22085, 0};
static int joe_kuo_d6_initial_number03584[] = {1, 3, 7, 15, 5, 61, 117, 193, 137, 431, 195, 4019, 3047, 5049, 14281, 0};
static int joe_kuo_d6_initial_number03585[] = {1, 1, 1, 15, 17, 19, 29, 83, 449, 257, 1105, 1949, 1749, 3459, 6343, 0};
static int joe_kuo_d6_initial_number03586[] = {1, 1, 1, 15, 23, 39, 61, 219, 109, 365, 863, 1813, 6673, 15999, 5101, 0};
static int joe_kuo_d6_initial_number03587[] = {1, 1, 5, 5, 13, 11, 37, 151, 365, 719, 1233, 2425, 1285, 1721, 1205, 0};
static int joe_kuo_d6_initial_number03588[] = {1, 3, 3, 3, 7, 53, 109, 153, 45, 425, 1741, 1229, 4405, 8071, 25155, 0};
static int joe_kuo_d6_initial_number03589[] = {1, 3, 1, 1, 1, 13, 39, 49, 413, 77, 1367, 2553, 5563, 7659, 3467, 0};
static int joe_kuo_d6_initial_number03590[] = {1, 1, 5, 9, 3, 49, 23, 11, 445, 121, 1505, 877, 4137, 1809, 2429, 0};
static int joe_kuo_d6_initial_number03591[] = {1, 1, 1, 11, 21, 13, 93, 33, 493, 805, 775, 2939, 2961, 13625, 31879, 0};
static int joe_kuo_d6_initial_number03592[] = {1, 1, 7, 5, 1, 59, 63, 131, 373, 23, 337, 2107, 5315, 4889, 22851, 0};
static int joe_kuo_d6_initial_number03593[] = {1, 1, 3, 13, 21, 47, 15, 131, 353, 793, 1891, 1757, 5793, 1147, 23697, 0};
static int joe_kuo_d6_initial_number03594[] = {1, 3, 5, 13, 7, 59, 25, 135, 259, 109, 1835, 429, 8153, 7355, 145, 0};
static int joe_kuo_d6_initial_number03595[] = {1, 3, 3, 13, 9, 47, 121, 89, 89, 635, 1079, 2353, 4803, 11369, 12653, 0};
static int joe_kuo_d6_initial_number03596[] = {1, 3, 5, 9, 23, 39, 49, 231, 105, 603, 613, 2021, 6073, 11819, 10595, 0};
static int joe_kuo_d6_initial_number03597[] = {1, 3, 7, 7, 7, 19, 19, 155, 347, 387, 1459, 3793, 619, 14437, 2455, 0};
static int joe_kuo_d6_initial_number03598[] = {1, 1, 1, 15, 21, 35, 19, 185, 483, 425, 479, 3429, 5403, 10791, 14219, 0};
static int joe_kuo_d6_initial_number03599[] = {1, 1, 3, 11, 5, 51, 105, 63, 493, 677, 1457, 2865, 5619, 9321, 19583, 0};
static int joe_kuo_d6_initial_number03600[] = {1, 1, 3, 3, 23, 1, 77, 177, 263, 289, 1567, 3837, 5359, 3269, 16023, 0};
static int joe_kuo_d6_initial_number03601[] = {1, 1, 7, 3, 13, 61, 79, 77, 51, 953, 1417, 795, 4467, 2981, 25131, 0};
static int joe_kuo_d6_initial_number03602[] = {1, 1, 5, 13, 23, 13, 29, 185, 337, 7, 149, 3609, 8119, 9545, 16579, 0};
static int joe_kuo_d6_initial_number03603[] = {1, 3, 1, 5, 23, 9, 123, 15, 99, 55, 1021, 3709, 1521, 15189, 22193, 0};
static int joe_kuo_d6_initial_number03604[] = {1, 3, 7, 9, 13, 41, 39, 45, 49, 181, 1587, 3213, 1037, 14775, 3333, 0};
static int joe_kuo_d6_initial_number03605[] = {1, 1, 1, 7, 29, 55, 59, 31, 411, 601, 191, 283, 3211, 7951, 7919, 0};
static int joe_kuo_d6_initial_number03606[] = {1, 1, 7, 7, 21, 47, 7, 193, 343, 831, 1267, 3289, 1015, 13093, 2717, 0};
static int joe_kuo_d6_initial_number03607[] = {1, 3, 7, 1, 17, 9, 97, 19, 279, 827, 1699, 3573, 3137, 3535, 17791, 0};
static int joe_kuo_d6_initial_number03608[] = {1, 1, 5, 11, 27, 15, 103, 135, 35, 625, 1575, 97, 7013, 13353, 19333, 0};
static int joe_kuo_d6_initial_number03609[] = {1, 3, 3, 7, 17, 13, 49, 135, 435, 743, 1799, 2655, 4839, 2893, 31153, 0};
static int joe_kuo_d6_initial_number03610[] = {1, 1, 5, 1, 3, 41, 1, 195, 53, 803, 1575, 2939, 3873, 10495, 5211, 0};
static int joe_kuo_d6_initial_number03611[] = {1, 3, 1, 15, 19, 19, 37, 59, 355, 483, 685, 3899, 4645, 15127, 3479, 0};
static int joe_kuo_d6_initial_number03612[] = {1, 1, 5, 3, 25, 9, 9, 229, 101, 631, 1165, 4091, 3723, 10655, 9463, 0};
static int joe_kuo_d6_initial_number03613[] = {1, 3, 5, 15, 5, 13, 91, 61, 19, 469, 1675, 3331, 3121, 3435, 4111, 0};
static int joe_kuo_d6_initial_number03614[] = {1, 1, 7, 1, 31, 61, 23, 83, 165, 551, 1097, 3825, 5385, 4723, 3635, 0};
static int joe_kuo_d6_initial_number03615[] = {1, 3, 7, 15, 9, 31, 11, 121, 503, 855, 561, 1647, 1229, 1147, 15997, 0};
static int joe_kuo_d6_initial_number03616[] = {1, 3, 7, 13, 21, 47, 41, 195, 197, 719, 1263, 3609, 7515, 2659, 30713, 0};
static int joe_kuo_d6_initial_number03617[] = {1, 1, 1, 7, 31, 61, 101, 101, 479, 571, 605, 301, 6633, 15587, 23665, 0};
static int joe_kuo_d6_initial_number03618[] = {1, 3, 7, 3, 25, 39, 35, 225, 135, 463, 53, 709, 5129, 4135, 10421, 0};
static int joe_kuo_d6_initial_number03619[] = {1, 1, 5, 13, 19, 55, 107, 15, 163, 287, 673, 899, 5197, 4619, 3465, 0};
static int joe_kuo_d6_initial_number03620[] = {1, 3, 3, 5, 21, 49, 15, 105, 283, 877, 1875, 1079, 3431, 13053, 26599, 0};
static int joe_kuo_d6_initial_number03621[] = {1, 1, 7, 1, 1, 1, 95, 113, 119, 575, 1159, 2325, 6895, 12177, 4369, 0};
static int joe_kuo_d6_initial_number03622[] = {1, 1, 1, 11, 25, 25, 83, 207, 301, 729, 1947, 2321, 3621, 15707, 11303, 0};
static int joe_kuo_d6_initial_number03623[] = {1, 1, 5, 5, 7, 63, 83, 105, 211, 175, 1817, 2883, 5385, 7437, 24865, 0};
static int joe_kuo_d6_initial_number03624[] = {1, 3, 7, 5, 23, 39, 19, 211, 151, 295, 573, 223, 5065, 6345, 23187, 0};
static int joe_kuo_d6_initial_number03625[] = {1, 1, 7, 11, 15, 31, 89, 123, 57, 695, 685, 1799, 659, 9929, 22933, 0};
static int joe_kuo_d6_initial_number03626[] = {1, 1, 7, 7, 19, 17, 27, 137, 117, 141, 1481, 869, 7061, 3073, 19671, 0};
static int joe_kuo_d6_initial_number03627[] = {1, 3, 3, 11, 9, 19, 123, 93, 39, 517, 883, 3769, 2267, 8089, 6617, 0};
static int joe_kuo_d6_initial_number03628[] = {1, 3, 1, 7, 9, 61, 51, 241, 319, 853, 1239, 899, 105, 1677, 29351, 0};
static int joe_kuo_d6_initial_number03629[] = {1, 1, 7, 15, 13, 59, 85, 175, 223, 87, 905, 3175, 3405, 3489, 18475, 0};
static int joe_kuo_d6_initial_number03630[] = {1, 1, 1, 15, 1, 55, 79, 97, 315, 605, 851, 4015, 3689, 9371, 31523, 0};
static int joe_kuo_d6_initial_number03631[] = {1, 1, 5, 15, 1, 39, 91, 27, 211, 881, 1375, 2307, 5791, 10185, 23093, 0};
static int joe_kuo_d6_initial_number03632[] = {1, 3, 1, 5, 3, 17, 59, 219, 105, 623, 21, 2843, 3427, 4799, 3793, 0};
static int joe_kuo_d6_initial_number03633[] = {1, 3, 3, 7, 21, 55, 17, 29, 397, 93, 1981, 4047, 935, 5971, 14589, 0};
static int joe_kuo_d6_initial_number03634[] = {1, 1, 3, 9, 5, 57, 63, 27, 373, 815, 167, 205, 367, 4945, 30041, 0};
static int joe_kuo_d6_initial_number03635[] = {1, 1, 5, 9, 7, 3, 69, 35, 197, 309, 1729, 3735, 1523, 10427, 26253, 0};
static int joe_kuo_d6_initial_number03636[] = {1, 1, 3, 7, 7, 49, 35, 189, 297, 311, 2025, 305, 3863, 14393, 2533, 0};
static int joe_kuo_d6_initial_number03637[] = {1, 3, 3, 9, 17, 31, 5, 17, 167, 601, 909, 3149, 2533, 12123, 25325, 0};
static int joe_kuo_d6_initial_number03638[] = {1, 3, 5, 3, 11, 41, 69, 199, 79, 611, 133, 3519, 5955, 4609, 27403, 0};
static int joe_kuo_d6_initial_number03639[] = {1, 3, 3, 13, 3, 17, 53, 165, 361, 797, 1447, 869, 6707, 6541, 32249, 0};
static int joe_kuo_d6_initial_number03640[] = {1, 3, 1, 1, 29, 47, 17, 45, 473, 199, 1595, 3095, 3635, 6965, 21859, 0};
static int joe_kuo_d6_initial_number03641[] = {1, 1, 3, 9, 1, 15, 59, 163, 91, 811, 1087, 1707, 6743, 12643, 29901, 0};
static int joe_kuo_d6_initial_number03642[] = {1, 1, 1, 3, 19, 21, 7, 209, 121, 821, 709, 1085, 5333, 7689, 28355, 0};
static int joe_kuo_d6_initial_number03643[] = {1, 3, 1, 15, 5, 27, 115, 31, 37, 79, 1347, 155, 3709, 13251, 32151, 0};
static int joe_kuo_d6_initial_number03644[] = {1, 3, 7, 15, 27, 27, 127, 231, 137, 205, 1665, 1461, 299, 2797, 879, 0};
static int joe_kuo_d6_initial_number03645[] = {1, 1, 1, 7, 13, 3, 127, 13, 253, 481, 1435, 1895, 2665, 7611, 17761, 0};
static int joe_kuo_d6_initial_number03646[] = {1, 1, 3, 7, 7, 21, 71, 247, 301, 183, 1785, 331, 4835, 2251, 4493, 0};
static int joe_kuo_d6_initial_number03647[] = {1, 3, 7, 9, 9, 1, 77, 169, 103, 647, 1959, 1847, 5803, 3421, 15915, 0};
static int joe_kuo_d6_initial_number03648[] = {1, 3, 1, 7, 19, 17, 81, 45, 263, 549, 1607, 2177, 1117, 14427, 16451, 0};
static int joe_kuo_d6_initial_number03649[] = {1, 1, 7, 15, 27, 25, 27, 27, 33, 813, 1667, 253, 2749, 927, 29707, 0};
static int joe_kuo_d6_initial_number03650[] = {1, 1, 7, 3, 17, 29, 13, 67, 417, 303, 19, 3809, 7225, 12775, 3933, 0};
static int joe_kuo_d6_initial_number03651[] = {1, 1, 1, 11, 13, 41, 77, 217, 281, 659, 1099, 3047, 1619, 525, 4313, 0};
static int joe_kuo_d6_initial_number03652[] = {1, 3, 3, 9, 23, 47, 5, 33, 219, 531, 77, 2307, 1893, 8335, 8281, 0};
static int joe_kuo_d6_initial_number03653[] = {1, 3, 7, 3, 3, 35, 27, 249, 159, 495, 431, 3001, 1475, 11505, 15693, 0};
static int joe_kuo_d6_initial_number03654[] = {1, 1, 5, 9, 21, 49, 43, 159, 465, 959, 179, 993, 121, 11569, 21027, 0};
static int joe_kuo_d6_initial_number03655[] = {1, 3, 1, 5, 1, 61, 9, 221, 231, 55, 191, 2829, 3331, 8911, 15109, 0};
static int joe_kuo_d6_initial_number03656[] = {1, 1, 7, 1, 7, 35, 67, 97, 159, 191, 935, 3151, 6397, 10751, 1835, 0};
static int joe_kuo_d6_initial_number03657[] = {1, 1, 1, 7, 15, 39, 127, 163, 437, 333, 829, 753, 8151, 13239, 523, 0};
static int joe_kuo_d6_initial_number03658[] = {1, 1, 3, 13, 9, 25, 73, 155, 445, 239, 2035, 15, 5243, 15531, 1733, 0};
static int joe_kuo_d6_initial_number03659[] = {1, 3, 7, 15, 5, 25, 3, 55, 117, 57, 783, 1509, 7043, 13159, 8557, 0};
static int joe_kuo_d6_initial_number03660[] = {1, 3, 5, 1, 21, 55, 89, 119, 199, 79, 161, 1597, 3263, 3335, 5757, 0};
static int joe_kuo_d6_initial_number03661[] = {1, 3, 7, 5, 27, 23, 85, 113, 111, 211, 389, 1513, 2759, 7945, 931, 0};
static int joe_kuo_d6_initial_number03662[] = {1, 1, 1, 7, 1, 5, 17, 177, 357, 619, 5, 2583, 621, 2973, 28845, 0};
static int joe_kuo_d6_initial_number03663[] = {1, 3, 7, 13, 11, 21, 47, 99, 421, 279, 1541, 1305, 4571, 6127, 20735, 0};
static int joe_kuo_d6_initial_number03664[] = {1, 3, 5, 5, 23, 43, 19, 137, 425, 409, 1625, 2671, 4385, 3197, 25753, 0};
static int joe_kuo_d6_initial_number03665[] = {1, 1, 7, 5, 27, 17, 57, 15, 383, 181, 951, 2115, 5237, 1495, 9671, 0};
static int joe_kuo_d6_initial_number03666[] = {1, 3, 3, 11, 9, 1, 53, 127, 375, 499, 1487, 121, 1465, 3175, 24337, 0};
static int joe_kuo_d6_initial_number03667[] = {1, 3, 7, 11, 29, 35, 67, 129, 221, 439, 1159, 3501, 7741, 8885, 11381, 20707, 0};
static int joe_kuo_d6_initial_number03668[] = {1, 3, 5, 11, 29, 59, 23, 117, 343, 637, 1825, 1687, 2823, 11641, 3311, 23603, 0};
static int joe_kuo_d6_initial_number03669[] = {1, 1, 5, 11, 1, 35, 103, 155, 233, 575, 1761, 503, 4175, 6105, 29737, 32681, 0};
static int joe_kuo_d6_initial_number03670[] = {1, 3, 3, 1, 5, 63, 27, 71, 245, 433, 1779, 2475, 5479, 4705, 10795, 34247, 0};
static int joe_kuo_d6_initial_number03671[] = {1, 3, 5, 7, 29, 45, 117, 5, 393, 849, 843, 3131, 6995, 9979, 28907, 30115, 0};
static int joe_kuo_d6_initial_number03672[] = {1, 3, 5, 9, 27, 29, 69, 5, 395, 561, 1531, 409, 2779, 8785, 16405, 27315, 0};
static int joe_kuo_d6_initial_number03673[] = {1, 3, 1, 9, 15, 29, 85, 3, 331, 19, 1941, 567, 6957, 747, 1627, 11347, 0};
static int joe_kuo_d6_initial_number03674[] = {1, 1, 3, 9, 27, 45, 47, 127, 133, 921, 1817, 2231, 6333, 14371, 12799, 9831, 0};
static int joe_kuo_d6_initial_number03675[] = {1, 1, 5, 15, 31, 7, 125, 13, 455, 159, 331, 3629, 4705, 11261, 3657, 36307, 0};
static int joe_kuo_d6_initial_number03676[] = {1, 1, 5, 9, 11, 53, 51, 35, 87, 885, 1975, 3899, 1013, 7667, 32385, 33635, 0};
static int joe_kuo_d6_initial_number03677[] = {1, 1, 1, 3, 7, 45, 107, 177, 193, 765, 731, 139, 5563, 623, 16485, 54999, 0};
static int joe_kuo_d6_initial_number03678[] = {1, 1, 5, 9, 17, 53, 117, 69, 385, 587, 1483, 149, 2769, 3013, 18183, 10173, 0};
static int joe_kuo_d6_initial_number03679[] = {1, 1, 5, 11, 5, 3, 25, 153, 351, 749, 801, 3077, 3209, 11189, 25241, 14115, 0};
static int joe_kuo_d6_initial_number03680[] = {1, 1, 7, 9, 1, 47, 41, 247, 135, 163, 899, 1517, 5647, 10595, 32531, 12497, 0};
static int joe_kuo_d6_initial_number03681[] = {1, 3, 5, 11, 5, 61, 111, 215, 251, 279, 825, 2155, 3527, 173, 10973, 59257, 0};
static int joe_kuo_d6_initial_number03682[] = {1, 3, 5, 11, 25, 15, 71, 83, 135, 231, 1415, 3761, 7513, 8337, 28979, 43615, 0};
static int joe_kuo_d6_initial_number03683[] = {1, 3, 5, 13, 19, 5, 55, 165, 141, 119, 1891, 2255, 4735, 16217, 26195, 50527, 0};
static int joe_kuo_d6_initial_number03684[] = {1, 1, 7, 15, 23, 59, 59, 191, 1, 855, 453, 2619, 5013, 14749, 24335, 44339, 0};
static int joe_kuo_d6_initial_number03685[] = {1, 1, 1, 13, 15, 41, 51, 147, 229, 495, 1191, 867, 1525, 581, 29713, 26391, 0};
static int joe_kuo_d6_initial_number03686[] = {1, 1, 1, 9, 29, 5, 59, 127, 105, 417, 301, 2249, 6335, 3513, 17373, 52977, 0};
static int joe_kuo_d6_initial_number03687[] = {1, 1, 3, 7, 21, 27, 109, 143, 63, 347, 1429, 2889, 2597, 10243, 9913, 22687, 0};
static int joe_kuo_d6_initial_number03688[] = {1, 3, 5, 5, 7, 3, 125, 147, 313, 351, 1163, 415, 5615, 5571, 7089, 55621, 0};
static int joe_kuo_d6_initial_number03689[] = {1, 3, 3, 3, 31, 43, 101, 93, 9, 671, 135, 333, 2169, 11169, 7403, 50707, 0};
static int joe_kuo_d6_initial_number03690[] = {1, 1, 7, 13, 15, 33, 125, 155, 227, 827, 1047, 2441, 3007, 10881, 19969, 63805, 0};
static int joe_kuo_d6_initial_number03691[] = {1, 3, 3, 5, 31, 33, 29, 249, 159, 797, 1475, 841, 6933, 6417, 25629, 61865, 0};
static int joe_kuo_d6_initial_number03692[] = {1, 3, 3, 15, 11, 55, 11, 117, 149, 911, 1589, 3133, 6477, 6123, 10471, 41099, 0};
static int joe_kuo_d6_initial_number03693[] = {1, 3, 3, 9, 27, 37, 1, 119, 509, 969, 831, 3771, 2093, 13621, 31737, 43269, 0};
static int joe_kuo_d6_initial_number03694[] = {1, 1, 1, 1, 9, 23, 119, 109, 487, 753, 1673, 2163, 3349, 4741, 29971, 3407, 0};
static int joe_kuo_d6_initial_number03695[] = {1, 3, 3, 7, 25, 7, 67, 9, 461, 631, 651, 2271, 5663, 2621, 3953, 20975, 0};
static int joe_kuo_d6_initial_number03696[] = {1, 1, 5, 11, 13, 31, 29, 255, 371, 517, 845, 3649, 1187, 10061, 22887, 58417, 0};
static int joe_kuo_d6_initial_number03697[] = {1, 3, 5, 13, 29, 1, 11, 137, 151, 249, 167, 1243, 997, 11023, 11875, 42315, 0};
static int joe_kuo_d6_initial_number03698[] = {1, 1, 5, 5, 5, 55, 103, 71, 255, 1023, 209, 1005, 2147, 11527, 17863, 6661, 0};
static int joe_kuo_d6_initial_number03699[] = {1, 1, 3, 3, 31, 39, 7, 151, 353, 775, 1313, 1257, 4197, 2625, 9571, 27269, 0};
static int joe_kuo_d6_initial_number03700[] = {1, 1, 1, 3, 7, 17, 3, 127, 501, 503, 1879, 2329, 3049, 10603, 2111, 33189, 0};
static int joe_kuo_d6_initial_number03701[] = {1, 3, 3, 7, 13, 59, 93, 13, 375, 483, 1991, 2257, 3003, 1699, 4339, 51827, 0};
static int joe_kuo_d6_initial_number03702[] = {1, 3, 7, 15, 27, 41, 59, 225, 405, 807, 1545, 2581, 1173, 14137, 3413, 39299, 0};
static int joe_kuo_d6_initial_number03703[] = {1, 1, 1, 3, 9, 23, 37, 123, 465, 1023, 1065, 1455, 5107, 3839, 20451, 11461, 0};
static int joe_kuo_d6_initial_number03704[] = {1, 1, 1, 11, 19, 55, 91, 121, 317, 199, 215, 3031, 7223, 11891, 21463, 64921, 0};
static int joe_kuo_d6_initial_number03705[] = {1, 3, 7, 11, 19, 5, 5, 115, 399, 219, 71, 1465, 281, 14451, 26807, 42541, 0};
static int joe_kuo_d6_initial_number03706[] = {1, 3, 5, 13, 3, 33, 75, 35, 19, 559, 761, 947, 7479, 15325, 31453, 20561, 0};
static int joe_kuo_d6_initial_number03707[] = {1, 3, 3, 13, 23, 47, 99, 73, 331, 353, 401, 1737, 6235, 13781, 5547, 56443, 0};
static int joe_kuo_d6_initial_number03708[] = {1, 3, 3, 13, 21, 37, 41, 205, 87, 399, 51, 3175, 7403, 12875, 21129, 7079, 0};
static int joe_kuo_d6_initial_number03709[] = {1, 3, 5, 11, 15, 47, 33, 39, 465, 871, 277, 2351, 695, 1953, 24293, 20595, 0};
static int joe_kuo_d6_initial_number03710[] = {1, 1, 7, 11, 13, 15, 115, 59, 469, 715, 191, 1927, 905, 13463, 29005, 46789, 0};
static int joe_kuo_d6_initial_number03711[] = {1, 3, 5, 9, 13, 55, 79, 17, 265, 887, 905, 3985, 6907, 3379, 20055, 58569, 0};
static int joe_kuo_d6_initial_number03712[] = {1, 1, 7, 11, 21, 29, 23, 109, 17, 427, 1623, 2219, 3857, 3709, 25033, 63823, 0};
static int joe_kuo_d6_initial_number03713[] = {1, 3, 5, 15, 19, 27, 113, 15, 25, 63, 1885, 2693, 5301, 9385, 14137, 26097, 0};
static int joe_kuo_d6_initial_number03714[] = {1, 3, 3, 11, 17, 5, 73, 143, 79, 957, 461, 1709, 4909, 2285, 18113, 8401, 0};
static int joe_kuo_d6_initial_number03715[] = {1, 1, 3, 7, 9, 9, 101, 127, 137, 755, 1359, 1965, 83, 13335, 27763, 7941, 0};
static int joe_kuo_d6_initial_number03716[] = {1, 1, 1, 3, 13, 61, 95, 61, 295, 615, 555, 2163, 8155, 14043, 21465, 46741, 0};
static int joe_kuo_d6_initial_number03717[] = {1, 1, 1, 13, 29, 19, 111, 17, 373, 153, 1703, 2199, 7209, 15845, 1879, 7493, 0};
static int joe_kuo_d6_initial_number03718[] = {1, 3, 1, 13, 21, 51, 49, 51, 255, 151, 207, 1915, 7629, 2705, 8739, 7467, 0};
static int joe_kuo_d6_initial_number03719[] = {1, 3, 7, 5, 21, 21, 23, 193, 467, 739, 519, 2315, 2953, 10633, 9163, 6007, 0};
static int joe_kuo_d6_initial_number03720[] = {1, 3, 1, 5, 23, 19, 23, 247, 93, 297, 1089, 2349, 4683, 13609, 7615, 18647, 0};
static int joe_kuo_d6_initial_number03721[] = {1, 1, 3, 3, 21, 39, 19, 71, 93, 1, 133, 3531, 7503, 2819, 24211, 1739, 0};
static int joe_kuo_d6_initial_number03722[] = {1, 3, 5, 13, 9, 43, 31, 111, 493, 739, 705, 2715, 3613, 11877, 27945, 46053, 0};
static int joe_kuo_d6_initial_number03723[] = {1, 1, 7, 13, 27, 59, 103, 129, 53, 531, 1379, 1441, 5341, 14937, 5079, 39881, 0};
static int joe_kuo_d6_initial_number03724[] = {1, 1, 3, 3, 11, 63, 91, 95, 433, 393, 715, 809, 591, 4141, 17417, 54107, 0};
static int joe_kuo_d6_initial_number03725[] = {1, 3, 5, 1, 7, 25, 25, 175, 205, 803, 183, 1441, 1279, 2753, 20001, 56677, 0};
static int joe_kuo_d6_initial_number03726[] = {1, 1, 5, 3, 13, 23, 77, 25, 133, 137, 1907, 1313, 2463, 14339, 13, 57757, 0};
static int joe_kuo_d6_initial_number03727[] = {1, 1, 5, 9, 23, 35, 1, 119, 111, 61, 403, 1815, 1985, 5651, 10883, 55943, 0};
static int joe_kuo_d6_initial_number03728[] = {1, 3, 1, 7, 21, 43, 115, 7, 107, 719, 759, 1521, 467, 8735, 29785, 63821, 0};
static int joe_kuo_d6_initial_number03729[] = {1, 1, 3, 13, 19, 17, 51, 141, 399, 569, 703, 2221, 2809, 13355, 1907, 15837, 0};
static int joe_kuo_d6_initial_number03730[] = {1, 1, 5, 15, 15, 53, 57, 31, 481, 69, 1439, 4049, 6727, 11307, 20683, 63517, 0};
static int joe_kuo_d6_initial_number03731[] = {1, 1, 1, 3, 13, 27, 9, 255, 363, 131, 1745, 2489, 6451, 6585, 12873, 35405, 0};
static int joe_kuo_d6_initial_number03732[] = {1, 3, 5, 1, 17, 31, 113, 135, 449, 915, 1017, 2317, 6821, 5483, 30707, 45279, 0};
static int joe_kuo_d6_initial_number03733[] = {1, 3, 5, 1, 13, 47, 25, 53, 413, 545, 1777, 3049, 7527, 9689, 25935, 9919, 0};
static int joe_kuo_d6_initial_number03734[] = {1, 3, 7, 11, 17, 39, 13, 131, 295, 517, 1755, 2977, 6267, 12351, 8957, 17765, 0};
static int joe_kuo_d6_initial_number03735[] = {1, 1, 7, 5, 27, 57, 47, 21, 125, 429, 1169, 1717, 5455, 16359, 29065, 6671, 0};
static int joe_kuo_d6_initial_number03736[] = {1, 1, 5, 5, 21, 15, 79, 241, 83, 515, 859, 2351, 3125, 7465, 30475, 19759, 0};
static int joe_kuo_d6_initial_number03737[] = {1, 3, 1, 9, 11, 5, 81, 11, 7, 221, 141, 3329, 3435, 323, 18999, 54735, 0};
static int joe_kuo_d6_initial_number03738[] = {1, 1, 1, 15, 7, 57, 87, 251, 63, 561, 929, 1367, 2511, 14527, 9335, 38775, 0};
static int joe_kuo_d6_initial_number03739[] = {1, 3, 3, 9, 23, 37, 59, 105, 179, 515, 235, 2445, 433, 13039, 27005, 48829, 0};
static int joe_kuo_d6_initial_number03740[] = {1, 1, 1, 1, 23, 37, 103, 31, 89, 921, 1687, 831, 387, 10237, 1241, 19295, 0};
static int joe_kuo_d6_initial_number03741[] = {1, 3, 3, 7, 25, 23, 57, 251, 309, 579, 603, 807, 7383, 8579, 4025, 16757, 0};
static int joe_kuo_d6_initial_number03742[] = {1, 1, 3, 15, 23, 59, 29, 33, 467, 641, 1271, 2915, 2549, 14767, 26557, 43483, 0};
static int joe_kuo_d6_initial_number03743[] = {1, 1, 7, 13, 1, 57, 23, 129, 321, 75, 189, 4087, 5011, 4355, 25759, 37153, 0};
static int joe_kuo_d6_initial_number03744[] = {1, 1, 5, 1, 21, 57, 25, 183, 37, 669, 259, 1381, 877, 10245, 16643, 61035, 0};
static int joe_kuo_d6_initial_number03745[] = {1, 1, 7, 5, 11, 11, 85, 141, 393, 957, 1745, 2243, 1681, 5583, 16527, 12017, 0};
static int joe_kuo_d6_initial_number03746[] = {1, 1, 5, 15, 23, 31, 5, 169, 287, 527, 1831, 2937, 7533, 9739, 24305, 2239, 0};
static int joe_kuo_d6_initial_number03747[] = {1, 1, 7, 1, 7, 13, 3, 243, 189, 309, 607, 3659, 6369, 7649, 24255, 55373, 0};
static int joe_kuo_d6_initial_number03748[] = {1, 1, 1, 3, 3, 59, 103, 209, 287, 913, 1223, 1063, 7715, 6073, 26697, 25671, 0};
static int joe_kuo_d6_initial_number03749[] = {1, 3, 7, 5, 19, 19, 117, 191, 275, 637, 991, 2199, 2921, 10553, 21211, 25981, 0};
static int joe_kuo_d6_initial_number03750[] = {1, 3, 3, 5, 29, 59, 17, 13, 127, 57, 1405, 3181, 2237, 1795, 21419, 43421, 0};
static int joe_kuo_d6_initial_number03751[] = {1, 1, 1, 15, 25, 41, 11, 117, 463, 425, 305, 1441, 4307, 7967, 17529, 4043, 0};
static int joe_kuo_d6_initial_number03752[] = {1, 3, 5, 5, 19, 53, 69, 73, 453, 611, 1583, 1721, 6303, 10561, 18527, 48973, 0};
static int joe_kuo_d6_initial_number03753[] = {1, 1, 7, 11, 15, 61, 87, 69, 463, 771, 819, 469, 8165, 8897, 29657, 55161, 0};
static int joe_kuo_d6_initial_number03754[] = {1, 1, 5, 1, 15, 25, 23, 47, 287, 457, 1219, 473, 4127, 3349, 9425, 41541, 0};
static int joe_kuo_d6_initial_number03755[] = {1, 3, 7, 5, 17, 17, 33, 161, 239, 231, 241, 1297, 4879, 12761, 20939, 65261, 0};
static int joe_kuo_d6_initial_number03756[] = {1, 3, 3, 9, 19, 53, 95, 89, 117, 333, 1815, 2217, 7779, 8213, 4667, 58395, 0};
static int joe_kuo_d6_initial_number03757[] = {1, 3, 3, 9, 17, 7, 41, 99, 371, 797, 729, 2851, 2003, 4463, 20793, 54315, 0};
static int joe_kuo_d6_initial_number03758[] = {1, 3, 5, 5, 23, 39, 19, 235, 163, 365, 141, 791, 455, 2761, 9115, 53351, 0};
static int joe_kuo_d6_initial_number03759[] = {1, 3, 3, 3, 9, 27, 29, 139, 165, 867, 2023, 1333, 3771, 10451, 9141, 41177, 0};
static int joe_kuo_d6_initial_number03760[] = {1, 1, 3, 7, 3, 11, 125, 157, 355, 519, 187, 3381, 1151, 1629, 25247, 42797, 0};
static int joe_kuo_d6_initial_number03761[] = {1, 3, 3, 3, 21, 25, 37, 155, 257, 311, 961, 1945, 1383, 5679, 7857, 7183, 0};
static int joe_kuo_d6_initial_number03762[] = {1, 3, 3, 5, 29, 11, 49, 125, 171, 605, 1923, 2781, 2555, 5063, 5075, 43301, 0};
static int joe_kuo_d6_initial_number03763[] = {1, 3, 5, 9, 27, 1, 27, 149, 253, 205, 1299, 2901, 2891, 975, 7641, 8115, 0};
static int joe_kuo_d6_initial_number03764[] = {1, 3, 5, 3, 31, 7, 49, 215, 81, 791, 1485, 837, 5051, 1947, 7521, 25723, 0};
static int joe_kuo_d6_initial_number03765[] = {1, 3, 5, 7, 23, 25, 69, 13, 3, 859, 441, 3577, 1687, 6559, 8687, 46757, 0};
static int joe_kuo_d6_initial_number03766[] = {1, 1, 1, 9, 1, 59, 3, 31, 251, 187, 617, 2607, 4635, 6121, 8565, 8871, 0};
static int joe_kuo_d6_initial_number03767[] = {1, 3, 3, 9, 29, 37, 127, 87, 153, 633, 1691, 2729, 3167, 3219, 21237, 25573, 0};
static int joe_kuo_d6_initial_number03768[] = {1, 1, 5, 13, 19, 63, 93, 235, 299, 621, 405, 663, 6639, 12265, 9303, 42719, 0};
static int joe_kuo_d6_initial_number03769[] = {1, 1, 3, 9, 25, 11, 9, 231, 101, 335, 1793, 1497, 7069, 4171, 30199, 63, 0};
static int joe_kuo_d6_initial_number03770[] = {1, 1, 1, 1, 5, 19, 17, 217, 165, 413, 925, 1409, 6559, 14537, 22057, 44331, 0};
static int joe_kuo_d6_initial_number03771[] = {1, 1, 3, 7, 11, 51, 45, 217, 57, 795, 951, 2933, 6705, 137, 30525, 9679, 0};
static int joe_kuo_d6_initial_number03772[] = {1, 1, 3, 15, 27, 47, 35, 125, 363, 619, 1027, 2861, 3923, 10459, 16789, 27277, 0};
static int joe_kuo_d6_initial_number03773[] = {1, 1, 7, 7, 13, 37, 33, 29, 385, 851, 143, 119, 7345, 4251, 25121, 31609, 0};
static int joe_kuo_d6_initial_number03774[] = {1, 3, 1, 1, 17, 25, 119, 7, 365, 397, 601, 2087, 6903, 15345, 14671, 37889, 0};
static int joe_kuo_d6_initial_number03775[] = {1, 3, 1, 13, 19, 51, 41, 139, 133, 723, 25, 2621, 1257, 7037, 9527, 50037, 0};
static int joe_kuo_d6_initial_number03776[] = {1, 1, 5, 11, 5, 59, 119, 75, 397, 545, 1095, 585, 3271, 1049, 123, 33029, 0};
static int joe_kuo_d6_initial_number03777[] = {1, 1, 7, 11, 9, 27, 21, 197, 177, 31, 453, 2457, 2733, 7787, 1923, 24639, 0};
static int joe_kuo_d6_initial_number03778[] = {1, 1, 7, 13, 29, 13, 91, 91, 243, 279, 601, 1699, 7169, 4727, 7815, 29099, 0};
static int joe_kuo_d6_initial_number03779[] = {1, 3, 7, 5, 1, 35, 27, 235, 163, 913, 1479, 769, 7179, 1983, 25977, 55373, 0};
static int joe_kuo_d6_initial_number03780[] = {1, 3, 5, 11, 9, 33, 99, 141, 301, 109, 1785, 129, 1707, 5181, 4797, 9979, 0};
static int joe_kuo_d6_initial_number03781[] = {1, 1, 1, 13, 3, 47, 89, 43, 293, 87, 1689, 3885, 7747, 5607, 477, 31887, 0};
static int joe_kuo_d6_initial_number03782[] = {1, 1, 5, 1, 9, 21, 73, 37, 45, 621, 1855, 3691, 4899, 2191, 13459, 23543, 0};
static int joe_kuo_d6_initial_number03783[] = {1, 1, 1, 1, 7, 39, 61, 125, 341, 905, 213, 1755, 241, 13407, 8791, 10165, 0};
static int joe_kuo_d6_initial_number03784[] = {1, 1, 1, 1, 19, 31, 79, 19, 55, 875, 1017, 1787, 4879, 533, 15029, 52295, 0};
static int joe_kuo_d6_initial_number03785[] = {1, 3, 1, 1, 9, 59, 113, 71, 113, 649, 561, 71, 5253, 783, 7389, 19361, 0};
static int joe_kuo_d6_initial_number03786[] = {1, 1, 1, 11, 5, 39, 61, 225, 291, 907, 795, 1099, 597, 11829, 15137, 42865, 0};
static int joe_kuo_d6_initial_number03787[] = {1, 3, 1, 5, 25, 11, 71, 155, 271, 309, 1981, 1253, 463, 1133, 20833, 48625, 0};
static int joe_kuo_d6_initial_number03788[] = {1, 3, 5, 9, 7, 41, 87, 241, 457, 899, 1493, 3675, 3025, 10607, 22569, 52813, 0};
static int joe_kuo_d6_initial_number03789[] = {1, 3, 7, 13, 7, 37, 37, 103, 281, 915, 1259, 4049, 559, 173, 4123, 63767, 0};
static int joe_kuo_d6_initial_number03790[] = {1, 3, 7, 15, 13, 57, 9, 51, 39, 549, 1431, 2887, 1081, 4643, 16331, 14221, 0};
static int joe_kuo_d6_initial_number03791[] = {1, 3, 5, 7, 13, 1, 101, 125, 25, 713, 1423, 513, 3323, 9951, 7163, 20969, 0};
static int joe_kuo_d6_initial_number03792[] = {1, 1, 7, 15, 11, 25, 25, 3, 47, 531, 1529, 471, 6191, 10051, 29671, 49085, 0};
static int joe_kuo_d6_initial_number03793[] = {1, 1, 3, 5, 23, 51, 117, 141, 55, 275, 761, 1923, 6267, 2291, 3701, 26615, 0};
static int joe_kuo_d6_initial_number03794[] = {1, 1, 7, 9, 15, 19, 111, 65, 137, 373, 1753, 3591, 1137, 11639, 28591, 27265, 0};
static int joe_kuo_d6_initial_number03795[] = {1, 3, 1, 15, 29, 5, 67, 13, 425, 961, 453, 2481, 1407, 3479, 23303, 30407, 0};
static int joe_kuo_d6_initial_number03796[] = {1, 1, 5, 3, 19, 39, 39, 123, 351, 77, 1339, 1765, 3767, 1907, 13627, 23877, 0};
static int joe_kuo_d6_initial_number03797[] = {1, 3, 5, 9, 23, 7, 103, 177, 221, 197, 561, 2121, 7231, 12053, 30127, 29849, 0};
static int joe_kuo_d6_initial_number03798[] = {1, 1, 5, 7, 15, 1, 3, 123, 197, 493, 171, 2425, 3865, 4061, 31883, 2491, 0};
static int joe_kuo_d6_initial_number03799[] = {1, 1, 3, 13, 29, 33, 99, 67, 327, 969, 1793, 1871, 1839, 13059, 7605, 16797, 0};
static int joe_kuo_d6_initial_number03800[] = {1, 3, 5, 11, 25, 53, 25, 93, 303, 623, 1889, 1471, 1213, 14459, 8527, 25095, 0};
static int joe_kuo_d6_initial_number03801[] = {1, 1, 1, 13, 15, 3, 115, 3, 289, 743, 1855, 359, 2375, 13765, 19711, 40765, 0};
static int joe_kuo_d6_initial_number03802[] = {1, 1, 7, 11, 27, 51, 85, 163, 219, 871, 637, 2011, 5981, 587, 17521, 17333, 0};
static int joe_kuo_d6_initial_number03803[] = {1, 3, 5, 1, 21, 59, 49, 39, 305, 513, 2017, 285, 5817, 13123, 27765, 46741, 0};
static int joe_kuo_d6_initial_number03804[] = {1, 3, 3, 7, 21, 39, 71, 163, 423, 845, 783, 397, 7319, 10677, 13407, 47471, 0};
static int joe_kuo_d6_initial_number03805[] = {1, 3, 7, 5, 21, 59, 99, 179, 473, 687, 1393, 723, 2245, 2933, 25943, 7769, 0};
static int joe_kuo_d6_initial_number03806[] = {1, 1, 5, 9, 5, 45, 71, 189, 165, 555, 643, 2289, 3133, 12319, 22209, 1533, 0};
static int joe_kuo_d6_initial_number03807[] = {1, 1, 3, 9, 7, 43, 1, 155, 323, 169, 339, 2561, 4049, 4953, 5289, 8783, 0};
static int joe_kuo_d6_initial_number03808[] = {1, 3, 1, 11, 15, 5, 25, 201, 267, 891, 561, 501, 575, 15147, 1743, 45237, 0};
static int joe_kuo_d6_initial_number03809[] = {1, 3, 5, 13, 25, 27, 105, 205, 165, 795, 975, 943, 7413, 10299, 14839, 54895, 0};
static int joe_kuo_d6_initial_number03810[] = {1, 1, 5, 1, 17, 43, 69, 103, 449, 917, 103, 945, 513, 709, 11647, 28065, 0};
static int joe_kuo_d6_initial_number03811[] = {1, 1, 3, 15, 23, 51, 23, 7, 159, 743, 177, 3457, 415, 1775, 25353, 36385, 0};
static int joe_kuo_d6_initial_number03812[] = {1, 3, 5, 13, 9, 63, 121, 19, 165, 449, 1523, 1959, 6901, 12281, 29149, 45999, 0};
static int joe_kuo_d6_initial_number03813[] = {1, 3, 7, 11, 17, 19, 9, 155, 373, 753, 1313, 2205, 3571, 16317, 16151, 15325, 0};
static int joe_kuo_d6_initial_number03814[] = {1, 3, 3, 7, 15, 43, 65, 183, 407, 123, 1151, 375, 3461, 6673, 12985, 21005, 0};
static int joe_kuo_d6_initial_number03815[] = {1, 3, 7, 7, 9, 1, 87, 247, 489, 123, 1677, 1947, 7961, 13497, 27919, 28993, 0};
static int joe_kuo_d6_initial_number03816[] = {1, 3, 3, 7, 19, 21, 95, 227, 217, 133, 69, 1535, 699, 3521, 29255, 34733, 0};
static int joe_kuo_d6_initial_number03817[] = {1, 3, 5, 3, 7, 57, 45, 251, 407, 81, 1259, 2425, 2217, 13097, 12773, 14643, 0};
static int joe_kuo_d6_initial_number03818[] = {1, 1, 1, 11, 23, 37, 13, 229, 467, 591, 1521, 469, 3763, 2289, 14233, 24053, 0};
static int joe_kuo_d6_initial_number03819[] = {1, 3, 5, 1, 27, 53, 105, 5, 85, 765, 1973, 2597, 5725, 1063, 18145, 961, 0};
static int joe_kuo_d6_initial_number03820[] = {1, 3, 7, 1, 21, 47, 115, 95, 403, 3, 1593, 3379, 7371, 15553, 12503, 57979, 0};
static int joe_kuo_d6_initial_number03821[] = {1, 1, 3, 1, 1, 35, 121, 29, 379, 245, 919, 2673, 3503, 14197, 31193, 8355, 0};
static int joe_kuo_d6_initial_number03822[] = {1, 3, 5, 11, 19, 49, 97, 7, 195, 1013, 1671, 3415, 2009, 13389, 4837, 27453, 0};
static int joe_kuo_d6_initial_number03823[] = {1, 1, 5, 13, 9, 15, 115, 97, 463, 449, 303, 2681, 1215, 12559, 15685, 21321, 0};
static int joe_kuo_d6_initial_number03824[] = {1, 3, 5, 13, 23, 5, 113, 193, 419, 301, 1121, 317, 5503, 4683, 25519, 65, 0};
static int joe_kuo_d6_initial_number03825[] = {1, 3, 3, 7, 15, 29, 45, 97, 323, 475, 143, 1173, 4033, 8939, 31849, 3575, 0};
static int joe_kuo_d6_initial_number03826[] = {1, 1, 7, 7, 21, 1, 101, 143, 197, 409, 855, 1753, 5211, 3763, 11139, 37309, 0};
static int joe_kuo_d6_initial_number03827[] = {1, 1, 3, 13, 25, 33, 55, 45, 381, 349, 991, 535, 4823, 3701, 31629, 48037, 0};
static int joe_kuo_d6_initial_number03828[] = {1, 3, 1, 11, 17, 51, 27, 57, 409, 551, 949, 365, 8093, 10831, 19697, 39437, 0};
static int joe_kuo_d6_initial_number03829[] = {1, 3, 5, 3, 31, 33, 81, 49, 91, 865, 469, 2115, 377, 8237, 31907, 38239, 0};
static int joe_kuo_d6_initial_number03830[] = {1, 1, 3, 7, 29, 59, 57, 17, 121, 889, 1557, 1797, 5001, 14209, 21355, 59739, 0};
static int joe_kuo_d6_initial_number03831[] = {1, 1, 5, 9, 11, 45, 89, 87, 397, 785, 525, 1593, 5251, 12449, 23579, 54265, 0};
static int joe_kuo_d6_initial_number03832[] = {1, 3, 5, 11, 5, 31, 19, 47, 207, 331, 91, 1691, 5171, 53, 15945, 33349, 0};
static int joe_kuo_d6_initial_number03833[] = {1, 1, 1, 15, 11, 41, 91, 177, 505, 871, 815, 3673, 5631, 9915, 1133, 37861, 0};
static int joe_kuo_d6_initial_number03834[] = {1, 3, 5, 5, 25, 63, 53, 231, 55, 51, 481, 303, 1859, 11973, 28557, 22045, 0};
static int joe_kuo_d6_initial_number03835[] = {1, 1, 5, 3, 27, 11, 37, 91, 363, 411, 1131, 3369, 377, 6585, 7353, 42949, 0};
static int joe_kuo_d6_initial_number03836[] = {1, 3, 1, 9, 31, 63, 83, 23, 405, 941, 119, 1471, 2509, 15507, 29239, 49613, 0};
static int joe_kuo_d6_initial_number03837[] = {1, 1, 5, 1, 11, 63, 117, 237, 407, 231, 1425, 71, 8005, 4023, 9029, 59819, 0};
static int joe_kuo_d6_initial_number03838[] = {1, 1, 5, 7, 1, 9, 43, 87, 351, 63, 1075, 3381, 5447, 2437, 24983, 26905, 0};
static int joe_kuo_d6_initial_number03839[] = {1, 3, 7, 5, 5, 35, 33, 89, 251, 819, 1735, 2625, 6363, 6837, 27603, 26669, 0};
static int joe_kuo_d6_initial_number03840[] = {1, 3, 7, 13, 29, 63, 51, 245, 371, 791, 907, 3499, 3033, 8443, 20023, 1805, 0};
static int joe_kuo_d6_initial_number03841[] = {1, 1, 5, 7, 13, 15, 109, 197, 451, 709, 929, 3193, 5727, 11185, 29479, 1671, 0};
static int joe_kuo_d6_initial_number03842[] = {1, 1, 7, 13, 19, 23, 97, 9, 359, 635, 777, 39, 893, 2531, 13563, 19295, 0};
static int joe_kuo_d6_initial_number03843[] = {1, 1, 5, 1, 31, 63, 55, 7, 157, 877, 991, 1317, 1595, 2019, 21435, 52255, 0};
static int joe_kuo_d6_initial_number03844[] = {1, 1, 5, 3, 19, 37, 23, 13, 335, 431, 483, 615, 2431, 505, 26245, 63323, 0};
static int joe_kuo_d6_initial_number03845[] = {1, 3, 7, 5, 5, 9, 37, 65, 303, 423, 1907, 2661, 7213, 2975, 29045, 16243, 0};
static int joe_kuo_d6_initial_number03846[] = {1, 3, 1, 5, 13, 37, 115, 217, 227, 159, 707, 1387, 943, 4935, 5503, 35171, 0};
static int joe_kuo_d6_initial_number03847[] = {1, 3, 7, 9, 19, 15, 87, 233, 453, 159, 169, 1077, 2129, 413, 19773, 629, 0};
static int joe_kuo_d6_initial_number03848[] = {1, 1, 5, 15, 29, 39, 37, 243, 233, 365, 1843, 2219, 1255, 15287, 603, 13511, 0};
static int joe_kuo_d6_initial_number03849[] = {1, 1, 3, 3, 31, 53, 33, 125, 497, 597, 127, 1829, 3905, 2611, 4263, 40971, 0};
static int joe_kuo_d6_initial_number03850[] = {1, 3, 5, 9, 11, 47, 71, 215, 383, 321, 1445, 135, 5953, 8791, 22073, 16537, 0};
static int joe_kuo_d6_initial_number03851[] = {1, 3, 3, 13, 15, 7, 7, 133, 401, 459, 1117, 3165, 4105, 11943, 22431, 56821, 0};
static int joe_kuo_d6_initial_number03852[] = {1, 1, 7, 9, 31, 39, 19, 7, 19, 401, 79, 3641, 6815, 1489, 7537, 49467, 0};
static int joe_kuo_d6_initial_number03853[] = {1, 3, 7, 7, 17, 11, 91, 205, 251, 321, 515, 3521, 311, 3169, 271, 34749, 0};
static int joe_kuo_d6_initial_number03854[] = {1, 3, 3, 7, 29, 15, 5, 153, 83, 603, 1373, 997, 4939, 9811, 243, 5375, 0};
static int joe_kuo_d6_initial_number03855[] = {1, 1, 3, 11, 21, 47, 25, 221, 237, 177, 535, 2819, 6213, 7877, 26795, 36609, 0};
static int joe_kuo_d6_initial_number03856[] = {1, 3, 7, 3, 31, 1, 69, 73, 47, 653, 139, 1649, 7183, 1293, 26507, 38415, 0};
static int joe_kuo_d6_initial_number03857[] = {1, 1, 1, 13, 17, 41, 23, 73, 115, 509, 787, 3733, 1871, 171, 29967, 39941, 0};
static int joe_kuo_d6_initial_number03858[] = {1, 3, 5, 1, 9, 7, 61, 23, 105, 381, 1421, 2887, 3717, 643, 26375, 57991, 0};
static int joe_kuo_d6_initial_number03859[] = {1, 3, 3, 3, 19, 3, 101, 117, 393, 83, 1255, 3331, 6481, 8661, 20855, 28875, 0};
static int joe_kuo_d6_initial_number03860[] = {1, 3, 5, 11, 21, 13, 111, 193, 51, 899, 159, 1989, 7931, 10511, 3933, 447, 0};
static int joe_kuo_d6_initial_number03861[] = {1, 1, 5, 15, 23, 35, 49, 139, 397, 145, 597, 1847, 7077, 715, 20227, 42183, 0};
static int joe_kuo_d6_initial_number03862[] = {1, 3, 3, 3, 17, 3, 87, 233, 35, 317, 337, 237, 6901, 3439, 20033, 10307, 0};
static int joe_kuo_d6_initial_number03863[] = {1, 3, 5, 3, 11, 35, 13, 171, 7, 963, 1443, 1501, 7617, 963, 25453, 62589, 0};
static int joe_kuo_d6_initial_number03864[] = {1, 1, 1, 5, 11, 9, 39, 175, 409, 411, 1407, 2743, 4255, 989, 15823, 1707, 0};
static int joe_kuo_d6_initial_number03865[] = {1, 1, 7, 13, 27, 55, 63, 239, 355, 417, 2007, 2299, 2921, 1637, 10687, 60615, 0};
static int joe_kuo_d6_initial_number03866[] = {1, 1, 7, 9, 5, 61, 57, 73, 263, 307, 2003, 1763, 639, 5885, 14709, 16985, 0};
static int joe_kuo_d6_initial_number03867[] = {1, 1, 3, 3, 21, 55, 19, 249, 509, 533, 1361, 1397, 2777, 15523, 4389, 13339, 0};
static int joe_kuo_d6_initial_number03868[] = {1, 3, 5, 15, 9, 3, 91, 237, 451, 299, 1541, 4083, 879, 7859, 21585, 14833, 0};
static int joe_kuo_d6_initial_number03869[] = {1, 1, 7, 3, 31, 47, 49, 231, 123, 391, 1633, 2567, 5577, 1631, 27951, 22913, 0};
static int joe_kuo_d6_initial_number03870[] = {1, 3, 7, 13, 11, 13, 1, 111, 183, 87, 839, 1915, 5523, 3677, 13065, 38225, 0};
static int joe_kuo_d6_initial_number03871[] = {1, 1, 3, 7, 15, 15, 63, 241, 167, 345, 653, 701, 4725, 12911, 11545, 24475, 0};
static int joe_kuo_d6_initial_number03872[] = {1, 1, 3, 7, 25, 15, 49, 235, 331, 639, 965, 1117, 7147, 3789, 3309, 20255, 0};
static int joe_kuo_d6_initial_number03873[] = {1, 3, 5, 7, 7, 63, 93, 241, 253, 31, 951, 3723, 3359, 7303, 191, 36427, 0};
static int joe_kuo_d6_initial_number03874[] = {1, 3, 7, 9, 9, 59, 5, 107, 181, 413, 1269, 3121, 1929, 11921, 8931, 47459, 0};
static int joe_kuo_d6_initial_number03875[] = {1, 3, 1, 15, 25, 27, 13, 47, 295, 111, 1287, 2551, 4887, 4145, 17063, 42037, 0};
static int joe_kuo_d6_initial_number03876[] = {1, 3, 3, 13, 17, 17, 21, 17, 491, 845, 1463, 1305, 1375, 16149, 19331, 25043, 0};
static int joe_kuo_d6_initial_number03877[] = {1, 3, 5, 1, 27, 5, 93, 139, 283, 711, 1141, 1743, 5001, 8851, 19351, 12275, 0};
static int joe_kuo_d6_initial_number03878[] = {1, 1, 1, 1, 23, 25, 51, 63, 429, 735, 201, 3785, 6677, 16375, 19681, 17857, 0};
static int joe_kuo_d6_initial_number03879[] = {1, 3, 3, 3, 9, 63, 71, 147, 463, 465, 1163, 1045, 6967, 12537, 31853, 38391, 0};
static int joe_kuo_d6_initial_number03880[] = {1, 3, 7, 1, 5, 51, 79, 239, 389, 3, 601, 3787, 7635, 16295, 1681, 63971, 0};
static int joe_kuo_d6_initial_number03881[] = {1, 3, 1, 3, 5, 31, 103, 89, 321, 971, 783, 3685, 1155, 10353, 2167, 35423, 0};
static int joe_kuo_d6_initial_number03882[] = {1, 1, 5, 15, 25, 19, 93, 59, 361, 217, 1141, 597, 5877, 15961, 1593, 22925, 0};
static int joe_kuo_d6_initial_number03883[] = {1, 3, 1, 9, 25, 59, 69, 89, 477, 89, 487, 237, 5625, 9579, 30421, 21883, 0};
static int joe_kuo_d6_initial_number03884[] = {1, 1, 3, 7, 1, 5, 13, 225, 9, 981, 1081, 1407, 6855, 15215, 21713, 62313, 0};
static int joe_kuo_d6_initial_number03885[] = {1, 1, 7, 15, 11, 13, 119, 109, 151, 245, 1195, 3741, 755, 8047, 15431, 21001, 0};
static int joe_kuo_d6_initial_number03886[] = {1, 3, 7, 3, 17, 47, 107, 137, 99, 255, 1597, 3281, 5779, 13487, 15061, 19199, 0};
static int joe_kuo_d6_initial_number03887[] = {1, 1, 3, 3, 9, 39, 77, 227, 511, 839, 1375, 3887, 25, 14763, 13259, 217, 0};
static int joe_kuo_d6_initial_number03888[] = {1, 3, 5, 7, 17, 3, 87, 61, 439, 287, 709, 4085, 4251, 8945, 28203, 24011, 0};
static int joe_kuo_d6_initial_number03889[] = {1, 3, 1, 1, 29, 25, 49, 101, 209, 359, 285, 1593, 4161, 2943, 23225, 6381, 0};
static int joe_kuo_d6_initial_number03890[] = {1, 1, 3, 13, 1, 45, 87, 7, 491, 399, 905, 1403, 4791, 7419, 14355, 47767, 0};
static int joe_kuo_d6_initial_number03891[] = {1, 1, 7, 15, 13, 25, 111, 197, 297, 301, 499, 4007, 2235, 7681, 4641, 32447, 0};
static int joe_kuo_d6_initial_number03892[] = {1, 1, 3, 3, 27, 41, 97, 83, 405, 353, 1609, 201, 1503, 10673, 29377, 20445, 0};
static int joe_kuo_d6_initial_number03893[] = {1, 1, 7, 3, 9, 47, 65, 191, 207, 545, 377, 3011, 7361, 3467, 14073, 46769, 0};
static int joe_kuo_d6_initial_number03894[] = {1, 1, 7, 5, 7, 39, 9, 91, 187, 949, 1829, 161, 3689, 4145, 32675, 23263, 0};
static int joe_kuo_d6_initial_number03895[] = {1, 1, 5, 9, 29, 9, 83, 113, 77, 673, 613, 3645, 6671, 8583, 27701, 18615, 0};
static int joe_kuo_d6_initial_number03896[] = {1, 3, 5, 9, 29, 13, 127, 247, 285, 845, 463, 539, 4441, 1867, 12469, 16213, 0};
static int joe_kuo_d6_initial_number03897[] = {1, 3, 7, 15, 1, 29, 47, 157, 239, 595, 563, 1103, 3431, 2849, 28125, 19969, 0};
static int joe_kuo_d6_initial_number03898[] = {1, 1, 1, 15, 25, 13, 1, 131, 57, 257, 2021, 169, 7603, 10721, 21675, 63171, 0};
static int joe_kuo_d6_initial_number03899[] = {1, 3, 5, 3, 5, 19, 31, 57, 275, 381, 775, 681, 1145, 12237, 5141, 29375, 0};
static int joe_kuo_d6_initial_number03900[] = {1, 3, 5, 13, 27, 13, 47, 201, 267, 581, 1563, 3845, 951, 7209, 27253, 19755, 0};
static int joe_kuo_d6_initial_number03901[] = {1, 3, 5, 15, 19, 35, 57, 17, 61, 273, 967, 3029, 1747, 1753, 31321, 23711, 0};
static int joe_kuo_d6_initial_number03902[] = {1, 1, 1, 5, 13, 13, 7, 177, 335, 393, 1401, 1411, 4703, 8259, 1281, 39835, 0};
static int joe_kuo_d6_initial_number03903[] = {1, 1, 3, 15, 25, 27, 27, 121, 183, 105, 663, 1375, 6987, 7151, 13763, 39323, 0};
static int joe_kuo_d6_initial_number03904[] = {1, 3, 7, 5, 15, 1, 81, 129, 455, 163, 675, 81, 3735, 14409, 7269, 16425, 0};
static int joe_kuo_d6_initial_number03905[] = {1, 3, 3, 11, 13, 7, 79, 157, 165, 663, 229, 3539, 1837, 6485, 30729, 42157, 0};
static int joe_kuo_d6_initial_number03906[] = {1, 1, 5, 15, 9, 9, 9, 47, 133, 863, 43, 1461, 511, 13991, 24781, 19221, 0};
static int joe_kuo_d6_initial_number03907[] = {1, 3, 1, 7, 31, 33, 103, 13, 159, 689, 1353, 4025, 6051, 7683, 1741, 30047, 0};
static int joe_kuo_d6_initial_number03908[] = {1, 1, 3, 11, 5, 45, 71, 219, 475, 585, 1207, 3163, 4661, 4713, 12729, 30445, 0};
static int joe_kuo_d6_initial_number03909[] = {1, 3, 7, 5, 5, 53, 101, 227, 129, 521, 91, 1129, 4683, 11235, 24697, 45055, 0};
static int joe_kuo_d6_initial_number03910[] = {1, 1, 3, 13, 1, 43, 7, 1, 73, 857, 1713, 185, 1685, 2369, 24187, 40419, 0};
static int joe_kuo_d6_initial_number03911[] = {1, 1, 7, 7, 21, 7, 13, 177, 503, 1003, 1091, 2411, 1433, 9063, 13901, 3329, 0};
static int joe_kuo_d6_initial_number03912[] = {1, 1, 7, 1, 7, 41, 99, 203, 325, 249, 1763, 545, 2981, 14125, 7815, 11385, 0};
static int joe_kuo_d6_initial_number03913[] = {1, 3, 7, 11, 3, 11, 95, 137, 325, 701, 1177, 1631, 4483, 2955, 30229, 25577, 0};
static int joe_kuo_d6_initial_number03914[] = {1, 1, 7, 7, 17, 45, 77, 103, 143, 97, 1963, 3635, 1539, 10491, 23483, 22767, 0};
static int joe_kuo_d6_initial_number03915[] = {1, 1, 7, 15, 7, 5, 81, 63, 243, 55, 39, 207, 2315, 8285, 8155, 11631, 0};
static int joe_kuo_d6_initial_number03916[] = {1, 3, 5, 15, 23, 19, 115, 9, 125, 851, 161, 3767, 3513, 1855, 11139, 1719, 0};
static int joe_kuo_d6_initial_number03917[] = {1, 3, 7, 11, 11, 23, 15, 13, 235, 5, 1039, 1425, 6485, 5539, 8967, 64809, 0};
static int joe_kuo_d6_initial_number03918[] = {1, 3, 5, 7, 19, 11, 83, 135, 45, 905, 1081, 1857, 3185, 13555, 21365, 38143, 0};
static int joe_kuo_d6_initial_number03919[] = {1, 1, 5, 1, 25, 27, 119, 109, 167, 847, 1539, 2653, 797, 11185, 23501, 22389, 0};
static int joe_kuo_d6_initial_number03920[] = {1, 1, 7, 7, 11, 3, 51, 97, 277, 557, 207, 3645, 825, 8521, 26653, 60071, 0};
static int joe_kuo_d6_initial_number03921[] = {1, 3, 3, 15, 17, 35, 57, 7, 267, 549, 97, 243, 1137, 10311, 6737, 19077, 0};
static int joe_kuo_d6_initial_number03922[] = {1, 1, 1, 15, 23, 33, 27, 203, 415, 1023, 1145, 1881, 7715, 4413, 3727, 5185, 0};
static int joe_kuo_d6_initial_number03923[] = {1, 1, 3, 3, 13, 47, 63, 13, 75, 505, 595, 2911, 4029, 14187, 23151, 42877, 0};
static int joe_kuo_d6_initial_number03924[] = {1, 1, 5, 15, 23, 5, 11, 65, 147, 675, 1961, 2177, 727, 15077, 23759, 10195, 0};
static int joe_kuo_d6_initial_number03925[] = {1, 3, 5, 9, 9, 39, 69, 229, 341, 627, 1331, 3139, 3921, 9219, 14887, 4659, 0};
static int joe_kuo_d6_initial_number03926[] = {1, 1, 7, 3, 1, 35, 49, 71, 165, 83, 719, 2771, 6475, 7821, 16709, 4449, 0};
static int joe_kuo_d6_initial_number03927[] = {1, 3, 5, 5, 23, 15, 3, 57, 465, 77, 121, 3767, 6841, 13601, 12035, 14075, 0};
static int joe_kuo_d6_initial_number03928[] = {1, 1, 7, 3, 3, 23, 45, 131, 287, 941, 713, 415, 6865, 14209, 29555, 55493, 0};
static int joe_kuo_d6_initial_number03929[] = {1, 3, 5, 11, 29, 35, 55, 75, 225, 779, 569, 1795, 1377, 12765, 19081, 47287, 0};
static int joe_kuo_d6_initial_number03930[] = {1, 3, 7, 3, 31, 47, 127, 89, 157, 737, 1395, 3615, 7923, 14731, 15797, 40061, 0};
static int joe_kuo_d6_initial_number03931[] = {1, 1, 1, 11, 21, 37, 21, 59, 9, 141, 193, 3095, 3435, 12371, 26931, 61861, 0};
static int joe_kuo_d6_initial_number03932[] = {1, 1, 3, 7, 13, 51, 15, 153, 77, 1013, 651, 3949, 6229, 14297, 1039, 46139, 0};
static int joe_kuo_d6_initial_number03933[] = {1, 3, 3, 13, 7, 43, 95, 61, 217, 3, 549, 739, 123, 3661, 15375, 13919, 0};
static int joe_kuo_d6_initial_number03934[] = {1, 3, 5, 9, 13, 37, 101, 89, 55, 413, 1089, 775, 7575, 13063, 31393, 29583, 0};
static int joe_kuo_d6_initial_number03935[] = {1, 1, 3, 9, 25, 63, 119, 143, 499, 145, 603, 2067, 4713, 13457, 14053, 117, 0};
static int joe_kuo_d6_initial_number03936[] = {1, 1, 5, 9, 7, 23, 57, 253, 115, 591, 2003, 63, 7615, 11493, 28519, 47087, 0};
static int joe_kuo_d6_initial_number03937[] = {1, 1, 7, 3, 7, 53, 121, 33, 233, 645, 1093, 1697, 7213, 2603, 10743, 51303, 0};
static int joe_kuo_d6_initial_number03938[] = {1, 3, 5, 7, 13, 31, 17, 125, 93, 969, 159, 1529, 7165, 7371, 8707, 56953, 0};
static int joe_kuo_d6_initial_number03939[] = {1, 3, 3, 1, 13, 9, 91, 25, 171, 843, 1635, 2043, 1043, 15893, 11409, 53689, 0};
static int joe_kuo_d6_initial_number03940[] = {1, 3, 5, 7, 13, 19, 89, 97, 203, 923, 1109, 2061, 463, 11703, 8925, 56015, 0};
static int joe_kuo_d6_initial_number03941[] = {1, 3, 5, 11, 5, 21, 79, 237, 195, 649, 717, 211, 919, 12855, 3045, 39659, 0};
static int joe_kuo_d6_initial_number03942[] = {1, 1, 1, 15, 13, 19, 21, 69, 393, 257, 1263, 309, 3209, 8403, 24467, 6467, 0};
static int joe_kuo_d6_initial_number03943[] = {1, 1, 1, 11, 7, 27, 59, 117, 379, 353, 943, 2513, 3869, 4567, 12989, 13139, 0};
static int joe_kuo_d6_initial_number03944[] = {1, 1, 1, 3, 13, 43, 11, 15, 149, 237, 1555, 71, 2357, 15773, 21419, 40571, 0};
static int joe_kuo_d6_initial_number03945[] = {1, 3, 1, 9, 19, 23, 59, 215, 15, 921, 1729, 249, 3785, 7171, 1233, 3449, 0};
static int joe_kuo_d6_initial_number03946[] = {1, 1, 1, 7, 7, 37, 63, 205, 75, 599, 951, 2513, 3347, 2497, 8019, 5433, 0};
static int joe_kuo_d6_initial_number03947[] = {1, 3, 3, 15, 27, 17, 25, 201, 23, 699, 1525, 465, 1115, 12299, 14747, 40363, 0};
static int joe_kuo_d6_initial_number03948[] = {1, 1, 1, 3, 29, 59, 115, 233, 107, 815, 291, 3821, 7325, 7381, 21445, 33917, 0};
static int joe_kuo_d6_initial_number03949[] = {1, 3, 1, 11, 11, 33, 107, 171, 421, 893, 587, 3373, 4101, 3885, 25383, 12035, 0};
static int joe_kuo_d6_initial_number03950[] = {1, 3, 3, 7, 5, 23, 43, 51, 357, 77, 1327, 2995, 1321, 1571, 26419, 23603, 0};
static int joe_kuo_d6_initial_number03951[] = {1, 3, 7, 9, 27, 57, 101, 51, 215, 215, 469, 303, 723, 2903, 30569, 42631, 0};
static int joe_kuo_d6_initial_number03952[] = {1, 3, 3, 13, 1, 7, 63, 205, 143, 321, 1439, 253, 2667, 1271, 11761, 55631, 0};
static int joe_kuo_d6_initial_number03953[] = {1, 1, 7, 9, 3, 7, 7, 15, 503, 875, 1619, 1715, 5047, 5665, 5503, 17745, 0};
static int joe_kuo_d6_initial_number03954[] = {1, 1, 7, 15, 19, 49, 65, 31, 245, 371, 377, 2963, 6185, 5519, 10743, 33231, 0};
static int joe_kuo_d6_initial_number03955[] = {1, 1, 7, 3, 25, 27, 115, 51, 299, 451, 285, 1709, 6153, 14881, 17861, 22071, 0};
static int joe_kuo_d6_initial_number03956[] = {1, 3, 1, 5, 21, 21, 127, 185, 325, 995, 213, 3279, 4769, 15943, 2589, 29567, 0};
static int joe_kuo_d6_initial_number03957[] = {1, 3, 7, 5, 21, 9, 63, 59, 159, 743, 663, 2965, 97, 8993, 25633, 29033, 0};
static int joe_kuo_d6_initial_number03958[] = {1, 3, 7, 13, 3, 35, 59, 101, 21, 659, 1531, 3995, 795, 2143, 21749, 52715, 0};
static int joe_kuo_d6_initial_number03959[] = {1, 3, 3, 15, 27, 29, 95, 1, 501, 425, 417, 2351, 7877, 4127, 3633, 23347, 0};
static int joe_kuo_d6_initial_number03960[] = {1, 3, 5, 7, 7, 49, 55, 19, 329, 467, 425, 1609, 6987, 16123, 26879, 42883, 0};
static int joe_kuo_d6_initial_number03961[] = {1, 1, 1, 15, 17, 21, 13, 13, 85, 7, 677, 3739, 5491, 6299, 29957, 55765, 0};
static int joe_kuo_d6_initial_number03962[] = {1, 1, 1, 7, 31, 21, 1, 5, 193, 659, 979, 3409, 3151, 6615, 7445, 8151, 0};
static int joe_kuo_d6_initial_number03963[] = {1, 3, 1, 1, 11, 61, 27, 205, 263, 805, 955, 3469, 1233, 1609, 15329, 13353, 0};
static int joe_kuo_d6_initial_number03964[] = {1, 3, 3, 9, 3, 29, 59, 75, 149, 557, 663, 3887, 3369, 3397, 10611, 9511, 0};
static int joe_kuo_d6_initial_number03965[] = {1, 1, 7, 13, 29, 21, 101, 139, 99, 411, 569, 2343, 6901, 1685, 20599, 49543, 0};
static int joe_kuo_d6_initial_number03966[] = {1, 3, 3, 15, 11, 3, 87, 89, 5, 293, 291, 1405, 1489, 9877, 32505, 32263, 0};
static int joe_kuo_d6_initial_number03967[] = {1, 1, 5, 5, 19, 45, 89, 5, 381, 253, 1339, 707, 4645, 14177, 29441, 8965, 0};
static int joe_kuo_d6_initial_number03968[] = {1, 3, 7, 15, 27, 45, 25, 177, 81, 229, 1339, 2143, 6547, 6841, 23449, 14813, 0};
static int joe_kuo_d6_initial_number03969[] = {1, 1, 1, 3, 27, 23, 81, 157, 53, 513, 1435, 277, 2353, 3545, 21461, 51479, 0};
static int joe_kuo_d6_initial_number03970[] = {1, 3, 1, 3, 3, 17, 75, 139, 283, 881, 1157, 2081, 937, 14549, 10215, 13053, 0};
static int joe_kuo_d6_initial_number03971[] = {1, 1, 7, 9, 25, 27, 27, 133, 21, 559, 225, 613, 6931, 11785, 23413, 35757, 0};
static int joe_kuo_d6_initial_number03972[] = {1, 1, 3, 13, 19, 9, 65, 49, 453, 779, 621, 1151, 1807, 13269, 6515, 17113, 0};
static int joe_kuo_d6_initial_number03973[] = {1, 1, 1, 13, 21, 49, 39, 79, 119, 401, 903, 493, 3779, 7389, 29425, 28091, 0};
static int joe_kuo_d6_initial_number03974[] = {1, 3, 1, 3, 23, 57, 59, 213, 463, 839, 1201, 1951, 5197, 13035, 29657, 35517, 0};
static int joe_kuo_d6_initial_number03975[] = {1, 3, 7, 7, 3, 49, 29, 181, 367, 101, 1277, 3329, 3563, 10373, 29757, 62555, 0};
static int joe_kuo_d6_initial_number03976[] = {1, 3, 1, 7, 31, 31, 117, 213, 373, 57, 1095, 2733, 3431, 3915, 7665, 44459, 0};
static int joe_kuo_d6_initial_number03977[] = {1, 1, 7, 5, 9, 25, 47, 117, 355, 495, 1367, 2579, 5617, 787, 27655, 18885, 0};
static int joe_kuo_d6_initial_number03978[] = {1, 1, 1, 3, 9, 39, 113, 87, 107, 477, 891, 2273, 4239, 7521, 147, 1737, 0};
static int joe_kuo_d6_initial_number03979[] = {1, 1, 1, 3, 13, 61, 81, 225, 113, 441, 889, 1915, 3897, 15179, 4053, 5925, 0};
static int joe_kuo_d6_initial_number03980[] = {1, 1, 5, 3, 15, 47, 59, 187, 475, 197, 1381, 33, 4605, 1487, 14359, 33769, 0};
static int joe_kuo_d6_initial_number03981[] = {1, 3, 7, 15, 23, 45, 53, 215, 129, 465, 795, 53, 7077, 9517, 2663, 55397, 0};
static int joe_kuo_d6_initial_number03982[] = {1, 1, 7, 13, 25, 49, 105, 255, 245, 153, 1093, 2123, 2823, 5125, 17483, 49003, 0};
static int joe_kuo_d6_initial_number03983[] = {1, 1, 1, 13, 31, 5, 7, 243, 255, 231, 1663, 1007, 7573, 405, 29183, 11367, 0};
static int joe_kuo_d6_initial_number03984[] = {1, 1, 5, 13, 15, 15, 115, 91, 63, 1013, 1713, 1945, 6397, 14213, 24417, 40807, 0};
static int joe_kuo_d6_initial_number03985[] = {1, 1, 5, 3, 19, 49, 91, 25, 43, 601, 25, 2405, 1973, 629, 497, 12625, 0};
static int joe_kuo_d6_initial_number03986[] = {1, 1, 3, 5, 13, 45, 11, 81, 251, 545, 1155, 1409, 7187, 847, 2835, 32909, 0};
static int joe_kuo_d6_initial_number03987[] = {1, 3, 1, 13, 27, 57, 1, 103, 465, 809, 1727, 3721, 3347, 3791, 17247, 8377, 0};
static int joe_kuo_d6_initial_number03988[] = {1, 3, 3, 15, 25, 31, 91, 91, 119, 205, 1431, 703, 5327, 7323, 30415, 61955, 0};
static int joe_kuo_d6_initial_number03989[] = {1, 3, 5, 11, 19, 39, 79, 243, 109, 463, 1869, 2133, 4139, 10461, 14793, 24025, 0};
static int joe_kuo_d6_initial_number03990[] = {1, 3, 5, 7, 23, 41, 5, 7, 249, 3, 1743, 489, 4921, 397, 30955, 22207, 0};
static int joe_kuo_d6_initial_number03991[] = {1, 3, 5, 15, 3, 7, 115, 19, 217, 231, 1183, 3723, 5055, 12967, 7855, 5067, 0};
static int joe_kuo_d6_initial_number03992[] = {1, 3, 3, 3, 11, 31, 113, 41, 429, 797, 557, 1199, 1819, 1933, 9917, 32229, 0};
static int joe_kuo_d6_initial_number03993[] = {1, 1, 5, 3, 13, 63, 31, 183, 465, 915, 723, 3227, 4125, 2813, 26313, 34287, 0};
static int joe_kuo_d6_initial_number03994[] = {1, 1, 7, 5, 31, 55, 117, 243, 37, 885, 85, 1067, 3895, 15655, 28527, 32109, 0};
static int joe_kuo_d6_initial_number03995[] = {1, 3, 7, 15, 17, 43, 43, 173, 119, 187, 1161, 599, 4595, 1681, 11981, 681, 0};
static int joe_kuo_d6_initial_number03996[] = {1, 1, 7, 7, 29, 47, 25, 93, 411, 103, 783, 1029, 1927, 3569, 27647, 8281, 0};
static int joe_kuo_d6_initial_number03997[] = {1, 3, 3, 9, 19, 57, 31, 183, 141, 889, 157, 2267, 5701, 6273, 25739, 34039, 0};
static int joe_kuo_d6_initial_number03998[] = {1, 3, 5, 1, 29, 35, 105, 165, 505, 299, 1149, 2397, 2013, 11591, 15917, 4791, 0};
static int joe_kuo_d6_initial_number03999[] = {1, 3, 3, 9, 7, 35, 47, 77, 69, 335, 585, 1131, 531, 8597, 307, 55985, 0};
static int joe_kuo_d6_initial_number04000[] = {1, 3, 7, 1, 29, 9, 25, 155, 149, 845, 567, 3735, 3501, 9365, 12025, 19131, 0};
static int joe_kuo_d6_initial_number04001[] = {1, 3, 5, 3, 11, 31, 25, 9, 411, 519, 1611, 1441, 1487, 10049, 14373, 24605, 0};
static int joe_kuo_d6_initial_number04002[] = {1, 3, 3, 5, 3, 7, 101, 107, 339, 155, 1843, 2529, 443, 8177, 28655, 8151, 0};
static int joe_kuo_d6_initial_number04003[] = {1, 1, 7, 5, 29, 37, 73, 131, 125, 451, 947, 797, 5053, 10155, 30801, 27235, 0};
static int joe_kuo_d6_initial_number04004[] = {1, 1, 7, 13, 19, 47, 101, 45, 495, 457, 1293, 1971, 5495, 12737, 17687, 26123, 0};
static int joe_kuo_d6_initial_number04005[] = {1, 1, 7, 7, 11, 11, 75, 177, 251, 553, 1883, 3379, 1429, 12227, 10301, 16467, 0};
static int joe_kuo_d6_initial_number04006[] = {1, 3, 3, 9, 3, 61, 95, 35, 97, 551, 233, 2045, 4873, 9109, 10019, 64523, 0};
static int joe_kuo_d6_initial_number04007[] = {1, 3, 1, 5, 11, 3, 15, 177, 301, 573, 2029, 191, 5551, 12083, 27287, 57235, 0};
static int joe_kuo_d6_initial_number04008[] = {1, 3, 5, 1, 21, 9, 121, 169, 347, 187, 57, 3163, 5609, 1921, 17581, 28351, 0};
static int joe_kuo_d6_initial_number04009[] = {1, 3, 3, 1, 31, 51, 15, 45, 429, 245, 573, 1595, 5343, 7519, 17009, 1299, 0};
static int joe_kuo_d6_initial_number04010[] = {1, 1, 7, 3, 13, 47, 109, 65, 389, 867, 963, 145, 1089, 9749, 19625, 43121, 0};
static int joe_kuo_d6_initial_number04011[] = {1, 3, 1, 7, 21, 61, 77, 67, 143, 579, 625, 2007, 6343, 4259, 21233, 237, 0};
static int joe_kuo_d6_initial_number04012[] = {1, 3, 5, 9, 27, 15, 107, 91, 399, 895, 645, 2301, 439, 6789, 18299, 47285, 0};
static int joe_kuo_d6_initial_number04013[] = {1, 3, 3, 5, 13, 11, 43, 199, 505, 409, 25, 2057, 479, 6031, 9561, 51613, 0};
static int joe_kuo_d6_initial_number04014[] = {1, 1, 7, 13, 15, 55, 105, 53, 171, 925, 1849, 2881, 6951, 13069, 865, 41019, 0};
static int joe_kuo_d6_initial_number04015[] = {1, 3, 1, 9, 17, 31, 45, 23, 411, 185, 189, 2123, 2583, 12713, 12681, 2231, 0};
static int joe_kuo_d6_initial_number04016[] = {1, 3, 7, 9, 3, 63, 11, 253, 177, 127, 545, 3293, 4449, 15995, 10223, 33529, 0};
static int joe_kuo_d6_initial_number04017[] = {1, 1, 5, 11, 13, 7, 53, 161, 421, 551, 697, 627, 3879, 1639, 24419, 3337, 0};
static int joe_kuo_d6_initial_number04018[] = {1, 1, 7, 7, 27, 7, 37, 205, 429, 407, 1133, 3563, 2921, 6173, 11173, 3009, 0};
static int joe_kuo_d6_initial_number04019[] = {1, 3, 3, 15, 31, 39, 117, 81, 337, 729, 567, 2299, 1481, 3189, 1795, 40299, 0};
static int joe_kuo_d6_initial_number04020[] = {1, 3, 5, 15, 15, 47, 91, 127, 275, 55, 951, 3423, 2879, 6115, 1549, 2287, 0};
static int joe_kuo_d6_initial_number04021[] = {1, 3, 3, 11, 17, 3, 127, 207, 141, 889, 185, 1095, 4567, 1371, 30545, 54445, 0};
static int joe_kuo_d6_initial_number04022[] = {1, 1, 7, 3, 25, 11, 11, 139, 43, 1, 1977, 397, 5775, 6913, 13249, 46767, 0};
static int joe_kuo_d6_initial_number04023[] = {1, 1, 7, 7, 27, 13, 31, 251, 191, 1015, 161, 3719, 5321, 13013, 25187, 51881, 0};
static int joe_kuo_d6_initial_number04024[] = {1, 1, 1, 1, 3, 3, 13, 19, 423, 349, 1955, 2103, 6395, 3315, 23809, 25925, 0};
static int joe_kuo_d6_initial_number04025[] = {1, 3, 5, 13, 3, 59, 41, 167, 423, 93, 1299, 2623, 5829, 8537, 8701, 43757, 0};
static int joe_kuo_d6_initial_number04026[] = {1, 3, 5, 11, 9, 19, 127, 119, 329, 819, 7, 3809, 5305, 3643, 27369, 61827, 0};
static int joe_kuo_d6_initial_number04027[] = {1, 3, 1, 15, 25, 43, 55, 159, 205, 911, 983, 2825, 3751, 7845, 12023, 18431, 0};
static int joe_kuo_d6_initial_number04028[] = {1, 3, 3, 13, 11, 1, 65, 133, 479, 181, 679, 981, 3317, 6241, 11693, 9619, 0};
static int joe_kuo_d6_initial_number04029[] = {1, 3, 3, 3, 21, 25, 117, 183, 127, 73, 703, 1469, 257, 11229, 10167, 50847, 0};
static int joe_kuo_d6_initial_number04030[] = {1, 1, 5, 13, 5, 5, 113, 15, 231, 269, 989, 465, 3267, 15239, 29503, 42855, 0};
static int joe_kuo_d6_initial_number04031[] = {1, 3, 3, 15, 9, 63, 79, 27, 21, 709, 1969, 3761, 1015, 13619, 4205, 40591, 0};
static int joe_kuo_d6_initial_number04032[] = {1, 1, 7, 11, 29, 3, 5, 45, 107, 131, 1287, 3551, 849, 2003, 27451, 47103, 0};
static int joe_kuo_d6_initial_number04033[] = {1, 3, 5, 11, 3, 47, 59, 53, 369, 249, 915, 2475, 7539, 763, 7063, 63971, 0};
static int joe_kuo_d6_initial_number04034[] = {1, 1, 5, 1, 7, 53, 45, 127, 321, 341, 635, 2277, 1383, 10951, 29055, 45087, 0};
static int joe_kuo_d6_initial_number04035[] = {1, 3, 7, 3, 5, 1, 119, 79, 487, 93, 25, 491, 4085, 6403, 27779, 8753, 0};
static int joe_kuo_d6_initial_number04036[] = {1, 1, 1, 3, 9, 59, 49, 141, 323, 703, 1175, 423, 4323, 10083, 4289, 28931, 0};
static int joe_kuo_d6_initial_number04037[] = {1, 3, 3, 15, 31, 31, 73, 15, 187, 653, 91, 1707, 1431, 9861, 19071, 8137, 0};
static int joe_kuo_d6_initial_number04038[] = {1, 1, 1, 5, 27, 63, 93, 1, 329, 353, 863, 473, 7681, 10653, 15819, 8495, 0};
static int joe_kuo_d6_initial_number04039[] = {1, 1, 1, 5, 25, 57, 119, 167, 219, 319, 231, 1065, 6217, 5131, 1513, 49281, 0};
static int joe_kuo_d6_initial_number04040[] = {1, 3, 7, 3, 17, 3, 113, 91, 201, 179, 1907, 3423, 821, 12927, 24827, 49403, 0};
static int joe_kuo_d6_initial_number04041[] = {1, 1, 5, 7, 19, 63, 75, 151, 387, 489, 777, 2049, 1151, 1351, 25687, 4143, 0};
static int joe_kuo_d6_initial_number04042[] = {1, 3, 5, 7, 9, 37, 9, 3, 87, 385, 1667, 2139, 7527, 16133, 30023, 28783, 0};
static int joe_kuo_d6_initial_number04043[] = {1, 1, 5, 9, 11, 55, 95, 73, 413, 867, 589, 2901, 3021, 413, 5955, 38921, 0};
static int joe_kuo_d6_initial_number04044[] = {1, 3, 5, 15, 1, 17, 17, 7, 485, 323, 519, 2325, 2255, 4211, 20661, 28931, 0};
static int joe_kuo_d6_initial_number04045[] = {1, 1, 5, 13, 21, 19, 85, 189, 167, 645, 1475, 3095, 7123, 3351, 7961, 20967, 0};
static int joe_kuo_d6_initial_number04046[] = {1, 1, 7, 13, 3, 47, 13, 213, 237, 291, 285, 1465, 1765, 12361, 32651, 54205, 0};
static int joe_kuo_d6_initial_number04047[] = {1, 3, 7, 13, 13, 27, 71, 35, 67, 117, 647, 2359, 3295, 8445, 24761, 29379, 0};
static int joe_kuo_d6_initial_number04048[] = {1, 1, 1, 3, 3, 19, 23, 37, 5, 1019, 5, 1605, 2291, 14015, 9311, 39751, 0};
static int joe_kuo_d6_initial_number04049[] = {1, 3, 3, 3, 31, 1, 65, 159, 221, 675, 1061, 971, 2333, 8265, 14361, 3263, 0};
static int joe_kuo_d6_initial_number04050[] = {1, 1, 3, 7, 3, 5, 81, 17, 101, 991, 753, 2883, 4977, 4409, 1757, 26803, 0};
static int joe_kuo_d6_initial_number04051[] = {1, 1, 5, 9, 13, 25, 45, 43, 199, 967, 829, 713, 4547, 7223, 6497, 53895, 0};
static int joe_kuo_d6_initial_number04052[] = {1, 1, 7, 5, 23, 15, 89, 179, 509, 147, 315, 133, 111, 15577, 23427, 5229, 0};
static int joe_kuo_d6_initial_number04053[] = {1, 3, 3, 7, 27, 7, 113, 65, 315, 135, 1309, 1179, 5755, 7513, 6815, 5137, 0};
static int joe_kuo_d6_initial_number04054[] = {1, 1, 3, 7, 1, 13, 29, 155, 477, 721, 71, 865, 3897, 3331, 30641, 65471, 0};
static int joe_kuo_d6_initial_number04055[] = {1, 1, 7, 3, 29, 45, 83, 3, 461, 109, 1545, 1365, 6633, 16137, 23859, 5995, 0};
static int joe_kuo_d6_initial_number04056[] = {1, 3, 1, 1, 3, 33, 77, 83, 459, 187, 879, 3731, 6939, 6707, 23409, 24245, 0};
static int joe_kuo_d6_initial_number04057[] = {1, 3, 5, 5, 13, 43, 127, 41, 29, 735, 1391, 2947, 4873, 4627, 15, 41719, 0};
static int joe_kuo_d6_initial_number04058[] = {1, 3, 1, 3, 17, 17, 51, 93, 189, 227, 449, 2809, 825, 2009, 9563, 41435, 0};
static int joe_kuo_d6_initial_number04059[] = {1, 3, 3, 11, 25, 47, 113, 173, 141, 919, 677, 117, 5293, 815, 23749, 19789, 0};
static int joe_kuo_d6_initial_number04060[] = {1, 1, 1, 13, 15, 61, 121, 223, 53, 389, 489, 1527, 4771, 8975, 8005, 14275, 0};
static int joe_kuo_d6_initial_number04061[] = {1, 1, 3, 15, 31, 57, 111, 145, 279, 991, 489, 3239, 7647, 473, 31279, 33447, 0};
static int joe_kuo_d6_initial_number04062[] = {1, 1, 7, 5, 31, 13, 75, 185, 395, 611, 609, 159, 7931, 9887, 4115, 53121, 0};
static int joe_kuo_d6_initial_number04063[] = {1, 3, 5, 5, 13, 39, 103, 237, 77, 913, 511, 1583, 6763, 14523, 4247, 63403, 0};
static int joe_kuo_d6_initial_number04064[] = {1, 1, 1, 15, 11, 5, 43, 43, 297, 827, 747, 5, 3785, 15021, 11291, 36743, 0};
static int joe_kuo_d6_initial_number04065[] = {1, 1, 7, 9, 9, 53, 113, 95, 403, 53, 1335, 4033, 8147, 11963, 6523, 23675, 0};
static int joe_kuo_d6_initial_number04066[] = {1, 1, 5, 9, 27, 29, 69, 79, 327, 409, 1147, 1579, 2625, 12227, 30933, 9057, 0};
static int joe_kuo_d6_initial_number04067[] = {1, 1, 1, 7, 1, 33, 29, 173, 5, 517, 437, 2035, 57, 12825, 22095, 65519, 0};
static int joe_kuo_d6_initial_number04068[] = {1, 1, 3, 7, 27, 29, 53, 79, 429, 707, 589, 2605, 339, 7039, 19319, 17649, 0};
static int joe_kuo_d6_initial_number04069[] = {1, 3, 3, 11, 9, 57, 43, 117, 39, 193, 1427, 2553, 6877, 7653, 29041, 44865, 0};
static int joe_kuo_d6_initial_number04070[] = {1, 3, 3, 7, 23, 45, 29, 151, 265, 739, 365, 3565, 6447, 9761, 24021, 679, 0};
static int joe_kuo_d6_initial_number04071[] = {1, 3, 5, 1, 1, 43, 73, 55, 131, 175, 959, 659, 7315, 15145, 18301, 14865, 0};
static int joe_kuo_d6_initial_number04072[] = {1, 1, 3, 5, 15, 15, 91, 113, 359, 241, 1627, 1069, 1761, 211, 32671, 58833, 0};
static int joe_kuo_d6_initial_number04073[] = {1, 3, 3, 7, 29, 27, 79, 53, 409, 81, 693, 3137, 7385, 11007, 28459, 28621, 0};
static int joe_kuo_d6_initial_number04074[] = {1, 1, 7, 5, 29, 7, 67, 195, 77, 773, 1361, 2153, 4459, 7301, 5129, 17797, 0};
static int joe_kuo_d6_initial_number04075[] = {1, 3, 3, 7, 25, 27, 91, 223, 115, 91, 1645, 2167, 1955, 9601, 22127, 13055, 0};
static int joe_kuo_d6_initial_number04076[] = {1, 3, 7, 3, 27, 53, 67, 249, 51, 151, 663, 3231, 895, 6777, 3037, 56755, 0};
static int joe_kuo_d6_initial_number04077[] = {1, 1, 5, 1, 25, 63, 71, 179, 375, 301, 1127, 2125, 783, 14481, 7293, 47883, 0};
static int joe_kuo_d6_initial_number04078[] = {1, 1, 3, 9, 25, 3, 39, 69, 1, 85, 1271, 1571, 1953, 5077, 20369, 44827, 0};
static int joe_kuo_d6_initial_number04079[] = {1, 3, 1, 13, 11, 61, 77, 59, 127, 475, 1609, 3553, 2553, 15589, 9351, 59787, 0};
static int joe_kuo_d6_initial_number04080[] = {1, 3, 1, 5, 21, 7, 61, 27, 199, 653, 1243, 2481, 5369, 12903, 30229, 39453, 0};
static int joe_kuo_d6_initial_number04081[] = {1, 3, 7, 3, 13, 15, 107, 153, 501, 573, 863, 3179, 6019, 15177, 16075, 43767, 0};
static int joe_kuo_d6_initial_number04082[] = {1, 1, 7, 1, 23, 55, 17, 35, 5, 137, 1707, 1377, 6857, 15361, 27299, 61871, 0};
static int joe_kuo_d6_initial_number04083[] = {1, 3, 5, 7, 27, 17, 87, 213, 95, 125, 1239, 3923, 4193, 11049, 12783, 45017, 0};
static int joe_kuo_d6_initial_number04084[] = {1, 1, 5, 15, 9, 55, 11, 217, 7, 249, 369, 205, 4251, 13785, 24781, 48929, 0};
static int joe_kuo_d6_initial_number04085[] = {1, 3, 7, 1, 15, 35, 33, 107, 503, 563, 1591, 3487, 7495, 1767, 24791, 31281, 0};
static int joe_kuo_d6_initial_number04086[] = {1, 3, 1, 11, 3, 15, 47, 193, 289, 253, 909, 1105, 5119, 1415, 7737, 4341, 0};
static int joe_kuo_d6_initial_number04087[] = {1, 1, 1, 3, 23, 33, 53, 187, 469, 573, 835, 2049, 791, 1177, 31051, 30955, 0};
static int joe_kuo_d6_initial_number04088[] = {1, 3, 3, 11, 15, 51, 77, 143, 369, 991, 1103, 1293, 6019, 6361, 26301, 20741, 0};
static int joe_kuo_d6_initial_number04089[] = {1, 1, 1, 5, 17, 19, 85, 135, 113, 593, 579, 1063, 7173, 2491, 9355, 19223, 0};
static int joe_kuo_d6_initial_number04090[] = {1, 1, 5, 15, 25, 51, 107, 193, 31, 1, 1693, 125, 6223, 14619, 22683, 26321, 0};
static int joe_kuo_d6_initial_number04091[] = {1, 1, 7, 1, 17, 45, 87, 39, 87, 499, 1185, 2763, 3989, 2863, 24555, 33817, 0};
static int joe_kuo_d6_initial_number04092[] = {1, 3, 1, 11, 31, 5, 121, 231, 185, 793, 255, 2785, 5261, 3687, 21711, 3941, 0};
static int joe_kuo_d6_initial_number04093[] = {1, 3, 7, 15, 5, 59, 73, 227, 365, 937, 893, 2155, 4385, 14345, 6813, 28461, 0};
static int joe_kuo_d6_initial_number04094[] = {1, 1, 5, 7, 7, 23, 7, 239, 431, 45, 1015, 1663, 1893, 5035, 24075, 2119, 0};
static int joe_kuo_d6_initial_number04095[] = {1, 3, 5, 1, 3, 15, 63, 103, 119, 801, 1681, 3463, 6083, 6453, 11379, 8205, 0};
static int joe_kuo_d6_initial_number04096[] = {1, 3, 7, 9, 21, 61, 9, 9, 433, 541, 603, 3905, 3787, 10187, 3643, 21319, 0};
static int joe_kuo_d6_initial_number04097[] = {1, 3, 5, 3, 11, 1, 101, 243, 363, 559, 561, 1163, 455, 4657, 1147, 39961, 0};
static int joe_kuo_d6_initial_number04098[] = {1, 3, 5, 13, 17, 37, 57, 47, 483, 571, 1579, 1137, 8125, 12271, 23279, 1615, 0};
static int joe_kuo_d6_initial_number04099[] = {1, 3, 5, 1, 21, 5, 13, 155, 75, 705, 389, 2855, 6345, 2279, 12627, 49451, 0};
static int joe_kuo_d6_initial_number04100[] = {1, 1, 3, 9, 15, 51, 73, 99, 445, 227, 1705, 2175, 8111, 9381, 31555, 48491, 0};
static int joe_kuo_d6_initial_number04101[] = {1, 3, 3, 5, 9, 63, 107, 51, 461, 979, 1033, 421, 4807, 11707, 13261, 26015, 0};
static int joe_kuo_d6_initial_number04102[] = {1, 1, 5, 3, 13, 53, 117, 249, 57, 851, 1391, 3245, 35, 16043, 24399, 63667, 0};
static int joe_kuo_d6_initial_number04103[] = {1, 3, 1, 11, 23, 33, 57, 125, 385, 495, 871, 199, 4269, 2269, 22897, 23597, 0};
static int joe_kuo_d6_initial_number04104[] = {1, 3, 5, 15, 29, 11, 77, 21, 479, 369, 723, 3721, 1121, 9463, 19775, 54525, 0};
static int joe_kuo_d6_initial_number04105[] = {1, 3, 5, 7, 7, 45, 29, 153, 395, 223, 1917, 3713, 5087, 10827, 1383, 36823, 0};
static int joe_kuo_d6_initial_number04106[] = {1, 3, 1, 3, 31, 19, 111, 55, 275, 923, 917, 2925, 673, 6579, 18783, 5137, 0};
static int joe_kuo_d6_initial_number04107[] = {1, 3, 1, 15, 25, 31, 59, 255, 31, 697, 1751, 381, 299, 295, 14037, 40953, 0};
static int joe_kuo_d6_initial_number04108[] = {1, 3, 1, 7, 15, 23, 69, 219, 351, 183, 1083, 2227, 6249, 9385, 13167, 2901, 0};
static int joe_kuo_d6_initial_number04109[] = {1, 3, 7, 1, 5, 61, 117, 13, 67, 521, 41, 2929, 3937, 1215, 25593, 32627, 0};
static int joe_kuo_d6_initial_number04110[] = {1, 3, 5, 1, 9, 47, 63, 39, 371, 657, 491, 2243, 4049, 10517, 12409, 40597, 0};
static int joe_kuo_d6_initial_number04111[] = {1, 3, 7, 15, 17, 3, 77, 13, 275, 225, 487, 2055, 1293, 15927, 31773, 18275, 0};
static int joe_kuo_d6_initial_number04112[] = {1, 1, 5, 13, 11, 57, 113, 27, 191, 363, 1341, 3487, 8031, 13801, 7563, 40675, 0};
static int joe_kuo_d6_initial_number04113[] = {1, 1, 3, 3, 27, 31, 103, 143, 271, 305, 2033, 3623, 4219, 9307, 7501, 8959, 0};
static int joe_kuo_d6_initial_number04114[] = {1, 1, 1, 13, 1, 3, 27, 97, 475, 143, 333, 2997, 1807, 4231, 27437, 59717, 0};
static int joe_kuo_d6_initial_number04115[] = {1, 3, 7, 5, 5, 3, 69, 233, 309, 511, 1429, 1887, 2745, 4969, 17595, 5451, 0};
static int joe_kuo_d6_initial_number04116[] = {1, 1, 7, 3, 23, 17, 115, 89, 265, 467, 257, 2027, 5331, 1195, 4451, 8621, 0};
static int joe_kuo_d6_initial_number04117[] = {1, 1, 7, 13, 29, 35, 117, 155, 99, 327, 853, 3595, 2997, 10745, 21619, 26549, 0};
static int joe_kuo_d6_initial_number04118[] = {1, 3, 3, 13, 1, 13, 75, 151, 67, 271, 1609, 1117, 4293, 4645, 12005, 55983, 0};
static int joe_kuo_d6_initial_number04119[] = {1, 1, 1, 13, 1, 61, 101, 63, 161, 261, 1759, 567, 665, 2339, 9157, 55603, 0};
static int joe_kuo_d6_initial_number04120[] = {1, 1, 7, 11, 25, 19, 71, 27, 255, 435, 227, 4087, 4309, 14903, 14513, 30207, 0};
static int joe_kuo_d6_initial_number04121[] = {1, 3, 3, 3, 11, 41, 1, 67, 383, 403, 45, 1521, 1535, 3353, 27361, 7549, 0};
static int joe_kuo_d6_initial_number04122[] = {1, 1, 1, 1, 13, 51, 31, 137, 147, 907, 19, 3639, 3739, 877, 15005, 60357, 0};
static int joe_kuo_d6_initial_number04123[] = {1, 1, 3, 11, 11, 23, 29, 173, 105, 873, 1727, 2761, 2015, 7491, 17491, 41065, 0};
static int joe_kuo_d6_initial_number04124[] = {1, 1, 5, 3, 31, 1, 119, 53, 11, 731, 393, 4031, 4421, 15715, 6431, 18089, 0};
static int joe_kuo_d6_initial_number04125[] = {1, 1, 3, 5, 15, 37, 55, 147, 307, 521, 711, 3085, 5989, 8081, 23351, 35259, 0};
static int joe_kuo_d6_initial_number04126[] = {1, 3, 5, 13, 21, 19, 47, 107, 447, 713, 1655, 2809, 4741, 2105, 9255, 103, 0};
static int joe_kuo_d6_initial_number04127[] = {1, 3, 1, 3, 17, 47, 63, 125, 343, 763, 1777, 607, 5625, 9517, 7221, 27257, 0};
static int joe_kuo_d6_initial_number04128[] = {1, 1, 7, 5, 31, 13, 67, 255, 41, 947, 99, 721, 7367, 11427, 1357, 12383, 0};
static int joe_kuo_d6_initial_number04129[] = {1, 1, 7, 3, 23, 27, 73, 185, 189, 545, 1877, 3169, 5419, 15873, 29059, 23983, 0};
static int joe_kuo_d6_initial_number04130[] = {1, 1, 3, 1, 5, 13, 81, 45, 79, 717, 819, 3539, 7561, 7319, 5113, 27273, 0};
static int joe_kuo_d6_initial_number04131[] = {1, 3, 7, 9, 21, 25, 71, 247, 41, 583, 771, 3745, 1883, 5717, 755, 14549, 0};
static int joe_kuo_d6_initial_number04132[] = {1, 1, 3, 7, 23, 25, 87, 143, 499, 515, 1753, 1229, 173, 10629, 30579, 29643, 0};
static int joe_kuo_d6_initial_number04133[] = {1, 3, 1, 13, 29, 33, 31, 69, 503, 117, 1717, 101, 7647, 1567, 28677, 3079, 0};
static int joe_kuo_d6_initial_number04134[] = {1, 3, 1, 15, 29, 45, 57, 81, 171, 813, 505, 3647, 3913, 5557, 2477, 42429, 0};
static int joe_kuo_d6_initial_number04135[] = {1, 1, 5, 13, 21, 13, 81, 5, 471, 221, 1563, 1741, 7269, 16327, 22687, 5291, 0};
static int joe_kuo_d6_initial_number04136[] = {1, 3, 5, 3, 23, 41, 107, 61, 95, 79, 467, 1533, 739, 6791, 26911, 20309, 0};
static int joe_kuo_d6_initial_number04137[] = {1, 3, 7, 7, 3, 53, 71, 163, 459, 975, 687, 1115, 5241, 299, 26361, 38583, 0};
static int joe_kuo_d6_initial_number04138[] = {1, 3, 1, 9, 3, 63, 7, 133, 421, 325, 823, 1175, 6201, 5707, 31539, 34645, 0};
static int joe_kuo_d6_initial_number04139[] = {1, 3, 7, 5, 27, 27, 107, 239, 247, 257, 1367, 3685, 7839, 11693, 3237, 13085, 0};
static int joe_kuo_d6_initial_number04140[] = {1, 1, 1, 3, 27, 41, 51, 69, 271, 809, 1453, 519, 1301, 2367, 637, 5267, 0};
static int joe_kuo_d6_initial_number04141[] = {1, 3, 7, 13, 19, 17, 3, 69, 369, 447, 1685, 4075, 6143, 11387, 5411, 29825, 0};
static int joe_kuo_d6_initial_number04142[] = {1, 1, 3, 1, 25, 61, 79, 163, 1, 905, 1969, 2735, 7709, 16121, 20441, 4543, 0};
static int joe_kuo_d6_initial_number04143[] = {1, 3, 7, 5, 15, 29, 7, 245, 343, 803, 1719, 3993, 983, 2925, 10393, 6053, 0};
static int joe_kuo_d6_initial_number04144[] = {1, 3, 1, 7, 17, 55, 63, 29, 441, 387, 885, 3269, 1977, 1927, 3657, 47043, 0};
static int joe_kuo_d6_initial_number04145[] = {1, 1, 3, 1, 17, 59, 51, 9, 173, 327, 1185, 3241, 3785, 10907, 19429, 22209, 0};
static int joe_kuo_d6_initial_number04146[] = {1, 1, 3, 13, 21, 57, 125, 5, 359, 437, 1231, 2441, 5813, 9991, 283, 52555, 0};
static int joe_kuo_d6_initial_number04147[] = {1, 3, 1, 7, 15, 19, 39, 125, 405, 381, 1757, 4075, 5565, 2065, 295, 8867, 0};
static int joe_kuo_d6_initial_number04148[] = {1, 3, 3, 11, 7, 33, 95, 19, 253, 141, 1093, 1787, 7495, 5229, 15923, 44157, 0};
static int joe_kuo_d6_initial_number04149[] = {1, 3, 7, 15, 1, 49, 69, 163, 85, 345, 901, 2329, 8003, 9915, 2209, 33979, 0};
static int joe_kuo_d6_initial_number04150[] = {1, 1, 1, 9, 23, 51, 125, 163, 257, 681, 565, 945, 6375, 8679, 5985, 28919, 0};
static int joe_kuo_d6_initial_number04151[] = {1, 3, 5, 7, 11, 23, 123, 231, 377, 121, 1519, 2061, 2957, 14537, 17625, 37773, 0};
static int joe_kuo_d6_initial_number04152[] = {1, 3, 5, 1, 17, 43, 89, 119, 455, 279, 1857, 3405, 5225, 13035, 6055, 30861, 0};
static int joe_kuo_d6_initial_number04153[] = {1, 3, 7, 15, 31, 63, 25, 225, 3, 527, 355, 1435, 5763, 15203, 26579, 45659, 0};
static int joe_kuo_d6_initial_number04154[] = {1, 1, 1, 3, 27, 43, 71, 193, 135, 5, 683, 925, 7023, 7711, 2807, 56003, 0};
static int joe_kuo_d6_initial_number04155[] = {1, 1, 1, 11, 3, 3, 109, 29, 109, 683, 419, 3295, 1961, 5953, 8887, 1523, 0};
static int joe_kuo_d6_initial_number04156[] = {1, 3, 3, 11, 17, 39, 19, 225, 103, 249, 81, 3875, 4515, 3969, 24745, 60031, 0};
static int joe_kuo_d6_initial_number04157[] = {1, 1, 3, 3, 3, 23, 15, 149, 305, 399, 1347, 1001, 597, 10003, 22123, 29919, 0};
static int joe_kuo_d6_initial_number04158[] = {1, 3, 5, 1, 23, 35, 123, 7, 283, 283, 759, 3061, 2011, 7771, 32201, 40667, 0};
static int joe_kuo_d6_initial_number04159[] = {1, 3, 7, 15, 23, 5, 81, 51, 357, 79, 133, 285, 425, 7743, 13499, 18983, 0};
static int joe_kuo_d6_initial_number04160[] = {1, 3, 3, 5, 17, 37, 75, 221, 473, 111, 335, 683, 7353, 2283, 13457, 61171, 0};
static int joe_kuo_d6_initial_number04161[] = {1, 3, 1, 7, 13, 45, 13, 223, 149, 209, 727, 3553, 2573, 177, 855, 44139, 0};
static int joe_kuo_d6_initial_number04162[] = {1, 1, 3, 15, 23, 5, 103, 139, 17, 29, 1961, 3021, 5745, 12963, 30669, 44171, 0};
static int joe_kuo_d6_initial_number04163[] = {1, 3, 1, 1, 3, 33, 67, 203, 29, 785, 71, 1693, 4487, 10221, 24523, 51223, 0};
static int joe_kuo_d6_initial_number04164[] = {1, 1, 5, 7, 7, 27, 17, 183, 229, 669, 1675, 3751, 3233, 10677, 7509, 52313, 0};
static int joe_kuo_d6_initial_number04165[] = {1, 1, 5, 5, 25, 35, 21, 163, 483, 399, 195, 3465, 6349, 545, 18861, 31759, 0};
static int joe_kuo_d6_initial_number04166[] = {1, 3, 1, 5, 15, 39, 13, 157, 71, 841, 447, 3625, 53, 12745, 2719, 27617, 0};
static int joe_kuo_d6_initial_number04167[] = {1, 1, 5, 5, 3, 45, 113, 121, 263, 887, 709, 2189, 3811, 1409, 10451, 48777, 0};
static int joe_kuo_d6_initial_number04168[] = {1, 1, 5, 15, 9, 41, 31, 95, 377, 215, 437, 3633, 433, 11935, 15283, 55451, 0};
static int joe_kuo_d6_initial_number04169[] = {1, 1, 7, 7, 13, 23, 79, 3, 451, 409, 1103, 1771, 553, 3175, 28703, 49357, 0};
static int joe_kuo_d6_initial_number04170[] = {1, 3, 1, 1, 13, 33, 95, 133, 419, 851, 955, 3985, 5869, 14219, 253, 46883, 0};
static int joe_kuo_d6_initial_number04171[] = {1, 3, 3, 3, 23, 55, 91, 207, 281, 355, 361, 261, 6837, 4401, 25455, 25313, 0};
static int joe_kuo_d6_initial_number04172[] = {1, 3, 5, 9, 27, 9, 107, 51, 69, 555, 835, 3541, 1827, 5737, 31225, 55619, 0};
static int joe_kuo_d6_initial_number04173[] = {1, 1, 1, 11, 27, 51, 79, 85, 447, 447, 9, 2803, 377, 4347, 2183, 61257, 0};
static int joe_kuo_d6_initial_number04174[] = {1, 1, 1, 3, 23, 21, 51, 217, 297, 135, 573, 689, 4947, 14143, 26247, 43061, 0};
static int joe_kuo_d6_initial_number04175[] = {1, 3, 1, 7, 15, 13, 27, 151, 463, 707, 43, 3641, 4999, 3783, 9083, 22085, 0};
static int joe_kuo_d6_initial_number04176[] = {1, 3, 3, 5, 3, 1, 15, 119, 343, 605, 105, 2939, 2259, 889, 21759, 34073, 0};
static int joe_kuo_d6_initial_number04177[] = {1, 1, 1, 7, 3, 63, 103, 1, 235, 317, 263, 2701, 7331, 15921, 17295, 613, 0};
static int joe_kuo_d6_initial_number04178[] = {1, 1, 7, 3, 19, 3, 5, 17, 105, 491, 755, 233, 5397, 12365, 16325, 59377, 0};
static int joe_kuo_d6_initial_number04179[] = {1, 3, 3, 15, 15, 27, 37, 151, 481, 949, 1473, 233, 1925, 15471, 24957, 3241, 0};
static int joe_kuo_d6_initial_number04180[] = {1, 1, 7, 5, 9, 61, 49, 91, 169, 179, 701, 3957, 473, 15087, 6109, 25083, 0};
static int joe_kuo_d6_initial_number04181[] = {1, 3, 3, 11, 27, 43, 5, 33, 69, 705, 733, 2675, 2677, 4235, 11109, 15557, 0};
static int joe_kuo_d6_initial_number04182[] = {1, 3, 1, 3, 17, 19, 101, 119, 289, 341, 1395, 563, 6859, 10359, 10077, 26905, 0};
static int joe_kuo_d6_initial_number04183[] = {1, 1, 1, 15, 21, 47, 41, 145, 439, 583, 1755, 1977, 5235, 15961, 21315, 60577, 0};
static int joe_kuo_d6_initial_number04184[] = {1, 1, 5, 3, 9, 59, 71, 143, 27, 1007, 313, 1567, 1685, 11063, 28889, 44253, 0};
static int joe_kuo_d6_initial_number04185[] = {1, 1, 5, 5, 29, 29, 43, 127, 13, 585, 1245, 187, 2697, 8791, 19561, 6463, 0};
static int joe_kuo_d6_initial_number04186[] = {1, 1, 3, 11, 29, 39, 127, 75, 23, 521, 421, 3115, 139, 5429, 23341, 58035, 0};
static int joe_kuo_d6_initial_number04187[] = {1, 1, 3, 1, 27, 35, 27, 9, 185, 653, 887, 2715, 3775, 1753, 22105, 62095, 0};
static int joe_kuo_d6_initial_number04188[] = {1, 1, 5, 5, 5, 63, 23, 31, 317, 1001, 1751, 1185, 7933, 525, 30501, 15565, 0};
static int joe_kuo_d6_initial_number04189[] = {1, 1, 1, 5, 9, 27, 79, 91, 453, 995, 1041, 3213, 8027, 5855, 7435, 64079, 0};
static int joe_kuo_d6_initial_number04190[] = {1, 1, 3, 11, 1, 51, 27, 195, 139, 41, 1891, 1437, 1033, 11671, 3235, 35083, 0};
static int joe_kuo_d6_initial_number04191[] = {1, 3, 1, 3, 11, 25, 33, 249, 373, 497, 1631, 293, 3657, 10741, 15831, 59545, 0};
static int joe_kuo_d6_initial_number04192[] = {1, 1, 1, 1, 15, 63, 13, 165, 113, 559, 1615, 3579, 1993, 1907, 22335, 47791, 0};
static int joe_kuo_d6_initial_number04193[] = {1, 1, 3, 15, 13, 49, 63, 235, 31, 811, 1729, 221, 5143, 11547, 30029, 52003, 0};
static int joe_kuo_d6_initial_number04194[] = {1, 1, 5, 13, 29, 61, 25, 221, 421, 221, 583, 373, 2341, 7493, 13981, 54141, 0};
static int joe_kuo_d6_initial_number04195[] = {1, 1, 5, 11, 21, 49, 71, 249, 237, 369, 1273, 1067, 4411, 409, 7219, 52933, 0};
static int joe_kuo_d6_initial_number04196[] = {1, 3, 1, 1, 13, 23, 53, 15, 137, 553, 401, 2247, 5591, 14021, 445, 20433, 0};
static int joe_kuo_d6_initial_number04197[] = {1, 1, 7, 7, 7, 23, 19, 189, 119, 643, 847, 2123, 5343, 11839, 4575, 60461, 0};
static int joe_kuo_d6_initial_number04198[] = {1, 1, 5, 5, 11, 19, 111, 219, 185, 499, 595, 723, 3519, 10891, 27603, 29261, 0};
static int joe_kuo_d6_initial_number04199[] = {1, 3, 3, 1, 9, 13, 95, 227, 459, 133, 1535, 3481, 7187, 14797, 16511, 6737, 0};
static int joe_kuo_d6_initial_number04200[] = {1, 1, 7, 7, 19, 57, 117, 7, 455, 941, 455, 797, 6313, 10071, 18651, 25013, 0};
static int joe_kuo_d6_initial_number04201[] = {1, 3, 7, 3, 25, 25, 79, 19, 383, 971, 1625, 2803, 2461, 633, 32317, 48407, 0};
static int joe_kuo_d6_initial_number04202[] = {1, 1, 7, 7, 25, 43, 93, 135, 155, 685, 2001, 3007, 7315, 15555, 30401, 36291, 0};
static int joe_kuo_d6_initial_number04203[] = {1, 1, 1, 5, 13, 33, 123, 221, 341, 105, 1075, 3125, 5323, 14293, 29875, 52215, 0};
static int joe_kuo_d6_initial_number04204[] = {1, 1, 3, 9, 29, 51, 25, 59, 171, 563, 1695, 2845, 6067, 10671, 2909, 33977, 0};
static int joe_kuo_d6_initial_number04205[] = {1, 3, 3, 7, 25, 21, 39, 65, 485, 949, 1773, 2775, 6019, 14587, 6715, 54793, 0};
static int joe_kuo_d6_initial_number04206[] = {1, 1, 7, 11, 17, 57, 125, 17, 111, 167, 289, 3939, 7357, 2289, 1717, 45225, 0};
static int joe_kuo_d6_initial_number04207[] = {1, 1, 7, 7, 21, 55, 3, 139, 471, 747, 1437, 1353, 7657, 13133, 14193, 38191, 0};
static int joe_kuo_d6_initial_number04208[] = {1, 3, 5, 7, 25, 57, 55, 17, 315, 159, 437, 933, 7493, 6025, 2775, 24287, 0};
static int joe_kuo_d6_initial_number04209[] = {1, 1, 7, 1, 15, 45, 67, 191, 355, 681, 1763, 1237, 105, 1425, 26089, 42879, 0};
static int joe_kuo_d6_initial_number04210[] = {1, 1, 5, 13, 13, 53, 25, 127, 103, 155, 935, 2561, 475, 4341, 30541, 43835, 0};
static int joe_kuo_d6_initial_number04211[] = {1, 1, 5, 15, 27, 59, 99, 173, 189, 41, 105, 3287, 4071, 15005, 18301, 34487, 0};
static int joe_kuo_d6_initial_number04212[] = {1, 1, 5, 11, 21, 9, 57, 115, 495, 561, 579, 397, 3049, 2007, 5041, 37345, 0};
static int joe_kuo_d6_initial_number04213[] = {1, 1, 5, 11, 15, 11, 101, 241, 69, 483, 1007, 4069, 5221, 5323, 20177, 24397, 0};
static int joe_kuo_d6_initial_number04214[] = {1, 1, 1, 7, 29, 15, 119, 161, 21, 517, 847, 2217, 4487, 4817, 24053, 21683, 0};
static int joe_kuo_d6_initial_number04215[] = {1, 3, 1, 3, 3, 51, 85, 63, 345, 799, 1699, 3961, 7109, 3931, 28173, 46851, 0};
static int joe_kuo_d6_initial_number04216[] = {1, 1, 5, 7, 15, 25, 97, 139, 331, 969, 1129, 2451, 3107, 12235, 12949, 29837, 0};
static int joe_kuo_d6_initial_number04217[] = {1, 3, 7, 1, 19, 21, 51, 155, 295, 565, 29, 2107, 341, 14611, 15281, 50727, 0};
static int joe_kuo_d6_initial_number04218[] = {1, 3, 1, 11, 3, 37, 13, 217, 429, 217, 301, 1217, 5655, 13845, 32465, 23559, 0};
static int joe_kuo_d6_initial_number04219[] = {1, 3, 3, 9, 9, 57, 79, 231, 433, 703, 699, 3813, 7035, 5885, 19185, 52551, 0};
static int joe_kuo_d6_initial_number04220[] = {1, 1, 1, 5, 19, 17, 31, 209, 49, 515, 279, 909, 5881, 2673, 23635, 23101, 0};
static int joe_kuo_d6_initial_number04221[] = {1, 1, 5, 7, 3, 3, 119, 139, 245, 775, 1009, 1157, 1405, 9737, 17671, 62981, 0};
static int joe_kuo_d6_initial_number04222[] = {1, 3, 7, 11, 17, 21, 105, 21, 67, 871, 233, 3607, 571, 9141, 9751, 28093, 0};
static int joe_kuo_d6_initial_number04223[] = {1, 1, 3, 13, 5, 53, 91, 181, 143, 375, 1113, 705, 837, 10505, 11459, 57753, 0};
static int joe_kuo_d6_initial_number04224[] = {1, 3, 5, 11, 9, 19, 107, 229, 305, 107, 1027, 691, 4677, 8987, 7931, 951, 0};
static int joe_kuo_d6_initial_number04225[] = {1, 1, 7, 9, 9, 17, 39, 195, 103, 315, 517, 123, 7167, 7039, 3571, 40469, 0};
static int joe_kuo_d6_initial_number04226[] = {1, 1, 1, 5, 1, 21, 121, 53, 427, 111, 717, 1065, 2843, 5873, 28411, 42443, 0};
static int joe_kuo_d6_initial_number04227[] = {1, 1, 3, 11, 27, 7, 37, 255, 429, 363, 997, 2429, 6871, 1271, 29375, 62897, 0};
static int joe_kuo_d6_initial_number04228[] = {1, 3, 3, 13, 23, 23, 123, 119, 213, 51, 771, 1603, 1621, 1497, 23667, 13443, 0};
static int joe_kuo_d6_initial_number04229[] = {1, 1, 3, 13, 17, 21, 81, 17, 211, 815, 1751, 3875, 4001, 3927, 6185, 28753, 0};
static int joe_kuo_d6_initial_number04230[] = {1, 3, 1, 5, 13, 41, 23, 187, 475, 353, 1307, 543, 5077, 3459, 20553, 29119, 0};
static int joe_kuo_d6_initial_number04231[] = {1, 1, 1, 7, 1, 39, 3, 247, 375, 101, 81, 1515, 1079, 15307, 18865, 63115, 0};
static int joe_kuo_d6_initial_number04232[] = {1, 1, 5, 9, 23, 7, 61, 45, 379, 553, 435, 1805, 4147, 2289, 22081, 40041, 0};
static int joe_kuo_d6_initial_number04233[] = {1, 1, 7, 3, 17, 13, 107, 169, 119, 981, 1825, 3329, 7779, 12245, 28367, 6749, 0};
static int joe_kuo_d6_initial_number04234[] = {1, 3, 3, 13, 29, 13, 93, 155, 331, 507, 1073, 279, 6615, 14077, 3005, 10171, 0};
static int joe_kuo_d6_initial_number04235[] = {1, 1, 5, 7, 29, 23, 81, 181, 321, 921, 1531, 2607, 7291, 1255, 29889, 30095, 0};
static int joe_kuo_d6_initial_number04236[] = {1, 1, 1, 5, 7, 1, 9, 231, 203, 559, 243, 3999, 3649, 7939, 14729, 34771, 0};
static int joe_kuo_d6_initial_number04237[] = {1, 3, 7, 3, 17, 29, 79, 251, 305, 641, 1125, 1155, 7139, 6721, 43, 34927, 0};
static int joe_kuo_d6_initial_number04238[] = {1, 1, 5, 13, 21, 39, 55, 103, 143, 487, 849, 1111, 1105, 8483, 5417, 10521, 0};
static int joe_kuo_d6_initial_number04239[] = {1, 1, 5, 5, 19, 5, 111, 49, 95, 917, 843, 2539, 6831, 9019, 16045, 59363, 0};
static int joe_kuo_d6_initial_number04240[] = {1, 3, 3, 11, 7, 45, 87, 51, 49, 615, 603, 1623, 5351, 11939, 21945, 40539, 0};
static int joe_kuo_d6_initial_number04241[] = {1, 1, 5, 9, 9, 33, 113, 37, 163, 853, 1313, 4021, 965, 11465, 8573, 24425, 0};
static int joe_kuo_d6_initial_number04242[] = {1, 3, 3, 9, 17, 19, 121, 95, 93, 441, 1951, 3335, 6279, 16087, 14763, 60771, 0};
static int joe_kuo_d6_initial_number04243[] = {1, 3, 3, 9, 13, 15, 19, 129, 257, 641, 533, 1667, 5959, 2259, 10439, 29745, 0};
static int joe_kuo_d6_initial_number04244[] = {1, 1, 7, 7, 11, 31, 45, 247, 233, 101, 899, 2033, 7803, 11423, 30645, 7723, 0};
static int joe_kuo_d6_initial_number04245[] = {1, 3, 5, 11, 23, 3, 69, 79, 319, 125, 1463, 2047, 7311, 5819, 445, 13725, 0};
static int joe_kuo_d6_initial_number04246[] = {1, 1, 1, 3, 7, 43, 83, 89, 467, 709, 1993, 3773, 7805, 305, 15701, 51101, 0};
static int joe_kuo_d6_initial_number04247[] = {1, 1, 7, 5, 19, 53, 77, 237, 27, 853, 1003, 2041, 5739, 4663, 9783, 23761, 0};
static int joe_kuo_d6_initial_number04248[] = {1, 1, 3, 7, 19, 31, 71, 33, 479, 693, 1503, 9, 2779, 1481, 9413, 36227, 0};
static int joe_kuo_d6_initial_number04249[] = {1, 3, 1, 11, 9, 23, 1, 99, 247, 33, 1987, 1577, 8029, 7785, 29947, 38751, 0};
static int joe_kuo_d6_initial_number04250[] = {1, 1, 1, 3, 15, 57, 23, 53, 431, 553, 1433, 2447, 1871, 10701, 30961, 12281, 0};
static int joe_kuo_d6_initial_number04251[] = {1, 3, 5, 9, 11, 49, 123, 91, 87, 155, 301, 3339, 6183, 15895, 17309, 45927, 0};
static int joe_kuo_d6_initial_number04252[] = {1, 1, 1, 9, 9, 41, 79, 123, 261, 547, 1931, 2553, 7405, 14431, 24079, 20769, 0};
static int joe_kuo_d6_initial_number04253[] = {1, 3, 1, 3, 31, 17, 17, 137, 419, 591, 1693, 3977, 861, 16025, 189, 60995, 0};
static int joe_kuo_d6_initial_number04254[] = {1, 3, 7, 11, 19, 47, 107, 243, 87, 135, 507, 189, 1397, 3841, 22999, 50781, 0};
static int joe_kuo_d6_initial_number04255[] = {1, 3, 5, 5, 15, 11, 19, 239, 133, 295, 673, 2389, 4753, 4363, 21669, 25579, 0};
static int joe_kuo_d6_initial_number04256[] = {1, 3, 5, 7, 19, 43, 55, 129, 239, 89, 1731, 1381, 5483, 11773, 9201, 17745, 0};
static int joe_kuo_d6_initial_number04257[] = {1, 3, 1, 13, 3, 15, 77, 131, 417, 845, 1953, 2871, 1789, 10343, 11363, 20699, 0};
static int joe_kuo_d6_initial_number04258[] = {1, 3, 7, 1, 9, 43, 55, 223, 239, 317, 1951, 2725, 209, 3853, 2201, 6839, 0};
static int joe_kuo_d6_initial_number04259[] = {1, 3, 1, 3, 7, 35, 29, 21, 149, 779, 467, 65, 811, 4859, 14021, 38429, 0};
static int joe_kuo_d6_initial_number04260[] = {1, 3, 7, 1, 19, 31, 97, 9, 11, 415, 689, 1513, 2475, 5039, 5669, 65103, 0};
static int joe_kuo_d6_initial_number04261[] = {1, 3, 3, 3, 11, 25, 37, 247, 189, 911, 429, 2395, 3653, 79, 28115, 23513, 0};
static int joe_kuo_d6_initial_number04262[] = {1, 1, 5, 5, 5, 27, 25, 45, 291, 455, 741, 2259, 8131, 11779, 14693, 58729, 0};
static int joe_kuo_d6_initial_number04263[] = {1, 3, 3, 7, 21, 33, 67, 49, 153, 491, 1811, 1955, 925, 15555, 13801, 48717, 0};
static int joe_kuo_d6_initial_number04264[] = {1, 3, 1, 3, 11, 53, 105, 129, 457, 225, 497, 1123, 973, 2901, 26655, 3643, 0};
static int joe_kuo_d6_initial_number04265[] = {1, 1, 7, 13, 29, 49, 71, 37, 321, 865, 735, 357, 7629, 6011, 28221, 39041, 0};
static int joe_kuo_d6_initial_number04266[] = {1, 3, 5, 3, 19, 59, 65, 199, 69, 391, 1735, 3075, 287, 16213, 3211, 22425, 0};
static int joe_kuo_d6_initial_number04267[] = {1, 1, 1, 5, 15, 61, 67, 255, 5, 689, 759, 155, 7245, 5881, 21685, 3863, 0};
static int joe_kuo_d6_initial_number04268[] = {1, 1, 3, 11, 23, 63, 69, 241, 359, 735, 371, 603, 2707, 15833, 31795, 14901, 0};
static int joe_kuo_d6_initial_number04269[] = {1, 1, 1, 7, 19, 33, 83, 19, 13, 667, 317, 3891, 5497, 8213, 4913, 22387, 0};
static int joe_kuo_d6_initial_number04270[] = {1, 3, 5, 9, 13, 21, 11, 187, 249, 647, 349, 605, 2199, 5033, 29773, 48953, 0};
static int joe_kuo_d6_initial_number04271[] = {1, 3, 3, 11, 3, 3, 93, 235, 441, 933, 383, 2007, 4015, 4175, 3937, 20623, 0};
static int joe_kuo_d6_initial_number04272[] = {1, 3, 7, 13, 3, 61, 87, 219, 263, 651, 1343, 2709, 31, 16249, 4749, 28909, 0};
static int joe_kuo_d6_initial_number04273[] = {1, 3, 1, 1, 17, 19, 101, 107, 499, 127, 13, 2123, 5597, 3751, 14527, 12009, 0};
static int joe_kuo_d6_initial_number04274[] = {1, 3, 5, 13, 27, 57, 1, 195, 107, 947, 1475, 2831, 6449, 16117, 20555, 61513, 0};
static int joe_kuo_d6_initial_number04275[] = {1, 3, 1, 9, 9, 47, 89, 187, 401, 299, 637, 197, 1235, 12655, 25025, 24443, 0};
static int joe_kuo_d6_initial_number04276[] = {1, 1, 3, 5, 9, 57, 33, 41, 451, 983, 391, 2707, 705, 13913, 28843, 34091, 0};
static int joe_kuo_d6_initial_number04277[] = {1, 3, 5, 3, 29, 19, 61, 31, 349, 253, 1267, 3345, 2151, 11309, 19623, 62407, 0};
static int joe_kuo_d6_initial_number04278[] = {1, 1, 1, 3, 11, 37, 31, 59, 1, 253, 103, 2811, 1871, 4239, 26311, 32507, 0};
static int joe_kuo_d6_initial_number04279[] = {1, 1, 5, 7, 7, 7, 69, 63, 281, 901, 1785, 2131, 4265, 253, 13997, 30177, 0};
static int joe_kuo_d6_initial_number04280[] = {1, 3, 1, 11, 3, 27, 111, 67, 411, 751, 241, 293, 6271, 4187, 22119, 63737, 0};
static int joe_kuo_d6_initial_number04281[] = {1, 3, 5, 5, 27, 19, 45, 203, 81, 59, 1839, 935, 4847, 1869, 12037, 30971, 0};
static int joe_kuo_d6_initial_number04282[] = {1, 1, 3, 9, 19, 25, 9, 27, 373, 875, 1735, 689, 2957, 7873, 29771, 4093, 0};
static int joe_kuo_d6_initial_number04283[] = {1, 1, 7, 11, 13, 39, 11, 129, 53, 433, 1731, 899, 5855, 10221, 24165, 50205, 0};
static int joe_kuo_d6_initial_number04284[] = {1, 3, 1, 15, 25, 31, 85, 49, 325, 299, 183, 287, 2425, 15353, 25999, 59129, 0};
static int joe_kuo_d6_initial_number04285[] = {1, 1, 5, 5, 17, 25, 23, 5, 287, 677, 591, 981, 429, 15297, 14573, 61095, 0};
static int joe_kuo_d6_initial_number04286[] = {1, 1, 5, 15, 5, 15, 67, 195, 209, 341, 1621, 1379, 3031, 5469, 31563, 49291, 0};
static int joe_kuo_d6_initial_number04287[] = {1, 1, 1, 1, 25, 33, 61, 201, 15, 125, 969, 1965, 2021, 10253, 23801, 28165, 0};
static int joe_kuo_d6_initial_number04288[] = {1, 1, 5, 5, 13, 17, 5, 245, 11, 133, 287, 1929, 4331, 15919, 29663, 10243, 0};
static int joe_kuo_d6_initial_number04289[] = {1, 1, 7, 9, 19, 33, 39, 191, 489, 631, 69, 1883, 2183, 14993, 32715, 62217, 0};
static int joe_kuo_d6_initial_number04290[] = {1, 3, 3, 13, 23, 61, 103, 193, 501, 431, 437, 417, 6557, 11701, 27577, 42943, 0};
static int joe_kuo_d6_initial_number04291[] = {1, 3, 3, 9, 9, 27, 69, 247, 469, 841, 733, 813, 2673, 7145, 5385, 44917, 0};
static int joe_kuo_d6_initial_number04292[] = {1, 1, 7, 9, 5, 13, 19, 71, 323, 923, 1885, 3031, 4507, 13787, 14149, 1483, 0};
static int joe_kuo_d6_initial_number04293[] = {1, 3, 1, 5, 1, 15, 89, 229, 301, 733, 1343, 2415, 6463, 1875, 9293, 6037, 0};
static int joe_kuo_d6_initial_number04294[] = {1, 3, 1, 5, 29, 57, 67, 121, 311, 441, 1079, 1963, 7137, 6745, 9893, 22811, 0};
static int joe_kuo_d6_initial_number04295[] = {1, 1, 7, 7, 25, 13, 27, 61, 331, 361, 481, 3783, 3061, 7827, 18885, 27583, 0};
static int joe_kuo_d6_initial_number04296[] = {1, 3, 1, 5, 17, 47, 19, 83, 309, 65, 1573, 3437, 5623, 12691, 21075, 27789, 0};
static int joe_kuo_d6_initial_number04297[] = {1, 1, 7, 9, 13, 51, 7, 209, 131, 111, 1143, 53, 7277, 9297, 20869, 33121, 0};
static int joe_kuo_d6_initial_number04298[] = {1, 1, 3, 9, 13, 17, 57, 89, 239, 281, 775, 333, 5631, 2805, 10195, 9665, 0};
static int joe_kuo_d6_initial_number04299[] = {1, 1, 3, 7, 19, 39, 71, 79, 63, 551, 103, 3169, 2761, 13929, 20751, 18951, 0};
static int joe_kuo_d6_initial_number04300[] = {1, 1, 7, 11, 5, 23, 7, 249, 447, 483, 433, 3117, 1421, 14991, 5397, 19813, 0};
static int joe_kuo_d6_initial_number04301[] = {1, 3, 1, 13, 3, 9, 109, 241, 181, 33, 853, 3939, 3751, 2151, 28375, 64443, 0};
static int joe_kuo_d6_initial_number04302[] = {1, 1, 7, 7, 3, 33, 65, 211, 251, 631, 1819, 3913, 3353, 12975, 19117, 51515, 0};
static int joe_kuo_d6_initial_number04303[] = {1, 1, 1, 13, 3, 21, 9, 203, 223, 229, 1399, 117, 6297, 11535, 16383, 12541, 0};
static int joe_kuo_d6_initial_number04304[] = {1, 1, 5, 7, 25, 9, 53, 27, 497, 103, 1915, 2179, 3679, 11375, 18907, 63385, 0};
static int joe_kuo_d6_initial_number04305[] = {1, 3, 1, 5, 1, 53, 91, 169, 87, 387, 377, 1121, 7241, 5133, 1949, 13433, 0};
static int joe_kuo_d6_initial_number04306[] = {1, 1, 1, 3, 27, 35, 61, 189, 241, 445, 287, 325, 127, 2363, 30663, 43557, 0};
static int joe_kuo_d6_initial_number04307[] = {1, 3, 1, 3, 17, 47, 59, 237, 213, 979, 807, 85, 4621, 9915, 13631, 55657, 0};
static int joe_kuo_d6_initial_number04308[] = {1, 3, 5, 7, 27, 5, 101, 89, 495, 675, 1181, 2295, 1913, 3731, 32639, 58297, 0};
static int joe_kuo_d6_initial_number04309[] = {1, 3, 3, 11, 5, 41, 49, 229, 93, 659, 927, 3425, 4083, 11859, 10603, 20631, 0};
static int joe_kuo_d6_initial_number04310[] = {1, 3, 5, 11, 31, 51, 67, 69, 253, 497, 1665, 1985, 5439, 15999, 4175, 62175, 0};
static int joe_kuo_d6_initial_number04311[] = {1, 1, 7, 11, 1, 21, 95, 19, 205, 513, 1329, 1821, 1251, 2381, 32623, 23923, 0};
static int joe_kuo_d6_initial_number04312[] = {1, 1, 5, 13, 3, 1, 29, 175, 315, 865, 599, 1695, 1391, 2313, 31035, 19159, 0};
static int joe_kuo_d6_initial_number04313[] = {1, 3, 3, 1, 3, 45, 109, 93, 481, 285, 869, 3441, 3715, 1355, 9581, 50173, 0};
static int joe_kuo_d6_initial_number04314[] = {1, 3, 7, 7, 15, 35, 107, 107, 315, 213, 281, 2073, 4689, 5877, 31, 40967, 0};
static int joe_kuo_d6_initial_number04315[] = {1, 1, 3, 11, 11, 3, 73, 41, 79, 37, 481, 1993, 931, 7677, 11321, 45735, 0};
static int joe_kuo_d6_initial_number04316[] = {1, 1, 7, 1, 15, 21, 65, 237, 263, 849, 863, 4039, 3171, 13381, 30373, 51639, 0};
static int joe_kuo_d6_initial_number04317[] = {1, 1, 1, 3, 21, 57, 113, 3, 487, 41, 1277, 633, 2839, 4977, 14537, 31749, 0};
static int joe_kuo_d6_initial_number04318[] = {1, 1, 5, 1, 1, 55, 71, 181, 147, 895, 1839, 2157, 3187, 6403, 30367, 48915, 0};
static int joe_kuo_d6_initial_number04319[] = {1, 1, 5, 3, 9, 17, 19, 127, 115, 875, 831, 2439, 7475, 1921, 18657, 27709, 0};
static int joe_kuo_d6_initial_number04320[] = {1, 3, 3, 13, 29, 11, 35, 81, 291, 483, 625, 3957, 6017, 12543, 18773, 2471, 0};
static int joe_kuo_d6_initial_number04321[] = {1, 3, 3, 13, 11, 39, 7, 85, 493, 209, 819, 3277, 4275, 8997, 22943, 33199, 0};
static int joe_kuo_d6_initial_number04322[] = {1, 1, 1, 7, 11, 25, 1, 57, 505, 135, 1713, 3051, 5893, 10711, 10681, 12235, 0};
static int joe_kuo_d6_initial_number04323[] = {1, 3, 5, 11, 23, 33, 13, 107, 289, 251, 235, 1747, 4097, 12237, 17559, 5063, 0};
static int joe_kuo_d6_initial_number04324[] = {1, 3, 3, 9, 19, 17, 23, 45, 297, 147, 1301, 2057, 7871, 9971, 1965, 62449, 0};
static int joe_kuo_d6_initial_number04325[] = {1, 1, 7, 3, 17, 21, 19, 203, 289, 897, 1967, 3519, 3261, 8199, 24181, 23273, 0};
static int joe_kuo_d6_initial_number04326[] = {1, 1, 7, 11, 1, 17, 25, 63, 509, 969, 47, 1329, 701, 5227, 419, 14839, 0};
static int joe_kuo_d6_initial_number04327[] = {1, 3, 5, 11, 1, 41, 81, 157, 395, 97, 1919, 3043, 6015, 15, 23733, 55485, 0};
static int joe_kuo_d6_initial_number04328[] = {1, 1, 3, 11, 17, 37, 17, 181, 179, 297, 1007, 1559, 6275, 11645, 7535, 28941, 0};
static int joe_kuo_d6_initial_number04329[] = {1, 3, 7, 15, 5, 47, 31, 237, 215, 563, 207, 1867, 6635, 6857, 11837, 22865, 0};
static int joe_kuo_d6_initial_number04330[] = {1, 3, 1, 7, 7, 39, 51, 179, 57, 987, 893, 2715, 1045, 5799, 19805, 54275, 0};
static int joe_kuo_d6_initial_number04331[] = {1, 1, 7, 15, 25, 9, 127, 243, 323, 1013, 929, 2891, 7549, 1071, 17663, 15247, 0};
static int joe_kuo_d6_initial_number04332[] = {1, 1, 1, 5, 25, 23, 101, 9, 371, 89, 1749, 3559, 8071, 13887, 14807, 42825, 0};
static int joe_kuo_d6_initial_number04333[] = {1, 3, 3, 11, 21, 41, 3, 77, 3, 709, 1745, 3615, 4141, 5275, 28329, 59739, 0};
static int joe_kuo_d6_initial_number04334[] = {1, 1, 7, 13, 1, 11, 73, 183, 363, 241, 863, 3983, 3235, 293, 649, 441, 0};
static int joe_kuo_d6_initial_number04335[] = {1, 1, 5, 3, 13, 27, 13, 191, 57, 639, 1803, 2353, 3143, 12763, 5771, 36155, 0};
static int joe_kuo_d6_initial_number04336[] = {1, 1, 5, 3, 1, 53, 85, 45, 283, 823, 1213, 3261, 4599, 13267, 4613, 12657, 0};
static int joe_kuo_d6_initial_number04337[] = {1, 3, 5, 15, 27, 49, 59, 123, 357, 527, 337, 2751, 3999, 8525, 12501, 40621, 0};
static int joe_kuo_d6_initial_number04338[] = {1, 1, 1, 7, 1, 55, 85, 17, 447, 599, 1315, 2313, 1649, 907, 25647, 3251, 0};
static int joe_kuo_d6_initial_number04339[] = {1, 3, 5, 13, 9, 1, 37, 121, 143, 1, 631, 2273, 1673, 3649, 27533, 28731, 0};
static int joe_kuo_d6_initial_number04340[] = {1, 1, 7, 13, 9, 31, 57, 249, 397, 815, 501, 895, 1217, 11387, 8635, 65193, 0};
static int joe_kuo_d6_initial_number04341[] = {1, 1, 5, 5, 9, 35, 95, 193, 133, 513, 1929, 3841, 3063, 2383, 24413, 51185, 0};
static int joe_kuo_d6_initial_number04342[] = {1, 1, 1, 13, 3, 49, 45, 191, 15, 181, 1819, 3741, 1227, 12775, 9461, 44951, 0};
static int joe_kuo_d6_initial_number04343[] = {1, 1, 1, 1, 3, 45, 121, 19, 269, 829, 517, 3913, 183, 11019, 24969, 21973, 0};
static int joe_kuo_d6_initial_number04344[] = {1, 1, 5, 11, 31, 39, 125, 189, 401, 57, 1557, 1727, 1415, 4025, 30353, 36589, 0};
static int joe_kuo_d6_initial_number04345[] = {1, 1, 3, 9, 3, 55, 125, 187, 409, 499, 1853, 2781, 4323, 16159, 16345, 34659, 0};
static int joe_kuo_d6_initial_number04346[] = {1, 3, 5, 11, 31, 5, 125, 137, 197, 475, 2003, 617, 1289, 8365, 28981, 57537, 0};
static int joe_kuo_d6_initial_number04347[] = {1, 1, 1, 5, 19, 29, 83, 127, 311, 177, 1635, 2187, 5377, 12841, 7591, 6095, 0};
static int joe_kuo_d6_initial_number04348[] = {1, 3, 5, 5, 21, 39, 65, 197, 115, 411, 1457, 3011, 7021, 14119, 61, 21107, 0};
static int joe_kuo_d6_initial_number04349[] = {1, 3, 3, 9, 19, 57, 99, 23, 451, 507, 973, 415, 7123, 11367, 29767, 23763, 0};
static int joe_kuo_d6_initial_number04350[] = {1, 1, 5, 7, 29, 23, 47, 11, 267, 873, 591, 373, 7097, 3783, 23289, 5547, 0};
static int joe_kuo_d6_initial_number04351[] = {1, 1, 5, 15, 7, 7, 7, 91, 389, 841, 1995, 459, 7013, 3109, 23615, 21519, 0};
static int joe_kuo_d6_initial_number04352[] = {1, 3, 1, 1, 13, 25, 87, 235, 193, 201, 713, 1633, 3117, 13609, 17211, 573, 0};
static int joe_kuo_d6_initial_number04353[] = {1, 1, 1, 9, 27, 53, 105, 39, 217, 781, 997, 661, 6243, 6427, 17739, 62239, 0};
static int joe_kuo_d6_initial_number04354[] = {1, 1, 7, 3, 3, 49, 75, 125, 239, 195, 215, 2983, 1185, 4743, 12069, 55509, 0};
static int joe_kuo_d6_initial_number04355[] = {1, 1, 5, 15, 31, 11, 9, 91, 253, 361, 571, 1589, 2425, 4279, 3765, 46519, 0};
static int joe_kuo_d6_initial_number04356[] = {1, 1, 3, 3, 21, 49, 49, 213, 399, 253, 1565, 2447, 453, 7957, 24799, 58503, 0};
static int joe_kuo_d6_initial_number04357[] = {1, 1, 7, 1, 5, 59, 81, 97, 209, 477, 17, 3085, 3655, 599, 24011, 14981, 0};
static int joe_kuo_d6_initial_number04358[] = {1, 3, 3, 13, 19, 49, 7, 35, 111, 169, 629, 1587, 5345, 13699, 21187, 30199, 0};
static int joe_kuo_d6_initial_number04359[] = {1, 1, 3, 13, 19, 59, 73, 127, 475, 509, 9, 2661, 711, 15835, 31429, 33885, 0};
static int joe_kuo_d6_initial_number04360[] = {1, 3, 5, 3, 31, 15, 43, 185, 29, 897, 1041, 1057, 6285, 13925, 4023, 25741, 0};
static int joe_kuo_d6_initial_number04361[] = {1, 3, 5, 11, 1, 33, 63, 155, 175, 501, 1147, 3395, 3285, 16237, 22315, 50945, 0};
static int joe_kuo_d6_initial_number04362[] = {1, 3, 3, 3, 5, 13, 77, 227, 85, 139, 139, 1, 7147, 2023, 32705, 38753, 0};
static int joe_kuo_d6_initial_number04363[] = {1, 3, 5, 11, 31, 59, 35, 179, 489, 537, 1537, 2877, 4937, 10825, 2445, 34907, 0};
static int joe_kuo_d6_initial_number04364[] = {1, 3, 7, 11, 17, 17, 95, 223, 165, 925, 829, 3971, 1, 7393, 8825, 25705, 0};
static int joe_kuo_d6_initial_number04365[] = {1, 1, 1, 1, 25, 17, 25, 143, 385, 907, 1381, 1823, 3819, 8475, 5321, 12037, 0};
static int joe_kuo_d6_initial_number04366[] = {1, 1, 5, 11, 7, 47, 97, 85, 105, 23, 263, 1329, 1905, 12121, 29635, 41249, 0};
static int joe_kuo_d6_initial_number04367[] = {1, 1, 7, 11, 1, 51, 13, 13, 5, 143, 83, 3831, 959, 6083, 16997, 59887, 0};
static int joe_kuo_d6_initial_number04368[] = {1, 3, 3, 13, 25, 9, 31, 5, 215, 791, 767, 1733, 2715, 14283, 25795, 54249, 0};
static int joe_kuo_d6_initial_number04369[] = {1, 3, 7, 5, 11, 19, 125, 81, 71, 131, 1869, 1111, 6763, 5275, 23095, 1139, 0};
static int joe_kuo_d6_initial_number04370[] = {1, 3, 3, 9, 25, 43, 119, 49, 133, 217, 521, 1367, 5867, 6829, 29871, 60383, 0};
static int joe_kuo_d6_initial_number04371[] = {1, 1, 7, 9, 5, 11, 59, 157, 279, 301, 481, 3273, 7943, 3273, 27783, 17271, 0};
static int joe_kuo_d6_initial_number04372[] = {1, 3, 3, 13, 11, 57, 13, 5, 435, 169, 541, 517, 2359, 9121, 27911, 15679, 0};
static int joe_kuo_d6_initial_number04373[] = {1, 1, 3, 9, 9, 55, 65, 113, 21, 807, 373, 2825, 1527, 15565, 8339, 7227, 0};
static int joe_kuo_d6_initial_number04374[] = {1, 3, 5, 9, 1, 1, 49, 255, 477, 821, 1647, 713, 6841, 3187, 22649, 51469, 0};
static int joe_kuo_d6_initial_number04375[] = {1, 3, 3, 11, 13, 43, 63, 139, 71, 809, 993, 2429, 833, 6545, 10987, 39567, 0};
static int joe_kuo_d6_initial_number04376[] = {1, 1, 1, 9, 19, 23, 47, 199, 191, 827, 391, 837, 1209, 2493, 24071, 46589, 0};
static int joe_kuo_d6_initial_number04377[] = {1, 1, 5, 13, 25, 51, 39, 43, 103, 899, 1729, 2389, 2965, 189, 3063, 50609, 0};
static int joe_kuo_d6_initial_number04378[] = {1, 1, 3, 1, 5, 29, 105, 201, 503, 199, 507, 205, 2389, 695, 15233, 50353, 0};
static int joe_kuo_d6_initial_number04379[] = {1, 3, 1, 7, 19, 53, 45, 21, 89, 545, 1885, 765, 6673, 13485, 9987, 2609, 0};
static int joe_kuo_d6_initial_number04380[] = {1, 3, 7, 13, 17, 7, 59, 23, 159, 309, 1407, 2483, 1807, 15733, 5603, 52989, 0};
static int joe_kuo_d6_initial_number04381[] = {1, 1, 1, 11, 13, 19, 123, 185, 413, 745, 361, 2391, 6697, 2281, 11999, 13175, 0};
static int joe_kuo_d6_initial_number04382[] = {1, 3, 5, 5, 11, 49, 123, 173, 325, 667, 895, 1067, 8121, 10577, 30561, 17391, 0};
static int joe_kuo_d6_initial_number04383[] = {1, 1, 5, 5, 23, 21, 77, 223, 281, 161, 141, 345, 3879, 11393, 26907, 53805, 0};
static int joe_kuo_d6_initial_number04384[] = {1, 3, 3, 5, 3, 47, 17, 109, 185, 139, 957, 1417, 4553, 6101, 29537, 34821, 0};
static int joe_kuo_d6_initial_number04385[] = {1, 1, 5, 3, 29, 49, 89, 61, 45, 593, 269, 1483, 2971, 991, 21239, 29301, 0};
static int joe_kuo_d6_initial_number04386[] = {1, 1, 3, 13, 29, 45, 33, 253, 291, 783, 737, 2363, 2651, 8627, 21785, 58419, 0};
static int joe_kuo_d6_initial_number04387[] = {1, 3, 7, 15, 29, 15, 81, 185, 363, 681, 1737, 3789, 4365, 3295, 23205, 4457, 0};
static int joe_kuo_d6_initial_number04388[] = {1, 3, 3, 11, 15, 39, 67, 167, 197, 357, 871, 2201, 5377, 6299, 20873, 59283, 0};
static int joe_kuo_d6_initial_number04389[] = {1, 3, 3, 5, 9, 15, 127, 49, 21, 719, 357, 425, 5507, 9639, 275, 47503, 0};
static int joe_kuo_d6_initial_number04390[] = {1, 1, 7, 1, 13, 63, 111, 121, 21, 481, 247, 3147, 5783, 8947, 20809, 42039, 0};
static int joe_kuo_d6_initial_number04391[] = {1, 1, 3, 3, 31, 33, 9, 69, 187, 517, 2029, 2205, 7661, 4757, 27525, 9665, 0};
static int joe_kuo_d6_initial_number04392[] = {1, 1, 1, 13, 7, 41, 103, 161, 233, 221, 693, 213, 4609, 7771, 28703, 17407, 0};
static int joe_kuo_d6_initial_number04393[] = {1, 3, 7, 15, 31, 47, 27, 111, 479, 1003, 1687, 347, 2179, 11861, 8169, 31941, 0};
static int joe_kuo_d6_initial_number04394[] = {1, 1, 3, 5, 5, 63, 25, 125, 199, 147, 589, 3565, 3449, 8331, 8923, 31207, 0};
static int joe_kuo_d6_initial_number04395[] = {1, 1, 3, 11, 19, 25, 77, 99, 299, 19, 1641, 2193, 4299, 3635, 20621, 267, 0};
static int joe_kuo_d6_initial_number04396[] = {1, 3, 7, 11, 9, 59, 7, 167, 1, 775, 29, 1935, 3723, 11835, 2887, 65285, 0};
static int joe_kuo_d6_initial_number04397[] = {1, 1, 7, 13, 5, 47, 101, 155, 235, 93, 465, 3581, 1837, 7675, 10789, 45167, 0};
static int joe_kuo_d6_initial_number04398[] = {1, 1, 3, 5, 9, 59, 121, 109, 59, 821, 1625, 343, 1591, 3875, 13729, 56381, 0};
static int joe_kuo_d6_initial_number04399[] = {1, 1, 1, 9, 27, 53, 93, 215, 133, 561, 39, 2591, 1041, 11913, 24493, 37921, 0};
static int joe_kuo_d6_initial_number04400[] = {1, 1, 1, 7, 23, 7, 81, 107, 219, 943, 563, 1083, 5803, 5687, 32559, 62727, 0};
static int joe_kuo_d6_initial_number04401[] = {1, 3, 7, 7, 21, 53, 3, 5, 231, 601, 1561, 103, 3837, 2675, 5263, 23375, 0};
static int joe_kuo_d6_initial_number04402[] = {1, 1, 3, 13, 15, 27, 89, 7, 251, 887, 951, 3001, 5687, 4921, 5091, 59337, 0};
static int joe_kuo_d6_initial_number04403[] = {1, 3, 7, 15, 25, 53, 19, 155, 185, 503, 547, 1917, 7633, 15167, 14177, 46761, 0};
static int joe_kuo_d6_initial_number04404[] = {1, 3, 5, 15, 21, 49, 13, 163, 471, 281, 1141, 3013, 6847, 9261, 15955, 9397, 0};
static int joe_kuo_d6_initial_number04405[] = {1, 3, 3, 3, 1, 21, 19, 239, 479, 609, 65, 2735, 5337, 6293, 19351, 34135, 0};
static int joe_kuo_d6_initial_number04406[] = {1, 1, 7, 1, 9, 1, 119, 23, 411, 535, 101, 1597, 2379, 2421, 31471, 36473, 0};
static int joe_kuo_d6_initial_number04407[] = {1, 3, 1, 11, 31, 63, 17, 225, 45, 409, 59, 3943, 8043, 11759, 10667, 58793, 0};
static int joe_kuo_d6_initial_number04408[] = {1, 1, 3, 3, 9, 49, 61, 239, 245, 765, 1945, 3567, 5355, 14799, 7141, 59511, 0};
static int joe_kuo_d6_initial_number04409[] = {1, 3, 7, 9, 3, 33, 103, 99, 35, 799, 1347, 2253, 8189, 14177, 13479, 13749, 0};
static int joe_kuo_d6_initial_number04410[] = {1, 3, 1, 15, 15, 51, 7, 179, 471, 265, 1571, 2983, 701, 15133, 7885, 29977, 0};
static int joe_kuo_d6_initial_number04411[] = {1, 1, 5, 9, 15, 37, 49, 213, 113, 729, 1115, 2727, 2635, 8433, 11145, 46779, 0};
static int joe_kuo_d6_initial_number04412[] = {1, 3, 5, 11, 7, 3, 115, 151, 133, 723, 7, 4063, 5807, 9845, 25829, 29315, 0};
static int joe_kuo_d6_initial_number04413[] = {1, 3, 5, 9, 25, 55, 17, 135, 145, 379, 1603, 3459, 5773, 6545, 17509, 25847, 0};
static int joe_kuo_d6_initial_number04414[] = {1, 1, 7, 11, 1, 61, 113, 147, 489, 775, 1347, 2199, 299, 9589, 19931, 1335, 0};
static int joe_kuo_d6_initial_number04415[] = {1, 3, 1, 3, 1, 7, 27, 243, 355, 425, 1215, 3723, 3489, 9285, 12739, 24797, 0};
static int joe_kuo_d6_initial_number04416[] = {1, 3, 5, 11, 15, 25, 57, 221, 247, 647, 259, 1665, 7055, 2835, 16411, 42999, 0};
static int joe_kuo_d6_initial_number04417[] = {1, 1, 3, 7, 9, 25, 61, 233, 73, 235, 1539, 1865, 5671, 1329, 5767, 43039, 0};
static int joe_kuo_d6_initial_number04418[] = {1, 1, 7, 9, 21, 11, 123, 7, 41, 407, 1485, 1723, 585, 10597, 16215, 63403, 0};
static int joe_kuo_d6_initial_number04419[] = {1, 1, 5, 7, 27, 9, 123, 101, 273, 673, 1141, 3841, 4041, 13169, 8221, 12915, 0};
static int joe_kuo_d6_initial_number04420[] = {1, 3, 1, 13, 3, 17, 105, 17, 237, 321, 855, 2821, 2467, 3503, 15187, 1689, 0};
static int joe_kuo_d6_initial_number04421[] = {1, 1, 5, 5, 19, 23, 9, 205, 87, 153, 1543, 1193, 6619, 6845, 8459, 37533, 0};
static int joe_kuo_d6_initial_number04422[] = {1, 1, 7, 15, 13, 29, 79, 9, 203, 211, 239, 2349, 3447, 7797, 19311, 58071, 0};
static int joe_kuo_d6_initial_number04423[] = {1, 3, 5, 11, 5, 49, 71, 151, 333, 895, 1095, 2471, 2477, 14493, 16711, 14393, 0};
static int joe_kuo_d6_initial_number04424[] = {1, 1, 5, 13, 17, 19, 25, 149, 111, 631, 763, 2535, 3631, 1809, 8163, 18037, 0};
static int joe_kuo_d6_initial_number04425[] = {1, 3, 3, 13, 23, 61, 25, 179, 351, 247, 1021, 2413, 2585, 3731, 5435, 52723, 0};
static int joe_kuo_d6_initial_number04426[] = {1, 1, 5, 11, 1, 39, 65, 59, 21, 927, 1989, 2823, 4857, 15521, 30495, 16067, 0};
static int joe_kuo_d6_initial_number04427[] = {1, 3, 3, 7, 17, 5, 17, 125, 379, 875, 1565, 2435, 933, 6809, 20129, 26339, 0};
static int joe_kuo_d6_initial_number04428[] = {1, 1, 7, 5, 3, 57, 51, 213, 455, 663, 2007, 3995, 4889, 9527, 23507, 3261, 0};
static int joe_kuo_d6_initial_number04429[] = {1, 3, 7, 5, 1, 29, 85, 151, 165, 123, 1425, 2851, 4427, 7683, 21085, 28925, 0};
static int joe_kuo_d6_initial_number04430[] = {1, 1, 5, 3, 11, 33, 127, 3, 41, 591, 1539, 3823, 125, 421, 9051, 55025, 0};
static int joe_kuo_d6_initial_number04431[] = {1, 3, 1, 5, 7, 9, 69, 35, 59, 477, 1207, 1245, 6423, 11329, 26535, 37621, 0};
static int joe_kuo_d6_initial_number04432[] = {1, 3, 1, 1, 15, 35, 17, 123, 303, 193, 1489, 2587, 1883, 4063, 1921, 60413, 0};
static int joe_kuo_d6_initial_number04433[] = {1, 1, 5, 1, 7, 61, 39, 247, 139, 1015, 757, 823, 4757, 9307, 32287, 37241, 0};
static int joe_kuo_d6_initial_number04434[] = {1, 1, 7, 15, 3, 5, 85, 93, 457, 999, 1331, 919, 5271, 11687, 24233, 38803, 0};
static int joe_kuo_d6_initial_number04435[] = {1, 3, 3, 9, 5, 43, 37, 13, 505, 603, 1857, 2675, 2017, 9481, 10873, 54755, 0};
static int joe_kuo_d6_initial_number04436[] = {1, 1, 5, 15, 13, 3, 7, 239, 471, 835, 553, 413, 4029, 8613, 15533, 58987, 0};
static int joe_kuo_d6_initial_number04437[] = {1, 3, 1, 5, 19, 27, 21, 43, 57, 755, 1245, 2805, 3799, 2013, 21145, 10317, 0};
static int joe_kuo_d6_initial_number04438[] = {1, 3, 5, 13, 9, 23, 35, 5, 315, 169, 399, 2641, 1525, 10561, 11917, 33009, 0};
static int joe_kuo_d6_initial_number04439[] = {1, 3, 5, 7, 23, 53, 101, 105, 451, 207, 1271, 3067, 6725, 15525, 7951, 1283, 0};
static int joe_kuo_d6_initial_number04440[] = {1, 1, 5, 5, 27, 21, 77, 143, 213, 443, 149, 2667, 5269, 10359, 25287, 5843, 0};
static int joe_kuo_d6_initial_number04441[] = {1, 3, 5, 5, 25, 27, 109, 157, 459, 767, 765, 2667, 1833, 3781, 9077, 64321, 0};
static int joe_kuo_d6_initial_number04442[] = {1, 3, 3, 13, 31, 25, 97, 237, 279, 431, 1713, 809, 1989, 10431, 5867, 42197, 0};
static int joe_kuo_d6_initial_number04443[] = {1, 3, 7, 3, 9, 5, 5, 191, 73, 521, 787, 903, 3073, 2067, 24741, 57029, 0};
static int joe_kuo_d6_initial_number04444[] = {1, 3, 3, 1, 3, 41, 125, 53, 125, 781, 865, 3677, 6279, 357, 10667, 1127, 0};
static int joe_kuo_d6_initial_number04445[] = {1, 1, 5, 11, 25, 19, 99, 121, 359, 73, 607, 2149, 5739, 15669, 29457, 57549, 0};
static int joe_kuo_d6_initial_number04446[] = {1, 1, 5, 3, 23, 5, 35, 55, 369, 239, 329, 3057, 3757, 12523, 5017, 52185, 0};
static int joe_kuo_d6_initial_number04447[] = {1, 3, 3, 13, 17, 61, 69, 165, 267, 323, 2007, 2025, 4423, 15975, 31897, 37013, 0};
static int joe_kuo_d6_initial_number04448[] = {1, 3, 7, 13, 19, 19, 87, 111, 389, 611, 1523, 963, 4671, 12569, 21839, 10919, 0};
static int joe_kuo_d6_initial_number04449[] = {1, 1, 1, 3, 1, 27, 13, 227, 29, 457, 221, 127, 5335, 16247, 19559, 19185, 0};
static int joe_kuo_d6_initial_number04450[] = {1, 3, 5, 7, 29, 21, 23, 157, 197, 87, 1591, 1829, 407, 15885, 14933, 1997, 0};
static int joe_kuo_d6_initial_number04451[] = {1, 1, 1, 9, 3, 35, 43, 187, 195, 325, 197, 2905, 7323, 1563, 7659, 45185, 0};
static int joe_kuo_d6_initial_number04452[] = {1, 1, 1, 15, 3, 23, 105, 33, 73, 495, 1409, 2583, 1099, 1041, 28955, 60293, 0};
static int joe_kuo_d6_initial_number04453[] = {1, 3, 7, 13, 25, 19, 99, 137, 139, 719, 529, 1147, 5813, 11551, 30183, 14593, 0};
static int joe_kuo_d6_initial_number04454[] = {1, 3, 3, 5, 17, 25, 73, 193, 309, 887, 1655, 1641, 2091, 12087, 21881, 1145, 0};
static int joe_kuo_d6_initial_number04455[] = {1, 3, 1, 1, 27, 41, 13, 151, 83, 645, 327, 1795, 2717, 12433, 22751, 9823, 0};
static int joe_kuo_d6_initial_number04456[] = {1, 1, 3, 7, 1, 43, 77, 229, 59, 499, 1883, 135, 3461, 9821, 219, 6111, 0};
static int joe_kuo_d6_initial_number04457[] = {1, 3, 3, 3, 23, 7, 17, 67, 361, 565, 1621, 3253, 7973, 281, 3209, 48215, 0};
static int joe_kuo_d6_initial_number04458[] = {1, 1, 3, 7, 31, 15, 97, 141, 197, 883, 1689, 269, 7487, 10403, 18903, 58147, 0};
static int joe_kuo_d6_initial_number04459[] = {1, 3, 3, 3, 23, 9, 87, 125, 359, 527, 1251, 637, 1145, 12721, 14693, 6021, 0};
static int joe_kuo_d6_initial_number04460[] = {1, 1, 3, 5, 13, 43, 105, 173, 205, 859, 1237, 1227, 1409, 15513, 25317, 30745, 0};
static int joe_kuo_d6_initial_number04461[] = {1, 3, 3, 15, 31, 43, 125, 149, 145, 109, 975, 1167, 7629, 8373, 5923, 64117, 0};
static int joe_kuo_d6_initial_number04462[] = {1, 3, 1, 15, 3, 33, 89, 173, 379, 615, 1401, 1567, 4453, 7461, 32555, 64369, 0};
static int joe_kuo_d6_initial_number04463[] = {1, 3, 7, 11, 27, 23, 45, 7, 15, 21, 1663, 3327, 5611, 8535, 27669, 25525, 0};
static int joe_kuo_d6_initial_number04464[] = {1, 1, 3, 15, 15, 61, 127, 145, 151, 41, 629, 767, 5801, 3395, 1157, 30033, 0};
static int joe_kuo_d6_initial_number04465[] = {1, 1, 1, 5, 9, 63, 73, 9, 299, 237, 369, 1295, 4869, 6821, 19961, 32129, 0};
static int joe_kuo_d6_initial_number04466[] = {1, 1, 5, 13, 19, 7, 119, 35, 319, 405, 1255, 1299, 4311, 14999, 24567, 4001, 0};
static int joe_kuo_d6_initial_number04467[] = {1, 1, 1, 13, 9, 39, 13, 207, 355, 691, 37, 3137, 6073, 16179, 28661, 41, 0};
static int joe_kuo_d6_initial_number04468[] = {1, 1, 3, 7, 21, 3, 123, 27, 187, 183, 769, 2367, 2957, 7065, 17855, 60805, 0};
static int joe_kuo_d6_initial_number04469[] = {1, 1, 1, 1, 19, 31, 71, 85, 303, 617, 1007, 283, 8087, 11079, 11463, 65295, 0};
static int joe_kuo_d6_initial_number04470[] = {1, 1, 3, 13, 25, 63, 61, 187, 401, 465, 1485, 801, 3649, 7763, 8495, 54479, 0};
static int joe_kuo_d6_initial_number04471[] = {1, 3, 7, 3, 13, 51, 41, 119, 311, 699, 1113, 3631, 1981, 3259, 25871, 45659, 0};
static int joe_kuo_d6_initial_number04472[] = {1, 3, 7, 13, 31, 27, 57, 181, 325, 107, 1745, 635, 3941, 3305, 14563, 29855, 0};
static int joe_kuo_d6_initial_number04473[] = {1, 3, 7, 15, 5, 55, 5, 147, 365, 485, 1841, 3673, 6513, 11121, 5725, 18027, 0};
static int joe_kuo_d6_initial_number04474[] = {1, 3, 5, 11, 13, 45, 35, 79, 109, 683, 1171, 3015, 2163, 4823, 4365, 42931, 0};
static int joe_kuo_d6_initial_number04475[] = {1, 1, 7, 7, 13, 45, 57, 39, 297, 985, 1559, 487, 5071, 2657, 9401, 41889, 0};
static int joe_kuo_d6_initial_number04476[] = {1, 1, 5, 9, 29, 33, 79, 237, 509, 537, 549, 3657, 7141, 15189, 30853, 36089, 0};
static int joe_kuo_d6_initial_number04477[] = {1, 3, 5, 7, 31, 15, 75, 73, 237, 273, 865, 743, 2607, 7611, 18441, 12703, 0};
static int joe_kuo_d6_initial_number04478[] = {1, 1, 1, 9, 27, 9, 35, 137, 265, 181, 1341, 1945, 5615, 161, 18369, 4791, 0};
static int joe_kuo_d6_initial_number04479[] = {1, 3, 7, 11, 27, 29, 29, 43, 489, 177, 1489, 2927, 623, 14571, 22447, 46905, 0};
static int joe_kuo_d6_initial_number04480[] = {1, 3, 3, 3, 19, 41, 107, 53, 239, 263, 1433, 1655, 7991, 7405, 2735, 25519, 0};
static int joe_kuo_d6_initial_number04481[] = {1, 3, 5, 7, 19, 37, 73, 243, 215, 445, 1781, 3223, 187, 8443, 18185, 45093, 0};
static int joe_kuo_d6_initial_number04482[] = {1, 1, 3, 13, 9, 57, 111, 111, 221, 505, 1261, 3045, 1655, 16247, 21033, 17993, 0};
static int joe_kuo_d6_initial_number04483[] = {1, 1, 7, 5, 7, 55, 77, 5, 131, 969, 1481, 2883, 2645, 3003, 5601, 37063, 0};
static int joe_kuo_d6_initial_number04484[] = {1, 1, 5, 15, 29, 55, 39, 197, 349, 29, 341, 67, 1977, 425, 4063, 42705, 0};
static int joe_kuo_d6_initial_number04485[] = {1, 1, 7, 13, 1, 57, 81, 81, 129, 681, 1407, 2465, 3627, 2325, 31649, 18449, 0};
static int joe_kuo_d6_initial_number04486[] = {1, 3, 5, 5, 23, 59, 35, 217, 393, 155, 1315, 105, 2285, 5167, 27997, 55193, 0};
static int joe_kuo_d6_initial_number04487[] = {1, 1, 7, 3, 11, 59, 53, 179, 319, 819, 947, 3881, 765, 4219, 16405, 48055, 0};
static int joe_kuo_d6_initial_number04488[] = {1, 1, 3, 9, 23, 9, 67, 67, 137, 523, 1585, 2441, 167, 5217, 12031, 14297, 0};
static int joe_kuo_d6_initial_number04489[] = {1, 1, 5, 13, 31, 63, 121, 91, 439, 917, 203, 1519, 4363, 2391, 25755, 26677, 0};
static int joe_kuo_d6_initial_number04490[] = {1, 1, 3, 5, 25, 31, 11, 95, 339, 817, 35, 3923, 7365, 10537, 5521, 54579, 0};
static int joe_kuo_d6_initial_number04491[] = {1, 3, 7, 1, 3, 33, 47, 13, 139, 445, 1357, 3907, 7495, 8789, 26589, 43479, 0};
static int joe_kuo_d6_initial_number04492[] = {1, 1, 1, 11, 5, 45, 61, 13, 167, 287, 931, 881, 5713, 12937, 12951, 21597, 0};
static int joe_kuo_d6_initial_number04493[] = {1, 3, 5, 1, 29, 23, 7, 117, 503, 897, 733, 1113, 7205, 11507, 561, 34011, 0};
static int joe_kuo_d6_initial_number04494[] = {1, 3, 5, 7, 3, 51, 21, 147, 35, 259, 689, 3801, 2481, 9673, 4065, 595, 0};
static int joe_kuo_d6_initial_number04495[] = {1, 3, 3, 9, 9, 29, 5, 191, 393, 979, 1627, 937, 75, 2339, 24007, 30555, 0};
static int joe_kuo_d6_initial_number04496[] = {1, 1, 5, 7, 9, 35, 111, 23, 113, 563, 1689, 1575, 6127, 9919, 2555, 52261, 0};
static int joe_kuo_d6_initial_number04497[] = {1, 3, 1, 5, 31, 21, 117, 159, 473, 279, 1281, 311, 159, 3343, 27761, 59989, 0};
static int joe_kuo_d6_initial_number04498[] = {1, 1, 5, 1, 23, 31, 67, 241, 401, 69, 933, 777, 267, 12411, 23767, 9047, 0};
static int joe_kuo_d6_initial_number04499[] = {1, 1, 5, 1, 15, 49, 99, 15, 267, 913, 1581, 3713, 651, 14275, 10103, 57619, 0};
static int joe_kuo_d6_initial_number04500[] = {1, 3, 5, 9, 19, 23, 95, 5, 449, 153, 1195, 1315, 2347, 12683, 10865, 50703, 0};
static int joe_kuo_d6_initial_number04501[] = {1, 1, 1, 13, 17, 17, 115, 31, 135, 725, 795, 1695, 6199, 4179, 5223, 48457, 0};
static int joe_kuo_d6_initial_number04502[] = {1, 3, 5, 15, 31, 15, 3, 247, 385, 269, 1665, 581, 2809, 6333, 7459, 14815, 0};
static int joe_kuo_d6_initial_number04503[] = {1, 3, 7, 5, 15, 35, 117, 85, 11, 621, 1523, 981, 511, 14113, 4673, 22683, 0};
static int joe_kuo_d6_initial_number04504[] = {1, 1, 7, 1, 27, 61, 119, 249, 431, 147, 173, 423, 1353, 4747, 12761, 32947, 0};
static int joe_kuo_d6_initial_number04505[] = {1, 3, 7, 1, 23, 39, 15, 153, 219, 359, 1233, 169, 2817, 11043, 12435, 30135, 0};
static int joe_kuo_d6_initial_number04506[] = {1, 1, 5, 1, 1, 55, 39, 1, 151, 865, 125, 2351, 6315, 1165, 20163, 43991, 0};
static int joe_kuo_d6_initial_number04507[] = {1, 1, 3, 9, 25, 41, 115, 221, 129, 265, 1887, 4057, 7523, 13591, 5735, 59645, 0};
static int joe_kuo_d6_initial_number04508[] = {1, 1, 5, 5, 19, 15, 9, 77, 511, 627, 153, 2015, 247, 15949, 9715, 45411, 0};
static int joe_kuo_d6_initial_number04509[] = {1, 1, 7, 7, 17, 17, 107, 183, 39, 647, 1339, 3915, 4937, 537, 27011, 58937, 0};
static int joe_kuo_d6_initial_number04510[] = {1, 3, 3, 13, 3, 3, 69, 201, 431, 65, 683, 121, 7017, 2791, 16713, 62555, 0};
static int joe_kuo_d6_initial_number04511[] = {1, 3, 7, 3, 7, 41, 117, 237, 23, 757, 545, 3899, 1837, 5555, 7891, 29151, 0};
static int joe_kuo_d6_initial_number04512[] = {1, 1, 1, 3, 27, 15, 39, 195, 353, 299, 1431, 2279, 1795, 13773, 24915, 49701, 0};
static int joe_kuo_d6_initial_number04513[] = {1, 1, 5, 5, 7, 7, 125, 5, 401, 523, 1967, 2471, 7279, 7559, 12025, 60599, 0};
static int joe_kuo_d6_initial_number04514[] = {1, 1, 1, 13, 13, 59, 13, 249, 465, 847, 1483, 975, 7729, 2773, 15745, 51237, 0};
static int joe_kuo_d6_initial_number04515[] = {1, 1, 7, 9, 31, 41, 115, 141, 247, 355, 1109, 3239, 6495, 4515, 30145, 47705, 0};
static int joe_kuo_d6_initial_number04516[] = {1, 1, 3, 13, 29, 41, 69, 179, 45, 271, 1909, 3095, 7199, 14049, 9903, 33383, 0};
static int joe_kuo_d6_initial_number04517[] = {1, 1, 3, 13, 7, 45, 105, 105, 243, 121, 67, 3169, 237, 137, 4175, 54325, 0};
static int joe_kuo_d6_initial_number04518[] = {1, 3, 3, 11, 19, 51, 93, 155, 79, 579, 1621, 1251, 7639, 15875, 25815, 56063, 0};
static int joe_kuo_d6_initial_number04519[] = {1, 3, 3, 9, 27, 27, 77, 45, 217, 965, 1045, 875, 4515, 11261, 27859, 757, 0};
static int joe_kuo_d6_initial_number04520[] = {1, 1, 3, 11, 17, 7, 81, 37, 299, 765, 977, 3371, 3163, 13267, 18345, 9239, 0};
static int joe_kuo_d6_initial_number04521[] = {1, 1, 1, 3, 15, 23, 115, 11, 183, 511, 557, 3253, 153, 8465, 22659, 42143, 0};
static int joe_kuo_d6_initial_number04522[] = {1, 1, 5, 13, 17, 61, 127, 219, 225, 981, 615, 731, 4069, 12637, 11601, 38257, 0};
static int joe_kuo_d6_initial_number04523[] = {1, 1, 5, 3, 29, 3, 73, 79, 393, 779, 823, 2473, 3811, 4417, 9399, 50011, 0};
static int joe_kuo_d6_initial_number04524[] = {1, 3, 3, 9, 21, 35, 61, 99, 115, 657, 629, 1129, 2355, 12665, 459, 40831, 0};
static int joe_kuo_d6_initial_number04525[] = {1, 3, 1, 7, 25, 61, 53, 249, 15, 649, 665, 595, 1441, 8035, 5381, 7147, 0};
static int joe_kuo_d6_initial_number04526[] = {1, 3, 1, 7, 19, 9, 27, 207, 205, 461, 1069, 4039, 6549, 2333, 29, 50067, 0};
static int joe_kuo_d6_initial_number04527[] = {1, 1, 5, 3, 15, 7, 115, 205, 71, 73, 53, 71, 6049, 15293, 17041, 20313, 0};
static int joe_kuo_d6_initial_number04528[] = {1, 1, 7, 7, 9, 7, 119, 99, 357, 729, 2041, 3355, 5333, 1263, 30521, 64867, 0};
static int joe_kuo_d6_initial_number04529[] = {1, 1, 1, 7, 31, 63, 63, 159, 281, 295, 913, 2161, 8033, 13789, 17711, 14915, 0};
static int joe_kuo_d6_initial_number04530[] = {1, 1, 7, 9, 29, 55, 69, 129, 453, 361, 1883, 17, 1765, 111, 10311, 55019, 0};
static int joe_kuo_d6_initial_number04531[] = {1, 1, 5, 9, 21, 15, 31, 57, 291, 915, 945, 1775, 5905, 9073, 3271, 15571, 0};
static int joe_kuo_d6_initial_number04532[] = {1, 1, 1, 7, 21, 11, 1, 9, 167, 143, 1535, 1267, 6675, 13037, 19513, 52027, 0};
static int joe_kuo_d6_initial_number04533[] = {1, 3, 3, 7, 31, 45, 57, 105, 63, 121, 631, 679, 3873, 16333, 32069, 64725, 0};
static int joe_kuo_d6_initial_number04534[] = {1, 1, 1, 9, 23, 41, 29, 207, 489, 319, 905, 3147, 4195, 2697, 5281, 1771, 0};
static int joe_kuo_d6_initial_number04535[] = {1, 1, 1, 9, 25, 33, 57, 201, 405, 111, 407, 3489, 449, 8601, 1273, 42105, 0};
static int joe_kuo_d6_initial_number04536[] = {1, 1, 1, 3, 19, 45, 123, 159, 237, 173, 781, 787, 7537, 15453, 25567, 53729, 0};
static int joe_kuo_d6_initial_number04537[] = {1, 1, 7, 3, 29, 9, 89, 207, 345, 685, 1701, 2859, 8065, 9289, 2459, 28367, 0};
static int joe_kuo_d6_initial_number04538[] = {1, 3, 1, 3, 31, 41, 55, 241, 81, 1001, 595, 1725, 853, 11427, 20617, 1717, 0};
static int joe_kuo_d6_initial_number04539[] = {1, 1, 3, 3, 9, 45, 121, 69, 177, 1017, 211, 2753, 6923, 1387, 32063, 45337, 0};
static int joe_kuo_d6_initial_number04540[] = {1, 1, 5, 15, 21, 23, 95, 61, 485, 403, 619, 3035, 4881, 13423, 17815, 35221, 0};
static int joe_kuo_d6_initial_number04541[] = {1, 1, 3, 3, 3, 59, 23, 69, 77, 309, 227, 2877, 3739, 3539, 20083, 23415, 0};
static int joe_kuo_d6_initial_number04542[] = {1, 3, 7, 3, 17, 43, 95, 239, 223, 353, 1237, 3239, 1369, 7245, 32401, 63889, 0};
static int joe_kuo_d6_initial_number04543[] = {1, 1, 1, 5, 25, 63, 123, 3, 291, 819, 793, 241, 5619, 8871, 18341, 2757, 0};
static int joe_kuo_d6_initial_number04544[] = {1, 3, 7, 15, 3, 21, 17, 97, 395, 333, 909, 3783, 3635, 751, 24227, 44281, 0};
static int joe_kuo_d6_initial_number04545[] = {1, 3, 7, 13, 29, 49, 123, 195, 191, 159, 211, 1887, 3047, 4871, 2607, 32425, 0};
static int joe_kuo_d6_initial_number04546[] = {1, 1, 7, 7, 15, 57, 91, 255, 267, 897, 441, 1581, 953, 6951, 17275, 50229, 0};
static int joe_kuo_d6_initial_number04547[] = {1, 3, 7, 15, 1, 35, 91, 219, 7, 117, 119, 2687, 1215, 9517, 10849, 28347, 0};
static int joe_kuo_d6_initial_number04548[] = {1, 1, 1, 1, 21, 55, 67, 221, 503, 883, 1037, 2965, 1485, 8557, 28091, 25459, 0};
static int joe_kuo_d6_initial_number04549[] = {1, 3, 5, 9, 19, 3, 73, 123, 95, 307, 1339, 3669, 5077, 12049, 523, 21457, 0};
static int joe_kuo_d6_initial_number04550[] = {1, 3, 1, 13, 3, 1, 111, 97, 371, 697, 1989, 3715, 7875, 6841, 7009, 17809, 0};
static int joe_kuo_d6_initial_number04551[] = {1, 1, 1, 9, 25, 21, 19, 43, 329, 531, 491, 1147, 1469, 12841, 29651, 29517, 0};
static int joe_kuo_d6_initial_number04552[] = {1, 1, 5, 1, 15, 63, 101, 197, 477, 245, 341, 61, 3803, 10001, 5519, 19083, 0};
static int joe_kuo_d6_initial_number04553[] = {1, 3, 7, 5, 13, 43, 7, 143, 291, 531, 1727, 871, 7091, 5737, 24285, 51017, 0};
static int joe_kuo_d6_initial_number04554[] = {1, 3, 5, 1, 17, 13, 15, 85, 361, 153, 989, 1367, 4705, 3599, 4441, 52471, 0};
static int joe_kuo_d6_initial_number04555[] = {1, 1, 7, 13, 21, 43, 111, 29, 299, 439, 1929, 283, 5901, 14113, 3929, 55843, 0};
static int joe_kuo_d6_initial_number04556[] = {1, 3, 3, 9, 31, 59, 63, 43, 91, 171, 733, 1359, 425, 8505, 19777, 54723, 0};
static int joe_kuo_d6_initial_number04557[] = {1, 1, 5, 7, 31, 1, 97, 253, 331, 307, 1749, 2115, 2535, 9945, 11013, 14231, 0};
static int joe_kuo_d6_initial_number04558[] = {1, 1, 5, 11, 13, 7, 109, 237, 301, 383, 683, 1603, 6393, 2437, 12101, 1767, 0};
static int joe_kuo_d6_initial_number04559[] = {1, 1, 3, 11, 15, 61, 119, 199, 109, 265, 1431, 1729, 3409, 10129, 16945, 34681, 0};
static int joe_kuo_d6_initial_number04560[] = {1, 3, 7, 9, 13, 59, 121, 73, 29, 513, 279, 457, 7985, 15199, 10185, 33621, 0};
static int joe_kuo_d6_initial_number04561[] = {1, 3, 7, 7, 23, 17, 27, 65, 387, 487, 1803, 2789, 461, 11201, 7001, 40229, 0};
static int joe_kuo_d6_initial_number04562[] = {1, 1, 3, 15, 9, 13, 55, 127, 33, 513, 1055, 643, 505, 3005, 6121, 64147, 0};
static int joe_kuo_d6_initial_number04563[] = {1, 3, 5, 15, 5, 11, 77, 233, 175, 691, 171, 2491, 6915, 14195, 7845, 36499, 0};
static int joe_kuo_d6_initial_number04564[] = {1, 1, 5, 11, 19, 45, 103, 207, 99, 645, 1739, 1517, 5907, 16035, 14559, 44007, 0};
static int joe_kuo_d6_initial_number04565[] = {1, 3, 7, 15, 21, 27, 53, 107, 89, 291, 983, 3527, 1025, 2985, 13747, 32715, 0};
static int joe_kuo_d6_initial_number04566[] = {1, 1, 3, 15, 23, 17, 27, 209, 77, 959, 813, 3597, 5809, 693, 10325, 16855, 0};
static int joe_kuo_d6_initial_number04567[] = {1, 1, 7, 11, 23, 53, 123, 99, 211, 935, 1371, 1657, 4699, 2683, 27933, 21451, 0};
static int joe_kuo_d6_initial_number04568[] = {1, 3, 3, 3, 17, 21, 93, 201, 423, 351, 1639, 227, 5719, 13111, 5993, 44615, 0};
static int joe_kuo_d6_initial_number04569[] = {1, 1, 7, 3, 13, 49, 59, 255, 213, 147, 1441, 3593, 6419, 15657, 1947, 62713, 0};
static int joe_kuo_d6_initial_number04570[] = {1, 3, 1, 7, 7, 41, 79, 135, 275, 585, 925, 3139, 4351, 1827, 23533, 63031, 0};
static int joe_kuo_d6_initial_number04571[] = {1, 1, 7, 3, 11, 1, 13, 149, 29, 897, 1043, 2393, 3931, 6741, 19973, 46303, 0};
static int joe_kuo_d6_initial_number04572[] = {1, 1, 1, 13, 13, 57, 9, 253, 149, 67, 1531, 4049, 3013, 13947, 3371, 35317, 0};
static int joe_kuo_d6_initial_number04573[] = {1, 3, 1, 1, 15, 19, 11, 125, 179, 383, 1273, 1551, 6441, 6579, 19659, 31005, 0};
static int joe_kuo_d6_initial_number04574[] = {1, 1, 3, 15, 29, 37, 11, 199, 273, 663, 549, 3167, 2049, 8815, 30719, 47905, 0};
static int joe_kuo_d6_initial_number04575[] = {1, 1, 1, 15, 7, 9, 113, 231, 155, 27, 419, 1303, 4493, 5633, 5743, 51335, 0};
static int joe_kuo_d6_initial_number04576[] = {1, 3, 5, 13, 21, 35, 7, 63, 391, 637, 2011, 841, 5933, 10563, 7593, 34767, 0};
static int joe_kuo_d6_initial_number04577[] = {1, 3, 1, 15, 19, 13, 89, 127, 507, 715, 1305, 2989, 7551, 1953, 26101, 54913, 0};
static int joe_kuo_d6_initial_number04578[] = {1, 1, 5, 1, 1, 33, 101, 211, 173, 761, 177, 2721, 6949, 15801, 6639, 21405, 0};
static int joe_kuo_d6_initial_number04579[] = {1, 3, 1, 13, 15, 23, 113, 177, 43, 743, 57, 3875, 7833, 13619, 17637, 5547, 0};
static int joe_kuo_d6_initial_number04580[] = {1, 1, 3, 13, 21, 7, 123, 83, 391, 731, 597, 2595, 1949, 14619, 17141, 60595, 0};
static int joe_kuo_d6_initial_number04581[] = {1, 3, 7, 13, 31, 55, 15, 43, 17, 855, 233, 1411, 1063, 12977, 22159, 59185, 0};
static int joe_kuo_d6_initial_number04582[] = {1, 3, 7, 7, 17, 53, 67, 37, 245, 941, 1213, 1965, 6635, 10189, 12979, 63503, 0};
static int joe_kuo_d6_initial_number04583[] = {1, 1, 5, 15, 31, 23, 15, 175, 177, 643, 1705, 3541, 2009, 12005, 27281, 16821, 0};
static int joe_kuo_d6_initial_number04584[] = {1, 3, 1, 13, 27, 37, 1, 171, 255, 445, 171, 3555, 8169, 399, 20975, 36195, 0};
static int joe_kuo_d6_initial_number04585[] = {1, 3, 7, 11, 13, 15, 123, 65, 173, 317, 1991, 2093, 8073, 12831, 15455, 30175, 0};
static int joe_kuo_d6_initial_number04586[] = {1, 3, 1, 7, 5, 53, 59, 219, 407, 501, 875, 2627, 1335, 14387, 25523, 28337, 0};
static int joe_kuo_d6_initial_number04587[] = {1, 3, 3, 13, 13, 41, 93, 125, 41, 461, 887, 1085, 3393, 11945, 16329, 43531, 0};
static int joe_kuo_d6_initial_number04588[] = {1, 3, 1, 11, 21, 39, 1, 185, 429, 285, 443, 1165, 451, 10903, 31511, 50555, 0};
static int joe_kuo_d6_initial_number04589[] = {1, 1, 7, 5, 11, 25, 61, 171, 493, 733, 215, 1871, 7783, 14113, 2061, 58961, 0};
static int joe_kuo_d6_initial_number04590[] = {1, 1, 7, 7, 27, 23, 53, 45, 131, 301, 275, 3855, 4883, 6303, 25269, 12697, 0};
static int joe_kuo_d6_initial_number04591[] = {1, 3, 5, 7, 11, 15, 71, 101, 377, 803, 1369, 3741, 633, 10571, 30659, 31101, 0};
static int joe_kuo_d6_initial_number04592[] = {1, 1, 5, 15, 19, 53, 3, 153, 411, 685, 1405, 109, 5755, 13311, 3713, 24579, 0};
static int joe_kuo_d6_initial_number04593[] = {1, 1, 3, 3, 27, 7, 89, 39, 5, 853, 1757, 2927, 2889, 9735, 17959, 39301, 0};
static int joe_kuo_d6_initial_number04594[] = {1, 3, 1, 3, 13, 41, 57, 71, 187, 285, 825, 1807, 7261, 2645, 21861, 1839, 0};
static int joe_kuo_d6_initial_number04595[] = {1, 3, 3, 5, 15, 21, 23, 7, 341, 981, 891, 721, 7221, 3137, 28725, 54993, 0};
static int joe_kuo_d6_initial_number04596[] = {1, 1, 5, 3, 3, 61, 59, 97, 205, 359, 185, 3361, 7637, 15473, 6351, 62097, 0};
static int joe_kuo_d6_initial_number04597[] = {1, 1, 1, 9, 13, 11, 123, 71, 199, 251, 535, 371, 1605, 12107, 13833, 2019, 0};
static int joe_kuo_d6_initial_number04598[] = {1, 1, 7, 13, 27, 1, 43, 73, 409, 601, 1481, 649, 3293, 12257, 23377, 17225, 0};
static int joe_kuo_d6_initial_number04599[] = {1, 1, 7, 11, 15, 55, 99, 45, 261, 461, 1507, 3575, 4425, 9895, 20191, 61863, 0};
static int joe_kuo_d6_initial_number04600[] = {1, 3, 7, 1, 3, 7, 19, 85, 139, 691, 1685, 137, 7547, 16143, 14193, 52479, 0};
static int joe_kuo_d6_initial_number04601[] = {1, 3, 5, 9, 17, 61, 7, 189, 31, 641, 1381, 3999, 4909, 8463, 31761, 54493, 0};
static int joe_kuo_d6_initial_number04602[] = {1, 1, 5, 15, 17, 15, 69, 111, 55, 1011, 1859, 2643, 6043, 5125, 15875, 611, 0};
static int joe_kuo_d6_initial_number04603[] = {1, 1, 3, 5, 3, 33, 73, 227, 327, 369, 189, 1841, 5625, 1179, 18651, 34951, 0};
static int joe_kuo_d6_initial_number04604[] = {1, 3, 7, 13, 1, 17, 109, 149, 89, 889, 799, 3423, 2599, 14525, 12763, 23855, 0};
static int joe_kuo_d6_initial_number04605[] = {1, 1, 3, 15, 5, 63, 87, 7, 63, 171, 1215, 557, 3009, 16305, 23517, 40101, 0};
static int joe_kuo_d6_initial_number04606[] = {1, 1, 3, 3, 29, 31, 79, 183, 401, 813, 41, 1111, 5669, 15697, 7813, 10215, 0};
static int joe_kuo_d6_initial_number04607[] = {1, 1, 5, 7, 9, 25, 25, 57, 343, 375, 535, 3405, 1909, 3201, 2417, 52285, 0};
static int joe_kuo_d6_initial_number04608[] = {1, 1, 5, 9, 25, 19, 33, 183, 29, 991, 1045, 2249, 2933, 12525, 13943, 10423, 0};
static int joe_kuo_d6_initial_number04609[] = {1, 3, 1, 7, 3, 45, 49, 37, 429, 67, 821, 1289, 7311, 16165, 25861, 57715, 0};
static int joe_kuo_d6_initial_number04610[] = {1, 1, 7, 3, 19, 3, 33, 153, 505, 683, 611, 1691, 6421, 15517, 19161, 49013, 0};
static int joe_kuo_d6_initial_number04611[] = {1, 3, 7, 7, 21, 21, 85, 55, 293, 199, 1671, 1881, 7147, 8241, 16173, 51873, 0};
static int joe_kuo_d6_initial_number04612[] = {1, 3, 1, 15, 3, 61, 97, 191, 435, 511, 1599, 2705, 1897, 2607, 1801, 48583, 0};
static int joe_kuo_d6_initial_number04613[] = {1, 1, 5, 3, 9, 23, 23, 185, 401, 947, 33, 385, 7491, 14129, 14561, 13759, 0};
static int joe_kuo_d6_initial_number04614[] = {1, 3, 5, 15, 19, 21, 37, 233, 149, 673, 29, 1315, 3487, 6705, 28283, 43135, 0};
static int joe_kuo_d6_initial_number04615[] = {1, 1, 1, 11, 9, 35, 101, 255, 345, 829, 689, 2747, 2145, 2101, 24863, 35529, 0};
static int joe_kuo_d6_initial_number04616[] = {1, 3, 7, 9, 5, 5, 53, 247, 157, 729, 1621, 129, 2485, 5371, 11115, 47771, 0};
static int joe_kuo_d6_initial_number04617[] = {1, 1, 3, 9, 29, 29, 13, 229, 87, 281, 1119, 1085, 4423, 1667, 27067, 50397, 0};
static int joe_kuo_d6_initial_number04618[] = {1, 1, 3, 7, 11, 29, 77, 85, 121, 495, 501, 3209, 3531, 2307, 11367, 34135, 0};
static int joe_kuo_d6_initial_number04619[] = {1, 1, 7, 9, 3, 37, 33, 209, 493, 869, 367, 3221, 1643, 3353, 22851, 4313, 0};
static int joe_kuo_d6_initial_number04620[] = {1, 1, 1, 7, 15, 53, 27, 17, 29, 345, 821, 1831, 1963, 10089, 5101, 32689, 0};
static int joe_kuo_d6_initial_number04621[] = {1, 1, 3, 9, 9, 61, 31, 215, 497, 591, 1301, 157, 3329, 13877, 9017, 34673, 0};
static int joe_kuo_d6_initial_number04622[] = {1, 1, 5, 1, 29, 49, 93, 139, 279, 167, 143, 279, 6145, 6247, 519, 8869, 0};
static int joe_kuo_d6_initial_number04623[] = {1, 3, 3, 1, 25, 41, 81, 219, 505, 335, 1941, 2963, 413, 775, 4181, 55269, 0};
static int joe_kuo_d6_initial_number04624[] = {1, 1, 1, 11, 27, 23, 91, 9, 497, 811, 1469, 1999, 5377, 2943, 17635, 11151, 0};
static int joe_kuo_d6_initial_number04625[] = {1, 1, 5, 15, 17, 23, 15, 235, 271, 749, 1873, 3805, 5405, 7421, 24339, 14351, 0};
static int joe_kuo_d6_initial_number04626[] = {1, 3, 7, 1, 5, 61, 81, 9, 269, 43, 1391, 2711, 6973, 11299, 2263, 8715, 0};
static int joe_kuo_d6_initial_number04627[] = {1, 1, 5, 13, 11, 1, 69, 235, 25, 227, 63, 2591, 913, 12555, 6263, 38981, 0};
static int joe_kuo_d6_initial_number04628[] = {1, 3, 1, 7, 17, 7, 97, 251, 149, 959, 1895, 1179, 4031, 15975, 20313, 64067, 0};
static int joe_kuo_d6_initial_number04629[] = {1, 3, 7, 15, 3, 17, 85, 229, 149, 925, 585, 3755, 2359, 13131, 12665, 28861, 0};
static int joe_kuo_d6_initial_number04630[] = {1, 3, 3, 9, 5, 31, 107, 93, 347, 851, 1249, 2161, 6095, 8315, 20259, 39527, 0};
static int joe_kuo_d6_initial_number04631[] = {1, 3, 7, 7, 21, 63, 85, 241, 501, 627, 1211, 1713, 6907, 4229, 7557, 55719, 0};
static int joe_kuo_d6_initial_number04632[] = {1, 1, 1, 13, 19, 43, 21, 177, 13, 353, 679, 511, 5565, 993, 25345, 25087, 0};
static int joe_kuo_d6_initial_number04633[] = {1, 3, 3, 15, 21, 15, 87, 83, 381, 547, 1429, 2417, 2425, 2097, 20889, 12353, 0};
static int joe_kuo_d6_initial_number04634[] = {1, 3, 1, 11, 23, 21, 69, 147, 427, 271, 1829, 525, 2951, 10773, 32425, 17685, 0};
static int joe_kuo_d6_initial_number04635[] = {1, 3, 1, 7, 15, 55, 21, 131, 195, 927, 635, 3505, 3817, 14883, 1149, 10079, 0};
static int joe_kuo_d6_initial_number04636[] = {1, 3, 3, 9, 23, 15, 45, 147, 249, 87, 377, 1551, 4343, 15373, 2895, 44973, 0};
static int joe_kuo_d6_initial_number04637[] = {1, 3, 1, 7, 31, 63, 67, 107, 109, 1019, 815, 231, 8135, 559, 8175, 21735, 0};
static int joe_kuo_d6_initial_number04638[] = {1, 1, 5, 7, 7, 63, 103, 133, 167, 883, 1647, 2827, 6015, 8541, 16963, 37129, 0};
static int joe_kuo_d6_initial_number04639[] = {1, 3, 5, 9, 27, 25, 59, 147, 29, 943, 865, 1233, 2165, 15259, 2235, 25831, 0};
static int joe_kuo_d6_initial_number04640[] = {1, 1, 5, 7, 25, 5, 67, 89, 493, 111, 359, 1115, 7963, 6545, 7749, 29179, 0};
static int joe_kuo_d6_initial_number04641[] = {1, 3, 7, 5, 19, 17, 89, 195, 337, 115, 1417, 3837, 4761, 1959, 16205, 61597, 0};
static int joe_kuo_d6_initial_number04642[] = {1, 1, 5, 11, 25, 43, 3, 111, 491, 897, 1541, 909, 4751, 739, 7827, 64485, 0};
static int joe_kuo_d6_initial_number04643[] = {1, 1, 5, 15, 19, 61, 39, 111, 451, 419, 1657, 2427, 4589, 5577, 23967, 19259, 0};
static int joe_kuo_d6_initial_number04644[] = {1, 3, 3, 1, 31, 15, 7, 131, 329, 847, 537, 1775, 3833, 5683, 17267, 16389, 0};
static int joe_kuo_d6_initial_number04645[] = {1, 1, 7, 1, 9, 29, 13, 25, 409, 513, 1695, 2175, 5099, 727, 5723, 43547, 0};
static int joe_kuo_d6_initial_number04646[] = {1, 1, 5, 7, 13, 11, 29, 123, 127, 193, 1647, 3157, 2149, 16209, 19909, 14473, 0};
static int joe_kuo_d6_initial_number04647[] = {1, 1, 1, 15, 15, 37, 125, 157, 487, 143, 1891, 2895, 4397, 10685, 1463, 55027, 0};
static int joe_kuo_d6_initial_number04648[] = {1, 3, 7, 1, 1, 15, 115, 105, 479, 529, 1095, 2687, 4483, 15027, 15487, 7113, 0};
static int joe_kuo_d6_initial_number04649[] = {1, 1, 3, 9, 23, 63, 113, 211, 155, 931, 175, 3037, 2359, 10413, 24561, 21099, 0};
static int joe_kuo_d6_initial_number04650[] = {1, 3, 3, 11, 5, 15, 13, 37, 257, 447, 203, 545, 2467, 9979, 17543, 62703, 0};
static int joe_kuo_d6_initial_number04651[] = {1, 1, 3, 7, 17, 31, 83, 91, 79, 265, 1415, 2347, 5337, 7615, 27739, 33841, 0};
static int joe_kuo_d6_initial_number04652[] = {1, 3, 5, 7, 17, 63, 37, 153, 347, 909, 1945, 7, 2071, 15195, 32083, 26713, 0};
static int joe_kuo_d6_initial_number04653[] = {1, 1, 3, 11, 19, 51, 69, 21, 323, 635, 443, 1685, 6275, 13787, 20921, 45553, 0};
static int joe_kuo_d6_initial_number04654[] = {1, 3, 3, 7, 15, 35, 67, 247, 257, 429, 2029, 523, 3219, 3893, 26677, 53273, 0};
static int joe_kuo_d6_initial_number04655[] = {1, 1, 7, 9, 9, 3, 119, 121, 445, 149, 1539, 1887, 2995, 14867, 809, 48065, 0};
static int joe_kuo_d6_initial_number04656[] = {1, 3, 5, 13, 15, 27, 75, 9, 217, 35, 1363, 2383, 4357, 1153, 20565, 62277, 0};
static int joe_kuo_d6_initial_number04657[] = {1, 1, 7, 1, 21, 1, 11, 53, 331, 765, 407, 453, 2725, 11199, 645, 14915, 0};
static int joe_kuo_d6_initial_number04658[] = {1, 1, 5, 1, 29, 11, 5, 159, 395, 53, 323, 1347, 5529, 8525, 24003, 20535, 0};
static int joe_kuo_d6_initial_number04659[] = {1, 3, 3, 15, 9, 19, 87, 181, 391, 639, 703, 611, 997, 359, 2471, 58465, 0};
static int joe_kuo_d6_initial_number04660[] = {1, 3, 5, 9, 27, 9, 117, 47, 223, 509, 1537, 1235, 3885, 6767, 17131, 63421, 0};
static int joe_kuo_d6_initial_number04661[] = {1, 1, 5, 1, 15, 15, 113, 67, 477, 597, 1795, 3065, 4565, 3609, 16419, 19667, 0};
static int joe_kuo_d6_initial_number04662[] = {1, 1, 7, 11, 1, 63, 33, 211, 271, 773, 499, 2309, 1303, 14015, 30377, 53195, 0};
static int joe_kuo_d6_initial_number04663[] = {1, 1, 7, 11, 5, 23, 17, 183, 321, 315, 203, 3371, 907, 9331, 21031, 33765, 0};
static int joe_kuo_d6_initial_number04664[] = {1, 3, 3, 7, 7, 53, 111, 69, 441, 283, 195, 2415, 7293, 7659, 2731, 5417, 0};
static int joe_kuo_d6_initial_number04665[] = {1, 3, 5, 15, 3, 61, 5, 241, 427, 463, 1729, 653, 7671, 10979, 7247, 36931, 0};
static int joe_kuo_d6_initial_number04666[] = {1, 3, 1, 9, 3, 5, 105, 117, 465, 853, 2005, 3925, 4419, 4441, 3701, 50747, 0};
static int joe_kuo_d6_initial_number04667[] = {1, 1, 3, 7, 1, 3, 3, 149, 65, 405, 299, 99, 481, 14323, 11565, 6227, 0};
static int joe_kuo_d6_initial_number04668[] = {1, 3, 7, 5, 29, 3, 19, 3, 253, 895, 879, 2435, 2151, 10673, 11013, 43055, 0};
static int joe_kuo_d6_initial_number04669[] = {1, 3, 1, 11, 15, 57, 127, 197, 319, 913, 1039, 811, 7767, 5791, 31725, 8733, 0};
static int joe_kuo_d6_initial_number04670[] = {1, 1, 7, 3, 13, 25, 25, 81, 229, 185, 39, 2789, 579, 4973, 28617, 60871, 0};
static int joe_kuo_d6_initial_number04671[] = {1, 1, 7, 3, 25, 17, 41, 7, 103, 269, 55, 2651, 7579, 10935, 8917, 14323, 0};
static int joe_kuo_d6_initial_number04672[] = {1, 3, 7, 7, 13, 7, 99, 205, 293, 877, 1893, 3013, 2389, 6021, 2645, 18175, 0};
static int joe_kuo_d6_initial_number04673[] = {1, 1, 3, 7, 9, 39, 59, 187, 191, 761, 339, 3381, 2921, 5197, 16963, 43019, 0};
static int joe_kuo_d6_initial_number04674[] = {1, 3, 3, 13, 7, 23, 41, 203, 311, 981, 323, 1675, 6689, 579, 3885, 64475, 0};
static int joe_kuo_d6_initial_number04675[] = {1, 3, 5, 15, 21, 39, 35, 193, 167, 1009, 493, 829, 6571, 1299, 13061, 1163, 0};
static int joe_kuo_d6_initial_number04676[] = {1, 1, 3, 5, 3, 19, 123, 123, 111, 599, 193, 3419, 7173, 5595, 12449, 52247, 0};
static int joe_kuo_d6_initial_number04677[] = {1, 3, 5, 11, 9, 25, 65, 49, 239, 953, 481, 3455, 4335, 305, 22469, 11949, 0};
static int joe_kuo_d6_initial_number04678[] = {1, 1, 3, 7, 15, 1, 13, 77, 147, 49, 1445, 931, 3405, 15951, 15215, 26451, 0};
static int joe_kuo_d6_initial_number04679[] = {1, 3, 1, 1, 21, 53, 17, 7, 247, 243, 805, 795, 489, 13351, 13493, 30937, 0};
static int joe_kuo_d6_initial_number04680[] = {1, 3, 7, 5, 5, 13, 39, 115, 397, 757, 423, 2559, 1677, 9449, 24563, 869, 0};
static int joe_kuo_d6_initial_number04681[] = {1, 1, 3, 11, 23, 9, 27, 233, 165, 853, 1721, 599, 551, 11657, 27623, 40119, 0};
static int joe_kuo_d6_initial_number04682[] = {1, 1, 3, 1, 3, 47, 75, 207, 113, 417, 1317, 2215, 2395, 1841, 23125, 50401, 0};
static int joe_kuo_d6_initial_number04683[] = {1, 3, 3, 1, 13, 55, 103, 55, 351, 785, 1665, 3603, 7705, 4811, 21129, 38115, 0};
static int joe_kuo_d6_initial_number04684[] = {1, 1, 1, 5, 5, 49, 93, 189, 317, 701, 1545, 1017, 4133, 7655, 19827, 52155, 0};
static int joe_kuo_d6_initial_number04685[] = {1, 3, 3, 13, 17, 37, 7, 249, 139, 529, 235, 3801, 7871, 459, 15127, 13231, 0};
static int joe_kuo_d6_initial_number04686[] = {1, 3, 7, 5, 7, 63, 99, 241, 131, 455, 1287, 3539, 8029, 12661, 23313, 54029, 0};
static int joe_kuo_d6_initial_number04687[] = {1, 3, 1, 3, 29, 63, 51, 227, 497, 685, 1351, 449, 7851, 10815, 17379, 62097, 0};
static int joe_kuo_d6_initial_number04688[] = {1, 3, 1, 11, 25, 61, 73, 29, 467, 533, 855, 853, 5557, 10953, 18307, 27135, 0};
static int joe_kuo_d6_initial_number04689[] = {1, 1, 7, 3, 13, 49, 63, 171, 177, 283, 1365, 3087, 5445, 15109, 12523, 25193, 0};
static int joe_kuo_d6_initial_number04690[] = {1, 3, 5, 15, 9, 39, 95, 81, 417, 199, 1653, 3673, 2663, 8101, 12199, 22759, 0};
static int joe_kuo_d6_initial_number04691[] = {1, 1, 3, 9, 29, 15, 29, 215, 21, 721, 245, 1197, 7251, 5721, 6735, 7751, 0};
static int joe_kuo_d6_initial_number04692[] = {1, 3, 5, 5, 21, 7, 81, 61, 157, 707, 819, 1689, 4203, 5559, 25483, 43325, 0};
static int joe_kuo_d6_initial_number04693[] = {1, 1, 7, 13, 15, 51, 47, 197, 269, 921, 353, 2865, 6227, 537, 20015, 53823, 0};
static int joe_kuo_d6_initial_number04694[] = {1, 1, 3, 5, 13, 25, 91, 221, 111, 587, 1119, 2343, 4651, 4641, 15915, 36323, 0};
static int joe_kuo_d6_initial_number04695[] = {1, 1, 7, 11, 1, 45, 7, 215, 483, 545, 731, 3041, 3121, 8681, 20651, 4069, 0};
static int joe_kuo_d6_initial_number04696[] = {1, 3, 7, 13, 13, 27, 109, 65, 103, 805, 299, 2069, 6017, 14565, 20505, 16161, 0};
static int joe_kuo_d6_initial_number04697[] = {1, 1, 7, 5, 11, 33, 105, 213, 237, 583, 1033, 2333, 845, 6493, 505, 2563, 0};
static int joe_kuo_d6_initial_number04698[] = {1, 1, 5, 7, 3, 5, 11, 173, 373, 341, 269, 177, 3175, 9413, 601, 13591, 0};
static int joe_kuo_d6_initial_number04699[] = {1, 1, 5, 13, 7, 57, 61, 187, 121, 405, 665, 111, 7535, 3355, 14051, 511, 0};
static int joe_kuo_d6_initial_number04700[] = {1, 1, 1, 3, 3, 29, 15, 253, 227, 123, 333, 1343, 7313, 1955, 17741, 30831, 0};
static int joe_kuo_d6_initial_number04701[] = {1, 3, 5, 1, 5, 47, 65, 183, 199, 839, 925, 2711, 4609, 201, 15177, 29817, 0};
static int joe_kuo_d6_initial_number04702[] = {1, 3, 7, 9, 21, 63, 5, 163, 265, 581, 1795, 3937, 4641, 2073, 32225, 60831, 0};
static int joe_kuo_d6_initial_number04703[] = {1, 1, 1, 5, 7, 47, 125, 203, 511, 841, 1937, 3431, 1495, 12827, 5893, 19265, 0};
static int joe_kuo_d6_initial_number04704[] = {1, 1, 5, 5, 9, 49, 17, 247, 391, 241, 3, 2253, 6319, 89, 4449, 6371, 0};
static int joe_kuo_d6_initial_number04705[] = {1, 3, 1, 1, 31, 7, 51, 61, 461, 391, 273, 1609, 5825, 16029, 3851, 39213, 0};
static int joe_kuo_d6_initial_number04706[] = {1, 3, 3, 7, 29, 21, 65, 75, 317, 925, 1319, 3827, 965, 5685, 17007, 64365, 0};
static int joe_kuo_d6_initial_number04707[] = {1, 3, 1, 5, 23, 23, 109, 59, 31, 659, 635, 2209, 857, 9847, 2507, 18325, 0};
static int joe_kuo_d6_initial_number04708[] = {1, 1, 1, 1, 17, 51, 53, 77, 461, 147, 229, 2821, 2405, 1259, 1121, 17429, 0};
static int joe_kuo_d6_initial_number04709[] = {1, 3, 5, 3, 31, 3, 57, 157, 321, 731, 1609, 2139, 899, 12599, 19803, 51083, 0};
static int joe_kuo_d6_initial_number04710[] = {1, 1, 3, 11, 27, 43, 73, 209, 431, 587, 1247, 2803, 3593, 1351, 18701, 33423, 0};
static int joe_kuo_d6_initial_number04711[] = {1, 3, 5, 13, 27, 19, 67, 245, 339, 879, 2035, 1801, 5845, 3883, 22057, 15771, 0};
static int joe_kuo_d6_initial_number04712[] = {1, 1, 3, 11, 11, 55, 93, 51, 57, 127, 1325, 3975, 3989, 2347, 18831, 2979, 0};
static int joe_kuo_d6_initial_number04713[] = {1, 1, 1, 13, 17, 1, 17, 103, 303, 777, 1973, 2943, 7439, 8953, 27227, 10229, 0};
static int joe_kuo_d6_initial_number04714[] = {1, 3, 3, 15, 1, 41, 53, 219, 415, 399, 995, 205, 7719, 10937, 31879, 755, 0};
static int joe_kuo_d6_initial_number04715[] = {1, 3, 7, 9, 13, 7, 99, 93, 419, 1019, 1605, 161, 3831, 9147, 7877, 1333, 0};
static int joe_kuo_d6_initial_number04716[] = {1, 3, 7, 15, 5, 51, 37, 115, 259, 549, 353, 2067, 7657, 1283, 20333, 2325, 0};
static int joe_kuo_d6_initial_number04717[] = {1, 1, 3, 3, 23, 33, 63, 233, 363, 719, 1099, 471, 3079, 10577, 19063, 31535, 0};
static int joe_kuo_d6_initial_number04718[] = {1, 3, 7, 15, 23, 19, 109, 105, 497, 881, 1055, 537, 4607, 239, 22785, 60201, 0};
static int joe_kuo_d6_initial_number04719[] = {1, 3, 3, 5, 19, 11, 1, 207, 163, 437, 713, 667, 1427, 7505, 28055, 43101, 0};
static int joe_kuo_d6_initial_number04720[] = {1, 3, 5, 5, 25, 45, 75, 9, 109, 545, 573, 2685, 1013, 2973, 18619, 55945, 0};
static int joe_kuo_d6_initial_number04721[] = {1, 1, 1, 3, 27, 27, 39, 33, 285, 453, 613, 2707, 2155, 4355, 21105, 7969, 0};
static int joe_kuo_d6_initial_number04722[] = {1, 3, 3, 9, 1, 31, 71, 101, 491, 409, 65, 1479, 5743, 525, 2863, 53657, 0};
static int joe_kuo_d6_initial_number04723[] = {1, 1, 3, 1, 17, 63, 55, 11, 125, 447, 275, 2243, 6827, 5753, 32401, 13819, 0};
static int joe_kuo_d6_initial_number04724[] = {1, 1, 3, 9, 21, 47, 5, 127, 285, 471, 1681, 945, 6141, 5651, 10273, 30811, 0};
static int joe_kuo_d6_initial_number04725[] = {1, 3, 3, 1, 13, 53, 91, 3, 255, 429, 107, 2937, 2971, 10251, 15009, 37477, 0};
static int joe_kuo_d6_initial_number04726[] = {1, 1, 7, 13, 21, 63, 73, 3, 63, 491, 101, 1981, 7457, 879, 6243, 22275, 0};
static int joe_kuo_d6_initial_number04727[] = {1, 3, 1, 1, 11, 43, 121, 101, 293, 639, 645, 2723, 2075, 3629, 22105, 18199, 0};
static int joe_kuo_d6_initial_number04728[] = {1, 1, 3, 1, 31, 9, 69, 97, 511, 663, 1147, 1237, 389, 255, 8661, 38533, 0};
static int joe_kuo_d6_initial_number04729[] = {1, 3, 3, 7, 3, 13, 23, 71, 197, 439, 2003, 1771, 8073, 1549, 29089, 5409, 0};
static int joe_kuo_d6_initial_number04730[] = {1, 3, 1, 1, 9, 23, 1, 221, 159, 699, 593, 3385, 3869, 10105, 22097, 34753, 0};
static int joe_kuo_d6_initial_number04731[] = {1, 1, 7, 1, 29, 47, 41, 137, 333, 357, 325, 3151, 6641, 3823, 8763, 28327, 0};
static int joe_kuo_d6_initial_number04732[] = {1, 3, 1, 7, 19, 19, 39, 225, 477, 619, 583, 229, 6177, 9615, 1203, 13711, 0};
static int joe_kuo_d6_initial_number04733[] = {1, 1, 3, 13, 9, 41, 127, 147, 13, 301, 861, 2019, 3517, 1147, 21587, 42387, 0};
static int joe_kuo_d6_initial_number04734[] = {1, 1, 5, 11, 9, 63, 11, 121, 251, 199, 483, 2287, 4667, 3887, 10611, 6019, 0};
static int joe_kuo_d6_initial_number04735[] = {1, 1, 3, 13, 23, 19, 89, 73, 355, 399, 749, 687, 5707, 11443, 817, 38967, 0};
static int joe_kuo_d6_initial_number04736[] = {1, 3, 5, 9, 3, 23, 115, 207, 373, 541, 73, 1285, 7245, 12505, 5787, 61207, 0};
static int joe_kuo_d6_initial_number04737[] = {1, 3, 5, 15, 27, 37, 115, 203, 195, 793, 1577, 1283, 7299, 4025, 5319, 5375, 0};
static int joe_kuo_d6_initial_number04738[] = {1, 1, 7, 15, 25, 19, 61, 11, 215, 771, 1057, 451, 1965, 13693, 25617, 42657, 0};
static int joe_kuo_d6_initial_number04739[] = {1, 3, 3, 7, 1, 19, 23, 217, 175, 901, 2009, 2989, 5111, 5027, 4805, 37843, 0};
static int joe_kuo_d6_initial_number04740[] = {1, 3, 1, 11, 11, 37, 3, 131, 459, 769, 201, 3979, 3009, 8691, 27005, 32175, 0};
static int joe_kuo_d6_initial_number04741[] = {1, 3, 5, 7, 27, 27, 117, 23, 403, 1003, 1501, 785, 6313, 10187, 5085, 30751, 0};
static int joe_kuo_d6_initial_number04742[] = {1, 1, 7, 3, 11, 41, 73, 151, 19, 657, 131, 1901, 3879, 14995, 24085, 56621, 0};
static int joe_kuo_d6_initial_number04743[] = {1, 3, 7, 15, 23, 3, 61, 199, 67, 483, 1961, 3583, 5937, 5749, 16685, 11831, 0};
static int joe_kuo_d6_initial_number04744[] = {1, 1, 3, 15, 25, 15, 97, 9, 299, 641, 883, 2901, 123, 1523, 7055, 15609, 0};
static int joe_kuo_d6_initial_number04745[] = {1, 3, 5, 5, 31, 55, 19, 45, 239, 543, 2005, 1041, 1711, 11059, 19927, 17475, 0};
static int joe_kuo_d6_initial_number04746[] = {1, 1, 3, 9, 5, 59, 105, 209, 323, 613, 1963, 2227, 2947, 11761, 21375, 13265, 0};
static int joe_kuo_d6_initial_number04747[] = {1, 3, 3, 15, 1, 5, 117, 37, 93, 243, 305, 2299, 5163, 9205, 28761, 35987, 0};
static int joe_kuo_d6_initial_number04748[] = {1, 1, 1, 5, 5, 29, 13, 147, 457, 187, 1729, 1547, 7745, 13155, 7833, 57449, 0};
static int joe_kuo_d6_initial_number04749[] = {1, 3, 3, 13, 1, 51, 49, 253, 23, 389, 1611, 3045, 5909, 3947, 25105, 3327, 0};
static int joe_kuo_d6_initial_number04750[] = {1, 3, 1, 11, 15, 47, 19, 15, 231, 57, 763, 1879, 1765, 14861, 22893, 19437, 0};
static int joe_kuo_d6_initial_number04751[] = {1, 1, 3, 15, 1, 19, 85, 65, 139, 629, 361, 3513, 3807, 799, 8349, 29247, 0};
static int joe_kuo_d6_initial_number04752[] = {1, 3, 3, 13, 9, 11, 65, 201, 471, 89, 355, 121, 3947, 10775, 3599, 6041, 0};
static int joe_kuo_d6_initial_number04753[] = {1, 3, 7, 3, 5, 53, 33, 167, 431, 129, 1449, 3263, 7691, 12569, 7551, 41101, 0};
static int joe_kuo_d6_initial_number04754[] = {1, 1, 3, 15, 9, 41, 5, 239, 361, 773, 955, 3663, 6051, 12889, 5841, 59615, 0};
static int joe_kuo_d6_initial_number04755[] = {1, 1, 7, 5, 5, 33, 97, 9, 495, 845, 1953, 3533, 5715, 15055, 25211, 9351, 0};
static int joe_kuo_d6_initial_number04756[] = {1, 3, 1, 11, 25, 37, 83, 153, 289, 739, 353, 1121, 7641, 2081, 28439, 38085, 0};
static int joe_kuo_d6_initial_number04757[] = {1, 3, 1, 1, 27, 9, 63, 135, 395, 641, 1759, 3727, 4371, 5193, 2783, 12389, 0};
static int joe_kuo_d6_initial_number04758[] = {1, 3, 3, 15, 3, 9, 5, 153, 111, 675, 1957, 3817, 4269, 10787, 3413, 34199, 0};
static int joe_kuo_d6_initial_number04759[] = {1, 3, 5, 9, 23, 23, 97, 137, 255, 249, 333, 2329, 1055, 13769, 13109, 33443, 0};
static int joe_kuo_d6_initial_number04760[] = {1, 1, 1, 15, 7, 37, 99, 219, 483, 755, 263, 3523, 6179, 4817, 29873, 12771, 0};
static int joe_kuo_d6_initial_number04761[] = {1, 1, 3, 5, 23, 7, 77, 97, 105, 631, 175, 1911, 7271, 1009, 24081, 61207, 0};
static int joe_kuo_d6_initial_number04762[] = {1, 3, 5, 3, 1, 31, 71, 91, 265, 669, 1839, 3989, 8127, 15001, 1419, 8895, 0};
static int joe_kuo_d6_initial_number04763[] = {1, 3, 1, 13, 27, 51, 93, 155, 49, 991, 653, 203, 3863, 5363, 31969, 36083, 0};
static int joe_kuo_d6_initial_number04764[] = {1, 3, 3, 7, 31, 27, 21, 73, 21, 675, 407, 1215, 2963, 6799, 15259, 13125, 0};
static int joe_kuo_d6_initial_number04765[] = {1, 3, 5, 13, 5, 53, 19, 215, 243, 487, 689, 2519, 6393, 3987, 30847, 37919, 0};
static int joe_kuo_d6_initial_number04766[] = {1, 3, 3, 7, 5, 31, 115, 231, 255, 955, 2023, 1487, 6575, 9873, 22585, 29951, 0};
static int joe_kuo_d6_initial_number04767[] = {1, 3, 5, 11, 11, 57, 109, 203, 417, 29, 1311, 893, 1047, 2413, 9305, 38219, 0};
static int joe_kuo_d6_initial_number04768[] = {1, 3, 1, 7, 23, 51, 113, 3, 105, 915, 1145, 3431, 7331, 3323, 31669, 21485, 0};
static int joe_kuo_d6_initial_number04769[] = {1, 1, 7, 13, 9, 29, 119, 205, 403, 1023, 257, 863, 2983, 1895, 16539, 23385, 0};
static int joe_kuo_d6_initial_number04770[] = {1, 1, 7, 13, 27, 21, 47, 139, 341, 509, 1107, 2197, 3649, 14301, 30789, 48783, 0};
static int joe_kuo_d6_initial_number04771[] = {1, 3, 3, 7, 25, 19, 99, 11, 309, 919, 1809, 3015, 1587, 3779, 1289, 30207, 0};
static int joe_kuo_d6_initial_number04772[] = {1, 3, 5, 11, 9, 43, 57, 171, 9, 151, 173, 2301, 7723, 2083, 319, 52883, 0};
static int joe_kuo_d6_initial_number04773[] = {1, 1, 3, 1, 3, 13, 63, 11, 231, 117, 1257, 237, 581, 13871, 15501, 8741, 0};
static int joe_kuo_d6_initial_number04774[] = {1, 3, 5, 9, 13, 63, 55, 155, 291, 721, 123, 929, 3351, 11651, 12513, 1779, 0};
static int joe_kuo_d6_initial_number04775[] = {1, 3, 7, 3, 31, 5, 61, 81, 465, 639, 1363, 3157, 2401, 9513, 32559, 34477, 0};
static int joe_kuo_d6_initial_number04776[] = {1, 3, 1, 15, 27, 25, 3, 117, 277, 13, 707, 3825, 7287, 10181, 30127, 57247, 0};
static int joe_kuo_d6_initial_number04777[] = {1, 1, 7, 11, 21, 21, 53, 17, 407, 851, 1191, 285, 6815, 1595, 25507, 8099, 0};
static int joe_kuo_d6_initial_number04778[] = {1, 3, 5, 9, 9, 61, 83, 61, 65, 671, 63, 311, 6897, 15327, 29809, 4899, 0};
static int joe_kuo_d6_initial_number04779[] = {1, 1, 7, 1, 21, 45, 99, 235, 477, 461, 1119, 4087, 2057, 14861, 31969, 24357, 0};
static int joe_kuo_d6_initial_number04780[] = {1, 1, 7, 9, 31, 9, 65, 123, 281, 273, 1059, 1625, 6265, 9635, 11563, 45053, 0};
static int joe_kuo_d6_initial_number04781[] = {1, 3, 3, 7, 1, 41, 15, 23, 43, 727, 1271, 1741, 765, 13265, 4145, 1335, 0};
static int joe_kuo_d6_initial_number04782[] = {1, 1, 3, 7, 17, 55, 107, 231, 263, 197, 659, 3621, 2789, 5171, 28635, 13595, 0};
static int joe_kuo_d6_initial_number04783[] = {1, 1, 5, 1, 27, 23, 13, 83, 431, 507, 1571, 1573, 1733, 12171, 8181, 30843, 0};
static int joe_kuo_d6_initial_number04784[] = {1, 3, 7, 11, 1, 53, 107, 39, 497, 579, 453, 1339, 1415, 10317, 2741, 34599, 0};
static int joe_kuo_d6_initial_number04785[] = {1, 3, 3, 5, 31, 41, 49, 41, 33, 665, 1783, 87, 317, 6603, 22603, 22879, 0};
static int joe_kuo_d6_initial_number04786[] = {1, 3, 1, 15, 5, 47, 41, 87, 231, 853, 1615, 2299, 4643, 9249, 15641, 14323, 0};
static int joe_kuo_d6_initial_number04787[] = {1, 3, 7, 9, 5, 45, 55, 153, 31, 247, 67, 2335, 6057, 4379, 27579, 38437, 0};
static int joe_kuo_d6_initial_number04788[] = {1, 1, 5, 7, 9, 3, 73, 81, 479, 909, 1097, 3945, 4485, 7815, 22855, 20825, 0};
static int joe_kuo_d6_initial_number04789[] = {1, 3, 1, 15, 19, 43, 97, 57, 339, 167, 135, 1777, 7681, 9715, 13863, 6347, 0};
static int joe_kuo_d6_initial_number04790[] = {1, 1, 1, 1, 5, 53, 33, 123, 449, 165, 1283, 2977, 5919, 12929, 32073, 61851, 0};
static int joe_kuo_d6_initial_number04791[] = {1, 1, 5, 15, 27, 27, 19, 157, 267, 651, 1319, 3841, 7739, 9947, 16801, 41325, 0};
static int joe_kuo_d6_initial_number04792[] = {1, 3, 7, 9, 19, 7, 83, 95, 401, 293, 437, 1983, 119, 7553, 11097, 11925, 0};
static int joe_kuo_d6_initial_number04793[] = {1, 1, 3, 5, 21, 1, 53, 201, 385, 843, 1801, 99, 2697, 9659, 28789, 31417, 0};
static int joe_kuo_d6_initial_number04794[] = {1, 1, 5, 5, 29, 57, 103, 89, 77, 597, 1849, 3433, 4267, 11167, 3841, 44023, 0};
static int joe_kuo_d6_initial_number04795[] = {1, 1, 7, 1, 21, 47, 113, 253, 249, 431, 1899, 2859, 7345, 5725, 14805, 19999, 0};
static int joe_kuo_d6_initial_number04796[] = {1, 3, 3, 5, 1, 11, 77, 213, 359, 665, 1855, 2743, 2407, 14677, 17957, 63257, 0};
static int joe_kuo_d6_initial_number04797[] = {1, 3, 7, 13, 23, 29, 127, 183, 275, 849, 1005, 3159, 3867, 13029, 7527, 13035, 0};
static int joe_kuo_d6_initial_number04798[] = {1, 1, 1, 15, 29, 47, 81, 225, 77, 879, 1279, 1929, 1457, 2025, 32229, 2847, 0};
static int joe_kuo_d6_initial_number04799[] = {1, 1, 1, 3, 29, 45, 37, 189, 217, 53, 281, 1785, 1929, 763, 5875, 34303, 0};
static int joe_kuo_d6_initial_number04800[] = {1, 3, 1, 9, 21, 61, 21, 149, 215, 13, 1221, 5, 7153, 14089, 3119, 33115, 0};
static int joe_kuo_d6_initial_number04801[] = {1, 3, 7, 11, 7, 57, 89, 185, 485, 649, 1765, 747, 2983, 6791, 25015, 13627, 0};
static int joe_kuo_d6_initial_number04802[] = {1, 1, 1, 9, 11, 53, 77, 203, 425, 237, 487, 2317, 1047, 8277, 23405, 30445, 0};
static int joe_kuo_d6_initial_number04803[] = {1, 1, 3, 5, 7, 29, 39, 195, 109, 381, 655, 931, 4469, 16215, 10627, 64171, 0};
static int joe_kuo_d6_initial_number04804[] = {1, 3, 1, 3, 5, 9, 89, 131, 509, 275, 489, 3161, 3701, 11951, 6579, 42839, 0};
static int joe_kuo_d6_initial_number04805[] = {1, 3, 7, 13, 15, 37, 65, 91, 305, 433, 1815, 169, 3117, 47, 30331, 34863, 0};
static int joe_kuo_d6_initial_number04806[] = {1, 3, 3, 9, 21, 3, 21, 113, 25, 833, 1579, 4021, 3481, 55, 20833, 46277, 0};
static int joe_kuo_d6_initial_number04807[] = {1, 1, 1, 5, 19, 37, 61, 229, 61, 363, 817, 1235, 6235, 7261, 29917, 43057, 0};
static int joe_kuo_d6_initial_number04808[] = {1, 3, 1, 9, 7, 59, 119, 189, 341, 945, 633, 3683, 2589, 15453, 4989, 40055, 0};
static int joe_kuo_d6_initial_number04809[] = {1, 1, 1, 5, 25, 63, 61, 73, 207, 205, 1011, 2857, 8137, 2121, 26731, 46011, 0};
static int joe_kuo_d6_initial_number04810[] = {1, 3, 7, 11, 13, 59, 107, 57, 49, 555, 441, 1771, 4939, 12107, 8263, 16243, 0};
static int joe_kuo_d6_initial_number04811[] = {1, 3, 5, 13, 15, 49, 89, 217, 83, 225, 2001, 2727, 4651, 619, 16473, 47525, 0};
static int joe_kuo_d6_initial_number04812[] = {1, 3, 5, 9, 5, 63, 115, 91, 337, 757, 703, 559, 1683, 14875, 30769, 30331, 0};
static int joe_kuo_d6_initial_number04813[] = {1, 3, 1, 15, 3, 3, 119, 79, 487, 519, 523, 1177, 7105, 12343, 24671, 31711, 0};
static int joe_kuo_d6_initial_number04814[] = {1, 1, 7, 15, 25, 63, 87, 23, 59, 277, 849, 953, 4567, 11309, 26181, 749, 0};
static int joe_kuo_d6_initial_number04815[] = {1, 3, 7, 15, 5, 33, 21, 127, 3, 239, 839, 997, 7253, 8183, 19779, 4185, 0};
static int joe_kuo_d6_initial_number04816[] = {1, 1, 5, 15, 25, 37, 99, 51, 465, 137, 1339, 541, 4319, 9883, 17425, 30743, 0};
static int joe_kuo_d6_initial_number04817[] = {1, 3, 3, 5, 13, 7, 3, 249, 365, 749, 527, 3675, 3005, 12905, 9621, 899, 0};
static int joe_kuo_d6_initial_number04818[] = {1, 3, 3, 7, 29, 31, 69, 21, 365, 1021, 1329, 2623, 3549, 5491, 21293, 63771, 0};
static int joe_kuo_d6_initial_number04819[] = {1, 1, 5, 9, 5, 35, 53, 247, 193, 17, 227, 381, 5233, 821, 3991, 4439, 0};
static int joe_kuo_d6_initial_number04820[] = {1, 1, 7, 15, 5, 59, 27, 167, 489, 335, 1565, 2999, 1777, 5009, 519, 57967, 0};
static int joe_kuo_d6_initial_number04821[] = {1, 1, 1, 11, 25, 47, 23, 155, 419, 863, 1905, 355, 1089, 5871, 10149, 53341, 0};
static int joe_kuo_d6_initial_number04822[] = {1, 1, 7, 7, 29, 55, 127, 83, 33, 309, 2017, 1021, 5987, 1101, 13657, 60587, 0};
static int joe_kuo_d6_initial_number04823[] = {1, 1, 1, 7, 3, 1, 9, 75, 257, 407, 659, 529, 2087, 14759, 14483, 36425, 0};
static int joe_kuo_d6_initial_number04824[] = {1, 3, 7, 3, 11, 29, 113, 255, 301, 799, 1171, 3721, 135, 3467, 7109, 50339, 0};
static int joe_kuo_d6_initial_number04825[] = {1, 1, 1, 7, 21, 25, 15, 31, 61, 491, 57, 189, 2033, 4363, 31295, 16313, 0};
static int joe_kuo_d6_initial_number04826[] = {1, 1, 5, 1, 5, 17, 33, 77, 483, 469, 355, 2245, 4165, 459, 30411, 29507, 0};
static int joe_kuo_d6_initial_number04827[] = {1, 1, 3, 13, 1, 27, 29, 85, 491, 787, 1157, 1299, 4743, 14795, 32587, 12807, 0};
static int joe_kuo_d6_initial_number04828[] = {1, 3, 3, 1, 23, 45, 35, 129, 3, 55, 969, 2387, 3929, 10397, 19879, 2723, 0};
static int joe_kuo_d6_initial_number04829[] = {1, 1, 1, 7, 19, 3, 9, 23, 497, 347, 2039, 913, 5925, 7965, 5789, 40949, 0};
static int joe_kuo_d6_initial_number04830[] = {1, 1, 7, 1, 29, 61, 89, 3, 133, 647, 1585, 2661, 1875, 1859, 3937, 12707, 0};
static int joe_kuo_d6_initial_number04831[] = {1, 3, 3, 7, 25, 11, 41, 149, 427, 463, 901, 2433, 2617, 13511, 3443, 39867, 0};
static int joe_kuo_d6_initial_number04832[] = {1, 1, 1, 5, 27, 33, 103, 251, 201, 1023, 1979, 3745, 6365, 14945, 22153, 55535, 0};
static int joe_kuo_d6_initial_number04833[] = {1, 3, 1, 15, 23, 25, 57, 215, 111, 181, 385, 1123, 3095, 7085, 31863, 37393, 0};
static int joe_kuo_d6_initial_number04834[] = {1, 3, 5, 13, 17, 35, 27, 159, 255, 241, 413, 1823, 5329, 1825, 28489, 58763, 0};
static int joe_kuo_d6_initial_number04835[] = {1, 3, 1, 15, 3, 33, 97, 27, 409, 889, 409, 2315, 4743, 14827, 3037, 57149, 0};
static int joe_kuo_d6_initial_number04836[] = {1, 1, 3, 5, 19, 63, 93, 51, 233, 715, 1571, 1101, 2751, 14805, 25683, 13323, 0};
static int joe_kuo_d6_initial_number04837[] = {1, 3, 7, 3, 21, 15, 117, 179, 263, 229, 199, 2597, 3999, 3037, 3801, 4775, 0};
static int joe_kuo_d6_initial_number04838[] = {1, 3, 3, 15, 1, 15, 49, 91, 383, 21, 1955, 773, 1213, 5971, 19525, 8699, 0};
static int joe_kuo_d6_initial_number04839[] = {1, 3, 1, 15, 29, 49, 11, 101, 261, 761, 709, 3811, 4055, 15675, 32305, 15173, 0};
static int joe_kuo_d6_initial_number04840[] = {1, 1, 1, 3, 9, 41, 127, 23, 413, 461, 237, 1595, 2257, 2971, 31845, 61485, 0};
static int joe_kuo_d6_initial_number04841[] = {1, 1, 1, 11, 23, 13, 63, 21, 23, 209, 1317, 1071, 3619, 7275, 9343, 21455, 0};
static int joe_kuo_d6_initial_number04842[] = {1, 1, 5, 9, 31, 35, 41, 249, 477, 569, 1175, 1571, 4679, 10337, 3507, 23415, 0};
static int joe_kuo_d6_initial_number04843[] = {1, 3, 5, 11, 29, 3, 117, 65, 301, 913, 1709, 1765, 1801, 15513, 31495, 38131, 0};
static int joe_kuo_d6_initial_number04844[] = {1, 3, 5, 11, 27, 3, 71, 195, 81, 313, 505, 3941, 3797, 2031, 24151, 65085, 0};
static int joe_kuo_d6_initial_number04845[] = {1, 1, 1, 5, 13, 17, 59, 151, 191, 489, 1267, 3207, 4495, 15145, 12789, 46313, 0};
static int joe_kuo_d6_initial_number04846[] = {1, 3, 1, 7, 29, 9, 25, 31, 33, 527, 1939, 4089, 333, 757, 8895, 25331, 0};
static int joe_kuo_d6_initial_number04847[] = {1, 1, 1, 1, 9, 27, 11, 205, 211, 141, 1171, 1881, 4029, 10587, 30103, 39661, 0};
static int joe_kuo_d6_initial_number04848[] = {1, 1, 3, 3, 23, 3, 23, 175, 355, 753, 183, 1331, 6403, 3369, 29891, 11109, 0};
static int joe_kuo_d6_initial_number04849[] = {1, 3, 7, 3, 17, 25, 95, 145, 135, 525, 1073, 1841, 3951, 2027, 23053, 19699, 0};
static int joe_kuo_d6_initial_number04850[] = {1, 1, 5, 3, 11, 43, 117, 67, 299, 885, 1095, 2777, 8185, 14331, 29543, 655, 0};
static int joe_kuo_d6_initial_number04851[] = {1, 3, 7, 7, 3, 59, 127, 147, 323, 713, 99, 1179, 6395, 1821, 12673, 35587, 0};
static int joe_kuo_d6_initial_number04852[] = {1, 3, 5, 3, 7, 11, 33, 87, 99, 967, 1443, 1585, 6215, 15125, 30747, 21513, 0};
static int joe_kuo_d6_initial_number04853[] = {1, 3, 7, 11, 23, 5, 91, 171, 229, 601, 833, 3157, 1691, 15081, 20607, 7643, 0};
static int joe_kuo_d6_initial_number04854[] = {1, 1, 3, 1, 5, 1, 39, 59, 157, 7, 601, 2079, 3045, 3693, 26511, 13245, 0};
static int joe_kuo_d6_initial_number04855[] = {1, 3, 5, 9, 9, 27, 83, 135, 185, 379, 2027, 1407, 7409, 7363, 26471, 35907, 0};
static int joe_kuo_d6_initial_number04856[] = {1, 3, 7, 15, 29, 49, 1, 69, 383, 915, 183, 3809, 4511, 8751, 4715, 7033, 0};
static int joe_kuo_d6_initial_number04857[] = {1, 3, 3, 3, 1, 17, 71, 233, 243, 933, 1165, 3089, 3565, 6521, 13203, 13065, 0};
static int joe_kuo_d6_initial_number04858[] = {1, 1, 5, 9, 9, 55, 53, 129, 331, 943, 587, 2573, 2247, 15101, 4987, 62983, 0};
static int joe_kuo_d6_initial_number04859[] = {1, 3, 1, 13, 11, 43, 45, 127, 129, 857, 669, 321, 3915, 4477, 26973, 19911, 0};
static int joe_kuo_d6_initial_number04860[] = {1, 3, 1, 13, 15, 3, 83, 23, 13, 441, 953, 2373, 3539, 4895, 26327, 61961, 0};
static int joe_kuo_d6_initial_number04861[] = {1, 1, 5, 13, 23, 11, 125, 83, 339, 901, 1809, 2691, 3789, 15007, 10569, 65399, 0};
static int joe_kuo_d6_initial_number04862[] = {1, 3, 1, 1, 17, 27, 105, 199, 435, 245, 1227, 3029, 3911, 1021, 2931, 24957, 0};
static int joe_kuo_d6_initial_number04863[] = {1, 3, 1, 11, 17, 5, 123, 39, 413, 627, 1149, 3925, 6635, 8959, 31387, 65047, 0};
static int joe_kuo_d6_initial_number04864[] = {1, 3, 5, 1, 23, 41, 93, 217, 21, 115, 1311, 3901, 2559, 2925, 30755, 7575, 0};
static int joe_kuo_d6_initial_number04865[] = {1, 1, 3, 9, 13, 11, 63, 171, 135, 983, 1679, 395, 7349, 5153, 26405, 40589, 0};
static int joe_kuo_d6_initial_number04866[] = {1, 3, 7, 13, 27, 47, 53, 169, 85, 871, 1087, 619, 7399, 9719, 6349, 59211, 0};
static int joe_kuo_d6_initial_number04867[] = {1, 3, 3, 15, 31, 45, 3, 33, 11, 879, 929, 1977, 1939, 1049, 16159, 41515, 0};
static int joe_kuo_d6_initial_number04868[] = {1, 3, 5, 11, 9, 27, 13, 23, 127, 747, 1121, 2497, 8141, 8601, 12431, 3243, 0};
static int joe_kuo_d6_initial_number04869[] = {1, 3, 7, 15, 23, 43, 23, 225, 283, 13, 1837, 2089, 6435, 10121, 22307, 58767, 0};
static int joe_kuo_d6_initial_number04870[] = {1, 1, 5, 11, 17, 3, 41, 221, 143, 669, 261, 1367, 7813, 15265, 32751, 62007, 0};
static int joe_kuo_d6_initial_number04871[] = {1, 1, 1, 1, 5, 45, 41, 161, 327, 185, 1403, 485, 2831, 10025, 12555, 47661, 0};
static int joe_kuo_d6_initial_number04872[] = {1, 3, 7, 1, 31, 55, 87, 83, 439, 929, 653, 4095, 5443, 7361, 27801, 12979, 0};
static int joe_kuo_d6_initial_number04873[] = {1, 3, 1, 7, 1, 57, 11, 145, 55, 269, 711, 1889, 8023, 7171, 3247, 35691, 0};
static int joe_kuo_d6_initial_number04874[] = {1, 1, 1, 3, 15, 1, 15, 131, 479, 797, 815, 2343, 1603, 10775, 21341, 20825, 0};
static int joe_kuo_d6_initial_number04875[] = {1, 3, 5, 9, 3, 27, 31, 117, 441, 177, 215, 3991, 3197, 8397, 19195, 3883, 0};
static int joe_kuo_d6_initial_number04876[] = {1, 1, 5, 13, 1, 19, 13, 27, 157, 1001, 43, 251, 7997, 7495, 16515, 44287, 0};
static int joe_kuo_d6_initial_number04877[] = {1, 1, 3, 5, 17, 57, 117, 53, 413, 905, 551, 149, 7531, 14885, 32493, 34961, 0};
static int joe_kuo_d6_initial_number04878[] = {1, 3, 3, 7, 27, 1, 7, 13, 259, 21, 189, 451, 6171, 3603, 12053, 45619, 0};
static int joe_kuo_d6_initial_number04879[] = {1, 1, 7, 11, 5, 41, 59, 119, 419, 93, 1399, 629, 1269, 3789, 17035, 61583, 0};
static int joe_kuo_d6_initial_number04880[] = {1, 3, 5, 11, 1, 11, 59, 83, 473, 273, 839, 3111, 3081, 10159, 6143, 16297, 0};
static int joe_kuo_d6_initial_number04881[] = {1, 1, 5, 15, 25, 15, 17, 63, 275, 927, 189, 89, 6595, 4399, 27201, 57205, 0};
static int joe_kuo_d6_initial_number04882[] = {1, 1, 7, 3, 31, 17, 63, 203, 321, 655, 1751, 2985, 3291, 11567, 15135, 49747, 0};
static int joe_kuo_d6_initial_number04883[] = {1, 3, 5, 13, 27, 25, 89, 39, 299, 833, 1269, 271, 6481, 3045, 7203, 20279, 0};
static int joe_kuo_d6_initial_number04884[] = {1, 3, 1, 1, 29, 13, 13, 37, 33, 563, 1825, 3257, 3153, 963, 25801, 15861, 0};
static int joe_kuo_d6_initial_number04885[] = {1, 3, 5, 11, 15, 7, 49, 117, 479, 221, 579, 2995, 1673, 14927, 2869, 35547, 0};
static int joe_kuo_d6_initial_number04886[] = {1, 3, 1, 11, 31, 11, 77, 161, 183, 187, 1967, 3037, 4441, 10547, 1443, 8619, 0};
static int joe_kuo_d6_initial_number04887[] = {1, 1, 3, 11, 27, 41, 83, 179, 293, 421, 1395, 1673, 6375, 9801, 14265, 18117, 0};
static int joe_kuo_d6_initial_number04888[] = {1, 1, 3, 7, 9, 19, 55, 235, 499, 637, 1121, 3583, 8007, 3749, 20903, 6179, 0};
static int joe_kuo_d6_initial_number04889[] = {1, 3, 7, 13, 9, 55, 125, 77, 395, 9, 2005, 2247, 1609, 6805, 13099, 26367, 0};
static int joe_kuo_d6_initial_number04890[] = {1, 3, 5, 13, 9, 41, 49, 133, 443, 995, 209, 341, 8013, 11037, 29663, 21161, 0};
static int joe_kuo_d6_initial_number04891[] = {1, 3, 1, 1, 1, 47, 45, 243, 161, 433, 129, 39, 4885, 8777, 6395, 16953, 0};
static int joe_kuo_d6_initial_number04892[] = {1, 3, 3, 15, 11, 13, 41, 113, 279, 657, 763, 2411, 7115, 463, 10759, 50493, 0};
static int joe_kuo_d6_initial_number04893[] = {1, 1, 5, 5, 31, 5, 25, 181, 385, 445, 625, 313, 4983, 11763, 6065, 63835, 0};
static int joe_kuo_d6_initial_number04894[] = {1, 3, 3, 15, 13, 25, 103, 5, 205, 223, 1327, 73, 677, 6751, 2071, 24963, 0};
static int joe_kuo_d6_initial_number04895[] = {1, 1, 7, 15, 21, 61, 21, 11, 47, 775, 113, 991, 1943, 1459, 18049, 45025, 0};
static int joe_kuo_d6_initial_number04896[] = {1, 3, 3, 1, 11, 43, 27, 89, 49, 711, 173, 181, 1261, 2751, 21321, 5467, 0};
static int joe_kuo_d6_initial_number04897[] = {1, 3, 3, 7, 17, 7, 57, 61, 87, 973, 985, 1849, 559, 7319, 11457, 46071, 0};
static int joe_kuo_d6_initial_number04898[] = {1, 1, 1, 1, 9, 37, 99, 157, 423, 189, 1355, 3983, 6357, 10825, 26517, 45815, 0};
static int joe_kuo_d6_initial_number04899[] = {1, 1, 3, 11, 23, 33, 57, 55, 59, 831, 339, 725, 359, 14859, 17523, 36149, 0};
static int joe_kuo_d6_initial_number04900[] = {1, 1, 5, 5, 27, 29, 47, 147, 153, 801, 1737, 3617, 5447, 8011, 30631, 7921, 0};
static int joe_kuo_d6_initial_number04901[] = {1, 1, 5, 1, 11, 43, 35, 105, 69, 453, 1023, 875, 6755, 6015, 12449, 50235, 0};
static int joe_kuo_d6_initial_number04902[] = {1, 3, 1, 5, 29, 31, 43, 89, 369, 891, 1447, 353, 8103, 2555, 1197, 64005, 0};
static int joe_kuo_d6_initial_number04903[] = {1, 3, 3, 9, 21, 33, 117, 205, 473, 289, 1699, 2361, 7083, 13001, 24127, 48611, 0};
static int joe_kuo_d6_initial_number04904[] = {1, 3, 3, 15, 3, 23, 79, 139, 475, 511, 181, 1331, 6137, 2653, 14071, 16947, 0};
static int joe_kuo_d6_initial_number04905[] = {1, 3, 3, 1, 11, 47, 51, 217, 305, 599, 1609, 237, 4537, 5377, 717, 13269, 0};
static int joe_kuo_d6_initial_number04906[] = {1, 1, 7, 3, 19, 31, 1, 173, 509, 817, 785, 1223, 5585, 8911, 643, 44575, 0};
static int joe_kuo_d6_initial_number04907[] = {1, 1, 3, 11, 5, 11, 31, 129, 269, 369, 1833, 2885, 441, 11517, 2323, 26735, 0};
static int joe_kuo_d6_initial_number04908[] = {1, 1, 5, 9, 7, 51, 31, 21, 5, 157, 541, 2939, 4569, 1679, 17467, 27995, 0};
static int joe_kuo_d6_initial_number04909[] = {1, 1, 7, 3, 21, 33, 85, 213, 41, 851, 1947, 3205, 5065, 6079, 30789, 63677, 0};
static int joe_kuo_d6_initial_number04910[] = {1, 1, 5, 3, 9, 53, 3, 179, 157, 407, 537, 1193, 4645, 13791, 28153, 11349, 0};
static int joe_kuo_d6_initial_number04911[] = {1, 1, 7, 13, 25, 61, 9, 151, 263, 143, 1583, 2859, 6617, 8861, 4163, 40695, 0};
static int joe_kuo_d6_initial_number04912[] = {1, 1, 1, 1, 7, 25, 19, 207, 335, 1019, 1919, 3893, 831, 12421, 4667, 38967, 0};
static int joe_kuo_d6_initial_number04913[] = {1, 3, 5, 3, 5, 51, 81, 9, 425, 333, 451, 2569, 2771, 12145, 26065, 14385, 0};
static int joe_kuo_d6_initial_number04914[] = {1, 1, 3, 7, 3, 49, 17, 147, 327, 331, 1197, 7, 3703, 15247, 9723, 52819, 0};
static int joe_kuo_d6_initial_number04915[] = {1, 3, 3, 7, 27, 21, 117, 229, 255, 603, 195, 1049, 6243, 13593, 14553, 8267, 0};
static int joe_kuo_d6_initial_number04916[] = {1, 1, 5, 15, 9, 53, 1, 187, 79, 151, 321, 1883, 6105, 13879, 8201, 53213, 0};
static int joe_kuo_d6_initial_number04917[] = {1, 1, 1, 7, 21, 27, 103, 147, 351, 901, 1927, 2145, 2685, 453, 15173, 7371, 0};
static int joe_kuo_d6_initial_number04918[] = {1, 1, 3, 5, 21, 27, 125, 77, 395, 27, 827, 3617, 6033, 1511, 29461, 18907, 0};
static int joe_kuo_d6_initial_number04919[] = {1, 3, 5, 3, 3, 27, 75, 129, 441, 831, 1213, 2499, 5829, 12181, 7991, 58167, 0};
static int joe_kuo_d6_initial_number04920[] = {1, 1, 1, 9, 3, 33, 85, 135, 45, 405, 1731, 551, 1251, 7895, 3975, 41621, 0};
static int joe_kuo_d6_initial_number04921[] = {1, 3, 5, 7, 19, 19, 25, 7, 477, 569, 1089, 2705, 6157, 10279, 14029, 36229, 0};
static int joe_kuo_d6_initial_number04922[] = {1, 3, 7, 3, 5, 19, 99, 137, 67, 361, 2021, 2891, 1957, 14961, 22673, 45707, 0};
static int joe_kuo_d6_initial_number04923[] = {1, 3, 7, 1, 21, 11, 81, 225, 151, 235, 1761, 3875, 7427, 11213, 27023, 17945, 0};
static int joe_kuo_d6_initial_number04924[] = {1, 1, 7, 1, 3, 1, 3, 123, 39, 769, 1467, 1907, 7833, 2099, 19, 54653, 0};
static int joe_kuo_d6_initial_number04925[] = {1, 1, 1, 3, 25, 35, 33, 111, 407, 497, 1527, 3999, 3083, 6221, 8319, 56959, 0};
static int joe_kuo_d6_initial_number04926[] = {1, 1, 3, 15, 21, 49, 113, 11, 191, 801, 1835, 3413, 3379, 13129, 3655, 23885, 0};
static int joe_kuo_d6_initial_number04927[] = {1, 3, 1, 5, 21, 57, 87, 133, 409, 325, 569, 2099, 8143, 315, 23287, 21905, 0};
static int joe_kuo_d6_initial_number04928[] = {1, 1, 5, 5, 21, 43, 25, 169, 265, 123, 81, 2683, 6137, 7341, 16383, 26435, 0};
static int joe_kuo_d6_initial_number04929[] = {1, 3, 1, 5, 23, 17, 125, 173, 3, 829, 693, 751, 8021, 3701, 32643, 35405, 0};
static int joe_kuo_d6_initial_number04930[] = {1, 1, 3, 1, 31, 13, 1, 195, 435, 487, 961, 1681, 1233, 6001, 3113, 29515, 0};
static int joe_kuo_d6_initial_number04931[] = {1, 1, 7, 5, 9, 41, 81, 137, 257, 337, 1837, 145, 4191, 6313, 9991, 25541, 0};
static int joe_kuo_d6_initial_number04932[] = {1, 1, 5, 13, 29, 13, 1, 117, 501, 991, 571, 793, 1433, 6005, 19, 61135, 0};
static int joe_kuo_d6_initial_number04933[] = {1, 1, 7, 1, 9, 43, 65, 69, 297, 331, 1777, 1843, 6477, 13943, 1301, 51001, 0};
static int joe_kuo_d6_initial_number04934[] = {1, 1, 1, 3, 7, 35, 23, 211, 33, 649, 255, 1831, 635, 9965, 16679, 14531, 0};
static int joe_kuo_d6_initial_number04935[] = {1, 1, 1, 13, 23, 57, 113, 247, 321, 401, 1761, 4001, 1823, 14457, 5251, 4965, 0};
static int joe_kuo_d6_initial_number04936[] = {1, 1, 5, 5, 31, 5, 53, 103, 297, 575, 1577, 2217, 977, 14415, 16953, 14793, 0};
static int joe_kuo_d6_initial_number04937[] = {1, 1, 5, 7, 9, 19, 25, 29, 121, 563, 1707, 901, 6167, 10799, 11897, 31187, 0};
static int joe_kuo_d6_initial_number04938[] = {1, 1, 5, 9, 17, 39, 89, 29, 251, 259, 411, 819, 6037, 4601, 11481, 46141, 0};
static int joe_kuo_d6_initial_number04939[] = {1, 1, 1, 15, 23, 9, 65, 95, 189, 93, 1485, 2417, 5183, 5513, 26623, 42637, 0};
static int joe_kuo_d6_initial_number04940[] = {1, 1, 5, 5, 3, 3, 113, 161, 463, 225, 1089, 2023, 2341, 14931, 28097, 56365, 0};
static int joe_kuo_d6_initial_number04941[] = {1, 1, 5, 9, 9, 3, 109, 141, 27, 473, 107, 4023, 3279, 7595, 13289, 35649, 0};
static int joe_kuo_d6_initial_number04942[] = {1, 1, 5, 3, 9, 37, 73, 153, 487, 57, 2035, 3583, 239, 2183, 10903, 171, 0};
static int joe_kuo_d6_initial_number04943[] = {1, 3, 3, 15, 23, 39, 87, 217, 451, 597, 1817, 2883, 145, 11341, 16015, 16765, 0};
static int joe_kuo_d6_initial_number04944[] = {1, 1, 7, 5, 19, 61, 45, 37, 473, 883, 277, 2801, 13, 7021, 3851, 53223, 0};
static int joe_kuo_d6_initial_number04945[] = {1, 3, 3, 9, 1, 35, 97, 237, 279, 541, 1911, 661, 7603, 8183, 22071, 37317, 0};
static int joe_kuo_d6_initial_number04946[] = {1, 3, 3, 11, 11, 63, 101, 71, 227, 259, 1545, 2779, 3859, 4859, 18957, 31749, 0};
static int joe_kuo_d6_initial_number04947[] = {1, 3, 3, 1, 27, 29, 91, 215, 381, 607, 1701, 1709, 247, 12403, 29943, 59533, 0};
static int joe_kuo_d6_initial_number04948[] = {1, 1, 7, 1, 11, 23, 47, 141, 37, 881, 1443, 3921, 3281, 7417, 1549, 50653, 0};
static int joe_kuo_d6_initial_number04949[] = {1, 1, 7, 11, 23, 61, 17, 39, 373, 871, 1107, 1875, 1419, 3981, 1333, 11485, 0};
static int joe_kuo_d6_initial_number04950[] = {1, 1, 7, 11, 21, 51, 127, 145, 129, 425, 1263, 1989, 699, 7317, 24827, 15049, 0};
static int joe_kuo_d6_initial_number04951[] = {1, 1, 1, 11, 9, 59, 59, 67, 329, 841, 905, 467, 1905, 895, 29711, 25585, 0};
static int joe_kuo_d6_initial_number04952[] = {1, 1, 1, 15, 3, 39, 11, 205, 297, 383, 445, 2139, 2935, 2399, 22237, 20355, 0};
static int joe_kuo_d6_initial_number04953[] = {1, 3, 7, 7, 17, 9, 17, 205, 369, 1019, 1703, 755, 5507, 14749, 16461, 14519, 0};
static int joe_kuo_d6_initial_number04954[] = {1, 3, 7, 3, 5, 31, 97, 35, 43, 249, 773, 4033, 6085, 1241, 24743, 22415, 0};
static int joe_kuo_d6_initial_number04955[] = {1, 3, 7, 3, 17, 11, 45, 203, 251, 669, 1463, 1897, 7913, 2315, 30307, 15431, 0};
static int joe_kuo_d6_initial_number04956[] = {1, 1, 5, 5, 7, 53, 83, 13, 1, 841, 423, 1059, 3951, 14209, 11113, 13931, 0};
static int joe_kuo_d6_initial_number04957[] = {1, 3, 3, 5, 5, 15, 11, 71, 237, 553, 829, 3653, 4991, 1003, 8353, 52173, 0};
static int joe_kuo_d6_initial_number04958[] = {1, 3, 3, 9, 27, 39, 83, 137, 315, 883, 1155, 3541, 3815, 10633, 13277, 20269, 0};
static int joe_kuo_d6_initial_number04959[] = {1, 3, 3, 15, 13, 55, 43, 19, 345, 351, 1117, 1747, 1949, 3195, 12241, 52441, 0};
static int joe_kuo_d6_initial_number04960[] = {1, 1, 3, 5, 1, 11, 113, 117, 37, 103, 1681, 3269, 1659, 14779, 30479, 31123, 0};
static int joe_kuo_d6_initial_number04961[] = {1, 3, 7, 13, 1, 63, 9, 63, 65, 737, 785, 1713, 8123, 10053, 29871, 17647, 0};
static int joe_kuo_d6_initial_number04962[] = {1, 1, 3, 5, 17, 45, 71, 37, 283, 145, 1927, 75, 7355, 4681, 2777, 31465, 0};
static int joe_kuo_d6_initial_number04963[] = {1, 1, 3, 7, 21, 19, 113, 89, 67, 751, 99, 421, 201, 6345, 9473, 39849, 0};
static int joe_kuo_d6_initial_number04964[] = {1, 1, 5, 11, 31, 57, 75, 79, 393, 745, 1435, 3039, 1175, 983, 923, 42867, 0};
static int joe_kuo_d6_initial_number04965[] = {1, 1, 5, 9, 31, 47, 31, 61, 85, 651, 1733, 3973, 1979, 7223, 13817, 30593, 0};
static int joe_kuo_d6_initial_number04966[] = {1, 1, 1, 11, 31, 21, 23, 177, 401, 55, 537, 3775, 3241, 15157, 11849, 15629, 0};
static int joe_kuo_d6_initial_number04967[] = {1, 1, 1, 13, 31, 53, 79, 57, 35, 617, 61, 89, 6917, 6045, 23879, 45485, 0};
static int joe_kuo_d6_initial_number04968[] = {1, 3, 7, 7, 3, 43, 57, 243, 107, 321, 273, 2171, 2069, 6171, 29181, 8281, 0};
static int joe_kuo_d6_initial_number04969[] = {1, 1, 1, 11, 3, 27, 51, 57, 81, 795, 1673, 2601, 7335, 16243, 863, 20663, 0};
static int joe_kuo_d6_initial_number04970[] = {1, 1, 5, 9, 7, 19, 31, 87, 509, 899, 1133, 1609, 2163, 7595, 10523, 43181, 0};
static int joe_kuo_d6_initial_number04971[] = {1, 1, 1, 7, 21, 53, 103, 43, 507, 317, 685, 1329, 7057, 7275, 2277, 28271, 0};
static int joe_kuo_d6_initial_number04972[] = {1, 1, 7, 7, 3, 35, 81, 81, 261, 587, 1571, 2771, 4653, 6517, 25101, 56753, 0};
static int joe_kuo_d6_initial_number04973[] = {1, 3, 1, 11, 17, 61, 29, 137, 7, 929, 393, 2513, 2423, 5457, 6285, 12525, 0};
static int joe_kuo_d6_initial_number04974[] = {1, 3, 1, 9, 25, 63, 17, 45, 439, 591, 273, 877, 7741, 8381, 32277, 24635, 0};
static int joe_kuo_d6_initial_number04975[] = {1, 3, 1, 5, 19, 11, 17, 175, 297, 77, 961, 3331, 5193, 14347, 12713, 32067, 0};
static int joe_kuo_d6_initial_number04976[] = {1, 1, 5, 11, 3, 17, 13, 21, 219, 653, 1279, 1657, 7659, 14459, 27661, 38093, 0};
static int joe_kuo_d6_initial_number04977[] = {1, 3, 7, 7, 29, 17, 67, 35, 451, 91, 919, 3163, 7459, 14971, 4317, 42503, 0};
static int joe_kuo_d6_initial_number04978[] = {1, 3, 3, 15, 7, 61, 69, 211, 349, 97, 911, 503, 3903, 12327, 11049, 29387, 0};
static int joe_kuo_d6_initial_number04979[] = {1, 1, 7, 3, 5, 7, 63, 237, 387, 931, 693, 1143, 6545, 8529, 25217, 53087, 0};
static int joe_kuo_d6_initial_number04980[] = {1, 1, 5, 7, 1, 13, 21, 169, 259, 289, 437, 649, 4905, 15261, 29997, 34043, 0};
static int joe_kuo_d6_initial_number04981[] = {1, 1, 1, 9, 25, 13, 19, 229, 29, 213, 1941, 1501, 3463, 15761, 15635, 39687, 0};
static int joe_kuo_d6_initial_number04982[] = {1, 1, 5, 7, 13, 29, 101, 57, 483, 913, 1025, 2139, 4327, 7847, 12455, 41797, 0};
static int joe_kuo_d6_initial_number04983[] = {1, 1, 3, 11, 17, 27, 97, 79, 411, 9, 1797, 3721, 5291, 859, 8889, 6151, 0};
static int joe_kuo_d6_initial_number04984[] = {1, 1, 1, 5, 17, 61, 45, 187, 157, 301, 1017, 1507, 6031, 4271, 32593, 23739, 0};
static int joe_kuo_d6_initial_number04985[] = {1, 1, 3, 11, 31, 39, 7, 169, 15, 799, 1585, 2055, 4683, 13247, 23743, 50399, 0};
static int joe_kuo_d6_initial_number04986[] = {1, 1, 1, 9, 25, 37, 15, 39, 339, 383, 1153, 1211, 5745, 15249, 26021, 39871, 0};
static int joe_kuo_d6_initial_number04987[] = {1, 1, 3, 13, 17, 51, 27, 137, 231, 877, 309, 3633, 2575, 12259, 2743, 14781, 0};
static int joe_kuo_d6_initial_number04988[] = {1, 1, 5, 7, 5, 33, 95, 19, 37, 829, 1489, 3525, 3887, 8277, 21867, 3581, 0};
static int joe_kuo_d6_initial_number04989[] = {1, 1, 1, 15, 11, 33, 99, 213, 365, 549, 1603, 777, 3787, 12209, 14999, 50607, 0};
static int joe_kuo_d6_initial_number04990[] = {1, 3, 1, 9, 23, 25, 57, 147, 73, 285, 1229, 1763, 4579, 14771, 4003, 38197, 0};
static int joe_kuo_d6_initial_number04991[] = {1, 1, 5, 1, 15, 55, 25, 209, 135, 895, 311, 139, 2445, 6903, 12129, 27907, 0};
static int joe_kuo_d6_initial_number04992[] = {1, 1, 5, 7, 23, 29, 33, 135, 325, 517, 2021, 1721, 4235, 2363, 12905, 18811, 0};
static int joe_kuo_d6_initial_number04993[] = {1, 1, 1, 9, 3, 19, 69, 29, 157, 787, 1969, 3711, 8179, 5691, 4059, 25541, 0};
static int joe_kuo_d6_initial_number04994[] = {1, 1, 5, 15, 1, 61, 11, 195, 317, 13, 923, 2149, 4001, 12843, 27109, 30625, 0};
static int joe_kuo_d6_initial_number04995[] = {1, 3, 1, 7, 3, 13, 45, 187, 445, 859, 53, 3227, 4381, 8273, 32699, 48719, 0};
static int joe_kuo_d6_initial_number04996[] = {1, 1, 7, 7, 21, 19, 47, 101, 119, 311, 577, 3309, 4585, 12109, 15153, 22915, 0};
static int joe_kuo_d6_initial_number04997[] = {1, 3, 5, 15, 21, 39, 15, 211, 349, 237, 1873, 3333, 7837, 12811, 14321, 20227, 0};
static int joe_kuo_d6_initial_number04998[] = {1, 1, 5, 5, 19, 47, 15, 239, 23, 763, 537, 1477, 2231, 10885, 19487, 47385, 0};
static int joe_kuo_d6_initial_number04999[] = {1, 1, 3, 1, 19, 37, 67, 85, 11, 817, 869, 2249, 4111, 12411, 10405, 20055, 0};
static int joe_kuo_d6_initial_number05000[] = {1, 1, 3, 3, 1, 41, 85, 137, 91, 369, 1863, 759, 303, 15859, 8063, 12811, 0};
static int joe_kuo_d6_initial_number05001[] = {1, 3, 1, 11, 23, 1, 11, 219, 201, 573, 1573, 619, 2959, 6485, 7483, 46099, 0};
static int joe_kuo_d6_initial_number05002[] = {1, 3, 3, 9, 13, 9, 9, 255, 47, 375, 409, 1435, 1665, 14967, 3247, 18193, 0};
static int joe_kuo_d6_initial_number05003[] = {1, 1, 1, 5, 9, 61, 121, 173, 51, 415, 1621, 3947, 1379, 847, 23187, 39259, 0};
static int joe_kuo_d6_initial_number05004[] = {1, 1, 1, 7, 3, 19, 95, 59, 187, 453, 1533, 445, 2699, 4817, 25983, 50925, 0};
static int joe_kuo_d6_initial_number05005[] = {1, 3, 5, 13, 25, 25, 33, 5, 497, 1, 535, 1653, 6541, 10939, 17721, 43829, 0};
static int joe_kuo_d6_initial_number05006[] = {1, 3, 7, 11, 9, 59, 115, 127, 85, 505, 541, 3243, 5853, 12673, 25275, 39577, 0};
static int joe_kuo_d6_initial_number05007[] = {1, 3, 7, 1, 17, 25, 83, 127, 225, 295, 1823, 2051, 847, 4249, 13763, 5723, 0};
static int joe_kuo_d6_initial_number05008[] = {1, 1, 1, 5, 3, 63, 39, 131, 191, 983, 119, 3287, 3335, 7969, 31347, 39439, 0};
static int joe_kuo_d6_initial_number05009[] = {1, 3, 7, 9, 19, 31, 19, 91, 35, 677, 1229, 1371, 6497, 3315, 15239, 54235, 0};
static int joe_kuo_d6_initial_number05010[] = {1, 1, 1, 15, 3, 49, 113, 199, 135, 35, 709, 385, 7923, 3711, 18351, 12711, 0};
static int joe_kuo_d6_initial_number05011[] = {1, 1, 3, 15, 31, 13, 41, 1, 183, 95, 1625, 1675, 7881, 6607, 4165, 27151, 0};
static int joe_kuo_d6_initial_number05012[] = {1, 3, 3, 15, 21, 57, 81, 49, 5, 297, 131, 883, 1113, 2497, 32129, 39139, 0};
static int joe_kuo_d6_initial_number05013[] = {1, 3, 5, 7, 29, 47, 101, 173, 299, 879, 143, 3341, 3929, 6797, 8753, 47963, 0};
static int joe_kuo_d6_initial_number05014[] = {1, 3, 3, 13, 11, 39, 27, 187, 27, 763, 1515, 1903, 5897, 10061, 14595, 12713, 0};
static int joe_kuo_d6_initial_number05015[] = {1, 3, 5, 11, 27, 35, 37, 213, 45, 867, 1591, 3083, 8123, 5045, 31703, 61487, 0};
static int joe_kuo_d6_initial_number05016[] = {1, 1, 3, 5, 3, 31, 23, 89, 369, 371, 1165, 3673, 6821, 333, 10881, 4153, 0};
static int joe_kuo_d6_initial_number05017[] = {1, 1, 7, 13, 1, 33, 49, 195, 223, 197, 1799, 2427, 6171, 493, 13503, 23619, 0};
static int joe_kuo_d6_initial_number05018[] = {1, 1, 3, 9, 5, 59, 105, 215, 449, 527, 1661, 2643, 309, 11239, 11633, 63459, 0};
static int joe_kuo_d6_initial_number05019[] = {1, 1, 3, 11, 13, 11, 15, 99, 409, 807, 1911, 883, 1323, 9037, 6401, 545, 0};
static int joe_kuo_d6_initial_number05020[] = {1, 1, 5, 7, 7, 7, 1, 167, 353, 923, 1403, 3109, 4981, 3877, 25451, 4667, 0};
static int joe_kuo_d6_initial_number05021[] = {1, 1, 5, 11, 11, 25, 121, 153, 111, 785, 1301, 1497, 6267, 14919, 24125, 52029, 0};
static int joe_kuo_d6_initial_number05022[] = {1, 3, 3, 5, 29, 55, 63, 177, 305, 41, 111, 1065, 1127, 113, 2815, 12979, 0};
static int joe_kuo_d6_initial_number05023[] = {1, 3, 5, 7, 23, 39, 17, 179, 267, 917, 511, 3923, 915, 14173, 10689, 50749, 0};
static int joe_kuo_d6_initial_number05024[] = {1, 1, 5, 3, 9, 45, 15, 157, 495, 625, 407, 2769, 3267, 7593, 17957, 54597, 0};
static int joe_kuo_d6_initial_number05025[] = {1, 3, 3, 11, 21, 13, 5, 207, 107, 965, 1803, 1541, 3487, 3483, 109, 26923, 0};
static int joe_kuo_d6_initial_number05026[] = {1, 1, 5, 11, 25, 49, 99, 135, 109, 371, 1307, 1815, 1095, 2329, 27101, 52269, 0};
static int joe_kuo_d6_initial_number05027[] = {1, 3, 5, 5, 13, 9, 109, 79, 151, 47, 311, 3873, 3645, 3773, 1083, 31599, 0};
static int joe_kuo_d6_initial_number05028[] = {1, 3, 5, 15, 1, 9, 87, 21, 145, 583, 159, 2435, 587, 10123, 24803, 19993, 0};
static int joe_kuo_d6_initial_number05029[] = {1, 3, 1, 1, 23, 11, 5, 45, 373, 1011, 1353, 277, 7051, 3845, 12391, 25313, 0};
static int joe_kuo_d6_initial_number05030[] = {1, 1, 1, 9, 13, 13, 109, 251, 97, 483, 1723, 2555, 813, 9345, 11351, 44705, 0};
static int joe_kuo_d6_initial_number05031[] = {1, 3, 5, 7, 21, 49, 63, 13, 119, 813, 1559, 983, 499, 15159, 24163, 59903, 0};
static int joe_kuo_d6_initial_number05032[] = {1, 1, 3, 5, 27, 33, 27, 165, 207, 693, 1401, 1357, 7637, 337, 10163, 43273, 0};
static int joe_kuo_d6_initial_number05033[] = {1, 1, 5, 13, 29, 7, 71, 187, 1, 655, 1829, 2645, 6969, 5435, 28415, 33199, 0};
static int joe_kuo_d6_initial_number05034[] = {1, 1, 1, 13, 17, 21, 13, 141, 41, 267, 1165, 1893, 3455, 10737, 16693, 33065, 0};
static int joe_kuo_d6_initial_number05035[] = {1, 1, 5, 1, 7, 27, 7, 67, 107, 11, 763, 2529, 3023, 15745, 17023, 51911, 0};
static int joe_kuo_d6_initial_number05036[] = {1, 3, 3, 3, 7, 57, 123, 249, 309, 511, 1655, 1379, 725, 7325, 20261, 65039, 0};
static int joe_kuo_d6_initial_number05037[] = {1, 1, 5, 11, 3, 27, 23, 27, 285, 771, 2017, 1727, 4847, 2665, 30655, 47625, 0};
static int joe_kuo_d6_initial_number05038[] = {1, 3, 7, 7, 17, 3, 93, 133, 427, 1021, 1135, 341, 6711, 11713, 24157, 1561, 0};
static int joe_kuo_d6_initial_number05039[] = {1, 1, 3, 7, 15, 55, 11, 247, 65, 115, 1967, 535, 841, 15131, 28381, 31337, 0};
static int joe_kuo_d6_initial_number05040[] = {1, 3, 1, 7, 9, 45, 73, 151, 127, 125, 767, 2003, 6893, 3875, 451, 30275, 0};
static int joe_kuo_d6_initial_number05041[] = {1, 1, 7, 3, 5, 55, 127, 123, 163, 763, 1165, 1637, 6267, 7215, 23403, 20961, 0};
static int joe_kuo_d6_initial_number05042[] = {1, 1, 1, 13, 1, 21, 65, 141, 369, 413, 1675, 27, 7357, 6929, 18083, 829, 0};
static int joe_kuo_d6_initial_number05043[] = {1, 3, 5, 13, 1, 17, 97, 107, 249, 931, 47, 3537, 2245, 9827, 13673, 23217, 0};
static int joe_kuo_d6_initial_number05044[] = {1, 1, 1, 11, 13, 19, 43, 31, 51, 727, 1001, 927, 771, 11853, 5761, 60537, 0};
static int joe_kuo_d6_initial_number05045[] = {1, 3, 1, 7, 23, 27, 115, 5, 201, 431, 1021, 585, 6069, 12511, 6129, 2105, 0};
static int joe_kuo_d6_initial_number05046[] = {1, 1, 3, 11, 3, 25, 75, 129, 389, 131, 223, 2263, 5377, 5561, 15633, 39527, 0};
static int joe_kuo_d6_initial_number05047[] = {1, 3, 3, 1, 27, 43, 101, 55, 319, 549, 1971, 2255, 353, 93, 25661, 59077, 0};
static int joe_kuo_d6_initial_number05048[] = {1, 1, 5, 11, 29, 57, 27, 135, 341, 913, 1637, 1781, 457, 11293, 1013, 53863, 0};
static int joe_kuo_d6_initial_number05049[] = {1, 1, 1, 11, 3, 51, 79, 251, 443, 651, 393, 3635, 7397, 5443, 4225, 991, 0};
static int joe_kuo_d6_initial_number05050[] = {1, 3, 7, 13, 31, 9, 3, 109, 427, 735, 891, 2789, 2169, 6459, 355, 43177, 0};
static int joe_kuo_d6_initial_number05051[] = {1, 3, 3, 3, 13, 7, 93, 195, 293, 37, 75, 2467, 933, 8017, 9925, 61397, 0};
static int joe_kuo_d6_initial_number05052[] = {1, 1, 5, 7, 25, 15, 69, 199, 161, 769, 387, 1491, 4553, 4173, 25631, 37089, 0};
static int joe_kuo_d6_initial_number05053[] = {1, 3, 1, 3, 7, 59, 53, 93, 103, 413, 531, 887, 6149, 2901, 22611, 27135, 0};
static int joe_kuo_d6_initial_number05054[] = {1, 1, 1, 13, 31, 39, 71, 215, 385, 821, 1603, 3043, 4967, 10953, 11543, 64433, 0};
static int joe_kuo_d6_initial_number05055[] = {1, 3, 1, 7, 7, 63, 5, 143, 1, 339, 1165, 3809, 4257, 12879, 21581, 21307, 0};
static int joe_kuo_d6_initial_number05056[] = {1, 1, 1, 15, 1, 35, 67, 227, 277, 879, 513, 3423, 6153, 11573, 12809, 34335, 0};
static int joe_kuo_d6_initial_number05057[] = {1, 3, 7, 9, 9, 39, 47, 17, 101, 179, 631, 1307, 481, 871, 16807, 39811, 0};
static int joe_kuo_d6_initial_number05058[] = {1, 3, 1, 1, 13, 25, 53, 179, 285, 267, 407, 3781, 3267, 3545, 525, 15733, 0};
static int joe_kuo_d6_initial_number05059[] = {1, 1, 1, 13, 11, 35, 45, 181, 319, 767, 283, 3021, 5405, 403, 3587, 7291, 0};
static int joe_kuo_d6_initial_number05060[] = {1, 1, 7, 3, 5, 9, 67, 129, 101, 117, 267, 1925, 1209, 13095, 7123, 62941, 0};
static int joe_kuo_d6_initial_number05061[] = {1, 1, 7, 3, 5, 63, 109, 199, 95, 421, 193, 3519, 6551, 955, 1679, 16627, 0};
static int joe_kuo_d6_initial_number05062[] = {1, 1, 5, 13, 1, 47, 71, 157, 343, 653, 981, 1335, 3737, 7185, 28861, 22883, 0};
static int joe_kuo_d6_initial_number05063[] = {1, 1, 3, 15, 7, 63, 7, 81, 481, 5, 1159, 1361, 4167, 2575, 7437, 16917, 0};
static int joe_kuo_d6_initial_number05064[] = {1, 3, 7, 1, 27, 17, 61, 193, 317, 841, 1149, 955, 5161, 4275, 1955, 15665, 0};
static int joe_kuo_d6_initial_number05065[] = {1, 1, 1, 7, 19, 63, 77, 57, 367, 237, 579, 3701, 5763, 4951, 24151, 45215, 0};
static int joe_kuo_d6_initial_number05066[] = {1, 1, 5, 11, 29, 7, 119, 155, 431, 999, 757, 2433, 5811, 3709, 29573, 23639, 0};
static int joe_kuo_d6_initial_number05067[] = {1, 3, 3, 3, 15, 35, 125, 13, 275, 507, 1719, 1537, 2349, 12909, 8107, 9845, 0};
static int joe_kuo_d6_initial_number05068[] = {1, 3, 1, 13, 27, 27, 11, 69, 15, 1017, 207, 625, 809, 2921, 8939, 30293, 0};
static int joe_kuo_d6_initial_number05069[] = {1, 1, 7, 11, 31, 51, 113, 193, 69, 845, 73, 919, 3523, 3987, 23665, 36527, 0};
static int joe_kuo_d6_initial_number05070[] = {1, 3, 7, 11, 21, 31, 103, 29, 5, 81, 1081, 3847, 4697, 8857, 30769, 40053, 0};
static int joe_kuo_d6_initial_number05071[] = {1, 1, 1, 1, 5, 11, 5, 169, 13, 899, 769, 3823, 5405, 5991, 3821, 27767, 0};
static int joe_kuo_d6_initial_number05072[] = {1, 1, 3, 15, 1, 35, 9, 83, 23, 701, 1807, 1681, 4009, 127, 31751, 38059, 0};
static int joe_kuo_d6_initial_number05073[] = {1, 3, 3, 7, 9, 61, 73, 111, 193, 607, 2001, 413, 3751, 16337, 16597, 23959, 0};
static int joe_kuo_d6_initial_number05074[] = {1, 1, 7, 7, 21, 29, 53, 253, 187, 507, 1191, 3521, 463, 2167, 23785, 19867, 0};
static int joe_kuo_d6_initial_number05075[] = {1, 3, 5, 3, 19, 43, 101, 93, 257, 61, 1589, 3883, 1975, 7283, 5253, 23257, 0};
static int joe_kuo_d6_initial_number05076[] = {1, 3, 1, 9, 1, 63, 25, 101, 377, 571, 1701, 3385, 243, 12051, 32619, 10459, 0};
static int joe_kuo_d6_initial_number05077[] = {1, 1, 1, 5, 17, 11, 37, 197, 205, 879, 625, 959, 7389, 7857, 20615, 20405, 0};
static int joe_kuo_d6_initial_number05078[] = {1, 3, 5, 5, 27, 41, 9, 109, 197, 623, 1045, 63, 7977, 11355, 28613, 5131, 0};
static int joe_kuo_d6_initial_number05079[] = {1, 1, 5, 11, 5, 29, 27, 85, 131, 247, 433, 3981, 2677, 15415, 869, 6045, 0};
static int joe_kuo_d6_initial_number05080[] = {1, 3, 1, 13, 9, 49, 25, 79, 135, 719, 93, 631, 2149, 5929, 29833, 38673, 0};
static int joe_kuo_d6_initial_number05081[] = {1, 3, 7, 11, 15, 13, 37, 233, 227, 205, 1579, 65, 1429, 13499, 26355, 63821, 0};
static int joe_kuo_d6_initial_number05082[] = {1, 1, 5, 11, 21, 19, 7, 183, 409, 275, 899, 3665, 6207, 849, 24339, 1617, 0};
static int joe_kuo_d6_initial_number05083[] = {1, 3, 1, 3, 21, 61, 23, 125, 463, 489, 1265, 2975, 3907, 11881, 7533, 43331, 0};
static int joe_kuo_d6_initial_number05084[] = {1, 3, 1, 15, 15, 51, 83, 31, 175, 47, 1791, 3651, 6735, 5013, 723, 24141, 0};
static int joe_kuo_d6_initial_number05085[] = {1, 3, 1, 9, 17, 41, 57, 43, 469, 911, 1251, 2105, 3133, 3437, 10097, 26687, 0};
static int joe_kuo_d6_initial_number05086[] = {1, 1, 3, 3, 9, 9, 125, 201, 141, 943, 1509, 1239, 6575, 8707, 363, 23309, 0};
static int joe_kuo_d6_initial_number05087[] = {1, 1, 5, 3, 19, 37, 43, 141, 413, 149, 1449, 1003, 4473, 12395, 4101, 61201, 0};
static int joe_kuo_d6_initial_number05088[] = {1, 1, 5, 11, 17, 37, 41, 33, 57, 627, 325, 1895, 1773, 1339, 24859, 587, 0};
static int joe_kuo_d6_initial_number05089[] = {1, 1, 1, 3, 5, 49, 127, 109, 361, 853, 1437, 3451, 4031, 5379, 27463, 47425, 0};
static int joe_kuo_d6_initial_number05090[] = {1, 3, 5, 7, 9, 57, 71, 219, 347, 791, 797, 73, 6241, 12717, 24429, 40977, 0};
static int joe_kuo_d6_initial_number05091[] = {1, 1, 5, 9, 27, 43, 43, 227, 433, 413, 1109, 2589, 4535, 8947, 8121, 43479, 0};
static int joe_kuo_d6_initial_number05092[] = {1, 3, 7, 1, 9, 21, 81, 23, 157, 313, 197, 2845, 8059, 15957, 28657, 28093, 0};
static int joe_kuo_d6_initial_number05093[] = {1, 3, 1, 11, 15, 17, 115, 27, 421, 743, 1885, 2089, 5011, 7137, 7395, 36853, 0};
static int joe_kuo_d6_initial_number05094[] = {1, 1, 5, 15, 5, 53, 69, 255, 63, 29, 1011, 3201, 1467, 15441, 26255, 62895, 0};
static int joe_kuo_d6_initial_number05095[] = {1, 3, 1, 11, 3, 47, 35, 195, 149, 849, 1317, 439, 3539, 845, 15295, 42183, 0};
static int joe_kuo_d6_initial_number05096[] = {1, 1, 5, 15, 15, 37, 67, 105, 495, 985, 1777, 3137, 8039, 11795, 29771, 35045, 0};
static int joe_kuo_d6_initial_number05097[] = {1, 1, 3, 1, 25, 17, 67, 227, 229, 419, 1319, 3325, 1293, 8585, 28425, 34013, 0};
static int joe_kuo_d6_initial_number05098[] = {1, 1, 5, 1, 27, 51, 71, 197, 375, 407, 259, 4005, 3309, 5475, 13421, 60065, 0};
static int joe_kuo_d6_initial_number05099[] = {1, 3, 1, 5, 11, 17, 89, 45, 311, 425, 1629, 773, 7267, 8699, 27547, 37081, 0};
static int joe_kuo_d6_initial_number05100[] = {1, 3, 1, 7, 9, 25, 101, 105, 489, 217, 103, 1959, 4049, 5793, 31201, 11947, 0};
static int joe_kuo_d6_initial_number05101[] = {1, 1, 5, 5, 19, 3, 63, 55, 431, 49, 273, 3253, 5357, 13801, 9735, 21883, 0};
static int joe_kuo_d6_initial_number05102[] = {1, 1, 1, 11, 13, 3, 75, 201, 477, 201, 1875, 657, 6217, 8651, 2207, 16421, 0};
static int joe_kuo_d6_initial_number05103[] = {1, 1, 5, 13, 5, 31, 75, 113, 25, 171, 1147, 3089, 7095, 4405, 26155, 42323, 0};
static int joe_kuo_d6_initial_number05104[] = {1, 3, 5, 5, 5, 49, 99, 171, 445, 1023, 1793, 3159, 5809, 12509, 31723, 60411, 0};
static int joe_kuo_d6_initial_number05105[] = {1, 3, 7, 3, 23, 51, 111, 27, 103, 159, 433, 293, 1741, 3599, 4067, 40667, 0};
static int joe_kuo_d6_initial_number05106[] = {1, 3, 3, 13, 11, 9, 11, 21, 453, 35, 1649, 1261, 3539, 14081, 5581, 57105, 0};
static int joe_kuo_d6_initial_number05107[] = {1, 3, 3, 13, 7, 9, 113, 87, 391, 647, 223, 1345, 4481, 9855, 20129, 10807, 0};
static int joe_kuo_d6_initial_number05108[] = {1, 3, 7, 15, 3, 61, 15, 117, 97, 495, 985, 819, 181, 1363, 13111, 35857, 0};
static int joe_kuo_d6_initial_number05109[] = {1, 3, 1, 9, 3, 27, 125, 151, 217, 961, 707, 2647, 5307, 621, 12581, 13941, 0};
static int joe_kuo_d6_initial_number05110[] = {1, 3, 1, 11, 17, 37, 35, 211, 179, 29, 627, 3623, 6429, 16237, 24699, 14385, 0};
static int joe_kuo_d6_initial_number05111[] = {1, 3, 3, 9, 3, 57, 35, 3, 85, 1017, 1739, 2241, 7297, 15637, 27085, 41237, 0};
static int joe_kuo_d6_initial_number05112[] = {1, 1, 3, 7, 7, 13, 5, 85, 505, 51, 409, 867, 677, 12451, 13633, 47883, 0};
static int joe_kuo_d6_initial_number05113[] = {1, 3, 5, 13, 5, 51, 37, 79, 237, 133, 1331, 3263, 349, 4971, 16067, 62485, 0};
static int joe_kuo_d6_initial_number05114[] = {1, 1, 7, 11, 29, 41, 101, 219, 391, 1023, 1681, 3163, 4071, 14665, 11041, 14523, 0};
static int joe_kuo_d6_initial_number05115[] = {1, 1, 3, 3, 13, 55, 37, 119, 471, 665, 1315, 3071, 5993, 12005, 13549, 63425, 0};
static int joe_kuo_d6_initial_number05116[] = {1, 3, 5, 7, 5, 25, 59, 71, 77, 841, 91, 1841, 6997, 1139, 11843, 52209, 0};
static int joe_kuo_d6_initial_number05117[] = {1, 3, 7, 15, 17, 25, 85, 173, 373, 459, 1713, 1055, 5337, 9921, 15213, 44235, 0};
static int joe_kuo_d6_initial_number05118[] = {1, 1, 1, 15, 7, 11, 89, 237, 131, 565, 745, 457, 4447, 5581, 11053, 43819, 0};
static int joe_kuo_d6_initial_number05119[] = {1, 3, 5, 1, 29, 21, 11, 7, 125, 851, 2023, 3321, 1885, 67, 8809, 43291, 0};
static int joe_kuo_d6_initial_number05120[] = {1, 3, 5, 11, 11, 43, 41, 97, 353, 813, 85, 2453, 769, 11709, 4697, 2849, 0};
static int joe_kuo_d6_initial_number05121[] = {1, 1, 5, 5, 21, 29, 87, 179, 157, 981, 129, 2139, 6841, 5479, 27111, 20749, 0};
static int joe_kuo_d6_initial_number05122[] = {1, 1, 3, 9, 31, 59, 61, 15, 423, 33, 467, 1817, 6535, 7341, 31061, 20937, 0};
static int joe_kuo_d6_initial_number05123[] = {1, 1, 7, 3, 1, 21, 127, 135, 321, 699, 727, 3079, 753, 3971, 5611, 28345, 0};
static int joe_kuo_d6_initial_number05124[] = {1, 3, 7, 11, 27, 3, 39, 63, 389, 433, 43, 1443, 6241, 10769, 20485, 58823, 0};
static int joe_kuo_d6_initial_number05125[] = {1, 1, 1, 11, 3, 13, 5, 57, 503, 707, 677, 3355, 6691, 8841, 20041, 11867, 0};
static int joe_kuo_d6_initial_number05126[] = {1, 1, 3, 11, 31, 39, 107, 221, 81, 125, 1439, 2429, 2109, 3931, 31007, 10915, 0};
static int joe_kuo_d6_initial_number05127[] = {1, 3, 3, 9, 17, 53, 13, 121, 127, 15, 1825, 1909, 5951, 13503, 31565, 56163, 0};
static int joe_kuo_d6_initial_number05128[] = {1, 1, 1, 1, 19, 55, 3, 153, 385, 277, 1297, 3655, 6027, 3057, 11341, 46989, 0};
static int joe_kuo_d6_initial_number05129[] = {1, 1, 5, 9, 3, 55, 37, 223, 353, 141, 1917, 3827, 2255, 7617, 10971, 10641, 0};
static int joe_kuo_d6_initial_number05130[] = {1, 3, 7, 9, 29, 41, 71, 19, 137, 243, 2047, 395, 6981, 15887, 9479, 60199, 0};
static int joe_kuo_d6_initial_number05131[] = {1, 1, 1, 9, 17, 43, 51, 191, 405, 727, 485, 987, 1855, 15801, 22529, 10165, 0};
static int joe_kuo_d6_initial_number05132[] = {1, 3, 1, 7, 27, 31, 69, 255, 153, 793, 1353, 1981, 83, 11387, 6747, 23379, 0};
static int joe_kuo_d6_initial_number05133[] = {1, 1, 5, 5, 31, 49, 83, 157, 63, 647, 1367, 3995, 5899, 8429, 18317, 3471, 0};
static int joe_kuo_d6_initial_number05134[] = {1, 3, 5, 13, 19, 15, 99, 13, 143, 887, 529, 2855, 573, 9799, 13585, 59263, 0};
static int joe_kuo_d6_initial_number05135[] = {1, 3, 5, 3, 13, 47, 103, 87, 11, 381, 397, 899, 71, 15539, 13005, 38297, 0};
static int joe_kuo_d6_initial_number05136[] = {1, 1, 1, 3, 1, 53, 45, 141, 1, 941, 261, 3291, 5177, 9843, 6309, 62799, 0};
static int joe_kuo_d6_initial_number05137[] = {1, 1, 5, 9, 29, 31, 107, 57, 135, 229, 1147, 247, 265, 12757, 21365, 7219, 0};
static int joe_kuo_d6_initial_number05138[] = {1, 1, 1, 3, 1, 49, 55, 247, 495, 449, 141, 1349, 7393, 2589, 23587, 1097, 0};
static int joe_kuo_d6_initial_number05139[] = {1, 3, 5, 1, 9, 11, 73, 153, 89, 575, 1805, 137, 435, 3687, 32169, 24275, 0};
static int joe_kuo_d6_initial_number05140[] = {1, 1, 7, 15, 25, 61, 51, 21, 109, 139, 611, 3907, 6721, 5081, 6665, 51463, 0};
static int joe_kuo_d6_initial_number05141[] = {1, 1, 1, 9, 13, 23, 59, 203, 33, 1013, 1533, 291, 6171, 15463, 8581, 9497, 0};
static int joe_kuo_d6_initial_number05142[] = {1, 3, 3, 9, 7, 25, 51, 189, 49, 265, 1163, 1141, 2467, 7839, 7083, 65527, 0};
static int joe_kuo_d6_initial_number05143[] = {1, 1, 3, 9, 19, 33, 77, 9, 181, 919, 623, 1521, 7853, 2199, 24115, 60607, 0};
static int joe_kuo_d6_initial_number05144[] = {1, 1, 3, 11, 9, 11, 27, 57, 355, 313, 151, 3391, 4869, 12541, 30031, 29455, 0};
static int joe_kuo_d6_initial_number05145[] = {1, 3, 5, 9, 17, 13, 91, 123, 235, 841, 1113, 1451, 501, 3863, 32483, 9445, 0};
static int joe_kuo_d6_initial_number05146[] = {1, 3, 7, 3, 13, 25, 87, 243, 449, 293, 1279, 3571, 2693, 13459, 5895, 38127, 0};
static int joe_kuo_d6_initial_number05147[] = {1, 1, 3, 15, 27, 61, 7, 57, 255, 971, 131, 2585, 2187, 7191, 17779, 34587, 0};
static int joe_kuo_d6_initial_number05148[] = {1, 3, 3, 7, 23, 29, 55, 41, 463, 873, 1781, 2851, 4731, 9819, 25587, 32199, 0};
static int joe_kuo_d6_initial_number05149[] = {1, 1, 1, 9, 29, 39, 25, 143, 171, 141, 223, 467, 4417, 9575, 23159, 33819, 0};
static int joe_kuo_d6_initial_number05150[] = {1, 1, 5, 13, 19, 61, 19, 75, 25, 361, 585, 1627, 2231, 1831, 24885, 37917, 0};
static int joe_kuo_d6_initial_number05151[] = {1, 3, 7, 7, 23, 19, 59, 55, 323, 55, 143, 131, 27, 15363, 26423, 43963, 0};
static int joe_kuo_d6_initial_number05152[] = {1, 1, 5, 5, 25, 9, 33, 17, 427, 481, 315, 3999, 4757, 4545, 7695, 56733, 0};
static int joe_kuo_d6_initial_number05153[] = {1, 3, 5, 13, 5, 59, 45, 117, 115, 263, 1441, 3307, 1085, 3875, 25869, 19725, 0};
static int joe_kuo_d6_initial_number05154[] = {1, 3, 3, 15, 13, 39, 31, 243, 293, 345, 343, 1911, 6123, 12577, 32081, 59993, 0};
static int joe_kuo_d6_initial_number05155[] = {1, 3, 5, 13, 17, 37, 105, 201, 205, 929, 435, 1467, 8063, 6963, 13709, 53275, 0};
static int joe_kuo_d6_initial_number05156[] = {1, 3, 7, 15, 31, 3, 65, 221, 191, 413, 427, 2579, 377, 2793, 26943, 61299, 0};
static int joe_kuo_d6_initial_number05157[] = {1, 3, 5, 3, 11, 61, 75, 107, 53, 689, 1845, 859, 333, 889, 27607, 48795, 0};
static int joe_kuo_d6_initial_number05158[] = {1, 1, 5, 7, 1, 11, 37, 181, 323, 187, 1511, 25, 5517, 11957, 7093, 429, 0};
static int joe_kuo_d6_initial_number05159[] = {1, 3, 3, 1, 25, 31, 125, 139, 433, 583, 683, 587, 5389, 1225, 26047, 18717, 0};
static int joe_kuo_d6_initial_number05160[] = {1, 3, 1, 15, 23, 33, 23, 147, 279, 513, 157, 4023, 2669, 7543, 2111, 9191, 0};
static int joe_kuo_d6_initial_number05161[] = {1, 3, 1, 1, 5, 39, 55, 127, 257, 649, 347, 3001, 2215, 15579, 29665, 10337, 0};
static int joe_kuo_d6_initial_number05162[] = {1, 1, 1, 15, 19, 55, 105, 183, 505, 1003, 1311, 2253, 1861, 3561, 19581, 46183, 0};
static int joe_kuo_d6_initial_number05163[] = {1, 3, 1, 9, 23, 5, 127, 215, 195, 817, 719, 1285, 919, 8627, 20427, 2723, 0};
static int joe_kuo_d6_initial_number05164[] = {1, 1, 1, 5, 15, 31, 43, 131, 377, 57, 1531, 915, 2871, 1805, 19765, 60529, 0};
static int joe_kuo_d6_initial_number05165[] = {1, 3, 3, 3, 15, 1, 93, 55, 477, 221, 643, 1319, 959, 475, 14015, 48823, 0};
static int joe_kuo_d6_initial_number05166[] = {1, 3, 3, 7, 19, 13, 13, 191, 421, 751, 1103, 2129, 1973, 14935, 26485, 41269, 0};
static int joe_kuo_d6_initial_number05167[] = {1, 1, 5, 13, 17, 43, 81, 83, 67, 643, 1799, 1157, 4365, 2815, 29871, 5351, 0};
static int joe_kuo_d6_initial_number05168[] = {1, 3, 1, 9, 21, 31, 87, 177, 25, 403, 1357, 4047, 959, 5133, 7307, 4333, 0};
static int joe_kuo_d6_initial_number05169[] = {1, 1, 7, 7, 29, 39, 27, 139, 159, 529, 1323, 3823, 4569, 12711, 30263, 10961, 0};
static int joe_kuo_d6_initial_number05170[] = {1, 3, 1, 13, 27, 15, 59, 1, 107, 723, 497, 43, 143, 16119, 29177, 5653, 0};
static int joe_kuo_d6_initial_number05171[] = {1, 1, 5, 9, 15, 41, 23, 109, 101, 639, 277, 1687, 1311, 1995, 5403, 6867, 0};
static int joe_kuo_d6_initial_number05172[] = {1, 1, 5, 3, 13, 1, 95, 177, 379, 545, 789, 3479, 4135, 445, 5869, 38923, 0};
static int joe_kuo_d6_initial_number05173[] = {1, 1, 3, 9, 21, 31, 23, 65, 209, 383, 271, 367, 6605, 1169, 27267, 9331, 0};
static int joe_kuo_d6_initial_number05174[] = {1, 1, 1, 1, 27, 39, 121, 29, 155, 465, 947, 2675, 6753, 11647, 29781, 30251, 0};
static int joe_kuo_d6_initial_number05175[] = {1, 3, 1, 5, 7, 45, 7, 21, 223, 363, 1021, 751, 2257, 14423, 19629, 64867, 0};
static int joe_kuo_d6_initial_number05176[] = {1, 3, 1, 9, 31, 53, 13, 99, 49, 389, 867, 327, 4145, 3265, 15423, 14985, 0};
static int joe_kuo_d6_initial_number05177[] = {1, 1, 1, 15, 11, 11, 27, 41, 333, 161, 1343, 2023, 3789, 13563, 16957, 26849, 0};
static int joe_kuo_d6_initial_number05178[] = {1, 3, 7, 1, 7, 51, 7, 163, 239, 393, 231, 3985, 309, 875, 837, 24791, 0};
static int joe_kuo_d6_initial_number05179[] = {1, 1, 1, 7, 1, 43, 105, 7, 351, 755, 1781, 1925, 4961, 2961, 13427, 44317, 0};
static int joe_kuo_d6_initial_number05180[] = {1, 3, 1, 9, 17, 39, 81, 75, 201, 931, 1547, 1857, 7251, 11687, 14437, 12603, 0};
static int joe_kuo_d6_initial_number05181[] = {1, 3, 3, 15, 15, 23, 95, 7, 193, 9, 1749, 809, 5083, 14645, 24893, 35979, 0};
static int joe_kuo_d6_initial_number05182[] = {1, 1, 7, 1, 9, 9, 127, 149, 433, 985, 1347, 3379, 2881, 681, 20777, 30703, 0};
static int joe_kuo_d6_initial_number05183[] = {1, 3, 1, 11, 1, 27, 121, 111, 251, 45, 1341, 1709, 3733, 11297, 29063, 57119, 0};
static int joe_kuo_d6_initial_number05184[] = {1, 3, 3, 1, 19, 3, 77, 127, 187, 831, 1125, 3119, 4665, 9857, 5301, 36755, 0};
static int joe_kuo_d6_initial_number05185[] = {1, 3, 3, 3, 29, 29, 61, 225, 257, 635, 665, 1279, 3019, 2401, 8253, 40251, 0};
static int joe_kuo_d6_initial_number05186[] = {1, 1, 7, 9, 29, 43, 47, 95, 221, 823, 257, 1485, 5183, 225, 27675, 60479, 0};
static int joe_kuo_d6_initial_number05187[] = {1, 1, 5, 3, 15, 49, 25, 69, 101, 393, 901, 305, 4917, 13479, 30209, 9199, 0};
static int joe_kuo_d6_initial_number05188[] = {1, 1, 3, 15, 1, 9, 47, 243, 403, 341, 143, 1365, 1817, 6017, 3853, 58625, 0};
static int joe_kuo_d6_initial_number05189[] = {1, 3, 3, 11, 9, 49, 93, 149, 39, 177, 1863, 1027, 659, 9253, 2131, 26943, 0};
static int joe_kuo_d6_initial_number05190[] = {1, 3, 1, 3, 25, 1, 43, 255, 217, 353, 957, 39, 4607, 15761, 24291, 33619, 0};
static int joe_kuo_d6_initial_number05191[] = {1, 1, 1, 7, 29, 51, 71, 237, 1, 703, 19, 213, 6429, 11783, 22049, 30597, 0};
static int joe_kuo_d6_initial_number05192[] = {1, 3, 1, 7, 31, 63, 105, 203, 473, 731, 257, 91, 5749, 4099, 30125, 40171, 0};
static int joe_kuo_d6_initial_number05193[] = {1, 3, 7, 9, 7, 29, 119, 181, 225, 743, 1031, 55, 3997, 16221, 11663, 14847, 0};
static int joe_kuo_d6_initial_number05194[] = {1, 3, 3, 11, 5, 21, 43, 17, 473, 981, 125, 2077, 6141, 4757, 7585, 29207, 0};
static int joe_kuo_d6_initial_number05195[] = {1, 1, 7, 1, 27, 61, 27, 45, 267, 483, 119, 767, 957, 3411, 2653, 53967, 0};
static int joe_kuo_d6_initial_number05196[] = {1, 1, 1, 3, 9, 41, 43, 17, 485, 253, 825, 3605, 5919, 9285, 1815, 6095, 0};
static int joe_kuo_d6_initial_number05197[] = {1, 1, 1, 11, 7, 5, 53, 107, 309, 609, 1389, 2035, 861, 15565, 9375, 42363, 0};
static int joe_kuo_d6_initial_number05198[] = {1, 3, 5, 3, 27, 57, 7, 177, 183, 227, 865, 183, 2903, 6325, 4393, 5257, 0};
static int joe_kuo_d6_initial_number05199[] = {1, 3, 1, 5, 21, 29, 79, 107, 365, 427, 813, 3563, 7713, 3865, 4289, 28555, 0};
static int joe_kuo_d6_initial_number05200[] = {1, 3, 5, 7, 11, 27, 1, 197, 425, 769, 1737, 3627, 1273, 4469, 11967, 823, 0};
static int joe_kuo_d6_initial_number05201[] = {1, 1, 1, 13, 3, 31, 127, 159, 471, 367, 2047, 949, 1591, 12429, 21497, 27153, 0};
static int joe_kuo_d6_initial_number05202[] = {1, 3, 1, 3, 3, 31, 31, 87, 243, 413, 1777, 1361, 4575, 1147, 17451, 33985, 0};
static int joe_kuo_d6_initial_number05203[] = {1, 3, 3, 5, 13, 47, 45, 3, 165, 329, 743, 397, 2479, 4999, 12921, 26689, 0};
static int joe_kuo_d6_initial_number05204[] = {1, 1, 5, 7, 17, 59, 25, 117, 217, 601, 235, 2691, 5569, 7853, 31063, 28281, 0};
static int joe_kuo_d6_initial_number05205[] = {1, 3, 1, 11, 11, 39, 71, 77, 481, 39, 363, 1921, 3263, 12849, 13325, 41803, 0};
static int joe_kuo_d6_initial_number05206[] = {1, 3, 7, 5, 19, 1, 59, 197, 239, 787, 1657, 1449, 4245, 1317, 19609, 53583, 0};
static int joe_kuo_d6_initial_number05207[] = {1, 1, 7, 1, 13, 33, 81, 53, 223, 323, 477, 2421, 4045, 1855, 5823, 9661, 0};
static int joe_kuo_d6_initial_number05208[] = {1, 3, 1, 7, 1, 3, 121, 19, 329, 569, 481, 3443, 499, 12407, 19625, 4627, 0};
static int joe_kuo_d6_initial_number05209[] = {1, 1, 1, 7, 3, 33, 91, 241, 69, 581, 1635, 1025, 4677, 14651, 5229, 19555, 0};
static int joe_kuo_d6_initial_number05210[] = {1, 3, 1, 15, 9, 11, 99, 47, 489, 755, 601, 1221, 4251, 4377, 20567, 33839, 0};
static int joe_kuo_d6_initial_number05211[] = {1, 3, 3, 5, 21, 21, 127, 151, 499, 971, 1627, 609, 2365, 3183, 7413, 697, 0};
static int joe_kuo_d6_initial_number05212[] = {1, 3, 7, 13, 5, 35, 61, 121, 51, 297, 29, 1825, 495, 1299, 12741, 3253, 0};
static int joe_kuo_d6_initial_number05213[] = {1, 1, 1, 1, 13, 15, 49, 205, 235, 9, 849, 1101, 4533, 10221, 32419, 50151, 0};
static int joe_kuo_d6_initial_number05214[] = {1, 1, 3, 13, 29, 31, 57, 77, 217, 195, 1951, 189, 981, 6169, 22677, 64415, 0};
static int joe_kuo_d6_initial_number05215[] = {1, 3, 1, 5, 15, 37, 25, 233, 43, 843, 1205, 153, 6339, 3767, 16725, 32699, 0};
static int joe_kuo_d6_initial_number05216[] = {1, 3, 3, 1, 19, 37, 11, 217, 461, 897, 1181, 2815, 295, 15153, 25351, 57211, 0};
static int joe_kuo_d6_initial_number05217[] = {1, 3, 5, 11, 15, 9, 5, 179, 353, 769, 1457, 2919, 1201, 14871, 29549, 52265, 0};
static int joe_kuo_d6_initial_number05218[] = {1, 1, 3, 3, 5, 51, 127, 221, 329, 543, 1537, 2701, 2709, 9311, 2715, 42669, 0};
static int joe_kuo_d6_initial_number05219[] = {1, 3, 5, 15, 5, 41, 79, 233, 445, 265, 2001, 935, 3133, 3977, 3601, 21389, 0};
static int joe_kuo_d6_initial_number05220[] = {1, 3, 5, 11, 3, 7, 115, 45, 311, 827, 1897, 3399, 4251, 5341, 22621, 25519, 0};
static int joe_kuo_d6_initial_number05221[] = {1, 3, 7, 1, 11, 57, 117, 103, 401, 505, 1683, 2161, 4363, 11189, 20263, 13065, 0};
static int joe_kuo_d6_initial_number05222[] = {1, 1, 1, 7, 23, 29, 31, 77, 63, 179, 195, 2747, 579, 11701, 5101, 11497, 0};
static int joe_kuo_d6_initial_number05223[] = {1, 3, 7, 3, 9, 33, 81, 165, 433, 545, 1893, 3709, 3813, 6615, 1485, 6395, 0};
static int joe_kuo_d6_initial_number05224[] = {1, 3, 1, 15, 9, 5, 27, 157, 389, 683, 1919, 509, 455, 3865, 2303, 6993, 0};
static int joe_kuo_d6_initial_number05225[] = {1, 3, 3, 9, 5, 5, 3, 5, 299, 59, 539, 1199, 2443, 10821, 3359, 44345, 0};
static int joe_kuo_d6_initial_number05226[] = {1, 3, 5, 9, 21, 37, 87, 35, 501, 943, 1313, 3929, 351, 9851, 22971, 35659, 0};
static int joe_kuo_d6_initial_number05227[] = {1, 3, 7, 11, 11, 33, 77, 175, 411, 315, 1797, 2731, 4611, 1809, 22027, 50595, 0};
static int joe_kuo_d6_initial_number05228[] = {1, 3, 7, 13, 15, 11, 13, 189, 209, 1015, 1869, 1593, 6887, 8571, 7217, 2641, 0};
static int joe_kuo_d6_initial_number05229[] = {1, 1, 3, 13, 29, 15, 119, 127, 329, 275, 865, 1693, 225, 15735, 11071, 37127, 0};
static int joe_kuo_d6_initial_number05230[] = {1, 3, 7, 13, 9, 31, 85, 25, 281, 401, 1923, 2391, 3875, 2079, 2055, 53275, 0};
static int joe_kuo_d6_initial_number05231[] = {1, 3, 1, 5, 23, 57, 79, 127, 209, 901, 315, 1165, 3393, 15095, 1981, 34993, 0};
static int joe_kuo_d6_initial_number05232[] = {1, 3, 7, 7, 25, 13, 15, 223, 157, 335, 1061, 395, 6895, 6283, 18375, 4887, 0};
static int joe_kuo_d6_initial_number05233[] = {1, 3, 7, 13, 9, 15, 99, 201, 105, 643, 117, 3027, 641, 13353, 4343, 11875, 0};
static int joe_kuo_d6_initial_number05234[] = {1, 1, 3, 11, 5, 51, 5, 77, 281, 207, 1201, 1187, 8107, 6625, 7517, 34377, 0};
static int joe_kuo_d6_initial_number05235[] = {1, 1, 1, 5, 29, 61, 3, 181, 297, 151, 565, 2713, 6611, 8665, 32425, 50399, 0};
static int joe_kuo_d6_initial_number05236[] = {1, 3, 1, 5, 1, 61, 41, 245, 95, 647, 49, 2195, 5927, 15531, 28547, 51075, 0};
static int joe_kuo_d6_initial_number05237[] = {1, 3, 3, 15, 15, 63, 123, 63, 77, 813, 423, 715, 91, 3793, 20901, 54927, 0};
static int joe_kuo_d6_initial_number05238[] = {1, 3, 7, 9, 15, 35, 31, 161, 127, 13, 1667, 1225, 5279, 15487, 18769, 24887, 0};
static int joe_kuo_d6_initial_number05239[] = {1, 1, 3, 5, 27, 25, 61, 21, 447, 175, 1419, 2691, 1993, 13059, 30809, 38325, 0};
static int joe_kuo_d6_initial_number05240[] = {1, 3, 1, 3, 15, 21, 15, 193, 233, 435, 1993, 4003, 4581, 13837, 16535, 43781, 0};
static int joe_kuo_d6_initial_number05241[] = {1, 1, 1, 5, 1, 11, 21, 253, 59, 59, 497, 77, 2165, 8197, 5933, 25743, 0};
static int joe_kuo_d6_initial_number05242[] = {1, 1, 3, 9, 25, 61, 29, 217, 95, 269, 799, 409, 801, 421, 19065, 53443, 0};
static int joe_kuo_d6_initial_number05243[] = {1, 1, 7, 1, 1, 41, 71, 59, 191, 867, 223, 1467, 6679, 16031, 4451, 15313, 0};
static int joe_kuo_d6_initial_number05244[] = {1, 1, 1, 11, 13, 27, 7, 241, 167, 969, 1267, 2953, 3769, 2415, 30065, 39483, 0};
static int joe_kuo_d6_initial_number05245[] = {1, 1, 1, 3, 25, 61, 103, 23, 53, 799, 989, 3859, 7299, 13613, 12007, 37535, 0};
static int joe_kuo_d6_initial_number05246[] = {1, 1, 7, 1, 29, 19, 121, 57, 355, 663, 643, 3723, 1775, 10363, 1389, 16039, 0};
static int joe_kuo_d6_initial_number05247[] = {1, 3, 7, 3, 21, 55, 51, 67, 363, 843, 1187, 1983, 7757, 5413, 26575, 53329, 0};
static int joe_kuo_d6_initial_number05248[] = {1, 3, 1, 3, 31, 55, 73, 55, 75, 533, 197, 1463, 2933, 6033, 24397, 41579, 0};
static int joe_kuo_d6_initial_number05249[] = {1, 3, 1, 11, 9, 15, 107, 141, 473, 825, 901, 937, 7433, 13119, 20047, 6695, 0};
static int joe_kuo_d6_initial_number05250[] = {1, 3, 5, 7, 19, 27, 3, 149, 507, 137, 1025, 1841, 33, 3113, 15101, 28187, 0};
static int joe_kuo_d6_initial_number05251[] = {1, 3, 5, 7, 31, 27, 53, 45, 177, 129, 1241, 1525, 991, 4141, 17681, 39435, 0};
static int joe_kuo_d6_initial_number05252[] = {1, 1, 1, 15, 31, 57, 29, 137, 395, 563, 101, 3367, 1277, 5431, 1169, 44321, 0};
static int joe_kuo_d6_initial_number05253[] = {1, 3, 5, 7, 21, 15, 123, 181, 113, 313, 1763, 1429, 2985, 715, 26129, 549, 0};
static int joe_kuo_d6_initial_number05254[] = {1, 3, 3, 1, 15, 27, 27, 139, 507, 79, 1999, 2505, 485, 7011, 13369, 7159, 0};
static int joe_kuo_d6_initial_number05255[] = {1, 3, 3, 11, 27, 53, 109, 179, 399, 657, 697, 421, 5467, 4273, 7837, 11631, 0};
static int joe_kuo_d6_initial_number05256[] = {1, 1, 1, 15, 1, 57, 91, 199, 443, 569, 1945, 2531, 6349, 4851, 3931, 20537, 0};
static int joe_kuo_d6_initial_number05257[] = {1, 1, 3, 13, 3, 3, 107, 237, 261, 377, 135, 2809, 7239, 1613, 24035, 26053, 0};
static int joe_kuo_d6_initial_number05258[] = {1, 3, 3, 5, 3, 59, 65, 197, 411, 363, 1729, 967, 3963, 4535, 111, 7273, 0};
static int joe_kuo_d6_initial_number05259[] = {1, 1, 7, 3, 13, 39, 105, 235, 203, 1015, 1031, 3127, 1209, 10817, 22177, 44117, 0};
static int joe_kuo_d6_initial_number05260[] = {1, 3, 3, 13, 19, 21, 123, 31, 59, 185, 1007, 1115, 1965, 13087, 18489, 34063, 0};
static int joe_kuo_d6_initial_number05261[] = {1, 1, 7, 5, 27, 7, 33, 159, 245, 57, 2003, 3229, 2095, 4939, 31355, 23121, 0};
static int joe_kuo_d6_initial_number05262[] = {1, 3, 3, 9, 9, 41, 49, 203, 397, 915, 821, 3685, 2269, 11159, 25441, 46377, 0};
static int joe_kuo_d6_initial_number05263[] = {1, 3, 7, 5, 29, 33, 29, 227, 361, 961, 1905, 1149, 2799, 8115, 28235, 25685, 0};
static int joe_kuo_d6_initial_number05264[] = {1, 3, 1, 1, 19, 13, 73, 103, 11, 183, 853, 2425, 3809, 2391, 18615, 32735, 0};
static int joe_kuo_d6_initial_number05265[] = {1, 1, 3, 3, 21, 57, 47, 57, 157, 43, 1085, 3319, 461, 11499, 6809, 10435, 0};
static int joe_kuo_d6_initial_number05266[] = {1, 1, 5, 5, 17, 21, 55, 17, 421, 865, 159, 1643, 4523, 1485, 11937, 8287, 0};
static int joe_kuo_d6_initial_number05267[] = {1, 1, 3, 11, 7, 43, 39, 37, 187, 797, 1273, 1227, 2683, 1249, 3375, 44499, 0};
static int joe_kuo_d6_initial_number05268[] = {1, 1, 5, 11, 17, 35, 27, 73, 97, 59, 921, 2171, 7577, 2847, 93, 35911, 0};
static int joe_kuo_d6_initial_number05269[] = {1, 1, 5, 1, 5, 17, 117, 189, 357, 581, 1945, 2141, 1679, 12019, 11249, 6809, 0};
static int joe_kuo_d6_initial_number05270[] = {1, 1, 5, 7, 15, 53, 9, 191, 153, 257, 533, 493, 2389, 4657, 20757, 57275, 0};
static int joe_kuo_d6_initial_number05271[] = {1, 1, 1, 11, 13, 35, 85, 37, 501, 525, 543, 4057, 2001, 6183, 949, 18465, 0};
static int joe_kuo_d6_initial_number05272[] = {1, 1, 1, 3, 15, 7, 39, 169, 359, 671, 731, 1523, 211, 1233, 29515, 57787, 0};
static int joe_kuo_d6_initial_number05273[] = {1, 1, 3, 7, 27, 7, 41, 15, 71, 733, 1919, 401, 1915, 4815, 10571, 839, 0};
static int joe_kuo_d6_initial_number05274[] = {1, 1, 7, 13, 27, 61, 5, 25, 293, 779, 477, 1537, 6695, 7435, 1281, 64369, 0};
static int joe_kuo_d6_initial_number05275[] = {1, 1, 7, 7, 19, 11, 101, 45, 449, 883, 1181, 3521, 6019, 16305, 23429, 43789, 0};
static int joe_kuo_d6_initial_number05276[] = {1, 1, 7, 5, 1, 49, 121, 89, 275, 367, 461, 1717, 2733, 4403, 9123, 35217, 0};
static int joe_kuo_d6_initial_number05277[] = {1, 1, 7, 1, 1, 37, 41, 221, 281, 531, 357, 3783, 3561, 8135, 18405, 56045, 0};
static int joe_kuo_d6_initial_number05278[] = {1, 3, 5, 7, 29, 9, 127, 37, 13, 519, 1059, 3973, 7253, 15159, 19337, 57103, 0};
static int joe_kuo_d6_initial_number05279[] = {1, 3, 3, 15, 3, 41, 91, 7, 63, 747, 1649, 3367, 5945, 3603, 28465, 511, 0};
static int joe_kuo_d6_initial_number05280[] = {1, 3, 3, 15, 27, 19, 67, 179, 505, 131, 149, 1753, 3603, 1135, 15811, 5305, 0};
static int joe_kuo_d6_initial_number05281[] = {1, 1, 1, 5, 5, 63, 71, 235, 151, 651, 1383, 249, 3223, 14559, 26809, 4551, 0};
static int joe_kuo_d6_initial_number05282[] = {1, 3, 3, 9, 29, 41, 67, 111, 175, 515, 1123, 1707, 6653, 8233, 22775, 61029, 0};
static int joe_kuo_d6_initial_number05283[] = {1, 3, 3, 9, 23, 1, 75, 145, 159, 785, 537, 1995, 2241, 8641, 30709, 41373, 0};
static int joe_kuo_d6_initial_number05284[] = {1, 1, 5, 9, 21, 1, 87, 233, 401, 643, 197, 3437, 8163, 6363, 6537, 17283, 0};
static int joe_kuo_d6_initial_number05285[] = {1, 3, 5, 3, 23, 19, 55, 243, 405, 369, 1221, 1959, 5455, 11729, 26117, 9097, 0};
static int joe_kuo_d6_initial_number05286[] = {1, 1, 3, 13, 3, 57, 71, 235, 125, 263, 873, 1079, 2627, 1343, 1979, 49519, 0};
static int joe_kuo_d6_initial_number05287[] = {1, 3, 1, 11, 21, 15, 27, 7, 425, 935, 305, 2593, 4437, 9517, 26207, 4229, 0};
static int joe_kuo_d6_initial_number05288[] = {1, 1, 3, 13, 11, 53, 1, 149, 97, 939, 147, 3365, 5023, 607, 2083, 8715, 0};
static int joe_kuo_d6_initial_number05289[] = {1, 1, 5, 3, 13, 13, 113, 51, 263, 837, 1145, 3621, 5697, 2867, 7975, 22839, 0};
static int joe_kuo_d6_initial_number05290[] = {1, 1, 3, 15, 31, 9, 91, 231, 399, 295, 1935, 4021, 7669, 3867, 28015, 9865, 0};
static int joe_kuo_d6_initial_number05291[] = {1, 1, 1, 1, 13, 59, 51, 35, 407, 733, 1629, 2429, 291, 11923, 32129, 28847, 0};
static int joe_kuo_d6_initial_number05292[] = {1, 3, 3, 11, 25, 21, 13, 117, 31, 547, 327, 2801, 2247, 4051, 27523, 4257, 0};
static int joe_kuo_d6_initial_number05293[] = {1, 1, 7, 7, 15, 33, 15, 17, 255, 363, 1013, 1463, 7537, 14093, 21883, 35389, 0};
static int joe_kuo_d6_initial_number05294[] = {1, 1, 5, 9, 11, 61, 7, 161, 121, 413, 515, 413, 4439, 15405, 30265, 23939, 0};
static int joe_kuo_d6_initial_number05295[] = {1, 3, 7, 7, 11, 15, 5, 181, 315, 231, 1567, 2985, 1653, 12251, 269, 37317, 0};
static int joe_kuo_d6_initial_number05296[] = {1, 3, 1, 11, 3, 15, 91, 45, 489, 571, 11, 1239, 7705, 4303, 12535, 21359, 0};
static int joe_kuo_d6_initial_number05297[] = {1, 1, 7, 15, 29, 43, 81, 63, 483, 851, 389, 1719, 6111, 15293, 2513, 44397, 0};
static int joe_kuo_d6_initial_number05298[] = {1, 1, 5, 15, 25, 33, 97, 131, 183, 269, 1903, 2733, 7197, 4507, 24471, 36871, 0};
static int joe_kuo_d6_initial_number05299[] = {1, 3, 3, 13, 17, 33, 73, 83, 247, 207, 79, 1139, 581, 12147, 3539, 45423, 0};
static int joe_kuo_d6_initial_number05300[] = {1, 1, 1, 15, 29, 49, 79, 151, 267, 393, 1995, 105, 2873, 3981, 19147, 53987, 0};
static int joe_kuo_d6_initial_number05301[] = {1, 1, 5, 1, 31, 25, 39, 203, 459, 181, 661, 717, 6235, 13413, 1197, 40665, 0};
static int joe_kuo_d6_initial_number05302[] = {1, 1, 5, 9, 19, 33, 65, 239, 463, 133, 461, 3601, 7755, 1771, 20683, 7417, 0};
static int joe_kuo_d6_initial_number05303[] = {1, 1, 1, 1, 25, 19, 25, 155, 431, 33, 341, 959, 5679, 1205, 2599, 37499, 0};
static int joe_kuo_d6_initial_number05304[] = {1, 1, 3, 5, 25, 5, 83, 87, 91, 991, 1833, 4063, 147, 14497, 25725, 4617, 0};
static int joe_kuo_d6_initial_number05305[] = {1, 3, 5, 7, 31, 7, 73, 51, 339, 313, 1593, 2089, 7387, 15759, 3249, 7953, 0};
static int joe_kuo_d6_initial_number05306[] = {1, 3, 7, 1, 27, 49, 35, 11, 21, 45, 1689, 1665, 4591, 3713, 12781, 4805, 0};
static int joe_kuo_d6_initial_number05307[] = {1, 1, 3, 9, 29, 51, 73, 51, 303, 179, 67, 3917, 7615, 6131, 26225, 55991, 0};
static int joe_kuo_d6_initial_number05308[] = {1, 3, 7, 11, 9, 63, 29, 47, 153, 883, 1859, 1913, 3563, 11451, 6333, 51367, 0};
static int joe_kuo_d6_initial_number05309[] = {1, 3, 1, 3, 5, 25, 69, 87, 389, 613, 989, 3557, 1339, 12503, 14505, 63209, 0};
static int joe_kuo_d6_initial_number05310[] = {1, 1, 3, 1, 5, 13, 37, 163, 499, 163, 2025, 1467, 5059, 8479, 2889, 62957, 0};
static int joe_kuo_d6_initial_number05311[] = {1, 1, 7, 9, 23, 31, 109, 49, 73, 197, 337, 2763, 4789, 8983, 9691, 32155, 0};
static int joe_kuo_d6_initial_number05312[] = {1, 3, 1, 3, 31, 25, 121, 91, 371, 339, 833, 2217, 4997, 9425, 10685, 60037, 0};
static int joe_kuo_d6_initial_number05313[] = {1, 1, 7, 11, 31, 3, 105, 125, 255, 175, 803, 1787, 6231, 4441, 5031, 29737, 0};
static int joe_kuo_d6_initial_number05314[] = {1, 1, 1, 11, 21, 63, 75, 209, 393, 437, 495, 2397, 4759, 15703, 29869, 62685, 0};
static int joe_kuo_d6_initial_number05315[] = {1, 1, 7, 7, 25, 33, 117, 7, 293, 623, 2001, 2409, 2487, 14803, 3329, 38277, 0};
static int joe_kuo_d6_initial_number05316[] = {1, 1, 7, 9, 31, 51, 75, 151, 487, 85, 639, 3529, 4491, 1957, 22099, 20263, 0};
static int joe_kuo_d6_initial_number05317[] = {1, 1, 7, 5, 3, 29, 11, 1, 255, 555, 1269, 779, 1525, 7689, 25847, 39347, 0};
static int joe_kuo_d6_initial_number05318[] = {1, 1, 7, 7, 19, 21, 9, 123, 3, 943, 1627, 2979, 919, 4565, 31435, 59789, 0};
static int joe_kuo_d6_initial_number05319[] = {1, 3, 7, 5, 29, 13, 57, 221, 9, 893, 1685, 1879, 4575, 7369, 26191, 6067, 0};
static int joe_kuo_d6_initial_number05320[] = {1, 3, 7, 9, 13, 11, 9, 27, 313, 751, 1377, 1121, 3799, 1673, 16305, 30665, 0};
static int joe_kuo_d6_initial_number05321[] = {1, 3, 3, 13, 23, 17, 59, 47, 499, 525, 681, 3195, 1611, 7003, 7325, 53019, 0};
static int joe_kuo_d6_initial_number05322[] = {1, 3, 1, 7, 23, 51, 59, 127, 67, 263, 1305, 2479, 637, 9441, 6329, 12857, 0};
static int joe_kuo_d6_initial_number05323[] = {1, 1, 7, 7, 9, 3, 51, 193, 205, 503, 19, 2513, 7489, 9241, 15371, 20875, 0};
static int joe_kuo_d6_initial_number05324[] = {1, 3, 3, 1, 1, 57, 17, 181, 23, 549, 769, 2325, 3669, 7017, 25601, 64479, 0};
static int joe_kuo_d6_initial_number05325[] = {1, 3, 1, 15, 5, 55, 53, 13, 327, 447, 1031, 1599, 3639, 15305, 1387, 16035, 0};
static int joe_kuo_d6_initial_number05326[] = {1, 3, 7, 15, 9, 41, 53, 113, 97, 99, 1377, 4047, 3713, 8891, 5601, 5853, 0};
static int joe_kuo_d6_initial_number05327[] = {1, 1, 7, 9, 9, 7, 29, 249, 411, 315, 181, 2153, 6135, 6947, 27595, 15553, 0};
static int joe_kuo_d6_initial_number05328[] = {1, 1, 7, 11, 3, 57, 35, 55, 165, 313, 577, 3049, 4259, 4231, 7225, 58973, 0};
static int joe_kuo_d6_initial_number05329[] = {1, 1, 1, 1, 15, 43, 53, 143, 157, 843, 465, 3897, 4797, 12305, 28807, 46381, 0};
static int joe_kuo_d6_initial_number05330[] = {1, 3, 7, 9, 17, 3, 99, 61, 475, 507, 831, 2207, 367, 27, 23205, 2303, 0};
static int joe_kuo_d6_initial_number05331[] = {1, 1, 3, 11, 27, 29, 99, 237, 43, 955, 361, 3231, 1863, 7973, 8969, 58663, 0};
static int joe_kuo_d6_initial_number05332[] = {1, 3, 1, 7, 15, 15, 11, 251, 135, 261, 675, 3723, 7675, 7993, 1725, 41149, 0};
static int joe_kuo_d6_initial_number05333[] = {1, 3, 3, 9, 29, 11, 105, 37, 151, 215, 1911, 4051, 5427, 11019, 9073, 33129, 0};
static int joe_kuo_d6_initial_number05334[] = {1, 3, 3, 1, 19, 7, 103, 81, 371, 253, 1043, 1231, 6497, 10377, 2349, 29047, 0};
static int joe_kuo_d6_initial_number05335[] = {1, 3, 7, 9, 15, 11, 85, 61, 507, 629, 811, 3883, 1435, 13035, 31913, 2153, 0};
static int joe_kuo_d6_initial_number05336[] = {1, 1, 5, 11, 13, 7, 63, 147, 117, 223, 1217, 3317, 3275, 6851, 2917, 55901, 0};
static int joe_kuo_d6_initial_number05337[] = {1, 3, 3, 9, 7, 21, 1, 63, 117, 297, 405, 797, 337, 10173, 8327, 29157, 0};
static int joe_kuo_d6_initial_number05338[] = {1, 1, 7, 11, 31, 63, 97, 191, 259, 421, 1829, 2117, 4203, 11919, 18001, 55791, 0};
static int joe_kuo_d6_initial_number05339[] = {1, 3, 7, 9, 21, 13, 125, 247, 133, 611, 463, 227, 7815, 8877, 17961, 3641, 0};
static int joe_kuo_d6_initial_number05340[] = {1, 1, 7, 9, 27, 21, 97, 165, 371, 715, 491, 3929, 3067, 12501, 5511, 18217, 0};
static int joe_kuo_d6_initial_number05341[] = {1, 3, 3, 15, 27, 17, 81, 161, 263, 273, 135, 1159, 7535, 4581, 16065, 11493, 0};
static int joe_kuo_d6_initial_number05342[] = {1, 3, 3, 7, 11, 59, 111, 47, 381, 413, 243, 2173, 4957, 2451, 15669, 22071, 0};
static int joe_kuo_d6_initial_number05343[] = {1, 3, 7, 5, 3, 31, 65, 131, 111, 141, 1891, 2983, 3331, 769, 24075, 40865, 0};
static int joe_kuo_d6_initial_number05344[] = {1, 3, 7, 11, 11, 63, 7, 213, 333, 111, 1235, 961, 3749, 9123, 5067, 9657, 0};
static int joe_kuo_d6_initial_number05345[] = {1, 3, 3, 1, 9, 33, 1, 225, 37, 951, 1995, 3215, 3117, 3723, 15013, 64525, 0};
static int joe_kuo_d6_initial_number05346[] = {1, 3, 3, 13, 29, 19, 103, 65, 67, 423, 1679, 3791, 5551, 11711, 195, 52291, 0};
static int joe_kuo_d6_initial_number05347[] = {1, 3, 1, 15, 31, 7, 65, 249, 489, 287, 1385, 1075, 1357, 13593, 20853, 46221, 0};
static int joe_kuo_d6_initial_number05348[] = {1, 1, 1, 13, 23, 45, 29, 175, 147, 101, 1007, 1867, 5387, 12683, 29609, 55861, 0};
static int joe_kuo_d6_initial_number05349[] = {1, 3, 5, 13, 21, 31, 85, 187, 183, 179, 1337, 481, 71, 6117, 2177, 27915, 0};
static int joe_kuo_d6_initial_number05350[] = {1, 3, 5, 1, 15, 5, 11, 141, 205, 177, 891, 3591, 4371, 889, 12957, 61083, 0};
static int joe_kuo_d6_initial_number05351[] = {1, 3, 7, 7, 11, 39, 81, 241, 13, 757, 521, 3029, 2345, 12385, 20683, 64053, 0};
static int joe_kuo_d6_initial_number05352[] = {1, 1, 5, 13, 7, 3, 77, 211, 215, 97, 1409, 1021, 1267, 4785, 27231, 2877, 0};
static int joe_kuo_d6_initial_number05353[] = {1, 3, 5, 3, 11, 57, 93, 39, 415, 179, 1033, 3267, 5383, 10451, 27117, 10711, 0};
static int joe_kuo_d6_initial_number05354[] = {1, 1, 1, 1, 3, 45, 93, 179, 453, 995, 1423, 3849, 4381, 15789, 20789, 18775, 0};
static int joe_kuo_d6_initial_number05355[] = {1, 3, 1, 3, 13, 25, 33, 165, 351, 887, 1109, 195, 8131, 3061, 16743, 22997, 0};
static int joe_kuo_d6_initial_number05356[] = {1, 3, 1, 5, 23, 35, 93, 155, 333, 603, 1571, 229, 2979, 6295, 20793, 40901, 0};
static int joe_kuo_d6_initial_number05357[] = {1, 3, 3, 11, 29, 57, 101, 61, 487, 719, 1009, 1933, 7815, 15329, 12489, 26105, 0};
static int joe_kuo_d6_initial_number05358[] = {1, 3, 3, 9, 23, 59, 73, 13, 141, 815, 1819, 3557, 2555, 5901, 23039, 62321, 0};
static int joe_kuo_d6_initial_number05359[] = {1, 1, 3, 5, 19, 49, 27, 139, 35, 995, 565, 323, 6439, 15679, 27017, 30889, 0};
static int joe_kuo_d6_initial_number05360[] = {1, 3, 7, 3, 1, 3, 27, 153, 235, 59, 989, 2763, 4197, 3931, 31227, 27129, 0};
static int joe_kuo_d6_initial_number05361[] = {1, 3, 1, 15, 23, 45, 71, 205, 465, 451, 347, 1909, 3287, 8363, 9081, 35641, 0};
static int joe_kuo_d6_initial_number05362[] = {1, 1, 5, 1, 25, 29, 17, 201, 463, 903, 1729, 3435, 2483, 10835, 14315, 52505, 0};
static int joe_kuo_d6_initial_number05363[] = {1, 1, 1, 15, 13, 23, 3, 175, 273, 305, 1945, 3319, 7777, 9411, 4209, 4047, 0};
static int joe_kuo_d6_initial_number05364[] = {1, 1, 5, 15, 25, 5, 71, 35, 307, 89, 301, 3465, 1497, 13467, 21911, 13611, 0};
static int joe_kuo_d6_initial_number05365[] = {1, 3, 1, 7, 11, 7, 33, 241, 349, 751, 633, 3281, 6733, 13833, 23605, 34307, 0};
static int joe_kuo_d6_initial_number05366[] = {1, 1, 1, 15, 17, 27, 45, 13, 259, 843, 1207, 1735, 4063, 6259, 1751, 45107, 0};
static int joe_kuo_d6_initial_number05367[] = {1, 1, 5, 15, 29, 51, 73, 95, 5, 31, 933, 423, 5505, 2193, 14919, 2715, 0};
static int joe_kuo_d6_initial_number05368[] = {1, 3, 1, 3, 23, 5, 29, 7, 271, 485, 827, 1159, 77, 16337, 27933, 18741, 0};
static int joe_kuo_d6_initial_number05369[] = {1, 3, 7, 9, 23, 33, 47, 191, 59, 301, 1277, 3745, 7837, 799, 2861, 25853, 0};
static int joe_kuo_d6_initial_number05370[] = {1, 3, 7, 13, 13, 39, 33, 91, 279, 855, 1917, 3601, 3971, 6193, 16951, 6115, 0};
static int joe_kuo_d6_initial_number05371[] = {1, 1, 3, 13, 15, 59, 89, 239, 313, 545, 431, 3823, 5741, 14981, 2647, 42813, 0};
static int joe_kuo_d6_initial_number05372[] = {1, 1, 1, 3, 17, 21, 45, 37, 343, 737, 1795, 2659, 2897, 7683, 15191, 1393, 0};
static int joe_kuo_d6_initial_number05373[] = {1, 1, 3, 3, 19, 55, 27, 201, 459, 953, 1531, 671, 5667, 11695, 149, 14605, 0};
static int joe_kuo_d6_initial_number05374[] = {1, 3, 7, 13, 9, 63, 67, 229, 69, 819, 859, 2035, 5725, 13403, 24197, 2599, 0};
static int joe_kuo_d6_initial_number05375[] = {1, 1, 7, 7, 1, 59, 45, 105, 327, 779, 59, 791, 7593, 8189, 28161, 13339, 0};
static int joe_kuo_d6_initial_number05376[] = {1, 3, 3, 15, 25, 55, 125, 189, 327, 733, 115, 3541, 5227, 12143, 32719, 15785, 0};
static int joe_kuo_d6_initial_number05377[] = {1, 3, 3, 7, 19, 51, 35, 63, 507, 89, 1441, 2369, 4927, 7953, 10193, 8331, 0};
static int joe_kuo_d6_initial_number05378[] = {1, 1, 5, 5, 21, 1, 41, 49, 217, 1001, 1649, 2789, 5267, 1525, 3811, 40785, 0};
static int joe_kuo_d6_initial_number05379[] = {1, 1, 7, 15, 31, 21, 33, 183, 425, 393, 367, 3253, 3047, 465, 28229, 44743, 0};
static int joe_kuo_d6_initial_number05380[] = {1, 3, 7, 5, 1, 23, 11, 71, 269, 707, 5, 2931, 1959, 15089, 9299, 43927, 0};
static int joe_kuo_d6_initial_number05381[] = {1, 3, 5, 15, 21, 51, 31, 15, 49, 481, 297, 3871, 751, 10661, 26401, 62923, 0};
static int joe_kuo_d6_initial_number05382[] = {1, 3, 1, 7, 17, 27, 35, 255, 205, 865, 1659, 1921, 5457, 11633, 2825, 13549, 0};
static int joe_kuo_d6_initial_number05383[] = {1, 1, 5, 15, 17, 35, 83, 237, 437, 7, 2001, 2225, 2601, 10841, 7953, 20651, 0};
static int joe_kuo_d6_initial_number05384[] = {1, 1, 1, 3, 3, 37, 43, 135, 451, 203, 1319, 261, 3889, 14489, 9635, 52545, 0};
static int joe_kuo_d6_initial_number05385[] = {1, 3, 3, 13, 15, 41, 95, 207, 43, 997, 207, 3459, 5995, 5187, 15851, 28551, 0};
static int joe_kuo_d6_initial_number05386[] = {1, 1, 1, 5, 23, 57, 49, 101, 303, 921, 745, 1407, 7071, 2765, 18703, 32671, 0};
static int joe_kuo_d6_initial_number05387[] = {1, 1, 7, 13, 9, 59, 65, 157, 209, 295, 107, 3175, 3401, 1197, 1875, 9033, 0};
static int joe_kuo_d6_initial_number05388[] = {1, 1, 3, 3, 17, 9, 101, 75, 177, 905, 1013, 397, 3421, 6475, 15897, 11269, 0};
static int joe_kuo_d6_initial_number05389[] = {1, 3, 1, 5, 29, 53, 105, 83, 383, 137, 1169, 1245, 6973, 8701, 317, 10073, 0};
static int joe_kuo_d6_initial_number05390[] = {1, 1, 1, 3, 15, 55, 69, 219, 507, 707, 945, 397, 779, 4157, 10333, 7869, 0};
static int joe_kuo_d6_initial_number05391[] = {1, 3, 1, 3, 9, 21, 125, 153, 107, 969, 1979, 651, 1199, 11419, 17043, 32269, 0};
static int joe_kuo_d6_initial_number05392[] = {1, 1, 1, 7, 1, 29, 71, 127, 209, 853, 1515, 1169, 5055, 9981, 30291, 29569, 0};
static int joe_kuo_d6_initial_number05393[] = {1, 3, 1, 11, 1, 1, 109, 251, 329, 633, 2021, 1237, 2147, 11471, 26025, 19649, 0};
static int joe_kuo_d6_initial_number05394[] = {1, 1, 5, 1, 5, 7, 77, 175, 251, 143, 711, 1241, 2133, 9993, 9203, 24949, 0};
static int joe_kuo_d6_initial_number05395[] = {1, 3, 5, 11, 19, 11, 101, 83, 91, 595, 753, 2389, 1887, 11569, 29759, 55785, 0};
static int joe_kuo_d6_initial_number05396[] = {1, 1, 1, 3, 29, 47, 49, 249, 495, 451, 1887, 2547, 543, 2755, 17207, 24379, 0};
static int joe_kuo_d6_initial_number05397[] = {1, 3, 7, 7, 19, 15, 95, 143, 109, 221, 2041, 3593, 4571, 14547, 14217, 16711, 0};
static int joe_kuo_d6_initial_number05398[] = {1, 3, 5, 13, 27, 55, 31, 209, 39, 989, 1435, 1665, 7265, 14127, 13517, 37647, 0};
static int joe_kuo_d6_initial_number05399[] = {1, 1, 3, 7, 1, 49, 63, 71, 249, 371, 435, 3591, 2677, 143, 28897, 38981, 0};
static int joe_kuo_d6_initial_number05400[] = {1, 1, 7, 7, 21, 9, 53, 221, 23, 515, 1971, 3759, 3511, 10207, 12929, 42021, 0};
static int joe_kuo_d6_initial_number05401[] = {1, 3, 1, 13, 25, 21, 3, 85, 421, 19, 663, 3219, 3541, 13021, 5765, 39623, 0};
static int joe_kuo_d6_initial_number05402[] = {1, 3, 1, 7, 11, 5, 125, 169, 293, 715, 1111, 2965, 4815, 6047, 27207, 23093, 0};
static int joe_kuo_d6_initial_number05403[] = {1, 1, 5, 13, 11, 15, 37, 201, 457, 551, 821, 25, 435, 14307, 25855, 1811, 0};
static int joe_kuo_d6_initial_number05404[] = {1, 3, 3, 9, 27, 15, 1, 253, 217, 549, 1013, 2277, 4171, 3813, 19857, 8641, 0};
static int joe_kuo_d6_initial_number05405[] = {1, 3, 5, 5, 29, 37, 71, 49, 163, 949, 425, 2459, 945, 13125, 13981, 21669, 0};
static int joe_kuo_d6_initial_number05406[] = {1, 3, 3, 9, 17, 23, 53, 235, 83, 887, 439, 1939, 7601, 15275, 15739, 17623, 0};
static int joe_kuo_d6_initial_number05407[] = {1, 3, 5, 13, 7, 51, 73, 67, 167, 849, 2021, 2977, 6591, 3721, 5827, 40897, 0};
static int joe_kuo_d6_initial_number05408[] = {1, 1, 5, 11, 27, 19, 81, 181, 383, 23, 1061, 3327, 1671, 7113, 7435, 17591, 0};
static int joe_kuo_d6_initial_number05409[] = {1, 3, 3, 7, 25, 33, 73, 23, 103, 821, 917, 1425, 4739, 7227, 12365, 29509, 0};
static int joe_kuo_d6_initial_number05410[] = {1, 1, 1, 7, 3, 37, 81, 231, 135, 663, 1983, 399, 6881, 14991, 4957, 20913, 0};
static int joe_kuo_d6_initial_number05411[] = {1, 3, 7, 15, 25, 41, 65, 215, 301, 471, 1669, 65, 227, 9307, 29867, 9503, 0};
static int joe_kuo_d6_initial_number05412[] = {1, 1, 7, 3, 25, 47, 31, 63, 53, 995, 33, 1297, 3423, 12301, 16255, 14467, 0};
static int joe_kuo_d6_initial_number05413[] = {1, 3, 1, 1, 31, 25, 79, 131, 353, 169, 1425, 2257, 2631, 1559, 793, 48383, 0};
static int joe_kuo_d6_initial_number05414[] = {1, 3, 3, 5, 31, 9, 93, 35, 503, 243, 595, 2939, 771, 7333, 13429, 59457, 0};
static int joe_kuo_d6_initial_number05415[] = {1, 3, 1, 7, 5, 51, 21, 237, 453, 743, 775, 2207, 453, 12077, 12283, 9735, 0};
static int joe_kuo_d6_initial_number05416[] = {1, 3, 1, 15, 5, 47, 59, 239, 87, 97, 885, 3191, 2547, 13227, 7433, 4989, 0};
static int joe_kuo_d6_initial_number05417[] = {1, 3, 5, 15, 21, 33, 41, 155, 509, 317, 517, 1101, 133, 1897, 8235, 57673, 0};
static int joe_kuo_d6_initial_number05418[] = {1, 1, 5, 15, 7, 9, 59, 155, 415, 831, 1173, 1263, 5451, 7181, 7233, 51483, 0};
static int joe_kuo_d6_initial_number05419[] = {1, 1, 7, 3, 31, 43, 71, 39, 155, 529, 895, 827, 3203, 4625, 32185, 53507, 0};
static int joe_kuo_d6_initial_number05420[] = {1, 3, 1, 11, 15, 17, 85, 141, 277, 439, 1775, 4015, 4457, 281, 22455, 47591, 0};
static int joe_kuo_d6_initial_number05421[] = {1, 3, 5, 11, 25, 41, 93, 39, 51, 655, 1347, 3109, 2479, 9057, 18939, 26217, 0};
static int joe_kuo_d6_initial_number05422[] = {1, 3, 3, 11, 31, 41, 7, 189, 241, 443, 65, 1723, 4817, 13405, 9641, 63965, 0};
static int joe_kuo_d6_initial_number05423[] = {1, 1, 5, 3, 19, 29, 111, 11, 399, 277, 425, 1331, 5365, 14521, 16449, 29411, 0};
static int joe_kuo_d6_initial_number05424[] = {1, 1, 3, 9, 25, 53, 91, 175, 481, 307, 1025, 71, 7425, 10667, 4053, 25605, 0};
static int joe_kuo_d6_initial_number05425[] = {1, 3, 7, 7, 3, 13, 75, 175, 467, 363, 1889, 1759, 1155, 5511, 13047, 39637, 0};
static int joe_kuo_d6_initial_number05426[] = {1, 3, 7, 9, 5, 21, 65, 43, 223, 97, 835, 2253, 3313, 9817, 23015, 55365, 0};
static int joe_kuo_d6_initial_number05427[] = {1, 1, 1, 13, 9, 63, 95, 61, 417, 713, 1469, 1815, 795, 13609, 1567, 33535, 0};
static int joe_kuo_d6_initial_number05428[] = {1, 3, 7, 1, 25, 45, 41, 27, 53, 407, 1633, 1317, 6267, 3293, 8899, 45235, 0};
static int joe_kuo_d6_initial_number05429[] = {1, 3, 5, 11, 23, 47, 91, 211, 41, 775, 1301, 1407, 7931, 4491, 7579, 62321, 0};
static int joe_kuo_d6_initial_number05430[] = {1, 1, 1, 7, 23, 15, 57, 31, 437, 293, 1999, 2589, 5453, 2519, 15533, 26949, 0};
static int joe_kuo_d6_initial_number05431[] = {1, 3, 1, 9, 1, 27, 41, 165, 129, 297, 1887, 1171, 201, 5817, 24503, 38911, 0};
static int joe_kuo_d6_initial_number05432[] = {1, 3, 1, 7, 1, 11, 63, 225, 191, 623, 1281, 3275, 167, 14697, 4905, 47289, 0};
static int joe_kuo_d6_initial_number05433[] = {1, 3, 7, 7, 15, 47, 87, 177, 303, 391, 355, 3997, 7557, 6201, 20531, 22483, 0};
static int joe_kuo_d6_initial_number05434[] = {1, 3, 3, 15, 17, 31, 111, 87, 61, 477, 1581, 3787, 5919, 10511, 2607, 62951, 0};
static int joe_kuo_d6_initial_number05435[] = {1, 3, 3, 9, 29, 19, 63, 27, 205, 915, 1131, 3821, 673, 2875, 12703, 14367, 0};
static int joe_kuo_d6_initial_number05436[] = {1, 3, 7, 1, 21, 19, 25, 97, 281, 635, 629, 181, 5207, 11133, 3687, 3489, 0};
static int joe_kuo_d6_initial_number05437[] = {1, 3, 3, 9, 5, 63, 3, 21, 385, 713, 1805, 3583, 2807, 15455, 13057, 39771, 0};
static int joe_kuo_d6_initial_number05438[] = {1, 3, 5, 9, 3, 59, 1, 253, 123, 405, 575, 3911, 4609, 11869, 23593, 947, 0};
static int joe_kuo_d6_initial_number05439[] = {1, 1, 7, 5, 21, 27, 101, 221, 413, 153, 1647, 3637, 803, 5697, 20761, 61137, 0};
static int joe_kuo_d6_initial_number05440[] = {1, 3, 7, 13, 31, 35, 111, 253, 187, 499, 465, 157, 5551, 10417, 323, 34913, 0};
static int joe_kuo_d6_initial_number05441[] = {1, 1, 1, 7, 11, 41, 29, 65, 393, 69, 1373, 2291, 7807, 13159, 13735, 31001, 0};
static int joe_kuo_d6_initial_number05442[] = {1, 3, 7, 13, 31, 49, 1, 35, 377, 11, 427, 2803, 1725, 9165, 22633, 63985, 0};
static int joe_kuo_d6_initial_number05443[] = {1, 3, 7, 13, 3, 41, 27, 43, 269, 599, 1035, 3681, 309, 6011, 1065, 27901, 0};
static int joe_kuo_d6_initial_number05444[] = {1, 3, 5, 13, 1, 19, 105, 143, 425, 883, 1669, 155, 189, 8573, 10759, 25507, 0};
static int joe_kuo_d6_initial_number05445[] = {1, 3, 5, 1, 15, 37, 115, 9, 149, 79, 1733, 1045, 1849, 3289, 13957, 63171, 0};
static int joe_kuo_d6_initial_number05446[] = {1, 1, 3, 9, 17, 27, 49, 201, 155, 901, 47, 1585, 4419, 8117, 25425, 14699, 0};
static int joe_kuo_d6_initial_number05447[] = {1, 1, 7, 13, 19, 55, 19, 21, 427, 77, 1295, 1471, 6271, 7985, 19337, 12701, 0};
static int joe_kuo_d6_initial_number05448[] = {1, 1, 1, 1, 11, 49, 101, 53, 175, 157, 839, 2713, 6149, 6391, 8089, 27739, 0};
static int joe_kuo_d6_initial_number05449[] = {1, 3, 1, 1, 5, 21, 121, 199, 107, 221, 993, 1737, 409, 2545, 9287, 54605, 0};
static int joe_kuo_d6_initial_number05450[] = {1, 1, 1, 3, 25, 25, 51, 121, 371, 861, 967, 3257, 6221, 11701, 27897, 42509, 0};
static int joe_kuo_d6_initial_number05451[] = {1, 1, 1, 3, 17, 25, 101, 191, 313, 817, 815, 1855, 7999, 12649, 23385, 26081, 0};
static int joe_kuo_d6_initial_number05452[] = {1, 1, 5, 1, 25, 55, 51, 237, 63, 943, 455, 619, 2381, 9773, 14575, 34205, 0};
static int joe_kuo_d6_initial_number05453[] = {1, 3, 3, 3, 13, 49, 101, 37, 457, 727, 1009, 2389, 4841, 16303, 9599, 17773, 0};
static int joe_kuo_d6_initial_number05454[] = {1, 1, 7, 9, 19, 59, 111, 205, 19, 229, 1755, 1169, 7767, 13335, 19669, 33269, 0};
static int joe_kuo_d6_initial_number05455[] = {1, 3, 1, 15, 29, 1, 51, 167, 7, 415, 1295, 3165, 1241, 12859, 5531, 20083, 0};
static int joe_kuo_d6_initial_number05456[] = {1, 1, 3, 7, 7, 51, 31, 221, 57, 643, 1461, 3951, 6237, 5757, 1907, 40471, 0};
static int joe_kuo_d6_initial_number05457[] = {1, 3, 3, 5, 23, 39, 49, 177, 183, 117, 1379, 3803, 771, 12723, 22291, 32667, 0};
static int joe_kuo_d6_initial_number05458[] = {1, 1, 3, 13, 27, 17, 39, 27, 313, 141, 1421, 2967, 2213, 1915, 23219, 15113, 0};
static int joe_kuo_d6_initial_number05459[] = {1, 1, 1, 11, 5, 55, 51, 55, 389, 895, 57, 1447, 1497, 2799, 19585, 11587, 0};
static int joe_kuo_d6_initial_number05460[] = {1, 1, 5, 13, 11, 55, 91, 77, 69, 131, 93, 1383, 3321, 10487, 15087, 8539, 0};
static int joe_kuo_d6_initial_number05461[] = {1, 1, 3, 9, 23, 49, 107, 131, 363, 733, 1189, 3575, 7815, 10071, 20291, 7533, 0};
static int joe_kuo_d6_initial_number05462[] = {1, 1, 3, 15, 31, 31, 73, 15, 199, 17, 761, 3271, 1419, 12985, 32717, 37317, 0};
static int joe_kuo_d6_initial_number05463[] = {1, 3, 1, 13, 23, 9, 3, 59, 109, 729, 1321, 4023, 7041, 14445, 22205, 8993, 0};
static int joe_kuo_d6_initial_number05464[] = {1, 1, 3, 15, 19, 43, 99, 59, 491, 479, 715, 2235, 7493, 889, 31465, 1375, 0};
static int joe_kuo_d6_initial_number05465[] = {1, 3, 3, 15, 9, 47, 35, 115, 227, 615, 605, 1143, 5923, 10939, 9497, 24911, 0};
static int joe_kuo_d6_initial_number05466[] = {1, 1, 3, 15, 23, 53, 111, 87, 423, 497, 85, 3525, 7341, 8885, 21543, 30083, 0};
static int joe_kuo_d6_initial_number05467[] = {1, 1, 5, 3, 21, 5, 117, 157, 407, 743, 715, 1883, 4425, 10187, 6395, 43673, 0};
static int joe_kuo_d6_initial_number05468[] = {1, 3, 3, 3, 31, 39, 119, 77, 269, 891, 1391, 3085, 2881, 10639, 3391, 44911, 0};
static int joe_kuo_d6_initial_number05469[] = {1, 3, 7, 5, 7, 5, 115, 91, 5, 107, 1401, 1409, 1811, 737, 5399, 9119, 0};
static int joe_kuo_d6_initial_number05470[] = {1, 1, 5, 9, 17, 45, 107, 15, 397, 299, 1219, 1675, 963, 10111, 31679, 13809, 0};
static int joe_kuo_d6_initial_number05471[] = {1, 1, 3, 7, 29, 17, 43, 95, 261, 601, 1091, 3633, 1357, 13461, 16583, 12183, 0};
static int joe_kuo_d6_initial_number05472[] = {1, 1, 5, 1, 19, 55, 5, 195, 187, 427, 421, 1717, 4223, 2943, 23147, 32985, 0};
static int joe_kuo_d6_initial_number05473[] = {1, 3, 1, 3, 3, 23, 69, 95, 347, 273, 1223, 3061, 1587, 4707, 32415, 53991, 0};
static int joe_kuo_d6_initial_number05474[] = {1, 1, 7, 13, 15, 13, 29, 151, 325, 949, 2029, 813, 5339, 14165, 1159, 56917, 0};
static int joe_kuo_d6_initial_number05475[] = {1, 1, 1, 13, 9, 33, 67, 109, 215, 313, 1407, 3543, 2403, 5051, 20367, 13527, 0};
static int joe_kuo_d6_initial_number05476[] = {1, 3, 1, 9, 5, 1, 9, 195, 497, 495, 1107, 745, 1647, 10637, 1933, 44965, 0};
static int joe_kuo_d6_initial_number05477[] = {1, 1, 3, 9, 13, 19, 49, 183, 497, 519, 1433, 519, 4317, 2359, 10349, 63789, 0};
static int joe_kuo_d6_initial_number05478[] = {1, 3, 5, 9, 29, 45, 55, 163, 189, 533, 275, 237, 5453, 8895, 6377, 14117, 0};
static int joe_kuo_d6_initial_number05479[] = {1, 3, 7, 5, 25, 3, 111, 241, 139, 383, 689, 3481, 2557, 11163, 5275, 14671, 0};
static int joe_kuo_d6_initial_number05480[] = {1, 3, 3, 9, 3, 5, 5, 141, 507, 331, 645, 1957, 5857, 2083, 24717, 11131, 0};
static int joe_kuo_d6_initial_number05481[] = {1, 1, 5, 1, 11, 49, 113, 45, 491, 945, 1467, 3485, 6369, 15983, 14489, 12679, 0};
static int joe_kuo_d6_initial_number05482[] = {1, 3, 7, 9, 11, 41, 77, 127, 147, 635, 1757, 587, 7423, 4233, 14875, 30531, 0};
static int joe_kuo_d6_initial_number05483[] = {1, 3, 3, 9, 17, 29, 21, 249, 155, 441, 1443, 2093, 1967, 2117, 5815, 3857, 0};
static int joe_kuo_d6_initial_number05484[] = {1, 3, 5, 3, 11, 55, 75, 157, 105, 507, 309, 3737, 2645, 7547, 29373, 62775, 0};
static int joe_kuo_d6_initial_number05485[] = {1, 1, 3, 3, 11, 29, 49, 241, 21, 653, 1273, 715, 8123, 14241, 25257, 1681, 0};
static int joe_kuo_d6_initial_number05486[] = {1, 1, 7, 5, 11, 31, 33, 215, 243, 369, 247, 3365, 4065, 9389, 32457, 58393, 0};
static int joe_kuo_d6_initial_number05487[] = {1, 3, 5, 3, 31, 55, 51, 201, 439, 835, 1805, 25, 7987, 10611, 26893, 43663, 0};
static int joe_kuo_d6_initial_number05488[] = {1, 1, 5, 9, 27, 51, 29, 31, 17, 163, 71, 603, 3083, 12439, 11043, 6471, 0};
static int joe_kuo_d6_initial_number05489[] = {1, 1, 5, 7, 13, 1, 91, 109, 213, 721, 1345, 3037, 3047, 5209, 15559, 17467, 0};
static int joe_kuo_d6_initial_number05490[] = {1, 1, 3, 9, 19, 37, 93, 185, 107, 859, 501, 3843, 1631, 4389, 2215, 52225, 0};
static int joe_kuo_d6_initial_number05491[] = {1, 1, 3, 3, 25, 5, 119, 17, 33, 841, 997, 439, 6135, 7405, 8445, 40087, 0};
static int joe_kuo_d6_initial_number05492[] = {1, 1, 7, 15, 19, 17, 101, 43, 423, 647, 29, 1143, 3259, 7807, 15929, 809, 0};
static int joe_kuo_d6_initial_number05493[] = {1, 1, 7, 13, 21, 57, 83, 101, 183, 309, 171, 3173, 7919, 7263, 29403, 11055, 0};
static int joe_kuo_d6_initial_number05494[] = {1, 1, 1, 13, 3, 1, 57, 15, 435, 713, 459, 847, 3115, 191, 19809, 43037, 0};
static int joe_kuo_d6_initial_number05495[] = {1, 1, 7, 7, 17, 45, 91, 117, 157, 647, 121, 4091, 3611, 14169, 19883, 9069, 0};
static int joe_kuo_d6_initial_number05496[] = {1, 1, 7, 7, 1, 47, 21, 253, 419, 157, 549, 2105, 4475, 3127, 3939, 5809, 0};
static int joe_kuo_d6_initial_number05497[] = {1, 1, 5, 7, 15, 7, 71, 195, 87, 757, 77, 1391, 151, 12995, 26403, 17789, 0};
static int joe_kuo_d6_initial_number05498[] = {1, 1, 1, 15, 15, 3, 79, 43, 475, 263, 1195, 2385, 5955, 7039, 15625, 19263, 0};
static int joe_kuo_d6_initial_number05499[] = {1, 1, 5, 13, 13, 29, 5, 29, 489, 929, 2027, 2771, 6899, 14173, 13747, 1019, 0};
static int joe_kuo_d6_initial_number05500[] = {1, 1, 7, 1, 5, 45, 37, 85, 221, 871, 627, 3445, 4853, 4243, 21651, 30201, 0};
static int joe_kuo_d6_initial_number05501[] = {1, 3, 7, 11, 9, 49, 73, 245, 161, 321, 579, 2641, 6653, 5513, 11555, 53091, 0};
static int joe_kuo_d6_initial_number05502[] = {1, 1, 7, 7, 25, 63, 101, 179, 497, 113, 9, 549, 5341, 6097, 13305, 52421, 0};
static int joe_kuo_d6_initial_number05503[] = {1, 3, 3, 7, 21, 7, 89, 79, 137, 651, 189, 3025, 1403, 4559, 32611, 1857, 0};
static int joe_kuo_d6_initial_number05504[] = {1, 3, 1, 13, 27, 55, 61, 135, 81, 195, 799, 3477, 4873, 2691, 29769, 59033, 0};
static int joe_kuo_d6_initial_number05505[] = {1, 3, 3, 15, 29, 11, 7, 11, 151, 649, 1511, 2327, 6921, 12911, 3571, 35039, 0};
static int joe_kuo_d6_initial_number05506[] = {1, 1, 5, 11, 25, 19, 49, 133, 455, 373, 1827, 3619, 2127, 3365, 11327, 52785, 0};
static int joe_kuo_d6_initial_number05507[] = {1, 3, 5, 1, 9, 19, 107, 171, 205, 93, 1557, 2693, 4297, 4415, 20407, 19221, 0};
static int joe_kuo_d6_initial_number05508[] = {1, 3, 3, 11, 15, 45, 37, 143, 61, 759, 2047, 2465, 3923, 9477, 30831, 46377, 0};
static int joe_kuo_d6_initial_number05509[] = {1, 3, 7, 11, 17, 51, 117, 129, 77, 579, 1167, 1575, 1967, 10099, 22137, 31431, 0};
static int joe_kuo_d6_initial_number05510[] = {1, 1, 5, 13, 31, 61, 67, 37, 49, 283, 235, 783, 7353, 5149, 12245, 18725, 0};
static int joe_kuo_d6_initial_number05511[] = {1, 1, 5, 3, 17, 33, 35, 83, 359, 253, 1911, 913, 6481, 4635, 24223, 19693, 0};
static int joe_kuo_d6_initial_number05512[] = {1, 1, 1, 13, 19, 15, 81, 131, 417, 969, 1911, 2829, 3097, 5333, 11175, 52269, 0};
static int joe_kuo_d6_initial_number05513[] = {1, 3, 7, 15, 5, 39, 19, 205, 329, 83, 1473, 3259, 6409, 12297, 30557, 40917, 0};
static int joe_kuo_d6_initial_number05514[] = {1, 3, 1, 15, 17, 33, 123, 185, 501, 299, 621, 929, 5797, 10539, 12321, 61043, 0};
static int joe_kuo_d6_initial_number05515[] = {1, 3, 3, 1, 7, 51, 119, 19, 17, 203, 373, 2145, 2367, 9965, 28071, 50083, 0};
static int joe_kuo_d6_initial_number05516[] = {1, 1, 1, 5, 1, 35, 43, 243, 91, 793, 1299, 2705, 7987, 1291, 10147, 17863, 0};
static int joe_kuo_d6_initial_number05517[] = {1, 3, 5, 15, 27, 13, 99, 33, 179, 479, 897, 1113, 1639, 12321, 23987, 36219, 0};
static int joe_kuo_d6_initial_number05518[] = {1, 1, 5, 9, 29, 41, 85, 9, 389, 583, 293, 1727, 2575, 13767, 15443, 40027, 0};
static int joe_kuo_d6_initial_number05519[] = {1, 1, 7, 11, 29, 33, 93, 115, 51, 747, 1569, 3557, 869, 1991, 29877, 44131, 0};
static int joe_kuo_d6_initial_number05520[] = {1, 3, 7, 7, 29, 11, 33, 137, 411, 689, 1815, 1789, 6557, 5973, 19445, 49449, 0};
static int joe_kuo_d6_initial_number05521[] = {1, 1, 5, 1, 17, 3, 77, 55, 351, 325, 983, 3935, 819, 14127, 18893, 62553, 0};
static int joe_kuo_d6_initial_number05522[] = {1, 3, 3, 1, 15, 33, 25, 159, 135, 385, 837, 3615, 1649, 1687, 3421, 47579, 0};
static int joe_kuo_d6_initial_number05523[] = {1, 3, 1, 7, 17, 25, 125, 169, 469, 919, 1789, 863, 2827, 949, 21347, 10517, 0};
static int joe_kuo_d6_initial_number05524[] = {1, 3, 1, 11, 27, 19, 45, 255, 175, 483, 1073, 3779, 611, 2809, 179, 19767, 0};
static int joe_kuo_d6_initial_number05525[] = {1, 1, 3, 1, 21, 61, 47, 171, 179, 85, 61, 1209, 4005, 11439, 8477, 27229, 0};
static int joe_kuo_d6_initial_number05526[] = {1, 1, 1, 1, 3, 1, 43, 159, 261, 411, 1449, 1621, 3681, 3465, 24029, 3493, 0};
static int joe_kuo_d6_initial_number05527[] = {1, 3, 1, 11, 5, 13, 9, 23, 369, 769, 363, 3329, 409, 13151, 30269, 9621, 0};
static int joe_kuo_d6_initial_number05528[] = {1, 1, 5, 1, 13, 39, 121, 39, 295, 981, 1151, 4039, 8179, 5007, 25527, 1249, 0};
static int joe_kuo_d6_initial_number05529[] = {1, 3, 7, 5, 17, 21, 47, 233, 211, 349, 643, 109, 7553, 11453, 30967, 30959, 0};
static int joe_kuo_d6_initial_number05530[] = {1, 1, 5, 3, 31, 39, 105, 137, 487, 855, 107, 1567, 2385, 2889, 25777, 33709, 0};
static int joe_kuo_d6_initial_number05531[] = {1, 1, 1, 9, 1, 7, 9, 69, 465, 965, 355, 299, 3327, 14997, 14599, 2241, 0};
static int joe_kuo_d6_initial_number05532[] = {1, 3, 5, 11, 5, 39, 69, 203, 367, 611, 199, 3931, 5039, 8683, 8675, 49151, 0};
static int joe_kuo_d6_initial_number05533[] = {1, 1, 7, 13, 31, 35, 101, 213, 273, 827, 203, 2773, 4131, 1397, 15311, 62903, 0};
static int joe_kuo_d6_initial_number05534[] = {1, 3, 7, 9, 23, 41, 33, 213, 411, 965, 563, 3035, 247, 15019, 20429, 61081, 0};
static int joe_kuo_d6_initial_number05535[] = {1, 1, 5, 5, 5, 1, 1, 203, 27, 199, 67, 1301, 7831, 12839, 2777, 6325, 0};
static int joe_kuo_d6_initial_number05536[] = {1, 3, 1, 11, 27, 3, 11, 173, 9, 121, 1701, 2741, 29, 16319, 15849, 11989, 0};
static int joe_kuo_d6_initial_number05537[] = {1, 1, 5, 13, 17, 49, 125, 153, 261, 603, 1617, 3967, 6083, 7745, 19683, 49885, 0};
static int joe_kuo_d6_initial_number05538[] = {1, 3, 3, 7, 23, 13, 39, 169, 135, 361, 579, 1443, 7615, 2389, 5669, 651, 0};
static int joe_kuo_d6_initial_number05539[] = {1, 3, 5, 9, 31, 19, 81, 83, 483, 93, 1895, 2285, 7771, 8281, 8353, 39677, 0};
static int joe_kuo_d6_initial_number05540[] = {1, 1, 7, 7, 23, 51, 127, 25, 101, 611, 1095, 3013, 2685, 8153, 22629, 53355, 0};
static int joe_kuo_d6_initial_number05541[] = {1, 1, 1, 11, 11, 37, 35, 127, 317, 877, 1591, 401, 4121, 9945, 12121, 28257, 0};
static int joe_kuo_d6_initial_number05542[] = {1, 3, 5, 11, 23, 9, 43, 135, 37, 405, 2009, 2903, 3065, 6591, 8473, 58231, 0};
static int joe_kuo_d6_initial_number05543[] = {1, 1, 3, 11, 21, 45, 21, 205, 425, 891, 357, 2609, 495, 7541, 2161, 37853, 0};
static int joe_kuo_d6_initial_number05544[] = {1, 3, 1, 1, 25, 9, 113, 243, 317, 491, 997, 2023, 5869, 13643, 11483, 6733, 0};
static int joe_kuo_d6_initial_number05545[] = {1, 3, 1, 15, 13, 3, 75, 25, 409, 421, 1817, 857, 4575, 12559, 1211, 62177, 0};
static int joe_kuo_d6_initial_number05546[] = {1, 1, 3, 7, 17, 35, 115, 195, 217, 223, 1195, 749, 5619, 7265, 7369, 46907, 0};
static int joe_kuo_d6_initial_number05547[] = {1, 1, 1, 13, 5, 57, 117, 161, 121, 533, 987, 3959, 5047, 15213, 15811, 41841, 0};
static int joe_kuo_d6_initial_number05548[] = {1, 3, 7, 1, 19, 55, 97, 191, 217, 75, 1881, 3351, 3737, 12179, 22875, 28767, 0};
static int joe_kuo_d6_initial_number05549[] = {1, 3, 1, 9, 15, 41, 9, 97, 491, 31, 1191, 963, 875, 8259, 2723, 9503, 0};
static int joe_kuo_d6_initial_number05550[] = {1, 3, 7, 9, 3, 17, 21, 71, 1, 523, 2031, 3469, 3181, 8707, 6093, 8837, 0};
static int joe_kuo_d6_initial_number05551[] = {1, 3, 5, 3, 5, 1, 11, 91, 33, 37, 643, 85, 4325, 4293, 8351, 28311, 0};
static int joe_kuo_d6_initial_number05552[] = {1, 3, 7, 5, 15, 45, 47, 183, 391, 113, 493, 3607, 2541, 13521, 31613, 36049, 0};
static int joe_kuo_d6_initial_number05553[] = {1, 1, 3, 9, 15, 33, 115, 69, 289, 217, 1875, 1339, 4995, 9073, 6909, 15977, 0};
static int joe_kuo_d6_initial_number05554[] = {1, 1, 7, 3, 9, 29, 39, 219, 119, 369, 893, 1293, 4511, 15703, 11093, 30259, 0};
static int joe_kuo_d6_initial_number05555[] = {1, 1, 5, 13, 19, 9, 17, 75, 149, 415, 35, 97, 563, 1689, 18311, 54291, 0};
static int joe_kuo_d6_initial_number05556[] = {1, 1, 7, 3, 17, 15, 71, 29, 25, 883, 1801, 1675, 5585, 9413, 3813, 26673, 0};
static int joe_kuo_d6_initial_number05557[] = {1, 1, 3, 15, 5, 13, 31, 41, 311, 411, 573, 281, 8075, 7163, 11817, 29121, 0};
static int joe_kuo_d6_initial_number05558[] = {1, 1, 7, 9, 7, 57, 15, 141, 337, 123, 269, 3737, 6455, 2539, 13655, 59809, 0};
static int joe_kuo_d6_initial_number05559[] = {1, 3, 1, 15, 15, 23, 111, 51, 429, 483, 1567, 1317, 8057, 1609, 30181, 35687, 0};
static int joe_kuo_d6_initial_number05560[] = {1, 3, 7, 9, 25, 43, 67, 13, 319, 587, 1827, 443, 2031, 8563, 16173, 58667, 0};
static int joe_kuo_d6_initial_number05561[] = {1, 3, 5, 13, 11, 63, 89, 105, 377, 257, 7, 4077, 5091, 5125, 25, 39033, 0};
static int joe_kuo_d6_initial_number05562[] = {1, 3, 3, 1, 9, 29, 7, 87, 239, 469, 1851, 1711, 5797, 7137, 11405, 20175, 0};
static int joe_kuo_d6_initial_number05563[] = {1, 3, 3, 1, 13, 17, 101, 209, 301, 95, 1181, 3091, 4451, 1241, 17057, 335, 0};
static int joe_kuo_d6_initial_number05564[] = {1, 1, 1, 9, 31, 7, 81, 161, 391, 677, 115, 141, 5375, 7279, 1887, 1645, 0};
static int joe_kuo_d6_initial_number05565[] = {1, 1, 1, 11, 27, 61, 3, 195, 189, 409, 1747, 331, 2931, 9535, 1369, 47233, 0};
static int joe_kuo_d6_initial_number05566[] = {1, 3, 5, 15, 7, 15, 105, 255, 491, 689, 97, 1131, 3459, 7147, 27541, 62307, 0};
static int joe_kuo_d6_initial_number05567[] = {1, 3, 5, 9, 5, 23, 1, 209, 233, 717, 1919, 1835, 5073, 10403, 28979, 1945, 0};
static int joe_kuo_d6_initial_number05568[] = {1, 1, 3, 9, 3, 35, 107, 209, 255, 447, 227, 273, 443, 9367, 24105, 34095, 0};
static int joe_kuo_d6_initial_number05569[] = {1, 1, 3, 11, 3, 33, 5, 165, 83, 787, 1555, 31, 4351, 16301, 27453, 56739, 0};
static int joe_kuo_d6_initial_number05570[] = {1, 1, 5, 5, 29, 9, 127, 253, 281, 487, 441, 1129, 2811, 9113, 28855, 57117, 0};
static int joe_kuo_d6_initial_number05571[] = {1, 1, 1, 13, 13, 1, 17, 143, 121, 917, 1571, 3777, 2297, 3691, 3001, 42327, 0};
static int joe_kuo_d6_initial_number05572[] = {1, 1, 5, 1, 25, 7, 41, 245, 241, 929, 1203, 3755, 7113, 9333, 22549, 12253, 0};
static int joe_kuo_d6_initial_number05573[] = {1, 3, 1, 11, 1, 13, 69, 73, 285, 975, 1331, 3411, 7777, 3489, 2763, 44297, 0};
static int joe_kuo_d6_initial_number05574[] = {1, 3, 5, 11, 3, 37, 21, 105, 153, 307, 989, 627, 3127, 6169, 10573, 22139, 0};
static int joe_kuo_d6_initial_number05575[] = {1, 3, 5, 15, 11, 11, 39, 21, 355, 437, 547, 2283, 6443, 5561, 6367, 53899, 0};
static int joe_kuo_d6_initial_number05576[] = {1, 1, 1, 9, 25, 51, 97, 175, 131, 207, 1367, 2561, 7455, 8289, 5877, 4383, 0};
static int joe_kuo_d6_initial_number05577[] = {1, 3, 7, 1, 29, 17, 7, 1, 43, 831, 591, 2145, 975, 909, 23107, 43987, 0};
static int joe_kuo_d6_initial_number05578[] = {1, 3, 5, 13, 5, 47, 65, 65, 439, 807, 271, 1615, 1873, 10905, 30537, 3337, 0};
static int joe_kuo_d6_initial_number05579[] = {1, 1, 1, 13, 29, 1, 53, 5, 307, 347, 1059, 545, 1129, 11883, 5969, 50433, 0};
static int joe_kuo_d6_initial_number05580[] = {1, 1, 3, 5, 31, 29, 63, 201, 255, 803, 677, 1499, 1691, 14037, 18251, 6881, 0};
static int joe_kuo_d6_initial_number05581[] = {1, 3, 1, 5, 5, 13, 13, 121, 505, 855, 467, 2803, 3297, 4689, 18443, 60757, 0};
static int joe_kuo_d6_initial_number05582[] = {1, 1, 5, 13, 11, 19, 11, 201, 101, 431, 693, 1267, 6909, 7759, 2265, 6125, 0};
static int joe_kuo_d6_initial_number05583[] = {1, 1, 7, 13, 9, 3, 37, 209, 269, 27, 1041, 2587, 4667, 11077, 27009, 27967, 0};
static int joe_kuo_d6_initial_number05584[] = {1, 1, 5, 5, 1, 5, 127, 179, 463, 949, 1525, 231, 1201, 3283, 9929, 46677, 0};
static int joe_kuo_d6_initial_number05585[] = {1, 3, 1, 15, 9, 11, 89, 129, 331, 833, 1415, 229, 2059, 13145, 30525, 33773, 0};
static int joe_kuo_d6_initial_number05586[] = {1, 1, 7, 15, 7, 43, 95, 177, 313, 989, 483, 825, 1885, 4535, 8213, 39835, 0};
static int joe_kuo_d6_initial_number05587[] = {1, 1, 7, 3, 19, 27, 45, 163, 17, 523, 1565, 3753, 7433, 14117, 8499, 40177, 0};
static int joe_kuo_d6_initial_number05588[] = {1, 3, 3, 15, 23, 45, 95, 31, 55, 469, 383, 237, 6287, 5561, 20901, 48259, 0};
static int joe_kuo_d6_initial_number05589[] = {1, 1, 3, 1, 23, 61, 101, 185, 35, 553, 463, 1169, 2875, 12491, 14327, 47999, 0};
static int joe_kuo_d6_initial_number05590[] = {1, 3, 3, 13, 23, 29, 77, 21, 19, 3, 769, 1943, 2081, 9135, 29767, 11367, 0};
static int joe_kuo_d6_initial_number05591[] = {1, 1, 5, 15, 5, 11, 59, 163, 355, 993, 375, 3181, 2675, 8515, 17007, 38467, 0};
static int joe_kuo_d6_initial_number05592[] = {1, 1, 5, 13, 19, 5, 107, 83, 123, 843, 413, 2137, 7531, 3833, 6149, 55925, 0};
static int joe_kuo_d6_initial_number05593[] = {1, 3, 1, 13, 23, 9, 41, 145, 265, 591, 1899, 3145, 5255, 13653, 12245, 25367, 0};
static int joe_kuo_d6_initial_number05594[] = {1, 1, 3, 15, 1, 45, 119, 79, 121, 137, 1945, 2041, 2409, 1377, 29501, 29885, 0};
static int joe_kuo_d6_initial_number05595[] = {1, 1, 7, 11, 27, 57, 75, 183, 341, 237, 1909, 2785, 5973, 9965, 21729, 45089, 0};
static int joe_kuo_d6_initial_number05596[] = {1, 3, 5, 7, 21, 1, 41, 189, 131, 1021, 1375, 1463, 5985, 12499, 4115, 9131, 0};
static int joe_kuo_d6_initial_number05597[] = {1, 3, 7, 15, 21, 19, 59, 171, 339, 841, 1725, 2909, 6437, 2499, 17191, 43275, 0};
static int joe_kuo_d6_initial_number05598[] = {1, 3, 1, 1, 15, 55, 31, 199, 351, 183, 1819, 1873, 7877, 12407, 7881, 1663, 0};
static int joe_kuo_d6_initial_number05599[] = {1, 1, 3, 15, 1, 61, 111, 61, 115, 243, 1281, 3195, 1229, 10973, 189, 36049, 0};
static int joe_kuo_d6_initial_number05600[] = {1, 1, 3, 15, 13, 13, 3, 49, 61, 839, 1615, 1853, 3619, 7805, 25441, 8789, 0};
static int joe_kuo_d6_initial_number05601[] = {1, 3, 1, 9, 27, 43, 7, 193, 397, 869, 1079, 1785, 6535, 1801, 29363, 59269, 0};
static int joe_kuo_d6_initial_number05602[] = {1, 3, 5, 5, 31, 57, 37, 53, 41, 871, 809, 1235, 1011, 12979, 8749, 52151, 0};
static int joe_kuo_d6_initial_number05603[] = {1, 1, 7, 13, 25, 59, 69, 117, 463, 587, 513, 297, 6991, 5905, 25737, 37249, 0};
static int joe_kuo_d6_initial_number05604[] = {1, 1, 5, 1, 27, 19, 121, 97, 349, 793, 1971, 3057, 4781, 15841, 22625, 58637, 0};
static int joe_kuo_d6_initial_number05605[] = {1, 1, 5, 5, 25, 31, 11, 133, 411, 239, 1071, 3473, 1733, 7175, 31841, 46665, 0};
static int joe_kuo_d6_initial_number05606[] = {1, 3, 3, 13, 19, 25, 99, 175, 271, 175, 1755, 3597, 4615, 15207, 25573, 16089, 0};
static int joe_kuo_d6_initial_number05607[] = {1, 1, 7, 11, 17, 19, 119, 91, 505, 791, 55, 2979, 7463, 10147, 23647, 33283, 0};
static int joe_kuo_d6_initial_number05608[] = {1, 3, 1, 1, 21, 11, 43, 173, 239, 839, 1533, 1559, 549, 15621, 22133, 46387, 0};
static int joe_kuo_d6_initial_number05609[] = {1, 1, 3, 13, 31, 15, 73, 15, 209, 267, 701, 2899, 1163, 10093, 7727, 44211, 0};
static int joe_kuo_d6_initial_number05610[] = {1, 3, 1, 11, 29, 21, 5, 39, 421, 375, 411, 3693, 3901, 8507, 10883, 16189, 0};
static int joe_kuo_d6_initial_number05611[] = {1, 3, 1, 7, 13, 13, 73, 167, 149, 677, 1435, 621, 2511, 13813, 13129, 55327, 0};
static int joe_kuo_d6_initial_number05612[] = {1, 3, 5, 15, 7, 59, 83, 221, 77, 357, 281, 2689, 5629, 5837, 1701, 30811, 0};
static int joe_kuo_d6_initial_number05613[] = {1, 3, 3, 11, 17, 1, 43, 95, 473, 981, 1487, 1337, 905, 3307, 22357, 181, 0};
static int joe_kuo_d6_initial_number05614[] = {1, 1, 3, 7, 1, 27, 9, 3, 489, 1, 1265, 2463, 539, 12769, 825, 6149, 0};
static int joe_kuo_d6_initial_number05615[] = {1, 3, 3, 3, 11, 27, 81, 237, 411, 241, 1613, 931, 6397, 4325, 29651, 49003, 0};
static int joe_kuo_d6_initial_number05616[] = {1, 3, 3, 13, 1, 19, 55, 73, 47, 203, 1661, 1245, 6847, 2457, 25427, 33069, 0};
static int joe_kuo_d6_initial_number05617[] = {1, 3, 7, 3, 7, 47, 11, 165, 391, 457, 301, 1213, 1913, 14531, 7847, 14811, 0};
static int joe_kuo_d6_initial_number05618[] = {1, 3, 1, 9, 1, 9, 57, 203, 15, 733, 1131, 2751, 5869, 3165, 21497, 28881, 0};
static int joe_kuo_d6_initial_number05619[] = {1, 3, 1, 5, 9, 7, 29, 85, 71, 571, 469, 2395, 2819, 8443, 2281, 50489, 0};
static int joe_kuo_d6_initial_number05620[] = {1, 3, 5, 11, 13, 63, 47, 47, 349, 21, 861, 2217, 2945, 6967, 6605, 16459, 0};
static int joe_kuo_d6_initial_number05621[] = {1, 1, 7, 5, 13, 3, 41, 53, 409, 289, 1225, 2965, 5283, 1785, 14443, 51755, 0};
static int joe_kuo_d6_initial_number05622[] = {1, 3, 7, 13, 19, 1, 29, 191, 119, 37, 697, 1909, 481, 14157, 13425, 60581, 0};
static int joe_kuo_d6_initial_number05623[] = {1, 3, 1, 13, 1, 15, 105, 79, 505, 681, 1741, 3683, 5775, 7479, 11387, 1321, 0};
static int joe_kuo_d6_initial_number05624[] = {1, 1, 1, 11, 9, 35, 77, 73, 351, 217, 2029, 2845, 5143, 5677, 15465, 33123, 0};
static int joe_kuo_d6_initial_number05625[] = {1, 1, 3, 3, 19, 49, 63, 109, 335, 743, 741, 1673, 3311, 3139, 25197, 13793, 0};
static int joe_kuo_d6_initial_number05626[] = {1, 3, 1, 3, 29, 63, 79, 1, 493, 13, 1487, 4015, 6983, 1433, 26023, 55591, 0};
static int joe_kuo_d6_initial_number05627[] = {1, 3, 3, 11, 1, 25, 57, 207, 309, 201, 1513, 1749, 3785, 9217, 11531, 40597, 0};
static int joe_kuo_d6_initial_number05628[] = {1, 3, 7, 13, 3, 23, 69, 253, 311, 773, 807, 1063, 745, 4843, 25221, 55885, 0};
static int joe_kuo_d6_initial_number05629[] = {1, 1, 3, 11, 29, 47, 67, 183, 11, 259, 5, 1935, 2295, 8105, 19139, 11707, 0};
static int joe_kuo_d6_initial_number05630[] = {1, 1, 3, 3, 23, 3, 53, 165, 255, 501, 1547, 3649, 5631, 13307, 8869, 5595, 0};
static int joe_kuo_d6_initial_number05631[] = {1, 1, 3, 5, 7, 29, 37, 223, 289, 925, 959, 309, 1479, 3141, 18661, 52123, 0};
static int joe_kuo_d6_initial_number05632[] = {1, 3, 1, 1, 7, 59, 101, 219, 91, 793, 1103, 1485, 7547, 12889, 19097, 15613, 0};
static int joe_kuo_d6_initial_number05633[] = {1, 1, 5, 15, 1, 17, 79, 83, 131, 683, 1611, 1635, 5405, 9621, 29489, 4801, 0};
static int joe_kuo_d6_initial_number05634[] = {1, 1, 5, 7, 31, 63, 59, 125, 401, 261, 1445, 33, 187, 12913, 8639, 48413, 0};
static int joe_kuo_d6_initial_number05635[] = {1, 3, 3, 13, 27, 37, 27, 99, 379, 851, 1311, 4051, 5483, 13935, 29679, 30905, 0};
static int joe_kuo_d6_initial_number05636[] = {1, 1, 3, 1, 7, 57, 79, 23, 97, 561, 1083, 2327, 1545, 5387, 12119, 29717, 0};
static int joe_kuo_d6_initial_number05637[] = {1, 1, 7, 7, 9, 41, 63, 165, 315, 247, 89, 2055, 7399, 1399, 2057, 39851, 0};
static int joe_kuo_d6_initial_number05638[] = {1, 1, 1, 15, 9, 23, 7, 15, 457, 669, 661, 3269, 915, 3475, 15845, 59769, 0};
static int joe_kuo_d6_initial_number05639[] = {1, 3, 7, 15, 17, 53, 83, 5, 457, 103, 1297, 2413, 1095, 7711, 27935, 56357, 0};
static int joe_kuo_d6_initial_number05640[] = {1, 1, 3, 5, 17, 3, 81, 23, 165, 341, 781, 3583, 1751, 6763, 13937, 35331, 0};
static int joe_kuo_d6_initial_number05641[] = {1, 1, 5, 11, 31, 21, 7, 63, 369, 867, 573, 45, 2781, 4507, 21553, 51933, 0};
static int joe_kuo_d6_initial_number05642[] = {1, 1, 5, 15, 1, 37, 85, 133, 489, 733, 1471, 2089, 979, 7723, 7339, 59595, 0};
static int joe_kuo_d6_initial_number05643[] = {1, 1, 1, 1, 7, 3, 3, 77, 137, 1009, 481, 1343, 397, 15865, 21701, 37509, 0};
static int joe_kuo_d6_initial_number05644[] = {1, 3, 7, 5, 17, 57, 19, 245, 249, 289, 1847, 3057, 4905, 5905, 32459, 41305, 0};
static int joe_kuo_d6_initial_number05645[] = {1, 1, 5, 1, 23, 23, 1, 177, 115, 337, 983, 421, 3135, 6319, 27109, 59641, 0};
static int joe_kuo_d6_initial_number05646[] = {1, 3, 1, 5, 25, 1, 63, 73, 61, 967, 1567, 2645, 7347, 11877, 28777, 38507, 0};
static int joe_kuo_d6_initial_number05647[] = {1, 1, 3, 9, 5, 41, 39, 101, 339, 337, 1079, 3861, 5049, 5601, 14377, 34093, 0};
static int joe_kuo_d6_initial_number05648[] = {1, 3, 7, 7, 3, 47, 95, 157, 167, 1011, 1117, 3669, 7993, 11735, 8505, 64713, 0};
static int joe_kuo_d6_initial_number05649[] = {1, 3, 1, 9, 3, 33, 11, 33, 65, 329, 401, 2659, 2851, 3903, 29791, 41613, 0};
static int joe_kuo_d6_initial_number05650[] = {1, 1, 1, 15, 15, 17, 9, 69, 359, 41, 1475, 1919, 5829, 2189, 21295, 33255, 0};
static int joe_kuo_d6_initial_number05651[] = {1, 3, 1, 3, 9, 23, 73, 247, 399, 775, 419, 3033, 865, 12595, 16345, 15079, 0};
static int joe_kuo_d6_initial_number05652[] = {1, 3, 1, 5, 1, 17, 33, 23, 419, 585, 673, 929, 6955, 10247, 12647, 29107, 0};
static int joe_kuo_d6_initial_number05653[] = {1, 3, 3, 13, 9, 33, 11, 13, 127, 529, 1219, 2401, 6459, 14745, 5123, 53023, 0};
static int joe_kuo_d6_initial_number05654[] = {1, 3, 5, 11, 23, 11, 5, 19, 281, 121, 1671, 2171, 4545, 10691, 24875, 28849, 0};
static int joe_kuo_d6_initial_number05655[] = {1, 3, 1, 3, 13, 25, 85, 131, 127, 977, 1599, 3319, 3107, 3185, 4879, 3455, 0};
static int joe_kuo_d6_initial_number05656[] = {1, 1, 5, 1, 3, 13, 77, 15, 133, 185, 1319, 727, 2181, 12175, 28017, 28023, 0};
static int joe_kuo_d6_initial_number05657[] = {1, 3, 7, 5, 29, 51, 113, 203, 331, 847, 1, 3445, 3669, 7711, 13647, 58651, 0};
static int joe_kuo_d6_initial_number05658[] = {1, 3, 1, 3, 31, 27, 35, 199, 491, 839, 1275, 3385, 4743, 821, 26259, 11345, 0};
static int joe_kuo_d6_initial_number05659[] = {1, 1, 7, 9, 21, 47, 9, 67, 119, 985, 127, 1987, 5451, 6403, 26183, 8349, 0};
static int joe_kuo_d6_initial_number05660[] = {1, 3, 5, 1, 19, 3, 91, 217, 301, 595, 1789, 735, 4993, 229, 18033, 59625, 0};
static int joe_kuo_d6_initial_number05661[] = {1, 3, 3, 3, 11, 25, 103, 211, 117, 9, 773, 1521, 2265, 8277, 23179, 22433, 0};
static int joe_kuo_d6_initial_number05662[] = {1, 1, 7, 9, 3, 27, 63, 255, 175, 699, 293, 2409, 3155, 285, 8663, 53503, 0};
static int joe_kuo_d6_initial_number05663[] = {1, 1, 5, 7, 27, 23, 63, 213, 323, 697, 1541, 3497, 2985, 12389, 11155, 26217, 0};
static int joe_kuo_d6_initial_number05664[] = {1, 3, 1, 3, 31, 7, 47, 207, 185, 873, 1063, 1055, 205, 12469, 23505, 56245, 0};
static int joe_kuo_d6_initial_number05665[] = {1, 3, 7, 13, 31, 17, 47, 95, 91, 483, 1997, 3273, 445, 2601, 15219, 10997, 0};
static int joe_kuo_d6_initial_number05666[] = {1, 3, 3, 5, 29, 45, 29, 83, 457, 823, 1395, 1411, 1879, 9409, 11609, 32001, 0};
static int joe_kuo_d6_initial_number05667[] = {1, 3, 5, 11, 21, 11, 43, 73, 159, 137, 29, 1957, 815, 5077, 16127, 42199, 0};
static int joe_kuo_d6_initial_number05668[] = {1, 3, 5, 13, 9, 59, 47, 215, 293, 807, 309, 1951, 2285, 9287, 1019, 49501, 0};
static int joe_kuo_d6_initial_number05669[] = {1, 1, 7, 13, 31, 7, 95, 189, 233, 363, 1039, 1675, 1715, 9049, 8537, 31051, 0};
static int joe_kuo_d6_initial_number05670[] = {1, 3, 7, 9, 23, 35, 125, 251, 107, 401, 1113, 3585, 6331, 2363, 27889, 28877, 0};
static int joe_kuo_d6_initial_number05671[] = {1, 1, 7, 13, 9, 1, 13, 69, 257, 369, 547, 1595, 1823, 9553, 25653, 31181, 0};
static int joe_kuo_d6_initial_number05672[] = {1, 1, 7, 11, 9, 43, 3, 93, 69, 1019, 1935, 3297, 47, 7101, 1037, 63473, 0};
static int joe_kuo_d6_initial_number05673[] = {1, 1, 7, 5, 21, 9, 97, 105, 405, 893, 1673, 3783, 2965, 7329, 4549, 25433, 0};
static int joe_kuo_d6_initial_number05674[] = {1, 1, 5, 13, 5, 17, 31, 123, 415, 173, 1333, 2245, 1557, 16011, 28321, 4039, 0};
static int joe_kuo_d6_initial_number05675[] = {1, 1, 5, 9, 15, 3, 27, 79, 511, 39, 945, 49, 3231, 9199, 21327, 11183, 0};
static int joe_kuo_d6_initial_number05676[] = {1, 3, 3, 9, 3, 15, 115, 141, 387, 341, 953, 399, 6109, 12037, 21079, 26745, 0};
static int joe_kuo_d6_initial_number05677[] = {1, 3, 3, 1, 5, 5, 31, 195, 477, 755, 687, 3811, 805, 679, 20687, 46299, 0};
static int joe_kuo_d6_initial_number05678[] = {1, 1, 7, 15, 1, 31, 67, 159, 205, 141, 1667, 3077, 451, 13161, 16211, 6887, 0};
static int joe_kuo_d6_initial_number05679[] = {1, 3, 3, 1, 7, 43, 87, 5, 49, 205, 231, 3957, 2947, 13199, 15743, 4681, 0};
static int joe_kuo_d6_initial_number05680[] = {1, 3, 3, 15, 25, 37, 95, 11, 439, 553, 59, 1241, 7407, 13467, 22403, 44441, 0};
static int joe_kuo_d6_initial_number05681[] = {1, 1, 1, 3, 21, 3, 127, 239, 491, 139, 1411, 3417, 4247, 6247, 13809, 31609, 0};
static int joe_kuo_d6_initial_number05682[] = {1, 1, 5, 1, 9, 13, 5, 155, 109, 593, 119, 4091, 1911, 8301, 4239, 50081, 0};
static int joe_kuo_d6_initial_number05683[] = {1, 3, 5, 13, 27, 3, 99, 225, 253, 169, 801, 3741, 1905, 12073, 31831, 17997, 0};
static int joe_kuo_d6_initial_number05684[] = {1, 3, 7, 15, 9, 23, 93, 171, 453, 983, 1657, 1133, 6381, 5229, 32303, 17439, 0};
static int joe_kuo_d6_initial_number05685[] = {1, 1, 7, 11, 7, 5, 125, 141, 63, 763, 1293, 1007, 4579, 1479, 11977, 59261, 0};
static int joe_kuo_d6_initial_number05686[] = {1, 3, 1, 7, 1, 15, 49, 41, 367, 639, 1933, 401, 2335, 2441, 13653, 55555, 0};
static int joe_kuo_d6_initial_number05687[] = {1, 3, 1, 7, 15, 23, 5, 213, 45, 721, 543, 2133, 4525, 9719, 28053, 54075, 0};
static int joe_kuo_d6_initial_number05688[] = {1, 3, 7, 3, 11, 7, 23, 35, 169, 829, 1957, 2423, 3583, 4951, 28957, 29753, 0};
static int joe_kuo_d6_initial_number05689[] = {1, 1, 3, 3, 1, 5, 19, 235, 175, 969, 229, 2335, 7215, 10195, 7487, 64191, 0};
static int joe_kuo_d6_initial_number05690[] = {1, 1, 7, 3, 27, 1, 73, 49, 445, 863, 69, 3555, 993, 9553, 31941, 29901, 0};
static int joe_kuo_d6_initial_number05691[] = {1, 3, 5, 11, 9, 25, 59, 177, 23, 997, 1041, 1135, 3879, 767, 2263, 51267, 0};
static int joe_kuo_d6_initial_number05692[] = {1, 1, 7, 3, 1, 63, 49, 51, 237, 569, 1293, 1143, 3125, 16315, 17009, 24821, 0};
static int joe_kuo_d6_initial_number05693[] = {1, 3, 3, 15, 11, 17, 121, 25, 349, 833, 557, 1975, 5405, 15189, 31243, 53541, 0};
static int joe_kuo_d6_initial_number05694[] = {1, 3, 7, 9, 11, 15, 39, 15, 75, 87, 55, 2069, 3291, 507, 16925, 57751, 0};
static int joe_kuo_d6_initial_number05695[] = {1, 1, 3, 15, 1, 21, 61, 139, 357, 931, 647, 947, 2291, 15557, 6739, 5881, 0};
static int joe_kuo_d6_initial_number05696[] = {1, 3, 1, 9, 1, 47, 73, 59, 115, 497, 733, 1777, 905, 16181, 4351, 7345, 0};
static int joe_kuo_d6_initial_number05697[] = {1, 3, 3, 7, 5, 21, 67, 113, 71, 743, 757, 1851, 7899, 10315, 15437, 61803, 0};
static int joe_kuo_d6_initial_number05698[] = {1, 3, 7, 1, 9, 23, 77, 131, 395, 767, 1229, 2629, 5731, 11907, 32217, 18473, 0};
static int joe_kuo_d6_initial_number05699[] = {1, 3, 5, 15, 1, 23, 123, 207, 291, 565, 1211, 501, 2111, 11381, 5171, 54841, 0};
static int joe_kuo_d6_initial_number05700[] = {1, 1, 1, 15, 21, 13, 3, 175, 405, 109, 1353, 2495, 7619, 14971, 28179, 34737, 0};
static int joe_kuo_d6_initial_number05701[] = {1, 3, 5, 3, 17, 25, 53, 71, 229, 729, 1953, 3119, 7747, 1551, 23417, 35563, 0};
static int joe_kuo_d6_initial_number05702[] = {1, 1, 7, 7, 11, 31, 81, 43, 149, 537, 1253, 2759, 431, 4813, 8375, 46329, 0};
static int joe_kuo_d6_initial_number05703[] = {1, 1, 1, 5, 11, 27, 61, 199, 239, 889, 723, 2353, 5663, 7385, 28165, 14675, 0};
static int joe_kuo_d6_initial_number05704[] = {1, 3, 1, 7, 3, 3, 83, 247, 247, 57, 579, 1163, 2615, 4051, 2809, 46413, 0};
static int joe_kuo_d6_initial_number05705[] = {1, 1, 3, 11, 13, 47, 11, 235, 475, 35, 843, 2329, 3519, 8899, 14533, 24889, 0};
static int joe_kuo_d6_initial_number05706[] = {1, 3, 1, 1, 7, 31, 15, 101, 327, 499, 471, 1001, 339, 11863, 24787, 47191, 0};
static int joe_kuo_d6_initial_number05707[] = {1, 1, 7, 1, 3, 55, 93, 43, 11, 65, 289, 1249, 5325, 13867, 29841, 34333, 0};
static int joe_kuo_d6_initial_number05708[] = {1, 3, 3, 1, 25, 61, 87, 113, 115, 265, 1007, 1129, 7633, 6109, 5733, 22649, 0};
static int joe_kuo_d6_initial_number05709[] = {1, 3, 1, 11, 31, 59, 127, 83, 33, 419, 1037, 3777, 6383, 2711, 2113, 17233, 0};
static int joe_kuo_d6_initial_number05710[] = {1, 1, 5, 13, 11, 17, 73, 41, 257, 223, 359, 3821, 4617, 1943, 11331, 40153, 0};
static int joe_kuo_d6_initial_number05711[] = {1, 1, 1, 1, 9, 25, 43, 179, 17, 1021, 1323, 761, 5861, 11547, 26017, 5165, 0};
static int joe_kuo_d6_initial_number05712[] = {1, 3, 5, 3, 29, 21, 53, 111, 213, 717, 1101, 3215, 3021, 16343, 23387, 33439, 0};
static int joe_kuo_d6_initial_number05713[] = {1, 3, 5, 13, 29, 11, 21, 89, 107, 111, 1121, 2785, 3493, 9873, 13, 40863, 0};
static int joe_kuo_d6_initial_number05714[] = {1, 1, 5, 13, 15, 15, 111, 219, 59, 43, 333, 3581, 1311, 2799, 23987, 21637, 0};
static int joe_kuo_d6_initial_number05715[] = {1, 3, 1, 11, 21, 57, 115, 247, 499, 525, 1629, 3679, 2109, 6607, 27435, 1745, 71201, 0};
static int joe_kuo_d6_initial_number05716[] = {1, 3, 3, 3, 31, 17, 113, 165, 189, 361, 103, 1775, 3001, 3865, 30591, 2873, 17129, 0};
static int joe_kuo_d6_initial_number05717[] = {1, 1, 5, 5, 15, 47, 47, 85, 247, 471, 713, 3571, 2407, 9811, 8187, 32133, 8541, 0};
static int joe_kuo_d6_initial_number05718[] = {1, 3, 3, 1, 15, 1, 59, 151, 469, 351, 671, 2925, 7207, 5061, 28691, 4363, 50767, 0};
static int joe_kuo_d6_initial_number05719[] = {1, 1, 5, 7, 11, 35, 67, 45, 193, 3, 627, 3333, 6497, 12307, 28807, 13997, 108645, 0};
static int joe_kuo_d6_initial_number05720[] = {1, 3, 1, 1, 17, 63, 125, 185, 485, 759, 717, 1993, 6707, 3993, 2181, 8173, 18057, 0};
static int joe_kuo_d6_initial_number05721[] = {1, 1, 3, 13, 7, 15, 113, 207, 103, 191, 1895, 2595, 3873, 12021, 19259, 12553, 119119, 0};
static int joe_kuo_d6_initial_number05722[] = {1, 3, 7, 1, 17, 11, 101, 209, 315, 9, 901, 2303, 7623, 7459, 26391, 45143, 5753, 0};
static int joe_kuo_d6_initial_number05723[] = {1, 1, 5, 15, 1, 5, 71, 155, 167, 89, 145, 3483, 2385, 15205, 9193, 20637, 58473, 0};
static int joe_kuo_d6_initial_number05724[] = {1, 1, 5, 7, 25, 55, 57, 51, 333, 299, 1721, 1667, 6513, 10191, 29405, 21923, 76593, 0};
static int joe_kuo_d6_initial_number05725[] = {1, 1, 5, 1, 7, 37, 107, 91, 241, 137, 627, 2749, 5573, 11243, 26197, 4545, 105599, 0};
static int joe_kuo_d6_initial_number05726[] = {1, 3, 1, 5, 25, 37, 73, 61, 57, 249, 1953, 1385, 6479, 3701, 10693, 617, 62535, 0};
static int joe_kuo_d6_initial_number05727[] = {1, 1, 1, 15, 5, 63, 41, 151, 395, 681, 227, 3027, 8123, 15091, 15475, 35671, 21129, 0};
static int joe_kuo_d6_initial_number05728[] = {1, 3, 5, 11, 29, 21, 15, 233, 103, 463, 1829, 2257, 1717, 2249, 9599, 5097, 55705, 0};
static int joe_kuo_d6_initial_number05729[] = {1, 3, 5, 1, 29, 3, 35, 151, 193, 105, 1107, 827, 7169, 1843, 15225, 29025, 43165, 0};
static int joe_kuo_d6_initial_number05730[] = {1, 1, 7, 15, 17, 51, 93, 199, 205, 41, 113, 1081, 1571, 11471, 11057, 16149, 66905, 0};
static int joe_kuo_d6_initial_number05731[] = {1, 1, 3, 11, 5, 25, 107, 195, 51, 675, 1683, 3739, 1653, 611, 23249, 53157, 127785, 0};
static int joe_kuo_d6_initial_number05732[] = {1, 1, 7, 5, 7, 3, 25, 145, 453, 735, 441, 77, 8171, 9281, 22749, 36973, 106237, 0};
static int joe_kuo_d6_initial_number05733[] = {1, 1, 3, 13, 13, 5, 95, 33, 223, 369, 453, 2031, 3531, 6931, 8977, 54109, 115487, 0};
static int joe_kuo_d6_initial_number05734[] = {1, 1, 7, 7, 1, 61, 33, 183, 245, 623, 529, 1831, 1867, 2845, 8311, 10143, 67897, 0};
static int joe_kuo_d6_initial_number05735[] = {1, 3, 7, 11, 27, 23, 93, 9, 61, 451, 67, 1695, 4227, 2415, 19249, 44765, 24611, 0};
static int joe_kuo_d6_initial_number05736[] = {1, 3, 3, 11, 29, 57, 65, 117, 349, 149, 363, 1095, 4989, 3071, 17519, 18079, 7277, 0};
static int joe_kuo_d6_initial_number05737[] = {1, 3, 5, 9, 1, 7, 59, 87, 307, 111, 1291, 789, 7361, 6477, 11229, 36785, 33303, 0};
static int joe_kuo_d6_initial_number05738[] = {1, 3, 5, 1, 19, 47, 53, 81, 127, 849, 1479, 1459, 1889, 15087, 22115, 20587, 121005, 0};
static int joe_kuo_d6_initial_number05739[] = {1, 1, 7, 15, 31, 31, 71, 55, 253, 927, 277, 2087, 1313, 3721, 22729, 34709, 9821, 0};
static int joe_kuo_d6_initial_number05740[] = {1, 3, 5, 13, 13, 63, 73, 41, 165, 315, 1907, 2005, 691, 725, 22685, 8673, 76011, 0};
static int joe_kuo_d6_initial_number05741[] = {1, 1, 5, 9, 23, 61, 47, 167, 279, 683, 683, 1261, 4037, 15251, 9421, 45359, 38001, 0};
static int joe_kuo_d6_initial_number05742[] = {1, 1, 7, 3, 17, 33, 69, 139, 235, 709, 1475, 2483, 7559, 8581, 23965, 31153, 5097, 0};
static int joe_kuo_d6_initial_number05743[] = {1, 1, 7, 15, 23, 61, 43, 5, 433, 531, 761, 2749, 2881, 5225, 13491, 16479, 50203, 0};
static int joe_kuo_d6_initial_number05744[] = {1, 1, 3, 9, 29, 7, 9, 23, 339, 315, 1723, 779, 2983, 6571, 16025, 63055, 111103, 0};
static int joe_kuo_d6_initial_number05745[] = {1, 1, 7, 13, 23, 55, 71, 121, 297, 193, 41, 3165, 4419, 5853, 28127, 56151, 16597, 0};
static int joe_kuo_d6_initial_number05746[] = {1, 1, 5, 7, 7, 23, 93, 11, 261, 297, 1769, 1239, 2579, 531, 4423, 7891, 21729, 0};
static int joe_kuo_d6_initial_number05747[] = {1, 3, 5, 1, 13, 35, 83, 85, 125, 887, 161, 3311, 7261, 9557, 28975, 28643, 21479, 0};
static int joe_kuo_d6_initial_number05748[] = {1, 3, 5, 3, 27, 5, 47, 175, 287, 867, 141, 3079, 7583, 4997, 18271, 24097, 96319, 0};
static int joe_kuo_d6_initial_number05749[] = {1, 3, 5, 1, 21, 51, 47, 67, 211, 281, 1861, 1169, 6403, 4229, 3995, 9921, 41515, 0};
static int joe_kuo_d6_initial_number05750[] = {1, 3, 3, 11, 23, 23, 81, 55, 441, 211, 169, 3197, 7213, 7205, 15, 11771, 129091, 0};
static int joe_kuo_d6_initial_number05751[] = {1, 3, 7, 3, 23, 39, 23, 163, 253, 1005, 1775, 3393, 7659, 8065, 30021, 61065, 35171, 0};
static int joe_kuo_d6_initial_number05752[] = {1, 3, 1, 1, 29, 29, 39, 143, 191, 711, 1077, 13, 4137, 15425, 11139, 1269, 71915, 0};
static int joe_kuo_d6_initial_number05753[] = {1, 3, 3, 5, 11, 41, 101, 127, 301, 335, 45, 2065, 5835, 7801, 2639, 5735, 63445, 0};
static int joe_kuo_d6_initial_number05754[] = {1, 3, 5, 9, 3, 39, 51, 53, 489, 663, 951, 3931, 3075, 753, 22179, 20573, 10775, 0};
static int joe_kuo_d6_initial_number05755[] = {1, 3, 3, 15, 13, 31, 1, 237, 79, 587, 395, 591, 607, 13105, 21301, 26829, 112181, 0};
static int joe_kuo_d6_initial_number05756[] = {1, 1, 7, 7, 5, 55, 31, 117, 247, 229, 247, 307, 3821, 6483, 31317, 22975, 40535, 0};
static int joe_kuo_d6_initial_number05757[] = {1, 3, 7, 15, 15, 59, 101, 17, 437, 373, 1727, 471, 2783, 7825, 24555, 58765, 5097, 0};
static int joe_kuo_d6_initial_number05758[] = {1, 1, 3, 9, 31, 27, 71, 147, 71, 871, 793, 2363, 3213, 13383, 29801, 53187, 70021, 0};
static int joe_kuo_d6_initial_number05759[] = {1, 3, 1, 1, 19, 47, 121, 61, 303, 565, 1371, 3703, 2201, 6835, 26041, 56039, 80227, 0};
static int joe_kuo_d6_initial_number05760[] = {1, 1, 5, 5, 3, 45, 91, 61, 257, 947, 1449, 4031, 4925, 8627, 11909, 9529, 3429, 0};
static int joe_kuo_d6_initial_number05761[] = {1, 1, 1, 7, 9, 63, 69, 233, 141, 361, 1443, 2157, 2877, 643, 2779, 8109, 126911, 0};
static int joe_kuo_d6_initial_number05762[] = {1, 1, 5, 1, 5, 3, 67, 157, 21, 1, 361, 35, 1475, 12877, 22169, 6653, 85005, 0};
static int joe_kuo_d6_initial_number05763[] = {1, 1, 7, 9, 25, 1, 7, 175, 47, 963, 405, 3955, 3905, 8429, 8483, 62037, 11323, 0};
static int joe_kuo_d6_initial_number05764[] = {1, 1, 5, 11, 29, 23, 77, 211, 319, 745, 1935, 2429, 1687, 2173, 1571, 19457, 117777, 0};
static int joe_kuo_d6_initial_number05765[] = {1, 1, 7, 5, 15, 57, 121, 189, 303, 79, 527, 1801, 71, 9857, 14197, 59007, 75341, 0};
static int joe_kuo_d6_initial_number05766[] = {1, 3, 3, 5, 25, 3, 19, 141, 155, 157, 287, 769, 5789, 8443, 31823, 1019, 79111, 0};
static int joe_kuo_d6_initial_number05767[] = {1, 1, 5, 11, 27, 27, 117, 141, 355, 1023, 869, 995, 6311, 6573, 11721, 1565, 35517, 0};
static int joe_kuo_d6_initial_number05768[] = {1, 1, 1, 9, 1, 33, 107, 51, 41, 889, 1191, 1055, 503, 14779, 6641, 58117, 74157, 0};
static int joe_kuo_d6_initial_number05769[] = {1, 1, 7, 5, 13, 39, 39, 33, 293, 75, 963, 3379, 1847, 12371, 9005, 38107, 69753, 0};
static int joe_kuo_d6_initial_number05770[] = {1, 1, 5, 5, 7, 37, 19, 241, 427, 635, 1711, 3835, 773, 10525, 17207, 1675, 127255, 0};
static int joe_kuo_d6_initial_number05771[] = {1, 1, 3, 7, 17, 19, 11, 113, 191, 947, 1133, 3173, 213, 10125, 1373, 56797, 111011, 0};
static int joe_kuo_d6_initial_number05772[] = {1, 3, 1, 1, 29, 45, 65, 237, 223, 695, 697, 3197, 6887, 8079, 22099, 12079, 54847, 0};
static int joe_kuo_d6_initial_number05773[] = {1, 3, 3, 7, 5, 47, 19, 215, 341, 863, 1879, 571, 7113, 2465, 23407, 52555, 44375, 0};
static int joe_kuo_d6_initial_number05774[] = {1, 3, 5, 11, 25, 31, 109, 73, 429, 553, 1905, 1753, 6733, 4433, 13785, 32041, 27115, 0};
static int joe_kuo_d6_initial_number05775[] = {1, 1, 1, 3, 27, 5, 97, 47, 343, 977, 1241, 721, 3355, 3559, 28349, 56389, 63103, 0};
static int joe_kuo_d6_initial_number05776[] = {1, 3, 3, 9, 21, 53, 57, 211, 73, 155, 1855, 715, 3179, 5963, 10061, 35141, 63131, 0};
static int joe_kuo_d6_initial_number05777[] = {1, 3, 1, 15, 21, 25, 51, 73, 31, 25, 1385, 637, 6585, 49, 2105, 6829, 9353, 0};
static int joe_kuo_d6_initial_number05778[] = {1, 1, 7, 5, 11, 55, 31, 69, 145, 637, 1131, 2175, 3547, 13031, 2131, 12361, 74737, 0};
static int joe_kuo_d6_initial_number05779[] = {1, 3, 3, 5, 31, 7, 119, 119, 309, 925, 895, 3813, 1131, 4765, 17865, 48707, 113577, 0};
static int joe_kuo_d6_initial_number05780[] = {1, 3, 3, 9, 13, 33, 127, 177, 323, 727, 1881, 775, 7329, 11881, 28309, 987, 116093, 0};
static int joe_kuo_d6_initial_number05781[] = {1, 1, 3, 5, 31, 55, 39, 41, 511, 157, 1655, 2991, 3633, 8521, 27049, 18771, 54015, 0};
static int joe_kuo_d6_initial_number05782[] = {1, 3, 5, 13, 11, 45, 113, 185, 375, 661, 1331, 4013, 5521, 1037, 23365, 30239, 76957, 0};
static int joe_kuo_d6_initial_number05783[] = {1, 3, 3, 7, 19, 7, 23, 17, 435, 913, 1985, 353, 6049, 7549, 3371, 60867, 41099, 0};
static int joe_kuo_d6_initial_number05784[] = {1, 3, 3, 15, 17, 9, 53, 127, 149, 849, 1181, 2237, 1345, 539, 19715, 26277, 125445, 0};
static int joe_kuo_d6_initial_number05785[] = {1, 1, 1, 3, 1, 9, 67, 79, 79, 795, 1793, 3167, 5917, 5323, 22043, 22007, 3917, 0};
static int joe_kuo_d6_initial_number05786[] = {1, 3, 5, 9, 15, 19, 59, 37, 141, 145, 413, 1095, 7709, 669, 27061, 40171, 101499, 0};
static int joe_kuo_d6_initial_number05787[] = {1, 3, 1, 1, 9, 49, 109, 7, 119, 861, 875, 1049, 4125, 6113, 15699, 6105, 48799, 0};
static int joe_kuo_d6_initial_number05788[] = {1, 1, 3, 9, 11, 29, 43, 175, 371, 357, 1181, 3933, 43, 4559, 10333, 23603, 83095, 0};
static int joe_kuo_d6_initial_number05789[] = {1, 3, 3, 9, 9, 7, 57, 61, 409, 143, 591, 761, 4107, 8117, 1051, 4471, 91771, 0};
static int joe_kuo_d6_initial_number05790[] = {1, 1, 3, 11, 3, 53, 119, 21, 213, 219, 51, 3491, 7143, 937, 24693, 3211, 99463, 0};
static int joe_kuo_d6_initial_number05791[] = {1, 1, 3, 3, 1, 47, 53, 153, 211, 523, 1637, 3351, 3753, 12489, 31825, 27613, 96431, 0};
static int joe_kuo_d6_initial_number05792[] = {1, 1, 5, 15, 23, 57, 81, 231, 147, 9, 1043, 3157, 1463, 4835, 22435, 57407, 59615, 0};
static int joe_kuo_d6_initial_number05793[] = {1, 3, 3, 13, 15, 63, 111, 5, 449, 957, 1175, 2887, 7741, 8975, 28775, 4067, 69283, 0};
static int joe_kuo_d6_initial_number05794[] = {1, 3, 1, 1, 5, 61, 109, 211, 349, 179, 951, 153, 3147, 7555, 27037, 59829, 16077, 0};
static int joe_kuo_d6_initial_number05795[] = {1, 3, 3, 7, 15, 33, 53, 61, 309, 991, 227, 3437, 3983, 14559, 13065, 46387, 49105, 0};
static int joe_kuo_d6_initial_number05796[] = {1, 3, 5, 3, 25, 23, 97, 139, 315, 601, 1179, 1083, 6799, 1813, 15511, 60433, 65641, 0};
static int joe_kuo_d6_initial_number05797[] = {1, 1, 7, 1, 11, 43, 87, 87, 173, 161, 91, 3011, 1869, 2313, 13691, 3509, 39433, 0};
static int joe_kuo_d6_initial_number05798[] = {1, 3, 5, 7, 15, 5, 39, 251, 269, 819, 815, 2283, 5635, 6953, 27017, 65143, 45281, 0};
static int joe_kuo_d6_initial_number05799[] = {1, 3, 7, 9, 1, 37, 9, 57, 467, 37, 1743, 4031, 3751, 8105, 23789, 46847, 21911, 0};
static int joe_kuo_d6_initial_number05800[] = {1, 1, 7, 1, 23, 47, 63, 99, 59, 951, 1837, 2829, 161, 857, 4045, 9945, 53487, 0};
static int joe_kuo_d6_initial_number05801[] = {1, 3, 7, 7, 11, 47, 43, 99, 279, 945, 1189, 2091, 4597, 183, 15527, 7151, 112403, 0};
static int joe_kuo_d6_initial_number05802[] = {1, 3, 3, 15, 9, 53, 63, 135, 119, 95, 131, 2461, 157, 10631, 20847, 51699, 58865, 0};
static int joe_kuo_d6_initial_number05803[] = {1, 1, 3, 1, 25, 3, 115, 29, 303, 361, 1529, 3993, 5899, 11501, 4463, 47121, 75333, 0};
static int joe_kuo_d6_initial_number05804[] = {1, 3, 1, 15, 9, 39, 31, 199, 305, 279, 15, 611, 561, 6593, 3189, 1863, 61875, 0};
static int joe_kuo_d6_initial_number05805[] = {1, 3, 5, 15, 5, 49, 87, 17, 87, 5, 1179, 1351, 7647, 7529, 15901, 30351, 31959, 0};
static int joe_kuo_d6_initial_number05806[] = {1, 3, 3, 9, 31, 57, 127, 239, 349, 773, 547, 2649, 1309, 8071, 10741, 57645, 14423, 0};
static int joe_kuo_d6_initial_number05807[] = {1, 1, 5, 9, 5, 15, 59, 185, 315, 411, 1425, 3905, 853, 12393, 21, 15195, 114291, 0};
static int joe_kuo_d6_initial_number05808[] = {1, 3, 1, 5, 29, 47, 19, 203, 319, 673, 1169, 2413, 5295, 6251, 19883, 2725, 28937, 0};
static int joe_kuo_d6_initial_number05809[] = {1, 3, 1, 5, 21, 55, 19, 185, 103, 827, 117, 341, 3315, 5625, 345, 63845, 49081, 0};
static int joe_kuo_d6_initial_number05810[] = {1, 1, 7, 9, 27, 51, 105, 15, 243, 735, 1221, 1641, 293, 14423, 5363, 60873, 66223, 0};
static int joe_kuo_d6_initial_number05811[] = {1, 1, 5, 1, 19, 5, 109, 131, 131, 67, 231, 2907, 4389, 5079, 20503, 59045, 33625, 0};
static int joe_kuo_d6_initial_number05812[] = {1, 3, 1, 5, 5, 15, 79, 67, 287, 225, 519, 1543, 2389, 671, 7767, 62625, 61639, 0};
static int joe_kuo_d6_initial_number05813[] = {1, 1, 1, 9, 25, 35, 83, 15, 291, 207, 1757, 3691, 5669, 11255, 27939, 57813, 46251, 0};
static int joe_kuo_d6_initial_number05814[] = {1, 3, 1, 1, 29, 3, 83, 109, 323, 179, 1855, 3205, 7665, 16201, 13863, 16347, 98977, 0};
static int joe_kuo_d6_initial_number05815[] = {1, 3, 1, 13, 17, 1, 101, 183, 153, 985, 125, 999, 855, 15897, 19491, 8953, 23277, 0};
static int joe_kuo_d6_initial_number05816[] = {1, 1, 7, 11, 9, 33, 45, 229, 411, 155, 537, 3037, 1785, 11719, 8589, 16617, 47339, 0};
static int joe_kuo_d6_initial_number05817[] = {1, 1, 5, 5, 9, 11, 7, 163, 305, 621, 1647, 2609, 7901, 14421, 23447, 1205, 52681, 0};
static int joe_kuo_d6_initial_number05818[] = {1, 3, 3, 1, 7, 29, 39, 227, 419, 561, 129, 3299, 3123, 4243, 18689, 12335, 71783, 0};
static int joe_kuo_d6_initial_number05819[] = {1, 3, 1, 9, 11, 61, 65, 207, 123, 763, 485, 1943, 3617, 415, 22397, 58597, 128017, 0};
static int joe_kuo_d6_initial_number05820[] = {1, 1, 5, 13, 25, 43, 115, 73, 269, 137, 1765, 705, 1705, 16137, 22751, 60021, 4333, 0};
static int joe_kuo_d6_initial_number05821[] = {1, 1, 5, 13, 3, 57, 9, 141, 75, 695, 597, 3435, 1085, 4905, 19625, 16061, 12111, 0};
static int joe_kuo_d6_initial_number05822[] = {1, 1, 5, 9, 29, 13, 119, 251, 353, 421, 1955, 3503, 2605, 2587, 12503, 46419, 128815, 0};
static int joe_kuo_d6_initial_number05823[] = {1, 3, 5, 7, 7, 29, 67, 25, 37, 327, 1607, 1899, 1691, 5801, 17441, 9755, 24993, 0};
static int joe_kuo_d6_initial_number05824[] = {1, 1, 3, 11, 17, 29, 121, 201, 371, 597, 213, 2361, 6615, 169, 24801, 56175, 129241, 0};
static int joe_kuo_d6_initial_number05825[] = {1, 3, 5, 1, 31, 63, 85, 77, 151, 599, 103, 677, 4431, 12897, 6373, 40349, 100819, 0};
static int joe_kuo_d6_initial_number05826[] = {1, 3, 5, 9, 25, 9, 119, 219, 379, 939, 1907, 945, 5819, 7433, 32519, 56493, 50441, 0};
static int joe_kuo_d6_initial_number05827[] = {1, 1, 3, 9, 13, 1, 63, 189, 135, 839, 1821, 2247, 2547, 965, 6847, 63335, 32921, 0};
static int joe_kuo_d6_initial_number05828[] = {1, 3, 5, 13, 21, 25, 111, 37, 319, 469, 1999, 1637, 8167, 2641, 24615, 63713, 115923, 0};
static int joe_kuo_d6_initial_number05829[] = {1, 3, 5, 9, 9, 27, 1, 63, 275, 223, 1675, 3833, 7377, 9755, 6279, 37161, 108805, 0};
static int joe_kuo_d6_initial_number05830[] = {1, 3, 3, 13, 29, 23, 21, 73, 401, 863, 701, 2527, 4557, 5549, 22493, 6651, 39167, 0};
static int joe_kuo_d6_initial_number05831[] = {1, 1, 3, 15, 25, 21, 97, 25, 83, 925, 2029, 3789, 3241, 7617, 13699, 31123, 124619, 0};
static int joe_kuo_d6_initial_number05832[] = {1, 3, 7, 5, 23, 7, 95, 227, 123, 215, 359, 2099, 4505, 8477, 32665, 18211, 99679, 0};
static int joe_kuo_d6_initial_number05833[] = {1, 3, 1, 9, 11, 57, 75, 17, 105, 175, 831, 1033, 5425, 8419, 16163, 23901, 33889, 0};
static int joe_kuo_d6_initial_number05834[] = {1, 1, 7, 1, 17, 49, 71, 23, 129, 413, 333, 2547, 4627, 14961, 16745, 53649, 73059, 0};
static int joe_kuo_d6_initial_number05835[] = {1, 3, 5, 3, 13, 33, 121, 147, 443, 187, 1949, 319, 8141, 14359, 11203, 53569, 70415, 0};
static int joe_kuo_d6_initial_number05836[] = {1, 3, 1, 11, 15, 1, 23, 29, 509, 985, 1217, 3755, 385, 3697, 24631, 37619, 62435, 0};
static int joe_kuo_d6_initial_number05837[] = {1, 3, 3, 3, 17, 11, 107, 37, 227, 913, 259, 2799, 3249, 2347, 9703, 52741, 101187, 0};
static int joe_kuo_d6_initial_number05838[] = {1, 1, 5, 13, 25, 25, 47, 77, 405, 415, 1947, 1675, 5079, 1333, 10059, 32033, 88975, 0};
static int joe_kuo_d6_initial_number05839[] = {1, 3, 5, 9, 27, 7, 19, 241, 445, 205, 333, 285, 7997, 6339, 29643, 10229, 29965, 0};
static int joe_kuo_d6_initial_number05840[] = {1, 3, 5, 11, 17, 9, 91, 223, 173, 1013, 779, 3967, 781, 5471, 4309, 24795, 99203, 0};
static int joe_kuo_d6_initial_number05841[] = {1, 1, 1, 3, 19, 53, 7, 159, 351, 515, 223, 3375, 1, 4985, 16729, 43333, 85917, 0};
static int joe_kuo_d6_initial_number05842[] = {1, 3, 3, 1, 19, 35, 95, 69, 19, 157, 1177, 579, 7109, 3499, 3219, 26641, 49491, 0};
static int joe_kuo_d6_initial_number05843[] = {1, 3, 3, 5, 25, 21, 125, 5, 39, 857, 615, 2925, 2005, 5503, 25523, 36711, 30939, 0};
static int joe_kuo_d6_initial_number05844[] = {1, 3, 1, 5, 11, 33, 29, 5, 425, 125, 939, 1641, 321, 1023, 12551, 4587, 116617, 0};
static int joe_kuo_d6_initial_number05845[] = {1, 3, 3, 13, 9, 59, 93, 137, 103, 517, 1555, 13, 7965, 13629, 14339, 37425, 65891, 0};
static int joe_kuo_d6_initial_number05846[] = {1, 3, 7, 1, 31, 31, 87, 237, 365, 951, 267, 2019, 5085, 6133, 29371, 50319, 94313, 0};
static int joe_kuo_d6_initial_number05847[] = {1, 3, 5, 7, 17, 19, 23, 225, 501, 189, 1291, 603, 6873, 8633, 11425, 30565, 26355, 0};
static int joe_kuo_d6_initial_number05848[] = {1, 3, 7, 11, 23, 17, 91, 111, 415, 225, 1287, 2081, 4683, 12069, 3627, 32281, 17995, 0};
static int joe_kuo_d6_initial_number05849[] = {1, 1, 5, 15, 25, 59, 75, 203, 179, 405, 1711, 3147, 7483, 5583, 3729, 11765, 61019, 0};
static int joe_kuo_d6_initial_number05850[] = {1, 3, 3, 9, 3, 43, 65, 7, 269, 33, 829, 1789, 967, 13119, 26329, 16937, 18533, 0};
static int joe_kuo_d6_initial_number05851[] = {1, 1, 3, 15, 11, 39, 73, 11, 31, 143, 1913, 1227, 1363, 11831, 28687, 50489, 106373, 0};
static int joe_kuo_d6_initial_number05852[] = {1, 1, 3, 3, 25, 19, 15, 11, 349, 1011, 421, 3193, 3665, 6149, 20729, 6997, 51437, 0};
static int joe_kuo_d6_initial_number05853[] = {1, 3, 5, 9, 13, 63, 73, 55, 417, 223, 1753, 2913, 4809, 3947, 10769, 5751, 93867, 0};
static int joe_kuo_d6_initial_number05854[] = {1, 3, 7, 13, 31, 39, 39, 133, 483, 839, 1137, 3303, 7285, 4309, 24079, 60529, 103337, 0};
static int joe_kuo_d6_initial_number05855[] = {1, 1, 3, 7, 1, 55, 3, 253, 435, 589, 1949, 1461, 513, 381, 29455, 4263, 16831, 0};
static int joe_kuo_d6_initial_number05856[] = {1, 1, 1, 15, 25, 19, 77, 101, 299, 187, 1021, 1533, 8021, 4165, 2277, 18927, 110439, 0};
static int joe_kuo_d6_initial_number05857[] = {1, 1, 1, 11, 9, 35, 71, 159, 409, 527, 15, 4073, 5749, 8563, 2503, 53015, 111581, 0};
static int joe_kuo_d6_initial_number05858[] = {1, 1, 7, 5, 21, 47, 113, 23, 477, 559, 543, 409, 4701, 11479, 30761, 8373, 87777, 0};
static int joe_kuo_d6_initial_number05859[] = {1, 3, 5, 13, 9, 27, 25, 137, 81, 37, 799, 857, 3539, 4471, 15753, 59015, 48589, 0};
static int joe_kuo_d6_initial_number05860[] = {1, 1, 3, 7, 11, 57, 103, 83, 209, 71, 193, 3251, 4839, 13959, 32009, 6471, 23631, 0};
static int joe_kuo_d6_initial_number05861[] = {1, 1, 7, 11, 25, 33, 85, 31, 371, 253, 1667, 1627, 6159, 10039, 15177, 52121, 39475, 0};
static int joe_kuo_d6_initial_number05862[] = {1, 1, 5, 9, 13, 55, 37, 13, 95, 113, 1895, 1525, 1907, 6361, 5863, 27767, 108143, 0};
static int joe_kuo_d6_initial_number05863[] = {1, 1, 3, 13, 21, 5, 53, 39, 485, 171, 1355, 2117, 3127, 6467, 31697, 45343, 111477, 0};
static int joe_kuo_d6_initial_number05864[] = {1, 1, 7, 15, 13, 57, 11, 231, 329, 703, 1823, 2983, 215, 2835, 19719, 56637, 126169, 0};
static int joe_kuo_d6_initial_number05865[] = {1, 3, 5, 15, 13, 51, 13, 173, 301, 867, 127, 2391, 2795, 4945, 13293, 49947, 10765, 0};
static int joe_kuo_d6_initial_number05866[] = {1, 3, 3, 9, 23, 5, 29, 165, 467, 599, 1181, 3213, 4069, 5473, 8937, 51495, 42611, 0};
static int joe_kuo_d6_initial_number05867[] = {1, 1, 7, 15, 5, 5, 31, 125, 397, 519, 1465, 115, 7877, 7025, 14213, 50343, 85827, 0};
static int joe_kuo_d6_initial_number05868[] = {1, 3, 7, 3, 25, 59, 95, 103, 101, 347, 95, 3, 1251, 15109, 12615, 7511, 56789, 0};
static int joe_kuo_d6_initial_number05869[] = {1, 3, 5, 9, 13, 59, 71, 19, 107, 73, 345, 3177, 6519, 2407, 18033, 31075, 113185, 0};
static int joe_kuo_d6_initial_number05870[] = {1, 1, 1, 3, 27, 37, 5, 219, 169, 149, 355, 549, 1811, 11351, 22627, 53931, 88619, 0};
static int joe_kuo_d6_initial_number05871[] = {1, 3, 1, 3, 27, 7, 9, 97, 399, 947, 1393, 3917, 5439, 15845, 19465, 30123, 69099, 0};
static int joe_kuo_d6_initial_number05872[] = {1, 1, 7, 9, 13, 25, 107, 45, 111, 409, 967, 3359, 2499, 1703, 20763, 45187, 16265, 0};
static int joe_kuo_d6_initial_number05873[] = {1, 1, 1, 13, 5, 49, 43, 249, 49, 947, 597, 1773, 2387, 2693, 15297, 57969, 53385, 0};
static int joe_kuo_d6_initial_number05874[] = {1, 1, 7, 15, 27, 25, 27, 121, 421, 781, 143, 817, 7335, 14211, 139, 55601, 56671, 0};
static int joe_kuo_d6_initial_number05875[] = {1, 3, 1, 5, 29, 47, 77, 23, 413, 931, 785, 1221, 769, 13131, 26955, 56441, 85745, 0};
static int joe_kuo_d6_initial_number05876[] = {1, 1, 1, 11, 27, 3, 53, 21, 467, 43, 1533, 1053, 691, 6369, 8325, 51087, 71261, 0};
static int joe_kuo_d6_initial_number05877[] = {1, 1, 3, 15, 7, 9, 43, 225, 293, 143, 1049, 3095, 6119, 3165, 9913, 26023, 62657, 0};
static int joe_kuo_d6_initial_number05878[] = {1, 3, 7, 9, 11, 39, 99, 193, 217, 941, 259, 3811, 6757, 281, 10377, 46961, 48949, 0};
static int joe_kuo_d6_initial_number05879[] = {1, 1, 1, 1, 25, 1, 99, 61, 495, 861, 2013, 487, 2821, 12921, 30111, 27213, 97363, 0};
static int joe_kuo_d6_initial_number05880[] = {1, 1, 5, 9, 23, 33, 103, 237, 161, 721, 2021, 159, 995, 475, 20615, 30961, 31767, 0};
static int joe_kuo_d6_initial_number05881[] = {1, 3, 1, 1, 5, 59, 63, 139, 451, 789, 1285, 655, 5501, 273, 21061, 35937, 20811, 0};
static int joe_kuo_d6_initial_number05882[] = {1, 3, 3, 9, 9, 15, 121, 233, 287, 929, 1605, 1243, 417, 1695, 29903, 28699, 85981, 0};
static int joe_kuo_d6_initial_number05883[] = {1, 3, 3, 5, 7, 25, 27, 253, 469, 255, 285, 2467, 4897, 4079, 29759, 50351, 76451, 0};
static int joe_kuo_d6_initial_number05884[] = {1, 1, 3, 3, 5, 33, 29, 209, 291, 967, 1429, 1953, 5957, 14065, 8875, 32675, 4629, 0};
static int joe_kuo_d6_initial_number05885[] = {1, 3, 5, 9, 7, 31, 97, 21, 177, 485, 1115, 4051, 6683, 7761, 30181, 37531, 51789, 0};
static int joe_kuo_d6_initial_number05886[] = {1, 1, 7, 3, 25, 51, 23, 183, 57, 699, 1245, 2519, 2783, 4457, 6381, 43199, 40071, 0};
static int joe_kuo_d6_initial_number05887[] = {1, 3, 5, 5, 19, 55, 45, 101, 299, 461, 1009, 319, 7335, 7769, 5479, 61113, 7937, 0};
static int joe_kuo_d6_initial_number05888[] = {1, 1, 7, 3, 29, 21, 55, 55, 437, 771, 363, 683, 4299, 15569, 13813, 40663, 86285, 0};
static int joe_kuo_d6_initial_number05889[] = {1, 1, 1, 13, 31, 35, 93, 175, 451, 387, 1145, 3367, 3833, 13495, 11019, 48925, 85721, 0};
static int joe_kuo_d6_initial_number05890[] = {1, 1, 7, 15, 31, 21, 55, 205, 117, 895, 535, 2627, 1473, 10779, 24493, 42999, 130805, 0};
static int joe_kuo_d6_initial_number05891[] = {1, 1, 3, 13, 27, 11, 45, 37, 193, 237, 1505, 1405, 3613, 9565, 3037, 53643, 85211, 0};
static int joe_kuo_d6_initial_number05892[] = {1, 1, 3, 13, 9, 17, 19, 27, 117, 503, 65, 1033, 7891, 4005, 9229, 20999, 96601, 0};
static int joe_kuo_d6_initial_number05893[] = {1, 3, 3, 5, 17, 3, 71, 79, 145, 985, 935, 3997, 6239, 12511, 13895, 65031, 126383, 0};
static int joe_kuo_d6_initial_number05894[] = {1, 1, 5, 1, 23, 55, 3, 105, 71, 243, 1479, 111, 7103, 10753, 26193, 35833, 14583, 0};
static int joe_kuo_d6_initial_number05895[] = {1, 3, 3, 3, 15, 3, 73, 125, 267, 29, 1775, 1437, 8091, 10891, 25731, 54381, 12821, 0};
static int joe_kuo_d6_initial_number05896[] = {1, 1, 1, 3, 23, 15, 67, 123, 401, 347, 807, 1097, 31, 11209, 8727, 58149, 129099, 0};
static int joe_kuo_d6_initial_number05897[] = {1, 3, 3, 7, 7, 61, 49, 129, 423, 535, 135, 3587, 233, 4509, 23209, 59203, 41297, 0};
static int joe_kuo_d6_initial_number05898[] = {1, 3, 1, 7, 5, 29, 65, 31, 335, 855, 835, 1421, 3081, 14219, 16321, 48269, 41603, 0};
static int joe_kuo_d6_initial_number05899[] = {1, 1, 1, 13, 3, 21, 5, 117, 163, 603, 1519, 3789, 7873, 10981, 4615, 9165, 83929, 0};
static int joe_kuo_d6_initial_number05900[] = {1, 3, 5, 11, 15, 21, 75, 151, 193, 757, 647, 1603, 333, 10515, 22771, 55459, 3315, 0};
static int joe_kuo_d6_initial_number05901[] = {1, 1, 7, 1, 27, 3, 63, 197, 271, 175, 1599, 2119, 1031, 8671, 10893, 35641, 94535, 0};
static int joe_kuo_d6_initial_number05902[] = {1, 1, 1, 15, 1, 59, 93, 17, 5, 213, 1663, 941, 435, 8107, 1963, 34951, 106181, 0};
static int joe_kuo_d6_initial_number05903[] = {1, 1, 5, 11, 13, 35, 111, 97, 267, 737, 2023, 1301, 7407, 11249, 31785, 31933, 20673, 0};
static int joe_kuo_d6_initial_number05904[] = {1, 3, 3, 15, 5, 15, 29, 63, 189, 687, 27, 2005, 7129, 11377, 23175, 42389, 30933, 0};
static int joe_kuo_d6_initial_number05905[] = {1, 1, 1, 9, 13, 63, 7, 155, 67, 291, 1419, 755, 2623, 4749, 22971, 7545, 55711, 0};
static int joe_kuo_d6_initial_number05906[] = {1, 3, 7, 7, 23, 29, 83, 151, 213, 201, 157, 3051, 6553, 6401, 15931, 47941, 22869, 0};
static int joe_kuo_d6_initial_number05907[] = {1, 3, 5, 5, 7, 45, 33, 155, 225, 25, 49, 2419, 4241, 6835, 11401, 50725, 118343, 0};
static int joe_kuo_d6_initial_number05908[] = {1, 1, 3, 13, 31, 27, 37, 41, 19, 375, 1771, 1789, 2313, 2577, 12615, 22715, 22179, 0};
static int joe_kuo_d6_initial_number05909[] = {1, 3, 1, 11, 17, 53, 55, 229, 235, 837, 143, 3583, 2789, 5471, 6515, 44565, 8619, 0};
static int joe_kuo_d6_initial_number05910[] = {1, 1, 5, 15, 5, 17, 23, 95, 217, 551, 353, 27, 3973, 2547, 27903, 50611, 72277, 0};
static int joe_kuo_d6_initial_number05911[] = {1, 1, 3, 7, 5, 13, 41, 111, 157, 215, 1327, 3073, 1871, 11875, 24239, 40527, 97637, 0};
static int joe_kuo_d6_initial_number05912[] = {1, 3, 1, 1, 29, 63, 111, 187, 369, 395, 1197, 3229, 4353, 14715, 29671, 50503, 89321, 0};
static int joe_kuo_d6_initial_number05913[] = {1, 3, 1, 1, 5, 63, 11, 39, 171, 209, 463, 3421, 3451, 4453, 14397, 2219, 98261, 0};
static int joe_kuo_d6_initial_number05914[] = {1, 3, 3, 5, 1, 1, 13, 101, 67, 815, 1521, 1543, 7221, 7337, 10765, 30029, 47881, 0};
static int joe_kuo_d6_initial_number05915[] = {1, 1, 5, 7, 9, 9, 33, 197, 439, 893, 961, 11, 4319, 14265, 24839, 33581, 35531, 0};
static int joe_kuo_d6_initial_number05916[] = {1, 3, 3, 15, 29, 35, 43, 229, 313, 369, 955, 1069, 2939, 12623, 20373, 1533, 9105, 0};
static int joe_kuo_d6_initial_number05917[] = {1, 3, 1, 7, 21, 7, 127, 243, 103, 353, 859, 3789, 4369, 12063, 22369, 14531, 94289, 0};
static int joe_kuo_d6_initial_number05918[] = {1, 3, 5, 15, 1, 27, 65, 127, 229, 99, 627, 2693, 7173, 7305, 29971, 7097, 10113, 0};
static int joe_kuo_d6_initial_number05919[] = {1, 1, 5, 15, 3, 47, 61, 29, 155, 725, 1727, 2667, 7003, 16277, 21983, 21365, 129365, 0};
static int joe_kuo_d6_initial_number05920[] = {1, 1, 5, 7, 27, 61, 115, 133, 137, 661, 1201, 2151, 367, 3567, 12885, 62143, 53955, 0};
static int joe_kuo_d6_initial_number05921[] = {1, 1, 1, 11, 9, 41, 113, 103, 469, 687, 1541, 3679, 6833, 10493, 32747, 39909, 121445, 0};
static int joe_kuo_d6_initial_number05922[] = {1, 1, 7, 5, 5, 5, 91, 91, 5, 405, 529, 3999, 6783, 2387, 16621, 12919, 8659, 0};
static int joe_kuo_d6_initial_number05923[] = {1, 1, 7, 13, 21, 47, 125, 155, 83, 913, 1833, 4027, 6657, 7031, 31231, 58201, 88943, 0};
static int joe_kuo_d6_initial_number05924[] = {1, 3, 7, 3, 17, 55, 25, 29, 181, 205, 1173, 1081, 6475, 5037, 18461, 22487, 114131, 0};
static int joe_kuo_d6_initial_number05925[] = {1, 1, 7, 7, 25, 63, 101, 103, 171, 191, 1863, 3441, 2515, 14179, 30123, 19145, 31669, 0};
static int joe_kuo_d6_initial_number05926[] = {1, 3, 7, 11, 29, 49, 73, 163, 415, 821, 1809, 723, 7049, 14565, 4829, 19395, 61131, 0};
static int joe_kuo_d6_initial_number05927[] = {1, 1, 7, 9, 5, 25, 103, 167, 381, 757, 813, 471, 3021, 6619, 20929, 38133, 129505, 0};
static int joe_kuo_d6_initial_number05928[] = {1, 1, 5, 13, 25, 61, 59, 199, 257, 999, 169, 3289, 7181, 2049, 2185, 39045, 102703, 0};
static int joe_kuo_d6_initial_number05929[] = {1, 1, 3, 1, 21, 1, 111, 125, 289, 33, 701, 3491, 5569, 8055, 23149, 26793, 102563, 0};
static int joe_kuo_d6_initial_number05930[] = {1, 1, 7, 3, 25, 15, 105, 235, 307, 201, 1947, 699, 2519, 10615, 29345, 17061, 112949, 0};
static int joe_kuo_d6_initial_number05931[] = {1, 3, 3, 15, 19, 1, 93, 173, 399, 13, 269, 1189, 523, 5145, 32731, 54087, 94123, 0};
static int joe_kuo_d6_initial_number05932[] = {1, 3, 1, 15, 9, 41, 59, 79, 217, 833, 1993, 2429, 3599, 6919, 30911, 12615, 67947, 0};
static int joe_kuo_d6_initial_number05933[] = {1, 3, 3, 13, 31, 9, 95, 37, 343, 955, 1363, 3851, 4091, 13165, 15241, 14853, 35747, 0};
static int joe_kuo_d6_initial_number05934[] = {1, 1, 3, 5, 27, 39, 37, 217, 385, 473, 1997, 2247, 7353, 1503, 9003, 15055, 27289, 0};
static int joe_kuo_d6_initial_number05935[] = {1, 3, 7, 11, 1, 13, 21, 243, 375, 91, 1295, 1661, 203, 15251, 15355, 16065, 24183, 0};
static int joe_kuo_d6_initial_number05936[] = {1, 3, 1, 13, 11, 45, 85, 5, 275, 741, 1395, 4011, 7987, 16087, 24113, 50555, 128147, 0};
static int joe_kuo_d6_initial_number05937[] = {1, 1, 1, 7, 3, 11, 13, 189, 55, 151, 395, 657, 807, 11973, 26297, 13043, 109641, 0};
static int joe_kuo_d6_initial_number05938[] = {1, 1, 7, 13, 31, 19, 33, 235, 491, 647, 1115, 2299, 6381, 7525, 2237, 36197, 126457, 0};
static int joe_kuo_d6_initial_number05939[] = {1, 3, 5, 1, 21, 15, 53, 231, 77, 347, 969, 141, 4501, 9429, 1815, 50887, 74581, 0};
static int joe_kuo_d6_initial_number05940[] = {1, 1, 1, 9, 29, 43, 47, 103, 327, 131, 927, 441, 7517, 7277, 21065, 409, 50351, 0};
static int joe_kuo_d6_initial_number05941[] = {1, 1, 5, 1, 11, 13, 103, 157, 239, 69, 1347, 477, 5017, 9723, 28133, 65135, 12359, 0};
static int joe_kuo_d6_initial_number05942[] = {1, 1, 1, 13, 17, 63, 117, 189, 323, 565, 927, 1727, 5337, 13243, 5739, 31241, 14209, 0};
static int joe_kuo_d6_initial_number05943[] = {1, 1, 3, 9, 29, 9, 103, 61, 467, 217, 1367, 2405, 5355, 5743, 31469, 30149, 98775, 0};
static int joe_kuo_d6_initial_number05944[] = {1, 1, 1, 15, 23, 23, 17, 229, 103, 583, 179, 115, 7081, 9437, 32623, 62639, 72391, 0};
static int joe_kuo_d6_initial_number05945[] = {1, 1, 5, 11, 11, 39, 97, 209, 115, 107, 593, 2347, 1445, 6179, 32011, 8435, 65847, 0};
static int joe_kuo_d6_initial_number05946[] = {1, 3, 7, 3, 29, 27, 55, 111, 27, 731, 995, 1871, 5017, 1485, 11313, 2559, 6561, 0};
static int joe_kuo_d6_initial_number05947[] = {1, 3, 1, 3, 27, 9, 103, 247, 83, 197, 517, 1629, 2189, 7255, 183, 35111, 15077, 0};
static int joe_kuo_d6_initial_number05948[] = {1, 3, 7, 5, 31, 37, 87, 223, 343, 331, 1361, 3371, 2007, 13235, 10897, 63839, 109837, 0};
static int joe_kuo_d6_initial_number05949[] = {1, 1, 7, 11, 17, 5, 41, 197, 489, 625, 1595, 2663, 5941, 14029, 30999, 16781, 116001, 0};
static int joe_kuo_d6_initial_number05950[] = {1, 3, 3, 7, 19, 19, 61, 175, 125, 609, 1391, 147, 3001, 4189, 10133, 24031, 46219, 0};
static int joe_kuo_d6_initial_number05951[] = {1, 1, 3, 13, 13, 57, 117, 181, 299, 939, 583, 3151, 829, 6561, 30449, 12211, 107879, 0};
static int joe_kuo_d6_initial_number05952[] = {1, 1, 5, 11, 23, 45, 87, 115, 259, 613, 1001, 171, 57, 13789, 22173, 56837, 26263, 0};
static int joe_kuo_d6_initial_number05953[] = {1, 1, 3, 3, 7, 43, 45, 131, 87, 251, 1411, 2737, 2739, 4595, 12561, 12043, 82885, 0};
static int joe_kuo_d6_initial_number05954[] = {1, 3, 3, 7, 19, 39, 87, 223, 461, 37, 283, 3937, 6193, 10887, 11509, 41131, 38359, 0};
static int joe_kuo_d6_initial_number05955[] = {1, 3, 1, 11, 11, 37, 25, 133, 105, 1013, 925, 3301, 239, 16295, 4831, 8649, 125767, 0};
static int joe_kuo_d6_initial_number05956[] = {1, 3, 3, 11, 25, 11, 41, 155, 1, 717, 1587, 635, 279, 1803, 14817, 28669, 88835, 0};
static int joe_kuo_d6_initial_number05957[] = {1, 3, 3, 11, 29, 17, 39, 51, 13, 871, 1197, 2561, 6671, 8465, 22709, 15933, 15923, 0};
static int joe_kuo_d6_initial_number05958[] = {1, 3, 7, 1, 13, 17, 57, 43, 267, 261, 901, 241, 3767, 15053, 11017, 36321, 72497, 0};
static int joe_kuo_d6_initial_number05959[] = {1, 3, 1, 15, 23, 13, 17, 63, 171, 919, 1387, 2673, 7605, 8523, 14807, 21187, 56057, 0};
static int joe_kuo_d6_initial_number05960[] = {1, 3, 7, 15, 23, 41, 85, 95, 53, 629, 1877, 3167, 2411, 9619, 24621, 31213, 30069, 0};
static int joe_kuo_d6_initial_number05961[] = {1, 1, 5, 3, 3, 25, 99, 39, 321, 549, 599, 1279, 2401, 2335, 8227, 59429, 94549, 0};
static int joe_kuo_d6_initial_number05962[] = {1, 3, 3, 11, 9, 21, 29, 55, 477, 19, 1275, 29, 2253, 11421, 30401, 57059, 93219, 0};
static int joe_kuo_d6_initial_number05963[] = {1, 1, 7, 1, 27, 13, 117, 249, 463, 769, 281, 515, 7467, 11507, 1621, 39765, 31109, 0};
static int joe_kuo_d6_initial_number05964[] = {1, 3, 5, 7, 19, 7, 77, 107, 23, 895, 1013, 2701, 3805, 7327, 27247, 6119, 102395, 0};
static int joe_kuo_d6_initial_number05965[] = {1, 1, 3, 13, 21, 49, 99, 15, 163, 641, 1703, 3061, 163, 4265, 32571, 13957, 75005, 0};
static int joe_kuo_d6_initial_number05966[] = {1, 1, 5, 11, 27, 17, 87, 169, 427, 959, 361, 1023, 5727, 16279, 1099, 39081, 67215, 0};
static int joe_kuo_d6_initial_number05967[] = {1, 3, 3, 9, 23, 13, 1, 91, 173, 325, 1881, 1385, 8023, 935, 9221, 19673, 36949, 0};
static int joe_kuo_d6_initial_number05968[] = {1, 3, 1, 7, 7, 25, 119, 189, 107, 249, 811, 973, 6499, 101, 11281, 55227, 32361, 0};
static int joe_kuo_d6_initial_number05969[] = {1, 1, 5, 13, 19, 37, 117, 95, 463, 587, 1419, 445, 4019, 7257, 29757, 50773, 52247, 0};
static int joe_kuo_d6_initial_number05970[] = {1, 1, 1, 1, 17, 57, 81, 57, 43, 789, 1035, 625, 1707, 9683, 3681, 12411, 110623, 0};
static int joe_kuo_d6_initial_number05971[] = {1, 1, 7, 5, 7, 57, 49, 91, 459, 513, 1869, 3377, 139, 10037, 24091, 54247, 41279, 0};
static int joe_kuo_d6_initial_number05972[] = {1, 3, 3, 9, 9, 33, 29, 51, 355, 415, 1907, 809, 6543, 349, 18507, 12919, 41667, 0};
static int joe_kuo_d6_initial_number05973[] = {1, 1, 5, 11, 3, 17, 73, 201, 121, 909, 1623, 799, 3271, 9051, 5717, 15169, 127861, 0};
static int joe_kuo_d6_initial_number05974[] = {1, 1, 7, 7, 23, 31, 1, 155, 475, 87, 2001, 2459, 1285, 5931, 6803, 56757, 71671, 0};
static int joe_kuo_d6_initial_number05975[] = {1, 1, 5, 13, 5, 1, 21, 109, 263, 841, 723, 1539, 7529, 433, 23721, 33195, 57001, 0};
static int joe_kuo_d6_initial_number05976[] = {1, 3, 3, 13, 29, 55, 105, 231, 405, 265, 671, 351, 4693, 9033, 21963, 52073, 125131, 0};
static int joe_kuo_d6_initial_number05977[] = {1, 3, 1, 13, 25, 51, 55, 227, 245, 983, 251, 2553, 2017, 1381, 31461, 3953, 75775, 0};
static int joe_kuo_d6_initial_number05978[] = {1, 1, 1, 11, 31, 11, 91, 91, 287, 749, 1019, 4055, 3237, 6965, 14765, 1663, 82987, 0};
static int joe_kuo_d6_initial_number05979[] = {1, 1, 7, 3, 11, 15, 67, 161, 79, 729, 1115, 3713, 2715, 9361, 9365, 26093, 63409, 0};
static int joe_kuo_d6_initial_number05980[] = {1, 3, 1, 7, 1, 51, 125, 15, 457, 433, 405, 2329, 157, 4817, 25867, 38177, 45319, 0};
static int joe_kuo_d6_initial_number05981[] = {1, 3, 7, 9, 25, 57, 5, 233, 481, 781, 1313, 3179, 7219, 8717, 14825, 16079, 127149, 0};
static int joe_kuo_d6_initial_number05982[] = {1, 1, 7, 15, 27, 51, 5, 65, 77, 313, 1751, 1489, 4307, 10541, 11345, 52577, 18143, 0};
static int joe_kuo_d6_initial_number05983[] = {1, 1, 1, 15, 21, 5, 113, 71, 411, 327, 1681, 1023, 5661, 15815, 5387, 10351, 21121, 0};
static int joe_kuo_d6_initial_number05984[] = {1, 1, 5, 5, 29, 55, 25, 255, 69, 879, 501, 1915, 3731, 633, 12197, 5249, 31129, 0};
static int joe_kuo_d6_initial_number05985[] = {1, 3, 5, 7, 3, 23, 107, 163, 485, 853, 359, 3069, 4353, 371, 6027, 53239, 105541, 0};
static int joe_kuo_d6_initial_number05986[] = {1, 3, 5, 15, 7, 41, 9, 47, 33, 327, 621, 147, 577, 29, 14623, 3403, 9791, 0};
static int joe_kuo_d6_initial_number05987[] = {1, 3, 3, 15, 29, 47, 41, 149, 477, 127, 573, 877, 3101, 5963, 28457, 14231, 67425, 0};
static int joe_kuo_d6_initial_number05988[] = {1, 1, 1, 15, 31, 7, 55, 191, 101, 259, 1071, 219, 2233, 3583, 21969, 32745, 80529, 0};
static int joe_kuo_d6_initial_number05989[] = {1, 3, 7, 13, 17, 53, 115, 69, 241, 71, 1475, 191, 509, 3721, 15537, 53773, 18005, 0};
static int joe_kuo_d6_initial_number05990[] = {1, 1, 3, 9, 5, 57, 13, 95, 103, 871, 2043, 2239, 7833, 10727, 6513, 55273, 3781, 0};
static int joe_kuo_d6_initial_number05991[] = {1, 1, 5, 5, 9, 11, 55, 151, 239, 537, 135, 2779, 7393, 15393, 11097, 58593, 100745, 0};
static int joe_kuo_d6_initial_number05992[] = {1, 1, 1, 9, 15, 39, 29, 105, 441, 181, 1113, 2125, 8145, 11045, 6589, 33603, 83377, 0};
static int joe_kuo_d6_initial_number05993[] = {1, 3, 1, 1, 11, 63, 69, 153, 225, 845, 675, 407, 4691, 13383, 27359, 38881, 5509, 0};
static int joe_kuo_d6_initial_number05994[] = {1, 3, 7, 11, 23, 31, 69, 3, 41, 57, 683, 887, 6861, 12161, 14537, 27293, 113001, 0};
static int joe_kuo_d6_initial_number05995[] = {1, 1, 1, 11, 5, 1, 101, 175, 437, 3, 1477, 1005, 6607, 7429, 7213, 4025, 66479, 0};
static int joe_kuo_d6_initial_number05996[] = {1, 1, 7, 5, 19, 7, 99, 131, 273, 977, 1717, 3831, 175, 5673, 12577, 36787, 30945, 0};
static int joe_kuo_d6_initial_number05997[] = {1, 3, 1, 1, 15, 37, 105, 195, 61, 869, 255, 2625, 7401, 9361, 13217, 52811, 130811, 0};
static int joe_kuo_d6_initial_number05998[] = {1, 3, 5, 3, 29, 27, 105, 23, 511, 813, 1311, 2859, 1647, 1949, 1329, 27589, 125209, 0};
static int joe_kuo_d6_initial_number05999[] = {1, 3, 3, 1, 21, 11, 119, 247, 123, 401, 409, 1845, 2133, 10793, 221, 43217, 14069, 0};
static int joe_kuo_d6_initial_number06000[] = {1, 1, 5, 1, 29, 21, 51, 73, 501, 861, 725, 249, 4249, 8029, 15767, 11985, 18637, 0};
static int joe_kuo_d6_initial_number06001[] = {1, 1, 5, 11, 19, 39, 97, 65, 13, 283, 489, 2307, 5239, 4161, 18639, 60035, 22405, 0};
static int joe_kuo_d6_initial_number06002[] = {1, 3, 5, 1, 3, 7, 109, 27, 429, 663, 1569, 3001, 3453, 8627, 9719, 23941, 110451, 0};
static int joe_kuo_d6_initial_number06003[] = {1, 3, 7, 5, 17, 13, 125, 209, 347, 95, 1937, 1419, 5661, 7171, 20607, 9777, 68343, 0};
static int joe_kuo_d6_initial_number06004[] = {1, 1, 1, 1, 7, 41, 43, 229, 57, 49, 1863, 2819, 3735, 915, 1571, 11603, 116275, 0};
static int joe_kuo_d6_initial_number06005[] = {1, 1, 7, 9, 21, 27, 5, 199, 181, 521, 303, 1097, 5427, 8899, 30325, 55457, 16189, 0};
static int joe_kuo_d6_initial_number06006[] = {1, 3, 3, 7, 19, 41, 3, 205, 279, 223, 971, 633, 2617, 13191, 10193, 23375, 62563, 0};
static int joe_kuo_d6_initial_number06007[] = {1, 3, 3, 13, 23, 59, 85, 25, 253, 405, 65, 1625, 4401, 4679, 14381, 57833, 30001, 0};
static int joe_kuo_d6_initial_number06008[] = {1, 3, 3, 3, 13, 35, 11, 157, 123, 397, 119, 2513, 1919, 14583, 5469, 11463, 94711, 0};
static int joe_kuo_d6_initial_number06009[] = {1, 1, 1, 7, 17, 37, 83, 211, 451, 939, 449, 13, 6671, 1457, 19855, 15053, 52327, 0};
static int joe_kuo_d6_initial_number06010[] = {1, 1, 5, 3, 9, 57, 39, 183, 331, 451, 1391, 1865, 7801, 14293, 29069, 705, 109497, 0};
static int joe_kuo_d6_initial_number06011[] = {1, 3, 7, 7, 23, 21, 85, 81, 255, 9, 1685, 2879, 6327, 12675, 31657, 38877, 74131, 0};
static int joe_kuo_d6_initial_number06012[] = {1, 1, 5, 9, 25, 19, 41, 195, 31, 555, 927, 1445, 593, 11067, 10819, 17205, 82037, 0};
static int joe_kuo_d6_initial_number06013[] = {1, 3, 1, 13, 1, 35, 29, 71, 323, 705, 53, 3885, 6223, 1319, 30853, 59935, 35949, 0};
static int joe_kuo_d6_initial_number06014[] = {1, 1, 7, 3, 27, 63, 67, 31, 149, 61, 1611, 77, 4271, 3161, 12493, 38341, 53837, 0};
static int joe_kuo_d6_initial_number06015[] = {1, 1, 1, 15, 27, 53, 31, 249, 429, 925, 1485, 1855, 4421, 5703, 10097, 14827, 36685, 0};
static int joe_kuo_d6_initial_number06016[] = {1, 3, 7, 13, 7, 63, 53, 9, 317, 485, 1679, 3631, 3745, 5643, 21615, 45129, 48027, 0};
static int joe_kuo_d6_initial_number06017[] = {1, 1, 1, 1, 17, 43, 19, 163, 441, 847, 937, 959, 6649, 13071, 1065, 55193, 129509, 0};
static int joe_kuo_d6_initial_number06018[] = {1, 1, 1, 11, 29, 47, 9, 215, 397, 637, 961, 3139, 2007, 12603, 27657, 22825, 72873, 0};
static int joe_kuo_d6_initial_number06019[] = {1, 3, 3, 15, 7, 45, 55, 163, 259, 899, 951, 3245, 4191, 15813, 20195, 8361, 54025, 0};
static int joe_kuo_d6_initial_number06020[] = {1, 1, 5, 11, 3, 17, 13, 223, 289, 255, 875, 2937, 1593, 9729, 21569, 63199, 83875, 0};
static int joe_kuo_d6_initial_number06021[] = {1, 1, 1, 15, 19, 31, 17, 129, 267, 9, 2015, 3233, 6799, 12891, 18473, 37865, 19547, 0};
static int joe_kuo_d6_initial_number06022[] = {1, 1, 5, 5, 5, 29, 81, 37, 357, 539, 1525, 2839, 8041, 5569, 4423, 8907, 35461, 0};
static int joe_kuo_d6_initial_number06023[] = {1, 1, 5, 5, 29, 11, 85, 61, 333, 521, 1111, 3627, 325, 9805, 17889, 25655, 39537, 0};
static int joe_kuo_d6_initial_number06024[] = {1, 3, 5, 11, 11, 53, 81, 25, 79, 253, 1963, 287, 7487, 15045, 21431, 35417, 102391, 0};
static int joe_kuo_d6_initial_number06025[] = {1, 1, 1, 5, 11, 33, 45, 45, 425, 773, 1817, 4077, 1471, 11655, 683, 7115, 92651, 0};
static int joe_kuo_d6_initial_number06026[] = {1, 1, 3, 3, 21, 13, 101, 215, 311, 853, 41, 1007, 5511, 2581, 25565, 13155, 117225, 0};
static int joe_kuo_d6_initial_number06027[] = {1, 1, 3, 11, 19, 9, 125, 59, 273, 691, 499, 1547, 567, 10259, 21963, 48725, 3601, 0};
static int joe_kuo_d6_initial_number06028[] = {1, 1, 3, 7, 27, 31, 39, 125, 317, 625, 1329, 3947, 3943, 6889, 2811, 34055, 1449, 0};
static int joe_kuo_d6_initial_number06029[] = {1, 1, 1, 3, 29, 45, 73, 239, 319, 611, 647, 1839, 5277, 7807, 3107, 14683, 20203, 0};
static int joe_kuo_d6_initial_number06030[] = {1, 3, 3, 3, 5, 5, 107, 139, 103, 809, 1343, 4041, 3273, 1789, 16205, 47873, 27803, 0};
static int joe_kuo_d6_initial_number06031[] = {1, 3, 1, 9, 21, 23, 13, 131, 105, 741, 1773, 981, 5633, 14609, 12281, 50343, 14317, 0};
static int joe_kuo_d6_initial_number06032[] = {1, 1, 1, 5, 11, 5, 125, 171, 109, 555, 159, 905, 691, 12401, 22817, 41411, 70113, 0};
static int joe_kuo_d6_initial_number06033[] = {1, 3, 3, 9, 31, 37, 109, 231, 59, 615, 799, 319, 2459, 4521, 8525, 4827, 22969, 0};
static int joe_kuo_d6_initial_number06034[] = {1, 3, 1, 5, 11, 7, 49, 237, 345, 473, 981, 2073, 6525, 8805, 13403, 3659, 69897, 0};
static int joe_kuo_d6_initial_number06035[] = {1, 3, 1, 5, 9, 37, 13, 203, 141, 573, 745, 2613, 5589, 607, 24483, 38427, 95775, 0};
static int joe_kuo_d6_initial_number06036[] = {1, 1, 3, 1, 23, 61, 75, 57, 299, 191, 805, 2993, 5175, 12037, 13649, 58831, 48791, 0};
static int joe_kuo_d6_initial_number06037[] = {1, 3, 7, 13, 31, 57, 13, 219, 185, 717, 1607, 3785, 4719, 11583, 29285, 48207, 92021, 0};
static int joe_kuo_d6_initial_number06038[] = {1, 3, 7, 15, 23, 35, 23, 69, 411, 773, 1549, 1087, 1685, 15703, 27193, 62675, 43505, 0};
static int joe_kuo_d6_initial_number06039[] = {1, 1, 5, 3, 25, 19, 97, 75, 493, 549, 1655, 2881, 4989, 2765, 4797, 43143, 113955, 0};
static int joe_kuo_d6_initial_number06040[] = {1, 1, 5, 7, 21, 5, 65, 37, 383, 133, 1907, 3747, 1525, 5803, 19977, 50551, 23157, 0};
static int joe_kuo_d6_initial_number06041[] = {1, 1, 1, 11, 15, 61, 59, 109, 489, 901, 1787, 1611, 6101, 10653, 3071, 35643, 56227, 0};
static int joe_kuo_d6_initial_number06042[] = {1, 3, 1, 5, 15, 25, 121, 111, 25, 251, 1467, 1795, 1631, 13753, 32391, 14831, 90739, 0};
static int joe_kuo_d6_initial_number06043[] = {1, 1, 1, 13, 23, 55, 119, 147, 45, 871, 1389, 1929, 1023, 16131, 10041, 40055, 23337, 0};
static int joe_kuo_d6_initial_number06044[] = {1, 3, 1, 15, 27, 33, 23, 41, 463, 603, 1633, 3445, 2007, 5999, 11175, 18343, 13159, 0};
static int joe_kuo_d6_initial_number06045[] = {1, 3, 1, 9, 17, 15, 107, 63, 493, 411, 293, 3669, 6143, 3057, 8253, 25491, 58907, 0};
static int joe_kuo_d6_initial_number06046[] = {1, 3, 5, 11, 1, 43, 5, 117, 127, 813, 1881, 3711, 2567, 7819, 5809, 64471, 104221, 0};
static int joe_kuo_d6_initial_number06047[] = {1, 3, 5, 9, 25, 27, 49, 93, 77, 705, 1773, 1745, 4605, 16137, 14621, 62893, 81637, 0};
static int joe_kuo_d6_initial_number06048[] = {1, 3, 1, 15, 9, 29, 41, 101, 291, 763, 1475, 3185, 3661, 10351, 26645, 50375, 59373, 0};
static int joe_kuo_d6_initial_number06049[] = {1, 1, 5, 15, 9, 31, 107, 159, 125, 471, 1023, 2361, 4805, 8073, 21563, 14903, 77801, 0};
static int joe_kuo_d6_initial_number06050[] = {1, 3, 7, 1, 27, 17, 75, 129, 71, 697, 551, 1969, 6597, 13821, 2605, 61783, 74791, 0};
static int joe_kuo_d6_initial_number06051[] = {1, 1, 7, 15, 17, 27, 49, 47, 59, 47, 1671, 2535, 1299, 2387, 24349, 23661, 91123, 0};
static int joe_kuo_d6_initial_number06052[] = {1, 1, 5, 15, 21, 61, 45, 37, 415, 189, 143, 351, 1815, 3479, 2399, 56753, 123893, 0};
static int joe_kuo_d6_initial_number06053[] = {1, 1, 3, 7, 7, 19, 93, 249, 335, 305, 1437, 1329, 2693, 13201, 9589, 61513, 115995, 0};
static int joe_kuo_d6_initial_number06054[] = {1, 1, 1, 11, 21, 57, 33, 205, 235, 253, 751, 259, 6029, 9811, 10231, 36899, 78035, 0};
static int joe_kuo_d6_initial_number06055[] = {1, 1, 1, 11, 13, 25, 115, 195, 111, 913, 1851, 3283, 6083, 11717, 2773, 40727, 493, 0};
static int joe_kuo_d6_initial_number06056[] = {1, 3, 3, 9, 9, 17, 83, 137, 465, 671, 1277, 325, 2767, 12413, 21977, 47525, 23041, 0};
static int joe_kuo_d6_initial_number06057[] = {1, 1, 1, 11, 15, 47, 65, 219, 271, 197, 297, 3195, 1325, 9991, 26385, 46055, 43151, 0};
static int joe_kuo_d6_initial_number06058[] = {1, 1, 1, 13, 31, 21, 39, 89, 127, 629, 367, 2935, 6259, 6627, 15691, 55781, 97251, 0};
static int joe_kuo_d6_initial_number06059[] = {1, 1, 7, 13, 11, 45, 65, 75, 211, 785, 1221, 2087, 7751, 15619, 25489, 28195, 69007, 0};
static int joe_kuo_d6_initial_number06060[] = {1, 3, 5, 15, 27, 37, 75, 111, 487, 219, 233, 583, 6433, 15105, 355, 28331, 21105, 0};
static int joe_kuo_d6_initial_number06061[] = {1, 3, 3, 15, 31, 53, 33, 95, 27, 197, 1727, 1467, 7115, 15479, 26873, 31075, 12793, 0};
static int joe_kuo_d6_initial_number06062[] = {1, 3, 7, 1, 19, 3, 19, 105, 225, 599, 737, 107, 7951, 10193, 31699, 59207, 85619, 0};
static int joe_kuo_d6_initial_number06063[] = {1, 3, 1, 3, 7, 17, 73, 191, 247, 421, 537, 1473, 189, 4219, 29993, 25491, 21189, 0};
static int joe_kuo_d6_initial_number06064[] = {1, 3, 7, 7, 13, 21, 33, 95, 147, 699, 943, 2275, 4093, 6067, 9063, 25503, 111085, 0};
static int joe_kuo_d6_initial_number06065[] = {1, 1, 7, 9, 13, 47, 123, 121, 347, 467, 225, 957, 2329, 14075, 29843, 61753, 97179, 0};
static int joe_kuo_d6_initial_number06066[] = {1, 3, 3, 7, 17, 55, 37, 167, 215, 819, 163, 1747, 4485, 15991, 28011, 36351, 106495, 0};
static int joe_kuo_d6_initial_number06067[] = {1, 1, 3, 9, 25, 5, 83, 199, 209, 395, 1757, 1967, 5739, 2573, 13989, 32145, 4847, 0};
static int joe_kuo_d6_initial_number06068[] = {1, 3, 3, 13, 11, 21, 25, 223, 239, 569, 1877, 299, 8089, 3697, 801, 64775, 26827, 0};
static int joe_kuo_d6_initial_number06069[] = {1, 3, 5, 7, 17, 9, 127, 9, 65, 919, 1073, 2661, 1337, 10065, 30099, 30929, 90067, 0};
static int joe_kuo_d6_initial_number06070[] = {1, 3, 1, 13, 25, 41, 35, 251, 279, 351, 111, 3917, 2815, 7989, 9895, 54859, 126355, 0};
static int joe_kuo_d6_initial_number06071[] = {1, 1, 3, 7, 17, 61, 13, 73, 335, 831, 703, 37, 2765, 13169, 12513, 56301, 13907, 0};
static int joe_kuo_d6_initial_number06072[] = {1, 1, 5, 13, 11, 15, 33, 45, 505, 127, 1723, 17, 4927, 11453, 28859, 9671, 80041, 0};
static int joe_kuo_d6_initial_number06073[] = {1, 3, 1, 5, 9, 1, 25, 147, 281, 601, 243, 2687, 5533, 6725, 11075, 34807, 24619, 0};
static int joe_kuo_d6_initial_number06074[] = {1, 1, 3, 1, 7, 21, 71, 31, 485, 561, 1361, 1237, 8171, 15885, 7941, 4583, 32851, 0};
static int joe_kuo_d6_initial_number06075[] = {1, 3, 7, 1, 5, 35, 95, 155, 283, 959, 577, 1343, 4269, 13481, 30819, 40273, 8711, 0};
static int joe_kuo_d6_initial_number06076[] = {1, 3, 7, 3, 1, 53, 77, 45, 215, 537, 1045, 77, 2791, 3553, 13273, 23819, 62263, 0};
static int joe_kuo_d6_initial_number06077[] = {1, 3, 1, 15, 29, 59, 7, 145, 85, 3, 251, 2691, 7547, 11241, 32295, 24645, 75739, 0};
static int joe_kuo_d6_initial_number06078[] = {1, 1, 5, 9, 19, 9, 39, 163, 303, 233, 2039, 2027, 7169, 2773, 28649, 38317, 66761, 0};
static int joe_kuo_d6_initial_number06079[] = {1, 3, 7, 5, 21, 27, 93, 227, 131, 1019, 1619, 1497, 4043, 1131, 25761, 20173, 99957, 0};
static int joe_kuo_d6_initial_number06080[] = {1, 3, 7, 5, 19, 33, 15, 173, 435, 399, 531, 2001, 3221, 12627, 10153, 24421, 61805, 0};
static int joe_kuo_d6_initial_number06081[] = {1, 3, 1, 9, 11, 3, 69, 105, 289, 183, 1103, 831, 2297, 1613, 18801, 54395, 54243, 0};
static int joe_kuo_d6_initial_number06082[] = {1, 3, 3, 9, 3, 53, 113, 183, 79, 355, 1629, 1061, 3713, 4563, 14365, 43529, 56073, 0};
static int joe_kuo_d6_initial_number06083[] = {1, 3, 7, 11, 31, 39, 107, 139, 187, 873, 225, 33, 4943, 15837, 225, 6407, 85967, 0};
static int joe_kuo_d6_initial_number06084[] = {1, 3, 1, 11, 17, 47, 93, 233, 119, 699, 1429, 2845, 2061, 8887, 20665, 45497, 33107, 0};
static int joe_kuo_d6_initial_number06085[] = {1, 3, 5, 1, 25, 11, 55, 75, 91, 1009, 1887, 3167, 515, 15929, 11659, 57953, 63401, 0};
static int joe_kuo_d6_initial_number06086[] = {1, 1, 3, 15, 27, 59, 103, 53, 353, 553, 2021, 1543, 2785, 9373, 14609, 21213, 19911, 0};
static int joe_kuo_d6_initial_number06087[] = {1, 3, 7, 9, 3, 1, 101, 133, 437, 773, 1399, 1067, 7419, 1793, 16589, 3483, 42065, 0};
static int joe_kuo_d6_initial_number06088[] = {1, 3, 7, 1, 25, 57, 127, 113, 65, 577, 1865, 1527, 6485, 11273, 15803, 39625, 75219, 0};
static int joe_kuo_d6_initial_number06089[] = {1, 3, 5, 9, 7, 63, 29, 89, 155, 45, 1029, 2407, 6783, 4749, 4849, 26639, 54059, 0};
static int joe_kuo_d6_initial_number06090[] = {1, 3, 7, 9, 25, 13, 113, 41, 267, 767, 1071, 1689, 269, 14437, 21255, 39473, 65771, 0};
static int joe_kuo_d6_initial_number06091[] = {1, 3, 1, 15, 5, 3, 77, 43, 391, 763, 59, 1027, 6263, 3715, 31061, 43311, 130725, 0};
static int joe_kuo_d6_initial_number06092[] = {1, 3, 7, 7, 21, 51, 127, 71, 229, 171, 397, 1099, 871, 2717, 1643, 17363, 125979, 0};
static int joe_kuo_d6_initial_number06093[] = {1, 1, 5, 15, 25, 11, 11, 113, 203, 795, 1703, 3901, 1113, 12819, 25345, 46691, 112313, 0};
static int joe_kuo_d6_initial_number06094[] = {1, 3, 7, 5, 1, 59, 91, 81, 325, 483, 595, 1491, 7455, 6699, 199, 35597, 59851, 0};
static int joe_kuo_d6_initial_number06095[] = {1, 3, 5, 1, 3, 33, 43, 195, 201, 575, 1395, 1305, 7001, 2023, 22419, 15233, 120355, 0};
static int joe_kuo_d6_initial_number06096[] = {1, 1, 3, 3, 15, 37, 81, 59, 87, 675, 199, 3231, 4473, 5023, 16753, 51475, 102113, 0};
static int joe_kuo_d6_initial_number06097[] = {1, 1, 7, 9, 13, 39, 65, 9, 51, 565, 1171, 119, 7875, 12149, 6565, 56849, 123235, 0};
static int joe_kuo_d6_initial_number06098[] = {1, 3, 3, 7, 15, 45, 53, 93, 111, 533, 1849, 643, 2265, 10241, 24741, 11559, 74333, 0};
static int joe_kuo_d6_initial_number06099[] = {1, 3, 1, 1, 11, 61, 75, 51, 5, 199, 535, 279, 5821, 6005, 2907, 32521, 74121, 0};
static int joe_kuo_d6_initial_number06100[] = {1, 1, 3, 15, 3, 21, 29, 193, 71, 993, 1719, 1865, 6135, 7683, 12171, 29275, 14539, 0};
static int joe_kuo_d6_initial_number06101[] = {1, 1, 1, 7, 7, 13, 1, 61, 315, 431, 1145, 2067, 5745, 1641, 1047, 55111, 129477, 0};
static int joe_kuo_d6_initial_number06102[] = {1, 1, 5, 1, 21, 43, 115, 193, 153, 573, 1181, 3947, 7809, 11317, 30649, 56891, 47741, 0};
static int joe_kuo_d6_initial_number06103[] = {1, 1, 5, 7, 19, 15, 61, 239, 109, 683, 395, 2869, 3103, 1531, 12019, 45159, 37525, 0};
static int joe_kuo_d6_initial_number06104[] = {1, 1, 5, 7, 29, 55, 45, 7, 353, 659, 591, 3371, 5777, 8475, 2743, 47483, 11983, 0};
static int joe_kuo_d6_initial_number06105[] = {1, 3, 1, 3, 13, 17, 39, 195, 43, 5, 1749, 2559, 5843, 8719, 21421, 58511, 105637, 0};
static int joe_kuo_d6_initial_number06106[] = {1, 3, 5, 5, 5, 21, 29, 63, 387, 301, 567, 3325, 2109, 403, 23053, 24851, 14493, 0};
static int joe_kuo_d6_initial_number06107[] = {1, 1, 3, 3, 17, 57, 107, 131, 85, 855, 1101, 3199, 7159, 14739, 4197, 27943, 113009, 0};
static int joe_kuo_d6_initial_number06108[] = {1, 1, 3, 11, 1, 61, 31, 79, 33, 123, 1509, 507, 6679, 2279, 8465, 37279, 17553, 0};
static int joe_kuo_d6_initial_number06109[] = {1, 3, 1, 15, 7, 33, 11, 71, 217, 609, 1661, 3437, 5497, 13365, 6247, 649, 26407, 0};
static int joe_kuo_d6_initial_number06110[] = {1, 1, 3, 1, 19, 45, 49, 125, 5, 455, 1669, 4083, 253, 10101, 27327, 16401, 120399, 0};
static int joe_kuo_d6_initial_number06111[] = {1, 3, 1, 1, 27, 19, 117, 137, 261, 341, 1697, 457, 7553, 12169, 30049, 49281, 36937, 0};
static int joe_kuo_d6_initial_number06112[] = {1, 1, 1, 3, 9, 49, 33, 13, 461, 545, 1537, 2623, 883, 10921, 5583, 58997, 114183, 0};
static int joe_kuo_d6_initial_number06113[] = {1, 1, 7, 9, 29, 53, 29, 165, 205, 989, 1347, 2343, 7505, 7609, 18503, 51677, 105993, 0};
static int joe_kuo_d6_initial_number06114[] = {1, 1, 1, 13, 1, 29, 59, 121, 297, 659, 1965, 1765, 5255, 10971, 32613, 18763, 41983, 0};
static int joe_kuo_d6_initial_number06115[] = {1, 3, 7, 11, 21, 41, 19, 47, 125, 485, 475, 2745, 4075, 8101, 31227, 4679, 115473, 0};
static int joe_kuo_d6_initial_number06116[] = {1, 3, 3, 7, 21, 23, 55, 65, 223, 1001, 317, 1459, 183, 5139, 26553, 41471, 116373, 0};
static int joe_kuo_d6_initial_number06117[] = {1, 1, 7, 3, 1, 9, 29, 139, 343, 913, 1993, 3139, 3791, 5869, 6057, 23863, 35737, 0};
static int joe_kuo_d6_initial_number06118[] = {1, 3, 3, 3, 7, 21, 77, 197, 239, 467, 35, 591, 1061, 3417, 31811, 38825, 124981, 0};
static int joe_kuo_d6_initial_number06119[] = {1, 3, 3, 1, 21, 29, 5, 213, 417, 111, 1681, 1409, 2899, 16233, 1053, 51235, 87767, 0};
static int joe_kuo_d6_initial_number06120[] = {1, 1, 5, 3, 13, 47, 61, 203, 223, 73, 1947, 3613, 5885, 13567, 7593, 34329, 68597, 0};
static int joe_kuo_d6_initial_number06121[] = {1, 3, 1, 1, 17, 9, 11, 187, 361, 973, 781, 1835, 1539, 12917, 21725, 48279, 115037, 0};
static int joe_kuo_d6_initial_number06122[] = {1, 3, 1, 1, 9, 25, 117, 157, 433, 395, 403, 2183, 3327, 5427, 7505, 2673, 77137, 0};
static int joe_kuo_d6_initial_number06123[] = {1, 1, 7, 15, 31, 15, 27, 155, 441, 837, 1877, 3829, 5139, 16331, 31183, 15803, 95699, 0};
static int joe_kuo_d6_initial_number06124[] = {1, 1, 7, 15, 5, 51, 77, 179, 289, 727, 1763, 2529, 6715, 3967, 29267, 27293, 67953, 0};
static int joe_kuo_d6_initial_number06125[] = {1, 3, 7, 13, 7, 3, 3, 17, 311, 547, 1465, 1413, 3937, 2725, 24523, 12321, 109763, 0};
static int joe_kuo_d6_initial_number06126[] = {1, 3, 5, 15, 9, 5, 87, 135, 281, 97, 2021, 1903, 8007, 10321, 27989, 18993, 110407, 0};
static int joe_kuo_d6_initial_number06127[] = {1, 1, 1, 13, 25, 61, 89, 107, 233, 823, 1375, 3531, 1757, 1577, 29457, 1461, 17217, 0};
static int joe_kuo_d6_initial_number06128[] = {1, 1, 1, 13, 17, 17, 27, 193, 485, 759, 145, 3943, 4183, 14119, 11217, 3793, 1935, 0};
static int joe_kuo_d6_initial_number06129[] = {1, 1, 1, 3, 13, 31, 101, 227, 311, 363, 1925, 1525, 5275, 2385, 15093, 48769, 121189, 0};
static int joe_kuo_d6_initial_number06130[] = {1, 1, 5, 13, 11, 61, 89, 141, 117, 229, 417, 3935, 7249, 13869, 30591, 62763, 67521, 0};
static int joe_kuo_d6_initial_number06131[] = {1, 1, 3, 15, 7, 59, 105, 239, 453, 221, 1101, 395, 2031, 8941, 23155, 7077, 125593, 0};
static int joe_kuo_d6_initial_number06132[] = {1, 1, 1, 11, 7, 55, 99, 31, 305, 371, 1035, 577, 4473, 577, 371, 46093, 69157, 0};
static int joe_kuo_d6_initial_number06133[] = {1, 3, 1, 9, 9, 33, 35, 245, 95, 47, 1623, 2965, 6849, 7269, 5321, 31641, 73321, 0};
static int joe_kuo_d6_initial_number06134[] = {1, 1, 1, 15, 21, 61, 65, 65, 159, 151, 625, 2281, 2993, 1311, 29757, 24703, 71029, 0};
static int joe_kuo_d6_initial_number06135[] = {1, 3, 5, 15, 29, 59, 29, 69, 351, 901, 631, 3501, 7031, 703, 20805, 36437, 94931, 0};
static int joe_kuo_d6_initial_number06136[] = {1, 3, 7, 1, 21, 11, 19, 125, 237, 807, 1651, 2389, 7347, 11759, 27151, 38669, 965, 0};
static int joe_kuo_d6_initial_number06137[] = {1, 1, 5, 1, 15, 41, 1, 105, 89, 127, 895, 29, 2339, 15951, 18633, 2781, 67269, 0};
static int joe_kuo_d6_initial_number06138[] = {1, 1, 5, 15, 25, 7, 3, 33, 375, 447, 203, 2579, 6145, 14015, 9939, 52777, 123181, 0};
static int joe_kuo_d6_initial_number06139[] = {1, 3, 1, 15, 29, 7, 7, 27, 451, 869, 107, 2457, 5557, 11601, 28957, 36181, 41419, 0};
static int joe_kuo_d6_initial_number06140[] = {1, 1, 1, 7, 1, 57, 33, 213, 329, 763, 815, 169, 623, 155, 20529, 20603, 73311, 0};
static int joe_kuo_d6_initial_number06141[] = {1, 3, 5, 7, 25, 21, 7, 217, 159, 89, 1373, 1735, 705, 4093, 13083, 3855, 55875, 0};
static int joe_kuo_d6_initial_number06142[] = {1, 3, 1, 1, 29, 33, 105, 127, 95, 543, 235, 67, 691, 5015, 22139, 18251, 89945, 0};
static int joe_kuo_d6_initial_number06143[] = {1, 1, 3, 11, 27, 53, 105, 83, 337, 331, 1571, 1145, 745, 1845, 17881, 17697, 88139, 0};
static int joe_kuo_d6_initial_number06144[] = {1, 3, 7, 15, 19, 37, 119, 35, 35, 463, 1925, 1665, 673, 12193, 12137, 62371, 10957, 0};
static int joe_kuo_d6_initial_number06145[] = {1, 3, 3, 3, 19, 21, 113, 29, 459, 467, 623, 2661, 857, 16265, 27509, 46555, 18867, 0};
static int joe_kuo_d6_initial_number06146[] = {1, 3, 7, 5, 17, 49, 123, 41, 85, 673, 41, 1871, 7649, 8687, 28269, 64423, 93675, 0};
static int joe_kuo_d6_initial_number06147[] = {1, 3, 3, 3, 7, 23, 101, 171, 181, 527, 65, 2387, 6629, 6089, 17387, 46551, 36143, 0};
static int joe_kuo_d6_initial_number06148[] = {1, 1, 5, 1, 13, 51, 21, 251, 139, 429, 1993, 3767, 1089, 5459, 19407, 41747, 41033, 0};
static int joe_kuo_d6_initial_number06149[] = {1, 1, 1, 11, 15, 9, 81, 91, 73, 969, 1513, 2067, 7959, 2605, 26641, 37631, 124571, 0};
static int joe_kuo_d6_initial_number06150[] = {1, 1, 3, 15, 29, 15, 5, 57, 247, 901, 527, 3325, 5859, 11299, 9871, 63947, 125247, 0};
static int joe_kuo_d6_initial_number06151[] = {1, 3, 1, 5, 1, 35, 75, 21, 307, 43, 1111, 3299, 1647, 3585, 31045, 18217, 95169, 0};
static int joe_kuo_d6_initial_number06152[] = {1, 3, 1, 7, 23, 35, 11, 103, 3, 461, 1915, 4019, 453, 13111, 26941, 43091, 22917, 0};
static int joe_kuo_d6_initial_number06153[] = {1, 1, 5, 5, 1, 61, 121, 167, 475, 5, 1749, 887, 2237, 5055, 7077, 29453, 17691, 0};
static int joe_kuo_d6_initial_number06154[] = {1, 3, 3, 15, 15, 15, 9, 15, 171, 787, 1965, 577, 4507, 7325, 20901, 8557, 111909, 0};
static int joe_kuo_d6_initial_number06155[] = {1, 3, 5, 1, 27, 15, 123, 141, 63, 55, 599, 4095, 1245, 13919, 27485, 49977, 74551, 0};
static int joe_kuo_d6_initial_number06156[] = {1, 3, 5, 9, 21, 61, 79, 119, 7, 573, 1923, 2775, 3127, 12689, 12135, 53429, 130163, 0};
static int joe_kuo_d6_initial_number06157[] = {1, 3, 3, 13, 27, 41, 67, 249, 447, 277, 311, 775, 8187, 10161, 12953, 22885, 121247, 0};
static int joe_kuo_d6_initial_number06158[] = {1, 3, 5, 9, 21, 55, 115, 65, 45, 395, 481, 2063, 6493, 4199, 19219, 27119, 62255, 0};
static int joe_kuo_d6_initial_number06159[] = {1, 1, 3, 13, 7, 41, 3, 127, 383, 923, 1725, 1033, 7731, 11971, 3089, 46459, 98369, 0};
static int joe_kuo_d6_initial_number06160[] = {1, 1, 3, 11, 13, 39, 39, 149, 309, 311, 1491, 807, 2109, 363, 14637, 65429, 124731, 0};
static int joe_kuo_d6_initial_number06161[] = {1, 1, 7, 13, 13, 35, 67, 81, 493, 859, 1177, 237, 4605, 15319, 16669, 16661, 21385, 0};
static int joe_kuo_d6_initial_number06162[] = {1, 1, 3, 7, 7, 39, 57, 103, 239, 753, 221, 1611, 1557, 13317, 27453, 10245, 33839, 0};
static int joe_kuo_d6_initial_number06163[] = {1, 1, 5, 13, 27, 53, 97, 41, 123, 253, 535, 1839, 5827, 7587, 1261, 20313, 65961, 0};
static int joe_kuo_d6_initial_number06164[] = {1, 1, 7, 1, 11, 47, 93, 135, 223, 591, 1087, 3329, 3293, 14207, 6187, 54789, 23781, 0};
static int joe_kuo_d6_initial_number06165[] = {1, 3, 7, 7, 25, 21, 97, 105, 269, 515, 1805, 3711, 3295, 7307, 21065, 65205, 116969, 0};
static int joe_kuo_d6_initial_number06166[] = {1, 3, 1, 11, 25, 37, 21, 89, 109, 581, 1055, 2393, 1291, 1115, 25545, 36383, 93605, 0};
static int joe_kuo_d6_initial_number06167[] = {1, 3, 7, 1, 27, 13, 113, 11, 395, 473, 943, 4045, 5507, 15051, 25203, 2971, 31961, 0};
static int joe_kuo_d6_initial_number06168[] = {1, 1, 5, 5, 27, 35, 57, 219, 67, 949, 659, 203, 5235, 6509, 13731, 61533, 54963, 0};
static int joe_kuo_d6_initial_number06169[] = {1, 3, 1, 1, 15, 39, 85, 13, 347, 99, 25, 3595, 3081, 13617, 14373, 58909, 102181, 0};
static int joe_kuo_d6_initial_number06170[] = {1, 1, 7, 13, 3, 25, 97, 91, 287, 389, 665, 2981, 2301, 12625, 4495, 57489, 68677, 0};
static int joe_kuo_d6_initial_number06171[] = {1, 1, 5, 1, 15, 57, 77, 55, 299, 713, 1457, 3699, 2807, 5549, 467, 47367, 8163, 0};
static int joe_kuo_d6_initial_number06172[] = {1, 1, 7, 3, 23, 45, 91, 251, 501, 193, 1121, 2359, 4781, 12797, 13713, 55171, 927, 0};
static int joe_kuo_d6_initial_number06173[] = {1, 3, 3, 7, 7, 31, 87, 163, 249, 163, 937, 1293, 4827, 10299, 31935, 58787, 80589, 0};
static int joe_kuo_d6_initial_number06174[] = {1, 3, 1, 9, 7, 1, 73, 65, 475, 791, 1429, 3319, 7149, 433, 10373, 44061, 121195, 0};
static int joe_kuo_d6_initial_number06175[] = {1, 1, 5, 9, 9, 61, 27, 249, 435, 437, 1329, 2163, 5859, 13663, 623, 55569, 94283, 0};
static int joe_kuo_d6_initial_number06176[] = {1, 3, 7, 11, 1, 29, 117, 195, 399, 999, 1705, 1325, 6043, 9823, 27335, 30377, 16627, 0};
static int joe_kuo_d6_initial_number06177[] = {1, 1, 1, 15, 5, 11, 63, 185, 15, 741, 1061, 2961, 3455, 5, 26587, 54081, 18107, 0};
static int joe_kuo_d6_initial_number06178[] = {1, 1, 5, 7, 29, 57, 17, 203, 501, 177, 49, 2773, 8069, 12513, 14437, 64489, 58661, 0};
static int joe_kuo_d6_initial_number06179[] = {1, 3, 3, 9, 11, 23, 121, 3, 415, 447, 1773, 135, 5901, 4951, 2683, 437, 126251, 0};
static int joe_kuo_d6_initial_number06180[] = {1, 3, 3, 1, 7, 23, 17, 23, 115, 591, 1075, 3133, 49, 15183, 10615, 37857, 122609, 0};
static int joe_kuo_d6_initial_number06181[] = {1, 1, 3, 3, 13, 49, 63, 37, 275, 763, 1135, 2913, 1563, 11037, 6693, 18799, 32089, 0};
static int joe_kuo_d6_initial_number06182[] = {1, 3, 5, 11, 7, 29, 59, 45, 227, 941, 1947, 2733, 797, 10485, 7071, 14741, 11451, 0};
static int joe_kuo_d6_initial_number06183[] = {1, 1, 1, 9, 21, 19, 77, 97, 75, 991, 187, 1003, 5619, 11013, 3931, 19907, 79723, 0};
static int joe_kuo_d6_initial_number06184[] = {1, 1, 7, 13, 1, 57, 61, 177, 443, 227, 1347, 2665, 2011, 12329, 14137, 37795, 63331, 0};
static int joe_kuo_d6_initial_number06185[] = {1, 3, 3, 9, 31, 59, 87, 93, 485, 635, 901, 1845, 6153, 10797, 1289, 8989, 41717, 0};
static int joe_kuo_d6_initial_number06186[] = {1, 1, 1, 1, 3, 7, 85, 17, 67, 309, 1891, 435, 303, 8011, 32127, 54309, 21457, 0};
static int joe_kuo_d6_initial_number06187[] = {1, 3, 7, 1, 29, 27, 41, 239, 293, 717, 1331, 917, 6145, 7131, 28199, 35093, 103683, 0};
static int joe_kuo_d6_initial_number06188[] = {1, 3, 7, 3, 21, 63, 65, 233, 257, 789, 1095, 505, 4557, 16259, 7397, 24815, 89529, 0};
static int joe_kuo_d6_initial_number06189[] = {1, 3, 3, 11, 29, 41, 55, 17, 335, 715, 779, 2121, 6393, 8887, 32753, 45647, 82665, 0};
static int joe_kuo_d6_initial_number06190[] = {1, 1, 1, 11, 27, 47, 71, 13, 141, 283, 967, 3359, 4309, 6661, 20481, 23175, 50835, 0};
static int joe_kuo_d6_initial_number06191[] = {1, 3, 3, 7, 3, 25, 19, 241, 409, 573, 1565, 3355, 1307, 12205, 18017, 8271, 117007, 0};
static int joe_kuo_d6_initial_number06192[] = {1, 3, 3, 9, 21, 39, 21, 253, 439, 963, 341, 3637, 2275, 1845, 11015, 481, 83369, 0};
static int joe_kuo_d6_initial_number06193[] = {1, 3, 7, 9, 31, 29, 29, 163, 111, 983, 571, 713, 2621, 11569, 13341, 28341, 130381, 0};
static int joe_kuo_d6_initial_number06194[] = {1, 3, 7, 7, 11, 35, 89, 49, 81, 115, 113, 1857, 3527, 14819, 6909, 14659, 23557, 0};
static int joe_kuo_d6_initial_number06195[] = {1, 3, 3, 15, 29, 41, 85, 241, 317, 737, 213, 1667, 5789, 16321, 13991, 36165, 124151, 0};
static int joe_kuo_d6_initial_number06196[] = {1, 3, 1, 3, 31, 1, 75, 99, 495, 241, 1499, 1535, 2033, 2135, 6699, 58893, 37031, 0};
static int joe_kuo_d6_initial_number06197[] = {1, 1, 7, 9, 25, 15, 101, 23, 477, 563, 1691, 2655, 2321, 2323, 4255, 22055, 99661, 0};
static int joe_kuo_d6_initial_number06198[] = {1, 3, 7, 5, 7, 7, 49, 221, 51, 83, 279, 2205, 2939, 2119, 14073, 32839, 108075, 0};
static int joe_kuo_d6_initial_number06199[] = {1, 3, 5, 11, 17, 39, 3, 127, 87, 501, 799, 401, 4439, 9895, 13017, 64975, 67177, 0};
static int joe_kuo_d6_initial_number06200[] = {1, 3, 3, 9, 17, 41, 59, 95, 283, 309, 83, 1293, 6385, 5783, 30115, 33997, 12531, 0};
static int joe_kuo_d6_initial_number06201[] = {1, 3, 5, 3, 7, 31, 69, 171, 225, 409, 1237, 3343, 835, 8039, 16723, 37203, 129047, 0};
static int joe_kuo_d6_initial_number06202[] = {1, 3, 3, 15, 17, 23, 107, 1, 105, 135, 1245, 993, 4101, 7325, 7425, 17379, 98121, 0};
static int joe_kuo_d6_initial_number06203[] = {1, 1, 7, 9, 27, 5, 67, 111, 75, 531, 243, 2239, 2527, 4513, 27059, 40533, 88169, 0};
static int joe_kuo_d6_initial_number06204[] = {1, 3, 5, 7, 21, 63, 57, 15, 75, 679, 1729, 1845, 6259, 8531, 18691, 49321, 101599, 0};
static int joe_kuo_d6_initial_number06205[] = {1, 1, 5, 9, 3, 35, 7, 201, 351, 885, 669, 2339, 5009, 279, 26469, 54597, 67933, 0};
static int joe_kuo_d6_initial_number06206[] = {1, 3, 5, 13, 27, 5, 85, 161, 141, 733, 1017, 2021, 6951, 15595, 21817, 17243, 88607, 0};
static int joe_kuo_d6_initial_number06207[] = {1, 3, 5, 1, 11, 31, 117, 97, 175, 629, 995, 1207, 2941, 5825, 5319, 48191, 9505, 0};
static int joe_kuo_d6_initial_number06208[] = {1, 3, 3, 7, 25, 39, 45, 79, 21, 607, 1593, 1749, 7951, 10425, 17491, 16617, 56903, 0};
static int joe_kuo_d6_initial_number06209[] = {1, 1, 1, 5, 15, 41, 107, 115, 79, 693, 919, 3513, 6793, 6541, 5545, 58583, 27963, 0};
static int joe_kuo_d6_initial_number06210[] = {1, 3, 7, 11, 21, 19, 123, 1, 441, 531, 359, 2117, 2465, 11389, 13489, 32755, 4577, 0};
static int joe_kuo_d6_initial_number06211[] = {1, 1, 5, 13, 7, 7, 7, 127, 201, 377, 1423, 269, 2611, 3339, 19153, 25659, 33069, 0};
static int joe_kuo_d6_initial_number06212[] = {1, 3, 7, 1, 13, 35, 45, 5, 313, 739, 1779, 2983, 1815, 8817, 14239, 3921, 57975, 0};
static int joe_kuo_d6_initial_number06213[] = {1, 3, 1, 11, 9, 39, 33, 111, 39, 255, 159, 2345, 2193, 11475, 12841, 47579, 90309, 0};
static int joe_kuo_d6_initial_number06214[] = {1, 1, 1, 3, 27, 49, 85, 157, 243, 247, 1473, 323, 4631, 1787, 15193, 5533, 104999, 0};
static int joe_kuo_d6_initial_number06215[] = {1, 1, 7, 9, 11, 29, 23, 219, 57, 339, 1797, 409, 6025, 10569, 27409, 15147, 130281, 0};
static int joe_kuo_d6_initial_number06216[] = {1, 1, 7, 1, 31, 31, 113, 229, 63, 877, 319, 2655, 3335, 7743, 19593, 10089, 28215, 0};
static int joe_kuo_d6_initial_number06217[] = {1, 1, 3, 11, 23, 3, 71, 235, 329, 751, 159, 2579, 5363, 12681, 20233, 53855, 16407, 0};
static int joe_kuo_d6_initial_number06218[] = {1, 1, 5, 1, 7, 61, 21, 235, 379, 849, 61, 2969, 6399, 2655, 21635, 16955, 58675, 0};
static int joe_kuo_d6_initial_number06219[] = {1, 3, 7, 7, 29, 15, 5, 11, 143, 699, 1875, 2115, 6633, 6195, 5829, 53633, 111221, 0};
static int joe_kuo_d6_initial_number06220[] = {1, 3, 7, 11, 19, 41, 17, 219, 483, 829, 1233, 3183, 6283, 2363, 25245, 63075, 82733, 0};
static int joe_kuo_d6_initial_number06221[] = {1, 3, 7, 13, 21, 17, 1, 207, 443, 575, 521, 2585, 6875, 14871, 14739, 10211, 127435, 0};
static int joe_kuo_d6_initial_number06222[] = {1, 3, 7, 7, 15, 39, 99, 197, 219, 259, 1723, 3737, 6625, 849, 887, 41293, 53825, 0};
static int joe_kuo_d6_initial_number06223[] = {1, 3, 3, 3, 5, 3, 75, 155, 189, 935, 85, 2273, 1375, 4217, 10709, 58047, 81689, 0};
static int joe_kuo_d6_initial_number06224[] = {1, 3, 5, 5, 27, 27, 107, 229, 179, 887, 91, 421, 7313, 6495, 451, 43859, 40033, 0};
static int joe_kuo_d6_initial_number06225[] = {1, 3, 5, 11, 25, 49, 121, 73, 169, 311, 1387, 1037, 6519, 9317, 26975, 50627, 46805, 0};
static int joe_kuo_d6_initial_number06226[] = {1, 1, 5, 11, 17, 21, 19, 125, 387, 697, 1017, 1759, 7295, 9869, 28241, 9367, 119255, 0};
static int joe_kuo_d6_initial_number06227[] = {1, 1, 7, 5, 29, 27, 87, 187, 95, 625, 933, 1751, 5253, 313, 30841, 16349, 67347, 0};
static int joe_kuo_d6_initial_number06228[] = {1, 1, 3, 3, 15, 51, 23, 101, 183, 267, 243, 711, 983, 12461, 17801, 1429, 47273, 0};
static int joe_kuo_d6_initial_number06229[] = {1, 1, 1, 3, 17, 3, 73, 67, 49, 449, 879, 2559, 401, 11983, 13697, 12023, 78855, 0};
static int joe_kuo_d6_initial_number06230[] = {1, 3, 7, 15, 25, 25, 43, 81, 141, 161, 595, 621, 1165, 10869, 22875, 6741, 90017, 0};
static int joe_kuo_d6_initial_number06231[] = {1, 3, 5, 11, 13, 57, 53, 219, 145, 937, 769, 1961, 4725, 3335, 12623, 8335, 46305, 0};
static int joe_kuo_d6_initial_number06232[] = {1, 1, 3, 5, 7, 39, 19, 101, 313, 583, 483, 2515, 125, 5211, 2559, 11937, 126717, 0};
static int joe_kuo_d6_initial_number06233[] = {1, 3, 1, 7, 7, 1, 117, 49, 231, 133, 381, 697, 927, 8263, 26529, 64881, 25059, 0};
static int joe_kuo_d6_initial_number06234[] = {1, 1, 1, 15, 11, 25, 77, 149, 233, 215, 1239, 3045, 99, 11183, 30279, 32271, 100943, 0};
static int joe_kuo_d6_initial_number06235[] = {1, 1, 5, 7, 31, 25, 1, 51, 221, 607, 1733, 2145, 6765, 7011, 16927, 29257, 2445, 0};
static int joe_kuo_d6_initial_number06236[] = {1, 3, 5, 1, 19, 23, 123, 93, 381, 295, 765, 2335, 8025, 14003, 4801, 54243, 57297, 0};
static int joe_kuo_d6_initial_number06237[] = {1, 1, 7, 9, 9, 31, 63, 191, 495, 527, 251, 2119, 1663, 209, 7445, 1441, 4075, 0};
static int joe_kuo_d6_initial_number06238[] = {1, 3, 5, 5, 13, 17, 97, 79, 369, 55, 677, 2031, 7315, 4769, 31659, 21975, 22061, 0};
static int joe_kuo_d6_initial_number06239[] = {1, 3, 3, 7, 3, 63, 121, 243, 39, 917, 1917, 297, 7241, 1565, 31675, 14443, 67239, 0};
static int joe_kuo_d6_initial_number06240[] = {1, 3, 7, 1, 13, 25, 51, 65, 145, 475, 1853, 4023, 5121, 14411, 15993, 42165, 13615, 0};
static int joe_kuo_d6_initial_number06241[] = {1, 3, 3, 1, 3, 51, 75, 29, 169, 311, 1309, 2929, 7669, 1507, 14605, 32667, 103861, 0};
static int joe_kuo_d6_initial_number06242[] = {1, 3, 7, 1, 23, 37, 89, 211, 137, 495, 1469, 3425, 1167, 12429, 27301, 46857, 83007, 0};
static int joe_kuo_d6_initial_number06243[] = {1, 3, 7, 7, 27, 37, 33, 129, 73, 23, 761, 119, 6217, 4749, 20835, 47477, 33665, 0};
static int joe_kuo_d6_initial_number06244[] = {1, 1, 3, 5, 29, 35, 79, 21, 183, 933, 43, 3149, 5273, 12159, 20695, 5387, 23569, 0};
static int joe_kuo_d6_initial_number06245[] = {1, 1, 5, 5, 3, 11, 57, 205, 349, 657, 1509, 3693, 5495, 11865, 13861, 62215, 94141, 0};
static int joe_kuo_d6_initial_number06246[] = {1, 3, 1, 7, 17, 43, 117, 119, 75, 849, 1247, 643, 2691, 2289, 9759, 18683, 68649, 0};
static int joe_kuo_d6_initial_number06247[] = {1, 1, 1, 15, 5, 55, 89, 177, 427, 701, 735, 2993, 5293, 15395, 567, 5501, 102393, 0};
static int joe_kuo_d6_initial_number06248[] = {1, 3, 3, 15, 5, 37, 73, 111, 9, 141, 407, 1579, 6691, 11843, 6377, 64181, 97347, 0};
static int joe_kuo_d6_initial_number06249[] = {1, 1, 5, 1, 9, 17, 71, 127, 285, 929, 1243, 2605, 359, 14589, 32603, 39879, 115901, 0};
static int joe_kuo_d6_initial_number06250[] = {1, 3, 7, 15, 3, 27, 91, 121, 47, 631, 1589, 385, 5997, 14077, 21285, 33895, 36985, 0};
static int joe_kuo_d6_initial_number06251[] = {1, 3, 3, 9, 1, 47, 89, 79, 213, 27, 547, 1703, 4035, 13205, 4341, 21895, 34247, 0};
static int joe_kuo_d6_initial_number06252[] = {1, 3, 5, 7, 9, 9, 47, 89, 231, 857, 297, 2949, 2715, 1275, 14427, 20227, 21569, 0};
static int joe_kuo_d6_initial_number06253[] = {1, 3, 1, 3, 15, 57, 61, 183, 377, 477, 1135, 1729, 2863, 8607, 29241, 34983, 84443, 0};
static int joe_kuo_d6_initial_number06254[] = {1, 1, 7, 7, 5, 53, 91, 149, 71, 41, 1025, 3945, 3989, 15853, 20903, 26943, 99841, 0};
static int joe_kuo_d6_initial_number06255[] = {1, 3, 3, 3, 29, 21, 59, 217, 483, 257, 331, 657, 2935, 945, 9821, 42501, 98087, 0};
static int joe_kuo_d6_initial_number06256[] = {1, 3, 5, 3, 17, 39, 123, 103, 109, 957, 853, 3821, 555, 10869, 27673, 38315, 83105, 0};
static int joe_kuo_d6_initial_number06257[] = {1, 3, 1, 3, 27, 7, 97, 57, 429, 53, 1791, 1405, 4113, 8435, 12845, 21567, 91559, 0};
static int joe_kuo_d6_initial_number06258[] = {1, 3, 3, 1, 17, 61, 125, 77, 225, 395, 945, 3213, 1363, 15947, 27049, 4389, 64037, 0};
static int joe_kuo_d6_initial_number06259[] = {1, 1, 1, 3, 15, 51, 15, 189, 449, 989, 939, 985, 6929, 13779, 25011, 22277, 72543, 0};
static int joe_kuo_d6_initial_number06260[] = {1, 3, 3, 1, 25, 53, 5, 219, 195, 703, 163, 1405, 821, 6797, 14329, 1675, 96653, 0};
static int joe_kuo_d6_initial_number06261[] = {1, 1, 7, 13, 7, 1, 45, 135, 369, 125, 711, 2509, 131, 13663, 29769, 19497, 116779, 0};
static int joe_kuo_d6_initial_number06262[] = {1, 1, 7, 15, 23, 25, 7, 225, 435, 835, 1981, 2537, 5727, 15961, 30089, 58905, 100339, 0};
static int joe_kuo_d6_initial_number06263[] = {1, 3, 7, 3, 19, 9, 79, 63, 371, 419, 1357, 3649, 7987, 14541, 6631, 50555, 84217, 0};
static int joe_kuo_d6_initial_number06264[] = {1, 3, 3, 9, 7, 61, 11, 157, 99, 95, 945, 2803, 1703, 117, 12891, 21817, 84259, 0};
static int joe_kuo_d6_initial_number06265[] = {1, 3, 7, 7, 25, 37, 111, 99, 65, 599, 1313, 2557, 5489, 3625, 7429, 19309, 78111, 0};
static int joe_kuo_d6_initial_number06266[] = {1, 3, 1, 1, 19, 15, 85, 253, 347, 315, 1349, 983, 2507, 4155, 15311, 43535, 101409, 0};
static int joe_kuo_d6_initial_number06267[] = {1, 3, 3, 3, 1, 55, 3, 57, 375, 107, 177, 1673, 6871, 7137, 10297, 65363, 42293, 0};
static int joe_kuo_d6_initial_number06268[] = {1, 1, 1, 3, 9, 5, 83, 45, 139, 893, 63, 2859, 6333, 15591, 18491, 26387, 25573, 0};
static int joe_kuo_d6_initial_number06269[] = {1, 1, 7, 15, 1, 39, 113, 127, 503, 617, 1367, 1855, 185, 4233, 5787, 8265, 42097, 0};
static int joe_kuo_d6_initial_number06270[] = {1, 1, 3, 11, 11, 41, 119, 165, 331, 625, 81, 2495, 7247, 9139, 15269, 31447, 128425, 0};
static int joe_kuo_d6_initial_number06271[] = {1, 1, 5, 5, 17, 35, 39, 1, 91, 563, 1841, 2975, 1233, 3837, 22145, 36719, 104503, 0};
static int joe_kuo_d6_initial_number06272[] = {1, 1, 7, 3, 23, 35, 77, 69, 271, 487, 921, 2597, 8011, 13037, 6001, 20519, 32673, 0};
static int joe_kuo_d6_initial_number06273[] = {1, 1, 1, 1, 29, 17, 11, 145, 473, 877, 813, 727, 6805, 3563, 13371, 22169, 17239, 0};
static int joe_kuo_d6_initial_number06274[] = {1, 1, 1, 13, 17, 13, 1, 125, 313, 423, 1079, 2401, 2325, 2219, 24071, 25613, 34163, 0};
static int joe_kuo_d6_initial_number06275[] = {1, 1, 5, 7, 29, 33, 53, 215, 11, 555, 555, 1965, 3643, 5433, 12923, 59655, 25339, 0};
static int joe_kuo_d6_initial_number06276[] = {1, 3, 3, 3, 23, 37, 119, 117, 459, 359, 1849, 1019, 433, 15391, 5625, 52649, 81313, 0};
static int joe_kuo_d6_initial_number06277[] = {1, 3, 3, 1, 21, 31, 121, 161, 113, 667, 863, 105, 3805, 14459, 28235, 24543, 89755, 0};
static int joe_kuo_d6_initial_number06278[] = {1, 1, 5, 15, 17, 37, 15, 111, 511, 477, 611, 955, 2591, 16137, 14179, 30995, 129575, 0};
static int joe_kuo_d6_initial_number06279[] = {1, 3, 3, 3, 21, 49, 25, 37, 287, 263, 851, 1015, 8133, 9429, 10959, 64483, 82533, 0};
static int joe_kuo_d6_initial_number06280[] = {1, 1, 5, 1, 25, 19, 49, 159, 155, 443, 975, 1413, 321, 7871, 22935, 57303, 124027, 0};
static int joe_kuo_d6_initial_number06281[] = {1, 3, 1, 1, 19, 45, 47, 89, 409, 509, 1249, 2445, 2053, 3781, 7517, 61869, 125137, 0};
static int joe_kuo_d6_initial_number06282[] = {1, 1, 5, 13, 27, 57, 45, 43, 361, 329, 1321, 771, 4665, 12245, 18993, 15121, 127485, 0};
static int joe_kuo_d6_initial_number06283[] = {1, 3, 3, 7, 3, 41, 127, 75, 485, 821, 497, 2649, 6423, 12419, 31421, 9441, 63645, 0};
static int joe_kuo_d6_initial_number06284[] = {1, 1, 3, 5, 19, 61, 91, 35, 311, 287, 449, 3955, 5805, 5631, 25613, 55409, 104545, 0};
static int joe_kuo_d6_initial_number06285[] = {1, 3, 7, 11, 27, 19, 27, 53, 19, 35, 1687, 3923, 3379, 10435, 15053, 12343, 89077, 0};
static int joe_kuo_d6_initial_number06286[] = {1, 3, 5, 13, 31, 41, 15, 239, 349, 533, 1771, 737, 6503, 14355, 18781, 27805, 79049, 0};
static int joe_kuo_d6_initial_number06287[] = {1, 3, 1, 3, 13, 11, 69, 227, 169, 873, 533, 2217, 1047, 12415, 12271, 22447, 14163, 0};
static int joe_kuo_d6_initial_number06288[] = {1, 1, 3, 9, 7, 31, 23, 155, 133, 305, 1569, 521, 201, 10339, 16999, 29163, 32817, 0};
static int joe_kuo_d6_initial_number06289[] = {1, 1, 1, 5, 31, 57, 43, 223, 121, 803, 357, 1855, 4321, 10245, 25725, 2543, 47395, 0};
static int joe_kuo_d6_initial_number06290[] = {1, 3, 5, 9, 3, 5, 47, 189, 217, 899, 1455, 691, 1277, 7861, 3627, 14895, 41109, 0};
static int joe_kuo_d6_initial_number06291[] = {1, 3, 7, 3, 29, 9, 37, 63, 453, 709, 921, 771, 8069, 239, 22639, 59937, 10635, 0};
static int joe_kuo_d6_initial_number06292[] = {1, 3, 7, 1, 11, 51, 79, 131, 225, 757, 549, 1605, 3921, 1849, 16307, 29809, 120597, 0};
static int joe_kuo_d6_initial_number06293[] = {1, 3, 7, 7, 1, 45, 33, 185, 23, 881, 1941, 4093, 4741, 11633, 2059, 32007, 11103, 0};
static int joe_kuo_d6_initial_number06294[] = {1, 3, 5, 11, 17, 21, 43, 205, 363, 559, 697, 4057, 631, 6697, 883, 61705, 102791, 0};
static int joe_kuo_d6_initial_number06295[] = {1, 1, 7, 9, 29, 35, 109, 85, 373, 321, 415, 2969, 6163, 6999, 9999, 36435, 125267, 0};
static int joe_kuo_d6_initial_number06296[] = {1, 1, 7, 11, 25, 9, 113, 91, 337, 889, 947, 2093, 5289, 1367, 13297, 36155, 21825, 0};
static int joe_kuo_d6_initial_number06297[] = {1, 1, 3, 9, 17, 25, 35, 79, 275, 687, 335, 1181, 7327, 3729, 1561, 27441, 114355, 0};
static int joe_kuo_d6_initial_number06298[] = {1, 3, 3, 11, 25, 41, 27, 89, 115, 361, 871, 1497, 5735, 6365, 1737, 14277, 63847, 0};
static int joe_kuo_d6_initial_number06299[] = {1, 3, 7, 7, 1, 63, 31, 73, 289, 67, 277, 1821, 4883, 10795, 11755, 15471, 105871, 0};
static int joe_kuo_d6_initial_number06300[] = {1, 3, 7, 9, 23, 17, 37, 179, 409, 957, 373, 2393, 2363, 6735, 28737, 41927, 115735, 0};
static int joe_kuo_d6_initial_number06301[] = {1, 1, 3, 9, 15, 43, 111, 61, 455, 181, 1643, 3063, 4311, 13705, 29993, 21731, 25243, 0};
static int joe_kuo_d6_initial_number06302[] = {1, 1, 1, 15, 13, 13, 69, 187, 91, 395, 209, 3477, 4649, 7727, 30557, 14719, 1953, 0};
static int joe_kuo_d6_initial_number06303[] = {1, 1, 1, 15, 9, 39, 119, 193, 459, 135, 567, 25, 4583, 8401, 22161, 14771, 74165, 0};
static int joe_kuo_d6_initial_number06304[] = {1, 1, 3, 7, 5, 39, 77, 149, 293, 585, 1245, 3615, 357, 11613, 13865, 40227, 41023, 0};
static int joe_kuo_d6_initial_number06305[] = {1, 1, 7, 9, 9, 37, 5, 177, 121, 181, 771, 733, 7683, 4855, 13629, 8349, 46137, 0};
static int joe_kuo_d6_initial_number06306[] = {1, 1, 3, 13, 3, 37, 73, 69, 281, 109, 563, 1427, 5127, 8957, 16749, 41489, 49531, 0};
static int joe_kuo_d6_initial_number06307[] = {1, 1, 7, 11, 29, 63, 79, 127, 95, 809, 1175, 1567, 6353, 7505, 26551, 5073, 53733, 0};
static int joe_kuo_d6_initial_number06308[] = {1, 1, 1, 5, 25, 41, 59, 103, 59, 365, 1111, 3909, 3749, 14889, 3639, 10435, 45407, 0};
static int joe_kuo_d6_initial_number06309[] = {1, 1, 1, 5, 3, 61, 93, 199, 97, 779, 67, 241, 6197, 6785, 16869, 7573, 46745, 0};
static int joe_kuo_d6_initial_number06310[] = {1, 1, 5, 9, 27, 29, 21, 69, 165, 661, 1245, 1265, 2979, 9685, 17781, 23329, 48029, 0};
static int joe_kuo_d6_initial_number06311[] = {1, 1, 1, 7, 7, 23, 39, 197, 169, 561, 499, 2197, 4371, 157, 6837, 44635, 94861, 0};
static int joe_kuo_d6_initial_number06312[] = {1, 1, 5, 13, 7, 5, 9, 207, 321, 243, 899, 2967, 3553, 15413, 8961, 55039, 6459, 0};
static int joe_kuo_d6_initial_number06313[] = {1, 3, 5, 3, 13, 25, 33, 145, 45, 979, 33, 2211, 7003, 11147, 11327, 55151, 30697, 0};
static int joe_kuo_d6_initial_number06314[] = {1, 1, 3, 13, 7, 51, 25, 229, 231, 115, 1815, 3867, 1533, 15259, 8067, 64803, 87535, 0};
static int joe_kuo_d6_initial_number06315[] = {1, 1, 3, 3, 21, 51, 101, 49, 227, 393, 1659, 955, 545, 7395, 31563, 5499, 130541, 0};
static int joe_kuo_d6_initial_number06316[] = {1, 3, 1, 1, 21, 41, 57, 161, 269, 35, 893, 1817, 857, 7027, 973, 12529, 46659, 0};
static int joe_kuo_d6_initial_number06317[] = {1, 1, 3, 7, 17, 35, 23, 29, 335, 725, 453, 1051, 6019, 7595, 29451, 1853, 116615, 0};
static int joe_kuo_d6_initial_number06318[] = {1, 3, 3, 1, 3, 55, 73, 187, 213, 329, 997, 703, 5829, 7903, 1081, 33359, 119123, 0};
static int joe_kuo_d6_initial_number06319[] = {1, 3, 3, 15, 29, 55, 15, 17, 245, 117, 1735, 767, 4457, 8803, 17621, 26925, 72487, 0};
static int joe_kuo_d6_initial_number06320[] = {1, 3, 5, 3, 25, 7, 119, 139, 159, 199, 317, 3875, 8115, 7581, 29239, 50225, 48459, 0};
static int joe_kuo_d6_initial_number06321[] = {1, 3, 7, 11, 11, 41, 107, 225, 395, 545, 259, 2379, 6709, 11669, 14545, 43663, 69979, 0};
static int joe_kuo_d6_initial_number06322[] = {1, 3, 5, 13, 23, 45, 73, 137, 447, 305, 117, 2659, 7989, 233, 31991, 60495, 571, 0};
static int joe_kuo_d6_initial_number06323[] = {1, 3, 7, 9, 1, 37, 31, 1, 433, 701, 159, 3811, 4529, 6697, 7121, 31107, 61555, 0};
static int joe_kuo_d6_initial_number06324[] = {1, 3, 5, 5, 13, 21, 81, 63, 95, 741, 1189, 1567, 1223, 12371, 28435, 10537, 53785, 0};
static int joe_kuo_d6_initial_number06325[] = {1, 1, 1, 11, 17, 31, 67, 121, 281, 593, 561, 1759, 387, 9639, 28595, 22473, 4935, 0};
static int joe_kuo_d6_initial_number06326[] = {1, 3, 7, 3, 5, 43, 59, 151, 351, 263, 297, 423, 1681, 3785, 15171, 7145, 57531, 0};
static int joe_kuo_d6_initial_number06327[] = {1, 3, 7, 15, 9, 35, 105, 189, 261, 175, 1669, 1289, 5401, 12801, 19585, 48169, 93195, 0};
static int joe_kuo_d6_initial_number06328[] = {1, 1, 7, 1, 31, 41, 23, 237, 151, 549, 1079, 2933, 5509, 15593, 1791, 15757, 44607, 0};
static int joe_kuo_d6_initial_number06329[] = {1, 1, 1, 3, 29, 1, 59, 115, 13, 999, 1179, 3561, 2749, 10059, 12861, 6797, 11793, 0};
static int joe_kuo_d6_initial_number06330[] = {1, 3, 3, 7, 11, 5, 23, 217, 101, 775, 1497, 4047, 2427, 5117, 9683, 28895, 27557, 0};
static int joe_kuo_d6_initial_number06331[] = {1, 3, 7, 5, 31, 55, 99, 65, 55, 587, 1271, 2277, 7947, 12995, 13149, 4463, 37625, 0};
static int joe_kuo_d6_initial_number06332[] = {1, 1, 7, 11, 3, 63, 23, 191, 125, 365, 1153, 2657, 6763, 4557, 21643, 26885, 36753, 0};
static int joe_kuo_d6_initial_number06333[] = {1, 1, 1, 15, 25, 15, 111, 135, 507, 745, 1947, 2545, 4329, 14325, 8187, 52021, 63401, 0};
static int joe_kuo_d6_initial_number06334[] = {1, 1, 3, 3, 27, 25, 19, 211, 393, 467, 1015, 2495, 7135, 495, 10385, 26961, 49325, 0};
static int joe_kuo_d6_initial_number06335[] = {1, 1, 3, 5, 15, 35, 3, 203, 337, 337, 703, 1989, 6869, 6055, 21095, 4749, 125669, 0};
static int joe_kuo_d6_initial_number06336[] = {1, 1, 5, 1, 31, 39, 57, 101, 419, 717, 1489, 199, 5729, 3003, 2607, 64593, 11515, 0};
static int joe_kuo_d6_initial_number06337[] = {1, 3, 7, 13, 15, 3, 33, 61, 17, 433, 1097, 957, 5351, 3043, 3679, 44881, 126909, 0};
static int joe_kuo_d6_initial_number06338[] = {1, 1, 3, 11, 5, 1, 121, 175, 119, 367, 399, 2527, 2157, 2667, 31069, 24797, 119621, 0};
static int joe_kuo_d6_initial_number06339[] = {1, 3, 1, 7, 27, 47, 115, 229, 455, 775, 73, 837, 1181, 3457, 4057, 33907, 67151, 0};
static int joe_kuo_d6_initial_number06340[] = {1, 3, 3, 1, 7, 51, 71, 177, 463, 921, 393, 3137, 1225, 5709, 303, 20597, 77581, 0};
static int joe_kuo_d6_initial_number06341[] = {1, 3, 5, 3, 31, 1, 93, 53, 177, 433, 1471, 2191, 4471, 9211, 19397, 57727, 60367, 0};
static int joe_kuo_d6_initial_number06342[] = {1, 1, 3, 11, 29, 55, 121, 89, 67, 869, 1631, 2657, 7357, 7159, 22449, 16357, 20077, 0};
static int joe_kuo_d6_initial_number06343[] = {1, 3, 7, 15, 11, 39, 127, 63, 211, 359, 971, 1221, 1909, 9963, 7827, 60923, 98495, 0};
static int joe_kuo_d6_initial_number06344[] = {1, 1, 7, 9, 23, 47, 47, 85, 307, 471, 1287, 3825, 5451, 15151, 15647, 63043, 92443, 0};
static int joe_kuo_d6_initial_number06345[] = {1, 3, 7, 5, 19, 11, 11, 27, 307, 695, 99, 1037, 1997, 13673, 591, 8183, 82197, 0};
static int joe_kuo_d6_initial_number06346[] = {1, 3, 5, 5, 3, 53, 109, 227, 503, 855, 1269, 3903, 5049, 10647, 21751, 58707, 78311, 0};
static int joe_kuo_d6_initial_number06347[] = {1, 1, 3, 11, 31, 3, 51, 211, 285, 919, 487, 3393, 3463, 2271, 8053, 56791, 33763, 0};
static int joe_kuo_d6_initial_number06348[] = {1, 3, 3, 5, 21, 15, 5, 5, 327, 809, 915, 1365, 7323, 4247, 31603, 26261, 80389, 0};
static int joe_kuo_d6_initial_number06349[] = {1, 3, 7, 7, 15, 33, 31, 221, 291, 815, 1307, 929, 3249, 14573, 13613, 59509, 59741, 0};
static int joe_kuo_d6_initial_number06350[] = {1, 3, 7, 15, 19, 41, 61, 27, 353, 965, 1901, 87, 2669, 12757, 29723, 47165, 16521, 0};
static int joe_kuo_d6_initial_number06351[] = {1, 3, 5, 3, 11, 43, 97, 215, 361, 901, 1425, 4063, 5327, 14119, 457, 43145, 107401, 0};
static int joe_kuo_d6_initial_number06352[] = {1, 1, 3, 15, 19, 37, 101, 69, 131, 927, 897, 477, 7641, 4299, 21213, 26017, 123801, 0};
static int joe_kuo_d6_initial_number06353[] = {1, 3, 7, 7, 19, 5, 11, 51, 277, 985, 1071, 3437, 6595, 9547, 11855, 64249, 30957, 0};
static int joe_kuo_d6_initial_number06354[] = {1, 1, 7, 9, 21, 41, 89, 113, 61, 235, 685, 1419, 7619, 9863, 21221, 28685, 53409, 0};
static int joe_kuo_d6_initial_number06355[] = {1, 1, 1, 1, 27, 1, 19, 3, 473, 827, 269, 1659, 2621, 12347, 13359, 64687, 99293, 0};
static int joe_kuo_d6_initial_number06356[] = {1, 3, 7, 7, 29, 37, 61, 49, 215, 883, 625, 2671, 3743, 4517, 2075, 64865, 58611, 0};
static int joe_kuo_d6_initial_number06357[] = {1, 3, 3, 7, 15, 11, 35, 37, 255, 781, 613, 3587, 7643, 13081, 32467, 14427, 15235, 0};
static int joe_kuo_d6_initial_number06358[] = {1, 1, 1, 11, 31, 47, 107, 65, 489, 377, 425, 3453, 2901, 9999, 7687, 13311, 103947, 0};
static int joe_kuo_d6_initial_number06359[] = {1, 3, 3, 7, 9, 17, 7, 107, 33, 545, 407, 3335, 7563, 14315, 32725, 8483, 69093, 0};
static int joe_kuo_d6_initial_number06360[] = {1, 1, 1, 5, 17, 9, 87, 229, 417, 769, 423, 569, 7073, 8705, 24487, 63743, 69807, 0};
static int joe_kuo_d6_initial_number06361[] = {1, 3, 1, 9, 1, 29, 75, 25, 483, 259, 1941, 1533, 8147, 14127, 24087, 37475, 130961, 0};
static int joe_kuo_d6_initial_number06362[] = {1, 3, 3, 11, 15, 15, 51, 45, 215, 283, 1687, 185, 4521, 12205, 13041, 33283, 77007, 0};
static int joe_kuo_d6_initial_number06363[] = {1, 1, 3, 3, 5, 47, 107, 67, 325, 87, 1831, 2845, 1645, 1741, 10811, 8983, 58515, 0};
static int joe_kuo_d6_initial_number06364[] = {1, 3, 1, 13, 19, 17, 1, 151, 411, 915, 1739, 3781, 4939, 15767, 25897, 7205, 17285, 0};
static int joe_kuo_d6_initial_number06365[] = {1, 3, 5, 15, 19, 1, 125, 33, 321, 325, 639, 4013, 967, 4347, 19743, 13445, 61229, 0};
static int joe_kuo_d6_initial_number06366[] = {1, 3, 3, 13, 13, 37, 71, 85, 51, 775, 973, 739, 4341, 15707, 12221, 24321, 48073, 0};
static int joe_kuo_d6_initial_number06367[] = {1, 1, 7, 13, 15, 13, 9, 211, 331, 429, 1323, 3027, 1091, 13311, 289, 57789, 93261, 0};
static int joe_kuo_d6_initial_number06368[] = {1, 1, 1, 1, 27, 7, 13, 27, 67, 573, 455, 2353, 113, 11831, 9069, 4503, 89291, 0};
static int joe_kuo_d6_initial_number06369[] = {1, 1, 1, 7, 21, 63, 47, 39, 419, 991, 1623, 11, 3153, 12633, 9425, 65087, 44935, 0};
static int joe_kuo_d6_initial_number06370[] = {1, 3, 1, 7, 23, 11, 15, 11, 99, 543, 1739, 3955, 5883, 12469, 7529, 14177, 1945, 0};
static int joe_kuo_d6_initial_number06371[] = {1, 3, 1, 3, 5, 17, 31, 251, 387, 311, 725, 3827, 6835, 5065, 3141, 43441, 87955, 0};
static int joe_kuo_d6_initial_number06372[] = {1, 1, 1, 11, 25, 7, 75, 135, 67, 589, 889, 3429, 155, 9081, 28653, 8059, 57251, 0};
static int joe_kuo_d6_initial_number06373[] = {1, 3, 5, 15, 21, 15, 103, 149, 311, 407, 1391, 717, 1765, 14887, 14381, 37483, 29587, 0};
static int joe_kuo_d6_initial_number06374[] = {1, 3, 5, 5, 19, 31, 93, 5, 507, 193, 1735, 3841, 7895, 9853, 10317, 14867, 49529, 0};
static int joe_kuo_d6_initial_number06375[] = {1, 3, 7, 7, 19, 3, 99, 201, 479, 313, 693, 3435, 5453, 1157, 23127, 49005, 20167, 0};
static int joe_kuo_d6_initial_number06376[] = {1, 3, 7, 9, 15, 21, 123, 41, 19, 281, 1837, 2589, 1003, 1993, 18345, 10039, 89325, 0};
static int joe_kuo_d6_initial_number06377[] = {1, 3, 5, 1, 19, 21, 77, 151, 145, 951, 2017, 609, 5847, 4475, 12439, 6357, 108277, 0};
static int joe_kuo_d6_initial_number06378[] = {1, 1, 1, 9, 17, 21, 91, 91, 111, 951, 497, 1759, 503, 12787, 25117, 24323, 96447, 0};
static int joe_kuo_d6_initial_number06379[] = {1, 1, 3, 11, 13, 9, 73, 205, 329, 243, 1187, 829, 2821, 5563, 14391, 771, 116441, 0};
static int joe_kuo_d6_initial_number06380[] = {1, 1, 1, 1, 11, 57, 39, 221, 41, 521, 1541, 3515, 2367, 4179, 21039, 52943, 11627, 0};
static int joe_kuo_d6_initial_number06381[] = {1, 3, 3, 3, 23, 13, 103, 125, 67, 217, 863, 3755, 213, 12657, 31399, 3771, 54107, 0};
static int joe_kuo_d6_initial_number06382[] = {1, 3, 3, 7, 3, 9, 107, 217, 497, 935, 519, 3041, 323, 14895, 5695, 28789, 36085, 0};
static int joe_kuo_d6_initial_number06383[] = {1, 1, 5, 11, 23, 33, 81, 23, 167, 3, 1683, 2279, 5365, 847, 14717, 9689, 64481, 0};
static int joe_kuo_d6_initial_number06384[] = {1, 3, 1, 7, 1, 15, 107, 93, 429, 363, 1745, 1459, 5879, 8351, 17527, 44001, 70293, 0};
static int joe_kuo_d6_initial_number06385[] = {1, 3, 3, 9, 27, 55, 125, 211, 141, 827, 1239, 663, 4803, 11067, 32039, 28091, 56421, 0};
static int joe_kuo_d6_initial_number06386[] = {1, 3, 5, 5, 7, 13, 125, 231, 427, 483, 967, 549, 3105, 13919, 3017, 39207, 23253, 0};
static int joe_kuo_d6_initial_number06387[] = {1, 3, 7, 3, 21, 29, 79, 67, 39, 451, 157, 337, 3585, 3621, 9545, 31205, 63201, 0};
static int joe_kuo_d6_initial_number06388[] = {1, 3, 1, 1, 29, 25, 77, 57, 167, 899, 95, 2487, 3743, 5381, 3637, 56289, 39453, 0};
static int joe_kuo_d6_initial_number06389[] = {1, 1, 1, 9, 29, 19, 41, 97, 75, 199, 1709, 483, 4099, 3113, 10953, 20659, 109273, 0};
static int joe_kuo_d6_initial_number06390[] = {1, 3, 5, 15, 13, 9, 83, 43, 111, 789, 965, 4061, 1239, 14577, 10113, 26359, 52609, 0};
static int joe_kuo_d6_initial_number06391[] = {1, 3, 5, 5, 11, 39, 113, 31, 457, 119, 725, 831, 4143, 5675, 27431, 12431, 94977, 0};
static int joe_kuo_d6_initial_number06392[] = {1, 1, 3, 3, 25, 17, 93, 253, 307, 625, 143, 1061, 4415, 3563, 3313, 53527, 29537, 0};
static int joe_kuo_d6_initial_number06393[] = {1, 3, 5, 3, 29, 41, 43, 109, 147, 919, 1675, 465, 6101, 12251, 28915, 15397, 85233, 0};
static int joe_kuo_d6_initial_number06394[] = {1, 1, 1, 1, 31, 25, 59, 187, 439, 561, 559, 413, 1917, 9319, 27475, 49715, 32953, 0};
static int joe_kuo_d6_initial_number06395[] = {1, 1, 7, 13, 23, 31, 95, 231, 141, 207, 1373, 2173, 2905, 169, 23825, 55071, 6147, 0};
static int joe_kuo_d6_initial_number06396[] = {1, 1, 7, 13, 15, 39, 43, 117, 321, 297, 661, 2941, 7359, 11675, 15483, 24093, 7269, 0};
static int joe_kuo_d6_initial_number06397[] = {1, 3, 3, 13, 9, 59, 51, 49, 81, 563, 745, 1843, 295, 4689, 19847, 42137, 63197, 0};
static int joe_kuo_d6_initial_number06398[] = {1, 3, 1, 9, 5, 33, 21, 199, 509, 927, 1777, 1349, 3593, 1065, 24943, 55667, 73539, 0};
static int joe_kuo_d6_initial_number06399[] = {1, 3, 1, 11, 17, 15, 91, 21, 59, 587, 1207, 543, 6669, 10861, 24755, 1789, 91249, 0};
static int joe_kuo_d6_initial_number06400[] = {1, 3, 7, 15, 13, 47, 57, 147, 381, 1021, 921, 1347, 3847, 5969, 9075, 39081, 127241, 0};
static int joe_kuo_d6_initial_number06401[] = {1, 3, 3, 15, 19, 15, 1, 97, 203, 409, 1745, 1217, 2199, 7945, 24361, 41771, 123127, 0};
static int joe_kuo_d6_initial_number06402[] = {1, 3, 3, 5, 17, 17, 43, 255, 179, 717, 1993, 645, 6527, 1533, 32719, 27481, 122425, 0};
static int joe_kuo_d6_initial_number06403[] = {1, 3, 5, 9, 13, 59, 15, 157, 373, 937, 27, 3325, 2297, 89, 10861, 48615, 16083, 0};
static int joe_kuo_d6_initial_number06404[] = {1, 3, 1, 3, 19, 27, 109, 243, 189, 17, 99, 1879, 695, 11329, 12467, 6053, 41749, 0};
static int joe_kuo_d6_initial_number06405[] = {1, 1, 5, 5, 23, 41, 103, 69, 171, 917, 1303, 2101, 617, 10017, 26525, 11009, 66137, 0};
static int joe_kuo_d6_initial_number06406[] = {1, 1, 1, 9, 21, 45, 47, 171, 455, 257, 411, 4021, 6995, 12881, 4793, 51193, 60775, 0};
static int joe_kuo_d6_initial_number06407[] = {1, 3, 7, 5, 25, 31, 89, 53, 321, 593, 1795, 2435, 3833, 2767, 17241, 63373, 25457, 0};
static int joe_kuo_d6_initial_number06408[] = {1, 3, 1, 1, 3, 45, 19, 255, 179, 991, 1407, 3683, 1435, 6803, 12215, 12835, 2005, 0};
static int joe_kuo_d6_initial_number06409[] = {1, 3, 7, 3, 17, 5, 117, 251, 71, 983, 1391, 3499, 5119, 7257, 7325, 16565, 6321, 0};
static int joe_kuo_d6_initial_number06410[] = {1, 3, 5, 7, 5, 49, 47, 201, 297, 485, 1879, 2205, 4903, 13619, 22537, 5479, 121625, 0};
static int joe_kuo_d6_initial_number06411[] = {1, 1, 3, 5, 27, 27, 87, 61, 145, 943, 343, 1639, 6307, 4549, 20765, 33479, 113697, 0};
static int joe_kuo_d6_initial_number06412[] = {1, 1, 3, 9, 17, 5, 101, 129, 305, 653, 1901, 3901, 6361, 2369, 7449, 55259, 75215, 0};
static int joe_kuo_d6_initial_number06413[] = {1, 1, 7, 5, 31, 45, 117, 55, 335, 827, 1309, 2603, 2111, 11005, 14747, 56999, 97373, 0};
static int joe_kuo_d6_initial_number06414[] = {1, 1, 7, 11, 29, 29, 81, 175, 169, 453, 293, 2589, 1057, 15795, 32397, 65433, 79455, 0};
static int joe_kuo_d6_initial_number06415[] = {1, 1, 1, 5, 11, 7, 13, 249, 29, 407, 1289, 2385, 8113, 15327, 4029, 32005, 105901, 0};
static int joe_kuo_d6_initial_number06416[] = {1, 1, 5, 5, 7, 61, 103, 141, 109, 391, 631, 821, 1479, 14771, 25057, 1415, 8081, 0};
static int joe_kuo_d6_initial_number06417[] = {1, 3, 1, 1, 9, 37, 17, 231, 501, 745, 1695, 45, 7797, 2945, 5529, 34747, 39069, 0};
static int joe_kuo_d6_initial_number06418[] = {1, 1, 7, 9, 21, 59, 103, 103, 33, 875, 723, 3477, 4729, 7311, 29979, 60901, 72187, 0};
static int joe_kuo_d6_initial_number06419[] = {1, 3, 3, 3, 15, 63, 93, 237, 203, 635, 1189, 2035, 6499, 9943, 9133, 62977, 29657, 0};
static int joe_kuo_d6_initial_number06420[] = {1, 1, 1, 9, 3, 11, 63, 207, 95, 563, 775, 3009, 7125, 13141, 4489, 16343, 120951, 0};
static int joe_kuo_d6_initial_number06421[] = {1, 1, 3, 1, 21, 57, 15, 217, 185, 305, 463, 1597, 6529, 4989, 14011, 11265, 131031, 0};
static int joe_kuo_d6_initial_number06422[] = {1, 3, 5, 15, 17, 61, 35, 127, 411, 579, 1349, 615, 3293, 8475, 9773, 30635, 117639, 0};
static int joe_kuo_d6_initial_number06423[] = {1, 1, 7, 9, 11, 3, 55, 105, 305, 223, 1899, 2217, 1261, 9831, 23693, 3013, 30489, 0};
static int joe_kuo_d6_initial_number06424[] = {1, 3, 7, 15, 15, 29, 1, 99, 67, 293, 499, 1941, 5303, 1329, 24547, 14065, 7927, 0};
static int joe_kuo_d6_initial_number06425[] = {1, 1, 5, 11, 17, 55, 71, 49, 499, 435, 985, 2803, 6139, 1503, 24167, 47181, 102529, 0};
static int joe_kuo_d6_initial_number06426[] = {1, 3, 5, 1, 19, 53, 71, 17, 63, 469, 1871, 2051, 357, 11661, 5689, 36373, 13379, 0};
static int joe_kuo_d6_initial_number06427[] = {1, 1, 5, 1, 27, 47, 23, 247, 59, 381, 1895, 2453, 3665, 5487, 24081, 50501, 91659, 0};
static int joe_kuo_d6_initial_number06428[] = {1, 1, 5, 7, 29, 19, 3, 33, 83, 301, 133, 3603, 5133, 16171, 22905, 36271, 10405, 0};
static int joe_kuo_d6_initial_number06429[] = {1, 3, 7, 9, 11, 23, 57, 87, 9, 731, 631, 3703, 2593, 12851, 7115, 8801, 108919, 0};
static int joe_kuo_d6_initial_number06430[] = {1, 3, 3, 3, 23, 35, 33, 99, 343, 837, 231, 3921, 6975, 15093, 15049, 64623, 123523, 0};
static int joe_kuo_d6_initial_number06431[] = {1, 1, 7, 11, 15, 61, 113, 103, 501, 57, 1345, 3155, 2965, 4433, 10605, 43765, 42169, 0};
static int joe_kuo_d6_initial_number06432[] = {1, 1, 7, 13, 7, 53, 91, 121, 229, 127, 103, 833, 7829, 1571, 10847, 20861, 101155, 0};
static int joe_kuo_d6_initial_number06433[] = {1, 3, 7, 1, 9, 25, 71, 103, 37, 473, 1133, 1129, 1651, 6965, 6937, 16597, 20439, 0};
static int joe_kuo_d6_initial_number06434[] = {1, 1, 5, 9, 1, 9, 47, 131, 285, 967, 1869, 1075, 8127, 135, 15575, 38569, 123729, 0};
static int joe_kuo_d6_initial_number06435[] = {1, 1, 7, 9, 5, 31, 33, 227, 347, 41, 2025, 3755, 857, 7805, 13121, 38307, 125825, 0};
static int joe_kuo_d6_initial_number06436[] = {1, 3, 5, 7, 11, 11, 19, 55, 23, 627, 1477, 3093, 2779, 7653, 7165, 23053, 76123, 0};
static int joe_kuo_d6_initial_number06437[] = {1, 1, 3, 1, 3, 47, 83, 89, 177, 381, 1247, 141, 7051, 6443, 27369, 34323, 43063, 0};
static int joe_kuo_d6_initial_number06438[] = {1, 1, 7, 7, 13, 15, 55, 223, 351, 525, 1051, 3009, 5443, 11499, 8335, 37949, 69149, 0};
static int joe_kuo_d6_initial_number06439[] = {1, 1, 1, 3, 13, 61, 89, 33, 129, 921, 1905, 201, 3141, 5531, 135, 34103, 56883, 0};
static int joe_kuo_d6_initial_number06440[] = {1, 1, 5, 13, 17, 27, 13, 163, 169, 471, 1263, 1421, 7015, 7927, 21027, 58001, 26739, 0};
static int joe_kuo_d6_initial_number06441[] = {1, 1, 1, 15, 19, 49, 109, 207, 245, 49, 1271, 3635, 2561, 5091, 24415, 59195, 67701, 0};
static int joe_kuo_d6_initial_number06442[] = {1, 3, 5, 7, 27, 57, 99, 155, 461, 595, 1859, 1727, 857, 4993, 31733, 42141, 10035, 0};
static int joe_kuo_d6_initial_number06443[] = {1, 1, 1, 15, 11, 11, 85, 9, 251, 375, 155, 379, 7501, 12559, 32583, 36317, 4675, 0};
static int joe_kuo_d6_initial_number06444[] = {1, 1, 5, 13, 19, 57, 81, 69, 201, 293, 593, 3169, 4519, 9057, 16685, 12847, 123797, 0};
static int joe_kuo_d6_initial_number06445[] = {1, 3, 1, 5, 5, 1, 19, 243, 345, 661, 561, 3549, 2541, 5887, 25879, 41467, 72799, 0};
static int joe_kuo_d6_initial_number06446[] = {1, 1, 5, 13, 15, 51, 67, 61, 79, 89, 447, 1471, 4915, 10637, 10901, 48157, 103545, 0};
static int joe_kuo_d6_initial_number06447[] = {1, 3, 5, 13, 31, 25, 73, 129, 435, 659, 1851, 3595, 753, 7717, 10927, 30115, 109221, 0};
static int joe_kuo_d6_initial_number06448[] = {1, 1, 1, 3, 25, 3, 121, 43, 349, 205, 1209, 2671, 6445, 8755, 7171, 58631, 74319, 0};
static int joe_kuo_d6_initial_number06449[] = {1, 1, 3, 1, 11, 15, 83, 37, 483, 65, 759, 1835, 3883, 1693, 30051, 61077, 1187, 0};
static int joe_kuo_d6_initial_number06450[] = {1, 3, 7, 15, 29, 23, 85, 77, 139, 903, 1821, 943, 6453, 1523, 18539, 49039, 110787, 0};
static int joe_kuo_d6_initial_number06451[] = {1, 1, 7, 15, 15, 17, 69, 253, 507, 921, 523, 79, 747, 4011, 25795, 42029, 88309, 0};
static int joe_kuo_d6_initial_number06452[] = {1, 1, 7, 3, 25, 47, 119, 83, 313, 45, 985, 145, 205, 3407, 9013, 64517, 115811, 0};
static int joe_kuo_d6_initial_number06453[] = {1, 1, 7, 1, 29, 21, 9, 123, 97, 545, 1987, 2979, 6901, 12667, 23325, 63635, 70593, 0};
static int joe_kuo_d6_initial_number06454[] = {1, 3, 7, 3, 23, 45, 81, 255, 41, 29, 1493, 4065, 3201, 10479, 17193, 39999, 55493, 0};
static int joe_kuo_d6_initial_number06455[] = {1, 3, 1, 3, 9, 43, 43, 135, 235, 603, 481, 3139, 2729, 14759, 7269, 7995, 110351, 0};
static int joe_kuo_d6_initial_number06456[] = {1, 3, 1, 11, 17, 35, 113, 93, 417, 967, 755, 659, 3115, 16163, 22997, 38205, 126961, 0};
static int joe_kuo_d6_initial_number06457[] = {1, 1, 7, 11, 29, 57, 81, 235, 93, 869, 475, 825, 6269, 15819, 14977, 53057, 116021, 0};
static int joe_kuo_d6_initial_number06458[] = {1, 1, 7, 13, 5, 61, 5, 241, 245, 673, 1651, 3367, 2355, 713, 20107, 30133, 735, 0};
static int joe_kuo_d6_initial_number06459[] = {1, 1, 5, 9, 21, 3, 121, 241, 129, 703, 1435, 1943, 5087, 13123, 30023, 58287, 50377, 0};
static int joe_kuo_d6_initial_number06460[] = {1, 1, 1, 15, 23, 27, 67, 197, 123, 629, 169, 3303, 1679, 11051, 16875, 28055, 12379, 0};
static int joe_kuo_d6_initial_number06461[] = {1, 1, 3, 3, 7, 63, 97, 43, 89, 739, 779, 2893, 7763, 6351, 26135, 44647, 127987, 0};
static int joe_kuo_d6_initial_number06462[] = {1, 3, 3, 9, 31, 59, 95, 131, 131, 321, 1125, 127, 4865, 145, 26237, 47871, 114549, 0};
static int joe_kuo_d6_initial_number06463[] = {1, 3, 3, 13, 21, 3, 33, 17, 445, 693, 1599, 2517, 1679, 2237, 15053, 30983, 106755, 0};
static int joe_kuo_d6_initial_number06464[] = {1, 1, 5, 13, 31, 37, 49, 67, 403, 27, 575, 1795, 3385, 1067, 585, 60277, 123189, 0};
static int joe_kuo_d6_initial_number06465[] = {1, 3, 1, 15, 13, 35, 23, 247, 493, 305, 363, 451, 4011, 3679, 18281, 31751, 127933, 0};
static int joe_kuo_d6_initial_number06466[] = {1, 1, 7, 5, 21, 45, 123, 253, 469, 267, 985, 2349, 3427, 7653, 25685, 13747, 531, 0};
static int joe_kuo_d6_initial_number06467[] = {1, 1, 5, 11, 7, 59, 105, 209, 27, 847, 593, 3775, 6165, 1655, 29867, 28465, 92193, 0};
static int joe_kuo_d6_initial_number06468[] = {1, 3, 1, 11, 7, 25, 101, 81, 233, 311, 9, 2735, 3951, 485, 10105, 24489, 649, 0};
static int joe_kuo_d6_initial_number06469[] = {1, 3, 1, 7, 27, 5, 115, 243, 295, 659, 215, 1787, 5131, 2513, 29201, 21195, 103383, 0};
static int joe_kuo_d6_initial_number06470[] = {1, 3, 5, 13, 29, 21, 7, 57, 345, 467, 1297, 207, 5115, 335, 6153, 32959, 125697, 0};
static int joe_kuo_d6_initial_number06471[] = {1, 1, 1, 9, 3, 63, 63, 5, 373, 123, 1265, 2365, 1623, 1561, 14805, 17487, 104787, 0};
static int joe_kuo_d6_initial_number06472[] = {1, 3, 1, 5, 15, 13, 55, 69, 251, 341, 463, 2611, 4793, 12157, 4669, 11613, 128705, 0};
static int joe_kuo_d6_initial_number06473[] = {1, 3, 7, 13, 19, 7, 93, 149, 453, 693, 1731, 861, 6971, 943, 18891, 56547, 34411, 0};
static int joe_kuo_d6_initial_number06474[] = {1, 1, 7, 1, 27, 49, 27, 9, 281, 121, 581, 393, 2583, 1159, 26989, 39955, 100765, 0};
static int joe_kuo_d6_initial_number06475[] = {1, 1, 3, 9, 3, 43, 97, 207, 311, 617, 1987, 2559, 2101, 15791, 30085, 40713, 41909, 0};
static int joe_kuo_d6_initial_number06476[] = {1, 3, 1, 3, 15, 19, 53, 183, 375, 867, 397, 3203, 4207, 5381, 25065, 60357, 88739, 0};
static int joe_kuo_d6_initial_number06477[] = {1, 3, 3, 3, 27, 51, 85, 231, 19, 559, 567, 4049, 4875, 14201, 11623, 39763, 57339, 0};
static int joe_kuo_d6_initial_number06478[] = {1, 1, 5, 1, 19, 7, 81, 249, 41, 789, 985, 3725, 4053, 4255, 9861, 1609, 29511, 0};
static int joe_kuo_d6_initial_number06479[] = {1, 3, 5, 5, 21, 13, 49, 41, 367, 283, 1161, 2753, 4733, 3691, 27931, 53055, 83625, 0};
static int joe_kuo_d6_initial_number06480[] = {1, 3, 5, 11, 29, 47, 95, 51, 265, 85, 385, 833, 7957, 14985, 7017, 41937, 41377, 0};
static int joe_kuo_d6_initial_number06481[] = {1, 1, 7, 5, 1, 23, 17, 191, 185, 323, 515, 3183, 7685, 7361, 21143, 5227, 110297, 0};
static int joe_kuo_d6_initial_number06482[] = {1, 3, 3, 7, 11, 39, 31, 97, 237, 497, 1649, 3529, 6153, 5055, 29021, 35125, 121581, 0};
static int joe_kuo_d6_initial_number06483[] = {1, 3, 5, 3, 17, 47, 105, 75, 55, 343, 595, 2447, 5575, 10673, 32015, 37541, 127867, 0};
static int joe_kuo_d6_initial_number06484[] = {1, 3, 1, 7, 19, 39, 31, 135, 167, 979, 219, 1353, 489, 9667, 27107, 55565, 72291, 0};
static int joe_kuo_d6_initial_number06485[] = {1, 1, 3, 13, 31, 49, 87, 93, 235, 577, 1551, 2663, 387, 1129, 26683, 31285, 15913, 0};
static int joe_kuo_d6_initial_number06486[] = {1, 3, 3, 7, 15, 29, 61, 33, 115, 511, 1781, 2029, 4265, 6745, 1467, 34415, 40907, 0};
static int joe_kuo_d6_initial_number06487[] = {1, 1, 7, 5, 1, 55, 13, 129, 167, 937, 79, 2047, 3589, 1979, 4153, 15229, 85745, 0};
static int joe_kuo_d6_initial_number06488[] = {1, 1, 7, 15, 15, 25, 89, 129, 31, 435, 1359, 49, 2659, 2829, 8741, 25215, 4239, 0};
static int joe_kuo_d6_initial_number06489[] = {1, 3, 5, 3, 11, 39, 95, 239, 187, 615, 1481, 3509, 1133, 13497, 24833, 59635, 45695, 0};
static int joe_kuo_d6_initial_number06490[] = {1, 1, 5, 3, 19, 17, 17, 235, 315, 943, 883, 1381, 7129, 15709, 9847, 41183, 116071, 0};
static int joe_kuo_d6_initial_number06491[] = {1, 1, 1, 3, 9, 63, 109, 209, 309, 1015, 1391, 2617, 1481, 6483, 4151, 28063, 49887, 0};
static int joe_kuo_d6_initial_number06492[] = {1, 1, 5, 13, 23, 37, 31, 89, 501, 461, 41, 931, 7863, 15499, 25635, 16995, 41651, 0};
static int joe_kuo_d6_initial_number06493[] = {1, 1, 1, 9, 29, 29, 125, 161, 219, 439, 1465, 1615, 7483, 7497, 1121, 49693, 30269, 0};
static int joe_kuo_d6_initial_number06494[] = {1, 3, 1, 5, 7, 43, 27, 161, 431, 375, 419, 2995, 527, 8207, 747, 18491, 15351, 0};
static int joe_kuo_d6_initial_number06495[] = {1, 1, 3, 13, 25, 21, 67, 177, 9, 453, 1171, 65, 2845, 16147, 12699, 30905, 122255, 0};
static int joe_kuo_d6_initial_number06496[] = {1, 3, 1, 5, 29, 47, 77, 251, 473, 385, 947, 3239, 5375, 13617, 10639, 36005, 95821, 0};
static int joe_kuo_d6_initial_number06497[] = {1, 3, 1, 15, 13, 1, 75, 223, 509, 19, 175, 1541, 637, 5711, 1097, 44901, 35277, 0};
static int joe_kuo_d6_initial_number06498[] = {1, 3, 3, 7, 3, 27, 17, 151, 39, 583, 391, 2739, 7339, 2051, 17005, 49573, 85969, 0};
static int joe_kuo_d6_initial_number06499[] = {1, 3, 1, 11, 3, 25, 119, 125, 17, 629, 201, 2347, 2923, 1273, 14871, 58299, 97667, 0};
static int joe_kuo_d6_initial_number06500[] = {1, 1, 7, 1, 31, 39, 11, 121, 339, 667, 1863, 3479, 1895, 11319, 5683, 64969, 9261, 0};
static int joe_kuo_d6_initial_number06501[] = {1, 1, 5, 9, 27, 61, 101, 221, 221, 583, 287, 707, 5931, 4225, 29537, 46097, 114361, 0};
static int joe_kuo_d6_initial_number06502[] = {1, 1, 1, 9, 23, 47, 1, 35, 85, 1021, 151, 3153, 3867, 971, 31573, 4745, 107639, 0};
static int joe_kuo_d6_initial_number06503[] = {1, 1, 7, 13, 15, 15, 63, 37, 291, 907, 411, 1571, 6415, 7443, 26635, 27945, 130909, 0};
static int joe_kuo_d6_initial_number06504[] = {1, 3, 1, 9, 21, 13, 77, 147, 485, 107, 235, 481, 2389, 957, 11493, 53033, 46373, 0};
static int joe_kuo_d6_initial_number06505[] = {1, 3, 5, 7, 3, 55, 125, 237, 205, 411, 1911, 4053, 5983, 15489, 29333, 44727, 62167, 0};
static int joe_kuo_d6_initial_number06506[] = {1, 1, 3, 3, 17, 3, 59, 239, 209, 495, 447, 3427, 3425, 2347, 10057, 26147, 52243, 0};
static int joe_kuo_d6_initial_number06507[] = {1, 1, 3, 1, 11, 31, 3, 139, 441, 997, 295, 1267, 2181, 6047, 32419, 62657, 24921, 0};
static int joe_kuo_d6_initial_number06508[] = {1, 3, 7, 15, 5, 3, 11, 9, 211, 701, 1987, 2611, 6195, 14379, 22919, 15785, 52149, 0};
static int joe_kuo_d6_initial_number06509[] = {1, 1, 7, 9, 7, 27, 35, 253, 343, 679, 103, 1217, 3983, 8677, 17671, 41347, 89355, 0};
static int joe_kuo_d6_initial_number06510[] = {1, 1, 1, 5, 7, 55, 111, 115, 231, 999, 773, 2111, 3617, 2469, 16967, 60735, 24557, 0};
static int joe_kuo_d6_initial_number06511[] = {1, 3, 5, 1, 29, 5, 77, 217, 131, 307, 473, 3595, 2713, 6503, 18459, 57245, 91897, 0};
static int joe_kuo_d6_initial_number06512[] = {1, 3, 5, 13, 9, 33, 93, 31, 59, 343, 1337, 1971, 7593, 15629, 22693, 19885, 4139, 0};
static int joe_kuo_d6_initial_number06513[] = {1, 3, 3, 3, 21, 33, 115, 205, 373, 587, 739, 669, 8065, 5339, 16507, 29455, 15863, 0};
static int joe_kuo_d6_initial_number06514[] = {1, 3, 5, 11, 9, 43, 45, 41, 91, 87, 19, 1523, 5059, 9403, 6739, 36893, 6395, 0};
static int joe_kuo_d6_initial_number06515[] = {1, 1, 5, 15, 19, 43, 81, 3, 401, 621, 1839, 1443, 179, 8085, 27021, 7757, 95011, 0};
static int joe_kuo_d6_initial_number06516[] = {1, 3, 5, 15, 19, 21, 45, 167, 77, 977, 309, 431, 3437, 8327, 12895, 50521, 68473, 0};
static int joe_kuo_d6_initial_number06517[] = {1, 3, 3, 15, 7, 21, 49, 169, 327, 271, 7, 785, 1767, 14747, 7083, 65223, 24213, 0};
static int joe_kuo_d6_initial_number06518[] = {1, 1, 5, 9, 9, 51, 101, 197, 507, 839, 1413, 3131, 331, 15725, 32293, 60433, 86759, 0};
static int joe_kuo_d6_initial_number06519[] = {1, 1, 7, 1, 17, 39, 127, 201, 341, 607, 1565, 1615, 1367, 16043, 28265, 29139, 63813, 0};
static int joe_kuo_d6_initial_number06520[] = {1, 3, 5, 7, 9, 1, 107, 73, 121, 649, 1385, 3203, 2897, 8479, 28519, 34041, 1359, 0};
static int joe_kuo_d6_initial_number06521[] = {1, 1, 7, 7, 21, 55, 19, 13, 415, 647, 2015, 107, 4167, 5033, 16849, 41407, 94387, 0};
static int joe_kuo_d6_initial_number06522[] = {1, 3, 5, 13, 31, 27, 107, 95, 425, 679, 55, 3521, 6737, 11459, 19995, 64189, 44323, 0};
static int joe_kuo_d6_initial_number06523[] = {1, 1, 3, 9, 17, 47, 29, 167, 17, 63, 5, 2505, 6483, 14089, 7127, 7907, 68555, 0};
static int joe_kuo_d6_initial_number06524[] = {1, 1, 5, 3, 29, 3, 87, 107, 227, 893, 1821, 341, 5481, 13317, 10637, 8611, 28625, 0};
static int joe_kuo_d6_initial_number06525[] = {1, 1, 1, 13, 11, 19, 59, 157, 397, 103, 1821, 3913, 3083, 6053, 1015, 25475, 94813, 0};
static int joe_kuo_d6_initial_number06526[] = {1, 3, 1, 3, 15, 45, 1, 209, 335, 1015, 539, 2959, 1711, 2567, 30169, 147, 25383, 0};
static int joe_kuo_d6_initial_number06527[] = {1, 3, 7, 1, 17, 5, 99, 121, 91, 531, 865, 1667, 5615, 4729, 7473, 21445, 37925, 0};
static int joe_kuo_d6_initial_number06528[] = {1, 1, 7, 13, 3, 51, 27, 115, 439, 761, 1121, 1503, 3047, 2127, 29253, 48147, 10813, 0};
static int joe_kuo_d6_initial_number06529[] = {1, 3, 7, 15, 1, 51, 33, 161, 509, 159, 1705, 3365, 7953, 14027, 3873, 29609, 33101, 0};
static int joe_kuo_d6_initial_number06530[] = {1, 1, 5, 15, 15, 53, 119, 115, 433, 75, 497, 1259, 1681, 7715, 24767, 34647, 82007, 0};
static int joe_kuo_d6_initial_number06531[] = {1, 1, 5, 3, 27, 63, 41, 181, 393, 439, 95, 2765, 7617, 817, 1311, 18595, 16921, 0};
static int joe_kuo_d6_initial_number06532[] = {1, 3, 1, 15, 31, 7, 57, 89, 371, 745, 475, 3211, 6893, 10681, 18547, 28373, 127787, 0};
static int joe_kuo_d6_initial_number06533[] = {1, 3, 5, 13, 5, 55, 45, 167, 147, 833, 765, 1153, 4037, 8503, 10751, 49541, 77489, 0};
static int joe_kuo_d6_initial_number06534[] = {1, 3, 1, 11, 11, 7, 45, 167, 431, 759, 1035, 1367, 1649, 11711, 4915, 58915, 72479, 0};
static int joe_kuo_d6_initial_number06535[] = {1, 1, 5, 1, 11, 3, 15, 135, 427, 637, 879, 1667, 6139, 14759, 25665, 13083, 67961, 0};
static int joe_kuo_d6_initial_number06536[] = {1, 3, 3, 9, 1, 3, 73, 167, 269, 51, 1481, 3659, 7863, 7187, 3951, 10711, 5909, 0};
static int joe_kuo_d6_initial_number06537[] = {1, 1, 3, 3, 9, 53, 101, 209, 109, 691, 1641, 919, 1083, 6247, 23041, 44681, 130105, 0};
static int joe_kuo_d6_initial_number06538[] = {1, 3, 7, 5, 21, 55, 127, 9, 437, 225, 1599, 2575, 5407, 8099, 20009, 40339, 110581, 0};
static int joe_kuo_d6_initial_number06539[] = {1, 3, 3, 13, 7, 41, 15, 137, 363, 337, 995, 1215, 3651, 11011, 27209, 53927, 78065, 0};
static int joe_kuo_d6_initial_number06540[] = {1, 1, 1, 7, 11, 17, 27, 9, 481, 79, 905, 1297, 811, 10221, 463, 12979, 114731, 0};
static int joe_kuo_d6_initial_number06541[] = {1, 1, 3, 13, 7, 59, 105, 79, 253, 699, 139, 3823, 4939, 12955, 32069, 7255, 18159, 0};
static int joe_kuo_d6_initial_number06542[] = {1, 3, 5, 7, 29, 7, 79, 79, 147, 921, 425, 1423, 5967, 6397, 17393, 30009, 84075, 0};
static int joe_kuo_d6_initial_number06543[] = {1, 3, 7, 13, 23, 45, 51, 141, 237, 443, 1101, 309, 4533, 7479, 22415, 31517, 120407, 0};
static int joe_kuo_d6_initial_number06544[] = {1, 1, 5, 13, 3, 19, 97, 185, 59, 179, 1343, 2537, 3165, 16295, 25005, 49769, 78007, 0};
static int joe_kuo_d6_initial_number06545[] = {1, 3, 7, 15, 11, 53, 127, 195, 309, 121, 1741, 1415, 225, 15645, 16365, 38729, 70061, 0};
static int joe_kuo_d6_initial_number06546[] = {1, 3, 7, 11, 29, 35, 47, 109, 179, 3, 849, 2305, 3035, 15289, 31569, 28851, 90057, 0};
static int joe_kuo_d6_initial_number06547[] = {1, 1, 7, 1, 13, 27, 93, 119, 439, 45, 623, 1263, 6595, 6669, 12981, 64721, 130109, 0};
static int joe_kuo_d6_initial_number06548[] = {1, 1, 7, 13, 5, 43, 43, 99, 395, 417, 795, 3991, 5601, 13115, 12803, 52247, 39245, 0};
static int joe_kuo_d6_initial_number06549[] = {1, 3, 3, 3, 15, 61, 85, 91, 407, 391, 359, 3885, 1925, 4873, 169, 41727, 129471, 0};
static int joe_kuo_d6_initial_number06550[] = {1, 3, 3, 9, 11, 47, 3, 33, 355, 853, 1329, 1347, 1995, 8197, 10015, 787, 66773, 0};
static int joe_kuo_d6_initial_number06551[] = {1, 3, 3, 13, 31, 31, 49, 195, 55, 185, 1743, 3523, 1781, 8469, 7623, 55933, 74953, 0};
static int joe_kuo_d6_initial_number06552[] = {1, 3, 5, 15, 29, 31, 5, 45, 149, 71, 2033, 3171, 4601, 9941, 15005, 55709, 74403, 0};
static int joe_kuo_d6_initial_number06553[] = {1, 3, 5, 3, 1, 27, 105, 7, 139, 805, 1877, 915, 1843, 11897, 29485, 19275, 44711, 0};
static int joe_kuo_d6_initial_number06554[] = {1, 1, 5, 7, 25, 57, 111, 57, 401, 935, 1685, 2985, 2015, 13501, 14581, 53579, 117011, 0};
static int joe_kuo_d6_initial_number06555[] = {1, 1, 5, 11, 13, 47, 63, 137, 145, 77, 1727, 2629, 7377, 6311, 537, 13703, 129503, 0};
static int joe_kuo_d6_initial_number06556[] = {1, 1, 7, 9, 5, 49, 67, 51, 163, 989, 845, 7, 2141, 14467, 3197, 57581, 121087, 0};
static int joe_kuo_d6_initial_number06557[] = {1, 1, 5, 3, 31, 49, 57, 103, 171, 491, 1109, 1255, 4353, 11927, 29525, 16685, 48469, 0};
static int joe_kuo_d6_initial_number06558[] = {1, 1, 1, 3, 7, 29, 17, 111, 339, 747, 763, 179, 7747, 2483, 18415, 45301, 25155, 0};
static int joe_kuo_d6_initial_number06559[] = {1, 1, 7, 7, 1, 41, 71, 109, 401, 815, 1311, 3933, 1349, 13327, 20847, 44391, 49721, 0};
static int joe_kuo_d6_initial_number06560[] = {1, 1, 1, 15, 27, 57, 39, 129, 391, 701, 619, 3925, 701, 403, 11821, 30517, 22035, 0};
static int joe_kuo_d6_initial_number06561[] = {1, 1, 5, 11, 21, 49, 109, 101, 497, 417, 73, 2727, 2899, 2777, 22161, 35561, 70211, 0};
static int joe_kuo_d6_initial_number06562[] = {1, 1, 3, 3, 15, 43, 1, 159, 41, 833, 55, 2415, 5009, 9663, 31295, 29397, 3187, 0};
static int joe_kuo_d6_initial_number06563[] = {1, 1, 3, 7, 27, 5, 113, 187, 453, 753, 1649, 1605, 2405, 11791, 4239, 20915, 54033, 0};
static int joe_kuo_d6_initial_number06564[] = {1, 3, 1, 11, 1, 57, 49, 229, 283, 113, 345, 785, 8009, 11977, 30169, 63787, 32011, 0};
static int joe_kuo_d6_initial_number06565[] = {1, 1, 7, 3, 5, 59, 57, 91, 327, 685, 219, 1949, 3095, 8389, 2035, 11903, 73461, 0};
static int joe_kuo_d6_initial_number06566[] = {1, 1, 3, 3, 19, 59, 19, 37, 453, 1, 1811, 3263, 1807, 16147, 24861, 14003, 31747, 0};
static int joe_kuo_d6_initial_number06567[] = {1, 1, 3, 11, 1, 53, 93, 203, 429, 629, 1931, 1487, 3301, 8805, 4901, 2459, 98555, 0};
static int joe_kuo_d6_initial_number06568[] = {1, 1, 7, 5, 21, 5, 37, 135, 159, 749, 1589, 2631, 8145, 7279, 28397, 47113, 82309, 0};
static int joe_kuo_d6_initial_number06569[] = {1, 1, 5, 15, 25, 61, 19, 51, 217, 495, 109, 1179, 2743, 12107, 12509, 13003, 94375, 0};
static int joe_kuo_d6_initial_number06570[] = {1, 3, 3, 15, 11, 7, 67, 165, 57, 925, 427, 2549, 7189, 5917, 13113, 30933, 62703, 0};
static int joe_kuo_d6_initial_number06571[] = {1, 1, 5, 5, 9, 5, 43, 5, 485, 159, 757, 3979, 4963, 3389, 29731, 48477, 113429, 0};
static int joe_kuo_d6_initial_number06572[] = {1, 3, 5, 1, 5, 5, 81, 163, 493, 357, 2005, 1093, 5951, 1045, 10569, 40321, 56881, 0};
static int joe_kuo_d6_initial_number06573[] = {1, 3, 1, 5, 7, 29, 11, 7, 7, 13, 1641, 1031, 4025, 16337, 24333, 9589, 37779, 0};
static int joe_kuo_d6_initial_number06574[] = {1, 3, 5, 11, 15, 3, 69, 19, 141, 79, 749, 391, 4505, 6939, 3079, 3647, 22363, 0};
static int joe_kuo_d6_initial_number06575[] = {1, 3, 3, 3, 29, 3, 7, 189, 183, 513, 1225, 239, 4203, 9197, 23507, 33089, 124433, 0};
static int joe_kuo_d6_initial_number06576[] = {1, 3, 3, 13, 27, 37, 81, 221, 287, 891, 1197, 3501, 539, 2053, 20509, 48635, 50269, 0};
static int joe_kuo_d6_initial_number06577[] = {1, 1, 5, 7, 13, 3, 35, 79, 3, 885, 343, 3527, 1043, 7197, 6973, 8515, 39315, 0};
static int joe_kuo_d6_initial_number06578[] = {1, 3, 3, 9, 21, 53, 79, 225, 229, 759, 457, 293, 953, 12857, 20483, 3677, 93839, 0};
static int joe_kuo_d6_initial_number06579[] = {1, 3, 5, 3, 5, 17, 45, 107, 153, 279, 761, 1923, 7013, 2989, 10137, 19107, 126897, 0};
static int joe_kuo_d6_initial_number06580[] = {1, 3, 1, 3, 23, 53, 91, 1, 133, 729, 13, 2017, 6933, 7405, 1255, 49509, 105571, 0};
static int joe_kuo_d6_initial_number06581[] = {1, 3, 5, 1, 9, 45, 35, 153, 209, 289, 1779, 2557, 315, 981, 15347, 30391, 16027, 0};
static int joe_kuo_d6_initial_number06582[] = {1, 3, 3, 5, 17, 3, 51, 105, 263, 959, 1255, 1177, 8143, 10541, 7687, 38731, 93561, 0};
static int joe_kuo_d6_initial_number06583[] = {1, 1, 1, 13, 19, 1, 15, 135, 447, 847, 663, 3893, 3539, 6833, 13265, 62923, 8375, 0};
static int joe_kuo_d6_initial_number06584[] = {1, 3, 1, 15, 31, 11, 105, 1, 91, 523, 1583, 3493, 2665, 117, 10757, 29845, 127201, 0};
static int joe_kuo_d6_initial_number06585[] = {1, 1, 1, 3, 29, 49, 9, 103, 309, 605, 1751, 1981, 833, 3653, 14001, 16545, 58513, 0};
static int joe_kuo_d6_initial_number06586[] = {1, 1, 5, 9, 1, 19, 117, 71, 237, 765, 249, 1983, 2289, 6019, 26505, 31427, 64333, 0};
static int joe_kuo_d6_initial_number06587[] = {1, 1, 3, 11, 15, 31, 5, 207, 347, 143, 11, 1987, 3569, 2051, 31051, 22193, 93289, 0};
static int joe_kuo_d6_initial_number06588[] = {1, 1, 3, 5, 13, 15, 5, 73, 457, 611, 673, 2675, 8071, 13245, 19443, 14399, 99599, 0};
static int joe_kuo_d6_initial_number06589[] = {1, 1, 1, 9, 11, 5, 103, 231, 31, 457, 1031, 2257, 3159, 8323, 31585, 26163, 45159, 0};
static int joe_kuo_d6_initial_number06590[] = {1, 3, 1, 11, 29, 51, 29, 7, 89, 331, 783, 951, 6353, 15421, 12801, 8337, 119171, 0};
static int joe_kuo_d6_initial_number06591[] = {1, 1, 3, 13, 23, 57, 63, 43, 505, 1, 657, 4005, 6327, 7545, 15455, 27097, 53649, 0};
static int joe_kuo_d6_initial_number06592[] = {1, 1, 1, 5, 31, 7, 51, 107, 175, 461, 1893, 305, 157, 4819, 18549, 33087, 9499, 0};
static int joe_kuo_d6_initial_number06593[] = {1, 3, 1, 3, 19, 45, 37, 9, 459, 143, 1327, 3611, 1899, 15109, 30151, 17911, 13233, 0};
static int joe_kuo_d6_initial_number06594[] = {1, 1, 5, 15, 19, 49, 11, 227, 375, 661, 665, 259, 3659, 13723, 28239, 48159, 59209, 0};
static int joe_kuo_d6_initial_number06595[] = {1, 3, 7, 7, 17, 49, 77, 161, 505, 713, 1521, 935, 3629, 5033, 26717, 47199, 3693, 0};
static int joe_kuo_d6_initial_number06596[] = {1, 3, 5, 9, 17, 61, 1, 201, 259, 179, 1637, 2485, 4995, 2813, 19923, 43739, 32183, 0};
static int joe_kuo_d6_initial_number06597[] = {1, 1, 3, 5, 1, 23, 125, 61, 225, 703, 2011, 1013, 6651, 14029, 27375, 23301, 80269, 0};
static int joe_kuo_d6_initial_number06598[] = {1, 1, 3, 9, 11, 57, 37, 49, 321, 443, 1055, 1989, 4755, 8467, 22001, 18647, 112617, 0};
static int joe_kuo_d6_initial_number06599[] = {1, 3, 1, 5, 5, 39, 21, 139, 101, 583, 1881, 2599, 4185, 15679, 22215, 19093, 76737, 0};
static int joe_kuo_d6_initial_number06600[] = {1, 3, 1, 11, 31, 51, 85, 91, 159, 421, 2005, 1075, 7757, 12653, 25489, 3545, 62961, 0};
static int joe_kuo_d6_initial_number06601[] = {1, 1, 1, 15, 27, 57, 75, 151, 357, 571, 395, 299, 5607, 12865, 2149, 21059, 120753, 0};
static int joe_kuo_d6_initial_number06602[] = {1, 1, 1, 3, 15, 57, 63, 171, 265, 709, 1089, 677, 7243, 10207, 9789, 38431, 130415, 0};
static int joe_kuo_d6_initial_number06603[] = {1, 3, 7, 5, 21, 9, 73, 149, 197, 773, 773, 3931, 4135, 5671, 2733, 57173, 90693, 0};
static int joe_kuo_d6_initial_number06604[] = {1, 1, 5, 1, 23, 1, 47, 201, 33, 167, 1643, 4009, 2687, 5725, 28733, 27859, 55163, 0};
static int joe_kuo_d6_initial_number06605[] = {1, 1, 5, 15, 25, 11, 57, 139, 471, 625, 1067, 3647, 6213, 15605, 23537, 5005, 32593, 0};
static int joe_kuo_d6_initial_number06606[] = {1, 3, 1, 11, 17, 11, 25, 163, 199, 21, 1775, 3721, 2845, 15769, 2381, 27643, 19909, 0};
static int joe_kuo_d6_initial_number06607[] = {1, 3, 5, 5, 21, 41, 23, 125, 401, 483, 535, 925, 7065, 1727, 3761, 8485, 3519, 0};
static int joe_kuo_d6_initial_number06608[] = {1, 1, 3, 15, 27, 31, 11, 7, 93, 237, 611, 3635, 4747, 9751, 20607, 20473, 73935, 0};
static int joe_kuo_d6_initial_number06609[] = {1, 1, 7, 3, 15, 19, 69, 169, 387, 291, 1981, 635, 3387, 15817, 20357, 47537, 107311, 0};
static int joe_kuo_d6_initial_number06610[] = {1, 3, 7, 15, 13, 59, 31, 235, 399, 343, 1265, 2975, 6839, 13335, 5397, 58915, 31313, 0};
static int joe_kuo_d6_initial_number06611[] = {1, 1, 7, 1, 3, 35, 81, 243, 387, 421, 1533, 799, 2615, 13219, 9041, 26967, 22677, 0};
static int joe_kuo_d6_initial_number06612[] = {1, 1, 7, 15, 17, 41, 89, 115, 67, 569, 1647, 1831, 5533, 4629, 1413, 20037, 97343, 0};
static int joe_kuo_d6_initial_number06613[] = {1, 1, 5, 1, 23, 41, 11, 149, 319, 377, 439, 1237, 4819, 14303, 14657, 61711, 129235, 0};
static int joe_kuo_d6_initial_number06614[] = {1, 3, 3, 7, 9, 11, 79, 219, 249, 607, 1453, 2931, 3407, 13725, 28289, 42869, 96759, 0};
static int joe_kuo_d6_initial_number06615[] = {1, 1, 5, 11, 7, 9, 101, 51, 11, 893, 697, 1221, 4237, 1873, 11191, 25517, 119861, 0};
static int joe_kuo_d6_initial_number06616[] = {1, 1, 3, 11, 23, 23, 19, 245, 485, 317, 1945, 2339, 193, 9389, 30709, 33927, 95089, 0};
static int joe_kuo_d6_initial_number06617[] = {1, 1, 3, 1, 27, 55, 5, 81, 63, 185, 223, 3639, 6093, 10053, 1793, 11885, 29307, 0};
static int joe_kuo_d6_initial_number06618[] = {1, 1, 7, 13, 15, 41, 33, 133, 467, 457, 213, 3687, 1313, 2555, 19487, 44257, 108667, 0};
static int joe_kuo_d6_initial_number06619[] = {1, 1, 3, 5, 31, 51, 53, 115, 449, 273, 1043, 2743, 1759, 2013, 28171, 57091, 76837, 0};
static int joe_kuo_d6_initial_number06620[] = {1, 1, 5, 15, 21, 43, 11, 215, 151, 253, 913, 1889, 2799, 13787, 3869, 54413, 50991, 0};
static int joe_kuo_d6_initial_number06621[] = {1, 1, 3, 13, 29, 19, 81, 123, 461, 203, 81, 555, 6601, 15689, 12637, 41467, 105343, 0};
static int joe_kuo_d6_initial_number06622[] = {1, 1, 3, 13, 7, 21, 75, 111, 47, 481, 1519, 3299, 6199, 3501, 31323, 29215, 45607, 0};
static int joe_kuo_d6_initial_number06623[] = {1, 3, 1, 3, 17, 51, 45, 223, 321, 233, 267, 3333, 3803, 3099, 4601, 29061, 88441, 0};
static int joe_kuo_d6_initial_number06624[] = {1, 1, 5, 13, 23, 27, 7, 57, 273, 893, 773, 239, 6357, 15875, 5497, 21775, 108291, 0};
static int joe_kuo_d6_initial_number06625[] = {1, 3, 1, 15, 25, 17, 11, 229, 175, 909, 691, 3507, 5247, 2933, 1741, 35059, 62841, 0};
static int joe_kuo_d6_initial_number06626[] = {1, 3, 5, 1, 29, 7, 11, 69, 345, 87, 99, 3243, 5669, 11053, 1185, 6979, 117069, 0};
static int joe_kuo_d6_initial_number06627[] = {1, 3, 5, 11, 13, 33, 23, 183, 89, 475, 643, 2773, 7899, 15219, 133, 5073, 129355, 0};
static int joe_kuo_d6_initial_number06628[] = {1, 3, 7, 9, 23, 17, 31, 53, 455, 193, 1695, 2557, 1645, 12675, 27857, 50447, 121335, 0};
static int joe_kuo_d6_initial_number06629[] = {1, 1, 3, 11, 15, 19, 41, 57, 305, 235, 1131, 1165, 1857, 13667, 19285, 29755, 118885, 0};
static int joe_kuo_d6_initial_number06630[] = {1, 3, 7, 3, 9, 43, 107, 3, 275, 673, 677, 3769, 3097, 5497, 24911, 4617, 80505, 0};
static int joe_kuo_d6_initial_number06631[] = {1, 1, 7, 9, 21, 39, 107, 155, 471, 753, 579, 2929, 4951, 4245, 25035, 41795, 86955, 0};
static int joe_kuo_d6_initial_number06632[] = {1, 3, 1, 7, 31, 51, 27, 165, 147, 751, 709, 399, 45, 947, 9893, 32721, 122127, 0};
static int joe_kuo_d6_initial_number06633[] = {1, 3, 3, 1, 31, 31, 73, 59, 351, 293, 845, 3139, 4177, 3537, 9465, 20689, 65837, 0};
static int joe_kuo_d6_initial_number06634[] = {1, 3, 5, 9, 27, 29, 13, 115, 417, 435, 465, 1291, 5225, 11687, 29207, 39895, 55443, 0};
static int joe_kuo_d6_initial_number06635[] = {1, 3, 3, 15, 29, 49, 111, 179, 221, 565, 787, 1811, 4055, 7863, 27273, 32975, 26985, 0};
static int joe_kuo_d6_initial_number06636[] = {1, 1, 1, 7, 15, 49, 121, 145, 277, 27, 149, 965, 4903, 3497, 32333, 37217, 105073, 0};
static int joe_kuo_d6_initial_number06637[] = {1, 1, 7, 1, 23, 29, 31, 77, 353, 349, 755, 2081, 4291, 567, 641, 41751, 20397, 0};
static int joe_kuo_d6_initial_number06638[] = {1, 1, 5, 3, 25, 31, 97, 3, 405, 607, 965, 2981, 3217, 14695, 25977, 22457, 113539, 0};
static int joe_kuo_d6_initial_number06639[] = {1, 3, 3, 15, 25, 3, 91, 125, 269, 825, 1163, 2181, 4247, 6813, 4699, 35091, 87771, 0};
static int joe_kuo_d6_initial_number06640[] = {1, 1, 5, 9, 25, 23, 113, 145, 71, 31, 1115, 3729, 6793, 11869, 26509, 18779, 99499, 0};
static int joe_kuo_d6_initial_number06641[] = {1, 1, 1, 9, 31, 51, 77, 217, 247, 599, 1541, 3217, 1383, 5203, 27971, 23647, 71823, 0};
static int joe_kuo_d6_initial_number06642[] = {1, 1, 5, 7, 17, 35, 113, 73, 475, 511, 35, 1961, 5311, 2257, 1935, 58963, 94349, 0};
static int joe_kuo_d6_initial_number06643[] = {1, 3, 1, 7, 27, 31, 67, 253, 95, 883, 1213, 855, 3429, 15049, 26715, 56099, 101797, 0};
static int joe_kuo_d6_initial_number06644[] = {1, 1, 3, 5, 9, 9, 61, 57, 511, 537, 1803, 949, 1327, 3921, 11297, 13807, 64629, 0};
static int joe_kuo_d6_initial_number06645[] = {1, 1, 5, 1, 31, 57, 105, 161, 309, 283, 1291, 2737, 7141, 7497, 25893, 14453, 35375, 0};
static int joe_kuo_d6_initial_number06646[] = {1, 1, 3, 1, 21, 3, 77, 37, 13, 211, 1863, 1895, 8035, 5801, 25981, 12317, 48375, 0};
static int joe_kuo_d6_initial_number06647[] = {1, 3, 7, 7, 25, 45, 13, 77, 185, 553, 1501, 1349, 5951, 15581, 32657, 18467, 128363, 0};
static int joe_kuo_d6_initial_number06648[] = {1, 3, 5, 9, 23, 63, 105, 239, 213, 935, 1331, 3653, 2775, 6591, 6067, 34597, 19217, 0};
static int joe_kuo_d6_initial_number06649[] = {1, 3, 7, 13, 15, 19, 79, 91, 391, 637, 1685, 2263, 3507, 2025, 2111, 15875, 14831, 0};
static int joe_kuo_d6_initial_number06650[] = {1, 3, 3, 5, 7, 29, 81, 69, 511, 399, 343, 737, 2833, 1021, 10471, 18689, 36181, 0};
static int joe_kuo_d6_initial_number06651[] = {1, 1, 5, 11, 21, 17, 39, 137, 145, 857, 583, 789, 8057, 15995, 32113, 64163, 37153, 0};
static int joe_kuo_d6_initial_number06652[] = {1, 3, 3, 11, 9, 61, 87, 131, 487, 667, 1295, 493, 4629, 7719, 18157, 49715, 2051, 0};
static int joe_kuo_d6_initial_number06653[] = {1, 3, 5, 9, 19, 5, 85, 3, 491, 353, 571, 2829, 4411, 343, 24781, 62325, 123959, 0};
static int joe_kuo_d6_initial_number06654[] = {1, 1, 7, 13, 13, 39, 11, 31, 413, 285, 27, 2433, 3307, 6165, 26565, 40065, 102655, 0};
static int joe_kuo_d6_initial_number06655[] = {1, 1, 5, 11, 25, 45, 7, 97, 9, 973, 1833, 2537, 1457, 7389, 24087, 38061, 122805, 0};
static int joe_kuo_d6_initial_number06656[] = {1, 3, 5, 3, 21, 63, 77, 21, 249, 525, 1145, 1421, 8011, 3357, 15051, 30293, 127017, 0};
static int joe_kuo_d6_initial_number06657[] = {1, 1, 5, 3, 13, 53, 81, 185, 303, 307, 1579, 841, 2277, 607, 10899, 34209, 215, 0};
static int joe_kuo_d6_initial_number06658[] = {1, 3, 3, 13, 17, 1, 125, 145, 205, 763, 127, 1865, 4129, 849, 27247, 29845, 36515, 0};
static int joe_kuo_d6_initial_number06659[] = {1, 3, 7, 13, 5, 59, 19, 71, 227, 111, 365, 1309, 5857, 6035, 32379, 11303, 127329, 0};
static int joe_kuo_d6_initial_number06660[] = {1, 1, 1, 1, 19, 61, 79, 253, 459, 23, 725, 3615, 4583, 429, 13215, 31879, 4523, 0};
static int joe_kuo_d6_initial_number06661[] = {1, 1, 1, 7, 19, 13, 53, 41, 243, 107, 1767, 983, 3483, 2249, 2209, 58895, 14805, 0};
static int joe_kuo_d6_initial_number06662[] = {1, 1, 1, 9, 5, 63, 31, 85, 119, 307, 633, 3295, 841, 3495, 22965, 57587, 108271, 0};
static int joe_kuo_d6_initial_number06663[] = {1, 3, 5, 9, 17, 13, 57, 49, 97, 613, 405, 2637, 3229, 14253, 4663, 61345, 33415, 0};
static int joe_kuo_d6_initial_number06664[] = {1, 3, 1, 1, 17, 37, 63, 3, 5, 375, 1073, 3971, 665, 4445, 153, 20437, 38513, 0};
static int joe_kuo_d6_initial_number06665[] = {1, 3, 3, 15, 5, 9, 77, 161, 409, 461, 443, 567, 5581, 8623, 27735, 9041, 5517, 0};
static int joe_kuo_d6_initial_number06666[] = {1, 3, 5, 13, 13, 5, 19, 53, 263, 155, 557, 3973, 6841, 4829, 30751, 30025, 121973, 0};
static int joe_kuo_d6_initial_number06667[] = {1, 3, 7, 9, 27, 37, 49, 243, 107, 1013, 1743, 1509, 4465, 15415, 4741, 41409, 72695, 0};
static int joe_kuo_d6_initial_number06668[] = {1, 1, 3, 5, 11, 49, 39, 45, 21, 463, 875, 3681, 1901, 15325, 24553, 51369, 82227, 0};
static int joe_kuo_d6_initial_number06669[] = {1, 1, 3, 15, 11, 35, 21, 91, 383, 149, 1815, 911, 4633, 12027, 12413, 22307, 120049, 0};
static int joe_kuo_d6_initial_number06670[] = {1, 3, 5, 7, 7, 3, 15, 83, 477, 687, 145, 1705, 6893, 5233, 20171, 43337, 72603, 0};
static int joe_kuo_d6_initial_number06671[] = {1, 1, 3, 9, 25, 35, 19, 173, 67, 5, 561, 2139, 4557, 4911, 26273, 38409, 22801, 0};
static int joe_kuo_d6_initial_number06672[] = {1, 1, 3, 13, 15, 39, 85, 91, 91, 187, 1851, 1181, 4049, 16353, 26525, 43703, 19415, 0};
static int joe_kuo_d6_initial_number06673[] = {1, 3, 1, 9, 13, 41, 77, 179, 415, 705, 693, 3017, 5847, 16191, 11435, 28979, 51839, 0};
static int joe_kuo_d6_initial_number06674[] = {1, 1, 3, 5, 23, 15, 3, 159, 269, 67, 625, 4043, 4701, 1599, 6467, 10949, 80073, 0};
static int joe_kuo_d6_initial_number06675[] = {1, 3, 3, 15, 7, 43, 81, 157, 393, 321, 1875, 2801, 4359, 11703, 1063, 64015, 109997, 0};
static int joe_kuo_d6_initial_number06676[] = {1, 1, 7, 3, 25, 21, 37, 123, 133, 691, 973, 3115, 2291, 10519, 13339, 22751, 85445, 0};
static int joe_kuo_d6_initial_number06677[] = {1, 3, 1, 1, 21, 21, 9, 23, 431, 679, 1873, 289, 4503, 3939, 14417, 36081, 18709, 0};
static int joe_kuo_d6_initial_number06678[] = {1, 3, 5, 5, 1, 53, 109, 133, 33, 279, 727, 2233, 3065, 8557, 7487, 25797, 109177, 0};
static int joe_kuo_d6_initial_number06679[] = {1, 1, 7, 7, 1, 9, 47, 127, 179, 757, 1985, 547, 169, 13393, 22669, 58795, 92897, 0};
static int joe_kuo_d6_initial_number06680[] = {1, 3, 5, 11, 17, 21, 95, 219, 263, 579, 1493, 3283, 5461, 1235, 1749, 33325, 36033, 0};
static int joe_kuo_d6_initial_number06681[] = {1, 1, 3, 11, 21, 49, 45, 143, 511, 983, 1933, 965, 7905, 1925, 27857, 40723, 68251, 0};
static int joe_kuo_d6_initial_number06682[] = {1, 3, 7, 3, 27, 9, 73, 7, 441, 877, 107, 1599, 4795, 7251, 6819, 7671, 21137, 0};
static int joe_kuo_d6_initial_number06683[] = {1, 1, 3, 3, 21, 25, 49, 43, 247, 949, 627, 2859, 2507, 4787, 11269, 53221, 126387, 0};
static int joe_kuo_d6_initial_number06684[] = {1, 1, 5, 3, 5, 53, 127, 65, 353, 521, 1701, 2981, 3201, 611, 13475, 58015, 2605, 0};
static int joe_kuo_d6_initial_number06685[] = {1, 1, 5, 13, 9, 39, 55, 103, 53, 281, 705, 2433, 6179, 3381, 31973, 30267, 91307, 0};
static int joe_kuo_d6_initial_number06686[] = {1, 1, 7, 13, 31, 23, 29, 161, 347, 449, 123, 3427, 5731, 12691, 15175, 20487, 74695, 0};
static int joe_kuo_d6_initial_number06687[] = {1, 3, 3, 15, 13, 19, 83, 137, 437, 317, 921, 913, 7979, 6665, 5313, 1435, 60271, 0};
static int joe_kuo_d6_initial_number06688[] = {1, 3, 5, 7, 19, 23, 31, 131, 421, 95, 1999, 897, 4839, 1815, 12387, 45009, 2609, 0};
static int joe_kuo_d6_initial_number06689[] = {1, 1, 1, 7, 3, 53, 121, 33, 47, 283, 813, 3841, 4449, 2543, 15211, 59285, 42551, 0};
static int joe_kuo_d6_initial_number06690[] = {1, 3, 1, 13, 9, 43, 37, 167, 93, 417, 213, 2721, 3395, 2089, 13743, 32925, 91147, 0};
static int joe_kuo_d6_initial_number06691[] = {1, 3, 7, 5, 31, 25, 97, 25, 19, 11, 543, 1889, 455, 5765, 9517, 56963, 131069, 0};
static int joe_kuo_d6_initial_number06692[] = {1, 3, 1, 7, 3, 7, 87, 61, 209, 39, 1303, 1637, 6687, 8001, 5003, 47911, 110657, 0};
static int joe_kuo_d6_initial_number06693[] = {1, 1, 5, 3, 11, 25, 99, 77, 379, 843, 1423, 2933, 7535, 4181, 32223, 49327, 48041, 0};
static int joe_kuo_d6_initial_number06694[] = {1, 3, 3, 13, 9, 7, 85, 59, 47, 777, 401, 2449, 2795, 11289, 25023, 7725, 73887, 0};
static int joe_kuo_d6_initial_number06695[] = {1, 1, 3, 5, 11, 51, 93, 57, 369, 871, 1175, 2705, 1253, 5169, 24691, 14243, 119667, 0};
static int joe_kuo_d6_initial_number06696[] = {1, 3, 1, 3, 5, 7, 33, 171, 359, 115, 1909, 2003, 1413, 13829, 3471, 36185, 118399, 0};
static int joe_kuo_d6_initial_number06697[] = {1, 1, 1, 11, 5, 49, 97, 145, 415, 731, 671, 2309, 7211, 11359, 22757, 15415, 70951, 0};
static int joe_kuo_d6_initial_number06698[] = {1, 1, 3, 5, 7, 51, 61, 101, 375, 575, 1321, 2835, 7569, 9599, 4707, 7655, 53417, 0};
static int joe_kuo_d6_initial_number06699[] = {1, 3, 1, 15, 9, 63, 25, 117, 203, 5, 1345, 2571, 5273, 2059, 4689, 27237, 23199, 0};
static int joe_kuo_d6_initial_number06700[] = {1, 1, 3, 15, 15, 23, 69, 49, 349, 995, 5, 1565, 903, 10165, 9565, 6343, 16653, 0};
static int joe_kuo_d6_initial_number06701[] = {1, 1, 3, 9, 21, 15, 69, 9, 463, 69, 1447, 2347, 5125, 7479, 18257, 14405, 51321, 0};
static int joe_kuo_d6_initial_number06702[] = {1, 1, 7, 11, 23, 57, 57, 179, 17, 129, 999, 777, 6281, 1693, 31885, 31085, 29237, 0};
static int joe_kuo_d6_initial_number06703[] = {1, 3, 5, 1, 25, 55, 15, 21, 199, 271, 1645, 1719, 2023, 10049, 15215, 11959, 44875, 0};
static int joe_kuo_d6_initial_number06704[] = {1, 3, 1, 3, 29, 43, 83, 11, 281, 27, 429, 685, 7189, 9151, 8665, 9553, 115293, 0};
static int joe_kuo_d6_initial_number06705[] = {1, 3, 1, 7, 17, 43, 125, 11, 189, 803, 713, 683, 7285, 4455, 18195, 45333, 32281, 0};
static int joe_kuo_d6_initial_number06706[] = {1, 3, 3, 3, 11, 55, 21, 59, 173, 283, 709, 1561, 5391, 5097, 24725, 19217, 13769, 0};
static int joe_kuo_d6_initial_number06707[] = {1, 3, 5, 13, 7, 29, 117, 207, 415, 525, 567, 1741, 3553, 6729, 433, 17619, 45971, 0};
static int joe_kuo_d6_initial_number06708[] = {1, 1, 7, 7, 3, 23, 43, 43, 213, 823, 609, 1037, 3797, 4733, 30717, 61067, 89581, 0};
static int joe_kuo_d6_initial_number06709[] = {1, 3, 5, 7, 11, 7, 7, 241, 379, 217, 739, 2815, 2549, 14297, 10283, 1509, 80613, 0};
static int joe_kuo_d6_initial_number06710[] = {1, 1, 1, 1, 17, 45, 53, 229, 193, 893, 1881, 227, 6751, 7135, 20823, 36939, 27667, 0};
static int joe_kuo_d6_initial_number06711[] = {1, 3, 3, 1, 15, 39, 27, 217, 101, 949, 1963, 2213, 2357, 4129, 11925, 841, 59259, 0};
static int joe_kuo_d6_initial_number06712[] = {1, 1, 3, 3, 5, 53, 59, 255, 421, 1009, 683, 2171, 6691, 12489, 20865, 29363, 70611, 0};
static int joe_kuo_d6_initial_number06713[] = {1, 1, 7, 15, 7, 31, 105, 141, 153, 401, 549, 3045, 5443, 11147, 18159, 24283, 21859, 0};
static int joe_kuo_d6_initial_number06714[] = {1, 3, 7, 1, 11, 17, 17, 231, 175, 603, 1915, 111, 3203, 10627, 9687, 47235, 87057, 0};
static int joe_kuo_d6_initial_number06715[] = {1, 1, 1, 11, 19, 21, 115, 41, 45, 727, 1523, 739, 3025, 10321, 27353, 63139, 16051, 0};
static int joe_kuo_d6_initial_number06716[] = {1, 3, 7, 11, 13, 9, 33, 121, 237, 565, 2043, 2131, 3079, 12575, 2187, 14427, 85939, 0};
static int joe_kuo_d6_initial_number06717[] = {1, 3, 1, 15, 21, 19, 91, 227, 485, 49, 101, 15, 1903, 4039, 23819, 40001, 66405, 0};
static int joe_kuo_d6_initial_number06718[] = {1, 3, 1, 5, 15, 25, 65, 25, 393, 287, 1435, 1851, 6437, 5983, 13769, 37847, 120907, 0};
static int joe_kuo_d6_initial_number06719[] = {1, 3, 7, 15, 15, 21, 97, 37, 359, 155, 807, 1421, 517, 13135, 2955, 56979, 52299, 0};
static int joe_kuo_d6_initial_number06720[] = {1, 1, 5, 1, 27, 53, 79, 27, 467, 605, 267, 1193, 31, 6177, 12369, 32621, 38319, 0};
static int joe_kuo_d6_initial_number06721[] = {1, 1, 1, 11, 27, 15, 15, 231, 205, 677, 331, 133, 3313, 7193, 8059, 36449, 21671, 0};
static int joe_kuo_d6_initial_number06722[] = {1, 3, 3, 11, 19, 57, 113, 83, 399, 801, 1843, 2119, 2779, 14061, 30901, 28745, 120903, 0};
static int joe_kuo_d6_initial_number06723[] = {1, 1, 1, 11, 5, 27, 121, 247, 467, 251, 1487, 251, 897, 3171, 28383, 22473, 1709, 0};
static int joe_kuo_d6_initial_number06724[] = {1, 1, 1, 15, 7, 59, 123, 165, 123, 373, 167, 1323, 5239, 9027, 13791, 55593, 78785, 0};
static int joe_kuo_d6_initial_number06725[] = {1, 3, 1, 11, 31, 11, 81, 229, 123, 183, 461, 1751, 5713, 2615, 27795, 1657, 39253, 0};
static int joe_kuo_d6_initial_number06726[] = {1, 1, 7, 1, 21, 45, 107, 3, 283, 149, 549, 3731, 6435, 3595, 32753, 16079, 84257, 0};
static int joe_kuo_d6_initial_number06727[] = {1, 3, 3, 15, 19, 9, 81, 37, 51, 341, 909, 985, 1503, 12787, 16129, 37789, 113515, 0};
static int joe_kuo_d6_initial_number06728[] = {1, 3, 5, 13, 3, 33, 127, 219, 369, 341, 1191, 1305, 567, 2339, 31221, 49435, 114927, 0};
static int joe_kuo_d6_initial_number06729[] = {1, 1, 7, 15, 29, 47, 103, 107, 257, 15, 2029, 2133, 2129, 11235, 29553, 49139, 33809, 0};
static int joe_kuo_d6_initial_number06730[] = {1, 3, 3, 13, 23, 33, 105, 43, 155, 815, 1087, 2261, 2781, 3461, 7371, 4479, 123093, 0};
static int joe_kuo_d6_initial_number06731[] = {1, 1, 1, 13, 17, 7, 89, 107, 143, 349, 637, 3651, 4153, 12131, 28393, 45781, 84133, 0};
static int joe_kuo_d6_initial_number06732[] = {1, 3, 5, 11, 31, 47, 105, 101, 267, 403, 1853, 3977, 3277, 1737, 15503, 47365, 14361, 0};
static int joe_kuo_d6_initial_number06733[] = {1, 1, 1, 13, 1, 63, 125, 107, 123, 183, 1027, 3491, 3597, 15949, 5779, 34665, 81257, 0};
static int joe_kuo_d6_initial_number06734[] = {1, 3, 1, 9, 13, 5, 125, 41, 389, 73, 1487, 1983, 957, 12645, 13983, 7675, 72711, 0};
static int joe_kuo_d6_initial_number06735[] = {1, 3, 7, 5, 17, 5, 25, 63, 211, 591, 261, 2345, 3883, 4403, 773, 43963, 93509, 0};
static int joe_kuo_d6_initial_number06736[] = {1, 3, 3, 1, 11, 35, 15, 251, 225, 643, 537, 3769, 7593, 6113, 1377, 52185, 81459, 0};
static int joe_kuo_d6_initial_number06737[] = {1, 3, 5, 15, 27, 27, 51, 35, 389, 853, 1437, 2803, 5739, 1887, 15099, 3299, 111827, 0};
static int joe_kuo_d6_initial_number06738[] = {1, 1, 3, 15, 25, 63, 31, 201, 79, 131, 31, 3929, 4195, 13045, 8681, 48121, 110723, 0};
static int joe_kuo_d6_initial_number06739[] = {1, 1, 5, 7, 11, 43, 101, 57, 69, 271, 189, 3087, 4893, 11365, 6945, 14285, 41961, 0};
static int joe_kuo_d6_initial_number06740[] = {1, 1, 7, 9, 21, 61, 41, 123, 25, 947, 1619, 2895, 7879, 12397, 17405, 48139, 71519, 0};
static int joe_kuo_d6_initial_number06741[] = {1, 3, 1, 15, 1, 27, 113, 225, 441, 855, 541, 357, 3111, 4867, 20571, 30627, 70123, 0};
static int joe_kuo_d6_initial_number06742[] = {1, 3, 5, 3, 5, 33, 103, 1, 21, 93, 383, 407, 5145, 7857, 20289, 51943, 16223, 0};
static int joe_kuo_d6_initial_number06743[] = {1, 1, 7, 15, 1, 13, 41, 215, 463, 417, 513, 3417, 1755, 16165, 7271, 3101, 54353, 0};
static int joe_kuo_d6_initial_number06744[] = {1, 3, 3, 13, 19, 29, 5, 205, 245, 927, 1249, 773, 3653, 9959, 357, 40863, 37289, 0};
static int joe_kuo_d6_initial_number06745[] = {1, 3, 3, 7, 3, 5, 85, 241, 29, 627, 1963, 3133, 1369, 503, 11449, 4699, 2573, 0};
static int joe_kuo_d6_initial_number06746[] = {1, 1, 7, 15, 3, 35, 47, 157, 413, 437, 1627, 3953, 947, 12721, 22209, 34303, 81237, 0};
static int joe_kuo_d6_initial_number06747[] = {1, 1, 5, 5, 1, 45, 47, 245, 253, 349, 1853, 3481, 6105, 7267, 3159, 38833, 117889, 0};
static int joe_kuo_d6_initial_number06748[] = {1, 3, 7, 15, 23, 43, 25, 181, 121, 681, 479, 1239, 6155, 3317, 9419, 28717, 44643, 0};
static int joe_kuo_d6_initial_number06749[] = {1, 3, 3, 15, 31, 43, 111, 99, 405, 991, 301, 1689, 7107, 16131, 16703, 24059, 40345, 0};
static int joe_kuo_d6_initial_number06750[] = {1, 1, 3, 9, 25, 5, 107, 91, 117, 351, 1595, 163, 3007, 13743, 24535, 38671, 29745, 0};
static int joe_kuo_d6_initial_number06751[] = {1, 3, 3, 5, 27, 47, 15, 195, 119, 919, 665, 1903, 1981, 7753, 21709, 33699, 15963, 0};
static int joe_kuo_d6_initial_number06752[] = {1, 3, 1, 11, 23, 23, 75, 115, 477, 105, 541, 1111, 209, 13939, 17129, 7565, 75415, 0};
static int joe_kuo_d6_initial_number06753[] = {1, 1, 1, 11, 7, 61, 123, 201, 305, 713, 779, 2059, 4899, 13733, 20529, 15617, 39833, 0};
static int joe_kuo_d6_initial_number06754[] = {1, 1, 7, 11, 21, 7, 63, 113, 213, 871, 375, 29, 1925, 15237, 7091, 12229, 8457, 0};
static int joe_kuo_d6_initial_number06755[] = {1, 1, 1, 7, 19, 57, 83, 91, 297, 255, 1993, 63, 5337, 4569, 21243, 40867, 46969, 0};
static int joe_kuo_d6_initial_number06756[] = {1, 1, 3, 7, 13, 63, 91, 191, 281, 259, 1367, 3505, 5885, 10557, 12423, 56303, 14731, 0};
static int joe_kuo_d6_initial_number06757[] = {1, 1, 5, 15, 27, 15, 29, 67, 115, 287, 253, 1497, 3739, 2183, 14427, 44931, 11547, 0};
static int joe_kuo_d6_initial_number06758[] = {1, 3, 1, 9, 25, 61, 25, 113, 137, 819, 781, 3741, 2457, 7817, 31209, 20707, 93007, 0};
static int joe_kuo_d6_initial_number06759[] = {1, 1, 7, 3, 5, 13, 23, 3, 365, 77, 1117, 3061, 4707, 3013, 27899, 10887, 78677, 0};
static int joe_kuo_d6_initial_number06760[] = {1, 3, 1, 15, 1, 39, 85, 107, 483, 83, 603, 3121, 1995, 5241, 32319, 9515, 94551, 0};
static int joe_kuo_d6_initial_number06761[] = {1, 1, 7, 3, 27, 13, 105, 41, 285, 237, 1589, 517, 2009, 10833, 1459, 26217, 50759, 0};
static int joe_kuo_d6_initial_number06762[] = {1, 1, 3, 11, 27, 1, 127, 83, 355, 107, 1003, 657, 4997, 4123, 13151, 56601, 122307, 0};
static int joe_kuo_d6_initial_number06763[] = {1, 1, 1, 7, 13, 17, 93, 75, 481, 473, 131, 1359, 4859, 1319, 23919, 50079, 128849, 0};
static int joe_kuo_d6_initial_number06764[] = {1, 1, 3, 7, 9, 33, 111, 229, 11, 283, 1089, 3049, 1635, 959, 19109, 62821, 105391, 0};
static int joe_kuo_d6_initial_number06765[] = {1, 3, 1, 3, 9, 47, 49, 169, 343, 929, 1379, 1985, 5867, 6053, 12179, 39727, 116053, 0};
static int joe_kuo_d6_initial_number06766[] = {1, 3, 3, 15, 27, 39, 61, 113, 439, 719, 1313, 3701, 4793, 10275, 2943, 32405, 95457, 0};
static int joe_kuo_d6_initial_number06767[] = {1, 1, 1, 1, 27, 49, 121, 171, 319, 365, 1593, 1655, 63, 6257, 18097, 35285, 112245, 0};
static int joe_kuo_d6_initial_number06768[] = {1, 3, 1, 1, 19, 33, 89, 235, 281, 519, 1867, 525, 4475, 12059, 26611, 14789, 59541, 0};
static int joe_kuo_d6_initial_number06769[] = {1, 3, 1, 15, 1, 51, 65, 71, 131, 599, 117, 2459, 7421, 7157, 24393, 48139, 53701, 0};
static int joe_kuo_d6_initial_number06770[] = {1, 1, 7, 7, 1, 41, 57, 191, 207, 329, 43, 1235, 5671, 12243, 22549, 40751, 104513, 0};
static int joe_kuo_d6_initial_number06771[] = {1, 3, 5, 13, 15, 21, 55, 187, 283, 209, 1511, 1329, 6665, 15953, 4521, 16879, 57625, 0};
static int joe_kuo_d6_initial_number06772[] = {1, 1, 5, 3, 3, 53, 75, 123, 291, 663, 1893, 3669, 4903, 8575, 27971, 46977, 56357, 0};
static int joe_kuo_d6_initial_number06773[] = {1, 3, 1, 5, 27, 41, 19, 199, 489, 197, 439, 3299, 6315, 6957, 15809, 35297, 5559, 0};
static int joe_kuo_d6_initial_number06774[] = {1, 3, 5, 1, 3, 25, 109, 191, 33, 543, 125, 2309, 429, 14059, 3149, 45747, 47357, 0};
static int joe_kuo_d6_initial_number06775[] = {1, 1, 3, 11, 15, 61, 109, 103, 305, 1, 1479, 2781, 6521, 8921, 23681, 9583, 87257, 0};
static int joe_kuo_d6_initial_number06776[] = {1, 1, 7, 15, 5, 19, 121, 139, 177, 967, 1363, 705, 211, 11877, 22457, 34563, 7801, 0};
static int joe_kuo_d6_initial_number06777[] = {1, 1, 7, 13, 9, 21, 103, 95, 483, 567, 5, 2095, 4659, 2447, 23521, 27273, 85867, 0};
static int joe_kuo_d6_initial_number06778[] = {1, 3, 5, 15, 23, 55, 13, 237, 275, 113, 1431, 2931, 5165, 5317, 5625, 51865, 42177, 0};
static int joe_kuo_d6_initial_number06779[] = {1, 3, 3, 7, 1, 23, 15, 171, 303, 43, 1137, 1255, 3843, 9049, 1799, 7075, 2115, 0};
static int joe_kuo_d6_initial_number06780[] = {1, 1, 7, 5, 23, 53, 75, 129, 1, 511, 793, 265, 6535, 9641, 25173, 9449, 46949, 0};
static int joe_kuo_d6_initial_number06781[] = {1, 3, 3, 1, 19, 39, 51, 173, 5, 281, 2047, 4065, 3225, 14587, 16947, 1459, 87227, 0};
static int joe_kuo_d6_initial_number06782[] = {1, 3, 7, 13, 13, 53, 39, 115, 403, 37, 1533, 2727, 2229, 8291, 18687, 59553, 37629, 0};
static int joe_kuo_d6_initial_number06783[] = {1, 3, 1, 9, 3, 55, 63, 191, 147, 321, 1287, 2419, 6881, 2249, 11141, 54839, 50263, 0};
static int joe_kuo_d6_initial_number06784[] = {1, 1, 5, 3, 9, 61, 85, 139, 1, 409, 633, 53, 163, 14677, 13043, 12253, 106939, 0};
static int joe_kuo_d6_initial_number06785[] = {1, 1, 7, 3, 19, 3, 7, 165, 497, 621, 1563, 1267, 8113, 2383, 17205, 13337, 102547, 0};
static int joe_kuo_d6_initial_number06786[] = {1, 3, 3, 13, 15, 29, 23, 31, 481, 535, 471, 2125, 331, 9421, 29799, 27097, 5307, 0};
static int joe_kuo_d6_initial_number06787[] = {1, 1, 1, 1, 31, 45, 47, 139, 235, 509, 889, 685, 1855, 13599, 24431, 62105, 109509, 0};
static int joe_kuo_d6_initial_number06788[] = {1, 3, 1, 7, 3, 13, 25, 197, 111, 45, 1815, 1031, 4803, 349, 32369, 40837, 111529, 0};
static int joe_kuo_d6_initial_number06789[] = {1, 1, 7, 1, 27, 9, 3, 73, 403, 321, 967, 2713, 6953, 16123, 8611, 48651, 120635, 0};
static int joe_kuo_d6_initial_number06790[] = {1, 3, 5, 3, 3, 25, 69, 231, 249, 393, 1141, 1721, 7071, 3711, 15627, 21815, 104735, 0};
static int joe_kuo_d6_initial_number06791[] = {1, 3, 1, 11, 19, 63, 77, 5, 55, 481, 1021, 119, 3941, 1227, 10997, 29513, 18923, 0};
static int joe_kuo_d6_initial_number06792[] = {1, 3, 7, 5, 1, 11, 13, 99, 365, 797, 1993, 699, 3091, 11401, 3659, 15339, 90395, 0};
static int joe_kuo_d6_initial_number06793[] = {1, 3, 5, 7, 31, 43, 55, 143, 273, 379, 1189, 1689, 4811, 5159, 3281, 63819, 57065, 0};
static int joe_kuo_d6_initial_number06794[] = {1, 1, 1, 13, 9, 25, 9, 3, 461, 281, 959, 2439, 3187, 4837, 13857, 20221, 29733, 0};
static int joe_kuo_d6_initial_number06795[] = {1, 1, 7, 11, 31, 17, 13, 101, 81, 921, 1329, 2421, 2747, 9435, 23313, 7093, 7547, 0};
static int joe_kuo_d6_initial_number06796[] = {1, 1, 3, 3, 9, 51, 67, 95, 511, 1011, 1519, 4089, 5001, 1351, 15367, 50665, 92111, 0};
static int joe_kuo_d6_initial_number06797[] = {1, 1, 5, 13, 27, 43, 115, 77, 439, 589, 31, 915, 7027, 697, 25143, 1443, 59093, 0};
static int joe_kuo_d6_initial_number06798[] = {1, 1, 7, 3, 17, 5, 107, 117, 133, 649, 1309, 2979, 969, 9789, 12597, 24507, 106825, 0};
static int joe_kuo_d6_initial_number06799[] = {1, 1, 7, 13, 1, 27, 97, 35, 431, 183, 199, 2619, 515, 89, 20281, 30291, 97977, 0};
static int joe_kuo_d6_initial_number06800[] = {1, 1, 7, 1, 31, 9, 35, 11, 359, 21, 1875, 3227, 1307, 15691, 17343, 21163, 84671, 0};
static int joe_kuo_d6_initial_number06801[] = {1, 3, 1, 11, 29, 21, 47, 137, 441, 841, 1641, 3283, 1371, 8835, 16287, 45009, 13779, 0};
static int joe_kuo_d6_initial_number06802[] = {1, 1, 3, 9, 23, 53, 1, 99, 473, 649, 447, 2589, 5667, 15579, 6497, 44321, 46993, 0};
static int joe_kuo_d6_initial_number06803[] = {1, 1, 7, 9, 31, 63, 95, 81, 197, 373, 1027, 3959, 7189, 13369, 17287, 53643, 12673, 0};
static int joe_kuo_d6_initial_number06804[] = {1, 3, 1, 5, 25, 61, 79, 183, 489, 725, 1077, 1147, 113, 7357, 27505, 529, 61855, 0};
static int joe_kuo_d6_initial_number06805[] = {1, 1, 7, 11, 19, 35, 73, 223, 125, 765, 1303, 2887, 7861, 14839, 9537, 27027, 94327, 0};
static int joe_kuo_d6_initial_number06806[] = {1, 3, 1, 3, 17, 35, 63, 233, 317, 133, 1837, 3339, 4351, 10071, 5005, 13245, 34327, 0};
static int joe_kuo_d6_initial_number06807[] = {1, 3, 1, 3, 17, 13, 59, 113, 247, 1015, 1831, 3391, 6337, 6853, 7145, 64309, 40109, 0};
static int joe_kuo_d6_initial_number06808[] = {1, 3, 5, 13, 15, 23, 65, 203, 241, 545, 1521, 1253, 3171, 7777, 21145, 565, 87813, 0};
static int joe_kuo_d6_initial_number06809[] = {1, 1, 5, 15, 31, 9, 9, 145, 409, 155, 409, 2935, 5817, 11427, 32617, 38167, 69465, 0};
static int joe_kuo_d6_initial_number06810[] = {1, 1, 5, 11, 19, 31, 43, 85, 97, 931, 687, 1501, 3991, 2215, 11091, 64735, 56999, 0};
static int joe_kuo_d6_initial_number06811[] = {1, 1, 1, 3, 7, 11, 101, 21, 345, 829, 531, 1475, 6617, 1187, 26885, 32135, 9733, 0};
static int joe_kuo_d6_initial_number06812[] = {1, 3, 5, 11, 7, 49, 79, 197, 57, 15, 1845, 1485, 6167, 10887, 17083, 59367, 7411, 0};
static int joe_kuo_d6_initial_number06813[] = {1, 3, 7, 5, 9, 33, 7, 91, 311, 847, 1435, 3573, 3693, 5369, 26817, 30105, 115337, 0};
static int joe_kuo_d6_initial_number06814[] = {1, 3, 1, 9, 25, 43, 65, 69, 225, 337, 575, 1979, 5555, 8499, 8127, 33035, 52549, 0};
static int joe_kuo_d6_initial_number06815[] = {1, 1, 3, 11, 17, 29, 71, 99, 379, 145, 1067, 2561, 7635, 5647, 32491, 56621, 93603, 0};
static int joe_kuo_d6_initial_number06816[] = {1, 1, 5, 13, 25, 43, 75, 237, 407, 393, 1219, 3651, 7719, 11685, 26123, 62767, 1043, 0};
static int joe_kuo_d6_initial_number06817[] = {1, 1, 7, 15, 13, 59, 9, 163, 273, 225, 873, 3201, 633, 6121, 18777, 58763, 77731, 0};
static int joe_kuo_d6_initial_number06818[] = {1, 3, 7, 7, 3, 7, 99, 155, 279, 991, 799, 753, 7205, 9567, 23643, 38263, 19083, 0};
static int joe_kuo_d6_initial_number06819[] = {1, 3, 7, 11, 11, 29, 65, 3, 207, 575, 253, 2407, 7935, 11323, 23239, 1923, 47737, 0};
static int joe_kuo_d6_initial_number06820[] = {1, 1, 5, 9, 25, 47, 1, 25, 397, 1009, 193, 4031, 3023, 2029, 10561, 32363, 104405, 0};
static int joe_kuo_d6_initial_number06821[] = {1, 3, 7, 9, 19, 55, 63, 179, 385, 97, 461, 3393, 8137, 8929, 17621, 9611, 58925, 0};
static int joe_kuo_d6_initial_number06822[] = {1, 1, 1, 7, 1, 17, 127, 45, 157, 529, 809, 3545, 5173, 5083, 13325, 52295, 91261, 0};
static int joe_kuo_d6_initial_number06823[] = {1, 1, 7, 9, 25, 49, 99, 79, 157, 535, 1569, 2195, 1725, 1187, 18423, 47957, 10043, 0};
static int joe_kuo_d6_initial_number06824[] = {1, 1, 3, 7, 3, 31, 83, 45, 199, 665, 1261, 3497, 7885, 5761, 17187, 12041, 12867, 0};
static int joe_kuo_d6_initial_number06825[] = {1, 3, 1, 7, 3, 55, 73, 215, 41, 1011, 1883, 1051, 7293, 1881, 27435, 29459, 130933, 0};
static int joe_kuo_d6_initial_number06826[] = {1, 1, 3, 9, 21, 31, 113, 209, 35, 771, 365, 3151, 787, 3845, 26555, 13823, 36951, 0};
static int joe_kuo_d6_initial_number06827[] = {1, 3, 7, 15, 13, 21, 119, 91, 15, 251, 1337, 2715, 1665, 3451, 8309, 11033, 127159, 0};
static int joe_kuo_d6_initial_number06828[] = {1, 3, 1, 9, 9, 63, 5, 145, 357, 9, 859, 1565, 1141, 14689, 25121, 41337, 83357, 0};
static int joe_kuo_d6_initial_number06829[] = {1, 1, 7, 11, 13, 63, 57, 151, 33, 595, 2025, 571, 4713, 11019, 26771, 16221, 92439, 0};
static int joe_kuo_d6_initial_number06830[] = {1, 3, 3, 15, 29, 49, 93, 131, 167, 835, 33, 263, 93, 8475, 16139, 61237, 95081, 0};
static int joe_kuo_d6_initial_number06831[] = {1, 1, 7, 13, 1, 57, 43, 91, 485, 841, 1415, 3083, 2665, 8521, 9825, 59955, 21763, 0};
static int joe_kuo_d6_initial_number06832[] = {1, 1, 1, 1, 29, 47, 63, 107, 439, 847, 537, 2011, 7571, 3699, 23961, 54887, 92681, 0};
static int joe_kuo_d6_initial_number06833[] = {1, 3, 7, 5, 27, 41, 105, 161, 95, 821, 451, 2627, 4687, 1899, 18851, 35167, 6869, 0};
static int joe_kuo_d6_initial_number06834[] = {1, 1, 1, 11, 7, 7, 13, 163, 399, 471, 1587, 2561, 1241, 5365, 27189, 49883, 68101, 0};
static int joe_kuo_d6_initial_number06835[] = {1, 3, 7, 9, 19, 5, 119, 251, 151, 359, 235, 2387, 3919, 7135, 17591, 1053, 6265, 0};
static int joe_kuo_d6_initial_number06836[] = {1, 1, 5, 9, 13, 25, 43, 23, 453, 693, 517, 1235, 1045, 4299, 27877, 3733, 72269, 0};
static int joe_kuo_d6_initial_number06837[] = {1, 1, 7, 1, 27, 43, 103, 249, 487, 67, 855, 3239, 2157, 8121, 4701, 37803, 49971, 0};
static int joe_kuo_d6_initial_number06838[] = {1, 1, 3, 13, 1, 37, 125, 115, 365, 57, 1419, 4085, 7039, 10079, 14991, 48861, 61979, 0};
static int joe_kuo_d6_initial_number06839[] = {1, 1, 5, 5, 3, 35, 109, 19, 219, 653, 1219, 1625, 6847, 11271, 4525, 56341, 57801, 0};
static int joe_kuo_d6_initial_number06840[] = {1, 3, 7, 5, 31, 19, 37, 73, 185, 13, 1723, 1139, 5919, 11717, 27161, 13635, 51765, 0};
static int joe_kuo_d6_initial_number06841[] = {1, 1, 1, 1, 19, 61, 53, 111, 215, 189, 1199, 591, 943, 2111, 17171, 15621, 128459, 0};
static int joe_kuo_d6_initial_number06842[] = {1, 1, 7, 9, 17, 61, 101, 159, 85, 537, 15, 1427, 6139, 4091, 32639, 28655, 115385, 0};
static int joe_kuo_d6_initial_number06843[] = {1, 1, 7, 5, 23, 31, 125, 7, 151, 967, 1079, 4059, 3287, 11673, 19307, 49469, 65981, 0};
static int joe_kuo_d6_initial_number06844[] = {1, 3, 3, 1, 29, 59, 95, 119, 31, 427, 1653, 721, 5509, 6385, 17043, 45133, 74155, 0};
static int joe_kuo_d6_initial_number06845[] = {1, 1, 3, 9, 13, 61, 35, 189, 1, 559, 119, 3719, 4137, 1369, 19147, 10923, 43909, 0};
static int joe_kuo_d6_initial_number06846[] = {1, 3, 3, 13, 1, 41, 31, 185, 451, 379, 29, 153, 4121, 13153, 4171, 36993, 109241, 0};
static int joe_kuo_d6_initial_number06847[] = {1, 1, 1, 9, 15, 41, 99, 17, 21, 93, 649, 2765, 6955, 10843, 12547, 64989, 63713, 0};
static int joe_kuo_d6_initial_number06848[] = {1, 1, 7, 5, 5, 5, 73, 187, 473, 235, 1907, 409, 7335, 4429, 7493, 20703, 14505, 0};
static int joe_kuo_d6_initial_number06849[] = {1, 1, 3, 11, 27, 59, 17, 103, 337, 117, 1241, 951, 3701, 10407, 16741, 46531, 56485, 0};
static int joe_kuo_d6_initial_number06850[] = {1, 1, 3, 15, 11, 51, 111, 189, 137, 939, 97, 1563, 851, 13949, 1375, 41463, 61445, 0};
static int joe_kuo_d6_initial_number06851[] = {1, 1, 7, 9, 19, 39, 117, 173, 165, 547, 483, 361, 6819, 15093, 13631, 29785, 29593, 0};
static int joe_kuo_d6_initial_number06852[] = {1, 3, 3, 5, 15, 39, 41, 249, 455, 79, 233, 3133, 405, 9487, 23161, 32751, 117743, 0};
static int joe_kuo_d6_initial_number06853[] = {1, 1, 5, 15, 7, 63, 7, 57, 127, 349, 1913, 1145, 3371, 3733, 30971, 35717, 60935, 0};
static int joe_kuo_d6_initial_number06854[] = {1, 1, 7, 11, 7, 57, 49, 63, 51, 233, 855, 2125, 6961, 15011, 28503, 40549, 47175, 0};
static int joe_kuo_d6_initial_number06855[] = {1, 3, 7, 1, 25, 49, 35, 39, 237, 545, 1637, 1401, 3279, 10499, 14463, 34973, 29485, 0};
static int joe_kuo_d6_initial_number06856[] = {1, 3, 3, 13, 7, 13, 79, 141, 55, 277, 843, 3087, 2339, 6855, 10635, 13021, 11273, 0};
static int joe_kuo_d6_initial_number06857[] = {1, 3, 1, 1, 11, 39, 51, 255, 119, 691, 559, 3287, 5485, 791, 19283, 51027, 8061, 0};
static int joe_kuo_d6_initial_number06858[] = {1, 3, 7, 7, 3, 59, 119, 241, 185, 81, 1843, 2313, 7471, 15689, 2271, 59781, 107439, 0};
static int joe_kuo_d6_initial_number06859[] = {1, 3, 3, 3, 17, 63, 93, 217, 329, 39, 583, 3031, 4315, 4623, 12557, 42063, 11877, 0};
static int joe_kuo_d6_initial_number06860[] = {1, 1, 1, 1, 15, 57, 37, 233, 387, 639, 37, 425, 637, 1577, 16449, 33665, 80417, 0};
static int joe_kuo_d6_initial_number06861[] = {1, 1, 1, 15, 25, 1, 67, 159, 423, 961, 959, 417, 5657, 8417, 8127, 29251, 105893, 0};
static int joe_kuo_d6_initial_number06862[] = {1, 3, 5, 15, 31, 9, 87, 217, 259, 771, 1663, 2899, 1531, 7849, 1961, 61487, 55399, 0};
static int joe_kuo_d6_initial_number06863[] = {1, 1, 3, 9, 21, 13, 39, 107, 89, 811, 449, 2569, 4617, 8977, 1649, 37721, 48943, 0};
static int joe_kuo_d6_initial_number06864[] = {1, 3, 7, 15, 15, 59, 63, 195, 287, 677, 269, 1715, 3545, 3269, 5231, 46433, 25921, 0};
static int joe_kuo_d6_initial_number06865[] = {1, 1, 5, 7, 19, 27, 57, 221, 243, 47, 1791, 2309, 2751, 4403, 7083, 34223, 64905, 0};
static int joe_kuo_d6_initial_number06866[] = {1, 1, 1, 15, 1, 63, 119, 155, 383, 649, 429, 3857, 7309, 9823, 9539, 8933, 128573, 0};
static int joe_kuo_d6_initial_number06867[] = {1, 3, 7, 11, 17, 19, 99, 19, 321, 415, 1501, 2123, 6119, 9705, 11397, 39521, 34327, 0};
static int joe_kuo_d6_initial_number06868[] = {1, 1, 5, 15, 29, 37, 9, 95, 417, 19, 1637, 2949, 4961, 10743, 9619, 16045, 48083, 0};
static int joe_kuo_d6_initial_number06869[] = {1, 1, 1, 11, 21, 17, 57, 23, 247, 201, 1781, 779, 2207, 2511, 4829, 13847, 77593, 0};
static int joe_kuo_d6_initial_number06870[] = {1, 3, 1, 13, 7, 1, 95, 87, 223, 73, 1129, 383, 1355, 4965, 29645, 63465, 76281, 0};
static int joe_kuo_d6_initial_number06871[] = {1, 3, 3, 13, 3, 47, 33, 123, 155, 621, 1019, 1817, 4083, 4723, 24701, 47503, 18007, 0};
static int joe_kuo_d6_initial_number06872[] = {1, 1, 7, 15, 13, 41, 73, 93, 379, 923, 1183, 2475, 5901, 10599, 10053, 9941, 112107, 0};
static int joe_kuo_d6_initial_number06873[] = {1, 1, 3, 3, 13, 35, 59, 231, 45, 1011, 1101, 2467, 2703, 10305, 12575, 7587, 25737, 0};
static int joe_kuo_d6_initial_number06874[] = {1, 3, 7, 1, 21, 31, 9, 55, 373, 779, 397, 1551, 5139, 16339, 1769, 10413, 74059, 0};
static int joe_kuo_d6_initial_number06875[] = {1, 1, 7, 15, 7, 3, 67, 179, 411, 217, 1219, 13, 1577, 13463, 12263, 41465, 83001, 0};
static int joe_kuo_d6_initial_number06876[] = {1, 3, 7, 1, 21, 53, 7, 187, 395, 777, 391, 737, 47, 12681, 16749, 26507, 49415, 0};
static int joe_kuo_d6_initial_number06877[] = {1, 1, 5, 7, 5, 57, 93, 53, 419, 731, 825, 487, 45, 9199, 20947, 56067, 45343, 0};
static int joe_kuo_d6_initial_number06878[] = {1, 3, 3, 9, 31, 41, 35, 133, 63, 293, 1503, 51, 3111, 15711, 15051, 1965, 64951, 0};
static int joe_kuo_d6_initial_number06879[] = {1, 1, 5, 9, 9, 47, 53, 229, 405, 621, 1795, 1923, 6609, 6983, 1695, 18021, 71893, 0};
static int joe_kuo_d6_initial_number06880[] = {1, 1, 5, 9, 23, 13, 107, 13, 149, 759, 1113, 1329, 1747, 14159, 16705, 61841, 82955, 0};
static int joe_kuo_d6_initial_number06881[] = {1, 3, 3, 9, 25, 49, 31, 145, 481, 609, 1847, 1485, 6345, 7859, 21231, 37303, 69975, 0};
static int joe_kuo_d6_initial_number06882[] = {1, 3, 1, 15, 13, 49, 59, 221, 27, 517, 431, 3961, 6401, 8483, 10161, 37453, 128237, 0};
static int joe_kuo_d6_initial_number06883[] = {1, 1, 3, 1, 3, 55, 37, 111, 263, 735, 655, 2831, 2219, 9449, 8413, 49585, 91355, 0};
static int joe_kuo_d6_initial_number06884[] = {1, 3, 7, 1, 31, 33, 7, 55, 261, 977, 1215, 1967, 7297, 14815, 27009, 35001, 89671, 0};
static int joe_kuo_d6_initial_number06885[] = {1, 1, 7, 11, 13, 21, 33, 151, 195, 373, 181, 1631, 355, 7857, 12555, 7531, 50417, 0};
static int joe_kuo_d6_initial_number06886[] = {1, 3, 1, 15, 19, 25, 79, 195, 237, 385, 1531, 2509, 4371, 16103, 3575, 62265, 124251, 0};
static int joe_kuo_d6_initial_number06887[] = {1, 3, 1, 11, 5, 61, 21, 159, 51, 37, 845, 3075, 8039, 14269, 10505, 36369, 73793, 0};
static int joe_kuo_d6_initial_number06888[] = {1, 3, 5, 9, 11, 43, 67, 57, 271, 451, 989, 3705, 2481, 10717, 10861, 63785, 10183, 0};
static int joe_kuo_d6_initial_number06889[] = {1, 3, 3, 5, 13, 29, 119, 171, 439, 459, 479, 3173, 3781, 11131, 6827, 53925, 119939, 0};
static int joe_kuo_d6_initial_number06890[] = {1, 3, 7, 3, 27, 21, 1, 167, 79, 305, 1283, 1903, 5483, 5727, 17911, 16075, 97629, 0};
static int joe_kuo_d6_initial_number06891[] = {1, 3, 1, 3, 23, 21, 29, 185, 227, 295, 915, 2033, 6269, 2089, 20785, 15207, 115675, 0};
static int joe_kuo_d6_initial_number06892[] = {1, 3, 7, 15, 11, 15, 65, 103, 249, 27, 1805, 2079, 4797, 2535, 16865, 61449, 90923, 0};
static int joe_kuo_d6_initial_number06893[] = {1, 3, 7, 9, 27, 41, 77, 181, 457, 677, 633, 1601, 8085, 2431, 7957, 55913, 38677, 0};
static int joe_kuo_d6_initial_number06894[] = {1, 1, 5, 7, 11, 37, 3, 221, 79, 895, 1023, 653, 3925, 12755, 19729, 18221, 91123, 0};
static int joe_kuo_d6_initial_number06895[] = {1, 3, 1, 5, 23, 61, 119, 191, 425, 41, 853, 3497, 6915, 1927, 5513, 55303, 4895, 0};
static int joe_kuo_d6_initial_number06896[] = {1, 3, 5, 3, 7, 35, 47, 243, 167, 821, 267, 2149, 5797, 6329, 32495, 51037, 18313, 0};
static int joe_kuo_d6_initial_number06897[] = {1, 1, 7, 9, 23, 29, 79, 205, 115, 839, 1217, 479, 1601, 9681, 1, 35293, 28731, 0};
static int joe_kuo_d6_initial_number06898[] = {1, 3, 3, 5, 31, 17, 31, 161, 35, 953, 377, 451, 7985, 11371, 15115, 60131, 27033, 0};
static int joe_kuo_d6_initial_number06899[] = {1, 1, 3, 9, 15, 19, 43, 215, 327, 429, 145, 1837, 725, 14775, 10465, 7367, 21271, 0};
static int joe_kuo_d6_initial_number06900[] = {1, 3, 7, 13, 31, 17, 85, 49, 487, 795, 1679, 599, 3783, 3195, 2683, 53475, 38603, 0};
static int joe_kuo_d6_initial_number06901[] = {1, 1, 1, 7, 19, 11, 71, 143, 443, 199, 1117, 3445, 6429, 12037, 13751, 43609, 101563, 0};
static int joe_kuo_d6_initial_number06902[] = {1, 3, 5, 7, 29, 63, 65, 87, 305, 721, 851, 2235, 4987, 3051, 23015, 1281, 15755, 0};
static int joe_kuo_d6_initial_number06903[] = {1, 1, 3, 9, 17, 3, 57, 47, 223, 305, 1409, 235, 4379, 5779, 27695, 22535, 9387, 0};
static int joe_kuo_d6_initial_number06904[] = {1, 1, 3, 11, 25, 33, 75, 141, 155, 699, 85, 1729, 2551, 7101, 7739, 18025, 100819, 0};
static int joe_kuo_d6_initial_number06905[] = {1, 3, 3, 13, 5, 45, 63, 83, 141, 383, 1931, 3343, 7397, 4823, 28893, 41279, 67805, 0};
static int joe_kuo_d6_initial_number06906[] = {1, 3, 5, 7, 19, 29, 97, 67, 177, 583, 1783, 4007, 5087, 805, 30999, 23197, 117553, 0};
static int joe_kuo_d6_initial_number06907[] = {1, 3, 5, 1, 25, 41, 33, 109, 511, 449, 653, 995, 5881, 2163, 13689, 54385, 97419, 0};
static int joe_kuo_d6_initial_number06908[] = {1, 3, 3, 13, 25, 17, 49, 77, 497, 659, 783, 3513, 3735, 3541, 573, 50237, 99247, 0};
static int joe_kuo_d6_initial_number06909[] = {1, 3, 1, 7, 17, 13, 37, 169, 19, 965, 289, 455, 6855, 11233, 7553, 7007, 57389, 0};
static int joe_kuo_d6_initial_number06910[] = {1, 1, 7, 11, 5, 15, 11, 177, 75, 243, 453, 3861, 3091, 4625, 12489, 11537, 74199, 0};
static int joe_kuo_d6_initial_number06911[] = {1, 1, 5, 13, 17, 21, 23, 57, 343, 985, 1755, 3947, 3899, 11847, 19321, 62295, 51265, 0};
static int joe_kuo_d6_initial_number06912[] = {1, 1, 3, 9, 19, 37, 31, 243, 433, 725, 535, 3733, 33, 7885, 1425, 41919, 66507, 0};
static int joe_kuo_d6_initial_number06913[] = {1, 3, 5, 11, 15, 11, 25, 255, 93, 33, 71, 2389, 1855, 317, 12773, 13311, 81927, 0};
static int joe_kuo_d6_initial_number06914[] = {1, 3, 1, 3, 7, 55, 21, 175, 357, 235, 1679, 931, 2051, 14213, 20539, 38049, 122513, 0};
static int joe_kuo_d6_initial_number06915[] = {1, 1, 5, 15, 5, 51, 127, 79, 297, 135, 1423, 2783, 7229, 14451, 27619, 7299, 49189, 0};
static int joe_kuo_d6_initial_number06916[] = {1, 1, 1, 3, 5, 13, 9, 209, 455, 483, 1745, 323, 789, 7645, 26373, 61659, 23671, 0};
static int joe_kuo_d6_initial_number06917[] = {1, 1, 1, 9, 23, 63, 99, 91, 377, 275, 275, 3005, 1563, 5945, 23825, 33211, 52753, 0};
static int joe_kuo_d6_initial_number06918[] = {1, 1, 1, 1, 31, 55, 31, 109, 481, 581, 771, 197, 6155, 3465, 8451, 25925, 41159, 0};
static int joe_kuo_d6_initial_number06919[] = {1, 3, 7, 13, 5, 33, 113, 161, 265, 493, 1723, 513, 5111, 10177, 21755, 5321, 58831, 0};
static int joe_kuo_d6_initial_number06920[] = {1, 1, 7, 1, 21, 33, 117, 183, 89, 689, 1253, 2215, 6565, 3079, 16343, 22427, 96447, 0};
static int joe_kuo_d6_initial_number06921[] = {1, 1, 1, 5, 15, 61, 5, 139, 111, 463, 573, 1907, 4615, 14975, 5715, 51017, 69827, 0};
static int joe_kuo_d6_initial_number06922[] = {1, 1, 1, 13, 3, 3, 117, 249, 25, 361, 1177, 2901, 1601, 11381, 18981, 44811, 47117, 0};
static int joe_kuo_d6_initial_number06923[] = {1, 1, 5, 3, 29, 5, 49, 221, 247, 57, 553, 1889, 479, 15581, 7035, 7293, 53065, 0};
static int joe_kuo_d6_initial_number06924[] = {1, 3, 3, 3, 15, 49, 91, 187, 213, 981, 1417, 211, 3719, 13693, 17671, 16691, 57147, 0};
static int joe_kuo_d6_initial_number06925[] = {1, 1, 7, 9, 7, 17, 109, 185, 459, 769, 1783, 899, 885, 2291, 30023, 26315, 7337, 0};
static int joe_kuo_d6_initial_number06926[] = {1, 1, 5, 11, 11, 31, 73, 191, 95, 25, 1953, 1387, 1077, 7547, 9661, 57739, 76799, 0};
static int joe_kuo_d6_initial_number06927[] = {1, 1, 7, 13, 23, 41, 69, 177, 407, 699, 1055, 3653, 1239, 8113, 12823, 1803, 117815, 0};
static int joe_kuo_d6_initial_number06928[] = {1, 1, 1, 15, 1, 55, 71, 133, 401, 593, 605, 2855, 4569, 3533, 14141, 65457, 125655, 0};
static int joe_kuo_d6_initial_number06929[] = {1, 1, 7, 9, 31, 55, 53, 11, 65, 17, 561, 925, 1561, 8929, 19859, 57111, 12777, 0};
static int joe_kuo_d6_initial_number06930[] = {1, 3, 3, 11, 7, 59, 125, 205, 473, 655, 1429, 337, 6829, 7551, 27873, 11667, 39231, 0};
static int joe_kuo_d6_initial_number06931[] = {1, 3, 3, 9, 13, 23, 25, 161, 443, 545, 1967, 1895, 6929, 5975, 17801, 41769, 30429, 0};
static int joe_kuo_d6_initial_number06932[] = {1, 3, 7, 13, 15, 1, 99, 43, 45, 451, 21, 639, 7121, 4781, 2813, 419, 17761, 0};
static int joe_kuo_d6_initial_number06933[] = {1, 1, 5, 13, 11, 9, 53, 83, 443, 441, 1601, 3177, 1913, 12211, 25835, 1733, 4793, 0};
static int joe_kuo_d6_initial_number06934[] = {1, 3, 3, 1, 13, 15, 11, 187, 471, 699, 1751, 3279, 2305, 15259, 31541, 21357, 73763, 0};
static int joe_kuo_d6_initial_number06935[] = {1, 3, 5, 9, 23, 11, 125, 57, 261, 479, 879, 719, 3221, 2943, 10593, 11521, 83979, 0};
static int joe_kuo_d6_initial_number06936[] = {1, 3, 7, 13, 3, 39, 119, 135, 85, 417, 1675, 971, 7577, 12709, 20407, 26105, 97021, 0};
static int joe_kuo_d6_initial_number06937[] = {1, 1, 5, 11, 15, 63, 83, 141, 281, 663, 1745, 2775, 5605, 9127, 553, 7177, 115969, 0};
static int joe_kuo_d6_initial_number06938[] = {1, 1, 7, 1, 19, 47, 7, 165, 87, 95, 361, 1879, 6351, 2861, 9103, 37489, 24525, 0};
static int joe_kuo_d6_initial_number06939[] = {1, 3, 3, 11, 9, 21, 51, 149, 375, 967, 1583, 1427, 1223, 11611, 7481, 36619, 128429, 0};
static int joe_kuo_d6_initial_number06940[] = {1, 1, 5, 1, 3, 31, 7, 217, 453, 565, 1517, 2847, 6937, 1197, 24339, 44311, 66843, 0};
static int joe_kuo_d6_initial_number06941[] = {1, 1, 5, 3, 3, 17, 127, 59, 3, 905, 531, 1179, 3559, 5175, 24627, 60941, 129457, 0};
static int joe_kuo_d6_initial_number06942[] = {1, 1, 1, 7, 15, 15, 1, 31, 373, 643, 279, 3831, 4881, 9763, 17641, 43219, 83109, 0};
static int joe_kuo_d6_initial_number06943[] = {1, 3, 3, 9, 5, 21, 41, 71, 371, 201, 573, 1481, 3631, 10783, 6679, 1089, 117347, 0};
static int joe_kuo_d6_initial_number06944[] = {1, 1, 7, 7, 5, 25, 73, 63, 173, 197, 147, 981, 1491, 1597, 11733, 14285, 74021, 0};
static int joe_kuo_d6_initial_number06945[] = {1, 1, 5, 11, 17, 15, 3, 175, 391, 503, 1745, 319, 791, 5607, 18173, 37319, 92025, 0};
static int joe_kuo_d6_initial_number06946[] = {1, 3, 1, 1, 9, 37, 43, 81, 439, 951, 805, 251, 4625, 15617, 13715, 62263, 3827, 0};
static int joe_kuo_d6_initial_number06947[] = {1, 3, 1, 1, 25, 21, 67, 191, 499, 205, 1355, 105, 1637, 563, 22291, 9045, 6545, 0};
static int joe_kuo_d6_initial_number06948[] = {1, 1, 5, 5, 9, 3, 75, 75, 287, 303, 1767, 1789, 3437, 4637, 9605, 2537, 64935, 0};
static int joe_kuo_d6_initial_number06949[] = {1, 1, 3, 3, 1, 51, 27, 155, 375, 149, 885, 187, 1551, 13109, 27011, 57301, 41047, 0};
static int joe_kuo_d6_initial_number06950[] = {1, 1, 7, 5, 21, 23, 1, 81, 163, 231, 2039, 1519, 1279, 15379, 25549, 6711, 81499, 0};
static int joe_kuo_d6_initial_number06951[] = {1, 1, 3, 5, 3, 37, 71, 243, 165, 365, 379, 351, 4649, 4287, 13395, 30329, 78383, 0};
static int joe_kuo_d6_initial_number06952[] = {1, 3, 1, 1, 25, 63, 27, 215, 223, 699, 2029, 3737, 5947, 7287, 20813, 4931, 19345, 0};
static int joe_kuo_d6_initial_number06953[] = {1, 1, 3, 15, 21, 7, 25, 187, 219, 53, 1749, 1797, 3533, 14307, 53, 11095, 75469, 0};
static int joe_kuo_d6_initial_number06954[] = {1, 1, 3, 13, 27, 31, 91, 121, 481, 291, 915, 535, 4291, 5271, 12181, 55921, 125917, 0};
static int joe_kuo_d6_initial_number06955[] = {1, 3, 1, 1, 3, 29, 21, 251, 361, 747, 997, 2989, 1809, 7235, 17855, 31027, 100689, 0};
static int joe_kuo_d6_initial_number06956[] = {1, 3, 7, 1, 21, 13, 49, 93, 183, 673, 881, 1931, 7009, 2565, 26021, 53815, 19807, 0};
static int joe_kuo_d6_initial_number06957[] = {1, 1, 7, 13, 9, 23, 47, 237, 487, 843, 1357, 919, 1753, 903, 2911, 31527, 73027, 0};
static int joe_kuo_d6_initial_number06958[] = {1, 1, 1, 1, 25, 33, 97, 241, 421, 375, 73, 2541, 6231, 14659, 15335, 5915, 110791, 0};
static int joe_kuo_d6_initial_number06959[] = {1, 3, 3, 7, 21, 17, 97, 125, 7, 271, 167, 475, 4887, 1847, 30173, 25913, 36659, 0};
static int joe_kuo_d6_initial_number06960[] = {1, 1, 3, 15, 15, 37, 67, 5, 463, 423, 823, 941, 1551, 14175, 15377, 6017, 118297, 0};
static int joe_kuo_d6_initial_number06961[] = {1, 1, 1, 7, 31, 51, 71, 127, 73, 517, 881, 3205, 6219, 11213, 14783, 64275, 70033, 0};
static int joe_kuo_d6_initial_number06962[] = {1, 3, 1, 5, 17, 17, 57, 107, 359, 999, 1415, 757, 4743, 7775, 14111, 20075, 73269, 0};
static int joe_kuo_d6_initial_number06963[] = {1, 3, 5, 3, 21, 57, 87, 43, 307, 777, 717, 3329, 4159, 12545, 31355, 31329, 41377, 0};
static int joe_kuo_d6_initial_number06964[] = {1, 3, 7, 15, 25, 43, 19, 147, 487, 517, 977, 3625, 2311, 14173, 15167, 56563, 110417, 0};
static int joe_kuo_d6_initial_number06965[] = {1, 3, 3, 11, 23, 1, 67, 157, 461, 169, 231, 1977, 5657, 865, 711, 24213, 76895, 0};
static int joe_kuo_d6_initial_number06966[] = {1, 1, 7, 13, 5, 37, 51, 165, 331, 97, 431, 3819, 1379, 12083, 27521, 19689, 100119, 0};
static int joe_kuo_d6_initial_number06967[] = {1, 1, 7, 15, 29, 21, 59, 193, 397, 467, 951, 3037, 2955, 13235, 20981, 63865, 30069, 0};
static int joe_kuo_d6_initial_number06968[] = {1, 3, 3, 5, 7, 49, 41, 143, 319, 71, 353, 2159, 3043, 15317, 24095, 12017, 64393, 0};
static int joe_kuo_d6_initial_number06969[] = {1, 1, 5, 13, 25, 45, 57, 153, 311, 805, 953, 1763, 5655, 3961, 12085, 58761, 76533, 0};
static int joe_kuo_d6_initial_number06970[] = {1, 1, 3, 15, 29, 19, 71, 107, 203, 221, 1173, 1597, 1179, 9649, 21659, 10463, 8195, 0};
static int joe_kuo_d6_initial_number06971[] = {1, 1, 3, 9, 31, 29, 53, 151, 247, 577, 543, 459, 8141, 5613, 12029, 24199, 118603, 0};
static int joe_kuo_d6_initial_number06972[] = {1, 3, 1, 5, 1, 55, 103, 23, 405, 5, 181, 3805, 1103, 13389, 6725, 48733, 99639, 0};
static int joe_kuo_d6_initial_number06973[] = {1, 1, 5, 9, 1, 47, 115, 231, 151, 885, 427, 2849, 361, 12969, 705, 41711, 53587, 0};
static int joe_kuo_d6_initial_number06974[] = {1, 1, 3, 11, 9, 3, 11, 231, 77, 775, 657, 2721, 3431, 11919, 10425, 29405, 91561, 0};
static int joe_kuo_d6_initial_number06975[] = {1, 1, 1, 5, 5, 7, 79, 41, 181, 333, 963, 3117, 7703, 2259, 16671, 51139, 27997, 0};
static int joe_kuo_d6_initial_number06976[] = {1, 3, 7, 7, 13, 55, 59, 157, 377, 711, 1475, 1509, 1375, 6825, 13729, 28613, 109199, 0};
static int joe_kuo_d6_initial_number06977[] = {1, 3, 3, 3, 13, 11, 51, 1, 67, 609, 467, 2161, 7693, 9019, 1847, 27969, 74863, 0};
static int joe_kuo_d6_initial_number06978[] = {1, 1, 3, 3, 11, 33, 87, 217, 239, 505, 1451, 2801, 1417, 695, 29883, 15877, 99969, 0};
static int joe_kuo_d6_initial_number06979[] = {1, 3, 3, 5, 3, 61, 9, 171, 57, 547, 2003, 2335, 2259, 3205, 5639, 21721, 25893, 0};
static int joe_kuo_d6_initial_number06980[] = {1, 3, 1, 3, 19, 15, 83, 69, 47, 897, 627, 2839, 7123, 8567, 14707, 13159, 125139, 0};
static int joe_kuo_d6_initial_number06981[] = {1, 3, 7, 11, 1, 59, 53, 33, 135, 1009, 1829, 3011, 1245, 421, 28909, 45517, 55071, 0};
static int joe_kuo_d6_initial_number06982[] = {1, 1, 5, 9, 3, 27, 11, 243, 235, 683, 1329, 3145, 2141, 14027, 3707, 5933, 51965, 0};
static int joe_kuo_d6_initial_number06983[] = {1, 1, 5, 7, 13, 63, 79, 105, 27, 195, 1657, 3107, 1245, 1681, 29619, 10589, 78197, 0};
static int joe_kuo_d6_initial_number06984[] = {1, 3, 3, 7, 21, 1, 5, 79, 73, 125, 1587, 3053, 5977, 10745, 28343, 39023, 56201, 0};
static int joe_kuo_d6_initial_number06985[] = {1, 1, 3, 15, 23, 21, 39, 41, 173, 913, 1267, 1323, 2967, 1979, 16763, 53753, 21905, 0};
static int joe_kuo_d6_initial_number06986[] = {1, 1, 5, 7, 11, 11, 117, 151, 409, 345, 1461, 1703, 687, 557, 31651, 35507, 54909, 0};
static int joe_kuo_d6_initial_number06987[] = {1, 1, 1, 15, 15, 49, 55, 223, 289, 765, 1737, 1117, 3717, 15465, 31949, 55061, 97091, 0};
static int joe_kuo_d6_initial_number06988[] = {1, 1, 5, 9, 21, 29, 99, 13, 119, 35, 1461, 61, 5155, 6785, 15957, 11295, 52203, 0};
static int joe_kuo_d6_initial_number06989[] = {1, 3, 5, 7, 23, 39, 73, 161, 465, 715, 153, 3529, 2243, 13773, 16573, 26233, 130263, 0};
static int joe_kuo_d6_initial_number06990[] = {1, 3, 7, 9, 11, 51, 5, 149, 501, 119, 2047, 3417, 3955, 15055, 31633, 473, 127305, 0};
static int joe_kuo_d6_initial_number06991[] = {1, 1, 1, 9, 31, 57, 91, 119, 215, 11, 1013, 3969, 1285, 11521, 8039, 36737, 86365, 0};
static int joe_kuo_d6_initial_number06992[] = {1, 1, 5, 3, 7, 17, 9, 27, 59, 883, 541, 3027, 6219, 1091, 2453, 38247, 21323, 0};
static int joe_kuo_d6_initial_number06993[] = {1, 1, 1, 1, 25, 39, 55, 249, 61, 313, 467, 1763, 4067, 8367, 32431, 44463, 66439, 0};
static int joe_kuo_d6_initial_number06994[] = {1, 3, 3, 1, 13, 3, 37, 209, 21, 653, 1971, 3649, 6165, 3789, 12793, 56327, 60351, 0};
static int joe_kuo_d6_initial_number06995[] = {1, 1, 7, 9, 31, 33, 21, 51, 313, 631, 515, 1761, 4149, 2601, 12481, 25975, 94061, 0};
static int joe_kuo_d6_initial_number06996[] = {1, 1, 7, 15, 3, 7, 55, 129, 297, 735, 779, 633, 3265, 11713, 3893, 61197, 113991, 0};
static int joe_kuo_d6_initial_number06997[] = {1, 3, 5, 13, 1, 15, 27, 253, 435, 595, 1163, 2753, 7399, 15225, 26215, 59753, 74933, 0};
static int joe_kuo_d6_initial_number06998[] = {1, 1, 7, 7, 15, 23, 111, 43, 467, 957, 1687, 2893, 2315, 2025, 1475, 9061, 101611, 0};
static int joe_kuo_d6_initial_number06999[] = {1, 1, 3, 3, 29, 41, 53, 169, 125, 415, 361, 869, 3399, 8821, 18193, 38575, 73979, 0};
static int joe_kuo_d6_initial_number07000[] = {1, 1, 1, 15, 3, 5, 27, 5, 293, 765, 1809, 1961, 955, 12441, 10915, 2363, 49617, 0};
static int joe_kuo_d6_initial_number07001[] = {1, 1, 5, 15, 19, 11, 3, 91, 59, 323, 545, 1177, 7967, 2729, 14085, 3283, 79859, 0};
static int joe_kuo_d6_initial_number07002[] = {1, 1, 7, 13, 11, 17, 29, 163, 295, 951, 311, 3471, 1339, 10719, 701, 32377, 41685, 0};
static int joe_kuo_d6_initial_number07003[] = {1, 3, 5, 7, 21, 19, 81, 247, 495, 767, 251, 3455, 6383, 7221, 19943, 64865, 33193, 0};
static int joe_kuo_d6_initial_number07004[] = {1, 1, 7, 15, 23, 41, 63, 195, 311, 619, 211, 743, 889, 7627, 12527, 15865, 40103, 0};
static int joe_kuo_d6_initial_number07005[] = {1, 1, 3, 1, 23, 23, 57, 221, 153, 27, 939, 3949, 411, 6357, 31985, 939, 91001, 0};
static int joe_kuo_d6_initial_number07006[] = {1, 3, 5, 15, 7, 5, 35, 135, 245, 921, 307, 823, 775, 4891, 24575, 53503, 48147, 0};
static int joe_kuo_d6_initial_number07007[] = {1, 1, 5, 7, 9, 31, 23, 139, 477, 495, 287, 807, 1855, 8321, 13963, 52197, 78509, 0};
static int joe_kuo_d6_initial_number07008[] = {1, 3, 3, 3, 29, 59, 33, 83, 211, 65, 623, 1269, 1745, 16383, 10759, 57199, 14035, 0};
static int joe_kuo_d6_initial_number07009[] = {1, 3, 3, 15, 25, 55, 69, 171, 411, 937, 731, 2275, 2597, 4133, 5089, 50507, 39989, 0};
static int joe_kuo_d6_initial_number07010[] = {1, 3, 1, 9, 5, 47, 51, 21, 171, 913, 233, 43, 2673, 471, 27077, 57039, 32579, 0};
static int joe_kuo_d6_initial_number07011[] = {1, 3, 5, 3, 29, 35, 5, 105, 233, 379, 77, 1775, 2409, 4597, 19879, 12691, 49739, 0};
static int joe_kuo_d6_initial_number07012[] = {1, 3, 7, 13, 17, 29, 117, 177, 163, 927, 45, 3227, 7263, 5551, 9219, 32101, 122473, 0};
static int joe_kuo_d6_initial_number07013[] = {1, 1, 7, 5, 31, 39, 75, 147, 311, 991, 1431, 3821, 6891, 9637, 17887, 661, 23067, 0};
static int joe_kuo_d6_initial_number07014[] = {1, 3, 5, 13, 31, 53, 69, 79, 153, 329, 207, 479, 2395, 6505, 29553, 52023, 31531, 0};
static int joe_kuo_d6_initial_number07015[] = {1, 3, 1, 7, 15, 7, 87, 233, 25, 275, 981, 1207, 3083, 16349, 30185, 60611, 120607, 0};
static int joe_kuo_d6_initial_number07016[] = {1, 1, 5, 3, 21, 7, 47, 173, 291, 965, 65, 545, 7465, 4471, 2249, 34281, 107217, 0};
static int joe_kuo_d6_initial_number07017[] = {1, 1, 3, 11, 19, 53, 17, 243, 193, 297, 1937, 1513, 4979, 14867, 15497, 10049, 9135, 0};
static int joe_kuo_d6_initial_number07018[] = {1, 3, 1, 3, 25, 39, 29, 63, 231, 145, 247, 1745, 3439, 8635, 26687, 18595, 67123, 0};
static int joe_kuo_d6_initial_number07019[] = {1, 1, 7, 9, 29, 33, 89, 175, 429, 675, 891, 1739, 3567, 5453, 30427, 33671, 83395, 0};
static int joe_kuo_d6_initial_number07020[] = {1, 3, 1, 5, 31, 25, 69, 237, 235, 307, 1217, 3805, 153, 13387, 6209, 14179, 128725, 0};
static int joe_kuo_d6_initial_number07021[] = {1, 1, 3, 3, 19, 45, 117, 135, 67, 601, 369, 3369, 5505, 2049, 24099, 22515, 96575, 0};
static int joe_kuo_d6_initial_number07022[] = {1, 1, 1, 3, 3, 45, 29, 255, 327, 77, 1103, 4067, 2875, 6487, 5903, 26625, 19631, 0};
static int joe_kuo_d6_initial_number07023[] = {1, 3, 5, 1, 31, 63, 115, 7, 255, 855, 913, 1779, 7001, 14387, 26765, 51987, 3191, 0};
static int joe_kuo_d6_initial_number07024[] = {1, 1, 3, 11, 15, 43, 71, 247, 303, 231, 445, 3963, 3699, 11851, 18941, 43465, 63431, 0};
static int joe_kuo_d6_initial_number07025[] = {1, 1, 3, 5, 31, 33, 93, 127, 267, 399, 653, 1997, 5005, 14535, 4813, 64065, 2159, 0};
static int joe_kuo_d6_initial_number07026[] = {1, 3, 7, 13, 31, 39, 61, 155, 141, 515, 1217, 161, 4309, 3697, 22445, 43599, 43329, 0};
static int joe_kuo_d6_initial_number07027[] = {1, 3, 3, 3, 7, 51, 103, 147, 511, 971, 195, 3731, 6629, 12125, 12053, 34951, 60059, 0};
static int joe_kuo_d6_initial_number07028[] = {1, 1, 5, 11, 21, 49, 99, 31, 55, 309, 1805, 2253, 7095, 15265, 28445, 54813, 48615, 0};
static int joe_kuo_d6_initial_number07029[] = {1, 3, 1, 15, 9, 41, 61, 125, 65, 143, 1567, 3259, 6757, 653, 31601, 63127, 52179, 0};
static int joe_kuo_d6_initial_number07030[] = {1, 1, 5, 3, 29, 5, 19, 197, 153, 447, 7, 1713, 469, 6043, 1259, 63641, 29171, 0};
static int joe_kuo_d6_initial_number07031[] = {1, 3, 3, 7, 3, 41, 95, 245, 445, 15, 607, 565, 2361, 2673, 21077, 20153, 6199, 0};
static int joe_kuo_d6_initial_number07032[] = {1, 1, 5, 1, 5, 59, 93, 127, 485, 663, 683, 635, 1599, 16377, 31819, 6539, 27789, 0};
static int joe_kuo_d6_initial_number07033[] = {1, 3, 1, 3, 31, 3, 11, 215, 441, 1005, 1815, 3945, 5109, 5539, 23935, 62671, 90731, 0};
static int joe_kuo_d6_initial_number07034[] = {1, 3, 3, 1, 13, 47, 19, 229, 191, 427, 1141, 2321, 7105, 1587, 26347, 63265, 23377, 0};
static int joe_kuo_d6_initial_number07035[] = {1, 1, 5, 15, 31, 55, 61, 93, 89, 945, 1203, 3631, 4457, 15097, 32019, 41747, 46009, 0};
static int joe_kuo_d6_initial_number07036[] = {1, 1, 5, 13, 5, 33, 69, 59, 93, 247, 503, 421, 1923, 9855, 9825, 14257, 98663, 0};
static int joe_kuo_d6_initial_number07037[] = {1, 3, 1, 13, 27, 21, 91, 39, 131, 571, 1527, 2715, 2061, 627, 19705, 47165, 84345, 0};
static int joe_kuo_d6_initial_number07038[] = {1, 1, 1, 7, 3, 3, 7, 251, 225, 959, 1017, 2423, 6163, 1549, 7473, 3193, 104259, 0};
static int joe_kuo_d6_initial_number07039[] = {1, 3, 3, 1, 5, 5, 115, 221, 505, 649, 1525, 2459, 167, 1899, 23939, 29253, 122835, 0};
static int joe_kuo_d6_initial_number07040[] = {1, 3, 1, 5, 15, 9, 123, 221, 133, 43, 31, 1211, 4737, 5001, 20065, 6369, 93865, 0};
static int joe_kuo_d6_initial_number07041[] = {1, 1, 5, 11, 11, 5, 23, 29, 333, 133, 1469, 1895, 5879, 15599, 2131, 25005, 96271, 0};
static int joe_kuo_d6_initial_number07042[] = {1, 1, 3, 11, 25, 11, 19, 57, 397, 645, 1233, 2433, 6371, 10577, 15489, 60709, 3957, 0};
static int joe_kuo_d6_initial_number07043[] = {1, 3, 1, 1, 19, 3, 33, 131, 429, 835, 1363, 2213, 3185, 14385, 8831, 43159, 32975, 0};
static int joe_kuo_d6_initial_number07044[] = {1, 1, 5, 5, 23, 11, 127, 139, 213, 259, 897, 1913, 5737, 1287, 26617, 4885, 30193, 0};
static int joe_kuo_d6_initial_number07045[] = {1, 3, 5, 13, 3, 27, 99, 31, 11, 27, 1003, 2473, 7055, 12923, 4269, 41433, 90637, 0};
static int joe_kuo_d6_initial_number07046[] = {1, 3, 1, 7, 17, 25, 95, 151, 199, 237, 207, 1879, 2943, 9845, 3765, 53533, 111191, 0};
static int joe_kuo_d6_initial_number07047[] = {1, 3, 1, 9, 19, 27, 5, 249, 85, 185, 1883, 1401, 2041, 12721, 20593, 30993, 2601, 0};
static int joe_kuo_d6_initial_number07048[] = {1, 3, 3, 9, 23, 1, 15, 133, 387, 779, 707, 2723, 4485, 989, 27125, 37295, 125319, 0};
static int joe_kuo_d6_initial_number07049[] = {1, 1, 7, 3, 9, 41, 81, 151, 349, 941, 357, 3817, 7123, 10079, 27519, 107, 102281, 0};
static int joe_kuo_d6_initial_number07050[] = {1, 1, 1, 1, 13, 5, 111, 167, 73, 85, 1185, 1213, 333, 153, 13101, 38087, 39389, 0};
static int joe_kuo_d6_initial_number07051[] = {1, 3, 3, 15, 11, 41, 99, 231, 377, 539, 1335, 1059, 5373, 9611, 27927, 29801, 85749, 0};
static int joe_kuo_d6_initial_number07052[] = {1, 3, 1, 9, 19, 37, 125, 27, 15, 699, 1867, 2711, 1589, 1675, 32007, 61339, 96919, 0};
static int joe_kuo_d6_initial_number07053[] = {1, 3, 3, 3, 3, 27, 21, 159, 249, 783, 1517, 2923, 2609, 1207, 13705, 57371, 43603, 0};
static int joe_kuo_d6_initial_number07054[] = {1, 1, 5, 15, 17, 55, 77, 1, 401, 897, 987, 345, 5283, 5827, 17755, 44371, 13253, 0};
static int joe_kuo_d6_initial_number07055[] = {1, 3, 1, 7, 3, 3, 99, 237, 487, 405, 771, 3503, 1199, 4779, 26893, 45821, 46383, 0};
static int joe_kuo_d6_initial_number07056[] = {1, 1, 7, 3, 9, 47, 81, 27, 459, 989, 1891, 3997, 4081, 4075, 15079, 65081, 125185, 0};
static int joe_kuo_d6_initial_number07057[] = {1, 3, 5, 9, 25, 23, 71, 251, 251, 197, 353, 3553, 2165, 2953, 3733, 52369, 100641, 0};
static int joe_kuo_d6_initial_number07058[] = {1, 1, 1, 5, 25, 43, 63, 187, 495, 345, 1547, 2293, 7327, 7797, 14001, 61865, 40329, 0};
static int joe_kuo_d6_initial_number07059[] = {1, 1, 5, 15, 25, 37, 67, 23, 315, 801, 71, 1235, 7293, 7207, 30929, 9417, 94735, 0};
static int joe_kuo_d6_initial_number07060[] = {1, 1, 1, 3, 23, 29, 87, 171, 337, 457, 1597, 3933, 4151, 1237, 19563, 56997, 81497, 0};
static int joe_kuo_d6_initial_number07061[] = {1, 3, 3, 11, 3, 33, 79, 239, 277, 611, 205, 2283, 7459, 425, 21999, 26491, 58681, 0};
static int joe_kuo_d6_initial_number07062[] = {1, 1, 7, 1, 5, 37, 53, 93, 205, 97, 779, 3623, 7777, 521, 21915, 46539, 128811, 0};
static int joe_kuo_d6_initial_number07063[] = {1, 1, 5, 7, 19, 7, 39, 183, 299, 193, 1351, 3867, 5709, 11655, 1231, 15555, 128023, 0};
static int joe_kuo_d6_initial_number07064[] = {1, 3, 7, 11, 31, 13, 113, 57, 197, 841, 921, 2087, 2195, 8279, 8353, 1955, 22121, 0};
static int joe_kuo_d6_initial_number07065[] = {1, 3, 3, 11, 21, 55, 61, 105, 357, 747, 363, 3511, 2547, 16283, 25747, 56041, 33695, 0};
static int joe_kuo_d6_initial_number07066[] = {1, 3, 3, 13, 27, 13, 5, 27, 93, 691, 1869, 2331, 3131, 14411, 2355, 37195, 129273, 0};
static int joe_kuo_d6_initial_number07067[] = {1, 3, 3, 7, 27, 9, 11, 165, 435, 811, 215, 1617, 347, 4289, 29373, 15749, 91445, 0};
static int joe_kuo_d6_initial_number07068[] = {1, 1, 7, 13, 29, 3, 95, 53, 457, 633, 959, 3705, 7461, 9307, 21963, 51599, 6751, 0};
static int joe_kuo_d6_initial_number07069[] = {1, 1, 1, 15, 29, 25, 95, 1, 125, 61, 683, 2067, 6485, 9095, 5571, 61281, 70865, 0};
static int joe_kuo_d6_initial_number07070[] = {1, 1, 7, 7, 1, 35, 119, 107, 247, 991, 237, 1865, 3961, 12583, 11417, 14913, 90897, 0};
static int joe_kuo_d6_initial_number07071[] = {1, 3, 7, 15, 11, 51, 73, 193, 289, 381, 1767, 3803, 3197, 3797, 15059, 19393, 98947, 0};
static int joe_kuo_d6_initial_number07072[] = {1, 1, 5, 3, 13, 7, 91, 223, 347, 59, 1721, 1501, 6391, 4141, 14495, 47283, 47237, 0};
static int joe_kuo_d6_initial_number07073[] = {1, 3, 7, 11, 17, 39, 43, 247, 35, 423, 1859, 3199, 5343, 7061, 8609, 6819, 88575, 0};
static int joe_kuo_d6_initial_number07074[] = {1, 1, 5, 13, 31, 27, 57, 19, 499, 1007, 1965, 795, 1231, 12755, 24631, 53343, 82305, 0};
static int joe_kuo_d6_initial_number07075[] = {1, 1, 1, 9, 13, 23, 127, 161, 245, 467, 2025, 2545, 3085, 13035, 27087, 14461, 35971, 0};
static int joe_kuo_d6_initial_number07076[] = {1, 3, 5, 1, 7, 3, 99, 159, 75, 341, 1755, 2337, 5981, 5055, 19445, 30043, 61427, 0};
static int joe_kuo_d6_initial_number07077[] = {1, 1, 1, 7, 13, 33, 41, 73, 267, 21, 961, 3509, 6839, 13215, 8471, 46735, 93071, 0};
static int joe_kuo_d6_initial_number07078[] = {1, 3, 7, 7, 3, 25, 81, 239, 357, 445, 1483, 389, 3891, 5131, 21357, 34757, 111063, 0};
static int joe_kuo_d6_initial_number07079[] = {1, 3, 7, 1, 1, 37, 119, 121, 195, 935, 1711, 2049, 7001, 7117, 9957, 7309, 102293, 0};
static int joe_kuo_d6_initial_number07080[] = {1, 1, 7, 11, 1, 49, 107, 95, 149, 329, 289, 1121, 7217, 15091, 19071, 13801, 13, 0};
static int joe_kuo_d6_initial_number07081[] = {1, 1, 1, 13, 17, 17, 7, 105, 81, 1017, 1867, 1567, 5133, 7325, 19797, 16301, 40471, 0};
static int joe_kuo_d6_initial_number07082[] = {1, 3, 5, 5, 27, 45, 117, 135, 499, 53, 973, 121, 53, 8771, 11893, 35827, 57691, 0};
static int joe_kuo_d6_initial_number07083[] = {1, 1, 1, 1, 7, 23, 11, 163, 17, 871, 129, 2959, 5583, 12253, 1419, 28367, 32539, 0};
static int joe_kuo_d6_initial_number07084[] = {1, 1, 3, 5, 23, 31, 127, 33, 115, 799, 331, 1873, 1729, 1383, 23601, 51145, 72027, 0};
static int joe_kuo_d6_initial_number07085[] = {1, 1, 1, 9, 15, 49, 105, 163, 51, 539, 451, 3983, 6509, 1073, 30757, 13971, 51371, 0};
static int joe_kuo_d6_initial_number07086[] = {1, 1, 7, 1, 1, 57, 71, 135, 5, 171, 983, 951, 777, 9257, 3607, 3239, 76237, 0};
static int joe_kuo_d6_initial_number07087[] = {1, 1, 7, 7, 21, 17, 49, 175, 9, 807, 289, 2777, 7309, 14911, 28349, 43871, 96019, 0};
static int joe_kuo_d6_initial_number07088[] = {1, 3, 1, 13, 5, 7, 83, 215, 297, 319, 347, 633, 7285, 8293, 18811, 31065, 114077, 0};
static int joe_kuo_d6_initial_number07089[] = {1, 3, 1, 11, 3, 29, 91, 231, 161, 601, 355, 2719, 2941, 6065, 21849, 58051, 46515, 0};
static int joe_kuo_d6_initial_number07090[] = {1, 1, 3, 9, 25, 41, 111, 135, 71, 755, 29, 131, 1339, 5053, 15713, 14557, 106777, 0};
static int joe_kuo_d6_initial_number07091[] = {1, 1, 7, 13, 21, 59, 13, 45, 503, 71, 1611, 4021, 2359, 11653, 7261, 14537, 33031, 0};
static int joe_kuo_d6_initial_number07092[] = {1, 1, 1, 11, 5, 31, 1, 181, 37, 527, 1345, 1979, 4899, 3289, 25181, 49959, 44609, 0};
static int joe_kuo_d6_initial_number07093[] = {1, 3, 3, 13, 21, 25, 33, 105, 57, 637, 841, 1595, 3881, 5053, 9441, 58717, 127255, 0};
static int joe_kuo_d6_initial_number07094[] = {1, 3, 5, 7, 23, 57, 9, 117, 281, 769, 1573, 2857, 1139, 6413, 14001, 21097, 55215, 0};
static int joe_kuo_d6_initial_number07095[] = {1, 1, 7, 7, 3, 5, 75, 149, 269, 353, 437, 61, 2451, 11987, 17243, 5649, 105107, 0};
static int joe_kuo_d6_initial_number07096[] = {1, 1, 3, 3, 25, 61, 53, 21, 113, 57, 1415, 2825, 11, 14977, 6159, 4181, 96765, 0};
static int joe_kuo_d6_initial_number07097[] = {1, 1, 7, 5, 15, 25, 121, 159, 71, 773, 601, 147, 6507, 16171, 16607, 32017, 77845, 0};
static int joe_kuo_d6_initial_number07098[] = {1, 3, 1, 1, 27, 19, 59, 109, 347, 991, 165, 683, 6147, 493, 22017, 19069, 52857, 0};
static int joe_kuo_d6_initial_number07099[] = {1, 1, 5, 5, 21, 1, 93, 115, 407, 15, 421, 1305, 3495, 14287, 31831, 65347, 35339, 0};
static int joe_kuo_d6_initial_number07100[] = {1, 3, 5, 11, 29, 35, 87, 27, 453, 769, 1991, 2757, 2607, 9225, 293, 49441, 18185, 0};
static int joe_kuo_d6_initial_number07101[] = {1, 1, 5, 3, 23, 41, 67, 195, 499, 903, 197, 1121, 4691, 9277, 29225, 34597, 37395, 0};
static int joe_kuo_d6_initial_number07102[] = {1, 1, 7, 7, 21, 7, 65, 245, 241, 909, 1063, 2271, 1979, 10287, 1747, 61523, 72969, 0};
static int joe_kuo_d6_initial_number07103[] = {1, 3, 1, 13, 23, 25, 3, 89, 385, 481, 1463, 3431, 6907, 1129, 3519, 35789, 82585, 0};
static int joe_kuo_d6_initial_number07104[] = {1, 3, 5, 3, 31, 17, 11, 209, 77, 991, 885, 3341, 6895, 3429, 21611, 38555, 35475, 0};
static int joe_kuo_d6_initial_number07105[] = {1, 1, 3, 1, 9, 61, 27, 219, 433, 787, 281, 1155, 2915, 4449, 30881, 34461, 15357, 0};
static int joe_kuo_d6_initial_number07106[] = {1, 1, 3, 15, 27, 55, 51, 101, 117, 799, 1475, 4013, 5145, 14991, 27847, 49537, 57339, 0};
static int joe_kuo_d6_initial_number07107[] = {1, 3, 7, 13, 13, 9, 13, 167, 283, 883, 1501, 2635, 1463, 3353, 14961, 30349, 62043, 0};
static int joe_kuo_d6_initial_number07108[] = {1, 1, 7, 3, 3, 47, 119, 37, 389, 655, 701, 2471, 5749, 6645, 845, 27065, 82299, 0};
static int joe_kuo_d6_initial_number07109[] = {1, 1, 7, 15, 27, 5, 95, 195, 227, 991, 1137, 3715, 4901, 9459, 1917, 43857, 126505, 0};
static int joe_kuo_d6_initial_number07110[] = {1, 3, 7, 5, 29, 35, 45, 165, 361, 257, 641, 1265, 6533, 11333, 26081, 12621, 66909, 0};
static int joe_kuo_d6_initial_number07111[] = {1, 1, 1, 11, 19, 55, 73, 137, 29, 355, 725, 1161, 6717, 2035, 19769, 43531, 72577, 0};
static int joe_kuo_d6_initial_number07112[] = {1, 3, 7, 5, 19, 3, 99, 17, 387, 621, 137, 117, 6567, 7667, 14979, 17981, 68319, 0};
static int joe_kuo_d6_initial_number07113[] = {1, 1, 5, 5, 7, 53, 31, 33, 245, 371, 691, 2763, 95, 16369, 7853, 29839, 34957, 0};
static int joe_kuo_d6_initial_number07114[] = {1, 1, 3, 1, 9, 1, 83, 177, 17, 141, 1739, 1791, 3849, 3093, 22271, 53755, 7817, 0};
static int joe_kuo_d6_initial_number07115[] = {1, 3, 3, 1, 3, 51, 71, 69, 439, 987, 807, 3353, 4747, 16031, 29591, 61091, 95675, 0};
static int joe_kuo_d6_initial_number07116[] = {1, 3, 5, 1, 17, 47, 51, 211, 7, 5, 1751, 1735, 1647, 13389, 13861, 49427, 13577, 0};
static int joe_kuo_d6_initial_number07117[] = {1, 3, 7, 5, 11, 23, 17, 55, 11, 61, 809, 927, 6533, 1509, 29261, 21555, 55075, 0};
static int joe_kuo_d6_initial_number07118[] = {1, 3, 1, 1, 15, 51, 37, 47, 183, 117, 597, 3225, 1435, 13359, 19127, 17339, 17345, 0};
static int joe_kuo_d6_initial_number07119[] = {1, 1, 5, 3, 5, 11, 33, 179, 295, 129, 29, 713, 1561, 27, 21087, 50305, 39253, 0};
static int joe_kuo_d6_initial_number07120[] = {1, 1, 5, 7, 17, 25, 105, 241, 41, 915, 1223, 2625, 617, 10983, 10749, 2137, 101831, 0};
static int joe_kuo_d6_initial_number07121[] = {1, 3, 5, 7, 15, 15, 85, 23, 193, 625, 1803, 2903, 1935, 523, 8377, 12165, 105851, 0};
static int joe_kuo_d6_initial_number07122[] = {1, 3, 3, 7, 3, 35, 5, 107, 191, 855, 405, 1659, 5523, 5011, 6401, 45187, 31345, 0};
static int joe_kuo_d6_initial_number07123[] = {1, 3, 3, 1, 9, 21, 103, 75, 501, 669, 547, 3685, 411, 2663, 14743, 13869, 124389, 0};
static int joe_kuo_d6_initial_number07124[] = {1, 3, 5, 13, 15, 37, 39, 79, 19, 165, 1685, 1367, 5951, 12303, 13423, 51083, 119933, 0};
static int joe_kuo_d6_initial_number07125[] = {1, 1, 3, 1, 7, 25, 1, 221, 415, 591, 859, 1457, 1789, 2269, 15947, 31913, 86397, 0};
static int joe_kuo_d6_initial_number07126[] = {1, 3, 7, 15, 11, 49, 15, 171, 45, 925, 407, 1719, 4505, 5695, 17397, 28849, 77, 0};
static int joe_kuo_d6_initial_number07127[] = {1, 1, 3, 11, 21, 33, 91, 115, 263, 141, 753, 3335, 7695, 1981, 6029, 22629, 2467, 0};
static int joe_kuo_d6_initial_number07128[] = {1, 3, 5, 3, 25, 5, 21, 67, 429, 323, 223, 2395, 761, 14817, 12387, 37905, 19551, 0};
static int joe_kuo_d6_initial_number07129[] = {1, 3, 1, 15, 31, 43, 35, 255, 73, 533, 1093, 965, 557, 607, 6913, 35283, 12261, 0};
static int joe_kuo_d6_initial_number07130[] = {1, 3, 1, 15, 25, 13, 39, 83, 77, 269, 1205, 1577, 4095, 6669, 8643, 48807, 98227, 0};
static int joe_kuo_d6_initial_number07131[] = {1, 3, 3, 7, 31, 57, 25, 177, 441, 973, 1255, 675, 5579, 4899, 27925, 52555, 70845, 0};
static int joe_kuo_d6_initial_number07132[] = {1, 3, 1, 5, 13, 47, 15, 75, 387, 461, 1909, 841, 7, 9567, 913, 41411, 12565, 0};
static int joe_kuo_d6_initial_number07133[] = {1, 1, 5, 7, 5, 21, 17, 189, 319, 645, 403, 2723, 6747, 15471, 26533, 12709, 49417, 0};
static int joe_kuo_d6_initial_number07134[] = {1, 1, 5, 7, 7, 41, 99, 179, 137, 435, 1061, 3987, 4583, 4101, 23781, 54263, 36695, 0};
static int joe_kuo_d6_initial_number07135[] = {1, 3, 1, 11, 19, 37, 125, 177, 111, 921, 1003, 1433, 1399, 3991, 28193, 40471, 97041, 0};
static int joe_kuo_d6_initial_number07136[] = {1, 1, 7, 1, 5, 33, 7, 139, 127, 413, 1171, 2237, 265, 10145, 18793, 28957, 25037, 0};
static int joe_kuo_d6_initial_number07137[] = {1, 3, 1, 1, 25, 37, 13, 17, 471, 195, 1645, 3165, 5635, 8433, 28507, 453, 107709, 0};
static int joe_kuo_d6_initial_number07138[] = {1, 3, 3, 11, 1, 55, 119, 97, 243, 371, 95, 97, 7833, 777, 12177, 1861, 56323, 0};
static int joe_kuo_d6_initial_number07139[] = {1, 1, 7, 5, 7, 29, 59, 219, 405, 411, 275, 111, 4899, 10367, 24331, 57295, 47065, 0};
static int joe_kuo_d6_initial_number07140[] = {1, 1, 3, 3, 19, 23, 91, 111, 221, 195, 1013, 3001, 3227, 6359, 30383, 49699, 49157, 0};
static int joe_kuo_d6_initial_number07141[] = {1, 1, 5, 7, 1, 21, 125, 23, 177, 291, 249, 861, 1899, 14101, 5079, 5211, 14373, 0};
static int joe_kuo_d6_initial_number07142[] = {1, 1, 7, 11, 11, 59, 33, 41, 291, 919, 253, 609, 1657, 14633, 15189, 22245, 99815, 0};
static int joe_kuo_d6_initial_number07143[] = {1, 3, 5, 3, 23, 49, 71, 137, 393, 343, 1845, 343, 5853, 6639, 17435, 62143, 76041, 0};
static int joe_kuo_d6_initial_number07144[] = {1, 1, 5, 3, 9, 27, 55, 193, 25, 965, 1453, 2739, 3785, 12497, 29607, 11111, 25145, 0};
static int joe_kuo_d6_initial_number07145[] = {1, 1, 1, 1, 29, 11, 111, 73, 491, 629, 405, 2779, 5313, 589, 1459, 47555, 67945, 0};
static int joe_kuo_d6_initial_number07146[] = {1, 3, 1, 7, 13, 21, 99, 75, 79, 963, 207, 1725, 6875, 8359, 10573, 45219, 130463, 0};
static int joe_kuo_d6_initial_number07147[] = {1, 3, 7, 13, 1, 17, 105, 227, 487, 891, 1053, 1333, 7651, 5415, 18661, 22085, 82055, 0};
static int joe_kuo_d6_initial_number07148[] = {1, 1, 3, 3, 31, 27, 91, 93, 383, 331, 965, 3035, 4931, 13265, 9729, 28985, 118227, 0};
static int joe_kuo_d6_initial_number07149[] = {1, 3, 1, 1, 11, 9, 59, 191, 253, 909, 301, 3811, 255, 14937, 28627, 54509, 95993, 0};
static int joe_kuo_d6_initial_number07150[] = {1, 3, 3, 5, 11, 5, 105, 77, 323, 713, 637, 1857, 2697, 12473, 12261, 2933, 101287, 0};
static int joe_kuo_d6_initial_number07151[] = {1, 3, 3, 11, 9, 63, 19, 19, 213, 859, 1479, 2849, 1067, 5749, 13511, 14933, 11125, 0};
static int joe_kuo_d6_initial_number07152[] = {1, 1, 5, 9, 19, 19, 13, 49, 237, 511, 533, 543, 575, 8095, 27335, 18847, 18173, 0};
static int joe_kuo_d6_initial_number07153[] = {1, 3, 5, 5, 9, 53, 47, 157, 35, 827, 637, 2327, 787, 5269, 5145, 10135, 111273, 0};
static int joe_kuo_d6_initial_number07154[] = {1, 3, 3, 7, 27, 41, 69, 173, 53, 655, 809, 481, 6999, 3101, 20781, 2481, 94957, 0};
static int joe_kuo_d6_initial_number07155[] = {1, 1, 5, 11, 17, 23, 95, 201, 363, 613, 863, 1365, 1131, 15417, 20705, 8283, 55235, 0};
static int joe_kuo_d6_initial_number07156[] = {1, 1, 5, 13, 3, 15, 37, 219, 291, 595, 1665, 1861, 1953, 15385, 20569, 46085, 15163, 0};
static int joe_kuo_d6_initial_number07157[] = {1, 3, 3, 11, 23, 43, 125, 133, 85, 45, 819, 243, 7325, 8723, 1499, 58139, 120353, 0};
static int joe_kuo_d6_initial_number07158[] = {1, 1, 1, 11, 21, 49, 91, 145, 175, 619, 1817, 3533, 8155, 7521, 30361, 45431, 130175, 0};
static int joe_kuo_d6_initial_number07159[] = {1, 1, 3, 1, 11, 59, 57, 51, 37, 903, 1221, 3813, 8043, 14165, 31503, 7905, 61515, 0};
static int joe_kuo_d6_initial_number07160[] = {1, 1, 1, 1, 15, 9, 115, 175, 285, 839, 97, 3119, 719, 15283, 22947, 25417, 40665, 0};
static int joe_kuo_d6_initial_number07161[] = {1, 3, 1, 7, 5, 49, 127, 111, 373, 747, 393, 2351, 4577, 15227, 23149, 16901, 80253, 0};
static int joe_kuo_d6_initial_number07162[] = {1, 1, 5, 3, 15, 5, 95, 197, 251, 275, 831, 1389, 3907, 12343, 11599, 24369, 65361, 0};
static int joe_kuo_d6_initial_number07163[] = {1, 3, 7, 5, 25, 37, 11, 75, 417, 789, 745, 811, 2189, 15381, 4785, 41657, 2897, 0};
static int joe_kuo_d6_initial_number07164[] = {1, 3, 1, 13, 29, 55, 55, 33, 279, 383, 1645, 975, 4683, 1357, 1149, 30271, 90527, 0};
static int joe_kuo_d6_initial_number07165[] = {1, 3, 5, 3, 5, 3, 79, 61, 371, 225, 141, 369, 1037, 12249, 29431, 37253, 9899, 0};
static int joe_kuo_d6_initial_number07166[] = {1, 1, 3, 13, 13, 7, 127, 147, 507, 119, 1085, 1949, 6289, 10179, 10107, 55989, 74395, 0};
static int joe_kuo_d6_initial_number07167[] = {1, 3, 1, 7, 21, 35, 53, 209, 103, 365, 683, 553, 4977, 14371, 24037, 11453, 45369, 0};
static int joe_kuo_d6_initial_number07168[] = {1, 1, 5, 11, 27, 39, 41, 145, 437, 55, 893, 2375, 4977, 5451, 21225, 46815, 1423, 0};
static int joe_kuo_d6_initial_number07169[] = {1, 3, 5, 1, 23, 53, 113, 75, 209, 323, 1975, 3809, 1829, 14625, 3821, 53773, 129173, 0};
static int joe_kuo_d6_initial_number07170[] = {1, 1, 5, 3, 7, 51, 97, 73, 289, 481, 339, 1375, 3101, 4395, 13933, 33267, 68115, 0};
static int joe_kuo_d6_initial_number07171[] = {1, 3, 5, 1, 5, 45, 83, 57, 3, 667, 109, 3979, 6447, 8603, 20147, 49291, 18023, 0};
static int joe_kuo_d6_initial_number07172[] = {1, 3, 7, 1, 11, 7, 45, 233, 65, 745, 1009, 2979, 5965, 10681, 3499, 23077, 87479, 0};
static int joe_kuo_d6_initial_number07173[] = {1, 3, 3, 3, 13, 25, 25, 189, 197, 83, 1429, 2857, 2877, 8577, 24811, 33049, 46009, 0};
static int joe_kuo_d6_initial_number07174[] = {1, 1, 1, 7, 11, 47, 47, 255, 89, 625, 449, 3747, 2035, 3509, 4901, 2961, 14073, 0};
static int joe_kuo_d6_initial_number07175[] = {1, 1, 1, 13, 9, 55, 35, 47, 389, 573, 847, 1037, 1345, 5487, 7575, 57435, 77303, 0};
static int joe_kuo_d6_initial_number07176[] = {1, 1, 5, 11, 25, 51, 113, 109, 79, 339, 95, 2049, 5881, 13209, 20041, 26419, 110319, 0};
static int joe_kuo_d6_initial_number07177[] = {1, 1, 7, 1, 27, 15, 93, 145, 253, 917, 1211, 2221, 1087, 14209, 32097, 20083, 67841, 0};
static int joe_kuo_d6_initial_number07178[] = {1, 1, 3, 15, 13, 19, 67, 107, 75, 919, 2047, 3675, 6231, 1243, 14335, 35939, 17281, 0};
static int joe_kuo_d6_initial_number07179[] = {1, 3, 7, 5, 27, 47, 53, 239, 475, 231, 1645, 825, 4039, 15985, 10853, 32951, 34985, 0};
static int joe_kuo_d6_initial_number07180[] = {1, 1, 7, 5, 15, 61, 107, 93, 51, 221, 717, 2859, 7885, 9571, 11841, 45143, 33723, 0};
static int joe_kuo_d6_initial_number07181[] = {1, 1, 7, 7, 9, 25, 63, 25, 47, 55, 2041, 3965, 215, 14857, 31669, 54775, 42157, 0};
static int joe_kuo_d6_initial_number07182[] = {1, 3, 5, 1, 5, 45, 123, 109, 471, 599, 479, 475, 3499, 11963, 23709, 18851, 66861, 0};
static int joe_kuo_d6_initial_number07183[] = {1, 3, 3, 3, 5, 29, 71, 81, 315, 329, 1471, 3995, 623, 5871, 11171, 15645, 97251, 0};
static int joe_kuo_d6_initial_number07184[] = {1, 1, 7, 11, 15, 15, 101, 173, 445, 871, 765, 1121, 1937, 13055, 7309, 54175, 85559, 0};
static int joe_kuo_d6_initial_number07185[] = {1, 3, 5, 7, 7, 13, 43, 237, 361, 981, 19, 3113, 4681, 3313, 19147, 35193, 87281, 0};
static int joe_kuo_d6_initial_number07186[] = {1, 3, 5, 3, 27, 13, 37, 51, 233, 573, 1599, 2807, 7149, 12083, 28927, 7797, 130879, 0};
static int joe_kuo_d6_initial_number07187[] = {1, 1, 1, 13, 31, 63, 127, 89, 209, 717, 1075, 3887, 1427, 87, 18565, 39973, 55025, 0};
static int joe_kuo_d6_initial_number07188[] = {1, 3, 1, 5, 15, 11, 121, 247, 273, 613, 1857, 2059, 7399, 13951, 9025, 39523, 68121, 0};
static int joe_kuo_d6_initial_number07189[] = {1, 3, 7, 13, 31, 9, 61, 143, 375, 433, 471, 1315, 5299, 1167, 10099, 11445, 51693, 0};
static int joe_kuo_d6_initial_number07190[] = {1, 1, 7, 9, 25, 31, 125, 5, 13, 595, 621, 3551, 7959, 10643, 14345, 37683, 118377, 0};
static int joe_kuo_d6_initial_number07191[] = {1, 1, 5, 11, 1, 33, 45, 31, 447, 229, 893, 3777, 4101, 2505, 4855, 14057, 20133, 0};
static int joe_kuo_d6_initial_number07192[] = {1, 1, 1, 1, 7, 23, 89, 53, 483, 873, 521, 2115, 1461, 11241, 1003, 28749, 68227, 0};
static int joe_kuo_d6_initial_number07193[] = {1, 3, 5, 5, 3, 17, 23, 219, 281, 975, 895, 4043, 6505, 5991, 27401, 38791, 89239, 0};
static int joe_kuo_d6_initial_number07194[] = {1, 1, 1, 7, 29, 41, 63, 151, 195, 495, 469, 305, 7437, 1107, 31147, 30755, 116551, 0};
static int joe_kuo_d6_initial_number07195[] = {1, 3, 7, 3, 13, 25, 33, 193, 23, 135, 3, 513, 4169, 15355, 2255, 32167, 68691, 0};
static int joe_kuo_d6_initial_number07196[] = {1, 3, 3, 11, 29, 19, 125, 177, 83, 361, 393, 663, 1859, 1333, 17507, 10661, 72387, 0};
static int joe_kuo_d6_initial_number07197[] = {1, 1, 5, 11, 23, 13, 61, 33, 149, 145, 995, 649, 7587, 6743, 25225, 54997, 10193, 0};
static int joe_kuo_d6_initial_number07198[] = {1, 1, 7, 13, 29, 51, 107, 79, 467, 881, 1227, 1083, 3277, 2559, 26819, 57311, 48095, 0};
static int joe_kuo_d6_initial_number07199[] = {1, 3, 1, 1, 1, 19, 23, 25, 239, 703, 119, 2525, 8079, 5433, 8989, 42517, 116755, 0};
static int joe_kuo_d6_initial_number07200[] = {1, 1, 7, 11, 31, 9, 9, 113, 381, 363, 447, 3751, 7523, 15995, 3853, 42069, 81455, 0};
static int joe_kuo_d6_initial_number07201[] = {1, 1, 5, 9, 29, 41, 103, 179, 477, 527, 1593, 3003, 1095, 6823, 6911, 44987, 32445, 0};
static int joe_kuo_d6_initial_number07202[] = {1, 1, 7, 15, 5, 31, 55, 181, 149, 127, 1745, 2753, 801, 285, 20199, 33707, 118397, 0};
static int joe_kuo_d6_initial_number07203[] = {1, 3, 7, 7, 11, 29, 89, 215, 351, 303, 1519, 2593, 2045, 14699, 1657, 40799, 39641, 0};
static int joe_kuo_d6_initial_number07204[] = {1, 1, 7, 13, 3, 35, 73, 111, 15, 803, 1819, 3453, 3611, 8337, 14239, 14875, 83983, 0};
static int joe_kuo_d6_initial_number07205[] = {1, 1, 5, 15, 15, 49, 27, 101, 149, 3, 717, 2229, 7397, 6579, 10965, 35997, 28823, 0};
static int joe_kuo_d6_initial_number07206[] = {1, 1, 5, 7, 3, 17, 49, 245, 343, 657, 15, 749, 6413, 10811, 2909, 47309, 34613, 0};
static int joe_kuo_d6_initial_number07207[] = {1, 3, 5, 15, 13, 35, 67, 99, 481, 379, 2003, 3367, 3065, 5845, 7799, 43931, 15263, 0};
static int joe_kuo_d6_initial_number07208[] = {1, 1, 5, 13, 21, 49, 81, 77, 395, 919, 1931, 661, 123, 9965, 10487, 55131, 1567, 0};
static int joe_kuo_d6_initial_number07209[] = {1, 3, 5, 11, 23, 39, 41, 121, 159, 473, 191, 1983, 6411, 10503, 10523, 40601, 64153, 0};
static int joe_kuo_d6_initial_number07210[] = {1, 1, 5, 7, 9, 37, 73, 207, 497, 789, 1671, 325, 1697, 11281, 31185, 4961, 124431, 0};
static int joe_kuo_d6_initial_number07211[] = {1, 1, 5, 15, 7, 51, 71, 91, 449, 707, 621, 2427, 627, 1747, 12779, 17569, 98289, 0};
static int joe_kuo_d6_initial_number07212[] = {1, 1, 5, 5, 31, 3, 89, 163, 77, 647, 1747, 2965, 1669, 3311, 17651, 8111, 30739, 0};
static int joe_kuo_d6_initial_number07213[] = {1, 1, 3, 11, 15, 31, 77, 173, 405, 913, 459, 2955, 6153, 13391, 20439, 64433, 12371, 0};
static int joe_kuo_d6_initial_number07214[] = {1, 1, 3, 11, 13, 55, 29, 37, 379, 689, 407, 1373, 397, 5027, 15497, 25687, 48193, 0};
static int joe_kuo_d6_initial_number07215[] = {1, 3, 3, 15, 13, 7, 81, 207, 395, 901, 779, 1683, 2491, 3807, 31979, 32403, 81113, 0};
static int joe_kuo_d6_initial_number07216[] = {1, 3, 3, 13, 29, 31, 25, 81, 459, 991, 793, 3285, 2775, 16199, 11423, 52597, 86041, 0};
static int joe_kuo_d6_initial_number07217[] = {1, 3, 3, 13, 17, 17, 101, 183, 19, 735, 671, 1097, 2461, 9863, 25985, 31915, 73047, 0};
static int joe_kuo_d6_initial_number07218[] = {1, 3, 3, 3, 3, 11, 71, 63, 429, 899, 351, 1275, 3907, 14241, 19135, 14875, 43325, 0};
static int joe_kuo_d6_initial_number07219[] = {1, 1, 7, 11, 11, 61, 15, 213, 411, 13, 1409, 1741, 5257, 8729, 28351, 6381, 77501, 0};
static int joe_kuo_d6_initial_number07220[] = {1, 1, 7, 7, 29, 27, 51, 217, 411, 261, 599, 3027, 7871, 9133, 32423, 44275, 34701, 0};
static int joe_kuo_d6_initial_number07221[] = {1, 3, 7, 7, 1, 1, 127, 209, 151, 845, 1421, 3115, 7775, 10133, 6163, 41165, 91187, 0};
static int joe_kuo_d6_initial_number07222[] = {1, 3, 1, 9, 1, 35, 75, 3, 81, 477, 131, 1383, 1377, 6857, 3863, 12583, 7855, 0};
static int joe_kuo_d6_initial_number07223[] = {1, 3, 1, 3, 3, 11, 1, 167, 347, 317, 557, 3763, 7175, 13341, 759, 23275, 78039, 0};
static int joe_kuo_d6_initial_number07224[] = {1, 3, 5, 11, 19, 53, 85, 139, 67, 757, 487, 919, 6001, 16031, 24959, 28013, 65771, 0};
static int joe_kuo_d6_initial_number07225[] = {1, 1, 1, 1, 23, 9, 83, 55, 249, 305, 1305, 109, 5559, 5129, 30973, 19889, 6691, 0};
static int joe_kuo_d6_initial_number07226[] = {1, 1, 1, 3, 21, 19, 85, 89, 213, 847, 861, 1651, 6613, 6001, 8157, 2555, 98673, 0};
static int joe_kuo_d6_initial_number07227[] = {1, 1, 1, 15, 25, 15, 125, 133, 177, 295, 549, 1763, 2811, 4381, 1079, 7813, 87909, 0};
static int joe_kuo_d6_initial_number07228[] = {1, 1, 1, 5, 5, 17, 25, 225, 353, 997, 1565, 2225, 7265, 16227, 28209, 9011, 97193, 0};
static int joe_kuo_d6_initial_number07229[] = {1, 3, 7, 15, 13, 13, 35, 239, 331, 965, 1547, 1627, 6409, 7745, 30899, 36915, 59293, 0};
static int joe_kuo_d6_initial_number07230[] = {1, 1, 1, 13, 27, 45, 23, 179, 193, 801, 381, 3783, 3551, 11855, 11041, 49911, 62101, 0};
static int joe_kuo_d6_initial_number07231[] = {1, 1, 7, 3, 3, 31, 61, 5, 421, 939, 1637, 217, 389, 1797, 32141, 28817, 6997, 0};
static int joe_kuo_d6_initial_number07232[] = {1, 3, 3, 5, 21, 31, 83, 65, 421, 577, 1137, 2561, 2943, 4171, 2803, 23325, 92315, 0};
static int joe_kuo_d6_initial_number07233[] = {1, 1, 3, 3, 27, 33, 75, 81, 477, 3, 1903, 773, 5551, 10069, 7285, 58103, 98311, 0};
static int joe_kuo_d6_initial_number07234[] = {1, 3, 7, 15, 1, 17, 95, 209, 65, 747, 1633, 581, 7395, 1393, 21795, 15735, 129757, 0};
static int joe_kuo_d6_initial_number07235[] = {1, 3, 5, 3, 17, 3, 9, 131, 51, 693, 1571, 1865, 8137, 915, 13345, 35137, 59005, 0};
static int joe_kuo_d6_initial_number07236[] = {1, 1, 3, 7, 23, 27, 61, 163, 449, 87, 717, 1075, 4309, 4887, 11741, 24549, 96729, 0};
static int joe_kuo_d6_initial_number07237[] = {1, 3, 7, 13, 21, 5, 3, 97, 191, 999, 1193, 1215, 5907, 10491, 2281, 6455, 68625, 0};
static int joe_kuo_d6_initial_number07238[] = {1, 1, 5, 7, 9, 9, 101, 5, 375, 137, 1473, 1265, 5307, 259, 20699, 25367, 129393, 0};
static int joe_kuo_d6_initial_number07239[] = {1, 3, 7, 7, 21, 1, 77, 65, 23, 139, 945, 491, 1069, 253, 12335, 26861, 129467, 0};
static int joe_kuo_d6_initial_number07240[] = {1, 1, 3, 9, 15, 33, 85, 225, 45, 311, 281, 1601, 7325, 12265, 2591, 51955, 130681, 0};
static int joe_kuo_d6_initial_number07241[] = {1, 1, 1, 3, 27, 33, 17, 89, 495, 91, 527, 3347, 7883, 9481, 28731, 54729, 15265, 0};
static int joe_kuo_d6_initial_number07242[] = {1, 1, 3, 3, 9, 47, 115, 161, 299, 493, 1857, 3597, 7175, 15603, 11523, 33837, 57557, 0};
static int joe_kuo_d6_initial_number07243[] = {1, 3, 7, 3, 15, 47, 127, 195, 391, 869, 99, 429, 7125, 10413, 5063, 61845, 71843, 0};
static int joe_kuo_d6_initial_number07244[] = {1, 3, 3, 1, 7, 31, 27, 69, 7, 83, 315, 2749, 5693, 13377, 28091, 13065, 111029, 0};
static int joe_kuo_d6_initial_number07245[] = {1, 1, 3, 15, 15, 45, 125, 229, 459, 611, 1167, 3375, 3587, 81, 9275, 45327, 39749, 0};
static int joe_kuo_d6_initial_number07246[] = {1, 3, 7, 11, 9, 3, 43, 161, 221, 209, 51, 1475, 3577, 13973, 15285, 35553, 83935, 0};
static int joe_kuo_d6_initial_number07247[] = {1, 1, 7, 9, 15, 55, 25, 119, 39, 537, 317, 1331, 2161, 1791, 19221, 63459, 124595, 0};
static int joe_kuo_d6_initial_number07248[] = {1, 1, 1, 11, 9, 7, 113, 187, 295, 67, 1795, 113, 119, 9127, 32119, 7719, 67591, 0};
static int joe_kuo_d6_initial_number07249[] = {1, 3, 7, 13, 1, 53, 17, 19, 331, 711, 359, 2945, 5847, 7237, 23617, 17411, 2203, 0};
static int joe_kuo_d6_initial_number07250[] = {1, 3, 3, 7, 21, 63, 115, 159, 225, 161, 1255, 2381, 7411, 95, 1625, 30493, 56685, 0};
static int joe_kuo_d6_initial_number07251[] = {1, 1, 5, 9, 13, 57, 5, 107, 195, 271, 677, 2081, 6027, 11091, 14171, 19007, 102119, 0};
static int joe_kuo_d6_initial_number07252[] = {1, 3, 3, 3, 19, 13, 31, 155, 209, 89, 955, 523, 615, 5319, 16079, 9289, 49135, 0};
static int joe_kuo_d6_initial_number07253[] = {1, 3, 1, 13, 1, 31, 69, 143, 329, 813, 635, 891, 2967, 5563, 19643, 35813, 14345, 0};
static int joe_kuo_d6_initial_number07254[] = {1, 1, 5, 5, 17, 47, 97, 49, 123, 997, 15, 3685, 3925, 4973, 11195, 17115, 63709, 0};
static int joe_kuo_d6_initial_number07255[] = {1, 1, 7, 13, 13, 17, 99, 149, 309, 281, 329, 905, 6487, 4495, 31831, 24413, 26431, 0};
static int joe_kuo_d6_initial_number07256[] = {1, 1, 5, 5, 5, 47, 113, 115, 61, 157, 955, 2323, 4445, 229, 24049, 14753, 15189, 0};
static int joe_kuo_d6_initial_number07257[] = {1, 3, 7, 15, 25, 21, 13, 137, 377, 45, 629, 1339, 8037, 5073, 24741, 48589, 28953, 0};
static int joe_kuo_d6_initial_number07258[] = {1, 3, 3, 9, 3, 41, 7, 101, 333, 59, 1213, 1871, 3993, 11261, 4403, 42785, 58753, 0};
static int joe_kuo_d6_initial_number07259[] = {1, 3, 1, 7, 5, 33, 87, 73, 317, 575, 1459, 905, 1033, 14179, 19595, 30269, 103853, 0};
static int joe_kuo_d6_initial_number07260[] = {1, 1, 1, 1, 19, 49, 63, 181, 227, 401, 695, 1811, 2383, 3835, 14379, 30685, 114731, 0};
static int joe_kuo_d6_initial_number07261[] = {1, 1, 5, 15, 9, 41, 35, 91, 357, 659, 155, 3725, 6509, 405, 25449, 37719, 6013, 0};
static int joe_kuo_d6_initial_number07262[] = {1, 1, 7, 3, 11, 59, 33, 151, 291, 393, 741, 3961, 2787, 993, 10361, 11737, 42047, 0};
static int joe_kuo_d6_initial_number07263[] = {1, 3, 7, 3, 15, 15, 55, 59, 419, 203, 55, 801, 2719, 15487, 13213, 58473, 50315, 0};
static int joe_kuo_d6_initial_number07264[] = {1, 3, 7, 13, 17, 21, 113, 111, 159, 163, 711, 1135, 1133, 15519, 30515, 55777, 25025, 0};
static int joe_kuo_d6_initial_number07265[] = {1, 1, 3, 5, 13, 25, 23, 3, 93, 873, 559, 1815, 3381, 5311, 14365, 34349, 17333, 0};
static int joe_kuo_d6_initial_number07266[] = {1, 3, 5, 7, 15, 43, 85, 33, 23, 903, 1247, 3279, 1393, 12059, 19251, 19389, 5097, 0};
static int joe_kuo_d6_initial_number07267[] = {1, 3, 1, 11, 21, 59, 3, 153, 403, 95, 1939, 2679, 419, 9035, 31219, 2897, 15727, 0};
static int joe_kuo_d6_initial_number07268[] = {1, 3, 5, 1, 11, 21, 35, 169, 453, 15, 791, 3931, 1021, 16321, 6033, 10639, 16173, 0};
static int joe_kuo_d6_initial_number07269[] = {1, 3, 1, 11, 7, 57, 39, 61, 381, 465, 451, 2863, 575, 5597, 31041, 8625, 82373, 0};
static int joe_kuo_d6_initial_number07270[] = {1, 1, 3, 5, 13, 5, 63, 1, 75, 245, 1305, 285, 3367, 10107, 5853, 35275, 128255, 0};
static int joe_kuo_d6_initial_number07271[] = {1, 1, 1, 3, 1, 57, 21, 91, 139, 669, 765, 1867, 2153, 10347, 26119, 35517, 4725, 0};
static int joe_kuo_d6_initial_number07272[] = {1, 3, 5, 1, 21, 41, 59, 247, 473, 1015, 975, 485, 2161, 11941, 10341, 35245, 55587, 0};
static int joe_kuo_d6_initial_number07273[] = {1, 1, 5, 9, 7, 59, 33, 149, 97, 619, 393, 3613, 6037, 10895, 19461, 15975, 47919, 0};
static int joe_kuo_d6_initial_number07274[] = {1, 3, 3, 15, 7, 17, 95, 13, 147, 361, 915, 2585, 4483, 3159, 12255, 44685, 116163, 0};
static int joe_kuo_d6_initial_number07275[] = {1, 3, 1, 15, 27, 31, 75, 31, 423, 233, 1453, 2815, 3633, 6531, 25721, 29649, 80645, 0};
static int joe_kuo_d6_initial_number07276[] = {1, 3, 3, 3, 19, 7, 73, 33, 163, 495, 1483, 2277, 6455, 6523, 9331, 21869, 52175, 0};
static int joe_kuo_d6_initial_number07277[] = {1, 3, 5, 13, 5, 1, 63, 35, 335, 189, 713, 2997, 3277, 10049, 4681, 16753, 17107, 0};
static int joe_kuo_d6_initial_number07278[] = {1, 3, 5, 9, 3, 55, 29, 171, 395, 585, 671, 1875, 4449, 12895, 5455, 11023, 106189, 0};
static int joe_kuo_d6_initial_number07279[] = {1, 3, 5, 3, 25, 53, 33, 169, 109, 285, 787, 861, 5549, 5171, 15293, 2977, 14559, 0};
static int joe_kuo_d6_initial_number07280[] = {1, 3, 7, 1, 21, 25, 97, 115, 1, 999, 1033, 3471, 129, 16093, 495, 16859, 34615, 0};
static int joe_kuo_d6_initial_number07281[] = {1, 3, 5, 9, 13, 5, 109, 41, 57, 957, 231, 3771, 2917, 15649, 8869, 14857, 64943, 0};
static int joe_kuo_d6_initial_number07282[] = {1, 1, 7, 7, 21, 41, 101, 59, 167, 441, 997, 2951, 7891, 16325, 12669, 53829, 100705, 0};
static int joe_kuo_d6_initial_number07283[] = {1, 1, 7, 9, 19, 59, 23, 141, 193, 237, 1067, 1823, 3351, 3239, 3135, 9275, 37069, 0};
static int joe_kuo_d6_initial_number07284[] = {1, 3, 3, 9, 3, 17, 95, 73, 19, 231, 779, 3065, 2245, 2967, 24971, 62589, 16729, 0};
static int joe_kuo_d6_initial_number07285[] = {1, 3, 3, 13, 25, 19, 117, 147, 443, 123, 157, 2037, 327, 14715, 5693, 54641, 33325, 0};
static int joe_kuo_d6_initial_number07286[] = {1, 3, 1, 9, 21, 21, 21, 125, 49, 787, 767, 2831, 511, 2461, 31537, 27155, 44053, 0};
static int joe_kuo_d6_initial_number07287[] = {1, 3, 7, 9, 31, 19, 125, 67, 119, 465, 287, 1869, 3979, 15723, 21069, 8581, 66939, 0};
static int joe_kuo_d6_initial_number07288[] = {1, 1, 1, 11, 7, 37, 123, 237, 353, 499, 113, 3829, 217, 4751, 7385, 20343, 83699, 0};
static int joe_kuo_d6_initial_number07289[] = {1, 3, 7, 13, 9, 3, 53, 27, 487, 87, 35, 2645, 3481, 14409, 27875, 31695, 78489, 0};
static int joe_kuo_d6_initial_number07290[] = {1, 3, 3, 13, 9, 43, 67, 51, 153, 83, 591, 1991, 1787, 11973, 7273, 34801, 47199, 0};
static int joe_kuo_d6_initial_number07291[] = {1, 3, 7, 1, 15, 53, 71, 11, 205, 853, 2011, 581, 1281, 7819, 23083, 33731, 74951, 0};
static int joe_kuo_d6_initial_number07292[] = {1, 1, 5, 5, 17, 63, 109, 219, 225, 997, 1251, 3287, 1441, 13489, 22723, 45191, 50249, 0};
static int joe_kuo_d6_initial_number07293[] = {1, 1, 5, 3, 13, 1, 43, 53, 293, 685, 1369, 1515, 7479, 3233, 20007, 65235, 102467, 0};
static int joe_kuo_d6_initial_number07294[] = {1, 3, 5, 7, 29, 45, 63, 45, 219, 445, 2047, 317, 7553, 325, 1465, 949, 35163, 0};
static int joe_kuo_d6_initial_number07295[] = {1, 1, 3, 9, 7, 31, 73, 211, 501, 233, 1495, 701, 5857, 10763, 9743, 10289, 23801, 0};
static int joe_kuo_d6_initial_number07296[] = {1, 3, 7, 3, 23, 47, 99, 61, 179, 833, 1425, 1275, 4467, 4367, 5567, 23513, 68677, 0};
static int joe_kuo_d6_initial_number07297[] = {1, 1, 5, 5, 27, 33, 119, 229, 329, 51, 1025, 3167, 3405, 4039, 4135, 6655, 43771, 0};
static int joe_kuo_d6_initial_number07298[] = {1, 3, 7, 15, 5, 49, 91, 55, 425, 15, 2003, 1571, 3539, 10375, 29645, 5889, 51887, 0};
static int joe_kuo_d6_initial_number07299[] = {1, 1, 7, 3, 13, 55, 85, 91, 181, 723, 1941, 75, 4443, 11507, 7027, 14189, 50685, 0};
static int joe_kuo_d6_initial_number07300[] = {1, 3, 5, 5, 29, 49, 13, 3, 97, 165, 41, 3039, 3325, 2161, 775, 38501, 42381, 0};
static int joe_kuo_d6_initial_number07301[] = {1, 1, 5, 11, 9, 57, 47, 109, 9, 585, 375, 1839, 937, 6877, 29847, 60163, 103081, 0};
static int joe_kuo_d6_initial_number07302[] = {1, 1, 3, 13, 5, 47, 11, 195, 253, 235, 275, 2313, 163, 14683, 5681, 13381, 84553, 0};
static int joe_kuo_d6_initial_number07303[] = {1, 3, 3, 15, 15, 1, 93, 157, 437, 557, 307, 1179, 6857, 3101, 16723, 50579, 69603, 0};
static int joe_kuo_d6_initial_number07304[] = {1, 1, 5, 9, 11, 29, 23, 219, 337, 689, 1155, 2007, 6853, 6749, 20127, 13199, 48433, 0};
static int joe_kuo_d6_initial_number07305[] = {1, 1, 1, 13, 1, 61, 73, 213, 335, 539, 903, 2719, 775, 2775, 29109, 33367, 3281, 0};
static int joe_kuo_d6_initial_number07306[] = {1, 3, 1, 5, 15, 31, 65, 231, 439, 623, 1871, 2299, 5365, 10333, 9147, 2781, 63813, 0};
static int joe_kuo_d6_initial_number07307[] = {1, 1, 3, 1, 1, 25, 23, 229, 173, 279, 181, 1299, 2893, 15475, 12473, 46097, 123387, 0};
static int joe_kuo_d6_initial_number07308[] = {1, 1, 7, 13, 7, 43, 17, 187, 467, 113, 1293, 2013, 6091, 14621, 22195, 24079, 45379, 0};
static int joe_kuo_d6_initial_number07309[] = {1, 3, 1, 7, 1, 7, 119, 159, 377, 11, 705, 2853, 3767, 13739, 23375, 25563, 73987, 0};
static int joe_kuo_d6_initial_number07310[] = {1, 1, 3, 15, 21, 13, 111, 119, 401, 1005, 777, 1699, 2431, 15139, 27887, 28415, 71519, 0};
static int joe_kuo_d6_initial_number07311[] = {1, 1, 7, 9, 1, 49, 19, 171, 297, 77, 1343, 1249, 5769, 13889, 21401, 24915, 17641, 0};
static int joe_kuo_d6_initial_number07312[] = {1, 1, 7, 11, 31, 45, 51, 231, 123, 817, 13, 791, 6235, 2787, 475, 1717, 5071, 0};
static int joe_kuo_d6_initial_number07313[] = {1, 3, 3, 13, 5, 9, 21, 129, 253, 731, 785, 2275, 7343, 7841, 5477, 8973, 101033, 0};
static int joe_kuo_d6_initial_number07314[] = {1, 1, 7, 13, 23, 1, 119, 221, 293, 709, 2031, 3019, 1529, 2007, 10823, 43193, 82661, 0};
static int joe_kuo_d6_initial_number07315[] = {1, 3, 1, 11, 29, 29, 87, 79, 415, 679, 1899, 3453, 7355, 8627, 28225, 41857, 106645, 0};
static int joe_kuo_d6_initial_number07316[] = {1, 1, 5, 15, 9, 13, 21, 241, 491, 927, 999, 2131, 3501, 11063, 28595, 54691, 21297, 0};
static int joe_kuo_d6_initial_number07317[] = {1, 1, 1, 3, 5, 41, 85, 89, 483, 309, 791, 825, 3043, 2715, 16573, 6551, 77875, 0};
static int joe_kuo_d6_initial_number07318[] = {1, 3, 1, 1, 25, 21, 107, 123, 79, 1019, 821, 1251, 4943, 1429, 17843, 37013, 53285, 0};
static int joe_kuo_d6_initial_number07319[] = {1, 1, 5, 3, 7, 5, 35, 123, 445, 315, 627, 2543, 1261, 13737, 15991, 36591, 18309, 0};
static int joe_kuo_d6_initial_number07320[] = {1, 3, 3, 5, 25, 43, 65, 249, 309, 1023, 737, 1933, 4735, 7725, 12063, 53023, 126677, 0};
static int joe_kuo_d6_initial_number07321[] = {1, 3, 1, 9, 13, 37, 77, 61, 179, 275, 277, 1431, 2869, 14563, 665, 60553, 7661, 0};
static int joe_kuo_d6_initial_number07322[] = {1, 3, 5, 3, 29, 1, 127, 73, 363, 311, 1591, 3863, 6481, 4725, 8287, 61311, 39011, 0};
static int joe_kuo_d6_initial_number07323[] = {1, 3, 1, 7, 13, 23, 115, 215, 385, 563, 1033, 2343, 5023, 11013, 12131, 26997, 48645, 0};
static int joe_kuo_d6_initial_number07324[] = {1, 1, 5, 13, 3, 59, 41, 155, 263, 507, 1175, 2967, 7929, 8237, 11841, 15365, 51881, 0};
static int joe_kuo_d6_initial_number07325[] = {1, 1, 3, 11, 19, 35, 89, 115, 121, 315, 1697, 2121, 1867, 6865, 23639, 26525, 44687, 0};
static int joe_kuo_d6_initial_number07326[] = {1, 3, 5, 15, 9, 5, 125, 183, 149, 447, 309, 1743, 6089, 369, 16153, 63799, 57657, 0};
static int joe_kuo_d6_initial_number07327[] = {1, 1, 1, 7, 7, 39, 89, 139, 457, 741, 1613, 2883, 5057, 12495, 18669, 55469, 97941, 0};
static int joe_kuo_d6_initial_number07328[] = {1, 1, 5, 7, 29, 39, 97, 9, 481, 667, 1353, 3387, 2813, 16205, 8353, 22121, 92965, 0};
static int joe_kuo_d6_initial_number07329[] = {1, 3, 7, 9, 11, 55, 79, 159, 349, 717, 829, 3157, 1457, 6199, 5861, 2553, 20387, 0};
static int joe_kuo_d6_initial_number07330[] = {1, 1, 1, 11, 3, 51, 113, 53, 287, 109, 1717, 2405, 7207, 4473, 11145, 2549, 591, 0};
static int joe_kuo_d6_initial_number07331[] = {1, 1, 3, 13, 3, 61, 31, 141, 217, 487, 299, 2755, 3389, 10053, 1105, 21129, 74203, 0};
static int joe_kuo_d6_initial_number07332[] = {1, 1, 1, 3, 11, 55, 7, 113, 413, 449, 787, 3279, 5123, 16025, 15005, 12175, 6795, 0};
static int joe_kuo_d6_initial_number07333[] = {1, 3, 1, 1, 25, 23, 107, 191, 3, 3, 49, 1083, 3275, 10385, 7989, 53739, 25505, 0};
static int joe_kuo_d6_initial_number07334[] = {1, 1, 5, 13, 7, 17, 59, 13, 471, 147, 1627, 2119, 3555, 15555, 10333, 49363, 80959, 0};
static int joe_kuo_d6_initial_number07335[] = {1, 1, 1, 15, 23, 33, 61, 191, 207, 939, 45, 2781, 71, 9661, 28433, 13089, 76419, 0};
static int joe_kuo_d6_initial_number07336[] = {1, 3, 3, 7, 29, 47, 111, 19, 315, 381, 851, 1303, 2627, 6255, 30369, 37723, 12949, 0};
static int joe_kuo_d6_initial_number07337[] = {1, 1, 1, 13, 31, 43, 3, 193, 5, 99, 769, 2523, 1949, 129, 9693, 60535, 67059, 0};
static int joe_kuo_d6_initial_number07338[] = {1, 1, 3, 15, 5, 33, 73, 149, 253, 985, 863, 1551, 4369, 5911, 8269, 35463, 117055, 0};
static int joe_kuo_d6_initial_number07339[] = {1, 3, 1, 5, 27, 57, 3, 105, 253, 731, 119, 3287, 613, 4627, 22003, 56027, 123005, 0};
static int joe_kuo_d6_initial_number07340[] = {1, 1, 3, 3, 27, 47, 67, 147, 495, 865, 1233, 3707, 2511, 2951, 7367, 15625, 86417, 0};
static int joe_kuo_d6_initial_number07341[] = {1, 1, 7, 1, 7, 7, 13, 255, 457, 529, 953, 1481, 5565, 12495, 4723, 41615, 121829, 0};
static int joe_kuo_d6_initial_number07342[] = {1, 3, 5, 11, 1, 51, 91, 153, 323, 609, 1353, 2995, 4035, 13835, 28619, 46217, 4967, 0};
static int joe_kuo_d6_initial_number07343[] = {1, 1, 5, 7, 25, 59, 81, 101, 185, 709, 1249, 2285, 6579, 8655, 17563, 9707, 63845, 0};
static int joe_kuo_d6_initial_number07344[] = {1, 3, 3, 9, 31, 25, 17, 19, 111, 627, 1187, 2621, 6529, 9457, 25027, 18069, 47559, 0};
static int joe_kuo_d6_initial_number07345[] = {1, 3, 7, 15, 7, 15, 103, 201, 391, 1023, 817, 535, 2713, 1317, 13469, 56043, 70847, 0};
static int joe_kuo_d6_initial_number07346[] = {1, 1, 3, 7, 17, 57, 35, 99, 439, 367, 27, 2695, 3519, 8337, 14047, 58489, 69, 0};
static int joe_kuo_d6_initial_number07347[] = {1, 1, 1, 3, 17, 23, 71, 189, 57, 39, 715, 1779, 3081, 14657, 21895, 59203, 31005, 0};
static int joe_kuo_d6_initial_number07348[] = {1, 1, 7, 13, 1, 47, 69, 159, 353, 517, 271, 973, 5077, 15707, 11095, 19671, 3389, 0};
static int joe_kuo_d6_initial_number07349[] = {1, 1, 7, 13, 25, 55, 115, 21, 43, 939, 1697, 101, 4751, 1993, 2389, 28353, 45251, 0};
static int joe_kuo_d6_initial_number07350[] = {1, 3, 1, 15, 11, 57, 17, 49, 121, 419, 909, 121, 5047, 4235, 13051, 21529, 42097, 0};
static int joe_kuo_d6_initial_number07351[] = {1, 1, 1, 3, 19, 37, 31, 233, 251, 175, 929, 1527, 7527, 3605, 17075, 61053, 56235, 0};
static int joe_kuo_d6_initial_number07352[] = {1, 1, 1, 3, 9, 5, 117, 131, 251, 475, 1695, 1381, 2445, 5921, 14921, 937, 80791, 0};
static int joe_kuo_d6_initial_number07353[] = {1, 1, 3, 9, 11, 5, 31, 215, 37, 567, 1537, 2183, 3291, 1601, 14025, 48807, 7243, 0};
static int joe_kuo_d6_initial_number07354[] = {1, 3, 1, 9, 7, 13, 81, 249, 321, 473, 1419, 3977, 7037, 14191, 10865, 56131, 43225, 0};
static int joe_kuo_d6_initial_number07355[] = {1, 1, 1, 13, 15, 23, 31, 69, 449, 491, 1461, 729, 7955, 4003, 16817, 37273, 72025, 0};
static int joe_kuo_d6_initial_number07356[] = {1, 1, 5, 13, 7, 41, 93, 169, 347, 1013, 301, 2813, 1455, 13187, 10769, 60807, 46333, 0};
static int joe_kuo_d6_initial_number07357[] = {1, 1, 5, 3, 23, 15, 1, 161, 29, 35, 415, 235, 93, 14543, 29585, 29657, 36489, 0};
static int joe_kuo_d6_initial_number07358[] = {1, 3, 1, 3, 31, 63, 39, 235, 153, 549, 43, 147, 2317, 3537, 25561, 58287, 58725, 0};
static int joe_kuo_d6_initial_number07359[] = {1, 1, 3, 5, 5, 11, 59, 97, 349, 307, 501, 1701, 4243, 13717, 17419, 23387, 29533, 0};
static int joe_kuo_d6_initial_number07360[] = {1, 3, 1, 7, 7, 19, 33, 243, 67, 353, 2023, 3111, 7173, 10979, 28117, 40175, 45337, 0};
static int joe_kuo_d6_initial_number07361[] = {1, 1, 1, 5, 15, 59, 55, 135, 107, 543, 1743, 2695, 3293, 111, 32629, 8249, 52273, 0};
static int joe_kuo_d6_initial_number07362[] = {1, 3, 5, 13, 15, 57, 39, 79, 5, 451, 571, 1445, 1393, 2125, 31713, 59655, 20897, 0};
static int joe_kuo_d6_initial_number07363[] = {1, 1, 3, 11, 29, 61, 1, 37, 173, 513, 1779, 2649, 3289, 4679, 2039, 47587, 28973, 0};
static int joe_kuo_d6_initial_number07364[] = {1, 1, 5, 5, 15, 19, 17, 143, 387, 359, 275, 625, 7383, 15537, 10311, 40005, 20729, 0};
static int joe_kuo_d6_initial_number07365[] = {1, 1, 3, 9, 7, 23, 71, 179, 85, 447, 345, 3459, 2857, 8331, 5489, 62207, 64933, 0};
static int joe_kuo_d6_initial_number07366[] = {1, 1, 1, 1, 11, 61, 47, 131, 213, 611, 701, 713, 1269, 9563, 25223, 50697, 88679, 0};
static int joe_kuo_d6_initial_number07367[] = {1, 1, 5, 15, 21, 5, 77, 59, 455, 243, 459, 2809, 13, 9325, 32047, 3939, 48389, 0};
static int joe_kuo_d6_initial_number07368[] = {1, 3, 7, 1, 21, 53, 111, 225, 407, 119, 713, 3635, 1539, 15321, 29827, 36069, 74483, 0};
static int joe_kuo_d6_initial_number07369[] = {1, 1, 5, 13, 7, 45, 75, 43, 191, 715, 169, 759, 33, 11329, 1069, 36103, 28055, 0};
static int joe_kuo_d6_initial_number07370[] = {1, 3, 7, 5, 7, 13, 7, 35, 27, 391, 517, 1439, 5699, 1067, 23857, 7293, 66167, 0};
static int joe_kuo_d6_initial_number07371[] = {1, 1, 7, 11, 3, 31, 1, 83, 299, 345, 65, 669, 1529, 7569, 28959, 50561, 69493, 0};
static int joe_kuo_d6_initial_number07372[] = {1, 3, 1, 5, 25, 25, 43, 149, 83, 225, 1589, 1691, 7777, 773, 10421, 49523, 23533, 0};
static int joe_kuo_d6_initial_number07373[] = {1, 1, 5, 11, 25, 29, 81, 11, 497, 43, 951, 2551, 821, 13805, 12315, 61299, 81397, 0};
static int joe_kuo_d6_initial_number07374[] = {1, 3, 1, 9, 29, 23, 109, 123, 235, 255, 1519, 3289, 7761, 14575, 11851, 1719, 51655, 0};
static int joe_kuo_d6_initial_number07375[] = {1, 3, 5, 15, 21, 49, 13, 43, 87, 517, 687, 1457, 1501, 15959, 31907, 13771, 69379, 0};
static int joe_kuo_d6_initial_number07376[] = {1, 1, 5, 3, 21, 11, 87, 9, 343, 317, 845, 1663, 7933, 14063, 24915, 31487, 17445, 0};
static int joe_kuo_d6_initial_number07377[] = {1, 1, 3, 13, 21, 31, 87, 99, 185, 333, 993, 3899, 971, 2851, 23643, 195, 66957, 0};
static int joe_kuo_d6_initial_number07378[] = {1, 1, 1, 15, 19, 47, 23, 1, 67, 57, 165, 3903, 421, 10561, 11621, 13815, 10349, 0};
static int joe_kuo_d6_initial_number07379[] = {1, 3, 5, 11, 9, 19, 73, 17, 229, 913, 459, 3809, 2667, 9775, 3693, 52945, 90837, 0};
static int joe_kuo_d6_initial_number07380[] = {1, 1, 5, 15, 3, 25, 109, 131, 507, 637, 1615, 859, 6785, 14891, 24801, 39095, 79557, 0};
static int joe_kuo_d6_initial_number07381[] = {1, 1, 5, 7, 1, 51, 71, 251, 19, 799, 835, 1119, 2349, 15083, 16509, 55621, 123501, 0};
static int joe_kuo_d6_initial_number07382[] = {1, 3, 5, 9, 13, 39, 127, 1, 233, 37, 735, 3307, 5163, 4529, 5961, 12893, 103641, 0};
static int joe_kuo_d6_initial_number07383[] = {1, 1, 7, 5, 23, 15, 49, 123, 511, 201, 2025, 289, 3847, 15755, 24279, 52543, 42017, 0};
static int joe_kuo_d6_initial_number07384[] = {1, 1, 5, 3, 9, 61, 19, 37, 3, 361, 1065, 2971, 2517, 1259, 27359, 3823, 60181, 0};
static int joe_kuo_d6_initial_number07385[] = {1, 3, 1, 7, 15, 17, 57, 249, 57, 979, 147, 2407, 2579, 3159, 8467, 8433, 72873, 0};
static int joe_kuo_d6_initial_number07386[] = {1, 1, 3, 1, 25, 7, 47, 117, 449, 321, 143, 3867, 165, 7961, 27597, 10033, 2437, 0};
static int joe_kuo_d6_initial_number07387[] = {1, 3, 5, 13, 19, 49, 1, 83, 477, 549, 509, 2911, 1559, 14017, 10469, 62171, 82829, 0};
static int joe_kuo_d6_initial_number07388[] = {1, 3, 3, 7, 27, 21, 15, 63, 31, 45, 1223, 3903, 5469, 11983, 29627, 27453, 32019, 0};
static int joe_kuo_d6_initial_number07389[] = {1, 1, 7, 7, 9, 9, 7, 77, 349, 467, 61, 3465, 6921, 15761, 15179, 38649, 2469, 0};
static int joe_kuo_d6_initial_number07390[] = {1, 3, 1, 13, 9, 59, 55, 67, 271, 617, 643, 4071, 7963, 8153, 5121, 43917, 26219, 0};
static int joe_kuo_d6_initial_number07391[] = {1, 1, 3, 7, 29, 21, 63, 103, 327, 623, 931, 1511, 3125, 229, 28949, 61315, 72667, 0};
static int joe_kuo_d6_initial_number07392[] = {1, 3, 7, 1, 19, 37, 49, 63, 403, 885, 161, 121, 1447, 9227, 15019, 50049, 26939, 0};
static int joe_kuo_d6_initial_number07393[] = {1, 3, 3, 3, 23, 57, 95, 79, 485, 173, 93, 835, 7161, 11247, 3485, 5759, 36393, 0};
static int joe_kuo_d6_initial_number07394[] = {1, 3, 7, 13, 23, 33, 5, 97, 235, 531, 313, 2925, 2223, 847, 18591, 15477, 3129, 0};
static int joe_kuo_d6_initial_number07395[] = {1, 1, 3, 13, 25, 25, 101, 183, 477, 947, 1251, 2631, 7987, 13417, 23759, 55305, 123817, 0};
static int joe_kuo_d6_initial_number07396[] = {1, 1, 5, 9, 27, 63, 49, 137, 179, 861, 33, 2375, 3827, 6485, 19689, 7867, 124429, 0};
static int joe_kuo_d6_initial_number07397[] = {1, 3, 7, 3, 15, 43, 63, 103, 45, 947, 1837, 833, 7055, 7487, 19669, 12045, 78377, 0};
static int joe_kuo_d6_initial_number07398[] = {1, 3, 5, 3, 29, 35, 57, 19, 471, 985, 1147, 741, 5403, 10057, 25375, 50889, 82719, 0};
static int joe_kuo_d6_initial_number07399[] = {1, 3, 3, 1, 17, 19, 111, 13, 121, 821, 1831, 4043, 123, 9529, 1511, 10917, 105961, 0};
static int joe_kuo_d6_initial_number07400[] = {1, 1, 3, 11, 1, 43, 23, 75, 345, 9, 1379, 2157, 5887, 1197, 14849, 17103, 91925, 0};
static int joe_kuo_d6_initial_number07401[] = {1, 1, 3, 3, 19, 11, 1, 179, 343, 1023, 1801, 915, 255, 519, 5787, 32913, 43471, 0};
static int joe_kuo_d6_initial_number07402[] = {1, 3, 5, 5, 3, 3, 3, 211, 461, 55, 851, 3165, 2903, 15077, 8537, 2037, 109057, 0};
static int joe_kuo_d6_initial_number07403[] = {1, 1, 7, 15, 7, 7, 43, 249, 27, 511, 1369, 735, 6093, 12575, 26675, 21745, 117053, 0};
static int joe_kuo_d6_initial_number07404[] = {1, 1, 5, 7, 21, 53, 45, 83, 415, 645, 325, 4027, 5181, 8485, 1917, 55623, 45203, 0};
static int joe_kuo_d6_initial_number07405[] = {1, 1, 3, 15, 7, 1, 121, 221, 387, 403, 1877, 1671, 2113, 2379, 5667, 39867, 8079, 0};
static int joe_kuo_d6_initial_number07406[] = {1, 1, 1, 7, 5, 29, 35, 77, 197, 661, 1859, 2539, 4045, 13497, 305, 44987, 31215, 0};
static int joe_kuo_d6_initial_number07407[] = {1, 1, 5, 5, 13, 37, 13, 85, 287, 347, 579, 2283, 7911, 5463, 21141, 9035, 105067, 0};
static int joe_kuo_d6_initial_number07408[] = {1, 1, 1, 9, 17, 17, 63, 97, 57, 629, 1917, 1133, 779, 12365, 17127, 52549, 18755, 0};
static int joe_kuo_d6_initial_number07409[] = {1, 1, 7, 11, 7, 17, 65, 137, 485, 841, 653, 2921, 4935, 16273, 23333, 7399, 43129, 0};
static int joe_kuo_d6_initial_number07410[] = {1, 3, 1, 11, 31, 55, 93, 225, 319, 35, 947, 1909, 7733, 8303, 20739, 55713, 6633, 0};
static int joe_kuo_d6_initial_number07411[] = {1, 1, 1, 3, 11, 25, 1, 165, 305, 275, 607, 3845, 5203, 1989, 13803, 597, 39751, 0};
static int joe_kuo_d6_initial_number07412[] = {1, 1, 5, 11, 31, 43, 83, 237, 453, 59, 457, 741, 411, 15895, 18891, 30133, 66767, 0};
static int joe_kuo_d6_initial_number07413[] = {1, 3, 5, 11, 3, 23, 65, 81, 299, 527, 1057, 2731, 3839, 6023, 28887, 64929, 41405, 0};
static int joe_kuo_d6_initial_number07414[] = {1, 3, 1, 1, 3, 5, 11, 169, 123, 957, 1495, 1717, 4079, 13239, 28339, 33677, 30591, 0};
static int joe_kuo_d6_initial_number07415[] = {1, 1, 7, 15, 3, 1, 37, 245, 169, 273, 2039, 415, 6555, 13131, 11181, 62179, 36885, 0};
static int joe_kuo_d6_initial_number07416[] = {1, 1, 3, 11, 1, 55, 19, 19, 425, 113, 1367, 2101, 5581, 985, 2475, 53983, 68999, 0};
static int joe_kuo_d6_initial_number07417[] = {1, 1, 5, 9, 5, 33, 101, 193, 303, 579, 1265, 2791, 479, 12083, 17609, 31801, 113089, 0};
static int joe_kuo_d6_initial_number07418[] = {1, 1, 3, 3, 17, 61, 59, 249, 81, 821, 1, 431, 5327, 8675, 23469, 15349, 67711, 0};
static int joe_kuo_d6_initial_number07419[] = {1, 1, 7, 9, 31, 51, 89, 19, 469, 843, 561, 559, 4823, 7803, 31699, 44537, 56835, 0};
static int joe_kuo_d6_initial_number07420[] = {1, 3, 7, 9, 11, 57, 27, 43, 469, 655, 433, 3081, 6719, 6651, 30823, 61503, 110711, 0};
static int joe_kuo_d6_initial_number07421[] = {1, 3, 5, 11, 9, 53, 25, 147, 61, 533, 1369, 879, 7935, 13829, 26655, 17327, 52983, 0};
static int joe_kuo_d6_initial_number07422[] = {1, 3, 7, 11, 15, 27, 97, 175, 435, 53, 75, 807, 549, 5277, 1831, 19421, 55669, 0};
static int joe_kuo_d6_initial_number07423[] = {1, 1, 7, 15, 23, 5, 99, 133, 485, 587, 65, 2585, 7667, 2783, 19437, 52769, 1587, 0};
static int joe_kuo_d6_initial_number07424[] = {1, 1, 7, 7, 13, 39, 111, 165, 489, 355, 1963, 333, 2993, 5233, 9173, 18951, 93737, 0};
static int joe_kuo_d6_initial_number07425[] = {1, 1, 5, 7, 1, 29, 67, 135, 427, 91, 53, 3109, 3745, 9529, 17567, 42361, 84577, 0};
static int joe_kuo_d6_initial_number07426[] = {1, 3, 5, 1, 31, 35, 59, 181, 87, 345, 1975, 781, 603, 16365, 19453, 9933, 112739, 0};
static int joe_kuo_d6_initial_number07427[] = {1, 3, 3, 1, 31, 41, 127, 35, 263, 403, 1811, 383, 1523, 8477, 5973, 41569, 99309, 0};
static int joe_kuo_d6_initial_number07428[] = {1, 3, 7, 7, 5, 25, 11, 201, 231, 679, 519, 2481, 7415, 12397, 21265, 49419, 13903, 0};
static int joe_kuo_d6_initial_number07429[] = {1, 1, 7, 5, 1, 11, 63, 221, 327, 509, 419, 871, 7891, 11835, 11099, 10669, 43853, 0};
static int joe_kuo_d6_initial_number07430[] = {1, 1, 5, 11, 19, 11, 37, 105, 265, 513, 1013, 707, 6083, 14571, 17573, 7645, 5363, 0};
static int joe_kuo_d6_initial_number07431[] = {1, 1, 1, 13, 19, 19, 67, 93, 113, 509, 1013, 4037, 1939, 7015, 24487, 57183, 123463, 0};
static int joe_kuo_d6_initial_number07432[] = {1, 1, 1, 1, 21, 17, 95, 25, 261, 1005, 685, 691, 4467, 14723, 24043, 32287, 19651, 0};
static int joe_kuo_d6_initial_number07433[] = {1, 3, 1, 15, 15, 15, 57, 191, 27, 719, 229, 1977, 241, 9021, 21335, 30967, 81207, 0};
static int joe_kuo_d6_initial_number07434[] = {1, 3, 1, 9, 23, 61, 103, 67, 361, 925, 811, 1007, 5707, 11479, 5907, 3897, 65141, 0};
static int joe_kuo_d6_initial_number07435[] = {1, 3, 5, 9, 17, 61, 11, 15, 351, 715, 939, 2141, 4857, 8397, 9693, 26845, 120007, 0};
static int joe_kuo_d6_initial_number07436[] = {1, 3, 1, 5, 19, 55, 99, 19, 291, 309, 287, 1969, 4341, 7579, 30909, 37277, 54927, 0};
static int joe_kuo_d6_initial_number07437[] = {1, 3, 7, 3, 19, 29, 43, 163, 367, 753, 1733, 1463, 7927, 10671, 16817, 41229, 113887, 0};
static int joe_kuo_d6_initial_number07438[] = {1, 3, 7, 1, 11, 51, 39, 207, 283, 73, 1423, 2473, 7593, 3581, 30179, 6369, 112217, 0};
static int joe_kuo_d6_initial_number07439[] = {1, 1, 3, 15, 15, 25, 43, 5, 271, 611, 959, 537, 303, 3659, 18073, 8147, 81531, 0};
static int joe_kuo_d6_initial_number07440[] = {1, 3, 7, 1, 27, 55, 77, 11, 367, 209, 1967, 3409, 935, 5309, 18857, 46225, 8367, 0};
static int joe_kuo_d6_initial_number07441[] = {1, 1, 5, 11, 11, 63, 75, 73, 43, 869, 2021, 3285, 269, 9113, 32699, 2091, 17327, 0};
static int joe_kuo_d6_initial_number07442[] = {1, 1, 5, 11, 9, 25, 31, 245, 109, 805, 1645, 3607, 817, 9571, 12767, 65441, 129977, 0};
static int joe_kuo_d6_initial_number07443[] = {1, 3, 7, 5, 11, 61, 67, 223, 433, 387, 935, 1615, 7915, 6133, 24087, 55323, 100619, 0};
static int joe_kuo_d6_initial_number07444[] = {1, 1, 1, 15, 25, 61, 7, 39, 311, 353, 183, 33, 2591, 4951, 31377, 9081, 9707, 0};
static int joe_kuo_d6_initial_number07445[] = {1, 1, 3, 3, 1, 9, 65, 229, 185, 47, 1255, 1365, 2231, 6843, 26927, 27195, 60651, 0};
static int joe_kuo_d6_initial_number07446[] = {1, 1, 7, 5, 7, 25, 91, 133, 159, 737, 1767, 3117, 7321, 6159, 3361, 27793, 33473, 0};
static int joe_kuo_d6_initial_number07447[] = {1, 3, 7, 3, 11, 7, 5, 125, 369, 951, 1277, 65, 7703, 1817, 11773, 25657, 67045, 0};
static int joe_kuo_d6_initial_number07448[] = {1, 1, 3, 9, 21, 27, 21, 41, 131, 605, 1, 119, 1553, 1361, 31973, 43135, 119321, 0};
static int joe_kuo_d6_initial_number07449[] = {1, 3, 7, 1, 25, 63, 55, 173, 323, 403, 1401, 1367, 3455, 15335, 13045, 20759, 8309, 0};
static int joe_kuo_d6_initial_number07450[] = {1, 1, 3, 5, 3, 61, 59, 7, 39, 439, 721, 2829, 3035, 2293, 32015, 28509, 104831, 0};
static int joe_kuo_d6_initial_number07451[] = {1, 3, 5, 1, 29, 35, 71, 87, 351, 917, 1661, 547, 4501, 7107, 5493, 17833, 130729, 0};
static int joe_kuo_d6_initial_number07452[] = {1, 1, 5, 5, 7, 5, 69, 57, 319, 595, 1749, 3789, 1437, 6327, 24089, 7387, 125109, 0};
static int joe_kuo_d6_initial_number07453[] = {1, 3, 5, 9, 15, 53, 95, 59, 217, 37, 1561, 401, 5259, 4361, 1049, 3437, 30559, 0};
static int joe_kuo_d6_initial_number07454[] = {1, 3, 7, 13, 15, 15, 107, 167, 475, 157, 1565, 2219, 1891, 1433, 11829, 43433, 48111, 0};
static int joe_kuo_d6_initial_number07455[] = {1, 1, 1, 3, 11, 41, 25, 211, 243, 355, 1831, 2093, 2747, 2523, 9885, 9503, 120089, 0};
static int joe_kuo_d6_initial_number07456[] = {1, 3, 7, 5, 11, 3, 1, 231, 243, 541, 341, 887, 3567, 14759, 26763, 35705, 29417, 0};
static int joe_kuo_d6_initial_number07457[] = {1, 1, 7, 13, 17, 35, 117, 177, 81, 361, 1425, 2437, 6821, 1061, 15019, 19135, 106007, 0};
static int joe_kuo_d6_initial_number07458[] = {1, 3, 3, 11, 19, 5, 39, 23, 367, 9, 879, 3583, 2527, 14375, 28359, 27393, 55041, 0};
static int joe_kuo_d6_initial_number07459[] = {1, 1, 7, 11, 9, 41, 63, 125, 33, 337, 587, 3939, 2635, 4559, 1007, 38991, 35651, 0};
static int joe_kuo_d6_initial_number07460[] = {1, 1, 3, 1, 19, 11, 83, 13, 227, 649, 415, 1661, 3285, 55, 3683, 22319, 2127, 0};
static int joe_kuo_d6_initial_number07461[] = {1, 3, 7, 13, 19, 49, 113, 129, 83, 5, 19, 1095, 6561, 11049, 3805, 11355, 84265, 0};
static int joe_kuo_d6_initial_number07462[] = {1, 3, 1, 9, 19, 41, 111, 193, 429, 319, 67, 1717, 1819, 12959, 31449, 21035, 113161, 0};
static int joe_kuo_d6_initial_number07463[] = {1, 1, 5, 11, 19, 19, 115, 237, 145, 681, 1525, 2215, 7915, 15529, 7533, 45981, 85461, 0};
static int joe_kuo_d6_initial_number07464[] = {1, 1, 1, 1, 25, 3, 73, 207, 15, 69, 43, 1643, 7707, 12505, 27101, 40735, 6091, 0};
static int joe_kuo_d6_initial_number07465[] = {1, 1, 5, 11, 21, 61, 119, 7, 37, 147, 1379, 3165, 6555, 3867, 24027, 45161, 93015, 0};
static int joe_kuo_d6_initial_number07466[] = {1, 1, 3, 9, 9, 25, 51, 125, 511, 209, 75, 2849, 2299, 2901, 25157, 13079, 67733, 0};
static int joe_kuo_d6_initial_number07467[] = {1, 3, 7, 9, 31, 49, 99, 21, 89, 1, 1391, 1741, 2733, 7283, 12087, 9287, 39713, 0};
static int joe_kuo_d6_initial_number07468[] = {1, 1, 5, 5, 1, 5, 89, 109, 499, 343, 431, 401, 2023, 5541, 16615, 40059, 119195, 0};
static int joe_kuo_d6_initial_number07469[] = {1, 3, 5, 15, 27, 27, 9, 159, 395, 31, 865, 2793, 55, 10961, 23123, 63731, 54385, 0};
static int joe_kuo_d6_initial_number07470[] = {1, 3, 7, 1, 11, 47, 123, 239, 399, 383, 1497, 4075, 4659, 2911, 2101, 8295, 115717, 0};
static int joe_kuo_d6_initial_number07471[] = {1, 1, 3, 1, 11, 63, 125, 171, 65, 15, 349, 753, 2981, 6713, 6219, 14093, 78797, 0};
static int joe_kuo_d6_initial_number07472[] = {1, 1, 1, 13, 9, 15, 1, 113, 221, 867, 1907, 103, 1411, 27, 22743, 377, 116907, 0};
static int joe_kuo_d6_initial_number07473[] = {1, 3, 1, 5, 27, 5, 27, 245, 221, 575, 2009, 1561, 4263, 11843, 28331, 12865, 10483, 0};
static int joe_kuo_d6_initial_number07474[] = {1, 3, 7, 9, 1, 51, 119, 241, 439, 913, 1191, 2343, 2055, 10247, 18283, 40175, 63321, 0};
static int joe_kuo_d6_initial_number07475[] = {1, 1, 3, 15, 21, 59, 45, 151, 485, 293, 981, 3523, 7689, 2789, 5003, 62383, 126221, 0};
static int joe_kuo_d6_initial_number07476[] = {1, 1, 1, 1, 13, 15, 39, 201, 405, 513, 1721, 2077, 5995, 2433, 20421, 12695, 20393, 0};
static int joe_kuo_d6_initial_number07477[] = {1, 3, 5, 15, 11, 35, 113, 133, 187, 583, 577, 291, 7563, 12959, 9383, 44255, 81763, 0};
static int joe_kuo_d6_initial_number07478[] = {1, 3, 7, 15, 9, 55, 57, 227, 189, 595, 1311, 1131, 1323, 11347, 12777, 50963, 13827, 0};
static int joe_kuo_d6_initial_number07479[] = {1, 3, 5, 3, 11, 49, 77, 157, 107, 959, 761, 1457, 7121, 3027, 9269, 26291, 125261, 0};
static int joe_kuo_d6_initial_number07480[] = {1, 1, 5, 9, 23, 53, 125, 211, 303, 433, 1103, 41, 2643, 5325, 11885, 23825, 80415, 0};
static int joe_kuo_d6_initial_number07481[] = {1, 1, 7, 1, 29, 25, 51, 107, 209, 165, 707, 1855, 7429, 1583, 5941, 47509, 90105, 0};
static int joe_kuo_d6_initial_number07482[] = {1, 1, 3, 3, 1, 15, 121, 165, 181, 259, 1949, 3049, 3545, 3093, 5967, 49207, 37129, 0};
static int joe_kuo_d6_initial_number07483[] = {1, 1, 5, 13, 9, 59, 93, 87, 57, 343, 389, 1995, 4001, 11495, 12909, 13491, 61759, 0};
static int joe_kuo_d6_initial_number07484[] = {1, 3, 1, 5, 11, 27, 27, 133, 459, 733, 1845, 1795, 4613, 3397, 12313, 52839, 129583, 0};
static int joe_kuo_d6_initial_number07485[] = {1, 3, 5, 3, 19, 1, 7, 145, 255, 337, 1649, 1473, 4113, 4425, 12233, 55477, 69157, 0};
static int joe_kuo_d6_initial_number07486[] = {1, 1, 3, 1, 25, 27, 93, 59, 415, 437, 25, 1565, 319, 8981, 2453, 53579, 45033, 0};
static int joe_kuo_d6_initial_number07487[] = {1, 3, 7, 1, 27, 49, 47, 233, 341, 101, 2017, 2827, 8085, 237, 6363, 61139, 88903, 0};
static int joe_kuo_d6_initial_number07488[] = {1, 1, 1, 5, 23, 47, 65, 251, 423, 957, 1751, 3541, 5405, 1335, 22703, 12587, 60201, 0};
static int joe_kuo_d6_initial_number07489[] = {1, 1, 3, 3, 5, 51, 85, 195, 423, 519, 1797, 3821, 5915, 12257, 5377, 62733, 41197, 0};
static int joe_kuo_d6_initial_number07490[] = {1, 3, 7, 15, 3, 47, 97, 1, 5, 175, 1449, 1609, 6873, 12017, 5579, 2665, 58389, 0};
static int joe_kuo_d6_initial_number07491[] = {1, 3, 3, 15, 19, 37, 35, 29, 79, 767, 21, 1279, 1997, 11611, 14381, 35607, 127701, 0};
static int joe_kuo_d6_initial_number07492[] = {1, 3, 7, 7, 7, 43, 47, 33, 69, 155, 703, 1373, 1589, 6997, 8627, 50647, 16989, 0};
static int joe_kuo_d6_initial_number07493[] = {1, 3, 1, 5, 13, 33, 69, 133, 399, 361, 1633, 321, 2077, 8857, 13419, 23227, 40003, 0};
static int joe_kuo_d6_initial_number07494[] = {1, 1, 1, 15, 15, 9, 45, 181, 427, 1005, 341, 1697, 6423, 5727, 7163, 10401, 38957, 0};
static int joe_kuo_d6_initial_number07495[] = {1, 1, 7, 1, 17, 5, 17, 95, 279, 171, 825, 2459, 5243, 10683, 1849, 32809, 8995, 0};
static int joe_kuo_d6_initial_number07496[] = {1, 3, 5, 15, 27, 47, 103, 69, 69, 255, 961, 2173, 5297, 5987, 5863, 14311, 117569, 0};
static int joe_kuo_d6_initial_number07497[] = {1, 1, 1, 11, 21, 27, 61, 239, 183, 1013, 1955, 3171, 4183, 965, 14885, 49605, 87851, 0};
static int joe_kuo_d6_initial_number07498[] = {1, 1, 7, 9, 9, 53, 99, 211, 267, 803, 1545, 4011, 7613, 13889, 28277, 6817, 26515, 0};
static int joe_kuo_d6_initial_number07499[] = {1, 1, 3, 9, 1, 19, 33, 227, 461, 679, 499, 1069, 837, 12129, 20779, 12937, 104367, 0};
static int joe_kuo_d6_initial_number07500[] = {1, 3, 3, 15, 7, 3, 29, 245, 179, 1015, 1651, 3753, 4185, 15357, 17379, 52835, 51953, 0};
static int joe_kuo_d6_initial_number07501[] = {1, 3, 3, 3, 3, 25, 95, 239, 263, 427, 1749, 183, 5251, 361, 32549, 24331, 30789, 0};
static int joe_kuo_d6_initial_number07502[] = {1, 1, 7, 1, 5, 3, 79, 9, 403, 195, 1433, 385, 8105, 7893, 16415, 23253, 127837, 0};
static int joe_kuo_d6_initial_number07503[] = {1, 3, 7, 3, 23, 45, 115, 27, 473, 241, 361, 1787, 4247, 13451, 5627, 32923, 29375, 0};
static int joe_kuo_d6_initial_number07504[] = {1, 3, 7, 1, 5, 55, 43, 37, 481, 899, 51, 2459, 5005, 12365, 19261, 32797, 45843, 0};
static int joe_kuo_d6_initial_number07505[] = {1, 3, 7, 5, 9, 41, 83, 163, 241, 899, 567, 231, 4897, 15175, 10329, 6625, 95927, 0};
static int joe_kuo_d6_initial_number07506[] = {1, 3, 1, 1, 7, 51, 61, 55, 253, 315, 1893, 2635, 4061, 257, 14147, 36639, 24893, 0};
static int joe_kuo_d6_initial_number07507[] = {1, 1, 5, 1, 13, 63, 115, 119, 205, 309, 277, 2191, 341, 4715, 13111, 58043, 51241, 0};
static int joe_kuo_d6_initial_number07508[] = {1, 3, 1, 15, 17, 23, 89, 121, 205, 15, 295, 667, 421, 14071, 27719, 1335, 9887, 0};
static int joe_kuo_d6_initial_number07509[] = {1, 3, 5, 5, 17, 49, 5, 93, 251, 613, 1029, 945, 1547, 10479, 20183, 26787, 120441, 0};
static int joe_kuo_d6_initial_number07510[] = {1, 3, 3, 15, 17, 11, 63, 97, 499, 313, 881, 2233, 4287, 5141, 13841, 40725, 49285, 0};
static int joe_kuo_d6_initial_number07511[] = {1, 3, 3, 11, 19, 33, 105, 203, 325, 337, 353, 1923, 7157, 8623, 23881, 4513, 71495, 0};
static int joe_kuo_d6_initial_number07512[] = {1, 1, 5, 1, 3, 15, 119, 43, 85, 869, 1597, 2433, 845, 5065, 12813, 64849, 58491, 0};
static int joe_kuo_d6_initial_number07513[] = {1, 3, 7, 7, 25, 63, 119, 93, 303, 665, 571, 1795, 5853, 13527, 12715, 36483, 57723, 0};
static int joe_kuo_d6_initial_number07514[] = {1, 3, 7, 13, 19, 43, 55, 85, 189, 627, 1457, 3185, 3491, 1913, 13399, 30681, 69015, 0};
static int joe_kuo_d6_initial_number07515[] = {1, 3, 5, 9, 5, 41, 51, 65, 147, 425, 569, 1317, 1557, 7631, 17243, 37847, 51161, 0};
static int joe_kuo_d6_initial_number07516[] = {1, 1, 3, 7, 29, 39, 61, 127, 489, 89, 749, 2073, 195, 14367, 13533, 27403, 16365, 0};
static int joe_kuo_d6_initial_number07517[] = {1, 3, 7, 15, 13, 35, 45, 157, 373, 415, 725, 779, 3559, 7489, 11369, 36501, 60761, 0};
static int joe_kuo_d6_initial_number07518[] = {1, 3, 1, 3, 13, 45, 25, 215, 385, 709, 499, 3861, 761, 15597, 3335, 37013, 13173, 0};
static int joe_kuo_d6_initial_number07519[] = {1, 1, 7, 1, 13, 49, 89, 135, 175, 1015, 67, 957, 4893, 9843, 13027, 14709, 59721, 0};
static int joe_kuo_d6_initial_number07520[] = {1, 3, 3, 11, 19, 37, 109, 143, 135, 535, 1543, 3991, 189, 6739, 28087, 18845, 41819, 0};
static int joe_kuo_d6_initial_number07521[] = {1, 1, 7, 5, 1, 7, 11, 5, 211, 251, 1593, 2527, 3539, 10471, 25595, 60119, 89213, 0};
static int joe_kuo_d6_initial_number07522[] = {1, 1, 5, 7, 13, 51, 121, 167, 299, 403, 977, 521, 279, 15521, 15901, 935, 14065, 0};
static int joe_kuo_d6_initial_number07523[] = {1, 1, 7, 13, 7, 21, 27, 205, 377, 801, 1365, 1567, 6651, 139, 14229, 30827, 50429, 0};
static int joe_kuo_d6_initial_number07524[] = {1, 1, 1, 1, 17, 11, 75, 87, 217, 413, 1923, 1765, 2037, 14061, 12433, 30671, 24883, 0};
static int joe_kuo_d6_initial_number07525[] = {1, 1, 5, 13, 17, 51, 91, 241, 95, 505, 349, 2689, 1117, 4435, 1713, 44501, 125619, 0};
static int joe_kuo_d6_initial_number07526[] = {1, 1, 3, 15, 11, 21, 25, 59, 511, 353, 799, 91, 4517, 16005, 17061, 21841, 46311, 0};
static int joe_kuo_d6_initial_number07527[] = {1, 1, 1, 5, 19, 53, 109, 177, 213, 373, 761, 453, 5753, 69, 3503, 49411, 111105, 0};
static int joe_kuo_d6_initial_number07528[] = {1, 3, 1, 5, 21, 27, 103, 167, 109, 55, 1849, 3999, 7801, 4185, 9789, 7515, 124983, 0};
static int joe_kuo_d6_initial_number07529[] = {1, 3, 7, 7, 25, 9, 65, 127, 141, 169, 1079, 3377, 691, 5119, 6629, 3517, 28963, 0};
static int joe_kuo_d6_initial_number07530[] = {1, 1, 3, 11, 15, 61, 127, 35, 87, 891, 1459, 483, 6763, 16173, 5633, 6939, 63411, 0};
static int joe_kuo_d6_initial_number07531[] = {1, 3, 5, 3, 7, 63, 111, 85, 415, 273, 1705, 4045, 5551, 2377, 29025, 16831, 90203, 0};
static int joe_kuo_d6_initial_number07532[] = {1, 3, 5, 13, 7, 23, 103, 227, 477, 985, 1059, 1489, 7233, 1917, 10409, 38759, 86761, 0};
static int joe_kuo_d6_initial_number07533[] = {1, 3, 5, 7, 31, 33, 75, 41, 355, 577, 225, 5, 897, 15653, 27415, 83, 14911, 0};
static int joe_kuo_d6_initial_number07534[] = {1, 3, 5, 5, 23, 13, 5, 43, 165, 53, 149, 2005, 4545, 477, 17885, 21343, 35751, 0};
static int joe_kuo_d6_initial_number07535[] = {1, 3, 3, 3, 25, 51, 33, 203, 291, 835, 241, 3255, 3709, 3573, 9859, 33027, 122801, 0};
static int joe_kuo_d6_initial_number07536[] = {1, 3, 5, 7, 13, 7, 3, 141, 455, 67, 2003, 3411, 4717, 157, 29491, 14429, 44849, 0};
static int joe_kuo_d6_initial_number07537[] = {1, 1, 1, 11, 3, 33, 101, 93, 219, 371, 1191, 1521, 1663, 8485, 24815, 38283, 120867, 0};
static int joe_kuo_d6_initial_number07538[] = {1, 1, 3, 9, 25, 61, 71, 173, 69, 181, 1525, 2129, 2979, 19, 13489, 627, 72619, 0};
static int joe_kuo_d6_initial_number07539[] = {1, 3, 1, 7, 25, 33, 39, 247, 221, 7, 683, 1837, 8037, 9125, 4259, 63049, 63021, 0};
static int joe_kuo_d6_initial_number07540[] = {1, 3, 3, 9, 17, 15, 9, 189, 357, 707, 521, 711, 8189, 12945, 29675, 11851, 126813, 0};
static int joe_kuo_d6_initial_number07541[] = {1, 3, 1, 1, 23, 3, 57, 133, 245, 301, 957, 239, 3139, 7949, 27133, 18229, 93015, 0};
static int joe_kuo_d6_initial_number07542[] = {1, 1, 3, 1, 29, 23, 35, 87, 231, 257, 1997, 271, 3019, 3409, 10613, 42245, 111309, 0};
static int joe_kuo_d6_initial_number07543[] = {1, 1, 3, 3, 1, 21, 17, 37, 393, 943, 791, 3101, 6715, 11907, 25369, 9061, 75381, 0};
static int joe_kuo_d6_initial_number07544[] = {1, 1, 7, 7, 17, 31, 25, 7, 183, 819, 1265, 3343, 6845, 2039, 3779, 41861, 38309, 0};
static int joe_kuo_d6_initial_number07545[] = {1, 1, 1, 5, 17, 25, 1, 41, 173, 995, 863, 3515, 1779, 2159, 28223, 64661, 40697, 0};
static int joe_kuo_d6_initial_number07546[] = {1, 1, 3, 15, 29, 49, 81, 241, 511, 817, 1301, 3593, 6759, 7483, 8859, 30339, 106137, 0};
static int joe_kuo_d6_initial_number07547[] = {1, 3, 1, 11, 17, 61, 95, 231, 3, 693, 37, 1091, 3111, 11941, 17475, 8073, 62373, 0};
static int joe_kuo_d6_initial_number07548[] = {1, 1, 1, 3, 7, 25, 93, 7, 291, 957, 859, 2519, 241, 10963, 10403, 933, 50599, 0};
static int joe_kuo_d6_initial_number07549[] = {1, 1, 7, 1, 7, 33, 121, 91, 369, 333, 229, 4073, 6063, 6491, 31711, 65061, 107843, 0};
static int joe_kuo_d6_initial_number07550[] = {1, 1, 5, 15, 17, 1, 117, 195, 445, 547, 867, 2893, 4835, 6513, 29091, 60367, 33409, 0};
static int joe_kuo_d6_initial_number07551[] = {1, 3, 3, 7, 15, 5, 125, 131, 165, 127, 207, 853, 5927, 3605, 17083, 44481, 111333, 0};
static int joe_kuo_d6_initial_number07552[] = {1, 1, 1, 9, 3, 43, 75, 191, 319, 889, 1513, 3301, 1535, 4693, 10367, 12491, 43175, 0};
static int joe_kuo_d6_initial_number07553[] = {1, 3, 5, 5, 29, 19, 75, 221, 393, 977, 1373, 1571, 7377, 1763, 18073, 11381, 101241, 0};
static int joe_kuo_d6_initial_number07554[] = {1, 3, 1, 15, 3, 15, 73, 91, 165, 213, 1077, 1267, 2411, 15807, 3979, 12731, 86597, 0};
static int joe_kuo_d6_initial_number07555[] = {1, 1, 3, 7, 3, 21, 5, 135, 95, 337, 1853, 1675, 2449, 12535, 18505, 60127, 76949, 0};
static int joe_kuo_d6_initial_number07556[] = {1, 1, 7, 3, 15, 11, 63, 127, 329, 169, 1569, 675, 4801, 5859, 3243, 25811, 77841, 0};
static int joe_kuo_d6_initial_number07557[] = {1, 1, 1, 9, 19, 13, 73, 119, 105, 537, 951, 1033, 5303, 5775, 815, 19277, 57607, 0};
static int joe_kuo_d6_initial_number07558[] = {1, 3, 5, 5, 23, 21, 91, 231, 117, 1007, 1603, 841, 2595, 11223, 17171, 25963, 17049, 0};
static int joe_kuo_d6_initial_number07559[] = {1, 1, 5, 11, 15, 43, 7, 229, 55, 129, 599, 993, 563, 15677, 16703, 36253, 17847, 0};
static int joe_kuo_d6_initial_number07560[] = {1, 3, 1, 9, 25, 3, 109, 21, 87, 721, 1927, 3219, 3395, 3267, 9117, 13591, 89267, 0};
static int joe_kuo_d6_initial_number07561[] = {1, 1, 1, 15, 11, 17, 47, 49, 125, 925, 333, 945, 2411, 10907, 12021, 47857, 84303, 0};
static int joe_kuo_d6_initial_number07562[] = {1, 1, 1, 1, 23, 11, 99, 215, 105, 417, 823, 1289, 421, 12285, 17711, 35389, 1935, 0};
static int joe_kuo_d6_initial_number07563[] = {1, 1, 1, 15, 27, 7, 23, 141, 7, 929, 147, 681, 5473, 4173, 28645, 42053, 83573, 0};
static int joe_kuo_d6_initial_number07564[] = {1, 1, 1, 11, 5, 61, 71, 65, 287, 697, 1183, 3257, 7251, 14011, 21349, 42445, 4701, 0};
static int joe_kuo_d6_initial_number07565[] = {1, 3, 5, 9, 5, 23, 45, 217, 369, 189, 1495, 107, 425, 10467, 4909, 64293, 17885, 0};
static int joe_kuo_d6_initial_number07566[] = {1, 1, 3, 11, 21, 45, 75, 65, 57, 893, 783, 3429, 409, 13617, 483, 62489, 2919, 0};
static int joe_kuo_d6_initial_number07567[] = {1, 1, 7, 3, 5, 61, 51, 255, 501, 839, 367, 1165, 7055, 8139, 23891, 18807, 20739, 0};
static int joe_kuo_d6_initial_number07568[] = {1, 1, 3, 7, 23, 15, 97, 139, 323, 463, 921, 1529, 6655, 8697, 23577, 56761, 62023, 0};
static int joe_kuo_d6_initial_number07569[] = {1, 1, 5, 11, 13, 11, 57, 225, 277, 713, 1427, 95, 1135, 7721, 30731, 32625, 107891, 0};
static int joe_kuo_d6_initial_number07570[] = {1, 1, 5, 7, 23, 35, 39, 91, 291, 609, 919, 3325, 6843, 7659, 5603, 37471, 41495, 0};
static int joe_kuo_d6_initial_number07571[] = {1, 1, 1, 1, 25, 11, 117, 15, 389, 589, 1345, 423, 6531, 9903, 20243, 9523, 22991, 0};
static int joe_kuo_d6_initial_number07572[] = {1, 3, 5, 15, 29, 7, 57, 113, 387, 883, 1141, 3295, 2973, 4129, 16973, 33429, 109997, 0};
static int joe_kuo_d6_initial_number07573[] = {1, 3, 5, 3, 25, 1, 73, 207, 353, 203, 1479, 985, 6373, 3079, 28403, 63675, 21787, 0};
static int joe_kuo_d6_initial_number07574[] = {1, 3, 1, 5, 31, 39, 107, 197, 359, 45, 203, 559, 4721, 6579, 11305, 12957, 10061, 0};
static int joe_kuo_d6_initial_number07575[] = {1, 3, 7, 15, 9, 3, 55, 153, 373, 981, 575, 827, 4757, 15743, 14295, 43875, 17847, 0};
static int joe_kuo_d6_initial_number07576[] = {1, 3, 5, 1, 17, 1, 93, 87, 207, 997, 1695, 3643, 6973, 9507, 29309, 58531, 6849, 0};
static int joe_kuo_d6_initial_number07577[] = {1, 3, 1, 11, 3, 39, 17, 241, 83, 931, 39, 3839, 6437, 5159, 28869, 61859, 96873, 0};
static int joe_kuo_d6_initial_number07578[] = {1, 1, 5, 13, 29, 43, 71, 159, 261, 563, 695, 1205, 2273, 8077, 12569, 17187, 54369, 0};
static int joe_kuo_d6_initial_number07579[] = {1, 3, 7, 5, 11, 57, 17, 31, 311, 1001, 1419, 3899, 6679, 15531, 28877, 28221, 105413, 0};
static int joe_kuo_d6_initial_number07580[] = {1, 3, 3, 13, 23, 29, 127, 19, 345, 1003, 1571, 2219, 3199, 9903, 18701, 31865, 108879, 0};
static int joe_kuo_d6_initial_number07581[] = {1, 3, 7, 13, 23, 51, 95, 43, 35, 439, 25, 323, 2365, 12407, 27525, 57795, 74495, 0};
static int joe_kuo_d6_initial_number07582[] = {1, 1, 1, 1, 17, 43, 57, 185, 439, 929, 69, 813, 6205, 3139, 3853, 56967, 19073, 0};
static int joe_kuo_d6_initial_number07583[] = {1, 3, 7, 1, 27, 5, 43, 211, 395, 113, 1675, 1505, 6171, 5169, 9991, 21641, 27101, 0};
static int joe_kuo_d6_initial_number07584[] = {1, 3, 3, 1, 17, 41, 59, 131, 131, 339, 955, 1145, 5301, 4585, 20441, 43227, 23123, 0};
static int joe_kuo_d6_initial_number07585[] = {1, 1, 7, 9, 9, 55, 61, 31, 71, 229, 963, 3247, 4677, 9595, 21715, 36391, 86997, 0};
static int joe_kuo_d6_initial_number07586[] = {1, 1, 7, 5, 9, 17, 55, 179, 27, 229, 79, 1335, 5887, 1003, 22085, 34377, 51367, 0};
static int joe_kuo_d6_initial_number07587[] = {1, 1, 1, 5, 11, 45, 15, 219, 411, 27, 1003, 1553, 303, 13571, 13985, 6801, 52407, 0};
static int joe_kuo_d6_initial_number07588[] = {1, 3, 3, 7, 7, 55, 111, 255, 453, 409, 1863, 1449, 4103, 8725, 26923, 5017, 43657, 0};
static int joe_kuo_d6_initial_number07589[] = {1, 1, 1, 15, 23, 3, 95, 57, 29, 727, 1111, 3309, 1089, 471, 16099, 11517, 51563, 0};
static int joe_kuo_d6_initial_number07590[] = {1, 3, 1, 15, 17, 57, 83, 163, 251, 987, 1159, 2079, 3463, 13109, 7443, 8665, 123397, 0};
static int joe_kuo_d6_initial_number07591[] = {1, 1, 7, 1, 27, 13, 35, 209, 471, 843, 1029, 1383, 5413, 2085, 13431, 26557, 47033, 0};
static int joe_kuo_d6_initial_number07592[] = {1, 3, 1, 1, 21, 21, 83, 135, 303, 27, 1407, 1751, 331, 9207, 31891, 59287, 120687, 0};
static int joe_kuo_d6_initial_number07593[] = {1, 1, 1, 9, 11, 35, 103, 157, 1, 855, 175, 3203, 4381, 3113, 27589, 4567, 31897, 0};
static int joe_kuo_d6_initial_number07594[] = {1, 1, 3, 5, 21, 5, 123, 161, 301, 101, 909, 947, 6893, 15459, 29139, 49377, 94901, 0};
static int joe_kuo_d6_initial_number07595[] = {1, 3, 7, 7, 21, 27, 5, 69, 427, 409, 1389, 3737, 847, 2775, 603, 1001, 87651, 0};
static int joe_kuo_d6_initial_number07596[] = {1, 1, 3, 5, 1, 57, 109, 89, 99, 593, 581, 3527, 1557, 4971, 27523, 26909, 35787, 0};
static int joe_kuo_d6_initial_number07597[] = {1, 1, 7, 3, 31, 19, 83, 65, 239, 919, 15, 2289, 4117, 9127, 6033, 49667, 89343, 0};
static int joe_kuo_d6_initial_number07598[] = {1, 3, 7, 7, 9, 31, 87, 117, 195, 681, 1711, 1753, 2221, 10053, 1985, 6273, 21801, 0};
static int joe_kuo_d6_initial_number07599[] = {1, 3, 1, 7, 21, 61, 53, 231, 309, 115, 1729, 3883, 6085, 4825, 31455, 50097, 59779, 0};
static int joe_kuo_d6_initial_number07600[] = {1, 1, 1, 9, 29, 25, 45, 91, 145, 927, 147, 371, 2603, 12537, 17267, 59895, 128009, 0};
static int joe_kuo_d6_initial_number07601[] = {1, 1, 1, 1, 15, 41, 63, 43, 167, 215, 15, 3387, 1811, 12391, 25721, 6961, 13701, 0};
static int joe_kuo_d6_initial_number07602[] = {1, 1, 7, 1, 27, 63, 25, 85, 337, 799, 87, 2237, 4085, 14529, 11493, 60149, 86399, 0};
static int joe_kuo_d6_initial_number07603[] = {1, 3, 1, 11, 1, 41, 103, 145, 279, 805, 1201, 823, 5411, 4227, 25999, 14373, 36295, 0};
static int joe_kuo_d6_initial_number07604[] = {1, 1, 7, 3, 27, 51, 83, 105, 155, 657, 1879, 3869, 2559, 2939, 19785, 47167, 34503, 0};
static int joe_kuo_d6_initial_number07605[] = {1, 3, 1, 5, 3, 31, 47, 241, 257, 15, 983, 4095, 3745, 3901, 1639, 5421, 81585, 0};
static int joe_kuo_d6_initial_number07606[] = {1, 3, 3, 5, 31, 13, 127, 125, 175, 577, 1103, 3573, 6229, 13969, 6267, 19067, 3933, 0};
static int joe_kuo_d6_initial_number07607[] = {1, 1, 7, 1, 31, 17, 15, 15, 411, 553, 1929, 3731, 1955, 11749, 21991, 39189, 124427, 0};
static int joe_kuo_d6_initial_number07608[] = {1, 3, 5, 5, 19, 63, 93, 201, 491, 599, 1093, 767, 3411, 13087, 23569, 42981, 35757, 0};
static int joe_kuo_d6_initial_number07609[] = {1, 1, 1, 15, 27, 7, 51, 101, 429, 939, 111, 781, 2055, 14227, 17821, 42097, 32485, 0};
static int joe_kuo_d6_initial_number07610[] = {1, 3, 7, 13, 11, 21, 3, 161, 353, 389, 285, 2633, 6245, 7089, 21907, 40765, 88869, 0};
static int joe_kuo_d6_initial_number07611[] = {1, 1, 5, 9, 7, 27, 101, 203, 243, 897, 1375, 1619, 5275, 12935, 22103, 38005, 65603, 0};
static int joe_kuo_d6_initial_number07612[] = {1, 1, 5, 9, 13, 25, 15, 21, 447, 7, 947, 1613, 5055, 129, 18057, 58551, 6603, 0};
static int joe_kuo_d6_initial_number07613[] = {1, 3, 7, 15, 17, 41, 11, 55, 103, 339, 349, 1813, 7423, 11837, 20641, 51951, 61615, 0};
static int joe_kuo_d6_initial_number07614[] = {1, 3, 3, 15, 21, 59, 113, 3, 123, 689, 465, 3039, 4109, 3241, 30317, 65053, 117845, 0};
static int joe_kuo_d6_initial_number07615[] = {1, 3, 3, 1, 31, 33, 73, 155, 245, 401, 473, 51, 1387, 489, 10573, 55401, 106733, 0};
static int joe_kuo_d6_initial_number07616[] = {1, 3, 3, 1, 31, 37, 15, 139, 127, 201, 229, 1753, 7287, 9045, 18321, 63485, 26399, 0};
static int joe_kuo_d6_initial_number07617[] = {1, 3, 5, 5, 5, 23, 93, 3, 125, 715, 1827, 419, 1213, 9031, 25139, 20771, 41345, 0};
static int joe_kuo_d6_initial_number07618[] = {1, 3, 5, 15, 23, 15, 13, 145, 105, 477, 1131, 2699, 1929, 10447, 9655, 26791, 80101, 0};
static int joe_kuo_d6_initial_number07619[] = {1, 1, 1, 13, 1, 35, 75, 73, 269, 851, 737, 1909, 6805, 11359, 28991, 52435, 83767, 0};
static int joe_kuo_d6_initial_number07620[] = {1, 1, 7, 5, 11, 31, 31, 91, 111, 161, 1865, 2545, 133, 12215, 8957, 20671, 92975, 0};
static int joe_kuo_d6_initial_number07621[] = {1, 1, 7, 5, 25, 53, 55, 121, 53, 457, 831, 2493, 339, 10955, 30783, 9095, 97921, 0};
static int joe_kuo_d6_initial_number07622[] = {1, 1, 5, 3, 25, 33, 81, 51, 211, 737, 1865, 4039, 6931, 8473, 22459, 24885, 96355, 0};
static int joe_kuo_d6_initial_number07623[] = {1, 3, 7, 13, 23, 5, 101, 171, 65, 793, 443, 411, 7629, 14791, 28633, 9055, 123763, 0};
static int joe_kuo_d6_initial_number07624[] = {1, 3, 3, 1, 11, 7, 99, 79, 461, 481, 1689, 3777, 2125, 4783, 13061, 19537, 68109, 0};
static int joe_kuo_d6_initial_number07625[] = {1, 1, 3, 11, 31, 53, 109, 7, 49, 925, 1017, 2371, 1537, 13557, 75, 40677, 49181, 0};
static int joe_kuo_d6_initial_number07626[] = {1, 3, 3, 3, 9, 1, 95, 113, 189, 389, 377, 393, 6523, 3183, 6461, 30201, 66549, 0};
static int joe_kuo_d6_initial_number07627[] = {1, 1, 7, 15, 13, 19, 41, 171, 475, 157, 949, 3245, 5581, 2783, 25263, 53023, 11155, 0};
static int joe_kuo_d6_initial_number07628[] = {1, 3, 5, 7, 29, 63, 61, 65, 315, 595, 905, 899, 5059, 4243, 27287, 14023, 64213, 0};
static int joe_kuo_d6_initial_number07629[] = {1, 3, 1, 3, 15, 37, 109, 161, 9, 867, 1023, 2513, 4593, 7747, 1505, 4801, 127091, 0};
static int joe_kuo_d6_initial_number07630[] = {1, 3, 1, 7, 11, 59, 75, 129, 469, 695, 63, 2757, 6357, 8675, 6193, 23439, 66445, 0};
static int joe_kuo_d6_initial_number07631[] = {1, 1, 3, 13, 17, 9, 47, 91, 161, 265, 139, 129, 6707, 9659, 8917, 54757, 77835, 0};
static int joe_kuo_d6_initial_number07632[] = {1, 1, 3, 13, 19, 37, 113, 255, 99, 913, 1445, 487, 337, 1001, 16395, 37141, 66595, 0};
static int joe_kuo_d6_initial_number07633[] = {1, 1, 1, 15, 3, 63, 69, 43, 185, 293, 1137, 2061, 2377, 8741, 26817, 5833, 7807, 0};
static int joe_kuo_d6_initial_number07634[] = {1, 1, 1, 5, 3, 29, 39, 33, 263, 355, 597, 539, 5055, 13075, 8977, 19829, 88171, 0};
static int joe_kuo_d6_initial_number07635[] = {1, 3, 7, 9, 17, 49, 125, 101, 447, 597, 1337, 559, 2807, 7925, 12421, 17427, 34815, 0};
static int joe_kuo_d6_initial_number07636[] = {1, 3, 1, 9, 11, 57, 31, 163, 503, 925, 911, 3721, 2515, 8429, 25749, 55209, 90105, 0};
static int joe_kuo_d6_initial_number07637[] = {1, 3, 5, 3, 21, 57, 119, 233, 319, 745, 563, 3057, 2683, 7063, 11513, 49157, 64561, 0};
static int joe_kuo_d6_initial_number07638[] = {1, 1, 3, 9, 15, 21, 93, 99, 227, 479, 965, 51, 6941, 9887, 32409, 23171, 98387, 0};
static int joe_kuo_d6_initial_number07639[] = {1, 3, 5, 5, 19, 1, 47, 49, 233, 931, 971, 2369, 2827, 1291, 18653, 725, 19791, 0};
static int joe_kuo_d6_initial_number07640[] = {1, 1, 5, 15, 3, 7, 71, 251, 341, 861, 1203, 793, 7627, 10929, 10717, 10677, 49743, 0};
static int joe_kuo_d6_initial_number07641[] = {1, 3, 1, 7, 3, 43, 9, 187, 247, 621, 1069, 2875, 1525, 4221, 18813, 35807, 117609, 0};
static int joe_kuo_d6_initial_number07642[] = {1, 3, 3, 3, 29, 39, 83, 201, 205, 337, 231, 547, 2893, 2483, 6197, 26869, 18921, 0};
static int joe_kuo_d6_initial_number07643[] = {1, 1, 7, 3, 23, 29, 33, 137, 491, 691, 979, 65, 5711, 11685, 5137, 37993, 37075, 0};
static int joe_kuo_d6_initial_number07644[] = {1, 3, 3, 1, 11, 3, 99, 119, 203, 901, 1887, 879, 7547, 4613, 31233, 13279, 105089, 0};
static int joe_kuo_d6_initial_number07645[] = {1, 1, 1, 13, 25, 23, 111, 167, 313, 141, 127, 1223, 5711, 4101, 10977, 34695, 128303, 0};
static int joe_kuo_d6_initial_number07646[] = {1, 1, 7, 15, 5, 3, 89, 151, 289, 769, 539, 2883, 8121, 15403, 22345, 63765, 117015, 0};
static int joe_kuo_d6_initial_number07647[] = {1, 1, 1, 13, 15, 9, 71, 95, 37, 705, 1575, 3735, 7445, 2027, 27523, 53321, 106085, 0};
static int joe_kuo_d6_initial_number07648[] = {1, 3, 5, 7, 5, 29, 7, 25, 181, 491, 1173, 1947, 3321, 9233, 17265, 26999, 97783, 0};
static int joe_kuo_d6_initial_number07649[] = {1, 1, 3, 15, 1, 63, 111, 113, 279, 123, 345, 1529, 2725, 8643, 8551, 30073, 26689, 0};
static int joe_kuo_d6_initial_number07650[] = {1, 3, 7, 7, 5, 55, 117, 211, 293, 851, 1491, 3265, 4009, 14949, 10297, 16219, 69983, 0};
static int joe_kuo_d6_initial_number07651[] = {1, 1, 3, 11, 23, 45, 35, 91, 97, 191, 417, 3545, 1733, 3955, 10763, 10229, 75027, 0};
static int joe_kuo_d6_initial_number07652[] = {1, 1, 3, 13, 3, 61, 69, 205, 379, 627, 295, 3979, 85, 11305, 2493, 35583, 3133, 0};
static int joe_kuo_d6_initial_number07653[] = {1, 3, 5, 9, 5, 63, 67, 201, 351, 367, 1009, 739, 5409, 8715, 28939, 31511, 34599, 0};
static int joe_kuo_d6_initial_number07654[] = {1, 1, 1, 5, 3, 25, 21, 25, 477, 301, 623, 157, 563, 9457, 24515, 30135, 107165, 0};
static int joe_kuo_d6_initial_number07655[] = {1, 1, 3, 15, 5, 41, 49, 171, 469, 427, 857, 2165, 1437, 2151, 24061, 63243, 105331, 0};
static int joe_kuo_d6_initial_number07656[] = {1, 3, 5, 11, 21, 25, 59, 167, 29, 653, 1503, 2223, 3889, 4605, 28381, 36075, 74907, 0};
static int joe_kuo_d6_initial_number07657[] = {1, 3, 7, 7, 17, 55, 73, 127, 33, 319, 1565, 2761, 6473, 2187, 19939, 56687, 112137, 0};
static int joe_kuo_d6_initial_number07658[] = {1, 1, 1, 9, 7, 53, 105, 3, 299, 15, 1009, 607, 6885, 12875, 20719, 16841, 70471, 0};
static int joe_kuo_d6_initial_number07659[] = {1, 3, 5, 9, 7, 33, 23, 163, 279, 739, 1541, 3017, 2309, 11827, 3875, 44337, 82063, 0};
static int joe_kuo_d6_initial_number07660[] = {1, 1, 1, 5, 19, 53, 109, 193, 331, 339, 477, 4093, 5177, 13527, 25731, 64137, 81411, 0};
static int joe_kuo_d6_initial_number07661[] = {1, 3, 7, 13, 15, 63, 101, 145, 127, 13, 1431, 3581, 4993, 14287, 12125, 60217, 102563, 0};
static int joe_kuo_d6_initial_number07662[] = {1, 3, 1, 7, 17, 27, 127, 81, 223, 763, 761, 2061, 1031, 12251, 14141, 23587, 124813, 0};
static int joe_kuo_d6_initial_number07663[] = {1, 3, 5, 13, 27, 21, 9, 249, 285, 875, 65, 4075, 6749, 13417, 3079, 29343, 87075, 0};
static int joe_kuo_d6_initial_number07664[] = {1, 3, 5, 13, 1, 31, 61, 21, 169, 145, 1681, 1229, 5059, 13555, 21373, 35597, 70669, 0};
static int joe_kuo_d6_initial_number07665[] = {1, 3, 7, 15, 23, 31, 43, 237, 139, 9, 1905, 3197, 801, 14205, 13323, 18717, 88523, 0};
static int joe_kuo_d6_initial_number07666[] = {1, 1, 1, 11, 1, 7, 21, 83, 15, 459, 537, 4029, 6973, 4019, 1, 35147, 16329, 0};
static int joe_kuo_d6_initial_number07667[] = {1, 3, 7, 15, 23, 11, 17, 101, 235, 683, 913, 3529, 4363, 13899, 3603, 27741, 74143, 0};
static int joe_kuo_d6_initial_number07668[] = {1, 1, 7, 7, 3, 3, 91, 107, 499, 723, 315, 2805, 5909, 11041, 18281, 54981, 76041, 0};
static int joe_kuo_d6_initial_number07669[] = {1, 3, 7, 9, 15, 7, 93, 171, 275, 647, 655, 3565, 2199, 14795, 21945, 9373, 122299, 0};
static int joe_kuo_d6_initial_number07670[] = {1, 1, 1, 5, 27, 53, 73, 27, 431, 707, 53, 1281, 49, 13199, 1973, 18935, 114821, 0};
static int joe_kuo_d6_initial_number07671[] = {1, 1, 3, 3, 25, 1, 17, 159, 217, 413, 1393, 2119, 5611, 7659, 6003, 19927, 22287, 0};
static int joe_kuo_d6_initial_number07672[] = {1, 1, 7, 15, 29, 59, 77, 9, 205, 795, 627, 2167, 2477, 6841, 17663, 34871, 79823, 0};
static int joe_kuo_d6_initial_number07673[] = {1, 3, 5, 9, 13, 35, 79, 237, 11, 335, 789, 2291, 13, 853, 20373, 39049, 407, 0};
static int joe_kuo_d6_initial_number07674[] = {1, 1, 5, 7, 13, 27, 21, 173, 137, 659, 123, 2677, 2153, 14879, 26737, 56291, 47613, 0};
static int joe_kuo_d6_initial_number07675[] = {1, 3, 5, 15, 23, 47, 15, 109, 311, 597, 261, 2407, 8139, 3215, 28169, 60731, 79937, 0};
static int joe_kuo_d6_initial_number07676[] = {1, 3, 3, 5, 11, 61, 71, 29, 189, 741, 1171, 397, 2669, 10627, 20037, 51703, 6697, 0};
static int joe_kuo_d6_initial_number07677[] = {1, 3, 3, 3, 9, 41, 125, 1, 381, 399, 349, 3265, 6337, 8113, 14869, 5305, 83409, 0};
static int joe_kuo_d6_initial_number07678[] = {1, 1, 3, 13, 5, 19, 33, 225, 45, 55, 1809, 1037, 5443, 15719, 9963, 363, 15145, 0};
static int joe_kuo_d6_initial_number07679[] = {1, 3, 7, 1, 31, 25, 103, 29, 207, 169, 305, 913, 7501, 15323, 10575, 13477, 65245, 0};
static int joe_kuo_d6_initial_number07680[] = {1, 3, 3, 15, 13, 23, 69, 255, 333, 157, 279, 1989, 3439, 12955, 13649, 52431, 90009, 0};
static int joe_kuo_d6_initial_number07681[] = {1, 3, 7, 5, 23, 61, 111, 121, 79, 469, 89, 1545, 3405, 12393, 2035, 15989, 84855, 0};
static int joe_kuo_d6_initial_number07682[] = {1, 1, 7, 5, 17, 21, 127, 151, 283, 521, 5, 3023, 5365, 11633, 21177, 42207, 48925, 0};
static int joe_kuo_d6_initial_number07683[] = {1, 3, 7, 5, 21, 21, 61, 17, 415, 879, 1485, 3727, 935, 9899, 23241, 651, 103701, 0};
static int joe_kuo_d6_initial_number07684[] = {1, 3, 5, 15, 31, 47, 19, 245, 249, 467, 253, 1575, 337, 863, 19353, 13153, 125453, 0};
static int joe_kuo_d6_initial_number07685[] = {1, 1, 7, 15, 9, 41, 39, 63, 139, 875, 1011, 1961, 1627, 7461, 28961, 47195, 16239, 0};
static int joe_kuo_d6_initial_number07686[] = {1, 3, 3, 7, 27, 55, 51, 245, 231, 619, 43, 91, 2125, 2685, 23661, 10189, 43085, 0};
static int joe_kuo_d6_initial_number07687[] = {1, 1, 7, 9, 27, 55, 35, 139, 187, 143, 1545, 2685, 3173, 12065, 21607, 42619, 105279, 0};
static int joe_kuo_d6_initial_number07688[] = {1, 1, 5, 3, 29, 63, 15, 197, 49, 995, 389, 1959, 2441, 11509, 31753, 40539, 26989, 0};
static int joe_kuo_d6_initial_number07689[] = {1, 3, 7, 15, 19, 37, 17, 37, 305, 469, 945, 2335, 1493, 13843, 19905, 49031, 107893, 0};
static int joe_kuo_d6_initial_number07690[] = {1, 3, 1, 11, 3, 35, 113, 181, 223, 27, 485, 2435, 3423, 11321, 1687, 45755, 18017, 0};
static int joe_kuo_d6_initial_number07691[] = {1, 3, 3, 13, 17, 47, 109, 145, 287, 769, 1373, 3423, 1251, 14357, 3209, 28363, 97987, 0};
static int joe_kuo_d6_initial_number07692[] = {1, 1, 3, 13, 7, 25, 93, 11, 23, 331, 517, 1705, 1957, 291, 763, 10411, 120367, 0};
static int joe_kuo_d6_initial_number07693[] = {1, 3, 7, 15, 25, 9, 1, 33, 83, 61, 97, 509, 5387, 8701, 14243, 31883, 7375, 0};
static int joe_kuo_d6_initial_number07694[] = {1, 3, 1, 5, 19, 11, 59, 95, 265, 205, 533, 1857, 693, 12469, 24445, 19449, 130623, 0};
static int joe_kuo_d6_initial_number07695[] = {1, 1, 7, 7, 1, 5, 15, 159, 333, 361, 391, 1889, 2645, 15115, 30709, 60515, 13315, 0};
static int joe_kuo_d6_initial_number07696[] = {1, 3, 5, 15, 25, 61, 69, 213, 183, 575, 1573, 3147, 1753, 2387, 23063, 12853, 108507, 0};
static int joe_kuo_d6_initial_number07697[] = {1, 1, 1, 15, 17, 31, 11, 177, 411, 23, 469, 3985, 2159, 2273, 14175, 20425, 107741, 0};
static int joe_kuo_d6_initial_number07698[] = {1, 1, 3, 9, 5, 35, 55, 225, 263, 641, 1393, 1277, 595, 2671, 7039, 64999, 114387, 0};
static int joe_kuo_d6_initial_number07699[] = {1, 1, 3, 3, 11, 23, 1, 161, 77, 755, 1325, 1773, 4291, 13119, 29677, 27295, 81713, 0};
static int joe_kuo_d6_initial_number07700[] = {1, 1, 5, 13, 31, 45, 115, 141, 449, 171, 1413, 2411, 7937, 10859, 19453, 64403, 45169, 0};
static int joe_kuo_d6_initial_number07701[] = {1, 3, 5, 7, 1, 27, 117, 157, 99, 119, 1281, 2633, 5117, 16009, 19545, 7421, 30807, 0};
static int joe_kuo_d6_initial_number07702[] = {1, 1, 3, 13, 19, 11, 61, 239, 331, 731, 1723, 1773, 2623, 15255, 17197, 63793, 100433, 0};
static int joe_kuo_d6_initial_number07703[] = {1, 3, 7, 11, 11, 7, 119, 33, 195, 521, 811, 2599, 3113, 5497, 16751, 2541, 21813, 0};
static int joe_kuo_d6_initial_number07704[] = {1, 1, 1, 15, 23, 47, 25, 73, 429, 213, 557, 1613, 7055, 7211, 2225, 1345, 58033, 0};
static int joe_kuo_d6_initial_number07705[] = {1, 1, 1, 13, 15, 39, 69, 71, 11, 543, 267, 2803, 4853, 9819, 603, 4629, 78343, 0};
static int joe_kuo_d6_initial_number07706[] = {1, 1, 7, 1, 15, 55, 47, 223, 63, 679, 1135, 3225, 3845, 12031, 6761, 20337, 29021, 0};
static int joe_kuo_d6_initial_number07707[] = {1, 1, 3, 3, 3, 51, 127, 103, 43, 379, 169, 2549, 7775, 2553, 27415, 30671, 34043, 0};
static int joe_kuo_d6_initial_number07708[] = {1, 1, 3, 11, 1, 31, 89, 113, 475, 857, 499, 3901, 5343, 8819, 4503, 58757, 60513, 0};
static int joe_kuo_d6_initial_number07709[] = {1, 3, 5, 11, 27, 49, 97, 217, 91, 971, 1835, 3447, 2021, 3747, 20533, 13659, 84007, 0};
static int joe_kuo_d6_initial_number07710[] = {1, 1, 5, 1, 31, 39, 49, 21, 135, 983, 579, 3509, 3611, 15101, 29781, 49941, 14353, 0};
static int joe_kuo_d6_initial_number07711[] = {1, 1, 1, 9, 7, 17, 55, 233, 295, 161, 823, 3823, 4771, 13531, 24197, 42629, 60269, 0};
static int joe_kuo_d6_initial_number07712[] = {1, 1, 3, 15, 23, 5, 101, 167, 55, 297, 1733, 3819, 7041, 9915, 27803, 60359, 10249, 0};
static int joe_kuo_d6_initial_number07713[] = {1, 1, 7, 9, 25, 47, 67, 253, 303, 313, 1389, 3785, 2729, 11471, 27267, 42783, 111595, 0};
static int joe_kuo_d6_initial_number07714[] = {1, 1, 5, 13, 25, 63, 17, 195, 457, 793, 1553, 1673, 6799, 12171, 9003, 22195, 90229, 0};
static int joe_kuo_d6_initial_number07715[] = {1, 1, 3, 15, 11, 43, 43, 221, 423, 985, 873, 599, 1753, 4875, 7149, 34625, 8941, 0};
static int joe_kuo_d6_initial_number07716[] = {1, 3, 5, 11, 1, 7, 109, 163, 309, 477, 1291, 3019, 1933, 14055, 15005, 1141, 66867, 0};
static int joe_kuo_d6_initial_number07717[] = {1, 3, 3, 15, 21, 35, 95, 131, 413, 1009, 147, 2165, 6333, 8313, 20873, 18377, 23579, 0};
static int joe_kuo_d6_initial_number07718[] = {1, 3, 1, 5, 21, 49, 29, 187, 67, 419, 253, 2345, 3179, 12331, 23127, 8799, 102493, 0};
static int joe_kuo_d6_initial_number07719[] = {1, 1, 7, 5, 29, 59, 13, 189, 377, 595, 1893, 527, 7993, 14867, 24671, 14585, 38645, 0};
static int joe_kuo_d6_initial_number07720[] = {1, 3, 5, 13, 3, 11, 99, 69, 253, 833, 1961, 2719, 3953, 8143, 21277, 16257, 26929, 0};
static int joe_kuo_d6_initial_number07721[] = {1, 3, 7, 3, 3, 19, 19, 57, 393, 187, 945, 2107, 669, 14785, 13895, 26907, 92439, 0};
static int joe_kuo_d6_initial_number07722[] = {1, 3, 5, 15, 11, 5, 73, 167, 99, 887, 1213, 2019, 3781, 14345, 30249, 16215, 1893, 0};
static int joe_kuo_d6_initial_number07723[] = {1, 1, 5, 1, 17, 11, 69, 145, 97, 393, 1587, 2513, 1011, 6933, 7945, 41387, 34361, 0};
static int joe_kuo_d6_initial_number07724[] = {1, 1, 5, 1, 5, 59, 57, 1, 501, 855, 1485, 977, 4981, 7631, 31853, 30737, 103023, 0};
static int joe_kuo_d6_initial_number07725[] = {1, 3, 1, 5, 3, 27, 55, 171, 317, 641, 1875, 2523, 1631, 4971, 18743, 25119, 118913, 0};
static int joe_kuo_d6_initial_number07726[] = {1, 1, 3, 15, 7, 39, 73, 209, 125, 29, 1031, 1569, 1793, 5461, 985, 59441, 92997, 0};
static int joe_kuo_d6_initial_number07727[] = {1, 3, 5, 11, 27, 23, 57, 13, 65, 555, 1309, 1149, 5125, 11573, 3835, 57913, 78699, 0};
static int joe_kuo_d6_initial_number07728[] = {1, 3, 7, 5, 29, 7, 51, 131, 443, 623, 1491, 1067, 6647, 6277, 25799, 54843, 90869, 0};
static int joe_kuo_d6_initial_number07729[] = {1, 1, 1, 11, 7, 33, 67, 113, 319, 665, 11, 1225, 3137, 16269, 20101, 40263, 31091, 0};
static int joe_kuo_d6_initial_number07730[] = {1, 3, 5, 15, 7, 5, 101, 153, 165, 173, 97, 1651, 6633, 6071, 29079, 35641, 77305, 0};
static int joe_kuo_d6_initial_number07731[] = {1, 3, 7, 13, 9, 45, 103, 55, 121, 1021, 1841, 315, 8127, 6547, 1093, 7181, 39575, 0};
static int joe_kuo_d6_initial_number07732[] = {1, 3, 3, 11, 15, 17, 27, 55, 341, 443, 377, 681, 3635, 1091, 16719, 49403, 85507, 0};
static int joe_kuo_d6_initial_number07733[] = {1, 3, 5, 5, 29, 53, 51, 213, 273, 475, 981, 549, 539, 14989, 4037, 23911, 45997, 0};
static int joe_kuo_d6_initial_number07734[] = {1, 3, 5, 3, 27, 37, 73, 115, 331, 911, 991, 4049, 6299, 3919, 10231, 31507, 98651, 0};
static int joe_kuo_d6_initial_number07735[] = {1, 1, 5, 13, 21, 13, 1, 175, 137, 837, 1067, 2845, 307, 4399, 15671, 1309, 107409, 0};
static int joe_kuo_d6_initial_number07736[] = {1, 1, 3, 1, 5, 47, 111, 75, 193, 389, 157, 3731, 6237, 5053, 9933, 28413, 32939, 0};
static int joe_kuo_d6_initial_number07737[] = {1, 1, 7, 5, 29, 1, 51, 85, 267, 935, 1021, 3135, 3135, 9263, 32597, 6779, 71473, 0};
static int joe_kuo_d6_initial_number07738[] = {1, 3, 5, 9, 21, 59, 27, 99, 155, 507, 1911, 3501, 4307, 6755, 17127, 29815, 1577, 0};
static int joe_kuo_d6_initial_number07739[] = {1, 1, 5, 1, 15, 63, 45, 105, 125, 299, 689, 3935, 7229, 5007, 25003, 30453, 27819, 0};
static int joe_kuo_d6_initial_number07740[] = {1, 1, 7, 15, 19, 9, 67, 151, 45, 985, 2015, 833, 5435, 15383, 25881, 46735, 56717, 0};
static int joe_kuo_d6_initial_number07741[] = {1, 1, 5, 15, 27, 59, 119, 163, 293, 63, 1251, 1309, 485, 4937, 27207, 47481, 114357, 0};
static int joe_kuo_d6_initial_number07742[] = {1, 3, 5, 13, 23, 11, 111, 87, 329, 467, 1657, 3309, 3421, 12013, 23163, 14105, 88761, 0};
static int joe_kuo_d6_initial_number07743[] = {1, 1, 5, 11, 17, 63, 9, 61, 299, 585, 341, 3375, 3213, 15953, 11455, 5333, 66889, 0};
static int joe_kuo_d6_initial_number07744[] = {1, 3, 5, 5, 5, 35, 57, 235, 137, 543, 77, 2811, 857, 12793, 10791, 55711, 93353, 0};
static int joe_kuo_d6_initial_number07745[] = {1, 3, 7, 3, 23, 37, 19, 81, 321, 23, 1625, 2359, 3569, 4685, 7385, 32677, 18073, 0};
static int joe_kuo_d6_initial_number07746[] = {1, 3, 3, 7, 21, 35, 81, 229, 207, 547, 1397, 2709, 7159, 1265, 16823, 9921, 29159, 0};
static int joe_kuo_d6_initial_number07747[] = {1, 3, 7, 13, 27, 13, 107, 241, 395, 317, 307, 3927, 1153, 15915, 25179, 25173, 21503, 0};
static int joe_kuo_d6_initial_number07748[] = {1, 3, 1, 5, 1, 51, 25, 135, 381, 229, 1491, 2009, 3331, 16165, 8169, 65161, 9335, 0};
static int joe_kuo_d6_initial_number07749[] = {1, 1, 5, 5, 17, 15, 57, 221, 183, 225, 1649, 3701, 299, 12349, 4691, 64479, 82237, 0};
static int joe_kuo_d6_initial_number07750[] = {1, 3, 7, 7, 31, 39, 65, 183, 149, 67, 1697, 3933, 3709, 15501, 12583, 60117, 88691, 0};
static int joe_kuo_d6_initial_number07751[] = {1, 1, 5, 15, 17, 49, 117, 233, 161, 891, 789, 1347, 4887, 10713, 10613, 4389, 42619, 0};
static int joe_kuo_d6_initial_number07752[] = {1, 3, 5, 9, 13, 3, 83, 69, 381, 777, 743, 2843, 7233, 3285, 8931, 48667, 120777, 0};
static int joe_kuo_d6_initial_number07753[] = {1, 3, 1, 3, 11, 7, 55, 107, 165, 533, 1897, 3385, 1069, 12805, 30125, 42729, 123977, 0};
static int joe_kuo_d6_initial_number07754[] = {1, 1, 1, 5, 13, 17, 103, 237, 77, 537, 1843, 2817, 7467, 13647, 15259, 3525, 18313, 0};
static int joe_kuo_d6_initial_number07755[] = {1, 1, 7, 7, 13, 59, 29, 197, 309, 917, 1173, 2605, 4313, 12007, 25611, 60409, 104931, 0};
static int joe_kuo_d6_initial_number07756[] = {1, 3, 3, 3, 27, 57, 7, 207, 491, 467, 1973, 3075, 8043, 3977, 14517, 13179, 47111, 0};
static int joe_kuo_d6_initial_number07757[] = {1, 1, 7, 5, 31, 33, 125, 235, 79, 847, 1893, 3875, 7513, 1435, 24959, 46813, 82053, 0};
static int joe_kuo_d6_initial_number07758[] = {1, 3, 7, 5, 3, 53, 103, 1, 215, 71, 787, 223, 1399, 6793, 11281, 39201, 122119, 0};
static int joe_kuo_d6_initial_number07759[] = {1, 3, 3, 3, 3, 57, 7, 151, 319, 463, 685, 2917, 4037, 14929, 11971, 41827, 57449, 0};
static int joe_kuo_d6_initial_number07760[] = {1, 1, 7, 3, 5, 11, 15, 139, 379, 563, 135, 65, 5633, 7535, 1451, 18289, 62457, 0};
static int joe_kuo_d6_initial_number07761[] = {1, 1, 1, 15, 11, 23, 37, 57, 205, 107, 995, 151, 3279, 2015, 28927, 40731, 95551, 0};
static int joe_kuo_d6_initial_number07762[] = {1, 3, 5, 9, 15, 43, 95, 217, 203, 215, 203, 2207, 8189, 465, 2175, 29285, 25375, 0};
static int joe_kuo_d6_initial_number07763[] = {1, 3, 3, 5, 19, 59, 51, 123, 285, 721, 1335, 1777, 1645, 15811, 16539, 14637, 123323, 0};
static int joe_kuo_d6_initial_number07764[] = {1, 3, 5, 5, 11, 35, 23, 23, 259, 789, 567, 1921, 4743, 6635, 6965, 43025, 43175, 0};
static int joe_kuo_d6_initial_number07765[] = {1, 3, 7, 3, 7, 27, 77, 121, 285, 65, 647, 591, 2553, 7163, 12057, 43675, 24227, 0};
static int joe_kuo_d6_initial_number07766[] = {1, 1, 5, 9, 3, 25, 17, 85, 235, 715, 1913, 2391, 3719, 11029, 18359, 6323, 4703, 0};
static int joe_kuo_d6_initial_number07767[] = {1, 1, 1, 3, 25, 31, 37, 31, 89, 311, 1797, 3409, 6785, 9627, 29721, 58591, 111429, 0};
static int joe_kuo_d6_initial_number07768[] = {1, 3, 1, 5, 9, 37, 47, 45, 419, 115, 1009, 1359, 65, 1161, 15673, 16075, 63895, 0};
static int joe_kuo_d6_initial_number07769[] = {1, 1, 3, 5, 25, 47, 27, 87, 441, 547, 1801, 3589, 3773, 12215, 14509, 12669, 99983, 0};
static int joe_kuo_d6_initial_number07770[] = {1, 1, 1, 3, 19, 33, 51, 91, 447, 577, 491, 539, 3177, 7033, 21633, 51737, 47089, 0};
static int joe_kuo_d6_initial_number07771[] = {1, 1, 3, 15, 23, 53, 93, 113, 143, 973, 999, 2355, 1489, 3451, 29821, 23769, 74633, 0};
static int joe_kuo_d6_initial_number07772[] = {1, 3, 7, 11, 27, 1, 35, 109, 111, 51, 425, 3203, 2585, 11255, 20939, 281, 92133, 0};
static int joe_kuo_d6_initial_number07773[] = {1, 1, 1, 11, 13, 37, 13, 149, 421, 655, 79, 3093, 6429, 1145, 27663, 52861, 81431, 0};
static int joe_kuo_d6_initial_number07774[] = {1, 1, 5, 13, 19, 23, 105, 39, 97, 239, 469, 1047, 4727, 12009, 8055, 45557, 124219, 0};
static int joe_kuo_d6_initial_number07775[] = {1, 1, 1, 7, 7, 7, 5, 53, 269, 391, 1893, 2263, 2109, 11531, 12109, 31437, 20445, 0};
static int joe_kuo_d6_initial_number07776[] = {1, 1, 3, 11, 9, 35, 69, 209, 93, 455, 1117, 3297, 2597, 15035, 17943, 19955, 829, 0};
static int joe_kuo_d6_initial_number07777[] = {1, 1, 5, 7, 23, 23, 101, 71, 339, 553, 1653, 2997, 1191, 3121, 4575, 49979, 17353, 0};
static int joe_kuo_d6_initial_number07778[] = {1, 3, 3, 13, 13, 9, 51, 181, 33, 185, 111, 589, 3117, 10105, 28811, 31529, 79657, 0};
static int joe_kuo_d6_initial_number07779[] = {1, 1, 5, 3, 9, 57, 103, 65, 211, 473, 519, 3815, 4087, 2767, 10213, 37829, 9523, 0};
static int joe_kuo_d6_initial_number07780[] = {1, 1, 5, 7, 7, 31, 81, 161, 311, 617, 1689, 3133, 57, 14595, 22783, 18475, 85811, 0};
static int joe_kuo_d6_initial_number07781[] = {1, 3, 5, 5, 21, 51, 99, 249, 7, 525, 885, 3981, 2851, 529, 947, 29885, 122901, 0};
static int joe_kuo_d6_initial_number07782[] = {1, 3, 1, 5, 1, 23, 85, 91, 309, 747, 183, 1347, 2399, 15777, 16205, 15687, 117333, 0};
static int joe_kuo_d6_initial_number07783[] = {1, 3, 7, 3, 29, 21, 99, 137, 297, 229, 1063, 2747, 6415, 7791, 4775, 62863, 50849, 0};
static int joe_kuo_d6_initial_number07784[] = {1, 3, 1, 3, 11, 3, 53, 153, 103, 911, 1595, 1899, 1049, 11643, 21105, 61587, 92399, 0};
static int joe_kuo_d6_initial_number07785[] = {1, 1, 5, 15, 29, 55, 99, 101, 181, 453, 1917, 2081, 4687, 4335, 2817, 11861, 103167, 0};
static int joe_kuo_d6_initial_number07786[] = {1, 3, 7, 15, 11, 7, 9, 3, 477, 281, 1141, 453, 4993, 7843, 6169, 49785, 53827, 0};
static int joe_kuo_d6_initial_number07787[] = {1, 3, 7, 11, 25, 61, 77, 159, 83, 95, 1223, 85, 6309, 16145, 18729, 133, 14193, 0};
static int joe_kuo_d6_initial_number07788[] = {1, 3, 3, 1, 7, 27, 97, 183, 263, 59, 915, 3857, 3349, 8123, 11251, 55163, 125703, 0};
static int joe_kuo_d6_initial_number07789[] = {1, 3, 5, 5, 17, 33, 57, 55, 503, 811, 953, 349, 1949, 9127, 31015, 14475, 116769, 0};
static int joe_kuo_d6_initial_number07790[] = {1, 3, 1, 1, 3, 53, 59, 131, 421, 971, 89, 3047, 3513, 13599, 4569, 54525, 54779, 0};
static int joe_kuo_d6_initial_number07791[] = {1, 1, 3, 11, 9, 45, 95, 123, 197, 257, 1073, 1461, 5, 12701, 12559, 34989, 71631, 0};
static int joe_kuo_d6_initial_number07792[] = {1, 3, 3, 7, 1, 27, 55, 191, 447, 561, 1975, 2665, 1341, 8969, 18519, 47389, 70847, 0};
static int joe_kuo_d6_initial_number07793[] = {1, 1, 5, 5, 3, 31, 15, 165, 95, 423, 233, 2309, 7777, 3503, 20105, 3085, 92349, 0};
static int joe_kuo_d6_initial_number07794[] = {1, 3, 1, 13, 23, 61, 7, 55, 157, 1, 83, 515, 2169, 14397, 18149, 56855, 117265, 0};
static int joe_kuo_d6_initial_number07795[] = {1, 3, 3, 3, 3, 59, 69, 95, 127, 241, 65, 3145, 491, 13809, 17529, 20223, 96579, 0};
static int joe_kuo_d6_initial_number07796[] = {1, 1, 1, 5, 13, 43, 117, 163, 305, 955, 2007, 3337, 807, 16019, 5721, 5479, 90937, 0};
static int joe_kuo_d6_initial_number07797[] = {1, 3, 3, 1, 19, 9, 127, 5, 113, 491, 1873, 2127, 7949, 5207, 32531, 775, 131065, 0};
static int joe_kuo_d6_initial_number07798[] = {1, 1, 7, 3, 1, 3, 91, 187, 37, 873, 1039, 4075, 5645, 243, 15127, 45615, 3813, 0};
static int joe_kuo_d6_initial_number07799[] = {1, 1, 3, 11, 3, 37, 67, 59, 439, 763, 213, 1099, 1659, 12783, 30297, 60713, 43497, 0};
static int joe_kuo_d6_initial_number07800[] = {1, 3, 3, 13, 23, 49, 47, 191, 245, 985, 487, 3165, 7803, 2437, 19073, 30605, 119641, 0};
static int joe_kuo_d6_initial_number07801[] = {1, 3, 7, 7, 19, 43, 7, 253, 93, 99, 145, 219, 699, 2433, 3009, 565, 99671, 0};
static int joe_kuo_d6_initial_number07802[] = {1, 1, 3, 13, 7, 5, 9, 23, 219, 155, 925, 3427, 6631, 16353, 4115, 20831, 49525, 0};
static int joe_kuo_d6_initial_number07803[] = {1, 1, 7, 11, 15, 45, 41, 35, 301, 273, 241, 4031, 5441, 8281, 9341, 8499, 73841, 0};
static int joe_kuo_d6_initial_number07804[] = {1, 3, 7, 13, 9, 19, 79, 3, 163, 197, 509, 2301, 6971, 11525, 8805, 33805, 111595, 0};
static int joe_kuo_d6_initial_number07805[] = {1, 3, 3, 1, 15, 45, 69, 253, 155, 639, 1045, 749, 3619, 14871, 18063, 49763, 66687, 0};
static int joe_kuo_d6_initial_number07806[] = {1, 3, 3, 3, 29, 5, 41, 171, 265, 677, 1719, 2623, 1721, 12243, 18741, 39595, 92873, 0};
static int joe_kuo_d6_initial_number07807[] = {1, 3, 5, 7, 27, 23, 69, 61, 453, 399, 1857, 3901, 6565, 15595, 1083, 15065, 91249, 0};
static int joe_kuo_d6_initial_number07808[] = {1, 1, 5, 7, 1, 27, 9, 145, 95, 983, 685, 2079, 5117, 5037, 22695, 53135, 43569, 0};
static int joe_kuo_d6_initial_number07809[] = {1, 1, 3, 5, 5, 7, 69, 59, 331, 409, 179, 333, 1293, 3863, 9473, 12537, 55605, 0};
static int joe_kuo_d6_initial_number07810[] = {1, 3, 5, 1, 1, 19, 1, 49, 317, 769, 91, 2073, 1765, 1197, 15029, 52553, 57361, 0};
static int joe_kuo_d6_initial_number07811[] = {1, 1, 5, 1, 23, 13, 11, 69, 345, 877, 41, 817, 617, 14415, 8337, 53973, 50007, 0};
static int joe_kuo_d6_initial_number07812[] = {1, 1, 7, 3, 19, 27, 69, 103, 115, 893, 219, 2891, 2813, 9933, 26401, 63323, 30909, 0};
static int joe_kuo_d6_initial_number07813[] = {1, 1, 5, 5, 27, 15, 119, 3, 11, 783, 541, 2431, 2395, 3921, 15471, 34657, 100295, 0};
static int joe_kuo_d6_initial_number07814[] = {1, 1, 7, 11, 15, 25, 39, 191, 345, 1001, 1773, 715, 1627, 15957, 30085, 34097, 58747, 0};
static int joe_kuo_d6_initial_number07815[] = {1, 1, 1, 5, 17, 43, 65, 81, 487, 387, 1359, 145, 2231, 6693, 15857, 59539, 79615, 0};
static int joe_kuo_d6_initial_number07816[] = {1, 1, 3, 5, 15, 19, 17, 233, 247, 611, 587, 2587, 2321, 2835, 1477, 41991, 88143, 0};
static int joe_kuo_d6_initial_number07817[] = {1, 3, 3, 15, 27, 15, 53, 61, 359, 989, 283, 3569, 5551, 11849, 20995, 34065, 69407, 0};
static int joe_kuo_d6_initial_number07818[] = {1, 3, 3, 11, 13, 31, 41, 87, 379, 47, 1289, 3143, 4213, 8643, 17065, 10707, 62773, 0};
static int joe_kuo_d6_initial_number07819[] = {1, 3, 7, 1, 9, 61, 59, 121, 453, 663, 27, 793, 4501, 7713, 285, 13279, 11633, 0};
static int joe_kuo_d6_initial_number07820[] = {1, 1, 7, 5, 29, 51, 57, 15, 233, 743, 879, 2317, 3399, 15741, 605, 57529, 87427, 0};
static int joe_kuo_d6_initial_number07821[] = {1, 1, 1, 1, 19, 59, 51, 119, 273, 403, 1649, 3877, 3561, 10931, 21139, 2599, 77957, 0};
static int joe_kuo_d6_initial_number07822[] = {1, 3, 1, 3, 5, 1, 79, 131, 251, 585, 359, 2073, 7041, 13611, 22937, 24645, 72827, 0};
static int joe_kuo_d6_initial_number07823[] = {1, 3, 7, 9, 19, 39, 93, 137, 359, 565, 1123, 1301, 4111, 13683, 1361, 25147, 38315, 0};
static int joe_kuo_d6_initial_number07824[] = {1, 1, 5, 13, 27, 31, 11, 243, 111, 243, 1615, 1649, 2999, 15873, 19161, 57485, 35819, 0};
static int joe_kuo_d6_initial_number07825[] = {1, 3, 3, 5, 25, 57, 61, 207, 219, 969, 303, 1165, 6753, 13473, 10789, 52883, 45205, 0};
static int joe_kuo_d6_initial_number07826[] = {1, 1, 7, 11, 9, 53, 55, 175, 399, 981, 255, 2499, 373, 13131, 26803, 48017, 25599, 0};
static int joe_kuo_d6_initial_number07827[] = {1, 1, 3, 3, 11, 23, 73, 25, 83, 39, 1813, 747, 3287, 795, 11917, 55509, 105057, 0};
static int joe_kuo_d6_initial_number07828[] = {1, 3, 7, 15, 29, 59, 47, 171, 219, 875, 71, 123, 8131, 15595, 12471, 62439, 131, 0};
static int joe_kuo_d6_initial_number07829[] = {1, 3, 5, 13, 9, 27, 119, 233, 323, 943, 375, 3647, 185, 1639, 431, 27225, 130175, 0};
static int joe_kuo_d6_initial_number07830[] = {1, 3, 7, 3, 7, 17, 31, 155, 89, 835, 1015, 2019, 3973, 7087, 16899, 29591, 40797, 0};
static int joe_kuo_d6_initial_number07831[] = {1, 3, 3, 1, 3, 11, 83, 231, 209, 537, 1227, 1519, 1059, 14027, 18591, 34031, 125755, 0};
static int joe_kuo_d6_initial_number07832[] = {1, 3, 3, 1, 7, 39, 19, 99, 169, 961, 385, 1621, 7373, 7459, 8979, 23643, 17101, 0};
static int joe_kuo_d6_initial_number07833[] = {1, 1, 3, 11, 11, 23, 61, 37, 359, 981, 209, 2555, 2673, 6501, 12731, 10735, 97321, 0};
static int joe_kuo_d6_initial_number07834[] = {1, 1, 3, 13, 15, 61, 115, 119, 99, 755, 1933, 345, 3133, 12071, 26657, 7133, 18553, 0};
static int joe_kuo_d6_initial_number07835[] = {1, 3, 1, 5, 17, 7, 29, 119, 445, 911, 89, 19, 6137, 8037, 19527, 22467, 29253, 0};
static int joe_kuo_d6_initial_number07836[] = {1, 1, 3, 11, 31, 21, 119, 21, 249, 371, 343, 4037, 7539, 14473, 23829, 46415, 60911, 0};
static int joe_kuo_d6_initial_number07837[] = {1, 1, 7, 9, 21, 53, 29, 149, 467, 893, 479, 359, 1007, 13955, 9667, 10245, 74761, 0};
static int joe_kuo_d6_initial_number07838[] = {1, 3, 1, 7, 7, 45, 7, 77, 289, 271, 1329, 261, 5675, 8275, 7443, 57945, 117825, 0};
static int joe_kuo_d6_initial_number07839[] = {1, 1, 1, 3, 21, 57, 117, 77, 287, 119, 1073, 915, 2521, 455, 7433, 56953, 84433, 0};
static int joe_kuo_d6_initial_number07840[] = {1, 1, 1, 9, 27, 47, 1, 189, 303, 375, 215, 3117, 4541, 12877, 15523, 32317, 104213, 0};
static int joe_kuo_d6_initial_number07841[] = {1, 1, 3, 1, 13, 39, 37, 249, 371, 159, 1073, 1351, 4703, 2715, 17463, 3945, 51523, 0};
static int joe_kuo_d6_initial_number07842[] = {1, 3, 5, 5, 29, 15, 79, 25, 61, 995, 1081, 3377, 345, 13773, 4205, 20589, 83591, 0};
static int joe_kuo_d6_initial_number07843[] = {1, 1, 3, 1, 9, 1, 41, 39, 389, 509, 561, 3273, 1911, 15271, 22655, 34713, 2045, 0};
static int joe_kuo_d6_initial_number07844[] = {1, 3, 1, 15, 17, 1, 55, 55, 119, 707, 843, 2657, 3687, 11557, 18331, 4935, 110639, 0};
static int joe_kuo_d6_initial_number07845[] = {1, 3, 5, 1, 23, 35, 119, 215, 471, 643, 1581, 1965, 2627, 2991, 3361, 6737, 111657, 0};
static int joe_kuo_d6_initial_number07846[] = {1, 3, 5, 7, 9, 19, 33, 197, 33, 993, 1795, 595, 7113, 14721, 12647, 41035, 13669, 0};
static int joe_kuo_d6_initial_number07847[] = {1, 1, 7, 15, 31, 39, 51, 157, 373, 473, 665, 3541, 6695, 11741, 5617, 17189, 129851, 0};
static int joe_kuo_d6_initial_number07848[] = {1, 3, 3, 7, 15, 37, 33, 175, 391, 159, 717, 593, 113, 9331, 10685, 59003, 26975, 0};
static int joe_kuo_d6_initial_number07849[] = {1, 1, 3, 5, 13, 41, 11, 109, 9, 899, 1503, 901, 6237, 7789, 9963, 14923, 63665, 0};
static int joe_kuo_d6_initial_number07850[] = {1, 3, 7, 7, 25, 61, 3, 231, 235, 29, 1049, 1997, 5371, 9047, 29595, 49239, 108649, 0};
static int joe_kuo_d6_initial_number07851[] = {1, 1, 3, 5, 27, 1, 53, 209, 315, 747, 1803, 11, 1815, 6539, 8839, 18385, 88681, 0};
static int joe_kuo_d6_initial_number07852[] = {1, 1, 5, 13, 25, 55, 117, 197, 13, 689, 751, 1203, 2277, 1763, 23453, 54459, 118023, 0};
static int joe_kuo_d6_initial_number07853[] = {1, 3, 3, 11, 21, 1, 51, 101, 429, 723, 273, 3021, 1491, 9923, 6629, 63741, 98813, 0};
static int joe_kuo_d6_initial_number07854[] = {1, 1, 1, 15, 17, 25, 111, 251, 43, 403, 465, 17, 787, 6045, 32185, 22921, 115851, 0};
static int joe_kuo_d6_initial_number07855[] = {1, 1, 5, 11, 11, 13, 13, 93, 489, 941, 1391, 383, 7735, 1921, 16199, 53099, 25181, 0};
static int joe_kuo_d6_initial_number07856[] = {1, 3, 3, 7, 15, 1, 3, 159, 507, 867, 1589, 2111, 3839, 8989, 12589, 37657, 97055, 0};
static int joe_kuo_d6_initial_number07857[] = {1, 3, 3, 13, 25, 23, 7, 95, 489, 1001, 105, 2737, 5013, 14465, 25383, 57551, 77425, 0};
static int joe_kuo_d6_initial_number07858[] = {1, 3, 5, 3, 3, 7, 81, 15, 255, 297, 1183, 655, 741, 3081, 2141, 34493, 103707, 0};
static int joe_kuo_d6_initial_number07859[] = {1, 1, 7, 9, 27, 57, 49, 121, 21, 239, 829, 2001, 613, 9569, 4419, 20007, 59109, 0};
static int joe_kuo_d6_initial_number07860[] = {1, 3, 7, 1, 3, 21, 109, 255, 45, 333, 915, 1245, 5893, 765, 28289, 53927, 15335, 0};
static int joe_kuo_d6_initial_number07861[] = {1, 3, 3, 7, 5, 35, 33, 79, 111, 509, 347, 3915, 2017, 6461, 11847, 17807, 48601, 0};
static int joe_kuo_d6_initial_number07862[] = {1, 3, 5, 1, 13, 63, 87, 65, 507, 277, 339, 3637, 6289, 719, 9383, 38887, 55061, 0};
static int joe_kuo_d6_initial_number07863[] = {1, 1, 5, 15, 17, 5, 59, 107, 355, 1021, 1849, 1807, 7679, 305, 31533, 1221, 98165, 0};
static int joe_kuo_d6_initial_number07864[] = {1, 1, 1, 13, 19, 7, 37, 63, 267, 399, 1451, 2149, 1003, 13635, 18693, 215, 15887, 0};
static int joe_kuo_d6_initial_number07865[] = {1, 1, 3, 7, 11, 63, 81, 251, 253, 963, 635, 1697, 6393, 9775, 24189, 9099, 106277, 0};
static int joe_kuo_d6_initial_number07866[] = {1, 3, 3, 13, 17, 47, 63, 47, 279, 879, 271, 1655, 1897, 10743, 2607, 16695, 32779, 0};
static int joe_kuo_d6_initial_number07867[] = {1, 3, 5, 15, 3, 1, 121, 181, 303, 973, 19, 3327, 3827, 2197, 31857, 22835, 122611, 0};
static int joe_kuo_d6_initial_number07868[] = {1, 1, 5, 13, 25, 41, 105, 197, 195, 85, 1515, 2735, 7539, 7557, 24297, 38721, 46895, 0};
static int joe_kuo_d6_initial_number07869[] = {1, 1, 1, 1, 15, 63, 33, 7, 43, 971, 781, 1461, 4483, 2113, 32459, 37653, 68017, 0};
static int joe_kuo_d6_initial_number07870[] = {1, 3, 3, 9, 7, 1, 65, 183, 171, 695, 191, 3675, 6749, 6823, 3577, 45031, 81597, 0};
static int joe_kuo_d6_initial_number07871[] = {1, 3, 3, 3, 9, 61, 13, 159, 295, 329, 943, 3293, 79, 14497, 21461, 4667, 96435, 0};
static int joe_kuo_d6_initial_number07872[] = {1, 1, 7, 9, 29, 37, 117, 215, 295, 591, 1139, 3093, 7469, 7995, 13581, 48075, 5943, 0};
static int joe_kuo_d6_initial_number07873[] = {1, 3, 1, 9, 11, 11, 117, 255, 419, 551, 1445, 1987, 1169, 14227, 31095, 36041, 63739, 0};
static int joe_kuo_d6_initial_number07874[] = {1, 1, 7, 15, 17, 25, 81, 27, 87, 463, 1871, 551, 7449, 12231, 28645, 32663, 43037, 0};
static int joe_kuo_d6_initial_number07875[] = {1, 3, 5, 11, 3, 49, 109, 123, 397, 113, 1269, 2433, 4463, 1257, 2127, 6677, 96009, 0};
static int joe_kuo_d6_initial_number07876[] = {1, 1, 1, 11, 27, 19, 83, 123, 297, 867, 941, 3929, 3483, 4641, 32505, 48999, 66169, 0};
static int joe_kuo_d6_initial_number07877[] = {1, 1, 5, 11, 5, 21, 11, 255, 369, 859, 657, 587, 5245, 12973, 22403, 47935, 121375, 0};
static int joe_kuo_d6_initial_number07878[] = {1, 3, 1, 13, 17, 43, 83, 51, 339, 967, 499, 1485, 5203, 10053, 31707, 31443, 75033, 0};
static int joe_kuo_d6_initial_number07879[] = {1, 1, 5, 13, 11, 5, 121, 121, 73, 101, 1751, 3805, 1333, 14043, 26957, 27557, 110899, 0};
static int joe_kuo_d6_initial_number07880[] = {1, 3, 7, 11, 9, 7, 125, 237, 437, 177, 841, 175, 5509, 9157, 3129, 54119, 109315, 0};
static int joe_kuo_d6_initial_number07881[] = {1, 3, 7, 15, 1, 59, 87, 121, 43, 475, 1589, 1267, 1501, 1585, 31705, 33959, 27247, 0};
static int joe_kuo_d6_initial_number07882[] = {1, 1, 5, 3, 27, 63, 117, 205, 169, 701, 1081, 2835, 8049, 11875, 4143, 17663, 90043, 0};
static int joe_kuo_d6_initial_number07883[] = {1, 3, 1, 9, 23, 27, 31, 141, 411, 145, 1177, 3681, 3403, 6943, 10729, 47219, 102713, 0};
static int joe_kuo_d6_initial_number07884[] = {1, 1, 7, 11, 5, 49, 33, 27, 121, 865, 471, 1871, 6945, 10051, 4493, 7121, 65551, 0};
static int joe_kuo_d6_initial_number07885[] = {1, 1, 5, 1, 17, 27, 53, 13, 31, 403, 1319, 1381, 1371, 11693, 18805, 54683, 30137, 0};
static int joe_kuo_d6_initial_number07886[] = {1, 1, 7, 11, 9, 21, 71, 155, 79, 145, 943, 3891, 641, 3163, 28493, 14729, 83391, 0};
static int joe_kuo_d6_initial_number07887[] = {1, 3, 3, 13, 3, 53, 21, 189, 245, 803, 1625, 4005, 1163, 16033, 5549, 14301, 115859, 0};
static int joe_kuo_d6_initial_number07888[] = {1, 3, 1, 5, 17, 59, 61, 31, 293, 677, 1753, 1803, 1671, 14619, 22361, 61453, 78203, 0};
static int joe_kuo_d6_initial_number07889[] = {1, 3, 3, 1, 5, 51, 99, 231, 175, 97, 1335, 689, 1913, 6157, 22757, 52395, 118347, 0};
static int joe_kuo_d6_initial_number07890[] = {1, 3, 3, 7, 25, 11, 113, 19, 289, 507, 1143, 3437, 7965, 12551, 27603, 8423, 46713, 0};
static int joe_kuo_d6_initial_number07891[] = {1, 1, 3, 9, 13, 1, 73, 9, 425, 407, 363, 2915, 4269, 2903, 9251, 17733, 80321, 0};
static int joe_kuo_d6_initial_number07892[] = {1, 1, 3, 11, 31, 47, 37, 211, 433, 237, 1069, 1891, 6175, 9305, 30385, 2497, 94775, 0};
static int joe_kuo_d6_initial_number07893[] = {1, 1, 3, 1, 23, 5, 113, 103, 427, 587, 1863, 1863, 679, 2575, 13059, 16163, 42289, 0};
static int joe_kuo_d6_initial_number07894[] = {1, 1, 5, 3, 7, 17, 45, 33, 209, 609, 1897, 95, 5123, 2239, 5483, 60715, 126497, 0};
static int joe_kuo_d6_initial_number07895[] = {1, 1, 5, 11, 1, 55, 67, 223, 41, 967, 337, 2511, 7879, 1157, 17635, 64081, 421, 0};
static int joe_kuo_d6_initial_number07896[] = {1, 3, 3, 9, 27, 33, 87, 97, 231, 895, 1337, 829, 47, 8481, 14059, 57209, 109159, 0};
static int joe_kuo_d6_initial_number07897[] = {1, 3, 7, 1, 25, 5, 41, 161, 393, 523, 1623, 3761, 1933, 8319, 17309, 46717, 97299, 0};
static int joe_kuo_d6_initial_number07898[] = {1, 1, 1, 11, 5, 55, 19, 191, 41, 791, 1611, 59, 2633, 13873, 25859, 42879, 54807, 0};
static int joe_kuo_d6_initial_number07899[] = {1, 3, 1, 11, 11, 33, 5, 13, 199, 411, 895, 759, 2735, 16225, 31469, 24081, 31857, 0};
static int joe_kuo_d6_initial_number07900[] = {1, 1, 7, 13, 27, 57, 21, 191, 389, 977, 1013, 3493, 6401, 15957, 23181, 52461, 41853, 0};
static int joe_kuo_d6_initial_number07901[] = {1, 3, 7, 5, 23, 19, 117, 117, 427, 923, 1347, 3099, 247, 8879, 5309, 53277, 100625, 0};
static int joe_kuo_d6_initial_number07902[] = {1, 1, 5, 13, 11, 23, 69, 37, 119, 329, 1935, 2851, 5127, 6907, 24651, 11135, 118287, 0};
static int joe_kuo_d6_initial_number07903[] = {1, 1, 3, 15, 23, 1, 69, 107, 253, 771, 1697, 4035, 3219, 15011, 6995, 19255, 39909, 0};
static int joe_kuo_d6_initial_number07904[] = {1, 3, 1, 1, 5, 21, 35, 173, 407, 603, 27, 3589, 2879, 2755, 17679, 6145, 95989, 0};
static int joe_kuo_d6_initial_number07905[] = {1, 1, 5, 13, 31, 23, 61, 139, 341, 593, 1673, 4031, 4809, 1107, 22657, 29073, 53401, 0};
static int joe_kuo_d6_initial_number07906[] = {1, 3, 1, 15, 13, 37, 39, 61, 443, 417, 1125, 1529, 1943, 7317, 2985, 50285, 107069, 0};
static int joe_kuo_d6_initial_number07907[] = {1, 1, 3, 9, 5, 51, 87, 91, 31, 491, 1455, 1685, 2579, 6023, 10989, 64635, 130147, 0};
static int joe_kuo_d6_initial_number07908[] = {1, 3, 5, 5, 31, 23, 15, 163, 357, 161, 1597, 1571, 5039, 13213, 32221, 4405, 88079, 0};
static int joe_kuo_d6_initial_number07909[] = {1, 1, 1, 15, 13, 43, 7, 109, 243, 389, 683, 2671, 8003, 4187, 6507, 11171, 116727, 0};
static int joe_kuo_d6_initial_number07910[] = {1, 3, 7, 1, 17, 31, 53, 5, 227, 755, 1755, 2939, 1789, 8951, 16777, 30203, 79005, 0};
static int joe_kuo_d6_initial_number07911[] = {1, 3, 3, 9, 27, 5, 111, 241, 89, 333, 371, 1035, 5719, 2433, 29343, 50829, 25131, 0};
static int joe_kuo_d6_initial_number07912[] = {1, 1, 3, 13, 7, 37, 125, 69, 79, 397, 1595, 123, 255, 2257, 10881, 27085, 99411, 0};
static int joe_kuo_d6_initial_number07913[] = {1, 1, 3, 15, 1, 35, 61, 73, 507, 775, 1631, 2005, 4277, 8421, 5669, 39221, 19053, 0};
static int joe_kuo_d6_initial_number07914[] = {1, 1, 3, 7, 15, 17, 65, 157, 19, 997, 861, 1249, 4059, 7975, 955, 5833, 97733, 0};
static int joe_kuo_d6_initial_number07915[] = {1, 1, 5, 5, 21, 43, 1, 181, 1, 17, 1337, 3333, 3761, 12283, 20941, 231, 30457, 0};
static int joe_kuo_d6_initial_number07916[] = {1, 3, 3, 7, 7, 23, 105, 101, 101, 757, 1407, 565, 2187, 1529, 29385, 22847, 57675, 0};
static int joe_kuo_d6_initial_number07917[] = {1, 3, 3, 1, 11, 3, 65, 93, 201, 773, 1037, 1325, 673, 6625, 2909, 63435, 114311, 0};
static int joe_kuo_d6_initial_number07918[] = {1, 3, 5, 1, 21, 43, 87, 37, 491, 323, 1093, 2493, 4755, 7225, 12037, 9483, 70351, 0};
static int joe_kuo_d6_initial_number07919[] = {1, 1, 7, 9, 23, 39, 59, 117, 103, 645, 1975, 1177, 55, 325, 23781, 64365, 94915, 0};
static int joe_kuo_d6_initial_number07920[] = {1, 3, 7, 15, 21, 29, 109, 35, 307, 847, 777, 3457, 7899, 17, 24065, 10517, 35651, 0};
static int joe_kuo_d6_initial_number07921[] = {1, 1, 7, 9, 25, 35, 49, 131, 377, 429, 1773, 2107, 6305, 15209, 9567, 17685, 5599, 0};
static int joe_kuo_d6_initial_number07922[] = {1, 1, 3, 11, 13, 27, 47, 125, 483, 229, 921, 2733, 2217, 2615, 24135, 28759, 109411, 0};
static int joe_kuo_d6_initial_number07923[] = {1, 3, 1, 7, 19, 45, 23, 195, 445, 955, 853, 2877, 6889, 9507, 2009, 18747, 50545, 0};
static int joe_kuo_d6_initial_number07924[] = {1, 1, 1, 5, 15, 35, 75, 177, 145, 683, 309, 893, 4999, 827, 26563, 30819, 111115, 0};
static int joe_kuo_d6_initial_number07925[] = {1, 3, 3, 11, 5, 45, 49, 39, 93, 653, 1053, 2553, 863, 12185, 30261, 16459, 121061, 0};
static int joe_kuo_d6_initial_number07926[] = {1, 3, 7, 5, 11, 29, 57, 43, 409, 71, 67, 3537, 263, 13237, 8825, 58411, 44629, 0};
static int joe_kuo_d6_initial_number07927[] = {1, 1, 5, 13, 1, 37, 23, 171, 13, 309, 239, 2023, 6233, 8751, 11371, 5825, 77355, 0};
static int joe_kuo_d6_initial_number07928[] = {1, 3, 1, 13, 5, 1, 47, 217, 369, 609, 453, 879, 4337, 4441, 8785, 51963, 53819, 0};
static int joe_kuo_d6_initial_number07929[] = {1, 3, 5, 5, 23, 1, 67, 147, 27, 121, 1369, 569, 1519, 11585, 18193, 30889, 78055, 0};
static int joe_kuo_d6_initial_number07930[] = {1, 1, 1, 13, 11, 53, 33, 37, 419, 111, 1649, 2495, 6105, 12385, 30865, 3683, 63813, 0};
static int joe_kuo_d6_initial_number07931[] = {1, 3, 3, 5, 17, 35, 107, 235, 471, 735, 1093, 1007, 567, 173, 9623, 39533, 56455, 0};
static int joe_kuo_d6_initial_number07932[] = {1, 1, 7, 15, 27, 13, 123, 211, 407, 857, 801, 3951, 8153, 4427, 15333, 13217, 92675, 0};
static int joe_kuo_d6_initial_number07933[] = {1, 1, 1, 7, 11, 61, 99, 131, 121, 119, 1483, 1485, 3521, 13163, 24899, 56849, 111943, 0};
static int joe_kuo_d6_initial_number07934[] = {1, 3, 3, 1, 19, 1, 29, 139, 127, 557, 1913, 1487, 1381, 185, 11195, 52499, 45059, 0};
static int joe_kuo_d6_initial_number07935[] = {1, 3, 7, 11, 5, 29, 95, 111, 235, 55, 1101, 2631, 1219, 9867, 22209, 3095, 56793, 0};
static int joe_kuo_d6_initial_number07936[] = {1, 3, 7, 1, 31, 61, 37, 125, 241, 985, 1079, 1439, 433, 2779, 8463, 59985, 39667, 0};
static int joe_kuo_d6_initial_number07937[] = {1, 3, 7, 15, 5, 7, 71, 7, 435, 727, 1611, 135, 1421, 8329, 29995, 64243, 58285, 0};
static int joe_kuo_d6_initial_number07938[] = {1, 3, 3, 15, 27, 11, 121, 27, 281, 499, 267, 2651, 7575, 9499, 5051, 49475, 79573, 0};
static int joe_kuo_d6_initial_number07939[] = {1, 3, 3, 15, 29, 47, 11, 183, 235, 537, 79, 2467, 3751, 831, 6725, 52173, 108645, 0};
static int joe_kuo_d6_initial_number07940[] = {1, 3, 5, 13, 23, 31, 23, 19, 477, 511, 727, 183, 5955, 7613, 31979, 8441, 39835, 0};
static int joe_kuo_d6_initial_number07941[] = {1, 1, 5, 7, 17, 31, 53, 133, 387, 787, 1573, 89, 1975, 1825, 19963, 27203, 124923, 0};
static int joe_kuo_d6_initial_number07942[] = {1, 1, 1, 9, 3, 15, 125, 135, 89, 37, 517, 3931, 2013, 2143, 25413, 18421, 6097, 0};
static int joe_kuo_d6_initial_number07943[] = {1, 1, 3, 11, 23, 29, 89, 45, 53, 135, 223, 3523, 7921, 3271, 1819, 40931, 65471, 0};
static int joe_kuo_d6_initial_number07944[] = {1, 1, 1, 13, 17, 3, 121, 25, 509, 61, 1009, 2009, 7813, 8499, 5807, 63171, 75991, 0};
static int joe_kuo_d6_initial_number07945[] = {1, 3, 5, 13, 15, 35, 37, 45, 161, 683, 1665, 59, 6297, 9595, 10193, 46745, 105411, 0};
static int joe_kuo_d6_initial_number07946[] = {1, 3, 1, 7, 21, 19, 85, 107, 3, 845, 673, 1271, 7581, 15971, 27085, 35375, 29027, 0};
static int joe_kuo_d6_initial_number07947[] = {1, 3, 3, 9, 5, 17, 79, 137, 123, 809, 583, 3507, 7559, 2857, 13911, 57083, 8595, 0};
static int joe_kuo_d6_initial_number07948[] = {1, 1, 7, 5, 31, 29, 77, 33, 439, 787, 1223, 2471, 5851, 15891, 27925, 51661, 82645, 0};
static int joe_kuo_d6_initial_number07949[] = {1, 1, 7, 15, 19, 35, 35, 37, 197, 245, 799, 3971, 277, 11289, 20111, 13857, 104571, 0};
static int joe_kuo_d6_initial_number07950[] = {1, 3, 5, 15, 19, 3, 65, 17, 201, 1007, 1665, 107, 2409, 1469, 23265, 24547, 8189, 0};
static int joe_kuo_d6_initial_number07951[] = {1, 3, 1, 13, 29, 45, 109, 243, 43, 383, 631, 265, 6671, 15333, 21931, 30675, 103077, 0};
static int joe_kuo_d6_initial_number07952[] = {1, 1, 5, 1, 25, 25, 77, 189, 109, 777, 1485, 2265, 1403, 2627, 13843, 27263, 14263, 0};
static int joe_kuo_d6_initial_number07953[] = {1, 3, 5, 1, 13, 49, 73, 107, 225, 243, 1253, 3503, 735, 2605, 27165, 45467, 93001, 0};
static int joe_kuo_d6_initial_number07954[] = {1, 1, 5, 9, 15, 17, 1, 33, 69, 321, 1375, 3635, 8131, 6579, 1225, 38699, 17447, 0};
static int joe_kuo_d6_initial_number07955[] = {1, 3, 5, 3, 25, 49, 15, 149, 483, 37, 1929, 1219, 5841, 11975, 805, 31339, 130971, 0};
static int joe_kuo_d6_initial_number07956[] = {1, 3, 3, 3, 15, 29, 3, 143, 291, 593, 1769, 3603, 1693, 151, 27701, 9015, 25847, 0};
static int joe_kuo_d6_initial_number07957[] = {1, 3, 1, 11, 5, 35, 55, 127, 137, 71, 967, 2501, 1023, 2061, 31387, 44011, 130121, 0};
static int joe_kuo_d6_initial_number07958[] = {1, 1, 7, 1, 29, 13, 93, 41, 125, 263, 521, 2633, 4361, 12153, 30647, 55883, 65185, 0};
static int joe_kuo_d6_initial_number07959[] = {1, 3, 7, 9, 23, 19, 61, 197, 139, 463, 1867, 3627, 5185, 8251, 26977, 48027, 66301, 0};
static int joe_kuo_d6_initial_number07960[] = {1, 3, 3, 7, 27, 53, 25, 137, 175, 155, 1843, 2253, 4797, 4989, 32613, 55779, 91625, 0};
static int joe_kuo_d6_initial_number07961[] = {1, 3, 3, 11, 1, 5, 21, 233, 295, 675, 47, 2995, 8075, 8201, 3845, 23925, 82559, 0};
static int joe_kuo_d6_initial_number07962[] = {1, 1, 3, 7, 31, 53, 93, 21, 307, 709, 9, 3061, 3935, 11009, 13411, 3657, 30251, 0};
static int joe_kuo_d6_initial_number07963[] = {1, 3, 7, 13, 13, 25, 51, 205, 391, 897, 275, 333, 6831, 9383, 16101, 14301, 99101, 0};
static int joe_kuo_d6_initial_number07964[] = {1, 1, 5, 15, 17, 47, 119, 7, 189, 765, 753, 2909, 3373, 2379, 20331, 61535, 51345, 0};
static int joe_kuo_d6_initial_number07965[] = {1, 1, 3, 1, 27, 43, 9, 185, 9, 197, 1179, 67, 7689, 9679, 29683, 29905, 29393, 0};
static int joe_kuo_d6_initial_number07966[] = {1, 1, 5, 5, 31, 55, 69, 9, 477, 91, 1705, 1877, 5463, 15401, 13449, 27541, 125521, 0};
static int joe_kuo_d6_initial_number07967[] = {1, 1, 7, 15, 15, 33, 11, 233, 69, 771, 845, 2715, 5293, 10351, 19557, 15319, 36857, 0};
static int joe_kuo_d6_initial_number07968[] = {1, 3, 7, 7, 15, 9, 123, 47, 165, 739, 361, 1675, 2743, 8021, 10241, 48275, 51935, 0};
static int joe_kuo_d6_initial_number07969[] = {1, 1, 5, 1, 9, 25, 99, 83, 487, 627, 343, 3233, 6697, 13197, 19771, 38337, 89139, 0};
static int joe_kuo_d6_initial_number07970[] = {1, 3, 7, 13, 1, 31, 15, 63, 463, 621, 935, 1093, 6043, 14051, 13665, 43413, 104893, 0};
static int joe_kuo_d6_initial_number07971[] = {1, 1, 1, 3, 27, 1, 47, 151, 127, 357, 689, 3263, 141, 4459, 9847, 205, 88493, 0};
static int joe_kuo_d6_initial_number07972[] = {1, 3, 7, 15, 29, 13, 41, 113, 495, 421, 195, 197, 6857, 10555, 22861, 30229, 31707, 0};
static int joe_kuo_d6_initial_number07973[] = {1, 3, 5, 11, 11, 1, 89, 227, 425, 623, 1605, 1901, 7933, 7211, 16301, 3403, 59651, 0};
static int joe_kuo_d6_initial_number07974[] = {1, 1, 3, 3, 27, 41, 37, 89, 395, 903, 1641, 2739, 5599, 11371, 8683, 61125, 105231, 0};
static int joe_kuo_d6_initial_number07975[] = {1, 3, 7, 9, 1, 17, 51, 233, 507, 783, 459, 1187, 7281, 15809, 27637, 6067, 125877, 0};
static int joe_kuo_d6_initial_number07976[] = {1, 3, 1, 3, 13, 57, 5, 199, 261, 357, 1255, 1849, 8013, 10313, 9375, 1271, 64117, 0};
static int joe_kuo_d6_initial_number07977[] = {1, 3, 1, 11, 9, 59, 55, 95, 401, 423, 1657, 513, 3565, 12957, 19243, 53027, 11323, 0};
static int joe_kuo_d6_initial_number07978[] = {1, 3, 7, 13, 27, 35, 121, 215, 397, 991, 191, 3443, 3829, 6107, 5381, 48497, 107997, 0};
static int joe_kuo_d6_initial_number07979[] = {1, 1, 5, 5, 19, 15, 21, 53, 165, 835, 1599, 3245, 5609, 5991, 18141, 28075, 102809, 0};
static int joe_kuo_d6_initial_number07980[] = {1, 3, 5, 9, 25, 21, 71, 15, 453, 475, 915, 3097, 5869, 699, 13883, 34919, 127211, 0};
static int joe_kuo_d6_initial_number07981[] = {1, 1, 3, 7, 21, 53, 27, 207, 373, 703, 593, 17, 6991, 15013, 10125, 34801, 129245, 0};
static int joe_kuo_d6_initial_number07982[] = {1, 3, 3, 13, 17, 9, 89, 95, 291, 681, 1415, 2323, 2885, 11381, 7703, 3691, 51505, 0};
static int joe_kuo_d6_initial_number07983[] = {1, 1, 1, 11, 15, 63, 55, 153, 373, 665, 983, 3987, 5997, 6873, 27031, 65449, 22021, 0};
static int joe_kuo_d6_initial_number07984[] = {1, 1, 5, 5, 1, 55, 119, 61, 159, 889, 225, 709, 1879, 2521, 69, 7815, 18733, 0};
static int joe_kuo_d6_initial_number07985[] = {1, 3, 5, 11, 23, 53, 23, 61, 71, 993, 633, 1829, 3465, 12465, 30205, 40723, 74499, 0};
static int joe_kuo_d6_initial_number07986[] = {1, 3, 3, 1, 17, 37, 19, 43, 55, 133, 1171, 3101, 3963, 5177, 24791, 7255, 10263, 0};
static int joe_kuo_d6_initial_number07987[] = {1, 3, 7, 1, 21, 13, 21, 87, 237, 629, 1167, 3699, 597, 6251, 11545, 34429, 104393, 0};
static int joe_kuo_d6_initial_number07988[] = {1, 1, 7, 1, 11, 53, 105, 111, 463, 869, 549, 2423, 17, 917, 879, 49367, 72235, 0};
static int joe_kuo_d6_initial_number07989[] = {1, 1, 5, 15, 17, 51, 69, 55, 309, 867, 257, 573, 4821, 5245, 28033, 61801, 18253, 0};
static int joe_kuo_d6_initial_number07990[] = {1, 1, 5, 3, 1, 23, 103, 241, 13, 267, 21, 1751, 6637, 12537, 26741, 40651, 94493, 0};
static int joe_kuo_d6_initial_number07991[] = {1, 3, 3, 13, 25, 35, 21, 83, 337, 363, 1111, 1865, 7889, 985, 465, 40287, 64469, 0};
static int joe_kuo_d6_initial_number07992[] = {1, 1, 7, 5, 27, 1, 99, 95, 209, 211, 1445, 1577, 6097, 13813, 22463, 64395, 106383, 0};
static int joe_kuo_d6_initial_number07993[] = {1, 3, 1, 15, 1, 45, 77, 247, 273, 1023, 1377, 1989, 5787, 15267, 24363, 42717, 125617, 0};
static int joe_kuo_d6_initial_number07994[] = {1, 1, 1, 3, 9, 49, 79, 171, 427, 439, 1725, 3179, 6263, 12437, 31353, 22077, 94455, 0};
static int joe_kuo_d6_initial_number07995[] = {1, 3, 5, 11, 11, 45, 57, 97, 409, 935, 967, 2509, 3431, 5707, 19473, 15853, 129059, 0};
static int joe_kuo_d6_initial_number07996[] = {1, 1, 7, 5, 7, 21, 105, 29, 359, 145, 1691, 131, 6721, 10971, 16173, 38193, 37091, 0};
static int joe_kuo_d6_initial_number07997[] = {1, 1, 1, 15, 15, 35, 5, 185, 455, 507, 681, 3355, 2091, 3437, 27231, 28527, 5383, 0};
static int joe_kuo_d6_initial_number07998[] = {1, 3, 5, 3, 7, 29, 33, 127, 57, 495, 1069, 3635, 7461, 9861, 18757, 39039, 92421, 0};
static int joe_kuo_d6_initial_number07999[] = {1, 3, 5, 5, 11, 31, 51, 59, 413, 417, 1577, 2837, 5229, 4501, 18645, 37613, 31325, 0};
static int joe_kuo_d6_initial_number08000[] = {1, 1, 5, 13, 15, 61, 17, 247, 413, 817, 907, 2249, 3901, 11275, 7469, 33403, 30629, 0};
static int joe_kuo_d6_initial_number08001[] = {1, 3, 5, 7, 31, 7, 109, 177, 277, 75, 449, 3029, 7135, 427, 26641, 43157, 47671, 0};
static int joe_kuo_d6_initial_number08002[] = {1, 3, 7, 13, 29, 63, 21, 187, 471, 289, 835, 3885, 6111, 8721, 9841, 24017, 18673, 0};
static int joe_kuo_d6_initial_number08003[] = {1, 1, 5, 13, 25, 37, 15, 35, 227, 623, 47, 189, 3443, 1911, 8579, 50911, 10895, 0};
static int joe_kuo_d6_initial_number08004[] = {1, 3, 1, 1, 29, 53, 89, 101, 251, 203, 821, 2485, 633, 7943, 27563, 58735, 72057, 0};
static int joe_kuo_d6_initial_number08005[] = {1, 3, 7, 9, 23, 61, 121, 199, 19, 165, 131, 1373, 637, 7307, 7109, 42475, 126669, 0};
static int joe_kuo_d6_initial_number08006[] = {1, 3, 7, 13, 7, 5, 125, 173, 365, 65, 565, 751, 3343, 13421, 6177, 39095, 97375, 0};
static int joe_kuo_d6_initial_number08007[] = {1, 1, 7, 3, 1, 59, 65, 39, 307, 793, 887, 3291, 3405, 4497, 19351, 1821, 67861, 0};
static int joe_kuo_d6_initial_number08008[] = {1, 1, 1, 3, 19, 9, 101, 183, 163, 819, 769, 49, 5293, 3715, 4055, 32403, 90763, 0};
static int joe_kuo_d6_initial_number08009[] = {1, 3, 3, 1, 27, 31, 21, 123, 457, 1021, 1791, 2217, 6171, 11445, 15605, 59945, 19663, 0};
static int joe_kuo_d6_initial_number08010[] = {1, 1, 1, 9, 13, 53, 61, 201, 457, 111, 1217, 377, 5871, 4591, 16379, 42817, 129807, 0};
static int joe_kuo_d6_initial_number08011[] = {1, 3, 1, 5, 23, 37, 25, 7, 125, 651, 349, 3727, 1487, 5103, 31407, 40215, 16065, 0};
static int joe_kuo_d6_initial_number08012[] = {1, 1, 3, 11, 19, 29, 1, 193, 13, 287, 331, 985, 5391, 7307, 28075, 9939, 84999, 0};
static int joe_kuo_d6_initial_number08013[] = {1, 1, 1, 11, 21, 37, 117, 241, 229, 957, 2019, 819, 459, 6185, 21533, 64725, 24709, 0};
static int joe_kuo_d6_initial_number08014[] = {1, 3, 5, 13, 11, 25, 107, 245, 175, 519, 629, 537, 2227, 15123, 10619, 32611, 118697, 0};
static int joe_kuo_d6_initial_number08015[] = {1, 3, 1, 11, 5, 53, 119, 253, 489, 181, 1365, 3465, 1323, 949, 3657, 2467, 38545, 0};
static int joe_kuo_d6_initial_number08016[] = {1, 1, 3, 9, 27, 17, 109, 19, 297, 541, 89, 3021, 761, 5577, 907, 21405, 128029, 0};
static int joe_kuo_d6_initial_number08017[] = {1, 1, 3, 9, 31, 9, 61, 149, 267, 707, 671, 2733, 1247, 14623, 6395, 42579, 30845, 0};
static int joe_kuo_d6_initial_number08018[] = {1, 1, 7, 7, 25, 29, 63, 41, 309, 275, 2019, 1373, 1003, 13891, 16571, 16209, 30115, 0};
static int joe_kuo_d6_initial_number08019[] = {1, 3, 7, 1, 5, 21, 53, 97, 475, 799, 1963, 1181, 4187, 8767, 24779, 10403, 98349, 0};
static int joe_kuo_d6_initial_number08020[] = {1, 3, 3, 13, 19, 9, 125, 227, 347, 535, 353, 3087, 769, 9049, 20145, 27433, 23105, 0};
static int joe_kuo_d6_initial_number08021[] = {1, 1, 1, 15, 7, 61, 51, 113, 403, 501, 1767, 2785, 7151, 14517, 17533, 24913, 7121, 0};
static int joe_kuo_d6_initial_number08022[] = {1, 1, 1, 9, 7, 21, 27, 169, 425, 567, 31, 35, 7859, 929, 6545, 33983, 13227, 0};
static int joe_kuo_d6_initial_number08023[] = {1, 1, 5, 15, 11, 15, 69, 33, 127, 1005, 1947, 989, 6333, 15587, 18523, 53547, 115613, 0};
static int joe_kuo_d6_initial_number08024[] = {1, 3, 5, 3, 1, 55, 7, 99, 213, 737, 363, 3167, 3949, 3723, 15777, 23207, 22901, 0};
static int joe_kuo_d6_initial_number08025[] = {1, 1, 1, 9, 9, 29, 121, 85, 467, 811, 1, 3543, 6259, 4477, 31371, 27633, 22995, 0};
static int joe_kuo_d6_initial_number08026[] = {1, 3, 5, 3, 11, 21, 95, 19, 55, 71, 803, 3655, 3749, 5113, 13611, 38097, 20943, 0};
static int joe_kuo_d6_initial_number08027[] = {1, 3, 3, 11, 19, 25, 127, 105, 447, 499, 485, 881, 2649, 10297, 22283, 18305, 128919, 0};
static int joe_kuo_d6_initial_number08028[] = {1, 3, 7, 1, 11, 45, 21, 87, 481, 645, 815, 793, 5763, 3945, 14379, 19623, 103199, 0};
static int joe_kuo_d6_initial_number08029[] = {1, 3, 5, 1, 3, 45, 39, 229, 359, 151, 1079, 3955, 2107, 9593, 6701, 2811, 55215, 0};
static int joe_kuo_d6_initial_number08030[] = {1, 3, 7, 7, 27, 59, 69, 211, 373, 643, 977, 3545, 2647, 10473, 27919, 10719, 24823, 0};
static int joe_kuo_d6_initial_number08031[] = {1, 1, 3, 11, 7, 27, 117, 21, 59, 679, 969, 3813, 2701, 7363, 17525, 31229, 100665, 0};
static int joe_kuo_d6_initial_number08032[] = {1, 3, 3, 5, 29, 53, 113, 141, 197, 991, 81, 2701, 6831, 7949, 16569, 44185, 29631, 0};
static int joe_kuo_d6_initial_number08033[] = {1, 1, 1, 3, 1, 31, 9, 101, 347, 585, 577, 2529, 7461, 11921, 29475, 34505, 74911, 0};
static int joe_kuo_d6_initial_number08034[] = {1, 1, 1, 15, 25, 19, 95, 37, 93, 755, 1891, 2309, 623, 13503, 5811, 45863, 106501, 0};
static int joe_kuo_d6_initial_number08035[] = {1, 1, 5, 3, 15, 23, 51, 225, 87, 679, 1225, 4015, 3971, 163, 3185, 12921, 51267, 0};
static int joe_kuo_d6_initial_number08036[] = {1, 1, 5, 1, 1, 37, 105, 181, 379, 657, 571, 2775, 5905, 8391, 32069, 18713, 125833, 0};
static int joe_kuo_d6_initial_number08037[] = {1, 1, 7, 11, 11, 19, 109, 125, 371, 321, 629, 2165, 2861, 7883, 15503, 37679, 33057, 0};
static int joe_kuo_d6_initial_number08038[] = {1, 1, 3, 5, 7, 5, 21, 5, 169, 321, 1145, 2243, 6143, 2537, 4429, 56493, 39391, 0};
static int joe_kuo_d6_initial_number08039[] = {1, 3, 5, 5, 31, 7, 15, 175, 441, 663, 921, 3113, 2261, 13033, 19135, 28657, 92225, 0};
static int joe_kuo_d6_initial_number08040[] = {1, 3, 1, 11, 13, 9, 25, 57, 297, 3, 1561, 825, 2803, 11327, 2699, 28631, 57277, 0};
static int joe_kuo_d6_initial_number08041[] = {1, 1, 3, 9, 15, 25, 81, 197, 345, 341, 1557, 1375, 2509, 11949, 30201, 6807, 95199, 0};
static int joe_kuo_d6_initial_number08042[] = {1, 3, 5, 3, 15, 23, 91, 147, 277, 59, 495, 1423, 1775, 12065, 8401, 22639, 111199, 0};
static int joe_kuo_d6_initial_number08043[] = {1, 1, 5, 1, 1, 59, 35, 255, 229, 293, 187, 2663, 3967, 6493, 20103, 36703, 108939, 0};
static int joe_kuo_d6_initial_number08044[] = {1, 3, 7, 11, 15, 1, 23, 39, 27, 281, 11, 3119, 2791, 1691, 16521, 39715, 32145, 0};
static int joe_kuo_d6_initial_number08045[] = {1, 3, 5, 5, 9, 53, 43, 49, 107, 1015, 431, 3017, 3317, 9655, 19193, 45621, 56861, 0};
static int joe_kuo_d6_initial_number08046[] = {1, 3, 1, 15, 27, 63, 127, 31, 21, 245, 1503, 3339, 6375, 5411, 12369, 35973, 9473, 0};
static int joe_kuo_d6_initial_number08047[] = {1, 1, 3, 13, 31, 61, 19, 99, 25, 593, 539, 1807, 673, 12339, 23567, 22005, 130341, 0};
static int joe_kuo_d6_initial_number08048[] = {1, 1, 5, 3, 3, 3, 13, 183, 255, 41, 641, 581, 6509, 1891, 19195, 28277, 51725, 0};
static int joe_kuo_d6_initial_number08049[] = {1, 1, 3, 5, 3, 59, 17, 227, 9, 345, 1303, 1535, 3089, 2653, 20647, 63159, 124677, 0};
static int joe_kuo_d6_initial_number08050[] = {1, 3, 1, 11, 25, 19, 117, 29, 221, 461, 1285, 1427, 7183, 3051, 10839, 47491, 92613, 0};
static int joe_kuo_d6_initial_number08051[] = {1, 1, 3, 5, 27, 19, 1, 235, 51, 215, 783, 2325, 1191, 4679, 14365, 35479, 65083, 0};
static int joe_kuo_d6_initial_number08052[] = {1, 3, 3, 5, 27, 17, 79, 185, 259, 369, 1399, 1029, 2219, 10975, 30487, 15247, 39789, 0};
static int joe_kuo_d6_initial_number08053[] = {1, 3, 3, 1, 13, 13, 59, 119, 249, 471, 1433, 1165, 5345, 4431, 375, 64999, 85577, 0};
static int joe_kuo_d6_initial_number08054[] = {1, 1, 1, 3, 1, 19, 13, 243, 35, 675, 321, 3625, 7835, 6403, 651, 48283, 91819, 0};
static int joe_kuo_d6_initial_number08055[] = {1, 3, 3, 1, 27, 13, 73, 159, 145, 59, 287, 2419, 8115, 7923, 18933, 36109, 123879, 0};
static int joe_kuo_d6_initial_number08056[] = {1, 3, 1, 7, 21, 1, 83, 245, 477, 623, 391, 129, 6897, 3447, 11109, 17017, 68277, 0};
static int joe_kuo_d6_initial_number08057[] = {1, 1, 3, 11, 13, 43, 119, 93, 99, 393, 1219, 995, 1881, 7929, 4337, 33579, 103211, 0};
static int joe_kuo_d6_initial_number08058[] = {1, 1, 7, 7, 31, 5, 39, 25, 119, 819, 409, 2395, 151, 12763, 28265, 28909, 35685, 0};
static int joe_kuo_d6_initial_number08059[] = {1, 1, 1, 1, 3, 13, 59, 205, 19, 843, 1691, 955, 1859, 1791, 22083, 37843, 63615, 0};
static int joe_kuo_d6_initial_number08060[] = {1, 1, 1, 3, 11, 63, 41, 243, 103, 875, 1337, 3731, 6317, 12951, 31743, 56935, 55975, 0};
static int joe_kuo_d6_initial_number08061[] = {1, 1, 3, 13, 19, 11, 51, 97, 469, 279, 1621, 3521, 853, 11849, 3331, 27907, 119081, 0};
static int joe_kuo_d6_initial_number08062[] = {1, 1, 5, 1, 23, 55, 9, 141, 449, 41, 167, 2441, 6783, 2785, 3547, 35379, 74973, 0};
static int joe_kuo_d6_initial_number08063[] = {1, 1, 5, 3, 15, 55, 13, 75, 107, 153, 1841, 3991, 3229, 6523, 18541, 21571, 31539, 0};
static int joe_kuo_d6_initial_number08064[] = {1, 3, 1, 1, 27, 37, 35, 201, 401, 867, 1861, 1783, 6255, 14001, 29543, 25843, 39719, 0};
static int joe_kuo_d6_initial_number08065[] = {1, 1, 7, 15, 3, 43, 113, 173, 297, 457, 1369, 4053, 5033, 5513, 27387, 14725, 79937, 0};
static int joe_kuo_d6_initial_number08066[] = {1, 1, 5, 13, 5, 27, 109, 93, 187, 833, 1551, 2899, 1681, 6979, 1289, 3507, 66499, 0};
static int joe_kuo_d6_initial_number08067[] = {1, 1, 3, 11, 11, 47, 121, 29, 129, 807, 2037, 1527, 6083, 14803, 10669, 46047, 70241, 0};
static int joe_kuo_d6_initial_number08068[] = {1, 3, 1, 9, 29, 3, 19, 191, 461, 527, 1389, 3359, 81, 6773, 12185, 49207, 19091, 0};
static int joe_kuo_d6_initial_number08069[] = {1, 3, 7, 7, 5, 47, 33, 27, 445, 1, 149, 343, 4827, 91, 29233, 37775, 89321, 0};
static int joe_kuo_d6_initial_number08070[] = {1, 3, 5, 1, 13, 55, 107, 99, 259, 591, 983, 3863, 1231, 3457, 29645, 10709, 16543, 0};
static int joe_kuo_d6_initial_number08071[] = {1, 3, 7, 9, 29, 5, 9, 165, 337, 187, 219, 97, 6511, 193, 23947, 36329, 35317, 0};
static int joe_kuo_d6_initial_number08072[] = {1, 3, 7, 1, 31, 25, 5, 175, 409, 1021, 1873, 289, 7143, 15341, 31501, 25707, 106453, 0};
static int joe_kuo_d6_initial_number08073[] = {1, 3, 7, 7, 27, 1, 15, 221, 341, 987, 1739, 1183, 8139, 11081, 29721, 42991, 72805, 0};
static int joe_kuo_d6_initial_number08074[] = {1, 1, 1, 9, 11, 1, 13, 17, 501, 543, 1485, 987, 1861, 8527, 1621, 30461, 23057, 0};
static int joe_kuo_d6_initial_number08075[] = {1, 3, 7, 7, 9, 41, 1, 253, 71, 1009, 427, 3347, 6987, 3303, 30535, 33345, 126459, 0};
static int joe_kuo_d6_initial_number08076[] = {1, 1, 1, 7, 11, 11, 15, 11, 305, 559, 1805, 1111, 377, 1495, 13471, 34831, 123125, 0};
static int joe_kuo_d6_initial_number08077[] = {1, 1, 5, 7, 9, 37, 27, 45, 61, 705, 263, 3181, 7077, 5227, 28121, 42865, 3809, 0};
static int joe_kuo_d6_initial_number08078[] = {1, 1, 5, 1, 23, 25, 29, 199, 259, 959, 661, 43, 6157, 1547, 1497, 24077, 129939, 0};
static int joe_kuo_d6_initial_number08079[] = {1, 3, 5, 3, 13, 49, 33, 19, 367, 891, 1777, 3119, 5673, 8383, 14487, 1763, 63495, 0};
static int joe_kuo_d6_initial_number08080[] = {1, 1, 1, 13, 9, 57, 35, 181, 7, 225, 449, 3843, 6257, 4983, 31307, 16559, 27633, 0};
static int joe_kuo_d6_initial_number08081[] = {1, 3, 1, 11, 7, 33, 55, 81, 41, 61, 1711, 3273, 7629, 11283, 9103, 24105, 107547, 0};
static int joe_kuo_d6_initial_number08082[] = {1, 3, 5, 5, 13, 17, 13, 51, 235, 869, 1543, 1249, 7749, 14773, 21751, 53497, 108709, 0};
static int joe_kuo_d6_initial_number08083[] = {1, 1, 3, 9, 3, 63, 89, 43, 23, 479, 115, 3917, 7943, 7323, 5659, 64507, 46941, 0};
static int joe_kuo_d6_initial_number08084[] = {1, 1, 3, 1, 25, 63, 25, 169, 459, 633, 1785, 1059, 5113, 4799, 29281, 24561, 17017, 0};
static int joe_kuo_d6_initial_number08085[] = {1, 1, 3, 3, 15, 3, 11, 173, 493, 5, 1575, 653, 7391, 7453, 8297, 28653, 6213, 0};
static int joe_kuo_d6_initial_number08086[] = {1, 1, 7, 5, 29, 5, 1, 57, 75, 479, 787, 3417, 3349, 111, 17787, 41141, 97597, 0};
static int joe_kuo_d6_initial_number08087[] = {1, 3, 7, 1, 11, 7, 107, 159, 435, 159, 1401, 803, 7065, 5923, 4005, 37271, 113791, 0};
static int joe_kuo_d6_initial_number08088[] = {1, 1, 5, 1, 23, 55, 7, 59, 351, 801, 1279, 3231, 4561, 2857, 20563, 46115, 79489, 0};
static int joe_kuo_d6_initial_number08089[] = {1, 3, 3, 15, 19, 13, 113, 33, 149, 175, 1127, 3815, 4357, 12645, 4449, 61355, 83023, 0};
static int joe_kuo_d6_initial_number08090[] = {1, 1, 7, 15, 3, 17, 41, 57, 243, 319, 1631, 2751, 7853, 5977, 28367, 20023, 56049, 0};
static int joe_kuo_d6_initial_number08091[] = {1, 3, 1, 7, 27, 59, 7, 13, 497, 241, 1827, 2861, 1331, 1759, 6037, 18967, 42849, 0};
static int joe_kuo_d6_initial_number08092[] = {1, 3, 1, 1, 31, 43, 41, 183, 241, 219, 335, 2331, 755, 10589, 29431, 29007, 66667, 0};
static int joe_kuo_d6_initial_number08093[] = {1, 1, 3, 1, 27, 37, 61, 117, 471, 39, 139, 3821, 2945, 7035, 23673, 20167, 56169, 0};
static int joe_kuo_d6_initial_number08094[] = {1, 3, 1, 1, 9, 29, 123, 61, 171, 1015, 1029, 1695, 1039, 11883, 259, 10879, 97709, 0};
static int joe_kuo_d6_initial_number08095[] = {1, 3, 3, 5, 29, 39, 65, 193, 285, 635, 999, 717, 5465, 1849, 4293, 19775, 79121, 0};
static int joe_kuo_d6_initial_number08096[] = {1, 1, 7, 1, 3, 3, 103, 15, 451, 307, 1027, 263, 6585, 11651, 14457, 62695, 38407, 0};
static int joe_kuo_d6_initial_number08097[] = {1, 3, 7, 11, 13, 13, 29, 83, 267, 561, 2041, 13, 3167, 3475, 14735, 34455, 117533, 0};
static int joe_kuo_d6_initial_number08098[] = {1, 3, 1, 15, 5, 1, 35, 225, 151, 637, 1347, 833, 7077, 13145, 10285, 46583, 14351, 0};
static int joe_kuo_d6_initial_number08099[] = {1, 1, 3, 15, 27, 63, 119, 159, 209, 421, 1413, 2727, 1607, 7175, 6133, 29051, 97387, 0};
static int joe_kuo_d6_initial_number08100[] = {1, 1, 3, 5, 9, 29, 35, 93, 353, 903, 1037, 469, 5473, 7193, 21883, 14709, 89023, 0};
static int joe_kuo_d6_initial_number08101[] = {1, 1, 1, 11, 9, 17, 51, 155, 145, 443, 1985, 423, 4721, 15721, 9747, 10303, 21909, 0};
static int joe_kuo_d6_initial_number08102[] = {1, 3, 7, 15, 19, 49, 53, 153, 241, 739, 1585, 3945, 4869, 11, 15845, 17937, 69397, 0};
static int joe_kuo_d6_initial_number08103[] = {1, 1, 5, 7, 19, 53, 43, 211, 327, 723, 1513, 1569, 919, 1771, 11309, 50787, 7459, 0};
static int joe_kuo_d6_initial_number08104[] = {1, 1, 1, 9, 7, 29, 49, 89, 409, 685, 201, 1327, 2807, 13101, 2485, 62909, 102595, 0};
static int joe_kuo_d6_initial_number08105[] = {1, 3, 1, 13, 21, 51, 37, 231, 271, 475, 855, 3703, 4447, 5161, 17937, 14471, 47173, 0};
static int joe_kuo_d6_initial_number08106[] = {1, 1, 7, 3, 9, 7, 121, 197, 71, 147, 1669, 1745, 6589, 15029, 1529, 12625, 121925, 0};
static int joe_kuo_d6_initial_number08107[] = {1, 1, 1, 3, 7, 47, 63, 61, 187, 341, 919, 307, 389, 14141, 12941, 17917, 104289, 0};
static int joe_kuo_d6_initial_number08108[] = {1, 3, 5, 13, 19, 43, 57, 11, 383, 311, 1229, 3527, 3301, 12473, 24377, 16279, 92733, 0};
static int joe_kuo_d6_initial_number08109[] = {1, 3, 3, 5, 25, 35, 63, 23, 131, 481, 809, 3627, 5685, 13695, 14121, 64751, 66181, 0};
static int joe_kuo_d6_initial_number08110[] = {1, 3, 1, 5, 11, 43, 89, 55, 103, 219, 1861, 3223, 5111, 5879, 31399, 1395, 87419, 0};
static int joe_kuo_d6_initial_number08111[] = {1, 3, 1, 11, 21, 27, 123, 205, 47, 923, 7, 1635, 4019, 8431, 28313, 24275, 129617, 0};
static int joe_kuo_d6_initial_number08112[] = {1, 1, 1, 3, 1, 11, 91, 215, 393, 999, 1071, 3225, 4415, 759, 24499, 16109, 33791, 0};
static int joe_kuo_d6_initial_number08113[] = {1, 1, 3, 13, 19, 45, 77, 103, 105, 395, 529, 3631, 8179, 4467, 30263, 39379, 70507, 0};
static int joe_kuo_d6_initial_number08114[] = {1, 3, 3, 9, 17, 45, 101, 219, 433, 971, 471, 1243, 6955, 5941, 20641, 16119, 129383, 0};
static int joe_kuo_d6_initial_number08115[] = {1, 1, 7, 7, 9, 9, 91, 95, 503, 171, 129, 1509, 7179, 5367, 2219, 50445, 112459, 0};
static int joe_kuo_d6_initial_number08116[] = {1, 3, 7, 1, 17, 17, 19, 173, 229, 519, 147, 1835, 3797, 8091, 20335, 33177, 90197, 0};
static int joe_kuo_d6_initial_number08117[] = {1, 3, 3, 5, 23, 29, 107, 205, 43, 969, 799, 1239, 1353, 5221, 15175, 42945, 34043, 0};
static int joe_kuo_d6_initial_number08118[] = {1, 1, 5, 7, 31, 63, 67, 87, 189, 301, 1719, 3937, 965, 2505, 24781, 25133, 91675, 0};
static int joe_kuo_d6_initial_number08119[] = {1, 3, 1, 7, 15, 25, 11, 39, 281, 35, 1149, 1445, 6451, 12069, 20959, 29895, 60059, 0};
static int joe_kuo_d6_initial_number08120[] = {1, 1, 5, 1, 1, 17, 65, 213, 359, 561, 2015, 1629, 3521, 6877, 8099, 62483, 103903, 0};
static int joe_kuo_d6_initial_number08121[] = {1, 1, 7, 9, 7, 49, 1, 227, 49, 823, 1141, 2419, 2697, 13293, 14143, 6323, 16081, 0};
static int joe_kuo_d6_initial_number08122[] = {1, 3, 3, 1, 9, 13, 99, 235, 343, 601, 927, 183, 4545, 14529, 5521, 55571, 90675, 0};
static int joe_kuo_d6_initial_number08123[] = {1, 1, 5, 1, 13, 49, 95, 153, 131, 955, 283, 2951, 3651, 7743, 4285, 42621, 110577, 0};
static int joe_kuo_d6_initial_number08124[] = {1, 1, 1, 9, 19, 59, 97, 181, 67, 357, 497, 287, 3523, 3729, 28981, 59687, 39463, 0};
static int joe_kuo_d6_initial_number08125[] = {1, 1, 3, 7, 5, 19, 107, 55, 393, 225, 1953, 669, 8063, 6537, 15983, 59891, 95079, 0};
static int joe_kuo_d6_initial_number08126[] = {1, 3, 1, 5, 29, 21, 17, 169, 447, 697, 1613, 3483, 3139, 11175, 28865, 12065, 130241, 0};
static int joe_kuo_d6_initial_number08127[] = {1, 3, 5, 7, 5, 49, 35, 181, 85, 505, 1537, 1345, 773, 3255, 27405, 3959, 126377, 0};
static int joe_kuo_d6_initial_number08128[] = {1, 1, 7, 15, 9, 9, 17, 99, 409, 319, 807, 1721, 4023, 2171, 32657, 51663, 23253, 0};
static int joe_kuo_d6_initial_number08129[] = {1, 3, 5, 1, 5, 3, 37, 219, 89, 263, 397, 573, 6147, 9525, 2521, 11153, 94319, 0};
static int joe_kuo_d6_initial_number08130[] = {1, 1, 5, 5, 11, 39, 55, 205, 209, 239, 1443, 2477, 1941, 8337, 2883, 54593, 129859, 0};
static int joe_kuo_d6_initial_number08131[] = {1, 1, 1, 7, 11, 13, 127, 65, 127, 413, 1553, 413, 3395, 9451, 7517, 34103, 57029, 0};
static int joe_kuo_d6_initial_number08132[] = {1, 1, 1, 15, 5, 25, 109, 181, 399, 1023, 277, 3365, 6209, 827, 13933, 27483, 63835, 0};
static int joe_kuo_d6_initial_number08133[] = {1, 1, 3, 3, 21, 57, 95, 127, 481, 365, 197, 3631, 7443, 4925, 31277, 35061, 35875, 0};
static int joe_kuo_d6_initial_number08134[] = {1, 1, 7, 13, 3, 31, 59, 127, 441, 967, 1049, 1281, 3553, 375, 9683, 45755, 18889, 0};
static int joe_kuo_d6_initial_number08135[] = {1, 1, 1, 13, 11, 39, 49, 43, 383, 607, 157, 1887, 3623, 13335, 31949, 49843, 96781, 0};
static int joe_kuo_d6_initial_number08136[] = {1, 3, 7, 13, 19, 35, 21, 9, 299, 425, 1921, 3481, 6849, 4149, 5227, 56737, 27559, 0};
static int joe_kuo_d6_initial_number08137[] = {1, 3, 7, 5, 21, 11, 79, 97, 1, 849, 819, 1133, 3393, 5429, 10621, 38787, 120785, 0};
static int joe_kuo_d6_initial_number08138[] = {1, 1, 1, 13, 21, 29, 3, 239, 399, 619, 759, 2655, 3691, 655, 30979, 15507, 114791, 0};
static int joe_kuo_d6_initial_number08139[] = {1, 3, 5, 3, 1, 61, 79, 43, 273, 965, 1759, 3901, 2437, 1703, 20205, 46291, 23679, 0};
static int joe_kuo_d6_initial_number08140[] = {1, 1, 1, 9, 19, 57, 75, 245, 377, 261, 231, 3683, 6745, 7797, 28471, 56269, 109969, 0};
static int joe_kuo_d6_initial_number08141[] = {1, 3, 1, 11, 9, 55, 53, 87, 33, 431, 1805, 2933, 455, 12479, 16235, 2667, 70105, 0};
static int joe_kuo_d6_initial_number08142[] = {1, 3, 5, 1, 29, 1, 101, 17, 377, 499, 1365, 209, 4819, 15099, 8769, 37003, 53003, 0};
static int joe_kuo_d6_initial_number08143[] = {1, 3, 5, 11, 11, 39, 109, 235, 337, 393, 35, 1071, 7085, 7165, 25143, 24223, 71493, 0};
static int joe_kuo_d6_initial_number08144[] = {1, 3, 1, 5, 13, 49, 9, 205, 305, 943, 799, 2405, 319, 10755, 9785, 32023, 48015, 0};
static int joe_kuo_d6_initial_number08145[] = {1, 3, 1, 9, 29, 35, 123, 101, 73, 747, 1257, 407, 5871, 4271, 14837, 52727, 13339, 0};
static int joe_kuo_d6_initial_number08146[] = {1, 3, 3, 9, 31, 7, 113, 27, 89, 123, 1117, 531, 5531, 7897, 11209, 35267, 123457, 0};
static int joe_kuo_d6_initial_number08147[] = {1, 1, 1, 1, 29, 19, 93, 11, 61, 743, 267, 13, 6561, 7667, 20537, 12675, 10481, 0};
static int joe_kuo_d6_initial_number08148[] = {1, 1, 5, 13, 27, 47, 103, 171, 349, 139, 1709, 961, 783, 7147, 5569, 53395, 80797, 0};
static int joe_kuo_d6_initial_number08149[] = {1, 3, 1, 9, 21, 49, 41, 175, 507, 861, 1157, 1033, 6795, 5795, 603, 12485, 75263, 0};
static int joe_kuo_d6_initial_number08150[] = {1, 1, 5, 7, 23, 3, 21, 165, 123, 951, 785, 2065, 8001, 7009, 22981, 10011, 9807, 0};
static int joe_kuo_d6_initial_number08151[] = {1, 3, 7, 15, 1, 53, 49, 197, 231, 351, 141, 3465, 7907, 10695, 30913, 26753, 71079, 0};
static int joe_kuo_d6_initial_number08152[] = {1, 3, 5, 3, 29, 45, 23, 131, 65, 507, 75, 275, 7287, 187, 1093, 52657, 31533, 0};
static int joe_kuo_d6_initial_number08153[] = {1, 3, 5, 9, 9, 7, 113, 125, 441, 75, 663, 4081, 3147, 1469, 28375, 35747, 122965, 0};
static int joe_kuo_d6_initial_number08154[] = {1, 1, 7, 3, 3, 57, 5, 17, 183, 237, 965, 3709, 4161, 9513, 217, 58835, 78789, 0};
static int joe_kuo_d6_initial_number08155[] = {1, 1, 3, 1, 7, 25, 13, 29, 173, 319, 1723, 57, 2401, 10405, 15541, 52915, 93747, 0};
static int joe_kuo_d6_initial_number08156[] = {1, 1, 7, 5, 1, 31, 11, 61, 341, 97, 1199, 2585, 5909, 3707, 31507, 51233, 2389, 0};
static int joe_kuo_d6_initial_number08157[] = {1, 1, 5, 15, 15, 21, 127, 155, 229, 203, 1303, 3215, 1965, 9481, 31909, 52307, 112207, 0};
static int joe_kuo_d6_initial_number08158[] = {1, 3, 1, 13, 9, 45, 91, 39, 113, 587, 895, 637, 2475, 1695, 9347, 53255, 75797, 0};
static int joe_kuo_d6_initial_number08159[] = {1, 3, 5, 13, 17, 11, 35, 83, 69, 255, 741, 3927, 153, 11001, 29145, 37107, 51873, 0};
static int joe_kuo_d6_initial_number08160[] = {1, 1, 7, 5, 5, 37, 35, 219, 153, 1005, 973, 2555, 893, 5931, 23857, 34631, 74561, 0};
static int joe_kuo_d6_initial_number08161[] = {1, 3, 1, 11, 21, 63, 113, 29, 115, 307, 957, 407, 879, 4819, 2865, 1773, 116825, 0};
static int joe_kuo_d6_initial_number08162[] = {1, 3, 7, 3, 19, 55, 87, 21, 139, 571, 311, 2295, 2729, 6371, 11845, 30223, 19247, 0};
static int joe_kuo_d6_initial_number08163[] = {1, 3, 7, 5, 23, 9, 59, 25, 357, 863, 435, 2509, 5599, 14039, 25731, 41645, 255, 0};
static int joe_kuo_d6_initial_number08164[] = {1, 3, 7, 13, 9, 3, 63, 115, 503, 489, 1585, 813, 5419, 691, 23973, 18677, 59979, 0};
static int joe_kuo_d6_initial_number08165[] = {1, 1, 1, 1, 13, 3, 55, 23, 185, 731, 459, 1497, 433, 16243, 29995, 20777, 59513, 0};
static int joe_kuo_d6_initial_number08166[] = {1, 1, 7, 3, 27, 55, 77, 57, 349, 5, 617, 385, 6225, 7025, 23335, 877, 21973, 0};
static int joe_kuo_d6_initial_number08167[] = {1, 3, 3, 5, 3, 37, 105, 197, 153, 639, 1643, 1093, 801, 4605, 4551, 46081, 7739, 0};
static int joe_kuo_d6_initial_number08168[] = {1, 1, 5, 11, 29, 23, 5, 91, 39, 489, 2029, 887, 4451, 11463, 5641, 56299, 34027, 0};
static int joe_kuo_d6_initial_number08169[] = {1, 1, 7, 3, 17, 11, 25, 161, 317, 701, 155, 1989, 7549, 11529, 9945, 18395, 61251, 0};
static int joe_kuo_d6_initial_number08170[] = {1, 1, 7, 13, 23, 55, 113, 91, 17, 149, 1893, 2793, 8185, 81, 29487, 47925, 51837, 0};
static int joe_kuo_d6_initial_number08171[] = {1, 3, 7, 7, 9, 29, 103, 161, 215, 129, 113, 1987, 919, 9639, 20715, 6541, 15041, 0};
static int joe_kuo_d6_initial_number08172[] = {1, 1, 5, 9, 19, 19, 127, 43, 263, 997, 1687, 3801, 4249, 6309, 25889, 1787, 122771, 0};
static int joe_kuo_d6_initial_number08173[] = {1, 3, 5, 13, 17, 3, 91, 183, 349, 467, 333, 3299, 3085, 12135, 16801, 31471, 37227, 0};
static int joe_kuo_d6_initial_number08174[] = {1, 1, 5, 3, 7, 53, 11, 221, 407, 545, 237, 3631, 1791, 3729, 19737, 921, 57303, 0};
static int joe_kuo_d6_initial_number08175[] = {1, 3, 7, 15, 3, 27, 71, 45, 219, 9, 1135, 2267, 6841, 8637, 30317, 9397, 115425, 0};
static int joe_kuo_d6_initial_number08176[] = {1, 1, 3, 5, 29, 59, 121, 225, 419, 813, 1725, 3969, 3451, 8457, 31803, 57659, 33263, 0};
static int joe_kuo_d6_initial_number08177[] = {1, 3, 3, 3, 17, 3, 65, 249, 423, 293, 1333, 3947, 1477, 4005, 30445, 28171, 95823, 0};
static int joe_kuo_d6_initial_number08178[] = {1, 3, 3, 11, 29, 45, 67, 89, 75, 95, 555, 1823, 2795, 11929, 1995, 30013, 116241, 0};
static int joe_kuo_d6_initial_number08179[] = {1, 3, 3, 3, 23, 35, 87, 221, 385, 275, 803, 387, 7765, 15637, 27953, 20913, 25279, 0};
static int joe_kuo_d6_initial_number08180[] = {1, 3, 7, 15, 15, 43, 21, 179, 393, 95, 1913, 1715, 4467, 15093, 13613, 50775, 37133, 0};
static int joe_kuo_d6_initial_number08181[] = {1, 1, 7, 7, 31, 27, 49, 71, 323, 123, 597, 2395, 4449, 7249, 20197, 19789, 92685, 0};
static int joe_kuo_d6_initial_number08182[] = {1, 1, 5, 13, 31, 37, 89, 225, 357, 201, 1887, 3915, 2165, 10809, 21623, 34375, 110905, 0};
static int joe_kuo_d6_initial_number08183[] = {1, 1, 5, 7, 11, 53, 37, 55, 61, 679, 1465, 1587, 2215, 16237, 14985, 50507, 128637, 0};
static int joe_kuo_d6_initial_number08184[] = {1, 1, 7, 1, 15, 53, 115, 21, 279, 555, 43, 2429, 7251, 2141, 4813, 47047, 119551, 0};
static int joe_kuo_d6_initial_number08185[] = {1, 1, 5, 13, 11, 41, 59, 245, 337, 117, 1125, 4007, 947, 10591, 17795, 48535, 72171, 0};
static int joe_kuo_d6_initial_number08186[] = {1, 1, 5, 15, 27, 41, 71, 43, 505, 539, 975, 1567, 795, 4433, 11689, 53051, 98819, 0};
static int joe_kuo_d6_initial_number08187[] = {1, 1, 7, 9, 1, 57, 57, 137, 323, 311, 759, 3027, 3713, 13, 24133, 21451, 1153, 0};
static int joe_kuo_d6_initial_number08188[] = {1, 1, 5, 15, 31, 49, 23, 123, 271, 549, 1995, 5, 6065, 3797, 1085, 50137, 19741, 0};
static int joe_kuo_d6_initial_number08189[] = {1, 3, 3, 13, 5, 15, 21, 117, 487, 43, 1759, 2899, 4239, 9729, 16711, 31559, 34553, 0};
static int joe_kuo_d6_initial_number08190[] = {1, 1, 5, 13, 5, 23, 83, 49, 147, 267, 923, 1377, 1687, 1793, 30383, 19537, 66989, 0};
static int joe_kuo_d6_initial_number08191[] = {1, 1, 1, 13, 9, 41, 105, 241, 499, 891, 885, 3349, 4703, 5609, 11999, 58025, 69089, 0};
static int joe_kuo_d6_initial_number08192[] = {1, 1, 7, 9, 21, 11, 121, 69, 115, 895, 91, 3745, 41, 12787, 26181, 31399, 30463, 0};
static int joe_kuo_d6_initial_number08193[] = {1, 1, 7, 13, 11, 3, 23, 173, 5, 907, 45, 3465, 2807, 3731, 14347, 27973, 8567, 0};
static int joe_kuo_d6_initial_number08194[] = {1, 3, 7, 5, 27, 47, 43, 25, 499, 57, 649, 705, 6223, 4213, 4549, 23213, 13657, 0};
static int joe_kuo_d6_initial_number08195[] = {1, 1, 7, 11, 21, 35, 5, 79, 295, 359, 1993, 99, 7917, 14917, 2131, 45527, 31451, 0};
static int joe_kuo_d6_initial_number08196[] = {1, 1, 5, 15, 1, 39, 85, 93, 65, 991, 389, 585, 4835, 11671, 10913, 41787, 84953, 0};
static int joe_kuo_d6_initial_number08197[] = {1, 1, 1, 5, 27, 5, 1, 15, 11, 83, 1191, 3945, 4697, 7703, 6929, 6057, 88721, 0};
static int joe_kuo_d6_initial_number08198[] = {1, 1, 3, 7, 27, 39, 71, 181, 191, 997, 419, 1671, 7771, 15305, 18677, 45033, 64745, 0};
static int joe_kuo_d6_initial_number08199[] = {1, 3, 7, 3, 15, 41, 33, 239, 93, 307, 153, 2701, 1549, 5011, 6913, 19257, 55829, 0};
static int joe_kuo_d6_initial_number08200[] = {1, 3, 3, 11, 21, 47, 69, 223, 365, 877, 431, 1629, 4803, 11591, 13973, 56359, 11897, 0};
static int joe_kuo_d6_initial_number08201[] = {1, 3, 7, 7, 1, 59, 63, 129, 251, 873, 603, 2707, 2847, 8739, 31343, 63291, 5607, 0};
static int joe_kuo_d6_initial_number08202[] = {1, 3, 5, 5, 19, 13, 79, 235, 151, 571, 953, 2191, 5973, 4751, 11119, 14439, 97755, 0};
static int joe_kuo_d6_initial_number08203[] = {1, 1, 5, 1, 27, 3, 105, 139, 13, 821, 221, 2025, 7303, 1891, 28193, 45537, 92703, 0};
static int joe_kuo_d6_initial_number08204[] = {1, 3, 7, 9, 13, 63, 27, 149, 51, 121, 587, 3695, 4115, 3955, 22493, 34903, 51669, 0};
static int joe_kuo_d6_initial_number08205[] = {1, 1, 5, 7, 19, 5, 89, 87, 269, 585, 421, 3827, 315, 14739, 109, 43009, 94969, 0};
static int joe_kuo_d6_initial_number08206[] = {1, 1, 5, 15, 9, 53, 125, 83, 159, 917, 1583, 585, 6839, 14957, 20007, 60467, 96309, 0};
static int joe_kuo_d6_initial_number08207[] = {1, 3, 5, 1, 23, 49, 109, 91, 17, 731, 1083, 3153, 1825, 14293, 25639, 44599, 47541, 0};
static int joe_kuo_d6_initial_number08208[] = {1, 1, 3, 7, 21, 51, 45, 25, 367, 925, 799, 1673, 6977, 7155, 829, 25899, 104615, 0};
static int joe_kuo_d6_initial_number08209[] = {1, 3, 3, 13, 13, 49, 95, 239, 195, 353, 1967, 1419, 929, 503, 11717, 9485, 62885, 0};
static int joe_kuo_d6_initial_number08210[] = {1, 1, 1, 15, 3, 41, 109, 91, 327, 789, 1429, 1159, 2801, 4845, 19663, 47737, 11029, 0};
static int joe_kuo_d6_initial_number08211[] = {1, 3, 5, 1, 21, 63, 57, 107, 229, 771, 1911, 647, 6989, 12615, 23191, 64941, 97595, 0};
static int joe_kuo_d6_initial_number08212[] = {1, 1, 1, 15, 5, 13, 15, 109, 459, 447, 1625, 1269, 7629, 7929, 4405, 12143, 40481, 0};
static int joe_kuo_d6_initial_number08213[] = {1, 3, 3, 1, 23, 3, 95, 229, 363, 379, 1149, 1615, 5125, 3645, 27535, 58791, 38091, 0};
static int joe_kuo_d6_initial_number08214[] = {1, 1, 1, 1, 9, 45, 119, 85, 151, 171, 1123, 41, 6517, 8067, 17845, 23301, 95383, 0};
static int joe_kuo_d6_initial_number08215[] = {1, 3, 1, 15, 17, 31, 103, 71, 35, 1019, 1687, 1175, 6119, 14075, 26601, 28873, 36617, 0};
static int joe_kuo_d6_initial_number08216[] = {1, 3, 3, 9, 13, 39, 7, 17, 207, 219, 637, 3025, 1709, 4031, 563, 14865, 129389, 0};
static int joe_kuo_d6_initial_number08217[] = {1, 3, 7, 1, 21, 11, 121, 85, 111, 641, 1163, 3173, 5189, 13261, 19471, 39635, 76545, 0};
static int joe_kuo_d6_initial_number08218[] = {1, 3, 7, 15, 3, 45, 3, 37, 121, 967, 1861, 3257, 3699, 6881, 11905, 8413, 59397, 0};
static int joe_kuo_d6_initial_number08219[] = {1, 3, 3, 13, 25, 53, 85, 181, 1, 979, 2045, 297, 1739, 8139, 17897, 35251, 7193, 0};
static int joe_kuo_d6_initial_number08220[] = {1, 1, 1, 3, 5, 49, 77, 115, 377, 209, 1415, 3747, 485, 803, 2507, 27729, 52201, 0};
static int joe_kuo_d6_initial_number08221[] = {1, 3, 1, 5, 31, 55, 85, 171, 135, 893, 1423, 3693, 6155, 5321, 8297, 39183, 88377, 0};
static int joe_kuo_d6_initial_number08222[] = {1, 3, 3, 15, 1, 35, 73, 239, 181, 101, 509, 2449, 4955, 13049, 27631, 16871, 40151, 0};
static int joe_kuo_d6_initial_number08223[] = {1, 1, 7, 13, 27, 7, 109, 71, 437, 835, 563, 1355, 3681, 7431, 32743, 59693, 125055, 0};
static int joe_kuo_d6_initial_number08224[] = {1, 1, 7, 5, 19, 23, 29, 147, 291, 507, 1943, 2069, 3309, 11569, 1031, 49345, 86735, 0};
static int joe_kuo_d6_initial_number08225[] = {1, 1, 3, 13, 17, 45, 91, 167, 19, 137, 527, 961, 4435, 2277, 6863, 57917, 129407, 0};
static int joe_kuo_d6_initial_number08226[] = {1, 3, 5, 7, 11, 31, 79, 207, 43, 871, 1121, 2929, 6899, 4099, 29533, 45333, 33299, 0};
static int joe_kuo_d6_initial_number08227[] = {1, 1, 7, 5, 5, 49, 13, 95, 475, 91, 337, 3531, 3157, 1331, 32655, 46169, 3549, 0};
static int joe_kuo_d6_initial_number08228[] = {1, 3, 1, 5, 5, 9, 73, 177, 123, 251, 717, 541, 7083, 6907, 1417, 31203, 9755, 0};
static int joe_kuo_d6_initial_number08229[] = {1, 3, 1, 11, 21, 11, 91, 155, 447, 165, 1525, 2073, 5103, 193, 2677, 43673, 70579, 0};
static int joe_kuo_d6_initial_number08230[] = {1, 3, 7, 1, 7, 27, 115, 247, 211, 779, 1999, 209, 3215, 111, 25567, 34641, 130873, 0};
static int joe_kuo_d6_initial_number08231[] = {1, 1, 5, 9, 25, 7, 15, 19, 217, 831, 1577, 2051, 3533, 2337, 7675, 2845, 69135, 0};
static int joe_kuo_d6_initial_number08232[] = {1, 3, 5, 15, 29, 11, 91, 59, 221, 383, 1235, 1261, 2967, 14989, 11455, 6459, 58047, 0};
static int joe_kuo_d6_initial_number08233[] = {1, 3, 5, 1, 3, 35, 5, 127, 99, 981, 493, 3001, 5651, 3125, 27789, 57389, 115631, 0};
static int joe_kuo_d6_initial_number08234[] = {1, 3, 5, 5, 29, 63, 123, 161, 247, 177, 1653, 2665, 3903, 11129, 20961, 49429, 44075, 0};
static int joe_kuo_d6_initial_number08235[] = {1, 3, 1, 1, 13, 9, 57, 167, 291, 765, 1929, 397, 5503, 5601, 6957, 62003, 104631, 0};
static int joe_kuo_d6_initial_number08236[] = {1, 1, 7, 15, 9, 43, 57, 85, 157, 361, 1931, 2183, 8045, 14939, 2169, 25733, 29095, 0};
static int joe_kuo_d6_initial_number08237[] = {1, 1, 3, 15, 13, 35, 47, 123, 13, 667, 1373, 4069, 6259, 13453, 13439, 25349, 99437, 0};
static int joe_kuo_d6_initial_number08238[] = {1, 3, 7, 1, 31, 15, 69, 45, 355, 919, 415, 793, 3987, 8785, 4905, 8177, 123989, 0};
static int joe_kuo_d6_initial_number08239[] = {1, 3, 7, 13, 29, 27, 69, 57, 385, 185, 171, 2499, 3983, 13437, 23585, 21501, 88079, 0};
static int joe_kuo_d6_initial_number08240[] = {1, 1, 5, 11, 27, 3, 77, 99, 221, 997, 1653, 1963, 2251, 15505, 26347, 51933, 100679, 0};
static int joe_kuo_d6_initial_number08241[] = {1, 1, 1, 7, 19, 39, 49, 69, 193, 235, 959, 2823, 2573, 8001, 4389, 13217, 60975, 0};
static int joe_kuo_d6_initial_number08242[] = {1, 1, 7, 5, 1, 3, 3, 189, 199, 293, 1225, 1913, 7271, 2255, 661, 23293, 82069, 0};
static int joe_kuo_d6_initial_number08243[] = {1, 1, 5, 5, 21, 31, 35, 113, 47, 479, 325, 1663, 7409, 8975, 14151, 56317, 79663, 0};
static int joe_kuo_d6_initial_number08244[] = {1, 1, 5, 9, 15, 63, 99, 135, 277, 715, 667, 387, 6929, 12873, 12913, 2599, 84939, 0};
static int joe_kuo_d6_initial_number08245[] = {1, 1, 7, 15, 23, 39, 67, 25, 179, 313, 459, 295, 1103, 1737, 7529, 29463, 104693, 0};
static int joe_kuo_d6_initial_number08246[] = {1, 1, 3, 13, 23, 11, 111, 67, 105, 191, 1967, 3497, 7621, 487, 18545, 59521, 115315, 0};
static int joe_kuo_d6_initial_number08247[] = {1, 1, 1, 7, 25, 45, 83, 61, 231, 569, 155, 2817, 6985, 5289, 6731, 3087, 89749, 0};
static int joe_kuo_d6_initial_number08248[] = {1, 3, 7, 1, 1, 61, 103, 49, 135, 411, 659, 1735, 4461, 8077, 12885, 62791, 114769, 0};
static int joe_kuo_d6_initial_number08249[] = {1, 1, 7, 13, 3, 53, 21, 81, 433, 563, 857, 891, 195, 11669, 24769, 56539, 47601, 0};
static int joe_kuo_d6_initial_number08250[] = {1, 3, 1, 13, 3, 41, 59, 101, 67, 803, 1209, 3267, 1255, 5763, 5483, 36339, 38451, 0};
static int joe_kuo_d6_initial_number08251[] = {1, 3, 5, 3, 25, 51, 53, 213, 329, 11, 483, 81, 2151, 7623, 26309, 15289, 85103, 0};
static int joe_kuo_d6_initial_number08252[] = {1, 3, 3, 13, 23, 17, 9, 161, 417, 207, 39, 3615, 7567, 15207, 20383, 58885, 121765, 0};
static int joe_kuo_d6_initial_number08253[] = {1, 3, 1, 7, 15, 59, 9, 195, 187, 583, 341, 2737, 3891, 331, 18055, 60455, 113271, 0};
static int joe_kuo_d6_initial_number08254[] = {1, 1, 3, 3, 19, 25, 95, 37, 281, 59, 1613, 2733, 5715, 4067, 5509, 5851, 35189, 0};
static int joe_kuo_d6_initial_number08255[] = {1, 3, 1, 3, 31, 43, 125, 107, 341, 109, 1991, 849, 7795, 13607, 20421, 3339, 78979, 0};
static int joe_kuo_d6_initial_number08256[] = {1, 3, 7, 13, 15, 57, 87, 151, 479, 99, 479, 447, 7407, 303, 16397, 15699, 122273, 0};
static int joe_kuo_d6_initial_number08257[] = {1, 1, 3, 1, 27, 61, 79, 195, 5, 839, 1411, 3451, 4627, 13715, 18401, 24325, 44027, 0};
static int joe_kuo_d6_initial_number08258[] = {1, 1, 7, 15, 21, 39, 57, 207, 213, 367, 547, 1203, 6385, 2555, 31465, 15675, 7133, 0};
static int joe_kuo_d6_initial_number08259[] = {1, 1, 5, 15, 27, 3, 75, 123, 337, 1019, 1525, 3065, 1919, 10779, 27409, 6291, 86291, 0};
static int joe_kuo_d6_initial_number08260[] = {1, 1, 7, 11, 15, 27, 67, 145, 125, 521, 647, 2957, 6337, 14973, 24139, 29107, 27151, 0};
static int joe_kuo_d6_initial_number08261[] = {1, 1, 1, 13, 25, 57, 103, 83, 321, 111, 131, 2051, 5267, 4723, 1939, 40389, 4803, 0};
static int joe_kuo_d6_initial_number08262[] = {1, 3, 1, 7, 29, 7, 35, 133, 349, 855, 613, 2563, 2261, 2119, 13939, 24727, 26719, 0};
static int joe_kuo_d6_initial_number08263[] = {1, 3, 3, 1, 11, 61, 25, 177, 427, 1005, 2027, 649, 7871, 7803, 4717, 59207, 57945, 0};
static int joe_kuo_d6_initial_number08264[] = {1, 1, 7, 1, 15, 45, 75, 133, 193, 745, 485, 197, 6001, 13837, 615, 43629, 127321, 0};
static int joe_kuo_d6_initial_number08265[] = {1, 3, 3, 13, 5, 7, 101, 183, 211, 283, 1327, 1395, 8175, 13359, 18361, 54243, 3555, 0};
static int joe_kuo_d6_initial_number08266[] = {1, 1, 7, 13, 7, 43, 19, 41, 319, 701, 795, 1407, 7113, 9149, 31953, 17075, 53975, 0};
static int joe_kuo_d6_initial_number08267[] = {1, 3, 5, 13, 11, 19, 101, 125, 327, 75, 1471, 3465, 2247, 5107, 11519, 45161, 71373, 0};
static int joe_kuo_d6_initial_number08268[] = {1, 3, 7, 13, 23, 59, 53, 57, 137, 575, 59, 3829, 963, 11259, 25771, 29223, 79535, 0};
static int joe_kuo_d6_initial_number08269[] = {1, 3, 3, 11, 17, 31, 111, 147, 499, 441, 1385, 769, 6901, 8349, 1427, 16561, 7485, 0};
static int joe_kuo_d6_initial_number08270[] = {1, 1, 7, 9, 21, 7, 47, 83, 351, 867, 265, 1329, 7853, 6959, 11821, 44947, 42275, 0};
static int joe_kuo_d6_initial_number08271[] = {1, 1, 7, 15, 3, 17, 79, 143, 449, 577, 1007, 1101, 3229, 6861, 23921, 37551, 117309, 0};
static int joe_kuo_d6_initial_number08272[] = {1, 3, 5, 11, 27, 63, 107, 15, 289, 821, 1723, 1945, 1373, 14469, 30985, 55987, 21255, 0};
static int joe_kuo_d6_initial_number08273[] = {1, 3, 5, 3, 21, 39, 79, 85, 485, 733, 2031, 1573, 6873, 12225, 30471, 54233, 26967, 0};
static int joe_kuo_d6_initial_number08274[] = {1, 3, 5, 7, 17, 29, 93, 251, 437, 583, 825, 551, 6545, 10905, 27863, 37037, 52129, 0};
static int joe_kuo_d6_initial_number08275[] = {1, 3, 7, 9, 23, 1, 23, 85, 195, 319, 1759, 3985, 2413, 16205, 22197, 48821, 94907, 0};
static int joe_kuo_d6_initial_number08276[] = {1, 1, 3, 7, 17, 47, 3, 195, 167, 925, 11, 3431, 1767, 5917, 13915, 54565, 64625, 0};
static int joe_kuo_d6_initial_number08277[] = {1, 3, 1, 13, 23, 43, 97, 93, 313, 773, 591, 127, 6005, 11497, 32573, 8173, 92053, 0};
static int joe_kuo_d6_initial_number08278[] = {1, 1, 5, 9, 17, 47, 115, 237, 389, 619, 377, 561, 1333, 6433, 9743, 32673, 98039, 0};
static int joe_kuo_d6_initial_number08279[] = {1, 3, 7, 15, 23, 17, 99, 225, 145, 191, 2041, 581, 841, 9377, 18123, 32773, 66849, 0};
static int joe_kuo_d6_initial_number08280[] = {1, 3, 7, 15, 21, 49, 97, 41, 357, 527, 2019, 2083, 2611, 12449, 20037, 52503, 105991, 0};
static int joe_kuo_d6_initial_number08281[] = {1, 1, 5, 13, 17, 53, 41, 75, 355, 207, 1675, 591, 5797, 9217, 16443, 3205, 81905, 0};
static int joe_kuo_d6_initial_number08282[] = {1, 3, 7, 11, 1, 61, 29, 207, 449, 103, 1527, 2327, 7895, 10137, 25223, 51607, 60809, 0};
static int joe_kuo_d6_initial_number08283[] = {1, 3, 3, 5, 15, 57, 87, 233, 301, 989, 485, 2143, 7411, 5475, 23377, 56005, 59721, 0};
static int joe_kuo_d6_initial_number08284[] = {1, 3, 1, 15, 29, 7, 95, 141, 369, 231, 735, 1103, 1565, 11575, 571, 3257, 62961, 0};
static int joe_kuo_d6_initial_number08285[] = {1, 1, 5, 15, 27, 19, 25, 35, 303, 555, 95, 1323, 6139, 5079, 21763, 59591, 103537, 0};
static int joe_kuo_d6_initial_number08286[] = {1, 1, 1, 13, 25, 23, 85, 151, 135, 349, 1753, 1061, 7697, 1723, 5213, 12581, 103995, 0};
static int joe_kuo_d6_initial_number08287[] = {1, 3, 1, 9, 29, 51, 101, 195, 59, 809, 1527, 2179, 63, 3681, 29823, 57537, 121371, 0};
static int joe_kuo_d6_initial_number08288[] = {1, 1, 7, 11, 27, 61, 85, 213, 245, 261, 1649, 2423, 6127, 5687, 4247, 56061, 109793, 0};
static int joe_kuo_d6_initial_number08289[] = {1, 3, 5, 15, 11, 33, 127, 31, 269, 857, 2027, 2611, 1729, 11783, 16459, 31083, 30671, 0};
static int joe_kuo_d6_initial_number08290[] = {1, 1, 7, 9, 11, 29, 127, 177, 505, 227, 1499, 1309, 6855, 9999, 21815, 32987, 79109, 0};
static int joe_kuo_d6_initial_number08291[] = {1, 3, 7, 11, 7, 21, 107, 1, 493, 459, 867, 3199, 7985, 12957, 28197, 41133, 105985, 0};
static int joe_kuo_d6_initial_number08292[] = {1, 1, 3, 15, 1, 57, 113, 97, 213, 547, 1017, 2961, 461, 16125, 10621, 4243, 58277, 0};
static int joe_kuo_d6_initial_number08293[] = {1, 1, 3, 5, 11, 57, 61, 47, 209, 961, 333, 795, 4491, 15115, 25745, 62633, 66269, 0};
static int joe_kuo_d6_initial_number08294[] = {1, 1, 7, 3, 19, 13, 49, 167, 455, 863, 581, 1407, 4247, 15023, 2247, 19981, 125891, 0};
static int joe_kuo_d6_initial_number08295[] = {1, 1, 7, 15, 17, 55, 27, 35, 33, 349, 879, 1781, 1075, 2475, 30689, 42043, 29423, 0};
static int joe_kuo_d6_initial_number08296[] = {1, 1, 1, 11, 25, 53, 121, 117, 117, 845, 447, 3927, 1951, 8643, 24497, 44833, 99533, 0};
static int joe_kuo_d6_initial_number08297[] = {1, 1, 7, 13, 3, 59, 117, 9, 359, 453, 327, 3419, 5957, 97, 20541, 49441, 5673, 0};
static int joe_kuo_d6_initial_number08298[] = {1, 3, 5, 5, 31, 35, 95, 107, 435, 733, 827, 1361, 6627, 8905, 2681, 25473, 46093, 0};
static int joe_kuo_d6_initial_number08299[] = {1, 3, 3, 5, 7, 23, 75, 137, 231, 915, 637, 2963, 4409, 12799, 31587, 65363, 69539, 0};
static int joe_kuo_d6_initial_number08300[] = {1, 1, 1, 7, 15, 35, 19, 233, 189, 837, 243, 2525, 6185, 565, 8133, 4265, 3089, 0};
static int joe_kuo_d6_initial_number08301[] = {1, 1, 5, 5, 19, 59, 103, 201, 287, 449, 21, 2331, 341, 13145, 18607, 46407, 2767, 0};
static int joe_kuo_d6_initial_number08302[] = {1, 3, 3, 15, 19, 41, 49, 179, 109, 367, 1185, 1045, 1635, 9647, 16613, 25357, 34291, 0};
static int joe_kuo_d6_initial_number08303[] = {1, 3, 5, 1, 13, 11, 89, 25, 159, 637, 1979, 549, 3553, 9163, 227, 50553, 46307, 0};
static int joe_kuo_d6_initial_number08304[] = {1, 1, 3, 1, 17, 33, 73, 239, 261, 751, 1267, 2643, 2549, 8331, 25083, 9715, 67289, 0};
static int joe_kuo_d6_initial_number08305[] = {1, 1, 1, 13, 3, 49, 7, 35, 367, 293, 903, 1045, 569, 6017, 27635, 51833, 32963, 0};
static int joe_kuo_d6_initial_number08306[] = {1, 3, 5, 3, 31, 3, 69, 137, 57, 87, 719, 3977, 3031, 7675, 24605, 8757, 93173, 0};
static int joe_kuo_d6_initial_number08307[] = {1, 3, 3, 1, 7, 45, 97, 35, 233, 69, 1525, 4047, 2599, 13679, 4389, 49079, 121465, 0};
static int joe_kuo_d6_initial_number08308[] = {1, 1, 7, 13, 7, 25, 57, 211, 337, 189, 1825, 2451, 7651, 11277, 27763, 40671, 57223, 0};
static int joe_kuo_d6_initial_number08309[] = {1, 1, 1, 1, 15, 59, 55, 169, 461, 907, 407, 803, 3349, 4727, 20983, 47717, 51647, 0};
static int joe_kuo_d6_initial_number08310[] = {1, 3, 7, 1, 15, 51, 25, 119, 439, 593, 1289, 3959, 5489, 13283, 31837, 8441, 58373, 0};
static int joe_kuo_d6_initial_number08311[] = {1, 3, 1, 9, 5, 1, 81, 45, 13, 537, 1091, 3861, 6781, 5679, 2807, 29757, 40917, 0};
static int joe_kuo_d6_initial_number08312[] = {1, 3, 5, 3, 27, 41, 19, 235, 207, 697, 775, 837, 3431, 3175, 10807, 42775, 67987, 0};
static int joe_kuo_d6_initial_number08313[] = {1, 3, 7, 3, 29, 33, 35, 119, 271, 609, 1747, 2839, 3415, 2275, 30979, 41293, 99341, 0};
static int joe_kuo_d6_initial_number08314[] = {1, 3, 3, 3, 5, 17, 13, 169, 269, 709, 1449, 3169, 1545, 16075, 8937, 39705, 19609, 0};
static int joe_kuo_d6_initial_number08315[] = {1, 3, 5, 15, 29, 13, 1, 199, 65, 385, 977, 797, 1181, 10979, 241, 40393, 73663, 0};
static int joe_kuo_d6_initial_number08316[] = {1, 1, 3, 7, 17, 35, 47, 63, 193, 451, 151, 3415, 99, 14557, 26025, 31361, 112639, 0};
static int joe_kuo_d6_initial_number08317[] = {1, 1, 3, 5, 19, 13, 29, 33, 365, 311, 1241, 217, 6205, 13067, 18585, 21693, 97127, 0};
static int joe_kuo_d6_initial_number08318[] = {1, 1, 3, 15, 19, 7, 87, 25, 91, 13, 1839, 1445, 957, 9779, 25557, 37027, 38987, 0};
static int joe_kuo_d6_initial_number08319[] = {1, 1, 5, 1, 21, 5, 79, 67, 481, 455, 37, 1321, 7723, 1413, 7919, 11035, 5739, 0};
static int joe_kuo_d6_initial_number08320[] = {1, 1, 1, 15, 9, 55, 111, 1, 383, 439, 1037, 4055, 4243, 10443, 26737, 21039, 130847, 0};
static int joe_kuo_d6_initial_number08321[] = {1, 1, 7, 9, 13, 25, 71, 137, 307, 717, 1009, 2477, 3861, 14145, 14549, 59589, 93401, 0};
static int joe_kuo_d6_initial_number08322[] = {1, 1, 7, 5, 29, 63, 77, 49, 471, 267, 1457, 1743, 1915, 14793, 17899, 28011, 92183, 0};
static int joe_kuo_d6_initial_number08323[] = {1, 3, 7, 7, 7, 41, 47, 251, 75, 749, 1915, 1015, 5869, 3211, 24097, 14349, 130571, 0};
static int joe_kuo_d6_initial_number08324[] = {1, 1, 1, 1, 31, 63, 105, 83, 345, 147, 975, 135, 7299, 15801, 19311, 26143, 80293, 0};
static int joe_kuo_d6_initial_number08325[] = {1, 1, 3, 1, 7, 1, 47, 45, 251, 635, 583, 3515, 5233, 6281, 7797, 37949, 75877, 0};
static int joe_kuo_d6_initial_number08326[] = {1, 1, 3, 3, 5, 53, 99, 175, 155, 327, 1841, 211, 2811, 16099, 17255, 34253, 124141, 0};
static int joe_kuo_d6_initial_number08327[] = {1, 3, 1, 3, 13, 27, 81, 217, 115, 245, 101, 1641, 29, 1441, 4829, 28399, 102303, 0};
static int joe_kuo_d6_initial_number08328[] = {1, 3, 1, 5, 11, 55, 31, 91, 337, 203, 987, 977, 4929, 14933, 25149, 20493, 19783, 0};
static int joe_kuo_d6_initial_number08329[] = {1, 1, 5, 9, 9, 37, 103, 211, 349, 165, 1421, 3015, 5133, 4615, 28173, 45787, 10711, 0};
static int joe_kuo_d6_initial_number08330[] = {1, 1, 1, 1, 1, 17, 29, 117, 421, 651, 1617, 1677, 7841, 16303, 8843, 1321, 90701, 0};
static int joe_kuo_d6_initial_number08331[] = {1, 1, 1, 15, 27, 23, 49, 195, 139, 319, 1277, 901, 63, 14677, 21815, 19497, 24883, 0};
static int joe_kuo_d6_initial_number08332[] = {1, 3, 3, 13, 1, 23, 17, 189, 293, 765, 1503, 1485, 7427, 11807, 17629, 61739, 111365, 0};
static int joe_kuo_d6_initial_number08333[] = {1, 1, 5, 5, 15, 41, 25, 53, 221, 449, 1597, 2763, 4119, 6319, 17509, 23493, 104707, 0};
static int joe_kuo_d6_initial_number08334[] = {1, 3, 7, 11, 29, 21, 101, 197, 161, 457, 331, 3817, 5139, 14307, 23225, 55567, 62535, 0};
static int joe_kuo_d6_initial_number08335[] = {1, 1, 7, 5, 9, 57, 39, 101, 5, 847, 1311, 313, 2877, 14811, 21969, 31741, 8075, 0};
static int joe_kuo_d6_initial_number08336[] = {1, 3, 5, 3, 1, 11, 45, 163, 251, 775, 1031, 1957, 1631, 1691, 3191, 6255, 13037, 0};
static int joe_kuo_d6_initial_number08337[] = {1, 1, 3, 13, 7, 11, 95, 97, 409, 835, 707, 1579, 2409, 9451, 15069, 62425, 106499, 0};
static int joe_kuo_d6_initial_number08338[] = {1, 3, 3, 11, 5, 25, 23, 207, 429, 299, 537, 1467, 6309, 891, 15009, 56733, 60397, 0};
static int joe_kuo_d6_initial_number08339[] = {1, 3, 5, 3, 29, 47, 95, 115, 207, 177, 543, 427, 145, 11169, 7441, 10911, 87413, 0};
static int joe_kuo_d6_initial_number08340[] = {1, 3, 7, 11, 25, 53, 15, 225, 115, 295, 919, 39, 513, 9989, 11045, 24015, 102387, 0};
static int joe_kuo_d6_initial_number08341[] = {1, 1, 7, 15, 13, 31, 103, 143, 357, 825, 183, 137, 2671, 9803, 14777, 48333, 79483, 0};
static int joe_kuo_d6_initial_number08342[] = {1, 3, 5, 1, 25, 13, 65, 9, 461, 307, 1289, 1035, 7253, 14223, 16829, 23361, 84987, 0};
static int joe_kuo_d6_initial_number08343[] = {1, 3, 5, 7, 5, 57, 47, 251, 5, 9, 965, 2883, 3105, 13931, 807, 31977, 119035, 0};
static int joe_kuo_d6_initial_number08344[] = {1, 1, 3, 5, 3, 7, 55, 165, 3, 787, 1587, 989, 6049, 14021, 30789, 15283, 92851, 0};
static int joe_kuo_d6_initial_number08345[] = {1, 1, 5, 5, 3, 17, 11, 167, 487, 885, 193, 3485, 8179, 9485, 24913, 40267, 70625, 0};
static int joe_kuo_d6_initial_number08346[] = {1, 1, 7, 1, 27, 31, 9, 139, 73, 137, 783, 321, 691, 6157, 19905, 45525, 84877, 0};
static int joe_kuo_d6_initial_number08347[] = {1, 3, 1, 9, 17, 39, 127, 177, 301, 579, 1065, 3899, 281, 9177, 16295, 51217, 120293, 0};
static int joe_kuo_d6_initial_number08348[] = {1, 1, 7, 9, 31, 59, 17, 93, 247, 779, 847, 1183, 3453, 1073, 18597, 2655, 121633, 0};
static int joe_kuo_d6_initial_number08349[] = {1, 1, 7, 1, 25, 43, 47, 253, 23, 999, 973, 1201, 1061, 5947, 5619, 36311, 1545, 0};
static int joe_kuo_d6_initial_number08350[] = {1, 3, 5, 7, 11, 5, 103, 119, 229, 657, 1993, 1991, 1597, 13165, 19137, 7161, 83487, 0};
static int joe_kuo_d6_initial_number08351[] = {1, 1, 1, 1, 11, 23, 105, 183, 467, 83, 899, 2447, 4949, 4171, 28943, 4829, 13033, 0};
static int joe_kuo_d6_initial_number08352[] = {1, 3, 1, 7, 15, 7, 47, 215, 253, 109, 1975, 3337, 1553, 13575, 16835, 61525, 26423, 0};
static int joe_kuo_d6_initial_number08353[] = {1, 1, 7, 1, 21, 17, 53, 79, 175, 267, 999, 249, 6177, 10453, 12475, 59801, 47351, 0};
static int joe_kuo_d6_initial_number08354[] = {1, 3, 5, 11, 3, 57, 5, 193, 421, 799, 1833, 2635, 6537, 4669, 9597, 40661, 12113, 0};
static int joe_kuo_d6_initial_number08355[] = {1, 1, 7, 11, 9, 11, 69, 103, 139, 167, 159, 2469, 703, 1519, 21553, 62875, 60449, 0};
static int joe_kuo_d6_initial_number08356[] = {1, 1, 5, 3, 9, 11, 17, 183, 499, 301, 1275, 605, 7655, 12141, 7783, 39413, 116263, 0};
static int joe_kuo_d6_initial_number08357[] = {1, 1, 1, 7, 31, 55, 23, 79, 49, 247, 761, 3573, 8187, 4879, 27379, 15725, 81415, 0};
static int joe_kuo_d6_initial_number08358[] = {1, 3, 5, 5, 5, 49, 23, 205, 509, 383, 1165, 3839, 7663, 1539, 19967, 55901, 4351, 0};
static int joe_kuo_d6_initial_number08359[] = {1, 1, 1, 11, 7, 15, 3, 159, 235, 735, 391, 2231, 5043, 9759, 4569, 35601, 71989, 0};
static int joe_kuo_d6_initial_number08360[] = {1, 3, 3, 15, 23, 3, 49, 97, 99, 517, 1097, 3517, 1035, 2319, 27705, 25547, 101555, 0};
static int joe_kuo_d6_initial_number08361[] = {1, 3, 7, 11, 27, 29, 33, 241, 205, 113, 291, 1993, 3277, 13155, 1039, 42367, 130477, 0};
static int joe_kuo_d6_initial_number08362[] = {1, 1, 1, 3, 29, 19, 15, 159, 35, 153, 1177, 3011, 6271, 8203, 8971, 19183, 102871, 0};
static int joe_kuo_d6_initial_number08363[] = {1, 1, 1, 5, 5, 51, 19, 175, 209, 895, 229, 2355, 499, 7877, 4935, 22737, 35587, 0};
static int joe_kuo_d6_initial_number08364[] = {1, 3, 7, 11, 15, 9, 7, 113, 41, 835, 1593, 3933, 7165, 10959, 15487, 30019, 114505, 0};
static int joe_kuo_d6_initial_number08365[] = {1, 1, 7, 5, 31, 21, 27, 11, 421, 165, 1605, 1859, 29, 13051, 3273, 3893, 56089, 0};
static int joe_kuo_d6_initial_number08366[] = {1, 3, 5, 5, 17, 51, 55, 187, 401, 977, 95, 2617, 727, 9609, 5075, 48989, 120299, 0};
static int joe_kuo_d6_initial_number08367[] = {1, 1, 5, 7, 21, 31, 127, 87, 379, 125, 247, 3607, 2555, 11873, 32535, 16677, 122273, 0};
static int joe_kuo_d6_initial_number08368[] = {1, 1, 1, 5, 19, 21, 51, 185, 203, 145, 1073, 167, 235, 12753, 17315, 14683, 44101, 0};
static int joe_kuo_d6_initial_number08369[] = {1, 3, 3, 1, 5, 61, 71, 17, 63, 151, 823, 17, 5315, 4861, 17279, 23049, 84971, 0};
static int joe_kuo_d6_initial_number08370[] = {1, 3, 3, 5, 21, 63, 21, 235, 295, 467, 1661, 2487, 335, 6107, 28709, 55875, 129085, 0};
static int joe_kuo_d6_initial_number08371[] = {1, 3, 3, 5, 1, 55, 35, 187, 5, 687, 1633, 2999, 4513, 10105, 15249, 22591, 102857, 0};
static int joe_kuo_d6_initial_number08372[] = {1, 3, 1, 5, 19, 1, 113, 27, 261, 623, 831, 3011, 4091, 11967, 17191, 17433, 99925, 0};
static int joe_kuo_d6_initial_number08373[] = {1, 3, 5, 5, 25, 59, 81, 249, 463, 523, 183, 3049, 3675, 2705, 28379, 1279, 25579, 0};
static int joe_kuo_d6_initial_number08374[] = {1, 1, 3, 9, 19, 19, 71, 127, 189, 613, 647, 1449, 7755, 1415, 9067, 30683, 79703, 0};
static int joe_kuo_d6_initial_number08375[] = {1, 1, 7, 1, 27, 33, 61, 135, 233, 633, 1969, 2245, 5841, 14069, 6497, 63617, 101483, 0};
static int joe_kuo_d6_initial_number08376[] = {1, 3, 3, 9, 23, 3, 17, 163, 309, 741, 2023, 2647, 5847, 7871, 22311, 38377, 70663, 0};
static int joe_kuo_d6_initial_number08377[] = {1, 3, 5, 15, 31, 33, 51, 243, 209, 273, 1305, 1599, 6115, 6249, 8639, 5903, 17215, 0};
static int joe_kuo_d6_initial_number08378[] = {1, 1, 1, 1, 21, 11, 107, 185, 463, 435, 149, 3789, 6283, 1327, 20893, 10417, 78673, 0};
static int joe_kuo_d6_initial_number08379[] = {1, 1, 1, 13, 5, 53, 121, 129, 493, 419, 1711, 2765, 7673, 8979, 25845, 62759, 9669, 0};
static int joe_kuo_d6_initial_number08380[] = {1, 3, 5, 5, 1, 39, 123, 47, 449, 639, 625, 2355, 511, 1685, 1415, 32417, 76529, 0};
static int joe_kuo_d6_initial_number08381[] = {1, 3, 1, 11, 1, 49, 67, 237, 203, 967, 1401, 2773, 4951, 13889, 14147, 41031, 71897, 0};
static int joe_kuo_d6_initial_number08382[] = {1, 3, 5, 11, 13, 49, 17, 113, 315, 207, 1057, 3395, 6151, 2767, 16571, 1811, 66403, 0};
static int joe_kuo_d6_initial_number08383[] = {1, 1, 7, 7, 29, 63, 49, 115, 327, 987, 1853, 3355, 8139, 2703, 30039, 51343, 86999, 0};
static int joe_kuo_d6_initial_number08384[] = {1, 1, 3, 9, 1, 3, 45, 35, 509, 483, 159, 1795, 8023, 6989, 3755, 20887, 13587, 0};
static int joe_kuo_d6_initial_number08385[] = {1, 1, 3, 7, 1, 27, 39, 159, 283, 843, 317, 3229, 2297, 15031, 22039, 21721, 70583, 0};
static int joe_kuo_d6_initial_number08386[] = {1, 1, 3, 11, 9, 23, 1, 35, 79, 77, 1671, 2583, 647, 12313, 16271, 2959, 108389, 0};
static int joe_kuo_d6_initial_number08387[] = {1, 1, 1, 7, 5, 55, 1, 233, 429, 231, 833, 1279, 7815, 1051, 30627, 4435, 25997, 0};
static int joe_kuo_d6_initial_number08388[] = {1, 3, 1, 15, 19, 53, 9, 165, 307, 437, 551, 2477, 1841, 11799, 18477, 5871, 20065, 0};
static int joe_kuo_d6_initial_number08389[] = {1, 1, 1, 1, 21, 5, 65, 41, 77, 909, 93, 751, 2973, 7341, 30427, 60075, 71457, 0};
static int joe_kuo_d6_initial_number08390[] = {1, 1, 3, 11, 25, 51, 49, 63, 165, 263, 1915, 747, 8053, 6361, 4843, 20189, 110147, 0};
static int joe_kuo_d6_initial_number08391[] = {1, 3, 1, 9, 29, 9, 45, 177, 415, 557, 1555, 2967, 1239, 8115, 12853, 19193, 73681, 0};
static int joe_kuo_d6_initial_number08392[] = {1, 1, 5, 5, 11, 5, 51, 157, 325, 517, 1601, 3911, 1487, 13631, 7483, 61515, 48937, 0};
static int joe_kuo_d6_initial_number08393[] = {1, 3, 7, 5, 29, 31, 107, 47, 437, 837, 1791, 477, 1717, 7, 25855, 48793, 16385, 0};
static int joe_kuo_d6_initial_number08394[] = {1, 1, 1, 3, 29, 49, 31, 255, 233, 935, 1993, 125, 2255, 12785, 2807, 54697, 62591, 0};
static int joe_kuo_d6_initial_number08395[] = {1, 3, 1, 7, 15, 13, 9, 245, 79, 289, 841, 253, 5259, 16123, 29189, 63837, 127915, 0};
static int joe_kuo_d6_initial_number08396[] = {1, 3, 7, 15, 15, 55, 91, 103, 445, 289, 1471, 423, 3387, 15609, 19311, 28993, 23473, 0};
static int joe_kuo_d6_initial_number08397[] = {1, 1, 3, 11, 31, 39, 69, 125, 115, 309, 397, 3417, 5693, 10301, 1489, 25955, 2699, 0};
static int joe_kuo_d6_initial_number08398[] = {1, 3, 3, 5, 13, 21, 51, 207, 239, 311, 1601, 2925, 6285, 9597, 30579, 62957, 6153, 0};
static int joe_kuo_d6_initial_number08399[] = {1, 1, 7, 1, 27, 21, 63, 143, 399, 971, 1385, 1875, 5143, 6423, 6223, 27009, 14237, 0};
static int joe_kuo_d6_initial_number08400[] = {1, 3, 5, 1, 5, 59, 125, 133, 151, 997, 1315, 3007, 8173, 16289, 13409, 839, 103519, 0};
static int joe_kuo_d6_initial_number08401[] = {1, 1, 1, 13, 7, 57, 83, 33, 191, 121, 939, 3927, 6089, 10083, 5903, 52229, 78325, 0};
static int joe_kuo_d6_initial_number08402[] = {1, 1, 3, 5, 9, 61, 43, 107, 279, 135, 1109, 3779, 5305, 15333, 12217, 41257, 20265, 0};
static int joe_kuo_d6_initial_number08403[] = {1, 3, 7, 1, 31, 59, 83, 43, 219, 119, 511, 2973, 4587, 10701, 30959, 21489, 124077, 0};
static int joe_kuo_d6_initial_number08404[] = {1, 1, 7, 9, 17, 3, 59, 151, 281, 209, 1405, 173, 3589, 7679, 29803, 53947, 68291, 0};
static int joe_kuo_d6_initial_number08405[] = {1, 1, 7, 7, 5, 19, 53, 91, 1, 513, 1495, 231, 3627, 1115, 16121, 12953, 108343, 0};
static int joe_kuo_d6_initial_number08406[] = {1, 3, 1, 13, 17, 3, 35, 35, 211, 481, 2029, 1035, 3131, 5653, 18097, 10735, 102453, 0};
static int joe_kuo_d6_initial_number08407[] = {1, 3, 1, 11, 29, 7, 121, 135, 51, 837, 681, 1497, 7435, 2215, 26527, 33029, 93241, 0};
static int joe_kuo_d6_initial_number08408[] = {1, 3, 3, 15, 29, 43, 17, 243, 195, 315, 499, 3801, 5691, 12119, 4061, 51769, 80497, 0};
static int joe_kuo_d6_initial_number08409[] = {1, 1, 3, 1, 11, 1, 113, 11, 387, 579, 275, 2995, 895, 11859, 4017, 1543, 11853, 0};
static int joe_kuo_d6_initial_number08410[] = {1, 1, 7, 9, 31, 27, 63, 217, 97, 275, 435, 1355, 5205, 6587, 32589, 46485, 103587, 0};
static int joe_kuo_d6_initial_number08411[] = {1, 3, 7, 3, 7, 19, 51, 41, 81, 261, 1909, 1475, 425, 3173, 5679, 34701, 34977, 0};
static int joe_kuo_d6_initial_number08412[] = {1, 1, 7, 3, 27, 15, 35, 49, 387, 471, 1997, 3643, 2701, 11853, 21311, 36027, 104357, 0};
static int joe_kuo_d6_initial_number08413[] = {1, 3, 1, 9, 5, 47, 73, 163, 309, 891, 229, 2433, 6715, 6721, 25233, 37043, 29367, 0};
static int joe_kuo_d6_initial_number08414[] = {1, 1, 1, 7, 27, 15, 9, 185, 421, 597, 565, 143, 1531, 15585, 17057, 54309, 82915, 0};
static int joe_kuo_d6_initial_number08415[] = {1, 1, 7, 1, 5, 43, 87, 61, 121, 341, 25, 3795, 7161, 11985, 32197, 789, 69543, 0};
static int joe_kuo_d6_initial_number08416[] = {1, 3, 5, 13, 29, 39, 81, 39, 263, 729, 1833, 365, 1073, 9869, 1845, 52621, 5, 0};
static int joe_kuo_d6_initial_number08417[] = {1, 1, 7, 7, 5, 33, 117, 11, 371, 161, 1303, 629, 2285, 5827, 32355, 43359, 115595, 0};
static int joe_kuo_d6_initial_number08418[] = {1, 3, 5, 5, 13, 57, 63, 9, 243, 533, 173, 2197, 717, 13441, 22131, 17783, 3319, 0};
static int joe_kuo_d6_initial_number08419[] = {1, 1, 7, 11, 15, 31, 87, 255, 183, 273, 805, 2347, 5881, 15401, 273, 17397, 41827, 0};
static int joe_kuo_d6_initial_number08420[] = {1, 3, 1, 13, 7, 17, 121, 49, 47, 121, 333, 3629, 5337, 4117, 2735, 36581, 61345, 0};
static int joe_kuo_d6_initial_number08421[] = {1, 3, 3, 11, 9, 7, 25, 223, 379, 119, 385, 1217, 4803, 2947, 30665, 7733, 77893, 0};
static int joe_kuo_d6_initial_number08422[] = {1, 3, 3, 7, 31, 35, 127, 97, 5, 373, 7, 3035, 843, 5991, 9265, 34289, 42785, 0};
static int joe_kuo_d6_initial_number08423[] = {1, 3, 7, 3, 27, 19, 95, 253, 349, 871, 807, 413, 5847, 10467, 4277, 12429, 75773, 0};
static int joe_kuo_d6_initial_number08424[] = {1, 3, 3, 7, 21, 1, 79, 89, 219, 505, 41, 505, 5159, 12839, 3317, 49873, 73705, 0};
static int joe_kuo_d6_initial_number08425[] = {1, 3, 1, 7, 21, 43, 121, 113, 477, 559, 1831, 3759, 3315, 6367, 7149, 16395, 44703, 0};
static int joe_kuo_d6_initial_number08426[] = {1, 1, 1, 7, 13, 53, 35, 53, 489, 975, 631, 863, 3067, 1905, 21351, 14705, 80041, 0};
static int joe_kuo_d6_initial_number08427[] = {1, 1, 1, 5, 13, 27, 121, 65, 351, 123, 1731, 367, 8061, 5229, 8537, 20897, 130373, 0};
static int joe_kuo_d6_initial_number08428[] = {1, 1, 5, 11, 15, 63, 101, 107, 105, 619, 1771, 3549, 7191, 9083, 16827, 29639, 34219, 0};
static int joe_kuo_d6_initial_number08429[] = {1, 3, 1, 9, 15, 13, 87, 157, 379, 433, 217, 815, 5079, 1797, 26707, 35165, 92305, 0};
static int joe_kuo_d6_initial_number08430[] = {1, 1, 5, 13, 27, 35, 31, 65, 313, 629, 375, 1391, 5373, 3497, 7311, 23105, 45293, 0};
static int joe_kuo_d6_initial_number08431[] = {1, 3, 1, 3, 5, 39, 91, 37, 401, 419, 949, 2431, 3685, 6671, 20789, 8597, 44215, 0};
static int joe_kuo_d6_initial_number08432[] = {1, 1, 7, 11, 7, 15, 3, 181, 363, 913, 309, 2009, 3805, 6651, 27677, 37711, 40813, 0};
static int joe_kuo_d6_initial_number08433[] = {1, 3, 5, 5, 17, 11, 47, 9, 27, 459, 773, 1403, 7069, 12651, 8163, 42425, 126697, 0};
static int joe_kuo_d6_initial_number08434[] = {1, 3, 1, 3, 11, 21, 65, 103, 405, 843, 59, 3653, 1759, 5265, 401, 58019, 124999, 0};
static int joe_kuo_d6_initial_number08435[] = {1, 1, 3, 7, 11, 25, 61, 211, 199, 849, 1835, 1181, 5003, 3873, 23743, 45451, 54901, 0};
static int joe_kuo_d6_initial_number08436[] = {1, 3, 5, 3, 29, 25, 43, 199, 481, 991, 699, 3937, 7601, 1253, 24399, 6625, 93917, 0};
static int joe_kuo_d6_initial_number08437[] = {1, 1, 7, 3, 29, 33, 33, 151, 3, 825, 743, 773, 7825, 8157, 22121, 50095, 16435, 0};
static int joe_kuo_d6_initial_number08438[] = {1, 3, 1, 1, 27, 15, 81, 151, 271, 167, 1755, 1289, 7473, 8525, 12525, 63139, 48787, 0};
static int joe_kuo_d6_initial_number08439[] = {1, 1, 7, 13, 27, 33, 87, 125, 211, 631, 149, 3451, 643, 6975, 2659, 12629, 33187, 0};
static int joe_kuo_d6_initial_number08440[] = {1, 1, 3, 3, 5, 49, 99, 99, 85, 647, 351, 2829, 7005, 7283, 5857, 46157, 52061, 0};
static int joe_kuo_d6_initial_number08441[] = {1, 1, 3, 5, 11, 37, 43, 129, 21, 639, 187, 2279, 8189, 12877, 28707, 7133, 93639, 0};
static int joe_kuo_d6_initial_number08442[] = {1, 1, 3, 7, 19, 13, 35, 51, 77, 811, 1553, 2769, 763, 4965, 4643, 37639, 44229, 0};
static int joe_kuo_d6_initial_number08443[] = {1, 3, 5, 15, 11, 29, 103, 203, 435, 1017, 531, 1453, 1407, 6569, 619, 52103, 45213, 0};
static int joe_kuo_d6_initial_number08444[] = {1, 1, 7, 5, 25, 25, 47, 229, 201, 843, 473, 2637, 2265, 4627, 20013, 41217, 76095, 0};
static int joe_kuo_d6_initial_number08445[] = {1, 3, 3, 15, 23, 61, 109, 31, 57, 595, 1303, 3915, 67, 8205, 3553, 9543, 103385, 0};
static int joe_kuo_d6_initial_number08446[] = {1, 1, 3, 3, 21, 19, 21, 41, 137, 905, 2045, 491, 1783, 151, 20963, 38009, 735, 0};
static int joe_kuo_d6_initial_number08447[] = {1, 1, 7, 11, 13, 33, 95, 251, 179, 211, 1687, 3189, 6213, 3905, 2117, 15153, 4855, 0};
static int joe_kuo_d6_initial_number08448[] = {1, 1, 5, 3, 19, 9, 67, 243, 23, 611, 1007, 1317, 7303, 11065, 21157, 56677, 81683, 0};
static int joe_kuo_d6_initial_number08449[] = {1, 1, 3, 5, 19, 41, 63, 129, 233, 15, 37, 1445, 1095, 11309, 30181, 49199, 85113, 0};
static int joe_kuo_d6_initial_number08450[] = {1, 3, 7, 1, 21, 53, 83, 79, 155, 379, 773, 1823, 1003, 2787, 31107, 36115, 40987, 0};
static int joe_kuo_d6_initial_number08451[] = {1, 3, 3, 5, 3, 19, 7, 247, 417, 573, 407, 3577, 6079, 10275, 29791, 35149, 102565, 0};
static int joe_kuo_d6_initial_number08452[] = {1, 3, 3, 9, 21, 49, 57, 223, 125, 671, 655, 2995, 5849, 5355, 21171, 54857, 114841, 0};
static int joe_kuo_d6_initial_number08453[] = {1, 3, 7, 3, 27, 23, 125, 103, 485, 955, 963, 1865, 2321, 2263, 32497, 47973, 122111, 0};
static int joe_kuo_d6_initial_number08454[] = {1, 1, 3, 15, 3, 1, 37, 19, 287, 165, 1717, 851, 3619, 13623, 24295, 48253, 13143, 0};
static int joe_kuo_d6_initial_number08455[] = {1, 1, 7, 9, 13, 59, 69, 97, 113, 163, 871, 1795, 2719, 13675, 11767, 23687, 65841, 0};
static int joe_kuo_d6_initial_number08456[] = {1, 1, 5, 3, 21, 31, 41, 115, 469, 177, 137, 2129, 1385, 10835, 16471, 59411, 30795, 0};
static int joe_kuo_d6_initial_number08457[] = {1, 1, 7, 7, 13, 45, 73, 119, 457, 673, 1481, 3735, 2675, 11413, 9069, 34741, 8757, 0};
static int joe_kuo_d6_initial_number08458[] = {1, 3, 5, 3, 15, 9, 11, 191, 499, 51, 1963, 3957, 1341, 7129, 13491, 65369, 4339, 0};
static int joe_kuo_d6_initial_number08459[] = {1, 3, 7, 1, 5, 45, 103, 209, 183, 205, 525, 2417, 847, 10801, 10699, 16723, 36421, 0};
static int joe_kuo_d6_initial_number08460[] = {1, 3, 7, 13, 3, 57, 37, 75, 299, 359, 2017, 125, 6737, 4859, 18443, 20765, 40319, 0};
static int joe_kuo_d6_initial_number08461[] = {1, 1, 3, 5, 5, 17, 43, 141, 31, 141, 1019, 1685, 6831, 9433, 31245, 29227, 64083, 0};
static int joe_kuo_d6_initial_number08462[] = {1, 3, 1, 13, 25, 47, 107, 69, 459, 595, 1759, 3391, 1531, 15197, 25975, 16971, 70861, 0};
static int joe_kuo_d6_initial_number08463[] = {1, 1, 3, 11, 3, 53, 63, 211, 69, 469, 1407, 1435, 2763, 917, 19943, 16591, 97101, 0};
static int joe_kuo_d6_initial_number08464[] = {1, 3, 5, 13, 25, 41, 39, 61, 319, 809, 1109, 169, 3101, 8801, 21697, 50759, 130985, 0};
static int joe_kuo_d6_initial_number08465[] = {1, 3, 1, 9, 23, 1, 11, 249, 243, 605, 1419, 269, 1601, 2063, 5365, 38077, 106161, 0};
static int joe_kuo_d6_initial_number08466[] = {1, 1, 7, 7, 19, 55, 97, 155, 477, 845, 61, 263, 1337, 8857, 31611, 44417, 43111, 0};
static int joe_kuo_d6_initial_number08467[] = {1, 3, 3, 15, 7, 63, 45, 239, 291, 279, 1875, 3769, 1571, 15857, 13335, 17209, 34399, 0};
static int joe_kuo_d6_initial_number08468[] = {1, 1, 7, 11, 19, 19, 69, 111, 217, 927, 1643, 1077, 4763, 15893, 17491, 39737, 10705, 0};
static int joe_kuo_d6_initial_number08469[] = {1, 1, 5, 11, 3, 3, 31, 199, 109, 403, 973, 3833, 2729, 7285, 26743, 53915, 96203, 0};
static int joe_kuo_d6_initial_number08470[] = {1, 3, 3, 11, 9, 7, 19, 145, 495, 805, 381, 919, 1323, 4343, 15887, 5163, 68267, 0};
static int joe_kuo_d6_initial_number08471[] = {1, 1, 3, 11, 15, 31, 27, 201, 251, 279, 1377, 1313, 7143, 9731, 10451, 63431, 31307, 0};
static int joe_kuo_d6_initial_number08472[] = {1, 1, 7, 1, 1, 55, 35, 249, 133, 645, 425, 279, 6401, 11687, 751, 947, 21791, 0};
static int joe_kuo_d6_initial_number08473[] = {1, 3, 5, 9, 5, 43, 89, 31, 419, 573, 1087, 2197, 3451, 2393, 6569, 4859, 36607, 0};
static int joe_kuo_d6_initial_number08474[] = {1, 3, 5, 15, 25, 51, 11, 149, 483, 789, 661, 967, 3537, 15511, 26587, 29861, 120337, 0};
static int joe_kuo_d6_initial_number08475[] = {1, 3, 5, 13, 21, 39, 75, 111, 57, 321, 1591, 381, 7399, 10807, 26651, 62489, 78341, 0};
static int joe_kuo_d6_initial_number08476[] = {1, 3, 1, 13, 1, 1, 49, 137, 193, 967, 805, 221, 803, 11381, 27803, 51013, 10475, 0};
static int joe_kuo_d6_initial_number08477[] = {1, 3, 7, 5, 3, 13, 47, 195, 123, 753, 397, 1203, 981, 12863, 20845, 36155, 19055, 0};
static int joe_kuo_d6_initial_number08478[] = {1, 1, 1, 9, 9, 11, 53, 203, 3, 163, 1537, 2061, 941, 12629, 16053, 34881, 31489, 0};
static int joe_kuo_d6_initial_number08479[] = {1, 1, 1, 15, 5, 23, 51, 197, 459, 21, 1989, 2529, 4267, 1505, 8951, 15777, 20493, 0};
static int joe_kuo_d6_initial_number08480[] = {1, 1, 7, 3, 31, 55, 9, 55, 217, 695, 1563, 4077, 3207, 7029, 10881, 39581, 82511, 0};
static int joe_kuo_d6_initial_number08481[] = {1, 3, 1, 5, 1, 11, 81, 1, 505, 631, 1093, 3655, 2085, 7349, 5009, 49381, 30527, 0};
static int joe_kuo_d6_initial_number08482[] = {1, 1, 7, 1, 27, 51, 25, 235, 213, 59, 611, 3883, 2909, 6411, 19605, 49001, 114529, 0};
static int joe_kuo_d6_initial_number08483[] = {1, 3, 5, 3, 25, 29, 19, 137, 199, 681, 1625, 2711, 4873, 14677, 9767, 30441, 54673, 0};
static int joe_kuo_d6_initial_number08484[] = {1, 1, 1, 9, 27, 43, 109, 161, 139, 675, 741, 2839, 1425, 5701, 19897, 12787, 33069, 0};
static int joe_kuo_d6_initial_number08485[] = {1, 3, 5, 11, 21, 19, 77, 107, 197, 591, 1899, 1311, 3347, 6369, 26891, 3771, 32455, 0};
static int joe_kuo_d6_initial_number08486[] = {1, 1, 7, 15, 31, 13, 109, 69, 207, 349, 249, 971, 7891, 10919, 31579, 38453, 124601, 0};
static int joe_kuo_d6_initial_number08487[] = {1, 3, 5, 5, 27, 61, 67, 193, 53, 259, 1729, 4033, 2637, 8217, 22351, 4001, 118527, 0};
static int joe_kuo_d6_initial_number08488[] = {1, 1, 3, 5, 9, 45, 55, 73, 189, 131, 1947, 1889, 837, 4085, 10393, 64359, 1037, 0};
static int joe_kuo_d6_initial_number08489[] = {1, 3, 7, 3, 13, 51, 55, 37, 335, 939, 35, 461, 5057, 2595, 3305, 58823, 3941, 0};
static int joe_kuo_d6_initial_number08490[] = {1, 1, 7, 11, 7, 3, 121, 139, 241, 477, 615, 2707, 5391, 7611, 11563, 41083, 16719, 0};
static int joe_kuo_d6_initial_number08491[] = {1, 3, 3, 15, 27, 55, 13, 221, 195, 543, 215, 4035, 1647, 8111, 26425, 43571, 79893, 0};
static int joe_kuo_d6_initial_number08492[] = {1, 1, 1, 5, 31, 5, 35, 145, 481, 339, 1951, 2155, 1309, 9851, 31505, 37371, 21247, 0};
static int joe_kuo_d6_initial_number08493[] = {1, 1, 7, 9, 7, 5, 73, 119, 3, 741, 1351, 2855, 2207, 1465, 12047, 13507, 129173, 0};
static int joe_kuo_d6_initial_number08494[] = {1, 1, 7, 13, 5, 57, 119, 63, 367, 327, 1257, 3191, 6929, 9593, 16565, 54397, 100305, 0};
static int joe_kuo_d6_initial_number08495[] = {1, 3, 1, 11, 9, 1, 85, 53, 65, 945, 17, 1963, 4819, 16173, 11669, 53579, 33701, 0};
static int joe_kuo_d6_initial_number08496[] = {1, 1, 3, 15, 25, 27, 3, 25, 23, 429, 197, 2717, 6107, 6719, 12457, 31793, 78647, 0};
static int joe_kuo_d6_initial_number08497[] = {1, 1, 3, 1, 7, 63, 111, 235, 299, 91, 369, 1423, 7083, 4229, 18535, 33793, 19943, 0};
static int joe_kuo_d6_initial_number08498[] = {1, 1, 7, 13, 9, 11, 123, 9, 169, 895, 1989, 1047, 6139, 11773, 19381, 9593, 14809, 0};
static int joe_kuo_d6_initial_number08499[] = {1, 3, 1, 3, 29, 31, 63, 91, 59, 391, 1695, 2459, 3301, 5615, 3425, 8029, 16069, 0};
static int joe_kuo_d6_initial_number08500[] = {1, 1, 7, 1, 25, 25, 79, 49, 131, 695, 987, 2911, 1109, 8237, 18227, 37287, 22443, 0};
static int joe_kuo_d6_initial_number08501[] = {1, 3, 3, 3, 25, 21, 33, 207, 187, 381, 129, 445, 2967, 5119, 18777, 14849, 97115, 0};
static int joe_kuo_d6_initial_number08502[] = {1, 1, 7, 13, 19, 9, 93, 185, 391, 579, 1509, 3245, 3921, 9473, 4795, 6685, 49549, 0};
static int joe_kuo_d6_initial_number08503[] = {1, 1, 5, 11, 1, 49, 57, 127, 363, 811, 1383, 2869, 7625, 15177, 2581, 64253, 53677, 0};
static int joe_kuo_d6_initial_number08504[] = {1, 1, 7, 3, 7, 27, 73, 187, 31, 1011, 1013, 3269, 6625, 5001, 20805, 13331, 93725, 0};
static int joe_kuo_d6_initial_number08505[] = {1, 3, 7, 1, 23, 61, 123, 9, 141, 113, 1009, 3713, 4947, 9929, 24125, 1101, 104249, 0};
static int joe_kuo_d6_initial_number08506[] = {1, 3, 7, 3, 23, 17, 25, 187, 189, 875, 1435, 163, 4197, 6619, 29031, 23117, 45347, 0};
static int joe_kuo_d6_initial_number08507[] = {1, 1, 5, 7, 11, 17, 9, 55, 117, 223, 417, 3993, 1843, 5817, 20435, 56705, 98337, 0};
static int joe_kuo_d6_initial_number08508[] = {1, 1, 7, 3, 21, 59, 3, 77, 297, 61, 407, 1603, 3209, 1611, 30185, 50275, 56139, 0};
static int joe_kuo_d6_initial_number08509[] = {1, 1, 1, 5, 31, 3, 101, 167, 367, 543, 339, 1885, 7855, 9989, 30969, 6735, 108123, 0};
static int joe_kuo_d6_initial_number08510[] = {1, 1, 3, 9, 27, 63, 9, 79, 335, 351, 673, 3107, 3955, 1799, 16879, 57631, 109073, 0};
static int joe_kuo_d6_initial_number08511[] = {1, 1, 1, 3, 27, 17, 107, 115, 155, 371, 379, 2837, 6213, 2663, 1101, 451, 69517, 0};
static int joe_kuo_d6_initial_number08512[] = {1, 1, 3, 9, 13, 3, 55, 9, 449, 43, 1011, 3281, 5311, 223, 10715, 6639, 79949, 0};
static int joe_kuo_d6_initial_number08513[] = {1, 3, 3, 11, 23, 9, 43, 185, 271, 1005, 1041, 2633, 377, 4247, 10417, 51903, 19239, 0};
static int joe_kuo_d6_initial_number08514[] = {1, 3, 1, 9, 15, 39, 115, 233, 33, 425, 1979, 583, 1901, 8943, 1527, 56065, 50159, 0};
static int joe_kuo_d6_initial_number08515[] = {1, 1, 3, 1, 13, 1, 105, 149, 13, 625, 671, 1811, 3701, 241, 27357, 25835, 127265, 0};
static int joe_kuo_d6_initial_number08516[] = {1, 3, 1, 9, 11, 23, 107, 197, 21, 589, 1065, 2591, 1163, 15013, 8931, 6355, 87079, 0};
static int joe_kuo_d6_initial_number08517[] = {1, 3, 5, 3, 17, 5, 121, 61, 99, 987, 2033, 2237, 2299, 14689, 19785, 9599, 101035, 0};
static int joe_kuo_d6_initial_number08518[] = {1, 1, 1, 1, 17, 25, 5, 97, 55, 75, 1419, 2793, 7215, 3185, 7029, 23023, 89089, 0};
static int joe_kuo_d6_initial_number08519[] = {1, 3, 3, 3, 11, 57, 103, 191, 405, 463, 1421, 253, 6069, 10905, 18193, 719, 17337, 0};
static int joe_kuo_d6_initial_number08520[] = {1, 3, 5, 11, 23, 37, 39, 169, 295, 527, 1671, 3913, 6057, 689, 27719, 47245, 95895, 0};
static int joe_kuo_d6_initial_number08521[] = {1, 3, 7, 5, 13, 9, 43, 189, 411, 155, 559, 3701, 1623, 2401, 10359, 22675, 41897, 0};
static int joe_kuo_d6_initial_number08522[] = {1, 1, 1, 11, 17, 55, 47, 101, 357, 669, 857, 2745, 6425, 11839, 13095, 10757, 52383, 0};
static int joe_kuo_d6_initial_number08523[] = {1, 1, 7, 5, 11, 13, 53, 151, 93, 455, 133, 3353, 1417, 7917, 12913, 2615, 34281, 0};
static int joe_kuo_d6_initial_number08524[] = {1, 1, 3, 5, 29, 57, 43, 35, 203, 423, 311, 3133, 1757, 1291, 2019, 3115, 126939, 0};
static int joe_kuo_d6_initial_number08525[] = {1, 1, 3, 11, 9, 43, 119, 95, 135, 351, 1865, 2821, 717, 6275, 19713, 42315, 97935, 0};
static int joe_kuo_d6_initial_number08526[] = {1, 3, 7, 7, 31, 51, 7, 29, 405, 31, 1765, 3231, 1315, 1307, 26469, 62033, 35619, 0};
static int joe_kuo_d6_initial_number08527[] = {1, 1, 5, 7, 5, 17, 49, 137, 501, 631, 1401, 2851, 6971, 14721, 4329, 26483, 120007, 0};
static int joe_kuo_d6_initial_number08528[] = {1, 1, 5, 13, 21, 19, 95, 93, 125, 331, 1797, 1653, 1891, 11081, 30989, 24671, 95421, 0};
static int joe_kuo_d6_initial_number08529[] = {1, 3, 3, 11, 13, 29, 61, 157, 165, 39, 661, 89, 637, 1397, 12561, 62399, 129107, 0};
static int joe_kuo_d6_initial_number08530[] = {1, 3, 1, 15, 13, 19, 5, 115, 345, 903, 531, 4069, 6775, 7433, 569, 21779, 13271, 0};
static int joe_kuo_d6_initial_number08531[] = {1, 3, 3, 9, 5, 53, 17, 115, 67, 939, 1907, 3979, 4311, 3573, 857, 34931, 112397, 0};
static int joe_kuo_d6_initial_number08532[] = {1, 3, 7, 11, 9, 47, 83, 85, 277, 219, 1701, 3013, 3037, 3473, 3797, 40713, 118573, 0};
static int joe_kuo_d6_initial_number08533[] = {1, 1, 3, 13, 25, 33, 117, 115, 179, 119, 487, 3213, 2873, 17, 20865, 20043, 64381, 0};
static int joe_kuo_d6_initial_number08534[] = {1, 1, 1, 3, 1, 45, 73, 103, 75, 579, 981, 2449, 2141, 8697, 22995, 59693, 104461, 0};
static int joe_kuo_d6_initial_number08535[] = {1, 3, 1, 1, 29, 9, 9, 201, 55, 389, 1069, 2057, 4149, 9217, 10753, 7889, 95849, 0};
static int joe_kuo_d6_initial_number08536[] = {1, 3, 7, 9, 27, 39, 19, 223, 7, 253, 55, 503, 3339, 6049, 32603, 34807, 115403, 0};
static int joe_kuo_d6_initial_number08537[] = {1, 1, 5, 3, 13, 21, 67, 87, 205, 309, 1371, 1579, 281, 16135, 28403, 25951, 24109, 0};
static int joe_kuo_d6_initial_number08538[] = {1, 3, 1, 3, 17, 21, 49, 77, 393, 943, 1701, 2661, 5173, 12875, 2731, 40531, 19301, 0};
static int joe_kuo_d6_initial_number08539[] = {1, 3, 1, 5, 23, 29, 61, 161, 373, 389, 1699, 359, 2513, 4717, 30397, 24395, 20881, 0};
static int joe_kuo_d6_initial_number08540[] = {1, 3, 5, 5, 29, 3, 115, 251, 277, 487, 7, 3301, 7945, 14233, 20497, 62035, 21537, 0};
static int joe_kuo_d6_initial_number08541[] = {1, 1, 1, 9, 7, 59, 23, 85, 367, 109, 1761, 4011, 6535, 8263, 2081, 63647, 69807, 0};
static int joe_kuo_d6_initial_number08542[] = {1, 1, 7, 11, 21, 41, 29, 219, 271, 617, 929, 407, 2899, 14299, 7645, 44815, 58817, 0};
static int joe_kuo_d6_initial_number08543[] = {1, 3, 5, 7, 11, 29, 119, 33, 261, 571, 2013, 3327, 2181, 12767, 93, 2437, 76533, 0};
static int joe_kuo_d6_initial_number08544[] = {1, 1, 7, 13, 17, 39, 55, 203, 261, 917, 967, 3651, 7235, 13751, 14439, 7591, 96553, 0};
static int joe_kuo_d6_initial_number08545[] = {1, 1, 1, 1, 11, 39, 19, 21, 125, 93, 1773, 1155, 6213, 7173, 9057, 6219, 4643, 0};
static int joe_kuo_d6_initial_number08546[] = {1, 3, 1, 5, 1, 31, 55, 143, 425, 539, 61, 3377, 7647, 257, 15007, 24511, 8707, 0};
static int joe_kuo_d6_initial_number08547[] = {1, 3, 3, 11, 27, 51, 103, 197, 427, 139, 181, 1169, 3123, 11803, 5285, 1321, 62267, 0};
static int joe_kuo_d6_initial_number08548[] = {1, 3, 5, 9, 11, 3, 13, 149, 197, 37, 31, 927, 3313, 16149, 14209, 60177, 46525, 0};
static int joe_kuo_d6_initial_number08549[] = {1, 1, 5, 13, 15, 29, 103, 49, 355, 797, 1253, 1833, 621, 3877, 9981, 49207, 91035, 0};
static int joe_kuo_d6_initial_number08550[] = {1, 1, 3, 3, 13, 19, 27, 51, 151, 275, 35, 3755, 7511, 14197, 26141, 43765, 104327, 0};
static int joe_kuo_d6_initial_number08551[] = {1, 3, 5, 15, 23, 47, 101, 213, 97, 957, 831, 1533, 7913, 15763, 29717, 60425, 38559, 0};
static int joe_kuo_d6_initial_number08552[] = {1, 1, 7, 9, 29, 31, 49, 245, 361, 299, 151, 2969, 1487, 1761, 11697, 4043, 100909, 0};
static int joe_kuo_d6_initial_number08553[] = {1, 1, 1, 3, 17, 49, 99, 159, 3, 525, 1527, 3435, 5113, 459, 13341, 54103, 85813, 0};
static int joe_kuo_d6_initial_number08554[] = {1, 3, 1, 1, 5, 59, 35, 75, 107, 91, 1621, 3261, 619, 3271, 10813, 29857, 1547, 0};
static int joe_kuo_d6_initial_number08555[] = {1, 1, 5, 9, 9, 33, 85, 245, 39, 879, 1621, 2587, 3825, 12939, 30113, 24611, 68491, 0};
static int joe_kuo_d6_initial_number08556[] = {1, 3, 1, 3, 9, 39, 93, 241, 307, 237, 3, 1763, 7729, 9257, 31911, 32591, 77333, 0};
static int joe_kuo_d6_initial_number08557[] = {1, 3, 1, 3, 27, 7, 51, 121, 317, 361, 1027, 95, 7035, 3097, 21007, 38311, 88287, 0};
static int joe_kuo_d6_initial_number08558[] = {1, 3, 7, 3, 19, 3, 111, 115, 339, 793, 1571, 3101, 1911, 14929, 12841, 45871, 119905, 0};
static int joe_kuo_d6_initial_number08559[] = {1, 1, 5, 7, 31, 61, 37, 143, 279, 941, 1215, 2411, 7617, 1657, 10189, 19139, 6307, 0};
static int joe_kuo_d6_initial_number08560[] = {1, 1, 3, 9, 21, 35, 13, 157, 187, 79, 689, 1085, 37, 4549, 5901, 15321, 61627, 0};
static int joe_kuo_d6_initial_number08561[] = {1, 3, 1, 13, 15, 39, 21, 231, 39, 327, 801, 2321, 587, 1877, 3489, 54467, 95773, 0};
static int joe_kuo_d6_initial_number08562[] = {1, 1, 5, 7, 1, 9, 53, 1, 243, 365, 789, 3833, 317, 10697, 26567, 65187, 22507, 0};
static int joe_kuo_d6_initial_number08563[] = {1, 3, 3, 7, 9, 41, 31, 135, 425, 939, 15, 2043, 6593, 7651, 25467, 62549, 35847, 0};
static int joe_kuo_d6_initial_number08564[] = {1, 1, 1, 7, 15, 23, 19, 57, 421, 25, 1037, 3055, 6173, 12451, 485, 54567, 109561, 0};
static int joe_kuo_d6_initial_number08565[] = {1, 3, 5, 1, 3, 29, 67, 233, 157, 677, 1711, 513, 4673, 2895, 1983, 31075, 1861, 0};
static int joe_kuo_d6_initial_number08566[] = {1, 1, 1, 1, 7, 39, 115, 251, 275, 791, 15, 1685, 6835, 14685, 12607, 28213, 121475, 0};
static int joe_kuo_d6_initial_number08567[] = {1, 1, 5, 5, 13, 11, 103, 93, 489, 709, 1339, 2407, 1663, 10195, 3135, 15531, 88427, 0};
static int joe_kuo_d6_initial_number08568[] = {1, 1, 7, 7, 17, 1, 123, 143, 31, 721, 1739, 2273, 3785, 10261, 14741, 52573, 113677, 0};
static int joe_kuo_d6_initial_number08569[] = {1, 3, 7, 3, 9, 21, 77, 13, 241, 429, 165, 3399, 7543, 2633, 21129, 13537, 84473, 0};
static int joe_kuo_d6_initial_number08570[] = {1, 1, 1, 11, 21, 33, 125, 123, 189, 337, 163, 3727, 2101, 14113, 1719, 46017, 68601, 0};
static int joe_kuo_d6_initial_number08571[] = {1, 1, 7, 9, 9, 53, 101, 111, 125, 605, 1419, 3901, 1769, 4585, 20063, 20857, 21901, 0};
static int joe_kuo_d6_initial_number08572[] = {1, 3, 7, 11, 1, 19, 51, 7, 457, 119, 871, 3847, 57, 11437, 28763, 58831, 675, 0};
static int joe_kuo_d6_initial_number08573[] = {1, 3, 1, 15, 25, 63, 69, 25, 405, 823, 1701, 2441, 7561, 8679, 31643, 29325, 25563, 0};
static int joe_kuo_d6_initial_number08574[] = {1, 1, 3, 9, 15, 5, 89, 13, 73, 951, 959, 2693, 4565, 13095, 991, 12419, 8267, 0};
static int joe_kuo_d6_initial_number08575[] = {1, 1, 7, 1, 15, 1, 119, 223, 213, 585, 1047, 2623, 4141, 2043, 1583, 59155, 5133, 0};
static int joe_kuo_d6_initial_number08576[] = {1, 3, 3, 3, 17, 37, 81, 233, 87, 843, 1597, 1251, 4713, 10813, 24357, 48499, 84465, 0};
static int joe_kuo_d6_initial_number08577[] = {1, 1, 1, 1, 11, 55, 125, 5, 255, 809, 543, 2351, 7079, 7801, 29247, 23937, 97405, 0};
static int joe_kuo_d6_initial_number08578[] = {1, 3, 3, 5, 17, 55, 87, 245, 371, 679, 943, 655, 5857, 261, 28229, 22519, 35191, 0};
static int joe_kuo_d6_initial_number08579[] = {1, 1, 7, 15, 9, 49, 25, 155, 13, 893, 1303, 2317, 2903, 15601, 1433, 20397, 70125, 0};
static int joe_kuo_d6_initial_number08580[] = {1, 3, 5, 3, 11, 47, 99, 63, 253, 95, 1023, 397, 4307, 4771, 17027, 19833, 18269, 0};
static int joe_kuo_d6_initial_number08581[] = {1, 3, 3, 7, 25, 17, 69, 119, 475, 575, 1637, 3785, 649, 11557, 22457, 38633, 96153, 0};
static int joe_kuo_d6_initial_number08582[] = {1, 1, 1, 5, 31, 55, 85, 83, 307, 201, 1543, 727, 977, 15779, 21907, 31025, 38969, 0};
static int joe_kuo_d6_initial_number08583[] = {1, 3, 5, 1, 7, 53, 107, 239, 341, 237, 1567, 2717, 3197, 12419, 23733, 42119, 86619, 0};
static int joe_kuo_d6_initial_number08584[] = {1, 1, 5, 13, 3, 7, 105, 95, 201, 953, 781, 2043, 5263, 13427, 10303, 60027, 19297, 0};
static int joe_kuo_d6_initial_number08585[] = {1, 1, 5, 15, 25, 51, 5, 77, 165, 297, 1281, 1635, 4139, 11569, 32325, 23135, 27013, 0};
static int joe_kuo_d6_initial_number08586[] = {1, 1, 3, 9, 3, 59, 107, 137, 251, 715, 1477, 511, 5629, 12205, 7541, 62559, 4253, 0};
static int joe_kuo_d6_initial_number08587[] = {1, 1, 7, 11, 31, 29, 7, 251, 119, 547, 1179, 3063, 1625, 8941, 30515, 13601, 72741, 0};
static int joe_kuo_d6_initial_number08588[] = {1, 3, 7, 13, 27, 43, 31, 43, 465, 355, 1063, 2305, 1425, 11963, 27327, 53335, 127517, 0};
static int joe_kuo_d6_initial_number08589[] = {1, 3, 1, 3, 21, 17, 53, 171, 269, 783, 349, 1879, 575, 13537, 16931, 61171, 23499, 0};
static int joe_kuo_d6_initial_number08590[] = {1, 3, 5, 3, 11, 5, 121, 227, 237, 841, 431, 3209, 3241, 6071, 23465, 39533, 102391, 0};
static int joe_kuo_d6_initial_number08591[] = {1, 3, 5, 11, 9, 1, 59, 143, 181, 869, 1859, 1543, 6419, 13305, 29075, 28051, 105799, 0};
static int joe_kuo_d6_initial_number08592[] = {1, 1, 7, 13, 31, 1, 105, 169, 67, 693, 1667, 2181, 4127, 4605, 3701, 36467, 19631, 0};
static int joe_kuo_d6_initial_number08593[] = {1, 1, 7, 5, 31, 15, 119, 161, 55, 549, 1195, 4051, 1923, 2497, 8289, 60393, 96181, 0};
static int joe_kuo_d6_initial_number08594[] = {1, 1, 3, 3, 5, 43, 13, 123, 469, 603, 2047, 2347, 815, 3457, 7503, 25261, 71951, 0};
static int joe_kuo_d6_initial_number08595[] = {1, 1, 7, 3, 13, 25, 85, 141, 497, 405, 957, 1407, 2075, 12445, 6675, 9993, 40429, 0};
static int joe_kuo_d6_initial_number08596[] = {1, 1, 5, 13, 29, 43, 99, 113, 307, 1003, 859, 723, 7513, 12249, 12653, 57685, 89551, 0};
static int joe_kuo_d6_initial_number08597[] = {1, 3, 7, 3, 11, 3, 9, 141, 501, 113, 69, 2285, 4525, 9049, 24765, 11585, 53787, 0};
static int joe_kuo_d6_initial_number08598[] = {1, 1, 3, 1, 25, 41, 103, 159, 215, 871, 77, 1849, 609, 15877, 32515, 22931, 11933, 0};
static int joe_kuo_d6_initial_number08599[] = {1, 1, 5, 11, 3, 27, 27, 111, 479, 861, 1041, 3777, 4443, 3095, 30379, 6293, 30823, 0};
static int joe_kuo_d6_initial_number08600[] = {1, 3, 5, 5, 27, 45, 9, 25, 451, 845, 1153, 897, 325, 15679, 30151, 37695, 54593, 0};
static int joe_kuo_d6_initial_number08601[] = {1, 3, 7, 1, 15, 47, 87, 135, 87, 567, 221, 3173, 769, 8173, 2957, 51287, 20961, 0};
static int joe_kuo_d6_initial_number08602[] = {1, 3, 1, 9, 3, 33, 1, 71, 147, 983, 1485, 3531, 213, 2353, 28269, 49353, 88343, 0};
static int joe_kuo_d6_initial_number08603[] = {1, 1, 3, 11, 11, 63, 109, 255, 35, 127, 1777, 791, 1379, 9539, 4915, 21593, 98901, 0};
static int joe_kuo_d6_initial_number08604[] = {1, 1, 7, 5, 3, 47, 93, 219, 381, 963, 359, 2461, 7629, 2803, 17345, 54311, 79057, 0};
static int joe_kuo_d6_initial_number08605[] = {1, 3, 5, 13, 13, 21, 1, 65, 455, 203, 29, 3717, 4495, 1285, 25289, 38597, 42431, 0};
static int joe_kuo_d6_initial_number08606[] = {1, 1, 3, 3, 27, 57, 7, 171, 65, 469, 1921, 3855, 1637, 5517, 14907, 48239, 117573, 0};
static int joe_kuo_d6_initial_number08607[] = {1, 3, 5, 1, 11, 35, 105, 251, 19, 219, 1191, 2177, 7885, 8399, 30527, 61415, 122215, 0};
static int joe_kuo_d6_initial_number08608[] = {1, 3, 5, 5, 21, 25, 59, 193, 509, 147, 1805, 561, 3505, 9639, 14221, 31, 99261, 0};
static int joe_kuo_d6_initial_number08609[] = {1, 1, 5, 13, 31, 23, 35, 143, 367, 385, 1335, 2497, 3573, 8113, 16661, 16147, 8763, 0};
static int joe_kuo_d6_initial_number08610[] = {1, 1, 7, 13, 15, 27, 35, 15, 7, 539, 633, 1145, 2267, 11527, 20975, 16689, 58227, 0};
static int joe_kuo_d6_initial_number08611[] = {1, 1, 1, 15, 9, 11, 51, 121, 381, 331, 1445, 187, 519, 15827, 27611, 32891, 113671, 0};
static int joe_kuo_d6_initial_number08612[] = {1, 3, 1, 5, 19, 3, 77, 67, 107, 105, 1025, 3229, 6869, 5717, 4227, 28489, 59759, 0};
static int joe_kuo_d6_initial_number08613[] = {1, 1, 5, 15, 25, 23, 7, 25, 103, 733, 525, 453, 6467, 2901, 7197, 33267, 68177, 0};
static int joe_kuo_d6_initial_number08614[] = {1, 1, 5, 7, 27, 27, 41, 93, 449, 733, 571, 411, 1709, 9557, 549, 5925, 24123, 0};
static int joe_kuo_d6_initial_number08615[] = {1, 1, 7, 5, 31, 57, 119, 227, 105, 533, 717, 3357, 2495, 6467, 7211, 38169, 44603, 0};
static int joe_kuo_d6_initial_number08616[] = {1, 1, 5, 7, 29, 9, 125, 241, 471, 571, 1271, 2911, 8087, 5067, 31139, 39681, 28579, 0};
static int joe_kuo_d6_initial_number08617[] = {1, 3, 5, 11, 25, 53, 109, 35, 183, 109, 1961, 1681, 7773, 6935, 28049, 37279, 96829, 0};
static int joe_kuo_d6_initial_number08618[] = {1, 1, 1, 11, 1, 17, 47, 245, 231, 747, 1395, 1635, 5129, 3165, 627, 34463, 38967, 0};
static int joe_kuo_d6_initial_number08619[] = {1, 3, 5, 1, 9, 41, 25, 215, 251, 525, 1399, 3405, 7399, 11041, 5599, 51167, 38697, 0};
static int joe_kuo_d6_initial_number08620[] = {1, 3, 3, 13, 11, 15, 121, 95, 139, 611, 633, 3941, 2619, 15123, 28535, 64823, 17527, 0};
static int joe_kuo_d6_initial_number08621[] = {1, 3, 7, 13, 21, 53, 65, 175, 81, 5, 699, 1525, 7397, 2465, 4479, 58225, 26387, 0};
static int joe_kuo_d6_initial_number08622[] = {1, 1, 5, 7, 9, 31, 31, 149, 359, 613, 397, 153, 4861, 8195, 22969, 26003, 124423, 0};
static int joe_kuo_d6_initial_number08623[] = {1, 3, 1, 13, 27, 17, 107, 27, 19, 13, 1481, 573, 7701, 6273, 30255, 16125, 11809, 0};
static int joe_kuo_d6_initial_number08624[] = {1, 3, 1, 9, 15, 1, 45, 105, 287, 901, 667, 3197, 3493, 12259, 1511, 63361, 94257, 0};
static int joe_kuo_d6_initial_number08625[] = {1, 3, 1, 3, 25, 53, 19, 87, 365, 585, 1569, 1731, 3747, 11985, 22673, 17767, 113779, 0};
static int joe_kuo_d6_initial_number08626[] = {1, 3, 3, 9, 7, 21, 103, 201, 501, 149, 1939, 3111, 4739, 8389, 27127, 55889, 54487, 0};
static int joe_kuo_d6_initial_number08627[] = {1, 3, 5, 7, 25, 53, 75, 57, 19, 505, 849, 2631, 6999, 11269, 24541, 17695, 97671, 0};
static int joe_kuo_d6_initial_number08628[] = {1, 1, 7, 15, 5, 51, 123, 93, 445, 379, 1729, 2747, 5821, 10779, 29335, 57419, 109339, 0};
static int joe_kuo_d6_initial_number08629[] = {1, 1, 7, 3, 7, 57, 117, 65, 297, 891, 487, 1535, 2361, 10457, 30759, 34571, 129949, 0};
static int joe_kuo_d6_initial_number08630[] = {1, 3, 5, 5, 17, 51, 27, 103, 55, 925, 947, 1237, 1629, 12687, 14775, 49627, 100939, 0};
static int joe_kuo_d6_initial_number08631[] = {1, 3, 3, 15, 1, 11, 75, 177, 399, 55, 1705, 1165, 7525, 8909, 13071, 60703, 11561, 0};
static int joe_kuo_d6_initial_number08632[] = {1, 1, 1, 7, 13, 29, 23, 65, 279, 853, 637, 3947, 4099, 6465, 7061, 50417, 35015, 0};
static int joe_kuo_d6_initial_number08633[] = {1, 1, 3, 3, 15, 11, 111, 169, 135, 279, 1941, 3035, 3027, 6813, 13363, 20387, 3257, 0};
static int joe_kuo_d6_initial_number08634[] = {1, 3, 3, 11, 3, 5, 95, 181, 405, 313, 39, 1503, 2443, 3221, 17021, 23485, 43909, 0};
static int joe_kuo_d6_initial_number08635[] = {1, 1, 1, 3, 17, 63, 27, 247, 441, 533, 449, 3845, 4021, 14269, 31477, 7013, 37473, 0};
static int joe_kuo_d6_initial_number08636[] = {1, 1, 5, 13, 29, 39, 41, 95, 417, 21, 685, 609, 5787, 13145, 32677, 6121, 50919, 0};
static int joe_kuo_d6_initial_number08637[] = {1, 1, 5, 3, 17, 5, 93, 143, 171, 681, 1143, 2875, 805, 15823, 29649, 63327, 12041, 0};
static int joe_kuo_d6_initial_number08638[] = {1, 1, 1, 11, 3, 53, 123, 105, 59, 485, 1799, 2939, 657, 2485, 29563, 36221, 89095, 0};
static int joe_kuo_d6_initial_number08639[] = {1, 1, 5, 5, 15, 13, 127, 87, 211, 579, 175, 793, 6895, 9051, 17681, 28831, 31783, 0};
static int joe_kuo_d6_initial_number08640[] = {1, 3, 7, 5, 11, 37, 9, 219, 453, 697, 139, 335, 6411, 8495, 4203, 29065, 114837, 0};
static int joe_kuo_d6_initial_number08641[] = {1, 1, 3, 5, 31, 25, 89, 215, 249, 271, 1731, 3133, 3947, 10227, 9679, 51303, 82833, 0};
static int joe_kuo_d6_initial_number08642[] = {1, 3, 5, 1, 31, 15, 7, 131, 369, 757, 1963, 3223, 35, 13967, 31807, 5093, 113743, 0};
static int joe_kuo_d6_initial_number08643[] = {1, 1, 7, 3, 15, 23, 21, 173, 295, 929, 1137, 3943, 1985, 13015, 8523, 59117, 127, 0};
static int joe_kuo_d6_initial_number08644[] = {1, 3, 7, 1, 31, 1, 115, 229, 345, 859, 1757, 1835, 7491, 4545, 1483, 40149, 122321, 0};
static int joe_kuo_d6_initial_number08645[] = {1, 1, 1, 3, 13, 5, 3, 133, 177, 47, 1515, 17, 5663, 3185, 2775, 31389, 37409, 0};
static int joe_kuo_d6_initial_number08646[] = {1, 1, 3, 3, 31, 3, 43, 137, 185, 803, 709, 391, 3513, 8117, 32593, 46593, 61037, 0};
static int joe_kuo_d6_initial_number08647[] = {1, 1, 1, 7, 29, 27, 13, 35, 61, 961, 777, 2725, 7379, 7053, 21781, 60285, 49221, 0};
static int joe_kuo_d6_initial_number08648[] = {1, 3, 7, 15, 7, 7, 15, 123, 109, 97, 361, 791, 4773, 8111, 4319, 13981, 92505, 0};
static int joe_kuo_d6_initial_number08649[] = {1, 1, 3, 11, 21, 33, 113, 221, 453, 981, 341, 4041, 5129, 5981, 11051, 17243, 19023, 0};
static int joe_kuo_d6_initial_number08650[] = {1, 3, 1, 1, 19, 7, 75, 213, 467, 221, 1829, 1275, 5729, 6843, 23855, 44805, 89269, 0};
static int joe_kuo_d6_initial_number08651[] = {1, 1, 3, 7, 5, 29, 39, 125, 147, 329, 1485, 2793, 2329, 14979, 18395, 37951, 58699, 0};
static int joe_kuo_d6_initial_number08652[] = {1, 3, 1, 3, 11, 37, 117, 189, 103, 381, 39, 31, 5205, 5601, 17127, 49073, 121417, 0};
static int joe_kuo_d6_initial_number08653[] = {1, 3, 3, 13, 23, 49, 57, 187, 441, 189, 349, 2559, 3313, 1321, 7731, 57309, 80195, 0};
static int joe_kuo_d6_initial_number08654[] = {1, 3, 7, 1, 17, 9, 21, 15, 447, 333, 959, 3471, 5301, 8573, 9761, 23183, 57997, 0};
static int joe_kuo_d6_initial_number08655[] = {1, 3, 1, 9, 19, 1, 101, 71, 325, 309, 85, 2097, 8003, 12249, 1887, 2097, 68375, 0};
static int joe_kuo_d6_initial_number08656[] = {1, 1, 7, 7, 11, 39, 85, 241, 293, 205, 387, 1539, 6583, 1395, 8869, 48843, 49983, 0};
static int joe_kuo_d6_initial_number08657[] = {1, 3, 7, 13, 11, 23, 83, 125, 55, 429, 169, 1893, 4657, 643, 3405, 9943, 128753, 0};
static int joe_kuo_d6_initial_number08658[] = {1, 1, 3, 11, 19, 43, 13, 171, 495, 117, 437, 3697, 6723, 6199, 1859, 39637, 111499, 0};
static int joe_kuo_d6_initial_number08659[] = {1, 1, 1, 5, 1, 31, 83, 199, 129, 941, 1637, 1997, 5011, 14957, 32427, 60797, 4989, 0};
static int joe_kuo_d6_initial_number08660[] = {1, 3, 3, 3, 5, 61, 33, 225, 315, 157, 1709, 807, 7809, 11063, 319, 20901, 73599, 0};
static int joe_kuo_d6_initial_number08661[] = {1, 1, 7, 3, 27, 3, 1, 173, 125, 769, 1203, 3357, 4899, 13115, 7081, 42459, 18525, 0};
static int joe_kuo_d6_initial_number08662[] = {1, 1, 7, 9, 9, 27, 43, 115, 229, 867, 661, 1825, 2883, 4285, 22393, 65141, 24699, 0};
static int joe_kuo_d6_initial_number08663[] = {1, 1, 3, 7, 5, 9, 93, 47, 33, 823, 309, 2977, 5791, 9177, 27645, 35683, 57455, 0};
static int joe_kuo_d6_initial_number08664[] = {1, 1, 5, 7, 9, 53, 9, 77, 499, 1023, 917, 209, 7311, 249, 773, 18303, 41447, 0};
static int joe_kuo_d6_initial_number08665[] = {1, 1, 3, 5, 7, 9, 33, 73, 325, 369, 1657, 2257, 2893, 13911, 10797, 21055, 103511, 0};
static int joe_kuo_d6_initial_number08666[] = {1, 3, 1, 3, 21, 31, 125, 29, 149, 513, 979, 2271, 989, 9541, 4179, 13215, 71369, 0};
static int joe_kuo_d6_initial_number08667[] = {1, 1, 7, 7, 19, 41, 39, 165, 59, 79, 137, 3479, 3389, 6635, 21467, 51073, 20765, 0};
static int joe_kuo_d6_initial_number08668[] = {1, 3, 3, 5, 7, 13, 109, 53, 335, 627, 339, 3825, 287, 6077, 11319, 2377, 112693, 0};
static int joe_kuo_d6_initial_number08669[] = {1, 3, 3, 1, 3, 57, 9, 47, 437, 717, 563, 1219, 6191, 9081, 21533, 2651, 17275, 0};
static int joe_kuo_d6_initial_number08670[] = {1, 1, 1, 5, 21, 9, 109, 109, 339, 947, 1699, 1487, 6477, 12601, 12327, 39427, 80937, 0};
static int joe_kuo_d6_initial_number08671[] = {1, 1, 7, 9, 1, 5, 55, 43, 95, 733, 1151, 3657, 2119, 11947, 21279, 21581, 22053, 0};
static int joe_kuo_d6_initial_number08672[] = {1, 3, 5, 11, 7, 9, 97, 149, 55, 523, 1911, 1389, 5343, 5533, 15439, 65313, 73421, 0};
static int joe_kuo_d6_initial_number08673[] = {1, 1, 3, 7, 19, 15, 119, 141, 57, 243, 423, 981, 1407, 12633, 20455, 53069, 98593, 0};
static int joe_kuo_d6_initial_number08674[] = {1, 1, 3, 3, 15, 57, 71, 203, 15, 133, 601, 805, 2821, 11623, 147, 4333, 97681, 0};
static int joe_kuo_d6_initial_number08675[] = {1, 1, 5, 7, 17, 61, 15, 251, 53, 699, 105, 1195, 3979, 41, 9077, 5145, 80057, 0};
static int joe_kuo_d6_initial_number08676[] = {1, 1, 5, 15, 29, 33, 53, 19, 41, 471, 1143, 65, 5833, 8417, 17263, 35859, 45035, 0};
static int joe_kuo_d6_initial_number08677[] = {1, 1, 1, 1, 15, 51, 73, 131, 181, 147, 1863, 3777, 1749, 10135, 11591, 12395, 85163, 0};
static int joe_kuo_d6_initial_number08678[] = {1, 3, 1, 9, 23, 63, 83, 199, 87, 499, 2025, 863, 4665, 3941, 17647, 52463, 108615, 0};
static int joe_kuo_d6_initial_number08679[] = {1, 3, 5, 7, 11, 39, 65, 161, 367, 593, 699, 1807, 7217, 5221, 22093, 44933, 6201, 0};
static int joe_kuo_d6_initial_number08680[] = {1, 1, 7, 13, 9, 41, 35, 77, 353, 291, 1267, 3923, 5397, 15401, 30317, 14945, 8715, 0};
static int joe_kuo_d6_initial_number08681[] = {1, 3, 1, 15, 11, 3, 29, 25, 505, 945, 1425, 2297, 1133, 4675, 8069, 55115, 114177, 0};
static int joe_kuo_d6_initial_number08682[] = {1, 3, 1, 5, 27, 63, 25, 7, 5, 399, 473, 1325, 7391, 5953, 27755, 65407, 89435, 0};
static int joe_kuo_d6_initial_number08683[] = {1, 3, 3, 13, 21, 61, 5, 119, 23, 999, 849, 1225, 3077, 821, 12059, 43223, 45427, 0};
static int joe_kuo_d6_initial_number08684[] = {1, 3, 7, 13, 1, 5, 93, 173, 181, 453, 1449, 3823, 1713, 14737, 8891, 43643, 1983, 0};
static int joe_kuo_d6_initial_number08685[] = {1, 1, 3, 3, 29, 53, 31, 163, 321, 539, 1283, 429, 3449, 15617, 4761, 21187, 120725, 0};
static int joe_kuo_d6_initial_number08686[] = {1, 1, 1, 1, 13, 27, 49, 37, 33, 631, 375, 425, 2465, 8773, 2777, 2115, 35633, 0};
static int joe_kuo_d6_initial_number08687[] = {1, 3, 5, 3, 25, 25, 27, 201, 63, 259, 1571, 1143, 2325, 6773, 11941, 28897, 19719, 0};
static int joe_kuo_d6_initial_number08688[] = {1, 1, 3, 5, 11, 39, 59, 203, 37, 899, 559, 2599, 4397, 12159, 29579, 51251, 83213, 0};
static int joe_kuo_d6_initial_number08689[] = {1, 1, 1, 7, 9, 19, 63, 169, 257, 921, 381, 3605, 3479, 1739, 26599, 20599, 29617, 0};
static int joe_kuo_d6_initial_number08690[] = {1, 1, 1, 9, 7, 29, 123, 35, 419, 963, 855, 1903, 6199, 2727, 29811, 49279, 101673, 0};
static int joe_kuo_d6_initial_number08691[] = {1, 3, 5, 11, 29, 23, 73, 13, 467, 935, 181, 3837, 8117, 11501, 18361, 26803, 99471, 0};
static int joe_kuo_d6_initial_number08692[] = {1, 1, 1, 5, 31, 41, 109, 45, 115, 113, 1893, 727, 2453, 13463, 22339, 13495, 11473, 0};
static int joe_kuo_d6_initial_number08693[] = {1, 1, 5, 9, 5, 31, 109, 145, 511, 243, 57, 2219, 1601, 1821, 12787, 48239, 89645, 0};
static int joe_kuo_d6_initial_number08694[] = {1, 3, 1, 7, 19, 41, 25, 57, 45, 489, 1531, 3959, 2007, 14247, 13445, 1991, 114977, 0};
static int joe_kuo_d6_initial_number08695[] = {1, 3, 7, 15, 7, 17, 107, 27, 249, 207, 183, 2483, 5817, 8927, 10715, 63631, 51947, 0};
static int joe_kuo_d6_initial_number08696[] = {1, 3, 1, 3, 13, 21, 57, 113, 171, 885, 1335, 783, 7575, 4443, 19497, 13827, 130727, 0};
static int joe_kuo_d6_initial_number08697[] = {1, 1, 5, 7, 19, 33, 95, 13, 387, 297, 1597, 767, 7543, 16063, 10367, 51683, 119811, 0};
static int joe_kuo_d6_initial_number08698[] = {1, 3, 7, 9, 27, 57, 111, 209, 305, 139, 179, 25, 2295, 2593, 31361, 23677, 74501, 0};
static int joe_kuo_d6_initial_number08699[] = {1, 3, 7, 3, 21, 63, 97, 189, 3, 693, 209, 2227, 7169, 9, 32575, 61521, 115155, 0};
static int joe_kuo_d6_initial_number08700[] = {1, 1, 1, 11, 13, 21, 125, 249, 193, 895, 139, 1207, 5941, 5821, 6623, 7753, 80939, 0};
static int joe_kuo_d6_initial_number08701[] = {1, 3, 5, 5, 11, 49, 17, 21, 423, 497, 835, 539, 6195, 12783, 1271, 20069, 2657, 0};
static int joe_kuo_d6_initial_number08702[] = {1, 1, 7, 15, 13, 39, 83, 191, 77, 95, 661, 3627, 1853, 1349, 23109, 43583, 104121, 0};
static int joe_kuo_d6_initial_number08703[] = {1, 3, 1, 15, 31, 15, 71, 255, 489, 91, 351, 367, 309, 6275, 18325, 51231, 52159, 0};
static int joe_kuo_d6_initial_number08704[] = {1, 1, 7, 13, 21, 49, 37, 135, 355, 421, 507, 2563, 4955, 4095, 1933, 29517, 119699, 0};
static int joe_kuo_d6_initial_number08705[] = {1, 1, 1, 1, 27, 41, 15, 161, 475, 635, 863, 3773, 6015, 6197, 24261, 26271, 42375, 0};
static int joe_kuo_d6_initial_number08706[] = {1, 1, 7, 13, 25, 7, 23, 185, 129, 597, 1561, 3003, 2879, 15187, 4913, 24589, 12927, 0};
static int joe_kuo_d6_initial_number08707[] = {1, 1, 3, 3, 9, 23, 49, 233, 345, 83, 823, 2627, 5019, 2365, 23755, 9855, 48515, 0};
static int joe_kuo_d6_initial_number08708[] = {1, 3, 1, 1, 11, 7, 117, 213, 27, 923, 375, 2597, 8173, 8935, 16487, 49283, 104569, 0};
static int joe_kuo_d6_initial_number08709[] = {1, 1, 7, 7, 23, 13, 61, 131, 313, 883, 495, 1105, 6207, 1473, 21655, 51883, 403, 0};
static int joe_kuo_d6_initial_number08710[] = {1, 3, 3, 1, 25, 5, 5, 159, 243, 929, 1429, 1151, 5043, 11551, 21231, 38767, 105299, 0};
static int joe_kuo_d6_initial_number08711[] = {1, 3, 7, 7, 15, 37, 49, 219, 67, 147, 873, 2391, 455, 9565, 8977, 64759, 40347, 0};
static int joe_kuo_d6_initial_number08712[] = {1, 1, 1, 13, 21, 13, 13, 243, 303, 333, 187, 3591, 871, 2501, 30853, 5247, 48855, 0};
static int joe_kuo_d6_initial_number08713[] = {1, 1, 1, 5, 1, 5, 127, 249, 23, 79, 789, 3507, 8119, 5025, 26545, 54009, 100633, 0};
static int joe_kuo_d6_initial_number08714[] = {1, 3, 3, 11, 3, 31, 27, 115, 423, 309, 1805, 169, 789, 4081, 28139, 35355, 47991, 0};
static int joe_kuo_d6_initial_number08715[] = {1, 3, 1, 5, 19, 13, 43, 165, 165, 241, 309, 1703, 7631, 5899, 12041, 21235, 97045, 0};
static int joe_kuo_d6_initial_number08716[] = {1, 3, 1, 13, 15, 49, 29, 199, 93, 611, 77, 2681, 191, 10215, 8115, 11895, 108687, 0};
static int joe_kuo_d6_initial_number08717[] = {1, 1, 3, 3, 13, 45, 15, 151, 345, 111, 1829, 1357, 6317, 5239, 26193, 46763, 73101, 0};
static int joe_kuo_d6_initial_number08718[] = {1, 3, 7, 3, 1, 19, 119, 63, 23, 759, 173, 307, 967, 2731, 9353, 14479, 119, 0};
static int joe_kuo_d6_initial_number08719[] = {1, 3, 5, 15, 5, 21, 127, 21, 419, 575, 991, 3465, 7365, 5711, 30657, 43513, 22447, 0};
static int joe_kuo_d6_initial_number08720[] = {1, 3, 7, 1, 19, 5, 49, 7, 45, 963, 1755, 3745, 4061, 4619, 9089, 59953, 100265, 0};
static int joe_kuo_d6_initial_number08721[] = {1, 1, 1, 3, 25, 53, 97, 97, 347, 749, 823, 1499, 8151, 9957, 731, 22317, 121623, 0};
static int joe_kuo_d6_initial_number08722[] = {1, 3, 5, 5, 19, 3, 121, 127, 313, 457, 1737, 4065, 5295, 7957, 16373, 62085, 5711, 0};
static int joe_kuo_d6_initial_number08723[] = {1, 1, 7, 13, 7, 37, 97, 43, 179, 837, 161, 477, 5095, 4985, 111, 58743, 24049, 0};
static int joe_kuo_d6_initial_number08724[] = {1, 3, 1, 13, 27, 13, 91, 241, 339, 235, 111, 369, 3361, 15105, 11097, 23955, 53561, 0};
static int joe_kuo_d6_initial_number08725[] = {1, 3, 5, 3, 9, 17, 103, 133, 309, 683, 71, 3329, 7229, 8763, 4165, 9649, 8529, 0};
static int joe_kuo_d6_initial_number08726[] = {1, 3, 5, 13, 29, 55, 29, 205, 433, 1007, 1173, 731, 5653, 89, 18447, 37911, 65603, 0};
static int joe_kuo_d6_initial_number08727[] = {1, 3, 5, 1, 15, 1, 7, 195, 397, 877, 1433, 3487, 1581, 1539, 3361, 7453, 46451, 0};
static int joe_kuo_d6_initial_number08728[] = {1, 1, 5, 13, 23, 1, 47, 245, 19, 859, 681, 2971, 2531, 11393, 32765, 4595, 45213, 0};
static int joe_kuo_d6_initial_number08729[] = {1, 3, 1, 3, 1, 11, 85, 185, 467, 413, 25, 3677, 881, 1791, 14655, 44811, 50819, 0};
static int joe_kuo_d6_initial_number08730[] = {1, 3, 5, 9, 9, 21, 65, 99, 441, 215, 1453, 2873, 5883, 485, 20883, 1303, 11837, 0};
static int joe_kuo_d6_initial_number08731[] = {1, 3, 3, 5, 9, 37, 87, 211, 247, 535, 1163, 1785, 4219, 12559, 17419, 48201, 21725, 0};
static int joe_kuo_d6_initial_number08732[] = {1, 1, 1, 11, 29, 11, 9, 215, 375, 601, 627, 2641, 6961, 6175, 10995, 49299, 102891, 0};
static int joe_kuo_d6_initial_number08733[] = {1, 3, 1, 3, 7, 7, 23, 139, 89, 1005, 1815, 947, 1507, 10349, 35, 43595, 104697, 0};
static int joe_kuo_d6_initial_number08734[] = {1, 1, 5, 13, 29, 47, 77, 255, 341, 333, 1211, 3473, 1303, 11237, 28371, 43283, 77617, 0};
static int joe_kuo_d6_initial_number08735[] = {1, 3, 3, 13, 27, 17, 73, 95, 227, 241, 1369, 833, 6683, 2193, 309, 64249, 6731, 0};
static int joe_kuo_d6_initial_number08736[] = {1, 3, 3, 3, 15, 29, 45, 209, 401, 725, 1123, 1659, 6099, 15941, 5797, 30563, 119385, 0};
static int joe_kuo_d6_initial_number08737[] = {1, 1, 1, 1, 7, 55, 95, 151, 351, 373, 1131, 2357, 7535, 3899, 19047, 17879, 34623, 0};
static int joe_kuo_d6_initial_number08738[] = {1, 3, 1, 5, 31, 5, 33, 97, 477, 399, 1255, 1073, 1513, 11651, 2951, 31351, 102635, 0};
static int joe_kuo_d6_initial_number08739[] = {1, 1, 3, 13, 17, 63, 51, 209, 57, 87, 977, 3663, 6717, 15441, 10709, 607, 48297, 0};
static int joe_kuo_d6_initial_number08740[] = {1, 1, 5, 1, 9, 29, 1, 105, 343, 19, 977, 3401, 3873, 4259, 23057, 13071, 105771, 0};
static int joe_kuo_d6_initial_number08741[] = {1, 1, 1, 5, 1, 33, 59, 17, 115, 225, 853, 3295, 965, 12547, 26971, 50097, 54999, 0};
static int joe_kuo_d6_initial_number08742[] = {1, 3, 3, 13, 1, 51, 29, 19, 245, 781, 493, 1121, 2937, 4177, 3267, 47463, 101195, 0};
static int joe_kuo_d6_initial_number08743[] = {1, 3, 7, 5, 3, 51, 25, 131, 451, 997, 1809, 1583, 355, 15383, 28159, 39141, 109379, 0};
static int joe_kuo_d6_initial_number08744[] = {1, 1, 5, 7, 3, 19, 75, 103, 401, 115, 1627, 423, 2485, 7281, 6177, 54677, 31499, 0};
static int joe_kuo_d6_initial_number08745[] = {1, 1, 1, 11, 23, 7, 57, 121, 5, 921, 1191, 1779, 1979, 3427, 25617, 19423, 73835, 0};
static int joe_kuo_d6_initial_number08746[] = {1, 3, 3, 11, 17, 51, 15, 163, 265, 665, 1399, 1977, 3097, 7109, 14741, 24291, 79239, 0};
static int joe_kuo_d6_initial_number08747[] = {1, 1, 7, 3, 25, 61, 69, 77, 341, 23, 713, 2879, 8075, 14855, 9691, 58241, 113277, 0};
static int joe_kuo_d6_initial_number08748[] = {1, 3, 7, 9, 27, 43, 95, 11, 239, 445, 951, 3869, 1049, 6493, 9569, 9285, 29183, 0};
static int joe_kuo_d6_initial_number08749[] = {1, 1, 3, 1, 1, 23, 27, 101, 337, 171, 1977, 3181, 2693, 8591, 32309, 24909, 106535, 0};
static int joe_kuo_d6_initial_number08750[] = {1, 1, 1, 7, 23, 59, 79, 115, 49, 351, 871, 1209, 1045, 5985, 28427, 23047, 113571, 0};
static int joe_kuo_d6_initial_number08751[] = {1, 1, 7, 13, 27, 3, 35, 7, 319, 503, 977, 3747, 4859, 16315, 30375, 25999, 24341, 0};
static int joe_kuo_d6_initial_number08752[] = {1, 3, 3, 7, 23, 43, 67, 21, 399, 349, 1541, 2991, 5781, 14501, 5609, 65093, 12789, 0};
static int joe_kuo_d6_initial_number08753[] = {1, 3, 1, 11, 5, 21, 17, 157, 311, 663, 469, 4033, 1557, 7569, 31163, 14079, 127771, 0};
static int joe_kuo_d6_initial_number08754[] = {1, 1, 7, 15, 15, 31, 15, 183, 365, 35, 1433, 2793, 6685, 10565, 30409, 46815, 14173, 0};
static int joe_kuo_d6_initial_number08755[] = {1, 1, 7, 7, 7, 45, 61, 163, 99, 353, 1535, 3185, 4023, 7999, 26173, 12675, 98073, 0};
static int joe_kuo_d6_initial_number08756[] = {1, 1, 5, 13, 1, 11, 107, 41, 171, 773, 1513, 883, 2117, 14449, 32323, 58271, 97173, 0};
static int joe_kuo_d6_initial_number08757[] = {1, 1, 3, 13, 27, 15, 123, 247, 281, 851, 233, 1173, 6863, 14805, 12401, 30729, 104127, 0};
static int joe_kuo_d6_initial_number08758[] = {1, 1, 7, 11, 25, 9, 97, 215, 217, 51, 1865, 3897, 725, 4779, 21661, 11853, 72225, 0};
static int joe_kuo_d6_initial_number08759[] = {1, 1, 5, 3, 5, 31, 125, 81, 367, 705, 325, 519, 3879, 5607, 3247, 7149, 33177, 0};
static int joe_kuo_d6_initial_number08760[] = {1, 3, 3, 7, 17, 17, 19, 113, 331, 277, 317, 1893, 1287, 8965, 27523, 61355, 45331, 0};
static int joe_kuo_d6_initial_number08761[] = {1, 3, 7, 9, 27, 15, 87, 21, 343, 479, 11, 2945, 1235, 1591, 28195, 40559, 42773, 0};
static int joe_kuo_d6_initial_number08762[] = {1, 3, 3, 13, 1, 45, 115, 41, 263, 569, 71, 4051, 739, 1031, 19213, 23961, 110767, 0};
static int joe_kuo_d6_initial_number08763[] = {1, 3, 7, 1, 9, 41, 21, 131, 3, 617, 191, 4051, 2445, 13451, 11889, 25075, 82631, 0};
static int joe_kuo_d6_initial_number08764[] = {1, 3, 3, 15, 7, 55, 65, 67, 443, 1023, 1445, 1467, 3907, 11449, 2247, 65085, 102161, 0};
static int joe_kuo_d6_initial_number08765[] = {1, 3, 5, 15, 19, 27, 97, 181, 51, 591, 99, 1443, 4927, 9809, 29693, 44293, 29369, 0};
static int joe_kuo_d6_initial_number08766[] = {1, 1, 7, 7, 17, 59, 69, 163, 37, 171, 107, 2581, 3567, 9455, 19707, 6329, 27755, 0};
static int joe_kuo_d6_initial_number08767[] = {1, 1, 1, 11, 15, 17, 83, 223, 183, 861, 1047, 3739, 3509, 5571, 28259, 42781, 130657, 0};
static int joe_kuo_d6_initial_number08768[] = {1, 3, 3, 7, 15, 11, 33, 115, 297, 841, 1629, 1559, 2261, 11763, 22255, 63819, 55831, 0};
static int joe_kuo_d6_initial_number08769[] = {1, 3, 3, 5, 19, 49, 17, 251, 507, 251, 805, 1041, 3947, 2219, 19977, 65449, 25031, 0};
static int joe_kuo_d6_initial_number08770[] = {1, 1, 1, 11, 3, 7, 81, 17, 219, 729, 949, 3257, 6495, 4701, 2181, 7009, 106465, 0};
static int joe_kuo_d6_initial_number08771[] = {1, 3, 7, 5, 27, 35, 15, 83, 43, 1013, 1427, 1943, 7555, 6613, 26879, 42685, 22071, 0};
static int joe_kuo_d6_initial_number08772[] = {1, 1, 3, 13, 23, 55, 15, 87, 15, 579, 717, 777, 149, 11431, 26197, 17711, 7337, 0};
static int joe_kuo_d6_initial_number08773[] = {1, 1, 5, 1, 31, 45, 113, 253, 211, 915, 1855, 4043, 2159, 1803, 5061, 40473, 3657, 0};
static int joe_kuo_d6_initial_number08774[] = {1, 1, 3, 7, 25, 15, 37, 73, 467, 969, 1123, 4053, 4837, 10091, 25461, 40803, 91157, 0};
static int joe_kuo_d6_initial_number08775[] = {1, 1, 5, 1, 7, 31, 77, 207, 21, 623, 577, 1195, 5839, 13013, 11189, 61691, 33327, 0};
static int joe_kuo_d6_initial_number08776[] = {1, 3, 7, 7, 13, 3, 9, 55, 47, 779, 599, 3747, 1533, 14705, 23185, 4011, 36003, 0};
static int joe_kuo_d6_initial_number08777[] = {1, 1, 5, 5, 31, 17, 99, 253, 103, 957, 241, 1893, 7435, 14907, 9089, 23205, 70639, 0};
static int joe_kuo_d6_initial_number08778[] = {1, 3, 7, 15, 7, 55, 53, 101, 227, 541, 2017, 275, 577, 15621, 1799, 50373, 43197, 0};
static int joe_kuo_d6_initial_number08779[] = {1, 3, 1, 15, 29, 23, 69, 193, 429, 359, 1045, 4091, 6551, 1673, 29113, 43247, 80993, 0};
static int joe_kuo_d6_initial_number08780[] = {1, 3, 7, 11, 5, 37, 13, 27, 277, 65, 565, 2631, 6919, 5593, 8481, 14703, 9719, 0};
static int joe_kuo_d6_initial_number08781[] = {1, 3, 1, 15, 5, 7, 83, 51, 77, 307, 1299, 1373, 5281, 15359, 15569, 50093, 59661, 0};
static int joe_kuo_d6_initial_number08782[] = {1, 3, 5, 11, 13, 31, 99, 123, 263, 319, 2033, 4055, 2427, 103, 2009, 27517, 112467, 0};
static int joe_kuo_d6_initial_number08783[] = {1, 1, 7, 3, 13, 1, 51, 131, 17, 861, 459, 3925, 5511, 5255, 28553, 36437, 54591, 0};
static int joe_kuo_d6_initial_number08784[] = {1, 3, 7, 5, 9, 57, 49, 119, 291, 727, 1611, 4035, 4517, 10979, 28445, 26905, 57517, 0};
static int joe_kuo_d6_initial_number08785[] = {1, 1, 5, 9, 9, 55, 43, 209, 411, 137, 1619, 3965, 5253, 8217, 7569, 42043, 104163, 0};
static int joe_kuo_d6_initial_number08786[] = {1, 3, 3, 7, 21, 3, 107, 255, 353, 735, 71, 1789, 3351, 755, 22805, 53537, 126859, 0};
static int joe_kuo_d6_initial_number08787[] = {1, 1, 7, 5, 15, 55, 13, 167, 165, 289, 1231, 2547, 8135, 5475, 2361, 49019, 110579, 0};
static int joe_kuo_d6_initial_number08788[] = {1, 3, 1, 11, 17, 21, 59, 37, 177, 517, 499, 4035, 749, 14297, 22415, 54975, 29769, 0};
static int joe_kuo_d6_initial_number08789[] = {1, 3, 7, 3, 3, 59, 55, 17, 483, 625, 875, 1465, 7583, 2969, 2741, 36965, 80367, 0};
static int joe_kuo_d6_initial_number08790[] = {1, 1, 3, 13, 31, 5, 11, 149, 7, 297, 1485, 735, 4095, 10089, 5757, 64997, 56629, 0};
static int joe_kuo_d6_initial_number08791[] = {1, 3, 1, 13, 19, 43, 77, 209, 309, 739, 1765, 3297, 8167, 6523, 27987, 25235, 80555, 0};
static int joe_kuo_d6_initial_number08792[] = {1, 1, 3, 9, 31, 57, 125, 75, 3, 633, 85, 3339, 1691, 9721, 17465, 36801, 106147, 0};
static int joe_kuo_d6_initial_number08793[] = {1, 3, 5, 15, 27, 7, 111, 7, 475, 523, 1825, 1367, 1549, 15533, 13827, 14471, 100271, 0};
static int joe_kuo_d6_initial_number08794[] = {1, 1, 5, 3, 5, 61, 1, 221, 163, 183, 1701, 3549, 349, 10057, 26169, 20725, 55305, 0};
static int joe_kuo_d6_initial_number08795[] = {1, 1, 3, 1, 15, 41, 13, 71, 269, 909, 1253, 2553, 83, 10055, 1057, 39841, 20437, 0};
static int joe_kuo_d6_initial_number08796[] = {1, 3, 3, 5, 29, 39, 113, 23, 137, 601, 361, 1779, 279, 15803, 8993, 2633, 114847, 0};
static int joe_kuo_d6_initial_number08797[] = {1, 1, 3, 7, 29, 45, 35, 27, 71, 253, 231, 3449, 1955, 9109, 9043, 50593, 15023, 0};
static int joe_kuo_d6_initial_number08798[] = {1, 3, 1, 11, 17, 45, 85, 255, 341, 957, 769, 3009, 3997, 6435, 1161, 34219, 97077, 0};
static int joe_kuo_d6_initial_number08799[] = {1, 1, 5, 1, 1, 19, 9, 51, 477, 129, 1411, 3223, 5069, 3237, 15947, 27215, 70401, 0};
static int joe_kuo_d6_initial_number08800[] = {1, 1, 3, 1, 1, 1, 73, 31, 301, 227, 119, 607, 3379, 3907, 1263, 2651, 43769, 0};
static int joe_kuo_d6_initial_number08801[] = {1, 1, 1, 15, 21, 59, 109, 155, 473, 361, 1871, 3085, 513, 12607, 12747, 41067, 44977, 0};
static int joe_kuo_d6_initial_number08802[] = {1, 1, 7, 3, 27, 21, 89, 71, 437, 671, 1469, 2191, 4225, 6343, 1131, 29141, 25221, 0};
static int joe_kuo_d6_initial_number08803[] = {1, 1, 7, 9, 7, 45, 95, 197, 391, 11, 1913, 3107, 5247, 959, 30395, 32809, 20893, 0};
static int joe_kuo_d6_initial_number08804[] = {1, 3, 7, 15, 13, 49, 77, 245, 463, 769, 1807, 1311, 2715, 14819, 27595, 57521, 105221, 0};
static int joe_kuo_d6_initial_number08805[] = {1, 1, 1, 5, 23, 45, 119, 77, 325, 405, 1631, 461, 6357, 7037, 31699, 46295, 118577, 0};
static int joe_kuo_d6_initial_number08806[] = {1, 3, 5, 1, 21, 3, 31, 13, 7, 571, 633, 425, 6547, 3423, 19355, 49481, 76289, 0};
static int joe_kuo_d6_initial_number08807[] = {1, 1, 3, 9, 7, 51, 113, 173, 169, 97, 1821, 979, 2553, 11505, 20047, 39277, 122905, 0};
static int joe_kuo_d6_initial_number08808[] = {1, 1, 5, 13, 17, 9, 111, 205, 261, 671, 657, 507, 3903, 10767, 4387, 3045, 102617, 0};
static int joe_kuo_d6_initial_number08809[] = {1, 1, 3, 3, 5, 11, 19, 61, 401, 605, 455, 2457, 4471, 7255, 18435, 49673, 97289, 0};
static int joe_kuo_d6_initial_number08810[] = {1, 3, 1, 1, 31, 25, 77, 35, 65, 127, 929, 2325, 2315, 13819, 5509, 12515, 36991, 0};
static int joe_kuo_d6_initial_number08811[] = {1, 1, 7, 5, 21, 49, 33, 119, 181, 645, 1425, 2411, 245, 13755, 18775, 50061, 47119, 0};
static int joe_kuo_d6_initial_number08812[] = {1, 3, 7, 5, 27, 43, 81, 191, 233, 435, 829, 3881, 713, 11153, 4637, 37721, 115567, 0};
static int joe_kuo_d6_initial_number08813[] = {1, 3, 7, 1, 27, 59, 51, 165, 59, 931, 1921, 3059, 6843, 813, 22063, 29445, 114765, 0};
static int joe_kuo_d6_initial_number08814[] = {1, 1, 5, 11, 31, 53, 89, 69, 29, 893, 1241, 7, 1707, 16167, 8371, 14021, 103281, 0};
static int joe_kuo_d6_initial_number08815[] = {1, 3, 1, 1, 23, 21, 3, 35, 73, 769, 1417, 4051, 3223, 813, 1141, 18823, 31951, 0};
static int joe_kuo_d6_initial_number08816[] = {1, 3, 7, 11, 9, 17, 89, 85, 407, 137, 1865, 2881, 1495, 3757, 3711, 36651, 1797, 0};
static int joe_kuo_d6_initial_number08817[] = {1, 3, 5, 1, 25, 29, 29, 217, 15, 173, 479, 2363, 2341, 6193, 16403, 64097, 1173, 0};
static int joe_kuo_d6_initial_number08818[] = {1, 3, 3, 3, 11, 29, 113, 167, 333, 573, 1467, 2223, 5693, 1063, 20299, 40993, 69055, 0};
static int joe_kuo_d6_initial_number08819[] = {1, 1, 3, 7, 3, 51, 45, 139, 79, 393, 1251, 1087, 1423, 1827, 23445, 41635, 78511, 0};
static int joe_kuo_d6_initial_number08820[] = {1, 3, 3, 13, 29, 45, 85, 229, 33, 373, 113, 1205, 997, 11777, 7663, 18513, 5797, 0};
static int joe_kuo_d6_initial_number08821[] = {1, 1, 5, 5, 15, 5, 127, 85, 49, 345, 901, 3215, 2347, 2329, 19597, 39555, 25031, 0};
static int joe_kuo_d6_initial_number08822[] = {1, 1, 7, 11, 9, 25, 71, 183, 341, 1011, 439, 3649, 2859, 10183, 7635, 45297, 38581, 0};
static int joe_kuo_d6_initial_number08823[] = {1, 1, 1, 11, 23, 13, 1, 69, 461, 77, 1641, 2851, 1889, 2413, 1131, 39009, 33773, 0};
static int joe_kuo_d6_initial_number08824[] = {1, 3, 7, 7, 25, 19, 67, 233, 141, 207, 1501, 453, 4773, 7411, 22839, 25365, 53189, 0};
static int joe_kuo_d6_initial_number08825[] = {1, 1, 7, 3, 3, 17, 13, 167, 73, 1005, 887, 2595, 4351, 3249, 5653, 36025, 33733, 0};
static int joe_kuo_d6_initial_number08826[] = {1, 1, 7, 15, 11, 1, 105, 215, 329, 601, 1477, 723, 4597, 3525, 26235, 63957, 26677, 0};
static int joe_kuo_d6_initial_number08827[] = {1, 1, 1, 11, 27, 15, 111, 133, 327, 567, 845, 2135, 7905, 7297, 29255, 14947, 104885, 0};
static int joe_kuo_d6_initial_number08828[] = {1, 1, 7, 9, 21, 11, 67, 179, 459, 423, 295, 3445, 1681, 12907, 29281, 7445, 35539, 0};
static int joe_kuo_d6_initial_number08829[] = {1, 1, 3, 11, 23, 61, 111, 123, 81, 439, 299, 3557, 2821, 705, 15393, 37175, 11533, 0};
static int joe_kuo_d6_initial_number08830[] = {1, 1, 3, 1, 13, 15, 113, 227, 285, 313, 687, 2085, 6363, 8003, 32661, 36461, 68759, 0};
static int joe_kuo_d6_initial_number08831[] = {1, 3, 3, 1, 27, 7, 101, 177, 363, 461, 1519, 2339, 473, 7469, 4335, 30951, 130987, 0};
static int joe_kuo_d6_initial_number08832[] = {1, 1, 1, 3, 31, 39, 59, 159, 207, 93, 581, 1973, 945, 11343, 15901, 22001, 3515, 0};
static int joe_kuo_d6_initial_number08833[] = {1, 3, 7, 5, 11, 53, 125, 57, 389, 985, 1055, 3803, 3879, 5537, 28221, 36805, 16025, 0};
static int joe_kuo_d6_initial_number08834[] = {1, 1, 1, 9, 1, 63, 81, 57, 59, 813, 865, 3491, 3771, 6121, 6847, 14765, 68567, 0};
static int joe_kuo_d6_initial_number08835[] = {1, 1, 7, 7, 13, 17, 23, 211, 435, 167, 933, 357, 3567, 3019, 28439, 17701, 119937, 0};
static int joe_kuo_d6_initial_number08836[] = {1, 1, 1, 9, 7, 53, 103, 155, 211, 719, 413, 3673, 2795, 15687, 1737, 50855, 129133, 0};
static int joe_kuo_d6_initial_number08837[] = {1, 1, 3, 13, 11, 23, 53, 121, 497, 383, 1655, 937, 5563, 2549, 23183, 46149, 78875, 0};
static int joe_kuo_d6_initial_number08838[] = {1, 3, 5, 11, 25, 1, 45, 139, 437, 729, 2009, 3245, 4091, 551, 25993, 31655, 33641, 0};
static int joe_kuo_d6_initial_number08839[] = {1, 3, 1, 13, 7, 23, 87, 111, 471, 501, 1767, 1051, 7037, 3199, 19609, 43227, 53667, 0};
static int joe_kuo_d6_initial_number08840[] = {1, 3, 7, 1, 25, 1, 49, 189, 55, 375, 601, 2065, 2991, 7697, 25739, 14951, 43705, 0};
static int joe_kuo_d6_initial_number08841[] = {1, 1, 7, 5, 29, 21, 51, 111, 81, 809, 1963, 2143, 5529, 15701, 4719, 11857, 88207, 0};
static int joe_kuo_d6_initial_number08842[] = {1, 1, 5, 11, 27, 27, 7, 145, 281, 939, 537, 1255, 1475, 11383, 15081, 9105, 102775, 0};
static int joe_kuo_d6_initial_number08843[] = {1, 1, 5, 7, 9, 45, 67, 23, 65, 139, 1871, 3975, 6357, 6515, 25423, 23915, 76289, 0};
static int joe_kuo_d6_initial_number08844[] = {1, 1, 5, 11, 31, 31, 89, 65, 451, 341, 819, 2439, 6753, 15113, 9085, 32687, 5055, 0};
static int joe_kuo_d6_initial_number08845[] = {1, 1, 5, 1, 15, 29, 123, 83, 495, 185, 303, 315, 6015, 5257, 2467, 4903, 78269, 0};
static int joe_kuo_d6_initial_number08846[] = {1, 1, 3, 5, 31, 51, 49, 199, 501, 407, 733, 1181, 8023, 7321, 14765, 17535, 19893, 0};
static int joe_kuo_d6_initial_number08847[] = {1, 1, 5, 5, 19, 15, 103, 183, 13, 969, 1537, 3053, 3173, 12983, 21761, 33733, 67799, 0};
static int joe_kuo_d6_initial_number08848[] = {1, 3, 1, 1, 27, 55, 37, 149, 379, 11, 1655, 2317, 3135, 6459, 25941, 12679, 60245, 0};
static int joe_kuo_d6_initial_number08849[] = {1, 1, 3, 9, 9, 13, 33, 243, 337, 741, 1685, 1147, 5465, 4865, 559, 23993, 47273, 0};
static int joe_kuo_d6_initial_number08850[] = {1, 3, 5, 13, 21, 11, 39, 169, 135, 209, 1909, 3655, 3117, 1075, 8165, 54633, 28189, 0};
static int joe_kuo_d6_initial_number08851[] = {1, 3, 1, 15, 9, 23, 11, 123, 63, 133, 947, 907, 3853, 10291, 22905, 4561, 92497, 0};
static int joe_kuo_d6_initial_number08852[] = {1, 1, 3, 13, 17, 9, 5, 209, 429, 3, 2035, 1497, 6765, 5991, 24991, 8155, 103417, 0};
static int joe_kuo_d6_initial_number08853[] = {1, 1, 5, 13, 27, 47, 79, 11, 41, 791, 1939, 3099, 4069, 4665, 20801, 18659, 72163, 0};
static int joe_kuo_d6_initial_number08854[] = {1, 3, 1, 13, 25, 37, 79, 131, 233, 647, 291, 1419, 5157, 4261, 27715, 611, 83157, 0};
static int joe_kuo_d6_initial_number08855[] = {1, 1, 5, 1, 17, 61, 45, 163, 137, 937, 91, 1695, 1553, 543, 28615, 6855, 75201, 0};
static int joe_kuo_d6_initial_number08856[] = {1, 1, 3, 13, 7, 63, 109, 13, 351, 159, 1111, 2791, 4701, 5805, 9707, 18361, 98091, 0};
static int joe_kuo_d6_initial_number08857[] = {1, 1, 3, 11, 11, 21, 55, 247, 111, 801, 93, 3091, 1043, 9761, 23679, 5555, 195, 0};
static int joe_kuo_d6_initial_number08858[] = {1, 1, 1, 1, 13, 43, 123, 113, 265, 561, 659, 3755, 6605, 10949, 30511, 29495, 9075, 0};
static int joe_kuo_d6_initial_number08859[] = {1, 3, 1, 7, 23, 63, 19, 73, 233, 1017, 851, 1971, 3999, 7407, 25309, 63991, 92867, 0};
static int joe_kuo_d6_initial_number08860[] = {1, 3, 3, 3, 19, 63, 127, 107, 465, 463, 1507, 1323, 4729, 14717, 9129, 24859, 117565, 0};
static int joe_kuo_d6_initial_number08861[] = {1, 1, 7, 1, 19, 11, 13, 85, 339, 939, 895, 887, 765, 15501, 8783, 65087, 77899, 0};
static int joe_kuo_d6_initial_number08862[] = {1, 3, 7, 3, 7, 15, 43, 153, 365, 223, 1947, 2295, 787, 5549, 20089, 29203, 4807, 0};
static int joe_kuo_d6_initial_number08863[] = {1, 3, 7, 3, 31, 27, 51, 217, 483, 623, 633, 2123, 1211, 9173, 17949, 54251, 89161, 0};
static int joe_kuo_d6_initial_number08864[] = {1, 3, 3, 11, 3, 11, 111, 73, 283, 23, 1925, 253, 5141, 12545, 24913, 16847, 13067, 0};
static int joe_kuo_d6_initial_number08865[] = {1, 3, 5, 5, 31, 39, 35, 235, 135, 85, 191, 999, 6633, 12527, 21401, 61339, 81239, 0};
static int joe_kuo_d6_initial_number08866[] = {1, 1, 3, 15, 9, 13, 39, 125, 137, 639, 555, 813, 2821, 1199, 32075, 15079, 104609, 0};
static int joe_kuo_d6_initial_number08867[] = {1, 3, 7, 7, 15, 43, 99, 51, 245, 25, 147, 89, 6841, 5523, 28493, 13967, 113109, 0};
static int joe_kuo_d6_initial_number08868[] = {1, 1, 3, 13, 7, 5, 27, 121, 269, 231, 1011, 1365, 5055, 11619, 27393, 48033, 65725, 0};
static int joe_kuo_d6_initial_number08869[] = {1, 1, 7, 5, 9, 23, 41, 71, 327, 339, 1681, 3303, 4143, 421, 15213, 48405, 98067, 0};
static int joe_kuo_d6_initial_number08870[] = {1, 3, 7, 15, 15, 33, 73, 33, 351, 131, 1051, 3909, 7535, 7659, 9443, 35015, 329, 0};
static int joe_kuo_d6_initial_number08871[] = {1, 1, 3, 9, 19, 55, 97, 223, 265, 877, 235, 867, 4961, 3137, 19885, 10955, 7655, 0};
static int joe_kuo_d6_initial_number08872[] = {1, 3, 5, 13, 1, 11, 75, 215, 271, 793, 1691, 1437, 1317, 10977, 1311, 64865, 92361, 0};
static int joe_kuo_d6_initial_number08873[] = {1, 1, 1, 5, 23, 23, 35, 53, 187, 345, 115, 929, 3919, 4523, 31709, 16771, 33399, 0};
static int joe_kuo_d6_initial_number08874[] = {1, 3, 5, 11, 17, 7, 75, 57, 351, 359, 1737, 2665, 4259, 13905, 6999, 45359, 117891, 0};
static int joe_kuo_d6_initial_number08875[] = {1, 1, 5, 3, 23, 29, 49, 209, 417, 843, 531, 1649, 7829, 6271, 3759, 39727, 47415, 0};
static int joe_kuo_d6_initial_number08876[] = {1, 1, 7, 1, 21, 45, 101, 105, 385, 797, 985, 1447, 3757, 3287, 583, 29283, 96821, 0};
static int joe_kuo_d6_initial_number08877[] = {1, 1, 7, 9, 1, 29, 15, 207, 289, 465, 815, 2289, 449, 9403, 19197, 13797, 102651, 0};
static int joe_kuo_d6_initial_number08878[] = {1, 3, 7, 15, 5, 45, 81, 187, 21, 433, 679, 2759, 3375, 6935, 22595, 50149, 13557, 0};
static int joe_kuo_d6_initial_number08879[] = {1, 3, 3, 5, 11, 55, 69, 219, 95, 21, 645, 1955, 7527, 6037, 29427, 36297, 62013, 0};
static int joe_kuo_d6_initial_number08880[] = {1, 1, 7, 15, 13, 35, 25, 67, 383, 13, 539, 2399, 4611, 8065, 3815, 27771, 50411, 0};
static int joe_kuo_d6_initial_number08881[] = {1, 3, 1, 3, 27, 47, 65, 33, 393, 895, 1663, 1289, 1057, 11887, 1259, 53611, 36811, 0};
static int joe_kuo_d6_initial_number08882[] = {1, 3, 5, 3, 5, 1, 27, 65, 379, 15, 1643, 1461, 3009, 8177, 15589, 5889, 1103, 0};
static int joe_kuo_d6_initial_number08883[] = {1, 1, 5, 15, 27, 53, 43, 173, 377, 665, 581, 1061, 1363, 15015, 26709, 29507, 28075, 0};
static int joe_kuo_d6_initial_number08884[] = {1, 1, 7, 3, 9, 11, 45, 71, 23, 995, 1277, 855, 1001, 12927, 19753, 46639, 16949, 0};
static int joe_kuo_d6_initial_number08885[] = {1, 1, 7, 5, 15, 33, 27, 27, 437, 415, 1785, 2091, 279, 8041, 2209, 15821, 122363, 0};
static int joe_kuo_d6_initial_number08886[] = {1, 1, 7, 1, 21, 1, 47, 215, 463, 959, 849, 1703, 5175, 10043, 16991, 11023, 52201, 0};
static int joe_kuo_d6_initial_number08887[] = {1, 1, 1, 11, 21, 7, 121, 31, 95, 631, 1717, 3017, 2083, 2047, 12051, 63117, 25949, 0};
static int joe_kuo_d6_initial_number08888[] = {1, 1, 5, 5, 9, 5, 105, 121, 205, 643, 1721, 2601, 2991, 2381, 4873, 12049, 20043, 0};
static int joe_kuo_d6_initial_number08889[] = {1, 3, 5, 11, 7, 11, 97, 187, 253, 571, 101, 3077, 1479, 9513, 15451, 37105, 34445, 0};
static int joe_kuo_d6_initial_number08890[] = {1, 1, 7, 11, 19, 19, 39, 115, 221, 13, 217, 369, 6855, 14529, 143, 13461, 62927, 0};
static int joe_kuo_d6_initial_number08891[] = {1, 3, 3, 7, 29, 27, 9, 171, 419, 571, 837, 3829, 1871, 12691, 30693, 4195, 38905, 0};
static int joe_kuo_d6_initial_number08892[] = {1, 1, 1, 11, 5, 55, 17, 41, 241, 419, 337, 897, 4663, 14469, 18701, 18009, 44605, 0};
static int joe_kuo_d6_initial_number08893[] = {1, 1, 7, 7, 1, 33, 63, 197, 257, 655, 1287, 2571, 57, 13275, 29669, 8501, 61389, 0};
static int joe_kuo_d6_initial_number08894[] = {1, 3, 5, 3, 29, 39, 101, 215, 101, 271, 1373, 2171, 841, 9865, 28951, 20369, 42413, 0};
static int joe_kuo_d6_initial_number08895[] = {1, 3, 5, 1, 31, 23, 119, 137, 263, 633, 1239, 281, 4965, 14913, 30229, 14147, 37183, 0};
static int joe_kuo_d6_initial_number08896[] = {1, 3, 1, 3, 11, 55, 33, 45, 69, 913, 269, 1021, 4005, 15191, 11187, 45917, 76905, 0};
static int joe_kuo_d6_initial_number08897[] = {1, 1, 1, 13, 27, 11, 75, 139, 243, 221, 1289, 2195, 7041, 10053, 5731, 35245, 41317, 0};
static int joe_kuo_d6_initial_number08898[] = {1, 1, 7, 9, 25, 11, 81, 243, 233, 137, 831, 2825, 6007, 7305, 31733, 64343, 7047, 0};
static int joe_kuo_d6_initial_number08899[] = {1, 3, 5, 9, 17, 61, 25, 245, 285, 969, 1397, 1331, 5393, 3653, 15533, 9121, 111115, 0};
static int joe_kuo_d6_initial_number08900[] = {1, 1, 5, 9, 1, 9, 61, 205, 285, 849, 1071, 1013, 2655, 10121, 15165, 25189, 56207, 0};
static int joe_kuo_d6_initial_number08901[] = {1, 3, 5, 7, 19, 45, 121, 19, 237, 711, 1523, 3251, 693, 13567, 31993, 11239, 64127, 0};
static int joe_kuo_d6_initial_number08902[] = {1, 1, 1, 11, 23, 25, 33, 211, 321, 1021, 1855, 291, 2911, 11841, 21929, 64147, 63201, 0};
static int joe_kuo_d6_initial_number08903[] = {1, 1, 7, 3, 27, 21, 119, 219, 431, 819, 83, 2487, 7533, 10697, 3129, 53301, 104999, 0};
static int joe_kuo_d6_initial_number08904[] = {1, 3, 5, 15, 9, 25, 89, 65, 293, 411, 989, 3103, 5563, 15703, 8757, 32595, 43409, 0};
static int joe_kuo_d6_initial_number08905[] = {1, 3, 3, 1, 31, 31, 45, 173, 231, 171, 1185, 1499, 1713, 9945, 11575, 37113, 103989, 0};
static int joe_kuo_d6_initial_number08906[] = {1, 1, 5, 13, 27, 3, 93, 253, 23, 71, 1963, 2571, 6259, 15757, 9709, 42835, 42047, 0};
static int joe_kuo_d6_initial_number08907[] = {1, 1, 7, 11, 5, 11, 123, 117, 39, 559, 111, 527, 6253, 781, 9177, 47189, 94031, 0};
static int joe_kuo_d6_initial_number08908[] = {1, 1, 5, 15, 5, 49, 93, 185, 167, 787, 1553, 3291, 3723, 1651, 23225, 5643, 42967, 0};
static int joe_kuo_d6_initial_number08909[] = {1, 3, 1, 13, 15, 35, 19, 193, 505, 127, 661, 1943, 1249, 5103, 8233, 64319, 76955, 0};
static int joe_kuo_d6_initial_number08910[] = {1, 3, 7, 7, 17, 13, 97, 185, 415, 331, 283, 3341, 2903, 2927, 7729, 4095, 103083, 0};
static int joe_kuo_d6_initial_number08911[] = {1, 1, 3, 15, 15, 25, 65, 45, 413, 521, 747, 2605, 5845, 12909, 7651, 45937, 99043, 0};
static int joe_kuo_d6_initial_number08912[] = {1, 1, 5, 9, 9, 21, 3, 75, 335, 745, 1493, 1721, 1977, 11105, 22621, 49281, 107113, 0};
static int joe_kuo_d6_initial_number08913[] = {1, 3, 1, 11, 25, 11, 99, 53, 239, 831, 655, 615, 7565, 14039, 29115, 26165, 127159, 0};
static int joe_kuo_d6_initial_number08914[] = {1, 1, 7, 5, 31, 35, 75, 157, 441, 815, 119, 565, 2703, 14059, 7867, 42487, 93647, 0};
static int joe_kuo_d6_initial_number08915[] = {1, 3, 7, 3, 3, 59, 101, 223, 257, 989, 363, 1059, 5157, 11129, 1481, 19287, 117623, 0};
static int joe_kuo_d6_initial_number08916[] = {1, 1, 1, 1, 29, 27, 1, 129, 253, 673, 103, 1881, 7053, 1261, 32003, 23345, 102503, 0};
static int joe_kuo_d6_initial_number08917[] = {1, 3, 1, 9, 11, 37, 3, 99, 303, 519, 1175, 3021, 2275, 9919, 25011, 45865, 71351, 0};
static int joe_kuo_d6_initial_number08918[] = {1, 1, 7, 15, 27, 9, 107, 61, 385, 21, 861, 2119, 4643, 8379, 25455, 22425, 113387, 0};
static int joe_kuo_d6_initial_number08919[] = {1, 1, 1, 7, 27, 15, 73, 211, 497, 527, 873, 329, 2213, 415, 13987, 56581, 27829, 0};
static int joe_kuo_d6_initial_number08920[] = {1, 3, 5, 1, 31, 43, 107, 149, 209, 211, 2029, 2793, 2213, 12389, 27177, 51375, 51983, 0};
static int joe_kuo_d6_initial_number08921[] = {1, 3, 3, 7, 25, 57, 67, 101, 127, 43, 1775, 801, 3343, 12203, 8667, 58387, 10735, 0};
static int joe_kuo_d6_initial_number08922[] = {1, 1, 7, 5, 13, 47, 101, 123, 133, 593, 1409, 3525, 2545, 13009, 11873, 38463, 1075, 0};
static int joe_kuo_d6_initial_number08923[] = {1, 3, 3, 1, 3, 19, 75, 221, 157, 67, 397, 1141, 5073, 10795, 9857, 35459, 62701, 0};
static int joe_kuo_d6_initial_number08924[] = {1, 1, 7, 7, 23, 17, 41, 179, 83, 543, 1839, 3709, 131, 15681, 9147, 18685, 90389, 0};
static int joe_kuo_d6_initial_number08925[] = {1, 1, 5, 7, 17, 15, 31, 217, 79, 687, 1927, 2889, 6127, 15095, 28437, 16403, 123275, 0};
static int joe_kuo_d6_initial_number08926[] = {1, 3, 7, 15, 13, 17, 123, 75, 45, 635, 525, 3897, 6769, 13855, 16695, 18039, 37479, 0};
static int joe_kuo_d6_initial_number08927[] = {1, 1, 5, 1, 23, 15, 69, 161, 503, 339, 1061, 839, 9, 10013, 24493, 32711, 50147, 0};
static int joe_kuo_d6_initial_number08928[] = {1, 3, 3, 11, 5, 45, 9, 233, 131, 629, 1111, 3311, 2211, 9079, 19763, 23793, 85389, 0};
static int joe_kuo_d6_initial_number08929[] = {1, 1, 7, 7, 7, 27, 15, 85, 291, 925, 1545, 3061, 4867, 1613, 13467, 53731, 92811, 0};
static int joe_kuo_d6_initial_number08930[] = {1, 3, 5, 1, 21, 21, 71, 33, 141, 675, 1519, 3275, 1491, 10717, 28199, 14983, 18961, 0};
static int joe_kuo_d6_initial_number08931[] = {1, 3, 5, 5, 31, 13, 109, 239, 369, 373, 257, 3765, 2531, 13281, 11877, 29439, 106939, 0};
static int joe_kuo_d6_initial_number08932[] = {1, 3, 7, 15, 13, 39, 111, 203, 109, 179, 789, 3849, 433, 5745, 2343, 15795, 92603, 0};
static int joe_kuo_d6_initial_number08933[] = {1, 3, 5, 5, 11, 57, 3, 245, 289, 249, 713, 315, 2261, 1249, 6963, 44507, 100829, 0};
static int joe_kuo_d6_initial_number08934[] = {1, 3, 5, 11, 5, 49, 97, 245, 363, 315, 509, 17, 4485, 15393, 28491, 17945, 65663, 0};
static int joe_kuo_d6_initial_number08935[] = {1, 3, 5, 1, 5, 13, 15, 17, 141, 119, 1393, 581, 2439, 2015, 11527, 8537, 103005, 0};
static int joe_kuo_d6_initial_number08936[] = {1, 3, 5, 1, 25, 9, 117, 25, 99, 777, 985, 1159, 99, 3013, 21429, 19027, 61833, 0};
static int joe_kuo_d6_initial_number08937[] = {1, 1, 1, 5, 1, 47, 37, 83, 159, 29, 281, 3789, 2525, 15999, 8965, 11145, 14453, 0};
static int joe_kuo_d6_initial_number08938[] = {1, 1, 3, 1, 11, 63, 77, 207, 267, 473, 241, 629, 6969, 9093, 839, 3875, 18873, 0};
static int joe_kuo_d6_initial_number08939[] = {1, 3, 5, 7, 31, 57, 103, 65, 349, 321, 717, 2403, 105, 643, 27999, 2509, 123061, 0};
static int joe_kuo_d6_initial_number08940[] = {1, 1, 5, 7, 3, 31, 7, 113, 17, 995, 1211, 1749, 6757, 3391, 8011, 47715, 24301, 0};
static int joe_kuo_d6_initial_number08941[] = {1, 3, 7, 11, 7, 55, 29, 155, 373, 81, 1255, 2205, 3233, 9537, 22129, 24505, 79021, 0};
static int joe_kuo_d6_initial_number08942[] = {1, 1, 7, 5, 3, 49, 5, 51, 89, 107, 585, 3933, 745, 11685, 20663, 12521, 24357, 0};
static int joe_kuo_d6_initial_number08943[] = {1, 1, 7, 1, 17, 17, 83, 215, 357, 581, 2025, 3411, 7287, 11925, 2253, 43513, 98655, 0};
static int joe_kuo_d6_initial_number08944[] = {1, 3, 5, 3, 27, 27, 51, 147, 471, 509, 423, 3807, 677, 8429, 581, 47999, 35913, 0};
static int joe_kuo_d6_initial_number08945[] = {1, 3, 3, 9, 15, 31, 1, 93, 207, 759, 1991, 473, 2273, 43, 12547, 58085, 20953, 0};
static int joe_kuo_d6_initial_number08946[] = {1, 1, 3, 3, 1, 27, 39, 219, 381, 187, 159, 2333, 6141, 3775, 5693, 14853, 38765, 0};
static int joe_kuo_d6_initial_number08947[] = {1, 3, 1, 5, 19, 1, 19, 237, 231, 975, 1609, 723, 241, 10105, 18817, 58373, 118889, 0};
static int joe_kuo_d6_initial_number08948[] = {1, 1, 5, 7, 7, 43, 99, 181, 109, 529, 421, 1493, 1075, 12219, 24287, 33479, 29987, 0};
static int joe_kuo_d6_initial_number08949[] = {1, 1, 7, 1, 17, 11, 79, 85, 157, 851, 1429, 3355, 139, 14327, 30025, 60303, 109015, 0};
static int joe_kuo_d6_initial_number08950[] = {1, 3, 5, 9, 11, 15, 37, 79, 5, 169, 999, 815, 6255, 11763, 16299, 49891, 101917, 0};
static int joe_kuo_d6_initial_number08951[] = {1, 3, 5, 9, 29, 45, 51, 211, 159, 771, 1631, 2871, 4877, 4941, 18127, 15669, 57515, 0};
static int joe_kuo_d6_initial_number08952[] = {1, 1, 3, 3, 19, 29, 9, 205, 253, 399, 303, 2441, 3187, 641, 23341, 52951, 57559, 0};
static int joe_kuo_d6_initial_number08953[] = {1, 3, 3, 15, 11, 29, 121, 227, 69, 935, 365, 217, 4617, 13193, 27663, 46903, 107843, 0};
static int joe_kuo_d6_initial_number08954[] = {1, 1, 5, 11, 13, 31, 13, 243, 275, 685, 1613, 1915, 2775, 11225, 4729, 45549, 103875, 0};
static int joe_kuo_d6_initial_number08955[] = {1, 1, 5, 1, 9, 61, 35, 143, 165, 441, 517, 1735, 5281, 10139, 21107, 11713, 130483, 0};
static int joe_kuo_d6_initial_number08956[] = {1, 3, 5, 5, 13, 21, 7, 219, 97, 887, 1845, 469, 2523, 1569, 9959, 4397, 15823, 0};
static int joe_kuo_d6_initial_number08957[] = {1, 3, 7, 11, 15, 27, 73, 223, 365, 939, 331, 145, 683, 6441, 23421, 59177, 31763, 0};
static int joe_kuo_d6_initial_number08958[] = {1, 3, 1, 5, 9, 59, 85, 113, 343, 831, 121, 3157, 6059, 14923, 27401, 19759, 14223, 0};
static int joe_kuo_d6_initial_number08959[] = {1, 3, 1, 7, 17, 25, 3, 39, 471, 759, 2041, 609, 4293, 7491, 8041, 50857, 25601, 0};
static int joe_kuo_d6_initial_number08960[] = {1, 1, 5, 15, 19, 45, 21, 5, 269, 197, 527, 1839, 1719, 15105, 18671, 42167, 9617, 0};
static int joe_kuo_d6_initial_number08961[] = {1, 3, 1, 3, 5, 35, 3, 105, 395, 113, 1945, 3945, 3951, 12207, 32135, 34121, 10237, 0};
static int joe_kuo_d6_initial_number08962[] = {1, 1, 5, 13, 21, 43, 51, 255, 57, 399, 1937, 1573, 363, 11589, 26989, 54345, 94341, 0};
static int joe_kuo_d6_initial_number08963[] = {1, 3, 3, 3, 5, 45, 83, 125, 179, 923, 39, 3617, 7683, 8191, 31469, 23633, 79179, 0};
static int joe_kuo_d6_initial_number08964[] = {1, 3, 7, 9, 9, 37, 107, 65, 423, 77, 1779, 1375, 2085, 11779, 6535, 2973, 29425, 0};
static int joe_kuo_d6_initial_number08965[] = {1, 1, 7, 3, 11, 39, 101, 137, 407, 855, 1767, 1717, 2821, 10447, 31187, 6329, 124111, 0};
static int joe_kuo_d6_initial_number08966[] = {1, 1, 5, 11, 27, 27, 45, 103, 225, 681, 725, 1791, 2881, 2923, 14473, 12269, 58743, 0};
static int joe_kuo_d6_initial_number08967[] = {1, 1, 3, 11, 15, 39, 113, 167, 143, 677, 1189, 1571, 5339, 6065, 30187, 19639, 42227, 0};
static int joe_kuo_d6_initial_number08968[] = {1, 1, 1, 3, 13, 7, 113, 75, 129, 619, 1741, 1495, 4751, 11085, 22391, 199, 105463, 0};
static int joe_kuo_d6_initial_number08969[] = {1, 1, 3, 3, 19, 47, 77, 195, 209, 453, 495, 1605, 5255, 15327, 8941, 18239, 54511, 0};
static int joe_kuo_d6_initial_number08970[] = {1, 1, 7, 7, 21, 29, 95, 175, 3, 689, 611, 2467, 6919, 12399, 18869, 16171, 102753, 0};
static int joe_kuo_d6_initial_number08971[] = {1, 1, 5, 1, 27, 43, 61, 133, 37, 603, 315, 1915, 813, 15769, 27447, 29589, 122281, 0};
static int joe_kuo_d6_initial_number08972[] = {1, 1, 7, 3, 11, 1, 119, 235, 93, 481, 1811, 1643, 4853, 11313, 8991, 6153, 68985, 0};
static int joe_kuo_d6_initial_number08973[] = {1, 1, 1, 7, 1, 13, 99, 83, 221, 775, 1345, 219, 4445, 11837, 10405, 43563, 122111, 0};
static int joe_kuo_d6_initial_number08974[] = {1, 1, 5, 13, 21, 33, 105, 19, 343, 571, 703, 429, 2485, 15531, 9801, 24101, 88275, 0};
static int joe_kuo_d6_initial_number08975[] = {1, 3, 5, 1, 27, 55, 73, 49, 33, 773, 1411, 1227, 6827, 1271, 28897, 24265, 32383, 0};
static int joe_kuo_d6_initial_number08976[] = {1, 3, 7, 3, 9, 45, 59, 5, 157, 669, 261, 2077, 1425, 8221, 5849, 40857, 121029, 0};
static int joe_kuo_d6_initial_number08977[] = {1, 3, 7, 11, 23, 5, 87, 113, 279, 611, 1195, 1775, 5813, 6737, 18051, 41341, 93331, 0};
static int joe_kuo_d6_initial_number08978[] = {1, 1, 7, 7, 9, 55, 113, 3, 167, 295, 1579, 2833, 4003, 7583, 22833, 44427, 34781, 0};
static int joe_kuo_d6_initial_number08979[] = {1, 1, 5, 13, 21, 33, 127, 175, 153, 961, 819, 143, 3969, 6159, 29437, 14123, 65317, 0};
static int joe_kuo_d6_initial_number08980[] = {1, 1, 1, 15, 31, 27, 1, 17, 329, 963, 1907, 421, 535, 2323, 22749, 44375, 115531, 0};
static int joe_kuo_d6_initial_number08981[] = {1, 1, 5, 15, 15, 23, 57, 171, 253, 401, 1577, 3855, 197, 7979, 17577, 25275, 88831, 0};
static int joe_kuo_d6_initial_number08982[] = {1, 1, 7, 9, 27, 9, 7, 13, 381, 847, 533, 357, 6551, 13441, 5717, 20209, 64347, 0};
static int joe_kuo_d6_initial_number08983[] = {1, 1, 7, 9, 1, 1, 31, 245, 315, 901, 1857, 497, 4285, 13227, 3937, 45025, 59627, 0};
static int joe_kuo_d6_initial_number08984[] = {1, 1, 7, 3, 5, 23, 119, 147, 479, 71, 113, 3379, 863, 8285, 31259, 15863, 47267, 0};
static int joe_kuo_d6_initial_number08985[] = {1, 3, 5, 1, 5, 7, 77, 163, 421, 353, 1757, 1335, 4975, 3011, 11703, 56075, 12045, 0};
static int joe_kuo_d6_initial_number08986[] = {1, 1, 5, 3, 31, 25, 81, 59, 211, 463, 1693, 609, 3307, 3641, 19643, 29361, 8399, 0};
static int joe_kuo_d6_initial_number08987[] = {1, 1, 7, 13, 19, 47, 43, 43, 275, 735, 535, 3689, 3987, 10695, 17243, 60565, 72299, 0};
static int joe_kuo_d6_initial_number08988[] = {1, 3, 3, 5, 25, 35, 75, 63, 305, 127, 189, 1785, 731, 12089, 27811, 43259, 28191, 0};
static int joe_kuo_d6_initial_number08989[] = {1, 3, 7, 11, 17, 17, 59, 107, 139, 355, 1055, 3181, 4743, 14785, 26323, 441, 35613, 0};
static int joe_kuo_d6_initial_number08990[] = {1, 3, 1, 1, 17, 17, 39, 203, 373, 601, 449, 1837, 835, 7061, 14655, 61765, 80735, 0};
static int joe_kuo_d6_initial_number08991[] = {1, 3, 5, 7, 27, 17, 25, 41, 125, 895, 1843, 3167, 1527, 4707, 6477, 33575, 97247, 0};
static int joe_kuo_d6_initial_number08992[] = {1, 3, 3, 3, 13, 39, 25, 15, 279, 347, 1121, 3603, 3019, 9577, 16863, 61483, 15995, 0};
static int joe_kuo_d6_initial_number08993[] = {1, 3, 5, 11, 15, 33, 15, 81, 185, 289, 909, 1237, 3623, 3983, 24211, 62719, 79685, 0};
static int joe_kuo_d6_initial_number08994[] = {1, 1, 1, 7, 29, 1, 53, 17, 137, 269, 1209, 3937, 4167, 14057, 8061, 38863, 101477, 0};
static int joe_kuo_d6_initial_number08995[] = {1, 1, 1, 9, 5, 45, 95, 127, 507, 159, 1763, 1527, 5689, 11007, 549, 22837, 99207, 0};
static int joe_kuo_d6_initial_number08996[] = {1, 3, 3, 1, 15, 57, 127, 39, 73, 397, 67, 3159, 119, 8929, 29425, 57687, 68063, 0};
static int joe_kuo_d6_initial_number08997[] = {1, 3, 1, 3, 27, 7, 111, 209, 291, 17, 1381, 1597, 5389, 4577, 20463, 28325, 23743, 0};
static int joe_kuo_d6_initial_number08998[] = {1, 3, 3, 7, 23, 41, 83, 81, 213, 537, 1037, 2371, 1485, 8391, 12471, 58541, 27559, 0};
static int joe_kuo_d6_initial_number08999[] = {1, 3, 1, 15, 21, 43, 87, 75, 451, 851, 1917, 2739, 2167, 12531, 29931, 8017, 15163, 0};
static int joe_kuo_d6_initial_number09000[] = {1, 1, 3, 9, 27, 19, 41, 145, 401, 759, 527, 3085, 187, 10615, 4995, 22421, 69867, 0};
static int joe_kuo_d6_initial_number09001[] = {1, 3, 3, 13, 29, 51, 65, 47, 157, 609, 1061, 1913, 6195, 12503, 10375, 55819, 122091, 0};
static int joe_kuo_d6_initial_number09002[] = {1, 1, 3, 7, 1, 19, 3, 149, 453, 279, 569, 3429, 331, 711, 26773, 21163, 129339, 0};
static int joe_kuo_d6_initial_number09003[] = {1, 1, 5, 3, 7, 47, 39, 181, 115, 771, 2037, 411, 2697, 7501, 6393, 19461, 74967, 0};
static int joe_kuo_d6_initial_number09004[] = {1, 3, 3, 5, 5, 17, 89, 161, 409, 49, 1447, 3977, 4777, 15553, 3521, 32553, 126385, 0};
static int joe_kuo_d6_initial_number09005[] = {1, 3, 1, 3, 25, 59, 73, 105, 505, 1009, 1147, 317, 3457, 13743, 8337, 38077, 7709, 0};
static int joe_kuo_d6_initial_number09006[] = {1, 3, 3, 15, 23, 37, 25, 123, 413, 911, 637, 2345, 691, 15199, 22927, 52467, 126715, 0};
static int joe_kuo_d6_initial_number09007[] = {1, 1, 5, 1, 9, 51, 93, 123, 269, 45, 1947, 179, 5091, 3743, 31491, 39771, 119175, 0};
static int joe_kuo_d6_initial_number09008[] = {1, 3, 1, 5, 29, 23, 107, 183, 25, 115, 187, 857, 7337, 469, 8755, 17281, 45941, 0};
static int joe_kuo_d6_initial_number09009[] = {1, 3, 1, 13, 25, 61, 85, 115, 181, 955, 1365, 837, 5941, 13209, 27009, 58865, 115149, 0};
static int joe_kuo_d6_initial_number09010[] = {1, 1, 1, 11, 31, 63, 101, 29, 37, 185, 465, 2651, 6249, 6887, 25021, 60539, 50037, 0};
static int joe_kuo_d6_initial_number09011[] = {1, 3, 1, 7, 7, 61, 57, 243, 143, 223, 1759, 4085, 6765, 13293, 31929, 29579, 35053, 0};
static int joe_kuo_d6_initial_number09012[] = {1, 3, 1, 3, 29, 9, 121, 3, 285, 199, 1439, 3151, 5059, 8535, 17049, 38917, 46347, 0};
static int joe_kuo_d6_initial_number09013[] = {1, 3, 1, 3, 17, 43, 63, 87, 427, 341, 1251, 3775, 7729, 3183, 10579, 917, 49035, 0};
static int joe_kuo_d6_initial_number09014[] = {1, 1, 7, 3, 5, 59, 119, 227, 495, 345, 841, 2021, 2483, 15987, 24663, 9819, 33009, 0};
static int joe_kuo_d6_initial_number09015[] = {1, 1, 5, 11, 19, 57, 23, 181, 63, 991, 1, 2927, 4785, 9645, 17435, 55627, 1069, 0};
static int joe_kuo_d6_initial_number09016[] = {1, 1, 7, 1, 31, 11, 57, 123, 279, 815, 1407, 3509, 3963, 8503, 20345, 7777, 103701, 0};
static int joe_kuo_d6_initial_number09017[] = {1, 1, 5, 5, 19, 51, 37, 15, 363, 939, 1863, 3485, 7073, 3035, 31279, 7289, 39811, 0};
static int joe_kuo_d6_initial_number09018[] = {1, 1, 3, 3, 3, 41, 29, 37, 311, 535, 1993, 3937, 309, 13055, 22595, 59641, 95317, 0};
static int joe_kuo_d6_initial_number09019[] = {1, 3, 7, 9, 19, 29, 23, 181, 503, 223, 1655, 997, 7861, 5867, 16979, 4559, 7447, 0};
static int joe_kuo_d6_initial_number09020[] = {1, 3, 5, 3, 13, 13, 3, 137, 361, 101, 1005, 2339, 609, 11891, 15245, 9653, 63579, 0};
static int joe_kuo_d6_initial_number09021[] = {1, 1, 1, 15, 31, 15, 117, 151, 51, 805, 1403, 3243, 4007, 11979, 3945, 61935, 43225, 0};
static int joe_kuo_d6_initial_number09022[] = {1, 1, 7, 3, 1, 43, 93, 105, 9, 555, 731, 655, 2097, 8015, 27557, 27985, 11323, 0};
static int joe_kuo_d6_initial_number09023[] = {1, 3, 3, 9, 23, 35, 59, 217, 437, 755, 685, 1431, 2965, 5269, 25621, 21735, 1397, 0};
static int joe_kuo_d6_initial_number09024[] = {1, 1, 5, 1, 9, 61, 41, 53, 101, 111, 531, 3385, 4771, 9535, 15995, 29687, 99035, 0};
static int joe_kuo_d6_initial_number09025[] = {1, 1, 7, 7, 1, 3, 25, 251, 463, 99, 677, 1889, 3697, 5579, 11429, 38301, 57917, 0};
static int joe_kuo_d6_initial_number09026[] = {1, 1, 5, 9, 11, 15, 65, 31, 369, 825, 1229, 1595, 3891, 5235, 16973, 25307, 7805, 0};
static int joe_kuo_d6_initial_number09027[] = {1, 3, 7, 15, 27, 37, 35, 103, 393, 781, 1713, 2009, 1973, 15461, 6801, 17557, 105139, 0};
static int joe_kuo_d6_initial_number09028[] = {1, 3, 7, 7, 17, 51, 83, 29, 113, 173, 1733, 2137, 3041, 11361, 15999, 25779, 112493, 0};
static int joe_kuo_d6_initial_number09029[] = {1, 3, 5, 11, 19, 3, 89, 103, 449, 375, 437, 4077, 889, 12163, 29323, 48845, 7783, 0};
static int joe_kuo_d6_initial_number09030[] = {1, 3, 7, 1, 19, 25, 83, 35, 203, 27, 507, 25, 6629, 13941, 6187, 17533, 83349, 0};
static int joe_kuo_d6_initial_number09031[] = {1, 3, 5, 9, 15, 59, 3, 87, 473, 733, 1263, 1733, 4275, 9283, 32535, 20807, 59487, 0};
static int joe_kuo_d6_initial_number09032[] = {1, 3, 3, 9, 19, 11, 27, 83, 355, 949, 1339, 171, 921, 14171, 16271, 41485, 20405, 0};
static int joe_kuo_d6_initial_number09033[] = {1, 1, 3, 11, 25, 51, 9, 241, 367, 519, 1895, 429, 7689, 9469, 32709, 46363, 75767, 0};
static int joe_kuo_d6_initial_number09034[] = {1, 1, 7, 7, 27, 59, 85, 87, 467, 273, 1763, 391, 451, 16165, 7501, 44779, 68281, 0};
static int joe_kuo_d6_initial_number09035[] = {1, 1, 7, 5, 1, 35, 5, 217, 31, 145, 1151, 2255, 3543, 401, 17141, 5981, 25183, 0};
static int joe_kuo_d6_initial_number09036[] = {1, 1, 1, 13, 11, 11, 19, 93, 95, 751, 31, 1091, 2733, 10517, 2553, 5247, 42651, 0};
static int joe_kuo_d6_initial_number09037[] = {1, 3, 7, 5, 15, 1, 67, 21, 303, 137, 355, 1989, 5211, 4985, 645, 6867, 126931, 0};
static int joe_kuo_d6_initial_number09038[] = {1, 1, 3, 15, 21, 23, 59, 209, 121, 623, 575, 2447, 6149, 10481, 4959, 22913, 64963, 0};
static int joe_kuo_d6_initial_number09039[] = {1, 3, 1, 1, 25, 55, 47, 95, 215, 609, 639, 1023, 1579, 5953, 3063, 13721, 17607, 0};
static int joe_kuo_d6_initial_number09040[] = {1, 1, 1, 11, 7, 61, 127, 173, 307, 623, 453, 3827, 4847, 16085, 4407, 4043, 14881, 0};
static int joe_kuo_d6_initial_number09041[] = {1, 1, 7, 11, 5, 15, 51, 125, 439, 795, 203, 91, 3543, 6925, 32055, 52277, 26841, 0};
static int joe_kuo_d6_initial_number09042[] = {1, 1, 1, 13, 15, 9, 107, 183, 391, 751, 243, 1105, 8031, 7443, 137, 45695, 80163, 0};
static int joe_kuo_d6_initial_number09043[] = {1, 3, 5, 9, 5, 61, 117, 113, 121, 291, 225, 1705, 4017, 13113, 11035, 28613, 25927, 0};
static int joe_kuo_d6_initial_number09044[] = {1, 1, 3, 11, 27, 9, 45, 85, 309, 991, 1639, 1183, 8013, 14587, 7563, 21111, 48497, 0};
static int joe_kuo_d6_initial_number09045[] = {1, 3, 1, 9, 21, 61, 123, 189, 265, 593, 163, 3681, 2271, 2795, 753, 48019, 129507, 0};
static int joe_kuo_d6_initial_number09046[] = {1, 1, 1, 5, 31, 51, 127, 79, 333, 177, 1723, 1365, 2055, 3063, 10693, 61223, 60659, 0};
static int joe_kuo_d6_initial_number09047[] = {1, 3, 7, 15, 9, 11, 11, 223, 31, 397, 319, 3283, 3765, 4729, 4711, 58323, 114063, 0};
static int joe_kuo_d6_initial_number09048[] = {1, 1, 7, 11, 7, 63, 107, 215, 19, 491, 131, 2491, 6373, 11081, 2159, 1311, 109547, 0};
static int joe_kuo_d6_initial_number09049[] = {1, 3, 5, 5, 21, 13, 105, 21, 193, 447, 1331, 2439, 4165, 15689, 21273, 4007, 55161, 0};
static int joe_kuo_d6_initial_number09050[] = {1, 3, 5, 11, 19, 47, 25, 211, 335, 437, 1041, 2093, 7239, 2869, 18273, 40505, 13681, 0};
static int joe_kuo_d6_initial_number09051[] = {1, 3, 3, 15, 7, 13, 127, 59, 439, 163, 1841, 1945, 4915, 16269, 18315, 15057, 43197, 0};
static int joe_kuo_d6_initial_number09052[] = {1, 1, 3, 3, 15, 33, 101, 241, 131, 353, 1749, 3965, 1231, 8167, 9309, 40337, 4419, 0};
static int joe_kuo_d6_initial_number09053[] = {1, 3, 1, 1, 1, 43, 33, 129, 137, 889, 799, 2937, 3633, 4769, 2411, 56059, 585, 0};
static int joe_kuo_d6_initial_number09054[] = {1, 1, 3, 9, 25, 31, 45, 199, 229, 175, 1099, 1143, 1721, 11811, 22757, 59843, 117813, 0};
static int joe_kuo_d6_initial_number09055[] = {1, 1, 7, 7, 19, 45, 43, 101, 219, 209, 1169, 599, 5523, 2463, 15161, 16675, 85111, 0};
static int joe_kuo_d6_initial_number09056[] = {1, 1, 3, 15, 23, 27, 91, 51, 397, 705, 651, 2345, 3875, 10005, 29523, 42805, 76891, 0};
static int joe_kuo_d6_initial_number09057[] = {1, 3, 3, 5, 29, 49, 17, 233, 149, 821, 1953, 1931, 7127, 957, 6477, 21259, 126657, 0};
static int joe_kuo_d6_initial_number09058[] = {1, 3, 3, 3, 27, 49, 57, 145, 143, 1, 583, 3987, 651, 12285, 20139, 51063, 21449, 0};
static int joe_kuo_d6_initial_number09059[] = {1, 1, 3, 5, 29, 61, 41, 93, 277, 111, 395, 2929, 5325, 15183, 3981, 23799, 72781, 0};
static int joe_kuo_d6_initial_number09060[] = {1, 1, 7, 5, 25, 43, 85, 137, 401, 261, 1183, 3959, 1983, 16209, 30523, 429, 109181, 0};
static int joe_kuo_d6_initial_number09061[] = {1, 1, 1, 5, 7, 19, 79, 237, 373, 929, 907, 1771, 6991, 211, 5269, 2135, 32051, 0};
static int joe_kuo_d6_initial_number09062[] = {1, 1, 7, 5, 17, 15, 41, 49, 363, 15, 1483, 1017, 2439, 11713, 19983, 26275, 11945, 0};
static int joe_kuo_d6_initial_number09063[] = {1, 1, 7, 7, 19, 5, 55, 15, 15, 573, 1075, 3225, 6815, 11893, 18417, 50833, 71903, 0};
static int joe_kuo_d6_initial_number09064[] = {1, 1, 7, 9, 23, 37, 75, 3, 477, 291, 37, 1861, 2697, 13369, 24573, 27285, 96757, 0};
static int joe_kuo_d6_initial_number09065[] = {1, 1, 1, 13, 5, 29, 65, 195, 365, 465, 865, 2705, 5249, 7051, 3795, 56611, 72317, 0};
static int joe_kuo_d6_initial_number09066[] = {1, 1, 3, 9, 19, 9, 85, 239, 509, 313, 1137, 2221, 5475, 71, 11901, 1877, 68701, 0};
static int joe_kuo_d6_initial_number09067[] = {1, 3, 3, 7, 3, 53, 55, 223, 441, 159, 933, 2573, 3441, 3295, 25005, 29021, 97145, 0};
static int joe_kuo_d6_initial_number09068[] = {1, 3, 5, 5, 3, 11, 101, 181, 293, 319, 47, 2971, 387, 4697, 26613, 8531, 20461, 0};
static int joe_kuo_d6_initial_number09069[] = {1, 3, 3, 13, 17, 11, 41, 233, 455, 353, 1817, 3065, 4657, 1717, 3039, 10937, 107085, 0};
static int joe_kuo_d6_initial_number09070[] = {1, 1, 7, 1, 17, 23, 85, 5, 291, 725, 1791, 3525, 7705, 6561, 25311, 44679, 21419, 0};
static int joe_kuo_d6_initial_number09071[] = {1, 1, 7, 1, 23, 41, 97, 117, 435, 261, 2007, 965, 6913, 12245, 25723, 8445, 30871, 0};
static int joe_kuo_d6_initial_number09072[] = {1, 1, 1, 15, 29, 39, 101, 33, 55, 1019, 1431, 2601, 3837, 14873, 11785, 12449, 30815, 0};
static int joe_kuo_d6_initial_number09073[] = {1, 1, 5, 3, 15, 35, 101, 7, 479, 535, 1875, 2435, 1461, 13967, 2755, 45879, 93561, 0};
static int joe_kuo_d6_initial_number09074[] = {1, 3, 1, 5, 29, 57, 89, 209, 473, 289, 1843, 2051, 3997, 1753, 18179, 41355, 89301, 0};
static int joe_kuo_d6_initial_number09075[] = {1, 3, 1, 11, 17, 45, 47, 57, 109, 309, 1009, 653, 5175, 15599, 21617, 35353, 55253, 0};
static int joe_kuo_d6_initial_number09076[] = {1, 3, 5, 3, 1, 11, 57, 83, 385, 765, 1887, 785, 2115, 8689, 14783, 14841, 122221, 0};
static int joe_kuo_d6_initial_number09077[] = {1, 3, 5, 11, 11, 5, 77, 115, 189, 371, 887, 3653, 8159, 15737, 6763, 52807, 128841, 0};
static int joe_kuo_d6_initial_number09078[] = {1, 1, 1, 11, 11, 33, 9, 145, 439, 565, 171, 3867, 7149, 4369, 15073, 3277, 25873, 0};
static int joe_kuo_d6_initial_number09079[] = {1, 1, 3, 1, 11, 9, 17, 255, 129, 835, 1705, 1551, 877, 4831, 12717, 2549, 62723, 0};
static int joe_kuo_d6_initial_number09080[] = {1, 1, 7, 11, 17, 33, 21, 195, 143, 153, 1855, 1323, 1225, 16359, 16479, 8883, 76449, 0};
static int joe_kuo_d6_initial_number09081[] = {1, 1, 1, 5, 31, 23, 61, 53, 77, 465, 1983, 4019, 4865, 14721, 18601, 48179, 100453, 0};
static int joe_kuo_d6_initial_number09082[] = {1, 3, 1, 13, 19, 53, 83, 63, 165, 393, 469, 1465, 2669, 10155, 7029, 26185, 121223, 0};
static int joe_kuo_d6_initial_number09083[] = {1, 1, 1, 3, 3, 3, 123, 23, 45, 359, 1063, 847, 3943, 6113, 23749, 30323, 10583, 0};
static int joe_kuo_d6_initial_number09084[] = {1, 3, 5, 15, 1, 55, 65, 149, 139, 217, 141, 2425, 7019, 14127, 11725, 50821, 52643, 0};
static int joe_kuo_d6_initial_number09085[] = {1, 3, 5, 15, 13, 13, 15, 93, 457, 869, 117, 585, 7159, 5957, 15073, 21861, 118119, 0};
static int joe_kuo_d6_initial_number09086[] = {1, 3, 1, 15, 3, 31, 29, 245, 47, 895, 197, 1169, 945, 11503, 26615, 14079, 27175, 0};
static int joe_kuo_d6_initial_number09087[] = {1, 3, 5, 5, 31, 1, 107, 109, 253, 999, 1451, 2243, 6675, 10779, 26181, 64597, 16443, 0};
static int joe_kuo_d6_initial_number09088[] = {1, 3, 7, 15, 9, 53, 25, 41, 151, 197, 1955, 2365, 5305, 2901, 24825, 9595, 57377, 0};
static int joe_kuo_d6_initial_number09089[] = {1, 3, 1, 3, 25, 37, 37, 193, 417, 373, 1127, 3239, 4583, 2861, 14501, 64163, 30055, 0};
static int joe_kuo_d6_initial_number09090[] = {1, 3, 7, 9, 7, 21, 49, 231, 241, 95, 1757, 2281, 2679, 1611, 11115, 31743, 26851, 0};
static int joe_kuo_d6_initial_number09091[] = {1, 3, 5, 5, 1, 1, 23, 173, 195, 593, 1639, 1449, 4733, 2451, 12677, 31959, 128217, 0};
static int joe_kuo_d6_initial_number09092[] = {1, 1, 1, 7, 17, 49, 117, 253, 167, 721, 889, 3027, 7781, 13521, 15477, 17981, 95487, 0};
static int joe_kuo_d6_initial_number09093[] = {1, 1, 1, 15, 13, 47, 125, 9, 33, 567, 1733, 1263, 307, 10285, 6325, 55827, 39823, 0};
static int joe_kuo_d6_initial_number09094[] = {1, 1, 1, 15, 23, 3, 11, 169, 369, 667, 313, 2287, 6655, 16067, 5915, 8605, 92177, 0};
static int joe_kuo_d6_initial_number09095[] = {1, 3, 3, 15, 13, 21, 125, 111, 171, 785, 79, 2281, 1247, 11321, 30397, 28555, 84863, 0};
static int joe_kuo_d6_initial_number09096[] = {1, 1, 5, 13, 1, 31, 123, 97, 127, 245, 1213, 2381, 3545, 13545, 28657, 54087, 79039, 0};
static int joe_kuo_d6_initial_number09097[] = {1, 1, 7, 9, 9, 21, 87, 111, 27, 33, 843, 199, 1465, 6555, 8019, 39521, 98883, 0};
static int joe_kuo_d6_initial_number09098[] = {1, 3, 3, 5, 5, 55, 61, 219, 279, 207, 1811, 667, 2989, 3133, 25213, 51979, 87695, 0};
static int joe_kuo_d6_initial_number09099[] = {1, 1, 7, 3, 17, 11, 31, 97, 277, 385, 229, 3045, 557, 13521, 32733, 36831, 43003, 0};
static int joe_kuo_d6_initial_number09100[] = {1, 3, 5, 13, 27, 57, 31, 207, 147, 405, 1495, 2471, 4889, 14861, 4861, 28185, 62363, 0};
static int joe_kuo_d6_initial_number09101[] = {1, 1, 5, 13, 23, 19, 5, 21, 509, 299, 1077, 1747, 6229, 2375, 17903, 58473, 72637, 0};
static int joe_kuo_d6_initial_number09102[] = {1, 3, 7, 11, 15, 61, 63, 165, 27, 461, 1359, 3375, 3029, 9907, 17393, 11097, 43593, 0};
static int joe_kuo_d6_initial_number09103[] = {1, 3, 5, 1, 17, 29, 15, 5, 419, 19, 1981, 3169, 2389, 9169, 31697, 26201, 6997, 0};
static int joe_kuo_d6_initial_number09104[] = {1, 3, 3, 1, 29, 31, 89, 79, 347, 707, 505, 2087, 2163, 5465, 8677, 11421, 93217, 0};
static int joe_kuo_d6_initial_number09105[] = {1, 3, 7, 9, 3, 23, 75, 215, 7, 971, 925, 3223, 7825, 12347, 19763, 10927, 41245, 0};
static int joe_kuo_d6_initial_number09106[] = {1, 3, 5, 5, 3, 43, 119, 79, 373, 761, 709, 1897, 3953, 13895, 13421, 16939, 112449, 0};
static int joe_kuo_d6_initial_number09107[] = {1, 1, 3, 15, 11, 25, 65, 101, 315, 1005, 1319, 1163, 161, 15331, 4845, 40375, 121361, 0};
static int joe_kuo_d6_initial_number09108[] = {1, 1, 3, 7, 1, 57, 63, 131, 145, 1007, 549, 2327, 1513, 3591, 10839, 56297, 80613, 0};
static int joe_kuo_d6_initial_number09109[] = {1, 1, 3, 5, 1, 19, 79, 81, 505, 945, 65, 319, 6105, 5491, 13257, 4651, 48247, 0};
static int joe_kuo_d6_initial_number09110[] = {1, 3, 1, 9, 27, 41, 61, 41, 421, 707, 1279, 3699, 2403, 4075, 16947, 53435, 2917, 0};
static int joe_kuo_d6_initial_number09111[] = {1, 1, 5, 13, 11, 29, 35, 141, 313, 769, 749, 4025, 2597, 12197, 32265, 32159, 37003, 0};
static int joe_kuo_d6_initial_number09112[] = {1, 3, 7, 11, 25, 63, 121, 15, 273, 877, 637, 409, 5001, 4723, 27985, 55501, 43495, 0};
static int joe_kuo_d6_initial_number09113[] = {1, 3, 1, 13, 27, 29, 127, 65, 275, 967, 1723, 4007, 6147, 13277, 8361, 12305, 95433, 0};
static int joe_kuo_d6_initial_number09114[] = {1, 3, 3, 13, 11, 45, 7, 101, 169, 361, 517, 2897, 4283, 7587, 7495, 31549, 29113, 0};
static int joe_kuo_d6_initial_number09115[] = {1, 3, 3, 1, 9, 27, 65, 15, 279, 127, 1039, 829, 5739, 1949, 24789, 30433, 54503, 0};
static int joe_kuo_d6_initial_number09116[] = {1, 3, 7, 5, 13, 19, 95, 133, 25, 271, 1527, 3571, 101, 15987, 10985, 55761, 39833, 0};
static int joe_kuo_d6_initial_number09117[] = {1, 3, 5, 9, 27, 5, 37, 219, 249, 947, 1063, 4081, 1763, 15003, 23753, 3975, 109803, 0};
static int joe_kuo_d6_initial_number09118[] = {1, 3, 3, 5, 21, 37, 35, 145, 323, 573, 1939, 885, 4645, 4515, 16815, 28783, 76017, 0};
static int joe_kuo_d6_initial_number09119[] = {1, 3, 7, 13, 27, 41, 39, 123, 423, 949, 1487, 2207, 8069, 15337, 20671, 20163, 70667, 0};
static int joe_kuo_d6_initial_number09120[] = {1, 1, 3, 3, 15, 29, 69, 15, 151, 729, 35, 2067, 6715, 12759, 27611, 54133, 16561, 0};
static int joe_kuo_d6_initial_number09121[] = {1, 3, 7, 13, 21, 13, 7, 161, 327, 339, 535, 2059, 413, 11161, 18415, 12415, 63713, 0};
static int joe_kuo_d6_initial_number09122[] = {1, 3, 5, 5, 23, 49, 9, 181, 417, 339, 1013, 1707, 5097, 13319, 18951, 56415, 14397, 0};
static int joe_kuo_d6_initial_number09123[] = {1, 1, 5, 7, 29, 23, 117, 159, 287, 695, 71, 2393, 2655, 6417, 24349, 20441, 77987, 0};
static int joe_kuo_d6_initial_number09124[] = {1, 1, 5, 7, 31, 23, 81, 125, 145, 141, 1459, 4095, 713, 1817, 9263, 21025, 91983, 0};
static int joe_kuo_d6_initial_number09125[] = {1, 1, 1, 9, 17, 23, 91, 39, 459, 299, 1951, 3229, 6229, 3267, 15883, 31719, 96573, 0};
static int joe_kuo_d6_initial_number09126[] = {1, 1, 1, 15, 3, 51, 9, 7, 455, 653, 1447, 153, 8117, 723, 2177, 9107, 7757, 0};
static int joe_kuo_d6_initial_number09127[] = {1, 3, 1, 15, 27, 47, 49, 245, 499, 807, 175, 1653, 1693, 3931, 27479, 30095, 62353, 0};
static int joe_kuo_d6_initial_number09128[] = {1, 1, 5, 5, 23, 7, 15, 193, 499, 193, 201, 2771, 4153, 11533, 25883, 23337, 126685, 0};
static int joe_kuo_d6_initial_number09129[] = {1, 1, 1, 7, 9, 43, 125, 181, 425, 557, 1401, 2593, 1933, 6803, 20021, 32687, 126465, 0};
static int joe_kuo_d6_initial_number09130[] = {1, 3, 3, 13, 27, 19, 99, 29, 395, 765, 1137, 2963, 7397, 9695, 19259, 27965, 83157, 0};
static int joe_kuo_d6_initial_number09131[] = {1, 3, 7, 7, 17, 29, 7, 241, 5, 281, 1489, 1599, 5567, 4579, 7739, 41413, 110571, 0};
static int joe_kuo_d6_initial_number09132[] = {1, 3, 3, 9, 7, 5, 83, 1, 231, 1003, 631, 2557, 831, 6495, 30409, 53519, 79331, 0};
static int joe_kuo_d6_initial_number09133[] = {1, 1, 5, 1, 7, 49, 45, 241, 201, 551, 1645, 2003, 1455, 3317, 23639, 7841, 100765, 0};
static int joe_kuo_d6_initial_number09134[] = {1, 3, 5, 13, 25, 47, 103, 37, 81, 263, 1143, 801, 5863, 6871, 8615, 57363, 90161, 0};
static int joe_kuo_d6_initial_number09135[] = {1, 3, 7, 11, 27, 23, 119, 211, 473, 207, 605, 637, 3369, 7287, 27827, 25003, 65925, 0};
static int joe_kuo_d6_initial_number09136[] = {1, 3, 1, 15, 27, 31, 97, 247, 75, 893, 1099, 3609, 6807, 4393, 10253, 62759, 89971, 0};
static int joe_kuo_d6_initial_number09137[] = {1, 1, 7, 15, 27, 19, 43, 59, 419, 263, 387, 3193, 5589, 4197, 19143, 64749, 103093, 0};
static int joe_kuo_d6_initial_number09138[] = {1, 1, 7, 11, 21, 51, 97, 227, 251, 869, 1927, 2331, 7741, 8207, 12885, 13267, 17945, 0};
static int joe_kuo_d6_initial_number09139[] = {1, 1, 7, 7, 5, 53, 41, 147, 75, 709, 607, 1073, 2853, 8081, 12797, 5279, 86083, 0};
static int joe_kuo_d6_initial_number09140[] = {1, 1, 5, 5, 15, 21, 77, 189, 269, 595, 197, 3117, 5073, 14277, 26867, 49505, 75755, 0};
static int joe_kuo_d6_initial_number09141[] = {1, 3, 5, 15, 13, 55, 1, 223, 135, 367, 735, 3139, 4851, 9773, 11699, 19081, 26011, 0};
static int joe_kuo_d6_initial_number09142[] = {1, 3, 5, 7, 9, 3, 89, 103, 321, 727, 1809, 3527, 6881, 2399, 13593, 27867, 16219, 0};
static int joe_kuo_d6_initial_number09143[] = {1, 3, 3, 1, 23, 5, 53, 51, 403, 753, 2037, 1261, 7575, 2725, 11341, 18533, 98767, 0};
static int joe_kuo_d6_initial_number09144[] = {1, 1, 1, 11, 1, 13, 37, 141, 477, 689, 1789, 1913, 5753, 6069, 6965, 55209, 77329, 0};
static int joe_kuo_d6_initial_number09145[] = {1, 3, 7, 3, 17, 59, 79, 249, 381, 163, 1773, 1645, 7295, 2359, 21889, 28429, 117073, 0};
static int joe_kuo_d6_initial_number09146[] = {1, 3, 5, 15, 7, 45, 59, 3, 93, 259, 1257, 2967, 1175, 10171, 873, 51423, 67437, 0};
static int joe_kuo_d6_initial_number09147[] = {1, 1, 7, 13, 17, 33, 53, 217, 159, 683, 1169, 3363, 4591, 3959, 10089, 35443, 99677, 0};
static int joe_kuo_d6_initial_number09148[] = {1, 3, 7, 9, 3, 1, 5, 171, 17, 635, 369, 1529, 4861, 4977, 29303, 42357, 69309, 0};
static int joe_kuo_d6_initial_number09149[] = {1, 3, 7, 9, 21, 17, 77, 127, 105, 427, 525, 1123, 2365, 7487, 6315, 64773, 122747, 0};
static int joe_kuo_d6_initial_number09150[] = {1, 1, 1, 15, 19, 63, 65, 83, 219, 987, 169, 2589, 3809, 8807, 22473, 6479, 44617, 0};
static int joe_kuo_d6_initial_number09151[] = {1, 3, 1, 7, 11, 51, 107, 19, 379, 191, 1013, 3145, 1501, 11871, 14111, 18269, 98247, 0};
static int joe_kuo_d6_initial_number09152[] = {1, 1, 7, 5, 17, 63, 23, 231, 423, 855, 1955, 907, 4553, 16173, 7701, 40329, 42047, 0};
static int joe_kuo_d6_initial_number09153[] = {1, 3, 7, 1, 7, 45, 103, 127, 185, 721, 1035, 839, 691, 6823, 23819, 50781, 92767, 0};
static int joe_kuo_d6_initial_number09154[] = {1, 1, 1, 3, 9, 21, 57, 253, 285, 85, 1227, 365, 2347, 7491, 15183, 8619, 108819, 0};
static int joe_kuo_d6_initial_number09155[] = {1, 1, 3, 15, 27, 13, 5, 85, 45, 1009, 1315, 1749, 2797, 3941, 19367, 50855, 60693, 0};
static int joe_kuo_d6_initial_number09156[] = {1, 3, 5, 15, 29, 63, 115, 197, 317, 601, 711, 377, 7489, 4247, 4843, 56549, 108447, 0};
static int joe_kuo_d6_initial_number09157[] = {1, 3, 7, 15, 11, 25, 7, 145, 371, 395, 1743, 267, 2609, 15707, 13909, 55031, 71115, 0};
static int joe_kuo_d6_initial_number09158[] = {1, 3, 1, 1, 1, 53, 111, 245, 433, 309, 245, 15, 2091, 9051, 11095, 31821, 104535, 0};
static int joe_kuo_d6_initial_number09159[] = {1, 3, 1, 15, 25, 31, 99, 89, 259, 595, 1095, 3681, 5105, 8671, 23663, 29717, 126429, 0};
static int joe_kuo_d6_initial_number09160[] = {1, 3, 7, 7, 5, 31, 15, 59, 109, 527, 257, 1785, 6799, 1283, 11741, 34589, 102397, 0};
static int joe_kuo_d6_initial_number09161[] = {1, 3, 3, 15, 9, 27, 55, 35, 291, 587, 1281, 779, 4615, 373, 24037, 64671, 124019, 0};
static int joe_kuo_d6_initial_number09162[] = {1, 1, 5, 5, 13, 51, 49, 19, 37, 857, 539, 1291, 6021, 8645, 30351, 33839, 111515, 0};
static int joe_kuo_d6_initial_number09163[] = {1, 1, 5, 13, 3, 47, 9, 197, 19, 337, 2025, 3003, 7179, 5755, 31187, 59317, 69753, 0};
static int joe_kuo_d6_initial_number09164[] = {1, 1, 7, 3, 3, 43, 11, 3, 123, 29, 857, 3349, 791, 11157, 23967, 33729, 28445, 0};
static int joe_kuo_d6_initial_number09165[] = {1, 1, 5, 1, 1, 11, 73, 231, 173, 925, 331, 161, 3303, 11015, 17507, 21271, 56865, 0};
static int joe_kuo_d6_initial_number09166[] = {1, 1, 3, 9, 21, 21, 115, 145, 421, 981, 1789, 3343, 7591, 12043, 5795, 17737, 106501, 0};
static int joe_kuo_d6_initial_number09167[] = {1, 1, 7, 13, 7, 15, 51, 75, 497, 637, 1073, 1505, 5613, 1415, 30861, 26159, 79573, 0};
static int joe_kuo_d6_initial_number09168[] = {1, 1, 3, 15, 17, 35, 17, 129, 169, 283, 1383, 149, 211, 1381, 22205, 28367, 831, 0};
static int joe_kuo_d6_initial_number09169[] = {1, 3, 5, 5, 17, 11, 127, 183, 503, 499, 2011, 2721, 2717, 3105, 4731, 60319, 9361, 0};
static int joe_kuo_d6_initial_number09170[] = {1, 1, 1, 7, 27, 55, 77, 203, 255, 761, 1159, 2915, 4479, 13671, 19757, 65497, 4461, 0};
static int joe_kuo_d6_initial_number09171[] = {1, 3, 1, 9, 9, 51, 67, 205, 445, 35, 371, 1837, 3623, 10365, 19463, 59005, 3185, 0};
static int joe_kuo_d6_initial_number09172[] = {1, 3, 7, 3, 23, 5, 51, 141, 293, 489, 263, 2187, 1259, 2729, 1779, 61027, 53931, 0};
static int joe_kuo_d6_initial_number09173[] = {1, 1, 1, 15, 27, 7, 15, 109, 475, 839, 175, 953, 4531, 437, 22475, 24167, 19051, 0};
static int joe_kuo_d6_initial_number09174[] = {1, 1, 7, 9, 25, 23, 41, 107, 299, 115, 1713, 1559, 5701, 5427, 28813, 39913, 15941, 0};
static int joe_kuo_d6_initial_number09175[] = {1, 3, 5, 7, 5, 25, 99, 9, 307, 591, 1303, 3501, 1589, 12095, 26629, 52127, 60635, 0};
static int joe_kuo_d6_initial_number09176[] = {1, 3, 7, 3, 9, 23, 3, 29, 113, 49, 1601, 541, 1415, 11601, 19165, 46595, 111623, 0};
static int joe_kuo_d6_initial_number09177[] = {1, 1, 3, 11, 5, 53, 37, 153, 51, 41, 1267, 545, 2055, 13137, 7749, 30721, 119591, 0};
static int joe_kuo_d6_initial_number09178[] = {1, 3, 5, 11, 1, 15, 65, 17, 155, 65, 745, 2547, 6351, 2347, 13553, 5785, 129857, 0};
static int joe_kuo_d6_initial_number09179[] = {1, 3, 7, 13, 5, 53, 11, 59, 453, 467, 1275, 3669, 4481, 5229, 2953, 23369, 100161, 0};
static int joe_kuo_d6_initial_number09180[] = {1, 3, 1, 1, 13, 41, 91, 179, 331, 547, 1571, 1787, 6467, 12375, 4579, 45023, 119149, 0};
static int joe_kuo_d6_initial_number09181[] = {1, 3, 3, 5, 17, 55, 105, 57, 227, 323, 1517, 1215, 3149, 13919, 18595, 5525, 82445, 0};
static int joe_kuo_d6_initial_number09182[] = {1, 3, 1, 13, 19, 23, 17, 239, 81, 481, 1625, 2003, 7295, 2185, 7021, 19357, 37867, 0};
static int joe_kuo_d6_initial_number09183[] = {1, 3, 5, 9, 11, 15, 61, 223, 153, 139, 2023, 2579, 495, 14319, 2835, 26541, 113115, 0};
static int joe_kuo_d6_initial_number09184[] = {1, 1, 3, 13, 29, 9, 13, 149, 325, 87, 697, 2345, 2205, 5069, 9939, 61351, 127313, 0};
static int joe_kuo_d6_initial_number09185[] = {1, 1, 7, 11, 13, 53, 45, 197, 167, 551, 439, 3715, 4587, 8549, 28193, 35827, 96721, 0};
static int joe_kuo_d6_initial_number09186[] = {1, 3, 1, 1, 17, 7, 31, 205, 219, 739, 1165, 243, 3877, 15943, 15207, 43857, 120565, 0};
static int joe_kuo_d6_initial_number09187[] = {1, 3, 7, 9, 7, 43, 81, 203, 295, 553, 279, 2717, 9, 751, 24715, 21591, 11485, 0};
static int joe_kuo_d6_initial_number09188[] = {1, 1, 1, 11, 15, 17, 41, 121, 355, 157, 955, 3875, 7595, 235, 4937, 20607, 11401, 0};
static int joe_kuo_d6_initial_number09189[] = {1, 1, 7, 7, 13, 49, 33, 161, 65, 251, 1895, 2665, 3017, 9725, 10797, 46313, 43407, 0};
static int joe_kuo_d6_initial_number09190[] = {1, 1, 3, 9, 23, 17, 127, 69, 385, 875, 461, 3305, 3001, 5875, 13547, 61239, 113571, 0};
static int joe_kuo_d6_initial_number09191[] = {1, 3, 7, 5, 15, 47, 113, 131, 465, 89, 733, 433, 799, 5689, 723, 63479, 106945, 0};
static int joe_kuo_d6_initial_number09192[] = {1, 3, 3, 15, 29, 1, 51, 115, 317, 1021, 1219, 1797, 4005, 10435, 28935, 49467, 66833, 0};
static int joe_kuo_d6_initial_number09193[] = {1, 1, 3, 11, 15, 9, 51, 209, 477, 479, 1099, 2781, 5525, 12715, 9067, 18317, 121671, 0};
static int joe_kuo_d6_initial_number09194[] = {1, 3, 1, 7, 19, 35, 61, 27, 479, 815, 1639, 2825, 7449, 13697, 3079, 49833, 35119, 0};
static int joe_kuo_d6_initial_number09195[] = {1, 3, 7, 3, 17, 53, 95, 155, 505, 185, 717, 3419, 3857, 2369, 14525, 22797, 38553, 0};
static int joe_kuo_d6_initial_number09196[] = {1, 3, 1, 13, 27, 5, 11, 21, 507, 65, 39, 2841, 7887, 2783, 18767, 34171, 40527, 0};
static int joe_kuo_d6_initial_number09197[] = {1, 3, 1, 7, 9, 47, 69, 217, 251, 775, 631, 1967, 5541, 10679, 16439, 33533, 57817, 0};
static int joe_kuo_d6_initial_number09198[] = {1, 1, 5, 11, 27, 57, 103, 255, 359, 745, 63, 3725, 4113, 10943, 7833, 46857, 99239, 0};
static int joe_kuo_d6_initial_number09199[] = {1, 3, 1, 5, 31, 41, 69, 245, 401, 451, 959, 351, 6999, 6187, 21437, 55067, 53547, 0};
static int joe_kuo_d6_initial_number09200[] = {1, 1, 1, 13, 25, 49, 85, 181, 457, 731, 743, 1901, 7013, 12027, 14729, 24193, 89685, 0};
static int joe_kuo_d6_initial_number09201[] = {1, 3, 3, 1, 31, 29, 101, 137, 117, 135, 345, 1419, 7133, 2695, 3631, 53049, 45875, 0};
static int joe_kuo_d6_initial_number09202[] = {1, 1, 1, 13, 11, 51, 95, 221, 339, 655, 201, 3007, 8179, 8093, 22399, 59123, 127319, 0};
static int joe_kuo_d6_initial_number09203[] = {1, 3, 7, 3, 31, 37, 23, 199, 191, 649, 817, 1959, 893, 2333, 21477, 29087, 115667, 0};
static int joe_kuo_d6_initial_number09204[] = {1, 3, 3, 5, 9, 55, 123, 67, 39, 533, 797, 2575, 3955, 14585, 28587, 13079, 60053, 0};
static int joe_kuo_d6_initial_number09205[] = {1, 3, 1, 1, 17, 19, 15, 219, 185, 21, 967, 667, 3361, 3883, 8059, 26199, 80913, 0};
static int joe_kuo_d6_initial_number09206[] = {1, 3, 3, 11, 23, 5, 99, 57, 379, 151, 271, 3735, 7087, 12731, 2949, 54831, 37835, 0};
static int joe_kuo_d6_initial_number09207[] = {1, 3, 1, 7, 21, 25, 9, 195, 497, 585, 901, 19, 7675, 13611, 31155, 14567, 20545, 0};
static int joe_kuo_d6_initial_number09208[] = {1, 1, 3, 3, 27, 45, 51, 169, 397, 531, 673, 2935, 3779, 7169, 23479, 16157, 100237, 0};
static int joe_kuo_d6_initial_number09209[] = {1, 1, 1, 1, 19, 49, 3, 75, 455, 805, 591, 1929, 2883, 2797, 31379, 12025, 120929, 0};
static int joe_kuo_d6_initial_number09210[] = {1, 3, 5, 3, 17, 39, 115, 93, 341, 329, 1857, 2753, 4923, 12539, 25589, 19437, 29027, 0};
static int joe_kuo_d6_initial_number09211[] = {1, 3, 5, 9, 27, 37, 21, 235, 499, 369, 1341, 3719, 6819, 3153, 30619, 50901, 52999, 0};
static int joe_kuo_d6_initial_number09212[] = {1, 3, 1, 11, 3, 55, 43, 219, 83, 771, 783, 3569, 7879, 2363, 30605, 5965, 126855, 0};
static int joe_kuo_d6_initial_number09213[] = {1, 3, 7, 13, 7, 25, 111, 63, 355, 317, 1579, 1523, 2733, 11963, 25205, 20545, 67389, 0};
static int joe_kuo_d6_initial_number09214[] = {1, 3, 5, 7, 3, 17, 55, 99, 321, 633, 2013, 1991, 1019, 9223, 21117, 23337, 90589, 0};
static int joe_kuo_d6_initial_number09215[] = {1, 3, 1, 1, 17, 25, 79, 171, 303, 403, 2037, 2595, 3951, 8021, 8669, 9363, 20345, 0};
static int joe_kuo_d6_initial_number09216[] = {1, 1, 1, 7, 13, 7, 11, 7, 347, 53, 1763, 3097, 3353, 3769, 22947, 20919, 92247, 0};
static int joe_kuo_d6_initial_number09217[] = {1, 3, 5, 11, 19, 29, 91, 191, 511, 705, 1317, 3367, 7, 4999, 30251, 18299, 66983, 0};
static int joe_kuo_d6_initial_number09218[] = {1, 1, 3, 7, 19, 17, 71, 77, 285, 189, 853, 2305, 4205, 15603, 15501, 48073, 11411, 0};
static int joe_kuo_d6_initial_number09219[] = {1, 3, 7, 5, 21, 15, 47, 13, 277, 969, 1861, 3493, 6723, 11521, 22145, 43779, 44713, 0};
static int joe_kuo_d6_initial_number09220[] = {1, 1, 3, 5, 19, 47, 51, 207, 229, 957, 709, 267, 8081, 611, 26403, 14871, 111841, 0};
static int joe_kuo_d6_initial_number09221[] = {1, 3, 7, 1, 19, 43, 71, 73, 405, 351, 1131, 3527, 5949, 14363, 20041, 48123, 68123, 0};
static int joe_kuo_d6_initial_number09222[] = {1, 3, 3, 7, 23, 51, 81, 13, 161, 453, 365, 1089, 3505, 12359, 14277, 56113, 19717, 0};
static int joe_kuo_d6_initial_number09223[] = {1, 1, 1, 7, 29, 35, 103, 137, 317, 417, 1465, 2787, 6935, 9885, 12943, 43937, 28353, 0};
static int joe_kuo_d6_initial_number09224[] = {1, 1, 3, 13, 19, 37, 97, 5, 115, 89, 1005, 3033, 2011, 2633, 10615, 6641, 73385, 0};
static int joe_kuo_d6_initial_number09225[] = {1, 3, 7, 7, 31, 39, 107, 165, 61, 1009, 1159, 865, 3469, 11093, 10425, 43959, 37395, 0};
static int joe_kuo_d6_initial_number09226[] = {1, 3, 5, 9, 7, 51, 99, 91, 37, 457, 39, 2455, 7481, 4929, 29755, 50603, 48943, 0};
static int joe_kuo_d6_initial_number09227[] = {1, 1, 5, 13, 5, 39, 47, 149, 341, 303, 843, 3619, 7527, 8739, 5893, 42623, 99899, 0};
static int joe_kuo_d6_initial_number09228[] = {1, 1, 1, 1, 1, 41, 73, 71, 409, 351, 131, 515, 6657, 337, 23913, 583, 21665, 0};
static int joe_kuo_d6_initial_number09229[] = {1, 1, 3, 3, 11, 45, 39, 113, 315, 965, 1605, 2779, 501, 7429, 2567, 7011, 71445, 0};
static int joe_kuo_d6_initial_number09230[] = {1, 3, 7, 13, 21, 13, 45, 105, 385, 281, 1683, 3997, 6391, 10943, 22349, 37261, 57555, 0};
static int joe_kuo_d6_initial_number09231[] = {1, 1, 3, 5, 17, 55, 109, 71, 393, 561, 433, 1091, 1923, 13861, 12981, 5523, 15467, 0};
static int joe_kuo_d6_initial_number09232[] = {1, 3, 7, 5, 17, 11, 113, 119, 37, 989, 1609, 2191, 1511, 11835, 25423, 793, 15227, 0};
static int joe_kuo_d6_initial_number09233[] = {1, 3, 1, 5, 5, 55, 105, 225, 349, 351, 1259, 1309, 821, 2733, 1357, 3665, 38863, 0};
static int joe_kuo_d6_initial_number09234[] = {1, 3, 5, 1, 23, 61, 49, 113, 169, 319, 85, 1581, 97, 5271, 30625, 37693, 7297, 0};
static int joe_kuo_d6_initial_number09235[] = {1, 3, 5, 1, 1, 25, 31, 125, 307, 731, 1815, 1047, 7251, 12481, 20781, 63275, 51985, 0};
static int joe_kuo_d6_initial_number09236[] = {1, 3, 5, 9, 11, 9, 121, 111, 45, 751, 793, 2593, 6409, 4355, 30183, 36959, 105161, 0};
static int joe_kuo_d6_initial_number09237[] = {1, 1, 3, 9, 25, 37, 95, 253, 401, 481, 1521, 3555, 231, 15459, 1581, 36661, 121727, 0};
static int joe_kuo_d6_initial_number09238[] = {1, 3, 5, 3, 27, 11, 107, 115, 213, 813, 27, 1789, 603, 383, 1129, 63365, 51147, 0};
static int joe_kuo_d6_initial_number09239[] = {1, 1, 3, 13, 25, 7, 33, 1, 97, 907, 35, 4069, 5001, 507, 911, 62037, 22019, 0};
static int joe_kuo_d6_initial_number09240[] = {1, 1, 3, 5, 7, 55, 35, 95, 261, 217, 1565, 3473, 3475, 12181, 569, 27389, 81771, 0};
static int joe_kuo_d6_initial_number09241[] = {1, 1, 3, 5, 11, 33, 95, 121, 453, 711, 361, 3927, 5231, 15685, 31143, 56915, 23707, 0};
static int joe_kuo_d6_initial_number09242[] = {1, 1, 3, 11, 25, 15, 53, 155, 469, 647, 1547, 335, 3753, 12873, 13639, 25129, 79287, 0};
static int joe_kuo_d6_initial_number09243[] = {1, 3, 3, 3, 1, 21, 21, 121, 105, 903, 83, 2287, 4295, 14369, 29183, 26841, 38115, 0};
static int joe_kuo_d6_initial_number09244[] = {1, 1, 7, 11, 5, 29, 65, 191, 389, 419, 1315, 739, 3485, 10587, 2399, 36377, 28789, 0};
static int joe_kuo_d6_initial_number09245[] = {1, 3, 3, 11, 3, 29, 71, 169, 265, 747, 395, 1211, 3487, 15705, 25611, 18183, 85771, 0};
static int joe_kuo_d6_initial_number09246[] = {1, 1, 7, 3, 23, 5, 45, 47, 337, 571, 33, 1221, 5671, 1233, 28361, 36945, 911, 0};
static int joe_kuo_d6_initial_number09247[] = {1, 1, 5, 11, 17, 15, 57, 97, 185, 999, 1277, 3371, 2785, 3341, 13395, 11925, 86777, 0};
static int joe_kuo_d6_initial_number09248[] = {1, 1, 3, 1, 31, 37, 23, 105, 503, 869, 1309, 3733, 4629, 8263, 11763, 30669, 26179, 0};
static int joe_kuo_d6_initial_number09249[] = {1, 1, 3, 15, 25, 61, 37, 27, 325, 413, 809, 2959, 8137, 3397, 21185, 27995, 84297, 0};
static int joe_kuo_d6_initial_number09250[] = {1, 3, 5, 5, 1, 55, 95, 41, 493, 469, 331, 1789, 7037, 7947, 14239, 16109, 51795, 0};
static int joe_kuo_d6_initial_number09251[] = {1, 1, 1, 1, 19, 33, 111, 237, 261, 331, 871, 3539, 1731, 6953, 11345, 37901, 5623, 0};
static int joe_kuo_d6_initial_number09252[] = {1, 1, 5, 7, 21, 41, 49, 179, 49, 797, 231, 1299, 145, 7743, 725, 60595, 19581, 0};
static int joe_kuo_d6_initial_number09253[] = {1, 3, 7, 15, 7, 43, 67, 219, 133, 641, 1657, 2301, 1591, 12309, 6395, 3999, 92961, 0};
static int joe_kuo_d6_initial_number09254[] = {1, 1, 1, 5, 1, 49, 37, 81, 219, 323, 461, 1379, 1797, 14825, 21811, 7347, 35643, 0};
static int joe_kuo_d6_initial_number09255[] = {1, 1, 1, 11, 1, 3, 83, 31, 307, 83, 1169, 3277, 1875, 13397, 20265, 46707, 15205, 0};
static int joe_kuo_d6_initial_number09256[] = {1, 3, 7, 11, 29, 41, 69, 33, 405, 991, 1937, 1217, 2137, 8657, 4319, 41119, 43371, 0};
static int joe_kuo_d6_initial_number09257[] = {1, 3, 3, 3, 25, 49, 107, 197, 347, 923, 1585, 3023, 4087, 13875, 22015, 35733, 33755, 0};
static int joe_kuo_d6_initial_number09258[] = {1, 3, 3, 5, 15, 61, 89, 249, 141, 853, 1469, 999, 7425, 10015, 12341, 51535, 61619, 0};
static int joe_kuo_d6_initial_number09259[] = {1, 1, 7, 13, 31, 61, 89, 113, 117, 429, 1011, 1589, 1419, 5083, 4843, 26759, 47401, 0};
static int joe_kuo_d6_initial_number09260[] = {1, 1, 7, 9, 17, 37, 119, 39, 499, 93, 1155, 3069, 2033, 12483, 29849, 40077, 11103, 0};
static int joe_kuo_d6_initial_number09261[] = {1, 3, 1, 15, 11, 5, 23, 121, 283, 717, 1573, 3911, 2031, 2617, 20387, 33157, 301, 0};
static int joe_kuo_d6_initial_number09262[] = {1, 3, 5, 7, 17, 61, 109, 3, 205, 617, 1171, 223, 6609, 15027, 2629, 15801, 73749, 0};
static int joe_kuo_d6_initial_number09263[] = {1, 1, 3, 7, 5, 49, 9, 73, 333, 401, 675, 2765, 993, 77, 19237, 60929, 88703, 0};
static int joe_kuo_d6_initial_number09264[] = {1, 1, 1, 9, 21, 25, 53, 249, 241, 43, 1959, 545, 3729, 11395, 3027, 12661, 87729, 0};
static int joe_kuo_d6_initial_number09265[] = {1, 3, 3, 15, 15, 61, 33, 59, 155, 773, 1043, 3111, 6549, 5397, 29099, 57851, 107671, 0};
static int joe_kuo_d6_initial_number09266[] = {1, 3, 7, 1, 29, 29, 1, 161, 273, 883, 1913, 2389, 401, 9425, 17613, 50443, 84601, 0};
static int joe_kuo_d6_initial_number09267[] = {1, 3, 7, 11, 15, 63, 41, 53, 371, 153, 1491, 3013, 6635, 4955, 30145, 20175, 16541, 0};
static int joe_kuo_d6_initial_number09268[] = {1, 3, 3, 11, 31, 27, 127, 207, 11, 313, 1067, 3445, 3075, 4071, 28305, 58911, 85273, 0};
static int joe_kuo_d6_initial_number09269[] = {1, 1, 7, 11, 17, 47, 77, 119, 209, 657, 1181, 459, 5821, 4267, 5757, 53703, 35621, 0};
static int joe_kuo_d6_initial_number09270[] = {1, 3, 1, 15, 27, 41, 3, 217, 457, 531, 1749, 2847, 4715, 11451, 25071, 53999, 93503, 0};
static int joe_kuo_d6_initial_number09271[] = {1, 3, 5, 3, 19, 29, 9, 177, 355, 265, 883, 1113, 2397, 1819, 20757, 50389, 95551, 0};
static int joe_kuo_d6_initial_number09272[] = {1, 1, 3, 15, 3, 45, 85, 211, 377, 293, 1791, 1193, 1117, 9383, 28039, 27155, 129513, 0};
static int joe_kuo_d6_initial_number09273[] = {1, 1, 7, 5, 1, 17, 59, 215, 161, 933, 1653, 2407, 2693, 3655, 7515, 2239, 88985, 0};
static int joe_kuo_d6_initial_number09274[] = {1, 1, 3, 11, 31, 3, 1, 77, 459, 817, 651, 603, 1711, 9391, 20607, 48195, 127153, 0};
static int joe_kuo_d6_initial_number09275[] = {1, 1, 5, 13, 11, 49, 25, 13, 51, 443, 1877, 1257, 163, 4673, 30313, 18841, 24547, 0};
static int joe_kuo_d6_initial_number09276[] = {1, 1, 7, 7, 15, 33, 43, 79, 127, 625, 1991, 1311, 2095, 14659, 3477, 56023, 57955, 0};
static int joe_kuo_d6_initial_number09277[] = {1, 3, 7, 15, 29, 7, 119, 183, 123, 323, 1723, 959, 2733, 2097, 2927, 57595, 86067, 0};
static int joe_kuo_d6_initial_number09278[] = {1, 3, 5, 5, 29, 57, 93, 139, 495, 739, 1715, 713, 243, 2027, 11223, 44143, 119155, 0};
static int joe_kuo_d6_initial_number09279[] = {1, 3, 1, 9, 3, 63, 113, 29, 19, 439, 869, 1101, 4947, 2191, 14737, 57049, 93505, 0};
static int joe_kuo_d6_initial_number09280[] = {1, 1, 7, 1, 11, 39, 27, 29, 281, 829, 1979, 2185, 2207, 14969, 7447, 55541, 59593, 0};
static int joe_kuo_d6_initial_number09281[] = {1, 1, 7, 13, 11, 15, 15, 143, 383, 469, 1439, 2823, 7489, 7675, 15433, 26203, 80433, 0};
static int joe_kuo_d6_initial_number09282[] = {1, 1, 1, 7, 15, 45, 23, 93, 477, 1, 1431, 3173, 7879, 12211, 13051, 56971, 114289, 0};
static int joe_kuo_d6_initial_number09283[] = {1, 3, 1, 1, 27, 55, 61, 185, 323, 569, 1063, 1357, 7373, 14947, 15967, 64517, 104625, 0};
static int joe_kuo_d6_initial_number09284[] = {1, 1, 5, 11, 25, 1, 127, 163, 419, 657, 911, 361, 3675, 10765, 24565, 2661, 61979, 0};
static int joe_kuo_d6_initial_number09285[] = {1, 3, 7, 15, 29, 53, 29, 149, 465, 535, 1865, 2243, 4783, 9327, 24843, 52313, 15683, 0};
static int joe_kuo_d6_initial_number09286[] = {1, 1, 7, 7, 17, 7, 85, 187, 91, 1013, 1917, 2959, 3571, 12047, 25267, 34095, 9877, 0};
static int joe_kuo_d6_initial_number09287[] = {1, 1, 1, 7, 5, 27, 111, 107, 313, 571, 1081, 3193, 1025, 2589, 1523, 40453, 77065, 0};
static int joe_kuo_d6_initial_number09288[] = {1, 3, 7, 1, 19, 27, 1, 103, 479, 405, 583, 1737, 3495, 9093, 20397, 16429, 45609, 0};
static int joe_kuo_d6_initial_number09289[] = {1, 1, 3, 11, 17, 1, 125, 97, 261, 651, 901, 1245, 1181, 14469, 16229, 31935, 100227, 0};
static int joe_kuo_d6_initial_number09290[] = {1, 1, 7, 11, 15, 1, 19, 151, 453, 833, 1371, 1109, 5373, 25, 5619, 58351, 26349, 0};
static int joe_kuo_d6_initial_number09291[] = {1, 1, 7, 15, 17, 55, 51, 67, 123, 13, 1873, 1035, 5871, 11943, 11543, 43261, 62587, 0};
static int joe_kuo_d6_initial_number09292[] = {1, 3, 1, 13, 21, 15, 83, 205, 333, 379, 2021, 1389, 861, 10395, 20587, 38207, 49109, 0};
static int joe_kuo_d6_initial_number09293[] = {1, 1, 5, 3, 13, 49, 89, 85, 463, 1005, 1367, 3487, 581, 12145, 22445, 35343, 65745, 0};
static int joe_kuo_d6_initial_number09294[] = {1, 3, 3, 3, 29, 27, 99, 195, 89, 793, 1677, 3989, 4811, 8303, 9165, 50349, 96947, 0};
static int joe_kuo_d6_initial_number09295[] = {1, 1, 3, 5, 29, 11, 91, 107, 13, 659, 213, 1613, 2245, 11567, 28157, 2937, 53275, 0};
static int joe_kuo_d6_initial_number09296[] = {1, 3, 7, 5, 3, 41, 65, 27, 93, 747, 1143, 505, 3881, 2123, 2903, 54137, 96185, 0};
static int joe_kuo_d6_initial_number09297[] = {1, 1, 3, 15, 9, 49, 3, 25, 77, 681, 1709, 915, 2243, 2127, 18243, 13915, 67399, 0};
static int joe_kuo_d6_initial_number09298[] = {1, 3, 5, 7, 13, 49, 89, 67, 63, 271, 1651, 897, 4035, 1067, 13743, 56791, 44371, 0};
static int joe_kuo_d6_initial_number09299[] = {1, 1, 7, 9, 25, 19, 125, 15, 125, 705, 1359, 817, 1241, 12447, 19097, 33209, 89091, 0};
static int joe_kuo_d6_initial_number09300[] = {1, 3, 7, 3, 19, 43, 127, 197, 39, 709, 257, 3547, 3069, 1187, 21255, 6453, 40763, 0};
static int joe_kuo_d6_initial_number09301[] = {1, 3, 3, 5, 3, 53, 37, 65, 415, 183, 991, 533, 7805, 9905, 18925, 52665, 100987, 0};
static int joe_kuo_d6_initial_number09302[] = {1, 3, 3, 11, 17, 41, 17, 137, 143, 277, 945, 1531, 7427, 7287, 30869, 27651, 116507, 0};
static int joe_kuo_d6_initial_number09303[] = {1, 1, 1, 3, 13, 3, 9, 163, 113, 373, 1909, 1051, 97, 10729, 28615, 40081, 129297, 0};
static int joe_kuo_d6_initial_number09304[] = {1, 3, 3, 9, 11, 47, 113, 27, 307, 339, 1319, 3083, 7383, 1551, 26691, 28769, 114313, 0};
static int joe_kuo_d6_initial_number09305[] = {1, 3, 7, 7, 25, 49, 31, 231, 485, 629, 59, 283, 7463, 6603, 23055, 63643, 10121, 0};
static int joe_kuo_d6_initial_number09306[] = {1, 3, 7, 9, 5, 55, 53, 127, 147, 103, 1697, 485, 7051, 14153, 21631, 35561, 10393, 0};
static int joe_kuo_d6_initial_number09307[] = {1, 3, 3, 7, 23, 7, 83, 17, 135, 487, 315, 719, 7003, 3919, 13255, 24031, 110493, 0};
static int joe_kuo_d6_initial_number09308[] = {1, 3, 1, 15, 27, 55, 121, 177, 205, 733, 933, 1535, 2925, 4259, 22203, 59059, 89209, 0};
static int joe_kuo_d6_initial_number09309[] = {1, 1, 1, 11, 9, 11, 127, 47, 493, 349, 1415, 3089, 4739, 14347, 31579, 20739, 72997, 0};
static int joe_kuo_d6_initial_number09310[] = {1, 3, 1, 7, 9, 31, 121, 111, 163, 733, 1699, 1507, 5467, 13499, 25269, 6303, 70201, 0};
static int joe_kuo_d6_initial_number09311[] = {1, 3, 1, 5, 7, 23, 123, 203, 329, 387, 577, 2331, 2283, 14029, 19409, 103, 2477, 0};
static int joe_kuo_d6_initial_number09312[] = {1, 1, 7, 15, 11, 29, 29, 153, 289, 333, 1669, 2065, 5465, 8835, 28753, 21209, 34283, 0};
static int joe_kuo_d6_initial_number09313[] = {1, 3, 5, 11, 15, 33, 45, 81, 241, 461, 1167, 1073, 5511, 795, 30955, 49121, 42805, 0};
static int joe_kuo_d6_initial_number09314[] = {1, 1, 1, 13, 7, 33, 11, 201, 161, 475, 1359, 2329, 177, 9883, 8967, 21399, 73045, 0};
static int joe_kuo_d6_initial_number09315[] = {1, 3, 3, 1, 25, 59, 85, 51, 481, 751, 1213, 3019, 421, 9903, 30071, 50661, 94715, 0};
static int joe_kuo_d6_initial_number09316[] = {1, 3, 3, 1, 5, 61, 3, 179, 131, 233, 1627, 3577, 6323, 14161, 21595, 44963, 20215, 0};
static int joe_kuo_d6_initial_number09317[] = {1, 1, 1, 5, 9, 53, 45, 105, 275, 769, 105, 2757, 6769, 14987, 19955, 18291, 81707, 0};
static int joe_kuo_d6_initial_number09318[] = {1, 1, 7, 1, 1, 59, 33, 19, 385, 775, 423, 1799, 1325, 13545, 16027, 58347, 102397, 0};
static int joe_kuo_d6_initial_number09319[] = {1, 1, 3, 11, 15, 61, 63, 59, 355, 659, 1483, 3781, 7383, 5563, 32537, 34175, 40303, 0};
static int joe_kuo_d6_initial_number09320[] = {1, 3, 5, 7, 5, 37, 19, 223, 323, 129, 287, 2655, 3767, 16201, 4147, 315, 54885, 0};
static int joe_kuo_d6_initial_number09321[] = {1, 1, 7, 13, 13, 23, 43, 129, 405, 205, 1691, 2189, 3313, 11789, 10263, 16367, 65547, 0};
static int joe_kuo_d6_initial_number09322[] = {1, 3, 5, 1, 15, 21, 85, 233, 427, 71, 475, 3731, 3335, 11483, 28613, 4335, 35669, 0};
static int joe_kuo_d6_initial_number09323[] = {1, 1, 3, 3, 31, 47, 27, 109, 373, 451, 1459, 3103, 1941, 10405, 20233, 30517, 122787, 0};
static int joe_kuo_d6_initial_number09324[] = {1, 3, 1, 7, 3, 11, 113, 49, 355, 465, 1959, 1355, 6521, 10863, 11481, 13385, 31787, 0};
static int joe_kuo_d6_initial_number09325[] = {1, 3, 1, 1, 9, 45, 125, 69, 267, 413, 717, 2767, 833, 317, 23019, 37753, 3081, 0};
static int joe_kuo_d6_initial_number09326[] = {1, 1, 7, 7, 13, 55, 75, 105, 71, 505, 239, 3739, 4873, 4257, 18841, 41711, 24045, 0};
static int joe_kuo_d6_initial_number09327[] = {1, 1, 5, 13, 21, 59, 107, 229, 421, 441, 1079, 3727, 7941, 8443, 30433, 56419, 105751, 0};
static int joe_kuo_d6_initial_number09328[] = {1, 1, 1, 9, 15, 59, 29, 49, 117, 1009, 1971, 115, 2899, 1069, 29145, 11855, 35277, 0};
static int joe_kuo_d6_initial_number09329[] = {1, 3, 7, 15, 19, 55, 111, 77, 169, 537, 1695, 2687, 3871, 14017, 15119, 27313, 112807, 0};
static int joe_kuo_d6_initial_number09330[] = {1, 1, 3, 7, 29, 5, 41, 201, 211, 127, 1877, 643, 2441, 8743, 29393, 6077, 52597, 0};
static int joe_kuo_d6_initial_number09331[] = {1, 3, 1, 11, 7, 1, 95, 15, 229, 339, 475, 3463, 7827, 9943, 30903, 65013, 1145, 0};
static int joe_kuo_d6_initial_number09332[] = {1, 1, 1, 5, 23, 19, 81, 23, 475, 169, 373, 1147, 1805, 12779, 13173, 8945, 28175, 0};
static int joe_kuo_d6_initial_number09333[] = {1, 3, 5, 9, 3, 53, 127, 33, 237, 803, 121, 307, 4981, 8765, 12761, 23601, 92921, 0};
static int joe_kuo_d6_initial_number09334[] = {1, 1, 3, 7, 17, 63, 11, 37, 213, 619, 1095, 1693, 6747, 7373, 17355, 5987, 97923, 0};
static int joe_kuo_d6_initial_number09335[] = {1, 1, 3, 15, 11, 37, 109, 175, 503, 339, 591, 2745, 2387, 7419, 13915, 4769, 48229, 0};
static int joe_kuo_d6_initial_number09336[] = {1, 3, 5, 7, 19, 17, 5, 81, 471, 989, 249, 437, 7309, 5747, 25277, 31911, 87907, 0};
static int joe_kuo_d6_initial_number09337[] = {1, 3, 1, 7, 15, 25, 49, 243, 423, 911, 1957, 911, 6331, 9831, 26021, 58877, 99257, 0};
static int joe_kuo_d6_initial_number09338[] = {1, 3, 5, 11, 3, 55, 39, 129, 271, 145, 1973, 3391, 2905, 9229, 7989, 15641, 67933, 0};
static int joe_kuo_d6_initial_number09339[] = {1, 3, 5, 9, 13, 13, 43, 135, 183, 319, 1391, 2953, 2207, 14205, 31203, 6329, 98907, 0};
static int joe_kuo_d6_initial_number09340[] = {1, 3, 1, 9, 27, 41, 27, 155, 11, 191, 1747, 975, 7043, 13139, 30387, 47099, 120321, 0};
static int joe_kuo_d6_initial_number09341[] = {1, 1, 5, 9, 25, 27, 53, 235, 437, 77, 371, 2413, 4867, 14245, 27199, 37387, 88217, 0};
static int joe_kuo_d6_initial_number09342[] = {1, 1, 7, 7, 11, 59, 103, 15, 109, 65, 1987, 3695, 7737, 7341, 26963, 16075, 6301, 0};
static int joe_kuo_d6_initial_number09343[] = {1, 3, 7, 5, 7, 59, 109, 159, 121, 377, 1851, 3983, 5421, 7633, 7321, 14869, 54633, 0};
static int joe_kuo_d6_initial_number09344[] = {1, 1, 3, 15, 21, 51, 35, 243, 397, 411, 1107, 3689, 7913, 14715, 26349, 23361, 90665, 0};
static int joe_kuo_d6_initial_number09345[] = {1, 1, 1, 3, 5, 11, 77, 205, 187, 981, 1969, 1749, 6295, 8267, 16073, 54451, 103603, 0};
static int joe_kuo_d6_initial_number09346[] = {1, 3, 3, 9, 11, 13, 113, 83, 243, 1021, 2003, 2277, 6457, 10535, 13461, 52741, 9385, 0};
static int joe_kuo_d6_initial_number09347[] = {1, 3, 3, 11, 19, 9, 103, 13, 219, 269, 1805, 2689, 5219, 11497, 4909, 57985, 40141, 0};
static int joe_kuo_d6_initial_number09348[] = {1, 1, 1, 1, 29, 25, 15, 217, 69, 567, 839, 1515, 3627, 9837, 21433, 37177, 10487, 0};
static int joe_kuo_d6_initial_number09349[] = {1, 1, 7, 15, 15, 23, 119, 217, 277, 447, 551, 825, 7571, 3083, 16573, 1189, 64959, 0};
static int joe_kuo_d6_initial_number09350[] = {1, 1, 3, 11, 9, 13, 63, 77, 313, 195, 941, 1621, 165, 8905, 20265, 53761, 25091, 0};
static int joe_kuo_d6_initial_number09351[] = {1, 3, 3, 9, 17, 5, 9, 183, 175, 1015, 253, 233, 2883, 15587, 27175, 38517, 22707, 0};
static int joe_kuo_d6_initial_number09352[] = {1, 3, 3, 11, 23, 63, 83, 17, 49, 671, 749, 3249, 7821, 7189, 26735, 28995, 101737, 0};
static int joe_kuo_d6_initial_number09353[] = {1, 1, 7, 5, 25, 15, 97, 247, 161, 585, 1307, 3803, 1105, 9093, 23523, 1383, 65671, 0};
static int joe_kuo_d6_initial_number09354[] = {1, 1, 3, 15, 29, 51, 65, 237, 349, 709, 799, 1425, 6267, 6283, 4773, 18123, 74833, 0};
static int joe_kuo_d6_initial_number09355[] = {1, 1, 5, 5, 11, 13, 9, 251, 373, 189, 467, 945, 7279, 11349, 10917, 6581, 83967, 0};
static int joe_kuo_d6_initial_number09356[] = {1, 1, 7, 15, 23, 27, 1, 197, 41, 325, 757, 1229, 6295, 345, 26147, 40135, 123063, 0};
static int joe_kuo_d6_initial_number09357[] = {1, 1, 7, 9, 23, 9, 93, 225, 191, 837, 103, 3367, 5411, 8289, 7057, 55391, 10669, 0};
static int joe_kuo_d6_initial_number09358[] = {1, 1, 5, 15, 21, 17, 49, 221, 487, 23, 1943, 1563, 6157, 4035, 27769, 14933, 56913, 0};
static int joe_kuo_d6_initial_number09359[] = {1, 1, 5, 13, 13, 43, 67, 245, 457, 365, 1115, 2205, 6229, 4173, 25167, 56333, 55605, 0};
static int joe_kuo_d6_initial_number09360[] = {1, 1, 5, 11, 15, 59, 109, 83, 17, 913, 497, 1299, 5221, 321, 32139, 13717, 94311, 0};
static int joe_kuo_d6_initial_number09361[] = {1, 3, 3, 3, 31, 11, 5, 203, 3, 843, 2039, 25, 6211, 14927, 6015, 46269, 90369, 0};
static int joe_kuo_d6_initial_number09362[] = {1, 1, 3, 9, 21, 51, 91, 203, 149, 147, 197, 1771, 2921, 6609, 2343, 35249, 12963, 0};
static int joe_kuo_d6_initial_number09363[] = {1, 3, 1, 7, 17, 43, 91, 229, 107, 521, 737, 2355, 5855, 6707, 21217, 47041, 81833, 0};
static int joe_kuo_d6_initial_number09364[] = {1, 3, 3, 7, 7, 31, 97, 135, 503, 665, 1799, 2937, 6867, 4125, 7375, 34401, 18111, 0};
static int joe_kuo_d6_initial_number09365[] = {1, 1, 7, 1, 11, 29, 89, 185, 495, 633, 507, 3727, 5999, 5871, 5911, 24877, 10259, 0};
static int joe_kuo_d6_initial_number09366[] = {1, 1, 1, 13, 25, 3, 25, 65, 91, 411, 147, 3699, 7003, 3017, 25635, 56619, 101491, 0};
static int joe_kuo_d6_initial_number09367[] = {1, 3, 5, 7, 31, 1, 63, 255, 115, 179, 87, 735, 1649, 4767, 31093, 60149, 49829, 0};
static int joe_kuo_d6_initial_number09368[] = {1, 1, 3, 1, 21, 63, 67, 85, 399, 279, 1963, 1759, 4679, 15423, 11533, 54387, 36563, 0};
static int joe_kuo_d6_initial_number09369[] = {1, 3, 5, 3, 31, 53, 73, 73, 481, 443, 1393, 2763, 1199, 5375, 8977, 5369, 114603, 0};
static int joe_kuo_d6_initial_number09370[] = {1, 1, 1, 3, 29, 47, 73, 205, 469, 187, 815, 2787, 1431, 4705, 11455, 53643, 89269, 0};
static int joe_kuo_d6_initial_number09371[] = {1, 3, 3, 9, 27, 57, 93, 55, 287, 539, 1259, 3279, 1563, 11399, 22975, 27077, 41031, 0};
static int joe_kuo_d6_initial_number09372[] = {1, 1, 3, 15, 7, 27, 67, 25, 169, 263, 621, 1921, 509, 11715, 15363, 27447, 75535, 0};
static int joe_kuo_d6_initial_number09373[] = {1, 1, 1, 9, 29, 63, 31, 99, 321, 361, 1693, 763, 5593, 10815, 741, 31257, 70843, 0};
static int joe_kuo_d6_initial_number09374[] = {1, 1, 1, 9, 1, 17, 73, 141, 401, 549, 415, 1289, 1697, 1903, 8919, 59563, 60017, 0};
static int joe_kuo_d6_initial_number09375[] = {1, 3, 7, 3, 5, 51, 127, 221, 9, 929, 153, 1045, 6587, 13653, 5343, 14043, 116125, 0};
static int joe_kuo_d6_initial_number09376[] = {1, 3, 3, 13, 13, 17, 29, 93, 465, 59, 1207, 3121, 6331, 8647, 5047, 41869, 51969, 0};
static int joe_kuo_d6_initial_number09377[] = {1, 1, 1, 15, 23, 29, 47, 149, 119, 855, 367, 1419, 7739, 1141, 19787, 38185, 84403, 0};
static int joe_kuo_d6_initial_number09378[] = {1, 3, 1, 9, 29, 63, 5, 63, 435, 401, 1023, 1981, 6819, 7547, 30065, 33833, 7471, 0};
static int joe_kuo_d6_initial_number09379[] = {1, 3, 1, 15, 1, 47, 35, 161, 243, 225, 935, 2179, 7737, 7841, 28523, 11505, 103741, 0};
static int joe_kuo_d6_initial_number09380[] = {1, 1, 7, 3, 7, 57, 73, 55, 101, 905, 1705, 4057, 3781, 8213, 18997, 17185, 33265, 0};
static int joe_kuo_d6_initial_number09381[] = {1, 1, 5, 1, 7, 57, 31, 77, 323, 395, 927, 1969, 6973, 9013, 30789, 757, 84075, 0};
static int joe_kuo_d6_initial_number09382[] = {1, 1, 3, 7, 15, 53, 51, 205, 401, 679, 1295, 1955, 7739, 11423, 23207, 55449, 60419, 0};
static int joe_kuo_d6_initial_number09383[] = {1, 3, 5, 11, 23, 21, 67, 141, 157, 767, 219, 3607, 1847, 11051, 31499, 8461, 106353, 0};
static int joe_kuo_d6_initial_number09384[] = {1, 1, 3, 9, 17, 19, 123, 169, 1, 31, 1019, 1823, 6043, 1895, 17293, 62079, 16945, 0};
static int joe_kuo_d6_initial_number09385[] = {1, 3, 5, 9, 3, 15, 49, 27, 183, 293, 989, 2161, 1845, 1103, 20149, 11121, 31935, 0};
static int joe_kuo_d6_initial_number09386[] = {1, 3, 1, 3, 17, 39, 103, 45, 491, 91, 413, 487, 1381, 5457, 22503, 40477, 94297, 0};
static int joe_kuo_d6_initial_number09387[] = {1, 1, 3, 7, 29, 11, 87, 79, 349, 437, 945, 3753, 6691, 4373, 24875, 54397, 33697, 0};
static int joe_kuo_d6_initial_number09388[] = {1, 1, 7, 1, 9, 31, 105, 121, 97, 947, 129, 1909, 2371, 5493, 29523, 52685, 24325, 0};
static int joe_kuo_d6_initial_number09389[] = {1, 1, 5, 9, 19, 21, 63, 115, 511, 525, 49, 1879, 6075, 8181, 10135, 56785, 53309, 0};
static int joe_kuo_d6_initial_number09390[] = {1, 1, 5, 15, 3, 55, 75, 135, 451, 697, 1407, 2765, 2443, 11589, 24863, 47187, 98477, 0};
static int joe_kuo_d6_initial_number09391[] = {1, 1, 1, 13, 27, 37, 77, 157, 121, 603, 491, 2201, 619, 9157, 32511, 19843, 49919, 0};
static int joe_kuo_d6_initial_number09392[] = {1, 1, 3, 1, 23, 17, 23, 115, 119, 349, 987, 2587, 1847, 12099, 31955, 31685, 1989, 0};
static int joe_kuo_d6_initial_number09393[] = {1, 3, 7, 7, 5, 47, 63, 209, 69, 921, 1041, 1391, 7485, 11121, 30993, 5691, 74551, 0};
static int joe_kuo_d6_initial_number09394[] = {1, 3, 1, 3, 23, 61, 55, 253, 355, 299, 971, 279, 3543, 10073, 5199, 50539, 88303, 0};
static int joe_kuo_d6_initial_number09395[] = {1, 1, 1, 11, 13, 19, 7, 255, 189, 267, 2021, 93, 219, 10537, 28627, 58141, 53675, 0};
static int joe_kuo_d6_initial_number09396[] = {1, 3, 3, 7, 27, 61, 83, 95, 163, 777, 1533, 2485, 7211, 6979, 4013, 20797, 91411, 0};
static int joe_kuo_d6_initial_number09397[] = {1, 1, 7, 13, 15, 37, 5, 109, 133, 225, 59, 3855, 3351, 659, 24321, 63531, 15573, 0};
static int joe_kuo_d6_initial_number09398[] = {1, 1, 5, 1, 7, 55, 59, 213, 45, 77, 2003, 2921, 1105, 11089, 17197, 45459, 67681, 0};
static int joe_kuo_d6_initial_number09399[] = {1, 1, 1, 5, 13, 21, 107, 245, 505, 409, 1453, 1201, 6945, 2103, 7377, 59413, 8785, 0};
static int joe_kuo_d6_initial_number09400[] = {1, 1, 1, 13, 5, 37, 73, 55, 39, 219, 225, 3877, 6583, 3105, 25355, 14839, 23435, 0};
static int joe_kuo_d6_initial_number09401[] = {1, 1, 7, 1, 21, 35, 87, 227, 487, 767, 609, 1685, 2731, 10135, 381, 24021, 122137, 0};
static int joe_kuo_d6_initial_number09402[] = {1, 1, 1, 3, 29, 13, 19, 255, 355, 505, 1757, 3537, 3029, 11403, 22685, 61169, 397, 0};
static int joe_kuo_d6_initial_number09403[] = {1, 1, 7, 1, 29, 43, 11, 207, 83, 97, 435, 1453, 4709, 4193, 18517, 47203, 3255, 0};
static int joe_kuo_d6_initial_number09404[] = {1, 1, 1, 1, 21, 49, 39, 163, 459, 849, 561, 1207, 4109, 1435, 17519, 14839, 1331, 0};
static int joe_kuo_d6_initial_number09405[] = {1, 1, 3, 11, 27, 35, 65, 219, 135, 559, 1111, 2959, 7835, 5165, 26641, 22765, 121829, 0};
static int joe_kuo_d6_initial_number09406[] = {1, 3, 5, 3, 23, 31, 57, 149, 431, 451, 189, 1771, 5877, 3503, 7531, 46485, 129031, 0};
static int joe_kuo_d6_initial_number09407[] = {1, 1, 3, 11, 1, 13, 47, 17, 331, 1003, 215, 2797, 689, 6289, 12719, 37139, 35827, 0};
static int joe_kuo_d6_initial_number09408[] = {1, 3, 5, 9, 19, 13, 11, 29, 275, 165, 783, 313, 2153, 6009, 2247, 5699, 128753, 0};
static int joe_kuo_d6_initial_number09409[] = {1, 1, 7, 13, 5, 43, 51, 75, 411, 743, 335, 217, 559, 15389, 6567, 41193, 127443, 0};
static int joe_kuo_d6_initial_number09410[] = {1, 3, 5, 15, 5, 63, 7, 145, 445, 835, 825, 35, 5951, 5121, 16365, 36789, 2941, 0};
static int joe_kuo_d6_initial_number09411[] = {1, 3, 5, 5, 29, 1, 61, 19, 427, 245, 445, 3505, 3647, 8817, 8031, 64577, 60745, 0};
static int joe_kuo_d6_initial_number09412[] = {1, 1, 3, 9, 29, 9, 35, 225, 55, 535, 1537, 831, 6483, 16123, 26079, 32809, 62227, 0};
static int joe_kuo_d6_initial_number09413[] = {1, 3, 7, 7, 25, 33, 15, 61, 343, 749, 1963, 2763, 3171, 6755, 6529, 49449, 88903, 0};
static int joe_kuo_d6_initial_number09414[] = {1, 1, 7, 13, 17, 35, 91, 119, 87, 1023, 1101, 1785, 2005, 15947, 21679, 63179, 3389, 0};
static int joe_kuo_d6_initial_number09415[] = {1, 3, 1, 1, 1, 1, 123, 195, 315, 681, 153, 1621, 5097, 3669, 20505, 39305, 127065, 0};
static int joe_kuo_d6_initial_number09416[] = {1, 1, 5, 11, 1, 17, 73, 251, 185, 59, 1723, 2321, 2103, 6331, 29571, 63811, 66651, 0};
static int joe_kuo_d6_initial_number09417[] = {1, 1, 7, 13, 15, 19, 111, 91, 211, 85, 711, 2197, 3107, 2717, 16725, 52995, 65791, 0};
static int joe_kuo_d6_initial_number09418[] = {1, 3, 3, 9, 21, 41, 53, 145, 459, 155, 93, 2833, 6747, 737, 30625, 40581, 65825, 0};
static int joe_kuo_d6_initial_number09419[] = {1, 3, 3, 3, 1, 45, 119, 81, 185, 431, 1221, 3043, 7277, 10537, 12355, 42261, 126117, 0};
static int joe_kuo_d6_initial_number09420[] = {1, 3, 7, 7, 11, 47, 37, 41, 123, 643, 707, 2963, 6183, 15527, 10951, 24031, 38187, 0};
static int joe_kuo_d6_initial_number09421[] = {1, 3, 1, 7, 13, 57, 1, 149, 117, 627, 1999, 2805, 4857, 12805, 31453, 25699, 109447, 0};
static int joe_kuo_d6_initial_number09422[] = {1, 3, 5, 3, 9, 37, 83, 221, 77, 573, 661, 465, 1279, 7355, 24061, 36151, 96595, 0};
static int joe_kuo_d6_initial_number09423[] = {1, 1, 7, 15, 29, 31, 125, 205, 449, 563, 1263, 3427, 8013, 14025, 15235, 11833, 25601, 0};
static int joe_kuo_d6_initial_number09424[] = {1, 3, 7, 11, 31, 35, 99, 193, 163, 527, 1455, 395, 4853, 2561, 11909, 57311, 101007, 0};
static int joe_kuo_d6_initial_number09425[] = {1, 1, 5, 3, 17, 39, 99, 173, 497, 245, 1671, 3457, 83, 11959, 2963, 3401, 102259, 0};
static int joe_kuo_d6_initial_number09426[] = {1, 1, 1, 5, 25, 41, 119, 81, 301, 797, 661, 2543, 1195, 2111, 1785, 41533, 51947, 0};
static int joe_kuo_d6_initial_number09427[] = {1, 3, 3, 13, 5, 59, 61, 153, 213, 541, 1849, 249, 3897, 3877, 17095, 6857, 76781, 0};
static int joe_kuo_d6_initial_number09428[] = {1, 3, 7, 1, 19, 13, 57, 47, 359, 165, 1085, 2263, 3261, 12825, 17405, 25853, 20731, 0};
static int joe_kuo_d6_initial_number09429[] = {1, 1, 1, 7, 7, 43, 7, 65, 51, 503, 173, 1023, 283, 14809, 1183, 33497, 110683, 0};
static int joe_kuo_d6_initial_number09430[] = {1, 3, 5, 11, 19, 51, 29, 157, 159, 191, 1293, 2951, 6569, 12433, 14587, 30631, 30485, 0};
static int joe_kuo_d6_initial_number09431[] = {1, 3, 7, 5, 1, 27, 25, 221, 255, 471, 779, 3991, 6985, 1803, 28451, 33403, 5567, 0};
static int joe_kuo_d6_initial_number09432[] = {1, 1, 5, 5, 7, 29, 55, 241, 457, 863, 1715, 3393, 4127, 13985, 6313, 13683, 114837, 0};
static int joe_kuo_d6_initial_number09433[] = {1, 3, 5, 5, 11, 27, 55, 109, 247, 199, 1593, 2881, 307, 97, 24751, 35921, 121931, 0};
static int joe_kuo_d6_initial_number09434[] = {1, 3, 1, 13, 3, 59, 17, 161, 47, 467, 1019, 3629, 3017, 15645, 3983, 32393, 79213, 0};
static int joe_kuo_d6_initial_number09435[] = {1, 1, 3, 11, 19, 57, 67, 199, 319, 107, 2043, 2045, 4025, 5733, 29979, 37721, 117031, 0};
static int joe_kuo_d6_initial_number09436[] = {1, 3, 7, 11, 9, 23, 31, 81, 177, 801, 1177, 3451, 7777, 15351, 7579, 39033, 23847, 0};
static int joe_kuo_d6_initial_number09437[] = {1, 1, 3, 5, 17, 61, 63, 7, 371, 905, 1147, 1383, 4075, 6721, 17503, 32015, 112547, 0};
static int joe_kuo_d6_initial_number09438[] = {1, 1, 3, 13, 13, 25, 69, 159, 49, 133, 227, 2155, 1603, 10077, 3429, 39131, 18949, 0};
static int joe_kuo_d6_initial_number09439[] = {1, 3, 5, 3, 29, 5, 115, 93, 243, 791, 1113, 2841, 4733, 3041, 31733, 28539, 84567, 0};
static int joe_kuo_d6_initial_number09440[] = {1, 3, 3, 7, 21, 9, 5, 95, 489, 517, 1453, 2697, 7951, 12369, 19571, 29811, 51805, 0};
static int joe_kuo_d6_initial_number09441[] = {1, 1, 5, 9, 1, 29, 97, 191, 73, 357, 745, 2787, 7815, 4565, 19761, 33729, 86849, 0};
static int joe_kuo_d6_initial_number09442[] = {1, 3, 5, 13, 3, 5, 35, 79, 387, 813, 1673, 3187, 337, 5539, 6761, 46903, 122967, 0};
static int joe_kuo_d6_initial_number09443[] = {1, 1, 7, 11, 1, 15, 125, 175, 255, 35, 145, 2391, 887, 10505, 11587, 53941, 5089, 0};
static int joe_kuo_d6_initial_number09444[] = {1, 1, 7, 13, 9, 13, 15, 215, 361, 227, 1665, 3345, 3615, 14031, 16281, 4457, 52037, 0};
static int joe_kuo_d6_initial_number09445[] = {1, 3, 5, 9, 31, 21, 3, 189, 211, 855, 1781, 2097, 1345, 6763, 27651, 54137, 52689, 0};
static int joe_kuo_d6_initial_number09446[] = {1, 3, 1, 5, 29, 9, 99, 183, 183, 205, 149, 53, 7179, 3387, 9603, 4281, 47145, 0};
static int joe_kuo_d6_initial_number09447[] = {1, 3, 1, 11, 13, 35, 97, 21, 29, 877, 191, 1621, 2501, 4283, 1707, 48957, 129029, 0};
static int joe_kuo_d6_initial_number09448[] = {1, 3, 1, 9, 5, 19, 57, 219, 105, 467, 1179, 3155, 7743, 4835, 14845, 35671, 47655, 0};
static int joe_kuo_d6_initial_number09449[] = {1, 3, 1, 7, 27, 41, 27, 185, 271, 611, 1173, 2875, 529, 11619, 20231, 18741, 41799, 0};
static int joe_kuo_d6_initial_number09450[] = {1, 3, 7, 13, 9, 3, 35, 71, 467, 689, 1797, 319, 6657, 13193, 15861, 7567, 12891, 0};
static int joe_kuo_d6_initial_number09451[] = {1, 1, 7, 13, 19, 57, 25, 141, 195, 995, 859, 811, 4685, 6711, 8963, 49657, 54751, 0};
static int joe_kuo_d6_initial_number09452[] = {1, 1, 1, 11, 27, 25, 9, 91, 97, 251, 757, 2783, 5447, 3617, 26801, 32501, 55245, 0};
static int joe_kuo_d6_initial_number09453[] = {1, 3, 7, 1, 5, 1, 103, 129, 127, 593, 857, 3957, 3665, 10279, 26211, 2095, 15869, 0};
static int joe_kuo_d6_initial_number09454[] = {1, 1, 7, 1, 25, 49, 3, 139, 25, 545, 615, 1353, 4103, 1099, 21729, 45383, 110611, 0};
static int joe_kuo_d6_initial_number09455[] = {1, 3, 5, 3, 7, 49, 83, 41, 209, 357, 939, 849, 5851, 3945, 831, 8131, 105897, 0};
static int joe_kuo_d6_initial_number09456[] = {1, 1, 1, 3, 27, 19, 123, 71, 195, 1019, 1021, 1287, 5665, 5277, 8647, 27033, 89539, 0};
static int joe_kuo_d6_initial_number09457[] = {1, 1, 1, 9, 27, 51, 49, 159, 401, 1013, 763, 653, 1449, 12441, 21191, 28871, 106181, 0};
static int joe_kuo_d6_initial_number09458[] = {1, 1, 5, 7, 31, 7, 105, 137, 331, 367, 1305, 2761, 863, 3915, 12633, 32251, 82867, 0};
static int joe_kuo_d6_initial_number09459[] = {1, 3, 7, 11, 9, 47, 35, 57, 137, 269, 443, 79, 11, 11817, 28995, 46681, 104263, 0};
static int joe_kuo_d6_initial_number09460[] = {1, 3, 1, 5, 3, 25, 89, 179, 183, 835, 367, 2215, 295, 5365, 1899, 10785, 88979, 0};
static int joe_kuo_d6_initial_number09461[] = {1, 3, 7, 13, 3, 5, 93, 43, 409, 363, 267, 2077, 3745, 445, 25957, 34103, 29475, 0};
static int joe_kuo_d6_initial_number09462[] = {1, 1, 1, 7, 27, 21, 121, 29, 171, 783, 553, 265, 6835, 3929, 18127, 33463, 70999, 0};
static int joe_kuo_d6_initial_number09463[] = {1, 3, 3, 15, 15, 55, 13, 1, 297, 935, 1307, 1779, 2239, 15471, 32453, 30649, 45973, 0};
static int joe_kuo_d6_initial_number09464[] = {1, 3, 7, 5, 25, 41, 3, 171, 347, 607, 1873, 1087, 2433, 8377, 7959, 19941, 117319, 0};
static int joe_kuo_d6_initial_number09465[] = {1, 1, 1, 3, 5, 47, 107, 69, 431, 63, 325, 1241, 3487, 11249, 28559, 30001, 93789, 0};
static int joe_kuo_d6_initial_number09466[] = {1, 1, 1, 5, 15, 17, 9, 145, 335, 169, 1099, 3637, 5397, 6711, 16095, 27053, 124247, 0};
static int joe_kuo_d6_initial_number09467[] = {1, 3, 3, 5, 3, 9, 65, 97, 421, 951, 2003, 2837, 7095, 15685, 5147, 56801, 98679, 0};
static int joe_kuo_d6_initial_number09468[] = {1, 3, 7, 15, 1, 33, 115, 45, 215, 253, 361, 555, 787, 15483, 25531, 53273, 8933, 0};
static int joe_kuo_d6_initial_number09469[] = {1, 3, 1, 9, 3, 63, 47, 205, 457, 977, 991, 3189, 1369, 14899, 10937, 56999, 11525, 0};
static int joe_kuo_d6_initial_number09470[] = {1, 1, 7, 5, 11, 61, 53, 55, 231, 357, 1695, 2489, 2355, 7583, 14097, 50039, 96595, 0};
static int joe_kuo_d6_initial_number09471[] = {1, 3, 7, 7, 3, 57, 115, 245, 259, 573, 1275, 2971, 1793, 13683, 8683, 51815, 26807, 0};
static int joe_kuo_d6_initial_number09472[] = {1, 1, 5, 3, 17, 59, 55, 237, 491, 757, 1447, 2941, 2641, 14175, 4401, 4367, 36853, 0};
static int joe_kuo_d6_initial_number09473[] = {1, 3, 1, 15, 3, 63, 67, 1, 403, 79, 1161, 2379, 3337, 14447, 5877, 40759, 12573, 0};
static int joe_kuo_d6_initial_number09474[] = {1, 1, 7, 15, 17, 1, 91, 5, 173, 215, 1567, 1851, 3309, 9813, 21215, 19151, 96785, 0};
static int joe_kuo_d6_initial_number09475[] = {1, 1, 1, 9, 31, 45, 123, 221, 397, 51, 1489, 3247, 923, 10423, 10461, 51231, 92909, 0};
static int joe_kuo_d6_initial_number09476[] = {1, 1, 1, 13, 27, 17, 105, 163, 403, 193, 1487, 2421, 4415, 14303, 6419, 24105, 29997, 0};
static int joe_kuo_d6_initial_number09477[] = {1, 1, 5, 13, 31, 55, 17, 125, 341, 219, 401, 1611, 891, 12909, 13949, 46245, 26769, 0};
static int joe_kuo_d6_initial_number09478[] = {1, 3, 7, 3, 31, 41, 65, 207, 311, 643, 1617, 271, 3749, 14635, 26385, 55251, 50719, 0};
static int joe_kuo_d6_initial_number09479[] = {1, 3, 3, 13, 7, 55, 69, 241, 413, 399, 137, 2255, 5395, 12625, 26583, 64603, 22571, 0};
static int joe_kuo_d6_initial_number09480[] = {1, 3, 5, 3, 31, 15, 15, 161, 153, 445, 595, 273, 6631, 12845, 23331, 16963, 52099, 0};
static int joe_kuo_d6_initial_number09481[] = {1, 3, 3, 1, 27, 39, 71, 41, 455, 841, 831, 1719, 3531, 5113, 29183, 1933, 42227, 0};
static int joe_kuo_d6_initial_number09482[] = {1, 3, 7, 3, 1, 15, 31, 183, 429, 557, 1747, 1059, 2079, 16361, 29103, 43207, 921, 0};
static int joe_kuo_d6_initial_number09483[] = {1, 3, 1, 1, 31, 39, 97, 73, 339, 405, 1423, 2215, 5435, 9205, 1889, 58249, 61517, 0};
static int joe_kuo_d6_initial_number09484[] = {1, 3, 7, 1, 23, 59, 127, 245, 11, 627, 1555, 2497, 6427, 7205, 22675, 62847, 69691, 0};
static int joe_kuo_d6_initial_number09485[] = {1, 1, 3, 5, 1, 13, 95, 9, 167, 481, 947, 3181, 8057, 5559, 7537, 33757, 72419, 0};
static int joe_kuo_d6_initial_number09486[] = {1, 1, 7, 3, 15, 9, 105, 205, 287, 375, 115, 1731, 1063, 11551, 12077, 41013, 88853, 0};
static int joe_kuo_d6_initial_number09487[] = {1, 3, 3, 9, 5, 63, 127, 33, 409, 279, 1379, 4069, 4091, 14703, 27435, 19525, 71261, 0};
static int joe_kuo_d6_initial_number09488[] = {1, 3, 1, 13, 31, 31, 59, 205, 167, 131, 891, 1259, 6909, 211, 31517, 8085, 112065, 0};
static int joe_kuo_d6_initial_number09489[] = {1, 1, 5, 11, 17, 25, 119, 77, 449, 569, 381, 825, 2459, 983, 2959, 51611, 90721, 0};
static int joe_kuo_d6_initial_number09490[] = {1, 3, 1, 7, 17, 55, 91, 231, 133, 541, 499, 3609, 4237, 11627, 30007, 58911, 43443, 0};
static int joe_kuo_d6_initial_number09491[] = {1, 3, 7, 7, 29, 5, 47, 187, 71, 695, 1389, 2855, 5815, 11605, 3643, 24961, 25793, 0};
static int joe_kuo_d6_initial_number09492[] = {1, 3, 3, 5, 11, 31, 43, 31, 185, 1021, 795, 3585, 3981, 8627, 18117, 42351, 19513, 0};
static int joe_kuo_d6_initial_number09493[] = {1, 1, 5, 13, 9, 3, 115, 45, 39, 577, 1847, 653, 2625, 9367, 27923, 35661, 113613, 0};
static int joe_kuo_d6_initial_number09494[] = {1, 3, 7, 7, 17, 9, 69, 233, 367, 673, 11, 2215, 1177, 4501, 9693, 62013, 45647, 0};
static int joe_kuo_d6_initial_number09495[] = {1, 3, 5, 7, 7, 53, 11, 227, 465, 843, 2017, 689, 6767, 10321, 25163, 56561, 6865, 0};
static int joe_kuo_d6_initial_number09496[] = {1, 3, 3, 5, 13, 43, 119, 9, 185, 893, 133, 863, 7137, 6653, 7875, 23167, 13893, 0};
static int joe_kuo_d6_initial_number09497[] = {1, 3, 5, 9, 1, 47, 17, 85, 273, 901, 493, 2411, 983, 15717, 25151, 21323, 57939, 0};
static int joe_kuo_d6_initial_number09498[] = {1, 1, 7, 5, 19, 17, 49, 37, 425, 443, 781, 2593, 4929, 12313, 12727, 42285, 88451, 0};
static int joe_kuo_d6_initial_number09499[] = {1, 3, 3, 11, 9, 53, 17, 67, 237, 463, 1509, 2153, 3715, 7909, 21151, 64517, 87695, 0};
static int joe_kuo_d6_initial_number09500[] = {1, 3, 7, 1, 29, 39, 25, 83, 413, 1005, 2011, 3933, 2911, 7041, 10537, 23135, 22671, 0};
static int joe_kuo_d6_initial_number09501[] = {1, 1, 3, 9, 23, 61, 117, 33, 431, 181, 1819, 683, 1809, 1723, 27041, 29113, 99347, 0};
static int joe_kuo_d6_initial_number09502[] = {1, 1, 5, 11, 11, 7, 101, 181, 51, 857, 923, 3495, 7123, 7775, 30081, 48513, 116137, 0};
static int joe_kuo_d6_initial_number09503[] = {1, 1, 3, 11, 15, 31, 97, 127, 365, 799, 715, 2101, 6081, 11607, 1055, 35027, 62967, 0};
static int joe_kuo_d6_initial_number09504[] = {1, 3, 5, 7, 3, 31, 109, 247, 225, 221, 1093, 2633, 1847, 7427, 8767, 16581, 32145, 0};
static int joe_kuo_d6_initial_number09505[] = {1, 3, 1, 7, 15, 23, 43, 109, 327, 417, 1895, 2333, 6265, 6599, 6623, 47375, 92731, 0};
static int joe_kuo_d6_initial_number09506[] = {1, 3, 7, 1, 29, 29, 45, 217, 163, 941, 1327, 3685, 5481, 15783, 26281, 60339, 34277, 0};
static int joe_kuo_d6_initial_number09507[] = {1, 1, 7, 11, 1, 7, 119, 201, 29, 193, 1805, 1395, 267, 2011, 637, 26765, 48883, 0};
static int joe_kuo_d6_initial_number09508[] = {1, 1, 3, 7, 11, 63, 41, 89, 365, 729, 25, 3185, 2143, 1737, 29693, 7443, 78079, 0};
static int joe_kuo_d6_initial_number09509[] = {1, 3, 1, 13, 25, 27, 63, 233, 79, 1007, 1357, 679, 7581, 8333, 2469, 31787, 128531, 0};
static int joe_kuo_d6_initial_number09510[] = {1, 3, 1, 3, 23, 39, 53, 99, 219, 475, 931, 507, 3615, 10613, 14663, 1151, 123459, 0};
static int joe_kuo_d6_initial_number09511[] = {1, 1, 1, 1, 13, 15, 67, 45, 393, 791, 415, 2731, 1151, 8935, 28983, 7239, 106247, 0};
static int joe_kuo_d6_initial_number09512[] = {1, 3, 7, 7, 11, 35, 95, 153, 421, 193, 1997, 2587, 3183, 9229, 17663, 28221, 6759, 0};
static int joe_kuo_d6_initial_number09513[] = {1, 3, 1, 7, 5, 5, 123, 55, 509, 973, 261, 463, 2723, 15225, 1925, 62283, 86329, 0};
static int joe_kuo_d6_initial_number09514[] = {1, 1, 3, 13, 5, 47, 123, 239, 273, 407, 1725, 717, 1229, 1387, 11743, 13739, 104503, 0};
static int joe_kuo_d6_initial_number09515[] = {1, 3, 3, 13, 23, 35, 43, 113, 299, 847, 1903, 3445, 3395, 641, 11271, 61517, 40747, 0};
static int joe_kuo_d6_initial_number09516[] = {1, 3, 1, 15, 17, 49, 97, 9, 335, 731, 151, 167, 8129, 11845, 18285, 20113, 122397, 0};
static int joe_kuo_d6_initial_number09517[] = {1, 1, 5, 11, 11, 63, 3, 153, 345, 511, 1939, 1815, 7231, 10555, 14293, 50753, 14681, 0};
static int joe_kuo_d6_initial_number09518[] = {1, 3, 7, 5, 21, 31, 127, 223, 241, 783, 887, 3519, 4743, 3541, 4143, 57461, 27791, 0};
static int joe_kuo_d6_initial_number09519[] = {1, 1, 5, 7, 13, 15, 83, 225, 201, 979, 145, 769, 1491, 12155, 21307, 64877, 113277, 0};
static int joe_kuo_d6_initial_number09520[] = {1, 1, 7, 1, 27, 25, 105, 69, 239, 323, 1059, 573, 4913, 14215, 27007, 42351, 66315, 0};
static int joe_kuo_d6_initial_number09521[] = {1, 1, 3, 11, 21, 33, 93, 23, 363, 633, 935, 637, 6171, 12695, 14077, 17505, 69681, 0};
static int joe_kuo_d6_initial_number09522[] = {1, 3, 1, 5, 15, 11, 93, 211, 175, 377, 33, 1403, 5097, 1503, 8483, 2881, 85877, 0};
static int joe_kuo_d6_initial_number09523[] = {1, 1, 5, 3, 5, 51, 5, 255, 429, 661, 625, 3015, 4813, 3573, 22917, 45967, 70559, 0};
static int joe_kuo_d6_initial_number09524[] = {1, 1, 7, 3, 11, 41, 3, 197, 181, 897, 767, 1385, 7395, 15543, 4655, 40309, 73169, 0};
static int joe_kuo_d6_initial_number09525[] = {1, 1, 5, 9, 15, 35, 71, 119, 509, 817, 1169, 75, 1337, 2959, 611, 38243, 46987, 0};
static int joe_kuo_d6_initial_number09526[] = {1, 1, 1, 9, 1, 7, 43, 65, 479, 625, 1685, 1309, 5619, 14163, 13633, 18169, 8311, 0};
static int joe_kuo_d6_initial_number09527[] = {1, 3, 5, 9, 19, 39, 95, 105, 273, 1023, 79, 229, 6895, 2931, 5717, 27911, 22139, 0};
static int joe_kuo_d6_initial_number09528[] = {1, 3, 5, 7, 1, 55, 15, 15, 297, 731, 2029, 2789, 11, 1333, 26571, 62595, 15131, 0};
static int joe_kuo_d6_initial_number09529[] = {1, 1, 5, 7, 29, 35, 3, 125, 381, 709, 2047, 2395, 6315, 2301, 7175, 19857, 75085, 0};
static int joe_kuo_d6_initial_number09530[] = {1, 1, 5, 15, 23, 45, 95, 117, 49, 635, 1525, 1105, 7335, 4653, 18159, 29729, 62627, 0};
static int joe_kuo_d6_initial_number09531[] = {1, 3, 3, 11, 29, 19, 29, 169, 141, 243, 1765, 1829, 4555, 16299, 3053, 58933, 44605, 0};
static int joe_kuo_d6_initial_number09532[] = {1, 1, 3, 15, 5, 45, 35, 213, 385, 993, 1521, 9, 3561, 10497, 12601, 38163, 86501, 0};
static int joe_kuo_d6_initial_number09533[] = {1, 3, 3, 13, 9, 23, 109, 95, 491, 1003, 473, 3325, 6577, 14617, 17765, 33391, 82927, 0};
static int joe_kuo_d6_initial_number09534[] = {1, 3, 3, 11, 25, 31, 93, 111, 231, 71, 1233, 3581, 6789, 4569, 16741, 61967, 32249, 0};
static int joe_kuo_d6_initial_number09535[] = {1, 3, 3, 15, 15, 63, 39, 247, 79, 923, 327, 2639, 2013, 12325, 18133, 60623, 2215, 0};
static int joe_kuo_d6_initial_number09536[] = {1, 3, 5, 1, 5, 49, 121, 53, 283, 529, 37, 3233, 6285, 12447, 4355, 9343, 45631, 0};
static int joe_kuo_d6_initial_number09537[] = {1, 1, 7, 11, 11, 11, 111, 139, 429, 279, 1019, 2139, 2033, 6809, 8847, 22535, 107005, 0};
static int joe_kuo_d6_initial_number09538[] = {1, 3, 5, 1, 1, 21, 35, 97, 167, 57, 491, 511, 4065, 11699, 16851, 6847, 40929, 0};
static int joe_kuo_d6_initial_number09539[] = {1, 3, 1, 15, 3, 55, 113, 33, 255, 537, 835, 1867, 3927, 839, 955, 29079, 93727, 0};
static int joe_kuo_d6_initial_number09540[] = {1, 1, 7, 3, 5, 7, 35, 111, 165, 885, 115, 3051, 4541, 1701, 22827, 361, 91843, 0};
static int joe_kuo_d6_initial_number09541[] = {1, 1, 7, 11, 7, 55, 81, 43, 237, 725, 1761, 1599, 639, 14189, 31241, 52827, 107943, 0};
static int joe_kuo_d6_initial_number09542[] = {1, 3, 1, 3, 29, 35, 67, 119, 369, 877, 1861, 123, 8121, 13861, 31155, 60245, 79799, 0};
static int joe_kuo_d6_initial_number09543[] = {1, 1, 3, 13, 7, 49, 63, 19, 253, 723, 639, 1677, 291, 13697, 22231, 46893, 90069, 0};
static int joe_kuo_d6_initial_number09544[] = {1, 3, 5, 1, 7, 57, 29, 233, 35, 715, 515, 3221, 2715, 13839, 18321, 4445, 103843, 0};
static int joe_kuo_d6_initial_number09545[] = {1, 3, 1, 7, 1, 63, 33, 7, 481, 461, 1923, 2679, 2441, 5449, 13233, 2245, 48667, 0};
static int joe_kuo_d6_initial_number09546[] = {1, 1, 7, 11, 11, 9, 95, 151, 441, 333, 1871, 1181, 3027, 12887, 11923, 63847, 6953, 0};
static int joe_kuo_d6_initial_number09547[] = {1, 3, 5, 5, 15, 33, 53, 47, 351, 387, 55, 393, 5475, 3027, 18565, 37997, 120877, 0};
static int joe_kuo_d6_initial_number09548[] = {1, 3, 5, 9, 23, 43, 67, 97, 445, 783, 1499, 1977, 1441, 10159, 13479, 149, 4939, 0};
static int joe_kuo_d6_initial_number09549[] = {1, 3, 7, 3, 15, 41, 119, 55, 139, 25, 849, 857, 53, 10421, 2683, 24839, 107797, 0};
static int joe_kuo_d6_initial_number09550[] = {1, 1, 7, 13, 25, 51, 51, 13, 333, 93, 95, 1755, 3055, 12585, 3519, 44857, 11257, 0};
static int joe_kuo_d6_initial_number09551[] = {1, 1, 5, 11, 29, 55, 13, 235, 419, 327, 823, 2675, 8031, 9303, 8749, 20215, 12111, 0};
static int joe_kuo_d6_initial_number09552[] = {1, 1, 3, 5, 7, 31, 103, 19, 467, 255, 583, 419, 2845, 12179, 63, 51693, 9755, 0};
static int joe_kuo_d6_initial_number09553[] = {1, 1, 1, 13, 15, 29, 109, 81, 381, 659, 601, 3867, 7663, 7307, 16445, 56327, 48559, 0};
static int joe_kuo_d6_initial_number09554[] = {1, 3, 3, 15, 31, 35, 29, 153, 423, 247, 55, 3259, 6199, 4199, 13931, 14433, 52645, 0};
static int joe_kuo_d6_initial_number09555[] = {1, 1, 5, 11, 9, 17, 17, 191, 231, 977, 721, 2817, 2485, 4965, 32341, 55131, 4547, 0};
static int joe_kuo_d6_initial_number09556[] = {1, 1, 7, 7, 7, 7, 89, 69, 299, 503, 597, 311, 1321, 2335, 30193, 45347, 126631, 0};
static int joe_kuo_d6_initial_number09557[] = {1, 1, 7, 11, 13, 43, 105, 153, 89, 229, 1573, 1549, 3699, 15981, 28911, 45011, 83759, 0};
static int joe_kuo_d6_initial_number09558[] = {1, 3, 7, 3, 1, 3, 121, 137, 263, 325, 1449, 3793, 5795, 7715, 7449, 26453, 85081, 0};
static int joe_kuo_d6_initial_number09559[] = {1, 3, 1, 7, 23, 15, 39, 217, 99, 873, 1641, 1411, 4627, 283, 20707, 41795, 62239, 0};
static int joe_kuo_d6_initial_number09560[] = {1, 3, 5, 9, 15, 15, 35, 255, 501, 945, 79, 799, 2361, 4495, 27825, 27699, 129335, 0};
static int joe_kuo_d6_initial_number09561[] = {1, 3, 1, 7, 9, 19, 89, 31, 65, 905, 1475, 1353, 7253, 12825, 20723, 47757, 12007, 0};
static int joe_kuo_d6_initial_number09562[] = {1, 1, 3, 3, 15, 35, 83, 239, 463, 835, 1249, 2521, 3429, 14073, 13569, 6161, 71309, 0};
static int joe_kuo_d6_initial_number09563[] = {1, 1, 7, 11, 31, 43, 15, 57, 461, 917, 339, 3787, 2925, 1879, 7217, 17091, 108819, 0};
static int joe_kuo_d6_initial_number09564[] = {1, 3, 7, 3, 17, 51, 29, 105, 221, 941, 1291, 835, 1563, 15623, 2953, 62985, 63037, 0};
static int joe_kuo_d6_initial_number09565[] = {1, 1, 7, 3, 1, 39, 83, 41, 399, 465, 587, 2011, 137, 6017, 5067, 52389, 71053, 0};
static int joe_kuo_d6_initial_number09566[] = {1, 1, 7, 11, 17, 55, 103, 239, 173, 181, 1219, 2671, 5183, 3799, 19589, 31247, 68889, 0};
static int joe_kuo_d6_initial_number09567[] = {1, 1, 3, 3, 21, 43, 123, 253, 281, 627, 353, 3077, 1685, 12143, 19723, 57775, 70761, 0};
static int joe_kuo_d6_initial_number09568[] = {1, 1, 7, 15, 31, 13, 101, 159, 311, 305, 1783, 3523, 149, 9269, 7103, 40315, 30569, 0};
static int joe_kuo_d6_initial_number09569[] = {1, 1, 5, 3, 29, 47, 11, 219, 301, 207, 1361, 563, 7831, 14469, 18983, 54535, 64647, 0};
static int joe_kuo_d6_initial_number09570[] = {1, 1, 3, 15, 11, 37, 85, 237, 225, 1009, 1065, 985, 6849, 5395, 22853, 43965, 51363, 0};
static int joe_kuo_d6_initial_number09571[] = {1, 3, 3, 1, 11, 61, 45, 131, 201, 609, 757, 2539, 3817, 9309, 24759, 26789, 41437, 0};
static int joe_kuo_d6_initial_number09572[] = {1, 1, 7, 3, 21, 5, 19, 137, 75, 573, 583, 2499, 41, 3429, 24273, 36711, 110015, 0};
static int joe_kuo_d6_initial_number09573[] = {1, 3, 7, 9, 1, 51, 39, 75, 115, 269, 1983, 2709, 6989, 6521, 5551, 43675, 1019, 0};
static int joe_kuo_d6_initial_number09574[] = {1, 1, 3, 9, 27, 1, 125, 7, 67, 821, 275, 1253, 4635, 3557, 4155, 13831, 1523, 0};
static int joe_kuo_d6_initial_number09575[] = {1, 1, 5, 15, 23, 15, 79, 43, 275, 791, 1867, 2495, 2933, 2167, 22819, 52913, 88871, 0};
static int joe_kuo_d6_initial_number09576[] = {1, 1, 1, 5, 31, 59, 27, 153, 159, 919, 219, 3373, 3227, 6321, 27559, 33905, 126145, 0};
static int joe_kuo_d6_initial_number09577[] = {1, 3, 3, 13, 23, 21, 119, 175, 119, 741, 1745, 3985, 3847, 5163, 13699, 32373, 75201, 0};
static int joe_kuo_d6_initial_number09578[] = {1, 3, 7, 15, 1, 47, 101, 89, 425, 269, 713, 3587, 3373, 13315, 16481, 40031, 50353, 0};
static int joe_kuo_d6_initial_number09579[] = {1, 3, 7, 3, 19, 29, 5, 69, 385, 979, 1893, 1849, 8007, 14415, 18343, 60555, 109117, 0};
static int joe_kuo_d6_initial_number09580[] = {1, 1, 3, 13, 5, 35, 111, 239, 489, 395, 1565, 1607, 543, 89, 8971, 22311, 899, 0};
static int joe_kuo_d6_initial_number09581[] = {1, 1, 7, 7, 11, 51, 105, 211, 341, 85, 991, 1275, 3995, 12611, 2363, 29501, 44217, 0};
static int joe_kuo_d6_initial_number09582[] = {1, 1, 5, 13, 9, 17, 93, 69, 145, 917, 469, 1109, 7405, 12903, 8341, 50383, 20133, 0};
static int joe_kuo_d6_initial_number09583[] = {1, 3, 1, 7, 27, 45, 45, 85, 101, 161, 1117, 2757, 7847, 359, 17155, 27073, 123535, 0};
static int joe_kuo_d6_initial_number09584[] = {1, 3, 1, 3, 9, 11, 67, 205, 109, 257, 1635, 141, 3969, 11571, 211, 48683, 108671, 0};
static int joe_kuo_d6_initial_number09585[] = {1, 1, 3, 7, 13, 9, 29, 251, 113, 851, 1549, 981, 5553, 6095, 28885, 32953, 112563, 0};
static int joe_kuo_d6_initial_number09586[] = {1, 1, 5, 7, 11, 5, 13, 83, 343, 499, 587, 3887, 3859, 11459, 7361, 25665, 86151, 0};
static int joe_kuo_d6_initial_number09587[] = {1, 1, 5, 1, 13, 43, 3, 37, 273, 749, 1707, 2069, 3083, 1095, 3081, 23919, 21939, 0};
static int joe_kuo_d6_initial_number09588[] = {1, 3, 5, 13, 13, 49, 115, 99, 357, 95, 699, 2615, 1911, 12675, 8607, 12535, 118651, 0};
static int joe_kuo_d6_initial_number09589[] = {1, 1, 7, 7, 29, 43, 17, 131, 271, 895, 1427, 3659, 1843, 8247, 1175, 48239, 54435, 0};
static int joe_kuo_d6_initial_number09590[] = {1, 1, 1, 9, 1, 27, 85, 163, 353, 669, 745, 317, 2505, 7685, 14831, 31131, 106687, 0};
static int joe_kuo_d6_initial_number09591[] = {1, 1, 7, 9, 1, 23, 121, 53, 289, 651, 303, 3049, 6819, 6733, 17485, 20023, 110009, 0};
static int joe_kuo_d6_initial_number09592[] = {1, 3, 7, 3, 5, 47, 93, 75, 363, 479, 825, 1801, 6807, 3341, 6419, 9889, 5557, 0};
static int joe_kuo_d6_initial_number09593[] = {1, 1, 3, 15, 23, 5, 7, 25, 73, 811, 1597, 2041, 6707, 6817, 20427, 50749, 46255, 0};
static int joe_kuo_d6_initial_number09594[] = {1, 3, 7, 9, 1, 11, 61, 63, 435, 977, 1937, 93, 2685, 643, 20113, 25873, 63829, 0};
static int joe_kuo_d6_initial_number09595[] = {1, 1, 3, 15, 5, 41, 31, 53, 143, 271, 27, 3899, 5045, 1063, 17229, 52715, 67689, 0};
static int joe_kuo_d6_initial_number09596[] = {1, 1, 3, 11, 1, 57, 121, 13, 291, 861, 1547, 3899, 7949, 15401, 29807, 52307, 104359, 0};
static int joe_kuo_d6_initial_number09597[] = {1, 3, 5, 15, 23, 3, 95, 43, 377, 437, 1687, 3075, 5131, 11791, 3637, 12621, 105575, 0};
static int joe_kuo_d6_initial_number09598[] = {1, 3, 1, 3, 27, 1, 117, 11, 153, 401, 1971, 2097, 3227, 14603, 4757, 56281, 112263, 0};
static int joe_kuo_d6_initial_number09599[] = {1, 3, 3, 5, 13, 25, 51, 209, 367, 327, 1941, 1943, 1347, 14393, 31997, 16001, 129047, 0};
static int joe_kuo_d6_initial_number09600[] = {1, 1, 5, 11, 19, 51, 109, 229, 71, 923, 1741, 1193, 4657, 6043, 26703, 17757, 75009, 0};
static int joe_kuo_d6_initial_number09601[] = {1, 1, 7, 3, 23, 3, 125, 165, 137, 999, 1583, 3493, 859, 15603, 7143, 28791, 28201, 0};
static int joe_kuo_d6_initial_number09602[] = {1, 1, 5, 11, 29, 57, 65, 41, 295, 729, 635, 1871, 6347, 3509, 59, 40765, 42673, 0};
static int joe_kuo_d6_initial_number09603[] = {1, 3, 3, 3, 15, 59, 53, 97, 15, 131, 891, 1105, 841, 6065, 14427, 4721, 106433, 0};
static int joe_kuo_d6_initial_number09604[] = {1, 1, 1, 7, 19, 37, 101, 121, 141, 613, 1363, 691, 1731, 12477, 8339, 55669, 99379, 0};
static int joe_kuo_d6_initial_number09605[] = {1, 3, 5, 13, 17, 49, 75, 25, 447, 113, 1853, 3465, 5225, 4531, 14287, 1039, 17399, 0};
static int joe_kuo_d6_initial_number09606[] = {1, 3, 5, 3, 3, 49, 101, 79, 117, 939, 1161, 1991, 2343, 7183, 12599, 52877, 94337, 0};
static int joe_kuo_d6_initial_number09607[] = {1, 3, 1, 1, 19, 47, 73, 195, 475, 435, 1807, 2723, 7885, 15469, 26057, 37325, 57005, 0};
static int joe_kuo_d6_initial_number09608[] = {1, 1, 1, 11, 17, 7, 111, 143, 357, 977, 719, 553, 4559, 7225, 10405, 26895, 8385, 0};
static int joe_kuo_d6_initial_number09609[] = {1, 3, 3, 9, 17, 5, 1, 73, 125, 913, 1275, 2387, 5153, 13611, 20585, 8465, 27545, 0};
static int joe_kuo_d6_initial_number09610[] = {1, 1, 7, 5, 27, 51, 107, 147, 503, 699, 851, 1729, 2875, 16331, 28025, 26451, 92705, 0};
static int joe_kuo_d6_initial_number09611[] = {1, 1, 5, 9, 3, 37, 21, 139, 13, 427, 225, 1345, 2491, 15495, 25847, 3095, 128879, 0};
static int joe_kuo_d6_initial_number09612[] = {1, 1, 3, 11, 7, 47, 113, 133, 99, 871, 1151, 1953, 7931, 6389, 28715, 36861, 60017, 0};
static int joe_kuo_d6_initial_number09613[] = {1, 1, 7, 1, 21, 47, 35, 83, 137, 945, 2047, 3491, 3719, 3001, 20563, 51243, 14491, 0};
static int joe_kuo_d6_initial_number09614[] = {1, 1, 5, 15, 1, 13, 85, 61, 479, 853, 813, 805, 4931, 12651, 22757, 29531, 92861, 0};
static int joe_kuo_d6_initial_number09615[] = {1, 3, 7, 7, 27, 63, 31, 169, 43, 185, 637, 729, 7231, 2381, 23539, 53885, 90215, 0};
static int joe_kuo_d6_initial_number09616[] = {1, 1, 3, 13, 5, 51, 69, 111, 357, 277, 1889, 3809, 8031, 13341, 14261, 34001, 63317, 0};
static int joe_kuo_d6_initial_number09617[] = {1, 1, 7, 3, 11, 59, 1, 43, 227, 503, 1407, 3917, 7077, 847, 4513, 53007, 66721, 0};
static int joe_kuo_d6_initial_number09618[] = {1, 1, 5, 11, 15, 25, 109, 169, 25, 391, 597, 2997, 2377, 9045, 15239, 25291, 5451, 0};
static int joe_kuo_d6_initial_number09619[] = {1, 3, 3, 11, 15, 11, 1, 59, 347, 707, 239, 2473, 8057, 4787, 32247, 17955, 79151, 0};
static int joe_kuo_d6_initial_number09620[] = {1, 3, 7, 11, 9, 59, 9, 117, 137, 713, 451, 1105, 4485, 14979, 26271, 46017, 89211, 0};
static int joe_kuo_d6_initial_number09621[] = {1, 3, 3, 3, 3, 19, 95, 131, 413, 291, 1179, 3265, 7107, 10419, 13527, 19905, 8059, 0};
static int joe_kuo_d6_initial_number09622[] = {1, 3, 7, 9, 29, 43, 19, 243, 443, 27, 1401, 3469, 6925, 2833, 19715, 39667, 11983, 0};
static int joe_kuo_d6_initial_number09623[] = {1, 3, 3, 7, 23, 33, 115, 59, 29, 61, 1085, 1115, 4007, 12673, 26479, 22397, 95609, 0};
static int joe_kuo_d6_initial_number09624[] = {1, 3, 3, 5, 1, 47, 43, 83, 21, 621, 59, 1, 891, 12285, 31855, 48641, 52479, 0};
static int joe_kuo_d6_initial_number09625[] = {1, 3, 3, 5, 3, 9, 17, 181, 15, 315, 1705, 2461, 1853, 14007, 17665, 40593, 126179, 0};
static int joe_kuo_d6_initial_number09626[] = {1, 3, 5, 3, 3, 23, 83, 163, 29, 293, 1891, 2631, 2989, 7295, 2441, 21689, 8187, 0};
static int joe_kuo_d6_initial_number09627[] = {1, 3, 1, 1, 1, 23, 53, 215, 185, 843, 1083, 2603, 3857, 4981, 25079, 20249, 93717, 0};
static int joe_kuo_d6_initial_number09628[] = {1, 3, 5, 11, 7, 61, 127, 13, 449, 395, 1909, 3967, 2441, 3073, 8159, 33979, 26345, 0};
static int joe_kuo_d6_initial_number09629[] = {1, 1, 5, 1, 15, 5, 93, 87, 319, 173, 1729, 1395, 1019, 5139, 10819, 29877, 81025, 0};
static int joe_kuo_d6_initial_number09630[] = {1, 3, 3, 7, 17, 55, 61, 227, 299, 245, 849, 211, 895, 2999, 18215, 37069, 32821, 0};
static int joe_kuo_d6_initial_number09631[] = {1, 1, 5, 3, 17, 49, 115, 55, 447, 533, 1463, 2983, 3245, 9345, 11955, 49145, 128035, 0};
static int joe_kuo_d6_initial_number09632[] = {1, 3, 1, 7, 5, 17, 61, 71, 101, 529, 1761, 827, 7887, 5713, 31039, 18087, 82277, 0};
static int joe_kuo_d6_initial_number09633[] = {1, 3, 1, 11, 27, 59, 1, 231, 303, 431, 1279, 3647, 1333, 3675, 29401, 55533, 65997, 0};
static int joe_kuo_d6_initial_number09634[] = {1, 1, 5, 9, 7, 9, 111, 245, 269, 919, 1147, 1601, 6219, 4931, 3035, 12231, 4011, 0};
static int joe_kuo_d6_initial_number09635[] = {1, 3, 5, 15, 3, 19, 83, 25, 129, 979, 79, 3027, 3983, 7703, 16859, 12085, 83115, 0};
static int joe_kuo_d6_initial_number09636[] = {1, 1, 5, 11, 31, 41, 99, 3, 383, 943, 1579, 2435, 1209, 161, 31733, 11755, 95697, 0};
static int joe_kuo_d6_initial_number09637[] = {1, 1, 1, 9, 9, 55, 115, 187, 499, 165, 1081, 813, 2545, 8065, 10501, 15475, 85107, 0};
static int joe_kuo_d6_initial_number09638[] = {1, 1, 1, 3, 1, 31, 81, 213, 301, 575, 605, 543, 3347, 12759, 21645, 37173, 36127, 0};
static int joe_kuo_d6_initial_number09639[] = {1, 3, 3, 9, 21, 29, 51, 91, 307, 617, 1839, 443, 1013, 4473, 3885, 57669, 123271, 0};
static int joe_kuo_d6_initial_number09640[] = {1, 3, 1, 15, 31, 43, 83, 187, 51, 513, 1505, 3895, 3557, 9527, 27537, 6173, 99595, 0};
static int joe_kuo_d6_initial_number09641[] = {1, 3, 3, 1, 3, 53, 113, 27, 431, 505, 219, 2143, 6691, 3219, 9589, 9885, 24037, 0};
static int joe_kuo_d6_initial_number09642[] = {1, 1, 5, 9, 13, 3, 53, 145, 49, 411, 691, 289, 6443, 4963, 13815, 23663, 95497, 0};
static int joe_kuo_d6_initial_number09643[] = {1, 3, 5, 9, 19, 7, 53, 101, 199, 69, 1821, 3233, 3267, 5947, 4869, 30095, 21255, 0};
static int joe_kuo_d6_initial_number09644[] = {1, 1, 5, 11, 29, 7, 79, 11, 451, 585, 987, 2333, 1891, 1853, 14739, 34399, 62895, 0};
static int joe_kuo_d6_initial_number09645[] = {1, 3, 1, 7, 29, 43, 103, 219, 139, 359, 1663, 3453, 7469, 1943, 11457, 19227, 62211, 0};
static int joe_kuo_d6_initial_number09646[] = {1, 3, 3, 11, 9, 47, 17, 237, 87, 881, 583, 3473, 2579, 975, 1531, 50997, 76219, 0};
static int joe_kuo_d6_initial_number09647[] = {1, 1, 7, 15, 31, 37, 79, 115, 95, 515, 2003, 2595, 4077, 4537, 9171, 31183, 41219, 0};
static int joe_kuo_d6_initial_number09648[] = {1, 1, 1, 9, 21, 41, 93, 33, 211, 341, 233, 2217, 6657, 12913, 8329, 3881, 42563, 0};
static int joe_kuo_d6_initial_number09649[] = {1, 3, 3, 11, 25, 3, 23, 197, 49, 339, 877, 1117, 7817, 14143, 1575, 50301, 92367, 0};
static int joe_kuo_d6_initial_number09650[] = {1, 3, 5, 5, 19, 45, 69, 179, 447, 861, 1633, 1941, 5821, 1843, 4085, 23501, 109047, 0};
static int joe_kuo_d6_initial_number09651[] = {1, 3, 1, 3, 31, 29, 49, 183, 311, 133, 345, 1541, 111, 5571, 1943, 11039, 127673, 0};
static int joe_kuo_d6_initial_number09652[] = {1, 3, 1, 5, 3, 13, 63, 5, 59, 789, 71, 3271, 3871, 9105, 22525, 31, 117803, 0};
static int joe_kuo_d6_initial_number09653[] = {1, 3, 1, 13, 31, 43, 97, 133, 313, 729, 287, 2971, 5623, 13183, 15179, 47271, 28853, 0};
static int joe_kuo_d6_initial_number09654[] = {1, 1, 3, 13, 27, 15, 35, 37, 507, 139, 1933, 2847, 361, 10261, 21031, 3889, 56875, 0};
static int joe_kuo_d6_initial_number09655[] = {1, 3, 1, 15, 31, 13, 45, 73, 279, 331, 471, 3881, 3295, 12035, 28329, 899, 47397, 0};
static int joe_kuo_d6_initial_number09656[] = {1, 1, 3, 13, 1, 7, 81, 255, 315, 595, 43, 3919, 5229, 7953, 25711, 19509, 107181, 0};
static int joe_kuo_d6_initial_number09657[] = {1, 1, 3, 15, 7, 33, 117, 169, 71, 577, 629, 3665, 7761, 13529, 26375, 17181, 22125, 0};
static int joe_kuo_d6_initial_number09658[] = {1, 3, 5, 7, 5, 7, 1, 93, 489, 289, 329, 2273, 685, 14835, 11433, 26041, 112735, 0};
static int joe_kuo_d6_initial_number09659[] = {1, 3, 3, 3, 9, 39, 45, 23, 171, 35, 571, 551, 7815, 6169, 24283, 61477, 71877, 0};
static int joe_kuo_d6_initial_number09660[] = {1, 1, 5, 7, 23, 15, 81, 215, 297, 269, 655, 2059, 3643, 12741, 11955, 41085, 46047, 0};
static int joe_kuo_d6_initial_number09661[] = {1, 1, 7, 5, 3, 35, 125, 141, 419, 137, 1031, 2053, 7925, 7267, 6267, 34323, 77495, 0};
static int joe_kuo_d6_initial_number09662[] = {1, 1, 7, 11, 3, 57, 91, 43, 139, 691, 1569, 1825, 7855, 1093, 19263, 31601, 16019, 0};
static int joe_kuo_d6_initial_number09663[] = {1, 3, 1, 5, 21, 7, 11, 225, 105, 757, 1493, 455, 4757, 12007, 5139, 3545, 79717, 0};
static int joe_kuo_d6_initial_number09664[] = {1, 3, 1, 13, 17, 29, 125, 249, 475, 79, 1271, 341, 863, 853, 2105, 32897, 121261, 0};
static int joe_kuo_d6_initial_number09665[] = {1, 3, 1, 11, 17, 59, 3, 29, 61, 399, 1465, 4029, 2103, 12481, 28495, 34363, 63781, 0};
static int joe_kuo_d6_initial_number09666[] = {1, 3, 3, 15, 29, 13, 101, 191, 435, 215, 1355, 2263, 6059, 4545, 7535, 15041, 84091, 0};
static int joe_kuo_d6_initial_number09667[] = {1, 1, 3, 9, 29, 23, 99, 55, 91, 145, 235, 2847, 725, 209, 24565, 16545, 103669, 0};
static int joe_kuo_d6_initial_number09668[] = {1, 1, 1, 1, 31, 15, 93, 197, 207, 357, 667, 3511, 3865, 5329, 6491, 9027, 125979, 0};
static int joe_kuo_d6_initial_number09669[] = {1, 3, 3, 13, 17, 35, 99, 187, 153, 589, 1633, 4053, 1023, 9541, 9841, 39585, 24885, 0};
static int joe_kuo_d6_initial_number09670[] = {1, 3, 7, 11, 23, 5, 71, 89, 455, 665, 1221, 1821, 591, 11459, 503, 56777, 65691, 0};
static int joe_kuo_d6_initial_number09671[] = {1, 3, 1, 1, 9, 33, 51, 203, 223, 709, 1263, 3535, 7753, 8279, 8673, 60259, 2671, 0};
static int joe_kuo_d6_initial_number09672[] = {1, 1, 7, 9, 17, 63, 5, 229, 495, 435, 1711, 3359, 399, 15901, 28519, 56627, 8079, 0};
static int joe_kuo_d6_initial_number09673[] = {1, 3, 5, 11, 9, 25, 49, 143, 275, 989, 461, 447, 1917, 9253, 28421, 1803, 119725, 0};
static int joe_kuo_d6_initial_number09674[] = {1, 3, 3, 7, 25, 3, 39, 171, 303, 905, 1353, 2561, 7347, 7339, 15271, 61945, 26343, 0};
static int joe_kuo_d6_initial_number09675[] = {1, 1, 1, 3, 5, 63, 9, 229, 107, 815, 1705, 3621, 2345, 3065, 16315, 17017, 33667, 0};
static int joe_kuo_d6_initial_number09676[] = {1, 3, 5, 13, 29, 13, 91, 111, 475, 561, 443, 3825, 5331, 11211, 27639, 28305, 101831, 0};
static int joe_kuo_d6_initial_number09677[] = {1, 3, 1, 9, 15, 33, 17, 47, 249, 89, 429, 3819, 1959, 14317, 10737, 28151, 40395, 0};
static int joe_kuo_d6_initial_number09678[] = {1, 3, 7, 13, 19, 29, 83, 81, 511, 783, 823, 2865, 5823, 9459, 27413, 63297, 44181, 0};
static int joe_kuo_d6_initial_number09679[] = {1, 3, 1, 1, 19, 53, 45, 227, 193, 631, 289, 1227, 6241, 6915, 16051, 31237, 50201, 0};
static int joe_kuo_d6_initial_number09680[] = {1, 3, 7, 7, 15, 49, 77, 147, 421, 515, 927, 1561, 4391, 12943, 6807, 36889, 70249, 0};
static int joe_kuo_d6_initial_number09681[] = {1, 3, 7, 7, 17, 15, 63, 123, 101, 283, 59, 977, 5185, 16161, 5007, 36255, 11537, 0};
static int joe_kuo_d6_initial_number09682[] = {1, 1, 7, 1, 13, 17, 79, 35, 193, 947, 767, 1365, 2145, 13267, 30561, 51949, 37591, 0};
static int joe_kuo_d6_initial_number09683[] = {1, 1, 1, 13, 11, 13, 91, 129, 355, 549, 295, 673, 209, 15953, 14703, 30857, 47967, 0};
static int joe_kuo_d6_initial_number09684[] = {1, 3, 5, 9, 17, 17, 83, 161, 189, 585, 21, 1019, 4879, 15943, 17281, 46013, 94839, 0};
static int joe_kuo_d6_initial_number09685[] = {1, 3, 5, 9, 23, 39, 65, 25, 181, 3, 2005, 635, 201, 9391, 8755, 38535, 88697, 0};
static int joe_kuo_d6_initial_number09686[] = {1, 3, 1, 15, 13, 35, 47, 125, 429, 901, 895, 3495, 327, 397, 7847, 62157, 3489, 0};
static int joe_kuo_d6_initial_number09687[] = {1, 3, 5, 3, 19, 21, 81, 39, 85, 169, 1981, 3323, 113, 2057, 16617, 58051, 55059, 0};
static int joe_kuo_d6_initial_number09688[] = {1, 3, 1, 13, 9, 1, 101, 81, 129, 717, 1495, 4077, 5555, 93, 12957, 14805, 110219, 0};
static int joe_kuo_d6_initial_number09689[] = {1, 3, 5, 5, 5, 47, 107, 111, 387, 987, 2009, 179, 1111, 3443, 25579, 12293, 123035, 0};
static int joe_kuo_d6_initial_number09690[] = {1, 1, 7, 13, 21, 25, 33, 211, 9, 783, 1785, 2691, 6835, 2867, 22469, 17853, 90685, 0};
static int joe_kuo_d6_initial_number09691[] = {1, 1, 3, 3, 19, 57, 59, 203, 197, 347, 553, 1361, 7593, 91, 15303, 30045, 86605, 0};
static int joe_kuo_d6_initial_number09692[] = {1, 3, 5, 7, 29, 23, 1, 235, 159, 277, 1227, 1727, 1853, 9717, 2377, 13597, 18119, 0};
static int joe_kuo_d6_initial_number09693[] = {1, 1, 1, 11, 15, 29, 5, 15, 349, 685, 197, 3127, 1075, 8847, 27873, 539, 57149, 0};
static int joe_kuo_d6_initial_number09694[] = {1, 1, 7, 9, 23, 25, 121, 239, 219, 747, 1981, 2683, 5319, 75, 22569, 29697, 27627, 0};
static int joe_kuo_d6_initial_number09695[] = {1, 3, 7, 5, 31, 43, 95, 131, 423, 547, 1437, 127, 1953, 861, 839, 54503, 20465, 0};
static int joe_kuo_d6_initial_number09696[] = {1, 1, 5, 3, 29, 29, 71, 237, 275, 493, 513, 4067, 393, 9415, 20511, 29257, 86267, 0};
static int joe_kuo_d6_initial_number09697[] = {1, 1, 1, 1, 25, 11, 59, 185, 211, 175, 37, 2999, 4919, 10225, 16727, 60447, 59985, 0};
static int joe_kuo_d6_initial_number09698[] = {1, 1, 3, 3, 1, 9, 69, 195, 197, 677, 229, 599, 5613, 4537, 5495, 58801, 14297, 0};
static int joe_kuo_d6_initial_number09699[] = {1, 3, 1, 15, 17, 23, 5, 101, 331, 943, 1433, 2199, 313, 469, 3651, 3281, 100119, 0};
static int joe_kuo_d6_initial_number09700[] = {1, 1, 5, 15, 13, 25, 87, 45, 229, 821, 59, 761, 6259, 15159, 3197, 39763, 87301, 0};
static int joe_kuo_d6_initial_number09701[] = {1, 3, 5, 7, 19, 21, 89, 15, 19, 623, 603, 4069, 3531, 13353, 21267, 6355, 53821, 0};
static int joe_kuo_d6_initial_number09702[] = {1, 1, 5, 9, 13, 13, 111, 77, 439, 599, 1577, 959, 4567, 3117, 7127, 49265, 35667, 0};
static int joe_kuo_d6_initial_number09703[] = {1, 3, 7, 9, 27, 61, 1, 19, 43, 475, 221, 655, 4351, 15827, 30489, 22245, 41077, 0};
static int joe_kuo_d6_initial_number09704[] = {1, 1, 3, 13, 17, 17, 111, 85, 253, 11, 367, 2349, 4103, 12517, 27037, 42481, 84451, 0};
static int joe_kuo_d6_initial_number09705[] = {1, 3, 5, 7, 7, 25, 53, 27, 429, 503, 893, 2923, 2539, 15849, 30157, 12111, 108893, 0};
static int joe_kuo_d6_initial_number09706[] = {1, 1, 7, 9, 13, 29, 51, 113, 273, 745, 759, 263, 3031, 705, 23203, 64245, 127183, 0};
static int joe_kuo_d6_initial_number09707[] = {1, 1, 1, 9, 29, 5, 25, 165, 261, 319, 645, 2199, 3135, 10263, 10711, 18713, 63337, 0};
static int joe_kuo_d6_initial_number09708[] = {1, 1, 5, 1, 23, 41, 43, 71, 365, 683, 1107, 1671, 7079, 8933, 12815, 8095, 97955, 0};
static int joe_kuo_d6_initial_number09709[] = {1, 3, 1, 15, 9, 43, 105, 217, 131, 299, 1459, 1087, 3493, 15297, 11741, 43383, 35021, 0};
static int joe_kuo_d6_initial_number09710[] = {1, 3, 1, 3, 3, 57, 69, 7, 73, 977, 1163, 3591, 243, 13129, 23247, 20609, 22489, 0};
static int joe_kuo_d6_initial_number09711[] = {1, 3, 7, 5, 1, 57, 65, 27, 121, 575, 903, 3527, 5601, 5597, 1941, 60079, 88121, 0};
static int joe_kuo_d6_initial_number09712[] = {1, 3, 1, 3, 15, 3, 23, 87, 233, 389, 1671, 1557, 4825, 1017, 17697, 26735, 53421, 0};
static int joe_kuo_d6_initial_number09713[] = {1, 3, 5, 3, 5, 43, 61, 249, 273, 251, 1383, 2415, 1061, 12363, 3071, 23785, 127909, 0};
static int joe_kuo_d6_initial_number09714[] = {1, 3, 3, 13, 5, 63, 15, 165, 353, 603, 1627, 2037, 487, 11603, 719, 54693, 52645, 0};
static int joe_kuo_d6_initial_number09715[] = {1, 3, 5, 11, 31, 41, 41, 83, 481, 251, 1903, 2655, 5237, 6073, 20201, 14069, 91649, 0};
static int joe_kuo_d6_initial_number09716[] = {1, 3, 1, 15, 21, 41, 99, 61, 55, 63, 1595, 1805, 7625, 12261, 23275, 43471, 5147, 0};
static int joe_kuo_d6_initial_number09717[] = {1, 3, 1, 5, 23, 21, 71, 169, 197, 51, 1653, 3053, 4663, 293, 12751, 15641, 83993, 0};
static int joe_kuo_d6_initial_number09718[] = {1, 3, 5, 15, 29, 45, 55, 199, 275, 103, 1093, 3569, 5997, 9445, 2291, 30973, 68589, 0};
static int joe_kuo_d6_initial_number09719[] = {1, 3, 5, 7, 15, 3, 15, 3, 287, 961, 1759, 1153, 7613, 9885, 8981, 5109, 112865, 0};
static int joe_kuo_d6_initial_number09720[] = {1, 1, 1, 9, 1, 37, 111, 61, 309, 581, 875, 2121, 1035, 4345, 1351, 59743, 34955, 0};
static int joe_kuo_d6_initial_number09721[] = {1, 3, 7, 7, 11, 23, 51, 235, 23, 697, 991, 1995, 3615, 6665, 15885, 18555, 11711, 0};
static int joe_kuo_d6_initial_number09722[] = {1, 3, 7, 13, 3, 59, 87, 129, 405, 689, 1189, 2071, 877, 12347, 18381, 28367, 27247, 0};
static int joe_kuo_d6_initial_number09723[] = {1, 1, 1, 9, 23, 29, 113, 71, 479, 421, 215, 1029, 6125, 13575, 10823, 45303, 3153, 0};
static int joe_kuo_d6_initial_number09724[] = {1, 1, 3, 11, 13, 5, 31, 29, 279, 597, 791, 319, 1391, 14487, 3811, 36913, 11513, 0};
static int joe_kuo_d6_initial_number09725[] = {1, 3, 7, 11, 9, 11, 55, 167, 69, 519, 1887, 145, 6133, 1307, 14465, 17419, 18319, 0};
static int joe_kuo_d6_initial_number09726[] = {1, 1, 3, 1, 29, 25, 57, 75, 19, 187, 1591, 421, 959, 7499, 8377, 42811, 53423, 0};
static int joe_kuo_d6_initial_number09727[] = {1, 3, 1, 3, 7, 9, 73, 217, 383, 755, 1561, 3923, 3891, 16129, 13195, 62097, 67493, 0};
static int joe_kuo_d6_initial_number09728[] = {1, 3, 7, 9, 5, 7, 47, 29, 319, 243, 405, 2867, 5803, 2273, 4913, 54777, 88301, 0};
static int joe_kuo_d6_initial_number09729[] = {1, 3, 7, 1, 25, 11, 51, 183, 387, 863, 39, 2119, 2395, 10175, 20833, 3235, 108197, 0};
static int joe_kuo_d6_initial_number09730[] = {1, 1, 7, 13, 25, 43, 21, 67, 103, 709, 603, 1045, 7079, 8867, 29039, 61499, 39533, 0};
static int joe_kuo_d6_initial_number09731[] = {1, 1, 7, 5, 7, 55, 77, 115, 409, 287, 1149, 1535, 7459, 5525, 27129, 43659, 86953, 0};
static int joe_kuo_d6_initial_number09732[] = {1, 3, 5, 3, 21, 41, 47, 147, 267, 473, 1501, 2663, 5381, 41, 18265, 53845, 16039, 0};
static int joe_kuo_d6_initial_number09733[] = {1, 1, 7, 15, 27, 63, 95, 103, 169, 1, 133, 3103, 7539, 5765, 11453, 4133, 95133, 0};
static int joe_kuo_d6_initial_number09734[] = {1, 3, 3, 15, 3, 53, 121, 135, 385, 475, 889, 2557, 4937, 11129, 18461, 16757, 30339, 0};
static int joe_kuo_d6_initial_number09735[] = {1, 3, 1, 13, 11, 39, 111, 13, 475, 201, 1973, 2151, 6973, 4083, 12593, 44093, 108037, 0};
static int joe_kuo_d6_initial_number09736[] = {1, 3, 7, 9, 31, 31, 97, 235, 179, 689, 403, 1995, 7697, 7511, 29333, 11005, 50723, 0};
static int joe_kuo_d6_initial_number09737[] = {1, 1, 7, 13, 23, 5, 7, 171, 441, 921, 1455, 3865, 7089, 5469, 10423, 53013, 80559, 0};
static int joe_kuo_d6_initial_number09738[] = {1, 3, 5, 3, 25, 43, 105, 157, 507, 143, 297, 1111, 2761, 14103, 4965, 36733, 11741, 0};
static int joe_kuo_d6_initial_number09739[] = {1, 3, 7, 9, 29, 61, 49, 239, 271, 697, 211, 1633, 2991, 14933, 12347, 44291, 12219, 0};
static int joe_kuo_d6_initial_number09740[] = {1, 1, 7, 7, 17, 61, 29, 43, 87, 633, 937, 1931, 3541, 12259, 23045, 5923, 48479, 0};
static int joe_kuo_d6_initial_number09741[] = {1, 3, 3, 3, 15, 25, 105, 17, 159, 863, 1377, 331, 1475, 10573, 28947, 8141, 26671, 0};
static int joe_kuo_d6_initial_number09742[] = {1, 1, 7, 7, 31, 59, 81, 23, 467, 241, 1257, 1337, 7731, 9071, 3417, 51191, 78369, 0};
static int joe_kuo_d6_initial_number09743[] = {1, 1, 5, 9, 11, 45, 49, 227, 319, 63, 1339, 885, 4571, 11649, 5607, 10509, 55055, 0};
static int joe_kuo_d6_initial_number09744[] = {1, 3, 3, 9, 29, 17, 7, 235, 191, 927, 575, 1115, 4111, 14179, 2041, 13331, 29825, 0};
static int joe_kuo_d6_initial_number09745[] = {1, 1, 5, 9, 27, 61, 71, 201, 341, 577, 221, 1371, 1135, 4347, 24211, 36171, 23435, 0};
static int joe_kuo_d6_initial_number09746[] = {1, 3, 3, 1, 1, 29, 75, 121, 193, 647, 1429, 275, 5243, 783, 28533, 13941, 68035, 0};
static int joe_kuo_d6_initial_number09747[] = {1, 3, 5, 15, 21, 27, 117, 183, 251, 991, 935, 3119, 5133, 2765, 7423, 28867, 120565, 0};
static int joe_kuo_d6_initial_number09748[] = {1, 3, 5, 5, 13, 23, 29, 101, 299, 699, 1249, 1225, 1335, 6079, 17825, 60467, 87787, 0};
static int joe_kuo_d6_initial_number09749[] = {1, 1, 1, 9, 15, 19, 11, 163, 433, 553, 1487, 813, 3293, 1195, 895, 28431, 62905, 0};
static int joe_kuo_d6_initial_number09750[] = {1, 1, 1, 13, 25, 37, 111, 129, 391, 813, 1061, 4065, 7339, 10731, 23799, 41463, 99673, 0};
static int joe_kuo_d6_initial_number09751[] = {1, 1, 7, 15, 3, 21, 45, 77, 471, 155, 967, 711, 4947, 13983, 27827, 28653, 117839, 0};
static int joe_kuo_d6_initial_number09752[] = {1, 1, 5, 9, 13, 39, 107, 237, 233, 881, 297, 2189, 8085, 1221, 18659, 299, 90951, 0};
static int joe_kuo_d6_initial_number09753[] = {1, 1, 1, 13, 21, 53, 83, 17, 487, 215, 1203, 3017, 7887, 3759, 10521, 31223, 87917, 0};
static int joe_kuo_d6_initial_number09754[] = {1, 1, 7, 1, 13, 31, 123, 219, 127, 743, 1325, 3907, 129, 8901, 4855, 22509, 47331, 0};
static int joe_kuo_d6_initial_number09755[] = {1, 1, 7, 11, 29, 37, 11, 157, 401, 35, 2037, 2873, 7409, 7837, 1247, 33911, 3979, 0};
static int joe_kuo_d6_initial_number09756[] = {1, 1, 5, 15, 1, 13, 35, 253, 287, 1007, 1417, 1613, 6019, 11617, 6323, 56263, 45073, 0};
static int joe_kuo_d6_initial_number09757[] = {1, 3, 1, 15, 1, 59, 41, 239, 373, 443, 897, 275, 5783, 8619, 18559, 16279, 92063, 0};
static int joe_kuo_d6_initial_number09758[] = {1, 3, 1, 9, 23, 33, 83, 43, 231, 819, 1657, 1031, 5507, 12621, 8961, 23059, 63453, 0};
static int joe_kuo_d6_initial_number09759[] = {1, 1, 7, 5, 29, 49, 21, 251, 267, 43, 729, 4013, 1497, 15489, 16761, 49689, 122755, 0};
static int joe_kuo_d6_initial_number09760[] = {1, 3, 7, 1, 31, 21, 11, 149, 127, 711, 1249, 49, 5503, 677, 12313, 61301, 16279, 0};
static int joe_kuo_d6_initial_number09761[] = {1, 1, 5, 11, 9, 15, 41, 61, 81, 991, 1387, 3567, 221, 15835, 8609, 28265, 98199, 0};
static int joe_kuo_d6_initial_number09762[] = {1, 3, 1, 7, 21, 35, 13, 59, 173, 637, 107, 393, 4551, 6523, 27389, 33129, 45579, 0};
static int joe_kuo_d6_initial_number09763[] = {1, 1, 1, 9, 29, 51, 65, 199, 417, 553, 1321, 2513, 4749, 8477, 19721, 24301, 16301, 0};
static int joe_kuo_d6_initial_number09764[] = {1, 3, 5, 1, 25, 13, 7, 55, 163, 581, 1677, 2313, 6843, 15697, 3055, 53171, 59899, 0};
static int joe_kuo_d6_initial_number09765[] = {1, 3, 1, 5, 31, 13, 101, 195, 235, 359, 911, 1017, 2575, 12801, 997, 7819, 73243, 0};
static int joe_kuo_d6_initial_number09766[] = {1, 1, 7, 1, 9, 39, 59, 83, 57, 885, 317, 2689, 5741, 11833, 25563, 62581, 62239, 0};
static int joe_kuo_d6_initial_number09767[] = {1, 1, 5, 15, 25, 25, 55, 207, 223, 907, 913, 387, 5599, 15567, 8859, 13703, 66071, 0};
static int joe_kuo_d6_initial_number09768[] = {1, 1, 5, 15, 19, 39, 83, 177, 333, 531, 1257, 2687, 7793, 15967, 19175, 1381, 106629, 0};
static int joe_kuo_d6_initial_number09769[] = {1, 3, 5, 13, 29, 29, 77, 1, 273, 483, 725, 3825, 5115, 4043, 11571, 8693, 49761, 0};
static int joe_kuo_d6_initial_number09770[] = {1, 1, 7, 3, 5, 45, 37, 65, 267, 191, 301, 2863, 167, 9303, 14563, 41553, 119561, 0};
static int joe_kuo_d6_initial_number09771[] = {1, 1, 7, 5, 21, 41, 107, 213, 267, 427, 699, 1485, 2125, 16011, 29243, 4691, 50545, 0};
static int joe_kuo_d6_initial_number09772[] = {1, 3, 3, 9, 15, 29, 81, 53, 289, 689, 933, 2667, 5175, 10409, 28221, 56375, 49109, 0};
static int joe_kuo_d6_initial_number09773[] = {1, 1, 1, 15, 3, 11, 77, 107, 353, 349, 219, 1961, 7559, 10081, 25119, 46041, 103827, 0};
static int joe_kuo_d6_initial_number09774[] = {1, 3, 3, 1, 5, 27, 109, 17, 271, 543, 565, 397, 2649, 12037, 4525, 37835, 107071, 0};
static int joe_kuo_d6_initial_number09775[] = {1, 1, 5, 15, 3, 37, 123, 157, 389, 619, 1379, 4093, 6107, 4419, 21011, 36189, 21269, 0};
static int joe_kuo_d6_initial_number09776[] = {1, 3, 1, 7, 25, 17, 37, 133, 247, 113, 985, 815, 441, 7869, 25121, 49459, 429, 0};
static int joe_kuo_d6_initial_number09777[] = {1, 3, 3, 11, 7, 23, 59, 51, 403, 685, 2019, 1167, 7973, 6915, 10819, 43807, 127793, 0};
static int joe_kuo_d6_initial_number09778[] = {1, 1, 3, 1, 29, 3, 125, 107, 305, 101, 391, 2733, 6883, 5867, 5139, 16025, 112439, 0};
static int joe_kuo_d6_initial_number09779[] = {1, 1, 5, 5, 23, 23, 89, 33, 275, 451, 1033, 649, 3761, 4735, 26021, 9627, 102747, 0};
static int joe_kuo_d6_initial_number09780[] = {1, 1, 5, 13, 3, 17, 117, 251, 425, 917, 759, 3047, 8171, 14421, 27765, 11085, 64889, 0};
static int joe_kuo_d6_initial_number09781[] = {1, 3, 1, 9, 7, 23, 107, 143, 123, 413, 2045, 655, 6283, 8783, 20263, 55463, 33271, 0};
static int joe_kuo_d6_initial_number09782[] = {1, 3, 7, 11, 5, 49, 73, 55, 465, 43, 587, 3943, 521, 12357, 16273, 26603, 23219, 0};
static int joe_kuo_d6_initial_number09783[] = {1, 3, 5, 13, 9, 3, 127, 171, 271, 227, 993, 1427, 2235, 6325, 13501, 1411, 44393, 0};
static int joe_kuo_d6_initial_number09784[] = {1, 1, 1, 3, 13, 27, 19, 37, 175, 423, 5, 3403, 5427, 16345, 30297, 11909, 104647, 0};
static int joe_kuo_d6_initial_number09785[] = {1, 3, 1, 3, 3, 39, 111, 179, 487, 923, 1945, 1609, 4689, 11807, 13725, 3081, 48163, 0};
static int joe_kuo_d6_initial_number09786[] = {1, 3, 1, 1, 9, 35, 7, 151, 109, 925, 1249, 3171, 1207, 2053, 5135, 34821, 57291, 0};
static int joe_kuo_d6_initial_number09787[] = {1, 1, 5, 13, 31, 35, 101, 199, 499, 725, 1229, 2857, 6437, 503, 14437, 35721, 24971, 0};
static int joe_kuo_d6_initial_number09788[] = {1, 1, 1, 15, 3, 49, 75, 101, 373, 119, 875, 245, 15, 12937, 4731, 13037, 1555, 0};
static int joe_kuo_d6_initial_number09789[] = {1, 1, 1, 7, 15, 5, 53, 5, 423, 69, 73, 2139, 383, 4035, 6723, 59941, 124503, 0};
static int joe_kuo_d6_initial_number09790[] = {1, 1, 3, 13, 1, 23, 29, 47, 145, 785, 1013, 1579, 4579, 107, 17571, 46311, 27777, 0};
static int joe_kuo_d6_initial_number09791[] = {1, 1, 1, 5, 23, 25, 97, 75, 105, 183, 827, 3871, 2005, 6453, 28729, 42583, 62979, 0};
static int joe_kuo_d6_initial_number09792[] = {1, 3, 5, 9, 11, 49, 29, 201, 333, 441, 429, 1955, 5301, 11775, 22915, 58693, 111917, 0};
static int joe_kuo_d6_initial_number09793[] = {1, 3, 3, 1, 15, 37, 117, 223, 319, 181, 61, 177, 507, 14871, 16419, 34261, 106937, 0};
static int joe_kuo_d6_initial_number09794[] = {1, 3, 3, 9, 25, 27, 81, 253, 459, 5, 693, 1271, 485, 16171, 427, 17917, 4393, 0};
static int joe_kuo_d6_initial_number09795[] = {1, 3, 3, 1, 27, 47, 11, 57, 269, 95, 569, 2733, 3275, 1599, 15073, 58071, 86805, 0};
static int joe_kuo_d6_initial_number09796[] = {1, 3, 7, 13, 21, 57, 75, 63, 53, 487, 251, 3193, 4279, 2311, 6613, 38319, 93557, 0};
static int joe_kuo_d6_initial_number09797[] = {1, 3, 5, 5, 31, 35, 39, 255, 11, 81, 605, 1457, 6367, 14121, 8069, 46653, 79945, 0};
static int joe_kuo_d6_initial_number09798[] = {1, 1, 1, 7, 17, 19, 19, 247, 13, 757, 1069, 2811, 4969, 10943, 29399, 4153, 120817, 0};
static int joe_kuo_d6_initial_number09799[] = {1, 1, 1, 15, 31, 13, 1, 247, 157, 785, 1565, 897, 4825, 8375, 4933, 60671, 88403, 0};
static int joe_kuo_d6_initial_number09800[] = {1, 3, 3, 7, 31, 53, 117, 207, 243, 603, 625, 1039, 5725, 5021, 20227, 28613, 123759, 0};
static int joe_kuo_d6_initial_number09801[] = {1, 1, 5, 1, 7, 29, 65, 153, 393, 821, 295, 2705, 5999, 15801, 31301, 15545, 52917, 0};
static int joe_kuo_d6_initial_number09802[] = {1, 1, 1, 1, 11, 51, 97, 143, 27, 279, 1005, 1235, 5539, 1523, 26293, 35015, 47835, 0};
static int joe_kuo_d6_initial_number09803[] = {1, 3, 3, 13, 27, 17, 123, 147, 39, 35, 567, 961, 5431, 5557, 17849, 46675, 102181, 0};
static int joe_kuo_d6_initial_number09804[] = {1, 1, 7, 11, 7, 25, 73, 223, 459, 207, 1637, 647, 2057, 685, 24539, 48809, 26877, 0};
static int joe_kuo_d6_initial_number09805[] = {1, 3, 1, 3, 21, 43, 121, 11, 431, 383, 1703, 1451, 2349, 11845, 13801, 20589, 43125, 0};
static int joe_kuo_d6_initial_number09806[] = {1, 1, 5, 1, 27, 29, 89, 233, 437, 303, 853, 3425, 263, 2073, 14111, 39129, 59547, 0};
static int joe_kuo_d6_initial_number09807[] = {1, 1, 1, 3, 3, 47, 99, 207, 261, 179, 1761, 2657, 4339, 6567, 25455, 18729, 51431, 0};
static int joe_kuo_d6_initial_number09808[] = {1, 3, 3, 13, 5, 5, 109, 125, 123, 233, 1713, 1539, 4375, 12187, 18355, 49597, 109959, 0};
static int joe_kuo_d6_initial_number09809[] = {1, 3, 7, 7, 9, 23, 45, 193, 363, 837, 855, 1413, 7587, 9091, 27907, 17809, 63249, 0};
static int joe_kuo_d6_initial_number09810[] = {1, 3, 3, 9, 19, 23, 63, 85, 419, 1007, 1753, 539, 1471, 2171, 9239, 36289, 105503, 0};
static int joe_kuo_d6_initial_number09811[] = {1, 3, 1, 11, 23, 5, 105, 79, 473, 879, 1623, 3155, 5157, 4699, 697, 41919, 15441, 0};
static int joe_kuo_d6_initial_number09812[] = {1, 1, 7, 11, 5, 21, 43, 207, 491, 355, 857, 2325, 819, 15849, 24529, 5789, 110661, 0};
static int joe_kuo_d6_initial_number09813[] = {1, 1, 5, 15, 19, 33, 81, 137, 473, 853, 1681, 3841, 5617, 13715, 1987, 52983, 66327, 0};
static int joe_kuo_d6_initial_number09814[] = {1, 3, 5, 7, 11, 31, 69, 85, 33, 197, 1771, 1957, 1311, 169, 14159, 7327, 8577, 0};
static int joe_kuo_d6_initial_number09815[] = {1, 1, 3, 9, 11, 23, 19, 143, 9, 579, 111, 2973, 3567, 8561, 10447, 55875, 64305, 0};
static int joe_kuo_d6_initial_number09816[] = {1, 1, 5, 7, 1, 17, 93, 11, 423, 1007, 839, 719, 3965, 14531, 17301, 29577, 4083, 0};
static int joe_kuo_d6_initial_number09817[] = {1, 3, 5, 13, 19, 17, 123, 61, 59, 115, 1165, 579, 2545, 633, 5597, 21865, 109167, 0};
static int joe_kuo_d6_initial_number09818[] = {1, 1, 5, 3, 29, 29, 99, 163, 321, 367, 1523, 3719, 665, 15843, 28831, 63823, 113533, 0};
static int joe_kuo_d6_initial_number09819[] = {1, 1, 1, 3, 15, 7, 85, 1, 181, 759, 537, 3315, 7159, 4363, 4183, 53775, 8801, 0};
static int joe_kuo_d6_initial_number09820[] = {1, 3, 1, 1, 15, 53, 9, 35, 459, 417, 1169, 2055, 1175, 10923, 335, 24269, 93001, 0};
static int joe_kuo_d6_initial_number09821[] = {1, 3, 1, 5, 31, 43, 51, 149, 175, 541, 629, 1147, 7585, 9725, 18623, 13345, 65391, 0};
static int joe_kuo_d6_initial_number09822[] = {1, 3, 7, 1, 13, 39, 13, 217, 507, 765, 721, 1491, 5037, 6267, 2871, 19181, 123751, 0};
static int joe_kuo_d6_initial_number09823[] = {1, 1, 3, 5, 21, 9, 123, 195, 63, 347, 7, 531, 3015, 9457, 29543, 51479, 26607, 0};
static int joe_kuo_d6_initial_number09824[] = {1, 1, 1, 1, 21, 15, 81, 127, 429, 15, 901, 1503, 1919, 6515, 2477, 53571, 113447, 0};
static int joe_kuo_d6_initial_number09825[] = {1, 3, 1, 13, 9, 33, 79, 169, 499, 767, 441, 2085, 2429, 10213, 4125, 2611, 26137, 0};
static int joe_kuo_d6_initial_number09826[] = {1, 1, 3, 1, 19, 23, 83, 179, 447, 513, 913, 1201, 1861, 11595, 29037, 7775, 116417, 0};
static int joe_kuo_d6_initial_number09827[] = {1, 3, 3, 7, 3, 57, 47, 183, 413, 319, 1375, 1401, 2231, 14331, 28625, 43839, 102717, 0};
static int joe_kuo_d6_initial_number09828[] = {1, 1, 5, 11, 31, 27, 111, 85, 191, 155, 2025, 1501, 4991, 4655, 3451, 10219, 60391, 0};
static int joe_kuo_d6_initial_number09829[] = {1, 3, 3, 7, 17, 19, 113, 37, 423, 479, 709, 3659, 6567, 1709, 13483, 61821, 77101, 0};
static int joe_kuo_d6_initial_number09830[] = {1, 3, 1, 13, 3, 17, 73, 61, 275, 359, 1341, 449, 1373, 12047, 11207, 52651, 83305, 0};
static int joe_kuo_d6_initial_number09831[] = {1, 1, 7, 9, 9, 45, 15, 121, 15, 51, 509, 2189, 5057, 6119, 11669, 14559, 108323, 0};
static int joe_kuo_d6_initial_number09832[] = {1, 1, 7, 7, 25, 13, 13, 141, 157, 249, 823, 821, 1909, 5925, 3505, 13187, 19237, 0};
static int joe_kuo_d6_initial_number09833[] = {1, 3, 3, 1, 9, 51, 79, 91, 5, 709, 787, 2427, 4613, 7307, 20141, 1675, 49779, 0};
static int joe_kuo_d6_initial_number09834[] = {1, 1, 1, 11, 11, 13, 33, 81, 413, 981, 907, 2709, 4113, 10607, 2587, 12845, 11103, 0};
static int joe_kuo_d6_initial_number09835[] = {1, 1, 7, 9, 13, 25, 37, 81, 375, 1013, 2027, 321, 3947, 2269, 10687, 7537, 67495, 0};
static int joe_kuo_d6_initial_number09836[] = {1, 3, 5, 11, 9, 43, 53, 111, 339, 841, 503, 3209, 6437, 10893, 13627, 51809, 57229, 0};
static int joe_kuo_d6_initial_number09837[] = {1, 3, 1, 1, 21, 15, 71, 93, 453, 405, 1099, 2979, 7471, 10173, 17875, 13179, 48615, 0};
static int joe_kuo_d6_initial_number09838[] = {1, 3, 5, 9, 9, 1, 121, 117, 275, 157, 57, 3459, 4787, 15005, 24591, 23963, 45077, 0};
static int joe_kuo_d6_initial_number09839[] = {1, 1, 5, 3, 21, 57, 113, 207, 169, 603, 637, 1455, 6281, 6527, 17219, 32307, 18617, 0};
static int joe_kuo_d6_initial_number09840[] = {1, 3, 7, 5, 25, 15, 99, 91, 253, 267, 537, 713, 3929, 895, 7999, 47989, 118731, 0};
static int joe_kuo_d6_initial_number09841[] = {1, 3, 7, 15, 23, 17, 5, 129, 121, 251, 219, 2547, 7291, 1079, 14577, 56229, 35253, 0};
static int joe_kuo_d6_initial_number09842[] = {1, 3, 1, 15, 5, 61, 35, 135, 497, 681, 751, 2303, 6697, 11225, 30389, 61673, 87313, 0};
static int joe_kuo_d6_initial_number09843[] = {1, 3, 1, 7, 7, 37, 9, 85, 257, 805, 1325, 3597, 6065, 727, 18203, 57077, 437, 0};
static int joe_kuo_d6_initial_number09844[] = {1, 3, 5, 7, 5, 43, 29, 179, 73, 173, 1441, 1233, 1779, 7893, 10629, 27547, 7775, 0};
static int joe_kuo_d6_initial_number09845[] = {1, 1, 7, 5, 31, 29, 21, 35, 289, 423, 449, 3331, 2929, 6827, 15569, 9873, 76889, 0};
static int joe_kuo_d6_initial_number09846[] = {1, 1, 7, 13, 13, 37, 55, 99, 135, 797, 1263, 2539, 893, 4225, 16689, 38259, 50857, 0};
static int joe_kuo_d6_initial_number09847[] = {1, 1, 3, 1, 5, 3, 95, 29, 15, 539, 825, 3931, 4809, 8299, 29891, 61357, 97523, 0};
static int joe_kuo_d6_initial_number09848[] = {1, 3, 1, 9, 27, 25, 115, 239, 387, 163, 1153, 31, 2375, 7943, 31929, 1121, 33085, 0};
static int joe_kuo_d6_initial_number09849[] = {1, 3, 5, 9, 3, 53, 121, 159, 165, 81, 317, 3051, 1991, 493, 2029, 43305, 130209, 0};
static int joe_kuo_d6_initial_number09850[] = {1, 1, 1, 5, 9, 57, 39, 247, 73, 613, 1047, 3289, 2569, 5363, 18475, 32749, 39415, 0};
static int joe_kuo_d6_initial_number09851[] = {1, 3, 1, 5, 19, 23, 39, 33, 151, 463, 153, 737, 2501, 7531, 2769, 35595, 71799, 0};
static int joe_kuo_d6_initial_number09852[] = {1, 3, 5, 5, 29, 49, 105, 81, 67, 441, 1101, 2241, 6243, 6177, 7157, 51635, 81241, 0};
static int joe_kuo_d6_initial_number09853[] = {1, 3, 3, 3, 29, 53, 13, 239, 487, 503, 97, 1323, 1817, 13021, 12881, 26943, 21011, 0};
static int joe_kuo_d6_initial_number09854[] = {1, 1, 1, 15, 25, 9, 5, 205, 85, 635, 789, 2495, 5069, 4987, 847, 26857, 84225, 0};
static int joe_kuo_d6_initial_number09855[] = {1, 1, 3, 15, 9, 51, 79, 13, 377, 637, 159, 3407, 2057, 13967, 31781, 40869, 52987, 0};
static int joe_kuo_d6_initial_number09856[] = {1, 3, 1, 13, 11, 27, 103, 207, 383, 887, 749, 1119, 285, 4269, 31745, 57539, 5671, 0};
static int joe_kuo_d6_initial_number09857[] = {1, 3, 1, 13, 23, 19, 41, 43, 455, 425, 1653, 4091, 4855, 16321, 169, 59289, 82397, 0};
static int joe_kuo_d6_initial_number09858[] = {1, 3, 3, 15, 31, 39, 51, 127, 391, 989, 1831, 3327, 6487, 6077, 17277, 52093, 20389, 0};
static int joe_kuo_d6_initial_number09859[] = {1, 3, 5, 15, 19, 1, 21, 241, 15, 543, 1529, 2355, 1503, 12795, 17321, 41219, 61115, 0};
static int joe_kuo_d6_initial_number09860[] = {1, 1, 3, 11, 9, 33, 21, 197, 307, 141, 1663, 371, 1663, 8307, 3617, 56941, 62477, 0};
static int joe_kuo_d6_initial_number09861[] = {1, 3, 7, 9, 19, 53, 123, 3, 29, 635, 1795, 2471, 2491, 15847, 9169, 2561, 101515, 0};
static int joe_kuo_d6_initial_number09862[] = {1, 1, 5, 3, 19, 11, 117, 231, 475, 837, 1833, 3499, 4415, 9961, 28285, 37821, 81497, 0};
static int joe_kuo_d6_initial_number09863[] = {1, 1, 3, 5, 7, 11, 57, 89, 345, 157, 1519, 3021, 7157, 2159, 32557, 31559, 128907, 0};
static int joe_kuo_d6_initial_number09864[] = {1, 1, 7, 3, 27, 1, 15, 177, 489, 405, 811, 3597, 4939, 15595, 7279, 58097, 84703, 0};
static int joe_kuo_d6_initial_number09865[] = {1, 3, 1, 9, 25, 61, 119, 219, 111, 339, 1091, 759, 6087, 16001, 6757, 15627, 1691, 0};
static int joe_kuo_d6_initial_number09866[] = {1, 3, 7, 9, 1, 39, 107, 139, 143, 917, 421, 1623, 7135, 4851, 6687, 6177, 102425, 0};
static int joe_kuo_d6_initial_number09867[] = {1, 1, 7, 13, 23, 17, 19, 167, 317, 331, 743, 3737, 2195, 545, 2185, 9125, 30503, 0};
static int joe_kuo_d6_initial_number09868[] = {1, 1, 5, 13, 27, 33, 117, 141, 493, 129, 1553, 2335, 4161, 14205, 24177, 35163, 84869, 0};
static int joe_kuo_d6_initial_number09869[] = {1, 3, 7, 1, 11, 9, 75, 133, 113, 507, 2007, 2473, 4769, 14655, 17967, 17709, 90653, 0};
static int joe_kuo_d6_initial_number09870[] = {1, 1, 7, 11, 17, 11, 83, 23, 387, 61, 29, 3905, 4351, 15173, 28375, 9129, 111939, 0};
static int joe_kuo_d6_initial_number09871[] = {1, 1, 5, 15, 15, 53, 81, 125, 189, 937, 1607, 2595, 2847, 7229, 22241, 26269, 64781, 0};
static int joe_kuo_d6_initial_number09872[] = {1, 3, 1, 7, 5, 11, 61, 111, 13, 423, 885, 2329, 6003, 16331, 11207, 25743, 54619, 0};
static int joe_kuo_d6_initial_number09873[] = {1, 3, 5, 9, 1, 13, 95, 241, 237, 629, 263, 1629, 1063, 12695, 14501, 5455, 121483, 0};
static int joe_kuo_d6_initial_number09874[] = {1, 1, 7, 15, 5, 17, 45, 255, 143, 79, 87, 1755, 6215, 5095, 32411, 8695, 85511, 0};
static int joe_kuo_d6_initial_number09875[] = {1, 3, 7, 7, 21, 11, 117, 135, 333, 73, 1471, 2749, 5801, 4209, 9353, 46171, 90645, 0};
static int joe_kuo_d6_initial_number09876[] = {1, 1, 7, 13, 11, 35, 77, 149, 159, 783, 1527, 2881, 1409, 3455, 26991, 3225, 30693, 0};
static int joe_kuo_d6_initial_number09877[] = {1, 1, 3, 15, 19, 55, 21, 245, 207, 103, 775, 2041, 4637, 7333, 11267, 60509, 43099, 0};
static int joe_kuo_d6_initial_number09878[] = {1, 3, 3, 15, 17, 63, 23, 81, 183, 923, 75, 391, 615, 13343, 20839, 56529, 115747, 0};
static int joe_kuo_d6_initial_number09879[] = {1, 3, 1, 13, 5, 5, 15, 27, 263, 497, 1365, 2733, 5395, 7461, 2725, 24735, 89251, 0};
static int joe_kuo_d6_initial_number09880[] = {1, 1, 7, 7, 29, 17, 39, 117, 363, 915, 123, 283, 4575, 3497, 20995, 37883, 16645, 0};
static int joe_kuo_d6_initial_number09881[] = {1, 3, 3, 9, 1, 25, 79, 181, 331, 617, 393, 1807, 5145, 8007, 9173, 45189, 37945, 0};
static int joe_kuo_d6_initial_number09882[] = {1, 3, 1, 5, 1, 9, 127, 137, 379, 371, 367, 3237, 581, 15295, 18191, 37689, 103495, 0};
static int joe_kuo_d6_initial_number09883[] = {1, 1, 7, 1, 29, 53, 103, 173, 171, 973, 933, 3847, 3185, 10107, 31701, 45021, 106251, 0};
static int joe_kuo_d6_initial_number09884[] = {1, 1, 1, 7, 23, 9, 61, 25, 343, 471, 2041, 2179, 7647, 1885, 15353, 50379, 67681, 0};
static int joe_kuo_d6_initial_number09885[] = {1, 1, 5, 11, 31, 13, 51, 185, 83, 917, 85, 1317, 8185, 14949, 32455, 57939, 1217, 0};
static int joe_kuo_d6_initial_number09886[] = {1, 1, 7, 5, 23, 45, 101, 227, 497, 941, 985, 167, 6847, 9611, 20011, 40069, 83285, 0};
static int joe_kuo_d6_initial_number09887[] = {1, 1, 5, 13, 17, 33, 61, 197, 433, 255, 67, 1479, 5663, 6501, 30695, 27235, 80141, 0};
static int joe_kuo_d6_initial_number09888[] = {1, 1, 3, 5, 11, 45, 123, 49, 327, 893, 1963, 2225, 2611, 8925, 22811, 2313, 8411, 0};
static int joe_kuo_d6_initial_number09889[] = {1, 3, 7, 7, 15, 39, 75, 235, 13, 847, 575, 3947, 6947, 2061, 13467, 103, 86285, 0};
static int joe_kuo_d6_initial_number09890[] = {1, 1, 7, 3, 21, 43, 113, 197, 141, 873, 1139, 2707, 7235, 10683, 10831, 33695, 57063, 0};
static int joe_kuo_d6_initial_number09891[] = {1, 3, 5, 1, 3, 27, 45, 43, 119, 979, 1933, 1851, 6497, 14937, 4965, 41285, 120221, 0};
static int joe_kuo_d6_initial_number09892[] = {1, 1, 3, 1, 23, 59, 67, 7, 49, 351, 1053, 1837, 501, 7671, 26239, 51951, 95119, 0};
static int joe_kuo_d6_initial_number09893[] = {1, 3, 5, 11, 3, 19, 33, 33, 219, 175, 1439, 197, 1841, 159, 11229, 20463, 81797, 0};
static int joe_kuo_d6_initial_number09894[] = {1, 1, 7, 1, 13, 11, 79, 75, 53, 525, 91, 233, 5999, 2921, 21295, 56831, 116049, 0};
static int joe_kuo_d6_initial_number09895[] = {1, 3, 3, 13, 29, 7, 71, 207, 193, 635, 1393, 3093, 3775, 12445, 23281, 29401, 103225, 0};
static int joe_kuo_d6_initial_number09896[] = {1, 1, 7, 3, 29, 57, 111, 163, 63, 593, 881, 1587, 3027, 12599, 30977, 38891, 95495, 0};
static int joe_kuo_d6_initial_number09897[] = {1, 1, 5, 15, 17, 57, 111, 169, 149, 767, 377, 765, 7533, 1539, 22979, 55489, 29799, 0};
static int joe_kuo_d6_initial_number09898[] = {1, 3, 5, 15, 25, 7, 127, 71, 319, 389, 497, 1513, 1287, 7359, 12311, 45457, 45897, 0};
static int joe_kuo_d6_initial_number09899[] = {1, 1, 5, 3, 3, 35, 45, 17, 49, 483, 197, 727, 5355, 7201, 3035, 14313, 40933, 0};
static int joe_kuo_d6_initial_number09900[] = {1, 1, 7, 15, 1, 9, 27, 59, 455, 653, 1907, 281, 1435, 14593, 18909, 37655, 87603, 0};
static int joe_kuo_d6_initial_number09901[] = {1, 1, 7, 11, 29, 9, 67, 17, 353, 709, 859, 3687, 7741, 4251, 12263, 41717, 79393, 0};
static int joe_kuo_d6_initial_number09902[] = {1, 3, 3, 3, 1, 15, 113, 187, 255, 851, 503, 4089, 7923, 1701, 305, 8353, 16357, 0};
static int joe_kuo_d6_initial_number09903[] = {1, 1, 5, 3, 17, 31, 29, 233, 377, 215, 1889, 3459, 2443, 3907, 4193, 16519, 49089, 0};
static int joe_kuo_d6_initial_number09904[] = {1, 1, 3, 1, 17, 39, 11, 255, 247, 305, 669, 1769, 1355, 12055, 2275, 51681, 112337, 0};
static int joe_kuo_d6_initial_number09905[] = {1, 3, 1, 1, 17, 17, 75, 95, 409, 21, 1513, 1443, 4931, 6491, 1587, 62979, 90395, 0};
static int joe_kuo_d6_initial_number09906[] = {1, 1, 3, 5, 3, 19, 125, 175, 279, 911, 301, 407, 7773, 949, 32107, 13571, 58717, 0};
static int joe_kuo_d6_initial_number09907[] = {1, 3, 3, 15, 31, 35, 11, 223, 125, 209, 1719, 1725, 3387, 14879, 32243, 7219, 126791, 0};
static int joe_kuo_d6_initial_number09908[] = {1, 1, 3, 1, 31, 29, 67, 79, 93, 193, 1573, 2285, 3209, 8397, 17717, 5657, 61545, 0};
static int joe_kuo_d6_initial_number09909[] = {1, 3, 1, 9, 11, 33, 85, 121, 193, 63, 461, 1835, 889, 10687, 19831, 49551, 59087, 0};
static int joe_kuo_d6_initial_number09910[] = {1, 3, 3, 7, 11, 3, 9, 87, 91, 487, 289, 1113, 8135, 7971, 16693, 31009, 81197, 0};
static int joe_kuo_d6_initial_number09911[] = {1, 3, 3, 1, 23, 23, 61, 209, 409, 845, 547, 1493, 465, 6399, 17633, 53647, 52425, 0};
static int joe_kuo_d6_initial_number09912[] = {1, 1, 7, 7, 21, 31, 71, 249, 63, 895, 653, 93, 4429, 8951, 16873, 48089, 33947, 0};
static int joe_kuo_d6_initial_number09913[] = {1, 3, 5, 11, 3, 35, 49, 15, 379, 645, 855, 3657, 8019, 2141, 11233, 60731, 80455, 0};
static int joe_kuo_d6_initial_number09914[] = {1, 3, 1, 3, 1, 53, 101, 157, 255, 765, 1575, 1615, 7677, 9699, 13351, 2207, 90939, 0};
static int joe_kuo_d6_initial_number09915[] = {1, 3, 7, 7, 5, 43, 123, 109, 119, 391, 1889, 1991, 3151, 1457, 16321, 65245, 75891, 0};
static int joe_kuo_d6_initial_number09916[] = {1, 3, 1, 15, 9, 1, 113, 249, 1, 675, 501, 487, 2209, 4411, 6609, 29243, 100177, 0};
static int joe_kuo_d6_initial_number09917[] = {1, 1, 1, 7, 9, 23, 9, 197, 341, 191, 453, 3733, 5475, 15515, 28979, 36077, 17801, 0};
static int joe_kuo_d6_initial_number09918[] = {1, 1, 3, 13, 5, 35, 85, 121, 59, 429, 1251, 3437, 3121, 12411, 14713, 28125, 31921, 0};
static int joe_kuo_d6_initial_number09919[] = {1, 3, 5, 3, 27, 17, 61, 255, 485, 709, 83, 3201, 2191, 3371, 2941, 10931, 22141, 0};
static int joe_kuo_d6_initial_number09920[] = {1, 1, 1, 1, 19, 19, 25, 177, 397, 579, 529, 1619, 3887, 4537, 8123, 52481, 8305, 0};
static int joe_kuo_d6_initial_number09921[] = {1, 1, 3, 15, 3, 15, 77, 51, 31, 881, 203, 2359, 4947, 6321, 14705, 16471, 84395, 0};
static int joe_kuo_d6_initial_number09922[] = {1, 3, 7, 9, 13, 53, 67, 41, 289, 721, 1743, 2725, 435, 1327, 14953, 14283, 113211, 0};
static int joe_kuo_d6_initial_number09923[] = {1, 3, 1, 5, 19, 23, 73, 181, 187, 675, 125, 1877, 6167, 7919, 3955, 25007, 28299, 0};
static int joe_kuo_d6_initial_number09924[] = {1, 1, 3, 1, 5, 11, 123, 189, 173, 123, 499, 2175, 483, 13017, 14709, 5797, 36327, 0};
static int joe_kuo_d6_initial_number09925[] = {1, 3, 7, 5, 21, 39, 79, 229, 19, 203, 375, 3901, 1053, 14209, 13535, 63155, 99727, 0};
static int joe_kuo_d6_initial_number09926[] = {1, 1, 1, 13, 11, 29, 29, 173, 441, 271, 1147, 2891, 965, 10777, 16325, 37135, 101601, 0};
static int joe_kuo_d6_initial_number09927[] = {1, 1, 3, 3, 25, 13, 79, 233, 75, 191, 987, 3231, 3667, 1525, 14193, 62027, 77441, 0};
static int joe_kuo_d6_initial_number09928[] = {1, 3, 1, 1, 15, 53, 17, 45, 367, 263, 425, 1565, 6139, 13833, 12547, 61103, 75361, 0};
static int joe_kuo_d6_initial_number09929[] = {1, 1, 5, 15, 5, 57, 123, 47, 407, 887, 375, 1181, 5367, 10283, 24799, 33121, 76373, 0};
static int joe_kuo_d6_initial_number09930[] = {1, 1, 7, 3, 11, 17, 65, 133, 3, 609, 601, 3391, 7801, 4137, 32095, 55983, 23037, 0};
static int joe_kuo_d6_initial_number09931[] = {1, 3, 1, 3, 25, 5, 125, 5, 297, 571, 145, 3601, 1929, 13457, 16977, 21049, 92169, 0};
static int joe_kuo_d6_initial_number09932[] = {1, 3, 5, 13, 23, 29, 13, 143, 507, 187, 857, 427, 5125, 1377, 10947, 58473, 110541, 0};
static int joe_kuo_d6_initial_number09933[] = {1, 3, 3, 15, 15, 49, 39, 103, 193, 507, 639, 2399, 3829, 12105, 15993, 52975, 115935, 0};
static int joe_kuo_d6_initial_number09934[] = {1, 3, 7, 3, 7, 41, 95, 127, 193, 923, 1729, 3039, 7959, 3345, 7725, 35293, 34361, 0};
static int joe_kuo_d6_initial_number09935[] = {1, 3, 5, 13, 17, 53, 111, 141, 151, 389, 1955, 3333, 4523, 6331, 21239, 57447, 113325, 0};
static int joe_kuo_d6_initial_number09936[] = {1, 3, 7, 15, 31, 7, 11, 35, 105, 607, 1665, 3281, 487, 9417, 26205, 26963, 81537, 0};
static int joe_kuo_d6_initial_number09937[] = {1, 3, 1, 1, 17, 15, 3, 55, 451, 691, 1525, 2009, 6443, 4629, 15091, 46961, 83361, 0};
static int joe_kuo_d6_initial_number09938[] = {1, 3, 1, 15, 1, 29, 99, 79, 225, 665, 623, 2389, 3303, 7221, 20567, 15917, 24677, 0};
static int joe_kuo_d6_initial_number09939[] = {1, 1, 3, 15, 3, 17, 125, 239, 485, 849, 327, 1459, 3911, 2145, 14475, 24337, 19695, 0};
static int joe_kuo_d6_initial_number09940[] = {1, 3, 5, 7, 7, 37, 19, 51, 373, 587, 147, 563, 7623, 7781, 18289, 37239, 6803, 0};
static int joe_kuo_d6_initial_number09941[] = {1, 3, 5, 1, 9, 63, 5, 87, 171, 5, 1553, 429, 5001, 7881, 1493, 20425, 57727, 0};
static int joe_kuo_d6_initial_number09942[] = {1, 3, 5, 9, 25, 43, 17, 71, 87, 869, 1219, 2661, 4571, 9689, 18799, 62467, 128531, 0};
static int joe_kuo_d6_initial_number09943[] = {1, 1, 3, 3, 19, 53, 61, 9, 55, 433, 1555, 2369, 1423, 9081, 19185, 8513, 111079, 0};
static int joe_kuo_d6_initial_number09944[] = {1, 3, 5, 15, 11, 61, 1, 147, 17, 71, 1563, 1113, 4809, 16229, 23743, 59757, 64699, 0};
static int joe_kuo_d6_initial_number09945[] = {1, 1, 5, 11, 29, 23, 61, 43, 203, 97, 1119, 237, 6445, 14507, 9799, 18447, 14745, 0};
static int joe_kuo_d6_initial_number09946[] = {1, 3, 5, 15, 11, 17, 117, 139, 117, 537, 251, 149, 2731, 15863, 1381, 25435, 25501, 0};
static int joe_kuo_d6_initial_number09947[] = {1, 3, 3, 15, 31, 57, 53, 43, 95, 445, 1423, 3833, 2485, 11789, 16011, 8101, 39165, 0};
static int joe_kuo_d6_initial_number09948[] = {1, 1, 3, 11, 15, 37, 117, 3, 245, 57, 593, 2771, 7181, 11397, 5691, 3217, 44139, 0};
static int joe_kuo_d6_initial_number09949[] = {1, 3, 5, 1, 11, 13, 121, 85, 85, 511, 1837, 611, 237, 4893, 24025, 28903, 102025, 0};
static int joe_kuo_d6_initial_number09950[] = {1, 3, 1, 11, 5, 45, 43, 45, 393, 741, 1157, 1511, 1665, 2359, 19071, 24537, 122879, 0};
static int joe_kuo_d6_initial_number09951[] = {1, 3, 3, 3, 9, 59, 27, 11, 257, 203, 1535, 2729, 2313, 3539, 1689, 31901, 42949, 0};
static int joe_kuo_d6_initial_number09952[] = {1, 1, 1, 11, 17, 7, 21, 35, 479, 697, 107, 1317, 6585, 705, 3789, 20439, 33375, 0};
static int joe_kuo_d6_initial_number09953[] = {1, 1, 3, 11, 19, 37, 123, 233, 253, 733, 901, 3047, 3595, 2357, 24533, 40519, 109171, 0};
static int joe_kuo_d6_initial_number09954[] = {1, 3, 3, 13, 29, 51, 25, 149, 57, 253, 2001, 351, 7367, 15361, 4955, 60951, 19449, 0};
static int joe_kuo_d6_initial_number09955[] = {1, 1, 3, 15, 21, 53, 25, 239, 257, 437, 711, 3599, 5441, 7405, 15039, 19207, 63841, 0};
static int joe_kuo_d6_initial_number09956[] = {1, 3, 1, 9, 17, 41, 43, 231, 413, 747, 1447, 1407, 2615, 14529, 10781, 20001, 82713, 0};
static int joe_kuo_d6_initial_number09957[] = {1, 3, 7, 7, 9, 29, 25, 55, 53, 423, 1711, 2871, 2675, 421, 31703, 57099, 2955, 0};
static int joe_kuo_d6_initial_number09958[] = {1, 3, 1, 7, 31, 17, 113, 83, 387, 611, 1815, 2137, 3453, 4409, 20377, 60263, 81205, 0};
static int joe_kuo_d6_initial_number09959[] = {1, 1, 5, 3, 11, 1, 7, 225, 367, 267, 95, 939, 3801, 2619, 1207, 62695, 116407, 0};
static int joe_kuo_d6_initial_number09960[] = {1, 3, 3, 9, 5, 39, 85, 45, 247, 483, 491, 865, 3493, 8243, 8411, 26449, 50473, 0};
static int joe_kuo_d6_initial_number09961[] = {1, 3, 3, 9, 1, 53, 23, 127, 13, 529, 1925, 2629, 3451, 15073, 16075, 29909, 34101, 0};
static int joe_kuo_d6_initial_number09962[] = {1, 3, 1, 11, 1, 9, 125, 57, 79, 633, 979, 3843, 325, 883, 7769, 40155, 104057, 0};
static int joe_kuo_d6_initial_number09963[] = {1, 1, 7, 13, 23, 53, 27, 157, 493, 901, 1077, 1079, 1327, 15903, 20603, 64377, 103335, 0};
static int joe_kuo_d6_initial_number09964[] = {1, 3, 3, 3, 3, 35, 37, 167, 73, 301, 385, 1045, 6913, 2269, 22491, 19735, 70125, 0};
static int joe_kuo_d6_initial_number09965[] = {1, 1, 1, 11, 5, 23, 23, 85, 267, 845, 207, 77, 1245, 16209, 25579, 12417, 48723, 0};
static int joe_kuo_d6_initial_number09966[] = {1, 1, 5, 15, 11, 17, 43, 83, 373, 1005, 541, 115, 163, 2165, 8181, 35839, 44471, 0};
static int joe_kuo_d6_initial_number09967[] = {1, 3, 5, 7, 27, 41, 101, 13, 213, 235, 2037, 2179, 2121, 4481, 8127, 20011, 3981, 0};
static int joe_kuo_d6_initial_number09968[] = {1, 1, 5, 11, 7, 43, 59, 129, 127, 387, 489, 1985, 623, 13307, 19765, 62155, 93271, 0};
static int joe_kuo_d6_initial_number09969[] = {1, 1, 7, 5, 23, 63, 23, 177, 211, 233, 101, 1809, 7411, 8003, 25101, 32601, 75071, 0};
static int joe_kuo_d6_initial_number09970[] = {1, 1, 1, 11, 3, 25, 9, 91, 459, 611, 867, 3639, 5457, 9101, 15333, 40069, 67723, 0};
static int joe_kuo_d6_initial_number09971[] = {1, 3, 7, 5, 3, 29, 111, 75, 459, 195, 1405, 2281, 6085, 4425, 29061, 57335, 87449, 0};
static int joe_kuo_d6_initial_number09972[] = {1, 3, 7, 11, 21, 45, 53, 81, 77, 863, 1901, 3355, 5253, 10897, 26289, 48399, 26877, 0};
static int joe_kuo_d6_initial_number09973[] = {1, 3, 3, 13, 21, 37, 69, 87, 259, 101, 1203, 167, 6229, 145, 9355, 15347, 68047, 0};
static int joe_kuo_d6_initial_number09974[] = {1, 1, 3, 1, 31, 1, 15, 229, 429, 915, 929, 381, 1857, 8441, 22207, 47071, 127853, 0};
static int joe_kuo_d6_initial_number09975[] = {1, 3, 7, 3, 15, 9, 13, 161, 173, 573, 405, 3253, 7331, 13965, 3061, 40687, 130185, 0};
static int joe_kuo_d6_initial_number09976[] = {1, 3, 5, 5, 29, 29, 9, 115, 393, 377, 909, 321, 2861, 9881, 17863, 52033, 55133, 0};
static int joe_kuo_d6_initial_number09977[] = {1, 1, 7, 7, 27, 53, 101, 213, 199, 301, 1995, 2549, 5037, 13639, 18423, 23547, 79359, 0};
static int joe_kuo_d6_initial_number09978[] = {1, 3, 1, 7, 21, 51, 29, 151, 301, 665, 571, 53, 2637, 7229, 12517, 33647, 49413, 0};
static int joe_kuo_d6_initial_number09979[] = {1, 3, 3, 13, 13, 49, 49, 131, 325, 273, 1127, 2981, 2365, 14287, 23185, 26915, 81755, 0};
static int joe_kuo_d6_initial_number09980[] = {1, 1, 5, 3, 17, 45, 25, 79, 37, 265, 1205, 1805, 6707, 11525, 16473, 39525, 9571, 0};
static int joe_kuo_d6_initial_number09981[] = {1, 3, 3, 15, 9, 43, 55, 101, 469, 939, 365, 3443, 5759, 4751, 28893, 46727, 74569, 0};
static int joe_kuo_d6_initial_number09982[] = {1, 3, 7, 9, 5, 33, 11, 201, 263, 227, 1475, 2795, 1489, 11129, 18053, 31009, 73105, 0};
static int joe_kuo_d6_initial_number09983[] = {1, 3, 5, 5, 5, 25, 41, 151, 393, 237, 2017, 3811, 953, 13835, 28761, 22439, 76355, 0};
static int joe_kuo_d6_initial_number09984[] = {1, 1, 5, 13, 21, 37, 29, 11, 289, 67, 1317, 511, 685, 15227, 8731, 15039, 79491, 0};
static int joe_kuo_d6_initial_number09985[] = {1, 3, 1, 9, 31, 59, 123, 169, 473, 139, 575, 1057, 3213, 8213, 21845, 28123, 105335, 0};
static int joe_kuo_d6_initial_number09986[] = {1, 1, 1, 5, 21, 47, 23, 121, 403, 5, 1457, 2137, 569, 9267, 6367, 6991, 3113, 0};
static int joe_kuo_d6_initial_number09987[] = {1, 3, 3, 7, 13, 7, 25, 215, 81, 1003, 2041, 1317, 3913, 14705, 30551, 50889, 83441, 0};
static int joe_kuo_d6_initial_number09988[] = {1, 3, 3, 3, 13, 17, 63, 229, 83, 901, 953, 2603, 4685, 6961, 7519, 52441, 33223, 0};
static int joe_kuo_d6_initial_number09989[] = {1, 3, 7, 5, 7, 57, 65, 73, 243, 531, 261, 2517, 4083, 5889, 22913, 49603, 67135, 0};
static int joe_kuo_d6_initial_number09990[] = {1, 3, 5, 11, 15, 47, 81, 83, 35, 1021, 1313, 1109, 5103, 5469, 18149, 15307, 34939, 0};
static int joe_kuo_d6_initial_number09991[] = {1, 3, 7, 5, 21, 13, 105, 157, 435, 23, 931, 3565, 1, 4987, 8829, 7327, 51049, 0};
static int joe_kuo_d6_initial_number09992[] = {1, 1, 3, 11, 29, 9, 59, 49, 261, 1009, 1953, 2683, 8125, 10937, 16683, 36013, 5967, 0};
static int joe_kuo_d6_initial_number09993[] = {1, 1, 1, 1, 19, 29, 57, 9, 307, 457, 675, 3023, 495, 15257, 7945, 10449, 30155, 0};
static int joe_kuo_d6_initial_number09994[] = {1, 1, 7, 13, 25, 9, 51, 135, 491, 205, 1715, 3253, 1031, 4137, 14885, 39925, 6061, 0};
static int joe_kuo_d6_initial_number09995[] = {1, 1, 7, 7, 3, 13, 111, 91, 469, 133, 1221, 1035, 919, 3697, 26387, 41675, 487, 0};
static int joe_kuo_d6_initial_number09996[] = {1, 1, 3, 1, 19, 53, 11, 113, 245, 747, 189, 4051, 87, 1767, 3595, 10259, 100097, 0};
static int joe_kuo_d6_initial_number09997[] = {1, 1, 5, 3, 23, 49, 31, 47, 341, 1019, 723, 2353, 6191, 3809, 3297, 39443, 73529, 0};
static int joe_kuo_d6_initial_number09998[] = {1, 3, 3, 9, 25, 27, 123, 49, 51, 85, 1063, 2633, 6549, 14493, 7367, 3557, 60651, 0};
static int joe_kuo_d6_initial_number09999[] = {1, 3, 7, 5, 13, 27, 127, 65, 115, 731, 1147, 283, 91, 14205, 2457, 57083, 35815, 0};
static int joe_kuo_d6_initial_number10000[] = {1, 3, 3, 3, 25, 63, 99, 249, 25, 951, 733, 3621, 7139, 14223, 23641, 20287, 30743, 0};
static int joe_kuo_d6_initial_number10001[] = {1, 3, 3, 7, 21, 23, 83, 207, 235, 467, 1857, 2661, 1391, 10097, 12297, 54825, 5035, 0};
static int joe_kuo_d6_initial_number10002[] = {1, 1, 5, 3, 31, 17, 77, 9, 215, 553, 989, 3643, 729, 2057, 32053, 50305, 5499, 0};
static int joe_kuo_d6_initial_number10003[] = {1, 1, 7, 1, 23, 5, 111, 195, 431, 947, 403, 1781, 943, 15073, 67, 52225, 98987, 0};
static int joe_kuo_d6_initial_number10004[] = {1, 1, 5, 11, 23, 1, 41, 33, 457, 767, 275, 801, 5119, 3781, 14805, 52789, 41775, 0};
static int joe_kuo_d6_initial_number10005[] = {1, 1, 5, 3, 9, 53, 15, 183, 281, 691, 165, 3277, 7673, 1509, 16605, 53799, 100185, 0};
static int joe_kuo_d6_initial_number10006[] = {1, 3, 5, 11, 19, 45, 29, 159, 167, 67, 1259, 879, 7787, 8855, 24153, 42667, 102855, 0};
static int joe_kuo_d6_initial_number10007[] = {1, 1, 7, 13, 31, 19, 43, 133, 295, 287, 1985, 2451, 2297, 3853, 22401, 27659, 11149, 0};
static int joe_kuo_d6_initial_number10008[] = {1, 1, 7, 13, 31, 39, 125, 21, 173, 103, 1119, 3739, 6467, 2113, 4465, 26537, 129949, 0};
static int joe_kuo_d6_initial_number10009[] = {1, 1, 5, 15, 21, 47, 35, 125, 199, 335, 421, 31, 185, 12769, 30659, 33427, 106981, 0};
static int joe_kuo_d6_initial_number10010[] = {1, 3, 5, 13, 25, 35, 53, 253, 325, 921, 1705, 2735, 6437, 2287, 20479, 61107, 91453, 0};
static int joe_kuo_d6_initial_number10011[] = {1, 3, 7, 13, 25, 63, 83, 183, 5, 401, 329, 525, 3141, 393, 30469, 16529, 9605, 0};
static int joe_kuo_d6_initial_number10012[] = {1, 3, 3, 13, 19, 23, 15, 85, 323, 545, 149, 3645, 6269, 15595, 18453, 39, 128169, 0};
static int joe_kuo_d6_initial_number10013[] = {1, 3, 7, 15, 17, 5, 61, 61, 91, 353, 1039, 2959, 4147, 13205, 12599, 53281, 39509, 0};
static int joe_kuo_d6_initial_number10014[] = {1, 1, 3, 7, 21, 9, 97, 111, 249, 775, 845, 1789, 667, 489, 6689, 29217, 56527, 0};
static int joe_kuo_d6_initial_number10015[] = {1, 3, 5, 7, 11, 5, 59, 219, 29, 803, 923, 3861, 7953, 8969, 1819, 43501, 20513, 0};
static int joe_kuo_d6_initial_number10016[] = {1, 1, 5, 11, 7, 53, 63, 231, 193, 293, 1467, 1409, 6397, 13237, 15903, 19271, 66257, 0};
static int joe_kuo_d6_initial_number10017[] = {1, 3, 1, 15, 23, 15, 37, 123, 189, 63, 1121, 751, 6711, 10095, 6493, 40709, 47641, 0};
static int joe_kuo_d6_initial_number10018[] = {1, 3, 7, 3, 23, 59, 99, 183, 249, 479, 771, 1087, 7979, 409, 4819, 4337, 33345, 0};
static int joe_kuo_d6_initial_number10019[] = {1, 1, 5, 1, 17, 7, 15, 167, 305, 411, 1429, 3127, 23, 9123, 7185, 44405, 114841, 0};
static int joe_kuo_d6_initial_number10020[] = {1, 1, 5, 11, 3, 29, 29, 31, 399, 777, 251, 1841, 3607, 211, 23543, 29111, 54565, 0};
static int joe_kuo_d6_initial_number10021[] = {1, 3, 3, 9, 27, 33, 79, 27, 469, 67, 1327, 183, 5783, 10039, 13165, 20443, 4913, 0};
static int joe_kuo_d6_initial_number10022[] = {1, 3, 7, 15, 21, 23, 5, 227, 141, 1021, 69, 3347, 7221, 13837, 20921, 20525, 32567, 0};
static int joe_kuo_d6_initial_number10023[] = {1, 1, 5, 5, 25, 53, 73, 111, 319, 311, 1597, 1809, 5343, 13963, 6613, 14471, 53871, 0};
static int joe_kuo_d6_initial_number10024[] = {1, 3, 3, 1, 15, 57, 47, 205, 53, 471, 185, 273, 8077, 5031, 31195, 30859, 15979, 0};
static int joe_kuo_d6_initial_number10025[] = {1, 1, 3, 5, 23, 15, 87, 211, 83, 265, 1629, 2979, 69, 12559, 30455, 36363, 61461, 0};
static int joe_kuo_d6_initial_number10026[] = {1, 1, 7, 7, 1, 47, 5, 199, 95, 17, 57, 1887, 6847, 9501, 21361, 57763, 77069, 0};
static int joe_kuo_d6_initial_number10027[] = {1, 1, 3, 5, 9, 15, 15, 149, 141, 605, 639, 2197, 7237, 5753, 9415, 4677, 129947, 0};
static int joe_kuo_d6_initial_number10028[] = {1, 3, 7, 1, 7, 9, 29, 249, 275, 461, 1667, 4093, 5763, 3205, 24079, 11883, 86455, 0};
static int joe_kuo_d6_initial_number10029[] = {1, 1, 3, 5, 15, 39, 117, 145, 153, 671, 1819, 111, 3607, 12279, 4927, 63759, 42905, 0};
static int joe_kuo_d6_initial_number10030[] = {1, 1, 1, 5, 31, 5, 35, 183, 189, 839, 1811, 1877, 6545, 11373, 27947, 27183, 29857, 0};
static int joe_kuo_d6_initial_number10031[] = {1, 3, 5, 7, 29, 47, 3, 183, 511, 145, 1953, 3419, 6385, 7745, 12823, 59783, 69399, 0};
static int joe_kuo_d6_initial_number10032[] = {1, 3, 5, 9, 5, 39, 85, 145, 33, 899, 1009, 2035, 6145, 3855, 20583, 4329, 95231, 0};
static int joe_kuo_d6_initial_number10033[] = {1, 1, 3, 3, 15, 61, 85, 181, 247, 705, 413, 1633, 7489, 1785, 30397, 42851, 80197, 0};
static int joe_kuo_d6_initial_number10034[] = {1, 3, 3, 13, 23, 11, 3, 97, 307, 183, 113, 3881, 7455, 8327, 6749, 23977, 101629, 0};
static int joe_kuo_d6_initial_number10035[] = {1, 1, 7, 13, 1, 23, 59, 219, 125, 789, 1401, 707, 6915, 6275, 25813, 46595, 54119, 0};
static int joe_kuo_d6_initial_number10036[] = {1, 3, 7, 9, 5, 7, 37, 33, 165, 181, 833, 1993, 4541, 5799, 23323, 39825, 44575, 0};
static int joe_kuo_d6_initial_number10037[] = {1, 3, 1, 13, 13, 43, 69, 219, 437, 521, 503, 2293, 3607, 6845, 22583, 291, 65645, 0};
static int joe_kuo_d6_initial_number10038[] = {1, 1, 7, 9, 29, 13, 123, 67, 191, 933, 1875, 1223, 5525, 13797, 29771, 58191, 84469, 0};
static int joe_kuo_d6_initial_number10039[] = {1, 1, 7, 7, 3, 57, 101, 69, 23, 239, 1023, 3289, 1541, 6245, 23379, 161, 61155, 0};
static int joe_kuo_d6_initial_number10040[] = {1, 3, 7, 13, 25, 33, 49, 145, 487, 681, 451, 1719, 109, 16273, 20009, 3003, 115815, 0};
static int joe_kuo_d6_initial_number10041[] = {1, 1, 5, 11, 11, 59, 41, 133, 303, 469, 1975, 847, 5291, 13947, 8759, 8533, 25099, 0};
static int joe_kuo_d6_initial_number10042[] = {1, 1, 1, 1, 29, 31, 53, 11, 239, 57, 1627, 1247, 1577, 3269, 20751, 4627, 40499, 0};
static int joe_kuo_d6_initial_number10043[] = {1, 3, 7, 15, 1, 1, 51, 39, 383, 203, 1841, 3867, 4975, 9937, 1863, 52611, 83189, 0};
static int joe_kuo_d6_initial_number10044[] = {1, 3, 7, 7, 13, 59, 15, 217, 355, 945, 1317, 815, 2413, 10985, 30647, 37745, 126553, 0};
static int joe_kuo_d6_initial_number10045[] = {1, 1, 3, 11, 7, 29, 101, 137, 97, 119, 927, 3269, 6977, 4253, 10741, 61907, 122815, 0};
static int joe_kuo_d6_initial_number10046[] = {1, 3, 3, 1, 29, 5, 49, 137, 411, 349, 905, 2481, 4961, 4513, 29409, 19503, 77915, 0};
static int joe_kuo_d6_initial_number10047[] = {1, 1, 7, 13, 29, 59, 93, 61, 393, 29, 257, 3601, 6281, 5105, 17339, 53827, 83137, 0};
static int joe_kuo_d6_initial_number10048[] = {1, 1, 1, 13, 5, 23, 61, 7, 51, 161, 737, 1549, 6021, 3385, 5539, 21261, 69995, 0};
static int joe_kuo_d6_initial_number10049[] = {1, 1, 1, 15, 31, 1, 21, 113, 481, 7, 175, 717, 1593, 5937, 12347, 51835, 66649, 0};
static int joe_kuo_d6_initial_number10050[] = {1, 1, 3, 7, 9, 51, 9, 199, 39, 607, 1157, 3913, 7767, 14195, 28721, 27655, 34709, 0};
static int joe_kuo_d6_initial_number10051[] = {1, 3, 5, 5, 1, 15, 49, 33, 441, 721, 1749, 1497, 2023, 8351, 12641, 11861, 78545, 0};
static int joe_kuo_d6_initial_number10052[] = {1, 3, 1, 7, 7, 17, 103, 113, 243, 25, 889, 1419, 3163, 12401, 22459, 39037, 101719, 0};
static int joe_kuo_d6_initial_number10053[] = {1, 1, 7, 11, 17, 45, 121, 215, 3, 409, 1871, 2149, 4249, 5071, 14277, 55869, 91233, 0};
static int joe_kuo_d6_initial_number10054[] = {1, 1, 3, 7, 19, 31, 47, 241, 175, 749, 1709, 355, 6037, 10555, 24107, 64683, 42673, 0};
static int joe_kuo_d6_initial_number10055[] = {1, 3, 7, 11, 5, 21, 105, 137, 307, 101, 417, 1903, 1027, 10257, 27767, 9755, 92105, 0};
static int joe_kuo_d6_initial_number10056[] = {1, 1, 3, 13, 9, 59, 11, 63, 295, 923, 401, 1471, 3517, 7761, 28855, 11525, 72455, 0};
static int joe_kuo_d6_initial_number10057[] = {1, 1, 7, 15, 31, 51, 77, 29, 323, 579, 1313, 3441, 2903, 1683, 20605, 8185, 29753, 0};
static int joe_kuo_d6_initial_number10058[] = {1, 1, 5, 15, 11, 59, 119, 109, 233, 1001, 1527, 2709, 73, 5311, 18313, 27155, 85999, 0};
static int joe_kuo_d6_initial_number10059[] = {1, 3, 1, 5, 9, 59, 105, 93, 213, 401, 839, 3225, 3263, 13501, 2413, 60367, 121281, 0};
static int joe_kuo_d6_initial_number10060[] = {1, 1, 7, 3, 19, 25, 75, 27, 325, 435, 527, 1465, 3601, 5785, 6135, 32841, 60129, 0};
static int joe_kuo_d6_initial_number10061[] = {1, 1, 3, 7, 31, 19, 37, 157, 189, 51, 869, 2963, 5269, 9151, 14845, 30441, 89685, 0};
static int joe_kuo_d6_initial_number10062[] = {1, 3, 3, 9, 17, 51, 23, 177, 417, 255, 1739, 3085, 7811, 15177, 25433, 38487, 51021, 0};
static int joe_kuo_d6_initial_number10063[] = {1, 1, 3, 7, 27, 1, 45, 235, 59, 491, 1327, 3967, 7585, 4313, 29669, 47193, 89427, 0};
static int joe_kuo_d6_initial_number10064[] = {1, 1, 3, 9, 19, 5, 27, 63, 263, 593, 1599, 1311, 1029, 603, 25291, 51391, 98915, 0};
static int joe_kuo_d6_initial_number10065[] = {1, 3, 3, 15, 11, 7, 97, 99, 263, 155, 437, 3849, 2665, 3371, 8179, 51883, 3601, 0};
static int joe_kuo_d6_initial_number10066[] = {1, 1, 3, 15, 7, 35, 37, 149, 251, 619, 1423, 553, 4453, 16365, 22543, 6951, 34655, 0};
static int joe_kuo_d6_initial_number10067[] = {1, 3, 3, 11, 15, 21, 95, 143, 31, 425, 179, 2383, 4799, 7655, 26945, 9273, 103469, 0};
static int joe_kuo_d6_initial_number10068[] = {1, 3, 1, 9, 13, 49, 3, 117, 361, 459, 227, 2067, 4909, 13461, 22505, 10259, 59697, 0};
static int joe_kuo_d6_initial_number10069[] = {1, 1, 7, 7, 7, 23, 67, 217, 313, 965, 1747, 995, 579, 6217, 8915, 49329, 851, 0};
static int joe_kuo_d6_initial_number10070[] = {1, 1, 3, 1, 17, 19, 7, 99, 281, 207, 1685, 2401, 967, 9399, 28741, 28839, 6003, 0};
static int joe_kuo_d6_initial_number10071[] = {1, 3, 3, 5, 31, 61, 105, 251, 499, 319, 1167, 2203, 1195, 2663, 11797, 12981, 125523, 0};
static int joe_kuo_d6_initial_number10072[] = {1, 3, 1, 5, 23, 19, 99, 101, 85, 837, 501, 2737, 4051, 2413, 9275, 38995, 21633, 0};
static int joe_kuo_d6_initial_number10073[] = {1, 3, 7, 13, 17, 17, 119, 75, 281, 527, 1477, 1515, 7765, 5573, 10143, 6219, 57817, 0};
static int joe_kuo_d6_initial_number10074[] = {1, 1, 5, 11, 19, 35, 85, 171, 107, 905, 1395, 1199, 7345, 15719, 14021, 47425, 36081, 0};
static int joe_kuo_d6_initial_number10075[] = {1, 1, 3, 9, 9, 63, 109, 15, 323, 73, 1541, 2227, 5197, 12617, 23379, 53415, 105291, 0};
static int joe_kuo_d6_initial_number10076[] = {1, 3, 3, 5, 5, 41, 85, 99, 3, 895, 1383, 3627, 3897, 1893, 23673, 56501, 78411, 0};
static int joe_kuo_d6_initial_number10077[] = {1, 1, 7, 1, 25, 27, 45, 185, 475, 577, 1619, 727, 1407, 2383, 9215, 55295, 27349, 0};
static int joe_kuo_d6_initial_number10078[] = {1, 3, 7, 11, 3, 51, 53, 53, 399, 711, 1075, 511, 5369, 10777, 14419, 63217, 130181, 0};
static int joe_kuo_d6_initial_number10079[] = {1, 1, 7, 13, 25, 19, 107, 71, 151, 73, 735, 3837, 5307, 10229, 10529, 9989, 111925, 0};
static int joe_kuo_d6_initial_number10080[] = {1, 1, 1, 15, 19, 59, 65, 77, 465, 957, 1085, 1359, 3959, 15823, 6273, 12565, 126167, 0};
static int joe_kuo_d6_initial_number10081[] = {1, 1, 5, 5, 31, 53, 23, 173, 407, 795, 41, 3275, 1953, 13673, 26625, 33477, 14149, 0};
static int joe_kuo_d6_initial_number10082[] = {1, 1, 7, 7, 1, 11, 121, 139, 77, 321, 1939, 2597, 621, 9579, 11629, 13119, 30505, 0};
static int joe_kuo_d6_initial_number10083[] = {1, 1, 1, 5, 3, 33, 45, 127, 169, 581, 1521, 1019, 6489, 1069, 2469, 40255, 66619, 0};
static int joe_kuo_d6_initial_number10084[] = {1, 3, 7, 5, 29, 47, 7, 245, 459, 417, 1027, 857, 4905, 11255, 3267, 9491, 78013, 0};
static int joe_kuo_d6_initial_number10085[] = {1, 3, 5, 9, 25, 49, 61, 215, 19, 731, 303, 1001, 6031, 3705, 7797, 31957, 119383, 0};
static int joe_kuo_d6_initial_number10086[] = {1, 3, 5, 5, 1, 9, 37, 187, 235, 453, 963, 2833, 3501, 605, 2763, 41215, 93547, 0};
static int joe_kuo_d6_initial_number10087[] = {1, 3, 1, 1, 21, 3, 41, 53, 425, 687, 1051, 2365, 7835, 3981, 5557, 61993, 127417, 0};
static int joe_kuo_d6_initial_number10088[] = {1, 3, 3, 7, 13, 61, 41, 189, 261, 163, 1931, 1803, 2379, 16379, 25453, 17911, 123431, 0};
static int joe_kuo_d6_initial_number10089[] = {1, 1, 7, 15, 23, 21, 95, 7, 27, 897, 721, 3917, 7971, 4643, 5223, 46583, 32453, 0};
static int joe_kuo_d6_initial_number10090[] = {1, 1, 7, 7, 1, 25, 83, 109, 223, 573, 533, 449, 6477, 10719, 28705, 8283, 94963, 0};
static int joe_kuo_d6_initial_number10091[] = {1, 1, 5, 13, 21, 45, 63, 31, 21, 223, 31, 1249, 425, 7199, 11539, 7731, 44333, 0};
static int joe_kuo_d6_initial_number10092[] = {1, 1, 5, 15, 29, 5, 87, 215, 287, 567, 297, 451, 5867, 15511, 1005, 57469, 87257, 0};
static int joe_kuo_d6_initial_number10093[] = {1, 3, 5, 11, 13, 51, 117, 139, 377, 1015, 1237, 2053, 7625, 1003, 22673, 64345, 16203, 0};
static int joe_kuo_d6_initial_number10094[] = {1, 1, 3, 15, 19, 39, 73, 205, 185, 331, 869, 857, 5043, 7247, 25253, 5799, 64857, 0};
static int joe_kuo_d6_initial_number10095[] = {1, 3, 7, 1, 25, 63, 125, 47, 161, 289, 373, 1603, 1663, 1123, 28907, 37855, 47935, 0};
static int joe_kuo_d6_initial_number10096[] = {1, 1, 7, 15, 9, 17, 97, 63, 79, 123, 1357, 3055, 2323, 16083, 21861, 38743, 81291, 0};
static int joe_kuo_d6_initial_number10097[] = {1, 1, 3, 15, 5, 23, 7, 159, 127, 511, 55, 2691, 6823, 16151, 8059, 43021, 18911, 0};
static int joe_kuo_d6_initial_number10098[] = {1, 1, 3, 9, 27, 19, 41, 75, 375, 921, 1745, 35, 1189, 5857, 29869, 43827, 16899, 0};
static int joe_kuo_d6_initial_number10099[] = {1, 1, 1, 5, 3, 21, 13, 235, 51, 529, 291, 2619, 5419, 12573, 10907, 8865, 54987, 0};
static int joe_kuo_d6_initial_number10100[] = {1, 3, 1, 13, 7, 9, 85, 131, 159, 743, 1671, 3001, 4559, 12343, 27563, 49941, 68447, 0};
static int joe_kuo_d6_initial_number10101[] = {1, 1, 7, 5, 17, 61, 99, 63, 199, 383, 485, 2569, 5329, 645, 18805, 20421, 101229, 0};
static int joe_kuo_d6_initial_number10102[] = {1, 1, 1, 15, 3, 59, 41, 247, 213, 843, 2003, 125, 7755, 4203, 20277, 47195, 48249, 0};
static int joe_kuo_d6_initial_number10103[] = {1, 1, 5, 15, 15, 17, 113, 101, 27, 811, 1791, 1777, 749, 14317, 17267, 54467, 118369, 0};
static int joe_kuo_d6_initial_number10104[] = {1, 3, 3, 3, 19, 37, 23, 117, 275, 733, 1259, 567, 1769, 12071, 5413, 49411, 99259, 0};
static int joe_kuo_d6_initial_number10105[] = {1, 3, 1, 11, 3, 27, 103, 113, 251, 731, 481, 2771, 3205, 14151, 19403, 30307, 114691, 0};
static int joe_kuo_d6_initial_number10106[] = {1, 1, 5, 15, 19, 15, 103, 25, 357, 197, 1437, 3621, 4747, 773, 5769, 33465, 28307, 0};
static int joe_kuo_d6_initial_number10107[] = {1, 1, 5, 15, 5, 17, 89, 87, 423, 611, 549, 2549, 1275, 14545, 2931, 3853, 24577, 0};
static int joe_kuo_d6_initial_number10108[] = {1, 3, 5, 1, 15, 13, 29, 49, 279, 495, 697, 1015, 4899, 15977, 10765, 47979, 40237, 0};
static int joe_kuo_d6_initial_number10109[] = {1, 3, 3, 9, 31, 51, 21, 5, 279, 947, 1871, 3075, 5433, 1631, 30075, 30517, 99609, 0};
static int joe_kuo_d6_initial_number10110[] = {1, 1, 1, 15, 19, 63, 79, 81, 19, 629, 617, 1887, 4015, 15501, 10551, 56419, 108739, 0};
static int joe_kuo_d6_initial_number10111[] = {1, 1, 3, 9, 31, 15, 45, 37, 43, 349, 1357, 189, 4551, 9363, 15683, 48445, 89279, 0};
static int joe_kuo_d6_initial_number10112[] = {1, 1, 1, 1, 17, 19, 121, 119, 397, 947, 1797, 613, 1627, 9591, 15779, 62295, 118843, 0};
static int joe_kuo_d6_initial_number10113[] = {1, 1, 1, 7, 25, 55, 71, 227, 507, 497, 1209, 2919, 5733, 15785, 21437, 40043, 2325, 0};
static int joe_kuo_d6_initial_number10114[] = {1, 1, 1, 15, 11, 1, 59, 93, 69, 859, 67, 1831, 6345, 5643, 29515, 20337, 77281, 0};
static int joe_kuo_d6_initial_number10115[] = {1, 3, 5, 9, 19, 53, 59, 63, 161, 853, 697, 1441, 3457, 951, 29659, 15337, 38443, 0};
static int joe_kuo_d6_initial_number10116[] = {1, 3, 1, 9, 7, 21, 73, 81, 89, 291, 411, 3793, 4639, 2829, 6855, 38113, 32875, 0};
static int joe_kuo_d6_initial_number10117[] = {1, 1, 7, 1, 15, 3, 79, 35, 363, 459, 907, 1157, 5165, 8021, 10135, 36367, 111991, 0};
static int joe_kuo_d6_initial_number10118[] = {1, 3, 5, 13, 21, 23, 63, 155, 393, 869, 1553, 3345, 2711, 8249, 24907, 28111, 36667, 0};
static int joe_kuo_d6_initial_number10119[] = {1, 1, 7, 11, 15, 25, 29, 93, 45, 637, 1473, 2053, 313, 8047, 23411, 8643, 2925, 0};
static int joe_kuo_d6_initial_number10120[] = {1, 3, 7, 9, 11, 5, 73, 69, 311, 949, 2017, 259, 2861, 10547, 12017, 34125, 74101, 0};
static int joe_kuo_d6_initial_number10121[] = {1, 3, 1, 13, 19, 61, 115, 59, 447, 787, 1621, 2221, 7841, 5329, 18137, 13857, 51889, 0};
static int joe_kuo_d6_initial_number10122[] = {1, 3, 7, 13, 1, 23, 117, 49, 449, 541, 7, 3269, 1725, 6677, 15979, 4319, 40919, 0};
static int joe_kuo_d6_initial_number10123[] = {1, 3, 5, 5, 17, 29, 35, 123, 3, 481, 305, 1589, 4319, 5183, 31907, 53019, 49375, 0};
static int joe_kuo_d6_initial_number10124[] = {1, 3, 1, 7, 11, 59, 79, 89, 479, 821, 763, 3597, 7457, 13775, 11213, 22777, 80379, 0};
static int joe_kuo_d6_initial_number10125[] = {1, 1, 3, 7, 13, 17, 65, 155, 335, 671, 331, 895, 7459, 1719, 10675, 60109, 63143, 0};
static int joe_kuo_d6_initial_number10126[] = {1, 3, 5, 1, 29, 33, 105, 249, 61, 469, 1629, 3777, 4393, 14457, 11701, 6065, 2635, 0};
static int joe_kuo_d6_initial_number10127[] = {1, 3, 7, 3, 13, 13, 21, 15, 363, 63, 1263, 1479, 1459, 6577, 7481, 30393, 19831, 0};
static int joe_kuo_d6_initial_number10128[] = {1, 1, 3, 7, 29, 25, 71, 247, 501, 815, 1697, 2457, 4975, 3821, 25759, 24901, 120603, 0};
static int joe_kuo_d6_initial_number10129[] = {1, 1, 1, 5, 19, 3, 59, 163, 367, 779, 47, 905, 897, 3293, 13951, 25497, 99151, 0};
static int joe_kuo_d6_initial_number10130[] = {1, 3, 1, 5, 11, 47, 21, 171, 123, 215, 1797, 3741, 4921, 7213, 4847, 3239, 114839, 0};
static int joe_kuo_d6_initial_number10131[] = {1, 3, 3, 5, 23, 63, 57, 31, 409, 431, 1337, 3301, 4695, 7401, 9383, 12639, 34347, 0};
static int joe_kuo_d6_initial_number10132[] = {1, 3, 3, 5, 27, 57, 29, 147, 111, 1015, 815, 1509, 3967, 7255, 15109, 26001, 90775, 0};
static int joe_kuo_d6_initial_number10133[] = {1, 1, 7, 13, 31, 45, 21, 99, 377, 399, 255, 459, 6043, 11055, 5675, 3333, 32813, 0};
static int joe_kuo_d6_initial_number10134[] = {1, 3, 1, 7, 1, 55, 121, 77, 429, 433, 297, 3181, 3029, 6777, 22795, 61515, 58553, 0};
static int joe_kuo_d6_initial_number10135[] = {1, 3, 5, 9, 1, 19, 121, 1, 499, 589, 1597, 2219, 1029, 4223, 31613, 45685, 53517, 0};
static int joe_kuo_d6_initial_number10136[] = {1, 3, 1, 9, 29, 39, 83, 193, 43, 41, 467, 1711, 2761, 10635, 15503, 38043, 120615, 0};
static int joe_kuo_d6_initial_number10137[] = {1, 1, 7, 13, 27, 61, 1, 181, 163, 613, 221, 63, 6147, 8215, 15093, 2417, 71489, 0};
static int joe_kuo_d6_initial_number10138[] = {1, 1, 7, 15, 31, 63, 47, 139, 427, 847, 53, 1275, 1019, 9455, 12537, 22467, 129947, 0};
static int joe_kuo_d6_initial_number10139[] = {1, 1, 5, 3, 7, 1, 67, 189, 501, 319, 37, 2849, 2535, 10917, 11115, 48083, 67255, 0};
static int joe_kuo_d6_initial_number10140[] = {1, 1, 3, 13, 7, 31, 69, 137, 19, 73, 1553, 3945, 2381, 8761, 3977, 24291, 128189, 0};
static int joe_kuo_d6_initial_number10141[] = {1, 3, 5, 11, 1, 59, 43, 229, 301, 771, 559, 195, 1675, 12605, 22211, 2915, 90351, 0};
static int joe_kuo_d6_initial_number10142[] = {1, 3, 3, 9, 13, 27, 97, 33, 273, 229, 1537, 1179, 6985, 11679, 17889, 44673, 126641, 0};
static int joe_kuo_d6_initial_number10143[] = {1, 1, 7, 3, 31, 29, 41, 123, 491, 639, 269, 45, 2155, 14103, 6725, 50781, 42785, 0};
static int joe_kuo_d6_initial_number10144[] = {1, 3, 5, 9, 9, 11, 89, 249, 475, 701, 1029, 985, 8167, 439, 31897, 24529, 45759, 0};
static int joe_kuo_d6_initial_number10145[] = {1, 1, 5, 11, 9, 39, 127, 179, 15, 135, 1437, 3331, 5553, 939, 15319, 64937, 110783, 0};
static int joe_kuo_d6_initial_number10146[] = {1, 3, 1, 5, 7, 61, 1, 219, 111, 801, 85, 3427, 2533, 12861, 5395, 28969, 48091, 0};
static int joe_kuo_d6_initial_number10147[] = {1, 1, 1, 9, 23, 57, 77, 41, 61, 635, 457, 231, 8121, 5349, 27021, 64807, 87563, 0};
static int joe_kuo_d6_initial_number10148[] = {1, 3, 5, 7, 31, 31, 101, 155, 255, 199, 1973, 903, 7681, 15379, 12845, 47943, 60663, 0};
static int joe_kuo_d6_initial_number10149[] = {1, 1, 5, 7, 1, 7, 71, 121, 323, 669, 193, 1209, 267, 9, 21223, 22037, 121567, 0};
static int joe_kuo_d6_initial_number10150[] = {1, 3, 1, 5, 17, 29, 97, 189, 219, 813, 187, 1763, 5817, 13185, 467, 40159, 18037, 0};
static int joe_kuo_d6_initial_number10151[] = {1, 1, 7, 9, 7, 59, 3, 189, 379, 843, 631, 3945, 2909, 4191, 30343, 11223, 105629, 0};
static int joe_kuo_d6_initial_number10152[] = {1, 3, 1, 3, 15, 17, 23, 73, 439, 699, 657, 451, 6139, 15869, 4101, 32327, 55485, 0};
static int joe_kuo_d6_initial_number10153[] = {1, 3, 3, 5, 21, 37, 87, 157, 205, 493, 705, 1539, 2193, 13539, 2797, 49063, 55595, 0};
static int joe_kuo_d6_initial_number10154[] = {1, 1, 5, 11, 11, 41, 5, 131, 445, 781, 1153, 1371, 6763, 3101, 32449, 16065, 86579, 0};
static int joe_kuo_d6_initial_number10155[] = {1, 3, 5, 1, 23, 51, 97, 87, 161, 261, 269, 2035, 2139, 3049, 32217, 25189, 93571, 0};
static int joe_kuo_d6_initial_number10156[] = {1, 3, 1, 11, 23, 1, 111, 45, 19, 19, 1767, 3571, 6027, 3593, 17453, 53821, 28121, 0};
static int joe_kuo_d6_initial_number10157[] = {1, 3, 3, 5, 17, 5, 17, 247, 5, 73, 29, 443, 7713, 15803, 22311, 56755, 100119, 0};
static int joe_kuo_d6_initial_number10158[] = {1, 3, 1, 13, 7, 1, 41, 139, 317, 977, 1529, 1217, 529, 3231, 21491, 28461, 96699, 0};
static int joe_kuo_d6_initial_number10159[] = {1, 3, 1, 13, 11, 41, 103, 99, 81, 849, 231, 1729, 761, 711, 11499, 25581, 59433, 0};
static int joe_kuo_d6_initial_number10160[] = {1, 1, 5, 5, 13, 33, 79, 175, 89, 29, 295, 2867, 1197, 6137, 32063, 23471, 21721, 0};
static int joe_kuo_d6_initial_number10161[] = {1, 1, 5, 15, 17, 29, 123, 249, 273, 437, 443, 2601, 3957, 11955, 261, 54863, 85727, 0};
static int joe_kuo_d6_initial_number10162[] = {1, 1, 5, 13, 3, 31, 57, 205, 3, 903, 905, 3851, 757, 13761, 28615, 48185, 33227, 0};
static int joe_kuo_d6_initial_number10163[] = {1, 3, 7, 1, 1, 1, 107, 15, 307, 405, 45, 297, 4365, 1569, 9263, 13685, 36027, 0};
static int joe_kuo_d6_initial_number10164[] = {1, 3, 1, 9, 17, 61, 113, 121, 249, 743, 191, 2523, 6621, 5395, 23797, 57975, 51675, 0};
static int joe_kuo_d6_initial_number10165[] = {1, 3, 5, 3, 27, 21, 49, 113, 59, 989, 501, 2651, 3827, 5121, 29667, 32903, 84199, 0};
static int joe_kuo_d6_initial_number10166[] = {1, 1, 7, 7, 19, 43, 11, 191, 143, 93, 1167, 2521, 2569, 12187, 28575, 13073, 113545, 0};
static int joe_kuo_d6_initial_number10167[] = {1, 1, 7, 3, 27, 39, 11, 85, 61, 979, 49, 2191, 2607, 13967, 28123, 48903, 16327, 0};
static int joe_kuo_d6_initial_number10168[] = {1, 1, 5, 3, 17, 17, 1, 149, 189, 1017, 705, 3119, 6441, 1595, 30533, 18795, 34265, 0};
static int joe_kuo_d6_initial_number10169[] = {1, 1, 3, 11, 31, 11, 125, 109, 39, 41, 191, 2615, 1377, 16089, 8793, 31425, 90507, 0};
static int joe_kuo_d6_initial_number10170[] = {1, 1, 1, 1, 23, 15, 21, 245, 337, 649, 585, 2893, 927, 883, 15119, 2595, 127963, 0};
static int joe_kuo_d6_initial_number10171[] = {1, 3, 5, 3, 13, 17, 123, 167, 471, 5, 1671, 2787, 5081, 12903, 4257, 19213, 2503, 0};
static int joe_kuo_d6_initial_number10172[] = {1, 1, 5, 7, 21, 57, 75, 171, 509, 591, 85, 407, 1747, 6375, 19641, 55683, 111289, 0};
static int joe_kuo_d6_initial_number10173[] = {1, 1, 7, 7, 3, 31, 121, 111, 19, 361, 1033, 4033, 2359, 13451, 15095, 61817, 69683, 0};
static int joe_kuo_d6_initial_number10174[] = {1, 1, 5, 9, 21, 33, 83, 179, 387, 69, 1085, 2147, 2751, 10899, 16971, 40623, 110891, 0};
static int joe_kuo_d6_initial_number10175[] = {1, 1, 7, 9, 11, 45, 81, 71, 73, 551, 145, 159, 7519, 3459, 5197, 48913, 59045, 0};
static int joe_kuo_d6_initial_number10176[] = {1, 3, 1, 3, 7, 35, 17, 249, 207, 767, 1189, 1451, 4351, 3673, 28807, 671, 69271, 0};
static int joe_kuo_d6_initial_number10177[] = {1, 3, 1, 15, 21, 27, 81, 243, 55, 191, 1497, 3205, 1601, 705, 14891, 14403, 130729, 0};
static int joe_kuo_d6_initial_number10178[] = {1, 3, 1, 7, 17, 43, 41, 123, 507, 201, 1873, 3547, 5681, 1819, 4251, 39661, 57923, 0};
static int joe_kuo_d6_initial_number10179[] = {1, 3, 1, 9, 3, 59, 57, 235, 445, 479, 961, 1937, 2229, 2511, 15235, 59707, 72261, 0};
static int joe_kuo_d6_initial_number10180[] = {1, 1, 5, 13, 9, 63, 67, 217, 63, 259, 175, 2469, 3075, 12365, 7727, 42215, 12635, 0};
static int joe_kuo_d6_initial_number10181[] = {1, 1, 3, 13, 11, 9, 125, 131, 17, 399, 675, 767, 7349, 10433, 21615, 46823, 3955, 0};
static int joe_kuo_d6_initial_number10182[] = {1, 1, 3, 15, 19, 53, 73, 171, 125, 531, 1093, 1449, 2931, 10897, 12263, 9799, 98251, 0};
static int joe_kuo_d6_initial_number10183[] = {1, 1, 5, 5, 11, 27, 33, 9, 503, 545, 339, 1099, 1973, 13261, 26871, 14569, 22755, 0};
static int joe_kuo_d6_initial_number10184[] = {1, 3, 7, 1, 19, 5, 79, 133, 247, 1021, 1431, 3707, 4603, 3285, 5469, 46963, 98203, 0};
static int joe_kuo_d6_initial_number10185[] = {1, 3, 5, 7, 15, 11, 87, 169, 495, 763, 1295, 2533, 4213, 8671, 21683, 12521, 90071, 0};
static int joe_kuo_d6_initial_number10186[] = {1, 1, 3, 1, 17, 55, 7, 165, 313, 659, 49, 377, 6675, 15255, 9881, 11751, 87789, 0};
static int joe_kuo_d6_initial_number10187[] = {1, 3, 1, 15, 3, 49, 27, 109, 145, 1011, 1939, 3201, 6141, 7229, 20741, 59285, 129365, 0};
static int joe_kuo_d6_initial_number10188[] = {1, 1, 5, 5, 5, 51, 117, 17, 363, 795, 1343, 2637, 6209, 1045, 22515, 10687, 48487, 0};
static int joe_kuo_d6_initial_number10189[] = {1, 1, 5, 15, 1, 37, 91, 241, 245, 703, 505, 3369, 6163, 10265, 12497, 46301, 109523, 0};
static int joe_kuo_d6_initial_number10190[] = {1, 1, 7, 11, 3, 37, 67, 35, 229, 823, 193, 913, 3331, 4475, 9271, 11859, 52709, 0};
static int joe_kuo_d6_initial_number10191[] = {1, 1, 3, 3, 7, 25, 61, 159, 81, 1011, 1491, 1439, 1031, 765, 9839, 61891, 20969, 0};
static int joe_kuo_d6_initial_number10192[] = {1, 3, 3, 7, 25, 39, 73, 59, 101, 101, 225, 1105, 5943, 5223, 12585, 16411, 62699, 0};
static int joe_kuo_d6_initial_number10193[] = {1, 1, 7, 5, 25, 19, 27, 113, 465, 319, 2035, 2127, 1319, 11793, 26821, 44805, 28217, 0};
static int joe_kuo_d6_initial_number10194[] = {1, 3, 5, 11, 7, 9, 81, 107, 67, 31, 1503, 3303, 4451, 11417, 32681, 26861, 54845, 0};
static int joe_kuo_d6_initial_number10195[] = {1, 3, 1, 1, 3, 51, 93, 235, 93, 247, 2027, 1517, 6797, 1703, 10233, 45313, 60771, 0};
static int joe_kuo_d6_initial_number10196[] = {1, 3, 3, 15, 25, 11, 83, 77, 413, 189, 119, 597, 2199, 12347, 7935, 40191, 125569, 0};
static int joe_kuo_d6_initial_number10197[] = {1, 3, 7, 9, 11, 3, 77, 31, 89, 163, 1993, 3017, 3973, 10943, 22247, 45565, 7261, 0};
static int joe_kuo_d6_initial_number10198[] = {1, 3, 7, 7, 15, 13, 7, 155, 373, 893, 607, 3521, 7455, 13809, 6145, 31743, 86329, 0};
static int joe_kuo_d6_initial_number10199[] = {1, 1, 1, 15, 25, 41, 111, 65, 11, 627, 59, 2725, 995, 3761, 25361, 45189, 48355, 0};
static int joe_kuo_d6_initial_number10200[] = {1, 1, 7, 5, 29, 43, 91, 139, 323, 503, 679, 4079, 403, 1899, 1425, 26989, 117057, 0};
static int joe_kuo_d6_initial_number10201[] = {1, 3, 5, 13, 1, 17, 19, 61, 205, 833, 345, 1031, 7995, 999, 27469, 15943, 88011, 0};
static int joe_kuo_d6_initial_number10202[] = {1, 3, 1, 7, 23, 49, 123, 9, 11, 761, 1163, 669, 3837, 15225, 23393, 19513, 9457, 0};
static int joe_kuo_d6_initial_number10203[] = {1, 1, 5, 9, 9, 33, 29, 123, 277, 433, 1799, 1583, 3133, 13461, 26443, 15807, 80173, 0};
static int joe_kuo_d6_initial_number10204[] = {1, 3, 7, 3, 31, 29, 77, 105, 297, 617, 491, 647, 6541, 5033, 31841, 48405, 126985, 0};
static int joe_kuo_d6_initial_number10205[] = {1, 1, 5, 5, 31, 39, 17, 25, 3, 279, 89, 3985, 3333, 5681, 3701, 36319, 12585, 0};
static int joe_kuo_d6_initial_number10206[] = {1, 1, 7, 13, 13, 19, 93, 129, 51, 875, 1083, 1739, 5193, 6217, 10033, 51839, 66071, 0};
static int joe_kuo_d6_initial_number10207[] = {1, 1, 7, 9, 15, 23, 93, 121, 507, 115, 707, 3181, 1521, 9609, 4577, 54389, 19167, 0};
static int joe_kuo_d6_initial_number10208[] = {1, 3, 3, 7, 17, 51, 19, 29, 387, 711, 1105, 1627, 4421, 15183, 14149, 26485, 106425, 0};
static int joe_kuo_d6_initial_number10209[] = {1, 3, 3, 15, 25, 59, 11, 45, 259, 1019, 1997, 3373, 5083, 5701, 30217, 44845, 67559, 0};
static int joe_kuo_d6_initial_number10210[] = {1, 3, 3, 9, 17, 47, 5, 103, 477, 785, 235, 1523, 1505, 8811, 15255, 53493, 4383, 0};
static int joe_kuo_d6_initial_number10211[] = {1, 3, 7, 3, 7, 37, 73, 247, 397, 409, 1065, 525, 5665, 8533, 30627, 19035, 22937, 0};
static int joe_kuo_d6_initial_number10212[] = {1, 3, 3, 15, 15, 47, 123, 215, 413, 249, 55, 2563, 8033, 8743, 18659, 7947, 56057, 0};
static int joe_kuo_d6_initial_number10213[] = {1, 1, 7, 3, 11, 61, 103, 109, 313, 293, 149, 999, 901, 13387, 15351, 52973, 68385, 0};
static int joe_kuo_d6_initial_number10214[] = {1, 1, 1, 5, 31, 13, 57, 43, 263, 141, 335, 2777, 3435, 4231, 20623, 2597, 33481, 0};
static int joe_kuo_d6_initial_number10215[] = {1, 1, 7, 13, 21, 53, 101, 75, 237, 275, 1903, 3501, 8023, 3651, 19609, 44417, 60287, 0};
static int joe_kuo_d6_initial_number10216[] = {1, 1, 1, 1, 13, 43, 83, 255, 355, 567, 1781, 2943, 1061, 2701, 24861, 58381, 60255, 0};
static int joe_kuo_d6_initial_number10217[] = {1, 1, 3, 9, 25, 5, 81, 85, 445, 857, 517, 3687, 2641, 6699, 19273, 4481, 8715, 0};
static int joe_kuo_d6_initial_number10218[] = {1, 1, 3, 7, 17, 39, 33, 31, 29, 269, 379, 3149, 4731, 10387, 7941, 49199, 18423, 0};
static int joe_kuo_d6_initial_number10219[] = {1, 1, 7, 15, 19, 37, 105, 157, 185, 1023, 1865, 53, 6765, 3, 22897, 17019, 109521, 0};
static int joe_kuo_d6_initial_number10220[] = {1, 3, 7, 5, 5, 7, 117, 211, 19, 149, 1091, 3721, 201, 4455, 18965, 51401, 67225, 0};
static int joe_kuo_d6_initial_number10221[] = {1, 3, 5, 11, 1, 55, 101, 41, 469, 271, 1251, 949, 861, 11903, 14773, 25675, 114161, 0};
static int joe_kuo_d6_initial_number10222[] = {1, 1, 7, 7, 23, 13, 103, 185, 137, 575, 797, 1195, 5301, 13307, 12043, 26003, 31719, 0};
static int joe_kuo_d6_initial_number10223[] = {1, 1, 5, 7, 11, 51, 17, 71, 321, 559, 1461, 3571, 1033, 15575, 7097, 14703, 52359, 0};
static int joe_kuo_d6_initial_number10224[] = {1, 1, 1, 5, 21, 9, 123, 211, 233, 81, 111, 1433, 7825, 11771, 30743, 23993, 48717, 0};
static int joe_kuo_d6_initial_number10225[] = {1, 3, 5, 15, 7, 3, 109, 33, 99, 135, 393, 3463, 7271, 14387, 30723, 19079, 83073, 0};
static int joe_kuo_d6_initial_number10226[] = {1, 3, 3, 15, 3, 51, 77, 219, 409, 11, 67, 3787, 5155, 9259, 7185, 21611, 32577, 0};
static int joe_kuo_d6_initial_number10227[] = {1, 3, 7, 1, 5, 49, 125, 85, 151, 301, 887, 1765, 5, 12849, 11775, 11319, 29547, 0};
static int joe_kuo_d6_initial_number10228[] = {1, 1, 7, 11, 17, 15, 105, 29, 327, 637, 1493, 3361, 1823, 14709, 18355, 741, 57807, 0};
static int joe_kuo_d6_initial_number10229[] = {1, 1, 7, 7, 3, 27, 15, 113, 227, 617, 1543, 1719, 8065, 13627, 23525, 20511, 64759, 0};
static int joe_kuo_d6_initial_number10230[] = {1, 1, 3, 3, 21, 47, 89, 177, 381, 711, 1367, 2405, 887, 2351, 22957, 49679, 5963, 0};
static int joe_kuo_d6_initial_number10231[] = {1, 3, 7, 9, 7, 1, 39, 71, 9, 275, 875, 1385, 6215, 10419, 25921, 63427, 18031, 0};
static int joe_kuo_d6_initial_number10232[] = {1, 1, 7, 5, 23, 57, 27, 7, 445, 111, 953, 37, 2769, 1967, 8165, 35417, 36471, 0};
static int joe_kuo_d6_initial_number10233[] = {1, 3, 3, 11, 23, 17, 119, 113, 275, 625, 1957, 2795, 3815, 7937, 11049, 31939, 128053, 0};
static int joe_kuo_d6_initial_number10234[] = {1, 3, 3, 5, 7, 35, 45, 41, 251, 491, 1953, 3201, 751, 5705, 595, 27003, 77917, 0};
static int joe_kuo_d6_initial_number10235[] = {1, 3, 5, 3, 25, 17, 55, 137, 299, 541, 289, 2225, 4667, 3569, 13687, 36193, 75705, 0};
static int joe_kuo_d6_initial_number10236[] = {1, 1, 7, 15, 21, 9, 27, 157, 469, 441, 193, 2097, 4863, 2147, 31197, 24283, 102039, 0};
static int joe_kuo_d6_initial_number10237[] = {1, 1, 1, 11, 17, 39, 73, 37, 91, 121, 1283, 367, 1875, 14365, 28349, 60993, 10791, 0};
static int joe_kuo_d6_initial_number10238[] = {1, 3, 5, 9, 13, 63, 89, 53, 459, 347, 343, 2321, 5237, 2497, 279, 63833, 10709, 0};
static int joe_kuo_d6_initial_number10239[] = {1, 1, 1, 15, 11, 23, 41, 79, 45, 567, 1217, 1669, 1679, 2561, 16191, 49041, 4081, 0};
static int joe_kuo_d6_initial_number10240[] = {1, 3, 1, 5, 3, 9, 103, 245, 47, 561, 229, 2945, 6563, 797, 21571, 25769, 12995, 0};
static int joe_kuo_d6_initial_number10241[] = {1, 3, 5, 7, 5, 47, 99, 55, 49, 951, 765, 2095, 8021, 4389, 20501, 26047, 119967, 0};
static int joe_kuo_d6_initial_number10242[] = {1, 1, 5, 3, 15, 47, 81, 121, 379, 527, 419, 1093, 367, 10939, 17181, 13905, 49859, 0};
static int joe_kuo_d6_initial_number10243[] = {1, 3, 3, 5, 7, 59, 53, 255, 131, 685, 1677, 3757, 3601, 89, 6225, 32705, 28287, 0};
static int joe_kuo_d6_initial_number10244[] = {1, 3, 7, 1, 7, 55, 85, 47, 425, 793, 605, 2313, 791, 4247, 9693, 10633, 82915, 0};
static int joe_kuo_d6_initial_number10245[] = {1, 3, 5, 13, 13, 49, 127, 213, 27, 657, 419, 55, 6289, 295, 4211, 8899, 120237, 0};
static int joe_kuo_d6_initial_number10246[] = {1, 1, 7, 11, 11, 7, 75, 35, 315, 125, 517, 3677, 2323, 6897, 11535, 36789, 20179, 0};
static int joe_kuo_d6_initial_number10247[] = {1, 1, 5, 9, 11, 3, 77, 43, 323, 647, 383, 485, 3937, 9081, 27745, 59149, 103433, 0};
static int joe_kuo_d6_initial_number10248[] = {1, 3, 3, 13, 3, 47, 91, 81, 115, 625, 2003, 3601, 531, 113, 20719, 47391, 111039, 0};
static int joe_kuo_d6_initial_number10249[] = {1, 1, 3, 13, 5, 49, 123, 189, 109, 325, 497, 923, 3861, 14029, 22651, 19857, 104801, 0};
static int joe_kuo_d6_initial_number10250[] = {1, 1, 5, 3, 29, 23, 25, 23, 501, 371, 1983, 1303, 2261, 11865, 13281, 2587, 75741, 0};
static int joe_kuo_d6_initial_number10251[] = {1, 3, 5, 13, 27, 61, 45, 11, 157, 615, 897, 1529, 2213, 757, 30105, 2011, 27267, 0};
static int joe_kuo_d6_initial_number10252[] = {1, 3, 5, 13, 29, 31, 95, 159, 449, 307, 1575, 1897, 2301, 14023, 6921, 30543, 31843, 0};
static int joe_kuo_d6_initial_number10253[] = {1, 3, 3, 5, 1, 1, 79, 147, 437, 623, 1161, 3407, 3073, 15425, 4329, 19651, 90597, 0};
static int joe_kuo_d6_initial_number10254[] = {1, 1, 1, 11, 17, 7, 43, 171, 447, 841, 573, 3775, 5517, 3629, 18241, 31907, 51423, 0};
static int joe_kuo_d6_initial_number10255[] = {1, 1, 3, 7, 15, 53, 111, 203, 171, 963, 1983, 2017, 6067, 12281, 3417, 7431, 33803, 0};
static int joe_kuo_d6_initial_number10256[] = {1, 3, 1, 1, 31, 49, 125, 65, 7, 579, 1709, 1815, 2643, 11537, 30093, 11813, 65157, 0};
static int joe_kuo_d6_initial_number10257[] = {1, 3, 7, 15, 1, 3, 61, 21, 163, 809, 1263, 2577, 7811, 12611, 6921, 18529, 25709, 0};
static int joe_kuo_d6_initial_number10258[] = {1, 1, 3, 5, 17, 43, 13, 81, 29, 905, 1975, 589, 5875, 15683, 29447, 46453, 127911, 0};
static int joe_kuo_d6_initial_number10259[] = {1, 1, 5, 3, 19, 29, 11, 67, 375, 771, 755, 3939, 1465, 3275, 1119, 24695, 105105, 0};
static int joe_kuo_d6_initial_number10260[] = {1, 1, 3, 11, 23, 37, 33, 135, 329, 733, 245, 2353, 2547, 7823, 16265, 5975, 37877, 0};
static int joe_kuo_d6_initial_number10261[] = {1, 3, 7, 13, 15, 9, 47, 181, 239, 723, 1219, 409, 1685, 5493, 14189, 18107, 26231, 0};
static int joe_kuo_d6_initial_number10262[] = {1, 1, 5, 1, 9, 1, 65, 125, 439, 591, 1499, 3797, 5879, 4231, 18655, 9643, 42265, 0};
static int joe_kuo_d6_initial_number10263[] = {1, 1, 7, 7, 11, 51, 111, 47, 169, 39, 45, 2211, 6729, 10987, 22367, 27257, 112711, 0};
static int joe_kuo_d6_initial_number10264[] = {1, 3, 5, 3, 19, 61, 89, 185, 23, 793, 1457, 1743, 3743, 15063, 14053, 50201, 109175, 0};
static int joe_kuo_d6_initial_number10265[] = {1, 1, 5, 13, 31, 51, 69, 135, 427, 527, 1673, 2393, 5829, 683, 1509, 56617, 105735, 0};
static int joe_kuo_d6_initial_number10266[] = {1, 1, 1, 15, 31, 51, 3, 105, 125, 593, 1589, 3217, 7449, 525, 30599, 11689, 14781, 0};
static int joe_kuo_d6_initial_number10267[] = {1, 1, 1, 11, 9, 37, 113, 45, 487, 961, 87, 1461, 3521, 8645, 19771, 43817, 43277, 0};
static int joe_kuo_d6_initial_number10268[] = {1, 1, 7, 3, 7, 11, 45, 97, 11, 593, 319, 2597, 37, 4157, 6669, 29929, 17213, 0};
static int joe_kuo_d6_initial_number10269[] = {1, 3, 7, 3, 29, 21, 101, 93, 289, 975, 1937, 3423, 757, 7075, 12575, 26801, 90989, 0};
static int joe_kuo_d6_initial_number10270[] = {1, 1, 7, 15, 25, 49, 49, 149, 503, 365, 1359, 2155, 7977, 14955, 18439, 44269, 88995, 0};
static int joe_kuo_d6_initial_number10271[] = {1, 3, 7, 13, 25, 27, 15, 67, 157, 873, 339, 2143, 1405, 12209, 30939, 36109, 107699, 0};
static int joe_kuo_d6_initial_number10272[] = {1, 3, 5, 5, 21, 33, 121, 95, 61, 159, 1423, 2899, 3811, 263, 9139, 54481, 107375, 0};
static int joe_kuo_d6_initial_number10273[] = {1, 1, 7, 7, 13, 49, 83, 53, 267, 131, 673, 3945, 5255, 2009, 21017, 41749, 44817, 0};
static int joe_kuo_d6_initial_number10274[] = {1, 3, 1, 13, 25, 57, 125, 5, 323, 653, 221, 2013, 7225, 8719, 28049, 41953, 14725, 0};
static int joe_kuo_d6_initial_number10275[] = {1, 3, 7, 7, 5, 13, 35, 161, 221, 951, 769, 717, 267, 2233, 23387, 47411, 95739, 0};
static int joe_kuo_d6_initial_number10276[] = {1, 3, 7, 11, 23, 47, 37, 67, 501, 159, 763, 4045, 5125, 5667, 9895, 33041, 101171, 0};
static int joe_kuo_d6_initial_number10277[] = {1, 1, 7, 1, 31, 31, 111, 183, 33, 895, 1819, 3593, 1285, 10145, 3679, 36615, 82863, 0};
static int joe_kuo_d6_initial_number10278[] = {1, 3, 5, 7, 21, 59, 55, 163, 139, 855, 1903, 3229, 3745, 10289, 28831, 46895, 12647, 0};
static int joe_kuo_d6_initial_number10279[] = {1, 3, 7, 9, 25, 31, 113, 177, 459, 201, 565, 2089, 725, 9273, 26249, 5987, 49573, 0};
static int joe_kuo_d6_initial_number10280[] = {1, 1, 7, 15, 3, 37, 49, 145, 121, 803, 1197, 2797, 21, 833, 2277, 28189, 93171, 0};
static int joe_kuo_d6_initial_number10281[] = {1, 1, 7, 7, 13, 31, 93, 153, 345, 363, 1825, 1481, 3347, 13277, 26119, 63153, 118231, 0};
static int joe_kuo_d6_initial_number10282[] = {1, 3, 1, 11, 31, 9, 33, 95, 433, 595, 1131, 465, 1797, 15453, 32527, 40789, 37799, 0};
static int joe_kuo_d6_initial_number10283[] = {1, 1, 5, 11, 31, 29, 83, 33, 243, 633, 1325, 3843, 7717, 851, 29789, 48827, 89209, 0};
static int joe_kuo_d6_initial_number10284[] = {1, 1, 3, 7, 25, 31, 127, 219, 281, 51, 1843, 3363, 5985, 1697, 3083, 18967, 117421, 0};
static int joe_kuo_d6_initial_number10285[] = {1, 3, 7, 9, 1, 19, 125, 199, 41, 117, 903, 1131, 7731, 14431, 24753, 62841, 50251, 0};
static int joe_kuo_d6_initial_number10286[] = {1, 3, 5, 5, 11, 37, 19, 249, 97, 59, 1849, 1151, 2171, 1217, 31277, 26547, 86601, 0};
static int joe_kuo_d6_initial_number10287[] = {1, 3, 3, 7, 29, 35, 21, 7, 93, 971, 1155, 1847, 89, 6759, 29611, 40793, 88327, 0};
static int joe_kuo_d6_initial_number10288[] = {1, 3, 5, 5, 29, 23, 91, 71, 479, 943, 1839, 3699, 2491, 9603, 15061, 43221, 20435, 0};
static int joe_kuo_d6_initial_number10289[] = {1, 3, 3, 7, 29, 11, 15, 83, 21, 585, 501, 161, 4797, 11243, 14879, 12519, 19069, 0};
static int joe_kuo_d6_initial_number10290[] = {1, 1, 5, 15, 13, 37, 9, 215, 433, 925, 987, 3253, 8027, 7013, 20801, 12891, 36497, 0};
static int joe_kuo_d6_initial_number10291[] = {1, 3, 7, 1, 15, 31, 95, 85, 355, 1013, 1963, 2943, 1925, 13691, 15237, 28943, 63873, 0};
static int joe_kuo_d6_initial_number10292[] = {1, 3, 3, 1, 17, 21, 99, 201, 465, 819, 665, 901, 2671, 2457, 29603, 35275, 28339, 0};
static int joe_kuo_d6_initial_number10293[] = {1, 1, 1, 9, 5, 23, 111, 107, 27, 433, 1341, 91, 6879, 1933, 25433, 37435, 99061, 0};
static int joe_kuo_d6_initial_number10294[] = {1, 3, 5, 13, 11, 55, 27, 151, 397, 591, 89, 1221, 5581, 2701, 15033, 41879, 71415, 0};
static int joe_kuo_d6_initial_number10295[] = {1, 3, 3, 5, 17, 35, 15, 119, 487, 903, 875, 3391, 7731, 12181, 27823, 32561, 59133, 0};
static int joe_kuo_d6_initial_number10296[] = {1, 1, 5, 7, 15, 33, 67, 53, 307, 947, 857, 2713, 803, 765, 4175, 15513, 23985, 0};
static int joe_kuo_d6_initial_number10297[] = {1, 3, 1, 15, 23, 11, 15, 101, 467, 429, 153, 3205, 5627, 7555, 22515, 12721, 7905, 0};
static int joe_kuo_d6_initial_number10298[] = {1, 1, 3, 7, 19, 61, 55, 187, 413, 49, 1031, 3415, 3903, 6933, 20017, 50429, 116407, 0};
static int joe_kuo_d6_initial_number10299[] = {1, 3, 1, 13, 13, 15, 33, 1, 403, 441, 1969, 775, 2209, 15061, 15657, 28819, 62705, 0};
static int joe_kuo_d6_initial_number10300[] = {1, 1, 5, 13, 13, 47, 67, 97, 87, 677, 1639, 3281, 1395, 8499, 18449, 49935, 25775, 0};
static int joe_kuo_d6_initial_number10301[] = {1, 3, 3, 13, 7, 13, 77, 45, 405, 881, 293, 2263, 6517, 15415, 25809, 5681, 31327, 0};
static int joe_kuo_d6_initial_number10302[] = {1, 3, 7, 5, 5, 51, 63, 171, 401, 671, 1631, 1735, 7361, 8741, 31933, 44761, 12209, 0};
static int joe_kuo_d6_initial_number10303[] = {1, 1, 7, 3, 13, 3, 39, 223, 105, 781, 241, 2895, 5165, 12135, 5683, 63009, 58399, 0};
static int joe_kuo_d6_initial_number10304[] = {1, 1, 5, 11, 29, 11, 37, 1, 445, 157, 219, 2269, 3025, 5721, 24539, 41879, 128445, 0};
static int joe_kuo_d6_initial_number10305[] = {1, 3, 7, 15, 23, 21, 125, 105, 141, 101, 1981, 3765, 5349, 13781, 10055, 7069, 77721, 0};
static int joe_kuo_d6_initial_number10306[] = {1, 1, 7, 9, 3, 37, 111, 95, 33, 53, 1021, 1629, 6945, 4657, 19977, 36715, 101401, 0};
static int joe_kuo_d6_initial_number10307[] = {1, 3, 3, 1, 9, 5, 65, 77, 459, 471, 1045, 2351, 2787, 13001, 16211, 22585, 116205, 0};
static int joe_kuo_d6_initial_number10308[] = {1, 1, 7, 9, 25, 41, 21, 187, 471, 997, 583, 2243, 6537, 11837, 21089, 51051, 98517, 0};
static int joe_kuo_d6_initial_number10309[] = {1, 1, 7, 5, 13, 15, 81, 39, 223, 935, 951, 5, 4315, 11789, 18365, 49647, 92461, 0};
static int joe_kuo_d6_initial_number10310[] = {1, 3, 3, 5, 11, 15, 97, 245, 43, 819, 1415, 3287, 2051, 15879, 21727, 54467, 53875, 0};
static int joe_kuo_d6_initial_number10311[] = {1, 3, 1, 11, 7, 47, 125, 155, 301, 469, 805, 3789, 6967, 12117, 30369, 55183, 12671, 0};
static int joe_kuo_d6_initial_number10312[] = {1, 1, 3, 13, 17, 25, 45, 199, 69, 1015, 581, 3891, 7743, 9273, 7639, 59055, 93923, 0};
static int joe_kuo_d6_initial_number10313[] = {1, 1, 5, 11, 9, 47, 39, 251, 489, 47, 83, 2147, 943, 1959, 21361, 5325, 106079, 0};
static int joe_kuo_d6_initial_number10314[] = {1, 3, 5, 13, 27, 59, 35, 1, 155, 367, 165, 2665, 3021, 1127, 28585, 45347, 66763, 0};
static int joe_kuo_d6_initial_number10315[] = {1, 3, 1, 5, 31, 31, 15, 125, 485, 581, 1987, 2293, 4573, 11431, 20773, 58661, 79869, 0};
static int joe_kuo_d6_initial_number10316[] = {1, 3, 5, 15, 31, 11, 109, 229, 11, 831, 1545, 919, 6125, 9337, 4169, 58041, 67577, 0};
static int joe_kuo_d6_initial_number10317[] = {1, 1, 1, 3, 1, 43, 13, 89, 89, 863, 1607, 1897, 4831, 5239, 24503, 51853, 126983, 0};
static int joe_kuo_d6_initial_number10318[] = {1, 1, 5, 11, 11, 37, 11, 253, 495, 83, 941, 3665, 5187, 13679, 11811, 29563, 80571, 0};
static int joe_kuo_d6_initial_number10319[] = {1, 3, 7, 15, 3, 45, 45, 157, 477, 321, 1401, 1133, 271, 12455, 31543, 18223, 116701, 0};
static int joe_kuo_d6_initial_number10320[] = {1, 1, 5, 3, 7, 5, 17, 127, 195, 583, 715, 3975, 6865, 7617, 6749, 15687, 42375, 0};
static int joe_kuo_d6_initial_number10321[] = {1, 1, 1, 7, 5, 7, 21, 163, 303, 45, 1435, 1345, 2489, 15333, 18459, 60837, 104339, 0};
static int joe_kuo_d6_initial_number10322[] = {1, 3, 1, 1, 7, 23, 39, 93, 347, 947, 345, 1713, 6383, 15411, 10849, 32559, 126431, 0};
static int joe_kuo_d6_initial_number10323[] = {1, 3, 1, 5, 19, 41, 119, 213, 3, 991, 1745, 3989, 155, 7761, 28179, 59805, 106759, 0};
static int joe_kuo_d6_initial_number10324[] = {1, 1, 7, 5, 25, 11, 105, 89, 505, 711, 1213, 2831, 8087, 8855, 31171, 49749, 921, 0};
static int joe_kuo_d6_initial_number10325[] = {1, 1, 5, 5, 23, 61, 49, 101, 209, 805, 123, 17, 805, 9033, 25753, 33261, 33753, 0};
static int joe_kuo_d6_initial_number10326[] = {1, 1, 3, 5, 5, 17, 93, 223, 179, 307, 869, 1851, 4313, 477, 12925, 21365, 103999, 0};
static int joe_kuo_d6_initial_number10327[] = {1, 1, 7, 13, 21, 23, 105, 53, 393, 939, 291, 2407, 4815, 4961, 30305, 8613, 62599, 0};
static int joe_kuo_d6_initial_number10328[] = {1, 1, 1, 11, 9, 55, 55, 135, 411, 225, 205, 3357, 4553, 10139, 17649, 51209, 94037, 0};
static int joe_kuo_d6_initial_number10329[] = {1, 3, 5, 15, 17, 17, 119, 15, 121, 581, 169, 2495, 3673, 7173, 13099, 7683, 53397, 0};
static int joe_kuo_d6_initial_number10330[] = {1, 3, 1, 11, 29, 29, 119, 255, 447, 85, 845, 1015, 2793, 2471, 12639, 32155, 99193, 0};
static int joe_kuo_d6_initial_number10331[] = {1, 3, 3, 3, 9, 33, 77, 251, 425, 1007, 1003, 2697, 4989, 7799, 26581, 15963, 50443, 0};
static int joe_kuo_d6_initial_number10332[] = {1, 3, 1, 5, 13, 47, 13, 203, 473, 529, 147, 2061, 343, 4029, 14615, 51355, 27863, 0};
static int joe_kuo_d6_initial_number10333[] = {1, 1, 3, 15, 19, 63, 39, 25, 241, 487, 461, 3021, 3545, 4537, 8991, 17689, 77131, 0};
static int joe_kuo_d6_initial_number10334[] = {1, 3, 5, 5, 7, 1, 61, 89, 495, 943, 1061, 405, 449, 12785, 25151, 24497, 65709, 0};
static int joe_kuo_d6_initial_number10335[] = {1, 1, 5, 3, 7, 43, 51, 55, 193, 615, 37, 1377, 2541, 3861, 29447, 32269, 106335, 0};
static int joe_kuo_d6_initial_number10336[] = {1, 1, 5, 11, 21, 55, 103, 43, 421, 673, 175, 979, 5175, 1301, 8617, 55875, 111095, 0};
static int joe_kuo_d6_initial_number10337[] = {1, 3, 5, 13, 29, 31, 33, 241, 129, 473, 201, 2015, 447, 99, 23781, 33517, 107851, 0};
static int joe_kuo_d6_initial_number10338[] = {1, 3, 5, 3, 13, 27, 125, 205, 287, 957, 1609, 2907, 5481, 14239, 19719, 22459, 75365, 0};
static int joe_kuo_d6_initial_number10339[] = {1, 3, 3, 5, 27, 23, 53, 39, 329, 381, 745, 517, 7853, 5333, 2773, 29119, 7049, 0};
static int joe_kuo_d6_initial_number10340[] = {1, 3, 5, 15, 29, 11, 89, 3, 503, 755, 485, 2669, 6737, 16241, 7345, 50991, 107291, 0};
static int joe_kuo_d6_initial_number10341[] = {1, 1, 7, 3, 17, 45, 11, 3, 157, 715, 577, 1309, 3323, 9401, 10573, 55135, 100067, 0};
static int joe_kuo_d6_initial_number10342[] = {1, 1, 5, 9, 19, 21, 49, 103, 349, 503, 1447, 675, 4273, 7673, 27507, 57697, 80875, 0};
static int joe_kuo_d6_initial_number10343[] = {1, 1, 5, 1, 9, 53, 19, 99, 225, 915, 431, 781, 3291, 4383, 26505, 50339, 99799, 0};
static int joe_kuo_d6_initial_number10344[] = {1, 3, 1, 5, 7, 37, 87, 201, 481, 991, 1553, 1867, 7893, 13147, 18647, 10373, 51951, 0};
static int joe_kuo_d6_initial_number10345[] = {1, 1, 3, 13, 17, 37, 19, 199, 253, 901, 759, 3545, 3565, 10461, 11867, 57605, 75555, 0};
static int joe_kuo_d6_initial_number10346[] = {1, 1, 1, 5, 15, 23, 115, 69, 363, 673, 201, 2451, 3197, 10059, 1667, 47145, 89, 0};
static int joe_kuo_d6_initial_number10347[] = {1, 1, 7, 13, 19, 31, 63, 35, 93, 939, 1057, 3221, 951, 3575, 9659, 7005, 2087, 0};
static int joe_kuo_d6_initial_number10348[] = {1, 1, 7, 15, 15, 21, 79, 7, 23, 595, 1123, 1909, 6863, 7383, 28067, 30113, 107497, 0};
static int joe_kuo_d6_initial_number10349[] = {1, 3, 5, 7, 11, 47, 41, 177, 163, 855, 1853, 3837, 6995, 9727, 27285, 62667, 77531, 0};
static int joe_kuo_d6_initial_number10350[] = {1, 3, 7, 3, 3, 29, 99, 163, 95, 893, 1049, 2001, 2961, 601, 4613, 59745, 61203, 0};
static int joe_kuo_d6_initial_number10351[] = {1, 3, 5, 1, 27, 5, 5, 47, 119, 631, 1171, 3467, 2115, 8581, 24863, 64193, 52093, 0};
static int joe_kuo_d6_initial_number10352[] = {1, 1, 1, 5, 9, 51, 49, 251, 97, 177, 311, 993, 1103, 7875, 25273, 51587, 9081, 0};
static int joe_kuo_d6_initial_number10353[] = {1, 3, 7, 5, 31, 21, 43, 137, 143, 779, 691, 2331, 5073, 5409, 13335, 999, 127765, 0};
static int joe_kuo_d6_initial_number10354[] = {1, 1, 7, 1, 31, 33, 27, 193, 175, 755, 1559, 659, 5663, 10491, 29209, 50979, 116683, 0};
static int joe_kuo_d6_initial_number10355[] = {1, 3, 1, 7, 23, 49, 1, 39, 117, 45, 1767, 3503, 4901, 5699, 23613, 44195, 17867, 0};
static int joe_kuo_d6_initial_number10356[] = {1, 3, 7, 13, 3, 5, 105, 89, 343, 627, 1117, 3419, 2081, 5747, 7919, 44329, 125133, 0};
static int joe_kuo_d6_initial_number10357[] = {1, 3, 1, 9, 13, 33, 53, 203, 17, 927, 127, 2195, 415, 11301, 15115, 54467, 128777, 0};
static int joe_kuo_d6_initial_number10358[] = {1, 3, 7, 1, 9, 41, 15, 89, 403, 333, 57, 1159, 1325, 2335, 10609, 20485, 110317, 0};
static int joe_kuo_d6_initial_number10359[] = {1, 3, 3, 5, 3, 61, 25, 155, 477, 907, 359, 359, 5119, 8157, 29945, 38955, 106485, 0};
static int joe_kuo_d6_initial_number10360[] = {1, 1, 7, 5, 19, 47, 91, 89, 367, 703, 761, 431, 6813, 2983, 29739, 52453, 125935, 0};
static int joe_kuo_d6_initial_number10361[] = {1, 1, 1, 7, 7, 61, 127, 239, 277, 649, 1111, 2319, 1737, 5071, 13469, 52119, 48899, 0};
static int joe_kuo_d6_initial_number10362[] = {1, 3, 5, 15, 7, 17, 21, 209, 265, 895, 719, 263, 6871, 5835, 28483, 49859, 67619, 0};
static int joe_kuo_d6_initial_number10363[] = {1, 3, 3, 15, 3, 7, 113, 109, 333, 545, 597, 1193, 7593, 3961, 25169, 64673, 47839, 0};
static int joe_kuo_d6_initial_number10364[] = {1, 1, 1, 3, 15, 45, 55, 41, 317, 719, 1587, 2953, 2441, 1127, 9183, 21637, 69075, 0};
static int joe_kuo_d6_initial_number10365[] = {1, 3, 1, 9, 25, 57, 59, 29, 89, 833, 379, 1085, 763, 14747, 30797, 24089, 83367, 0};
static int joe_kuo_d6_initial_number10366[] = {1, 1, 5, 13, 29, 3, 117, 239, 453, 595, 243, 3103, 6047, 631, 22739, 41669, 11683, 0};
static int joe_kuo_d6_initial_number10367[] = {1, 1, 3, 1, 9, 53, 81, 21, 67, 735, 827, 3519, 7991, 16249, 4183, 61295, 4531, 0};
static int joe_kuo_d6_initial_number10368[] = {1, 3, 5, 3, 1, 57, 47, 99, 91, 71, 1421, 2949, 5951, 15439, 25239, 26453, 50199, 0};
static int joe_kuo_d6_initial_number10369[] = {1, 1, 3, 15, 21, 3, 93, 21, 41, 809, 855, 727, 7797, 6957, 15835, 27175, 60617, 0};
static int joe_kuo_d6_initial_number10370[] = {1, 1, 1, 13, 1, 3, 83, 135, 197, 171, 1459, 2841, 5021, 6961, 30675, 38295, 39555, 0};
static int joe_kuo_d6_initial_number10371[] = {1, 1, 7, 5, 7, 49, 83, 83, 117, 73, 639, 2717, 651, 3253, 31635, 14427, 116509, 0};
static int joe_kuo_d6_initial_number10372[] = {1, 3, 1, 3, 23, 63, 15, 23, 433, 539, 903, 2655, 1787, 12901, 12013, 41315, 128217, 0};
static int joe_kuo_d6_initial_number10373[] = {1, 3, 1, 7, 5, 19, 3, 137, 493, 681, 775, 3725, 4855, 10817, 25277, 3631, 60779, 0};
static int joe_kuo_d6_initial_number10374[] = {1, 3, 3, 5, 1, 7, 67, 39, 309, 77, 1679, 2853, 3803, 2065, 7461, 1555, 88219, 0};
static int joe_kuo_d6_initial_number10375[] = {1, 1, 3, 5, 3, 47, 17, 193, 429, 789, 1525, 969, 7905, 6523, 10149, 64689, 40037, 0};
static int joe_kuo_d6_initial_number10376[] = {1, 3, 5, 7, 21, 17, 65, 61, 255, 517, 1765, 2603, 4929, 11073, 7871, 29313, 84739, 0};
static int joe_kuo_d6_initial_number10377[] = {1, 1, 5, 7, 13, 55, 111, 63, 499, 9, 1715, 957, 6951, 15839, 13531, 45483, 17923, 0};
static int joe_kuo_d6_initial_number10378[] = {1, 1, 1, 1, 27, 7, 13, 135, 27, 259, 1735, 3847, 7931, 14777, 15249, 62367, 45773, 0};
static int joe_kuo_d6_initial_number10379[] = {1, 1, 5, 3, 5, 7, 99, 171, 491, 1007, 195, 2223, 2657, 13557, 6549, 47125, 25117, 0};
static int joe_kuo_d6_initial_number10380[] = {1, 1, 1, 9, 13, 21, 59, 205, 205, 951, 1707, 3387, 2901, 5463, 13403, 1917, 90591, 0};
static int joe_kuo_d6_initial_number10381[] = {1, 3, 3, 5, 21, 37, 71, 91, 297, 885, 1415, 355, 2877, 9261, 6485, 45855, 90081, 0};
static int joe_kuo_d6_initial_number10382[] = {1, 1, 5, 9, 23, 51, 107, 75, 93, 1015, 439, 3589, 3307, 337, 17247, 42285, 85417, 0};
static int joe_kuo_d6_initial_number10383[] = {1, 1, 7, 15, 29, 33, 51, 23, 269, 35, 1241, 1137, 729, 14531, 14603, 47547, 17151, 0};
static int joe_kuo_d6_initial_number10384[] = {1, 3, 3, 1, 25, 21, 51, 229, 55, 561, 653, 3289, 7629, 15445, 21115, 35941, 113669, 0};
static int joe_kuo_d6_initial_number10385[] = {1, 1, 5, 15, 1, 33, 119, 171, 75, 621, 2025, 3235, 1895, 8279, 13205, 61085, 105401, 0};
static int joe_kuo_d6_initial_number10386[] = {1, 3, 1, 7, 25, 33, 73, 25, 1, 531, 603, 77, 4939, 5957, 28065, 59467, 66659, 0};
static int joe_kuo_d6_initial_number10387[] = {1, 1, 7, 3, 17, 61, 103, 47, 289, 39, 917, 2515, 6607, 1129, 23361, 46321, 81929, 0};
static int joe_kuo_d6_initial_number10388[] = {1, 1, 7, 5, 29, 53, 5, 191, 151, 19, 895, 1215, 5401, 9861, 24751, 15481, 34179, 0};
static int joe_kuo_d6_initial_number10389[] = {1, 3, 7, 9, 5, 3, 29, 205, 173, 547, 727, 947, 5619, 4181, 30621, 5553, 37587, 0};
static int joe_kuo_d6_initial_number10390[] = {1, 1, 3, 9, 13, 59, 95, 145, 287, 849, 1483, 3375, 3531, 6585, 29565, 4243, 88333, 0};
static int joe_kuo_d6_initial_number10391[] = {1, 1, 7, 11, 21, 23, 59, 223, 71, 743, 443, 697, 7789, 10371, 28565, 45127, 37967, 0};
static int joe_kuo_d6_initial_number10392[] = {1, 3, 5, 11, 15, 25, 79, 71, 21, 817, 751, 189, 1769, 3835, 21465, 17991, 102043, 0};
static int joe_kuo_d6_initial_number10393[] = {1, 1, 7, 11, 3, 19, 25, 5, 261, 181, 49, 261, 7715, 2195, 19771, 43463, 36533, 0};
static int joe_kuo_d6_initial_number10394[] = {1, 1, 7, 13, 21, 21, 15, 235, 191, 197, 1305, 1351, 4511, 625, 6613, 37053, 59491, 0};
static int joe_kuo_d6_initial_number10395[] = {1, 1, 1, 13, 15, 13, 93, 239, 251, 1009, 527, 1347, 4173, 14753, 27389, 20397, 13101, 0};
static int joe_kuo_d6_initial_number10396[] = {1, 1, 3, 1, 15, 11, 127, 141, 277, 775, 1419, 2353, 6929, 2265, 7253, 19807, 74853, 0};
static int joe_kuo_d6_initial_number10397[] = {1, 3, 3, 15, 15, 49, 9, 183, 407, 377, 675, 871, 347, 3417, 4409, 7805, 40507, 0};
static int joe_kuo_d6_initial_number10398[] = {1, 3, 5, 3, 23, 11, 81, 53, 343, 681, 1777, 3411, 757, 10875, 3581, 56105, 79907, 0};
static int joe_kuo_d6_initial_number10399[] = {1, 3, 5, 1, 25, 9, 109, 55, 283, 311, 1607, 2479, 5675, 8819, 10853, 38719, 44471, 0};
static int joe_kuo_d6_initial_number10400[] = {1, 1, 7, 7, 9, 53, 33, 195, 503, 167, 993, 3203, 3885, 1921, 1039, 25785, 47411, 0};
static int joe_kuo_d6_initial_number10401[] = {1, 3, 3, 3, 31, 3, 11, 85, 475, 743, 1825, 2649, 2373, 12177, 21481, 35579, 85803, 0};
static int joe_kuo_d6_initial_number10402[] = {1, 3, 7, 3, 23, 45, 45, 207, 369, 773, 1579, 783, 2491, 7441, 21203, 57091, 107413, 0};
static int joe_kuo_d6_initial_number10403[] = {1, 1, 1, 5, 19, 7, 97, 213, 431, 533, 637, 1767, 4945, 4693, 977, 64781, 111811, 0};
static int joe_kuo_d6_initial_number10404[] = {1, 3, 7, 7, 1, 55, 101, 251, 153, 95, 1043, 3219, 3499, 6297, 11571, 9131, 61899, 0};
static int joe_kuo_d6_initial_number10405[] = {1, 3, 5, 5, 25, 53, 121, 255, 69, 661, 799, 3559, 2029, 11701, 14151, 37897, 18333, 0};
static int joe_kuo_d6_initial_number10406[] = {1, 1, 1, 9, 21, 19, 97, 21, 321, 957, 1115, 251, 5131, 8465, 24215, 34423, 12747, 0};
static int joe_kuo_d6_initial_number10407[] = {1, 3, 5, 7, 17, 19, 99, 135, 429, 625, 1401, 1025, 4193, 2911, 7349, 34135, 9341, 0};
static int joe_kuo_d6_initial_number10408[] = {1, 3, 5, 1, 5, 63, 97, 121, 307, 547, 1967, 641, 487, 4627, 30899, 62049, 94343, 0};
static int joe_kuo_d6_initial_number10409[] = {1, 3, 5, 13, 1, 1, 109, 23, 267, 843, 271, 2277, 855, 4245, 2177, 33633, 113835, 0};
static int joe_kuo_d6_initial_number10410[] = {1, 1, 3, 7, 3, 27, 91, 79, 27, 855, 2025, 443, 4797, 9005, 27533, 20497, 100431, 0};
static int joe_kuo_d6_initial_number10411[] = {1, 3, 3, 5, 23, 7, 73, 35, 395, 649, 881, 2923, 4065, 853, 10829, 19461, 82383, 0};
static int joe_kuo_d6_initial_number10412[] = {1, 3, 1, 5, 25, 13, 85, 93, 369, 259, 393, 3233, 799, 12409, 26631, 64291, 110133, 0};
static int joe_kuo_d6_initial_number10413[] = {1, 3, 5, 5, 31, 35, 25, 239, 455, 893, 573, 1449, 3359, 12077, 17149, 12921, 66931, 0};
static int joe_kuo_d6_initial_number10414[] = {1, 1, 7, 3, 25, 39, 67, 87, 215, 325, 627, 3609, 4417, 10021, 12047, 64593, 116525, 0};
static int joe_kuo_d6_initial_number10415[] = {1, 1, 5, 5, 23, 51, 125, 247, 83, 419, 655, 635, 7053, 4907, 12887, 18083, 49481, 0};
static int joe_kuo_d6_initial_number10416[] = {1, 1, 7, 11, 5, 25, 65, 139, 235, 331, 1885, 1851, 1061, 13265, 14371, 23067, 56757, 0};
static int joe_kuo_d6_initial_number10417[] = {1, 1, 7, 9, 11, 15, 29, 255, 509, 869, 561, 2201, 487, 2989, 14943, 65373, 35789, 0};
static int joe_kuo_d6_initial_number10418[] = {1, 1, 1, 3, 3, 33, 23, 121, 129, 351, 1481, 65, 321, 15927, 23849, 2813, 98547, 0};
static int joe_kuo_d6_initial_number10419[] = {1, 1, 1, 3, 23, 55, 121, 35, 339, 87, 1147, 401, 1477, 10617, 15943, 20535, 89321, 0};
static int joe_kuo_d6_initial_number10420[] = {1, 3, 5, 15, 25, 59, 111, 185, 305, 47, 523, 2801, 5485, 625, 30191, 58153, 9019, 0};
static int joe_kuo_d6_initial_number10421[] = {1, 1, 7, 13, 15, 51, 105, 55, 77, 419, 1011, 1117, 2705, 15093, 15629, 51429, 58487, 0};
static int joe_kuo_d6_initial_number10422[] = {1, 3, 7, 5, 15, 27, 19, 7, 401, 295, 1841, 1167, 2133, 1967, 6941, 13571, 29467, 0};
static int joe_kuo_d6_initial_number10423[] = {1, 1, 5, 15, 25, 43, 23, 253, 173, 927, 1299, 2779, 5489, 16135, 1503, 51097, 105751, 0};
static int joe_kuo_d6_initial_number10424[] = {1, 3, 3, 5, 9, 13, 5, 13, 411, 639, 1323, 1495, 2539, 15087, 21489, 49653, 76229, 0};
static int joe_kuo_d6_initial_number10425[] = {1, 1, 1, 11, 7, 51, 47, 99, 247, 541, 1355, 2373, 4121, 13621, 7715, 16763, 127985, 0};
static int joe_kuo_d6_initial_number10426[] = {1, 1, 3, 9, 7, 1, 85, 45, 269, 769, 581, 2229, 7143, 5203, 22483, 18511, 30997, 0};
static int joe_kuo_d6_initial_number10427[] = {1, 3, 5, 7, 21, 41, 97, 225, 109, 195, 1197, 3417, 7613, 13225, 29157, 18969, 82045, 0};
static int joe_kuo_d6_initial_number10428[] = {1, 3, 3, 3, 17, 41, 13, 77, 129, 679, 1659, 1299, 4809, 8537, 19081, 1281, 70793, 0};
static int joe_kuo_d6_initial_number10429[] = {1, 1, 5, 5, 5, 49, 5, 15, 313, 941, 775, 259, 6579, 7745, 20531, 51669, 35257, 0};
static int joe_kuo_d6_initial_number10430[] = {1, 1, 5, 5, 17, 35, 13, 235, 169, 699, 1365, 3907, 4231, 10965, 7737, 6735, 4253, 0};
static int joe_kuo_d6_initial_number10431[] = {1, 1, 5, 3, 29, 3, 1, 197, 133, 935, 571, 3977, 2467, 2029, 12803, 64559, 6427, 0};
static int joe_kuo_d6_initial_number10432[] = {1, 3, 5, 5, 27, 5, 69, 57, 439, 925, 1695, 827, 4685, 10971, 3011, 56821, 92187, 0};
static int joe_kuo_d6_initial_number10433[] = {1, 1, 1, 3, 9, 45, 77, 179, 173, 1023, 907, 1999, 3913, 6973, 26987, 30237, 62987, 0};
static int joe_kuo_d6_initial_number10434[] = {1, 3, 7, 3, 5, 21, 17, 97, 433, 277, 1515, 2923, 8025, 14119, 11243, 3983, 33943, 0};
static int joe_kuo_d6_initial_number10435[] = {1, 1, 5, 7, 15, 13, 119, 169, 21, 927, 439, 361, 2655, 2237, 19775, 4157, 84245, 0};
static int joe_kuo_d6_initial_number10436[] = {1, 3, 5, 5, 31, 41, 117, 159, 421, 505, 1617, 3855, 7835, 8105, 29525, 56735, 82335, 0};
static int joe_kuo_d6_initial_number10437[] = {1, 1, 5, 5, 1, 33, 51, 3, 79, 933, 389, 493, 5969, 12493, 26723, 61159, 116951, 0};
static int joe_kuo_d6_initial_number10438[] = {1, 3, 7, 13, 17, 23, 75, 13, 355, 111, 675, 3191, 3931, 5651, 17495, 4595, 49869, 0};
static int joe_kuo_d6_initial_number10439[] = {1, 1, 7, 7, 15, 21, 35, 125, 89, 903, 697, 3493, 4043, 6631, 4793, 45655, 86969, 0};
static int joe_kuo_d6_initial_number10440[] = {1, 3, 1, 15, 13, 43, 113, 213, 451, 473, 191, 2913, 6391, 1321, 29615, 24791, 26979, 0};
static int joe_kuo_d6_initial_number10441[] = {1, 3, 3, 13, 17, 25, 9, 163, 163, 161, 1647, 3949, 1343, 12881, 10931, 31365, 70013, 0};
static int joe_kuo_d6_initial_number10442[] = {1, 3, 7, 3, 3, 19, 1, 121, 387, 543, 1655, 1797, 6727, 2951, 21925, 21595, 73207, 0};
static int joe_kuo_d6_initial_number10443[] = {1, 1, 5, 9, 7, 19, 91, 9, 83, 893, 1393, 163, 2219, 7763, 32395, 29569, 98645, 0};
static int joe_kuo_d6_initial_number10444[] = {1, 1, 5, 7, 13, 63, 91, 115, 247, 387, 87, 3239, 7561, 297, 32615, 48817, 41761, 0};
static int joe_kuo_d6_initial_number10445[] = {1, 3, 5, 3, 21, 23, 27, 141, 257, 377, 1745, 443, 897, 9033, 1715, 9225, 110181, 0};
static int joe_kuo_d6_initial_number10446[] = {1, 1, 7, 9, 23, 49, 125, 131, 225, 253, 139, 2057, 3273, 4049, 6861, 4463, 11659, 0};
static int joe_kuo_d6_initial_number10447[] = {1, 1, 5, 11, 5, 41, 97, 213, 133, 481, 2009, 2039, 1533, 10765, 22427, 23297, 80661, 0};
static int joe_kuo_d6_initial_number10448[] = {1, 1, 5, 15, 9, 11, 77, 129, 421, 219, 1623, 703, 1611, 13377, 9859, 42869, 101943, 0};
static int joe_kuo_d6_initial_number10449[] = {1, 3, 3, 3, 17, 63, 55, 29, 317, 973, 1159, 11, 1733, 14551, 25911, 39151, 45861, 0};
static int joe_kuo_d6_initial_number10450[] = {1, 3, 7, 11, 29, 63, 107, 193, 263, 799, 1171, 543, 553, 12591, 21965, 8165, 64347, 0};
static int joe_kuo_d6_initial_number10451[] = {1, 1, 7, 15, 23, 49, 65, 65, 401, 897, 681, 1113, 6737, 9157, 1557, 55891, 129175, 0};
static int joe_kuo_d6_initial_number10452[] = {1, 3, 3, 1, 15, 23, 107, 123, 313, 633, 1009, 2615, 1155, 11701, 21945, 7939, 28111, 0};
static int joe_kuo_d6_initial_number10453[] = {1, 3, 1, 11, 15, 11, 47, 137, 299, 393, 877, 1989, 5903, 6505, 9599, 4129, 23073, 0};
static int joe_kuo_d6_initial_number10454[] = {1, 1, 7, 15, 9, 49, 67, 15, 79, 125, 505, 17, 8071, 12957, 13855, 23611, 66465, 0};
static int joe_kuo_d6_initial_number10455[] = {1, 1, 5, 13, 31, 49, 1, 161, 121, 145, 711, 1347, 5297, 11309, 9871, 43075, 95541, 0};
static int joe_kuo_d6_initial_number10456[] = {1, 3, 3, 13, 19, 7, 55, 199, 469, 471, 1269, 3779, 6251, 3513, 1775, 19501, 94055, 0};
static int joe_kuo_d6_initial_number10457[] = {1, 3, 3, 13, 9, 41, 109, 211, 197, 227, 1211, 3327, 1247, 12253, 4493, 31507, 38677, 0};
static int joe_kuo_d6_initial_number10458[] = {1, 1, 7, 3, 11, 45, 11, 103, 325, 849, 1817, 3971, 1059, 9047, 27237, 32211, 121165, 0};
static int joe_kuo_d6_initial_number10459[] = {1, 3, 3, 3, 13, 43, 7, 35, 293, 3, 679, 1441, 5189, 7585, 32009, 6151, 89803, 0};
static int joe_kuo_d6_initial_number10460[] = {1, 1, 7, 9, 29, 41, 127, 255, 363, 913, 2027, 3891, 5187, 10233, 8871, 48085, 125609, 0};
static int joe_kuo_d6_initial_number10461[] = {1, 3, 1, 5, 21, 23, 59, 145, 171, 775, 535, 3803, 6981, 15901, 20255, 63199, 92905, 0};
static int joe_kuo_d6_initial_number10462[] = {1, 3, 5, 9, 7, 63, 53, 7, 145, 547, 1753, 3351, 1273, 8175, 24103, 42133, 87459, 0};
static int joe_kuo_d6_initial_number10463[] = {1, 3, 7, 7, 25, 33, 5, 217, 469, 473, 1573, 2525, 7345, 5261, 7023, 50893, 124129, 0};
static int joe_kuo_d6_initial_number10464[] = {1, 3, 5, 13, 5, 51, 23, 61, 429, 775, 519, 2671, 1979, 9005, 21617, 33611, 120487, 0};
static int joe_kuo_d6_initial_number10465[] = {1, 3, 3, 15, 23, 1, 73, 187, 47, 369, 943, 99, 2529, 5569, 13649, 51481, 128949, 0};
static int joe_kuo_d6_initial_number10466[] = {1, 3, 1, 5, 25, 55, 35, 191, 327, 845, 1353, 261, 6297, 6067, 22241, 32381, 17749, 0};
static int joe_kuo_d6_initial_number10467[] = {1, 1, 5, 15, 31, 5, 29, 129, 15, 47, 739, 755, 7595, 14743, 14705, 34347, 11805, 0};
static int joe_kuo_d6_initial_number10468[] = {1, 3, 1, 3, 15, 49, 119, 47, 185, 63, 2003, 2847, 5393, 855, 7699, 29521, 67011, 0};
static int joe_kuo_d6_initial_number10469[] = {1, 3, 7, 15, 11, 41, 37, 149, 173, 1015, 29, 1805, 1269, 16199, 32337, 11023, 60065, 0};
static int joe_kuo_d6_initial_number10470[] = {1, 1, 1, 7, 31, 19, 65, 81, 255, 875, 1379, 2347, 1873, 14427, 29523, 38413, 65583, 0};
static int joe_kuo_d6_initial_number10471[] = {1, 1, 1, 15, 13, 59, 3, 219, 127, 479, 1029, 3385, 563, 11825, 10081, 17423, 26431, 0};
static int joe_kuo_d6_initial_number10472[] = {1, 1, 1, 1, 25, 27, 79, 87, 489, 281, 457, 3527, 5117, 4705, 21167, 46211, 90383, 0};
static int joe_kuo_d6_initial_number10473[] = {1, 3, 7, 13, 7, 5, 67, 111, 53, 439, 1483, 3639, 7781, 9471, 10957, 60711, 64957, 0};
static int joe_kuo_d6_initial_number10474[] = {1, 3, 7, 9, 7, 7, 41, 137, 159, 245, 551, 4007, 1277, 4743, 4863, 48689, 123289, 0};
static int joe_kuo_d6_initial_number10475[] = {1, 3, 7, 9, 15, 49, 55, 77, 41, 475, 1563, 3569, 5993, 301, 14831, 44095, 22641, 0};
static int joe_kuo_d6_initial_number10476[] = {1, 1, 1, 1, 15, 33, 39, 135, 81, 533, 869, 305, 1125, 6399, 14321, 37217, 121081, 0};
static int joe_kuo_d6_initial_number10477[] = {1, 1, 7, 15, 21, 59, 43, 7, 225, 1, 115, 1531, 2931, 2593, 15935, 61973, 106899, 0};
static int joe_kuo_d6_initial_number10478[] = {1, 1, 1, 1, 13, 13, 99, 191, 437, 367, 641, 1933, 5807, 11677, 13557, 46475, 34875, 0};
static int joe_kuo_d6_initial_number10479[] = {1, 3, 7, 9, 21, 7, 119, 209, 31, 919, 901, 1229, 5823, 11439, 18151, 18991, 114743, 0};
static int joe_kuo_d6_initial_number10480[] = {1, 3, 3, 3, 19, 37, 109, 53, 411, 617, 1841, 2769, 1271, 5719, 22359, 1199, 72405, 0};
static int joe_kuo_d6_initial_number10481[] = {1, 1, 1, 5, 29, 3, 51, 59, 141, 897, 1907, 3799, 1463, 5661, 181, 50565, 95085, 0};
static int joe_kuo_d6_initial_number10482[] = {1, 1, 1, 7, 1, 35, 77, 225, 341, 587, 137, 35, 2177, 15177, 12869, 35013, 39471, 0};
static int joe_kuo_d6_initial_number10483[] = {1, 1, 3, 13, 15, 63, 45, 33, 337, 1, 1133, 263, 4985, 11591, 1085, 31197, 67897, 0};
static int joe_kuo_d6_initial_number10484[] = {1, 1, 5, 13, 23, 11, 123, 21, 185, 639, 145, 3865, 2999, 6261, 23247, 23055, 32755, 0};
static int joe_kuo_d6_initial_number10485[] = {1, 1, 5, 9, 19, 21, 47, 133, 281, 431, 1661, 3719, 3637, 973, 9727, 52627, 60035, 0};
static int joe_kuo_d6_initial_number10486[] = {1, 1, 3, 5, 3, 19, 19, 89, 63, 549, 551, 3357, 5665, 4781, 22437, 1149, 10825, 0};
static int joe_kuo_d6_initial_number10487[] = {1, 3, 5, 15, 3, 25, 81, 193, 11, 711, 1481, 1767, 1159, 4967, 16915, 3387, 26245, 0};
static int joe_kuo_d6_initial_number10488[] = {1, 1, 1, 3, 29, 39, 23, 131, 473, 107, 765, 2249, 6087, 9145, 20751, 21085, 42989, 0};
static int joe_kuo_d6_initial_number10489[] = {1, 3, 1, 9, 7, 39, 13, 199, 475, 333, 269, 1041, 5927, 14039, 19081, 9045, 119645, 0};
static int joe_kuo_d6_initial_number10490[] = {1, 1, 5, 13, 11, 61, 99, 71, 151, 175, 1327, 3397, 5063, 10683, 7895, 62255, 85749, 0};
static int joe_kuo_d6_initial_number10491[] = {1, 3, 7, 9, 1, 57, 21, 217, 423, 467, 1435, 2887, 1567, 8819, 19961, 36507, 110309, 0};
static int joe_kuo_d6_initial_number10492[] = {1, 3, 3, 11, 11, 35, 77, 127, 153, 357, 865, 1943, 1947, 10995, 13617, 44347, 26851, 0};
static int joe_kuo_d6_initial_number10493[] = {1, 3, 1, 11, 9, 43, 31, 81, 123, 813, 995, 169, 6593, 13621, 32195, 51125, 53509, 0};
static int joe_kuo_d6_initial_number10494[] = {1, 1, 5, 5, 27, 29, 77, 35, 93, 545, 377, 2345, 6475, 15729, 15103, 49591, 101121, 0};
static int joe_kuo_d6_initial_number10495[] = {1, 1, 5, 13, 1, 17, 97, 187, 129, 173, 641, 2937, 3277, 15087, 28111, 46905, 112367, 0};
static int joe_kuo_d6_initial_number10496[] = {1, 3, 7, 7, 1, 27, 75, 43, 305, 431, 571, 1327, 7419, 3093, 2691, 23417, 11975, 0};
static int joe_kuo_d6_initial_number10497[] = {1, 1, 5, 15, 17, 3, 91, 57, 417, 87, 1891, 1973, 5765, 5521, 21931, 60011, 20883, 0};
static int joe_kuo_d6_initial_number10498[] = {1, 3, 1, 3, 27, 13, 105, 153, 495, 371, 453, 1295, 5675, 6377, 8971, 40505, 41149, 0};
static int joe_kuo_d6_initial_number10499[] = {1, 1, 1, 15, 1, 17, 105, 177, 41, 455, 611, 3585, 2307, 2603, 20985, 5581, 14033, 0};
static int joe_kuo_d6_initial_number10500[] = {1, 3, 3, 9, 7, 41, 33, 145, 307, 293, 1321, 2151, 3265, 14845, 15687, 38715, 8041, 0};
static int joe_kuo_d6_initial_number10501[] = {1, 3, 3, 3, 5, 47, 127, 253, 129, 337, 1467, 5, 2743, 1921, 26979, 11737, 41479, 0};
static int joe_kuo_d6_initial_number10502[] = {1, 1, 1, 5, 15, 35, 37, 9, 5, 405, 1041, 1903, 3655, 14315, 9441, 20577, 50715, 0};
static int joe_kuo_d6_initial_number10503[] = {1, 1, 5, 15, 7, 5, 53, 61, 409, 353, 87, 1805, 4523, 11417, 24105, 21451, 56387, 0};
static int joe_kuo_d6_initial_number10504[] = {1, 3, 3, 5, 5, 9, 25, 249, 511, 795, 559, 2695, 3071, 3971, 29421, 46593, 96563, 0};
static int joe_kuo_d6_initial_number10505[] = {1, 1, 3, 1, 3, 39, 61, 85, 399, 105, 1253, 3787, 3065, 10553, 8195, 5637, 129579, 0};
static int joe_kuo_d6_initial_number10506[] = {1, 3, 3, 7, 23, 23, 23, 197, 263, 687, 943, 1977, 5767, 15373, 17995, 24509, 81293, 0};
static int joe_kuo_d6_initial_number10507[] = {1, 3, 1, 11, 15, 37, 15, 67, 207, 985, 895, 509, 3435, 11563, 2055, 19253, 42649, 0};
static int joe_kuo_d6_initial_number10508[] = {1, 1, 7, 3, 1, 51, 59, 133, 241, 569, 1575, 3633, 2243, 11939, 5501, 11249, 86013, 0};
static int joe_kuo_d6_initial_number10509[] = {1, 1, 7, 13, 25, 59, 97, 191, 385, 179, 1195, 1537, 1837, 11953, 14231, 37025, 49803, 0};
static int joe_kuo_d6_initial_number10510[] = {1, 3, 5, 5, 13, 49, 19, 171, 503, 433, 1633, 553, 2759, 4379, 18313, 62437, 37453, 0};
static int joe_kuo_d6_initial_number10511[] = {1, 3, 3, 15, 29, 49, 107, 239, 21, 913, 1095, 989, 4749, 10657, 27169, 15913, 1573, 0};
static int joe_kuo_d6_initial_number10512[] = {1, 1, 1, 1, 3, 3, 53, 241, 287, 149, 557, 2665, 2027, 449, 29231, 23025, 102521, 0};
static int joe_kuo_d6_initial_number10513[] = {1, 3, 5, 7, 23, 21, 9, 1, 11, 837, 1337, 2815, 7883, 16053, 10031, 43405, 5037, 0};
static int joe_kuo_d6_initial_number10514[] = {1, 3, 7, 1, 23, 53, 113, 125, 337, 491, 1125, 3083, 4941, 951, 15805, 1571, 79779, 0};
static int joe_kuo_d6_initial_number10515[] = {1, 3, 7, 13, 1, 3, 95, 105, 431, 723, 1771, 3773, 177, 2045, 24719, 57727, 79005, 0};
static int joe_kuo_d6_initial_number10516[] = {1, 3, 1, 1, 7, 17, 107, 171, 213, 437, 409, 2015, 7543, 12693, 23597, 44477, 72543, 0};
static int joe_kuo_d6_initial_number10517[] = {1, 3, 5, 9, 7, 21, 27, 167, 473, 901, 1245, 3737, 3485, 14593, 7619, 18753, 14209, 0};
static int joe_kuo_d6_initial_number10518[] = {1, 1, 1, 3, 25, 37, 51, 21, 363, 73, 711, 3749, 5147, 8495, 30151, 14275, 128217, 0};
static int joe_kuo_d6_initial_number10519[] = {1, 3, 1, 13, 17, 35, 69, 15, 293, 331, 301, 691, 7315, 6495, 315, 62909, 105047, 0};
static int joe_kuo_d6_initial_number10520[] = {1, 3, 5, 3, 25, 23, 105, 111, 213, 887, 1701, 2085, 5931, 9217, 4009, 2321, 103631, 0};
static int joe_kuo_d6_initial_number10521[] = {1, 1, 7, 15, 17, 57, 59, 249, 267, 941, 777, 2509, 6587, 12033, 24969, 31563, 129049, 0};
static int joe_kuo_d6_initial_number10522[] = {1, 1, 1, 5, 31, 23, 31, 217, 509, 973, 659, 673, 7759, 3865, 21221, 4319, 117411, 0};
static int joe_kuo_d6_initial_number10523[] = {1, 1, 3, 7, 13, 13, 103, 179, 107, 233, 753, 3121, 835, 13595, 9271, 31421, 45275, 0};
static int joe_kuo_d6_initial_number10524[] = {1, 3, 5, 13, 23, 61, 125, 189, 283, 83, 1087, 755, 3697, 14845, 27901, 16389, 82993, 0};
static int joe_kuo_d6_initial_number10525[] = {1, 3, 1, 3, 1, 55, 25, 139, 435, 681, 1913, 975, 3109, 6699, 12943, 50865, 71811, 0};
static int joe_kuo_d6_initial_number10526[] = {1, 3, 1, 5, 15, 61, 17, 219, 29, 805, 1881, 3761, 3535, 473, 15629, 26301, 51085, 0};
static int joe_kuo_d6_initial_number10527[] = {1, 3, 1, 1, 7, 43, 87, 93, 355, 247, 641, 2851, 4565, 9293, 6025, 1945, 112549, 0};
static int joe_kuo_d6_initial_number10528[] = {1, 3, 7, 5, 19, 55, 69, 227, 107, 443, 1587, 2457, 2873, 953, 27529, 57527, 54145, 0};
static int joe_kuo_d6_initial_number10529[] = {1, 1, 5, 9, 1, 33, 31, 241, 339, 791, 399, 3435, 1711, 10815, 32657, 59875, 31291, 0};
static int joe_kuo_d6_initial_number10530[] = {1, 1, 1, 7, 25, 59, 87, 115, 435, 47, 1907, 193, 6069, 10933, 9877, 46443, 3451, 0};
static int joe_kuo_d6_initial_number10531[] = {1, 3, 3, 15, 25, 33, 19, 121, 133, 253, 1227, 75, 2839, 3341, 30727, 52451, 44883, 0};
static int joe_kuo_d6_initial_number10532[] = {1, 1, 7, 11, 5, 47, 97, 255, 235, 565, 1701, 529, 839, 15473, 24471, 5749, 73135, 0};
static int joe_kuo_d6_initial_number10533[] = {1, 1, 3, 7, 21, 15, 31, 81, 389, 957, 603, 3879, 2875, 11987, 24625, 53667, 77775, 0};
static int joe_kuo_d6_initial_number10534[] = {1, 1, 5, 11, 29, 29, 31, 233, 107, 541, 561, 2533, 1421, 13587, 6943, 45635, 71315, 0};
static int joe_kuo_d6_initial_number10535[] = {1, 3, 1, 9, 25, 19, 33, 53, 509, 485, 1637, 2877, 5927, 16059, 195, 17279, 127025, 0};
static int joe_kuo_d6_initial_number10536[] = {1, 1, 1, 3, 9, 23, 97, 101, 337, 43, 1979, 1139, 3693, 2601, 8225, 53037, 63709, 0};
static int joe_kuo_d6_initial_number10537[] = {1, 1, 7, 7, 17, 25, 121, 253, 63, 105, 527, 1397, 121, 9665, 29151, 10795, 79077, 0};
static int joe_kuo_d6_initial_number10538[] = {1, 3, 3, 1, 27, 33, 123, 69, 209, 25, 1677, 1569, 4441, 7817, 5165, 29517, 117165, 0};
static int joe_kuo_d6_initial_number10539[] = {1, 1, 5, 15, 3, 59, 13, 25, 359, 71, 179, 3925, 6899, 6007, 9121, 36297, 88541, 0};
static int joe_kuo_d6_initial_number10540[] = {1, 1, 3, 11, 23, 17, 55, 133, 27, 277, 1055, 1057, 807, 1221, 1665, 64129, 102395, 0};
static int joe_kuo_d6_initial_number10541[] = {1, 3, 1, 15, 13, 15, 105, 141, 329, 73, 609, 1663, 3277, 1767, 6371, 34325, 109563, 0};
static int joe_kuo_d6_initial_number10542[] = {1, 1, 5, 1, 17, 21, 37, 81, 187, 403, 291, 1495, 5071, 14289, 29075, 44089, 95001, 0};
static int joe_kuo_d6_initial_number10543[] = {1, 3, 3, 3, 15, 33, 49, 155, 41, 853, 15, 3571, 1433, 8469, 18711, 59007, 98703, 0};
static int joe_kuo_d6_initial_number10544[] = {1, 3, 1, 13, 17, 47, 61, 151, 127, 87, 207, 3157, 5141, 14745, 32567, 18401, 7497, 0};
static int joe_kuo_d6_initial_number10545[] = {1, 3, 5, 1, 19, 25, 49, 147, 137, 603, 1223, 3195, 5965, 11335, 20343, 10109, 63975, 0};
static int joe_kuo_d6_initial_number10546[] = {1, 1, 7, 13, 29, 59, 1, 33, 157, 765, 961, 641, 7303, 3279, 20287, 37553, 114573, 0};
static int joe_kuo_d6_initial_number10547[] = {1, 3, 5, 1, 11, 63, 63, 41, 15, 717, 1037, 227, 7875, 8681, 26943, 11761, 28005, 0};
static int joe_kuo_d6_initial_number10548[] = {1, 3, 1, 3, 19, 5, 67, 169, 209, 293, 343, 2033, 7669, 1077, 15513, 54475, 15459, 0};
static int joe_kuo_d6_initial_number10549[] = {1, 1, 3, 3, 17, 47, 49, 187, 341, 767, 1463, 301, 2083, 9265, 12313, 14763, 126627, 0};
static int joe_kuo_d6_initial_number10550[] = {1, 3, 5, 13, 11, 15, 45, 237, 445, 55, 319, 2989, 5043, 1053, 22809, 23111, 7617, 0};
static int joe_kuo_d6_initial_number10551[] = {1, 1, 7, 9, 7, 15, 41, 185, 511, 701, 1279, 1995, 7829, 2947, 3431, 45799, 1709, 0};
static int joe_kuo_d6_initial_number10552[] = {1, 3, 7, 15, 5, 15, 85, 29, 487, 811, 1653, 483, 1193, 11331, 21815, 57215, 8373, 0};
static int joe_kuo_d6_initial_number10553[] = {1, 3, 1, 15, 27, 19, 111, 161, 19, 373, 419, 1547, 2415, 10705, 17283, 56663, 73625, 0};
static int joe_kuo_d6_initial_number10554[] = {1, 1, 3, 11, 27, 7, 75, 57, 411, 35, 685, 1249, 5227, 7313, 3167, 30537, 40655, 0};
static int joe_kuo_d6_initial_number10555[] = {1, 3, 1, 9, 7, 37, 9, 209, 353, 319, 843, 657, 2069, 6523, 611, 16291, 107121, 0};
static int joe_kuo_d6_initial_number10556[] = {1, 1, 5, 11, 11, 51, 25, 171, 315, 63, 207, 2279, 2379, 3583, 31927, 62451, 109911, 0};
static int joe_kuo_d6_initial_number10557[] = {1, 1, 7, 11, 15, 41, 19, 175, 103, 605, 1889, 3161, 1217, 3259, 29655, 11715, 35551, 0};
static int joe_kuo_d6_initial_number10558[] = {1, 3, 5, 13, 23, 11, 121, 147, 179, 397, 659, 3753, 2355, 1093, 25863, 39751, 112381, 0};
static int joe_kuo_d6_initial_number10559[] = {1, 3, 5, 7, 1, 23, 37, 117, 7, 361, 991, 661, 4427, 15333, 5307, 55171, 96959, 0};
static int joe_kuo_d6_initial_number10560[] = {1, 3, 1, 5, 17, 9, 77, 147, 289, 79, 295, 1271, 7809, 6387, 31785, 26489, 9335, 0};
static int joe_kuo_d6_initial_number10561[] = {1, 1, 1, 7, 17, 33, 63, 147, 17, 515, 1349, 1907, 7703, 5511, 27773, 54025, 30019, 0};
static int joe_kuo_d6_initial_number10562[] = {1, 3, 5, 3, 27, 57, 75, 129, 219, 533, 207, 3569, 5799, 6943, 12271, 53115, 120389, 0};
static int joe_kuo_d6_initial_number10563[] = {1, 1, 1, 13, 11, 25, 101, 251, 289, 215, 1875, 1821, 703, 15395, 27167, 43187, 63401, 0};
static int joe_kuo_d6_initial_number10564[] = {1, 1, 7, 15, 7, 39, 125, 41, 57, 513, 17, 965, 3225, 12833, 21131, 53243, 60377, 0};
static int joe_kuo_d6_initial_number10565[] = {1, 3, 5, 3, 21, 19, 43, 195, 259, 523, 587, 3393, 6621, 43, 10951, 51877, 79967, 0};
static int joe_kuo_d6_initial_number10566[] = {1, 3, 3, 7, 7, 19, 11, 89, 321, 821, 99, 2201, 1297, 949, 11539, 6295, 19721, 0};
static int joe_kuo_d6_initial_number10567[] = {1, 1, 5, 3, 29, 27, 123, 111, 441, 441, 337, 3849, 1677, 14403, 17203, 50661, 92177, 0};
static int joe_kuo_d6_initial_number10568[] = {1, 3, 5, 9, 23, 23, 73, 153, 241, 841, 371, 1503, 5815, 14117, 4679, 17997, 112269, 0};
static int joe_kuo_d6_initial_number10569[] = {1, 1, 1, 1, 7, 37, 105, 185, 453, 905, 15, 57, 6963, 9665, 3371, 2391, 96023, 0};
static int joe_kuo_d6_initial_number10570[] = {1, 3, 7, 1, 1, 21, 35, 43, 449, 111, 191, 2163, 3249, 15049, 30215, 43569, 127973, 0};
static int joe_kuo_d6_initial_number10571[] = {1, 3, 3, 3, 17, 13, 77, 123, 471, 929, 1797, 2061, 355, 4441, 1101, 24631, 128711, 0};
static int joe_kuo_d6_initial_number10572[] = {1, 3, 7, 7, 17, 51, 1, 69, 23, 1003, 535, 3751, 765, 5253, 21027, 52901, 61951, 0};
static int joe_kuo_d6_initial_number10573[] = {1, 1, 7, 9, 25, 13, 33, 13, 423, 787, 223, 729, 4443, 227, 11487, 14259, 52951, 0};
static int joe_kuo_d6_initial_number10574[] = {1, 3, 5, 5, 25, 27, 113, 93, 13, 679, 1295, 3773, 7253, 14629, 8907, 45885, 85387, 0};
static int joe_kuo_d6_initial_number10575[] = {1, 3, 3, 13, 15, 55, 99, 31, 119, 955, 1477, 3745, 6777, 973, 4723, 62133, 65093, 0};
static int joe_kuo_d6_initial_number10576[] = {1, 3, 3, 9, 13, 51, 105, 37, 477, 579, 765, 2573, 6869, 3891, 30969, 63413, 56603, 0};
static int joe_kuo_d6_initial_number10577[] = {1, 3, 1, 3, 15, 23, 67, 109, 75, 721, 523, 1433, 3455, 6377, 23795, 13711, 121349, 0};
static int joe_kuo_d6_initial_number10578[] = {1, 1, 3, 11, 5, 5, 99, 117, 233, 621, 509, 3235, 7483, 12325, 13203, 20075, 27537, 0};
static int joe_kuo_d6_initial_number10579[] = {1, 3, 3, 9, 23, 51, 93, 245, 307, 689, 1993, 3607, 1985, 11839, 25553, 54941, 68741, 0};
static int joe_kuo_d6_initial_number10580[] = {1, 1, 3, 5, 19, 21, 33, 71, 447, 539, 351, 2549, 87, 4317, 1287, 62289, 121065, 0};
static int joe_kuo_d6_initial_number10581[] = {1, 3, 5, 5, 9, 23, 37, 189, 449, 263, 37, 3127, 1709, 10793, 7379, 38565, 8267, 0};
static int joe_kuo_d6_initial_number10582[] = {1, 1, 7, 7, 7, 33, 23, 79, 457, 947, 1275, 2755, 3747, 9225, 31385, 8785, 76945, 0};
static int joe_kuo_d6_initial_number10583[] = {1, 3, 1, 9, 17, 33, 29, 59, 505, 649, 1679, 3609, 1361, 5987, 26455, 17295, 98697, 0};
static int joe_kuo_d6_initial_number10584[] = {1, 1, 3, 11, 7, 47, 127, 79, 419, 143, 349, 985, 6397, 10271, 29427, 19661, 32629, 0};
static int joe_kuo_d6_initial_number10585[] = {1, 1, 5, 13, 15, 5, 79, 171, 491, 223, 1601, 705, 623, 4405, 10065, 28057, 105737, 0};
static int joe_kuo_d6_initial_number10586[] = {1, 1, 7, 3, 29, 7, 81, 69, 265, 669, 1763, 2109, 6275, 7683, 19561, 26737, 54449, 0};
static int joe_kuo_d6_initial_number10587[] = {1, 1, 1, 7, 1, 1, 5, 9, 65, 487, 1663, 1021, 1819, 9971, 22065, 40407, 4187, 0};
static int joe_kuo_d6_initial_number10588[] = {1, 3, 5, 5, 21, 33, 11, 213, 309, 575, 427, 1421, 6435, 981, 31533, 16751, 47813, 0};
static int joe_kuo_d6_initial_number10589[] = {1, 3, 3, 13, 7, 59, 65, 65, 401, 195, 211, 421, 1139, 11729, 19717, 20699, 111863, 0};
static int joe_kuo_d6_initial_number10590[] = {1, 3, 7, 5, 17, 51, 25, 217, 223, 935, 431, 1703, 4869, 5635, 199, 5485, 37311, 0};
static int joe_kuo_d6_initial_number10591[] = {1, 1, 3, 11, 23, 25, 15, 37, 187, 1007, 857, 3327, 5471, 10089, 13745, 1741, 37769, 0};
static int joe_kuo_d6_initial_number10592[] = {1, 3, 5, 15, 31, 17, 75, 125, 1, 449, 1293, 3427, 709, 8285, 31143, 50655, 130793, 0};
static int joe_kuo_d6_initial_number10593[] = {1, 1, 7, 3, 25, 55, 105, 255, 319, 183, 1571, 2425, 5429, 7151, 8569, 37447, 23055, 0};
static int joe_kuo_d6_initial_number10594[] = {1, 3, 1, 1, 23, 37, 17, 61, 161, 559, 1025, 2651, 5861, 5231, 1365, 4853, 127301, 0};
static int joe_kuo_d6_initial_number10595[] = {1, 3, 1, 9, 17, 37, 87, 241, 411, 53, 1555, 3805, 6867, 125, 9829, 53581, 117413, 0};
static int joe_kuo_d6_initial_number10596[] = {1, 3, 3, 3, 23, 55, 121, 109, 441, 623, 1345, 3055, 2591, 11329, 16891, 61347, 125643, 0};
static int joe_kuo_d6_initial_number10597[] = {1, 3, 1, 1, 5, 29, 53, 97, 15, 275, 1587, 1245, 379, 16117, 24369, 26873, 39547, 0};
static int joe_kuo_d6_initial_number10598[] = {1, 3, 1, 5, 3, 63, 85, 167, 301, 45, 1357, 1185, 3939, 945, 24961, 59427, 128129, 0};
static int joe_kuo_d6_initial_number10599[] = {1, 3, 1, 7, 23, 25, 109, 253, 37, 151, 17, 1241, 787, 15895, 7947, 65071, 14765, 0};
static int joe_kuo_d6_initial_number10600[] = {1, 3, 3, 1, 7, 3, 103, 35, 73, 533, 1055, 823, 7403, 8117, 28813, 42457, 56037, 0};
static int joe_kuo_d6_initial_number10601[] = {1, 3, 5, 15, 1, 15, 97, 109, 293, 259, 935, 2977, 5257, 14563, 28871, 17647, 34185, 0};
static int joe_kuo_d6_initial_number10602[] = {1, 1, 1, 3, 29, 21, 101, 163, 173, 1019, 1025, 553, 945, 3781, 1097, 58025, 124819, 0};
static int joe_kuo_d6_initial_number10603[] = {1, 1, 3, 9, 7, 35, 65, 61, 31, 547, 75, 3515, 6719, 12809, 23287, 14609, 30341, 0};
static int joe_kuo_d6_initial_number10604[] = {1, 3, 7, 9, 3, 53, 21, 207, 383, 917, 1383, 2873, 1663, 15665, 1787, 50741, 35145, 0};
static int joe_kuo_d6_initial_number10605[] = {1, 3, 7, 5, 3, 35, 113, 191, 171, 635, 1597, 2943, 2421, 5555, 6457, 22087, 104221, 0};
static int joe_kuo_d6_initial_number10606[] = {1, 1, 1, 1, 29, 25, 3, 225, 175, 807, 1325, 215, 6475, 10729, 18619, 45401, 20627, 0};
static int joe_kuo_d6_initial_number10607[] = {1, 1, 5, 11, 23, 25, 39, 207, 81, 633, 403, 3369, 1295, 1289, 20853, 48899, 16613, 0};
static int joe_kuo_d6_initial_number10608[] = {1, 1, 7, 15, 5, 23, 17, 77, 169, 969, 1459, 3795, 3121, 5501, 32323, 46743, 124175, 0};
static int joe_kuo_d6_initial_number10609[] = {1, 1, 7, 13, 3, 25, 77, 153, 105, 1017, 1599, 237, 4691, 1993, 6707, 50265, 13529, 0};
static int joe_kuo_d6_initial_number10610[] = {1, 3, 3, 15, 7, 11, 81, 223, 61, 589, 1263, 3999, 7643, 12101, 19853, 49279, 29999, 0};
static int joe_kuo_d6_initial_number10611[] = {1, 3, 1, 13, 3, 31, 61, 59, 41, 313, 115, 561, 3973, 13513, 6359, 29395, 34565, 0};
static int joe_kuo_d6_initial_number10612[] = {1, 1, 7, 7, 7, 61, 91, 181, 307, 875, 2045, 1367, 3743, 6497, 2443, 12153, 96431, 0};
static int joe_kuo_d6_initial_number10613[] = {1, 1, 3, 7, 19, 63, 97, 211, 157, 945, 891, 3747, 5483, 3081, 28939, 11179, 15935, 0};
static int joe_kuo_d6_initial_number10614[] = {1, 3, 7, 3, 23, 39, 51, 137, 91, 179, 1515, 1397, 2783, 9343, 11483, 52407, 111725, 0};
static int joe_kuo_d6_initial_number10615[] = {1, 3, 3, 11, 11, 25, 111, 61, 115, 329, 485, 1713, 565, 8607, 18869, 6595, 18605, 0};
static int joe_kuo_d6_initial_number10616[] = {1, 1, 5, 1, 13, 59, 67, 231, 443, 695, 1185, 393, 6393, 12957, 15817, 37219, 113127, 0};
static int joe_kuo_d6_initial_number10617[] = {1, 3, 5, 3, 15, 57, 25, 97, 321, 627, 15, 2005, 3813, 10399, 26779, 24243, 66463, 0};
static int joe_kuo_d6_initial_number10618[] = {1, 3, 7, 7, 17, 43, 117, 179, 447, 1005, 2007, 1753, 7685, 13331, 5187, 49341, 111927, 0};
static int joe_kuo_d6_initial_number10619[] = {1, 1, 3, 3, 5, 53, 35, 185, 93, 847, 1523, 3039, 25, 3351, 23195, 41133, 38547, 0};
static int joe_kuo_d6_initial_number10620[] = {1, 1, 7, 5, 27, 59, 95, 137, 55, 129, 331, 127, 7421, 5633, 557, 18137, 89055, 0};
static int joe_kuo_d6_initial_number10621[] = {1, 3, 3, 11, 5, 53, 93, 137, 175, 191, 1645, 2047, 2569, 8177, 22691, 4037, 31823, 0};
static int joe_kuo_d6_initial_number10622[] = {1, 3, 3, 11, 11, 45, 77, 7, 21, 541, 49, 1689, 171, 829, 28917, 45095, 1807, 0};
static int joe_kuo_d6_initial_number10623[] = {1, 3, 7, 5, 21, 5, 113, 81, 33, 681, 361, 1107, 1597, 115, 11503, 27413, 9199, 0};
static int joe_kuo_d6_initial_number10624[] = {1, 1, 3, 11, 29, 57, 15, 249, 105, 683, 833, 2579, 3517, 16153, 17373, 32587, 124333, 0};
static int joe_kuo_d6_initial_number10625[] = {1, 3, 7, 13, 3, 35, 55, 23, 293, 5, 2003, 2741, 4237, 8117, 20569, 63967, 106041, 0};
static int joe_kuo_d6_initial_number10626[] = {1, 3, 3, 1, 1, 15, 57, 119, 135, 967, 1495, 801, 4959, 5037, 10051, 53915, 116891, 0};
static int joe_kuo_d6_initial_number10627[] = {1, 1, 7, 9, 15, 29, 53, 139, 505, 473, 1179, 3289, 369, 13147, 15739, 16739, 54949, 0};
static int joe_kuo_d6_initial_number10628[] = {1, 1, 5, 7, 7, 45, 17, 213, 381, 63, 437, 3099, 3765, 175, 13521, 11689, 58675, 0};
static int joe_kuo_d6_initial_number10629[] = {1, 1, 7, 1, 15, 35, 55, 43, 147, 873, 1193, 3801, 2301, 14569, 31789, 50443, 62577, 0};
static int joe_kuo_d6_initial_number10630[] = {1, 1, 5, 7, 21, 41, 3, 45, 43, 303, 1465, 1461, 5295, 13397, 30439, 7103, 87505, 0};
static int joe_kuo_d6_initial_number10631[] = {1, 1, 1, 15, 19, 27, 81, 141, 307, 259, 521, 1785, 6917, 15635, 27781, 64809, 53297, 0};
static int joe_kuo_d6_initial_number10632[] = {1, 1, 1, 7, 27, 15, 53, 99, 377, 935, 1869, 3835, 741, 8447, 18947, 10727, 72179, 0};
static int joe_kuo_d6_initial_number10633[] = {1, 1, 3, 5, 15, 51, 91, 207, 7, 997, 935, 591, 7325, 3025, 11335, 32087, 109535, 0};
static int joe_kuo_d6_initial_number10634[] = {1, 3, 1, 5, 11, 13, 1, 57, 45, 307, 1839, 1735, 2247, 13117, 17471, 16599, 103063, 0};
static int joe_kuo_d6_initial_number10635[] = {1, 3, 5, 11, 19, 7, 121, 3, 325, 731, 1945, 4025, 7649, 8939, 11147, 59065, 49971, 0};
static int joe_kuo_d6_initial_number10636[] = {1, 3, 1, 5, 29, 63, 95, 121, 467, 7, 1857, 2389, 5213, 3931, 21187, 43529, 6767, 0};
static int joe_kuo_d6_initial_number10637[] = {1, 1, 7, 7, 9, 53, 31, 227, 95, 827, 927, 3501, 2003, 12853, 2595, 33223, 125799, 0};
static int joe_kuo_d6_initial_number10638[] = {1, 3, 3, 3, 27, 25, 105, 143, 233, 887, 1135, 3449, 5767, 11447, 10251, 34621, 102113, 0};
static int joe_kuo_d6_initial_number10639[] = {1, 3, 3, 15, 3, 63, 85, 119, 103, 835, 443, 3861, 4957, 5389, 6137, 48851, 51887, 0};
static int joe_kuo_d6_initial_number10640[] = {1, 3, 7, 9, 23, 23, 45, 129, 463, 653, 1309, 3533, 1303, 2955, 18023, 37457, 114765, 0};
static int joe_kuo_d6_initial_number10641[] = {1, 3, 7, 1, 23, 17, 31, 151, 71, 515, 781, 1793, 3507, 6051, 30279, 29461, 48271, 0};
static int joe_kuo_d6_initial_number10642[] = {1, 3, 5, 15, 1, 31, 9, 187, 131, 571, 1309, 965, 7561, 16113, 23209, 54615, 16969, 0};
static int joe_kuo_d6_initial_number10643[] = {1, 3, 5, 11, 11, 9, 109, 161, 9, 697, 1683, 1245, 2223, 3571, 18117, 13085, 99315, 0};
static int joe_kuo_d6_initial_number10644[] = {1, 3, 3, 1, 13, 21, 27, 17, 11, 11, 1095, 1447, 6941, 3399, 21245, 36661, 54283, 0};
static int joe_kuo_d6_initial_number10645[] = {1, 3, 1, 3, 21, 51, 21, 197, 161, 689, 1219, 1337, 6623, 5765, 11579, 2679, 23889, 0};
static int joe_kuo_d6_initial_number10646[] = {1, 1, 5, 11, 7, 31, 101, 25, 231, 719, 1677, 1545, 459, 14735, 25153, 65079, 15141, 0};
static int joe_kuo_d6_initial_number10647[] = {1, 1, 7, 9, 17, 7, 49, 1, 83, 829, 815, 307, 3405, 15189, 23699, 50889, 70391, 0};
static int joe_kuo_d6_initial_number10648[] = {1, 1, 3, 15, 21, 57, 97, 191, 415, 899, 197, 2635, 7507, 14009, 8633, 48997, 93925, 0};
static int joe_kuo_d6_initial_number10649[] = {1, 3, 5, 15, 23, 13, 67, 127, 33, 551, 911, 3933, 2027, 10665, 19509, 18485, 76111, 0};
static int joe_kuo_d6_initial_number10650[] = {1, 1, 5, 7, 23, 63, 19, 149, 139, 155, 1621, 3391, 2337, 2809, 21161, 38565, 401, 0};
static int joe_kuo_d6_initial_number10651[] = {1, 1, 1, 7, 19, 23, 81, 49, 339, 879, 1903, 657, 2677, 2273, 10853, 3225, 57933, 0};
static int joe_kuo_d6_initial_number10652[] = {1, 3, 5, 5, 13, 31, 19, 203, 269, 1015, 997, 2151, 4471, 11331, 5363, 46519, 51709, 0};
static int joe_kuo_d6_initial_number10653[] = {1, 1, 5, 11, 29, 19, 17, 169, 511, 389, 1429, 2707, 1341, 10511, 6779, 43345, 68693, 0};
static int joe_kuo_d6_initial_number10654[] = {1, 1, 5, 11, 19, 25, 29, 37, 423, 345, 953, 2525, 5937, 6595, 31389, 39347, 36343, 0};
static int joe_kuo_d6_initial_number10655[] = {1, 3, 1, 3, 15, 25, 45, 95, 111, 207, 19, 1723, 4113, 421, 3297, 46771, 8639, 0};
static int joe_kuo_d6_initial_number10656[] = {1, 1, 3, 9, 9, 47, 27, 99, 327, 393, 1547, 1587, 4463, 719, 14609, 24347, 68107, 0};
static int joe_kuo_d6_initial_number10657[] = {1, 3, 7, 7, 29, 19, 57, 229, 131, 497, 109, 251, 6599, 8947, 10255, 12875, 83831, 0};
static int joe_kuo_d6_initial_number10658[] = {1, 3, 3, 7, 17, 5, 17, 45, 423, 393, 1793, 3, 603, 15221, 13141, 40585, 37489, 0};
static int joe_kuo_d6_initial_number10659[] = {1, 1, 1, 11, 5, 1, 53, 147, 129, 135, 1473, 17, 7539, 13513, 16045, 17375, 41261, 0};
static int joe_kuo_d6_initial_number10660[] = {1, 3, 1, 5, 3, 15, 75, 57, 47, 581, 739, 3529, 4323, 10225, 27861, 14431, 106811, 0};
static int joe_kuo_d6_initial_number10661[] = {1, 3, 3, 13, 23, 57, 41, 39, 217, 67, 595, 1381, 6281, 10125, 30605, 7935, 124219, 0};
static int joe_kuo_d6_initial_number10662[] = {1, 1, 7, 15, 15, 45, 1, 135, 495, 271, 2023, 3267, 39, 15025, 32763, 39023, 20041, 0};
static int joe_kuo_d6_initial_number10663[] = {1, 3, 7, 13, 23, 53, 75, 147, 187, 633, 1989, 1885, 6581, 12169, 13639, 19707, 96429, 0};
static int joe_kuo_d6_initial_number10664[] = {1, 1, 5, 9, 13, 55, 13, 41, 305, 105, 1983, 273, 35, 5185, 22569, 54203, 31641, 0};
static int joe_kuo_d6_initial_number10665[] = {1, 1, 3, 15, 21, 19, 59, 35, 165, 575, 1961, 1443, 4803, 2339, 28329, 47695, 21505, 0};
static int joe_kuo_d6_initial_number10666[] = {1, 3, 1, 3, 23, 45, 95, 85, 55, 457, 1957, 1243, 4091, 14669, 13213, 53901, 122605, 0};
static int joe_kuo_d6_initial_number10667[] = {1, 3, 7, 1, 13, 1, 61, 253, 195, 839, 181, 1153, 1391, 205, 6725, 1757, 86817, 0};
static int joe_kuo_d6_initial_number10668[] = {1, 1, 3, 9, 7, 13, 115, 137, 169, 851, 299, 509, 6709, 6331, 51, 31833, 25217, 0};
static int joe_kuo_d6_initial_number10669[] = {1, 1, 5, 15, 29, 23, 119, 15, 41, 585, 1713, 1203, 1653, 3287, 25333, 58873, 71853, 0};
static int joe_kuo_d6_initial_number10670[] = {1, 3, 5, 15, 1, 45, 35, 79, 97, 381, 2027, 3795, 2127, 4775, 4579, 63267, 24719, 0};
static int joe_kuo_d6_initial_number10671[] = {1, 1, 5, 7, 17, 21, 123, 75, 3, 887, 1537, 2017, 1623, 16315, 12535, 64281, 54925, 0};
static int joe_kuo_d6_initial_number10672[] = {1, 1, 3, 13, 5, 23, 117, 43, 305, 365, 775, 1599, 5917, 13995, 6353, 3113, 106317, 0};
static int joe_kuo_d6_initial_number10673[] = {1, 1, 3, 11, 21, 19, 9, 11, 129, 349, 579, 3523, 5259, 8083, 24513, 15077, 115377, 0};
static int joe_kuo_d6_initial_number10674[] = {1, 1, 7, 9, 19, 31, 107, 3, 185, 821, 907, 2389, 7015, 3161, 13603, 35063, 60641, 0};
static int joe_kuo_d6_initial_number10675[] = {1, 1, 3, 1, 19, 35, 105, 245, 363, 745, 1287, 4051, 5201, 7787, 20919, 26567, 37357, 0};
static int joe_kuo_d6_initial_number10676[] = {1, 3, 1, 1, 23, 31, 1, 149, 61, 489, 371, 987, 3689, 14275, 8581, 48221, 44183, 0};
static int joe_kuo_d6_initial_number10677[] = {1, 1, 5, 3, 9, 35, 51, 17, 439, 355, 461, 2129, 1567, 13261, 22347, 17013, 53857, 0};
static int joe_kuo_d6_initial_number10678[] = {1, 3, 3, 15, 3, 33, 59, 185, 157, 933, 1489, 647, 4839, 12139, 3145, 57819, 11731, 0};
static int joe_kuo_d6_initial_number10679[] = {1, 3, 5, 15, 17, 31, 59, 51, 117, 1001, 1585, 2861, 2785, 9579, 28013, 4481, 126723, 0};
static int joe_kuo_d6_initial_number10680[] = {1, 3, 7, 13, 27, 1, 41, 119, 179, 879, 1617, 4053, 3537, 15389, 16381, 40153, 68019, 0};
static int joe_kuo_d6_initial_number10681[] = {1, 1, 3, 13, 13, 35, 45, 203, 333, 337, 1415, 1889, 2361, 4207, 10411, 21013, 44009, 0};
static int joe_kuo_d6_initial_number10682[] = {1, 3, 3, 5, 27, 9, 17, 85, 331, 369, 1219, 247, 1977, 12267, 1181, 18811, 54017, 0};
static int joe_kuo_d6_initial_number10683[] = {1, 3, 5, 9, 21, 57, 57, 175, 283, 639, 1155, 1595, 8187, 9981, 21451, 7525, 52751, 0};
static int joe_kuo_d6_initial_number10684[] = {1, 3, 1, 5, 27, 61, 95, 25, 271, 81, 1335, 2821, 7805, 10167, 13197, 58341, 62325, 0};
static int joe_kuo_d6_initial_number10685[] = {1, 1, 7, 3, 15, 31, 75, 5, 211, 663, 551, 963, 6015, 11907, 17045, 22863, 32389, 0};
static int joe_kuo_d6_initial_number10686[] = {1, 1, 7, 5, 21, 53, 67, 71, 251, 135, 1153, 2247, 2499, 15431, 21419, 46737, 2827, 0};
static int joe_kuo_d6_initial_number10687[] = {1, 1, 5, 3, 31, 25, 39, 209, 437, 791, 1595, 637, 1581, 6575, 26407, 24043, 11277, 0};
static int joe_kuo_d6_initial_number10688[] = {1, 3, 3, 5, 21, 15, 13, 19, 259, 949, 1237, 239, 5739, 4661, 3405, 55775, 58781, 0};
static int joe_kuo_d6_initial_number10689[] = {1, 1, 3, 5, 1, 63, 5, 197, 329, 625, 981, 913, 3957, 2765, 8801, 56675, 129511, 0};
static int joe_kuo_d6_initial_number10690[] = {1, 3, 3, 3, 29, 53, 65, 145, 435, 937, 787, 2043, 4945, 14585, 2789, 15771, 112335, 0};
static int joe_kuo_d6_initial_number10691[] = {1, 3, 7, 13, 3, 23, 33, 141, 131, 375, 739, 711, 897, 469, 3635, 43335, 3069, 0};
static int joe_kuo_d6_initial_number10692[] = {1, 1, 7, 11, 29, 13, 111, 149, 197, 793, 1541, 1879, 7683, 9397, 6873, 43733, 118507, 0};
static int joe_kuo_d6_initial_number10693[] = {1, 3, 7, 7, 29, 21, 97, 113, 139, 573, 1099, 2615, 5123, 13021, 9533, 57673, 79283, 0};
static int joe_kuo_d6_initial_number10694[] = {1, 3, 1, 5, 11, 9, 59, 89, 469, 797, 1119, 1037, 1667, 5947, 6051, 65045, 98275, 0};
static int joe_kuo_d6_initial_number10695[] = {1, 3, 3, 9, 11, 7, 51, 191, 321, 677, 1601, 681, 3579, 14441, 26579, 18019, 43065, 0};
static int joe_kuo_d6_initial_number10696[] = {1, 3, 5, 11, 7, 11, 79, 21, 335, 537, 801, 3553, 4311, 375, 7333, 64839, 88841, 0};
static int joe_kuo_d6_initial_number10697[] = {1, 3, 1, 7, 5, 11, 15, 163, 69, 645, 57, 3685, 5143, 8275, 12763, 25035, 68949, 0};
static int joe_kuo_d6_initial_number10698[] = {1, 1, 3, 13, 29, 33, 125, 179, 431, 129, 1367, 951, 5843, 13419, 13897, 17315, 58083, 0};
static int joe_kuo_d6_initial_number10699[] = {1, 1, 3, 11, 31, 33, 3, 7, 185, 821, 231, 869, 6147, 15243, 32029, 20295, 60871, 0};
static int joe_kuo_d6_initial_number10700[] = {1, 1, 1, 1, 31, 43, 21, 103, 275, 573, 805, 225, 2049, 8375, 32595, 53201, 126487, 0};
static int joe_kuo_d6_initial_number10701[] = {1, 1, 1, 9, 31, 29, 7, 91, 277, 937, 1223, 2435, 4335, 7861, 9647, 13577, 30059, 0};
static int joe_kuo_d6_initial_number10702[] = {1, 1, 1, 1, 23, 25, 69, 175, 293, 905, 765, 1527, 6655, 15431, 2511, 3147, 75431, 0};
static int joe_kuo_d6_initial_number10703[] = {1, 3, 3, 3, 15, 53, 109, 195, 87, 557, 1277, 1471, 7401, 14127, 11479, 41505, 769, 0};
static int joe_kuo_d6_initial_number10704[] = {1, 1, 5, 11, 23, 37, 121, 181, 199, 359, 1521, 2561, 3641, 7621, 14219, 6959, 77529, 0};
static int joe_kuo_d6_initial_number10705[] = {1, 3, 1, 11, 5, 7, 69, 199, 501, 251, 707, 1485, 8125, 3209, 30883, 40259, 85087, 0};
static int joe_kuo_d6_initial_number10706[] = {1, 3, 5, 13, 9, 35, 5, 133, 505, 39, 581, 1605, 6303, 1211, 27211, 55591, 31689, 0};
static int joe_kuo_d6_initial_number10707[] = {1, 1, 5, 3, 17, 7, 11, 61, 483, 59, 1569, 2583, 759, 5759, 3575, 44547, 89783, 0};
static int joe_kuo_d6_initial_number10708[] = {1, 1, 7, 15, 5, 27, 107, 5, 471, 421, 383, 3591, 3609, 13817, 633, 22043, 83119, 0};
static int joe_kuo_d6_initial_number10709[] = {1, 1, 3, 7, 27, 55, 61, 249, 37, 241, 1483, 2839, 1231, 4765, 1551, 55801, 129679, 0};
static int joe_kuo_d6_initial_number10710[] = {1, 1, 1, 3, 11, 1, 19, 207, 143, 351, 409, 721, 4597, 13389, 30297, 43253, 129923, 0};
static int joe_kuo_d6_initial_number10711[] = {1, 3, 3, 7, 7, 53, 83, 27, 167, 163, 537, 3871, 2459, 12813, 30019, 41131, 56109, 0};
static int joe_kuo_d6_initial_number10712[] = {1, 1, 5, 1, 23, 37, 11, 67, 161, 751, 123, 307, 3341, 12983, 21565, 58529, 94503, 0};
static int joe_kuo_d6_initial_number10713[] = {1, 3, 3, 15, 11, 33, 39, 195, 467, 647, 1479, 1197, 7949, 6501, 18375, 15263, 21121, 0};
static int joe_kuo_d6_initial_number10714[] = {1, 3, 5, 13, 3, 35, 9, 253, 299, 679, 69, 165, 2735, 14725, 4217, 16391, 107017, 0};
static int joe_kuo_d6_initial_number10715[] = {1, 1, 1, 15, 3, 11, 87, 87, 391, 515, 843, 3957, 1365, 13201, 15983, 53647, 35643, 0};
static int joe_kuo_d6_initial_number10716[] = {1, 1, 3, 7, 9, 53, 45, 221, 209, 855, 169, 2729, 1219, 5229, 14111, 28877, 114653, 0};
static int joe_kuo_d6_initial_number10717[] = {1, 1, 5, 3, 11, 17, 5, 93, 303, 785, 1895, 2483, 7399, 14031, 1007, 2743, 47307, 0};
static int joe_kuo_d6_initial_number10718[] = {1, 1, 7, 11, 9, 13, 115, 31, 223, 1011, 723, 1291, 5183, 559, 15881, 43045, 28131, 0};
static int joe_kuo_d6_initial_number10719[] = {1, 3, 7, 11, 7, 59, 85, 111, 79, 227, 691, 1597, 2453, 10023, 19255, 47781, 88351, 0};
static int joe_kuo_d6_initial_number10720[] = {1, 3, 3, 7, 21, 33, 39, 35, 253, 743, 563, 2455, 8015, 13403, 24883, 47881, 115559, 0};
static int joe_kuo_d6_initial_number10721[] = {1, 3, 1, 1, 5, 33, 69, 37, 225, 157, 1347, 3241, 4981, 15985, 9949, 49189, 21267, 0};
static int joe_kuo_d6_initial_number10722[] = {1, 1, 3, 11, 9, 33, 123, 133, 215, 297, 961, 1571, 1133, 1, 31871, 25253, 100097, 0};
static int joe_kuo_d6_initial_number10723[] = {1, 1, 1, 7, 13, 29, 101, 127, 113, 785, 1257, 525, 7397, 13143, 30315, 5969, 37829, 0};
static int joe_kuo_d6_initial_number10724[] = {1, 1, 1, 7, 29, 33, 17, 95, 439, 577, 1857, 423, 63, 15365, 4777, 59073, 7773, 0};
static int joe_kuo_d6_initial_number10725[] = {1, 1, 5, 15, 3, 17, 89, 133, 217, 601, 1979, 391, 105, 13709, 10081, 37725, 40957, 0};
static int joe_kuo_d6_initial_number10726[] = {1, 1, 1, 15, 25, 7, 85, 197, 155, 367, 1927, 2007, 2563, 13147, 2345, 28735, 88243, 0};
static int joe_kuo_d6_initial_number10727[] = {1, 3, 5, 3, 5, 33, 87, 153, 153, 779, 825, 2163, 385, 11663, 2005, 51261, 25893, 0};
static int joe_kuo_d6_initial_number10728[] = {1, 3, 5, 5, 23, 15, 19, 99, 71, 723, 523, 3683, 7773, 191, 17423, 30497, 129889, 0};
static int joe_kuo_d6_initial_number10729[] = {1, 1, 7, 11, 1, 3, 49, 119, 39, 661, 297, 27, 1575, 12145, 18519, 57285, 50059, 0};
static int joe_kuo_d6_initial_number10730[] = {1, 3, 7, 5, 7, 37, 75, 235, 403, 743, 603, 1689, 5031, 8871, 28241, 16917, 16947, 0};
static int joe_kuo_d6_initial_number10731[] = {1, 1, 5, 13, 17, 41, 67, 219, 237, 365, 833, 3521, 3211, 1037, 5657, 34789, 119739, 0};
static int joe_kuo_d6_initial_number10732[] = {1, 1, 5, 7, 3, 61, 89, 107, 335, 825, 803, 2445, 6861, 5421, 14585, 44037, 92711, 0};
static int joe_kuo_d6_initial_number10733[] = {1, 3, 7, 3, 19, 25, 81, 51, 101, 477, 1653, 2841, 6597, 9261, 30609, 15681, 48897, 0};
static int joe_kuo_d6_initial_number10734[] = {1, 1, 7, 11, 17, 1, 43, 39, 133, 513, 1839, 553, 6379, 4865, 28161, 7249, 80073, 0};
static int joe_kuo_d6_initial_number10735[] = {1, 1, 5, 5, 13, 45, 19, 225, 399, 679, 195, 3613, 413, 2901, 26749, 39971, 31435, 0};
static int joe_kuo_d6_initial_number10736[] = {1, 3, 7, 3, 23, 55, 57, 77, 447, 721, 677, 271, 6211, 12631, 5843, 35991, 82653, 0};
static int joe_kuo_d6_initial_number10737[] = {1, 1, 1, 1, 3, 63, 23, 195, 1, 1019, 723, 3865, 5913, 5491, 5495, 27483, 73637, 0};
static int joe_kuo_d6_initial_number10738[] = {1, 3, 1, 11, 17, 31, 27, 211, 411, 789, 1049, 2487, 2203, 6457, 7275, 4833, 14131, 0};
static int joe_kuo_d6_initial_number10739[] = {1, 1, 5, 15, 15, 13, 65, 155, 127, 753, 1605, 1859, 2873, 9197, 1763, 11969, 82971, 0};
static int joe_kuo_d6_initial_number10740[] = {1, 1, 3, 11, 11, 63, 13, 29, 31, 851, 251, 3231, 1227, 5513, 9785, 34659, 123811, 0};
static int joe_kuo_d6_initial_number10741[] = {1, 3, 5, 1, 19, 57, 41, 205, 91, 39, 989, 1897, 4789, 16071, 6507, 29363, 75773, 0};
static int joe_kuo_d6_initial_number10742[] = {1, 1, 1, 1, 5, 29, 113, 203, 53, 599, 1529, 1417, 7017, 9609, 4867, 17659, 80719, 0};
static int joe_kuo_d6_initial_number10743[] = {1, 3, 7, 9, 27, 17, 77, 25, 461, 511, 781, 2977, 7601, 3551, 23615, 57669, 119723, 0};
static int joe_kuo_d6_initial_number10744[] = {1, 3, 3, 9, 23, 43, 115, 21, 125, 237, 893, 1431, 7423, 3717, 4371, 36193, 30481, 0};
static int joe_kuo_d6_initial_number10745[] = {1, 1, 5, 13, 3, 37, 13, 239, 267, 665, 205, 2745, 3865, 12167, 26689, 999, 9355, 0};
static int joe_kuo_d6_initial_number10746[] = {1, 1, 1, 1, 31, 35, 55, 115, 387, 217, 657, 2827, 2963, 3687, 24271, 41701, 5911, 0};
static int joe_kuo_d6_initial_number10747[] = {1, 1, 3, 3, 27, 57, 41, 183, 351, 841, 1327, 719, 7043, 12503, 17953, 60719, 98223, 0};
static int joe_kuo_d6_initial_number10748[] = {1, 3, 1, 1, 27, 1, 119, 85, 197, 673, 1951, 2949, 4783, 561, 12807, 43355, 63397, 0};
static int joe_kuo_d6_initial_number10749[] = {1, 1, 7, 7, 17, 63, 109, 87, 303, 439, 529, 685, 111, 8405, 21249, 33803, 77927, 0};
static int joe_kuo_d6_initial_number10750[] = {1, 1, 7, 9, 11, 63, 27, 185, 445, 25, 1313, 3979, 4229, 8797, 10671, 33995, 84463, 0};
static int joe_kuo_d6_initial_number10751[] = {1, 1, 1, 15, 27, 63, 67, 237, 39, 993, 851, 4075, 3417, 1077, 11939, 31737, 93897, 0};
static int joe_kuo_d6_initial_number10752[] = {1, 1, 3, 5, 25, 9, 51, 241, 213, 661, 1135, 213, 7027, 5933, 24485, 65029, 8583, 0};
static int joe_kuo_d6_initial_number10753[] = {1, 3, 5, 11, 31, 1, 17, 237, 107, 1021, 279, 181, 1741, 11099, 7871, 63231, 64445, 0};
static int joe_kuo_d6_initial_number10754[] = {1, 3, 5, 9, 17, 21, 11, 45, 23, 409, 519, 1703, 5467, 9591, 13555, 23739, 73837, 0};
static int joe_kuo_d6_initial_number10755[] = {1, 3, 3, 15, 3, 39, 11, 157, 273, 241, 413, 1723, 3179, 2125, 16859, 5231, 122969, 0};
static int joe_kuo_d6_initial_number10756[] = {1, 3, 5, 11, 21, 27, 29, 243, 255, 1011, 1179, 3545, 3557, 8091, 31569, 10217, 108361, 0};
static int joe_kuo_d6_initial_number10757[] = {1, 1, 5, 9, 25, 33, 29, 67, 395, 123, 1405, 3855, 7481, 5601, 21231, 17099, 13399, 0};
static int joe_kuo_d6_initial_number10758[] = {1, 1, 5, 5, 13, 17, 111, 47, 77, 827, 577, 1767, 3367, 11719, 8801, 22431, 85451, 0};
static int joe_kuo_d6_initial_number10759[] = {1, 3, 7, 11, 11, 31, 17, 141, 149, 293, 55, 3459, 19, 13709, 29135, 62765, 66455, 0};
static int joe_kuo_d6_initial_number10760[] = {1, 1, 7, 15, 13, 19, 59, 211, 189, 773, 1791, 2089, 2857, 1635, 17777, 46585, 70115, 0};
static int joe_kuo_d6_initial_number10761[] = {1, 1, 5, 11, 29, 29, 15, 7, 93, 733, 1605, 3731, 2381, 1063, 15565, 25081, 46651, 0};
static int joe_kuo_d6_initial_number10762[] = {1, 3, 1, 9, 25, 5, 87, 113, 25, 93, 881, 1137, 3237, 10983, 14317, 25945, 121493, 0};
static int joe_kuo_d6_initial_number10763[] = {1, 1, 5, 11, 29, 47, 99, 111, 165, 453, 259, 2001, 7715, 2609, 15633, 40273, 2065, 0};
static int joe_kuo_d6_initial_number10764[] = {1, 1, 7, 13, 11, 29, 33, 255, 149, 361, 89, 2837, 49, 3033, 1917, 9029, 38123, 0};
static int joe_kuo_d6_initial_number10765[] = {1, 1, 1, 7, 27, 31, 105, 61, 469, 497, 1919, 3005, 3651, 2143, 24359, 8053, 103647, 0};
static int joe_kuo_d6_initial_number10766[] = {1, 1, 3, 13, 31, 63, 101, 47, 397, 89, 1915, 2385, 5399, 8897, 21001, 42997, 110333, 0};
static int joe_kuo_d6_initial_number10767[] = {1, 3, 7, 5, 29, 1, 5, 119, 493, 349, 153, 1839, 283, 14343, 12975, 55597, 89467, 0};
static int joe_kuo_d6_initial_number10768[] = {1, 3, 5, 3, 5, 51, 71, 227, 63, 799, 745, 1387, 2435, 1003, 27937, 43421, 12279, 0};
static int joe_kuo_d6_initial_number10769[] = {1, 3, 3, 7, 7, 31, 37, 61, 11, 175, 581, 1583, 4737, 3087, 10335, 60683, 57085, 0};
static int joe_kuo_d6_initial_number10770[] = {1, 3, 1, 1, 1, 63, 59, 47, 417, 35, 1673, 3277, 1873, 14981, 22463, 26835, 91115, 0};
static int joe_kuo_d6_initial_number10771[] = {1, 1, 7, 5, 15, 23, 115, 13, 253, 583, 219, 1307, 1189, 9891, 641, 20841, 87133, 0};
static int joe_kuo_d6_initial_number10772[] = {1, 1, 5, 11, 1, 3, 71, 235, 429, 335, 1649, 1775, 3077, 13723, 3209, 19807, 7283, 0};
static int joe_kuo_d6_initial_number10773[] = {1, 1, 7, 1, 31, 49, 39, 141, 127, 63, 1561, 2559, 7661, 4825, 9419, 15327, 87145, 0};
static int joe_kuo_d6_initial_number10774[] = {1, 1, 5, 3, 17, 33, 51, 219, 467, 151, 161, 3301, 7509, 2235, 30371, 64031, 62741, 0};
static int joe_kuo_d6_initial_number10775[] = {1, 3, 1, 3, 23, 63, 43, 29, 399, 279, 271, 3537, 1863, 1811, 14917, 28247, 34807, 0};
static int joe_kuo_d6_initial_number10776[] = {1, 1, 3, 5, 13, 29, 37, 151, 129, 19, 149, 2145, 5363, 6835, 19655, 1207, 74527, 0};
static int joe_kuo_d6_initial_number10777[] = {1, 3, 5, 7, 27, 35, 63, 53, 247, 987, 1767, 483, 3489, 1711, 10763, 6981, 78251, 0};
static int joe_kuo_d6_initial_number10778[] = {1, 1, 3, 1, 15, 47, 83, 147, 375, 539, 1623, 29, 4599, 7981, 23533, 64659, 48753, 0};
static int joe_kuo_d6_initial_number10779[] = {1, 1, 1, 9, 21, 17, 85, 45, 167, 469, 1319, 2969, 1605, 1405, 9961, 28829, 125757, 0};
static int joe_kuo_d6_initial_number10780[] = {1, 3, 1, 11, 3, 45, 43, 159, 301, 579, 1821, 701, 1149, 457, 16601, 49377, 99845, 0};
static int joe_kuo_d6_initial_number10781[] = {1, 1, 7, 13, 11, 7, 37, 227, 345, 973, 1167, 1247, 5109, 10917, 3029, 60065, 127347, 0};
static int joe_kuo_d6_initial_number10782[] = {1, 1, 3, 5, 3, 63, 95, 233, 495, 225, 1225, 3451, 7731, 14677, 10437, 1417, 33293, 0};
static int joe_kuo_d6_initial_number10783[] = {1, 1, 7, 15, 1, 3, 3, 171, 201, 1009, 1481, 587, 7661, 10085, 4961, 46415, 28573, 0};
static int joe_kuo_d6_initial_number10784[] = {1, 1, 5, 1, 3, 45, 67, 79, 463, 733, 2007, 2811, 2943, 14857, 23469, 14479, 97875, 0};
static int joe_kuo_d6_initial_number10785[] = {1, 1, 1, 5, 19, 1, 29, 29, 447, 173, 1081, 153, 5343, 5707, 1357, 30169, 122527, 0};
static int joe_kuo_d6_initial_number10786[] = {1, 1, 1, 5, 15, 57, 33, 129, 71, 717, 173, 3271, 4741, 13211, 28321, 56793, 119833, 0};
static int joe_kuo_d6_initial_number10787[] = {1, 3, 3, 9, 9, 41, 47, 71, 103, 713, 725, 1335, 5261, 13835, 17619, 47429, 69815, 0};
static int joe_kuo_d6_initial_number10788[] = {1, 3, 3, 15, 7, 3, 71, 25, 75, 967, 1037, 3585, 3407, 9979, 2195, 51087, 126535, 0};
static int joe_kuo_d6_initial_number10789[] = {1, 3, 3, 11, 25, 7, 25, 249, 473, 339, 1211, 3503, 4343, 9707, 26127, 62061, 52479, 0};
static int joe_kuo_d6_initial_number10790[] = {1, 1, 3, 3, 27, 9, 79, 197, 207, 845, 377, 3231, 5177, 899, 19497, 41187, 105897, 0};
static int joe_kuo_d6_initial_number10791[] = {1, 3, 5, 15, 5, 27, 65, 151, 207, 677, 713, 2495, 681, 15341, 5389, 51965, 43761, 0};
static int joe_kuo_d6_initial_number10792[] = {1, 3, 3, 11, 19, 11, 55, 189, 291, 183, 1345, 2677, 791, 2391, 25771, 55147, 24223, 0};
static int joe_kuo_d6_initial_number10793[] = {1, 1, 3, 11, 31, 59, 29, 5, 275, 483, 1361, 1527, 3019, 245, 17667, 57905, 41329, 0};
static int joe_kuo_d6_initial_number10794[] = {1, 3, 3, 9, 7, 19, 83, 71, 147, 999, 793, 3535, 1931, 12817, 2707, 45735, 31311, 0};
static int joe_kuo_d6_initial_number10795[] = {1, 1, 5, 7, 5, 1, 117, 247, 127, 1011, 1441, 2449, 4095, 12239, 4743, 64781, 32621, 0};
static int joe_kuo_d6_initial_number10796[] = {1, 3, 1, 11, 19, 57, 43, 39, 97, 485, 951, 989, 5975, 5219, 14421, 43681, 37305, 0};
static int joe_kuo_d6_initial_number10797[] = {1, 1, 5, 15, 7, 49, 113, 161, 199, 545, 1113, 3821, 2019, 8747, 4085, 50823, 31955, 0};
static int joe_kuo_d6_initial_number10798[] = {1, 3, 3, 3, 19, 41, 47, 191, 403, 25, 2043, 3489, 6263, 4843, 12961, 63791, 5027, 0};
static int joe_kuo_d6_initial_number10799[] = {1, 1, 7, 1, 25, 55, 5, 51, 121, 273, 973, 3893, 1771, 9373, 21927, 29353, 95935, 0};
static int joe_kuo_d6_initial_number10800[] = {1, 3, 3, 3, 27, 1, 97, 63, 445, 179, 481, 2995, 3123, 4687, 24359, 35973, 74535, 0};
static int joe_kuo_d6_initial_number10801[] = {1, 1, 5, 1, 29, 23, 117, 183, 197, 819, 695, 641, 4155, 13593, 30965, 41407, 42433, 0};
static int joe_kuo_d6_initial_number10802[] = {1, 3, 5, 1, 23, 53, 61, 253, 87, 487, 1995, 1281, 3367, 15047, 3493, 41711, 53407, 0};
static int joe_kuo_d6_initial_number10803[] = {1, 1, 1, 9, 27, 49, 83, 21, 63, 181, 1661, 1649, 281, 12141, 25771, 35563, 42643, 0};
static int joe_kuo_d6_initial_number10804[] = {1, 3, 5, 13, 15, 59, 121, 113, 379, 487, 1929, 3725, 2477, 6527, 8619, 64869, 57103, 0};
static int joe_kuo_d6_initial_number10805[] = {1, 3, 1, 7, 27, 39, 69, 93, 193, 395, 433, 2091, 151, 6921, 11599, 36143, 41179, 0};
static int joe_kuo_d6_initial_number10806[] = {1, 1, 7, 1, 31, 33, 73, 199, 57, 37, 1387, 3505, 7919, 3507, 2855, 8239, 84527, 0};
static int joe_kuo_d6_initial_number10807[] = {1, 1, 7, 5, 15, 5, 119, 253, 263, 785, 1409, 1485, 3675, 5515, 13057, 30323, 98015, 0};
static int joe_kuo_d6_initial_number10808[] = {1, 3, 1, 1, 11, 5, 57, 83, 365, 703, 1923, 1397, 1103, 4015, 13123, 47093, 113793, 0};
static int joe_kuo_d6_initial_number10809[] = {1, 3, 3, 1, 5, 61, 29, 173, 189, 999, 897, 3389, 6745, 1487, 2349, 59105, 107407, 0};
static int joe_kuo_d6_initial_number10810[] = {1, 1, 1, 1, 17, 51, 65, 1, 249, 863, 399, 3819, 2485, 12215, 12365, 58909, 25559, 0};
static int joe_kuo_d6_initial_number10811[] = {1, 3, 7, 1, 31, 39, 43, 219, 51, 13, 779, 505, 2259, 14571, 9049, 21555, 11869, 0};
static int joe_kuo_d6_initial_number10812[] = {1, 1, 7, 7, 13, 5, 97, 85, 111, 511, 587, 63, 2395, 8099, 26223, 757, 119821, 0};
static int joe_kuo_d6_initial_number10813[] = {1, 3, 3, 5, 5, 19, 113, 35, 101, 41, 499, 1313, 6489, 6793, 31435, 45007, 95691, 0};
static int joe_kuo_d6_initial_number10814[] = {1, 3, 5, 15, 19, 37, 103, 187, 347, 667, 1957, 1825, 7447, 12359, 21779, 52749, 18679, 0};
static int joe_kuo_d6_initial_number10815[] = {1, 3, 5, 5, 17, 19, 19, 193, 435, 379, 439, 2093, 725, 2133, 15659, 54645, 59567, 0};
static int joe_kuo_d6_initial_number10816[] = {1, 3, 7, 3, 23, 35, 33, 13, 23, 349, 231, 1635, 1625, 5039, 21299, 36413, 104681, 0};
static int joe_kuo_d6_initial_number10817[] = {1, 1, 3, 13, 23, 49, 15, 253, 509, 9, 411, 2157, 3737, 11227, 6021, 42919, 100375, 0};
static int joe_kuo_d6_initial_number10818[] = {1, 1, 7, 1, 17, 11, 33, 167, 219, 63, 137, 741, 4193, 16149, 9657, 50223, 85213, 0};
static int joe_kuo_d6_initial_number10819[] = {1, 3, 7, 11, 23, 59, 113, 149, 427, 697, 1723, 255, 201, 10081, 1079, 323, 109091, 0};
static int joe_kuo_d6_initial_number10820[] = {1, 3, 3, 15, 11, 9, 89, 39, 67, 249, 1939, 1737, 3719, 10515, 16517, 22345, 83959, 0};
static int joe_kuo_d6_initial_number10821[] = {1, 3, 3, 13, 5, 33, 127, 9, 329, 429, 563, 1579, 4427, 8343, 22083, 5035, 124915, 0};
static int joe_kuo_d6_initial_number10822[] = {1, 1, 1, 5, 15, 57, 121, 171, 315, 983, 743, 2015, 2421, 12431, 2561, 13331, 73163, 0};
static int joe_kuo_d6_initial_number10823[] = {1, 1, 3, 9, 1, 39, 85, 159, 23, 979, 1467, 231, 4231, 3669, 16747, 24195, 46745, 0};
static int joe_kuo_d6_initial_number10824[] = {1, 1, 3, 7, 3, 11, 65, 67, 85, 455, 365, 2279, 3471, 12771, 14443, 42773, 28723, 0};
static int joe_kuo_d6_initial_number10825[] = {1, 3, 5, 1, 13, 9, 105, 237, 103, 59, 1301, 3125, 509, 12669, 3893, 9775, 81303, 0};
static int joe_kuo_d6_initial_number10826[] = {1, 1, 3, 11, 19, 9, 125, 23, 191, 979, 533, 429, 3239, 15013, 13833, 40689, 102827, 0};
static int joe_kuo_d6_initial_number10827[] = {1, 3, 3, 7, 15, 5, 83, 243, 467, 913, 1279, 3889, 8049, 8357, 5957, 39073, 93521, 0};
static int joe_kuo_d6_initial_number10828[] = {1, 3, 3, 3, 19, 5, 123, 77, 289, 57, 2001, 807, 5257, 1671, 20273, 10183, 128439, 0};
static int joe_kuo_d6_initial_number10829[] = {1, 1, 7, 13, 19, 45, 25, 47, 135, 929, 1353, 2731, 3351, 7637, 27037, 58835, 50285, 0};
static int joe_kuo_d6_initial_number10830[] = {1, 3, 1, 1, 13, 55, 55, 197, 409, 93, 1351, 161, 1885, 5913, 27937, 49793, 84541, 0};
static int joe_kuo_d6_initial_number10831[] = {1, 1, 3, 7, 29, 21, 113, 179, 203, 533, 1471, 2035, 447, 6781, 28729, 31099, 23027, 0};
static int joe_kuo_d6_initial_number10832[] = {1, 1, 3, 11, 27, 3, 5, 209, 367, 945, 749, 3637, 2881, 8139, 27875, 34223, 97263, 0};
static int joe_kuo_d6_initial_number10833[] = {1, 3, 5, 13, 25, 27, 35, 3, 13, 707, 303, 3663, 6617, 13501, 25537, 33077, 71485, 0};
static int joe_kuo_d6_initial_number10834[] = {1, 1, 7, 15, 11, 29, 65, 47, 235, 635, 133, 153, 6175, 2961, 8171, 28641, 122589, 0};
static int joe_kuo_d6_initial_number10835[] = {1, 1, 5, 15, 17, 41, 85, 147, 323, 673, 1629, 3477, 3341, 16373, 13901, 60961, 39451, 0};
static int joe_kuo_d6_initial_number10836[] = {1, 3, 1, 15, 29, 15, 37, 109, 293, 863, 1835, 1173, 2263, 13815, 24995, 6989, 103417, 0};
static int joe_kuo_d6_initial_number10837[] = {1, 3, 3, 15, 3, 31, 23, 47, 15, 717, 1457, 1067, 6229, 7051, 21771, 54815, 115827, 0};
static int joe_kuo_d6_initial_number10838[] = {1, 1, 1, 13, 21, 3, 45, 239, 89, 603, 407, 781, 8095, 7389, 18035, 32229, 39867, 0};
static int joe_kuo_d6_initial_number10839[] = {1, 1, 3, 7, 7, 59, 79, 51, 411, 917, 803, 2455, 2623, 12413, 23957, 44199, 67903, 0};
static int joe_kuo_d6_initial_number10840[] = {1, 3, 1, 9, 17, 37, 117, 47, 101, 733, 1861, 1111, 6785, 13743, 24371, 49427, 54711, 0};
static int joe_kuo_d6_initial_number10841[] = {1, 3, 1, 15, 27, 63, 107, 33, 351, 287, 1765, 1947, 6209, 8127, 30007, 18757, 31453, 0};
static int joe_kuo_d6_initial_number10842[] = {1, 3, 5, 13, 11, 13, 29, 247, 7, 609, 1235, 1767, 5365, 12673, 10151, 51579, 106407, 0};
static int joe_kuo_d6_initial_number10843[] = {1, 3, 7, 15, 5, 25, 81, 197, 51, 615, 1695, 259, 7983, 1403, 7903, 21441, 73263, 0};
static int joe_kuo_d6_initial_number10844[] = {1, 1, 5, 1, 13, 61, 55, 175, 445, 3, 1957, 1171, 6823, 4285, 11847, 12789, 79787, 0};
static int joe_kuo_d6_initial_number10845[] = {1, 1, 5, 15, 17, 51, 111, 201, 45, 97, 45, 2533, 1125, 3663, 13685, 45719, 51497, 0};
static int joe_kuo_d6_initial_number10846[] = {1, 3, 3, 13, 29, 59, 111, 97, 381, 477, 1229, 3709, 5185, 7055, 32729, 32881, 25539, 0};
static int joe_kuo_d6_initial_number10847[] = {1, 3, 1, 9, 1, 39, 57, 143, 189, 625, 1717, 1755, 3129, 807, 27975, 15511, 66123, 0};
static int joe_kuo_d6_initial_number10848[] = {1, 3, 3, 1, 5, 41, 25, 27, 163, 397, 1595, 2325, 1803, 12439, 25743, 24509, 72613, 0};
static int joe_kuo_d6_initial_number10849[] = {1, 1, 5, 13, 29, 41, 125, 113, 367, 709, 1911, 669, 831, 5375, 31145, 26197, 33543, 0};
static int joe_kuo_d6_initial_number10850[] = {1, 1, 5, 1, 1, 5, 91, 199, 133, 273, 393, 1179, 717, 12791, 17693, 6905, 20433, 0};
static int joe_kuo_d6_initial_number10851[] = {1, 1, 3, 15, 29, 35, 9, 127, 383, 673, 1821, 2765, 2425, 11789, 19741, 43189, 99557, 0};
static int joe_kuo_d6_initial_number10852[] = {1, 1, 7, 13, 9, 19, 119, 103, 11, 983, 623, 391, 1609, 2333, 19843, 28269, 41237, 0};
static int joe_kuo_d6_initial_number10853[] = {1, 3, 7, 5, 29, 3, 13, 213, 387, 361, 749, 669, 1625, 5687, 11369, 38119, 38389, 0};
static int joe_kuo_d6_initial_number10854[] = {1, 3, 5, 13, 13, 51, 47, 33, 1, 979, 1817, 2633, 7181, 47, 3603, 49211, 4377, 0};
static int joe_kuo_d6_initial_number10855[] = {1, 3, 1, 1, 11, 63, 5, 249, 13, 805, 1097, 1449, 5235, 16299, 25855, 30949, 3013, 0};
static int joe_kuo_d6_initial_number10856[] = {1, 3, 7, 9, 29, 35, 89, 135, 475, 945, 999, 771, 6023, 13317, 32611, 43971, 10393, 0};
static int joe_kuo_d6_initial_number10857[] = {1, 1, 1, 5, 23, 3, 37, 117, 95, 985, 1599, 2191, 3617, 5831, 31113, 10873, 112219, 0};
static int joe_kuo_d6_initial_number10858[] = {1, 3, 5, 7, 11, 15, 55, 65, 239, 365, 1209, 3509, 8101, 8619, 24775, 65291, 50589, 0};
static int joe_kuo_d6_initial_number10859[] = {1, 1, 7, 9, 21, 19, 123, 83, 317, 717, 433, 31, 2597, 14723, 28839, 7817, 126123, 0};
static int joe_kuo_d6_initial_number10860[] = {1, 1, 7, 11, 3, 33, 99, 39, 227, 279, 353, 1921, 7883, 16187, 5157, 41121, 89425, 0};
static int joe_kuo_d6_initial_number10861[] = {1, 3, 5, 9, 25, 7, 29, 165, 129, 77, 159, 923, 1357, 1159, 23537, 58087, 56443, 0};
static int joe_kuo_d6_initial_number10862[] = {1, 1, 7, 3, 13, 51, 45, 161, 27, 41, 1295, 2937, 7223, 5271, 17927, 23311, 2543, 0};
static int joe_kuo_d6_initial_number10863[] = {1, 1, 1, 1, 11, 53, 119, 165, 409, 785, 1649, 3587, 259, 10997, 3171, 31271, 104631, 0};
static int joe_kuo_d6_initial_number10864[] = {1, 1, 5, 7, 5, 7, 49, 201, 373, 825, 1755, 3751, 8041, 8133, 21347, 12039, 3049, 0};
static int joe_kuo_d6_initial_number10865[] = {1, 1, 1, 3, 7, 29, 103, 1, 473, 65, 761, 1611, 5121, 14345, 32535, 16679, 11321, 0};
static int joe_kuo_d6_initial_number10866[] = {1, 3, 3, 11, 21, 57, 35, 63, 237, 415, 1943, 483, 5377, 14647, 23433, 45459, 32535, 0};
static int joe_kuo_d6_initial_number10867[] = {1, 1, 1, 15, 21, 57, 7, 103, 493, 279, 665, 3699, 169, 7619, 3571, 11539, 31983, 0};
static int joe_kuo_d6_initial_number10868[] = {1, 1, 1, 1, 9, 5, 81, 159, 105, 927, 379, 1133, 1805, 14341, 9833, 63151, 70877, 0};
static int joe_kuo_d6_initial_number10869[] = {1, 1, 7, 5, 19, 5, 63, 127, 129, 43, 757, 2215, 3899, 643, 19731, 17345, 102611, 0};
static int joe_kuo_d6_initial_number10870[] = {1, 3, 7, 7, 27, 21, 3, 69, 475, 283, 319, 833, 3683, 11275, 18191, 44027, 24901, 0};
static int joe_kuo_d6_initial_number10871[] = {1, 1, 5, 5, 31, 25, 63, 33, 505, 765, 257, 1147, 779, 12505, 19971, 24695, 65935, 0};
static int joe_kuo_d6_initial_number10872[] = {1, 1, 1, 15, 23, 33, 31, 107, 59, 639, 1307, 3211, 6171, 15665, 16775, 61671, 25569, 0};
static int joe_kuo_d6_initial_number10873[] = {1, 3, 3, 9, 31, 3, 113, 199, 425, 895, 1051, 2125, 1525, 15199, 14845, 4213, 18449, 0};
static int joe_kuo_d6_initial_number10874[] = {1, 3, 5, 3, 3, 11, 75, 121, 33, 265, 459, 3879, 909, 6533, 18451, 32421, 117427, 0};
static int joe_kuo_d6_initial_number10875[] = {1, 1, 1, 9, 11, 9, 125, 175, 309, 847, 959, 2013, 1557, 9291, 2963, 43275, 9917, 0};
static int joe_kuo_d6_initial_number10876[] = {1, 1, 5, 3, 15, 39, 67, 35, 373, 601, 463, 1263, 1615, 15059, 31011, 36059, 114493, 0};
static int joe_kuo_d6_initial_number10877[] = {1, 1, 5, 15, 5, 43, 49, 239, 461, 171, 1863, 2249, 2923, 15897, 22941, 29925, 21429, 0};
static int joe_kuo_d6_initial_number10878[] = {1, 1, 1, 15, 13, 31, 127, 205, 361, 149, 1641, 1443, 5959, 13183, 13861, 9533, 1011, 0};
static int joe_kuo_d6_initial_number10879[] = {1, 1, 3, 13, 9, 49, 39, 67, 165, 695, 611, 2261, 3425, 6247, 23575, 51833, 106167, 0};
static int joe_kuo_d6_initial_number10880[] = {1, 1, 7, 9, 29, 21, 75, 251, 87, 263, 2035, 1007, 3821, 12719, 8889, 47901, 39037, 0};
static int joe_kuo_d6_initial_number10881[] = {1, 3, 1, 3, 15, 51, 79, 127, 201, 497, 1881, 3841, 1821, 14435, 4933, 6853, 104305, 0};
static int joe_kuo_d6_initial_number10882[] = {1, 1, 5, 11, 23, 47, 33, 109, 481, 585, 333, 2525, 593, 1625, 5787, 23839, 30647, 0};
static int joe_kuo_d6_initial_number10883[] = {1, 1, 5, 1, 17, 3, 7, 43, 113, 873, 1433, 3377, 45, 831, 17015, 21479, 7257, 0};
static int joe_kuo_d6_initial_number10884[] = {1, 1, 1, 1, 13, 21, 59, 159, 279, 871, 53, 3647, 2599, 12417, 25807, 6867, 18251, 0};
static int joe_kuo_d6_initial_number10885[] = {1, 1, 5, 9, 29, 61, 7, 81, 353, 761, 269, 4047, 3051, 8385, 2919, 18875, 15239, 0};
static int joe_kuo_d6_initial_number10886[] = {1, 1, 7, 13, 31, 17, 71, 103, 107, 655, 1263, 849, 1809, 349, 3239, 45381, 117451, 0};
static int joe_kuo_d6_initial_number10887[] = {1, 1, 5, 9, 27, 45, 83, 207, 117, 77, 437, 523, 851, 13595, 12381, 27271, 59951, 0};
static int joe_kuo_d6_initial_number10888[] = {1, 3, 3, 15, 3, 33, 103, 217, 61, 443, 1077, 2887, 1751, 11111, 465, 37051, 89687, 0};
static int joe_kuo_d6_initial_number10889[] = {1, 1, 1, 5, 15, 15, 13, 115, 275, 565, 1257, 1067, 6561, 8143, 2149, 53169, 123637, 0};
static int joe_kuo_d6_initial_number10890[] = {1, 3, 3, 15, 27, 63, 25, 191, 143, 103, 1247, 1053, 2469, 9823, 4437, 18195, 91751, 0};
static int joe_kuo_d6_initial_number10891[] = {1, 1, 7, 11, 1, 63, 31, 103, 249, 861, 983, 335, 35, 4291, 16307, 43669, 68065, 0};
static int joe_kuo_d6_initial_number10892[] = {1, 3, 1, 15, 13, 29, 51, 145, 177, 851, 39, 3531, 4477, 4243, 3301, 64293, 15741, 0};
static int joe_kuo_d6_initial_number10893[] = {1, 1, 7, 3, 29, 45, 5, 85, 185, 191, 1007, 3085, 2177, 14911, 18319, 265, 25435, 0};
static int joe_kuo_d6_initial_number10894[] = {1, 1, 5, 9, 9, 57, 47, 143, 217, 947, 2021, 1835, 4773, 15145, 26519, 46407, 103667, 0};
static int joe_kuo_d6_initial_number10895[] = {1, 3, 1, 11, 1, 7, 51, 75, 207, 757, 89, 1289, 39, 15641, 9477, 28503, 47113, 0};
static int joe_kuo_d6_initial_number10896[] = {1, 3, 1, 11, 9, 19, 21, 197, 429, 121, 813, 3447, 6091, 3167, 5401, 27791, 26499, 0};
static int joe_kuo_d6_initial_number10897[] = {1, 1, 7, 15, 1, 15, 85, 247, 3, 111, 433, 3103, 5049, 7929, 22645, 53247, 53417, 0};
static int joe_kuo_d6_initial_number10898[] = {1, 1, 7, 7, 27, 19, 125, 101, 269, 7, 777, 1289, 1429, 11561, 18043, 3601, 125857, 0};
static int joe_kuo_d6_initial_number10899[] = {1, 1, 1, 13, 11, 9, 127, 231, 239, 435, 1291, 4025, 1049, 15549, 7577, 51147, 38121, 0};
static int joe_kuo_d6_initial_number10900[] = {1, 1, 7, 3, 9, 55, 57, 137, 387, 565, 873, 1417, 5993, 4849, 1731, 51653, 105697, 0};
static int joe_kuo_d6_initial_number10901[] = {1, 1, 7, 9, 7, 47, 115, 119, 325, 881, 1687, 1009, 7007, 12541, 6737, 28471, 7369, 0};
static int joe_kuo_d6_initial_number10902[] = {1, 3, 1, 1, 11, 47, 25, 163, 399, 977, 1777, 727, 5575, 1311, 23843, 2199, 93229, 0};
static int joe_kuo_d6_initial_number10903[] = {1, 1, 7, 5, 13, 19, 53, 123, 439, 585, 1977, 3387, 5305, 1463, 14307, 9519, 537, 0};
static int joe_kuo_d6_initial_number10904[] = {1, 1, 7, 15, 1, 53, 13, 213, 323, 699, 1585, 3499, 2441, 3055, 31263, 63923, 9779, 0};
static int joe_kuo_d6_initial_number10905[] = {1, 1, 5, 5, 21, 43, 123, 43, 475, 521, 1301, 3185, 5627, 7443, 1195, 39485, 113125, 0};
static int joe_kuo_d6_initial_number10906[] = {1, 1, 5, 7, 9, 3, 39, 5, 237, 719, 1743, 1153, 6401, 14701, 5503, 38491, 24123, 0};
static int joe_kuo_d6_initial_number10907[] = {1, 3, 5, 9, 17, 33, 117, 23, 409, 63, 1829, 2587, 3489, 3209, 4775, 40069, 4721, 0};
static int joe_kuo_d6_initial_number10908[] = {1, 3, 3, 5, 21, 63, 95, 231, 25, 167, 1181, 813, 4591, 5227, 21999, 19633, 37547, 0};
static int joe_kuo_d6_initial_number10909[] = {1, 1, 7, 11, 13, 9, 13, 147, 239, 951, 1247, 1199, 7907, 12493, 25371, 1917, 107499, 0};
static int joe_kuo_d6_initial_number10910[] = {1, 1, 5, 15, 3, 49, 31, 103, 189, 561, 1763, 3941, 3525, 3165, 7789, 57729, 92635, 0};
static int joe_kuo_d6_initial_number10911[] = {1, 1, 1, 5, 3, 61, 107, 163, 465, 631, 1519, 169, 4469, 8153, 11039, 247, 37657, 0};
static int joe_kuo_d6_initial_number10912[] = {1, 3, 1, 5, 9, 37, 51, 195, 465, 975, 169, 1077, 995, 2669, 7663, 28997, 25779, 0};
static int joe_kuo_d6_initial_number10913[] = {1, 1, 7, 13, 7, 37, 3, 117, 147, 335, 629, 4077, 5855, 2893, 5629, 55075, 83359, 0};
static int joe_kuo_d6_initial_number10914[] = {1, 1, 5, 9, 9, 25, 53, 63, 315, 287, 1833, 1397, 2395, 5719, 6719, 18003, 101073, 0};
static int joe_kuo_d6_initial_number10915[] = {1, 1, 7, 1, 13, 19, 13, 81, 497, 399, 413, 2411, 3915, 14037, 19735, 4587, 69655, 0};
static int joe_kuo_d6_initial_number10916[] = {1, 3, 1, 7, 5, 61, 101, 209, 299, 729, 1359, 4013, 2057, 8439, 8113, 57417, 8951, 0};
static int joe_kuo_d6_initial_number10917[] = {1, 3, 5, 7, 29, 21, 67, 73, 107, 359, 1655, 3729, 4403, 10467, 28103, 10261, 74651, 0};
static int joe_kuo_d6_initial_number10918[] = {1, 1, 1, 9, 3, 39, 25, 91, 287, 497, 1743, 339, 4739, 1709, 16351, 45385, 64693, 0};
static int joe_kuo_d6_initial_number10919[] = {1, 3, 1, 1, 7, 13, 41, 93, 49, 285, 997, 891, 4353, 4249, 11269, 36935, 71249, 0};
static int joe_kuo_d6_initial_number10920[] = {1, 3, 3, 13, 13, 23, 97, 231, 101, 93, 1183, 201, 6795, 16287, 30707, 20845, 105873, 0};
static int joe_kuo_d6_initial_number10921[] = {1, 1, 1, 9, 7, 57, 123, 167, 451, 245, 1887, 1839, 2967, 2387, 15075, 11877, 629, 0};
static int joe_kuo_d6_initial_number10922[] = {1, 3, 3, 1, 13, 13, 83, 41, 219, 313, 1743, 1265, 4435, 11731, 17625, 64235, 24865, 0};
static int joe_kuo_d6_initial_number10923[] = {1, 3, 1, 9, 13, 17, 109, 235, 387, 581, 887, 1071, 603, 10955, 5001, 8419, 20997, 0};
static int joe_kuo_d6_initial_number10924[] = {1, 3, 1, 5, 31, 55, 1, 219, 27, 623, 1425, 1309, 5409, 9633, 3231, 15029, 22989, 0};
static int joe_kuo_d6_initial_number10925[] = {1, 3, 3, 13, 25, 47, 23, 223, 283, 189, 1665, 3743, 387, 1807, 16919, 8511, 15933, 0};
static int joe_kuo_d6_initial_number10926[] = {1, 1, 1, 1, 13, 11, 81, 59, 423, 1007, 317, 2761, 2617, 9715, 24853, 63585, 77083, 0};
static int joe_kuo_d6_initial_number10927[] = {1, 3, 1, 3, 3, 11, 103, 123, 401, 467, 1159, 2725, 3275, 15513, 2281, 21617, 87211, 0};
static int joe_kuo_d6_initial_number10928[] = {1, 1, 5, 7, 23, 17, 25, 83, 11, 901, 809, 3233, 3929, 8685, 7609, 50949, 104841, 0};
static int joe_kuo_d6_initial_number10929[] = {1, 3, 7, 1, 15, 33, 37, 245, 275, 453, 729, 721, 1589, 5417, 29839, 57315, 67227, 0};
static int joe_kuo_d6_initial_number10930[] = {1, 3, 7, 3, 21, 17, 51, 213, 225, 471, 1201, 931, 1229, 9503, 5507, 4057, 7737, 0};
static int joe_kuo_d6_initial_number10931[] = {1, 3, 1, 11, 29, 55, 19, 193, 9, 151, 597, 1377, 827, 8549, 1293, 10963, 86183, 0};
static int joe_kuo_d6_initial_number10932[] = {1, 3, 3, 15, 17, 23, 89, 47, 195, 333, 2001, 1001, 6715, 9797, 21631, 5723, 88847, 0};
static int joe_kuo_d6_initial_number10933[] = {1, 3, 5, 9, 21, 33, 111, 101, 503, 513, 785, 1947, 1139, 7921, 13189, 34831, 80963, 0};
static int joe_kuo_d6_initial_number10934[] = {1, 3, 3, 13, 9, 61, 35, 39, 451, 485, 661, 1993, 4705, 9477, 32541, 16553, 33167, 0};
static int joe_kuo_d6_initial_number10935[] = {1, 3, 3, 9, 29, 37, 115, 87, 367, 325, 539, 1975, 6769, 1453, 31099, 3335, 16939, 0};
static int joe_kuo_d6_initial_number10936[] = {1, 1, 1, 7, 15, 21, 113, 203, 97, 847, 625, 847, 1819, 1109, 14503, 25319, 100259, 0};
static int joe_kuo_d6_initial_number10937[] = {1, 1, 5, 11, 9, 13, 65, 21, 429, 865, 513, 2183, 3785, 11817, 6283, 23041, 7969, 0};
static int joe_kuo_d6_initial_number10938[] = {1, 1, 5, 13, 1, 41, 109, 43, 91, 211, 1477, 3543, 5217, 3133, 12503, 15523, 12917, 0};
static int joe_kuo_d6_initial_number10939[] = {1, 3, 7, 9, 23, 53, 109, 89, 229, 939, 1211, 2771, 541, 15915, 5411, 47273, 54453, 0};
static int joe_kuo_d6_initial_number10940[] = {1, 1, 1, 3, 3, 45, 31, 63, 99, 347, 17, 523, 441, 12325, 15673, 1887, 15289, 0};
static int joe_kuo_d6_initial_number10941[] = {1, 1, 1, 7, 29, 61, 35, 115, 345, 1011, 5, 595, 465, 3897, 28147, 791, 98757, 0};
static int joe_kuo_d6_initial_number10942[] = {1, 1, 5, 9, 27, 1, 21, 155, 467, 469, 1565, 1439, 5809, 851, 32503, 3025, 97231, 0};
static int joe_kuo_d6_initial_number10943[] = {1, 1, 1, 9, 3, 17, 15, 73, 487, 1011, 63, 2605, 6647, 9385, 4527, 21993, 19783, 0};
static int joe_kuo_d6_initial_number10944[] = {1, 1, 3, 9, 17, 17, 65, 75, 175, 897, 1317, 2593, 1495, 15835, 12025, 57457, 29577, 0};
static int joe_kuo_d6_initial_number10945[] = {1, 1, 1, 13, 7, 1, 13, 145, 491, 427, 375, 1235, 3045, 2991, 26607, 30581, 43377, 0};
static int joe_kuo_d6_initial_number10946[] = {1, 1, 1, 1, 31, 1, 75, 235, 345, 75, 1505, 1401, 6921, 6207, 13729, 21545, 34703, 0};
static int joe_kuo_d6_initial_number10947[] = {1, 3, 7, 9, 31, 35, 53, 233, 85, 385, 2045, 1401, 5365, 827, 13093, 41097, 97381, 0};
static int joe_kuo_d6_initial_number10948[] = {1, 3, 7, 15, 5, 9, 19, 125, 49, 29, 1553, 675, 3947, 4775, 8161, 12321, 55191, 0};
static int joe_kuo_d6_initial_number10949[] = {1, 3, 3, 7, 17, 17, 27, 237, 87, 927, 275, 1965, 4993, 1429, 31613, 38403, 119319, 0};
static int joe_kuo_d6_initial_number10950[] = {1, 3, 7, 13, 25, 61, 87, 133, 37, 725, 697, 371, 7607, 13861, 8015, 63997, 25745, 0};
static int joe_kuo_d6_initial_number10951[] = {1, 1, 5, 3, 1, 29, 115, 53, 355, 533, 1711, 3863, 6983, 4849, 15787, 38933, 100299, 0};
static int joe_kuo_d6_initial_number10952[] = {1, 1, 3, 5, 7, 11, 95, 21, 363, 1005, 425, 3497, 841, 8251, 11933, 47783, 122699, 0};
static int joe_kuo_d6_initial_number10953[] = {1, 1, 1, 11, 15, 41, 23, 159, 191, 433, 919, 3151, 5311, 2061, 11277, 4947, 10549, 0};
static int joe_kuo_d6_initial_number10954[] = {1, 1, 5, 1, 29, 57, 23, 239, 179, 821, 1825, 1745, 4357, 4041, 27517, 8557, 86969, 0};
static int joe_kuo_d6_initial_number10955[] = {1, 3, 1, 13, 3, 45, 91, 21, 221, 203, 683, 1787, 375, 4101, 13555, 43269, 8063, 0};
static int joe_kuo_d6_initial_number10956[] = {1, 1, 5, 15, 17, 61, 95, 95, 285, 597, 1967, 4061, 389, 3813, 6061, 50261, 56035, 0};
static int joe_kuo_d6_initial_number10957[] = {1, 1, 7, 9, 9, 35, 103, 255, 239, 77, 145, 4089, 757, 16151, 29963, 1229, 31895, 0};
static int joe_kuo_d6_initial_number10958[] = {1, 1, 7, 7, 29, 51, 63, 105, 55, 609, 665, 2101, 4605, 7085, 18543, 64221, 102503, 0};
static int joe_kuo_d6_initial_number10959[] = {1, 1, 3, 9, 23, 49, 83, 71, 191, 917, 39, 1013, 4689, 2407, 1733, 31113, 31263, 0};
static int joe_kuo_d6_initial_number10960[] = {1, 1, 5, 11, 31, 51, 17, 223, 325, 829, 541, 3561, 5319, 15397, 12479, 57199, 38611, 0};
static int joe_kuo_d6_initial_number10961[] = {1, 3, 1, 3, 19, 57, 19, 191, 427, 905, 1111, 695, 5447, 4061, 25543, 45699, 113283, 0};
static int joe_kuo_d6_initial_number10962[] = {1, 1, 3, 7, 5, 11, 59, 249, 375, 889, 563, 2757, 5857, 3595, 23183, 1785, 105017, 0};
static int joe_kuo_d6_initial_number10963[] = {1, 3, 5, 7, 11, 55, 95, 167, 27, 823, 903, 2403, 1137, 3209, 6313, 61871, 129865, 0};
static int joe_kuo_d6_initial_number10964[] = {1, 1, 3, 11, 25, 3, 89, 171, 209, 409, 1357, 3825, 5261, 10805, 13493, 3303, 129987, 0};
static int joe_kuo_d6_initial_number10965[] = {1, 1, 5, 1, 23, 21, 3, 207, 471, 375, 1785, 2555, 1613, 16235, 1585, 48221, 10197, 0};
static int joe_kuo_d6_initial_number10966[] = {1, 1, 1, 15, 13, 33, 89, 185, 331, 239, 1401, 789, 2687, 15193, 20911, 18935, 28751, 0};
static int joe_kuo_d6_initial_number10967[] = {1, 1, 1, 13, 27, 19, 111, 139, 385, 531, 1069, 2343, 7405, 10305, 7049, 48215, 77591, 0};
static int joe_kuo_d6_initial_number10968[] = {1, 3, 7, 13, 23, 9, 113, 107, 441, 265, 1617, 63, 7629, 5505, 7059, 47307, 82527, 0};
static int joe_kuo_d6_initial_number10969[] = {1, 3, 1, 9, 27, 27, 35, 233, 189, 517, 1285, 1843, 1569, 14921, 6617, 44337, 46917, 0};
static int joe_kuo_d6_initial_number10970[] = {1, 1, 3, 15, 7, 15, 9, 255, 109, 629, 437, 3601, 6591, 10873, 1765, 46459, 110991, 0};
static int joe_kuo_d6_initial_number10971[] = {1, 1, 5, 15, 17, 13, 115, 97, 401, 979, 1139, 2607, 6537, 5369, 17775, 7657, 57175, 0};
static int joe_kuo_d6_initial_number10972[] = {1, 1, 5, 15, 27, 15, 43, 95, 271, 945, 1205, 3505, 7403, 13203, 27259, 24821, 62921, 0};
static int joe_kuo_d6_initial_number10973[] = {1, 1, 7, 15, 9, 13, 53, 177, 93, 169, 1933, 1101, 4847, 15477, 22107, 13009, 93675, 0};
static int joe_kuo_d6_initial_number10974[] = {1, 3, 1, 3, 13, 57, 121, 229, 353, 449, 769, 1207, 557, 5673, 13129, 29383, 35925, 0};
static int joe_kuo_d6_initial_number10975[] = {1, 3, 3, 1, 31, 33, 5, 87, 461, 873, 795, 2715, 1421, 14723, 17917, 20681, 46103, 0};
static int joe_kuo_d6_initial_number10976[] = {1, 1, 7, 3, 29, 5, 49, 215, 341, 25, 1473, 177, 1443, 14181, 26723, 49143, 73461, 0};
static int joe_kuo_d6_initial_number10977[] = {1, 3, 1, 5, 17, 53, 5, 27, 1, 325, 1335, 2941, 7195, 8179, 26971, 63469, 49357, 0};
static int joe_kuo_d6_initial_number10978[] = {1, 3, 5, 3, 3, 5, 29, 241, 119, 415, 1371, 3201, 2815, 15567, 32521, 18635, 2101, 0};
static int joe_kuo_d6_initial_number10979[] = {1, 3, 1, 3, 7, 13, 127, 157, 271, 403, 187, 3663, 4073, 12613, 1305, 31061, 48361, 0};
static int joe_kuo_d6_initial_number10980[] = {1, 1, 3, 5, 1, 39, 41, 201, 113, 923, 621, 497, 3823, 12543, 27273, 58509, 21613, 0};
static int joe_kuo_d6_initial_number10981[] = {1, 1, 1, 11, 5, 51, 93, 39, 345, 175, 679, 617, 3445, 8591, 4017, 5147, 88847, 0};
static int joe_kuo_d6_initial_number10982[] = {1, 1, 7, 7, 7, 9, 63, 7, 89, 711, 487, 69, 447, 3355, 31929, 34719, 93629, 0};
static int joe_kuo_d6_initial_number10983[] = {1, 3, 1, 3, 27, 11, 51, 11, 471, 889, 1935, 2185, 1277, 3127, 8853, 17839, 40279, 0};
static int joe_kuo_d6_initial_number10984[] = {1, 3, 3, 15, 25, 35, 71, 213, 121, 935, 1601, 537, 5753, 8743, 15243, 59545, 60399, 0};
static int joe_kuo_d6_initial_number10985[] = {1, 1, 3, 15, 31, 41, 51, 205, 123, 215, 305, 3777, 4103, 7275, 21603, 56853, 54575, 0};
static int joe_kuo_d6_initial_number10986[] = {1, 3, 7, 9, 17, 19, 37, 59, 193, 303, 1079, 3627, 6503, 14649, 10283, 64469, 83677, 0};
static int joe_kuo_d6_initial_number10987[] = {1, 3, 1, 5, 11, 3, 115, 139, 213, 307, 721, 1611, 5093, 11817, 32503, 38559, 38449, 0};
static int joe_kuo_d6_initial_number10988[] = {1, 3, 1, 1, 17, 31, 41, 113, 135, 733, 723, 2021, 7397, 15917, 15741, 7295, 69885, 0};
static int joe_kuo_d6_initial_number10989[] = {1, 1, 7, 11, 31, 3, 125, 77, 89, 793, 1441, 1527, 457, 9457, 13581, 62979, 125279, 0};
static int joe_kuo_d6_initial_number10990[] = {1, 1, 1, 5, 9, 17, 19, 115, 43, 395, 183, 2091, 7021, 7555, 20165, 45165, 58925, 0};
static int joe_kuo_d6_initial_number10991[] = {1, 1, 1, 15, 23, 37, 97, 45, 357, 201, 425, 3605, 5305, 10079, 16397, 40635, 15355, 0};
static int joe_kuo_d6_initial_number10992[] = {1, 1, 3, 7, 3, 43, 65, 89, 51, 801, 917, 2835, 5675, 2347, 16587, 19701, 68655, 0};
static int joe_kuo_d6_initial_number10993[] = {1, 3, 7, 13, 11, 59, 93, 155, 53, 435, 165, 3231, 429, 12757, 27033, 14081, 12625, 0};
static int joe_kuo_d6_initial_number10994[] = {1, 3, 1, 15, 15, 33, 121, 157, 271, 295, 901, 1689, 709, 13395, 17773, 14397, 37743, 0};
static int joe_kuo_d6_initial_number10995[] = {1, 1, 1, 3, 7, 17, 125, 113, 223, 603, 425, 3213, 2781, 2921, 15181, 18649, 93493, 0};
static int joe_kuo_d6_initial_number10996[] = {1, 3, 3, 5, 1, 25, 3, 101, 151, 435, 1339, 1207, 7687, 12579, 29331, 4653, 67353, 0};
static int joe_kuo_d6_initial_number10997[] = {1, 1, 7, 1, 29, 53, 101, 61, 31, 633, 1899, 3919, 1879, 3143, 25319, 45809, 77425, 0};
static int joe_kuo_d6_initial_number10998[] = {1, 1, 5, 1, 17, 31, 79, 247, 77, 197, 1693, 313, 2183, 14343, 4511, 26009, 44943, 0};
static int joe_kuo_d6_initial_number10999[] = {1, 1, 7, 5, 31, 29, 119, 251, 345, 867, 271, 165, 6425, 8343, 11251, 28125, 34849, 0};
static int joe_kuo_d6_initial_number11000[] = {1, 3, 1, 1, 13, 35, 9, 103, 365, 675, 1653, 4095, 3123, 8245, 4679, 18951, 88543, 0};
static int joe_kuo_d6_initial_number11001[] = {1, 1, 1, 1, 23, 29, 109, 157, 253, 751, 145, 2077, 4555, 7523, 30099, 37709, 97369, 0};
static int joe_kuo_d6_initial_number11002[] = {1, 3, 3, 11, 5, 1, 51, 11, 203, 963, 1961, 351, 6697, 8137, 25933, 53505, 28531, 0};
static int joe_kuo_d6_initial_number11003[] = {1, 1, 7, 15, 27, 1, 31, 159, 447, 501, 1873, 2845, 875, 1671, 5049, 38901, 32559, 0};
static int joe_kuo_d6_initial_number11004[] = {1, 1, 3, 3, 29, 19, 33, 83, 71, 703, 1861, 3683, 3589, 15339, 21075, 40399, 47853, 0};
static int joe_kuo_d6_initial_number11005[] = {1, 3, 3, 7, 5, 41, 61, 181, 319, 77, 777, 2537, 3887, 2687, 29227, 55217, 55813, 0};
static int joe_kuo_d6_initial_number11006[] = {1, 3, 3, 1, 25, 41, 23, 31, 31, 775, 693, 891, 861, 7613, 9557, 43275, 36311, 0};
static int joe_kuo_d6_initial_number11007[] = {1, 1, 7, 13, 11, 5, 99, 217, 81, 441, 765, 3981, 2921, 9657, 6905, 30657, 18395, 0};
static int joe_kuo_d6_initial_number11008[] = {1, 3, 1, 11, 21, 55, 25, 209, 13, 1021, 1373, 785, 3243, 1541, 12033, 17309, 116517, 0};
static int joe_kuo_d6_initial_number11009[] = {1, 1, 1, 7, 3, 3, 61, 113, 453, 405, 1321, 2327, 3529, 12779, 11707, 55795, 105137, 0};
static int joe_kuo_d6_initial_number11010[] = {1, 3, 1, 13, 15, 53, 17, 189, 197, 459, 1999, 935, 7835, 9563, 31231, 47757, 80807, 0};
static int joe_kuo_d6_initial_number11011[] = {1, 3, 5, 13, 11, 15, 91, 115, 427, 723, 1815, 3527, 5917, 4931, 28297, 12257, 5587, 0};
static int joe_kuo_d6_initial_number11012[] = {1, 1, 5, 9, 31, 5, 77, 201, 373, 143, 581, 1199, 6807, 6059, 3133, 57069, 4895, 0};
static int joe_kuo_d6_initial_number11013[] = {1, 3, 1, 9, 17, 13, 127, 61, 235, 991, 279, 1545, 2875, 8453, 13329, 39763, 66897, 0};
static int joe_kuo_d6_initial_number11014[] = {1, 1, 3, 15, 31, 51, 3, 95, 221, 685, 635, 1747, 177, 9781, 4859, 45345, 37607, 0};
static int joe_kuo_d6_initial_number11015[] = {1, 3, 5, 1, 3, 55, 63, 51, 63, 707, 883, 2985, 3699, 3881, 8159, 41775, 41411, 0};
static int joe_kuo_d6_initial_number11016[] = {1, 1, 1, 11, 3, 41, 69, 181, 413, 33, 525, 1883, 6063, 13787, 1259, 19497, 8119, 0};
static int joe_kuo_d6_initial_number11017[] = {1, 1, 5, 15, 13, 27, 65, 63, 117, 831, 855, 369, 1005, 9069, 16179, 32027, 6527, 0};
static int joe_kuo_d6_initial_number11018[] = {1, 3, 7, 5, 25, 51, 63, 163, 101, 299, 1637, 641, 2077, 9195, 11181, 59783, 109481, 0};
static int joe_kuo_d6_initial_number11019[] = {1, 3, 5, 13, 27, 13, 117, 253, 257, 919, 709, 411, 5525, 1247, 19951, 51423, 34605, 0};
static int joe_kuo_d6_initial_number11020[] = {1, 1, 5, 5, 1, 37, 49, 125, 87, 291, 339, 3235, 1477, 9787, 19637, 22855, 103013, 0};
static int joe_kuo_d6_initial_number11021[] = {1, 3, 7, 15, 25, 17, 77, 23, 303, 739, 1921, 1425, 6451, 9521, 6311, 38551, 123683, 0};
static int joe_kuo_d6_initial_number11022[] = {1, 3, 1, 7, 13, 19, 33, 73, 347, 85, 1693, 3671, 713, 1191, 3285, 6815, 61833, 0};
static int joe_kuo_d6_initial_number11023[] = {1, 1, 3, 3, 13, 53, 81, 177, 305, 967, 551, 1177, 2315, 4899, 5733, 11147, 128895, 0};
static int joe_kuo_d6_initial_number11024[] = {1, 3, 5, 3, 17, 17, 93, 173, 417, 645, 1631, 1817, 6127, 3545, 6127, 22331, 59751, 0};
static int joe_kuo_d6_initial_number11025[] = {1, 1, 5, 11, 7, 53, 61, 117, 133, 141, 283, 3351, 6745, 599, 7221, 50583, 9067, 0};
static int joe_kuo_d6_initial_number11026[] = {1, 3, 7, 3, 29, 45, 71, 177, 97, 897, 589, 3319, 1821, 7207, 25715, 13043, 96695, 0};
static int joe_kuo_d6_initial_number11027[] = {1, 3, 3, 1, 13, 39, 19, 49, 419, 905, 1063, 4023, 145, 1479, 22197, 43883, 45503, 0};
static int joe_kuo_d6_initial_number11028[] = {1, 3, 3, 15, 9, 45, 45, 201, 61, 193, 375, 2439, 2339, 15981, 5197, 6285, 109389, 0};
static int joe_kuo_d6_initial_number11029[] = {1, 1, 7, 13, 29, 51, 93, 223, 509, 1003, 1861, 3715, 2511, 13843, 25297, 1241, 12157, 0};
static int joe_kuo_d6_initial_number11030[] = {1, 3, 5, 15, 19, 17, 95, 243, 251, 485, 1837, 1829, 2081, 15117, 29635, 63861, 100397, 0};
static int joe_kuo_d6_initial_number11031[] = {1, 1, 7, 3, 1, 37, 31, 53, 483, 849, 1197, 3069, 2539, 2529, 12749, 64331, 45757, 0};
static int joe_kuo_d6_initial_number11032[] = {1, 3, 7, 7, 1, 19, 25, 243, 335, 99, 1507, 2155, 6085, 2253, 32439, 16141, 6781, 0};
static int joe_kuo_d6_initial_number11033[] = {1, 3, 7, 15, 9, 13, 35, 63, 371, 373, 1891, 3913, 4577, 15553, 13079, 60251, 71193, 0};
static int joe_kuo_d6_initial_number11034[] = {1, 3, 1, 7, 15, 13, 105, 113, 409, 289, 57, 1095, 791, 15675, 21471, 42851, 29203, 0};
static int joe_kuo_d6_initial_number11035[] = {1, 1, 1, 13, 1, 57, 65, 7, 153, 929, 1325, 229, 3841, 8967, 29889, 49427, 46853, 0};
static int joe_kuo_d6_initial_number11036[] = {1, 1, 3, 11, 29, 1, 79, 111, 479, 931, 1619, 505, 4503, 4055, 18849, 3979, 46091, 0};
static int joe_kuo_d6_initial_number11037[] = {1, 1, 7, 3, 31, 27, 127, 63, 219, 43, 883, 1265, 5733, 9051, 17059, 61625, 93843, 0};
static int joe_kuo_d6_initial_number11038[] = {1, 1, 7, 7, 23, 21, 35, 211, 243, 399, 1225, 1415, 5923, 2143, 25303, 36171, 126349, 0};
static int joe_kuo_d6_initial_number11039[] = {1, 3, 1, 3, 3, 13, 77, 205, 271, 393, 769, 2101, 4045, 6159, 3409, 44065, 102799, 0};
static int joe_kuo_d6_initial_number11040[] = {1, 1, 5, 15, 19, 1, 67, 199, 367, 51, 495, 2051, 3195, 15239, 10525, 45319, 50489, 0};
static int joe_kuo_d6_initial_number11041[] = {1, 1, 1, 9, 3, 19, 105, 147, 417, 399, 373, 1025, 2727, 13779, 30079, 22723, 41551, 0};
static int joe_kuo_d6_initial_number11042[] = {1, 1, 3, 1, 9, 15, 105, 95, 267, 995, 275, 2627, 3883, 10785, 8075, 40591, 54647, 0};
static int joe_kuo_d6_initial_number11043[] = {1, 1, 1, 5, 31, 37, 117, 185, 55, 273, 525, 445, 4221, 2081, 16017, 19859, 3297, 0};
static int joe_kuo_d6_initial_number11044[] = {1, 3, 5, 13, 21, 13, 105, 231, 461, 831, 393, 3253, 1213, 2625, 3393, 36715, 104889, 0};
static int joe_kuo_d6_initial_number11045[] = {1, 3, 5, 15, 1, 17, 103, 129, 257, 1003, 285, 2927, 3967, 53, 5197, 39665, 50751, 0};
static int joe_kuo_d6_initial_number11046[] = {1, 1, 1, 13, 1, 61, 47, 255, 137, 849, 213, 301, 681, 9547, 28209, 32941, 72109, 0};
static int joe_kuo_d6_initial_number11047[] = {1, 1, 7, 11, 31, 15, 81, 117, 327, 289, 1861, 861, 6189, 13425, 18279, 7635, 116969, 0};
static int joe_kuo_d6_initial_number11048[] = {1, 3, 3, 3, 9, 11, 13, 181, 183, 621, 329, 2751, 3989, 6345, 20319, 52267, 79695, 0};
static int joe_kuo_d6_initial_number11049[] = {1, 1, 7, 13, 9, 1, 5, 125, 1, 735, 691, 13, 3961, 2273, 18299, 65221, 20115, 0};
static int joe_kuo_d6_initial_number11050[] = {1, 3, 7, 1, 7, 3, 87, 115, 241, 101, 523, 3019, 7571, 7721, 27409, 49751, 97859, 0};
static int joe_kuo_d6_initial_number11051[] = {1, 3, 5, 11, 9, 5, 33, 59, 299, 191, 307, 2115, 2823, 10187, 10437, 34137, 93217, 0};
static int joe_kuo_d6_initial_number11052[] = {1, 3, 3, 7, 21, 31, 5, 113, 77, 215, 177, 2029, 7241, 4465, 31489, 10165, 19035, 0};
static int joe_kuo_d6_initial_number11053[] = {1, 3, 5, 1, 27, 63, 11, 161, 435, 941, 1593, 1765, 1519, 9111, 12787, 35961, 105263, 0};
static int joe_kuo_d6_initial_number11054[] = {1, 1, 1, 9, 11, 57, 41, 229, 387, 617, 1991, 221, 2857, 4337, 13851, 23185, 111031, 0};
static int joe_kuo_d6_initial_number11055[] = {1, 1, 3, 5, 21, 27, 125, 83, 129, 919, 65, 403, 2981, 10111, 17017, 24829, 12205, 0};
static int joe_kuo_d6_initial_number11056[] = {1, 3, 3, 9, 25, 19, 109, 47, 199, 395, 1909, 2819, 5361, 6629, 7067, 18755, 17921, 0};
static int joe_kuo_d6_initial_number11057[] = {1, 1, 3, 15, 25, 37, 111, 129, 409, 291, 1403, 2785, 3819, 10245, 24647, 64799, 64951, 0};
static int joe_kuo_d6_initial_number11058[] = {1, 3, 5, 11, 1, 7, 105, 223, 427, 661, 1817, 1023, 145, 927, 6507, 13235, 30147, 0};
static int joe_kuo_d6_initial_number11059[] = {1, 3, 5, 13, 7, 15, 65, 125, 121, 113, 923, 2729, 1397, 14247, 8487, 54907, 41921, 0};
static int joe_kuo_d6_initial_number11060[] = {1, 1, 5, 1, 13, 15, 47, 111, 453, 375, 1705, 1539, 4103, 601, 7499, 33287, 123689, 0};
static int joe_kuo_d6_initial_number11061[] = {1, 1, 5, 3, 21, 11, 87, 115, 483, 617, 1593, 2817, 6519, 16203, 361, 34415, 100829, 0};
static int joe_kuo_d6_initial_number11062[] = {1, 3, 7, 15, 23, 25, 41, 193, 473, 517, 1195, 3627, 1089, 13391, 3653, 25637, 5643, 0};
static int joe_kuo_d6_initial_number11063[] = {1, 3, 1, 1, 13, 57, 29, 175, 35, 107, 5, 3641, 1843, 1507, 7591, 39967, 66859, 0};
static int joe_kuo_d6_initial_number11064[] = {1, 1, 3, 13, 1, 39, 31, 11, 493, 123, 523, 843, 133, 7971, 14131, 51927, 97943, 0};
static int joe_kuo_d6_initial_number11065[] = {1, 1, 3, 7, 23, 45, 5, 195, 195, 683, 497, 1215, 5855, 14569, 20441, 29541, 30431, 0};
static int joe_kuo_d6_initial_number11066[] = {1, 3, 1, 11, 31, 39, 127, 187, 187, 17, 817, 907, 4657, 8223, 13305, 36489, 28909, 0};
static int joe_kuo_d6_initial_number11067[] = {1, 1, 7, 13, 9, 1, 59, 27, 449, 887, 39, 191, 803, 2339, 5213, 2611, 93175, 0};
static int joe_kuo_d6_initial_number11068[] = {1, 1, 1, 1, 29, 17, 105, 13, 175, 401, 1145, 297, 6873, 889, 10301, 48993, 49959, 0};
static int joe_kuo_d6_initial_number11069[] = {1, 3, 5, 5, 1, 57, 81, 81, 403, 719, 1887, 2597, 1069, 5219, 29767, 46905, 8025, 0};
static int joe_kuo_d6_initial_number11070[] = {1, 1, 5, 11, 13, 37, 41, 3, 487, 895, 343, 1729, 3777, 8681, 24737, 34179, 15015, 0};
static int joe_kuo_d6_initial_number11071[] = {1, 1, 1, 15, 9, 43, 67, 203, 71, 399, 23, 529, 2375, 15373, 21013, 17389, 93809, 0};
static int joe_kuo_d6_initial_number11072[] = {1, 3, 7, 7, 9, 23, 81, 27, 39, 529, 631, 199, 3555, 953, 4249, 39297, 88107, 0};
static int joe_kuo_d6_initial_number11073[] = {1, 3, 1, 3, 31, 45, 33, 63, 319, 245, 1567, 3359, 2051, 11523, 30177, 20293, 13245, 0};
static int joe_kuo_d6_initial_number11074[] = {1, 1, 1, 13, 9, 61, 39, 127, 453, 1019, 2037, 3541, 6983, 10717, 19587, 8981, 99637, 0};
static int joe_kuo_d6_initial_number11075[] = {1, 3, 5, 9, 15, 7, 55, 79, 93, 303, 1423, 499, 5499, 795, 14553, 16945, 46161, 0};
static int joe_kuo_d6_initial_number11076[] = {1, 1, 7, 5, 21, 21, 27, 201, 147, 461, 363, 267, 2963, 3409, 17835, 40777, 71879, 0};
static int joe_kuo_d6_initial_number11077[] = {1, 1, 7, 9, 23, 63, 115, 243, 103, 119, 2023, 2223, 7989, 1365, 26181, 4631, 88001, 0};
static int joe_kuo_d6_initial_number11078[] = {1, 3, 5, 5, 27, 57, 101, 199, 461, 853, 449, 2733, 2225, 8609, 19461, 15265, 54079, 0};
static int joe_kuo_d6_initial_number11079[] = {1, 3, 3, 15, 29, 59, 115, 105, 145, 391, 303, 901, 5481, 1491, 30441, 22331, 3841, 0};
static int joe_kuo_d6_initial_number11080[] = {1, 1, 3, 1, 27, 45, 11, 167, 73, 181, 253, 1947, 1731, 15269, 16971, 12299, 46439, 0};
static int joe_kuo_d6_initial_number11081[] = {1, 1, 7, 13, 11, 21, 83, 157, 75, 705, 1709, 487, 5029, 9879, 27589, 21601, 50575, 0};
static int joe_kuo_d6_initial_number11082[] = {1, 1, 5, 3, 27, 37, 101, 163, 115, 903, 1137, 3807, 2899, 3407, 27935, 14203, 31009, 0};
static int joe_kuo_d6_initial_number11083[] = {1, 3, 5, 9, 31, 33, 63, 69, 159, 737, 1973, 3661, 6159, 1781, 9239, 12989, 82947, 0};
static int joe_kuo_d6_initial_number11084[] = {1, 3, 5, 9, 15, 33, 41, 89, 183, 933, 1305, 1013, 7245, 16225, 10891, 6641, 61699, 0};
static int joe_kuo_d6_initial_number11085[] = {1, 1, 5, 3, 25, 41, 91, 183, 45, 553, 1817, 3305, 5169, 9051, 24917, 52431, 52505, 0};
static int joe_kuo_d6_initial_number11086[] = {1, 3, 3, 9, 3, 9, 127, 59, 117, 1001, 1255, 3435, 3797, 8507, 28593, 24119, 75569, 0};
static int joe_kuo_d6_initial_number11087[] = {1, 3, 1, 5, 17, 43, 45, 21, 461, 339, 1127, 2213, 7351, 14585, 2001, 32619, 33825, 0};
static int joe_kuo_d6_initial_number11088[] = {1, 1, 5, 11, 3, 37, 61, 83, 101, 707, 861, 3037, 1867, 7747, 16313, 58745, 14387, 0};
static int joe_kuo_d6_initial_number11089[] = {1, 1, 5, 3, 27, 25, 99, 17, 293, 867, 1655, 2301, 2007, 7379, 14487, 18233, 3625, 0};
static int joe_kuo_d6_initial_number11090[] = {1, 1, 7, 13, 25, 29, 21, 133, 207, 119, 423, 1561, 6587, 1221, 27295, 48141, 125473, 0};
static int joe_kuo_d6_initial_number11091[] = {1, 3, 3, 1, 19, 45, 39, 85, 127, 249, 157, 1307, 7343, 6309, 31073, 16909, 93223, 0};
static int joe_kuo_d6_initial_number11092[] = {1, 1, 5, 13, 19, 43, 111, 109, 385, 847, 1071, 1009, 2783, 8471, 5719, 50459, 110507, 0};
static int joe_kuo_d6_initial_number11093[] = {1, 1, 5, 15, 1, 45, 39, 197, 209, 839, 485, 3943, 5939, 11835, 18297, 61217, 85015, 0};
static int joe_kuo_d6_initial_number11094[] = {1, 1, 1, 15, 5, 61, 1, 195, 415, 355, 1593, 151, 8143, 3527, 11633, 44337, 99749, 0};
static int joe_kuo_d6_initial_number11095[] = {1, 1, 5, 13, 11, 11, 117, 109, 91, 663, 1351, 2361, 1409, 9317, 31133, 17577, 123919, 0};
static int joe_kuo_d6_initial_number11096[] = {1, 3, 3, 9, 3, 5, 115, 173, 459, 937, 1581, 781, 1069, 573, 24025, 30721, 116837, 0};
static int joe_kuo_d6_initial_number11097[] = {1, 1, 1, 5, 21, 37, 47, 51, 21, 169, 119, 3285, 2543, 14023, 29179, 13407, 130491, 0};
static int joe_kuo_d6_initial_number11098[] = {1, 3, 5, 5, 25, 27, 41, 147, 485, 79, 737, 699, 6763, 16347, 9265, 52129, 41431, 0};
static int joe_kuo_d6_initial_number11099[] = {1, 1, 1, 3, 5, 33, 115, 187, 311, 717, 1897, 2215, 2639, 4167, 1429, 26359, 52703, 0};
static int joe_kuo_d6_initial_number11100[] = {1, 3, 5, 5, 13, 51, 103, 5, 47, 683, 319, 2969, 7701, 11031, 9257, 16725, 80825, 0};
static int joe_kuo_d6_initial_number11101[] = {1, 3, 1, 11, 31, 47, 17, 205, 11, 411, 523, 4053, 6743, 3095, 3219, 63163, 84547, 0};
static int joe_kuo_d6_initial_number11102[] = {1, 1, 7, 15, 9, 55, 109, 225, 273, 595, 1697, 2059, 21, 11319, 23277, 60613, 4539, 0};
static int joe_kuo_d6_initial_number11103[] = {1, 1, 5, 13, 3, 59, 49, 239, 509, 847, 975, 3361, 5443, 1941, 29277, 56379, 38997, 0};
static int joe_kuo_d6_initial_number11104[] = {1, 3, 1, 7, 15, 5, 49, 19, 235, 437, 1309, 827, 4123, 5839, 22409, 42535, 98041, 0};
static int joe_kuo_d6_initial_number11105[] = {1, 1, 5, 15, 9, 33, 57, 153, 165, 215, 177, 1271, 1861, 15489, 4183, 43701, 114169, 0};
static int joe_kuo_d6_initial_number11106[] = {1, 3, 5, 5, 13, 3, 119, 89, 17, 421, 1205, 835, 4917, 6113, 28991, 26839, 114871, 0};
static int joe_kuo_d6_initial_number11107[] = {1, 3, 5, 1, 7, 49, 49, 159, 205, 601, 1939, 4063, 5975, 11747, 10329, 21103, 16779, 0};
static int joe_kuo_d6_initial_number11108[] = {1, 1, 5, 15, 13, 33, 89, 21, 113, 639, 891, 989, 829, 1435, 11475, 42711, 67049, 0};
static int joe_kuo_d6_initial_number11109[] = {1, 1, 5, 5, 9, 59, 57, 105, 385, 733, 1175, 329, 6809, 7175, 27267, 9941, 14203, 0};
static int joe_kuo_d6_initial_number11110[] = {1, 3, 1, 13, 21, 53, 83, 139, 287, 659, 1991, 3225, 4153, 4325, 16803, 27719, 86263, 0};
static int joe_kuo_d6_initial_number11111[] = {1, 3, 5, 13, 27, 21, 111, 105, 29, 573, 405, 2781, 1737, 12057, 25263, 16903, 45389, 0};
static int joe_kuo_d6_initial_number11112[] = {1, 1, 5, 5, 23, 23, 61, 27, 335, 279, 937, 2509, 4751, 2993, 28069, 30187, 3595, 0};
static int joe_kuo_d6_initial_number11113[] = {1, 1, 5, 7, 29, 37, 117, 71, 221, 875, 1987, 2329, 5953, 15901, 29813, 17419, 4745, 0};
static int joe_kuo_d6_initial_number11114[] = {1, 3, 3, 13, 21, 51, 77, 85, 53, 573, 1129, 3415, 2283, 5221, 29991, 46091, 65843, 0};
static int joe_kuo_d6_initial_number11115[] = {1, 1, 1, 3, 17, 51, 89, 211, 463, 743, 1189, 4083, 1437, 5219, 8373, 15559, 18557, 0};
static int joe_kuo_d6_initial_number11116[] = {1, 1, 5, 3, 29, 27, 1, 207, 285, 739, 505, 1587, 6565, 14195, 4995, 39453, 61023, 0};
static int joe_kuo_d6_initial_number11117[] = {1, 3, 3, 15, 7, 57, 19, 45, 39, 881, 1207, 2829, 3265, 2637, 7843, 62889, 53289, 0};
static int joe_kuo_d6_initial_number11118[] = {1, 1, 1, 11, 31, 21, 73, 245, 87, 457, 1523, 2397, 1157, 8237, 26195, 23149, 106523, 0};
static int joe_kuo_d6_initial_number11119[] = {1, 3, 5, 13, 3, 55, 3, 179, 107, 85, 639, 2711, 6359, 1599, 2325, 59573, 111941, 0};
static int joe_kuo_d6_initial_number11120[] = {1, 1, 1, 13, 17, 61, 45, 253, 45, 149, 1251, 139, 7113, 6503, 27675, 37301, 21713, 0};
static int joe_kuo_d6_initial_number11121[] = {1, 3, 5, 9, 31, 31, 67, 79, 355, 225, 1187, 761, 4927, 5481, 9139, 13399, 35653, 0};
static int joe_kuo_d6_initial_number11122[] = {1, 1, 5, 3, 7, 3, 95, 119, 161, 529, 1443, 1099, 609, 3919, 10935, 37779, 92993, 0};
static int joe_kuo_d6_initial_number11123[] = {1, 1, 7, 9, 13, 21, 13, 7, 165, 173, 989, 2315, 2305, 13115, 6933, 56233, 112113, 0};
static int joe_kuo_d6_initial_number11124[] = {1, 1, 7, 3, 9, 11, 25, 45, 493, 119, 839, 3907, 2273, 14113, 29453, 55181, 667, 0};
static int joe_kuo_d6_initial_number11125[] = {1, 3, 5, 15, 25, 33, 15, 23, 245, 517, 1883, 2865, 1483, 7043, 32615, 12261, 49297, 0};
static int joe_kuo_d6_initial_number11126[] = {1, 3, 7, 9, 31, 35, 89, 103, 245, 441, 1709, 1321, 3743, 3767, 23885, 43587, 18017, 0};
static int joe_kuo_d6_initial_number11127[] = {1, 3, 7, 5, 23, 43, 103, 7, 47, 187, 1257, 3517, 591, 16263, 12047, 16699, 81633, 0};
static int joe_kuo_d6_initial_number11128[] = {1, 1, 5, 15, 5, 5, 79, 11, 327, 719, 37, 2913, 6107, 3463, 25901, 6125, 100647, 0};
static int joe_kuo_d6_initial_number11129[] = {1, 1, 1, 11, 13, 29, 83, 251, 41, 125, 1137, 2627, 4643, 29, 24631, 51435, 98643, 0};
static int joe_kuo_d6_initial_number11130[] = {1, 1, 7, 3, 27, 3, 69, 245, 365, 599, 1575, 2969, 3441, 12327, 18951, 56167, 13861, 0};
static int joe_kuo_d6_initial_number11131[] = {1, 3, 3, 11, 5, 47, 103, 233, 351, 821, 867, 3199, 6133, 4627, 22663, 14775, 83205, 0};
static int joe_kuo_d6_initial_number11132[] = {1, 3, 1, 13, 9, 35, 27, 251, 281, 727, 873, 3713, 5247, 8407, 17739, 57207, 126201, 0};
static int joe_kuo_d6_initial_number11133[] = {1, 1, 7, 11, 11, 35, 53, 115, 93, 663, 625, 565, 3137, 7869, 18845, 49155, 83395, 0};
static int joe_kuo_d6_initial_number11134[] = {1, 3, 3, 5, 21, 13, 99, 151, 319, 9, 1363, 1489, 2545, 1963, 1271, 24815, 43355, 0};
static int joe_kuo_d6_initial_number11135[] = {1, 3, 5, 9, 15, 51, 109, 85, 67, 131, 1947, 181, 7331, 15163, 2255, 33449, 78107, 0};
static int joe_kuo_d6_initial_number11136[] = {1, 1, 7, 9, 27, 61, 1, 163, 309, 739, 453, 1837, 2093, 16021, 8485, 19755, 61335, 0};
static int joe_kuo_d6_initial_number11137[] = {1, 3, 5, 7, 3, 13, 11, 195, 91, 143, 203, 2785, 7319, 7153, 19265, 11597, 63365, 0};
static int joe_kuo_d6_initial_number11138[] = {1, 3, 1, 9, 29, 1, 123, 247, 253, 757, 191, 1699, 6625, 1785, 29199, 29409, 32577, 0};
static int joe_kuo_d6_initial_number11139[] = {1, 3, 5, 11, 23, 21, 31, 35, 383, 587, 65, 1695, 4045, 12305, 12437, 5919, 51465, 0};
static int joe_kuo_d6_initial_number11140[] = {1, 1, 5, 9, 11, 13, 123, 171, 499, 877, 1785, 561, 2547, 1797, 27679, 56305, 93223, 0};
static int joe_kuo_d6_initial_number11141[] = {1, 3, 1, 3, 25, 41, 63, 243, 219, 533, 753, 1903, 3257, 11901, 4777, 28629, 111141, 0};
static int joe_kuo_d6_initial_number11142[] = {1, 3, 3, 5, 31, 47, 1, 253, 283, 995, 1787, 1767, 6599, 11913, 21515, 39259, 117727, 0};
static int joe_kuo_d6_initial_number11143[] = {1, 1, 7, 7, 31, 35, 39, 255, 463, 763, 881, 2583, 347, 14343, 22761, 45821, 119155, 0};
static int joe_kuo_d6_initial_number11144[] = {1, 3, 5, 9, 5, 37, 43, 55, 423, 525, 157, 3593, 2831, 11539, 15675, 11695, 100609, 0};
static int joe_kuo_d6_initial_number11145[] = {1, 3, 3, 5, 11, 9, 27, 57, 409, 201, 1029, 2461, 5823, 2593, 32031, 4203, 55327, 0};
static int joe_kuo_d6_initial_number11146[] = {1, 1, 7, 15, 15, 25, 69, 83, 309, 687, 1607, 819, 7381, 3697, 5289, 33153, 48157, 0};
static int joe_kuo_d6_initial_number11147[] = {1, 1, 5, 5, 31, 57, 41, 195, 201, 59, 2045, 2213, 6695, 3839, 17331, 4981, 26803, 0};
static int joe_kuo_d6_initial_number11148[] = {1, 1, 1, 11, 7, 53, 109, 169, 387, 181, 391, 19, 4159, 299, 29059, 27781, 110193, 0};
static int joe_kuo_d6_initial_number11149[] = {1, 3, 7, 15, 5, 31, 95, 155, 47, 601, 1463, 1799, 8027, 3003, 18067, 24589, 108171, 0};
static int joe_kuo_d6_initial_number11150[] = {1, 3, 3, 7, 11, 61, 21, 121, 117, 149, 1037, 3829, 3581, 15223, 17051, 34539, 37263, 0};
static int joe_kuo_d6_initial_number11151[] = {1, 3, 3, 3, 15, 15, 115, 91, 443, 309, 1073, 2053, 789, 7415, 26253, 62657, 49729, 0};
static int joe_kuo_d6_initial_number11152[] = {1, 3, 5, 5, 31, 19, 23, 221, 19, 105, 1105, 2025, 4209, 7531, 30191, 40777, 46069, 0};
static int joe_kuo_d6_initial_number11153[] = {1, 1, 1, 7, 29, 45, 29, 215, 33, 21, 1147, 1725, 3711, 2759, 12731, 57031, 42361, 0};
static int joe_kuo_d6_initial_number11154[] = {1, 1, 5, 15, 13, 59, 111, 169, 317, 841, 1387, 3513, 3137, 8265, 31789, 26963, 126219, 0};
static int joe_kuo_d6_initial_number11155[] = {1, 1, 3, 1, 23, 21, 13, 113, 71, 177, 345, 3149, 1461, 12945, 3971, 59759, 61839, 0};
static int joe_kuo_d6_initial_number11156[] = {1, 3, 5, 13, 9, 19, 103, 17, 95, 617, 1477, 263, 4259, 12899, 24351, 47431, 11583, 0};
static int joe_kuo_d6_initial_number11157[] = {1, 3, 5, 11, 13, 11, 7, 61, 13, 63, 1687, 631, 381, 5899, 10225, 19657, 37087, 0};
static int joe_kuo_d6_initial_number11158[] = {1, 3, 5, 3, 7, 53, 11, 193, 103, 427, 1097, 299, 2905, 5019, 31803, 28931, 47495, 0};
static int joe_kuo_d6_initial_number11159[] = {1, 3, 3, 11, 21, 31, 125, 249, 233, 941, 975, 2287, 7837, 6481, 11021, 52829, 63023, 0};
static int joe_kuo_d6_initial_number11160[] = {1, 1, 7, 15, 13, 17, 33, 85, 503, 11, 689, 637, 4063, 12223, 1835, 17161, 35213, 0};
static int joe_kuo_d6_initial_number11161[] = {1, 3, 5, 13, 25, 37, 21, 135, 377, 623, 895, 2547, 2757, 9055, 17337, 65457, 24737, 0};
static int joe_kuo_d6_initial_number11162[] = {1, 1, 1, 15, 25, 11, 17, 95, 65, 271, 1791, 841, 1441, 11177, 10087, 63963, 71481, 0};
static int joe_kuo_d6_initial_number11163[] = {1, 3, 5, 11, 31, 1, 37, 107, 109, 459, 1185, 2155, 271, 11775, 23243, 53517, 103669, 0};
static int joe_kuo_d6_initial_number11164[] = {1, 3, 1, 9, 1, 49, 23, 141, 169, 475, 469, 2271, 1379, 13139, 1765, 63625, 14143, 0};
static int joe_kuo_d6_initial_number11165[] = {1, 1, 1, 9, 13, 7, 23, 219, 381, 105, 743, 1745, 2999, 661, 7245, 39653, 99913, 0};
static int joe_kuo_d6_initial_number11166[] = {1, 3, 1, 11, 7, 35, 9, 215, 41, 537, 1569, 1803, 3613, 667, 15089, 39485, 85457, 0};
static int joe_kuo_d6_initial_number11167[] = {1, 1, 1, 15, 9, 49, 75, 235, 119, 97, 273, 209, 2707, 2071, 21943, 60249, 57737, 0};
static int joe_kuo_d6_initial_number11168[] = {1, 1, 5, 15, 31, 19, 33, 49, 279, 461, 143, 3001, 3539, 1015, 27597, 35389, 36483, 0};
static int joe_kuo_d6_initial_number11169[] = {1, 3, 7, 1, 23, 51, 123, 247, 485, 343, 1365, 593, 6465, 12305, 29375, 30641, 43165, 0};
static int joe_kuo_d6_initial_number11170[] = {1, 1, 7, 13, 15, 11, 125, 51, 235, 717, 1427, 3203, 1711, 12607, 8805, 5773, 27467, 0};
static int joe_kuo_d6_initial_number11171[] = {1, 3, 5, 5, 5, 13, 51, 181, 133, 977, 469, 2513, 6819, 12985, 8917, 47317, 47557, 0};
static int joe_kuo_d6_initial_number11172[] = {1, 1, 5, 7, 3, 7, 71, 17, 345, 921, 1621, 2801, 5825, 827, 17711, 33701, 113503, 0};
static int joe_kuo_d6_initial_number11173[] = {1, 3, 1, 1, 17, 7, 99, 83, 73, 349, 567, 713, 5639, 4969, 11549, 35317, 28995, 0};
static int joe_kuo_d6_initial_number11174[] = {1, 3, 3, 9, 11, 53, 123, 227, 391, 775, 1013, 3971, 6183, 14453, 6403, 57063, 7123, 0};
static int joe_kuo_d6_initial_number11175[] = {1, 1, 1, 15, 27, 13, 51, 147, 151, 535, 2017, 3019, 6791, 3931, 12529, 30855, 33243, 0};
static int joe_kuo_d6_initial_number11176[] = {1, 3, 1, 1, 27, 43, 103, 85, 135, 207, 621, 251, 3723, 10893, 29533, 31023, 11043, 0};
static int joe_kuo_d6_initial_number11177[] = {1, 3, 7, 5, 7, 39, 55, 133, 141, 63, 237, 3299, 861, 15123, 11859, 13271, 32893, 0};
static int joe_kuo_d6_initial_number11178[] = {1, 3, 7, 9, 23, 17, 73, 197, 113, 725, 137, 2835, 2877, 6913, 22949, 56071, 67597, 0};
static int joe_kuo_d6_initial_number11179[] = {1, 3, 7, 7, 15, 3, 15, 253, 51, 443, 15, 2549, 7833, 4713, 29211, 22339, 6009, 0};
static int joe_kuo_d6_initial_number11180[] = {1, 3, 5, 15, 19, 55, 35, 59, 281, 995, 1113, 605, 2345, 10009, 14629, 11757, 53241, 0};
static int joe_kuo_d6_initial_number11181[] = {1, 1, 1, 11, 3, 31, 11, 193, 437, 1003, 873, 909, 6513, 2045, 10495, 17387, 25461, 0};
static int joe_kuo_d6_initial_number11182[] = {1, 1, 3, 5, 21, 61, 47, 177, 379, 773, 951, 419, 4455, 10171, 17403, 19045, 87327, 0};
static int joe_kuo_d6_initial_number11183[] = {1, 3, 3, 11, 31, 41, 69, 229, 207, 299, 1743, 1417, 4785, 1327, 26967, 43077, 124319, 0};
static int joe_kuo_d6_initial_number11184[] = {1, 3, 7, 15, 19, 37, 65, 219, 33, 691, 205, 1577, 4775, 8427, 28315, 53559, 100789, 0};
static int joe_kuo_d6_initial_number11185[] = {1, 3, 5, 11, 5, 39, 55, 147, 139, 871, 1563, 3661, 4791, 423, 30007, 1589, 20255, 0};
static int joe_kuo_d6_initial_number11186[] = {1, 1, 3, 15, 5, 61, 89, 83, 261, 519, 1367, 2019, 3799, 8237, 9011, 28995, 1587, 0};
static int joe_kuo_d6_initial_number11187[] = {1, 1, 7, 15, 17, 55, 49, 41, 353, 507, 1565, 3365, 7947, 10391, 1323, 61591, 126305, 0};
static int joe_kuo_d6_initial_number11188[] = {1, 3, 3, 5, 13, 19, 49, 195, 355, 915, 1867, 3513, 1239, 4809, 16925, 22947, 92641, 0};
static int joe_kuo_d6_initial_number11189[] = {1, 1, 7, 3, 31, 51, 45, 241, 55, 195, 1233, 3675, 8077, 4981, 17679, 53025, 77927, 0};
static int joe_kuo_d6_initial_number11190[] = {1, 3, 5, 11, 23, 5, 93, 49, 277, 979, 1093, 3031, 6131, 8085, 19121, 45305, 6705, 0};
static int joe_kuo_d6_initial_number11191[] = {1, 1, 7, 13, 29, 25, 83, 105, 469, 729, 1495, 2607, 2681, 13959, 101, 1913, 2671, 0};
static int joe_kuo_d6_initial_number11192[] = {1, 1, 1, 15, 7, 19, 63, 105, 253, 807, 1889, 2433, 1591, 16267, 11997, 18939, 113313, 0};
static int joe_kuo_d6_initial_number11193[] = {1, 1, 5, 3, 13, 23, 29, 227, 337, 115, 783, 475, 6949, 9485, 1797, 18713, 123981, 0};
static int joe_kuo_d6_initial_number11194[] = {1, 3, 3, 9, 21, 43, 115, 225, 147, 753, 919, 1157, 2901, 14813, 30035, 52553, 30225, 0};
static int joe_kuo_d6_initial_number11195[] = {1, 1, 3, 15, 23, 19, 65, 83, 457, 965, 579, 2133, 291, 2033, 7533, 52995, 92243, 0};
static int joe_kuo_d6_initial_number11196[] = {1, 1, 1, 5, 11, 3, 23, 245, 255, 373, 1119, 3695, 6449, 13497, 817, 32215, 103599, 0};
static int joe_kuo_d6_initial_number11197[] = {1, 3, 1, 5, 5, 19, 57, 53, 145, 441, 1253, 929, 1299, 11491, 29457, 11245, 55717, 0};
static int joe_kuo_d6_initial_number11198[] = {1, 1, 7, 13, 9, 13, 73, 85, 127, 29, 629, 409, 2487, 13079, 3767, 27985, 110139, 0};
static int joe_kuo_d6_initial_number11199[] = {1, 1, 5, 11, 29, 39, 27, 9, 487, 623, 757, 2879, 669, 12521, 23471, 47933, 41721, 0};
static int joe_kuo_d6_initial_number11200[] = {1, 1, 7, 15, 21, 9, 59, 39, 325, 787, 1347, 3039, 7333, 9793, 19337, 41285, 48339, 0};
static int joe_kuo_d6_initial_number11201[] = {1, 3, 3, 11, 11, 21, 127, 45, 173, 981, 483, 3707, 3651, 10545, 16865, 62105, 114847, 0};
static int joe_kuo_d6_initial_number11202[] = {1, 3, 5, 11, 11, 49, 89, 179, 393, 455, 1775, 1903, 8173, 12589, 17281, 57687, 56153, 0};
static int joe_kuo_d6_initial_number11203[] = {1, 3, 1, 3, 7, 7, 59, 223, 255, 559, 375, 2427, 6921, 3709, 24767, 16213, 60373, 0};
static int joe_kuo_d6_initial_number11204[] = {1, 1, 7, 15, 3, 31, 37, 129, 307, 1023, 1807, 519, 6779, 8997, 15383, 4391, 61161, 0};
static int joe_kuo_d6_initial_number11205[] = {1, 1, 1, 1, 9, 25, 53, 27, 263, 459, 1015, 417, 4195, 10931, 20507, 19299, 82371, 0};
static int joe_kuo_d6_initial_number11206[] = {1, 1, 3, 1, 7, 7, 49, 221, 47, 7, 1747, 1533, 3089, 14369, 32609, 64157, 78139, 0};
static int joe_kuo_d6_initial_number11207[] = {1, 3, 7, 5, 5, 13, 101, 231, 227, 19, 1359, 3017, 1405, 3715, 3541, 933, 1117, 0};
static int joe_kuo_d6_initial_number11208[] = {1, 1, 7, 15, 5, 63, 59, 253, 269, 781, 1639, 2247, 1041, 667, 7055, 21221, 84447, 0};
static int joe_kuo_d6_initial_number11209[] = {1, 1, 7, 3, 9, 13, 115, 247, 215, 173, 457, 1125, 5613, 13171, 17847, 26323, 68461, 0};
static int joe_kuo_d6_initial_number11210[] = {1, 3, 5, 9, 15, 19, 95, 213, 425, 567, 1625, 1659, 6961, 10569, 20985, 17255, 89919, 0};
static int joe_kuo_d6_initial_number11211[] = {1, 3, 5, 5, 3, 11, 107, 123, 265, 743, 499, 1885, 6079, 7791, 24953, 30925, 112517, 0};
static int joe_kuo_d6_initial_number11212[] = {1, 1, 5, 15, 29, 27, 103, 195, 119, 873, 1751, 2091, 6623, 7583, 20413, 52367, 16831, 0};
static int joe_kuo_d6_initial_number11213[] = {1, 1, 7, 7, 21, 15, 111, 197, 89, 107, 1317, 2107, 1951, 189, 31663, 63007, 21405, 0};
static int joe_kuo_d6_initial_number11214[] = {1, 3, 1, 13, 27, 15, 93, 251, 209, 93, 1419, 3785, 1899, 3143, 3205, 16309, 121455, 0};
static int joe_kuo_d6_initial_number11215[] = {1, 1, 7, 7, 17, 43, 23, 251, 425, 591, 1101, 1317, 6369, 14209, 10257, 33813, 59557, 0};
static int joe_kuo_d6_initial_number11216[] = {1, 1, 7, 3, 5, 41, 65, 59, 327, 369, 1867, 1045, 4953, 3155, 25679, 8545, 22753, 0};
static int joe_kuo_d6_initial_number11217[] = {1, 1, 5, 3, 5, 25, 117, 97, 369, 721, 1459, 2501, 4899, 5299, 3859, 2509, 127723, 0};
static int joe_kuo_d6_initial_number11218[] = {1, 3, 3, 1, 27, 13, 65, 185, 255, 543, 2013, 2027, 1131, 4067, 1327, 44639, 53275, 0};
static int joe_kuo_d6_initial_number11219[] = {1, 1, 7, 3, 11, 15, 53, 67, 265, 477, 971, 3201, 51, 10599, 23691, 10493, 130347, 0};
static int joe_kuo_d6_initial_number11220[] = {1, 3, 7, 7, 19, 35, 47, 61, 375, 547, 1867, 1147, 7775, 12757, 15101, 63243, 89817, 0};
static int joe_kuo_d6_initial_number11221[] = {1, 1, 5, 3, 5, 21, 57, 59, 145, 901, 835, 1093, 6487, 12727, 20585, 6309, 67803, 0};
static int joe_kuo_d6_initial_number11222[] = {1, 1, 1, 11, 13, 31, 75, 171, 189, 741, 1923, 3503, 4887, 15423, 2499, 39125, 4125, 0};
static int joe_kuo_d6_initial_number11223[] = {1, 3, 7, 1, 29, 31, 103, 207, 383, 631, 1017, 1693, 6251, 9429, 17491, 60959, 68131, 0};
static int joe_kuo_d6_initial_number11224[] = {1, 1, 1, 1, 19, 45, 127, 105, 451, 287, 657, 3521, 2021, 15793, 8993, 34837, 65441, 0};
static int joe_kuo_d6_initial_number11225[] = {1, 1, 7, 9, 17, 15, 13, 189, 255, 753, 1779, 3047, 1179, 13201, 28249, 5909, 35775, 0};
static int joe_kuo_d6_initial_number11226[] = {1, 3, 3, 3, 5, 11, 125, 207, 375, 375, 135, 2939, 1141, 12211, 727, 16137, 52253, 0};
static int joe_kuo_d6_initial_number11227[] = {1, 3, 7, 9, 29, 3, 83, 221, 281, 299, 667, 3435, 589, 8039, 7991, 24289, 13079, 0};
static int joe_kuo_d6_initial_number11228[] = {1, 3, 5, 13, 9, 11, 11, 99, 337, 155, 233, 2497, 3385, 15045, 5783, 40915, 19201, 0};
static int joe_kuo_d6_initial_number11229[] = {1, 1, 7, 5, 5, 23, 25, 223, 341, 149, 505, 893, 4933, 14899, 29899, 207, 125359, 0};
static int joe_kuo_d6_initial_number11230[] = {1, 3, 3, 15, 3, 5, 43, 165, 21, 993, 1091, 3849, 6005, 1905, 7199, 13495, 76915, 0};
static int joe_kuo_d6_initial_number11231[] = {1, 1, 1, 15, 1, 19, 55, 217, 179, 431, 935, 2219, 8135, 15071, 17437, 43271, 115963, 0};
static int joe_kuo_d6_initial_number11232[] = {1, 1, 7, 15, 7, 61, 45, 157, 441, 107, 1955, 2877, 5285, 12157, 21783, 60999, 102949, 0};
static int joe_kuo_d6_initial_number11233[] = {1, 1, 1, 3, 9, 29, 41, 75, 81, 73, 1859, 2923, 3009, 10847, 30257, 44527, 21933, 0};
static int joe_kuo_d6_initial_number11234[] = {1, 1, 3, 3, 29, 29, 103, 3, 401, 197, 237, 3727, 7919, 13669, 26869, 64987, 1581, 0};
static int joe_kuo_d6_initial_number11235[] = {1, 1, 5, 13, 13, 47, 99, 209, 45, 745, 1239, 663, 5535, 3777, 10479, 15327, 1441, 0};
static int joe_kuo_d6_initial_number11236[] = {1, 3, 1, 9, 1, 49, 31, 231, 15, 1001, 773, 2113, 1957, 15271, 25355, 7461, 33089, 0};
static int joe_kuo_d6_initial_number11237[] = {1, 1, 1, 5, 13, 31, 123, 123, 439, 373, 1817, 2555, 7905, 3151, 2311, 62083, 45535, 0};
static int joe_kuo_d6_initial_number11238[] = {1, 3, 1, 3, 31, 37, 83, 117, 177, 483, 1285, 1725, 821, 2115, 12893, 54301, 36491, 0};
static int joe_kuo_d6_initial_number11239[] = {1, 3, 3, 3, 9, 13, 87, 7, 467, 287, 1173, 2739, 3293, 883, 9123, 30799, 110221, 0};
static int joe_kuo_d6_initial_number11240[] = {1, 3, 1, 15, 3, 5, 119, 235, 393, 789, 67, 1193, 1613, 8607, 17371, 16723, 103747, 0};
static int joe_kuo_d6_initial_number11241[] = {1, 3, 1, 13, 13, 47, 61, 51, 447, 1, 1221, 1619, 3785, 5851, 10557, 51181, 6535, 0};
static int joe_kuo_d6_initial_number11242[] = {1, 3, 5, 11, 1, 1, 85, 119, 195, 177, 805, 1161, 4851, 15765, 24405, 41757, 110081, 0};
static int joe_kuo_d6_initial_number11243[] = {1, 1, 7, 1, 17, 21, 89, 13, 59, 169, 1847, 2401, 6243, 2841, 6153, 16039, 47407, 0};
static int joe_kuo_d6_initial_number11244[] = {1, 1, 3, 15, 21, 53, 103, 187, 143, 897, 65, 3677, 213, 4027, 22365, 53703, 82951, 0};
static int joe_kuo_d6_initial_number11245[] = {1, 3, 5, 5, 25, 5, 39, 49, 55, 71, 825, 2123, 2345, 5683, 18027, 29897, 53023, 0};
static int joe_kuo_d6_initial_number11246[] = {1, 1, 3, 5, 13, 55, 27, 77, 327, 429, 1219, 2103, 7095, 13461, 31027, 15383, 98485, 0};
static int joe_kuo_d6_initial_number11247[] = {1, 3, 1, 3, 9, 41, 33, 241, 487, 229, 1743, 951, 2319, 15595, 3213, 5959, 90721, 0};
static int joe_kuo_d6_initial_number11248[] = {1, 1, 7, 1, 29, 45, 45, 163, 123, 227, 305, 1577, 5465, 5639, 14507, 65155, 71425, 0};
static int joe_kuo_d6_initial_number11249[] = {1, 1, 5, 1, 3, 5, 33, 15, 203, 141, 465, 3509, 6653, 14193, 7073, 22525, 22951, 0};
static int joe_kuo_d6_initial_number11250[] = {1, 1, 7, 3, 27, 39, 3, 27, 75, 821, 1329, 3655, 4715, 7659, 31957, 60219, 79123, 0};
static int joe_kuo_d6_initial_number11251[] = {1, 3, 5, 13, 29, 45, 111, 19, 207, 387, 87, 3731, 7427, 13351, 9497, 34285, 25623, 0};
static int joe_kuo_d6_initial_number11252[] = {1, 1, 3, 11, 19, 39, 79, 219, 97, 125, 947, 1397, 3645, 1021, 9403, 38695, 54985, 0};
static int joe_kuo_d6_initial_number11253[] = {1, 3, 3, 7, 3, 3, 45, 93, 65, 289, 1843, 1599, 897, 16159, 23485, 24699, 43123, 0};
static int joe_kuo_d6_initial_number11254[] = {1, 3, 5, 3, 15, 1, 81, 219, 299, 429, 1115, 1763, 6381, 869, 7817, 143, 23583, 0};
static int joe_kuo_d6_initial_number11255[] = {1, 1, 3, 5, 1, 35, 95, 147, 425, 1011, 1039, 2875, 3089, 3685, 9995, 13279, 60923, 0};
static int joe_kuo_d6_initial_number11256[] = {1, 1, 5, 7, 5, 59, 105, 241, 151, 307, 735, 1541, 3115, 12331, 19535, 56965, 127015, 0};
static int joe_kuo_d6_initial_number11257[] = {1, 3, 5, 7, 5, 33, 83, 179, 65, 397, 787, 3425, 1305, 10713, 6973, 9007, 112081, 0};
static int joe_kuo_d6_initial_number11258[] = {1, 3, 7, 13, 29, 11, 37, 31, 271, 501, 897, 1383, 5333, 13627, 22091, 38421, 94575, 0};
static int joe_kuo_d6_initial_number11259[] = {1, 3, 1, 1, 9, 61, 87, 115, 13, 79, 391, 2385, 7157, 3369, 26035, 883, 34705, 0};
static int joe_kuo_d6_initial_number11260[] = {1, 1, 3, 9, 21, 29, 15, 165, 53, 719, 1509, 1295, 4437, 8229, 17961, 55297, 62635, 0};
static int joe_kuo_d6_initial_number11261[] = {1, 1, 7, 5, 27, 21, 23, 141, 341, 423, 9, 2693, 5555, 5797, 13179, 1107, 33489, 0};
static int joe_kuo_d6_initial_number11262[] = {1, 3, 1, 13, 27, 33, 101, 29, 379, 119, 1259, 861, 6843, 69, 3253, 61977, 80061, 0};
static int joe_kuo_d6_initial_number11263[] = {1, 1, 3, 11, 1, 37, 35, 43, 105, 655, 221, 873, 91, 9095, 8999, 44033, 24807, 0};
static int joe_kuo_d6_initial_number11264[] = {1, 3, 3, 7, 29, 15, 23, 227, 399, 305, 2007, 747, 2717, 14767, 6515, 40617, 7873, 0};
static int joe_kuo_d6_initial_number11265[] = {1, 1, 5, 15, 21, 43, 39, 7, 261, 421, 505, 1433, 1155, 5621, 2337, 54027, 54039, 0};
static int joe_kuo_d6_initial_number11266[] = {1, 1, 1, 9, 15, 39, 49, 185, 503, 895, 1321, 375, 4245, 4929, 9637, 50561, 65733, 0};
static int joe_kuo_d6_initial_number11267[] = {1, 1, 5, 15, 7, 29, 27, 155, 423, 631, 1295, 973, 4227, 2637, 8479, 29527, 70505, 0};
static int joe_kuo_d6_initial_number11268[] = {1, 3, 1, 3, 31, 33, 13, 67, 195, 335, 1577, 3715, 559, 7251, 7215, 46443, 125359, 0};
static int joe_kuo_d6_initial_number11269[] = {1, 3, 1, 9, 17, 37, 15, 119, 79, 851, 911, 3549, 99, 9221, 29897, 63489, 34937, 0};
static int joe_kuo_d6_initial_number11270[] = {1, 3, 5, 9, 31, 11, 125, 1, 265, 467, 835, 2997, 2401, 9615, 19397, 50947, 29963, 0};
static int joe_kuo_d6_initial_number11271[] = {1, 1, 5, 3, 11, 21, 63, 15, 471, 763, 1963, 2815, 4419, 11457, 7151, 27009, 124847, 0};
static int joe_kuo_d6_initial_number11272[] = {1, 1, 7, 3, 19, 9, 97, 59, 375, 109, 519, 305, 2787, 3001, 14199, 27415, 35403, 0};
static int joe_kuo_d6_initial_number11273[] = {1, 1, 1, 3, 13, 47, 3, 93, 307, 979, 419, 2817, 3741, 305, 1813, 34549, 116959, 0};
static int joe_kuo_d6_initial_number11274[] = {1, 3, 5, 13, 13, 19, 35, 231, 493, 973, 895, 1583, 1843, 9057, 27705, 32333, 130347, 0};
static int joe_kuo_d6_initial_number11275[] = {1, 1, 1, 13, 31, 35, 81, 11, 363, 229, 1865, 2849, 7805, 877, 3965, 45337, 33239, 0};
static int joe_kuo_d6_initial_number11276[] = {1, 3, 5, 1, 15, 3, 125, 93, 191, 405, 1359, 929, 3085, 7907, 7777, 7815, 103717, 0};
static int joe_kuo_d6_initial_number11277[] = {1, 1, 3, 7, 15, 33, 61, 235, 283, 141, 817, 1611, 665, 13113, 4197, 45831, 44505, 0};
static int joe_kuo_d6_initial_number11278[] = {1, 1, 5, 5, 25, 3, 63, 159, 223, 531, 1147, 2323, 2715, 10319, 32203, 23943, 95407, 0};
static int joe_kuo_d6_initial_number11279[] = {1, 3, 3, 3, 3, 33, 37, 99, 317, 811, 515, 339, 6527, 11149, 13071, 7177, 1549, 0};
static int joe_kuo_d6_initial_number11280[] = {1, 3, 1, 11, 31, 53, 9, 17, 297, 259, 1235, 53, 7065, 1721, 8191, 21663, 13393, 0};
static int joe_kuo_d6_initial_number11281[] = {1, 3, 7, 7, 29, 41, 127, 179, 113, 191, 783, 861, 6509, 5199, 3369, 18327, 30647, 0};
static int joe_kuo_d6_initial_number11282[] = {1, 3, 1, 7, 23, 41, 49, 155, 135, 513, 1127, 1443, 8081, 2553, 10389, 35459, 122513, 0};
static int joe_kuo_d6_initial_number11283[] = {1, 1, 7, 3, 25, 3, 117, 125, 283, 165, 1409, 1587, 7915, 12899, 12239, 48161, 7385, 0};
static int joe_kuo_d6_initial_number11284[] = {1, 3, 7, 3, 23, 19, 29, 47, 7, 723, 455, 4013, 2739, 12303, 29883, 51485, 1571, 0};
static int joe_kuo_d6_initial_number11285[] = {1, 1, 1, 11, 1, 31, 111, 199, 207, 209, 1163, 2865, 5335, 2647, 9125, 6737, 99881, 0};
static int joe_kuo_d6_initial_number11286[] = {1, 3, 1, 11, 31, 19, 59, 153, 65, 133, 1399, 2709, 905, 3257, 13603, 46299, 15139, 0};
static int joe_kuo_d6_initial_number11287[] = {1, 3, 1, 1, 23, 19, 123, 115, 59, 667, 333, 2461, 1843, 16049, 12353, 17297, 107779, 0};
static int joe_kuo_d6_initial_number11288[] = {1, 1, 5, 1, 5, 29, 91, 241, 97, 557, 1701, 2441, 2995, 13103, 9261, 55833, 843, 0};
static int joe_kuo_d6_initial_number11289[] = {1, 1, 1, 5, 15, 19, 23, 189, 69, 91, 427, 3149, 5199, 13073, 32273, 41503, 98749, 0};
static int joe_kuo_d6_initial_number11290[] = {1, 3, 5, 11, 19, 3, 71, 125, 307, 241, 861, 681, 5657, 5189, 7555, 2037, 72921, 0};
static int joe_kuo_d6_initial_number11291[] = {1, 1, 5, 5, 29, 61, 93, 61, 421, 685, 883, 1559, 5875, 10561, 11761, 18879, 31577, 0};
static int joe_kuo_d6_initial_number11292[] = {1, 3, 7, 15, 9, 29, 41, 241, 365, 941, 1087, 3743, 6781, 9467, 1409, 20605, 2361, 0};
static int joe_kuo_d6_initial_number11293[] = {1, 1, 5, 13, 25, 29, 7, 21, 41, 621, 1751, 3731, 2667, 8613, 20999, 3851, 39677, 0};
static int joe_kuo_d6_initial_number11294[] = {1, 1, 7, 5, 17, 23, 25, 43, 401, 749, 975, 91, 5277, 2711, 19847, 41419, 11851, 0};
static int joe_kuo_d6_initial_number11295[] = {1, 1, 7, 9, 13, 37, 113, 89, 435, 749, 1553, 1853, 7709, 5449, 25055, 45207, 2269, 0};
static int joe_kuo_d6_initial_number11296[] = {1, 3, 1, 11, 3, 59, 79, 13, 35, 901, 165, 907, 7579, 12739, 24679, 54163, 61059, 0};
static int joe_kuo_d6_initial_number11297[] = {1, 1, 5, 7, 9, 47, 101, 61, 25, 461, 1737, 2825, 4439, 5363, 28433, 61979, 120401, 0};
static int joe_kuo_d6_initial_number11298[] = {1, 3, 3, 3, 1, 55, 103, 1, 449, 473, 375, 2609, 4933, 3411, 19663, 6067, 61129, 0};
static int joe_kuo_d6_initial_number11299[] = {1, 1, 3, 9, 27, 29, 53, 151, 391, 507, 425, 3469, 6605, 5783, 31747, 37677, 116037, 0};
static int joe_kuo_d6_initial_number11300[] = {1, 1, 1, 5, 5, 43, 61, 67, 319, 553, 1163, 3095, 4447, 7505, 15617, 26167, 11145, 0};
static int joe_kuo_d6_initial_number11301[] = {1, 1, 5, 7, 3, 3, 9, 161, 155, 869, 337, 3693, 6847, 8449, 15077, 54769, 123335, 0};
static int joe_kuo_d6_initial_number11302[] = {1, 3, 3, 7, 11, 19, 17, 71, 105, 649, 323, 3033, 1695, 15973, 6361, 3163, 17669, 0};
static int joe_kuo_d6_initial_number11303[] = {1, 3, 7, 13, 13, 9, 3, 251, 149, 513, 637, 2211, 6397, 1741, 8547, 3165, 38241, 0};
static int joe_kuo_d6_initial_number11304[] = {1, 1, 5, 5, 1, 57, 73, 35, 287, 347, 221, 3261, 7693, 5443, 6175, 18181, 23733, 0};
static int joe_kuo_d6_initial_number11305[] = {1, 3, 7, 5, 5, 19, 1, 167, 5, 825, 815, 1369, 7657, 6169, 9583, 34761, 81003, 0};
static int joe_kuo_d6_initial_number11306[] = {1, 3, 3, 5, 15, 17, 23, 157, 475, 297, 1495, 811, 8135, 11453, 9683, 55505, 84361, 0};
static int joe_kuo_d6_initial_number11307[] = {1, 1, 1, 11, 1, 63, 59, 189, 205, 1023, 1065, 1095, 2293, 14629, 29399, 2925, 28327, 0};
static int joe_kuo_d6_initial_number11308[] = {1, 3, 1, 3, 31, 33, 85, 183, 383, 731, 1223, 3353, 3703, 5655, 31265, 12249, 22127, 0};
static int joe_kuo_d6_initial_number11309[] = {1, 3, 5, 7, 7, 29, 61, 3, 375, 95, 1815, 4065, 6287, 3797, 32397, 50581, 123371, 0};
static int joe_kuo_d6_initial_number11310[] = {1, 3, 1, 9, 13, 37, 57, 139, 43, 561, 425, 3603, 1167, 10281, 31825, 32673, 106169, 0};
static int joe_kuo_d6_initial_number11311[] = {1, 3, 5, 3, 15, 41, 29, 223, 79, 851, 1741, 2241, 5659, 9773, 18369, 37239, 14831, 0};
static int joe_kuo_d6_initial_number11312[] = {1, 3, 1, 1, 7, 11, 83, 63, 51, 521, 1911, 475, 5207, 3219, 10257, 40461, 9087, 0};
static int joe_kuo_d6_initial_number11313[] = {1, 3, 5, 7, 23, 17, 97, 195, 5, 451, 1971, 1881, 921, 8729, 3443, 64529, 67747, 0};
static int joe_kuo_d6_initial_number11314[] = {1, 1, 3, 9, 21, 63, 45, 181, 429, 605, 169, 3493, 2381, 2887, 19515, 53151, 60147, 0};
static int joe_kuo_d6_initial_number11315[] = {1, 3, 3, 7, 15, 11, 117, 161, 333, 139, 587, 2331, 3175, 12093, 12649, 52381, 107117, 0};
static int joe_kuo_d6_initial_number11316[] = {1, 1, 5, 15, 23, 57, 19, 57, 507, 461, 799, 611, 1589, 10909, 7649, 17817, 24677, 0};
static int joe_kuo_d6_initial_number11317[] = {1, 1, 3, 15, 1, 61, 9, 201, 401, 387, 527, 2855, 2339, 3813, 11825, 14273, 73745, 0};
static int joe_kuo_d6_initial_number11318[] = {1, 3, 1, 5, 1, 37, 27, 105, 475, 335, 1169, 3233, 3225, 12861, 10133, 36673, 55025, 0};
static int joe_kuo_d6_initial_number11319[] = {1, 1, 1, 9, 27, 53, 55, 197, 229, 5, 93, 1157, 7929, 9745, 5295, 15359, 75567, 0};
static int joe_kuo_d6_initial_number11320[] = {1, 1, 7, 5, 11, 3, 109, 81, 457, 159, 1899, 557, 1067, 295, 2661, 1145, 8745, 0};
static int joe_kuo_d6_initial_number11321[] = {1, 1, 1, 15, 31, 29, 77, 171, 411, 425, 1041, 2791, 2567, 5357, 21871, 27689, 103485, 0};
static int joe_kuo_d6_initial_number11322[] = {1, 3, 5, 11, 19, 47, 23, 97, 405, 667, 2045, 2951, 2063, 7775, 20629, 34283, 26925, 0};
static int joe_kuo_d6_initial_number11323[] = {1, 3, 5, 7, 5, 51, 125, 67, 165, 145, 733, 1649, 5787, 4333, 24355, 33397, 101001, 0};
static int joe_kuo_d6_initial_number11324[] = {1, 3, 7, 11, 13, 7, 117, 147, 449, 201, 953, 553, 1839, 6903, 10417, 42751, 36823, 0};
static int joe_kuo_d6_initial_number11325[] = {1, 1, 3, 5, 3, 21, 109, 35, 95, 953, 211, 2849, 5681, 16287, 16553, 30345, 69729, 0};
static int joe_kuo_d6_initial_number11326[] = {1, 3, 7, 5, 25, 37, 21, 143, 317, 621, 1417, 283, 3801, 15375, 3799, 13345, 59727, 0};
static int joe_kuo_d6_initial_number11327[] = {1, 3, 3, 9, 3, 37, 113, 127, 123, 979, 1225, 2585, 2055, 2571, 16727, 38863, 74347, 0};
static int joe_kuo_d6_initial_number11328[] = {1, 3, 3, 3, 23, 13, 49, 111, 277, 143, 1171, 605, 91, 13693, 1971, 18209, 114203, 0};
static int joe_kuo_d6_initial_number11329[] = {1, 1, 1, 9, 27, 33, 73, 9, 93, 343, 55, 3045, 2029, 3665, 28483, 6601, 72085, 0};
static int joe_kuo_d6_initial_number11330[] = {1, 1, 1, 15, 17, 55, 87, 231, 103, 1005, 1451, 3617, 7477, 2045, 10683, 39053, 1289, 0};
static int joe_kuo_d6_initial_number11331[] = {1, 3, 7, 7, 25, 55, 39, 89, 489, 609, 1969, 159, 7485, 10713, 28371, 14935, 95347, 0};
static int joe_kuo_d6_initial_number11332[] = {1, 3, 3, 13, 25, 9, 83, 167, 25, 135, 2017, 3313, 1493, 7799, 22479, 49471, 20149, 0};
static int joe_kuo_d6_initial_number11333[] = {1, 1, 1, 15, 25, 13, 63, 117, 97, 449, 1331, 229, 6027, 1023, 26705, 15283, 60385, 0};
static int joe_kuo_d6_initial_number11334[] = {1, 1, 7, 5, 5, 37, 3, 79, 337, 861, 1549, 915, 7303, 1503, 19245, 60721, 45313, 0};
static int joe_kuo_d6_initial_number11335[] = {1, 3, 7, 15, 19, 1, 11, 39, 505, 757, 1627, 2137, 3209, 7651, 31291, 45913, 26851, 0};
static int joe_kuo_d6_initial_number11336[] = {1, 3, 1, 5, 25, 21, 85, 233, 171, 269, 367, 1651, 3961, 2487, 1977, 7027, 2725, 0};
static int joe_kuo_d6_initial_number11337[] = {1, 1, 5, 15, 13, 23, 81, 145, 201, 323, 425, 2785, 1149, 12617, 11451, 23205, 117691, 0};
static int joe_kuo_d6_initial_number11338[] = {1, 1, 7, 11, 29, 37, 69, 141, 15, 773, 1299, 2147, 8129, 12227, 27811, 58701, 103637, 0};
static int joe_kuo_d6_initial_number11339[] = {1, 3, 5, 13, 3, 33, 29, 227, 261, 221, 823, 1399, 5107, 2423, 23809, 42175, 28207, 0};
static int joe_kuo_d6_initial_number11340[] = {1, 3, 1, 15, 21, 1, 121, 255, 259, 441, 45, 1899, 2489, 4155, 18317, 52695, 607, 0};
static int joe_kuo_d6_initial_number11341[] = {1, 3, 5, 9, 25, 43, 115, 111, 329, 997, 753, 1513, 6949, 3197, 28275, 48855, 25089, 0};
static int joe_kuo_d6_initial_number11342[] = {1, 3, 3, 3, 25, 9, 21, 213, 111, 173, 913, 1465, 4437, 9725, 1455, 53517, 81843, 0};
static int joe_kuo_d6_initial_number11343[] = {1, 3, 5, 5, 5, 25, 3, 159, 19, 203, 181, 3447, 6395, 2145, 11289, 16797, 59567, 0};
static int joe_kuo_d6_initial_number11344[] = {1, 3, 3, 1, 29, 25, 43, 115, 257, 833, 379, 941, 4389, 5795, 12593, 2471, 127149, 0};
static int joe_kuo_d6_initial_number11345[] = {1, 3, 1, 9, 3, 15, 81, 141, 155, 515, 1677, 2569, 1105, 15653, 24143, 3439, 17317, 0};
static int joe_kuo_d6_initial_number11346[] = {1, 3, 1, 13, 27, 13, 103, 87, 27, 971, 671, 629, 4943, 13897, 4003, 21507, 40193, 0};
static int joe_kuo_d6_initial_number11347[] = {1, 3, 5, 9, 1, 49, 11, 15, 511, 837, 1953, 1585, 1867, 9095, 543, 16993, 115187, 0};
static int joe_kuo_d6_initial_number11348[] = {1, 1, 5, 11, 21, 49, 37, 61, 9, 629, 1025, 1635, 4047, 15491, 28481, 43235, 53165, 0};
static int joe_kuo_d6_initial_number11349[] = {1, 1, 5, 7, 15, 57, 121, 119, 405, 29, 655, 3085, 7131, 14761, 2273, 47113, 8603, 0};
static int joe_kuo_d6_initial_number11350[] = {1, 1, 3, 3, 11, 45, 51, 107, 367, 235, 675, 3777, 6081, 16319, 19499, 36893, 25579, 0};
static int joe_kuo_d6_initial_number11351[] = {1, 1, 7, 11, 1, 13, 43, 159, 415, 423, 1223, 2201, 1089, 10189, 12457, 26691, 3603, 0};
static int joe_kuo_d6_initial_number11352[] = {1, 1, 3, 3, 3, 37, 109, 67, 487, 785, 637, 3931, 929, 14153, 25283, 483, 14371, 0};
static int joe_kuo_d6_initial_number11353[] = {1, 1, 7, 9, 31, 59, 9, 245, 479, 113, 1419, 3265, 8131, 11123, 32519, 12141, 82059, 0};
static int joe_kuo_d6_initial_number11354[] = {1, 1, 1, 7, 25, 25, 31, 13, 81, 217, 997, 1161, 1049, 5487, 8487, 57807, 126115, 0};
static int joe_kuo_d6_initial_number11355[] = {1, 1, 3, 15, 1, 23, 63, 39, 503, 933, 1915, 687, 547, 779, 7689, 38607, 125229, 0};
static int joe_kuo_d6_initial_number11356[] = {1, 1, 3, 3, 31, 49, 51, 87, 99, 327, 783, 3487, 7307, 2759, 22781, 56343, 126805, 0};
static int joe_kuo_d6_initial_number11357[] = {1, 3, 3, 11, 27, 43, 99, 197, 275, 19, 775, 329, 3815, 14277, 3363, 26375, 75427, 0};
static int joe_kuo_d6_initial_number11358[] = {1, 1, 5, 15, 15, 19, 65, 109, 103, 411, 1591, 2569, 1981, 4773, 7861, 6303, 127421, 0};
static int joe_kuo_d6_initial_number11359[] = {1, 3, 1, 13, 1, 53, 107, 151, 317, 201, 1053, 2701, 5039, 2179, 10085, 31727, 85579, 0};
static int joe_kuo_d6_initial_number11360[] = {1, 3, 1, 9, 5, 55, 71, 143, 187, 29, 1363, 2403, 2675, 2187, 12123, 32825, 56461, 0};
static int joe_kuo_d6_initial_number11361[] = {1, 1, 7, 11, 5, 57, 91, 95, 85, 597, 925, 11, 1915, 9159, 9997, 29565, 111655, 0};
static int joe_kuo_d6_initial_number11362[] = {1, 1, 5, 9, 25, 57, 79, 189, 205, 687, 471, 601, 5343, 9031, 7853, 6079, 40567, 0};
static int joe_kuo_d6_initial_number11363[] = {1, 1, 3, 1, 31, 53, 67, 191, 511, 369, 1273, 3859, 4253, 14469, 3427, 17691, 22599, 0};
static int joe_kuo_d6_initial_number11364[] = {1, 1, 3, 9, 17, 53, 101, 219, 41, 663, 635, 3889, 2197, 8125, 8313, 14957, 111445, 0};
static int joe_kuo_d6_initial_number11365[] = {1, 1, 5, 5, 7, 49, 113, 9, 399, 257, 617, 63, 2773, 4411, 1193, 54449, 89003, 0};
static int joe_kuo_d6_initial_number11366[] = {1, 1, 7, 11, 13, 29, 77, 73, 161, 419, 985, 303, 2237, 15217, 26621, 20441, 113955, 0};
static int joe_kuo_d6_initial_number11367[] = {1, 3, 3, 9, 17, 39, 37, 139, 289, 421, 1021, 2635, 2805, 5815, 9101, 48077, 114009, 0};
static int joe_kuo_d6_initial_number11368[] = {1, 1, 1, 15, 25, 43, 71, 35, 103, 827, 1301, 3567, 3425, 3689, 14453, 10733, 81257, 0};
static int joe_kuo_d6_initial_number11369[] = {1, 3, 5, 5, 15, 31, 41, 161, 481, 231, 1135, 3045, 439, 11785, 14863, 39729, 59539, 0};
static int joe_kuo_d6_initial_number11370[] = {1, 1, 5, 7, 27, 9, 81, 141, 395, 105, 41, 3719, 3105, 13685, 7451, 31381, 82907, 0};
static int joe_kuo_d6_initial_number11371[] = {1, 3, 1, 13, 15, 25, 127, 231, 433, 837, 1923, 1301, 2479, 3243, 21605, 55789, 11311, 0};
static int joe_kuo_d6_initial_number11372[] = {1, 3, 5, 7, 17, 5, 27, 111, 217, 445, 1245, 1029, 7663, 10291, 16483, 37503, 110205, 0};
static int joe_kuo_d6_initial_number11373[] = {1, 1, 1, 7, 31, 21, 51, 235, 487, 457, 1687, 2947, 5067, 13779, 7671, 7257, 119141, 0};
static int joe_kuo_d6_initial_number11374[] = {1, 1, 5, 13, 25, 31, 59, 183, 33, 887, 469, 813, 7939, 11775, 5795, 26227, 57703, 0};
static int joe_kuo_d6_initial_number11375[] = {1, 3, 3, 15, 17, 7, 19, 87, 365, 177, 1157, 1023, 3055, 15439, 27187, 32593, 112507, 0};
static int joe_kuo_d6_initial_number11376[] = {1, 1, 1, 9, 19, 49, 103, 239, 207, 409, 1613, 2793, 5477, 11221, 21611, 19963, 99333, 0};
static int joe_kuo_d6_initial_number11377[] = {1, 3, 3, 11, 17, 1, 103, 77, 93, 197, 1883, 4053, 4613, 11571, 1841, 23189, 4235, 0};
static int joe_kuo_d6_initial_number11378[] = {1, 3, 5, 9, 9, 49, 29, 231, 167, 593, 1909, 2457, 323, 10549, 6551, 45597, 96591, 0};
static int joe_kuo_d6_initial_number11379[] = {1, 1, 7, 11, 15, 39, 33, 61, 13, 879, 1589, 2169, 125, 2427, 13029, 24919, 14147, 0};
static int joe_kuo_d6_initial_number11380[] = {1, 3, 5, 5, 25, 53, 49, 255, 263, 917, 1997, 171, 2945, 14243, 12983, 21821, 119547, 0};
static int joe_kuo_d6_initial_number11381[] = {1, 1, 1, 15, 5, 25, 113, 235, 311, 377, 1059, 1365, 3457, 8699, 18617, 25119, 110659, 0};
static int joe_kuo_d6_initial_number11382[] = {1, 1, 5, 1, 9, 61, 1, 137, 301, 85, 1527, 3831, 923, 13753, 20909, 14007, 22939, 0};
static int joe_kuo_d6_initial_number11383[] = {1, 1, 7, 9, 23, 17, 31, 107, 55, 293, 425, 3513, 3503, 10075, 6299, 40007, 54355, 0};
static int joe_kuo_d6_initial_number11384[] = {1, 3, 5, 5, 27, 39, 95, 187, 239, 949, 531, 3541, 99, 6339, 32295, 10377, 111287, 0};
static int joe_kuo_d6_initial_number11385[] = {1, 1, 5, 15, 19, 39, 23, 89, 185, 47, 87, 1721, 2471, 13221, 13201, 31, 12897, 0};
static int joe_kuo_d6_initial_number11386[] = {1, 3, 1, 9, 7, 7, 109, 241, 39, 687, 175, 139, 583, 1629, 19775, 6371, 121879, 0};
static int joe_kuo_d6_initial_number11387[] = {1, 1, 1, 13, 13, 9, 73, 153, 367, 425, 217, 3981, 5203, 1111, 12333, 59799, 105259, 0};
static int joe_kuo_d6_initial_number11388[] = {1, 1, 3, 5, 7, 33, 27, 123, 335, 727, 1619, 3999, 7799, 2807, 2251, 45835, 113193, 0};
static int joe_kuo_d6_initial_number11389[] = {1, 3, 1, 7, 25, 3, 49, 163, 447, 555, 647, 1461, 5881, 15755, 32233, 48915, 96203, 0};
static int joe_kuo_d6_initial_number11390[] = {1, 3, 7, 7, 21, 11, 61, 101, 323, 165, 1489, 2933, 3363, 8471, 4311, 65279, 123813, 0};
static int joe_kuo_d6_initial_number11391[] = {1, 3, 1, 1, 15, 1, 101, 225, 473, 479, 1237, 113, 7591, 2883, 3891, 53703, 14607, 0};
static int joe_kuo_d6_initial_number11392[] = {1, 3, 5, 3, 17, 51, 23, 31, 487, 957, 1623, 2329, 2801, 6213, 7523, 14131, 23893, 0};
static int joe_kuo_d6_initial_number11393[] = {1, 1, 5, 7, 9, 39, 93, 105, 13, 481, 53, 3785, 5621, 11889, 993, 23611, 73651, 0};
static int joe_kuo_d6_initial_number11394[] = {1, 3, 7, 15, 21, 57, 97, 69, 339, 289, 1805, 2661, 1165, 6079, 1127, 51285, 54453, 0};
static int joe_kuo_d6_initial_number11395[] = {1, 1, 3, 3, 3, 3, 1, 179, 123, 1011, 1363, 231, 6983, 9499, 91, 52573, 32565, 0};
static int joe_kuo_d6_initial_number11396[] = {1, 3, 3, 15, 5, 37, 97, 7, 189, 547, 1965, 3821, 4907, 8181, 12857, 7907, 19361, 0};
static int joe_kuo_d6_initial_number11397[] = {1, 1, 5, 3, 29, 33, 45, 99, 359, 337, 1377, 577, 3117, 9545, 30093, 26147, 128509, 0};
static int joe_kuo_d6_initial_number11398[] = {1, 3, 5, 11, 7, 49, 99, 249, 37, 755, 383, 2845, 4153, 695, 11099, 33653, 105155, 0};
static int joe_kuo_d6_initial_number11399[] = {1, 3, 1, 1, 19, 3, 3, 177, 97, 323, 1367, 213, 4391, 11223, 26497, 12289, 39047, 0};
static int joe_kuo_d6_initial_number11400[] = {1, 1, 3, 7, 3, 33, 73, 199, 339, 479, 1797, 3905, 2849, 5667, 18015, 36653, 83491, 0};
static int joe_kuo_d6_initial_number11401[] = {1, 1, 5, 3, 27, 59, 27, 241, 49, 161, 451, 3993, 2489, 10681, 11895, 60405, 47021, 0};
static int joe_kuo_d6_initial_number11402[] = {1, 1, 7, 5, 9, 23, 115, 131, 383, 895, 1591, 585, 2571, 7485, 31535, 12871, 95717, 0};
static int joe_kuo_d6_initial_number11403[] = {1, 1, 1, 15, 13, 49, 3, 157, 311, 159, 1239, 159, 5643, 6405, 11763, 34609, 75259, 0};
static int joe_kuo_d6_initial_number11404[] = {1, 1, 1, 13, 11, 41, 119, 3, 165, 943, 2035, 179, 357, 14591, 20099, 4787, 12659, 0};
static int joe_kuo_d6_initial_number11405[] = {1, 1, 5, 11, 13, 9, 67, 139, 259, 947, 1559, 283, 1557, 11297, 29753, 21953, 100317, 0};
static int joe_kuo_d6_initial_number11406[] = {1, 1, 7, 11, 13, 39, 105, 83, 109, 723, 1643, 3599, 1471, 13653, 4583, 18595, 91935, 0};
static int joe_kuo_d6_initial_number11407[] = {1, 1, 5, 9, 25, 5, 69, 189, 209, 779, 1421, 467, 849, 12887, 10317, 3005, 100813, 0};
static int joe_kuo_d6_initial_number11408[] = {1, 3, 7, 11, 19, 1, 93, 239, 333, 713, 1525, 813, 5913, 10811, 7077, 20573, 86999, 0};
static int joe_kuo_d6_initial_number11409[] = {1, 3, 1, 5, 25, 1, 107, 153, 225, 889, 1319, 497, 2193, 11511, 17553, 23733, 83179, 0};
static int joe_kuo_d6_initial_number11410[] = {1, 3, 3, 3, 5, 45, 51, 37, 443, 851, 263, 4067, 2629, 10887, 29081, 30489, 1161, 0};
static int joe_kuo_d6_initial_number11411[] = {1, 1, 3, 9, 25, 19, 115, 31, 347, 641, 1103, 1121, 7051, 14071, 16663, 48517, 24655, 0};
static int joe_kuo_d6_initial_number11412[] = {1, 1, 3, 15, 11, 33, 123, 181, 225, 437, 875, 1997, 209, 5487, 1989, 6745, 38423, 0};
static int joe_kuo_d6_initial_number11413[] = {1, 3, 7, 5, 27, 5, 105, 203, 51, 683, 1523, 347, 6881, 4353, 4531, 29589, 108053, 0};
static int joe_kuo_d6_initial_number11414[] = {1, 1, 3, 9, 15, 33, 127, 145, 125, 429, 915, 1307, 1495, 3553, 26797, 36819, 121375, 0};
static int joe_kuo_d6_initial_number11415[] = {1, 3, 5, 15, 7, 1, 55, 99, 7, 405, 885, 59, 5359, 13969, 32037, 53399, 77293, 0};
static int joe_kuo_d6_initial_number11416[] = {1, 1, 7, 1, 29, 31, 89, 69, 405, 837, 1949, 2337, 1139, 14129, 16867, 15167, 21117, 0};
static int joe_kuo_d6_initial_number11417[] = {1, 1, 3, 5, 3, 25, 61, 175, 135, 109, 959, 501, 13, 16057, 25031, 16321, 27617, 0};
static int joe_kuo_d6_initial_number11418[] = {1, 3, 1, 5, 17, 39, 59, 113, 25, 707, 1641, 3489, 6193, 10085, 13837, 57851, 77475, 0};
static int joe_kuo_d6_initial_number11419[] = {1, 1, 3, 5, 17, 35, 111, 163, 253, 641, 715, 1101, 4411, 10771, 20241, 46415, 114719, 0};
static int joe_kuo_d6_initial_number11420[] = {1, 3, 1, 1, 7, 11, 77, 59, 71, 869, 1505, 751, 4367, 9603, 29735, 7333, 62487, 0};
static int joe_kuo_d6_initial_number11421[] = {1, 3, 7, 9, 3, 51, 93, 195, 497, 659, 1563, 3801, 6933, 9089, 10891, 9853, 93611, 0};
static int joe_kuo_d6_initial_number11422[] = {1, 3, 1, 7, 21, 47, 61, 117, 293, 281, 1547, 3437, 4947, 12119, 21425, 5591, 23951, 0};
static int joe_kuo_d6_initial_number11423[] = {1, 1, 7, 13, 19, 59, 121, 249, 147, 759, 1963, 465, 7785, 7015, 81, 47869, 123845, 0};
static int joe_kuo_d6_initial_number11424[] = {1, 1, 7, 13, 5, 35, 45, 69, 167, 263, 979, 2855, 1845, 5531, 17167, 7363, 89233, 0};
static int joe_kuo_d6_initial_number11425[] = {1, 3, 3, 3, 17, 43, 109, 193, 389, 867, 1403, 1271, 7127, 13977, 22547, 53997, 24475, 0};
static int joe_kuo_d6_initial_number11426[] = {1, 1, 1, 5, 25, 43, 47, 163, 417, 967, 819, 2433, 439, 8499, 29705, 32697, 109963, 0};
static int joe_kuo_d6_initial_number11427[] = {1, 1, 1, 15, 19, 5, 83, 237, 431, 697, 1383, 2499, 6907, 9033, 12147, 23479, 17649, 0};
static int joe_kuo_d6_initial_number11428[] = {1, 3, 5, 13, 27, 35, 103, 95, 239, 903, 537, 601, 417, 15859, 16533, 16753, 128229, 0};
static int joe_kuo_d6_initial_number11429[] = {1, 1, 3, 1, 11, 55, 57, 9, 229, 135, 805, 2745, 2023, 12645, 29135, 39051, 17065, 0};
static int joe_kuo_d6_initial_number11430[] = {1, 3, 5, 3, 13, 25, 77, 29, 449, 31, 1733, 1451, 3895, 11551, 1011, 22817, 35959, 0};
static int joe_kuo_d6_initial_number11431[] = {1, 3, 3, 3, 1, 31, 93, 47, 255, 393, 571, 443, 6079, 6245, 11773, 42087, 40651, 0};
static int joe_kuo_d6_initial_number11432[] = {1, 3, 1, 5, 17, 49, 119, 219, 375, 337, 29, 3409, 3187, 15243, 25853, 44385, 103675, 0};
static int joe_kuo_d6_initial_number11433[] = {1, 3, 7, 15, 15, 21, 79, 109, 81, 119, 603, 1665, 7813, 3485, 11801, 48693, 108307, 0};
static int joe_kuo_d6_initial_number11434[] = {1, 1, 1, 15, 9, 5, 103, 141, 181, 841, 7, 1217, 7713, 4843, 9089, 53641, 3029, 0};
static int joe_kuo_d6_initial_number11435[] = {1, 3, 3, 1, 29, 47, 13, 179, 439, 387, 1553, 3141, 947, 4893, 29119, 30865, 14207, 0};
static int joe_kuo_d6_initial_number11436[] = {1, 1, 1, 15, 29, 1, 41, 135, 43, 673, 1527, 883, 3211, 5195, 30219, 47133, 56819, 0};
static int joe_kuo_d6_initial_number11437[] = {1, 3, 5, 13, 13, 47, 97, 219, 277, 397, 1901, 821, 1961, 705, 7291, 19435, 123563, 0};
static int joe_kuo_d6_initial_number11438[] = {1, 1, 7, 15, 5, 49, 93, 59, 221, 205, 115, 559, 5633, 5819, 6923, 18301, 72639, 0};
static int joe_kuo_d6_initial_number11439[] = {1, 3, 5, 13, 29, 49, 25, 203, 125, 385, 487, 1897, 2177, 6859, 6105, 763, 36673, 0};
static int joe_kuo_d6_initial_number11440[] = {1, 3, 3, 9, 23, 63, 9, 115, 489, 89, 1113, 1351, 8181, 2569, 18263, 32619, 24795, 0};
static int joe_kuo_d6_initial_number11441[] = {1, 1, 5, 11, 25, 51, 97, 155, 15, 139, 1275, 3479, 5851, 3099, 7417, 57155, 90185, 0};
static int joe_kuo_d6_initial_number11442[] = {1, 3, 1, 11, 1, 37, 67, 221, 493, 475, 1881, 2277, 4365, 9411, 16629, 65229, 28803, 0};
static int joe_kuo_d6_initial_number11443[] = {1, 3, 1, 1, 15, 53, 39, 141, 453, 151, 335, 795, 1515, 2719, 24197, 21153, 129549, 0};
static int joe_kuo_d6_initial_number11444[] = {1, 1, 1, 7, 19, 31, 59, 123, 73, 149, 469, 1199, 3603, 1539, 29157, 50031, 22109, 0};
static int joe_kuo_d6_initial_number11445[] = {1, 1, 3, 15, 23, 51, 45, 211, 423, 553, 1289, 1125, 6347, 6711, 23761, 14109, 17261, 0};
static int joe_kuo_d6_initial_number11446[] = {1, 3, 5, 13, 5, 7, 35, 185, 263, 791, 161, 325, 4771, 11913, 31595, 56675, 68615, 0};
static int joe_kuo_d6_initial_number11447[] = {1, 1, 5, 9, 19, 27, 89, 147, 55, 197, 1695, 99, 755, 15115, 1933, 41439, 85063, 0};
static int joe_kuo_d6_initial_number11448[] = {1, 1, 7, 7, 17, 11, 103, 55, 281, 707, 1973, 2055, 5015, 5713, 3717, 44149, 8033, 0};
static int joe_kuo_d6_initial_number11449[] = {1, 3, 1, 5, 21, 49, 55, 93, 161, 565, 81, 3241, 3709, 8185, 16935, 60369, 118127, 0};
static int joe_kuo_d6_initial_number11450[] = {1, 3, 7, 9, 27, 1, 105, 133, 397, 351, 1021, 739, 161, 9971, 24733, 29239, 68853, 0};
static int joe_kuo_d6_initial_number11451[] = {1, 1, 7, 1, 1, 19, 97, 243, 73, 969, 313, 399, 2955, 2467, 18265, 60637, 35457, 0};
static int joe_kuo_d6_initial_number11452[] = {1, 3, 1, 11, 29, 25, 35, 35, 469, 143, 1195, 911, 1023, 14685, 10933, 16449, 102113, 0};
static int joe_kuo_d6_initial_number11453[] = {1, 1, 5, 3, 31, 21, 65, 181, 13, 235, 501, 3621, 3567, 8771, 32747, 59231, 91551, 0};
static int joe_kuo_d6_initial_number11454[] = {1, 1, 1, 13, 29, 21, 13, 33, 193, 565, 203, 3927, 4749, 9897, 26109, 14221, 27733, 0};
static int joe_kuo_d6_initial_number11455[] = {1, 1, 1, 5, 29, 41, 7, 125, 391, 295, 533, 2135, 3107, 7711, 27811, 55767, 78821, 0};
static int joe_kuo_d6_initial_number11456[] = {1, 1, 7, 3, 19, 25, 117, 195, 155, 685, 147, 2049, 3751, 4585, 24893, 36895, 80371, 0};
static int joe_kuo_d6_initial_number11457[] = {1, 3, 5, 5, 23, 41, 9, 125, 315, 809, 1019, 1453, 4605, 13753, 30641, 50677, 94781, 0};
static int joe_kuo_d6_initial_number11458[] = {1, 1, 1, 7, 27, 45, 103, 199, 37, 291, 651, 185, 6715, 15387, 30873, 63051, 123231, 0};
static int joe_kuo_d6_initial_number11459[] = {1, 1, 5, 7, 17, 5, 75, 129, 401, 107, 1681, 2039, 299, 12399, 30947, 26327, 91589, 0};
static int joe_kuo_d6_initial_number11460[] = {1, 3, 3, 15, 17, 19, 109, 19, 493, 797, 209, 929, 2821, 395, 22173, 27803, 87953, 0};
static int joe_kuo_d6_initial_number11461[] = {1, 3, 7, 5, 7, 5, 71, 159, 483, 389, 1817, 4093, 963, 4253, 31267, 63919, 62113, 0};
static int joe_kuo_d6_initial_number11462[] = {1, 3, 3, 15, 9, 49, 89, 49, 15, 61, 2041, 2357, 2173, 3349, 32565, 23207, 21177, 0};
static int joe_kuo_d6_initial_number11463[] = {1, 1, 1, 13, 15, 21, 31, 143, 387, 371, 567, 1903, 3793, 9559, 7055, 31251, 13663, 0};
static int joe_kuo_d6_initial_number11464[] = {1, 1, 3, 13, 3, 7, 49, 31, 255, 581, 627, 1947, 2965, 2787, 8275, 59785, 19979, 0};
static int joe_kuo_d6_initial_number11465[] = {1, 3, 3, 13, 29, 47, 53, 133, 301, 253, 1215, 3409, 5745, 247, 31585, 5555, 31011, 0};
static int joe_kuo_d6_initial_number11466[] = {1, 3, 7, 15, 23, 49, 1, 89, 141, 423, 707, 645, 7955, 10485, 27223, 35867, 45461, 0};
static int joe_kuo_d6_initial_number11467[] = {1, 1, 3, 3, 29, 25, 123, 63, 197, 429, 169, 3229, 3797, 4029, 29947, 52781, 16065, 0};
static int joe_kuo_d6_initial_number11468[] = {1, 3, 3, 7, 29, 17, 83, 95, 199, 253, 133, 265, 6723, 6207, 12863, 61311, 21937, 0};
static int joe_kuo_d6_initial_number11469[] = {1, 3, 7, 13, 19, 61, 89, 151, 249, 597, 1389, 717, 5111, 3285, 6251, 50237, 108703, 0};
static int joe_kuo_d6_initial_number11470[] = {1, 3, 5, 11, 1, 23, 35, 61, 143, 45, 625, 1693, 4943, 2213, 9317, 7601, 28359, 0};
static int joe_kuo_d6_initial_number11471[] = {1, 3, 3, 15, 29, 43, 115, 23, 167, 355, 977, 439, 4767, 9967, 22997, 54725, 125637, 0};
static int joe_kuo_d6_initial_number11472[] = {1, 3, 7, 1, 29, 45, 83, 71, 395, 247, 1, 113, 6393, 12445, 16137, 35125, 102053, 0};
static int joe_kuo_d6_initial_number11473[] = {1, 1, 1, 7, 17, 55, 17, 159, 33, 237, 207, 1297, 5611, 6023, 17709, 60905, 3533, 0};
static int joe_kuo_d6_initial_number11474[] = {1, 3, 1, 13, 27, 57, 27, 235, 141, 917, 1655, 659, 939, 559, 2651, 705, 80141, 0};
static int joe_kuo_d6_initial_number11475[] = {1, 3, 7, 3, 3, 17, 111, 117, 467, 129, 1105, 3457, 2093, 8513, 19941, 22111, 54597, 0};
static int joe_kuo_d6_initial_number11476[] = {1, 3, 7, 3, 5, 17, 59, 195, 23, 547, 1799, 1427, 391, 4043, 10407, 31055, 38495, 0};
static int joe_kuo_d6_initial_number11477[] = {1, 1, 1, 7, 21, 9, 71, 33, 209, 773, 1243, 3239, 3763, 15229, 9609, 24395, 56145, 0};
static int joe_kuo_d6_initial_number11478[] = {1, 3, 5, 13, 13, 45, 71, 91, 23, 553, 665, 1753, 5173, 4355, 14317, 42517, 32307, 0};
static int joe_kuo_d6_initial_number11479[] = {1, 3, 5, 11, 31, 3, 37, 95, 63, 425, 1611, 2983, 5075, 1375, 14305, 11099, 101203, 0};
static int joe_kuo_d6_initial_number11480[] = {1, 1, 3, 1, 21, 7, 15, 141, 389, 871, 617, 271, 1037, 13569, 13019, 58899, 54097, 0};
static int joe_kuo_d6_initial_number11481[] = {1, 3, 7, 1, 13, 25, 21, 251, 467, 373, 1539, 4065, 1871, 791, 26315, 64187, 119455, 0};
static int joe_kuo_d6_initial_number11482[] = {1, 3, 1, 3, 25, 37, 43, 9, 187, 323, 409, 443, 2861, 14145, 26185, 24049, 109613, 0};
static int joe_kuo_d6_initial_number11483[] = {1, 1, 3, 7, 21, 61, 3, 81, 445, 673, 1269, 613, 1279, 8209, 22911, 48017, 54181, 0};
static int joe_kuo_d6_initial_number11484[] = {1, 1, 1, 15, 25, 63, 71, 147, 217, 491, 183, 977, 4967, 3471, 8791, 11843, 68005, 0};
static int joe_kuo_d6_initial_number11485[] = {1, 1, 1, 5, 25, 43, 13, 237, 57, 919, 1641, 399, 4269, 7357, 3465, 63901, 61329, 0};
static int joe_kuo_d6_initial_number11486[] = {1, 1, 7, 15, 27, 57, 47, 187, 295, 117, 1223, 2963, 4995, 13279, 25107, 56089, 37293, 0};
static int joe_kuo_d6_initial_number11487[] = {1, 1, 5, 13, 29, 19, 83, 121, 129, 931, 1933, 1141, 3125, 3321, 22019, 52729, 119643, 0};
static int joe_kuo_d6_initial_number11488[] = {1, 1, 1, 1, 21, 19, 49, 241, 227, 57, 1919, 113, 6993, 4687, 1043, 5247, 15565, 0};
static int joe_kuo_d6_initial_number11489[] = {1, 3, 3, 15, 5, 21, 65, 129, 485, 173, 1663, 2419, 4279, 4167, 25827, 28457, 68219, 0};
static int joe_kuo_d6_initial_number11490[] = {1, 1, 3, 1, 17, 9, 65, 21, 487, 875, 1111, 1679, 6451, 14825, 23931, 16053, 79687, 0};
static int joe_kuo_d6_initial_number11491[] = {1, 3, 3, 5, 13, 5, 49, 15, 267, 389, 1111, 1505, 5815, 6285, 26075, 167, 70325, 0};
static int joe_kuo_d6_initial_number11492[] = {1, 1, 3, 11, 5, 15, 57, 171, 407, 497, 1979, 2819, 1267, 6893, 6601, 30971, 24477, 0};
static int joe_kuo_d6_initial_number11493[] = {1, 1, 1, 15, 7, 5, 69, 181, 195, 847, 1245, 4019, 2469, 1407, 17013, 43437, 16307, 0};
static int joe_kuo_d6_initial_number11494[] = {1, 3, 1, 11, 15, 17, 115, 197, 215, 35, 1489, 659, 4725, 11339, 30259, 52539, 13365, 0};
static int joe_kuo_d6_initial_number11495[] = {1, 1, 1, 13, 23, 43, 21, 33, 17, 969, 1321, 2469, 4371, 7685, 6817, 20179, 113483, 0};
static int joe_kuo_d6_initial_number11496[] = {1, 3, 7, 3, 31, 11, 79, 55, 123, 263, 1061, 2087, 183, 11623, 20703, 60291, 115261, 0};
static int joe_kuo_d6_initial_number11497[] = {1, 1, 5, 13, 5, 53, 21, 71, 399, 165, 1997, 2667, 7361, 8863, 27859, 17235, 77623, 0};
static int joe_kuo_d6_initial_number11498[] = {1, 3, 3, 15, 21, 55, 27, 31, 371, 289, 253, 1453, 105, 7035, 14787, 2281, 128359, 0};
static int joe_kuo_d6_initial_number11499[] = {1, 1, 3, 15, 23, 29, 3, 143, 47, 255, 115, 2741, 6773, 16267, 5975, 3689, 97497, 0};
static int joe_kuo_d6_initial_number11500[] = {1, 1, 1, 15, 9, 57, 109, 43, 359, 365, 1577, 4091, 7399, 10521, 7983, 56119, 65451, 0};
static int joe_kuo_d6_initial_number11501[] = {1, 3, 7, 7, 29, 55, 115, 155, 121, 679, 663, 2345, 3765, 4493, 9555, 24043, 41467, 0};
static int joe_kuo_d6_initial_number11502[] = {1, 1, 3, 1, 19, 55, 67, 255, 355, 701, 2027, 3703, 7839, 1701, 7657, 36429, 36623, 0};
static int joe_kuo_d6_initial_number11503[] = {1, 3, 5, 5, 29, 7, 31, 123, 21, 901, 1581, 3993, 5105, 9715, 18347, 27415, 19253, 0};
static int joe_kuo_d6_initial_number11504[] = {1, 3, 5, 3, 3, 53, 121, 105, 51, 577, 157, 2151, 5105, 7855, 8595, 24457, 55931, 0};
static int joe_kuo_d6_initial_number11505[] = {1, 3, 1, 9, 23, 25, 67, 115, 79, 809, 1215, 943, 1075, 7103, 729, 18791, 115977, 0};
static int joe_kuo_d6_initial_number11506[] = {1, 3, 1, 13, 3, 57, 105, 161, 277, 393, 1671, 2765, 5781, 13429, 24075, 10931, 50951, 0};
static int joe_kuo_d6_initial_number11507[] = {1, 3, 5, 9, 19, 61, 9, 227, 455, 541, 721, 2855, 949, 10159, 13801, 48199, 26747, 0};
static int joe_kuo_d6_initial_number11508[] = {1, 3, 1, 3, 25, 61, 53, 177, 441, 697, 1845, 3573, 6673, 9691, 911, 46387, 64727, 0};
static int joe_kuo_d6_initial_number11509[] = {1, 1, 1, 11, 7, 13, 95, 221, 455, 967, 869, 883, 6301, 5261, 18401, 35745, 114645, 0};
static int joe_kuo_d6_initial_number11510[] = {1, 3, 1, 11, 15, 7, 115, 217, 235, 539, 491, 603, 2201, 241, 25445, 29773, 122695, 0};
static int joe_kuo_d6_initial_number11511[] = {1, 1, 5, 3, 19, 9, 71, 193, 131, 927, 1931, 3981, 7537, 10811, 27285, 45865, 106171, 0};
static int joe_kuo_d6_initial_number11512[] = {1, 1, 7, 5, 5, 21, 107, 77, 363, 733, 1011, 3259, 5263, 15043, 19153, 32117, 129409, 0};
static int joe_kuo_d6_initial_number11513[] = {1, 1, 3, 13, 21, 5, 9, 103, 369, 699, 329, 1065, 895, 13211, 19017, 5359, 38335, 0};
static int joe_kuo_d6_initial_number11514[] = {1, 1, 7, 15, 21, 11, 73, 153, 371, 753, 805, 3519, 5839, 1809, 7201, 8189, 68361, 0};
static int joe_kuo_d6_initial_number11515[] = {1, 3, 7, 9, 27, 45, 25, 175, 317, 381, 961, 619, 4827, 15161, 19091, 29369, 21097, 0};
static int joe_kuo_d6_initial_number11516[] = {1, 1, 5, 5, 7, 7, 21, 69, 23, 589, 1413, 653, 911, 13599, 18349, 47307, 64047, 0};
static int joe_kuo_d6_initial_number11517[] = {1, 1, 1, 13, 27, 23, 87, 249, 135, 727, 375, 3641, 1489, 13053, 5151, 62689, 101347, 0};
static int joe_kuo_d6_initial_number11518[] = {1, 1, 5, 11, 7, 39, 1, 109, 203, 961, 973, 1181, 2357, 5123, 31481, 58345, 52705, 0};
static int joe_kuo_d6_initial_number11519[] = {1, 1, 1, 15, 25, 15, 85, 49, 77, 235, 1761, 2731, 4157, 2057, 27587, 30299, 52997, 0};
static int joe_kuo_d6_initial_number11520[] = {1, 1, 5, 3, 1, 13, 47, 219, 51, 521, 625, 3243, 7093, 10823, 9559, 58191, 95573, 0};
static int joe_kuo_d6_initial_number11521[] = {1, 3, 5, 13, 27, 63, 13, 7, 167, 909, 1559, 2103, 1807, 943, 28997, 31015, 85407, 0};
static int joe_kuo_d6_initial_number11522[] = {1, 1, 3, 5, 17, 21, 101, 163, 477, 223, 175, 3435, 7071, 5121, 28015, 33365, 121057, 0};
static int joe_kuo_d6_initial_number11523[] = {1, 3, 7, 1, 11, 35, 111, 41, 261, 45, 1009, 2827, 4019, 5029, 22289, 20235, 13481, 0};
static int joe_kuo_d6_initial_number11524[] = {1, 3, 5, 5, 15, 41, 109, 7, 329, 447, 65, 1317, 6169, 15947, 31191, 47091, 60643, 0};
static int joe_kuo_d6_initial_number11525[] = {1, 3, 7, 7, 21, 13, 29, 113, 511, 407, 1211, 2065, 455, 10049, 5745, 48589, 48669, 0};
static int joe_kuo_d6_initial_number11526[] = {1, 1, 5, 5, 21, 45, 89, 19, 279, 165, 1897, 957, 8045, 565, 4959, 37173, 100773, 0};
static int joe_kuo_d6_initial_number11527[] = {1, 3, 1, 15, 9, 17, 99, 143, 489, 633, 1721, 1255, 3655, 10083, 29079, 17109, 10035, 0};
static int joe_kuo_d6_initial_number11528[] = {1, 1, 3, 3, 3, 23, 47, 9, 255, 169, 1103, 1799, 7899, 7673, 19259, 61919, 112831, 0};
static int joe_kuo_d6_initial_number11529[] = {1, 1, 5, 5, 31, 37, 83, 229, 93, 575, 1589, 2353, 185, 7783, 9413, 9617, 123197, 0};
static int joe_kuo_d6_initial_number11530[] = {1, 3, 5, 7, 31, 7, 113, 255, 231, 309, 1215, 737, 3635, 14631, 28737, 45127, 111399, 0};
static int joe_kuo_d6_initial_number11531[] = {1, 1, 7, 1, 11, 5, 55, 235, 369, 983, 873, 655, 6277, 11425, 11191, 38231, 88941, 0};
static int joe_kuo_d6_initial_number11532[] = {1, 3, 1, 9, 3, 1, 119, 93, 245, 167, 853, 2543, 203, 5313, 14129, 6283, 107117, 0};
static int joe_kuo_d6_initial_number11533[] = {1, 3, 3, 13, 21, 33, 59, 167, 435, 163, 1873, 3341, 2895, 13205, 14147, 19567, 100127, 0};
static int joe_kuo_d6_initial_number11534[] = {1, 1, 5, 9, 7, 15, 39, 81, 475, 511, 1585, 63, 6861, 10055, 3577, 48999, 80979, 0};
static int joe_kuo_d6_initial_number11535[] = {1, 1, 5, 13, 21, 29, 17, 3, 499, 739, 1257, 2925, 8179, 13367, 18879, 19917, 109907, 0};
static int joe_kuo_d6_initial_number11536[] = {1, 3, 7, 13, 15, 57, 109, 19, 265, 579, 233, 2507, 5059, 14713, 9549, 41915, 56199, 0};
static int joe_kuo_d6_initial_number11537[] = {1, 3, 3, 5, 31, 25, 85, 163, 187, 795, 1597, 1963, 473, 4673, 4555, 51365, 73817, 0};
static int joe_kuo_d6_initial_number11538[] = {1, 3, 3, 13, 25, 35, 71, 251, 33, 971, 235, 1919, 6705, 14657, 23417, 56377, 21071, 0};
static int joe_kuo_d6_initial_number11539[] = {1, 3, 3, 11, 3, 29, 85, 193, 11, 831, 29, 1233, 6199, 11991, 9205, 3323, 23749, 0};
static int joe_kuo_d6_initial_number11540[] = {1, 3, 7, 7, 11, 15, 1, 17, 87, 665, 1593, 2331, 845, 7821, 89, 7057, 114975, 0};
static int joe_kuo_d6_initial_number11541[] = {1, 1, 5, 11, 9, 37, 39, 79, 455, 397, 1431, 1541, 7629, 15133, 21395, 35619, 123801, 0};
static int joe_kuo_d6_initial_number11542[] = {1, 1, 1, 7, 11, 59, 67, 45, 169, 869, 1547, 2947, 3025, 12967, 29927, 22181, 44783, 0};
static int joe_kuo_d6_initial_number11543[] = {1, 1, 5, 7, 3, 57, 123, 253, 369, 537, 83, 1147, 3469, 9775, 14137, 38899, 101143, 0};
static int joe_kuo_d6_initial_number11544[] = {1, 3, 5, 3, 19, 35, 11, 215, 343, 677, 1873, 1211, 3129, 9017, 29595, 1291, 39397, 0};
static int joe_kuo_d6_initial_number11545[] = {1, 1, 7, 3, 25, 7, 61, 229, 187, 839, 747, 3347, 4321, 13201, 19665, 56951, 85273, 0};
static int joe_kuo_d6_initial_number11546[] = {1, 1, 1, 1, 11, 5, 51, 41, 227, 895, 553, 2673, 6581, 6583, 15429, 33211, 100599, 0};
static int joe_kuo_d6_initial_number11547[] = {1, 3, 3, 5, 21, 27, 91, 65, 213, 341, 723, 567, 4761, 11549, 15041, 23079, 55245, 0};
static int joe_kuo_d6_initial_number11548[] = {1, 1, 3, 1, 15, 43, 83, 57, 473, 453, 1351, 2055, 5769, 3887, 29481, 57915, 14017, 0};
static int joe_kuo_d6_initial_number11549[] = {1, 3, 3, 3, 21, 29, 121, 137, 99, 527, 711, 1169, 7869, 6245, 25423, 38989, 87019, 0};
static int joe_kuo_d6_initial_number11550[] = {1, 1, 5, 11, 9, 61, 125, 7, 207, 245, 1019, 635, 7099, 13133, 11809, 56705, 18801, 0};
static int joe_kuo_d6_initial_number11551[] = {1, 3, 7, 9, 15, 31, 37, 205, 439, 651, 255, 971, 4311, 7137, 11821, 45041, 31081, 0};
static int joe_kuo_d6_initial_number11552[] = {1, 1, 5, 9, 7, 55, 51, 147, 371, 881, 359, 3021, 1141, 14515, 14605, 64067, 98231, 0};
static int joe_kuo_d6_initial_number11553[] = {1, 3, 1, 3, 29, 9, 109, 21, 437, 321, 753, 3227, 2929, 14787, 2451, 54331, 115921, 0};
static int joe_kuo_d6_initial_number11554[] = {1, 3, 5, 7, 1, 29, 13, 167, 89, 185, 409, 209, 6625, 5237, 22513, 2095, 26427, 0};
static int joe_kuo_d6_initial_number11555[] = {1, 1, 1, 3, 3, 31, 25, 145, 27, 345, 957, 823, 7873, 9469, 29115, 12455, 39447, 0};
static int joe_kuo_d6_initial_number11556[] = {1, 1, 3, 3, 31, 15, 99, 181, 247, 165, 441, 59, 1181, 2851, 1337, 4929, 31079, 0};
static int joe_kuo_d6_initial_number11557[] = {1, 1, 3, 11, 3, 47, 41, 53, 41, 435, 945, 3839, 8083, 4927, 26919, 24689, 61015, 0};
static int joe_kuo_d6_initial_number11558[] = {1, 3, 3, 9, 7, 21, 121, 233, 493, 271, 549, 1627, 5861, 377, 20751, 52927, 3649, 0};
static int joe_kuo_d6_initial_number11559[] = {1, 1, 1, 7, 15, 49, 29, 149, 57, 513, 873, 93, 337, 12559, 24287, 27771, 28207, 0};
static int joe_kuo_d6_initial_number11560[] = {1, 1, 5, 7, 7, 7, 75, 161, 419, 601, 55, 2599, 5325, 12419, 26755, 5103, 10231, 0};
static int joe_kuo_d6_initial_number11561[] = {1, 3, 5, 15, 3, 55, 67, 183, 7, 371, 141, 4093, 4567, 13971, 3327, 20701, 78819, 0};
static int joe_kuo_d6_initial_number11562[] = {1, 1, 1, 13, 15, 41, 45, 29, 375, 235, 1985, 1051, 5863, 7043, 11143, 59381, 55007, 0};
static int joe_kuo_d6_initial_number11563[] = {1, 3, 1, 15, 15, 29, 15, 101, 395, 39, 1839, 1689, 429, 405, 29337, 28573, 10599, 0};
static int joe_kuo_d6_initial_number11564[] = {1, 3, 3, 11, 7, 5, 11, 153, 235, 227, 561, 1037, 2283, 6657, 6729, 17939, 29809, 0};
static int joe_kuo_d6_initial_number11565[] = {1, 1, 1, 5, 15, 59, 33, 69, 275, 447, 661, 2071, 5811, 10463, 32707, 64503, 106313, 0};
static int joe_kuo_d6_initial_number11566[] = {1, 1, 7, 1, 21, 53, 21, 235, 497, 309, 1207, 1613, 7739, 12785, 7743, 37671, 29197, 0};
static int joe_kuo_d6_initial_number11567[] = {1, 3, 5, 9, 9, 51, 33, 105, 275, 917, 1911, 3607, 865, 899, 5405, 59593, 113965, 0};
static int joe_kuo_d6_initial_number11568[] = {1, 3, 1, 7, 7, 63, 51, 83, 481, 347, 1323, 3549, 2873, 12527, 16515, 61077, 63239, 0};
static int joe_kuo_d6_initial_number11569[] = {1, 1, 1, 1, 13, 21, 87, 139, 461, 215, 1173, 1197, 2091, 11247, 25647, 23443, 105761, 0};
static int joe_kuo_d6_initial_number11570[] = {1, 1, 1, 1, 27, 33, 21, 27, 365, 75, 351, 2111, 3897, 13325, 4821, 41355, 95681, 0};
static int joe_kuo_d6_initial_number11571[] = {1, 3, 5, 5, 15, 41, 15, 93, 397, 461, 1993, 321, 4375, 1205, 18417, 37549, 30181, 0};
static int joe_kuo_d6_initial_number11572[] = {1, 3, 5, 15, 1, 49, 101, 129, 215, 773, 1265, 2245, 2517, 16261, 32149, 3545, 27631, 0};
static int joe_kuo_d6_initial_number11573[] = {1, 1, 1, 15, 5, 5, 3, 127, 265, 721, 875, 3117, 2177, 7843, 15871, 22687, 89347, 0};
static int joe_kuo_d6_initial_number11574[] = {1, 3, 7, 11, 29, 23, 69, 41, 155, 257, 563, 509, 6105, 9169, 18341, 25373, 127397, 0};
static int joe_kuo_d6_initial_number11575[] = {1, 1, 5, 13, 31, 23, 65, 131, 131, 61, 1979, 2737, 3793, 3617, 14385, 189, 84567, 0};
static int joe_kuo_d6_initial_number11576[] = {1, 1, 1, 13, 21, 33, 43, 97, 83, 903, 1971, 3209, 5391, 7703, 13795, 3895, 78045, 0};
static int joe_kuo_d6_initial_number11577[] = {1, 3, 3, 5, 17, 53, 113, 237, 269, 83, 589, 4029, 3309, 14531, 11359, 25803, 25525, 0};
static int joe_kuo_d6_initial_number11578[] = {1, 1, 7, 1, 21, 35, 43, 73, 251, 705, 1737, 3341, 1581, 9663, 6251, 16329, 44491, 0};
static int joe_kuo_d6_initial_number11579[] = {1, 3, 3, 7, 17, 5, 65, 19, 203, 717, 807, 1759, 6907, 15801, 30369, 2655, 69565, 0};
static int joe_kuo_d6_initial_number11580[] = {1, 1, 1, 1, 31, 21, 75, 221, 115, 395, 1495, 2739, 1745, 5981, 28045, 56581, 130695, 0};
static int joe_kuo_d6_initial_number11581[] = {1, 3, 1, 9, 27, 5, 113, 123, 367, 701, 647, 117, 2389, 12309, 1747, 23421, 21583, 0};
static int joe_kuo_d6_initial_number11582[] = {1, 1, 1, 15, 27, 57, 95, 81, 347, 765, 1435, 1727, 153, 6051, 27085, 62787, 40903, 0};
static int joe_kuo_d6_initial_number11583[] = {1, 1, 3, 11, 23, 29, 23, 29, 169, 653, 835, 357, 5113, 5293, 11779, 23567, 64569, 0};
static int joe_kuo_d6_initial_number11584[] = {1, 1, 7, 13, 31, 7, 101, 235, 99, 247, 1267, 509, 3927, 14317, 3217, 24389, 34215, 0};
static int joe_kuo_d6_initial_number11585[] = {1, 3, 3, 5, 21, 27, 33, 229, 33, 551, 815, 3551, 4261, 13325, 31117, 40689, 66549, 0};
static int joe_kuo_d6_initial_number11586[] = {1, 3, 7, 1, 23, 1, 99, 11, 139, 569, 365, 1233, 3281, 7817, 8833, 47699, 97825, 0};
static int joe_kuo_d6_initial_number11587[] = {1, 1, 3, 1, 19, 39, 19, 151, 25, 73, 1271, 1435, 3109, 2571, 9191, 48257, 61001, 0};
static int joe_kuo_d6_initial_number11588[] = {1, 3, 7, 1, 23, 63, 1, 115, 159, 943, 1637, 1443, 809, 10705, 12563, 63111, 96343, 0};
static int joe_kuo_d6_initial_number11589[] = {1, 1, 7, 15, 5, 17, 65, 157, 45, 199, 371, 2497, 4367, 9109, 31955, 64253, 69279, 0};
static int joe_kuo_d6_initial_number11590[] = {1, 3, 3, 15, 29, 45, 103, 183, 87, 543, 97, 1545, 2719, 5619, 28871, 4049, 111825, 0};
static int joe_kuo_d6_initial_number11591[] = {1, 1, 5, 7, 27, 63, 65, 241, 103, 483, 579, 3589, 5673, 13283, 24193, 31993, 72713, 0};
static int joe_kuo_d6_initial_number11592[] = {1, 3, 7, 9, 21, 35, 59, 183, 459, 211, 753, 3941, 5389, 10535, 2895, 44307, 26577, 0};
static int joe_kuo_d6_initial_number11593[] = {1, 3, 1, 3, 9, 11, 15, 141, 159, 853, 1975, 4027, 8053, 16129, 32687, 29117, 67507, 0};
static int joe_kuo_d6_initial_number11594[] = {1, 3, 3, 1, 19, 51, 55, 167, 85, 869, 437, 457, 7879, 2097, 4403, 2139, 10589, 0};
static int joe_kuo_d6_initial_number11595[] = {1, 3, 3, 15, 19, 33, 63, 229, 197, 269, 1189, 317, 5087, 3147, 787, 64317, 43293, 0};
static int joe_kuo_d6_initial_number11596[] = {1, 3, 5, 11, 25, 25, 121, 37, 371, 117, 1683, 2921, 671, 11353, 32273, 57597, 56901, 0};
static int joe_kuo_d6_initial_number11597[] = {1, 3, 7, 7, 9, 37, 91, 159, 195, 1, 77, 2085, 985, 9999, 5639, 25041, 66393, 0};
static int joe_kuo_d6_initial_number11598[] = {1, 1, 7, 5, 11, 17, 67, 21, 301, 971, 591, 3809, 4795, 12301, 16977, 27495, 98539, 0};
static int joe_kuo_d6_initial_number11599[] = {1, 3, 1, 9, 13, 53, 83, 205, 111, 609, 631, 23, 1781, 15401, 1563, 34367, 40345, 0};
static int joe_kuo_d6_initial_number11600[] = {1, 3, 7, 1, 31, 23, 101, 47, 55, 905, 953, 733, 5173, 5937, 17703, 31077, 49707, 0};
static int joe_kuo_d6_initial_number11601[] = {1, 3, 5, 3, 5, 3, 127, 171, 511, 289, 685, 1157, 6521, 3301, 3017, 58857, 55289, 0};
static int joe_kuo_d6_initial_number11602[] = {1, 1, 5, 1, 1, 29, 59, 7, 423, 83, 797, 2633, 2015, 1657, 7575, 39819, 181, 0};
static int joe_kuo_d6_initial_number11603[] = {1, 3, 5, 15, 25, 27, 39, 99, 83, 381, 401, 1033, 867, 15645, 28643, 34917, 53215, 0};
static int joe_kuo_d6_initial_number11604[] = {1, 3, 5, 15, 17, 1, 67, 63, 355, 841, 681, 2807, 531, 15295, 7859, 64031, 121519, 0};
static int joe_kuo_d6_initial_number11605[] = {1, 3, 1, 5, 21, 57, 63, 247, 467, 101, 129, 2627, 4763, 479, 11145, 8861, 69803, 0};
static int joe_kuo_d6_initial_number11606[] = {1, 3, 1, 15, 13, 13, 77, 39, 297, 401, 1653, 659, 3909, 13179, 10477, 45967, 1665, 0};
static int joe_kuo_d6_initial_number11607[] = {1, 3, 7, 5, 29, 17, 35, 157, 309, 747, 1717, 1279, 6103, 3509, 17499, 22989, 43157, 0};
static int joe_kuo_d6_initial_number11608[] = {1, 1, 1, 7, 11, 51, 55, 119, 145, 505, 179, 3979, 1237, 12801, 15921, 13561, 69161, 0};
static int joe_kuo_d6_initial_number11609[] = {1, 1, 5, 7, 13, 9, 73, 203, 247, 257, 1607, 1183, 6237, 12327, 5059, 51645, 88781, 0};
static int joe_kuo_d6_initial_number11610[] = {1, 3, 5, 9, 1, 9, 27, 59, 235, 81, 689, 2457, 893, 6107, 27643, 40145, 2329, 0};
static int joe_kuo_d6_initial_number11611[] = {1, 1, 1, 11, 11, 19, 65, 63, 27, 513, 1473, 2955, 8037, 4991, 22035, 41965, 82589, 0};
static int joe_kuo_d6_initial_number11612[] = {1, 3, 1, 1, 9, 53, 97, 95, 247, 379, 259, 2789, 1433, 15299, 18309, 51813, 63271, 0};
static int joe_kuo_d6_initial_number11613[] = {1, 1, 5, 1, 11, 41, 69, 193, 391, 27, 1511, 1575, 1161, 14741, 25193, 31149, 79573, 0};
static int joe_kuo_d6_initial_number11614[] = {1, 3, 7, 15, 19, 31, 101, 9, 111, 427, 531, 1335, 767, 15075, 28373, 54015, 108021, 0};
static int joe_kuo_d6_initial_number11615[] = {1, 3, 1, 3, 29, 17, 83, 163, 179, 703, 2027, 3027, 5267, 16111, 23929, 9653, 38633, 0};
static int joe_kuo_d6_initial_number11616[] = {1, 3, 5, 9, 3, 7, 111, 1, 311, 143, 1563, 2605, 301, 2447, 5009, 63767, 37529, 0};
static int joe_kuo_d6_initial_number11617[] = {1, 3, 5, 5, 23, 23, 97, 11, 475, 741, 1385, 2491, 1717, 14587, 6289, 27651, 21873, 0};
static int joe_kuo_d6_initial_number11618[] = {1, 1, 5, 1, 31, 31, 119, 93, 209, 861, 1591, 1233, 3469, 9799, 5969, 35965, 110841, 0};
static int joe_kuo_d6_initial_number11619[] = {1, 1, 5, 13, 19, 31, 69, 107, 423, 651, 757, 665, 1297, 9985, 14983, 3153, 26425, 0};
static int joe_kuo_d6_initial_number11620[] = {1, 1, 5, 3, 23, 5, 89, 77, 461, 799, 683, 2885, 845, 12847, 26721, 13145, 88689, 0};
static int joe_kuo_d6_initial_number11621[] = {1, 1, 3, 3, 19, 3, 41, 71, 247, 293, 1047, 2349, 6815, 2413, 13683, 51421, 110737, 0};
static int joe_kuo_d6_initial_number11622[] = {1, 3, 3, 9, 19, 51, 91, 193, 447, 305, 751, 1757, 1547, 12683, 4645, 39767, 6433, 0};
static int joe_kuo_d6_initial_number11623[] = {1, 1, 7, 1, 11, 51, 83, 175, 461, 259, 1337, 175, 877, 15895, 22487, 8079, 71291, 0};
static int joe_kuo_d6_initial_number11624[] = {1, 1, 1, 11, 13, 23, 19, 69, 285, 629, 563, 2433, 815, 4851, 10617, 59949, 59119, 0};
static int joe_kuo_d6_initial_number11625[] = {1, 3, 5, 5, 19, 49, 47, 27, 343, 579, 197, 35, 7051, 2441, 30091, 9645, 101899, 0};
static int joe_kuo_d6_initial_number11626[] = {1, 1, 3, 3, 21, 25, 125, 215, 159, 259, 1915, 2193, 4213, 16157, 8665, 10967, 112793, 0};
static int joe_kuo_d6_initial_number11627[] = {1, 1, 5, 11, 29, 11, 53, 45, 121, 533, 257, 1749, 6311, 7715, 12037, 12003, 38987, 0};
static int joe_kuo_d6_initial_number11628[] = {1, 3, 1, 11, 25, 31, 93, 191, 231, 801, 361, 1275, 5031, 7927, 26333, 39795, 45875, 0};
static int joe_kuo_d6_initial_number11629[] = {1, 1, 5, 1, 7, 37, 117, 35, 257, 225, 1769, 1805, 1593, 1507, 27741, 31561, 52107, 0};
static int joe_kuo_d6_initial_number11630[] = {1, 1, 3, 3, 27, 23, 55, 5, 137, 677, 459, 2821, 1331, 5845, 17751, 17557, 60495, 0};
static int joe_kuo_d6_initial_number11631[] = {1, 1, 7, 7, 5, 47, 85, 17, 287, 757, 2013, 2233, 2975, 13769, 23199, 32117, 84429, 0};
static int joe_kuo_d6_initial_number11632[] = {1, 3, 3, 11, 1, 15, 39, 133, 79, 915, 147, 1489, 2319, 13715, 31317, 46785, 64147, 0};
static int joe_kuo_d6_initial_number11633[] = {1, 1, 3, 11, 1, 25, 83, 69, 395, 537, 895, 565, 2781, 12685, 7831, 36369, 27871, 0};
static int joe_kuo_d6_initial_number11634[] = {1, 1, 1, 1, 13, 17, 59, 179, 509, 979, 315, 3495, 1773, 16375, 27873, 18065, 20285, 0};
static int joe_kuo_d6_initial_number11635[] = {1, 1, 5, 1, 27, 31, 39, 251, 121, 899, 751, 1603, 7501, 425, 25791, 35407, 110405, 0};
static int joe_kuo_d6_initial_number11636[] = {1, 1, 7, 11, 11, 3, 107, 247, 79, 349, 405, 3469, 2201, 8007, 22891, 7901, 11413, 0};
static int joe_kuo_d6_initial_number11637[] = {1, 1, 1, 11, 15, 55, 121, 151, 127, 239, 115, 611, 6191, 15435, 19831, 64745, 110473, 0};
static int joe_kuo_d6_initial_number11638[] = {1, 1, 7, 1, 21, 25, 57, 11, 31, 823, 1855, 2337, 7655, 10845, 22167, 36977, 94265, 0};
static int joe_kuo_d6_initial_number11639[] = {1, 3, 5, 1, 31, 11, 117, 97, 341, 953, 1499, 2487, 559, 8609, 6321, 20669, 28945, 0};
static int joe_kuo_d6_initial_number11640[] = {1, 3, 7, 1, 5, 27, 15, 161, 83, 139, 75, 3645, 5227, 16199, 1833, 21767, 67579, 0};
static int joe_kuo_d6_initial_number11641[] = {1, 1, 7, 5, 31, 35, 75, 115, 451, 773, 1987, 1069, 651, 961, 16317, 18391, 56519, 0};
static int joe_kuo_d6_initial_number11642[] = {1, 1, 1, 1, 31, 11, 23, 255, 215, 251, 867, 2381, 2351, 13189, 17705, 33569, 102361, 0};
static int joe_kuo_d6_initial_number11643[] = {1, 3, 7, 1, 17, 49, 49, 125, 445, 947, 1985, 2113, 3025, 6277, 1981, 33329, 99413, 0};
static int joe_kuo_d6_initial_number11644[] = {1, 3, 3, 3, 27, 7, 59, 109, 37, 777, 1359, 2157, 3185, 7317, 30887, 10499, 126563, 0};
static int joe_kuo_d6_initial_number11645[] = {1, 3, 3, 9, 27, 5, 99, 167, 457, 363, 2031, 1805, 4661, 8695, 4667, 61129, 81143, 0};
static int joe_kuo_d6_initial_number11646[] = {1, 1, 5, 13, 5, 47, 95, 249, 289, 631, 1739, 2947, 7169, 13019, 10429, 16197, 11539, 0};
static int joe_kuo_d6_initial_number11647[] = {1, 3, 7, 15, 27, 45, 93, 131, 269, 835, 399, 1133, 6509, 1279, 3635, 17977, 38667, 0};
static int joe_kuo_d6_initial_number11648[] = {1, 1, 5, 3, 17, 51, 1, 77, 105, 237, 995, 2643, 6921, 6707, 30129, 1543, 94501, 0};
static int joe_kuo_d6_initial_number11649[] = {1, 1, 1, 7, 29, 1, 117, 33, 141, 805, 1553, 3943, 45, 8911, 24191, 45191, 36525, 0};
static int joe_kuo_d6_initial_number11650[] = {1, 1, 7, 7, 31, 21, 97, 29, 179, 345, 1059, 701, 7709, 15831, 22923, 57233, 58961, 0};
static int joe_kuo_d6_initial_number11651[] = {1, 1, 3, 15, 15, 5, 85, 227, 13, 351, 1167, 3283, 6833, 565, 21019, 53249, 4639, 0};
static int joe_kuo_d6_initial_number11652[] = {1, 3, 3, 5, 27, 1, 5, 89, 101, 295, 481, 2397, 1459, 3729, 3703, 25109, 69237, 0};
static int joe_kuo_d6_initial_number11653[] = {1, 3, 7, 13, 31, 37, 69, 147, 505, 487, 1701, 1145, 2061, 10067, 18269, 13049, 92091, 0};
static int joe_kuo_d6_initial_number11654[] = {1, 3, 3, 1, 29, 39, 33, 199, 499, 377, 1081, 3787, 4843, 16287, 23397, 19083, 91381, 0};
static int joe_kuo_d6_initial_number11655[] = {1, 1, 1, 13, 21, 61, 121, 251, 511, 615, 625, 2245, 5951, 16165, 2155, 37301, 68319, 0};
static int joe_kuo_d6_initial_number11656[] = {1, 1, 1, 15, 19, 35, 57, 99, 1, 97, 1177, 3109, 7213, 5447, 25251, 24803, 107449, 0};
static int joe_kuo_d6_initial_number11657[] = {1, 3, 1, 11, 11, 59, 95, 135, 329, 931, 843, 2847, 463, 10725, 3933, 32325, 44545, 0};
static int joe_kuo_d6_initial_number11658[] = {1, 1, 7, 13, 13, 57, 29, 175, 11, 701, 231, 2907, 5555, 16159, 1249, 38049, 40115, 0};
static int joe_kuo_d6_initial_number11659[] = {1, 1, 5, 15, 23, 37, 47, 221, 465, 631, 57, 1189, 2083, 6561, 10725, 8015, 21231, 0};
static int joe_kuo_d6_initial_number11660[] = {1, 3, 7, 5, 9, 25, 31, 47, 139, 639, 999, 2909, 39, 16227, 16967, 30555, 125541, 0};
static int joe_kuo_d6_initial_number11661[] = {1, 3, 3, 9, 5, 3, 9, 9, 43, 999, 159, 3063, 3661, 7089, 28929, 55305, 105521, 0};
static int joe_kuo_d6_initial_number11662[] = {1, 3, 1, 11, 17, 7, 3, 57, 457, 753, 135, 3721, 1111, 7267, 12603, 50511, 85433, 0};
static int joe_kuo_d6_initial_number11663[] = {1, 3, 5, 1, 27, 3, 107, 187, 247, 891, 1311, 423, 1767, 14769, 22119, 36225, 94267, 0};
static int joe_kuo_d6_initial_number11664[] = {1, 3, 5, 15, 1, 13, 65, 35, 435, 557, 1755, 1343, 2647, 179, 7781, 62903, 18741, 0};
static int joe_kuo_d6_initial_number11665[] = {1, 1, 7, 15, 29, 57, 63, 227, 407, 163, 1207, 2717, 2731, 1737, 6379, 14937, 46683, 0};
static int joe_kuo_d6_initial_number11666[] = {1, 1, 1, 9, 25, 35, 93, 1, 77, 677, 875, 3787, 3075, 14033, 23017, 3487, 14999, 0};
static int joe_kuo_d6_initial_number11667[] = {1, 3, 3, 9, 3, 45, 115, 61, 437, 823, 1401, 459, 301, 5519, 31003, 64499, 1757, 0};
static int joe_kuo_d6_initial_number11668[] = {1, 3, 1, 11, 23, 37, 69, 215, 197, 961, 1501, 2953, 3679, 6775, 24679, 44215, 52357, 0};
static int joe_kuo_d6_initial_number11669[] = {1, 3, 1, 15, 29, 23, 1, 133, 451, 677, 687, 1269, 5987, 11975, 11929, 63691, 48683, 0};
static int joe_kuo_d6_initial_number11670[] = {1, 1, 1, 7, 13, 31, 13, 71, 355, 345, 1193, 3421, 7601, 7413, 6719, 28681, 97605, 0};
static int joe_kuo_d6_initial_number11671[] = {1, 1, 5, 13, 23, 3, 15, 253, 109, 17, 341, 471, 1131, 14901, 31783, 41369, 64139, 0};
static int joe_kuo_d6_initial_number11672[] = {1, 1, 3, 1, 25, 25, 85, 157, 443, 83, 269, 3789, 7977, 7783, 28433, 30563, 82805, 0};
static int joe_kuo_d6_initial_number11673[] = {1, 1, 7, 5, 3, 11, 83, 63, 253, 349, 217, 2733, 4183, 2759, 7617, 41749, 14015, 0};
static int joe_kuo_d6_initial_number11674[] = {1, 1, 5, 7, 7, 7, 91, 201, 449, 247, 889, 3829, 3529, 14253, 24091, 33521, 6049, 0};
static int joe_kuo_d6_initial_number11675[] = {1, 1, 3, 7, 25, 7, 123, 161, 227, 965, 511, 619, 4359, 11833, 12859, 26091, 3867, 0};
static int joe_kuo_d6_initial_number11676[] = {1, 1, 7, 9, 5, 41, 71, 111, 95, 261, 1809, 3835, 7625, 12085, 28885, 64829, 48981, 0};
static int joe_kuo_d6_initial_number11677[] = {1, 1, 5, 3, 13, 55, 57, 79, 457, 785, 653, 1429, 3879, 13559, 3953, 18205, 5777, 0};
static int joe_kuo_d6_initial_number11678[] = {1, 3, 5, 9, 23, 25, 107, 255, 151, 191, 119, 3367, 1081, 12691, 3575, 38171, 42573, 0};
static int joe_kuo_d6_initial_number11679[] = {1, 1, 7, 15, 3, 23, 115, 233, 265, 187, 1961, 1303, 5101, 1035, 6803, 14557, 4527, 0};
static int joe_kuo_d6_initial_number11680[] = {1, 1, 3, 11, 19, 37, 45, 167, 17, 793, 1361, 3571, 5889, 14421, 20453, 5093, 59927, 0};
static int joe_kuo_d6_initial_number11681[] = {1, 1, 7, 15, 3, 53, 1, 11, 159, 389, 171, 2351, 7189, 3109, 1541, 53595, 24247, 0};
static int joe_kuo_d6_initial_number11682[] = {1, 1, 7, 1, 7, 43, 75, 175, 253, 687, 1811, 3277, 447, 8711, 14281, 53265, 7379, 0};
static int joe_kuo_d6_initial_number11683[] = {1, 1, 5, 3, 21, 45, 113, 25, 309, 31, 1765, 305, 1423, 115, 26421, 50267, 122115, 0};
static int joe_kuo_d6_initial_number11684[] = {1, 3, 5, 13, 15, 47, 17, 17, 445, 775, 243, 3959, 7263, 9375, 12017, 57399, 58203, 0};
static int joe_kuo_d6_initial_number11685[] = {1, 3, 3, 1, 31, 37, 37, 213, 125, 929, 243, 1011, 2841, 4499, 16961, 12639, 23381, 0};
static int joe_kuo_d6_initial_number11686[] = {1, 3, 1, 3, 7, 53, 31, 165, 311, 239, 731, 1759, 1769, 203, 23201, 20267, 33381, 0};
static int joe_kuo_d6_initial_number11687[] = {1, 3, 3, 11, 1, 1, 73, 57, 497, 693, 693, 861, 5587, 16307, 8559, 28785, 91147, 0};
static int joe_kuo_d6_initial_number11688[] = {1, 3, 1, 3, 11, 61, 11, 241, 473, 479, 1831, 1771, 25, 10217, 32683, 40165, 98433, 0};
static int joe_kuo_d6_initial_number11689[] = {1, 1, 5, 3, 17, 51, 39, 27, 189, 631, 689, 2849, 1849, 9143, 19263, 32729, 23031, 0};
static int joe_kuo_d6_initial_number11690[] = {1, 1, 5, 9, 15, 39, 103, 83, 485, 689, 1561, 55, 5219, 12069, 32225, 7781, 114299, 0};
static int joe_kuo_d6_initial_number11691[] = {1, 1, 1, 1, 31, 49, 71, 145, 485, 907, 1551, 3931, 4081, 2159, 24747, 6953, 15887, 0};
static int joe_kuo_d6_initial_number11692[] = {1, 1, 3, 7, 27, 61, 57, 153, 15, 881, 271, 267, 5827, 7625, 18179, 3769, 42211, 0};
static int joe_kuo_d6_initial_number11693[] = {1, 3, 1, 3, 21, 49, 65, 177, 341, 851, 1825, 3347, 113, 8077, 1117, 9463, 115821, 0};
static int joe_kuo_d6_initial_number11694[] = {1, 3, 5, 11, 27, 17, 75, 35, 475, 389, 313, 2187, 7005, 911, 21921, 10979, 13705, 0};
static int joe_kuo_d6_initial_number11695[] = {1, 1, 5, 9, 1, 49, 15, 21, 163, 355, 193, 3473, 4451, 5325, 28343, 251, 125963, 0};
static int joe_kuo_d6_initial_number11696[] = {1, 3, 7, 1, 9, 63, 9, 129, 453, 887, 1841, 597, 1989, 14755, 7847, 7581, 251, 0};
static int joe_kuo_d6_initial_number11697[] = {1, 3, 7, 13, 31, 15, 123, 3, 427, 101, 1039, 1355, 3653, 2871, 28937, 31243, 108827, 0};
static int joe_kuo_d6_initial_number11698[] = {1, 3, 7, 13, 3, 17, 71, 243, 145, 747, 1933, 1105, 455, 6355, 20321, 60075, 31575, 0};
static int joe_kuo_d6_initial_number11699[] = {1, 3, 5, 5, 11, 25, 95, 85, 461, 459, 313, 173, 1413, 15761, 31481, 63793, 29047, 0};
static int joe_kuo_d6_initial_number11700[] = {1, 3, 7, 7, 3, 5, 3, 95, 107, 995, 1203, 2965, 2419, 5325, 17667, 40205, 91059, 0};
static int joe_kuo_d6_initial_number11701[] = {1, 1, 3, 9, 25, 3, 113, 79, 359, 69, 93, 1539, 483, 12701, 19075, 35021, 17929, 0};
static int joe_kuo_d6_initial_number11702[] = {1, 3, 5, 1, 31, 35, 67, 97, 105, 381, 973, 1355, 3901, 3847, 12343, 64309, 29835, 0};
static int joe_kuo_d6_initial_number11703[] = {1, 3, 7, 1, 11, 33, 117, 237, 449, 101, 317, 23, 5157, 8187, 28839, 29465, 97485, 0};
static int joe_kuo_d6_initial_number11704[] = {1, 3, 5, 5, 1, 49, 93, 71, 89, 607, 1143, 3271, 5825, 8529, 18479, 23859, 40571, 0};
static int joe_kuo_d6_initial_number11705[] = {1, 3, 1, 3, 13, 35, 79, 9, 315, 943, 1199, 1521, 2023, 11745, 8273, 27643, 89545, 0};
static int joe_kuo_d6_initial_number11706[] = {1, 3, 5, 1, 21, 3, 15, 111, 19, 895, 1539, 3331, 6741, 9087, 5231, 13435, 60645, 0};
static int joe_kuo_d6_initial_number11707[] = {1, 3, 1, 9, 25, 9, 109, 253, 263, 425, 915, 1955, 659, 6249, 11803, 34523, 22645, 0};
static int joe_kuo_d6_initial_number11708[] = {1, 1, 1, 9, 15, 23, 13, 79, 369, 689, 565, 743, 3897, 8837, 13753, 17213, 86801, 0};
static int joe_kuo_d6_initial_number11709[] = {1, 1, 1, 5, 31, 27, 111, 231, 25, 617, 897, 1325, 4885, 5731, 2027, 34639, 67863, 0};
static int joe_kuo_d6_initial_number11710[] = {1, 1, 3, 13, 1, 9, 29, 23, 95, 113, 1035, 2729, 6555, 335, 24795, 35387, 31301, 0};
static int joe_kuo_d6_initial_number11711[] = {1, 1, 1, 7, 3, 53, 91, 143, 167, 773, 207, 31, 4993, 7953, 26997, 40031, 113939, 0};
static int joe_kuo_d6_initial_number11712[] = {1, 1, 3, 5, 17, 43, 121, 231, 411, 575, 1621, 3079, 535, 3313, 19443, 58271, 54207, 0};
static int joe_kuo_d6_initial_number11713[] = {1, 1, 1, 7, 11, 41, 61, 81, 97, 91, 1987, 981, 3745, 819, 23785, 48331, 63761, 0};
static int joe_kuo_d6_initial_number11714[] = {1, 1, 5, 13, 7, 29, 25, 73, 355, 669, 241, 65, 2249, 5551, 5217, 58573, 34049, 0};
static int joe_kuo_d6_initial_number11715[] = {1, 1, 7, 11, 1, 45, 125, 107, 127, 639, 1989, 2727, 2103, 8985, 30249, 40037, 40931, 0};
static int joe_kuo_d6_initial_number11716[] = {1, 1, 5, 13, 21, 59, 99, 131, 359, 615, 665, 577, 2559, 3555, 11355, 26213, 76427, 0};
static int joe_kuo_d6_initial_number11717[] = {1, 3, 3, 1, 19, 9, 85, 111, 381, 661, 561, 3419, 1355, 8473, 329, 4989, 9087, 0};
static int joe_kuo_d6_initial_number11718[] = {1, 1, 7, 5, 11, 23, 33, 95, 343, 9, 1579, 2663, 6245, 267, 7187, 25381, 103181, 0};
static int joe_kuo_d6_initial_number11719[] = {1, 1, 7, 11, 23, 7, 113, 49, 89, 587, 1221, 409, 873, 15531, 2721, 44519, 25349, 0};
static int joe_kuo_d6_initial_number11720[] = {1, 3, 3, 1, 17, 17, 45, 239, 453, 639, 1433, 2829, 6009, 12447, 9393, 59979, 93343, 0};
static int joe_kuo_d6_initial_number11721[] = {1, 1, 3, 15, 19, 61, 125, 101, 219, 327, 1551, 1623, 951, 8379, 21009, 64089, 21891, 0};
static int joe_kuo_d6_initial_number11722[] = {1, 1, 5, 7, 23, 5, 111, 43, 57, 71, 407, 4027, 4869, 12033, 19941, 51969, 120115, 0};
static int joe_kuo_d6_initial_number11723[] = {1, 3, 7, 15, 17, 49, 31, 145, 185, 169, 1559, 4011, 5293, 7559, 23487, 12213, 2757, 0};
static int joe_kuo_d6_initial_number11724[] = {1, 3, 7, 3, 3, 59, 119, 3, 509, 539, 1623, 539, 1405, 3913, 213, 30293, 68497, 0};
static int joe_kuo_d6_initial_number11725[] = {1, 1, 1, 9, 15, 43, 67, 171, 397, 233, 379, 1681, 6877, 9169, 19667, 1971, 115347, 0};
static int joe_kuo_d6_initial_number11726[] = {1, 1, 5, 15, 1, 45, 25, 133, 99, 181, 1825, 3485, 5633, 4629, 30181, 15761, 87161, 0};
static int joe_kuo_d6_initial_number11727[] = {1, 1, 5, 3, 5, 55, 97, 117, 303, 591, 733, 3631, 4305, 169, 5361, 64491, 71793, 0};
static int joe_kuo_d6_initial_number11728[] = {1, 1, 5, 11, 19, 9, 5, 147, 223, 51, 1763, 3899, 7393, 8107, 19619, 60509, 61427, 0};
static int joe_kuo_d6_initial_number11729[] = {1, 1, 1, 15, 15, 3, 103, 15, 423, 649, 613, 1387, 6229, 4147, 17517, 225, 35697, 0};
static int joe_kuo_d6_initial_number11730[] = {1, 3, 1, 3, 21, 57, 77, 193, 203, 649, 631, 3753, 4259, 3983, 27707, 33623, 83857, 0};
static int joe_kuo_d6_initial_number11731[] = {1, 3, 3, 5, 11, 37, 95, 201, 83, 643, 1639, 153, 7683, 15249, 23859, 27021, 43321, 0};
static int joe_kuo_d6_initial_number11732[] = {1, 3, 5, 13, 23, 31, 69, 215, 303, 433, 1325, 1013, 2903, 12659, 3813, 34497, 59651, 0};
static int joe_kuo_d6_initial_number11733[] = {1, 3, 1, 9, 15, 39, 113, 253, 173, 393, 19, 2343, 2939, 8871, 29741, 2141, 121675, 0};
static int joe_kuo_d6_initial_number11734[] = {1, 1, 7, 9, 7, 9, 91, 211, 169, 299, 507, 2849, 1321, 15397, 23949, 32387, 108691, 0};
static int joe_kuo_d6_initial_number11735[] = {1, 1, 7, 13, 1, 21, 119, 127, 229, 253, 39, 323, 1831, 121, 17385, 45511, 43743, 0};
static int joe_kuo_d6_initial_number11736[] = {1, 1, 1, 15, 25, 25, 97, 209, 375, 945, 1343, 2205, 1701, 13085, 25547, 55555, 129395, 0};
static int joe_kuo_d6_initial_number11737[] = {1, 1, 1, 5, 31, 25, 91, 255, 163, 169, 703, 1607, 4731, 7413, 10013, 10925, 109151, 0};
static int joe_kuo_d6_initial_number11738[] = {1, 3, 3, 9, 15, 47, 71, 219, 9, 37, 231, 3227, 3447, 8129, 23421, 30113, 120725, 0};
static int joe_kuo_d6_initial_number11739[] = {1, 3, 3, 11, 15, 47, 93, 203, 299, 865, 151, 3999, 1245, 8487, 13355, 27373, 93583, 0};
static int joe_kuo_d6_initial_number11740[] = {1, 3, 7, 5, 13, 7, 97, 81, 271, 95, 513, 365, 5039, 403, 5285, 29475, 129347, 0};
static int joe_kuo_d6_initial_number11741[] = {1, 1, 7, 7, 9, 27, 25, 207, 161, 785, 1453, 3031, 763, 2313, 29347, 61457, 52561, 0};
static int joe_kuo_d6_initial_number11742[] = {1, 3, 3, 11, 25, 25, 39, 61, 165, 803, 1435, 3643, 299, 13751, 24239, 53955, 94889, 0};
static int joe_kuo_d6_initial_number11743[] = {1, 3, 5, 9, 9, 13, 63, 221, 123, 947, 905, 913, 953, 7429, 25409, 43017, 2217, 0};
static int joe_kuo_d6_initial_number11744[] = {1, 1, 3, 3, 31, 19, 107, 211, 503, 675, 1921, 3027, 1273, 5699, 20683, 55605, 119803, 0};
static int joe_kuo_d6_initial_number11745[] = {1, 1, 3, 3, 9, 17, 115, 183, 325, 259, 2013, 1505, 6999, 11573, 5315, 18731, 9405, 0};
static int joe_kuo_d6_initial_number11746[] = {1, 3, 1, 5, 29, 37, 81, 145, 5, 851, 1803, 2011, 6655, 3601, 11325, 17137, 68501, 0};
static int joe_kuo_d6_initial_number11747[] = {1, 3, 5, 1, 25, 51, 111, 19, 75, 765, 1843, 139, 7253, 12967, 13387, 48631, 124881, 0};
static int joe_kuo_d6_initial_number11748[] = {1, 3, 3, 7, 15, 29, 7, 231, 13, 901, 1913, 3817, 3993, 3049, 32367, 4201, 90837, 0};
static int joe_kuo_d6_initial_number11749[] = {1, 3, 1, 11, 27, 5, 109, 57, 81, 147, 1141, 2153, 5255, 6367, 189, 5959, 88843, 0};
static int joe_kuo_d6_initial_number11750[] = {1, 3, 5, 5, 19, 35, 17, 149, 407, 889, 1583, 1727, 465, 10785, 6043, 21785, 80935, 0};
static int joe_kuo_d6_initial_number11751[] = {1, 1, 3, 7, 15, 21, 105, 249, 427, 491, 923, 3189, 8103, 3875, 18347, 35799, 36703, 0};
static int joe_kuo_d6_initial_number11752[] = {1, 1, 3, 15, 3, 45, 93, 197, 265, 309, 1909, 1635, 1743, 9499, 21897, 36889, 67449, 0};
static int joe_kuo_d6_initial_number11753[] = {1, 3, 1, 11, 15, 57, 31, 231, 363, 879, 1377, 1941, 6969, 10721, 21933, 33419, 102939, 0};
static int joe_kuo_d6_initial_number11754[] = {1, 1, 3, 9, 3, 57, 49, 51, 71, 991, 885, 1367, 2937, 9301, 29893, 9867, 113711, 0};
static int joe_kuo_d6_initial_number11755[] = {1, 3, 7, 7, 11, 59, 123, 247, 51, 659, 1323, 3371, 3417, 12295, 2021, 62753, 28059, 0};
static int joe_kuo_d6_initial_number11756[] = {1, 1, 7, 11, 3, 57, 53, 1, 203, 287, 219, 3531, 1365, 6235, 30187, 4479, 29567, 0};
static int joe_kuo_d6_initial_number11757[] = {1, 1, 7, 9, 5, 41, 41, 39, 137, 495, 149, 2421, 7365, 11381, 25403, 16063, 47491, 0};
static int joe_kuo_d6_initial_number11758[] = {1, 1, 5, 13, 25, 25, 47, 25, 213, 661, 1345, 883, 7573, 3291, 21303, 8033, 102639, 0};
static int joe_kuo_d6_initial_number11759[] = {1, 1, 5, 3, 9, 49, 75, 221, 455, 139, 1533, 3155, 1023, 7249, 10129, 63165, 1713, 0};
static int joe_kuo_d6_initial_number11760[] = {1, 3, 5, 11, 17, 1, 23, 241, 83, 359, 1243, 2791, 2975, 6271, 19035, 55057, 7625, 0};
static int joe_kuo_d6_initial_number11761[] = {1, 3, 1, 9, 17, 61, 109, 255, 447, 939, 899, 551, 7049, 4247, 17333, 43369, 30105, 0};
static int joe_kuo_d6_initial_number11762[] = {1, 1, 3, 5, 3, 31, 79, 39, 225, 605, 1893, 3523, 5391, 6879, 18619, 2339, 108295, 0};
static int joe_kuo_d6_initial_number11763[] = {1, 1, 5, 1, 29, 15, 123, 39, 239, 57, 843, 2799, 4755, 4993, 23383, 45559, 48359, 0};
static int joe_kuo_d6_initial_number11764[] = {1, 1, 5, 5, 7, 5, 99, 1, 351, 213, 1061, 721, 343, 16071, 29641, 55607, 76727, 0};
static int joe_kuo_d6_initial_number11765[] = {1, 3, 1, 7, 9, 9, 15, 25, 87, 595, 71, 3769, 2583, 10105, 28639, 48899, 49753, 0};
static int joe_kuo_d6_initial_number11766[] = {1, 3, 5, 3, 31, 29, 99, 77, 323, 615, 581, 1725, 2471, 16263, 4903, 205, 55441, 0};
static int joe_kuo_d6_initial_number11767[] = {1, 1, 5, 11, 17, 53, 47, 53, 125, 717, 867, 1251, 4009, 13981, 10165, 4769, 117431, 0};
static int joe_kuo_d6_initial_number11768[] = {1, 1, 3, 7, 7, 19, 119, 27, 163, 11, 693, 3197, 3981, 12591, 26017, 62113, 48391, 0};
static int joe_kuo_d6_initial_number11769[] = {1, 1, 3, 15, 13, 17, 13, 81, 19, 821, 677, 233, 5227, 14855, 18269, 18895, 90041, 0};
static int joe_kuo_d6_initial_number11770[] = {1, 1, 3, 9, 27, 61, 125, 221, 415, 183, 1137, 1879, 3451, 3599, 27317, 53449, 35499, 0};
static int joe_kuo_d6_initial_number11771[] = {1, 3, 3, 15, 3, 27, 53, 93, 17, 405, 373, 2531, 3121, 2299, 1593, 34623, 102389, 0};
static int joe_kuo_d6_initial_number11772[] = {1, 1, 1, 11, 23, 19, 85, 87, 209, 17, 1805, 4067, 7401, 6097, 5865, 61383, 42971, 0};
static int joe_kuo_d6_initial_number11773[] = {1, 1, 7, 9, 29, 43, 99, 125, 385, 347, 97, 1121, 1533, 10545, 17383, 48649, 78443, 0};
static int joe_kuo_d6_initial_number11774[] = {1, 3, 3, 13, 7, 9, 95, 105, 463, 911, 357, 423, 5701, 2389, 16307, 17817, 108775, 0};
static int joe_kuo_d6_initial_number11775[] = {1, 3, 5, 11, 21, 21, 79, 53, 511, 995, 1709, 1715, 6031, 10507, 10735, 48817, 28569, 0};
static int joe_kuo_d6_initial_number11776[] = {1, 3, 5, 7, 31, 49, 43, 109, 267, 981, 1529, 3611, 3379, 1295, 27489, 46721, 58423, 0};
static int joe_kuo_d6_initial_number11777[] = {1, 3, 3, 11, 3, 31, 21, 3, 79, 31, 1885, 3029, 6337, 15457, 8995, 9955, 95019, 0};
static int joe_kuo_d6_initial_number11778[] = {1, 1, 7, 13, 9, 9, 77, 73, 111, 769, 813, 1599, 5925, 1063, 12151, 54125, 67723, 0};
static int joe_kuo_d6_initial_number11779[] = {1, 1, 1, 7, 13, 5, 43, 201, 379, 199, 769, 3227, 3995, 1543, 21903, 10651, 122007, 0};
static int joe_kuo_d6_initial_number11780[] = {1, 3, 7, 13, 11, 53, 83, 201, 231, 137, 617, 2395, 2513, 6659, 9387, 15653, 96927, 0};
static int joe_kuo_d6_initial_number11781[] = {1, 3, 1, 13, 29, 19, 97, 57, 231, 985, 805, 1169, 831, 15867, 20195, 53533, 99735, 0};
static int joe_kuo_d6_initial_number11782[] = {1, 1, 3, 13, 19, 15, 19, 39, 99, 31, 421, 755, 7439, 4927, 19893, 15449, 47937, 0};
static int joe_kuo_d6_initial_number11783[] = {1, 3, 3, 9, 1, 17, 71, 37, 289, 537, 69, 3687, 6537, 12295, 28403, 6627, 72991, 0};
static int joe_kuo_d6_initial_number11784[] = {1, 3, 3, 15, 31, 53, 21, 223, 451, 309, 895, 3923, 3149, 5167, 1979, 31425, 53485, 0};
static int joe_kuo_d6_initial_number11785[] = {1, 3, 1, 1, 29, 7, 5, 197, 445, 455, 185, 633, 897, 4561, 28833, 39477, 46665, 0};
static int joe_kuo_d6_initial_number11786[] = {1, 1, 3, 9, 29, 19, 45, 239, 323, 1005, 101, 2083, 7403, 10401, 987, 32301, 58141, 0};
static int joe_kuo_d6_initial_number11787[] = {1, 3, 3, 5, 31, 17, 7, 141, 245, 301, 1607, 3381, 7517, 6663, 6327, 15321, 19963, 0};
static int joe_kuo_d6_initial_number11788[] = {1, 1, 7, 5, 5, 37, 109, 31, 285, 767, 1689, 2961, 5511, 15415, 32011, 14889, 7237, 0};
static int joe_kuo_d6_initial_number11789[] = {1, 1, 3, 7, 31, 35, 47, 157, 407, 719, 1213, 1241, 2475, 10321, 11547, 52641, 21603, 0};
static int joe_kuo_d6_initial_number11790[] = {1, 1, 1, 7, 5, 45, 35, 137, 403, 321, 1151, 529, 6297, 3059, 27791, 18387, 101431, 0};
static int joe_kuo_d6_initial_number11791[] = {1, 1, 3, 11, 21, 19, 97, 121, 377, 325, 741, 1601, 1115, 6233, 19089, 40491, 53259, 0};
static int joe_kuo_d6_initial_number11792[] = {1, 1, 1, 9, 3, 13, 83, 243, 443, 91, 1455, 1875, 3327, 7245, 12735, 14943, 44163, 0};
static int joe_kuo_d6_initial_number11793[] = {1, 3, 5, 11, 1, 15, 107, 211, 25, 125, 623, 1319, 6133, 12177, 1377, 32547, 110919, 0};
static int joe_kuo_d6_initial_number11794[] = {1, 1, 3, 3, 7, 39, 23, 99, 433, 581, 53, 3421, 733, 12767, 23595, 22957, 88821, 0};
static int joe_kuo_d6_initial_number11795[] = {1, 1, 1, 13, 5, 53, 103, 127, 409, 379, 1155, 3097, 6529, 11685, 22147, 46003, 59771, 0};
static int joe_kuo_d6_initial_number11796[] = {1, 3, 3, 3, 15, 37, 9, 67, 237, 79, 697, 1943, 1021, 3217, 16013, 14727, 105729, 0};
static int joe_kuo_d6_initial_number11797[] = {1, 1, 7, 1, 9, 43, 55, 79, 63, 553, 871, 2881, 6487, 4667, 24263, 41995, 60907, 0};
static int joe_kuo_d6_initial_number11798[] = {1, 1, 7, 7, 23, 31, 55, 23, 451, 593, 85, 43, 965, 12491, 15121, 16129, 90639, 0};
static int joe_kuo_d6_initial_number11799[] = {1, 1, 7, 13, 11, 53, 21, 123, 237, 147, 511, 2105, 5961, 4465, 4015, 19069, 89203, 0};
static int joe_kuo_d6_initial_number11800[] = {1, 3, 5, 1, 1, 39, 59, 239, 391, 91, 923, 85, 1047, 1489, 31119, 58485, 129171, 0};
static int joe_kuo_d6_initial_number11801[] = {1, 3, 5, 13, 3, 21, 35, 205, 219, 795, 901, 2465, 5887, 275, 22003, 29659, 50589, 0};
static int joe_kuo_d6_initial_number11802[] = {1, 3, 1, 5, 1, 35, 127, 147, 159, 791, 1643, 1811, 1199, 3851, 9681, 19845, 127075, 0};
static int joe_kuo_d6_initial_number11803[] = {1, 3, 3, 7, 17, 19, 13, 223, 395, 971, 125, 181, 4455, 13305, 30433, 46161, 122277, 0};
static int joe_kuo_d6_initial_number11804[] = {1, 3, 1, 3, 19, 1, 15, 71, 425, 459, 655, 2251, 5525, 7611, 5819, 1255, 43107, 0};
static int joe_kuo_d6_initial_number11805[] = {1, 1, 5, 15, 3, 9, 83, 191, 439, 663, 399, 2263, 1857, 15421, 2079, 2381, 59193, 0};
static int joe_kuo_d6_initial_number11806[] = {1, 3, 5, 5, 1, 7, 9, 77, 347, 419, 1329, 3173, 7295, 3631, 13435, 3217, 18053, 0};
static int joe_kuo_d6_initial_number11807[] = {1, 3, 3, 7, 29, 39, 35, 71, 119, 745, 603, 2247, 377, 3297, 30983, 27857, 105739, 0};
static int joe_kuo_d6_initial_number11808[] = {1, 1, 5, 13, 9, 59, 57, 239, 247, 921, 1383, 2315, 241, 4435, 24661, 6129, 122727, 0};
static int joe_kuo_d6_initial_number11809[] = {1, 1, 5, 7, 3, 15, 39, 165, 27, 803, 609, 3081, 6009, 12665, 24155, 51647, 3857, 0};
static int joe_kuo_d6_initial_number11810[] = {1, 3, 5, 11, 27, 41, 61, 255, 195, 169, 557, 1739, 4029, 1791, 471, 16321, 49801, 0};
static int joe_kuo_d6_initial_number11811[] = {1, 3, 7, 13, 17, 45, 35, 177, 109, 113, 551, 219, 4065, 303, 15489, 25427, 12349, 0};
static int joe_kuo_d6_initial_number11812[] = {1, 3, 5, 5, 25, 15, 79, 165, 231, 867, 483, 3563, 6611, 11277, 3193, 37455, 127373, 0};
static int joe_kuo_d6_initial_number11813[] = {1, 3, 3, 11, 25, 21, 47, 255, 27, 543, 485, 2675, 5893, 3029, 3857, 50967, 14681, 0};
static int joe_kuo_d6_initial_number11814[] = {1, 3, 7, 11, 3, 23, 81, 135, 77, 227, 417, 1733, 5175, 15295, 15985, 50329, 48641, 0};
static int joe_kuo_d6_initial_number11815[] = {1, 3, 5, 1, 3, 47, 33, 67, 201, 235, 1299, 3703, 1959, 8091, 11115, 10869, 9595, 0};
static int joe_kuo_d6_initial_number11816[] = {1, 3, 7, 13, 1, 45, 61, 49, 471, 923, 1827, 2175, 1433, 3473, 3781, 7923, 121525, 0};
static int joe_kuo_d6_initial_number11817[] = {1, 3, 5, 7, 25, 59, 113, 19, 415, 839, 167, 3549, 7435, 6573, 767, 2751, 18383, 0};
static int joe_kuo_d6_initial_number11818[] = {1, 3, 3, 1, 5, 11, 125, 241, 395, 423, 955, 2551, 963, 8197, 30253, 10473, 28505, 0};
static int joe_kuo_d6_initial_number11819[] = {1, 1, 1, 3, 5, 31, 69, 103, 153, 505, 1507, 2827, 165, 4943, 8343, 54253, 87593, 0};
static int joe_kuo_d6_initial_number11820[] = {1, 3, 3, 1, 7, 37, 27, 75, 251, 623, 965, 1907, 6063, 761, 765, 10103, 43479, 0};
static int joe_kuo_d6_initial_number11821[] = {1, 1, 1, 13, 7, 21, 53, 219, 267, 57, 959, 579, 2951, 13797, 3249, 29895, 47467, 0};
static int joe_kuo_d6_initial_number11822[] = {1, 1, 5, 9, 13, 7, 85, 107, 3, 635, 1235, 1339, 3263, 3895, 25911, 7521, 34149, 0};
static int joe_kuo_d6_initial_number11823[] = {1, 1, 5, 15, 29, 37, 73, 43, 413, 993, 499, 719, 1557, 14397, 11245, 58197, 127901, 0};
static int joe_kuo_d6_initial_number11824[] = {1, 1, 5, 15, 9, 37, 87, 57, 63, 337, 927, 1887, 6407, 11237, 23233, 53567, 120449, 0};
static int joe_kuo_d6_initial_number11825[] = {1, 1, 3, 7, 27, 11, 85, 227, 159, 849, 647, 1977, 4623, 7343, 8089, 4251, 26609, 0};
static int joe_kuo_d6_initial_number11826[] = {1, 1, 5, 11, 11, 3, 105, 191, 189, 627, 367, 3935, 6647, 13069, 26195, 23137, 56427, 0};
static int joe_kuo_d6_initial_number11827[] = {1, 1, 3, 3, 29, 51, 39, 3, 437, 1011, 1061, 1747, 3051, 11165, 8155, 9723, 41035, 0};
static int joe_kuo_d6_initial_number11828[] = {1, 3, 7, 15, 9, 43, 79, 195, 265, 395, 1349, 337, 911, 15767, 3593, 42859, 70181, 0};
static int joe_kuo_d6_initial_number11829[] = {1, 3, 7, 7, 11, 47, 11, 85, 489, 801, 1177, 3861, 3517, 9209, 27505, 12291, 35691, 0};
static int joe_kuo_d6_initial_number11830[] = {1, 1, 3, 9, 15, 61, 71, 123, 287, 419, 1079, 3489, 3519, 12739, 21341, 24323, 33961, 0};
static int joe_kuo_d6_initial_number11831[] = {1, 3, 7, 3, 9, 17, 119, 137, 389, 391, 601, 1875, 2197, 5271, 13289, 43597, 43279, 0};
static int joe_kuo_d6_initial_number11832[] = {1, 3, 7, 15, 29, 35, 41, 171, 183, 701, 1673, 981, 5479, 21, 11353, 64953, 88189, 0};
static int joe_kuo_d6_initial_number11833[] = {1, 3, 3, 13, 15, 35, 35, 81, 297, 245, 475, 393, 5401, 12369, 21129, 65213, 125013, 0};
static int joe_kuo_d6_initial_number11834[] = {1, 1, 7, 13, 15, 57, 25, 143, 389, 111, 1219, 2195, 769, 9005, 10367, 39435, 3631, 0};
static int joe_kuo_d6_initial_number11835[] = {1, 3, 3, 13, 9, 29, 9, 47, 127, 377, 1195, 1221, 5751, 15481, 10537, 29909, 112691, 0};
static int joe_kuo_d6_initial_number11836[] = {1, 1, 3, 5, 17, 47, 29, 1, 299, 651, 1023, 1601, 5917, 3781, 18421, 42393, 51789, 0};
static int joe_kuo_d6_initial_number11837[] = {1, 3, 3, 15, 31, 51, 101, 147, 367, 159, 359, 705, 3773, 8649, 31373, 5733, 58287, 0};
static int joe_kuo_d6_initial_number11838[] = {1, 3, 5, 11, 11, 51, 55, 79, 147, 917, 1945, 1725, 289, 12777, 30099, 3013, 91527, 0};
static int joe_kuo_d6_initial_number11839[] = {1, 1, 7, 13, 1, 51, 33, 27, 169, 573, 117, 2479, 761, 1283, 32723, 13589, 88821, 0};
static int joe_kuo_d6_initial_number11840[] = {1, 1, 1, 3, 23, 13, 33, 207, 137, 391, 1309, 4093, 6889, 827, 9331, 57113, 110193, 0};
static int joe_kuo_d6_initial_number11841[] = {1, 1, 1, 13, 15, 57, 115, 53, 59, 443, 1, 3545, 6923, 6603, 8631, 41703, 8519, 0};
static int joe_kuo_d6_initial_number11842[] = {1, 1, 5, 5, 25, 29, 53, 153, 107, 423, 1829, 2469, 1843, 889, 31727, 20701, 6343, 0};
static int joe_kuo_d6_initial_number11843[] = {1, 1, 7, 13, 11, 41, 7, 219, 77, 663, 329, 2639, 1111, 1293, 16771, 20731, 46973, 0};
static int joe_kuo_d6_initial_number11844[] = {1, 3, 3, 15, 23, 19, 45, 107, 111, 155, 1595, 1821, 471, 6089, 21587, 49259, 85393, 0};
static int joe_kuo_d6_initial_number11845[] = {1, 3, 1, 3, 27, 21, 39, 227, 359, 885, 449, 2615, 3519, 5377, 16017, 57159, 82399, 0};
static int joe_kuo_d6_initial_number11846[] = {1, 3, 3, 15, 31, 33, 77, 33, 87, 821, 701, 2859, 1777, 3007, 16757, 5447, 3557, 0};
static int joe_kuo_d6_initial_number11847[] = {1, 1, 1, 15, 11, 31, 127, 79, 363, 341, 169, 3451, 6351, 6867, 13511, 833, 103151, 0};
static int joe_kuo_d6_initial_number11848[] = {1, 3, 5, 7, 27, 23, 5, 67, 159, 535, 103, 843, 8187, 6891, 19169, 22565, 95255, 0};
static int joe_kuo_d6_initial_number11849[] = {1, 3, 5, 5, 15, 27, 53, 49, 343, 815, 1203, 1031, 6359, 1337, 1629, 47783, 103391, 0};
static int joe_kuo_d6_initial_number11850[] = {1, 3, 1, 1, 13, 19, 51, 185, 45, 549, 619, 2247, 2541, 10421, 31507, 60785, 87139, 0};
static int joe_kuo_d6_initial_number11851[] = {1, 3, 1, 15, 29, 9, 47, 127, 41, 767, 1375, 2183, 7169, 12855, 15021, 377, 69327, 0};
static int joe_kuo_d6_initial_number11852[] = {1, 1, 3, 9, 5, 23, 23, 203, 101, 809, 1155, 2885, 3901, 3081, 1827, 65373, 106133, 0};
static int joe_kuo_d6_initial_number11853[] = {1, 3, 3, 13, 3, 21, 73, 135, 353, 905, 1757, 1361, 3801, 15541, 2261, 17159, 18037, 0};
static int joe_kuo_d6_initial_number11854[] = {1, 1, 7, 7, 27, 23, 57, 33, 225, 407, 1709, 1159, 6353, 13341, 15883, 17339, 50423, 0};
static int joe_kuo_d6_initial_number11855[] = {1, 1, 3, 15, 13, 21, 33, 91, 183, 975, 1623, 3187, 5495, 8947, 7031, 19687, 104483, 0};
static int joe_kuo_d6_initial_number11856[] = {1, 3, 5, 7, 17, 25, 77, 1, 335, 85, 1783, 2617, 4463, 3807, 12883, 24487, 66205, 0};
static int joe_kuo_d6_initial_number11857[] = {1, 1, 3, 15, 23, 37, 83, 93, 211, 757, 903, 2681, 49, 435, 21057, 63635, 36489, 0};
static int joe_kuo_d6_initial_number11858[] = {1, 3, 1, 13, 3, 45, 63, 57, 65, 21, 627, 1467, 51, 15887, 27465, 59227, 108233, 0};
static int joe_kuo_d6_initial_number11859[] = {1, 1, 7, 5, 15, 41, 53, 57, 301, 677, 803, 1675, 6937, 3159, 14281, 22355, 37783, 0};
static int joe_kuo_d6_initial_number11860[] = {1, 1, 5, 13, 15, 43, 39, 245, 191, 875, 1505, 2085, 3903, 185, 24461, 28939, 98771, 0};
static int joe_kuo_d6_initial_number11861[] = {1, 1, 7, 9, 17, 25, 29, 31, 439, 159, 533, 3177, 4155, 403, 23735, 61817, 121909, 0};
static int joe_kuo_d6_initial_number11862[] = {1, 1, 3, 15, 29, 43, 111, 47, 483, 513, 63, 2423, 4979, 5159, 15499, 33391, 51575, 0};
static int joe_kuo_d6_initial_number11863[] = {1, 1, 5, 15, 15, 43, 13, 41, 445, 929, 1365, 2023, 6173, 6067, 30969, 51457, 51179, 0};
static int joe_kuo_d6_initial_number11864[] = {1, 3, 3, 11, 15, 17, 93, 235, 159, 599, 635, 1113, 1017, 7413, 7737, 20051, 79127, 0};
static int joe_kuo_d6_initial_number11865[] = {1, 1, 1, 15, 5, 19, 81, 65, 479, 119, 1831, 2515, 2929, 15395, 31607, 29969, 49935, 0};
static int joe_kuo_d6_initial_number11866[] = {1, 3, 1, 13, 23, 47, 45, 151, 51, 217, 803, 3265, 5907, 14371, 8287, 25659, 27655, 0};
static int joe_kuo_d6_initial_number11867[] = {1, 1, 1, 13, 13, 53, 11, 63, 501, 487, 1683, 1147, 4693, 2761, 19359, 2215, 112393, 0};
static int joe_kuo_d6_initial_number11868[] = {1, 3, 3, 1, 31, 15, 61, 237, 129, 119, 135, 39, 6509, 3753, 16997, 3841, 24521, 0};
static int joe_kuo_d6_initial_number11869[] = {1, 3, 5, 7, 5, 27, 113, 251, 217, 923, 229, 2259, 5241, 6331, 6773, 41929, 89605, 0};
static int joe_kuo_d6_initial_number11870[] = {1, 1, 5, 9, 17, 41, 21, 185, 95, 137, 1151, 195, 913, 531, 15731, 22893, 93521, 0};
static int joe_kuo_d6_initial_number11871[] = {1, 1, 5, 1, 29, 57, 123, 11, 345, 581, 227, 1539, 7527, 8537, 16429, 8437, 18953, 0};
static int joe_kuo_d6_initial_number11872[] = {1, 1, 3, 7, 7, 21, 103, 239, 115, 513, 1287, 3717, 331, 5453, 18943, 17247, 64975, 0};
static int joe_kuo_d6_initial_number11873[] = {1, 3, 7, 11, 21, 37, 79, 83, 93, 155, 1297, 1371, 1109, 6569, 21137, 29237, 24007, 0};
static int joe_kuo_d6_initial_number11874[] = {1, 1, 1, 13, 17, 11, 127, 89, 397, 497, 1017, 721, 2837, 5623, 31745, 52243, 107225, 0};
static int joe_kuo_d6_initial_number11875[] = {1, 1, 7, 9, 15, 43, 29, 215, 449, 233, 313, 2587, 2903, 2735, 4539, 50481, 85279, 0};
static int joe_kuo_d6_initial_number11876[] = {1, 1, 3, 15, 13, 35, 109, 211, 299, 255, 1595, 533, 1801, 13965, 25277, 52347, 13447, 0};
static int joe_kuo_d6_initial_number11877[] = {1, 1, 1, 15, 9, 23, 115, 119, 207, 973, 1339, 1315, 6465, 9917, 4593, 65435, 2515, 0};
static int joe_kuo_d6_initial_number11878[] = {1, 3, 3, 3, 7, 25, 115, 115, 213, 845, 1445, 1217, 1563, 12491, 5197, 44409, 79895, 0};
static int joe_kuo_d6_initial_number11879[] = {1, 1, 1, 3, 9, 33, 31, 203, 19, 895, 1145, 2893, 4807, 7501, 6999, 54883, 13797, 0};
static int joe_kuo_d6_initial_number11880[] = {1, 1, 3, 1, 19, 51, 73, 29, 451, 533, 83, 2477, 335, 9703, 9747, 57427, 69443, 0};
static int joe_kuo_d6_initial_number11881[] = {1, 1, 7, 5, 21, 11, 53, 133, 165, 291, 591, 1419, 3661, 4697, 21363, 53467, 84063, 0};
static int joe_kuo_d6_initial_number11882[] = {1, 1, 7, 3, 13, 7, 85, 49, 193, 289, 1531, 709, 2351, 12085, 28553, 57145, 129517, 0};
static int joe_kuo_d6_initial_number11883[] = {1, 1, 1, 1, 17, 19, 13, 213, 75, 977, 811, 1813, 7293, 13795, 28569, 28133, 11949, 0};
static int joe_kuo_d6_initial_number11884[] = {1, 1, 5, 1, 27, 11, 47, 89, 271, 65, 1651, 2331, 3289, 6227, 15027, 19959, 22945, 0};
static int joe_kuo_d6_initial_number11885[] = {1, 3, 7, 9, 17, 37, 17, 245, 249, 501, 405, 951, 3005, 9757, 10265, 35575, 70529, 0};
static int joe_kuo_d6_initial_number11886[] = {1, 3, 1, 15, 21, 47, 15, 75, 113, 45, 125, 1393, 3361, 13477, 24325, 39743, 67409, 0};
static int joe_kuo_d6_initial_number11887[] = {1, 3, 5, 1, 13, 3, 33, 51, 463, 241, 1421, 1607, 3937, 3405, 26653, 33955, 97915, 0};
static int joe_kuo_d6_initial_number11888[] = {1, 3, 7, 13, 29, 17, 41, 193, 461, 787, 459, 4019, 1887, 13831, 9387, 25215, 69801, 0};
static int joe_kuo_d6_initial_number11889[] = {1, 3, 1, 11, 31, 55, 13, 235, 85, 953, 109, 233, 1893, 13225, 26165, 59237, 15845, 0};
static int joe_kuo_d6_initial_number11890[] = {1, 1, 1, 13, 11, 43, 127, 193, 143, 831, 875, 2471, 7011, 3063, 21979, 42113, 80581, 0};
static int joe_kuo_d6_initial_number11891[] = {1, 3, 7, 1, 5, 1, 63, 55, 349, 525, 441, 2695, 3301, 15737, 13355, 16727, 25001, 0};
static int joe_kuo_d6_initial_number11892[] = {1, 3, 7, 7, 31, 23, 87, 99, 331, 101, 1341, 3, 1447, 9507, 18627, 2503, 57597, 0};
static int joe_kuo_d6_initial_number11893[] = {1, 1, 1, 9, 11, 19, 89, 141, 269, 31, 1933, 429, 7765, 5905, 15327, 25913, 17281, 0};
static int joe_kuo_d6_initial_number11894[] = {1, 3, 1, 9, 23, 61, 75, 15, 121, 635, 1409, 615, 7841, 11993, 1637, 26073, 70763, 0};
static int joe_kuo_d6_initial_number11895[] = {1, 3, 3, 1, 5, 63, 85, 3, 443, 87, 1201, 275, 3457, 16187, 26839, 16593, 36335, 0};
static int joe_kuo_d6_initial_number11896[] = {1, 1, 5, 5, 27, 61, 1, 145, 287, 563, 1135, 2703, 733, 10209, 3937, 23807, 56857, 0};
static int joe_kuo_d6_initial_number11897[] = {1, 3, 3, 7, 1, 41, 97, 155, 305, 395, 1607, 1171, 1061, 12301, 8041, 12111, 66831, 0};
static int joe_kuo_d6_initial_number11898[] = {1, 3, 7, 15, 9, 61, 127, 225, 125, 231, 87, 2433, 6951, 2999, 24859, 61685, 111943, 0};
static int joe_kuo_d6_initial_number11899[] = {1, 3, 5, 15, 13, 39, 87, 57, 305, 469, 1929, 1559, 1383, 2779, 3883, 845, 45181, 0};
static int joe_kuo_d6_initial_number11900[] = {1, 1, 1, 15, 19, 1, 23, 41, 207, 731, 501, 1147, 6543, 5011, 483, 56889, 48993, 0};
static int joe_kuo_d6_initial_number11901[] = {1, 3, 3, 15, 21, 35, 75, 129, 441, 497, 953, 201, 6849, 2893, 6351, 62163, 84127, 0};
static int joe_kuo_d6_initial_number11902[] = {1, 1, 1, 9, 21, 31, 91, 79, 345, 649, 1529, 805, 4931, 12887, 30167, 52305, 92561, 0};
static int joe_kuo_d6_initial_number11903[] = {1, 1, 5, 1, 3, 21, 121, 223, 67, 185, 801, 889, 7443, 8419, 19929, 11451, 11487, 0};
static int joe_kuo_d6_initial_number11904[] = {1, 1, 3, 15, 21, 51, 119, 31, 197, 773, 617, 2055, 799, 9105, 12353, 33635, 27589, 0};
static int joe_kuo_d6_initial_number11905[] = {1, 3, 5, 3, 27, 11, 41, 105, 289, 877, 1175, 3111, 3161, 12537, 18001, 38061, 59089, 0};
static int joe_kuo_d6_initial_number11906[] = {1, 3, 3, 5, 3, 27, 101, 253, 225, 915, 1757, 1601, 3391, 10443, 3983, 58427, 93391, 0};
static int joe_kuo_d6_initial_number11907[] = {1, 3, 1, 7, 9, 43, 85, 115, 169, 285, 1267, 3791, 2701, 5599, 10099, 48105, 45219, 0};
static int joe_kuo_d6_initial_number11908[] = {1, 1, 7, 13, 25, 57, 35, 223, 265, 451, 1913, 2715, 8017, 3725, 7079, 34611, 61159, 0};
static int joe_kuo_d6_initial_number11909[] = {1, 1, 3, 7, 23, 27, 93, 195, 449, 845, 865, 655, 4263, 12743, 7467, 7929, 7095, 0};
static int joe_kuo_d6_initial_number11910[] = {1, 3, 5, 5, 29, 51, 109, 123, 227, 693, 2033, 3829, 7187, 4027, 17861, 45093, 7355, 0};
static int joe_kuo_d6_initial_number11911[] = {1, 1, 1, 11, 27, 31, 127, 75, 443, 479, 865, 1377, 711, 3791, 27235, 17405, 25975, 0};
static int joe_kuo_d6_initial_number11912[] = {1, 3, 5, 7, 1, 49, 79, 167, 471, 453, 211, 265, 8163, 6517, 3413, 17283, 51961, 0};
static int joe_kuo_d6_initial_number11913[] = {1, 3, 1, 5, 17, 29, 15, 239, 385, 239, 425, 2197, 3553, 14913, 14889, 31645, 67477, 0};
static int joe_kuo_d6_initial_number11914[] = {1, 3, 3, 5, 1, 11, 25, 105, 367, 253, 1395, 2077, 2613, 4535, 18215, 37657, 48283, 0};
static int joe_kuo_d6_initial_number11915[] = {1, 3, 3, 1, 1, 41, 7, 161, 437, 659, 833, 3175, 2063, 14497, 6655, 8817, 127321, 0};
static int joe_kuo_d6_initial_number11916[] = {1, 3, 1, 11, 17, 27, 3, 51, 75, 183, 1889, 287, 5429, 14007, 14445, 47395, 94543, 0};
static int joe_kuo_d6_initial_number11917[] = {1, 1, 7, 13, 29, 9, 109, 19, 73, 3, 1529, 457, 6413, 4113, 14733, 24455, 44623, 0};
static int joe_kuo_d6_initial_number11918[] = {1, 3, 1, 15, 15, 31, 83, 25, 263, 229, 1801, 377, 1703, 8571, 10393, 52021, 100937, 0};
static int joe_kuo_d6_initial_number11919[] = {1, 3, 5, 9, 25, 57, 79, 19, 117, 437, 275, 3439, 6393, 2111, 8317, 3521, 96927, 0};
static int joe_kuo_d6_initial_number11920[] = {1, 3, 1, 13, 27, 43, 103, 171, 361, 949, 347, 809, 5819, 2763, 10447, 35129, 46985, 0};
static int joe_kuo_d6_initial_number11921[] = {1, 3, 5, 11, 17, 1, 27, 37, 473, 851, 1057, 831, 4373, 5179, 18193, 48731, 64317, 0};
static int joe_kuo_d6_initial_number11922[] = {1, 3, 1, 7, 17, 5, 19, 217, 439, 549, 1983, 2473, 6059, 5271, 10279, 7793, 114357, 0};
static int joe_kuo_d6_initial_number11923[] = {1, 3, 1, 5, 25, 19, 99, 65, 507, 527, 825, 2517, 2299, 1725, 9913, 5779, 12207, 0};
static int joe_kuo_d6_initial_number11924[] = {1, 3, 1, 1, 29, 41, 119, 27, 411, 475, 461, 1885, 2339, 4945, 24665, 13621, 78129, 0};
static int joe_kuo_d6_initial_number11925[] = {1, 3, 1, 11, 27, 29, 119, 155, 487, 29, 1545, 675, 1417, 6119, 12451, 21345, 39377, 0};
static int joe_kuo_d6_initial_number11926[] = {1, 1, 3, 7, 19, 5, 111, 227, 49, 307, 549, 737, 4793, 13885, 22971, 18653, 69573, 0};
static int joe_kuo_d6_initial_number11927[] = {1, 3, 3, 1, 27, 59, 87, 7, 379, 497, 903, 591, 6105, 1957, 25849, 55957, 120181, 0};
static int joe_kuo_d6_initial_number11928[] = {1, 3, 5, 15, 19, 31, 43, 1, 35, 341, 311, 1343, 3625, 16181, 31047, 59679, 89231, 0};
static int joe_kuo_d6_initial_number11929[] = {1, 1, 1, 15, 21, 19, 93, 229, 49, 597, 1465, 2027, 5935, 12269, 20239, 17861, 26311, 0};
static int joe_kuo_d6_initial_number11930[] = {1, 1, 1, 1, 3, 31, 115, 87, 129, 419, 871, 2469, 3807, 4473, 25025, 36923, 67959, 0};
static int joe_kuo_d6_initial_number11931[] = {1, 1, 1, 3, 23, 31, 41, 247, 295, 369, 1131, 2183, 8097, 7609, 4387, 37565, 50177, 0};
static int joe_kuo_d6_initial_number11932[] = {1, 3, 1, 11, 9, 17, 111, 249, 417, 775, 217, 1435, 6295, 5065, 2967, 55361, 91933, 0};
static int joe_kuo_d6_initial_number11933[] = {1, 3, 5, 7, 19, 21, 71, 219, 411, 31, 335, 2915, 3687, 5691, 12405, 34659, 76721, 0};
static int joe_kuo_d6_initial_number11934[] = {1, 3, 5, 13, 29, 31, 95, 203, 149, 399, 547, 2529, 2485, 3371, 20219, 33647, 34217, 0};
static int joe_kuo_d6_initial_number11935[] = {1, 3, 5, 13, 31, 41, 97, 115, 427, 35, 1319, 2335, 715, 2541, 4507, 49395, 33895, 0};
static int joe_kuo_d6_initial_number11936[] = {1, 3, 7, 15, 3, 49, 3, 49, 153, 93, 1343, 1035, 5685, 15855, 15751, 27663, 99553, 0};
static int joe_kuo_d6_initial_number11937[] = {1, 1, 7, 5, 27, 7, 53, 135, 453, 981, 1767, 3503, 1259, 11973, 23259, 41051, 96593, 0};
static int joe_kuo_d6_initial_number11938[] = {1, 1, 7, 9, 5, 59, 57, 141, 41, 639, 1681, 145, 7019, 6621, 14221, 12051, 71871, 0};
static int joe_kuo_d6_initial_number11939[] = {1, 1, 3, 1, 13, 39, 7, 187, 7, 919, 1555, 2111, 6507, 2099, 10643, 22851, 82033, 0};
static int joe_kuo_d6_initial_number11940[] = {1, 3, 7, 9, 25, 59, 27, 225, 239, 715, 1115, 2309, 7785, 11849, 8991, 54305, 107305, 0};
static int joe_kuo_d6_initial_number11941[] = {1, 1, 7, 11, 21, 51, 1, 223, 481, 195, 2005, 2651, 6797, 12201, 11013, 1843, 65167, 0};
static int joe_kuo_d6_initial_number11942[] = {1, 3, 3, 11, 27, 3, 117, 5, 255, 595, 399, 1329, 1437, 12061, 32679, 16655, 76235, 0};
static int joe_kuo_d6_initial_number11943[] = {1, 1, 7, 13, 21, 1, 35, 159, 329, 37, 1247, 2663, 3889, 14603, 25799, 45363, 87963, 0};
static int joe_kuo_d6_initial_number11944[] = {1, 1, 7, 7, 7, 11, 53, 215, 351, 329, 1039, 969, 4449, 14785, 28617, 25953, 78663, 0};
static int joe_kuo_d6_initial_number11945[] = {1, 1, 7, 7, 27, 17, 19, 223, 143, 433, 789, 1941, 5527, 711, 25097, 4571, 121975, 0};
static int joe_kuo_d6_initial_number11946[] = {1, 3, 1, 13, 11, 47, 31, 249, 325, 1003, 509, 2741, 3953, 1691, 12661, 16097, 80211, 0};
static int joe_kuo_d6_initial_number11947[] = {1, 3, 7, 9, 27, 11, 21, 129, 25, 57, 1523, 3631, 2639, 2541, 14249, 34539, 70551, 0};
static int joe_kuo_d6_initial_number11948[] = {1, 1, 5, 3, 31, 47, 47, 73, 71, 783, 1353, 2157, 2563, 14015, 997, 31611, 118649, 0};
static int joe_kuo_d6_initial_number11949[] = {1, 1, 5, 5, 25, 35, 25, 207, 349, 503, 121, 3455, 5783, 10899, 12745, 35117, 36679, 0};
static int joe_kuo_d6_initial_number11950[] = {1, 3, 1, 3, 11, 39, 123, 177, 19, 441, 1979, 1257, 1351, 4253, 15145, 44559, 59379, 0};
static int joe_kuo_d6_initial_number11951[] = {1, 3, 7, 3, 7, 35, 41, 203, 439, 1013, 1055, 1165, 1043, 11183, 1795, 31253, 113693, 0};
static int joe_kuo_d6_initial_number11952[] = {1, 3, 1, 13, 7, 43, 57, 1, 229, 345, 631, 841, 7923, 5971, 20489, 47917, 66833, 0};
static int joe_kuo_d6_initial_number11953[] = {1, 1, 1, 15, 27, 5, 31, 117, 153, 755, 1207, 619, 8185, 4329, 9979, 57255, 79045, 0};
static int joe_kuo_d6_initial_number11954[] = {1, 3, 3, 7, 23, 1, 7, 227, 337, 417, 1895, 765, 7799, 13599, 27253, 4485, 112391, 0};
static int joe_kuo_d6_initial_number11955[] = {1, 3, 5, 13, 27, 63, 5, 87, 101, 351, 953, 2235, 1587, 5479, 26529, 34165, 83303, 0};
static int joe_kuo_d6_initial_number11956[] = {1, 1, 5, 15, 1, 43, 63, 193, 143, 711, 1779, 3531, 1355, 16253, 14595, 32343, 131021, 0};
static int joe_kuo_d6_initial_number11957[] = {1, 1, 1, 9, 29, 37, 29, 71, 11, 877, 1301, 2415, 5593, 1855, 25223, 6805, 12901, 0};
static int joe_kuo_d6_initial_number11958[] = {1, 1, 7, 9, 31, 5, 49, 63, 185, 373, 129, 1695, 7841, 4477, 17809, 42771, 120221, 0};
static int joe_kuo_d6_initial_number11959[] = {1, 1, 5, 3, 15, 43, 49, 45, 47, 775, 699, 2787, 7831, 4189, 18317, 63933, 83669, 0};
static int joe_kuo_d6_initial_number11960[] = {1, 3, 5, 3, 23, 33, 85, 255, 119, 685, 1245, 1647, 1999, 13063, 9241, 49017, 32619, 0};
static int joe_kuo_d6_initial_number11961[] = {1, 1, 7, 15, 29, 15, 125, 233, 189, 411, 1251, 3459, 7213, 10081, 4403, 56819, 17103, 0};
static int joe_kuo_d6_initial_number11962[] = {1, 3, 3, 11, 21, 13, 93, 125, 213, 793, 1057, 2363, 661, 12213, 2259, 3787, 91451, 0};
static int joe_kuo_d6_initial_number11963[] = {1, 3, 5, 5, 19, 35, 5, 153, 507, 691, 1743, 1777, 7579, 14229, 10155, 18529, 35945, 0};
static int joe_kuo_d6_initial_number11964[] = {1, 3, 7, 5, 27, 35, 13, 77, 189, 793, 877, 643, 2787, 5817, 22589, 58363, 49059, 0};
static int joe_kuo_d6_initial_number11965[] = {1, 3, 7, 9, 9, 37, 21, 251, 119, 895, 1023, 91, 4317, 10943, 7355, 36961, 36903, 0};
static int joe_kuo_d6_initial_number11966[] = {1, 3, 3, 13, 19, 49, 15, 105, 399, 29, 1903, 3503, 3453, 15429, 31503, 57815, 34009, 0};
static int joe_kuo_d6_initial_number11967[] = {1, 1, 5, 1, 19, 35, 49, 97, 335, 665, 1871, 887, 4713, 517, 9571, 41601, 9673, 0};
static int joe_kuo_d6_initial_number11968[] = {1, 3, 5, 13, 29, 45, 111, 233, 251, 407, 1135, 2791, 6525, 11633, 22295, 65381, 117511, 0};
static int joe_kuo_d6_initial_number11969[] = {1, 1, 3, 3, 17, 7, 65, 43, 391, 91, 315, 3559, 479, 7337, 25629, 785, 19855, 0};
static int joe_kuo_d6_initial_number11970[] = {1, 1, 5, 9, 29, 31, 67, 17, 381, 875, 1001, 415, 2263, 4415, 11263, 309, 117623, 0};
static int joe_kuo_d6_initial_number11971[] = {1, 1, 7, 11, 25, 1, 59, 61, 247, 649, 687, 907, 1037, 13935, 7229, 39769, 92755, 0};
static int joe_kuo_d6_initial_number11972[] = {1, 3, 5, 15, 21, 51, 27, 79, 343, 785, 1567, 1349, 7991, 8531, 11243, 61351, 21297, 0};
static int joe_kuo_d6_initial_number11973[] = {1, 1, 1, 3, 31, 41, 67, 169, 83, 959, 813, 1953, 2467, 12369, 31431, 50761, 75731, 0};
static int joe_kuo_d6_initial_number11974[] = {1, 1, 5, 11, 25, 37, 83, 163, 3, 161, 1249, 3009, 7167, 5473, 10561, 44899, 130879, 0};
static int joe_kuo_d6_initial_number11975[] = {1, 1, 7, 11, 9, 61, 61, 113, 81, 205, 731, 3887, 5525, 13415, 25181, 11557, 59343, 0};
static int joe_kuo_d6_initial_number11976[] = {1, 3, 7, 5, 19, 27, 107, 89, 295, 715, 1439, 1285, 5813, 8895, 7233, 32905, 3273, 0};
static int joe_kuo_d6_initial_number11977[] = {1, 1, 5, 1, 29, 11, 125, 253, 445, 295, 1721, 1271, 2203, 2215, 7613, 55655, 112157, 0};
static int joe_kuo_d6_initial_number11978[] = {1, 1, 5, 11, 11, 13, 111, 55, 19, 551, 1365, 477, 2513, 12311, 22485, 23291, 92447, 0};
static int joe_kuo_d6_initial_number11979[] = {1, 1, 7, 11, 9, 5, 3, 109, 507, 441, 1767, 1781, 3077, 219, 29293, 21237, 71159, 0};
static int joe_kuo_d6_initial_number11980[] = {1, 1, 3, 11, 3, 45, 99, 113, 367, 569, 1907, 1281, 51, 13693, 14639, 32999, 77461, 0};
static int joe_kuo_d6_initial_number11981[] = {1, 3, 5, 11, 5, 19, 97, 11, 473, 937, 1623, 1507, 3245, 9331, 16005, 37505, 40085, 0};
static int joe_kuo_d6_initial_number11982[] = {1, 1, 7, 13, 21, 61, 103, 111, 35, 141, 61, 1043, 1989, 1311, 29021, 2617, 89915, 0};
static int joe_kuo_d6_initial_number11983[] = {1, 3, 7, 15, 19, 31, 39, 175, 371, 459, 1293, 1645, 1125, 1199, 4811, 55721, 76071, 0};
static int joe_kuo_d6_initial_number11984[] = {1, 1, 7, 3, 3, 35, 17, 7, 91, 317, 1615, 3559, 191, 2579, 15027, 58711, 36009, 0};
static int joe_kuo_d6_initial_number11985[] = {1, 1, 1, 13, 1, 27, 45, 87, 443, 443, 853, 3917, 1437, 4053, 14861, 2897, 109853, 0};
static int joe_kuo_d6_initial_number11986[] = {1, 1, 5, 3, 21, 47, 73, 195, 115, 517, 1781, 2341, 805, 5679, 12053, 29113, 100479, 0};
static int joe_kuo_d6_initial_number11987[] = {1, 1, 7, 1, 25, 27, 61, 167, 203, 57, 527, 1071, 7131, 8403, 9943, 11503, 33081, 0};
static int joe_kuo_d6_initial_number11988[] = {1, 1, 5, 13, 31, 43, 35, 195, 177, 229, 1401, 4011, 2363, 15787, 21125, 32103, 62337, 0};
static int joe_kuo_d6_initial_number11989[] = {1, 1, 5, 11, 19, 13, 3, 249, 119, 35, 747, 1419, 5451, 13043, 19813, 54859, 94825, 0};
static int joe_kuo_d6_initial_number11990[] = {1, 3, 1, 9, 17, 13, 51, 125, 391, 157, 1199, 1805, 1763, 11831, 20915, 38547, 14221, 0};
static int joe_kuo_d6_initial_number11991[] = {1, 1, 7, 1, 23, 61, 25, 69, 435, 183, 1379, 1211, 5529, 9447, 4575, 14127, 91867, 0};
static int joe_kuo_d6_initial_number11992[] = {1, 3, 3, 15, 11, 15, 101, 135, 419, 685, 1097, 787, 2045, 3393, 26221, 23653, 116917, 0};
static int joe_kuo_d6_initial_number11993[] = {1, 3, 1, 11, 29, 23, 13, 153, 27, 683, 1569, 413, 261, 10291, 23763, 15579, 39337, 0};
static int joe_kuo_d6_initial_number11994[] = {1, 3, 7, 7, 19, 23, 121, 23, 339, 165, 1137, 2791, 319, 16111, 14847, 28171, 79237, 0};
static int joe_kuo_d6_initial_number11995[] = {1, 3, 1, 5, 9, 59, 33, 19, 191, 707, 1883, 1683, 1161, 12905, 12299, 22201, 19811, 0};
static int joe_kuo_d6_initial_number11996[] = {1, 3, 1, 3, 27, 11, 69, 199, 415, 251, 1079, 1709, 4539, 7867, 21321, 33617, 53459, 0};
static int joe_kuo_d6_initial_number11997[] = {1, 1, 3, 9, 19, 59, 21, 95, 275, 213, 1819, 721, 6271, 11845, 9573, 16105, 12755, 0};
static int joe_kuo_d6_initial_number11998[] = {1, 1, 1, 15, 23, 7, 91, 235, 43, 95, 913, 715, 3229, 12339, 23089, 30963, 129525, 0};
static int joe_kuo_d6_initial_number11999[] = {1, 1, 7, 9, 7, 41, 43, 131, 485, 621, 1293, 1955, 5215, 6545, 29225, 53587, 46901, 0};
static int joe_kuo_d6_initial_number12000[] = {1, 3, 1, 5, 7, 57, 97, 199, 225, 707, 1223, 1829, 497, 12587, 24551, 12907, 82411, 0};
static int joe_kuo_d6_initial_number12001[] = {1, 1, 3, 7, 21, 9, 63, 15, 263, 957, 155, 4021, 4455, 2025, 16981, 19743, 88619, 0};
static int joe_kuo_d6_initial_number12002[] = {1, 1, 7, 5, 31, 3, 27, 45, 369, 747, 1559, 1429, 8049, 15069, 19897, 50067, 52861, 0};
static int joe_kuo_d6_initial_number12003[] = {1, 1, 5, 13, 23, 35, 91, 139, 73, 275, 207, 2709, 3801, 12755, 19155, 61629, 5513, 0};
static int joe_kuo_d6_initial_number12004[] = {1, 1, 5, 7, 5, 25, 33, 45, 325, 847, 81, 891, 3191, 14115, 25095, 39867, 3839, 0};
static int joe_kuo_d6_initial_number12005[] = {1, 3, 5, 13, 9, 31, 31, 113, 507, 833, 691, 2041, 4873, 81, 21365, 35265, 37627, 0};
static int joe_kuo_d6_initial_number12006[] = {1, 1, 5, 13, 9, 51, 127, 131, 285, 683, 593, 3411, 6685, 3601, 12255, 8337, 80597, 0};
static int joe_kuo_d6_initial_number12007[] = {1, 1, 5, 15, 29, 13, 79, 199, 157, 421, 1697, 2063, 2213, 4141, 21045, 45785, 124023, 0};
static int joe_kuo_d6_initial_number12008[] = {1, 3, 1, 11, 19, 5, 79, 57, 71, 373, 487, 671, 3671, 9093, 20989, 48477, 104951, 0};
static int joe_kuo_d6_initial_number12009[] = {1, 3, 5, 15, 13, 7, 39, 243, 507, 739, 1905, 3431, 4141, 9345, 27877, 64735, 112997, 0};
static int joe_kuo_d6_initial_number12010[] = {1, 3, 3, 5, 17, 25, 31, 243, 393, 61, 199, 2825, 6981, 5887, 22289, 9201, 77689, 0};
static int joe_kuo_d6_initial_number12011[] = {1, 3, 5, 15, 15, 63, 77, 39, 463, 883, 671, 3285, 6925, 15085, 1665, 64005, 130619, 0};
static int joe_kuo_d6_initial_number12012[] = {1, 3, 3, 11, 21, 15, 7, 115, 9, 879, 1097, 3993, 3929, 9809, 22105, 9549, 31819, 0};
static int joe_kuo_d6_initial_number12013[] = {1, 1, 7, 15, 3, 9, 19, 97, 327, 105, 1915, 205, 3873, 1229, 29915, 57375, 108217, 0};
static int joe_kuo_d6_initial_number12014[] = {1, 1, 3, 11, 29, 41, 77, 11, 183, 73, 1651, 3739, 3911, 8695, 15339, 19293, 1827, 0};
static int joe_kuo_d6_initial_number12015[] = {1, 1, 1, 5, 23, 49, 35, 175, 99, 49, 615, 1733, 6901, 2351, 18765, 55553, 99791, 0};
static int joe_kuo_d6_initial_number12016[] = {1, 3, 7, 3, 25, 17, 67, 161, 507, 941, 35, 2619, 339, 791, 6485, 64277, 123867, 0};
static int joe_kuo_d6_initial_number12017[] = {1, 1, 3, 13, 11, 9, 79, 193, 75, 391, 1753, 3537, 6971, 6607, 11933, 4447, 87793, 0};
static int joe_kuo_d6_initial_number12018[] = {1, 1, 1, 5, 19, 9, 63, 203, 51, 395, 1365, 2393, 7265, 11709, 13721, 4519, 118765, 0};
static int joe_kuo_d6_initial_number12019[] = {1, 1, 3, 9, 17, 53, 29, 103, 325, 973, 903, 785, 7535, 9951, 8121, 12603, 38679, 0};
static int joe_kuo_d6_initial_number12020[] = {1, 3, 1, 7, 7, 63, 1, 123, 439, 181, 1373, 2705, 995, 10789, 7495, 54543, 120109, 0};
static int joe_kuo_d6_initial_number12021[] = {1, 1, 7, 3, 17, 13, 79, 179, 165, 965, 1537, 3753, 3497, 12127, 6983, 48605, 113057, 0};
static int joe_kuo_d6_initial_number12022[] = {1, 1, 5, 7, 3, 7, 41, 25, 267, 633, 19, 1317, 3445, 12377, 27881, 55249, 40841, 0};
static int joe_kuo_d6_initial_number12023[] = {1, 3, 5, 1, 31, 55, 43, 129, 411, 281, 1, 851, 2419, 7943, 13721, 39371, 114557, 0};
static int joe_kuo_d6_initial_number12024[] = {1, 1, 7, 7, 23, 19, 83, 37, 9, 161, 125, 3179, 7973, 9703, 23199, 32723, 130915, 0};
static int joe_kuo_d6_initial_number12025[] = {1, 1, 7, 5, 27, 21, 11, 219, 403, 239, 1723, 2957, 3029, 9911, 10981, 35421, 74025, 0};
static int joe_kuo_d6_initial_number12026[] = {1, 3, 1, 1, 31, 59, 69, 77, 395, 1, 157, 1259, 4913, 2089, 17619, 51033, 130899, 0};
static int joe_kuo_d6_initial_number12027[] = {1, 3, 3, 3, 19, 11, 83, 237, 103, 921, 487, 1833, 8187, 3811, 18887, 9389, 80927, 0};
static int joe_kuo_d6_initial_number12028[] = {1, 3, 7, 3, 17, 51, 107, 209, 187, 831, 1501, 1337, 803, 10361, 11347, 65291, 42219, 0};
static int joe_kuo_d6_initial_number12029[] = {1, 3, 3, 15, 7, 29, 61, 25, 413, 257, 1185, 4009, 7463, 1839, 6645, 28389, 14449, 0};
static int joe_kuo_d6_initial_number12030[] = {1, 3, 1, 9, 5, 31, 83, 55, 375, 399, 945, 997, 7649, 12631, 7691, 53325, 50173, 0};
static int joe_kuo_d6_initial_number12031[] = {1, 1, 5, 9, 13, 9, 83, 37, 487, 975, 487, 3587, 7285, 7505, 10155, 673, 126505, 0};
static int joe_kuo_d6_initial_number12032[] = {1, 3, 5, 7, 21, 3, 35, 21, 367, 323, 1579, 3351, 5465, 13719, 17033, 42573, 55079, 0};
static int joe_kuo_d6_initial_number12033[] = {1, 3, 3, 15, 11, 27, 121, 109, 267, 855, 1417, 3839, 6535, 1051, 29355, 23815, 76031, 0};
static int joe_kuo_d6_initial_number12034[] = {1, 1, 7, 9, 5, 31, 35, 53, 369, 137, 1545, 927, 825, 1333, 13637, 11003, 96963, 0};
static int joe_kuo_d6_initial_number12035[] = {1, 1, 5, 3, 29, 41, 31, 85, 35, 477, 227, 3325, 1213, 681, 14591, 31325, 12199, 0};
static int joe_kuo_d6_initial_number12036[] = {1, 3, 7, 11, 11, 11, 33, 255, 335, 747, 855, 31, 6101, 293, 20423, 47521, 62573, 0};
static int joe_kuo_d6_initial_number12037[] = {1, 1, 1, 15, 31, 15, 33, 175, 321, 441, 1197, 3579, 4989, 9275, 30485, 1077, 122947, 0};
static int joe_kuo_d6_initial_number12038[] = {1, 3, 5, 15, 23, 21, 127, 223, 249, 373, 1309, 1469, 5701, 9097, 29897, 26627, 38489, 0};
static int joe_kuo_d6_initial_number12039[] = {1, 3, 7, 3, 3, 35, 83, 149, 259, 315, 1467, 1953, 6035, 7961, 10901, 25171, 130713, 0};
static int joe_kuo_d6_initial_number12040[] = {1, 1, 3, 9, 7, 63, 55, 33, 375, 421, 151, 1721, 1999, 14937, 17539, 48323, 97345, 0};
static int joe_kuo_d6_initial_number12041[] = {1, 1, 5, 5, 3, 21, 47, 19, 227, 131, 1591, 3779, 929, 13879, 13489, 19805, 20135, 0};
static int joe_kuo_d6_initial_number12042[] = {1, 1, 7, 1, 31, 25, 87, 125, 213, 135, 809, 3067, 5035, 7407, 2193, 31423, 123973, 0};
static int joe_kuo_d6_initial_number12043[] = {1, 3, 5, 13, 17, 19, 77, 169, 345, 115, 227, 649, 3609, 15063, 1895, 17533, 95859, 0};
static int joe_kuo_d6_initial_number12044[] = {1, 3, 5, 15, 17, 29, 17, 11, 145, 601, 1871, 851, 8161, 14029, 10039, 4247, 62393, 0};
static int joe_kuo_d6_initial_number12045[] = {1, 1, 7, 13, 25, 5, 49, 231, 261, 71, 335, 4081, 7915, 11367, 17087, 26041, 128737, 0};
static int joe_kuo_d6_initial_number12046[] = {1, 1, 1, 13, 13, 21, 77, 113, 373, 1005, 109, 2877, 3001, 15011, 2465, 37015, 69049, 0};
static int joe_kuo_d6_initial_number12047[] = {1, 1, 3, 15, 31, 33, 119, 121, 41, 9, 1567, 577, 1687, 12117, 17049, 675, 10729, 0};
static int joe_kuo_d6_initial_number12048[] = {1, 3, 5, 11, 31, 7, 47, 41, 127, 81, 273, 1649, 975, 3953, 17021, 24163, 12599, 0};
static int joe_kuo_d6_initial_number12049[] = {1, 3, 1, 3, 27, 41, 75, 237, 317, 85, 1995, 2255, 2191, 6441, 26629, 25797, 97681, 0};
static int joe_kuo_d6_initial_number12050[] = {1, 1, 1, 3, 11, 5, 31, 109, 227, 977, 59, 793, 3305, 10905, 16529, 21345, 2403, 0};
static int joe_kuo_d6_initial_number12051[] = {1, 3, 5, 9, 9, 37, 107, 129, 421, 383, 1415, 885, 3383, 9547, 7303, 41745, 59919, 0};
static int joe_kuo_d6_initial_number12052[] = {1, 1, 7, 7, 29, 27, 59, 177, 97, 299, 1019, 1393, 7763, 5715, 9253, 58035, 23431, 0};
static int joe_kuo_d6_initial_number12053[] = {1, 3, 3, 3, 23, 13, 51, 101, 75, 857, 1699, 2687, 3983, 10427, 19845, 49503, 96033, 0};
static int joe_kuo_d6_initial_number12054[] = {1, 1, 1, 7, 21, 51, 25, 71, 265, 999, 1259, 625, 775, 11045, 20769, 42597, 115521, 0};
static int joe_kuo_d6_initial_number12055[] = {1, 3, 1, 13, 25, 47, 21, 245, 201, 667, 1193, 1087, 407, 6057, 14929, 35291, 57615, 0};
static int joe_kuo_d6_initial_number12056[] = {1, 1, 1, 7, 27, 25, 93, 85, 321, 1009, 1045, 1901, 349, 11393, 10917, 10413, 94125, 0};
static int joe_kuo_d6_initial_number12057[] = {1, 1, 1, 15, 3, 63, 59, 51, 307, 135, 785, 1921, 6921, 5689, 8487, 21061, 69903, 0};
static int joe_kuo_d6_initial_number12058[] = {1, 3, 7, 1, 13, 47, 59, 155, 107, 573, 843, 2849, 6685, 5927, 31747, 21541, 94271, 0};
static int joe_kuo_d6_initial_number12059[] = {1, 1, 7, 15, 23, 7, 85, 169, 209, 527, 1027, 3745, 4773, 14893, 10789, 1243, 87133, 0};
static int joe_kuo_d6_initial_number12060[] = {1, 1, 5, 9, 1, 1, 53, 57, 245, 899, 1785, 1951, 7651, 10909, 30167, 40789, 66965, 0};
static int joe_kuo_d6_initial_number12061[] = {1, 1, 1, 7, 17, 33, 65, 79, 455, 677, 157, 1313, 1573, 9697, 4161, 4609, 42783, 0};
static int joe_kuo_d6_initial_number12062[] = {1, 3, 7, 7, 27, 15, 109, 113, 239, 521, 563, 2493, 1471, 15817, 14515, 48465, 66009, 0};
static int joe_kuo_d6_initial_number12063[] = {1, 3, 5, 3, 29, 33, 125, 169, 483, 593, 1665, 657, 3799, 15829, 29591, 25813, 40987, 0};
static int joe_kuo_d6_initial_number12064[] = {1, 3, 1, 11, 15, 25, 21, 215, 341, 241, 1599, 3807, 6633, 15137, 15377, 56881, 47499, 0};
static int joe_kuo_d6_initial_number12065[] = {1, 3, 3, 3, 15, 49, 89, 117, 191, 641, 675, 2671, 4243, 1617, 20261, 42669, 119173, 0};
static int joe_kuo_d6_initial_number12066[] = {1, 1, 1, 13, 13, 43, 73, 103, 183, 239, 555, 2121, 4889, 1431, 20601, 21545, 11809, 0};
static int joe_kuo_d6_initial_number12067[] = {1, 3, 1, 9, 9, 9, 121, 51, 77, 455, 1481, 427, 1961, 12149, 21273, 16295, 21909, 0};
static int joe_kuo_d6_initial_number12068[] = {1, 1, 5, 11, 19, 55, 37, 63, 493, 663, 945, 2191, 2491, 11545, 7407, 36295, 94293, 0};
static int joe_kuo_d6_initial_number12069[] = {1, 3, 5, 15, 25, 35, 103, 33, 171, 425, 409, 5, 2519, 2239, 30557, 20007, 69079, 0};
static int joe_kuo_d6_initial_number12070[] = {1, 1, 5, 11, 13, 29, 71, 21, 35, 833, 191, 365, 7013, 12413, 10227, 56705, 61705, 0};
static int joe_kuo_d6_initial_number12071[] = {1, 1, 1, 1, 21, 13, 87, 113, 63, 537, 283, 925, 2147, 1683, 31239, 2775, 131021, 0};
static int joe_kuo_d6_initial_number12072[] = {1, 1, 3, 9, 23, 1, 117, 19, 487, 235, 877, 149, 369, 9615, 12501, 60175, 35741, 0};
static int joe_kuo_d6_initial_number12073[] = {1, 1, 7, 9, 5, 25, 107, 199, 339, 755, 245, 2861, 1119, 14683, 2221, 5227, 81479, 0};
static int joe_kuo_d6_initial_number12074[] = {1, 1, 1, 15, 5, 15, 37, 63, 511, 219, 783, 3245, 5563, 13231, 22311, 16803, 10393, 0};
static int joe_kuo_d6_initial_number12075[] = {1, 3, 7, 5, 1, 15, 9, 21, 287, 991, 555, 771, 7683, 1661, 6553, 43735, 118713, 0};
static int joe_kuo_d6_initial_number12076[] = {1, 3, 1, 3, 3, 29, 119, 157, 13, 599, 537, 2921, 5207, 11621, 1515, 6351, 118429, 0};
static int joe_kuo_d6_initial_number12077[] = {1, 1, 5, 1, 27, 39, 111, 117, 481, 25, 549, 913, 6427, 7703, 23099, 50501, 7617, 0};
static int joe_kuo_d6_initial_number12078[] = {1, 1, 7, 5, 29, 63, 43, 151, 63, 43, 197, 3165, 3879, 12435, 461, 64475, 60597, 0};
static int joe_kuo_d6_initial_number12079[] = {1, 3, 1, 11, 31, 35, 59, 207, 387, 441, 1293, 2117, 3751, 12653, 2811, 42585, 33297, 0};
static int joe_kuo_d6_initial_number12080[] = {1, 3, 7, 15, 27, 47, 13, 15, 135, 433, 615, 1, 171, 11503, 27117, 64635, 122191, 0};
static int joe_kuo_d6_initial_number12081[] = {1, 1, 7, 1, 23, 23, 107, 135, 311, 395, 373, 2771, 81, 12513, 16739, 6715, 94999, 0};
static int joe_kuo_d6_initial_number12082[] = {1, 3, 5, 7, 19, 9, 21, 139, 307, 231, 65, 59, 7767, 2897, 3503, 58163, 48807, 0};
static int joe_kuo_d6_initial_number12083[] = {1, 3, 5, 13, 23, 5, 51, 247, 125, 911, 1395, 1337, 3215, 15811, 12729, 21495, 22597, 0};
static int joe_kuo_d6_initial_number12084[] = {1, 3, 5, 5, 1, 19, 123, 125, 197, 533, 1699, 1397, 3473, 15201, 24493, 3395, 98261, 0};
static int joe_kuo_d6_initial_number12085[] = {1, 1, 3, 7, 29, 39, 69, 97, 353, 293, 1103, 543, 5015, 9913, 6965, 61921, 122073, 0};
static int joe_kuo_d6_initial_number12086[] = {1, 1, 3, 13, 19, 41, 117, 253, 449, 231, 865, 3055, 4751, 3277, 22863, 3249, 38359, 0};
static int joe_kuo_d6_initial_number12087[] = {1, 3, 5, 13, 9, 7, 107, 17, 251, 501, 1925, 3733, 5035, 13213, 12535, 13705, 73047, 0};
static int joe_kuo_d6_initial_number12088[] = {1, 3, 7, 5, 23, 5, 83, 45, 457, 667, 913, 1167, 7063, 10915, 10911, 20501, 61823, 0};
static int joe_kuo_d6_initial_number12089[] = {1, 3, 3, 13, 7, 15, 29, 223, 503, 713, 667, 3989, 5927, 5909, 27633, 17615, 97931, 0};
static int joe_kuo_d6_initial_number12090[] = {1, 3, 7, 13, 19, 53, 25, 41, 311, 327, 1323, 3361, 1095, 12701, 1065, 34155, 34705, 0};
static int joe_kuo_d6_initial_number12091[] = {1, 1, 7, 7, 11, 35, 63, 73, 179, 477, 467, 4043, 3097, 16089, 12749, 18233, 50299, 0};
static int joe_kuo_d6_initial_number12092[] = {1, 3, 3, 13, 5, 27, 31, 207, 357, 469, 607, 961, 7393, 6707, 25833, 22337, 119083, 0};
static int joe_kuo_d6_initial_number12093[] = {1, 1, 3, 3, 7, 53, 47, 55, 267, 107, 1307, 2151, 793, 15605, 12153, 13075, 76529, 0};
static int joe_kuo_d6_initial_number12094[] = {1, 3, 5, 1, 13, 35, 63, 191, 375, 221, 1603, 2049, 5363, 1481, 32271, 22635, 118603, 0};
static int joe_kuo_d6_initial_number12095[] = {1, 1, 1, 11, 17, 63, 13, 3, 353, 943, 443, 141, 7441, 12335, 4499, 15923, 63677, 0};
static int joe_kuo_d6_initial_number12096[] = {1, 3, 7, 13, 21, 51, 125, 61, 203, 1, 707, 3893, 4627, 3125, 14629, 62721, 85101, 0};
static int joe_kuo_d6_initial_number12097[] = {1, 1, 3, 5, 31, 23, 63, 241, 41, 721, 599, 1761, 2593, 1685, 31247, 7811, 87561, 0};
static int joe_kuo_d6_initial_number12098[] = {1, 1, 7, 9, 7, 53, 51, 9, 303, 675, 1261, 1591, 4363, 15, 29723, 54533, 103869, 0};
static int joe_kuo_d6_initial_number12099[] = {1, 3, 5, 7, 27, 21, 103, 113, 463, 379, 635, 2363, 607, 11445, 22475, 58433, 93071, 0};
static int joe_kuo_d6_initial_number12100[] = {1, 1, 5, 5, 5, 63, 23, 67, 399, 279, 829, 945, 6545, 14951, 5135, 22889, 87625, 0};
static int joe_kuo_d6_initial_number12101[] = {1, 1, 7, 15, 1, 59, 69, 123, 169, 821, 1125, 2051, 3375, 11691, 1379, 57461, 124209, 0};
static int joe_kuo_d6_initial_number12102[] = {1, 1, 5, 15, 31, 57, 51, 59, 297, 459, 701, 241, 2801, 11893, 4007, 13165, 79403, 0};
static int joe_kuo_d6_initial_number12103[] = {1, 1, 5, 9, 11, 41, 79, 47, 19, 529, 21, 1871, 371, 6269, 7433, 36183, 96113, 0};
static int joe_kuo_d6_initial_number12104[] = {1, 1, 7, 5, 29, 3, 33, 191, 119, 501, 1637, 2903, 3347, 4581, 17407, 18169, 10595, 0};
static int joe_kuo_d6_initial_number12105[] = {1, 3, 5, 11, 9, 35, 95, 193, 413, 727, 1157, 3331, 5993, 1781, 22653, 3975, 110557, 0};
static int joe_kuo_d6_initial_number12106[] = {1, 1, 1, 1, 23, 5, 35, 65, 57, 515, 569, 4031, 7983, 4603, 29419, 44847, 63601, 0};
static int joe_kuo_d6_initial_number12107[] = {1, 3, 1, 7, 21, 5, 77, 23, 317, 803, 723, 3229, 7171, 2883, 10943, 50323, 108579, 0};
static int joe_kuo_d6_initial_number12108[] = {1, 3, 5, 11, 15, 53, 75, 127, 177, 19, 501, 1201, 5113, 9069, 8817, 14725, 104737, 0};
static int joe_kuo_d6_initial_number12109[] = {1, 3, 7, 9, 7, 39, 5, 121, 409, 103, 1075, 451, 7603, 16023, 32557, 43159, 94385, 0};
static int joe_kuo_d6_initial_number12110[] = {1, 3, 1, 11, 29, 57, 123, 141, 57, 945, 1777, 2427, 2359, 12839, 7325, 7945, 129811, 0};
static int joe_kuo_d6_initial_number12111[] = {1, 3, 5, 15, 5, 3, 17, 55, 467, 61, 131, 2891, 6331, 5859, 20437, 49425, 80731, 0};
static int joe_kuo_d6_initial_number12112[] = {1, 1, 1, 15, 29, 13, 127, 181, 361, 1019, 1675, 2755, 6533, 8957, 14691, 4285, 65459, 0};
static int joe_kuo_d6_initial_number12113[] = {1, 1, 7, 11, 23, 43, 111, 183, 103, 269, 229, 3291, 1873, 11349, 29319, 64829, 19639, 0};
static int joe_kuo_d6_initial_number12114[] = {1, 3, 7, 11, 15, 63, 1, 253, 489, 863, 1707, 2769, 3201, 7901, 18161, 12515, 130237, 0};
static int joe_kuo_d6_initial_number12115[] = {1, 3, 1, 7, 1, 25, 43, 159, 505, 511, 1745, 1421, 6779, 11103, 23535, 61129, 124571, 0};
static int joe_kuo_d6_initial_number12116[] = {1, 1, 3, 13, 19, 33, 17, 243, 481, 617, 1061, 1891, 7165, 6821, 18505, 8965, 70179, 0};
static int joe_kuo_d6_initial_number12117[] = {1, 1, 7, 13, 17, 17, 65, 23, 255, 361, 1873, 1605, 2041, 11119, 11419, 63131, 49207, 0};
static int joe_kuo_d6_initial_number12118[] = {1, 1, 5, 13, 15, 57, 27, 223, 199, 529, 1115, 1513, 8083, 11713, 21005, 50741, 122223, 0};
static int joe_kuo_d6_initial_number12119[] = {1, 3, 5, 15, 29, 35, 107, 85, 141, 505, 1553, 1283, 4581, 5077, 9461, 59853, 23219, 0};
static int joe_kuo_d6_initial_number12120[] = {1, 3, 5, 11, 11, 45, 53, 195, 199, 773, 1911, 721, 1563, 3769, 3267, 30673, 80313, 0};
static int joe_kuo_d6_initial_number12121[] = {1, 3, 7, 7, 21, 37, 9, 129, 431, 79, 1559, 2125, 7781, 6441, 23533, 46919, 25315, 0};
static int joe_kuo_d6_initial_number12122[] = {1, 1, 5, 15, 11, 61, 77, 231, 349, 647, 225, 85, 6789, 12557, 6505, 21985, 54965, 0};
static int joe_kuo_d6_initial_number12123[] = {1, 1, 5, 1, 19, 21, 33, 211, 347, 491, 1119, 1619, 3739, 11255, 26705, 59691, 35337, 0};
static int joe_kuo_d6_initial_number12124[] = {1, 1, 3, 3, 29, 15, 7, 23, 279, 145, 699, 289, 475, 1681, 3201, 64477, 24919, 0};
static int joe_kuo_d6_initial_number12125[] = {1, 1, 7, 7, 23, 53, 75, 71, 315, 403, 1521, 1417, 3749, 11243, 3951, 61039, 51143, 0};
static int joe_kuo_d6_initial_number12126[] = {1, 3, 7, 3, 15, 21, 81, 219, 249, 387, 1405, 3495, 7143, 2599, 25435, 15259, 66069, 0};
static int joe_kuo_d6_initial_number12127[] = {1, 1, 5, 7, 31, 9, 63, 55, 409, 421, 1851, 847, 1593, 10447, 2833, 13209, 47285, 0};
static int joe_kuo_d6_initial_number12128[] = {1, 1, 3, 7, 15, 3, 35, 49, 253, 21, 1705, 357, 2751, 9671, 12429, 4549, 118691, 0};
static int joe_kuo_d6_initial_number12129[] = {1, 1, 5, 15, 1, 3, 97, 197, 43, 923, 1273, 663, 4291, 12357, 28221, 15291, 60989, 0};
static int joe_kuo_d6_initial_number12130[] = {1, 1, 7, 7, 15, 3, 35, 115, 449, 641, 743, 1855, 359, 10983, 2831, 43983, 56465, 0};
static int joe_kuo_d6_initial_number12131[] = {1, 3, 7, 11, 1, 51, 69, 27, 29, 187, 1673, 1273, 7987, 1223, 8971, 53805, 4413, 0};
static int joe_kuo_d6_initial_number12132[] = {1, 1, 3, 11, 1, 55, 91, 241, 35, 97, 1027, 3967, 703, 3535, 21681, 55825, 50423, 0};
static int joe_kuo_d6_initial_number12133[] = {1, 1, 7, 11, 21, 53, 111, 125, 11, 355, 1585, 3603, 1705, 16311, 7045, 15503, 63625, 0};
static int joe_kuo_d6_initial_number12134[] = {1, 1, 5, 15, 25, 47, 31, 29, 333, 361, 1831, 1545, 7751, 8679, 32453, 61755, 94637, 0};
static int joe_kuo_d6_initial_number12135[] = {1, 1, 3, 3, 23, 3, 79, 11, 367, 551, 281, 1273, 5097, 12527, 473, 33855, 85783, 0};
static int joe_kuo_d6_initial_number12136[] = {1, 1, 1, 15, 27, 21, 107, 121, 187, 495, 1877, 1957, 3647, 13263, 30729, 18131, 33689, 0};
static int joe_kuo_d6_initial_number12137[] = {1, 1, 5, 13, 3, 43, 41, 53, 127, 299, 839, 3327, 7929, 9921, 29471, 18075, 34283, 0};
static int joe_kuo_d6_initial_number12138[] = {1, 1, 7, 13, 31, 5, 59, 75, 335, 929, 379, 139, 7121, 9281, 31161, 3177, 2615, 0};
static int joe_kuo_d6_initial_number12139[] = {1, 3, 7, 1, 11, 19, 81, 199, 425, 639, 497, 693, 1271, 7363, 10543, 52513, 130549, 0};
static int joe_kuo_d6_initial_number12140[] = {1, 3, 3, 7, 21, 41, 101, 67, 363, 5, 1455, 1433, 81, 15609, 16231, 13285, 38995, 0};
static int joe_kuo_d6_initial_number12141[] = {1, 1, 3, 15, 11, 19, 123, 177, 429, 27, 141, 3095, 5379, 2241, 29877, 59383, 25199, 0};
static int joe_kuo_d6_initial_number12142[] = {1, 1, 7, 7, 19, 63, 93, 217, 279, 349, 149, 2479, 2355, 6475, 29993, 37941, 58715, 0};
static int joe_kuo_d6_initial_number12143[] = {1, 3, 7, 3, 21, 23, 59, 177, 489, 817, 1209, 1629, 5805, 3137, 23767, 62967, 16609, 0};
static int joe_kuo_d6_initial_number12144[] = {1, 3, 3, 7, 9, 55, 59, 31, 191, 891, 833, 1059, 3007, 2331, 385, 58247, 110697, 0};
static int joe_kuo_d6_initial_number12145[] = {1, 1, 3, 3, 11, 61, 9, 189, 79, 621, 209, 2785, 2959, 4133, 20691, 45605, 117089, 0};
static int joe_kuo_d6_initial_number12146[] = {1, 3, 3, 5, 5, 47, 31, 1, 451, 765, 2027, 2327, 1725, 14341, 7997, 6449, 77893, 0};
static int joe_kuo_d6_initial_number12147[] = {1, 1, 7, 1, 7, 27, 27, 129, 227, 505, 1461, 783, 945, 12653, 17913, 61631, 41875, 0};
static int joe_kuo_d6_initial_number12148[] = {1, 1, 1, 11, 13, 41, 41, 221, 483, 825, 451, 493, 1717, 10389, 7805, 37707, 30733, 0};
static int joe_kuo_d6_initial_number12149[] = {1, 1, 5, 3, 31, 31, 75, 3, 323, 83, 563, 919, 7387, 1673, 6157, 7415, 14947, 0};
static int joe_kuo_d6_initial_number12150[] = {1, 1, 7, 13, 19, 37, 29, 93, 153, 491, 1033, 1389, 6361, 11133, 20049, 24585, 107325, 0};
static int joe_kuo_d6_initial_number12151[] = {1, 1, 1, 15, 3, 35, 79, 251, 383, 665, 2033, 3165, 3411, 15965, 28281, 56521, 56479, 0};
static int joe_kuo_d6_initial_number12152[] = {1, 3, 1, 15, 23, 1, 87, 145, 443, 405, 635, 1597, 1455, 5983, 12741, 55133, 2815, 0};
static int joe_kuo_d6_initial_number12153[] = {1, 1, 1, 13, 11, 25, 19, 129, 23, 913, 1121, 223, 1991, 13449, 30443, 50573, 108467, 0};
static int joe_kuo_d6_initial_number12154[] = {1, 1, 7, 11, 29, 31, 49, 51, 415, 293, 173, 4091, 159, 2679, 30643, 58725, 109287, 0};
static int joe_kuo_d6_initial_number12155[] = {1, 1, 1, 7, 15, 53, 69, 231, 387, 693, 1299, 1383, 7935, 10313, 22403, 59341, 3347, 0};
static int joe_kuo_d6_initial_number12156[] = {1, 3, 3, 5, 9, 21, 111, 11, 469, 109, 1565, 3107, 2975, 12491, 26773, 33245, 27589, 0};
static int joe_kuo_d6_initial_number12157[] = {1, 1, 3, 5, 3, 9, 103, 127, 345, 301, 857, 2035, 3269, 13819, 7555, 5197, 94557, 0};
static int joe_kuo_d6_initial_number12158[] = {1, 3, 7, 3, 31, 3, 61, 253, 221, 359, 1281, 1405, 4819, 1329, 17773, 29539, 127043, 0};
static int joe_kuo_d6_initial_number12159[] = {1, 1, 7, 11, 17, 47, 105, 253, 253, 531, 119, 2009, 6125, 9387, 13141, 29079, 28361, 0};
static int joe_kuo_d6_initial_number12160[] = {1, 1, 3, 5, 21, 13, 21, 223, 79, 819, 1425, 1001, 6517, 8883, 29997, 30637, 7717, 0};
static int joe_kuo_d6_initial_number12161[] = {1, 3, 1, 3, 1, 23, 113, 69, 235, 95, 1873, 689, 4611, 13209, 12681, 16057, 114071, 0};
static int joe_kuo_d6_initial_number12162[] = {1, 3, 3, 13, 25, 21, 93, 55, 253, 373, 1659, 829, 6539, 7453, 28195, 33131, 92559, 0};
static int joe_kuo_d6_initial_number12163[] = {1, 1, 3, 11, 25, 29, 81, 235, 429, 811, 1867, 2923, 5949, 4423, 93, 64631, 48357, 0};
static int joe_kuo_d6_initial_number12164[] = {1, 3, 5, 13, 29, 27, 35, 15, 105, 849, 247, 3999, 6441, 12443, 19817, 49897, 21515, 0};
static int joe_kuo_d6_initial_number12165[] = {1, 1, 5, 15, 13, 59, 3, 199, 267, 463, 655, 3875, 2895, 13411, 5081, 22069, 6053, 0};
static int joe_kuo_d6_initial_number12166[] = {1, 1, 5, 9, 5, 13, 111, 83, 281, 543, 629, 1349, 1863, 9523, 19201, 39229, 78265, 0};
static int joe_kuo_d6_initial_number12167[] = {1, 3, 7, 1, 29, 23, 109, 75, 347, 643, 97, 1981, 2797, 11201, 28355, 54105, 45551, 0};
static int joe_kuo_d6_initial_number12168[] = {1, 3, 1, 7, 9, 5, 77, 17, 179, 957, 621, 779, 7117, 1491, 11563, 10131, 98335, 0};
static int joe_kuo_d6_initial_number12169[] = {1, 3, 3, 1, 3, 53, 39, 217, 309, 105, 485, 3123, 3143, 2359, 4923, 22307, 120319, 0};
static int joe_kuo_d6_initial_number12170[] = {1, 1, 7, 7, 11, 5, 65, 165, 321, 455, 625, 2417, 999, 14999, 6777, 13319, 43399, 0};
static int joe_kuo_d6_initial_number12171[] = {1, 1, 7, 3, 11, 55, 43, 119, 135, 129, 581, 3593, 3475, 14667, 30509, 5007, 120135, 0};
static int joe_kuo_d6_initial_number12172[] = {1, 1, 1, 11, 7, 17, 95, 169, 401, 87, 1425, 1821, 7619, 3605, 10993, 35837, 87311, 0};
static int joe_kuo_d6_initial_number12173[] = {1, 1, 7, 11, 11, 35, 29, 63, 395, 301, 373, 2457, 6859, 1915, 11215, 41075, 78219, 0};
static int joe_kuo_d6_initial_number12174[] = {1, 3, 5, 7, 25, 3, 97, 43, 273, 459, 103, 3441, 71, 10269, 29893, 46053, 104801, 0};
static int joe_kuo_d6_initial_number12175[] = {1, 3, 3, 7, 31, 3, 121, 255, 73, 783, 977, 513, 6527, 1189, 8925, 23245, 22287, 0};
static int joe_kuo_d6_initial_number12176[] = {1, 3, 3, 13, 15, 53, 51, 135, 465, 341, 263, 1687, 4085, 14257, 18745, 46945, 115475, 0};
static int joe_kuo_d6_initial_number12177[] = {1, 3, 1, 5, 31, 1, 1, 91, 511, 771, 1501, 2613, 991, 3859, 28911, 65417, 201, 0};
static int joe_kuo_d6_initial_number12178[] = {1, 1, 7, 1, 27, 21, 107, 153, 163, 949, 811, 3087, 3443, 5621, 28795, 58311, 63763, 0};
static int joe_kuo_d6_initial_number12179[] = {1, 1, 7, 5, 29, 29, 57, 175, 29, 821, 1545, 2643, 725, 16225, 29111, 19675, 129995, 0};
static int joe_kuo_d6_initial_number12180[] = {1, 1, 7, 3, 31, 31, 61, 155, 265, 323, 1829, 3891, 6393, 8573, 10627, 10839, 78683, 0};
static int joe_kuo_d6_initial_number12181[] = {1, 3, 5, 7, 29, 7, 67, 181, 313, 731, 1761, 1681, 3673, 8939, 811, 48931, 82021, 0};
static int joe_kuo_d6_initial_number12182[] = {1, 3, 1, 3, 11, 51, 81, 67, 173, 881, 855, 3627, 1613, 4825, 7035, 36261, 64899, 0};
static int joe_kuo_d6_initial_number12183[] = {1, 3, 7, 7, 15, 53, 123, 41, 265, 817, 807, 3875, 7675, 16225, 13313, 62217, 47647, 0};
static int joe_kuo_d6_initial_number12184[] = {1, 1, 3, 13, 23, 47, 125, 155, 403, 651, 1693, 2185, 5565, 9947, 20893, 11287, 118943, 0};
static int joe_kuo_d6_initial_number12185[] = {1, 3, 7, 3, 19, 47, 69, 5, 209, 259, 367, 3929, 7579, 12687, 18109, 51885, 128281, 0};
static int joe_kuo_d6_initial_number12186[] = {1, 1, 7, 5, 27, 41, 45, 41, 205, 1001, 1509, 2649, 1141, 5355, 10265, 34131, 112111, 0};
static int joe_kuo_d6_initial_number12187[] = {1, 3, 7, 5, 19, 41, 103, 63, 49, 25, 271, 793, 3217, 4741, 2563, 61333, 113205, 0};
static int joe_kuo_d6_initial_number12188[] = {1, 3, 3, 15, 15, 35, 13, 233, 277, 673, 545, 545, 7419, 6707, 1867, 58873, 110027, 0};
static int joe_kuo_d6_initial_number12189[] = {1, 1, 7, 3, 9, 23, 67, 55, 3, 1019, 2001, 2909, 7311, 9295, 26953, 43217, 54597, 0};
static int joe_kuo_d6_initial_number12190[] = {1, 3, 5, 7, 13, 33, 67, 27, 75, 569, 1777, 791, 1223, 1805, 19167, 60537, 60039, 0};
static int joe_kuo_d6_initial_number12191[] = {1, 1, 5, 13, 15, 61, 49, 59, 289, 907, 1055, 3579, 8169, 12119, 25479, 32867, 65343, 0};
static int joe_kuo_d6_initial_number12192[] = {1, 3, 5, 9, 5, 63, 91, 225, 377, 469, 891, 891, 5115, 11487, 30151, 44357, 120077, 0};
static int joe_kuo_d6_initial_number12193[] = {1, 1, 1, 15, 29, 59, 19, 51, 295, 585, 149, 497, 5837, 11629, 7825, 18129, 113797, 0};
static int joe_kuo_d6_initial_number12194[] = {1, 1, 3, 7, 31, 25, 77, 209, 183, 337, 1753, 2703, 2559, 11847, 17349, 27359, 21771, 0};
static int joe_kuo_d6_initial_number12195[] = {1, 1, 7, 7, 13, 23, 69, 61, 353, 339, 833, 1935, 4333, 10521, 20331, 62145, 59245, 0};
static int joe_kuo_d6_initial_number12196[] = {1, 1, 5, 13, 19, 57, 35, 59, 203, 99, 487, 2747, 637, 8213, 27053, 29, 64335, 0};
static int joe_kuo_d6_initial_number12197[] = {1, 3, 5, 7, 27, 5, 71, 147, 339, 313, 913, 2845, 5713, 4383, 18969, 54871, 51931, 0};
static int joe_kuo_d6_initial_number12198[] = {1, 1, 1, 5, 7, 23, 19, 11, 111, 543, 311, 1519, 387, 10175, 18209, 14115, 123421, 0};
static int joe_kuo_d6_initial_number12199[] = {1, 3, 7, 11, 7, 7, 123, 193, 417, 65, 1317, 3821, 2315, 14527, 14113, 25873, 23977, 0};
static int joe_kuo_d6_initial_number12200[] = {1, 1, 3, 15, 21, 11, 3, 37, 115, 395, 877, 1227, 6997, 4357, 11397, 52855, 24899, 0};
static int joe_kuo_d6_initial_number12201[] = {1, 1, 7, 5, 15, 45, 45, 17, 441, 605, 429, 739, 4759, 5249, 11311, 55049, 56909, 0};
static int joe_kuo_d6_initial_number12202[] = {1, 1, 1, 5, 3, 5, 77, 31, 407, 703, 385, 235, 7751, 617, 16013, 27269, 66971, 0};
static int joe_kuo_d6_initial_number12203[] = {1, 3, 3, 15, 25, 27, 19, 251, 465, 197, 1039, 3261, 4557, 4821, 16083, 43997, 61371, 0};
static int joe_kuo_d6_initial_number12204[] = {1, 3, 3, 15, 21, 45, 13, 139, 213, 797, 619, 2125, 3805, 4149, 11427, 59807, 104587, 0};
static int joe_kuo_d6_initial_number12205[] = {1, 3, 1, 1, 29, 27, 25, 7, 371, 535, 1613, 1083, 4221, 8913, 10601, 6447, 17619, 0};
static int joe_kuo_d6_initial_number12206[] = {1, 1, 3, 3, 13, 35, 37, 127, 285, 899, 307, 123, 129, 14035, 26503, 64103, 27155, 0};
static int joe_kuo_d6_initial_number12207[] = {1, 1, 7, 7, 27, 25, 45, 245, 271, 281, 69, 3505, 7087, 1529, 7121, 30327, 89131, 0};
static int joe_kuo_d6_initial_number12208[] = {1, 1, 3, 11, 13, 57, 31, 23, 455, 427, 1683, 3019, 5827, 8817, 12943, 321, 39951, 0};
static int joe_kuo_d6_initial_number12209[] = {1, 3, 1, 3, 31, 41, 69, 211, 385, 275, 1569, 2265, 4017, 11057, 15, 16619, 126967, 0};
static int joe_kuo_d6_initial_number12210[] = {1, 3, 3, 1, 27, 27, 21, 145, 125, 929, 1371, 1469, 1591, 5283, 4651, 1265, 17161, 0};
static int joe_kuo_d6_initial_number12211[] = {1, 3, 7, 5, 29, 31, 41, 141, 49, 967, 1421, 663, 6089, 3831, 11353, 38809, 108605, 0};
static int joe_kuo_d6_initial_number12212[] = {1, 1, 7, 15, 11, 23, 91, 31, 9, 717, 265, 1729, 3563, 8145, 20441, 22933, 103683, 0};
static int joe_kuo_d6_initial_number12213[] = {1, 1, 7, 3, 17, 13, 47, 13, 241, 1017, 1803, 2091, 7379, 2941, 11783, 36189, 53513, 0};
static int joe_kuo_d6_initial_number12214[] = {1, 3, 1, 11, 31, 63, 107, 79, 427, 385, 1497, 1265, 5135, 13597, 27343, 56733, 100595, 0};
static int joe_kuo_d6_initial_number12215[] = {1, 3, 7, 3, 9, 15, 119, 29, 205, 151, 1453, 3575, 3627, 7815, 3553, 31457, 14267, 0};
static int joe_kuo_d6_initial_number12216[] = {1, 3, 1, 7, 15, 21, 73, 47, 417, 29, 1231, 2477, 161, 15997, 4457, 3939, 43929, 0};
static int joe_kuo_d6_initial_number12217[] = {1, 1, 5, 5, 19, 49, 103, 251, 359, 69, 669, 299, 8161, 10579, 13999, 26859, 92199, 0};
static int joe_kuo_d6_initial_number12218[] = {1, 1, 3, 1, 9, 27, 81, 7, 115, 29, 1067, 1933, 3061, 2885, 27883, 65227, 59365, 0};
static int joe_kuo_d6_initial_number12219[] = {1, 1, 1, 5, 23, 17, 1, 113, 495, 155, 1673, 3945, 8053, 7935, 3537, 65141, 11809, 0};
static int joe_kuo_d6_initial_number12220[] = {1, 1, 1, 15, 15, 59, 61, 213, 303, 851, 1893, 615, 6659, 9351, 16621, 6097, 114383, 0};
static int joe_kuo_d6_initial_number12221[] = {1, 3, 1, 7, 19, 11, 95, 127, 277, 677, 1631, 2563, 3295, 7029, 4059, 44079, 128857, 0};
static int joe_kuo_d6_initial_number12222[] = {1, 3, 7, 11, 27, 49, 99, 43, 279, 771, 123, 2969, 699, 12915, 22039, 62257, 79359, 0};
static int joe_kuo_d6_initial_number12223[] = {1, 1, 7, 3, 19, 45, 45, 113, 251, 883, 715, 1541, 1573, 3345, 23855, 62681, 57591, 0};
static int joe_kuo_d6_initial_number12224[] = {1, 1, 5, 15, 11, 1, 51, 15, 135, 519, 961, 1447, 4425, 2139, 3309, 35111, 74143, 0};
static int joe_kuo_d6_initial_number12225[] = {1, 3, 7, 7, 17, 39, 109, 25, 11, 549, 315, 2175, 685, 11837, 9151, 6277, 45011, 0};
static int joe_kuo_d6_initial_number12226[] = {1, 1, 1, 9, 27, 7, 95, 1, 385, 167, 453, 1027, 4105, 16351, 19, 10375, 62833, 0};
static int joe_kuo_d6_initial_number12227[] = {1, 3, 7, 13, 17, 19, 107, 11, 441, 171, 185, 3567, 1245, 12161, 30257, 48105, 87105, 0};
static int joe_kuo_d6_initial_number12228[] = {1, 3, 3, 9, 15, 5, 109, 225, 85, 919, 513, 3559, 5411, 9009, 27391, 25115, 84875, 0};
static int joe_kuo_d6_initial_number12229[] = {1, 3, 3, 7, 11, 37, 81, 51, 121, 25, 1897, 2121, 6425, 16087, 4259, 29501, 118067, 0};
static int joe_kuo_d6_initial_number12230[] = {1, 1, 7, 3, 5, 53, 73, 127, 137, 739, 543, 1723, 1163, 2791, 18519, 1459, 50869, 0};
static int joe_kuo_d6_initial_number12231[] = {1, 1, 3, 11, 29, 51, 101, 189, 193, 839, 25, 3109, 3035, 3917, 23929, 38577, 129705, 0};
static int joe_kuo_d6_initial_number12232[] = {1, 3, 7, 15, 9, 29, 93, 101, 271, 791, 1257, 1843, 2701, 8205, 15195, 9109, 120835, 0};
static int joe_kuo_d6_initial_number12233[] = {1, 3, 3, 5, 29, 47, 31, 135, 483, 385, 1395, 2955, 7291, 12885, 9491, 14581, 66293, 0};
static int joe_kuo_d6_initial_number12234[] = {1, 1, 7, 1, 5, 37, 105, 149, 63, 617, 1611, 3025, 3177, 15463, 3373, 3503, 95001, 0};
static int joe_kuo_d6_initial_number12235[] = {1, 1, 5, 13, 1, 57, 19, 35, 127, 423, 1221, 1547, 4083, 347, 17131, 60087, 27437, 0};
static int joe_kuo_d6_initial_number12236[] = {1, 3, 7, 9, 25, 1, 105, 39, 25, 921, 1897, 1729, 2207, 7761, 24197, 457, 64241, 0};
static int joe_kuo_d6_initial_number12237[] = {1, 3, 7, 9, 15, 21, 13, 113, 379, 1021, 489, 1757, 5869, 4833, 24717, 52227, 3209, 0};
static int joe_kuo_d6_initial_number12238[] = {1, 3, 1, 5, 9, 61, 25, 41, 183, 473, 383, 2259, 6939, 3, 32161, 6319, 93099, 0};
static int joe_kuo_d6_initial_number12239[] = {1, 1, 5, 13, 13, 47, 97, 3, 357, 837, 1655, 485, 4251, 12153, 9013, 25121, 51877, 0};
static int joe_kuo_d6_initial_number12240[] = {1, 1, 1, 15, 7, 59, 65, 119, 467, 313, 1333, 2007, 5165, 13935, 13679, 3999, 81811, 0};
static int joe_kuo_d6_initial_number12241[] = {1, 1, 5, 13, 13, 1, 63, 117, 449, 13, 1017, 1583, 7599, 3669, 32699, 59455, 32363, 0};
static int joe_kuo_d6_initial_number12242[] = {1, 1, 7, 9, 7, 15, 37, 251, 167, 25, 1085, 2067, 2771, 5737, 20661, 19231, 59547, 0};
static int joe_kuo_d6_initial_number12243[] = {1, 1, 5, 13, 29, 11, 63, 37, 281, 657, 1567, 2879, 7601, 15617, 16527, 51695, 5583, 0};
static int joe_kuo_d6_initial_number12244[] = {1, 1, 5, 3, 31, 17, 19, 65, 315, 413, 927, 3617, 4089, 11899, 3759, 47991, 1685, 0};
static int joe_kuo_d6_initial_number12245[] = {1, 1, 1, 1, 13, 47, 89, 91, 379, 429, 283, 3765, 2923, 14955, 26399, 9579, 39817, 0};
static int joe_kuo_d6_initial_number12246[] = {1, 1, 1, 9, 1, 17, 91, 119, 327, 291, 39, 2883, 6265, 553, 7559, 60577, 34393, 0};
static int joe_kuo_d6_initial_number12247[] = {1, 3, 5, 5, 9, 33, 123, 219, 103, 529, 181, 1321, 6815, 2411, 10555, 43911, 18889, 0};
static int joe_kuo_d6_initial_number12248[] = {1, 1, 5, 7, 9, 13, 7, 45, 427, 523, 1189, 255, 2103, 7217, 16249, 14631, 90409, 0};
static int joe_kuo_d6_initial_number12249[] = {1, 1, 1, 9, 11, 35, 55, 71, 89, 637, 1417, 411, 5305, 10125, 20715, 62927, 4993, 0};
static int joe_kuo_d6_initial_number12250[] = {1, 3, 1, 9, 1, 59, 27, 221, 267, 797, 1081, 951, 1369, 2677, 20763, 63301, 61963, 0};
static int joe_kuo_d6_initial_number12251[] = {1, 3, 5, 5, 17, 9, 67, 177, 89, 953, 1329, 1649, 989, 7773, 28747, 26231, 42331, 0};
static int joe_kuo_d6_initial_number12252[] = {1, 3, 3, 9, 23, 35, 17, 145, 53, 519, 1173, 2079, 2593, 3633, 32005, 30573, 55651, 0};
static int joe_kuo_d6_initial_number12253[] = {1, 1, 7, 7, 17, 41, 47, 253, 107, 843, 9, 323, 2391, 3267, 25813, 1741, 93493, 0};
static int joe_kuo_d6_initial_number12254[] = {1, 1, 1, 9, 31, 43, 47, 91, 235, 569, 2017, 2385, 5055, 5747, 26471, 48819, 47315, 0};
static int joe_kuo_d6_initial_number12255[] = {1, 3, 5, 9, 1, 17, 87, 91, 55, 287, 995, 2577, 1151, 9119, 22791, 50899, 16423, 0};
static int joe_kuo_d6_initial_number12256[] = {1, 3, 7, 1, 3, 29, 9, 193, 269, 201, 325, 2209, 1061, 7957, 23265, 65083, 27575, 0};
static int joe_kuo_d6_initial_number12257[] = {1, 3, 7, 15, 27, 23, 37, 239, 165, 959, 1965, 2105, 1581, 6621, 17315, 49255, 62487, 0};
static int joe_kuo_d6_initial_number12258[] = {1, 3, 7, 7, 11, 31, 73, 145, 429, 421, 571, 3375, 2797, 15889, 26523, 12315, 48061, 0};
static int joe_kuo_d6_initial_number12259[] = {1, 3, 3, 15, 23, 27, 105, 75, 497, 137, 475, 1343, 537, 10499, 27807, 46623, 32435, 0};
static int joe_kuo_d6_initial_number12260[] = {1, 1, 7, 15, 15, 11, 51, 107, 225, 557, 1461, 3447, 1243, 13827, 23675, 26139, 54603, 0};
static int joe_kuo_d6_initial_number12261[] = {1, 3, 5, 5, 7, 25, 51, 3, 85, 371, 1503, 3217, 1779, 7141, 29471, 42247, 107699, 0};
static int joe_kuo_d6_initial_number12262[] = {1, 3, 7, 15, 23, 53, 127, 229, 241, 165, 1985, 1921, 5917, 15743, 18349, 23981, 58241, 0};
static int joe_kuo_d6_initial_number12263[] = {1, 1, 3, 13, 9, 63, 49, 67, 21, 57, 377, 1807, 5603, 13651, 28039, 3745, 4903, 0};
static int joe_kuo_d6_initial_number12264[] = {1, 3, 7, 11, 1, 43, 17, 95, 79, 343, 1939, 2349, 5195, 3047, 4325, 27829, 53809, 0};
static int joe_kuo_d6_initial_number12265[] = {1, 1, 5, 9, 7, 43, 111, 221, 493, 151, 1635, 3949, 6661, 4861, 17661, 61909, 4975, 0};
static int joe_kuo_d6_initial_number12266[] = {1, 3, 1, 3, 31, 47, 63, 45, 401, 153, 1139, 2125, 6639, 14093, 31607, 20645, 52245, 0};
static int joe_kuo_d6_initial_number12267[] = {1, 1, 3, 1, 19, 31, 59, 139, 285, 749, 751, 775, 7795, 14917, 30295, 61037, 12315, 0};
static int joe_kuo_d6_initial_number12268[] = {1, 3, 3, 9, 15, 55, 79, 183, 373, 663, 497, 2589, 4955, 5409, 23527, 2683, 5487, 0};
static int joe_kuo_d6_initial_number12269[] = {1, 3, 7, 11, 25, 47, 53, 225, 197, 109, 1937, 1375, 7347, 7353, 2335, 21775, 14877, 0};
static int joe_kuo_d6_initial_number12270[] = {1, 3, 1, 9, 23, 61, 51, 221, 129, 57, 115, 1031, 6793, 14773, 3331, 24951, 94761, 0};
static int joe_kuo_d6_initial_number12271[] = {1, 1, 5, 15, 31, 9, 69, 117, 295, 147, 673, 3627, 7167, 13835, 20593, 53163, 83033, 0};
static int joe_kuo_d6_initial_number12272[] = {1, 3, 7, 9, 15, 63, 111, 225, 147, 863, 691, 629, 7485, 483, 21835, 46251, 94645, 0};
static int joe_kuo_d6_initial_number12273[] = {1, 3, 3, 3, 11, 41, 23, 159, 133, 787, 1617, 629, 5047, 4465, 29051, 47499, 7211, 0};
static int joe_kuo_d6_initial_number12274[] = {1, 1, 3, 13, 21, 61, 29, 159, 73, 165, 917, 2577, 7237, 11807, 3767, 56861, 51395, 0};
static int joe_kuo_d6_initial_number12275[] = {1, 1, 5, 3, 15, 31, 37, 233, 283, 265, 1645, 3843, 1971, 4989, 26823, 15243, 74931, 0};
static int joe_kuo_d6_initial_number12276[] = {1, 3, 7, 11, 9, 51, 7, 119, 237, 905, 1211, 3041, 7641, 3387, 8373, 38961, 68925, 0};
static int joe_kuo_d6_initial_number12277[] = {1, 1, 7, 3, 17, 53, 55, 195, 57, 957, 2027, 3965, 2993, 411, 13947, 58349, 32169, 0};
static int joe_kuo_d6_initial_number12278[] = {1, 1, 7, 9, 7, 37, 55, 93, 173, 769, 1381, 3977, 5293, 5051, 21455, 45547, 64653, 0};
static int joe_kuo_d6_initial_number12279[] = {1, 3, 5, 7, 1, 41, 89, 161, 315, 361, 1675, 2993, 3281, 13043, 19003, 22129, 130379, 0};
static int joe_kuo_d6_initial_number12280[] = {1, 3, 1, 9, 13, 37, 85, 197, 465, 177, 661, 943, 541, 11117, 9751, 4193, 98291, 0};
static int joe_kuo_d6_initial_number12281[] = {1, 1, 3, 7, 21, 7, 67, 17, 41, 817, 1159, 1483, 6937, 10079, 3639, 27887, 14541, 0};
static int joe_kuo_d6_initial_number12282[] = {1, 3, 3, 15, 17, 63, 69, 215, 437, 883, 1857, 3319, 3107, 16279, 10709, 30433, 52551, 0};
static int joe_kuo_d6_initial_number12283[] = {1, 1, 3, 11, 1, 5, 69, 37, 419, 999, 1711, 875, 3807, 10811, 16345, 61155, 116043, 0};
static int joe_kuo_d6_initial_number12284[] = {1, 3, 7, 13, 17, 7, 57, 237, 81, 691, 1143, 4075, 2481, 643, 8091, 8243, 80111, 0};
static int joe_kuo_d6_initial_number12285[] = {1, 1, 7, 7, 17, 61, 73, 215, 113, 885, 159, 2243, 1177, 10981, 10123, 48995, 123349, 0};
static int joe_kuo_d6_initial_number12286[] = {1, 1, 1, 7, 31, 47, 99, 15, 371, 343, 1483, 1985, 25, 11125, 8357, 10677, 130895, 0};
static int joe_kuo_d6_initial_number12287[] = {1, 3, 1, 13, 25, 41, 83, 37, 129, 493, 641, 185, 6607, 7213, 13285, 10439, 73227, 0};
static int joe_kuo_d6_initial_number12288[] = {1, 1, 5, 7, 17, 15, 93, 53, 281, 91, 115, 3675, 3081, 9825, 23653, 40095, 91803, 0};
static int joe_kuo_d6_initial_number12289[] = {1, 1, 1, 5, 3, 25, 39, 207, 419, 361, 953, 2823, 8105, 15763, 29199, 61607, 32633, 0};
static int joe_kuo_d6_initial_number12290[] = {1, 1, 3, 1, 31, 51, 55, 3, 277, 639, 191, 1783, 139, 29, 16659, 30199, 69109, 0};
static int joe_kuo_d6_initial_number12291[] = {1, 1, 1, 7, 31, 59, 25, 13, 239, 617, 115, 1787, 5757, 9927, 2417, 37313, 115135, 0};
static int joe_kuo_d6_initial_number12292[] = {1, 1, 3, 5, 19, 35, 5, 187, 483, 823, 1875, 163, 4235, 853, 23679, 50899, 94981, 0};
static int joe_kuo_d6_initial_number12293[] = {1, 3, 3, 11, 9, 39, 121, 201, 189, 543, 1493, 1215, 351, 16063, 1701, 56559, 108053, 0};
static int joe_kuo_d6_initial_number12294[] = {1, 3, 1, 7, 1, 39, 31, 163, 347, 307, 349, 4081, 1729, 16265, 363, 28297, 50631, 0};
static int joe_kuo_d6_initial_number12295[] = {1, 3, 7, 13, 21, 55, 127, 161, 75, 9, 1285, 1839, 5283, 5667, 10979, 22185, 7581, 0};
static int joe_kuo_d6_initial_number12296[] = {1, 1, 3, 5, 13, 45, 17, 181, 117, 395, 1685, 663, 3441, 5359, 7157, 27759, 102343, 0};
static int joe_kuo_d6_initial_number12297[] = {1, 3, 1, 7, 7, 31, 97, 187, 383, 769, 1469, 4007, 5521, 13973, 49, 43823, 75649, 0};
static int joe_kuo_d6_initial_number12298[] = {1, 3, 5, 7, 31, 13, 47, 11, 335, 961, 321, 3367, 1903, 503, 8409, 1101, 58215, 0};
static int joe_kuo_d6_initial_number12299[] = {1, 1, 7, 7, 25, 49, 39, 1, 453, 419, 333, 1759, 2287, 6243, 10723, 13687, 56853, 0};
static int joe_kuo_d6_initial_number12300[] = {1, 3, 3, 7, 11, 55, 125, 197, 19, 591, 1969, 511, 2501, 8429, 29467, 27917, 63457, 0};
static int joe_kuo_d6_initial_number12301[] = {1, 1, 3, 11, 11, 43, 35, 213, 231, 119, 379, 3761, 4891, 5677, 20317, 5459, 55487, 0};
static int joe_kuo_d6_initial_number12302[] = {1, 1, 5, 7, 21, 9, 127, 59, 97, 963, 847, 2131, 7907, 11409, 8785, 48197, 96907, 0};
static int joe_kuo_d6_initial_number12303[] = {1, 3, 5, 3, 23, 7, 45, 95, 179, 691, 1571, 3091, 6359, 9105, 26021, 26925, 43, 0};
static int joe_kuo_d6_initial_number12304[] = {1, 3, 3, 7, 21, 7, 11, 219, 439, 465, 1983, 117, 4639, 8387, 27637, 15883, 5567, 0};
static int joe_kuo_d6_initial_number12305[] = {1, 1, 7, 3, 1, 3, 51, 205, 425, 133, 563, 1317, 533, 1227, 8361, 23407, 39825, 0};
static int joe_kuo_d6_initial_number12306[] = {1, 1, 5, 3, 3, 39, 19, 69, 477, 605, 3, 1887, 2077, 13673, 2763, 64415, 104519, 0};
static int joe_kuo_d6_initial_number12307[] = {1, 1, 5, 15, 11, 45, 89, 245, 177, 591, 1313, 587, 4781, 5103, 26401, 12643, 38959, 0};
static int joe_kuo_d6_initial_number12308[] = {1, 1, 1, 5, 11, 13, 15, 95, 271, 99, 2001, 2701, 6065, 3527, 7423, 37525, 117161, 0};
static int joe_kuo_d6_initial_number12309[] = {1, 3, 7, 7, 21, 17, 111, 149, 373, 591, 1461, 809, 3877, 8635, 13209, 31439, 64285, 0};
static int joe_kuo_d6_initial_number12310[] = {1, 3, 1, 15, 25, 51, 55, 161, 357, 181, 41, 2345, 3553, 9917, 30123, 40683, 122497, 0};
static int joe_kuo_d6_initial_number12311[] = {1, 3, 7, 15, 5, 55, 119, 239, 291, 665, 1537, 3309, 2519, 12397, 25897, 51529, 28673, 0};
static int joe_kuo_d6_initial_number12312[] = {1, 1, 1, 9, 25, 45, 21, 119, 19, 145, 313, 2509, 1031, 3319, 14863, 10759, 22577, 0};
static int joe_kuo_d6_initial_number12313[] = {1, 3, 1, 15, 1, 61, 87, 229, 511, 83, 79, 51, 1407, 16293, 26217, 25839, 86207, 0};
static int joe_kuo_d6_initial_number12314[] = {1, 3, 7, 7, 23, 43, 89, 11, 43, 801, 569, 3273, 315, 9537, 681, 34783, 97101, 0};
static int joe_kuo_d6_initial_number12315[] = {1, 1, 5, 1, 13, 31, 77, 115, 501, 669, 27, 3765, 6789, 9139, 30587, 45995, 102433, 0};
static int joe_kuo_d6_initial_number12316[] = {1, 1, 7, 1, 15, 21, 57, 197, 243, 353, 71, 341, 7319, 8467, 9779, 15755, 4185, 0};
static int joe_kuo_d6_initial_number12317[] = {1, 1, 1, 1, 17, 21, 3, 185, 277, 585, 265, 3189, 3975, 353, 8541, 23905, 21881, 0};
static int joe_kuo_d6_initial_number12318[] = {1, 3, 5, 3, 5, 23, 113, 253, 343, 73, 1419, 2529, 4333, 2007, 14307, 60591, 55411, 0};
static int joe_kuo_d6_initial_number12319[] = {1, 1, 7, 3, 25, 35, 109, 173, 351, 487, 1551, 3207, 1189, 5091, 3581, 4699, 22085, 0};
static int joe_kuo_d6_initial_number12320[] = {1, 1, 3, 11, 9, 9, 71, 173, 17, 595, 2015, 2543, 4889, 6025, 15265, 6459, 3977, 0};
static int joe_kuo_d6_initial_number12321[] = {1, 3, 5, 15, 11, 13, 11, 189, 431, 307, 317, 3131, 1421, 10863, 5311, 25273, 43187, 0};
static int joe_kuo_d6_initial_number12322[] = {1, 1, 1, 7, 7, 41, 103, 231, 321, 327, 1849, 2485, 6461, 10259, 4577, 52951, 33053, 0};
static int joe_kuo_d6_initial_number12323[] = {1, 3, 3, 15, 11, 33, 73, 155, 453, 597, 575, 2119, 327, 4227, 32271, 7429, 102007, 0};
static int joe_kuo_d6_initial_number12324[] = {1, 1, 3, 7, 15, 9, 95, 177, 21, 245, 257, 3637, 821, 16351, 1733, 10635, 59885, 0};
static int joe_kuo_d6_initial_number12325[] = {1, 1, 3, 7, 23, 41, 107, 147, 57, 877, 1609, 3275, 339, 12997, 5989, 62293, 21549, 0};
static int joe_kuo_d6_initial_number12326[] = {1, 1, 7, 13, 19, 39, 111, 229, 321, 487, 873, 3365, 4915, 251, 30629, 45775, 73549, 0};
static int joe_kuo_d6_initial_number12327[] = {1, 1, 1, 13, 25, 61, 43, 111, 135, 463, 1921, 1723, 7505, 13805, 30633, 51683, 7353, 0};
static int joe_kuo_d6_initial_number12328[] = {1, 1, 1, 1, 31, 41, 35, 205, 375, 189, 635, 3589, 3507, 8131, 13437, 22823, 68451, 0};
static int joe_kuo_d6_initial_number12329[] = {1, 3, 7, 5, 31, 47, 13, 229, 105, 195, 685, 529, 39, 2651, 6821, 11043, 112123, 0};
static int joe_kuo_d6_initial_number12330[] = {1, 3, 7, 13, 3, 23, 21, 203, 89, 957, 1577, 1711, 585, 3937, 17681, 55577, 61075, 0};
static int joe_kuo_d6_initial_number12331[] = {1, 3, 3, 3, 17, 37, 49, 7, 287, 183, 1185, 2979, 2103, 1217, 22105, 11677, 19603, 0};
static int joe_kuo_d6_initial_number12332[] = {1, 1, 1, 9, 29, 35, 93, 179, 403, 563, 441, 3485, 6909, 12647, 3885, 60089, 29275, 0};
static int joe_kuo_d6_initial_number12333[] = {1, 3, 3, 9, 15, 37, 49, 103, 509, 77, 495, 921, 2599, 14735, 30951, 22779, 47747, 0};
static int joe_kuo_d6_initial_number12334[] = {1, 3, 3, 11, 17, 45, 43, 235, 379, 51, 925, 89, 2241, 10273, 27649, 8101, 93977, 0};
static int joe_kuo_d6_initial_number12335[] = {1, 3, 3, 3, 11, 7, 25, 163, 405, 997, 847, 2743, 4705, 7041, 10997, 50189, 10775, 0};
static int joe_kuo_d6_initial_number12336[] = {1, 1, 1, 13, 19, 43, 3, 125, 37, 41, 5, 965, 2681, 3737, 29057, 37777, 119537, 0};
static int joe_kuo_d6_initial_number12337[] = {1, 1, 1, 1, 11, 27, 101, 67, 73, 199, 1739, 2835, 5837, 10595, 9865, 38493, 99323, 0};
static int joe_kuo_d6_initial_number12338[] = {1, 3, 1, 13, 27, 43, 21, 79, 419, 847, 843, 2563, 8133, 10295, 10127, 30839, 104863, 0};
static int joe_kuo_d6_initial_number12339[] = {1, 3, 3, 11, 15, 37, 71, 251, 157, 971, 165, 1647, 2583, 205, 23555, 55297, 106893, 0};
static int joe_kuo_d6_initial_number12340[] = {1, 1, 5, 15, 1, 21, 113, 107, 287, 727, 71, 2655, 1435, 11125, 15257, 18899, 37737, 0};
static int joe_kuo_d6_initial_number12341[] = {1, 1, 3, 3, 27, 49, 17, 85, 57, 237, 349, 4049, 1103, 2523, 3919, 36587, 128595, 0};
static int joe_kuo_d6_initial_number12342[] = {1, 3, 5, 9, 13, 1, 65, 13, 361, 409, 413, 2153, 5953, 10651, 25383, 49777, 65399, 0};
static int joe_kuo_d6_initial_number12343[] = {1, 1, 7, 9, 19, 47, 69, 127, 121, 925, 57, 2775, 4981, 3643, 4077, 3081, 56093, 0};
static int joe_kuo_d6_initial_number12344[] = {1, 3, 3, 13, 1, 53, 45, 13, 489, 445, 623, 3547, 1659, 1899, 11971, 3725, 12445, 0};
static int joe_kuo_d6_initial_number12345[] = {1, 3, 7, 11, 13, 9, 59, 157, 125, 975, 1283, 297, 3609, 3179, 31341, 54727, 112515, 0};
static int joe_kuo_d6_initial_number12346[] = {1, 1, 1, 13, 23, 63, 69, 249, 159, 593, 47, 3957, 757, 14693, 26345, 18839, 111263, 0};
static int joe_kuo_d6_initial_number12347[] = {1, 1, 1, 1, 31, 37, 37, 199, 7, 425, 337, 1475, 271, 16215, 12089, 16765, 13519, 0};
static int joe_kuo_d6_initial_number12348[] = {1, 1, 7, 11, 31, 59, 121, 139, 413, 807, 737, 1235, 3505, 5859, 14205, 31939, 4713, 0};
static int joe_kuo_d6_initial_number12349[] = {1, 1, 1, 9, 21, 51, 113, 159, 345, 807, 635, 523, 5535, 13307, 4239, 14847, 23711, 0};
static int joe_kuo_d6_initial_number12350[] = {1, 3, 5, 13, 31, 7, 33, 1, 293, 271, 1829, 2535, 6333, 12037, 29401, 35009, 37789, 0};
static int joe_kuo_d6_initial_number12351[] = {1, 1, 7, 3, 7, 57, 31, 45, 177, 475, 843, 1265, 585, 16099, 29293, 52407, 56131, 0};
static int joe_kuo_d6_initial_number12352[] = {1, 3, 3, 11, 1, 25, 117, 205, 139, 141, 1229, 903, 1883, 11269, 30493, 3979, 4263, 0};
static int joe_kuo_d6_initial_number12353[] = {1, 1, 5, 13, 25, 43, 9, 237, 347, 869, 1765, 1389, 1931, 13331, 17325, 45999, 121201, 0};
static int joe_kuo_d6_initial_number12354[] = {1, 3, 3, 11, 3, 13, 95, 49, 389, 53, 491, 1467, 5105, 16053, 6305, 15759, 51991, 0};
static int joe_kuo_d6_initial_number12355[] = {1, 3, 5, 15, 1, 53, 85, 69, 75, 409, 1299, 1245, 7951, 10709, 9157, 3509, 103975, 0};
static int joe_kuo_d6_initial_number12356[] = {1, 1, 1, 13, 1, 33, 97, 235, 463, 413, 1759, 1891, 1781, 5261, 5759, 201, 69199, 0};
static int joe_kuo_d6_initial_number12357[] = {1, 1, 3, 13, 21, 27, 101, 143, 123, 705, 969, 2461, 6057, 13091, 6077, 38311, 30379, 0};
static int joe_kuo_d6_initial_number12358[] = {1, 3, 3, 1, 13, 11, 73, 33, 495, 513, 763, 3089, 421, 13663, 30169, 56599, 38847, 0};
static int joe_kuo_d6_initial_number12359[] = {1, 1, 7, 13, 13, 31, 91, 63, 233, 137, 859, 2449, 539, 12461, 13477, 31605, 58919, 0};
static int joe_kuo_d6_initial_number12360[] = {1, 1, 1, 9, 13, 49, 107, 45, 451, 707, 1735, 1881, 3451, 9131, 25481, 10841, 116067, 0};
static int joe_kuo_d6_initial_number12361[] = {1, 3, 7, 1, 27, 21, 51, 117, 63, 53, 575, 3325, 1099, 11181, 23609, 47141, 115421, 0};
static int joe_kuo_d6_initial_number12362[] = {1, 3, 1, 13, 25, 29, 53, 135, 165, 319, 1695, 341, 8157, 10671, 7095, 60749, 31513, 0};
static int joe_kuo_d6_initial_number12363[] = {1, 1, 7, 5, 3, 53, 123, 137, 449, 87, 951, 693, 6943, 15331, 1515, 24019, 56613, 0};
static int joe_kuo_d6_initial_number12364[] = {1, 3, 7, 5, 25, 17, 43, 251, 301, 203, 633, 1271, 6253, 4475, 10773, 25003, 67599, 0};
static int joe_kuo_d6_initial_number12365[] = {1, 1, 3, 9, 1, 25, 117, 159, 13, 155, 851, 2497, 6155, 6549, 27909, 24423, 82357, 0};
static int joe_kuo_d6_initial_number12366[] = {1, 1, 1, 1, 21, 59, 103, 43, 291, 111, 1355, 401, 5129, 16017, 25947, 15391, 46745, 0};
static int joe_kuo_d6_initial_number12367[] = {1, 1, 1, 13, 13, 51, 95, 111, 17, 963, 1535, 3003, 6163, 11377, 6787, 57275, 109559, 0};
static int joe_kuo_d6_initial_number12368[] = {1, 1, 5, 11, 11, 3, 85, 207, 489, 117, 269, 747, 5719, 8501, 7307, 59223, 18941, 0};
static int joe_kuo_d6_initial_number12369[] = {1, 1, 5, 1, 9, 53, 41, 255, 271, 995, 1939, 2739, 2221, 14841, 22617, 10643, 6427, 0};
static int joe_kuo_d6_initial_number12370[] = {1, 3, 3, 9, 7, 55, 109, 143, 427, 45, 579, 115, 2061, 8447, 29469, 5523, 129063, 0};
static int joe_kuo_d6_initial_number12371[] = {1, 3, 7, 5, 23, 63, 119, 31, 53, 821, 135, 2677, 807, 4685, 24391, 55165, 88079, 0};
static int joe_kuo_d6_initial_number12372[] = {1, 3, 5, 9, 15, 11, 73, 177, 243, 375, 115, 1633, 7983, 15039, 21169, 25325, 128479, 0};
static int joe_kuo_d6_initial_number12373[] = {1, 3, 3, 5, 21, 51, 13, 51, 75, 993, 77, 209, 2761, 451, 11987, 40297, 2383, 0};
static int joe_kuo_d6_initial_number12374[] = {1, 3, 7, 1, 19, 9, 11, 161, 19, 851, 1313, 1169, 4405, 7493, 23935, 37323, 107387, 0};
static int joe_kuo_d6_initial_number12375[] = {1, 3, 5, 15, 5, 11, 79, 129, 507, 247, 811, 1145, 3893, 5205, 11309, 38205, 2051, 0};
static int joe_kuo_d6_initial_number12376[] = {1, 1, 5, 1, 11, 13, 33, 155, 21, 185, 771, 3261, 981, 743, 12479, 22611, 25321, 0};
static int joe_kuo_d6_initial_number12377[] = {1, 1, 5, 9, 7, 25, 11, 235, 429, 563, 1647, 1429, 1385, 14411, 3831, 19769, 67599, 0};
static int joe_kuo_d6_initial_number12378[] = {1, 3, 3, 5, 5, 7, 109, 117, 251, 823, 669, 2043, 1843, 11829, 27051, 35865, 11461, 0};
static int joe_kuo_d6_initial_number12379[] = {1, 3, 5, 5, 7, 3, 45, 63, 305, 99, 393, 1765, 1711, 15569, 27295, 16555, 77631, 0};
static int joe_kuo_d6_initial_number12380[] = {1, 3, 5, 11, 23, 33, 49, 125, 85, 677, 1589, 2667, 5723, 15619, 30415, 39561, 122763, 0};
static int joe_kuo_d6_initial_number12381[] = {1, 3, 7, 13, 27, 21, 99, 209, 481, 123, 1285, 115, 6517, 11753, 11365, 44959, 89, 0};
static int joe_kuo_d6_initial_number12382[] = {1, 1, 1, 7, 15, 15, 45, 151, 489, 169, 933, 2987, 657, 3095, 6745, 131, 37767, 0};
static int joe_kuo_d6_initial_number12383[] = {1, 3, 1, 15, 1, 37, 99, 137, 151, 891, 715, 383, 1293, 719, 10957, 5557, 92841, 0};
static int joe_kuo_d6_initial_number12384[] = {1, 1, 1, 3, 27, 59, 93, 49, 473, 313, 431, 1129, 5995, 13101, 13185, 7091, 109677, 0};
static int joe_kuo_d6_initial_number12385[] = {1, 3, 3, 7, 1, 41, 55, 135, 271, 527, 1919, 1093, 2579, 3725, 22853, 31613, 4729, 0};
static int joe_kuo_d6_initial_number12386[] = {1, 1, 7, 1, 7, 13, 63, 255, 219, 837, 117, 2323, 4295, 15697, 8607, 47047, 117869, 0};
static int joe_kuo_d6_initial_number12387[] = {1, 1, 1, 7, 29, 29, 55, 171, 437, 733, 491, 1037, 7221, 5705, 31819, 19583, 103991, 0};
static int joe_kuo_d6_initial_number12388[] = {1, 3, 7, 1, 31, 19, 65, 39, 151, 517, 1985, 2251, 6147, 12983, 28263, 35891, 7545, 0};
static int joe_kuo_d6_initial_number12389[] = {1, 1, 7, 7, 21, 41, 97, 253, 427, 391, 849, 611, 4827, 10807, 6267, 22513, 62803, 0};
static int joe_kuo_d6_initial_number12390[] = {1, 3, 7, 7, 25, 9, 49, 245, 491, 39, 603, 1853, 5655, 3517, 10745, 55069, 121497, 0};
static int joe_kuo_d6_initial_number12391[] = {1, 3, 1, 5, 9, 39, 109, 195, 283, 141, 2007, 3, 1267, 13053, 8387, 48665, 48877, 0};
static int joe_kuo_d6_initial_number12392[] = {1, 1, 3, 7, 27, 61, 49, 43, 229, 497, 2015, 1345, 3195, 7139, 13453, 56993, 15099, 0};
static int joe_kuo_d6_initial_number12393[] = {1, 3, 5, 11, 31, 53, 87, 97, 385, 387, 1107, 3287, 2517, 7421, 1007, 37421, 124113, 0};
static int joe_kuo_d6_initial_number12394[] = {1, 3, 3, 11, 9, 55, 51, 215, 181, 419, 863, 3149, 5815, 15579, 28527, 34715, 61375, 0};
static int joe_kuo_d6_initial_number12395[] = {1, 3, 3, 3, 31, 57, 5, 35, 445, 957, 1897, 105, 2533, 10255, 19795, 49127, 38491, 0};
static int joe_kuo_d6_initial_number12396[] = {1, 3, 3, 13, 25, 53, 1, 159, 443, 541, 439, 3377, 5511, 9667, 26777, 32599, 36981, 0};
static int joe_kuo_d6_initial_number12397[] = {1, 1, 1, 3, 23, 29, 97, 131, 59, 143, 1601, 2765, 4569, 11081, 6027, 38641, 100745, 0};
static int joe_kuo_d6_initial_number12398[] = {1, 3, 3, 15, 9, 15, 19, 35, 321, 935, 465, 2707, 4799, 7455, 12743, 31029, 114149, 0};
static int joe_kuo_d6_initial_number12399[] = {1, 1, 1, 1, 11, 51, 23, 79, 387, 701, 107, 623, 231, 12571, 7719, 3061, 79605, 0};
static int joe_kuo_d6_initial_number12400[] = {1, 3, 5, 15, 17, 49, 109, 83, 185, 295, 853, 219, 3615, 535, 32001, 6655, 4185, 0};
static int joe_kuo_d6_initial_number12401[] = {1, 3, 3, 15, 15, 7, 35, 151, 305, 705, 1383, 1595, 5595, 11995, 15491, 49119, 83383, 0};
static int joe_kuo_d6_initial_number12402[] = {1, 3, 7, 9, 3, 25, 57, 47, 359, 719, 1937, 1403, 1399, 10827, 24181, 29141, 79017, 0};
static int joe_kuo_d6_initial_number12403[] = {1, 3, 5, 1, 1, 21, 21, 245, 361, 485, 1521, 3935, 1587, 8653, 25871, 49449, 103413, 0};
static int joe_kuo_d6_initial_number12404[] = {1, 3, 3, 3, 9, 61, 31, 69, 401, 261, 1217, 3069, 4045, 12437, 32017, 15113, 10769, 0};
static int joe_kuo_d6_initial_number12405[] = {1, 3, 1, 1, 21, 33, 123, 87, 481, 793, 625, 4087, 1361, 11077, 18835, 13287, 40107, 0};
static int joe_kuo_d6_initial_number12406[] = {1, 3, 7, 3, 9, 49, 101, 213, 467, 77, 1691, 2621, 4411, 8025, 30247, 13691, 20559, 0};
static int joe_kuo_d6_initial_number12407[] = {1, 1, 1, 9, 29, 49, 47, 135, 1, 337, 1649, 389, 3845, 7213, 19527, 2619, 78841, 0};
static int joe_kuo_d6_initial_number12408[] = {1, 3, 7, 9, 23, 23, 47, 97, 493, 767, 137, 1467, 7015, 2883, 12749, 9267, 12441, 0};
static int joe_kuo_d6_initial_number12409[] = {1, 1, 3, 15, 9, 57, 53, 19, 401, 385, 1159, 1185, 6977, 14027, 3183, 59119, 42065, 0};
static int joe_kuo_d6_initial_number12410[] = {1, 1, 1, 15, 21, 33, 83, 251, 147, 395, 321, 443, 6893, 1877, 6687, 28863, 86531, 0};
static int joe_kuo_d6_initial_number12411[] = {1, 3, 3, 1, 3, 47, 27, 247, 121, 827, 1399, 4079, 7545, 11691, 27915, 28811, 17099, 0};
static int joe_kuo_d6_initial_number12412[] = {1, 3, 5, 7, 5, 59, 73, 69, 117, 897, 905, 3273, 2935, 11077, 32443, 60959, 16081, 0};
static int joe_kuo_d6_initial_number12413[] = {1, 1, 7, 5, 27, 49, 107, 169, 75, 435, 1913, 2089, 5733, 2361, 5163, 52239, 87411, 0};
static int joe_kuo_d6_initial_number12414[] = {1, 1, 7, 13, 1, 13, 123, 89, 427, 301, 1217, 1491, 5361, 10381, 28971, 57655, 108607, 0};
static int joe_kuo_d6_initial_number12415[] = {1, 1, 7, 11, 13, 5, 23, 151, 117, 369, 623, 2263, 2609, 109, 32485, 52133, 69391, 0};
static int joe_kuo_d6_initial_number12416[] = {1, 3, 7, 11, 7, 33, 127, 43, 123, 203, 775, 3215, 5115, 1805, 14581, 46791, 128781, 0};
static int joe_kuo_d6_initial_number12417[] = {1, 3, 3, 1, 7, 23, 37, 99, 1, 719, 293, 2727, 6859, 683, 13241, 17839, 4215, 0};
static int joe_kuo_d6_initial_number12418[] = {1, 1, 1, 13, 27, 41, 93, 25, 59, 947, 971, 1523, 4443, 1209, 32317, 58651, 11121, 0};
static int joe_kuo_d6_initial_number12419[] = {1, 1, 1, 3, 31, 33, 23, 87, 349, 265, 445, 3489, 783, 7833, 5767, 59295, 45057, 0};
static int joe_kuo_d6_initial_number12420[] = {1, 1, 1, 1, 15, 47, 19, 15, 217, 837, 2043, 2805, 4701, 5873, 1517, 46743, 61655, 0};
static int joe_kuo_d6_initial_number12421[] = {1, 3, 7, 1, 27, 27, 9, 107, 25, 897, 955, 3763, 821, 1535, 14557, 38537, 128737, 0};
static int joe_kuo_d6_initial_number12422[] = {1, 3, 3, 7, 19, 49, 121, 217, 401, 975, 1189, 715, 3113, 4219, 4885, 57861, 6833, 0};
static int joe_kuo_d6_initial_number12423[] = {1, 3, 3, 1, 17, 59, 53, 15, 259, 791, 2035, 499, 7707, 13685, 14367, 20155, 91033, 0};
static int joe_kuo_d6_initial_number12424[] = {1, 3, 5, 5, 11, 11, 69, 237, 139, 73, 541, 1135, 2647, 14109, 18113, 8051, 31917, 0};
static int joe_kuo_d6_initial_number12425[] = {1, 1, 1, 15, 11, 23, 89, 181, 295, 743, 29, 4009, 4683, 13989, 4575, 38865, 30449, 0};
static int joe_kuo_d6_initial_number12426[] = {1, 1, 1, 11, 21, 63, 31, 121, 55, 153, 1143, 4059, 3247, 11725, 17659, 48935, 118369, 0};
static int joe_kuo_d6_initial_number12427[] = {1, 1, 7, 9, 17, 29, 27, 167, 69, 957, 2009, 2795, 3161, 3493, 16365, 43637, 102321, 0};
static int joe_kuo_d6_initial_number12428[] = {1, 3, 5, 13, 27, 23, 17, 7, 345, 253, 631, 1389, 2523, 9993, 32619, 46731, 4757, 0};
static int joe_kuo_d6_initial_number12429[] = {1, 1, 1, 11, 17, 1, 41, 107, 25, 183, 1361, 1211, 3607, 12713, 16011, 42987, 36415, 0};
static int joe_kuo_d6_initial_number12430[] = {1, 1, 7, 5, 13, 29, 33, 69, 261, 213, 73, 3737, 3867, 503, 28225, 53735, 91695, 0};
static int joe_kuo_d6_initial_number12431[] = {1, 3, 7, 7, 21, 63, 75, 39, 259, 367, 487, 2087, 5411, 1925, 29589, 39019, 73283, 0};
static int joe_kuo_d6_initial_number12432[] = {1, 3, 1, 7, 29, 29, 25, 191, 91, 509, 1485, 853, 7011, 13321, 27769, 10249, 87341, 0};
static int joe_kuo_d6_initial_number12433[] = {1, 1, 7, 7, 1, 9, 115, 71, 321, 913, 1679, 2129, 771, 9217, 4731, 24353, 35631, 0};
static int joe_kuo_d6_initial_number12434[] = {1, 3, 1, 13, 5, 45, 53, 255, 429, 805, 1983, 1437, 2677, 6337, 22221, 55455, 39855, 0};
static int joe_kuo_d6_initial_number12435[] = {1, 1, 1, 1, 1, 5, 111, 231, 321, 961, 371, 3825, 3623, 3985, 32151, 6113, 130687, 0};
static int joe_kuo_d6_initial_number12436[] = {1, 3, 7, 3, 15, 29, 103, 181, 261, 149, 1161, 1745, 1765, 1677, 20051, 47033, 84997, 0};
static int joe_kuo_d6_initial_number12437[] = {1, 3, 7, 1, 25, 21, 7, 229, 407, 673, 1525, 1207, 3099, 14849, 22103, 45695, 85951, 0};
static int joe_kuo_d6_initial_number12438[] = {1, 3, 7, 1, 9, 5, 105, 149, 181, 81, 1589, 3477, 5387, 7943, 29203, 50355, 39001, 0};
static int joe_kuo_d6_initial_number12439[] = {1, 3, 7, 1, 21, 31, 39, 121, 397, 1023, 711, 623, 6193, 12315, 11101, 11911, 50033, 0};
static int joe_kuo_d6_initial_number12440[] = {1, 3, 7, 3, 7, 19, 73, 69, 201, 337, 1037, 3663, 2679, 5153, 28171, 24455, 74685, 0};
static int joe_kuo_d6_initial_number12441[] = {1, 3, 1, 1, 21, 35, 121, 111, 217, 809, 507, 1347, 4439, 4601, 26371, 23595, 3583, 0};
static int joe_kuo_d6_initial_number12442[] = {1, 3, 3, 7, 1, 51, 83, 231, 419, 597, 305, 3405, 5831, 11845, 1861, 48671, 105315, 0};
static int joe_kuo_d6_initial_number12443[] = {1, 3, 1, 15, 25, 37, 103, 141, 495, 727, 1919, 2821, 4689, 6727, 27117, 2259, 54559, 0};
static int joe_kuo_d6_initial_number12444[] = {1, 3, 5, 3, 27, 55, 5, 117, 199, 979, 1745, 401, 7967, 5345, 29747, 54085, 124765, 0};
static int joe_kuo_d6_initial_number12445[] = {1, 3, 3, 15, 23, 61, 1, 29, 489, 131, 583, 389, 6033, 8007, 22933, 44513, 111845, 0};
static int joe_kuo_d6_initial_number12446[] = {1, 1, 7, 13, 3, 55, 119, 147, 181, 485, 793, 3593, 6971, 2227, 28507, 62393, 127303, 0};
static int joe_kuo_d6_initial_number12447[] = {1, 1, 5, 3, 29, 53, 37, 59, 213, 283, 1809, 3685, 2677, 5761, 19705, 47079, 3477, 0};
static int joe_kuo_d6_initial_number12448[] = {1, 1, 1, 7, 21, 63, 91, 13, 347, 605, 589, 415, 5737, 10281, 30941, 25609, 67973, 0};
static int joe_kuo_d6_initial_number12449[] = {1, 1, 3, 1, 27, 49, 87, 161, 507, 693, 59, 1375, 6737, 1029, 14731, 32335, 51961, 0};
static int joe_kuo_d6_initial_number12450[] = {1, 3, 3, 9, 11, 15, 121, 121, 151, 335, 221, 3099, 1999, 1047, 20891, 23015, 95809, 0};
static int joe_kuo_d6_initial_number12451[] = {1, 1, 7, 7, 1, 49, 63, 227, 113, 161, 863, 801, 2559, 7737, 27619, 27419, 128009, 0};
static int joe_kuo_d6_initial_number12452[] = {1, 1, 7, 1, 25, 59, 67, 111, 435, 309, 807, 2107, 8077, 9671, 6739, 53757, 41259, 0};
static int joe_kuo_d6_initial_number12453[] = {1, 3, 7, 3, 3, 19, 7, 111, 237, 981, 1717, 3131, 6631, 467, 13103, 61435, 126469, 0};
static int joe_kuo_d6_initial_number12454[] = {1, 1, 7, 9, 19, 31, 59, 185, 199, 111, 351, 611, 6355, 1095, 28549, 32871, 44537, 0};
static int joe_kuo_d6_initial_number12455[] = {1, 1, 3, 11, 23, 25, 31, 1, 461, 83, 1723, 1711, 3679, 10963, 14927, 17377, 911, 0};
static int joe_kuo_d6_initial_number12456[] = {1, 1, 5, 13, 3, 37, 127, 159, 199, 223, 1097, 3033, 5825, 13777, 22189, 44305, 20509, 0};
static int joe_kuo_d6_initial_number12457[] = {1, 1, 5, 15, 13, 49, 17, 79, 289, 601, 1023, 657, 1687, 14477, 15929, 4279, 68007, 0};
static int joe_kuo_d6_initial_number12458[] = {1, 1, 5, 7, 29, 3, 45, 225, 65, 711, 1039, 3585, 4957, 9041, 22761, 26649, 95627, 0};
static int joe_kuo_d6_initial_number12459[] = {1, 3, 5, 5, 13, 29, 33, 211, 461, 799, 1437, 1057, 485, 9535, 8133, 57527, 12873, 0};
static int joe_kuo_d6_initial_number12460[] = {1, 1, 3, 3, 15, 43, 53, 15, 395, 561, 1371, 3543, 7707, 2399, 13311, 25641, 58865, 0};
static int joe_kuo_d6_initial_number12461[] = {1, 3, 1, 7, 1, 9, 115, 39, 249, 87, 835, 97, 8137, 6665, 11951, 21045, 76387, 0};
static int joe_kuo_d6_initial_number12462[] = {1, 3, 3, 9, 5, 63, 115, 163, 331, 1007, 733, 4027, 2911, 5329, 6967, 3535, 107293, 0};
static int joe_kuo_d6_initial_number12463[] = {1, 3, 1, 11, 5, 55, 81, 63, 345, 535, 1093, 207, 4053, 9129, 10397, 26641, 95171, 0};
static int joe_kuo_d6_initial_number12464[] = {1, 1, 3, 3, 13, 27, 65, 37, 255, 69, 19, 2565, 4329, 11223, 18131, 18701, 31111, 0};
static int joe_kuo_d6_initial_number12465[] = {1, 3, 7, 7, 25, 57, 81, 189, 227, 377, 829, 1583, 1343, 4643, 23485, 47463, 83535, 0};
static int joe_kuo_d6_initial_number12466[] = {1, 3, 5, 9, 13, 33, 103, 75, 501, 803, 427, 1171, 1187, 2655, 24187, 32907, 120239, 0};
static int joe_kuo_d6_initial_number12467[] = {1, 3, 1, 7, 31, 63, 21, 137, 241, 63, 1925, 2193, 1135, 11159, 14685, 28397, 59, 0};
static int joe_kuo_d6_initial_number12468[] = {1, 1, 7, 1, 15, 7, 85, 87, 493, 63, 561, 1069, 5481, 12253, 25149, 35283, 16123, 0};
static int joe_kuo_d6_initial_number12469[] = {1, 3, 3, 5, 19, 17, 23, 95, 429, 805, 1343, 2243, 233, 7219, 6549, 21477, 83679, 0};
static int joe_kuo_d6_initial_number12470[] = {1, 3, 3, 1, 3, 55, 83, 107, 131, 311, 741, 781, 6227, 10059, 3903, 235, 45971, 0};
static int joe_kuo_d6_initial_number12471[] = {1, 1, 3, 13, 21, 43, 79, 149, 367, 755, 463, 221, 5117, 7015, 17599, 64665, 37443, 0};
static int joe_kuo_d6_initial_number12472[] = {1, 1, 7, 15, 3, 59, 107, 13, 213, 287, 1505, 2131, 6965, 12873, 23973, 8449, 24829, 0};
static int joe_kuo_d6_initial_number12473[] = {1, 3, 5, 11, 25, 45, 39, 17, 175, 749, 1179, 3349, 6723, 12543, 3557, 34521, 103197, 0};
static int joe_kuo_d6_initial_number12474[] = {1, 1, 3, 13, 23, 41, 21, 25, 91, 941, 879, 4015, 137, 12949, 17245, 41903, 39803, 0};
static int joe_kuo_d6_initial_number12475[] = {1, 1, 7, 15, 11, 33, 45, 127, 321, 895, 1543, 4013, 6179, 14209, 13317, 46803, 99891, 0};
static int joe_kuo_d6_initial_number12476[] = {1, 3, 3, 13, 13, 11, 101, 11, 177, 869, 509, 2323, 449, 16379, 31965, 2899, 59229, 0};
static int joe_kuo_d6_initial_number12477[] = {1, 1, 5, 7, 15, 37, 113, 237, 463, 489, 1145, 1629, 3101, 10305, 31705, 29957, 99665, 0};
static int joe_kuo_d6_initial_number12478[] = {1, 3, 5, 7, 21, 29, 45, 133, 367, 657, 1315, 537, 6069, 8141, 31479, 32983, 57, 0};
static int joe_kuo_d6_initial_number12479[] = {1, 1, 3, 9, 13, 39, 109, 125, 467, 975, 829, 4007, 773, 6639, 8793, 4579, 60547, 0};
static int joe_kuo_d6_initial_number12480[] = {1, 1, 1, 15, 21, 5, 113, 51, 159, 501, 1921, 4095, 5603, 16055, 16649, 50229, 49863, 0};
static int joe_kuo_d6_initial_number12481[] = {1, 1, 5, 13, 9, 21, 77, 187, 355, 299, 1017, 491, 6725, 4177, 16739, 15909, 84069, 0};
static int joe_kuo_d6_initial_number12482[] = {1, 3, 7, 5, 13, 13, 51, 19, 159, 339, 735, 933, 2523, 11435, 20793, 21975, 19007, 0};
static int joe_kuo_d6_initial_number12483[] = {1, 1, 7, 5, 1, 11, 61, 111, 129, 643, 1741, 945, 7349, 11579, 24793, 1751, 2367, 0};
static int joe_kuo_d6_initial_number12484[] = {1, 1, 5, 5, 29, 45, 63, 177, 507, 277, 1789, 729, 4277, 10099, 28985, 43009, 2319, 0};
static int joe_kuo_d6_initial_number12485[] = {1, 3, 3, 13, 19, 53, 73, 227, 487, 131, 1227, 3735, 3979, 7383, 6923, 31979, 6651, 0};
static int joe_kuo_d6_initial_number12486[] = {1, 3, 3, 15, 7, 47, 31, 255, 317, 621, 497, 4069, 5249, 15093, 18013, 6891, 81893, 0};
static int joe_kuo_d6_initial_number12487[] = {1, 1, 7, 5, 17, 23, 119, 27, 55, 555, 221, 2693, 1757, 11117, 23409, 21135, 122977, 0};
static int joe_kuo_d6_initial_number12488[] = {1, 1, 5, 1, 15, 17, 127, 109, 75, 1017, 1167, 2975, 3249, 5399, 12599, 50779, 78215, 0};
static int joe_kuo_d6_initial_number12489[] = {1, 3, 5, 5, 1, 13, 65, 199, 101, 75, 513, 493, 6931, 9363, 5607, 16331, 69219, 0};
static int joe_kuo_d6_initial_number12490[] = {1, 1, 1, 15, 19, 37, 63, 177, 397, 645, 905, 1599, 609, 14291, 14681, 46719, 117745, 0};
static int joe_kuo_d6_initial_number12491[] = {1, 3, 7, 13, 3, 57, 63, 49, 67, 913, 1659, 1857, 3595, 9219, 11341, 39735, 82275, 0};
static int joe_kuo_d6_initial_number12492[] = {1, 1, 5, 11, 19, 1, 5, 181, 55, 763, 469, 2417, 2349, 12437, 22589, 17867, 95701, 0};
static int joe_kuo_d6_initial_number12493[] = {1, 3, 7, 13, 1, 9, 11, 159, 103, 737, 1989, 59, 4711, 8093, 31703, 45663, 92913, 0};
static int joe_kuo_d6_initial_number12494[] = {1, 3, 3, 11, 15, 9, 35, 217, 299, 479, 1539, 2605, 2003, 8841, 27261, 28853, 98877, 0};
static int joe_kuo_d6_initial_number12495[] = {1, 1, 5, 5, 15, 45, 73, 159, 205, 1017, 159, 3659, 2377, 3651, 6489, 19711, 109959, 0};
static int joe_kuo_d6_initial_number12496[] = {1, 1, 3, 15, 7, 41, 7, 47, 357, 433, 211, 111, 2565, 8637, 15917, 47887, 128513, 0};
static int joe_kuo_d6_initial_number12497[] = {1, 3, 7, 3, 25, 9, 33, 33, 5, 805, 1541, 3333, 7257, 9011, 4813, 53195, 52469, 0};
static int joe_kuo_d6_initial_number12498[] = {1, 1, 7, 15, 27, 3, 11, 57, 415, 371, 563, 2515, 149, 6555, 31273, 51465, 2989, 0};
static int joe_kuo_d6_initial_number12499[] = {1, 1, 1, 11, 3, 41, 25, 175, 499, 879, 1145, 1083, 7857, 10497, 16991, 23351, 115353, 0};
static int joe_kuo_d6_initial_number12500[] = {1, 1, 3, 15, 15, 9, 39, 239, 285, 413, 989, 2927, 7205, 79, 20101, 30115, 113933, 0};
static int joe_kuo_d6_initial_number12501[] = {1, 1, 7, 5, 13, 29, 29, 69, 25, 533, 1731, 1391, 4065, 12597, 19167, 51989, 101273, 0};
static int joe_kuo_d6_initial_number12502[] = {1, 1, 5, 3, 9, 41, 83, 127, 197, 627, 173, 273, 593, 15733, 19285, 26517, 107877, 0};
static int joe_kuo_d6_initial_number12503[] = {1, 1, 1, 5, 29, 17, 89, 163, 125, 473, 1577, 2435, 3379, 3057, 1829, 64325, 111719, 0};
static int joe_kuo_d6_initial_number12504[] = {1, 3, 1, 11, 1, 29, 97, 53, 421, 941, 1737, 3337, 2715, 1633, 28485, 30369, 116047, 0};
static int joe_kuo_d6_initial_number12505[] = {1, 1, 5, 13, 25, 43, 39, 85, 385, 129, 819, 1647, 3527, 12319, 573, 58703, 29463, 0};
static int joe_kuo_d6_initial_number12506[] = {1, 3, 3, 9, 23, 59, 31, 215, 49, 451, 645, 3687, 4507, 9359, 28161, 34609, 123409, 0};
static int joe_kuo_d6_initial_number12507[] = {1, 3, 1, 9, 13, 25, 97, 239, 203, 31, 1465, 1089, 7665, 3007, 22465, 28389, 119869, 0};
static int joe_kuo_d6_initial_number12508[] = {1, 3, 3, 1, 29, 51, 19, 83, 443, 193, 647, 3125, 7269, 3031, 9967, 40447, 102179, 0};
static int joe_kuo_d6_initial_number12509[] = {1, 3, 5, 15, 5, 63, 125, 55, 295, 787, 559, 3309, 7491, 9907, 5775, 15155, 41793, 0};
static int joe_kuo_d6_initial_number12510[] = {1, 3, 7, 7, 21, 61, 125, 207, 43, 159, 539, 435, 1945, 725, 797, 47489, 43099, 0};
static int joe_kuo_d6_initial_number12511[] = {1, 1, 5, 7, 11, 11, 61, 103, 23, 693, 493, 1045, 4435, 9009, 22075, 24839, 125431, 0};
static int joe_kuo_d6_initial_number12512[] = {1, 3, 1, 9, 13, 61, 83, 181, 373, 949, 1397, 247, 5079, 10933, 31887, 14147, 55121, 0};
static int joe_kuo_d6_initial_number12513[] = {1, 1, 7, 15, 31, 47, 87, 219, 357, 409, 943, 2993, 7615, 7071, 14179, 41489, 104401, 0};
static int joe_kuo_d6_initial_number12514[] = {1, 3, 3, 1, 11, 15, 87, 241, 389, 761, 1523, 3049, 2111, 11581, 5493, 11301, 32017, 0};
static int joe_kuo_d6_initial_number12515[] = {1, 1, 7, 11, 29, 39, 37, 63, 411, 671, 1789, 3541, 5651, 11721, 10871, 53867, 112895, 0};
static int joe_kuo_d6_initial_number12516[] = {1, 3, 3, 1, 23, 21, 99, 161, 467, 197, 1263, 451, 5469, 7667, 22139, 31599, 8345, 0};
static int joe_kuo_d6_initial_number12517[] = {1, 3, 1, 3, 11, 41, 13, 79, 3, 377, 1865, 2297, 1383, 14033, 17141, 24787, 127911, 0};
static int joe_kuo_d6_initial_number12518[] = {1, 1, 1, 1, 5, 11, 5, 181, 323, 853, 831, 1599, 3939, 6391, 22817, 37969, 9997, 0};
static int joe_kuo_d6_initial_number12519[] = {1, 1, 3, 11, 29, 61, 11, 171, 181, 631, 757, 3879, 4779, 16183, 5969, 7909, 42855, 0};
static int joe_kuo_d6_initial_number12520[] = {1, 3, 3, 15, 19, 17, 107, 187, 19, 743, 909, 1963, 2131, 2107, 659, 35829, 57905, 0};
static int joe_kuo_d6_initial_number12521[] = {1, 1, 7, 1, 31, 29, 67, 99, 353, 715, 65, 3907, 1931, 1289, 9217, 60635, 32737, 0};
static int joe_kuo_d6_initial_number12522[] = {1, 3, 3, 13, 3, 17, 19, 173, 263, 203, 1233, 1407, 933, 8905, 26905, 63343, 64963, 0};
static int joe_kuo_d6_initial_number12523[] = {1, 3, 1, 13, 21, 43, 97, 79, 163, 529, 1571, 1027, 4339, 16235, 9189, 29203, 36789, 0};
static int joe_kuo_d6_initial_number12524[] = {1, 1, 7, 1, 31, 1, 117, 247, 193, 333, 1797, 3515, 285, 2803, 25345, 9101, 110569, 0};
static int joe_kuo_d6_initial_number12525[] = {1, 1, 5, 11, 17, 63, 45, 167, 35, 925, 569, 3687, 6739, 12453, 26171, 28249, 73827, 0};
static int joe_kuo_d6_initial_number12526[] = {1, 1, 5, 1, 19, 49, 107, 183, 435, 305, 1191, 2711, 891, 15813, 13449, 23489, 89749, 0};
static int joe_kuo_d6_initial_number12527[] = {1, 1, 1, 11, 7, 53, 105, 17, 433, 351, 1151, 4077, 5371, 10183, 18895, 13229, 101219, 0};
static int joe_kuo_d6_initial_number12528[] = {1, 3, 7, 9, 21, 33, 27, 125, 177, 607, 817, 2689, 2123, 2037, 29643, 27219, 44591, 0};
static int joe_kuo_d6_initial_number12529[] = {1, 3, 5, 11, 27, 51, 29, 161, 469, 349, 1445, 3613, 1487, 961, 29017, 2235, 45905, 0};
static int joe_kuo_d6_initial_number12530[] = {1, 1, 3, 11, 7, 15, 37, 195, 329, 875, 559, 1361, 7373, 7143, 15059, 59205, 37167, 0};
static int joe_kuo_d6_initial_number12531[] = {1, 1, 5, 1, 7, 25, 27, 211, 301, 369, 227, 123, 4415, 15993, 4829, 43801, 83639, 0};
static int joe_kuo_d6_initial_number12532[] = {1, 1, 3, 5, 25, 37, 31, 205, 69, 275, 855, 1407, 2989, 11001, 16963, 31497, 3505, 0};
static int joe_kuo_d6_initial_number12533[] = {1, 1, 7, 7, 25, 33, 81, 181, 197, 717, 207, 535, 8083, 5765, 2523, 40347, 27245, 0};
static int joe_kuo_d6_initial_number12534[] = {1, 3, 1, 5, 13, 3, 107, 143, 233, 419, 1831, 2149, 7277, 13449, 31609, 48345, 82621, 0};
static int joe_kuo_d6_initial_number12535[] = {1, 3, 5, 9, 31, 35, 39, 113, 415, 803, 1479, 3169, 8015, 4659, 2445, 9159, 91625, 0};
static int joe_kuo_d6_initial_number12536[] = {1, 3, 1, 5, 27, 25, 83, 165, 459, 955, 1535, 377, 5531, 2945, 18285, 18097, 21589, 0};
static int joe_kuo_d6_initial_number12537[] = {1, 1, 1, 15, 13, 23, 11, 159, 471, 951, 1971, 677, 2641, 3227, 14761, 39421, 29841, 0};
static int joe_kuo_d6_initial_number12538[] = {1, 1, 7, 11, 19, 37, 101, 97, 373, 559, 105, 905, 897, 15309, 14979, 52029, 38989, 0};
static int joe_kuo_d6_initial_number12539[] = {1, 1, 5, 15, 31, 43, 71, 75, 481, 997, 5, 1005, 4987, 7907, 16237, 43075, 94827, 0};
static int joe_kuo_d6_initial_number12540[] = {1, 3, 5, 11, 23, 55, 123, 91, 183, 307, 97, 1999, 3341, 4717, 19643, 9455, 26555, 0};
static int joe_kuo_d6_initial_number12541[] = {1, 1, 7, 3, 29, 61, 75, 197, 125, 579, 145, 1333, 85, 15655, 28177, 6169, 43289, 0};
static int joe_kuo_d6_initial_number12542[] = {1, 3, 7, 13, 21, 15, 1, 221, 293, 991, 35, 2701, 2909, 7333, 27319, 32281, 77861, 0};
static int joe_kuo_d6_initial_number12543[] = {1, 1, 3, 1, 17, 11, 81, 209, 499, 125, 105, 2987, 3891, 9531, 27963, 39611, 43633, 0};
static int joe_kuo_d6_initial_number12544[] = {1, 3, 3, 3, 29, 45, 51, 63, 209, 75, 1321, 4055, 7851, 12329, 8371, 59513, 49105, 0};
static int joe_kuo_d6_initial_number12545[] = {1, 1, 7, 5, 9, 63, 59, 127, 445, 899, 1857, 3737, 625, 15021, 25177, 21007, 25935, 0};
static int joe_kuo_d6_initial_number12546[] = {1, 1, 5, 9, 9, 57, 25, 63, 235, 191, 1527, 1783, 1401, 1813, 2553, 1241, 100029, 0};
static int joe_kuo_d6_initial_number12547[] = {1, 3, 1, 11, 27, 5, 49, 39, 505, 653, 1083, 921, 1045, 11337, 25499, 36211, 75851, 0};
static int joe_kuo_d6_initial_number12548[] = {1, 3, 3, 1, 29, 19, 71, 93, 223, 153, 561, 1657, 5821, 14181, 1275, 24633, 114787, 0};
static int joe_kuo_d6_initial_number12549[] = {1, 1, 1, 9, 7, 13, 17, 239, 457, 731, 1811, 3015, 4465, 5865, 2387, 30455, 17405, 0};
static int joe_kuo_d6_initial_number12550[] = {1, 3, 5, 1, 7, 45, 117, 207, 7, 645, 131, 863, 6443, 14455, 11885, 39257, 126431, 0};
static int joe_kuo_d6_initial_number12551[] = {1, 1, 3, 5, 17, 23, 3, 27, 475, 731, 431, 1967, 981, 12727, 1301, 17647, 62481, 0};
static int joe_kuo_d6_initial_number12552[] = {1, 1, 1, 13, 11, 53, 105, 109, 105, 461, 1787, 2851, 1299, 9925, 13055, 58301, 24483, 0};
static int joe_kuo_d6_initial_number12553[] = {1, 1, 1, 11, 7, 35, 11, 173, 247, 289, 1269, 361, 2059, 5051, 25731, 58085, 21387, 0};
static int joe_kuo_d6_initial_number12554[] = {1, 3, 1, 5, 9, 31, 59, 151, 435, 519, 1863, 2255, 2585, 10033, 29189, 27189, 25023, 0};
static int joe_kuo_d6_initial_number12555[] = {1, 1, 5, 5, 25, 17, 53, 189, 187, 847, 369, 3287, 6047, 2385, 26045, 48821, 23335, 0};
static int joe_kuo_d6_initial_number12556[] = {1, 1, 1, 9, 15, 55, 79, 21, 433, 131, 1677, 3681, 6173, 9189, 15053, 12971, 81135, 0};
static int joe_kuo_d6_initial_number12557[] = {1, 1, 3, 5, 29, 5, 11, 213, 151, 77, 1493, 3959, 7675, 7689, 10381, 15871, 123463, 0};
static int joe_kuo_d6_initial_number12558[] = {1, 3, 7, 11, 19, 47, 31, 81, 207, 789, 1945, 2671, 1987, 6363, 26401, 9799, 59531, 0};
static int joe_kuo_d6_initial_number12559[] = {1, 1, 1, 7, 17, 7, 83, 181, 339, 423, 267, 2251, 1847, 14883, 13423, 27223, 81799, 0};
static int joe_kuo_d6_initial_number12560[] = {1, 3, 5, 15, 9, 9, 73, 95, 197, 267, 743, 2369, 6417, 3555, 9885, 6373, 87651, 0};
static int joe_kuo_d6_initial_number12561[] = {1, 1, 3, 13, 21, 29, 57, 59, 395, 631, 993, 17, 2939, 14117, 27521, 61387, 74927, 0};
static int joe_kuo_d6_initial_number12562[] = {1, 1, 3, 13, 1, 29, 23, 151, 381, 591, 1217, 2295, 4403, 15865, 4325, 31329, 56989, 0};
static int joe_kuo_d6_initial_number12563[] = {1, 3, 5, 1, 27, 7, 111, 79, 287, 945, 1237, 2857, 1461, 2477, 10929, 17117, 98677, 0};
static int joe_kuo_d6_initial_number12564[] = {1, 1, 1, 5, 15, 35, 109, 39, 391, 57, 1783, 3133, 5563, 7721, 12651, 3437, 46697, 0};
static int joe_kuo_d6_initial_number12565[] = {1, 3, 5, 5, 13, 47, 123, 51, 383, 91, 641, 1607, 4461, 7, 6427, 42755, 130097, 0};
static int joe_kuo_d6_initial_number12566[] = {1, 1, 5, 5, 25, 49, 33, 59, 351, 1003, 301, 2721, 7705, 5447, 21367, 63007, 112465, 0};
static int joe_kuo_d6_initial_number12567[] = {1, 1, 5, 13, 31, 11, 73, 1, 359, 201, 1465, 187, 7385, 12817, 12911, 17775, 77937, 0};
static int joe_kuo_d6_initial_number12568[] = {1, 3, 1, 15, 29, 5, 117, 69, 79, 93, 947, 133, 1049, 13907, 3611, 42123, 8041, 0};
static int joe_kuo_d6_initial_number12569[] = {1, 1, 7, 7, 29, 17, 71, 171, 357, 619, 1199, 3817, 6889, 9607, 19075, 15539, 54939, 0};
static int joe_kuo_d6_initial_number12570[] = {1, 1, 1, 7, 23, 29, 91, 227, 119, 865, 943, 381, 5289, 189, 15917, 13875, 31095, 0};
static int joe_kuo_d6_initial_number12571[] = {1, 1, 7, 1, 9, 49, 93, 175, 105, 61, 1285, 3659, 2383, 505, 12337, 43801, 67035, 0};
static int joe_kuo_d6_initial_number12572[] = {1, 3, 5, 1, 31, 47, 75, 17, 455, 231, 1887, 2295, 2533, 733, 29001, 22001, 119423, 0};
static int joe_kuo_d6_initial_number12573[] = {1, 3, 7, 3, 5, 5, 69, 205, 459, 805, 1257, 3283, 3305, 6845, 1405, 56051, 63453, 0};
static int joe_kuo_d6_initial_number12574[] = {1, 3, 3, 3, 19, 57, 65, 149, 175, 683, 1719, 637, 4951, 13645, 30455, 22379, 105369, 0};
static int joe_kuo_d6_initial_number12575[] = {1, 3, 1, 11, 31, 27, 69, 13, 191, 645, 1563, 3897, 2387, 2269, 12999, 42217, 100853, 0};
static int joe_kuo_d6_initial_number12576[] = {1, 3, 1, 13, 31, 7, 11, 227, 267, 373, 1249, 2591, 4769, 303, 5865, 59911, 4991, 0};
static int joe_kuo_d6_initial_number12577[] = {1, 3, 7, 11, 7, 31, 87, 205, 45, 785, 1947, 1965, 5851, 7501, 89, 38897, 91939, 0};
static int joe_kuo_d6_initial_number12578[] = {1, 3, 5, 9, 21, 37, 79, 181, 163, 355, 1129, 3439, 5103, 15903, 2935, 22505, 97451, 0};
static int joe_kuo_d6_initial_number12579[] = {1, 1, 3, 9, 7, 37, 107, 255, 69, 133, 551, 1357, 31, 7059, 29195, 30151, 81785, 0};
static int joe_kuo_d6_initial_number12580[] = {1, 3, 3, 5, 3, 51, 3, 143, 305, 697, 1041, 1267, 7635, 1483, 649, 28275, 65059, 0};
static int joe_kuo_d6_initial_number12581[] = {1, 3, 1, 7, 11, 13, 113, 81, 159, 993, 797, 3207, 3787, 13005, 29393, 51107, 42709, 0};
static int joe_kuo_d6_initial_number12582[] = {1, 1, 3, 13, 7, 11, 113, 195, 349, 377, 2033, 197, 147, 13839, 5405, 29577, 64535, 0};
static int joe_kuo_d6_initial_number12583[] = {1, 3, 1, 9, 1, 1, 77, 73, 383, 463, 1871, 1589, 1805, 2085, 5195, 17805, 33159, 0};
static int joe_kuo_d6_initial_number12584[] = {1, 1, 1, 9, 25, 37, 123, 119, 507, 515, 1547, 139, 7501, 4725, 30195, 18199, 41145, 0};
static int joe_kuo_d6_initial_number12585[] = {1, 3, 3, 7, 17, 33, 99, 11, 487, 343, 403, 337, 3831, 6031, 20375, 2071, 39795, 0};
static int joe_kuo_d6_initial_number12586[] = {1, 1, 5, 1, 13, 57, 59, 11, 391, 953, 597, 1411, 3929, 13963, 15003, 59385, 12293, 0};
static int joe_kuo_d6_initial_number12587[] = {1, 3, 1, 15, 23, 61, 67, 129, 63, 555, 433, 631, 2725, 317, 10121, 9217, 124371, 0};
static int joe_kuo_d6_initial_number12588[] = {1, 1, 5, 7, 19, 23, 17, 45, 75, 819, 1879, 2315, 1439, 2643, 26561, 19209, 16081, 0};
static int joe_kuo_d6_initial_number12589[] = {1, 3, 5, 7, 5, 35, 121, 233, 91, 89, 1741, 3015, 4223, 9605, 22795, 55845, 47167, 0};
static int joe_kuo_d6_initial_number12590[] = {1, 3, 7, 7, 13, 23, 11, 51, 91, 367, 773, 1303, 2151, 14423, 22263, 28413, 107461, 0};
static int joe_kuo_d6_initial_number12591[] = {1, 1, 1, 11, 29, 17, 49, 53, 379, 819, 1551, 2907, 5805, 2167, 16123, 9263, 43903, 0};
static int joe_kuo_d6_initial_number12592[] = {1, 3, 1, 13, 19, 27, 33, 127, 131, 697, 489, 3289, 1895, 3243, 19497, 32419, 55741, 0};
static int joe_kuo_d6_initial_number12593[] = {1, 3, 1, 15, 7, 51, 91, 45, 251, 829, 2015, 2659, 151, 3327, 25281, 49291, 106343, 0};
static int joe_kuo_d6_initial_number12594[] = {1, 1, 5, 5, 27, 11, 85, 45, 203, 413, 293, 3067, 4109, 959, 22337, 38767, 75829, 0};
static int joe_kuo_d6_initial_number12595[] = {1, 1, 3, 5, 21, 35, 65, 173, 315, 423, 171, 3837, 817, 10153, 5517, 18115, 117437, 0};
static int joe_kuo_d6_initial_number12596[] = {1, 1, 1, 7, 9, 29, 101, 55, 253, 37, 1717, 7, 3181, 1067, 20637, 54773, 106777, 0};
static int joe_kuo_d6_initial_number12597[] = {1, 3, 7, 11, 13, 11, 87, 83, 83, 969, 589, 3625, 3373, 3921, 24487, 34235, 96289, 0};
static int joe_kuo_d6_initial_number12598[] = {1, 3, 1, 11, 25, 35, 65, 131, 491, 167, 449, 2949, 5807, 5649, 7569, 37363, 106819, 0};
static int joe_kuo_d6_initial_number12599[] = {1, 1, 5, 1, 9, 37, 33, 237, 79, 163, 1791, 3499, 4951, 2009, 16183, 10121, 40221, 0};
static int joe_kuo_d6_initial_number12600[] = {1, 1, 5, 15, 21, 49, 123, 53, 27, 273, 1655, 3713, 5699, 1659, 31985, 6779, 10195, 0};
static int joe_kuo_d6_initial_number12601[] = {1, 3, 5, 11, 27, 37, 93, 17, 263, 41, 1583, 703, 7689, 6667, 15497, 15255, 67153, 0};
static int joe_kuo_d6_initial_number12602[] = {1, 1, 5, 9, 19, 13, 121, 39, 321, 177, 711, 3223, 3859, 14775, 19061, 40587, 97199, 0};
static int joe_kuo_d6_initial_number12603[] = {1, 3, 7, 9, 23, 11, 93, 243, 3, 811, 679, 1103, 7579, 14147, 20255, 22485, 117179, 0};
static int joe_kuo_d6_initial_number12604[] = {1, 3, 3, 5, 23, 9, 21, 243, 27, 501, 1273, 1501, 5331, 15663, 19483, 10637, 90905, 0};
static int joe_kuo_d6_initial_number12605[] = {1, 3, 1, 15, 13, 11, 89, 37, 63, 463, 731, 3615, 3923, 4677, 21329, 1069, 57565, 0};
static int joe_kuo_d6_initial_number12606[] = {1, 1, 1, 13, 19, 39, 63, 59, 389, 367, 1285, 2005, 8103, 4179, 3805, 55475, 126589, 0};
static int joe_kuo_d6_initial_number12607[] = {1, 3, 5, 11, 27, 57, 27, 63, 365, 171, 665, 2035, 2831, 15955, 11551, 26741, 121059, 0};
static int joe_kuo_d6_initial_number12608[] = {1, 3, 3, 3, 23, 19, 13, 7, 331, 613, 1783, 733, 7465, 1089, 4683, 15695, 31125, 0};
static int joe_kuo_d6_initial_number12609[] = {1, 1, 5, 3, 3, 23, 95, 157, 303, 987, 307, 2679, 6173, 6633, 17727, 30901, 76109, 0};
static int joe_kuo_d6_initial_number12610[] = {1, 1, 1, 1, 11, 21, 111, 81, 31, 727, 1133, 4083, 5811, 2707, 31749, 42939, 92225, 0};
static int joe_kuo_d6_initial_number12611[] = {1, 3, 1, 11, 29, 21, 31, 115, 351, 213, 201, 3511, 3707, 12821, 8845, 59789, 59721, 0};
static int joe_kuo_d6_initial_number12612[] = {1, 3, 5, 9, 7, 27, 65, 1, 305, 937, 1201, 2045, 2431, 12275, 24431, 3317, 119671, 0};
static int joe_kuo_d6_initial_number12613[] = {1, 1, 7, 11, 19, 43, 107, 107, 261, 933, 1125, 1875, 1943, 7477, 20759, 57853, 29459, 0};
static int joe_kuo_d6_initial_number12614[] = {1, 1, 3, 3, 17, 43, 79, 19, 167, 341, 237, 677, 725, 2353, 12003, 48921, 20707, 0};
static int joe_kuo_d6_initial_number12615[] = {1, 3, 3, 5, 31, 39, 91, 81, 121, 59, 737, 1767, 4407, 9159, 10237, 25361, 38891, 0};
static int joe_kuo_d6_initial_number12616[] = {1, 1, 5, 7, 31, 47, 37, 47, 171, 623, 597, 2807, 4875, 15139, 18809, 24279, 36563, 0};
static int joe_kuo_d6_initial_number12617[] = {1, 3, 5, 3, 3, 7, 31, 135, 81, 777, 1055, 337, 4309, 9575, 11075, 54429, 30097, 0};
static int joe_kuo_d6_initial_number12618[] = {1, 1, 5, 1, 3, 57, 53, 25, 117, 961, 947, 257, 2645, 6935, 27511, 54051, 129095, 0};
static int joe_kuo_d6_initial_number12619[] = {1, 1, 1, 15, 23, 45, 11, 173, 407, 373, 1051, 3519, 1875, 1291, 4393, 9047, 102159, 0};
static int joe_kuo_d6_initial_number12620[] = {1, 1, 3, 5, 9, 51, 23, 253, 261, 339, 505, 3601, 265, 8375, 7241, 40715, 114439, 0};
static int joe_kuo_d6_initial_number12621[] = {1, 1, 7, 7, 3, 63, 5, 233, 259, 947, 1367, 2699, 6029, 9371, 6567, 39961, 31621, 0};
static int joe_kuo_d6_initial_number12622[] = {1, 1, 3, 3, 25, 43, 73, 61, 305, 257, 235, 421, 6621, 1025, 18831, 44525, 87665, 0};
static int joe_kuo_d6_initial_number12623[] = {1, 3, 5, 7, 19, 33, 77, 163, 191, 115, 1275, 3551, 3521, 6767, 30209, 48895, 114185, 0};
static int joe_kuo_d6_initial_number12624[] = {1, 1, 3, 3, 29, 37, 3, 165, 267, 807, 967, 2893, 3287, 12249, 21411, 19291, 91781, 0};
static int joe_kuo_d6_initial_number12625[] = {1, 1, 5, 5, 27, 55, 51, 137, 429, 775, 1525, 3911, 5367, 5981, 24373, 16331, 31887, 0};
static int joe_kuo_d6_initial_number12626[] = {1, 1, 5, 11, 17, 49, 37, 243, 509, 563, 1381, 2013, 7341, 10509, 10049, 29135, 32709, 0};
static int joe_kuo_d6_initial_number12627[] = {1, 1, 3, 13, 1, 33, 119, 5, 477, 701, 1329, 1023, 2091, 12895, 6443, 1053, 44741, 0};
static int joe_kuo_d6_initial_number12628[] = {1, 3, 5, 7, 13, 19, 1, 113, 3, 481, 1555, 2857, 3519, 7903, 16153, 62909, 78877, 0};
static int joe_kuo_d6_initial_number12629[] = {1, 1, 7, 11, 7, 27, 47, 175, 87, 605, 411, 4065, 8059, 5023, 27719, 3111, 62247, 0};
static int joe_kuo_d6_initial_number12630[] = {1, 3, 1, 15, 27, 37, 71, 77, 297, 647, 1651, 2543, 3925, 4827, 28587, 49663, 56581, 0};
static int joe_kuo_d6_initial_number12631[] = {1, 3, 5, 1, 19, 49, 63, 9, 43, 243, 931, 3577, 2371, 10513, 13691, 27739, 61011, 0};
static int joe_kuo_d6_initial_number12632[] = {1, 1, 3, 1, 23, 27, 53, 149, 157, 735, 1087, 1529, 6613, 2493, 4879, 26771, 123711, 0};
static int joe_kuo_d6_initial_number12633[] = {1, 3, 7, 13, 5, 3, 43, 3, 343, 497, 943, 3443, 4335, 4779, 4033, 25871, 10965, 0};
static int joe_kuo_d6_initial_number12634[] = {1, 3, 5, 1, 5, 11, 93, 73, 199, 455, 421, 3495, 4381, 717, 21033, 41287, 44743, 0};
static int joe_kuo_d6_initial_number12635[] = {1, 1, 3, 9, 13, 33, 77, 143, 81, 57, 1061, 3205, 2411, 1347, 23149, 21913, 119331, 0};
static int joe_kuo_d6_initial_number12636[] = {1, 3, 1, 7, 1, 15, 45, 247, 119, 905, 457, 3939, 4865, 11191, 27705, 46315, 68367, 0};
static int joe_kuo_d6_initial_number12637[] = {1, 3, 3, 15, 31, 5, 55, 169, 381, 1009, 1893, 2751, 411, 8653, 30367, 54919, 23541, 0};
static int joe_kuo_d6_initial_number12638[] = {1, 3, 7, 1, 29, 27, 77, 239, 109, 125, 355, 2759, 2229, 3435, 16241, 53309, 613, 0};
static int joe_kuo_d6_initial_number12639[] = {1, 3, 1, 3, 11, 27, 33, 167, 311, 1003, 1635, 2479, 1831, 6225, 17711, 30185, 87043, 0};
static int joe_kuo_d6_initial_number12640[] = {1, 3, 7, 13, 7, 61, 3, 243, 55, 259, 461, 3357, 121, 9107, 19393, 3719, 71403, 0};
static int joe_kuo_d6_initial_number12641[] = {1, 1, 7, 15, 23, 25, 55, 89, 241, 297, 113, 59, 4799, 381, 29127, 811, 91149, 0};
static int joe_kuo_d6_initial_number12642[] = {1, 1, 3, 3, 13, 35, 43, 163, 69, 69, 1949, 2383, 887, 2349, 12539, 167, 23697, 0};
static int joe_kuo_d6_initial_number12643[] = {1, 3, 3, 11, 3, 45, 23, 149, 55, 963, 1293, 2715, 1401, 16081, 12821, 2129, 26835, 0};
static int joe_kuo_d6_initial_number12644[] = {1, 3, 3, 13, 29, 47, 21, 249, 141, 179, 627, 329, 6377, 12049, 11715, 1447, 119359, 0};
static int joe_kuo_d6_initial_number12645[] = {1, 1, 5, 13, 7, 59, 103, 189, 401, 169, 455, 1197, 1881, 12679, 4533, 25561, 79281, 0};
static int joe_kuo_d6_initial_number12646[] = {1, 1, 7, 15, 21, 59, 97, 77, 397, 487, 647, 2277, 269, 713, 17741, 37387, 100143, 0};
static int joe_kuo_d6_initial_number12647[] = {1, 3, 5, 1, 1, 43, 31, 201, 21, 805, 1533, 1407, 4719, 2673, 22757, 7605, 72485, 0};
static int joe_kuo_d6_initial_number12648[] = {1, 1, 3, 11, 27, 25, 99, 135, 225, 367, 1311, 683, 7193, 8209, 17081, 55709, 3029, 0};
static int joe_kuo_d6_initial_number12649[] = {1, 3, 5, 5, 17, 9, 59, 27, 153, 353, 647, 2919, 1877, 5359, 19787, 46237, 7, 0};
static int joe_kuo_d6_initial_number12650[] = {1, 3, 3, 15, 11, 39, 75, 223, 489, 57, 1355, 3941, 6603, 12883, 20909, 24065, 53543, 0};
static int joe_kuo_d6_initial_number12651[] = {1, 1, 3, 9, 17, 47, 61, 49, 397, 23, 2019, 37, 23, 8967, 10357, 54419, 27279, 0};
static int joe_kuo_d6_initial_number12652[] = {1, 1, 1, 7, 31, 43, 87, 111, 293, 969, 1431, 2275, 3131, 2915, 24595, 63049, 71517, 0};
static int joe_kuo_d6_initial_number12653[] = {1, 1, 3, 11, 11, 63, 89, 33, 95, 299, 593, 3353, 7389, 841, 1895, 64835, 19915, 0};
static int joe_kuo_d6_initial_number12654[] = {1, 1, 1, 3, 13, 63, 51, 3, 327, 401, 1289, 2699, 5599, 5101, 3189, 23415, 53429, 0};
static int joe_kuo_d6_initial_number12655[] = {1, 1, 7, 13, 27, 15, 57, 201, 365, 643, 171, 2417, 1763, 7567, 5323, 50911, 24281, 0};
static int joe_kuo_d6_initial_number12656[] = {1, 3, 3, 13, 31, 37, 31, 243, 225, 431, 379, 1565, 1567, 11477, 4641, 58823, 88565, 0};
static int joe_kuo_d6_initial_number12657[] = {1, 3, 3, 7, 13, 39, 79, 169, 401, 177, 2023, 1703, 5563, 15619, 21445, 59287, 30141, 0};
static int joe_kuo_d6_initial_number12658[] = {1, 3, 3, 15, 17, 47, 13, 163, 361, 353, 1435, 2083, 4109, 14105, 28585, 1721, 119133, 0};
static int joe_kuo_d6_initial_number12659[] = {1, 3, 3, 3, 29, 41, 97, 131, 501, 415, 1735, 2315, 6499, 11417, 3879, 3957, 47117, 0};
static int joe_kuo_d6_initial_number12660[] = {1, 1, 3, 13, 5, 25, 29, 65, 235, 949, 1571, 927, 515, 7519, 23123, 4127, 71019, 0};
static int joe_kuo_d6_initial_number12661[] = {1, 1, 5, 13, 1, 41, 5, 137, 487, 711, 561, 2495, 5367, 6955, 9453, 54499, 118373, 0};
static int joe_kuo_d6_initial_number12662[] = {1, 3, 3, 5, 27, 15, 23, 237, 95, 873, 1949, 1579, 7089, 8837, 30463, 9903, 61919, 0};
static int joe_kuo_d6_initial_number12663[] = {1, 3, 1, 13, 5, 5, 15, 5, 429, 617, 383, 2495, 409, 15541, 11209, 20625, 58493, 0};
static int joe_kuo_d6_initial_number12664[] = {1, 1, 7, 11, 25, 21, 113, 219, 459, 777, 289, 2435, 6665, 83, 22997, 6561, 82923, 0};
static int joe_kuo_d6_initial_number12665[] = {1, 1, 1, 7, 19, 53, 37, 249, 273, 639, 2007, 1463, 7819, 9013, 19539, 41235, 58059, 0};
static int joe_kuo_d6_initial_number12666[] = {1, 1, 3, 11, 13, 51, 97, 55, 237, 159, 1305, 3705, 2527, 13065, 13873, 10275, 3769, 0};
static int joe_kuo_d6_initial_number12667[] = {1, 1, 5, 7, 13, 49, 41, 13, 301, 461, 1169, 3805, 7163, 4133, 17255, 48283, 87059, 0};
static int joe_kuo_d6_initial_number12668[] = {1, 3, 7, 15, 9, 19, 45, 195, 445, 145, 543, 2839, 315, 10991, 3317, 46501, 29209, 0};
static int joe_kuo_d6_initial_number12669[] = {1, 1, 3, 5, 23, 51, 53, 119, 217, 747, 1307, 3039, 5523, 5891, 21035, 56471, 80305, 0};
static int joe_kuo_d6_initial_number12670[] = {1, 3, 1, 3, 23, 17, 97, 71, 7, 839, 229, 3407, 3025, 1989, 16599, 38755, 11139, 0};
static int joe_kuo_d6_initial_number12671[] = {1, 1, 7, 7, 7, 19, 67, 43, 293, 191, 1549, 1621, 7083, 11633, 1899, 4515, 89753, 0};
static int joe_kuo_d6_initial_number12672[] = {1, 3, 7, 11, 1, 23, 17, 63, 265, 709, 453, 1309, 6861, 7257, 17705, 28565, 15231, 0};
static int joe_kuo_d6_initial_number12673[] = {1, 3, 5, 13, 1, 53, 99, 79, 241, 771, 497, 987, 2353, 6931, 227, 57781, 109583, 0};
static int joe_kuo_d6_initial_number12674[] = {1, 3, 3, 5, 31, 47, 17, 97, 93, 119, 2045, 3597, 7983, 4993, 30659, 3419, 32803, 0};
static int joe_kuo_d6_initial_number12675[] = {1, 3, 7, 1, 11, 41, 3, 7, 155, 627, 979, 2405, 7467, 6763, 28523, 56493, 1291, 0};
static int joe_kuo_d6_initial_number12676[] = {1, 1, 1, 7, 3, 43, 13, 187, 415, 1001, 667, 1371, 8075, 12855, 27215, 9399, 70657, 0};
static int joe_kuo_d6_initial_number12677[] = {1, 3, 1, 9, 29, 53, 117, 17, 443, 381, 507, 643, 5891, 10725, 20251, 497, 101313, 0};
static int joe_kuo_d6_initial_number12678[] = {1, 3, 3, 1, 31, 47, 59, 75, 173, 347, 1, 117, 3639, 10231, 863, 56795, 56107, 0};
static int joe_kuo_d6_initial_number12679[] = {1, 3, 1, 15, 11, 41, 97, 251, 177, 275, 1849, 1281, 3659, 9709, 16239, 7445, 47661, 0};
static int joe_kuo_d6_initial_number12680[] = {1, 3, 3, 5, 13, 1, 27, 251, 89, 863, 685, 3915, 2201, 4313, 32083, 37171, 120885, 0};
static int joe_kuo_d6_initial_number12681[] = {1, 3, 3, 3, 3, 11, 77, 135, 147, 475, 505, 611, 4763, 9445, 28639, 51343, 119093, 0};
static int joe_kuo_d6_initial_number12682[] = {1, 3, 7, 1, 11, 9, 67, 73, 375, 977, 1011, 1621, 6623, 8077, 26321, 7461, 130637, 0};
static int joe_kuo_d6_initial_number12683[] = {1, 3, 5, 15, 15, 59, 63, 217, 117, 375, 1151, 3451, 5843, 13221, 20673, 10817, 57711, 0};
static int joe_kuo_d6_initial_number12684[] = {1, 1, 3, 5, 19, 5, 9, 101, 321, 815, 451, 719, 523, 1299, 27823, 48041, 45939, 0};
static int joe_kuo_d6_initial_number12685[] = {1, 1, 1, 9, 5, 49, 59, 59, 409, 5, 1075, 21, 7837, 4543, 3085, 55473, 89309, 0};
static int joe_kuo_d6_initial_number12686[] = {1, 3, 3, 13, 9, 31, 93, 181, 153, 795, 713, 933, 6001, 9075, 29781, 14029, 46361, 0};
static int joe_kuo_d6_initial_number12687[] = {1, 3, 5, 3, 9, 21, 79, 129, 361, 627, 743, 3041, 5381, 3627, 12581, 35183, 83183, 0};
static int joe_kuo_d6_initial_number12688[] = {1, 3, 3, 3, 29, 29, 93, 187, 341, 727, 181, 133, 6525, 5673, 2739, 23349, 62505, 0};
static int joe_kuo_d6_initial_number12689[] = {1, 3, 5, 13, 27, 59, 127, 149, 321, 613, 1543, 1537, 2909, 5139, 3755, 49285, 35183, 0};
static int joe_kuo_d6_initial_number12690[] = {1, 3, 3, 9, 5, 31, 19, 173, 137, 19, 799, 1847, 3897, 15775, 22411, 55405, 95713, 0};
static int joe_kuo_d6_initial_number12691[] = {1, 3, 5, 5, 31, 1, 87, 97, 481, 797, 459, 793, 4339, 5443, 31717, 6691, 68841, 0};
static int joe_kuo_d6_initial_number12692[] = {1, 3, 3, 5, 3, 9, 123, 21, 393, 683, 1007, 971, 729, 7113, 2811, 51183, 37093, 0};
static int joe_kuo_d6_initial_number12693[] = {1, 3, 5, 5, 27, 31, 19, 227, 123, 937, 763, 2117, 3825, 9151, 95, 54963, 62919, 0};
static int joe_kuo_d6_initial_number12694[] = {1, 3, 1, 3, 23, 21, 21, 7, 7, 165, 99, 3073, 91, 8725, 17613, 47119, 41441, 0};
static int joe_kuo_d6_initial_number12695[] = {1, 3, 7, 9, 29, 49, 117, 49, 205, 605, 1567, 3323, 1559, 10949, 14349, 34951, 99901, 0};
static int joe_kuo_d6_initial_number12696[] = {1, 1, 1, 1, 15, 41, 31, 133, 439, 305, 719, 147, 6849, 5947, 31749, 45171, 15265, 0};
static int joe_kuo_d6_initial_number12697[] = {1, 1, 5, 11, 19, 37, 13, 253, 385, 625, 1801, 1191, 547, 12025, 17971, 54127, 97323, 0};
static int joe_kuo_d6_initial_number12698[] = {1, 3, 5, 5, 27, 9, 57, 245, 59, 211, 1195, 763, 6743, 6309, 25759, 26633, 27497, 0};
static int joe_kuo_d6_initial_number12699[] = {1, 3, 5, 5, 9, 51, 49, 29, 213, 855, 305, 3961, 3187, 6815, 19015, 2539, 81705, 0};
static int joe_kuo_d6_initial_number12700[] = {1, 1, 5, 7, 11, 61, 123, 163, 127, 871, 463, 2279, 5931, 2913, 23215, 40215, 91373, 0};
static int joe_kuo_d6_initial_number12701[] = {1, 1, 7, 1, 29, 57, 55, 189, 285, 603, 747, 3753, 3359, 10277, 25319, 17569, 80125, 0};
static int joe_kuo_d6_initial_number12702[] = {1, 3, 1, 9, 7, 53, 9, 55, 117, 495, 2045, 2487, 1625, 775, 17773, 62159, 79537, 0};
static int joe_kuo_d6_initial_number12703[] = {1, 1, 5, 1, 1, 11, 67, 79, 57, 677, 2045, 3913, 853, 3581, 10509, 35097, 24585, 0};
static int joe_kuo_d6_initial_number12704[] = {1, 3, 7, 7, 19, 15, 13, 237, 297, 807, 657, 2229, 2931, 10283, 49, 56485, 113889, 0};
static int joe_kuo_d6_initial_number12705[] = {1, 3, 5, 13, 11, 23, 37, 229, 253, 411, 39, 1069, 3683, 12141, 11087, 64875, 62991, 0};
static int joe_kuo_d6_initial_number12706[] = {1, 1, 1, 1, 13, 11, 21, 227, 305, 1021, 1039, 3095, 4621, 5723, 31989, 30681, 58487, 0};
static int joe_kuo_d6_initial_number12707[] = {1, 3, 3, 5, 17, 47, 127, 65, 85, 961, 277, 549, 2111, 4183, 771, 11921, 111489, 0};
static int joe_kuo_d6_initial_number12708[] = {1, 3, 3, 5, 31, 39, 89, 51, 277, 705, 375, 1603, 2793, 7425, 25065, 44945, 48391, 0};
static int joe_kuo_d6_initial_number12709[] = {1, 1, 5, 7, 9, 45, 21, 217, 183, 65, 625, 1239, 4241, 8043, 13615, 5611, 82501, 0};
static int joe_kuo_d6_initial_number12710[] = {1, 1, 7, 13, 15, 51, 29, 35, 73, 601, 233, 3117, 3031, 4229, 4299, 62761, 45291, 0};
static int joe_kuo_d6_initial_number12711[] = {1, 3, 5, 5, 27, 55, 7, 1, 333, 501, 913, 1939, 5131, 5597, 1271, 30195, 20947, 0};
static int joe_kuo_d6_initial_number12712[] = {1, 3, 5, 15, 19, 27, 43, 111, 435, 615, 811, 2113, 2503, 7553, 1619, 24773, 40881, 0};
static int joe_kuo_d6_initial_number12713[] = {1, 3, 5, 11, 11, 31, 21, 147, 151, 141, 527, 1839, 339, 1225, 29621, 19691, 22031, 0};
static int joe_kuo_d6_initial_number12714[] = {1, 1, 3, 13, 23, 35, 61, 181, 221, 837, 241, 3033, 1849, 12563, 11387, 3027, 33419, 0};
static int joe_kuo_d6_initial_number12715[] = {1, 3, 3, 7, 1, 39, 125, 249, 231, 575, 1847, 197, 3969, 12945, 10257, 27227, 94097, 0};
static int joe_kuo_d6_initial_number12716[] = {1, 3, 1, 11, 19, 7, 85, 119, 37, 253, 1575, 447, 6947, 14399, 32095, 15385, 62917, 0};
static int joe_kuo_d6_initial_number12717[] = {1, 3, 7, 11, 23, 53, 113, 193, 253, 651, 1717, 447, 4055, 13675, 18479, 28375, 66475, 0};
static int joe_kuo_d6_initial_number12718[] = {1, 1, 7, 3, 17, 27, 13, 209, 67, 271, 121, 1565, 2589, 8033, 3939, 14181, 111787, 0};
static int joe_kuo_d6_initial_number12719[] = {1, 1, 3, 3, 5, 57, 75, 87, 165, 947, 967, 3353, 2055, 16195, 3701, 62637, 58343, 0};
static int joe_kuo_d6_initial_number12720[] = {1, 1, 7, 13, 31, 41, 125, 111, 253, 257, 57, 679, 3333, 8259, 26331, 15883, 95023, 0};
static int joe_kuo_d6_initial_number12721[] = {1, 3, 7, 11, 1, 47, 5, 249, 353, 271, 1121, 1935, 4971, 8447, 9983, 55959, 66179, 0};
static int joe_kuo_d6_initial_number12722[] = {1, 3, 5, 11, 1, 61, 101, 43, 97, 241, 687, 4027, 4319, 4905, 12357, 51099, 97093, 0};
static int joe_kuo_d6_initial_number12723[] = {1, 1, 3, 15, 25, 25, 117, 139, 475, 961, 1585, 2795, 2411, 11049, 18209, 15511, 43193, 0};
static int joe_kuo_d6_initial_number12724[] = {1, 3, 3, 9, 9, 11, 107, 15, 189, 27, 289, 3111, 851, 3401, 31981, 7181, 47533, 0};
static int joe_kuo_d6_initial_number12725[] = {1, 1, 5, 15, 31, 57, 37, 77, 205, 707, 1505, 1343, 629, 13335, 6719, 35405, 38905, 0};
static int joe_kuo_d6_initial_number12726[] = {1, 3, 7, 7, 21, 63, 35, 125, 507, 285, 621, 2257, 3009, 13703, 9761, 54927, 16925, 0};
static int joe_kuo_d6_initial_number12727[] = {1, 1, 1, 11, 11, 53, 37, 17, 167, 663, 1349, 1395, 7721, 9329, 2161, 37093, 52425, 0};
static int joe_kuo_d6_initial_number12728[] = {1, 1, 7, 9, 1, 15, 113, 53, 87, 133, 131, 847, 609, 14737, 1639, 15511, 46987, 0};
static int joe_kuo_d6_initial_number12729[] = {1, 1, 7, 7, 25, 21, 125, 149, 201, 791, 1323, 2817, 1141, 289, 14349, 64461, 76575, 0};
static int joe_kuo_d6_initial_number12730[] = {1, 3, 3, 7, 15, 1, 123, 227, 83, 967, 2039, 3205, 715, 10787, 11235, 50375, 66911, 0};
static int joe_kuo_d6_initial_number12731[] = {1, 3, 3, 11, 9, 45, 41, 57, 327, 903, 1705, 3947, 3173, 1035, 25529, 15217, 80795, 0};
static int joe_kuo_d6_initial_number12732[] = {1, 3, 1, 13, 15, 63, 69, 57, 479, 277, 1641, 3465, 2629, 9901, 5781, 55101, 33049, 0};
static int joe_kuo_d6_initial_number12733[] = {1, 1, 3, 3, 31, 25, 57, 189, 491, 335, 373, 3069, 1623, 10781, 6559, 27057, 111491, 0};
static int joe_kuo_d6_initial_number12734[] = {1, 3, 3, 15, 19, 57, 67, 225, 343, 93, 315, 1011, 4437, 10371, 27927, 51269, 65653, 0};
static int joe_kuo_d6_initial_number12735[] = {1, 3, 5, 5, 21, 43, 105, 153, 65, 167, 369, 3167, 785, 7509, 3753, 9035, 29039, 0};
static int joe_kuo_d6_initial_number12736[] = {1, 1, 7, 3, 17, 9, 113, 21, 175, 967, 13, 2701, 5667, 9761, 20267, 33497, 88819, 0};
static int joe_kuo_d6_initial_number12737[] = {1, 1, 1, 7, 9, 61, 121, 205, 283, 259, 2027, 2361, 3995, 6787, 26867, 61681, 96149, 0};
static int joe_kuo_d6_initial_number12738[] = {1, 3, 3, 13, 31, 37, 125, 151, 317, 947, 423, 2907, 6905, 13247, 27997, 4755, 73173, 0};
static int joe_kuo_d6_initial_number12739[] = {1, 1, 7, 13, 1, 63, 85, 75, 33, 483, 85, 1583, 4783, 14003, 31147, 12643, 99447, 0};
static int joe_kuo_d6_initial_number12740[] = {1, 1, 1, 7, 31, 5, 93, 179, 213, 857, 3, 1015, 1481, 2413, 28759, 13941, 24851, 0};
static int joe_kuo_d6_initial_number12741[] = {1, 1, 5, 5, 5, 35, 73, 57, 469, 885, 1951, 3599, 5555, 7259, 22599, 7627, 109227, 0};
static int joe_kuo_d6_initial_number12742[] = {1, 1, 5, 13, 1, 1, 69, 107, 473, 793, 1851, 887, 2241, 7851, 21821, 25431, 118565, 0};
static int joe_kuo_d6_initial_number12743[] = {1, 1, 1, 3, 15, 51, 57, 175, 91, 113, 1671, 925, 2187, 1097, 28793, 45819, 41855, 0};
static int joe_kuo_d6_initial_number12744[] = {1, 1, 3, 3, 15, 51, 99, 177, 379, 713, 1273, 3245, 5515, 14657, 28981, 1197, 29283, 0};
static int joe_kuo_d6_initial_number12745[] = {1, 3, 3, 15, 13, 27, 29, 7, 17, 373, 779, 1589, 3077, 13673, 31029, 43765, 74339, 0};
static int joe_kuo_d6_initial_number12746[] = {1, 1, 3, 1, 25, 17, 15, 223, 219, 569, 155, 1307, 7143, 7975, 22581, 53223, 44271, 0};
static int joe_kuo_d6_initial_number12747[] = {1, 1, 1, 7, 11, 23, 67, 177, 189, 267, 1799, 2453, 2367, 4193, 1827, 10191, 12265, 0};
static int joe_kuo_d6_initial_number12748[] = {1, 3, 3, 11, 3, 29, 121, 231, 211, 191, 1803, 1171, 6801, 4007, 14111, 42951, 8311, 0};
static int joe_kuo_d6_initial_number12749[] = {1, 3, 3, 11, 9, 23, 11, 231, 349, 47, 1645, 345, 3681, 12227, 29955, 32131, 391, 0};
static int joe_kuo_d6_initial_number12750[] = {1, 1, 3, 11, 27, 17, 17, 49, 463, 173, 1993, 2339, 3763, 1931, 29969, 55579, 114805, 0};
static int joe_kuo_d6_initial_number12751[] = {1, 3, 5, 15, 5, 21, 105, 69, 173, 771, 815, 3807, 577, 12589, 32193, 37601, 23961, 0};
static int joe_kuo_d6_initial_number12752[] = {1, 1, 3, 9, 21, 63, 57, 213, 327, 765, 333, 2065, 719, 6159, 15769, 49335, 2289, 0};
static int joe_kuo_d6_initial_number12753[] = {1, 3, 3, 1, 27, 51, 13, 87, 465, 729, 507, 2811, 6721, 14279, 31733, 56165, 78169, 0};
static int joe_kuo_d6_initial_number12754[] = {1, 1, 1, 9, 25, 1, 47, 37, 407, 623, 1409, 3703, 4491, 3037, 8129, 13547, 50517, 0};
static int joe_kuo_d6_initial_number12755[] = {1, 3, 5, 13, 5, 51, 127, 225, 215, 377, 1013, 2387, 4237, 1317, 5245, 17535, 100707, 0};
static int joe_kuo_d6_initial_number12756[] = {1, 3, 5, 13, 31, 25, 123, 243, 317, 505, 483, 1743, 3097, 4139, 4525, 63143, 47665, 0};
static int joe_kuo_d6_initial_number12757[] = {1, 3, 3, 13, 27, 19, 21, 187, 211, 471, 1931, 2877, 3635, 9233, 12385, 15741, 50843, 0};
static int joe_kuo_d6_initial_number12758[] = {1, 1, 3, 13, 23, 33, 71, 45, 371, 621, 1057, 1605, 6329, 3763, 8613, 2965, 8141, 0};
static int joe_kuo_d6_initial_number12759[] = {1, 1, 5, 7, 7, 17, 33, 209, 293, 35, 1665, 3721, 6245, 14567, 15349, 16195, 59757, 0};
static int joe_kuo_d6_initial_number12760[] = {1, 1, 7, 7, 31, 19, 47, 83, 277, 323, 1225, 969, 2193, 10175, 27657, 50265, 9817, 0};
static int joe_kuo_d6_initial_number12761[] = {1, 1, 5, 7, 15, 21, 103, 95, 189, 737, 309, 357, 5953, 9701, 15757, 20753, 88647, 0};
static int joe_kuo_d6_initial_number12762[] = {1, 1, 5, 13, 5, 13, 61, 235, 333, 889, 1559, 1653, 1871, 10631, 18067, 47037, 9507, 0};
static int joe_kuo_d6_initial_number12763[] = {1, 3, 7, 1, 31, 61, 69, 159, 41, 107, 807, 1517, 3551, 3435, 6151, 50025, 126949, 0};
static int joe_kuo_d6_initial_number12764[] = {1, 1, 7, 15, 7, 41, 55, 103, 9, 105, 1397, 3955, 7723, 3389, 32435, 36005, 73733, 0};
static int joe_kuo_d6_initial_number12765[] = {1, 1, 1, 13, 15, 59, 43, 151, 321, 215, 411, 3103, 7455, 14041, 1673, 56425, 59085, 0};
static int joe_kuo_d6_initial_number12766[] = {1, 1, 1, 1, 5, 39, 81, 183, 509, 455, 753, 3743, 227, 7807, 23747, 42289, 122765, 0};
static int joe_kuo_d6_initial_number12767[] = {1, 1, 7, 3, 9, 29, 89, 131, 141, 851, 1221, 67, 3117, 1329, 13151, 36827, 34313, 0};
static int joe_kuo_d6_initial_number12768[] = {1, 3, 1, 5, 9, 29, 11, 189, 389, 79, 1903, 835, 6043, 8953, 18985, 8305, 51939, 0};
static int joe_kuo_d6_initial_number12769[] = {1, 3, 5, 3, 9, 49, 47, 43, 193, 917, 795, 2719, 5709, 9993, 30637, 26841, 93113, 0};
static int joe_kuo_d6_initial_number12770[] = {1, 3, 7, 5, 13, 15, 85, 169, 315, 963, 617, 1191, 6739, 11535, 3423, 6695, 2047, 0};
static int joe_kuo_d6_initial_number12771[] = {1, 3, 1, 3, 5, 49, 41, 255, 131, 255, 825, 1485, 7005, 10107, 3913, 4731, 33199, 0};
static int joe_kuo_d6_initial_number12772[] = {1, 3, 1, 9, 27, 63, 109, 29, 183, 381, 591, 617, 1187, 4381, 30543, 9933, 109785, 0};
static int joe_kuo_d6_initial_number12773[] = {1, 3, 7, 7, 13, 29, 125, 105, 353, 677, 623, 1553, 5435, 10853, 16663, 42277, 64333, 0};
static int joe_kuo_d6_initial_number12774[] = {1, 3, 3, 11, 3, 47, 49, 41, 249, 497, 963, 237, 625, 11303, 6871, 60441, 39559, 0};
static int joe_kuo_d6_initial_number12775[] = {1, 3, 3, 1, 1, 27, 107, 253, 59, 445, 1761, 2865, 7117, 2363, 4007, 46047, 10811, 0};
static int joe_kuo_d6_initial_number12776[] = {1, 3, 5, 5, 25, 13, 17, 107, 321, 691, 351, 577, 5001, 9437, 12451, 44997, 42727, 0};
static int joe_kuo_d6_initial_number12777[] = {1, 3, 1, 9, 1, 31, 87, 117, 111, 379, 1989, 1155, 4777, 8563, 14585, 33375, 66985, 0};
static int joe_kuo_d6_initial_number12778[] = {1, 3, 5, 5, 9, 51, 79, 135, 89, 929, 277, 763, 5569, 15545, 28393, 56921, 102093, 0};
static int joe_kuo_d6_initial_number12779[] = {1, 1, 3, 7, 7, 55, 15, 37, 3, 439, 577, 2051, 101, 13655, 11959, 38127, 6639, 0};
static int joe_kuo_d6_initial_number12780[] = {1, 1, 3, 9, 21, 11, 27, 221, 465, 565, 1313, 1405, 2421, 10543, 18369, 33751, 87785, 0};
static int joe_kuo_d6_initial_number12781[] = {1, 3, 5, 11, 21, 39, 105, 231, 469, 711, 997, 427, 5797, 3249, 15141, 29413, 66509, 0};
static int joe_kuo_d6_initial_number12782[] = {1, 3, 7, 5, 25, 31, 111, 37, 229, 773, 193, 553, 673, 4693, 24441, 8713, 121203, 0};
static int joe_kuo_d6_initial_number12783[] = {1, 3, 1, 9, 23, 27, 103, 7, 183, 549, 1433, 2831, 3383, 13229, 10005, 14135, 15967, 0};
static int joe_kuo_d6_initial_number12784[] = {1, 3, 3, 11, 11, 59, 11, 251, 373, 399, 255, 1177, 5493, 13559, 29037, 23405, 79495, 0};
static int joe_kuo_d6_initial_number12785[] = {1, 3, 1, 11, 25, 45, 69, 115, 153, 259, 527, 9, 5807, 6015, 3765, 61621, 8645, 0};
static int joe_kuo_d6_initial_number12786[] = {1, 3, 3, 9, 19, 5, 113, 191, 345, 655, 429, 3975, 4297, 5723, 5345, 64457, 79031, 0};
static int joe_kuo_d6_initial_number12787[] = {1, 3, 7, 7, 15, 59, 5, 87, 289, 1005, 931, 2403, 485, 16043, 15623, 39253, 61377, 0};
static int joe_kuo_d6_initial_number12788[] = {1, 3, 3, 9, 17, 53, 31, 9, 217, 711, 1007, 1375, 2733, 13735, 19825, 59741, 83827, 0};
static int joe_kuo_d6_initial_number12789[] = {1, 1, 3, 15, 11, 11, 41, 195, 79, 1013, 1353, 1961, 7365, 7533, 13315, 8441, 90705, 0};
static int joe_kuo_d6_initial_number12790[] = {1, 1, 5, 7, 23, 17, 93, 165, 371, 495, 865, 2753, 15, 10729, 16553, 6039, 96721, 0};
static int joe_kuo_d6_initial_number12791[] = {1, 3, 3, 3, 25, 25, 67, 119, 485, 63, 75, 2365, 4711, 16129, 5589, 50621, 1203, 0};
static int joe_kuo_d6_initial_number12792[] = {1, 1, 7, 1, 27, 57, 49, 79, 479, 79, 683, 753, 345, 2007, 18983, 42729, 56369, 0};
static int joe_kuo_d6_initial_number12793[] = {1, 1, 7, 7, 1, 23, 9, 155, 425, 735, 1625, 2271, 7875, 11219, 12147, 52351, 55845, 0};
static int joe_kuo_d6_initial_number12794[] = {1, 1, 1, 9, 13, 11, 67, 139, 259, 59, 1593, 1207, 237, 11683, 24719, 27689, 115617, 0};
static int joe_kuo_d6_initial_number12795[] = {1, 1, 5, 7, 7, 15, 9, 171, 35, 131, 133, 3939, 1401, 6347, 4051, 64235, 68581, 0};
static int joe_kuo_d6_initial_number12796[] = {1, 3, 3, 1, 27, 21, 29, 119, 201, 527, 763, 203, 1139, 3951, 3341, 17023, 13493, 0};
static int joe_kuo_d6_initial_number12797[] = {1, 1, 1, 15, 27, 31, 97, 203, 255, 573, 781, 4095, 3381, 363, 32733, 34517, 77973, 0};
static int joe_kuo_d6_initial_number12798[] = {1, 1, 3, 9, 29, 9, 115, 207, 267, 513, 1071, 3943, 5045, 10071, 6627, 18043, 44289, 0};
static int joe_kuo_d6_initial_number12799[] = {1, 1, 7, 7, 29, 25, 51, 31, 305, 239, 197, 3825, 2363, 4903, 16237, 37571, 66545, 0};
static int joe_kuo_d6_initial_number12800[] = {1, 1, 5, 11, 29, 11, 63, 145, 185, 359, 249, 1179, 105, 1745, 28819, 40513, 74525, 0};
static int joe_kuo_d6_initial_number12801[] = {1, 1, 7, 1, 15, 35, 39, 5, 139, 119, 2047, 3369, 2857, 11037, 30523, 24813, 89209, 0};
static int joe_kuo_d6_initial_number12802[] = {1, 1, 5, 11, 9, 41, 97, 15, 357, 95, 361, 3, 3227, 8445, 16541, 30661, 84215, 0};
static int joe_kuo_d6_initial_number12803[] = {1, 1, 7, 5, 11, 55, 77, 19, 331, 621, 893, 577, 1025, 1561, 32331, 59469, 67065, 0};
static int joe_kuo_d6_initial_number12804[] = {1, 3, 7, 7, 17, 53, 55, 65, 295, 391, 445, 33, 5361, 669, 6447, 3833, 129463, 0};
static int joe_kuo_d6_initial_number12805[] = {1, 3, 7, 5, 21, 5, 83, 207, 485, 597, 1429, 581, 6831, 2885, 24669, 35211, 69549, 0};
static int joe_kuo_d6_initial_number12806[] = {1, 3, 3, 1, 3, 33, 69, 199, 427, 893, 1823, 1291, 4533, 11779, 18515, 17597, 79159, 0};
static int joe_kuo_d6_initial_number12807[] = {1, 3, 1, 1, 17, 41, 91, 21, 509, 875, 777, 639, 4009, 12103, 12947, 58395, 36625, 0};
static int joe_kuo_d6_initial_number12808[] = {1, 1, 7, 15, 13, 11, 19, 243, 365, 661, 1193, 279, 6055, 13921, 5811, 14337, 105375, 0};
static int joe_kuo_d6_initial_number12809[] = {1, 3, 7, 3, 3, 51, 101, 175, 83, 921, 523, 3909, 8003, 1295, 4153, 4757, 107881, 0};
static int joe_kuo_d6_initial_number12810[] = {1, 1, 1, 3, 19, 15, 39, 125, 401, 399, 381, 1123, 2339, 12231, 13387, 50829, 79263, 0};
static int joe_kuo_d6_initial_number12811[] = {1, 3, 1, 1, 15, 13, 55, 181, 53, 671, 1929, 1003, 521, 15279, 1837, 11877, 79241, 0};
static int joe_kuo_d6_initial_number12812[] = {1, 3, 3, 9, 23, 45, 21, 37, 1, 701, 1253, 2595, 6261, 4139, 24443, 6655, 109755, 0};
static int joe_kuo_d6_initial_number12813[] = {1, 3, 7, 1, 1, 13, 57, 41, 95, 985, 1613, 3487, 7509, 213, 32139, 27869, 123589, 0};
static int joe_kuo_d6_initial_number12814[] = {1, 3, 7, 11, 15, 27, 27, 97, 167, 755, 1331, 3961, 3067, 13827, 8983, 8755, 77847, 0};
static int joe_kuo_d6_initial_number12815[] = {1, 1, 5, 13, 5, 59, 51, 193, 339, 837, 137, 3807, 2617, 14449, 11035, 16827, 24531, 0};
static int joe_kuo_d6_initial_number12816[] = {1, 1, 7, 15, 17, 37, 67, 99, 261, 743, 275, 33, 8107, 4959, 9683, 19757, 36471, 0};
static int joe_kuo_d6_initial_number12817[] = {1, 3, 5, 5, 29, 7, 107, 95, 235, 761, 1205, 3125, 4791, 4645, 25623, 6463, 121887, 0};
static int joe_kuo_d6_initial_number12818[] = {1, 3, 1, 1, 19, 19, 73, 189, 243, 669, 489, 1927, 1651, 11391, 30699, 64719, 60359, 0};
static int joe_kuo_d6_initial_number12819[] = {1, 3, 7, 3, 29, 47, 7, 21, 299, 739, 1605, 749, 5755, 11579, 793, 36845, 14695, 0};
static int joe_kuo_d6_initial_number12820[] = {1, 1, 5, 15, 17, 53, 107, 49, 103, 505, 1191, 2881, 7435, 7515, 24237, 5397, 47003, 0};
static int joe_kuo_d6_initial_number12821[] = {1, 1, 7, 15, 25, 45, 121, 157, 313, 709, 1519, 2195, 5487, 1789, 32401, 4197, 9329, 0};
static int joe_kuo_d6_initial_number12822[] = {1, 3, 3, 11, 21, 17, 77, 153, 275, 765, 1943, 3395, 5807, 12809, 29891, 42579, 75565, 0};
static int joe_kuo_d6_initial_number12823[] = {1, 3, 5, 11, 11, 3, 63, 9, 223, 441, 1047, 441, 867, 3399, 15813, 13, 25293, 0};
static int joe_kuo_d6_initial_number12824[] = {1, 1, 7, 1, 17, 25, 1, 7, 211, 117, 1417, 1057, 3369, 13211, 11437, 20877, 114867, 0};
static int joe_kuo_d6_initial_number12825[] = {1, 1, 1, 15, 5, 41, 89, 165, 343, 447, 55, 1013, 8179, 12295, 18615, 23885, 46149, 0};
static int joe_kuo_d6_initial_number12826[] = {1, 1, 5, 1, 15, 37, 109, 141, 323, 151, 1669, 1365, 3047, 13145, 30355, 12377, 102467, 0};
static int joe_kuo_d6_initial_number12827[] = {1, 1, 3, 15, 15, 49, 83, 127, 285, 715, 981, 1153, 3019, 11071, 24229, 63807, 16315, 0};
static int joe_kuo_d6_initial_number12828[] = {1, 1, 3, 1, 23, 35, 21, 179, 83, 929, 1033, 643, 3591, 10363, 7739, 259, 106879, 0};
static int joe_kuo_d6_initial_number12829[] = {1, 1, 5, 7, 19, 9, 63, 241, 387, 851, 1709, 1161, 7469, 2093, 6169, 6085, 29851, 0};
static int joe_kuo_d6_initial_number12830[] = {1, 3, 7, 5, 17, 59, 99, 87, 189, 853, 193, 1191, 5683, 15865, 27791, 55575, 13479, 0};
static int joe_kuo_d6_initial_number12831[] = {1, 3, 3, 3, 25, 51, 81, 129, 365, 319, 179, 2863, 511, 14471, 3689, 59505, 80105, 0};
static int joe_kuo_d6_initial_number12832[] = {1, 1, 1, 15, 5, 33, 69, 35, 429, 715, 1781, 783, 1089, 8969, 26987, 23519, 34227, 0};
static int joe_kuo_d6_initial_number12833[] = {1, 3, 5, 9, 1, 51, 9, 121, 325, 945, 2025, 1985, 7337, 10837, 21299, 20591, 76905, 0};
static int joe_kuo_d6_initial_number12834[] = {1, 3, 7, 3, 15, 51, 19, 109, 297, 491, 15, 1905, 1479, 1997, 18129, 43861, 84925, 0};
static int joe_kuo_d6_initial_number12835[] = {1, 1, 3, 5, 7, 21, 1, 137, 207, 943, 1171, 2019, 6687, 10683, 20937, 34033, 43907, 0};
static int joe_kuo_d6_initial_number12836[] = {1, 1, 1, 11, 25, 21, 47, 227, 247, 933, 471, 955, 4299, 5605, 18469, 62357, 98273, 0};
static int joe_kuo_d6_initial_number12837[] = {1, 1, 5, 13, 21, 39, 41, 23, 493, 311, 1401, 537, 2919, 11519, 12597, 58321, 41401, 0};
static int joe_kuo_d6_initial_number12838[] = {1, 1, 7, 5, 31, 55, 93, 151, 219, 765, 1247, 2775, 7167, 13413, 17071, 57969, 114069, 0};
static int joe_kuo_d6_initial_number12839[] = {1, 3, 1, 15, 31, 41, 85, 161, 379, 337, 1639, 933, 3511, 925, 3523, 52379, 18421, 0};
static int joe_kuo_d6_initial_number12840[] = {1, 3, 3, 11, 17, 17, 71, 11, 291, 305, 1295, 1175, 1803, 6247, 26523, 46467, 126999, 0};
static int joe_kuo_d6_initial_number12841[] = {1, 1, 1, 13, 9, 43, 113, 7, 1, 443, 719, 3045, 2527, 5233, 13969, 50463, 115629, 0};
static int joe_kuo_d6_initial_number12842[] = {1, 1, 1, 13, 9, 31, 87, 119, 351, 53, 985, 2017, 1187, 10429, 13719, 41383, 12749, 0};
static int joe_kuo_d6_initial_number12843[] = {1, 1, 1, 15, 23, 17, 5, 215, 383, 299, 305, 3577, 7707, 6927, 28591, 44287, 65697, 0};
static int joe_kuo_d6_initial_number12844[] = {1, 1, 5, 7, 23, 61, 89, 235, 97, 463, 237, 2117, 5503, 13693, 28231, 7745, 73631, 0};
static int joe_kuo_d6_initial_number12845[] = {1, 3, 7, 3, 17, 43, 73, 245, 145, 267, 855, 187, 6167, 3999, 9935, 14347, 57727, 0};
static int joe_kuo_d6_initial_number12846[] = {1, 1, 7, 3, 25, 47, 11, 221, 425, 527, 1341, 3973, 4635, 16321, 30021, 48547, 109409, 0};
static int joe_kuo_d6_initial_number12847[] = {1, 3, 1, 13, 5, 11, 41, 191, 121, 219, 1315, 583, 2997, 5883, 31689, 64835, 35351, 0};
static int joe_kuo_d6_initial_number12848[] = {1, 1, 3, 3, 15, 47, 49, 115, 107, 757, 329, 1653, 4633, 14605, 1579, 62413, 88685, 0};
static int joe_kuo_d6_initial_number12849[] = {1, 1, 1, 5, 19, 47, 63, 131, 427, 335, 269, 3581, 7613, 15685, 16957, 30487, 94965, 0};
static int joe_kuo_d6_initial_number12850[] = {1, 1, 3, 15, 31, 11, 77, 115, 467, 249, 247, 651, 3769, 3701, 21627, 36219, 77309, 0};
static int joe_kuo_d6_initial_number12851[] = {1, 3, 1, 5, 5, 29, 45, 21, 37, 733, 1773, 2467, 2747, 9391, 5449, 23285, 20089, 0};
static int joe_kuo_d6_initial_number12852[] = {1, 3, 5, 13, 29, 31, 51, 199, 77, 711, 1313, 3303, 2675, 177, 7915, 37129, 123641, 0};
static int joe_kuo_d6_initial_number12853[] = {1, 3, 7, 15, 17, 17, 99, 43, 9, 699, 491, 669, 1313, 1377, 30015, 59261, 97321, 0};
static int joe_kuo_d6_initial_number12854[] = {1, 3, 1, 13, 9, 13, 21, 199, 249, 775, 399, 897, 2205, 15357, 17281, 3193, 255, 0};
static int joe_kuo_d6_initial_number12855[] = {1, 3, 1, 13, 7, 23, 7, 181, 65, 253, 199, 333, 6507, 4409, 13319, 30165, 95191, 0};
static int joe_kuo_d6_initial_number12856[] = {1, 3, 3, 1, 31, 9, 31, 71, 301, 867, 1655, 2065, 597, 15247, 3019, 31763, 91889, 0};
static int joe_kuo_d6_initial_number12857[] = {1, 3, 5, 5, 3, 35, 113, 133, 39, 1013, 991, 3521, 5805, 87, 32393, 28619, 34325, 0};
static int joe_kuo_d6_initial_number12858[] = {1, 3, 1, 9, 15, 27, 45, 85, 61, 99, 1085, 3251, 7085, 4137, 27443, 42581, 94031, 0};
static int joe_kuo_d6_initial_number12859[] = {1, 1, 5, 7, 11, 49, 97, 129, 339, 259, 821, 165, 833, 11383, 21629, 17473, 2947, 0};
static int joe_kuo_d6_initial_number12860[] = {1, 3, 3, 3, 11, 7, 27, 231, 169, 847, 1767, 1823, 3855, 14277, 12457, 55825, 14377, 0};
static int joe_kuo_d6_initial_number12861[] = {1, 1, 7, 3, 27, 5, 47, 193, 207, 747, 271, 3155, 1097, 2229, 4919, 22327, 12659, 0};
static int joe_kuo_d6_initial_number12862[] = {1, 1, 5, 3, 27, 29, 105, 199, 31, 73, 1741, 2173, 4577, 3917, 31513, 45983, 118015, 0};
static int joe_kuo_d6_initial_number12863[] = {1, 1, 3, 1, 19, 5, 23, 249, 35, 891, 1105, 1907, 5453, 1877, 1965, 3169, 107091, 0};
static int joe_kuo_d6_initial_number12864[] = {1, 1, 7, 9, 11, 47, 57, 171, 255, 661, 1925, 2223, 525, 4775, 12327, 8067, 47083, 0};
static int joe_kuo_d6_initial_number12865[] = {1, 3, 3, 11, 29, 43, 37, 33, 459, 117, 7, 1739, 3585, 7429, 2217, 9533, 95299, 0};
static int joe_kuo_d6_initial_number12866[] = {1, 1, 5, 11, 23, 3, 33, 13, 45, 201, 467, 597, 4891, 2673, 32407, 56935, 121991, 0};
static int joe_kuo_d6_initial_number12867[] = {1, 1, 7, 5, 29, 63, 7, 59, 417, 547, 17, 3701, 5775, 1079, 26527, 47187, 14827, 0};
static int joe_kuo_d6_initial_number12868[] = {1, 1, 5, 3, 27, 11, 85, 129, 377, 497, 1659, 1965, 581, 15075, 31265, 195, 62307, 0};
static int joe_kuo_d6_initial_number12869[] = {1, 1, 3, 9, 3, 57, 33, 57, 279, 955, 741, 955, 6501, 8069, 27305, 15363, 34715, 0};
static int joe_kuo_d6_initial_number12870[] = {1, 3, 7, 13, 29, 23, 25, 171, 201, 529, 661, 4089, 5755, 12459, 31269, 9763, 53217, 0};
static int joe_kuo_d6_initial_number12871[] = {1, 3, 7, 1, 3, 19, 27, 201, 261, 421, 1487, 2907, 547, 15791, 7661, 42871, 116343, 0};
static int joe_kuo_d6_initial_number12872[] = {1, 3, 7, 9, 5, 59, 51, 91, 7, 399, 2001, 661, 6577, 7473, 5439, 29073, 3391, 0};
static int joe_kuo_d6_initial_number12873[] = {1, 1, 7, 1, 23, 39, 119, 105, 113, 913, 1097, 2547, 8143, 11409, 23197, 59527, 55677, 0};
static int joe_kuo_d6_initial_number12874[] = {1, 3, 3, 15, 31, 35, 103, 207, 247, 801, 1821, 1995, 4437, 12891, 659, 15687, 53, 0};
static int joe_kuo_d6_initial_number12875[] = {1, 3, 3, 5, 13, 5, 45, 187, 231, 661, 1553, 2909, 3715, 4499, 14773, 5957, 24171, 0};
static int joe_kuo_d6_initial_number12876[] = {1, 1, 1, 11, 3, 53, 93, 29, 379, 713, 299, 445, 2815, 9825, 30941, 22413, 91563, 0};
static int joe_kuo_d6_initial_number12877[] = {1, 3, 1, 1, 27, 31, 111, 83, 349, 895, 1007, 2649, 7139, 5863, 27739, 53099, 6837, 0};
static int joe_kuo_d6_initial_number12878[] = {1, 3, 1, 5, 23, 57, 121, 229, 487, 405, 2001, 2761, 3011, 2219, 10711, 31139, 83809, 0};
static int joe_kuo_d6_initial_number12879[] = {1, 3, 7, 5, 13, 51, 37, 181, 359, 909, 2001, 793, 1143, 9219, 5111, 23021, 126081, 0};
static int joe_kuo_d6_initial_number12880[] = {1, 3, 1, 13, 27, 27, 99, 25, 189, 129, 1831, 1005, 8119, 2557, 26985, 63447, 89693, 0};
static int joe_kuo_d6_initial_number12881[] = {1, 1, 7, 5, 1, 21, 79, 33, 99, 7, 433, 1343, 3121, 3705, 477, 41191, 13749, 0};
static int joe_kuo_d6_initial_number12882[] = {1, 1, 5, 5, 29, 53, 75, 243, 35, 461, 1399, 129, 177, 6533, 22209, 23503, 43819, 0};
static int joe_kuo_d6_initial_number12883[] = {1, 3, 7, 7, 31, 37, 109, 9, 255, 263, 35, 3451, 7629, 9849, 10387, 3165, 120623, 0};
static int joe_kuo_d6_initial_number12884[] = {1, 3, 5, 3, 27, 53, 93, 111, 239, 723, 293, 1481, 4427, 13623, 1989, 47705, 122069, 0};
static int joe_kuo_d6_initial_number12885[] = {1, 3, 7, 7, 31, 37, 37, 213, 191, 627, 1821, 3621, 2875, 15759, 17525, 50969, 35311, 0};
static int joe_kuo_d6_initial_number12886[] = {1, 3, 5, 5, 11, 41, 87, 233, 79, 251, 25, 1385, 3527, 7853, 5541, 36519, 42779, 0};
static int joe_kuo_d6_initial_number12887[] = {1, 3, 1, 5, 9, 1, 117, 11, 61, 879, 553, 383, 6237, 15207, 3057, 28051, 59149, 0};
static int joe_kuo_d6_initial_number12888[] = {1, 1, 1, 15, 15, 7, 37, 133, 81, 815, 893, 2281, 2459, 15325, 20107, 2289, 34535, 0};
static int joe_kuo_d6_initial_number12889[] = {1, 1, 5, 11, 17, 3, 45, 159, 409, 643, 969, 1289, 4353, 10465, 16233, 55561, 111667, 0};
static int joe_kuo_d6_initial_number12890[] = {1, 1, 5, 13, 23, 1, 79, 127, 485, 1013, 629, 791, 853, 9247, 26333, 1123, 17313, 0};
static int joe_kuo_d6_initial_number12891[] = {1, 1, 5, 11, 27, 17, 97, 157, 479, 421, 1739, 3257, 2419, 6673, 2759, 19399, 120305, 0};
static int joe_kuo_d6_initial_number12892[] = {1, 3, 5, 1, 3, 43, 71, 55, 111, 949, 1957, 3777, 3409, 8229, 26585, 49221, 33639, 0};
static int joe_kuo_d6_initial_number12893[] = {1, 3, 7, 9, 17, 45, 71, 71, 417, 1007, 213, 1069, 2693, 5065, 23489, 33363, 120459, 0};
static int joe_kuo_d6_initial_number12894[] = {1, 1, 1, 1, 25, 47, 81, 251, 341, 101, 1941, 1133, 3205, 4141, 26561, 56095, 37193, 0};
static int joe_kuo_d6_initial_number12895[] = {1, 1, 3, 7, 25, 45, 97, 95, 135, 871, 949, 3489, 7593, 10717, 26163, 12711, 76989, 0};
static int joe_kuo_d6_initial_number12896[] = {1, 3, 1, 9, 3, 11, 35, 7, 471, 509, 1335, 385, 1297, 11201, 28553, 51609, 45351, 0};
static int joe_kuo_d6_initial_number12897[] = {1, 1, 5, 11, 21, 23, 105, 31, 125, 5, 1721, 1503, 7807, 13093, 24873, 18467, 30183, 0};
static int joe_kuo_d6_initial_number12898[] = {1, 3, 7, 15, 15, 57, 61, 213, 79, 655, 517, 1031, 6719, 4807, 12805, 2605, 35407, 0};
static int joe_kuo_d6_initial_number12899[] = {1, 1, 3, 15, 21, 5, 93, 61, 103, 945, 935, 115, 1281, 7735, 20723, 37211, 50039, 0};
static int joe_kuo_d6_initial_number12900[] = {1, 3, 3, 15, 19, 51, 79, 187, 127, 205, 121, 701, 6065, 15185, 29343, 58249, 25331, 0};
static int joe_kuo_d6_initial_number12901[] = {1, 3, 3, 15, 17, 49, 23, 163, 201, 809, 1203, 687, 1777, 695, 18779, 31571, 118383, 0};
static int joe_kuo_d6_initial_number12902[] = {1, 1, 1, 5, 25, 45, 121, 223, 233, 193, 1459, 1889, 5537, 4421, 13659, 4591, 112563, 0};
static int joe_kuo_d6_initial_number12903[] = {1, 3, 5, 3, 31, 37, 109, 15, 381, 373, 993, 3633, 641, 4411, 32265, 46481, 49195, 0};
static int joe_kuo_d6_initial_number12904[] = {1, 3, 3, 11, 19, 21, 39, 67, 447, 829, 1163, 55, 2153, 15045, 6643, 48235, 59261, 0};
static int joe_kuo_d6_initial_number12905[] = {1, 3, 3, 1, 7, 63, 37, 71, 35, 601, 1719, 447, 8009, 7235, 13225, 44103, 82409, 0};
static int joe_kuo_d6_initial_number12906[] = {1, 3, 3, 7, 13, 33, 69, 115, 207, 807, 109, 2989, 3727, 9017, 29095, 11377, 122401, 0};
static int joe_kuo_d6_initial_number12907[] = {1, 1, 3, 15, 9, 9, 57, 197, 115, 73, 1277, 1727, 5275, 11897, 12157, 34763, 58273, 0};
static int joe_kuo_d6_initial_number12908[] = {1, 1, 3, 15, 19, 19, 127, 105, 289, 663, 877, 1303, 4901, 8897, 4803, 36853, 93361, 0};
static int joe_kuo_d6_initial_number12909[] = {1, 1, 3, 7, 23, 29, 121, 29, 439, 795, 1469, 523, 7767, 12061, 15613, 57343, 21291, 0};
static int joe_kuo_d6_initial_number12910[] = {1, 1, 1, 9, 25, 29, 15, 165, 383, 233, 91, 2065, 2741, 7809, 5325, 48581, 65551, 0};
static int joe_kuo_d6_initial_number12911[] = {1, 1, 5, 15, 29, 19, 103, 143, 283, 597, 1055, 3525, 6115, 11083, 22497, 42893, 86849, 0};
static int joe_kuo_d6_initial_number12912[] = {1, 1, 1, 15, 13, 43, 75, 157, 267, 519, 1231, 929, 1585, 16137, 1045, 4353, 63473, 0};
static int joe_kuo_d6_initial_number12913[] = {1, 1, 1, 9, 17, 25, 73, 227, 145, 921, 1845, 2057, 3099, 15523, 8993, 14135, 37811, 0};
static int joe_kuo_d6_initial_number12914[] = {1, 3, 3, 15, 17, 57, 107, 215, 271, 841, 1543, 2803, 625, 15359, 13341, 36879, 83191, 0};
static int joe_kuo_d6_initial_number12915[] = {1, 3, 5, 13, 3, 17, 127, 81, 193, 253, 71, 3205, 1157, 1313, 27341, 49657, 96539, 0};
static int joe_kuo_d6_initial_number12916[] = {1, 3, 1, 5, 27, 43, 1, 111, 23, 963, 1853, 925, 7401, 13999, 29797, 47125, 59955, 0};
static int joe_kuo_d6_initial_number12917[] = {1, 3, 3, 1, 31, 55, 107, 121, 37, 159, 61, 577, 5711, 6745, 20077, 42333, 37105, 0};
static int joe_kuo_d6_initial_number12918[] = {1, 1, 5, 3, 31, 11, 1, 7, 295, 515, 203, 707, 2919, 9619, 8877, 45143, 101861, 0};
static int joe_kuo_d6_initial_number12919[] = {1, 3, 7, 11, 5, 23, 71, 9, 99, 947, 1141, 1651, 1903, 13607, 15433, 55005, 127639, 0};
static int joe_kuo_d6_initial_number12920[] = {1, 1, 7, 3, 13, 61, 25, 111, 239, 243, 1069, 3551, 3339, 743, 29921, 21313, 54953, 0};
static int joe_kuo_d6_initial_number12921[] = {1, 1, 3, 3, 23, 7, 21, 47, 367, 871, 1647, 2183, 2615, 2257, 30447, 25761, 110221, 0};
static int joe_kuo_d6_initial_number12922[] = {1, 3, 7, 15, 13, 51, 115, 19, 277, 463, 475, 3467, 7313, 2477, 10841, 13585, 61449, 0};
static int joe_kuo_d6_initial_number12923[] = {1, 1, 7, 9, 1, 27, 111, 209, 391, 621, 1047, 549, 2013, 549, 24213, 6369, 68691, 0};
static int joe_kuo_d6_initial_number12924[] = {1, 1, 1, 11, 19, 59, 11, 107, 79, 1013, 357, 1729, 889, 12823, 6537, 35717, 42761, 0};
static int joe_kuo_d6_initial_number12925[] = {1, 1, 3, 15, 29, 41, 49, 177, 309, 293, 1035, 1481, 1395, 2009, 7917, 365, 28981, 0};
static int joe_kuo_d6_initial_number12926[] = {1, 3, 7, 11, 31, 19, 51, 113, 479, 347, 353, 929, 1089, 3373, 2807, 55201, 23137, 0};
static int joe_kuo_d6_initial_number12927[] = {1, 3, 1, 15, 7, 55, 79, 191, 267, 701, 1885, 1241, 7085, 9835, 24239, 7609, 13967, 0};
static int joe_kuo_d6_initial_number12928[] = {1, 1, 3, 15, 25, 33, 69, 5, 93, 375, 435, 2401, 1591, 8173, 17293, 20281, 63809, 0};
static int joe_kuo_d6_initial_number12929[] = {1, 3, 5, 3, 9, 49, 63, 47, 217, 773, 1241, 1131, 7521, 15607, 24341, 20353, 122801, 0};
static int joe_kuo_d6_initial_number12930[] = {1, 3, 7, 15, 21, 1, 57, 159, 279, 987, 1641, 3883, 1659, 7875, 24857, 33273, 88933, 0};
static int joe_kuo_d6_initial_number12931[] = {1, 1, 3, 11, 3, 23, 45, 31, 279, 643, 1285, 471, 137, 15871, 13927, 52361, 118901, 0};
static int joe_kuo_d6_initial_number12932[] = {1, 3, 1, 15, 27, 51, 83, 19, 299, 213, 1001, 897, 2751, 13085, 20841, 24891, 113173, 0};
static int joe_kuo_d6_initial_number12933[] = {1, 1, 7, 5, 5, 27, 77, 77, 165, 489, 359, 1607, 3903, 16241, 641, 25999, 29279, 0};
static int joe_kuo_d6_initial_number12934[] = {1, 3, 3, 7, 15, 23, 103, 49, 259, 519, 641, 1577, 3713, 12181, 287, 29483, 58505, 0};
static int joe_kuo_d6_initial_number12935[] = {1, 1, 7, 13, 11, 29, 125, 45, 45, 167, 261, 2735, 2421, 15457, 5965, 44005, 82141, 0};
static int joe_kuo_d6_initial_number12936[] = {1, 1, 3, 9, 25, 21, 9, 3, 57, 1017, 1359, 79, 6789, 7805, 20683, 25695, 38893, 0};
static int joe_kuo_d6_initial_number12937[] = {1, 1, 7, 1, 29, 53, 87, 171, 51, 5, 9, 3033, 787, 10611, 15913, 35703, 70459, 0};
static int joe_kuo_d6_initial_number12938[] = {1, 1, 3, 5, 1, 33, 111, 139, 477, 33, 1287, 3615, 5235, 15491, 2915, 47821, 55257, 0};
static int joe_kuo_d6_initial_number12939[] = {1, 1, 1, 13, 5, 23, 55, 225, 303, 587, 1595, 307, 3809, 8093, 13297, 63213, 104317, 0};
static int joe_kuo_d6_initial_number12940[] = {1, 1, 3, 15, 31, 29, 13, 33, 267, 481, 1039, 3805, 2549, 861, 12483, 61829, 127725, 0};
static int joe_kuo_d6_initial_number12941[] = {1, 3, 5, 11, 23, 17, 23, 117, 333, 167, 1965, 1387, 5453, 15545, 123, 12991, 36281, 0};
static int joe_kuo_d6_initial_number12942[] = {1, 3, 5, 1, 3, 9, 25, 55, 497, 951, 1377, 993, 6089, 4801, 32719, 31579, 126663, 0};
static int joe_kuo_d6_initial_number12943[] = {1, 3, 5, 11, 15, 37, 103, 51, 509, 585, 769, 425, 835, 14027, 30265, 55735, 36655, 0};
static int joe_kuo_d6_initial_number12944[] = {1, 1, 1, 13, 9, 49, 105, 61, 493, 3, 1663, 815, 8105, 16361, 32477, 30437, 61519, 0};
static int joe_kuo_d6_initial_number12945[] = {1, 3, 7, 11, 29, 23, 105, 87, 119, 399, 1405, 1515, 7017, 12729, 13769, 29741, 30921, 0};
static int joe_kuo_d6_initial_number12946[] = {1, 3, 7, 13, 13, 7, 93, 227, 489, 843, 923, 3373, 759, 5105, 9059, 21079, 101335, 0};
static int joe_kuo_d6_initial_number12947[] = {1, 1, 1, 1, 29, 53, 119, 227, 171, 363, 289, 827, 425, 12827, 25791, 21587, 109567, 0};
static int joe_kuo_d6_initial_number12948[] = {1, 1, 5, 11, 29, 29, 53, 127, 441, 219, 1049, 275, 525, 5535, 20907, 9299, 76319, 0};
static int joe_kuo_d6_initial_number12949[] = {1, 3, 7, 15, 3, 53, 109, 61, 275, 391, 1147, 2953, 1439, 4417, 679, 10949, 35101, 0};
static int joe_kuo_d6_initial_number12950[] = {1, 1, 5, 13, 9, 1, 109, 137, 249, 835, 721, 129, 2883, 13043, 31827, 36741, 107167, 0};
static int joe_kuo_d6_initial_number12951[] = {1, 1, 5, 9, 27, 17, 117, 121, 111, 433, 743, 1987, 6839, 8439, 2533, 62135, 54281, 0};
static int joe_kuo_d6_initial_number12952[] = {1, 3, 5, 15, 11, 61, 117, 103, 409, 485, 1047, 469, 2245, 7193, 2541, 9399, 88127, 0};
static int joe_kuo_d6_initial_number12953[] = {1, 3, 1, 9, 3, 49, 111, 201, 87, 181, 1243, 3261, 1827, 10385, 13045, 58331, 107729, 0};
static int joe_kuo_d6_initial_number12954[] = {1, 3, 5, 15, 13, 29, 61, 223, 227, 733, 1757, 755, 4231, 13537, 1509, 54623, 120221, 0};
static int joe_kuo_d6_initial_number12955[] = {1, 1, 1, 15, 13, 9, 7, 233, 391, 689, 355, 1203, 5811, 7759, 2647, 54949, 51891, 0};
static int joe_kuo_d6_initial_number12956[] = {1, 1, 3, 1, 3, 27, 95, 51, 497, 315, 915, 1055, 2917, 167, 1849, 26591, 102729, 0};
static int joe_kuo_d6_initial_number12957[] = {1, 3, 7, 13, 1, 51, 3, 113, 437, 449, 1889, 2887, 4735, 5693, 8191, 12847, 52651, 0};
static int joe_kuo_d6_initial_number12958[] = {1, 1, 7, 13, 1, 45, 41, 221, 403, 185, 1653, 1809, 6405, 9193, 1381, 36677, 43255, 0};
static int joe_kuo_d6_initial_number12959[] = {1, 1, 5, 1, 25, 51, 109, 245, 291, 809, 1381, 3235, 5933, 10185, 18663, 15589, 39539, 0};
static int joe_kuo_d6_initial_number12960[] = {1, 3, 3, 1, 27, 29, 3, 227, 275, 705, 489, 681, 323, 7453, 26005, 13791, 115219, 0};
static int joe_kuo_d6_initial_number12961[] = {1, 3, 5, 1, 3, 51, 101, 75, 157, 529, 45, 3105, 3617, 13081, 21665, 50065, 117823, 0};
static int joe_kuo_d6_initial_number12962[] = {1, 3, 5, 15, 9, 43, 41, 169, 391, 455, 1375, 253, 1257, 14427, 16325, 11571, 26361, 0};
static int joe_kuo_d6_initial_number12963[] = {1, 1, 5, 7, 5, 41, 81, 173, 275, 225, 301, 335, 5473, 1509, 20897, 21951, 103967, 0};
static int joe_kuo_d6_initial_number12964[] = {1, 3, 5, 1, 13, 27, 107, 19, 221, 609, 823, 1193, 665, 4947, 11967, 57373, 21665, 0};
static int joe_kuo_d6_initial_number12965[] = {1, 3, 7, 13, 7, 11, 109, 59, 193, 103, 943, 595, 5121, 6159, 2103, 52863, 57541, 0};
static int joe_kuo_d6_initial_number12966[] = {1, 3, 5, 3, 5, 51, 85, 227, 465, 1013, 601, 1687, 7615, 5991, 8635, 64487, 69967, 0};
static int joe_kuo_d6_initial_number12967[] = {1, 3, 1, 11, 29, 49, 79, 25, 447, 119, 569, 383, 5261, 6209, 21965, 40863, 96593, 0};
static int joe_kuo_d6_initial_number12968[] = {1, 1, 3, 13, 9, 49, 59, 93, 369, 789, 1373, 425, 3565, 13357, 17783, 46435, 129653, 0};
static int joe_kuo_d6_initial_number12969[] = {1, 3, 7, 5, 5, 39, 51, 15, 421, 531, 1855, 2105, 5335, 8509, 20841, 44997, 48235, 0};
static int joe_kuo_d6_initial_number12970[] = {1, 3, 7, 3, 27, 47, 113, 1, 453, 565, 1843, 243, 7663, 10697, 7725, 24485, 49435, 0};
static int joe_kuo_d6_initial_number12971[] = {1, 1, 1, 11, 25, 25, 47, 1, 475, 831, 1833, 391, 5173, 14873, 14263, 36061, 26781, 0};
static int joe_kuo_d6_initial_number12972[] = {1, 1, 7, 15, 21, 13, 5, 169, 241, 235, 547, 1565, 2053, 6877, 12811, 22213, 106907, 0};
static int joe_kuo_d6_initial_number12973[] = {1, 3, 7, 1, 21, 11, 101, 115, 243, 985, 1389, 2189, 563, 12453, 14951, 58889, 48079, 0};
static int joe_kuo_d6_initial_number12974[] = {1, 1, 5, 7, 9, 37, 33, 241, 337, 453, 1955, 1731, 4445, 8887, 27715, 63975, 95891, 0};
static int joe_kuo_d6_initial_number12975[] = {1, 1, 5, 1, 23, 21, 95, 237, 241, 991, 1159, 2417, 2279, 8941, 20987, 39773, 79327, 0};
static int joe_kuo_d6_initial_number12976[] = {1, 3, 3, 1, 19, 39, 73, 253, 137, 1009, 1793, 4007, 2017, 7503, 16689, 29013, 41571, 0};
static int joe_kuo_d6_initial_number12977[] = {1, 3, 7, 15, 3, 63, 77, 11, 293, 495, 339, 3525, 5747, 1807, 11705, 55807, 54163, 0};
static int joe_kuo_d6_initial_number12978[] = {1, 3, 7, 3, 25, 41, 127, 23, 113, 807, 387, 3529, 2173, 11217, 21257, 61169, 47749, 0};
static int joe_kuo_d6_initial_number12979[] = {1, 3, 3, 5, 27, 5, 43, 55, 207, 995, 811, 1473, 481, 4317, 2015, 49161, 94711, 0};
static int joe_kuo_d6_initial_number12980[] = {1, 3, 1, 9, 21, 61, 41, 147, 425, 353, 1943, 2455, 379, 10729, 3045, 16013, 44527, 0};
static int joe_kuo_d6_initial_number12981[] = {1, 3, 1, 5, 17, 43, 109, 231, 313, 277, 939, 3491, 5883, 2297, 4763, 33403, 62395, 0};
static int joe_kuo_d6_initial_number12982[] = {1, 1, 3, 9, 1, 49, 37, 145, 383, 467, 621, 2873, 873, 6163, 16475, 49045, 115599, 0};
static int joe_kuo_d6_initial_number12983[] = {1, 1, 1, 9, 5, 15, 125, 157, 459, 727, 807, 2769, 5531, 11531, 4277, 42301, 16969, 0};
static int joe_kuo_d6_initial_number12984[] = {1, 1, 3, 1, 15, 23, 39, 121, 163, 537, 409, 1217, 8007, 5671, 19681, 25371, 69227, 0};
static int joe_kuo_d6_initial_number12985[] = {1, 3, 7, 9, 23, 1, 93, 41, 267, 995, 1917, 3441, 6237, 7233, 30215, 31945, 33967, 0};
static int joe_kuo_d6_initial_number12986[] = {1, 1, 1, 15, 7, 5, 123, 53, 359, 677, 1061, 1649, 651, 14079, 30211, 14827, 123175, 0};
static int joe_kuo_d6_initial_number12987[] = {1, 3, 1, 5, 11, 19, 121, 135, 167, 293, 493, 949, 5459, 11785, 21445, 57161, 129737, 0};
static int joe_kuo_d6_initial_number12988[] = {1, 1, 3, 13, 19, 39, 43, 55, 149, 549, 479, 925, 341, 1151, 12007, 23473, 10671, 0};
static int joe_kuo_d6_initial_number12989[] = {1, 3, 5, 9, 7, 41, 37, 103, 381, 373, 1767, 3959, 3001, 7903, 24033, 55123, 93627, 0};
static int joe_kuo_d6_initial_number12990[] = {1, 3, 3, 3, 31, 27, 93, 175, 393, 575, 703, 3715, 6043, 11763, 7613, 15907, 56821, 0};
static int joe_kuo_d6_initial_number12991[] = {1, 3, 3, 13, 3, 13, 75, 85, 89, 851, 1171, 3075, 5265, 10293, 14745, 32153, 89877, 0};
static int joe_kuo_d6_initial_number12992[] = {1, 1, 7, 11, 1, 25, 101, 149, 187, 197, 1485, 1555, 1599, 7413, 23275, 27093, 73483, 0};
static int joe_kuo_d6_initial_number12993[] = {1, 3, 1, 1, 19, 15, 63, 111, 211, 197, 77, 1683, 3159, 235, 32601, 35715, 59537, 0};
static int joe_kuo_d6_initial_number12994[] = {1, 3, 5, 11, 23, 61, 91, 135, 403, 669, 267, 2507, 2931, 7813, 5047, 40027, 111705, 0};
static int joe_kuo_d6_initial_number12995[] = {1, 1, 5, 13, 7, 5, 65, 37, 87, 405, 335, 1095, 3717, 1717, 31551, 28181, 47407, 0};
static int joe_kuo_d6_initial_number12996[] = {1, 1, 5, 13, 3, 43, 67, 99, 507, 861, 1063, 3003, 6095, 11079, 6919, 41597, 97709, 0};
static int joe_kuo_d6_initial_number12997[] = {1, 1, 3, 1, 7, 23, 109, 161, 321, 499, 549, 363, 2061, 6519, 1531, 1969, 83845, 0};
static int joe_kuo_d6_initial_number12998[] = {1, 3, 7, 5, 17, 39, 55, 59, 455, 433, 601, 365, 7987, 2207, 3463, 31755, 94203, 0};
static int joe_kuo_d6_initial_number12999[] = {1, 3, 5, 5, 29, 61, 79, 101, 125, 1011, 867, 2935, 3269, 13601, 21935, 50355, 65883, 0};
static int joe_kuo_d6_initial_number13000[] = {1, 1, 1, 5, 3, 41, 101, 107, 299, 125, 81, 2421, 2937, 787, 19479, 25803, 74473, 0};
static int joe_kuo_d6_initial_number13001[] = {1, 3, 3, 1, 3, 15, 73, 13, 167, 387, 75, 601, 415, 6927, 32277, 16709, 12477, 0};
static int joe_kuo_d6_initial_number13002[] = {1, 1, 5, 1, 19, 37, 53, 45, 139, 737, 159, 2299, 6219, 11613, 22873, 18303, 56875, 0};
static int joe_kuo_d6_initial_number13003[] = {1, 1, 3, 9, 23, 15, 17, 37, 373, 445, 1369, 2997, 49, 13901, 13155, 37375, 29063, 0};
static int joe_kuo_d6_initial_number13004[] = {1, 3, 3, 11, 17, 1, 45, 91, 445, 631, 1297, 1907, 3765, 13893, 29379, 17939, 36573, 0};
static int joe_kuo_d6_initial_number13005[] = {1, 1, 7, 13, 11, 31, 101, 165, 413, 305, 361, 4019, 3183, 2321, 7819, 49275, 101041, 0};
static int joe_kuo_d6_initial_number13006[] = {1, 1, 7, 1, 13, 43, 125, 165, 357, 293, 1343, 2219, 4189, 6095, 28509, 27763, 53871, 0};
static int joe_kuo_d6_initial_number13007[] = {1, 3, 3, 11, 29, 33, 105, 71, 297, 637, 1493, 3797, 5525, 15093, 21647, 57647, 1467, 0};
static int joe_kuo_d6_initial_number13008[] = {1, 1, 1, 13, 19, 7, 5, 141, 71, 221, 923, 1039, 4777, 9481, 1267, 55345, 116061, 0};
static int joe_kuo_d6_initial_number13009[] = {1, 1, 7, 11, 19, 43, 57, 243, 21, 217, 1075, 569, 3735, 10477, 18595, 34133, 70391, 0};
static int joe_kuo_d6_initial_number13010[] = {1, 3, 3, 1, 21, 61, 7, 135, 401, 101, 321, 2959, 7371, 3303, 23023, 28163, 19833, 0};
static int joe_kuo_d6_initial_number13011[] = {1, 1, 3, 9, 31, 43, 27, 243, 297, 145, 663, 3951, 4283, 10421, 9355, 30381, 68317, 0};
static int joe_kuo_d6_initial_number13012[] = {1, 3, 7, 13, 29, 53, 101, 253, 49, 129, 831, 513, 5567, 5063, 157, 6465, 90983, 0};
static int joe_kuo_d6_initial_number13013[] = {1, 1, 5, 15, 27, 29, 3, 231, 503, 173, 913, 3971, 7685, 9679, 32243, 967, 73195, 0};
static int joe_kuo_d6_initial_number13014[] = {1, 1, 1, 15, 19, 55, 127, 3, 405, 239, 1063, 3473, 7543, 4049, 14509, 22657, 5611, 0};
static int joe_kuo_d6_initial_number13015[] = {1, 3, 7, 1, 21, 39, 61, 249, 421, 401, 1667, 1981, 5503, 9191, 24027, 35049, 12199, 0};
static int joe_kuo_d6_initial_number13016[] = {1, 3, 5, 5, 27, 1, 99, 83, 287, 997, 721, 1345, 2197, 6335, 4245, 42575, 102635, 0};
static int joe_kuo_d6_initial_number13017[] = {1, 3, 3, 1, 31, 7, 103, 107, 387, 273, 951, 2475, 1275, 15607, 2159, 55083, 86107, 0};
static int joe_kuo_d6_initial_number13018[] = {1, 3, 3, 5, 21, 59, 69, 55, 121, 601, 5, 1871, 7161, 4583, 23867, 7933, 3125, 0};
static int joe_kuo_d6_initial_number13019[] = {1, 1, 1, 15, 17, 41, 51, 45, 383, 579, 713, 275, 1395, 11665, 30521, 11683, 126493, 0};
static int joe_kuo_d6_initial_number13020[] = {1, 1, 1, 15, 17, 47, 15, 139, 175, 283, 1377, 827, 5753, 8855, 26437, 59219, 105601, 0};
static int joe_kuo_d6_initial_number13021[] = {1, 1, 7, 11, 13, 3, 27, 141, 137, 851, 767, 2575, 7685, 11719, 24401, 52547, 127299, 0};
static int joe_kuo_d6_initial_number13022[] = {1, 3, 3, 9, 11, 41, 75, 69, 167, 897, 1213, 3723, 6773, 12141, 28033, 19695, 128545, 0};
static int joe_kuo_d6_initial_number13023[] = {1, 1, 5, 13, 7, 61, 55, 131, 465, 169, 1669, 711, 5901, 10769, 11273, 23809, 63625, 0};
static int joe_kuo_d6_initial_number13024[] = {1, 1, 5, 1, 27, 25, 35, 167, 83, 921, 251, 2571, 6723, 14767, 26715, 21699, 60779, 0};
static int joe_kuo_d6_initial_number13025[] = {1, 3, 1, 9, 15, 5, 59, 241, 405, 323, 1917, 1161, 6079, 13443, 13079, 58617, 63381, 0};
static int joe_kuo_d6_initial_number13026[] = {1, 3, 1, 5, 9, 5, 79, 123, 87, 395, 667, 2787, 3711, 3613, 1803, 17885, 78975, 0};
static int joe_kuo_d6_initial_number13027[] = {1, 3, 3, 5, 17, 45, 61, 107, 485, 163, 33, 1491, 7131, 59, 27327, 8043, 14907, 0};
static int joe_kuo_d6_initial_number13028[] = {1, 3, 1, 11, 27, 37, 5, 251, 115, 339, 1621, 2013, 3517, 2213, 10145, 47121, 84485, 0};
static int joe_kuo_d6_initial_number13029[] = {1, 3, 3, 1, 9, 11, 71, 25, 363, 867, 1485, 3897, 3339, 7599, 20777, 52009, 127097, 0};
static int joe_kuo_d6_initial_number13030[] = {1, 1, 3, 9, 25, 37, 29, 231, 183, 315, 399, 879, 6169, 6355, 3729, 9187, 19405, 0};
static int joe_kuo_d6_initial_number13031[] = {1, 3, 5, 3, 31, 37, 127, 71, 171, 687, 1237, 151, 7391, 2395, 11979, 23381, 117879, 0};
static int joe_kuo_d6_initial_number13032[] = {1, 1, 1, 13, 13, 43, 71, 235, 131, 79, 1321, 235, 2221, 1133, 13509, 12205, 44771, 0};
static int joe_kuo_d6_initial_number13033[] = {1, 3, 7, 5, 29, 51, 125, 191, 153, 35, 1657, 2141, 3701, 7177, 31723, 15189, 55441, 0};
static int joe_kuo_d6_initial_number13034[] = {1, 1, 5, 1, 5, 35, 13, 165, 461, 255, 1825, 1531, 6195, 7717, 973, 12367, 71747, 0};
static int joe_kuo_d6_initial_number13035[] = {1, 3, 1, 9, 13, 57, 25, 83, 389, 405, 227, 1037, 3805, 15653, 25365, 47991, 54315, 0};
static int joe_kuo_d6_initial_number13036[] = {1, 1, 1, 13, 17, 55, 113, 151, 145, 951, 1849, 2205, 6513, 7845, 7947, 59429, 44911, 0};
static int joe_kuo_d6_initial_number13037[] = {1, 3, 5, 3, 25, 9, 99, 159, 183, 445, 153, 3053, 2537, 1787, 19029, 60047, 128203, 0};
static int joe_kuo_d6_initial_number13038[] = {1, 1, 5, 5, 31, 37, 13, 11, 271, 491, 1141, 1827, 3751, 9471, 7579, 35969, 95245, 0};
static int joe_kuo_d6_initial_number13039[] = {1, 3, 3, 15, 1, 43, 9, 109, 13, 991, 345, 1577, 947, 3197, 16747, 8127, 116937, 0};
static int joe_kuo_d6_initial_number13040[] = {1, 3, 3, 15, 11, 17, 103, 89, 33, 741, 1855, 2879, 3899, 9535, 15119, 56165, 86055, 0};
static int joe_kuo_d6_initial_number13041[] = {1, 3, 5, 1, 31, 41, 57, 205, 69, 163, 1383, 2087, 6483, 6281, 32079, 40825, 28709, 0};
static int joe_kuo_d6_initial_number13042[] = {1, 1, 1, 13, 23, 57, 103, 247, 421, 773, 1733, 3249, 6681, 9675, 11669, 51673, 86189, 0};
static int joe_kuo_d6_initial_number13043[] = {1, 1, 5, 15, 7, 37, 63, 123, 77, 941, 277, 1061, 803, 2135, 15745, 47413, 73843, 0};
static int joe_kuo_d6_initial_number13044[] = {1, 1, 3, 5, 19, 15, 35, 59, 321, 527, 1669, 2929, 513, 4453, 20521, 19781, 115501, 0};
static int joe_kuo_d6_initial_number13045[] = {1, 1, 7, 3, 23, 1, 99, 251, 129, 271, 1555, 1191, 2445, 11533, 11921, 19131, 80653, 0};
static int joe_kuo_d6_initial_number13046[] = {1, 1, 7, 15, 15, 33, 79, 89, 113, 517, 1655, 43, 6255, 15415, 19559, 63309, 16857, 0};
static int joe_kuo_d6_initial_number13047[] = {1, 3, 5, 1, 13, 61, 87, 159, 65, 875, 163, 663, 7651, 8775, 32505, 39313, 83331, 0};
static int joe_kuo_d6_initial_number13048[] = {1, 1, 7, 15, 27, 19, 63, 117, 427, 233, 1243, 755, 3201, 5153, 31959, 64545, 69219, 0};
static int joe_kuo_d6_initial_number13049[] = {1, 1, 5, 3, 3, 27, 15, 11, 427, 431, 107, 2433, 6923, 7503, 31347, 64849, 14541, 0};
static int joe_kuo_d6_initial_number13050[] = {1, 1, 3, 11, 7, 23, 53, 253, 483, 63, 1749, 2989, 5219, 7361, 6423, 1503, 95431, 0};
static int joe_kuo_d6_initial_number13051[] = {1, 1, 5, 9, 1, 19, 23, 25, 301, 665, 1457, 2423, 6623, 9771, 2755, 8963, 51037, 0};
static int joe_kuo_d6_initial_number13052[] = {1, 3, 3, 7, 21, 1, 3, 131, 377, 897, 15, 437, 4075, 7669, 31529, 64123, 101249, 0};
static int joe_kuo_d6_initial_number13053[] = {1, 3, 5, 3, 31, 41, 99, 27, 397, 393, 1895, 2249, 3925, 6393, 2839, 375, 56721, 0};
static int joe_kuo_d6_initial_number13054[] = {1, 3, 7, 15, 1, 45, 65, 113, 85, 557, 857, 2281, 1395, 2055, 2405, 34541, 63719, 0};
static int joe_kuo_d6_initial_number13055[] = {1, 3, 1, 15, 7, 43, 21, 29, 15, 229, 1287, 3005, 339, 5833, 21867, 21643, 37557, 0};
static int joe_kuo_d6_initial_number13056[] = {1, 3, 7, 3, 3, 51, 67, 119, 423, 539, 1995, 4039, 2999, 2787, 29327, 62687, 11893, 0};
static int joe_kuo_d6_initial_number13057[] = {1, 3, 7, 3, 25, 23, 85, 11, 105, 523, 889, 2983, 2031, 2049, 16119, 41925, 38345, 0};
static int joe_kuo_d6_initial_number13058[] = {1, 3, 7, 3, 13, 63, 59, 65, 183, 695, 293, 3301, 7895, 13915, 25847, 22819, 92189, 0};
static int joe_kuo_d6_initial_number13059[] = {1, 1, 3, 3, 7, 27, 101, 229, 435, 227, 1759, 1275, 5781, 6079, 25125, 64833, 69577, 0};
static int joe_kuo_d6_initial_number13060[] = {1, 1, 3, 1, 29, 1, 61, 45, 193, 441, 687, 841, 4491, 10683, 13989, 60461, 78071, 0};
static int joe_kuo_d6_initial_number13061[] = {1, 3, 1, 9, 5, 33, 99, 229, 181, 675, 1629, 1855, 4719, 9585, 8059, 26363, 31161, 0};
static int joe_kuo_d6_initial_number13062[] = {1, 3, 1, 11, 11, 37, 79, 53, 163, 49, 1173, 1715, 8087, 6535, 14985, 24069, 118597, 0};
static int joe_kuo_d6_initial_number13063[] = {1, 1, 7, 15, 9, 59, 123, 79, 237, 131, 1693, 2525, 6339, 9843, 24309, 24969, 37645, 0};
static int joe_kuo_d6_initial_number13064[] = {1, 3, 3, 7, 19, 49, 85, 133, 415, 239, 555, 2581, 6523, 2733, 19665, 19989, 105585, 0};
static int joe_kuo_d6_initial_number13065[] = {1, 3, 3, 7, 23, 37, 31, 121, 59, 7, 2031, 2893, 6429, 10305, 21221, 20105, 38879, 0};
static int joe_kuo_d6_initial_number13066[] = {1, 3, 1, 13, 23, 21, 93, 93, 343, 641, 411, 971, 1777, 2135, 22895, 9055, 114457, 0};
static int joe_kuo_d6_initial_number13067[] = {1, 3, 5, 3, 15, 33, 23, 7, 59, 413, 277, 3551, 7737, 2285, 7951, 5013, 94469, 0};
static int joe_kuo_d6_initial_number13068[] = {1, 3, 1, 15, 25, 1, 109, 245, 153, 187, 1099, 1071, 145, 6735, 10327, 3921, 62123, 0};
static int joe_kuo_d6_initial_number13069[] = {1, 1, 7, 11, 11, 53, 51, 123, 277, 281, 1763, 3161, 7639, 14515, 29725, 3919, 5525, 0};
static int joe_kuo_d6_initial_number13070[] = {1, 3, 3, 15, 27, 47, 109, 121, 317, 221, 187, 617, 1331, 5401, 861, 62465, 9227, 0};
static int joe_kuo_d6_initial_number13071[] = {1, 3, 3, 15, 27, 25, 101, 111, 469, 85, 1285, 1621, 5393, 1367, 17115, 35141, 126989, 0};
static int joe_kuo_d6_initial_number13072[] = {1, 3, 5, 1, 15, 23, 25, 249, 69, 17, 1103, 2603, 59, 15637, 22051, 29243, 53113, 0};
static int joe_kuo_d6_initial_number13073[] = {1, 3, 1, 9, 17, 49, 73, 13, 207, 963, 379, 3561, 6447, 7895, 18651, 8109, 3943, 0};
static int joe_kuo_d6_initial_number13074[] = {1, 3, 5, 11, 7, 41, 55, 85, 481, 831, 593, 4093, 1151, 12353, 24231, 46091, 80967, 0};
static int joe_kuo_d6_initial_number13075[] = {1, 3, 7, 7, 5, 39, 47, 187, 427, 1007, 813, 3617, 6063, 12981, 18573, 34061, 85741, 0};
static int joe_kuo_d6_initial_number13076[] = {1, 3, 3, 11, 9, 17, 29, 141, 341, 485, 1075, 4067, 7247, 11295, 31803, 18347, 54985, 0};
static int joe_kuo_d6_initial_number13077[] = {1, 1, 3, 7, 17, 25, 7, 29, 355, 35, 1753, 669, 4123, 4293, 22875, 36677, 61201, 0};
static int joe_kuo_d6_initial_number13078[] = {1, 1, 5, 9, 13, 45, 29, 153, 169, 387, 1275, 3161, 4937, 5331, 16203, 43925, 129231, 0};
static int joe_kuo_d6_initial_number13079[] = {1, 3, 3, 9, 19, 27, 109, 95, 499, 929, 1627, 3215, 6097, 15837, 5655, 29877, 122513, 0};
static int joe_kuo_d6_initial_number13080[] = {1, 3, 7, 11, 1, 25, 15, 41, 65, 411, 289, 883, 5069, 8405, 11159, 57357, 114253, 0};
static int joe_kuo_d6_initial_number13081[] = {1, 1, 3, 11, 31, 57, 39, 89, 77, 321, 1667, 871, 6429, 1005, 18905, 13877, 9305, 0};
static int joe_kuo_d6_initial_number13082[] = {1, 1, 7, 7, 27, 57, 23, 37, 281, 625, 1871, 565, 5979, 13925, 22591, 2375, 8577, 0};
static int joe_kuo_d6_initial_number13083[] = {1, 1, 1, 7, 31, 35, 91, 221, 495, 811, 1321, 2235, 4287, 3009, 5745, 35013, 93715, 0};
static int joe_kuo_d6_initial_number13084[] = {1, 1, 7, 3, 11, 53, 17, 13, 319, 225, 117, 3365, 537, 5249, 14219, 23879, 4321, 0};
static int joe_kuo_d6_initial_number13085[] = {1, 3, 5, 1, 31, 57, 35, 95, 257, 933, 471, 627, 6733, 8707, 25173, 44291, 105041, 0};
static int joe_kuo_d6_initial_number13086[] = {1, 1, 3, 3, 31, 53, 69, 19, 277, 669, 497, 3957, 2781, 14107, 27741, 53519, 41057, 0};
static int joe_kuo_d6_initial_number13087[] = {1, 1, 3, 15, 11, 21, 11, 25, 257, 665, 491, 2119, 3893, 14401, 29147, 3369, 116569, 0};
static int joe_kuo_d6_initial_number13088[] = {1, 3, 1, 1, 13, 49, 31, 231, 217, 711, 1987, 1487, 7073, 473, 28781, 51283, 86049, 0};
static int joe_kuo_d6_initial_number13089[] = {1, 1, 1, 5, 23, 31, 119, 115, 381, 179, 1725, 2323, 8013, 15191, 13255, 57813, 95437, 0};
static int joe_kuo_d6_initial_number13090[] = {1, 1, 3, 15, 15, 37, 83, 223, 259, 605, 2013, 4089, 395, 2063, 11735, 51931, 74677, 0};
static int joe_kuo_d6_initial_number13091[] = {1, 1, 7, 3, 1, 61, 107, 169, 213, 789, 425, 2309, 225, 1305, 20697, 26281, 60129, 0};
static int joe_kuo_d6_initial_number13092[] = {1, 1, 5, 15, 27, 15, 69, 169, 289, 931, 1491, 3711, 6875, 7723, 21103, 31795, 53955, 0};
static int joe_kuo_d6_initial_number13093[] = {1, 1, 1, 3, 3, 43, 49, 205, 247, 817, 2037, 2305, 7935, 255, 18835, 49423, 90727, 0};
static int joe_kuo_d6_initial_number13094[] = {1, 3, 7, 9, 17, 3, 95, 239, 431, 665, 1271, 3559, 5703, 14607, 9723, 11807, 122937, 0};
static int joe_kuo_d6_initial_number13095[] = {1, 3, 5, 13, 5, 15, 13, 111, 375, 895, 833, 813, 5451, 13841, 1321, 25273, 25443, 0};
static int joe_kuo_d6_initial_number13096[] = {1, 1, 3, 1, 11, 49, 3, 97, 467, 631, 51, 3577, 1777, 15965, 6837, 38827, 68627, 0};
static int joe_kuo_d6_initial_number13097[] = {1, 1, 7, 1, 3, 11, 73, 155, 77, 623, 811, 337, 6837, 10925, 2097, 28325, 97487, 0};
static int joe_kuo_d6_initial_number13098[] = {1, 1, 1, 3, 29, 35, 9, 215, 415, 143, 1837, 3723, 73, 11305, 23187, 19995, 52987, 0};
static int joe_kuo_d6_initial_number13099[] = {1, 1, 7, 1, 25, 39, 35, 67, 245, 295, 1143, 2043, 1049, 629, 14111, 62893, 86899, 0};
static int joe_kuo_d6_initial_number13100[] = {1, 3, 7, 5, 3, 41, 123, 97, 241, 743, 259, 3163, 2289, 6363, 24033, 10789, 44117, 0};
static int joe_kuo_d6_initial_number13101[] = {1, 3, 1, 7, 25, 33, 33, 17, 359, 567, 901, 3595, 179, 8671, 841, 24787, 4367, 0};
static int joe_kuo_d6_initial_number13102[] = {1, 3, 1, 13, 5, 13, 57, 185, 321, 727, 789, 3081, 5345, 9721, 32029, 11663, 55695, 0};
static int joe_kuo_d6_initial_number13103[] = {1, 1, 7, 7, 5, 51, 85, 255, 329, 263, 297, 1687, 6799, 10973, 8265, 19615, 115333, 0};
static int joe_kuo_d6_initial_number13104[] = {1, 1, 1, 5, 29, 27, 55, 167, 465, 73, 661, 137, 7831, 2571, 15373, 64223, 27335, 0};
static int joe_kuo_d6_initial_number13105[] = {1, 3, 7, 13, 5, 23, 77, 15, 345, 21, 1729, 3231, 967, 12573, 31415, 24249, 110525, 0};
static int joe_kuo_d6_initial_number13106[] = {1, 1, 7, 9, 31, 37, 41, 119, 169, 891, 1845, 2139, 1747, 1147, 21983, 11617, 25963, 0};
static int joe_kuo_d6_initial_number13107[] = {1, 3, 3, 7, 23, 5, 1, 11, 95, 795, 1371, 2631, 3241, 6935, 17353, 25013, 89765, 0};
static int joe_kuo_d6_initial_number13108[] = {1, 3, 1, 7, 19, 3, 121, 19, 389, 117, 1905, 3135, 7601, 12541, 20855, 38613, 15005, 0};
static int joe_kuo_d6_initial_number13109[] = {1, 3, 3, 5, 17, 43, 91, 99, 113, 545, 1955, 37, 3411, 15173, 24961, 28761, 15245, 0};
static int joe_kuo_d6_initial_number13110[] = {1, 3, 3, 13, 25, 9, 83, 17, 17, 271, 1133, 3851, 4607, 11017, 14867, 20677, 42881, 0};
static int joe_kuo_d6_initial_number13111[] = {1, 1, 5, 15, 5, 9, 99, 179, 263, 623, 441, 2577, 189, 11595, 21505, 27215, 54081, 0};
static int joe_kuo_d6_initial_number13112[] = {1, 1, 7, 1, 1, 63, 123, 119, 245, 467, 169, 3075, 909, 3581, 14571, 33071, 6261, 0};
static int joe_kuo_d6_initial_number13113[] = {1, 1, 1, 13, 9, 35, 47, 161, 47, 893, 57, 703, 3373, 4167, 26555, 51265, 1391, 0};
static int joe_kuo_d6_initial_number13114[] = {1, 3, 1, 13, 9, 61, 9, 5, 47, 259, 579, 113, 355, 14539, 25757, 10119, 96869, 0};
static int joe_kuo_d6_initial_number13115[] = {1, 1, 5, 11, 3, 5, 61, 231, 291, 21, 1711, 2981, 4727, 14287, 12149, 40275, 51809, 0};
static int joe_kuo_d6_initial_number13116[] = {1, 3, 5, 3, 21, 5, 87, 251, 373, 679, 949, 1023, 5183, 14549, 4135, 54927, 20369, 0};
static int joe_kuo_d6_initial_number13117[] = {1, 3, 3, 11, 7, 43, 127, 97, 469, 81, 1843, 3955, 125, 8607, 27185, 50761, 122753, 0};
static int joe_kuo_d6_initial_number13118[] = {1, 3, 5, 5, 25, 61, 1, 55, 333, 949, 1005, 1051, 6291, 8343, 9627, 37739, 116911, 0};
static int joe_kuo_d6_initial_number13119[] = {1, 3, 3, 13, 21, 9, 67, 225, 179, 837, 2009, 3171, 217, 5629, 23451, 63171, 53225, 0};
static int joe_kuo_d6_initial_number13120[] = {1, 3, 7, 1, 23, 15, 91, 163, 351, 883, 579, 3923, 2641, 12735, 24955, 1131, 65119, 0};
static int joe_kuo_d6_initial_number13121[] = {1, 1, 1, 11, 29, 5, 113, 217, 171, 535, 913, 2419, 3843, 12365, 8287, 27367, 57369, 0};
static int joe_kuo_d6_initial_number13122[] = {1, 1, 5, 11, 9, 41, 57, 243, 123, 159, 1517, 2653, 4307, 4243, 2801, 43131, 18435, 0};
static int joe_kuo_d6_initial_number13123[] = {1, 1, 7, 9, 23, 59, 83, 159, 57, 723, 1635, 7, 1463, 121, 541, 7657, 83917, 0};
static int joe_kuo_d6_initial_number13124[] = {1, 3, 7, 7, 23, 27, 125, 103, 247, 1019, 1063, 3979, 8085, 6449, 12443, 63427, 106235, 0};
static int joe_kuo_d6_initial_number13125[] = {1, 1, 7, 5, 9, 31, 23, 83, 503, 605, 1731, 3341, 7427, 14571, 5981, 39043, 42965, 0};
static int joe_kuo_d6_initial_number13126[] = {1, 3, 5, 1, 17, 49, 109, 171, 301, 951, 1879, 1317, 457, 8085, 6803, 62521, 67871, 0};
static int joe_kuo_d6_initial_number13127[] = {1, 1, 7, 11, 11, 27, 1, 71, 335, 137, 265, 1267, 6399, 14823, 925, 49895, 19731, 0};
static int joe_kuo_d6_initial_number13128[] = {1, 3, 1, 13, 3, 35, 75, 253, 211, 483, 1495, 3695, 3033, 14643, 1861, 51269, 32655, 0};
static int joe_kuo_d6_initial_number13129[] = {1, 3, 7, 1, 5, 17, 63, 1, 83, 435, 2007, 2023, 57, 8639, 27067, 4039, 1955, 0};
static int joe_kuo_d6_initial_number13130[] = {1, 3, 5, 15, 27, 51, 59, 47, 77, 131, 507, 559, 645, 16067, 20989, 15565, 39925, 0};
static int joe_kuo_d6_initial_number13131[] = {1, 3, 3, 5, 11, 15, 63, 121, 39, 1019, 1027, 2821, 3297, 13769, 18587, 14199, 82251, 0};
static int joe_kuo_d6_initial_number13132[] = {1, 1, 5, 1, 31, 11, 89, 75, 147, 1007, 917, 3519, 5097, 5695, 15185, 14819, 38597, 0};
static int joe_kuo_d6_initial_number13133[] = {1, 3, 3, 3, 15, 7, 127, 55, 83, 887, 1901, 75, 639, 713, 13631, 27447, 106707, 0};
static int joe_kuo_d6_initial_number13134[] = {1, 3, 3, 15, 27, 25, 85, 163, 187, 959, 815, 1403, 6129, 6515, 31597, 28307, 30077, 0};
static int joe_kuo_d6_initial_number13135[] = {1, 3, 1, 13, 5, 19, 117, 89, 11, 489, 845, 2899, 3695, 3279, 22355, 38759, 85849, 0};
static int joe_kuo_d6_initial_number13136[] = {1, 3, 1, 7, 25, 59, 109, 185, 87, 591, 825, 1119, 7439, 5451, 17959, 51299, 76693, 0};
static int joe_kuo_d6_initial_number13137[] = {1, 1, 7, 5, 25, 29, 115, 249, 185, 529, 593, 103, 1739, 4769, 25925, 3317, 102445, 0};
static int joe_kuo_d6_initial_number13138[] = {1, 1, 3, 1, 3, 35, 19, 255, 279, 295, 1075, 2817, 3513, 7501, 15885, 21653, 113447, 0};
static int joe_kuo_d6_initial_number13139[] = {1, 3, 1, 5, 27, 1, 21, 137, 303, 981, 631, 2339, 397, 13075, 28815, 50925, 44379, 0};
static int joe_kuo_d6_initial_number13140[] = {1, 1, 7, 7, 31, 31, 59, 129, 105, 181, 1041, 2685, 1061, 1721, 30365, 6873, 30011, 0};
static int joe_kuo_d6_initial_number13141[] = {1, 1, 3, 1, 19, 31, 125, 39, 9, 631, 1239, 1061, 6313, 9639, 5991, 27293, 84635, 0};
static int joe_kuo_d6_initial_number13142[] = {1, 3, 3, 11, 17, 59, 17, 241, 195, 175, 1845, 251, 3323, 13399, 20493, 15241, 69303, 0};
static int joe_kuo_d6_initial_number13143[] = {1, 1, 5, 3, 9, 19, 59, 25, 49, 359, 263, 4045, 1527, 6703, 555, 26413, 42757, 0};
static int joe_kuo_d6_initial_number13144[] = {1, 1, 5, 9, 23, 5, 7, 223, 247, 407, 1079, 1069, 3417, 14795, 5015, 2965, 99059, 0};
static int joe_kuo_d6_initial_number13145[] = {1, 3, 7, 5, 27, 47, 9, 37, 47, 181, 819, 2049, 2643, 9231, 8173, 33495, 91321, 0};
static int joe_kuo_d6_initial_number13146[] = {1, 3, 5, 11, 5, 27, 5, 237, 349, 653, 1443, 137, 7969, 5961, 24749, 37523, 88921, 0};
static int joe_kuo_d6_initial_number13147[] = {1, 3, 7, 13, 11, 51, 49, 71, 339, 195, 1239, 3479, 2771, 15217, 23729, 7839, 32633, 0};
static int joe_kuo_d6_initial_number13148[] = {1, 1, 5, 5, 5, 13, 103, 185, 13, 273, 1793, 761, 5327, 8659, 32599, 38181, 121115, 0};
static int joe_kuo_d6_initial_number13149[] = {1, 3, 7, 15, 17, 55, 69, 151, 231, 421, 1679, 3657, 8001, 12599, 13761, 13517, 130199, 0};
static int joe_kuo_d6_initial_number13150[] = {1, 1, 5, 3, 5, 15, 15, 61, 489, 219, 925, 2329, 3415, 10779, 31297, 63805, 13375, 0};
static int joe_kuo_d6_initial_number13151[] = {1, 1, 7, 9, 7, 11, 87, 45, 39, 885, 87, 1877, 8135, 1247, 25685, 23631, 65579, 0};
static int joe_kuo_d6_initial_number13152[] = {1, 3, 3, 7, 1, 17, 31, 75, 455, 535, 509, 2151, 1737, 7579, 12727, 25139, 32659, 0};
static int joe_kuo_d6_initial_number13153[] = {1, 3, 5, 7, 15, 27, 111, 145, 99, 767, 167, 3391, 2155, 7895, 3405, 47451, 65185, 0};
static int joe_kuo_d6_initial_number13154[] = {1, 1, 1, 3, 23, 31, 15, 53, 59, 787, 431, 2691, 71, 2843, 13469, 54029, 2233, 0};
static int joe_kuo_d6_initial_number13155[] = {1, 1, 5, 1, 5, 39, 57, 31, 75, 507, 811, 2747, 317, 13545, 7395, 65161, 87987, 0};
static int joe_kuo_d6_initial_number13156[] = {1, 3, 5, 5, 13, 17, 11, 89, 371, 337, 913, 2775, 27, 4923, 24013, 62955, 65185, 0};
static int joe_kuo_d6_initial_number13157[] = {1, 3, 3, 7, 9, 27, 91, 187, 17, 443, 807, 853, 6243, 12351, 8123, 4203, 61021, 0};
static int joe_kuo_d6_initial_number13158[] = {1, 1, 1, 5, 9, 33, 101, 211, 205, 701, 1289, 1253, 653, 8591, 13009, 48525, 77051, 0};
static int joe_kuo_d6_initial_number13159[] = {1, 3, 5, 11, 5, 19, 1, 67, 259, 355, 15, 2169, 6785, 2019, 8675, 1019, 85903, 0};
static int joe_kuo_d6_initial_number13160[] = {1, 3, 7, 5, 27, 31, 103, 163, 369, 685, 659, 2009, 5819, 10437, 17311, 35083, 122125, 0};
static int joe_kuo_d6_initial_number13161[] = {1, 3, 5, 7, 19, 13, 93, 113, 377, 359, 1697, 4063, 4379, 9321, 7335, 25491, 85939, 0};
static int joe_kuo_d6_initial_number13162[] = {1, 3, 3, 5, 7, 25, 41, 225, 355, 257, 743, 2067, 7627, 14317, 7385, 25187, 63103, 0};
static int joe_kuo_d6_initial_number13163[] = {1, 1, 7, 7, 17, 43, 75, 1, 95, 547, 1937, 2263, 1709, 5067, 22651, 55733, 44619, 0};
static int joe_kuo_d6_initial_number13164[] = {1, 1, 7, 3, 5, 27, 45, 23, 107, 547, 1733, 1169, 6709, 861, 4439, 55381, 96447, 0};
static int joe_kuo_d6_initial_number13165[] = {1, 1, 7, 11, 25, 23, 127, 159, 489, 945, 843, 3715, 5215, 2131, 9681, 35515, 108109, 0};
static int joe_kuo_d6_initial_number13166[] = {1, 1, 3, 7, 5, 1, 67, 59, 83, 745, 1337, 855, 6087, 14319, 13405, 36261, 49091, 0};
static int joe_kuo_d6_initial_number13167[] = {1, 3, 1, 1, 13, 27, 41, 155, 463, 709, 1111, 2017, 4701, 8663, 29703, 45311, 113347, 0};
static int joe_kuo_d6_initial_number13168[] = {1, 1, 7, 5, 1, 11, 83, 101, 283, 505, 893, 705, 2331, 5127, 21793, 28095, 59055, 0};
static int joe_kuo_d6_initial_number13169[] = {1, 1, 5, 9, 25, 7, 97, 155, 71, 569, 1481, 897, 6177, 13367, 12163, 18171, 24785, 0};
static int joe_kuo_d6_initial_number13170[] = {1, 3, 5, 11, 19, 25, 7, 15, 511, 369, 957, 1247, 6097, 11181, 17265, 24777, 87377, 0};
static int joe_kuo_d6_initial_number13171[] = {1, 3, 1, 7, 11, 9, 39, 191, 9, 793, 867, 2779, 3447, 3805, 21025, 64719, 15669, 0};
static int joe_kuo_d6_initial_number13172[] = {1, 1, 3, 1, 31, 43, 107, 103, 175, 131, 1525, 993, 635, 14383, 26835, 15929, 109977, 0};
static int joe_kuo_d6_initial_number13173[] = {1, 1, 1, 3, 19, 17, 99, 249, 47, 467, 853, 2805, 3155, 1565, 17291, 18865, 11039, 0};
static int joe_kuo_d6_initial_number13174[] = {1, 1, 5, 13, 25, 61, 91, 67, 361, 947, 1909, 3403, 945, 3481, 16703, 50227, 43963, 0};
static int joe_kuo_d6_initial_number13175[] = {1, 3, 1, 3, 19, 27, 31, 219, 185, 579, 1539, 315, 4421, 9473, 30289, 48477, 61365, 0};
static int joe_kuo_d6_initial_number13176[] = {1, 1, 3, 1, 23, 11, 101, 1, 133, 305, 1107, 1145, 1733, 13275, 221, 5071, 81987, 0};
static int joe_kuo_d6_initial_number13177[] = {1, 1, 1, 13, 7, 61, 47, 5, 137, 979, 1183, 2049, 5263, 6515, 5585, 6093, 119689, 0};
static int joe_kuo_d6_initial_number13178[] = {1, 3, 1, 5, 19, 47, 83, 115, 215, 901, 1685, 755, 2327, 13297, 6847, 40329, 19225, 0};
static int joe_kuo_d6_initial_number13179[] = {1, 1, 3, 3, 3, 13, 31, 127, 199, 655, 55, 2183, 5031, 945, 6073, 54729, 108281, 0};
static int joe_kuo_d6_initial_number13180[] = {1, 1, 1, 1, 11, 51, 37, 19, 73, 205, 1377, 1881, 3679, 4487, 14693, 41735, 27349, 0};
static int joe_kuo_d6_initial_number13181[] = {1, 3, 7, 13, 1, 35, 37, 73, 45, 973, 209, 529, 5283, 9765, 26367, 12697, 8685, 0};
static int joe_kuo_d6_initial_number13182[] = {1, 3, 3, 9, 3, 45, 115, 35, 475, 663, 487, 3613, 4151, 15623, 3057, 31519, 87545, 0};
static int joe_kuo_d6_initial_number13183[] = {1, 3, 7, 5, 23, 13, 25, 255, 355, 433, 1671, 667, 7463, 14189, 14107, 1531, 11695, 0};
static int joe_kuo_d6_initial_number13184[] = {1, 1, 7, 3, 15, 25, 37, 127, 265, 493, 1763, 2721, 4335, 13753, 5947, 18375, 29911, 0};
static int joe_kuo_d6_initial_number13185[] = {1, 1, 3, 15, 1, 55, 25, 69, 335, 157, 1923, 1757, 5689, 6731, 723, 6471, 57415, 0};
static int joe_kuo_d6_initial_number13186[] = {1, 3, 3, 3, 1, 15, 127, 227, 401, 395, 503, 3783, 1737, 8785, 16287, 34949, 91683, 0};
static int joe_kuo_d6_initial_number13187[] = {1, 3, 5, 15, 23, 29, 55, 119, 115, 855, 657, 3729, 5309, 14773, 5647, 25953, 67303, 0};
static int joe_kuo_d6_initial_number13188[] = {1, 3, 5, 13, 23, 25, 1, 187, 67, 389, 359, 619, 2523, 11203, 11049, 60345, 53931, 0};
static int joe_kuo_d6_initial_number13189[] = {1, 3, 1, 7, 7, 45, 99, 123, 495, 797, 939, 3387, 7563, 16289, 8309, 14917, 99867, 0};
static int joe_kuo_d6_initial_number13190[] = {1, 3, 5, 11, 29, 49, 89, 205, 447, 541, 1279, 1153, 7277, 5393, 8743, 41057, 100119, 0};
static int joe_kuo_d6_initial_number13191[] = {1, 1, 1, 9, 1, 7, 43, 165, 259, 311, 993, 1381, 3363, 577, 4023, 443, 101785, 0};
static int joe_kuo_d6_initial_number13192[] = {1, 1, 7, 9, 25, 55, 93, 63, 423, 787, 549, 1039, 383, 15855, 6013, 51399, 60007, 0};
static int joe_kuo_d6_initial_number13193[] = {1, 3, 3, 1, 5, 17, 103, 91, 309, 85, 1319, 3869, 559, 3993, 18111, 17753, 66681, 0};
static int joe_kuo_d6_initial_number13194[] = {1, 3, 7, 9, 1, 11, 87, 151, 311, 597, 811, 3955, 275, 6555, 17005, 26763, 31227, 0};
static int joe_kuo_d6_initial_number13195[] = {1, 1, 3, 11, 19, 51, 41, 101, 183, 1003, 1635, 2061, 3305, 12925, 7223, 4859, 24433, 0};
static int joe_kuo_d6_initial_number13196[] = {1, 3, 7, 11, 7, 43, 79, 53, 43, 429, 947, 2533, 7005, 15147, 13435, 33997, 21201, 0};
static int joe_kuo_d6_initial_number13197[] = {1, 1, 3, 5, 15, 17, 61, 41, 383, 465, 1439, 3503, 3981, 14469, 5075, 25953, 70461, 0};
static int joe_kuo_d6_initial_number13198[] = {1, 1, 1, 13, 21, 53, 25, 59, 59, 195, 665, 3367, 2777, 9179, 24207, 56729, 94241, 0};
static int joe_kuo_d6_initial_number13199[] = {1, 3, 7, 15, 27, 13, 41, 147, 415, 351, 961, 3811, 1605, 14231, 31789, 41189, 50265, 0};
static int joe_kuo_d6_initial_number13200[] = {1, 3, 3, 7, 31, 39, 85, 219, 323, 657, 423, 1579, 3623, 7663, 14631, 47169, 88795, 0};
static int joe_kuo_d6_initial_number13201[] = {1, 3, 1, 3, 1, 3, 125, 65, 259, 3, 1897, 2203, 347, 4101, 23841, 20217, 117407, 0};
static int joe_kuo_d6_initial_number13202[] = {1, 1, 3, 7, 29, 1, 75, 255, 413, 237, 1531, 2103, 6847, 10395, 9817, 9383, 60679, 0};
static int joe_kuo_d6_initial_number13203[] = {1, 3, 5, 3, 7, 63, 17, 83, 375, 835, 1707, 3227, 327, 2205, 25025, 47471, 39967, 0};
static int joe_kuo_d6_initial_number13204[] = {1, 3, 7, 7, 9, 51, 23, 189, 157, 351, 755, 2695, 3923, 3481, 12159, 1041, 94563, 0};
static int joe_kuo_d6_initial_number13205[] = {1, 1, 3, 11, 25, 27, 39, 19, 221, 795, 523, 695, 3257, 8045, 2643, 43239, 13291, 0};
static int joe_kuo_d6_initial_number13206[] = {1, 3, 3, 5, 29, 1, 33, 117, 477, 147, 1117, 1943, 7967, 15999, 10673, 13349, 89471, 0};
static int joe_kuo_d6_initial_number13207[] = {1, 1, 3, 9, 17, 51, 55, 115, 147, 687, 1751, 3685, 3099, 15369, 371, 55673, 67951, 0};
static int joe_kuo_d6_initial_number13208[] = {1, 1, 7, 1, 5, 25, 67, 31, 103, 439, 1581, 705, 3855, 15985, 7151, 56511, 23697, 0};
static int joe_kuo_d6_initial_number13209[] = {1, 3, 5, 3, 21, 7, 11, 123, 121, 1009, 277, 623, 7913, 7525, 4759, 19245, 16735, 0};
static int joe_kuo_d6_initial_number13210[] = {1, 1, 5, 11, 7, 57, 103, 147, 199, 209, 233, 3665, 4215, 13511, 16393, 37873, 120857, 0};
static int joe_kuo_d6_initial_number13211[] = {1, 1, 7, 9, 27, 45, 29, 97, 279, 379, 1683, 1965, 1183, 11389, 20445, 38435, 56893, 0};
static int joe_kuo_d6_initial_number13212[] = {1, 3, 5, 5, 27, 23, 89, 169, 329, 659, 393, 903, 6217, 6459, 27327, 2843, 44889, 0};
static int joe_kuo_d6_initial_number13213[] = {1, 1, 1, 15, 3, 53, 109, 83, 195, 5, 1865, 729, 3627, 13307, 20761, 50375, 60379, 0};
static int joe_kuo_d6_initial_number13214[] = {1, 1, 1, 13, 25, 57, 17, 185, 359, 797, 469, 2637, 973, 2731, 25299, 15169, 90187, 0};
static int joe_kuo_d6_initial_number13215[] = {1, 3, 5, 1, 19, 39, 87, 161, 117, 565, 1737, 3995, 6487, 5067, 18531, 38803, 45453, 0};
static int joe_kuo_d6_initial_number13216[] = {1, 1, 1, 5, 19, 3, 93, 85, 479, 369, 469, 1407, 475, 7775, 12273, 34417, 65611, 0};
static int joe_kuo_d6_initial_number13217[] = {1, 1, 3, 15, 31, 11, 105, 19, 281, 711, 713, 3423, 797, 11215, 31409, 44891, 110413, 0};
static int joe_kuo_d6_initial_number13218[] = {1, 1, 3, 11, 13, 17, 59, 111, 59, 431, 1517, 2159, 1697, 12309, 16293, 2097, 107273, 0};
static int joe_kuo_d6_initial_number13219[] = {1, 3, 5, 15, 25, 19, 97, 107, 97, 563, 247, 3691, 2775, 10631, 15113, 25721, 12995, 0};
static int joe_kuo_d6_initial_number13220[] = {1, 1, 5, 3, 31, 25, 47, 201, 231, 123, 1923, 2287, 1711, 12271, 1573, 6605, 72991, 0};
static int joe_kuo_d6_initial_number13221[] = {1, 1, 5, 5, 27, 17, 109, 125, 423, 1, 819, 3041, 685, 8791, 19697, 13107, 67681, 0};
static int joe_kuo_d6_initial_number13222[] = {1, 1, 5, 3, 5, 63, 115, 95, 117, 715, 1523, 1231, 8171, 1615, 9819, 14361, 87075, 0};
static int joe_kuo_d6_initial_number13223[] = {1, 1, 7, 7, 7, 35, 35, 175, 349, 853, 1665, 3101, 6051, 10737, 933, 40591, 9419, 0};
static int joe_kuo_d6_initial_number13224[] = {1, 1, 1, 3, 23, 49, 65, 23, 103, 837, 403, 3799, 6515, 15363, 28079, 36381, 59523, 0};
static int joe_kuo_d6_initial_number13225[] = {1, 3, 1, 15, 15, 25, 119, 181, 229, 685, 1047, 2397, 4855, 15393, 2371, 42441, 30151, 0};
static int joe_kuo_d6_initial_number13226[] = {1, 3, 7, 11, 15, 5, 13, 93, 219, 203, 475, 523, 5827, 6579, 26759, 29795, 108463, 0};
static int joe_kuo_d6_initial_number13227[] = {1, 1, 7, 13, 25, 53, 75, 195, 443, 1003, 501, 2543, 5453, 3119, 19225, 59631, 16413, 0};
static int joe_kuo_d6_initial_number13228[] = {1, 1, 7, 13, 13, 25, 93, 211, 191, 1005, 1567, 3057, 3001, 1125, 6237, 35725, 108257, 0};
static int joe_kuo_d6_initial_number13229[] = {1, 1, 3, 7, 21, 11, 57, 205, 487, 263, 1801, 3235, 1819, 10875, 6063, 26211, 54699, 0};
static int joe_kuo_d6_initial_number13230[] = {1, 3, 3, 7, 11, 59, 89, 217, 15, 991, 1343, 1247, 277, 13377, 18499, 64987, 26053, 0};
static int joe_kuo_d6_initial_number13231[] = {1, 3, 3, 1, 15, 51, 111, 69, 137, 817, 1207, 1729, 3877, 9873, 18449, 50749, 57457, 0};
static int joe_kuo_d6_initial_number13232[] = {1, 3, 3, 5, 3, 39, 97, 147, 327, 257, 1547, 769, 7077, 5221, 13679, 44237, 70053, 0};
static int joe_kuo_d6_initial_number13233[] = {1, 1, 5, 11, 19, 15, 79, 187, 335, 645, 1235, 4041, 4831, 10847, 28135, 48353, 64921, 0};
static int joe_kuo_d6_initial_number13234[] = {1, 1, 7, 9, 3, 43, 41, 149, 71, 205, 1513, 2801, 6785, 3187, 25401, 55367, 114491, 0};
static int joe_kuo_d6_initial_number13235[] = {1, 1, 7, 1, 25, 11, 37, 205, 365, 435, 147, 1303, 587, 14563, 32461, 28983, 86157, 0};
static int joe_kuo_d6_initial_number13236[] = {1, 1, 7, 1, 31, 11, 51, 37, 401, 343, 1677, 991, 501, 11993, 14781, 37055, 30161, 0};
static int joe_kuo_d6_initial_number13237[] = {1, 3, 5, 9, 9, 21, 95, 45, 447, 957, 943, 3997, 4033, 8371, 25007, 52827, 50207, 0};
static int joe_kuo_d6_initial_number13238[] = {1, 1, 7, 1, 9, 45, 3, 255, 297, 341, 215, 3631, 7049, 7625, 4145, 50109, 48615, 0};
static int joe_kuo_d6_initial_number13239[] = {1, 3, 3, 9, 27, 49, 41, 143, 291, 343, 719, 311, 3819, 7699, 17631, 64785, 49239, 0};
static int joe_kuo_d6_initial_number13240[] = {1, 1, 7, 3, 27, 35, 61, 183, 153, 781, 979, 1465, 3315, 14893, 29847, 18461, 74949, 0};
static int joe_kuo_d6_initial_number13241[] = {1, 3, 5, 15, 19, 61, 39, 219, 279, 909, 1295, 1681, 8021, 957, 7675, 14001, 77669, 0};
static int joe_kuo_d6_initial_number13242[] = {1, 3, 1, 5, 15, 59, 127, 85, 229, 649, 503, 3267, 2465, 5637, 2729, 24831, 44791, 0};
static int joe_kuo_d6_initial_number13243[] = {1, 3, 7, 11, 23, 55, 61, 191, 345, 255, 105, 1361, 3913, 7655, 8865, 1825, 80619, 0};
static int joe_kuo_d6_initial_number13244[] = {1, 3, 3, 13, 29, 15, 53, 19, 1, 651, 917, 2043, 2333, 13695, 28225, 16457, 11287, 0};
static int joe_kuo_d6_initial_number13245[] = {1, 1, 3, 13, 15, 53, 41, 211, 13, 287, 383, 3923, 665, 10343, 4803, 22199, 90521, 0};
static int joe_kuo_d6_initial_number13246[] = {1, 3, 7, 11, 23, 27, 127, 241, 11, 451, 495, 2779, 319, 13119, 5575, 43043, 11659, 0};
static int joe_kuo_d6_initial_number13247[] = {1, 1, 1, 7, 17, 53, 55, 39, 233, 273, 1873, 843, 7885, 329, 6809, 33119, 116017, 0};
static int joe_kuo_d6_initial_number13248[] = {1, 1, 1, 7, 21, 41, 23, 113, 283, 265, 1535, 2371, 3975, 6293, 22497, 65349, 48653, 0};
static int joe_kuo_d6_initial_number13249[] = {1, 3, 7, 9, 25, 21, 61, 135, 245, 777, 679, 2603, 565, 3251, 32469, 12707, 40297, 0};
static int joe_kuo_d6_initial_number13250[] = {1, 1, 1, 5, 31, 49, 35, 215, 445, 669, 779, 2231, 5399, 5853, 17941, 33973, 126141, 0};
static int joe_kuo_d6_initial_number13251[] = {1, 3, 5, 5, 3, 31, 45, 235, 51, 65, 295, 3755, 8101, 821, 28331, 38837, 55235, 0};
static int joe_kuo_d6_initial_number13252[] = {1, 1, 5, 15, 23, 15, 37, 197, 59, 455, 1875, 1745, 7565, 8039, 15901, 63129, 36095, 0};
static int joe_kuo_d6_initial_number13253[] = {1, 1, 5, 11, 7, 1, 77, 235, 309, 245, 1539, 1421, 3401, 1477, 12655, 19851, 86147, 0};
static int joe_kuo_d6_initial_number13254[] = {1, 1, 3, 9, 27, 9, 113, 127, 167, 213, 161, 4065, 1275, 10699, 26111, 26213, 129091, 0};
static int joe_kuo_d6_initial_number13255[] = {1, 3, 5, 9, 9, 17, 109, 205, 23, 145, 1261, 51, 5855, 7411, 20551, 5801, 47841, 0};
static int joe_kuo_d6_initial_number13256[] = {1, 1, 3, 3, 15, 1, 1, 39, 431, 601, 177, 525, 6951, 6271, 27031, 37157, 73979, 0};
static int joe_kuo_d6_initial_number13257[] = {1, 3, 1, 3, 19, 61, 11, 131, 31, 223, 959, 3531, 2433, 15675, 29201, 49277, 43977, 0};
static int joe_kuo_d6_initial_number13258[] = {1, 1, 5, 9, 5, 27, 57, 3, 503, 755, 1261, 3659, 6685, 10041, 24739, 12201, 19753, 0};
static int joe_kuo_d6_initial_number13259[] = {1, 1, 7, 3, 31, 27, 7, 191, 7, 415, 1665, 1413, 7493, 2645, 23577, 46331, 9481, 0};
static int joe_kuo_d6_initial_number13260[] = {1, 1, 5, 1, 29, 59, 99, 231, 33, 613, 1347, 2671, 1767, 15685, 26583, 44699, 73511, 0};
static int joe_kuo_d6_initial_number13261[] = {1, 1, 3, 3, 9, 47, 93, 87, 45, 549, 219, 2141, 233, 10239, 30325, 14985, 70325, 0};
static int joe_kuo_d6_initial_number13262[] = {1, 1, 3, 3, 21, 39, 81, 179, 319, 853, 93, 2869, 59, 6675, 22391, 16089, 33949, 0};
static int joe_kuo_d6_initial_number13263[] = {1, 1, 3, 7, 31, 19, 73, 249, 175, 57, 1717, 3557, 2307, 4595, 22045, 33291, 123003, 0};
static int joe_kuo_d6_initial_number13264[] = {1, 1, 1, 3, 7, 23, 81, 229, 387, 1001, 1371, 17, 667, 3043, 30507, 44613, 32239, 0};
static int joe_kuo_d6_initial_number13265[] = {1, 1, 7, 15, 15, 59, 83, 99, 101, 863, 333, 845, 7547, 13345, 7599, 51, 10963, 0};
static int joe_kuo_d6_initial_number13266[] = {1, 1, 1, 3, 15, 55, 73, 37, 429, 711, 1315, 2911, 5109, 953, 14721, 25551, 33527, 0};
static int joe_kuo_d6_initial_number13267[] = {1, 1, 5, 9, 11, 57, 75, 107, 449, 293, 1267, 2633, 5291, 9939, 12365, 1975, 75705, 0};
static int joe_kuo_d6_initial_number13268[] = {1, 3, 3, 7, 19, 51, 111, 233, 369, 873, 1419, 425, 6587, 11371, 29613, 28041, 77405, 0};
static int joe_kuo_d6_initial_number13269[] = {1, 3, 1, 15, 11, 1, 65, 185, 301, 25, 75, 1353, 6879, 11519, 24093, 65223, 130659, 0};
static int joe_kuo_d6_initial_number13270[] = {1, 1, 3, 3, 17, 17, 33, 177, 467, 841, 949, 1119, 7869, 5835, 22175, 20439, 98923, 0};
static int joe_kuo_d6_initial_number13271[] = {1, 3, 1, 9, 1, 19, 1, 9, 487, 425, 1095, 1995, 693, 12661, 27717, 56167, 34829, 0};
static int joe_kuo_d6_initial_number13272[] = {1, 1, 7, 7, 27, 57, 85, 159, 109, 801, 477, 3953, 3195, 11079, 26885, 59833, 4971, 0};
static int joe_kuo_d6_initial_number13273[] = {1, 1, 1, 15, 25, 9, 89, 231, 499, 623, 1385, 3753, 4781, 15263, 12721, 17511, 67327, 0};
static int joe_kuo_d6_initial_number13274[] = {1, 1, 3, 7, 9, 11, 103, 65, 319, 681, 1423, 2355, 6243, 399, 8483, 23697, 107995, 0};
static int joe_kuo_d6_initial_number13275[] = {1, 1, 1, 1, 5, 7, 63, 117, 151, 905, 163, 3813, 6931, 13161, 15131, 63067, 15649, 0};
static int joe_kuo_d6_initial_number13276[] = {1, 3, 3, 3, 13, 57, 69, 199, 283, 153, 617, 123, 3125, 3057, 8121, 14483, 28085, 0};
static int joe_kuo_d6_initial_number13277[] = {1, 3, 7, 15, 25, 45, 25, 179, 91, 457, 681, 537, 243, 4369, 11395, 17565, 47875, 0};
static int joe_kuo_d6_initial_number13278[] = {1, 3, 1, 13, 29, 51, 101, 23, 143, 715, 1725, 791, 6001, 4283, 10689, 49237, 5231, 0};
static int joe_kuo_d6_initial_number13279[] = {1, 3, 3, 5, 27, 41, 39, 17, 501, 587, 1067, 1859, 9, 13449, 31257, 17675, 99769, 0};
static int joe_kuo_d6_initial_number13280[] = {1, 1, 1, 3, 15, 57, 119, 195, 15, 779, 761, 733, 3505, 4815, 23167, 411, 52303, 0};
static int joe_kuo_d6_initial_number13281[] = {1, 3, 1, 13, 9, 31, 5, 141, 19, 487, 739, 577, 4383, 1951, 24293, 45503, 111923, 0};
static int joe_kuo_d6_initial_number13282[] = {1, 3, 1, 11, 25, 37, 107, 245, 89, 107, 1969, 1569, 7475, 11795, 6123, 45311, 52251, 0};
static int joe_kuo_d6_initial_number13283[] = {1, 1, 7, 11, 15, 9, 67, 141, 199, 91, 819, 3721, 6251, 6107, 9393, 14941, 98545, 0};
static int joe_kuo_d6_initial_number13284[] = {1, 3, 3, 11, 23, 9, 31, 211, 339, 665, 1507, 2255, 3589, 11495, 28393, 2017, 106735, 0};
static int joe_kuo_d6_initial_number13285[] = {1, 3, 5, 11, 27, 13, 105, 217, 173, 337, 1573, 837, 3771, 8645, 28749, 27501, 45045, 0};
static int joe_kuo_d6_initial_number13286[] = {1, 1, 5, 1, 11, 43, 99, 217, 131, 545, 1323, 3089, 5689, 785, 9043, 29961, 17855, 0};
static int joe_kuo_d6_initial_number13287[] = {1, 1, 3, 9, 31, 41, 61, 239, 271, 123, 1583, 397, 4243, 12197, 9847, 12341, 130533, 0};
static int joe_kuo_d6_initial_number13288[] = {1, 3, 5, 3, 27, 11, 33, 31, 77, 403, 823, 2791, 3475, 4201, 15967, 39149, 107137, 0};
static int joe_kuo_d6_initial_number13289[] = {1, 3, 1, 11, 9, 5, 103, 145, 85, 341, 1615, 729, 7209, 10289, 20807, 54167, 15613, 0};
static int joe_kuo_d6_initial_number13290[] = {1, 3, 7, 1, 29, 33, 91, 219, 171, 367, 907, 3645, 1059, 9031, 247, 13231, 14323, 0};
static int joe_kuo_d6_initial_number13291[] = {1, 1, 1, 7, 19, 15, 65, 61, 221, 941, 1005, 1447, 3513, 8917, 17399, 52471, 64245, 0};
static int joe_kuo_d6_initial_number13292[] = {1, 1, 5, 7, 5, 35, 15, 253, 325, 313, 2015, 3239, 1633, 9745, 11617, 10575, 35877, 0};
static int joe_kuo_d6_initial_number13293[] = {1, 3, 5, 3, 13, 1, 115, 207, 227, 637, 1119, 781, 2897, 1573, 16499, 43167, 20631, 0};
static int joe_kuo_d6_initial_number13294[] = {1, 3, 5, 9, 17, 47, 117, 7, 303, 719, 975, 1167, 2463, 5255, 28237, 33495, 57133, 0};
static int joe_kuo_d6_initial_number13295[] = {1, 3, 5, 11, 5, 43, 123, 63, 19, 97, 1423, 695, 5985, 5923, 5755, 22721, 5411, 0};
static int joe_kuo_d6_initial_number13296[] = {1, 3, 1, 9, 9, 25, 87, 197, 325, 827, 1679, 1561, 101, 3951, 17453, 33537, 121431, 0};
static int joe_kuo_d6_initial_number13297[] = {1, 1, 7, 5, 13, 33, 3, 191, 171, 37, 619, 1917, 7525, 14103, 25807, 25455, 57455, 0};
static int joe_kuo_d6_initial_number13298[] = {1, 3, 3, 1, 9, 35, 93, 159, 455, 115, 479, 665, 477, 4483, 29751, 45047, 41251, 0};
static int joe_kuo_d6_initial_number13299[] = {1, 3, 1, 3, 11, 47, 41, 199, 511, 475, 151, 1163, 239, 6731, 4461, 39845, 99555, 0};
static int joe_kuo_d6_initial_number13300[] = {1, 1, 5, 7, 9, 5, 49, 221, 503, 637, 1323, 3303, 4137, 6675, 17709, 49233, 38325, 0};
static int joe_kuo_d6_initial_number13301[] = {1, 1, 5, 15, 1, 43, 55, 67, 291, 393, 237, 3555, 4171, 909, 8655, 46309, 61799, 0};
static int joe_kuo_d6_initial_number13302[] = {1, 3, 5, 3, 3, 37, 125, 249, 509, 611, 983, 4093, 1633, 10063, 10811, 60033, 40999, 0};
static int joe_kuo_d6_initial_number13303[] = {1, 3, 5, 11, 1, 37, 75, 255, 279, 545, 1999, 833, 2789, 14601, 16707, 64703, 53545, 0};
static int joe_kuo_d6_initial_number13304[] = {1, 1, 5, 7, 3, 15, 59, 11, 17, 711, 721, 765, 3747, 13549, 28641, 47437, 42261, 0};
static int joe_kuo_d6_initial_number13305[] = {1, 3, 7, 1, 3, 45, 65, 45, 279, 929, 933, 2215, 7095, 14593, 6047, 40747, 109789, 0};
static int joe_kuo_d6_initial_number13306[] = {1, 3, 7, 15, 15, 55, 89, 155, 345, 515, 1005, 2921, 1761, 1095, 28463, 20971, 62451, 0};
static int joe_kuo_d6_initial_number13307[] = {1, 3, 3, 1, 1, 41, 35, 149, 481, 171, 305, 1411, 237, 4515, 32375, 22645, 741, 0};
static int joe_kuo_d6_initial_number13308[] = {1, 1, 1, 15, 17, 1, 123, 235, 221, 495, 1693, 3109, 6453, 8827, 23775, 9303, 30237, 0};
static int joe_kuo_d6_initial_number13309[] = {1, 3, 3, 5, 7, 63, 37, 13, 457, 159, 1683, 2207, 1731, 3341, 7415, 21073, 119417, 0};
static int joe_kuo_d6_initial_number13310[] = {1, 1, 7, 15, 21, 27, 5, 67, 267, 919, 203, 1129, 4029, 3407, 16767, 35485, 66903, 0};
static int joe_kuo_d6_initial_number13311[] = {1, 1, 1, 5, 15, 29, 99, 5, 219, 677, 443, 3799, 2461, 747, 20885, 32661, 44079, 0};
static int joe_kuo_d6_initial_number13312[] = {1, 1, 1, 1, 3, 55, 53, 151, 195, 587, 1155, 2439, 3817, 8735, 30849, 54107, 14113, 0};
static int joe_kuo_d6_initial_number13313[] = {1, 1, 1, 9, 29, 15, 89, 175, 373, 925, 301, 3749, 5439, 2653, 22819, 41201, 77043, 0};
static int joe_kuo_d6_initial_number13314[] = {1, 1, 1, 1, 25, 49, 29, 129, 331, 539, 1247, 773, 7891, 5905, 19571, 17919, 6815, 0};
static int joe_kuo_d6_initial_number13315[] = {1, 1, 3, 15, 5, 63, 123, 133, 141, 383, 1893, 573, 629, 3939, 9455, 50433, 111415, 0};
static int joe_kuo_d6_initial_number13316[] = {1, 1, 7, 9, 15, 33, 119, 159, 17, 511, 1841, 427, 3911, 8609, 4215, 9799, 84397, 0};
static int joe_kuo_d6_initial_number13317[] = {1, 1, 7, 3, 9, 25, 63, 247, 235, 635, 915, 3423, 5421, 7021, 9203, 18121, 3683, 0};
static int joe_kuo_d6_initial_number13318[] = {1, 3, 1, 1, 25, 11, 105, 1, 491, 137, 1923, 103, 3371, 3543, 5173, 36777, 23417, 0};
static int joe_kuo_d6_initial_number13319[] = {1, 3, 3, 13, 19, 37, 93, 191, 101, 193, 351, 839, 7147, 5477, 29225, 45307, 1455, 0};
static int joe_kuo_d6_initial_number13320[] = {1, 3, 1, 5, 11, 17, 95, 239, 105, 407, 395, 919, 3317, 14825, 23447, 4897, 128363, 0};
static int joe_kuo_d6_initial_number13321[] = {1, 1, 1, 11, 27, 47, 83, 137, 163, 673, 1291, 3041, 4559, 7217, 23613, 19477, 93805, 0};
static int joe_kuo_d6_initial_number13322[] = {1, 1, 1, 15, 25, 51, 37, 9, 23, 757, 1921, 2649, 5677, 11421, 10231, 1775, 124709, 0};
static int joe_kuo_d6_initial_number13323[] = {1, 3, 1, 13, 31, 37, 37, 163, 59, 975, 1203, 1425, 1255, 3259, 16681, 38101, 118165, 0};
static int joe_kuo_d6_initial_number13324[] = {1, 1, 3, 11, 17, 17, 31, 23, 169, 305, 3, 1631, 6853, 7019, 14539, 57663, 70377, 0};
static int joe_kuo_d6_initial_number13325[] = {1, 1, 7, 3, 15, 61, 113, 31, 497, 935, 473, 819, 1223, 13907, 5075, 45177, 20255, 0};
static int joe_kuo_d6_initial_number13326[] = {1, 3, 7, 13, 9, 41, 123, 121, 497, 877, 915, 3323, 4815, 4175, 25979, 38751, 107099, 0};
static int joe_kuo_d6_initial_number13327[] = {1, 1, 3, 7, 13, 33, 31, 167, 331, 595, 517, 1237, 1947, 1905, 28155, 52431, 93065, 0};
static int joe_kuo_d6_initial_number13328[] = {1, 3, 1, 1, 11, 51, 7, 151, 323, 211, 523, 2929, 233, 3633, 2785, 6043, 100101, 0};
static int joe_kuo_d6_initial_number13329[] = {1, 1, 7, 13, 29, 3, 125, 247, 121, 567, 857, 3225, 7461, 15413, 773, 54939, 67443, 0};
static int joe_kuo_d6_initial_number13330[] = {1, 1, 1, 15, 19, 29, 101, 179, 369, 115, 1777, 3223, 1499, 12487, 41, 50607, 111137, 0};
static int joe_kuo_d6_initial_number13331[] = {1, 1, 3, 1, 9, 59, 21, 25, 173, 357, 1143, 1353, 3907, 10743, 30325, 39211, 116671, 0};
static int joe_kuo_d6_initial_number13332[] = {1, 1, 7, 15, 9, 63, 67, 229, 7, 399, 2037, 3531, 6393, 4273, 9365, 52009, 118093, 0};
static int joe_kuo_d6_initial_number13333[] = {1, 1, 7, 1, 31, 21, 5, 251, 433, 1, 481, 4041, 6179, 825, 8671, 20597, 103257, 0};
static int joe_kuo_d6_initial_number13334[] = {1, 1, 7, 1, 15, 41, 69, 93, 47, 17, 1901, 2671, 4739, 1883, 30239, 50763, 108295, 0};
static int joe_kuo_d6_initial_number13335[] = {1, 3, 7, 15, 29, 19, 63, 213, 475, 133, 43, 955, 2001, 555, 10479, 1333, 52807, 0};
static int joe_kuo_d6_initial_number13336[] = {1, 3, 3, 15, 27, 13, 91, 109, 71, 333, 1971, 3355, 2175, 11457, 31101, 30217, 68263, 0};
static int joe_kuo_d6_initial_number13337[] = {1, 1, 5, 1, 21, 33, 51, 169, 365, 475, 1015, 985, 7217, 15453, 7727, 49843, 57733, 0};
static int joe_kuo_d6_initial_number13338[] = {1, 1, 7, 1, 11, 37, 67, 135, 429, 403, 1663, 2037, 7849, 3757, 6373, 38703, 46393, 0};
static int joe_kuo_d6_initial_number13339[] = {1, 1, 1, 3, 15, 3, 29, 101, 327, 643, 47, 1805, 6873, 1659, 31097, 34847, 46843, 0};
static int joe_kuo_d6_initial_number13340[] = {1, 3, 1, 15, 9, 45, 7, 189, 175, 955, 45, 3545, 3595, 7443, 2913, 54501, 63279, 0};
static int joe_kuo_d6_initial_number13341[] = {1, 3, 7, 11, 1, 39, 59, 179, 209, 121, 445, 4077, 4851, 15161, 29133, 13543, 106247, 0};
static int joe_kuo_d6_initial_number13342[] = {1, 3, 7, 7, 5, 53, 73, 107, 409, 639, 1731, 1921, 999, 14445, 17629, 3667, 74819, 0};
static int joe_kuo_d6_initial_number13343[] = {1, 3, 3, 9, 23, 41, 117, 195, 497, 425, 627, 1599, 7715, 1401, 7217, 61113, 67135, 0};
static int joe_kuo_d6_initial_number13344[] = {1, 1, 5, 13, 9, 33, 97, 115, 233, 833, 1041, 1755, 5317, 12703, 25709, 62293, 2569, 0};
static int joe_kuo_d6_initial_number13345[] = {1, 1, 1, 11, 1, 7, 27, 151, 325, 905, 1279, 4093, 7495, 9803, 17339, 7977, 24009, 0};
static int joe_kuo_d6_initial_number13346[] = {1, 3, 1, 11, 25, 59, 89, 175, 67, 139, 1507, 411, 7863, 9585, 14869, 46655, 126021, 0};
static int joe_kuo_d6_initial_number13347[] = {1, 3, 3, 15, 29, 5, 111, 251, 69, 177, 519, 901, 4331, 5341, 22031, 3851, 114369, 0};
static int joe_kuo_d6_initial_number13348[] = {1, 3, 5, 3, 19, 9, 83, 69, 411, 673, 1549, 3429, 3647, 12601, 17177, 16161, 114561, 0};
static int joe_kuo_d6_initial_number13349[] = {1, 1, 5, 5, 21, 15, 65, 179, 405, 571, 1245, 3693, 7471, 12109, 20177, 28783, 124339, 0};
static int joe_kuo_d6_initial_number13350[] = {1, 1, 5, 5, 9, 61, 69, 99, 9, 829, 1823, 3803, 1181, 3073, 10069, 28689, 21347, 0};
static int joe_kuo_d6_initial_number13351[] = {1, 1, 5, 1, 3, 11, 25, 99, 241, 957, 1137, 7, 3809, 7073, 21217, 49447, 41425, 0};
static int joe_kuo_d6_initial_number13352[] = {1, 3, 1, 9, 15, 59, 13, 29, 467, 893, 1667, 31, 3269, 12599, 28673, 17101, 81591, 0};
static int joe_kuo_d6_initial_number13353[] = {1, 3, 7, 3, 15, 55, 79, 177, 1, 891, 217, 2725, 6171, 7779, 16173, 1003, 37093, 0};
static int joe_kuo_d6_initial_number13354[] = {1, 3, 7, 11, 15, 61, 13, 181, 421, 83, 905, 1089, 4597, 3291, 23243, 53123, 21315, 0};
static int joe_kuo_d6_initial_number13355[] = {1, 1, 3, 3, 21, 63, 113, 149, 203, 379, 583, 1955, 8087, 9155, 23019, 17757, 1537, 0};
static int joe_kuo_d6_initial_number13356[] = {1, 3, 5, 9, 27, 41, 61, 207, 213, 253, 693, 273, 1835, 14135, 11519, 40819, 50999, 0};
static int joe_kuo_d6_initial_number13357[] = {1, 3, 5, 3, 1, 51, 71, 237, 355, 327, 1903, 133, 6075, 4685, 29689, 48723, 67791, 0};
static int joe_kuo_d6_initial_number13358[] = {1, 3, 5, 9, 21, 13, 101, 23, 95, 369, 1657, 989, 4081, 1373, 29005, 7247, 53923, 0};
static int joe_kuo_d6_initial_number13359[] = {1, 1, 7, 13, 15, 3, 71, 189, 345, 771, 251, 937, 1041, 3017, 27279, 1635, 32581, 0};
static int joe_kuo_d6_initial_number13360[] = {1, 1, 5, 7, 23, 63, 99, 43, 237, 189, 1549, 25, 63, 14089, 14387, 51423, 57193, 0};
static int joe_kuo_d6_initial_number13361[] = {1, 1, 7, 15, 13, 55, 89, 87, 95, 241, 827, 501, 2341, 14357, 831, 27101, 98285, 0};
static int joe_kuo_d6_initial_number13362[] = {1, 1, 1, 9, 29, 29, 125, 81, 73, 123, 329, 2617, 1259, 4415, 30007, 19467, 117847, 0};
static int joe_kuo_d6_initial_number13363[] = {1, 3, 1, 11, 15, 63, 85, 121, 409, 885, 1197, 423, 2673, 12107, 1127, 14119, 90541, 0};
static int joe_kuo_d6_initial_number13364[] = {1, 3, 1, 3, 1, 35, 117, 149, 213, 925, 923, 1013, 3547, 6877, 3467, 47893, 38645, 0};
static int joe_kuo_d6_initial_number13365[] = {1, 1, 3, 15, 3, 21, 87, 199, 197, 851, 1711, 3449, 1771, 1727, 11651, 51903, 99835, 0};
static int joe_kuo_d6_initial_number13366[] = {1, 3, 3, 1, 5, 27, 57, 243, 465, 173, 697, 4011, 6177, 3019, 31317, 24699, 53151, 0};
static int joe_kuo_d6_initial_number13367[] = {1, 3, 5, 7, 7, 51, 61, 177, 489, 381, 493, 1975, 3143, 8003, 7735, 46363, 110705, 0};
static int joe_kuo_d6_initial_number13368[] = {1, 1, 7, 5, 27, 45, 69, 33, 229, 725, 2033, 3655, 3027, 11795, 2941, 7921, 117605, 0};
static int joe_kuo_d6_initial_number13369[] = {1, 3, 1, 7, 3, 37, 91, 255, 13, 651, 49, 309, 7425, 11641, 3661, 3929, 94199, 0};
static int joe_kuo_d6_initial_number13370[] = {1, 3, 7, 5, 7, 47, 121, 203, 297, 941, 1585, 3659, 265, 159, 30729, 31825, 343, 0};
static int joe_kuo_d6_initial_number13371[] = {1, 3, 5, 9, 3, 25, 95, 215, 125, 105, 37, 943, 4095, 8169, 26763, 20975, 122307, 0};
static int joe_kuo_d6_initial_number13372[] = {1, 1, 3, 15, 9, 13, 81, 25, 51, 15, 599, 835, 6723, 9487, 25219, 60401, 48749, 0};
static int joe_kuo_d6_initial_number13373[] = {1, 3, 3, 15, 15, 47, 41, 219, 77, 43, 1705, 2363, 7005, 7137, 17687, 665, 116097, 0};
static int joe_kuo_d6_initial_number13374[] = {1, 3, 5, 1, 17, 33, 71, 3, 253, 355, 117, 1995, 3339, 11789, 13563, 58889, 18553, 0};
static int joe_kuo_d6_initial_number13375[] = {1, 3, 5, 1, 21, 33, 89, 177, 9, 951, 1593, 1419, 3295, 9617, 31661, 7841, 119939, 0};
static int joe_kuo_d6_initial_number13376[] = {1, 3, 3, 1, 31, 35, 25, 9, 379, 271, 923, 2387, 3351, 5869, 4501, 6855, 28273, 0};
static int joe_kuo_d6_initial_number13377[] = {1, 1, 5, 9, 11, 15, 127, 79, 405, 579, 395, 2469, 5847, 7589, 17577, 61717, 6493, 0};
static int joe_kuo_d6_initial_number13378[] = {1, 3, 7, 13, 29, 13, 99, 209, 79, 469, 5, 2231, 89, 1557, 5123, 47169, 46529, 0};
static int joe_kuo_d6_initial_number13379[] = {1, 3, 7, 9, 13, 35, 119, 53, 7, 351, 601, 901, 5407, 13673, 6929, 38311, 2659, 0};
static int joe_kuo_d6_initial_number13380[] = {1, 3, 7, 9, 13, 23, 61, 255, 113, 331, 367, 2979, 2741, 6971, 26447, 6861, 116267, 0};
static int joe_kuo_d6_initial_number13381[] = {1, 1, 3, 3, 25, 57, 93, 5, 387, 87, 1765, 1277, 8175, 11185, 4377, 9779, 95569, 0};
static int joe_kuo_d6_initial_number13382[] = {1, 1, 7, 11, 29, 43, 31, 155, 111, 409, 733, 1919, 2681, 8435, 5877, 35439, 15435, 0};
static int joe_kuo_d6_initial_number13383[] = {1, 1, 1, 7, 19, 33, 109, 125, 51, 733, 997, 3467, 5081, 8371, 263, 31461, 46117, 0};
static int joe_kuo_d6_initial_number13384[] = {1, 3, 3, 7, 27, 61, 57, 75, 317, 247, 1535, 3757, 4617, 15627, 11191, 3581, 64475, 0};
static int joe_kuo_d6_initial_number13385[] = {1, 3, 3, 1, 31, 7, 95, 151, 159, 475, 559, 379, 361, 5953, 5551, 20313, 64015, 0};
static int joe_kuo_d6_initial_number13386[] = {1, 1, 5, 1, 11, 31, 71, 77, 493, 697, 345, 1809, 611, 14319, 6591, 23657, 44071, 0};
static int joe_kuo_d6_initial_number13387[] = {1, 1, 1, 13, 5, 1, 9, 233, 229, 397, 1201, 1817, 7409, 11521, 3753, 35611, 123037, 0};
static int joe_kuo_d6_initial_number13388[] = {1, 3, 7, 15, 9, 15, 85, 163, 99, 867, 265, 1021, 129, 11059, 123, 27185, 68435, 0};
static int joe_kuo_d6_initial_number13389[] = {1, 3, 1, 11, 25, 43, 105, 165, 291, 977, 463, 2699, 5361, 9951, 29735, 63501, 86235, 0};
static int joe_kuo_d6_initial_number13390[] = {1, 3, 7, 13, 9, 33, 39, 145, 441, 233, 373, 193, 1451, 7975, 2871, 64431, 43339, 0};
static int joe_kuo_d6_initial_number13391[] = {1, 1, 7, 13, 15, 25, 45, 27, 319, 719, 1801, 447, 3027, 769, 271, 37227, 26447, 0};
static int joe_kuo_d6_initial_number13392[] = {1, 1, 5, 1, 29, 1, 59, 59, 121, 251, 387, 55, 5957, 10527, 24227, 38841, 29115, 0};
static int joe_kuo_d6_initial_number13393[] = {1, 3, 1, 5, 31, 25, 67, 191, 137, 849, 631, 953, 3103, 9737, 28993, 49413, 60709, 0};
static int joe_kuo_d6_initial_number13394[] = {1, 3, 3, 15, 7, 5, 37, 179, 357, 961, 1649, 441, 5287, 4161, 24013, 39661, 76233, 0};
static int joe_kuo_d6_initial_number13395[] = {1, 1, 5, 1, 9, 1, 47, 209, 219, 1021, 969, 2343, 5675, 7137, 14247, 50305, 72613, 0};
static int joe_kuo_d6_initial_number13396[] = {1, 1, 3, 1, 9, 43, 43, 47, 35, 97, 617, 1033, 2387, 14155, 17049, 53333, 108619, 0};
static int joe_kuo_d6_initial_number13397[] = {1, 3, 1, 3, 1, 45, 11, 171, 349, 65, 909, 1801, 1075, 10905, 7395, 19997, 128205, 0};
static int joe_kuo_d6_initial_number13398[] = {1, 1, 7, 11, 19, 39, 117, 175, 459, 791, 1383, 3473, 6937, 8447, 10077, 13353, 122063, 0};
static int joe_kuo_d6_initial_number13399[] = {1, 3, 3, 9, 3, 27, 115, 29, 135, 305, 1023, 2517, 1981, 4969, 18149, 35565, 120785, 0};
static int joe_kuo_d6_initial_number13400[] = {1, 3, 3, 11, 15, 23, 27, 115, 411, 805, 841, 2205, 5997, 5141, 10679, 25235, 81989, 0};
static int joe_kuo_d6_initial_number13401[] = {1, 1, 3, 9, 11, 63, 27, 185, 337, 891, 1447, 1397, 8009, 4453, 23077, 37599, 93389, 0};
static int joe_kuo_d6_initial_number13402[] = {1, 1, 5, 13, 27, 11, 77, 11, 447, 81, 1603, 2317, 6499, 6631, 27305, 51049, 40967, 0};
static int joe_kuo_d6_initial_number13403[] = {1, 3, 7, 1, 7, 43, 83, 33, 69, 119, 139, 1391, 4879, 3759, 31211, 29203, 110229, 0};
static int joe_kuo_d6_initial_number13404[] = {1, 3, 7, 15, 31, 59, 53, 97, 135, 233, 1421, 587, 2985, 3627, 7355, 53829, 51581, 0};
static int joe_kuo_d6_initial_number13405[] = {1, 3, 7, 15, 1, 37, 39, 225, 147, 37, 327, 2819, 6081, 4337, 22063, 21177, 91065, 0};
static int joe_kuo_d6_initial_number13406[] = {1, 1, 3, 1, 13, 31, 61, 133, 433, 243, 131, 3625, 6389, 335, 24029, 33217, 80833, 0};
static int joe_kuo_d6_initial_number13407[] = {1, 1, 7, 11, 21, 39, 95, 181, 35, 499, 677, 3935, 1379, 6791, 12633, 13671, 28317, 0};
static int joe_kuo_d6_initial_number13408[] = {1, 3, 1, 5, 7, 57, 5, 229, 389, 197, 1523, 1221, 609, 10449, 6389, 9279, 53871, 0};
static int joe_kuo_d6_initial_number13409[] = {1, 3, 5, 7, 1, 39, 69, 131, 387, 839, 1375, 3841, 81, 7395, 5837, 32067, 51183, 0};
static int joe_kuo_d6_initial_number13410[] = {1, 1, 5, 3, 5, 27, 107, 171, 53, 923, 345, 445, 1101, 11201, 20563, 30889, 72361, 0};
static int joe_kuo_d6_initial_number13411[] = {1, 3, 7, 11, 19, 7, 99, 219, 485, 403, 293, 3967, 7517, 4765, 11331, 55, 92641, 0};
static int joe_kuo_d6_initial_number13412[] = {1, 1, 7, 13, 19, 9, 73, 31, 405, 513, 941, 3645, 7075, 8109, 21431, 52791, 120927, 0};
static int joe_kuo_d6_initial_number13413[] = {1, 1, 1, 15, 29, 33, 75, 65, 479, 47, 35, 4023, 4853, 2793, 29895, 2711, 83779, 0};
static int joe_kuo_d6_initial_number13414[] = {1, 1, 3, 15, 11, 1, 9, 149, 503, 845, 647, 1233, 4355, 3623, 3197, 36015, 24839, 0};
static int joe_kuo_d6_initial_number13415[] = {1, 1, 7, 1, 31, 35, 59, 25, 393, 503, 227, 3243, 301, 11121, 32463, 38185, 69969, 0};
static int joe_kuo_d6_initial_number13416[] = {1, 1, 1, 7, 9, 15, 11, 89, 19, 605, 1657, 3335, 1967, 29, 28619, 42301, 79909, 0};
static int joe_kuo_d6_initial_number13417[] = {1, 3, 7, 7, 19, 29, 111, 55, 299, 733, 547, 395, 4831, 1991, 7357, 25781, 115129, 0};
static int joe_kuo_d6_initial_number13418[] = {1, 1, 3, 7, 5, 33, 31, 101, 163, 389, 1163, 1843, 4105, 14209, 29261, 5821, 17929, 0};
static int joe_kuo_d6_initial_number13419[] = {1, 3, 5, 1, 11, 23, 53, 227, 497, 695, 313, 3305, 6549, 15401, 9339, 40283, 60531, 0};
static int joe_kuo_d6_initial_number13420[] = {1, 3, 5, 5, 3, 29, 77, 149, 509, 747, 85, 2561, 4435, 14475, 22887, 38177, 24535, 0};
static int joe_kuo_d6_initial_number13421[] = {1, 1, 7, 1, 1, 33, 7, 77, 153, 369, 689, 3325, 1173, 16203, 1499, 36627, 66915, 0};
static int joe_kuo_d6_initial_number13422[] = {1, 1, 5, 11, 23, 61, 95, 61, 289, 71, 653, 2817, 365, 7391, 1613, 48901, 57471, 0};
static int joe_kuo_d6_initial_number13423[] = {1, 3, 3, 7, 15, 29, 65, 133, 15, 921, 1601, 1941, 6917, 10945, 20101, 59809, 9017, 0};
static int joe_kuo_d6_initial_number13424[] = {1, 3, 3, 15, 7, 51, 95, 53, 87, 1017, 1039, 3405, 1967, 9855, 4905, 4651, 83487, 0};
static int joe_kuo_d6_initial_number13425[] = {1, 3, 5, 13, 23, 27, 31, 179, 121, 597, 829, 4003, 2487, 3977, 3087, 26791, 28305, 138357, 0};
static int joe_kuo_d6_initial_number13426[] = {1, 1, 5, 5, 5, 39, 95, 117, 461, 117, 109, 2571, 7651, 12361, 17921, 555, 33353, 186427, 0};
static int joe_kuo_d6_initial_number13427[] = {1, 1, 3, 13, 23, 47, 89, 125, 271, 609, 215, 3861, 6883, 3217, 2547, 54943, 60565, 215939, 0};
static int joe_kuo_d6_initial_number13428[] = {1, 1, 7, 15, 25, 61, 47, 93, 219, 919, 1551, 1417, 2753, 4353, 9201, 46423, 31227, 150649, 0};
static int joe_kuo_d6_initial_number13429[] = {1, 1, 1, 3, 29, 39, 11, 61, 137, 809, 147, 2715, 5455, 9431, 5725, 46135, 118193, 54099, 0};
static int joe_kuo_d6_initial_number13430[] = {1, 1, 3, 1, 25, 37, 83, 211, 423, 779, 1731, 2827, 883, 10477, 28771, 21723, 114333, 56293, 0};
static int joe_kuo_d6_initial_number13431[] = {1, 1, 5, 5, 27, 17, 21, 125, 495, 655, 1803, 3555, 1997, 15593, 29705, 48537, 53935, 179773, 0};
static int joe_kuo_d6_initial_number13432[] = {1, 1, 7, 5, 19, 63, 55, 15, 469, 769, 967, 3047, 1713, 11655, 15313, 29965, 78857, 223391, 0};
static int joe_kuo_d6_initial_number13433[] = {1, 3, 3, 5, 27, 33, 51, 171, 417, 243, 1203, 3505, 2533, 2695, 219, 57423, 5145, 143165, 0};
static int joe_kuo_d6_initial_number13434[] = {1, 3, 5, 9, 5, 19, 95, 97, 1, 863, 693, 2977, 4839, 6649, 22587, 40745, 113839, 69131, 0};
static int joe_kuo_d6_initial_number13435[] = {1, 3, 5, 1, 31, 39, 53, 85, 509, 5, 359, 1947, 3279, 5433, 21763, 46713, 37289, 35911, 0};
static int joe_kuo_d6_initial_number13436[] = {1, 3, 7, 13, 17, 35, 59, 63, 95, 667, 1775, 2165, 7861, 15731, 12159, 36179, 115457, 184819, 0};
static int joe_kuo_d6_initial_number13437[] = {1, 3, 3, 15, 19, 51, 7, 83, 367, 573, 503, 535, 333, 13041, 7187, 14479, 57473, 242951, 0};
static int joe_kuo_d6_initial_number13438[] = {1, 3, 5, 1, 7, 27, 65, 201, 365, 445, 985, 1175, 6391, 7345, 19935, 29085, 103001, 231855, 0};
static int joe_kuo_d6_initial_number13439[] = {1, 3, 5, 13, 15, 61, 95, 125, 135, 217, 1787, 417, 7641, 11825, 14531, 48497, 125087, 73279, 0};
static int joe_kuo_d6_initial_number13440[] = {1, 1, 5, 13, 7, 25, 77, 99, 341, 447, 1711, 137, 2749, 3465, 26255, 719, 102595, 112825, 0};
static int joe_kuo_d6_initial_number13441[] = {1, 1, 7, 7, 15, 13, 127, 57, 359, 591, 713, 409, 1293, 4979, 7035, 11369, 85255, 207241, 0};
static int joe_kuo_d6_initial_number13442[] = {1, 3, 3, 5, 1, 45, 123, 183, 297, 375, 1269, 1197, 2389, 6269, 24549, 44643, 75893, 161509, 0};
static int joe_kuo_d6_initial_number13443[] = {1, 1, 5, 7, 17, 55, 67, 51, 449, 383, 2037, 871, 1359, 15317, 22055, 4655, 18065, 258271, 0};
static int joe_kuo_d6_initial_number13444[] = {1, 1, 3, 11, 21, 27, 59, 205, 145, 195, 1747, 1121, 1061, 8879, 31455, 56541, 74765, 183047, 0};
static int joe_kuo_d6_initial_number13445[] = {1, 1, 5, 15, 1, 11, 69, 157, 13, 185, 1355, 467, 4383, 13103, 21679, 35169, 33427, 32113, 0};
static int joe_kuo_d6_initial_number13446[] = {1, 3, 1, 3, 29, 41, 15, 209, 313, 61, 1749, 2457, 1897, 15595, 24441, 39913, 40499, 5179, 0};
static int joe_kuo_d6_initial_number13447[] = {1, 3, 7, 15, 25, 41, 87, 125, 239, 73, 207, 2043, 1133, 12845, 8533, 16339, 117913, 118677, 0};
static int joe_kuo_d6_initial_number13448[] = {1, 1, 3, 15, 25, 9, 15, 97, 395, 99, 2017, 1003, 847, 2535, 11753, 54769, 54011, 73541, 0};
static int joe_kuo_d6_initial_number13449[] = {1, 1, 7, 15, 11, 61, 13, 49, 319, 871, 893, 165, 3957, 8683, 31197, 39491, 58705, 213411, 0};
static int joe_kuo_d6_initial_number13450[] = {1, 3, 7, 3, 17, 43, 29, 81, 461, 595, 541, 243, 5587, 13083, 29981, 16187, 124601, 89543, 0};
static int joe_kuo_d6_initial_number13451[] = {1, 1, 5, 11, 7, 5, 61, 43, 445, 115, 1705, 419, 4627, 15063, 16053, 26249, 112243, 208711, 0};
static int joe_kuo_d6_initial_number13452[] = {1, 3, 3, 9, 27, 21, 89, 49, 41, 859, 681, 2043, 7445, 9591, 13443, 36981, 66785, 227899, 0};
static int joe_kuo_d6_initial_number13453[] = {1, 1, 3, 5, 11, 55, 51, 45, 41, 739, 1199, 191, 4563, 4035, 3657, 12189, 52879, 33961, 0};
static int joe_kuo_d6_initial_number13454[] = {1, 1, 1, 3, 17, 59, 47, 217, 389, 783, 1501, 517, 6311, 7903, 1371, 50617, 41723, 116473, 0};
static int joe_kuo_d6_initial_number13455[] = {1, 1, 5, 13, 29, 39, 101, 203, 101, 479, 1337, 2647, 6447, 563, 2593, 16533, 122535, 25587, 0};
static int joe_kuo_d6_initial_number13456[] = {1, 1, 3, 3, 27, 21, 75, 173, 289, 279, 665, 3177, 559, 8539, 10903, 16779, 128219, 125907, 0};
static int joe_kuo_d6_initial_number13457[] = {1, 1, 1, 11, 27, 1, 61, 247, 113, 585, 331, 3443, 5939, 5213, 27289, 57057, 17349, 62359, 0};
static int joe_kuo_d6_initial_number13458[] = {1, 3, 5, 15, 21, 41, 67, 47, 121, 11, 545, 3609, 7745, 3669, 9045, 8377, 97655, 99631, 0};
static int joe_kuo_d6_initial_number13459[] = {1, 3, 5, 9, 11, 15, 111, 61, 67, 775, 579, 3421, 7827, 13607, 32373, 43531, 86149, 238827, 0};
static int joe_kuo_d6_initial_number13460[] = {1, 1, 1, 1, 9, 45, 79, 153, 331, 399, 1777, 3515, 3363, 3499, 13461, 48651, 21731, 220611, 0};
static int joe_kuo_d6_initial_number13461[] = {1, 1, 1, 1, 31, 57, 117, 223, 139, 725, 1115, 3203, 8185, 11983, 20245, 55913, 36803, 68101, 0};
static int joe_kuo_d6_initial_number13462[] = {1, 1, 1, 3, 31, 57, 53, 79, 225, 307, 1645, 3311, 643, 6587, 12037, 12453, 83461, 195503, 0};
static int joe_kuo_d6_initial_number13463[] = {1, 3, 1, 7, 23, 25, 65, 233, 273, 97, 37, 1563, 3635, 9299, 24367, 42761, 55, 128675, 0};
static int joe_kuo_d6_initial_number13464[] = {1, 3, 3, 11, 29, 21, 97, 143, 447, 345, 389, 381, 1403, 685, 309, 11103, 69769, 194441, 0};
static int joe_kuo_d6_initial_number13465[] = {1, 3, 3, 11, 23, 55, 119, 71, 23, 291, 1241, 1723, 5025, 4499, 26617, 22875, 62185, 240321, 0};
static int joe_kuo_d6_initial_number13466[] = {1, 1, 7, 11, 19, 63, 31, 131, 393, 99, 1061, 3805, 7477, 15357, 8269, 26067, 113349, 239333, 0};
static int joe_kuo_d6_initial_number13467[] = {1, 3, 5, 1, 5, 37, 77, 83, 37, 759, 1297, 3067, 5369, 5977, 7531, 49079, 94503, 192765, 0};
static int joe_kuo_d6_initial_number13468[] = {1, 1, 7, 1, 23, 9, 119, 137, 469, 73, 2001, 2629, 2681, 2295, 2055, 44027, 47627, 45283, 0};
static int joe_kuo_d6_initial_number13469[] = {1, 3, 1, 7, 31, 17, 61, 137, 241, 325, 1417, 2383, 4171, 2495, 215, 59593, 98495, 74727, 0};
static int joe_kuo_d6_initial_number13470[] = {1, 1, 7, 13, 7, 5, 59, 189, 131, 865, 1963, 1811, 5629, 16189, 16397, 58069, 72081, 191457, 0};
static int joe_kuo_d6_initial_number13471[] = {1, 1, 7, 15, 23, 33, 93, 247, 395, 643, 693, 3587, 4375, 5519, 9449, 37515, 11455, 218337, 0};
static int joe_kuo_d6_initial_number13472[] = {1, 1, 3, 1, 27, 63, 113, 91, 477, 55, 1461, 1547, 4743, 699, 21639, 1815, 169, 34239, 0};
static int joe_kuo_d6_initial_number13473[] = {1, 1, 5, 15, 29, 37, 19, 19, 247, 771, 695, 319, 1779, 10553, 16165, 60507, 87161, 86967, 0};
static int joe_kuo_d6_initial_number13474[] = {1, 1, 7, 1, 25, 61, 13, 167, 251, 861, 1717, 1533, 7323, 3945, 20879, 37759, 129689, 35901, 0};
static int joe_kuo_d6_initial_number13475[] = {1, 3, 3, 7, 7, 61, 11, 25, 187, 949, 1393, 1743, 745, 16313, 5293, 16921, 17619, 237705, 0};
static int joe_kuo_d6_initial_number13476[] = {1, 3, 5, 11, 7, 27, 11, 107, 299, 711, 149, 1581, 7747, 14285, 6411, 52209, 79043, 61117, 0};
static int joe_kuo_d6_initial_number13477[] = {1, 1, 5, 1, 17, 19, 91, 185, 53, 699, 1185, 4007, 1099, 1965, 20239, 19547, 120859, 234149, 0};
static int joe_kuo_d6_initial_number13478[] = {1, 1, 5, 5, 13, 61, 117, 187, 149, 957, 837, 3549, 6221, 501, 24755, 47975, 67007, 12329, 0};
static int joe_kuo_d6_initial_number13479[] = {1, 1, 3, 15, 21, 41, 55, 81, 397, 403, 1699, 1057, 6125, 11987, 3103, 43361, 21277, 156577, 0};
static int joe_kuo_d6_initial_number13480[] = {1, 1, 5, 11, 5, 27, 5, 177, 387, 859, 809, 3919, 4085, 1535, 6009, 13265, 3065, 217945, 0};
static int joe_kuo_d6_initial_number13481[] = {1, 3, 1, 13, 15, 57, 107, 81, 437, 305, 879, 1691, 3685, 11415, 3749, 46999, 113933, 10515, 0};
static int joe_kuo_d6_initial_number13482[] = {1, 1, 7, 13, 9, 43, 59, 223, 189, 329, 829, 2033, 1835, 8255, 8121, 46463, 61433, 86453, 0};
static int joe_kuo_d6_initial_number13483[] = {1, 3, 1, 9, 11, 49, 63, 125, 11, 987, 2017, 2623, 4753, 13889, 57, 24755, 108489, 175383, 0};
static int joe_kuo_d6_initial_number13484[] = {1, 1, 1, 3, 25, 33, 39, 151, 405, 657, 1755, 957, 5557, 7611, 25839, 51385, 92713, 64009, 0};
static int joe_kuo_d6_initial_number13485[] = {1, 3, 7, 9, 17, 17, 115, 89, 225, 715, 1085, 543, 1047, 15053, 14359, 43301, 31455, 156555, 0};
static int joe_kuo_d6_initial_number13486[] = {1, 1, 7, 11, 11, 21, 115, 5, 371, 1003, 1053, 1713, 5921, 7277, 799, 62483, 28079, 222319, 0};
static int joe_kuo_d6_initial_number13487[] = {1, 1, 3, 3, 31, 15, 127, 213, 459, 229, 1477, 1863, 1021, 14881, 16299, 5953, 121455, 49659, 0};
static int joe_kuo_d6_initial_number13488[] = {1, 1, 5, 9, 3, 39, 87, 219, 57, 479, 69, 2777, 8105, 11975, 14743, 26205, 93303, 45311, 0};
static int joe_kuo_d6_initial_number13489[] = {1, 1, 5, 13, 3, 43, 55, 139, 19, 715, 2035, 2993, 2945, 9075, 6275, 32233, 103127, 49523, 0};
static int joe_kuo_d6_initial_number13490[] = {1, 3, 1, 13, 19, 31, 109, 211, 261, 231, 697, 383, 2173, 14617, 11877, 37009, 5485, 236549, 0};
static int joe_kuo_d6_initial_number13491[] = {1, 1, 5, 3, 5, 23, 91, 115, 369, 11, 1021, 519, 655, 4461, 23743, 56981, 51687, 114845, 0};
static int joe_kuo_d6_initial_number13492[] = {1, 3, 7, 9, 29, 23, 19, 127, 17, 369, 1537, 2705, 4993, 1869, 15447, 28127, 73609, 97683, 0};
static int joe_kuo_d6_initial_number13493[] = {1, 1, 3, 9, 17, 61, 97, 187, 213, 861, 725, 3205, 103, 12729, 2915, 28389, 83123, 124065, 0};
static int joe_kuo_d6_initial_number13494[] = {1, 3, 1, 1, 5, 61, 47, 187, 471, 137, 1595, 707, 2449, 14315, 16409, 41467, 37533, 1649, 0};
static int joe_kuo_d6_initial_number13495[] = {1, 3, 5, 5, 7, 39, 1, 245, 361, 43, 1259, 3149, 3449, 15723, 6225, 27445, 80529, 215349, 0};
static int joe_kuo_d6_initial_number13496[] = {1, 3, 3, 11, 17, 27, 37, 47, 157, 345, 1437, 3219, 5663, 7299, 23925, 34067, 102379, 42767, 0};
static int joe_kuo_d6_initial_number13497[] = {1, 3, 5, 13, 21, 59, 43, 189, 17, 303, 1949, 3627, 3495, 7981, 18115, 34221, 43511, 255257, 0};
static int joe_kuo_d6_initial_number13498[] = {1, 3, 7, 15, 3, 29, 81, 243, 321, 853, 595, 2451, 1713, 11859, 27689, 12849, 24505, 9547, 0};
static int joe_kuo_d6_initial_number13499[] = {1, 3, 1, 3, 7, 7, 89, 183, 51, 901, 253, 2421, 7453, 15827, 21451, 58653, 51933, 239113, 0};
static int joe_kuo_d6_initial_number13500[] = {1, 1, 7, 3, 21, 59, 93, 25, 219, 805, 1699, 3777, 3683, 5351, 5481, 44797, 651, 32161, 0};
static int joe_kuo_d6_initial_number13501[] = {1, 3, 7, 5, 31, 15, 15, 167, 305, 545, 331, 3765, 8191, 5763, 16965, 7239, 73735, 1049, 0};
static int joe_kuo_d6_initial_number13502[] = {1, 3, 1, 15, 13, 19, 59, 107, 213, 39, 1547, 3413, 6175, 16195, 4635, 8945, 60301, 196697, 0};
static int joe_kuo_d6_initial_number13503[] = {1, 1, 3, 1, 29, 17, 51, 61, 261, 951, 643, 2329, 2235, 9171, 11265, 3523, 89781, 227125, 0};
static int joe_kuo_d6_initial_number13504[] = {1, 3, 5, 1, 1, 51, 75, 199, 479, 899, 1425, 3697, 2039, 4503, 11789, 16853, 94607, 236887, 0};
static int joe_kuo_d6_initial_number13505[] = {1, 3, 1, 9, 19, 43, 111, 41, 385, 677, 1067, 3391, 7819, 13663, 17713, 10155, 124243, 56005, 0};
static int joe_kuo_d6_initial_number13506[] = {1, 3, 5, 3, 15, 3, 105, 23, 307, 955, 843, 1277, 6697, 11903, 8901, 36129, 51685, 251115, 0};
static int joe_kuo_d6_initial_number13507[] = {1, 3, 1, 5, 27, 35, 95, 57, 207, 49, 1559, 171, 4703, 511, 4169, 23241, 111447, 173109, 0};
static int joe_kuo_d6_initial_number13508[] = {1, 3, 1, 13, 23, 5, 31, 15, 223, 673, 1333, 2243, 2479, 7489, 31891, 33909, 96803, 227027, 0};
static int joe_kuo_d6_initial_number13509[] = {1, 3, 5, 11, 5, 45, 19, 13, 367, 475, 1719, 3947, 5295, 2319, 20697, 181, 16925, 80239, 0};
static int joe_kuo_d6_initial_number13510[] = {1, 1, 5, 13, 15, 47, 89, 15, 153, 73, 523, 3529, 5401, 15881, 13779, 32123, 82347, 58749, 0};
static int joe_kuo_d6_initial_number13511[] = {1, 3, 5, 7, 5, 7, 123, 217, 261, 65, 685, 2175, 3289, 7473, 17857, 48335, 94183, 216857, 0};
static int joe_kuo_d6_initial_number13512[] = {1, 3, 7, 13, 7, 23, 85, 25, 231, 19, 1179, 2705, 6433, 10827, 1969, 51521, 76775, 260291, 0};
static int joe_kuo_d6_initial_number13513[] = {1, 3, 3, 13, 9, 39, 5, 141, 475, 777, 1809, 1975, 2347, 12611, 28303, 15239, 45429, 170015, 0};
static int joe_kuo_d6_initial_number13514[] = {1, 1, 7, 7, 31, 31, 39, 19, 317, 897, 739, 275, 2261, 16013, 1123, 33181, 96603, 37563, 0};
static int joe_kuo_d6_initial_number13515[] = {1, 1, 7, 13, 31, 55, 87, 239, 193, 435, 625, 2153, 3979, 15537, 19937, 50621, 48273, 31381, 0};
static int joe_kuo_d6_initial_number13516[] = {1, 1, 1, 15, 1, 57, 73, 237, 361, 749, 379, 2511, 501, 10783, 2787, 36983, 12393, 14345, 0};
static int joe_kuo_d6_initial_number13517[] = {1, 1, 1, 3, 25, 33, 85, 25, 83, 939, 139, 2601, 6385, 16041, 28463, 38977, 28163, 232165, 0};
static int joe_kuo_d6_initial_number13518[] = {1, 3, 5, 3, 9, 19, 119, 171, 499, 19, 569, 353, 1619, 6235, 24431, 47401, 48125, 168819, 0};
static int joe_kuo_d6_initial_number13519[] = {1, 1, 1, 3, 9, 27, 121, 137, 411, 391, 1437, 1339, 7475, 3889, 15451, 34809, 69807, 162851, 0};
static int joe_kuo_d6_initial_number13520[] = {1, 3, 5, 11, 31, 39, 41, 3, 171, 35, 81, 2713, 1077, 10697, 12343, 52133, 52825, 152255, 0};
static int joe_kuo_d6_initial_number13521[] = {1, 1, 3, 11, 17, 51, 83, 19, 357, 207, 897, 2167, 1333, 4111, 29295, 65371, 73447, 61765, 0};
static int joe_kuo_d6_initial_number13522[] = {1, 1, 3, 7, 9, 59, 17, 135, 365, 931, 1203, 277, 5531, 4213, 12969, 2617, 591, 154539, 0};
static int joe_kuo_d6_initial_number13523[] = {1, 3, 7, 11, 1, 53, 31, 49, 135, 603, 227, 911, 7371, 8559, 27195, 33065, 71351, 245255, 0};
static int joe_kuo_d6_initial_number13524[] = {1, 1, 7, 1, 15, 5, 31, 135, 197, 791, 1531, 2567, 2545, 15515, 25417, 27431, 15571, 176829, 0};
static int joe_kuo_d6_initial_number13525[] = {1, 3, 1, 1, 15, 7, 89, 217, 505, 859, 1329, 2285, 7921, 11839, 7699, 56867, 112483, 3895, 0};
static int joe_kuo_d6_initial_number13526[] = {1, 3, 1, 3, 27, 57, 37, 117, 491, 815, 275, 381, 7443, 3297, 1523, 34211, 97589, 232261, 0};
static int joe_kuo_d6_initial_number13527[] = {1, 1, 3, 3, 29, 63, 69, 153, 297, 423, 1435, 3927, 7265, 13223, 17607, 21201, 57929, 73037, 0};
static int joe_kuo_d6_initial_number13528[] = {1, 3, 1, 3, 23, 41, 1, 167, 121, 217, 973, 2149, 3807, 9895, 29635, 1625, 99829, 218541, 0};
static int joe_kuo_d6_initial_number13529[] = {1, 3, 5, 7, 31, 33, 53, 165, 51, 119, 7, 1655, 6521, 5481, 9503, 6833, 80483, 252111, 0};
static int joe_kuo_d6_initial_number13530[] = {1, 1, 7, 1, 5, 63, 25, 219, 165, 893, 1665, 2789, 1113, 9277, 3151, 12625, 82403, 59749, 0};
static int joe_kuo_d6_initial_number13531[] = {1, 3, 7, 3, 21, 13, 127, 127, 145, 993, 715, 1947, 7501, 4385, 11759, 2179, 26039, 28027, 0};
static int joe_kuo_d6_initial_number13532[] = {1, 3, 5, 9, 23, 27, 123, 1, 231, 709, 1615, 1433, 5991, 1045, 16269, 123, 110249, 154819, 0};
static int joe_kuo_d6_initial_number13533[] = {1, 1, 1, 5, 17, 11, 123, 151, 387, 905, 991, 1571, 4463, 6765, 31905, 59307, 75175, 204571, 0};
static int joe_kuo_d6_initial_number13534[] = {1, 3, 1, 11, 27, 49, 1, 181, 77, 1023, 807, 3479, 7965, 4633, 17495, 5991, 77081, 249343, 0};
static int joe_kuo_d6_initial_number13535[] = {1, 3, 1, 1, 13, 53, 105, 79, 269, 173, 1319, 1695, 1215, 3651, 25063, 34949, 77243, 214671, 0};
static int joe_kuo_d6_initial_number13536[] = {1, 1, 1, 1, 3, 19, 103, 233, 1, 507, 721, 1797, 5025, 405, 13027, 23693, 89963, 25771, 0};
static int joe_kuo_d6_initial_number13537[] = {1, 3, 5, 9, 21, 53, 1, 241, 405, 707, 1807, 3615, 1199, 11155, 27741, 53931, 55091, 248677, 0};
static int joe_kuo_d6_initial_number13538[] = {1, 3, 5, 7, 27, 27, 39, 77, 475, 845, 1393, 3779, 5261, 13017, 13517, 18595, 64485, 180577, 0};
static int joe_kuo_d6_initial_number13539[] = {1, 1, 3, 5, 7, 21, 95, 59, 203, 233, 1167, 3457, 3965, 4321, 14885, 6335, 78353, 39341, 0};
static int joe_kuo_d6_initial_number13540[] = {1, 1, 7, 13, 27, 19, 27, 133, 419, 507, 945, 3595, 131, 7981, 31451, 62347, 19151, 256127, 0};
static int joe_kuo_d6_initial_number13541[] = {1, 3, 7, 3, 7, 15, 9, 173, 257, 983, 223, 2881, 6911, 3681, 26183, 38943, 112171, 148627, 0};
static int joe_kuo_d6_initial_number13542[] = {1, 3, 3, 15, 5, 49, 91, 205, 303, 183, 775, 3841, 4943, 14417, 23013, 59337, 85835, 181771, 0};
static int joe_kuo_d6_initial_number13543[] = {1, 3, 5, 9, 21, 1, 117, 27, 509, 263, 1215, 893, 6677, 3275, 20831, 5045, 127323, 62589, 0};
static int joe_kuo_d6_initial_number13544[] = {1, 1, 1, 3, 17, 61, 77, 239, 379, 649, 1151, 2359, 2659, 13853, 30589, 55873, 50359, 184125, 0};
static int joe_kuo_d6_initial_number13545[] = {1, 1, 7, 5, 17, 33, 95, 111, 245, 873, 1721, 3079, 7753, 12889, 27107, 8267, 119413, 249045, 0};
static int joe_kuo_d6_initial_number13546[] = {1, 1, 1, 15, 13, 23, 59, 169, 449, 283, 913, 2099, 5337, 4307, 3701, 16395, 112987, 14183, 0};
static int joe_kuo_d6_initial_number13547[] = {1, 1, 5, 3, 5, 15, 3, 249, 97, 849, 1551, 3437, 1247, 10915, 24073, 53723, 40345, 37215, 0};
static int joe_kuo_d6_initial_number13548[] = {1, 1, 1, 5, 21, 59, 109, 79, 9, 827, 1329, 405, 3821, 8415, 11239, 1003, 78967, 112627, 0};
static int joe_kuo_d6_initial_number13549[] = {1, 1, 1, 11, 21, 7, 21, 45, 327, 365, 865, 1409, 1273, 15675, 21425, 45367, 22279, 240943, 0};
static int joe_kuo_d6_initial_number13550[] = {1, 3, 3, 7, 3, 19, 83, 163, 381, 547, 195, 1537, 7905, 9057, 1309, 41135, 118857, 101725, 0};
static int joe_kuo_d6_initial_number13551[] = {1, 1, 5, 9, 11, 19, 107, 247, 309, 343, 1697, 699, 7137, 12815, 18405, 42673, 505, 104801, 0};
static int joe_kuo_d6_initial_number13552[] = {1, 3, 5, 3, 13, 43, 55, 15, 441, 843, 1153, 3739, 67, 11053, 30985, 55329, 57301, 190991, 0};
static int joe_kuo_d6_initial_number13553[] = {1, 1, 5, 3, 23, 41, 9, 239, 227, 145, 1895, 2645, 945, 6421, 2859, 16173, 97043, 234649, 0};
static int joe_kuo_d6_initial_number13554[] = {1, 3, 1, 3, 23, 47, 57, 207, 441, 279, 1951, 3041, 2465, 6143, 27669, 41171, 89627, 2489, 0};
static int joe_kuo_d6_initial_number13555[] = {1, 3, 1, 11, 7, 9, 19, 51, 345, 187, 1699, 1483, 15, 10321, 25277, 34889, 85225, 259071, 0};
static int joe_kuo_d6_initial_number13556[] = {1, 1, 1, 15, 27, 15, 79, 51, 407, 757, 611, 3955, 1123, 14659, 11273, 56639, 64727, 183077, 0};
static int joe_kuo_d6_initial_number13557[] = {1, 3, 7, 1, 13, 61, 89, 157, 29, 561, 791, 995, 4233, 11351, 16335, 47041, 108671, 120115, 0};
static int joe_kuo_d6_initial_number13558[] = {1, 3, 3, 15, 17, 35, 15, 223, 57, 7, 961, 3327, 7287, 5537, 26231, 3289, 106555, 109781, 0};
static int joe_kuo_d6_initial_number13559[] = {1, 3, 7, 15, 17, 3, 25, 121, 349, 995, 1353, 2991, 3071, 3583, 26173, 42343, 60495, 44035, 0};
static int joe_kuo_d6_initial_number13560[] = {1, 3, 1, 11, 5, 5, 83, 249, 427, 173, 1733, 45, 3277, 7911, 18091, 61305, 130251, 31849, 0};
static int joe_kuo_d6_initial_number13561[] = {1, 1, 1, 9, 3, 23, 23, 127, 371, 1011, 573, 1769, 1707, 15351, 30077, 61139, 122963, 203481, 0};
static int joe_kuo_d6_initial_number13562[] = {1, 1, 1, 13, 27, 41, 97, 29, 461, 207, 1393, 707, 5633, 7155, 13455, 7305, 107539, 136413, 0};
static int joe_kuo_d6_initial_number13563[] = {1, 1, 1, 9, 3, 13, 61, 115, 297, 333, 1679, 127, 8049, 3129, 31845, 40039, 77087, 6831, 0};
static int joe_kuo_d6_initial_number13564[] = {1, 3, 3, 11, 27, 25, 49, 29, 423, 193, 1955, 2927, 5679, 3537, 16911, 47065, 126803, 129957, 0};
static int joe_kuo_d6_initial_number13565[] = {1, 1, 1, 3, 21, 31, 25, 187, 301, 883, 1301, 415, 1515, 14761, 227, 24377, 54415, 64553, 0};
static int joe_kuo_d6_initial_number13566[] = {1, 3, 7, 7, 3, 5, 69, 221, 357, 587, 1387, 3719, 5355, 10569, 14731, 22515, 107237, 1673, 0};
static int joe_kuo_d6_initial_number13567[] = {1, 1, 3, 15, 27, 7, 89, 23, 213, 655, 779, 1641, 1793, 1499, 27279, 59423, 56715, 90313, 0};
static int joe_kuo_d6_initial_number13568[] = {1, 3, 3, 7, 3, 33, 85, 181, 509, 327, 353, 1625, 4995, 15627, 17071, 31885, 122423, 100337, 0};
static int joe_kuo_d6_initial_number13569[] = {1, 3, 5, 9, 7, 39, 45, 157, 279, 211, 1163, 3283, 4419, 10187, 22397, 42119, 25105, 163925, 0};
static int joe_kuo_d6_initial_number13570[] = {1, 3, 3, 15, 17, 37, 75, 65, 501, 765, 1171, 2451, 309, 551, 15573, 65497, 106435, 20817, 0};
static int joe_kuo_d6_initial_number13571[] = {1, 1, 3, 1, 13, 1, 79, 117, 5, 285, 953, 2401, 2479, 15765, 25677, 63611, 91807, 78153, 0};
static int joe_kuo_d6_initial_number13572[] = {1, 1, 5, 15, 1, 7, 123, 159, 217, 307, 1779, 2625, 101, 13887, 31721, 55769, 94899, 183427, 0};
static int joe_kuo_d6_initial_number13573[] = {1, 3, 5, 5, 11, 13, 59, 205, 221, 871, 753, 823, 547, 11055, 31621, 54379, 23631, 137027, 0};
static int joe_kuo_d6_initial_number13574[] = {1, 3, 3, 7, 5, 17, 7, 31, 37, 237, 1633, 969, 4123, 6643, 28499, 3277, 130223, 37465, 0};
static int joe_kuo_d6_initial_number13575[] = {1, 3, 7, 5, 29, 41, 65, 159, 487, 61, 1217, 4093, 487, 15257, 13379, 46641, 88043, 107425, 0};
static int joe_kuo_d6_initial_number13576[] = {1, 1, 7, 7, 19, 29, 87, 119, 13, 877, 467, 2661, 7733, 9303, 20069, 8445, 126159, 69421, 0};
static int joe_kuo_d6_initial_number13577[] = {1, 3, 1, 13, 1, 57, 77, 241, 185, 479, 859, 2397, 1167, 6545, 20715, 50701, 107781, 149965, 0};
static int joe_kuo_d6_initial_number13578[] = {1, 1, 5, 1, 1, 3, 19, 31, 473, 685, 1455, 1537, 1843, 4051, 17475, 56717, 70257, 112815, 0};
static int joe_kuo_d6_initial_number13579[] = {1, 3, 7, 15, 9, 21, 19, 201, 13, 551, 1053, 1291, 3793, 7923, 30425, 55513, 30033, 70597, 0};
static int joe_kuo_d6_initial_number13580[] = {1, 3, 1, 15, 21, 47, 127, 117, 199, 655, 1979, 1291, 8017, 11769, 9071, 12029, 112369, 2529, 0};
static int joe_kuo_d6_initial_number13581[] = {1, 3, 5, 1, 15, 3, 25, 199, 101, 997, 597, 2485, 6509, 11913, 19573, 13985, 56165, 249, 0};
static int joe_kuo_d6_initial_number13582[] = {1, 1, 7, 3, 19, 45, 107, 229, 241, 747, 1219, 3133, 3675, 4441, 13933, 64571, 95445, 250713, 0};
static int joe_kuo_d6_initial_number13583[] = {1, 3, 1, 5, 11, 31, 89, 119, 503, 99, 75, 349, 7479, 15161, 6365, 62461, 39443, 188455, 0};
static int joe_kuo_d6_initial_number13584[] = {1, 1, 5, 13, 25, 31, 65, 237, 259, 329, 89, 1283, 6033, 4401, 7655, 38837, 62367, 76555, 0};
static int joe_kuo_d6_initial_number13585[] = {1, 1, 1, 7, 19, 61, 109, 41, 361, 89, 171, 2319, 3625, 8905, 24461, 36135, 28515, 101547, 0};
static int joe_kuo_d6_initial_number13586[] = {1, 3, 5, 3, 5, 45, 123, 227, 339, 79, 309, 2619, 1621, 1295, 6395, 6717, 119933, 187231, 0};
static int joe_kuo_d6_initial_number13587[] = {1, 1, 1, 3, 3, 45, 91, 225, 269, 475, 1159, 2599, 5087, 4141, 28375, 22413, 56235, 256559, 0};
static int joe_kuo_d6_initial_number13588[] = {1, 1, 1, 13, 7, 51, 27, 65, 65, 381, 169, 1759, 4653, 9885, 25839, 19851, 4965, 249097, 0};
static int joe_kuo_d6_initial_number13589[] = {1, 3, 7, 11, 25, 11, 83, 137, 419, 277, 503, 2823, 2759, 8173, 9405, 23731, 116087, 9735, 0};
static int joe_kuo_d6_initial_number13590[] = {1, 1, 5, 5, 27, 17, 123, 145, 41, 85, 1099, 1087, 1465, 7063, 8585, 39427, 15479, 243967, 0};
static int joe_kuo_d6_initial_number13591[] = {1, 1, 7, 3, 21, 53, 105, 185, 101, 763, 593, 2649, 3273, 5655, 12233, 11761, 27093, 121347, 0};
static int joe_kuo_d6_initial_number13592[] = {1, 1, 1, 5, 11, 55, 107, 167, 179, 681, 741, 1821, 4297, 14677, 9949, 9647, 60465, 36999, 0};
static int joe_kuo_d6_initial_number13593[] = {1, 1, 1, 7, 25, 43, 95, 71, 161, 517, 1475, 1989, 6273, 13295, 19681, 51773, 93523, 33441, 0};
static int joe_kuo_d6_initial_number13594[] = {1, 3, 1, 13, 23, 59, 95, 177, 73, 707, 37, 421, 3747, 14207, 17159, 4957, 20161, 26185, 0};
static int joe_kuo_d6_initial_number13595[] = {1, 1, 7, 13, 13, 1, 19, 153, 445, 429, 1911, 3515, 639, 16015, 833, 54347, 87717, 82175, 0};
static int joe_kuo_d6_initial_number13596[] = {1, 3, 5, 9, 1, 9, 115, 87, 341, 651, 1583, 807, 559, 13579, 9647, 37277, 125555, 169655, 0};
static int joe_kuo_d6_initial_number13597[] = {1, 1, 3, 5, 13, 23, 117, 229, 205, 803, 1381, 2773, 7099, 4031, 597, 37135, 11643, 92325, 0};
static int joe_kuo_d6_initial_number13598[] = {1, 3, 7, 9, 27, 15, 33, 147, 1, 799, 1511, 2609, 1419, 5991, 15571, 56995, 97695, 223969, 0};
static int joe_kuo_d6_initial_number13599[] = {1, 3, 1, 3, 17, 9, 17, 189, 407, 355, 765, 2545, 1079, 15253, 4785, 5187, 80775, 238775, 0};
static int joe_kuo_d6_initial_number13600[] = {1, 1, 3, 1, 31, 29, 3, 159, 263, 325, 125, 2221, 6369, 5717, 13985, 33829, 21375, 134249, 0};
static int joe_kuo_d6_initial_number13601[] = {1, 3, 7, 3, 5, 29, 39, 75, 183, 155, 1017, 637, 921, 9561, 14893, 59695, 38325, 15503, 0};
static int joe_kuo_d6_initial_number13602[] = {1, 1, 3, 13, 9, 31, 43, 71, 241, 661, 325, 357, 431, 903, 5039, 24535, 94241, 228605, 0};
static int joe_kuo_d6_initial_number13603[] = {1, 3, 1, 1, 17, 37, 93, 47, 25, 207, 611, 415, 6473, 15979, 2025, 19003, 8941, 248779, 0};
static int joe_kuo_d6_initial_number13604[] = {1, 1, 7, 15, 19, 17, 81, 201, 121, 11, 1975, 1289, 4405, 7851, 9707, 20057, 33749, 187161, 0};
static int joe_kuo_d6_initial_number13605[] = {1, 1, 3, 5, 29, 31, 47, 99, 435, 795, 947, 1299, 4011, 8315, 12827, 48071, 86567, 154655, 0};
static int joe_kuo_d6_initial_number13606[] = {1, 1, 5, 3, 9, 59, 115, 191, 177, 65, 1835, 3989, 1819, 14325, 8939, 25337, 16099, 200577, 0};
static int joe_kuo_d6_initial_number13607[] = {1, 3, 7, 9, 15, 47, 7, 195, 413, 1013, 1607, 3317, 6979, 13243, 275, 34125, 66069, 90201, 0};
static int joe_kuo_d6_initial_number13608[] = {1, 1, 3, 3, 29, 3, 51, 137, 341, 393, 897, 351, 1937, 6793, 12551, 18873, 110949, 133925, 0};
static int joe_kuo_d6_initial_number13609[] = {1, 3, 5, 9, 29, 41, 79, 169, 113, 123, 1229, 1885, 6153, 1549, 31729, 41949, 74083, 41387, 0};
static int joe_kuo_d6_initial_number13610[] = {1, 3, 1, 15, 31, 49, 7, 233, 305, 435, 1299, 3037, 2387, 15431, 817, 11783, 24067, 116527, 0};
static int joe_kuo_d6_initial_number13611[] = {1, 3, 5, 13, 7, 17, 49, 33, 133, 45, 689, 2381, 2649, 2433, 27535, 21755, 88611, 200585, 0};
static int joe_kuo_d6_initial_number13612[] = {1, 1, 5, 11, 1, 61, 87, 97, 91, 433, 313, 2541, 5289, 5769, 17963, 5719, 12165, 146849, 0};
static int joe_kuo_d6_initial_number13613[] = {1, 3, 7, 13, 17, 21, 37, 191, 489, 847, 841, 3567, 7339, 15233, 23973, 1209, 99741, 243303, 0};
static int joe_kuo_d6_initial_number13614[] = {1, 3, 1, 1, 5, 21, 11, 39, 69, 751, 1679, 143, 6187, 2963, 695, 45763, 126749, 243841, 0};
static int joe_kuo_d6_initial_number13615[] = {1, 3, 3, 9, 21, 55, 43, 73, 133, 417, 495, 2899, 5681, 13049, 30241, 44519, 19095, 30673, 0};
static int joe_kuo_d6_initial_number13616[] = {1, 1, 5, 9, 17, 51, 121, 205, 273, 597, 1325, 3755, 5113, 12287, 21323, 17947, 23807, 20025, 0};
static int joe_kuo_d6_initial_number13617[] = {1, 1, 7, 7, 21, 11, 25, 33, 207, 13, 1639, 1971, 7401, 11771, 7879, 59027, 111981, 65451, 0};
static int joe_kuo_d6_initial_number13618[] = {1, 3, 5, 15, 3, 15, 121, 23, 199, 839, 937, 3659, 5379, 2139, 31631, 17215, 65349, 157413, 0};
static int joe_kuo_d6_initial_number13619[] = {1, 1, 1, 7, 3, 7, 81, 49, 17, 693, 1819, 2737, 7329, 49, 1655, 42317, 31385, 11435, 0};
static int joe_kuo_d6_initial_number13620[] = {1, 3, 5, 15, 25, 51, 121, 133, 457, 159, 869, 855, 3529, 2691, 147, 58621, 78379, 148519, 0};
static int joe_kuo_d6_initial_number13621[] = {1, 1, 3, 7, 1, 53, 109, 81, 37, 553, 1921, 3081, 2665, 12665, 13887, 1035, 16987, 48883, 0};
static int joe_kuo_d6_initial_number13622[] = {1, 1, 5, 1, 19, 1, 121, 97, 143, 871, 1401, 2879, 5657, 5479, 14011, 65131, 56011, 241055, 0};
static int joe_kuo_d6_initial_number13623[] = {1, 1, 7, 5, 9, 21, 9, 43, 331, 183, 1313, 2495, 6905, 2763, 29567, 7579, 95169, 130937, 0};
static int joe_kuo_d6_initial_number13624[] = {1, 3, 7, 3, 3, 37, 65, 195, 339, 527, 1383, 3063, 7749, 11109, 8097, 27257, 107615, 134241, 0};
static int joe_kuo_d6_initial_number13625[] = {1, 1, 1, 5, 25, 25, 63, 179, 135, 65, 169, 2709, 5435, 12119, 21549, 59847, 129639, 220163, 0};
static int joe_kuo_d6_initial_number13626[] = {1, 3, 5, 1, 3, 17, 87, 181, 9, 923, 731, 3397, 7079, 3281, 10455, 35471, 20439, 206209, 0};
static int joe_kuo_d6_initial_number13627[] = {1, 1, 1, 5, 31, 25, 15, 89, 381, 675, 1217, 3175, 707, 585, 1695, 57771, 92433, 203523, 0};
static int joe_kuo_d6_initial_number13628[] = {1, 3, 5, 15, 5, 7, 9, 87, 461, 1017, 869, 1541, 7833, 3117, 24917, 13917, 104797, 149045, 0};
static int joe_kuo_d6_initial_number13629[] = {1, 1, 7, 15, 13, 49, 9, 89, 165, 827, 657, 1977, 7471, 15437, 25785, 1455, 52803, 198793, 0};
static int joe_kuo_d6_initial_number13630[] = {1, 3, 1, 15, 3, 39, 27, 205, 325, 345, 965, 1439, 4403, 10717, 9591, 46845, 123983, 76181, 0};
static int joe_kuo_d6_initial_number13631[] = {1, 3, 1, 1, 25, 23, 97, 135, 367, 179, 1563, 75, 455, 3517, 21539, 59565, 43449, 139495, 0};
static int joe_kuo_d6_initial_number13632[] = {1, 1, 5, 15, 13, 27, 55, 21, 1, 505, 1349, 409, 2491, 5299, 15771, 59389, 110377, 209275, 0};
static int joe_kuo_d6_initial_number13633[] = {1, 1, 7, 9, 31, 15, 63, 91, 3, 559, 419, 1237, 1157, 5811, 24335, 19215, 12581, 148813, 0};
static int joe_kuo_d6_initial_number13634[] = {1, 1, 7, 13, 23, 3, 81, 127, 33, 931, 867, 2905, 1011, 16207, 1543, 54309, 10611, 152733, 0};
static int joe_kuo_d6_initial_number13635[] = {1, 3, 5, 7, 21, 19, 45, 101, 439, 537, 267, 945, 8007, 9383, 13211, 21867, 5731, 150203, 0};
static int joe_kuo_d6_initial_number13636[] = {1, 1, 3, 9, 29, 3, 31, 219, 217, 775, 1011, 445, 2663, 1691, 9837, 5727, 116283, 128627, 0};
static int joe_kuo_d6_initial_number13637[] = {1, 3, 3, 3, 21, 1, 97, 239, 457, 925, 1923, 1693, 1187, 13437, 8529, 22081, 633, 76109, 0};
static int joe_kuo_d6_initial_number13638[] = {1, 3, 7, 7, 19, 5, 9, 15, 337, 855, 1563, 3159, 2799, 4103, 2013, 47789, 77027, 22425, 0};
static int joe_kuo_d6_initial_number13639[] = {1, 1, 3, 15, 15, 41, 27, 77, 489, 377, 1953, 305, 5081, 1895, 5117, 51455, 71859, 190289, 0};
static int joe_kuo_d6_initial_number13640[] = {1, 1, 5, 7, 7, 7, 13, 25, 115, 657, 223, 3185, 5327, 2559, 5147, 22237, 91933, 195429, 0};
static int joe_kuo_d6_initial_number13641[] = {1, 1, 3, 5, 5, 19, 3, 197, 371, 237, 555, 2873, 3401, 3329, 29165, 4593, 111677, 244025, 0};
static int joe_kuo_d6_initial_number13642[] = {1, 3, 5, 15, 15, 55, 29, 75, 329, 623, 279, 2831, 4489, 7803, 24119, 12959, 59783, 135213, 0};
static int joe_kuo_d6_initial_number13643[] = {1, 3, 5, 13, 31, 21, 93, 77, 401, 353, 893, 917, 4813, 8027, 7847, 55315, 60213, 102763, 0};
static int joe_kuo_d6_initial_number13644[] = {1, 1, 5, 13, 29, 49, 91, 35, 79, 625, 1539, 509, 823, 2239, 30867, 21729, 33195, 38189, 0};
static int joe_kuo_d6_initial_number13645[] = {1, 3, 3, 3, 19, 11, 39, 145, 5, 329, 1653, 3205, 4431, 9291, 30369, 63173, 72317, 236103, 0};
static int joe_kuo_d6_initial_number13646[] = {1, 3, 3, 15, 27, 9, 111, 191, 249, 845, 1845, 2097, 6529, 9559, 25757, 29085, 2615, 175759, 0};
static int joe_kuo_d6_initial_number13647[] = {1, 3, 7, 1, 17, 59, 119, 125, 213, 995, 601, 2517, 1225, 2301, 13031, 40881, 31623, 165799, 0};
static int joe_kuo_d6_initial_number13648[] = {1, 3, 3, 13, 25, 61, 97, 157, 347, 931, 1731, 3697, 5815, 7309, 30605, 3853, 72395, 103609, 0};
static int joe_kuo_d6_initial_number13649[] = {1, 1, 7, 5, 23, 13, 51, 117, 495, 683, 777, 1629, 5683, 801, 4907, 24935, 9457, 214131, 0};
static int joe_kuo_d6_initial_number13650[] = {1, 1, 5, 9, 1, 29, 107, 253, 195, 921, 345, 1451, 2253, 12723, 571, 12009, 34149, 140659, 0};
static int joe_kuo_d6_initial_number13651[] = {1, 1, 5, 9, 31, 17, 93, 5, 455, 205, 1439, 1199, 7371, 12973, 16455, 675, 60561, 99575, 0};
static int joe_kuo_d6_initial_number13652[] = {1, 3, 3, 3, 31, 37, 115, 49, 31, 285, 2029, 1369, 3443, 2411, 10367, 44859, 26737, 195703, 0};
static int joe_kuo_d6_initial_number13653[] = {1, 1, 3, 1, 15, 39, 113, 37, 257, 3, 817, 2901, 4029, 12595, 30475, 34883, 109133, 92159, 0};
static int joe_kuo_d6_initial_number13654[] = {1, 1, 7, 5, 9, 1, 9, 101, 317, 167, 1975, 411, 6875, 6951, 4401, 59483, 129813, 78289, 0};
static int joe_kuo_d6_initial_number13655[] = {1, 1, 7, 9, 9, 5, 73, 7, 57, 907, 1887, 2923, 961, 8521, 873, 33791, 114485, 43081, 0};
static int joe_kuo_d6_initial_number13656[] = {1, 1, 5, 7, 13, 45, 91, 179, 499, 197, 1337, 1321, 5307, 15503, 20449, 60813, 97393, 255741, 0};
static int joe_kuo_d6_initial_number13657[] = {1, 1, 1, 5, 25, 13, 69, 221, 207, 823, 845, 3845, 6743, 5123, 27447, 2079, 100635, 124157, 0};
static int joe_kuo_d6_initial_number13658[] = {1, 3, 5, 11, 13, 39, 121, 209, 137, 63, 1479, 323, 5347, 9797, 17785, 55541, 108713, 243347, 0};
static int joe_kuo_d6_initial_number13659[] = {1, 1, 3, 9, 29, 45, 43, 81, 115, 979, 727, 423, 1133, 8757, 27833, 39907, 104663, 33067, 0};
static int joe_kuo_d6_initial_number13660[] = {1, 3, 5, 1, 13, 61, 49, 17, 409, 567, 1035, 2299, 3711, 15485, 7767, 27809, 1275, 96455, 0};
static int joe_kuo_d6_initial_number13661[] = {1, 1, 5, 9, 5, 33, 13, 9, 505, 459, 747, 4079, 4271, 6925, 13933, 31349, 5793, 68381, 0};
static int joe_kuo_d6_initial_number13662[] = {1, 3, 3, 11, 15, 47, 15, 187, 349, 847, 817, 3551, 6059, 6451, 32615, 1635, 108889, 48003, 0};
static int joe_kuo_d6_initial_number13663[] = {1, 3, 5, 7, 3, 31, 11, 255, 367, 295, 1079, 2981, 5583, 10771, 25359, 16083, 24163, 111201, 0};
static int joe_kuo_d6_initial_number13664[] = {1, 3, 5, 5, 7, 5, 127, 19, 343, 849, 287, 1471, 7299, 1209, 31349, 33473, 4989, 229181, 0};
static int joe_kuo_d6_initial_number13665[] = {1, 1, 3, 9, 25, 61, 7, 65, 77, 745, 1871, 2427, 3669, 8965, 11177, 5531, 115801, 34327, 0};
static int joe_kuo_d6_initial_number13666[] = {1, 3, 3, 15, 1, 57, 125, 167, 173, 875, 347, 2317, 6687, 4339, 10573, 7841, 16241, 192225, 0};
static int joe_kuo_d6_initial_number13667[] = {1, 3, 1, 3, 15, 37, 45, 189, 75, 1017, 1919, 3401, 329, 2539, 32697, 60801, 52017, 192611, 0};
static int joe_kuo_d6_initial_number13668[] = {1, 3, 1, 5, 1, 23, 43, 55, 1, 443, 1769, 1633, 5225, 6855, 5419, 65139, 22237, 17415, 0};
static int joe_kuo_d6_initial_number13669[] = {1, 3, 5, 15, 25, 7, 107, 209, 325, 367, 373, 1855, 1313, 12899, 30137, 19007, 9911, 11791, 0};
static int joe_kuo_d6_initial_number13670[] = {1, 3, 7, 13, 3, 57, 123, 93, 279, 469, 1817, 3409, 565, 3997, 14119, 58341, 59691, 163323, 0};
static int joe_kuo_d6_initial_number13671[] = {1, 1, 3, 9, 3, 3, 69, 109, 47, 487, 1895, 2003, 7309, 9803, 9527, 52211, 31213, 41521, 0};
static int joe_kuo_d6_initial_number13672[] = {1, 1, 7, 7, 9, 15, 101, 227, 75, 501, 25, 1481, 4847, 13279, 28673, 11069, 61987, 5365, 0};
static int joe_kuo_d6_initial_number13673[] = {1, 3, 1, 1, 25, 5, 47, 125, 97, 969, 1077, 1185, 6033, 13927, 18149, 34255, 14353, 66323, 0};
static int joe_kuo_d6_initial_number13674[] = {1, 1, 3, 1, 25, 41, 19, 69, 385, 585, 1049, 3497, 3615, 13211, 18855, 61303, 115739, 42639, 0};
static int joe_kuo_d6_initial_number13675[] = {1, 3, 7, 7, 13, 15, 13, 133, 497, 265, 1809, 4073, 5673, 7543, 30823, 13505, 76167, 98683, 0};
static int joe_kuo_d6_initial_number13676[] = {1, 1, 5, 5, 3, 59, 47, 191, 419, 505, 2035, 329, 553, 1561, 27885, 39767, 102611, 12689, 0};
static int joe_kuo_d6_initial_number13677[] = {1, 3, 7, 3, 27, 49, 27, 133, 305, 537, 385, 335, 2417, 14891, 31299, 26201, 124655, 150545, 0};
static int joe_kuo_d6_initial_number13678[] = {1, 1, 1, 9, 7, 1, 27, 105, 347, 481, 2043, 1645, 4367, 10335, 16457, 48713, 64699, 63595, 0};
static int joe_kuo_d6_initial_number13679[] = {1, 1, 3, 3, 7, 57, 125, 209, 299, 525, 591, 1265, 7557, 15113, 19319, 56269, 43919, 215435, 0};
static int joe_kuo_d6_initial_number13680[] = {1, 1, 1, 11, 29, 59, 119, 245, 63, 919, 1913, 3969, 545, 1033, 20975, 61327, 36783, 124303, 0};
static int joe_kuo_d6_initial_number13681[] = {1, 1, 7, 7, 11, 63, 45, 135, 405, 931, 753, 2559, 5475, 2107, 6437, 6055, 43497, 133571, 0};
static int joe_kuo_d6_initial_number13682[] = {1, 3, 1, 13, 31, 39, 39, 141, 231, 83, 69, 473, 1095, 13617, 10909, 49861, 98029, 235003, 0};
static int joe_kuo_d6_initial_number13683[] = {1, 3, 7, 13, 13, 41, 73, 107, 505, 359, 957, 1599, 7617, 1843, 25531, 63755, 96295, 167955, 0};
static int joe_kuo_d6_initial_number13684[] = {1, 3, 3, 11, 13, 41, 61, 65, 165, 507, 1007, 1695, 91, 8781, 15017, 12063, 95331, 179853, 0};
static int joe_kuo_d6_initial_number13685[] = {1, 3, 7, 7, 29, 19, 7, 95, 303, 641, 581, 3539, 4495, 13549, 20195, 20845, 16961, 95053, 0};
static int joe_kuo_d6_initial_number13686[] = {1, 1, 7, 5, 15, 27, 13, 155, 345, 341, 1583, 2207, 2497, 6509, 24343, 3109, 71431, 184871, 0};
static int joe_kuo_d6_initial_number13687[] = {1, 1, 3, 15, 31, 35, 37, 249, 71, 1005, 681, 3457, 3387, 13797, 8781, 11789, 16825, 11133, 0};
static int joe_kuo_d6_initial_number13688[] = {1, 3, 7, 11, 5, 29, 121, 139, 77, 859, 163, 2749, 6401, 16303, 22659, 11817, 61667, 119993, 0};
static int joe_kuo_d6_initial_number13689[] = {1, 1, 7, 11, 15, 45, 71, 87, 293, 981, 1581, 2789, 4117, 12791, 13611, 489, 74823, 71263, 0};
static int joe_kuo_d6_initial_number13690[] = {1, 1, 3, 9, 15, 21, 59, 167, 469, 723, 1609, 2111, 6359, 10781, 1043, 51039, 24429, 14605, 0};
static int joe_kuo_d6_initial_number13691[] = {1, 3, 3, 9, 13, 25, 1, 43, 61, 869, 1919, 601, 8003, 15841, 10141, 33187, 124991, 94205, 0};
static int joe_kuo_d6_initial_number13692[] = {1, 1, 7, 5, 23, 13, 67, 43, 167, 667, 1743, 2523, 2245, 9287, 8115, 64995, 121371, 188321, 0};
static int joe_kuo_d6_initial_number13693[] = {1, 1, 1, 9, 13, 19, 45, 249, 21, 751, 239, 4035, 4549, 8905, 9377, 47535, 78135, 210429, 0};
static int joe_kuo_d6_initial_number13694[] = {1, 1, 3, 7, 5, 43, 13, 227, 75, 785, 631, 205, 3475, 9735, 17867, 61407, 75897, 51151, 0};
static int joe_kuo_d6_initial_number13695[] = {1, 3, 3, 9, 31, 21, 11, 53, 247, 717, 1505, 3903, 3249, 3185, 29007, 48795, 43413, 158653, 0};
static int joe_kuo_d6_initial_number13696[] = {1, 1, 5, 11, 19, 9, 37, 159, 183, 521, 743, 2877, 2291, 10317, 1211, 17951, 16335, 66439, 0};
static int joe_kuo_d6_initial_number13697[] = {1, 1, 3, 7, 3, 41, 15, 113, 125, 391, 201, 3841, 255, 15381, 16801, 47219, 119691, 51811, 0};
static int joe_kuo_d6_initial_number13698[] = {1, 1, 3, 1, 1, 29, 79, 181, 481, 969, 297, 625, 7449, 5813, 5915, 20011, 44853, 231933, 0};
static int joe_kuo_d6_initial_number13699[] = {1, 1, 1, 5, 5, 49, 63, 171, 93, 107, 1083, 1277, 121, 4421, 18951, 61155, 66643, 120049, 0};
static int joe_kuo_d6_initial_number13700[] = {1, 3, 7, 5, 25, 59, 111, 197, 459, 217, 1819, 1603, 5581, 11361, 17721, 57475, 11171, 186577, 0};
static int joe_kuo_d6_initial_number13701[] = {1, 3, 3, 1, 25, 19, 29, 157, 25, 595, 501, 2145, 7513, 10323, 11107, 13269, 21763, 9427, 0};
static int joe_kuo_d6_initial_number13702[] = {1, 3, 7, 3, 9, 49, 119, 117, 445, 91, 227, 1203, 6245, 9575, 30653, 65429, 64987, 81249, 0};
static int joe_kuo_d6_initial_number13703[] = {1, 1, 5, 5, 5, 5, 77, 77, 425, 789, 467, 3931, 4815, 11195, 21939, 59513, 78547, 238035, 0};
static int joe_kuo_d6_initial_number13704[] = {1, 3, 1, 11, 11, 29, 115, 37, 423, 997, 1231, 3987, 5057, 14533, 18005, 51513, 71851, 258137, 0};
static int joe_kuo_d6_initial_number13705[] = {1, 3, 1, 1, 27, 31, 7, 223, 23, 59, 1465, 2045, 6677, 15707, 25101, 22269, 46995, 89141, 0};
static int joe_kuo_d6_initial_number13706[] = {1, 1, 1, 5, 21, 7, 115, 133, 407, 373, 1495, 2551, 6947, 3309, 14903, 5683, 67345, 139381, 0};
static int joe_kuo_d6_initial_number13707[] = {1, 1, 5, 3, 13, 31, 5, 221, 187, 9, 165, 2295, 1239, 5665, 14543, 3963, 4931, 8269, 0};
static int joe_kuo_d6_initial_number13708[] = {1, 3, 5, 13, 15, 5, 37, 171, 419, 665, 765, 1619, 1561, 1661, 5873, 25595, 34827, 215599, 0};
static int joe_kuo_d6_initial_number13709[] = {1, 3, 1, 15, 13, 33, 45, 107, 275, 771, 1105, 2895, 187, 5173, 21179, 35047, 50825, 176775, 0};
static int joe_kuo_d6_initial_number13710[] = {1, 3, 7, 5, 17, 5, 59, 195, 441, 625, 1205, 207, 4703, 10627, 17123, 61785, 100779, 258597, 0};
static int joe_kuo_d6_initial_number13711[] = {1, 1, 1, 13, 17, 3, 13, 201, 241, 657, 153, 289, 5213, 2129, 13447, 28807, 25405, 33803, 0};
static int joe_kuo_d6_initial_number13712[] = {1, 3, 1, 9, 19, 9, 51, 133, 159, 743, 1023, 291, 7137, 6949, 30419, 13449, 111505, 212393, 0};
static int joe_kuo_d6_initial_number13713[] = {1, 3, 5, 7, 31, 29, 79, 211, 425, 93, 1173, 1957, 6737, 1725, 30703, 43237, 119747, 157395, 0};
static int joe_kuo_d6_initial_number13714[] = {1, 1, 7, 3, 17, 21, 39, 19, 485, 663, 19, 761, 1525, 11059, 12833, 17567, 61123, 124801, 0};
static int joe_kuo_d6_initial_number13715[] = {1, 1, 7, 3, 7, 25, 17, 199, 413, 821, 1561, 3855, 1871, 14041, 7525, 19383, 51017, 213357, 0};
static int joe_kuo_d6_initial_number13716[] = {1, 3, 3, 9, 25, 11, 63, 83, 217, 587, 47, 3775, 767, 9191, 5127, 9133, 97689, 122949, 0};
static int joe_kuo_d6_initial_number13717[] = {1, 1, 1, 9, 19, 7, 89, 125, 23, 813, 1277, 2965, 1939, 1453, 6349, 53127, 109813, 63767, 0};
static int joe_kuo_d6_initial_number13718[] = {1, 1, 5, 15, 29, 63, 117, 37, 185, 69, 1823, 2791, 4125, 11757, 14847, 15567, 126141, 185951, 0};
static int joe_kuo_d6_initial_number13719[] = {1, 3, 7, 1, 23, 11, 15, 113, 209, 785, 229, 3207, 97, 2489, 4587, 14253, 30421, 51027, 0};
static int joe_kuo_d6_initial_number13720[] = {1, 3, 1, 7, 7, 33, 57, 51, 219, 233, 89, 3781, 2055, 4163, 10935, 51913, 63507, 18645, 0};
static int joe_kuo_d6_initial_number13721[] = {1, 3, 1, 7, 7, 55, 107, 187, 109, 867, 955, 139, 4979, 8627, 5835, 28761, 72061, 99413, 0};
static int joe_kuo_d6_initial_number13722[] = {1, 1, 1, 3, 5, 59, 17, 121, 511, 29, 1009, 2875, 2459, 1817, 11741, 13869, 72543, 70485, 0};
static int joe_kuo_d6_initial_number13723[] = {1, 1, 5, 1, 27, 19, 125, 65, 379, 803, 411, 2403, 719, 10683, 23351, 18113, 66773, 252223, 0};
static int joe_kuo_d6_initial_number13724[] = {1, 1, 7, 9, 31, 51, 65, 233, 171, 357, 1465, 1609, 4263, 15207, 18825, 48831, 69459, 211321, 0};
static int joe_kuo_d6_initial_number13725[] = {1, 1, 3, 3, 5, 35, 53, 245, 469, 1011, 759, 455, 4487, 9835, 10349, 61755, 73279, 186049, 0};
static int joe_kuo_d6_initial_number13726[] = {1, 1, 7, 3, 27, 19, 105, 193, 403, 907, 295, 1445, 1867, 8867, 7821, 45309, 129069, 83953, 0};
static int joe_kuo_d6_initial_number13727[] = {1, 1, 7, 7, 7, 51, 85, 97, 473, 837, 201, 501, 2929, 9457, 6473, 3653, 126991, 218069, 0};
static int joe_kuo_d6_initial_number13728[] = {1, 3, 3, 5, 25, 49, 85, 223, 127, 563, 239, 1975, 119, 6029, 19349, 59533, 44173, 142229, 0};
static int joe_kuo_d6_initial_number13729[] = {1, 1, 3, 7, 23, 11, 27, 49, 467, 701, 2037, 2367, 5829, 12533, 9641, 38629, 90505, 132013, 0};
static int joe_kuo_d6_initial_number13730[] = {1, 1, 7, 1, 13, 25, 79, 107, 37, 331, 355, 3639, 4875, 6635, 21703, 18289, 36257, 201857, 0};
static int joe_kuo_d6_initial_number13731[] = {1, 1, 5, 1, 3, 39, 25, 101, 199, 401, 1495, 3683, 5447, 12313, 19707, 20853, 66821, 73959, 0};
static int joe_kuo_d6_initial_number13732[] = {1, 1, 1, 9, 15, 9, 3, 231, 479, 97, 221, 973, 839, 1757, 8759, 45625, 44691, 139803, 0};
static int joe_kuo_d6_initial_number13733[] = {1, 1, 7, 15, 9, 51, 23, 233, 311, 83, 287, 4035, 2087, 4245, 25457, 43105, 104903, 132811, 0};
static int joe_kuo_d6_initial_number13734[] = {1, 1, 1, 9, 5, 13, 33, 167, 363, 67, 601, 2143, 5495, 1277, 14615, 32759, 34935, 158625, 0};
static int joe_kuo_d6_initial_number13735[] = {1, 1, 5, 11, 5, 63, 35, 49, 183, 705, 377, 2607, 2947, 10119, 15631, 60247, 99309, 25747, 0};
static int joe_kuo_d6_initial_number13736[] = {1, 3, 7, 5, 7, 3, 127, 109, 165, 767, 1873, 3825, 441, 11957, 2581, 38309, 129623, 77451, 0};
static int joe_kuo_d6_initial_number13737[] = {1, 3, 1, 7, 19, 53, 101, 117, 505, 363, 1399, 1015, 631, 8309, 17507, 28941, 42585, 116283, 0};
static int joe_kuo_d6_initial_number13738[] = {1, 1, 7, 7, 9, 27, 127, 195, 499, 225, 153, 517, 3909, 9801, 3787, 32829, 6599, 190807, 0};
static int joe_kuo_d6_initial_number13739[] = {1, 1, 5, 1, 3, 49, 125, 235, 255, 329, 909, 1685, 759, 2287, 3479, 23491, 71157, 81457, 0};
static int joe_kuo_d6_initial_number13740[] = {1, 1, 3, 9, 19, 21, 93, 37, 259, 69, 219, 1943, 4747, 13951, 14945, 46099, 87189, 222287, 0};
static int joe_kuo_d6_initial_number13741[] = {1, 1, 7, 5, 21, 33, 61, 227, 167, 569, 1355, 2997, 4917, 10765, 7015, 54335, 125543, 112867, 0};
static int joe_kuo_d6_initial_number13742[] = {1, 1, 5, 3, 25, 35, 97, 23, 365, 159, 1211, 1283, 979, 8993, 21323, 6863, 46869, 36169, 0};
static int joe_kuo_d6_initial_number13743[] = {1, 1, 7, 13, 15, 49, 45, 209, 397, 785, 47, 2307, 4749, 2735, 29525, 54921, 23321, 216197, 0};
static int joe_kuo_d6_initial_number13744[] = {1, 1, 1, 11, 31, 23, 27, 127, 197, 595, 29, 773, 3291, 6355, 11891, 6635, 99871, 177531, 0};
static int joe_kuo_d6_initial_number13745[] = {1, 1, 7, 11, 9, 49, 85, 59, 211, 307, 1821, 3947, 4175, 11287, 27889, 107, 46463, 237129, 0};
static int joe_kuo_d6_initial_number13746[] = {1, 3, 3, 7, 31, 31, 9, 49, 365, 189, 1211, 943, 337, 13809, 16941, 17053, 70125, 149865, 0};
static int joe_kuo_d6_initial_number13747[] = {1, 3, 1, 13, 9, 21, 67, 1, 365, 77, 1701, 559, 3461, 8961, 13801, 16111, 65239, 157713, 0};
static int joe_kuo_d6_initial_number13748[] = {1, 3, 7, 13, 19, 49, 29, 233, 361, 1011, 1617, 2989, 2387, 14027, 4021, 28791, 33155, 171449, 0};
static int joe_kuo_d6_initial_number13749[] = {1, 1, 5, 13, 31, 19, 77, 69, 49, 513, 1411, 77, 4993, 907, 23483, 20129, 29491, 138187, 0};
static int joe_kuo_d6_initial_number13750[] = {1, 3, 3, 11, 23, 33, 19, 55, 307, 455, 1783, 3997, 6411, 3355, 8815, 39883, 124381, 49667, 0};
static int joe_kuo_d6_initial_number13751[] = {1, 3, 3, 15, 27, 7, 25, 243, 275, 27, 23, 3039, 6497, 15975, 5877, 58611, 6317, 209119, 0};
static int joe_kuo_d6_initial_number13752[] = {1, 3, 1, 5, 7, 21, 97, 247, 297, 181, 773, 3095, 2441, 15683, 29609, 50431, 92813, 723, 0};
static int joe_kuo_d6_initial_number13753[] = {1, 1, 1, 3, 17, 25, 69, 171, 27, 83, 173, 163, 7915, 13547, 5915, 20275, 101613, 225081, 0};
static int joe_kuo_d6_initial_number13754[] = {1, 1, 7, 15, 19, 13, 53, 95, 171, 889, 131, 1979, 2537, 7749, 77, 49293, 68875, 159125, 0};
static int joe_kuo_d6_initial_number13755[] = {1, 1, 1, 5, 11, 7, 7, 29, 397, 435, 1495, 2263, 3677, 11121, 1269, 5415, 44427, 249943, 0};
static int joe_kuo_d6_initial_number13756[] = {1, 3, 1, 5, 23, 21, 13, 185, 231, 757, 1647, 663, 1273, 11641, 25563, 46793, 54231, 113143, 0};
static int joe_kuo_d6_initial_number13757[] = {1, 3, 3, 7, 11, 21, 83, 109, 409, 923, 1541, 2805, 1781, 6903, 9093, 37327, 60923, 167271, 0};
static int joe_kuo_d6_initial_number13758[] = {1, 3, 7, 5, 29, 37, 87, 85, 93, 749, 875, 2869, 1023, 13303, 26865, 30971, 40863, 237075, 0};
static int joe_kuo_d6_initial_number13759[] = {1, 1, 7, 13, 21, 25, 39, 213, 303, 265, 1251, 2963, 3819, 8507, 23239, 52625, 123375, 58553, 0};
static int joe_kuo_d6_initial_number13760[] = {1, 1, 1, 1, 3, 1, 7, 67, 339, 583, 3, 2489, 5481, 12241, 21695, 31351, 39389, 131925, 0};
static int joe_kuo_d6_initial_number13761[] = {1, 1, 5, 11, 11, 3, 95, 23, 133, 415, 77, 1891, 4083, 7097, 26455, 28689, 83047, 49759, 0};
static int joe_kuo_d6_initial_number13762[] = {1, 3, 7, 15, 19, 31, 65, 189, 489, 461, 1255, 1897, 3361, 12223, 9721, 45937, 102695, 113431, 0};
static int joe_kuo_d6_initial_number13763[] = {1, 3, 1, 5, 9, 57, 3, 225, 241, 769, 1003, 2255, 7655, 4837, 25267, 35845, 49545, 24931, 0};
static int joe_kuo_d6_initial_number13764[] = {1, 1, 1, 1, 1, 43, 3, 217, 397, 419, 1189, 2037, 5941, 4341, 19851, 13773, 15225, 167581, 0};
static int joe_kuo_d6_initial_number13765[] = {1, 1, 1, 9, 3, 27, 65, 49, 115, 787, 1637, 1867, 7265, 8541, 1587, 58987, 82161, 19997, 0};
static int joe_kuo_d6_initial_number13766[] = {1, 3, 7, 11, 17, 17, 93, 103, 309, 159, 781, 3179, 5759, 7661, 5693, 48531, 127375, 141449, 0};
static int joe_kuo_d6_initial_number13767[] = {1, 3, 7, 5, 13, 39, 79, 241, 7, 137, 219, 523, 541, 4787, 23327, 41665, 111017, 118901, 0};
static int joe_kuo_d6_initial_number13768[] = {1, 1, 3, 15, 31, 23, 107, 221, 295, 935, 1165, 2463, 1635, 10205, 18057, 28217, 51755, 85579, 0};
static int joe_kuo_d6_initial_number13769[] = {1, 3, 1, 11, 23, 47, 7, 59, 75, 603, 1237, 2601, 6873, 12735, 32181, 46849, 106363, 171753, 0};
static int joe_kuo_d6_initial_number13770[] = {1, 1, 7, 13, 15, 31, 3, 113, 355, 955, 919, 1807, 7903, 5485, 1733, 64759, 15817, 93829, 0};
static int joe_kuo_d6_initial_number13771[] = {1, 1, 3, 15, 11, 33, 95, 67, 511, 971, 343, 41, 2849, 10695, 24487, 8971, 129279, 197635, 0};
static int joe_kuo_d6_initial_number13772[] = {1, 3, 1, 13, 13, 47, 77, 127, 193, 191, 1185, 3321, 1685, 1421, 28675, 12593, 86689, 186763, 0};
static int joe_kuo_d6_initial_number13773[] = {1, 3, 7, 13, 1, 11, 123, 91, 287, 751, 11, 2753, 7153, 5253, 21817, 10459, 122225, 105775, 0};
static int joe_kuo_d6_initial_number13774[] = {1, 3, 3, 13, 1, 17, 121, 13, 391, 253, 1323, 1515, 2067, 8009, 5173, 59543, 109511, 156821, 0};
static int joe_kuo_d6_initial_number13775[] = {1, 1, 5, 3, 7, 1, 119, 151, 281, 859, 675, 2923, 6627, 16071, 24653, 41325, 118413, 191981, 0};
static int joe_kuo_d6_initial_number13776[] = {1, 3, 5, 3, 31, 17, 57, 255, 473, 455, 203, 173, 345, 1477, 27939, 39289, 105081, 136179, 0};
static int joe_kuo_d6_initial_number13777[] = {1, 3, 3, 7, 1, 35, 29, 81, 337, 483, 951, 955, 4343, 14827, 17427, 59919, 81883, 114289, 0};
static int joe_kuo_d6_initial_number13778[] = {1, 3, 5, 11, 3, 39, 49, 177, 335, 57, 173, 1827, 5729, 2689, 12109, 13247, 117559, 31735, 0};
static int joe_kuo_d6_initial_number13779[] = {1, 3, 1, 3, 9, 9, 41, 97, 37, 897, 545, 2289, 7917, 5701, 21953, 1863, 33727, 28451, 0};
static int joe_kuo_d6_initial_number13780[] = {1, 1, 5, 3, 29, 61, 59, 129, 387, 965, 285, 3503, 1651, 10423, 24861, 31853, 38491, 155187, 0};
static int joe_kuo_d6_initial_number13781[] = {1, 3, 1, 13, 23, 33, 13, 161, 133, 29, 1073, 1491, 3687, 6821, 24153, 3675, 33771, 230087, 0};
static int joe_kuo_d6_initial_number13782[] = {1, 1, 7, 7, 29, 23, 23, 55, 189, 203, 641, 3391, 1217, 3199, 32531, 43103, 24007, 85613, 0};
static int joe_kuo_d6_initial_number13783[] = {1, 1, 1, 11, 7, 57, 117, 245, 467, 861, 1265, 2827, 2761, 2817, 15679, 53223, 47245, 139871, 0};
static int joe_kuo_d6_initial_number13784[] = {1, 1, 3, 15, 25, 1, 125, 237, 489, 1003, 515, 1117, 4427, 4877, 8685, 46211, 19889, 82491, 0};
static int joe_kuo_d6_initial_number13785[] = {1, 1, 3, 3, 25, 3, 63, 217, 485, 699, 161, 1459, 2973, 15949, 30681, 30991, 13933, 86505, 0};
static int joe_kuo_d6_initial_number13786[] = {1, 1, 7, 9, 27, 57, 23, 217, 401, 613, 277, 2827, 7111, 2133, 17489, 62059, 7273, 170917, 0};
static int joe_kuo_d6_initial_number13787[] = {1, 1, 3, 13, 7, 19, 39, 63, 203, 1001, 279, 879, 4293, 10121, 969, 11571, 96427, 218969, 0};
static int joe_kuo_d6_initial_number13788[] = {1, 3, 7, 7, 5, 21, 113, 203, 77, 971, 1351, 1097, 2581, 7519, 16049, 10565, 5055, 241561, 0};
static int joe_kuo_d6_initial_number13789[] = {1, 3, 3, 11, 1, 21, 93, 111, 221, 31, 1245, 1499, 2289, 2299, 23457, 49221, 68879, 125029, 0};
static int joe_kuo_d6_initial_number13790[] = {1, 1, 7, 3, 15, 19, 57, 189, 243, 785, 399, 3147, 6107, 2327, 6275, 9993, 53051, 34053, 0};
static int joe_kuo_d6_initial_number13791[] = {1, 3, 7, 15, 5, 63, 7, 193, 115, 579, 1987, 765, 7871, 14179, 26383, 61455, 14241, 123515, 0};
static int joe_kuo_d6_initial_number13792[] = {1, 3, 7, 13, 19, 13, 91, 225, 295, 675, 1995, 1145, 4929, 5163, 1101, 60681, 76777, 146875, 0};
static int joe_kuo_d6_initial_number13793[] = {1, 3, 7, 15, 21, 37, 57, 89, 297, 143, 717, 4021, 3259, 8869, 21189, 39333, 125045, 94469, 0};
static int joe_kuo_d6_initial_number13794[] = {1, 1, 5, 9, 27, 35, 69, 121, 433, 39, 889, 915, 4055, 11479, 24757, 53455, 17503, 113295, 0};
static int joe_kuo_d6_initial_number13795[] = {1, 1, 3, 3, 23, 19, 81, 191, 33, 865, 59, 603, 2819, 4919, 22495, 25089, 73905, 44971, 0};
static int joe_kuo_d6_initial_number13796[] = {1, 3, 3, 11, 19, 45, 125, 229, 143, 167, 867, 671, 2225, 16099, 14909, 14937, 78063, 135143, 0};
static int joe_kuo_d6_initial_number13797[] = {1, 1, 7, 11, 21, 55, 73, 247, 211, 895, 1147, 17, 2119, 3261, 19815, 28055, 50139, 178459, 0};
static int joe_kuo_d6_initial_number13798[] = {1, 1, 3, 1, 19, 3, 37, 221, 243, 459, 1539, 3899, 4597, 5503, 23015, 57019, 62637, 177821, 0};
static int joe_kuo_d6_initial_number13799[] = {1, 3, 1, 3, 9, 5, 91, 3, 319, 609, 1241, 3953, 5569, 8757, 6453, 8083, 55285, 38297, 0};
static int joe_kuo_d6_initial_number13800[] = {1, 3, 5, 15, 9, 51, 37, 53, 137, 95, 123, 157, 15, 7421, 22469, 49787, 96245, 199309, 0};
static int joe_kuo_d6_initial_number13801[] = {1, 3, 1, 1, 29, 61, 85, 211, 437, 1013, 1251, 61, 157, 4325, 24247, 1065, 24875, 31509, 0};
static int joe_kuo_d6_initial_number13802[] = {1, 3, 1, 13, 7, 43, 13, 171, 53, 567, 77, 3781, 5077, 6691, 32485, 24253, 83919, 159371, 0};
static int joe_kuo_d6_initial_number13803[] = {1, 1, 1, 13, 15, 15, 19, 53, 325, 309, 53, 1857, 7361, 8831, 31751, 44749, 109265, 227875, 0};
static int joe_kuo_d6_initial_number13804[] = {1, 3, 7, 3, 31, 19, 113, 253, 361, 697, 1137, 2029, 3673, 10323, 10455, 24935, 7325, 43673, 0};
static int joe_kuo_d6_initial_number13805[] = {1, 3, 1, 1, 17, 31, 3, 55, 121, 967, 1701, 2171, 4393, 11937, 3987, 5139, 68913, 134233, 0};
static int joe_kuo_d6_initial_number13806[] = {1, 1, 7, 15, 23, 37, 121, 241, 297, 419, 373, 1219, 739, 4567, 28593, 61267, 95711, 201299, 0};
static int joe_kuo_d6_initial_number13807[] = {1, 1, 1, 9, 23, 31, 101, 243, 163, 333, 1707, 2553, 5285, 12827, 5051, 14165, 505, 253585, 0};
static int joe_kuo_d6_initial_number13808[] = {1, 1, 1, 9, 11, 29, 81, 45, 101, 235, 1079, 4091, 1069, 3439, 23599, 6699, 71783, 236943, 0};
static int joe_kuo_d6_initial_number13809[] = {1, 3, 7, 11, 29, 49, 99, 59, 1, 267, 887, 2941, 6717, 7501, 22549, 53393, 34569, 34671, 0};
static int joe_kuo_d6_initial_number13810[] = {1, 3, 1, 15, 23, 13, 113, 47, 11, 79, 989, 1025, 35, 10475, 8079, 33121, 32477, 178595, 0};
static int joe_kuo_d6_initial_number13811[] = {1, 3, 7, 1, 21, 19, 51, 31, 393, 171, 553, 2221, 7017, 8567, 21803, 51803, 83737, 196409, 0};
static int joe_kuo_d6_initial_number13812[] = {1, 1, 3, 3, 1, 27, 117, 207, 37, 733, 2001, 2575, 4849, 5609, 743, 35987, 109993, 227663, 0};
static int joe_kuo_d6_initial_number13813[] = {1, 1, 7, 15, 29, 47, 85, 213, 335, 633, 849, 3269, 7723, 4651, 355, 54565, 58829, 22781, 0};
static int joe_kuo_d6_initial_number13814[] = {1, 3, 7, 5, 5, 3, 91, 243, 17, 85, 1983, 3909, 1839, 10403, 503, 28451, 3221, 215397, 0};
static int joe_kuo_d6_initial_number13815[] = {1, 1, 1, 15, 13, 3, 9, 25, 249, 113, 1619, 2313, 6461, 2323, 14319, 59635, 9569, 220583, 0};
static int joe_kuo_d6_initial_number13816[] = {1, 3, 5, 7, 31, 59, 41, 43, 43, 921, 647, 2141, 7011, 2749, 24711, 19067, 107895, 107145, 0};
static int joe_kuo_d6_initial_number13817[] = {1, 1, 3, 3, 15, 63, 41, 241, 181, 729, 843, 3569, 2645, 2727, 25331, 23067, 115421, 86025, 0};
static int joe_kuo_d6_initial_number13818[] = {1, 3, 1, 15, 11, 47, 9, 183, 341, 775, 1067, 1317, 6835, 7873, 2653, 33517, 103979, 196761, 0};
static int joe_kuo_d6_initial_number13819[] = {1, 1, 3, 13, 29, 11, 105, 9, 49, 823, 1343, 759, 1263, 12413, 26047, 54285, 57319, 215387, 0};
static int joe_kuo_d6_initial_number13820[] = {1, 1, 5, 13, 21, 55, 75, 149, 63, 737, 1305, 929, 4149, 2793, 24505, 11541, 74765, 8207, 0};
static int joe_kuo_d6_initial_number13821[] = {1, 3, 5, 9, 25, 1, 43, 157, 303, 395, 301, 1561, 5963, 3501, 2259, 59777, 100953, 16051, 0};
static int joe_kuo_d6_initial_number13822[] = {1, 3, 1, 13, 19, 25, 33, 209, 11, 95, 655, 595, 3081, 10345, 26615, 45129, 84023, 158079, 0};
static int joe_kuo_d6_initial_number13823[] = {1, 3, 1, 9, 31, 61, 103, 203, 471, 215, 1103, 759, 1197, 3333, 15859, 36103, 31563, 5987, 0};
static int joe_kuo_d6_initial_number13824[] = {1, 1, 1, 7, 1, 49, 121, 227, 153, 793, 1723, 1033, 6875, 6683, 2503, 57213, 97967, 120383, 0};
static int joe_kuo_d6_initial_number13825[] = {1, 3, 7, 11, 3, 15, 35, 181, 19, 249, 755, 1385, 3297, 4665, 2761, 22717, 126199, 85065, 0};
static int joe_kuo_d6_initial_number13826[] = {1, 3, 7, 15, 5, 45, 17, 55, 111, 597, 553, 1203, 7183, 8465, 28523, 50073, 90889, 187205, 0};
static int joe_kuo_d6_initial_number13827[] = {1, 3, 3, 9, 31, 57, 13, 139, 291, 881, 501, 2051, 617, 5151, 28225, 44777, 31645, 6805, 0};
static int joe_kuo_d6_initial_number13828[] = {1, 3, 5, 13, 1, 23, 107, 1, 201, 35, 1673, 2281, 7663, 1115, 25061, 59615, 127955, 169685, 0};
static int joe_kuo_d6_initial_number13829[] = {1, 1, 3, 15, 15, 5, 17, 75, 307, 591, 1661, 855, 4239, 13359, 20027, 51871, 35241, 32769, 0};
static int joe_kuo_d6_initial_number13830[] = {1, 1, 1, 15, 5, 23, 59, 205, 223, 103, 1889, 141, 6157, 9187, 23571, 15267, 1941, 119173, 0};
static int joe_kuo_d6_initial_number13831[] = {1, 3, 5, 9, 27, 63, 59, 11, 279, 493, 209, 4087, 1055, 9841, 31753, 37459, 27757, 213151, 0};
static int joe_kuo_d6_initial_number13832[] = {1, 1, 3, 11, 31, 33, 13, 87, 285, 847, 2005, 3431, 253, 15157, 31359, 45303, 114337, 42541, 0};
static int joe_kuo_d6_initial_number13833[] = {1, 1, 1, 7, 7, 3, 17, 203, 133, 321, 241, 1323, 5639, 10953, 10069, 4941, 17077, 54493, 0};
static int joe_kuo_d6_initial_number13834[] = {1, 1, 7, 1, 9, 5, 125, 5, 421, 609, 645, 1927, 3785, 2295, 1491, 23019, 85497, 161231, 0};
static int joe_kuo_d6_initial_number13835[] = {1, 3, 3, 11, 19, 35, 115, 95, 353, 773, 2025, 2621, 2821, 6361, 29589, 20989, 99645, 90387, 0};
static int joe_kuo_d6_initial_number13836[] = {1, 3, 1, 15, 23, 3, 71, 253, 467, 307, 1109, 2695, 7175, 15087, 1587, 48229, 104307, 218905, 0};
static int joe_kuo_d6_initial_number13837[] = {1, 3, 3, 5, 17, 29, 107, 153, 371, 205, 7, 597, 7393, 2345, 20149, 47417, 37983, 200683, 0};
static int joe_kuo_d6_initial_number13838[] = {1, 1, 7, 1, 3, 55, 113, 117, 241, 923, 1217, 3825, 2635, 8007, 12673, 9533, 7121, 3825, 0};
static int joe_kuo_d6_initial_number13839[] = {1, 1, 1, 3, 21, 63, 25, 111, 31, 151, 67, 3735, 7833, 749, 28743, 59291, 4989, 93329, 0};
static int joe_kuo_d6_initial_number13840[] = {1, 3, 5, 13, 31, 5, 91, 153, 235, 1019, 431, 1951, 7501, 8483, 19625, 57789, 13203, 36693, 0};
static int joe_kuo_d6_initial_number13841[] = {1, 1, 7, 3, 15, 51, 99, 29, 403, 343, 1903, 907, 3255, 4149, 29551, 18885, 74391, 96119, 0};
static int joe_kuo_d6_initial_number13842[] = {1, 1, 7, 11, 31, 11, 63, 213, 437, 879, 359, 555, 7549, 14269, 31489, 51001, 76857, 237305, 0};
static int joe_kuo_d6_initial_number13843[] = {1, 1, 1, 15, 23, 21, 31, 227, 311, 273, 253, 2439, 7217, 2191, 31743, 47669, 62279, 201305, 0};
static int joe_kuo_d6_initial_number13844[] = {1, 3, 5, 11, 3, 43, 97, 121, 363, 91, 201, 1095, 5267, 633, 19111, 36099, 23035, 205655, 0};
static int joe_kuo_d6_initial_number13845[] = {1, 3, 1, 9, 21, 31, 39, 11, 227, 699, 473, 2109, 2757, 13821, 31181, 40493, 57279, 260085, 0};
static int joe_kuo_d6_initial_number13846[] = {1, 1, 5, 7, 27, 57, 65, 11, 173, 709, 1139, 3735, 5291, 16053, 32579, 25275, 79865, 196033, 0};
static int joe_kuo_d6_initial_number13847[] = {1, 1, 1, 9, 19, 35, 83, 153, 287, 207, 593, 2177, 3243, 10433, 24583, 881, 71865, 250223, 0};
static int joe_kuo_d6_initial_number13848[] = {1, 3, 3, 9, 3, 35, 107, 3, 193, 1011, 463, 1643, 2733, 2157, 6329, 24583, 116901, 226385, 0};
static int joe_kuo_d6_initial_number13849[] = {1, 3, 1, 11, 3, 47, 39, 33, 495, 137, 1591, 1335, 1347, 4527, 389, 43341, 80163, 5219, 0};
static int joe_kuo_d6_initial_number13850[] = {1, 3, 3, 5, 19, 51, 121, 135, 93, 891, 13, 1339, 5187, 5005, 12823, 14465, 73845, 119685, 0};
static int joe_kuo_d6_initial_number13851[] = {1, 3, 7, 7, 19, 1, 57, 193, 325, 49, 813, 5, 4431, 1119, 13625, 43613, 127989, 42669, 0};
static int joe_kuo_d6_initial_number13852[] = {1, 3, 5, 15, 11, 33, 7, 45, 215, 469, 1059, 4095, 3549, 11839, 5463, 21383, 4831, 188345, 0};
static int joe_kuo_d6_initial_number13853[] = {1, 1, 1, 13, 5, 61, 7, 161, 99, 623, 1589, 1045, 2385, 8899, 19327, 41373, 109241, 111895, 0};
static int joe_kuo_d6_initial_number13854[] = {1, 1, 5, 7, 11, 39, 115, 41, 21, 491, 1221, 2805, 4311, 7137, 3151, 1387, 24633, 94679, 0};
static int joe_kuo_d6_initial_number13855[] = {1, 1, 3, 7, 3, 39, 71, 175, 443, 187, 1727, 2535, 5099, 1881, 21639, 5717, 48589, 95037, 0};
static int joe_kuo_d6_initial_number13856[] = {1, 1, 1, 11, 25, 21, 37, 227, 407, 73, 721, 3515, 381, 981, 21389, 5205, 31851, 140457, 0};
static int joe_kuo_d6_initial_number13857[] = {1, 3, 3, 3, 27, 35, 13, 129, 457, 315, 253, 2545, 5469, 6695, 25223, 20115, 38039, 133655, 0};
static int joe_kuo_d6_initial_number13858[] = {1, 1, 3, 11, 21, 47, 77, 231, 87, 245, 2039, 2515, 2873, 1711, 3361, 62123, 67117, 239047, 0};
static int joe_kuo_d6_initial_number13859[] = {1, 1, 7, 7, 29, 21, 39, 175, 477, 813, 447, 1109, 7391, 14631, 4437, 42539, 13003, 75403, 0};
static int joe_kuo_d6_initial_number13860[] = {1, 3, 1, 11, 11, 9, 119, 19, 99, 483, 61, 1883, 3415, 2137, 30415, 34519, 115191, 24437, 0};
static int joe_kuo_d6_initial_number13861[] = {1, 1, 1, 9, 7, 47, 115, 233, 419, 427, 1605, 3821, 6243, 10861, 28495, 48265, 80811, 147701, 0};
static int joe_kuo_d6_initial_number13862[] = {1, 3, 5, 5, 11, 61, 51, 155, 279, 463, 31, 1559, 2837, 8795, 4049, 13651, 109227, 52131, 0};
static int joe_kuo_d6_initial_number13863[] = {1, 1, 7, 9, 25, 33, 97, 79, 477, 83, 923, 3293, 6381, 3063, 23293, 35381, 82867, 233189, 0};
static int joe_kuo_d6_initial_number13864[] = {1, 1, 1, 9, 11, 39, 109, 189, 219, 1021, 137, 2041, 2719, 1763, 31787, 29377, 96287, 179685, 0};
static int joe_kuo_d6_initial_number13865[] = {1, 3, 7, 5, 3, 15, 37, 179, 77, 751, 709, 893, 7705, 1563, 7843, 29843, 1107, 35919, 0};
static int joe_kuo_d6_initial_number13866[] = {1, 3, 3, 3, 29, 17, 123, 201, 275, 487, 1979, 1361, 7523, 13783, 10129, 16877, 127049, 163221, 0};
static int joe_kuo_d6_initial_number13867[] = {1, 1, 1, 9, 27, 35, 69, 167, 509, 133, 1073, 3773, 265, 8455, 12341, 127, 115075, 94537, 0};
static int joe_kuo_d6_initial_number13868[] = {1, 3, 7, 9, 13, 35, 57, 83, 123, 211, 739, 253, 3907, 5405, 3229, 46837, 77483, 5915, 0};
static int joe_kuo_d6_initial_number13869[] = {1, 1, 7, 3, 7, 27, 71, 235, 133, 803, 611, 529, 4449, 16113, 8151, 36519, 34561, 36361, 0};
static int joe_kuo_d6_initial_number13870[] = {1, 1, 3, 1, 31, 9, 123, 85, 407, 415, 353, 3239, 673, 4641, 25883, 61117, 7669, 240851, 0};
static int joe_kuo_d6_initial_number13871[] = {1, 1, 5, 11, 29, 9, 49, 31, 3, 249, 1769, 3325, 503, 1397, 30677, 22515, 81279, 90309, 0};
static int joe_kuo_d6_initial_number13872[] = {1, 3, 5, 3, 15, 63, 121, 253, 421, 279, 497, 3881, 6977, 11061, 5883, 38347, 8351, 118123, 0};
static int joe_kuo_d6_initial_number13873[] = {1, 1, 1, 13, 1, 27, 3, 91, 281, 563, 1283, 1893, 7593, 12171, 27041, 7769, 95691, 13791, 0};
static int joe_kuo_d6_initial_number13874[] = {1, 1, 3, 3, 29, 59, 87, 153, 337, 819, 787, 2631, 1889, 13869, 29237, 57097, 91621, 4011, 0};
static int joe_kuo_d6_initial_number13875[] = {1, 1, 1, 15, 7, 49, 1, 83, 299, 353, 131, 1635, 3723, 16209, 1061, 50669, 68083, 133443, 0};
static int joe_kuo_d6_initial_number13876[] = {1, 3, 5, 5, 27, 17, 5, 239, 285, 831, 1487, 721, 4891, 4265, 23753, 43921, 116709, 105027, 0};
static int joe_kuo_d6_initial_number13877[] = {1, 1, 7, 7, 5, 35, 63, 97, 215, 447, 353, 495, 8119, 12537, 9679, 58641, 65057, 21999, 0};
static int joe_kuo_d6_initial_number13878[] = {1, 3, 7, 5, 23, 43, 69, 115, 59, 603, 493, 1665, 5003, 13607, 28491, 4439, 11855, 228183, 0};
static int joe_kuo_d6_initial_number13879[] = {1, 3, 3, 3, 15, 35, 19, 63, 241, 357, 979, 2891, 3105, 14085, 10539, 62335, 130903, 163153, 0};
static int joe_kuo_d6_initial_number13880[] = {1, 3, 5, 3, 23, 51, 23, 193, 129, 171, 1913, 1025, 6397, 15657, 19611, 57455, 87531, 51039, 0};
static int joe_kuo_d6_initial_number13881[] = {1, 1, 3, 9, 1, 9, 7, 239, 87, 527, 1401, 2703, 4021, 3845, 29269, 48217, 61091, 131949, 0};
static int joe_kuo_d6_initial_number13882[] = {1, 3, 1, 5, 17, 45, 59, 223, 287, 295, 1959, 3985, 3671, 14605, 18949, 34147, 51251, 10271, 0};
static int joe_kuo_d6_initial_number13883[] = {1, 3, 5, 9, 5, 49, 63, 105, 43, 157, 1827, 495, 5823, 6323, 6601, 51379, 64411, 204103, 0};
static int joe_kuo_d6_initial_number13884[] = {1, 1, 7, 1, 11, 31, 117, 9, 13, 965, 177, 1247, 2487, 9849, 20367, 49287, 2193, 235689, 0};
static int joe_kuo_d6_initial_number13885[] = {1, 1, 3, 11, 19, 31, 23, 215, 489, 657, 801, 3937, 379, 12083, 14969, 37857, 39027, 63985, 0};
static int joe_kuo_d6_initial_number13886[] = {1, 1, 5, 1, 9, 59, 53, 187, 341, 65, 1251, 767, 4897, 13263, 17439, 26625, 122107, 163653, 0};
static int joe_kuo_d6_initial_number13887[] = {1, 1, 3, 13, 31, 41, 125, 253, 481, 107, 233, 2305, 3321, 7303, 28585, 12787, 83307, 31497, 0};
static int joe_kuo_d6_initial_number13888[] = {1, 1, 3, 13, 25, 41, 55, 83, 101, 115, 549, 531, 3085, 9497, 27989, 28257, 121075, 189671, 0};
static int joe_kuo_d6_initial_number13889[] = {1, 3, 5, 11, 13, 53, 121, 85, 355, 275, 1925, 2117, 1349, 5903, 2041, 20963, 60803, 1121, 0};
static int joe_kuo_d6_initial_number13890[] = {1, 1, 5, 5, 13, 7, 125, 63, 311, 187, 1127, 643, 6137, 845, 23945, 9403, 451, 53027, 0};
static int joe_kuo_d6_initial_number13891[] = {1, 1, 3, 7, 19, 31, 27, 239, 337, 61, 641, 1693, 7289, 5675, 30067, 41091, 124607, 36971, 0};
static int joe_kuo_d6_initial_number13892[] = {1, 3, 1, 13, 25, 61, 11, 81, 165, 129, 241, 711, 5193, 13017, 30821, 35239, 110809, 60909, 0};
static int joe_kuo_d6_initial_number13893[] = {1, 3, 3, 13, 15, 13, 71, 19, 87, 499, 1395, 1191, 1445, 2687, 4691, 16773, 114269, 186237, 0};
static int joe_kuo_d6_initial_number13894[] = {1, 3, 3, 15, 1, 49, 33, 109, 241, 5, 431, 461, 3865, 14029, 9827, 54455, 52159, 211585, 0};
static int joe_kuo_d6_initial_number13895[] = {1, 3, 5, 7, 31, 27, 115, 113, 367, 591, 873, 1447, 6819, 7011, 14095, 55243, 4039, 226985, 0};
static int joe_kuo_d6_initial_number13896[] = {1, 1, 7, 3, 1, 19, 69, 239, 417, 833, 1867, 3111, 2617, 12781, 5531, 17345, 75717, 139667, 0};
static int joe_kuo_d6_initial_number13897[] = {1, 1, 5, 11, 11, 63, 23, 141, 221, 897, 1269, 2185, 6057, 8865, 20449, 58255, 27073, 158305, 0};
static int joe_kuo_d6_initial_number13898[] = {1, 3, 3, 5, 23, 23, 121, 39, 457, 935, 691, 2329, 7055, 2821, 12669, 28713, 82321, 245783, 0};
static int joe_kuo_d6_initial_number13899[] = {1, 1, 1, 9, 27, 9, 35, 23, 139, 823, 703, 917, 1281, 12155, 11681, 26083, 119445, 181489, 0};
static int joe_kuo_d6_initial_number13900[] = {1, 1, 3, 7, 27, 21, 35, 243, 17, 633, 1665, 3419, 6301, 16099, 17477, 24983, 128455, 127501, 0};
static int joe_kuo_d6_initial_number13901[] = {1, 3, 1, 1, 17, 19, 59, 165, 487, 985, 597, 689, 7103, 14475, 6985, 29755, 115977, 105943, 0};
static int joe_kuo_d6_initial_number13902[] = {1, 1, 5, 5, 23, 41, 67, 175, 3, 571, 1501, 3315, 6111, 1847, 28975, 54117, 66605, 69997, 0};
static int joe_kuo_d6_initial_number13903[] = {1, 3, 5, 5, 13, 37, 113, 75, 383, 297, 1187, 2055, 3433, 14651, 30393, 29647, 126403, 32265, 0};
static int joe_kuo_d6_initial_number13904[] = {1, 1, 3, 5, 31, 29, 25, 169, 465, 219, 81, 2019, 4255, 6003, 7425, 53269, 31105, 211937, 0};
static int joe_kuo_d6_initial_number13905[] = {1, 3, 7, 11, 13, 7, 11, 195, 327, 883, 1295, 3721, 1197, 7585, 5693, 993, 125017, 12007, 0};
static int joe_kuo_d6_initial_number13906[] = {1, 3, 3, 7, 5, 37, 71, 37, 63, 651, 669, 3445, 3959, 249, 10599, 22329, 107701, 107729, 0};
static int joe_kuo_d6_initial_number13907[] = {1, 1, 1, 9, 7, 47, 21, 181, 395, 345, 757, 481, 2759, 8157, 19847, 55743, 63137, 224765, 0};
static int joe_kuo_d6_initial_number13908[] = {1, 3, 5, 9, 29, 3, 61, 35, 271, 157, 549, 843, 2907, 91, 16325, 4241, 94495, 78861, 0};
static int joe_kuo_d6_initial_number13909[] = {1, 3, 1, 9, 17, 11, 53, 243, 49, 911, 1193, 793, 901, 3727, 21849, 33987, 565, 154171, 0};
static int joe_kuo_d6_initial_number13910[] = {1, 1, 5, 1, 9, 5, 89, 81, 65, 111, 781, 3775, 591, 4987, 29833, 58159, 7253, 206447, 0};
static int joe_kuo_d6_initial_number13911[] = {1, 3, 1, 7, 3, 59, 77, 83, 173, 545, 103, 2541, 8095, 10797, 11111, 62351, 88827, 55081, 0};
static int joe_kuo_d6_initial_number13912[] = {1, 1, 3, 11, 29, 37, 19, 47, 145, 19, 513, 3269, 2205, 5317, 19207, 38051, 5413, 78089, 0};
static int joe_kuo_d6_initial_number13913[] = {1, 1, 5, 9, 21, 57, 75, 249, 21, 879, 1377, 3407, 6123, 11917, 12493, 44873, 113539, 114717, 0};
static int joe_kuo_d6_initial_number13914[] = {1, 3, 3, 9, 7, 55, 121, 57, 491, 39, 1561, 2625, 639, 13553, 1159, 43071, 68869, 248837, 0};
static int joe_kuo_d6_initial_number13915[] = {1, 1, 1, 11, 25, 19, 107, 239, 171, 1001, 69, 4095, 49, 9569, 22613, 59865, 54959, 70031, 0};
static int joe_kuo_d6_initial_number13916[] = {1, 1, 3, 13, 27, 15, 105, 205, 205, 581, 1965, 1535, 6531, 15935, 7623, 33695, 9317, 44257, 0};
static int joe_kuo_d6_initial_number13917[] = {1, 1, 1, 3, 3, 51, 115, 185, 315, 763, 211, 339, 7083, 4895, 23277, 14165, 101731, 218903, 0};
static int joe_kuo_d6_initial_number13918[] = {1, 1, 3, 13, 29, 1, 69, 55, 423, 781, 183, 1417, 151, 14507, 5217, 27757, 52447, 145913, 0};
static int joe_kuo_d6_initial_number13919[] = {1, 3, 1, 11, 29, 39, 29, 151, 85, 387, 885, 507, 133, 9819, 12627, 30951, 79839, 206267, 0};
static int joe_kuo_d6_initial_number13920[] = {1, 3, 3, 7, 1, 53, 99, 141, 91, 51, 143, 1751, 3989, 6811, 7339, 52141, 43473, 18615, 0};
static int joe_kuo_d6_initial_number13921[] = {1, 3, 3, 15, 27, 11, 29, 37, 387, 655, 2019, 1135, 3619, 12995, 12755, 26063, 109419, 103875, 0};
static int joe_kuo_d6_initial_number13922[] = {1, 3, 3, 13, 31, 15, 93, 231, 195, 261, 1055, 2363, 1123, 3927, 6907, 365, 27043, 157049, 0};
static int joe_kuo_d6_initial_number13923[] = {1, 1, 1, 15, 7, 29, 105, 199, 507, 437, 117, 2963, 7801, 6291, 19261, 30377, 92205, 20723, 0};
static int joe_kuo_d6_initial_number13924[] = {1, 1, 1, 9, 29, 19, 75, 189, 3, 387, 1491, 2291, 7739, 12993, 11835, 10873, 54583, 207963, 0};
static int joe_kuo_d6_initial_number13925[] = {1, 3, 7, 3, 23, 11, 25, 105, 57, 713, 1291, 3293, 4693, 13859, 27541, 31529, 65929, 245143, 0};
static int joe_kuo_d6_initial_number13926[] = {1, 1, 7, 7, 19, 13, 19, 189, 253, 337, 351, 1751, 6173, 12207, 24483, 31381, 82035, 157143, 0};
static int joe_kuo_d6_initial_number13927[] = {1, 3, 3, 11, 11, 49, 117, 177, 301, 417, 855, 2433, 5619, 7339, 30361, 29251, 20411, 184981, 0};
static int joe_kuo_d6_initial_number13928[] = {1, 1, 1, 1, 11, 55, 77, 99, 209, 781, 1193, 2841, 783, 1485, 19413, 52255, 19529, 253927, 0};
static int joe_kuo_d6_initial_number13929[] = {1, 3, 1, 3, 15, 49, 85, 191, 389, 411, 479, 341, 4985, 6193, 19099, 11497, 103285, 162333, 0};
static int joe_kuo_d6_initial_number13930[] = {1, 3, 1, 3, 11, 31, 71, 91, 357, 615, 2007, 3601, 5393, 8079, 16811, 54127, 26049, 116341, 0};
static int joe_kuo_d6_initial_number13931[] = {1, 1, 3, 15, 9, 39, 121, 53, 43, 617, 905, 3629, 6327, 13453, 1435, 24113, 7523, 228523, 0};
static int joe_kuo_d6_initial_number13932[] = {1, 3, 5, 11, 21, 51, 11, 125, 33, 935, 1069, 2807, 4951, 13261, 17611, 38779, 62203, 135759, 0};
static int joe_kuo_d6_initial_number13933[] = {1, 1, 1, 13, 29, 59, 53, 245, 219, 423, 809, 1109, 7255, 14679, 25247, 43235, 129565, 72649, 0};
static int joe_kuo_d6_initial_number13934[] = {1, 3, 5, 7, 27, 29, 119, 91, 297, 407, 187, 2829, 5637, 13851, 14073, 461, 64081, 33971, 0};
static int joe_kuo_d6_initial_number13935[] = {1, 1, 5, 11, 15, 27, 29, 233, 487, 859, 1021, 3117, 1439, 16021, 31315, 35775, 117363, 131635, 0};
static int joe_kuo_d6_initial_number13936[] = {1, 1, 5, 3, 3, 1, 91, 229, 327, 777, 393, 3853, 3455, 1785, 13749, 25173, 51575, 167237, 0};
static int joe_kuo_d6_initial_number13937[] = {1, 3, 7, 9, 27, 7, 15, 71, 283, 71, 1783, 1357, 5581, 3143, 26075, 47751, 71001, 157107, 0};
static int joe_kuo_d6_initial_number13938[] = {1, 3, 3, 7, 23, 9, 69, 21, 333, 223, 1735, 1057, 8091, 1927, 8507, 40901, 40233, 164115, 0};
static int joe_kuo_d6_initial_number13939[] = {1, 3, 7, 3, 11, 49, 29, 81, 215, 289, 1137, 765, 6385, 5935, 3435, 11991, 30867, 60745, 0};
static int joe_kuo_d6_initial_number13940[] = {1, 1, 1, 1, 7, 39, 33, 173, 225, 533, 1927, 3607, 1059, 8779, 2649, 6801, 103963, 167471, 0};
static int joe_kuo_d6_initial_number13941[] = {1, 3, 3, 15, 27, 51, 107, 3, 195, 87, 739, 1425, 747, 1501, 22245, 59233, 124867, 79753, 0};
static int joe_kuo_d6_initial_number13942[] = {1, 1, 3, 3, 13, 41, 125, 101, 225, 749, 221, 2735, 6441, 11353, 3943, 35329, 53437, 149063, 0};
static int joe_kuo_d6_initial_number13943[] = {1, 3, 3, 15, 3, 53, 75, 77, 1, 907, 573, 1909, 363, 6913, 559, 58489, 1053, 25513, 0};
static int joe_kuo_d6_initial_number13944[] = {1, 1, 7, 11, 7, 15, 91, 155, 447, 555, 473, 3625, 7529, 16307, 32241, 64077, 46943, 85717, 0};
static int joe_kuo_d6_initial_number13945[] = {1, 1, 1, 13, 9, 61, 91, 41, 101, 107, 1081, 2511, 2881, 14095, 3861, 22771, 32687, 77287, 0};
static int joe_kuo_d6_initial_number13946[] = {1, 3, 3, 7, 21, 3, 51, 177, 203, 861, 1507, 1177, 2369, 11735, 1667, 28607, 97671, 123263, 0};
static int joe_kuo_d6_initial_number13947[] = {1, 1, 1, 3, 5, 57, 13, 127, 353, 65, 663, 3849, 3579, 5521, 11765, 63427, 76349, 102517, 0};
static int joe_kuo_d6_initial_number13948[] = {1, 1, 7, 11, 27, 55, 79, 249, 397, 77, 1543, 3787, 4889, 11145, 18691, 62899, 66425, 116195, 0};
static int joe_kuo_d6_initial_number13949[] = {1, 1, 1, 3, 5, 3, 1, 143, 73, 999, 2013, 2001, 4001, 6563, 30811, 61445, 2645, 203631, 0};
static int joe_kuo_d6_initial_number13950[] = {1, 1, 1, 15, 1, 49, 35, 61, 493, 101, 1407, 2211, 7467, 12321, 15901, 15479, 62939, 14643, 0};
static int joe_kuo_d6_initial_number13951[] = {1, 1, 3, 11, 21, 33, 123, 95, 449, 355, 1501, 1627, 1411, 6183, 17457, 2199, 96313, 25023, 0};
static int joe_kuo_d6_initial_number13952[] = {1, 1, 5, 5, 13, 49, 73, 203, 83, 3, 137, 119, 3001, 10685, 18231, 60727, 31785, 158605, 0};
static int joe_kuo_d6_initial_number13953[] = {1, 3, 1, 11, 23, 19, 123, 9, 269, 501, 2005, 3695, 3327, 5353, 12619, 12987, 18213, 29355, 0};
static int joe_kuo_d6_initial_number13954[] = {1, 3, 1, 5, 1, 25, 99, 197, 327, 575, 773, 2009, 6653, 1807, 20381, 55725, 124359, 176893, 0};
static int joe_kuo_d6_initial_number13955[] = {1, 1, 7, 15, 27, 9, 81, 175, 73, 727, 1907, 1237, 4983, 16123, 16479, 2283, 57805, 13593, 0};
static int joe_kuo_d6_initial_number13956[] = {1, 1, 3, 13, 7, 13, 13, 139, 283, 721, 487, 1821, 4257, 5105, 8057, 27193, 46857, 169927, 0};
static int joe_kuo_d6_initial_number13957[] = {1, 1, 5, 5, 29, 5, 81, 211, 441, 685, 981, 3097, 6253, 10673, 12253, 54943, 69401, 147769, 0};
static int joe_kuo_d6_initial_number13958[] = {1, 3, 3, 1, 13, 35, 73, 145, 139, 781, 37, 803, 3607, 4327, 1153, 11325, 131025, 168729, 0};
static int joe_kuo_d6_initial_number13959[] = {1, 3, 1, 13, 17, 41, 19, 59, 23, 561, 315, 719, 3325, 275, 12715, 59843, 16597, 81691, 0};
static int joe_kuo_d6_initial_number13960[] = {1, 3, 1, 11, 1, 53, 11, 237, 363, 345, 331, 129, 6885, 3105, 12487, 53803, 8897, 193777, 0};
static int joe_kuo_d6_initial_number13961[] = {1, 3, 7, 15, 3, 53, 55, 101, 389, 839, 413, 2851, 3989, 12857, 25723, 16595, 94145, 193049, 0};
static int joe_kuo_d6_initial_number13962[] = {1, 3, 1, 7, 15, 31, 3, 115, 197, 753, 1035, 1369, 4925, 4497, 1641, 63743, 127089, 114097, 0};
static int joe_kuo_d6_initial_number13963[] = {1, 3, 5, 5, 23, 1, 35, 99, 277, 769, 895, 581, 6969, 15339, 10309, 27101, 22611, 86179, 0};
static int joe_kuo_d6_initial_number13964[] = {1, 1, 1, 11, 19, 17, 45, 35, 257, 313, 815, 1469, 3651, 15101, 22775, 51729, 75401, 123653, 0};
static int joe_kuo_d6_initial_number13965[] = {1, 3, 1, 15, 5, 11, 83, 141, 373, 935, 1123, 1849, 1267, 15427, 10615, 63303, 109771, 188601, 0};
static int joe_kuo_d6_initial_number13966[] = {1, 3, 5, 3, 29, 23, 79, 193, 261, 29, 1857, 789, 4359, 14211, 22181, 64901, 129089, 65587, 0};
static int joe_kuo_d6_initial_number13967[] = {1, 3, 1, 3, 29, 15, 19, 239, 497, 771, 239, 2853, 2391, 8153, 31899, 53759, 127219, 78833, 0};
static int joe_kuo_d6_initial_number13968[] = {1, 1, 7, 7, 5, 57, 9, 93, 69, 993, 193, 3629, 5761, 9339, 28073, 50035, 81635, 83119, 0};
static int joe_kuo_d6_initial_number13969[] = {1, 1, 5, 13, 7, 35, 79, 247, 43, 1011, 1189, 2881, 1963, 8889, 9929, 50043, 112581, 224139, 0};
static int joe_kuo_d6_initial_number13970[] = {1, 3, 3, 7, 15, 63, 85, 33, 107, 37, 45, 1271, 4735, 1151, 19793, 6589, 50875, 185061, 0};
static int joe_kuo_d6_initial_number13971[] = {1, 3, 1, 15, 1, 63, 1, 201, 207, 179, 67, 3703, 2629, 10517, 1, 39645, 119733, 6449, 0};
static int joe_kuo_d6_initial_number13972[] = {1, 3, 5, 1, 3, 7, 97, 101, 233, 71, 255, 3767, 8127, 8041, 25001, 7601, 129595, 131657, 0};
static int joe_kuo_d6_initial_number13973[] = {1, 1, 7, 1, 25, 29, 105, 25, 267, 191, 267, 3141, 4445, 5043, 25203, 32055, 11035, 229031, 0};
static int joe_kuo_d6_initial_number13974[] = {1, 1, 1, 13, 3, 1, 1, 147, 63, 259, 1171, 401, 6289, 13577, 28129, 1349, 85027, 178123, 0};
static int joe_kuo_d6_initial_number13975[] = {1, 1, 1, 13, 1, 59, 109, 95, 49, 309, 1141, 1355, 3415, 11237, 21619, 12039, 1795, 57775, 0};
static int joe_kuo_d6_initial_number13976[] = {1, 3, 1, 11, 19, 3, 51, 227, 277, 49, 703, 2701, 515, 8893, 20163, 65297, 114781, 225687, 0};
static int joe_kuo_d6_initial_number13977[] = {1, 3, 7, 11, 19, 47, 121, 199, 173, 905, 1903, 1781, 2425, 13381, 25843, 23279, 87701, 10723, 0};
static int joe_kuo_d6_initial_number13978[] = {1, 3, 1, 13, 7, 21, 17, 15, 85, 241, 119, 2361, 7921, 6077, 955, 34221, 78179, 35511, 0};
static int joe_kuo_d6_initial_number13979[] = {1, 1, 7, 11, 9, 1, 1, 29, 445, 557, 241, 959, 6077, 3547, 30987, 48129, 79699, 236611, 0};
static int joe_kuo_d6_initial_number13980[] = {1, 3, 1, 15, 13, 29, 57, 117, 347, 719, 1435, 307, 5209, 4009, 10517, 3373, 67667, 260101, 0};
static int joe_kuo_d6_initial_number13981[] = {1, 1, 7, 13, 11, 41, 17, 143, 467, 993, 779, 3991, 623, 8915, 21615, 56477, 59721, 164241, 0};
static int joe_kuo_d6_initial_number13982[] = {1, 1, 3, 7, 15, 37, 53, 33, 395, 547, 1815, 2517, 6575, 14035, 1, 10919, 25467, 117521, 0};
static int joe_kuo_d6_initial_number13983[] = {1, 1, 3, 9, 17, 47, 45, 3, 509, 53, 1245, 883, 7917, 15445, 4169, 49637, 90933, 109469, 0};
static int joe_kuo_d6_initial_number13984[] = {1, 3, 1, 3, 27, 37, 3, 95, 31, 665, 701, 1979, 3735, 3257, 18943, 41201, 95721, 69451, 0};
static int joe_kuo_d6_initial_number13985[] = {1, 1, 1, 15, 19, 49, 61, 5, 115, 801, 805, 2723, 1387, 13165, 20717, 40767, 88857, 28207, 0};
static int joe_kuo_d6_initial_number13986[] = {1, 1, 5, 9, 21, 25, 23, 179, 59, 29, 547, 1829, 4411, 6689, 22363, 43975, 52259, 187563, 0};
static int joe_kuo_d6_initial_number13987[] = {1, 1, 5, 11, 13, 31, 97, 131, 135, 415, 53, 4015, 3629, 6613, 25541, 47221, 66483, 224545, 0};
static int joe_kuo_d6_initial_number13988[] = {1, 3, 1, 11, 19, 13, 65, 95, 381, 759, 1319, 2997, 6321, 9203, 24483, 9925, 10799, 117119, 0};
static int joe_kuo_d6_initial_number13989[] = {1, 3, 5, 13, 27, 17, 39, 225, 199, 125, 1125, 2673, 6787, 8861, 13139, 13849, 65459, 40183, 0};
static int joe_kuo_d6_initial_number13990[] = {1, 1, 5, 3, 17, 55, 23, 75, 457, 959, 1507, 1267, 6857, 16141, 1889, 10779, 41331, 166075, 0};
static int joe_kuo_d6_initial_number13991[] = {1, 3, 1, 15, 7, 55, 109, 59, 241, 431, 1281, 183, 1029, 14617, 4003, 41871, 36007, 129617, 0};
static int joe_kuo_d6_initial_number13992[] = {1, 3, 1, 1, 27, 61, 79, 93, 217, 251, 671, 989, 7031, 10035, 15455, 13685, 95471, 997, 0};
static int joe_kuo_d6_initial_number13993[] = {1, 1, 3, 13, 1, 5, 125, 179, 357, 537, 1303, 2653, 7319, 2075, 3861, 11743, 89659, 221705, 0};
static int joe_kuo_d6_initial_number13994[] = {1, 1, 1, 7, 3, 55, 5, 201, 153, 639, 835, 1913, 3331, 10727, 30365, 15133, 67911, 17851, 0};
static int joe_kuo_d6_initial_number13995[] = {1, 1, 3, 13, 21, 1, 67, 71, 265, 43, 279, 2009, 873, 4447, 32001, 50783, 76613, 63919, 0};
static int joe_kuo_d6_initial_number13996[] = {1, 1, 3, 11, 17, 43, 19, 195, 233, 17, 1855, 1227, 3435, 4313, 6417, 51019, 130091, 124947, 0};
static int joe_kuo_d6_initial_number13997[] = {1, 1, 7, 9, 19, 9, 95, 87, 297, 817, 1217, 3637, 2371, 7073, 387, 62121, 43507, 93927, 0};
static int joe_kuo_d6_initial_number13998[] = {1, 3, 5, 13, 1, 15, 29, 123, 137, 425, 531, 2659, 2077, 1345, 2803, 49469, 29031, 170825, 0};
static int joe_kuo_d6_initial_number13999[] = {1, 1, 5, 7, 15, 13, 119, 231, 139, 673, 1105, 2355, 3023, 4437, 17491, 47367, 12751, 183319, 0};
static int joe_kuo_d6_initial_number14000[] = {1, 1, 5, 15, 19, 5, 125, 121, 509, 539, 473, 2087, 4421, 4205, 23457, 34481, 111231, 145035, 0};
static int joe_kuo_d6_initial_number14001[] = {1, 3, 7, 5, 23, 21, 85, 23, 415, 715, 1579, 3447, 2373, 233, 19401, 54869, 15977, 138119, 0};
static int joe_kuo_d6_initial_number14002[] = {1, 1, 3, 11, 21, 1, 37, 127, 101, 943, 79, 2119, 5679, 10749, 16209, 16715, 29421, 259735, 0};
static int joe_kuo_d6_initial_number14003[] = {1, 3, 7, 7, 23, 25, 1, 73, 505, 979, 535, 87, 4165, 9353, 20075, 57597, 74651, 22133, 0};
static int joe_kuo_d6_initial_number14004[] = {1, 1, 7, 3, 11, 19, 75, 213, 293, 15, 1981, 1259, 5455, 2897, 18861, 6317, 10339, 123967, 0};
static int joe_kuo_d6_initial_number14005[] = {1, 3, 1, 3, 29, 5, 93, 169, 51, 519, 1649, 2789, 1251, 8359, 11489, 62443, 91549, 148357, 0};
static int joe_kuo_d6_initial_number14006[] = {1, 3, 3, 13, 5, 47, 39, 163, 341, 755, 737, 2335, 2389, 8351, 26193, 58111, 18425, 129313, 0};
static int joe_kuo_d6_initial_number14007[] = {1, 1, 3, 1, 31, 49, 101, 69, 345, 291, 1257, 1801, 1613, 1479, 4403, 21307, 44947, 68591, 0};
static int joe_kuo_d6_initial_number14008[] = {1, 3, 3, 9, 5, 23, 65, 65, 187, 709, 883, 2199, 1037, 8679, 31527, 23561, 92225, 254215, 0};
static int joe_kuo_d6_initial_number14009[] = {1, 3, 7, 7, 23, 13, 87, 209, 163, 705, 1199, 3007, 5469, 2453, 2691, 17841, 97045, 174149, 0};
static int joe_kuo_d6_initial_number14010[] = {1, 1, 1, 9, 5, 35, 21, 91, 145, 559, 131, 3911, 1777, 8225, 6077, 58223, 100827, 3641, 0};
static int joe_kuo_d6_initial_number14011[] = {1, 1, 5, 5, 7, 5, 31, 189, 117, 785, 1493, 3899, 471, 10971, 4607, 21063, 67225, 195367, 0};
static int joe_kuo_d6_initial_number14012[] = {1, 1, 7, 5, 31, 61, 63, 163, 417, 655, 2033, 1255, 1139, 6867, 28655, 55295, 100519, 166629, 0};
static int joe_kuo_d6_initial_number14013[] = {1, 3, 3, 3, 7, 35, 83, 55, 7, 607, 253, 915, 6801, 7505, 15929, 16829, 78469, 150947, 0};
static int joe_kuo_d6_initial_number14014[] = {1, 3, 3, 9, 29, 3, 127, 235, 347, 3, 193, 1547, 8073, 14963, 20351, 28951, 53855, 261375, 0};
static int joe_kuo_d6_initial_number14015[] = {1, 1, 7, 3, 31, 19, 75, 87, 23, 419, 75, 1677, 2371, 8875, 31993, 4465, 76085, 86499, 0};
static int joe_kuo_d6_initial_number14016[] = {1, 3, 5, 7, 1, 51, 47, 161, 415, 521, 1099, 1295, 2545, 15167, 13983, 7347, 60631, 4089, 0};
static int joe_kuo_d6_initial_number14017[] = {1, 1, 1, 9, 7, 59, 71, 187, 441, 273, 769, 2649, 3261, 12661, 23045, 32035, 104573, 120589, 0};
static int joe_kuo_d6_initial_number14018[] = {1, 3, 7, 13, 23, 51, 113, 205, 443, 291, 475, 2961, 7615, 105, 22099, 6045, 22667, 65515, 0};
static int joe_kuo_d6_initial_number14019[] = {1, 1, 5, 11, 1, 1, 23, 231, 413, 371, 1285, 2695, 2751, 4235, 15779, 1903, 24469, 259157, 0};
static int joe_kuo_d6_initial_number14020[] = {1, 3, 3, 7, 7, 47, 87, 105, 311, 251, 573, 3221, 5757, 11107, 11161, 8809, 14467, 33153, 0};
static int joe_kuo_d6_initial_number14021[] = {1, 1, 7, 1, 31, 49, 51, 31, 305, 315, 547, 1159, 2741, 3773, 13299, 40115, 62523, 108487, 0};
static int joe_kuo_d6_initial_number14022[] = {1, 3, 1, 11, 11, 43, 33, 213, 107, 467, 1509, 4081, 4723, 2409, 1447, 42759, 64717, 161991, 0};
static int joe_kuo_d6_initial_number14023[] = {1, 3, 7, 3, 31, 23, 25, 159, 95, 721, 1981, 3659, 4819, 10119, 25451, 10165, 31281, 238319, 0};
static int joe_kuo_d6_initial_number14024[] = {1, 3, 1, 5, 19, 27, 67, 125, 481, 585, 43, 3697, 4997, 581, 6439, 33477, 115023, 51759, 0};
static int joe_kuo_d6_initial_number14025[] = {1, 3, 7, 7, 15, 53, 89, 173, 369, 365, 91, 1583, 4611, 7189, 30383, 47397, 73657, 158695, 0};
static int joe_kuo_d6_initial_number14026[] = {1, 1, 1, 15, 1, 21, 125, 13, 243, 729, 1397, 2451, 3233, 15593, 2815, 56215, 22685, 167343, 0};
static int joe_kuo_d6_initial_number14027[] = {1, 3, 1, 13, 13, 29, 119, 223, 51, 695, 273, 2381, 4431, 4891, 29875, 49511, 111003, 174413, 0};
static int joe_kuo_d6_initial_number14028[] = {1, 3, 3, 15, 9, 13, 19, 177, 371, 957, 255, 115, 4701, 6089, 7237, 17077, 87949, 3111, 0};
static int joe_kuo_d6_initial_number14029[] = {1, 1, 7, 11, 29, 49, 59, 201, 145, 219, 1159, 3863, 715, 10489, 25883, 56445, 122103, 149877, 0};
static int joe_kuo_d6_initial_number14030[] = {1, 3, 1, 13, 15, 51, 91, 109, 433, 45, 2045, 3121, 1109, 14713, 2667, 40463, 52185, 64743, 0};
static int joe_kuo_d6_initial_number14031[] = {1, 3, 3, 7, 21, 31, 7, 155, 347, 305, 1557, 1311, 3315, 1363, 403, 62063, 114195, 44623, 0};
static int joe_kuo_d6_initial_number14032[] = {1, 3, 5, 11, 9, 11, 11, 245, 49, 21, 239, 3043, 3525, 1055, 21891, 19153, 123689, 170195, 0};
static int joe_kuo_d6_initial_number14033[] = {1, 1, 1, 11, 17, 51, 83, 249, 483, 489, 1063, 469, 6153, 15551, 13783, 27945, 103775, 68175, 0};
static int joe_kuo_d6_initial_number14034[] = {1, 3, 3, 13, 11, 61, 107, 113, 503, 819, 1593, 2851, 6711, 14623, 3709, 10931, 8743, 62321, 0};
static int joe_kuo_d6_initial_number14035[] = {1, 1, 5, 15, 5, 37, 23, 131, 329, 499, 1765, 1273, 819, 11573, 3307, 46933, 22087, 173459, 0};
static int joe_kuo_d6_initial_number14036[] = {1, 1, 1, 3, 31, 5, 49, 57, 239, 981, 1863, 3233, 2727, 7389, 7923, 63259, 62873, 113607, 0};
static int joe_kuo_d6_initial_number14037[] = {1, 1, 7, 7, 11, 27, 119, 137, 115, 211, 1239, 2153, 2579, 11501, 747, 31141, 129793, 151589, 0};
static int joe_kuo_d6_initial_number14038[] = {1, 3, 3, 9, 9, 55, 121, 199, 91, 835, 521, 2433, 8123, 2045, 32553, 48993, 9935, 220537, 0};
static int joe_kuo_d6_initial_number14039[] = {1, 3, 7, 11, 15, 57, 53, 145, 299, 623, 691, 1557, 785, 15851, 27075, 5983, 18043, 22241, 0};
static int joe_kuo_d6_initial_number14040[] = {1, 1, 3, 1, 1, 57, 57, 195, 381, 913, 167, 333, 5541, 2323, 17001, 34817, 30795, 144051, 0};
static int joe_kuo_d6_initial_number14041[] = {1, 3, 3, 3, 31, 1, 83, 31, 91, 855, 195, 3449, 8057, 11061, 29089, 1597, 127581, 189033, 0};
static int joe_kuo_d6_initial_number14042[] = {1, 3, 1, 1, 21, 59, 113, 179, 13, 523, 629, 3693, 7155, 893, 17449, 46535, 18051, 9191, 0};
static int joe_kuo_d6_initial_number14043[] = {1, 1, 1, 3, 27, 19, 75, 229, 181, 653, 1849, 501, 5871, 14769, 27461, 59193, 115013, 72227, 0};
static int joe_kuo_d6_initial_number14044[] = {1, 3, 3, 13, 17, 41, 111, 107, 453, 299, 1699, 2871, 2955, 4215, 13919, 19785, 30339, 148445, 0};
static int joe_kuo_d6_initial_number14045[] = {1, 3, 3, 11, 5, 19, 21, 87, 173, 439, 1651, 2393, 4137, 16285, 16093, 22953, 105663, 226575, 0};
static int joe_kuo_d6_initial_number14046[] = {1, 3, 5, 7, 19, 61, 101, 251, 295, 89, 1695, 1359, 5797, 8587, 18753, 65223, 51079, 96169, 0};
static int joe_kuo_d6_initial_number14047[] = {1, 1, 1, 5, 3, 1, 79, 63, 221, 601, 1385, 1963, 4601, 15217, 4861, 58295, 61043, 88523, 0};
static int joe_kuo_d6_initial_number14048[] = {1, 3, 3, 7, 31, 63, 73, 177, 455, 487, 1009, 2103, 4753, 3143, 10121, 36509, 24753, 230869, 0};
static int joe_kuo_d6_initial_number14049[] = {1, 1, 5, 1, 17, 27, 103, 63, 475, 665, 1189, 3513, 89, 2669, 1227, 20635, 121549, 248851, 0};
static int joe_kuo_d6_initial_number14050[] = {1, 1, 3, 7, 25, 19, 117, 243, 337, 207, 903, 3751, 3309, 11955, 12651, 25359, 83419, 19701, 0};
static int joe_kuo_d6_initial_number14051[] = {1, 1, 7, 15, 19, 21, 3, 235, 289, 185, 1175, 2291, 4003, 7753, 4775, 65321, 48957, 220261, 0};
static int joe_kuo_d6_initial_number14052[] = {1, 3, 5, 11, 23, 21, 107, 65, 117, 329, 1085, 3555, 1183, 15241, 32663, 50985, 66753, 38023, 0};
static int joe_kuo_d6_initial_number14053[] = {1, 1, 7, 9, 11, 49, 65, 17, 291, 435, 1221, 3829, 5467, 5181, 19891, 7091, 80673, 90495, 0};
static int joe_kuo_d6_initial_number14054[] = {1, 1, 1, 15, 17, 47, 119, 173, 297, 477, 859, 3661, 8081, 8257, 20841, 55123, 11231, 193669, 0};
static int joe_kuo_d6_initial_number14055[] = {1, 1, 7, 7, 27, 11, 119, 109, 199, 727, 1569, 3749, 4067, 11675, 30213, 58091, 64303, 92785, 0};
static int joe_kuo_d6_initial_number14056[] = {1, 3, 7, 15, 15, 39, 101, 149, 299, 449, 1017, 723, 7731, 7929, 22465, 61583, 69851, 150507, 0};
static int joe_kuo_d6_initial_number14057[] = {1, 3, 5, 15, 5, 13, 97, 127, 21, 673, 353, 3885, 5761, 11443, 10089, 23701, 85879, 42217, 0};
static int joe_kuo_d6_initial_number14058[] = {1, 3, 1, 5, 27, 55, 31, 167, 69, 453, 925, 555, 5135, 2759, 27077, 14497, 94333, 108729, 0};
static int joe_kuo_d6_initial_number14059[] = {1, 1, 7, 15, 11, 55, 9, 241, 55, 611, 149, 2605, 653, 1631, 15059, 6349, 12321, 124561, 0};
static int joe_kuo_d6_initial_number14060[] = {1, 1, 1, 9, 3, 11, 95, 67, 443, 103, 1687, 2667, 4567, 4271, 15601, 27859, 4757, 53289, 0};
static int joe_kuo_d6_initial_number14061[] = {1, 1, 5, 9, 23, 21, 1, 125, 105, 975, 1879, 1821, 5273, 7079, 25009, 10471, 29119, 73249, 0};
static int joe_kuo_d6_initial_number14062[] = {1, 1, 7, 1, 31, 61, 17, 23, 485, 565, 1325, 1559, 4131, 751, 2071, 4719, 15925, 101207, 0};
static int joe_kuo_d6_initial_number14063[] = {1, 1, 5, 5, 13, 53, 13, 93, 149, 139, 1429, 3605, 3545, 11193, 14139, 6093, 115727, 183105, 0};
static int joe_kuo_d6_initial_number14064[] = {1, 1, 1, 7, 15, 37, 51, 77, 177, 967, 405, 563, 3047, 8499, 26787, 27609, 23613, 239679, 0};
static int joe_kuo_d6_initial_number14065[] = {1, 1, 1, 5, 27, 37, 1, 129, 197, 133, 1329, 3673, 3143, 1059, 19209, 39027, 43787, 42821, 0};
static int joe_kuo_d6_initial_number14066[] = {1, 3, 7, 5, 5, 47, 105, 121, 219, 777, 1569, 1359, 1955, 13207, 14895, 7829, 40499, 182911, 0};
static int joe_kuo_d6_initial_number14067[] = {1, 3, 5, 7, 11, 41, 41, 155, 245, 383, 405, 2415, 5809, 5117, 31523, 16927, 76785, 113731, 0};
static int joe_kuo_d6_initial_number14068[] = {1, 3, 3, 9, 9, 21, 13, 197, 409, 931, 305, 1129, 865, 12961, 5239, 35823, 82565, 226765, 0};
static int joe_kuo_d6_initial_number14069[] = {1, 1, 5, 3, 17, 27, 59, 79, 359, 601, 979, 1355, 1657, 10479, 4741, 36391, 111527, 105139, 0};
static int joe_kuo_d6_initial_number14070[] = {1, 3, 5, 9, 13, 43, 31, 1, 309, 723, 1049, 803, 1653, 2551, 26317, 49731, 67799, 129225, 0};
static int joe_kuo_d6_initial_number14071[] = {1, 1, 5, 3, 1, 39, 95, 243, 499, 809, 1515, 981, 585, 7907, 16801, 43381, 117537, 99787, 0};
static int joe_kuo_d6_initial_number14072[] = {1, 1, 5, 5, 25, 23, 15, 127, 33, 799, 647, 2923, 7805, 2681, 14773, 42751, 106861, 119657, 0};
static int joe_kuo_d6_initial_number14073[] = {1, 3, 1, 1, 1, 47, 11, 179, 179, 659, 1061, 2511, 3601, 7107, 27887, 48427, 40559, 106043, 0};
static int joe_kuo_d6_initial_number14074[] = {1, 1, 7, 11, 5, 33, 115, 195, 431, 383, 1571, 3485, 5741, 5775, 14891, 26389, 71723, 198861, 0};
static int joe_kuo_d6_initial_number14075[] = {1, 1, 5, 5, 11, 55, 37, 57, 381, 607, 2017, 1981, 6113, 3771, 8827, 13335, 88587, 102791, 0};
static int joe_kuo_d6_initial_number14076[] = {1, 1, 1, 11, 29, 23, 73, 149, 405, 581, 721, 281, 5315, 4675, 13013, 39003, 20335, 109855, 0};
static int joe_kuo_d6_initial_number14077[] = {1, 1, 7, 15, 17, 57, 39, 51, 403, 979, 1543, 1235, 797, 5949, 26647, 15125, 33255, 152861, 0};
static int joe_kuo_d6_initial_number14078[] = {1, 1, 5, 3, 25, 27, 7, 147, 257, 163, 1297, 2289, 693, 7771, 6341, 22323, 1653, 177669, 0};
static int joe_kuo_d6_initial_number14079[] = {1, 1, 3, 9, 1, 39, 47, 231, 15, 705, 897, 3943, 6281, 6679, 21695, 29553, 39509, 83135, 0};
static int joe_kuo_d6_initial_number14080[] = {1, 3, 3, 15, 17, 43, 15, 195, 31, 501, 529, 3117, 6031, 12101, 30687, 52465, 66171, 149591, 0};
static int joe_kuo_d6_initial_number14081[] = {1, 1, 3, 5, 13, 17, 63, 41, 303, 671, 1225, 1761, 6159, 3203, 23611, 18309, 115027, 116325, 0};
static int joe_kuo_d6_initial_number14082[] = {1, 1, 5, 13, 17, 5, 97, 155, 479, 525, 1403, 4063, 8167, 6443, 20627, 41399, 26897, 102841, 0};
static int joe_kuo_d6_initial_number14083[] = {1, 3, 5, 9, 9, 27, 59, 177, 453, 659, 765, 431, 4209, 12679, 10719, 22473, 81597, 20057, 0};
static int joe_kuo_d6_initial_number14084[] = {1, 3, 3, 1, 3, 37, 91, 97, 159, 845, 519, 2603, 6979, 6711, 29781, 53639, 103357, 111671, 0};
static int joe_kuo_d6_initial_number14085[] = {1, 1, 3, 3, 25, 15, 27, 9, 503, 719, 153, 3071, 281, 5341, 32595, 13069, 6461, 160319, 0};
static int joe_kuo_d6_initial_number14086[] = {1, 3, 3, 5, 29, 7, 119, 229, 117, 925, 465, 1703, 7277, 10631, 9429, 41011, 45181, 229239, 0};
static int joe_kuo_d6_initial_number14087[] = {1, 1, 7, 7, 31, 63, 67, 55, 445, 39, 1363, 1369, 1061, 8555, 29263, 47341, 49563, 80445, 0};
static int joe_kuo_d6_initial_number14088[] = {1, 1, 7, 1, 23, 23, 49, 205, 371, 101, 1963, 2763, 3475, 835, 20371, 51343, 9771, 69713, 0};
static int joe_kuo_d6_initial_number14089[] = {1, 3, 3, 7, 3, 29, 7, 185, 511, 93, 1077, 3971, 2981, 16367, 12703, 36179, 47755, 42767, 0};
static int joe_kuo_d6_initial_number14090[] = {1, 1, 1, 11, 27, 47, 43, 39, 129, 337, 1249, 3557, 2871, 13565, 19525, 46263, 49203, 148235, 0};
static int joe_kuo_d6_initial_number14091[] = {1, 3, 5, 11, 19, 3, 83, 151, 425, 199, 847, 3751, 1729, 12457, 21819, 295, 53627, 17555, 0};
static int joe_kuo_d6_initial_number14092[] = {1, 1, 3, 5, 7, 43, 21, 221, 93, 785, 1851, 3891, 2103, 5219, 31845, 58943, 42461, 160149, 0};
static int joe_kuo_d6_initial_number14093[] = {1, 3, 5, 9, 25, 11, 43, 171, 445, 335, 1907, 3401, 815, 10341, 17779, 24895, 7727, 168143, 0};
static int joe_kuo_d6_initial_number14094[] = {1, 3, 1, 5, 27, 25, 41, 13, 239, 233, 1861, 3409, 4325, 2227, 30197, 59329, 48501, 168799, 0};
static int joe_kuo_d6_initial_number14095[] = {1, 3, 5, 13, 9, 55, 83, 185, 287, 83, 1545, 2803, 2177, 6195, 14455, 30541, 75731, 98915, 0};
static int joe_kuo_d6_initial_number14096[] = {1, 3, 3, 5, 25, 19, 5, 203, 303, 703, 1861, 3867, 2683, 8223, 11107, 54785, 106053, 135543, 0};
static int joe_kuo_d6_initial_number14097[] = {1, 1, 1, 13, 19, 7, 11, 197, 303, 541, 977, 2083, 4739, 7971, 2245, 11029, 77333, 16573, 0};
static int joe_kuo_d6_initial_number14098[] = {1, 1, 1, 3, 11, 33, 77, 59, 283, 791, 365, 4027, 487, 10559, 4543, 58111, 91861, 102905, 0};
static int joe_kuo_d6_initial_number14099[] = {1, 3, 7, 7, 15, 3, 19, 51, 339, 377, 929, 693, 1617, 14057, 7107, 27181, 7411, 202843, 0};
static int joe_kuo_d6_initial_number14100[] = {1, 3, 3, 9, 19, 9, 73, 109, 333, 917, 1227, 2871, 4893, 11029, 5619, 27091, 9381, 213403, 0};
static int joe_kuo_d6_initial_number14101[] = {1, 1, 1, 9, 9, 13, 77, 131, 163, 619, 169, 315, 1277, 13705, 16853, 1179, 86433, 135427, 0};
static int joe_kuo_d6_initial_number14102[] = {1, 3, 5, 9, 15, 47, 57, 119, 325, 529, 893, 2395, 5159, 5481, 18689, 6457, 114733, 159999, 0};
static int joe_kuo_d6_initial_number14103[] = {1, 3, 7, 5, 15, 9, 113, 235, 475, 93, 495, 2983, 2769, 5209, 7481, 49699, 46961, 246393, 0};
static int joe_kuo_d6_initial_number14104[] = {1, 1, 7, 1, 5, 31, 113, 27, 359, 635, 955, 2795, 6289, 11621, 11059, 2259, 57443, 243143, 0};
static int joe_kuo_d6_initial_number14105[] = {1, 3, 3, 13, 19, 33, 53, 141, 437, 415, 919, 1375, 2703, 13731, 31559, 14115, 50101, 85199, 0};
static int joe_kuo_d6_initial_number14106[] = {1, 1, 7, 13, 27, 57, 111, 89, 89, 313, 1107, 4049, 2485, 269, 10197, 36995, 71381, 112795, 0};
static int joe_kuo_d6_initial_number14107[] = {1, 1, 3, 7, 17, 23, 119, 123, 145, 213, 1273, 1707, 4005, 13815, 23495, 36359, 14391, 94287, 0};
static int joe_kuo_d6_initial_number14108[] = {1, 1, 7, 1, 5, 49, 81, 193, 105, 1003, 413, 2975, 1725, 5647, 25447, 43501, 4431, 115489, 0};
static int joe_kuo_d6_initial_number14109[] = {1, 3, 1, 5, 29, 13, 47, 37, 441, 955, 611, 853, 7225, 4959, 8739, 31703, 48095, 124085, 0};
static int joe_kuo_d6_initial_number14110[] = {1, 1, 5, 15, 31, 9, 125, 53, 229, 631, 1031, 3923, 4417, 12637, 22093, 46985, 103417, 193443, 0};
static int joe_kuo_d6_initial_number14111[] = {1, 1, 7, 1, 7, 9, 77, 11, 451, 615, 1259, 3097, 1513, 13641, 26845, 17399, 63661, 9231, 0};
static int joe_kuo_d6_initial_number14112[] = {1, 1, 7, 13, 25, 47, 125, 1, 333, 599, 1133, 3527, 7451, 2849, 27227, 40015, 118185, 24737, 0};
static int joe_kuo_d6_initial_number14113[] = {1, 1, 5, 5, 31, 15, 85, 37, 121, 677, 593, 2757, 739, 839, 3939, 36339, 116663, 955, 0};
static int joe_kuo_d6_initial_number14114[] = {1, 3, 1, 11, 19, 13, 87, 109, 149, 215, 1811, 3813, 7699, 16189, 12841, 52081, 104545, 245819, 0};
static int joe_kuo_d6_initial_number14115[] = {1, 1, 7, 3, 31, 17, 99, 23, 377, 131, 821, 1167, 4437, 15727, 20753, 8163, 43719, 7243, 0};
static int joe_kuo_d6_initial_number14116[] = {1, 3, 7, 13, 21, 5, 5, 167, 9, 1009, 1013, 797, 6145, 2855, 19969, 59887, 3419, 238661, 0};
static int joe_kuo_d6_initial_number14117[] = {1, 1, 7, 1, 5, 39, 47, 91, 185, 139, 959, 3149, 3423, 8909, 2045, 18187, 71935, 238605, 0};
static int joe_kuo_d6_initial_number14118[] = {1, 3, 5, 11, 29, 63, 105, 43, 27, 221, 879, 181, 1499, 10343, 27135, 823, 4893, 101707, 0};
static int joe_kuo_d6_initial_number14119[] = {1, 3, 5, 11, 5, 13, 59, 83, 315, 999, 1205, 939, 3661, 3081, 15551, 13791, 49027, 26843, 0};
static int joe_kuo_d6_initial_number14120[] = {1, 1, 1, 5, 3, 57, 105, 169, 123, 463, 1471, 445, 743, 13353, 17661, 23437, 35451, 115919, 0};
static int joe_kuo_d6_initial_number14121[] = {1, 1, 5, 11, 9, 3, 41, 63, 501, 861, 153, 1591, 1379, 5189, 24483, 8073, 43319, 248959, 0};
static int joe_kuo_d6_initial_number14122[] = {1, 1, 7, 3, 29, 45, 51, 177, 1, 961, 1493, 2179, 3723, 1923, 1517, 44823, 81613, 194641, 0};
static int joe_kuo_d6_initial_number14123[] = {1, 1, 5, 11, 17, 17, 61, 141, 5, 529, 379, 2509, 1487, 13141, 10877, 18603, 40569, 69639, 0};
static int joe_kuo_d6_initial_number14124[] = {1, 1, 5, 15, 1, 15, 33, 219, 269, 557, 7, 3627, 183, 6975, 4627, 15235, 51863, 172393, 0};
static int joe_kuo_d6_initial_number14125[] = {1, 3, 7, 9, 1, 37, 13, 75, 151, 153, 1693, 2835, 3093, 8847, 6721, 44135, 128931, 230745, 0};
static int joe_kuo_d6_initial_number14126[] = {1, 1, 3, 13, 29, 63, 33, 153, 503, 137, 401, 2315, 2223, 10843, 4235, 37295, 103249, 183899, 0};
static int joe_kuo_d6_initial_number14127[] = {1, 1, 7, 11, 15, 25, 49, 55, 39, 13, 269, 3119, 3445, 8265, 16781, 57239, 97489, 204841, 0};
static int joe_kuo_d6_initial_number14128[] = {1, 1, 1, 1, 25, 57, 117, 199, 41, 351, 477, 1891, 7913, 14439, 25305, 64811, 57731, 184265, 0};
static int joe_kuo_d6_initial_number14129[] = {1, 3, 3, 1, 13, 41, 33, 53, 381, 31, 1861, 2207, 1497, 15539, 23589, 53215, 36887, 134007, 0};
static int joe_kuo_d6_initial_number14130[] = {1, 1, 5, 7, 15, 37, 13, 99, 17, 325, 643, 2943, 7967, 11531, 21301, 5125, 63201, 101203, 0};
static int joe_kuo_d6_initial_number14131[] = {1, 1, 7, 11, 23, 21, 119, 151, 457, 929, 1917, 3123, 1133, 11861, 27889, 40421, 90949, 113237, 0};
static int joe_kuo_d6_initial_number14132[] = {1, 3, 5, 9, 13, 35, 111, 83, 371, 589, 1507, 3559, 773, 5895, 31453, 40865, 124103, 250473, 0};
static int joe_kuo_d6_initial_number14133[] = {1, 3, 3, 15, 11, 7, 93, 163, 285, 763, 2023, 1047, 3349, 13575, 22571, 21513, 56081, 204765, 0};
static int joe_kuo_d6_initial_number14134[] = {1, 3, 3, 5, 19, 19, 47, 25, 49, 717, 1155, 3901, 407, 2699, 30961, 55647, 96043, 185559, 0};
static int joe_kuo_d6_initial_number14135[] = {1, 1, 1, 7, 29, 1, 49, 87, 311, 435, 1235, 1041, 6595, 1639, 32495, 44245, 6593, 236331, 0};
static int joe_kuo_d6_initial_number14136[] = {1, 3, 7, 9, 27, 13, 1, 41, 75, 953, 1635, 101, 7231, 13019, 14773, 17315, 120993, 111215, 0};
static int joe_kuo_d6_initial_number14137[] = {1, 1, 5, 9, 23, 31, 87, 47, 83, 791, 1239, 1453, 5459, 4847, 7285, 32667, 45991, 103593, 0};
static int joe_kuo_d6_initial_number14138[] = {1, 3, 1, 3, 27, 47, 97, 191, 5, 961, 1191, 3897, 6821, 4257, 22047, 31557, 52603, 251405, 0};
static int joe_kuo_d6_initial_number14139[] = {1, 1, 5, 3, 23, 45, 103, 115, 287, 47, 93, 2761, 6467, 14031, 21881, 31631, 47605, 237635, 0};
static int joe_kuo_d6_initial_number14140[] = {1, 3, 7, 15, 23, 41, 63, 239, 115, 655, 1949, 1969, 3145, 91, 16735, 49295, 117995, 40537, 0};
static int joe_kuo_d6_initial_number14141[] = {1, 1, 7, 11, 5, 25, 99, 247, 11, 707, 1497, 785, 6055, 8521, 12179, 56363, 110131, 55449, 0};
static int joe_kuo_d6_initial_number14142[] = {1, 1, 1, 7, 5, 31, 99, 7, 285, 281, 1207, 1173, 7637, 9595, 31413, 16597, 96157, 39059, 0};
static int joe_kuo_d6_initial_number14143[] = {1, 3, 7, 7, 3, 49, 79, 69, 57, 523, 65, 2785, 2907, 11295, 16199, 25845, 51801, 67417, 0};
static int joe_kuo_d6_initial_number14144[] = {1, 1, 3, 1, 1, 53, 57, 117, 1, 927, 1787, 3059, 7441, 14663, 10881, 2225, 29375, 93717, 0};
static int joe_kuo_d6_initial_number14145[] = {1, 1, 5, 5, 29, 17, 67, 35, 475, 367, 155, 3463, 2339, 6239, 31073, 56169, 130309, 28981, 0};
static int joe_kuo_d6_initial_number14146[] = {1, 1, 1, 5, 7, 53, 61, 105, 355, 817, 869, 2863, 6041, 11459, 4151, 61115, 100689, 32917, 0};
static int joe_kuo_d6_initial_number14147[] = {1, 3, 5, 11, 31, 11, 33, 105, 437, 767, 101, 2979, 3911, 4859, 15551, 23545, 10705, 6271, 0};
static int joe_kuo_d6_initial_number14148[] = {1, 1, 7, 5, 1, 17, 109, 205, 409, 893, 889, 2181, 6167, 14273, 25389, 50279, 5497, 191755, 0};
static int joe_kuo_d6_initial_number14149[] = {1, 3, 7, 15, 29, 11, 79, 101, 123, 399, 1159, 1263, 3513, 13169, 2199, 41057, 98639, 227107, 0};
static int joe_kuo_d6_initial_number14150[] = {1, 1, 3, 11, 13, 31, 51, 119, 257, 829, 337, 3267, 7673, 15459, 26681, 4041, 89429, 198607, 0};
static int joe_kuo_d6_initial_number14151[] = {1, 3, 7, 11, 23, 29, 49, 159, 327, 415, 857, 2411, 2429, 11839, 20263, 61813, 31811, 225443, 0};
static int joe_kuo_d6_initial_number14152[] = {1, 1, 3, 11, 7, 61, 61, 119, 431, 299, 1815, 2857, 7605, 7517, 15137, 13727, 73021, 199325, 0};
static int joe_kuo_d6_initial_number14153[] = {1, 1, 7, 3, 5, 19, 51, 19, 59, 637, 591, 2999, 5997, 13487, 807, 4887, 112189, 226597, 0};
static int joe_kuo_d6_initial_number14154[] = {1, 1, 1, 13, 21, 5, 55, 167, 463, 679, 891, 3597, 785, 7717, 17495, 51681, 55957, 48561, 0};
static int joe_kuo_d6_initial_number14155[] = {1, 1, 5, 5, 9, 55, 55, 143, 193, 839, 785, 1713, 7457, 11591, 15803, 2479, 124663, 72631, 0};
static int joe_kuo_d6_initial_number14156[] = {1, 3, 5, 9, 21, 27, 109, 91, 483, 905, 1369, 2573, 7173, 13977, 20131, 17637, 127477, 66457, 0};
static int joe_kuo_d6_initial_number14157[] = {1, 1, 5, 7, 31, 17, 43, 153, 505, 413, 867, 769, 6947, 10815, 18805, 5957, 27715, 24529, 0};
static int joe_kuo_d6_initial_number14158[] = {1, 3, 5, 9, 13, 41, 107, 199, 69, 1019, 2037, 3221, 1081, 15051, 6713, 46379, 17223, 85453, 0};
static int joe_kuo_d6_initial_number14159[] = {1, 3, 3, 7, 23, 51, 45, 133, 227, 373, 1815, 3795, 5567, 7153, 25003, 64951, 75377, 174115, 0};
static int joe_kuo_d6_initial_number14160[] = {1, 1, 7, 15, 7, 51, 33, 239, 113, 133, 1213, 327, 4841, 11297, 1093, 40013, 60843, 99845, 0};
static int joe_kuo_d6_initial_number14161[] = {1, 1, 1, 11, 3, 37, 33, 107, 275, 747, 1451, 1787, 5029, 3101, 11575, 36555, 46181, 221643, 0};
static int joe_kuo_d6_initial_number14162[] = {1, 1, 3, 3, 29, 53, 57, 67, 209, 153, 345, 2897, 5657, 8907, 14159, 9899, 102487, 237721, 0};
static int joe_kuo_d6_initial_number14163[] = {1, 3, 1, 7, 7, 59, 17, 151, 423, 903, 2035, 861, 1057, 2399, 28547, 3659, 29583, 100651, 0};
static int joe_kuo_d6_initial_number14164[] = {1, 1, 5, 15, 27, 53, 101, 17, 405, 869, 1253, 1923, 999, 7787, 23621, 4351, 48611, 47129, 0};
static int joe_kuo_d6_initial_number14165[] = {1, 3, 7, 11, 13, 43, 61, 161, 43, 831, 2021, 579, 5353, 12451, 32261, 39885, 90051, 34407, 0};
static int joe_kuo_d6_initial_number14166[] = {1, 1, 1, 5, 25, 19, 37, 33, 37, 59, 1399, 1587, 1517, 4261, 31215, 33777, 50447, 87049, 0};
static int joe_kuo_d6_initial_number14167[] = {1, 1, 3, 1, 19, 17, 113, 31, 385, 135, 143, 3997, 1365, 2625, 22591, 8887, 31353, 240603, 0};
static int joe_kuo_d6_initial_number14168[] = {1, 3, 7, 11, 21, 7, 55, 171, 233, 1007, 1321, 2903, 2457, 3941, 19667, 49115, 99119, 185989, 0};
static int joe_kuo_d6_initial_number14169[] = {1, 3, 7, 9, 3, 31, 83, 99, 303, 443, 99, 2285, 1491, 15897, 21735, 1575, 74449, 59615, 0};
static int joe_kuo_d6_initial_number14170[] = {1, 3, 1, 5, 29, 37, 125, 213, 277, 115, 255, 137, 6071, 13561, 23871, 48129, 120211, 168603, 0};
static int joe_kuo_d6_initial_number14171[] = {1, 1, 7, 3, 9, 21, 93, 239, 399, 21, 9, 409, 3403, 9517, 6421, 17121, 65697, 251985, 0};
static int joe_kuo_d6_initial_number14172[] = {1, 1, 1, 15, 27, 35, 17, 113, 471, 357, 1703, 871, 1803, 3495, 27437, 48343, 86425, 155245, 0};
static int joe_kuo_d6_initial_number14173[] = {1, 3, 7, 11, 19, 45, 51, 195, 345, 77, 1403, 2527, 3405, 14057, 31965, 17375, 35107, 246545, 0};
static int joe_kuo_d6_initial_number14174[] = {1, 3, 5, 7, 7, 5, 115, 39, 51, 261, 1883, 1793, 3423, 3613, 20399, 27267, 99875, 119719, 0};
static int joe_kuo_d6_initial_number14175[] = {1, 3, 3, 9, 21, 23, 65, 69, 261, 79, 151, 3387, 7789, 13275, 30135, 52229, 40787, 181297, 0};
static int joe_kuo_d6_initial_number14176[] = {1, 1, 5, 13, 19, 49, 111, 125, 433, 99, 1673, 2091, 5447, 9377, 9085, 4659, 75121, 105809, 0};
static int joe_kuo_d6_initial_number14177[] = {1, 3, 7, 1, 3, 27, 107, 109, 245, 431, 1727, 3269, 2099, 10777, 21843, 63377, 47343, 126269, 0};
static int joe_kuo_d6_initial_number14178[] = {1, 3, 1, 15, 7, 17, 107, 153, 37, 287, 1873, 573, 5025, 3735, 32545, 35693, 38083, 89569, 0};
static int joe_kuo_d6_initial_number14179[] = {1, 3, 1, 3, 9, 51, 99, 247, 45, 703, 1231, 1895, 6309, 12137, 14697, 25441, 129701, 198811, 0};
static int joe_kuo_d6_initial_number14180[] = {1, 3, 3, 11, 5, 43, 1, 31, 359, 563, 1013, 3475, 3935, 7855, 10085, 15279, 25109, 225643, 0};
static int joe_kuo_d6_initial_number14181[] = {1, 3, 3, 3, 9, 47, 49, 193, 223, 23, 391, 847, 7233, 14955, 10645, 50535, 5415, 119791, 0};
static int joe_kuo_d6_initial_number14182[] = {1, 3, 1, 7, 3, 7, 57, 189, 219, 287, 401, 1767, 5585, 13983, 18485, 56725, 71905, 33779, 0};
static int joe_kuo_d6_initial_number14183[] = {1, 3, 5, 15, 23, 17, 115, 223, 35, 263, 345, 3459, 857, 1467, 30255, 50127, 72985, 62509, 0};
static int joe_kuo_d6_initial_number14184[] = {1, 3, 1, 9, 3, 27, 125, 43, 47, 183, 1421, 319, 4273, 10701, 21761, 23947, 22531, 10855, 0};
static int joe_kuo_d6_initial_number14185[] = {1, 1, 3, 15, 13, 55, 77, 1, 295, 841, 1115, 4093, 7993, 13309, 24851, 35411, 105201, 188543, 0};
static int joe_kuo_d6_initial_number14186[] = {1, 3, 3, 5, 19, 39, 101, 19, 225, 997, 1999, 407, 3147, 15393, 30379, 26221, 21685, 114167, 0};
static int joe_kuo_d6_initial_number14187[] = {1, 3, 3, 3, 23, 15, 3, 57, 45, 381, 47, 1839, 5491, 6775, 18477, 51443, 757, 183111, 0};
static int joe_kuo_d6_initial_number14188[] = {1, 3, 3, 7, 31, 27, 107, 229, 1, 977, 125, 1137, 4873, 14381, 8705, 64641, 38447, 239887, 0};
static int joe_kuo_d6_initial_number14189[] = {1, 1, 3, 13, 9, 35, 49, 187, 459, 407, 1677, 2007, 1091, 12385, 8911, 38221, 108681, 171641, 0};
static int joe_kuo_d6_initial_number14190[] = {1, 1, 3, 5, 7, 61, 115, 155, 437, 829, 1041, 2191, 1489, 1269, 27613, 48713, 40095, 206057, 0};
static int joe_kuo_d6_initial_number14191[] = {1, 3, 7, 1, 23, 1, 17, 215, 363, 119, 845, 987, 5619, 5857, 11307, 63171, 76921, 201767, 0};
static int joe_kuo_d6_initial_number14192[] = {1, 1, 7, 9, 29, 23, 63, 247, 37, 199, 103, 1215, 913, 12865, 24089, 35101, 117677, 261393, 0};
static int joe_kuo_d6_initial_number14193[] = {1, 1, 1, 1, 3, 19, 7, 159, 183, 275, 467, 3629, 6575, 3351, 26955, 29247, 119007, 67895, 0};
static int joe_kuo_d6_initial_number14194[] = {1, 1, 7, 13, 1, 33, 31, 211, 103, 495, 417, 817, 7129, 10169, 11445, 41511, 73101, 185357, 0};
static int joe_kuo_d6_initial_number14195[] = {1, 1, 3, 5, 3, 27, 99, 1, 425, 295, 131, 835, 1833, 4547, 8777, 29489, 60303, 191437, 0};
static int joe_kuo_d6_initial_number14196[] = {1, 1, 5, 5, 31, 63, 71, 189, 317, 61, 385, 891, 2257, 8281, 17325, 12207, 125847, 28259, 0};
static int joe_kuo_d6_initial_number14197[] = {1, 1, 3, 3, 19, 19, 97, 83, 495, 551, 1339, 1699, 3047, 13623, 27731, 28999, 101225, 146139, 0};
static int joe_kuo_d6_initial_number14198[] = {1, 3, 5, 7, 25, 9, 37, 73, 239, 47, 583, 3337, 1329, 79, 30109, 12451, 10163, 62943, 0};
static int joe_kuo_d6_initial_number14199[] = {1, 1, 3, 1, 9, 1, 31, 181, 231, 441, 1241, 233, 6049, 2401, 9867, 58911, 20599, 26321, 0};
static int joe_kuo_d6_initial_number14200[] = {1, 3, 1, 15, 21, 43, 21, 43, 273, 865, 79, 2069, 3375, 16069, 12355, 56355, 9735, 243719, 0};
static int joe_kuo_d6_initial_number14201[] = {1, 3, 5, 11, 13, 21, 5, 73, 423, 761, 1947, 2935, 3931, 5573, 83, 58251, 113115, 245767, 0};
static int joe_kuo_d6_initial_number14202[] = {1, 3, 7, 7, 15, 49, 73, 211, 309, 635, 1257, 2185, 7151, 11959, 26885, 45955, 103503, 161709, 0};
static int joe_kuo_d6_initial_number14203[] = {1, 3, 1, 15, 31, 53, 29, 35, 343, 87, 1833, 2483, 1847, 4709, 6105, 21961, 106541, 46741, 0};
static int joe_kuo_d6_initial_number14204[] = {1, 1, 7, 7, 21, 43, 41, 51, 29, 521, 713, 3693, 483, 11777, 10453, 43691, 97585, 133193, 0};
static int joe_kuo_d6_initial_number14205[] = {1, 3, 3, 11, 5, 45, 3, 179, 183, 255, 1291, 1795, 5721, 10911, 18395, 64349, 23141, 99481, 0};
static int joe_kuo_d6_initial_number14206[] = {1, 1, 1, 5, 5, 25, 61, 169, 475, 953, 617, 559, 5945, 16377, 30063, 30079, 83305, 81745, 0};
static int joe_kuo_d6_initial_number14207[] = {1, 1, 5, 11, 29, 59, 113, 37, 153, 807, 135, 2639, 4535, 7079, 6387, 63523, 89669, 198803, 0};
static int joe_kuo_d6_initial_number14208[] = {1, 1, 7, 7, 19, 23, 71, 51, 165, 733, 1427, 2473, 331, 5027, 9299, 20617, 126775, 91619, 0};
static int joe_kuo_d6_initial_number14209[] = {1, 3, 5, 7, 31, 35, 117, 235, 29, 677, 1243, 281, 6287, 535, 4783, 37781, 130929, 14193, 0};
static int joe_kuo_d6_initial_number14210[] = {1, 1, 5, 3, 25, 1, 29, 109, 289, 631, 41, 361, 5537, 9657, 7475, 63749, 50325, 169791, 0};
static int joe_kuo_d6_initial_number14211[] = {1, 3, 3, 15, 21, 53, 85, 43, 341, 907, 475, 3257, 2541, 10397, 30847, 63681, 121427, 192135, 0};
static int joe_kuo_d6_initial_number14212[] = {1, 1, 1, 1, 9, 59, 59, 233, 335, 345, 1749, 4007, 1833, 7789, 21015, 48939, 15967, 201321, 0};
static int joe_kuo_d6_initial_number14213[] = {1, 1, 1, 5, 11, 9, 101, 243, 391, 1003, 1019, 311, 3707, 10223, 21627, 8237, 53861, 159785, 0};
static int joe_kuo_d6_initial_number14214[] = {1, 3, 7, 15, 5, 3, 109, 197, 507, 947, 833, 1161, 4021, 5575, 8081, 45381, 112597, 70407, 0};
static int joe_kuo_d6_initial_number14215[] = {1, 1, 3, 1, 7, 63, 63, 53, 481, 1003, 43, 2503, 2303, 12593, 21403, 2965, 5377, 91491, 0};
static int joe_kuo_d6_initial_number14216[] = {1, 1, 1, 1, 29, 45, 49, 73, 253, 197, 1245, 1509, 4747, 6207, 28321, 59193, 112687, 83719, 0};
static int joe_kuo_d6_initial_number14217[] = {1, 1, 7, 3, 11, 51, 23, 83, 185, 643, 1427, 227, 2261, 12521, 27033, 5129, 53111, 34975, 0};
static int joe_kuo_d6_initial_number14218[] = {1, 1, 7, 3, 5, 41, 55, 175, 447, 603, 723, 2141, 1189, 4921, 16905, 2463, 83641, 247241, 0};
static int joe_kuo_d6_initial_number14219[] = {1, 3, 3, 13, 5, 11, 95, 59, 391, 319, 1675, 329, 7559, 11585, 28905, 27843, 106667, 15531, 0};
static int joe_kuo_d6_initial_number14220[] = {1, 3, 3, 3, 27, 17, 103, 115, 447, 657, 267, 2541, 665, 7819, 4155, 32191, 60999, 48737, 0};
static int joe_kuo_d6_initial_number14221[] = {1, 1, 5, 7, 7, 49, 87, 171, 457, 149, 1699, 4081, 3913, 7889, 29517, 3339, 33139, 8925, 0};
static int joe_kuo_d6_initial_number14222[] = {1, 1, 1, 9, 11, 51, 87, 115, 429, 505, 1665, 2361, 5811, 1621, 12727, 33703, 52255, 93835, 0};
static int joe_kuo_d6_initial_number14223[] = {1, 3, 3, 5, 27, 11, 35, 49, 281, 607, 1791, 4065, 5103, 5253, 975, 20353, 38253, 139363, 0};
static int joe_kuo_d6_initial_number14224[] = {1, 1, 5, 9, 29, 15, 37, 141, 445, 751, 1219, 2217, 7207, 14981, 21113, 3313, 107127, 135567, 0};
static int joe_kuo_d6_initial_number14225[] = {1, 3, 3, 15, 1, 41, 23, 27, 167, 609, 913, 631, 923, 6939, 9793, 57869, 126577, 145271, 0};
static int joe_kuo_d6_initial_number14226[] = {1, 1, 3, 7, 27, 47, 127, 5, 213, 575, 559, 2541, 3457, 2903, 19529, 53395, 105353, 212607, 0};
static int joe_kuo_d6_initial_number14227[] = {1, 3, 1, 13, 27, 41, 31, 111, 371, 1019, 241, 2075, 2571, 10739, 28163, 16093, 41127, 69783, 0};
static int joe_kuo_d6_initial_number14228[] = {1, 1, 5, 1, 21, 9, 15, 141, 287, 675, 1721, 2291, 6587, 7503, 6363, 9109, 33547, 259627, 0};
static int joe_kuo_d6_initial_number14229[] = {1, 3, 7, 3, 3, 53, 7, 153, 183, 761, 191, 3735, 2619, 11153, 19601, 33855, 82345, 72755, 0};
static int joe_kuo_d6_initial_number14230[] = {1, 3, 1, 9, 19, 21, 41, 105, 281, 833, 981, 2733, 7179, 14691, 18365, 56283, 53719, 191601, 0};
static int joe_kuo_d6_initial_number14231[] = {1, 1, 7, 11, 23, 1, 55, 213, 105, 517, 809, 4087, 825, 7011, 15701, 54047, 123831, 49833, 0};
static int joe_kuo_d6_initial_number14232[] = {1, 1, 7, 13, 27, 9, 111, 57, 357, 95, 1489, 887, 5273, 2833, 8757, 9371, 44637, 94939, 0};
static int joe_kuo_d6_initial_number14233[] = {1, 1, 3, 5, 1, 17, 43, 31, 509, 353, 401, 1077, 7567, 9657, 15065, 32017, 8491, 214477, 0};
static int joe_kuo_d6_initial_number14234[] = {1, 1, 1, 15, 7, 59, 41, 99, 101, 845, 1479, 2153, 4281, 12839, 237, 54095, 125873, 57165, 0};
static int joe_kuo_d6_initial_number14235[] = {1, 3, 7, 13, 5, 17, 1, 249, 309, 351, 709, 3943, 7775, 6449, 26611, 54019, 121015, 213535, 0};
static int joe_kuo_d6_initial_number14236[] = {1, 1, 1, 5, 7, 25, 33, 149, 291, 777, 161, 2729, 117, 4999, 16781, 23383, 85161, 71689, 0};
static int joe_kuo_d6_initial_number14237[] = {1, 1, 3, 11, 5, 63, 119, 165, 45, 135, 1723, 811, 1259, 11055, 28625, 37559, 128401, 100715, 0};
static int joe_kuo_d6_initial_number14238[] = {1, 3, 7, 1, 1, 39, 11, 255, 423, 289, 1359, 2827, 4637, 4089, 26659, 58701, 117403, 133971, 0};
static int joe_kuo_d6_initial_number14239[] = {1, 1, 7, 1, 25, 9, 127, 121, 147, 831, 17, 3521, 1535, 10931, 17305, 56671, 22425, 157341, 0};
static int joe_kuo_d6_initial_number14240[] = {1, 3, 1, 15, 5, 55, 95, 95, 169, 497, 739, 2031, 339, 13461, 20619, 24553, 81805, 90789, 0};
static int joe_kuo_d6_initial_number14241[] = {1, 1, 7, 7, 7, 19, 15, 203, 287, 673, 1033, 3857, 2761, 10835, 11039, 62329, 37893, 6119, 0};
static int joe_kuo_d6_initial_number14242[] = {1, 1, 3, 11, 19, 35, 55, 9, 399, 443, 583, 89, 2387, 747, 9551, 9907, 96871, 175457, 0};
static int joe_kuo_d6_initial_number14243[] = {1, 1, 3, 1, 11, 57, 121, 89, 491, 133, 545, 683, 5751, 839, 25975, 44725, 59863, 142671, 0};
static int joe_kuo_d6_initial_number14244[] = {1, 1, 3, 1, 23, 1, 111, 177, 1, 103, 1933, 2783, 6857, 51, 14547, 5945, 14757, 39783, 0};
static int joe_kuo_d6_initial_number14245[] = {1, 3, 7, 13, 25, 13, 51, 247, 325, 361, 1225, 15, 1929, 1729, 25293, 59495, 82111, 101809, 0};
static int joe_kuo_d6_initial_number14246[] = {1, 3, 3, 1, 19, 37, 67, 85, 105, 589, 1273, 2995, 8017, 1613, 22189, 2549, 22671, 72813, 0};
static int joe_kuo_d6_initial_number14247[] = {1, 3, 7, 9, 15, 41, 25, 43, 411, 663, 387, 2861, 3627, 5839, 733, 53479, 76241, 116763, 0};
static int joe_kuo_d6_initial_number14248[] = {1, 3, 3, 3, 17, 5, 73, 153, 133, 247, 881, 2853, 6059, 2259, 10181, 63251, 107089, 22579, 0};
static int joe_kuo_d6_initial_number14249[] = {1, 3, 1, 5, 11, 15, 17, 235, 23, 15, 521, 235, 4137, 12705, 24775, 18197, 56295, 28035, 0};
static int joe_kuo_d6_initial_number14250[] = {1, 3, 5, 5, 13, 9, 77, 69, 19, 755, 1663, 1499, 1049, 12935, 28835, 55413, 71511, 221223, 0};
static int joe_kuo_d6_initial_number14251[] = {1, 1, 1, 1, 27, 31, 21, 39, 197, 519, 1621, 3703, 2541, 8865, 21947, 53605, 114551, 205697, 0};
static int joe_kuo_d6_initial_number14252[] = {1, 1, 1, 13, 11, 53, 41, 245, 495, 275, 385, 3071, 1913, 11135, 8571, 58551, 39049, 5459, 0};
static int joe_kuo_d6_initial_number14253[] = {1, 3, 5, 5, 11, 63, 25, 173, 57, 441, 1749, 79, 3191, 7733, 13111, 23453, 118399, 101845, 0};
static int joe_kuo_d6_initial_number14254[] = {1, 1, 3, 11, 29, 25, 119, 39, 65, 623, 517, 1325, 5981, 8381, 32031, 25585, 105537, 214241, 0};
static int joe_kuo_d6_initial_number14255[] = {1, 3, 5, 9, 21, 43, 13, 69, 109, 311, 1893, 1941, 2491, 7815, 4067, 56749, 33761, 191145, 0};
static int joe_kuo_d6_initial_number14256[] = {1, 1, 1, 7, 9, 5, 123, 149, 65, 729, 1967, 3089, 3757, 2333, 24587, 36047, 118105, 146277, 0};
static int joe_kuo_d6_initial_number14257[] = {1, 3, 7, 13, 9, 35, 39, 219, 161, 93, 275, 3619, 353, 14595, 24673, 54753, 117175, 81891, 0};
static int joe_kuo_d6_initial_number14258[] = {1, 3, 3, 13, 15, 61, 95, 135, 271, 595, 1103, 877, 747, 2535, 7733, 25509, 65673, 62089, 0};
static int joe_kuo_d6_initial_number14259[] = {1, 3, 3, 5, 21, 21, 67, 5, 373, 377, 61, 2337, 489, 5801, 23203, 42377, 7801, 178095, 0};
static int joe_kuo_d6_initial_number14260[] = {1, 1, 7, 5, 25, 17, 61, 133, 181, 261, 1627, 1615, 6851, 4763, 30353, 53349, 7545, 66733, 0};
static int joe_kuo_d6_initial_number14261[] = {1, 3, 5, 7, 29, 3, 85, 231, 121, 669, 1925, 403, 777, 10605, 24125, 60819, 8253, 81209, 0};
static int joe_kuo_d6_initial_number14262[] = {1, 1, 5, 3, 5, 5, 1, 53, 9, 445, 1339, 2643, 5527, 13757, 9409, 31993, 80845, 97863, 0};
static int joe_kuo_d6_initial_number14263[] = {1, 1, 7, 13, 29, 49, 97, 89, 319, 349, 1739, 3615, 1113, 11791, 17429, 37195, 1159, 32211, 0};
static int joe_kuo_d6_initial_number14264[] = {1, 3, 5, 11, 9, 61, 109, 167, 119, 499, 1157, 3615, 5773, 8839, 27915, 47837, 14945, 187225, 0};
static int joe_kuo_d6_initial_number14265[] = {1, 1, 5, 1, 9, 3, 7, 179, 323, 279, 43, 1337, 4813, 9917, 2033, 34657, 130769, 208089, 0};
static int joe_kuo_d6_initial_number14266[] = {1, 1, 3, 1, 31, 57, 57, 73, 21, 661, 1861, 1661, 7619, 12155, 23123, 49751, 130697, 74143, 0};
static int joe_kuo_d6_initial_number14267[] = {1, 3, 3, 13, 11, 61, 95, 75, 227, 491, 463, 597, 2721, 12323, 26195, 53657, 44413, 68965, 0};
static int joe_kuo_d6_initial_number14268[] = {1, 1, 7, 11, 5, 51, 103, 123, 203, 911, 203, 1641, 7009, 9479, 303, 37649, 32751, 172777, 0};
static int joe_kuo_d6_initial_number14269[] = {1, 1, 3, 7, 11, 59, 111, 5, 271, 863, 269, 3457, 489, 10877, 8645, 62567, 24893, 201587, 0};
static int joe_kuo_d6_initial_number14270[] = {1, 1, 5, 7, 29, 23, 127, 151, 371, 121, 1103, 3951, 3107, 15563, 6243, 1631, 75065, 107681, 0};
static int joe_kuo_d6_initial_number14271[] = {1, 1, 7, 15, 27, 45, 43, 83, 461, 673, 715, 3245, 313, 13731, 21981, 58853, 46569, 165463, 0};
static int joe_kuo_d6_initial_number14272[] = {1, 1, 1, 9, 7, 53, 63, 43, 3, 187, 1325, 447, 5113, 4993, 21807, 24329, 4499, 30067, 0};
static int joe_kuo_d6_initial_number14273[] = {1, 3, 1, 9, 21, 45, 111, 231, 407, 213, 1977, 2269, 2323, 4595, 30427, 54753, 95049, 195409, 0};
static int joe_kuo_d6_initial_number14274[] = {1, 1, 1, 9, 29, 43, 89, 201, 499, 329, 847, 3831, 5403, 13001, 6037, 14371, 25805, 169237, 0};
static int joe_kuo_d6_initial_number14275[] = {1, 1, 1, 11, 29, 61, 61, 203, 91, 189, 1603, 939, 6575, 3195, 4731, 44923, 33627, 21683, 0};
static int joe_kuo_d6_initial_number14276[] = {1, 3, 3, 11, 7, 57, 93, 181, 479, 99, 681, 2875, 7649, 5555, 27087, 6841, 69859, 153689, 0};
static int joe_kuo_d6_initial_number14277[] = {1, 1, 1, 9, 17, 45, 97, 47, 91, 879, 1463, 3041, 2917, 769, 13675, 26489, 88559, 120991, 0};
static int joe_kuo_d6_initial_number14278[] = {1, 3, 7, 1, 11, 13, 43, 9, 483, 399, 793, 3965, 2375, 4957, 17747, 50905, 56987, 231265, 0};
static int joe_kuo_d6_initial_number14279[] = {1, 3, 3, 13, 23, 45, 69, 67, 397, 437, 1993, 2569, 8035, 8531, 27623, 53567, 123189, 242515, 0};
static int joe_kuo_d6_initial_number14280[] = {1, 1, 1, 3, 5, 9, 21, 227, 499, 205, 431, 3711, 5307, 15773, 11337, 6349, 123507, 95941, 0};
static int joe_kuo_d6_initial_number14281[] = {1, 3, 7, 1, 13, 15, 101, 91, 209, 611, 537, 1427, 101, 2619, 10513, 44323, 92745, 249127, 0};
static int joe_kuo_d6_initial_number14282[] = {1, 3, 3, 1, 21, 7, 79, 241, 273, 567, 605, 2371, 5427, 15147, 20139, 40987, 75551, 236213, 0};
static int joe_kuo_d6_initial_number14283[] = {1, 1, 7, 11, 25, 19, 77, 209, 313, 663, 115, 3697, 3641, 12461, 9877, 18331, 70809, 78923, 0};
static int joe_kuo_d6_initial_number14284[] = {1, 1, 5, 5, 29, 45, 7, 207, 1, 357, 1089, 3861, 4161, 3209, 27845, 20947, 68909, 125179, 0};
static int joe_kuo_d6_initial_number14285[] = {1, 3, 1, 13, 17, 11, 27, 165, 179, 489, 1611, 2801, 2385, 2971, 6777, 16149, 59811, 151043, 0};
static int joe_kuo_d6_initial_number14286[] = {1, 1, 3, 3, 17, 53, 121, 227, 7, 71, 1855, 639, 5135, 6349, 7163, 22997, 112551, 44167, 0};
static int joe_kuo_d6_initial_number14287[] = {1, 3, 1, 11, 15, 9, 125, 213, 485, 291, 1781, 3621, 7529, 13353, 13903, 24151, 130253, 187097, 0};
static int joe_kuo_d6_initial_number14288[] = {1, 3, 1, 3, 1, 61, 39, 157, 455, 945, 739, 589, 7259, 7149, 16455, 12649, 72003, 152419, 0};
static int joe_kuo_d6_initial_number14289[] = {1, 1, 3, 3, 31, 23, 17, 255, 319, 907, 563, 2571, 2149, 15323, 20289, 46061, 32769, 184353, 0};
static int joe_kuo_d6_initial_number14290[] = {1, 3, 7, 9, 21, 51, 27, 13, 495, 909, 2039, 1435, 4791, 10037, 30119, 3405, 22535, 42247, 0};
static int joe_kuo_d6_initial_number14291[] = {1, 1, 3, 15, 11, 25, 123, 149, 185, 635, 473, 527, 433, 10373, 18205, 853, 94619, 202507, 0};
static int joe_kuo_d6_initial_number14292[] = {1, 1, 7, 15, 7, 39, 7, 69, 157, 533, 369, 4031, 1335, 4279, 8049, 28491, 103753, 257477, 0};
static int joe_kuo_d6_initial_number14293[] = {1, 3, 1, 15, 29, 51, 113, 77, 5, 961, 1863, 1477, 5009, 9519, 32029, 2367, 55705, 149597, 0};
static int joe_kuo_d6_initial_number14294[] = {1, 3, 1, 5, 19, 43, 49, 107, 59, 693, 867, 3011, 2703, 3633, 24567, 52621, 35839, 134823, 0};
static int joe_kuo_d6_initial_number14295[] = {1, 3, 3, 7, 19, 15, 81, 105, 23, 375, 451, 3017, 1263, 7589, 24453, 21885, 57651, 52613, 0};
static int joe_kuo_d6_initial_number14296[] = {1, 1, 3, 7, 3, 59, 19, 1, 3, 243, 1891, 2041, 4707, 15557, 28885, 5959, 22517, 237131, 0};
static int joe_kuo_d6_initial_number14297[] = {1, 3, 7, 11, 25, 33, 105, 15, 245, 247, 1357, 1255, 7463, 4815, 13727, 41687, 112425, 58827, 0};
static int joe_kuo_d6_initial_number14298[] = {1, 1, 7, 1, 19, 31, 37, 201, 217, 127, 927, 763, 6359, 9951, 2581, 49171, 104305, 215923, 0};
static int joe_kuo_d6_initial_number14299[] = {1, 1, 7, 7, 13, 9, 9, 139, 363, 85, 1703, 3615, 2545, 15991, 20677, 12109, 54951, 2171, 0};
static int joe_kuo_d6_initial_number14300[] = {1, 3, 1, 13, 27, 3, 37, 195, 185, 829, 815, 1621, 2917, 8643, 29071, 45523, 38475, 243505, 0};
static int joe_kuo_d6_initial_number14301[] = {1, 1, 7, 3, 19, 29, 91, 85, 331, 231, 1609, 2583, 1091, 4191, 29929, 55377, 105077, 168425, 0};
static int joe_kuo_d6_initial_number14302[] = {1, 1, 5, 3, 29, 35, 3, 61, 389, 339, 705, 473, 2075, 7373, 9699, 38809, 60415, 66423, 0};
static int joe_kuo_d6_initial_number14303[] = {1, 3, 1, 5, 17, 25, 17, 37, 335, 787, 1891, 1861, 4325, 12721, 9675, 13671, 18655, 235443, 0};
static int joe_kuo_d6_initial_number14304[] = {1, 3, 3, 5, 23, 13, 83, 191, 263, 325, 1847, 1717, 7089, 15709, 26567, 44489, 66523, 3107, 0};
static int joe_kuo_d6_initial_number14305[] = {1, 3, 7, 7, 25, 29, 63, 55, 9, 481, 899, 669, 5481, 11227, 1637, 17017, 124509, 102775, 0};
static int joe_kuo_d6_initial_number14306[] = {1, 1, 1, 5, 21, 41, 101, 93, 129, 1023, 561, 2969, 1525, 2929, 32729, 54513, 4359, 28745, 0};
static int joe_kuo_d6_initial_number14307[] = {1, 1, 5, 13, 15, 13, 79, 9, 257, 535, 861, 2703, 6161, 6659, 10369, 7, 117467, 146651, 0};
static int joe_kuo_d6_initial_number14308[] = {1, 1, 3, 13, 31, 11, 43, 95, 441, 921, 1323, 343, 5339, 13149, 19643, 24253, 32055, 180327, 0};
static int joe_kuo_d6_initial_number14309[] = {1, 1, 5, 15, 11, 27, 109, 149, 255, 1021, 249, 1913, 5213, 301, 9939, 49779, 26097, 66007, 0};
static int joe_kuo_d6_initial_number14310[] = {1, 3, 1, 11, 15, 33, 53, 159, 433, 167, 1107, 3577, 6231, 8309, 28125, 55381, 127309, 14459, 0};
static int joe_kuo_d6_initial_number14311[] = {1, 3, 5, 9, 7, 3, 45, 139, 133, 359, 537, 805, 3931, 5181, 915, 63317, 86227, 231573, 0};
static int joe_kuo_d6_initial_number14312[] = {1, 1, 1, 3, 11, 31, 97, 127, 117, 151, 711, 2457, 2777, 3855, 21829, 7913, 30785, 141449, 0};
static int joe_kuo_d6_initial_number14313[] = {1, 3, 7, 13, 11, 17, 65, 63, 289, 851, 1929, 4021, 105, 5207, 17085, 64119, 48659, 31687, 0};
static int joe_kuo_d6_initial_number14314[] = {1, 1, 7, 11, 31, 57, 63, 251, 341, 727, 505, 1851, 783, 16191, 9335, 39421, 14793, 238215, 0};
static int joe_kuo_d6_initial_number14315[] = {1, 3, 3, 11, 23, 13, 119, 195, 117, 579, 693, 3059, 2967, 12791, 26905, 28527, 13393, 11869, 0};
static int joe_kuo_d6_initial_number14316[] = {1, 3, 7, 11, 23, 7, 61, 143, 409, 309, 651, 3321, 4027, 1351, 10339, 18451, 18447, 235665, 0};
static int joe_kuo_d6_initial_number14317[] = {1, 1, 1, 9, 13, 21, 7, 65, 103, 789, 973, 475, 2831, 13337, 18989, 40573, 105375, 2221, 0};
static int joe_kuo_d6_initial_number14318[] = {1, 3, 5, 15, 3, 59, 115, 61, 365, 653, 523, 3927, 8175, 6751, 32561, 55919, 64903, 139005, 0};
static int joe_kuo_d6_initial_number14319[] = {1, 3, 3, 13, 1, 7, 51, 63, 179, 525, 1899, 373, 3797, 6329, 5539, 32669, 65903, 154993, 0};
static int joe_kuo_d6_initial_number14320[] = {1, 3, 1, 1, 31, 53, 87, 39, 317, 71, 1899, 925, 4719, 11645, 27125, 50391, 116491, 219271, 0};
static int joe_kuo_d6_initial_number14321[] = {1, 3, 7, 13, 7, 23, 1, 57, 333, 277, 893, 3245, 1417, 13115, 21835, 25879, 91305, 54691, 0};
static int joe_kuo_d6_initial_number14322[] = {1, 3, 1, 11, 27, 5, 109, 69, 221, 453, 299, 517, 609, 11959, 27789, 33107, 46559, 121673, 0};
static int joe_kuo_d6_initial_number14323[] = {1, 3, 5, 7, 27, 7, 119, 169, 129, 643, 173, 2479, 6163, 11159, 11897, 57153, 11347, 135337, 0};
static int joe_kuo_d6_initial_number14324[] = {1, 1, 5, 13, 13, 59, 21, 13, 429, 601, 267, 1635, 2579, 12053, 31583, 14847, 78187, 217099, 0};
static int joe_kuo_d6_initial_number14325[] = {1, 3, 5, 9, 5, 3, 125, 159, 411, 15, 479, 933, 6307, 9707, 23491, 6501, 70993, 161365, 0};
static int joe_kuo_d6_initial_number14326[] = {1, 1, 7, 7, 3, 33, 87, 177, 283, 825, 1935, 1545, 7071, 9975, 1795, 48277, 115725, 173439, 0};
static int joe_kuo_d6_initial_number14327[] = {1, 3, 3, 9, 19, 63, 17, 119, 13, 337, 2021, 2221, 3237, 3253, 18661, 15479, 59377, 76095, 0};
static int joe_kuo_d6_initial_number14328[] = {1, 1, 1, 11, 17, 15, 93, 249, 333, 171, 575, 3251, 5413, 3587, 22807, 29273, 56461, 97801, 0};
static int joe_kuo_d6_initial_number14329[] = {1, 3, 3, 11, 13, 7, 27, 167, 389, 693, 1473, 555, 1603, 3167, 3985, 3841, 100283, 195253, 0};
static int joe_kuo_d6_initial_number14330[] = {1, 3, 7, 1, 23, 7, 89, 231, 85, 797, 1935, 2557, 4365, 2221, 21069, 44055, 77723, 226547, 0};
static int joe_kuo_d6_initial_number14331[] = {1, 3, 1, 5, 5, 49, 47, 187, 71, 903, 1279, 3219, 8041, 10915, 5249, 17755, 80077, 3479, 0};
static int joe_kuo_d6_initial_number14332[] = {1, 1, 3, 13, 5, 53, 35, 25, 183, 791, 1651, 1041, 1221, 2171, 26221, 20649, 126851, 163047, 0};
static int joe_kuo_d6_initial_number14333[] = {1, 1, 5, 9, 29, 3, 75, 31, 385, 293, 171, 3023, 2075, 14541, 30879, 13895, 67637, 87831, 0};
static int joe_kuo_d6_initial_number14334[] = {1, 3, 5, 7, 3, 41, 115, 213, 23, 895, 361, 27, 5839, 12447, 13829, 29183, 106539, 134891, 0};
static int joe_kuo_d6_initial_number14335[] = {1, 3, 7, 7, 11, 39, 99, 229, 195, 633, 837, 3697, 1161, 15119, 20831, 27371, 92195, 26993, 0};
static int joe_kuo_d6_initial_number14336[] = {1, 1, 5, 9, 25, 17, 5, 169, 475, 73, 1451, 2057, 3671, 12801, 9671, 57427, 25321, 154969, 0};
static int joe_kuo_d6_initial_number14337[] = {1, 3, 5, 11, 25, 23, 9, 145, 341, 339, 1855, 981, 8041, 569, 19851, 29521, 21767, 136505, 0};
static int joe_kuo_d6_initial_number14338[] = {1, 1, 1, 1, 3, 9, 101, 253, 475, 529, 387, 1893, 5509, 5763, 29555, 13307, 30001, 105057, 0};
static int joe_kuo_d6_initial_number14339[] = {1, 3, 3, 5, 17, 23, 127, 161, 375, 817, 1229, 1197, 1097, 3053, 14351, 21213, 12501, 137397, 0};
static int joe_kuo_d6_initial_number14340[] = {1, 1, 1, 9, 7, 1, 57, 185, 281, 65, 181, 2483, 4739, 4353, 29837, 40613, 32489, 23317, 0};
static int joe_kuo_d6_initial_number14341[] = {1, 1, 3, 9, 5, 35, 43, 191, 409, 95, 537, 2465, 515, 1633, 20887, 32535, 43863, 199885, 0};
static int joe_kuo_d6_initial_number14342[] = {1, 3, 3, 13, 19, 49, 41, 51, 3, 979, 1623, 3323, 7711, 3707, 29417, 58011, 114467, 227499, 0};
static int joe_kuo_d6_initial_number14343[] = {1, 1, 1, 11, 21, 7, 23, 51, 39, 25, 1971, 213, 369, 9149, 12845, 57631, 16597, 22031, 0};
static int joe_kuo_d6_initial_number14344[] = {1, 3, 3, 11, 27, 59, 71, 37, 461, 353, 2041, 1961, 4643, 6953, 18129, 60337, 82769, 20819, 0};
static int joe_kuo_d6_initial_number14345[] = {1, 1, 3, 11, 25, 19, 17, 5, 503, 227, 2021, 733, 2867, 201, 25779, 49811, 81167, 95437, 0};
static int joe_kuo_d6_initial_number14346[] = {1, 3, 3, 15, 7, 53, 35, 143, 27, 937, 215, 3249, 4151, 1933, 25267, 18047, 35131, 25903, 0};
static int joe_kuo_d6_initial_number14347[] = {1, 1, 1, 3, 3, 39, 71, 99, 291, 97, 1389, 3803, 2881, 9765, 11277, 20071, 15133, 37349, 0};
static int joe_kuo_d6_initial_number14348[] = {1, 1, 7, 11, 9, 55, 1, 241, 391, 935, 1555, 3585, 1807, 10057, 2633, 14023, 14409, 199643, 0};
static int joe_kuo_d6_initial_number14349[] = {1, 3, 3, 3, 19, 9, 57, 237, 107, 869, 147, 2673, 5271, 8999, 20723, 63017, 75989, 20131, 0};
static int joe_kuo_d6_initial_number14350[] = {1, 3, 3, 3, 25, 11, 61, 77, 119, 657, 2011, 3489, 7835, 4473, 2531, 65231, 104797, 161443, 0};
static int joe_kuo_d6_initial_number14351[] = {1, 1, 5, 5, 11, 63, 25, 93, 181, 797, 367, 3357, 5291, 5087, 28661, 34093, 75195, 165345, 0};
static int joe_kuo_d6_initial_number14352[] = {1, 1, 1, 7, 17, 1, 77, 149, 59, 633, 1551, 1305, 7677, 8671, 17457, 64037, 104451, 112387, 0};
static int joe_kuo_d6_initial_number14353[] = {1, 3, 1, 1, 15, 33, 37, 187, 247, 261, 1101, 3451, 7747, 12197, 22465, 30589, 12573, 204517, 0};
static int joe_kuo_d6_initial_number14354[] = {1, 3, 3, 11, 3, 39, 71, 139, 145, 139, 101, 2815, 3457, 14033, 4531, 42133, 54147, 71259, 0};
static int joe_kuo_d6_initial_number14355[] = {1, 3, 1, 1, 23, 37, 19, 113, 443, 57, 439, 2929, 3835, 5431, 11189, 4539, 72531, 124453, 0};
static int joe_kuo_d6_initial_number14356[] = {1, 3, 3, 5, 3, 17, 21, 217, 41, 665, 1565, 3753, 5289, 9789, 29205, 16453, 88979, 171387, 0};
static int joe_kuo_d6_initial_number14357[] = {1, 3, 3, 13, 27, 15, 15, 223, 231, 311, 311, 1143, 8113, 13863, 3191, 51103, 109437, 245557, 0};
static int joe_kuo_d6_initial_number14358[] = {1, 1, 3, 13, 11, 59, 7, 191, 477, 683, 353, 2845, 7623, 9035, 453, 48429, 40111, 162859, 0};
static int joe_kuo_d6_initial_number14359[] = {1, 3, 7, 5, 29, 37, 55, 59, 259, 851, 861, 1951, 7847, 8537, 30107, 2999, 59137, 155615, 0};
static int joe_kuo_d6_initial_number14360[] = {1, 3, 7, 11, 3, 13, 73, 147, 393, 327, 1289, 37, 795, 1413, 19215, 28345, 124301, 23135, 0};
static int joe_kuo_d6_initial_number14361[] = {1, 1, 5, 11, 29, 17, 107, 69, 433, 845, 1351, 2551, 807, 15315, 15511, 39475, 84879, 129405, 0};
static int joe_kuo_d6_initial_number14362[] = {1, 3, 3, 9, 15, 3, 23, 5, 211, 871, 689, 2319, 39, 2215, 25171, 43169, 113715, 186049, 0};
static int joe_kuo_d6_initial_number14363[] = {1, 1, 3, 7, 3, 37, 23, 9, 453, 649, 373, 1273, 1539, 6221, 27469, 44675, 13513, 131179, 0};
static int joe_kuo_d6_initial_number14364[] = {1, 3, 1, 5, 29, 41, 119, 133, 37, 761, 1193, 2311, 4945, 7337, 17027, 12873, 51489, 160633, 0};
static int joe_kuo_d6_initial_number14365[] = {1, 3, 1, 3, 21, 63, 75, 115, 105, 223, 933, 445, 5789, 4611, 13609, 2873, 16679, 222895, 0};
static int joe_kuo_d6_initial_number14366[] = {1, 1, 7, 5, 17, 13, 15, 217, 193, 863, 1319, 2337, 3055, 14879, 8669, 5705, 42965, 166443, 0};
static int joe_kuo_d6_initial_number14367[] = {1, 1, 7, 11, 3, 55, 57, 131, 289, 843, 1693, 881, 6737, 5557, 18365, 12393, 38479, 189177, 0};
static int joe_kuo_d6_initial_number14368[] = {1, 1, 3, 5, 3, 59, 13, 123, 397, 479, 79, 569, 535, 2529, 26225, 43475, 76925, 187763, 0};
static int joe_kuo_d6_initial_number14369[] = {1, 1, 5, 15, 15, 37, 1, 97, 489, 331, 1499, 1759, 3621, 5373, 1425, 6477, 45805, 235511, 0};
static int joe_kuo_d6_initial_number14370[] = {1, 3, 1, 3, 7, 51, 55, 157, 61, 751, 1881, 4093, 2557, 11129, 23239, 16335, 8949, 205007, 0};
static int joe_kuo_d6_initial_number14371[] = {1, 1, 1, 1, 13, 21, 67, 141, 85, 1023, 223, 747, 1951, 10279, 6399, 49887, 100437, 76757, 0};
static int joe_kuo_d6_initial_number14372[] = {1, 1, 3, 11, 1, 51, 29, 33, 173, 769, 879, 2883, 417, 15031, 13377, 63919, 118803, 87969, 0};
static int joe_kuo_d6_initial_number14373[] = {1, 1, 1, 5, 1, 1, 17, 153, 81, 691, 961, 3399, 5005, 10617, 18467, 13775, 34905, 241349, 0};
static int joe_kuo_d6_initial_number14374[] = {1, 1, 1, 13, 7, 37, 57, 187, 389, 575, 1827, 2017, 4541, 10513, 23409, 30945, 126855, 239657, 0};
static int joe_kuo_d6_initial_number14375[] = {1, 1, 5, 5, 17, 41, 83, 177, 285, 695, 29, 1653, 953, 6377, 13571, 58663, 9265, 100759, 0};
static int joe_kuo_d6_initial_number14376[] = {1, 3, 5, 3, 5, 13, 27, 153, 207, 699, 1805, 947, 979, 2719, 389, 61953, 16991, 160073, 0};
static int joe_kuo_d6_initial_number14377[] = {1, 1, 7, 13, 17, 37, 113, 185, 239, 455, 1557, 3201, 1111, 4875, 23197, 41883, 70507, 255047, 0};
static int joe_kuo_d6_initial_number14378[] = {1, 3, 5, 11, 9, 51, 47, 137, 413, 1015, 259, 1829, 6043, 11757, 22317, 15155, 107827, 171003, 0};
static int joe_kuo_d6_initial_number14379[] = {1, 1, 1, 13, 27, 7, 49, 91, 285, 13, 2007, 3469, 1223, 2483, 16155, 8413, 10529, 224195, 0};
static int joe_kuo_d6_initial_number14380[] = {1, 1, 7, 3, 9, 49, 119, 81, 331, 187, 1695, 1729, 533, 6359, 7053, 34665, 37541, 100225, 0};
static int joe_kuo_d6_initial_number14381[] = {1, 3, 7, 1, 7, 35, 115, 91, 479, 515, 1249, 121, 2885, 16383, 1777, 44205, 86459, 255885, 0};
static int joe_kuo_d6_initial_number14382[] = {1, 1, 7, 13, 13, 27, 11, 49, 221, 829, 1787, 2889, 3875, 1679, 25333, 1323, 9813, 189373, 0};
static int joe_kuo_d6_initial_number14383[] = {1, 3, 7, 5, 31, 5, 117, 77, 209, 619, 191, 2969, 2221, 15339, 11461, 64201, 130461, 204467, 0};
static int joe_kuo_d6_initial_number14384[] = {1, 3, 1, 1, 29, 5, 91, 31, 313, 901, 1501, 2837, 3615, 7765, 341, 13873, 21663, 260637, 0};
static int joe_kuo_d6_initial_number14385[] = {1, 1, 1, 9, 1, 41, 97, 15, 141, 901, 1309, 3341, 4871, 16033, 12343, 1555, 94989, 78295, 0};
static int joe_kuo_d6_initial_number14386[] = {1, 1, 7, 3, 3, 15, 1, 29, 445, 59, 475, 3033, 4227, 3219, 6093, 58953, 92179, 49343, 0};
static int joe_kuo_d6_initial_number14387[] = {1, 1, 5, 3, 27, 25, 109, 13, 219, 983, 131, 2517, 1161, 16063, 32737, 6077, 91183, 37457, 0};
static int joe_kuo_d6_initial_number14388[] = {1, 3, 3, 1, 3, 1, 85, 147, 17, 543, 1475, 3873, 3719, 2737, 30977, 15953, 66077, 258979, 0};
static int joe_kuo_d6_initial_number14389[] = {1, 3, 5, 1, 29, 9, 21, 51, 5, 985, 1177, 3287, 2183, 7301, 13713, 53403, 38439, 195863, 0};
static int joe_kuo_d6_initial_number14390[] = {1, 1, 7, 15, 31, 53, 47, 173, 477, 439, 751, 1019, 3371, 9319, 17995, 29029, 90657, 209277, 0};
static int joe_kuo_d6_initial_number14391[] = {1, 1, 5, 5, 17, 5, 59, 115, 375, 231, 1891, 1321, 3639, 16117, 32639, 28793, 68213, 41091, 0};
static int joe_kuo_d6_initial_number14392[] = {1, 3, 5, 11, 17, 15, 13, 11, 459, 767, 849, 1407, 6611, 6409, 21515, 63175, 127155, 171959, 0};
static int joe_kuo_d6_initial_number14393[] = {1, 1, 5, 1, 17, 49, 61, 161, 399, 137, 845, 2673, 2431, 15343, 389, 42337, 23031, 94811, 0};
static int joe_kuo_d6_initial_number14394[] = {1, 1, 1, 9, 21, 23, 75, 177, 351, 197, 1619, 2443, 6829, 3773, 16399, 31949, 44975, 221363, 0};
static int joe_kuo_d6_initial_number14395[] = {1, 1, 3, 1, 11, 19, 103, 61, 135, 863, 1427, 2657, 4553, 1277, 20249, 3973, 25467, 18847, 0};
static int joe_kuo_d6_initial_number14396[] = {1, 3, 3, 13, 17, 31, 19, 163, 323, 195, 603, 4069, 3181, 12069, 22117, 44229, 23585, 202785, 0};
static int joe_kuo_d6_initial_number14397[] = {1, 1, 7, 5, 17, 3, 77, 111, 491, 829, 1375, 2829, 5599, 14057, 21387, 52345, 108281, 211285, 0};
static int joe_kuo_d6_initial_number14398[] = {1, 3, 3, 1, 17, 43, 71, 13, 321, 393, 1803, 727, 5101, 13485, 8693, 60505, 13893, 3467, 0};
static int joe_kuo_d6_initial_number14399[] = {1, 1, 5, 1, 23, 31, 121, 15, 215, 215, 1113, 3335, 7431, 4863, 31429, 49903, 59403, 60797, 0};
static int joe_kuo_d6_initial_number14400[] = {1, 3, 3, 9, 21, 43, 61, 171, 361, 323, 1895, 3647, 729, 8809, 9351, 14573, 93593, 17485, 0};
static int joe_kuo_d6_initial_number14401[] = {1, 3, 3, 7, 7, 19, 45, 247, 203, 757, 1941, 3753, 5317, 13239, 18945, 26173, 43929, 66889, 0};
static int joe_kuo_d6_initial_number14402[] = {1, 1, 1, 15, 5, 17, 11, 21, 193, 941, 517, 191, 6067, 8403, 27339, 31035, 34767, 28675, 0};
static int joe_kuo_d6_initial_number14403[] = {1, 3, 1, 7, 27, 59, 27, 7, 491, 551, 867, 3693, 391, 9799, 11051, 28347, 57555, 23079, 0};
static int joe_kuo_d6_initial_number14404[] = {1, 3, 3, 1, 25, 21, 63, 253, 459, 603, 107, 1229, 1433, 4263, 24341, 20493, 40165, 254725, 0};
static int joe_kuo_d6_initial_number14405[] = {1, 3, 5, 3, 9, 7, 63, 195, 19, 973, 47, 811, 2207, 3613, 8911, 17495, 62403, 77951, 0};
static int joe_kuo_d6_initial_number14406[] = {1, 3, 5, 11, 5, 13, 83, 125, 467, 111, 1819, 3807, 4259, 2885, 29577, 13539, 69859, 97379, 0};
static int joe_kuo_d6_initial_number14407[] = {1, 1, 5, 15, 5, 33, 109, 203, 129, 587, 9, 3025, 2839, 11405, 11257, 7779, 30311, 14015, 0};
static int joe_kuo_d6_initial_number14408[] = {1, 1, 7, 15, 5, 47, 103, 199, 391, 61, 129, 3511, 1295, 15067, 23919, 2941, 120463, 21665, 0};
static int joe_kuo_d6_initial_number14409[] = {1, 1, 5, 5, 7, 7, 125, 153, 365, 815, 1423, 4053, 875, 2405, 21291, 26785, 31371, 211045, 0};
static int joe_kuo_d6_initial_number14410[] = {1, 3, 3, 9, 31, 47, 1, 247, 197, 1019, 985, 2277, 875, 3969, 15093, 15561, 110101, 156547, 0};
static int joe_kuo_d6_initial_number14411[] = {1, 1, 3, 1, 9, 47, 71, 125, 17, 501, 1783, 2337, 483, 12719, 22453, 16701, 102639, 152955, 0};
static int joe_kuo_d6_initial_number14412[] = {1, 1, 3, 11, 13, 31, 9, 63, 261, 257, 319, 1443, 5011, 9799, 18639, 53081, 56879, 102335, 0};
static int joe_kuo_d6_initial_number14413[] = {1, 3, 3, 1, 5, 59, 127, 163, 323, 997, 1755, 1445, 2285, 4935, 22123, 815, 115131, 1009, 0};
static int joe_kuo_d6_initial_number14414[] = {1, 1, 3, 11, 11, 43, 65, 127, 137, 583, 173, 2601, 5809, 15773, 16129, 2543, 68281, 96107, 0};
static int joe_kuo_d6_initial_number14415[] = {1, 3, 5, 9, 25, 25, 95, 73, 313, 893, 1805, 2301, 5917, 15159, 8637, 25505, 66053, 31627, 0};
static int joe_kuo_d6_initial_number14416[] = {1, 1, 3, 7, 25, 59, 55, 13, 297, 849, 187, 359, 3745, 12655, 29293, 58581, 89799, 195867, 0};
static int joe_kuo_d6_initial_number14417[] = {1, 1, 5, 13, 19, 5, 51, 85, 259, 59, 1003, 2991, 6605, 8405, 5221, 45607, 130729, 99641, 0};
static int joe_kuo_d6_initial_number14418[] = {1, 3, 5, 5, 25, 61, 51, 211, 143, 233, 1465, 1165, 1769, 3021, 9491, 30335, 34787, 142605, 0};
static int joe_kuo_d6_initial_number14419[] = {1, 3, 5, 13, 23, 9, 89, 249, 71, 179, 841, 3375, 21, 6757, 27495, 7531, 123725, 253855, 0};
static int joe_kuo_d6_initial_number14420[] = {1, 3, 7, 13, 9, 33, 109, 103, 475, 781, 493, 2079, 6529, 13443, 2181, 26925, 31345, 142863, 0};
static int joe_kuo_d6_initial_number14421[] = {1, 1, 7, 9, 15, 41, 17, 85, 503, 839, 533, 731, 2735, 12949, 11395, 22539, 130147, 40045, 0};
static int joe_kuo_d6_initial_number14422[] = {1, 1, 5, 9, 25, 21, 29, 79, 405, 383, 1271, 385, 7629, 3889, 5319, 57739, 51411, 50895, 0};
static int joe_kuo_d6_initial_number14423[] = {1, 3, 7, 5, 13, 35, 17, 97, 261, 437, 951, 1403, 2407, 11447, 13565, 10165, 100001, 253093, 0};
static int joe_kuo_d6_initial_number14424[] = {1, 3, 1, 3, 11, 39, 31, 187, 473, 565, 351, 4007, 2621, 14463, 9009, 40679, 81069, 51131, 0};
static int joe_kuo_d6_initial_number14425[] = {1, 3, 5, 5, 9, 17, 11, 151, 59, 249, 281, 203, 6423, 4977, 18557, 65383, 88361, 87437, 0};
static int joe_kuo_d6_initial_number14426[] = {1, 3, 5, 7, 15, 25, 3, 157, 179, 439, 1627, 3493, 6641, 6403, 2361, 3613, 33817, 22585, 0};
static int joe_kuo_d6_initial_number14427[] = {1, 3, 5, 1, 13, 63, 77, 195, 233, 175, 631, 1021, 637, 13231, 26187, 131, 127379, 256183, 0};
static int joe_kuo_d6_initial_number14428[] = {1, 1, 7, 9, 5, 13, 15, 187, 55, 37, 1113, 2191, 3439, 1073, 26239, 3049, 19807, 250869, 0};
static int joe_kuo_d6_initial_number14429[] = {1, 1, 7, 3, 13, 15, 77, 47, 317, 285, 753, 2419, 7795, 11423, 6043, 2913, 42819, 50603, 0};
static int joe_kuo_d6_initial_number14430[] = {1, 3, 7, 15, 21, 17, 63, 71, 97, 535, 1085, 1531, 5165, 13717, 1537, 26797, 111787, 189403, 0};
static int joe_kuo_d6_initial_number14431[] = {1, 1, 1, 7, 9, 3, 43, 209, 385, 851, 1411, 4039, 3259, 13387, 24505, 33325, 83741, 241255, 0};
static int joe_kuo_d6_initial_number14432[] = {1, 1, 1, 1, 3, 41, 13, 43, 303, 445, 1097, 3517, 7753, 8459, 3017, 16385, 13775, 248655, 0};
static int joe_kuo_d6_initial_number14433[] = {1, 3, 5, 15, 5, 61, 31, 57, 269, 931, 1071, 1137, 6181, 13005, 18493, 1345, 105203, 117309, 0};
static int joe_kuo_d6_initial_number14434[] = {1, 1, 3, 13, 21, 29, 3, 179, 367, 155, 993, 117, 5849, 10181, 1175, 55769, 16025, 67669, 0};
static int joe_kuo_d6_initial_number14435[] = {1, 1, 3, 9, 11, 9, 33, 131, 181, 1003, 253, 2759, 1877, 11851, 22959, 37823, 82737, 110329, 0};
static int joe_kuo_d6_initial_number14436[] = {1, 1, 1, 5, 7, 5, 107, 191, 385, 129, 567, 2585, 7295, 3005, 28185, 7095, 54851, 257587, 0};
static int joe_kuo_d6_initial_number14437[] = {1, 3, 7, 9, 21, 61, 103, 155, 503, 307, 993, 683, 1491, 14895, 9213, 34535, 17765, 12457, 0};
static int joe_kuo_d6_initial_number14438[] = {1, 3, 3, 1, 7, 47, 27, 173, 97, 889, 853, 3995, 4943, 71, 20479, 16741, 35479, 35307, 0};
static int joe_kuo_d6_initial_number14439[] = {1, 1, 5, 3, 15, 35, 29, 207, 117, 267, 1835, 2565, 1199, 3813, 13999, 10537, 129915, 210651, 0};
static int joe_kuo_d6_initial_number14440[] = {1, 3, 3, 13, 5, 57, 77, 193, 11, 279, 745, 2511, 5775, 13527, 26329, 16303, 111511, 70025, 0};
static int joe_kuo_d6_initial_number14441[] = {1, 3, 7, 9, 17, 1, 73, 1, 125, 939, 863, 2763, 1951, 3191, 5567, 59729, 32149, 149417, 0};
static int joe_kuo_d6_initial_number14442[] = {1, 3, 3, 1, 19, 25, 119, 63, 101, 33, 77, 3587, 6367, 8275, 24957, 32087, 7031, 217291, 0};
static int joe_kuo_d6_initial_number14443[] = {1, 1, 1, 13, 7, 25, 75, 161, 143, 353, 973, 2957, 749, 13519, 11295, 34287, 60727, 83731, 0};
static int joe_kuo_d6_initial_number14444[] = {1, 3, 7, 7, 17, 9, 59, 45, 97, 619, 895, 1955, 8143, 2507, 4673, 39425, 35679, 152069, 0};
static int joe_kuo_d6_initial_number14445[] = {1, 1, 5, 9, 31, 19, 115, 177, 349, 877, 525, 305, 2187, 12195, 13529, 61641, 102293, 69941, 0};
static int joe_kuo_d6_initial_number14446[] = {1, 3, 7, 11, 23, 59, 15, 243, 511, 465, 905, 1979, 2263, 2105, 9009, 3691, 22241, 97765, 0};
static int joe_kuo_d6_initial_number14447[] = {1, 1, 7, 9, 29, 13, 3, 207, 51, 405, 1703, 1923, 1781, 14723, 8103, 10707, 64799, 99349, 0};
static int joe_kuo_d6_initial_number14448[] = {1, 1, 7, 5, 23, 29, 51, 63, 489, 273, 1577, 2807, 5427, 9949, 1929, 19791, 109405, 241465, 0};
static int joe_kuo_d6_initial_number14449[] = {1, 3, 3, 7, 29, 61, 103, 55, 29, 17, 1081, 21, 5791, 9803, 19385, 45091, 118069, 61383, 0};
static int joe_kuo_d6_initial_number14450[] = {1, 3, 1, 7, 3, 15, 75, 47, 475, 87, 1541, 3933, 1081, 12361, 29213, 64333, 7229, 226909, 0};
static int joe_kuo_d6_initial_number14451[] = {1, 1, 5, 7, 21, 45, 19, 137, 351, 229, 1773, 1829, 5025, 12661, 18745, 54917, 10419, 176667, 0};
static int joe_kuo_d6_initial_number14452[] = {1, 1, 1, 3, 9, 37, 81, 25, 11, 327, 1653, 2751, 2823, 12575, 30287, 46265, 17299, 93595, 0};
static int joe_kuo_d6_initial_number14453[] = {1, 1, 1, 3, 15, 17, 43, 163, 223, 731, 631, 2813, 1723, 6089, 14245, 64339, 114291, 40331, 0};
static int joe_kuo_d6_initial_number14454[] = {1, 3, 7, 5, 21, 45, 41, 17, 495, 61, 1369, 369, 4493, 12071, 3813, 41455, 62561, 174399, 0};
static int joe_kuo_d6_initial_number14455[] = {1, 1, 1, 5, 9, 41, 95, 113, 109, 519, 1683, 2265, 2875, 12649, 15575, 53511, 100707, 224035, 0};
static int joe_kuo_d6_initial_number14456[] = {1, 3, 7, 9, 29, 7, 109, 109, 283, 111, 1167, 3679, 369, 11597, 19459, 759, 128667, 172427, 0};
static int joe_kuo_d6_initial_number14457[] = {1, 1, 1, 3, 13, 31, 97, 31, 477, 507, 835, 465, 7501, 2485, 19485, 51055, 56363, 229341, 0};
static int joe_kuo_d6_initial_number14458[] = {1, 3, 5, 11, 3, 23, 67, 173, 99, 963, 977, 1949, 1263, 2427, 15181, 23571, 23509, 26481, 0};
static int joe_kuo_d6_initial_number14459[] = {1, 3, 3, 1, 29, 3, 35, 191, 197, 277, 397, 205, 5945, 1069, 31789, 3551, 101901, 222609, 0};
static int joe_kuo_d6_initial_number14460[] = {1, 1, 5, 9, 11, 23, 109, 81, 295, 7, 755, 2345, 2823, 11133, 22623, 14515, 57059, 231099, 0};
static int joe_kuo_d6_initial_number14461[] = {1, 3, 1, 3, 21, 29, 37, 71, 111, 737, 1881, 871, 5843, 5889, 14615, 49909, 7105, 48335, 0};
static int joe_kuo_d6_initial_number14462[] = {1, 3, 1, 15, 23, 31, 87, 181, 483, 225, 2003, 365, 1569, 11153, 14673, 30085, 56497, 203723, 0};
static int joe_kuo_d6_initial_number14463[] = {1, 1, 3, 15, 17, 47, 99, 167, 485, 431, 1481, 2225, 1537, 8513, 19407, 34165, 27289, 84393, 0};
static int joe_kuo_d6_initial_number14464[] = {1, 3, 7, 3, 11, 17, 115, 205, 403, 831, 1869, 3623, 5215, 15511, 11297, 25181, 127491, 155887, 0};
static int joe_kuo_d6_initial_number14465[] = {1, 1, 7, 5, 31, 37, 23, 21, 403, 529, 1185, 3363, 6319, 2435, 2687, 39407, 121891, 133047, 0};
static int joe_kuo_d6_initial_number14466[] = {1, 3, 7, 1, 21, 31, 43, 61, 371, 987, 1783, 3811, 6227, 13199, 31799, 28863, 49329, 73947, 0};
static int joe_kuo_d6_initial_number14467[] = {1, 3, 1, 1, 13, 1, 5, 99, 35, 793, 483, 2573, 2249, 6345, 12793, 61917, 49419, 58011, 0};
static int joe_kuo_d6_initial_number14468[] = {1, 3, 1, 15, 3, 45, 35, 189, 67, 447, 1455, 3575, 8191, 7907, 21559, 38211, 26945, 240679, 0};
static int joe_kuo_d6_initial_number14469[] = {1, 1, 3, 11, 27, 49, 9, 109, 93, 473, 1465, 271, 7389, 47, 8101, 6219, 17437, 220461, 0};
static int joe_kuo_d6_initial_number14470[] = {1, 1, 7, 3, 23, 31, 75, 61, 375, 901, 1329, 2603, 3469, 12957, 23949, 62183, 126763, 68965, 0};
static int joe_kuo_d6_initial_number14471[] = {1, 1, 7, 9, 13, 59, 75, 233, 339, 29, 1117, 1693, 593, 15317, 29753, 3079, 43583, 79939, 0};
static int joe_kuo_d6_initial_number14472[] = {1, 1, 5, 1, 17, 57, 81, 123, 101, 765, 1941, 3143, 7403, 9105, 23197, 28983, 128059, 5931, 0};
static int joe_kuo_d6_initial_number14473[] = {1, 3, 5, 11, 19, 31, 89, 165, 213, 251, 965, 3203, 1621, 4323, 26877, 17109, 18321, 162413, 0};
static int joe_kuo_d6_initial_number14474[] = {1, 3, 3, 9, 11, 59, 123, 213, 335, 267, 1767, 3317, 5189, 10149, 27921, 19331, 71541, 170501, 0};
static int joe_kuo_d6_initial_number14475[] = {1, 3, 3, 15, 3, 3, 115, 235, 305, 219, 265, 1535, 4925, 5597, 20857, 32381, 117237, 197533, 0};
static int joe_kuo_d6_initial_number14476[] = {1, 3, 5, 13, 13, 59, 93, 85, 419, 337, 513, 2131, 5665, 12229, 1389, 34355, 65485, 81141, 0};
static int joe_kuo_d6_initial_number14477[] = {1, 3, 7, 7, 11, 59, 111, 219, 293, 289, 325, 623, 3853, 3775, 14771, 5945, 119451, 162861, 0};
static int joe_kuo_d6_initial_number14478[] = {1, 3, 1, 11, 19, 33, 119, 239, 431, 803, 1119, 2445, 3203, 7219, 31963, 34519, 104953, 254491, 0};
static int joe_kuo_d6_initial_number14479[] = {1, 3, 7, 9, 21, 53, 21, 115, 365, 419, 11, 3803, 4283, 417, 8937, 64533, 56433, 166025, 0};
static int joe_kuo_d6_initial_number14480[] = {1, 1, 7, 3, 17, 5, 99, 143, 485, 309, 1255, 2641, 3427, 1681, 3301, 64531, 38629, 20945, 0};
static int joe_kuo_d6_initial_number14481[] = {1, 1, 5, 1, 31, 3, 115, 217, 451, 5, 1447, 2317, 1725, 12931, 25799, 23569, 51747, 28821, 0};
static int joe_kuo_d6_initial_number14482[] = {1, 3, 7, 3, 31, 55, 109, 107, 211, 381, 1067, 3973, 5007, 8939, 8605, 55221, 124603, 47115, 0};
static int joe_kuo_d6_initial_number14483[] = {1, 1, 1, 11, 19, 13, 99, 241, 103, 711, 1823, 2671, 653, 10217, 14195, 39735, 54807, 105599, 0};
static int joe_kuo_d6_initial_number14484[] = {1, 3, 3, 7, 9, 33, 43, 131, 493, 141, 827, 2909, 2847, 12879, 7879, 6263, 25981, 57323, 0};
static int joe_kuo_d6_initial_number14485[] = {1, 1, 1, 1, 1, 41, 55, 175, 479, 725, 157, 3403, 5809, 10685, 20433, 21729, 9493, 205685, 0};
static int joe_kuo_d6_initial_number14486[] = {1, 1, 7, 5, 1, 33, 31, 245, 109, 711, 1047, 941, 449, 1055, 16249, 45211, 48311, 171339, 0};
static int joe_kuo_d6_initial_number14487[] = {1, 3, 3, 9, 27, 9, 113, 69, 269, 643, 1371, 3521, 4969, 5373, 11133, 63109, 42725, 126969, 0};
static int joe_kuo_d6_initial_number14488[] = {1, 1, 5, 15, 9, 21, 1, 195, 421, 429, 1103, 2727, 463, 9801, 8955, 62841, 94687, 114509, 0};
static int joe_kuo_d6_initial_number14489[] = {1, 1, 5, 5, 5, 47, 9, 221, 59, 115, 359, 1147, 749, 1009, 23129, 641, 39471, 23073, 0};
static int joe_kuo_d6_initial_number14490[] = {1, 3, 5, 13, 27, 29, 19, 3, 121, 773, 625, 2757, 6377, 15867, 14563, 40391, 4351, 21153, 0};
static int joe_kuo_d6_initial_number14491[] = {1, 1, 5, 9, 11, 25, 51, 101, 273, 541, 1761, 593, 7111, 4369, 30095, 34867, 103989, 19855, 0};
static int joe_kuo_d6_initial_number14492[] = {1, 1, 3, 13, 27, 55, 79, 115, 105, 855, 627, 2227, 2927, 8757, 8713, 54607, 43671, 130153, 0};
static int joe_kuo_d6_initial_number14493[] = {1, 1, 3, 5, 7, 45, 21, 71, 157, 773, 1265, 841, 2463, 2217, 6087, 28683, 21251, 72377, 0};
static int joe_kuo_d6_initial_number14494[] = {1, 1, 3, 1, 15, 11, 117, 211, 223, 713, 545, 907, 6907, 41, 17039, 23079, 86657, 5765, 0};
static int joe_kuo_d6_initial_number14495[] = {1, 1, 5, 3, 27, 33, 77, 137, 401, 585, 911, 1189, 2749, 3427, 2701, 2453, 84857, 176585, 0};
static int joe_kuo_d6_initial_number14496[] = {1, 1, 1, 3, 7, 39, 73, 143, 29, 569, 939, 301, 7827, 7691, 11513, 64517, 113679, 234165, 0};
static int joe_kuo_d6_initial_number14497[] = {1, 3, 1, 11, 29, 57, 127, 181, 175, 973, 1537, 761, 5205, 13641, 32649, 8621, 77509, 261235, 0};
static int joe_kuo_d6_initial_number14498[] = {1, 3, 5, 5, 13, 19, 117, 225, 477, 297, 1807, 2357, 5653, 3791, 6325, 54877, 120659, 91013, 0};
static int joe_kuo_d6_initial_number14499[] = {1, 3, 1, 1, 3, 55, 19, 99, 321, 877, 541, 511, 141, 15047, 26377, 9, 2765, 223533, 0};
static int joe_kuo_d6_initial_number14500[] = {1, 1, 1, 11, 13, 59, 121, 147, 215, 117, 1047, 3055, 2129, 15191, 14425, 28327, 108541, 114275, 0};
static int joe_kuo_d6_initial_number14501[] = {1, 1, 1, 15, 3, 21, 105, 61, 501, 899, 195, 2745, 5989, 4433, 19525, 35477, 22997, 241657, 0};
static int joe_kuo_d6_initial_number14502[] = {1, 1, 3, 5, 19, 47, 77, 247, 413, 317, 1255, 2087, 4493, 2211, 9003, 22145, 94001, 50579, 0};
static int joe_kuo_d6_initial_number14503[] = {1, 3, 7, 11, 31, 47, 25, 191, 65, 409, 1349, 2481, 7619, 223, 18051, 63609, 77187, 75483, 0};
static int joe_kuo_d6_initial_number14504[] = {1, 1, 1, 9, 21, 59, 115, 251, 401, 91, 627, 3273, 2393, 2949, 11475, 23669, 16171, 77507, 0};
static int joe_kuo_d6_initial_number14505[] = {1, 3, 5, 1, 19, 7, 65, 253, 217, 493, 227, 3269, 4261, 2295, 32037, 5773, 12925, 41821, 0};
static int joe_kuo_d6_initial_number14506[] = {1, 1, 5, 11, 5, 31, 71, 205, 285, 37, 1863, 1873, 191, 16137, 2955, 51993, 91401, 206967, 0};
static int joe_kuo_d6_initial_number14507[] = {1, 3, 1, 7, 23, 31, 21, 81, 37, 903, 817, 3447, 8067, 3087, 25831, 46247, 77255, 68365, 0};
static int joe_kuo_d6_initial_number14508[] = {1, 1, 7, 11, 7, 43, 21, 243, 431, 633, 2047, 577, 7297, 8151, 15951, 30313, 121569, 241687, 0};
static int joe_kuo_d6_initial_number14509[] = {1, 1, 3, 5, 7, 45, 35, 189, 381, 849, 1869, 1193, 6815, 9017, 29053, 63605, 113623, 249097, 0};
static int joe_kuo_d6_initial_number14510[] = {1, 3, 3, 11, 13, 1, 73, 151, 197, 591, 1101, 2437, 6695, 8337, 26539, 40147, 45673, 57727, 0};
static int joe_kuo_d6_initial_number14511[] = {1, 1, 5, 1, 19, 15, 61, 151, 37, 893, 1819, 2317, 6299, 13097, 5109, 32613, 123685, 128173, 0};
static int joe_kuo_d6_initial_number14512[] = {1, 1, 1, 7, 25, 29, 29, 203, 179, 211, 1483, 3315, 7125, 6931, 609, 849, 117571, 26829, 0};
static int joe_kuo_d6_initial_number14513[] = {1, 3, 3, 11, 11, 47, 33, 101, 181, 431, 183, 2777, 5269, 4177, 15727, 717, 111243, 34825, 0};
static int joe_kuo_d6_initial_number14514[] = {1, 3, 5, 11, 17, 19, 19, 143, 137, 537, 1249, 2889, 1911, 3895, 15433, 60165, 83815, 205569, 0};
static int joe_kuo_d6_initial_number14515[] = {1, 3, 3, 7, 9, 59, 13, 159, 307, 625, 1, 2887, 3307, 16371, 4269, 56253, 71171, 55543, 0};
static int joe_kuo_d6_initial_number14516[] = {1, 1, 1, 11, 7, 63, 15, 53, 409, 7, 1317, 473, 7481, 10321, 27941, 4941, 40003, 194153, 0};
static int joe_kuo_d6_initial_number14517[] = {1, 1, 1, 1, 11, 53, 93, 157, 289, 231, 31, 273, 8131, 7861, 31041, 55221, 58305, 203403, 0};
static int joe_kuo_d6_initial_number14518[] = {1, 1, 5, 11, 15, 53, 103, 41, 439, 601, 1949, 1087, 4275, 4675, 31879, 40909, 22365, 124781, 0};
static int joe_kuo_d6_initial_number14519[] = {1, 3, 5, 9, 1, 47, 81, 47, 197, 499, 329, 2387, 5455, 15571, 2289, 44121, 12105, 11883, 0};
static int joe_kuo_d6_initial_number14520[] = {1, 1, 3, 3, 7, 47, 93, 33, 265, 149, 845, 723, 7783, 6651, 22939, 58027, 66959, 3991, 0};
static int joe_kuo_d6_initial_number14521[] = {1, 1, 5, 11, 23, 35, 123, 143, 35, 981, 1269, 2853, 4547, 7877, 16181, 17155, 57605, 11589, 0};
static int joe_kuo_d6_initial_number14522[] = {1, 1, 7, 11, 9, 57, 87, 151, 333, 743, 1939, 3273, 1047, 5033, 16061, 37237, 12013, 17669, 0};
static int joe_kuo_d6_initial_number14523[] = {1, 3, 7, 5, 29, 15, 109, 185, 51, 159, 1353, 3041, 7821, 14053, 13643, 62045, 78475, 43603, 0};
static int joe_kuo_d6_initial_number14524[] = {1, 3, 1, 9, 29, 25, 121, 49, 415, 561, 325, 1139, 1993, 6437, 6025, 25225, 20761, 250589, 0};
static int joe_kuo_d6_initial_number14525[] = {1, 3, 5, 3, 15, 39, 33, 43, 437, 605, 1081, 2397, 3821, 10961, 4853, 19517, 95817, 142023, 0};
static int joe_kuo_d6_initial_number14526[] = {1, 1, 3, 11, 23, 51, 119, 13, 227, 981, 2017, 3265, 1215, 8737, 10719, 48027, 43239, 19425, 0};
static int joe_kuo_d6_initial_number14527[] = {1, 3, 1, 15, 5, 5, 33, 175, 509, 611, 451, 2653, 1553, 1941, 25221, 31259, 6027, 159847, 0};
static int joe_kuo_d6_initial_number14528[] = {1, 3, 7, 11, 7, 25, 71, 61, 89, 775, 609, 2363, 4261, 10677, 1243, 44895, 49113, 209603, 0};
static int joe_kuo_d6_initial_number14529[] = {1, 3, 5, 15, 23, 23, 3, 15, 489, 455, 1303, 745, 5311, 1639, 18317, 33729, 119303, 255359, 0};
static int joe_kuo_d6_initial_number14530[] = {1, 3, 7, 5, 13, 53, 29, 127, 159, 67, 469, 1735, 3497, 6985, 24735, 32957, 1225, 24447, 0};
static int joe_kuo_d6_initial_number14531[] = {1, 3, 5, 5, 9, 13, 119, 83, 387, 777, 361, 3183, 6351, 9071, 13699, 53873, 54663, 67453, 0};
static int joe_kuo_d6_initial_number14532[] = {1, 1, 5, 9, 17, 33, 9, 159, 143, 193, 1055, 2903, 2719, 12521, 5231, 37639, 94963, 105673, 0};
static int joe_kuo_d6_initial_number14533[] = {1, 3, 3, 1, 27, 53, 87, 49, 465, 517, 1333, 411, 4089, 9985, 12989, 59511, 49939, 223481, 0};
static int joe_kuo_d6_initial_number14534[] = {1, 1, 5, 9, 27, 59, 35, 125, 393, 271, 1565, 2847, 8139, 15627, 16059, 55319, 11131, 35141, 0};
static int joe_kuo_d6_initial_number14535[] = {1, 1, 1, 1, 25, 1, 27, 195, 113, 539, 1281, 2273, 4793, 695, 25599, 41145, 107431, 160137, 0};
static int joe_kuo_d6_initial_number14536[] = {1, 3, 3, 7, 13, 7, 35, 137, 83, 995, 1671, 1701, 3157, 15583, 7637, 18947, 59675, 9421, 0};
static int joe_kuo_d6_initial_number14537[] = {1, 1, 7, 15, 23, 37, 109, 93, 377, 885, 1843, 1867, 2013, 10535, 5717, 55463, 18307, 125537, 0};
static int joe_kuo_d6_initial_number14538[] = {1, 3, 7, 11, 25, 33, 91, 213, 109, 599, 131, 1879, 1375, 2911, 4649, 8809, 41199, 61629, 0};
static int joe_kuo_d6_initial_number14539[] = {1, 3, 1, 1, 11, 17, 117, 243, 427, 913, 495, 527, 4277, 8867, 3131, 14143, 81677, 177369, 0};
static int joe_kuo_d6_initial_number14540[] = {1, 3, 7, 11, 11, 37, 71, 185, 487, 161, 1773, 837, 243, 14105, 6881, 2155, 63679, 220387, 0};
static int joe_kuo_d6_initial_number14541[] = {1, 1, 5, 3, 11, 41, 33, 99, 495, 757, 1083, 1987, 1997, 11057, 18445, 61903, 78163, 121701, 0};
static int joe_kuo_d6_initial_number14542[] = {1, 1, 1, 1, 23, 37, 9, 19, 411, 11, 1487, 1279, 2129, 7449, 29631, 34559, 129753, 112627, 0};
static int joe_kuo_d6_initial_number14543[] = {1, 1, 3, 11, 31, 39, 41, 207, 141, 383, 723, 3053, 743, 4479, 12395, 56659, 130303, 152005, 0};
static int joe_kuo_d6_initial_number14544[] = {1, 3, 1, 7, 27, 25, 19, 37, 29, 781, 1115, 2569, 4113, 14033, 18653, 1055, 50639, 70413, 0};
static int joe_kuo_d6_initial_number14545[] = {1, 1, 3, 1, 9, 15, 109, 7, 221, 161, 569, 2915, 2717, 2439, 4257, 61851, 113183, 63139, 0};
static int joe_kuo_d6_initial_number14546[] = {1, 3, 5, 1, 17, 45, 3, 147, 207, 769, 321, 11, 2747, 7189, 8067, 34951, 50851, 42625, 0};
static int joe_kuo_d6_initial_number14547[] = {1, 1, 7, 11, 15, 53, 117, 161, 219, 937, 1661, 3767, 959, 10351, 26685, 40095, 109821, 140139, 0};
static int joe_kuo_d6_initial_number14548[] = {1, 3, 3, 9, 15, 47, 61, 35, 289, 743, 1723, 2189, 749, 13499, 22897, 55385, 114953, 67191, 0};
static int joe_kuo_d6_initial_number14549[] = {1, 3, 7, 3, 23, 19, 123, 217, 393, 889, 1665, 13, 5663, 8695, 29767, 13433, 65133, 226713, 0};
static int joe_kuo_d6_initial_number14550[] = {1, 1, 7, 11, 5, 57, 59, 171, 321, 519, 1333, 1975, 5331, 2383, 26863, 8989, 82167, 6915, 0};
static int joe_kuo_d6_initial_number14551[] = {1, 1, 3, 3, 7, 17, 105, 79, 7, 827, 1277, 3805, 5943, 3161, 28953, 15657, 615, 149131, 0};
static int joe_kuo_d6_initial_number14552[] = {1, 1, 5, 1, 5, 7, 99, 65, 295, 933, 365, 1867, 1959, 10733, 26947, 29659, 121889, 200379, 0};
static int joe_kuo_d6_initial_number14553[] = {1, 3, 1, 13, 25, 21, 89, 247, 251, 43, 1539, 1317, 1875, 9237, 20693, 58433, 16757, 25451, 0};
static int joe_kuo_d6_initial_number14554[] = {1, 3, 3, 13, 11, 47, 73, 21, 467, 337, 1881, 2723, 7023, 2767, 12553, 65533, 20517, 203749, 0};
static int joe_kuo_d6_initial_number14555[] = {1, 1, 1, 1, 1, 17, 85, 133, 369, 577, 71, 859, 8151, 919, 10843, 44017, 10097, 199893, 0};
static int joe_kuo_d6_initial_number14556[] = {1, 3, 5, 5, 23, 19, 21, 233, 475, 123, 621, 687, 6945, 2373, 6447, 31243, 3525, 256545, 0};
static int joe_kuo_d6_initial_number14557[] = {1, 1, 7, 5, 9, 5, 35, 21, 33, 353, 1429, 3249, 6159, 8757, 6213, 855, 75863, 74507, 0};
static int joe_kuo_d6_initial_number14558[] = {1, 1, 5, 11, 29, 21, 45, 155, 369, 769, 1041, 3929, 7377, 1621, 5285, 55213, 66143, 110251, 0};
static int joe_kuo_d6_initial_number14559[] = {1, 3, 7, 11, 13, 57, 45, 207, 259, 907, 573, 663, 7727, 12677, 5949, 57625, 42183, 217491, 0};
static int joe_kuo_d6_initial_number14560[] = {1, 3, 5, 3, 21, 63, 113, 159, 87, 551, 1405, 2867, 239, 10941, 27633, 13947, 69689, 225771, 0};
static int joe_kuo_d6_initial_number14561[] = {1, 1, 3, 1, 1, 59, 5, 41, 125, 707, 1457, 1, 4263, 5519, 26101, 46339, 44949, 63689, 0};
static int joe_kuo_d6_initial_number14562[] = {1, 1, 1, 1, 11, 9, 65, 155, 3, 85, 273, 2287, 6059, 3289, 19045, 14705, 112465, 202019, 0};
static int joe_kuo_d6_initial_number14563[] = {1, 3, 3, 3, 21, 49, 95, 75, 479, 519, 1511, 1609, 2421, 14435, 11749, 49627, 16221, 98351, 0};
static int joe_kuo_d6_initial_number14564[] = {1, 1, 3, 5, 25, 57, 1, 39, 377, 523, 529, 701, 6749, 10109, 15845, 53301, 70979, 210997, 0};
static int joe_kuo_d6_initial_number14565[] = {1, 3, 1, 3, 27, 29, 101, 87, 361, 1, 229, 2653, 769, 16121, 18221, 31937, 12187, 63801, 0};
static int joe_kuo_d6_initial_number14566[] = {1, 3, 3, 1, 25, 27, 49, 235, 309, 23, 1625, 589, 1251, 10305, 26943, 38949, 82539, 135491, 0};
static int joe_kuo_d6_initial_number14567[] = {1, 1, 7, 7, 13, 13, 13, 61, 509, 73, 201, 2309, 1601, 3145, 19867, 5623, 117455, 180681, 0};
static int joe_kuo_d6_initial_number14568[] = {1, 3, 3, 13, 13, 47, 71, 9, 123, 719, 701, 353, 1877, 3103, 20017, 64731, 72729, 147631, 0};
static int joe_kuo_d6_initial_number14569[] = {1, 3, 1, 7, 29, 29, 53, 97, 409, 67, 1033, 2403, 2471, 10869, 2837, 43459, 117415, 213371, 0};
static int joe_kuo_d6_initial_number14570[] = {1, 1, 7, 1, 7, 23, 103, 157, 315, 335, 375, 3493, 4095, 5331, 7773, 64173, 23167, 21259, 0};
static int joe_kuo_d6_initial_number14571[] = {1, 3, 5, 13, 13, 55, 107, 147, 447, 281, 401, 1897, 7887, 15005, 21645, 26007, 19673, 238931, 0};
static int joe_kuo_d6_initial_number14572[] = {1, 3, 1, 7, 17, 39, 109, 113, 143, 59, 1095, 225, 1455, 5021, 5011, 2039, 4381, 219847, 0};
static int joe_kuo_d6_initial_number14573[] = {1, 3, 3, 7, 1, 35, 121, 145, 297, 251, 1153, 1955, 7881, 15461, 26961, 915, 30253, 15289, 0};
static int joe_kuo_d6_initial_number14574[] = {1, 3, 5, 15, 5, 57, 43, 157, 49, 17, 993, 4085, 5639, 9405, 28661, 30191, 73291, 76913, 0};
static int joe_kuo_d6_initial_number14575[] = {1, 1, 7, 1, 25, 63, 117, 55, 63, 649, 1635, 2505, 2765, 2715, 30241, 62699, 19567, 65953, 0};
static int joe_kuo_d6_initial_number14576[] = {1, 3, 5, 13, 21, 49, 111, 127, 179, 819, 1737, 2519, 815, 10541, 15821, 54203, 71767, 7091, 0};
static int joe_kuo_d6_initial_number14577[] = {1, 1, 1, 3, 27, 41, 101, 139, 39, 995, 819, 319, 1481, 15265, 20611, 22445, 53733, 82871, 0};
static int joe_kuo_d6_initial_number14578[] = {1, 3, 3, 13, 7, 61, 103, 203, 353, 205, 1927, 2665, 757, 12277, 31217, 22247, 14527, 26385, 0};
static int joe_kuo_d6_initial_number14579[] = {1, 1, 7, 3, 5, 35, 87, 235, 139, 785, 417, 3975, 6753, 4267, 15201, 8747, 12491, 159979, 0};
static int joe_kuo_d6_initial_number14580[] = {1, 3, 1, 9, 9, 11, 117, 231, 503, 933, 1461, 2657, 7771, 2161, 26723, 4853, 23215, 162315, 0};
static int joe_kuo_d6_initial_number14581[] = {1, 1, 7, 15, 27, 25, 115, 9, 257, 89, 571, 41, 2169, 10619, 2695, 2107, 64747, 40489, 0};
static int joe_kuo_d6_initial_number14582[] = {1, 3, 7, 9, 29, 61, 91, 117, 279, 721, 233, 177, 5509, 7599, 2379, 20297, 75425, 25051, 0};
static int joe_kuo_d6_initial_number14583[] = {1, 1, 1, 15, 31, 41, 3, 57, 59, 47, 963, 2831, 1885, 1989, 26803, 48243, 112065, 27753, 0};
static int joe_kuo_d6_initial_number14584[] = {1, 1, 5, 15, 9, 57, 41, 255, 179, 719, 1463, 2857, 285, 9623, 13111, 20415, 28819, 149441, 0};
static int joe_kuo_d6_initial_number14585[] = {1, 3, 1, 9, 17, 63, 21, 79, 473, 525, 1557, 3205, 7097, 14379, 28039, 30731, 62383, 247429, 0};
static int joe_kuo_d6_initial_number14586[] = {1, 3, 3, 13, 25, 45, 97, 213, 11, 801, 1519, 1085, 6167, 13701, 6707, 47223, 69923, 66239, 0};
static int joe_kuo_d6_initial_number14587[] = {1, 1, 1, 13, 1, 1, 9, 21, 363, 729, 1715, 1249, 5299, 11357, 20627, 33559, 84255, 133743, 0};
static int joe_kuo_d6_initial_number14588[] = {1, 3, 3, 13, 17, 33, 23, 255, 309, 605, 1177, 1305, 2717, 6561, 29193, 7971, 117525, 79139, 0};
static int joe_kuo_d6_initial_number14589[] = {1, 3, 1, 1, 7, 15, 73, 171, 11, 791, 241, 2641, 5397, 10403, 22207, 64123, 124507, 63855, 0};
static int joe_kuo_d6_initial_number14590[] = {1, 3, 1, 11, 11, 7, 109, 103, 321, 1009, 1237, 3347, 287, 2389, 16529, 7789, 3347, 97827, 0};
static int joe_kuo_d6_initial_number14591[] = {1, 3, 3, 3, 1, 27, 17, 9, 223, 755, 559, 3811, 2997, 1543, 23197, 42371, 5837, 13809, 0};
static int joe_kuo_d6_initial_number14592[] = {1, 3, 1, 3, 7, 57, 31, 23, 35, 329, 1155, 2525, 3029, 5495, 12005, 18045, 4539, 75789, 0};
static int joe_kuo_d6_initial_number14593[] = {1, 1, 5, 13, 3, 31, 121, 161, 325, 869, 715, 851, 1273, 1871, 22711, 61499, 36291, 11663, 0};
static int joe_kuo_d6_initial_number14594[] = {1, 1, 5, 11, 7, 39, 23, 139, 197, 47, 513, 373, 6859, 11217, 17725, 60949, 19299, 91425, 0};
static int joe_kuo_d6_initial_number14595[] = {1, 1, 3, 7, 15, 63, 123, 11, 109, 829, 231, 2591, 7997, 9061, 18647, 3209, 38509, 211219, 0};
static int joe_kuo_d6_initial_number14596[] = {1, 1, 1, 11, 13, 35, 73, 223, 325, 49, 1317, 4063, 4127, 2755, 555, 51057, 44909, 205723, 0};
static int joe_kuo_d6_initial_number14597[] = {1, 3, 3, 13, 17, 41, 115, 141, 503, 525, 63, 2487, 3225, 959, 10623, 28577, 89127, 157269, 0};
static int joe_kuo_d6_initial_number14598[] = {1, 3, 1, 9, 25, 9, 43, 43, 279, 111, 1141, 3033, 7229, 5725, 8277, 59141, 116811, 127945, 0};
static int joe_kuo_d6_initial_number14599[] = {1, 3, 7, 11, 27, 27, 93, 243, 135, 333, 1475, 1259, 1583, 7191, 6831, 53485, 128819, 174211, 0};
static int joe_kuo_d6_initial_number14600[] = {1, 3, 3, 3, 17, 17, 43, 251, 433, 1011, 1817, 2835, 7721, 2449, 9463, 23779, 31427, 88127, 0};
static int joe_kuo_d6_initial_number14601[] = {1, 1, 3, 3, 11, 49, 61, 41, 211, 559, 1761, 1303, 2119, 5743, 25515, 60705, 54405, 241063, 0};
static int joe_kuo_d6_initial_number14602[] = {1, 1, 3, 11, 7, 61, 15, 115, 29, 35, 187, 3137, 6177, 1449, 32723, 15917, 107851, 101077, 0};
static int joe_kuo_d6_initial_number14603[] = {1, 3, 5, 13, 21, 7, 11, 231, 417, 73, 1175, 735, 627, 7393, 7233, 39883, 129481, 106733, 0};
static int joe_kuo_d6_initial_number14604[] = {1, 3, 1, 15, 27, 61, 63, 201, 27, 431, 1127, 1555, 1953, 13051, 18701, 30097, 95549, 198465, 0};
static int joe_kuo_d6_initial_number14605[] = {1, 1, 3, 1, 23, 25, 43, 85, 291, 85, 1861, 675, 7451, 14701, 3929, 10835, 25569, 154687, 0};
static int joe_kuo_d6_initial_number14606[] = {1, 3, 7, 15, 5, 43, 91, 225, 283, 259, 1311, 3977, 585, 14803, 14117, 2121, 106981, 157577, 0};
static int joe_kuo_d6_initial_number14607[] = {1, 1, 1, 11, 7, 51, 49, 115, 477, 861, 1115, 743, 5109, 959, 7105, 9245, 66297, 188751, 0};
static int joe_kuo_d6_initial_number14608[] = {1, 3, 3, 11, 23, 1, 11, 111, 163, 643, 1907, 3613, 2967, 10071, 6023, 1307, 62341, 241025, 0};
static int joe_kuo_d6_initial_number14609[] = {1, 3, 5, 5, 15, 29, 31, 43, 445, 219, 1261, 421, 6035, 6461, 25583, 817, 100509, 239637, 0};
static int joe_kuo_d6_initial_number14610[] = {1, 1, 7, 3, 27, 51, 121, 93, 349, 125, 2013, 1671, 8049, 7807, 7291, 64413, 93625, 245611, 0};
static int joe_kuo_d6_initial_number14611[] = {1, 3, 3, 9, 11, 1, 91, 137, 501, 617, 1513, 799, 1705, 15737, 14989, 53611, 48781, 64481, 0};
static int joe_kuo_d6_initial_number14612[] = {1, 3, 3, 1, 21, 55, 95, 79, 383, 617, 1589, 2671, 4057, 13525, 9269, 23539, 13317, 87701, 0};
static int joe_kuo_d6_initial_number14613[] = {1, 1, 3, 1, 29, 17, 121, 45, 91, 215, 325, 2853, 1213, 10221, 7233, 34063, 21887, 142943, 0};
static int joe_kuo_d6_initial_number14614[] = {1, 3, 3, 11, 27, 53, 55, 149, 107, 379, 441, 585, 5697, 16353, 5613, 4323, 55315, 197603, 0};
static int joe_kuo_d6_initial_number14615[] = {1, 3, 7, 3, 31, 9, 71, 175, 485, 35, 675, 2091, 2351, 7985, 14207, 52687, 8559, 1067, 0};
static int joe_kuo_d6_initial_number14616[] = {1, 1, 5, 15, 29, 37, 9, 73, 357, 961, 489, 875, 7465, 3231, 27821, 42499, 127837, 117215, 0};
static int joe_kuo_d6_initial_number14617[] = {1, 3, 7, 7, 19, 43, 75, 153, 27, 291, 2039, 2661, 5513, 13429, 27307, 5305, 44771, 200621, 0};
static int joe_kuo_d6_initial_number14618[] = {1, 1, 1, 15, 5, 39, 61, 107, 201, 485, 319, 335, 5537, 14195, 31861, 63637, 68497, 45637, 0};
static int joe_kuo_d6_initial_number14619[] = {1, 3, 7, 7, 23, 49, 95, 225, 25, 933, 667, 2993, 2181, 15659, 31343, 20249, 57039, 43399, 0};
static int joe_kuo_d6_initial_number14620[] = {1, 3, 3, 7, 17, 25, 29, 243, 511, 91, 1409, 203, 2749, 7067, 12471, 41737, 32761, 7535, 0};
static int joe_kuo_d6_initial_number14621[] = {1, 1, 7, 9, 27, 43, 63, 65, 325, 817, 1127, 2039, 6171, 5867, 10593, 17205, 95913, 207417, 0};
static int joe_kuo_d6_initial_number14622[] = {1, 1, 7, 3, 3, 51, 107, 153, 193, 579, 593, 2915, 7641, 5157, 1131, 29793, 66579, 81903, 0};
static int joe_kuo_d6_initial_number14623[] = {1, 1, 5, 15, 19, 61, 125, 107, 235, 513, 1897, 875, 6341, 1817, 10631, 63905, 42993, 150699, 0};
static int joe_kuo_d6_initial_number14624[] = {1, 1, 3, 11, 27, 1, 93, 107, 325, 459, 1733, 2527, 4557, 2277, 19345, 8205, 67337, 242559, 0};
static int joe_kuo_d6_initial_number14625[] = {1, 1, 7, 3, 3, 45, 27, 227, 201, 99, 589, 1665, 4851, 2655, 9915, 41321, 59865, 71501, 0};
static int joe_kuo_d6_initial_number14626[] = {1, 3, 1, 9, 3, 25, 117, 199, 125, 849, 135, 1771, 4743, 13475, 23711, 17389, 52711, 200143, 0};
static int joe_kuo_d6_initial_number14627[] = {1, 3, 1, 3, 11, 23, 67, 155, 133, 557, 1933, 3169, 1707, 16045, 11039, 13889, 71045, 245885, 0};
static int joe_kuo_d6_initial_number14628[] = {1, 1, 5, 9, 1, 7, 99, 13, 315, 251, 1289, 225, 2847, 8451, 3139, 46829, 124745, 64825, 0};
static int joe_kuo_d6_initial_number14629[] = {1, 3, 7, 13, 19, 45, 87, 161, 271, 401, 1995, 935, 1803, 4051, 11709, 26993, 120139, 147895, 0};
static int joe_kuo_d6_initial_number14630[] = {1, 1, 7, 5, 15, 11, 47, 215, 51, 1019, 2039, 3767, 929, 3845, 3939, 64077, 48115, 61845, 0};
static int joe_kuo_d6_initial_number14631[] = {1, 1, 1, 5, 1, 39, 15, 77, 179, 13, 1099, 203, 3363, 9071, 12033, 49159, 71137, 124177, 0};
static int joe_kuo_d6_initial_number14632[] = {1, 3, 5, 5, 1, 31, 83, 219, 387, 347, 1099, 925, 4423, 5081, 15981, 35881, 79131, 248301, 0};
static int joe_kuo_d6_initial_number14633[] = {1, 3, 7, 3, 25, 19, 53, 43, 347, 845, 1735, 3237, 2795, 2253, 2997, 43729, 122833, 124869, 0};
static int joe_kuo_d6_initial_number14634[] = {1, 3, 5, 11, 5, 19, 93, 55, 297, 231, 239, 3335, 253, 13607, 16769, 48879, 61439, 54827, 0};
static int joe_kuo_d6_initial_number14635[] = {1, 3, 7, 11, 11, 55, 121, 73, 19, 1017, 727, 579, 8011, 9559, 15051, 7895, 17609, 103061, 0};
static int joe_kuo_d6_initial_number14636[] = {1, 1, 7, 5, 19, 47, 85, 195, 75, 1003, 439, 3069, 2107, 12751, 26729, 2329, 1191, 86547, 0};
static int joe_kuo_d6_initial_number14637[] = {1, 3, 3, 9, 5, 31, 63, 227, 481, 793, 1853, 1491, 2109, 4199, 32149, 45229, 54685, 124819, 0};
static int joe_kuo_d6_initial_number14638[] = {1, 1, 1, 3, 15, 15, 41, 45, 153, 429, 1691, 1897, 7253, 7239, 26133, 36527, 90319, 186097, 0};
static int joe_kuo_d6_initial_number14639[] = {1, 3, 1, 13, 15, 33, 103, 113, 121, 387, 177, 1943, 3181, 5483, 18515, 38807, 22655, 59787, 0};
static int joe_kuo_d6_initial_number14640[] = {1, 1, 5, 7, 15, 3, 53, 155, 99, 133, 579, 2129, 6881, 11091, 26715, 15485, 108071, 230881, 0};
static int joe_kuo_d6_initial_number14641[] = {1, 1, 3, 13, 25, 61, 91, 81, 9, 1011, 1993, 2485, 3707, 11127, 21279, 15853, 104081, 203769, 0};
static int joe_kuo_d6_initial_number14642[] = {1, 1, 7, 3, 17, 23, 37, 171, 315, 247, 275, 3215, 7139, 11739, 25859, 34803, 124601, 9169, 0};
static int joe_kuo_d6_initial_number14643[] = {1, 3, 7, 9, 21, 29, 97, 213, 309, 865, 597, 1811, 5547, 3741, 31927, 53379, 43293, 23589, 0};
static int joe_kuo_d6_initial_number14644[] = {1, 3, 7, 9, 7, 43, 107, 187, 485, 977, 1329, 3037, 3701, 9667, 13581, 6283, 39221, 63841, 0};
static int joe_kuo_d6_initial_number14645[] = {1, 1, 3, 11, 3, 51, 117, 45, 293, 409, 689, 153, 1163, 10921, 22709, 30415, 120475, 120751, 0};
static int joe_kuo_d6_initial_number14646[] = {1, 3, 5, 15, 31, 59, 57, 63, 249, 763, 1627, 3039, 4309, 14115, 25489, 35009, 126609, 146041, 0};
static int joe_kuo_d6_initial_number14647[] = {1, 1, 1, 9, 3, 47, 21, 183, 495, 361, 1439, 407, 5757, 12645, 11425, 1923, 94511, 205127, 0};
static int joe_kuo_d6_initial_number14648[] = {1, 3, 1, 9, 15, 5, 101, 107, 385, 175, 791, 901, 4427, 10415, 8163, 14417, 62997, 139309, 0};
static int joe_kuo_d6_initial_number14649[] = {1, 3, 5, 3, 13, 57, 9, 99, 77, 123, 1607, 3643, 3879, 503, 6021, 60211, 106471, 221801, 0};
static int joe_kuo_d6_initial_number14650[] = {1, 1, 7, 5, 27, 35, 11, 33, 415, 387, 1461, 741, 55, 15095, 21177, 5715, 109893, 204843, 0};
static int joe_kuo_d6_initial_number14651[] = {1, 1, 1, 15, 7, 49, 51, 81, 157, 421, 279, 1951, 6847, 10259, 31925, 60761, 12395, 49511, 0};
static int joe_kuo_d6_initial_number14652[] = {1, 3, 7, 11, 5, 33, 27, 135, 247, 813, 1889, 2547, 2359, 9535, 4141, 59713, 88685, 214641, 0};
static int joe_kuo_d6_initial_number14653[] = {1, 1, 5, 15, 17, 61, 99, 103, 39, 151, 1033, 2743, 6639, 5271, 22059, 12681, 22763, 88255, 0};
static int joe_kuo_d6_initial_number14654[] = {1, 1, 7, 13, 5, 11, 39, 139, 353, 989, 1391, 169, 3709, 735, 22965, 227, 103623, 153893, 0};
static int joe_kuo_d6_initial_number14655[] = {1, 1, 7, 3, 9, 51, 53, 87, 411, 617, 671, 681, 5057, 6003, 23137, 30881, 2289, 187133, 0};
static int joe_kuo_d6_initial_number14656[] = {1, 1, 7, 7, 17, 59, 77, 219, 25, 53, 145, 129, 4289, 14257, 7159, 44833, 22131, 53393, 0};
static int joe_kuo_d6_initial_number14657[] = {1, 3, 7, 1, 9, 59, 79, 177, 149, 637, 1641, 3713, 2709, 12321, 5691, 18239, 8617, 225979, 0};
static int joe_kuo_d6_initial_number14658[] = {1, 1, 7, 5, 9, 9, 67, 51, 451, 815, 295, 813, 1257, 179, 28769, 57241, 51753, 164873, 0};
static int joe_kuo_d6_initial_number14659[] = {1, 3, 1, 9, 19, 61, 53, 65, 29, 503, 715, 1837, 7487, 16187, 27303, 54681, 98753, 100471, 0};
static int joe_kuo_d6_initial_number14660[] = {1, 1, 3, 1, 15, 51, 1, 79, 179, 367, 841, 1313, 797, 4777, 1369, 13317, 65059, 204877, 0};
static int joe_kuo_d6_initial_number14661[] = {1, 3, 5, 9, 15, 19, 109, 45, 473, 517, 1139, 15, 1997, 4245, 11169, 56417, 75017, 37957, 0};
static int joe_kuo_d6_initial_number14662[] = {1, 1, 7, 1, 3, 41, 75, 95, 59, 503, 1439, 2633, 3527, 5363, 24357, 43659, 10387, 208319, 0};
static int joe_kuo_d6_initial_number14663[] = {1, 1, 5, 1, 31, 7, 71, 231, 505, 241, 1579, 3517, 3995, 8269, 6793, 15883, 102779, 75589, 0};
static int joe_kuo_d6_initial_number14664[] = {1, 3, 5, 1, 13, 61, 87, 213, 501, 307, 1629, 2715, 7245, 747, 20601, 28105, 79249, 76231, 0};
static int joe_kuo_d6_initial_number14665[] = {1, 1, 7, 11, 5, 13, 69, 221, 485, 59, 2027, 483, 6851, 11719, 16787, 54111, 47579, 49959, 0};
static int joe_kuo_d6_initial_number14666[] = {1, 1, 3, 15, 3, 33, 57, 75, 375, 45, 851, 1673, 8167, 867, 32087, 34157, 96701, 72893, 0};
static int joe_kuo_d6_initial_number14667[] = {1, 1, 3, 1, 21, 31, 65, 85, 181, 453, 815, 3139, 205, 429, 7451, 50855, 41085, 137927, 0};
static int joe_kuo_d6_initial_number14668[] = {1, 3, 1, 9, 3, 57, 99, 183, 305, 991, 809, 4021, 3131, 4459, 5839, 32493, 116541, 59329, 0};
static int joe_kuo_d6_initial_number14669[] = {1, 3, 7, 1, 5, 19, 3, 91, 297, 715, 1081, 445, 393, 12685, 4457, 61437, 103701, 75917, 0};
static int joe_kuo_d6_initial_number14670[] = {1, 1, 7, 15, 17, 39, 19, 255, 247, 391, 1055, 1241, 4515, 10217, 23363, 40301, 115053, 234349, 0};
static int joe_kuo_d6_initial_number14671[] = {1, 3, 5, 1, 21, 9, 33, 243, 501, 793, 219, 3595, 2585, 5083, 15377, 35761, 90609, 93761, 0};
static int joe_kuo_d6_initial_number14672[] = {1, 1, 5, 13, 3, 1, 5, 77, 265, 525, 1107, 1879, 1119, 2277, 30557, 43547, 81947, 134075, 0};
static int joe_kuo_d6_initial_number14673[] = {1, 1, 7, 5, 11, 47, 71, 83, 255, 183, 515, 2591, 3933, 16025, 16727, 43421, 18725, 106675, 0};
static int joe_kuo_d6_initial_number14674[] = {1, 3, 1, 1, 5, 17, 57, 209, 509, 421, 1247, 3153, 1835, 8777, 13285, 27699, 34001, 186553, 0};
static int joe_kuo_d6_initial_number14675[] = {1, 1, 3, 11, 27, 19, 73, 65, 179, 115, 845, 2507, 7673, 14429, 10553, 4999, 82323, 247379, 0};
static int joe_kuo_d6_initial_number14676[] = {1, 3, 7, 7, 17, 59, 97, 183, 407, 697, 1423, 123, 6479, 3997, 729, 31587, 114383, 61673, 0};
static int joe_kuo_d6_initial_number14677[] = {1, 1, 5, 9, 21, 23, 21, 153, 187, 255, 125, 1469, 2639, 8099, 29689, 36415, 103959, 231621, 0};
static int joe_kuo_d6_initial_number14678[] = {1, 1, 3, 11, 19, 59, 115, 205, 123, 133, 1953, 3471, 2495, 329, 32385, 21931, 9691, 51405, 0};
static int joe_kuo_d6_initial_number14679[] = {1, 3, 3, 13, 7, 7, 115, 65, 301, 621, 1091, 2137, 5729, 5027, 21331, 24803, 114789, 142039, 0};
static int joe_kuo_d6_initial_number14680[] = {1, 1, 7, 5, 31, 19, 103, 69, 503, 663, 1497, 2867, 5295, 893, 15927, 37513, 94553, 72369, 0};
static int joe_kuo_d6_initial_number14681[] = {1, 3, 3, 15, 17, 33, 99, 249, 277, 259, 9, 99, 3073, 12017, 14847, 7685, 102499, 26489, 0};
static int joe_kuo_d6_initial_number14682[] = {1, 1, 1, 1, 5, 23, 31, 45, 29, 483, 1977, 1129, 6925, 2273, 16573, 53039, 90251, 137191, 0};
static int joe_kuo_d6_initial_number14683[] = {1, 3, 1, 13, 27, 47, 29, 51, 473, 895, 671, 3917, 6905, 15769, 9019, 28879, 120591, 220753, 0};
static int joe_kuo_d6_initial_number14684[] = {1, 3, 1, 13, 27, 29, 53, 255, 507, 819, 1251, 2463, 1717, 14461, 31997, 30829, 8803, 115539, 0};
static int joe_kuo_d6_initial_number14685[] = {1, 3, 3, 15, 27, 1, 109, 225, 451, 409, 2025, 2701, 4121, 9949, 1551, 13625, 73577, 211549, 0};
static int joe_kuo_d6_initial_number14686[] = {1, 1, 1, 3, 23, 57, 49, 35, 365, 711, 2001, 997, 1853, 2913, 15667, 30255, 19535, 2171, 0};
static int joe_kuo_d6_initial_number14687[] = {1, 1, 7, 1, 21, 37, 127, 3, 117, 449, 1689, 1391, 1427, 12641, 15199, 23769, 66553, 34669, 0};
static int joe_kuo_d6_initial_number14688[] = {1, 3, 7, 9, 31, 45, 51, 137, 181, 469, 573, 89, 7257, 10991, 30705, 37827, 75071, 152885, 0};
static int joe_kuo_d6_initial_number14689[] = {1, 3, 1, 1, 19, 13, 55, 223, 261, 353, 1497, 183, 8173, 14421, 9977, 24095, 47215, 155189, 0};
static int joe_kuo_d6_initial_number14690[] = {1, 1, 3, 15, 15, 41, 31, 105, 459, 27, 299, 159, 2167, 14809, 9983, 2755, 121715, 35921, 0};
static int joe_kuo_d6_initial_number14691[] = {1, 1, 3, 7, 31, 5, 85, 137, 431, 849, 1479, 2681, 167, 5727, 3211, 30765, 63295, 39509, 0};
static int joe_kuo_d6_initial_number14692[] = {1, 1, 5, 7, 5, 51, 21, 103, 175, 927, 1115, 1507, 505, 8093, 25831, 54303, 40397, 61249, 0};
static int joe_kuo_d6_initial_number14693[] = {1, 1, 7, 3, 23, 53, 49, 225, 7, 425, 403, 3949, 1081, 15335, 21737, 647, 107875, 236183, 0};
static int joe_kuo_d6_initial_number14694[] = {1, 1, 5, 7, 17, 21, 85, 229, 325, 57, 601, 2785, 6417, 5135, 17917, 12861, 97675, 115457, 0};
static int joe_kuo_d6_initial_number14695[] = {1, 1, 3, 3, 13, 23, 73, 111, 385, 47, 605, 1169, 1729, 2335, 18739, 61293, 41915, 237645, 0};
static int joe_kuo_d6_initial_number14696[] = {1, 1, 1, 5, 31, 11, 123, 13, 465, 755, 1073, 1885, 2105, 5971, 2347, 10911, 125823, 156037, 0};
static int joe_kuo_d6_initial_number14697[] = {1, 3, 7, 11, 17, 47, 3, 165, 227, 355, 87, 839, 7741, 12275, 28579, 25337, 87671, 224847, 0};
static int joe_kuo_d6_initial_number14698[] = {1, 1, 5, 15, 23, 33, 9, 1, 257, 121, 1049, 1009, 187, 9935, 26093, 21921, 130247, 240291, 0};
static int joe_kuo_d6_initial_number14699[] = {1, 1, 3, 13, 13, 27, 87, 221, 27, 117, 551, 2533, 7611, 5333, 14635, 9911, 37555, 250621, 0};
static int joe_kuo_d6_initial_number14700[] = {1, 3, 7, 15, 29, 39, 33, 1, 495, 889, 1397, 3415, 7193, 11533, 27379, 36425, 13739, 146635, 0};
static int joe_kuo_d6_initial_number14701[] = {1, 1, 7, 11, 1, 23, 85, 127, 79, 989, 321, 1913, 7571, 9889, 11803, 1307, 120513, 218077, 0};
static int joe_kuo_d6_initial_number14702[] = {1, 1, 7, 5, 5, 15, 35, 9, 351, 973, 1455, 2043, 5527, 9431, 16059, 53915, 105785, 180579, 0};
static int joe_kuo_d6_initial_number14703[] = {1, 1, 1, 13, 13, 45, 15, 41, 131, 463, 1011, 3559, 6393, 4737, 6041, 33073, 60989, 56761, 0};
static int joe_kuo_d6_initial_number14704[] = {1, 1, 3, 9, 31, 35, 23, 133, 33, 233, 543, 957, 4913, 12441, 10293, 31611, 83383, 154551, 0};
static int joe_kuo_d6_initial_number14705[] = {1, 3, 3, 1, 29, 37, 117, 247, 345, 197, 1617, 3333, 7901, 8343, 55, 16529, 34627, 172703, 0};
static int joe_kuo_d6_initial_number14706[] = {1, 1, 1, 13, 23, 51, 7, 219, 503, 215, 375, 2275, 5467, 13953, 13987, 22735, 67505, 185977, 0};
static int joe_kuo_d6_initial_number14707[] = {1, 3, 5, 5, 29, 53, 85, 147, 167, 409, 853, 667, 4431, 5227, 15535, 34375, 107135, 220637, 0};
static int joe_kuo_d6_initial_number14708[] = {1, 3, 7, 7, 19, 3, 73, 123, 455, 539, 1735, 1423, 5337, 16311, 15469, 36071, 126437, 219249, 0};
static int joe_kuo_d6_initial_number14709[] = {1, 1, 1, 3, 19, 49, 17, 133, 101, 1013, 683, 869, 6267, 409, 31379, 2535, 8039, 63205, 0};
static int joe_kuo_d6_initial_number14710[] = {1, 1, 1, 13, 13, 53, 25, 31, 501, 629, 645, 1811, 3675, 13317, 17009, 7359, 85475, 249823, 0};
static int joe_kuo_d6_initial_number14711[] = {1, 1, 3, 11, 5, 1, 41, 17, 159, 361, 1439, 2083, 1425, 7221, 9117, 59543, 59285, 188615, 0};
static int joe_kuo_d6_initial_number14712[] = {1, 3, 7, 1, 11, 27, 71, 121, 471, 749, 1983, 3715, 6463, 5793, 1063, 18201, 189, 243751, 0};
static int joe_kuo_d6_initial_number14713[] = {1, 3, 3, 11, 19, 17, 15, 175, 379, 683, 1491, 2385, 6981, 1183, 16829, 2103, 9309, 46119, 0};
static int joe_kuo_d6_initial_number14714[] = {1, 1, 7, 5, 17, 39, 109, 9, 279, 309, 1, 1523, 4551, 3855, 13277, 36125, 54191, 45085, 0};
static int joe_kuo_d6_initial_number14715[] = {1, 3, 5, 3, 9, 59, 51, 5, 431, 657, 161, 2725, 2401, 9743, 12925, 43501, 51551, 163737, 0};
static int joe_kuo_d6_initial_number14716[] = {1, 1, 5, 3, 9, 13, 7, 177, 121, 795, 1169, 3169, 3793, 3995, 29027, 32967, 82273, 207939, 0};
static int joe_kuo_d6_initial_number14717[] = {1, 3, 7, 13, 1, 1, 31, 91, 245, 775, 1589, 2263, 6303, 15787, 3111, 52553, 52507, 183971, 0};
static int joe_kuo_d6_initial_number14718[] = {1, 3, 5, 11, 15, 49, 73, 191, 67, 449, 1245, 2445, 5617, 8625, 27971, 35939, 76907, 76207, 0};
static int joe_kuo_d6_initial_number14719[] = {1, 3, 1, 11, 15, 47, 29, 91, 437, 895, 1941, 249, 2739, 15479, 29699, 7257, 39897, 65985, 0};
static int joe_kuo_d6_initial_number14720[] = {1, 3, 5, 7, 13, 23, 45, 113, 297, 373, 1505, 2317, 7509, 12059, 13737, 29081, 87337, 221917, 0};
static int joe_kuo_d6_initial_number14721[] = {1, 3, 3, 3, 1, 5, 13, 215, 221, 461, 1337, 3569, 2257, 12135, 14685, 39721, 16723, 234791, 0};
static int joe_kuo_d6_initial_number14722[] = {1, 1, 7, 5, 11, 25, 71, 103, 87, 533, 779, 379, 6695, 13451, 24801, 49235, 35109, 100865, 0};
static int joe_kuo_d6_initial_number14723[] = {1, 3, 3, 15, 13, 51, 27, 11, 279, 847, 135, 1119, 2765, 3805, 20273, 29089, 83379, 190353, 0};
static int joe_kuo_d6_initial_number14724[] = {1, 3, 7, 5, 17, 29, 111, 35, 189, 273, 503, 541, 6691, 9051, 10403, 7559, 54787, 25403, 0};
static int joe_kuo_d6_initial_number14725[] = {1, 3, 5, 9, 21, 29, 85, 235, 223, 677, 71, 1313, 6587, 10983, 199, 27721, 78627, 105505, 0};
static int joe_kuo_d6_initial_number14726[] = {1, 3, 1, 3, 13, 3, 123, 115, 173, 907, 1555, 1489, 2745, 6451, 25347, 24105, 66471, 181009, 0};
static int joe_kuo_d6_initial_number14727[] = {1, 1, 7, 1, 31, 15, 13, 97, 511, 827, 1193, 3081, 1517, 13511, 24887, 39239, 85175, 150213, 0};
static int joe_kuo_d6_initial_number14728[] = {1, 1, 1, 5, 17, 39, 121, 67, 207, 877, 1885, 171, 2687, 13081, 27267, 58699, 118575, 213025, 0};
static int joe_kuo_d6_initial_number14729[] = {1, 1, 3, 9, 9, 27, 101, 215, 31, 37, 1629, 3631, 3225, 9667, 31547, 41939, 38683, 150805, 0};
static int joe_kuo_d6_initial_number14730[] = {1, 3, 1, 11, 11, 59, 17, 15, 187, 667, 747, 2193, 6749, 6019, 31805, 52433, 4141, 52613, 0};
static int joe_kuo_d6_initial_number14731[] = {1, 3, 3, 13, 9, 1, 51, 101, 213, 881, 899, 2197, 3017, 1591, 9271, 44017, 99893, 192005, 0};
static int joe_kuo_d6_initial_number14732[] = {1, 3, 7, 13, 23, 41, 79, 83, 123, 585, 49, 849, 2133, 12473, 6907, 15487, 45783, 46609, 0};
static int joe_kuo_d6_initial_number14733[] = {1, 3, 7, 13, 27, 23, 71, 13, 319, 903, 1123, 933, 2603, 11631, 19953, 47001, 127751, 84547, 0};
static int joe_kuo_d6_initial_number14734[] = {1, 1, 1, 15, 3, 61, 79, 231, 43, 217, 801, 997, 6545, 13657, 25589, 30435, 49497, 1037, 0};
static int joe_kuo_d6_initial_number14735[] = {1, 3, 3, 3, 21, 29, 121, 35, 129, 239, 1645, 3147, 7647, 1201, 19287, 7075, 67961, 62481, 0};
static int joe_kuo_d6_initial_number14736[] = {1, 3, 7, 7, 3, 23, 45, 177, 469, 897, 359, 2521, 2079, 985, 14993, 56813, 20667, 187341, 0};
static int joe_kuo_d6_initial_number14737[] = {1, 3, 5, 7, 23, 53, 15, 45, 297, 93, 247, 1165, 2683, 5899, 7113, 14859, 22733, 173835, 0};
static int joe_kuo_d6_initial_number14738[] = {1, 1, 3, 15, 23, 17, 43, 179, 103, 197, 1857, 323, 267, 12417, 2343, 41527, 12243, 112023, 0};
static int joe_kuo_d6_initial_number14739[] = {1, 3, 7, 13, 7, 43, 75, 19, 169, 621, 735, 141, 3087, 765, 5901, 34029, 117603, 5137, 0};
static int joe_kuo_d6_initial_number14740[] = {1, 1, 3, 5, 15, 17, 67, 177, 371, 249, 99, 1651, 3701, 343, 435, 50307, 33915, 115391, 0};
static int joe_kuo_d6_initial_number14741[] = {1, 1, 3, 13, 19, 53, 69, 1, 435, 71, 339, 2289, 1591, 8783, 8087, 25855, 115311, 191115, 0};
static int joe_kuo_d6_initial_number14742[] = {1, 3, 5, 11, 1, 55, 59, 7, 101, 655, 353, 483, 5681, 12721, 15973, 51377, 94921, 246365, 0};
static int joe_kuo_d6_initial_number14743[] = {1, 3, 5, 3, 25, 23, 99, 145, 277, 741, 595, 2653, 1393, 2867, 271, 49131, 111973, 118869, 0};
static int joe_kuo_d6_initial_number14744[] = {1, 1, 7, 13, 11, 51, 127, 27, 305, 265, 1755, 3189, 4679, 9721, 24409, 46941, 94353, 95643, 0};
static int joe_kuo_d6_initial_number14745[] = {1, 1, 5, 11, 1, 63, 53, 149, 459, 155, 1431, 3969, 3417, 12121, 14535, 52089, 110745, 57, 0};
static int joe_kuo_d6_initial_number14746[] = {1, 1, 5, 9, 23, 33, 17, 175, 313, 185, 101, 531, 2941, 14999, 31413, 12103, 33709, 260555, 0};
static int joe_kuo_d6_initial_number14747[] = {1, 1, 3, 13, 3, 11, 67, 95, 211, 673, 23, 2379, 6985, 12101, 13021, 9255, 116437, 228877, 0};
static int joe_kuo_d6_initial_number14748[] = {1, 1, 3, 15, 7, 51, 25, 109, 45, 691, 869, 485, 111, 11465, 27953, 54375, 10805, 221023, 0};
static int joe_kuo_d6_initial_number14749[] = {1, 3, 7, 7, 17, 53, 59, 101, 221, 593, 587, 873, 931, 14617, 12067, 58655, 102437, 31675, 0};
static int joe_kuo_d6_initial_number14750[] = {1, 1, 3, 15, 25, 57, 35, 231, 491, 671, 933, 3525, 1237, 10155, 27501, 50781, 23183, 108283, 0};
static int joe_kuo_d6_initial_number14751[] = {1, 3, 5, 5, 31, 63, 117, 205, 199, 841, 1455, 3901, 2127, 13573, 20667, 49489, 60217, 197421, 0};
static int joe_kuo_d6_initial_number14752[] = {1, 1, 3, 7, 15, 21, 73, 211, 421, 873, 607, 709, 9, 10985, 28653, 64579, 118145, 3095, 0};
static int joe_kuo_d6_initial_number14753[] = {1, 1, 1, 13, 17, 53, 27, 105, 201, 399, 737, 3235, 1287, 13859, 6049, 62249, 88259, 52991, 0};
static int joe_kuo_d6_initial_number14754[] = {1, 3, 7, 7, 25, 45, 67, 147, 275, 315, 1675, 2289, 4611, 6325, 26617, 38079, 125219, 23569, 0};
static int joe_kuo_d6_initial_number14755[] = {1, 1, 7, 7, 9, 61, 115, 251, 297, 691, 1881, 1815, 7229, 10859, 8257, 38097, 87927, 162845, 0};
static int joe_kuo_d6_initial_number14756[] = {1, 3, 3, 9, 9, 59, 17, 207, 433, 825, 93, 697, 7263, 15983, 14829, 47471, 17579, 151519, 0};
static int joe_kuo_d6_initial_number14757[] = {1, 1, 1, 11, 21, 31, 7, 41, 383, 731, 2033, 3417, 4187, 5515, 10093, 15875, 78551, 2057, 0};
static int joe_kuo_d6_initial_number14758[] = {1, 3, 7, 15, 5, 29, 7, 171, 129, 727, 1815, 1361, 6137, 10333, 22203, 361, 92437, 6545, 0};
static int joe_kuo_d6_initial_number14759[] = {1, 1, 3, 13, 25, 45, 111, 69, 333, 365, 765, 2755, 3485, 2729, 23467, 64809, 120755, 169279, 0};
static int joe_kuo_d6_initial_number14760[] = {1, 1, 3, 1, 19, 13, 33, 165, 157, 429, 1175, 3435, 7523, 5055, 12295, 34309, 36933, 164037, 0};
static int joe_kuo_d6_initial_number14761[] = {1, 1, 3, 11, 31, 49, 37, 161, 465, 311, 1839, 689, 6837, 13473, 29883, 61587, 86077, 156921, 0};
static int joe_kuo_d6_initial_number14762[] = {1, 3, 3, 1, 3, 23, 69, 159, 501, 303, 1495, 9, 6055, 545, 12247, 23413, 67247, 38137, 0};
static int joe_kuo_d6_initial_number14763[] = {1, 1, 5, 15, 5, 39, 107, 121, 295, 167, 1055, 2703, 147, 7291, 3981, 51989, 92953, 225987, 0};
static int joe_kuo_d6_initial_number14764[] = {1, 3, 1, 1, 21, 5, 91, 129, 57, 53, 365, 2497, 5017, 13535, 19305, 60447, 115467, 225317, 0};
static int joe_kuo_d6_initial_number14765[] = {1, 3, 1, 7, 25, 17, 51, 15, 119, 1013, 719, 991, 2655, 12587, 15749, 11723, 18461, 155937, 0};
static int joe_kuo_d6_initial_number14766[] = {1, 3, 7, 3, 25, 33, 59, 135, 501, 813, 235, 3775, 2781, 13137, 32673, 31643, 78881, 207651, 0};
static int joe_kuo_d6_initial_number14767[] = {1, 1, 7, 13, 27, 51, 99, 189, 187, 577, 941, 1275, 7297, 14731, 12599, 49049, 96439, 35093, 0};
static int joe_kuo_d6_initial_number14768[] = {1, 3, 1, 15, 9, 45, 1, 149, 305, 231, 935, 1377, 6345, 14795, 20969, 26263, 5711, 146949, 0};
static int joe_kuo_d6_initial_number14769[] = {1, 1, 5, 9, 5, 9, 47, 127, 105, 517, 671, 67, 4639, 2477, 23109, 56707, 72131, 100709, 0};
static int joe_kuo_d6_initial_number14770[] = {1, 3, 5, 3, 21, 23, 7, 193, 491, 197, 319, 3207, 2183, 2133, 3127, 34555, 53707, 170875, 0};
static int joe_kuo_d6_initial_number14771[] = {1, 1, 3, 9, 5, 23, 109, 91, 359, 913, 179, 1031, 3617, 12497, 23299, 53293, 114603, 9931, 0};
static int joe_kuo_d6_initial_number14772[] = {1, 3, 1, 5, 1, 47, 73, 103, 333, 483, 1015, 3085, 5229, 3171, 16539, 13493, 68957, 177645, 0};
static int joe_kuo_d6_initial_number14773[] = {1, 1, 1, 9, 27, 15, 25, 255, 383, 501, 831, 2463, 237, 16065, 6991, 56503, 117303, 140573, 0};
static int joe_kuo_d6_initial_number14774[] = {1, 1, 3, 5, 9, 25, 15, 179, 415, 729, 1163, 2649, 2907, 9591, 29129, 42775, 80537, 139897, 0};
static int joe_kuo_d6_initial_number14775[] = {1, 1, 3, 7, 31, 15, 113, 1, 263, 685, 1953, 1479, 5143, 8585, 9057, 61479, 122065, 191541, 0};
static int joe_kuo_d6_initial_number14776[] = {1, 3, 1, 11, 25, 47, 25, 229, 463, 197, 1123, 2665, 2345, 11701, 10435, 15205, 35437, 137619, 0};
static int joe_kuo_d6_initial_number14777[] = {1, 3, 3, 5, 19, 57, 89, 101, 373, 283, 57, 1701, 5025, 6677, 20321, 58459, 9319, 161501, 0};
static int joe_kuo_d6_initial_number14778[] = {1, 1, 1, 13, 3, 51, 111, 23, 325, 813, 441, 2371, 1993, 6839, 359, 9873, 33719, 208163, 0};
static int joe_kuo_d6_initial_number14779[] = {1, 3, 1, 11, 23, 53, 35, 89, 91, 601, 433, 1671, 1919, 2115, 6355, 10639, 87305, 194185, 0};
static int joe_kuo_d6_initial_number14780[] = {1, 1, 5, 9, 29, 31, 43, 153, 209, 835, 865, 2431, 1085, 9771, 14483, 19551, 98673, 146881, 0};
static int joe_kuo_d6_initial_number14781[] = {1, 1, 7, 3, 7, 33, 49, 111, 111, 843, 479, 2113, 4575, 14911, 5161, 7153, 37525, 217887, 0};
static int joe_kuo_d6_initial_number14782[] = {1, 1, 7, 9, 27, 5, 23, 217, 11, 79, 1637, 2047, 6697, 5601, 2877, 63497, 100127, 157833, 0};
static int joe_kuo_d6_initial_number14783[] = {1, 1, 7, 11, 31, 41, 91, 39, 207, 185, 1163, 2115, 2963, 7605, 12597, 54175, 7221, 117129, 0};
static int joe_kuo_d6_initial_number14784[] = {1, 3, 7, 13, 9, 15, 3, 47, 281, 451, 1111, 3585, 4505, 9465, 8047, 45893, 27179, 124373, 0};
static int joe_kuo_d6_initial_number14785[] = {1, 3, 5, 11, 27, 29, 11, 221, 483, 29, 17, 1067, 6761, 39, 13419, 7263, 127547, 178951, 0};
static int joe_kuo_d6_initial_number14786[] = {1, 3, 5, 5, 19, 3, 51, 155, 41, 251, 851, 1191, 4445, 8337, 25339, 32931, 4743, 31883, 0};
static int joe_kuo_d6_initial_number14787[] = {1, 3, 7, 15, 9, 3, 113, 151, 239, 611, 381, 1141, 2865, 3071, 7293, 61997, 2891, 14533, 0};
static int joe_kuo_d6_initial_number14788[] = {1, 3, 5, 3, 15, 59, 3, 37, 385, 587, 837, 2483, 5493, 10571, 26129, 44835, 63425, 246953, 0};
static int joe_kuo_d6_initial_number14789[] = {1, 3, 5, 13, 9, 9, 93, 11, 139, 619, 581, 2859, 5481, 11941, 20661, 37463, 95369, 177009, 0};
static int joe_kuo_d6_initial_number14790[] = {1, 1, 7, 11, 7, 17, 89, 7, 479, 377, 1631, 509, 7429, 13733, 24011, 24191, 98409, 180761, 0};
static int joe_kuo_d6_initial_number14791[] = {1, 3, 7, 1, 5, 17, 51, 113, 181, 75, 1787, 2221, 6181, 16069, 3031, 32531, 107833, 239907, 0};
static int joe_kuo_d6_initial_number14792[] = {1, 1, 5, 11, 3, 25, 13, 35, 311, 865, 873, 1811, 3101, 4445, 18155, 18647, 55693, 144963, 0};
static int joe_kuo_d6_initial_number14793[] = {1, 3, 7, 13, 1, 9, 73, 189, 255, 301, 1579, 597, 6027, 15621, 27287, 14615, 76051, 143445, 0};
static int joe_kuo_d6_initial_number14794[] = {1, 3, 1, 13, 19, 59, 11, 97, 501, 857, 1071, 3633, 8059, 2469, 16803, 49395, 73631, 114297, 0};
static int joe_kuo_d6_initial_number14795[] = {1, 1, 1, 5, 19, 3, 59, 179, 343, 745, 497, 2965, 3841, 3119, 17707, 31577, 39801, 108819, 0};
static int joe_kuo_d6_initial_number14796[] = {1, 3, 3, 9, 11, 17, 19, 199, 283, 229, 493, 631, 8133, 1531, 25271, 11353, 114759, 70655, 0};
static int joe_kuo_d6_initial_number14797[] = {1, 1, 7, 7, 3, 11, 1, 95, 167, 863, 1009, 1695, 2773, 11667, 23515, 12927, 87883, 28773, 0};
static int joe_kuo_d6_initial_number14798[] = {1, 3, 1, 15, 9, 1, 31, 243, 57, 349, 483, 659, 1971, 7971, 23797, 4403, 83837, 239261, 0};
static int joe_kuo_d6_initial_number14799[] = {1, 3, 7, 5, 11, 17, 55, 5, 209, 233, 1969, 925, 695, 1321, 11965, 29849, 120519, 195105, 0};
static int joe_kuo_d6_initial_number14800[] = {1, 3, 7, 11, 9, 45, 27, 9, 57, 649, 1801, 2653, 1535, 45, 8901, 28755, 26475, 112341, 0};
static int joe_kuo_d6_initial_number14801[] = {1, 1, 3, 13, 11, 57, 103, 213, 193, 779, 541, 3685, 4191, 6105, 7199, 63659, 49673, 208361, 0};
static int joe_kuo_d6_initial_number14802[] = {1, 3, 3, 7, 15, 15, 9, 207, 387, 429, 1213, 1703, 5753, 10261, 8705, 62783, 9643, 248591, 0};
static int joe_kuo_d6_initial_number14803[] = {1, 3, 3, 15, 23, 17, 5, 83, 295, 685, 2003, 1723, 2799, 14699, 25171, 20275, 45597, 214107, 0};
static int joe_kuo_d6_initial_number14804[] = {1, 1, 1, 15, 13, 33, 111, 69, 329, 273, 1303, 3377, 4151, 12547, 20411, 54845, 7839, 173939, 0};
static int joe_kuo_d6_initial_number14805[] = {1, 1, 5, 15, 25, 31, 11, 75, 69, 501, 1485, 3659, 3889, 9715, 9633, 45313, 112377, 27799, 0};
static int joe_kuo_d6_initial_number14806[] = {1, 1, 3, 11, 31, 27, 7, 25, 315, 593, 315, 275, 1453, 9429, 10023, 17939, 37651, 217435, 0};
static int joe_kuo_d6_initial_number14807[] = {1, 3, 7, 7, 27, 41, 69, 95, 19, 763, 1733, 2097, 6723, 7051, 15209, 53047, 56117, 87639, 0};
static int joe_kuo_d6_initial_number14808[] = {1, 3, 7, 5, 15, 61, 31, 19, 361, 571, 727, 405, 835, 4847, 26777, 50311, 104125, 127197, 0};
static int joe_kuo_d6_initial_number14809[] = {1, 1, 1, 11, 11, 61, 59, 63, 409, 219, 1135, 3385, 5583, 16143, 22709, 31247, 19871, 68557, 0};
static int joe_kuo_d6_initial_number14810[] = {1, 3, 7, 1, 11, 3, 121, 41, 135, 427, 1267, 2169, 507, 757, 12411, 50655, 75625, 1199, 0};
static int joe_kuo_d6_initial_number14811[] = {1, 1, 7, 5, 17, 21, 89, 119, 55, 395, 979, 909, 1711, 3289, 8433, 9, 12743, 109027, 0};
static int joe_kuo_d6_initial_number14812[] = {1, 1, 1, 13, 5, 11, 93, 35, 437, 173, 1157, 2749, 6855, 8307, 26145, 22593, 125415, 65509, 0};
static int joe_kuo_d6_initial_number14813[] = {1, 1, 5, 3, 25, 27, 1, 173, 113, 373, 1769, 2941, 1895, 3399, 27665, 50613, 20747, 31903, 0};
static int joe_kuo_d6_initial_number14814[] = {1, 1, 1, 1, 9, 7, 53, 73, 465, 725, 1537, 579, 83, 925, 15507, 13595, 16927, 205087, 0};
static int joe_kuo_d6_initial_number14815[] = {1, 1, 3, 7, 7, 23, 31, 127, 27, 727, 1305, 3879, 817, 15995, 28607, 22695, 6367, 161587, 0};
static int joe_kuo_d6_initial_number14816[] = {1, 3, 1, 7, 29, 23, 27, 117, 279, 917, 1105, 2061, 7719, 13633, 16501, 33739, 71939, 143115, 0};
static int joe_kuo_d6_initial_number14817[] = {1, 3, 7, 11, 7, 27, 65, 133, 411, 441, 925, 1485, 2035, 3067, 14511, 58511, 120773, 228731, 0};
static int joe_kuo_d6_initial_number14818[] = {1, 1, 3, 9, 21, 55, 27, 73, 175, 395, 1201, 2599, 3839, 11163, 5057, 3385, 43265, 105211, 0};
static int joe_kuo_d6_initial_number14819[] = {1, 1, 1, 3, 7, 63, 91, 197, 417, 763, 1391, 3729, 2791, 1975, 23655, 50611, 110315, 86879, 0};
static int joe_kuo_d6_initial_number14820[] = {1, 3, 3, 5, 31, 35, 67, 67, 89, 933, 1005, 1837, 5947, 2559, 27731, 25151, 102959, 81557, 0};
static int joe_kuo_d6_initial_number14821[] = {1, 3, 3, 1, 3, 39, 57, 199, 87, 91, 1641, 3407, 2823, 10441, 26357, 56677, 17647, 86831, 0};
static int joe_kuo_d6_initial_number14822[] = {1, 3, 5, 7, 15, 5, 49, 227, 395, 837, 1707, 1677, 1907, 13101, 1929, 61701, 1479, 80671, 0};
static int joe_kuo_d6_initial_number14823[] = {1, 1, 1, 11, 17, 57, 37, 151, 61, 709, 2027, 2239, 3283, 5467, 17221, 40759, 91637, 258167, 0};
static int joe_kuo_d6_initial_number14824[] = {1, 3, 5, 11, 27, 29, 121, 181, 503, 705, 225, 1111, 7183, 3219, 3233, 2085, 113619, 32959, 0};
static int joe_kuo_d6_initial_number14825[] = {1, 1, 7, 5, 29, 31, 93, 113, 457, 161, 337, 2003, 1865, 13357, 19961, 51485, 62751, 111285, 0};
static int joe_kuo_d6_initial_number14826[] = {1, 3, 1, 1, 23, 25, 65, 99, 11, 835, 661, 3291, 2655, 1135, 19957, 5029, 110483, 2499, 0};
static int joe_kuo_d6_initial_number14827[] = {1, 1, 1, 1, 25, 21, 59, 203, 471, 697, 455, 1561, 3215, 609, 5097, 8715, 115705, 21441, 0};
static int joe_kuo_d6_initial_number14828[] = {1, 1, 5, 13, 27, 37, 15, 175, 191, 975, 977, 401, 7053, 14291, 14621, 48989, 113033, 172569, 0};
static int joe_kuo_d6_initial_number14829[] = {1, 3, 1, 1, 19, 11, 125, 53, 307, 421, 93, 2487, 5907, 2195, 30569, 21009, 20759, 246937, 0};
static int joe_kuo_d6_initial_number14830[] = {1, 3, 7, 3, 23, 21, 103, 115, 453, 537, 473, 1069, 3007, 15111, 3477, 5635, 46423, 68633, 0};
static int joe_kuo_d6_initial_number14831[] = {1, 3, 3, 1, 21, 1, 49, 197, 173, 775, 1877, 1309, 729, 3555, 5981, 32539, 22765, 171077, 0};
static int joe_kuo_d6_initial_number14832[] = {1, 1, 3, 13, 19, 5, 75, 149, 441, 665, 1567, 2433, 8173, 12639, 27479, 47221, 66203, 89017, 0};
static int joe_kuo_d6_initial_number14833[] = {1, 1, 1, 11, 1, 55, 99, 119, 491, 621, 619, 2521, 905, 11601, 26481, 2023, 127413, 220387, 0};
static int joe_kuo_d6_initial_number14834[] = {1, 1, 7, 11, 9, 21, 57, 93, 243, 229, 1445, 997, 1317, 2327, 14141, 45787, 82295, 72823, 0};
static int joe_kuo_d6_initial_number14835[] = {1, 3, 7, 3, 11, 7, 115, 143, 349, 507, 1047, 2573, 2491, 13351, 19019, 4857, 62781, 261261, 0};
static int joe_kuo_d6_initial_number14836[] = {1, 1, 3, 1, 1, 13, 45, 227, 41, 947, 693, 2853, 7459, 1485, 22087, 61195, 111771, 136389, 0};
static int joe_kuo_d6_initial_number14837[] = {1, 1, 3, 11, 13, 53, 49, 15, 425, 29, 681, 1493, 1385, 9555, 13291, 36735, 12351, 29293, 0};
static int joe_kuo_d6_initial_number14838[] = {1, 1, 3, 1, 5, 19, 37, 45, 69, 209, 365, 3949, 6163, 5207, 9297, 21147, 71437, 40487, 0};
static int joe_kuo_d6_initial_number14839[] = {1, 3, 3, 13, 31, 21, 9, 177, 95, 285, 1953, 1969, 7367, 7401, 12017, 9939, 11895, 213133, 0};
static int joe_kuo_d6_initial_number14840[] = {1, 1, 7, 1, 1, 63, 103, 141, 39, 679, 123, 2941, 4335, 199, 12237, 6599, 48641, 140063, 0};
static int joe_kuo_d6_initial_number14841[] = {1, 3, 7, 3, 31, 17, 21, 77, 65, 979, 109, 3325, 1781, 6983, 31477, 23149, 33943, 96137, 0};
static int joe_kuo_d6_initial_number14842[] = {1, 3, 3, 5, 21, 5, 125, 117, 427, 381, 511, 2643, 409, 4945, 3167, 45879, 1469, 56077, 0};
static int joe_kuo_d6_initial_number14843[] = {1, 3, 1, 5, 27, 43, 83, 31, 65, 645, 1205, 1387, 723, 15359, 13517, 23601, 61717, 47079, 0};
static int joe_kuo_d6_initial_number14844[] = {1, 3, 3, 13, 15, 37, 101, 175, 225, 513, 483, 1291, 669, 5335, 16023, 287, 51819, 239803, 0};
static int joe_kuo_d6_initial_number14845[] = {1, 3, 3, 3, 3, 1, 75, 175, 185, 949, 673, 2239, 4355, 10687, 27093, 37409, 23193, 211819, 0};
static int joe_kuo_d6_initial_number14846[] = {1, 1, 3, 13, 21, 3, 41, 55, 243, 501, 285, 7, 6291, 7725, 17051, 45753, 115117, 14323, 0};
static int joe_kuo_d6_initial_number14847[] = {1, 1, 1, 5, 13, 11, 51, 175, 435, 673, 67, 1525, 323, 5739, 19977, 62317, 97511, 130883, 0};
static int joe_kuo_d6_initial_number14848[] = {1, 3, 5, 11, 7, 11, 97, 59, 295, 409, 453, 2439, 5217, 10315, 469, 31187, 17325, 158079, 0};
static int joe_kuo_d6_initial_number14849[] = {1, 1, 3, 5, 31, 9, 15, 63, 411, 427, 277, 2687, 5021, 1507, 22453, 35559, 122081, 121669, 0};
static int joe_kuo_d6_initial_number14850[] = {1, 3, 5, 13, 3, 21, 69, 51, 27, 571, 1981, 2729, 5733, 1225, 26821, 43763, 57355, 169279, 0};
static int joe_kuo_d6_initial_number14851[] = {1, 1, 1, 13, 31, 37, 33, 19, 313, 341, 1141, 1689, 4511, 789, 15317, 61263, 79371, 65157, 0};
static int joe_kuo_d6_initial_number14852[] = {1, 3, 3, 15, 27, 41, 107, 23, 499, 339, 273, 1937, 2743, 10879, 27127, 64817, 1217, 45863, 0};
static int joe_kuo_d6_initial_number14853[] = {1, 1, 5, 9, 19, 43, 125, 223, 473, 489, 1999, 1513, 6479, 9511, 12503, 29419, 22559, 209499, 0};
static int joe_kuo_d6_initial_number14854[] = {1, 3, 1, 13, 25, 55, 53, 61, 303, 337, 1325, 2525, 6503, 1155, 6841, 58167, 8175, 183949, 0};
static int joe_kuo_d6_initial_number14855[] = {1, 3, 3, 11, 3, 15, 55, 105, 497, 527, 1007, 3545, 4187, 8723, 12761, 20751, 101583, 225373, 0};
static int joe_kuo_d6_initial_number14856[] = {1, 3, 3, 9, 19, 59, 57, 215, 313, 871, 407, 2475, 879, 15147, 31945, 23939, 104073, 217619, 0};
static int joe_kuo_d6_initial_number14857[] = {1, 1, 3, 1, 27, 23, 3, 43, 471, 757, 1525, 3003, 2779, 6731, 12423, 59621, 72935, 192283, 0};
static int joe_kuo_d6_initial_number14858[] = {1, 3, 1, 7, 13, 23, 13, 91, 95, 745, 639, 2627, 4595, 11735, 4143, 23573, 98647, 171201, 0};
static int joe_kuo_d6_initial_number14859[] = {1, 1, 1, 15, 3, 61, 33, 181, 351, 777, 1365, 1691, 2465, 5289, 24567, 8059, 95301, 75855, 0};
static int joe_kuo_d6_initial_number14860[] = {1, 3, 5, 13, 1, 57, 57, 187, 1, 601, 563, 1703, 1307, 14673, 7793, 44589, 7629, 254071, 0};
static int joe_kuo_d6_initial_number14861[] = {1, 1, 5, 13, 29, 17, 61, 233, 371, 909, 529, 185, 127, 15773, 19529, 49271, 26749, 70869, 0};
static int joe_kuo_d6_initial_number14862[] = {1, 1, 3, 9, 21, 41, 37, 71, 505, 969, 301, 1667, 5879, 13187, 2461, 17301, 103673, 235133, 0};
static int joe_kuo_d6_initial_number14863[] = {1, 3, 1, 3, 9, 13, 75, 63, 313, 273, 1061, 3821, 539, 9887, 19775, 17259, 93133, 217245, 0};
static int joe_kuo_d6_initial_number14864[] = {1, 3, 5, 5, 21, 27, 9, 11, 461, 575, 507, 577, 4559, 9995, 13953, 61023, 121941, 195419, 0};
static int joe_kuo_d6_initial_number14865[] = {1, 3, 3, 7, 17, 17, 45, 193, 271, 571, 1337, 2107, 1923, 4791, 23773, 60923, 58085, 81219, 0};
static int joe_kuo_d6_initial_number14866[] = {1, 3, 1, 7, 11, 7, 85, 33, 231, 307, 993, 1509, 1427, 9545, 7919, 39775, 81145, 79139, 0};
static int joe_kuo_d6_initial_number14867[] = {1, 3, 5, 3, 9, 57, 117, 187, 57, 719, 1635, 2499, 6747, 6649, 22643, 16429, 83233, 122057, 0};
static int joe_kuo_d6_initial_number14868[] = {1, 1, 3, 11, 7, 39, 103, 221, 167, 181, 1355, 989, 3399, 9471, 10493, 57267, 106551, 158599, 0};
static int joe_kuo_d6_initial_number14869[] = {1, 3, 1, 15, 23, 19, 29, 11, 355, 923, 1401, 509, 3647, 5663, 2353, 53217, 70687, 145613, 0};
static int joe_kuo_d6_initial_number14870[] = {1, 3, 3, 11, 11, 5, 21, 107, 177, 429, 119, 1029, 5931, 7543, 15455, 62797, 118095, 35387, 0};
static int joe_kuo_d6_initial_number14871[] = {1, 3, 5, 15, 19, 53, 17, 215, 279, 497, 1157, 2235, 5541, 5899, 20711, 20843, 113821, 164231, 0};
static int joe_kuo_d6_initial_number14872[] = {1, 1, 1, 15, 21, 33, 67, 247, 55, 573, 1863, 2703, 5267, 4071, 18235, 44659, 102379, 171529, 0};
static int joe_kuo_d6_initial_number14873[] = {1, 3, 1, 15, 5, 59, 69, 189, 313, 243, 339, 3097, 4999, 5909, 1903, 56143, 76209, 83073, 0};
static int joe_kuo_d6_initial_number14874[] = {1, 3, 5, 15, 11, 41, 65, 207, 95, 115, 1203, 3731, 6845, 11173, 8281, 40623, 97119, 218455, 0};
static int joe_kuo_d6_initial_number14875[] = {1, 3, 7, 13, 29, 57, 5, 31, 255, 539, 107, 953, 3707, 9233, 20295, 17459, 2005, 56193, 0};
static int joe_kuo_d6_initial_number14876[] = {1, 1, 1, 15, 5, 31, 83, 165, 211, 433, 1411, 2949, 4817, 1645, 1693, 9877, 118493, 142923, 0};
static int joe_kuo_d6_initial_number14877[] = {1, 3, 1, 11, 19, 61, 35, 21, 159, 159, 1717, 3227, 3351, 8641, 20575, 13721, 114649, 129201, 0};
static int joe_kuo_d6_initial_number14878[] = {1, 3, 1, 13, 9, 41, 17, 7, 209, 501, 445, 23, 7911, 5867, 30129, 643, 36363, 52037, 0};
static int joe_kuo_d6_initial_number14879[] = {1, 3, 5, 11, 31, 55, 27, 81, 413, 167, 599, 2231, 7055, 4013, 26729, 63927, 12075, 208123, 0};
static int joe_kuo_d6_initial_number14880[] = {1, 1, 7, 9, 11, 39, 99, 187, 169, 999, 609, 3647, 2497, 8969, 30919, 29145, 67699, 51601, 0};
static int joe_kuo_d6_initial_number14881[] = {1, 3, 1, 1, 11, 11, 69, 29, 197, 979, 1135, 869, 5435, 5151, 26349, 55911, 68051, 131849, 0};
static int joe_kuo_d6_initial_number14882[] = {1, 1, 1, 5, 27, 1, 85, 145, 439, 585, 1713, 677, 1833, 14139, 5547, 31265, 82223, 47605, 0};
static int joe_kuo_d6_initial_number14883[] = {1, 3, 5, 9, 17, 23, 31, 199, 447, 551, 683, 2977, 7839, 8681, 15923, 61057, 89875, 52945, 0};
static int joe_kuo_d6_initial_number14884[] = {1, 1, 3, 11, 9, 17, 29, 125, 195, 123, 1259, 2729, 3099, 2229, 9683, 13121, 105399, 111833, 0};
static int joe_kuo_d6_initial_number14885[] = {1, 3, 1, 3, 1, 47, 93, 117, 461, 633, 1641, 933, 7927, 13569, 483, 28159, 121561, 164325, 0};
static int joe_kuo_d6_initial_number14886[] = {1, 3, 1, 5, 21, 19, 79, 183, 395, 23, 767, 519, 4857, 10385, 12425, 26207, 114623, 37125, 0};
static int joe_kuo_d6_initial_number14887[] = {1, 1, 5, 5, 9, 47, 67, 217, 499, 843, 1539, 301, 1485, 3157, 22375, 47199, 26215, 182785, 0};
static int joe_kuo_d6_initial_number14888[] = {1, 1, 1, 13, 9, 37, 87, 49, 445, 681, 1097, 1049, 4093, 13167, 18447, 58243, 41797, 217929, 0};
static int joe_kuo_d6_initial_number14889[] = {1, 1, 5, 13, 13, 49, 21, 149, 79, 113, 1217, 921, 6321, 9345, 27987, 21723, 49249, 18813, 0};
static int joe_kuo_d6_initial_number14890[] = {1, 3, 1, 3, 15, 27, 67, 69, 131, 713, 1741, 1955, 5665, 8749, 11971, 11257, 13999, 124535, 0};
static int joe_kuo_d6_initial_number14891[] = {1, 3, 1, 3, 3, 11, 21, 167, 441, 557, 593, 3261, 3099, 2801, 21725, 23247, 106891, 129187, 0};
static int joe_kuo_d6_initial_number14892[] = {1, 1, 1, 11, 5, 55, 33, 71, 505, 85, 1609, 521, 5459, 12777, 13007, 255, 67537, 2877, 0};
static int joe_kuo_d6_initial_number14893[] = {1, 1, 1, 3, 31, 47, 49, 119, 351, 797, 1407, 4089, 2381, 12409, 12849, 23489, 53631, 119387, 0};
static int joe_kuo_d6_initial_number14894[] = {1, 3, 5, 11, 25, 11, 25, 185, 85, 849, 141, 385, 3663, 13133, 8451, 61463, 35129, 149933, 0};
static int joe_kuo_d6_initial_number14895[] = {1, 3, 7, 9, 23, 17, 21, 197, 15, 893, 939, 707, 5491, 7249, 14009, 18973, 111545, 36809, 0};
static int joe_kuo_d6_initial_number14896[] = {1, 3, 3, 13, 23, 15, 19, 193, 223, 627, 1529, 1963, 1003, 7199, 15361, 25233, 110281, 221761, 0};
static int joe_kuo_d6_initial_number14897[] = {1, 3, 3, 1, 17, 51, 61, 215, 311, 919, 349, 59, 2897, 12137, 5931, 37611, 124387, 83503, 0};
static int joe_kuo_d6_initial_number14898[] = {1, 3, 7, 9, 13, 47, 53, 139, 481, 733, 389, 1209, 3281, 593, 29103, 61521, 41445, 11015, 0};
static int joe_kuo_d6_initial_number14899[] = {1, 1, 1, 13, 3, 31, 19, 47, 151, 883, 1707, 827, 2129, 4333, 871, 42967, 79701, 192211, 0};
static int joe_kuo_d6_initial_number14900[] = {1, 3, 3, 11, 11, 51, 121, 241, 199, 881, 1493, 2381, 5161, 13287, 8155, 52481, 120307, 206203, 0};
static int joe_kuo_d6_initial_number14901[] = {1, 1, 1, 13, 15, 37, 27, 151, 17, 851, 1343, 1447, 43, 10267, 18267, 21347, 129277, 83987, 0};
static int joe_kuo_d6_initial_number14902[] = {1, 1, 3, 3, 13, 17, 53, 217, 253, 853, 1461, 1953, 617, 4209, 9925, 377, 42789, 150415, 0};
static int joe_kuo_d6_initial_number14903[] = {1, 3, 7, 11, 13, 23, 83, 235, 39, 701, 1091, 25, 1807, 15431, 2169, 5339, 123679, 117053, 0};
static int joe_kuo_d6_initial_number14904[] = {1, 3, 7, 13, 3, 29, 43, 149, 33, 873, 1177, 1961, 7943, 11317, 30725, 55765, 50929, 12335, 0};
static int joe_kuo_d6_initial_number14905[] = {1, 1, 3, 5, 25, 1, 91, 121, 295, 25, 1743, 2125, 2643, 11175, 15089, 44979, 28355, 543, 0};
static int joe_kuo_d6_initial_number14906[] = {1, 1, 1, 13, 27, 27, 43, 195, 377, 821, 437, 3445, 2673, 15221, 15101, 25143, 22347, 218549, 0};
static int joe_kuo_d6_initial_number14907[] = {1, 1, 3, 7, 9, 51, 121, 231, 91, 913, 1325, 167, 8067, 8119, 9307, 33551, 58069, 170567, 0};
static int joe_kuo_d6_initial_number14908[] = {1, 3, 7, 7, 15, 7, 85, 51, 11, 353, 1117, 2479, 3091, 2377, 23589, 38537, 113047, 261285, 0};
static int joe_kuo_d6_initial_number14909[] = {1, 1, 3, 5, 15, 33, 61, 145, 147, 815, 767, 9, 2059, 11463, 1883, 8565, 101043, 117565, 0};
static int joe_kuo_d6_initial_number14910[] = {1, 3, 5, 3, 5, 49, 5, 33, 15, 13, 895, 3973, 7963, 3831, 26817, 10799, 111409, 90679, 0};
static int joe_kuo_d6_initial_number14911[] = {1, 1, 5, 7, 5, 51, 35, 237, 217, 531, 719, 2711, 1937, 16071, 23233, 22799, 66023, 145739, 0};
static int joe_kuo_d6_initial_number14912[] = {1, 3, 5, 1, 5, 63, 1, 163, 9, 697, 1379, 2989, 7113, 9821, 15941, 6495, 7825, 29715, 0};
static int joe_kuo_d6_initial_number14913[] = {1, 3, 5, 7, 9, 41, 113, 173, 151, 963, 2019, 3531, 1133, 4287, 16917, 16929, 12345, 31201, 0};
static int joe_kuo_d6_initial_number14914[] = {1, 3, 7, 1, 25, 9, 5, 195, 175, 297, 717, 3725, 33, 5155, 4405, 56171, 105597, 132407, 0};
static int joe_kuo_d6_initial_number14915[] = {1, 1, 7, 7, 3, 59, 115, 95, 227, 951, 843, 619, 7791, 10981, 11773, 57651, 108391, 179561, 0};
static int joe_kuo_d6_initial_number14916[] = {1, 3, 3, 1, 9, 3, 59, 161, 417, 413, 1933, 1027, 4575, 10427, 15643, 16049, 120089, 176607, 0};
static int joe_kuo_d6_initial_number14917[] = {1, 3, 3, 3, 15, 1, 83, 195, 59, 859, 1669, 1063, 2069, 15875, 16459, 53741, 114521, 37641, 0};
static int joe_kuo_d6_initial_number14918[] = {1, 1, 1, 11, 11, 45, 47, 143, 11, 239, 1329, 865, 2693, 899, 26265, 43255, 125679, 130099, 0};
static int joe_kuo_d6_initial_number14919[] = {1, 3, 5, 3, 31, 51, 95, 127, 79, 167, 117, 3177, 5875, 14039, 20341, 47815, 118799, 211871, 0};
static int joe_kuo_d6_initial_number14920[] = {1, 1, 1, 1, 3, 21, 65, 203, 11, 565, 537, 1307, 8189, 11423, 7745, 56117, 110959, 95361, 0};
static int joe_kuo_d6_initial_number14921[] = {1, 1, 7, 7, 21, 63, 63, 231, 441, 127, 1943, 13, 4813, 10607, 23867, 43891, 15801, 173245, 0};
static int joe_kuo_d6_initial_number14922[] = {1, 3, 3, 5, 25, 23, 123, 133, 129, 303, 1993, 1453, 1109, 4649, 30315, 62399, 121575, 60069, 0};
static int joe_kuo_d6_initial_number14923[] = {1, 3, 5, 3, 29, 23, 69, 141, 137, 1017, 1915, 35, 3817, 6249, 22427, 7281, 88473, 230167, 0};
static int joe_kuo_d6_initial_number14924[] = {1, 3, 7, 7, 19, 37, 93, 217, 287, 731, 583, 3377, 2879, 4873, 5549, 52949, 127285, 211173, 0};
static int joe_kuo_d6_initial_number14925[] = {1, 1, 5, 7, 23, 41, 49, 145, 277, 571, 1225, 455, 2133, 1229, 25421, 20179, 70919, 242825, 0};
static int joe_kuo_d6_initial_number14926[] = {1, 3, 5, 5, 29, 3, 1, 89, 413, 901, 1343, 3963, 6969, 14649, 18331, 4573, 82077, 100693, 0};
static int joe_kuo_d6_initial_number14927[] = {1, 1, 1, 13, 31, 53, 107, 95, 151, 539, 1593, 3763, 1007, 8959, 25235, 16461, 121819, 106143, 0};
static int joe_kuo_d6_initial_number14928[] = {1, 1, 1, 3, 11, 15, 5, 157, 347, 81, 2013, 2025, 6541, 12287, 1315, 23285, 23539, 75027, 0};
static int joe_kuo_d6_initial_number14929[] = {1, 1, 5, 7, 17, 11, 65, 157, 93, 607, 1445, 4089, 3139, 4699, 1225, 58935, 93673, 146467, 0};
static int joe_kuo_d6_initial_number14930[] = {1, 3, 3, 13, 29, 59, 69, 141, 257, 463, 93, 649, 8179, 15205, 6943, 45317, 31269, 70825, 0};
static int joe_kuo_d6_initial_number14931[] = {1, 3, 5, 9, 23, 39, 113, 61, 315, 463, 1739, 149, 6007, 2789, 12021, 969, 18551, 153669, 0};
static int joe_kuo_d6_initial_number14932[] = {1, 1, 3, 15, 19, 9, 23, 211, 265, 877, 325, 2635, 8131, 4957, 24371, 60975, 3887, 198927, 0};
static int joe_kuo_d6_initial_number14933[] = {1, 1, 3, 11, 29, 31, 5, 105, 157, 573, 2009, 1701, 1549, 1641, 17429, 13587, 48421, 8675, 0};
static int joe_kuo_d6_initial_number14934[] = {1, 1, 5, 13, 3, 13, 17, 55, 101, 369, 705, 3635, 5195, 10439, 12881, 21565, 1671, 75489, 0};
static int joe_kuo_d6_initial_number14935[] = {1, 3, 3, 1, 1, 23, 85, 189, 347, 205, 5, 3465, 3269, 3347, 10163, 26921, 86555, 9387, 0};
static int joe_kuo_d6_initial_number14936[] = {1, 3, 7, 15, 27, 21, 79, 151, 279, 627, 1093, 1929, 5549, 12141, 5245, 55747, 65939, 193759, 0};
static int joe_kuo_d6_initial_number14937[] = {1, 1, 1, 5, 5, 23, 57, 235, 143, 129, 795, 35, 4375, 12577, 871, 20879, 82811, 52279, 0};
static int joe_kuo_d6_initial_number14938[] = {1, 3, 1, 5, 11, 1, 125, 99, 89, 629, 857, 2631, 393, 15075, 27473, 42695, 61505, 239651, 0};
static int joe_kuo_d6_initial_number14939[] = {1, 1, 5, 1, 9, 11, 55, 203, 453, 677, 259, 1979, 4101, 16067, 26783, 17907, 75349, 62797, 0};
static int joe_kuo_d6_initial_number14940[] = {1, 3, 7, 5, 5, 19, 85, 165, 341, 405, 1779, 87, 889, 265, 9851, 36175, 69697, 123769, 0};
static int joe_kuo_d6_initial_number14941[] = {1, 3, 7, 1, 7, 49, 93, 57, 85, 597, 183, 3253, 6301, 9307, 8753, 38133, 58743, 19621, 0};
static int joe_kuo_d6_initial_number14942[] = {1, 1, 3, 9, 1, 15, 125, 215, 391, 141, 87, 37, 4333, 5033, 30549, 64281, 18577, 156093, 0};
static int joe_kuo_d6_initial_number14943[] = {1, 3, 3, 15, 17, 25, 29, 81, 339, 865, 1619, 773, 901, 8163, 22275, 57159, 119951, 137451, 0};
static int joe_kuo_d6_initial_number14944[] = {1, 3, 5, 15, 7, 57, 113, 221, 13, 49, 1653, 3695, 4423, 4383, 28669, 64175, 130355, 202543, 0};
static int joe_kuo_d6_initial_number14945[] = {1, 1, 3, 9, 29, 21, 19, 119, 409, 717, 1853, 3981, 4489, 3985, 31205, 10423, 13223, 131973, 0};
static int joe_kuo_d6_initial_number14946[] = {1, 1, 3, 15, 29, 7, 1, 85, 133, 345, 317, 2363, 7803, 4975, 19441, 10497, 42059, 131531, 0};
static int joe_kuo_d6_initial_number14947[] = {1, 1, 7, 13, 3, 53, 49, 27, 487, 901, 801, 335, 6317, 14205, 26655, 52747, 102659, 231359, 0};
static int joe_kuo_d6_initial_number14948[] = {1, 3, 3, 3, 13, 33, 113, 107, 407, 499, 903, 3059, 1343, 11859, 6315, 23071, 73627, 44239, 0};
static int joe_kuo_d6_initial_number14949[] = {1, 3, 5, 15, 1, 53, 59, 247, 213, 981, 443, 3, 615, 12067, 3881, 61759, 101219, 110407, 0};
static int joe_kuo_d6_initial_number14950[] = {1, 3, 5, 13, 7, 31, 87, 161, 61, 1023, 147, 2075, 7245, 9025, 7229, 60935, 104481, 169561, 0};
static int joe_kuo_d6_initial_number14951[] = {1, 3, 1, 15, 25, 17, 53, 107, 311, 621, 1493, 2443, 4635, 12163, 12543, 43031, 90843, 139645, 0};
static int joe_kuo_d6_initial_number14952[] = {1, 3, 5, 11, 7, 49, 91, 165, 91, 329, 493, 3533, 7429, 7047, 14767, 31641, 62005, 77267, 0};
static int joe_kuo_d6_initial_number14953[] = {1, 1, 3, 9, 31, 21, 19, 167, 185, 199, 1989, 1093, 4213, 4769, 21659, 19685, 122123, 215233, 0};
static int joe_kuo_d6_initial_number14954[] = {1, 3, 3, 7, 27, 23, 99, 205, 365, 689, 1281, 419, 4207, 5355, 20245, 25029, 123029, 61499, 0};
static int joe_kuo_d6_initial_number14955[] = {1, 3, 3, 7, 19, 15, 29, 185, 165, 203, 1859, 2895, 6361, 6331, 13641, 42577, 33757, 41305, 0};
static int joe_kuo_d6_initial_number14956[] = {1, 3, 5, 11, 21, 43, 15, 11, 425, 125, 1597, 1109, 3335, 7009, 20799, 41261, 127813, 181261, 0};
static int joe_kuo_d6_initial_number14957[] = {1, 1, 5, 5, 27, 35, 35, 159, 111, 1011, 1487, 813, 4985, 2555, 23741, 44675, 97159, 250477, 0};
static int joe_kuo_d6_initial_number14958[] = {1, 3, 3, 7, 17, 41, 81, 187, 367, 767, 1345, 205, 5797, 9129, 21973, 39911, 130131, 96891, 0};
static int joe_kuo_d6_initial_number14959[] = {1, 3, 5, 1, 1, 47, 57, 177, 127, 791, 1427, 1895, 5995, 12569, 32711, 58599, 55641, 80405, 0};
static int joe_kuo_d6_initial_number14960[] = {1, 3, 3, 1, 23, 13, 115, 81, 511, 677, 775, 3143, 4963, 7093, 15963, 59893, 22609, 137601, 0};
static int joe_kuo_d6_initial_number14961[] = {1, 1, 5, 9, 17, 17, 115, 127, 397, 139, 1171, 207, 3485, 15869, 465, 26267, 29957, 205459, 0};
static int joe_kuo_d6_initial_number14962[] = {1, 3, 7, 3, 9, 29, 23, 189, 447, 481, 753, 2415, 2669, 6007, 15201, 7317, 18861, 173759, 0};
static int joe_kuo_d6_initial_number14963[] = {1, 3, 5, 7, 13, 43, 13, 163, 363, 683, 1869, 1237, 2523, 3661, 13887, 5593, 91513, 220177, 0};
static int joe_kuo_d6_initial_number14964[] = {1, 1, 1, 11, 7, 11, 43, 39, 319, 793, 375, 3159, 7621, 8965, 25743, 351, 31873, 18115, 0};
static int joe_kuo_d6_initial_number14965[] = {1, 1, 5, 5, 11, 57, 79, 147, 55, 553, 417, 1365, 3979, 9789, 22677, 58645, 104549, 9019, 0};
static int joe_kuo_d6_initial_number14966[] = {1, 1, 3, 11, 17, 37, 127, 5, 165, 867, 79, 2259, 197, 4789, 28109, 46721, 3431, 118939, 0};
static int joe_kuo_d6_initial_number14967[] = {1, 1, 5, 13, 19, 45, 113, 11, 125, 351, 1753, 3201, 1697, 2567, 9717, 22247, 84309, 248583, 0};
static int joe_kuo_d6_initial_number14968[] = {1, 1, 5, 9, 5, 37, 65, 47, 261, 855, 1573, 2267, 7977, 13029, 32527, 59805, 103591, 180041, 0};
static int joe_kuo_d6_initial_number14969[] = {1, 3, 3, 9, 31, 5, 115, 159, 111, 899, 1907, 2671, 1575, 7021, 10281, 34905, 641, 63549, 0};
static int joe_kuo_d6_initial_number14970[] = {1, 3, 5, 1, 17, 61, 45, 9, 375, 761, 117, 1767, 4657, 12217, 12067, 42807, 118587, 72715, 0};
static int joe_kuo_d6_initial_number14971[] = {1, 1, 1, 13, 3, 3, 93, 3, 351, 97, 119, 1743, 81, 12761, 22529, 47191, 111315, 256501, 0};
static int joe_kuo_d6_initial_number14972[] = {1, 1, 5, 7, 29, 23, 41, 9, 231, 567, 1565, 3539, 7241, 11535, 7375, 10391, 127045, 9371, 0};
static int joe_kuo_d6_initial_number14973[] = {1, 1, 1, 15, 23, 47, 39, 57, 73, 809, 513, 3233, 8071, 8595, 13817, 821, 89091, 107173, 0};
static int joe_kuo_d6_initial_number14974[] = {1, 1, 1, 13, 13, 43, 75, 239, 487, 175, 1561, 3925, 3743, 14247, 15713, 55005, 116135, 199827, 0};
static int joe_kuo_d6_initial_number14975[] = {1, 1, 3, 7, 13, 15, 67, 147, 77, 241, 1763, 651, 1107, 4943, 15651, 23259, 45931, 34717, 0};
static int joe_kuo_d6_initial_number14976[] = {1, 1, 3, 5, 15, 15, 67, 153, 163, 179, 1567, 685, 3245, 2205, 8373, 56567, 32091, 23313, 0};
static int joe_kuo_d6_initial_number14977[] = {1, 1, 7, 9, 1, 27, 79, 209, 263, 517, 635, 3, 103, 2173, 22659, 11319, 103757, 144449, 0};
static int joe_kuo_d6_initial_number14978[] = {1, 1, 1, 5, 11, 63, 21, 89, 443, 775, 327, 1559, 1421, 2309, 18597, 46385, 16547, 186813, 0};
static int joe_kuo_d6_initial_number14979[] = {1, 1, 7, 9, 27, 37, 43, 7, 305, 117, 1103, 1801, 3349, 12225, 28215, 8857, 118677, 88909, 0};
static int joe_kuo_d6_initial_number14980[] = {1, 3, 3, 7, 15, 59, 21, 19, 371, 81, 755, 1565, 4823, 16363, 20301, 33571, 74423, 177205, 0};
static int joe_kuo_d6_initial_number14981[] = {1, 1, 3, 9, 15, 33, 23, 31, 171, 713, 271, 2437, 3609, 4271, 24355, 46283, 121767, 188501, 0};
static int joe_kuo_d6_initial_number14982[] = {1, 1, 1, 1, 21, 3, 3, 241, 339, 211, 443, 1577, 343, 2625, 1077, 29933, 106401, 51439, 0};
static int joe_kuo_d6_initial_number14983[] = {1, 3, 5, 15, 13, 31, 11, 167, 15, 101, 373, 2095, 3017, 1347, 15029, 6579, 21233, 87589, 0};
static int joe_kuo_d6_initial_number14984[] = {1, 3, 1, 3, 15, 1, 61, 239, 13, 867, 1621, 2275, 5757, 8275, 7923, 44469, 113513, 84927, 0};
static int joe_kuo_d6_initial_number14985[] = {1, 1, 1, 13, 23, 27, 101, 25, 459, 517, 127, 1131, 669, 13209, 23671, 3379, 66091, 72919, 0};
static int joe_kuo_d6_initial_number14986[] = {1, 3, 5, 7, 29, 53, 25, 185, 101, 707, 281, 183, 2823, 7241, 3127, 48093, 20195, 208349, 0};
static int joe_kuo_d6_initial_number14987[] = {1, 3, 3, 15, 31, 11, 3, 165, 453, 609, 1053, 3937, 1989, 13887, 13415, 8005, 103537, 17853, 0};
static int joe_kuo_d6_initial_number14988[] = {1, 1, 3, 7, 3, 41, 13, 67, 227, 265, 767, 391, 1835, 8827, 13131, 42605, 117089, 12475, 0};
static int joe_kuo_d6_initial_number14989[] = {1, 1, 7, 3, 15, 31, 45, 157, 261, 207, 1109, 1587, 5389, 13239, 31697, 35969, 79839, 209633, 0};
static int joe_kuo_d6_initial_number14990[] = {1, 1, 5, 9, 31, 3, 35, 187, 5, 945, 633, 2645, 171, 2221, 18369, 41765, 82373, 8007, 0};
static int joe_kuo_d6_initial_number14991[] = {1, 1, 7, 7, 3, 57, 73, 103, 245, 811, 1637, 101, 6335, 9911, 663, 21779, 31681, 119141, 0};
static int joe_kuo_d6_initial_number14992[] = {1, 1, 5, 13, 27, 25, 5, 203, 183, 251, 1803, 665, 6295, 965, 5269, 379, 78455, 7097, 0};
static int joe_kuo_d6_initial_number14993[] = {1, 1, 5, 3, 19, 55, 45, 161, 481, 737, 1903, 1093, 3313, 4427, 7959, 6231, 94769, 123827, 0};
static int joe_kuo_d6_initial_number14994[] = {1, 1, 7, 11, 29, 41, 77, 165, 49, 875, 137, 2003, 8093, 1941, 25979, 10765, 99241, 71275, 0};
static int joe_kuo_d6_initial_number14995[] = {1, 3, 5, 3, 23, 1, 89, 163, 293, 701, 29, 2543, 4487, 14873, 28123, 48643, 31633, 74179, 0};
static int joe_kuo_d6_initial_number14996[] = {1, 1, 7, 1, 13, 33, 33, 173, 111, 959, 205, 1633, 3127, 3963, 6455, 41809, 60655, 247121, 0};
static int joe_kuo_d6_initial_number14997[] = {1, 3, 5, 13, 1, 49, 87, 217, 381, 125, 823, 837, 3967, 8157, 11097, 35721, 93591, 3939, 0};
static int joe_kuo_d6_initial_number14998[] = {1, 3, 7, 1, 7, 27, 29, 21, 295, 127, 823, 2409, 1873, 2417, 27961, 39211, 14785, 71557, 0};
static int joe_kuo_d6_initial_number14999[] = {1, 3, 1, 5, 31, 59, 43, 121, 217, 417, 2029, 3983, 5629, 10447, 1073, 57515, 58849, 178927, 0};
static int joe_kuo_d6_initial_number15000[] = {1, 3, 3, 11, 5, 59, 45, 39, 269, 483, 757, 3245, 4383, 11127, 26535, 17395, 60953, 259333, 0};
static int joe_kuo_d6_initial_number15001[] = {1, 1, 1, 5, 5, 49, 81, 241, 371, 353, 1293, 3375, 6725, 11891, 5973, 13901, 37999, 17751, 0};
static int joe_kuo_d6_initial_number15002[] = {1, 3, 3, 7, 31, 21, 45, 107, 33, 911, 1869, 2643, 2655, 3979, 5509, 33065, 128463, 246937, 0};
static int joe_kuo_d6_initial_number15003[] = {1, 1, 1, 1, 31, 33, 99, 29, 485, 11, 1423, 1775, 2045, 741, 30691, 53957, 13891, 57303, 0};
static int joe_kuo_d6_initial_number15004[] = {1, 1, 7, 13, 7, 37, 117, 121, 51, 743, 887, 1769, 1049, 12859, 1663, 27763, 90969, 38935, 0};
static int joe_kuo_d6_initial_number15005[] = {1, 3, 5, 7, 3, 41, 121, 89, 461, 979, 457, 2973, 8109, 13819, 30237, 54671, 66967, 135233, 0};
static int joe_kuo_d6_initial_number15006[] = {1, 1, 7, 13, 13, 47, 51, 121, 295, 847, 681, 1163, 8123, 14179, 26561, 54057, 74043, 146155, 0};
static int joe_kuo_d6_initial_number15007[] = {1, 3, 3, 11, 21, 15, 9, 85, 445, 11, 1525, 3165, 5929, 12481, 10769, 31885, 51487, 248933, 0};
static int joe_kuo_d6_initial_number15008[] = {1, 3, 1, 9, 25, 41, 59, 139, 293, 1021, 2043, 967, 3949, 7309, 6545, 62761, 37761, 22395, 0};
static int joe_kuo_d6_initial_number15009[] = {1, 3, 7, 15, 25, 45, 29, 75, 283, 845, 687, 3285, 7263, 10237, 5343, 58635, 85137, 2387, 0};
static int joe_kuo_d6_initial_number15010[] = {1, 1, 3, 15, 29, 33, 111, 175, 251, 181, 709, 1373, 1661, 1155, 30479, 57823, 28809, 74117, 0};
static int joe_kuo_d6_initial_number15011[] = {1, 3, 3, 5, 11, 37, 55, 155, 439, 173, 1861, 1713, 1675, 12119, 12531, 50995, 124657, 58321, 0};
static int joe_kuo_d6_initial_number15012[] = {1, 1, 5, 13, 1, 23, 27, 141, 3, 985, 1439, 781, 7381, 2223, 26673, 46607, 54953, 24547, 0};
static int joe_kuo_d6_initial_number15013[] = {1, 1, 5, 7, 5, 3, 41, 115, 503, 731, 633, 3631, 3455, 15937, 22639, 41163, 65243, 233749, 0};
static int joe_kuo_d6_initial_number15014[] = {1, 3, 1, 1, 5, 57, 89, 35, 53, 653, 1763, 1247, 6999, 1811, 28191, 52327, 129421, 191093, 0};
static int joe_kuo_d6_initial_number15015[] = {1, 3, 3, 9, 3, 27, 107, 13, 475, 409, 1623, 483, 3127, 12841, 4777, 36157, 24967, 89795, 0};
static int joe_kuo_d6_initial_number15016[] = {1, 1, 3, 5, 7, 29, 15, 225, 257, 923, 251, 21, 4559, 3571, 9351, 1739, 37393, 170789, 0};
static int joe_kuo_d6_initial_number15017[] = {1, 3, 7, 5, 11, 7, 107, 237, 343, 665, 767, 2293, 4781, 4811, 11227, 25045, 3951, 44307, 0};
static int joe_kuo_d6_initial_number15018[] = {1, 3, 7, 7, 13, 31, 47, 9, 121, 441, 1011, 2015, 8053, 355, 13441, 23213, 60675, 259761, 0};
static int joe_kuo_d6_initial_number15019[] = {1, 1, 5, 9, 21, 61, 85, 141, 271, 577, 17, 243, 3049, 2479, 28947, 53351, 67379, 211133, 0};
static int joe_kuo_d6_initial_number15020[] = {1, 1, 1, 15, 23, 1, 119, 141, 311, 543, 1463, 3633, 8111, 9439, 4147, 64913, 28261, 197217, 0};
static int joe_kuo_d6_initial_number15021[] = {1, 3, 1, 15, 15, 33, 125, 231, 225, 797, 605, 259, 3673, 10423, 7541, 26289, 61681, 136463, 0};
static int joe_kuo_d6_initial_number15022[] = {1, 3, 1, 13, 23, 15, 15, 151, 289, 657, 1883, 2923, 6861, 1411, 17159, 9353, 79463, 135813, 0};
static int joe_kuo_d6_initial_number15023[] = {1, 3, 7, 11, 5, 59, 101, 167, 291, 63, 753, 1105, 8173, 2389, 22097, 7207, 110377, 15797, 0};
static int joe_kuo_d6_initial_number15024[] = {1, 3, 7, 15, 7, 9, 7, 135, 303, 675, 1803, 2827, 1711, 9543, 16567, 24075, 17065, 22193, 0};
static int joe_kuo_d6_initial_number15025[] = {1, 3, 5, 7, 17, 7, 125, 57, 423, 733, 1813, 4031, 713, 10687, 27315, 37599, 78807, 103429, 0};
static int joe_kuo_d6_initial_number15026[] = {1, 1, 5, 15, 21, 11, 87, 21, 415, 571, 1169, 2561, 7071, 12499, 195, 20111, 116757, 157731, 0};
static int joe_kuo_d6_initial_number15027[] = {1, 3, 3, 15, 7, 33, 11, 241, 23, 189, 599, 2891, 2829, 13327, 21777, 57733, 38583, 162161, 0};
static int joe_kuo_d6_initial_number15028[] = {1, 1, 1, 15, 3, 49, 7, 143, 291, 301, 1439, 793, 3447, 1167, 2815, 24875, 117437, 112561, 0};
static int joe_kuo_d6_initial_number15029[] = {1, 3, 5, 13, 29, 11, 51, 255, 365, 741, 1919, 2091, 2865, 12721, 4329, 37281, 128703, 739, 0};
static int joe_kuo_d6_initial_number15030[] = {1, 1, 1, 13, 19, 31, 39, 141, 81, 133, 297, 3837, 7537, 16043, 11755, 10289, 74399, 95371, 0};
static int joe_kuo_d6_initial_number15031[] = {1, 1, 7, 5, 21, 35, 125, 109, 241, 217, 1219, 2617, 1925, 9573, 19305, 44689, 89365, 248869, 0};
static int joe_kuo_d6_initial_number15032[] = {1, 3, 5, 5, 13, 33, 43, 221, 325, 267, 837, 809, 6025, 9847, 9267, 13465, 45937, 204339, 0};
static int joe_kuo_d6_initial_number15033[] = {1, 3, 1, 3, 25, 53, 85, 249, 105, 619, 917, 1213, 5365, 6197, 22929, 27529, 71011, 141651, 0};
static int joe_kuo_d6_initial_number15034[] = {1, 1, 5, 1, 29, 9, 27, 161, 269, 775, 1043, 303, 4503, 5059, 479, 17237, 51383, 152495, 0};
static int joe_kuo_d6_initial_number15035[] = {1, 3, 1, 5, 19, 5, 127, 139, 1, 461, 943, 593, 7457, 3357, 1909, 64633, 91811, 92703, 0};
static int joe_kuo_d6_initial_number15036[] = {1, 1, 5, 7, 1, 21, 83, 29, 123, 83, 1085, 2727, 651, 15801, 20561, 34821, 17671, 162227, 0};
static int joe_kuo_d6_initial_number15037[] = {1, 3, 7, 1, 19, 59, 33, 195, 81, 69, 51, 1473, 3873, 4247, 3587, 4293, 30831, 245345, 0};
static int joe_kuo_d6_initial_number15038[] = {1, 3, 1, 3, 23, 27, 19, 115, 275, 293, 705, 131, 1001, 8881, 30165, 25149, 38679, 175167, 0};
static int joe_kuo_d6_initial_number15039[] = {1, 1, 3, 15, 11, 11, 79, 55, 323, 217, 859, 897, 6567, 12529, 3161, 13009, 100787, 3501, 0};
static int joe_kuo_d6_initial_number15040[] = {1, 3, 1, 15, 17, 63, 51, 71, 55, 207, 1095, 2527, 611, 9281, 7375, 14553, 16021, 88537, 0};
static int joe_kuo_d6_initial_number15041[] = {1, 1, 7, 9, 11, 23, 95, 25, 327, 873, 575, 3583, 6587, 137, 23737, 59341, 83281, 93541, 0};
static int joe_kuo_d6_initial_number15042[] = {1, 1, 5, 7, 15, 37, 89, 105, 471, 757, 103, 3747, 3565, 4957, 23537, 16193, 84843, 256757, 0};
static int joe_kuo_d6_initial_number15043[] = {1, 3, 5, 1, 15, 17, 119, 231, 387, 715, 797, 3807, 4985, 8335, 4885, 45541, 69597, 238599, 0};
static int joe_kuo_d6_initial_number15044[] = {1, 1, 3, 1, 7, 21, 87, 205, 39, 503, 433, 3643, 4719, 2051, 10049, 28997, 75981, 253647, 0};
static int joe_kuo_d6_initial_number15045[] = {1, 3, 1, 13, 9, 21, 103, 63, 27, 267, 185, 3507, 3009, 5183, 2261, 40249, 33733, 70493, 0};
static int joe_kuo_d6_initial_number15046[] = {1, 1, 3, 13, 7, 7, 79, 13, 141, 327, 1035, 1699, 6273, 5621, 13877, 57607, 50207, 184643, 0};
static int joe_kuo_d6_initial_number15047[] = {1, 1, 3, 1, 9, 19, 75, 99, 115, 469, 1025, 1999, 1985, 9975, 11069, 59113, 80877, 124153, 0};
static int joe_kuo_d6_initial_number15048[] = {1, 3, 5, 7, 19, 27, 47, 3, 313, 575, 107, 991, 2575, 11001, 12323, 21443, 126245, 219649, 0};
static int joe_kuo_d6_initial_number15049[] = {1, 1, 1, 5, 19, 33, 13, 1, 357, 225, 1355, 1827, 7127, 6387, 19299, 24935, 26847, 251433, 0};
static int joe_kuo_d6_initial_number15050[] = {1, 1, 1, 5, 3, 3, 113, 19, 425, 209, 159, 347, 1349, 6771, 13125, 8393, 21435, 186369, 0};
static int joe_kuo_d6_initial_number15051[] = {1, 1, 5, 11, 5, 39, 95, 3, 193, 741, 1755, 3361, 1927, 12909, 5413, 29111, 123429, 109191, 0};
static int joe_kuo_d6_initial_number15052[] = {1, 1, 1, 13, 31, 23, 43, 163, 421, 719, 457, 3149, 7741, 1465, 15719, 42831, 99051, 164675, 0};
static int joe_kuo_d6_initial_number15053[] = {1, 1, 1, 7, 15, 1, 29, 15, 9, 577, 269, 31, 4361, 5081, 32185, 54869, 115105, 151233, 0};
static int joe_kuo_d6_initial_number15054[] = {1, 1, 1, 11, 19, 3, 67, 3, 377, 487, 1287, 3463, 6523, 15237, 3171, 38673, 7359, 29739, 0};
static int joe_kuo_d6_initial_number15055[] = {1, 3, 5, 11, 9, 13, 47, 191, 97, 641, 807, 1085, 1537, 2855, 24615, 32383, 66425, 53713, 0};
static int joe_kuo_d6_initial_number15056[] = {1, 1, 5, 7, 19, 25, 93, 1, 21, 853, 813, 2535, 4291, 9051, 3385, 507, 73889, 85397, 0};
static int joe_kuo_d6_initial_number15057[] = {1, 1, 3, 13, 7, 15, 103, 199, 83, 585, 1859, 2089, 839, 8923, 14615, 3399, 7703, 229937, 0};
static int joe_kuo_d6_initial_number15058[] = {1, 1, 3, 3, 11, 23, 125, 135, 475, 613, 327, 339, 3081, 13221, 4889, 41233, 36547, 195357, 0};
static int joe_kuo_d6_initial_number15059[] = {1, 3, 7, 7, 19, 23, 85, 217, 501, 447, 1873, 2175, 6753, 2825, 5171, 47561, 13321, 59583, 0};
static int joe_kuo_d6_initial_number15060[] = {1, 1, 5, 13, 23, 59, 109, 195, 487, 785, 21, 1595, 5641, 10103, 8115, 60647, 78425, 237379, 0};
static int joe_kuo_d6_initial_number15061[] = {1, 1, 3, 15, 21, 17, 85, 51, 369, 475, 1021, 1129, 7233, 6593, 12467, 55399, 128157, 80539, 0};
static int joe_kuo_d6_initial_number15062[] = {1, 3, 3, 9, 31, 27, 69, 145, 489, 251, 1997, 1157, 2027, 16109, 4085, 24859, 63561, 79591, 0};
static int joe_kuo_d6_initial_number15063[] = {1, 3, 3, 5, 29, 49, 41, 185, 405, 471, 431, 3539, 6593, 1185, 24383, 17009, 111215, 79839, 0};
static int joe_kuo_d6_initial_number15064[] = {1, 1, 7, 3, 3, 15, 97, 157, 301, 227, 717, 3291, 2471, 11515, 30657, 30745, 72147, 98653, 0};
static int joe_kuo_d6_initial_number15065[] = {1, 3, 5, 1, 23, 21, 67, 223, 185, 385, 137, 2897, 2423, 6119, 28471, 52269, 95725, 9105, 0};
static int joe_kuo_d6_initial_number15066[] = {1, 3, 3, 11, 19, 1, 111, 131, 293, 495, 1043, 631, 1375, 15347, 22029, 29163, 120025, 81631, 0};
static int joe_kuo_d6_initial_number15067[] = {1, 1, 7, 5, 17, 55, 47, 183, 367, 81, 555, 2857, 4787, 5605, 32053, 11815, 81771, 234993, 0};
static int joe_kuo_d6_initial_number15068[] = {1, 3, 7, 15, 15, 49, 45, 221, 49, 299, 887, 3991, 2097, 10819, 23297, 1823, 11319, 205273, 0};
static int joe_kuo_d6_initial_number15069[] = {1, 1, 1, 1, 1, 15, 91, 253, 213, 849, 501, 1073, 5503, 1379, 28887, 51811, 109763, 226149, 0};
static int joe_kuo_d6_initial_number15070[] = {1, 1, 1, 7, 27, 39, 17, 29, 359, 655, 1695, 1781, 1203, 1125, 8983, 3477, 13925, 218399, 0};
static int joe_kuo_d6_initial_number15071[] = {1, 3, 7, 13, 1, 25, 33, 185, 87, 19, 151, 371, 1221, 4859, 20103, 11435, 104263, 218515, 0};
static int joe_kuo_d6_initial_number15072[] = {1, 1, 3, 5, 17, 43, 29, 149, 207, 39, 1539, 2933, 6825, 12391, 18163, 24543, 35305, 196295, 0};
static int joe_kuo_d6_initial_number15073[] = {1, 3, 7, 9, 21, 61, 69, 231, 401, 95, 1757, 839, 3395, 7573, 6583, 34621, 119303, 20767, 0};
static int joe_kuo_d6_initial_number15074[] = {1, 1, 7, 1, 25, 53, 63, 105, 241, 591, 23, 3219, 2387, 13945, 3047, 30939, 63243, 60941, 0};
static int joe_kuo_d6_initial_number15075[] = {1, 1, 5, 7, 25, 47, 7, 227, 57, 279, 81, 4017, 3117, 6229, 20029, 30031, 25049, 102291, 0};
static int joe_kuo_d6_initial_number15076[] = {1, 3, 3, 1, 21, 15, 69, 57, 311, 9, 853, 3377, 2949, 4781, 15419, 54741, 11603, 136821, 0};
static int joe_kuo_d6_initial_number15077[] = {1, 3, 3, 13, 13, 5, 103, 253, 27, 449, 821, 3241, 41, 6643, 15217, 61691, 58463, 46117, 0};
static int joe_kuo_d6_initial_number15078[] = {1, 1, 7, 7, 27, 51, 1, 239, 71, 955, 145, 1059, 5645, 7025, 4839, 11459, 3051, 235989, 0};
static int joe_kuo_d6_initial_number15079[] = {1, 1, 5, 15, 15, 13, 33, 21, 209, 681, 1163, 3109, 1441, 6895, 20829, 48769, 35373, 195171, 0};
static int joe_kuo_d6_initial_number15080[] = {1, 1, 7, 3, 11, 7, 25, 27, 463, 77, 1293, 1977, 4931, 8089, 11079, 14793, 123049, 32259, 0};
static int joe_kuo_d6_initial_number15081[] = {1, 3, 1, 15, 11, 49, 7, 103, 79, 773, 235, 1653, 6477, 8835, 26627, 61101, 40633, 98155, 0};
static int joe_kuo_d6_initial_number15082[] = {1, 3, 5, 7, 3, 53, 77, 197, 49, 57, 1533, 3485, 6603, 1131, 9073, 37023, 85293, 170883, 0};
static int joe_kuo_d6_initial_number15083[] = {1, 3, 7, 15, 23, 5, 125, 75, 413, 521, 1897, 1099, 35, 2013, 687, 51511, 21359, 19995, 0};
static int joe_kuo_d6_initial_number15084[] = {1, 3, 1, 11, 19, 13, 91, 181, 39, 613, 1917, 3149, 669, 9927, 20967, 38313, 13537, 181873, 0};
static int joe_kuo_d6_initial_number15085[] = {1, 3, 5, 7, 5, 23, 25, 145, 189, 679, 483, 2689, 2855, 9631, 8863, 34841, 83311, 211507, 0};
static int joe_kuo_d6_initial_number15086[] = {1, 3, 5, 15, 15, 15, 87, 53, 309, 807, 1405, 259, 3181, 12187, 31529, 8861, 70557, 247787, 0};
static int joe_kuo_d6_initial_number15087[] = {1, 1, 7, 13, 7, 15, 1, 205, 91, 325, 1371, 531, 4917, 10291, 30827, 32491, 34497, 250301, 0};
static int joe_kuo_d6_initial_number15088[] = {1, 3, 1, 11, 29, 17, 97, 37, 259, 1021, 1705, 4001, 4385, 7047, 14593, 63443, 3283, 18195, 0};
static int joe_kuo_d6_initial_number15089[] = {1, 1, 7, 9, 9, 55, 11, 113, 351, 513, 197, 873, 1595, 11331, 27711, 419, 73097, 144357, 0};
static int joe_kuo_d6_initial_number15090[] = {1, 3, 7, 15, 29, 31, 37, 15, 233, 573, 1457, 293, 5437, 15909, 3087, 24535, 6507, 173555, 0};
static int joe_kuo_d6_initial_number15091[] = {1, 1, 1, 7, 7, 47, 81, 241, 257, 389, 233, 3275, 919, 14911, 14473, 58457, 78195, 121421, 0};
static int joe_kuo_d6_initial_number15092[] = {1, 3, 7, 13, 1, 63, 9, 233, 231, 771, 1851, 3829, 7089, 4573, 13297, 58963, 2065, 8365, 0};
static int joe_kuo_d6_initial_number15093[] = {1, 1, 5, 1, 31, 45, 45, 209, 77, 977, 159, 1521, 969, 10115, 32387, 52821, 124209, 51841, 0};
static int joe_kuo_d6_initial_number15094[] = {1, 3, 5, 5, 13, 27, 53, 171, 91, 743, 217, 3805, 7721, 15127, 20679, 57459, 53649, 16381, 0};
static int joe_kuo_d6_initial_number15095[] = {1, 3, 1, 15, 23, 43, 105, 169, 143, 759, 463, 1237, 3311, 2919, 16675, 53049, 12403, 153651, 0};
static int joe_kuo_d6_initial_number15096[] = {1, 3, 3, 11, 5, 27, 1, 135, 17, 683, 679, 2591, 2929, 12417, 18379, 61903, 81991, 25231, 0};
static int joe_kuo_d6_initial_number15097[] = {1, 1, 1, 5, 13, 59, 73, 119, 369, 445, 553, 243, 7523, 1105, 20349, 8417, 87535, 148857, 0};
static int joe_kuo_d6_initial_number15098[] = {1, 3, 7, 15, 29, 3, 49, 49, 7, 753, 1597, 1427, 7485, 9119, 17427, 24961, 114897, 62841, 0};
static int joe_kuo_d6_initial_number15099[] = {1, 1, 7, 7, 17, 35, 49, 225, 267, 801, 1359, 2131, 6093, 3859, 11305, 6287, 106459, 31093, 0};
static int joe_kuo_d6_initial_number15100[] = {1, 1, 5, 3, 1, 45, 19, 89, 145, 23, 1071, 3053, 3463, 6781, 8635, 1961, 54403, 183401, 0};
static int joe_kuo_d6_initial_number15101[] = {1, 3, 1, 13, 17, 35, 105, 155, 145, 597, 1169, 3731, 725, 2185, 23365, 31849, 113717, 185413, 0};
static int joe_kuo_d6_initial_number15102[] = {1, 3, 3, 5, 3, 5, 13, 119, 39, 383, 1595, 63, 7003, 6465, 19847, 37213, 42921, 254479, 0};
static int joe_kuo_d6_initial_number15103[] = {1, 3, 3, 1, 3, 33, 43, 255, 227, 151, 1911, 2657, 6529, 3855, 24411, 8485, 30385, 193265, 0};
static int joe_kuo_d6_initial_number15104[] = {1, 1, 7, 7, 21, 53, 101, 37, 193, 107, 1095, 369, 6423, 3491, 1219, 53385, 31041, 122587, 0};
static int joe_kuo_d6_initial_number15105[] = {1, 1, 7, 3, 13, 39, 101, 109, 113, 201, 619, 2489, 4545, 5017, 25519, 44281, 128605, 128595, 0};
static int joe_kuo_d6_initial_number15106[] = {1, 1, 3, 13, 25, 7, 99, 141, 465, 625, 667, 1633, 6719, 16195, 365, 34355, 65025, 128025, 0};
static int joe_kuo_d6_initial_number15107[] = {1, 1, 1, 7, 15, 51, 43, 159, 223, 493, 411, 65, 5753, 10219, 21885, 33267, 116643, 76777, 0};
static int joe_kuo_d6_initial_number15108[] = {1, 3, 5, 13, 25, 39, 97, 31, 245, 367, 685, 103, 4093, 10449, 3849, 52659, 63355, 262059, 0};
static int joe_kuo_d6_initial_number15109[] = {1, 3, 3, 1, 9, 49, 25, 157, 107, 821, 265, 2939, 6365, 7539, 17935, 50147, 88907, 214317, 0};
static int joe_kuo_d6_initial_number15110[] = {1, 1, 1, 13, 17, 5, 55, 217, 137, 915, 121, 3187, 3111, 7145, 30477, 20023, 71969, 179417, 0};
static int joe_kuo_d6_initial_number15111[] = {1, 1, 1, 5, 7, 15, 47, 71, 197, 725, 523, 2207, 5729, 741, 8595, 39125, 25431, 101093, 0};
static int joe_kuo_d6_initial_number15112[] = {1, 3, 1, 7, 19, 37, 117, 235, 353, 459, 207, 953, 4955, 14979, 22897, 53911, 7783, 203667, 0};
static int joe_kuo_d6_initial_number15113[] = {1, 1, 5, 13, 9, 17, 21, 95, 37, 751, 1463, 2491, 791, 1569, 32055, 61415, 113885, 259285, 0};
static int joe_kuo_d6_initial_number15114[] = {1, 1, 3, 11, 1, 23, 5, 73, 61, 719, 215, 469, 3267, 12003, 16535, 46913, 58321, 2407, 0};
static int joe_kuo_d6_initial_number15115[] = {1, 1, 5, 11, 5, 9, 81, 1, 275, 877, 791, 1591, 2109, 9983, 29085, 15069, 44757, 17887, 0};
static int joe_kuo_d6_initial_number15116[] = {1, 3, 7, 11, 23, 47, 121, 53, 55, 677, 1239, 2591, 579, 11321, 14231, 53701, 71947, 56793, 0};
static int joe_kuo_d6_initial_number15117[] = {1, 1, 5, 1, 7, 31, 39, 205, 231, 843, 159, 2301, 7765, 3317, 8935, 60647, 110545, 142543, 0};
static int joe_kuo_d6_initial_number15118[] = {1, 3, 3, 11, 25, 39, 9, 131, 145, 373, 41, 1687, 417, 9427, 8657, 18315, 18505, 144055, 0};
static int joe_kuo_d6_initial_number15119[] = {1, 3, 7, 3, 1, 51, 61, 223, 409, 607, 1281, 1767, 4719, 10741, 21537, 17307, 5473, 76127, 0};
static int joe_kuo_d6_initial_number15120[] = {1, 1, 1, 1, 1, 43, 35, 157, 183, 835, 1141, 3235, 1383, 11381, 4503, 20435, 73125, 196955, 0};
static int joe_kuo_d6_initial_number15121[] = {1, 1, 5, 7, 13, 47, 9, 191, 349, 587, 1887, 3667, 619, 9443, 28781, 7759, 6023, 81595, 0};
static int joe_kuo_d6_initial_number15122[] = {1, 3, 5, 9, 31, 27, 77, 47, 375, 229, 989, 1241, 4937, 5881, 18797, 21743, 49947, 246165, 0};
static int joe_kuo_d6_initial_number15123[] = {1, 1, 5, 1, 29, 23, 43, 237, 293, 391, 243, 3471, 5205, 9951, 29329, 19873, 114325, 19239, 0};
static int joe_kuo_d6_initial_number15124[] = {1, 3, 3, 5, 19, 49, 23, 149, 419, 23, 21, 515, 3321, 3157, 28559, 8521, 11119, 192881, 0};
static int joe_kuo_d6_initial_number15125[] = {1, 3, 1, 9, 29, 17, 15, 13, 171, 57, 1849, 3815, 7361, 7723, 23657, 60883, 54953, 159861, 0};
static int joe_kuo_d6_initial_number15126[] = {1, 1, 3, 5, 13, 57, 35, 227, 143, 725, 2023, 2583, 2277, 4721, 4395, 61479, 112487, 211861, 0};
static int joe_kuo_d6_initial_number15127[] = {1, 1, 5, 7, 7, 25, 83, 95, 281, 931, 415, 1661, 1543, 5313, 13317, 21203, 23965, 60891, 0};
static int joe_kuo_d6_initial_number15128[] = {1, 3, 3, 1, 25, 51, 65, 147, 7, 521, 235, 2165, 6219, 14247, 30621, 43245, 8133, 49481, 0};
static int joe_kuo_d6_initial_number15129[] = {1, 1, 5, 11, 13, 27, 39, 51, 213, 811, 151, 1157, 7821, 6481, 32097, 12319, 52005, 33291, 0};
static int joe_kuo_d6_initial_number15130[] = {1, 1, 1, 13, 19, 15, 39, 205, 481, 253, 1643, 2969, 3181, 13995, 29877, 1307, 101721, 119111, 0};
static int joe_kuo_d6_initial_number15131[] = {1, 1, 1, 11, 5, 63, 57, 53, 187, 315, 1521, 847, 5955, 3179, 21459, 25937, 83215, 181599, 0};
static int joe_kuo_d6_initial_number15132[] = {1, 1, 7, 13, 17, 35, 113, 73, 105, 497, 1183, 3397, 4443, 14697, 29201, 40737, 40943, 3529, 0};
static int joe_kuo_d6_initial_number15133[] = {1, 3, 5, 5, 3, 53, 101, 125, 173, 137, 333, 381, 1143, 1165, 789, 50013, 23595, 50235, 0};
static int joe_kuo_d6_initial_number15134[] = {1, 1, 3, 1, 23, 3, 21, 143, 475, 337, 1693, 2341, 6509, 4167, 21031, 13887, 83191, 85187, 0};
static int joe_kuo_d6_initial_number15135[] = {1, 1, 3, 1, 29, 59, 39, 217, 77, 943, 1531, 383, 6535, 2593, 8601, 61865, 26629, 57313, 0};
static int joe_kuo_d6_initial_number15136[] = {1, 3, 5, 15, 17, 15, 19, 31, 273, 507, 1193, 2501, 4677, 13355, 5287, 1155, 102959, 185219, 0};
static int joe_kuo_d6_initial_number15137[] = {1, 1, 1, 9, 3, 3, 5, 111, 159, 913, 331, 303, 3673, 12227, 5245, 63749, 107123, 26315, 0};
static int joe_kuo_d6_initial_number15138[] = {1, 3, 5, 11, 13, 13, 115, 237, 481, 793, 1783, 1107, 4811, 3965, 29571, 63237, 15013, 176925, 0};
static int joe_kuo_d6_initial_number15139[] = {1, 1, 7, 1, 13, 57, 85, 15, 19, 889, 1637, 1721, 6299, 6659, 5541, 24365, 38363, 67749, 0};
static int joe_kuo_d6_initial_number15140[] = {1, 1, 3, 1, 9, 39, 15, 183, 133, 821, 1361, 2617, 7197, 8251, 12599, 60549, 42947, 72519, 0};
static int joe_kuo_d6_initial_number15141[] = {1, 3, 1, 5, 19, 17, 69, 189, 309, 33, 2003, 569, 6189, 7845, 22351, 14623, 35287, 160511, 0};
static int joe_kuo_d6_initial_number15142[] = {1, 1, 7, 13, 25, 3, 1, 203, 163, 661, 513, 3513, 741, 16259, 29817, 6059, 23823, 51869, 0};
static int joe_kuo_d6_initial_number15143[] = {1, 3, 3, 1, 9, 43, 59, 77, 465, 223, 2007, 2187, 1499, 9373, 10535, 22207, 111689, 108485, 0};
static int joe_kuo_d6_initial_number15144[] = {1, 1, 5, 15, 1, 21, 87, 163, 177, 751, 115, 3981, 4257, 5345, 31211, 44075, 16983, 69783, 0};
static int joe_kuo_d6_initial_number15145[] = {1, 1, 1, 3, 29, 31, 7, 41, 181, 979, 1661, 1403, 2577, 983, 545, 6205, 20183, 44735, 0};
static int joe_kuo_d6_initial_number15146[] = {1, 3, 3, 15, 5, 1, 85, 243, 59, 161, 1053, 803, 1813, 13583, 2559, 62761, 105337, 83209, 0};
static int joe_kuo_d6_initial_number15147[] = {1, 3, 3, 3, 5, 21, 101, 61, 379, 369, 1865, 3289, 2643, 951, 26493, 17915, 8185, 42387, 0};
static int joe_kuo_d6_initial_number15148[] = {1, 3, 5, 15, 15, 13, 119, 103, 141, 735, 1317, 3345, 2885, 4145, 30719, 965, 10819, 90295, 0};
static int joe_kuo_d6_initial_number15149[] = {1, 3, 7, 13, 15, 11, 19, 163, 495, 369, 1285, 609, 1559, 9965, 31123, 55101, 76743, 104435, 0};
static int joe_kuo_d6_initial_number15150[] = {1, 1, 5, 1, 25, 5, 5, 139, 441, 447, 353, 1369, 959, 14593, 30991, 20651, 126945, 2219, 0};
static int joe_kuo_d6_initial_number15151[] = {1, 3, 5, 9, 21, 9, 113, 83, 115, 15, 161, 1559, 3095, 1447, 10253, 51481, 114541, 248375, 0};
static int joe_kuo_d6_initial_number15152[] = {1, 3, 3, 1, 31, 61, 111, 69, 495, 195, 1153, 2605, 5061, 15509, 8253, 41909, 126033, 51173, 0};
static int joe_kuo_d6_initial_number15153[] = {1, 1, 7, 15, 15, 41, 121, 75, 471, 539, 341, 441, 5357, 11509, 32525, 65477, 101251, 164835, 0};
static int joe_kuo_d6_initial_number15154[] = {1, 1, 5, 7, 3, 63, 13, 123, 285, 499, 1023, 3533, 483, 13747, 26515, 52381, 9073, 256319, 0};
static int joe_kuo_d6_initial_number15155[] = {1, 3, 1, 13, 29, 41, 75, 43, 229, 557, 1775, 1933, 5567, 11439, 22045, 10571, 96761, 98559, 0};
static int joe_kuo_d6_initial_number15156[] = {1, 1, 3, 11, 19, 39, 3, 93, 435, 433, 2005, 1561, 385, 15865, 19763, 44105, 48107, 163063, 0};
static int joe_kuo_d6_initial_number15157[] = {1, 1, 7, 5, 29, 37, 53, 19, 335, 325, 133, 2055, 3029, 14573, 30395, 38599, 97637, 203443, 0};
static int joe_kuo_d6_initial_number15158[] = {1, 1, 7, 15, 29, 51, 7, 145, 21, 955, 1013, 579, 4971, 4849, 11691, 23725, 71079, 102641, 0};
static int joe_kuo_d6_initial_number15159[] = {1, 1, 7, 3, 9, 49, 79, 187, 237, 823, 1951, 2947, 3633, 9119, 14393, 52969, 44703, 222389, 0};
static int joe_kuo_d6_initial_number15160[] = {1, 3, 5, 11, 13, 9, 13, 245, 499, 661, 1899, 1313, 6907, 12259, 4577, 38547, 79687, 17555, 0};
static int joe_kuo_d6_initial_number15161[] = {1, 3, 3, 1, 5, 59, 123, 197, 293, 247, 687, 695, 7493, 3115, 28535, 44335, 31905, 81607, 0};
static int joe_kuo_d6_initial_number15162[] = {1, 3, 1, 3, 19, 5, 45, 101, 457, 395, 565, 3155, 8081, 4863, 1199, 32133, 73087, 27025, 0};
static int joe_kuo_d6_initial_number15163[] = {1, 3, 7, 1, 31, 35, 111, 95, 379, 663, 731, 1813, 4551, 13105, 18275, 19729, 121971, 139959, 0};
static int joe_kuo_d6_initial_number15164[] = {1, 1, 7, 3, 23, 47, 11, 117, 323, 943, 183, 2169, 4625, 12931, 1305, 23345, 119521, 67911, 0};
static int joe_kuo_d6_initial_number15165[] = {1, 1, 1, 13, 19, 45, 37, 77, 301, 741, 747, 241, 5865, 11141, 7961, 10609, 97833, 256555, 0};
static int joe_kuo_d6_initial_number15166[] = {1, 1, 1, 11, 27, 21, 119, 103, 277, 761, 201, 2063, 1043, 13303, 6535, 15553, 57695, 124187, 0};
static int joe_kuo_d6_initial_number15167[] = {1, 3, 7, 3, 1, 11, 79, 143, 345, 237, 1421, 193, 1889, 2515, 11729, 559, 35227, 9393, 0};
static int joe_kuo_d6_initial_number15168[] = {1, 3, 1, 1, 27, 27, 117, 159, 183, 871, 47, 989, 999, 303, 30833, 8229, 116301, 199439, 0};
static int joe_kuo_d6_initial_number15169[] = {1, 1, 1, 1, 31, 27, 41, 83, 435, 409, 999, 2275, 4489, 1985, 21455, 23275, 125039, 192979, 0};
static int joe_kuo_d6_initial_number15170[] = {1, 3, 7, 3, 19, 49, 27, 185, 9, 385, 191, 735, 3439, 16307, 21181, 58749, 128393, 140383, 0};
static int joe_kuo_d6_initial_number15171[] = {1, 3, 7, 3, 15, 5, 65, 89, 11, 915, 673, 947, 3847, 6833, 10095, 34261, 101645, 42131, 0};
static int joe_kuo_d6_initial_number15172[] = {1, 3, 5, 11, 11, 25, 79, 225, 495, 951, 1033, 5, 699, 9621, 1791, 48221, 59275, 49875, 0};
static int joe_kuo_d6_initial_number15173[] = {1, 3, 7, 13, 29, 59, 105, 101, 233, 901, 863, 413, 2087, 16209, 445, 27463, 61465, 121795, 0};
static int joe_kuo_d6_initial_number15174[] = {1, 1, 1, 11, 5, 19, 11, 51, 503, 313, 195, 3, 7249, 4919, 11931, 15569, 118297, 115989, 0};
static int joe_kuo_d6_initial_number15175[] = {1, 3, 3, 13, 13, 61, 63, 57, 429, 487, 2033, 847, 7539, 1469, 3197, 1307, 124557, 211999, 0};
static int joe_kuo_d6_initial_number15176[] = {1, 3, 7, 13, 25, 27, 39, 103, 165, 39, 1587, 3103, 1745, 12593, 10779, 37105, 29059, 256739, 0};
static int joe_kuo_d6_initial_number15177[] = {1, 3, 3, 9, 25, 51, 105, 109, 99, 267, 623, 1351, 3837, 793, 28609, 52199, 15621, 77873, 0};
static int joe_kuo_d6_initial_number15178[] = {1, 1, 3, 7, 29, 61, 45, 237, 431, 791, 91, 1259, 8071, 11103, 27257, 10153, 18639, 248949, 0};
static int joe_kuo_d6_initial_number15179[] = {1, 1, 1, 9, 15, 47, 113, 189, 291, 837, 1317, 2263, 7183, 6669, 17241, 35275, 9087, 241577, 0};
static int joe_kuo_d6_initial_number15180[] = {1, 1, 3, 1, 15, 59, 85, 21, 69, 569, 1473, 2735, 713, 3817, 14677, 26897, 75291, 251255, 0};
static int joe_kuo_d6_initial_number15181[] = {1, 1, 1, 7, 17, 21, 105, 77, 367, 905, 513, 1807, 5571, 14627, 10349, 47821, 34395, 51143, 0};
static int joe_kuo_d6_initial_number15182[] = {1, 3, 7, 13, 27, 19, 123, 145, 371, 857, 1699, 2231, 373, 781, 28713, 21441, 64059, 10689, 0};
static int joe_kuo_d6_initial_number15183[] = {1, 1, 1, 7, 19, 57, 81, 223, 87, 315, 1253, 421, 1371, 1547, 1411, 6809, 23889, 213385, 0};
static int joe_kuo_d6_initial_number15184[] = {1, 3, 1, 5, 23, 57, 89, 15, 227, 965, 1247, 3861, 7723, 15621, 7151, 53961, 47167, 73679, 0};
static int joe_kuo_d6_initial_number15185[] = {1, 3, 7, 15, 31, 21, 9, 79, 87, 561, 1001, 3395, 2095, 15381, 30725, 48111, 68031, 121687, 0};
static int joe_kuo_d6_initial_number15186[] = {1, 3, 1, 9, 15, 29, 83, 87, 377, 331, 2035, 93, 2319, 3637, 4809, 40091, 93141, 39881, 0};
static int joe_kuo_d6_initial_number15187[] = {1, 3, 3, 11, 21, 39, 27, 159, 161, 439, 1417, 595, 4873, 15703, 32743, 56603, 35881, 160727, 0};
static int joe_kuo_d6_initial_number15188[] = {1, 1, 3, 5, 21, 37, 55, 159, 497, 425, 469, 1185, 5015, 7045, 7179, 65325, 97167, 75723, 0};
static int joe_kuo_d6_initial_number15189[] = {1, 3, 1, 7, 31, 21, 125, 223, 479, 765, 1115, 33, 2765, 12781, 22923, 36051, 103749, 33703, 0};
static int joe_kuo_d6_initial_number15190[] = {1, 1, 7, 1, 9, 3, 29, 125, 337, 973, 253, 3179, 3269, 8801, 19369, 20693, 17331, 190295, 0};
static int joe_kuo_d6_initial_number15191[] = {1, 1, 3, 3, 13, 5, 115, 31, 481, 45, 855, 81, 3663, 10443, 13853, 29847, 99471, 249943, 0};
static int joe_kuo_d6_initial_number15192[] = {1, 1, 3, 7, 3, 1, 47, 31, 169, 625, 201, 2257, 4617, 1633, 26681, 53793, 78257, 8955, 0};
static int joe_kuo_d6_initial_number15193[] = {1, 1, 5, 1, 23, 3, 95, 89, 429, 559, 119, 2619, 1235, 7609, 21905, 45495, 19461, 189091, 0};
static int joe_kuo_d6_initial_number15194[] = {1, 3, 5, 5, 11, 33, 123, 45, 89, 899, 1607, 3717, 6745, 15199, 22955, 15891, 50411, 148201, 0};
static int joe_kuo_d6_initial_number15195[] = {1, 3, 5, 9, 19, 23, 87, 21, 39, 117, 603, 823, 3015, 14853, 4341, 49029, 97183, 218713, 0};
static int joe_kuo_d6_initial_number15196[] = {1, 1, 3, 7, 11, 55, 31, 255, 399, 861, 745, 1013, 4583, 15871, 32453, 25357, 90645, 100835, 0};
static int joe_kuo_d6_initial_number15197[] = {1, 1, 1, 11, 13, 27, 57, 233, 45, 339, 305, 3689, 5273, 11801, 29109, 44139, 83171, 250559, 0};
static int joe_kuo_d6_initial_number15198[] = {1, 3, 7, 13, 19, 1, 29, 113, 207, 313, 1465, 3563, 2535, 3307, 14921, 1923, 31429, 59815, 0};
static int joe_kuo_d6_initial_number15199[] = {1, 3, 1, 5, 29, 25, 59, 95, 177, 795, 353, 3973, 8029, 1687, 5045, 16157, 30361, 218479, 0};
static int joe_kuo_d6_initial_number15200[] = {1, 3, 5, 3, 5, 27, 109, 239, 121, 347, 93, 1645, 3293, 13181, 23793, 42935, 98659, 85385, 0};
static int joe_kuo_d6_initial_number15201[] = {1, 1, 7, 9, 9, 37, 127, 211, 77, 557, 177, 2465, 7895, 5523, 26665, 23463, 71715, 126673, 0};
static int joe_kuo_d6_initial_number15202[] = {1, 3, 7, 1, 27, 55, 125, 85, 47, 739, 1513, 3763, 5335, 3135, 11913, 22405, 90785, 88845, 0};
static int joe_kuo_d6_initial_number15203[] = {1, 3, 3, 9, 29, 21, 123, 211, 491, 83, 697, 929, 3507, 7139, 30569, 16365, 122657, 77523, 0};
static int joe_kuo_d6_initial_number15204[] = {1, 3, 5, 5, 27, 21, 41, 129, 67, 503, 877, 1893, 6055, 12709, 24613, 43831, 124035, 62631, 0};
static int joe_kuo_d6_initial_number15205[] = {1, 3, 3, 1, 21, 15, 59, 185, 405, 487, 627, 3737, 345, 14751, 2947, 15815, 55047, 207137, 0};
static int joe_kuo_d6_initial_number15206[] = {1, 1, 1, 9, 15, 29, 19, 155, 101, 405, 597, 329, 2977, 4333, 5465, 43863, 6009, 229481, 0};
static int joe_kuo_d6_initial_number15207[] = {1, 1, 1, 11, 7, 27, 93, 207, 43, 599, 1899, 3979, 4219, 10199, 2901, 34261, 19435, 58317, 0};
static int joe_kuo_d6_initial_number15208[] = {1, 1, 7, 15, 9, 47, 33, 209, 235, 655, 253, 3507, 3355, 1685, 7045, 58907, 41791, 175835, 0};
static int joe_kuo_d6_initial_number15209[] = {1, 3, 3, 11, 11, 43, 21, 255, 45, 831, 1051, 1271, 7945, 9793, 11125, 17709, 118267, 169981, 0};
static int joe_kuo_d6_initial_number15210[] = {1, 3, 7, 13, 27, 37, 45, 221, 243, 37, 1493, 2773, 6655, 7451, 22609, 56559, 12063, 221143, 0};
static int joe_kuo_d6_initial_number15211[] = {1, 3, 1, 1, 9, 15, 97, 61, 241, 825, 735, 3953, 5331, 16373, 19403, 28933, 31881, 111545, 0};
static int joe_kuo_d6_initial_number15212[] = {1, 1, 1, 15, 29, 1, 127, 111, 329, 741, 1589, 1653, 5949, 8703, 27617, 65285, 122167, 11895, 0};
static int joe_kuo_d6_initial_number15213[] = {1, 1, 3, 3, 17, 31, 91, 197, 421, 865, 1901, 897, 6917, 15943, 12823, 15325, 17011, 110783, 0};
static int joe_kuo_d6_initial_number15214[] = {1, 1, 3, 15, 21, 57, 29, 179, 503, 929, 1513, 205, 6083, 4015, 32517, 26921, 54229, 147789, 0};
static int joe_kuo_d6_initial_number15215[] = {1, 1, 7, 15, 27, 21, 95, 59, 193, 97, 1235, 819, 4435, 371, 627, 24673, 1775, 261041, 0};
static int joe_kuo_d6_initial_number15216[] = {1, 1, 7, 15, 3, 37, 99, 85, 505, 1011, 19, 1241, 5299, 15661, 27323, 44625, 12683, 225687, 0};
static int joe_kuo_d6_initial_number15217[] = {1, 1, 7, 3, 25, 37, 111, 121, 217, 659, 365, 2627, 5499, 12911, 951, 54317, 51927, 235327, 0};
static int joe_kuo_d6_initial_number15218[] = {1, 1, 3, 9, 29, 31, 99, 195, 427, 735, 1817, 3675, 4269, 1579, 12593, 39285, 74909, 230613, 0};
static int joe_kuo_d6_initial_number15219[] = {1, 3, 1, 13, 7, 21, 37, 101, 111, 931, 1581, 465, 4753, 15607, 14515, 29769, 107711, 32703, 0};
static int joe_kuo_d6_initial_number15220[] = {1, 1, 7, 15, 25, 57, 117, 119, 309, 345, 491, 3647, 2933, 5409, 15431, 43731, 25537, 17269, 0};
static int joe_kuo_d6_initial_number15221[] = {1, 1, 5, 3, 15, 9, 83, 221, 501, 675, 1441, 129, 213, 5587, 22361, 16739, 118845, 192835, 0};
static int joe_kuo_d6_initial_number15222[] = {1, 3, 7, 13, 1, 31, 75, 23, 13, 447, 687, 2711, 7577, 8275, 5051, 61835, 22159, 56477, 0};
static int joe_kuo_d6_initial_number15223[] = {1, 1, 3, 1, 23, 19, 111, 45, 395, 841, 1665, 21, 7435, 12457, 11065, 20007, 48785, 15115, 0};
static int joe_kuo_d6_initial_number15224[] = {1, 3, 7, 7, 21, 3, 117, 35, 117, 433, 561, 3045, 2169, 3255, 18015, 41093, 99699, 3479, 0};
static int joe_kuo_d6_initial_number15225[] = {1, 1, 3, 7, 9, 59, 65, 143, 315, 63, 29, 3817, 1259, 7119, 20847, 44407, 80015, 37851, 0};
static int joe_kuo_d6_initial_number15226[] = {1, 3, 7, 13, 13, 33, 85, 75, 39, 163, 1759, 1197, 5971, 8815, 8745, 45625, 121873, 246197, 0};
static int joe_kuo_d6_initial_number15227[] = {1, 1, 1, 13, 31, 41, 61, 7, 145, 113, 943, 3757, 2141, 3523, 22351, 14143, 107683, 105579, 0};
static int joe_kuo_d6_initial_number15228[] = {1, 1, 5, 5, 23, 27, 75, 77, 25, 901, 1295, 3091, 981, 10109, 12649, 15123, 102433, 145557, 0};
static int joe_kuo_d6_initial_number15229[] = {1, 1, 7, 5, 9, 11, 19, 229, 301, 835, 1577, 3365, 425, 2271, 15647, 11685, 57315, 131043, 0};
static int joe_kuo_d6_initial_number15230[] = {1, 3, 1, 13, 31, 3, 113, 7, 473, 395, 1979, 61, 4205, 2031, 28007, 34789, 54463, 94741, 0};
static int joe_kuo_d6_initial_number15231[] = {1, 1, 3, 5, 7, 13, 35, 151, 461, 621, 185, 2645, 907, 9151, 25953, 26363, 105531, 235555, 0};
static int joe_kuo_d6_initial_number15232[] = {1, 3, 3, 13, 21, 5, 43, 183, 149, 607, 509, 777, 4089, 16365, 32201, 60431, 58773, 92719, 0};
static int joe_kuo_d6_initial_number15233[] = {1, 3, 3, 11, 25, 53, 103, 203, 269, 1017, 77, 3537, 4839, 15991, 29223, 57397, 122735, 67299, 0};
static int joe_kuo_d6_initial_number15234[] = {1, 3, 3, 1, 29, 45, 85, 171, 307, 455, 1399, 2367, 5991, 5751, 27957, 36649, 9251, 38581, 0};
static int joe_kuo_d6_initial_number15235[] = {1, 1, 5, 13, 29, 15, 127, 1, 175, 921, 671, 2469, 3137, 3679, 32521, 5321, 92505, 45901, 0};
static int joe_kuo_d6_initial_number15236[] = {1, 3, 3, 11, 23, 23, 113, 255, 443, 609, 1085, 133, 5369, 885, 17043, 20961, 36137, 260457, 0};
static int joe_kuo_d6_initial_number15237[] = {1, 3, 3, 9, 13, 55, 117, 19, 111, 323, 275, 495, 6679, 2217, 12015, 3053, 32745, 189413, 0};
static int joe_kuo_d6_initial_number15238[] = {1, 3, 5, 13, 31, 43, 37, 225, 67, 755, 1427, 3967, 6497, 9987, 28145, 50583, 59457, 213217, 0};
static int joe_kuo_d6_initial_number15239[] = {1, 3, 1, 15, 1, 5, 121, 249, 293, 695, 1697, 313, 61, 4037, 11757, 53739, 5693, 106225, 0};
static int joe_kuo_d6_initial_number15240[] = {1, 1, 7, 1, 23, 9, 111, 211, 303, 147, 1291, 3807, 1969, 4115, 7473, 50077, 60745, 41605, 0};
static int joe_kuo_d6_initial_number15241[] = {1, 3, 3, 15, 21, 51, 63, 171, 197, 403, 1327, 1851, 6991, 9069, 19221, 45765, 55489, 34853, 0};
static int joe_kuo_d6_initial_number15242[] = {1, 1, 5, 3, 5, 53, 87, 241, 255, 309, 1319, 3727, 3189, 10887, 13401, 32371, 24479, 170571, 0};
static int joe_kuo_d6_initial_number15243[] = {1, 1, 7, 11, 5, 5, 59, 177, 317, 835, 527, 165, 2137, 9597, 30181, 1779, 75407, 185827, 0};
static int joe_kuo_d6_initial_number15244[] = {1, 3, 3, 7, 25, 15, 15, 183, 235, 955, 27, 2223, 5587, 11301, 17653, 56697, 70787, 198347, 0};
static int joe_kuo_d6_initial_number15245[] = {1, 3, 5, 5, 11, 63, 123, 41, 169, 975, 1709, 2965, 7491, 4183, 15217, 41343, 36139, 9649, 0};
static int joe_kuo_d6_initial_number15246[] = {1, 1, 3, 7, 5, 37, 87, 247, 379, 603, 781, 463, 8063, 13681, 32005, 43485, 107401, 42303, 0};
static int joe_kuo_d6_initial_number15247[] = {1, 3, 5, 9, 19, 53, 61, 219, 217, 361, 769, 1687, 5643, 3145, 12885, 40303, 86377, 255051, 0};
static int joe_kuo_d6_initial_number15248[] = {1, 1, 7, 11, 15, 49, 127, 99, 127, 515, 647, 1725, 1605, 2357, 2069, 31803, 14179, 180367, 0};
static int joe_kuo_d6_initial_number15249[] = {1, 3, 5, 15, 9, 7, 41, 3, 49, 485, 1471, 207, 6477, 4463, 12255, 53481, 110785, 909, 0};
static int joe_kuo_d6_initial_number15250[] = {1, 1, 5, 9, 23, 51, 107, 227, 205, 987, 1525, 2739, 6761, 12343, 32311, 12523, 93351, 29663, 0};
static int joe_kuo_d6_initial_number15251[] = {1, 3, 5, 11, 21, 19, 53, 169, 197, 21, 825, 4029, 6733, 8943, 13475, 60677, 31001, 242291, 0};
static int joe_kuo_d6_initial_number15252[] = {1, 3, 7, 13, 9, 27, 87, 37, 265, 877, 735, 2249, 4801, 2365, 16923, 40451, 29693, 222483, 0};
static int joe_kuo_d6_initial_number15253[] = {1, 1, 3, 9, 31, 61, 71, 103, 215, 421, 193, 3451, 6181, 4271, 30875, 59573, 80773, 100369, 0};
static int joe_kuo_d6_initial_number15254[] = {1, 1, 3, 13, 17, 55, 73, 191, 233, 821, 961, 1637, 2393, 3453, 25959, 5069, 114585, 186001, 0};
static int joe_kuo_d6_initial_number15255[] = {1, 1, 7, 5, 15, 27, 39, 23, 69, 811, 709, 2349, 6011, 803, 12497, 7387, 62023, 247875, 0};
static int joe_kuo_d6_initial_number15256[] = {1, 1, 5, 13, 29, 55, 51, 41, 121, 599, 1633, 3813, 1913, 3803, 26097, 53799, 30997, 261965, 0};
static int joe_kuo_d6_initial_number15257[] = {1, 1, 1, 11, 31, 25, 19, 195, 87, 657, 1005, 3853, 61, 6585, 24665, 38283, 5495, 257201, 0};
static int joe_kuo_d6_initial_number15258[] = {1, 1, 1, 11, 23, 43, 91, 121, 49, 491, 1443, 1873, 7689, 15957, 30463, 64079, 100003, 325, 0};
static int joe_kuo_d6_initial_number15259[] = {1, 1, 7, 1, 25, 51, 27, 105, 119, 233, 513, 3403, 2647, 2847, 12687, 15619, 71225, 243759, 0};
static int joe_kuo_d6_initial_number15260[] = {1, 1, 7, 3, 17, 49, 19, 123, 307, 463, 1619, 1853, 7019, 2605, 17351, 7971, 20675, 235929, 0};
static int joe_kuo_d6_initial_number15261[] = {1, 1, 5, 3, 17, 29, 71, 215, 365, 955, 1631, 3549, 1379, 13881, 25409, 55703, 29863, 135401, 0};
static int joe_kuo_d6_initial_number15262[] = {1, 3, 7, 15, 3, 27, 107, 149, 65, 681, 505, 3957, 6697, 11203, 9321, 63323, 98587, 199241, 0};
static int joe_kuo_d6_initial_number15263[] = {1, 1, 1, 13, 27, 41, 59, 223, 431, 339, 1805, 899, 639, 6559, 13233, 4773, 37415, 110477, 0};
static int joe_kuo_d6_initial_number15264[] = {1, 3, 7, 9, 1, 59, 79, 161, 311, 905, 1755, 3915, 6259, 8955, 14187, 11331, 86185, 209805, 0};
static int joe_kuo_d6_initial_number15265[] = {1, 1, 7, 9, 5, 27, 75, 93, 285, 89, 891, 3341, 1157, 11219, 8883, 8093, 68949, 189643, 0};
static int joe_kuo_d6_initial_number15266[] = {1, 3, 1, 5, 1, 43, 97, 71, 67, 605, 739, 1641, 4415, 4487, 13437, 12755, 121595, 55761, 0};
static int joe_kuo_d6_initial_number15267[] = {1, 1, 1, 3, 1, 13, 61, 77, 297, 507, 1527, 3585, 4515, 13913, 7679, 28461, 61807, 196517, 0};
static int joe_kuo_d6_initial_number15268[] = {1, 1, 1, 3, 21, 23, 101, 135, 59, 485, 1601, 3713, 7409, 349, 16543, 18897, 97253, 149055, 0};
static int joe_kuo_d6_initial_number15269[] = {1, 1, 1, 13, 5, 37, 15, 37, 109, 1005, 363, 1925, 2701, 13169, 17027, 58453, 27667, 234027, 0};
static int joe_kuo_d6_initial_number15270[] = {1, 1, 7, 1, 1, 41, 67, 231, 143, 951, 2023, 3465, 1717, 645, 17353, 9037, 129127, 199467, 0};
static int joe_kuo_d6_initial_number15271[] = {1, 1, 1, 11, 27, 29, 65, 139, 425, 947, 141, 2601, 7339, 4451, 25065, 62691, 62355, 91819, 0};
static int joe_kuo_d6_initial_number15272[] = {1, 3, 7, 15, 29, 29, 93, 25, 139, 267, 1319, 3839, 7295, 11855, 17775, 30199, 44127, 150875, 0};
static int joe_kuo_d6_initial_number15273[] = {1, 3, 5, 1, 3, 55, 23, 191, 199, 583, 1167, 1357, 6477, 11827, 15581, 56541, 16603, 120139, 0};
static int joe_kuo_d6_initial_number15274[] = {1, 1, 1, 3, 5, 47, 103, 211, 443, 491, 1043, 4001, 121, 1637, 5685, 42675, 13009, 22979, 0};
static int joe_kuo_d6_initial_number15275[] = {1, 1, 1, 9, 21, 7, 77, 17, 303, 955, 51, 2389, 3573, 8817, 28053, 40269, 35457, 211023, 0};
static int joe_kuo_d6_initial_number15276[] = {1, 3, 5, 15, 3, 39, 17, 75, 223, 37, 1231, 2127, 3575, 9085, 10715, 41871, 103703, 154181, 0};
static int joe_kuo_d6_initial_number15277[] = {1, 3, 3, 15, 25, 31, 31, 223, 473, 267, 1519, 3205, 7029, 10753, 24757, 28187, 117921, 26783, 0};
static int joe_kuo_d6_initial_number15278[] = {1, 3, 7, 1, 5, 21, 105, 191, 55, 115, 1813, 3701, 1673, 4199, 2441, 19737, 46913, 208725, 0};
static int joe_kuo_d6_initial_number15279[] = {1, 1, 5, 5, 19, 63, 89, 141, 143, 783, 545, 883, 2979, 9219, 24983, 41793, 88441, 207095, 0};
static int joe_kuo_d6_initial_number15280[] = {1, 1, 1, 9, 21, 21, 93, 161, 93, 733, 417, 3133, 8155, 12415, 16343, 11727, 82877, 94469, 0};
static int joe_kuo_d6_initial_number15281[] = {1, 1, 5, 15, 5, 39, 33, 203, 213, 731, 1849, 1675, 6029, 2743, 1529, 16345, 13955, 54929, 0};
static int joe_kuo_d6_initial_number15282[] = {1, 1, 7, 7, 23, 47, 121, 211, 271, 737, 1015, 1021, 5641, 12659, 27545, 52363, 104761, 150143, 0};
static int joe_kuo_d6_initial_number15283[] = {1, 3, 1, 11, 11, 51, 79, 141, 255, 1007, 481, 3221, 7741, 6861, 24943, 63091, 46741, 33359, 0};
static int joe_kuo_d6_initial_number15284[] = {1, 1, 3, 3, 27, 47, 85, 27, 423, 811, 75, 3911, 1951, 10821, 7487, 18971, 83355, 197479, 0};
static int joe_kuo_d6_initial_number15285[] = {1, 1, 5, 5, 1, 63, 125, 251, 457, 795, 557, 217, 2335, 5659, 18375, 52183, 9789, 31417, 0};
static int joe_kuo_d6_initial_number15286[] = {1, 3, 3, 3, 19, 61, 41, 129, 345, 361, 187, 3881, 43, 7197, 7673, 25011, 115155, 16375, 0};
static int joe_kuo_d6_initial_number15287[] = {1, 3, 3, 7, 13, 7, 55, 91, 153, 341, 2003, 2013, 6891, 2411, 14825, 39555, 50267, 61405, 0};
static int joe_kuo_d6_initial_number15288[] = {1, 3, 5, 7, 13, 57, 21, 91, 331, 615, 1297, 2881, 2011, 1907, 16489, 43061, 75731, 76675, 0};
static int joe_kuo_d6_initial_number15289[] = {1, 1, 5, 5, 25, 15, 77, 175, 101, 885, 835, 529, 2787, 547, 20191, 50457, 58557, 61807, 0};
static int joe_kuo_d6_initial_number15290[] = {1, 3, 7, 1, 13, 47, 101, 117, 179, 245, 861, 611, 4377, 5257, 12807, 26667, 19889, 112485, 0};
static int joe_kuo_d6_initial_number15291[] = {1, 3, 7, 1, 27, 3, 23, 109, 197, 187, 963, 1827, 5741, 11921, 6359, 3989, 108939, 5761, 0};
static int joe_kuo_d6_initial_number15292[] = {1, 1, 7, 5, 27, 7, 119, 159, 53, 969, 557, 597, 7821, 7121, 17341, 11233, 10811, 23969, 0};
static int joe_kuo_d6_initial_number15293[] = {1, 1, 3, 13, 23, 55, 75, 131, 339, 917, 317, 2645, 5973, 9939, 26375, 29261, 80883, 229897, 0};
static int joe_kuo_d6_initial_number15294[] = {1, 1, 5, 13, 3, 63, 41, 191, 315, 191, 649, 2119, 317, 14699, 4097, 19557, 97015, 124557, 0};
static int joe_kuo_d6_initial_number15295[] = {1, 3, 7, 15, 13, 29, 29, 43, 47, 37, 729, 185, 4477, 15091, 13991, 18701, 56785, 218823, 0};
static int joe_kuo_d6_initial_number15296[] = {1, 3, 7, 15, 31, 39, 17, 133, 469, 509, 995, 1683, 391, 1775, 15431, 63489, 7405, 122125, 0};
static int joe_kuo_d6_initial_number15297[] = {1, 3, 7, 5, 15, 63, 5, 235, 193, 411, 1493, 3967, 3279, 6421, 13359, 20949, 68097, 69469, 0};
static int joe_kuo_d6_initial_number15298[] = {1, 3, 3, 13, 7, 37, 7, 207, 399, 553, 1629, 1903, 329, 7577, 5813, 17151, 40889, 174811, 0};
static int joe_kuo_d6_initial_number15299[] = {1, 3, 1, 13, 7, 39, 119, 109, 323, 61, 749, 1377, 911, 8195, 19753, 6265, 60783, 182339, 0};
static int joe_kuo_d6_initial_number15300[] = {1, 1, 5, 11, 3, 21, 89, 61, 243, 273, 1317, 3443, 117, 6205, 13907, 12903, 95485, 103355, 0};
static int joe_kuo_d6_initial_number15301[] = {1, 3, 7, 13, 19, 27, 45, 251, 405, 289, 121, 1501, 2599, 8111, 5163, 17437, 75095, 165847, 0};
static int joe_kuo_d6_initial_number15302[] = {1, 3, 3, 5, 23, 13, 29, 145, 333, 573, 1939, 2133, 5797, 5263, 18835, 11945, 42161, 103123, 0};
static int joe_kuo_d6_initial_number15303[] = {1, 3, 5, 13, 9, 31, 45, 17, 181, 111, 219, 3451, 1591, 5823, 20307, 41207, 77047, 173401, 0};
static int joe_kuo_d6_initial_number15304[] = {1, 3, 1, 9, 19, 63, 73, 111, 377, 875, 1749, 2887, 7035, 14209, 1805, 20527, 93839, 225185, 0};
static int joe_kuo_d6_initial_number15305[] = {1, 3, 1, 9, 15, 45, 97, 235, 11, 803, 899, 427, 3353, 7363, 26687, 1307, 5451, 176233, 0};
static int joe_kuo_d6_initial_number15306[] = {1, 3, 7, 5, 7, 51, 59, 53, 3, 263, 159, 1005, 6079, 7237, 17419, 56653, 61091, 182209, 0};
static int joe_kuo_d6_initial_number15307[] = {1, 1, 3, 15, 19, 47, 17, 185, 167, 219, 233, 2921, 5755, 1277, 27281, 33671, 3191, 169477, 0};
static int joe_kuo_d6_initial_number15308[] = {1, 3, 7, 1, 25, 27, 99, 81, 57, 969, 821, 2397, 2947, 5913, 15247, 47651, 449, 183295, 0};
static int joe_kuo_d6_initial_number15309[] = {1, 3, 1, 15, 3, 63, 83, 75, 41, 959, 1005, 153, 97, 15381, 6901, 55141, 90215, 161321, 0};
static int joe_kuo_d6_initial_number15310[] = {1, 3, 1, 9, 1, 1, 29, 191, 43, 241, 607, 667, 1189, 4389, 31335, 14133, 104049, 100925, 0};
static int joe_kuo_d6_initial_number15311[] = {1, 1, 3, 1, 1, 61, 109, 23, 325, 27, 1601, 3957, 7181, 8375, 9823, 50533, 114895, 73825, 0};
static int joe_kuo_d6_initial_number15312[] = {1, 1, 7, 7, 1, 25, 51, 19, 383, 955, 1717, 2953, 5431, 7883, 14451, 18619, 9601, 153151, 0};
static int joe_kuo_d6_initial_number15313[] = {1, 3, 1, 5, 1, 1, 35, 3, 141, 37, 1531, 1855, 7905, 6509, 6223, 45911, 54267, 172275, 0};
static int joe_kuo_d6_initial_number15314[] = {1, 1, 3, 15, 23, 39, 109, 145, 215, 147, 1191, 2425, 301, 5543, 997, 31071, 101697, 169677, 0};
static int joe_kuo_d6_initial_number15315[] = {1, 1, 3, 5, 17, 23, 41, 191, 367, 967, 1625, 3669, 769, 7599, 111, 4399, 64121, 232275, 0};
static int joe_kuo_d6_initial_number15316[] = {1, 3, 5, 1, 25, 61, 47, 247, 413, 605, 399, 1233, 2789, 9775, 7111, 42853, 2305, 87423, 0};
static int joe_kuo_d6_initial_number15317[] = {1, 3, 7, 3, 1, 25, 73, 247, 221, 235, 169, 889, 5635, 4325, 27015, 39549, 107545, 80885, 0};
static int joe_kuo_d6_initial_number15318[] = {1, 1, 7, 11, 15, 55, 61, 103, 179, 157, 481, 3089, 4539, 375, 25425, 14995, 60119, 31031, 0};
static int joe_kuo_d6_initial_number15319[] = {1, 3, 3, 1, 31, 17, 87, 123, 27, 309, 1693, 3871, 7319, 15615, 20113, 18239, 86407, 172381, 0};
static int joe_kuo_d6_initial_number15320[] = {1, 1, 1, 13, 17, 31, 83, 149, 451, 305, 847, 223, 5705, 9697, 4967, 34273, 4041, 252891, 0};
static int joe_kuo_d6_initial_number15321[] = {1, 3, 3, 15, 7, 27, 105, 207, 443, 825, 701, 1159, 5267, 14085, 28295, 41757, 47799, 14835, 0};
static int joe_kuo_d6_initial_number15322[] = {1, 3, 7, 3, 1, 31, 77, 219, 139, 497, 1575, 905, 4341, 4611, 27861, 59871, 45525, 21735, 0};
static int joe_kuo_d6_initial_number15323[] = {1, 3, 3, 3, 7, 17, 65, 183, 231, 955, 1111, 1899, 1677, 13685, 29395, 10449, 62505, 125643, 0};
static int joe_kuo_d6_initial_number15324[] = {1, 3, 5, 7, 27, 57, 81, 165, 279, 989, 1569, 573, 7593, 10067, 1343, 12039, 117175, 225125, 0};
static int joe_kuo_d6_initial_number15325[] = {1, 3, 3, 15, 19, 37, 47, 175, 87, 153, 1137, 1985, 2473, 14767, 19587, 41751, 98937, 66667, 0};
static int joe_kuo_d6_initial_number15326[] = {1, 3, 5, 3, 19, 51, 25, 155, 37, 597, 719, 1039, 165, 1871, 15677, 59891, 29899, 231979, 0};
static int joe_kuo_d6_initial_number15327[] = {1, 3, 5, 13, 15, 39, 17, 21, 73, 695, 1813, 2463, 3549, 3081, 14037, 13077, 40417, 258995, 0};
static int joe_kuo_d6_initial_number15328[] = {1, 1, 5, 9, 29, 5, 105, 75, 97, 937, 1767, 975, 637, 9419, 30673, 33537, 979, 45381, 0};
static int joe_kuo_d6_initial_number15329[] = {1, 1, 5, 9, 3, 31, 91, 193, 171, 163, 925, 3519, 3621, 4943, 14093, 22881, 18459, 110155, 0};
static int joe_kuo_d6_initial_number15330[] = {1, 1, 3, 7, 29, 1, 39, 107, 359, 805, 91, 2911, 4741, 3099, 16967, 45849, 95255, 63225, 0};
static int joe_kuo_d6_initial_number15331[] = {1, 1, 5, 13, 25, 41, 49, 145, 345, 823, 1571, 341, 6323, 9679, 14855, 19965, 108367, 99833, 0};
static int joe_kuo_d6_initial_number15332[] = {1, 3, 5, 3, 27, 35, 87, 83, 373, 425, 281, 1313, 5153, 6301, 2745, 12677, 34603, 181835, 0};
static int joe_kuo_d6_initial_number15333[] = {1, 1, 7, 7, 13, 17, 83, 101, 141, 789, 1403, 2777, 2749, 1551, 9009, 9909, 48443, 176679, 0};
static int joe_kuo_d6_initial_number15334[] = {1, 3, 5, 9, 7, 25, 125, 109, 155, 357, 1111, 3057, 771, 11253, 25811, 60333, 68505, 146987, 0};
static int joe_kuo_d6_initial_number15335[] = {1, 3, 7, 7, 29, 19, 69, 115, 411, 793, 51, 715, 3035, 11577, 14237, 23963, 13915, 196771, 0};
static int joe_kuo_d6_initial_number15336[] = {1, 1, 3, 3, 27, 37, 61, 163, 131, 749, 37, 1333, 47, 2519, 25473, 40851, 55861, 113961, 0};
static int joe_kuo_d6_initial_number15337[] = {1, 3, 5, 1, 3, 49, 19, 251, 125, 387, 1887, 3571, 1465, 4831, 3859, 43357, 20859, 225835, 0};
static int joe_kuo_d6_initial_number15338[] = {1, 3, 5, 9, 27, 53, 53, 143, 383, 781, 819, 2921, 3499, 11551, 18761, 14453, 58209, 181763, 0};
static int joe_kuo_d6_initial_number15339[] = {1, 3, 7, 9, 17, 17, 79, 61, 145, 413, 541, 895, 2077, 6957, 28681, 44821, 30609, 131705, 0};
static int joe_kuo_d6_initial_number15340[] = {1, 1, 3, 15, 1, 57, 17, 125, 11, 43, 1079, 1023, 5391, 67, 31701, 5737, 429, 75411, 0};
static int joe_kuo_d6_initial_number15341[] = {1, 1, 7, 7, 21, 45, 65, 127, 447, 793, 161, 333, 637, 7403, 12861, 30173, 125121, 254687, 0};
static int joe_kuo_d6_initial_number15342[] = {1, 1, 3, 9, 27, 53, 85, 223, 297, 455, 919, 2371, 7049, 7167, 18075, 22815, 10265, 14765, 0};
static int joe_kuo_d6_initial_number15343[] = {1, 1, 3, 7, 1, 53, 91, 181, 471, 101, 771, 4043, 3039, 1215, 19289, 15941, 55187, 147355, 0};
static int joe_kuo_d6_initial_number15344[] = {1, 3, 1, 1, 13, 19, 13, 47, 159, 965, 1383, 297, 4299, 7181, 1271, 17057, 114847, 180883, 0};
static int joe_kuo_d6_initial_number15345[] = {1, 3, 1, 15, 29, 55, 113, 243, 215, 665, 641, 1975, 5907, 2617, 17077, 43697, 61101, 70007, 0};
static int joe_kuo_d6_initial_number15346[] = {1, 3, 1, 11, 5, 55, 109, 145, 307, 663, 1327, 1247, 8033, 15425, 18539, 57027, 72161, 181655, 0};
static int joe_kuo_d6_initial_number15347[] = {1, 3, 5, 9, 25, 17, 3, 57, 7, 449, 1049, 3423, 5769, 12713, 29849, 1017, 92579, 131255, 0};
static int joe_kuo_d6_initial_number15348[] = {1, 1, 7, 13, 25, 13, 55, 217, 461, 595, 931, 1883, 2645, 9625, 20467, 45825, 72027, 163767, 0};
static int joe_kuo_d6_initial_number15349[] = {1, 3, 5, 15, 29, 49, 23, 47, 45, 645, 973, 3837, 621, 7373, 3585, 16083, 93823, 184593, 0};
static int joe_kuo_d6_initial_number15350[] = {1, 3, 7, 11, 27, 19, 59, 125, 447, 33, 541, 1067, 6983, 3779, 27275, 34269, 106937, 65085, 0};
static int joe_kuo_d6_initial_number15351[] = {1, 3, 1, 9, 23, 23, 51, 43, 475, 861, 1759, 2559, 3059, 1175, 31555, 27671, 117653, 162735, 0};
static int joe_kuo_d6_initial_number15352[] = {1, 1, 7, 13, 7, 61, 33, 49, 23, 737, 949, 1785, 2921, 873, 26631, 61941, 14467, 76225, 0};
static int joe_kuo_d6_initial_number15353[] = {1, 3, 7, 5, 31, 11, 49, 149, 7, 85, 1929, 1001, 4185, 221, 23719, 52265, 52973, 67967, 0};
static int joe_kuo_d6_initial_number15354[] = {1, 3, 1, 13, 17, 31, 35, 191, 65, 527, 51, 1093, 3673, 11167, 29985, 59739, 43567, 109817, 0};
static int joe_kuo_d6_initial_number15355[] = {1, 1, 1, 11, 23, 39, 95, 121, 501, 355, 1043, 993, 7533, 15763, 18399, 31601, 49373, 243209, 0};
static int joe_kuo_d6_initial_number15356[] = {1, 1, 3, 3, 15, 37, 57, 183, 27, 981, 153, 1481, 549, 7847, 2689, 57401, 46359, 175401, 0};
static int joe_kuo_d6_initial_number15357[] = {1, 3, 5, 9, 31, 19, 83, 79, 413, 597, 1957, 3027, 4751, 1437, 11255, 39513, 56927, 166841, 0};
static int joe_kuo_d6_initial_number15358[] = {1, 3, 7, 5, 27, 61, 69, 65, 143, 321, 1129, 2521, 4467, 4369, 11727, 35643, 80155, 184241, 0};
static int joe_kuo_d6_initial_number15359[] = {1, 3, 7, 1, 25, 27, 107, 219, 481, 457, 2027, 1057, 6409, 5641, 19711, 11009, 44295, 28171, 0};
static int joe_kuo_d6_initial_number15360[] = {1, 3, 3, 9, 3, 17, 85, 5, 341, 107, 2037, 93, 741, 5279, 20093, 28637, 80823, 210279, 0};
static int joe_kuo_d6_initial_number15361[] = {1, 1, 7, 15, 5, 9, 33, 167, 451, 463, 1951, 2395, 3821, 2915, 15195, 34517, 113545, 22173, 0};
static int joe_kuo_d6_initial_number15362[] = {1, 1, 3, 1, 23, 55, 113, 159, 139, 795, 69, 2021, 6769, 10807, 18605, 54161, 39501, 233797, 0};
static int joe_kuo_d6_initial_number15363[] = {1, 1, 7, 11, 17, 53, 103, 131, 385, 909, 629, 3127, 6117, 11457, 31115, 8255, 33227, 170877, 0};
static int joe_kuo_d6_initial_number15364[] = {1, 1, 3, 9, 23, 19, 99, 221, 141, 731, 311, 2617, 2763, 375, 26763, 56473, 6613, 60519, 0};
static int joe_kuo_d6_initial_number15365[] = {1, 3, 1, 9, 7, 29, 15, 105, 243, 159, 1755, 3999, 5861, 12009, 30111, 48269, 70427, 187173, 0};
static int joe_kuo_d6_initial_number15366[] = {1, 1, 3, 13, 1, 35, 39, 121, 409, 571, 1835, 1535, 4671, 12671, 4503, 4783, 48009, 216837, 0};
static int joe_kuo_d6_initial_number15367[] = {1, 1, 1, 9, 25, 61, 87, 109, 489, 107, 1741, 859, 237, 7161, 27117, 58587, 55445, 155763, 0};
static int joe_kuo_d6_initial_number15368[] = {1, 1, 7, 15, 9, 21, 61, 159, 301, 863, 1823, 11, 419, 6717, 28199, 24129, 58419, 22147, 0};
static int joe_kuo_d6_initial_number15369[] = {1, 3, 1, 5, 9, 7, 13, 205, 185, 759, 777, 2877, 5991, 14555, 18793, 51485, 6373, 232105, 0};
static int joe_kuo_d6_initial_number15370[] = {1, 1, 3, 5, 7, 25, 51, 79, 227, 447, 867, 2709, 2677, 15249, 22957, 45577, 39011, 16839, 0};
static int joe_kuo_d6_initial_number15371[] = {1, 1, 1, 3, 5, 51, 69, 135, 395, 339, 685, 3657, 3789, 16345, 2911, 51737, 97471, 126605, 0};
static int joe_kuo_d6_initial_number15372[] = {1, 3, 7, 15, 15, 5, 85, 153, 507, 347, 1457, 527, 1055, 7773, 4161, 10487, 92373, 256535, 0};
static int joe_kuo_d6_initial_number15373[] = {1, 3, 3, 3, 1, 9, 25, 1, 155, 321, 1739, 555, 7719, 10501, 19075, 12529, 75975, 229905, 0};
static int joe_kuo_d6_initial_number15374[] = {1, 1, 1, 3, 29, 31, 89, 23, 283, 875, 1653, 855, 7613, 15277, 23845, 47443, 287, 217441, 0};
static int joe_kuo_d6_initial_number15375[] = {1, 3, 3, 1, 25, 7, 75, 119, 493, 131, 231, 3063, 7171, 5437, 16385, 50347, 87427, 53603, 0};
static int joe_kuo_d6_initial_number15376[] = {1, 3, 7, 7, 27, 55, 103, 223, 219, 103, 733, 1233, 1931, 2119, 19333, 59839, 100421, 256811, 0};
static int joe_kuo_d6_initial_number15377[] = {1, 3, 7, 15, 23, 63, 77, 151, 285, 701, 1403, 1267, 6975, 11421, 24943, 51647, 75651, 191675, 0};
static int joe_kuo_d6_initial_number15378[] = {1, 1, 5, 7, 25, 23, 25, 7, 503, 759, 997, 1711, 1439, 12483, 30117, 55205, 8813, 221589, 0};
static int joe_kuo_d6_initial_number15379[] = {1, 3, 7, 5, 21, 3, 117, 65, 461, 851, 915, 575, 3061, 1055, 11999, 8375, 128677, 98005, 0};
static int joe_kuo_d6_initial_number15380[] = {1, 3, 7, 7, 19, 13, 123, 23, 41, 293, 79, 1435, 1175, 7399, 14907, 4671, 88029, 220627, 0};
static int joe_kuo_d6_initial_number15381[] = {1, 3, 3, 13, 11, 17, 65, 21, 143, 257, 1001, 2423, 5659, 11681, 23605, 40649, 49797, 55497, 0};
static int joe_kuo_d6_initial_number15382[] = {1, 3, 5, 5, 29, 15, 125, 83, 139, 381, 1435, 2129, 1699, 10725, 531, 767, 112477, 134223, 0};
static int joe_kuo_d6_initial_number15383[] = {1, 3, 7, 9, 9, 23, 35, 1, 127, 143, 707, 1475, 4705, 8921, 14919, 50909, 64425, 33381, 0};
static int joe_kuo_d6_initial_number15384[] = {1, 1, 1, 15, 11, 63, 87, 101, 243, 833, 707, 4095, 201, 4877, 10219, 39019, 129779, 229857, 0};
static int joe_kuo_d6_initial_number15385[] = {1, 1, 1, 11, 5, 9, 35, 177, 303, 545, 917, 1037, 1789, 12147, 29095, 27391, 112833, 104713, 0};
static int joe_kuo_d6_initial_number15386[] = {1, 1, 1, 5, 27, 23, 111, 219, 439, 445, 967, 3527, 6203, 1829, 19657, 48965, 85213, 58719, 0};
static int joe_kuo_d6_initial_number15387[] = {1, 3, 7, 11, 15, 7, 95, 113, 317, 225, 1229, 3033, 5777, 4075, 24093, 3539, 19333, 212757, 0};
static int joe_kuo_d6_initial_number15388[] = {1, 3, 7, 7, 1, 35, 35, 67, 459, 769, 1675, 3509, 7393, 10433, 12003, 7385, 4425, 188989, 0};
static int joe_kuo_d6_initial_number15389[] = {1, 1, 7, 9, 5, 45, 35, 27, 443, 301, 533, 2803, 99, 17, 20749, 58353, 93067, 118763, 0};
static int joe_kuo_d6_initial_number15390[] = {1, 1, 3, 3, 13, 51, 61, 181, 81, 859, 1461, 3455, 2277, 13769, 1251, 4313, 119973, 30693, 0};
static int joe_kuo_d6_initial_number15391[] = {1, 1, 3, 7, 15, 29, 23, 207, 239, 65, 1889, 151, 7793, 2657, 13673, 29033, 74477, 215027, 0};
static int joe_kuo_d6_initial_number15392[] = {1, 1, 5, 1, 19, 35, 19, 71, 187, 783, 543, 505, 347, 3191, 1087, 49735, 54109, 27979, 0};
static int joe_kuo_d6_initial_number15393[] = {1, 3, 3, 3, 3, 61, 67, 59, 207, 957, 1709, 1567, 7973, 5921, 29841, 8311, 81165, 91965, 0};
static int joe_kuo_d6_initial_number15394[] = {1, 1, 1, 7, 23, 47, 109, 189, 447, 861, 1615, 3283, 3059, 749, 28729, 8713, 38743, 211019, 0};
static int joe_kuo_d6_initial_number15395[] = {1, 3, 5, 1, 17, 51, 127, 181, 355, 515, 603, 465, 1825, 9281, 31971, 42793, 22467, 175777, 0};
static int joe_kuo_d6_initial_number15396[] = {1, 3, 1, 5, 3, 29, 111, 91, 99, 15, 535, 3047, 1083, 7181, 28003, 60719, 71825, 12293, 0};
static int joe_kuo_d6_initial_number15397[] = {1, 3, 5, 7, 1, 43, 83, 117, 221, 353, 139, 647, 6017, 4655, 31823, 22097, 118537, 71803, 0};
static int joe_kuo_d6_initial_number15398[] = {1, 1, 3, 3, 27, 11, 35, 169, 215, 883, 1195, 2983, 4651, 15893, 24051, 313, 103947, 5227, 0};
static int joe_kuo_d6_initial_number15399[] = {1, 3, 5, 13, 3, 51, 33, 159, 499, 763, 845, 1541, 3837, 9397, 855, 4187, 112167, 243817, 0};
static int joe_kuo_d6_initial_number15400[] = {1, 1, 7, 9, 1, 15, 19, 239, 227, 561, 1685, 2841, 53, 9753, 15105, 34277, 128859, 100085, 0};
static int joe_kuo_d6_initial_number15401[] = {1, 3, 5, 13, 15, 7, 57, 9, 415, 1005, 583, 1347, 4349, 3603, 9125, 15019, 77735, 237011, 0};
static int joe_kuo_d6_initial_number15402[] = {1, 1, 1, 13, 27, 21, 105, 17, 235, 605, 1417, 2053, 3233, 11617, 28651, 43161, 71663, 98373, 0};
static int joe_kuo_d6_initial_number15403[] = {1, 3, 5, 13, 29, 17, 123, 105, 477, 359, 613, 1699, 2581, 3007, 8507, 14391, 95487, 633, 0};
static int joe_kuo_d6_initial_number15404[] = {1, 1, 7, 7, 13, 55, 107, 211, 71, 339, 1169, 2629, 165, 16207, 25523, 7101, 47553, 261131, 0};
static int joe_kuo_d6_initial_number15405[] = {1, 3, 5, 15, 11, 7, 45, 207, 39, 41, 781, 3347, 2529, 4475, 9665, 31499, 119837, 128755, 0};
static int joe_kuo_d6_initial_number15406[] = {1, 3, 1, 15, 23, 59, 59, 17, 89, 823, 59, 3991, 305, 14893, 1411, 8015, 92193, 66935, 0};
static int joe_kuo_d6_initial_number15407[] = {1, 1, 7, 15, 19, 29, 11, 207, 429, 851, 1661, 2903, 4413, 447, 29447, 39243, 70435, 160451, 0};
static int joe_kuo_d6_initial_number15408[] = {1, 1, 3, 13, 17, 5, 93, 89, 455, 67, 33, 65, 7957, 14383, 28525, 56983, 71899, 4881, 0};
static int joe_kuo_d6_initial_number15409[] = {1, 3, 3, 5, 11, 7, 47, 233, 433, 791, 47, 2561, 6539, 1151, 2083, 12309, 62353, 69507, 0};
static int joe_kuo_d6_initial_number15410[] = {1, 3, 5, 11, 15, 55, 101, 251, 41, 39, 383, 3481, 1817, 3447, 6205, 38169, 98267, 157091, 0};
static int joe_kuo_d6_initial_number15411[] = {1, 3, 5, 7, 9, 47, 113, 55, 421, 703, 849, 2251, 129, 9257, 28097, 33475, 98933, 32041, 0};
static int joe_kuo_d6_initial_number15412[] = {1, 3, 3, 11, 9, 59, 1, 211, 277, 969, 977, 3079, 4707, 3341, 17679, 9469, 52859, 125883, 0};
static int joe_kuo_d6_initial_number15413[] = {1, 1, 7, 13, 29, 19, 49, 149, 259, 573, 1137, 2571, 2661, 12865, 24993, 10721, 96921, 85931, 0};
static int joe_kuo_d6_initial_number15414[] = {1, 3, 1, 9, 15, 27, 91, 127, 305, 159, 523, 2539, 1969, 4325, 595, 37077, 79919, 26889, 0};
static int joe_kuo_d6_initial_number15415[] = {1, 3, 1, 11, 1, 5, 65, 75, 317, 909, 1601, 2713, 6891, 4927, 28427, 5791, 82285, 35209, 0};
static int joe_kuo_d6_initial_number15416[] = {1, 3, 7, 7, 9, 5, 111, 167, 477, 437, 1133, 2715, 6189, 5051, 4765, 26267, 99819, 70419, 0};
static int joe_kuo_d6_initial_number15417[] = {1, 1, 3, 9, 27, 57, 23, 233, 423, 191, 1159, 1539, 6397, 16041, 8803, 19787, 114447, 17029, 0};
static int joe_kuo_d6_initial_number15418[] = {1, 1, 5, 1, 11, 3, 111, 125, 287, 487, 1663, 1953, 3771, 2011, 18167, 47471, 94041, 87569, 0};
static int joe_kuo_d6_initial_number15419[] = {1, 3, 1, 11, 5, 9, 75, 153, 37, 803, 971, 1667, 4631, 9183, 20179, 6905, 80949, 54443, 0};
static int joe_kuo_d6_initial_number15420[] = {1, 1, 1, 5, 13, 29, 91, 201, 49, 739, 1569, 2725, 257, 5505, 5289, 40731, 27843, 16565, 0};
static int joe_kuo_d6_initial_number15421[] = {1, 1, 7, 13, 27, 41, 81, 199, 99, 43, 1331, 3237, 6493, 3839, 19329, 44371, 19715, 60553, 0};
static int joe_kuo_d6_initial_number15422[] = {1, 1, 5, 7, 29, 41, 67, 163, 467, 93, 1977, 2625, 6967, 6655, 19835, 39517, 10259, 200487, 0};
static int joe_kuo_d6_initial_number15423[] = {1, 1, 3, 15, 23, 35, 31, 171, 175, 883, 593, 245, 6209, 7381, 5555, 54507, 66159, 40771, 0};
static int joe_kuo_d6_initial_number15424[] = {1, 3, 3, 11, 3, 63, 75, 177, 239, 77, 1543, 875, 7951, 7571, 961, 9909, 101781, 160399, 0};
static int joe_kuo_d6_initial_number15425[] = {1, 3, 1, 3, 3, 37, 71, 231, 373, 443, 835, 1321, 2107, 2929, 7527, 47969, 15329, 94537, 0};
static int joe_kuo_d6_initial_number15426[] = {1, 3, 3, 15, 7, 5, 127, 121, 159, 25, 399, 3009, 4401, 9649, 4311, 18045, 22557, 135177, 0};
static int joe_kuo_d6_initial_number15427[] = {1, 1, 1, 3, 29, 57, 75, 73, 261, 493, 1417, 1351, 3407, 8553, 4893, 10325, 123149, 161435, 0};
static int joe_kuo_d6_initial_number15428[] = {1, 3, 3, 11, 15, 5, 87, 115, 337, 213, 949, 1925, 5057, 5831, 6837, 51167, 25291, 182197, 0};
static int joe_kuo_d6_initial_number15429[] = {1, 3, 1, 11, 25, 49, 27, 101, 403, 989, 1129, 3933, 1147, 13091, 11965, 38075, 68251, 103293, 0};
static int joe_kuo_d6_initial_number15430[] = {1, 1, 7, 5, 7, 49, 1, 189, 275, 63, 149, 3255, 1175, 7811, 24845, 20755, 99391, 140673, 0};
static int joe_kuo_d6_initial_number15431[] = {1, 3, 1, 13, 17, 35, 37, 37, 415, 125, 643, 443, 6215, 299, 31237, 45687, 78535, 102123, 0};
static int joe_kuo_d6_initial_number15432[] = {1, 3, 5, 3, 27, 41, 85, 215, 47, 21, 725, 1967, 2317, 121, 7827, 48229, 82027, 60271, 0};
static int joe_kuo_d6_initial_number15433[] = {1, 3, 5, 1, 1, 55, 37, 183, 117, 421, 383, 3883, 5519, 6161, 6823, 18423, 77747, 215969, 0};
static int joe_kuo_d6_initial_number15434[] = {1, 3, 5, 13, 31, 3, 117, 59, 375, 797, 1129, 1283, 3245, 12775, 30353, 3837, 130273, 228899, 0};
static int joe_kuo_d6_initial_number15435[] = {1, 3, 5, 1, 7, 33, 17, 153, 179, 255, 537, 2911, 1223, 367, 18131, 25903, 33509, 220031, 0};
static int joe_kuo_d6_initial_number15436[] = {1, 3, 7, 5, 5, 7, 103, 233, 309, 947, 1835, 3509, 4267, 15619, 5895, 30707, 81841, 191899, 0};
static int joe_kuo_d6_initial_number15437[] = {1, 1, 5, 11, 3, 15, 91, 83, 319, 765, 895, 2565, 6833, 1719, 2971, 37483, 21709, 23193, 0};
static int joe_kuo_d6_initial_number15438[] = {1, 1, 3, 11, 31, 57, 83, 233, 439, 161, 1503, 749, 6347, 15379, 2317, 24671, 93399, 239585, 0};
static int joe_kuo_d6_initial_number15439[] = {1, 1, 3, 9, 29, 45, 19, 107, 295, 153, 189, 2521, 5465, 7321, 6143, 229, 100553, 258911, 0};
static int joe_kuo_d6_initial_number15440[] = {1, 3, 7, 11, 31, 27, 95, 21, 249, 981, 1725, 1481, 1025, 9301, 11809, 53109, 29007, 127683, 0};
static int joe_kuo_d6_initial_number15441[] = {1, 3, 1, 3, 1, 23, 97, 137, 5, 471, 1887, 1035, 2681, 5143, 3145, 1517, 88107, 245245, 0};
static int joe_kuo_d6_initial_number15442[] = {1, 1, 1, 1, 15, 11, 13, 9, 405, 607, 403, 1693, 4363, 9365, 6425, 48121, 78969, 87341, 0};
static int joe_kuo_d6_initial_number15443[] = {1, 1, 7, 15, 3, 17, 7, 51, 111, 1023, 9, 465, 1909, 16283, 4763, 50939, 119029, 198257, 0};
static int joe_kuo_d6_initial_number15444[] = {1, 3, 3, 1, 31, 11, 113, 13, 499, 433, 1941, 991, 5439, 3123, 24591, 16171, 55099, 206015, 0};
static int joe_kuo_d6_initial_number15445[] = {1, 3, 5, 15, 25, 49, 125, 101, 251, 619, 1895, 4063, 3065, 14965, 20081, 11233, 58253, 69633, 0};
static int joe_kuo_d6_initial_number15446[] = {1, 1, 1, 5, 21, 35, 29, 241, 359, 553, 1001, 1865, 5183, 5233, 16371, 55277, 102091, 143275, 0};
static int joe_kuo_d6_initial_number15447[] = {1, 1, 1, 3, 29, 37, 3, 191, 239, 961, 2031, 1337, 1169, 5229, 22861, 38257, 55027, 153703, 0};
static int joe_kuo_d6_initial_number15448[] = {1, 3, 5, 7, 7, 35, 49, 139, 509, 381, 1267, 2641, 747, 16239, 23133, 32111, 70471, 128427, 0};
static int joe_kuo_d6_initial_number15449[] = {1, 1, 1, 9, 23, 25, 117, 125, 369, 891, 103, 2215, 3571, 1291, 9001, 35671, 67119, 198847, 0};
static int joe_kuo_d6_initial_number15450[] = {1, 1, 5, 9, 17, 19, 27, 7, 207, 55, 1099, 2117, 7511, 14999, 7761, 32215, 103401, 68599, 0};
static int joe_kuo_d6_initial_number15451[] = {1, 1, 7, 9, 1, 59, 41, 91, 9, 225, 457, 3241, 4713, 2923, 11973, 2867, 130583, 202007, 0};
static int joe_kuo_d6_initial_number15452[] = {1, 3, 1, 9, 31, 47, 63, 49, 457, 757, 885, 937, 2973, 12147, 2607, 52907, 126047, 83275, 0};
static int joe_kuo_d6_initial_number15453[] = {1, 3, 5, 11, 17, 1, 79, 123, 505, 203, 1779, 71, 4357, 2285, 31625, 15225, 86519, 2021, 0};
static int joe_kuo_d6_initial_number15454[] = {1, 3, 1, 11, 21, 17, 41, 169, 125, 995, 351, 1235, 25, 7463, 2099, 18917, 71355, 26983, 0};
static int joe_kuo_d6_initial_number15455[] = {1, 1, 7, 1, 21, 23, 41, 5, 415, 405, 1235, 1245, 151, 11283, 25293, 45147, 12597, 39501, 0};
static int joe_kuo_d6_initial_number15456[] = {1, 1, 1, 5, 29, 29, 15, 165, 259, 179, 1479, 3535, 779, 6583, 885, 34331, 71193, 154417, 0};
static int joe_kuo_d6_initial_number15457[] = {1, 1, 1, 5, 3, 1, 13, 181, 507, 339, 333, 4059, 7963, 15649, 15507, 16913, 34741, 202039, 0};
static int joe_kuo_d6_initial_number15458[] = {1, 3, 7, 1, 1, 9, 17, 119, 77, 583, 259, 883, 4011, 4275, 9599, 58663, 73237, 202783, 0};
static int joe_kuo_d6_initial_number15459[] = {1, 1, 5, 11, 23, 27, 19, 171, 373, 779, 661, 1701, 3363, 13095, 897, 51233, 1319, 41093, 0};
static int joe_kuo_d6_initial_number15460[] = {1, 3, 3, 3, 29, 21, 105, 29, 429, 657, 1735, 1279, 809, 14963, 9735, 23251, 44879, 159371, 0};
static int joe_kuo_d6_initial_number15461[] = {1, 1, 5, 11, 17, 27, 117, 65, 193, 539, 1095, 439, 1687, 11277, 513, 30611, 88885, 69145, 0};
static int joe_kuo_d6_initial_number15462[] = {1, 3, 1, 7, 11, 1, 27, 41, 63, 501, 917, 2397, 6839, 10835, 26437, 56169, 46631, 64095, 0};
static int joe_kuo_d6_initial_number15463[] = {1, 1, 7, 15, 29, 5, 17, 217, 333, 389, 403, 3167, 3599, 12055, 30669, 44821, 109811, 237393, 0};
static int joe_kuo_d6_initial_number15464[] = {1, 3, 5, 13, 1, 39, 51, 233, 159, 135, 763, 2499, 7741, 13099, 8639, 8043, 39827, 5989, 0};
static int joe_kuo_d6_initial_number15465[] = {1, 1, 7, 3, 1, 61, 41, 37, 37, 67, 867, 2631, 6265, 5551, 161, 56643, 126087, 126829, 0};
static int joe_kuo_d6_initial_number15466[] = {1, 1, 7, 1, 21, 39, 101, 225, 489, 123, 661, 2489, 1865, 6809, 21663, 59405, 45579, 51257, 0};
static int joe_kuo_d6_initial_number15467[] = {1, 3, 7, 9, 27, 53, 11, 97, 369, 389, 1933, 3321, 543, 12331, 11571, 10685, 49049, 244027, 0};
static int joe_kuo_d6_initial_number15468[] = {1, 3, 5, 3, 7, 15, 21, 165, 181, 877, 1161, 1815, 2097, 449, 32411, 22843, 12467, 55397, 0};
static int joe_kuo_d6_initial_number15469[] = {1, 3, 1, 3, 11, 45, 23, 193, 287, 137, 333, 1831, 457, 583, 23081, 4525, 4781, 249509, 0};
static int joe_kuo_d6_initial_number15470[] = {1, 3, 5, 5, 15, 13, 27, 199, 267, 297, 923, 3861, 4949, 7945, 25291, 45407, 47529, 127287, 0};
static int joe_kuo_d6_initial_number15471[] = {1, 1, 5, 7, 19, 29, 113, 51, 503, 487, 699, 2097, 2957, 6519, 19487, 46873, 38871, 89997, 0};
static int joe_kuo_d6_initial_number15472[] = {1, 1, 5, 13, 17, 31, 57, 127, 335, 223, 1545, 3749, 1539, 3293, 21159, 13019, 48343, 190895, 0};
static int joe_kuo_d6_initial_number15473[] = {1, 1, 7, 9, 25, 19, 75, 41, 511, 269, 819, 3313, 6805, 15051, 4349, 1809, 34841, 190641, 0};
static int joe_kuo_d6_initial_number15474[] = {1, 3, 5, 9, 27, 7, 91, 187, 123, 519, 477, 2719, 211, 1225, 22689, 37043, 66291, 205441, 0};
static int joe_kuo_d6_initial_number15475[] = {1, 1, 5, 13, 5, 41, 95, 49, 187, 239, 1213, 2363, 8075, 12423, 6361, 42471, 70047, 188063, 0};
static int joe_kuo_d6_initial_number15476[] = {1, 3, 7, 3, 27, 23, 21, 217, 65, 143, 1171, 1441, 1603, 2235, 20923, 32611, 111903, 132771, 0};
static int joe_kuo_d6_initial_number15477[] = {1, 1, 7, 9, 3, 29, 33, 203, 497, 179, 1253, 2083, 7407, 12551, 8371, 62167, 93875, 193017, 0};
static int joe_kuo_d6_initial_number15478[] = {1, 1, 1, 13, 7, 61, 43, 107, 417, 757, 1701, 3187, 5489, 11359, 20469, 20249, 93581, 207969, 0};
static int joe_kuo_d6_initial_number15479[] = {1, 1, 7, 3, 31, 51, 51, 183, 483, 885, 1627, 3605, 6687, 1271, 27013, 40409, 103807, 189805, 0};
static int joe_kuo_d6_initial_number15480[] = {1, 1, 3, 1, 21, 21, 107, 185, 267, 981, 147, 1873, 1085, 15829, 10315, 21673, 7713, 120087, 0};
static int joe_kuo_d6_initial_number15481[] = {1, 1, 5, 3, 7, 27, 73, 131, 287, 657, 1351, 547, 3655, 2433, 6753, 2465, 110299, 194587, 0};
static int joe_kuo_d6_initial_number15482[] = {1, 1, 7, 7, 17, 55, 29, 223, 411, 775, 745, 3515, 4573, 4289, 7411, 55999, 22021, 110567, 0};
static int joe_kuo_d6_initial_number15483[] = {1, 3, 1, 3, 29, 55, 7, 183, 507, 773, 1299, 3653, 7693, 3773, 29549, 4171, 123039, 137495, 0};
static int joe_kuo_d6_initial_number15484[] = {1, 1, 1, 7, 5, 25, 53, 85, 41, 837, 587, 2997, 7281, 6821, 15609, 47855, 49017, 108557, 0};
static int joe_kuo_d6_initial_number15485[] = {1, 1, 5, 5, 1, 17, 109, 231, 295, 825, 1909, 683, 2197, 1895, 8641, 37917, 36347, 38683, 0};
static int joe_kuo_d6_initial_number15486[] = {1, 3, 7, 3, 23, 39, 91, 121, 223, 505, 127, 3439, 7779, 12917, 17351, 33063, 84019, 40077, 0};
static int joe_kuo_d6_initial_number15487[] = {1, 3, 3, 1, 19, 1, 125, 99, 143, 549, 709, 3605, 2377, 761, 14369, 52191, 80811, 214877, 0};
static int joe_kuo_d6_initial_number15488[] = {1, 1, 7, 9, 13, 57, 39, 91, 505, 299, 1241, 1697, 5821, 5327, 22439, 42321, 120941, 40009, 0};
static int joe_kuo_d6_initial_number15489[] = {1, 1, 3, 13, 15, 59, 15, 129, 265, 841, 1255, 1915, 4645, 5991, 26801, 7839, 66961, 59045, 0};
static int joe_kuo_d6_initial_number15490[] = {1, 3, 7, 15, 17, 57, 61, 173, 391, 1001, 1815, 2565, 1445, 13237, 2273, 61683, 62327, 180255, 0};
static int joe_kuo_d6_initial_number15491[] = {1, 1, 3, 3, 23, 29, 115, 185, 333, 103, 1807, 3271, 4803, 9743, 3031, 25263, 30761, 1899, 0};
static int joe_kuo_d6_initial_number15492[] = {1, 1, 1, 7, 1, 13, 63, 113, 467, 17, 1803, 3141, 7069, 8895, 25823, 40347, 11211, 88769, 0};
static int joe_kuo_d6_initial_number15493[] = {1, 3, 5, 1, 3, 3, 29, 101, 315, 915, 341, 287, 4167, 7579, 19797, 18287, 19079, 52805, 0};
static int joe_kuo_d6_initial_number15494[] = {1, 3, 7, 15, 31, 61, 27, 153, 387, 273, 343, 881, 2273, 6621, 19391, 41735, 123899, 117851, 0};
static int joe_kuo_d6_initial_number15495[] = {1, 1, 7, 11, 5, 49, 83, 223, 87, 341, 1023, 2785, 3635, 2651, 5179, 25907, 115249, 74001, 0};
static int joe_kuo_d6_initial_number15496[] = {1, 3, 3, 7, 31, 37, 123, 79, 365, 455, 639, 691, 2659, 12215, 26785, 48785, 120175, 155501, 0};
static int joe_kuo_d6_initial_number15497[] = {1, 3, 3, 11, 19, 49, 81, 97, 429, 317, 257, 663, 5009, 2855, 22721, 51553, 32511, 188977, 0};
static int joe_kuo_d6_initial_number15498[] = {1, 1, 7, 11, 5, 37, 1, 123, 477, 747, 839, 3975, 6347, 489, 31387, 56037, 62935, 177587, 0};
static int joe_kuo_d6_initial_number15499[] = {1, 1, 1, 1, 29, 7, 119, 233, 255, 25, 127, 1377, 991, 12151, 31259, 64863, 34733, 86101, 0};
static int joe_kuo_d6_initial_number15500[] = {1, 3, 7, 5, 19, 57, 67, 1, 81, 719, 891, 2485, 3817, 1055, 437, 9779, 23823, 173219, 0};
static int joe_kuo_d6_initial_number15501[] = {1, 1, 1, 5, 1, 63, 87, 163, 135, 809, 637, 1233, 5245, 481, 11011, 23477, 114963, 96051, 0};
static int joe_kuo_d6_initial_number15502[] = {1, 1, 7, 5, 25, 39, 57, 129, 311, 525, 1555, 179, 639, 4949, 8809, 31215, 95975, 79407, 0};
static int joe_kuo_d6_initial_number15503[] = {1, 3, 1, 1, 15, 59, 77, 87, 479, 889, 1619, 331, 4781, 10597, 935, 28105, 83861, 134273, 0};
static int joe_kuo_d6_initial_number15504[] = {1, 3, 5, 15, 21, 55, 61, 105, 373, 185, 1579, 3487, 2621, 8993, 6443, 31709, 57329, 128165, 0};
static int joe_kuo_d6_initial_number15505[] = {1, 3, 3, 3, 7, 21, 117, 159, 177, 927, 1873, 1865, 3219, 1693, 1173, 34365, 107053, 113949, 0};
static int joe_kuo_d6_initial_number15506[] = {1, 3, 7, 1, 17, 37, 35, 101, 305, 141, 1681, 1949, 47, 11351, 989, 13887, 127429, 13059, 0};
static int joe_kuo_d6_initial_number15507[] = {1, 1, 3, 7, 13, 41, 125, 115, 65, 621, 1401, 631, 5875, 8589, 17185, 22757, 83625, 92907, 0};
static int joe_kuo_d6_initial_number15508[] = {1, 3, 1, 5, 25, 37, 73, 39, 495, 645, 265, 2685, 5875, 5919, 23223, 44593, 26207, 49921, 0};
static int joe_kuo_d6_initial_number15509[] = {1, 3, 1, 13, 25, 31, 39, 15, 179, 791, 1817, 3617, 2139, 1827, 21215, 21767, 15009, 239443, 0};
static int joe_kuo_d6_initial_number15510[] = {1, 1, 3, 7, 17, 9, 33, 121, 235, 535, 1537, 3307, 2881, 4351, 4721, 34131, 129619, 137993, 0};
static int joe_kuo_d6_initial_number15511[] = {1, 1, 3, 1, 3, 51, 79, 213, 205, 323, 1749, 2563, 2013, 6519, 18923, 25937, 74445, 252283, 0};
static int joe_kuo_d6_initial_number15512[] = {1, 3, 5, 11, 3, 53, 17, 195, 305, 543, 1937, 2997, 4593, 7801, 15307, 46359, 39365, 59537, 0};
static int joe_kuo_d6_initial_number15513[] = {1, 1, 1, 13, 31, 53, 111, 163, 139, 163, 999, 83, 5125, 10047, 11143, 51407, 13627, 3621, 0};
static int joe_kuo_d6_initial_number15514[] = {1, 1, 3, 9, 5, 1, 125, 95, 281, 939, 913, 1441, 1209, 12983, 27759, 22393, 75985, 178997, 0};
static int joe_kuo_d6_initial_number15515[] = {1, 3, 5, 3, 5, 27, 91, 41, 51, 447, 491, 3405, 497, 2873, 17865, 30651, 104197, 71751, 0};
static int joe_kuo_d6_initial_number15516[] = {1, 3, 7, 1, 29, 61, 73, 31, 423, 933, 1327, 809, 1461, 269, 15121, 18649, 36095, 139429, 0};
static int joe_kuo_d6_initial_number15517[] = {1, 1, 7, 7, 19, 49, 51, 173, 297, 411, 1255, 1093, 2821, 6743, 1927, 27563, 68459, 261411, 0};
static int joe_kuo_d6_initial_number15518[] = {1, 3, 5, 1, 5, 33, 27, 119, 103, 615, 149, 2299, 6801, 15615, 7361, 31045, 87719, 9557, 0};
static int joe_kuo_d6_initial_number15519[] = {1, 1, 3, 9, 17, 23, 89, 35, 151, 385, 319, 2065, 1897, 1987, 15159, 34855, 5395, 110751, 0};
static int joe_kuo_d6_initial_number15520[] = {1, 3, 1, 13, 7, 47, 19, 185, 207, 787, 1179, 1073, 1463, 6277, 6129, 25031, 91969, 123235, 0};
static int joe_kuo_d6_initial_number15521[] = {1, 1, 7, 3, 19, 63, 97, 1, 381, 71, 1169, 339, 6585, 3629, 31357, 59451, 102735, 253667, 0};
static int joe_kuo_d6_initial_number15522[] = {1, 3, 3, 13, 9, 27, 69, 17, 509, 599, 1247, 2267, 3309, 1905, 17995, 41263, 5947, 51607, 0};
static int joe_kuo_d6_initial_number15523[] = {1, 3, 1, 9, 31, 45, 69, 243, 171, 555, 61, 1135, 1993, 8615, 18363, 19545, 64015, 81391, 0};
static int joe_kuo_d6_initial_number15524[] = {1, 1, 1, 1, 19, 49, 31, 65, 53, 123, 271, 3007, 4509, 9465, 3855, 12673, 19457, 14677, 0};
static int joe_kuo_d6_initial_number15525[] = {1, 3, 5, 13, 29, 53, 91, 145, 115, 53, 839, 1911, 2887, 6053, 18437, 42273, 63093, 70937, 0};
static int joe_kuo_d6_initial_number15526[] = {1, 1, 5, 5, 27, 13, 87, 175, 485, 699, 463, 811, 4991, 15303, 23007, 10021, 59125, 39997, 0};
static int joe_kuo_d6_initial_number15527[] = {1, 1, 5, 5, 27, 21, 89, 61, 109, 555, 953, 2811, 3015, 3249, 16085, 64413, 84605, 177333, 0};
static int joe_kuo_d6_initial_number15528[] = {1, 1, 7, 3, 1, 29, 83, 143, 67, 577, 971, 2339, 6521, 6341, 27141, 37149, 99813, 37579, 0};
static int joe_kuo_d6_initial_number15529[] = {1, 3, 3, 7, 23, 29, 117, 5, 287, 559, 667, 2349, 7481, 679, 9633, 40857, 89841, 98125, 0};
static int joe_kuo_d6_initial_number15530[] = {1, 1, 1, 3, 31, 31, 83, 117, 213, 213, 23, 3803, 5967, 7759, 19521, 13229, 62231, 150687, 0};
static int joe_kuo_d6_initial_number15531[] = {1, 3, 7, 9, 1, 15, 37, 191, 19, 107, 1723, 3517, 3477, 3777, 4359, 45815, 58661, 33217, 0};
static int joe_kuo_d6_initial_number15532[] = {1, 1, 5, 1, 17, 3, 3, 255, 501, 1021, 1731, 481, 6145, 3475, 3417, 11847, 92203, 75109, 0};
static int joe_kuo_d6_initial_number15533[] = {1, 1, 5, 1, 1, 61, 89, 107, 503, 627, 931, 1355, 2067, 12487, 20665, 61543, 15501, 103843, 0};
static int joe_kuo_d6_initial_number15534[] = {1, 1, 5, 9, 25, 17, 7, 255, 251, 939, 851, 2241, 939, 15331, 29357, 2485, 80791, 152601, 0};
static int joe_kuo_d6_initial_number15535[] = {1, 1, 5, 3, 13, 25, 35, 113, 83, 765, 1317, 1409, 369, 2215, 5659, 3581, 13925, 108673, 0};
static int joe_kuo_d6_initial_number15536[] = {1, 1, 1, 1, 13, 13, 83, 27, 5, 563, 723, 2733, 3155, 6567, 24595, 45569, 37587, 144401, 0};
static int joe_kuo_d6_initial_number15537[] = {1, 1, 1, 9, 31, 51, 73, 105, 299, 857, 669, 963, 4115, 14939, 11669, 46215, 92707, 149249, 0};
static int joe_kuo_d6_initial_number15538[] = {1, 1, 3, 5, 7, 41, 105, 213, 3, 999, 93, 1497, 6783, 1559, 20047, 40761, 88219, 64769, 0};
static int joe_kuo_d6_initial_number15539[] = {1, 3, 1, 5, 13, 17, 79, 29, 453, 75, 1095, 623, 7401, 4225, 30467, 60795, 130045, 154767, 0};
static int joe_kuo_d6_initial_number15540[] = {1, 1, 5, 3, 31, 59, 33, 129, 505, 277, 1623, 3531, 6841, 12903, 7231, 5801, 92405, 260195, 0};
static int joe_kuo_d6_initial_number15541[] = {1, 1, 3, 5, 27, 23, 63, 219, 225, 547, 1163, 1899, 4191, 9725, 30077, 30157, 73395, 38195, 0};
static int joe_kuo_d6_initial_number15542[] = {1, 1, 1, 11, 17, 27, 63, 127, 95, 205, 1753, 2023, 6803, 4355, 28169, 16691, 25105, 8969, 0};
static int joe_kuo_d6_initial_number15543[] = {1, 1, 5, 3, 23, 23, 89, 115, 231, 647, 513, 3161, 3175, 5061, 5797, 35387, 109827, 19511, 0};
static int joe_kuo_d6_initial_number15544[] = {1, 3, 5, 5, 11, 9, 39, 251, 367, 253, 2031, 3909, 1057, 12545, 25397, 51571, 91229, 83721, 0};
static int joe_kuo_d6_initial_number15545[] = {1, 3, 5, 7, 5, 35, 57, 153, 111, 789, 177, 2237, 1333, 13185, 993, 22099, 62113, 211815, 0};
static int joe_kuo_d6_initial_number15546[] = {1, 1, 5, 15, 19, 37, 123, 221, 375, 605, 791, 1663, 7537, 7193, 20149, 58077, 113129, 185493, 0};
static int joe_kuo_d6_initial_number15547[] = {1, 1, 1, 1, 1, 53, 117, 227, 441, 851, 1171, 4031, 2313, 2847, 25533, 31767, 18197, 153101, 0};
static int joe_kuo_d6_initial_number15548[] = {1, 1, 3, 3, 13, 9, 65, 225, 71, 763, 1507, 3795, 4321, 399, 12515, 4527, 89193, 236161, 0};
static int joe_kuo_d6_initial_number15549[] = {1, 1, 3, 11, 21, 63, 73, 125, 369, 309, 953, 3525, 3925, 13609, 26061, 21739, 112867, 112985, 0};
static int joe_kuo_d6_initial_number15550[] = {1, 1, 7, 1, 27, 25, 3, 129, 321, 193, 1871, 233, 837, 11163, 14861, 42721, 72849, 206739, 0};
static int joe_kuo_d6_initial_number15551[] = {1, 3, 7, 3, 5, 51, 43, 177, 167, 11, 1297, 1805, 515, 6485, 8253, 271, 47435, 252291, 0};
static int joe_kuo_d6_initial_number15552[] = {1, 3, 3, 3, 19, 47, 47, 47, 299, 101, 1535, 3593, 4669, 10367, 19219, 16579, 85269, 36115, 0};
static int joe_kuo_d6_initial_number15553[] = {1, 1, 7, 15, 7, 51, 53, 181, 379, 267, 985, 3401, 2189, 10197, 14183, 413, 76797, 24751, 0};
static int joe_kuo_d6_initial_number15554[] = {1, 1, 5, 7, 13, 27, 65, 119, 235, 131, 1921, 3411, 1511, 11221, 30315, 11799, 127563, 203533, 0};
static int joe_kuo_d6_initial_number15555[] = {1, 3, 1, 3, 13, 55, 101, 189, 483, 261, 467, 645, 417, 6203, 9221, 19671, 102331, 259335, 0};
static int joe_kuo_d6_initial_number15556[] = {1, 1, 5, 15, 19, 7, 81, 1, 371, 119, 1433, 1211, 303, 14393, 27107, 45295, 109211, 224661, 0};
static int joe_kuo_d6_initial_number15557[] = {1, 3, 7, 9, 19, 53, 31, 55, 103, 351, 1511, 377, 981, 6709, 19553, 53579, 55043, 170489, 0};
static int joe_kuo_d6_initial_number15558[] = {1, 3, 3, 15, 31, 49, 1, 251, 187, 73, 119, 3041, 5455, 5355, 22245, 7735, 14661, 258447, 0};
static int joe_kuo_d6_initial_number15559[] = {1, 3, 7, 11, 13, 1, 61, 97, 179, 975, 1653, 3301, 4303, 2271, 30171, 63287, 51271, 21909, 0};
static int joe_kuo_d6_initial_number15560[] = {1, 1, 5, 11, 21, 45, 101, 131, 121, 881, 1205, 1849, 4337, 5687, 31967, 22559, 98017, 202557, 0};
static int joe_kuo_d6_initial_number15561[] = {1, 3, 3, 7, 1, 49, 11, 35, 141, 309, 651, 3319, 4313, 3675, 27699, 49429, 109805, 167089, 0};
static int joe_kuo_d6_initial_number15562[] = {1, 1, 3, 13, 13, 15, 61, 251, 335, 365, 677, 2183, 6291, 8857, 15231, 551, 63149, 76729, 0};
static int joe_kuo_d6_initial_number15563[] = {1, 3, 3, 13, 1, 59, 85, 127, 409, 1007, 1947, 3495, 6227, 11447, 14329, 3769, 109619, 59063, 0};
static int joe_kuo_d6_initial_number15564[] = {1, 3, 5, 11, 11, 59, 67, 209, 491, 757, 1137, 1977, 3155, 9339, 11219, 20303, 66417, 187911, 0};
static int joe_kuo_d6_initial_number15565[] = {1, 1, 5, 9, 27, 51, 87, 249, 327, 867, 29, 3811, 4769, 12353, 24803, 35747, 84101, 210975, 0};
static int joe_kuo_d6_initial_number15566[] = {1, 3, 7, 7, 23, 37, 23, 55, 237, 543, 779, 1305, 1535, 13333, 1403, 10903, 113135, 195799, 0};
static int joe_kuo_d6_initial_number15567[] = {1, 1, 3, 11, 1, 1, 3, 153, 401, 35, 981, 79, 4227, 9203, 8179, 29325, 104809, 140613, 0};
static int joe_kuo_d6_initial_number15568[] = {1, 3, 5, 9, 13, 39, 101, 181, 507, 307, 1411, 1443, 6855, 8747, 22709, 37869, 102303, 577, 0};
static int joe_kuo_d6_initial_number15569[] = {1, 3, 5, 1, 25, 41, 3, 239, 195, 1, 1277, 2085, 4253, 14683, 24171, 56733, 82795, 213291, 0};
static int joe_kuo_d6_initial_number15570[] = {1, 1, 3, 5, 25, 55, 31, 55, 215, 149, 1813, 3775, 779, 6137, 10561, 41671, 96883, 177435, 0};
static int joe_kuo_d6_initial_number15571[] = {1, 1, 5, 11, 15, 5, 1, 237, 131, 13, 229, 3203, 2431, 1829, 31983, 59535, 31381, 175455, 0};
static int joe_kuo_d6_initial_number15572[] = {1, 3, 3, 7, 5, 19, 61, 253, 223, 609, 1395, 2495, 5501, 6571, 12989, 889, 49435, 200251, 0};
static int joe_kuo_d6_initial_number15573[] = {1, 1, 7, 13, 25, 49, 33, 157, 457, 259, 1935, 2249, 7419, 12685, 30509, 32187, 108839, 178963, 0};
static int joe_kuo_d6_initial_number15574[] = {1, 3, 3, 15, 19, 27, 91, 133, 369, 931, 359, 759, 2647, 13643, 14877, 14031, 115367, 201745, 0};
static int joe_kuo_d6_initial_number15575[] = {1, 1, 5, 3, 9, 23, 87, 27, 203, 995, 1759, 999, 949, 2733, 29053, 46581, 129003, 42585, 0};
static int joe_kuo_d6_initial_number15576[] = {1, 1, 3, 1, 1, 21, 63, 243, 257, 741, 681, 2471, 2455, 15145, 31739, 8751, 15963, 165405, 0};
static int joe_kuo_d6_initial_number15577[] = {1, 3, 3, 1, 25, 21, 69, 213, 219, 9, 199, 487, 4103, 141, 18177, 58797, 60415, 6313, 0};
static int joe_kuo_d6_initial_number15578[] = {1, 3, 1, 5, 23, 43, 61, 121, 123, 89, 283, 1313, 2707, 10199, 7699, 17437, 130995, 140327, 0};
static int joe_kuo_d6_initial_number15579[] = {1, 3, 5, 13, 31, 41, 111, 39, 403, 5, 1125, 2867, 3143, 7051, 9891, 43349, 20751, 88465, 0};
static int joe_kuo_d6_initial_number15580[] = {1, 1, 3, 1, 19, 53, 83, 207, 285, 789, 1515, 3455, 4057, 15777, 27879, 46971, 122661, 143407, 0};
static int joe_kuo_d6_initial_number15581[] = {1, 3, 3, 11, 25, 21, 127, 191, 313, 357, 1625, 1323, 1151, 12509, 22275, 23517, 12221, 258709, 0};
static int joe_kuo_d6_initial_number15582[] = {1, 1, 5, 7, 1, 47, 1, 107, 387, 965, 1319, 2911, 2121, 8595, 9, 21587, 81187, 2803, 0};
static int joe_kuo_d6_initial_number15583[] = {1, 3, 3, 5, 19, 55, 37, 213, 23, 767, 1493, 635, 4289, 2503, 16835, 47851, 77335, 60565, 0};
static int joe_kuo_d6_initial_number15584[] = {1, 1, 1, 7, 23, 9, 101, 145, 457, 691, 1895, 2145, 7527, 7687, 20781, 10957, 24859, 79137, 0};
static int joe_kuo_d6_initial_number15585[] = {1, 3, 7, 15, 9, 9, 15, 195, 493, 859, 687, 1445, 429, 8599, 24591, 40709, 118361, 148163, 0};
static int joe_kuo_d6_initial_number15586[] = {1, 1, 1, 3, 7, 51, 45, 143, 339, 475, 1177, 2829, 785, 10141, 4923, 29135, 22603, 119973, 0};
static int joe_kuo_d6_initial_number15587[] = {1, 3, 5, 15, 25, 37, 1, 13, 351, 127, 143, 2637, 1215, 14577, 12465, 10575, 67997, 21877, 0};
static int joe_kuo_d6_initial_number15588[] = {1, 3, 7, 3, 27, 19, 59, 241, 327, 307, 731, 3471, 6123, 13607, 8793, 14825, 110681, 83259, 0};
static int joe_kuo_d6_initial_number15589[] = {1, 1, 1, 11, 25, 5, 59, 85, 335, 189, 499, 1305, 5801, 7259, 2397, 14045, 55585, 258579, 0};
static int joe_kuo_d6_initial_number15590[] = {1, 1, 3, 5, 21, 49, 49, 63, 261, 657, 1453, 55, 1325, 15513, 14891, 60689, 15381, 252641, 0};
static int joe_kuo_d6_initial_number15591[] = {1, 1, 7, 15, 25, 3, 85, 33, 495, 867, 903, 1813, 2871, 365, 17399, 45695, 102851, 225873, 0};
static int joe_kuo_d6_initial_number15592[] = {1, 1, 1, 13, 13, 63, 29, 35, 325, 893, 1313, 133, 8169, 7791, 9271, 36759, 92275, 169717, 0};
static int joe_kuo_d6_initial_number15593[] = {1, 1, 7, 3, 21, 45, 7, 151, 387, 891, 1921, 1701, 307, 5323, 16321, 51229, 79369, 21513, 0};
static int joe_kuo_d6_initial_number15594[] = {1, 1, 1, 11, 7, 27, 17, 75, 161, 649, 337, 1731, 2905, 4589, 17387, 10455, 70673, 228373, 0};
static int joe_kuo_d6_initial_number15595[] = {1, 1, 3, 15, 17, 35, 45, 131, 469, 629, 1771, 1965, 5065, 6249, 29041, 52791, 55619, 154531, 0};
static int joe_kuo_d6_initial_number15596[] = {1, 1, 7, 3, 25, 53, 85, 233, 161, 163, 1155, 3159, 1551, 13099, 25647, 26777, 91647, 162755, 0};
static int joe_kuo_d6_initial_number15597[] = {1, 1, 3, 9, 17, 11, 39, 63, 503, 927, 1621, 3425, 4835, 7083, 16449, 47913, 127905, 165567, 0};
static int joe_kuo_d6_initial_number15598[] = {1, 1, 7, 1, 29, 9, 1, 111, 285, 1009, 1427, 3071, 205, 12269, 31337, 14501, 10923, 14277, 0};
static int joe_kuo_d6_initial_number15599[] = {1, 1, 5, 5, 1, 3, 51, 205, 477, 661, 1555, 2113, 6487, 4755, 13633, 16391, 35775, 52623, 0};
static int joe_kuo_d6_initial_number15600[] = {1, 3, 3, 3, 27, 23, 109, 49, 71, 19, 733, 1361, 4369, 14527, 20443, 10507, 120183, 246115, 0};
static int joe_kuo_d6_initial_number15601[] = {1, 3, 3, 5, 7, 47, 51, 197, 97, 471, 1631, 3317, 5857, 9405, 30359, 7741, 45079, 175929, 0};
static int joe_kuo_d6_initial_number15602[] = {1, 1, 3, 3, 13, 63, 39, 173, 511, 525, 1687, 1735, 6877, 7383, 27971, 26503, 6189, 232251, 0};
static int joe_kuo_d6_initial_number15603[] = {1, 1, 5, 3, 5, 31, 101, 99, 51, 987, 1627, 3899, 6321, 9441, 4983, 64001, 30923, 199495, 0};
static int joe_kuo_d6_initial_number15604[] = {1, 3, 1, 1, 11, 39, 119, 123, 33, 1017, 1477, 283, 4939, 453, 16445, 25599, 106857, 257811, 0};
static int joe_kuo_d6_initial_number15605[] = {1, 3, 1, 11, 13, 1, 3, 101, 275, 75, 1795, 1449, 2503, 11765, 19299, 14237, 157, 244825, 0};
static int joe_kuo_d6_initial_number15606[] = {1, 3, 7, 15, 23, 1, 85, 65, 55, 103, 1523, 1443, 1021, 5733, 3297, 10889, 22487, 82503, 0};
static int joe_kuo_d6_initial_number15607[] = {1, 1, 7, 3, 17, 59, 109, 113, 17, 173, 1709, 273, 5327, 3243, 10751, 58361, 42303, 78391, 0};
static int joe_kuo_d6_initial_number15608[] = {1, 1, 5, 15, 25, 11, 101, 133, 193, 131, 1671, 3045, 7111, 14331, 15665, 56407, 31561, 154555, 0};
static int joe_kuo_d6_initial_number15609[] = {1, 3, 3, 5, 15, 41, 105, 65, 81, 293, 389, 2653, 1883, 14741, 23553, 33349, 39665, 154233, 0};
static int joe_kuo_d6_initial_number15610[] = {1, 1, 5, 15, 31, 19, 121, 41, 261, 511, 1679, 957, 1647, 12647, 12285, 30291, 122483, 187911, 0};
static int joe_kuo_d6_initial_number15611[] = {1, 3, 1, 5, 27, 25, 17, 45, 303, 947, 1123, 2729, 281, 12389, 27987, 42667, 16089, 17129, 0};
static int joe_kuo_d6_initial_number15612[] = {1, 3, 7, 15, 13, 17, 25, 223, 125, 837, 159, 253, 2599, 11381, 639, 32545, 50633, 139025, 0};
static int joe_kuo_d6_initial_number15613[] = {1, 3, 1, 13, 23, 43, 25, 83, 507, 47, 99, 697, 4453, 2139, 17151, 50709, 37099, 212957, 0};
static int joe_kuo_d6_initial_number15614[] = {1, 1, 7, 7, 29, 7, 63, 141, 475, 853, 1073, 143, 6979, 5663, 29691, 59489, 89689, 223047, 0};
static int joe_kuo_d6_initial_number15615[] = {1, 1, 1, 1, 13, 27, 101, 61, 27, 735, 207, 2065, 5811, 5461, 21493, 15481, 103727, 80017, 0};
static int joe_kuo_d6_initial_number15616[] = {1, 3, 1, 11, 9, 9, 35, 251, 147, 841, 1891, 1909, 5053, 5103, 11751, 16209, 110475, 114875, 0};
static int joe_kuo_d6_initial_number15617[] = {1, 3, 3, 11, 13, 55, 117, 205, 71, 159, 1797, 989, 2221, 16087, 18287, 8355, 96403, 146613, 0};
static int joe_kuo_d6_initial_number15618[] = {1, 1, 5, 5, 29, 25, 73, 63, 299, 839, 1225, 3583, 5641, 1341, 29431, 7035, 99107, 13493, 0};
static int joe_kuo_d6_initial_number15619[] = {1, 1, 3, 5, 27, 53, 9, 51, 79, 701, 667, 1469, 4455, 13761, 18607, 39429, 7687, 201115, 0};
static int joe_kuo_d6_initial_number15620[] = {1, 3, 7, 11, 23, 35, 101, 129, 491, 369, 565, 2557, 2529, 1003, 16003, 33873, 52155, 861, 0};
static int joe_kuo_d6_initial_number15621[] = {1, 1, 1, 15, 27, 63, 1, 55, 331, 853, 899, 1027, 7389, 8935, 12559, 27315, 101753, 255331, 0};
static int joe_kuo_d6_initial_number15622[] = {1, 3, 3, 15, 5, 41, 93, 39, 473, 887, 1667, 847, 7619, 8407, 6539, 31989, 63807, 21861, 0};
static int joe_kuo_d6_initial_number15623[] = {1, 1, 5, 11, 27, 57, 73, 249, 331, 653, 21, 2937, 4403, 16195, 18785, 30375, 22939, 235291, 0};
static int joe_kuo_d6_initial_number15624[] = {1, 1, 7, 1, 7, 41, 59, 161, 295, 503, 595, 3021, 455, 3991, 8617, 65361, 107239, 83205, 0};
static int joe_kuo_d6_initial_number15625[] = {1, 3, 3, 15, 17, 41, 61, 229, 273, 687, 657, 1969, 2817, 2367, 29183, 41199, 24123, 184081, 0};
static int joe_kuo_d6_initial_number15626[] = {1, 3, 7, 5, 25, 63, 43, 65, 443, 423, 549, 2031, 3353, 7041, 6563, 18819, 46047, 239823, 0};
static int joe_kuo_d6_initial_number15627[] = {1, 3, 3, 3, 3, 17, 13, 115, 377, 623, 1959, 127, 5125, 13209, 24731, 23151, 21303, 7213, 0};
static int joe_kuo_d6_initial_number15628[] = {1, 1, 7, 1, 21, 11, 21, 41, 491, 37, 1759, 2771, 1301, 12995, 17621, 30907, 75511, 82321, 0};
static int joe_kuo_d6_initial_number15629[] = {1, 3, 3, 13, 13, 23, 77, 211, 215, 711, 427, 2213, 8041, 1595, 26105, 39051, 105407, 242141, 0};
static int joe_kuo_d6_initial_number15630[] = {1, 3, 3, 9, 13, 35, 117, 207, 75, 395, 723, 3321, 6643, 2429, 10043, 10585, 3529, 64067, 0};
static int joe_kuo_d6_initial_number15631[] = {1, 1, 1, 7, 3, 1, 83, 93, 311, 157, 891, 1717, 7669, 16067, 11775, 27693, 11757, 94471, 0};
static int joe_kuo_d6_initial_number15632[] = {1, 3, 3, 5, 17, 63, 23, 177, 289, 921, 315, 3083, 5903, 8697, 22425, 37845, 31171, 49237, 0};
static int joe_kuo_d6_initial_number15633[] = {1, 1, 7, 9, 21, 63, 29, 227, 427, 271, 525, 2071, 7103, 8389, 29185, 51601, 110737, 16949, 0};
static int joe_kuo_d6_initial_number15634[] = {1, 3, 3, 3, 3, 49, 25, 173, 79, 343, 509, 1939, 6389, 15501, 20135, 54365, 69931, 135269, 0};
static int joe_kuo_d6_initial_number15635[] = {1, 1, 3, 3, 21, 23, 41, 71, 169, 947, 1027, 2345, 3397, 12181, 15409, 31725, 41223, 58837, 0};
static int joe_kuo_d6_initial_number15636[] = {1, 3, 7, 1, 19, 23, 57, 201, 27, 449, 1479, 921, 4703, 10949, 14369, 27929, 45399, 46055, 0};
static int joe_kuo_d6_initial_number15637[] = {1, 1, 3, 9, 13, 17, 125, 17, 393, 295, 497, 3089, 6589, 4003, 8687, 48145, 2683, 175521, 0};
static int joe_kuo_d6_initial_number15638[] = {1, 3, 3, 15, 15, 13, 3, 31, 51, 101, 973, 101, 3709, 13437, 51, 14293, 21561, 136497, 0};
static int joe_kuo_d6_initial_number15639[] = {1, 1, 5, 11, 17, 27, 51, 45, 77, 539, 225, 2029, 533, 153, 26085, 33611, 28153, 75671, 0};
static int joe_kuo_d6_initial_number15640[] = {1, 1, 1, 15, 3, 59, 59, 123, 475, 225, 1613, 3121, 2865, 4647, 14553, 35449, 121657, 37457, 0};
static int joe_kuo_d6_initial_number15641[] = {1, 1, 5, 1, 27, 33, 121, 225, 57, 619, 1293, 3813, 2121, 3525, 21995, 47253, 33095, 257451, 0};
static int joe_kuo_d6_initial_number15642[] = {1, 3, 1, 11, 11, 43, 115, 233, 335, 185, 989, 3567, 4135, 2357, 20559, 43325, 43015, 51695, 0};
static int joe_kuo_d6_initial_number15643[] = {1, 1, 5, 9, 11, 49, 45, 187, 93, 967, 1609, 2511, 1549, 4045, 21309, 16341, 13495, 214827, 0};
static int joe_kuo_d6_initial_number15644[] = {1, 1, 1, 13, 21, 23, 81, 7, 259, 483, 1059, 773, 5297, 10123, 9857, 61187, 47355, 76307, 0};
static int joe_kuo_d6_initial_number15645[] = {1, 3, 7, 9, 29, 51, 113, 255, 223, 853, 1173, 1019, 1587, 9629, 22373, 32731, 125179, 193271, 0};
static int joe_kuo_d6_initial_number15646[] = {1, 1, 5, 11, 3, 55, 25, 145, 347, 451, 1447, 3399, 5873, 11579, 11107, 64707, 10161, 142003, 0};
static int joe_kuo_d6_initial_number15647[] = {1, 1, 1, 7, 15, 49, 109, 93, 267, 919, 177, 2247, 8129, 8039, 15629, 63767, 98153, 143255, 0};
static int joe_kuo_d6_initial_number15648[] = {1, 1, 5, 3, 3, 27, 47, 151, 231, 35, 155, 2745, 7349, 6543, 14117, 19549, 54927, 10819, 0};
static int joe_kuo_d6_initial_number15649[] = {1, 3, 7, 15, 31, 29, 17, 203, 249, 169, 1071, 3069, 6269, 3455, 27177, 33761, 111003, 4527, 0};
static int joe_kuo_d6_initial_number15650[] = {1, 3, 1, 5, 31, 15, 65, 189, 3, 917, 857, 1221, 3553, 2883, 3631, 32971, 68057, 109081, 0};
static int joe_kuo_d6_initial_number15651[] = {1, 3, 1, 9, 3, 55, 127, 57, 125, 463, 199, 317, 3373, 967, 5569, 55997, 17167, 33585, 0};
static int joe_kuo_d6_initial_number15652[] = {1, 3, 5, 1, 9, 57, 15, 89, 335, 119, 1445, 1931, 4177, 2495, 27507, 8209, 60003, 29657, 0};
static int joe_kuo_d6_initial_number15653[] = {1, 3, 5, 7, 15, 43, 83, 117, 283, 131, 653, 57, 6789, 7633, 30525, 64131, 101981, 122017, 0};
static int joe_kuo_d6_initial_number15654[] = {1, 3, 7, 11, 3, 17, 115, 217, 391, 825, 1633, 885, 7787, 5595, 12235, 30233, 53587, 62985, 0};
static int joe_kuo_d6_initial_number15655[] = {1, 1, 5, 3, 5, 13, 99, 1, 75, 329, 1247, 107, 2337, 4201, 6217, 12273, 41585, 46563, 0};
static int joe_kuo_d6_initial_number15656[] = {1, 3, 1, 15, 25, 53, 33, 125, 311, 955, 161, 3631, 581, 11915, 4223, 63207, 16517, 201665, 0};
static int joe_kuo_d6_initial_number15657[] = {1, 1, 5, 1, 27, 23, 93, 211, 483, 691, 949, 1825, 391, 12111, 13639, 61009, 88503, 104823, 0};
static int joe_kuo_d6_initial_number15658[] = {1, 3, 1, 13, 3, 9, 51, 133, 259, 977, 697, 661, 7661, 3987, 8327, 50155, 112235, 236135, 0};
static int joe_kuo_d6_initial_number15659[] = {1, 1, 3, 13, 7, 39, 121, 37, 151, 973, 1275, 2699, 3345, 7167, 19245, 55535, 12305, 33567, 0};
static int joe_kuo_d6_initial_number15660[] = {1, 1, 1, 1, 27, 5, 91, 63, 409, 579, 459, 2335, 4721, 3305, 11293, 15405, 74513, 157863, 0};
static int joe_kuo_d6_initial_number15661[] = {1, 1, 5, 1, 21, 45, 55, 111, 475, 381, 659, 1131, 3575, 5165, 27221, 46757, 53587, 90741, 0};
static int joe_kuo_d6_initial_number15662[] = {1, 1, 5, 15, 11, 31, 121, 209, 69, 389, 779, 2833, 4519, 1801, 4363, 24723, 105849, 54475, 0};
static int joe_kuo_d6_initial_number15663[] = {1, 1, 3, 9, 7, 19, 11, 75, 275, 77, 1997, 1661, 6139, 13165, 30653, 49469, 67053, 3811, 0};
static int joe_kuo_d6_initial_number15664[] = {1, 1, 3, 9, 5, 11, 5, 151, 395, 715, 1381, 3011, 5939, 1805, 8063, 62877, 99749, 112951, 0};
static int joe_kuo_d6_initial_number15665[] = {1, 1, 5, 13, 19, 15, 113, 47, 455, 173, 1897, 701, 6093, 2089, 3977, 20599, 60947, 23671, 0};
static int joe_kuo_d6_initial_number15666[] = {1, 1, 1, 13, 23, 19, 13, 117, 275, 313, 1683, 2975, 179, 3949, 4361, 60211, 91999, 211219, 0};
static int joe_kuo_d6_initial_number15667[] = {1, 3, 5, 15, 13, 53, 83, 161, 491, 1001, 1773, 1227, 1965, 14479, 17677, 24399, 86431, 203303, 0};
static int joe_kuo_d6_initial_number15668[] = {1, 1, 7, 15, 5, 51, 103, 131, 351, 747, 1227, 2859, 6693, 10615, 29485, 6619, 106239, 148739, 0};
static int joe_kuo_d6_initial_number15669[] = {1, 3, 5, 1, 9, 43, 91, 173, 223, 393, 1181, 3785, 6589, 1299, 10217, 20891, 64125, 63409, 0};
static int joe_kuo_d6_initial_number15670[] = {1, 1, 5, 7, 11, 23, 45, 57, 397, 771, 511, 1849, 343, 14139, 26271, 56241, 52581, 163187, 0};
static int joe_kuo_d6_initial_number15671[] = {1, 3, 7, 5, 15, 59, 89, 151, 255, 247, 291, 219, 995, 10821, 1445, 35581, 88767, 16871, 0};
static int joe_kuo_d6_initial_number15672[] = {1, 1, 7, 11, 7, 25, 3, 175, 253, 193, 1641, 1669, 7095, 11871, 10801, 42567, 120663, 109347, 0};
static int joe_kuo_d6_initial_number15673[] = {1, 3, 5, 7, 31, 41, 119, 39, 149, 653, 153, 2783, 1377, 5223, 17915, 3127, 41869, 193477, 0};
static int joe_kuo_d6_initial_number15674[] = {1, 3, 3, 13, 23, 19, 47, 85, 487, 103, 237, 2363, 4451, 5077, 23749, 17011, 73561, 169165, 0};
static int joe_kuo_d6_initial_number15675[] = {1, 1, 3, 9, 21, 25, 77, 235, 53, 681, 1463, 2093, 1525, 12797, 5469, 54277, 15587, 68395, 0};
static int joe_kuo_d6_initial_number15676[] = {1, 1, 1, 15, 23, 63, 63, 225, 239, 143, 1073, 199, 3231, 1371, 11215, 5999, 100705, 174681, 0};
static int joe_kuo_d6_initial_number15677[] = {1, 1, 1, 3, 17, 25, 69, 179, 445, 695, 281, 379, 8115, 9443, 13221, 50669, 37369, 62151, 0};
static int joe_kuo_d6_initial_number15678[] = {1, 3, 3, 9, 11, 29, 21, 89, 441, 353, 401, 1139, 5003, 8087, 24457, 50237, 110993, 117233, 0};
static int joe_kuo_d6_initial_number15679[] = {1, 3, 3, 1, 13, 45, 31, 249, 295, 149, 591, 2071, 3611, 931, 16261, 8239, 82767, 195665, 0};
static int joe_kuo_d6_initial_number15680[] = {1, 3, 3, 9, 19, 47, 69, 177, 493, 231, 431, 1359, 6867, 7641, 15661, 25285, 65477, 212643, 0};
static int joe_kuo_d6_initial_number15681[] = {1, 3, 3, 13, 19, 63, 83, 153, 367, 407, 547, 661, 7743, 5473, 2993, 62937, 33811, 101313, 0};
static int joe_kuo_d6_initial_number15682[] = {1, 3, 5, 3, 29, 17, 19, 203, 79, 279, 1333, 1851, 51, 9793, 12955, 17383, 73437, 121743, 0};
static int joe_kuo_d6_initial_number15683[] = {1, 1, 1, 11, 11, 43, 31, 187, 463, 827, 1511, 225, 845, 8963, 1553, 61269, 122033, 245633, 0};
static int joe_kuo_d6_initial_number15684[] = {1, 1, 3, 3, 31, 23, 9, 241, 377, 317, 655, 2197, 2461, 13239, 15649, 7879, 55085, 129855, 0};
static int joe_kuo_d6_initial_number15685[] = {1, 3, 5, 7, 9, 37, 1, 191, 185, 145, 1567, 3423, 1127, 1991, 10741, 38407, 22915, 222845, 0};
static int joe_kuo_d6_initial_number15686[] = {1, 1, 5, 3, 27, 31, 11, 227, 307, 973, 745, 1079, 7479, 10065, 31389, 19195, 114775, 246615, 0};
static int joe_kuo_d6_initial_number15687[] = {1, 3, 1, 11, 29, 27, 11, 83, 205, 399, 1489, 739, 715, 7955, 16473, 21127, 62379, 260399, 0};
static int joe_kuo_d6_initial_number15688[] = {1, 3, 3, 3, 25, 25, 123, 163, 399, 841, 963, 2089, 4949, 13085, 19831, 15345, 60377, 164235, 0};
static int joe_kuo_d6_initial_number15689[] = {1, 1, 1, 9, 3, 21, 101, 105, 397, 23, 1505, 3201, 547, 295, 23247, 18823, 115243, 151073, 0};
static int joe_kuo_d6_initial_number15690[] = {1, 3, 7, 1, 31, 27, 111, 23, 205, 709, 1625, 3921, 6225, 11039, 29549, 51239, 119003, 133663, 0};
static int joe_kuo_d6_initial_number15691[] = {1, 3, 3, 11, 21, 49, 111, 195, 25, 833, 1991, 563, 7031, 15429, 5707, 12351, 32221, 16599, 0};
static int joe_kuo_d6_initial_number15692[] = {1, 1, 5, 7, 5, 7, 39, 171, 39, 921, 385, 2343, 625, 15355, 4923, 36597, 56901, 148377, 0};
static int joe_kuo_d6_initial_number15693[] = {1, 1, 3, 15, 7, 43, 89, 217, 67, 271, 853, 147, 6767, 3183, 341, 40769, 116767, 22351, 0};
static int joe_kuo_d6_initial_number15694[] = {1, 3, 5, 7, 7, 3, 105, 27, 183, 59, 953, 4027, 1277, 10323, 29437, 56085, 32677, 198067, 0};
static int joe_kuo_d6_initial_number15695[] = {1, 1, 1, 15, 23, 29, 51, 209, 13, 177, 1103, 1723, 2877, 9199, 25601, 15537, 8599, 230819, 0};
static int joe_kuo_d6_initial_number15696[] = {1, 1, 7, 1, 29, 39, 41, 217, 467, 423, 431, 2707, 2017, 11865, 11989, 12045, 71349, 6311, 0};
static int joe_kuo_d6_initial_number15697[] = {1, 1, 1, 13, 15, 25, 3, 55, 403, 833, 1843, 1159, 1703, 2221, 15379, 65027, 18327, 108881, 0};
static int joe_kuo_d6_initial_number15698[] = {1, 3, 7, 13, 3, 27, 13, 227, 215, 873, 1073, 1117, 7941, 13607, 7571, 6957, 44991, 239761, 0};
static int joe_kuo_d6_initial_number15699[] = {1, 3, 7, 11, 23, 1, 95, 235, 283, 977, 1443, 161, 5937, 4351, 30835, 35569, 57509, 1835, 0};
static int joe_kuo_d6_initial_number15700[] = {1, 3, 3, 13, 11, 1, 85, 75, 261, 543, 9, 899, 5821, 5465, 9771, 53707, 101003, 219215, 0};
static int joe_kuo_d6_initial_number15701[] = {1, 3, 1, 7, 21, 49, 35, 19, 35, 759, 1467, 1423, 6355, 8415, 563, 24157, 121029, 87309, 0};
static int joe_kuo_d6_initial_number15702[] = {1, 1, 7, 1, 9, 13, 65, 85, 209, 583, 387, 1743, 2665, 12021, 7525, 27665, 45885, 135039, 0};
static int joe_kuo_d6_initial_number15703[] = {1, 1, 7, 11, 29, 41, 91, 17, 291, 211, 1801, 493, 899, 14491, 1741, 28971, 35205, 131417, 0};
static int joe_kuo_d6_initial_number15704[] = {1, 1, 5, 13, 23, 55, 119, 165, 61, 653, 1375, 3575, 5081, 7767, 19963, 61583, 107149, 240639, 0};
static int joe_kuo_d6_initial_number15705[] = {1, 3, 5, 15, 25, 3, 51, 27, 127, 259, 55, 2221, 3951, 6243, 15825, 42881, 37009, 254401, 0};
static int joe_kuo_d6_initial_number15706[] = {1, 3, 5, 11, 25, 63, 13, 105, 111, 677, 1545, 2399, 4419, 10853, 7213, 17183, 103411, 67459, 0};
static int joe_kuo_d6_initial_number15707[] = {1, 1, 1, 11, 11, 31, 73, 125, 155, 545, 1857, 2749, 6389, 4083, 16239, 23651, 68881, 43455, 0};
static int joe_kuo_d6_initial_number15708[] = {1, 3, 7, 7, 21, 3, 117, 237, 431, 17, 687, 2613, 7483, 3253, 30511, 53833, 33077, 157055, 0};
static int joe_kuo_d6_initial_number15709[] = {1, 1, 1, 1, 1, 57, 65, 97, 415, 477, 1003, 1415, 1493, 12993, 30965, 24809, 1467, 213021, 0};
static int joe_kuo_d6_initial_number15710[] = {1, 1, 3, 7, 25, 33, 45, 25, 511, 733, 1077, 2483, 5899, 14295, 11631, 50609, 128989, 45177, 0};
static int joe_kuo_d6_initial_number15711[] = {1, 1, 3, 3, 25, 17, 115, 31, 115, 191, 293, 3991, 3039, 6751, 16217, 16517, 21121, 193641, 0};
static int joe_kuo_d6_initial_number15712[] = {1, 3, 3, 13, 25, 23, 7, 51, 363, 641, 333, 2533, 605, 1105, 12941, 4195, 129571, 13253, 0};
static int joe_kuo_d6_initial_number15713[] = {1, 3, 1, 11, 17, 21, 7, 205, 293, 159, 9, 441, 3287, 10247, 2115, 54099, 128109, 8137, 0};
static int joe_kuo_d6_initial_number15714[] = {1, 1, 7, 5, 21, 17, 43, 87, 117, 737, 149, 3175, 343, 8509, 12147, 22041, 80037, 23277, 0};
static int joe_kuo_d6_initial_number15715[] = {1, 3, 3, 1, 3, 7, 101, 245, 11, 1003, 175, 2323, 7807, 15611, 5161, 10277, 37009, 83231, 0};
static int joe_kuo_d6_initial_number15716[] = {1, 3, 1, 5, 13, 17, 113, 75, 315, 237, 77, 587, 5409, 2053, 22551, 15205, 82545, 18531, 0};
static int joe_kuo_d6_initial_number15717[] = {1, 3, 5, 11, 9, 57, 61, 117, 281, 111, 369, 2411, 1691, 3391, 5379, 8237, 87329, 4253, 0};
static int joe_kuo_d6_initial_number15718[] = {1, 3, 3, 3, 19, 25, 101, 1, 495, 25, 1317, 2333, 6183, 12215, 27879, 56403, 37169, 71635, 0};
static int joe_kuo_d6_initial_number15719[] = {1, 1, 3, 5, 17, 63, 49, 127, 171, 405, 1763, 3697, 405, 2233, 4137, 28787, 108319, 53133, 0};
static int joe_kuo_d6_initial_number15720[] = {1, 1, 5, 7, 23, 43, 87, 189, 97, 239, 1459, 2115, 7517, 7799, 28957, 37105, 71835, 199195, 0};
static int joe_kuo_d6_initial_number15721[] = {1, 3, 1, 3, 25, 25, 23, 61, 369, 717, 1711, 1103, 7535, 9871, 25, 26849, 55955, 113389, 0};
static int joe_kuo_d6_initial_number15722[] = {1, 1, 1, 11, 25, 57, 33, 175, 127, 541, 1031, 2847, 2069, 4033, 25593, 10615, 50097, 122955, 0};
static int joe_kuo_d6_initial_number15723[] = {1, 3, 3, 13, 11, 27, 97, 171, 245, 33, 213, 4069, 753, 3535, 11727, 34941, 100543, 220789, 0};
static int joe_kuo_d6_initial_number15724[] = {1, 3, 3, 9, 3, 17, 13, 237, 477, 507, 1751, 3191, 3385, 13977, 23355, 57355, 64341, 37683, 0};
static int joe_kuo_d6_initial_number15725[] = {1, 1, 7, 13, 13, 43, 7, 153, 209, 7, 63, 585, 1715, 13313, 25355, 46759, 71893, 29755, 0};
static int joe_kuo_d6_initial_number15726[] = {1, 3, 3, 3, 11, 23, 11, 147, 135, 1011, 1105, 3931, 3861, 13589, 32183, 30727, 37685, 67123, 0};
static int joe_kuo_d6_initial_number15727[] = {1, 3, 7, 1, 11, 13, 25, 229, 147, 843, 329, 3337, 7559, 13193, 3011, 31549, 102461, 46195, 0};
static int joe_kuo_d6_initial_number15728[] = {1, 1, 5, 11, 5, 47, 127, 89, 53, 663, 261, 541, 7743, 13037, 9013, 23079, 81225, 239875, 0};
static int joe_kuo_d6_initial_number15729[] = {1, 1, 7, 3, 5, 39, 15, 177, 357, 357, 1959, 1721, 6703, 11829, 1195, 42113, 88699, 244347, 0};
static int joe_kuo_d6_initial_number15730[] = {1, 1, 5, 15, 25, 19, 7, 3, 225, 773, 1535, 99, 6555, 4105, 19137, 56155, 109141, 161015, 0};
static int joe_kuo_d6_initial_number15731[] = {1, 1, 5, 15, 5, 59, 41, 53, 203, 459, 1063, 3015, 5397, 1559, 20835, 57773, 67687, 206189, 0};
static int joe_kuo_d6_initial_number15732[] = {1, 3, 1, 11, 17, 25, 61, 221, 37, 809, 1461, 1961, 7697, 1777, 23179, 54761, 7787, 177737, 0};
static int joe_kuo_d6_initial_number15733[] = {1, 3, 7, 15, 27, 21, 49, 107, 353, 677, 461, 239, 5871, 1059, 3011, 32397, 13149, 103973, 0};
static int joe_kuo_d6_initial_number15734[] = {1, 1, 5, 3, 11, 53, 61, 239, 479, 913, 479, 3435, 4979, 7931, 16841, 60077, 26667, 212601, 0};
static int joe_kuo_d6_initial_number15735[] = {1, 1, 3, 5, 3, 19, 43, 143, 353, 507, 871, 2547, 7321, 6163, 9425, 62911, 86153, 239011, 0};
static int joe_kuo_d6_initial_number15736[] = {1, 1, 1, 3, 15, 7, 115, 43, 69, 299, 1235, 1511, 3111, 7465, 769, 46981, 127707, 195839, 0};
static int joe_kuo_d6_initial_number15737[] = {1, 1, 1, 5, 23, 27, 19, 21, 273, 291, 953, 3577, 3147, 3863, 18625, 53505, 33699, 123305, 0};
static int joe_kuo_d6_initial_number15738[] = {1, 3, 5, 9, 3, 11, 89, 27, 447, 119, 493, 2605, 8175, 8837, 27555, 2319, 99101, 79121, 0};
static int joe_kuo_d6_initial_number15739[] = {1, 1, 7, 11, 1, 11, 77, 129, 97, 261, 1241, 3117, 1627, 5397, 6495, 52339, 52711, 206237, 0};
static int joe_kuo_d6_initial_number15740[] = {1, 3, 7, 9, 27, 57, 77, 147, 35, 845, 1417, 1615, 6097, 12559, 10765, 19027, 91693, 204339, 0};
static int joe_kuo_d6_initial_number15741[] = {1, 1, 3, 5, 25, 47, 17, 145, 7, 969, 1981, 733, 4303, 7785, 4241, 39733, 82569, 78061, 0};
static int joe_kuo_d6_initial_number15742[] = {1, 1, 5, 1, 5, 47, 45, 111, 405, 943, 1911, 1613, 3817, 10483, 17729, 7201, 88033, 261701, 0};
static int joe_kuo_d6_initial_number15743[] = {1, 3, 3, 13, 9, 3, 87, 39, 277, 769, 57, 2503, 7803, 11041, 20945, 19623, 32617, 110027, 0};
static int joe_kuo_d6_initial_number15744[] = {1, 1, 3, 3, 27, 57, 1, 103, 427, 935, 1617, 665, 837, 8001, 13543, 44771, 64033, 65239, 0};
static int joe_kuo_d6_initial_number15745[] = {1, 1, 5, 3, 13, 21, 31, 59, 225, 945, 1825, 1511, 3273, 3171, 30347, 21993, 40203, 143297, 0};
static int joe_kuo_d6_initial_number15746[] = {1, 3, 5, 7, 11, 3, 3, 217, 167, 885, 975, 3249, 7909, 13621, 18697, 61021, 31497, 198033, 0};
static int joe_kuo_d6_initial_number15747[] = {1, 3, 5, 9, 11, 5, 87, 33, 117, 471, 267, 529, 5879, 13969, 5731, 52613, 106411, 74341, 0};
static int joe_kuo_d6_initial_number15748[] = {1, 1, 7, 11, 5, 31, 25, 55, 135, 779, 717, 1953, 7929, 11011, 6133, 14099, 106975, 178337, 0};
static int joe_kuo_d6_initial_number15749[] = {1, 3, 1, 1, 29, 17, 125, 7, 445, 299, 1897, 3235, 8189, 14339, 14725, 63185, 126751, 88747, 0};
static int joe_kuo_d6_initial_number15750[] = {1, 1, 5, 3, 1, 11, 65, 161, 243, 605, 1945, 3141, 6443, 9703, 13331, 2239, 6315, 247595, 0};
static int joe_kuo_d6_initial_number15751[] = {1, 3, 1, 7, 15, 23, 83, 215, 331, 631, 453, 879, 4109, 4897, 16535, 55749, 90799, 147287, 0};
static int joe_kuo_d6_initial_number15752[] = {1, 3, 5, 13, 25, 1, 109, 205, 49, 471, 1735, 973, 1279, 9917, 18225, 44921, 98519, 211541, 0};
static int joe_kuo_d6_initial_number15753[] = {1, 1, 5, 11, 29, 41, 113, 187, 75, 479, 1633, 841, 6259, 8919, 27751, 25179, 115369, 166567, 0};
static int joe_kuo_d6_initial_number15754[] = {1, 3, 5, 11, 17, 31, 107, 41, 435, 647, 811, 2937, 5819, 3483, 3835, 57033, 53543, 61973, 0};
static int joe_kuo_d6_initial_number15755[] = {1, 3, 3, 11, 15, 45, 33, 103, 505, 67, 463, 1275, 2449, 15261, 22867, 25215, 38793, 189309, 0};
static int joe_kuo_d6_initial_number15756[] = {1, 1, 1, 5, 19, 45, 35, 173, 365, 39, 1599, 3623, 2231, 12141, 19437, 27053, 15869, 104719, 0};
static int joe_kuo_d6_initial_number15757[] = {1, 3, 7, 7, 9, 17, 87, 151, 249, 81, 1109, 1951, 7475, 1699, 17847, 64149, 50285, 242793, 0};
static int joe_kuo_d6_initial_number15758[] = {1, 3, 5, 13, 15, 51, 35, 105, 479, 763, 1945, 2349, 2987, 621, 283, 20411, 65799, 86517, 0};
static int joe_kuo_d6_initial_number15759[] = {1, 3, 3, 1, 19, 31, 49, 229, 249, 689, 737, 4027, 5405, 15211, 26785, 39143, 93163, 190421, 0};
static int joe_kuo_d6_initial_number15760[] = {1, 3, 7, 5, 1, 21, 63, 97, 347, 73, 745, 3455, 2347, 3821, 31385, 6545, 91803, 72895, 0};
static int joe_kuo_d6_initial_number15761[] = {1, 1, 1, 15, 23, 11, 107, 47, 183, 235, 1985, 3277, 933, 8491, 14423, 24293, 6783, 162199, 0};
static int joe_kuo_d6_initial_number15762[] = {1, 3, 3, 9, 17, 3, 123, 59, 277, 773, 1617, 2979, 1555, 9753, 10947, 24745, 89043, 45185, 0};
static int joe_kuo_d6_initial_number15763[] = {1, 3, 7, 3, 25, 17, 79, 43, 311, 415, 1045, 1289, 7451, 11413, 11319, 37177, 101327, 147453, 0};
static int joe_kuo_d6_initial_number15764[] = {1, 3, 7, 7, 17, 45, 49, 33, 313, 613, 1773, 773, 161, 13579, 1207, 5681, 120597, 178639, 0};
static int joe_kuo_d6_initial_number15765[] = {1, 3, 5, 5, 17, 43, 65, 243, 287, 223, 253, 687, 887, 14887, 1077, 53337, 62381, 43531, 0};
static int joe_kuo_d6_initial_number15766[] = {1, 3, 5, 1, 21, 3, 39, 149, 497, 939, 1537, 437, 5345, 10321, 25151, 48785, 49879, 90945, 0};
static int joe_kuo_d6_initial_number15767[] = {1, 1, 7, 11, 1, 61, 113, 63, 285, 615, 343, 2897, 1939, 7911, 16387, 10781, 92769, 27995, 0};
static int joe_kuo_d6_initial_number15768[] = {1, 1, 3, 3, 19, 29, 85, 227, 355, 857, 883, 1853, 5065, 13795, 5749, 59107, 57947, 35775, 0};
static int joe_kuo_d6_initial_number15769[] = {1, 3, 5, 9, 23, 37, 119, 161, 23, 511, 81, 973, 4769, 10821, 32607, 61731, 64907, 99055, 0};
static int joe_kuo_d6_initial_number15770[] = {1, 3, 1, 3, 11, 17, 109, 241, 349, 887, 1651, 3865, 2045, 15893, 4597, 11557, 53313, 48489, 0};
static int joe_kuo_d6_initial_number15771[] = {1, 1, 5, 9, 31, 43, 49, 193, 171, 477, 363, 735, 1379, 8977, 9759, 56477, 99495, 170433, 0};
static int joe_kuo_d6_initial_number15772[] = {1, 1, 3, 7, 25, 25, 77, 31, 21, 1001, 1527, 1725, 6479, 8927, 11249, 63969, 86291, 74391, 0};
static int joe_kuo_d6_initial_number15773[] = {1, 3, 5, 13, 1, 43, 27, 7, 507, 569, 251, 2199, 3895, 7845, 13641, 1655, 112949, 119493, 0};
static int joe_kuo_d6_initial_number15774[] = {1, 3, 7, 15, 7, 1, 123, 27, 121, 261, 201, 1469, 4229, 2933, 25157, 1919, 127937, 21607, 0};
static int joe_kuo_d6_initial_number15775[] = {1, 1, 3, 9, 29, 59, 47, 81, 293, 191, 401, 849, 4355, 1643, 23533, 8469, 389, 97891, 0};
static int joe_kuo_d6_initial_number15776[] = {1, 3, 5, 5, 9, 55, 37, 175, 203, 179, 901, 3473, 1489, 1009, 24623, 54895, 8711, 190271, 0};
static int joe_kuo_d6_initial_number15777[] = {1, 1, 7, 1, 13, 39, 49, 105, 385, 189, 1079, 2799, 5901, 2511, 23199, 58925, 111727, 131193, 0};
static int joe_kuo_d6_initial_number15778[] = {1, 1, 1, 7, 31, 63, 37, 181, 493, 745, 1131, 223, 8055, 9507, 26667, 22163, 26495, 200945, 0};
static int joe_kuo_d6_initial_number15779[] = {1, 3, 7, 1, 25, 15, 127, 71, 445, 935, 1439, 1167, 3751, 799, 27253, 46209, 33413, 38553, 0};
static int joe_kuo_d6_initial_number15780[] = {1, 3, 3, 11, 29, 35, 125, 77, 129, 851, 731, 3259, 4651, 4137, 20921, 19779, 119261, 141507, 0};
static int joe_kuo_d6_initial_number15781[] = {1, 3, 1, 9, 11, 13, 31, 211, 87, 377, 547, 113, 1071, 7167, 28377, 52943, 50669, 156915, 0};
static int joe_kuo_d6_initial_number15782[] = {1, 1, 3, 7, 29, 55, 89, 215, 425, 513, 175, 1145, 6995, 1929, 14253, 20563, 118543, 104403, 0};
static int joe_kuo_d6_initial_number15783[] = {1, 1, 1, 5, 23, 25, 1, 23, 175, 571, 1597, 3801, 1411, 1783, 13045, 37499, 86831, 139101, 0};
static int joe_kuo_d6_initial_number15784[] = {1, 3, 3, 13, 15, 19, 35, 139, 483, 17, 1555, 3431, 3417, 13695, 15985, 65243, 96659, 76027, 0};
static int joe_kuo_d6_initial_number15785[] = {1, 3, 7, 9, 23, 7, 17, 89, 33, 353, 1999, 2561, 331, 15661, 25757, 63389, 112913, 131757, 0};
static int joe_kuo_d6_initial_number15786[] = {1, 3, 1, 11, 27, 59, 37, 75, 121, 429, 1833, 3243, 2029, 2601, 5013, 29433, 123565, 234803, 0};
static int joe_kuo_d6_initial_number15787[] = {1, 3, 1, 7, 31, 13, 33, 25, 459, 803, 267, 1573, 5579, 4575, 8125, 7491, 72681, 239409, 0};
static int joe_kuo_d6_initial_number15788[] = {1, 1, 3, 7, 31, 43, 93, 191, 237, 75, 1809, 3257, 4131, 1983, 29153, 23205, 38393, 197859, 0};
static int joe_kuo_d6_initial_number15789[] = {1, 3, 5, 5, 17, 47, 17, 153, 499, 529, 1515, 1587, 2951, 12431, 12787, 13245, 54117, 82663, 0};
static int joe_kuo_d6_initial_number15790[] = {1, 1, 1, 13, 7, 23, 23, 7, 441, 991, 641, 2713, 151, 1863, 6065, 47381, 60493, 136325, 0};
static int joe_kuo_d6_initial_number15791[] = {1, 3, 3, 11, 11, 15, 31, 137, 285, 439, 835, 3033, 6083, 7883, 3405, 35803, 65059, 150143, 0};
static int joe_kuo_d6_initial_number15792[] = {1, 1, 7, 3, 19, 47, 61, 163, 313, 813, 1315, 2995, 2805, 14397, 6589, 62123, 46229, 206697, 0};
static int joe_kuo_d6_initial_number15793[] = {1, 3, 5, 5, 27, 51, 25, 99, 241, 571, 1411, 1191, 7095, 8639, 29195, 53733, 53219, 42851, 0};
static int joe_kuo_d6_initial_number15794[] = {1, 3, 1, 5, 11, 29, 1, 49, 61, 149, 1931, 29, 7163, 3717, 525, 42375, 71451, 8345, 0};
static int joe_kuo_d6_initial_number15795[] = {1, 3, 3, 3, 13, 19, 97, 249, 265, 509, 1347, 3081, 6535, 7941, 31565, 59897, 91909, 171789, 0};
static int joe_kuo_d6_initial_number15796[] = {1, 3, 3, 1, 25, 17, 75, 169, 251, 607, 73, 549, 1397, 10661, 1743, 9615, 41327, 243207, 0};
static int joe_kuo_d6_initial_number15797[] = {1, 3, 1, 11, 7, 7, 15, 181, 385, 883, 651, 2939, 5457, 15309, 9807, 22221, 72893, 146331, 0};
static int joe_kuo_d6_initial_number15798[] = {1, 3, 3, 5, 7, 7, 53, 75, 139, 459, 1861, 917, 4101, 10379, 18555, 12633, 70023, 254761, 0};
static int joe_kuo_d6_initial_number15799[] = {1, 3, 3, 1, 17, 51, 5, 109, 471, 3, 1555, 3731, 6711, 9791, 63, 61931, 75269, 138697, 0};
static int joe_kuo_d6_initial_number15800[] = {1, 1, 7, 15, 11, 1, 53, 141, 423, 567, 1937, 849, 5657, 7437, 32657, 16253, 115219, 106027, 0};
static int joe_kuo_d6_initial_number15801[] = {1, 3, 5, 1, 17, 29, 65, 213, 443, 541, 697, 3859, 1463, 16081, 23299, 7645, 19475, 77857, 0};
static int joe_kuo_d6_initial_number15802[] = {1, 1, 7, 3, 21, 43, 99, 101, 329, 755, 1123, 1277, 1381, 7017, 21763, 28243, 109995, 178377, 0};
static int joe_kuo_d6_initial_number15803[] = {1, 3, 5, 7, 9, 31, 103, 123, 43, 895, 1925, 3383, 3539, 13669, 873, 57361, 45281, 256517, 0};
static int joe_kuo_d6_initial_number15804[] = {1, 1, 1, 13, 1, 37, 115, 55, 415, 703, 1217, 939, 1145, 4015, 7233, 44799, 79711, 164725, 0};
static int joe_kuo_d6_initial_number15805[] = {1, 1, 7, 1, 29, 17, 101, 15, 205, 281, 1059, 301, 753, 11953, 10533, 31881, 67741, 12683, 0};
static int joe_kuo_d6_initial_number15806[] = {1, 1, 7, 13, 9, 23, 31, 237, 181, 813, 1765, 2237, 4897, 9955, 2139, 13113, 123423, 227629, 0};
static int joe_kuo_d6_initial_number15807[] = {1, 1, 7, 15, 27, 57, 37, 75, 405, 185, 1671, 2245, 7151, 10531, 13161, 15695, 107547, 47689, 0};
static int joe_kuo_d6_initial_number15808[] = {1, 1, 5, 15, 17, 53, 75, 251, 277, 1001, 179, 589, 1401, 4937, 11601, 47113, 36677, 39263, 0};
static int joe_kuo_d6_initial_number15809[] = {1, 3, 5, 15, 23, 47, 53, 81, 115, 547, 1363, 2457, 4407, 10861, 25649, 64013, 44747, 97949, 0};
static int joe_kuo_d6_initial_number15810[] = {1, 1, 3, 1, 25, 29, 121, 43, 205, 591, 211, 1899, 5835, 739, 19627, 60387, 127369, 11255, 0};
static int joe_kuo_d6_initial_number15811[] = {1, 1, 3, 15, 31, 11, 93, 227, 501, 731, 1355, 3963, 347, 83, 12595, 56431, 80049, 42103, 0};
static int joe_kuo_d6_initial_number15812[] = {1, 3, 1, 11, 13, 17, 51, 165, 311, 67, 1873, 1493, 3815, 13209, 11637, 5809, 94219, 118077, 0};
static int joe_kuo_d6_initial_number15813[] = {1, 1, 7, 15, 19, 17, 13, 73, 365, 413, 1215, 2265, 2173, 8725, 4725, 1373, 76733, 95379, 0};
static int joe_kuo_d6_initial_number15814[] = {1, 3, 1, 7, 7, 61, 13, 145, 205, 113, 1579, 3851, 7515, 10659, 28665, 5277, 65925, 10141, 0};
static int joe_kuo_d6_initial_number15815[] = {1, 3, 7, 1, 9, 63, 11, 83, 197, 797, 1065, 1521, 1751, 7423, 7473, 4371, 29533, 225167, 0};
static int joe_kuo_d6_initial_number15816[] = {1, 3, 7, 7, 3, 63, 71, 177, 53, 279, 1837, 2609, 7819, 7285, 11059, 65247, 102869, 24429, 0};
static int joe_kuo_d6_initial_number15817[] = {1, 3, 3, 13, 9, 21, 123, 125, 367, 85, 85, 1009, 1009, 7779, 3375, 30999, 5035, 215107, 0};
static int joe_kuo_d6_initial_number15818[] = {1, 3, 3, 9, 31, 53, 5, 43, 483, 483, 1359, 2605, 377, 4243, 13291, 50211, 118603, 259865, 0};
static int joe_kuo_d6_initial_number15819[] = {1, 1, 1, 5, 19, 37, 109, 139, 373, 79, 1951, 3379, 5679, 6445, 29127, 56229, 97369, 232561, 0};
static int joe_kuo_d6_initial_number15820[] = {1, 1, 3, 5, 19, 37, 61, 225, 321, 573, 1831, 971, 6507, 10005, 6837, 16433, 70913, 170873, 0};
static int joe_kuo_d6_initial_number15821[] = {1, 1, 5, 11, 31, 17, 21, 29, 329, 679, 869, 389, 5121, 1819, 3539, 43793, 31617, 204983, 0};
static int joe_kuo_d6_initial_number15822[] = {1, 1, 7, 7, 21, 11, 83, 97, 297, 275, 1559, 1899, 4957, 11463, 25647, 21095, 70121, 113395, 0};
static int joe_kuo_d6_initial_number15823[] = {1, 3, 5, 11, 19, 57, 39, 37, 441, 715, 383, 4083, 1937, 12263, 6989, 36159, 118135, 238475, 0};
static int joe_kuo_d6_initial_number15824[] = {1, 1, 1, 3, 9, 53, 85, 201, 357, 807, 865, 1621, 1993, 7623, 3165, 1005, 93343, 227765, 0};
static int joe_kuo_d6_initial_number15825[] = {1, 1, 7, 7, 21, 29, 123, 175, 319, 621, 303, 117, 5589, 12511, 26053, 41603, 78439, 71819, 0};
static int joe_kuo_d6_initial_number15826[] = {1, 1, 7, 15, 31, 47, 75, 225, 295, 67, 1349, 1749, 1363, 8763, 9153, 4059, 72015, 3155, 0};
static int joe_kuo_d6_initial_number15827[] = {1, 3, 5, 13, 19, 23, 79, 25, 319, 475, 1517, 2757, 4009, 12663, 535, 51617, 55695, 64399, 0};
static int joe_kuo_d6_initial_number15828[] = {1, 3, 7, 13, 19, 39, 61, 235, 369, 951, 111, 2169, 353, 15371, 8611, 42477, 130981, 97419, 0};
static int joe_kuo_d6_initial_number15829[] = {1, 1, 3, 13, 27, 31, 115, 201, 3, 291, 793, 237, 3593, 2307, 12745, 54603, 96451, 80853, 0};
static int joe_kuo_d6_initial_number15830[] = {1, 3, 3, 11, 11, 35, 43, 1, 35, 415, 1307, 2303, 5407, 6883, 29023, 31271, 119721, 90599, 0};
static int joe_kuo_d6_initial_number15831[] = {1, 1, 5, 9, 21, 23, 3, 1, 333, 463, 1277, 1165, 6521, 4887, 16029, 32537, 43681, 21633, 0};
static int joe_kuo_d6_initial_number15832[] = {1, 1, 1, 13, 1, 35, 45, 57, 293, 435, 1113, 2477, 6641, 14083, 28489, 26189, 44695, 220481, 0};
static int joe_kuo_d6_initial_number15833[] = {1, 3, 5, 5, 5, 31, 75, 149, 309, 921, 941, 1063, 7041, 12651, 29533, 46955, 88133, 89989, 0};
static int joe_kuo_d6_initial_number15834[] = {1, 1, 3, 5, 15, 23, 127, 143, 193, 739, 281, 991, 3731, 16243, 25483, 24979, 102317, 186657, 0};
static int joe_kuo_d6_initial_number15835[] = {1, 1, 3, 13, 3, 63, 23, 69, 181, 163, 1733, 893, 5513, 1525, 31483, 15033, 108021, 167875, 0};
static int joe_kuo_d6_initial_number15836[] = {1, 1, 5, 15, 15, 51, 79, 59, 55, 243, 565, 159, 7925, 8393, 20059, 35011, 53779, 166241, 0};
static int joe_kuo_d6_initial_number15837[] = {1, 1, 3, 5, 11, 57, 85, 175, 495, 999, 1577, 2377, 715, 2473, 16979, 5949, 87691, 195607, 0};
static int joe_kuo_d6_initial_number15838[] = {1, 1, 1, 13, 17, 21, 53, 73, 187, 63, 335, 3251, 4439, 5701, 13469, 23567, 70125, 68931, 0};
static int joe_kuo_d6_initial_number15839[] = {1, 1, 1, 13, 23, 11, 55, 75, 37, 845, 745, 2193, 7113, 5657, 29449, 41153, 115547, 87261, 0};
static int joe_kuo_d6_initial_number15840[] = {1, 3, 3, 9, 21, 39, 47, 145, 301, 883, 625, 2479, 1089, 3393, 23265, 49577, 81027, 186485, 0};
static int joe_kuo_d6_initial_number15841[] = {1, 1, 3, 7, 3, 11, 37, 117, 79, 905, 493, 265, 1819, 12179, 12361, 27457, 14459, 231837, 0};
static int joe_kuo_d6_initial_number15842[] = {1, 3, 5, 11, 19, 45, 99, 5, 455, 497, 1851, 2349, 5213, 3671, 5871, 43187, 59011, 211167, 0};
static int joe_kuo_d6_initial_number15843[] = {1, 3, 7, 5, 23, 61, 63, 97, 413, 575, 1073, 2587, 573, 1805, 32307, 58463, 84927, 15065, 0};
static int joe_kuo_d6_initial_number15844[] = {1, 3, 1, 13, 23, 9, 39, 1, 53, 383, 1277, 3599, 7719, 16175, 4443, 53143, 24345, 111899, 0};
static int joe_kuo_d6_initial_number15845[] = {1, 1, 7, 1, 19, 37, 103, 245, 253, 5, 1367, 3127, 4689, 5089, 30697, 45513, 111291, 26599, 0};
static int joe_kuo_d6_initial_number15846[] = {1, 3, 3, 7, 31, 31, 107, 163, 1, 855, 163, 875, 7481, 5325, 30107, 19377, 3167, 5613, 0};
static int joe_kuo_d6_initial_number15847[] = {1, 1, 5, 13, 21, 17, 115, 203, 233, 333, 441, 3185, 3197, 3397, 8515, 61879, 11163, 233277, 0};
static int joe_kuo_d6_initial_number15848[] = {1, 3, 5, 3, 17, 53, 93, 233, 465, 573, 1075, 1905, 1141, 4965, 13469, 24901, 23653, 225233, 0};
static int joe_kuo_d6_initial_number15849[] = {1, 3, 7, 11, 11, 1, 95, 47, 85, 65, 9, 2413, 7347, 2127, 305, 4673, 79281, 188081, 0};
static int joe_kuo_d6_initial_number15850[] = {1, 1, 7, 5, 9, 5, 27, 23, 393, 201, 467, 3677, 2641, 4671, 24627, 18927, 45137, 74167, 0};
static int joe_kuo_d6_initial_number15851[] = {1, 3, 5, 11, 11, 9, 19, 247, 423, 693, 1885, 1129, 7459, 8411, 2573, 54111, 98919, 160075, 0};
static int joe_kuo_d6_initial_number15852[] = {1, 3, 3, 3, 1, 3, 67, 131, 317, 915, 151, 3609, 4083, 6395, 12877, 44017, 28877, 244165, 0};
static int joe_kuo_d6_initial_number15853[] = {1, 3, 1, 3, 1, 33, 29, 23, 19, 323, 873, 115, 2439, 4699, 5449, 51637, 68889, 105197, 0};
static int joe_kuo_d6_initial_number15854[] = {1, 1, 7, 1, 19, 55, 37, 241, 53, 695, 729, 1565, 19, 12875, 26993, 18511, 35615, 169281, 0};
static int joe_kuo_d6_initial_number15855[] = {1, 3, 3, 1, 1, 7, 121, 49, 345, 883, 1001, 657, 2647, 15387, 30633, 18107, 13745, 217735, 0};
static int joe_kuo_d6_initial_number15856[] = {1, 3, 5, 15, 11, 45, 73, 77, 307, 373, 1723, 335, 473, 5735, 11747, 39257, 87199, 47663, 0};
static int joe_kuo_d6_initial_number15857[] = {1, 1, 7, 7, 27, 21, 121, 169, 427, 605, 1593, 3147, 1001, 3773, 31505, 22823, 21543, 82931, 0};
static int joe_kuo_d6_initial_number15858[] = {1, 1, 1, 9, 11, 59, 91, 165, 249, 859, 483, 3133, 5729, 12675, 7761, 6475, 116823, 224187, 0};
static int joe_kuo_d6_initial_number15859[] = {1, 1, 3, 3, 27, 31, 51, 1, 429, 517, 1439, 3959, 2343, 6709, 5287, 24039, 52409, 20749, 0};
static int joe_kuo_d6_initial_number15860[] = {1, 3, 7, 7, 11, 31, 83, 111, 391, 729, 721, 1675, 5679, 14637, 22065, 49903, 113759, 40881, 0};
static int joe_kuo_d6_initial_number15861[] = {1, 3, 7, 1, 25, 15, 91, 59, 87, 313, 155, 1439, 2419, 2099, 22709, 10289, 40655, 17351, 0};
static int joe_kuo_d6_initial_number15862[] = {1, 3, 5, 1, 15, 5, 11, 21, 261, 227, 1563, 1177, 4731, 3487, 1607, 46599, 105599, 193425, 0};
static int joe_kuo_d6_initial_number15863[] = {1, 1, 5, 5, 5, 45, 77, 181, 431, 27, 1985, 881, 2555, 7589, 16199, 31041, 66683, 52499, 0};
static int joe_kuo_d6_initial_number15864[] = {1, 1, 1, 15, 5, 29, 111, 209, 335, 747, 93, 3551, 5951, 14995, 18451, 33329, 9117, 167455, 0};
static int joe_kuo_d6_initial_number15865[] = {1, 3, 1, 7, 25, 9, 113, 123, 387, 87, 267, 2251, 3509, 10829, 32733, 48025, 58267, 143553, 0};
static int joe_kuo_d6_initial_number15866[] = {1, 3, 5, 15, 17, 17, 65, 107, 175, 427, 733, 797, 3837, 12773, 27865, 29481, 4557, 196163, 0};
static int joe_kuo_d6_initial_number15867[] = {1, 3, 1, 3, 1, 53, 93, 175, 509, 351, 1093, 1039, 6931, 2691, 14957, 44395, 84383, 58915, 0};
static int joe_kuo_d6_initial_number15868[] = {1, 1, 1, 11, 1, 43, 61, 123, 377, 813, 1335, 1597, 147, 13663, 30781, 47635, 24111, 64307, 0};
static int joe_kuo_d6_initial_number15869[] = {1, 1, 3, 11, 25, 27, 15, 215, 125, 679, 1491, 3203, 5403, 4531, 11839, 44227, 49239, 110439, 0};
static int joe_kuo_d6_initial_number15870[] = {1, 1, 3, 13, 9, 35, 71, 127, 127, 629, 1363, 585, 6713, 10637, 6803, 20963, 47157, 157781, 0};
static int joe_kuo_d6_initial_number15871[] = {1, 1, 3, 11, 13, 21, 117, 241, 365, 175, 1397, 1279, 4117, 5427, 24007, 50711, 465, 225003, 0};
static int joe_kuo_d6_initial_number15872[] = {1, 1, 1, 9, 13, 63, 49, 189, 113, 61, 353, 2221, 7541, 4075, 5283, 5505, 51035, 35191, 0};
static int joe_kuo_d6_initial_number15873[] = {1, 1, 7, 9, 11, 37, 123, 63, 331, 691, 1299, 1661, 3769, 7827, 32127, 32149, 7271, 150363, 0};
static int joe_kuo_d6_initial_number15874[] = {1, 1, 1, 5, 25, 5, 127, 195, 413, 657, 479, 879, 6743, 8959, 791, 22425, 77119, 180721, 0};
static int joe_kuo_d6_initial_number15875[] = {1, 1, 7, 3, 13, 57, 123, 125, 135, 69, 455, 3363, 1783, 1557, 20401, 26707, 130345, 195881, 0};
static int joe_kuo_d6_initial_number15876[] = {1, 3, 3, 7, 27, 19, 125, 71, 201, 1017, 1285, 3955, 5255, 14375, 18163, 28537, 76157, 247193, 0};
static int joe_kuo_d6_initial_number15877[] = {1, 1, 3, 1, 27, 33, 123, 137, 189, 655, 1891, 2419, 5195, 97, 32565, 38581, 62715, 164697, 0};
static int joe_kuo_d6_initial_number15878[] = {1, 1, 1, 15, 9, 47, 23, 147, 197, 503, 1803, 2953, 2961, 13787, 10545, 35465, 53997, 198655, 0};
static int joe_kuo_d6_initial_number15879[] = {1, 3, 1, 9, 9, 43, 65, 237, 119, 621, 1517, 3479, 4165, 12797, 14731, 53131, 105501, 112845, 0};
static int joe_kuo_d6_initial_number15880[] = {1, 3, 3, 15, 3, 23, 47, 163, 469, 363, 1813, 3107, 6167, 8987, 26829, 33099, 6821, 203017, 0};
static int joe_kuo_d6_initial_number15881[] = {1, 1, 1, 9, 1, 11, 85, 11, 251, 907, 395, 3935, 3403, 229, 16825, 48337, 103647, 91425, 0};
static int joe_kuo_d6_initial_number15882[] = {1, 3, 1, 5, 17, 57, 21, 181, 31, 27, 235, 4041, 4927, 8319, 29765, 61603, 19081, 75879, 0};
static int joe_kuo_d6_initial_number15883[] = {1, 1, 5, 15, 11, 3, 7, 225, 247, 221, 251, 1979, 1151, 10829, 26491, 39705, 41587, 99063, 0};
static int joe_kuo_d6_initial_number15884[] = {1, 3, 5, 5, 19, 23, 57, 127, 467, 409, 43, 829, 3883, 10767, 24351, 31365, 115943, 209231, 0};
static int joe_kuo_d6_initial_number15885[] = {1, 1, 7, 15, 3, 51, 17, 251, 219, 33, 1511, 2027, 4995, 12277, 7639, 59895, 85267, 87735, 0};
static int joe_kuo_d6_initial_number15886[] = {1, 3, 7, 3, 7, 29, 93, 57, 427, 235, 1591, 3475, 1159, 2387, 851, 43307, 87081, 151543, 0};
static int joe_kuo_d6_initial_number15887[] = {1, 3, 7, 7, 1, 9, 21, 167, 73, 439, 2035, 2091, 4563, 4819, 5591, 57123, 78739, 63235, 0};
static int joe_kuo_d6_initial_number15888[] = {1, 1, 3, 13, 19, 35, 63, 17, 425, 277, 1669, 931, 597, 5621, 22367, 1155, 109099, 169965, 0};
static int joe_kuo_d6_initial_number15889[] = {1, 3, 7, 5, 11, 11, 41, 71, 35, 183, 555, 2631, 5199, 16381, 16319, 1851, 121551, 141711, 0};
static int joe_kuo_d6_initial_number15890[] = {1, 3, 5, 5, 21, 17, 3, 95, 47, 1011, 1757, 3295, 1111, 16043, 6377, 16257, 37941, 206637, 0};
static int joe_kuo_d6_initial_number15891[] = {1, 3, 1, 5, 25, 19, 19, 69, 395, 589, 1311, 1075, 5763, 12475, 3633, 40647, 54487, 97459, 0};
static int joe_kuo_d6_initial_number15892[] = {1, 3, 5, 7, 13, 23, 83, 91, 419, 415, 685, 1685, 2893, 12953, 30641, 43565, 11851, 187837, 0};
static int joe_kuo_d6_initial_number15893[] = {1, 1, 5, 11, 27, 1, 61, 155, 279, 737, 215, 2909, 969, 57, 17979, 34537, 41861, 243717, 0};
static int joe_kuo_d6_initial_number15894[] = {1, 1, 5, 1, 17, 61, 57, 199, 127, 569, 1109, 3057, 7301, 16097, 17579, 25753, 82653, 237273, 0};
static int joe_kuo_d6_initial_number15895[] = {1, 1, 7, 15, 17, 45, 19, 53, 153, 785, 51, 291, 5261, 1317, 21163, 44393, 108131, 254373, 0};
static int joe_kuo_d6_initial_number15896[] = {1, 1, 3, 11, 5, 19, 61, 125, 127, 961, 2019, 1725, 855, 677, 20853, 38845, 3239, 95697, 0};
static int joe_kuo_d6_initial_number15897[] = {1, 1, 3, 15, 3, 3, 117, 17, 61, 201, 241, 1759, 4465, 3985, 6985, 47703, 58657, 52633, 0};
static int joe_kuo_d6_initial_number15898[] = {1, 3, 3, 11, 31, 39, 107, 171, 19, 825, 1309, 807, 7787, 10761, 20215, 9287, 21553, 179599, 0};
static int joe_kuo_d6_initial_number15899[] = {1, 3, 7, 9, 5, 7, 121, 15, 3, 199, 97, 3177, 5461, 15713, 27609, 54349, 24963, 186279, 0};
static int joe_kuo_d6_initial_number15900[] = {1, 3, 1, 15, 11, 9, 123, 187, 363, 5, 837, 451, 1601, 6597, 10857, 46893, 83729, 20409, 0};
static int joe_kuo_d6_initial_number15901[] = {1, 3, 1, 9, 1, 53, 71, 191, 217, 165, 1709, 1827, 1977, 10073, 11373, 35311, 26637, 134519, 0};
static int joe_kuo_d6_initial_number15902[] = {1, 3, 5, 11, 31, 55, 101, 189, 277, 347, 629, 223, 785, 5739, 25505, 55601, 55017, 212837, 0};
static int joe_kuo_d6_initial_number15903[] = {1, 1, 5, 11, 3, 13, 45, 235, 65, 459, 621, 587, 7105, 6181, 13193, 5683, 42935, 198585, 0};
static int joe_kuo_d6_initial_number15904[] = {1, 1, 3, 1, 3, 17, 27, 109, 261, 979, 903, 1499, 4799, 11759, 10591, 65429, 74587, 16629, 0};
static int joe_kuo_d6_initial_number15905[] = {1, 1, 5, 1, 13, 63, 29, 11, 441, 151, 611, 4073, 3933, 6793, 28845, 39223, 120823, 49397, 0};
static int joe_kuo_d6_initial_number15906[] = {1, 3, 3, 5, 21, 13, 23, 53, 357, 197, 1327, 1773, 2961, 11509, 16585, 10201, 28451, 45109, 0};
static int joe_kuo_d6_initial_number15907[] = {1, 3, 5, 7, 19, 17, 97, 63, 295, 111, 85, 2981, 6719, 9193, 15197, 12117, 2553, 59909, 0};
static int joe_kuo_d6_initial_number15908[] = {1, 1, 5, 5, 15, 3, 9, 85, 333, 379, 1409, 1445, 4173, 3953, 833, 48089, 120249, 122703, 0};
static int joe_kuo_d6_initial_number15909[] = {1, 3, 7, 7, 29, 13, 57, 19, 141, 979, 1991, 4011, 8125, 3915, 15753, 1371, 113771, 117273, 0};
static int joe_kuo_d6_initial_number15910[] = {1, 3, 3, 13, 21, 53, 115, 187, 279, 29, 1355, 1843, 253, 3531, 8193, 54731, 6213, 123467, 0};
static int joe_kuo_d6_initial_number15911[] = {1, 3, 3, 1, 25, 29, 109, 19, 37, 385, 901, 3737, 6247, 9941, 13185, 2895, 88819, 53029, 0};
static int joe_kuo_d6_initial_number15912[] = {1, 1, 1, 1, 3, 31, 89, 157, 483, 657, 1833, 2975, 3187, 631, 28685, 7277, 4915, 115955, 0};
static int joe_kuo_d6_initial_number15913[] = {1, 3, 3, 1, 25, 41, 13, 99, 385, 303, 297, 419, 7919, 12411, 757, 9227, 47867, 120175, 0};
static int joe_kuo_d6_initial_number15914[] = {1, 3, 5, 11, 23, 15, 21, 157, 177, 301, 789, 2791, 5769, 7809, 2369, 26123, 116465, 22595, 0};
static int joe_kuo_d6_initial_number15915[] = {1, 1, 5, 9, 17, 63, 45, 239, 465, 811, 1157, 1443, 8137, 12587, 26209, 62057, 59299, 167171, 0};
static int joe_kuo_d6_initial_number15916[] = {1, 3, 3, 7, 3, 45, 41, 17, 341, 461, 571, 541, 989, 4069, 17531, 46729, 107915, 47871, 0};
static int joe_kuo_d6_initial_number15917[] = {1, 1, 7, 1, 1, 23, 45, 213, 125, 799, 5, 3443, 2535, 12983, 2133, 63411, 93027, 89831, 0};
static int joe_kuo_d6_initial_number15918[] = {1, 1, 1, 15, 7, 31, 49, 181, 213, 923, 281, 2059, 861, 6951, 25659, 32209, 66423, 225885, 0};
static int joe_kuo_d6_initial_number15919[] = {1, 3, 3, 7, 9, 39, 107, 197, 383, 179, 27, 1395, 6397, 16139, 32049, 33567, 43977, 203939, 0};
static int joe_kuo_d6_initial_number15920[] = {1, 1, 3, 5, 13, 37, 13, 31, 339, 527, 641, 181, 1413, 8145, 341, 57605, 108031, 109311, 0};
static int joe_kuo_d6_initial_number15921[] = {1, 1, 1, 1, 21, 35, 87, 15, 279, 967, 1003, 813, 5075, 10595, 5609, 33901, 86443, 150007, 0};
static int joe_kuo_d6_initial_number15922[] = {1, 3, 1, 5, 27, 9, 75, 199, 377, 889, 545, 1987, 6277, 361, 12563, 35699, 27105, 187995, 0};
static int joe_kuo_d6_initial_number15923[] = {1, 3, 7, 1, 11, 3, 41, 215, 273, 61, 821, 1207, 2809, 8731, 26409, 50323, 22355, 16521, 0};
static int joe_kuo_d6_initial_number15924[] = {1, 1, 7, 5, 29, 13, 99, 133, 15, 673, 215, 445, 4051, 2187, 9395, 62491, 58685, 224707, 0};
static int joe_kuo_d6_initial_number15925[] = {1, 3, 3, 13, 21, 59, 17, 1, 271, 613, 939, 1881, 2379, 16325, 3275, 63707, 59961, 106937, 0};
static int joe_kuo_d6_initial_number15926[] = {1, 3, 3, 1, 23, 53, 51, 181, 391, 375, 767, 239, 373, 4593, 25211, 37173, 70409, 252345, 0};
static int joe_kuo_d6_initial_number15927[] = {1, 3, 3, 11, 15, 17, 37, 145, 41, 107, 151, 1351, 3457, 14727, 755, 36321, 99397, 73359, 0};
static int joe_kuo_d6_initial_number15928[] = {1, 3, 5, 7, 25, 31, 39, 185, 341, 721, 1799, 1803, 5985, 10587, 11605, 9937, 23905, 56485, 0};
static int joe_kuo_d6_initial_number15929[] = {1, 3, 1, 3, 19, 35, 25, 71, 109, 209, 1675, 4043, 2053, 6285, 25317, 50171, 68293, 124385, 0};
static int joe_kuo_d6_initial_number15930[] = {1, 1, 1, 1, 21, 11, 63, 137, 361, 157, 1985, 2161, 7239, 1795, 10459, 38511, 36817, 253347, 0};
static int joe_kuo_d6_initial_number15931[] = {1, 1, 1, 5, 31, 3, 13, 83, 185, 175, 567, 295, 459, 11453, 3765, 9841, 30333, 201377, 0};
static int joe_kuo_d6_initial_number15932[] = {1, 1, 3, 13, 5, 57, 99, 125, 371, 903, 2001, 285, 2005, 8475, 31617, 58265, 641, 115507, 0};
static int joe_kuo_d6_initial_number15933[] = {1, 3, 5, 9, 11, 17, 123, 67, 77, 803, 815, 3173, 4795, 11917, 1187, 32389, 102289, 248359, 0};
static int joe_kuo_d6_initial_number15934[] = {1, 1, 5, 5, 27, 19, 59, 145, 361, 821, 33, 1465, 7643, 11101, 145, 21705, 55105, 181245, 0};
static int joe_kuo_d6_initial_number15935[] = {1, 3, 7, 5, 15, 55, 127, 133, 157, 989, 1211, 3573, 4021, 2967, 2941, 38657, 97681, 114505, 0};
static int joe_kuo_d6_initial_number15936[] = {1, 1, 7, 7, 23, 17, 39, 209, 117, 195, 931, 5, 7509, 9187, 6011, 10297, 13727, 258007, 0};
static int joe_kuo_d6_initial_number15937[] = {1, 3, 1, 13, 3, 17, 105, 69, 9, 163, 1615, 241, 5207, 13173, 28521, 51417, 130645, 106787, 0};
static int joe_kuo_d6_initial_number15938[] = {1, 1, 7, 13, 15, 3, 5, 187, 5, 239, 1799, 3083, 7801, 12781, 24817, 59341, 73867, 175273, 0};
static int joe_kuo_d6_initial_number15939[] = {1, 1, 3, 11, 11, 1, 89, 17, 497, 217, 1565, 2933, 6449, 7687, 6561, 57903, 92751, 261371, 0};
static int joe_kuo_d6_initial_number15940[] = {1, 1, 1, 1, 15, 39, 47, 249, 39, 765, 249, 2785, 4401, 16033, 11463, 127, 120109, 83133, 0};
static int joe_kuo_d6_initial_number15941[] = {1, 1, 3, 3, 19, 59, 47, 153, 505, 1009, 413, 1177, 5999, 6841, 12013, 40295, 115641, 189241, 0};
static int joe_kuo_d6_initial_number15942[] = {1, 3, 3, 11, 17, 51, 45, 101, 459, 971, 1133, 3467, 4945, 12445, 1267, 41783, 66825, 130167, 0};
static int joe_kuo_d6_initial_number15943[] = {1, 3, 1, 7, 17, 45, 77, 211, 387, 23, 1903, 2309, 2681, 6897, 6959, 30981, 113537, 207415, 0};
static int joe_kuo_d6_initial_number15944[] = {1, 1, 3, 1, 19, 9, 103, 89, 461, 881, 71, 2019, 6475, 13563, 18835, 2375, 34807, 1373, 0};
static int joe_kuo_d6_initial_number15945[] = {1, 1, 7, 11, 3, 31, 125, 121, 43, 737, 1995, 3043, 811, 8883, 8169, 22131, 29295, 194963, 0};
static int joe_kuo_d6_initial_number15946[] = {1, 3, 7, 11, 7, 45, 125, 149, 427, 187, 1361, 2405, 2815, 8877, 15255, 36867, 95517, 261969, 0};
static int joe_kuo_d6_initial_number15947[] = {1, 1, 7, 11, 9, 29, 89, 175, 467, 997, 937, 3869, 7843, 12629, 8701, 60717, 30443, 193427, 0};
static int joe_kuo_d6_initial_number15948[] = {1, 1, 5, 7, 3, 3, 57, 199, 315, 477, 189, 2029, 2059, 3473, 27411, 30419, 26465, 187807, 0};
static int joe_kuo_d6_initial_number15949[] = {1, 3, 1, 15, 3, 3, 11, 55, 233, 603, 1749, 1737, 5709, 4559, 13427, 39137, 44885, 61611, 0};
static int joe_kuo_d6_initial_number15950[] = {1, 1, 7, 1, 25, 15, 61, 199, 107, 737, 909, 3229, 1799, 5129, 27655, 45937, 919, 36161, 0};
static int joe_kuo_d6_initial_number15951[] = {1, 1, 3, 5, 31, 27, 99, 247, 425, 689, 1335, 1661, 625, 15817, 22601, 33293, 113927, 261931, 0};
static int joe_kuo_d6_initial_number15952[] = {1, 1, 1, 9, 5, 57, 117, 121, 465, 859, 335, 879, 665, 12787, 21313, 46387, 16437, 53769, 0};
static int joe_kuo_d6_initial_number15953[] = {1, 1, 3, 1, 11, 11, 75, 145, 307, 621, 833, 235, 3907, 11331, 6633, 51905, 72581, 129613, 0};
static int joe_kuo_d6_initial_number15954[] = {1, 1, 3, 13, 17, 13, 81, 125, 377, 499, 1597, 3437, 4323, 789, 23825, 46609, 105997, 159709, 0};
static int joe_kuo_d6_initial_number15955[] = {1, 3, 3, 9, 5, 29, 113, 51, 23, 957, 1981, 3205, 2549, 9771, 2555, 44289, 103893, 170241, 0};
static int joe_kuo_d6_initial_number15956[] = {1, 1, 5, 15, 13, 17, 101, 67, 71, 7, 185, 3775, 5399, 5213, 13095, 26045, 59467, 95547, 0};
static int joe_kuo_d6_initial_number15957[] = {1, 1, 5, 5, 31, 11, 77, 169, 3, 1007, 1853, 2245, 509, 13489, 2807, 55227, 67541, 242835, 0};
static int joe_kuo_d6_initial_number15958[] = {1, 3, 7, 15, 11, 63, 39, 97, 1, 219, 1827, 2343, 6009, 4909, 4327, 21853, 46079, 87719, 0};
static int joe_kuo_d6_initial_number15959[] = {1, 3, 1, 9, 17, 51, 119, 93, 179, 607, 1051, 2381, 619, 11215, 10839, 44771, 20555, 12721, 0};
static int joe_kuo_d6_initial_number15960[] = {1, 3, 3, 5, 21, 47, 35, 133, 61, 937, 1561, 1655, 6527, 5085, 4141, 60811, 59971, 6309, 0};
static int joe_kuo_d6_initial_number15961[] = {1, 3, 1, 7, 5, 63, 7, 235, 489, 675, 945, 943, 7107, 6005, 32695, 27655, 113219, 132963, 0};
static int joe_kuo_d6_initial_number15962[] = {1, 1, 1, 7, 7, 5, 81, 237, 365, 1, 811, 3075, 1771, 5223, 7337, 24601, 68383, 156975, 0};
static int joe_kuo_d6_initial_number15963[] = {1, 3, 1, 15, 5, 35, 39, 91, 301, 387, 805, 3537, 737, 7453, 4655, 16349, 108261, 123697, 0};
static int joe_kuo_d6_initial_number15964[] = {1, 3, 5, 3, 9, 59, 95, 187, 155, 183, 589, 2107, 967, 1095, 4875, 46131, 100699, 212797, 0};
static int joe_kuo_d6_initial_number15965[] = {1, 3, 1, 7, 27, 29, 77, 133, 397, 445, 933, 1483, 5027, 12569, 22163, 58989, 16657, 195347, 0};
static int joe_kuo_d6_initial_number15966[] = {1, 3, 5, 15, 21, 51, 97, 135, 165, 311, 525, 171, 4785, 7947, 14649, 40837, 58875, 222303, 0};
static int joe_kuo_d6_initial_number15967[] = {1, 3, 3, 5, 23, 47, 41, 23, 321, 709, 1555, 1139, 3775, 11617, 13001, 18235, 51803, 197863, 0};
static int joe_kuo_d6_initial_number15968[] = {1, 3, 5, 3, 3, 41, 91, 157, 29, 1005, 945, 3471, 2563, 8493, 24961, 44759, 103079, 50841, 0};
static int joe_kuo_d6_initial_number15969[] = {1, 1, 5, 11, 23, 19, 91, 115, 165, 291, 1653, 1061, 1067, 6171, 18441, 26067, 3569, 117329, 0};
static int joe_kuo_d6_initial_number15970[] = {1, 3, 7, 15, 17, 19, 89, 23, 103, 389, 623, 1071, 203, 9545, 21259, 36155, 55395, 141741, 0};
static int joe_kuo_d6_initial_number15971[] = {1, 3, 5, 11, 27, 43, 31, 193, 55, 489, 353, 1615, 7461, 13977, 31901, 64051, 82667, 258825, 0};
static int joe_kuo_d6_initial_number15972[] = {1, 1, 3, 7, 5, 39, 7, 245, 241, 843, 1545, 3499, 8117, 15057, 14153, 2665, 107401, 66059, 0};
static int joe_kuo_d6_initial_number15973[] = {1, 3, 5, 11, 9, 11, 41, 171, 255, 153, 1973, 759, 51, 15601, 327, 25889, 110861, 20555, 0};
static int joe_kuo_d6_initial_number15974[] = {1, 3, 5, 7, 5, 15, 41, 77, 87, 143, 1141, 3975, 2675, 7131, 5549, 52397, 42073, 27585, 0};
static int joe_kuo_d6_initial_number15975[] = {1, 1, 3, 7, 29, 5, 79, 243, 359, 817, 1053, 3509, 3347, 6207, 5147, 31063, 116851, 132627, 0};
static int joe_kuo_d6_initial_number15976[] = {1, 3, 7, 3, 27, 51, 39, 7, 95, 239, 263, 3497, 867, 1869, 16773, 46947, 59193, 37523, 0};
static int joe_kuo_d6_initial_number15977[] = {1, 3, 1, 1, 25, 31, 113, 127, 187, 77, 675, 3307, 999, 12255, 26441, 30933, 122761, 116783, 0};
static int joe_kuo_d6_initial_number15978[] = {1, 1, 5, 7, 7, 11, 87, 59, 437, 485, 685, 3159, 7259, 16271, 24899, 17919, 130271, 52953, 0};
static int joe_kuo_d6_initial_number15979[] = {1, 1, 3, 11, 7, 13, 61, 157, 149, 1001, 285, 3631, 1923, 16013, 19507, 64447, 8073, 261171, 0};
static int joe_kuo_d6_initial_number15980[] = {1, 3, 7, 9, 7, 13, 45, 7, 225, 671, 287, 1059, 5223, 2077, 7551, 58385, 92955, 162725, 0};
static int joe_kuo_d6_initial_number15981[] = {1, 1, 5, 11, 11, 21, 17, 145, 97, 633, 475, 2639, 2069, 9663, 23633, 50949, 109941, 119865, 0};
static int joe_kuo_d6_initial_number15982[] = {1, 1, 5, 13, 9, 49, 127, 171, 199, 413, 1315, 645, 305, 12123, 9559, 38319, 99945, 103313, 0};
static int joe_kuo_d6_initial_number15983[] = {1, 3, 5, 3, 19, 21, 119, 17, 301, 611, 1785, 2081, 2245, 8761, 4755, 9507, 23133, 144575, 0};
static int joe_kuo_d6_initial_number15984[] = {1, 3, 7, 11, 17, 25, 101, 59, 397, 249, 687, 715, 1151, 15941, 20525, 5171, 24073, 46257, 0};
static int joe_kuo_d6_initial_number15985[] = {1, 1, 3, 15, 11, 45, 9, 201, 421, 867, 389, 3615, 5965, 10561, 18309, 17143, 52771, 230743, 0};
static int joe_kuo_d6_initial_number15986[] = {1, 1, 3, 5, 9, 1, 109, 233, 431, 849, 421, 475, 1331, 9903, 20649, 34759, 118611, 38541, 0};
static int joe_kuo_d6_initial_number15987[] = {1, 3, 5, 15, 9, 55, 113, 217, 83, 409, 1449, 2325, 4825, 11311, 14565, 65075, 124399, 3591, 0};
static int joe_kuo_d6_initial_number15988[] = {1, 3, 3, 9, 27, 13, 101, 181, 255, 313, 693, 951, 1153, 13941, 14097, 8325, 4589, 102883, 0};
static int joe_kuo_d6_initial_number15989[] = {1, 3, 7, 3, 3, 1, 43, 65, 321, 623, 1389, 57, 3461, 9965, 6743, 34843, 91673, 249573, 0};
static int joe_kuo_d6_initial_number15990[] = {1, 3, 5, 5, 11, 29, 101, 79, 275, 685, 569, 59, 6921, 16065, 30625, 53339, 32283, 93401, 0};
static int joe_kuo_d6_initial_number15991[] = {1, 3, 1, 11, 29, 33, 103, 145, 431, 289, 1845, 1915, 23, 699, 5475, 18413, 127185, 162637, 0};
static int joe_kuo_d6_initial_number15992[] = {1, 3, 1, 11, 27, 23, 71, 63, 45, 579, 1187, 1189, 1781, 5595, 9043, 10155, 33321, 36487, 0};
static int joe_kuo_d6_initial_number15993[] = {1, 3, 3, 15, 17, 19, 85, 233, 293, 833, 1711, 857, 7573, 393, 23141, 58713, 21399, 228381, 0};
static int joe_kuo_d6_initial_number15994[] = {1, 3, 3, 15, 3, 35, 33, 35, 403, 123, 575, 3509, 6303, 13203, 17997, 15649, 64331, 124101, 0};
static int joe_kuo_d6_initial_number15995[] = {1, 1, 3, 9, 23, 25, 39, 53, 119, 879, 573, 3225, 5069, 15489, 21887, 11773, 37783, 169523, 0};
static int joe_kuo_d6_initial_number15996[] = {1, 3, 5, 5, 5, 25, 29, 189, 145, 863, 661, 3939, 1059, 11993, 1487, 3157, 118287, 69835, 0};
static int joe_kuo_d6_initial_number15997[] = {1, 3, 7, 3, 15, 9, 85, 107, 17, 965, 1097, 2087, 1947, 14649, 4099, 50941, 64511, 209153, 0};
static int joe_kuo_d6_initial_number15998[] = {1, 3, 5, 15, 19, 21, 127, 71, 429, 97, 1989, 835, 743, 11973, 14635, 45371, 114657, 208085, 0};
static int joe_kuo_d6_initial_number15999[] = {1, 3, 5, 7, 23, 61, 99, 133, 235, 237, 435, 2681, 331, 7859, 20859, 3573, 102901, 775, 0};
static int joe_kuo_d6_initial_number16000[] = {1, 3, 3, 9, 7, 57, 29, 15, 53, 569, 871, 1703, 2573, 10791, 719, 3487, 105709, 89573, 0};
static int joe_kuo_d6_initial_number16001[] = {1, 1, 1, 9, 7, 21, 21, 207, 459, 621, 737, 635, 5101, 4343, 4961, 32067, 64017, 73675, 0};
static int joe_kuo_d6_initial_number16002[] = {1, 1, 3, 9, 25, 27, 77, 69, 251, 327, 921, 3759, 1715, 14537, 21399, 10937, 9085, 241329, 0};
static int joe_kuo_d6_initial_number16003[] = {1, 1, 5, 1, 23, 13, 63, 117, 81, 427, 1063, 1987, 2433, 14837, 13473, 28623, 44799, 202223, 0};
static int joe_kuo_d6_initial_number16004[] = {1, 3, 1, 11, 17, 55, 89, 89, 455, 255, 1009, 1891, 2197, 9045, 23543, 48783, 22871, 58613, 0};
static int joe_kuo_d6_initial_number16005[] = {1, 3, 7, 15, 25, 5, 11, 71, 399, 23, 239, 93, 6681, 11311, 23403, 58131, 59549, 38917, 0};
static int joe_kuo_d6_initial_number16006[] = {1, 1, 1, 1, 19, 63, 73, 31, 69, 145, 921, 2475, 3505, 4797, 23805, 28621, 101153, 98895, 0};
static int joe_kuo_d6_initial_number16007[] = {1, 3, 3, 3, 9, 1, 113, 111, 275, 851, 519, 1607, 635, 13287, 6191, 24545, 112039, 114383, 0};
static int joe_kuo_d6_initial_number16008[] = {1, 3, 7, 9, 13, 13, 107, 97, 37, 133, 21, 1059, 4201, 6777, 2843, 43503, 23761, 13247, 0};
static int joe_kuo_d6_initial_number16009[] = {1, 1, 7, 9, 25, 23, 101, 135, 471, 901, 539, 4083, 1765, 15553, 5879, 10787, 67543, 104543, 0};
static int joe_kuo_d6_initial_number16010[] = {1, 3, 3, 13, 25, 63, 1, 49, 287, 357, 1701, 3689, 3895, 16313, 22619, 20203, 8195, 93127, 0};
static int joe_kuo_d6_initial_number16011[] = {1, 1, 1, 11, 15, 37, 75, 43, 311, 443, 1639, 549, 4707, 3099, 677, 59115, 11709, 71013, 0};
static int joe_kuo_d6_initial_number16012[] = {1, 1, 5, 11, 17, 43, 23, 21, 421, 613, 199, 1029, 5255, 271, 12911, 63431, 108889, 253379, 0};
static int joe_kuo_d6_initial_number16013[] = {1, 3, 7, 11, 27, 45, 9, 89, 65, 25, 1183, 3497, 8123, 2389, 215, 16819, 63777, 163423, 0};
static int joe_kuo_d6_initial_number16014[] = {1, 1, 5, 5, 29, 43, 65, 201, 391, 861, 1133, 3985, 983, 13039, 15545, 13695, 91467, 963, 0};
static int joe_kuo_d6_initial_number16015[] = {1, 3, 7, 3, 9, 55, 73, 205, 287, 765, 941, 353, 7379, 2511, 555, 64399, 77605, 121959, 0};
static int joe_kuo_d6_initial_number16016[] = {1, 3, 1, 11, 25, 15, 109, 35, 351, 675, 1219, 3791, 233, 15133, 30733, 24477, 86077, 85857, 0};
static int joe_kuo_d6_initial_number16017[] = {1, 1, 1, 7, 13, 33, 63, 45, 503, 525, 781, 517, 2187, 1587, 17297, 26147, 35421, 61269, 0};
static int joe_kuo_d6_initial_number16018[] = {1, 3, 1, 9, 9, 35, 69, 79, 447, 675, 803, 2793, 5793, 4433, 29227, 5437, 103347, 37713, 0};
static int joe_kuo_d6_initial_number16019[] = {1, 3, 1, 9, 27, 31, 65, 167, 327, 231, 1959, 657, 3141, 8659, 11055, 23923, 73597, 187139, 0};
static int joe_kuo_d6_initial_number16020[] = {1, 1, 5, 9, 29, 5, 37, 3, 281, 693, 133, 2139, 5867, 12073, 23669, 11427, 80627, 249003, 0};
static int joe_kuo_d6_initial_number16021[] = {1, 1, 1, 13, 9, 35, 89, 203, 381, 281, 535, 1061, 7417, 13373, 12149, 37943, 113133, 110797, 0};
static int joe_kuo_d6_initial_number16022[] = {1, 1, 7, 5, 7, 17, 71, 65, 385, 851, 1357, 3435, 4441, 6999, 27065, 32753, 129531, 52447, 0};
static int joe_kuo_d6_initial_number16023[] = {1, 3, 7, 1, 3, 21, 25, 113, 361, 219, 1345, 2193, 5711, 3331, 14343, 23075, 39955, 71223, 0};
static int joe_kuo_d6_initial_number16024[] = {1, 1, 7, 9, 15, 9, 101, 183, 59, 861, 931, 3385, 6517, 12067, 7753, 37997, 128361, 4591, 0};
static int joe_kuo_d6_initial_number16025[] = {1, 3, 5, 3, 23, 5, 37, 217, 203, 749, 993, 2537, 2425, 13949, 17235, 15461, 21275, 141815, 0};
static int joe_kuo_d6_initial_number16026[] = {1, 3, 5, 1, 19, 59, 63, 241, 211, 285, 2033, 1111, 2859, 14801, 9491, 14557, 12973, 223089, 0};
static int joe_kuo_d6_initial_number16027[] = {1, 1, 1, 11, 15, 41, 57, 59, 233, 897, 1193, 381, 2237, 5309, 19237, 57607, 97941, 116573, 0};
static int joe_kuo_d6_initial_number16028[] = {1, 1, 3, 9, 15, 17, 75, 15, 385, 129, 495, 887, 4933, 15113, 7449, 56213, 15841, 248029, 0};
static int joe_kuo_d6_initial_number16029[] = {1, 3, 1, 1, 29, 37, 19, 221, 47, 185, 1105, 3297, 5235, 6917, 12041, 10815, 54747, 132329, 0};
static int joe_kuo_d6_initial_number16030[] = {1, 3, 1, 5, 3, 17, 33, 35, 395, 491, 1157, 2563, 6257, 1025, 18295, 5293, 77851, 140157, 0};
static int joe_kuo_d6_initial_number16031[] = {1, 3, 1, 13, 7, 31, 95, 21, 347, 409, 1485, 925, 327, 11497, 7305, 6503, 111175, 70989, 0};
static int joe_kuo_d6_initial_number16032[] = {1, 3, 3, 1, 11, 41, 127, 93, 367, 649, 1585, 3379, 7269, 5537, 26077, 28541, 55379, 22989, 0};
static int joe_kuo_d6_initial_number16033[] = {1, 1, 1, 5, 27, 11, 35, 49, 7, 113, 1477, 3615, 7567, 505, 13915, 51023, 50783, 45031, 0};
static int joe_kuo_d6_initial_number16034[] = {1, 1, 7, 5, 25, 1, 35, 59, 269, 427, 791, 3179, 1423, 9801, 17717, 23631, 97947, 126861, 0};
static int joe_kuo_d6_initial_number16035[] = {1, 3, 5, 7, 1, 51, 77, 97, 19, 287, 303, 791, 307, 4939, 13615, 61225, 98127, 114693, 0};
static int joe_kuo_d6_initial_number16036[] = {1, 3, 3, 15, 5, 5, 93, 119, 429, 977, 1763, 3727, 1761, 3597, 16489, 71, 44103, 257929, 0};
static int joe_kuo_d6_initial_number16037[] = {1, 1, 5, 1, 15, 29, 79, 33, 335, 381, 1233, 47, 6741, 4953, 29689, 11223, 129185, 182487, 0};
static int joe_kuo_d6_initial_number16038[] = {1, 1, 1, 11, 29, 27, 27, 189, 507, 523, 1949, 2567, 4105, 1227, 16631, 34187, 28521, 265, 0};
static int joe_kuo_d6_initial_number16039[] = {1, 3, 3, 7, 3, 7, 39, 155, 315, 439, 1953, 1227, 6135, 16291, 453, 50929, 67507, 166981, 0};
static int joe_kuo_d6_initial_number16040[] = {1, 3, 1, 5, 7, 55, 121, 119, 87, 869, 1049, 575, 3675, 13505, 15661, 43899, 106877, 141691, 0};
static int joe_kuo_d6_initial_number16041[] = {1, 3, 1, 11, 23, 9, 117, 243, 329, 767, 335, 2951, 2887, 13441, 27579, 15437, 31699, 165177, 0};
static int joe_kuo_d6_initial_number16042[] = {1, 3, 7, 11, 5, 49, 47, 125, 431, 511, 299, 3215, 3287, 7029, 9737, 28317, 34355, 232365, 0};
static int joe_kuo_d6_initial_number16043[] = {1, 3, 7, 3, 17, 9, 29, 255, 509, 393, 1583, 1979, 6735, 941, 4393, 35741, 82019, 109633, 0};
static int joe_kuo_d6_initial_number16044[] = {1, 1, 5, 1, 13, 31, 95, 133, 117, 257, 993, 1513, 4669, 12239, 7841, 751, 79567, 23289, 0};
static int joe_kuo_d6_initial_number16045[] = {1, 1, 7, 9, 25, 33, 127, 181, 61, 333, 1087, 1661, 2715, 2569, 30041, 4937, 36053, 3435, 0};
static int joe_kuo_d6_initial_number16046[] = {1, 3, 1, 13, 15, 27, 123, 73, 377, 85, 435, 3435, 2079, 9271, 28685, 30089, 38799, 210247, 0};
static int joe_kuo_d6_initial_number16047[] = {1, 1, 5, 3, 5, 17, 93, 181, 313, 837, 1115, 3099, 3603, 3483, 23185, 9933, 53127, 123245, 0};
static int joe_kuo_d6_initial_number16048[] = {1, 1, 1, 13, 3, 57, 11, 67, 41, 273, 1005, 2313, 505, 6593, 27287, 47359, 104597, 45475, 0};
static int joe_kuo_d6_initial_number16049[] = {1, 1, 1, 5, 13, 41, 97, 251, 317, 483, 163, 1493, 6629, 11995, 31293, 4715, 98569, 178419, 0};
static int joe_kuo_d6_initial_number16050[] = {1, 3, 5, 5, 21, 7, 69, 169, 223, 953, 1573, 1137, 8075, 7733, 23031, 14589, 6453, 228883, 0};
static int joe_kuo_d6_initial_number16051[] = {1, 1, 7, 9, 27, 37, 3, 183, 41, 99, 111, 1713, 1291, 8263, 6373, 39549, 3099, 156793, 0};
static int joe_kuo_d6_initial_number16052[] = {1, 1, 3, 1, 23, 43, 15, 27, 223, 173, 1601, 2159, 3595, 15143, 31065, 35799, 77339, 141397, 0};
static int joe_kuo_d6_initial_number16053[] = {1, 1, 5, 13, 9, 35, 27, 93, 23, 999, 593, 563, 5333, 8825, 27277, 46381, 3171, 6311, 0};
static int joe_kuo_d6_initial_number16054[] = {1, 3, 7, 15, 25, 17, 7, 237, 379, 649, 1879, 2643, 5951, 4227, 4937, 24549, 43577, 116327, 0};
static int joe_kuo_d6_initial_number16055[] = {1, 1, 3, 9, 29, 35, 101, 105, 19, 151, 1135, 897, 2427, 15779, 31851, 29183, 44471, 187817, 0};
static int joe_kuo_d6_initial_number16056[] = {1, 3, 7, 11, 9, 55, 19, 115, 395, 559, 1883, 409, 2459, 201, 18975, 339, 108251, 19429, 0};
static int joe_kuo_d6_initial_number16057[] = {1, 3, 1, 13, 1, 11, 67, 45, 407, 169, 1401, 381, 3913, 6491, 28133, 63857, 52095, 115749, 0};
static int joe_kuo_d6_initial_number16058[] = {1, 1, 1, 11, 21, 45, 65, 253, 511, 51, 893, 3533, 2101, 4779, 23941, 22449, 82457, 44447, 0};
static int joe_kuo_d6_initial_number16059[] = {1, 1, 7, 11, 19, 33, 101, 241, 493, 111, 1967, 469, 6575, 10445, 733, 56467, 27403, 25863, 0};
static int joe_kuo_d6_initial_number16060[] = {1, 3, 1, 1, 5, 49, 21, 79, 53, 621, 43, 1183, 1385, 9129, 21727, 35559, 35269, 211383, 0};
static int joe_kuo_d6_initial_number16061[] = {1, 1, 1, 13, 23, 43, 53, 145, 149, 611, 745, 899, 7095, 3243, 1993, 35807, 110783, 246199, 0};
static int joe_kuo_d6_initial_number16062[] = {1, 1, 7, 9, 25, 37, 71, 233, 407, 1, 1749, 759, 7689, 15573, 7351, 33505, 22631, 49125, 0};
static int joe_kuo_d6_initial_number16063[] = {1, 3, 1, 13, 31, 49, 105, 13, 257, 843, 1171, 2819, 621, 12567, 24339, 6689, 127413, 249671, 0};
static int joe_kuo_d6_initial_number16064[] = {1, 1, 5, 11, 5, 1, 93, 21, 317, 789, 571, 2493, 7255, 6459, 14737, 13989, 47003, 246561, 0};
static int joe_kuo_d6_initial_number16065[] = {1, 3, 5, 7, 9, 11, 69, 143, 175, 581, 825, 2219, 1165, 9061, 6073, 57169, 18135, 94943, 0};
static int joe_kuo_d6_initial_number16066[] = {1, 1, 5, 7, 7, 55, 121, 107, 395, 939, 1291, 2497, 3757, 1361, 31823, 19375, 22551, 224653, 0};
static int joe_kuo_d6_initial_number16067[] = {1, 1, 7, 15, 15, 1, 47, 225, 223, 589, 1539, 173, 6257, 5461, 11197, 9801, 80687, 84279, 0};
static int joe_kuo_d6_initial_number16068[] = {1, 3, 7, 11, 23, 47, 83, 119, 367, 895, 431, 1949, 565, 1397, 24911, 29661, 67861, 74621, 0};
static int joe_kuo_d6_initial_number16069[] = {1, 3, 3, 9, 17, 29, 15, 65, 157, 255, 303, 1467, 3279, 8873, 31279, 431, 8497, 7209, 0};
static int joe_kuo_d6_initial_number16070[] = {1, 1, 5, 13, 9, 39, 85, 133, 427, 897, 1665, 2109, 2865, 15573, 27729, 59905, 2241, 83099, 0};
static int joe_kuo_d6_initial_number16071[] = {1, 3, 1, 13, 1, 45, 65, 65, 249, 79, 1515, 503, 953, 9859, 13307, 27419, 102209, 107529, 0};
static int joe_kuo_d6_initial_number16072[] = {1, 3, 7, 9, 17, 13, 79, 93, 231, 5, 1811, 557, 1837, 8077, 8109, 3497, 79985, 134375, 0};
static int joe_kuo_d6_initial_number16073[] = {1, 1, 5, 9, 15, 3, 23, 27, 491, 9, 1657, 3877, 3783, 12645, 2599, 10673, 40035, 197681, 0};
static int joe_kuo_d6_initial_number16074[] = {1, 1, 5, 3, 5, 13, 121, 145, 291, 621, 1731, 145, 2033, 341, 3667, 4139, 52035, 115865, 0};
static int joe_kuo_d6_initial_number16075[] = {1, 3, 5, 5, 3, 29, 115, 227, 339, 23, 1659, 2367, 1079, 10757, 30709, 41473, 55847, 228761, 0};
static int joe_kuo_d6_initial_number16076[] = {1, 3, 5, 7, 7, 61, 103, 57, 197, 31, 237, 2507, 5247, 10529, 13823, 47845, 129031, 47029, 0};
static int joe_kuo_d6_initial_number16077[] = {1, 3, 7, 5, 3, 17, 91, 31, 277, 977, 1905, 3991, 3657, 12197, 14535, 43263, 109629, 31665, 0};
static int joe_kuo_d6_initial_number16078[] = {1, 1, 5, 15, 29, 43, 121, 113, 159, 929, 669, 2067, 4999, 6847, 12369, 61795, 98525, 78051, 0};
static int joe_kuo_d6_initial_number16079[] = {1, 1, 3, 7, 25, 61, 65, 79, 373, 683, 113, 1495, 5447, 15507, 16731, 53959, 62905, 252173, 0};
static int joe_kuo_d6_initial_number16080[] = {1, 3, 1, 11, 1, 15, 101, 55, 477, 357, 333, 3243, 3325, 5885, 11385, 685, 90575, 23015, 0};
static int joe_kuo_d6_initial_number16081[] = {1, 3, 1, 7, 15, 13, 91, 141, 209, 865, 2035, 2791, 367, 9953, 29547, 36731, 13649, 192911, 0};
static int joe_kuo_d6_initial_number16082[] = {1, 1, 5, 15, 9, 59, 37, 131, 3, 299, 897, 119, 7515, 5271, 2207, 18187, 62613, 210345, 0};
static int joe_kuo_d6_initial_number16083[] = {1, 3, 1, 7, 29, 53, 95, 185, 327, 473, 1525, 3751, 915, 5883, 4137, 46343, 104917, 182895, 0};
static int joe_kuo_d6_initial_number16084[] = {1, 1, 7, 3, 31, 57, 53, 169, 215, 607, 541, 1081, 5265, 2509, 28379, 41767, 19435, 143693, 0};
static int joe_kuo_d6_initial_number16085[] = {1, 1, 7, 7, 31, 57, 19, 203, 467, 57, 1305, 1513, 6069, 15595, 31717, 44687, 65335, 159315, 0};
static int joe_kuo_d6_initial_number16086[] = {1, 1, 1, 1, 13, 1, 41, 39, 489, 465, 1645, 2847, 6193, 11025, 11297, 55945, 92085, 243061, 0};
static int joe_kuo_d6_initial_number16087[] = {1, 3, 3, 13, 15, 47, 87, 77, 321, 903, 181, 2093, 1673, 5375, 17969, 48467, 83441, 120867, 0};
static int joe_kuo_d6_initial_number16088[] = {1, 3, 3, 13, 13, 17, 65, 181, 283, 471, 745, 1091, 7255, 5987, 29423, 27579, 96201, 218157, 0};
static int joe_kuo_d6_initial_number16089[] = {1, 1, 1, 7, 13, 5, 101, 131, 309, 401, 99, 2353, 55, 2377, 6059, 64777, 33401, 225605, 0};
static int joe_kuo_d6_initial_number16090[] = {1, 3, 1, 15, 9, 35, 37, 197, 65, 593, 411, 2233, 1485, 9599, 9581, 31935, 115145, 76867, 0};
static int joe_kuo_d6_initial_number16091[] = {1, 3, 7, 9, 3, 41, 103, 237, 453, 335, 1831, 3947, 7573, 3859, 12495, 60617, 20715, 163119, 0};
static int joe_kuo_d6_initial_number16092[] = {1, 3, 5, 7, 9, 9, 25, 79, 421, 267, 585, 1093, 2237, 8881, 7311, 39417, 110901, 8969, 0};
static int joe_kuo_d6_initial_number16093[] = {1, 3, 3, 15, 1, 29, 75, 159, 89, 965, 457, 1645, 1485, 729, 30547, 2275, 79633, 126089, 0};
static int joe_kuo_d6_initial_number16094[] = {1, 3, 7, 7, 19, 47, 55, 115, 287, 477, 719, 3311, 2455, 12033, 13811, 34011, 45153, 126991, 0};
static int joe_kuo_d6_initial_number16095[] = {1, 3, 7, 5, 9, 33, 27, 215, 7, 113, 1027, 415, 1057, 13011, 1547, 7955, 21347, 79427, 0};
static int joe_kuo_d6_initial_number16096[] = {1, 3, 1, 11, 1, 41, 27, 29, 255, 763, 219, 897, 915, 453, 9417, 22845, 31655, 228869, 0};
static int joe_kuo_d6_initial_number16097[] = {1, 1, 7, 13, 7, 49, 105, 111, 53, 219, 171, 841, 5027, 5311, 28171, 58719, 32241, 170921, 0};
static int joe_kuo_d6_initial_number16098[] = {1, 3, 5, 7, 21, 53, 11, 169, 45, 429, 1727, 1953, 8119, 14955, 19997, 62665, 31345, 135715, 0};
static int joe_kuo_d6_initial_number16099[] = {1, 1, 5, 13, 17, 13, 125, 247, 411, 663, 1725, 2515, 7995, 8963, 5797, 32871, 66603, 137997, 0};
static int joe_kuo_d6_initial_number16100[] = {1, 1, 5, 5, 23, 37, 15, 63, 35, 817, 463, 1413, 1203, 8031, 4169, 45755, 93511, 134751, 0};
static int joe_kuo_d6_initial_number16101[] = {1, 1, 1, 1, 31, 17, 15, 125, 199, 57, 1499, 1567, 6113, 6503, 515, 57841, 49885, 213881, 0};
static int joe_kuo_d6_initial_number16102[] = {1, 1, 7, 7, 15, 1, 67, 213, 197, 471, 577, 27, 1533, 13009, 31861, 62435, 113139, 77057, 0};
static int joe_kuo_d6_initial_number16103[] = {1, 3, 7, 1, 29, 21, 99, 173, 137, 19, 1727, 1157, 5215, 4367, 28803, 26031, 120195, 60111, 0};
static int joe_kuo_d6_initial_number16104[] = {1, 1, 5, 9, 25, 55, 27, 45, 231, 693, 765, 429, 2897, 6045, 19705, 61903, 5385, 172967, 0};
static int joe_kuo_d6_initial_number16105[] = {1, 3, 1, 5, 9, 17, 35, 151, 91, 41, 89, 3751, 27, 5721, 26117, 6105, 31609, 79569, 0};
static int joe_kuo_d6_initial_number16106[] = {1, 3, 5, 11, 15, 3, 25, 73, 383, 765, 729, 51, 4245, 6215, 9435, 45223, 68071, 68453, 0};
static int joe_kuo_d6_initial_number16107[] = {1, 1, 7, 5, 31, 61, 19, 153, 331, 233, 11, 3047, 3939, 11959, 897, 4437, 2941, 174493, 0};
static int joe_kuo_d6_initial_number16108[] = {1, 1, 7, 11, 27, 11, 83, 33, 7, 761, 805, 2327, 2997, 12269, 18707, 10615, 114357, 54951, 0};
static int joe_kuo_d6_initial_number16109[] = {1, 3, 5, 9, 3, 45, 65, 193, 347, 771, 663, 2901, 6467, 14109, 5169, 38021, 39605, 216877, 0};
static int joe_kuo_d6_initial_number16110[] = {1, 1, 7, 1, 1, 13, 109, 179, 499, 325, 1763, 1923, 7429, 259, 20589, 48473, 49605, 124709, 0};
static int joe_kuo_d6_initial_number16111[] = {1, 3, 1, 3, 5, 27, 25, 127, 313, 541, 589, 751, 5959, 5801, 32467, 40597, 75625, 24827, 0};
static int joe_kuo_d6_initial_number16112[] = {1, 1, 1, 3, 13, 35, 71, 223, 281, 767, 447, 1253, 2227, 7305, 23125, 62847, 16783, 76145, 0};
static int joe_kuo_d6_initial_number16113[] = {1, 1, 5, 5, 11, 1, 95, 215, 351, 915, 1471, 143, 4011, 3373, 19019, 31797, 85891, 33871, 0};
static int joe_kuo_d6_initial_number16114[] = {1, 1, 3, 9, 15, 39, 125, 29, 85, 625, 1155, 753, 6679, 14239, 14597, 32715, 97313, 162291, 0};
static int joe_kuo_d6_initial_number16115[] = {1, 1, 1, 7, 13, 47, 127, 69, 199, 145, 123, 3207, 7673, 9991, 27501, 29189, 93027, 136881, 0};
static int joe_kuo_d6_initial_number16116[] = {1, 3, 1, 15, 9, 21, 121, 23, 457, 315, 437, 1919, 5531, 13817, 8883, 4421, 19487, 88591, 0};
static int joe_kuo_d6_initial_number16117[] = {1, 3, 1, 9, 15, 49, 101, 27, 11, 283, 1277, 971, 7697, 5915, 12709, 38251, 88165, 261609, 0};
static int joe_kuo_d6_initial_number16118[] = {1, 1, 3, 9, 17, 19, 53, 131, 327, 917, 603, 2451, 3597, 14731, 9223, 29719, 113507, 69875, 0};
static int joe_kuo_d6_initial_number16119[] = {1, 1, 5, 7, 1, 3, 77, 71, 149, 901, 283, 1599, 1053, 16305, 9937, 20907, 4133, 29623, 0};
static int joe_kuo_d6_initial_number16120[] = {1, 1, 3, 9, 25, 63, 101, 255, 397, 233, 1111, 1583, 3431, 5245, 30209, 33201, 63859, 16551, 0};
static int joe_kuo_d6_initial_number16121[] = {1, 1, 7, 5, 19, 25, 9, 137, 105, 363, 867, 811, 5829, 12595, 18867, 61021, 19425, 99399, 0};
static int joe_kuo_d6_initial_number16122[] = {1, 1, 3, 7, 11, 1, 119, 95, 367, 239, 1677, 67, 283, 5701, 3635, 26917, 112895, 224049, 0};
static int joe_kuo_d6_initial_number16123[] = {1, 3, 5, 11, 13, 33, 11, 191, 305, 551, 159, 1953, 4231, 811, 8711, 41291, 110917, 176177, 0};
static int joe_kuo_d6_initial_number16124[] = {1, 3, 5, 9, 15, 3, 27, 29, 77, 881, 849, 1113, 7151, 3433, 11199, 38409, 98173, 21373, 0};
static int joe_kuo_d6_initial_number16125[] = {1, 1, 5, 13, 25, 57, 81, 169, 215, 379, 1707, 493, 1071, 4869, 19149, 24585, 61803, 149305, 0};
static int joe_kuo_d6_initial_number16126[] = {1, 1, 5, 11, 13, 11, 9, 45, 207, 347, 1203, 185, 3919, 3119, 27879, 50793, 18499, 109239, 0};
static int joe_kuo_d6_initial_number16127[] = {1, 1, 1, 5, 3, 23, 123, 175, 445, 439, 215, 1883, 6857, 14837, 29411, 33633, 96241, 68361, 0};
static int joe_kuo_d6_initial_number16128[] = {1, 1, 5, 7, 31, 53, 19, 41, 477, 203, 1133, 1471, 5067, 3875, 30655, 9207, 24835, 22019, 0};
static int joe_kuo_d6_initial_number16129[] = {1, 3, 1, 11, 19, 9, 91, 217, 135, 169, 489, 727, 5471, 2125, 20867, 19689, 78859, 222433, 0};
static int joe_kuo_d6_initial_number16130[] = {1, 1, 1, 13, 5, 37, 37, 39, 397, 527, 789, 1447, 7123, 6099, 16849, 48895, 95543, 56135, 0};
static int joe_kuo_d6_initial_number16131[] = {1, 3, 7, 7, 15, 31, 81, 165, 31, 867, 1879, 1161, 3651, 5167, 12855, 60195, 85611, 191791, 0};
static int joe_kuo_d6_initial_number16132[] = {1, 1, 1, 9, 31, 35, 19, 123, 281, 445, 63, 2683, 7073, 1489, 9791, 40125, 43723, 103765, 0};
static int joe_kuo_d6_initial_number16133[] = {1, 3, 3, 9, 23, 31, 113, 241, 149, 463, 1047, 3737, 8105, 16295, 4565, 8095, 16617, 87455, 0};
static int joe_kuo_d6_initial_number16134[] = {1, 3, 5, 15, 1, 47, 29, 77, 27, 1013, 1091, 3657, 835, 563, 7139, 58839, 92697, 114523, 0};
static int joe_kuo_d6_initial_number16135[] = {1, 3, 1, 1, 5, 49, 87, 251, 473, 583, 2033, 809, 5341, 15835, 691, 57133, 75751, 127717, 0};
static int joe_kuo_d6_initial_number16136[] = {1, 3, 1, 11, 23, 51, 95, 167, 73, 739, 573, 1113, 7585, 5457, 25767, 5583, 29583, 48263, 0};
static int joe_kuo_d6_initial_number16137[] = {1, 1, 3, 5, 9, 59, 1, 235, 17, 973, 1987, 3629, 1739, 6419, 29943, 44963, 63943, 18571, 0};
static int joe_kuo_d6_initial_number16138[] = {1, 3, 7, 11, 9, 37, 25, 253, 307, 411, 891, 1977, 6979, 11287, 12619, 50327, 25831, 135673, 0};
static int joe_kuo_d6_initial_number16139[] = {1, 1, 5, 15, 23, 27, 83, 157, 253, 559, 1989, 2431, 4821, 6617, 4295, 16143, 249, 109855, 0};
static int joe_kuo_d6_initial_number16140[] = {1, 1, 3, 9, 31, 59, 117, 139, 379, 703, 49, 3013, 6383, 4019, 7289, 4567, 34931, 224967, 0};
static int joe_kuo_d6_initial_number16141[] = {1, 1, 1, 3, 3, 33, 49, 127, 177, 417, 723, 3259, 1547, 3297, 19733, 59465, 122179, 13209, 0};
static int joe_kuo_d6_initial_number16142[] = {1, 3, 3, 1, 3, 61, 23, 177, 77, 579, 1739, 2707, 5319, 13291, 10223, 45395, 62797, 124675, 0};
static int joe_kuo_d6_initial_number16143[] = {1, 1, 3, 15, 25, 47, 79, 111, 245, 853, 1103, 3741, 5783, 2075, 26371, 28801, 117831, 111735, 0};
static int joe_kuo_d6_initial_number16144[] = {1, 1, 5, 11, 3, 47, 43, 61, 75, 963, 1507, 3491, 6031, 14171, 32557, 23779, 44815, 168409, 0};
static int joe_kuo_d6_initial_number16145[] = {1, 3, 3, 7, 21, 39, 61, 109, 13, 833, 373, 4021, 4035, 7987, 18957, 10423, 82823, 8763, 0};
static int joe_kuo_d6_initial_number16146[] = {1, 1, 7, 3, 3, 33, 113, 77, 447, 127, 213, 1605, 3873, 12345, 7847, 63903, 80665, 6647, 0};
static int joe_kuo_d6_initial_number16147[] = {1, 3, 1, 5, 25, 11, 49, 233, 377, 791, 43, 195, 393, 1403, 27567, 29673, 11327, 190513, 0};
static int joe_kuo_d6_initial_number16148[] = {1, 3, 1, 15, 21, 3, 21, 169, 221, 495, 1045, 3715, 4923, 2437, 23203, 59905, 70285, 258455, 0};
static int joe_kuo_d6_initial_number16149[] = {1, 1, 7, 13, 29, 33, 91, 153, 31, 359, 25, 3947, 1699, 4081, 20907, 24953, 64977, 88115, 0};
static int joe_kuo_d6_initial_number16150[] = {1, 1, 5, 11, 17, 7, 17, 129, 91, 835, 139, 3823, 1827, 6787, 27367, 26801, 61513, 189677, 0};
static int joe_kuo_d6_initial_number16151[] = {1, 3, 3, 9, 23, 21, 97, 103, 481, 859, 413, 893, 4021, 8111, 23703, 18791, 102735, 82735, 0};
static int joe_kuo_d6_initial_number16152[] = {1, 1, 1, 7, 11, 53, 61, 3, 347, 633, 191, 3605, 41, 12605, 14381, 60403, 126223, 186157, 0};
static int joe_kuo_d6_initial_number16153[] = {1, 3, 5, 1, 11, 33, 61, 235, 245, 623, 2019, 3289, 5761, 15557, 1685, 2173, 104825, 245139, 0};
static int joe_kuo_d6_initial_number16154[] = {1, 1, 3, 7, 19, 55, 75, 219, 11, 75, 1765, 1833, 263, 6605, 26297, 24969, 17721, 109495, 0};
static int joe_kuo_d6_initial_number16155[] = {1, 1, 7, 5, 7, 33, 23, 109, 207, 137, 385, 3233, 6765, 3517, 31389, 57049, 25645, 176257, 0};
static int joe_kuo_d6_initial_number16156[] = {1, 1, 5, 5, 27, 63, 65, 23, 93, 721, 1665, 3805, 3611, 7543, 21119, 38565, 99921, 72773, 0};
static int joe_kuo_d6_initial_number16157[] = {1, 1, 1, 13, 13, 19, 23, 5, 425, 727, 1469, 1261, 6597, 725, 27129, 36953, 25781, 191581, 0};
static int joe_kuo_d6_initial_number16158[] = {1, 3, 3, 1, 3, 29, 25, 109, 237, 135, 409, 2239, 5033, 11007, 31861, 55171, 76313, 216271, 0};
static int joe_kuo_d6_initial_number16159[] = {1, 3, 7, 13, 31, 33, 11, 31, 179, 67, 755, 2513, 37, 12863, 24053, 12315, 45009, 166643, 0};
static int joe_kuo_d6_initial_number16160[] = {1, 1, 5, 13, 13, 37, 19, 223, 409, 387, 139, 3283, 243, 15573, 24173, 63271, 91561, 168665, 0};
static int joe_kuo_d6_initial_number16161[] = {1, 3, 5, 7, 17, 25, 63, 231, 23, 965, 1873, 1021, 7927, 11127, 19553, 9883, 83009, 258991, 0};
static int joe_kuo_d6_initial_number16162[] = {1, 3, 1, 7, 17, 21, 71, 65, 165, 845, 1739, 2395, 5959, 14803, 17333, 59003, 36477, 202511, 0};
static int joe_kuo_d6_initial_number16163[] = {1, 3, 5, 13, 15, 57, 59, 205, 507, 41, 703, 195, 4373, 4023, 13399, 62061, 43645, 204899, 0};
static int joe_kuo_d6_initial_number16164[] = {1, 3, 5, 11, 13, 13, 43, 19, 497, 599, 1345, 2001, 407, 2731, 16283, 55161, 130887, 189201, 0};
static int joe_kuo_d6_initial_number16165[] = {1, 1, 7, 5, 13, 3, 105, 83, 235, 363, 869, 1715, 4031, 3419, 15149, 10627, 47787, 226107, 0};
static int joe_kuo_d6_initial_number16166[] = {1, 3, 3, 3, 9, 49, 99, 161, 413, 739, 195, 2815, 1157, 9069, 15591, 4509, 30765, 184013, 0};
static int joe_kuo_d6_initial_number16167[] = {1, 3, 7, 5, 25, 63, 23, 91, 507, 647, 1249, 2035, 4341, 8811, 8345, 49463, 69023, 195775, 0};
static int joe_kuo_d6_initial_number16168[] = {1, 3, 5, 5, 5, 21, 117, 1, 321, 495, 251, 1961, 8043, 6593, 11017, 6167, 56607, 144009, 0};
static int joe_kuo_d6_initial_number16169[] = {1, 1, 3, 3, 15, 63, 41, 177, 403, 375, 1771, 3, 7481, 4887, 799, 59283, 106319, 32155, 0};
static int joe_kuo_d6_initial_number16170[] = {1, 1, 1, 7, 19, 57, 97, 91, 489, 561, 335, 3809, 3167, 8879, 1789, 22329, 58851, 84461, 0};
static int joe_kuo_d6_initial_number16171[] = {1, 3, 3, 11, 3, 23, 79, 25, 187, 497, 1343, 543, 4495, 14599, 29365, 14795, 26341, 26923, 0};
static int joe_kuo_d6_initial_number16172[] = {1, 3, 1, 13, 21, 35, 9, 227, 423, 761, 439, 3099, 5167, 12955, 12877, 5591, 123511, 74227, 0};
static int joe_kuo_d6_initial_number16173[] = {1, 1, 3, 7, 1, 49, 115, 95, 481, 659, 183, 2337, 39, 235, 30869, 10223, 59673, 65293, 0};
static int joe_kuo_d6_initial_number16174[] = {1, 1, 1, 13, 11, 29, 113, 37, 153, 993, 1195, 1695, 4741, 13671, 29097, 65023, 78281, 156235, 0};
static int joe_kuo_d6_initial_number16175[] = {1, 3, 5, 11, 19, 17, 47, 243, 273, 679, 393, 4059, 705, 12473, 1867, 13783, 86821, 240545, 0};
static int joe_kuo_d6_initial_number16176[] = {1, 3, 1, 11, 23, 35, 15, 31, 275, 261, 427, 909, 7925, 4737, 22825, 34859, 28593, 20071, 0};
static int joe_kuo_d6_initial_number16177[] = {1, 3, 1, 1, 13, 1, 115, 115, 103, 63, 1023, 815, 7007, 6063, 13329, 28051, 29807, 109861, 0};
static int joe_kuo_d6_initial_number16178[] = {1, 1, 1, 11, 19, 57, 49, 169, 33, 59, 579, 2409, 89, 9655, 18091, 57771, 34509, 175991, 0};
static int joe_kuo_d6_initial_number16179[] = {1, 1, 5, 9, 27, 19, 41, 217, 313, 359, 1745, 3887, 589, 3103, 10087, 30615, 56793, 102515, 0};
static int joe_kuo_d6_initial_number16180[] = {1, 3, 7, 11, 25, 43, 101, 245, 67, 1003, 1379, 2141, 8025, 15231, 20705, 45513, 82251, 147295, 0};
static int joe_kuo_d6_initial_number16181[] = {1, 3, 5, 5, 5, 47, 19, 33, 107, 773, 627, 4077, 5829, 6483, 25791, 35079, 103073, 201657, 0};
static int joe_kuo_d6_initial_number16182[] = {1, 1, 5, 15, 1, 37, 115, 15, 61, 987, 1029, 2125, 5357, 10233, 14907, 12077, 92143, 207301, 0};
static int joe_kuo_d6_initial_number16183[] = {1, 1, 7, 7, 3, 15, 95, 3, 393, 535, 819, 743, 3613, 11459, 2269, 17083, 65547, 74813, 0};
static int joe_kuo_d6_initial_number16184[] = {1, 1, 7, 5, 11, 27, 117, 65, 55, 87, 105, 3219, 1587, 383, 25349, 54561, 11935, 101203, 0};
static int joe_kuo_d6_initial_number16185[] = {1, 1, 5, 15, 23, 53, 37, 149, 191, 963, 1407, 4091, 1647, 9537, 30247, 23501, 123745, 76301, 0};
static int joe_kuo_d6_initial_number16186[] = {1, 3, 1, 1, 21, 31, 11, 107, 55, 823, 805, 141, 7177, 15883, 3307, 52245, 115171, 260589, 0};
static int joe_kuo_d6_initial_number16187[] = {1, 3, 7, 13, 25, 15, 5, 221, 347, 83, 51, 1227, 4591, 851, 10173, 37777, 82441, 175219, 0};
static int joe_kuo_d6_initial_number16188[] = {1, 1, 7, 15, 17, 41, 121, 215, 111, 999, 367, 1961, 3207, 10145, 10395, 24381, 95937, 12693, 0};
static int joe_kuo_d6_initial_number16189[] = {1, 1, 1, 11, 23, 27, 117, 255, 87, 519, 599, 3471, 3983, 2797, 13477, 56479, 27321, 101585, 0};
static int joe_kuo_d6_initial_number16190[] = {1, 1, 5, 9, 1, 3, 35, 15, 457, 209, 141, 1295, 1631, 9745, 30247, 44865, 78113, 13207, 0};
static int joe_kuo_d6_initial_number16191[] = {1, 3, 3, 1, 27, 63, 29, 31, 277, 173, 1321, 3847, 4127, 8713, 10507, 8697, 97025, 105995, 0};
static int joe_kuo_d6_initial_number16192[] = {1, 1, 5, 13, 13, 47, 33, 69, 113, 369, 539, 4075, 1013, 9733, 9291, 33377, 130567, 238331, 0};
static int joe_kuo_d6_initial_number16193[] = {1, 3, 7, 13, 15, 15, 125, 219, 205, 763, 1233, 1911, 7733, 7623, 27305, 6067, 16169, 238805, 0};
static int joe_kuo_d6_initial_number16194[] = {1, 3, 1, 9, 23, 17, 35, 175, 157, 627, 1045, 1791, 1675, 11699, 2151, 28293, 14529, 30523, 0};
static int joe_kuo_d6_initial_number16195[] = {1, 1, 5, 9, 5, 1, 23, 151, 295, 949, 371, 3317, 2557, 5815, 9699, 48379, 104561, 103747, 0};
static int joe_kuo_d6_initial_number16196[] = {1, 3, 5, 5, 11, 57, 125, 247, 29, 257, 979, 2437, 4391, 8229, 11231, 30145, 111165, 92347, 0};
static int joe_kuo_d6_initial_number16197[] = {1, 1, 3, 3, 27, 17, 71, 71, 357, 367, 1213, 2549, 6049, 15299, 2891, 21839, 109889, 34643, 0};
static int joe_kuo_d6_initial_number16198[] = {1, 1, 1, 11, 7, 21, 41, 77, 249, 567, 1947, 2989, 875, 12975, 23599, 49313, 67213, 98415, 0};
static int joe_kuo_d6_initial_number16199[] = {1, 1, 7, 7, 27, 51, 103, 221, 295, 247, 1579, 2435, 67, 3087, 9421, 59573, 111143, 42363, 0};
static int joe_kuo_d6_initial_number16200[] = {1, 1, 1, 13, 27, 27, 75, 33, 81, 841, 1295, 2823, 997, 16329, 6117, 43361, 63727, 113347, 0};
static int joe_kuo_d6_initial_number16201[] = {1, 1, 1, 3, 19, 7, 43, 93, 397, 293, 803, 3021, 3915, 1417, 22255, 38529, 53737, 133705, 0};
static int joe_kuo_d6_initial_number16202[] = {1, 3, 3, 13, 1, 33, 1, 235, 255, 345, 1621, 315, 2685, 6451, 7133, 239, 103075, 175033, 0};
static int joe_kuo_d6_initial_number16203[] = {1, 3, 1, 11, 29, 47, 61, 115, 395, 633, 1913, 2983, 4581, 3729, 22511, 16479, 80607, 232859, 0};
static int joe_kuo_d6_initial_number16204[] = {1, 3, 7, 7, 27, 25, 29, 121, 511, 533, 1791, 3349, 4915, 8213, 13913, 6595, 2353, 207495, 0};
static int joe_kuo_d6_initial_number16205[] = {1, 3, 7, 5, 21, 25, 77, 189, 473, 1015, 1455, 1923, 3281, 15163, 2329, 58529, 55369, 195007, 0};
static int joe_kuo_d6_initial_number16206[] = {1, 3, 1, 1, 25, 37, 117, 41, 207, 413, 143, 1707, 7463, 15399, 3013, 4141, 37669, 70953, 0};
static int joe_kuo_d6_initial_number16207[] = {1, 3, 5, 3, 31, 61, 41, 157, 141, 387, 1705, 1661, 3607, 6905, 3305, 63235, 7977, 253707, 0};
static int joe_kuo_d6_initial_number16208[] = {1, 1, 5, 11, 29, 15, 61, 127, 417, 795, 171, 415, 7935, 4553, 29979, 21153, 108811, 219959, 0};
static int joe_kuo_d6_initial_number16209[] = {1, 1, 5, 11, 17, 61, 3, 9, 297, 53, 933, 341, 507, 2683, 15313, 24113, 78617, 191127, 0};
static int joe_kuo_d6_initial_number16210[] = {1, 1, 7, 15, 5, 57, 65, 187, 15, 541, 1843, 731, 7331, 2479, 26259, 32685, 125259, 108693, 0};
static int joe_kuo_d6_initial_number16211[] = {1, 1, 7, 7, 11, 15, 33, 183, 225, 609, 1755, 3531, 2767, 6267, 30823, 36797, 59699, 136769, 0};
static int joe_kuo_d6_initial_number16212[] = {1, 3, 5, 13, 15, 19, 77, 239, 307, 691, 1165, 1327, 7901, 9299, 7777, 39151, 96261, 79791, 0};
static int joe_kuo_d6_initial_number16213[] = {1, 1, 3, 5, 29, 31, 85, 109, 381, 243, 955, 193, 3461, 5163, 18607, 51143, 74457, 84685, 0};
static int joe_kuo_d6_initial_number16214[] = {1, 1, 5, 9, 11, 23, 77, 247, 149, 759, 1153, 1781, 4107, 16315, 15513, 48545, 55607, 163947, 0};
static int joe_kuo_d6_initial_number16215[] = {1, 3, 3, 5, 21, 27, 57, 61, 75, 943, 97, 1507, 4091, 671, 23023, 49095, 61649, 222401, 0};
static int joe_kuo_d6_initial_number16216[] = {1, 1, 3, 13, 1, 3, 15, 105, 285, 255, 577, 1347, 2917, 10257, 21607, 63041, 79823, 6447, 0};
static int joe_kuo_d6_initial_number16217[] = {1, 1, 3, 1, 17, 25, 109, 47, 445, 225, 1729, 2835, 4569, 8755, 21847, 25839, 43503, 173599, 0};
static int joe_kuo_d6_initial_number16218[] = {1, 1, 5, 15, 19, 1, 121, 119, 33, 77, 1147, 359, 5747, 2785, 15567, 5409, 125979, 199183, 0};
static int joe_kuo_d6_initial_number16219[] = {1, 3, 1, 9, 17, 45, 85, 83, 427, 223, 531, 1681, 2343, 14959, 27297, 54607, 70889, 45529, 0};
static int joe_kuo_d6_initial_number16220[] = {1, 1, 5, 11, 31, 61, 109, 195, 505, 197, 159, 2799, 4517, 11549, 10297, 17415, 58277, 206577, 0};
static int joe_kuo_d6_initial_number16221[] = {1, 1, 3, 5, 17, 43, 107, 207, 453, 161, 1775, 1287, 5775, 12417, 14201, 48187, 75073, 121099, 0};
static int joe_kuo_d6_initial_number16222[] = {1, 1, 5, 7, 31, 27, 67, 251, 127, 443, 263, 895, 8081, 14053, 32023, 54743, 14723, 221285, 0};
static int joe_kuo_d6_initial_number16223[] = {1, 3, 3, 13, 27, 45, 51, 47, 243, 15, 1283, 2291, 3613, 14733, 8777, 3959, 36769, 104789, 0};
static int joe_kuo_d6_initial_number16224[] = {1, 3, 5, 1, 5, 31, 1, 139, 411, 79, 959, 1431, 2329, 3595, 19231, 55747, 18923, 223709, 0};
static int joe_kuo_d6_initial_number16225[] = {1, 3, 1, 1, 7, 9, 69, 201, 305, 411, 459, 3201, 2525, 6977, 16249, 17777, 114321, 243831, 0};
static int joe_kuo_d6_initial_number16226[] = {1, 3, 3, 5, 13, 7, 3, 27, 201, 279, 1253, 1725, 1481, 8885, 1233, 40699, 7267, 189095, 0};
static int joe_kuo_d6_initial_number16227[] = {1, 3, 5, 5, 31, 61, 53, 231, 93, 597, 2027, 2179, 4517, 565, 27807, 5447, 130341, 10411, 0};
static int joe_kuo_d6_initial_number16228[] = {1, 1, 7, 1, 9, 17, 63, 245, 405, 23, 1647, 285, 6625, 8935, 959, 29095, 657, 185511, 0};
static int joe_kuo_d6_initial_number16229[] = {1, 1, 7, 7, 5, 15, 49, 69, 479, 585, 437, 1097, 5933, 1709, 26169, 36895, 16981, 147033, 0};
static int joe_kuo_d6_initial_number16230[] = {1, 3, 7, 13, 29, 19, 89, 249, 195, 687, 379, 1291, 4791, 9039, 6381, 12965, 99995, 105107, 0};
static int joe_kuo_d6_initial_number16231[] = {1, 1, 5, 7, 13, 49, 101, 217, 205, 635, 577, 3301, 911, 1793, 22285, 20163, 22593, 45701, 0};
static int joe_kuo_d6_initial_number16232[] = {1, 3, 7, 9, 3, 21, 55, 123, 205, 309, 59, 3739, 1625, 839, 26733, 27443, 6699, 244287, 0};
static int joe_kuo_d6_initial_number16233[] = {1, 1, 1, 11, 29, 3, 33, 57, 481, 691, 1401, 3595, 5435, 571, 6945, 10911, 94721, 89751, 0};
static int joe_kuo_d6_initial_number16234[] = {1, 1, 3, 5, 21, 19, 23, 169, 263, 137, 771, 1995, 2211, 6287, 18691, 14219, 65647, 89885, 0};
static int joe_kuo_d6_initial_number16235[] = {1, 1, 3, 7, 7, 53, 9, 155, 327, 325, 301, 3703, 1069, 15573, 14873, 15665, 71617, 5079, 0};
static int joe_kuo_d6_initial_number16236[] = {1, 3, 1, 3, 27, 15, 1, 203, 465, 629, 71, 1093, 2071, 7743, 22441, 42997, 35249, 113329, 0};
static int joe_kuo_d6_initial_number16237[] = {1, 3, 5, 3, 21, 35, 107, 73, 247, 575, 719, 3215, 3181, 5861, 25169, 6503, 12347, 196371, 0};
static int joe_kuo_d6_initial_number16238[] = {1, 3, 1, 3, 7, 29, 117, 115, 221, 345, 165, 1367, 1491, 15791, 12647, 34679, 1043, 219311, 0};
static int joe_kuo_d6_initial_number16239[] = {1, 3, 5, 7, 19, 47, 65, 65, 101, 323, 1209, 3185, 3803, 1077, 18933, 17081, 7475, 165133, 0};
static int joe_kuo_d6_initial_number16240[] = {1, 1, 7, 1, 25, 9, 61, 245, 175, 201, 1837, 2119, 943, 14043, 14343, 46299, 81151, 5587, 0};
static int joe_kuo_d6_initial_number16241[] = {1, 1, 1, 1, 31, 27, 49, 89, 387, 975, 1203, 2995, 2969, 1465, 925, 39611, 38101, 126043, 0};
static int joe_kuo_d6_initial_number16242[] = {1, 3, 7, 13, 21, 17, 45, 139, 359, 11, 335, 79, 6629, 6137, 7879, 62735, 99493, 138943, 0};
static int joe_kuo_d6_initial_number16243[] = {1, 3, 5, 5, 9, 23, 91, 195, 89, 195, 1931, 3855, 387, 3491, 29643, 59939, 32347, 171539, 0};
static int joe_kuo_d6_initial_number16244[] = {1, 3, 3, 15, 21, 55, 5, 13, 139, 125, 1731, 3131, 1927, 16051, 8351, 18625, 32465, 255813, 0};
static int joe_kuo_d6_initial_number16245[] = {1, 3, 7, 11, 21, 45, 53, 225, 33, 733, 115, 639, 4801, 5529, 11041, 3557, 83521, 37525, 0};
static int joe_kuo_d6_initial_number16246[] = {1, 3, 7, 15, 3, 37, 111, 127, 463, 565, 543, 2593, 2203, 5719, 11667, 63735, 16481, 155613, 0};
static int joe_kuo_d6_initial_number16247[] = {1, 1, 3, 13, 31, 1, 17, 53, 479, 629, 1517, 89, 3377, 4831, 9213, 55029, 69547, 52363, 0};
static int joe_kuo_d6_initial_number16248[] = {1, 1, 7, 1, 5, 47, 115, 73, 59, 407, 1227, 2955, 5249, 7921, 4713, 28699, 41455, 1161, 0};
static int joe_kuo_d6_initial_number16249[] = {1, 1, 7, 7, 5, 7, 39, 7, 97, 867, 247, 639, 3125, 14961, 19737, 52589, 59821, 96095, 0};
static int joe_kuo_d6_initial_number16250[] = {1, 1, 7, 5, 11, 51, 63, 245, 385, 1003, 189, 4039, 6137, 3621, 13241, 55753, 14855, 50221, 0};
static int joe_kuo_d6_initial_number16251[] = {1, 3, 5, 3, 9, 61, 83, 209, 301, 917, 259, 187, 6253, 1579, 28285, 16571, 100945, 158067, 0};
static int joe_kuo_d6_initial_number16252[] = {1, 3, 5, 11, 5, 47, 123, 173, 253, 183, 1823, 459, 4719, 13639, 8455, 12217, 88779, 134863, 0};
static int joe_kuo_d6_initial_number16253[] = {1, 1, 1, 5, 1, 45, 43, 163, 371, 427, 1791, 1073, 1615, 14473, 15895, 4971, 105269, 109201, 0};
static int joe_kuo_d6_initial_number16254[] = {1, 3, 1, 15, 11, 9, 99, 99, 25, 21, 1499, 83, 6967, 12923, 13623, 27423, 4707, 477, 0};
static int joe_kuo_d6_initial_number16255[] = {1, 1, 3, 5, 15, 49, 45, 27, 51, 391, 1849, 347, 6841, 2831, 4425, 40701, 61135, 116945, 0};
static int joe_kuo_d6_initial_number16256[] = {1, 1, 3, 7, 21, 23, 15, 223, 403, 395, 1997, 3247, 6345, 11739, 6511, 44323, 86667, 213287, 0};
static int joe_kuo_d6_initial_number16257[] = {1, 3, 7, 11, 31, 21, 75, 129, 427, 777, 1787, 4031, 1493, 2279, 10681, 36675, 25527, 123533, 0};
static int joe_kuo_d6_initial_number16258[] = {1, 3, 5, 15, 9, 5, 117, 147, 259, 265, 1817, 583, 5341, 12115, 2369, 4023, 123479, 218877, 0};
static int joe_kuo_d6_initial_number16259[] = {1, 1, 1, 15, 5, 21, 87, 57, 487, 529, 1129, 2989, 39, 5995, 28779, 35813, 97425, 5227, 0};
static int joe_kuo_d6_initial_number16260[] = {1, 1, 7, 3, 7, 1, 41, 231, 195, 205, 1663, 3149, 4439, 8241, 3085, 43965, 58833, 216779, 0};
static int joe_kuo_d6_initial_number16261[] = {1, 1, 3, 1, 23, 45, 65, 3, 55, 653, 131, 2425, 5653, 9105, 16921, 55221, 29241, 220927, 0};
static int joe_kuo_d6_initial_number16262[] = {1, 3, 1, 3, 5, 47, 107, 49, 175, 957, 1287, 1299, 5215, 4141, 31697, 9371, 43339, 133933, 0};
static int joe_kuo_d6_initial_number16263[] = {1, 3, 1, 7, 13, 55, 33, 163, 361, 793, 101, 2159, 3457, 12893, 11627, 27115, 95201, 2945, 0};
static int joe_kuo_d6_initial_number16264[] = {1, 1, 7, 15, 11, 39, 79, 113, 385, 41, 1715, 3887, 1347, 8141, 6121, 18653, 50867, 55745, 0};
static int joe_kuo_d6_initial_number16265[] = {1, 1, 7, 13, 3, 5, 23, 59, 223, 665, 1823, 2989, 1069, 15161, 8917, 5539, 47437, 240933, 0};
static int joe_kuo_d6_initial_number16266[] = {1, 3, 7, 13, 13, 19, 73, 25, 413, 211, 439, 339, 1159, 16063, 9589, 33451, 28789, 118883, 0};
static int joe_kuo_d6_initial_number16267[] = {1, 1, 5, 11, 13, 61, 81, 63, 197, 569, 961, 253, 2065, 8969, 24045, 52811, 26929, 111329, 0};
static int joe_kuo_d6_initial_number16268[] = {1, 3, 7, 5, 19, 23, 27, 163, 37, 103, 1737, 175, 1853, 597, 14147, 46159, 26385, 69427, 0};
static int joe_kuo_d6_initial_number16269[] = {1, 3, 7, 9, 27, 43, 45, 209, 61, 115, 645, 1149, 1473, 10557, 8541, 51703, 29207, 92059, 0};
static int joe_kuo_d6_initial_number16270[] = {1, 1, 5, 5, 25, 53, 123, 243, 493, 403, 485, 1505, 6879, 1921, 13569, 28271, 24407, 73057, 0};
static int joe_kuo_d6_initial_number16271[] = {1, 1, 3, 11, 15, 31, 99, 29, 503, 819, 55, 773, 2993, 15341, 7625, 12835, 28555, 200609, 0};
static int joe_kuo_d6_initial_number16272[] = {1, 1, 7, 9, 21, 49, 47, 207, 13, 571, 57, 1727, 7441, 1703, 4253, 64851, 113, 180273, 0};
static int joe_kuo_d6_initial_number16273[] = {1, 3, 3, 9, 23, 1, 1, 53, 195, 569, 925, 1969, 3031, 14371, 17673, 39163, 11819, 117573, 0};
static int joe_kuo_d6_initial_number16274[] = {1, 1, 1, 11, 5, 3, 103, 133, 447, 1015, 1049, 3283, 7507, 233, 13721, 50721, 75511, 227561, 0};
static int joe_kuo_d6_initial_number16275[] = {1, 3, 1, 1, 17, 59, 79, 105, 503, 173, 1575, 1563, 5807, 12841, 7983, 28209, 27527, 229919, 0};
static int joe_kuo_d6_initial_number16276[] = {1, 1, 3, 9, 3, 41, 125, 213, 361, 939, 161, 2235, 2575, 13519, 7957, 21527, 40693, 51055, 0};
static int joe_kuo_d6_initial_number16277[] = {1, 3, 7, 11, 11, 7, 117, 21, 7, 745, 1109, 3393, 953, 5163, 19909, 49121, 85061, 209555, 0};
static int joe_kuo_d6_initial_number16278[] = {1, 1, 7, 5, 27, 59, 127, 199, 119, 461, 653, 497, 5867, 767, 16373, 21201, 87589, 171491, 0};
static int joe_kuo_d6_initial_number16279[] = {1, 1, 7, 11, 7, 21, 121, 97, 17, 827, 1191, 113, 6527, 14977, 32567, 15191, 104541, 140359, 0};
static int joe_kuo_d6_initial_number16280[] = {1, 1, 7, 13, 19, 29, 127, 207, 233, 511, 43, 3177, 7963, 5559, 24185, 13373, 37853, 150537, 0};
static int joe_kuo_d6_initial_number16281[] = {1, 3, 3, 9, 15, 17, 119, 201, 443, 51, 17, 605, 4191, 5251, 28903, 4861, 92571, 143499, 0};
static int joe_kuo_d6_initial_number16282[] = {1, 1, 5, 11, 21, 45, 111, 245, 115, 705, 1267, 3013, 7907, 14973, 30499, 44117, 118229, 136571, 0};
static int joe_kuo_d6_initial_number16283[] = {1, 3, 7, 7, 31, 35, 69, 143, 269, 27, 1365, 775, 6067, 11477, 28475, 54573, 92827, 226459, 0};
static int joe_kuo_d6_initial_number16284[] = {1, 1, 5, 1, 1, 29, 41, 189, 423, 245, 1031, 1667, 3465, 1491, 26787, 53851, 26189, 215443, 0};
static int joe_kuo_d6_initial_number16285[] = {1, 3, 3, 5, 23, 29, 97, 141, 135, 249, 767, 3627, 7867, 9311, 25411, 38325, 118643, 128453, 0};
static int joe_kuo_d6_initial_number16286[] = {1, 3, 7, 13, 3, 25, 61, 121, 285, 401, 1099, 2327, 5509, 16127, 2363, 52395, 114233, 216013, 0};
static int joe_kuo_d6_initial_number16287[] = {1, 1, 1, 13, 7, 37, 83, 151, 447, 605, 289, 2941, 6273, 5945, 7493, 29805, 34935, 101177, 0};
static int joe_kuo_d6_initial_number16288[] = {1, 1, 7, 13, 31, 51, 125, 9, 321, 293, 489, 4023, 2425, 7645, 2927, 20973, 111223, 71255, 0};
static int joe_kuo_d6_initial_number16289[] = {1, 1, 7, 3, 27, 9, 59, 143, 307, 543, 1995, 111, 5807, 4641, 3581, 2421, 64213, 187567, 0};
static int joe_kuo_d6_initial_number16290[] = {1, 3, 3, 9, 23, 33, 47, 81, 441, 995, 213, 3501, 1003, 9885, 24101, 58767, 49507, 30525, 0};
static int joe_kuo_d6_initial_number16291[] = {1, 3, 1, 3, 19, 51, 117, 53, 49, 167, 1799, 1421, 2473, 3183, 14421, 58621, 130703, 48095, 0};
static int joe_kuo_d6_initial_number16292[] = {1, 1, 7, 7, 5, 25, 33, 237, 447, 377, 517, 2047, 4357, 2747, 16491, 23935, 21655, 144151, 0};
static int joe_kuo_d6_initial_number16293[] = {1, 1, 7, 7, 17, 5, 57, 67, 89, 897, 1163, 3517, 1651, 6745, 23449, 2853, 43829, 50707, 0};
static int joe_kuo_d6_initial_number16294[] = {1, 1, 1, 13, 5, 45, 87, 139, 339, 1021, 649, 2957, 7887, 11957, 11235, 11063, 77329, 93121, 0};
static int joe_kuo_d6_initial_number16295[] = {1, 1, 1, 7, 11, 35, 73, 241, 11, 287, 551, 207, 4701, 2031, 27191, 44337, 35577, 226387, 0};
static int joe_kuo_d6_initial_number16296[] = {1, 3, 5, 11, 19, 3, 41, 211, 29, 913, 1455, 2525, 3935, 5581, 8043, 12033, 97479, 73521, 0};
static int joe_kuo_d6_initial_number16297[] = {1, 3, 5, 7, 15, 49, 53, 185, 229, 161, 121, 3407, 903, 7257, 19535, 42197, 3983, 222077, 0};
static int joe_kuo_d6_initial_number16298[] = {1, 1, 5, 7, 17, 33, 61, 121, 343, 111, 151, 1147, 3743, 2423, 24151, 42307, 50711, 140317, 0};
static int joe_kuo_d6_initial_number16299[] = {1, 3, 3, 7, 27, 1, 119, 209, 243, 185, 1253, 2307, 7659, 7839, 9697, 16799, 5189, 130005, 0};
static int joe_kuo_d6_initial_number16300[] = {1, 3, 3, 1, 27, 21, 115, 175, 157, 735, 1233, 1133, 1763, 1125, 4667, 42569, 125185, 218417, 0};
static int joe_kuo_d6_initial_number16301[] = {1, 3, 5, 9, 5, 37, 97, 165, 87, 447, 1491, 3141, 597, 10651, 9727, 65163, 2469, 141859, 0};
static int joe_kuo_d6_initial_number16302[] = {1, 1, 5, 13, 11, 53, 111, 123, 423, 413, 1519, 3715, 6623, 15415, 24085, 20925, 1529, 85183, 0};
static int joe_kuo_d6_initial_number16303[] = {1, 3, 7, 1, 31, 45, 93, 45, 363, 779, 443, 3687, 6051, 11683, 31733, 57251, 55087, 240877, 0};
static int joe_kuo_d6_initial_number16304[] = {1, 1, 1, 15, 1, 17, 53, 237, 131, 673, 1919, 1531, 7455, 5043, 1709, 23375, 75657, 194393, 0};
static int joe_kuo_d6_initial_number16305[] = {1, 3, 5, 9, 21, 3, 101, 141, 387, 887, 1329, 2627, 2865, 2685, 20273, 18901, 43805, 181049, 0};
static int joe_kuo_d6_initial_number16306[] = {1, 3, 5, 5, 7, 49, 55, 243, 311, 653, 959, 3157, 4891, 8777, 14381, 28105, 119323, 181129, 0};
static int joe_kuo_d6_initial_number16307[] = {1, 1, 1, 9, 17, 33, 97, 123, 71, 5, 793, 2829, 4385, 8577, 9927, 26213, 53287, 203555, 0};
static int joe_kuo_d6_initial_number16308[] = {1, 1, 1, 9, 15, 61, 51, 31, 195, 1003, 1915, 2349, 5319, 13411, 15265, 36321, 76157, 200437, 0};
static int joe_kuo_d6_initial_number16309[] = {1, 3, 1, 13, 19, 41, 11, 227, 447, 395, 1885, 2953, 3537, 3855, 21611, 14547, 106573, 233205, 0};
static int joe_kuo_d6_initial_number16310[] = {1, 3, 1, 11, 1, 1, 7, 61, 69, 631, 1687, 1131, 6901, 5801, 14431, 17807, 35777, 253941, 0};
static int joe_kuo_d6_initial_number16311[] = {1, 3, 5, 9, 15, 47, 71, 145, 419, 401, 1781, 2031, 3157, 14483, 2393, 4061, 122053, 81701, 0};
static int joe_kuo_d6_initial_number16312[] = {1, 3, 7, 13, 23, 21, 67, 147, 137, 277, 259, 3119, 4785, 5349, 3193, 21805, 108265, 231111, 0};
static int joe_kuo_d6_initial_number16313[] = {1, 1, 3, 9, 23, 63, 77, 153, 75, 643, 1341, 3607, 6001, 3387, 17485, 17893, 124699, 99515, 0};
static int joe_kuo_d6_initial_number16314[] = {1, 1, 7, 11, 9, 51, 79, 255, 255, 723, 1797, 2805, 2505, 3437, 4835, 30731, 73741, 8051, 0};
static int joe_kuo_d6_initial_number16315[] = {1, 1, 5, 7, 5, 19, 73, 75, 19, 889, 1443, 2263, 5773, 9997, 329, 46679, 82313, 130897, 0};
static int joe_kuo_d6_initial_number16316[] = {1, 3, 3, 9, 7, 53, 69, 11, 287, 861, 1367, 1433, 2693, 16255, 6785, 24705, 77463, 231247, 0};
static int joe_kuo_d6_initial_number16317[] = {1, 1, 3, 7, 21, 15, 115, 131, 169, 447, 1731, 2873, 119, 643, 31719, 22193, 17959, 150567, 0};
static int joe_kuo_d6_initial_number16318[] = {1, 3, 3, 9, 23, 21, 7, 39, 185, 837, 379, 3687, 3751, 14801, 15231, 7239, 77521, 80135, 0};
static int joe_kuo_d6_initial_number16319[] = {1, 1, 1, 1, 7, 33, 93, 247, 487, 873, 1951, 3273, 551, 3735, 29477, 62387, 30361, 145613, 0};
static int joe_kuo_d6_initial_number16320[] = {1, 1, 3, 7, 5, 47, 17, 31, 93, 517, 1175, 1033, 7421, 75, 541, 1967, 13059, 104751, 0};
static int joe_kuo_d6_initial_number16321[] = {1, 3, 5, 3, 19, 23, 123, 115, 99, 747, 655, 2885, 2991, 7497, 5989, 33419, 54363, 224947, 0};
static int joe_kuo_d6_initial_number16322[] = {1, 3, 3, 1, 15, 9, 51, 3, 307, 879, 1065, 1835, 2267, 11299, 21995, 2997, 102207, 39, 0};
static int joe_kuo_d6_initial_number16323[] = {1, 3, 5, 3, 9, 19, 19, 79, 499, 121, 951, 1151, 379, 5299, 13727, 49061, 32605, 208683, 0};
static int joe_kuo_d6_initial_number16324[] = {1, 3, 7, 7, 23, 41, 71, 23, 493, 969, 271, 3729, 6199, 14693, 17625, 52509, 121257, 151175, 0};
static int joe_kuo_d6_initial_number16325[] = {1, 1, 7, 15, 9, 51, 61, 9, 147, 527, 803, 3255, 723, 3241, 23961, 17497, 122569, 50863, 0};
static int joe_kuo_d6_initial_number16326[] = {1, 3, 5, 1, 19, 19, 31, 31, 95, 667, 377, 1193, 6759, 8583, 29801, 7989, 113899, 43481, 0};
static int joe_kuo_d6_initial_number16327[] = {1, 3, 7, 5, 17, 47, 1, 7, 305, 489, 1035, 1335, 5901, 9635, 10433, 4235, 108577, 52661, 0};
static int joe_kuo_d6_initial_number16328[] = {1, 1, 7, 3, 15, 7, 105, 189, 429, 287, 679, 111, 2087, 8479, 3053, 21763, 65655, 16207, 0};
static int joe_kuo_d6_initial_number16329[] = {1, 3, 5, 13, 19, 41, 45, 115, 311, 653, 1301, 3797, 6183, 7203, 9829, 13263, 71649, 255611, 0};
static int joe_kuo_d6_initial_number16330[] = {1, 3, 1, 9, 21, 33, 19, 233, 83, 423, 1701, 347, 3999, 11885, 19699, 61931, 63895, 59615, 0};
static int joe_kuo_d6_initial_number16331[] = {1, 1, 7, 7, 15, 19, 61, 43, 183, 223, 1135, 3099, 3137, 16181, 31019, 20151, 30169, 13125, 0};
static int joe_kuo_d6_initial_number16332[] = {1, 1, 1, 11, 9, 11, 3, 157, 495, 207, 603, 1919, 3565, 7639, 4281, 49179, 2465, 224033, 0};
static int joe_kuo_d6_initial_number16333[] = {1, 3, 1, 13, 13, 19, 127, 81, 475, 659, 1053, 3153, 5223, 12567, 30945, 47109, 98253, 41571, 0};
static int joe_kuo_d6_initial_number16334[] = {1, 1, 5, 11, 19, 1, 9, 67, 501, 149, 1695, 1265, 6467, 5285, 29865, 46777, 97581, 209395, 0};
static int joe_kuo_d6_initial_number16335[] = {1, 1, 1, 11, 21, 23, 123, 103, 419, 787, 111, 3327, 673, 3425, 8097, 2411, 107353, 121379, 0};
static int joe_kuo_d6_initial_number16336[] = {1, 1, 3, 3, 17, 7, 87, 35, 501, 973, 351, 751, 4813, 12245, 3053, 38633, 44995, 37151, 0};
static int joe_kuo_d6_initial_number16337[] = {1, 3, 5, 15, 7, 57, 99, 53, 3, 355, 153, 3897, 6923, 2075, 10821, 41819, 75665, 21237, 0};
static int joe_kuo_d6_initial_number16338[] = {1, 3, 5, 9, 3, 29, 85, 115, 191, 977, 1067, 1539, 5287, 3589, 18017, 35571, 41633, 148565, 0};
static int joe_kuo_d6_initial_number16339[] = {1, 1, 3, 9, 9, 57, 1, 63, 333, 107, 1173, 3377, 3599, 277, 20643, 19295, 91169, 168891, 0};
static int joe_kuo_d6_initial_number16340[] = {1, 1, 5, 13, 21, 7, 55, 15, 79, 995, 1553, 949, 6357, 8137, 9539, 861, 95635, 63021, 0};
static int joe_kuo_d6_initial_number16341[] = {1, 1, 5, 13, 31, 59, 11, 55, 159, 449, 307, 2725, 2305, 8259, 13823, 51225, 44775, 54253, 0};
static int joe_kuo_d6_initial_number16342[] = {1, 3, 3, 15, 19, 61, 105, 19, 211, 693, 835, 3607, 3703, 14007, 24597, 47109, 49855, 166115, 0};
static int joe_kuo_d6_initial_number16343[] = {1, 3, 1, 9, 27, 33, 81, 229, 445, 171, 247, 2019, 5227, 8759, 30155, 1851, 26909, 47145, 0};
static int joe_kuo_d6_initial_number16344[] = {1, 1, 3, 5, 23, 1, 57, 49, 177, 451, 1283, 3859, 4719, 13507, 29439, 9155, 129585, 94713, 0};
static int joe_kuo_d6_initial_number16345[] = {1, 3, 3, 5, 1, 9, 37, 23, 423, 611, 113, 119, 4307, 11747, 93, 51213, 5479, 172061, 0};
static int joe_kuo_d6_initial_number16346[] = {1, 3, 3, 15, 5, 35, 9, 43, 423, 877, 1563, 3411, 4233, 6961, 22421, 7347, 39553, 199745, 0};
static int joe_kuo_d6_initial_number16347[] = {1, 3, 1, 9, 15, 35, 85, 57, 151, 323, 1627, 27, 3603, 11475, 6561, 6091, 72099, 185321, 0};
static int joe_kuo_d6_initial_number16348[] = {1, 1, 3, 15, 17, 21, 3, 119, 455, 147, 1077, 3955, 1355, 3083, 28217, 50745, 114445, 46563, 0};
static int joe_kuo_d6_initial_number16349[] = {1, 1, 5, 3, 13, 11, 35, 185, 357, 447, 649, 139, 2847, 12011, 7753, 671, 113693, 236281, 0};
static int joe_kuo_d6_initial_number16350[] = {1, 3, 5, 1, 19, 27, 117, 195, 67, 259, 1073, 81, 5527, 6829, 26675, 60029, 8159, 13553, 0};
static int joe_kuo_d6_initial_number16351[] = {1, 3, 3, 7, 27, 63, 115, 191, 431, 191, 1547, 2261, 6527, 13459, 12773, 37485, 114847, 61709, 0};
static int joe_kuo_d6_initial_number16352[] = {1, 1, 3, 1, 29, 63, 47, 77, 415, 191, 325, 2487, 7457, 13721, 1573, 15037, 31941, 226651, 0};
static int joe_kuo_d6_initial_number16353[] = {1, 1, 5, 11, 29, 59, 49, 209, 195, 901, 691, 3167, 7471, 11609, 30135, 22067, 71395, 248151, 0};
static int joe_kuo_d6_initial_number16354[] = {1, 3, 7, 11, 7, 43, 55, 69, 289, 735, 1479, 139, 1395, 6463, 19827, 52151, 18963, 103367, 0};
static int joe_kuo_d6_initial_number16355[] = {1, 3, 5, 5, 27, 45, 77, 79, 89, 79, 913, 1437, 3337, 8861, 5477, 46195, 105869, 242599, 0};
static int joe_kuo_d6_initial_number16356[] = {1, 3, 5, 3, 3, 27, 103, 207, 233, 995, 1173, 1143, 3517, 3207, 8373, 45145, 79687, 150107, 0};
static int joe_kuo_d6_initial_number16357[] = {1, 3, 7, 3, 7, 37, 1, 137, 45, 479, 861, 3863, 4249, 3075, 23639, 12531, 118473, 255805, 0};
static int joe_kuo_d6_initial_number16358[] = {1, 1, 1, 9, 7, 23, 125, 57, 347, 215, 1749, 3029, 97, 14715, 16213, 29291, 104725, 92043, 0};
static int joe_kuo_d6_initial_number16359[] = {1, 3, 3, 15, 31, 39, 111, 97, 369, 675, 1471, 3889, 6437, 1499, 13325, 46141, 121087, 202493, 0};
static int joe_kuo_d6_initial_number16360[] = {1, 1, 1, 15, 15, 21, 3, 167, 251, 793, 1291, 427, 6407, 15521, 15441, 20071, 54513, 200485, 0};
static int joe_kuo_d6_initial_number16361[] = {1, 1, 7, 11, 27, 47, 123, 195, 241, 385, 609, 2323, 1221, 815, 279, 28553, 17663, 180977, 0};
static int joe_kuo_d6_initial_number16362[] = {1, 1, 3, 15, 23, 53, 21, 19, 329, 903, 561, 1539, 2829, 13037, 29867, 27825, 84005, 14853, 0};
static int joe_kuo_d6_initial_number16363[] = {1, 1, 5, 1, 21, 27, 103, 99, 31, 829, 515, 3949, 3635, 935, 2127, 56659, 123477, 47003, 0};
static int joe_kuo_d6_initial_number16364[] = {1, 3, 1, 11, 17, 63, 51, 15, 319, 539, 55, 2561, 1109, 16115, 23387, 20051, 120867, 4019, 0};
static int joe_kuo_d6_initial_number16365[] = {1, 3, 3, 7, 31, 11, 45, 251, 209, 21, 553, 887, 393, 15183, 14735, 13163, 123681, 15013, 0};
static int joe_kuo_d6_initial_number16366[] = {1, 3, 1, 7, 21, 41, 105, 39, 213, 477, 985, 2375, 937, 7099, 8867, 36519, 60503, 143225, 0};
static int joe_kuo_d6_initial_number16367[] = {1, 3, 1, 1, 19, 55, 73, 171, 379, 271, 791, 2477, 5381, 1703, 3805, 37227, 55553, 34549, 0};
static int joe_kuo_d6_initial_number16368[] = {1, 1, 5, 5, 29, 51, 127, 111, 209, 663, 975, 2293, 8155, 11263, 7891, 15463, 74889, 227403, 0};
static int joe_kuo_d6_initial_number16369[] = {1, 3, 5, 1, 15, 1, 115, 221, 23, 247, 1597, 87, 7513, 3329, 14491, 8961, 78147, 89499, 0};
static int joe_kuo_d6_initial_number16370[] = {1, 3, 5, 15, 25, 23, 99, 85, 189, 487, 1559, 427, 6179, 5291, 27279, 65507, 77347, 177073, 0};
static int joe_kuo_d6_initial_number16371[] = {1, 3, 7, 1, 23, 35, 7, 89, 455, 659, 2039, 3115, 4057, 139, 1269, 62319, 13629, 201571, 0};
static int joe_kuo_d6_initial_number16372[] = {1, 1, 1, 5, 9, 47, 55, 171, 213, 813, 135, 1545, 1421, 4055, 26697, 18889, 57653, 201369, 0};
static int joe_kuo_d6_initial_number16373[] = {1, 3, 1, 11, 9, 45, 5, 69, 261, 907, 1229, 1371, 1867, 1771, 17309, 41759, 119129, 43521, 0};
static int joe_kuo_d6_initial_number16374[] = {1, 1, 7, 5, 11, 27, 9, 237, 405, 53, 1359, 3665, 169, 3547, 23331, 14353, 106627, 219711, 0};
static int joe_kuo_d6_initial_number16375[] = {1, 3, 3, 5, 17, 23, 9, 41, 81, 601, 1447, 3225, 6721, 161, 16109, 54331, 111273, 81061, 0};
static int joe_kuo_d6_initial_number16376[] = {1, 1, 5, 7, 7, 37, 71, 13, 505, 671, 425, 2771, 1131, 1259, 13715, 45779, 114839, 217499, 0};
static int joe_kuo_d6_initial_number16377[] = {1, 1, 1, 5, 9, 51, 85, 223, 117, 403, 1117, 723, 2465, 11947, 7495, 62991, 17825, 169147, 0};
static int joe_kuo_d6_initial_number16378[] = {1, 1, 3, 13, 5, 57, 47, 35, 313, 901, 365, 1265, 137, 6335, 31419, 38497, 93285, 177187, 0};
static int joe_kuo_d6_initial_number16379[] = {1, 3, 5, 5, 7, 9, 21, 109, 47, 557, 1449, 3459, 5175, 5135, 727, 55425, 60593, 86571, 0};
static int joe_kuo_d6_initial_number16380[] = {1, 3, 7, 5, 1, 17, 119, 239, 347, 75, 1345, 2765, 1491, 16297, 25233, 60401, 85433, 59287, 0};
static int joe_kuo_d6_initial_number16381[] = {1, 1, 5, 5, 19, 57, 41, 53, 161, 475, 1791, 3617, 1651, 15227, 30357, 63547, 69937, 246473, 0};
static int joe_kuo_d6_initial_number16382[] = {1, 3, 7, 11, 11, 43, 79, 79, 195, 437, 39, 1259, 6041, 14989, 6615, 58747, 43583, 246979, 0};
static int joe_kuo_d6_initial_number16383[] = {1, 1, 7, 9, 11, 13, 49, 133, 365, 931, 1089, 713, 5997, 8759, 5789, 61329, 22639, 149845, 0};
static int joe_kuo_d6_initial_number16384[] = {1, 3, 7, 13, 9, 3, 11, 253, 339, 883, 1933, 443, 4265, 14165, 15845, 12625, 1453, 70961, 0};
static int joe_kuo_d6_initial_number16385[] = {1, 1, 7, 13, 21, 35, 113, 83, 473, 719, 1601, 1727, 3715, 631, 28075, 17725, 11393, 116883, 0};
static int joe_kuo_d6_initial_number16386[] = {1, 3, 7, 7, 7, 13, 117, 83, 365, 529, 1297, 3903, 2633, 9617, 15819, 38137, 49065, 189445, 0};
static int joe_kuo_d6_initial_number16387[] = {1, 1, 1, 7, 11, 41, 107, 33, 381, 395, 1993, 2819, 3301, 7543, 6787, 27437, 113681, 132403, 0};
static int joe_kuo_d6_initial_number16388[] = {1, 1, 1, 1, 3, 59, 91, 235, 67, 987, 1587, 1119, 5851, 13201, 1125, 49709, 381, 183295, 0};
static int joe_kuo_d6_initial_number16389[] = {1, 3, 5, 9, 3, 33, 45, 187, 455, 151, 823, 565, 5725, 1927, 25387, 61785, 130271, 134083, 0};
static int joe_kuo_d6_initial_number16390[] = {1, 1, 7, 5, 15, 25, 63, 231, 133, 401, 307, 2961, 4249, 2639, 10207, 8349, 8203, 72783, 0};
static int joe_kuo_d6_initial_number16391[] = {1, 1, 5, 13, 19, 27, 43, 153, 165, 815, 1385, 3041, 853, 7683, 1035, 13255, 69779, 128765, 0};
static int joe_kuo_d6_initial_number16392[] = {1, 1, 1, 3, 31, 61, 97, 15, 327, 717, 841, 643, 4781, 11609, 14181, 14625, 75369, 251015, 0};
static int joe_kuo_d6_initial_number16393[] = {1, 1, 5, 11, 17, 33, 9, 45, 111, 91, 1923, 967, 5649, 13647, 30497, 2925, 18395, 255089, 0};
static int joe_kuo_d6_initial_number16394[] = {1, 3, 3, 1, 3, 55, 33, 29, 101, 211, 1731, 2351, 7389, 14935, 29703, 60031, 122305, 174323, 0};
static int joe_kuo_d6_initial_number16395[] = {1, 1, 1, 3, 13, 23, 79, 117, 367, 267, 143, 1537, 3159, 2303, 9653, 12029, 2841, 226971, 0};
static int joe_kuo_d6_initial_number16396[] = {1, 1, 1, 13, 19, 57, 103, 159, 315, 895, 1879, 2153, 1901, 7635, 14145, 56495, 6203, 151203, 0};
static int joe_kuo_d6_initial_number16397[] = {1, 3, 3, 11, 31, 11, 75, 5, 419, 963, 1809, 3751, 7291, 12697, 2841, 17965, 91707, 80361, 0};
static int joe_kuo_d6_initial_number16398[] = {1, 1, 7, 7, 5, 23, 29, 199, 413, 501, 19, 697, 6523, 3997, 4945, 59817, 127613, 220399, 0};
static int joe_kuo_d6_initial_number16399[] = {1, 1, 7, 5, 1, 17, 51, 9, 183, 689, 325, 2391, 2095, 1907, 10325, 51045, 20097, 33719, 0};
static int joe_kuo_d6_initial_number16400[] = {1, 3, 5, 11, 3, 33, 45, 221, 325, 7, 253, 1323, 4959, 14067, 10035, 39463, 123171, 194581, 0};
static int joe_kuo_d6_initial_number16401[] = {1, 1, 3, 3, 15, 45, 25, 57, 357, 907, 1249, 3279, 2631, 9209, 7857, 58233, 29049, 173859, 0};
static int joe_kuo_d6_initial_number16402[] = {1, 3, 3, 9, 29, 39, 105, 55, 295, 583, 825, 1777, 2403, 9489, 9079, 24855, 18155, 252733, 0};
static int joe_kuo_d6_initial_number16403[] = {1, 1, 5, 15, 5, 63, 77, 215, 287, 743, 1937, 2103, 2673, 15487, 27855, 46683, 120215, 89721, 0};
static int joe_kuo_d6_initial_number16404[] = {1, 3, 3, 5, 27, 1, 45, 19, 309, 679, 1405, 415, 6107, 13567, 5803, 61941, 130285, 51847, 0};
static int joe_kuo_d6_initial_number16405[] = {1, 3, 1, 15, 23, 49, 47, 113, 401, 825, 1299, 2711, 6509, 12225, 16147, 20615, 121305, 121937, 0};
static int joe_kuo_d6_initial_number16406[] = {1, 3, 5, 5, 31, 41, 31, 57, 385, 919, 593, 1371, 6773, 12099, 23767, 17663, 128321, 188921, 0};
static int joe_kuo_d6_initial_number16407[] = {1, 1, 3, 15, 5, 41, 17, 7, 479, 143, 549, 1827, 8107, 14775, 28817, 12297, 119893, 191297, 0};
static int joe_kuo_d6_initial_number16408[] = {1, 3, 7, 5, 29, 61, 27, 123, 269, 223, 121, 1745, 3513, 1989, 9759, 8129, 78933, 40085, 0};
static int joe_kuo_d6_initial_number16409[] = {1, 1, 5, 13, 23, 49, 125, 225, 479, 123, 41, 2359, 4443, 4729, 31717, 3139, 3869, 118803, 0};
static int joe_kuo_d6_initial_number16410[] = {1, 3, 3, 3, 15, 7, 7, 87, 415, 95, 1799, 2009, 4711, 15635, 21997, 47201, 16815, 99815, 0};
static int joe_kuo_d6_initial_number16411[] = {1, 3, 3, 1, 31, 57, 73, 31, 423, 363, 1469, 2411, 6449, 15275, 14189, 51079, 130201, 130181, 0};
static int joe_kuo_d6_initial_number16412[] = {1, 1, 5, 3, 3, 31, 107, 11, 355, 647, 1463, 3019, 3263, 13727, 10461, 26577, 4439, 132737, 0};
static int joe_kuo_d6_initial_number16413[] = {1, 1, 1, 7, 13, 55, 31, 227, 71, 563, 1467, 3733, 725, 3443, 19279, 4111, 35749, 62275, 0};
static int joe_kuo_d6_initial_number16414[] = {1, 3, 3, 15, 9, 17, 61, 95, 43, 583, 1381, 1285, 2655, 9213, 27551, 16237, 29569, 216879, 0};
static int joe_kuo_d6_initial_number16415[] = {1, 1, 1, 3, 29, 3, 87, 193, 53, 599, 1581, 907, 4381, 8697, 27299, 40259, 122653, 43559, 0};
static int joe_kuo_d6_initial_number16416[] = {1, 3, 5, 3, 15, 49, 21, 27, 35, 353, 1281, 3253, 7339, 9333, 25253, 35035, 30379, 87387, 0};
static int joe_kuo_d6_initial_number16417[] = {1, 1, 1, 15, 7, 27, 69, 41, 45, 729, 1005, 3495, 1445, 7421, 27443, 29609, 70105, 93883, 0};
static int joe_kuo_d6_initial_number16418[] = {1, 1, 7, 7, 1, 41, 15, 149, 107, 121, 639, 3703, 3397, 1727, 14165, 2845, 78531, 175767, 0};
static int joe_kuo_d6_initial_number16419[] = {1, 3, 7, 15, 27, 17, 121, 175, 399, 551, 1889, 2283, 4343, 3633, 653, 3267, 101901, 162157, 0};
static int joe_kuo_d6_initial_number16420[] = {1, 3, 3, 15, 23, 41, 97, 251, 435, 955, 69, 509, 8001, 11783, 7397, 7587, 127089, 15391, 0};
static int joe_kuo_d6_initial_number16421[] = {1, 3, 5, 5, 25, 25, 63, 25, 203, 655, 2039, 2545, 5405, 1377, 30543, 65531, 122825, 6853, 0};
static int joe_kuo_d6_initial_number16422[] = {1, 1, 7, 9, 9, 43, 73, 195, 465, 497, 1085, 3821, 7115, 7513, 21913, 32499, 96467, 181905, 0};
static int joe_kuo_d6_initial_number16423[] = {1, 1, 3, 7, 29, 29, 63, 131, 409, 423, 687, 2549, 7367, 6867, 2685, 29137, 61845, 194409, 0};
static int joe_kuo_d6_initial_number16424[] = {1, 3, 7, 7, 3, 23, 47, 31, 121, 629, 1771, 2387, 861, 2269, 29565, 19599, 18051, 121531, 0};
static int joe_kuo_d6_initial_number16425[] = {1, 1, 1, 3, 21, 13, 109, 105, 163, 433, 521, 3467, 6225, 3705, 30605, 3265, 119313, 2535, 0};
static int joe_kuo_d6_initial_number16426[] = {1, 3, 5, 3, 25, 25, 89, 177, 415, 67, 361, 3317, 6411, 4857, 23249, 41959, 59931, 35797, 0};
static int joe_kuo_d6_initial_number16427[] = {1, 3, 7, 15, 5, 37, 37, 65, 71, 13, 1621, 2217, 3723, 2113, 23755, 46521, 48091, 44307, 0};
static int joe_kuo_d6_initial_number16428[] = {1, 1, 5, 13, 5, 5, 63, 75, 61, 443, 1663, 3239, 7717, 2623, 5723, 42673, 8519, 58773, 0};
static int joe_kuo_d6_initial_number16429[] = {1, 1, 3, 1, 29, 13, 35, 61, 391, 517, 1007, 17, 2519, 7121, 20095, 33449, 21397, 103787, 0};
static int joe_kuo_d6_initial_number16430[] = {1, 1, 5, 1, 9, 45, 49, 151, 39, 347, 1821, 2687, 1551, 12117, 29429, 40963, 77795, 20941, 0};
static int joe_kuo_d6_initial_number16431[] = {1, 1, 5, 3, 13, 49, 107, 105, 201, 601, 1335, 2389, 6837, 11123, 22985, 62705, 59057, 128333, 0};
static int joe_kuo_d6_initial_number16432[] = {1, 3, 3, 13, 5, 3, 21, 103, 481, 621, 2037, 2963, 425, 4685, 27475, 24363, 116419, 171743, 0};
static int joe_kuo_d6_initial_number16433[] = {1, 3, 3, 5, 27, 27, 5, 91, 245, 421, 795, 1869, 6455, 4463, 23467, 24039, 69681, 262127, 0};
static int joe_kuo_d6_initial_number16434[] = {1, 3, 1, 11, 11, 5, 31, 253, 469, 593, 877, 2041, 4615, 1541, 11823, 58525, 128689, 95985, 0};
static int joe_kuo_d6_initial_number16435[] = {1, 3, 5, 13, 31, 35, 115, 73, 97, 213, 1499, 1371, 4239, 7897, 3987, 4833, 115043, 222743, 0};
static int joe_kuo_d6_initial_number16436[] = {1, 3, 3, 5, 31, 15, 17, 233, 137, 521, 1721, 1913, 1881, 13457, 10733, 61527, 19825, 192601, 0};
static int joe_kuo_d6_initial_number16437[] = {1, 3, 1, 3, 11, 21, 81, 77, 377, 915, 321, 3925, 867, 5491, 4707, 37307, 52141, 29155, 0};
static int joe_kuo_d6_initial_number16438[] = {1, 1, 5, 1, 13, 51, 97, 161, 295, 159, 1717, 3817, 4687, 1907, 2655, 60577, 73867, 161851, 0};
static int joe_kuo_d6_initial_number16439[] = {1, 1, 3, 13, 21, 31, 33, 145, 375, 377, 1429, 1981, 4851, 9047, 2685, 49037, 67399, 124243, 0};
static int joe_kuo_d6_initial_number16440[] = {1, 1, 7, 13, 1, 55, 65, 147, 471, 277, 1585, 3949, 1885, 1635, 15687, 46367, 120931, 192097, 0};
static int joe_kuo_d6_initial_number16441[] = {1, 1, 7, 9, 13, 27, 33, 41, 377, 863, 1297, 181, 2685, 11285, 3961, 63201, 59757, 70231, 0};
static int joe_kuo_d6_initial_number16442[] = {1, 1, 3, 15, 29, 3, 79, 25, 147, 683, 1563, 805, 5891, 3355, 20113, 48261, 38195, 14589, 0};
static int joe_kuo_d6_initial_number16443[] = {1, 1, 7, 11, 9, 15, 21, 33, 47, 923, 1291, 4001, 203, 305, 21575, 41915, 74769, 114921, 0};
static int joe_kuo_d6_initial_number16444[] = {1, 3, 7, 11, 15, 1, 75, 173, 473, 493, 291, 811, 931, 10731, 9855, 57891, 81575, 250565, 0};
static int joe_kuo_d6_initial_number16445[] = {1, 3, 3, 3, 31, 31, 71, 141, 389, 661, 71, 3245, 6827, 9219, 26607, 50511, 94783, 130785, 0};
static int joe_kuo_d6_initial_number16446[] = {1, 1, 7, 3, 9, 15, 67, 141, 293, 779, 3, 3311, 7063, 13709, 29715, 55227, 11043, 150343, 0};
static int joe_kuo_d6_initial_number16447[] = {1, 3, 3, 3, 21, 9, 45, 111, 207, 715, 345, 1345, 3079, 3851, 23709, 33919, 108213, 25353, 0};
static int joe_kuo_d6_initial_number16448[] = {1, 3, 5, 13, 7, 3, 35, 95, 397, 397, 1159, 2759, 5233, 16237, 12469, 29543, 39133, 64429, 0};
static int joe_kuo_d6_initial_number16449[] = {1, 1, 5, 13, 19, 35, 9, 7, 153, 843, 2025, 1379, 3361, 15889, 7411, 26399, 106295, 19851, 0};
static int joe_kuo_d6_initial_number16450[] = {1, 3, 1, 1, 21, 15, 71, 143, 279, 431, 487, 967, 4445, 11969, 16671, 48891, 59605, 230607, 0};
static int joe_kuo_d6_initial_number16451[] = {1, 3, 5, 1, 25, 63, 23, 143, 221, 805, 377, 1441, 1971, 1985, 10055, 35991, 115873, 223455, 0};
static int joe_kuo_d6_initial_number16452[] = {1, 3, 1, 7, 21, 57, 1, 185, 117, 75, 1623, 3805, 2385, 10245, 29009, 59149, 130219, 114763, 0};
static int joe_kuo_d6_initial_number16453[] = {1, 3, 1, 13, 19, 13, 105, 241, 47, 597, 1725, 2579, 3785, 1667, 12427, 62623, 60883, 189977, 0};
static int joe_kuo_d6_initial_number16454[] = {1, 3, 5, 13, 1, 55, 59, 133, 263, 415, 1013, 139, 3037, 13661, 15303, 27279, 84095, 184807, 0};
static int joe_kuo_d6_initial_number16455[] = {1, 3, 1, 11, 7, 45, 3, 179, 315, 639, 875, 3299, 5221, 8463, 17507, 59673, 73865, 98867, 0};
static int joe_kuo_d6_initial_number16456[] = {1, 3, 7, 7, 3, 3, 53, 233, 219, 519, 585, 3029, 3623, 9559, 2251, 43735, 121513, 208007, 0};
static int joe_kuo_d6_initial_number16457[] = {1, 3, 1, 3, 17, 47, 47, 145, 445, 541, 163, 2653, 165, 7213, 3311, 57335, 43967, 191841, 0};
static int joe_kuo_d6_initial_number16458[] = {1, 3, 5, 5, 7, 47, 39, 119, 13, 727, 887, 3743, 3807, 15267, 3977, 52833, 14851, 61851, 0};
static int joe_kuo_d6_initial_number16459[] = {1, 1, 3, 5, 9, 9, 107, 119, 501, 723, 1965, 3093, 6947, 1783, 11287, 24243, 14005, 106677, 0};
static int joe_kuo_d6_initial_number16460[] = {1, 3, 3, 11, 11, 29, 85, 243, 359, 195, 221, 1767, 6969, 15275, 20853, 26921, 40903, 29849, 0};
static int joe_kuo_d6_initial_number16461[] = {1, 3, 1, 5, 31, 3, 11, 247, 371, 339, 1263, 119, 791, 7425, 18879, 11333, 34359, 178929, 0};
static int joe_kuo_d6_initial_number16462[] = {1, 1, 3, 7, 23, 15, 121, 203, 441, 499, 779, 1971, 339, 8737, 6859, 32417, 97073, 256143, 0};
static int joe_kuo_d6_initial_number16463[] = {1, 1, 5, 11, 3, 23, 25, 51, 407, 677, 97, 281, 427, 3671, 7939, 54485, 3967, 210199, 0};
static int joe_kuo_d6_initial_number16464[] = {1, 1, 5, 9, 5, 45, 23, 171, 255, 967, 313, 3881, 6039, 10545, 3591, 51985, 37145, 99291, 0};
static int joe_kuo_d6_initial_number16465[] = {1, 1, 5, 7, 3, 13, 55, 147, 83, 369, 1707, 1919, 491, 11507, 29559, 29169, 65897, 80587, 0};
static int joe_kuo_d6_initial_number16466[] = {1, 1, 3, 13, 31, 41, 41, 237, 245, 109, 969, 1797, 8169, 6351, 3657, 9655, 109201, 245117, 0};
static int joe_kuo_d6_initial_number16467[] = {1, 3, 7, 5, 17, 23, 17, 219, 473, 1, 865, 1949, 7589, 10107, 3035, 19903, 79579, 138695, 0};
static int joe_kuo_d6_initial_number16468[] = {1, 3, 1, 15, 13, 57, 109, 117, 277, 773, 31, 3807, 7615, 2453, 22655, 51513, 108367, 248473, 0};
static int joe_kuo_d6_initial_number16469[] = {1, 1, 7, 11, 17, 59, 27, 167, 63, 931, 13, 3721, 1789, 7621, 31093, 27541, 37283, 35193, 0};
static int joe_kuo_d6_initial_number16470[] = {1, 3, 3, 11, 13, 9, 7, 85, 45, 151, 1865, 4049, 4433, 9517, 231, 30733, 93701, 126585, 0};
static int joe_kuo_d6_initial_number16471[] = {1, 3, 1, 13, 21, 33, 19, 87, 77, 425, 351, 1163, 7453, 12567, 24615, 35563, 127643, 28625, 0};
static int joe_kuo_d6_initial_number16472[] = {1, 1, 3, 11, 7, 35, 27, 47, 465, 595, 985, 573, 2541, 7841, 14749, 43761, 26699, 135895, 0};
static int joe_kuo_d6_initial_number16473[] = {1, 1, 1, 7, 25, 51, 93, 237, 355, 575, 1, 443, 5697, 1997, 28801, 11621, 62531, 88449, 0};
static int joe_kuo_d6_initial_number16474[] = {1, 1, 1, 9, 23, 35, 23, 91, 161, 601, 1401, 2187, 6283, 10711, 21277, 47771, 12589, 176625, 0};
static int joe_kuo_d6_initial_number16475[] = {1, 3, 3, 5, 13, 23, 33, 65, 213, 835, 539, 2487, 273, 6113, 18327, 52493, 17571, 160909, 0};
static int joe_kuo_d6_initial_number16476[] = {1, 3, 1, 5, 25, 9, 117, 201, 457, 331, 1455, 439, 4891, 5515, 21701, 9343, 29085, 120299, 0};
static int joe_kuo_d6_initial_number16477[] = {1, 1, 1, 5, 29, 7, 43, 125, 155, 43, 1949, 2901, 7293, 13683, 18289, 16873, 27899, 168631, 0};
static int joe_kuo_d6_initial_number16478[] = {1, 1, 7, 3, 29, 33, 53, 137, 301, 27, 1101, 837, 5843, 13167, 6073, 49083, 120031, 45065, 0};
static int joe_kuo_d6_initial_number16479[] = {1, 3, 5, 1, 31, 47, 127, 185, 279, 603, 1699, 1693, 3263, 9055, 3525, 46065, 79305, 19949, 0};
static int joe_kuo_d6_initial_number16480[] = {1, 3, 7, 9, 17, 47, 25, 191, 369, 877, 1477, 3041, 5123, 1393, 5061, 1755, 61051, 55299, 0};
static int joe_kuo_d6_initial_number16481[] = {1, 1, 5, 13, 13, 7, 89, 141, 251, 321, 1515, 2677, 5103, 12901, 29875, 165, 15073, 47795, 0};
static int joe_kuo_d6_initial_number16482[] = {1, 3, 1, 7, 1, 37, 55, 173, 191, 981, 685, 4003, 6319, 3037, 30637, 11955, 81015, 89239, 0};
static int joe_kuo_d6_initial_number16483[] = {1, 3, 5, 5, 1, 5, 55, 251, 229, 153, 425, 2793, 6779, 15797, 10087, 7573, 121789, 115479, 0};
static int joe_kuo_d6_initial_number16484[] = {1, 3, 7, 13, 23, 39, 23, 21, 55, 543, 1539, 3055, 7825, 2865, 8967, 56719, 117219, 142137, 0};
static int joe_kuo_d6_initial_number16485[] = {1, 1, 5, 13, 1, 29, 81, 11, 509, 61, 1681, 1911, 829, 10583, 7105, 42047, 128579, 48891, 0};
static int joe_kuo_d6_initial_number16486[] = {1, 1, 3, 13, 7, 27, 81, 89, 129, 239, 309, 1353, 5265, 12255, 29391, 1659, 114857, 43551, 0};
static int joe_kuo_d6_initial_number16487[] = {1, 1, 7, 13, 23, 15, 9, 93, 35, 839, 549, 1793, 4693, 13295, 10603, 18179, 33141, 239555, 0};
static int joe_kuo_d6_initial_number16488[] = {1, 3, 1, 7, 17, 5, 11, 193, 143, 579, 1199, 1239, 4503, 15855, 23345, 34789, 59427, 235319, 0};
static int joe_kuo_d6_initial_number16489[] = {1, 3, 5, 3, 25, 63, 11, 203, 415, 135, 261, 1843, 3409, 4605, 15213, 28537, 75787, 100007, 0};
static int joe_kuo_d6_initial_number16490[] = {1, 1, 1, 5, 3, 37, 29, 157, 213, 235, 959, 1087, 2843, 10265, 28233, 14281, 25867, 204031, 0};
static int joe_kuo_d6_initial_number16491[] = {1, 3, 3, 7, 19, 49, 55, 111, 253, 823, 533, 941, 2509, 5595, 9267, 28457, 84301, 165385, 0};
static int joe_kuo_d6_initial_number16492[] = {1, 3, 5, 9, 5, 59, 13, 85, 339, 889, 597, 3517, 7001, 5525, 25451, 13855, 19033, 182677, 0};
static int joe_kuo_d6_initial_number16493[] = {1, 3, 1, 15, 23, 29, 31, 105, 353, 825, 1977, 2013, 131, 1969, 427, 16465, 90817, 257931, 0};
static int joe_kuo_d6_initial_number16494[] = {1, 3, 1, 3, 29, 9, 109, 243, 321, 15, 1479, 787, 4667, 13925, 7347, 7977, 105585, 143959, 0};
static int joe_kuo_d6_initial_number16495[] = {1, 1, 7, 15, 5, 45, 11, 95, 215, 719, 827, 77, 7263, 5705, 26971, 26845, 82127, 2849, 0};
static int joe_kuo_d6_initial_number16496[] = {1, 1, 7, 9, 5, 43, 103, 133, 203, 127, 2021, 3609, 6971, 13447, 27089, 62287, 104391, 147901, 0};
static int joe_kuo_d6_initial_number16497[] = {1, 3, 1, 3, 3, 41, 61, 101, 381, 985, 1795, 2465, 2899, 13517, 23953, 38831, 43569, 128643, 0};
static int joe_kuo_d6_initial_number16498[] = {1, 3, 5, 5, 9, 49, 13, 7, 215, 85, 1203, 647, 6627, 1861, 17901, 40203, 13007, 84975, 0};
static int joe_kuo_d6_initial_number16499[] = {1, 3, 5, 15, 31, 13, 55, 89, 397, 641, 1599, 3379, 3401, 4173, 5757, 42945, 59269, 106891, 0};
static int joe_kuo_d6_initial_number16500[] = {1, 1, 5, 13, 25, 17, 45, 27, 151, 725, 819, 581, 3675, 3983, 9499, 47511, 128039, 56825, 0};
static int joe_kuo_d6_initial_number16501[] = {1, 1, 5, 1, 7, 11, 65, 63, 301, 927, 409, 3729, 7227, 12849, 17855, 36527, 2907, 66819, 0};
static int joe_kuo_d6_initial_number16502[] = {1, 3, 3, 3, 29, 35, 39, 1, 349, 429, 805, 3639, 3909, 4211, 10393, 36223, 72543, 136375, 0};
static int joe_kuo_d6_initial_number16503[] = {1, 1, 1, 9, 23, 27, 25, 213, 195, 455, 883, 3357, 7277, 9061, 14103, 6005, 35031, 72703, 0};
static int joe_kuo_d6_initial_number16504[] = {1, 1, 3, 3, 11, 17, 19, 181, 25, 775, 897, 3809, 2031, 13017, 7505, 37469, 107335, 174309, 0};
static int joe_kuo_d6_initial_number16505[] = {1, 1, 7, 13, 7, 1, 57, 27, 159, 465, 533, 3409, 3863, 14001, 8011, 25873, 14971, 67243, 0};
static int joe_kuo_d6_initial_number16506[] = {1, 1, 3, 11, 19, 5, 11, 19, 75, 489, 1879, 1539, 6563, 4729, 15605, 35203, 47993, 110139, 0};
static int joe_kuo_d6_initial_number16507[] = {1, 3, 5, 9, 23, 17, 67, 89, 379, 849, 1667, 955, 1537, 11781, 9791, 46959, 79481, 237335, 0};
static int joe_kuo_d6_initial_number16508[] = {1, 1, 7, 9, 3, 31, 127, 145, 29, 35, 463, 4009, 4427, 16215, 12093, 50085, 51259, 45091, 0};
static int joe_kuo_d6_initial_number16509[] = {1, 1, 5, 9, 25, 3, 1, 131, 221, 951, 117, 3227, 797, 7617, 13243, 50139, 26737, 105875, 0};
static int joe_kuo_d6_initial_number16510[] = {1, 1, 5, 3, 11, 5, 7, 155, 211, 865, 27, 3943, 7923, 9973, 23233, 37399, 89951, 106555, 0};
static int joe_kuo_d6_initial_number16511[] = {1, 1, 3, 13, 21, 61, 77, 121, 227, 527, 1641, 3535, 3801, 7221, 6423, 9179, 114935, 33373, 0};
static int joe_kuo_d6_initial_number16512[] = {1, 3, 7, 5, 31, 7, 123, 159, 367, 369, 1905, 1689, 6773, 675, 30289, 54149, 71469, 232835, 0};
static int joe_kuo_d6_initial_number16513[] = {1, 1, 1, 13, 9, 23, 83, 237, 251, 941, 781, 1489, 6037, 6001, 15909, 50527, 60143, 238499, 0};
static int joe_kuo_d6_initial_number16514[] = {1, 3, 1, 11, 5, 7, 103, 43, 413, 247, 535, 2107, 1801, 16381, 32529, 2355, 39143, 71281, 0};
static int joe_kuo_d6_initial_number16515[] = {1, 1, 7, 5, 5, 31, 19, 11, 191, 643, 923, 1661, 2215, 11817, 23937, 62907, 128301, 21459, 0};
static int joe_kuo_d6_initial_number16516[] = {1, 3, 7, 15, 1, 51, 123, 61, 99, 751, 1819, 1191, 3865, 8765, 7131, 33965, 55697, 87059, 0};
static int joe_kuo_d6_initial_number16517[] = {1, 1, 5, 13, 5, 57, 41, 103, 135, 207, 517, 3995, 2537, 15705, 9123, 26193, 30653, 190549, 0};
static int joe_kuo_d6_initial_number16518[] = {1, 1, 3, 1, 23, 5, 109, 209, 407, 143, 943, 2325, 8087, 559, 23675, 31815, 43805, 67497, 0};
static int joe_kuo_d6_initial_number16519[] = {1, 1, 5, 9, 25, 33, 13, 21, 93, 357, 1551, 739, 5595, 16285, 30761, 54075, 75505, 177333, 0};
static int joe_kuo_d6_initial_number16520[] = {1, 3, 5, 11, 17, 59, 31, 249, 95, 561, 1849, 4061, 5577, 2607, 30083, 59033, 56697, 89761, 0};
static int joe_kuo_d6_initial_number16521[] = {1, 1, 3, 13, 27, 57, 9, 17, 323, 813, 1197, 2775, 3443, 9523, 24509, 12129, 89697, 169043, 0};
static int joe_kuo_d6_initial_number16522[] = {1, 3, 5, 13, 17, 51, 91, 1, 105, 345, 829, 1365, 2755, 7197, 26655, 1303, 52223, 133893, 0};
static int joe_kuo_d6_initial_number16523[] = {1, 1, 7, 1, 31, 3, 51, 21, 327, 851, 153, 3329, 3393, 8489, 5879, 25035, 124403, 172657, 0};
static int joe_kuo_d6_initial_number16524[] = {1, 1, 1, 5, 3, 21, 61, 29, 99, 343, 621, 3163, 3763, 9347, 7691, 34667, 24555, 125819, 0};
static int joe_kuo_d6_initial_number16525[] = {1, 1, 1, 1, 3, 17, 83, 191, 83, 315, 1091, 589, 5081, 4611, 15521, 25791, 9103, 13741, 0};
static int joe_kuo_d6_initial_number16526[] = {1, 3, 5, 3, 7, 53, 9, 227, 399, 857, 673, 3027, 5045, 5573, 7467, 4813, 99659, 142845, 0};
static int joe_kuo_d6_initial_number16527[] = {1, 1, 5, 11, 23, 37, 71, 151, 279, 879, 601, 2391, 7091, 12669, 10203, 11747, 9613, 248261, 0};
static int joe_kuo_d6_initial_number16528[] = {1, 1, 3, 3, 29, 25, 33, 25, 1, 683, 1475, 457, 3641, 14219, 20105, 21449, 6903, 43819, 0};
static int joe_kuo_d6_initial_number16529[] = {1, 1, 7, 7, 5, 1, 73, 79, 357, 971, 699, 1105, 1683, 1687, 32677, 62467, 47671, 88149, 0};
static int joe_kuo_d6_initial_number16530[] = {1, 3, 1, 15, 23, 13, 93, 75, 307, 81, 1607, 1333, 6969, 7747, 27135, 58941, 26355, 5565, 0};
static int joe_kuo_d6_initial_number16531[] = {1, 1, 7, 3, 27, 35, 85, 195, 421, 999, 1721, 2029, 283, 13995, 21649, 7519, 73357, 193171, 0};
static int joe_kuo_d6_initial_number16532[] = {1, 3, 7, 15, 17, 63, 21, 187, 475, 671, 1681, 2731, 8169, 3327, 19789, 53295, 43219, 6949, 0};
static int joe_kuo_d6_initial_number16533[] = {1, 1, 7, 13, 9, 33, 47, 115, 295, 123, 1293, 1627, 4261, 4503, 15925, 16521, 81759, 247089, 0};
static int joe_kuo_d6_initial_number16534[] = {1, 3, 1, 13, 11, 15, 83, 129, 409, 465, 873, 1333, 7939, 973, 2753, 33727, 128975, 43333, 0};
static int joe_kuo_d6_initial_number16535[] = {1, 3, 3, 3, 27, 59, 1, 137, 145, 29, 1189, 2615, 3249, 11197, 17165, 32313, 14065, 44199, 0};
static int joe_kuo_d6_initial_number16536[] = {1, 3, 3, 11, 17, 49, 107, 111, 45, 963, 1129, 1775, 7671, 1495, 14531, 49743, 63321, 159841, 0};
static int joe_kuo_d6_initial_number16537[] = {1, 1, 5, 9, 5, 11, 79, 99, 155, 347, 1777, 3793, 1765, 2319, 3135, 30237, 100845, 52689, 0};
static int joe_kuo_d6_initial_number16538[] = {1, 3, 7, 13, 21, 57, 71, 207, 149, 161, 265, 991, 6967, 8905, 21581, 13921, 79201, 95667, 0};
static int joe_kuo_d6_initial_number16539[] = {1, 3, 5, 15, 13, 53, 95, 81, 443, 161, 1071, 2749, 6637, 837, 15015, 62397, 33295, 112005, 0};
static int joe_kuo_d6_initial_number16540[] = {1, 3, 1, 1, 31, 25, 37, 111, 79, 293, 249, 1523, 1509, 1993, 17167, 62939, 118281, 62699, 0};
static int joe_kuo_d6_initial_number16541[] = {1, 3, 7, 7, 5, 33, 61, 179, 265, 405, 287, 1899, 437, 1609, 19617, 41093, 36341, 176593, 0};
static int joe_kuo_d6_initial_number16542[] = {1, 1, 5, 3, 9, 33, 97, 45, 23, 807, 1575, 627, 7465, 4805, 11191, 35439, 69433, 47275, 0};
static int joe_kuo_d6_initial_number16543[] = {1, 1, 1, 5, 1, 51, 51, 247, 453, 449, 1487, 141, 2501, 8039, 14749, 63733, 91963, 232951, 0};
static int joe_kuo_d6_initial_number16544[] = {1, 3, 3, 13, 15, 7, 81, 211, 445, 15, 899, 835, 5163, 3403, 7367, 29963, 80413, 87209, 0};
static int joe_kuo_d6_initial_number16545[] = {1, 3, 1, 11, 25, 43, 113, 139, 381, 391, 485, 1503, 4195, 10109, 13771, 35865, 50909, 224887, 0};
static int joe_kuo_d6_initial_number16546[] = {1, 1, 7, 9, 9, 51, 21, 85, 137, 765, 951, 2453, 227, 9177, 1457, 47937, 84203, 118987, 0};
static int joe_kuo_d6_initial_number16547[] = {1, 3, 5, 9, 1, 1, 21, 41, 133, 317, 519, 2249, 3453, 2957, 2029, 54737, 42515, 176017, 0};
static int joe_kuo_d6_initial_number16548[] = {1, 3, 1, 7, 9, 27, 79, 193, 209, 281, 267, 1267, 7013, 13667, 13331, 32863, 5289, 15077, 0};
static int joe_kuo_d6_initial_number16549[] = {1, 1, 5, 11, 29, 3, 3, 177, 75, 485, 1735, 3955, 4349, 7893, 13075, 58735, 8629, 78143, 0};
static int joe_kuo_d6_initial_number16550[] = {1, 1, 7, 13, 3, 15, 15, 77, 7, 843, 1561, 461, 6817, 4363, 7861, 45697, 115663, 93789, 0};
static int joe_kuo_d6_initial_number16551[] = {1, 1, 1, 7, 5, 35, 83, 213, 229, 383, 747, 337, 2589, 683, 18575, 42415, 74889, 227331, 0};
static int joe_kuo_d6_initial_number16552[] = {1, 3, 5, 3, 17, 35, 57, 213, 247, 273, 689, 1889, 5667, 357, 4267, 11611, 20621, 159039, 0};
static int joe_kuo_d6_initial_number16553[] = {1, 3, 3, 15, 7, 55, 25, 83, 293, 939, 1169, 2507, 3939, 7537, 2959, 40231, 124511, 181091, 0};
static int joe_kuo_d6_initial_number16554[] = {1, 1, 5, 9, 31, 51, 67, 149, 509, 695, 449, 2761, 6597, 4741, 4205, 49177, 45599, 167807, 0};
static int joe_kuo_d6_initial_number16555[] = {1, 1, 7, 15, 3, 7, 113, 71, 279, 885, 251, 2831, 855, 6673, 6511, 63861, 41109, 177119, 0};
static int joe_kuo_d6_initial_number16556[] = {1, 1, 5, 3, 7, 23, 125, 11, 217, 1023, 549, 529, 3891, 10595, 13751, 37729, 113469, 110549, 0};
static int joe_kuo_d6_initial_number16557[] = {1, 1, 3, 15, 21, 9, 13, 63, 93, 635, 659, 2837, 6303, 10083, 10107, 27859, 33891, 181229, 0};
static int joe_kuo_d6_initial_number16558[] = {1, 1, 7, 3, 3, 43, 5, 149, 353, 353, 565, 2441, 7113, 6493, 30355, 17887, 110787, 187199, 0};
static int joe_kuo_d6_initial_number16559[] = {1, 1, 3, 7, 19, 43, 99, 63, 169, 743, 185, 3817, 6677, 5549, 1609, 24701, 98669, 233701, 0};
static int joe_kuo_d6_initial_number16560[] = {1, 1, 1, 1, 21, 49, 73, 169, 223, 551, 553, 917, 4705, 14951, 14031, 19753, 96205, 131755, 0};
static int joe_kuo_d6_initial_number16561[] = {1, 1, 3, 3, 17, 49, 51, 249, 293, 921, 435, 2915, 3125, 3487, 11417, 35043, 29543, 35933, 0};
static int joe_kuo_d6_initial_number16562[] = {1, 1, 3, 9, 23, 43, 73, 151, 379, 911, 671, 151, 955, 11885, 28795, 23967, 117135, 137985, 0};
static int joe_kuo_d6_initial_number16563[] = {1, 1, 3, 7, 29, 3, 51, 231, 59, 227, 443, 3533, 7785, 12535, 25725, 7451, 9391, 239281, 0};
static int joe_kuo_d6_initial_number16564[] = {1, 3, 3, 9, 17, 37, 91, 195, 5, 843, 313, 1417, 1207, 3225, 15949, 34023, 1275, 221057, 0};
static int joe_kuo_d6_initial_number16565[] = {1, 1, 3, 15, 3, 51, 111, 135, 63, 495, 1967, 2151, 197, 10913, 20705, 1021, 68431, 67119, 0};
static int joe_kuo_d6_initial_number16566[] = {1, 1, 5, 3, 7, 29, 87, 219, 273, 267, 1317, 797, 6723, 947, 29867, 32571, 12337, 234715, 0};
static int joe_kuo_d6_initial_number16567[] = {1, 3, 5, 15, 1, 9, 91, 63, 97, 107, 451, 4025, 233, 7803, 17031, 7669, 49417, 256611, 0};
static int joe_kuo_d6_initial_number16568[] = {1, 1, 7, 3, 17, 17, 45, 197, 227, 133, 799, 411, 6739, 8037, 19553, 53009, 25201, 107625, 0};
static int joe_kuo_d6_initial_number16569[] = {1, 3, 5, 7, 3, 39, 25, 95, 197, 127, 45, 173, 3305, 6575, 19633, 54919, 35373, 59509, 0};
static int joe_kuo_d6_initial_number16570[] = {1, 3, 3, 3, 9, 1, 107, 211, 217, 715, 311, 3641, 8055, 1, 9017, 29329, 128467, 46911, 0};
static int joe_kuo_d6_initial_number16571[] = {1, 1, 1, 7, 1, 13, 13, 79, 259, 533, 1761, 449, 3363, 3061, 26227, 50407, 122951, 261425, 0};
static int joe_kuo_d6_initial_number16572[] = {1, 3, 5, 5, 29, 19, 41, 7, 25, 203, 587, 3321, 655, 15877, 10423, 41481, 70325, 165527, 0};
static int joe_kuo_d6_initial_number16573[] = {1, 3, 5, 9, 11, 45, 91, 253, 7, 137, 795, 2379, 4527, 1677, 5081, 6523, 97245, 3691, 0};
static int joe_kuo_d6_initial_number16574[] = {1, 3, 7, 9, 25, 43, 125, 243, 391, 785, 651, 3245, 7979, 14689, 15443, 40501, 5519, 96551, 0};
static int joe_kuo_d6_initial_number16575[] = {1, 1, 1, 3, 25, 53, 45, 159, 47, 701, 1655, 2019, 2355, 11213, 12403, 42291, 44925, 72689, 0};
static int joe_kuo_d6_initial_number16576[] = {1, 1, 1, 5, 21, 19, 77, 31, 3, 161, 149, 3759, 6331, 12311, 7021, 1117, 12459, 134821, 0};
static int joe_kuo_d6_initial_number16577[] = {1, 1, 3, 9, 9, 59, 23, 255, 437, 625, 719, 3727, 7157, 1889, 31523, 59127, 114143, 174179, 0};
static int joe_kuo_d6_initial_number16578[] = {1, 1, 1, 15, 23, 7, 47, 137, 77, 519, 1681, 1159, 6121, 14789, 21343, 43101, 44709, 179863, 0};
static int joe_kuo_d6_initial_number16579[] = {1, 3, 1, 3, 17, 27, 103, 11, 327, 735, 1949, 3719, 811, 2267, 13187, 29747, 98433, 242021, 0};
static int joe_kuo_d6_initial_number16580[] = {1, 1, 7, 15, 15, 63, 25, 203, 109, 585, 409, 4093, 6669, 2381, 30721, 58975, 17235, 257959, 0};
static int joe_kuo_d6_initial_number16581[] = {1, 3, 3, 5, 5, 19, 27, 69, 69, 193, 693, 1169, 6321, 3425, 9285, 28019, 128343, 185165, 0};
static int joe_kuo_d6_initial_number16582[] = {1, 1, 3, 9, 7, 51, 113, 93, 81, 385, 1811, 2601, 2065, 1029, 24515, 7199, 26425, 174283, 0};
static int joe_kuo_d6_initial_number16583[] = {1, 1, 1, 5, 29, 55, 93, 219, 281, 887, 891, 2763, 6083, 9627, 18559, 21329, 73887, 83699, 0};
static int joe_kuo_d6_initial_number16584[] = {1, 1, 1, 3, 21, 31, 49, 173, 15, 177, 1001, 3453, 5623, 14107, 8837, 10163, 26817, 41947, 0};
static int joe_kuo_d6_initial_number16585[] = {1, 1, 3, 5, 27, 63, 117, 49, 405, 281, 981, 2363, 1525, 9685, 29089, 16739, 66509, 125823, 0};
static int joe_kuo_d6_initial_number16586[] = {1, 3, 7, 13, 27, 29, 57, 189, 345, 135, 753, 463, 731, 4823, 14335, 33299, 105229, 54705, 0};
static int joe_kuo_d6_initial_number16587[] = {1, 3, 1, 1, 9, 43, 51, 25, 371, 261, 1409, 3493, 2811, 12915, 16075, 62159, 125945, 108453, 0};
static int joe_kuo_d6_initial_number16588[] = {1, 3, 7, 15, 13, 33, 47, 53, 263, 669, 1383, 3059, 4043, 4777, 14679, 2077, 11019, 5803, 0};
static int joe_kuo_d6_initial_number16589[] = {1, 1, 3, 11, 21, 7, 39, 71, 215, 79, 1849, 1261, 45, 1273, 27591, 4653, 25119, 30445, 0};
static int joe_kuo_d6_initial_number16590[] = {1, 3, 5, 9, 21, 3, 17, 207, 417, 777, 37, 3349, 2761, 4469, 3457, 15593, 87251, 38601, 0};
static int joe_kuo_d6_initial_number16591[] = {1, 1, 7, 13, 29, 29, 101, 103, 487, 87, 1129, 2497, 5501, 4813, 8623, 25077, 50487, 94053, 0};
static int joe_kuo_d6_initial_number16592[] = {1, 3, 3, 11, 7, 23, 95, 245, 127, 55, 431, 2707, 4955, 15871, 29589, 60023, 1921, 227623, 0};
static int joe_kuo_d6_initial_number16593[] = {1, 1, 3, 11, 17, 61, 103, 59, 477, 99, 1203, 157, 203, 557, 22921, 47363, 12853, 144067, 0};
static int joe_kuo_d6_initial_number16594[] = {1, 3, 1, 13, 15, 23, 51, 109, 499, 841, 1779, 2515, 2519, 4945, 20061, 12395, 9223, 157901, 0};
static int joe_kuo_d6_initial_number16595[] = {1, 3, 7, 9, 9, 15, 57, 223, 223, 463, 427, 2145, 1219, 12639, 28361, 46019, 128101, 198479, 0};
static int joe_kuo_d6_initial_number16596[] = {1, 3, 7, 7, 1, 1, 99, 101, 135, 169, 1885, 3979, 3051, 13649, 26607, 45067, 4503, 74087, 0};
static int joe_kuo_d6_initial_number16597[] = {1, 3, 7, 5, 17, 63, 27, 45, 447, 759, 1099, 3407, 489, 2719, 31577, 10355, 126835, 203439, 0};
static int joe_kuo_d6_initial_number16598[] = {1, 1, 5, 1, 21, 19, 1, 239, 433, 531, 1181, 2021, 423, 3235, 8457, 44459, 117401, 63545, 0};
static int joe_kuo_d6_initial_number16599[] = {1, 3, 7, 13, 21, 39, 25, 65, 405, 785, 137, 2899, 3255, 11165, 7827, 46425, 89063, 102787, 0};
static int joe_kuo_d6_initial_number16600[] = {1, 1, 1, 11, 25, 3, 39, 61, 395, 35, 2001, 3201, 2233, 9625, 26489, 54167, 88495, 127441, 0};
static int joe_kuo_d6_initial_number16601[] = {1, 1, 7, 7, 3, 27, 11, 49, 117, 711, 1881, 1457, 6759, 10517, 12733, 47435, 103111, 237237, 0};
static int joe_kuo_d6_initial_number16602[] = {1, 1, 5, 5, 1, 61, 121, 155, 223, 733, 1349, 2825, 2093, 4481, 21389, 40227, 20453, 116907, 0};
static int joe_kuo_d6_initial_number16603[] = {1, 3, 7, 7, 5, 11, 85, 131, 345, 723, 853, 3679, 7859, 11923, 16619, 63169, 127261, 155665, 0};
static int joe_kuo_d6_initial_number16604[] = {1, 1, 5, 1, 3, 51, 93, 225, 197, 893, 555, 2611, 6225, 7819, 31655, 12235, 24919, 31451, 0};
static int joe_kuo_d6_initial_number16605[] = {1, 1, 3, 3, 11, 23, 95, 205, 85, 705, 545, 155, 5533, 14837, 8341, 42473, 96891, 70695, 0};
static int joe_kuo_d6_initial_number16606[] = {1, 3, 3, 5, 17, 31, 99, 187, 219, 275, 685, 2933, 4535, 13495, 20351, 60667, 95211, 129233, 0};
static int joe_kuo_d6_initial_number16607[] = {1, 1, 1, 11, 9, 11, 123, 231, 127, 199, 733, 2495, 2601, 10565, 3155, 45251, 128319, 187457, 0};
static int joe_kuo_d6_initial_number16608[] = {1, 3, 1, 9, 3, 33, 41, 109, 279, 851, 1115, 3773, 2383, 1885, 6993, 59693, 69863, 88081, 0};
static int joe_kuo_d6_initial_number16609[] = {1, 1, 7, 13, 3, 27, 27, 203, 337, 965, 959, 1125, 2897, 8653, 15827, 51187, 12121, 4665, 0};
static int joe_kuo_d6_initial_number16610[] = {1, 3, 1, 9, 19, 7, 23, 113, 257, 671, 571, 1061, 4353, 217, 13603, 27961, 68431, 147187, 0};
static int joe_kuo_d6_initial_number16611[] = {1, 3, 5, 9, 25, 61, 7, 139, 237, 859, 761, 2005, 5981, 153, 6553, 53005, 72653, 33571, 0};
static int joe_kuo_d6_initial_number16612[] = {1, 3, 5, 5, 9, 35, 63, 149, 427, 65, 635, 1955, 1845, 13781, 9761, 36147, 91479, 141305, 0};
static int joe_kuo_d6_initial_number16613[] = {1, 1, 3, 5, 13, 39, 53, 113, 481, 933, 239, 3713, 7453, 12363, 14763, 46955, 108545, 74349, 0};
static int joe_kuo_d6_initial_number16614[] = {1, 3, 1, 7, 13, 41, 57, 225, 213, 617, 1947, 2855, 4885, 8553, 20259, 57125, 59369, 178553, 0};
static int joe_kuo_d6_initial_number16615[] = {1, 3, 5, 15, 31, 31, 19, 87, 461, 403, 1193, 2123, 4991, 14551, 17153, 14171, 17157, 194879, 0};
static int joe_kuo_d6_initial_number16616[] = {1, 1, 5, 11, 5, 27, 119, 65, 111, 455, 1949, 3441, 6951, 6819, 12839, 6913, 57695, 145925, 0};
static int joe_kuo_d6_initial_number16617[] = {1, 1, 1, 15, 19, 41, 55, 45, 33, 559, 589, 3773, 745, 8515, 32389, 47797, 145, 105503, 0};
static int joe_kuo_d6_initial_number16618[] = {1, 1, 3, 15, 13, 53, 35, 223, 247, 893, 149, 553, 829, 5129, 26417, 15769, 95411, 6595, 0};
static int joe_kuo_d6_initial_number16619[] = {1, 1, 5, 3, 3, 59, 35, 187, 387, 3, 847, 3579, 7869, 481, 23955, 22191, 21041, 230449, 0};
static int joe_kuo_d6_initial_number16620[] = {1, 1, 3, 15, 23, 11, 97, 199, 11, 647, 803, 2391, 5791, 2223, 22187, 49675, 87775, 196871, 0};
static int joe_kuo_d6_initial_number16621[] = {1, 3, 7, 5, 25, 63, 107, 227, 133, 337, 1767, 2459, 2987, 10463, 25001, 17047, 79901, 222877, 0};
static int joe_kuo_d6_initial_number16622[] = {1, 3, 1, 13, 25, 5, 47, 109, 473, 389, 1743, 3951, 4231, 827, 4189, 29903, 106909, 152835, 0};
static int joe_kuo_d6_initial_number16623[] = {1, 1, 5, 3, 7, 61, 121, 189, 303, 21, 957, 545, 7893, 3217, 25847, 29371, 100569, 132393, 0};
static int joe_kuo_d6_initial_number16624[] = {1, 1, 1, 15, 29, 17, 59, 37, 449, 149, 845, 555, 7603, 11911, 18477, 23279, 107167, 160339, 0};
static int joe_kuo_d6_initial_number16625[] = {1, 1, 7, 5, 13, 27, 43, 167, 443, 445, 2011, 2179, 2785, 13663, 21957, 2455, 18217, 19303, 0};
static int joe_kuo_d6_initial_number16626[] = {1, 1, 1, 5, 19, 45, 71, 39, 21, 791, 1467, 855, 3101, 8267, 15529, 919, 105313, 75627, 0};
static int joe_kuo_d6_initial_number16627[] = {1, 3, 1, 11, 31, 25, 57, 177, 211, 327, 679, 771, 7725, 6123, 23931, 48223, 9063, 133319, 0};
static int joe_kuo_d6_initial_number16628[] = {1, 3, 5, 3, 1, 11, 19, 153, 177, 563, 1919, 117, 5583, 1519, 16623, 10871, 15511, 66113, 0};
static int joe_kuo_d6_initial_number16629[] = {1, 1, 7, 7, 9, 45, 63, 253, 415, 347, 81, 2991, 2691, 2383, 15573, 33783, 12445, 224107, 0};
static int joe_kuo_d6_initial_number16630[] = {1, 3, 5, 5, 7, 17, 99, 231, 439, 1009, 623, 833, 685, 6419, 30313, 56197, 73239, 260007, 0};
static int joe_kuo_d6_initial_number16631[] = {1, 1, 5, 5, 5, 51, 97, 239, 267, 629, 1211, 2175, 5681, 3107, 11381, 57047, 120175, 131285, 0};
static int joe_kuo_d6_initial_number16632[] = {1, 1, 7, 7, 29, 11, 21, 49, 481, 279, 1795, 1295, 453, 15985, 19941, 51853, 15115, 107271, 0};
static int joe_kuo_d6_initial_number16633[] = {1, 1, 5, 1, 23, 61, 33, 21, 409, 57, 903, 557, 1673, 2759, 23705, 4109, 58865, 233081, 0};
static int joe_kuo_d6_initial_number16634[] = {1, 1, 1, 5, 11, 37, 79, 15, 213, 485, 1477, 3925, 3205, 9267, 22043, 54197, 57101, 66185, 0};
static int joe_kuo_d6_initial_number16635[] = {1, 1, 7, 13, 31, 27, 95, 141, 131, 43, 2039, 2257, 17, 14427, 5699, 22263, 86851, 226283, 0};
static int joe_kuo_d6_initial_number16636[] = {1, 3, 5, 5, 11, 5, 5, 217, 363, 163, 1241, 3683, 1409, 1731, 20973, 63849, 35041, 94859, 0};
static int joe_kuo_d6_initial_number16637[] = {1, 1, 7, 1, 25, 61, 67, 239, 369, 319, 1157, 2435, 2147, 12057, 4451, 3005, 31787, 199653, 0};
static int joe_kuo_d6_initial_number16638[] = {1, 3, 5, 1, 11, 57, 1, 163, 433, 11, 1299, 1711, 1601, 4677, 16481, 25175, 63893, 41853, 0};
static int joe_kuo_d6_initial_number16639[] = {1, 1, 3, 1, 29, 49, 91, 15, 313, 533, 115, 4005, 3157, 10615, 27915, 52613, 64447, 93091, 0};
static int joe_kuo_d6_initial_number16640[] = {1, 3, 7, 3, 7, 17, 103, 67, 237, 595, 1571, 3421, 3971, 11123, 145, 52087, 59273, 21417, 0};
static int joe_kuo_d6_initial_number16641[] = {1, 3, 5, 11, 31, 37, 105, 205, 377, 243, 841, 3153, 6847, 14171, 19947, 61561, 35, 261753, 0};
static int joe_kuo_d6_initial_number16642[] = {1, 3, 5, 9, 29, 21, 103, 219, 107, 427, 1841, 2015, 2919, 5721, 8631, 48841, 33281, 35835, 0};
static int joe_kuo_d6_initial_number16643[] = {1, 1, 3, 5, 25, 27, 67, 65, 305, 677, 1975, 1049, 7277, 15279, 30181, 48941, 119087, 130265, 0};
static int joe_kuo_d6_initial_number16644[] = {1, 1, 3, 9, 29, 27, 109, 167, 351, 463, 663, 3155, 919, 10627, 30163, 62233, 32927, 210775, 0};
static int joe_kuo_d6_initial_number16645[] = {1, 3, 5, 5, 19, 9, 17, 93, 33, 999, 1537, 3045, 3735, 4625, 31363, 46075, 80985, 108331, 0};
static int joe_kuo_d6_initial_number16646[] = {1, 3, 7, 7, 11, 63, 83, 157, 205, 505, 657, 1901, 1405, 8349, 16473, 29397, 130379, 167963, 0};
static int joe_kuo_d6_initial_number16647[] = {1, 3, 1, 15, 25, 49, 65, 189, 461, 923, 1839, 2597, 2471, 14103, 2915, 48429, 74387, 243465, 0};
static int joe_kuo_d6_initial_number16648[] = {1, 3, 7, 11, 31, 47, 109, 21, 205, 343, 1999, 315, 8119, 15937, 8761, 55257, 99983, 131641, 0};
static int joe_kuo_d6_initial_number16649[] = {1, 1, 3, 11, 3, 23, 73, 125, 17, 967, 1811, 1413, 4783, 8303, 25301, 26859, 90583, 140721, 0};
static int joe_kuo_d6_initial_number16650[] = {1, 1, 5, 5, 25, 41, 49, 127, 391, 381, 1575, 1697, 5205, 12805, 24365, 20275, 58819, 167845, 0};
static int joe_kuo_d6_initial_number16651[] = {1, 1, 7, 11, 17, 53, 51, 35, 383, 931, 359, 2863, 119, 6683, 26247, 14281, 49205, 256869, 0};
static int joe_kuo_d6_initial_number16652[] = {1, 1, 7, 9, 23, 5, 69, 97, 407, 15, 579, 2905, 47, 6227, 23997, 42459, 26569, 225467, 0};
static int joe_kuo_d6_initial_number16653[] = {1, 3, 3, 11, 7, 3, 125, 87, 347, 79, 1571, 1513, 285, 12101, 1731, 27887, 42009, 173243, 0};
static int joe_kuo_d6_initial_number16654[] = {1, 3, 7, 13, 3, 5, 99, 29, 77, 873, 1111, 1451, 5493, 10669, 22597, 54437, 55521, 101617, 0};
static int joe_kuo_d6_initial_number16655[] = {1, 3, 1, 3, 3, 17, 41, 215, 207, 71, 683, 1979, 4849, 2437, 5717, 28999, 55005, 233929, 0};
static int joe_kuo_d6_initial_number16656[] = {1, 1, 1, 1, 23, 21, 105, 223, 5, 235, 1533, 3715, 2689, 13937, 12125, 63879, 111537, 39817, 0};
static int joe_kuo_d6_initial_number16657[] = {1, 3, 3, 15, 25, 47, 71, 229, 21, 563, 1851, 2423, 131, 4431, 31567, 8883, 1311, 227893, 0};
static int joe_kuo_d6_initial_number16658[] = {1, 3, 5, 11, 7, 23, 19, 59, 397, 315, 1149, 3595, 5973, 11027, 5233, 55237, 102777, 137421, 0};
static int joe_kuo_d6_initial_number16659[] = {1, 1, 7, 9, 17, 61, 45, 235, 387, 171, 1079, 3119, 6933, 3591, 751, 35495, 49969, 204611, 0};
static int joe_kuo_d6_initial_number16660[] = {1, 1, 7, 7, 21, 7, 105, 79, 81, 245, 1229, 409, 5159, 9815, 6713, 4687, 120541, 246133, 0};
static int joe_kuo_d6_initial_number16661[] = {1, 3, 7, 13, 23, 31, 85, 97, 481, 497, 581, 1179, 243, 1767, 11855, 11599, 3141, 104741, 0};
static int joe_kuo_d6_initial_number16662[] = {1, 3, 7, 3, 3, 45, 15, 29, 413, 631, 273, 1007, 2979, 11307, 24535, 9305, 83591, 77121, 0};
static int joe_kuo_d6_initial_number16663[] = {1, 3, 7, 15, 21, 55, 11, 169, 417, 631, 141, 1489, 3371, 16073, 11215, 15479, 125341, 131731, 0};
static int joe_kuo_d6_initial_number16664[] = {1, 1, 7, 5, 13, 33, 7, 121, 295, 191, 497, 2233, 997, 13833, 14503, 38357, 79007, 53985, 0};
static int joe_kuo_d6_initial_number16665[] = {1, 3, 3, 3, 29, 63, 97, 27, 449, 643, 317, 1989, 1481, 2873, 21247, 35989, 61295, 101829, 0};
static int joe_kuo_d6_initial_number16666[] = {1, 3, 1, 7, 13, 49, 27, 227, 21, 983, 179, 2761, 2859, 2851, 26447, 33295, 126963, 41441, 0};
static int joe_kuo_d6_initial_number16667[] = {1, 1, 5, 13, 27, 1, 61, 115, 185, 867, 2017, 2257, 5035, 7855, 25849, 48189, 28287, 133261, 0};
static int joe_kuo_d6_initial_number16668[] = {1, 1, 7, 13, 27, 17, 13, 205, 379, 717, 247, 3341, 2841, 10845, 26979, 5589, 1935, 48371, 0};
static int joe_kuo_d6_initial_number16669[] = {1, 3, 1, 11, 9, 51, 25, 185, 65, 643, 1867, 3825, 3395, 8883, 29239, 20019, 19071, 3377, 0};
static int joe_kuo_d6_initial_number16670[] = {1, 1, 1, 1, 11, 57, 61, 113, 419, 249, 153, 2883, 87, 7919, 11941, 46725, 38701, 73715, 0};
static int joe_kuo_d6_initial_number16671[] = {1, 3, 3, 11, 3, 15, 19, 87, 27, 839, 463, 1757, 3137, 10821, 2857, 58101, 91983, 137045, 0};
static int joe_kuo_d6_initial_number16672[] = {1, 3, 3, 1, 25, 25, 15, 93, 359, 5, 53, 647, 6245, 1957, 4651, 14697, 12193, 231303, 0};
static int joe_kuo_d6_initial_number16673[] = {1, 1, 5, 9, 31, 49, 69, 223, 133, 595, 777, 1281, 727, 6671, 21453, 14193, 51769, 258301, 0};
static int joe_kuo_d6_initial_number16674[] = {1, 3, 5, 11, 29, 37, 75, 17, 229, 121, 313, 2873, 5233, 13231, 7589, 40075, 42101, 137697, 0};
static int joe_kuo_d6_initial_number16675[] = {1, 1, 7, 1, 31, 9, 15, 63, 149, 5, 1785, 21, 2619, 15071, 3243, 58023, 20697, 205181, 0};
static int joe_kuo_d6_initial_number16676[] = {1, 3, 7, 7, 25, 61, 59, 157, 251, 303, 1905, 2389, 1681, 319, 14155, 49089, 45381, 124447, 0};
static int joe_kuo_d6_initial_number16677[] = {1, 3, 5, 5, 25, 27, 41, 125, 105, 867, 365, 117, 7215, 2887, 28499, 9597, 105999, 150189, 0};
static int joe_kuo_d6_initial_number16678[] = {1, 1, 5, 13, 5, 33, 47, 221, 207, 641, 525, 3215, 5293, 16343, 16169, 44393, 26305, 194411, 0};
static int joe_kuo_d6_initial_number16679[] = {1, 3, 5, 13, 29, 17, 31, 77, 511, 465, 1141, 597, 5111, 6629, 14557, 13057, 11643, 250925, 0};
static int joe_kuo_d6_initial_number16680[] = {1, 1, 7, 11, 1, 5, 65, 139, 471, 265, 1145, 965, 47, 10971, 15615, 62031, 58523, 175593, 0};
static int joe_kuo_d6_initial_number16681[] = {1, 1, 5, 1, 23, 61, 57, 139, 377, 843, 79, 2873, 1823, 7551, 26741, 63031, 124879, 115295, 0};
static int joe_kuo_d6_initial_number16682[] = {1, 1, 5, 13, 9, 19, 1, 61, 331, 1015, 1035, 1691, 4057, 6071, 24929, 39569, 95695, 39307, 0};
static int joe_kuo_d6_initial_number16683[] = {1, 3, 3, 5, 23, 17, 13, 65, 381, 893, 1879, 3735, 1547, 6735, 30251, 11471, 102997, 126429, 0};
static int joe_kuo_d6_initial_number16684[] = {1, 1, 5, 13, 1, 43, 15, 1, 155, 221, 1463, 3793, 6467, 7221, 28027, 55357, 69397, 87565, 0};
static int joe_kuo_d6_initial_number16685[] = {1, 1, 7, 3, 17, 9, 71, 75, 77, 639, 1251, 701, 473, 12337, 1893, 6349, 10837, 27797, 0};
static int joe_kuo_d6_initial_number16686[] = {1, 3, 5, 11, 11, 11, 125, 23, 161, 937, 707, 2487, 695, 8495, 16219, 33671, 109463, 248305, 0};
static int joe_kuo_d6_initial_number16687[] = {1, 1, 1, 11, 5, 49, 15, 47, 393, 407, 39, 1867, 7727, 12701, 7805, 119, 77401, 186421, 0};
static int joe_kuo_d6_initial_number16688[] = {1, 1, 5, 5, 19, 21, 77, 187, 387, 51, 1497, 1225, 3101, 791, 529, 4321, 118435, 112889, 0};
static int joe_kuo_d6_initial_number16689[] = {1, 3, 1, 13, 27, 17, 11, 63, 201, 909, 1549, 3243, 1803, 9461, 20985, 24637, 100993, 200473, 0};
static int joe_kuo_d6_initial_number16690[] = {1, 3, 7, 13, 11, 35, 97, 213, 415, 467, 2013, 2159, 7017, 7895, 18235, 50659, 113169, 141887, 0};
static int joe_kuo_d6_initial_number16691[] = {1, 1, 3, 7, 13, 21, 119, 109, 471, 323, 277, 1685, 2399, 14777, 2643, 5879, 113043, 45223, 0};
static int joe_kuo_d6_initial_number16692[] = {1, 3, 1, 13, 19, 5, 1, 75, 499, 297, 1897, 591, 3223, 12939, 30593, 4053, 122207, 215171, 0};
static int joe_kuo_d6_initial_number16693[] = {1, 3, 3, 9, 21, 11, 29, 205, 13, 381, 569, 599, 7089, 8145, 18531, 34477, 101057, 64269, 0};
static int joe_kuo_d6_initial_number16694[] = {1, 1, 5, 15, 1, 19, 37, 131, 325, 441, 3, 4001, 6937, 9207, 27543, 30321, 37083, 241019, 0};
static int joe_kuo_d6_initial_number16695[] = {1, 3, 7, 13, 7, 15, 9, 159, 97, 905, 557, 1913, 7325, 4057, 19461, 14277, 36873, 25619, 0};
static int joe_kuo_d6_initial_number16696[] = {1, 3, 5, 7, 3, 51, 99, 9, 185, 227, 2041, 331, 3925, 12481, 17485, 37137, 3753, 125269, 0};
static int joe_kuo_d6_initial_number16697[] = {1, 1, 7, 11, 31, 49, 89, 37, 49, 863, 833, 3263, 351, 6277, 23055, 49727, 25005, 161585, 0};
static int joe_kuo_d6_initial_number16698[] = {1, 3, 5, 1, 9, 35, 89, 101, 117, 365, 1015, 1159, 4623, 4541, 6831, 28091, 10647, 221415, 0};
static int joe_kuo_d6_initial_number16699[] = {1, 1, 5, 5, 13, 47, 125, 209, 199, 885, 927, 1411, 795, 8835, 28589, 48753, 27191, 53455, 0};
static int joe_kuo_d6_initial_number16700[] = {1, 1, 5, 9, 7, 19, 3, 87, 157, 121, 1433, 1463, 3241, 5969, 203, 36723, 14779, 63949, 0};
static int joe_kuo_d6_initial_number16701[] = {1, 1, 3, 9, 1, 47, 71, 113, 405, 561, 1149, 3599, 4173, 6819, 5493, 45987, 41521, 221503, 0};
static int joe_kuo_d6_initial_number16702[] = {1, 3, 3, 1, 3, 55, 101, 103, 161, 549, 457, 2529, 2043, 8843, 5677, 7449, 45185, 178289, 0};
static int joe_kuo_d6_initial_number16703[] = {1, 1, 1, 3, 31, 25, 1, 161, 7, 503, 641, 2221, 749, 1521, 6151, 19245, 55913, 80141, 0};
static int joe_kuo_d6_initial_number16704[] = {1, 1, 1, 9, 3, 45, 73, 217, 249, 929, 163, 2139, 3921, 11223, 11161, 52697, 89633, 14243, 0};
static int joe_kuo_d6_initial_number16705[] = {1, 1, 7, 15, 17, 41, 5, 119, 211, 53, 985, 2679, 679, 9349, 25577, 26947, 35141, 93999, 0};
static int joe_kuo_d6_initial_number16706[] = {1, 3, 1, 15, 17, 43, 51, 15, 363, 615, 889, 195, 6279, 15477, 31545, 50941, 119711, 66535, 0};
static int joe_kuo_d6_initial_number16707[] = {1, 1, 1, 13, 7, 11, 17, 127, 131, 759, 739, 161, 5937, 13611, 31757, 10681, 101357, 82873, 0};
static int joe_kuo_d6_initial_number16708[] = {1, 3, 5, 7, 21, 63, 75, 33, 233, 981, 589, 3409, 3523, 1871, 8919, 38513, 32825, 56935, 0};
static int joe_kuo_d6_initial_number16709[] = {1, 3, 5, 3, 9, 9, 85, 221, 203, 727, 1035, 1069, 2409, 2687, 235, 23395, 64163, 193235, 0};
static int joe_kuo_d6_initial_number16710[] = {1, 3, 3, 7, 1, 35, 119, 175, 203, 819, 207, 2283, 4175, 3581, 11647, 43073, 104573, 86607, 0};
static int joe_kuo_d6_initial_number16711[] = {1, 3, 3, 15, 11, 63, 59, 153, 279, 779, 261, 3317, 7671, 11727, 19381, 33227, 79331, 187227, 0};
static int joe_kuo_d6_initial_number16712[] = {1, 1, 3, 1, 7, 1, 115, 15, 235, 9, 1877, 1911, 1089, 9939, 9537, 39563, 95327, 70323, 0};
static int joe_kuo_d6_initial_number16713[] = {1, 1, 5, 7, 25, 61, 63, 145, 425, 617, 1813, 3255, 6797, 16019, 18849, 44191, 69877, 179933, 0};
static int joe_kuo_d6_initial_number16714[] = {1, 1, 3, 13, 17, 45, 69, 247, 27, 367, 871, 1185, 895, 7991, 8145, 22869, 97609, 14673, 0};
static int joe_kuo_d6_initial_number16715[] = {1, 3, 3, 11, 19, 41, 99, 213, 159, 803, 121, 1197, 2849, 15191, 15603, 52445, 105077, 128231, 0};
static int joe_kuo_d6_initial_number16716[] = {1, 3, 1, 11, 21, 61, 117, 167, 437, 447, 419, 1673, 755, 15331, 29819, 16099, 130773, 177547, 0};
static int joe_kuo_d6_initial_number16717[] = {1, 3, 7, 7, 1, 15, 79, 109, 351, 71, 985, 89, 7517, 4175, 30533, 52125, 100863, 186477, 0};
static int joe_kuo_d6_initial_number16718[] = {1, 1, 3, 1, 15, 1, 103, 65, 511, 241, 1279, 3233, 7141, 255, 10925, 28271, 56151, 252121, 0};
static int joe_kuo_d6_initial_number16719[] = {1, 1, 1, 13, 17, 49, 59, 93, 19, 343, 979, 865, 3447, 4595, 3067, 26807, 98915, 126237, 0};
static int joe_kuo_d6_initial_number16720[] = {1, 3, 3, 5, 17, 5, 91, 199, 191, 775, 233, 919, 277, 3485, 9231, 37025, 23493, 186745, 0};
static int joe_kuo_d6_initial_number16721[] = {1, 3, 1, 1, 11, 5, 103, 187, 85, 47, 1111, 883, 6155, 15315, 9041, 58275, 75037, 7773, 0};
static int joe_kuo_d6_initial_number16722[] = {1, 3, 1, 3, 19, 5, 7, 211, 481, 713, 383, 1203, 6089, 15817, 31577, 7283, 25457, 101455, 0};
static int joe_kuo_d6_initial_number16723[] = {1, 3, 5, 7, 21, 9, 59, 127, 375, 477, 721, 3931, 7089, 9079, 5015, 62019, 113747, 36055, 0};
static int joe_kuo_d6_initial_number16724[] = {1, 3, 7, 13, 3, 17, 47, 177, 103, 535, 1787, 509, 5253, 2857, 13421, 19875, 37397, 251353, 0};
static int joe_kuo_d6_initial_number16725[] = {1, 1, 5, 7, 19, 31, 41, 93, 301, 45, 251, 2691, 4657, 2627, 17321, 24627, 80221, 117191, 0};
static int joe_kuo_d6_initial_number16726[] = {1, 3, 5, 7, 5, 31, 27, 3, 463, 549, 1669, 499, 815, 4091, 7049, 60957, 102849, 235617, 0};
static int joe_kuo_d6_initial_number16727[] = {1, 3, 5, 1, 21, 31, 57, 201, 503, 977, 893, 3927, 1605, 8265, 5137, 51009, 89375, 237909, 0};
static int joe_kuo_d6_initial_number16728[] = {1, 3, 3, 1, 27, 5, 11, 81, 445, 229, 5, 543, 3397, 12961, 31911, 36945, 59485, 305, 0};
static int joe_kuo_d6_initial_number16729[] = {1, 1, 5, 13, 31, 63, 39, 171, 243, 39, 1147, 459, 7215, 14603, 20625, 47369, 121495, 237741, 0};
static int joe_kuo_d6_initial_number16730[] = {1, 3, 3, 13, 15, 63, 39, 23, 305, 685, 1885, 571, 2657, 16031, 24759, 10639, 25619, 246137, 0};
static int joe_kuo_d6_initial_number16731[] = {1, 1, 1, 5, 19, 33, 5, 187, 167, 725, 1405, 511, 701, 13283, 3513, 16495, 8755, 221751, 0};
static int joe_kuo_d6_initial_number16732[] = {1, 1, 7, 11, 3, 27, 27, 237, 495, 637, 479, 3247, 3825, 2567, 12853, 52881, 34807, 161483, 0};
static int joe_kuo_d6_initial_number16733[] = {1, 3, 3, 9, 23, 43, 101, 175, 19, 443, 787, 1053, 4113, 12777, 4615, 53115, 2873, 117383, 0};
static int joe_kuo_d6_initial_number16734[] = {1, 3, 1, 13, 3, 23, 33, 93, 145, 937, 957, 2463, 827, 383, 16749, 61567, 10029, 188159, 0};
static int joe_kuo_d6_initial_number16735[] = {1, 1, 7, 15, 21, 23, 3, 71, 323, 995, 645, 1189, 1029, 519, 3479, 13587, 95641, 215337, 0};
static int joe_kuo_d6_initial_number16736[] = {1, 3, 7, 11, 9, 17, 101, 59, 421, 417, 797, 3089, 773, 15959, 18127, 13681, 104667, 217433, 0};
static int joe_kuo_d6_initial_number16737[] = {1, 3, 5, 7, 31, 21, 9, 7, 377, 589, 1497, 939, 5389, 10997, 22291, 19639, 72187, 66193, 0};
static int joe_kuo_d6_initial_number16738[] = {1, 1, 1, 13, 19, 1, 127, 185, 251, 167, 1289, 2715, 5885, 12715, 18261, 36861, 102721, 246917, 0};
static int joe_kuo_d6_initial_number16739[] = {1, 1, 7, 1, 23, 41, 19, 151, 125, 465, 813, 1711, 7933, 13561, 29737, 59207, 62533, 124149, 0};
static int joe_kuo_d6_initial_number16740[] = {1, 3, 5, 9, 7, 13, 17, 119, 425, 877, 1207, 2211, 2943, 13921, 28251, 44143, 112149, 152341, 0};
static int joe_kuo_d6_initial_number16741[] = {1, 3, 5, 9, 15, 21, 87, 83, 77, 731, 91, 3091, 5687, 9647, 2037, 39031, 106583, 66533, 0};
static int joe_kuo_d6_initial_number16742[] = {1, 1, 7, 9, 31, 49, 7, 119, 147, 599, 1191, 297, 1597, 10723, 16893, 47387, 106995, 165409, 0};
static int joe_kuo_d6_initial_number16743[] = {1, 3, 3, 3, 3, 63, 11, 193, 241, 63, 1671, 2139, 5689, 13967, 9239, 7535, 34237, 140283, 0};
static int joe_kuo_d6_initial_number16744[] = {1, 3, 5, 13, 9, 23, 65, 247, 473, 825, 109, 1897, 245, 10517, 8147, 25989, 96447, 118689, 0};
static int joe_kuo_d6_initial_number16745[] = {1, 1, 3, 5, 27, 35, 65, 23, 159, 729, 189, 2661, 4245, 14377, 21043, 15551, 2717, 146949, 0};
static int joe_kuo_d6_initial_number16746[] = {1, 1, 3, 13, 23, 5, 35, 63, 293, 347, 883, 149, 5145, 10821, 5813, 24183, 94711, 64787, 0};
static int joe_kuo_d6_initial_number16747[] = {1, 1, 5, 3, 27, 3, 127, 141, 237, 535, 1509, 2755, 5843, 2379, 19413, 52345, 100247, 42571, 0};
static int joe_kuo_d6_initial_number16748[] = {1, 3, 3, 9, 1, 55, 61, 105, 29, 1021, 1215, 2157, 7453, 4643, 26793, 33553, 2959, 51485, 0};
static int joe_kuo_d6_initial_number16749[] = {1, 1, 3, 7, 31, 51, 59, 49, 321, 207, 415, 2115, 219, 5045, 31133, 17961, 130779, 28255, 0};
static int joe_kuo_d6_initial_number16750[] = {1, 3, 7, 15, 9, 29, 31, 185, 111, 959, 7, 827, 7891, 5449, 22221, 49933, 2091, 194683, 0};
static int joe_kuo_d6_initial_number16751[] = {1, 3, 7, 1, 11, 59, 75, 255, 387, 913, 423, 2915, 5079, 6363, 5175, 57977, 5559, 13257, 0};
static int joe_kuo_d6_initial_number16752[] = {1, 1, 7, 1, 21, 3, 21, 13, 157, 3, 715, 3525, 7769, 5333, 25345, 53473, 44323, 203167, 0};
static int joe_kuo_d6_initial_number16753[] = {1, 1, 7, 11, 31, 25, 55, 5, 169, 695, 1599, 2357, 1427, 14469, 15223, 34275, 42605, 23005, 0};
static int joe_kuo_d6_initial_number16754[] = {1, 1, 1, 15, 19, 51, 117, 135, 297, 831, 329, 3793, 4673, 3795, 24185, 52971, 30423, 68771, 0};
static int joe_kuo_d6_initial_number16755[] = {1, 1, 7, 5, 19, 33, 79, 77, 315, 29, 307, 1709, 3489, 14515, 12477, 58939, 53753, 165031, 0};
static int joe_kuo_d6_initial_number16756[] = {1, 1, 7, 1, 27, 57, 119, 207, 355, 279, 1371, 3917, 2821, 5285, 12673, 28973, 54957, 94001, 0};
static int joe_kuo_d6_initial_number16757[] = {1, 3, 7, 3, 19, 57, 53, 199, 485, 805, 301, 1337, 5993, 2187, 30573, 12045, 101205, 129841, 0};
static int joe_kuo_d6_initial_number16758[] = {1, 1, 3, 9, 15, 45, 71, 119, 445, 759, 1361, 1299, 2927, 2343, 22085, 53733, 21241, 1553, 0};
static int joe_kuo_d6_initial_number16759[] = {1, 3, 5, 3, 27, 11, 1, 239, 497, 343, 1989, 1463, 2473, 5191, 6271, 14129, 124453, 96817, 0};
static int joe_kuo_d6_initial_number16760[] = {1, 3, 5, 7, 27, 19, 123, 27, 483, 557, 1545, 1871, 1297, 587, 1067, 51259, 119231, 173659, 0};
static int joe_kuo_d6_initial_number16761[] = {1, 3, 1, 1, 27, 45, 41, 113, 453, 553, 2019, 2039, 1709, 13017, 5497, 34459, 60295, 229405, 0};
static int joe_kuo_d6_initial_number16762[] = {1, 3, 1, 11, 1, 57, 51, 125, 261, 915, 1673, 25, 529, 653, 17247, 64225, 98991, 248143, 0};
static int joe_kuo_d6_initial_number16763[] = {1, 3, 5, 15, 25, 27, 31, 1, 463, 249, 113, 1955, 2223, 5463, 12281, 20843, 26495, 256759, 0};
static int joe_kuo_d6_initial_number16764[] = {1, 1, 3, 11, 27, 33, 57, 205, 89, 435, 1983, 1165, 3843, 127, 30179, 63971, 10211, 105403, 0};
static int joe_kuo_d6_initial_number16765[] = {1, 3, 3, 5, 21, 49, 35, 161, 273, 205, 41, 1881, 2013, 12549, 24859, 55711, 98235, 237281, 0};
static int joe_kuo_d6_initial_number16766[] = {1, 3, 3, 1, 15, 35, 95, 1, 221, 675, 385, 2257, 2531, 2129, 12895, 11565, 125977, 51973, 0};
static int joe_kuo_d6_initial_number16767[] = {1, 1, 1, 15, 19, 61, 35, 55, 9, 721, 499, 2577, 3001, 14861, 22293, 56195, 72855, 166703, 0};
static int joe_kuo_d6_initial_number16768[] = {1, 1, 1, 7, 5, 25, 59, 175, 81, 989, 935, 2579, 8183, 1109, 4645, 53753, 115795, 105091, 0};
static int joe_kuo_d6_initial_number16769[] = {1, 3, 3, 13, 7, 55, 7, 113, 197, 763, 1747, 3291, 1109, 4391, 18257, 28563, 97413, 5847, 0};
static int joe_kuo_d6_initial_number16770[] = {1, 1, 1, 7, 23, 55, 91, 83, 479, 305, 843, 2055, 3405, 15243, 31551, 5275, 8651, 66915, 0};
static int joe_kuo_d6_initial_number16771[] = {1, 3, 7, 9, 3, 19, 83, 229, 235, 903, 1495, 1033, 2729, 14927, 11847, 22979, 13905, 84413, 0};
static int joe_kuo_d6_initial_number16772[] = {1, 3, 3, 13, 27, 37, 83, 193, 475, 439, 745, 757, 7359, 6683, 5839, 50765, 6933, 117411, 0};
static int joe_kuo_d6_initial_number16773[] = {1, 3, 5, 11, 31, 25, 33, 77, 113, 815, 123, 2721, 2133, 8995, 15237, 54565, 5155, 51235, 0};
static int joe_kuo_d6_initial_number16774[] = {1, 3, 3, 7, 15, 31, 73, 91, 379, 39, 913, 53, 41, 1059, 25883, 11769, 63015, 48125, 0};
static int joe_kuo_d6_initial_number16775[] = {1, 1, 5, 5, 5, 13, 81, 169, 71, 529, 1429, 2101, 4069, 5509, 30283, 40625, 103673, 183243, 0};
static int joe_kuo_d6_initial_number16776[] = {1, 3, 3, 5, 23, 39, 39, 237, 445, 567, 343, 2521, 2287, 1851, 2315, 59979, 5015, 243349, 0};
static int joe_kuo_d6_initial_number16777[] = {1, 1, 7, 1, 1, 51, 89, 229, 187, 207, 245, 3521, 2987, 4347, 6997, 62565, 54397, 140473, 0};
static int joe_kuo_d6_initial_number16778[] = {1, 3, 1, 5, 7, 59, 45, 161, 457, 655, 1591, 215, 2213, 15101, 14791, 40397, 95811, 126291, 0};
static int joe_kuo_d6_initial_number16779[] = {1, 1, 3, 1, 5, 23, 7, 199, 143, 561, 1669, 17, 8109, 11003, 4535, 8593, 112021, 223153, 0};
static int joe_kuo_d6_initial_number16780[] = {1, 3, 5, 9, 3, 37, 111, 15, 235, 697, 385, 2197, 909, 1247, 26199, 50661, 100643, 122577, 0};
static int joe_kuo_d6_initial_number16781[] = {1, 3, 5, 11, 23, 53, 95, 75, 463, 137, 1511, 3373, 3071, 547, 22399, 51891, 9123, 240925, 0};
static int joe_kuo_d6_initial_number16782[] = {1, 3, 7, 3, 21, 35, 69, 197, 371, 15, 185, 3539, 29, 15071, 17069, 34669, 37023, 189385, 0};
static int joe_kuo_d6_initial_number16783[] = {1, 1, 1, 15, 5, 21, 7, 5, 201, 881, 841, 827, 503, 3545, 17771, 64481, 65105, 209947, 0};
static int joe_kuo_d6_initial_number16784[] = {1, 1, 1, 5, 3, 31, 83, 201, 455, 169, 1797, 1769, 1999, 8629, 14313, 16851, 64955, 180631, 0};
static int joe_kuo_d6_initial_number16785[] = {1, 1, 5, 5, 1, 35, 49, 61, 499, 619, 1509, 3015, 237, 8979, 3471, 11513, 80193, 24135, 0};
static int joe_kuo_d6_initial_number16786[] = {1, 3, 3, 9, 25, 29, 111, 19, 339, 739, 1751, 2671, 5399, 5965, 3943, 45577, 70605, 203117, 0};
static int joe_kuo_d6_initial_number16787[] = {1, 3, 3, 7, 3, 9, 15, 147, 177, 545, 161, 2211, 4653, 15891, 15939, 19153, 77827, 245787, 0};
static int joe_kuo_d6_initial_number16788[] = {1, 1, 1, 1, 25, 47, 37, 159, 273, 825, 1037, 2047, 7149, 5517, 699, 49687, 110115, 159475, 0};
static int joe_kuo_d6_initial_number16789[] = {1, 3, 1, 7, 7, 55, 77, 231, 197, 381, 2013, 2421, 7551, 9955, 21031, 11365, 48271, 190147, 0};
static int joe_kuo_d6_initial_number16790[] = {1, 1, 5, 9, 25, 1, 81, 145, 215, 427, 905, 2307, 6149, 12777, 131, 57091, 106137, 24625, 0};
static int joe_kuo_d6_initial_number16791[] = {1, 3, 1, 13, 13, 63, 103, 245, 275, 745, 841, 2993, 2083, 8903, 4499, 55979, 22323, 244447, 0};
static int joe_kuo_d6_initial_number16792[] = {1, 1, 5, 5, 15, 11, 59, 181, 191, 219, 599, 59, 1079, 4445, 16537, 31127, 103257, 233855, 0};
static int joe_kuo_d6_initial_number16793[] = {1, 3, 7, 9, 9, 37, 109, 41, 145, 1001, 609, 551, 6843, 13791, 15103, 27851, 7693, 145207, 0};
static int joe_kuo_d6_initial_number16794[] = {1, 3, 1, 9, 3, 35, 63, 219, 49, 567, 1537, 1327, 6487, 16039, 26019, 13851, 116929, 175121, 0};
static int joe_kuo_d6_initial_number16795[] = {1, 3, 7, 15, 17, 31, 27, 91, 241, 229, 485, 2601, 3859, 12609, 19847, 31939, 50815, 235529, 0};
static int joe_kuo_d6_initial_number16796[] = {1, 1, 5, 15, 27, 31, 3, 47, 69, 427, 95, 1445, 1223, 2953, 32343, 6841, 67851, 79561, 0};
static int joe_kuo_d6_initial_number16797[] = {1, 3, 5, 13, 13, 37, 19, 127, 259, 139, 1597, 651, 4845, 6413, 18205, 56005, 32107, 140783, 0};
static int joe_kuo_d6_initial_number16798[] = {1, 1, 7, 5, 15, 23, 81, 195, 127, 113, 499, 733, 5907, 12107, 18105, 28113, 16111, 152327, 0};
static int joe_kuo_d6_initial_number16799[] = {1, 1, 5, 15, 9, 49, 109, 181, 187, 591, 1625, 3641, 313, 1225, 11725, 9047, 30351, 124301, 0};
static int joe_kuo_d6_initial_number16800[] = {1, 3, 1, 1, 9, 45, 103, 219, 155, 805, 1775, 759, 1687, 11415, 21623, 37831, 18995, 21667, 0};
static int joe_kuo_d6_initial_number16801[] = {1, 3, 3, 5, 25, 13, 11, 37, 489, 935, 373, 811, 5045, 3615, 2111, 22909, 117155, 69483, 0};
static int joe_kuo_d6_initial_number16802[] = {1, 3, 3, 5, 9, 45, 71, 87, 265, 93, 161, 2983, 1023, 3633, 5965, 9499, 35653, 219257, 0};
static int joe_kuo_d6_initial_number16803[] = {1, 1, 5, 13, 21, 27, 101, 231, 85, 469, 1023, 3735, 5093, 253, 22585, 61975, 81041, 4175, 0};
static int joe_kuo_d6_initial_number16804[] = {1, 3, 1, 7, 5, 41, 105, 153, 391, 5, 1917, 331, 7679, 14359, 13177, 40755, 78669, 133527, 0};
static int joe_kuo_d6_initial_number16805[] = {1, 3, 3, 15, 21, 61, 87, 63, 227, 195, 1095, 1629, 7787, 5887, 20855, 30203, 61973, 30627, 0};
static int joe_kuo_d6_initial_number16806[] = {1, 3, 1, 15, 31, 41, 125, 223, 201, 717, 1309, 595, 5333, 10585, 32525, 8597, 92637, 111073, 0};
static int joe_kuo_d6_initial_number16807[] = {1, 3, 5, 3, 21, 29, 39, 105, 275, 515, 503, 79, 6715, 14203, 14035, 20871, 122417, 243167, 0};
static int joe_kuo_d6_initial_number16808[] = {1, 3, 7, 5, 29, 41, 3, 89, 165, 879, 773, 3989, 3945, 4771, 2809, 59105, 37177, 193887, 0};
static int joe_kuo_d6_initial_number16809[] = {1, 3, 3, 3, 27, 1, 91, 191, 135, 257, 527, 2971, 7117, 6013, 8735, 52363, 110617, 96959, 0};
static int joe_kuo_d6_initial_number16810[] = {1, 3, 7, 9, 3, 63, 67, 67, 231, 23, 1539, 771, 1485, 4331, 19231, 50539, 15081, 75945, 0};
static int joe_kuo_d6_initial_number16811[] = {1, 3, 3, 11, 29, 11, 77, 67, 497, 861, 21, 2939, 2463, 14435, 27399, 19733, 118207, 60909, 0};
static int joe_kuo_d6_initial_number16812[] = {1, 1, 5, 5, 1, 11, 117, 55, 485, 877, 1213, 2231, 2613, 14027, 18491, 45431, 113303, 28457, 0};
static int joe_kuo_d6_initial_number16813[] = {1, 3, 7, 1, 13, 49, 77, 59, 455, 251, 1033, 3451, 7641, 389, 3987, 62361, 90125, 94569, 0};
static int joe_kuo_d6_initial_number16814[] = {1, 1, 7, 15, 3, 5, 45, 173, 343, 445, 1871, 2505, 1385, 2641, 21299, 35139, 61781, 101195, 0};
static int joe_kuo_d6_initial_number16815[] = {1, 3, 1, 9, 25, 27, 89, 123, 473, 901, 1513, 2585, 5641, 13123, 22653, 32985, 15763, 9161, 0};
static int joe_kuo_d6_initial_number16816[] = {1, 3, 3, 9, 29, 41, 5, 127, 489, 715, 1981, 3953, 3557, 10081, 31913, 52191, 118727, 4443, 0};
static int joe_kuo_d6_initial_number16817[] = {1, 1, 5, 1, 19, 57, 125, 33, 253, 297, 265, 2249, 6859, 14971, 3519, 24783, 127491, 210441, 0};
static int joe_kuo_d6_initial_number16818[] = {1, 1, 7, 7, 31, 1, 47, 175, 305, 933, 679, 317, 7511, 13219, 9509, 61183, 58907, 72905, 0};
static int joe_kuo_d6_initial_number16819[] = {1, 1, 1, 7, 13, 49, 75, 85, 341, 911, 1217, 3631, 1849, 9715, 23193, 947, 106647, 180455, 0};
static int joe_kuo_d6_initial_number16820[] = {1, 1, 7, 7, 1, 49, 91, 195, 329, 771, 607, 1707, 2723, 291, 21393, 6549, 31645, 151431, 0};
static int joe_kuo_d6_initial_number16821[] = {1, 3, 7, 5, 17, 57, 7, 231, 247, 217, 1729, 3231, 7515, 15341, 18681, 21733, 28723, 228187, 0};
static int joe_kuo_d6_initial_number16822[] = {1, 1, 5, 9, 5, 19, 121, 251, 43, 951, 957, 173, 4863, 5027, 6781, 29421, 4877, 47749, 0};
static int joe_kuo_d6_initial_number16823[] = {1, 3, 7, 7, 11, 33, 107, 233, 329, 589, 869, 913, 7687, 13223, 27577, 24379, 13037, 214713, 0};
static int joe_kuo_d6_initial_number16824[] = {1, 3, 7, 13, 1, 13, 121, 103, 387, 193, 543, 3085, 4323, 9885, 24499, 34985, 45763, 13107, 0};
static int joe_kuo_d6_initial_number16825[] = {1, 1, 3, 15, 25, 63, 85, 41, 457, 779, 1199, 2235, 309, 2549, 3341, 36265, 17873, 32361, 0};
static int joe_kuo_d6_initial_number16826[] = {1, 3, 3, 3, 15, 31, 11, 57, 499, 415, 1625, 1195, 6863, 6073, 25083, 57705, 76203, 130993, 0};
static int joe_kuo_d6_initial_number16827[] = {1, 3, 5, 5, 21, 13, 43, 161, 255, 31, 1901, 3325, 3209, 9809, 8227, 9005, 57263, 95095, 0};
static int joe_kuo_d6_initial_number16828[] = {1, 1, 3, 15, 13, 33, 5, 123, 291, 579, 1747, 3319, 7351, 1679, 11365, 26909, 74445, 139017, 0};
static int joe_kuo_d6_initial_number16829[] = {1, 1, 3, 13, 17, 39, 1, 253, 487, 935, 1711, 1397, 503, 7817, 28509, 20665, 78551, 204319, 0};
static int joe_kuo_d6_initial_number16830[] = {1, 1, 3, 1, 5, 39, 123, 105, 305, 77, 63, 3285, 7463, 11199, 647, 37757, 91083, 108325, 0};
static int joe_kuo_d6_initial_number16831[] = {1, 1, 7, 5, 9, 49, 121, 155, 389, 119, 1327, 3583, 7715, 2705, 20047, 19151, 101455, 205263, 0};
static int joe_kuo_d6_initial_number16832[] = {1, 1, 5, 7, 31, 23, 13, 109, 103, 41, 433, 3609, 4973, 11481, 8381, 4725, 113633, 134651, 0};
static int joe_kuo_d6_initial_number16833[] = {1, 3, 7, 7, 25, 25, 107, 189, 89, 625, 187, 2185, 713, 10107, 11139, 63681, 97005, 79329, 0};
static int joe_kuo_d6_initial_number16834[] = {1, 3, 1, 11, 3, 41, 43, 161, 337, 955, 1035, 451, 5989, 3593, 18087, 22667, 110213, 128545, 0};
static int joe_kuo_d6_initial_number16835[] = {1, 1, 5, 1, 25, 31, 95, 113, 205, 565, 557, 3885, 7163, 10703, 27159, 11395, 117459, 52439, 0};
static int joe_kuo_d6_initial_number16836[] = {1, 1, 1, 5, 27, 31, 39, 61, 323, 983, 1361, 2387, 5401, 8287, 17855, 49783, 65327, 202861, 0};
static int joe_kuo_d6_initial_number16837[] = {1, 3, 5, 3, 31, 39, 105, 113, 183, 311, 667, 945, 3677, 14623, 27907, 16673, 77899, 182863, 0};
static int joe_kuo_d6_initial_number16838[] = {1, 1, 5, 3, 17, 27, 99, 93, 81, 805, 1799, 2855, 6859, 3917, 26177, 22307, 59213, 210123, 0};
static int joe_kuo_d6_initial_number16839[] = {1, 3, 5, 1, 19, 37, 51, 65, 495, 229, 229, 1283, 2967, 5329, 24339, 58739, 23145, 7033, 0};
static int joe_kuo_d6_initial_number16840[] = {1, 3, 3, 15, 11, 51, 121, 41, 75, 845, 1771, 3625, 6137, 3463, 11767, 45181, 70907, 42771, 0};
static int joe_kuo_d6_initial_number16841[] = {1, 3, 7, 9, 15, 25, 55, 219, 265, 655, 167, 1247, 5409, 5623, 21045, 12333, 25799, 218601, 0};
static int joe_kuo_d6_initial_number16842[] = {1, 3, 3, 13, 31, 39, 77, 155, 471, 969, 755, 2745, 3057, 3621, 32423, 48687, 9409, 90997, 0};
static int joe_kuo_d6_initial_number16843[] = {1, 1, 3, 15, 27, 1, 77, 231, 147, 235, 2027, 4045, 7431, 14655, 6361, 43155, 9839, 161713, 0};
static int joe_kuo_d6_initial_number16844[] = {1, 3, 7, 5, 25, 19, 25, 75, 415, 931, 457, 3691, 687, 4849, 15469, 42871, 37949, 74163, 0};
static int joe_kuo_d6_initial_number16845[] = {1, 3, 5, 9, 17, 19, 29, 117, 387, 1021, 1159, 2467, 2585, 2563, 9155, 44763, 93319, 6321, 0};
static int joe_kuo_d6_initial_number16846[] = {1, 3, 5, 7, 25, 33, 127, 175, 143, 705, 539, 2563, 945, 11369, 19971, 19019, 116195, 84121, 0};
static int joe_kuo_d6_initial_number16847[] = {1, 3, 7, 7, 5, 55, 29, 1, 419, 715, 1275, 2983, 7853, 12245, 32109, 27371, 123547, 82723, 0};
static int joe_kuo_d6_initial_number16848[] = {1, 1, 1, 13, 3, 29, 31, 213, 195, 609, 1465, 1711, 6747, 13309, 1131, 3151, 48779, 91571, 0};
static int joe_kuo_d6_initial_number16849[] = {1, 1, 5, 3, 17, 7, 103, 7, 217, 87, 1641, 833, 4551, 14205, 15119, 6711, 111273, 200545, 0};
static int joe_kuo_d6_initial_number16850[] = {1, 3, 1, 5, 3, 39, 99, 15, 433, 895, 165, 4049, 3183, 4385, 24695, 40009, 67151, 156643, 0};
static int joe_kuo_d6_initial_number16851[] = {1, 1, 7, 3, 29, 9, 15, 27, 109, 1019, 327, 2837, 5297, 12455, 2355, 37703, 122995, 177871, 0};
static int joe_kuo_d6_initial_number16852[] = {1, 1, 5, 15, 29, 5, 121, 117, 31, 155, 1027, 1105, 8057, 8677, 9523, 3019, 98801, 15539, 0};
static int joe_kuo_d6_initial_number16853[] = {1, 3, 7, 3, 1, 1, 37, 67, 471, 317, 1571, 2801, 7383, 4339, 8095, 45685, 95885, 39577, 0};
static int joe_kuo_d6_initial_number16854[] = {1, 3, 7, 13, 17, 13, 91, 79, 49, 321, 1235, 311, 129, 6537, 6643, 25813, 48251, 138823, 0};
static int joe_kuo_d6_initial_number16855[] = {1, 1, 5, 3, 21, 19, 67, 61, 153, 611, 1819, 3755, 5959, 3419, 6117, 1159, 68925, 146199, 0};
static int joe_kuo_d6_initial_number16856[] = {1, 1, 7, 9, 23, 3, 7, 13, 429, 463, 653, 3461, 6337, 4511, 18097, 44837, 99845, 37101, 0};
static int joe_kuo_d6_initial_number16857[] = {1, 3, 5, 13, 9, 5, 123, 199, 83, 409, 1391, 1567, 7327, 8173, 30971, 18241, 7755, 185375, 0};
static int joe_kuo_d6_initial_number16858[] = {1, 3, 1, 7, 19, 51, 51, 23, 85, 923, 1969, 2329, 7343, 12489, 16135, 64783, 117063, 141071, 0};
static int joe_kuo_d6_initial_number16859[] = {1, 3, 1, 3, 23, 29, 5, 77, 207, 351, 367, 2097, 2639, 9255, 21971, 64167, 98069, 81153, 0};
static int joe_kuo_d6_initial_number16860[] = {1, 1, 7, 15, 27, 1, 83, 255, 47, 935, 567, 3573, 3629, 5833, 483, 1001, 9337, 119847, 0};
static int joe_kuo_d6_initial_number16861[] = {1, 3, 7, 11, 31, 53, 25, 35, 463, 51, 401, 3279, 7709, 11265, 17905, 40423, 26277, 43355, 0};
static int joe_kuo_d6_initial_number16862[] = {1, 1, 7, 5, 9, 15, 73, 217, 239, 405, 1651, 2131, 6791, 11241, 21717, 7393, 77251, 28131, 0};
static int joe_kuo_d6_initial_number16863[] = {1, 3, 5, 3, 13, 43, 115, 159, 215, 811, 1349, 2941, 2073, 1821, 6891, 17285, 72027, 137849, 0};
static int joe_kuo_d6_initial_number16864[] = {1, 3, 3, 3, 15, 11, 29, 53, 307, 409, 1069, 3713, 3205, 6185, 2565, 14973, 46149, 162527, 0};
static int joe_kuo_d6_initial_number16865[] = {1, 1, 3, 15, 21, 39, 61, 209, 211, 123, 697, 2285, 859, 2501, 5847, 56449, 106575, 261069, 0};
static int joe_kuo_d6_initial_number16866[] = {1, 3, 3, 5, 25, 21, 39, 131, 189, 747, 1499, 1865, 3369, 9161, 12543, 63155, 70083, 69441, 0};
static int joe_kuo_d6_initial_number16867[] = {1, 3, 1, 15, 31, 43, 127, 57, 169, 109, 979, 1399, 3065, 5865, 16891, 56003, 14319, 94109, 0};
static int joe_kuo_d6_initial_number16868[] = {1, 1, 1, 13, 23, 57, 13, 239, 139, 41, 1959, 429, 209, 543, 21297, 15343, 16521, 52305, 0};
static int joe_kuo_d6_initial_number16869[] = {1, 1, 7, 1, 17, 1, 115, 139, 93, 123, 867, 3257, 8135, 12089, 1503, 33287, 79283, 151419, 0};
static int joe_kuo_d6_initial_number16870[] = {1, 3, 7, 7, 27, 17, 15, 253, 89, 959, 597, 2193, 3505, 13865, 2179, 58711, 114615, 15227, 0};
static int joe_kuo_d6_initial_number16871[] = {1, 3, 7, 5, 1, 5, 105, 241, 361, 229, 1069, 3815, 1409, 4909, 31785, 46555, 123523, 53259, 0};
static int joe_kuo_d6_initial_number16872[] = {1, 1, 5, 5, 15, 49, 13, 195, 467, 285, 1405, 3011, 2069, 8331, 13953, 31107, 46581, 154615, 0};
static int joe_kuo_d6_initial_number16873[] = {1, 3, 5, 7, 21, 23, 17, 17, 345, 369, 1521, 3755, 2165, 15387, 2851, 11115, 60483, 236049, 0};
static int joe_kuo_d6_initial_number16874[] = {1, 3, 3, 1, 5, 41, 53, 239, 127, 237, 609, 927, 3787, 5059, 1865, 52991, 56229, 102093, 0};
static int joe_kuo_d6_initial_number16875[] = {1, 1, 7, 5, 23, 7, 15, 199, 325, 695, 1525, 3435, 3997, 11577, 22985, 57713, 94309, 218433, 0};
static int joe_kuo_d6_initial_number16876[] = {1, 3, 3, 5, 25, 25, 61, 99, 237, 447, 1905, 783, 5239, 11415, 16833, 27815, 115539, 161111, 0};
static int joe_kuo_d6_initial_number16877[] = {1, 1, 5, 9, 31, 49, 55, 199, 159, 751, 849, 1045, 5485, 8883, 8549, 11735, 35983, 161067, 0};
static int joe_kuo_d6_initial_number16878[] = {1, 1, 5, 9, 23, 51, 79, 171, 87, 493, 1911, 3867, 3435, 493, 16639, 64085, 97797, 244959, 0};
static int joe_kuo_d6_initial_number16879[] = {1, 1, 5, 11, 29, 33, 15, 107, 283, 545, 1995, 995, 7181, 3581, 8621, 42391, 117997, 397, 0};
static int joe_kuo_d6_initial_number16880[] = {1, 3, 7, 13, 31, 25, 91, 75, 123, 451, 1023, 375, 4505, 13235, 8913, 34389, 77385, 168659, 0};
static int joe_kuo_d6_initial_number16881[] = {1, 1, 3, 3, 3, 3, 85, 143, 173, 709, 1313, 593, 6931, 14609, 13803, 30305, 109089, 11473, 0};
static int joe_kuo_d6_initial_number16882[] = {1, 3, 7, 5, 25, 45, 25, 223, 407, 597, 83, 2543, 3823, 13959, 9089, 28325, 29237, 57147, 0};
static int joe_kuo_d6_initial_number16883[] = {1, 1, 1, 3, 25, 53, 57, 255, 231, 361, 109, 113, 6091, 13043, 28399, 29111, 57987, 137709, 0};
static int joe_kuo_d6_initial_number16884[] = {1, 1, 1, 5, 11, 25, 53, 141, 275, 237, 1427, 1691, 6043, 8951, 10683, 17477, 117645, 89007, 0};
static int joe_kuo_d6_initial_number16885[] = {1, 3, 3, 13, 7, 23, 73, 213, 285, 667, 1765, 1545, 1401, 12483, 6349, 47205, 25791, 16749, 0};
static int joe_kuo_d6_initial_number16886[] = {1, 1, 1, 15, 31, 45, 105, 249, 385, 607, 723, 745, 7037, 15735, 3637, 29013, 127315, 165507, 0};
static int joe_kuo_d6_initial_number16887[] = {1, 1, 7, 5, 21, 63, 95, 247, 161, 839, 939, 931, 4277, 7363, 8289, 55183, 122413, 152997, 0};
static int joe_kuo_d6_initial_number16888[] = {1, 3, 7, 11, 15, 59, 91, 5, 209, 31, 1581, 979, 6289, 11443, 26641, 20183, 106907, 128647, 0};
static int joe_kuo_d6_initial_number16889[] = {1, 1, 3, 15, 21, 33, 117, 89, 457, 405, 1971, 2211, 4379, 16189, 7933, 39351, 79813, 56373, 0};
static int joe_kuo_d6_initial_number16890[] = {1, 3, 3, 9, 5, 9, 93, 75, 55, 271, 321, 3143, 3893, 2601, 26169, 35179, 43063, 156635, 0};
static int joe_kuo_d6_initial_number16891[] = {1, 3, 3, 11, 29, 37, 95, 249, 221, 965, 423, 1637, 4663, 14839, 16757, 4261, 128453, 165593, 0};
static int joe_kuo_d6_initial_number16892[] = {1, 3, 3, 7, 1, 55, 31, 235, 447, 839, 721, 1125, 6503, 4019, 23351, 37057, 96103, 143805, 0};
static int joe_kuo_d6_initial_number16893[] = {1, 3, 7, 5, 31, 39, 7, 157, 469, 719, 1613, 395, 8133, 9753, 17323, 13849, 45409, 7601, 0};
static int joe_kuo_d6_initial_number16894[] = {1, 3, 7, 7, 31, 37, 89, 215, 453, 659, 605, 3325, 987, 4611, 29667, 23229, 4201, 229675, 0};
static int joe_kuo_d6_initial_number16895[] = {1, 1, 5, 5, 3, 3, 21, 249, 377, 343, 1751, 891, 5275, 14853, 32703, 51001, 6759, 162991, 0};
static int joe_kuo_d6_initial_number16896[] = {1, 3, 1, 13, 11, 21, 55, 17, 495, 481, 1817, 919, 2495, 16367, 3343, 16997, 83437, 127791, 0};
static int joe_kuo_d6_initial_number16897[] = {1, 3, 1, 1, 5, 57, 65, 223, 33, 491, 1953, 1521, 4903, 5007, 14583, 17321, 82231, 206299, 0};
static int joe_kuo_d6_initial_number16898[] = {1, 3, 7, 11, 21, 45, 55, 141, 185, 379, 851, 885, 3385, 10311, 701, 2983, 71045, 171525, 0};
static int joe_kuo_d6_initial_number16899[] = {1, 3, 7, 3, 29, 1, 53, 139, 7, 985, 291, 3949, 1163, 14637, 363, 59679, 121571, 121081, 0};
static int joe_kuo_d6_initial_number16900[] = {1, 3, 7, 1, 31, 1, 111, 19, 421, 917, 1529, 1361, 4461, 12457, 9791, 19985, 77283, 117059, 0};
static int joe_kuo_d6_initial_number16901[] = {1, 3, 1, 5, 7, 55, 93, 243, 477, 193, 1983, 489, 3735, 1391, 24035, 36395, 49101, 175861, 0};
static int joe_kuo_d6_initial_number16902[] = {1, 1, 1, 11, 3, 25, 69, 167, 351, 193, 1299, 617, 7455, 2545, 18359, 9951, 119513, 128139, 0};
static int joe_kuo_d6_initial_number16903[] = {1, 3, 3, 7, 5, 23, 101, 47, 385, 591, 345, 3501, 531, 3277, 28945, 18695, 58587, 87221, 0};
static int joe_kuo_d6_initial_number16904[] = {1, 1, 3, 3, 29, 47, 5, 91, 365, 1, 2015, 323, 1601, 10615, 28975, 60263, 4813, 143351, 0};
static int joe_kuo_d6_initial_number16905[] = {1, 3, 1, 7, 25, 43, 65, 211, 91, 759, 985, 3675, 5701, 4373, 27781, 51949, 40667, 102665, 0};
static int joe_kuo_d6_initial_number16906[] = {1, 3, 3, 5, 3, 43, 91, 33, 247, 593, 849, 1955, 7769, 2307, 2877, 26037, 28907, 211021, 0};
static int joe_kuo_d6_initial_number16907[] = {1, 3, 5, 15, 29, 29, 85, 97, 99, 979, 2033, 1415, 2955, 15733, 5567, 6241, 100195, 89077, 0};
static int joe_kuo_d6_initial_number16908[] = {1, 3, 7, 13, 13, 19, 121, 211, 381, 73, 1131, 1881, 1693, 7873, 27557, 201, 24997, 202471, 0};
static int joe_kuo_d6_initial_number16909[] = {1, 3, 1, 15, 15, 33, 11, 99, 479, 271, 1873, 1117, 3559, 6605, 15995, 44805, 12465, 71933, 0};
static int joe_kuo_d6_initial_number16910[] = {1, 3, 5, 3, 19, 61, 15, 55, 423, 431, 1321, 3345, 1633, 4587, 24909, 54985, 31831, 181083, 0};
static int joe_kuo_d6_initial_number16911[] = {1, 1, 3, 5, 29, 43, 49, 205, 415, 907, 1651, 57, 3043, 10763, 16255, 9567, 59453, 135637, 0};
static int joe_kuo_d6_initial_number16912[] = {1, 3, 3, 1, 17, 11, 29, 33, 293, 203, 1687, 1565, 6131, 5435, 29023, 28425, 102151, 251913, 0};
static int joe_kuo_d6_initial_number16913[] = {1, 1, 5, 7, 9, 9, 43, 191, 269, 681, 607, 3045, 2799, 14919, 8083, 57781, 19345, 49365, 0};
static int joe_kuo_d6_initial_number16914[] = {1, 1, 5, 13, 11, 53, 67, 127, 117, 395, 575, 1651, 2601, 15019, 21413, 34433, 66847, 84159, 0};
static int joe_kuo_d6_initial_number16915[] = {1, 3, 5, 5, 15, 59, 33, 41, 301, 699, 1479, 2285, 1813, 2459, 4775, 53213, 26039, 223155, 0};
static int joe_kuo_d6_initial_number16916[] = {1, 3, 1, 15, 17, 57, 5, 211, 357, 175, 945, 3625, 3943, 12871, 26805, 29305, 8839, 107837, 0};
static int joe_kuo_d6_initial_number16917[] = {1, 3, 5, 15, 21, 41, 105, 229, 265, 777, 2047, 767, 2901, 8873, 7631, 18545, 86697, 252965, 0};
static int joe_kuo_d6_initial_number16918[] = {1, 1, 5, 11, 31, 63, 115, 119, 271, 921, 1221, 3341, 6083, 4293, 28581, 57323, 33889, 112577, 0};
static int joe_kuo_d6_initial_number16919[] = {1, 1, 5, 5, 31, 21, 119, 93, 287, 139, 451, 2535, 3925, 10671, 21279, 55071, 76127, 248203, 0};
static int joe_kuo_d6_initial_number16920[] = {1, 3, 7, 11, 19, 61, 61, 53, 203, 181, 963, 3581, 519, 14679, 7717, 31981, 128709, 197269, 0};
static int joe_kuo_d6_initial_number16921[] = {1, 1, 1, 13, 25, 23, 89, 95, 221, 803, 1433, 3617, 3217, 2033, 7859, 14279, 107239, 5139, 0};
static int joe_kuo_d6_initial_number16922[] = {1, 3, 7, 3, 29, 41, 87, 21, 71, 959, 1149, 2961, 7471, 11665, 16037, 5791, 110155, 35365, 0};
static int joe_kuo_d6_initial_number16923[] = {1, 1, 1, 11, 21, 49, 101, 45, 311, 529, 1301, 1377, 983, 3937, 6967, 8413, 33511, 9617, 0};
static int joe_kuo_d6_initial_number16924[] = {1, 3, 3, 5, 15, 41, 107, 49, 409, 537, 289, 3351, 5307, 16221, 907, 39847, 61579, 161487, 0};
static int joe_kuo_d6_initial_number16925[] = {1, 1, 3, 11, 5, 49, 71, 107, 431, 469, 453, 1367, 7811, 10485, 3861, 62797, 82025, 253785, 0};
static int joe_kuo_d6_initial_number16926[] = {1, 1, 3, 3, 27, 19, 89, 13, 445, 915, 1259, 1423, 3987, 3661, 18183, 18521, 18831, 191447, 0};
static int joe_kuo_d6_initial_number16927[] = {1, 1, 7, 5, 13, 15, 9, 89, 129, 949, 1733, 245, 6815, 8477, 1273, 34737, 33027, 191415, 0};
static int joe_kuo_d6_initial_number16928[] = {1, 1, 7, 15, 25, 63, 83, 195, 319, 987, 1395, 3559, 6287, 5139, 25967, 48711, 58467, 110983, 0};
static int joe_kuo_d6_initial_number16929[] = {1, 1, 3, 9, 5, 3, 35, 171, 15, 883, 915, 2451, 871, 11741, 32715, 33475, 81711, 259157, 0};
static int joe_kuo_d6_initial_number16930[] = {1, 1, 7, 13, 23, 63, 33, 11, 117, 351, 1701, 671, 6753, 5, 9477, 54701, 65507, 242621, 0};
static int joe_kuo_d6_initial_number16931[] = {1, 3, 7, 11, 21, 37, 127, 143, 369, 819, 1369, 93, 7009, 3773, 30153, 30181, 120783, 137857, 0};
static int joe_kuo_d6_initial_number16932[] = {1, 3, 3, 7, 27, 61, 15, 141, 67, 815, 1449, 1129, 4703, 3811, 3067, 61697, 8881, 110957, 0};
static int joe_kuo_d6_initial_number16933[] = {1, 1, 7, 13, 31, 21, 59, 75, 335, 851, 503, 251, 4869, 11789, 30871, 14641, 19319, 156843, 0};
static int joe_kuo_d6_initial_number16934[] = {1, 3, 5, 5, 9, 41, 11, 67, 231, 945, 37, 2925, 5723, 9053, 13477, 59735, 75181, 60335, 0};
static int joe_kuo_d6_initial_number16935[] = {1, 1, 5, 1, 13, 39, 81, 43, 363, 611, 1661, 3833, 7387, 10531, 21319, 55579, 102705, 103009, 0};
static int joe_kuo_d6_initial_number16936[] = {1, 3, 1, 7, 23, 25, 67, 179, 327, 401, 1693, 1453, 4773, 6363, 27169, 49747, 29055, 49145, 0};
static int joe_kuo_d6_initial_number16937[] = {1, 3, 5, 7, 13, 47, 5, 175, 369, 921, 507, 113, 6069, 10919, 11099, 19795, 95819, 52419, 0};
static int joe_kuo_d6_initial_number16938[] = {1, 1, 1, 5, 5, 53, 93, 47, 75, 837, 109, 3691, 6961, 10715, 14269, 63791, 1941, 136899, 0};
static int joe_kuo_d6_initial_number16939[] = {1, 1, 1, 3, 1, 63, 57, 117, 157, 327, 879, 2411, 3987, 15393, 8503, 29829, 77795, 121307, 0};
static int joe_kuo_d6_initial_number16940[] = {1, 3, 5, 1, 25, 5, 47, 45, 433, 121, 607, 1233, 6433, 3031, 16369, 58589, 79357, 151353, 0};
static int joe_kuo_d6_initial_number16941[] = {1, 1, 1, 1, 9, 15, 77, 163, 225, 445, 1479, 1267, 2571, 2661, 21489, 5433, 123969, 191967, 0};
static int joe_kuo_d6_initial_number16942[] = {1, 1, 7, 1, 9, 49, 17, 19, 449, 113, 1289, 2335, 3309, 2595, 17819, 18481, 86605, 125911, 0};
static int joe_kuo_d6_initial_number16943[] = {1, 1, 5, 11, 11, 23, 65, 147, 257, 625, 1901, 913, 5711, 8159, 16237, 25133, 100059, 11395, 0};
static int joe_kuo_d6_initial_number16944[] = {1, 3, 7, 13, 5, 33, 89, 189, 171, 185, 751, 2915, 5025, 15981, 14853, 12229, 52829, 59953, 0};
static int joe_kuo_d6_initial_number16945[] = {1, 3, 1, 13, 3, 37, 15, 87, 463, 655, 1927, 2705, 1885, 14801, 3491, 52835, 81761, 90273, 0};
static int joe_kuo_d6_initial_number16946[] = {1, 1, 7, 3, 5, 15, 29, 255, 199, 225, 647, 3215, 6795, 3821, 31763, 31059, 65495, 89981, 0};
static int joe_kuo_d6_initial_number16947[] = {1, 1, 7, 7, 9, 25, 11, 85, 111, 283, 507, 2077, 2993, 5415, 31785, 16495, 82361, 122105, 0};
static int joe_kuo_d6_initial_number16948[] = {1, 1, 3, 11, 27, 21, 127, 175, 397, 419, 1115, 2285, 223, 3881, 4187, 53759, 115035, 181647, 0};
static int joe_kuo_d6_initial_number16949[] = {1, 3, 7, 11, 27, 31, 29, 233, 137, 827, 1009, 3879, 7595, 12989, 27655, 8517, 28083, 214985, 0};
static int joe_kuo_d6_initial_number16950[] = {1, 3, 5, 9, 25, 23, 85, 191, 475, 445, 621, 1341, 4045, 4299, 24933, 32765, 20219, 86949, 0};
static int joe_kuo_d6_initial_number16951[] = {1, 3, 1, 5, 25, 35, 121, 33, 199, 405, 163, 3487, 1087, 743, 21989, 47273, 49221, 124831, 0};
static int joe_kuo_d6_initial_number16952[] = {1, 1, 5, 1, 7, 3, 91, 15, 335, 351, 1311, 777, 4303, 7203, 19465, 9135, 32251, 69805, 0};
static int joe_kuo_d6_initial_number16953[] = {1, 3, 3, 7, 23, 55, 73, 77, 189, 801, 1877, 1901, 2675, 1015, 3041, 35925, 125903, 126227, 0};
static int joe_kuo_d6_initial_number16954[] = {1, 3, 3, 1, 1, 23, 105, 75, 435, 743, 651, 1045, 579, 13637, 14821, 62683, 95229, 156475, 0};
static int joe_kuo_d6_initial_number16955[] = {1, 3, 3, 5, 1, 53, 89, 239, 439, 195, 189, 731, 1805, 15123, 23315, 47737, 29167, 112081, 0};
static int joe_kuo_d6_initial_number16956[] = {1, 1, 5, 7, 31, 11, 119, 191, 155, 61, 247, 915, 5813, 995, 20093, 23379, 118969, 65001, 0};
static int joe_kuo_d6_initial_number16957[] = {1, 3, 7, 3, 1, 61, 45, 85, 295, 269, 539, 1787, 6639, 11093, 11303, 18509, 77637, 200743, 0};
static int joe_kuo_d6_initial_number16958[] = {1, 3, 1, 1, 13, 17, 75, 51, 199, 151, 1529, 1443, 4983, 6723, 6071, 34711, 39159, 5441, 0};
static int joe_kuo_d6_initial_number16959[] = {1, 3, 3, 3, 31, 15, 91, 125, 261, 683, 1769, 1697, 2761, 11373, 13607, 24933, 19079, 55497, 0};
static int joe_kuo_d6_initial_number16960[] = {1, 1, 1, 15, 21, 49, 117, 99, 29, 969, 463, 3869, 1251, 8815, 16443, 46861, 82839, 233325, 0};
static int joe_kuo_d6_initial_number16961[] = {1, 3, 5, 3, 27, 39, 89, 225, 161, 63, 61, 2875, 4037, 10413, 5067, 27893, 78825, 250207, 0};
static int joe_kuo_d6_initial_number16962[] = {1, 1, 1, 9, 13, 49, 93, 11, 23, 25, 2003, 57, 3065, 11241, 13935, 2969, 44235, 39287, 0};
static int joe_kuo_d6_initial_number16963[] = {1, 3, 3, 9, 21, 5, 55, 247, 193, 523, 575, 1235, 3277, 5253, 5293, 7919, 7573, 168809, 0};
static int joe_kuo_d6_initial_number16964[] = {1, 3, 1, 13, 29, 39, 43, 21, 511, 205, 303, 703, 3861, 2467, 3909, 31597, 51081, 9863, 0};
static int joe_kuo_d6_initial_number16965[] = {1, 3, 7, 1, 25, 55, 11, 131, 5, 49, 371, 1683, 1907, 5661, 1015, 15171, 101477, 11221, 0};
static int joe_kuo_d6_initial_number16966[] = {1, 3, 5, 5, 9, 15, 93, 245, 357, 703, 701, 3675, 4527, 9225, 16137, 55433, 81887, 99153, 0};
static int joe_kuo_d6_initial_number16967[] = {1, 1, 3, 3, 11, 1, 39, 251, 291, 599, 643, 231, 4031, 7055, 99, 14039, 81811, 184251, 0};
static int joe_kuo_d6_initial_number16968[] = {1, 3, 5, 13, 29, 55, 11, 117, 325, 401, 2013, 3235, 995, 9255, 2741, 8211, 71451, 180619, 0};
static int joe_kuo_d6_initial_number16969[] = {1, 1, 1, 5, 31, 41, 41, 175, 247, 3, 739, 1391, 3311, 5975, 16921, 4291, 75065, 161745, 0};
static int joe_kuo_d6_initial_number16970[] = {1, 1, 7, 13, 23, 19, 13, 149, 203, 351, 2033, 1867, 3871, 14437, 3793, 17399, 99577, 171605, 0};
static int joe_kuo_d6_initial_number16971[] = {1, 1, 5, 11, 7, 9, 1, 195, 261, 977, 315, 3771, 1179, 16281, 20747, 56309, 108609, 209205, 0};
static int joe_kuo_d6_initial_number16972[] = {1, 3, 3, 5, 19, 15, 123, 153, 325, 601, 393, 753, 93, 4803, 24343, 42645, 128209, 45773, 0};
static int joe_kuo_d6_initial_number16973[] = {1, 3, 1, 13, 3, 29, 97, 95, 115, 539, 155, 2789, 1277, 13127, 20383, 52807, 97295, 54589, 0};
static int joe_kuo_d6_initial_number16974[] = {1, 1, 1, 3, 25, 59, 27, 149, 365, 317, 773, 3379, 5931, 14637, 19881, 37283, 118027, 21557, 0};
static int joe_kuo_d6_initial_number16975[] = {1, 3, 5, 3, 25, 11, 101, 221, 199, 689, 515, 2255, 6107, 6259, 2853, 19039, 117089, 107181, 0};
static int joe_kuo_d6_initial_number16976[] = {1, 3, 5, 7, 29, 63, 19, 113, 249, 147, 737, 3959, 209, 7001, 24263, 20443, 99923, 145709, 0};
static int joe_kuo_d6_initial_number16977[] = {1, 1, 5, 9, 25, 37, 69, 41, 87, 369, 1913, 2255, 7581, 5301, 25751, 24981, 1183, 171969, 0};
static int joe_kuo_d6_initial_number16978[] = {1, 3, 3, 1, 9, 25, 55, 5, 267, 295, 43, 819, 4569, 7065, 31527, 57811, 48721, 107707, 0};
static int joe_kuo_d6_initial_number16979[] = {1, 1, 7, 9, 19, 19, 1, 199, 371, 1003, 597, 2097, 4071, 6185, 879, 13545, 30033, 120313, 0};
static int joe_kuo_d6_initial_number16980[] = {1, 1, 1, 7, 9, 11, 51, 155, 309, 493, 899, 3121, 2085, 10541, 21979, 4725, 70381, 69643, 0};
static int joe_kuo_d6_initial_number16981[] = {1, 1, 1, 1, 13, 45, 123, 119, 459, 295, 1005, 4093, 393, 11063, 27235, 28209, 1671, 215619, 0};
static int joe_kuo_d6_initial_number16982[] = {1, 1, 7, 13, 19, 25, 125, 255, 509, 529, 1577, 3221, 4051, 7697, 2065, 42597, 86295, 131719, 0};
static int joe_kuo_d6_initial_number16983[] = {1, 3, 3, 9, 19, 13, 21, 199, 97, 949, 1297, 379, 1801, 13247, 22563, 49517, 22757, 87371, 0};
static int joe_kuo_d6_initial_number16984[] = {1, 3, 3, 1, 17, 63, 109, 175, 301, 565, 1181, 465, 3457, 7175, 21225, 33149, 122169, 148043, 0};
static int joe_kuo_d6_initial_number16985[] = {1, 1, 1, 1, 5, 7, 21, 251, 53, 369, 955, 583, 4703, 9729, 15853, 55701, 29317, 27, 0};
static int joe_kuo_d6_initial_number16986[] = {1, 3, 3, 1, 31, 3, 53, 57, 231, 441, 109, 149, 8107, 2303, 29729, 42279, 46909, 209877, 0};
static int joe_kuo_d6_initial_number16987[] = {1, 1, 1, 11, 23, 57, 63, 189, 259, 657, 1653, 1155, 2885, 3317, 22559, 3145, 19151, 172507, 0};
static int joe_kuo_d6_initial_number16988[] = {1, 3, 7, 5, 31, 63, 103, 147, 287, 685, 1197, 99, 4907, 12335, 12001, 20303, 75503, 231259, 0};
static int joe_kuo_d6_initial_number16989[] = {1, 3, 3, 13, 15, 33, 63, 11, 99, 299, 97, 2669, 3635, 9969, 1525, 36555, 85215, 86915, 0};
static int joe_kuo_d6_initial_number16990[] = {1, 3, 7, 5, 25, 47, 25, 61, 227, 939, 1719, 245, 2389, 14663, 30671, 22667, 38873, 245509, 0};
static int joe_kuo_d6_initial_number16991[] = {1, 1, 3, 5, 25, 15, 105, 203, 57, 961, 1941, 1241, 3163, 6203, 19631, 10383, 19235, 57569, 0};
static int joe_kuo_d6_initial_number16992[] = {1, 1, 3, 9, 1, 35, 41, 3, 449, 87, 641, 269, 1529, 14559, 16571, 4863, 21625, 921, 0};
static int joe_kuo_d6_initial_number16993[] = {1, 1, 7, 11, 25, 53, 85, 209, 181, 417, 1657, 2117, 4581, 7069, 15533, 64475, 82381, 146943, 0};
static int joe_kuo_d6_initial_number16994[] = {1, 3, 1, 7, 17, 53, 5, 199, 347, 887, 1041, 595, 1843, 10931, 30559, 42849, 73723, 220473, 0};
static int joe_kuo_d6_initial_number16995[] = {1, 3, 7, 7, 21, 53, 105, 21, 141, 575, 1965, 2187, 7293, 13675, 2471, 1259, 42485, 62911, 0};
static int joe_kuo_d6_initial_number16996[] = {1, 1, 3, 9, 5, 27, 21, 101, 101, 71, 1215, 3235, 2451, 14835, 27817, 30079, 124301, 253691, 0};
static int joe_kuo_d6_initial_number16997[] = {1, 1, 7, 1, 11, 37, 105, 127, 115, 157, 279, 2425, 2139, 131, 22717, 40803, 74867, 86021, 0};
static int joe_kuo_d6_initial_number16998[] = {1, 1, 1, 7, 11, 59, 95, 61, 255, 523, 501, 2895, 7531, 8151, 18393, 42069, 120809, 236537, 0};
static int joe_kuo_d6_initial_number16999[] = {1, 1, 1, 7, 17, 23, 31, 59, 377, 187, 873, 1565, 3459, 2975, 11633, 13247, 13095, 193803, 0};
static int joe_kuo_d6_initial_number17000[] = {1, 3, 7, 1, 25, 3, 85, 5, 485, 451, 1385, 1663, 4825, 14019, 29437, 33717, 105343, 161335, 0};
static int joe_kuo_d6_initial_number17001[] = {1, 1, 1, 3, 27, 43, 71, 167, 425, 579, 1739, 3557, 7403, 2023, 6533, 61177, 119273, 85229, 0};
static int joe_kuo_d6_initial_number17002[] = {1, 1, 7, 3, 31, 37, 19, 213, 373, 505, 97, 3669, 7005, 2205, 26519, 61999, 18395, 25967, 0};
static int joe_kuo_d6_initial_number17003[] = {1, 3, 3, 7, 29, 17, 9, 137, 265, 875, 887, 3029, 3295, 11619, 8357, 46241, 23543, 43191, 0};
static int joe_kuo_d6_initial_number17004[] = {1, 1, 5, 1, 25, 43, 33, 133, 65, 7, 1581, 3577, 5997, 6129, 30649, 18923, 56459, 227869, 0};
static int joe_kuo_d6_initial_number17005[] = {1, 1, 5, 13, 27, 45, 27, 111, 429, 565, 1449, 1475, 6613, 4469, 16083, 42349, 66843, 214875, 0};
static int joe_kuo_d6_initial_number17006[] = {1, 3, 1, 1, 21, 21, 107, 7, 15, 675, 233, 4021, 1097, 1393, 6445, 3323, 102435, 249355, 0};
static int joe_kuo_d6_initial_number17007[] = {1, 1, 5, 15, 17, 51, 99, 249, 437, 667, 1921, 2371, 3813, 10543, 19, 39079, 116825, 242821, 0};
static int joe_kuo_d6_initial_number17008[] = {1, 1, 1, 1, 7, 15, 27, 29, 161, 37, 1847, 287, 4379, 1399, 24547, 60361, 68131, 232883, 0};
static int joe_kuo_d6_initial_number17009[] = {1, 1, 3, 9, 17, 21, 41, 169, 61, 771, 241, 1435, 4151, 1789, 12195, 27239, 62371, 165145, 0};
static int joe_kuo_d6_initial_number17010[] = {1, 3, 5, 15, 31, 19, 127, 181, 463, 183, 749, 253, 2403, 1363, 3965, 7953, 124025, 226691, 0};
static int joe_kuo_d6_initial_number17011[] = {1, 1, 3, 7, 17, 57, 85, 89, 17, 33, 819, 2191, 1525, 15651, 23483, 26027, 86379, 40191, 0};
static int joe_kuo_d6_initial_number17012[] = {1, 1, 5, 1, 9, 45, 65, 65, 359, 5, 531, 2581, 6313, 13219, 6005, 36215, 16275, 208253, 0};
static int joe_kuo_d6_initial_number17013[] = {1, 3, 1, 1, 23, 15, 51, 43, 85, 461, 773, 219, 2681, 3377, 9797, 54469, 112871, 231533, 0};
static int joe_kuo_d6_initial_number17014[] = {1, 3, 7, 7, 15, 9, 97, 115, 301, 493, 1085, 2021, 2305, 15003, 11381, 9339, 63015, 179115, 0};
static int joe_kuo_d6_initial_number17015[] = {1, 3, 5, 3, 3, 61, 111, 103, 283, 7, 143, 353, 7815, 7901, 25795, 7577, 92991, 228315, 0};
static int joe_kuo_d6_initial_number17016[] = {1, 1, 7, 13, 29, 3, 53, 105, 83, 531, 497, 729, 1375, 7063, 18655, 35219, 9671, 102913, 0};
static int joe_kuo_d6_initial_number17017[] = {1, 1, 5, 15, 11, 7, 65, 31, 15, 921, 743, 1469, 5669, 5437, 20019, 28123, 5717, 6181, 0};
static int joe_kuo_d6_initial_number17018[] = {1, 3, 3, 15, 19, 1, 3, 183, 315, 595, 1033, 3259, 7815, 8281, 32103, 8699, 59149, 56657, 0};
static int joe_kuo_d6_initial_number17019[] = {1, 1, 1, 7, 9, 1, 87, 81, 267, 637, 1617, 2113, 487, 23, 11213, 29211, 92715, 177767, 0};
static int joe_kuo_d6_initial_number17020[] = {1, 3, 5, 13, 29, 37, 31, 55, 343, 759, 813, 2945, 7189, 4821, 30661, 38373, 2793, 98683, 0};
static int joe_kuo_d6_initial_number17021[] = {1, 3, 5, 7, 9, 43, 113, 145, 103, 303, 1065, 3781, 3527, 9449, 17355, 38301, 74859, 30735, 0};
static int joe_kuo_d6_initial_number17022[] = {1, 1, 1, 1, 3, 53, 53, 27, 119, 701, 1777, 3959, 5911, 8473, 24997, 17557, 11593, 201381, 0};
static int joe_kuo_d6_initial_number17023[] = {1, 3, 3, 9, 3, 3, 107, 115, 423, 531, 735, 931, 8053, 4661, 1919, 29551, 62515, 210255, 0};
static int joe_kuo_d6_initial_number17024[] = {1, 1, 3, 9, 21, 21, 117, 67, 301, 49, 2025, 781, 7951, 15719, 27287, 34551, 115241, 243981, 0};
static int joe_kuo_d6_initial_number17025[] = {1, 1, 7, 9, 9, 25, 87, 229, 375, 353, 445, 3169, 1865, 7305, 11175, 47081, 28609, 107301, 0};
static int joe_kuo_d6_initial_number17026[] = {1, 3, 3, 11, 7, 31, 19, 177, 17, 535, 1353, 2587, 7723, 8039, 13607, 5017, 104937, 207761, 0};
static int joe_kuo_d6_initial_number17027[] = {1, 1, 5, 3, 11, 27, 29, 193, 235, 435, 1451, 3487, 5749, 4825, 9487, 53933, 92061, 223305, 0};
static int joe_kuo_d6_initial_number17028[] = {1, 3, 3, 3, 5, 5, 99, 237, 91, 945, 1373, 3303, 3079, 5345, 6843, 34131, 62851, 259561, 0};
static int joe_kuo_d6_initial_number17029[] = {1, 1, 3, 7, 7, 25, 11, 27, 329, 37, 307, 771, 659, 13045, 25767, 18887, 54407, 251313, 0};
static int joe_kuo_d6_initial_number17030[] = {1, 1, 1, 11, 29, 59, 37, 121, 281, 55, 495, 159, 3925, 4447, 14825, 24831, 103147, 211951, 0};
static int joe_kuo_d6_initial_number17031[] = {1, 3, 3, 7, 23, 31, 59, 67, 303, 383, 1179, 2347, 4001, 14797, 14579, 55365, 112239, 65309, 0};
static int joe_kuo_d6_initial_number17032[] = {1, 3, 3, 9, 15, 17, 61, 123, 339, 319, 765, 1517, 1269, 69, 9065, 32347, 21377, 38449, 0};
static int joe_kuo_d6_initial_number17033[] = {1, 3, 5, 3, 7, 35, 71, 63, 251, 457, 351, 385, 4041, 11489, 14511, 11875, 45307, 205041, 0};
static int joe_kuo_d6_initial_number17034[] = {1, 1, 1, 7, 1, 25, 115, 195, 41, 1001, 835, 767, 7991, 7475, 22397, 36899, 77255, 194827, 0};
static int joe_kuo_d6_initial_number17035[] = {1, 3, 3, 11, 7, 49, 45, 13, 373, 167, 741, 2569, 3781, 1131, 2909, 40387, 77877, 201859, 0};
static int joe_kuo_d6_initial_number17036[] = {1, 3, 5, 3, 17, 11, 123, 137, 65, 835, 1385, 1157, 7387, 12301, 5759, 13137, 30595, 50923, 0};
static int joe_kuo_d6_initial_number17037[] = {1, 1, 5, 7, 1, 55, 57, 97, 377, 223, 115, 2515, 2565, 14965, 10485, 23957, 108239, 160707, 0};
static int joe_kuo_d6_initial_number17038[] = {1, 3, 1, 9, 15, 17, 81, 65, 387, 275, 997, 1485, 4129, 999, 4915, 55867, 103799, 191829, 0};
static int joe_kuo_d6_initial_number17039[] = {1, 1, 1, 5, 15, 5, 35, 167, 249, 419, 267, 503, 469, 3163, 19939, 65501, 88573, 11621, 0};
static int joe_kuo_d6_initial_number17040[] = {1, 3, 3, 13, 7, 9, 101, 125, 371, 97, 1855, 1755, 4103, 12283, 18655, 5965, 17743, 254779, 0};
static int joe_kuo_d6_initial_number17041[] = {1, 1, 3, 7, 13, 15, 119, 227, 451, 863, 1005, 491, 6515, 717, 12783, 14161, 106249, 185297, 0};
static int joe_kuo_d6_initial_number17042[] = {1, 1, 7, 13, 17, 23, 95, 143, 133, 219, 897, 2291, 7469, 923, 22323, 60583, 2457, 197231, 0};
static int joe_kuo_d6_initial_number17043[] = {1, 1, 1, 11, 3, 25, 115, 187, 319, 999, 867, 1725, 6969, 239, 2527, 55283, 91099, 252153, 0};
static int joe_kuo_d6_initial_number17044[] = {1, 1, 7, 9, 3, 37, 107, 25, 425, 95, 631, 2831, 1265, 11509, 18865, 39791, 22281, 220517, 0};
static int joe_kuo_d6_initial_number17045[] = {1, 3, 5, 1, 1, 47, 121, 173, 489, 241, 3, 3707, 7081, 5341, 23143, 7321, 30605, 191665, 0};
static int joe_kuo_d6_initial_number17046[] = {1, 1, 7, 7, 7, 27, 23, 43, 145, 11, 1155, 691, 6993, 9509, 5991, 40705, 58215, 202915, 0};
static int joe_kuo_d6_initial_number17047[] = {1, 3, 5, 1, 31, 1, 7, 189, 379, 431, 417, 3843, 3885, 3263, 16333, 58123, 68307, 33795, 0};
static int joe_kuo_d6_initial_number17048[] = {1, 1, 5, 5, 19, 27, 19, 217, 509, 535, 287, 1637, 4829, 2665, 15393, 35185, 125335, 10909, 0};
static int joe_kuo_d6_initial_number17049[] = {1, 3, 5, 7, 25, 13, 67, 243, 255, 1021, 1203, 821, 7811, 149, 26731, 12913, 18171, 101385, 0};
static int joe_kuo_d6_initial_number17050[] = {1, 1, 1, 3, 25, 61, 59, 207, 449, 789, 1831, 1731, 513, 10099, 291, 1963, 100233, 21847, 0};
static int joe_kuo_d6_initial_number17051[] = {1, 1, 7, 1, 27, 19, 45, 81, 479, 31, 707, 2669, 3589, 15411, 12089, 38235, 60897, 135451, 0};
static int joe_kuo_d6_initial_number17052[] = {1, 3, 5, 15, 11, 3, 113, 169, 171, 21, 1291, 2031, 2023, 5783, 6137, 54637, 50247, 233753, 0};
static int joe_kuo_d6_initial_number17053[] = {1, 1, 5, 1, 11, 13, 73, 97, 269, 801, 1015, 1329, 1779, 15225, 24251, 35191, 8619, 130993, 0};
static int joe_kuo_d6_initial_number17054[] = {1, 1, 7, 9, 9, 19, 35, 255, 505, 513, 547, 405, 3065, 4965, 30877, 50091, 81319, 29273, 0};
static int joe_kuo_d6_initial_number17055[] = {1, 1, 1, 9, 7, 61, 45, 75, 343, 911, 1683, 453, 1225, 10939, 19901, 63685, 123507, 252027, 0};
static int joe_kuo_d6_initial_number17056[] = {1, 1, 5, 11, 21, 55, 37, 161, 143, 463, 1937, 3349, 2953, 14827, 7893, 26581, 128459, 72325, 0};
static int joe_kuo_d6_initial_number17057[] = {1, 3, 5, 9, 31, 57, 115, 77, 225, 859, 621, 731, 5677, 759, 20773, 52285, 65555, 4303, 0};
static int joe_kuo_d6_initial_number17058[] = {1, 1, 3, 15, 23, 15, 49, 171, 137, 449, 855, 565, 5579, 5957, 13643, 8979, 90327, 116349, 0};
static int joe_kuo_d6_initial_number17059[] = {1, 1, 3, 5, 9, 13, 27, 43, 391, 595, 731, 101, 7121, 13555, 29181, 38273, 42309, 175297, 0};
static int joe_kuo_d6_initial_number17060[] = {1, 1, 3, 11, 3, 59, 17, 143, 251, 47, 1391, 1297, 23, 15871, 13153, 44081, 65423, 54875, 0};
static int joe_kuo_d6_initial_number17061[] = {1, 3, 7, 11, 25, 43, 3, 163, 273, 277, 755, 2743, 5909, 10841, 31331, 64131, 13945, 91557, 0};
static int joe_kuo_d6_initial_number17062[] = {1, 3, 1, 13, 31, 35, 5, 165, 417, 623, 1083, 1221, 1051, 8917, 6725, 11385, 76315, 119837, 0};
static int joe_kuo_d6_initial_number17063[] = {1, 1, 5, 3, 21, 53, 47, 247, 471, 877, 709, 2425, 3, 1963, 24331, 52151, 98859, 119033, 0};
static int joe_kuo_d6_initial_number17064[] = {1, 1, 7, 3, 29, 29, 43, 59, 503, 891, 763, 2927, 1613, 9091, 10393, 36003, 61147, 3437, 0};
static int joe_kuo_d6_initial_number17065[] = {1, 1, 5, 15, 27, 59, 73, 163, 425, 855, 349, 3451, 5779, 10523, 9103, 46477, 129873, 39091, 0};
static int joe_kuo_d6_initial_number17066[] = {1, 3, 7, 15, 25, 45, 77, 171, 467, 1017, 1553, 1877, 5507, 3909, 12157, 60441, 98261, 37781, 0};
static int joe_kuo_d6_initial_number17067[] = {1, 1, 7, 13, 13, 39, 99, 51, 197, 327, 1101, 2679, 8025, 11853, 7763, 62537, 96999, 88673, 0};
static int joe_kuo_d6_initial_number17068[] = {1, 3, 1, 11, 5, 61, 29, 219, 471, 387, 319, 433, 5383, 3933, 27603, 61171, 104711, 233295, 0};
static int joe_kuo_d6_initial_number17069[] = {1, 3, 5, 11, 15, 23, 91, 119, 207, 717, 1333, 783, 437, 13073, 10923, 27049, 87233, 174899, 0};
static int joe_kuo_d6_initial_number17070[] = {1, 1, 1, 1, 13, 19, 109, 139, 183, 299, 1023, 3265, 5153, 6307, 27879, 55311, 95201, 19481, 0};
static int joe_kuo_d6_initial_number17071[] = {1, 1, 5, 11, 13, 61, 81, 115, 53, 483, 693, 3527, 5033, 8527, 31345, 46155, 12403, 126815, 0};
static int joe_kuo_d6_initial_number17072[] = {1, 3, 7, 3, 27, 7, 73, 227, 269, 683, 719, 763, 5417, 9523, 13625, 6945, 116225, 223093, 0};
static int joe_kuo_d6_initial_number17073[] = {1, 3, 5, 9, 21, 51, 111, 157, 451, 247, 1375, 1631, 2783, 3371, 22713, 34153, 41949, 141351, 0};
static int joe_kuo_d6_initial_number17074[] = {1, 1, 5, 1, 21, 19, 45, 69, 41, 453, 523, 3163, 7351, 4467, 18865, 35371, 129577, 78039, 0};
static int joe_kuo_d6_initial_number17075[] = {1, 3, 5, 1, 29, 33, 13, 19, 341, 321, 117, 1187, 7021, 5785, 5553, 58055, 113557, 46957, 0};
static int joe_kuo_d6_initial_number17076[] = {1, 1, 5, 5, 13, 59, 47, 59, 69, 125, 1491, 2813, 5005, 5973, 3145, 27579, 7763, 129949, 0};
static int joe_kuo_d6_initial_number17077[] = {1, 1, 7, 11, 11, 7, 117, 235, 407, 749, 1925, 1735, 4499, 13027, 19355, 1981, 105657, 242853, 0};
static int joe_kuo_d6_initial_number17078[] = {1, 1, 7, 1, 15, 19, 5, 247, 203, 707, 809, 2085, 5801, 9947, 569, 9883, 109861, 156751, 0};
static int joe_kuo_d6_initial_number17079[] = {1, 3, 5, 3, 13, 59, 67, 181, 261, 873, 1589, 2249, 7213, 14625, 28403, 41101, 73439, 46873, 0};
static int joe_kuo_d6_initial_number17080[] = {1, 1, 5, 7, 3, 63, 79, 115, 123, 485, 1373, 3781, 4315, 4627, 29003, 64101, 67521, 184053, 0};
static int joe_kuo_d6_initial_number17081[] = {1, 1, 3, 9, 11, 57, 93, 243, 505, 189, 449, 643, 5267, 7447, 32265, 44095, 63015, 36905, 0};
static int joe_kuo_d6_initial_number17082[] = {1, 3, 7, 13, 25, 59, 31, 93, 401, 41, 183, 759, 2473, 8705, 8211, 13543, 59749, 235217, 0};
static int joe_kuo_d6_initial_number17083[] = {1, 1, 5, 5, 29, 3, 65, 133, 325, 239, 649, 3225, 4095, 11691, 4479, 15419, 100551, 261981, 0};
static int joe_kuo_d6_initial_number17084[] = {1, 3, 7, 1, 17, 11, 63, 97, 431, 161, 1437, 3679, 1643, 10583, 20731, 45919, 94093, 147067, 0};
static int joe_kuo_d6_initial_number17085[] = {1, 1, 7, 1, 25, 13, 63, 155, 221, 345, 189, 1199, 5465, 14767, 26263, 54093, 23697, 71231, 0};
static int joe_kuo_d6_initial_number17086[] = {1, 1, 7, 3, 3, 19, 23, 75, 381, 339, 1989, 1137, 6449, 1437, 32279, 17195, 117423, 259311, 0};
static int joe_kuo_d6_initial_number17087[] = {1, 3, 5, 3, 27, 45, 117, 113, 129, 585, 2019, 807, 5573, 7407, 9957, 8741, 52333, 115607, 0};
static int joe_kuo_d6_initial_number17088[] = {1, 1, 3, 7, 9, 5, 77, 9, 417, 725, 429, 1657, 5445, 1901, 28745, 26807, 111743, 169739, 0};
static int joe_kuo_d6_initial_number17089[] = {1, 3, 1, 5, 7, 63, 51, 183, 117, 383, 435, 755, 7849, 5997, 32697, 5789, 5189, 80645, 0};
static int joe_kuo_d6_initial_number17090[] = {1, 1, 3, 15, 5, 47, 105, 175, 41, 275, 1441, 3183, 3651, 9561, 5749, 20431, 45969, 59473, 0};
static int joe_kuo_d6_initial_number17091[] = {1, 1, 1, 11, 13, 35, 19, 129, 125, 35, 339, 3099, 5337, 15605, 10213, 1171, 61869, 216681, 0};
static int joe_kuo_d6_initial_number17092[] = {1, 3, 7, 1, 7, 25, 23, 9, 431, 73, 1803, 3969, 7853, 12845, 8075, 14553, 124825, 50561, 0};
static int joe_kuo_d6_initial_number17093[] = {1, 1, 1, 7, 29, 21, 79, 247, 313, 143, 59, 2689, 5643, 827, 26597, 56423, 107903, 180809, 0};
static int joe_kuo_d6_initial_number17094[] = {1, 3, 7, 1, 3, 3, 25, 39, 269, 529, 67, 3703, 2163, 12417, 6307, 29883, 40303, 171831, 0};
static int joe_kuo_d6_initial_number17095[] = {1, 3, 7, 13, 1, 19, 71, 245, 267, 105, 749, 1203, 7953, 1881, 9273, 4629, 71793, 195393, 0};
static int joe_kuo_d6_initial_number17096[] = {1, 1, 1, 15, 3, 49, 53, 145, 47, 959, 1107, 1361, 4517, 16055, 32119, 58433, 110123, 81487, 0};
static int joe_kuo_d6_initial_number17097[] = {1, 3, 1, 1, 5, 3, 99, 93, 257, 659, 19, 3789, 203, 6183, 11571, 54845, 80591, 243303, 0};
static int joe_kuo_d6_initial_number17098[] = {1, 3, 7, 1, 1, 7, 27, 11, 255, 261, 769, 2877, 6013, 8431, 25669, 43591, 122501, 208947, 0};
static int joe_kuo_d6_initial_number17099[] = {1, 1, 7, 7, 3, 25, 117, 19, 15, 843, 401, 613, 801, 10579, 129, 12249, 107465, 95953, 0};
static int joe_kuo_d6_initial_number17100[] = {1, 1, 3, 5, 1, 35, 95, 93, 243, 937, 1543, 3443, 175, 2199, 12521, 2521, 87225, 38631, 0};
static int joe_kuo_d6_initial_number17101[] = {1, 3, 7, 13, 21, 29, 81, 139, 247, 937, 1835, 3887, 6917, 15709, 20947, 3341, 125521, 247195, 0};
static int joe_kuo_d6_initial_number17102[] = {1, 1, 5, 11, 31, 19, 111, 215, 191, 347, 1215, 1757, 6751, 3099, 755, 43753, 2813, 159123, 0};
static int joe_kuo_d6_initial_number17103[] = {1, 3, 3, 3, 31, 5, 35, 87, 293, 581, 1501, 3255, 7041, 5233, 2053, 63403, 37943, 12115, 0};
static int joe_kuo_d6_initial_number17104[] = {1, 1, 7, 15, 11, 31, 5, 123, 225, 703, 733, 635, 2193, 3059, 30933, 43149, 79409, 106995, 0};
static int joe_kuo_d6_initial_number17105[] = {1, 3, 1, 7, 11, 21, 45, 135, 99, 883, 85, 3861, 6617, 7169, 29887, 329, 42487, 129001, 0};
static int joe_kuo_d6_initial_number17106[] = {1, 1, 1, 3, 11, 53, 31, 245, 141, 667, 1615, 3311, 1475, 12785, 3509, 47153, 105747, 141275, 0};
static int joe_kuo_d6_initial_number17107[] = {1, 1, 3, 15, 7, 15, 55, 13, 465, 707, 1299, 1393, 399, 9229, 4897, 50313, 1275, 131811, 0};
static int joe_kuo_d6_initial_number17108[] = {1, 1, 3, 15, 5, 57, 43, 19, 335, 929, 459, 327, 5715, 7173, 27643, 535, 46221, 144619, 0};
static int joe_kuo_d6_initial_number17109[] = {1, 3, 5, 1, 9, 1, 63, 187, 71, 899, 969, 1349, 1553, 15593, 22783, 211, 41643, 163981, 0};
static int joe_kuo_d6_initial_number17110[] = {1, 1, 1, 13, 3, 63, 35, 37, 311, 253, 1393, 629, 5299, 14837, 15053, 28041, 81541, 149037, 0};
static int joe_kuo_d6_initial_number17111[] = {1, 3, 3, 11, 13, 45, 17, 165, 497, 751, 635, 2939, 6891, 14877, 32763, 20671, 106845, 258033, 0};
static int joe_kuo_d6_initial_number17112[] = {1, 1, 3, 11, 21, 7, 3, 247, 243, 219, 1651, 929, 2737, 9507, 31819, 61389, 14593, 137207, 0};
static int joe_kuo_d6_initial_number17113[] = {1, 1, 7, 5, 15, 33, 31, 29, 467, 75, 523, 1067, 7313, 11715, 26581, 47037, 106385, 199859, 0};
static int joe_kuo_d6_initial_number17114[] = {1, 3, 1, 7, 19, 59, 35, 35, 3, 899, 799, 1379, 5113, 7653, 17977, 42197, 52397, 179705, 0};
static int joe_kuo_d6_initial_number17115[] = {1, 1, 7, 5, 13, 13, 67, 157, 181, 633, 21, 3107, 6301, 7523, 23981, 9079, 88875, 195869, 0};
static int joe_kuo_d6_initial_number17116[] = {1, 3, 7, 9, 7, 9, 115, 49, 293, 691, 1729, 4087, 6353, 963, 12433, 22135, 96383, 127745, 0};
static int joe_kuo_d6_initial_number17117[] = {1, 3, 7, 7, 21, 5, 43, 247, 89, 275, 1219, 311, 5677, 7161, 13853, 38613, 84935, 223563, 0};
static int joe_kuo_d6_initial_number17118[] = {1, 3, 1, 5, 29, 61, 17, 235, 127, 979, 973, 1463, 371, 5567, 6949, 34165, 3075, 169347, 0};
static int joe_kuo_d6_initial_number17119[] = {1, 3, 3, 15, 25, 51, 43, 73, 7, 123, 1761, 1461, 5291, 14271, 19335, 45379, 123469, 190439, 0};
static int joe_kuo_d6_initial_number17120[] = {1, 3, 3, 13, 19, 57, 25, 161, 351, 703, 819, 753, 3101, 9043, 19179, 22665, 118533, 45817, 0};
static int joe_kuo_d6_initial_number17121[] = {1, 3, 5, 15, 3, 33, 15, 63, 251, 87, 611, 1187, 2639, 6001, 16135, 27505, 71077, 34101, 0};
static int joe_kuo_d6_initial_number17122[] = {1, 1, 5, 3, 31, 5, 13, 239, 119, 803, 1881, 3479, 1933, 6421, 21411, 62923, 76851, 211029, 0};
static int joe_kuo_d6_initial_number17123[] = {1, 3, 1, 11, 13, 59, 13, 77, 87, 343, 1733, 3493, 5937, 15733, 7763, 12839, 68639, 70965, 0};
static int joe_kuo_d6_initial_number17124[] = {1, 1, 1, 3, 5, 19, 73, 109, 197, 1007, 1369, 623, 3249, 9263, 12463, 37105, 40599, 115323, 0};
static int joe_kuo_d6_initial_number17125[] = {1, 1, 7, 1, 21, 23, 27, 221, 117, 27, 1811, 837, 7355, 8083, 12657, 34137, 102025, 6511, 0};
static int joe_kuo_d6_initial_number17126[] = {1, 3, 7, 13, 13, 29, 7, 103, 511, 449, 1443, 775, 3503, 1057, 8809, 48583, 27649, 206219, 0};
static int joe_kuo_d6_initial_number17127[] = {1, 1, 7, 1, 15, 37, 53, 205, 393, 691, 989, 3493, 7813, 12371, 18125, 62569, 57075, 100625, 0};
static int joe_kuo_d6_initial_number17128[] = {1, 3, 5, 7, 11, 11, 55, 7, 487, 861, 1589, 1003, 607, 10031, 22481, 41905, 67791, 168167, 0};
static int joe_kuo_d6_initial_number17129[] = {1, 3, 1, 9, 21, 31, 25, 187, 315, 379, 961, 2721, 3395, 12321, 21693, 56977, 73197, 160023, 0};
static int joe_kuo_d6_initial_number17130[] = {1, 3, 3, 7, 9, 25, 103, 1, 13, 1021, 1777, 1015, 2269, 2131, 191, 2561, 74755, 27131, 0};
static int joe_kuo_d6_initial_number17131[] = {1, 1, 3, 13, 21, 29, 97, 153, 499, 207, 719, 585, 8155, 2873, 22073, 45933, 92875, 19205, 0};
static int joe_kuo_d6_initial_number17132[] = {1, 3, 7, 15, 13, 31, 43, 223, 405, 839, 1241, 2219, 6911, 9469, 24477, 63157, 95503, 128431, 0};
static int joe_kuo_d6_initial_number17133[] = {1, 3, 5, 15, 5, 11, 79, 129, 235, 171, 289, 1791, 6061, 9107, 13859, 55923, 30197, 111025, 0};
static int joe_kuo_d6_initial_number17134[] = {1, 1, 7, 11, 13, 23, 51, 139, 219, 467, 1923, 2847, 1977, 1503, 1939, 55579, 65357, 50047, 0};
static int joe_kuo_d6_initial_number17135[] = {1, 3, 7, 11, 27, 25, 91, 95, 73, 189, 1537, 273, 725, 1215, 15255, 18847, 67419, 162153, 0};
static int joe_kuo_d6_initial_number17136[] = {1, 3, 3, 11, 3, 63, 49, 131, 219, 285, 819, 2801, 2645, 2943, 15055, 15659, 130641, 82913, 0};
static int joe_kuo_d6_initial_number17137[] = {1, 1, 3, 7, 17, 19, 37, 59, 391, 1009, 1569, 2569, 2519, 33, 18827, 23277, 94797, 103673, 0};
static int joe_kuo_d6_initial_number17138[] = {1, 3, 5, 9, 27, 57, 69, 185, 49, 829, 29, 1247, 6129, 14935, 8005, 48343, 55789, 170099, 0};
static int joe_kuo_d6_initial_number17139[] = {1, 3, 3, 7, 19, 55, 77, 231, 79, 787, 1597, 2701, 4999, 4247, 31849, 7797, 118993, 77871, 0};
static int joe_kuo_d6_initial_number17140[] = {1, 1, 7, 13, 5, 45, 105, 137, 239, 923, 593, 3227, 3603, 15463, 15533, 55285, 95295, 141951, 0};
static int joe_kuo_d6_initial_number17141[] = {1, 3, 1, 5, 29, 3, 113, 241, 255, 181, 1933, 2579, 1865, 11083, 8023, 34271, 78603, 240781, 0};
static int joe_kuo_d6_initial_number17142[] = {1, 1, 3, 7, 17, 21, 123, 75, 305, 485, 9, 3037, 677, 8001, 16803, 25851, 121773, 77729, 0};
static int joe_kuo_d6_initial_number17143[] = {1, 3, 1, 5, 23, 7, 39, 25, 381, 1003, 361, 995, 1751, 9599, 6399, 9627, 19303, 249899, 0};
static int joe_kuo_d6_initial_number17144[] = {1, 3, 5, 5, 13, 39, 65, 145, 351, 135, 981, 3657, 4711, 13649, 17253, 46443, 99187, 176683, 0};
static int joe_kuo_d6_initial_number17145[] = {1, 3, 1, 9, 9, 41, 79, 237, 445, 507, 1947, 2905, 8161, 715, 24499, 62397, 26393, 197221, 0};
static int joe_kuo_d6_initial_number17146[] = {1, 3, 5, 3, 23, 9, 107, 121, 59, 265, 177, 3495, 391, 4537, 32099, 45217, 128285, 259285, 0};
static int joe_kuo_d6_initial_number17147[] = {1, 3, 3, 15, 5, 61, 87, 209, 139, 461, 485, 3261, 7425, 6193, 22221, 22145, 93989, 101459, 0};
static int joe_kuo_d6_initial_number17148[] = {1, 3, 1, 1, 15, 51, 29, 145, 385, 695, 375, 3743, 1387, 15385, 7995, 22993, 64115, 239897, 0};
static int joe_kuo_d6_initial_number17149[] = {1, 1, 5, 15, 9, 11, 73, 219, 293, 941, 477, 3935, 2717, 9559, 20537, 6935, 39711, 13623, 0};
static int joe_kuo_d6_initial_number17150[] = {1, 3, 3, 11, 3, 23, 127, 21, 61, 59, 1685, 507, 3883, 6587, 6355, 65407, 54311, 228555, 0};
static int joe_kuo_d6_initial_number17151[] = {1, 3, 1, 1, 25, 47, 51, 111, 77, 871, 1045, 4017, 7683, 7729, 24155, 3481, 31749, 245155, 0};
static int joe_kuo_d6_initial_number17152[] = {1, 3, 5, 1, 25, 29, 119, 131, 475, 763, 1639, 1937, 7387, 2307, 24081, 34797, 91785, 52055, 0};
static int joe_kuo_d6_initial_number17153[] = {1, 1, 5, 1, 29, 19, 119, 111, 119, 751, 1079, 1911, 4085, 8909, 4351, 30037, 37691, 57175, 0};
static int joe_kuo_d6_initial_number17154[] = {1, 1, 7, 7, 27, 33, 71, 189, 105, 821, 1543, 2939, 3829, 6485, 22235, 7097, 76987, 207121, 0};
static int joe_kuo_d6_initial_number17155[] = {1, 1, 3, 3, 7, 7, 65, 121, 355, 405, 1019, 1779, 7301, 10609, 25927, 16501, 37287, 133383, 0};
static int joe_kuo_d6_initial_number17156[] = {1, 1, 3, 11, 31, 57, 109, 197, 165, 711, 271, 653, 5835, 14905, 26065, 52287, 106215, 225075, 0};
static int joe_kuo_d6_initial_number17157[] = {1, 1, 3, 3, 1, 41, 5, 169, 15, 49, 1311, 2715, 579, 1693, 28001, 17935, 18585, 123531, 0};
static int joe_kuo_d6_initial_number17158[] = {1, 1, 7, 7, 1, 49, 59, 75, 173, 361, 1947, 2707, 1835, 12025, 24051, 24359, 121841, 215797, 0};
static int joe_kuo_d6_initial_number17159[] = {1, 1, 5, 13, 7, 49, 15, 181, 409, 1005, 383, 3449, 2987, 13051, 7097, 34571, 55495, 65251, 0};
static int joe_kuo_d6_initial_number17160[] = {1, 1, 3, 11, 5, 9, 67, 41, 9, 79, 401, 379, 4107, 5231, 519, 47877, 17273, 137479, 0};
static int joe_kuo_d6_initial_number17161[] = {1, 1, 3, 13, 25, 7, 9, 165, 103, 37, 1369, 933, 1119, 1025, 19767, 25765, 55487, 249709, 0};
static int joe_kuo_d6_initial_number17162[] = {1, 3, 5, 5, 19, 53, 105, 135, 245, 957, 185, 2901, 1741, 10429, 747, 23365, 49363, 84095, 0};
static int joe_kuo_d6_initial_number17163[] = {1, 1, 1, 15, 29, 17, 107, 193, 17, 447, 1261, 1935, 5749, 2303, 23287, 59883, 28655, 188055, 0};
static int joe_kuo_d6_initial_number17164[] = {1, 1, 5, 9, 13, 27, 99, 253, 299, 481, 89, 3041, 1549, 15417, 30495, 2063, 53649, 219883, 0};
static int joe_kuo_d6_initial_number17165[] = {1, 3, 3, 15, 19, 19, 7, 149, 67, 349, 789, 129, 2783, 2887, 28631, 26001, 62407, 151767, 0};
static int joe_kuo_d6_initial_number17166[] = {1, 3, 3, 13, 7, 29, 65, 25, 93, 627, 301, 721, 7249, 13295, 19995, 33715, 36441, 157625, 0};
static int joe_kuo_d6_initial_number17167[] = {1, 1, 1, 3, 29, 63, 85, 27, 507, 543, 1887, 3169, 4239, 4455, 22047, 15369, 48913, 192071, 0};
static int joe_kuo_d6_initial_number17168[] = {1, 3, 7, 5, 9, 33, 125, 41, 7, 723, 1091, 3311, 8173, 3861, 31507, 42669, 68853, 60043, 0};
static int joe_kuo_d6_initial_number17169[] = {1, 3, 1, 13, 13, 7, 121, 41, 181, 913, 371, 163, 7061, 8779, 18345, 41915, 1785, 107113, 0};
static int joe_kuo_d6_initial_number17170[] = {1, 1, 1, 9, 13, 41, 23, 35, 157, 247, 1243, 1101, 5193, 4027, 29917, 44099, 46211, 162059, 0};
static int joe_kuo_d6_initial_number17171[] = {1, 3, 1, 5, 15, 51, 3, 241, 131, 741, 1885, 2397, 5673, 9097, 9319, 15381, 55655, 207569, 0};
static int joe_kuo_d6_initial_number17172[] = {1, 1, 3, 15, 25, 15, 69, 55, 435, 727, 1007, 375, 7871, 10437, 11011, 36711, 11269, 105159, 0};
static int joe_kuo_d6_initial_number17173[] = {1, 3, 3, 13, 17, 1, 101, 189, 295, 185, 1715, 2609, 6767, 11751, 11469, 3951, 80743, 114439, 0};
static int joe_kuo_d6_initial_number17174[] = {1, 3, 1, 7, 21, 41, 93, 39, 433, 917, 279, 161, 267, 10201, 26583, 30363, 110187, 46501, 0};
static int joe_kuo_d6_initial_number17175[] = {1, 1, 7, 7, 13, 15, 89, 167, 365, 925, 107, 3537, 6815, 15251, 23149, 61821, 66569, 135353, 0};
static int joe_kuo_d6_initial_number17176[] = {1, 1, 1, 3, 13, 59, 21, 255, 111, 603, 547, 465, 3001, 16055, 26389, 64301, 112751, 219279, 0};
static int joe_kuo_d6_initial_number17177[] = {1, 1, 1, 15, 17, 3, 21, 49, 327, 349, 489, 957, 807, 11685, 23975, 34729, 100773, 223551, 0};
static int joe_kuo_d6_initial_number17178[] = {1, 3, 5, 15, 19, 59, 63, 71, 233, 767, 1789, 3609, 5911, 3405, 7519, 3611, 92015, 126669, 0};
static int joe_kuo_d6_initial_number17179[] = {1, 1, 1, 11, 7, 31, 79, 57, 115, 763, 1643, 3329, 7209, 1385, 15565, 64353, 60637, 59445, 0};
static int joe_kuo_d6_initial_number17180[] = {1, 1, 3, 1, 13, 3, 47, 89, 507, 523, 1, 1391, 6973, 7267, 32527, 52631, 20775, 234503, 0};
static int joe_kuo_d6_initial_number17181[] = {1, 3, 1, 9, 23, 23, 95, 57, 295, 857, 213, 1211, 3503, 3043, 24843, 16149, 118719, 171585, 0};
static int joe_kuo_d6_initial_number17182[] = {1, 3, 1, 5, 1, 13, 63, 167, 305, 711, 759, 2521, 5051, 9125, 22917, 24647, 100777, 261137, 0};
static int joe_kuo_d6_initial_number17183[] = {1, 1, 5, 9, 25, 19, 5, 225, 511, 543, 685, 733, 7249, 10447, 11115, 25927, 104327, 92861, 0};
static int joe_kuo_d6_initial_number17184[] = {1, 3, 1, 7, 15, 7, 15, 83, 379, 461, 943, 317, 7735, 12655, 7549, 6371, 20901, 170331, 0};
static int joe_kuo_d6_initial_number17185[] = {1, 1, 1, 13, 7, 17, 41, 51, 47, 15, 477, 1203, 819, 1615, 13805, 40147, 3967, 192647, 0};
static int joe_kuo_d6_initial_number17186[] = {1, 3, 7, 11, 9, 11, 111, 75, 171, 833, 1503, 2325, 7279, 2687, 16499, 11547, 99409, 186429, 0};
static int joe_kuo_d6_initial_number17187[] = {1, 1, 5, 3, 13, 21, 75, 17, 447, 647, 1309, 2297, 7911, 12093, 16237, 50831, 96123, 134479, 0};
static int joe_kuo_d6_initial_number17188[] = {1, 1, 5, 15, 19, 29, 35, 255, 291, 437, 85, 2143, 3281, 3629, 29339, 28169, 46561, 236595, 0};
static int joe_kuo_d6_initial_number17189[] = {1, 3, 7, 1, 31, 57, 125, 109, 317, 461, 681, 1379, 6387, 14971, 8451, 17655, 87619, 51721, 0};
static int joe_kuo_d6_initial_number17190[] = {1, 3, 7, 1, 23, 33, 45, 149, 43, 465, 997, 601, 693, 6273, 12867, 25885, 81353, 60437, 0};
static int joe_kuo_d6_initial_number17191[] = {1, 1, 7, 7, 31, 25, 113, 205, 481, 141, 1757, 587, 2981, 7637, 3869, 4151, 69541, 68587, 0};
static int joe_kuo_d6_initial_number17192[] = {1, 1, 7, 13, 17, 31, 69, 247, 137, 79, 1221, 1693, 3747, 10711, 1671, 31587, 12139, 248585, 0};
static int joe_kuo_d6_initial_number17193[] = {1, 1, 1, 3, 1, 61, 39, 139, 37, 79, 125, 1145, 7505, 10129, 29209, 52045, 99159, 195553, 0};
static int joe_kuo_d6_initial_number17194[] = {1, 1, 5, 3, 13, 41, 13, 11, 167, 953, 1961, 3557, 871, 1687, 28479, 10621, 27533, 243519, 0};
static int joe_kuo_d6_initial_number17195[] = {1, 1, 7, 7, 1, 35, 107, 227, 375, 225, 483, 1239, 7591, 8549, 7351, 62001, 70245, 102795, 0};
static int joe_kuo_d6_initial_number17196[] = {1, 1, 1, 9, 29, 35, 15, 3, 337, 1017, 1065, 2107, 2457, 9455, 7069, 55081, 57887, 149679, 0};
static int joe_kuo_d6_initial_number17197[] = {1, 1, 7, 1, 1, 1, 13, 63, 287, 895, 593, 1253, 4717, 10313, 10275, 22143, 59149, 38865, 0};
static int joe_kuo_d6_initial_number17198[] = {1, 1, 3, 15, 27, 39, 73, 11, 509, 391, 1901, 503, 5523, 6777, 30849, 41301, 35067, 68443, 0};
static int joe_kuo_d6_initial_number17199[] = {1, 3, 3, 15, 17, 57, 39, 229, 273, 917, 577, 3627, 3285, 4495, 28581, 34011, 38537, 194999, 0};
static int joe_kuo_d6_initial_number17200[] = {1, 1, 7, 3, 17, 51, 91, 203, 161, 757, 581, 1625, 477, 8839, 16515, 43101, 121497, 23603, 0};
static int joe_kuo_d6_initial_number17201[] = {1, 3, 3, 5, 19, 29, 55, 127, 283, 999, 1227, 1937, 4471, 11305, 8813, 40509, 78521, 175573, 0};
static int joe_kuo_d6_initial_number17202[] = {1, 3, 3, 3, 5, 29, 33, 249, 25, 213, 1315, 393, 6967, 12751, 7485, 39561, 14801, 191921, 0};
static int joe_kuo_d6_initial_number17203[] = {1, 3, 7, 9, 23, 15, 93, 69, 23, 239, 1993, 3375, 539, 14141, 10123, 33561, 127565, 181527, 0};
static int joe_kuo_d6_initial_number17204[] = {1, 3, 3, 15, 13, 15, 65, 241, 83, 351, 1943, 1305, 7181, 11803, 31907, 63623, 5439, 150661, 0};
static int joe_kuo_d6_initial_number17205[] = {1, 3, 7, 11, 13, 17, 17, 37, 409, 577, 973, 797, 1761, 5333, 13803, 22991, 29743, 53051, 0};
static int joe_kuo_d6_initial_number17206[] = {1, 3, 5, 5, 27, 25, 91, 225, 411, 23, 877, 2487, 8061, 12337, 11471, 8857, 10791, 112699, 0};
static int joe_kuo_d6_initial_number17207[] = {1, 1, 5, 3, 15, 1, 87, 249, 205, 1011, 2045, 1879, 4137, 5877, 12709, 5231, 74283, 124315, 0};
static int joe_kuo_d6_initial_number17208[] = {1, 1, 7, 7, 31, 37, 117, 71, 139, 391, 1085, 4033, 3087, 3063, 19991, 8787, 96899, 17279, 0};
static int joe_kuo_d6_initial_number17209[] = {1, 1, 7, 15, 19, 47, 45, 181, 303, 151, 337, 2557, 6131, 3161, 13097, 52777, 77783, 259817, 0};
static int joe_kuo_d6_initial_number17210[] = {1, 1, 3, 3, 1, 55, 115, 227, 83, 591, 967, 4067, 3441, 243, 13443, 4043, 129365, 161459, 0};
static int joe_kuo_d6_initial_number17211[] = {1, 1, 3, 15, 5, 23, 71, 31, 271, 585, 931, 909, 3375, 15063, 12111, 35811, 124047, 68225, 0};
static int joe_kuo_d6_initial_number17212[] = {1, 1, 5, 11, 1, 59, 19, 193, 323, 489, 837, 3709, 1807, 11617, 30931, 33561, 2805, 100979, 0};
static int joe_kuo_d6_initial_number17213[] = {1, 3, 5, 7, 27, 7, 71, 67, 167, 521, 1237, 2911, 3531, 2885, 4669, 25703, 87647, 36381, 0};
static int joe_kuo_d6_initial_number17214[] = {1, 3, 3, 13, 13, 21, 97, 225, 477, 1023, 2029, 877, 3849, 4675, 17665, 19257, 9697, 168577, 0};
static int joe_kuo_d6_initial_number17215[] = {1, 1, 7, 15, 25, 31, 19, 255, 45, 539, 1831, 2655, 7471, 12011, 12455, 3681, 123881, 234471, 0};
static int joe_kuo_d6_initial_number17216[] = {1, 1, 3, 9, 17, 39, 105, 73, 271, 555, 987, 873, 5371, 12381, 13469, 54961, 125701, 194063, 0};
static int joe_kuo_d6_initial_number17217[] = {1, 1, 5, 5, 7, 27, 15, 195, 121, 175, 991, 955, 5007, 11423, 1539, 21381, 79891, 162149, 0};
static int joe_kuo_d6_initial_number17218[] = {1, 3, 1, 7, 25, 23, 69, 69, 177, 545, 481, 3503, 3721, 1077, 8763, 6919, 64743, 172311, 0};
static int joe_kuo_d6_initial_number17219[] = {1, 1, 3, 15, 31, 5, 33, 45, 81, 795, 435, 399, 4591, 3741, 26493, 14791, 59529, 89989, 0};
static int joe_kuo_d6_initial_number17220[] = {1, 1, 7, 13, 21, 29, 95, 75, 213, 59, 1635, 479, 441, 14667, 16389, 9139, 30955, 169895, 0};
static int joe_kuo_d6_initial_number17221[] = {1, 3, 3, 3, 17, 61, 103, 85, 233, 287, 447, 2687, 4755, 9489, 1669, 10405, 58489, 170429, 0};
static int joe_kuo_d6_initial_number17222[] = {1, 1, 5, 5, 13, 9, 63, 129, 321, 531, 393, 3353, 5309, 16375, 20473, 12595, 52239, 183647, 0};
static int joe_kuo_d6_initial_number17223[] = {1, 1, 3, 7, 7, 31, 101, 253, 119, 325, 351, 2321, 1899, 14073, 8985, 13609, 32043, 33225, 0};
static int joe_kuo_d6_initial_number17224[] = {1, 1, 3, 13, 7, 25, 73, 191, 399, 591, 819, 2859, 6053, 815, 30417, 5709, 18277, 121991, 0};
static int joe_kuo_d6_initial_number17225[] = {1, 3, 3, 1, 7, 47, 7, 81, 451, 463, 699, 1857, 8169, 15649, 22693, 28673, 9717, 227583, 0};
static int joe_kuo_d6_initial_number17226[] = {1, 3, 3, 3, 31, 45, 123, 205, 23, 901, 1003, 1149, 7481, 6925, 23845, 18573, 97047, 248957, 0};
static int joe_kuo_d6_initial_number17227[] = {1, 1, 3, 3, 21, 9, 53, 241, 125, 583, 1055, 3981, 8113, 12477, 8455, 6289, 112253, 17321, 0};
static int joe_kuo_d6_initial_number17228[] = {1, 1, 7, 3, 19, 5, 51, 111, 443, 283, 117, 2127, 4273, 2335, 20373, 2885, 57439, 56839, 0};
static int joe_kuo_d6_initial_number17229[] = {1, 1, 5, 15, 7, 5, 65, 163, 27, 691, 1667, 69, 2459, 7477, 21349, 52417, 42299, 75965, 0};
static int joe_kuo_d6_initial_number17230[] = {1, 1, 1, 13, 13, 19, 87, 223, 475, 205, 1113, 887, 2213, 5533, 15875, 36173, 53933, 200173, 0};
static int joe_kuo_d6_initial_number17231[] = {1, 3, 3, 13, 23, 17, 93, 37, 391, 127, 873, 1445, 3007, 10863, 21245, 55025, 99275, 255329, 0};
static int joe_kuo_d6_initial_number17232[] = {1, 3, 1, 15, 1, 47, 57, 5, 207, 825, 161, 539, 6151, 12829, 14121, 51217, 25547, 234303, 0};
static int joe_kuo_d6_initial_number17233[] = {1, 1, 5, 1, 21, 63, 15, 83, 19, 817, 591, 3131, 889, 12451, 14363, 27295, 83877, 124701, 0};
static int joe_kuo_d6_initial_number17234[] = {1, 1, 7, 7, 11, 21, 87, 85, 13, 555, 163, 9, 5973, 14749, 19585, 57287, 43421, 66301, 0};
static int joe_kuo_d6_initial_number17235[] = {1, 3, 5, 5, 7, 33, 19, 7, 9, 819, 533, 2105, 4275, 10611, 30517, 35863, 84687, 245157, 0};
static int joe_kuo_d6_initial_number17236[] = {1, 3, 5, 13, 3, 55, 111, 157, 235, 405, 39, 2191, 905, 3099, 245, 37371, 365, 257385, 0};
static int joe_kuo_d6_initial_number17237[] = {1, 3, 3, 13, 29, 39, 125, 235, 213, 879, 497, 1659, 6689, 12165, 18621, 14657, 37079, 167867, 0};
static int joe_kuo_d6_initial_number17238[] = {1, 1, 5, 15, 5, 5, 27, 197, 77, 477, 1115, 3369, 2253, 5757, 20855, 4473, 112501, 76881, 0};
static int joe_kuo_d6_initial_number17239[] = {1, 3, 3, 13, 13, 61, 37, 97, 229, 743, 1381, 3979, 307, 319, 16765, 56295, 109303, 21361, 0};
static int joe_kuo_d6_initial_number17240[] = {1, 1, 7, 11, 19, 7, 63, 145, 129, 899, 93, 1851, 7901, 8767, 15553, 13913, 4897, 129483, 0};
static int joe_kuo_d6_initial_number17241[] = {1, 3, 5, 11, 7, 23, 19, 5, 465, 365, 883, 3563, 4395, 2759, 4273, 623, 75047, 249519, 0};
static int joe_kuo_d6_initial_number17242[] = {1, 3, 1, 5, 29, 43, 75, 7, 509, 373, 359, 2041, 5957, 1251, 32431, 37803, 120915, 45137, 0};
static int joe_kuo_d6_initial_number17243[] = {1, 3, 1, 5, 21, 9, 43, 1, 337, 743, 1359, 1629, 5117, 2499, 16129, 22831, 38795, 32137, 0};
static int joe_kuo_d6_initial_number17244[] = {1, 3, 3, 7, 23, 57, 9, 31, 351, 559, 1729, 1461, 3037, 12685, 8899, 14859, 108851, 170195, 0};
static int joe_kuo_d6_initial_number17245[] = {1, 1, 1, 15, 23, 57, 39, 23, 283, 487, 1055, 1265, 6781, 7955, 195, 37745, 66115, 56413, 0};
static int joe_kuo_d6_initial_number17246[] = {1, 1, 3, 7, 27, 35, 57, 17, 137, 17, 905, 4033, 5775, 5305, 22975, 17547, 106297, 146287, 0};
static int joe_kuo_d6_initial_number17247[] = {1, 1, 1, 3, 5, 39, 73, 151, 469, 523, 119, 539, 2817, 7783, 22957, 59937, 21331, 172437, 0};
static int joe_kuo_d6_initial_number17248[] = {1, 1, 3, 13, 21, 1, 23, 109, 113, 257, 817, 1671, 6729, 1571, 15009, 48539, 94025, 160379, 0};
static int joe_kuo_d6_initial_number17249[] = {1, 1, 1, 1, 31, 23, 83, 107, 225, 715, 949, 69, 2163, 4777, 7715, 25901, 82935, 81455, 0};
static int joe_kuo_d6_initial_number17250[] = {1, 3, 5, 13, 29, 11, 61, 169, 241, 973, 315, 3991, 1389, 3293, 31123, 59419, 7359, 170929, 0};
static int joe_kuo_d6_initial_number17251[] = {1, 1, 7, 3, 21, 15, 111, 41, 329, 513, 1175, 4037, 2747, 11465, 17253, 54055, 29409, 230925, 0};
static int joe_kuo_d6_initial_number17252[] = {1, 3, 5, 15, 31, 17, 105, 45, 61, 339, 1387, 1021, 4499, 13671, 25521, 52081, 49153, 31587, 0};
static int joe_kuo_d6_initial_number17253[] = {1, 3, 3, 3, 29, 17, 51, 103, 429, 849, 1759, 1267, 6255, 4631, 32643, 44977, 40875, 239457, 0};
static int joe_kuo_d6_initial_number17254[] = {1, 1, 7, 15, 3, 11, 123, 157, 73, 151, 777, 3855, 1913, 969, 11821, 16889, 63503, 197305, 0};
static int joe_kuo_d6_initial_number17255[] = {1, 3, 1, 5, 13, 49, 61, 209, 105, 523, 851, 3667, 7525, 5537, 12851, 42867, 50535, 131403, 0};
static int joe_kuo_d6_initial_number17256[] = {1, 3, 1, 7, 13, 19, 107, 71, 479, 895, 405, 89, 1345, 5543, 12709, 6093, 97581, 20483, 0};
static int joe_kuo_d6_initial_number17257[] = {1, 3, 3, 11, 3, 47, 117, 175, 175, 321, 1257, 365, 1193, 12813, 2713, 26941, 43605, 223323, 0};
static int joe_kuo_d6_initial_number17258[] = {1, 1, 7, 1, 19, 35, 45, 143, 395, 255, 1599, 575, 2637, 1287, 27673, 48329, 57975, 44173, 0};
static int joe_kuo_d6_initial_number17259[] = {1, 3, 5, 1, 1, 19, 107, 233, 465, 661, 91, 4007, 6409, 3399, 8175, 54171, 111417, 124955, 0};
static int joe_kuo_d6_initial_number17260[] = {1, 1, 5, 13, 9, 27, 121, 225, 55, 761, 779, 3015, 6333, 10779, 26531, 57103, 33463, 90219, 0};
static int joe_kuo_d6_initial_number17261[] = {1, 3, 1, 9, 17, 3, 85, 147, 111, 133, 869, 1833, 2401, 5811, 24415, 27095, 65529, 164121, 0};
static int joe_kuo_d6_initial_number17262[] = {1, 1, 5, 13, 11, 37, 13, 83, 391, 909, 2013, 1327, 6697, 1711, 29265, 10607, 20127, 57873, 0};
static int joe_kuo_d6_initial_number17263[] = {1, 3, 1, 11, 17, 17, 33, 101, 383, 837, 1769, 1711, 3735, 14777, 27101, 56853, 110643, 101917, 0};
static int joe_kuo_d6_initial_number17264[] = {1, 3, 5, 13, 25, 7, 37, 99, 473, 211, 1469, 1827, 6307, 8835, 15853, 22027, 43095, 15817, 0};
static int joe_kuo_d6_initial_number17265[] = {1, 3, 1, 5, 19, 13, 61, 193, 57, 359, 1277, 749, 5499, 11239, 20681, 48477, 7225, 259259, 0};
static int joe_kuo_d6_initial_number17266[] = {1, 1, 1, 7, 27, 17, 79, 213, 307, 761, 429, 1519, 7483, 6007, 11251, 13263, 24851, 7919, 0};
static int joe_kuo_d6_initial_number17267[] = {1, 1, 3, 5, 9, 37, 101, 149, 405, 413, 1213, 157, 3811, 4485, 13099, 32697, 75677, 127815, 0};
static int joe_kuo_d6_initial_number17268[] = {1, 3, 3, 7, 29, 29, 13, 113, 45, 885, 1471, 3433, 2289, 4375, 815, 16741, 20933, 9763, 0};
static int joe_kuo_d6_initial_number17269[] = {1, 3, 5, 15, 5, 3, 7, 37, 347, 41, 1977, 395, 6363, 3591, 21457, 31455, 60547, 108153, 0};
static int joe_kuo_d6_initial_number17270[] = {1, 3, 5, 7, 19, 9, 113, 1, 241, 439, 731, 1591, 3347, 1295, 6635, 25267, 13239, 214669, 0};
static int joe_kuo_d6_initial_number17271[] = {1, 1, 3, 5, 7, 7, 69, 77, 281, 851, 1533, 1, 7351, 3429, 29237, 54597, 11171, 66613, 0};
static int joe_kuo_d6_initial_number17272[] = {1, 1, 7, 15, 29, 7, 59, 9, 105, 129, 1397, 3841, 3945, 4755, 19877, 11109, 17497, 225473, 0};
static int joe_kuo_d6_initial_number17273[] = {1, 3, 7, 7, 15, 61, 3, 207, 97, 229, 1251, 101, 3157, 5729, 15579, 14849, 119119, 91891, 0};
static int joe_kuo_d6_initial_number17274[] = {1, 3, 3, 9, 27, 15, 85, 221, 231, 577, 1787, 3489, 2393, 7593, 13175, 25561, 108505, 97267, 0};
static int joe_kuo_d6_initial_number17275[] = {1, 3, 7, 13, 23, 3, 7, 85, 307, 899, 371, 3539, 3467, 7955, 9539, 53583, 125587, 30969, 0};
static int joe_kuo_d6_initial_number17276[] = {1, 1, 5, 7, 7, 31, 115, 245, 375, 803, 1121, 3775, 3565, 15283, 25981, 24681, 34469, 172003, 0};
static int joe_kuo_d6_initial_number17277[] = {1, 1, 5, 1, 31, 5, 5, 161, 153, 235, 1703, 2163, 1089, 16233, 6183, 25167, 102925, 36673, 0};
static int joe_kuo_d6_initial_number17278[] = {1, 3, 3, 5, 1, 57, 59, 5, 87, 497, 151, 1731, 2727, 4583, 28165, 63053, 76003, 29259, 0};
static int joe_kuo_d6_initial_number17279[] = {1, 1, 5, 7, 5, 21, 79, 111, 347, 879, 827, 3947, 4421, 9589, 23971, 11681, 104555, 226535, 0};
static int joe_kuo_d6_initial_number17280[] = {1, 1, 5, 1, 17, 35, 105, 159, 391, 495, 1709, 3731, 261, 2359, 1413, 37105, 8979, 189381, 0};
static int joe_kuo_d6_initial_number17281[] = {1, 3, 3, 1, 11, 23, 21, 213, 261, 755, 1503, 2369, 1765, 14531, 2605, 15609, 48691, 113059, 0};
static int joe_kuo_d6_initial_number17282[] = {1, 3, 5, 1, 1, 55, 87, 197, 89, 391, 1157, 3523, 385, 5871, 13681, 29097, 101903, 184553, 0};
static int joe_kuo_d6_initial_number17283[] = {1, 3, 7, 5, 17, 51, 87, 191, 495, 761, 1943, 1845, 2963, 13133, 22439, 20101, 96759, 215215, 0};
static int joe_kuo_d6_initial_number17284[] = {1, 3, 5, 11, 23, 9, 53, 41, 229, 233, 2025, 2835, 2359, 4755, 3015, 48267, 20721, 61001, 0};
static int joe_kuo_d6_initial_number17285[] = {1, 1, 7, 9, 27, 35, 45, 201, 137, 291, 151, 733, 6199, 3127, 3073, 14491, 95051, 12469, 0};
static int joe_kuo_d6_initial_number17286[] = {1, 1, 1, 9, 7, 49, 73, 233, 239, 881, 1991, 695, 5947, 9377, 12027, 41137, 80217, 122961, 0};
static int joe_kuo_d6_initial_number17287[] = {1, 1, 5, 11, 3, 15, 85, 203, 305, 945, 1007, 1831, 3999, 373, 21141, 63829, 91779, 122495, 0};
static int joe_kuo_d6_initial_number17288[] = {1, 1, 1, 11, 23, 51, 127, 215, 441, 467, 229, 3071, 2731, 8813, 30155, 60289, 54531, 196187, 0};
static int joe_kuo_d6_initial_number17289[] = {1, 3, 5, 15, 29, 31, 11, 129, 443, 649, 773, 3035, 7915, 13831, 31979, 5577, 42869, 153591, 0};
static int joe_kuo_d6_initial_number17290[] = {1, 1, 3, 11, 21, 37, 23, 79, 153, 7, 1801, 441, 8189, 7235, 6311, 965, 71993, 81755, 0};
static int joe_kuo_d6_initial_number17291[] = {1, 3, 5, 5, 23, 13, 93, 39, 247, 367, 811, 1381, 6809, 16219, 8755, 41923, 79873, 105781, 0};
static int joe_kuo_d6_initial_number17292[] = {1, 3, 5, 9, 19, 43, 21, 229, 251, 187, 1047, 2295, 5529, 2965, 1507, 16185, 121183, 30551, 0};
static int joe_kuo_d6_initial_number17293[] = {1, 3, 7, 9, 19, 11, 33, 213, 39, 811, 231, 1527, 6093, 1507, 3541, 37585, 78785, 215419, 0};
static int joe_kuo_d6_initial_number17294[] = {1, 3, 7, 7, 11, 13, 109, 119, 175, 311, 719, 3127, 6351, 1909, 5441, 5411, 58751, 80875, 0};
static int joe_kuo_d6_initial_number17295[] = {1, 1, 1, 7, 17, 35, 57, 139, 289, 137, 1919, 2131, 6145, 3953, 24887, 64737, 4677, 23833, 0};
static int joe_kuo_d6_initial_number17296[] = {1, 1, 3, 13, 1, 21, 83, 243, 27, 69, 501, 3925, 3339, 13313, 27021, 38319, 76441, 146397, 0};
static int joe_kuo_d6_initial_number17297[] = {1, 3, 7, 9, 15, 17, 97, 117, 505, 673, 1333, 3891, 7775, 6323, 12967, 17387, 19501, 68347, 0};
static int joe_kuo_d6_initial_number17298[] = {1, 1, 1, 5, 27, 55, 43, 47, 399, 147, 1539, 2663, 5555, 11993, 8759, 33783, 8361, 78633, 0};
static int joe_kuo_d6_initial_number17299[] = {1, 1, 1, 15, 1, 17, 21, 85, 129, 117, 339, 1319, 1119, 6869, 12913, 56873, 30795, 76849, 0};
static int joe_kuo_d6_initial_number17300[] = {1, 1, 5, 5, 11, 1, 11, 175, 355, 737, 1367, 3089, 5993, 4377, 10325, 3817, 61735, 187689, 0};
static int joe_kuo_d6_initial_number17301[] = {1, 3, 5, 5, 21, 41, 85, 219, 425, 611, 1219, 1849, 349, 925, 26185, 31591, 23855, 35549, 0};
static int joe_kuo_d6_initial_number17302[] = {1, 1, 3, 5, 21, 3, 77, 25, 265, 949, 1979, 1561, 4243, 12437, 5215, 23445, 33295, 130385, 0};
static int joe_kuo_d6_initial_number17303[] = {1, 1, 3, 1, 13, 7, 3, 81, 143, 735, 31, 1781, 1537, 10789, 11923, 61589, 75761, 178837, 0};
static int joe_kuo_d6_initial_number17304[] = {1, 1, 7, 7, 11, 47, 55, 37, 39, 533, 1773, 3121, 183, 7193, 19403, 45757, 20457, 158437, 0};
static int joe_kuo_d6_initial_number17305[] = {1, 1, 5, 5, 3, 15, 53, 41, 139, 529, 601, 2967, 4683, 3869, 13449, 30155, 85833, 190053, 0};
static int joe_kuo_d6_initial_number17306[] = {1, 1, 5, 1, 11, 39, 85, 131, 349, 175, 267, 779, 923, 5905, 32727, 22055, 63087, 247607, 0};
static int joe_kuo_d6_initial_number17307[] = {1, 3, 5, 7, 7, 59, 11, 49, 465, 617, 557, 251, 1303, 10369, 29207, 13457, 113591, 43717, 0};
static int joe_kuo_d6_initial_number17308[] = {1, 3, 5, 3, 27, 39, 21, 157, 39, 891, 1833, 2887, 7395, 7965, 21771, 42675, 71705, 177323, 0};
static int joe_kuo_d6_initial_number17309[] = {1, 3, 7, 7, 21, 51, 53, 83, 433, 889, 1033, 1701, 6285, 14335, 1683, 3637, 110241, 110355, 0};
static int joe_kuo_d6_initial_number17310[] = {1, 1, 7, 7, 11, 23, 35, 63, 71, 867, 79, 2551, 1837, 773, 21093, 60433, 67305, 70731, 0};
static int joe_kuo_d6_initial_number17311[] = {1, 3, 5, 11, 9, 25, 67, 23, 137, 75, 707, 2229, 6237, 9871, 29063, 30433, 112897, 68037, 0};
static int joe_kuo_d6_initial_number17312[] = {1, 3, 7, 13, 1, 45, 119, 149, 487, 667, 1177, 2927, 1875, 11963, 20771, 1177, 2331, 244039, 0};
static int joe_kuo_d6_initial_number17313[] = {1, 3, 3, 7, 19, 61, 89, 163, 91, 409, 1109, 1947, 1017, 12385, 13487, 45645, 64175, 184221, 0};
static int joe_kuo_d6_initial_number17314[] = {1, 1, 1, 15, 13, 47, 21, 203, 341, 845, 443, 1891, 2591, 2721, 7515, 52161, 70359, 173139, 0};
static int joe_kuo_d6_initial_number17315[] = {1, 3, 3, 11, 5, 3, 119, 179, 509, 33, 1909, 2531, 6713, 12447, 30157, 61019, 45857, 165557, 0};
static int joe_kuo_d6_initial_number17316[] = {1, 3, 7, 5, 3, 47, 79, 55, 321, 71, 1917, 4053, 6603, 3079, 28133, 15611, 99161, 118279, 0};
static int joe_kuo_d6_initial_number17317[] = {1, 1, 1, 7, 19, 13, 3, 31, 213, 705, 435, 2381, 991, 4719, 24473, 8907, 122013, 228081, 0};
static int joe_kuo_d6_initial_number17318[] = {1, 1, 7, 11, 27, 15, 5, 123, 169, 197, 361, 3803, 2001, 14547, 22967, 27575, 118325, 130651, 0};
static int joe_kuo_d6_initial_number17319[] = {1, 3, 3, 5, 29, 43, 77, 15, 463, 753, 695, 3489, 2023, 9913, 13029, 26621, 129393, 209439, 0};
static int joe_kuo_d6_initial_number17320[] = {1, 1, 5, 15, 1, 39, 55, 129, 247, 729, 1537, 2529, 3981, 13153, 1505, 12743, 104173, 218423, 0};
static int joe_kuo_d6_initial_number17321[] = {1, 3, 7, 3, 21, 3, 49, 173, 445, 821, 3, 2671, 1865, 1377, 7589, 65485, 96485, 80193, 0};
static int joe_kuo_d6_initial_number17322[] = {1, 3, 3, 11, 7, 21, 99, 143, 333, 869, 1469, 1579, 1749, 2203, 18773, 47377, 103211, 238357, 0};
static int joe_kuo_d6_initial_number17323[] = {1, 3, 5, 11, 11, 19, 25, 253, 229, 755, 101, 269, 6703, 5603, 23201, 57163, 28431, 159653, 0};
static int joe_kuo_d6_initial_number17324[] = {1, 3, 5, 3, 3, 15, 45, 225, 325, 997, 1061, 883, 3885, 7633, 461, 44411, 52129, 84535, 0};
static int joe_kuo_d6_initial_number17325[] = {1, 1, 7, 1, 27, 29, 51, 23, 473, 443, 117, 3021, 55, 7413, 7911, 3063, 47533, 234941, 0};
static int joe_kuo_d6_initial_number17326[] = {1, 3, 3, 15, 19, 43, 37, 95, 249, 805, 603, 865, 2115, 6999, 9739, 59029, 12181, 211159, 0};
static int joe_kuo_d6_initial_number17327[] = {1, 3, 7, 3, 3, 61, 105, 113, 11, 169, 1007, 689, 2553, 14561, 17473, 38249, 41225, 80021, 0};
static int joe_kuo_d6_initial_number17328[] = {1, 3, 7, 11, 5, 47, 69, 49, 457, 931, 435, 1423, 411, 15163, 3171, 29143, 101153, 240869, 0};
static int joe_kuo_d6_initial_number17329[] = {1, 3, 7, 1, 17, 1, 13, 45, 155, 551, 1783, 3583, 2767, 2761, 18019, 61635, 104527, 123817, 0};
static int joe_kuo_d6_initial_number17330[] = {1, 1, 5, 11, 9, 43, 101, 205, 233, 689, 1247, 2903, 3117, 12261, 11827, 50403, 103727, 35533, 0};
static int joe_kuo_d6_initial_number17331[] = {1, 1, 5, 13, 23, 37, 121, 195, 133, 265, 1517, 823, 5933, 13917, 6363, 8533, 58443, 178549, 0};
static int joe_kuo_d6_initial_number17332[] = {1, 1, 7, 9, 29, 1, 3, 195, 221, 877, 71, 473, 1173, 15285, 6057, 60005, 92401, 65357, 0};
static int joe_kuo_d6_initial_number17333[] = {1, 3, 7, 1, 5, 25, 15, 207, 455, 447, 1125, 3731, 1289, 867, 22111, 38893, 70779, 88277, 0};
static int joe_kuo_d6_initial_number17334[] = {1, 1, 1, 13, 31, 19, 15, 179, 183, 351, 1197, 1929, 3569, 12251, 17641, 4097, 24141, 186857, 0};
static int joe_kuo_d6_initial_number17335[] = {1, 1, 1, 9, 19, 9, 125, 23, 431, 225, 943, 479, 2615, 443, 30977, 10889, 17107, 116819, 0};
static int joe_kuo_d6_initial_number17336[] = {1, 3, 1, 9, 9, 13, 85, 123, 85, 857, 125, 3149, 1105, 3687, 2313, 38749, 52131, 259511, 0};
static int joe_kuo_d6_initial_number17337[] = {1, 3, 5, 7, 27, 33, 57, 105, 511, 871, 1089, 2311, 3291, 2245, 3365, 30211, 62549, 56207, 0};
static int joe_kuo_d6_initial_number17338[] = {1, 1, 7, 11, 1, 19, 75, 37, 139, 173, 391, 317, 2575, 11887, 4289, 32275, 43487, 487, 0};
static int joe_kuo_d6_initial_number17339[] = {1, 1, 7, 1, 11, 3, 9, 217, 343, 35, 59, 93, 1343, 5043, 14869, 63717, 40983, 235373, 0};
static int joe_kuo_d6_initial_number17340[] = {1, 1, 3, 5, 15, 13, 93, 247, 417, 179, 307, 3299, 4383, 5491, 21271, 37155, 32289, 75737, 0};
static int joe_kuo_d6_initial_number17341[] = {1, 3, 3, 9, 3, 39, 63, 243, 305, 729, 9, 3317, 3301, 13165, 20437, 36505, 32977, 2761, 0};
static int joe_kuo_d6_initial_number17342[] = {1, 3, 7, 5, 3, 37, 61, 109, 351, 641, 1699, 2517, 2637, 4995, 27365, 56971, 53609, 14373, 0};
static int joe_kuo_d6_initial_number17343[] = {1, 3, 1, 15, 31, 53, 127, 123, 219, 1003, 1425, 1201, 5303, 10369, 21481, 26987, 42541, 37855, 0};
static int joe_kuo_d6_initial_number17344[] = {1, 3, 3, 13, 9, 29, 35, 111, 395, 791, 1619, 2647, 713, 15955, 19145, 33883, 65215, 166267, 0};
static int joe_kuo_d6_initial_number17345[] = {1, 1, 7, 11, 17, 5, 45, 249, 421, 273, 411, 2885, 7027, 11933, 24847, 36969, 124701, 214931, 0};
static int joe_kuo_d6_initial_number17346[] = {1, 1, 3, 1, 27, 41, 125, 83, 327, 643, 223, 151, 6709, 15949, 125, 13275, 90405, 15759, 0};
static int joe_kuo_d6_initial_number17347[] = {1, 1, 5, 15, 19, 45, 55, 109, 497, 1011, 1363, 1937, 3697, 7475, 10533, 65325, 29681, 76275, 0};
static int joe_kuo_d6_initial_number17348[] = {1, 1, 1, 3, 23, 17, 59, 209, 229, 151, 1199, 279, 191, 8993, 25939, 13885, 113477, 166961, 0};
static int joe_kuo_d6_initial_number17349[] = {1, 3, 5, 1, 19, 61, 27, 129, 103, 721, 1451, 2803, 5879, 3523, 15443, 4047, 95927, 50339, 0};
static int joe_kuo_d6_initial_number17350[] = {1, 1, 1, 11, 27, 9, 53, 47, 331, 185, 1337, 3429, 807, 3341, 14871, 11035, 50651, 243843, 0};
static int joe_kuo_d6_initial_number17351[] = {1, 3, 5, 11, 7, 57, 125, 15, 271, 811, 1873, 3093, 7841, 5761, 19955, 571, 123319, 149465, 0};
static int joe_kuo_d6_initial_number17352[] = {1, 3, 1, 3, 31, 61, 71, 47, 477, 273, 167, 1069, 3513, 1463, 2667, 22097, 60367, 246045, 0};
static int joe_kuo_d6_initial_number17353[] = {1, 1, 1, 11, 1, 55, 35, 233, 37, 659, 1517, 411, 2981, 10339, 21857, 33701, 44393, 6861, 0};
static int joe_kuo_d6_initial_number17354[] = {1, 1, 5, 7, 11, 43, 109, 205, 103, 315, 1925, 2109, 6307, 7915, 19793, 61167, 27963, 251913, 0};
static int joe_kuo_d6_initial_number17355[] = {1, 1, 5, 11, 5, 63, 107, 219, 53, 251, 1053, 2035, 77, 15885, 22011, 3945, 91, 204899, 0};
static int joe_kuo_d6_initial_number17356[] = {1, 3, 7, 13, 21, 45, 51, 53, 99, 831, 1421, 3171, 4241, 14105, 26161, 45071, 2813, 54339, 0};
static int joe_kuo_d6_initial_number17357[] = {1, 3, 5, 1, 3, 61, 43, 141, 355, 699, 11, 2203, 8055, 14815, 24597, 65201, 32689, 70167, 0};
static int joe_kuo_d6_initial_number17358[] = {1, 3, 1, 5, 11, 27, 109, 239, 199, 23, 375, 1477, 3197, 4401, 29901, 46623, 79593, 133143, 0};
static int joe_kuo_d6_initial_number17359[] = {1, 1, 1, 3, 23, 9, 63, 103, 41, 177, 1365, 1971, 5937, 13055, 27713, 13535, 47371, 57841, 0};
static int joe_kuo_d6_initial_number17360[] = {1, 1, 5, 5, 19, 15, 5, 21, 307, 65, 215, 3801, 4149, 6565, 10249, 63541, 30867, 12129, 0};
static int joe_kuo_d6_initial_number17361[] = {1, 3, 3, 9, 11, 1, 107, 99, 235, 331, 1479, 1365, 2557, 9545, 25767, 12461, 6471, 184643, 0};
static int joe_kuo_d6_initial_number17362[] = {1, 3, 3, 5, 17, 13, 103, 223, 95, 955, 1479, 1825, 705, 5311, 28531, 22787, 118899, 181829, 0};
static int joe_kuo_d6_initial_number17363[] = {1, 3, 7, 1, 5, 59, 65, 11, 251, 419, 659, 2559, 5445, 4221, 5871, 51845, 33925, 167037, 0};
static int joe_kuo_d6_initial_number17364[] = {1, 3, 5, 13, 15, 45, 35, 181, 325, 293, 1897, 3321, 6081, 9919, 27641, 9407, 35263, 231009, 0};
static int joe_kuo_d6_initial_number17365[] = {1, 3, 3, 3, 3, 35, 85, 33, 293, 777, 1945, 3771, 6967, 12353, 2737, 12501, 127359, 163591, 0};
static int joe_kuo_d6_initial_number17366[] = {1, 3, 7, 9, 13, 7, 119, 107, 309, 811, 1113, 2465, 4867, 4295, 565, 59159, 94587, 119761, 0};
static int joe_kuo_d6_initial_number17367[] = {1, 3, 3, 1, 1, 31, 61, 49, 461, 635, 233, 175, 6237, 10463, 17847, 54925, 115675, 260575, 0};
static int joe_kuo_d6_initial_number17368[] = {1, 3, 5, 15, 25, 17, 61, 155, 235, 483, 1771, 2903, 3163, 2525, 17153, 54701, 49521, 11911, 0};
static int joe_kuo_d6_initial_number17369[] = {1, 3, 3, 5, 1, 35, 51, 23, 187, 107, 177, 1381, 165, 6149, 10841, 3619, 107811, 188811, 0};
static int joe_kuo_d6_initial_number17370[] = {1, 1, 5, 9, 7, 35, 5, 233, 43, 913, 939, 2195, 1369, 5355, 7941, 26075, 66813, 227623, 0};
static int joe_kuo_d6_initial_number17371[] = {1, 3, 7, 11, 5, 43, 97, 211, 427, 875, 1179, 3631, 7989, 2419, 17209, 15789, 128209, 224117, 0};
static int joe_kuo_d6_initial_number17372[] = {1, 1, 1, 7, 17, 7, 109, 255, 111, 883, 371, 3481, 6031, 14665, 5905, 28735, 113003, 327, 0};
static int joe_kuo_d6_initial_number17373[] = {1, 3, 5, 3, 5, 61, 7, 155, 87, 861, 39, 3163, 179, 15493, 16403, 18755, 116157, 233185, 0};
static int joe_kuo_d6_initial_number17374[] = {1, 3, 5, 5, 23, 45, 67, 205, 395, 417, 1235, 669, 5097, 6823, 31483, 61395, 36073, 24183, 0};
static int joe_kuo_d6_initial_number17375[] = {1, 1, 3, 1, 11, 35, 123, 171, 125, 759, 197, 907, 2273, 3623, 31861, 60071, 91857, 158011, 0};
static int joe_kuo_d6_initial_number17376[] = {1, 3, 7, 11, 19, 19, 25, 25, 167, 429, 1565, 3179, 5453, 15731, 30727, 32111, 63685, 113309, 0};
static int joe_kuo_d6_initial_number17377[] = {1, 3, 7, 9, 15, 33, 67, 225, 495, 19, 1881, 1357, 4311, 9547, 18717, 20749, 8819, 209979, 0};
static int joe_kuo_d6_initial_number17378[] = {1, 3, 5, 3, 13, 47, 107, 153, 461, 815, 1521, 2361, 7721, 10631, 2799, 62321, 59755, 170803, 0};
static int joe_kuo_d6_initial_number17379[] = {1, 3, 7, 5, 25, 61, 5, 235, 71, 349, 1555, 3419, 1159, 2027, 17391, 29849, 47145, 122057, 0};
static int joe_kuo_d6_initial_number17380[] = {1, 1, 5, 11, 19, 19, 101, 45, 333, 553, 1431, 4077, 2629, 15997, 19793, 65521, 124287, 174675, 0};
static int joe_kuo_d6_initial_number17381[] = {1, 3, 7, 11, 25, 39, 103, 219, 375, 27, 227, 1061, 445, 14803, 18883, 49191, 33303, 114467, 0};
static int joe_kuo_d6_initial_number17382[] = {1, 1, 5, 7, 3, 13, 117, 29, 387, 891, 371, 2199, 7023, 13671, 26291, 61563, 2733, 16093, 0};
static int joe_kuo_d6_initial_number17383[] = {1, 3, 5, 11, 29, 5, 17, 249, 149, 777, 1817, 319, 19, 12321, 15241, 29069, 58381, 157467, 0};
static int joe_kuo_d6_initial_number17384[] = {1, 3, 7, 9, 29, 17, 81, 141, 201, 383, 429, 3675, 69, 8155, 22821, 60707, 127015, 248279, 0};
static int joe_kuo_d6_initial_number17385[] = {1, 3, 7, 9, 25, 5, 11, 27, 423, 987, 99, 3599, 4849, 4513, 32119, 34301, 6327, 249457, 0};
static int joe_kuo_d6_initial_number17386[] = {1, 3, 3, 7, 13, 25, 71, 227, 307, 985, 665, 3097, 6713, 3823, 6357, 58199, 84057, 28055, 0};
static int joe_kuo_d6_initial_number17387[] = {1, 3, 5, 7, 19, 21, 93, 45, 159, 527, 493, 59, 1111, 1415, 1949, 28525, 50343, 11039, 0};
static int joe_kuo_d6_initial_number17388[] = {1, 3, 5, 13, 17, 35, 79, 229, 449, 533, 235, 3445, 8153, 15473, 12975, 53909, 24589, 237049, 0};
static int joe_kuo_d6_initial_number17389[] = {1, 1, 7, 5, 3, 53, 93, 33, 339, 423, 497, 2691, 6125, 3931, 25357, 27509, 92509, 227209, 0};
static int joe_kuo_d6_initial_number17390[] = {1, 1, 7, 3, 13, 49, 111, 179, 449, 279, 827, 1481, 2477, 6867, 18079, 6261, 30885, 205675, 0};
static int joe_kuo_d6_initial_number17391[] = {1, 3, 7, 7, 11, 9, 13, 105, 367, 639, 1307, 1617, 4759, 8387, 8909, 13715, 56599, 113259, 0};
static int joe_kuo_d6_initial_number17392[] = {1, 1, 3, 3, 15, 17, 103, 125, 205, 67, 999, 3965, 907, 13235, 15275, 58457, 66889, 227279, 0};
static int joe_kuo_d6_initial_number17393[] = {1, 3, 3, 3, 11, 35, 99, 81, 421, 75, 1757, 2413, 5655, 1227, 4019, 14503, 20719, 224807, 0};
static int joe_kuo_d6_initial_number17394[] = {1, 1, 7, 11, 17, 17, 109, 203, 331, 813, 987, 2925, 1601, 13617, 29, 8235, 95129, 117987, 0};
static int joe_kuo_d6_initial_number17395[] = {1, 3, 7, 5, 5, 33, 105, 191, 183, 899, 1949, 2923, 2473, 3435, 8097, 35615, 10109, 62563, 0};
static int joe_kuo_d6_initial_number17396[] = {1, 1, 7, 13, 5, 25, 21, 159, 487, 415, 1507, 2161, 649, 14425, 2605, 8357, 92441, 87323, 0};
static int joe_kuo_d6_initial_number17397[] = {1, 3, 7, 15, 3, 23, 87, 209, 407, 765, 975, 3859, 675, 6351, 18703, 44919, 57155, 134961, 0};
static int joe_kuo_d6_initial_number17398[] = {1, 3, 5, 15, 7, 59, 77, 37, 235, 565, 1707, 3531, 6733, 2223, 12621, 59523, 83547, 172355, 0};
static int joe_kuo_d6_initial_number17399[] = {1, 3, 7, 5, 23, 15, 57, 217, 151, 333, 1033, 2549, 303, 1455, 5329, 20187, 55415, 166093, 0};
static int joe_kuo_d6_initial_number17400[] = {1, 3, 1, 13, 21, 27, 1, 85, 335, 201, 135, 2603, 291, 10573, 28411, 1059, 129871, 98303, 0};
static int joe_kuo_d6_initial_number17401[] = {1, 1, 3, 5, 23, 61, 123, 169, 503, 629, 711, 2795, 2291, 13273, 32703, 63377, 72809, 214927, 0};
static int joe_kuo_d6_initial_number17402[] = {1, 3, 5, 13, 31, 11, 115, 133, 443, 709, 263, 3739, 2777, 11545, 19137, 61285, 64065, 214477, 0};
static int joe_kuo_d6_initial_number17403[] = {1, 3, 1, 11, 29, 25, 3, 5, 385, 613, 1277, 1445, 1643, 15137, 28041, 47713, 122051, 62915, 0};
static int joe_kuo_d6_initial_number17404[] = {1, 3, 5, 11, 3, 11, 1, 137, 457, 577, 783, 1745, 5, 5817, 26569, 50751, 14075, 246219, 0};
static int joe_kuo_d6_initial_number17405[] = {1, 1, 1, 9, 7, 9, 105, 27, 167, 939, 799, 2773, 6427, 15579, 1975, 10695, 111429, 227105, 0};
static int joe_kuo_d6_initial_number17406[] = {1, 3, 1, 11, 23, 23, 73, 103, 103, 61, 1743, 3061, 8127, 15893, 21223, 43549, 103659, 89129, 0};
static int joe_kuo_d6_initial_number17407[] = {1, 1, 7, 13, 5, 43, 59, 235, 139, 961, 839, 3843, 1317, 4903, 21043, 15479, 115065, 112531, 0};
static int joe_kuo_d6_initial_number17408[] = {1, 3, 1, 3, 19, 15, 57, 145, 193, 321, 1919, 385, 125, 15517, 14243, 62845, 38995, 120045, 0};
static int joe_kuo_d6_initial_number17409[] = {1, 3, 3, 7, 17, 61, 77, 75, 267, 203, 1911, 2599, 1797, 761, 28101, 58603, 107755, 158689, 0};
static int joe_kuo_d6_initial_number17410[] = {1, 1, 5, 11, 15, 21, 71, 227, 377, 361, 2013, 129, 6271, 1421, 6009, 52261, 113389, 74915, 0};
static int joe_kuo_d6_initial_number17411[] = {1, 1, 5, 7, 3, 39, 27, 49, 97, 885, 651, 1633, 3445, 3415, 20167, 26667, 52997, 221391, 0};
static int joe_kuo_d6_initial_number17412[] = {1, 1, 7, 9, 7, 59, 95, 127, 479, 871, 845, 2951, 673, 6385, 10057, 2605, 78529, 230771, 0};
static int joe_kuo_d6_initial_number17413[] = {1, 3, 5, 7, 31, 15, 53, 125, 223, 711, 875, 429, 7237, 4005, 2153, 26865, 63205, 144125, 0};
static int joe_kuo_d6_initial_number17414[] = {1, 1, 7, 9, 1, 57, 19, 189, 67, 423, 1937, 37, 4925, 15503, 25969, 20419, 59921, 58119, 0};
static int joe_kuo_d6_initial_number17415[] = {1, 1, 7, 7, 31, 51, 99, 189, 21, 1011, 1551, 3529, 7617, 15805, 11365, 43123, 84785, 203703, 0};
static int joe_kuo_d6_initial_number17416[] = {1, 1, 3, 15, 3, 63, 9, 67, 399, 151, 253, 1839, 1365, 16295, 13145, 29211, 48681, 177643, 0};
static int joe_kuo_d6_initial_number17417[] = {1, 1, 1, 5, 13, 37, 1, 21, 435, 483, 939, 535, 1505, 10879, 7027, 5599, 63261, 158573, 0};
static int joe_kuo_d6_initial_number17418[] = {1, 1, 7, 15, 13, 39, 113, 209, 213, 1017, 1197, 285, 4221, 6831, 13383, 2265, 34313, 160879, 0};
static int joe_kuo_d6_initial_number17419[] = {1, 3, 7, 15, 25, 23, 95, 217, 141, 681, 451, 1275, 4957, 10197, 21375, 50905, 11087, 96135, 0};
static int joe_kuo_d6_initial_number17420[] = {1, 3, 1, 11, 17, 35, 87, 15, 57, 777, 1429, 615, 681, 8437, 23981, 51781, 112169, 198471, 0};
static int joe_kuo_d6_initial_number17421[] = {1, 3, 1, 5, 21, 37, 113, 105, 123, 327, 549, 1641, 7697, 2127, 5709, 8351, 56787, 260157, 0};
static int joe_kuo_d6_initial_number17422[] = {1, 3, 7, 15, 19, 17, 51, 15, 367, 89, 1635, 353, 4855, 1551, 7197, 27403, 11259, 176029, 0};
static int joe_kuo_d6_initial_number17423[] = {1, 3, 1, 1, 27, 9, 3, 35, 213, 31, 885, 797, 7077, 15641, 22509, 35193, 112411, 157335, 0};
static int joe_kuo_d6_initial_number17424[] = {1, 1, 5, 1, 5, 9, 101, 149, 169, 581, 1927, 197, 5935, 6361, 3915, 15541, 69575, 102451, 0};
static int joe_kuo_d6_initial_number17425[] = {1, 3, 3, 13, 23, 63, 45, 205, 271, 17, 707, 937, 2547, 12019, 8559, 26163, 58117, 138625, 0};
static int joe_kuo_d6_initial_number17426[] = {1, 1, 3, 1, 19, 63, 125, 175, 253, 629, 1121, 3701, 7755, 61, 13037, 39417, 6179, 261923, 0};
static int joe_kuo_d6_initial_number17427[] = {1, 1, 5, 1, 25, 63, 27, 245, 371, 657, 157, 3821, 3279, 8977, 9065, 35611, 27325, 205737, 0};
static int joe_kuo_d6_initial_number17428[] = {1, 3, 7, 15, 7, 57, 19, 191, 1, 927, 1379, 2579, 4335, 7163, 4877, 51435, 17309, 100173, 0};
static int joe_kuo_d6_initial_number17429[] = {1, 1, 1, 5, 21, 59, 107, 195, 317, 691, 541, 69, 7235, 2175, 25191, 23913, 126369, 9263, 0};
static int joe_kuo_d6_initial_number17430[] = {1, 3, 5, 15, 17, 7, 67, 27, 263, 855, 1065, 973, 6705, 10729, 8719, 32741, 59207, 249107, 0};
static int joe_kuo_d6_initial_number17431[] = {1, 3, 1, 1, 21, 23, 115, 119, 351, 207, 1691, 1105, 7479, 3877, 24439, 29017, 34171, 133797, 0};
static int joe_kuo_d6_initial_number17432[] = {1, 3, 3, 3, 11, 23, 39, 165, 99, 1023, 309, 3933, 4235, 3891, 27237, 30887, 34363, 175017, 0};
static int joe_kuo_d6_initial_number17433[] = {1, 3, 1, 5, 17, 33, 79, 105, 253, 515, 823, 1783, 1523, 2095, 10355, 8929, 51001, 112815, 0};
static int joe_kuo_d6_initial_number17434[] = {1, 3, 7, 15, 11, 27, 123, 161, 279, 541, 1343, 1009, 6015, 8565, 27031, 233, 2153, 179243, 0};
static int joe_kuo_d6_initial_number17435[] = {1, 1, 7, 7, 1, 53, 1, 33, 75, 57, 723, 3855, 3301, 14941, 6637, 25181, 103441, 208339, 0};
static int joe_kuo_d6_initial_number17436[] = {1, 3, 7, 13, 3, 23, 11, 75, 55, 19, 1181, 3451, 4901, 2621, 18323, 42395, 95701, 237753, 0};
static int joe_kuo_d6_initial_number17437[] = {1, 1, 1, 5, 1, 1, 123, 203, 367, 71, 1897, 295, 6719, 2647, 7135, 34511, 79853, 58351, 0};
static int joe_kuo_d6_initial_number17438[] = {1, 3, 3, 7, 7, 63, 87, 91, 223, 265, 927, 3843, 1703, 11633, 8077, 26425, 46573, 181201, 0};
static int joe_kuo_d6_initial_number17439[] = {1, 3, 3, 3, 1, 51, 3, 99, 37, 251, 1739, 2813, 3955, 8745, 4425, 42419, 124177, 173997, 0};
static int joe_kuo_d6_initial_number17440[] = {1, 3, 5, 15, 9, 19, 11, 207, 123, 287, 1703, 2155, 2729, 4541, 4925, 4735, 77159, 97911, 0};
static int joe_kuo_d6_initial_number17441[] = {1, 3, 3, 15, 23, 31, 35, 33, 507, 315, 1071, 3001, 7569, 11749, 3183, 6989, 68637, 177803, 0};
static int joe_kuo_d6_initial_number17442[] = {1, 3, 5, 1, 31, 1, 113, 39, 295, 263, 1113, 619, 5523, 15385, 24115, 24233, 91943, 129299, 0};
static int joe_kuo_d6_initial_number17443[] = {1, 1, 5, 11, 9, 57, 89, 49, 67, 601, 1277, 2275, 6349, 4141, 28397, 47061, 28143, 126291, 0};
static int joe_kuo_d6_initial_number17444[] = {1, 3, 7, 15, 11, 63, 123, 187, 305, 1009, 1509, 2569, 2235, 8233, 27351, 53437, 34353, 105799, 0};
static int joe_kuo_d6_initial_number17445[] = {1, 1, 3, 1, 13, 9, 11, 169, 427, 171, 1031, 633, 4275, 1173, 11233, 57997, 107753, 257337, 0};
static int joe_kuo_d6_initial_number17446[] = {1, 3, 5, 5, 3, 39, 49, 233, 309, 999, 1275, 85, 1663, 16275, 9145, 18439, 59055, 249657, 0};
static int joe_kuo_d6_initial_number17447[] = {1, 1, 3, 7, 11, 55, 73, 75, 115, 397, 945, 3657, 6847, 7341, 21305, 30119, 65675, 169281, 0};
static int joe_kuo_d6_initial_number17448[] = {1, 1, 7, 7, 3, 5, 31, 179, 183, 479, 329, 217, 1077, 6893, 23425, 21903, 34293, 184819, 0};
static int joe_kuo_d6_initial_number17449[] = {1, 1, 3, 3, 7, 63, 97, 255, 289, 917, 1881, 3829, 2433, 3473, 11045, 37739, 73349, 171899, 0};
static int joe_kuo_d6_initial_number17450[] = {1, 3, 5, 5, 27, 23, 61, 151, 353, 667, 1889, 2323, 3261, 15999, 24225, 35265, 97301, 75743, 0};
static int joe_kuo_d6_initial_number17451[] = {1, 3, 7, 1, 19, 41, 81, 61, 461, 275, 131, 2665, 5615, 1719, 21047, 42025, 97725, 196587, 0};
static int joe_kuo_d6_initial_number17452[] = {1, 1, 7, 11, 3, 5, 47, 107, 397, 237, 1795, 3049, 5317, 14147, 15299, 50469, 83855, 75685, 0};
static int joe_kuo_d6_initial_number17453[] = {1, 1, 7, 7, 19, 31, 39, 153, 225, 591, 1547, 3755, 3219, 15823, 4015, 30977, 63999, 198023, 0};
static int joe_kuo_d6_initial_number17454[] = {1, 3, 1, 1, 17, 57, 91, 3, 425, 465, 735, 719, 2955, 3003, 6669, 14335, 32137, 82265, 0};
static int joe_kuo_d6_initial_number17455[] = {1, 3, 1, 9, 13, 25, 93, 187, 119, 735, 447, 3387, 5111, 6525, 28241, 37643, 99023, 58551, 0};
static int joe_kuo_d6_initial_number17456[] = {1, 1, 7, 1, 23, 15, 105, 89, 109, 743, 2007, 3131, 4839, 3285, 14681, 47097, 69531, 104647, 0};
static int joe_kuo_d6_initial_number17457[] = {1, 1, 5, 7, 27, 33, 85, 109, 165, 569, 511, 3223, 2201, 2869, 30457, 42585, 125187, 83115, 0};
static int joe_kuo_d6_initial_number17458[] = {1, 1, 7, 13, 1, 39, 55, 69, 279, 757, 425, 1317, 2403, 10711, 3341, 33491, 5607, 214161, 0};
static int joe_kuo_d6_initial_number17459[] = {1, 3, 3, 9, 23, 57, 109, 9, 473, 323, 1371, 657, 5039, 1947, 12787, 29099, 81887, 44039, 0};
static int joe_kuo_d6_initial_number17460[] = {1, 3, 1, 9, 21, 49, 39, 71, 493, 611, 1465, 3965, 7509, 5315, 4095, 21865, 123533, 148467, 0};
static int joe_kuo_d6_initial_number17461[] = {1, 1, 7, 5, 15, 45, 67, 109, 143, 423, 205, 849, 1291, 245, 26275, 62873, 69177, 173705, 0};
static int joe_kuo_d6_initial_number17462[] = {1, 3, 7, 13, 3, 13, 103, 45, 171, 919, 903, 2171, 5025, 14855, 895, 36937, 37643, 30311, 0};
static int joe_kuo_d6_initial_number17463[] = {1, 3, 1, 5, 31, 35, 67, 111, 201, 183, 375, 905, 5705, 8839, 31551, 22525, 53013, 34189, 0};
static int joe_kuo_d6_initial_number17464[] = {1, 1, 3, 7, 25, 11, 85, 231, 285, 957, 1731, 1267, 8179, 14195, 18405, 8489, 32503, 86257, 0};
static int joe_kuo_d6_initial_number17465[] = {1, 3, 7, 5, 29, 7, 73, 15, 501, 909, 1325, 793, 4479, 12137, 30871, 36243, 109781, 7235, 0};
static int joe_kuo_d6_initial_number17466[] = {1, 1, 3, 15, 13, 13, 75, 221, 497, 921, 1939, 2791, 5277, 6257, 11129, 109, 27549, 44901, 0};
static int joe_kuo_d6_initial_number17467[] = {1, 1, 7, 3, 21, 9, 35, 113, 101, 15, 545, 2429, 5869, 11379, 14427, 28605, 108313, 220523, 0};
static int joe_kuo_d6_initial_number17468[] = {1, 3, 5, 5, 21, 31, 79, 101, 11, 687, 609, 3741, 1259, 1529, 10185, 49863, 86529, 5147, 0};
static int joe_kuo_d6_initial_number17469[] = {1, 3, 1, 5, 5, 49, 105, 213, 435, 201, 511, 525, 5219, 9503, 32023, 25407, 2493, 51165, 0};
static int joe_kuo_d6_initial_number17470[] = {1, 1, 5, 9, 9, 61, 67, 107, 351, 519, 1373, 1261, 1069, 4325, 9579, 37117, 71759, 17601, 0};
static int joe_kuo_d6_initial_number17471[] = {1, 1, 7, 7, 27, 63, 63, 229, 239, 291, 1813, 3831, 8091, 2553, 18445, 60707, 88855, 224325, 0};
static int joe_kuo_d6_initial_number17472[] = {1, 1, 5, 7, 15, 23, 109, 7, 409, 447, 185, 3535, 4643, 13431, 11107, 48771, 95843, 155889, 0};
static int joe_kuo_d6_initial_number17473[] = {1, 3, 3, 11, 9, 47, 13, 31, 83, 837, 1661, 2283, 299, 13161, 25305, 6079, 107237, 58477, 0};
static int joe_kuo_d6_initial_number17474[] = {1, 3, 7, 15, 3, 31, 21, 245, 105, 141, 703, 71, 1887, 9345, 15719, 37737, 58431, 195997, 0};
static int joe_kuo_d6_initial_number17475[] = {1, 1, 1, 13, 25, 21, 23, 67, 349, 581, 1585, 809, 3955, 4621, 25989, 25633, 107229, 193271, 0};
static int joe_kuo_d6_initial_number17476[] = {1, 1, 5, 3, 15, 57, 111, 147, 243, 575, 851, 3461, 5171, 4203, 21855, 59579, 90509, 16897, 0};
static int joe_kuo_d6_initial_number17477[] = {1, 1, 5, 13, 5, 45, 83, 59, 253, 261, 1277, 3179, 6397, 4277, 6629, 10979, 55759, 3033, 0};
static int joe_kuo_d6_initial_number17478[] = {1, 1, 1, 9, 25, 1, 127, 159, 273, 357, 1343, 3209, 649, 6631, 1365, 40813, 98955, 181679, 0};
static int joe_kuo_d6_initial_number17479[] = {1, 3, 1, 11, 1, 9, 67, 5, 41, 661, 863, 3769, 2737, 7261, 26829, 43093, 113025, 127975, 0};
static int joe_kuo_d6_initial_number17480[] = {1, 1, 3, 3, 7, 5, 77, 207, 125, 625, 437, 1059, 2635, 1099, 25567, 63759, 97575, 231313, 0};
static int joe_kuo_d6_initial_number17481[] = {1, 3, 7, 5, 21, 41, 11, 177, 489, 405, 1831, 1373, 6267, 11275, 23613, 55565, 120353, 98771, 0};
static int joe_kuo_d6_initial_number17482[] = {1, 1, 3, 11, 15, 55, 103, 185, 493, 755, 1235, 3143, 4355, 4887, 11245, 60103, 4023, 184729, 0};
static int joe_kuo_d6_initial_number17483[] = {1, 3, 1, 1, 23, 5, 103, 117, 269, 101, 2013, 1781, 6445, 8753, 15041, 13993, 28753, 47133, 0};
static int joe_kuo_d6_initial_number17484[] = {1, 3, 7, 5, 9, 23, 1, 203, 19, 535, 1445, 1713, 5503, 11555, 6195, 35797, 55663, 10187, 0};
static int joe_kuo_d6_initial_number17485[] = {1, 3, 5, 1, 15, 3, 125, 225, 447, 269, 1663, 1823, 4309, 12243, 16689, 3889, 41111, 123355, 0};
static int joe_kuo_d6_initial_number17486[] = {1, 1, 1, 5, 21, 33, 83, 147, 243, 101, 1085, 121, 4939, 6081, 22621, 52995, 103047, 82531, 0};
static int joe_kuo_d6_initial_number17487[] = {1, 3, 5, 3, 21, 3, 5, 81, 431, 191, 1973, 3675, 6691, 8687, 31619, 51669, 95541, 110447, 0};
static int joe_kuo_d6_initial_number17488[] = {1, 1, 1, 15, 1, 11, 83, 145, 75, 133, 967, 2837, 5111, 6099, 9119, 53661, 128647, 40557, 0};
static int joe_kuo_d6_initial_number17489[] = {1, 1, 1, 7, 3, 57, 101, 231, 255, 117, 1903, 2133, 3867, 11299, 647, 58853, 22153, 135959, 0};
static int joe_kuo_d6_initial_number17490[] = {1, 3, 5, 5, 9, 19, 89, 229, 313, 421, 201, 953, 2487, 6283, 1305, 33421, 20933, 164841, 0};
static int joe_kuo_d6_initial_number17491[] = {1, 1, 3, 3, 1, 45, 93, 165, 343, 577, 1329, 3019, 2727, 14397, 7123, 63347, 45525, 35133, 0};
static int joe_kuo_d6_initial_number17492[] = {1, 3, 5, 5, 19, 1, 33, 55, 49, 1003, 1567, 2539, 7461, 14641, 7655, 37499, 65525, 84961, 0};
static int joe_kuo_d6_initial_number17493[] = {1, 3, 5, 5, 29, 3, 77, 39, 251, 791, 215, 3779, 1589, 3577, 22299, 24133, 105449, 257157, 0};
static int joe_kuo_d6_initial_number17494[] = {1, 3, 1, 5, 7, 23, 109, 209, 35, 571, 1047, 3453, 3657, 11713, 19379, 57101, 29943, 60909, 0};
static int joe_kuo_d6_initial_number17495[] = {1, 1, 7, 11, 17, 63, 15, 175, 333, 831, 1447, 1991, 3339, 2519, 30127, 51481, 71935, 144995, 0};
static int joe_kuo_d6_initial_number17496[] = {1, 3, 1, 11, 13, 51, 17, 67, 43, 209, 789, 1285, 5655, 5841, 10203, 32053, 15721, 211725, 0};
static int joe_kuo_d6_initial_number17497[] = {1, 1, 5, 7, 31, 49, 69, 255, 325, 819, 1769, 1961, 7403, 1241, 2241, 40425, 14839, 178969, 0};
static int joe_kuo_d6_initial_number17498[] = {1, 1, 3, 9, 1, 5, 9, 35, 167, 865, 337, 1079, 6195, 10139, 19215, 57607, 122437, 197147, 0};
static int joe_kuo_d6_initial_number17499[] = {1, 1, 1, 15, 23, 7, 47, 155, 345, 547, 333, 3747, 961, 1397, 17067, 33385, 48253, 138611, 0};
static int joe_kuo_d6_initial_number17500[] = {1, 1, 7, 9, 29, 27, 81, 183, 153, 171, 1125, 1929, 1047, 12463, 1543, 42981, 126163, 203259, 0};
static int joe_kuo_d6_initial_number17501[] = {1, 1, 5, 3, 1, 41, 123, 213, 7, 179, 1, 3527, 1437, 3545, 2025, 5325, 27097, 187823, 0};
static int joe_kuo_d6_initial_number17502[] = {1, 1, 7, 1, 19, 5, 111, 251, 431, 91, 1437, 1155, 335, 9587, 18287, 23937, 123331, 3939, 0};
static int joe_kuo_d6_initial_number17503[] = {1, 1, 1, 9, 13, 59, 75, 219, 225, 313, 525, 2003, 7829, 7063, 22123, 4263, 95491, 9375, 0};
static int joe_kuo_d6_initial_number17504[] = {1, 3, 1, 1, 27, 29, 71, 189, 169, 301, 165, 2967, 5147, 7127, 2191, 34259, 66605, 149603, 0};
static int joe_kuo_d6_initial_number17505[] = {1, 3, 5, 13, 29, 57, 105, 31, 495, 311, 1161, 2109, 1471, 1275, 12761, 58379, 46365, 229935, 0};
static int joe_kuo_d6_initial_number17506[] = {1, 1, 7, 3, 7, 49, 125, 189, 309, 399, 1361, 3969, 2177, 8171, 26623, 41855, 2809, 5825, 0};
static int joe_kuo_d6_initial_number17507[] = {1, 3, 5, 7, 17, 21, 77, 101, 37, 661, 1743, 2243, 823, 12431, 26931, 7163, 108093, 191305, 0};
static int joe_kuo_d6_initial_number17508[] = {1, 1, 7, 5, 27, 55, 109, 119, 13, 727, 421, 3469, 1137, 6125, 5107, 52733, 102891, 147425, 0};
static int joe_kuo_d6_initial_number17509[] = {1, 1, 3, 5, 17, 45, 17, 211, 137, 21, 689, 1487, 233, 9845, 6499, 52617, 73081, 198137, 0};
static int joe_kuo_d6_initial_number17510[] = {1, 3, 7, 1, 25, 27, 67, 7, 161, 633, 729, 807, 7371, 7301, 29499, 45939, 110565, 219491, 0};
static int joe_kuo_d6_initial_number17511[] = {1, 3, 3, 13, 17, 7, 55, 211, 103, 981, 1809, 1913, 5705, 14011, 7405, 13893, 92053, 17997, 0};
static int joe_kuo_d6_initial_number17512[] = {1, 1, 1, 1, 15, 9, 75, 37, 5, 443, 157, 2749, 5587, 16087, 14953, 26793, 21229, 226879, 0};
static int joe_kuo_d6_initial_number17513[] = {1, 3, 3, 3, 9, 13, 113, 7, 255, 647, 235, 1713, 525, 8579, 20873, 49565, 43869, 145823, 0};
static int joe_kuo_d6_initial_number17514[] = {1, 1, 5, 15, 9, 1, 119, 189, 73, 321, 1045, 467, 1565, 14381, 22683, 7939, 44337, 231901, 0};
static int joe_kuo_d6_initial_number17515[] = {1, 1, 3, 13, 21, 61, 35, 105, 425, 395, 381, 1205, 3631, 8099, 23723, 29435, 94683, 180367, 0};
static int joe_kuo_d6_initial_number17516[] = {1, 3, 3, 13, 19, 15, 59, 111, 355, 165, 857, 3131, 5037, 2527, 17533, 53563, 621, 89837, 0};
static int joe_kuo_d6_initial_number17517[] = {1, 3, 3, 11, 11, 41, 3, 75, 179, 325, 897, 3141, 75, 1735, 493, 1123, 126763, 68645, 0};
static int joe_kuo_d6_initial_number17518[] = {1, 3, 5, 7, 19, 61, 9, 99, 101, 583, 1967, 621, 1869, 10693, 2025, 62797, 85727, 212309, 0};
static int joe_kuo_d6_initial_number17519[] = {1, 3, 1, 13, 23, 47, 15, 29, 199, 889, 423, 3995, 1655, 10753, 25301, 55551, 94829, 205833, 0};
static int joe_kuo_d6_initial_number17520[] = {1, 1, 1, 1, 21, 1, 91, 237, 195, 721, 881, 1155, 4109, 10367, 1873, 6851, 13295, 182363, 0};
static int joe_kuo_d6_initial_number17521[] = {1, 1, 5, 15, 19, 35, 37, 197, 137, 255, 93, 681, 949, 15183, 24785, 39357, 65547, 149013, 0};
static int joe_kuo_d6_initial_number17522[] = {1, 3, 3, 3, 27, 27, 95, 239, 171, 513, 655, 1629, 4577, 3005, 1681, 2581, 59995, 83981, 0};
static int joe_kuo_d6_initial_number17523[] = {1, 3, 3, 7, 29, 33, 111, 85, 437, 297, 1563, 2411, 6171, 2043, 17625, 59093, 995, 211599, 0};
static int joe_kuo_d6_initial_number17524[] = {1, 3, 1, 13, 19, 35, 33, 9, 57, 153, 819, 2017, 5879, 13559, 23135, 25981, 41091, 50975, 0};
static int joe_kuo_d6_initial_number17525[] = {1, 3, 5, 11, 23, 53, 11, 123, 119, 57, 1775, 3457, 7939, 4999, 10771, 23571, 30099, 17361, 0};
static int joe_kuo_d6_initial_number17526[] = {1, 1, 7, 11, 27, 13, 7, 215, 7, 1009, 1967, 1845, 6679, 13781, 21797, 18755, 47131, 245907, 0};
static int joe_kuo_d6_initial_number17527[] = {1, 1, 1, 3, 19, 47, 35, 13, 287, 349, 439, 3125, 2387, 12483, 3833, 29399, 27037, 30235, 0};
static int joe_kuo_d6_initial_number17528[] = {1, 3, 1, 15, 17, 41, 15, 21, 499, 87, 1899, 2835, 1919, 925, 4525, 12935, 25021, 106657, 0};
static int joe_kuo_d6_initial_number17529[] = {1, 1, 1, 13, 17, 59, 73, 75, 443, 199, 1871, 3447, 4517, 8395, 16661, 30655, 17871, 231337, 0};
static int joe_kuo_d6_initial_number17530[] = {1, 1, 7, 1, 1, 53, 17, 49, 259, 77, 917, 631, 6061, 12291, 17715, 49761, 70699, 68313, 0};
static int joe_kuo_d6_initial_number17531[] = {1, 1, 3, 9, 13, 27, 67, 149, 229, 347, 1397, 3457, 6047, 13117, 11, 18121, 70323, 36441, 0};
static int joe_kuo_d6_initial_number17532[] = {1, 3, 5, 7, 27, 13, 69, 177, 451, 87, 647, 3797, 5433, 3137, 20213, 9809, 126877, 55243, 0};
static int joe_kuo_d6_initial_number17533[] = {1, 3, 7, 13, 21, 57, 73, 157, 173, 631, 1527, 337, 5605, 8041, 2181, 19567, 19829, 63353, 0};
static int joe_kuo_d6_initial_number17534[] = {1, 3, 3, 7, 11, 5, 111, 161, 247, 553, 435, 3883, 5639, 10889, 8953, 58297, 15197, 99711, 0};
static int joe_kuo_d6_initial_number17535[] = {1, 1, 7, 13, 11, 29, 71, 251, 387, 1003, 1275, 763, 67, 10597, 5995, 53677, 4683, 2157, 0};
static int joe_kuo_d6_initial_number17536[] = {1, 1, 3, 9, 23, 27, 93, 209, 325, 517, 297, 3215, 4359, 395, 10377, 36967, 69803, 190037, 0};
static int joe_kuo_d6_initial_number17537[] = {1, 1, 1, 3, 27, 61, 21, 229, 469, 3, 387, 523, 4753, 2267, 9879, 32113, 60837, 76205, 0};
static int joe_kuo_d6_initial_number17538[] = {1, 3, 1, 7, 31, 31, 67, 15, 161, 699, 713, 2973, 2007, 693, 21823, 57549, 28989, 157879, 0};
static int joe_kuo_d6_initial_number17539[] = {1, 3, 1, 1, 3, 63, 111, 61, 311, 685, 1029, 345, 6763, 16217, 14505, 9777, 3513, 160985, 0};
static int joe_kuo_d6_initial_number17540[] = {1, 1, 1, 11, 5, 25, 13, 79, 337, 3, 1997, 3489, 7621, 12115, 9221, 7953, 19067, 52697, 0};
static int joe_kuo_d6_initial_number17541[] = {1, 1, 1, 3, 19, 3, 85, 127, 475, 391, 293, 2249, 1211, 1185, 17133, 6753, 65517, 98157, 0};
static int joe_kuo_d6_initial_number17542[] = {1, 1, 5, 9, 11, 31, 57, 107, 315, 983, 1117, 2189, 4813, 9925, 26635, 30589, 32989, 44195, 0};
static int joe_kuo_d6_initial_number17543[] = {1, 1, 7, 7, 21, 1, 1, 221, 421, 199, 539, 3981, 4627, 15655, 12621, 20427, 11619, 187185, 0};
static int joe_kuo_d6_initial_number17544[] = {1, 1, 7, 5, 13, 19, 49, 31, 55, 35, 1847, 3173, 475, 15245, 30907, 50075, 130837, 87283, 0};
static int joe_kuo_d6_initial_number17545[] = {1, 1, 7, 15, 13, 47, 13, 17, 169, 185, 1411, 1689, 2339, 2159, 10591, 52283, 26785, 255707, 0};
static int joe_kuo_d6_initial_number17546[] = {1, 3, 5, 7, 3, 29, 7, 83, 329, 747, 1755, 1067, 2565, 2437, 12309, 15043, 97589, 69409, 0};
static int joe_kuo_d6_initial_number17547[] = {1, 3, 3, 9, 19, 49, 9, 231, 427, 131, 485, 1637, 1129, 14723, 19071, 47997, 74613, 171539, 0};
static int joe_kuo_d6_initial_number17548[] = {1, 1, 1, 1, 5, 17, 105, 39, 313, 407, 1321, 3013, 8035, 4395, 15917, 21105, 53599, 21341, 0};
static int joe_kuo_d6_initial_number17549[] = {1, 3, 1, 15, 7, 35, 5, 153, 485, 1019, 713, 1891, 5023, 13885, 15911, 48215, 81719, 228189, 0};
static int joe_kuo_d6_initial_number17550[] = {1, 1, 3, 3, 19, 3, 103, 55, 221, 847, 27, 1653, 4887, 3617, 30235, 42353, 67007, 21443, 0};
static int joe_kuo_d6_initial_number17551[] = {1, 1, 7, 15, 15, 39, 65, 189, 251, 411, 1953, 1187, 141, 14919, 7763, 50879, 2569, 63467, 0};
static int joe_kuo_d6_initial_number17552[] = {1, 1, 7, 1, 15, 3, 37, 133, 11, 745, 697, 3755, 1233, 2009, 25597, 40661, 40743, 198117, 0};
static int joe_kuo_d6_initial_number17553[] = {1, 1, 7, 15, 5, 17, 13, 253, 197, 491, 1499, 2141, 6803, 13833, 27297, 385, 54341, 64305, 0};
static int joe_kuo_d6_initial_number17554[] = {1, 3, 5, 7, 3, 11, 19, 193, 441, 575, 1649, 1821, 2621, 15803, 7343, 37361, 16467, 60629, 0};
static int joe_kuo_d6_initial_number17555[] = {1, 3, 3, 11, 11, 29, 109, 1, 83, 475, 1913, 1975, 1289, 5221, 24221, 7479, 26683, 203435, 0};
static int joe_kuo_d6_initial_number17556[] = {1, 1, 3, 13, 3, 35, 119, 131, 323, 413, 147, 4009, 3167, 11161, 30523, 65223, 109859, 239317, 0};
static int joe_kuo_d6_initial_number17557[] = {1, 3, 1, 11, 25, 17, 103, 165, 437, 163, 1141, 105, 3655, 8105, 20859, 50727, 27915, 19309, 0};
static int joe_kuo_d6_initial_number17558[] = {1, 3, 3, 11, 9, 59, 17, 135, 131, 781, 675, 2865, 7287, 11431, 3717, 56691, 54971, 83433, 0};
static int joe_kuo_d6_initial_number17559[] = {1, 1, 1, 11, 3, 1, 59, 35, 299, 927, 1761, 823, 287, 13271, 30321, 32895, 45961, 23151, 0};
static int joe_kuo_d6_initial_number17560[] = {1, 3, 3, 7, 11, 3, 11, 115, 241, 497, 1359, 1789, 6677, 2683, 21145, 58185, 46131, 17591, 0};
static int joe_kuo_d6_initial_number17561[] = {1, 3, 1, 3, 17, 5, 65, 169, 247, 1001, 1183, 1801, 759, 2797, 28721, 7549, 112463, 127451, 0};
static int joe_kuo_d6_initial_number17562[] = {1, 1, 1, 11, 1, 49, 5, 227, 333, 793, 759, 2845, 6261, 6325, 6581, 35853, 39737, 21457, 0};
static int joe_kuo_d6_initial_number17563[] = {1, 1, 1, 3, 7, 17, 81, 105, 453, 207, 1113, 301, 4933, 14715, 18815, 29165, 85251, 209171, 0};
static int joe_kuo_d6_initial_number17564[] = {1, 3, 1, 13, 3, 25, 7, 109, 249, 649, 1009, 937, 659, 14605, 13325, 26003, 45507, 166837, 0};
static int joe_kuo_d6_initial_number17565[] = {1, 3, 7, 11, 19, 57, 55, 213, 261, 325, 761, 3167, 6823, 15039, 13329, 30195, 52103, 27877, 0};
static int joe_kuo_d6_initial_number17566[] = {1, 3, 3, 11, 31, 45, 3, 185, 225, 143, 651, 327, 4263, 6005, 31577, 57779, 90485, 48393, 0};
static int joe_kuo_d6_initial_number17567[] = {1, 1, 3, 13, 9, 21, 97, 63, 285, 531, 1275, 175, 693, 3735, 15137, 62193, 80533, 196545, 0};
static int joe_kuo_d6_initial_number17568[] = {1, 1, 1, 11, 5, 25, 101, 111, 101, 17, 1999, 3709, 19, 5087, 20151, 4781, 88417, 186293, 0};
static int joe_kuo_d6_initial_number17569[] = {1, 1, 5, 7, 31, 37, 39, 85, 451, 189, 1521, 619, 5021, 2601, 32447, 43513, 8317, 170611, 0};
static int joe_kuo_d6_initial_number17570[] = {1, 1, 7, 1, 25, 45, 33, 111, 443, 719, 1869, 3619, 5751, 2649, 27823, 55465, 113203, 23875, 0};
static int joe_kuo_d6_initial_number17571[] = {1, 3, 5, 15, 19, 47, 49, 241, 75, 395, 307, 1001, 137, 7029, 21661, 39159, 94129, 106693, 0};
static int joe_kuo_d6_initial_number17572[] = {1, 3, 7, 1, 7, 35, 85, 27, 285, 975, 565, 2119, 5861, 9229, 15877, 25017, 10551, 155357, 0};
static int joe_kuo_d6_initial_number17573[] = {1, 3, 3, 5, 29, 41, 17, 159, 211, 571, 907, 1745, 6541, 11643, 4441, 54599, 83359, 57227, 0};
static int joe_kuo_d6_initial_number17574[] = {1, 3, 7, 5, 19, 11, 37, 191, 75, 443, 1833, 1715, 6949, 2477, 31161, 15647, 84305, 82887, 0};
static int joe_kuo_d6_initial_number17575[] = {1, 1, 3, 9, 29, 35, 87, 11, 147, 443, 1659, 2457, 1615, 16135, 10729, 31583, 111583, 52607, 0};
static int joe_kuo_d6_initial_number17576[] = {1, 3, 7, 1, 7, 47, 55, 133, 53, 23, 225, 2689, 3075, 12435, 8337, 37065, 58631, 247415, 0};
static int joe_kuo_d6_initial_number17577[] = {1, 3, 3, 9, 23, 39, 5, 17, 353, 443, 627, 1609, 5277, 3899, 31111, 5935, 25445, 161043, 0};
static int joe_kuo_d6_initial_number17578[] = {1, 3, 3, 11, 31, 11, 97, 99, 37, 169, 1361, 689, 5481, 5935, 11957, 36761, 105641, 250905, 0};
static int joe_kuo_d6_initial_number17579[] = {1, 1, 7, 15, 31, 33, 3, 201, 125, 649, 315, 497, 7715, 2331, 9081, 16073, 88459, 70475, 0};
static int joe_kuo_d6_initial_number17580[] = {1, 1, 7, 13, 25, 25, 39, 193, 185, 253, 495, 1143, 3745, 3459, 10935, 22029, 70213, 245827, 0};
static int joe_kuo_d6_initial_number17581[] = {1, 3, 3, 11, 1, 47, 93, 27, 117, 755, 1837, 4045, 4839, 3413, 21395, 41905, 6505, 158029, 0};
static int joe_kuo_d6_initial_number17582[] = {1, 3, 5, 5, 3, 41, 23, 207, 3, 409, 1635, 3511, 899, 747, 10623, 44933, 62439, 75577, 0};
static int joe_kuo_d6_initial_number17583[] = {1, 3, 7, 15, 1, 15, 113, 175, 43, 513, 515, 1295, 1903, 9961, 20995, 57319, 40649, 22799, 0};
static int joe_kuo_d6_initial_number17584[] = {1, 1, 5, 9, 7, 25, 99, 167, 117, 547, 777, 3819, 4409, 13465, 3963, 53355, 67895, 58007, 0};
static int joe_kuo_d6_initial_number17585[] = {1, 1, 5, 9, 25, 9, 11, 113, 455, 563, 143, 1507, 4055, 6805, 25027, 37645, 475, 193193, 0};
static int joe_kuo_d6_initial_number17586[] = {1, 1, 1, 11, 15, 27, 123, 199, 229, 27, 1285, 4013, 6541, 11203, 23705, 56821, 59665, 151109, 0};
static int joe_kuo_d6_initial_number17587[] = {1, 1, 3, 1, 31, 19, 27, 129, 235, 407, 865, 2723, 5387, 7727, 2309, 45787, 118107, 199907, 0};
static int joe_kuo_d6_initial_number17588[] = {1, 1, 5, 15, 17, 1, 21, 167, 165, 203, 745, 825, 7993, 15191, 13731, 13417, 543, 201511, 0};
static int joe_kuo_d6_initial_number17589[] = {1, 3, 1, 1, 29, 49, 45, 81, 321, 755, 1319, 633, 4889, 7809, 6305, 58233, 20213, 144915, 0};
static int joe_kuo_d6_initial_number17590[] = {1, 1, 3, 13, 1, 31, 73, 173, 111, 961, 1995, 3827, 879, 5567, 31103, 13227, 126611, 204507, 0};
static int joe_kuo_d6_initial_number17591[] = {1, 1, 3, 7, 21, 3, 75, 137, 125, 981, 1991, 1167, 1249, 3821, 19503, 52855, 122329, 68717, 0};
static int joe_kuo_d6_initial_number17592[] = {1, 1, 1, 13, 17, 17, 69, 167, 327, 635, 427, 2125, 7499, 9715, 24097, 39361, 64301, 63411, 0};
static int joe_kuo_d6_initial_number17593[] = {1, 1, 1, 1, 31, 57, 55, 31, 289, 251, 823, 2301, 5965, 3381, 479, 39545, 93051, 68683, 0};
static int joe_kuo_d6_initial_number17594[] = {1, 1, 3, 3, 15, 27, 117, 37, 29, 851, 1891, 3507, 6279, 323, 11451, 57961, 41487, 188359, 0};
static int joe_kuo_d6_initial_number17595[] = {1, 1, 5, 1, 25, 55, 125, 207, 129, 849, 589, 1381, 3395, 645, 1157, 29285, 105423, 104429, 0};
static int joe_kuo_d6_initial_number17596[] = {1, 1, 7, 7, 9, 47, 41, 103, 473, 395, 883, 1087, 2827, 9685, 6313, 15461, 39803, 254865, 0};
static int joe_kuo_d6_initial_number17597[] = {1, 1, 7, 3, 17, 55, 71, 119, 159, 185, 1415, 3033, 3045, 1403, 18349, 2727, 123995, 45953, 0};
static int joe_kuo_d6_initial_number17598[] = {1, 1, 3, 15, 17, 11, 19, 25, 483, 29, 1329, 1779, 2885, 6655, 28327, 42255, 87555, 211051, 0};
static int joe_kuo_d6_initial_number17599[] = {1, 3, 5, 11, 29, 19, 43, 141, 157, 87, 1091, 3505, 3139, 11919, 12123, 31581, 116229, 167875, 0};
static int joe_kuo_d6_initial_number17600[] = {1, 3, 1, 5, 25, 55, 113, 219, 491, 607, 1641, 3833, 3153, 1881, 16027, 39923, 38551, 204819, 0};
static int joe_kuo_d6_initial_number17601[] = {1, 1, 5, 3, 7, 9, 73, 181, 305, 211, 1699, 983, 3051, 11643, 12445, 44827, 74613, 199699, 0};
static int joe_kuo_d6_initial_number17602[] = {1, 1, 3, 5, 23, 21, 115, 49, 311, 205, 963, 1357, 4013, 8357, 7065, 47757, 7937, 249935, 0};
static int joe_kuo_d6_initial_number17603[] = {1, 1, 1, 9, 23, 61, 21, 165, 9, 829, 457, 3975, 5831, 10901, 15871, 36769, 45899, 162083, 0};
static int joe_kuo_d6_initial_number17604[] = {1, 1, 3, 3, 25, 41, 91, 45, 37, 939, 299, 3815, 6433, 3121, 10585, 62125, 51333, 171615, 0};
static int joe_kuo_d6_initial_number17605[] = {1, 1, 5, 11, 1, 1, 39, 45, 141, 803, 1493, 1151, 6243, 8683, 30223, 53661, 7949, 197291, 0};
static int joe_kuo_d6_initial_number17606[] = {1, 1, 3, 1, 17, 35, 29, 253, 395, 933, 1015, 3431, 139, 9095, 30745, 39747, 58837, 28517, 0};
static int joe_kuo_d6_initial_number17607[] = {1, 1, 5, 3, 21, 17, 105, 21, 249, 387, 1985, 951, 6323, 8221, 24601, 57367, 18751, 240661, 0};
static int joe_kuo_d6_initial_number17608[] = {1, 1, 7, 9, 5, 21, 23, 149, 243, 501, 935, 855, 1821, 15885, 2239, 39091, 93615, 31411, 0};
static int joe_kuo_d6_initial_number17609[] = {1, 1, 1, 3, 23, 11, 43, 5, 65, 193, 1723, 3253, 7533, 12987, 571, 56073, 125061, 97117, 0};
static int joe_kuo_d6_initial_number17610[] = {1, 1, 1, 13, 13, 21, 113, 79, 115, 867, 777, 2199, 501, 2913, 18697, 14959, 18369, 41631, 0};
static int joe_kuo_d6_initial_number17611[] = {1, 1, 7, 13, 13, 53, 101, 165, 447, 995, 587, 201, 1701, 6429, 8647, 59265, 27321, 110841, 0};
static int joe_kuo_d6_initial_number17612[] = {1, 3, 1, 3, 25, 35, 67, 95, 173, 877, 1133, 3027, 2321, 12517, 4313, 24469, 40313, 253095, 0};
static int joe_kuo_d6_initial_number17613[] = {1, 1, 1, 9, 17, 33, 103, 141, 259, 963, 1975, 2979, 5017, 15689, 30659, 55145, 73737, 43539, 0};
static int joe_kuo_d6_initial_number17614[] = {1, 3, 1, 15, 7, 7, 7, 1, 267, 415, 1591, 17, 2451, 13415, 6993, 16631, 90019, 237161, 0};
static int joe_kuo_d6_initial_number17615[] = {1, 1, 7, 11, 11, 37, 107, 143, 263, 49, 1391, 3269, 6139, 1413, 26557, 16369, 86789, 89151, 0};
static int joe_kuo_d6_initial_number17616[] = {1, 1, 7, 13, 27, 41, 3, 169, 453, 547, 157, 3219, 4711, 9805, 10657, 8121, 40229, 247825, 0};
static int joe_kuo_d6_initial_number17617[] = {1, 3, 3, 3, 25, 25, 109, 253, 67, 901, 259, 1159, 6161, 6763, 19669, 42775, 74089, 69821, 0};
static int joe_kuo_d6_initial_number17618[] = {1, 3, 7, 15, 11, 25, 91, 137, 247, 851, 511, 1847, 1179, 411, 9545, 31275, 46201, 169677, 0};
static int joe_kuo_d6_initial_number17619[] = {1, 1, 5, 3, 3, 61, 19, 167, 491, 765, 1997, 3267, 883, 15439, 27581, 24865, 128245, 130055, 0};
static int joe_kuo_d6_initial_number17620[] = {1, 1, 3, 9, 17, 61, 7, 109, 325, 347, 1109, 889, 2995, 4763, 21551, 60137, 91833, 126989, 0};
static int joe_kuo_d6_initial_number17621[] = {1, 3, 3, 7, 5, 17, 61, 107, 209, 577, 885, 2611, 1471, 7549, 16199, 12319, 48865, 242229, 0};
static int joe_kuo_d6_initial_number17622[] = {1, 3, 5, 1, 5, 49, 85, 177, 213, 583, 857, 179, 1805, 4297, 5835, 61923, 22741, 261983, 0};
static int joe_kuo_d6_initial_number17623[] = {1, 3, 1, 13, 1, 1, 83, 227, 457, 375, 567, 1563, 2085, 8153, 12563, 44561, 115487, 188351, 0};
static int joe_kuo_d6_initial_number17624[] = {1, 3, 1, 9, 15, 39, 127, 135, 181, 967, 1495, 3187, 7463, 9651, 26261, 57435, 42069, 48549, 0};
static int joe_kuo_d6_initial_number17625[] = {1, 3, 1, 7, 5, 31, 111, 19, 19, 855, 273, 2089, 6001, 2799, 26013, 6625, 75623, 150185, 0};
static int joe_kuo_d6_initial_number17626[] = {1, 1, 7, 1, 31, 19, 15, 159, 35, 791, 1005, 3947, 7031, 41, 28807, 45299, 37761, 101191, 0};
static int joe_kuo_d6_initial_number17627[] = {1, 3, 5, 3, 15, 7, 7, 67, 329, 367, 843, 2309, 3023, 5369, 21561, 18881, 14395, 193369, 0};
static int joe_kuo_d6_initial_number17628[] = {1, 3, 3, 11, 21, 53, 3, 251, 87, 131, 563, 847, 8049, 1639, 30103, 30461, 108427, 125197, 0};
static int joe_kuo_d6_initial_number17629[] = {1, 1, 1, 5, 21, 45, 79, 229, 29, 133, 1873, 261, 4221, 3091, 25569, 11219, 70693, 227025, 0};
static int joe_kuo_d6_initial_number17630[] = {1, 3, 1, 5, 17, 9, 75, 101, 155, 311, 789, 821, 7361, 3791, 18511, 57607, 97647, 42107, 0};
static int joe_kuo_d6_initial_number17631[] = {1, 3, 1, 11, 21, 39, 33, 179, 7, 775, 55, 3779, 6163, 3575, 27535, 32363, 9169, 57133, 0};
static int joe_kuo_d6_initial_number17632[] = {1, 3, 7, 3, 19, 33, 19, 11, 173, 175, 219, 3585, 1115, 15693, 23481, 45669, 94149, 19531, 0};
static int joe_kuo_d6_initial_number17633[] = {1, 1, 5, 11, 11, 49, 29, 217, 229, 757, 1031, 3833, 4235, 13535, 8765, 20707, 52851, 9037, 0};
static int joe_kuo_d6_initial_number17634[] = {1, 3, 1, 13, 25, 61, 65, 111, 95, 533, 1235, 2947, 3239, 9513, 11395, 9321, 117535, 228289, 0};
static int joe_kuo_d6_initial_number17635[] = {1, 1, 1, 3, 19, 33, 13, 233, 331, 811, 1931, 1109, 7705, 3129, 19757, 44325, 97903, 165311, 0};
static int joe_kuo_d6_initial_number17636[] = {1, 1, 3, 15, 13, 55, 57, 81, 257, 613, 1305, 653, 6059, 4935, 15707, 4717, 1859, 109265, 0};
static int joe_kuo_d6_initial_number17637[] = {1, 1, 7, 15, 15, 19, 19, 91, 213, 311, 1651, 2215, 6985, 2989, 11961, 28647, 111163, 217187, 0};
static int joe_kuo_d6_initial_number17638[] = {1, 3, 3, 5, 15, 31, 45, 193, 119, 11, 511, 3155, 5989, 813, 32655, 41531, 121007, 24733, 0};
static int joe_kuo_d6_initial_number17639[] = {1, 3, 7, 1, 19, 63, 61, 11, 225, 677, 1323, 1655, 7607, 15691, 27083, 56743, 116167, 250413, 0};
static int joe_kuo_d6_initial_number17640[] = {1, 1, 1, 15, 7, 25, 27, 213, 171, 1011, 1483, 119, 6849, 12527, 20601, 35701, 68377, 245669, 0};
static int joe_kuo_d6_initial_number17641[] = {1, 3, 7, 5, 27, 5, 7, 117, 127, 871, 631, 3395, 1501, 4839, 1857, 45769, 107597, 90385, 0};
static int joe_kuo_d6_initial_number17642[] = {1, 1, 3, 13, 1, 15, 49, 69, 479, 919, 881, 3069, 5609, 12795, 30225, 14411, 122847, 75569, 0};
static int joe_kuo_d6_initial_number17643[] = {1, 1, 5, 9, 1, 15, 91, 207, 235, 667, 321, 2047, 841, 16049, 12499, 8799, 8245, 42199, 0};
static int joe_kuo_d6_initial_number17644[] = {1, 3, 7, 15, 11, 19, 99, 163, 331, 953, 791, 3443, 3215, 8025, 1999, 43685, 72595, 153185, 0};
static int joe_kuo_d6_initial_number17645[] = {1, 3, 1, 13, 25, 23, 17, 133, 59, 233, 151, 1971, 3611, 3951, 16979, 991, 73325, 158475, 0};
static int joe_kuo_d6_initial_number17646[] = {1, 3, 5, 11, 1, 53, 123, 81, 285, 457, 1183, 489, 939, 3069, 15845, 24799, 81301, 105187, 0};
static int joe_kuo_d6_initial_number17647[] = {1, 3, 5, 1, 11, 5, 61, 151, 5, 813, 1347, 1107, 4915, 4035, 18709, 20909, 60569, 55007, 0};
static int joe_kuo_d6_initial_number17648[] = {1, 3, 3, 7, 27, 41, 79, 193, 471, 415, 937, 2561, 1669, 9213, 21145, 44917, 64763, 33195, 0};
static int joe_kuo_d6_initial_number17649[] = {1, 3, 7, 13, 31, 5, 71, 237, 419, 957, 1741, 2829, 5879, 8143, 8717, 48995, 114465, 110295, 0};
static int joe_kuo_d6_initial_number17650[] = {1, 1, 7, 3, 7, 23, 83, 161, 381, 313, 383, 2813, 333, 4647, 18321, 10437, 111645, 55509, 0};
static int joe_kuo_d6_initial_number17651[] = {1, 1, 5, 9, 23, 1, 83, 121, 245, 37, 1097, 1437, 3891, 2727, 30775, 27649, 95571, 216245, 0};
static int joe_kuo_d6_initial_number17652[] = {1, 1, 5, 7, 1, 43, 59, 253, 329, 421, 791, 3945, 2599, 2243, 11121, 37761, 27223, 176867, 0};
static int joe_kuo_d6_initial_number17653[] = {1, 3, 5, 5, 25, 59, 85, 155, 367, 291, 1025, 1415, 7871, 14191, 23249, 32233, 93253, 177869, 0};
static int joe_kuo_d6_initial_number17654[] = {1, 1, 1, 9, 21, 41, 111, 241, 177, 999, 779, 2827, 1683, 6405, 16133, 26523, 102567, 190313, 0};
static int joe_kuo_d6_initial_number17655[] = {1, 3, 3, 15, 13, 59, 69, 239, 231, 511, 1675, 147, 4041, 3723, 29191, 24913, 15601, 198141, 0};
static int joe_kuo_d6_initial_number17656[] = {1, 3, 3, 9, 17, 29, 1, 107, 243, 509, 1949, 205, 1693, 6339, 31591, 61527, 128043, 222497, 0};
static int joe_kuo_d6_initial_number17657[] = {1, 3, 7, 3, 21, 7, 87, 57, 9, 209, 1831, 2189, 5523, 8509, 23687, 46221, 87469, 146815, 0};
static int joe_kuo_d6_initial_number17658[] = {1, 3, 7, 9, 5, 45, 51, 207, 401, 681, 469, 1951, 793, 16379, 32143, 55457, 91787, 178569, 0};
static int joe_kuo_d6_initial_number17659[] = {1, 3, 3, 9, 19, 15, 121, 143, 243, 795, 1839, 2411, 7175, 11535, 31995, 4157, 20111, 92653, 0};
static int joe_kuo_d6_initial_number17660[] = {1, 3, 1, 1, 1, 5, 47, 107, 455, 429, 1411, 2375, 2823, 14657, 16297, 21893, 115257, 50343, 0};
static int joe_kuo_d6_initial_number17661[] = {1, 3, 5, 9, 19, 63, 55, 197, 281, 797, 1539, 2601, 4497, 1631, 26583, 23819, 104553, 27285, 0};
static int joe_kuo_d6_initial_number17662[] = {1, 1, 3, 9, 23, 41, 123, 37, 327, 789, 1711, 1299, 6735, 7243, 30635, 21251, 56081, 65623, 0};
static int joe_kuo_d6_initial_number17663[] = {1, 3, 7, 15, 25, 49, 89, 231, 133, 1003, 351, 765, 7115, 16239, 1141, 44063, 31519, 233719, 0};
static int joe_kuo_d6_initial_number17664[] = {1, 3, 7, 3, 13, 37, 93, 83, 59, 539, 1185, 525, 705, 993, 1113, 1871, 60817, 254075, 0};
static int joe_kuo_d6_initial_number17665[] = {1, 3, 7, 11, 25, 33, 23, 21, 141, 451, 25, 1321, 5139, 8947, 10305, 30175, 43123, 113049, 0};
static int joe_kuo_d6_initial_number17666[] = {1, 3, 5, 5, 17, 1, 125, 211, 143, 637, 1175, 1149, 6775, 11091, 12503, 5537, 35379, 30045, 0};
static int joe_kuo_d6_initial_number17667[] = {1, 1, 1, 15, 17, 31, 123, 33, 279, 831, 1247, 2305, 1033, 3201, 231, 23173, 34453, 66617, 0};
static int joe_kuo_d6_initial_number17668[] = {1, 3, 3, 1, 3, 1, 23, 115, 421, 553, 273, 4091, 5965, 7521, 18393, 31229, 78533, 243921, 0};
static int joe_kuo_d6_initial_number17669[] = {1, 1, 7, 15, 15, 29, 73, 165, 391, 215, 1801, 45, 7451, 6969, 27897, 36599, 103647, 145165, 0};
static int joe_kuo_d6_initial_number17670[] = {1, 3, 3, 13, 5, 7, 67, 81, 477, 301, 1397, 921, 3777, 12431, 14753, 50555, 24497, 52995, 0};
static int joe_kuo_d6_initial_number17671[] = {1, 1, 5, 5, 27, 21, 91, 155, 405, 347, 1135, 3701, 2471, 577, 3927, 52605, 1725, 25803, 0};
static int joe_kuo_d6_initial_number17672[] = {1, 3, 1, 3, 15, 57, 117, 175, 437, 13, 1821, 649, 899, 1295, 2753, 2183, 47923, 163407, 0};
static int joe_kuo_d6_initial_number17673[] = {1, 3, 5, 9, 23, 15, 103, 179, 233, 787, 715, 3751, 3321, 2069, 8299, 43417, 96549, 180737, 0};
static int joe_kuo_d6_initial_number17674[] = {1, 3, 7, 9, 1, 41, 81, 205, 141, 707, 397, 763, 4797, 8843, 3311, 37425, 43873, 131491, 0};
static int joe_kuo_d6_initial_number17675[] = {1, 1, 5, 3, 9, 29, 123, 163, 15, 871, 159, 2615, 6987, 471, 25653, 11295, 94481, 195409, 0};
static int joe_kuo_d6_initial_number17676[] = {1, 3, 7, 3, 13, 7, 9, 59, 59, 381, 2027, 2639, 59, 7977, 14505, 34327, 99113, 157439, 0};
static int joe_kuo_d6_initial_number17677[] = {1, 1, 5, 9, 27, 13, 87, 85, 443, 531, 1069, 3479, 6547, 13943, 13711, 11007, 37395, 190293, 0};
static int joe_kuo_d6_initial_number17678[] = {1, 3, 7, 9, 19, 47, 95, 229, 395, 979, 359, 1799, 7389, 14377, 19371, 56785, 6699, 215433, 0};
static int joe_kuo_d6_initial_number17679[] = {1, 1, 1, 5, 21, 15, 59, 17, 281, 585, 293, 3029, 2539, 16089, 19, 34757, 115811, 235565, 0};
static int joe_kuo_d6_initial_number17680[] = {1, 1, 7, 11, 27, 19, 55, 217, 475, 119, 1291, 1761, 6879, 4355, 30019, 17573, 14987, 204623, 0};
static int joe_kuo_d6_initial_number17681[] = {1, 1, 7, 11, 29, 47, 5, 201, 165, 845, 385, 2903, 7735, 10855, 14171, 17881, 45001, 100725, 0};
static int joe_kuo_d6_initial_number17682[] = {1, 1, 5, 5, 31, 57, 99, 35, 315, 363, 1135, 897, 1041, 729, 26987, 15299, 29563, 67293, 0};
static int joe_kuo_d6_initial_number17683[] = {1, 1, 5, 7, 27, 13, 99, 81, 491, 887, 1309, 3343, 7241, 1289, 12021, 52533, 101799, 238721, 0};
static int joe_kuo_d6_initial_number17684[] = {1, 1, 1, 11, 27, 49, 79, 235, 49, 215, 2003, 2771, 5943, 1183, 31931, 33885, 56971, 52665, 0};
static int joe_kuo_d6_initial_number17685[] = {1, 1, 1, 13, 13, 1, 123, 1, 191, 747, 859, 2287, 5113, 3715, 2217, 61483, 195, 237163, 0};
static int joe_kuo_d6_initial_number17686[] = {1, 3, 7, 15, 13, 13, 17, 207, 141, 821, 231, 1373, 5355, 6503, 2403, 18183, 83717, 170047, 0};
static int joe_kuo_d6_initial_number17687[] = {1, 3, 1, 3, 13, 11, 41, 51, 443, 201, 1349, 2331, 1009, 16169, 5247, 50315, 15589, 150497, 0};
static int joe_kuo_d6_initial_number17688[] = {1, 3, 5, 13, 29, 21, 93, 55, 27, 17, 1615, 3473, 3641, 10999, 31955, 4699, 23585, 141243, 0};
static int joe_kuo_d6_initial_number17689[] = {1, 3, 3, 11, 11, 27, 125, 139, 53, 637, 241, 2651, 4999, 5923, 16203, 13645, 95965, 94459, 0};
static int joe_kuo_d6_initial_number17690[] = {1, 3, 7, 3, 9, 53, 87, 171, 489, 691, 303, 3599, 6093, 841, 3527, 12953, 22907, 69823, 0};
static int joe_kuo_d6_initial_number17691[] = {1, 1, 5, 13, 31, 11, 33, 207, 437, 683, 703, 1757, 1443, 14269, 12677, 20877, 46791, 176135, 0};
static int joe_kuo_d6_initial_number17692[] = {1, 1, 7, 1, 13, 53, 123, 199, 173, 585, 1099, 3653, 2253, 13741, 15675, 38755, 74545, 139053, 0};
static int joe_kuo_d6_initial_number17693[] = {1, 3, 3, 3, 17, 11, 1, 161, 383, 409, 605, 889, 827, 263, 9677, 42857, 127691, 99621, 0};
static int joe_kuo_d6_initial_number17694[] = {1, 3, 5, 9, 21, 21, 11, 151, 199, 695, 493, 569, 881, 10533, 11255, 61997, 124921, 211139, 0};
static int joe_kuo_d6_initial_number17695[] = {1, 3, 5, 5, 9, 47, 109, 7, 195, 287, 97, 3691, 6929, 6985, 3063, 16185, 6313, 228147, 0};
static int joe_kuo_d6_initial_number17696[] = {1, 3, 1, 3, 3, 9, 107, 243, 391, 893, 1207, 2229, 5295, 723, 14753, 10921, 104147, 214941, 0};
static int joe_kuo_d6_initial_number17697[] = {1, 3, 1, 9, 5, 63, 63, 247, 413, 805, 285, 4001, 6735, 3531, 25949, 44845, 66959, 194429, 0};
static int joe_kuo_d6_initial_number17698[] = {1, 1, 3, 1, 15, 15, 43, 69, 419, 739, 1739, 1091, 1043, 3217, 1139, 44749, 74131, 165145, 0};
static int joe_kuo_d6_initial_number17699[] = {1, 1, 3, 9, 17, 53, 119, 25, 427, 791, 1873, 481, 6793, 4767, 30449, 18079, 52105, 260371, 0};
static int joe_kuo_d6_initial_number17700[] = {1, 1, 3, 15, 15, 41, 15, 53, 395, 571, 1727, 3081, 4531, 4215, 22359, 18165, 91843, 157273, 0};
static int joe_kuo_d6_initial_number17701[] = {1, 3, 3, 9, 19, 15, 55, 185, 321, 285, 695, 1067, 2551, 1401, 20023, 22671, 21365, 89053, 0};
static int joe_kuo_d6_initial_number17702[] = {1, 1, 7, 15, 23, 57, 71, 141, 57, 479, 543, 3783, 3635, 14011, 23603, 40877, 21837, 81079, 0};
static int joe_kuo_d6_initial_number17703[] = {1, 3, 7, 11, 31, 5, 83, 177, 105, 981, 331, 2901, 1781, 8407, 30199, 19287, 116219, 78471, 0};
static int joe_kuo_d6_initial_number17704[] = {1, 1, 1, 9, 7, 13, 61, 21, 299, 15, 1045, 475, 7141, 4827, 5921, 17323, 42909, 203623, 0};
static int joe_kuo_d6_initial_number17705[] = {1, 3, 7, 1, 17, 59, 99, 221, 77, 37, 1263, 2137, 1567, 12473, 20029, 9231, 32739, 17021, 0};
static int joe_kuo_d6_initial_number17706[] = {1, 1, 1, 5, 23, 61, 39, 13, 97, 191, 1479, 19, 1913, 3185, 32393, 59067, 5483, 158895, 0};
static int joe_kuo_d6_initial_number17707[] = {1, 1, 1, 7, 5, 51, 81, 223, 435, 939, 781, 1153, 6409, 6369, 30559, 19007, 50121, 26525, 0};
static int joe_kuo_d6_initial_number17708[] = {1, 3, 3, 5, 29, 1, 57, 127, 153, 897, 161, 683, 295, 11207, 245, 1819, 3061, 242609, 0};
static int joe_kuo_d6_initial_number17709[] = {1, 1, 1, 7, 5, 19, 105, 57, 263, 433, 1339, 1479, 6671, 9917, 26299, 4573, 68725, 195, 0};
static int joe_kuo_d6_initial_number17710[] = {1, 3, 5, 15, 1, 19, 45, 95, 155, 117, 367, 2051, 1053, 8847, 6399, 23641, 95355, 98415, 0};
static int joe_kuo_d6_initial_number17711[] = {1, 3, 3, 15, 3, 1, 5, 115, 349, 747, 1865, 1669, 659, 7097, 7871, 3685, 11013, 59837, 0};
static int joe_kuo_d6_initial_number17712[] = {1, 3, 3, 5, 9, 47, 51, 131, 327, 903, 975, 2481, 3509, 12481, 4049, 38053, 4629, 254415, 0};
static int joe_kuo_d6_initial_number17713[] = {1, 3, 5, 9, 31, 47, 1, 29, 37, 683, 1363, 2527, 4019, 4965, 14077, 14191, 101, 1945, 0};
static int joe_kuo_d6_initial_number17714[] = {1, 1, 7, 1, 9, 35, 41, 187, 509, 33, 385, 3907, 1461, 6827, 6931, 44723, 109495, 184641, 0};
static int joe_kuo_d6_initial_number17715[] = {1, 3, 5, 9, 5, 49, 21, 171, 353, 927, 409, 913, 5199, 11747, 8777, 19891, 63189, 118839, 0};
static int joe_kuo_d6_initial_number17716[] = {1, 3, 3, 1, 27, 49, 43, 157, 75, 469, 787, 3957, 4147, 13919, 17489, 57103, 62091, 135589, 0};
static int joe_kuo_d6_initial_number17717[] = {1, 1, 3, 11, 7, 45, 29, 177, 185, 185, 1537, 127, 121, 817, 31269, 1677, 20245, 3835, 0};
static int joe_kuo_d6_initial_number17718[] = {1, 1, 5, 3, 21, 9, 67, 79, 391, 971, 1711, 2607, 5705, 12863, 12415, 41255, 26447, 1643, 0};
static int joe_kuo_d6_initial_number17719[] = {1, 1, 5, 5, 9, 63, 67, 245, 31, 225, 309, 1753, 1507, 817, 4275, 51843, 22331, 196875, 0};
static int joe_kuo_d6_initial_number17720[] = {1, 3, 1, 13, 15, 39, 3, 245, 147, 485, 241, 2507, 1859, 7299, 15037, 41139, 82757, 224031, 0};
static int joe_kuo_d6_initial_number17721[] = {1, 3, 3, 15, 7, 51, 9, 103, 37, 643, 25, 2067, 7619, 11991, 12885, 46809, 109107, 22393, 0};
static int joe_kuo_d6_initial_number17722[] = {1, 1, 1, 9, 1, 55, 119, 85, 115, 827, 187, 2241, 2553, 577, 12115, 2391, 69705, 232101, 0};
static int joe_kuo_d6_initial_number17723[] = {1, 1, 5, 7, 13, 61, 125, 129, 475, 703, 1723, 3233, 5713, 1941, 21375, 42119, 75199, 73163, 0};
static int joe_kuo_d6_initial_number17724[] = {1, 1, 5, 5, 5, 21, 73, 155, 493, 81, 1627, 827, 5925, 7391, 1587, 39425, 11807, 64385, 0};
static int joe_kuo_d6_initial_number17725[] = {1, 3, 1, 15, 27, 35, 111, 183, 283, 335, 1387, 669, 6041, 11637, 26255, 21113, 121183, 219703, 0};
static int joe_kuo_d6_initial_number17726[] = {1, 3, 5, 15, 15, 23, 119, 91, 197, 809, 975, 3275, 6171, 11769, 8385, 5461, 4561, 29159, 0};
static int joe_kuo_d6_initial_number17727[] = {1, 1, 5, 9, 29, 9, 107, 233, 417, 1005, 799, 1437, 2679, 15643, 32341, 54055, 27861, 115483, 0};
static int joe_kuo_d6_initial_number17728[] = {1, 1, 5, 7, 27, 19, 95, 153, 175, 407, 215, 303, 8165, 14791, 2099, 61797, 129411, 10461, 0};
static int joe_kuo_d6_initial_number17729[] = {1, 1, 1, 13, 25, 51, 11, 77, 97, 495, 971, 449, 2833, 7121, 24105, 34527, 123135, 129305, 0};
static int joe_kuo_d6_initial_number17730[] = {1, 1, 7, 11, 23, 9, 111, 101, 169, 233, 267, 953, 6379, 15887, 22921, 33665, 95195, 159707, 0};
static int joe_kuo_d6_initial_number17731[] = {1, 1, 5, 15, 21, 3, 21, 57, 173, 513, 2027, 1235, 5031, 5375, 2717, 23361, 71817, 232101, 0};
static int joe_kuo_d6_initial_number17732[] = {1, 3, 3, 11, 7, 25, 43, 65, 19, 135, 1611, 85, 7673, 6459, 27813, 55557, 100989, 25205, 0};
static int joe_kuo_d6_initial_number17733[] = {1, 3, 7, 1, 15, 37, 55, 141, 239, 205, 647, 3715, 1617, 13507, 9847, 64681, 108711, 231329, 0};
static int joe_kuo_d6_initial_number17734[] = {1, 3, 5, 9, 21, 27, 79, 153, 335, 299, 493, 887, 1457, 16011, 13795, 50205, 43319, 130963, 0};
static int joe_kuo_d6_initial_number17735[] = {1, 1, 3, 1, 23, 59, 121, 83, 463, 151, 323, 2977, 4769, 6011, 20135, 59541, 23179, 203487, 0};
static int joe_kuo_d6_initial_number17736[] = {1, 1, 5, 7, 9, 17, 63, 149, 59, 281, 763, 619, 2551, 8179, 2963, 61283, 107727, 119817, 0};
static int joe_kuo_d6_initial_number17737[] = {1, 3, 7, 3, 15, 39, 11, 145, 141, 965, 505, 2625, 4335, 7619, 11007, 43321, 33199, 212661, 0};
static int joe_kuo_d6_initial_number17738[] = {1, 3, 5, 9, 9, 61, 27, 223, 5, 941, 513, 1437, 481, 9651, 6567, 57945, 52547, 21283, 0};
static int joe_kuo_d6_initial_number17739[] = {1, 3, 1, 1, 25, 1, 87, 25, 121, 757, 529, 3857, 1321, 13479, 5357, 49341, 5797, 235895, 0};
static int joe_kuo_d6_initial_number17740[] = {1, 3, 5, 1, 21, 35, 37, 215, 509, 165, 1423, 3067, 4779, 4693, 12523, 48099, 69283, 255111, 0};
static int joe_kuo_d6_initial_number17741[] = {1, 1, 3, 1, 31, 15, 45, 127, 339, 331, 1249, 1075, 6169, 2941, 30471, 46789, 118039, 224651, 0};
static int joe_kuo_d6_initial_number17742[] = {1, 1, 5, 13, 21, 37, 39, 61, 191, 17, 177, 3719, 2177, 11039, 20047, 14489, 20475, 171235, 0};
static int joe_kuo_d6_initial_number17743[] = {1, 1, 3, 9, 19, 11, 65, 111, 121, 901, 99, 1861, 3687, 765, 24861, 46315, 63433, 171679, 0};
static int joe_kuo_d6_initial_number17744[] = {1, 3, 1, 7, 1, 51, 87, 199, 241, 909, 353, 2471, 7163, 9547, 16351, 41129, 12217, 194099, 0};
static int joe_kuo_d6_initial_number17745[] = {1, 1, 7, 7, 17, 17, 127, 67, 51, 217, 1189, 19, 2099, 10281, 9071, 21185, 122821, 110211, 0};
static int joe_kuo_d6_initial_number17746[] = {1, 3, 3, 7, 15, 3, 53, 45, 77, 665, 701, 3175, 6151, 2639, 19819, 1063, 25079, 203343, 0};
static int joe_kuo_d6_initial_number17747[] = {1, 1, 5, 11, 11, 5, 103, 11, 481, 999, 713, 499, 5069, 921, 20619, 25623, 69601, 82941, 0};
static int joe_kuo_d6_initial_number17748[] = {1, 3, 5, 9, 15, 61, 67, 79, 371, 993, 475, 617, 1611, 12513, 14907, 55313, 39207, 112653, 0};
static int joe_kuo_d6_initial_number17749[] = {1, 1, 5, 15, 17, 45, 91, 187, 175, 465, 907, 3371, 3743, 15657, 30511, 58191, 105683, 216759, 0};
static int joe_kuo_d6_initial_number17750[] = {1, 1, 5, 9, 23, 1, 17, 79, 73, 717, 1785, 677, 7377, 4511, 21927, 34341, 47119, 193977, 0};
static int joe_kuo_d6_initial_number17751[] = {1, 3, 7, 13, 21, 1, 59, 179, 121, 641, 175, 563, 961, 10549, 15779, 49875, 8109, 1039, 0};
static int joe_kuo_d6_initial_number17752[] = {1, 1, 5, 7, 17, 9, 37, 171, 335, 135, 1403, 2541, 3845, 15311, 1905, 40853, 11013, 255669, 0};
static int joe_kuo_d6_initial_number17753[] = {1, 1, 7, 1, 5, 23, 113, 111, 337, 755, 2037, 3067, 2821, 10549, 28467, 22615, 71585, 61871, 0};
static int joe_kuo_d6_initial_number17754[] = {1, 1, 3, 9, 7, 3, 49, 229, 111, 871, 1711, 1793, 3089, 12571, 30883, 44773, 80827, 151709, 0};
static int joe_kuo_d6_initial_number17755[] = {1, 1, 5, 1, 13, 41, 3, 253, 399, 881, 1107, 4081, 1849, 115, 31557, 2515, 126751, 195663, 0};
static int joe_kuo_d6_initial_number17756[] = {1, 1, 3, 1, 13, 31, 113, 85, 57, 549, 1653, 2927, 5433, 11879, 22709, 41675, 13395, 46931, 0};
static int joe_kuo_d6_initial_number17757[] = {1, 1, 3, 9, 21, 1, 109, 65, 377, 63, 861, 1031, 2709, 7265, 9861, 64109, 34577, 9743, 0};
static int joe_kuo_d6_initial_number17758[] = {1, 1, 7, 7, 17, 31, 5, 177, 253, 387, 1271, 2805, 2211, 1813, 11649, 3217, 123793, 197753, 0};
static int joe_kuo_d6_initial_number17759[] = {1, 1, 3, 9, 15, 63, 89, 59, 455, 783, 1181, 7, 2309, 15961, 11231, 37389, 101221, 119331, 0};
static int joe_kuo_d6_initial_number17760[] = {1, 3, 3, 13, 7, 3, 15, 251, 431, 951, 639, 1585, 1247, 15927, 9695, 37469, 34945, 219723, 0};
static int joe_kuo_d6_initial_number17761[] = {1, 1, 5, 3, 21, 29, 83, 151, 383, 227, 215, 2329, 1297, 13709, 15653, 3119, 111319, 222877, 0};
static int joe_kuo_d6_initial_number17762[] = {1, 3, 1, 13, 1, 43, 127, 125, 243, 955, 583, 3497, 6605, 3821, 4657, 10599, 90927, 82725, 0};
static int joe_kuo_d6_initial_number17763[] = {1, 1, 1, 1, 15, 51, 61, 167, 489, 603, 873, 907, 575, 6957, 24409, 63587, 50205, 159291, 0};
static int joe_kuo_d6_initial_number17764[] = {1, 3, 3, 1, 19, 23, 7, 23, 239, 961, 1001, 1541, 2211, 4637, 19931, 39153, 102769, 242005, 0};
static int joe_kuo_d6_initial_number17765[] = {1, 1, 1, 15, 19, 31, 73, 121, 119, 199, 979, 4061, 3903, 12055, 27957, 15999, 5709, 210329, 0};
static int joe_kuo_d6_initial_number17766[] = {1, 1, 7, 13, 25, 35, 21, 25, 241, 937, 13, 947, 943, 3727, 15321, 46665, 99437, 233919, 0};
static int joe_kuo_d6_initial_number17767[] = {1, 1, 1, 9, 3, 51, 127, 113, 105, 335, 685, 2173, 4329, 7569, 5617, 32407, 21649, 30609, 0};
static int joe_kuo_d6_initial_number17768[] = {1, 3, 7, 9, 9, 13, 69, 191, 95, 727, 1649, 1201, 2093, 10053, 29381, 6207, 70755, 118505, 0};
static int joe_kuo_d6_initial_number17769[] = {1, 1, 1, 11, 21, 57, 77, 139, 271, 21, 1747, 2337, 7761, 7753, 6847, 5219, 87033, 229105, 0};
static int joe_kuo_d6_initial_number17770[] = {1, 3, 3, 1, 5, 51, 15, 235, 87, 567, 391, 3039, 2253, 11177, 11899, 25305, 14815, 51051, 0};
static int joe_kuo_d6_initial_number17771[] = {1, 3, 5, 7, 27, 51, 69, 93, 261, 947, 31, 2751, 6685, 3655, 24125, 22161, 108421, 230865, 0};
static int joe_kuo_d6_initial_number17772[] = {1, 1, 3, 3, 27, 17, 35, 97, 285, 855, 1767, 2545, 825, 11519, 11231, 50951, 32883, 78573, 0};
static int joe_kuo_d6_initial_number17773[] = {1, 3, 7, 13, 1, 57, 99, 193, 371, 839, 1319, 2295, 5897, 7893, 14339, 64217, 16951, 234953, 0};
static int joe_kuo_d6_initial_number17774[] = {1, 3, 1, 3, 11, 37, 13, 21, 299, 379, 63, 1209, 7879, 5001, 10181, 40173, 1753, 104821, 0};
static int joe_kuo_d6_initial_number17775[] = {1, 3, 5, 9, 23, 51, 75, 103, 249, 533, 621, 15, 1883, 2109, 20859, 4635, 120615, 135515, 0};
static int joe_kuo_d6_initial_number17776[] = {1, 1, 3, 3, 21, 45, 113, 57, 495, 457, 685, 3625, 243, 14831, 12351, 63001, 118191, 153875, 0};
static int joe_kuo_d6_initial_number17777[] = {1, 3, 5, 5, 21, 15, 65, 251, 183, 241, 1513, 2711, 4527, 12675, 26747, 5181, 4237, 246479, 0};
static int joe_kuo_d6_initial_number17778[] = {1, 1, 5, 3, 27, 29, 91, 93, 345, 893, 195, 3109, 2611, 12657, 10401, 15063, 95807, 244587, 0};
static int joe_kuo_d6_initial_number17779[] = {1, 3, 5, 13, 19, 49, 85, 155, 159, 939, 1139, 1569, 1129, 8641, 18391, 55201, 108491, 77863, 0};
static int joe_kuo_d6_initial_number17780[] = {1, 3, 5, 9, 25, 53, 75, 77, 85, 903, 1399, 2379, 2219, 14725, 21877, 24271, 40955, 61849, 0};
static int joe_kuo_d6_initial_number17781[] = {1, 1, 5, 9, 13, 49, 53, 177, 163, 331, 533, 1469, 1397, 8187, 12379, 10185, 125541, 260271, 0};
static int joe_kuo_d6_initial_number17782[] = {1, 1, 7, 9, 19, 31, 81, 89, 281, 397, 1917, 145, 2723, 15019, 18841, 13887, 11859, 171749, 0};
static int joe_kuo_d6_initial_number17783[] = {1, 3, 7, 13, 25, 17, 87, 189, 29, 283, 913, 3855, 5707, 15881, 12787, 42357, 84579, 78531, 0};
static int joe_kuo_d6_initial_number17784[] = {1, 1, 5, 15, 15, 31, 37, 249, 445, 119, 431, 4069, 5699, 10119, 31661, 9555, 6869, 1145, 0};
static int joe_kuo_d6_initial_number17785[] = {1, 3, 7, 1, 31, 29, 57, 177, 341, 411, 1019, 1889, 383, 1461, 26695, 61777, 18367, 137233, 0};
static int joe_kuo_d6_initial_number17786[] = {1, 3, 5, 1, 7, 53, 29, 53, 387, 675, 435, 461, 6247, 7519, 14003, 9037, 116599, 54471, 0};
static int joe_kuo_d6_initial_number17787[] = {1, 3, 3, 7, 17, 59, 91, 77, 169, 591, 95, 113, 6135, 10479, 17153, 52953, 16183, 90775, 0};
static int joe_kuo_d6_initial_number17788[] = {1, 3, 3, 15, 11, 11, 117, 141, 493, 163, 65, 1305, 7477, 7383, 22651, 64271, 80983, 154845, 0};
static int joe_kuo_d6_initial_number17789[] = {1, 1, 1, 3, 9, 15, 83, 11, 113, 77, 1115, 1417, 511, 6825, 21013, 37241, 104695, 31335, 0};
static int joe_kuo_d6_initial_number17790[] = {1, 1, 7, 3, 13, 33, 115, 121, 245, 673, 1991, 2157, 479, 9843, 5963, 4637, 8925, 27751, 0};
static int joe_kuo_d6_initial_number17791[] = {1, 3, 3, 7, 19, 11, 67, 125, 339, 27, 1545, 2319, 5977, 11603, 23219, 48273, 119265, 20151, 0};
static int joe_kuo_d6_initial_number17792[] = {1, 1, 5, 7, 27, 29, 31, 227, 279, 405, 1133, 689, 1133, 8957, 29629, 48849, 109995, 259749, 0};
static int joe_kuo_d6_initial_number17793[] = {1, 3, 5, 7, 7, 61, 95, 243, 91, 741, 1591, 3169, 2287, 11015, 15601, 43043, 65319, 50671, 0};
static int joe_kuo_d6_initial_number17794[] = {1, 1, 5, 5, 13, 47, 31, 95, 425, 715, 1603, 3485, 673, 12869, 32561, 42329, 112809, 181971, 0};
static int joe_kuo_d6_initial_number17795[] = {1, 3, 3, 3, 17, 51, 109, 45, 397, 457, 1379, 3845, 4215, 14185, 16597, 27711, 74283, 98151, 0};
static int joe_kuo_d6_initial_number17796[] = {1, 1, 1, 15, 7, 25, 13, 49, 441, 513, 1769, 707, 6037, 9689, 18915, 35647, 110823, 196633, 0};
static int joe_kuo_d6_initial_number17797[] = {1, 1, 1, 1, 23, 53, 93, 61, 277, 125, 55, 2453, 3331, 14037, 10809, 33205, 43785, 248743, 0};
static int joe_kuo_d6_initial_number17798[] = {1, 1, 3, 7, 23, 15, 93, 77, 333, 801, 1969, 31, 51, 5239, 24241, 5077, 113503, 132211, 0};
static int joe_kuo_d6_initial_number17799[] = {1, 3, 3, 1, 7, 55, 53, 5, 311, 657, 1507, 3413, 565, 15745, 6129, 40285, 91811, 90527, 0};
static int joe_kuo_d6_initial_number17800[] = {1, 3, 3, 13, 19, 23, 45, 25, 509, 313, 915, 2199, 5549, 8469, 32735, 37877, 11607, 37993, 0};
static int joe_kuo_d6_initial_number17801[] = {1, 1, 5, 11, 25, 33, 55, 31, 311, 851, 159, 2103, 2641, 8957, 9375, 37179, 33667, 100513, 0};
static int joe_kuo_d6_initial_number17802[] = {1, 3, 1, 1, 7, 7, 17, 75, 217, 171, 359, 1169, 4105, 929, 6427, 56349, 77985, 41941, 0};
static int joe_kuo_d6_initial_number17803[] = {1, 1, 1, 15, 5, 51, 73, 63, 259, 351, 1797, 1001, 5025, 11203, 30221, 54345, 11331, 158415, 0};
static int joe_kuo_d6_initial_number17804[] = {1, 3, 1, 5, 3, 21, 13, 3, 63, 779, 871, 2517, 6345, 4103, 16321, 30211, 120815, 83751, 0};
static int joe_kuo_d6_initial_number17805[] = {1, 1, 3, 13, 11, 7, 41, 255, 215, 37, 279, 2485, 6511, 12855, 22857, 55695, 122717, 238151, 0};
static int joe_kuo_d6_initial_number17806[] = {1, 3, 3, 3, 1, 55, 27, 193, 509, 677, 1861, 573, 5341, 5285, 6909, 51781, 91203, 139791, 0};
static int joe_kuo_d6_initial_number17807[] = {1, 3, 7, 11, 5, 63, 87, 215, 305, 235, 1049, 1339, 5301, 9639, 29861, 58415, 68303, 76907, 0};
static int joe_kuo_d6_initial_number17808[] = {1, 1, 5, 11, 13, 13, 67, 139, 19, 577, 165, 3067, 8023, 10905, 3159, 41289, 118231, 119673, 0};
static int joe_kuo_d6_initial_number17809[] = {1, 1, 3, 1, 15, 5, 69, 119, 363, 703, 461, 2293, 3801, 14217, 10709, 9553, 100651, 186115, 0};
static int joe_kuo_d6_initial_number17810[] = {1, 3, 7, 15, 19, 21, 59, 237, 227, 193, 827, 619, 3447, 13815, 3467, 38911, 41403, 99627, 0};
static int joe_kuo_d6_initial_number17811[] = {1, 1, 3, 3, 27, 23, 41, 199, 161, 555, 1629, 3187, 1355, 5947, 1157, 25877, 110989, 231285, 0};
static int joe_kuo_d6_initial_number17812[] = {1, 1, 3, 15, 3, 43, 103, 29, 179, 223, 375, 2877, 1917, 9367, 15337, 15381, 62833, 139003, 0};
static int joe_kuo_d6_initial_number17813[] = {1, 3, 3, 11, 23, 33, 107, 189, 511, 209, 1519, 2809, 6185, 5921, 20939, 63879, 113687, 79149, 0};
static int joe_kuo_d6_initial_number17814[] = {1, 3, 5, 15, 1, 63, 101, 227, 419, 803, 59, 2261, 6905, 10679, 5393, 54447, 58521, 59855, 0};
static int joe_kuo_d6_initial_number17815[] = {1, 1, 7, 13, 13, 21, 121, 123, 181, 371, 1485, 3191, 2627, 6197, 11169, 44927, 34739, 10687, 0};
static int joe_kuo_d6_initial_number17816[] = {1, 1, 3, 3, 25, 47, 13, 115, 187, 967, 1439, 1021, 4413, 3343, 31463, 3729, 13511, 162125, 0};
static int joe_kuo_d6_initial_number17817[] = {1, 3, 3, 15, 15, 59, 29, 129, 469, 171, 2045, 2859, 1097, 11199, 12147, 37465, 14179, 197923, 0};
static int joe_kuo_d6_initial_number17818[] = {1, 1, 7, 5, 13, 35, 41, 167, 207, 123, 1077, 3145, 2803, 15729, 767, 7321, 84375, 190855, 0};
static int joe_kuo_d6_initial_number17819[] = {1, 3, 5, 11, 3, 5, 65, 3, 111, 725, 143, 2945, 4755, 3407, 31801, 15329, 70311, 119197, 0};
static int joe_kuo_d6_initial_number17820[] = {1, 1, 5, 3, 17, 19, 61, 73, 261, 663, 821, 3389, 3883, 9961, 17727, 33113, 98371, 247097, 0};
static int joe_kuo_d6_initial_number17821[] = {1, 3, 1, 9, 29, 17, 43, 43, 481, 1015, 1249, 607, 3495, 13259, 29001, 23083, 51487, 81723, 0};
static int joe_kuo_d6_initial_number17822[] = {1, 3, 1, 3, 25, 57, 5, 33, 313, 21, 1731, 3417, 7033, 6609, 31631, 63231, 61107, 10941, 0};
static int joe_kuo_d6_initial_number17823[] = {1, 3, 3, 11, 29, 29, 117, 131, 417, 789, 1545, 1677, 3213, 13869, 5319, 41387, 13895, 252387, 0};
static int joe_kuo_d6_initial_number17824[] = {1, 3, 3, 13, 25, 47, 55, 213, 83, 345, 1453, 159, 1521, 14777, 24177, 7631, 81259, 135411, 0};
static int joe_kuo_d6_initial_number17825[] = {1, 1, 3, 15, 11, 63, 49, 69, 273, 843, 1661, 1157, 1285, 12751, 5, 54909, 114375, 6395, 0};
static int joe_kuo_d6_initial_number17826[] = {1, 3, 1, 11, 25, 1, 83, 55, 161, 125, 1547, 401, 7639, 4289, 7075, 9971, 33825, 135071, 0};
static int joe_kuo_d6_initial_number17827[] = {1, 3, 7, 9, 17, 5, 79, 131, 373, 1023, 573, 2219, 1789, 5789, 5347, 26455, 58661, 206417, 0};
static int joe_kuo_d6_initial_number17828[] = {1, 1, 7, 5, 1, 43, 83, 107, 125, 289, 793, 1731, 5167, 8943, 28397, 26877, 53781, 95899, 0};
static int joe_kuo_d6_initial_number17829[] = {1, 3, 3, 13, 21, 53, 123, 103, 385, 753, 1917, 2075, 4385, 5757, 9221, 35797, 86743, 69069, 0};
static int joe_kuo_d6_initial_number17830[] = {1, 3, 3, 3, 5, 19, 119, 221, 457, 907, 359, 3493, 2331, 5685, 11133, 29293, 27051, 213927, 0};
static int joe_kuo_d6_initial_number17831[] = {1, 1, 3, 11, 11, 31, 29, 129, 429, 601, 1217, 3653, 5935, 14823, 21161, 33423, 98391, 214703, 0};
static int joe_kuo_d6_initial_number17832[] = {1, 1, 3, 15, 31, 49, 109, 139, 349, 13, 205, 2483, 8083, 8391, 4789, 30355, 12165, 195263, 0};
static int joe_kuo_d6_initial_number17833[] = {1, 1, 1, 9, 19, 63, 15, 167, 45, 185, 811, 529, 6811, 13441, 27195, 59047, 106675, 167125, 0};
static int joe_kuo_d6_initial_number17834[] = {1, 1, 7, 1, 19, 19, 39, 1, 349, 467, 551, 4081, 4743, 11627, 607, 22005, 60893, 49101, 0};
static int joe_kuo_d6_initial_number17835[] = {1, 3, 7, 9, 9, 25, 105, 119, 113, 825, 1429, 2019, 5209, 8491, 6017, 47783, 88455, 119083, 0};
static int joe_kuo_d6_initial_number17836[] = {1, 3, 3, 13, 21, 39, 107, 119, 321, 251, 563, 311, 4441, 6491, 3157, 65479, 107349, 211621, 0};
static int joe_kuo_d6_initial_number17837[] = {1, 1, 7, 13, 9, 3, 17, 117, 327, 459, 489, 7, 6883, 10047, 31935, 28069, 37903, 188281, 0};
static int joe_kuo_d6_initial_number17838[] = {1, 1, 7, 1, 15, 53, 47, 127, 483, 595, 811, 1143, 4543, 10043, 30349, 24409, 91947, 240165, 0};
static int joe_kuo_d6_initial_number17839[] = {1, 1, 1, 13, 25, 43, 109, 161, 147, 1009, 1071, 1533, 2781, 13439, 20507, 41387, 26943, 84675, 0};
static int joe_kuo_d6_initial_number17840[] = {1, 3, 5, 13, 19, 21, 23, 167, 135, 257, 587, 2691, 5877, 3047, 11745, 24895, 114799, 48003, 0};
static int joe_kuo_d6_initial_number17841[] = {1, 3, 1, 1, 9, 57, 33, 51, 137, 109, 137, 195, 1233, 11139, 16833, 27545, 35877, 126627, 0};
static int joe_kuo_d6_initial_number17842[] = {1, 1, 1, 15, 5, 37, 7, 19, 363, 411, 1193, 767, 6209, 9115, 14699, 55515, 46023, 90693, 0};
static int joe_kuo_d6_initial_number17843[] = {1, 3, 5, 3, 19, 55, 85, 117, 391, 757, 861, 3537, 6507, 6993, 19589, 6843, 33557, 64683, 0};
static int joe_kuo_d6_initial_number17844[] = {1, 1, 7, 5, 5, 61, 99, 9, 311, 595, 807, 429, 63, 12359, 28289, 709, 129911, 143745, 0};
static int joe_kuo_d6_initial_number17845[] = {1, 1, 1, 7, 17, 9, 9, 117, 19, 985, 657, 2803, 2699, 829, 31069, 13277, 106769, 109231, 0};
static int joe_kuo_d6_initial_number17846[] = {1, 1, 5, 13, 25, 19, 63, 217, 419, 221, 1921, 215, 2631, 4659, 29855, 46549, 62257, 260113, 0};
static int joe_kuo_d6_initial_number17847[] = {1, 3, 3, 9, 13, 45, 63, 129, 147, 489, 879, 3025, 6777, 1119, 20963, 30553, 20863, 169837, 0};
static int joe_kuo_d6_initial_number17848[] = {1, 3, 5, 9, 25, 61, 79, 51, 495, 583, 1519, 1501, 123, 13871, 32239, 957, 31921, 255561, 0};
static int joe_kuo_d6_initial_number17849[] = {1, 3, 7, 3, 31, 61, 89, 65, 305, 429, 785, 3871, 7711, 2745, 24131, 43055, 51167, 87743, 0};
static int joe_kuo_d6_initial_number17850[] = {1, 3, 1, 11, 19, 23, 89, 117, 185, 121, 109, 1327, 6553, 14367, 16069, 28657, 81751, 10185, 0};
static int joe_kuo_d6_initial_number17851[] = {1, 3, 5, 5, 17, 33, 115, 61, 101, 367, 1465, 3899, 6601, 4483, 2447, 49575, 129987, 11703, 0};
static int joe_kuo_d6_initial_number17852[] = {1, 1, 3, 13, 13, 59, 79, 83, 253, 171, 53, 2467, 5005, 1045, 943, 62419, 98563, 78935, 0};
static int joe_kuo_d6_initial_number17853[] = {1, 1, 7, 15, 31, 17, 77, 73, 249, 247, 119, 1655, 7079, 14593, 105, 55767, 130401, 74189, 0};
static int joe_kuo_d6_initial_number17854[] = {1, 3, 5, 11, 19, 29, 79, 251, 75, 949, 527, 2779, 5839, 11451, 24125, 45991, 127437, 86541, 0};
static int joe_kuo_d6_initial_number17855[] = {1, 1, 5, 7, 1, 29, 127, 27, 477, 807, 829, 1569, 205, 13319, 16149, 26003, 38985, 188587, 0};
static int joe_kuo_d6_initial_number17856[] = {1, 1, 1, 3, 19, 29, 39, 71, 17, 51, 1169, 467, 7505, 1867, 4469, 32161, 43031, 31675, 0};
static int joe_kuo_d6_initial_number17857[] = {1, 1, 1, 15, 27, 45, 67, 107, 127, 469, 1955, 1933, 2379, 8513, 32071, 35043, 126537, 23303, 0};
static int joe_kuo_d6_initial_number17858[] = {1, 3, 7, 9, 23, 41, 23, 197, 97, 213, 17, 1751, 5467, 6179, 29291, 33397, 42131, 151093, 0};
static int joe_kuo_d6_initial_number17859[] = {1, 3, 7, 15, 27, 3, 39, 87, 365, 77, 487, 293, 6405, 2239, 30455, 44723, 12399, 100013, 0};
static int joe_kuo_d6_initial_number17860[] = {1, 3, 5, 9, 29, 21, 55, 183, 343, 263, 1643, 2027, 2255, 6259, 18277, 64661, 39391, 255839, 0};
static int joe_kuo_d6_initial_number17861[] = {1, 1, 7, 11, 21, 55, 11, 139, 261, 11, 1721, 3779, 85, 8203, 12089, 50579, 128341, 119043, 0};
static int joe_kuo_d6_initial_number17862[] = {1, 3, 5, 13, 27, 53, 109, 1, 313, 661, 431, 1543, 1571, 7337, 18857, 49951, 7881, 228161, 0};
static int joe_kuo_d6_initial_number17863[] = {1, 1, 7, 5, 5, 31, 27, 149, 239, 199, 1011, 1979, 5297, 14609, 26971, 65531, 64215, 115109, 0};
static int joe_kuo_d6_initial_number17864[] = {1, 1, 5, 13, 15, 11, 63, 225, 165, 405, 1367, 2291, 5171, 12419, 19561, 37719, 621, 137607, 0};
static int joe_kuo_d6_initial_number17865[] = {1, 3, 1, 15, 25, 1, 125, 243, 97, 455, 1977, 3333, 801, 1343, 993, 18453, 19285, 71547, 0};
static int joe_kuo_d6_initial_number17866[] = {1, 1, 5, 11, 9, 51, 109, 135, 73, 147, 649, 4071, 7425, 3093, 26417, 51139, 1523, 142225, 0};
static int joe_kuo_d6_initial_number17867[] = {1, 3, 7, 11, 1, 39, 109, 119, 337, 715, 1087, 4005, 1393, 6397, 31135, 38935, 106255, 60723, 0};
static int joe_kuo_d6_initial_number17868[] = {1, 1, 1, 9, 9, 11, 45, 11, 171, 671, 965, 109, 2261, 13775, 8539, 63669, 10507, 249113, 0};
static int joe_kuo_d6_initial_number17869[] = {1, 3, 1, 15, 21, 33, 127, 173, 419, 31, 299, 857, 4915, 11331, 29385, 47375, 111891, 14505, 0};
static int joe_kuo_d6_initial_number17870[] = {1, 3, 5, 13, 7, 43, 85, 183, 377, 275, 803, 1755, 8005, 15327, 31043, 18851, 122581, 229731, 0};
static int joe_kuo_d6_initial_number17871[] = {1, 3, 5, 1, 27, 9, 41, 73, 283, 475, 671, 747, 1419, 15209, 25465, 60061, 91417, 103203, 0};
static int joe_kuo_d6_initial_number17872[] = {1, 3, 1, 15, 15, 43, 13, 45, 217, 519, 363, 3265, 6213, 13045, 3709, 22119, 79733, 224195, 0};
static int joe_kuo_d6_initial_number17873[] = {1, 3, 1, 15, 15, 59, 95, 71, 171, 769, 1395, 2673, 4523, 749, 13411, 60431, 124651, 11475, 0};
static int joe_kuo_d6_initial_number17874[] = {1, 1, 7, 3, 1, 35, 13, 239, 101, 355, 1201, 3665, 5403, 11413, 11983, 52469, 63621, 155819, 0};
static int joe_kuo_d6_initial_number17875[] = {1, 1, 1, 7, 31, 59, 87, 25, 511, 483, 569, 3337, 4027, 8347, 3031, 24351, 57963, 79425, 0};
static int joe_kuo_d6_initial_number17876[] = {1, 3, 1, 3, 11, 17, 29, 249, 61, 923, 585, 2107, 2727, 8589, 22809, 3, 17937, 163267, 0};
static int joe_kuo_d6_initial_number17877[] = {1, 3, 5, 11, 27, 3, 73, 187, 19, 975, 257, 2361, 935, 9071, 29991, 13619, 92169, 101031, 0};
static int joe_kuo_d6_initial_number17878[] = {1, 1, 5, 13, 17, 53, 105, 157, 343, 673, 237, 3231, 7311, 1593, 18521, 57889, 79805, 97847, 0};
static int joe_kuo_d6_initial_number17879[] = {1, 3, 1, 3, 31, 55, 63, 167, 489, 167, 121, 3333, 2475, 1545, 13291, 921, 101757, 62147, 0};
static int joe_kuo_d6_initial_number17880[] = {1, 3, 3, 15, 13, 17, 9, 209, 339, 567, 2011, 1737, 1455, 9289, 6105, 49733, 74237, 93195, 0};
static int joe_kuo_d6_initial_number17881[] = {1, 1, 7, 11, 3, 13, 77, 115, 305, 327, 1005, 3381, 4269, 4835, 27221, 16301, 75173, 244603, 0};
static int joe_kuo_d6_initial_number17882[] = {1, 3, 5, 7, 7, 31, 47, 75, 499, 41, 281, 167, 3525, 8649, 23623, 4987, 2057, 204083, 0};
static int joe_kuo_d6_initial_number17883[] = {1, 3, 3, 5, 9, 5, 35, 53, 269, 437, 1035, 1675, 4567, 13291, 19787, 28937, 108915, 62545, 0};
static int joe_kuo_d6_initial_number17884[] = {1, 3, 1, 5, 15, 59, 57, 181, 321, 1, 791, 2149, 591, 6691, 8759, 62861, 10815, 257331, 0};
static int joe_kuo_d6_initial_number17885[] = {1, 1, 7, 1, 21, 25, 93, 39, 429, 455, 669, 1725, 7087, 11805, 22405, 13083, 88411, 225967, 0};
static int joe_kuo_d6_initial_number17886[] = {1, 1, 5, 15, 5, 45, 15, 1, 55, 281, 2027, 97, 2639, 57, 23717, 21669, 92181, 32731, 0};
static int joe_kuo_d6_initial_number17887[] = {1, 3, 7, 3, 7, 3, 67, 201, 445, 577, 1011, 793, 7763, 10823, 30309, 41565, 37263, 218909, 0};
static int joe_kuo_d6_initial_number17888[] = {1, 1, 7, 3, 17, 53, 51, 119, 399, 903, 1785, 1053, 4315, 2967, 17579, 64185, 55005, 12969, 0};
static int joe_kuo_d6_initial_number17889[] = {1, 3, 3, 13, 21, 63, 13, 1, 427, 39, 71, 1811, 1237, 1623, 11401, 14371, 44355, 93089, 0};
static int joe_kuo_d6_initial_number17890[] = {1, 1, 5, 1, 17, 39, 39, 105, 187, 691, 251, 3957, 931, 12149, 18299, 48819, 23061, 49179, 0};
static int joe_kuo_d6_initial_number17891[] = {1, 1, 5, 11, 31, 3, 23, 211, 101, 763, 237, 3635, 417, 4935, 14997, 3859, 22343, 153541, 0};
static int joe_kuo_d6_initial_number17892[] = {1, 3, 7, 5, 21, 37, 59, 137, 13, 179, 527, 895, 3451, 1743, 3149, 10665, 119427, 259343, 0};
static int joe_kuo_d6_initial_number17893[] = {1, 3, 5, 3, 7, 37, 103, 173, 453, 327, 131, 2453, 7795, 12585, 13947, 59161, 41845, 29527, 0};
static int joe_kuo_d6_initial_number17894[] = {1, 3, 3, 1, 17, 49, 57, 251, 295, 279, 1545, 3963, 589, 9211, 32371, 14963, 116927, 197321, 0};
static int joe_kuo_d6_initial_number17895[] = {1, 1, 3, 7, 17, 59, 37, 115, 315, 591, 481, 767, 4611, 14741, 6949, 19507, 6567, 143371, 0};
static int joe_kuo_d6_initial_number17896[] = {1, 1, 5, 3, 19, 53, 121, 229, 355, 909, 339, 1645, 2747, 7045, 9085, 5799, 50997, 17981, 0};
static int joe_kuo_d6_initial_number17897[] = {1, 3, 3, 9, 3, 1, 109, 7, 15, 177, 789, 3911, 6427, 8453, 22583, 12039, 124587, 123887, 0};
static int joe_kuo_d6_initial_number17898[] = {1, 1, 5, 1, 7, 23, 15, 193, 109, 685, 1147, 3921, 2329, 15153, 25045, 28389, 34759, 256611, 0};
static int joe_kuo_d6_initial_number17899[] = {1, 1, 3, 3, 23, 27, 55, 43, 485, 541, 1617, 3761, 1051, 7525, 19941, 52699, 35421, 162939, 0};
static int joe_kuo_d6_initial_number17900[] = {1, 3, 7, 1, 25, 9, 113, 251, 477, 1005, 9, 3321, 5817, 965, 18523, 29407, 53353, 205575, 0};
static int joe_kuo_d6_initial_number17901[] = {1, 1, 7, 11, 9, 31, 111, 175, 227, 33, 1745, 1141, 1547, 2113, 8785, 40273, 100301, 190749, 0};
static int joe_kuo_d6_initial_number17902[] = {1, 1, 5, 11, 19, 49, 45, 197, 457, 223, 91, 2769, 6331, 1161, 6609, 61905, 42257, 152117, 0};
static int joe_kuo_d6_initial_number17903[] = {1, 1, 7, 11, 1, 17, 37, 153, 431, 933, 269, 1529, 1297, 15567, 149, 41701, 59867, 93631, 0};
static int joe_kuo_d6_initial_number17904[] = {1, 1, 5, 9, 25, 33, 83, 127, 305, 667, 343, 185, 3527, 13079, 10567, 35753, 72191, 214091, 0};
static int joe_kuo_d6_initial_number17905[] = {1, 3, 7, 1, 1, 7, 75, 241, 185, 81, 2043, 3081, 3563, 385, 3055, 59421, 27081, 32521, 0};
static int joe_kuo_d6_initial_number17906[] = {1, 1, 3, 5, 31, 1, 101, 21, 69, 979, 917, 695, 5601, 12251, 15031, 18715, 116985, 53071, 0};
static int joe_kuo_d6_initial_number17907[] = {1, 1, 3, 9, 23, 57, 91, 127, 327, 979, 721, 3855, 1131, 997, 32227, 33843, 128299, 15239, 0};
static int joe_kuo_d6_initial_number17908[] = {1, 3, 7, 13, 23, 1, 87, 105, 259, 939, 1935, 1983, 6619, 1611, 31901, 14745, 96641, 211945, 0};
static int joe_kuo_d6_initial_number17909[] = {1, 1, 3, 5, 25, 17, 39, 95, 137, 971, 377, 2493, 981, 329, 25845, 44513, 100561, 57985, 0};
static int joe_kuo_d6_initial_number17910[] = {1, 1, 3, 9, 27, 37, 69, 103, 167, 131, 487, 2935, 7099, 15375, 4825, 12209, 117165, 84909, 0};
static int joe_kuo_d6_initial_number17911[] = {1, 3, 1, 15, 27, 19, 115, 239, 247, 243, 83, 1535, 8095, 3953, 25721, 62983, 89045, 16783, 0};
static int joe_kuo_d6_initial_number17912[] = {1, 1, 5, 1, 19, 13, 125, 39, 439, 411, 171, 155, 5117, 15137, 19851, 251, 37921, 97209, 0};
static int joe_kuo_d6_initial_number17913[] = {1, 1, 1, 5, 13, 41, 17, 97, 215, 323, 1333, 775, 1155, 15269, 19943, 48489, 71741, 202501, 0};
static int joe_kuo_d6_initial_number17914[] = {1, 3, 5, 3, 1, 31, 55, 125, 69, 437, 1649, 2791, 8027, 15509, 31575, 8491, 106953, 155215, 0};
static int joe_kuo_d6_initial_number17915[] = {1, 3, 3, 13, 19, 45, 39, 63, 227, 67, 2021, 1243, 6525, 7211, 6275, 39719, 74513, 6713, 0};
static int joe_kuo_d6_initial_number17916[] = {1, 1, 5, 11, 13, 45, 15, 101, 171, 613, 1561, 2939, 3849, 2917, 29765, 2027, 53617, 59939, 0};
static int joe_kuo_d6_initial_number17917[] = {1, 1, 5, 9, 27, 21, 119, 19, 441, 759, 703, 2985, 3007, 2087, 5207, 64403, 20273, 66181, 0};
static int joe_kuo_d6_initial_number17918[] = {1, 1, 7, 13, 21, 3, 49, 3, 485, 883, 1863, 1925, 877, 10009, 24191, 58639, 107755, 106539, 0};
static int joe_kuo_d6_initial_number17919[] = {1, 1, 1, 5, 27, 37, 23, 185, 281, 533, 437, 555, 8151, 6489, 22343, 4573, 91577, 167919, 0};
static int joe_kuo_d6_initial_number17920[] = {1, 1, 7, 15, 3, 61, 103, 221, 223, 703, 133, 2923, 1027, 14643, 26413, 16523, 107223, 97185, 0};
static int joe_kuo_d6_initial_number17921[] = {1, 3, 1, 11, 13, 15, 1, 203, 363, 675, 511, 3225, 1163, 741, 16063, 8097, 95905, 148465, 0};
static int joe_kuo_d6_initial_number17922[] = {1, 3, 1, 7, 11, 11, 11, 243, 371, 129, 209, 3533, 1279, 12181, 31973, 29165, 122089, 115117, 0};
static int joe_kuo_d6_initial_number17923[] = {1, 3, 1, 5, 25, 17, 31, 45, 215, 809, 1443, 3245, 1005, 2903, 20783, 23041, 96577, 192063, 0};
static int joe_kuo_d6_initial_number17924[] = {1, 3, 3, 3, 19, 17, 101, 219, 91, 805, 189, 761, 4771, 11629, 7285, 21631, 21691, 47421, 0};
static int joe_kuo_d6_initial_number17925[] = {1, 3, 7, 1, 31, 11, 71, 149, 303, 793, 35, 3109, 2769, 11593, 31839, 2053, 4541, 202997, 0};
static int joe_kuo_d6_initial_number17926[] = {1, 1, 1, 3, 11, 19, 113, 249, 141, 659, 1117, 2145, 2617, 1075, 25347, 12913, 27457, 222095, 0};
static int joe_kuo_d6_initial_number17927[] = {1, 3, 1, 3, 5, 23, 41, 57, 193, 815, 1293, 1109, 7597, 999, 10773, 41065, 18555, 35617, 0};
static int joe_kuo_d6_initial_number17928[] = {1, 1, 3, 1, 31, 11, 127, 99, 163, 293, 299, 3415, 3761, 8781, 5327, 47631, 56411, 242787, 0};
static int joe_kuo_d6_initial_number17929[] = {1, 3, 7, 13, 3, 41, 23, 169, 419, 725, 1419, 2643, 5265, 77, 24077, 18639, 78665, 205303, 0};
static int joe_kuo_d6_initial_number17930[] = {1, 1, 5, 1, 31, 39, 39, 205, 413, 393, 1713, 309, 707, 4153, 10461, 16053, 26963, 253993, 0};
static int joe_kuo_d6_initial_number17931[] = {1, 3, 7, 5, 23, 37, 125, 87, 199, 631, 1935, 551, 7047, 4585, 21257, 42345, 39365, 249393, 0};
static int joe_kuo_d6_initial_number17932[] = {1, 3, 5, 13, 17, 55, 29, 209, 151, 465, 155, 363, 3097, 4093, 9869, 23297, 33973, 115543, 0};
static int joe_kuo_d6_initial_number17933[] = {1, 1, 1, 13, 23, 59, 83, 71, 145, 717, 127, 1299, 1701, 10885, 5343, 40793, 87819, 66621, 0};
static int joe_kuo_d6_initial_number17934[] = {1, 3, 3, 9, 19, 37, 23, 11, 269, 603, 871, 851, 837, 15303, 7595, 56481, 57819, 185065, 0};
static int joe_kuo_d6_initial_number17935[] = {1, 3, 1, 1, 3, 15, 11, 249, 413, 723, 1403, 3233, 2747, 10335, 7127, 63285, 29237, 191953, 0};
static int joe_kuo_d6_initial_number17936[] = {1, 3, 1, 1, 11, 31, 67, 139, 51, 413, 521, 969, 171, 5943, 31613, 16477, 85771, 202139, 0};
static int joe_kuo_d6_initial_number17937[] = {1, 3, 7, 5, 5, 21, 109, 25, 463, 873, 493, 2673, 6409, 11199, 17195, 40623, 76821, 72509, 0};
static int joe_kuo_d6_initial_number17938[] = {1, 1, 7, 7, 11, 1, 95, 43, 243, 67, 1289, 3219, 2255, 4957, 17561, 40499, 48537, 108809, 0};
static int joe_kuo_d6_initial_number17939[] = {1, 1, 7, 15, 3, 39, 45, 75, 43, 821, 533, 4043, 1503, 83, 26937, 56327, 114149, 156845, 0};
static int joe_kuo_d6_initial_number17940[] = {1, 3, 1, 1, 31, 21, 59, 1, 77, 147, 137, 1827, 4123, 2791, 27859, 57921, 40569, 134753, 0};
static int joe_kuo_d6_initial_number17941[] = {1, 1, 5, 13, 31, 41, 111, 11, 181, 963, 459, 2771, 6123, 4035, 1627, 2047, 109537, 33653, 0};
static int joe_kuo_d6_initial_number17942[] = {1, 3, 5, 7, 31, 57, 17, 21, 5, 761, 1833, 1279, 1239, 10089, 22531, 32547, 82699, 28389, 0};
static int joe_kuo_d6_initial_number17943[] = {1, 3, 5, 13, 11, 39, 11, 61, 299, 753, 1067, 1347, 5189, 12859, 681, 46309, 31873, 90333, 0};
static int joe_kuo_d6_initial_number17944[] = {1, 3, 1, 5, 13, 27, 119, 205, 377, 457, 817, 3017, 279, 1859, 30241, 52089, 61445, 176203, 0};
static int joe_kuo_d6_initial_number17945[] = {1, 1, 3, 5, 11, 35, 17, 163, 27, 1001, 417, 2899, 1959, 5513, 1441, 19743, 67147, 236591, 0};
static int joe_kuo_d6_initial_number17946[] = {1, 3, 5, 13, 15, 39, 53, 179, 447, 675, 933, 1261, 4415, 9845, 28459, 33497, 107375, 156855, 0};
static int joe_kuo_d6_initial_number17947[] = {1, 3, 3, 13, 27, 31, 11, 191, 413, 1011, 2035, 3965, 2071, 5429, 16247, 7439, 15079, 225041, 0};
static int joe_kuo_d6_initial_number17948[] = {1, 3, 3, 11, 7, 23, 87, 215, 241, 687, 1351, 2399, 4677, 12967, 22957, 10443, 116701, 155477, 0};
static int joe_kuo_d6_initial_number17949[] = {1, 3, 7, 5, 25, 55, 5, 197, 359, 879, 619, 1969, 1513, 12743, 10953, 28343, 63685, 39115, 0};
static int joe_kuo_d6_initial_number17950[] = {1, 1, 3, 1, 19, 15, 63, 7, 305, 343, 1333, 3845, 377, 14031, 28383, 4271, 60063, 11827, 0};
static int joe_kuo_d6_initial_number17951[] = {1, 3, 5, 15, 25, 21, 115, 101, 171, 735, 787, 3143, 593, 8793, 4121, 15471, 53491, 20617, 0};
static int joe_kuo_d6_initial_number17952[] = {1, 1, 5, 15, 15, 51, 103, 17, 433, 611, 1351, 1729, 6147, 11623, 3, 6319, 6133, 19029, 0};
static int joe_kuo_d6_initial_number17953[] = {1, 3, 1, 13, 29, 15, 115, 97, 505, 985, 745, 745, 1459, 7193, 1247, 58901, 114255, 212849, 0};
static int joe_kuo_d6_initial_number17954[] = {1, 1, 7, 1, 1, 53, 99, 35, 377, 723, 1751, 2625, 5113, 13295, 20133, 26831, 41657, 51717, 0};
static int joe_kuo_d6_initial_number17955[] = {1, 3, 5, 15, 15, 39, 17, 227, 351, 435, 49, 203, 6959, 11673, 15755, 29733, 51445, 64619, 0};
static int joe_kuo_d6_initial_number17956[] = {1, 1, 1, 3, 25, 51, 57, 137, 415, 49, 355, 2149, 7607, 10781, 30363, 43889, 55543, 36637, 0};
static int joe_kuo_d6_initial_number17957[] = {1, 1, 7, 5, 5, 15, 73, 189, 153, 949, 527, 587, 513, 12891, 16765, 41477, 75569, 80747, 0};
static int joe_kuo_d6_initial_number17958[] = {1, 1, 5, 5, 9, 5, 3, 225, 115, 125, 821, 3551, 4833, 927, 24331, 63669, 26549, 220159, 0};
static int joe_kuo_d6_initial_number17959[] = {1, 1, 3, 9, 21, 7, 9, 183, 391, 783, 493, 2785, 3879, 8311, 9935, 60629, 119329, 5791, 0};
static int joe_kuo_d6_initial_number17960[] = {1, 1, 5, 15, 15, 41, 61, 97, 33, 29, 199, 3335, 1531, 6107, 757, 33797, 3001, 224507, 0};
static int joe_kuo_d6_initial_number17961[] = {1, 1, 3, 9, 13, 39, 25, 247, 407, 1, 1129, 1453, 7091, 5557, 8657, 33961, 100763, 25099, 0};
static int joe_kuo_d6_initial_number17962[] = {1, 3, 3, 13, 31, 21, 69, 73, 431, 827, 861, 235, 2369, 4283, 27183, 29095, 99957, 97577, 0};
static int joe_kuo_d6_initial_number17963[] = {1, 1, 7, 13, 1, 25, 21, 173, 365, 921, 21, 3527, 2481, 8795, 25621, 41755, 127249, 221385, 0};
static int joe_kuo_d6_initial_number17964[] = {1, 1, 1, 5, 25, 25, 65, 203, 305, 373, 527, 4033, 3483, 9403, 28669, 32083, 52273, 77037, 0};
static int joe_kuo_d6_initial_number17965[] = {1, 3, 1, 15, 9, 23, 19, 7, 29, 83, 1163, 1147, 5315, 2381, 21203, 33915, 109511, 40669, 0};
static int joe_kuo_d6_initial_number17966[] = {1, 3, 7, 15, 23, 19, 69, 127, 113, 937, 935, 1067, 2431, 7677, 21327, 44095, 82799, 5715, 0};
static int joe_kuo_d6_initial_number17967[] = {1, 1, 5, 5, 7, 37, 107, 223, 433, 515, 393, 1721, 1977, 6383, 18835, 54841, 103263, 196997, 0};
static int joe_kuo_d6_initial_number17968[] = {1, 1, 1, 3, 1, 11, 85, 173, 259, 685, 595, 1635, 6979, 4483, 8097, 42249, 56259, 105925, 0};
static int joe_kuo_d6_initial_number17969[] = {1, 1, 7, 7, 1, 23, 11, 253, 187, 665, 313, 3745, 2423, 15835, 32085, 48643, 75625, 47511, 0};
static int joe_kuo_d6_initial_number17970[] = {1, 1, 3, 5, 1, 59, 127, 83, 501, 387, 977, 3515, 7921, 12329, 14757, 20287, 49699, 91237, 0};
static int joe_kuo_d6_initial_number17971[] = {1, 3, 5, 11, 31, 45, 51, 109, 319, 621, 1013, 3519, 4023, 12099, 28829, 26691, 83131, 261497, 0};
static int joe_kuo_d6_initial_number17972[] = {1, 1, 3, 3, 5, 35, 51, 253, 253, 569, 1017, 2299, 8159, 13783, 22123, 55213, 111527, 110699, 0};
static int joe_kuo_d6_initial_number17973[] = {1, 3, 7, 3, 9, 5, 59, 129, 41, 845, 723, 1607, 3047, 14323, 19277, 39447, 12465, 45925, 0};
static int joe_kuo_d6_initial_number17974[] = {1, 1, 3, 1, 17, 35, 51, 79, 115, 361, 739, 2037, 6167, 14699, 28187, 65271, 67285, 48489, 0};
static int joe_kuo_d6_initial_number17975[] = {1, 3, 1, 11, 1, 29, 95, 181, 419, 235, 745, 621, 3889, 2933, 743, 23801, 32057, 54103, 0};
static int joe_kuo_d6_initial_number17976[] = {1, 3, 1, 11, 17, 47, 43, 55, 7, 695, 1653, 3983, 961, 3037, 8669, 10039, 86571, 6981, 0};
static int joe_kuo_d6_initial_number17977[] = {1, 1, 5, 15, 13, 19, 67, 141, 291, 511, 1913, 397, 7423, 6541, 21845, 49821, 126047, 218587, 0};
static int joe_kuo_d6_initial_number17978[] = {1, 1, 5, 3, 11, 13, 103, 213, 189, 115, 1495, 2695, 2127, 11979, 13609, 46615, 64775, 206417, 0};
static int joe_kuo_d6_initial_number17979[] = {1, 3, 1, 5, 5, 9, 57, 207, 253, 251, 1155, 1319, 6699, 6613, 21757, 49703, 124879, 89987, 0};
static int joe_kuo_d6_initial_number17980[] = {1, 3, 5, 7, 23, 25, 35, 81, 165, 789, 771, 415, 5557, 8431, 12043, 44359, 9447, 229481, 0};
static int joe_kuo_d6_initial_number17981[] = {1, 1, 1, 13, 17, 21, 63, 251, 387, 767, 85, 3901, 3227, 10329, 5049, 56173, 58065, 78595, 0};
static int joe_kuo_d6_initial_number17982[] = {1, 3, 1, 15, 23, 5, 45, 7, 123, 389, 1041, 1223, 5865, 5365, 2915, 24861, 106893, 170769, 0};
static int joe_kuo_d6_initial_number17983[] = {1, 3, 7, 15, 27, 61, 27, 59, 309, 103, 279, 1829, 1501, 11277, 4461, 34817, 60973, 99805, 0};
static int joe_kuo_d6_initial_number17984[] = {1, 1, 3, 9, 1, 25, 57, 85, 411, 699, 911, 1643, 2687, 13539, 10187, 21597, 18883, 212975, 0};
static int joe_kuo_d6_initial_number17985[] = {1, 1, 3, 7, 5, 7, 81, 209, 225, 321, 1867, 2189, 6315, 5393, 8859, 47471, 41677, 222455, 0};
static int joe_kuo_d6_initial_number17986[] = {1, 1, 5, 11, 27, 33, 119, 159, 273, 659, 883, 3773, 6519, 15449, 17219, 23923, 33749, 225489, 0};
static int joe_kuo_d6_initial_number17987[] = {1, 1, 7, 13, 29, 39, 1, 161, 165, 531, 1019, 2369, 2093, 4341, 24945, 28537, 49467, 258065, 0};
static int joe_kuo_d6_initial_number17988[] = {1, 3, 3, 3, 15, 59, 23, 143, 377, 943, 1329, 977, 7025, 2167, 17973, 65087, 115757, 75959, 0};
static int joe_kuo_d6_initial_number17989[] = {1, 1, 1, 15, 17, 55, 33, 167, 43, 719, 51, 3873, 3317, 10763, 639, 58195, 20023, 100725, 0};
static int joe_kuo_d6_initial_number17990[] = {1, 1, 7, 5, 17, 23, 71, 249, 23, 929, 467, 3073, 3355, 1343, 18755, 12247, 49737, 184103, 0};
static int joe_kuo_d6_initial_number17991[] = {1, 3, 3, 15, 1, 9, 17, 193, 157, 265, 983, 1825, 4805, 2131, 22117, 32937, 57, 261867, 0};
static int joe_kuo_d6_initial_number17992[] = {1, 3, 5, 9, 5, 1, 101, 141, 511, 489, 73, 1789, 1303, 2633, 709, 11891, 44897, 191229, 0};
static int joe_kuo_d6_initial_number17993[] = {1, 1, 7, 15, 1, 27, 121, 7, 129, 421, 725, 1421, 3883, 13335, 7247, 8393, 85029, 127691, 0};
static int joe_kuo_d6_initial_number17994[] = {1, 1, 3, 9, 19, 53, 121, 115, 85, 909, 1535, 3261, 7063, 16381, 1719, 19847, 19041, 215433, 0};
static int joe_kuo_d6_initial_number17995[] = {1, 1, 7, 3, 17, 45, 91, 187, 181, 829, 609, 931, 5727, 3971, 14567, 15871, 9825, 184165, 0};
static int joe_kuo_d6_initial_number17996[] = {1, 1, 1, 3, 5, 29, 7, 249, 361, 815, 1101, 1485, 6879, 5379, 7179, 27467, 101427, 196089, 0};
static int joe_kuo_d6_initial_number17997[] = {1, 1, 5, 7, 23, 11, 27, 175, 237, 747, 1911, 3107, 961, 6649, 29887, 11003, 27561, 233841, 0};
static int joe_kuo_d6_initial_number17998[] = {1, 1, 1, 5, 11, 5, 125, 227, 303, 315, 1879, 817, 7445, 1447, 9333, 54825, 118865, 216397, 0};
static int joe_kuo_d6_initial_number17999[] = {1, 1, 3, 13, 17, 33, 27, 95, 245, 25, 1741, 2633, 1869, 14111, 24507, 61287, 46397, 220803, 0};
static int joe_kuo_d6_initial_number18000[] = {1, 1, 7, 7, 25, 5, 41, 101, 171, 333, 497, 3417, 4921, 4553, 25487, 51529, 72873, 43525, 0};
static int joe_kuo_d6_initial_number18001[] = {1, 1, 7, 7, 9, 19, 25, 161, 235, 929, 1663, 3237, 323, 3889, 31423, 2345, 63113, 212659, 0};
static int joe_kuo_d6_initial_number18002[] = {1, 1, 5, 13, 29, 59, 39, 25, 393, 519, 429, 1461, 5867, 113, 28091, 36813, 47827, 163407, 0};
static int joe_kuo_d6_initial_number18003[] = {1, 3, 5, 13, 15, 49, 85, 161, 83, 389, 765, 3349, 4659, 11007, 24749, 51121, 93511, 229885, 0};
static int joe_kuo_d6_initial_number18004[] = {1, 3, 5, 11, 5, 27, 107, 233, 221, 425, 941, 1181, 5403, 4373, 32625, 41991, 2019, 245967, 0};
static int joe_kuo_d6_initial_number18005[] = {1, 3, 5, 9, 9, 53, 97, 27, 221, 731, 1301, 3517, 4407, 11369, 4251, 31121, 4813, 42029, 0};
static int joe_kuo_d6_initial_number18006[] = {1, 1, 1, 9, 17, 59, 107, 247, 231, 123, 1177, 3299, 6163, 4855, 14547, 63171, 45201, 27711, 0};
static int joe_kuo_d6_initial_number18007[] = {1, 3, 7, 3, 25, 31, 63, 37, 123, 457, 1531, 3723, 4807, 14665, 17973, 42547, 5417, 170323, 0};
static int joe_kuo_d6_initial_number18008[] = {1, 3, 7, 3, 17, 19, 57, 7, 359, 741, 385, 3127, 855, 10803, 30093, 24501, 53629, 40447, 0};
static int joe_kuo_d6_initial_number18009[] = {1, 3, 7, 15, 11, 45, 49, 125, 445, 795, 113, 2425, 7085, 7337, 16297, 26447, 94369, 12371, 0};
static int joe_kuo_d6_initial_number18010[] = {1, 3, 7, 9, 29, 59, 35, 191, 123, 619, 415, 1081, 2469, 4125, 25587, 7853, 119781, 9447, 0};
static int joe_kuo_d6_initial_number18011[] = {1, 3, 1, 15, 13, 13, 111, 89, 381, 757, 389, 253, 6929, 33, 8263, 17385, 122129, 146679, 0};
static int joe_kuo_d6_initial_number18012[] = {1, 1, 3, 3, 15, 35, 101, 95, 479, 577, 1645, 3781, 7533, 4665, 6561, 49897, 72413, 151383, 0};
static int joe_kuo_d6_initial_number18013[] = {1, 1, 1, 1, 7, 49, 23, 223, 189, 763, 227, 2805, 8093, 389, 11525, 30915, 91341, 210231, 0};
static int joe_kuo_d6_initial_number18014[] = {1, 1, 7, 3, 19, 23, 3, 137, 79, 569, 1833, 2091, 4235, 10739, 22855, 33845, 120141, 220267, 0};
static int joe_kuo_d6_initial_number18015[] = {1, 3, 7, 3, 11, 43, 85, 63, 419, 681, 365, 3017, 3603, 6413, 13515, 16003, 107949, 241261, 0};
static int joe_kuo_d6_initial_number18016[] = {1, 1, 5, 13, 3, 35, 41, 193, 189, 999, 1395, 2431, 2227, 7245, 23929, 16137, 14591, 54999, 0};
static int joe_kuo_d6_initial_number18017[] = {1, 1, 7, 15, 23, 51, 47, 77, 31, 25, 589, 611, 371, 13329, 5873, 2133, 40351, 145293, 0};
static int joe_kuo_d6_initial_number18018[] = {1, 1, 7, 15, 17, 19, 53, 155, 309, 573, 1059, 3557, 2445, 12205, 4497, 32061, 130293, 73859, 0};
static int joe_kuo_d6_initial_number18019[] = {1, 1, 7, 13, 3, 25, 71, 157, 237, 185, 1035, 1759, 1331, 13533, 25635, 811, 54391, 91109, 0};
static int joe_kuo_d6_initial_number18020[] = {1, 1, 1, 11, 5, 21, 99, 31, 259, 413, 2033, 2187, 755, 4591, 28641, 64031, 88499, 160789, 0};
static int joe_kuo_d6_initial_number18021[] = {1, 3, 7, 13, 29, 33, 13, 157, 97, 981, 329, 81, 6351, 4171, 10925, 22733, 72521, 105477, 0};
static int joe_kuo_d6_initial_number18022[] = {1, 3, 7, 9, 11, 31, 97, 35, 337, 309, 847, 3429, 2697, 3141, 19481, 43679, 11129, 205757, 0};
static int joe_kuo_d6_initial_number18023[] = {1, 3, 1, 7, 27, 45, 123, 193, 439, 639, 633, 1375, 7307, 1599, 23379, 56811, 100877, 228687, 0};
static int joe_kuo_d6_initial_number18024[] = {1, 3, 7, 1, 29, 43, 103, 131, 103, 933, 143, 2431, 2221, 4565, 20841, 58611, 49163, 13673, 0};
static int joe_kuo_d6_initial_number18025[] = {1, 3, 5, 13, 25, 17, 121, 17, 455, 941, 1577, 509, 5401, 797, 29573, 38373, 50527, 17951, 0};
static int joe_kuo_d6_initial_number18026[] = {1, 1, 1, 13, 25, 21, 77, 253, 199, 871, 935, 3919, 1687, 6653, 20345, 56969, 77989, 244767, 0};
static int joe_kuo_d6_initial_number18027[] = {1, 1, 3, 1, 17, 5, 5, 191, 279, 33, 579, 651, 969, 6091, 11659, 1643, 17935, 85145, 0};
static int joe_kuo_d6_initial_number18028[] = {1, 3, 3, 9, 29, 1, 103, 39, 83, 295, 1237, 207, 4837, 7899, 27879, 23195, 29549, 206885, 0};
static int joe_kuo_d6_initial_number18029[] = {1, 3, 5, 1, 9, 55, 115, 37, 225, 447, 943, 1133, 6203, 949, 9973, 4309, 43969, 166795, 0};
static int joe_kuo_d6_initial_number18030[] = {1, 1, 7, 7, 17, 43, 75, 251, 35, 489, 1011, 355, 4113, 2377, 13775, 34935, 84905, 252973, 0};
static int joe_kuo_d6_initial_number18031[] = {1, 3, 3, 3, 11, 45, 3, 1, 135, 499, 81, 3265, 6657, 3875, 27565, 60931, 13117, 87931, 0};
static int joe_kuo_d6_initial_number18032[] = {1, 1, 3, 1, 9, 1, 77, 69, 137, 241, 1613, 2607, 3307, 171, 13551, 54529, 45937, 180411, 0};
static int joe_kuo_d6_initial_number18033[] = {1, 1, 1, 1, 19, 29, 77, 255, 95, 461, 567, 1103, 2753, 10627, 19479, 43411, 128565, 29869, 0};
static int joe_kuo_d6_initial_number18034[] = {1, 1, 3, 5, 5, 63, 123, 159, 165, 733, 1107, 1711, 5039, 9221, 15541, 5527, 27629, 206505, 0};
static int joe_kuo_d6_initial_number18035[] = {1, 3, 1, 3, 7, 45, 73, 63, 413, 693, 433, 2281, 3981, 7719, 31473, 56939, 70391, 67467, 0};
static int joe_kuo_d6_initial_number18036[] = {1, 1, 1, 11, 19, 33, 113, 151, 427, 603, 1653, 2451, 5367, 12171, 14373, 33175, 62013, 209273, 0};
static int joe_kuo_d6_initial_number18037[] = {1, 3, 5, 5, 17, 37, 109, 5, 187, 293, 617, 2663, 7381, 14217, 23561, 48999, 108717, 248289, 0};
static int joe_kuo_d6_initial_number18038[] = {1, 1, 5, 1, 9, 27, 35, 127, 355, 479, 281, 2081, 7303, 259, 8893, 59141, 20927, 61611, 0};
static int joe_kuo_d6_initial_number18039[] = {1, 3, 3, 15, 31, 33, 71, 209, 315, 363, 593, 1035, 8029, 12501, 2859, 54745, 39391, 153259, 0};
static int joe_kuo_d6_initial_number18040[] = {1, 3, 3, 11, 21, 39, 35, 173, 171, 15, 987, 3737, 7415, 1827, 973, 6831, 108643, 241333, 0};
static int joe_kuo_d6_initial_number18041[] = {1, 3, 7, 9, 17, 37, 127, 243, 153, 195, 113, 309, 5301, 13619, 7927, 35385, 9501, 99241, 0};
static int joe_kuo_d6_initial_number18042[] = {1, 3, 5, 13, 23, 9, 81, 235, 139, 635, 443, 2235, 2613, 2389, 18431, 8409, 2885, 254811, 0};
static int joe_kuo_d6_initial_number18043[] = {1, 3, 7, 9, 1, 5, 15, 109, 141, 173, 1059, 1961, 7945, 10381, 17337, 19591, 42173, 119831, 0};
static int joe_kuo_d6_initial_number18044[] = {1, 3, 1, 13, 19, 7, 111, 111, 345, 327, 1147, 2293, 49, 16213, 25309, 60537, 50421, 108467, 0};
static int joe_kuo_d6_initial_number18045[] = {1, 1, 5, 1, 3, 23, 63, 219, 69, 879, 1397, 3857, 1859, 1939, 4851, 26549, 86019, 7927, 0};
static int joe_kuo_d6_initial_number18046[] = {1, 3, 1, 13, 23, 61, 25, 31, 301, 189, 1031, 2817, 829, 8777, 26869, 54405, 43535, 234687, 0};
static int joe_kuo_d6_initial_number18047[] = {1, 1, 1, 9, 11, 31, 13, 139, 77, 567, 949, 3415, 6955, 14973, 9565, 37911, 18395, 94167, 0};
static int joe_kuo_d6_initial_number18048[] = {1, 3, 5, 13, 17, 17, 21, 213, 171, 993, 1001, 979, 5085, 3909, 11797, 48669, 73541, 48979, 0};
static int joe_kuo_d6_initial_number18049[] = {1, 1, 7, 9, 7, 37, 35, 107, 347, 239, 585, 2883, 3235, 1053, 14871, 25799, 4861, 56335, 0};
static int joe_kuo_d6_initial_number18050[] = {1, 1, 3, 5, 19, 7, 91, 139, 325, 921, 863, 209, 845, 15943, 8281, 55103, 110193, 216091, 0};
static int joe_kuo_d6_initial_number18051[] = {1, 3, 1, 13, 31, 33, 65, 155, 177, 103, 1991, 343, 6299, 3587, 30215, 64335, 114301, 220403, 0};
static int joe_kuo_d6_initial_number18052[] = {1, 3, 5, 3, 31, 37, 121, 157, 443, 349, 1097, 3683, 503, 14061, 14685, 29755, 61543, 232983, 0};
static int joe_kuo_d6_initial_number18053[] = {1, 3, 3, 11, 17, 59, 29, 161, 381, 791, 1647, 1077, 6369, 1095, 17279, 43141, 65003, 144609, 0};
static int joe_kuo_d6_initial_number18054[] = {1, 1, 5, 1, 1, 15, 67, 77, 3, 585, 1909, 1485, 3003, 591, 4711, 10279, 75901, 226417, 0};
static int joe_kuo_d6_initial_number18055[] = {1, 3, 7, 5, 1, 5, 5, 193, 469, 631, 1065, 607, 2751, 8163, 13633, 40563, 1417, 118169, 0};
static int joe_kuo_d6_initial_number18056[] = {1, 1, 7, 9, 25, 25, 109, 27, 157, 495, 225, 1385, 4315, 995, 10591, 1629, 129939, 56765, 0};
static int joe_kuo_d6_initial_number18057[] = {1, 3, 1, 7, 9, 23, 61, 63, 35, 145, 1537, 1029, 4225, 1467, 10519, 32861, 519, 53983, 0};
static int joe_kuo_d6_initial_number18058[] = {1, 3, 3, 11, 7, 59, 25, 199, 403, 967, 1089, 1121, 1063, 6701, 16827, 55479, 72983, 36873, 0};
static int joe_kuo_d6_initial_number18059[] = {1, 1, 1, 13, 9, 27, 19, 23, 395, 229, 1837, 1231, 1737, 10475, 16743, 42369, 130331, 47255, 0};
static int joe_kuo_d6_initial_number18060[] = {1, 1, 5, 7, 29, 15, 95, 155, 339, 65, 751, 2399, 5615, 2987, 16769, 57381, 113021, 41417, 0};
static int joe_kuo_d6_initial_number18061[] = {1, 3, 1, 9, 15, 17, 1, 111, 197, 7, 417, 3999, 7261, 5939, 16773, 29275, 105559, 84685, 0};
static int joe_kuo_d6_initial_number18062[] = {1, 3, 3, 13, 19, 31, 103, 1, 37, 269, 1257, 1397, 4293, 3019, 6503, 7727, 93943, 237313, 0};
static int joe_kuo_d6_initial_number18063[] = {1, 1, 3, 9, 13, 37, 67, 129, 43, 669, 1331, 1787, 8185, 323, 18749, 13737, 86123, 154131, 0};
static int joe_kuo_d6_initial_number18064[] = {1, 3, 1, 11, 3, 51, 13, 35, 197, 867, 559, 1381, 1057, 13293, 20603, 18633, 50503, 169685, 0};
static int joe_kuo_d6_initial_number18065[] = {1, 3, 1, 11, 9, 35, 7, 51, 499, 885, 353, 4095, 6491, 5917, 15053, 18363, 99593, 213089, 0};
static int joe_kuo_d6_initial_number18066[] = {1, 1, 3, 9, 19, 23, 107, 147, 339, 331, 1349, 2855, 3721, 13317, 26457, 783, 93949, 196051, 0};
static int joe_kuo_d6_initial_number18067[] = {1, 1, 5, 1, 9, 61, 89, 217, 315, 385, 1729, 2641, 5753, 6269, 547, 33737, 20103, 31533, 0};
static int joe_kuo_d6_initial_number18068[] = {1, 3, 5, 13, 13, 61, 3, 191, 57, 683, 1227, 1255, 3651, 10687, 9049, 6529, 60783, 28639, 0};
static int joe_kuo_d6_initial_number18069[] = {1, 1, 7, 11, 25, 41, 79, 19, 383, 363, 1731, 1597, 1651, 15037, 22191, 51883, 41927, 82419, 0};
static int joe_kuo_d6_initial_number18070[] = {1, 3, 5, 9, 15, 61, 39, 149, 49, 633, 709, 1743, 621, 14659, 3309, 64129, 91897, 74235, 0};
static int joe_kuo_d6_initial_number18071[] = {1, 3, 7, 15, 5, 59, 7, 197, 111, 885, 1737, 855, 2807, 3817, 13759, 29989, 45105, 171689, 0};
static int joe_kuo_d6_initial_number18072[] = {1, 1, 3, 9, 21, 25, 55, 67, 483, 437, 303, 703, 6993, 1971, 4565, 56117, 6105, 254517, 0};
static int joe_kuo_d6_initial_number18073[] = {1, 3, 3, 13, 15, 13, 19, 3, 487, 751, 1185, 2985, 1619, 7139, 26087, 21105, 9049, 236153, 0};
static int joe_kuo_d6_initial_number18074[] = {1, 1, 5, 7, 15, 55, 51, 231, 85, 953, 713, 659, 2021, 4271, 15961, 26873, 31141, 76635, 0};
static int joe_kuo_d6_initial_number18075[] = {1, 3, 5, 1, 11, 39, 3, 223, 367, 903, 799, 415, 7247, 9539, 14479, 37195, 59951, 181935, 0};
static int joe_kuo_d6_initial_number18076[] = {1, 1, 5, 3, 13, 47, 17, 159, 439, 859, 1067, 3111, 5277, 13973, 21999, 28381, 115685, 231483, 0};
static int joe_kuo_d6_initial_number18077[] = {1, 1, 7, 15, 17, 21, 69, 131, 193, 479, 1075, 3271, 2057, 1295, 31235, 35027, 94145, 65419, 0};
static int joe_kuo_d6_initial_number18078[] = {1, 3, 3, 5, 5, 21, 5, 81, 113, 259, 837, 831, 5985, 6717, 12041, 40355, 50957, 111185, 0};
static int joe_kuo_d6_initial_number18079[] = {1, 1, 1, 9, 15, 47, 103, 195, 465, 739, 1415, 225, 3121, 12623, 7539, 17555, 36703, 217641, 0};
static int joe_kuo_d6_initial_number18080[] = {1, 3, 1, 3, 31, 17, 91, 153, 221, 217, 525, 981, 281, 9869, 9713, 10669, 12049, 97615, 0};
static int joe_kuo_d6_initial_number18081[] = {1, 1, 5, 7, 29, 1, 1, 199, 415, 843, 301, 941, 4589, 13301, 5833, 41311, 74019, 78537, 0};
static int joe_kuo_d6_initial_number18082[] = {1, 1, 5, 11, 13, 5, 41, 127, 213, 917, 1297, 2281, 3193, 3877, 9517, 40685, 14657, 185139, 0};
static int joe_kuo_d6_initial_number18083[] = {1, 1, 1, 7, 21, 45, 87, 33, 425, 487, 643, 271, 7087, 5979, 14795, 27575, 34541, 173251, 0};
static int joe_kuo_d6_initial_number18084[] = {1, 3, 7, 5, 21, 11, 7, 169, 325, 905, 973, 2853, 7929, 8801, 1005, 60641, 45973, 81859, 0};
static int joe_kuo_d6_initial_number18085[] = {1, 3, 3, 1, 1, 35, 39, 81, 93, 463, 697, 2309, 7769, 5169, 17595, 41447, 28837, 52613, 0};
static int joe_kuo_d6_initial_number18086[] = {1, 1, 7, 1, 1, 23, 37, 17, 137, 873, 1657, 681, 503, 7887, 24463, 32453, 112727, 133347, 0};
static int joe_kuo_d6_initial_number18087[] = {1, 1, 5, 9, 19, 35, 37, 85, 11, 245, 11, 3, 6475, 5953, 247, 49447, 32813, 243841, 0};
static int joe_kuo_d6_initial_number18088[] = {1, 3, 5, 3, 19, 53, 37, 45, 431, 259, 1831, 1443, 2237, 7651, 20701, 22857, 50041, 119667, 0};
static int joe_kuo_d6_initial_number18089[] = {1, 1, 7, 1, 5, 37, 113, 69, 389, 369, 1251, 1989, 7613, 10669, 4233, 33379, 72465, 256861, 0};
static int joe_kuo_d6_initial_number18090[] = {1, 1, 7, 5, 27, 55, 17, 75, 373, 325, 1981, 1743, 7341, 319, 28169, 3587, 66057, 169723, 0};
static int joe_kuo_d6_initial_number18091[] = {1, 3, 3, 15, 27, 31, 47, 91, 367, 245, 2045, 979, 2169, 10935, 29523, 64871, 119447, 92131, 0};
static int joe_kuo_d6_initial_number18092[] = {1, 3, 7, 15, 9, 11, 93, 61, 249, 107, 1883, 2547, 375, 4195, 6451, 14533, 62529, 93557, 0};
static int joe_kuo_d6_initial_number18093[] = {1, 1, 1, 3, 29, 61, 65, 155, 301, 1017, 131, 1567, 3649, 3447, 27943, 52111, 9133, 88147, 0};
static int joe_kuo_d6_initial_number18094[] = {1, 1, 1, 1, 21, 59, 107, 151, 265, 707, 767, 2325, 8095, 14027, 15355, 15465, 83143, 116199, 0};
static int joe_kuo_d6_initial_number18095[] = {1, 3, 1, 15, 23, 51, 31, 25, 439, 357, 1563, 1091, 2135, 1327, 18427, 60965, 29215, 157351, 0};
static int joe_kuo_d6_initial_number18096[] = {1, 3, 3, 13, 29, 37, 25, 215, 149, 487, 703, 1787, 3641, 8301, 8795, 13845, 95245, 169793, 0};
static int joe_kuo_d6_initial_number18097[] = {1, 3, 3, 11, 27, 3, 49, 87, 69, 687, 1181, 3405, 589, 12901, 14199, 48607, 74027, 181379, 0};
static int joe_kuo_d6_initial_number18098[] = {1, 3, 5, 13, 9, 15, 33, 229, 135, 769, 1005, 2435, 4831, 5493, 16745, 64379, 20253, 52661, 0};
static int joe_kuo_d6_initial_number18099[] = {1, 1, 1, 13, 9, 61, 33, 127, 339, 15, 945, 219, 4291, 6995, 29127, 61853, 40741, 170541, 0};
static int joe_kuo_d6_initial_number18100[] = {1, 3, 3, 15, 9, 33, 75, 39, 327, 133, 733, 1125, 2747, 15031, 24575, 65013, 41997, 158679, 0};
static int joe_kuo_d6_initial_number18101[] = {1, 1, 3, 9, 3, 9, 63, 83, 493, 175, 249, 1977, 8177, 4067, 2131, 12467, 86185, 73417, 0};
static int joe_kuo_d6_initial_number18102[] = {1, 1, 3, 13, 29, 55, 91, 109, 73, 913, 1343, 2147, 105, 8763, 7613, 55749, 4339, 61253, 0};
static int joe_kuo_d6_initial_number18103[] = {1, 1, 5, 5, 17, 19, 45, 57, 345, 835, 341, 1365, 5187, 7485, 22685, 32321, 67279, 141119, 0};
static int joe_kuo_d6_initial_number18104[] = {1, 1, 3, 11, 9, 47, 11, 231, 241, 681, 255, 3663, 5547, 997, 2445, 64413, 55349, 61785, 0};
static int joe_kuo_d6_initial_number18105[] = {1, 3, 5, 5, 23, 29, 23, 249, 149, 1011, 173, 271, 485, 1239, 81, 59277, 96669, 210859, 0};
static int joe_kuo_d6_initial_number18106[] = {1, 3, 3, 1, 17, 9, 41, 39, 309, 131, 1431, 1497, 1669, 14191, 22795, 48951, 101731, 70847, 0};
static int joe_kuo_d6_initial_number18107[] = {1, 1, 3, 15, 1, 11, 37, 79, 23, 1023, 585, 127, 7817, 15009, 3897, 44601, 83039, 240457, 0};
static int joe_kuo_d6_initial_number18108[] = {1, 3, 5, 9, 21, 33, 55, 31, 193, 745, 1741, 3637, 7265, 8969, 11797, 33239, 29123, 126077, 0};
static int joe_kuo_d6_initial_number18109[] = {1, 3, 3, 13, 31, 5, 87, 215, 271, 573, 1423, 2611, 947, 14669, 23785, 60579, 127099, 55877, 0};
static int joe_kuo_d6_initial_number18110[] = {1, 3, 1, 13, 5, 53, 103, 85, 237, 457, 739, 1201, 133, 8589, 13471, 6707, 42257, 141989, 0};
static int joe_kuo_d6_initial_number18111[] = {1, 1, 1, 5, 23, 3, 65, 159, 445, 823, 341, 1723, 6263, 9421, 16023, 19145, 52337, 229397, 0};
static int joe_kuo_d6_initial_number18112[] = {1, 3, 5, 3, 15, 3, 15, 251, 407, 137, 951, 1319, 1035, 7713, 29579, 19591, 77841, 84949, 0};
static int joe_kuo_d6_initial_number18113[] = {1, 1, 7, 15, 19, 25, 63, 141, 511, 11, 1027, 1209, 6627, 8127, 14879, 12965, 109973, 144501, 0};
static int joe_kuo_d6_initial_number18114[] = {1, 1, 1, 3, 11, 57, 65, 169, 453, 197, 1249, 2933, 3743, 1971, 19373, 32109, 73265, 46185, 0};
static int joe_kuo_d6_initial_number18115[] = {1, 1, 3, 1, 3, 1, 21, 47, 471, 565, 1795, 1771, 3187, 7189, 18627, 22993, 112319, 158693, 0};
static int joe_kuo_d6_initial_number18116[] = {1, 1, 5, 7, 5, 25, 127, 113, 31, 609, 1273, 2799, 5713, 16091, 22239, 43617, 126003, 218991, 0};
static int joe_kuo_d6_initial_number18117[] = {1, 3, 3, 7, 19, 59, 19, 185, 483, 431, 335, 565, 819, 2555, 18653, 36573, 50085, 31007, 0};
static int joe_kuo_d6_initial_number18118[] = {1, 1, 3, 13, 17, 61, 5, 219, 297, 755, 2005, 391, 4927, 1517, 11341, 9527, 51739, 182599, 0};
static int joe_kuo_d6_initial_number18119[] = {1, 3, 7, 9, 9, 3, 39, 211, 475, 717, 189, 819, 529, 469, 28559, 7321, 60213, 79505, 0};
static int joe_kuo_d6_initial_number18120[] = {1, 3, 1, 9, 17, 39, 53, 65, 247, 145, 9, 1669, 7221, 8359, 11021, 29775, 24693, 208655, 0};
static int joe_kuo_d6_initial_number18121[] = {1, 1, 5, 13, 7, 7, 31, 135, 375, 439, 1419, 3579, 4313, 14057, 31505, 55249, 5345, 69537, 0};
static int joe_kuo_d6_initial_number18122[] = {1, 3, 5, 9, 21, 3, 125, 223, 9, 73, 1693, 281, 3941, 10377, 29365, 19807, 73973, 169113, 0};
static int joe_kuo_d6_initial_number18123[] = {1, 3, 7, 15, 29, 41, 119, 75, 241, 79, 1969, 1091, 6241, 10685, 11579, 3791, 124443, 5051, 0};
static int joe_kuo_d6_initial_number18124[] = {1, 3, 7, 15, 23, 53, 13, 255, 205, 547, 255, 1589, 7261, 15735, 14521, 29679, 109373, 236433, 0};
static int joe_kuo_d6_initial_number18125[] = {1, 3, 7, 3, 17, 37, 71, 163, 95, 265, 1, 3239, 1779, 9047, 31387, 32291, 86741, 55317, 0};
static int joe_kuo_d6_initial_number18126[] = {1, 3, 1, 9, 31, 55, 117, 247, 317, 673, 749, 1155, 7743, 6427, 25273, 49701, 62345, 20913, 0};
static int joe_kuo_d6_initial_number18127[] = {1, 3, 3, 7, 27, 55, 35, 111, 69, 799, 213, 3011, 4359, 14763, 7387, 13281, 58397, 38415, 0};
static int joe_kuo_d6_initial_number18128[] = {1, 1, 5, 9, 5, 61, 49, 219, 419, 297, 1019, 2181, 6069, 12957, 24637, 23317, 6389, 240893, 0};
static int joe_kuo_d6_initial_number18129[] = {1, 1, 5, 15, 13, 57, 59, 43, 373, 647, 1407, 3955, 5583, 15229, 20935, 38007, 65971, 95987, 0};
static int joe_kuo_d6_initial_number18130[] = {1, 1, 7, 7, 23, 17, 77, 91, 449, 75, 1059, 3337, 2041, 261, 25077, 28161, 44537, 189443, 0};
static int joe_kuo_d6_initial_number18131[] = {1, 1, 7, 11, 9, 7, 117, 225, 457, 941, 161, 1825, 1101, 193, 32619, 37245, 102633, 86707, 0};
static int joe_kuo_d6_initial_number18132[] = {1, 1, 1, 7, 13, 43, 33, 137, 275, 691, 1387, 1265, 759, 1457, 4877, 41813, 4159, 234397, 0};
static int joe_kuo_d6_initial_number18133[] = {1, 3, 3, 1, 9, 23, 71, 39, 205, 175, 953, 2965, 3283, 6025, 5905, 34691, 120987, 71841, 0};
static int joe_kuo_d6_initial_number18134[] = {1, 3, 1, 13, 31, 63, 49, 73, 299, 169, 1265, 2205, 1299, 10045, 6919, 26067, 56909, 42549, 0};
static int joe_kuo_d6_initial_number18135[] = {1, 3, 3, 1, 31, 41, 75, 219, 457, 407, 5, 1901, 6823, 531, 3155, 64375, 38523, 68217, 0};
static int joe_kuo_d6_initial_number18136[] = {1, 1, 7, 9, 7, 35, 123, 193, 145, 1021, 757, 3775, 2313, 11885, 11649, 61071, 129363, 120467, 0};
static int joe_kuo_d6_initial_number18137[] = {1, 3, 7, 3, 29, 21, 127, 93, 415, 641, 453, 923, 7713, 9569, 5961, 25969, 31095, 93317, 0};
static int joe_kuo_d6_initial_number18138[] = {1, 3, 3, 1, 5, 15, 21, 235, 211, 663, 385, 2429, 319, 11571, 17539, 42975, 43179, 100105, 0};
static int joe_kuo_d6_initial_number18139[] = {1, 3, 7, 7, 25, 57, 51, 215, 393, 167, 1569, 3235, 5555, 3391, 2389, 36485, 21919, 164479, 0};
static int joe_kuo_d6_initial_number18140[] = {1, 3, 3, 3, 29, 21, 81, 59, 239, 671, 605, 583, 2341, 2321, 28593, 19035, 10209, 36433, 0};
static int joe_kuo_d6_initial_number18141[] = {1, 3, 3, 11, 31, 33, 1, 147, 111, 523, 427, 3545, 111, 8009, 29101, 34549, 122745, 82117, 0};
static int joe_kuo_d6_initial_number18142[] = {1, 3, 5, 15, 19, 37, 97, 141, 387, 523, 467, 1657, 4161, 5505, 18091, 39597, 124423, 74827, 0};
static int joe_kuo_d6_initial_number18143[] = {1, 1, 1, 11, 21, 63, 61, 13, 169, 851, 1863, 3307, 7189, 10791, 22619, 24431, 127781, 14717, 0};
static int joe_kuo_d6_initial_number18144[] = {1, 1, 3, 13, 27, 41, 69, 127, 497, 565, 1489, 277, 2551, 15409, 9885, 187, 101319, 194121, 0};
static int joe_kuo_d6_initial_number18145[] = {1, 1, 7, 7, 17, 45, 1, 139, 347, 503, 1189, 1459, 6117, 14319, 22153, 2915, 91991, 246679, 0};
static int joe_kuo_d6_initial_number18146[] = {1, 3, 3, 3, 9, 41, 25, 199, 327, 295, 945, 2765, 563, 11605, 24267, 37729, 80057, 169479, 0};
static int joe_kuo_d6_initial_number18147[] = {1, 1, 7, 3, 23, 19, 13, 219, 235, 837, 1015, 2071, 2727, 3989, 32539, 26713, 112391, 163943, 0};
static int joe_kuo_d6_initial_number18148[] = {1, 3, 3, 9, 21, 27, 17, 187, 315, 753, 817, 3053, 5961, 973, 23973, 37621, 105637, 247711, 0};
static int joe_kuo_d6_initial_number18149[] = {1, 1, 7, 1, 11, 15, 45, 25, 421, 213, 663, 3829, 469, 15889, 28773, 14323, 107705, 111729, 0};
static int joe_kuo_d6_initial_number18150[] = {1, 1, 1, 7, 7, 7, 51, 189, 457, 95, 1903, 639, 1933, 7409, 22327, 18959, 42679, 158987, 0};
static int joe_kuo_d6_initial_number18151[] = {1, 1, 5, 9, 13, 13, 49, 159, 387, 365, 1799, 2399, 6375, 14965, 32495, 5383, 73479, 5653, 0};
static int joe_kuo_d6_initial_number18152[] = {1, 1, 3, 1, 29, 23, 81, 73, 183, 563, 435, 133, 5731, 6663, 21219, 60007, 101215, 68775, 0};
static int joe_kuo_d6_initial_number18153[] = {1, 1, 7, 11, 31, 47, 43, 159, 221, 745, 1317, 2405, 4563, 4073, 27675, 14225, 114231, 222553, 0};
static int joe_kuo_d6_initial_number18154[] = {1, 1, 1, 5, 11, 63, 105, 99, 413, 81, 771, 547, 1633, 8097, 30431, 31417, 101379, 163575, 0};
static int joe_kuo_d6_initial_number18155[] = {1, 1, 3, 9, 23, 29, 123, 149, 241, 267, 1925, 467, 7743, 4473, 12223, 10521, 86265, 89949, 0};
static int joe_kuo_d6_initial_number18156[] = {1, 3, 5, 1, 31, 29, 111, 67, 311, 851, 1919, 2563, 3725, 4035, 7241, 13859, 105207, 200599, 0};
static int joe_kuo_d6_initial_number18157[] = {1, 3, 7, 3, 19, 53, 113, 107, 133, 243, 2021, 2669, 4633, 14393, 24827, 1233, 81471, 20105, 0};
static int joe_kuo_d6_initial_number18158[] = {1, 1, 1, 5, 3, 23, 43, 149, 157, 875, 1175, 963, 6189, 7343, 13913, 41375, 112857, 236047, 0};
static int joe_kuo_d6_initial_number18159[] = {1, 3, 5, 15, 11, 31, 43, 225, 469, 229, 703, 3033, 2341, 10309, 12057, 13325, 109019, 130789, 0};
static int joe_kuo_d6_initial_number18160[] = {1, 1, 1, 7, 27, 47, 45, 49, 371, 971, 1121, 2179, 1267, 9499, 10771, 28781, 77059, 90765, 0};
static int joe_kuo_d6_initial_number18161[] = {1, 1, 7, 1, 17, 27, 59, 169, 269, 217, 983, 1365, 1985, 12287, 5385, 46407, 24827, 155761, 0};
static int joe_kuo_d6_initial_number18162[] = {1, 1, 7, 11, 9, 5, 19, 205, 159, 937, 763, 3823, 3625, 14209, 32031, 58879, 118449, 50723, 0};
static int joe_kuo_d6_initial_number18163[] = {1, 1, 5, 3, 25, 55, 27, 35, 125, 999, 1541, 3883, 539, 5691, 18071, 63199, 112089, 194825, 0};
static int joe_kuo_d6_initial_number18164[] = {1, 3, 3, 1, 27, 43, 57, 225, 173, 673, 1339, 3433, 5743, 1375, 32429, 35071, 98035, 229973, 0};
static int joe_kuo_d6_initial_number18165[] = {1, 3, 3, 9, 3, 51, 5, 203, 439, 41, 529, 863, 6735, 13211, 7075, 55637, 24481, 46673, 0};
static int joe_kuo_d6_initial_number18166[] = {1, 1, 5, 11, 15, 23, 93, 7, 181, 843, 777, 1299, 1941, 7147, 26253, 10967, 5387, 84611, 0};
static int joe_kuo_d6_initial_number18167[] = {1, 3, 1, 7, 9, 57, 127, 155, 257, 423, 1421, 261, 4477, 11169, 22997, 12371, 8705, 135883, 0};
static int joe_kuo_d6_initial_number18168[] = {1, 3, 1, 9, 17, 9, 15, 209, 427, 889, 1939, 3623, 2587, 4037, 32233, 40391, 32529, 63851, 0};
static int joe_kuo_d6_initial_number18169[] = {1, 3, 3, 13, 3, 19, 49, 155, 213, 239, 817, 1787, 2999, 9955, 20155, 44711, 41367, 59623, 0};
static int joe_kuo_d6_initial_number18170[] = {1, 3, 7, 5, 5, 39, 103, 181, 405, 85, 1997, 3639, 1259, 10737, 189, 44377, 23589, 89371, 0};
static int joe_kuo_d6_initial_number18171[] = {1, 3, 5, 11, 15, 13, 57, 81, 203, 773, 1571, 3235, 6625, 13803, 2091, 64265, 131013, 189705, 0};
static int joe_kuo_d6_initial_number18172[] = {1, 1, 1, 13, 15, 3, 113, 159, 149, 55, 355, 2345, 5043, 4067, 23277, 32647, 43755, 5445, 0};
static int joe_kuo_d6_initial_number18173[] = {1, 3, 3, 9, 31, 7, 67, 177, 423, 269, 1731, 3957, 4383, 13483, 14653, 8243, 57689, 37375, 0};
static int joe_kuo_d6_initial_number18174[] = {1, 1, 3, 5, 25, 5, 77, 199, 161, 859, 497, 1679, 6809, 4877, 1107, 16443, 15505, 138155, 0};
static int joe_kuo_d6_initial_number18175[] = {1, 3, 5, 1, 11, 57, 7, 49, 145, 569, 571, 2679, 7531, 14517, 12425, 6285, 116961, 116397, 0};
static int joe_kuo_d6_initial_number18176[] = {1, 1, 7, 11, 1, 37, 65, 43, 151, 419, 801, 3231, 5321, 10725, 12885, 62771, 16507, 179009, 0};
static int joe_kuo_d6_initial_number18177[] = {1, 1, 5, 11, 29, 55, 89, 81, 325, 47, 1037, 3235, 2017, 10875, 8919, 25115, 118035, 178227, 0};
static int joe_kuo_d6_initial_number18178[] = {1, 3, 1, 7, 1, 43, 101, 25, 449, 617, 381, 3437, 6655, 1291, 18693, 53939, 99143, 195695, 0};
static int joe_kuo_d6_initial_number18179[] = {1, 3, 1, 5, 23, 7, 47, 159, 295, 939, 173, 3087, 1497, 6353, 13893, 13465, 118973, 193737, 0};
static int joe_kuo_d6_initial_number18180[] = {1, 1, 3, 9, 3, 41, 65, 79, 449, 345, 2039, 1193, 5915, 13689, 1257, 23273, 48515, 256793, 0};
static int joe_kuo_d6_initial_number18181[] = {1, 3, 5, 11, 11, 55, 13, 117, 343, 899, 1853, 373, 6885, 12863, 1209, 34433, 48215, 218187, 0};
static int joe_kuo_d6_initial_number18182[] = {1, 3, 7, 7, 3, 45, 103, 145, 55, 507, 743, 4027, 2075, 15707, 4473, 50077, 64551, 204305, 0};
static int joe_kuo_d6_initial_number18183[] = {1, 1, 3, 5, 31, 45, 123, 233, 363, 1003, 411, 1459, 6455, 985, 29451, 17625, 44153, 137097, 0};
static int joe_kuo_d6_initial_number18184[] = {1, 3, 3, 1, 27, 11, 53, 251, 41, 43, 495, 107, 6145, 8785, 28997, 7181, 92903, 105785, 0};
static int joe_kuo_d6_initial_number18185[] = {1, 1, 3, 11, 13, 5, 117, 141, 463, 639, 1857, 2873, 3627, 6081, 18207, 29451, 80909, 73557, 0};
static int joe_kuo_d6_initial_number18186[] = {1, 1, 1, 3, 29, 51, 15, 81, 85, 487, 307, 2481, 2769, 14901, 9407, 58321, 52813, 230393, 0};
static int joe_kuo_d6_initial_number18187[] = {1, 3, 3, 11, 31, 7, 107, 43, 205, 811, 1121, 2757, 2447, 6843, 21347, 9143, 41003, 80507, 0};
static int joe_kuo_d6_initial_number18188[] = {1, 1, 1, 1, 29, 19, 13, 203, 47, 689, 2003, 1477, 7857, 5031, 21781, 5745, 3649, 160389, 0};
static int joe_kuo_d6_initial_number18189[] = {1, 3, 3, 7, 21, 21, 65, 3, 351, 157, 167, 3425, 2395, 9165, 26143, 57221, 127171, 54461, 0};
static int joe_kuo_d6_initial_number18190[] = {1, 3, 1, 15, 13, 13, 65, 53, 305, 719, 181, 709, 5485, 13385, 30287, 52669, 82647, 83851, 0};
static int joe_kuo_d6_initial_number18191[] = {1, 1, 3, 11, 11, 23, 31, 109, 205, 123, 509, 3831, 7771, 7341, 31613, 28035, 38061, 49375, 0};
static int joe_kuo_d6_initial_number18192[] = {1, 3, 3, 3, 15, 33, 47, 159, 321, 589, 393, 3253, 3743, 6161, 445, 33129, 8181, 27793, 0};
static int joe_kuo_d6_initial_number18193[] = {1, 1, 1, 13, 9, 57, 111, 253, 203, 539, 673, 855, 1937, 2699, 25795, 6889, 13531, 63561, 0};
static int joe_kuo_d6_initial_number18194[] = {1, 1, 1, 13, 31, 45, 13, 101, 113, 903, 1699, 2423, 7967, 7957, 20303, 64395, 124447, 33947, 0};
static int joe_kuo_d6_initial_number18195[] = {1, 3, 5, 11, 17, 39, 59, 181, 421, 535, 1445, 3927, 5433, 12885, 12497, 47231, 39819, 46371, 0};
static int joe_kuo_d6_initial_number18196[] = {1, 3, 5, 7, 27, 3, 75, 49, 461, 781, 433, 1767, 6903, 11907, 2063, 55199, 82823, 229405, 0};
static int joe_kuo_d6_initial_number18197[] = {1, 3, 3, 15, 17, 61, 17, 23, 247, 683, 33, 4027, 341, 8069, 2529, 9757, 95653, 12927, 0};
static int joe_kuo_d6_initial_number18198[] = {1, 3, 3, 11, 17, 7, 29, 205, 353, 917, 219, 3509, 7803, 5939, 25111, 45357, 9259, 1549, 0};
static int joe_kuo_d6_initial_number18199[] = {1, 3, 3, 15, 21, 7, 23, 25, 459, 291, 31, 2091, 1177, 9311, 12231, 16617, 33575, 252643, 0};
static int joe_kuo_d6_initial_number18200[] = {1, 3, 5, 5, 3, 51, 113, 123, 453, 503, 1575, 2785, 5011, 1789, 819, 30857, 12955, 172421, 0};
static int joe_kuo_d6_initial_number18201[] = {1, 1, 5, 3, 15, 15, 125, 65, 113, 281, 53, 3417, 5279, 6351, 25931, 54835, 124077, 204241, 0};
static int joe_kuo_d6_initial_number18202[] = {1, 1, 3, 9, 29, 31, 19, 179, 275, 933, 711, 3351, 6221, 1711, 9375, 11645, 118911, 249395, 0};
static int joe_kuo_d6_initial_number18203[] = {1, 3, 7, 13, 23, 59, 43, 61, 85, 267, 691, 3949, 2135, 3203, 21455, 61895, 71157, 136739, 0};
static int joe_kuo_d6_initial_number18204[] = {1, 1, 7, 5, 19, 27, 69, 141, 9, 633, 95, 3789, 7823, 12635, 27661, 30285, 129469, 67163, 0};
static int joe_kuo_d6_initial_number18205[] = {1, 3, 3, 9, 11, 25, 103, 47, 425, 809, 1279, 411, 219, 6703, 24145, 17303, 56835, 84879, 0};
static int joe_kuo_d6_initial_number18206[] = {1, 1, 5, 13, 29, 41, 47, 133, 197, 615, 169, 2157, 1795, 4945, 31693, 57763, 39369, 83353, 0};
static int joe_kuo_d6_initial_number18207[] = {1, 3, 1, 3, 27, 23, 23, 213, 387, 239, 977, 221, 383, 11005, 7221, 8795, 100963, 163777, 0};
static int joe_kuo_d6_initial_number18208[] = {1, 1, 1, 1, 31, 29, 87, 93, 239, 399, 801, 3143, 6973, 16331, 16865, 1823, 1127, 41983, 0};
static int joe_kuo_d6_initial_number18209[] = {1, 1, 3, 13, 7, 39, 25, 251, 277, 417, 119, 3033, 6785, 9783, 1641, 60169, 25047, 182263, 0};
static int joe_kuo_d6_initial_number18210[] = {1, 1, 5, 5, 7, 35, 17, 47, 295, 861, 1671, 1971, 4583, 3925, 31013, 50039, 125191, 143019, 0};
static int joe_kuo_d6_initial_number18211[] = {1, 1, 5, 1, 3, 57, 11, 23, 273, 209, 617, 1499, 665, 1193, 7539, 1625, 48065, 82843, 0};
static int joe_kuo_d6_initial_number18212[] = {1, 1, 3, 15, 15, 17, 39, 145, 193, 503, 1305, 2071, 93, 11529, 14267, 14779, 49327, 51347, 0};
static int joe_kuo_d6_initial_number18213[] = {1, 3, 5, 3, 7, 39, 63, 171, 263, 493, 383, 3209, 4277, 6259, 1345, 48013, 110571, 127865, 0};
static int joe_kuo_d6_initial_number18214[] = {1, 3, 1, 7, 15, 29, 93, 75, 37, 235, 1095, 153, 745, 9785, 28831, 58899, 67091, 34743, 0};
static int joe_kuo_d6_initial_number18215[] = {1, 3, 7, 9, 27, 23, 67, 85, 491, 447, 1899, 709, 555, 13979, 12529, 38383, 16091, 117301, 0};
static int joe_kuo_d6_initial_number18216[] = {1, 1, 5, 3, 9, 55, 109, 173, 29, 19, 1265, 2391, 7761, 1953, 5643, 24079, 14187, 127017, 0};
static int joe_kuo_d6_initial_number18217[] = {1, 3, 7, 13, 21, 57, 105, 145, 73, 421, 403, 5, 3523, 7005, 1109, 63357, 111671, 191857, 0};
static int joe_kuo_d6_initial_number18218[] = {1, 1, 7, 13, 5, 27, 21, 5, 199, 515, 917, 365, 2775, 12453, 26989, 60593, 98977, 161759, 0};
static int joe_kuo_d6_initial_number18219[] = {1, 3, 1, 13, 15, 37, 71, 65, 27, 533, 1311, 2981, 1945, 7183, 5337, 20659, 67355, 185633, 0};
static int joe_kuo_d6_initial_number18220[] = {1, 1, 5, 7, 21, 39, 21, 195, 443, 979, 1033, 1823, 3045, 3023, 31783, 61803, 1023, 119291, 0};
static int joe_kuo_d6_initial_number18221[] = {1, 1, 3, 11, 5, 15, 107, 155, 465, 249, 1845, 357, 2769, 3313, 12335, 16615, 20809, 103469, 0};
static int joe_kuo_d6_initial_number18222[] = {1, 1, 3, 9, 13, 21, 11, 227, 173, 949, 1255, 3257, 601, 10865, 12779, 9173, 87255, 12867, 0};
static int joe_kuo_d6_initial_number18223[] = {1, 3, 3, 15, 3, 41, 97, 141, 385, 23, 1253, 2905, 1523, 7647, 7069, 61143, 101245, 59747, 0};
static int joe_kuo_d6_initial_number18224[] = {1, 3, 1, 3, 7, 35, 117, 93, 357, 741, 1673, 3295, 6809, 547, 22949, 42151, 91241, 16189, 0};
static int joe_kuo_d6_initial_number18225[] = {1, 3, 5, 9, 25, 31, 27, 221, 55, 595, 1513, 3963, 3143, 1189, 19843, 6361, 19575, 231765, 0};
static int joe_kuo_d6_initial_number18226[] = {1, 1, 5, 1, 3, 35, 91, 217, 385, 717, 57, 1471, 3529, 859, 15259, 4411, 54491, 79841, 0};
static int joe_kuo_d6_initial_number18227[] = {1, 1, 5, 9, 29, 47, 111, 89, 469, 975, 513, 1339, 1747, 8839, 30375, 46217, 128191, 95831, 0};
static int joe_kuo_d6_initial_number18228[] = {1, 1, 5, 13, 9, 45, 3, 221, 223, 461, 1353, 3953, 5505, 3139, 3407, 12953, 74487, 209401, 0};
static int joe_kuo_d6_initial_number18229[] = {1, 1, 7, 7, 7, 43, 33, 143, 427, 183, 573, 2881, 7355, 10693, 12841, 14267, 61847, 47689, 0};
static int joe_kuo_d6_initial_number18230[] = {1, 1, 3, 5, 23, 45, 53, 173, 347, 715, 173, 3385, 429, 8143, 2831, 57883, 77245, 37613, 0};
static int joe_kuo_d6_initial_number18231[] = {1, 1, 1, 13, 21, 47, 33, 157, 171, 47, 1981, 2003, 7401, 7687, 10553, 38083, 111901, 30251, 0};
static int joe_kuo_d6_initial_number18232[] = {1, 1, 5, 9, 23, 35, 121, 251, 7, 835, 1561, 1605, 7023, 15645, 14313, 6361, 107973, 211667, 0};
static int joe_kuo_d6_initial_number18233[] = {1, 3, 1, 13, 25, 39, 81, 31, 145, 483, 1587, 3457, 5293, 927, 3529, 22457, 69689, 190371, 0};
static int joe_kuo_d6_initial_number18234[] = {1, 1, 1, 3, 25, 61, 87, 111, 441, 829, 313, 2271, 205, 10187, 3003, 47237, 99899, 200553, 0};
static int joe_kuo_d6_initial_number18235[] = {1, 1, 7, 13, 31, 51, 9, 243, 219, 139, 1703, 2001, 959, 11265, 27897, 9081, 4473, 107737, 0};
static int joe_kuo_d6_initial_number18236[] = {1, 3, 5, 1, 25, 37, 61, 131, 487, 35, 1293, 833, 3847, 11315, 11811, 2763, 2199, 81127, 0};
static int joe_kuo_d6_initial_number18237[] = {1, 3, 7, 7, 31, 33, 87, 111, 429, 809, 173, 1093, 7719, 14307, 5735, 61019, 21223, 26361, 0};
static int joe_kuo_d6_initial_number18238[] = {1, 1, 3, 11, 17, 33, 31, 17, 49, 885, 1279, 2243, 3693, 61, 30909, 35807, 14027, 159225, 0};
static int joe_kuo_d6_initial_number18239[] = {1, 3, 7, 11, 9, 35, 61, 75, 171, 117, 1285, 935, 7271, 3509, 14119, 31065, 58181, 136623, 0};
static int joe_kuo_d6_initial_number18240[] = {1, 1, 3, 15, 3, 43, 93, 221, 239, 783, 37, 4007, 3637, 10461, 18425, 59629, 93781, 252689, 0};
static int joe_kuo_d6_initial_number18241[] = {1, 3, 5, 7, 5, 61, 19, 107, 123, 417, 1655, 2307, 8177, 13617, 17195, 31597, 66241, 107199, 0};
static int joe_kuo_d6_initial_number18242[] = {1, 3, 7, 7, 5, 5, 25, 69, 383, 217, 993, 2719, 3425, 8395, 1125, 10763, 80111, 70421, 0};
static int joe_kuo_d6_initial_number18243[] = {1, 1, 3, 9, 29, 45, 123, 45, 89, 1015, 1703, 4049, 4969, 3801, 23657, 41031, 66415, 34063, 0};
static int joe_kuo_d6_initial_number18244[] = {1, 1, 3, 3, 7, 53, 125, 63, 67, 335, 1937, 1793, 4641, 7115, 10951, 45503, 54723, 177433, 0};
static int joe_kuo_d6_initial_number18245[] = {1, 3, 5, 1, 21, 55, 83, 199, 509, 331, 695, 2133, 1881, 14369, 21687, 2343, 85895, 99255, 0};
static int joe_kuo_d6_initial_number18246[] = {1, 1, 5, 9, 11, 5, 111, 97, 433, 851, 1537, 411, 6629, 5185, 30749, 50017, 46177, 213347, 0};
static int joe_kuo_d6_initial_number18247[] = {1, 3, 3, 1, 7, 21, 95, 229, 311, 605, 1277, 2435, 5053, 3051, 15447, 35479, 2835, 204149, 0};
static int joe_kuo_d6_initial_number18248[] = {1, 3, 5, 9, 31, 27, 79, 201, 329, 735, 1933, 27, 6201, 9375, 24801, 34045, 16227, 61013, 0};
static int joe_kuo_d6_initial_number18249[] = {1, 1, 5, 5, 31, 7, 73, 197, 455, 835, 1845, 2733, 3371, 513, 10495, 43659, 4621, 68969, 0};
static int joe_kuo_d6_initial_number18250[] = {1, 1, 1, 15, 21, 55, 15, 83, 419, 471, 1427, 919, 7125, 7635, 25579, 19493, 37381, 191563, 0};
static int joe_kuo_d6_initial_number18251[] = {1, 1, 7, 3, 15, 35, 25, 73, 295, 507, 719, 3307, 4253, 945, 21005, 24903, 80287, 48885, 0};
static int joe_kuo_d6_initial_number18252[] = {1, 3, 7, 15, 27, 13, 71, 79, 189, 491, 1185, 3007, 4285, 13005, 18973, 33759, 15327, 45595, 0};
static int joe_kuo_d6_initial_number18253[] = {1, 3, 3, 9, 9, 33, 115, 103, 31, 949, 1817, 2865, 1215, 9611, 16019, 7925, 72945, 208301, 0};
static int joe_kuo_d6_initial_number18254[] = {1, 1, 1, 5, 19, 35, 89, 181, 409, 641, 1277, 2201, 2825, 5707, 13463, 34741, 39303, 217803, 0};
static int joe_kuo_d6_initial_number18255[] = {1, 1, 3, 11, 13, 31, 65, 191, 11, 179, 509, 2513, 3861, 13323, 11817, 24901, 53815, 44343, 0};
static int joe_kuo_d6_initial_number18256[] = {1, 3, 1, 5, 5, 57, 97, 25, 83, 177, 1963, 2367, 6703, 13361, 8749, 45533, 87883, 2977, 0};
static int joe_kuo_d6_initial_number18257[] = {1, 3, 5, 3, 15, 41, 113, 145, 39, 509, 81, 1387, 2881, 1441, 75, 28409, 61417, 79393, 0};
static int joe_kuo_d6_initial_number18258[] = {1, 3, 3, 3, 17, 1, 41, 19, 173, 133, 2033, 3637, 7415, 1841, 19497, 42643, 122885, 195301, 0};
static int joe_kuo_d6_initial_number18259[] = {1, 3, 3, 9, 15, 37, 11, 87, 291, 881, 1471, 2469, 6877, 6813, 8273, 1455, 30957, 181887, 0};
static int joe_kuo_d6_initial_number18260[] = {1, 3, 5, 9, 25, 41, 7, 71, 451, 831, 495, 3991, 4173, 4307, 31249, 7253, 57141, 35495, 0};
static int joe_kuo_d6_initial_number18261[] = {1, 1, 7, 9, 15, 39, 29, 193, 327, 837, 991, 3503, 1175, 14965, 18151, 22479, 51127, 159019, 0};
static int joe_kuo_d6_initial_number18262[] = {1, 3, 1, 9, 23, 41, 89, 211, 179, 507, 1005, 613, 8083, 15655, 1927, 23401, 51025, 21589, 0};
static int joe_kuo_d6_initial_number18263[] = {1, 1, 5, 15, 5, 63, 105, 229, 239, 399, 591, 2233, 391, 2871, 29829, 49961, 62045, 190437, 0};
static int joe_kuo_d6_initial_number18264[] = {1, 3, 5, 9, 7, 23, 85, 219, 163, 37, 1881, 589, 4239, 12845, 19993, 57267, 29519, 207597, 0};
static int joe_kuo_d6_initial_number18265[] = {1, 3, 7, 15, 19, 19, 115, 141, 41, 405, 657, 2517, 4231, 10247, 21383, 11479, 52955, 121545, 0};
static int joe_kuo_d6_initial_number18266[] = {1, 3, 1, 7, 23, 33, 65, 229, 287, 739, 1265, 1105, 487, 3801, 5211, 44731, 5359, 103685, 0};
static int joe_kuo_d6_initial_number18267[] = {1, 3, 1, 13, 23, 29, 101, 153, 395, 335, 899, 303, 2073, 15767, 1303, 15539, 12889, 35517, 0};
static int joe_kuo_d6_initial_number18268[] = {1, 1, 5, 11, 5, 63, 41, 53, 99, 339, 563, 2921, 4959, 13941, 13655, 10115, 56867, 42919, 0};
static int joe_kuo_d6_initial_number18269[] = {1, 3, 5, 5, 5, 35, 127, 225, 497, 27, 139, 3269, 3929, 3369, 22697, 19421, 2921, 171927, 0};
static int joe_kuo_d6_initial_number18270[] = {1, 1, 1, 15, 15, 21, 35, 251, 67, 447, 1045, 1173, 2951, 6589, 27261, 36597, 98721, 7205, 0};
static int joe_kuo_d6_initial_number18271[] = {1, 3, 3, 9, 11, 63, 83, 19, 163, 381, 87, 1211, 3007, 4971, 27105, 2341, 21389, 32995, 0};
static int joe_kuo_d6_initial_number18272[] = {1, 1, 3, 3, 21, 19, 63, 65, 505, 987, 1821, 2419, 3195, 2573, 1481, 35279, 45135, 597, 0};
static int joe_kuo_d6_initial_number18273[] = {1, 3, 1, 15, 29, 5, 77, 65, 121, 223, 2009, 593, 7929, 10353, 22301, 25137, 40289, 95847, 0};
static int joe_kuo_d6_initial_number18274[] = {1, 1, 3, 1, 17, 49, 9, 167, 69, 729, 1189, 1191, 1, 12603, 8281, 45193, 1427, 15887, 0};
static int joe_kuo_d6_initial_number18275[] = {1, 1, 3, 7, 17, 5, 11, 217, 505, 317, 505, 1201, 8025, 13255, 12591, 16207, 32387, 242425, 0};
static int joe_kuo_d6_initial_number18276[] = {1, 3, 7, 9, 25, 9, 97, 23, 91, 765, 653, 2689, 2787, 11719, 8455, 24665, 26907, 78525, 0};
static int joe_kuo_d6_initial_number18277[] = {1, 3, 3, 15, 27, 19, 79, 157, 117, 715, 1921, 2453, 499, 13593, 14173, 1993, 110087, 151427, 0};
static int joe_kuo_d6_initial_number18278[] = {1, 3, 1, 13, 5, 43, 59, 21, 451, 863, 533, 1723, 2059, 1611, 10403, 36479, 36999, 109553, 0};
static int joe_kuo_d6_initial_number18279[] = {1, 3, 7, 7, 29, 63, 51, 5, 475, 549, 123, 1949, 5279, 8581, 20053, 52287, 125223, 152299, 0};
static int joe_kuo_d6_initial_number18280[] = {1, 3, 1, 1, 7, 19, 1, 215, 273, 157, 1557, 425, 7549, 12337, 1735, 30917, 116487, 177335, 0};
static int joe_kuo_d6_initial_number18281[] = {1, 1, 1, 1, 7, 47, 61, 191, 73, 551, 1435, 2283, 3191, 8545, 11875, 41389, 17607, 26869, 0};
static int joe_kuo_d6_initial_number18282[] = {1, 1, 7, 9, 13, 61, 109, 121, 365, 223, 1729, 3311, 7249, 10765, 12419, 4235, 64127, 132257, 0};
static int joe_kuo_d6_initial_number18283[] = {1, 1, 3, 13, 17, 25, 65, 49, 417, 311, 141, 1127, 53, 945, 28277, 33347, 96399, 166049, 0};
static int joe_kuo_d6_initial_number18284[] = {1, 3, 7, 9, 5, 21, 93, 203, 467, 805, 115, 1757, 4535, 8687, 10423, 8065, 2955, 20403, 0};
static int joe_kuo_d6_initial_number18285[] = {1, 3, 3, 15, 7, 63, 103, 137, 227, 111, 735, 2139, 4293, 5347, 4131, 63405, 42599, 173299, 0};
static int joe_kuo_d6_initial_number18286[] = {1, 3, 7, 7, 17, 53, 127, 251, 57, 625, 843, 3045, 1319, 10085, 18591, 36115, 104193, 183891, 0};
static int joe_kuo_d6_initial_number18287[] = {1, 3, 7, 1, 31, 57, 107, 253, 207, 739, 1703, 1377, 3807, 10289, 22969, 13087, 2805, 261279, 0};
static int joe_kuo_d6_initial_number18288[] = {1, 1, 5, 5, 5, 59, 59, 63, 77, 663, 1109, 2159, 3725, 12355, 4805, 22433, 81851, 9419, 0};
static int joe_kuo_d6_initial_number18289[] = {1, 1, 7, 15, 1, 1, 101, 101, 295, 311, 447, 3931, 933, 15713, 8919, 7185, 38577, 254203, 0};
static int joe_kuo_d6_initial_number18290[] = {1, 1, 5, 15, 7, 35, 35, 141, 283, 665, 1685, 3875, 495, 1655, 8269, 23493, 1523, 248783, 0};
static int joe_kuo_d6_initial_number18291[] = {1, 1, 5, 9, 27, 35, 25, 57, 285, 469, 1491, 1479, 3705, 11357, 5319, 11575, 116207, 215961, 0};
static int joe_kuo_d6_initial_number18292[] = {1, 3, 5, 11, 7, 41, 67, 161, 73, 777, 247, 823, 6677, 1631, 3431, 2821, 25291, 17633, 0};
static int joe_kuo_d6_initial_number18293[] = {1, 1, 3, 9, 19, 17, 45, 181, 139, 85, 857, 1231, 7167, 2951, 26847, 39113, 51705, 104617, 0};
static int joe_kuo_d6_initial_number18294[] = {1, 3, 5, 1, 5, 55, 101, 209, 1, 47, 1059, 2175, 1549, 8007, 11267, 21863, 125567, 102775, 0};
static int joe_kuo_d6_initial_number18295[] = {1, 3, 3, 15, 15, 21, 79, 85, 427, 963, 1335, 2129, 6831, 6613, 13319, 15781, 3781, 222547, 0};
static int joe_kuo_d6_initial_number18296[] = {1, 3, 3, 13, 19, 63, 25, 123, 1, 215, 139, 1345, 5035, 3107, 14381, 6239, 18481, 202581, 0};
static int joe_kuo_d6_initial_number18297[] = {1, 1, 5, 1, 11, 11, 11, 53, 109, 533, 1113, 177, 609, 15391, 22735, 62229, 103591, 89143, 0};
static int joe_kuo_d6_initial_number18298[] = {1, 1, 5, 15, 3, 21, 115, 223, 167, 441, 277, 2971, 933, 2841, 26893, 48513, 74553, 250413, 0};
static int joe_kuo_d6_initial_number18299[] = {1, 1, 1, 7, 19, 17, 43, 181, 483, 897, 819, 1657, 5539, 8847, 23483, 57605, 104703, 242559, 0};
static int joe_kuo_d6_initial_number18300[] = {1, 3, 5, 11, 3, 63, 3, 129, 45, 981, 45, 845, 1481, 14735, 30451, 16937, 13789, 27107, 0};
static int joe_kuo_d6_initial_number18301[] = {1, 3, 3, 15, 25, 11, 33, 49, 155, 947, 521, 3417, 3299, 1123, 9517, 32127, 117795, 223167, 0};
static int joe_kuo_d6_initial_number18302[] = {1, 3, 5, 15, 3, 35, 27, 37, 287, 541, 727, 2779, 7033, 5189, 21579, 36895, 109645, 123353, 0};
static int joe_kuo_d6_initial_number18303[] = {1, 3, 7, 9, 15, 53, 123, 125, 405, 841, 119, 63, 853, 8693, 1537, 25509, 49345, 54301, 0};
static int joe_kuo_d6_initial_number18304[] = {1, 3, 7, 9, 11, 63, 65, 145, 283, 529, 1553, 883, 3319, 8601, 29379, 26991, 127343, 98701, 0};
static int joe_kuo_d6_initial_number18305[] = {1, 1, 1, 7, 23, 59, 11, 89, 407, 869, 445, 659, 3029, 5465, 5063, 36775, 69089, 205367, 0};
static int joe_kuo_d6_initial_number18306[] = {1, 3, 7, 5, 19, 35, 99, 49, 257, 287, 1113, 2825, 2797, 7283, 31757, 47015, 106987, 82589, 0};
static int joe_kuo_d6_initial_number18307[] = {1, 3, 7, 11, 15, 37, 41, 101, 493, 725, 1091, 503, 2611, 13025, 11071, 39311, 5193, 92127, 0};
static int joe_kuo_d6_initial_number18308[] = {1, 1, 3, 7, 9, 59, 69, 113, 381, 341, 1495, 3169, 5099, 69, 7911, 9721, 84609, 254171, 0};
static int joe_kuo_d6_initial_number18309[] = {1, 3, 5, 7, 21, 19, 75, 71, 7, 617, 1185, 2787, 4147, 16045, 18859, 52347, 66551, 161563, 0};
static int joe_kuo_d6_initial_number18310[] = {1, 3, 5, 3, 27, 39, 17, 205, 425, 3, 1443, 1947, 7645, 10125, 24577, 45373, 38015, 30407, 0};
static int joe_kuo_d6_initial_number18311[] = {1, 3, 3, 11, 1, 57, 105, 251, 65, 389, 1993, 3933, 3093, 1425, 9483, 5953, 13147, 234121, 0};
static int joe_kuo_d6_initial_number18312[] = {1, 3, 3, 3, 1, 27, 105, 45, 435, 393, 609, 291, 545, 4905, 22621, 62115, 78955, 84355, 0};
static int joe_kuo_d6_initial_number18313[] = {1, 3, 7, 9, 1, 15, 91, 183, 301, 223, 1183, 1877, 2141, 5549, 371, 44147, 6771, 136777, 0};
static int joe_kuo_d6_initial_number18314[] = {1, 1, 5, 15, 5, 49, 127, 161, 121, 979, 1247, 3681, 3805, 3363, 11643, 25735, 21193, 111657, 0};
static int joe_kuo_d6_initial_number18315[] = {1, 3, 5, 15, 15, 33, 47, 91, 137, 323, 1577, 3723, 3609, 11533, 4415, 26467, 120947, 200919, 0};
static int joe_kuo_d6_initial_number18316[] = {1, 3, 3, 3, 3, 33, 121, 161, 453, 205, 1815, 65, 5893, 4669, 14377, 10905, 9559, 56359, 0};
static int joe_kuo_d6_initial_number18317[] = {1, 1, 1, 7, 1, 55, 21, 143, 411, 65, 1009, 2989, 133, 7059, 30981, 15417, 2651, 110345, 0};
static int joe_kuo_d6_initial_number18318[] = {1, 1, 3, 7, 19, 25, 91, 241, 193, 903, 661, 665, 7681, 14111, 29197, 51299, 109519, 155827, 0};
static int joe_kuo_d6_initial_number18319[] = {1, 1, 1, 15, 25, 3, 79, 57, 417, 73, 705, 7, 4415, 7699, 28185, 53005, 88547, 7281, 0};
static int joe_kuo_d6_initial_number18320[] = {1, 1, 7, 13, 27, 21, 35, 197, 65, 171, 1773, 393, 3759, 8335, 5987, 20611, 91373, 80715, 0};
static int joe_kuo_d6_initial_number18321[] = {1, 3, 7, 3, 17, 51, 85, 229, 131, 733, 281, 3157, 1283, 10751, 20203, 49955, 23861, 128517, 0};
static int joe_kuo_d6_initial_number18322[] = {1, 1, 5, 15, 3, 27, 35, 87, 391, 509, 1627, 769, 701, 4933, 24597, 9695, 111441, 198493, 0};
static int joe_kuo_d6_initial_number18323[] = {1, 1, 1, 15, 3, 31, 73, 235, 341, 263, 883, 2369, 4887, 4659, 9493, 6763, 130625, 15031, 0};
static int joe_kuo_d6_initial_number18324[] = {1, 3, 1, 15, 1, 11, 63, 79, 389, 355, 619, 1361, 313, 1199, 555, 42213, 81089, 170863, 0};
static int joe_kuo_d6_initial_number18325[] = {1, 3, 1, 15, 21, 27, 1, 179, 19, 241, 1655, 1803, 5413, 5353, 65, 31211, 3501, 27205, 0};
static int joe_kuo_d6_initial_number18326[] = {1, 3, 3, 9, 9, 19, 63, 191, 217, 271, 1453, 2777, 2915, 13291, 31391, 37489, 86435, 22857, 0};
static int joe_kuo_d6_initial_number18327[] = {1, 3, 5, 9, 13, 41, 85, 11, 333, 479, 363, 2591, 697, 8587, 3647, 5741, 21627, 244573, 0};
static int joe_kuo_d6_initial_number18328[] = {1, 1, 3, 1, 5, 61, 83, 229, 193, 977, 677, 2585, 3273, 12035, 2621, 12943, 49293, 37985, 0};
static int joe_kuo_d6_initial_number18329[] = {1, 1, 5, 7, 27, 9, 69, 189, 489, 747, 519, 719, 1493, 13337, 14933, 44359, 11471, 57245, 0};
static int joe_kuo_d6_initial_number18330[] = {1, 3, 5, 1, 5, 17, 75, 89, 417, 367, 57, 1641, 1573, 1819, 31237, 5213, 78821, 149853, 0};
static int joe_kuo_d6_initial_number18331[] = {1, 1, 7, 3, 7, 17, 121, 91, 211, 101, 1145, 3753, 2997, 67, 10755, 11261, 122489, 61679, 0};
static int joe_kuo_d6_initial_number18332[] = {1, 3, 7, 7, 15, 17, 73, 133, 429, 285, 201, 1917, 5677, 1793, 21653, 49729, 68965, 5347, 0};
static int joe_kuo_d6_initial_number18333[] = {1, 3, 3, 13, 23, 17, 49, 249, 71, 169, 619, 843, 2163, 585, 23309, 39509, 68087, 232233, 0};
static int joe_kuo_d6_initial_number18334[] = {1, 1, 7, 15, 23, 15, 19, 227, 89, 719, 1247, 2521, 1509, 7553, 12225, 12865, 100107, 261847, 0};
static int joe_kuo_d6_initial_number18335[] = {1, 1, 5, 3, 23, 17, 117, 5, 401, 57, 1945, 1081, 1269, 5921, 31815, 42341, 112099, 130047, 0};
static int joe_kuo_d6_initial_number18336[] = {1, 1, 1, 1, 9, 5, 87, 203, 211, 1009, 403, 1617, 3969, 2541, 7261, 6989, 16579, 206159, 0};
static int joe_kuo_d6_initial_number18337[] = {1, 3, 7, 9, 5, 13, 93, 191, 79, 631, 1019, 3639, 7137, 13859, 19603, 63263, 82947, 181023, 0};
static int joe_kuo_d6_initial_number18338[] = {1, 1, 5, 11, 25, 17, 85, 51, 61, 311, 517, 2001, 6325, 6831, 10835, 20101, 115241, 15815, 0};
static int joe_kuo_d6_initial_number18339[] = {1, 3, 7, 13, 29, 19, 33, 115, 473, 477, 471, 773, 4097, 11697, 30781, 20843, 27089, 181927, 0};
static int joe_kuo_d6_initial_number18340[] = {1, 3, 5, 5, 21, 27, 3, 239, 45, 335, 505, 149, 3005, 3511, 18037, 31291, 6145, 2913, 0};
static int joe_kuo_d6_initial_number18341[] = {1, 1, 3, 1, 25, 49, 21, 225, 27, 395, 415, 1813, 5727, 7211, 9887, 63533, 99185, 119269, 0};
static int joe_kuo_d6_initial_number18342[] = {1, 3, 3, 5, 15, 53, 127, 195, 81, 895, 587, 561, 5951, 9901, 18117, 37855, 19393, 259031, 0};
static int joe_kuo_d6_initial_number18343[] = {1, 1, 7, 13, 9, 49, 109, 127, 53, 735, 391, 1523, 3759, 10363, 11299, 3203, 89121, 122643, 0};
static int joe_kuo_d6_initial_number18344[] = {1, 1, 5, 3, 13, 3, 21, 247, 259, 557, 977, 1465, 6889, 3879, 4627, 1439, 122809, 248941, 0};
static int joe_kuo_d6_initial_number18345[] = {1, 3, 7, 15, 7, 19, 113, 251, 245, 63, 267, 1873, 6601, 16253, 24643, 7433, 130051, 233047, 0};
static int joe_kuo_d6_initial_number18346[] = {1, 1, 3, 9, 29, 39, 47, 31, 493, 817, 1697, 2139, 1059, 11365, 31653, 56477, 119191, 45509, 0};
static int joe_kuo_d6_initial_number18347[] = {1, 1, 1, 15, 9, 29, 99, 61, 109, 341, 1009, 1551, 897, 13075, 10603, 25153, 65911, 228213, 0};
static int joe_kuo_d6_initial_number18348[] = {1, 3, 7, 7, 29, 47, 57, 85, 263, 767, 1633, 2473, 199, 49, 22287, 33345, 118877, 248435, 0};
static int joe_kuo_d6_initial_number18349[] = {1, 3, 1, 9, 5, 45, 5, 179, 9, 129, 1231, 4075, 7497, 2159, 18101, 31039, 95213, 171913, 0};
static int joe_kuo_d6_initial_number18350[] = {1, 1, 1, 13, 23, 1, 89, 63, 21, 983, 481, 773, 5957, 4823, 4483, 50405, 42979, 243567, 0};
static int joe_kuo_d6_initial_number18351[] = {1, 1, 5, 13, 15, 21, 65, 133, 347, 511, 1887, 743, 7825, 1681, 4857, 49247, 21277, 212995, 0};
static int joe_kuo_d6_initial_number18352[] = {1, 3, 7, 9, 7, 51, 3, 233, 287, 727, 815, 3609, 397, 5721, 16473, 7549, 100455, 136233, 0};
static int joe_kuo_d6_initial_number18353[] = {1, 3, 1, 1, 31, 51, 59, 37, 79, 623, 1219, 2655, 4619, 11967, 11377, 28985, 16069, 188773, 0};
static int joe_kuo_d6_initial_number18354[] = {1, 3, 3, 13, 13, 59, 93, 159, 197, 339, 1633, 1601, 255, 1631, 4989, 12019, 23921, 261273, 0};
static int joe_kuo_d6_initial_number18355[] = {1, 1, 3, 13, 27, 25, 55, 43, 147, 981, 65, 725, 5753, 115, 26125, 25501, 89099, 233419, 0};
static int joe_kuo_d6_initial_number18356[] = {1, 3, 7, 5, 25, 3, 95, 135, 191, 417, 929, 3855, 5829, 3827, 13979, 65367, 63683, 85911, 0};
static int joe_kuo_d6_initial_number18357[] = {1, 3, 5, 1, 7, 63, 45, 187, 355, 735, 1325, 1461, 3869, 2127, 18231, 45891, 24027, 202997, 0};
static int joe_kuo_d6_initial_number18358[] = {1, 3, 7, 13, 19, 47, 89, 229, 253, 659, 355, 3323, 4081, 8243, 32553, 46579, 46431, 53291, 0};
static int joe_kuo_d6_initial_number18359[] = {1, 1, 5, 11, 3, 61, 33, 65, 239, 779, 665, 1337, 6427, 12787, 1495, 27105, 71455, 89715, 0};
static int joe_kuo_d6_initial_number18360[] = {1, 3, 1, 11, 31, 33, 115, 69, 511, 187, 99, 1055, 1065, 9531, 29897, 23897, 80581, 166957, 0};
static int joe_kuo_d6_initial_number18361[] = {1, 1, 7, 13, 19, 1, 13, 241, 89, 761, 425, 3865, 961, 14999, 24175, 19103, 39095, 38899, 0};
static int joe_kuo_d6_initial_number18362[] = {1, 3, 7, 7, 11, 17, 25, 217, 113, 615, 1455, 1409, 5679, 2321, 28687, 8089, 74031, 230559, 0};
static int joe_kuo_d6_initial_number18363[] = {1, 3, 7, 1, 25, 15, 77, 111, 405, 523, 961, 647, 3857, 14355, 27063, 48829, 87913, 254965, 0};
static int joe_kuo_d6_initial_number18364[] = {1, 1, 3, 3, 5, 13, 67, 155, 393, 943, 1875, 1209, 3765, 8627, 15123, 43405, 78473, 146127, 0};
static int joe_kuo_d6_initial_number18365[] = {1, 1, 3, 7, 29, 43, 23, 33, 35, 883, 1859, 1559, 4163, 13277, 16971, 15289, 60305, 56743, 0};
static int joe_kuo_d6_initial_number18366[] = {1, 1, 1, 5, 19, 55, 37, 53, 123, 35, 1477, 1035, 4683, 259, 20079, 37041, 48081, 198685, 0};
static int joe_kuo_d6_initial_number18367[] = {1, 1, 3, 3, 1, 19, 27, 129, 427, 685, 959, 2501, 2761, 9495, 23649, 18789, 54521, 219547, 0};
static int joe_kuo_d6_initial_number18368[] = {1, 1, 7, 1, 31, 11, 65, 171, 229, 11, 1825, 1641, 2731, 11085, 2567, 30831, 20365, 242731, 0};
static int joe_kuo_d6_initial_number18369[] = {1, 1, 1, 13, 13, 5, 21, 175, 265, 271, 133, 407, 3415, 5943, 15385, 12817, 106159, 41859, 0};
static int joe_kuo_d6_initial_number18370[] = {1, 3, 7, 1, 11, 45, 105, 229, 395, 877, 1495, 2113, 1733, 10117, 1125, 9989, 109637, 124517, 0};
static int joe_kuo_d6_initial_number18371[] = {1, 1, 7, 3, 27, 43, 57, 77, 63, 907, 1137, 3333, 189, 15285, 13895, 23773, 73523, 47811, 0};
static int joe_kuo_d6_initial_number18372[] = {1, 3, 3, 11, 17, 19, 81, 197, 73, 897, 515, 3801, 5105, 6987, 10125, 7239, 32339, 124411, 0};
static int joe_kuo_d6_initial_number18373[] = {1, 3, 1, 9, 11, 15, 99, 109, 307, 133, 249, 1463, 5479, 8565, 19489, 13773, 11443, 149799, 0};
static int joe_kuo_d6_initial_number18374[] = {1, 3, 7, 7, 19, 53, 61, 75, 83, 545, 1449, 683, 5845, 8325, 18111, 35941, 51843, 97907, 0};
static int joe_kuo_d6_initial_number18375[] = {1, 1, 1, 3, 31, 23, 37, 187, 207, 51, 439, 3095, 2217, 6393, 9117, 2779, 47331, 118275, 0};
static int joe_kuo_d6_initial_number18376[] = {1, 1, 3, 9, 23, 17, 41, 37, 59, 281, 319, 1333, 6207, 2265, 4445, 50831, 115893, 120491, 0};
static int joe_kuo_d6_initial_number18377[] = {1, 3, 1, 13, 27, 23, 25, 23, 187, 51, 1257, 379, 921, 3801, 24537, 59547, 34191, 184625, 0};
static int joe_kuo_d6_initial_number18378[] = {1, 1, 5, 3, 23, 21, 23, 159, 163, 537, 1589, 2797, 8007, 6767, 31331, 20741, 119969, 174135, 0};
static int joe_kuo_d6_initial_number18379[] = {1, 3, 1, 1, 13, 35, 73, 147, 491, 317, 69, 1069, 5413, 13973, 19741, 44717, 63263, 77145, 0};
static int joe_kuo_d6_initial_number18380[] = {1, 3, 1, 15, 31, 41, 23, 79, 55, 863, 129, 2229, 3395, 1621, 6273, 44521, 100047, 42337, 0};
static int joe_kuo_d6_initial_number18381[] = {1, 3, 7, 3, 7, 5, 79, 1, 191, 227, 1039, 2909, 1085, 3173, 29311, 13861, 124785, 212453, 0};
static int joe_kuo_d6_initial_number18382[] = {1, 3, 1, 5, 13, 9, 99, 213, 61, 201, 889, 1171, 3981, 2091, 31679, 26643, 5611, 154339, 0};
static int joe_kuo_d6_initial_number18383[] = {1, 3, 3, 7, 27, 49, 53, 77, 285, 441, 1669, 2157, 223, 1899, 2725, 36547, 39273, 206653, 0};
static int joe_kuo_d6_initial_number18384[] = {1, 3, 3, 9, 29, 5, 91, 1, 13, 409, 1275, 891, 6557, 5157, 6481, 57381, 87683, 117277, 0};
static int joe_kuo_d6_initial_number18385[] = {1, 3, 3, 1, 11, 7, 13, 69, 9, 1015, 907, 2685, 6665, 16307, 24567, 13191, 9567, 55073, 0};
static int joe_kuo_d6_initial_number18386[] = {1, 3, 1, 5, 19, 15, 65, 13, 503, 427, 1947, 1869, 5857, 823, 20533, 25337, 83551, 128505, 0};
static int joe_kuo_d6_initial_number18387[] = {1, 1, 5, 11, 25, 53, 83, 175, 445, 5, 841, 2773, 4381, 2829, 1927, 63689, 63643, 246629, 0};
static int joe_kuo_d6_initial_number18388[] = {1, 3, 1, 11, 27, 63, 43, 95, 453, 235, 673, 117, 6617, 7589, 5767, 16465, 36961, 39395, 0};
static int joe_kuo_d6_initial_number18389[] = {1, 1, 3, 13, 3, 27, 119, 87, 209, 167, 721, 1499, 1955, 9151, 11649, 29009, 25249, 26125, 0};
static int joe_kuo_d6_initial_number18390[] = {1, 1, 5, 1, 9, 59, 47, 57, 81, 243, 485, 559, 7311, 15119, 9827, 47219, 5941, 16909, 0};
static int joe_kuo_d6_initial_number18391[] = {1, 3, 7, 11, 29, 13, 97, 63, 289, 653, 1811, 835, 801, 13103, 9333, 7785, 111587, 10021, 0};
static int joe_kuo_d6_initial_number18392[] = {1, 3, 3, 1, 27, 61, 73, 165, 279, 239, 865, 517, 7763, 1917, 9839, 20725, 50721, 171351, 0};
static int joe_kuo_d6_initial_number18393[] = {1, 3, 7, 1, 27, 29, 43, 137, 353, 927, 889, 2511, 709, 3309, 967, 18119, 48099, 98139, 0};
static int joe_kuo_d6_initial_number18394[] = {1, 3, 1, 1, 17, 5, 79, 23, 367, 231, 605, 3809, 7557, 14283, 18417, 15775, 107421, 9587, 0};
static int joe_kuo_d6_initial_number18395[] = {1, 1, 1, 7, 25, 9, 93, 41, 165, 509, 661, 2165, 3595, 2555, 11399, 2403, 76179, 176003, 0};
static int joe_kuo_d6_initial_number18396[] = {1, 3, 3, 7, 27, 19, 55, 213, 83, 601, 377, 2381, 6831, 5609, 31321, 26897, 105321, 144705, 0};
static int joe_kuo_d6_initial_number18397[] = {1, 3, 7, 7, 21, 11, 45, 55, 379, 133, 653, 3593, 7481, 15789, 12723, 9697, 20073, 58211, 0};
static int joe_kuo_d6_initial_number18398[] = {1, 3, 5, 1, 1, 57, 89, 159, 461, 719, 1251, 3899, 1063, 10753, 6509, 28391, 129377, 195279, 0};
static int joe_kuo_d6_initial_number18399[] = {1, 3, 7, 7, 5, 39, 59, 81, 27, 169, 1541, 2213, 3631, 11601, 13153, 43221, 14587, 29719, 0};
static int joe_kuo_d6_initial_number18400[] = {1, 1, 1, 1, 3, 29, 103, 125, 35, 455, 255, 3855, 567, 12013, 13285, 44753, 117415, 226285, 0};
static int joe_kuo_d6_initial_number18401[] = {1, 1, 5, 1, 21, 41, 59, 69, 83, 813, 1041, 2559, 1947, 7343, 5291, 39281, 56141, 54487, 0};
static int joe_kuo_d6_initial_number18402[] = {1, 1, 7, 15, 25, 17, 83, 115, 321, 659, 1625, 3253, 281, 6673, 26301, 45647, 92151, 150707, 0};
static int joe_kuo_d6_initial_number18403[] = {1, 1, 5, 15, 9, 19, 83, 167, 325, 869, 501, 483, 2155, 14697, 12755, 54687, 100637, 6791, 0};
static int joe_kuo_d6_initial_number18404[] = {1, 1, 7, 3, 3, 47, 91, 79, 347, 215, 847, 2957, 5881, 5371, 20099, 45603, 29349, 175357, 0};
static int joe_kuo_d6_initial_number18405[] = {1, 3, 1, 3, 13, 43, 101, 235, 505, 289, 691, 673, 5579, 8721, 9639, 18569, 44797, 250887, 0};
static int joe_kuo_d6_initial_number18406[] = {1, 1, 3, 11, 23, 27, 85, 223, 365, 767, 577, 2781, 4179, 12963, 25235, 51021, 84989, 149521, 0};
static int joe_kuo_d6_initial_number18407[] = {1, 1, 1, 1, 9, 51, 13, 129, 393, 725, 1301, 1391, 4693, 4979, 16801, 21361, 122157, 56675, 0};
static int joe_kuo_d6_initial_number18408[] = {1, 3, 5, 11, 7, 21, 97, 97, 17, 915, 255, 155, 3961, 7999, 7493, 52683, 49377, 131663, 0};
static int joe_kuo_d6_initial_number18409[] = {1, 3, 5, 15, 31, 23, 41, 187, 89, 933, 309, 2519, 6595, 13785, 14339, 44393, 64439, 142105, 0};
static int joe_kuo_d6_initial_number18410[] = {1, 1, 1, 11, 13, 57, 29, 249, 467, 863, 77, 3185, 6221, 13109, 32397, 13859, 27331, 35295, 0};
static int joe_kuo_d6_initial_number18411[] = {1, 3, 3, 3, 23, 31, 29, 189, 405, 855, 1597, 3167, 4171, 13801, 12297, 38019, 130141, 135517, 0};
static int joe_kuo_d6_initial_number18412[] = {1, 1, 5, 7, 13, 37, 87, 41, 503, 281, 103, 1997, 3603, 4185, 25331, 55123, 74263, 248695, 0};
static int joe_kuo_d6_initial_number18413[] = {1, 3, 1, 15, 13, 57, 67, 135, 429, 489, 829, 2069, 7657, 15713, 3907, 5819, 114005, 187859, 0};
static int joe_kuo_d6_initial_number18414[] = {1, 1, 3, 1, 23, 43, 93, 63, 5, 435, 1649, 1429, 2923, 9035, 28667, 13991, 74491, 236225, 0};
static int joe_kuo_d6_initial_number18415[] = {1, 3, 3, 7, 19, 29, 37, 143, 443, 955, 1431, 3193, 6023, 2421, 28955, 29171, 126785, 124709, 0};
static int joe_kuo_d6_initial_number18416[] = {1, 3, 7, 7, 23, 45, 59, 101, 25, 711, 1685, 851, 3101, 12273, 10775, 57633, 52739, 244681, 0};
static int joe_kuo_d6_initial_number18417[] = {1, 1, 1, 5, 3, 13, 97, 143, 367, 139, 1535, 873, 8005, 2795, 11103, 3837, 125833, 194903, 0};
static int joe_kuo_d6_initial_number18418[] = {1, 3, 5, 7, 23, 61, 61, 203, 443, 543, 573, 2835, 941, 12315, 18453, 34367, 94359, 132437, 0};
static int joe_kuo_d6_initial_number18419[] = {1, 1, 7, 5, 11, 21, 87, 27, 495, 67, 1267, 2029, 5041, 4133, 18821, 50249, 52397, 101431, 0};
static int joe_kuo_d6_initial_number18420[] = {1, 3, 3, 3, 13, 51, 89, 183, 61, 919, 1841, 373, 7091, 9413, 1227, 44515, 72869, 198769, 0};
static int joe_kuo_d6_initial_number18421[] = {1, 3, 3, 11, 13, 63, 13, 253, 203, 571, 91, 3477, 123, 15353, 7803, 62729, 14337, 252725, 0};
static int joe_kuo_d6_initial_number18422[] = {1, 1, 7, 1, 11, 57, 45, 251, 351, 895, 1813, 3857, 7545, 9739, 32029, 24915, 46261, 8149, 0};
static int joe_kuo_d6_initial_number18423[] = {1, 3, 1, 15, 25, 41, 71, 47, 265, 567, 307, 4079, 1943, 10407, 2999, 6605, 97621, 194711, 0};
static int joe_kuo_d6_initial_number18424[] = {1, 1, 3, 5, 17, 29, 97, 249, 449, 761, 1727, 1533, 7417, 16167, 421, 39075, 1029, 180923, 0};
static int joe_kuo_d6_initial_number18425[] = {1, 1, 1, 3, 11, 27, 67, 227, 131, 453, 951, 3897, 515, 4513, 17361, 50049, 4533, 35953, 0};
static int joe_kuo_d6_initial_number18426[] = {1, 1, 1, 13, 7, 53, 25, 163, 453, 195, 1115, 1019, 3799, 7489, 12419, 15141, 112001, 106459, 0};
static int joe_kuo_d6_initial_number18427[] = {1, 1, 3, 9, 27, 15, 63, 109, 293, 867, 645, 1821, 2867, 9653, 32617, 39617, 125589, 249169, 0};
static int joe_kuo_d6_initial_number18428[] = {1, 1, 7, 5, 19, 17, 15, 105, 65, 143, 961, 493, 7301, 11299, 4549, 49873, 82447, 107, 0};
static int joe_kuo_d6_initial_number18429[] = {1, 1, 7, 1, 31, 21, 19, 61, 255, 815, 421, 3097, 4993, 9709, 11529, 53839, 32653, 137861, 0};
static int joe_kuo_d6_initial_number18430[] = {1, 3, 1, 9, 5, 5, 59, 179, 115, 101, 407, 1143, 309, 843, 31143, 60639, 126659, 111695, 0};
static int joe_kuo_d6_initial_number18431[] = {1, 3, 7, 13, 7, 47, 65, 127, 159, 817, 1029, 2983, 5443, 11087, 10595, 47143, 128353, 195189, 0};
static int joe_kuo_d6_initial_number18432[] = {1, 3, 7, 1, 27, 21, 61, 235, 433, 929, 581, 1925, 8185, 6037, 28859, 16843, 43499, 217091, 0};
static int joe_kuo_d6_initial_number18433[] = {1, 3, 7, 11, 1, 11, 81, 187, 227, 967, 25, 2285, 1251, 10743, 2321, 29029, 89739, 188023, 0};
static int joe_kuo_d6_initial_number18434[] = {1, 3, 5, 11, 21, 25, 57, 201, 89, 965, 1593, 2879, 2469, 13675, 28789, 11407, 13109, 52749, 0};
static int joe_kuo_d6_initial_number18435[] = {1, 3, 3, 3, 19, 25, 87, 3, 127, 881, 645, 207, 1129, 4235, 1533, 52503, 128733, 238679, 0};
static int joe_kuo_d6_initial_number18436[] = {1, 3, 3, 1, 5, 5, 63, 181, 493, 457, 1529, 1795, 219, 10807, 26713, 49673, 47167, 103595, 0};
static int joe_kuo_d6_initial_number18437[] = {1, 1, 3, 3, 1, 31, 65, 79, 473, 257, 1477, 387, 2843, 4031, 8459, 44849, 115157, 8417, 0};
static int joe_kuo_d6_initial_number18438[] = {1, 3, 3, 5, 15, 1, 105, 67, 343, 333, 1961, 649, 5105, 11387, 27437, 35471, 26295, 220309, 0};
static int joe_kuo_d6_initial_number18439[] = {1, 3, 7, 15, 1, 7, 23, 113, 67, 1019, 1793, 3237, 7223, 5691, 6279, 50231, 49393, 84393, 0};
static int joe_kuo_d6_initial_number18440[] = {1, 1, 1, 7, 9, 29, 125, 249, 89, 813, 561, 871, 1957, 1095, 18563, 5257, 39563, 225651, 0};
static int joe_kuo_d6_initial_number18441[] = {1, 1, 1, 15, 17, 11, 51, 191, 217, 617, 793, 3633, 4673, 15463, 10621, 47221, 51611, 155937, 0};
static int joe_kuo_d6_initial_number18442[] = {1, 3, 7, 15, 13, 7, 63, 57, 45, 1005, 685, 2913, 3597, 9933, 14819, 26015, 80023, 60547, 0};
static int joe_kuo_d6_initial_number18443[] = {1, 1, 5, 5, 31, 43, 69, 63, 425, 439, 143, 933, 675, 11301, 31779, 53445, 25143, 213213, 0};
static int joe_kuo_d6_initial_number18444[] = {1, 1, 1, 5, 21, 9, 91, 89, 483, 153, 389, 7, 633, 15527, 21833, 45171, 88331, 150935, 0};
static int joe_kuo_d6_initial_number18445[] = {1, 3, 5, 5, 11, 31, 49, 139, 295, 289, 1623, 3359, 7551, 11285, 25083, 27699, 91869, 237571, 0};
static int joe_kuo_d6_initial_number18446[] = {1, 1, 1, 9, 9, 25, 55, 71, 51, 603, 1901, 2729, 6803, 11135, 5427, 37285, 69141, 262073, 0};
static int joe_kuo_d6_initial_number18447[] = {1, 1, 3, 11, 3, 7, 81, 89, 49, 303, 755, 223, 603, 12525, 26037, 47867, 118871, 238677, 0};
static int joe_kuo_d6_initial_number18448[] = {1, 3, 3, 11, 1, 53, 55, 15, 341, 151, 245, 1979, 3523, 15151, 25075, 21425, 48689, 125391, 0};
static int joe_kuo_d6_initial_number18449[] = {1, 3, 3, 7, 15, 21, 73, 247, 215, 339, 1995, 633, 2557, 5625, 28443, 16413, 34615, 260591, 0};
static int joe_kuo_d6_initial_number18450[] = {1, 3, 5, 1, 1, 59, 21, 247, 403, 15, 1129, 2263, 3361, 10675, 30417, 31285, 69913, 124329, 0};
static int joe_kuo_d6_initial_number18451[] = {1, 1, 5, 1, 17, 3, 103, 107, 333, 191, 345, 3219, 3845, 5953, 26403, 51115, 71623, 52293, 0};
static int joe_kuo_d6_initial_number18452[] = {1, 1, 7, 5, 29, 13, 59, 65, 185, 91, 717, 3179, 1237, 1187, 25485, 40119, 6069, 23567, 0};
static int joe_kuo_d6_initial_number18453[] = {1, 1, 1, 5, 17, 57, 27, 39, 269, 627, 1239, 135, 623, 483, 19229, 51939, 114387, 146431, 0};
static int joe_kuo_d6_initial_number18454[] = {1, 3, 7, 9, 21, 41, 119, 129, 177, 149, 1527, 3639, 4489, 11635, 23007, 59863, 85199, 87795, 0};
static int joe_kuo_d6_initial_number18455[] = {1, 3, 5, 9, 17, 25, 57, 237, 129, 855, 199, 1929, 2793, 4277, 4509, 46301, 32905, 102015, 0};
static int joe_kuo_d6_initial_number18456[] = {1, 1, 7, 1, 15, 23, 3, 131, 475, 347, 1301, 241, 153, 2801, 29271, 1337, 107613, 154105, 0};
static int joe_kuo_d6_initial_number18457[] = {1, 1, 1, 13, 5, 19, 43, 47, 381, 709, 637, 2565, 7503, 10027, 16873, 23511, 101785, 47987, 0};
static int joe_kuo_d6_initial_number18458[] = {1, 1, 5, 13, 31, 15, 125, 97, 361, 819, 121, 2723, 3395, 6943, 5279, 55977, 103559, 134177, 0};
static int joe_kuo_d6_initial_number18459[] = {1, 1, 7, 13, 17, 27, 105, 11, 327, 203, 1355, 1437, 959, 10113, 7405, 43511, 114073, 199463, 0};
static int joe_kuo_d6_initial_number18460[] = {1, 1, 7, 5, 29, 19, 7, 151, 107, 739, 1021, 1287, 6881, 2741, 3407, 13847, 75669, 116015, 0};
static int joe_kuo_d6_initial_number18461[] = {1, 1, 1, 5, 5, 17, 99, 67, 179, 319, 149, 4069, 7811, 3055, 24669, 21635, 68057, 72059, 0};
static int joe_kuo_d6_initial_number18462[] = {1, 3, 1, 11, 3, 3, 103, 45, 431, 159, 1693, 1069, 3403, 6121, 12695, 16565, 29787, 199327, 0};
static int joe_kuo_d6_initial_number18463[] = {1, 1, 5, 5, 5, 35, 97, 9, 7, 703, 1533, 847, 7693, 16041, 13127, 26829, 68801, 205219, 0};
static int joe_kuo_d6_initial_number18464[] = {1, 1, 5, 9, 25, 59, 3, 63, 305, 71, 1429, 1567, 2377, 12611, 9267, 62381, 32373, 187735, 0};
static int joe_kuo_d6_initial_number18465[] = {1, 1, 3, 15, 5, 31, 21, 113, 329, 573, 1975, 1615, 947, 987, 4655, 46803, 100251, 89729, 0};
static int joe_kuo_d6_initial_number18466[] = {1, 1, 5, 9, 15, 63, 83, 5, 71, 191, 1127, 3529, 7325, 1169, 4255, 6715, 42765, 73231, 0};
static int joe_kuo_d6_initial_number18467[] = {1, 3, 3, 9, 11, 1, 1, 23, 97, 967, 1465, 1305, 2073, 3143, 31333, 1409, 95321, 182333, 0};
static int joe_kuo_d6_initial_number18468[] = {1, 3, 5, 13, 21, 53, 47, 105, 75, 721, 239, 3619, 2581, 2063, 21227, 25579, 23729, 20067, 0};
static int joe_kuo_d6_initial_number18469[] = {1, 3, 5, 13, 1, 55, 55, 115, 391, 539, 869, 3347, 189, 11087, 11533, 18747, 25387, 19205, 0};
static int joe_kuo_d6_initial_number18470[] = {1, 3, 1, 15, 25, 57, 81, 27, 379, 635, 1697, 2805, 8071, 11407, 14843, 17593, 20819, 42891, 0};
static int joe_kuo_d6_initial_number18471[] = {1, 3, 5, 11, 1, 59, 51, 187, 11, 211, 1425, 3829, 3193, 15743, 16479, 4205, 108205, 205367, 0};
static int joe_kuo_d6_initial_number18472[] = {1, 1, 1, 5, 7, 7, 59, 85, 63, 509, 897, 2473, 7345, 111, 4431, 55273, 114037, 232541, 0};
static int joe_kuo_d6_initial_number18473[] = {1, 1, 5, 9, 29, 7, 25, 41, 401, 843, 115, 163, 6835, 13943, 5223, 31033, 10813, 250471, 0};
static int joe_kuo_d6_initial_number18474[] = {1, 1, 5, 11, 27, 45, 43, 233, 195, 151, 11, 1539, 4775, 15743, 15507, 26939, 30353, 162929, 0};
static int joe_kuo_d6_initial_number18475[] = {1, 3, 1, 7, 7, 39, 1, 87, 85, 1019, 1711, 2707, 735, 5093, 8231, 25069, 102861, 45751, 0};
static int joe_kuo_d6_initial_number18476[] = {1, 3, 7, 1, 19, 49, 55, 249, 255, 809, 1799, 3475, 7697, 5003, 12437, 52313, 96355, 138537, 0};
static int joe_kuo_d6_initial_number18477[] = {1, 1, 3, 5, 5, 43, 25, 95, 349, 775, 213, 3643, 1355, 7745, 9553, 53367, 123655, 195365, 0};
static int joe_kuo_d6_initial_number18478[] = {1, 1, 1, 1, 19, 53, 39, 105, 449, 447, 147, 2293, 7817, 1503, 31985, 37193, 51039, 209083, 0};
static int joe_kuo_d6_initial_number18479[] = {1, 3, 3, 15, 27, 15, 59, 51, 411, 543, 421, 3595, 2091, 7171, 23595, 33509, 37283, 105719, 0};
static int joe_kuo_d6_initial_number18480[] = {1, 3, 1, 11, 5, 37, 5, 203, 171, 853, 1875, 2735, 4003, 15163, 26193, 36149, 31389, 256631, 0};
static int joe_kuo_d6_initial_number18481[] = {1, 3, 5, 1, 21, 1, 127, 41, 185, 929, 1757, 2711, 2947, 9709, 18401, 45037, 1371, 242397, 0};
static int joe_kuo_d6_initial_number18482[] = {1, 1, 1, 1, 13, 43, 51, 187, 487, 759, 1579, 959, 2499, 4781, 27179, 6839, 43869, 36163, 0};
static int joe_kuo_d6_initial_number18483[] = {1, 3, 1, 15, 5, 3, 101, 25, 181, 107, 1105, 879, 5341, 12215, 21615, 9619, 129591, 108393, 0};
static int joe_kuo_d6_initial_number18484[] = {1, 1, 7, 1, 11, 39, 55, 101, 43, 935, 1703, 1269, 6751, 13723, 7463, 10055, 112971, 72789, 0};
static int joe_kuo_d6_initial_number18485[] = {1, 3, 5, 13, 7, 3, 81, 41, 55, 375, 663, 801, 5051, 14583, 30793, 63897, 127255, 174179, 0};
static int joe_kuo_d6_initial_number18486[] = {1, 3, 1, 7, 19, 31, 53, 29, 313, 57, 1411, 103, 6863, 10673, 4341, 5587, 106059, 222309, 0};
static int joe_kuo_d6_initial_number18487[] = {1, 3, 7, 3, 1, 33, 89, 199, 91, 557, 715, 2715, 4753, 5987, 30355, 13819, 57443, 112179, 0};
static int joe_kuo_d6_initial_number18488[] = {1, 3, 5, 7, 13, 27, 55, 11, 495, 29, 1273, 1727, 3397, 2739, 22907, 46203, 16687, 47385, 0};
static int joe_kuo_d6_initial_number18489[] = {1, 3, 5, 9, 13, 23, 23, 107, 353, 429, 359, 2667, 6137, 7213, 7977, 35903, 118507, 209243, 0};
static int joe_kuo_d6_initial_number18490[] = {1, 3, 1, 13, 9, 7, 37, 135, 377, 753, 1819, 113, 7379, 2795, 10373, 7131, 17845, 246101, 0};
static int joe_kuo_d6_initial_number18491[] = {1, 1, 3, 11, 11, 45, 53, 209, 49, 385, 1573, 1129, 2939, 10949, 413, 59193, 15399, 169355, 0};
static int joe_kuo_d6_initial_number18492[] = {1, 1, 5, 15, 29, 29, 89, 139, 403, 11, 1335, 2601, 3631, 15317, 1707, 3517, 1939, 121997, 0};
static int joe_kuo_d6_initial_number18493[] = {1, 3, 1, 7, 17, 3, 113, 97, 435, 911, 1743, 1649, 4829, 9995, 2873, 17527, 46931, 86199, 0};
static int joe_kuo_d6_initial_number18494[] = {1, 1, 7, 1, 13, 19, 83, 51, 49, 671, 1651, 3443, 2279, 5677, 8859, 41945, 110607, 200469, 0};
static int joe_kuo_d6_initial_number18495[] = {1, 1, 5, 13, 19, 63, 19, 73, 205, 571, 507, 1781, 1489, 5909, 10351, 64607, 67023, 49441, 0};
static int joe_kuo_d6_initial_number18496[] = {1, 1, 3, 5, 13, 35, 107, 63, 489, 69, 1541, 3761, 17, 9317, 20323, 35401, 61451, 116115, 0};
static int joe_kuo_d6_initial_number18497[] = {1, 3, 1, 5, 31, 35, 39, 119, 237, 533, 107, 3235, 4929, 15839, 9309, 50131, 110945, 24739, 0};
static int joe_kuo_d6_initial_number18498[] = {1, 3, 1, 5, 3, 25, 73, 145, 391, 481, 1927, 3071, 4347, 13415, 26723, 51629, 3003, 54575, 0};
static int joe_kuo_d6_initial_number18499[] = {1, 3, 3, 11, 29, 63, 63, 183, 11, 269, 153, 3379, 5603, 14279, 28579, 4653, 98179, 125693, 0};
static int joe_kuo_d6_initial_number18500[] = {1, 1, 5, 15, 1, 51, 101, 69, 177, 233, 213, 2389, 4963, 3391, 13419, 41283, 25667, 187239, 0};
static int joe_kuo_d6_initial_number18501[] = {1, 1, 1, 11, 13, 29, 95, 231, 481, 283, 1323, 521, 4689, 5311, 21949, 31851, 115845, 50433, 0};
static int joe_kuo_d6_initial_number18502[] = {1, 3, 7, 15, 11, 31, 67, 207, 57, 439, 1561, 2167, 673, 6467, 8189, 31783, 5051, 64097, 0};
static int joe_kuo_d6_initial_number18503[] = {1, 1, 7, 9, 17, 57, 77, 85, 119, 149, 211, 2727, 4921, 8701, 23121, 36355, 9179, 68003, 0};
static int joe_kuo_d6_initial_number18504[] = {1, 1, 5, 15, 1, 15, 123, 205, 79, 299, 71, 3413, 7635, 5699, 32393, 10253, 86205, 216015, 0};
static int joe_kuo_d6_initial_number18505[] = {1, 1, 5, 11, 23, 39, 105, 187, 487, 247, 333, 2423, 5643, 8111, 23549, 50153, 122859, 100361, 0};
static int joe_kuo_d6_initial_number18506[] = {1, 1, 1, 9, 11, 33, 65, 125, 67, 743, 1331, 1563, 6333, 11375, 15873, 18137, 52765, 224889, 0};
static int joe_kuo_d6_initial_number18507[] = {1, 3, 5, 9, 15, 17, 81, 165, 3, 609, 635, 2093, 6635, 8647, 25883, 18907, 73333, 80835, 0};
static int joe_kuo_d6_initial_number18508[] = {1, 1, 1, 11, 1, 1, 25, 115, 205, 941, 1917, 1295, 3659, 821, 11355, 1435, 40289, 115627, 0};
static int joe_kuo_d6_initial_number18509[] = {1, 3, 1, 9, 13, 23, 35, 105, 441, 777, 1255, 3315, 1157, 8719, 9939, 38931, 120723, 123201, 0};
static int joe_kuo_d6_initial_number18510[] = {1, 1, 5, 3, 1, 21, 95, 143, 23, 233, 73, 1223, 5619, 8583, 21417, 61971, 74565, 116249, 0};
static int joe_kuo_d6_initial_number18511[] = {1, 1, 7, 7, 23, 35, 21, 201, 441, 623, 419, 2375, 1189, 15681, 29469, 29437, 124525, 241899, 0};
static int joe_kuo_d6_initial_number18512[] = {1, 1, 3, 1, 11, 7, 23, 171, 435, 467, 1811, 63, 3705, 9395, 579, 58305, 86165, 67805, 0};
static int joe_kuo_d6_initial_number18513[] = {1, 3, 1, 3, 13, 11, 107, 243, 163, 79, 815, 1149, 2247, 12411, 30287, 56915, 26939, 85883, 0};
static int joe_kuo_d6_initial_number18514[] = {1, 3, 3, 1, 5, 23, 105, 63, 35, 57, 1815, 3325, 3727, 3623, 7203, 8301, 28073, 190053, 0};
static int joe_kuo_d6_initial_number18515[] = {1, 3, 1, 11, 23, 33, 121, 55, 287, 139, 491, 907, 4237, 17, 20055, 63729, 7517, 151597, 0};
static int joe_kuo_d6_initial_number18516[] = {1, 3, 5, 5, 21, 1, 37, 19, 159, 1013, 27, 2627, 851, 14021, 31311, 5871, 77613, 125311, 0};
static int joe_kuo_d6_initial_number18517[] = {1, 3, 3, 1, 27, 3, 51, 133, 459, 581, 383, 1351, 6149, 15611, 2631, 20797, 65955, 113665, 0};
static int joe_kuo_d6_initial_number18518[] = {1, 3, 1, 11, 23, 61, 75, 217, 283, 405, 767, 1151, 7501, 5553, 113, 48331, 49379, 191473, 0};
static int joe_kuo_d6_initial_number18519[] = {1, 3, 5, 5, 15, 3, 19, 27, 497, 519, 1611, 709, 405, 13329, 27861, 14981, 47197, 173979, 0};
static int joe_kuo_d6_initial_number18520[] = {1, 1, 7, 7, 25, 19, 99, 219, 349, 713, 1421, 3427, 153, 13319, 22415, 48617, 119637, 20835, 0};
static int joe_kuo_d6_initial_number18521[] = {1, 1, 1, 3, 13, 37, 43, 9, 317, 961, 1255, 2975, 2775, 12283, 29941, 57495, 77413, 256695, 0};
static int joe_kuo_d6_initial_number18522[] = {1, 1, 7, 5, 29, 37, 91, 199, 397, 739, 877, 251, 847, 2951, 19497, 57285, 76891, 258711, 0};
static int joe_kuo_d6_initial_number18523[] = {1, 1, 7, 15, 21, 55, 107, 115, 481, 845, 2015, 481, 3823, 14071, 4037, 39687, 62867, 170891, 0};
static int joe_kuo_d6_initial_number18524[] = {1, 3, 3, 1, 17, 51, 81, 195, 189, 455, 1343, 1493, 351, 361, 20289, 37423, 7747, 245861, 0};
static int joe_kuo_d6_initial_number18525[] = {1, 1, 5, 15, 9, 41, 71, 155, 197, 563, 1271, 2227, 2557, 6657, 13565, 8467, 96135, 5903, 0};
static int joe_kuo_d6_initial_number18526[] = {1, 1, 5, 13, 29, 33, 115, 131, 283, 435, 1327, 1113, 4729, 14125, 23743, 40121, 119955, 237453, 0};
static int joe_kuo_d6_initial_number18527[] = {1, 1, 1, 1, 13, 21, 109, 91, 105, 749, 1695, 1123, 4349, 9855, 31565, 64001, 7919, 83591, 0};
static int joe_kuo_d6_initial_number18528[] = {1, 3, 1, 1, 13, 19, 89, 83, 13, 609, 731, 2655, 1123, 13415, 5645, 10003, 69381, 187621, 0};
static int joe_kuo_d6_initial_number18529[] = {1, 3, 1, 15, 3, 37, 1, 139, 11, 917, 1191, 1381, 6035, 13851, 4565, 5427, 117703, 109965, 0};
static int joe_kuo_d6_initial_number18530[] = {1, 1, 5, 3, 17, 37, 15, 115, 19, 65, 1807, 3879, 2709, 9819, 11457, 53705, 14821, 156079, 0};
static int joe_kuo_d6_initial_number18531[] = {1, 1, 7, 13, 17, 29, 105, 77, 127, 457, 1287, 1533, 6879, 4001, 4083, 29523, 81175, 226409, 0};
static int joe_kuo_d6_initial_number18532[] = {1, 3, 1, 5, 5, 59, 21, 253, 459, 733, 409, 3359, 1913, 8893, 16113, 61063, 6511, 22441, 0};
static int joe_kuo_d6_initial_number18533[] = {1, 3, 5, 11, 7, 1, 121, 217, 63, 83, 173, 1869, 7931, 655, 21053, 20703, 116853, 131785, 0};
static int joe_kuo_d6_initial_number18534[] = {1, 1, 7, 7, 5, 13, 41, 57, 1, 17, 649, 233, 2867, 5577, 30553, 7635, 45305, 47979, 0};
static int joe_kuo_d6_initial_number18535[] = {1, 1, 7, 1, 1, 29, 61, 241, 107, 891, 49, 3433, 5045, 143, 22473, 29243, 82625, 184163, 0};
static int joe_kuo_d6_initial_number18536[] = {1, 3, 1, 11, 11, 21, 119, 43, 117, 429, 1569, 637, 67, 9475, 31779, 2237, 122037, 245361, 0};
static int joe_kuo_d6_initial_number18537[] = {1, 1, 7, 1, 31, 61, 9, 179, 467, 153, 1913, 2839, 6255, 12715, 28229, 20189, 3617, 213539, 0};
static int joe_kuo_d6_initial_number18538[] = {1, 1, 7, 13, 25, 61, 9, 109, 331, 577, 21, 1017, 6521, 5991, 26573, 56881, 58455, 169407, 0};
static int joe_kuo_d6_initial_number18539[] = {1, 1, 7, 9, 31, 57, 51, 41, 327, 859, 1295, 1577, 1071, 3277, 11685, 62129, 34111, 174639, 0};
static int joe_kuo_d6_initial_number18540[] = {1, 3, 5, 1, 7, 63, 35, 165, 43, 943, 1545, 3717, 1471, 11579, 29637, 22913, 8867, 12837, 0};
static int joe_kuo_d6_initial_number18541[] = {1, 1, 3, 1, 23, 7, 19, 151, 359, 347, 1085, 3923, 1039, 5149, 6047, 49811, 33099, 247983, 0};
static int joe_kuo_d6_initial_number18542[] = {1, 1, 1, 5, 29, 23, 73, 189, 59, 865, 1499, 1953, 1261, 1071, 26761, 26145, 129427, 223219, 0};
static int joe_kuo_d6_initial_number18543[] = {1, 3, 1, 9, 1, 29, 107, 173, 387, 703, 193, 1965, 6233, 10997, 32697, 31005, 15415, 94345, 0};
static int joe_kuo_d6_initial_number18544[] = {1, 1, 3, 9, 31, 35, 7, 15, 317, 79, 2045, 1455, 1559, 15087, 287, 46665, 37225, 149017, 0};
static int joe_kuo_d6_initial_number18545[] = {1, 1, 5, 13, 17, 27, 11, 107, 47, 803, 1487, 3049, 1171, 6237, 9157, 10037, 122349, 236877, 0};
static int joe_kuo_d6_initial_number18546[] = {1, 1, 7, 9, 21, 35, 53, 139, 165, 73, 1405, 2941, 3553, 11945, 2493, 5743, 63749, 140535, 0};
static int joe_kuo_d6_initial_number18547[] = {1, 3, 7, 11, 7, 57, 41, 187, 483, 499, 687, 117, 4951, 14709, 17025, 23027, 94863, 228465, 0};
static int joe_kuo_d6_initial_number18548[] = {1, 3, 7, 7, 27, 29, 85, 117, 201, 637, 823, 1135, 7595, 3323, 23579, 40759, 25087, 995, 0};
static int joe_kuo_d6_initial_number18549[] = {1, 3, 1, 9, 31, 53, 101, 29, 381, 101, 1939, 1973, 8191, 8155, 13881, 32309, 92907, 239525, 0};
static int joe_kuo_d6_initial_number18550[] = {1, 1, 5, 7, 3, 35, 15, 207, 1, 47, 325, 559, 3377, 3909, 31225, 28367, 63891, 19129, 0};
static int joe_kuo_d6_initial_number18551[] = {1, 1, 1, 5, 31, 61, 117, 211, 127, 969, 73, 1295, 7167, 14881, 9965, 28143, 28161, 131867, 0};
static int joe_kuo_d6_initial_number18552[] = {1, 3, 7, 5, 5, 57, 37, 207, 201, 79, 1151, 3685, 2071, 1751, 5481, 51447, 103437, 154895, 0};
static int joe_kuo_d6_initial_number18553[] = {1, 3, 5, 13, 9, 5, 57, 27, 131, 211, 1481, 2237, 4227, 6927, 18625, 49773, 55399, 15209, 0};
static int joe_kuo_d6_initial_number18554[] = {1, 3, 1, 7, 23, 29, 3, 179, 479, 787, 463, 2041, 2581, 6281, 1657, 51433, 93807, 160047, 0};
static int joe_kuo_d6_initial_number18555[] = {1, 1, 3, 13, 25, 35, 33, 231, 385, 479, 335, 3837, 5517, 13603, 15623, 46737, 42507, 208355, 0};
static int joe_kuo_d6_initial_number18556[] = {1, 1, 7, 9, 3, 25, 51, 125, 213, 175, 1575, 1755, 1843, 14361, 13155, 22445, 55435, 62793, 0};
static int joe_kuo_d6_initial_number18557[] = {1, 1, 1, 7, 25, 3, 21, 7, 309, 547, 19, 471, 2679, 16185, 12149, 41437, 47625, 75113, 0};
static int joe_kuo_d6_initial_number18558[] = {1, 1, 5, 1, 9, 23, 81, 95, 123, 143, 1111, 9, 3501, 11897, 26499, 10009, 48073, 182529, 0};
static int joe_kuo_d6_initial_number18559[] = {1, 3, 1, 1, 1, 17, 15, 157, 129, 1005, 543, 3917, 3493, 6537, 26997, 33217, 7987, 251635, 0};
static int joe_kuo_d6_initial_number18560[] = {1, 3, 1, 13, 11, 41, 9, 19, 173, 751, 491, 1645, 5205, 9907, 28503, 61137, 79727, 200851, 0};
static int joe_kuo_d6_initial_number18561[] = {1, 1, 1, 1, 3, 5, 105, 203, 97, 903, 1507, 2719, 5275, 1023, 29595, 42507, 39893, 151495, 0};
static int joe_kuo_d6_initial_number18562[] = {1, 1, 1, 11, 31, 53, 51, 65, 145, 671, 489, 109, 803, 8541, 4439, 33893, 98495, 114955, 0};
static int joe_kuo_d6_initial_number18563[] = {1, 1, 7, 11, 27, 63, 117, 235, 497, 841, 1461, 3757, 1077, 6997, 9611, 47453, 20197, 176939, 0};
static int joe_kuo_d6_initial_number18564[] = {1, 3, 3, 3, 31, 17, 85, 145, 377, 225, 1033, 3017, 735, 5811, 25503, 25457, 124623, 51713, 0};
static int joe_kuo_d6_initial_number18565[] = {1, 3, 3, 13, 19, 33, 127, 57, 321, 687, 1651, 3321, 5051, 8511, 19609, 49927, 30499, 102613, 0};
static int joe_kuo_d6_initial_number18566[] = {1, 1, 5, 13, 7, 17, 17, 147, 381, 137, 1007, 2607, 1071, 8921, 13955, 47223, 130359, 246265, 0};
static int joe_kuo_d6_initial_number18567[] = {1, 3, 7, 9, 13, 35, 71, 129, 57, 233, 357, 3181, 2841, 3707, 24947, 57777, 115133, 6049, 0};
static int joe_kuo_d6_initial_number18568[] = {1, 3, 7, 15, 23, 1, 107, 225, 57, 633, 1515, 1631, 4303, 4221, 8281, 59139, 45023, 70219, 0};
static int joe_kuo_d6_initial_number18569[] = {1, 1, 7, 5, 9, 9, 93, 131, 41, 245, 1261, 459, 4811, 10987, 10421, 63839, 34067, 196353, 0};
static int joe_kuo_d6_initial_number18570[] = {1, 3, 3, 13, 17, 3, 87, 255, 167, 701, 821, 1965, 1415, 4101, 549, 6347, 92421, 47193, 0};
static int joe_kuo_d6_initial_number18571[] = {1, 3, 7, 11, 23, 17, 51, 81, 71, 345, 971, 917, 1057, 3627, 20361, 13491, 12855, 234215, 0};
static int joe_kuo_d6_initial_number18572[] = {1, 1, 1, 13, 17, 9, 25, 155, 463, 851, 243, 3887, 2445, 7459, 19915, 21813, 86969, 85891, 0};
static int joe_kuo_d6_initial_number18573[] = {1, 1, 7, 1, 9, 15, 57, 201, 193, 169, 351, 1355, 1089, 4705, 15153, 51359, 49907, 66007, 0};
static int joe_kuo_d6_initial_number18574[] = {1, 3, 1, 9, 19, 13, 69, 83, 39, 667, 1549, 1503, 7167, 8657, 17269, 59357, 80091, 194007, 0};
static int joe_kuo_d6_initial_number18575[] = {1, 3, 5, 5, 17, 37, 125, 117, 355, 685, 637, 3159, 4783, 3159, 14953, 12731, 126759, 89149, 0};
static int joe_kuo_d6_initial_number18576[] = {1, 3, 3, 9, 15, 53, 7, 41, 473, 857, 511, 3741, 6837, 6167, 26351, 9885, 104819, 48221, 0};
static int joe_kuo_d6_initial_number18577[] = {1, 3, 7, 15, 21, 21, 21, 101, 465, 223, 13, 1773, 2763, 8621, 23591, 12633, 82143, 134899, 0};
static int joe_kuo_d6_initial_number18578[] = {1, 3, 1, 1, 29, 25, 67, 19, 349, 503, 655, 3567, 97, 6967, 18253, 42755, 33041, 250279, 0};
static int joe_kuo_d6_initial_number18579[] = {1, 1, 7, 9, 17, 1, 7, 165, 255, 613, 579, 127, 7567, 13181, 6255, 1785, 21527, 113815, 0};
static int joe_kuo_d6_initial_number18580[] = {1, 3, 1, 5, 27, 33, 61, 235, 37, 135, 1515, 3611, 1825, 9627, 18805, 37065, 126107, 23223, 0};
static int joe_kuo_d6_initial_number18581[] = {1, 3, 7, 5, 23, 11, 29, 121, 129, 311, 429, 1653, 5789, 7693, 18775, 18189, 97203, 213501, 0};
static int joe_kuo_d6_initial_number18582[] = {1, 3, 7, 3, 29, 61, 87, 197, 43, 509, 5, 3275, 345, 7885, 4381, 22059, 1395, 40125, 0};
static int joe_kuo_d6_initial_number18583[] = {1, 3, 5, 1, 1, 59, 69, 125, 297, 983, 641, 2665, 7045, 8591, 16581, 58657, 119189, 256579, 0};
static int joe_kuo_d6_initial_number18584[] = {1, 3, 7, 7, 7, 53, 65, 181, 149, 987, 1377, 4045, 971, 9827, 17727, 59357, 90975, 27395, 0};
static int joe_kuo_d6_initial_number18585[] = {1, 1, 7, 7, 1, 51, 109, 165, 361, 515, 739, 3709, 6431, 113, 21401, 41743, 53071, 134205, 0};
static int joe_kuo_d6_initial_number18586[] = {1, 3, 1, 13, 5, 51, 107, 99, 135, 163, 1705, 1683, 6221, 1377, 2211, 13379, 22801, 208753, 0};
static int joe_kuo_d6_initial_number18587[] = {1, 3, 5, 11, 11, 39, 49, 45, 503, 549, 821, 4077, 885, 13721, 29673, 28435, 6235, 212071, 0};
static int joe_kuo_d6_initial_number18588[] = {1, 3, 3, 11, 15, 25, 17, 67, 125, 7, 1163, 973, 5325, 12707, 12763, 9481, 21363, 195897, 0};
static int joe_kuo_d6_initial_number18589[] = {1, 1, 7, 9, 17, 19, 15, 13, 107, 919, 461, 343, 1101, 8195, 29293, 61643, 64995, 230469, 0};
static int joe_kuo_d6_initial_number18590[] = {1, 3, 5, 1, 9, 25, 39, 65, 27, 461, 669, 2841, 7973, 11565, 9531, 52235, 6741, 215513, 0};
static int joe_kuo_d6_initial_number18591[] = {1, 3, 3, 1, 7, 57, 101, 199, 37, 79, 2033, 1723, 6877, 2733, 26445, 62625, 21671, 238431, 0};
static int joe_kuo_d6_initial_number18592[] = {1, 1, 1, 9, 27, 31, 125, 199, 331, 611, 523, 407, 747, 9499, 4685, 17805, 43717, 253233, 0};
static int joe_kuo_d6_initial_number18593[] = {1, 1, 3, 7, 29, 7, 7, 153, 339, 337, 701, 2639, 6311, 6375, 26023, 27693, 59733, 260405, 0};
static int joe_kuo_d6_initial_number18594[] = {1, 1, 7, 7, 15, 27, 23, 49, 181, 433, 485, 2915, 6021, 9095, 15951, 47257, 104513, 208089, 0};
static int joe_kuo_d6_initial_number18595[] = {1, 1, 5, 7, 19, 19, 125, 153, 109, 829, 1967, 2567, 7157, 6001, 10151, 55323, 92405, 82549, 0};
static int joe_kuo_d6_initial_number18596[] = {1, 1, 3, 11, 13, 17, 85, 215, 265, 875, 311, 3773, 8059, 2115, 19259, 63999, 77411, 220267, 0};
static int joe_kuo_d6_initial_number18597[] = {1, 3, 1, 15, 15, 35, 81, 213, 411, 435, 105, 1487, 1991, 14539, 8175, 2115, 47259, 45893, 0};
static int joe_kuo_d6_initial_number18598[] = {1, 3, 1, 11, 9, 47, 27, 115, 449, 521, 321, 2463, 1355, 5785, 11269, 45337, 29049, 91675, 0};
static int joe_kuo_d6_initial_number18599[] = {1, 3, 1, 13, 21, 53, 49, 83, 373, 519, 757, 1241, 577, 14443, 449, 44773, 116673, 155209, 0};
static int joe_kuo_d6_initial_number18600[] = {1, 3, 3, 1, 29, 63, 97, 145, 371, 585, 1809, 3997, 249, 283, 28369, 27325, 61673, 12637, 0};
static int joe_kuo_d6_initial_number18601[] = {1, 3, 5, 9, 11, 55, 77, 89, 285, 297, 861, 2791, 3245, 15093, 32489, 40477, 97603, 35347, 0};
static int joe_kuo_d6_initial_number18602[] = {1, 1, 1, 3, 27, 33, 115, 209, 169, 893, 393, 1457, 6069, 12511, 20423, 11385, 86711, 197555, 0};
static int joe_kuo_d6_initial_number18603[] = {1, 3, 5, 15, 21, 25, 87, 159, 477, 177, 991, 495, 29, 9347, 9721, 4071, 30145, 214155, 0};
static int joe_kuo_d6_initial_number18604[] = {1, 1, 5, 3, 11, 45, 53, 251, 177, 651, 549, 3377, 3247, 8761, 20339, 27743, 103387, 159591, 0};
static int joe_kuo_d6_initial_number18605[] = {1, 3, 7, 11, 17, 27, 43, 179, 507, 553, 261, 3939, 6133, 6347, 12987, 46071, 42551, 99225, 0};
static int joe_kuo_d6_initial_number18606[] = {1, 3, 3, 11, 3, 33, 85, 51, 277, 117, 1295, 2435, 1467, 13787, 2209, 52673, 53515, 157625, 0};
static int joe_kuo_d6_initial_number18607[] = {1, 3, 3, 3, 9, 15, 121, 229, 227, 795, 541, 3727, 4333, 2251, 27833, 43567, 82505, 230427, 0};
static int joe_kuo_d6_initial_number18608[] = {1, 1, 5, 13, 29, 19, 119, 63, 207, 945, 761, 2601, 1391, 8939, 11683, 52433, 63301, 82501, 0};
static int joe_kuo_d6_initial_number18609[] = {1, 3, 7, 1, 3, 57, 127, 115, 209, 31, 1631, 347, 3937, 4015, 13313, 49507, 15103, 237071, 0};
static int joe_kuo_d6_initial_number18610[] = {1, 3, 1, 13, 3, 25, 85, 151, 115, 385, 303, 2453, 2417, 8051, 1447, 59517, 3711, 160345, 0};
static int joe_kuo_d6_initial_number18611[] = {1, 3, 1, 13, 1, 23, 49, 75, 117, 295, 1737, 2091, 6229, 3157, 32737, 13751, 101667, 96261, 0};
static int joe_kuo_d6_initial_number18612[] = {1, 3, 3, 5, 27, 19, 103, 201, 65, 757, 1847, 239, 2185, 15139, 8883, 17737, 9207, 147663, 0};
static int joe_kuo_d6_initial_number18613[] = {1, 3, 1, 9, 3, 39, 51, 1, 419, 929, 1049, 2891, 2585, 2759, 27587, 55711, 15461, 46851, 0};
static int joe_kuo_d6_initial_number18614[] = {1, 1, 5, 3, 23, 23, 23, 101, 249, 997, 1889, 2293, 5693, 939, 29619, 2775, 49293, 168895, 0};
static int joe_kuo_d6_initial_number18615[] = {1, 3, 1, 15, 9, 63, 17, 97, 385, 517, 1737, 713, 157, 2597, 20889, 35209, 47525, 14389, 0};
static int joe_kuo_d6_initial_number18616[] = {1, 3, 1, 1, 7, 27, 9, 147, 349, 493, 341, 2699, 7743, 4283, 24691, 11881, 78619, 153899, 0};
static int joe_kuo_d6_initial_number18617[] = {1, 3, 1, 9, 15, 25, 103, 177, 485, 355, 1319, 767, 6675, 3425, 7187, 53767, 92023, 151523, 0};
static int joe_kuo_d6_initial_number18618[] = {1, 1, 3, 3, 15, 35, 25, 177, 295, 5, 661, 3651, 2597, 16229, 1343, 54941, 72047, 169155, 0};
static int joe_kuo_d6_initial_number18619[] = {1, 1, 1, 1, 19, 29, 63, 229, 79, 551, 1401, 2851, 6935, 12485, 9243, 21671, 54209, 105347, 0};
static int joe_kuo_d6_initial_number18620[] = {1, 1, 3, 1, 13, 33, 53, 125, 261, 623, 65, 3863, 1899, 2453, 16483, 48655, 50771, 248555, 0};
static int joe_kuo_d6_initial_number18621[] = {1, 3, 5, 7, 25, 15, 107, 149, 485, 247, 1977, 3125, 4663, 4925, 15749, 39429, 52315, 30545, 0};
static int joe_kuo_d6_initial_number18622[] = {1, 1, 7, 13, 23, 13, 127, 111, 9, 17, 1887, 1341, 3017, 14333, 6003, 35113, 14935, 17593, 0};
static int joe_kuo_d6_initial_number18623[] = {1, 1, 1, 15, 23, 17, 111, 43, 71, 549, 1369, 1711, 3903, 13605, 14573, 18973, 28157, 128421, 0};
static int joe_kuo_d6_initial_number18624[] = {1, 1, 7, 15, 27, 23, 5, 99, 87, 865, 1979, 3287, 3977, 14989, 17439, 14593, 92711, 211259, 0};
static int joe_kuo_d6_initial_number18625[] = {1, 3, 3, 15, 5, 19, 3, 231, 127, 863, 1537, 369, 7915, 10281, 13925, 12931, 3905, 178609, 0};
static int joe_kuo_d6_initial_number18626[] = {1, 1, 3, 15, 13, 5, 17, 217, 383, 251, 1701, 3379, 8157, 4991, 8563, 24611, 66081, 205775, 0};
static int joe_kuo_d6_initial_number18627[] = {1, 3, 7, 11, 9, 25, 73, 131, 217, 601, 843, 807, 4509, 16209, 29581, 50869, 56595, 14283, 0};
static int joe_kuo_d6_initial_number18628[] = {1, 3, 5, 9, 5, 59, 57, 153, 359, 775, 859, 1897, 6415, 7389, 10851, 64247, 21627, 145017, 0};
static int joe_kuo_d6_initial_number18629[] = {1, 3, 7, 1, 27, 11, 117, 179, 175, 343, 687, 2775, 3655, 11655, 2641, 355, 83447, 237799, 0};
static int joe_kuo_d6_initial_number18630[] = {1, 1, 7, 11, 17, 59, 91, 21, 403, 797, 1839, 525, 3279, 6575, 30083, 12503, 83057, 109465, 0};
static int joe_kuo_d6_initial_number18631[] = {1, 3, 7, 1, 25, 27, 41, 223, 169, 679, 699, 3287, 6305, 6459, 23145, 45519, 127487, 183563, 0};
static int joe_kuo_d6_initial_number18632[] = {1, 3, 3, 1, 9, 45, 105, 57, 185, 97, 899, 3113, 7081, 7057, 14559, 53537, 105623, 155399, 0};
static int joe_kuo_d6_initial_number18633[] = {1, 3, 7, 5, 17, 35, 89, 13, 87, 587, 451, 4079, 1005, 4311, 15861, 49977, 59653, 12107, 0};
static int joe_kuo_d6_initial_number18634[] = {1, 3, 7, 3, 19, 55, 43, 77, 317, 369, 71, 937, 1905, 5005, 17715, 4005, 55445, 25159, 0};
static int joe_kuo_d6_initial_number18635[] = {1, 1, 7, 15, 15, 51, 87, 37, 59, 755, 763, 455, 711, 13399, 30999, 61269, 66037, 202793, 0};
static int joe_kuo_d6_initial_number18636[] = {1, 1, 3, 5, 11, 57, 111, 135, 325, 553, 273, 1533, 3431, 6427, 24771, 42143, 56711, 220873, 0};
static int joe_kuo_d6_initial_number18637[] = {1, 1, 1, 13, 3, 49, 53, 81, 491, 177, 1543, 1847, 7907, 7817, 15417, 9897, 101597, 160195, 0};
static int joe_kuo_d6_initial_number18638[] = {1, 3, 1, 15, 19, 15, 91, 123, 365, 113, 129, 3371, 5789, 13553, 6887, 62317, 84269, 44777, 0};
static int joe_kuo_d6_initial_number18639[] = {1, 3, 7, 13, 15, 63, 43, 175, 449, 437, 597, 1371, 5101, 13797, 28025, 15809, 7645, 21169, 0};
static int joe_kuo_d6_initial_number18640[] = {1, 1, 7, 13, 23, 63, 105, 69, 219, 153, 1539, 1537, 6899, 9363, 27459, 34551, 62563, 236679, 0};
static int joe_kuo_d6_initial_number18641[] = {1, 3, 7, 3, 9, 33, 3, 101, 135, 571, 127, 3881, 7017, 13403, 13817, 55167, 8645, 471, 0};
static int joe_kuo_d6_initial_number18642[] = {1, 3, 3, 13, 7, 53, 29, 89, 473, 135, 639, 3137, 93, 965, 4867, 58265, 114963, 175295, 0};
static int joe_kuo_d6_initial_number18643[] = {1, 3, 1, 1, 9, 11, 45, 123, 129, 441, 1601, 39, 4657, 3701, 29581, 16045, 57173, 75195, 0};
static int joe_kuo_d6_initial_number18644[] = {1, 1, 3, 11, 7, 21, 9, 73, 25, 891, 1625, 3019, 223, 14351, 30621, 3075, 79051, 178127, 0};
static int joe_kuo_d6_initial_number18645[] = {1, 1, 7, 3, 7, 43, 69, 209, 9, 857, 1539, 2629, 5277, 14583, 16443, 28275, 54143, 206479, 0};
static int joe_kuo_d6_initial_number18646[] = {1, 3, 5, 9, 27, 15, 109, 237, 323, 103, 837, 597, 3609, 6249, 795, 37191, 20997, 142079, 0};
static int joe_kuo_d6_initial_number18647[] = {1, 1, 3, 1, 27, 33, 123, 191, 55, 531, 1707, 2633, 6717, 9645, 21377, 51593, 9017, 178185, 0};
static int joe_kuo_d6_initial_number18648[] = {1, 1, 5, 15, 3, 3, 67, 225, 229, 161, 2039, 1499, 873, 8803, 29901, 58809, 35625, 207797, 0};
static int joe_kuo_d6_initial_number18649[] = {1, 3, 3, 7, 3, 47, 99, 237, 221, 31, 1043, 1081, 837, 1617, 17323, 43879, 55615, 238537, 0};
static int joe_kuo_d6_initial_number18650[] = {1, 3, 7, 1, 17, 37, 45, 211, 245, 657, 221, 1067, 1683, 16127, 585, 9067, 25935, 162469, 0};
static int joe_kuo_d6_initial_number18651[] = {1, 1, 5, 9, 23, 27, 5, 237, 137, 227, 129, 279, 4171, 5963, 349, 12387, 40701, 177255, 0};
static int joe_kuo_d6_initial_number18652[] = {1, 3, 7, 15, 17, 11, 95, 69, 49, 901, 509, 2541, 3001, 15501, 24235, 39863, 95381, 260793, 0};
static int joe_kuo_d6_initial_number18653[] = {1, 3, 3, 3, 29, 3, 125, 3, 423, 609, 1401, 2337, 1093, 11419, 29735, 9033, 115977, 210201, 0};
static int joe_kuo_d6_initial_number18654[] = {1, 1, 1, 9, 11, 21, 71, 33, 399, 1005, 1691, 1501, 2585, 7361, 21527, 7535, 87091, 192319, 0};
static int joe_kuo_d6_initial_number18655[] = {1, 1, 1, 11, 5, 49, 65, 115, 239, 255, 381, 2803, 3447, 5775, 18243, 16545, 108901, 81355, 0};
static int joe_kuo_d6_initial_number18656[] = {1, 3, 7, 15, 31, 5, 81, 213, 281, 903, 189, 1807, 3551, 4423, 3591, 27449, 71659, 255357, 0};
static int joe_kuo_d6_initial_number18657[] = {1, 1, 1, 15, 11, 1, 25, 213, 259, 215, 435, 3531, 4889, 9509, 21391, 21589, 89871, 85895, 0};
static int joe_kuo_d6_initial_number18658[] = {1, 3, 3, 9, 29, 29, 37, 127, 419, 631, 1793, 1547, 1463, 13265, 17233, 24627, 3687, 174179, 0};
static int joe_kuo_d6_initial_number18659[] = {1, 1, 1, 7, 27, 61, 105, 135, 439, 161, 721, 2779, 6731, 14575, 4565, 25869, 38981, 191683, 0};
static int joe_kuo_d6_initial_number18660[] = {1, 1, 7, 13, 21, 41, 43, 5, 313, 407, 505, 231, 5023, 8971, 15825, 38461, 38797, 136027, 0};
static int joe_kuo_d6_initial_number18661[] = {1, 3, 7, 3, 7, 59, 11, 255, 327, 843, 1179, 889, 4505, 10891, 7901, 14485, 72297, 255985, 0};
static int joe_kuo_d6_initial_number18662[] = {1, 1, 5, 3, 9, 37, 89, 59, 413, 51, 515, 4009, 6501, 8443, 14381, 60917, 43567, 234431, 0};
static int joe_kuo_d6_initial_number18663[] = {1, 1, 3, 9, 9, 57, 65, 205, 367, 935, 1975, 2561, 225, 12529, 4721, 56659, 87901, 219641, 0};
static int joe_kuo_d6_initial_number18664[] = {1, 3, 7, 15, 23, 55, 61, 15, 89, 267, 1245, 2703, 7471, 10499, 19, 19357, 72413, 199289, 0};
static int joe_kuo_d6_initial_number18665[] = {1, 1, 1, 13, 1, 29, 65, 11, 353, 509, 1831, 2181, 5265, 14761, 913, 17109, 113613, 37143, 0};
static int joe_kuo_d6_initial_number18666[] = {1, 1, 7, 5, 17, 37, 97, 249, 169, 223, 475, 2091, 3101, 8541, 325, 42359, 16121, 151739, 0};
static int joe_kuo_d6_initial_number18667[] = {1, 1, 3, 13, 1, 45, 13, 209, 395, 215, 15, 2287, 5365, 9887, 29799, 51957, 97483, 109467, 0};
static int joe_kuo_d6_initial_number18668[] = {1, 3, 7, 1, 9, 35, 91, 51, 387, 833, 783, 2483, 3743, 6155, 5881, 3047, 86191, 151867, 0};
static int joe_kuo_d6_initial_number18669[] = {1, 1, 1, 7, 15, 25, 13, 3, 119, 333, 761, 3459, 2555, 15737, 12945, 15225, 45487, 78235, 0};
static int joe_kuo_d6_initial_number18670[] = {1, 3, 1, 3, 13, 55, 111, 45, 121, 593, 633, 2705, 1653, 13275, 13533, 3559, 100573, 124363, 0};
static int joe_kuo_d6_initial_number18671[] = {1, 1, 3, 1, 29, 49, 65, 69, 133, 667, 653, 2559, 6335, 8019, 9251, 5415, 90125, 197413, 0};
static int joe_kuo_d6_initial_number18672[] = {1, 1, 1, 7, 23, 53, 99, 149, 39, 453, 129, 185, 1143, 12799, 23339, 41293, 94023, 105581, 0};
static int joe_kuo_d6_initial_number18673[] = {1, 3, 3, 13, 5, 3, 5, 215, 425, 455, 421, 3815, 5983, 3851, 19569, 17363, 6411, 60037, 0};
static int joe_kuo_d6_initial_number18674[] = {1, 3, 7, 1, 29, 7, 63, 207, 299, 17, 1915, 2041, 8129, 661, 32481, 55475, 72027, 239683, 0};
static int joe_kuo_d6_initial_number18675[] = {1, 1, 5, 13, 29, 11, 39, 177, 177, 479, 1291, 3931, 4353, 327, 7827, 9529, 6967, 6469, 0};
static int joe_kuo_d6_initial_number18676[] = {1, 1, 5, 3, 25, 39, 121, 15, 7, 715, 583, 3997, 1373, 7747, 1777, 7269, 105333, 201511, 0};
static int joe_kuo_d6_initial_number18677[] = {1, 3, 3, 9, 11, 7, 81, 109, 129, 359, 1281, 1163, 4895, 10303, 17801, 43461, 120271, 173027, 0};
static int joe_kuo_d6_initial_number18678[] = {1, 3, 5, 1, 23, 59, 123, 75, 505, 925, 637, 1713, 995, 14031, 13711, 62569, 90553, 242345, 0};
static int joe_kuo_d6_initial_number18679[] = {1, 3, 3, 15, 19, 11, 39, 203, 229, 619, 735, 1367, 4963, 5263, 30229, 17847, 9623, 3277, 0};
static int joe_kuo_d6_initial_number18680[] = {1, 1, 7, 13, 5, 27, 23, 223, 377, 335, 1821, 2481, 4111, 10373, 18423, 7237, 75225, 223433, 0};
static int joe_kuo_d6_initial_number18681[] = {1, 3, 7, 1, 21, 19, 71, 107, 19, 703, 945, 3831, 1099, 6267, 17489, 27665, 8861, 127499, 0};
static int joe_kuo_d6_initial_number18682[] = {1, 3, 5, 1, 19, 49, 117, 181, 245, 939, 1279, 3127, 4427, 3061, 23399, 64805, 43077, 100789, 0};
static int joe_kuo_d6_initial_number18683[] = {1, 1, 3, 3, 31, 55, 53, 205, 97, 645, 215, 2617, 7419, 7159, 27373, 62341, 58121, 248677, 0};
static int joe_kuo_d6_initial_number18684[] = {1, 1, 7, 5, 15, 41, 99, 75, 201, 187, 197, 3773, 3097, 6803, 5307, 31375, 26743, 142723, 0};
static int joe_kuo_d6_initial_number18685[] = {1, 3, 5, 11, 23, 61, 127, 15, 89, 245, 1345, 1305, 5937, 15917, 23867, 50319, 91921, 248663, 0};
static int joe_kuo_d6_initial_number18686[] = {1, 1, 3, 9, 27, 7, 1, 75, 181, 155, 1947, 577, 2975, 8855, 5295, 43403, 112497, 100679, 0};
static int joe_kuo_d6_initial_number18687[] = {1, 1, 1, 11, 29, 61, 35, 241, 207, 73, 1747, 1797, 3665, 14275, 25359, 28685, 79367, 81819, 0};
static int joe_kuo_d6_initial_number18688[] = {1, 3, 5, 9, 11, 1, 37, 79, 431, 157, 1979, 159, 3087, 1731, 26141, 31411, 56457, 94293, 0};
static int joe_kuo_d6_initial_number18689[] = {1, 3, 7, 1, 17, 35, 107, 243, 279, 79, 227, 1275, 761, 11485, 22181, 16415, 68801, 4577, 0};
static int joe_kuo_d6_initial_number18690[] = {1, 3, 1, 9, 21, 43, 115, 131, 129, 123, 1677, 1875, 7355, 15927, 845, 24101, 48985, 39703, 0};
static int joe_kuo_d6_initial_number18691[] = {1, 1, 7, 3, 17, 25, 105, 189, 317, 109, 1629, 3103, 615, 1047, 621, 62743, 43631, 9811, 0};
static int joe_kuo_d6_initial_number18692[] = {1, 3, 1, 3, 3, 45, 49, 73, 383, 761, 685, 3211, 3855, 16307, 30469, 1393, 52535, 165503, 0};
static int joe_kuo_d6_initial_number18693[] = {1, 3, 5, 15, 1, 41, 89, 105, 213, 33, 1477, 711, 4823, 503, 12533, 56781, 42825, 223399, 0};
static int joe_kuo_d6_initial_number18694[] = {1, 3, 5, 9, 17, 45, 63, 113, 359, 927, 1467, 2811, 4275, 5193, 6023, 32689, 87747, 234697, 0};
static int joe_kuo_d6_initial_number18695[] = {1, 1, 3, 1, 21, 49, 73, 157, 97, 915, 1689, 3289, 7515, 10759, 32253, 63175, 66175, 125813, 0};
static int joe_kuo_d6_initial_number18696[] = {1, 1, 1, 5, 19, 1, 127, 229, 453, 617, 511, 1515, 3815, 3125, 26851, 31635, 35389, 237483, 0};
static int joe_kuo_d6_initial_number18697[] = {1, 1, 1, 13, 27, 61, 75, 23, 289, 133, 975, 3217, 3777, 12095, 15235, 33845, 125503, 88417, 0};
static int joe_kuo_d6_initial_number18698[] = {1, 1, 3, 13, 27, 49, 29, 115, 221, 995, 1305, 2717, 2243, 13391, 20841, 863, 63195, 46829, 0};
static int joe_kuo_d6_initial_number18699[] = {1, 3, 1, 11, 31, 49, 43, 163, 503, 123, 657, 1285, 3695, 8401, 17087, 48289, 3947, 41495, 0};
static int joe_kuo_d6_initial_number18700[] = {1, 3, 7, 9, 21, 17, 125, 75, 395, 979, 781, 2501, 6511, 4619, 28943, 18295, 87547, 196289, 0};
static int joe_kuo_d6_initial_number18701[] = {1, 3, 3, 5, 3, 39, 107, 199, 7, 331, 77, 511, 5787, 3155, 29605, 44633, 51041, 89141, 0};
static int joe_kuo_d6_initial_number18702[] = {1, 1, 3, 7, 11, 37, 79, 69, 181, 623, 299, 2321, 4371, 7449, 3137, 25753, 116673, 30441, 0};
static int joe_kuo_d6_initial_number18703[] = {1, 1, 5, 9, 11, 13, 49, 207, 179, 671, 1469, 1005, 6887, 12203, 9365, 62455, 36283, 42053, 0};
static int joe_kuo_d6_initial_number18704[] = {1, 3, 1, 1, 7, 31, 115, 79, 435, 101, 1525, 3695, 3229, 11401, 23959, 62055, 37725, 219753, 0};
static int joe_kuo_d6_initial_number18705[] = {1, 3, 3, 7, 25, 49, 123, 161, 275, 291, 255, 2247, 4271, 10771, 2449, 26343, 61169, 30691, 0};
static int joe_kuo_d6_initial_number18706[] = {1, 1, 7, 1, 15, 3, 11, 15, 125, 1021, 1817, 417, 2721, 13985, 19039, 451, 32559, 199407, 0};
static int joe_kuo_d6_initial_number18707[] = {1, 1, 5, 15, 11, 25, 23, 101, 427, 431, 1353, 1957, 3529, 513, 11937, 14469, 89539, 242015, 0};
static int joe_kuo_d6_initial_number18708[] = {1, 1, 5, 13, 27, 5, 107, 29, 469, 3, 1427, 1949, 7007, 16339, 3375, 63545, 100739, 229487, 0};
static int joe_kuo_d6_initial_number18709[] = {1, 3, 5, 13, 15, 17, 59, 213, 417, 557, 11, 811, 5041, 4133, 25735, 46807, 65669, 148081, 0};
static int joe_kuo_d6_initial_number18710[] = {1, 1, 5, 13, 9, 47, 35, 173, 277, 805, 1249, 3707, 1079, 2833, 29383, 58995, 21005, 181567, 0};
static int joe_kuo_d6_initial_number18711[] = {1, 3, 5, 1, 5, 25, 125, 45, 157, 291, 1329, 3317, 2311, 9919, 31001, 65127, 19451, 117621, 0};
static int joe_kuo_d6_initial_number18712[] = {1, 1, 5, 9, 31, 21, 9, 193, 23, 879, 699, 1135, 7151, 8635, 20711, 45207, 67047, 4397, 0};
static int joe_kuo_d6_initial_number18713[] = {1, 3, 1, 11, 11, 49, 119, 129, 409, 491, 463, 833, 3661, 607, 25961, 6061, 12747, 160337, 0};
static int joe_kuo_d6_initial_number18714[] = {1, 3, 1, 15, 31, 35, 93, 95, 239, 695, 1113, 2371, 2625, 10371, 10781, 46209, 67051, 109923, 0};
static int joe_kuo_d6_initial_number18715[] = {1, 3, 5, 9, 5, 61, 25, 19, 99, 159, 55, 43, 3679, 1023, 17951, 44841, 101653, 195955, 0};
static int joe_kuo_d6_initial_number18716[] = {1, 1, 3, 11, 19, 45, 99, 47, 407, 115, 353, 3537, 7147, 5837, 27309, 44539, 30227, 93183, 0};
static int joe_kuo_d6_initial_number18717[] = {1, 1, 7, 15, 13, 59, 83, 215, 79, 865, 269, 2999, 2415, 10631, 23655, 51583, 46105, 43965, 0};
static int joe_kuo_d6_initial_number18718[] = {1, 3, 7, 5, 17, 1, 7, 119, 501, 25, 1097, 3639, 7017, 381, 4793, 37263, 60431, 77323, 0};
static int joe_kuo_d6_initial_number18719[] = {1, 3, 7, 13, 1, 37, 99, 103, 459, 853, 5, 3093, 6167, 14497, 7003, 36979, 71919, 64823, 0};
static int joe_kuo_d6_initial_number18720[] = {1, 3, 7, 5, 23, 7, 37, 255, 297, 115, 113, 579, 4561, 5245, 11173, 28645, 23989, 240777, 0};
static int joe_kuo_d6_initial_number18721[] = {1, 3, 5, 9, 29, 47, 43, 145, 481, 251, 737, 2531, 2425, 529, 3953, 13229, 35933, 187855, 0};
static int joe_kuo_d6_initial_number18722[] = {1, 3, 1, 15, 15, 15, 29, 73, 405, 91, 1399, 3599, 1517, 11075, 11265, 22817, 26619, 1183, 0};
static int joe_kuo_d6_initial_number18723[] = {1, 1, 5, 15, 21, 47, 93, 33, 47, 527, 877, 3453, 3867, 4007, 32503, 11789, 68333, 187419, 0};
static int joe_kuo_d6_initial_number18724[] = {1, 1, 3, 13, 5, 3, 99, 21, 17, 779, 541, 3919, 1339, 13507, 28965, 61145, 50421, 192319, 0};
static int joe_kuo_d6_initial_number18725[] = {1, 1, 3, 7, 31, 63, 17, 9, 331, 681, 515, 1067, 351, 2471, 31271, 36015, 72911, 32383, 0};
static int joe_kuo_d6_initial_number18726[] = {1, 1, 3, 7, 1, 55, 97, 211, 409, 499, 1207, 2405, 2291, 1373, 1263, 65303, 38655, 159965, 0};
static int joe_kuo_d6_initial_number18727[] = {1, 1, 1, 5, 23, 11, 21, 23, 35, 19, 1699, 2325, 6117, 14971, 32327, 31369, 28061, 112819, 0};
static int joe_kuo_d6_initial_number18728[] = {1, 3, 3, 13, 29, 63, 19, 201, 173, 395, 1437, 369, 7045, 14347, 5393, 11311, 28415, 161019, 0};
static int joe_kuo_d6_initial_number18729[] = {1, 3, 1, 5, 31, 15, 101, 13, 97, 865, 1063, 2129, 811, 3337, 7585, 54803, 122099, 149531, 0};
static int joe_kuo_d6_initial_number18730[] = {1, 3, 3, 13, 19, 5, 47, 13, 497, 683, 1197, 3509, 4375, 3353, 31847, 283, 95281, 7975, 0};
static int joe_kuo_d6_initial_number18731[] = {1, 1, 7, 5, 25, 19, 59, 105, 167, 775, 581, 2679, 3003, 9345, 20209, 31487, 25357, 226341, 0};
static int joe_kuo_d6_initial_number18732[] = {1, 1, 5, 5, 31, 61, 13, 77, 189, 141, 1157, 609, 7245, 15303, 32743, 50229, 67391, 173977, 0};
static int joe_kuo_d6_initial_number18733[] = {1, 3, 7, 13, 17, 11, 49, 135, 475, 303, 1373, 1437, 6119, 1729, 21347, 31643, 86523, 41223, 0};
static int joe_kuo_d6_initial_number18734[] = {1, 3, 7, 13, 3, 19, 103, 53, 209, 281, 77, 2009, 7911, 8549, 17655, 33165, 9685, 2289, 0};
static int joe_kuo_d6_initial_number18735[] = {1, 3, 3, 9, 5, 31, 71, 113, 93, 255, 165, 3465, 6769, 13047, 20701, 33669, 22537, 175209, 0};
static int joe_kuo_d6_initial_number18736[] = {1, 3, 1, 1, 15, 59, 89, 227, 275, 451, 869, 1865, 1327, 3895, 5459, 47997, 34287, 95343, 0};
static int joe_kuo_d6_initial_number18737[] = {1, 3, 7, 13, 27, 1, 25, 99, 475, 421, 693, 1955, 4017, 16037, 29915, 52415, 99913, 59151, 0};
static int joe_kuo_d6_initial_number18738[] = {1, 3, 5, 1, 9, 61, 107, 149, 465, 1003, 891, 2387, 407, 5851, 6287, 56401, 109693, 72035, 0};
static int joe_kuo_d6_initial_number18739[] = {1, 1, 1, 11, 25, 53, 101, 125, 35, 949, 1019, 3087, 2785, 11271, 25623, 57313, 115683, 101923, 0};
static int joe_kuo_d6_initial_number18740[] = {1, 3, 5, 13, 19, 13, 97, 147, 149, 483, 1727, 1771, 2089, 8661, 28223, 30437, 42565, 13261, 0};
static int joe_kuo_d6_initial_number18741[] = {1, 3, 3, 11, 17, 9, 13, 13, 419, 531, 1617, 1459, 411, 9953, 25581, 30305, 120721, 81113, 0};
static int joe_kuo_d6_initial_number18742[] = {1, 3, 3, 9, 9, 9, 83, 35, 367, 981, 911, 1915, 4937, 16187, 20441, 30433, 107605, 119939, 0};
static int joe_kuo_d6_initial_number18743[] = {1, 3, 7, 11, 11, 47, 31, 7, 141, 905, 1753, 3069, 47, 7347, 10517, 19515, 126827, 68669, 0};
static int joe_kuo_d6_initial_number18744[] = {1, 3, 3, 9, 17, 33, 121, 159, 265, 389, 261, 2479, 7705, 6453, 31963, 14123, 100201, 77235, 0};
static int joe_kuo_d6_initial_number18745[] = {1, 1, 5, 5, 13, 63, 3, 1, 107, 383, 633, 2183, 1437, 14525, 29315, 3277, 2153, 204061, 0};
static int joe_kuo_d6_initial_number18746[] = {1, 3, 3, 3, 17, 9, 47, 173, 17, 413, 451, 1127, 1807, 5265, 32543, 8215, 123601, 138777, 0};
static int joe_kuo_d6_initial_number18747[] = {1, 3, 1, 1, 7, 57, 93, 29, 101, 955, 1445, 4017, 2853, 3551, 22173, 40355, 34687, 133063, 0};
static int joe_kuo_d6_initial_number18748[] = {1, 1, 5, 11, 19, 15, 95, 177, 49, 971, 15, 2293, 2627, 7841, 2103, 64331, 60481, 182431, 0};
static int joe_kuo_d6_initial_number18749[] = {1, 3, 1, 15, 25, 57, 47, 85, 485, 11, 1669, 995, 6939, 4125, 19513, 62397, 62645, 82213, 0};
static int joe_kuo_d6_initial_number18750[] = {1, 1, 1, 11, 1, 37, 101, 157, 17, 261, 997, 817, 2195, 4141, 10505, 60685, 98165, 167391, 0};
static int joe_kuo_d6_initial_number18751[] = {1, 1, 1, 1, 31, 9, 103, 97, 161, 13, 1043, 307, 7321, 671, 12417, 58661, 23031, 207833, 0};
static int joe_kuo_d6_initial_number18752[] = {1, 1, 7, 9, 15, 49, 69, 117, 93, 95, 507, 393, 6169, 2111, 27179, 47217, 93699, 67315, 0};
static int joe_kuo_d6_initial_number18753[] = {1, 3, 7, 1, 23, 41, 115, 125, 343, 615, 397, 1199, 3041, 11019, 1071, 51069, 75757, 245765, 0};
static int joe_kuo_d6_initial_number18754[] = {1, 1, 1, 13, 7, 15, 111, 239, 29, 419, 203, 2395, 3995, 13, 32341, 17471, 53259, 3317, 0};
static int joe_kuo_d6_initial_number18755[] = {1, 3, 1, 11, 29, 27, 15, 217, 17, 163, 1847, 3549, 4911, 4539, 4927, 57157, 44893, 41669, 0};
static int joe_kuo_d6_initial_number18756[] = {1, 1, 7, 7, 25, 15, 101, 149, 433, 717, 1827, 3837, 4565, 14521, 28857, 27775, 117429, 136131, 0};
static int joe_kuo_d6_initial_number18757[] = {1, 1, 1, 3, 25, 35, 85, 3, 381, 253, 375, 3967, 3101, 12727, 31739, 48885, 35821, 92229, 0};
static int joe_kuo_d6_initial_number18758[] = {1, 3, 3, 7, 29, 5, 51, 157, 67, 467, 1957, 3453, 1353, 4839, 25379, 42731, 109385, 52479, 0};
static int joe_kuo_d6_initial_number18759[] = {1, 3, 7, 13, 3, 55, 61, 73, 257, 313, 89, 2557, 7467, 2223, 2951, 49265, 126605, 72007, 0};
static int joe_kuo_d6_initial_number18760[] = {1, 3, 7, 5, 5, 11, 83, 3, 347, 63, 479, 529, 5059, 7029, 20523, 58387, 44891, 168921, 0};
static int joe_kuo_d6_initial_number18761[] = {1, 3, 1, 11, 3, 51, 99, 5, 161, 279, 1509, 3659, 3107, 13925, 5117, 46153, 48731, 69767, 0};
static int joe_kuo_d6_initial_number18762[] = {1, 1, 5, 5, 3, 53, 49, 243, 383, 401, 1205, 975, 3305, 12769, 25533, 28733, 115161, 160885, 0};
static int joe_kuo_d6_initial_number18763[] = {1, 1, 1, 7, 15, 5, 43, 143, 493, 527, 1625, 2115, 3929, 12425, 16127, 25045, 55973, 202359, 0};
static int joe_kuo_d6_initial_number18764[] = {1, 3, 7, 7, 11, 9, 69, 79, 417, 941, 473, 1655, 5763, 9889, 22443, 12153, 103489, 74737, 0};
static int joe_kuo_d6_initial_number18765[] = {1, 1, 7, 9, 27, 31, 97, 253, 199, 99, 1955, 1481, 2509, 11923, 6337, 15899, 122515, 244721, 0};
static int joe_kuo_d6_initial_number18766[] = {1, 1, 5, 13, 29, 15, 35, 177, 261, 613, 1279, 2837, 2945, 4501, 22865, 36893, 51979, 245569, 0};
static int joe_kuo_d6_initial_number18767[] = {1, 1, 5, 9, 21, 5, 85, 5, 303, 165, 681, 3965, 2575, 1493, 10367, 55845, 92139, 92539, 0};
static int joe_kuo_d6_initial_number18768[] = {1, 3, 5, 1, 23, 49, 49, 161, 481, 181, 1991, 1845, 4541, 14187, 10893, 64931, 79943, 57907, 0};
static int joe_kuo_d6_initial_number18769[] = {1, 3, 1, 5, 11, 27, 19, 193, 371, 463, 1573, 271, 1127, 15091, 9967, 40337, 104163, 159339, 0};
static int joe_kuo_d6_initial_number18770[] = {1, 3, 1, 3, 13, 3, 57, 149, 465, 789, 1155, 2223, 2007, 13987, 19057, 40447, 5217, 86191, 0};
static int joe_kuo_d6_initial_number18771[] = {1, 3, 5, 5, 9, 45, 27, 155, 95, 171, 489, 2539, 843, 16125, 7047, 58541, 84641, 212013, 0};
static int joe_kuo_d6_initial_number18772[] = {1, 3, 5, 13, 13, 53, 101, 159, 7, 481, 143, 3869, 6629, 3527, 1555, 6019, 155, 230157, 0};
static int joe_kuo_d6_initial_number18773[] = {1, 3, 1, 1, 19, 59, 59, 129, 107, 887, 1595, 93, 6577, 3947, 14409, 31081, 68595, 226741, 0};
static int joe_kuo_d6_initial_number18774[] = {1, 3, 3, 11, 13, 49, 81, 253, 363, 875, 489, 2181, 3487, 1615, 31157, 32949, 44809, 119421, 0};
static int joe_kuo_d6_initial_number18775[] = {1, 1, 3, 1, 3, 19, 71, 93, 397, 521, 2015, 3829, 3013, 3941, 29437, 1959, 70283, 254361, 0};
static int joe_kuo_d6_initial_number18776[] = {1, 3, 1, 3, 27, 11, 95, 39, 299, 521, 389, 3451, 3047, 8637, 22537, 11279, 67407, 101511, 0};
static int joe_kuo_d6_initial_number18777[] = {1, 3, 1, 1, 27, 43, 123, 237, 315, 503, 1059, 2185, 3963, 1593, 19157, 13909, 58025, 91649, 0};
static int joe_kuo_d6_initial_number18778[] = {1, 1, 7, 1, 5, 19, 79, 109, 459, 541, 521, 89, 389, 13499, 9769, 1429, 117357, 153261, 0};
static int joe_kuo_d6_initial_number18779[] = {1, 1, 5, 3, 9, 29, 21, 97, 219, 915, 2013, 1955, 1015, 549, 9777, 5005, 110953, 16915, 0};
static int joe_kuo_d6_initial_number18780[] = {1, 1, 1, 9, 29, 11, 103, 167, 465, 515, 843, 151, 769, 12033, 9451, 14949, 110075, 113947, 0};
static int joe_kuo_d6_initial_number18781[] = {1, 3, 5, 1, 21, 1, 105, 49, 35, 737, 231, 2761, 1519, 9997, 601, 20883, 42575, 98081, 0};
static int joe_kuo_d6_initial_number18782[] = {1, 1, 1, 5, 13, 63, 47, 171, 187, 407, 643, 1423, 6325, 10079, 23781, 36353, 20655, 10231, 0};
static int joe_kuo_d6_initial_number18783[] = {1, 1, 7, 13, 13, 13, 91, 31, 19, 305, 505, 1937, 2683, 10791, 7719, 54797, 9405, 195819, 0};
static int joe_kuo_d6_initial_number18784[] = {1, 1, 1, 7, 17, 9, 21, 211, 85, 851, 211, 1533, 4035, 11, 26873, 16755, 77809, 44603, 0};
static int joe_kuo_d6_initial_number18785[] = {1, 1, 3, 1, 29, 47, 31, 141, 9, 881, 1229, 1261, 3747, 4603, 22177, 48937, 21435, 157029, 0};
static int joe_kuo_d6_initial_number18786[] = {1, 1, 1, 9, 11, 35, 109, 187, 319, 863, 1339, 2193, 4147, 3721, 7243, 18295, 92461, 88875, 0};
static int joe_kuo_d6_initial_number18787[] = {1, 1, 1, 1, 25, 41, 79, 191, 47, 819, 2013, 3133, 2763, 9231, 10343, 49693, 26753, 97465, 0};
static int joe_kuo_d6_initial_number18788[] = {1, 3, 1, 3, 17, 25, 63, 139, 179, 113, 1681, 1997, 4561, 14453, 30721, 7053, 22937, 183303, 0};
static int joe_kuo_d6_initial_number18789[] = {1, 1, 7, 3, 29, 11, 41, 157, 427, 887, 295, 443, 5593, 8633, 9757, 37595, 121655, 135739, 0};
static int joe_kuo_d6_initial_number18790[] = {1, 3, 1, 7, 29, 5, 23, 231, 85, 67, 103, 1395, 7821, 9551, 17019, 1825, 69963, 254583, 0};
static int joe_kuo_d6_initial_number18791[] = {1, 1, 7, 9, 7, 23, 7, 205, 17, 111, 1219, 3101, 7485, 11579, 11791, 10203, 119835, 175985, 0};
static int joe_kuo_d6_initial_number18792[] = {1, 3, 3, 13, 3, 57, 101, 255, 331, 911, 491, 3929, 2519, 2185, 21107, 24599, 92831, 75001, 0};
static int joe_kuo_d6_initial_number18793[] = {1, 3, 7, 1, 23, 53, 69, 229, 295, 881, 905, 3727, 3885, 7967, 2061, 53595, 16033, 36443, 0};
static int joe_kuo_d6_initial_number18794[] = {1, 1, 7, 15, 21, 1, 127, 115, 191, 53, 929, 1093, 5447, 1665, 4409, 22611, 38157, 139201, 0};
static int joe_kuo_d6_initial_number18795[] = {1, 3, 3, 13, 29, 31, 113, 215, 365, 41, 1977, 2839, 4147, 8321, 1361, 45717, 80505, 176631, 0};
static int joe_kuo_d6_initial_number18796[] = {1, 3, 5, 3, 3, 57, 25, 81, 41, 229, 669, 3371, 7505, 1197, 14921, 34365, 67571, 27355, 0};
static int joe_kuo_d6_initial_number18797[] = {1, 3, 7, 9, 17, 35, 7, 169, 13, 163, 2007, 3697, 5635, 8003, 26105, 62917, 19349, 47029, 0};
static int joe_kuo_d6_initial_number18798[] = {1, 1, 5, 5, 29, 27, 89, 137, 69, 189, 871, 3139, 6383, 14955, 15349, 60447, 122291, 26541, 0};
static int joe_kuo_d6_initial_number18799[] = {1, 1, 7, 13, 27, 49, 115, 111, 441, 865, 1397, 161, 755, 14461, 8601, 45533, 105309, 149799, 0};
static int joe_kuo_d6_initial_number18800[] = {1, 1, 7, 3, 9, 29, 91, 5, 239, 605, 491, 1705, 4099, 9111, 19821, 56903, 62815, 40615, 0};
static int joe_kuo_d6_initial_number18801[] = {1, 1, 7, 15, 5, 45, 71, 225, 211, 539, 1881, 1201, 5675, 6061, 12121, 13289, 30455, 33131, 0};
static int joe_kuo_d6_initial_number18802[] = {1, 1, 5, 15, 5, 59, 35, 121, 185, 143, 165, 2999, 7907, 5035, 8337, 11951, 66403, 219997, 0};
static int joe_kuo_d6_initial_number18803[] = {1, 1, 5, 9, 3, 7, 27, 129, 245, 93, 715, 1249, 1717, 13381, 31255, 23153, 22227, 8077, 0};
static int joe_kuo_d6_initial_number18804[] = {1, 3, 5, 11, 19, 49, 21, 163, 157, 615, 1475, 2453, 6315, 12325, 26565, 58399, 49385, 252127, 0};
static int joe_kuo_d6_initial_number18805[] = {1, 3, 7, 11, 23, 3, 35, 61, 409, 795, 1447, 3461, 535, 6533, 25757, 31783, 9509, 217589, 0};
static int joe_kuo_d6_initial_number18806[] = {1, 1, 5, 15, 9, 21, 67, 65, 399, 515, 777, 3183, 1155, 16071, 7339, 59985, 56659, 200701, 0};
static int joe_kuo_d6_initial_number18807[] = {1, 3, 3, 1, 15, 33, 119, 145, 71, 517, 1775, 163, 5307, 1549, 31071, 56289, 128395, 230381, 0};
static int joe_kuo_d6_initial_number18808[] = {1, 3, 1, 7, 7, 47, 97, 187, 193, 887, 515, 1301, 4841, 12069, 413, 41503, 36421, 45909, 0};
static int joe_kuo_d6_initial_number18809[] = {1, 1, 5, 3, 17, 21, 53, 227, 137, 865, 715, 3601, 5027, 2983, 24113, 23349, 106391, 188193, 0};
static int joe_kuo_d6_initial_number18810[] = {1, 3, 7, 15, 29, 37, 91, 235, 351, 15, 425, 681, 187, 1517, 30079, 41347, 49691, 66369, 0};
static int joe_kuo_d6_initial_number18811[] = {1, 1, 5, 5, 15, 25, 93, 245, 397, 517, 1635, 2475, 5543, 9597, 27721, 21475, 79571, 259011, 0};
static int joe_kuo_d6_initial_number18812[] = {1, 1, 1, 5, 21, 29, 5, 161, 37, 409, 1661, 3371, 5663, 4317, 9951, 23605, 7393, 90593, 0};
static int joe_kuo_d6_initial_number18813[] = {1, 1, 3, 15, 21, 51, 79, 159, 209, 891, 1391, 2895, 5003, 6601, 17983, 42359, 104497, 162181, 0};
static int joe_kuo_d6_initial_number18814[] = {1, 3, 7, 11, 23, 51, 99, 145, 21, 345, 1389, 1035, 5939, 8293, 22765, 23331, 7789, 115149, 0};
static int joe_kuo_d6_initial_number18815[] = {1, 1, 5, 11, 27, 61, 115, 123, 317, 607, 463, 779, 5121, 3861, 18761, 39407, 125837, 244163, 0};
static int joe_kuo_d6_initial_number18816[] = {1, 1, 7, 3, 15, 9, 33, 1, 437, 621, 31, 147, 8157, 3451, 18223, 61187, 125297, 211225, 0};
static int joe_kuo_d6_initial_number18817[] = {1, 3, 1, 11, 27, 55, 21, 251, 5, 57, 1889, 71, 3745, 499, 9043, 62683, 21945, 138615, 0};
static int joe_kuo_d6_initial_number18818[] = {1, 1, 3, 13, 25, 9, 1, 31, 277, 373, 507, 301, 2341, 1741, 11997, 47661, 44121, 183151, 0};
static int joe_kuo_d6_initial_number18819[] = {1, 3, 3, 5, 15, 51, 5, 233, 475, 397, 1833, 1267, 7025, 2593, 15425, 47053, 16205, 208007, 0};
static int joe_kuo_d6_initial_number18820[] = {1, 3, 3, 9, 31, 51, 123, 219, 493, 789, 659, 985, 7283, 11545, 15383, 25173, 130423, 196619, 0};
static int joe_kuo_d6_initial_number18821[] = {1, 1, 1, 15, 9, 17, 37, 145, 297, 933, 1019, 1699, 2149, 12391, 17003, 42157, 126283, 252231, 0};
static int joe_kuo_d6_initial_number18822[] = {1, 3, 5, 9, 17, 1, 91, 69, 335, 857, 925, 3855, 2225, 6909, 19101, 12191, 92117, 229077, 0};
static int joe_kuo_d6_initial_number18823[] = {1, 3, 5, 13, 5, 21, 67, 17, 307, 879, 1563, 3169, 745, 6799, 27237, 39621, 1413, 146295, 0};
static int joe_kuo_d6_initial_number18824[] = {1, 3, 7, 13, 17, 59, 23, 253, 415, 761, 451, 2773, 3523, 10985, 29853, 7275, 79521, 133447, 0};
static int joe_kuo_d6_initial_number18825[] = {1, 1, 1, 1, 15, 43, 89, 19, 85, 837, 1335, 1641, 105, 5429, 8317, 45555, 104447, 102313, 0};
static int joe_kuo_d6_initial_number18826[] = {1, 3, 3, 5, 17, 21, 67, 235, 367, 265, 1069, 835, 5457, 177, 26987, 39477, 6895, 123283, 0};
static int joe_kuo_d6_initial_number18827[] = {1, 1, 5, 15, 19, 61, 5, 15, 487, 291, 661, 825, 1569, 8795, 13035, 57077, 112847, 160267, 0};
static int joe_kuo_d6_initial_number18828[] = {1, 1, 7, 9, 27, 21, 91, 133, 361, 7, 447, 3035, 3523, 13167, 15927, 35555, 35713, 91291, 0};
static int joe_kuo_d6_initial_number18829[] = {1, 3, 7, 11, 17, 23, 77, 255, 437, 897, 1185, 1633, 6451, 13081, 29097, 61335, 39671, 177835, 0};
static int joe_kuo_d6_initial_number18830[] = {1, 1, 7, 5, 31, 49, 81, 221, 167, 241, 1895, 1813, 1493, 2475, 379, 5685, 116341, 121823, 0};
static int joe_kuo_d6_initial_number18831[] = {1, 3, 5, 9, 25, 11, 117, 253, 337, 381, 743, 69, 1641, 3649, 26335, 59683, 28729, 83449, 0};
static int joe_kuo_d6_initial_number18832[] = {1, 3, 1, 7, 15, 17, 59, 9, 129, 233, 1905, 1371, 6521, 8953, 26173, 9707, 70817, 260035, 0};
static int joe_kuo_d6_initial_number18833[] = {1, 3, 1, 5, 19, 53, 23, 255, 305, 835, 1387, 2947, 3013, 9117, 27571, 47123, 49881, 47229, 0};
static int joe_kuo_d6_initial_number18834[] = {1, 1, 3, 5, 23, 37, 123, 193, 365, 49, 1211, 3083, 8133, 14205, 11361, 55945, 23225, 159109, 0};
static int joe_kuo_d6_initial_number18835[] = {1, 1, 7, 11, 5, 49, 43, 165, 97, 581, 617, 3045, 6187, 8399, 24045, 46713, 28389, 156811, 0};
static int joe_kuo_d6_initial_number18836[] = {1, 3, 1, 5, 29, 17, 75, 231, 59, 143, 2041, 2319, 2289, 11805, 4039, 29895, 91305, 179091, 0};
static int joe_kuo_d6_initial_number18837[] = {1, 1, 7, 7, 29, 5, 13, 43, 409, 81, 751, 2157, 2543, 13317, 28275, 60871, 119833, 36743, 0};
static int joe_kuo_d6_initial_number18838[] = {1, 1, 5, 13, 5, 5, 21, 101, 497, 993, 157, 647, 3587, 1495, 20233, 30889, 112579, 172009, 0};
static int joe_kuo_d6_initial_number18839[] = {1, 1, 7, 13, 7, 19, 101, 217, 305, 897, 1305, 1693, 6881, 2415, 17373, 56327, 53971, 19021, 0};
static int joe_kuo_d6_initial_number18840[] = {1, 1, 7, 15, 31, 61, 93, 99, 459, 999, 239, 969, 2427, 12295, 23699, 4839, 73707, 110365, 0};
static int joe_kuo_d6_initial_number18841[] = {1, 3, 5, 9, 15, 59, 29, 35, 15, 331, 93, 529, 2651, 5675, 3039, 25967, 2907, 222053, 0};
static int joe_kuo_d6_initial_number18842[] = {1, 3, 3, 1, 1, 17, 59, 81, 495, 917, 1907, 3, 1989, 14339, 21311, 60909, 39393, 54115, 0};
static int joe_kuo_d6_initial_number18843[] = {1, 3, 1, 9, 1, 37, 31, 201, 251, 117, 1753, 2453, 5007, 6935, 1165, 49231, 51495, 200219, 0};
static int joe_kuo_d6_initial_number18844[] = {1, 1, 3, 3, 15, 47, 17, 175, 77, 363, 1455, 1417, 1357, 2295, 31165, 53337, 97891, 145621, 0};
static int joe_kuo_d6_initial_number18845[] = {1, 3, 3, 3, 27, 31, 41, 179, 47, 629, 5, 2543, 6817, 8953, 7151, 20715, 52363, 251037, 0};
static int joe_kuo_d6_initial_number18846[] = {1, 3, 1, 1, 21, 11, 103, 87, 285, 189, 1911, 2979, 7563, 13405, 2309, 25695, 106277, 179493, 0};
static int joe_kuo_d6_initial_number18847[] = {1, 1, 1, 5, 7, 19, 1, 233, 261, 825, 1071, 3529, 5617, 11207, 24559, 47461, 79753, 41009, 0};
static int joe_kuo_d6_initial_number18848[] = {1, 1, 3, 1, 15, 35, 65, 157, 381, 509, 1455, 3117, 31, 2251, 29729, 33687, 74999, 214765, 0};
static int joe_kuo_d6_initial_number18849[] = {1, 1, 7, 11, 31, 43, 11, 147, 509, 891, 1929, 357, 3905, 16251, 30169, 27787, 124003, 142587, 0};
static int joe_kuo_d6_initial_number18850[] = {1, 1, 7, 11, 3, 31, 93, 161, 311, 377, 1119, 2177, 4339, 3889, 24299, 35167, 87583, 145611, 0};
static int joe_kuo_d6_initial_number18851[] = {1, 1, 5, 9, 23, 9, 73, 85, 233, 919, 1319, 13, 3353, 1029, 31251, 17731, 86759, 11705, 0};
static int joe_kuo_d6_initial_number18852[] = {1, 1, 1, 7, 27, 23, 67, 235, 207, 161, 697, 2433, 833, 5305, 32695, 29327, 25285, 51289, 0};
static int joe_kuo_d6_initial_number18853[] = {1, 3, 3, 3, 31, 55, 107, 211, 61, 993, 1443, 463, 5029, 5401, 8821, 29721, 113939, 194839, 0};
static int joe_kuo_d6_initial_number18854[] = {1, 1, 1, 11, 11, 33, 39, 167, 17, 863, 363, 3967, 2277, 4053, 15403, 31887, 98565, 217953, 0};
static int joe_kuo_d6_initial_number18855[] = {1, 1, 7, 1, 21, 47, 97, 147, 155, 327, 1417, 3531, 7649, 8975, 21221, 57631, 72611, 97745, 0};
static int joe_kuo_d6_initial_number18856[] = {1, 3, 3, 1, 1, 63, 19, 91, 105, 991, 819, 673, 7845, 14947, 1633, 40517, 91525, 151041, 0};
static int joe_kuo_d6_initial_number18857[] = {1, 1, 7, 11, 25, 43, 57, 141, 65, 415, 1045, 3947, 7099, 11653, 29321, 51591, 2591, 44803, 0};
static int joe_kuo_d6_initial_number18858[] = {1, 3, 1, 9, 15, 19, 105, 37, 485, 3, 213, 1217, 951, 5637, 1589, 25501, 95073, 124683, 0};
static int joe_kuo_d6_initial_number18859[] = {1, 1, 5, 7, 13, 19, 55, 143, 507, 575, 715, 1633, 5201, 10493, 26041, 18407, 8097, 152313, 0};
static int joe_kuo_d6_initial_number18860[] = {1, 1, 3, 5, 9, 51, 5, 171, 143, 877, 1571, 2997, 4209, 13423, 9389, 23015, 6665, 254799, 0};
static int joe_kuo_d6_initial_number18861[] = {1, 3, 5, 15, 31, 43, 87, 79, 89, 463, 1075, 1257, 1631, 13225, 13529, 53267, 73651, 89125, 0};
static int joe_kuo_d6_initial_number18862[] = {1, 3, 7, 13, 23, 17, 93, 113, 45, 225, 1939, 3301, 6031, 9749, 16577, 12857, 68437, 169861, 0};
static int joe_kuo_d6_initial_number18863[] = {1, 3, 3, 15, 31, 11, 91, 127, 227, 813, 105, 901, 6861, 10627, 18425, 2553, 102503, 83167, 0};
static int joe_kuo_d6_initial_number18864[] = {1, 3, 3, 13, 17, 63, 83, 163, 451, 659, 1995, 2283, 6297, 8097, 20935, 6017, 4977, 5045, 0};
static int joe_kuo_d6_initial_number18865[] = {1, 1, 5, 13, 27, 47, 103, 129, 259, 975, 391, 2343, 6639, 1385, 30187, 35401, 74321, 24751, 0};
static int joe_kuo_d6_initial_number18866[] = {1, 3, 1, 13, 1, 57, 37, 65, 57, 413, 63, 3819, 5915, 3925, 20777, 48539, 3019, 54965, 0};
static int joe_kuo_d6_initial_number18867[] = {1, 1, 7, 3, 7, 13, 91, 33, 143, 489, 657, 3127, 707, 10841, 11307, 37855, 92697, 119189, 0};
static int joe_kuo_d6_initial_number18868[] = {1, 1, 3, 11, 25, 47, 11, 57, 463, 693, 55, 501, 3765, 15443, 12917, 61677, 97145, 213637, 0};
static int joe_kuo_d6_initial_number18869[] = {1, 3, 1, 1, 13, 49, 13, 225, 101, 475, 627, 1447, 7587, 11335, 3599, 20795, 72915, 174663, 0};
static int joe_kuo_d6_initial_number18870[] = {1, 3, 7, 5, 31, 15, 115, 255, 329, 365, 959, 3399, 4695, 14537, 1447, 17391, 88557, 130213, 0};
static int joe_kuo_d6_initial_number18871[] = {1, 1, 1, 9, 25, 47, 29, 173, 29, 149, 291, 691, 7621, 7607, 20769, 7149, 27323, 57689, 0};
static int joe_kuo_d6_initial_number18872[] = {1, 3, 5, 15, 3, 61, 119, 247, 25, 495, 1297, 1119, 8011, 16077, 21567, 30559, 88455, 68763, 0};
static int joe_kuo_d6_initial_number18873[] = {1, 1, 7, 1, 11, 47, 109, 115, 313, 517, 1951, 3319, 337, 11793, 22345, 33457, 47383, 213893, 0};
static int joe_kuo_d6_initial_number18874[] = {1, 1, 5, 11, 11, 53, 103, 237, 383, 927, 421, 4085, 3327, 169, 9941, 24753, 65437, 108173, 0};
static int joe_kuo_d6_initial_number18875[] = {1, 1, 5, 11, 17, 59, 107, 53, 479, 143, 825, 2667, 5219, 6143, 11573, 33637, 124981, 98195, 0};
static int joe_kuo_d6_initial_number18876[] = {1, 3, 3, 13, 3, 17, 61, 129, 475, 585, 1611, 1791, 7817, 4099, 20437, 51411, 130173, 220085, 0};
static int joe_kuo_d6_initial_number18877[] = {1, 3, 3, 3, 27, 25, 33, 255, 361, 967, 1415, 3213, 3341, 15875, 32359, 53267, 27665, 178301, 0};
static int joe_kuo_d6_initial_number18878[] = {1, 1, 5, 3, 13, 9, 91, 187, 173, 525, 1675, 2217, 4093, 2009, 16917, 18485, 104849, 163233, 0};
static int joe_kuo_d6_initial_number18879[] = {1, 1, 1, 11, 3, 17, 125, 157, 9, 429, 1573, 2257, 7943, 9893, 5611, 64619, 4509, 200181, 0};
static int joe_kuo_d6_initial_number18880[] = {1, 3, 1, 1, 3, 9, 83, 53, 315, 85, 1093, 2621, 663, 12369, 317, 6089, 16479, 225071, 0};
static int joe_kuo_d6_initial_number18881[] = {1, 3, 3, 1, 25, 47, 57, 45, 219, 45, 945, 3989, 4889, 8989, 381, 52483, 57029, 253899, 0};
static int joe_kuo_d6_initial_number18882[] = {1, 3, 3, 5, 3, 61, 75, 189, 53, 489, 553, 2381, 7485, 9941, 29733, 2611, 74119, 203647, 0};
static int joe_kuo_d6_initial_number18883[] = {1, 3, 1, 11, 27, 63, 53, 61, 59, 613, 465, 867, 1985, 7605, 14301, 53847, 68547, 14717, 0};
static int joe_kuo_d6_initial_number18884[] = {1, 3, 5, 11, 5, 41, 51, 11, 59, 761, 59, 267, 7273, 3061, 11223, 48825, 117869, 158551, 0};
static int joe_kuo_d6_initial_number18885[] = {1, 3, 7, 1, 31, 47, 111, 43, 435, 997, 135, 3369, 6439, 5637, 13629, 13221, 90607, 86359, 0};
static int joe_kuo_d6_initial_number18886[] = {1, 1, 1, 11, 23, 51, 109, 223, 495, 765, 1557, 3545, 305, 4949, 23931, 45115, 12121, 14487, 0};
static int joe_kuo_d6_initial_number18887[] = {1, 3, 5, 9, 5, 25, 41, 249, 27, 375, 1339, 3647, 3529, 2077, 21091, 45523, 67191, 1257, 0};
static int joe_kuo_d6_initial_number18888[] = {1, 1, 3, 7, 13, 15, 63, 45, 187, 761, 1245, 3381, 1817, 2491, 16469, 64417, 87333, 143103, 0};
static int joe_kuo_d6_initial_number18889[] = {1, 1, 3, 13, 11, 33, 87, 11, 279, 689, 1047, 3935, 5359, 11309, 19735, 33259, 12347, 183653, 0};
static int joe_kuo_d6_initial_number18890[] = {1, 1, 5, 7, 5, 49, 109, 221, 455, 167, 785, 1859, 4337, 14937, 209, 23435, 22923, 172985, 0};
static int joe_kuo_d6_initial_number18891[] = {1, 3, 7, 9, 13, 7, 127, 117, 147, 741, 531, 2627, 2565, 11083, 30577, 42471, 77065, 120983, 0};
static int joe_kuo_d6_initial_number18892[] = {1, 1, 7, 1, 5, 61, 115, 203, 15, 305, 1005, 2085, 2597, 4371, 11661, 33219, 53657, 40325, 0};
static int joe_kuo_d6_initial_number18893[] = {1, 3, 7, 13, 13, 15, 69, 167, 369, 747, 1115, 1493, 4881, 2693, 32281, 27089, 56821, 121693, 0};
static int joe_kuo_d6_initial_number18894[] = {1, 3, 5, 3, 19, 51, 101, 29, 411, 509, 847, 1033, 4135, 15561, 7045, 60757, 48479, 247295, 0};
static int joe_kuo_d6_initial_number18895[] = {1, 1, 5, 3, 27, 47, 103, 123, 413, 71, 689, 2113, 4347, 1983, 25727, 20095, 3271, 133081, 0};
static int joe_kuo_d6_initial_number18896[] = {1, 1, 3, 3, 5, 39, 87, 27, 505, 631, 689, 2591, 1955, 3205, 12681, 10821, 13343, 101505, 0};
static int joe_kuo_d6_initial_number18897[] = {1, 3, 7, 9, 31, 23, 103, 223, 499, 721, 13, 1399, 7369, 3945, 27727, 7923, 60265, 197793, 0};
static int joe_kuo_d6_initial_number18898[] = {1, 3, 3, 5, 27, 7, 119, 23, 371, 495, 1583, 3913, 5139, 12151, 17477, 10907, 121775, 13369, 0};
static int joe_kuo_d6_initial_number18899[] = {1, 3, 7, 1, 19, 53, 91, 235, 161, 97, 37, 1115, 5909, 1943, 8137, 1541, 16253, 252151, 0};
static int joe_kuo_d6_initial_number18900[] = {1, 3, 7, 5, 3, 1, 107, 241, 187, 253, 1225, 2827, 4191, 2749, 25629, 47465, 19969, 45035, 0};
static int joe_kuo_d6_initial_number18901[] = {1, 3, 1, 5, 1, 29, 47, 233, 175, 313, 793, 2089, 6235, 6595, 27599, 20505, 63379, 8729, 0};
static int joe_kuo_d6_initial_number18902[] = {1, 3, 7, 11, 15, 9, 87, 113, 389, 1, 1057, 3307, 3455, 1847, 1497, 28115, 92897, 2383, 0};
static int joe_kuo_d6_initial_number18903[] = {1, 3, 7, 13, 19, 59, 45, 59, 49, 273, 1619, 1975, 5949, 9951, 7685, 52559, 42377, 29855, 0};
static int joe_kuo_d6_initial_number18904[] = {1, 1, 3, 9, 19, 7, 119, 35, 85, 37, 269, 3443, 8015, 8061, 6001, 19123, 70643, 115513, 0};
static int joe_kuo_d6_initial_number18905[] = {1, 1, 3, 15, 3, 19, 83, 171, 259, 207, 1495, 513, 5455, 4071, 27471, 15773, 66301, 228743, 0};
static int joe_kuo_d6_initial_number18906[] = {1, 3, 7, 9, 3, 27, 93, 3, 471, 13, 677, 4067, 1941, 15345, 26629, 29419, 121593, 108669, 0};
static int joe_kuo_d6_initial_number18907[] = {1, 3, 7, 15, 29, 43, 97, 41, 15, 181, 1969, 1901, 7237, 3879, 19337, 17659, 17957, 164667, 0};
static int joe_kuo_d6_initial_number18908[] = {1, 3, 1, 1, 25, 33, 7, 41, 387, 469, 795, 781, 113, 4161, 29687, 32225, 73905, 137879, 0};
static int joe_kuo_d6_initial_number18909[] = {1, 1, 3, 13, 9, 59, 89, 23, 393, 111, 1957, 719, 6179, 16183, 31331, 48015, 32147, 31691, 0};
static int joe_kuo_d6_initial_number18910[] = {1, 3, 7, 5, 9, 45, 73, 219, 181, 51, 717, 1813, 2581, 1395, 17595, 23689, 89709, 201451, 0};
static int joe_kuo_d6_initial_number18911[] = {1, 3, 7, 3, 1, 21, 15, 35, 131, 515, 803, 1429, 3855, 349, 11795, 26787, 6109, 117745, 0};
static int joe_kuo_d6_initial_number18912[] = {1, 3, 3, 9, 7, 11, 57, 15, 491, 371, 1787, 85, 577, 11455, 27419, 20687, 2493, 209993, 0};
static int joe_kuo_d6_initial_number18913[] = {1, 3, 7, 15, 5, 5, 87, 197, 93, 643, 247, 31, 357, 7377, 10509, 29883, 42747, 248861, 0};
static int joe_kuo_d6_initial_number18914[] = {1, 3, 3, 3, 29, 33, 47, 253, 485, 25, 2003, 2953, 1629, 11549, 5697, 1135, 117761, 96411, 0};
static int joe_kuo_d6_initial_number18915[] = {1, 3, 5, 1, 29, 5, 27, 187, 235, 423, 41, 1855, 4359, 15627, 28409, 49331, 37735, 68823, 0};
static int joe_kuo_d6_initial_number18916[] = {1, 1, 5, 5, 21, 61, 67, 85, 41, 671, 1617, 3867, 7913, 1693, 18487, 1831, 100971, 168191, 0};
static int joe_kuo_d6_initial_number18917[] = {1, 1, 7, 3, 1, 61, 111, 87, 55, 229, 217, 2801, 563, 13617, 9641, 22247, 16039, 113541, 0};
static int joe_kuo_d6_initial_number18918[] = {1, 3, 5, 7, 5, 29, 67, 99, 91, 561, 1203, 643, 2607, 13421, 29695, 31925, 82985, 69031, 0};
static int joe_kuo_d6_initial_number18919[] = {1, 1, 1, 1, 27, 7, 63, 107, 269, 163, 1711, 587, 5657, 15077, 24709, 10235, 95483, 94799, 0};
static int joe_kuo_d6_initial_number18920[] = {1, 3, 3, 5, 29, 5, 127, 137, 67, 609, 1657, 1131, 959, 15773, 17295, 58575, 96525, 80529, 0};
static int joe_kuo_d6_initial_number18921[] = {1, 3, 7, 7, 25, 15, 89, 93, 145, 695, 367, 2853, 3073, 4867, 26823, 31467, 94769, 9145, 0};
static int joe_kuo_d6_initial_number18922[] = {1, 1, 7, 15, 15, 5, 1, 225, 57, 381, 1295, 2525, 1493, 2401, 91, 19809, 32803, 195289, 0};
static int joe_kuo_d6_initial_number18923[] = {1, 3, 3, 7, 29, 51, 29, 63, 249, 107, 1689, 3703, 7227, 6967, 27861, 39167, 20043, 218827, 0};
static int joe_kuo_d6_initial_number18924[] = {1, 1, 3, 13, 17, 1, 77, 143, 167, 255, 1709, 2089, 7465, 4805, 16185, 15167, 20493, 240855, 0};
static int joe_kuo_d6_initial_number18925[] = {1, 1, 5, 1, 11, 43, 107, 175, 93, 955, 615, 2923, 3637, 7451, 18847, 53467, 12463, 127249, 0};
static int joe_kuo_d6_initial_number18926[] = {1, 1, 3, 13, 31, 1, 61, 113, 479, 777, 1805, 3625, 6299, 12221, 29599, 60175, 31165, 122815, 0};
static int joe_kuo_d6_initial_number18927[] = {1, 3, 3, 11, 11, 29, 89, 129, 195, 337, 1843, 2769, 1747, 7137, 9901, 18459, 25215, 70609, 0};
static int joe_kuo_d6_initial_number18928[] = {1, 1, 3, 7, 17, 35, 55, 81, 413, 25, 1505, 2185, 3121, 11435, 17885, 12543, 36767, 64039, 0};
static int joe_kuo_d6_initial_number18929[] = {1, 3, 1, 13, 25, 9, 83, 25, 5, 49, 1975, 3967, 4135, 13213, 26479, 63913, 14921, 96193, 0};
static int joe_kuo_d6_initial_number18930[] = {1, 3, 7, 5, 17, 15, 101, 47, 245, 821, 1275, 3343, 5471, 5045, 31741, 3319, 8141, 95501, 0};
static int joe_kuo_d6_initial_number18931[] = {1, 3, 1, 13, 1, 5, 105, 39, 175, 439, 1625, 249, 4859, 12449, 30529, 45669, 49071, 214037, 0};
static int joe_kuo_d6_initial_number18932[] = {1, 1, 7, 7, 17, 21, 83, 123, 261, 559, 1967, 2933, 4417, 8331, 10119, 21793, 128729, 187247, 0};
static int joe_kuo_d6_initial_number18933[] = {1, 1, 7, 9, 15, 43, 77, 231, 241, 419, 503, 3335, 927, 2567, 31259, 52453, 114441, 257449, 0};
static int joe_kuo_d6_initial_number18934[] = {1, 3, 3, 1, 9, 29, 21, 89, 311, 185, 519, 271, 3595, 8951, 6105, 64593, 38209, 120491, 0};
static int joe_kuo_d6_initial_number18935[] = {1, 1, 7, 9, 1, 57, 65, 5, 275, 615, 801, 2839, 2851, 15609, 28731, 31223, 87725, 437, 0};
static int joe_kuo_d6_initial_number18936[] = {1, 3, 3, 5, 29, 3, 67, 53, 17, 499, 263, 651, 7963, 5371, 11593, 34761, 57427, 84979, 0};
static int joe_kuo_d6_initial_number18937[] = {1, 3, 7, 11, 15, 9, 33, 165, 313, 659, 909, 969, 2309, 2197, 27263, 35273, 52887, 236107, 0};
static int joe_kuo_d6_initial_number18938[] = {1, 1, 7, 1, 13, 17, 29, 3, 329, 573, 619, 1013, 6947, 7031, 30773, 41129, 116481, 184233, 0};
static int joe_kuo_d6_initial_number18939[] = {1, 1, 5, 9, 13, 5, 87, 235, 63, 759, 1143, 1861, 3783, 2735, 26191, 64387, 3651, 119447, 0};
static int joe_kuo_d6_initial_number18940[] = {1, 1, 3, 7, 15, 41, 117, 135, 273, 655, 251, 1859, 4363, 14725, 29385, 6269, 91505, 82679, 0};
static int joe_kuo_d6_initial_number18941[] = {1, 3, 7, 3, 13, 21, 21, 9, 121, 899, 199, 1973, 7437, 9771, 26647, 30909, 118573, 152913, 0};
static int joe_kuo_d6_initial_number18942[] = {1, 3, 3, 9, 31, 43, 5, 249, 109, 183, 161, 1185, 4025, 10331, 20983, 28549, 122687, 183429, 0};
static int joe_kuo_d6_initial_number18943[] = {1, 3, 7, 7, 11, 45, 111, 99, 487, 971, 597, 1555, 273, 10403, 25289, 45483, 35845, 35791, 0};
static int joe_kuo_d6_initial_number18944[] = {1, 1, 1, 7, 11, 49, 125, 229, 279, 289, 1945, 3575, 5683, 15659, 31123, 12517, 79303, 255797, 0};
static int joe_kuo_d6_initial_number18945[] = {1, 3, 1, 15, 9, 23, 61, 53, 383, 855, 1743, 407, 4401, 7507, 26307, 56205, 110943, 184183, 0};
static int joe_kuo_d6_initial_number18946[] = {1, 3, 5, 13, 23, 29, 101, 243, 417, 925, 1267, 257, 5893, 4335, 6309, 43519, 126035, 99205, 0};
static int joe_kuo_d6_initial_number18947[] = {1, 3, 1, 5, 5, 35, 83, 25, 31, 455, 1799, 2919, 7037, 11829, 12239, 12969, 108469, 89513, 0};
static int joe_kuo_d6_initial_number18948[] = {1, 3, 5, 9, 17, 29, 61, 217, 183, 131, 425, 4025, 7141, 5445, 21497, 10603, 53423, 5701, 0};
static int joe_kuo_d6_initial_number18949[] = {1, 1, 1, 15, 27, 35, 9, 139, 261, 43, 587, 3835, 4627, 11689, 15739, 6031, 73547, 134271, 0};
static int joe_kuo_d6_initial_number18950[] = {1, 1, 3, 3, 25, 15, 7, 225, 29, 785, 2047, 2219, 6083, 7973, 17053, 56167, 83915, 87597, 0};
static int joe_kuo_d6_initial_number18951[] = {1, 3, 7, 15, 13, 43, 85, 121, 421, 867, 1895, 2437, 6003, 5269, 8625, 26877, 100023, 110229, 0};
static int joe_kuo_d6_initial_number18952[] = {1, 3, 3, 3, 25, 49, 121, 1, 125, 353, 1811, 1575, 3925, 13897, 26087, 24977, 105995, 242817, 0};
static int joe_kuo_d6_initial_number18953[] = {1, 1, 1, 9, 31, 55, 71, 241, 439, 927, 955, 109, 7779, 2397, 18797, 34177, 1255, 178671, 0};
static int joe_kuo_d6_initial_number18954[] = {1, 1, 7, 7, 5, 15, 99, 225, 49, 407, 1711, 4027, 4845, 9209, 20983, 33969, 14205, 9351, 0};
static int joe_kuo_d6_initial_number18955[] = {1, 3, 5, 1, 9, 13, 113, 143, 97, 189, 929, 1163, 2261, 9761, 30011, 32911, 117043, 169493, 0};
static int joe_kuo_d6_initial_number18956[] = {1, 1, 3, 5, 9, 35, 95, 77, 5, 95, 1745, 2013, 7009, 5427, 18969, 2771, 5099, 52939, 0};
static int joe_kuo_d6_initial_number18957[] = {1, 3, 7, 9, 13, 19, 31, 189, 367, 569, 95, 1665, 6231, 2169, 22589, 8427, 116097, 41077, 0};
static int joe_kuo_d6_initial_number18958[] = {1, 3, 7, 3, 31, 61, 45, 233, 327, 541, 87, 3449, 2767, 12237, 17747, 53827, 80389, 121489, 0};
static int joe_kuo_d6_initial_number18959[] = {1, 3, 7, 15, 31, 1, 49, 73, 157, 131, 553, 3417, 5283, 4737, 31675, 63213, 43689, 261869, 0};
static int joe_kuo_d6_initial_number18960[] = {1, 3, 7, 1, 3, 5, 113, 43, 343, 39, 135, 1555, 7955, 9851, 30983, 21955, 34871, 147649, 0};
static int joe_kuo_d6_initial_number18961[] = {1, 3, 5, 3, 5, 27, 15, 179, 141, 983, 265, 2651, 5907, 10501, 6275, 29629, 115965, 125745, 0};
static int joe_kuo_d6_initial_number18962[] = {1, 3, 7, 13, 1, 1, 81, 105, 309, 457, 1817, 3435, 4615, 1181, 27835, 26075, 63447, 44701, 0};
static int joe_kuo_d6_initial_number18963[] = {1, 1, 5, 5, 25, 19, 85, 103, 409, 323, 2001, 3719, 3403, 1301, 19615, 47829, 109905, 65777, 0};
static int joe_kuo_d6_initial_number18964[] = {1, 3, 5, 3, 21, 15, 47, 75, 467, 273, 1885, 3929, 1877, 5209, 6881, 34431, 35663, 100205, 0};
static int joe_kuo_d6_initial_number18965[] = {1, 1, 5, 3, 3, 9, 47, 143, 471, 653, 1011, 2263, 3673, 11921, 31207, 50365, 27177, 214377, 0};
static int joe_kuo_d6_initial_number18966[] = {1, 3, 1, 15, 3, 43, 81, 253, 495, 139, 679, 2207, 4603, 5269, 27133, 46461, 120783, 185595, 0};
static int joe_kuo_d6_initial_number18967[] = {1, 1, 7, 3, 13, 3, 109, 197, 477, 101, 859, 1035, 777, 10153, 15581, 22715, 17493, 120851, 0};
static int joe_kuo_d6_initial_number18968[] = {1, 3, 1, 3, 23, 5, 121, 67, 265, 935, 741, 3311, 541, 1093, 1639, 5941, 5587, 150345, 0};
static int joe_kuo_d6_initial_number18969[] = {1, 3, 1, 5, 3, 13, 65, 173, 493, 303, 359, 3813, 6007, 1105, 12185, 10431, 17117, 164899, 0};
static int joe_kuo_d6_initial_number18970[] = {1, 3, 3, 1, 25, 33, 71, 181, 149, 7, 333, 1981, 2981, 14683, 10997, 63373, 22605, 119681, 0};
static int joe_kuo_d6_initial_number18971[] = {1, 1, 1, 15, 29, 35, 89, 21, 281, 175, 587, 3117, 7221, 8239, 26399, 49133, 65895, 142175, 0};
static int joe_kuo_d6_initial_number18972[] = {1, 3, 7, 15, 9, 9, 35, 161, 65, 749, 421, 3575, 6307, 2029, 11423, 63901, 102049, 26333, 0};
static int joe_kuo_d6_initial_number18973[] = {1, 3, 1, 13, 1, 45, 97, 41, 231, 245, 271, 1497, 3119, 6225, 21665, 12113, 67315, 62779, 0};
static int joe_kuo_d6_initial_number18974[] = {1, 1, 1, 7, 3, 29, 119, 193, 179, 353, 1015, 2803, 6869, 7653, 22309, 53421, 86969, 115549, 0};
static int joe_kuo_d6_initial_number18975[] = {1, 3, 3, 5, 17, 37, 49, 129, 195, 537, 1237, 2775, 6683, 699, 19181, 61125, 27483, 175645, 0};
static int joe_kuo_d6_initial_number18976[] = {1, 3, 7, 3, 7, 49, 107, 41, 285, 335, 1415, 4015, 1301, 6525, 32429, 9337, 87923, 176751, 0};
static int joe_kuo_d6_initial_number18977[] = {1, 1, 5, 9, 21, 43, 91, 25, 225, 311, 417, 303, 2629, 3609, 29987, 28647, 104173, 52383, 0};
static int joe_kuo_d6_initial_number18978[] = {1, 3, 5, 9, 13, 47, 75, 143, 109, 173, 503, 3843, 1767, 9433, 10009, 5653, 87339, 212975, 0};
static int joe_kuo_d6_initial_number18979[] = {1, 3, 1, 13, 13, 55, 123, 95, 499, 245, 1875, 3661, 7661, 6927, 21003, 51729, 88089, 89063, 0};
static int joe_kuo_d6_initial_number18980[] = {1, 1, 3, 1, 31, 7, 93, 35, 169, 191, 1079, 2137, 4401, 1563, 20021, 9101, 66881, 231589, 0};
static int joe_kuo_d6_initial_number18981[] = {1, 3, 1, 15, 21, 41, 75, 231, 459, 701, 1715, 2581, 4445, 5877, 4765, 1037, 15827, 189529, 0};
static int joe_kuo_d6_initial_number18982[] = {1, 3, 5, 13, 17, 23, 41, 133, 143, 297, 1335, 3907, 7745, 5139, 9397, 5765, 5347, 243091, 0};
static int joe_kuo_d6_initial_number18983[] = {1, 1, 5, 13, 7, 15, 31, 183, 315, 153, 785, 2723, 97, 14361, 10509, 17717, 46615, 133289, 0};
static int joe_kuo_d6_initial_number18984[] = {1, 3, 7, 9, 13, 3, 75, 103, 445, 409, 603, 201, 1873, 9277, 23953, 6881, 64327, 196771, 0};
static int joe_kuo_d6_initial_number18985[] = {1, 1, 7, 13, 15, 21, 73, 183, 419, 997, 857, 1373, 3855, 417, 10175, 5253, 66509, 15731, 0};
static int joe_kuo_d6_initial_number18986[] = {1, 3, 3, 9, 19, 7, 15, 119, 497, 25, 1165, 105, 2605, 15097, 28241, 2269, 519, 235655, 0};
static int joe_kuo_d6_initial_number18987[] = {1, 3, 3, 9, 27, 9, 103, 205, 97, 317, 1621, 971, 931, 9099, 24583, 12695, 122399, 78021, 0};
static int joe_kuo_d6_initial_number18988[] = {1, 1, 3, 5, 27, 45, 41, 239, 87, 603, 317, 3507, 7677, 9141, 26721, 40225, 80515, 205263, 0};
static int joe_kuo_d6_initial_number18989[] = {1, 1, 3, 1, 25, 3, 63, 165, 41, 783, 291, 1997, 3769, 1881, 30613, 18821, 86175, 38837, 0};
static int joe_kuo_d6_initial_number18990[] = {1, 1, 3, 5, 17, 19, 95, 17, 357, 587, 689, 3127, 6999, 6703, 23923, 55945, 97629, 210177, 0};
static int joe_kuo_d6_initial_number18991[] = {1, 1, 3, 15, 21, 55, 63, 229, 397, 1007, 779, 2105, 681, 10659, 26679, 681, 115901, 83627, 0};
static int joe_kuo_d6_initial_number18992[] = {1, 1, 7, 11, 25, 9, 47, 133, 109, 17, 697, 749, 5529, 9289, 29675, 2631, 15247, 13913, 0};
static int joe_kuo_d6_initial_number18993[] = {1, 1, 7, 7, 3, 55, 29, 13, 467, 889, 675, 1187, 3301, 13721, 13783, 44559, 78177, 114219, 0};
static int joe_kuo_d6_initial_number18994[] = {1, 3, 5, 13, 15, 11, 77, 71, 313, 427, 1385, 2007, 4003, 1529, 4797, 12289, 24897, 129513, 0};
static int joe_kuo_d6_initial_number18995[] = {1, 1, 3, 11, 9, 47, 103, 253, 345, 659, 1109, 3493, 2515, 5669, 30551, 25077, 97393, 252689, 0};
static int joe_kuo_d6_initial_number18996[] = {1, 3, 7, 9, 25, 19, 69, 161, 365, 51, 1365, 1045, 4319, 10035, 15529, 23251, 44359, 62163, 0};
static int joe_kuo_d6_initial_number18997[] = {1, 3, 1, 7, 3, 25, 119, 33, 19, 561, 659, 2741, 6177, 899, 30911, 9627, 83003, 12939, 0};
static int joe_kuo_d6_initial_number18998[] = {1, 3, 7, 1, 13, 37, 19, 161, 427, 621, 1045, 1963, 6067, 4439, 32507, 32775, 5201, 144645, 0};
static int joe_kuo_d6_initial_number18999[] = {1, 1, 5, 7, 31, 17, 89, 239, 317, 109, 1827, 1395, 1587, 14813, 29911, 63545, 22939, 235383, 0};
static int joe_kuo_d6_initial_number19000[] = {1, 1, 7, 15, 1, 17, 41, 123, 405, 539, 1063, 1443, 4611, 1847, 24107, 29365, 85859, 218601, 0};
static int joe_kuo_d6_initial_number19001[] = {1, 1, 5, 13, 21, 27, 101, 223, 245, 705, 1579, 679, 5461, 8955, 15031, 7731, 31219, 165033, 0};
static int joe_kuo_d6_initial_number19002[] = {1, 1, 7, 11, 19, 29, 13, 223, 179, 481, 761, 1543, 3195, 10695, 17147, 37577, 130901, 44699, 0};
static int joe_kuo_d6_initial_number19003[] = {1, 1, 7, 3, 19, 53, 49, 1, 393, 583, 1183, 2817, 1293, 12949, 15491, 44467, 86261, 220439, 0};
static int joe_kuo_d6_initial_number19004[] = {1, 3, 7, 15, 15, 47, 7, 125, 467, 511, 1207, 3787, 5575, 5359, 3859, 29933, 104627, 243073, 0};
static int joe_kuo_d6_initial_number19005[] = {1, 1, 1, 13, 27, 25, 17, 243, 477, 457, 1835, 2859, 1023, 10107, 26829, 49853, 114569, 250471, 0};
static int joe_kuo_d6_initial_number19006[] = {1, 3, 1, 15, 11, 43, 15, 235, 431, 671, 1935, 1143, 4121, 15403, 19313, 15919, 111961, 50455, 0};
static int joe_kuo_d6_initial_number19007[] = {1, 3, 3, 3, 11, 45, 107, 143, 353, 671, 1259, 1599, 6075, 10645, 9131, 28133, 58679, 29883, 0};
static int joe_kuo_d6_initial_number19008[] = {1, 3, 5, 15, 15, 43, 29, 171, 303, 71, 1751, 411, 7615, 12063, 26829, 31469, 34335, 3163, 0};
static int joe_kuo_d6_initial_number19009[] = {1, 1, 7, 7, 25, 63, 25, 25, 27, 671, 505, 1235, 1985, 2593, 30031, 3251, 94729, 248911, 0};
static int joe_kuo_d6_initial_number19010[] = {1, 1, 3, 1, 19, 15, 125, 133, 133, 209, 1749, 2091, 6325, 1275, 5675, 2249, 22631, 56293, 0};
static int joe_kuo_d6_initial_number19011[] = {1, 1, 5, 1, 19, 27, 25, 99, 211, 739, 565, 3903, 7701, 7547, 12303, 5421, 24663, 22807, 0};
static int joe_kuo_d6_initial_number19012[] = {1, 3, 5, 13, 5, 45, 99, 67, 21, 269, 851, 3333, 4555, 12483, 14645, 44757, 99047, 198521, 0};
static int joe_kuo_d6_initial_number19013[] = {1, 1, 5, 13, 19, 1, 123, 87, 109, 799, 591, 2997, 1005, 16369, 10329, 34541, 100935, 200397, 0};
static int joe_kuo_d6_initial_number19014[] = {1, 3, 5, 1, 13, 51, 93, 23, 19, 23, 965, 171, 6865, 3561, 23255, 44295, 87405, 222269, 0};
static int joe_kuo_d6_initial_number19015[] = {1, 1, 3, 5, 1, 53, 25, 129, 123, 737, 271, 61, 113, 8481, 27075, 58633, 21499, 156689, 0};
static int joe_kuo_d6_initial_number19016[] = {1, 3, 3, 11, 3, 43, 11, 123, 243, 1015, 1389, 3663, 1725, 6933, 5315, 7137, 127705, 56607, 0};
static int joe_kuo_d6_initial_number19017[] = {1, 1, 5, 13, 7, 23, 43, 103, 503, 173, 267, 1509, 3311, 9553, 28851, 15771, 28741, 236427, 0};
static int joe_kuo_d6_initial_number19018[] = {1, 1, 5, 15, 27, 43, 119, 3, 13, 107, 317, 3725, 6669, 4945, 30485, 10155, 96893, 154081, 0};
static int joe_kuo_d6_initial_number19019[] = {1, 3, 7, 5, 11, 21, 61, 99, 155, 45, 569, 1325, 673, 15803, 12047, 55431, 9515, 106969, 0};
static int joe_kuo_d6_initial_number19020[] = {1, 1, 7, 11, 27, 49, 121, 145, 105, 223, 1471, 1163, 3889, 4213, 21195, 45649, 14663, 82799, 0};
static int joe_kuo_d6_initial_number19021[] = {1, 1, 3, 3, 31, 21, 17, 85, 31, 695, 1591, 2465, 907, 11621, 29681, 13131, 77187, 175913, 0};
static int joe_kuo_d6_initial_number19022[] = {1, 3, 5, 5, 21, 49, 77, 229, 359, 825, 1851, 1223, 3351, 5349, 30971, 20797, 26975, 94425, 0};
static int joe_kuo_d6_initial_number19023[] = {1, 1, 3, 1, 3, 63, 23, 219, 503, 47, 1675, 1641, 5257, 8035, 29793, 30093, 44897, 235691, 0};
static int joe_kuo_d6_initial_number19024[] = {1, 1, 7, 9, 27, 37, 109, 33, 511, 203, 1195, 3281, 407, 15237, 28485, 21379, 106325, 231755, 0};
static int joe_kuo_d6_initial_number19025[] = {1, 3, 1, 3, 9, 45, 19, 31, 255, 799, 909, 767, 421, 3301, 18557, 15043, 48505, 36763, 0};
static int joe_kuo_d6_initial_number19026[] = {1, 3, 7, 13, 1, 45, 59, 233, 319, 265, 517, 1571, 4593, 12813, 30729, 19517, 70345, 142411, 0};
static int joe_kuo_d6_initial_number19027[] = {1, 1, 1, 13, 17, 15, 79, 93, 265, 381, 285, 253, 919, 3715, 30555, 38801, 30439, 51511, 0};
static int joe_kuo_d6_initial_number19028[] = {1, 1, 7, 15, 25, 39, 71, 57, 145, 487, 1655, 2589, 7655, 8413, 24537, 36761, 36427, 88929, 0};
static int joe_kuo_d6_initial_number19029[] = {1, 1, 3, 3, 29, 41, 61, 191, 97, 849, 911, 3269, 5425, 13997, 7749, 537, 113705, 179765, 0};
static int joe_kuo_d6_initial_number19030[] = {1, 1, 5, 9, 13, 55, 33, 221, 27, 521, 13, 2847, 6035, 8397, 6579, 29353, 101953, 88983, 0};
static int joe_kuo_d6_initial_number19031[] = {1, 3, 3, 13, 31, 47, 97, 177, 373, 353, 159, 249, 4741, 7427, 8353, 38617, 13857, 122081, 0};
static int joe_kuo_d6_initial_number19032[] = {1, 3, 5, 15, 13, 21, 1, 239, 369, 253, 1009, 1927, 5111, 2219, 28167, 32013, 51487, 210521, 0};
static int joe_kuo_d6_initial_number19033[] = {1, 3, 5, 9, 17, 21, 37, 105, 405, 39, 321, 1515, 3759, 15469, 13643, 60157, 72127, 233505, 0};
static int joe_kuo_d6_initial_number19034[] = {1, 3, 7, 5, 1, 3, 3, 125, 283, 757, 829, 2303, 3715, 6027, 17795, 37359, 54721, 5891, 0};
static int joe_kuo_d6_initial_number19035[] = {1, 3, 7, 15, 27, 63, 117, 101, 341, 965, 1543, 51, 3397, 14051, 9889, 64647, 111169, 249477, 0};
static int joe_kuo_d6_initial_number19036[] = {1, 1, 5, 13, 5, 29, 51, 61, 233, 685, 751, 163, 2319, 14691, 29881, 39029, 57093, 240147, 0};
static int joe_kuo_d6_initial_number19037[] = {1, 3, 5, 3, 9, 21, 107, 147, 263, 471, 621, 3485, 197, 13271, 24689, 64341, 110163, 142711, 0};
static int joe_kuo_d6_initial_number19038[] = {1, 3, 1, 7, 1, 23, 17, 31, 131, 631, 795, 3751, 5337, 9151, 2873, 31113, 65303, 244969, 0};
static int joe_kuo_d6_initial_number19039[] = {1, 1, 5, 11, 3, 51, 93, 155, 389, 859, 1181, 2711, 1375, 6119, 229, 47767, 115521, 114129, 0};
static int joe_kuo_d6_initial_number19040[] = {1, 3, 3, 15, 5, 7, 29, 187, 259, 911, 1537, 1885, 6139, 4549, 21655, 58771, 1003, 124609, 0};
static int joe_kuo_d6_initial_number19041[] = {1, 1, 3, 15, 25, 45, 97, 217, 331, 305, 1105, 3465, 3651, 10171, 31601, 6947, 4545, 232627, 0};
static int joe_kuo_d6_initial_number19042[] = {1, 1, 5, 5, 9, 53, 109, 201, 473, 201, 1113, 973, 1825, 13089, 1207, 9947, 92515, 216199, 0};
static int joe_kuo_d6_initial_number19043[] = {1, 3, 7, 3, 1, 49, 25, 109, 249, 489, 1663, 3493, 4615, 13899, 27851, 60711, 14351, 41787, 0};
static int joe_kuo_d6_initial_number19044[] = {1, 3, 3, 7, 3, 15, 29, 53, 61, 669, 371, 2187, 6769, 4623, 25785, 12997, 52263, 28387, 0};
static int joe_kuo_d6_initial_number19045[] = {1, 1, 1, 3, 9, 31, 69, 3, 441, 219, 285, 183, 1971, 10903, 8271, 19389, 61913, 203537, 0};
static int joe_kuo_d6_initial_number19046[] = {1, 1, 5, 3, 9, 63, 117, 131, 53, 525, 1349, 2701, 1317, 6047, 1661, 51785, 93199, 158645, 0};
static int joe_kuo_d6_initial_number19047[] = {1, 3, 5, 3, 21, 61, 11, 91, 317, 635, 61, 1919, 2139, 12817, 6587, 63201, 52659, 8971, 0};
static int joe_kuo_d6_initial_number19048[] = {1, 3, 1, 9, 11, 47, 49, 35, 115, 711, 511, 835, 3787, 837, 15737, 7467, 53263, 132047, 0};
static int joe_kuo_d6_initial_number19049[] = {1, 1, 5, 3, 27, 47, 121, 211, 65, 363, 1067, 3813, 6353, 13701, 23943, 7573, 112721, 219587, 0};
static int joe_kuo_d6_initial_number19050[] = {1, 1, 3, 7, 21, 39, 15, 199, 113, 517, 1429, 1399, 6007, 1389, 16425, 17709, 1231, 51803, 0};
static int joe_kuo_d6_initial_number19051[] = {1, 3, 5, 11, 5, 37, 35, 97, 215, 281, 517, 1777, 4171, 10161, 18369, 23233, 83005, 75519, 0};
static int joe_kuo_d6_initial_number19052[] = {1, 3, 7, 9, 3, 9, 69, 111, 135, 351, 971, 3551, 3739, 3571, 22861, 62669, 83723, 10707, 0};
static int joe_kuo_d6_initial_number19053[] = {1, 3, 3, 5, 31, 35, 103, 205, 321, 553, 409, 363, 4085, 7735, 5513, 64249, 127883, 147839, 0};
static int joe_kuo_d6_initial_number19054[] = {1, 1, 7, 3, 23, 35, 85, 231, 251, 237, 421, 757, 7081, 11247, 24941, 22649, 51111, 157383, 0};
static int joe_kuo_d6_initial_number19055[] = {1, 3, 7, 5, 23, 35, 7, 101, 491, 529, 1437, 489, 5057, 12955, 27543, 60903, 104151, 42545, 0};
static int joe_kuo_d6_initial_number19056[] = {1, 1, 3, 15, 23, 53, 85, 89, 247, 269, 1555, 3789, 467, 11145, 11751, 44343, 120117, 9975, 0};
static int joe_kuo_d6_initial_number19057[] = {1, 1, 5, 3, 29, 49, 123, 179, 311, 45, 1839, 2725, 7307, 5525, 32075, 7979, 107751, 133677, 0};
static int joe_kuo_d6_initial_number19058[] = {1, 1, 5, 3, 31, 21, 65, 229, 31, 597, 755, 2653, 2699, 2075, 11693, 28953, 55811, 13653, 0};
static int joe_kuo_d6_initial_number19059[] = {1, 1, 1, 7, 25, 51, 119, 21, 245, 493, 407, 2997, 4255, 15487, 26359, 24153, 42955, 142191, 0};
static int joe_kuo_d6_initial_number19060[] = {1, 1, 5, 3, 27, 61, 13, 209, 13, 401, 399, 2909, 3623, 8057, 21301, 32273, 112127, 210221, 0};
static int joe_kuo_d6_initial_number19061[] = {1, 3, 5, 13, 3, 19, 121, 19, 57, 583, 947, 3591, 5283, 10831, 20429, 54097, 7559, 112465, 0};
static int joe_kuo_d6_initial_number19062[] = {1, 3, 5, 1, 21, 1, 125, 245, 217, 165, 1319, 2119, 4641, 9481, 4147, 7079, 119015, 128401, 0};
static int joe_kuo_d6_initial_number19063[] = {1, 1, 5, 3, 3, 31, 25, 63, 17, 191, 497, 819, 1515, 11215, 24961, 7679, 125801, 239521, 0};
static int joe_kuo_d6_initial_number19064[] = {1, 1, 5, 1, 3, 25, 27, 43, 37, 863, 739, 2585, 773, 799, 17649, 21171, 123541, 164777, 0};
static int joe_kuo_d6_initial_number19065[] = {1, 3, 5, 7, 7, 25, 15, 251, 305, 159, 1941, 3655, 2881, 15123, 10911, 35541, 62221, 175845, 0};
static int joe_kuo_d6_initial_number19066[] = {1, 1, 1, 9, 19, 5, 103, 1, 417, 951, 139, 2413, 2983, 15471, 9495, 41349, 110175, 29501, 0};
static int joe_kuo_d6_initial_number19067[] = {1, 1, 1, 5, 29, 53, 95, 173, 211, 803, 1599, 4093, 5559, 15855, 12271, 12583, 102221, 203453, 0};
static int joe_kuo_d6_initial_number19068[] = {1, 3, 5, 5, 19, 43, 31, 175, 493, 289, 1865, 2925, 3833, 11327, 23337, 62669, 99485, 230583, 0};
static int joe_kuo_d6_initial_number19069[] = {1, 3, 3, 11, 11, 25, 95, 215, 501, 421, 725, 1571, 2133, 2761, 8649, 45359, 88851, 55057, 0};
static int joe_kuo_d6_initial_number19070[] = {1, 1, 7, 7, 21, 45, 69, 63, 399, 929, 1431, 3397, 3613, 14595, 10417, 62913, 106283, 120869, 0};
static int joe_kuo_d6_initial_number19071[] = {1, 3, 7, 15, 13, 45, 11, 177, 125, 611, 1115, 2441, 2689, 12517, 8989, 34991, 23789, 51543, 0};
static int joe_kuo_d6_initial_number19072[] = {1, 1, 3, 1, 3, 15, 5, 125, 511, 137, 1919, 2953, 5267, 3543, 5485, 7463, 130407, 255945, 0};
static int joe_kuo_d6_initial_number19073[] = {1, 1, 3, 7, 7, 21, 95, 97, 51, 91, 813, 2819, 2839, 12041, 26197, 20143, 51403, 171337, 0};
static int joe_kuo_d6_initial_number19074[] = {1, 1, 1, 1, 7, 27, 15, 125, 441, 387, 1869, 2157, 5863, 581, 893, 58827, 104063, 93735, 0};
static int joe_kuo_d6_initial_number19075[] = {1, 3, 3, 7, 27, 9, 79, 97, 465, 207, 931, 2809, 2225, 13749, 18819, 30605, 9829, 130743, 0};
static int joe_kuo_d6_initial_number19076[] = {1, 3, 5, 13, 31, 41, 19, 147, 293, 725, 297, 397, 1343, 12669, 15339, 58599, 12113, 149835, 0};
static int joe_kuo_d6_initial_number19077[] = {1, 3, 3, 13, 27, 13, 121, 253, 349, 229, 915, 1673, 3819, 77, 20691, 53823, 78265, 138743, 0};
static int joe_kuo_d6_initial_number19078[] = {1, 1, 5, 5, 29, 41, 65, 235, 123, 871, 1809, 3013, 3531, 1551, 8441, 23481, 58729, 117639, 0};
static int joe_kuo_d6_initial_number19079[] = {1, 1, 7, 5, 23, 55, 89, 81, 201, 313, 1307, 2427, 2025, 8543, 26631, 58655, 122095, 247579, 0};
static int joe_kuo_d6_initial_number19080[] = {1, 3, 1, 5, 3, 63, 89, 219, 449, 9, 1771, 2915, 5925, 13773, 26119, 61309, 65107, 33001, 0};
static int joe_kuo_d6_initial_number19081[] = {1, 3, 7, 1, 27, 11, 25, 221, 139, 665, 1543, 2157, 7617, 9135, 567, 64985, 88749, 54223, 0};
static int joe_kuo_d6_initial_number19082[] = {1, 1, 3, 9, 13, 41, 7, 99, 483, 115, 1499, 3343, 7207, 1805, 16031, 63707, 8555, 90959, 0};
static int joe_kuo_d6_initial_number19083[] = {1, 3, 1, 9, 15, 53, 41, 239, 295, 47, 1645, 1095, 5163, 7739, 26635, 28245, 9315, 100629, 0};
static int joe_kuo_d6_initial_number19084[] = {1, 3, 1, 5, 1, 19, 69, 5, 171, 669, 673, 633, 6895, 7571, 11539, 25133, 99235, 7991, 0};
static int joe_kuo_d6_initial_number19085[] = {1, 3, 5, 11, 21, 37, 63, 77, 281, 307, 1711, 2671, 1315, 14683, 28757, 22751, 56477, 190805, 0};
static int joe_kuo_d6_initial_number19086[] = {1, 3, 3, 5, 15, 1, 5, 21, 199, 161, 655, 1263, 3315, 16051, 2409, 773, 9075, 121265, 0};
static int joe_kuo_d6_initial_number19087[] = {1, 3, 3, 3, 7, 23, 71, 195, 11, 263, 1845, 165, 3489, 447, 11315, 23861, 110949, 78909, 0};
static int joe_kuo_d6_initial_number19088[] = {1, 1, 7, 5, 1, 53, 37, 9, 439, 135, 909, 457, 6993, 11401, 14065, 30795, 56149, 168013, 0};
static int joe_kuo_d6_initial_number19089[] = {1, 1, 1, 15, 23, 37, 13, 87, 113, 251, 233, 725, 7757, 14399, 3023, 54277, 87879, 54053, 0};
static int joe_kuo_d6_initial_number19090[] = {1, 3, 5, 11, 11, 57, 109, 171, 171, 17, 343, 2749, 6525, 9735, 11715, 23783, 54439, 82819, 0};
static int joe_kuo_d6_initial_number19091[] = {1, 1, 1, 15, 3, 47, 73, 237, 399, 301, 947, 2055, 1909, 14105, 26893, 47805, 25, 172957, 0};
static int joe_kuo_d6_initial_number19092[] = {1, 1, 7, 7, 11, 27, 93, 167, 117, 637, 351, 319, 4605, 12897, 31001, 39655, 53551, 246113, 0};
static int joe_kuo_d6_initial_number19093[] = {1, 3, 5, 15, 3, 37, 25, 9, 421, 519, 257, 3251, 1649, 4069, 999, 59367, 112383, 32095, 0};
static int joe_kuo_d6_initial_number19094[] = {1, 3, 7, 7, 25, 57, 11, 37, 271, 545, 1213, 1927, 6471, 5145, 22995, 51051, 126981, 260457, 0};
static int joe_kuo_d6_initial_number19095[] = {1, 3, 5, 11, 1, 61, 77, 201, 395, 199, 477, 103, 4069, 7003, 26371, 49145, 103839, 195661, 0};
static int joe_kuo_d6_initial_number19096[] = {1, 3, 3, 9, 13, 41, 25, 125, 161, 371, 179, 351, 7169, 7179, 21627, 57793, 104679, 158583, 0};
static int joe_kuo_d6_initial_number19097[] = {1, 3, 7, 11, 5, 7, 111, 163, 201, 783, 189, 273, 2751, 13917, 28501, 18261, 12755, 15521, 0};
static int joe_kuo_d6_initial_number19098[] = {1, 1, 5, 7, 3, 37, 121, 209, 503, 299, 1301, 3703, 2321, 99, 14953, 28087, 85059, 256911, 0};
static int joe_kuo_d6_initial_number19099[] = {1, 3, 3, 13, 3, 29, 95, 249, 383, 971, 1291, 13, 1587, 3447, 26477, 15837, 111141, 73899, 0};
static int joe_kuo_d6_initial_number19100[] = {1, 1, 7, 1, 17, 57, 31, 1, 219, 329, 19, 3841, 1829, 5179, 14945, 6625, 3783, 200583, 0};
static int joe_kuo_d6_initial_number19101[] = {1, 3, 1, 3, 1, 31, 23, 17, 209, 383, 297, 3065, 4323, 7847, 30189, 56541, 57535, 24853, 0};
static int joe_kuo_d6_initial_number19102[] = {1, 1, 3, 11, 31, 35, 125, 141, 251, 79, 161, 775, 2455, 6959, 26433, 39145, 26563, 665, 0};
static int joe_kuo_d6_initial_number19103[] = {1, 1, 7, 1, 11, 9, 9, 211, 231, 723, 1337, 1713, 3779, 2001, 23451, 27107, 64297, 254943, 0};
static int joe_kuo_d6_initial_number19104[] = {1, 3, 7, 15, 21, 55, 19, 159, 449, 837, 1259, 1851, 5061, 355, 21531, 63479, 114657, 139265, 0};
static int joe_kuo_d6_initial_number19105[] = {1, 1, 1, 3, 11, 55, 103, 179, 363, 567, 421, 981, 7221, 2077, 19339, 1155, 67019, 218231, 0};
static int joe_kuo_d6_initial_number19106[] = {1, 1, 7, 11, 3, 43, 55, 161, 347, 995, 1555, 3251, 1605, 13313, 4499, 19361, 60145, 71593, 0};
static int joe_kuo_d6_initial_number19107[] = {1, 1, 5, 3, 9, 15, 119, 213, 455, 241, 857, 683, 1247, 13085, 23919, 20365, 16303, 73263, 0};
static int joe_kuo_d6_initial_number19108[] = {1, 1, 3, 13, 25, 17, 45, 193, 375, 289, 1381, 3629, 3015, 15883, 20633, 7431, 108787, 233297, 0};
static int joe_kuo_d6_initial_number19109[] = {1, 1, 1, 15, 21, 57, 105, 91, 233, 961, 1623, 3849, 711, 3857, 32657, 5935, 85113, 38287, 0};
static int joe_kuo_d6_initial_number19110[] = {1, 3, 3, 3, 15, 31, 97, 217, 335, 385, 1661, 3927, 6849, 137, 28871, 56485, 32777, 260033, 0};
static int joe_kuo_d6_initial_number19111[] = {1, 1, 3, 13, 5, 61, 19, 255, 123, 481, 1865, 1815, 3047, 173, 25363, 1277, 6453, 174405, 0};
static int joe_kuo_d6_initial_number19112[] = {1, 3, 7, 13, 27, 9, 19, 21, 433, 857, 1931, 2927, 629, 7733, 13503, 48263, 67517, 26495, 0};
static int joe_kuo_d6_initial_number19113[] = {1, 1, 1, 3, 5, 43, 61, 239, 81, 585, 187, 1123, 3319, 8699, 20925, 40815, 76575, 169383, 0};
static int joe_kuo_d6_initial_number19114[] = {1, 3, 3, 3, 9, 49, 71, 225, 95, 365, 645, 237, 7829, 5727, 17031, 58971, 71415, 232423, 0};
static int joe_kuo_d6_initial_number19115[] = {1, 3, 5, 9, 25, 49, 113, 47, 105, 609, 1557, 2099, 2129, 8663, 24811, 25505, 38153, 185821, 0};
static int joe_kuo_d6_initial_number19116[] = {1, 3, 5, 13, 23, 55, 107, 17, 309, 807, 635, 1007, 6207, 3363, 7607, 25013, 4141, 171509, 0};
static int joe_kuo_d6_initial_number19117[] = {1, 1, 1, 13, 27, 35, 31, 89, 109, 879, 1845, 3999, 5415, 8777, 9605, 29703, 28149, 36469, 0};
static int joe_kuo_d6_initial_number19118[] = {1, 3, 1, 3, 13, 3, 51, 31, 479, 549, 1245, 2033, 961, 13893, 21829, 32791, 109497, 187425, 0};
static int joe_kuo_d6_initial_number19119[] = {1, 1, 5, 3, 19, 5, 25, 187, 173, 869, 201, 3851, 7369, 6229, 16577, 45623, 19859, 209855, 0};
static int joe_kuo_d6_initial_number19120[] = {1, 1, 7, 9, 1, 9, 53, 47, 289, 557, 999, 141, 3789, 3087, 30217, 24221, 81431, 157507, 0};
static int joe_kuo_d6_initial_number19121[] = {1, 1, 3, 9, 1, 25, 11, 73, 155, 155, 621, 4047, 6759, 5641, 28147, 8523, 69439, 92613, 0};
static int joe_kuo_d6_initial_number19122[] = {1, 3, 1, 5, 25, 23, 41, 79, 71, 793, 1381, 307, 7863, 16289, 28783, 5299, 128481, 222799, 0};
static int joe_kuo_d6_initial_number19123[] = {1, 1, 7, 1, 17, 33, 117, 111, 15, 249, 1397, 1349, 4883, 6009, 3179, 33509, 56355, 31937, 0};
static int joe_kuo_d6_initial_number19124[] = {1, 3, 5, 13, 29, 15, 41, 185, 91, 501, 571, 2889, 6901, 3875, 3737, 23657, 101587, 261181, 0};
static int joe_kuo_d6_initial_number19125[] = {1, 1, 7, 9, 21, 49, 33, 143, 19, 203, 75, 1353, 585, 7719, 11311, 48989, 10803, 51743, 0};
static int joe_kuo_d6_initial_number19126[] = {1, 1, 7, 13, 23, 31, 103, 209, 375, 817, 1461, 3657, 7931, 15893, 15065, 28721, 54299, 71147, 0};
static int joe_kuo_d6_initial_number19127[] = {1, 3, 7, 7, 7, 25, 37, 173, 355, 499, 247, 459, 7701, 2219, 11703, 20631, 128857, 125367, 0};
static int joe_kuo_d6_initial_number19128[] = {1, 1, 3, 5, 25, 61, 43, 135, 451, 667, 547, 443, 5071, 12671, 26975, 20131, 101545, 115281, 0};
static int joe_kuo_d6_initial_number19129[] = {1, 3, 3, 5, 9, 19, 75, 133, 211, 585, 1283, 3397, 3181, 65, 20213, 47725, 101883, 194749, 0};
static int joe_kuo_d6_initial_number19130[] = {1, 1, 1, 1, 19, 13, 75, 135, 111, 641, 765, 1631, 4711, 241, 15125, 38233, 95535, 177965, 0};
static int joe_kuo_d6_initial_number19131[] = {1, 1, 7, 13, 31, 1, 91, 61, 299, 35, 1327, 3903, 6193, 5589, 6331, 6321, 105741, 89639, 0};
static int joe_kuo_d6_initial_number19132[] = {1, 3, 3, 15, 1, 55, 11, 39, 171, 713, 973, 1827, 3487, 13057, 30775, 16881, 124989, 208193, 0};
static int joe_kuo_d6_initial_number19133[] = {1, 3, 7, 1, 21, 29, 19, 75, 397, 755, 1601, 2907, 6861, 10377, 23127, 2443, 86545, 3841, 0};
static int joe_kuo_d6_initial_number19134[] = {1, 3, 1, 11, 25, 33, 53, 195, 343, 425, 1523, 3051, 3115, 3205, 3457, 20521, 39187, 33307, 0};
static int joe_kuo_d6_initial_number19135[] = {1, 3, 5, 1, 25, 23, 47, 5, 133, 511, 1549, 2691, 7861, 4987, 2877, 38693, 37491, 22481, 0};
static int joe_kuo_d6_initial_number19136[] = {1, 1, 5, 15, 5, 55, 125, 231, 11, 451, 1443, 3865, 4115, 2379, 13675, 29953, 85721, 114859, 0};
static int joe_kuo_d6_initial_number19137[] = {1, 3, 1, 15, 19, 37, 29, 75, 483, 785, 1933, 2435, 1811, 2787, 32653, 23159, 80993, 26867, 0};
static int joe_kuo_d6_initial_number19138[] = {1, 1, 1, 15, 7, 27, 53, 99, 11, 693, 1085, 743, 939, 6461, 6391, 45913, 94037, 217039, 0};
static int joe_kuo_d6_initial_number19139[] = {1, 3, 3, 9, 19, 37, 93, 77, 363, 125, 1675, 347, 5599, 7771, 23549, 39945, 106931, 127959, 0};
static int joe_kuo_d6_initial_number19140[] = {1, 3, 1, 5, 27, 47, 107, 85, 31, 621, 1529, 2349, 7055, 889, 4663, 1705, 40011, 214775, 0};
static int joe_kuo_d6_initial_number19141[] = {1, 3, 1, 5, 11, 47, 35, 13, 139, 783, 1009, 845, 4139, 14713, 24191, 17597, 124923, 219657, 0};
static int joe_kuo_d6_initial_number19142[] = {1, 1, 7, 3, 3, 25, 63, 207, 361, 587, 763, 3027, 6523, 6783, 11203, 57313, 115397, 149921, 0};
static int joe_kuo_d6_initial_number19143[] = {1, 1, 7, 1, 21, 55, 109, 183, 487, 869, 195, 83, 3675, 13103, 12383, 63519, 48379, 256443, 0};
static int joe_kuo_d6_initial_number19144[] = {1, 3, 7, 13, 9, 21, 29, 163, 105, 871, 747, 2459, 7383, 439, 5223, 1655, 1469, 50345, 0};
static int joe_kuo_d6_initial_number19145[] = {1, 3, 1, 1, 15, 63, 37, 159, 385, 795, 1369, 1973, 6119, 6027, 23913, 52475, 80827, 198261, 0};
static int joe_kuo_d6_initial_number19146[] = {1, 3, 3, 11, 15, 5, 121, 231, 43, 907, 1621, 3895, 5075, 10865, 3123, 49657, 69827, 215813, 0};
static int joe_kuo_d6_initial_number19147[] = {1, 3, 1, 15, 7, 41, 75, 105, 87, 899, 629, 1699, 5861, 9279, 30107, 37443, 7555, 64461, 0};
static int joe_kuo_d6_initial_number19148[] = {1, 3, 1, 7, 9, 15, 119, 127, 121, 621, 1117, 1659, 605, 13705, 31181, 40063, 17257, 77645, 0};
static int joe_kuo_d6_initial_number19149[] = {1, 1, 5, 5, 3, 37, 95, 237, 379, 375, 903, 257, 4425, 14191, 9185, 57133, 82067, 73521, 0};
static int joe_kuo_d6_initial_number19150[] = {1, 1, 7, 15, 1, 43, 63, 45, 121, 669, 1775, 179, 7385, 3557, 17261, 379, 24759, 214831, 0};
static int joe_kuo_d6_initial_number19151[] = {1, 1, 3, 9, 31, 5, 43, 153, 451, 573, 1623, 2831, 4483, 7219, 27657, 47111, 58165, 145799, 0};
static int joe_kuo_d6_initial_number19152[] = {1, 1, 3, 11, 3, 11, 111, 83, 329, 807, 779, 1223, 6095, 7269, 22425, 19343, 11937, 10173, 0};
static int joe_kuo_d6_initial_number19153[] = {1, 1, 1, 13, 27, 15, 7, 111, 37, 663, 51, 3759, 6321, 8253, 737, 59501, 109595, 177827, 0};
static int joe_kuo_d6_initial_number19154[] = {1, 1, 3, 3, 29, 39, 79, 115, 307, 765, 331, 377, 1873, 14491, 11065, 11865, 76717, 29101, 0};
static int joe_kuo_d6_initial_number19155[] = {1, 3, 7, 3, 21, 45, 97, 213, 309, 3, 483, 3933, 1043, 8519, 22517, 34675, 78819, 172479, 0};
static int joe_kuo_d6_initial_number19156[] = {1, 3, 5, 3, 31, 51, 27, 137, 405, 427, 815, 43, 6551, 10971, 28589, 53077, 36639, 167661, 0};
static int joe_kuo_d6_initial_number19157[] = {1, 3, 1, 3, 29, 5, 111, 19, 343, 21, 557, 4067, 1525, 12793, 11513, 48869, 78035, 171531, 0};
static int joe_kuo_d6_initial_number19158[] = {1, 1, 5, 7, 25, 47, 53, 245, 135, 137, 1697, 2057, 3147, 15903, 26979, 2157, 43967, 207661, 0};
static int joe_kuo_d6_initial_number19159[] = {1, 1, 5, 3, 25, 11, 15, 59, 511, 307, 757, 3275, 1299, 10373, 11943, 54169, 32417, 21645, 0};
static int joe_kuo_d6_initial_number19160[] = {1, 3, 3, 11, 15, 15, 5, 137, 237, 741, 1613, 3565, 7359, 6181, 25953, 18137, 59759, 186693, 0};
static int joe_kuo_d6_initial_number19161[] = {1, 3, 5, 3, 19, 13, 99, 167, 45, 71, 1683, 3635, 7603, 14879, 23903, 14795, 58395, 11853, 0};
static int joe_kuo_d6_initial_number19162[] = {1, 3, 1, 7, 15, 45, 111, 111, 175, 567, 1031, 2255, 3895, 11861, 20195, 15461, 88411, 225713, 0};
static int joe_kuo_d6_initial_number19163[] = {1, 1, 7, 3, 5, 5, 85, 65, 231, 643, 1591, 219, 2929, 4845, 29327, 14769, 46629, 131367, 0};
static int joe_kuo_d6_initial_number19164[] = {1, 1, 5, 9, 29, 21, 47, 87, 113, 469, 1647, 2461, 3663, 5865, 6647, 41345, 39539, 220301, 0};
static int joe_kuo_d6_initial_number19165[] = {1, 1, 5, 11, 9, 55, 5, 147, 141, 181, 283, 1695, 6537, 11095, 10385, 36013, 111653, 182273, 0};
static int joe_kuo_d6_initial_number19166[] = {1, 1, 3, 5, 17, 45, 103, 253, 407, 151, 1585, 1585, 6661, 14579, 5723, 37641, 56813, 258819, 0};
static int joe_kuo_d6_initial_number19167[] = {1, 3, 3, 3, 5, 63, 85, 201, 87, 419, 1993, 737, 5859, 6049, 17393, 9453, 65915, 1731, 0};
static int joe_kuo_d6_initial_number19168[] = {1, 1, 3, 3, 3, 27, 97, 135, 137, 731, 1559, 3409, 5973, 15981, 19833, 8419, 33273, 44155, 0};
static int joe_kuo_d6_initial_number19169[] = {1, 3, 3, 9, 31, 55, 109, 191, 119, 59, 645, 1047, 7767, 8379, 13781, 52289, 31605, 186667, 0};
static int joe_kuo_d6_initial_number19170[] = {1, 3, 1, 15, 9, 1, 23, 31, 23, 311, 1879, 1939, 5509, 14573, 10501, 38867, 39131, 231151, 0};
static int joe_kuo_d6_initial_number19171[] = {1, 3, 7, 1, 31, 33, 33, 19, 475, 723, 795, 1793, 6639, 14349, 16639, 31473, 110411, 95703, 0};
static int joe_kuo_d6_initial_number19172[] = {1, 1, 5, 9, 11, 3, 39, 119, 455, 839, 513, 2423, 2219, 6059, 6125, 60995, 117701, 204057, 0};
static int joe_kuo_d6_initial_number19173[] = {1, 1, 1, 9, 5, 23, 87, 33, 59, 241, 1427, 3867, 1091, 14683, 21651, 7091, 38011, 63809, 0};
static int joe_kuo_d6_initial_number19174[] = {1, 1, 7, 15, 15, 23, 75, 227, 415, 1015, 2033, 1311, 6659, 5093, 14799, 65331, 96989, 170395, 0};
static int joe_kuo_d6_initial_number19175[] = {1, 3, 5, 15, 25, 61, 33, 179, 503, 875, 1853, 257, 6727, 9117, 16777, 29585, 110901, 231617, 0};
static int joe_kuo_d6_initial_number19176[] = {1, 1, 1, 15, 13, 53, 73, 151, 315, 887, 669, 3959, 5279, 1461, 15497, 40107, 9595, 252059, 0};
static int joe_kuo_d6_initial_number19177[] = {1, 3, 7, 13, 17, 45, 43, 61, 99, 555, 981, 3255, 6385, 8723, 24451, 45243, 68617, 171911, 0};
static int joe_kuo_d6_initial_number19178[] = {1, 3, 3, 11, 1, 29, 97, 219, 341, 597, 503, 773, 3777, 5431, 4581, 37169, 57269, 186377, 0};
static int joe_kuo_d6_initial_number19179[] = {1, 3, 1, 11, 15, 49, 119, 189, 279, 821, 1541, 1343, 4379, 5833, 26537, 29769, 121125, 202553, 0};
static int joe_kuo_d6_initial_number19180[] = {1, 3, 5, 9, 19, 23, 5, 197, 323, 101, 1155, 7, 5933, 3111, 19595, 36807, 40147, 153, 0};
static int joe_kuo_d6_initial_number19181[] = {1, 1, 5, 11, 17, 9, 83, 51, 185, 415, 367, 1431, 7803, 8253, 16283, 54545, 99733, 57777, 0};
static int joe_kuo_d6_initial_number19182[] = {1, 1, 5, 7, 5, 31, 41, 13, 33, 531, 1381, 781, 1699, 6321, 18125, 34567, 113253, 104181, 0};
static int joe_kuo_d6_initial_number19183[] = {1, 3, 1, 5, 1, 59, 37, 239, 343, 395, 121, 2181, 2485, 13825, 19127, 22689, 103023, 198213, 0};
static int joe_kuo_d6_initial_number19184[] = {1, 3, 1, 15, 29, 17, 11, 27, 413, 273, 1805, 2845, 8147, 10301, 5423, 29859, 85243, 190379, 0};
static int joe_kuo_d6_initial_number19185[] = {1, 3, 1, 15, 7, 61, 29, 135, 273, 951, 725, 1345, 4231, 13651, 31291, 6081, 85735, 96023, 0};
static int joe_kuo_d6_initial_number19186[] = {1, 1, 3, 11, 15, 29, 81, 129, 245, 295, 527, 3905, 4323, 5447, 21253, 51177, 105105, 48323, 0};
static int joe_kuo_d6_initial_number19187[] = {1, 1, 3, 13, 13, 45, 71, 43, 383, 95, 1689, 639, 4631, 15113, 28053, 49247, 128303, 183999, 0};
static int joe_kuo_d6_initial_number19188[] = {1, 1, 1, 3, 19, 31, 93, 35, 369, 765, 1201, 1625, 7683, 8719, 13843, 42723, 62323, 49431, 0};
static int joe_kuo_d6_initial_number19189[] = {1, 3, 3, 11, 5, 39, 49, 217, 109, 63, 1753, 2489, 6017, 403, 16657, 59577, 80255, 66071, 0};
static int joe_kuo_d6_initial_number19190[] = {1, 3, 5, 5, 11, 1, 79, 37, 261, 537, 1845, 3567, 3233, 16249, 9795, 2471, 69661, 118231, 0};
static int joe_kuo_d6_initial_number19191[] = {1, 3, 3, 1, 19, 61, 35, 253, 31, 19, 161, 2597, 5733, 8231, 26569, 38613, 121945, 137391, 0};
static int joe_kuo_d6_initial_number19192[] = {1, 3, 7, 3, 15, 25, 125, 231, 187, 797, 1237, 1767, 1557, 1095, 13613, 43325, 33801, 127881, 0};
static int joe_kuo_d6_initial_number19193[] = {1, 1, 1, 9, 23, 63, 75, 107, 311, 493, 471, 2985, 1861, 4285, 27125, 14961, 122567, 152033, 0};
static int joe_kuo_d6_initial_number19194[] = {1, 3, 5, 7, 9, 7, 43, 117, 203, 727, 101, 3831, 3201, 2327, 4675, 12085, 25131, 211835, 0};
static int joe_kuo_d6_initial_number19195[] = {1, 1, 7, 11, 17, 1, 5, 87, 291, 1023, 1345, 3879, 7739, 9201, 19573, 20037, 128711, 187263, 0};
static int joe_kuo_d6_initial_number19196[] = {1, 1, 3, 13, 25, 39, 71, 251, 365, 617, 1539, 2121, 3803, 8003, 23393, 56991, 56143, 223453, 0};
static int joe_kuo_d6_initial_number19197[] = {1, 3, 5, 13, 25, 61, 71, 139, 319, 399, 903, 3063, 3667, 275, 13297, 25285, 120417, 169613, 0};
static int joe_kuo_d6_initial_number19198[] = {1, 3, 1, 9, 9, 41, 59, 213, 195, 705, 313, 2313, 4993, 323, 24049, 30527, 27287, 80489, 0};
static int joe_kuo_d6_initial_number19199[] = {1, 1, 5, 1, 29, 57, 107, 161, 217, 295, 721, 3857, 1935, 14981, 12243, 38541, 51177, 248889, 0};
static int joe_kuo_d6_initial_number19200[] = {1, 1, 1, 15, 5, 25, 95, 137, 11, 215, 971, 1573, 4341, 4725, 8201, 33147, 87687, 187405, 0};
static int joe_kuo_d6_initial_number19201[] = {1, 3, 3, 9, 9, 13, 31, 3, 175, 309, 145, 2265, 4863, 7199, 23881, 15445, 123753, 126653, 0};
static int joe_kuo_d6_initial_number19202[] = {1, 1, 7, 3, 7, 43, 51, 191, 21, 639, 939, 691, 7823, 10529, 7757, 9291, 115045, 51539, 0};
static int joe_kuo_d6_initial_number19203[] = {1, 1, 7, 13, 7, 45, 91, 173, 73, 779, 1647, 2059, 1373, 16027, 4611, 45787, 699, 78905, 0};
static int joe_kuo_d6_initial_number19204[] = {1, 1, 5, 15, 5, 23, 123, 45, 265, 1009, 235, 1343, 5779, 209, 23263, 63163, 26079, 240905, 0};
static int joe_kuo_d6_initial_number19205[] = {1, 1, 1, 11, 19, 31, 75, 105, 71, 21, 1361, 2125, 6949, 2111, 10333, 61881, 112811, 85723, 0};
static int joe_kuo_d6_initial_number19206[] = {1, 3, 5, 7, 27, 17, 95, 35, 503, 181, 1885, 1097, 6019, 13745, 15009, 26343, 117727, 93017, 0};
static int joe_kuo_d6_initial_number19207[] = {1, 1, 3, 11, 27, 41, 109, 23, 365, 283, 1509, 3269, 5969, 14567, 27715, 429, 65813, 169391, 0};
static int joe_kuo_d6_initial_number19208[] = {1, 1, 5, 9, 11, 1, 23, 143, 401, 61, 993, 3029, 1901, 12947, 10439, 48661, 113863, 9353, 0};
static int joe_kuo_d6_initial_number19209[] = {1, 3, 7, 3, 15, 27, 123, 51, 403, 569, 75, 3837, 8167, 10875, 29861, 44133, 52385, 185515, 0};
static int joe_kuo_d6_initial_number19210[] = {1, 3, 3, 15, 15, 45, 3, 77, 439, 265, 103, 3715, 7889, 9241, 26511, 19063, 108239, 237233, 0};
static int joe_kuo_d6_initial_number19211[] = {1, 1, 5, 13, 7, 47, 7, 185, 155, 833, 1895, 1103, 6761, 4307, 19551, 2371, 41079, 207663, 0};
static int joe_kuo_d6_initial_number19212[] = {1, 1, 3, 7, 1, 49, 79, 127, 149, 383, 919, 3787, 6703, 8823, 15551, 28397, 11497, 144227, 0};
static int joe_kuo_d6_initial_number19213[] = {1, 1, 7, 15, 7, 5, 9, 161, 425, 275, 1943, 3003, 3615, 1417, 587, 20949, 9651, 101257, 0};
static int joe_kuo_d6_initial_number19214[] = {1, 3, 5, 11, 31, 11, 113, 201, 113, 889, 867, 3537, 7173, 3403, 4713, 29709, 50127, 55893, 0};
static int joe_kuo_d6_initial_number19215[] = {1, 3, 7, 11, 11, 17, 123, 97, 3, 1009, 1567, 3261, 8053, 4639, 24493, 64085, 73975, 123965, 0};
static int joe_kuo_d6_initial_number19216[] = {1, 1, 7, 1, 31, 7, 111, 137, 427, 615, 865, 2243, 3603, 5943, 1639, 22213, 81977, 77283, 0};
static int joe_kuo_d6_initial_number19217[] = {1, 1, 5, 11, 25, 63, 5, 19, 67, 469, 621, 2831, 1635, 11859, 23143, 29189, 43955, 87475, 0};
static int joe_kuo_d6_initial_number19218[] = {1, 3, 7, 15, 7, 61, 125, 207, 401, 567, 1943, 2645, 641, 15427, 24467, 41767, 122591, 48905, 0};
static int joe_kuo_d6_initial_number19219[] = {1, 3, 3, 5, 1, 61, 65, 169, 329, 489, 435, 1719, 491, 6189, 18383, 34973, 90611, 180991, 0};
static int joe_kuo_d6_initial_number19220[] = {1, 3, 7, 9, 25, 43, 115, 11, 289, 193, 263, 3885, 4881, 15669, 19757, 20073, 119873, 67069, 0};
static int joe_kuo_d6_initial_number19221[] = {1, 1, 7, 11, 3, 45, 93, 115, 233, 891, 1541, 2557, 2115, 2237, 4253, 30445, 32983, 86185, 0};
static int joe_kuo_d6_initial_number19222[] = {1, 3, 7, 3, 29, 23, 105, 51, 157, 505, 773, 2403, 1237, 5193, 32725, 53331, 66377, 25745, 0};
static int joe_kuo_d6_initial_number19223[] = {1, 3, 5, 11, 31, 5, 111, 251, 287, 225, 913, 97, 3429, 15111, 10637, 18843, 102589, 229667, 0};
static int joe_kuo_d6_initial_number19224[] = {1, 3, 7, 13, 21, 43, 27, 11, 265, 991, 1645, 1967, 2675, 3083, 2957, 65275, 7757, 201953, 0};
static int joe_kuo_d6_initial_number19225[] = {1, 3, 7, 7, 23, 59, 37, 105, 113, 961, 1585, 855, 6037, 8461, 24057, 46861, 42421, 21061, 0};
static int joe_kuo_d6_initial_number19226[] = {1, 1, 5, 1, 7, 45, 37, 147, 225, 793, 737, 753, 565, 5347, 15393, 42611, 39253, 246455, 0};
static int joe_kuo_d6_initial_number19227[] = {1, 3, 3, 5, 29, 59, 125, 69, 283, 677, 1615, 3341, 219, 10753, 445, 43343, 117035, 137907, 0};
static int joe_kuo_d6_initial_number19228[] = {1, 1, 5, 1, 19, 41, 93, 137, 481, 93, 703, 1211, 4051, 5591, 5913, 32831, 62027, 60519, 0};
static int joe_kuo_d6_initial_number19229[] = {1, 1, 7, 13, 17, 63, 65, 147, 361, 83, 1383, 1761, 579, 9493, 2611, 6951, 12197, 81857, 0};
static int joe_kuo_d6_initial_number19230[] = {1, 3, 3, 15, 11, 3, 25, 7, 221, 211, 1745, 1173, 5479, 12063, 5667, 43443, 4865, 193345, 0};
static int joe_kuo_d6_initial_number19231[] = {1, 1, 5, 11, 31, 11, 71, 61, 57, 851, 1089, 1395, 4525, 1223, 27681, 14355, 23125, 257233, 0};
static int joe_kuo_d6_initial_number19232[] = {1, 3, 1, 11, 25, 59, 17, 193, 229, 1005, 387, 3993, 2457, 4185, 18421, 1315, 125155, 142277, 0};
static int joe_kuo_d6_initial_number19233[] = {1, 1, 5, 11, 13, 55, 123, 191, 5, 1023, 705, 3481, 367, 12961, 11917, 12131, 99109, 105093, 0};
static int joe_kuo_d6_initial_number19234[] = {1, 1, 3, 11, 13, 29, 57, 57, 467, 19, 1409, 971, 3041, 13487, 24737, 3377, 97883, 248893, 0};
static int joe_kuo_d6_initial_number19235[] = {1, 3, 7, 3, 3, 37, 109, 77, 201, 469, 39, 1747, 2027, 14781, 18821, 34647, 123865, 195097, 0};
static int joe_kuo_d6_initial_number19236[] = {1, 3, 3, 5, 29, 27, 97, 217, 249, 141, 431, 1621, 539, 8945, 3443, 48227, 27867, 205355, 0};
static int joe_kuo_d6_initial_number19237[] = {1, 1, 3, 13, 7, 57, 65, 167, 103, 511, 239, 325, 1793, 2811, 14223, 40999, 12589, 149759, 0};
static int joe_kuo_d6_initial_number19238[] = {1, 3, 5, 11, 3, 1, 61, 87, 283, 29, 507, 3473, 2685, 13829, 32337, 8413, 12201, 152309, 0};
static int joe_kuo_d6_initial_number19239[] = {1, 3, 5, 15, 1, 23, 103, 173, 423, 915, 1519, 1859, 7341, 8689, 17141, 53769, 81189, 144305, 0};
static int joe_kuo_d6_initial_number19240[] = {1, 1, 1, 5, 31, 41, 89, 117, 329, 245, 381, 3357, 1053, 15079, 3569, 27665, 65645, 259279, 0};
static int joe_kuo_d6_initial_number19241[] = {1, 1, 7, 5, 3, 55, 91, 35, 463, 15, 1195, 533, 6013, 10755, 1919, 61169, 81285, 82757, 0};
static int joe_kuo_d6_initial_number19242[] = {1, 3, 5, 11, 3, 29, 85, 169, 163, 733, 939, 3401, 3709, 3307, 17329, 56873, 10721, 174235, 0};
static int joe_kuo_d6_initial_number19243[] = {1, 1, 5, 1, 11, 45, 75, 247, 435, 21, 1985, 2261, 7013, 4935, 2457, 41077, 53121, 143269, 0};
static int joe_kuo_d6_initial_number19244[] = {1, 3, 3, 13, 17, 59, 43, 149, 27, 1, 367, 957, 5607, 2591, 22161, 10095, 73769, 52455, 0};
static int joe_kuo_d6_initial_number19245[] = {1, 1, 3, 13, 15, 15, 121, 83, 469, 819, 1973, 3595, 2313, 1621, 3105, 42971, 7243, 98727, 0};
static int joe_kuo_d6_initial_number19246[] = {1, 1, 5, 7, 21, 53, 123, 9, 119, 437, 1567, 431, 3647, 10967, 22037, 8523, 81279, 126473, 0};
static int joe_kuo_d6_initial_number19247[] = {1, 1, 5, 13, 5, 23, 125, 119, 195, 555, 341, 2037, 313, 6323, 27201, 8377, 122793, 197781, 0};
static int joe_kuo_d6_initial_number19248[] = {1, 3, 3, 5, 17, 25, 67, 237, 349, 443, 1529, 3541, 3105, 10105, 13409, 20165, 64597, 244513, 0};
static int joe_kuo_d6_initial_number19249[] = {1, 1, 5, 1, 11, 43, 77, 245, 359, 625, 1171, 597, 3, 591, 2457, 20275, 75995, 204685, 0};
static int joe_kuo_d6_initial_number19250[] = {1, 3, 1, 11, 5, 13, 99, 107, 285, 617, 1687, 2959, 4439, 771, 3103, 62363, 89437, 172221, 0};
static int joe_kuo_d6_initial_number19251[] = {1, 3, 1, 11, 1, 63, 43, 85, 23, 95, 501, 1223, 669, 16101, 1071, 53175, 102101, 419, 0};
static int joe_kuo_d6_initial_number19252[] = {1, 3, 1, 5, 19, 23, 63, 105, 289, 419, 885, 441, 5107, 4213, 8683, 1847, 113301, 240821, 0};
static int joe_kuo_d6_initial_number19253[] = {1, 1, 1, 9, 9, 9, 111, 63, 53, 531, 517, 3463, 8171, 2645, 13883, 52213, 40707, 24637, 0};
static int joe_kuo_d6_initial_number19254[] = {1, 3, 1, 5, 15, 43, 71, 215, 117, 685, 1819, 1105, 5805, 8875, 31093, 31077, 93807, 65631, 0};
static int joe_kuo_d6_initial_number19255[] = {1, 1, 7, 7, 17, 15, 31, 87, 13, 615, 2003, 3461, 7585, 1947, 6693, 26141, 95059, 52229, 0};
static int joe_kuo_d6_initial_number19256[] = {1, 1, 3, 5, 5, 55, 7, 41, 473, 541, 545, 2901, 763, 12731, 24715, 43301, 7981, 123961, 0};
static int joe_kuo_d6_initial_number19257[] = {1, 3, 1, 11, 13, 29, 65, 47, 511, 931, 1681, 3813, 995, 4261, 32243, 21327, 33749, 52607, 0};
static int joe_kuo_d6_initial_number19258[] = {1, 1, 3, 1, 27, 51, 19, 119, 71, 989, 485, 1483, 4115, 11743, 5513, 32447, 62599, 163185, 0};
static int joe_kuo_d6_initial_number19259[] = {1, 3, 7, 13, 7, 5, 127, 67, 221, 773, 1641, 3763, 2061, 2025, 29813, 64385, 109219, 70149, 0};
static int joe_kuo_d6_initial_number19260[] = {1, 1, 5, 15, 9, 29, 105, 245, 333, 11, 803, 1877, 6735, 3797, 1913, 63837, 23649, 234721, 0};
static int joe_kuo_d6_initial_number19261[] = {1, 3, 7, 13, 11, 21, 113, 175, 385, 885, 1259, 983, 7715, 11889, 12515, 35723, 9897, 63415, 0};
static int joe_kuo_d6_initial_number19262[] = {1, 1, 5, 9, 31, 63, 53, 51, 375, 133, 2021, 3173, 3861, 9885, 4117, 37505, 73687, 16411, 0};
static int joe_kuo_d6_initial_number19263[] = {1, 3, 7, 7, 11, 13, 99, 235, 285, 159, 489, 917, 3033, 7711, 6545, 52893, 28549, 68791, 0};
static int joe_kuo_d6_initial_number19264[] = {1, 1, 5, 11, 31, 15, 89, 157, 105, 347, 455, 3391, 5341, 16035, 11819, 57679, 48057, 147673, 0};
static int joe_kuo_d6_initial_number19265[] = {1, 3, 1, 5, 21, 5, 1, 41, 213, 677, 1745, 2591, 6237, 14265, 5963, 30017, 47293, 199411, 0};
static int joe_kuo_d6_initial_number19266[] = {1, 3, 1, 15, 19, 9, 65, 103, 489, 977, 579, 2571, 2827, 12971, 24445, 17963, 68829, 89781, 0};
static int joe_kuo_d6_initial_number19267[] = {1, 3, 5, 7, 3, 45, 9, 223, 137, 749, 919, 2695, 7569, 6735, 16649, 55899, 91531, 10709, 0};
static int joe_kuo_d6_initial_number19268[] = {1, 1, 5, 11, 25, 51, 81, 243, 473, 85, 1189, 2317, 785, 9307, 25555, 36623, 66881, 150945, 0};
static int joe_kuo_d6_initial_number19269[] = {1, 1, 3, 7, 9, 17, 99, 57, 333, 891, 71, 2359, 2067, 13265, 30077, 17935, 47343, 22673, 0};
static int joe_kuo_d6_initial_number19270[] = {1, 1, 5, 7, 13, 17, 77, 109, 427, 667, 1367, 2383, 7505, 11239, 14229, 35431, 35473, 62447, 0};
static int joe_kuo_d6_initial_number19271[] = {1, 1, 1, 15, 27, 5, 51, 221, 471, 877, 449, 3961, 4197, 15713, 2955, 58985, 31431, 241539, 0};
static int joe_kuo_d6_initial_number19272[] = {1, 1, 7, 1, 13, 61, 55, 199, 87, 679, 723, 271, 1061, 8043, 13163, 8079, 81501, 60467, 0};
static int joe_kuo_d6_initial_number19273[] = {1, 1, 3, 3, 11, 1, 85, 65, 445, 731, 2017, 3113, 8085, 7133, 14789, 2435, 38459, 234997, 0};
static int joe_kuo_d6_initial_number19274[] = {1, 3, 3, 9, 23, 31, 49, 137, 349, 651, 1975, 3429, 7137, 7841, 28297, 58209, 36493, 259097, 0};
static int joe_kuo_d6_initial_number19275[] = {1, 1, 7, 15, 23, 11, 87, 133, 245, 445, 151, 4075, 141, 15395, 16649, 36925, 98421, 217265, 0};
static int joe_kuo_d6_initial_number19276[] = {1, 3, 3, 5, 25, 53, 57, 177, 481, 177, 671, 1249, 2663, 12855, 24537, 31867, 110323, 164113, 0};
static int joe_kuo_d6_initial_number19277[] = {1, 3, 5, 7, 23, 25, 19, 91, 447, 1023, 373, 3863, 4399, 12973, 7475, 37485, 8567, 53271, 0};
static int joe_kuo_d6_initial_number19278[] = {1, 1, 5, 7, 31, 33, 31, 75, 223, 299, 1549, 1863, 353, 4339, 8891, 10365, 3399, 185807, 0};
static int joe_kuo_d6_initial_number19279[] = {1, 1, 7, 9, 31, 53, 23, 203, 319, 915, 1923, 205, 3119, 7243, 25251, 12907, 101921, 102695, 0};
static int joe_kuo_d6_initial_number19280[] = {1, 1, 7, 9, 15, 1, 123, 173, 123, 215, 263, 3003, 5881, 1117, 15195, 47457, 66663, 224177, 0};
static int joe_kuo_d6_initial_number19281[] = {1, 1, 7, 13, 11, 25, 61, 121, 173, 115, 1897, 2145, 7783, 9673, 3321, 1707, 61475, 53875, 0};
static int joe_kuo_d6_initial_number19282[] = {1, 3, 7, 3, 31, 21, 27, 99, 421, 225, 1565, 2351, 2275, 10583, 7877, 43505, 27629, 140919, 0};
static int joe_kuo_d6_initial_number19283[] = {1, 3, 5, 5, 11, 45, 71, 105, 487, 867, 361, 3995, 2039, 1495, 27481, 4753, 20657, 67077, 0};
static int joe_kuo_d6_initial_number19284[] = {1, 1, 5, 1, 19, 33, 1, 77, 377, 353, 719, 1463, 7053, 7409, 32165, 15557, 117673, 69887, 0};
static int joe_kuo_d6_initial_number19285[] = {1, 1, 5, 7, 25, 5, 15, 231, 23, 213, 1627, 1801, 7793, 651, 9903, 51745, 111611, 39679, 0};
static int joe_kuo_d6_initial_number19286[] = {1, 3, 3, 5, 23, 43, 37, 199, 437, 19, 1853, 2119, 461, 12641, 15865, 39941, 122545, 213443, 0};
static int joe_kuo_d6_initial_number19287[] = {1, 3, 3, 11, 31, 45, 19, 227, 507, 909, 1501, 2021, 905, 1763, 1897, 3735, 81475, 30005, 0};
static int joe_kuo_d6_initial_number19288[] = {1, 1, 5, 5, 29, 9, 55, 25, 23, 59, 593, 2197, 6029, 8235, 8397, 27521, 96221, 168837, 0};
static int joe_kuo_d6_initial_number19289[] = {1, 3, 1, 15, 5, 33, 75, 121, 433, 557, 1011, 3785, 2545, 953, 17295, 14407, 94871, 60445, 0};
static int joe_kuo_d6_initial_number19290[] = {1, 3, 3, 7, 7, 53, 29, 75, 171, 587, 1701, 3815, 2761, 4403, 39, 17291, 34897, 187257, 0};
static int joe_kuo_d6_initial_number19291[] = {1, 3, 1, 15, 17, 57, 11, 95, 335, 13, 265, 1161, 7945, 6419, 26723, 31907, 89995, 82265, 0};
static int joe_kuo_d6_initial_number19292[] = {1, 1, 7, 5, 9, 59, 27, 153, 37, 165, 823, 3525, 621, 4777, 3485, 9109, 116567, 34691, 0};
static int joe_kuo_d6_initial_number19293[] = {1, 1, 5, 13, 23, 27, 11, 63, 35, 39, 995, 2101, 2611, 14139, 2683, 63787, 19813, 97497, 0};
static int joe_kuo_d6_initial_number19294[] = {1, 3, 7, 15, 31, 15, 3, 163, 167, 53, 71, 1881, 4213, 3485, 21525, 705, 122345, 203549, 0};
static int joe_kuo_d6_initial_number19295[] = {1, 3, 5, 5, 21, 33, 85, 133, 21, 505, 1639, 3989, 771, 7171, 21953, 34503, 31247, 247459, 0};
static int joe_kuo_d6_initial_number19296[] = {1, 1, 7, 7, 31, 1, 27, 39, 469, 243, 679, 4091, 7137, 8505, 13329, 34139, 69485, 259795, 0};
static int joe_kuo_d6_initial_number19297[] = {1, 3, 5, 5, 31, 43, 31, 161, 413, 657, 1407, 1417, 7349, 3301, 7691, 49355, 22929, 68043, 0};
static int joe_kuo_d6_initial_number19298[] = {1, 1, 7, 11, 15, 61, 73, 217, 163, 503, 193, 3795, 41, 16251, 1187, 65363, 113211, 100337, 0};
static int joe_kuo_d6_initial_number19299[] = {1, 3, 1, 11, 9, 15, 109, 187, 109, 865, 845, 1579, 321, 1269, 20613, 5693, 58421, 254959, 0};
static int joe_kuo_d6_initial_number19300[] = {1, 3, 1, 13, 11, 3, 19, 135, 93, 779, 1383, 219, 2737, 377, 1125, 35663, 130815, 103797, 0};
static int joe_kuo_d6_initial_number19301[] = {1, 1, 5, 11, 25, 25, 71, 249, 201, 679, 1677, 1817, 7619, 10327, 14821, 47847, 33629, 250979, 0};
static int joe_kuo_d6_initial_number19302[] = {1, 1, 7, 15, 23, 19, 69, 39, 25, 843, 99, 3499, 2457, 11681, 30009, 17609, 46653, 162427, 0};
static int joe_kuo_d6_initial_number19303[] = {1, 3, 3, 7, 23, 25, 77, 135, 61, 501, 1381, 3977, 1957, 11255, 16053, 30297, 58835, 97589, 0};
static int joe_kuo_d6_initial_number19304[] = {1, 3, 5, 3, 9, 31, 9, 55, 421, 109, 1823, 1921, 7349, 2661, 4503, 36691, 48843, 182631, 0};
static int joe_kuo_d6_initial_number19305[] = {1, 1, 1, 11, 7, 23, 107, 125, 393, 105, 1407, 3461, 4539, 6121, 7881, 32407, 83749, 98831, 0};
static int joe_kuo_d6_initial_number19306[] = {1, 3, 3, 13, 5, 59, 5, 3, 185, 959, 241, 819, 1443, 1789, 12771, 26703, 25399, 182583, 0};
static int joe_kuo_d6_initial_number19307[] = {1, 1, 1, 3, 3, 47, 7, 45, 93, 373, 175, 87, 649, 12903, 5029, 1945, 111967, 140889, 0};
static int joe_kuo_d6_initial_number19308[] = {1, 3, 1, 11, 9, 47, 25, 191, 215, 845, 1557, 9, 3451, 5837, 11763, 29127, 113115, 99039, 0};
static int joe_kuo_d6_initial_number19309[] = {1, 1, 1, 5, 23, 53, 45, 1, 361, 751, 807, 1765, 685, 2109, 28437, 60489, 65739, 234511, 0};
static int joe_kuo_d6_initial_number19310[] = {1, 3, 3, 7, 15, 57, 71, 61, 195, 123, 1745, 3249, 351, 14309, 2017, 15653, 110803, 45937, 0};
static int joe_kuo_d6_initial_number19311[] = {1, 3, 7, 9, 25, 11, 25, 29, 467, 313, 1927, 2423, 7311, 14299, 8145, 8123, 115103, 213881, 0};
static int joe_kuo_d6_initial_number19312[] = {1, 1, 3, 15, 1, 35, 111, 99, 507, 417, 1433, 129, 5565, 13365, 18853, 8607, 109739, 120623, 0};
static int joe_kuo_d6_initial_number19313[] = {1, 1, 1, 7, 13, 31, 93, 3, 327, 67, 1101, 1965, 5939, 6505, 3117, 3021, 33707, 79353, 0};
static int joe_kuo_d6_initial_number19314[] = {1, 1, 3, 7, 15, 21, 23, 117, 367, 137, 287, 903, 4685, 13943, 26779, 24607, 70853, 99743, 0};
static int joe_kuo_d6_initial_number19315[] = {1, 1, 7, 11, 25, 43, 67, 181, 459, 737, 1567, 3491, 5085, 6487, 23115, 62341, 102943, 77301, 0};
static int joe_kuo_d6_initial_number19316[] = {1, 1, 3, 15, 7, 35, 81, 199, 455, 851, 835, 3421, 4675, 15173, 9205, 7305, 109849, 15183, 0};
static int joe_kuo_d6_initial_number19317[] = {1, 3, 5, 11, 9, 55, 3, 53, 235, 271, 1265, 3681, 3627, 3485, 11591, 53097, 85949, 158173, 0};
static int joe_kuo_d6_initial_number19318[] = {1, 3, 7, 3, 15, 27, 57, 183, 487, 9, 1797, 2973, 3687, 12987, 9133, 14595, 52067, 131217, 0};
static int joe_kuo_d6_initial_number19319[] = {1, 1, 5, 3, 7, 25, 19, 215, 291, 325, 813, 577, 4249, 10373, 17233, 29557, 72979, 70721, 0};
static int joe_kuo_d6_initial_number19320[] = {1, 3, 1, 7, 25, 1, 107, 167, 367, 303, 883, 993, 4189, 6557, 13697, 15251, 77065, 116127, 0};
static int joe_kuo_d6_initial_number19321[] = {1, 3, 5, 11, 13, 59, 9, 121, 489, 593, 1503, 601, 5263, 13837, 20991, 35761, 45867, 155905, 0};
static int joe_kuo_d6_initial_number19322[] = {1, 1, 3, 3, 19, 47, 127, 115, 267, 261, 969, 961, 5919, 10085, 29363, 4935, 100485, 75561, 0};
static int joe_kuo_d6_initial_number19323[] = {1, 3, 1, 15, 11, 53, 39, 187, 53, 11, 1951, 913, 965, 2565, 5457, 3237, 24923, 245681, 0};
static int joe_kuo_d6_initial_number19324[] = {1, 1, 7, 3, 15, 5, 25, 45, 17, 45, 1317, 1853, 6627, 15879, 29935, 24749, 118149, 35359, 0};
static int joe_kuo_d6_initial_number19325[] = {1, 1, 7, 1, 21, 45, 67, 71, 25, 743, 925, 3441, 3013, 1613, 6321, 12491, 119931, 164701, 0};
static int joe_kuo_d6_initial_number19326[] = {1, 1, 7, 1, 13, 15, 35, 187, 91, 995, 401, 2443, 4183, 10823, 20589, 27413, 117095, 20359, 0};
static int joe_kuo_d6_initial_number19327[] = {1, 3, 3, 7, 15, 51, 55, 167, 409, 859, 719, 3223, 2457, 16013, 13639, 4027, 79339, 225113, 0};
static int joe_kuo_d6_initial_number19328[] = {1, 3, 1, 9, 3, 29, 105, 193, 279, 27, 1093, 2199, 6983, 619, 10163, 40365, 71015, 102191, 0};
static int joe_kuo_d6_initial_number19329[] = {1, 1, 3, 9, 29, 5, 33, 247, 27, 299, 2017, 379, 6199, 15047, 18329, 3493, 47679, 76703, 0};
static int joe_kuo_d6_initial_number19330[] = {1, 3, 5, 5, 9, 19, 51, 129, 157, 831, 1373, 653, 7489, 13125, 1815, 10915, 88679, 50269, 0};
static int joe_kuo_d6_initial_number19331[] = {1, 3, 3, 9, 9, 49, 79, 11, 181, 679, 1697, 3707, 205, 13305, 6293, 56653, 42619, 116257, 0};
static int joe_kuo_d6_initial_number19332[] = {1, 1, 5, 9, 23, 41, 17, 135, 145, 715, 257, 1561, 6941, 2411, 31459, 25055, 35807, 51579, 0};
static int joe_kuo_d6_initial_number19333[] = {1, 1, 1, 7, 11, 13, 49, 155, 403, 569, 751, 2959, 425, 13949, 22047, 49829, 71925, 101647, 0};
static int joe_kuo_d6_initial_number19334[] = {1, 1, 3, 15, 15, 15, 17, 213, 113, 395, 1999, 2039, 3623, 13255, 24435, 54487, 78773, 202637, 0};
static int joe_kuo_d6_initial_number19335[] = {1, 3, 7, 9, 5, 21, 61, 165, 97, 349, 1131, 2677, 333, 13129, 2137, 22909, 95795, 143081, 0};
static int joe_kuo_d6_initial_number19336[] = {1, 1, 1, 5, 31, 41, 109, 179, 295, 475, 639, 3929, 1841, 7545, 19411, 52573, 10173, 236769, 0};
static int joe_kuo_d6_initial_number19337[] = {1, 1, 1, 5, 27, 51, 9, 217, 393, 671, 931, 433, 7303, 16295, 6727, 5703, 88241, 132665, 0};
static int joe_kuo_d6_initial_number19338[] = {1, 1, 7, 13, 21, 33, 19, 241, 497, 519, 1413, 489, 4975, 1345, 24925, 40383, 110815, 136217, 0};
static int joe_kuo_d6_initial_number19339[] = {1, 3, 1, 9, 7, 51, 79, 15, 15, 601, 997, 3713, 7829, 903, 12393, 60059, 42057, 175141, 0};
static int joe_kuo_d6_initial_number19340[] = {1, 1, 5, 15, 9, 63, 107, 63, 495, 591, 207, 779, 8069, 3013, 23839, 3075, 127481, 193885, 0};
static int joe_kuo_d6_initial_number19341[] = {1, 1, 1, 7, 13, 17, 121, 171, 99, 59, 1043, 1109, 1337, 1179, 27635, 34063, 12945, 1431, 0};
static int joe_kuo_d6_initial_number19342[] = {1, 3, 1, 3, 5, 47, 101, 205, 157, 595, 263, 3887, 7015, 4693, 15211, 25381, 128803, 227233, 0};
static int joe_kuo_d6_initial_number19343[] = {1, 1, 3, 11, 17, 33, 1, 19, 153, 603, 119, 2305, 4041, 4011, 19849, 761, 52807, 129811, 0};
static int joe_kuo_d6_initial_number19344[] = {1, 3, 7, 15, 21, 7, 13, 225, 497, 459, 389, 911, 6349, 5059, 6363, 41915, 90687, 214501, 0};
static int joe_kuo_d6_initial_number19345[] = {1, 3, 1, 15, 1, 39, 31, 83, 147, 629, 185, 1913, 3217, 959, 651, 65267, 108613, 20391, 0};
static int joe_kuo_d6_initial_number19346[] = {1, 3, 1, 7, 9, 11, 29, 201, 245, 815, 1869, 2597, 5693, 15669, 23293, 30885, 4029, 225737, 0};
static int joe_kuo_d6_initial_number19347[] = {1, 3, 5, 11, 7, 29, 119, 207, 499, 23, 1563, 3645, 3839, 2509, 24043, 64231, 22509, 221835, 0};
static int joe_kuo_d6_initial_number19348[] = {1, 3, 3, 7, 11, 49, 13, 201, 353, 217, 831, 2803, 1521, 12989, 25339, 41035, 2125, 165271, 0};
static int joe_kuo_d6_initial_number19349[] = {1, 1, 5, 11, 1, 45, 93, 29, 55, 1007, 1919, 241, 5931, 9211, 17291, 39849, 25453, 96077, 0};
static int joe_kuo_d6_initial_number19350[] = {1, 3, 1, 1, 29, 43, 11, 105, 331, 693, 1363, 291, 8191, 7813, 14135, 38287, 15469, 256913, 0};
static int joe_kuo_d6_initial_number19351[] = {1, 3, 5, 11, 19, 21, 23, 117, 253, 111, 733, 3785, 5835, 423, 30251, 27283, 79561, 162095, 0};
static int joe_kuo_d6_initial_number19352[] = {1, 3, 3, 1, 9, 19, 83, 13, 37, 725, 1597, 1117, 8067, 8085, 1315, 41813, 8973, 175525, 0};
static int joe_kuo_d6_initial_number19353[] = {1, 1, 5, 3, 13, 39, 3, 213, 335, 907, 1143, 1729, 601, 11255, 24351, 41045, 11335, 186221, 0};
static int joe_kuo_d6_initial_number19354[] = {1, 3, 3, 9, 17, 11, 29, 33, 303, 815, 1607, 2403, 8095, 4213, 16697, 64733, 24439, 93081, 0};
static int joe_kuo_d6_initial_number19355[] = {1, 1, 1, 3, 13, 37, 35, 181, 243, 645, 1915, 3521, 569, 3005, 7271, 32755, 64575, 119813, 0};
static int joe_kuo_d6_initial_number19356[] = {1, 1, 5, 13, 25, 59, 77, 121, 459, 755, 385, 1893, 1227, 9957, 5069, 40063, 27261, 4703, 0};
static int joe_kuo_d6_initial_number19357[] = {1, 3, 1, 3, 29, 41, 95, 255, 219, 21, 317, 3021, 2615, 5101, 19413, 25795, 6521, 157749, 0};
static int joe_kuo_d6_initial_number19358[] = {1, 3, 3, 5, 7, 33, 7, 205, 415, 23, 1431, 117, 1605, 9541, 11825, 49195, 86341, 99673, 0};
static int joe_kuo_d6_initial_number19359[] = {1, 3, 3, 5, 17, 37, 33, 209, 49, 161, 321, 3697, 6483, 12859, 895, 675, 1899, 260289, 0};
static int joe_kuo_d6_initial_number19360[] = {1, 1, 3, 15, 1, 27, 83, 125, 309, 553, 505, 2209, 4931, 2593, 28253, 12879, 74971, 9047, 0};
static int joe_kuo_d6_initial_number19361[] = {1, 3, 7, 3, 15, 3, 105, 19, 41, 119, 149, 3847, 6593, 875, 23777, 4547, 57717, 139387, 0};
static int joe_kuo_d6_initial_number19362[] = {1, 1, 1, 3, 9, 43, 25, 15, 67, 609, 951, 273, 8095, 621, 24819, 17233, 53423, 192757, 0};
static int joe_kuo_d6_initial_number19363[] = {1, 3, 5, 3, 9, 49, 107, 215, 245, 217, 545, 2285, 2075, 401, 26599, 32967, 130457, 203755, 0};
static int joe_kuo_d6_initial_number19364[] = {1, 1, 5, 1, 7, 31, 87, 181, 135, 155, 9, 1431, 307, 13367, 31147, 10327, 2817, 63327, 0};
static int joe_kuo_d6_initial_number19365[] = {1, 3, 3, 3, 29, 17, 55, 201, 33, 275, 2005, 3037, 3439, 1513, 7563, 46491, 103319, 5279, 0};
static int joe_kuo_d6_initial_number19366[] = {1, 3, 7, 11, 31, 63, 105, 169, 257, 225, 711, 2041, 1519, 11801, 18543, 35173, 92125, 72729, 0};
static int joe_kuo_d6_initial_number19367[] = {1, 1, 3, 3, 11, 13, 127, 231, 229, 809, 303, 1167, 47, 4281, 2373, 10455, 74685, 131775, 0};
static int joe_kuo_d6_initial_number19368[] = {1, 1, 5, 15, 1, 5, 97, 139, 189, 39, 37, 3513, 2119, 1453, 11477, 45477, 75613, 169915, 0};
static int joe_kuo_d6_initial_number19369[] = {1, 3, 5, 1, 15, 27, 31, 87, 311, 785, 489, 1331, 5259, 6963, 26441, 41675, 107187, 60723, 0};
static int joe_kuo_d6_initial_number19370[] = {1, 1, 3, 5, 13, 9, 33, 3, 273, 357, 841, 1421, 5993, 12449, 6821, 4283, 9437, 215035, 0};
static int joe_kuo_d6_initial_number19371[] = {1, 3, 3, 1, 15, 43, 101, 35, 23, 743, 29, 3953, 3095, 14355, 25977, 12513, 54565, 20199, 0};
static int joe_kuo_d6_initial_number19372[] = {1, 3, 3, 1, 11, 53, 99, 95, 63, 503, 1361, 3231, 2445, 5073, 4667, 33033, 4575, 139475, 0};
static int joe_kuo_d6_initial_number19373[] = {1, 3, 3, 5, 19, 57, 15, 115, 125, 1017, 1913, 907, 2461, 3229, 16591, 6591, 26385, 228661, 0};
static int joe_kuo_d6_initial_number19374[] = {1, 3, 1, 11, 27, 19, 7, 121, 245, 997, 1743, 2571, 1333, 9603, 27811, 42081, 44365, 94943, 0};
static int joe_kuo_d6_initial_number19375[] = {1, 3, 1, 1, 13, 5, 127, 217, 63, 137, 989, 1441, 1133, 8273, 18091, 22243, 122931, 28867, 0};
static int joe_kuo_d6_initial_number19376[] = {1, 1, 7, 15, 23, 39, 57, 83, 321, 817, 819, 223, 4803, 6935, 2027, 20373, 119683, 29781, 0};
static int joe_kuo_d6_initial_number19377[] = {1, 1, 7, 7, 9, 1, 55, 211, 455, 283, 1647, 471, 4351, 14119, 6945, 63117, 109687, 200165, 0};
static int joe_kuo_d6_initial_number19378[] = {1, 1, 7, 7, 29, 45, 113, 253, 135, 375, 1091, 959, 1423, 1241, 31689, 33751, 73459, 91769, 0};
static int joe_kuo_d6_initial_number19379[] = {1, 3, 5, 11, 23, 63, 55, 181, 453, 267, 995, 1309, 2847, 3791, 21683, 59809, 81891, 132635, 0};
static int joe_kuo_d6_initial_number19380[] = {1, 1, 1, 13, 17, 37, 87, 17, 61, 689, 1895, 3877, 4717, 6447, 22329, 1619, 30069, 190887, 0};
static int joe_kuo_d6_initial_number19381[] = {1, 3, 1, 7, 27, 61, 17, 51, 99, 909, 85, 951, 107, 1923, 35, 63389, 90273, 152643, 0};
static int joe_kuo_d6_initial_number19382[] = {1, 1, 1, 1, 15, 39, 77, 255, 191, 613, 655, 1881, 267, 3927, 18025, 13825, 15381, 169193, 0};
static int joe_kuo_d6_initial_number19383[] = {1, 3, 3, 1, 31, 17, 73, 69, 231, 221, 501, 3755, 1671, 2049, 22493, 16353, 1775, 181783, 0};
static int joe_kuo_d6_initial_number19384[] = {1, 1, 7, 5, 31, 45, 125, 189, 287, 487, 1911, 3133, 3257, 8967, 21295, 1247, 72297, 68269, 0};
static int joe_kuo_d6_initial_number19385[] = {1, 3, 3, 1, 7, 9, 123, 147, 7, 381, 1597, 1289, 7831, 14493, 21145, 15487, 70353, 147891, 0};
static int joe_kuo_d6_initial_number19386[] = {1, 1, 5, 9, 15, 17, 43, 87, 101, 425, 1819, 163, 6741, 8255, 2591, 17719, 112871, 110793, 0};
static int joe_kuo_d6_initial_number19387[] = {1, 1, 3, 9, 3, 27, 7, 41, 43, 743, 131, 705, 2607, 9963, 26367, 41191, 126347, 164291, 0};
static int joe_kuo_d6_initial_number19388[] = {1, 3, 3, 15, 7, 17, 97, 153, 283, 461, 1723, 2421, 4973, 16369, 30633, 62299, 119425, 3591, 0};
static int joe_kuo_d6_initial_number19389[] = {1, 1, 1, 13, 7, 33, 95, 255, 429, 693, 849, 3783, 5985, 8551, 23227, 1015, 109023, 42493, 0};
static int joe_kuo_d6_initial_number19390[] = {1, 3, 1, 7, 3, 43, 53, 137, 413, 265, 2033, 1347, 335, 529, 24751, 16443, 122195, 158951, 0};
static int joe_kuo_d6_initial_number19391[] = {1, 1, 5, 9, 27, 21, 83, 185, 325, 557, 1247, 2739, 6925, 5459, 26027, 62217, 61113, 197743, 0};
static int joe_kuo_d6_initial_number19392[] = {1, 1, 3, 13, 9, 57, 79, 133, 137, 851, 863, 1605, 7839, 11809, 29941, 20473, 6687, 164479, 0};
static int joe_kuo_d6_initial_number19393[] = {1, 1, 3, 9, 9, 51, 123, 29, 139, 43, 1329, 2701, 3413, 3875, 19673, 62369, 10529, 226525, 0};
static int joe_kuo_d6_initial_number19394[] = {1, 3, 1, 5, 25, 47, 7, 201, 119, 623, 9, 25, 1713, 10817, 8201, 5847, 77477, 237883, 0};
static int joe_kuo_d6_initial_number19395[] = {1, 1, 5, 13, 15, 53, 39, 93, 235, 619, 1695, 2389, 2571, 2389, 4619, 45769, 17245, 69973, 0};
static int joe_kuo_d6_initial_number19396[] = {1, 1, 7, 1, 31, 9, 75, 143, 1, 67, 809, 1037, 2801, 16129, 22443, 26021, 119683, 14681, 0};
static int joe_kuo_d6_initial_number19397[] = {1, 3, 1, 9, 23, 49, 69, 71, 139, 953, 1053, 3059, 1061, 5881, 26207, 15907, 79389, 95341, 0};
static int joe_kuo_d6_initial_number19398[] = {1, 3, 5, 1, 19, 39, 69, 183, 95, 289, 847, 393, 1649, 1275, 21187, 34715, 67553, 123239, 0};
static int joe_kuo_d6_initial_number19399[] = {1, 1, 1, 5, 21, 39, 119, 193, 347, 87, 731, 3327, 6089, 13781, 20389, 52303, 11869, 48975, 0};
static int joe_kuo_d6_initial_number19400[] = {1, 3, 5, 1, 19, 17, 93, 33, 215, 457, 687, 1325, 1997, 2655, 21195, 54997, 36877, 57991, 0};
static int joe_kuo_d6_initial_number19401[] = {1, 1, 1, 3, 17, 45, 91, 45, 231, 611, 413, 2321, 7181, 13765, 7791, 6973, 24497, 231795, 0};
static int joe_kuo_d6_initial_number19402[] = {1, 3, 3, 15, 7, 29, 103, 31, 295, 637, 1775, 2293, 8001, 4175, 1257, 16881, 93695, 180591, 0};
static int joe_kuo_d6_initial_number19403[] = {1, 1, 1, 13, 31, 7, 47, 51, 267, 231, 463, 939, 7977, 8593, 15329, 36871, 50449, 222341, 0};
static int joe_kuo_d6_initial_number19404[] = {1, 3, 7, 3, 27, 31, 57, 135, 507, 177, 1455, 1963, 4473, 6449, 727, 49853, 65275, 237531, 0};
static int joe_kuo_d6_initial_number19405[] = {1, 3, 7, 11, 31, 21, 111, 231, 269, 27, 719, 3275, 2489, 3689, 3425, 23763, 39413, 64565, 0};
static int joe_kuo_d6_initial_number19406[] = {1, 1, 1, 11, 23, 27, 31, 153, 201, 985, 1553, 3061, 7663, 4079, 13549, 48765, 64169, 68223, 0};
static int joe_kuo_d6_initial_number19407[] = {1, 1, 7, 15, 11, 53, 125, 23, 73, 799, 591, 665, 127, 3941, 11251, 12649, 2657, 230923, 0};
static int joe_kuo_d6_initial_number19408[] = {1, 1, 7, 15, 29, 43, 95, 81, 337, 367, 779, 1237, 7627, 997, 3355, 1245, 70477, 159097, 0};
static int joe_kuo_d6_initial_number19409[] = {1, 3, 1, 13, 19, 31, 11, 91, 179, 425, 1395, 1439, 2723, 401, 26779, 36723, 115743, 179653, 0};
static int joe_kuo_d6_initial_number19410[] = {1, 1, 3, 1, 29, 35, 11, 217, 301, 421, 765, 1949, 5475, 2247, 3953, 27091, 16895, 194821, 0};
static int joe_kuo_d6_initial_number19411[] = {1, 1, 5, 9, 11, 21, 95, 135, 127, 65, 609, 3893, 7143, 13231, 29199, 36205, 38711, 159599, 0};
static int joe_kuo_d6_initial_number19412[] = {1, 3, 5, 13, 25, 25, 101, 221, 495, 993, 961, 2575, 907, 5277, 18415, 1797, 22043, 129889, 0};
static int joe_kuo_d6_initial_number19413[] = {1, 1, 1, 15, 21, 21, 99, 3, 175, 735, 659, 543, 7573, 15549, 14067, 60009, 65785, 112927, 0};
static int joe_kuo_d6_initial_number19414[] = {1, 3, 7, 7, 3, 39, 61, 203, 143, 581, 487, 2097, 3943, 6869, 14435, 46431, 101781, 233067, 0};
static int joe_kuo_d6_initial_number19415[] = {1, 1, 3, 1, 13, 27, 21, 147, 295, 89, 1845, 1017, 4621, 10029, 3517, 25371, 104531, 225179, 0};
static int joe_kuo_d6_initial_number19416[] = {1, 1, 3, 11, 25, 51, 45, 179, 299, 487, 2039, 85, 4643, 8211, 12051, 64819, 93481, 159511, 0};
static int joe_kuo_d6_initial_number19417[] = {1, 1, 5, 3, 21, 7, 73, 193, 415, 7, 125, 2487, 7369, 2043, 7633, 19265, 65337, 57399, 0};
static int joe_kuo_d6_initial_number19418[] = {1, 1, 5, 3, 3, 53, 51, 169, 313, 973, 1549, 243, 3155, 13827, 24971, 61393, 15147, 187397, 0};
static int joe_kuo_d6_initial_number19419[] = {1, 3, 3, 3, 29, 33, 91, 41, 367, 77, 1259, 1703, 2105, 14473, 17763, 29809, 47777, 205553, 0};
static int joe_kuo_d6_initial_number19420[] = {1, 3, 7, 3, 23, 61, 59, 235, 51, 41, 417, 691, 2953, 15577, 32283, 2793, 109557, 64729, 0};
static int joe_kuo_d6_initial_number19421[] = {1, 1, 5, 9, 13, 17, 93, 201, 151, 323, 1481, 3645, 3039, 5131, 503, 42055, 114939, 198755, 0};
static int joe_kuo_d6_initial_number19422[] = {1, 3, 5, 1, 21, 53, 75, 29, 283, 541, 499, 309, 1923, 995, 21479, 56183, 103743, 152113, 0};
static int joe_kuo_d6_initial_number19423[] = {1, 3, 1, 3, 21, 51, 67, 97, 481, 509, 805, 213, 5157, 13573, 16187, 8199, 28025, 208445, 0};
static int joe_kuo_d6_initial_number19424[] = {1, 1, 7, 7, 15, 25, 107, 127, 355, 249, 707, 1287, 6831, 5317, 15613, 12837, 48091, 27611, 0};
static int joe_kuo_d6_initial_number19425[] = {1, 3, 3, 7, 31, 53, 127, 239, 17, 709, 979, 4023, 7149, 4239, 20015, 44365, 113245, 75873, 0};
static int joe_kuo_d6_initial_number19426[] = {1, 3, 5, 11, 27, 37, 49, 123, 137, 967, 1857, 3961, 7429, 8355, 30733, 64587, 73903, 188581, 0};
static int joe_kuo_d6_initial_number19427[] = {1, 3, 3, 7, 19, 51, 69, 121, 345, 637, 1987, 335, 7071, 13849, 22369, 46895, 20761, 148227, 0};
static int joe_kuo_d6_initial_number19428[] = {1, 1, 3, 11, 9, 1, 93, 151, 487, 889, 919, 2429, 5425, 15303, 12583, 57627, 42683, 98265, 0};
static int joe_kuo_d6_initial_number19429[] = {1, 3, 5, 3, 1, 29, 87, 189, 285, 805, 933, 1381, 2789, 107, 14215, 33171, 110573, 250983, 0};
static int joe_kuo_d6_initial_number19430[] = {1, 3, 1, 1, 27, 43, 63, 115, 317, 401, 885, 1029, 7003, 10041, 15299, 42251, 58675, 177545, 0};
static int joe_kuo_d6_initial_number19431[] = {1, 3, 5, 7, 11, 33, 119, 5, 185, 777, 1795, 1585, 3543, 1801, 17681, 1041, 44513, 105435, 0};
static int joe_kuo_d6_initial_number19432[] = {1, 3, 1, 9, 19, 33, 15, 253, 299, 925, 241, 1333, 615, 12501, 499, 44449, 16595, 70357, 0};
static int joe_kuo_d6_initial_number19433[] = {1, 1, 3, 13, 13, 31, 17, 123, 215, 805, 1177, 3683, 27, 11881, 7645, 25575, 63057, 89547, 0};
static int joe_kuo_d6_initial_number19434[] = {1, 1, 5, 5, 17, 1, 57, 183, 267, 825, 1987, 329, 5603, 1295, 425, 61871, 27859, 157109, 0};
static int joe_kuo_d6_initial_number19435[] = {1, 3, 3, 11, 19, 45, 37, 79, 191, 17, 17, 3379, 7941, 3159, 20351, 26341, 34687, 116281, 0};
static int joe_kuo_d6_initial_number19436[] = {1, 1, 3, 7, 11, 7, 61, 199, 459, 993, 1729, 3751, 1067, 14965, 14669, 40281, 12579, 154601, 0};
static int joe_kuo_d6_initial_number19437[] = {1, 3, 3, 13, 19, 53, 17, 39, 137, 219, 1645, 2899, 505, 10057, 22891, 32317, 81201, 126291, 0};
static int joe_kuo_d6_initial_number19438[] = {1, 3, 5, 7, 21, 53, 65, 125, 69, 781, 761, 1683, 5817, 11859, 11543, 62853, 57149, 212261, 0};
static int joe_kuo_d6_initial_number19439[] = {1, 3, 5, 9, 13, 25, 81, 119, 439, 25, 239, 2867, 421, 12631, 22705, 31039, 96105, 79023, 0};
static int joe_kuo_d6_initial_number19440[] = {1, 3, 5, 3, 19, 9, 51, 135, 437, 393, 1711, 1205, 5195, 10927, 28583, 7513, 110227, 139295, 0};
static int joe_kuo_d6_initial_number19441[] = {1, 3, 7, 9, 31, 15, 5, 143, 49, 13, 1143, 2325, 5437, 14289, 31555, 58777, 102675, 64559, 0};
static int joe_kuo_d6_initial_number19442[] = {1, 1, 7, 3, 3, 21, 65, 127, 341, 109, 167, 1835, 6687, 1695, 15631, 47047, 127543, 51413, 0};
static int joe_kuo_d6_initial_number19443[] = {1, 1, 3, 1, 31, 49, 103, 147, 59, 701, 1251, 3391, 1935, 5371, 28585, 50023, 73839, 118205, 0};
static int joe_kuo_d6_initial_number19444[] = {1, 3, 3, 1, 5, 49, 91, 23, 91, 663, 1369, 1437, 2657, 11369, 29857, 53875, 127045, 242323, 0};
static int joe_kuo_d6_initial_number19445[] = {1, 3, 1, 3, 23, 33, 7, 105, 353, 863, 1211, 1175, 1347, 12913, 11973, 55255, 27145, 175539, 0};
static int joe_kuo_d6_initial_number19446[] = {1, 1, 1, 13, 9, 29, 71, 71, 509, 571, 2005, 3125, 2731, 6829, 26863, 16459, 113195, 80247, 0};
static int joe_kuo_d6_initial_number19447[] = {1, 3, 5, 1, 7, 11, 45, 177, 281, 695, 1197, 2035, 2137, 11833, 12417, 5805, 77211, 45553, 0};
static int joe_kuo_d6_initial_number19448[] = {1, 1, 7, 7, 27, 59, 91, 183, 267, 373, 677, 2431, 903, 4229, 31997, 19843, 125089, 242871, 0};
static int joe_kuo_d6_initial_number19449[] = {1, 3, 3, 13, 23, 23, 53, 101, 225, 247, 2013, 853, 279, 2161, 30045, 28255, 130907, 57157, 0};
static int joe_kuo_d6_initial_number19450[] = {1, 3, 5, 13, 5, 11, 63, 137, 219, 661, 773, 1991, 4081, 5963, 25207, 50461, 85293, 159441, 0};
static int joe_kuo_d6_initial_number19451[] = {1, 3, 1, 15, 5, 59, 43, 87, 429, 77, 73, 1275, 2619, 16133, 20009, 26089, 38129, 157267, 0};
static int joe_kuo_d6_initial_number19452[] = {1, 1, 5, 15, 9, 59, 37, 127, 127, 733, 1703, 1331, 4293, 3555, 22739, 49513, 34533, 143225, 0};
static int joe_kuo_d6_initial_number19453[] = {1, 1, 7, 7, 11, 51, 121, 59, 505, 147, 1855, 1661, 5539, 3421, 28863, 14811, 39811, 228927, 0};
static int joe_kuo_d6_initial_number19454[] = {1, 1, 5, 5, 1, 31, 57, 167, 107, 753, 1835, 2491, 3311, 8639, 8743, 17279, 77071, 8673, 0};
static int joe_kuo_d6_initial_number19455[] = {1, 1, 3, 3, 15, 39, 1, 223, 395, 603, 1095, 435, 1225, 4045, 21721, 40767, 48971, 1583, 0};
static int joe_kuo_d6_initial_number19456[] = {1, 1, 3, 13, 9, 17, 47, 175, 229, 827, 769, 2901, 137, 9931, 11115, 25337, 105811, 68413, 0};
static int joe_kuo_d6_initial_number19457[] = {1, 1, 1, 5, 29, 55, 43, 39, 319, 919, 749, 931, 1973, 13147, 913, 48353, 40955, 189783, 0};
static int joe_kuo_d6_initial_number19458[] = {1, 3, 5, 5, 13, 33, 81, 213, 79, 781, 1069, 3117, 5859, 9061, 30963, 17307, 6281, 208707, 0};
static int joe_kuo_d6_initial_number19459[] = {1, 1, 5, 13, 27, 63, 41, 91, 123, 763, 1115, 3193, 4571, 4573, 8235, 24291, 40911, 225985, 0};
static int joe_kuo_d6_initial_number19460[] = {1, 1, 1, 7, 13, 5, 77, 215, 67, 183, 1447, 1571, 213, 3481, 28349, 22451, 44951, 240257, 0};
static int joe_kuo_d6_initial_number19461[] = {1, 3, 7, 7, 3, 21, 39, 233, 263, 19, 489, 1511, 2313, 1799, 25173, 17913, 70593, 2969, 0};
static int joe_kuo_d6_initial_number19462[] = {1, 3, 7, 15, 3, 1, 93, 101, 393, 911, 1055, 953, 1279, 11947, 11963, 53443, 29105, 226057, 0};
static int joe_kuo_d6_initial_number19463[] = {1, 1, 3, 7, 7, 53, 119, 39, 439, 629, 1845, 3411, 3633, 16345, 27501, 59565, 39581, 85373, 0};
static int joe_kuo_d6_initial_number19464[] = {1, 1, 5, 7, 19, 39, 19, 191, 509, 239, 359, 645, 8107, 13721, 21289, 20763, 67727, 45957, 0};
static int joe_kuo_d6_initial_number19465[] = {1, 1, 1, 13, 5, 13, 113, 41, 135, 351, 311, 1099, 2391, 16165, 15805, 54737, 102645, 224417, 0};
static int joe_kuo_d6_initial_number19466[] = {1, 3, 3, 9, 17, 47, 95, 249, 45, 749, 313, 317, 2413, 15861, 27221, 35537, 6407, 50111, 0};
static int joe_kuo_d6_initial_number19467[] = {1, 1, 7, 5, 29, 57, 81, 7, 233, 393, 307, 1089, 1367, 12275, 11861, 29119, 27271, 36351, 0};
static int joe_kuo_d6_initial_number19468[] = {1, 3, 5, 15, 9, 15, 23, 241, 233, 305, 1025, 2035, 4897, 10321, 17345, 42873, 109045, 129533, 0};
static int joe_kuo_d6_initial_number19469[] = {1, 3, 5, 9, 21, 33, 111, 81, 311, 829, 1851, 1437, 5935, 7847, 15493, 28531, 74879, 40567, 0};
static int joe_kuo_d6_initial_number19470[] = {1, 3, 7, 7, 13, 21, 43, 119, 507, 701, 1385, 745, 799, 1567, 13271, 40267, 130843, 59951, 0};
static int joe_kuo_d6_initial_number19471[] = {1, 3, 3, 1, 19, 43, 45, 119, 87, 263, 1475, 3897, 2811, 2711, 4949, 48043, 125237, 230897, 0};
static int joe_kuo_d6_initial_number19472[] = {1, 1, 7, 1, 1, 53, 17, 71, 313, 373, 5, 2359, 1643, 9867, 18365, 5011, 40675, 105371, 0};
static int joe_kuo_d6_initial_number19473[] = {1, 3, 7, 11, 23, 49, 123, 255, 33, 241, 473, 959, 1859, 6109, 5433, 27625, 46839, 90727, 0};
static int joe_kuo_d6_initial_number19474[] = {1, 1, 1, 3, 31, 43, 33, 129, 159, 445, 1831, 1005, 587, 2091, 5749, 33271, 50909, 65057, 0};
static int joe_kuo_d6_initial_number19475[] = {1, 1, 7, 13, 3, 21, 17, 125, 357, 97, 1255, 669, 1583, 7433, 32287, 61795, 5915, 211593, 0};
static int joe_kuo_d6_initial_number19476[] = {1, 1, 7, 7, 31, 19, 71, 211, 213, 731, 1491, 3315, 3633, 14953, 21369, 4977, 33533, 12115, 0};
static int joe_kuo_d6_initial_number19477[] = {1, 3, 1, 1, 31, 1, 87, 253, 211, 57, 1431, 2613, 4075, 14463, 11287, 38671, 100129, 4241, 0};
static int joe_kuo_d6_initial_number19478[] = {1, 1, 1, 5, 21, 13, 27, 29, 31, 285, 179, 3861, 5319, 15683, 2579, 15663, 63357, 81849, 0};
static int joe_kuo_d6_initial_number19479[] = {1, 1, 3, 7, 23, 29, 29, 79, 263, 865, 1237, 3871, 2097, 5337, 2387, 59277, 28831, 57957, 0};
static int joe_kuo_d6_initial_number19480[] = {1, 3, 7, 15, 15, 31, 83, 195, 87, 691, 71, 1025, 3145, 675, 14619, 22399, 88885, 222969, 0};
static int joe_kuo_d6_initial_number19481[] = {1, 1, 5, 7, 19, 3, 121, 105, 383, 675, 777, 2073, 643, 14439, 19467, 13159, 115421, 250561, 0};
static int joe_kuo_d6_initial_number19482[] = {1, 3, 5, 9, 13, 41, 119, 23, 355, 765, 579, 849, 3313, 2443, 29521, 42965, 102559, 227707, 0};
static int joe_kuo_d6_initial_number19483[] = {1, 3, 3, 7, 23, 55, 115, 83, 331, 873, 797, 621, 1197, 15299, 26307, 34287, 120459, 260603, 0};
static int joe_kuo_d6_initial_number19484[] = {1, 1, 3, 5, 7, 11, 113, 119, 65, 691, 1169, 2291, 7283, 1391, 10737, 3801, 40649, 191009, 0};
static int joe_kuo_d6_initial_number19485[] = {1, 1, 7, 9, 3, 23, 95, 109, 457, 277, 871, 3013, 2833, 4131, 21081, 43635, 19875, 162173, 0};
static int joe_kuo_d6_initial_number19486[] = {1, 1, 3, 15, 25, 7, 45, 109, 195, 935, 1487, 1603, 1663, 15595, 10687, 4073, 34863, 45851, 0};
static int joe_kuo_d6_initial_number19487[] = {1, 1, 1, 5, 21, 19, 37, 141, 377, 553, 1225, 2485, 1235, 13179, 2587, 43659, 1405, 52023, 0};
static int joe_kuo_d6_initial_number19488[] = {1, 3, 1, 9, 5, 27, 1, 219, 397, 555, 533, 941, 2755, 1295, 16157, 30733, 54279, 168455, 0};
static int joe_kuo_d6_initial_number19489[] = {1, 3, 3, 1, 27, 41, 93, 177, 119, 581, 167, 3943, 5765, 15455, 555, 17419, 33117, 160599, 0};
static int joe_kuo_d6_initial_number19490[] = {1, 1, 3, 7, 15, 25, 29, 177, 503, 529, 229, 2535, 1493, 805, 30983, 26309, 123453, 118441, 0};
static int joe_kuo_d6_initial_number19491[] = {1, 1, 7, 15, 13, 33, 83, 151, 183, 433, 823, 4003, 1991, 6563, 18743, 61835, 56535, 191193, 0};
static int joe_kuo_d6_initial_number19492[] = {1, 1, 1, 13, 9, 31, 91, 63, 455, 67, 243, 1573, 3507, 9491, 4677, 13835, 121603, 241781, 0};
static int joe_kuo_d6_initial_number19493[] = {1, 1, 5, 5, 29, 13, 45, 29, 289, 909, 1923, 3371, 3675, 13119, 24599, 58511, 109467, 126865, 0};
static int joe_kuo_d6_initial_number19494[] = {1, 1, 5, 9, 21, 41, 41, 179, 25, 463, 949, 819, 397, 12329, 3461, 34773, 61337, 23579, 0};
static int joe_kuo_d6_initial_number19495[] = {1, 3, 3, 11, 1, 25, 17, 165, 77, 455, 1983, 143, 2763, 8165, 14849, 1601, 30093, 54599, 0};
static int joe_kuo_d6_initial_number19496[] = {1, 1, 7, 3, 7, 1, 117, 117, 53, 611, 1405, 3357, 1717, 8157, 247, 17501, 30201, 192485, 0};
static int joe_kuo_d6_initial_number19497[] = {1, 1, 1, 5, 23, 47, 95, 173, 133, 603, 1627, 4039, 5599, 10575, 30275, 60287, 3313, 77551, 0};
static int joe_kuo_d6_initial_number19498[] = {1, 1, 1, 9, 31, 49, 87, 169, 221, 561, 1045, 365, 1955, 9905, 13057, 33717, 91203, 57513, 0};
static int joe_kuo_d6_initial_number19499[] = {1, 3, 3, 1, 19, 25, 113, 231, 415, 717, 1767, 755, 4825, 7541, 10121, 9351, 72093, 255877, 0};
static int joe_kuo_d6_initial_number19500[] = {1, 3, 1, 7, 1, 35, 3, 231, 345, 375, 809, 2753, 849, 13915, 16127, 7575, 45259, 28917, 0};
static int joe_kuo_d6_initial_number19501[] = {1, 3, 3, 11, 23, 43, 13, 37, 305, 765, 517, 333, 473, 14949, 11939, 35171, 63963, 181825, 0};
static int joe_kuo_d6_initial_number19502[] = {1, 3, 3, 3, 5, 43, 35, 89, 293, 913, 1325, 2097, 603, 14365, 4005, 38935, 23837, 34271, 0};
static int joe_kuo_d6_initial_number19503[] = {1, 1, 3, 15, 1, 47, 67, 199, 167, 909, 1167, 1513, 7087, 5017, 23469, 2621, 24961, 226679, 0};
static int joe_kuo_d6_initial_number19504[] = {1, 3, 7, 15, 23, 37, 111, 217, 33, 423, 457, 1767, 4821, 10233, 27045, 33397, 85351, 156751, 0};
static int joe_kuo_d6_initial_number19505[] = {1, 3, 3, 7, 31, 25, 67, 65, 291, 169, 1505, 1707, 4833, 11541, 1189, 62959, 59831, 48729, 0};
static int joe_kuo_d6_initial_number19506[] = {1, 1, 5, 7, 27, 27, 15, 23, 189, 819, 709, 3591, 2781, 14807, 20303, 27795, 88349, 210251, 0};
static int joe_kuo_d6_initial_number19507[] = {1, 3, 7, 15, 1, 19, 49, 103, 219, 85, 1281, 3981, 7229, 10427, 11689, 1547, 90747, 12283, 0};
static int joe_kuo_d6_initial_number19508[] = {1, 1, 1, 13, 31, 49, 81, 121, 287, 851, 333, 353, 7373, 10165, 1157, 11713, 89445, 210709, 0};
static int joe_kuo_d6_initial_number19509[] = {1, 3, 7, 5, 31, 35, 3, 229, 443, 973, 1971, 1861, 5695, 6725, 6405, 45927, 115313, 228667, 0};
static int joe_kuo_d6_initial_number19510[] = {1, 3, 3, 11, 29, 17, 105, 203, 69, 945, 1239, 3213, 6005, 10095, 31233, 37421, 62911, 91371, 0};
static int joe_kuo_d6_initial_number19511[] = {1, 1, 7, 1, 21, 59, 7, 43, 391, 299, 1225, 283, 3351, 11495, 25071, 16619, 65127, 114033, 0};
static int joe_kuo_d6_initial_number19512[] = {1, 1, 3, 9, 17, 11, 71, 73, 377, 437, 311, 1083, 6941, 1039, 1047, 55647, 21239, 209201, 0};
static int joe_kuo_d6_initial_number19513[] = {1, 3, 7, 5, 29, 51, 113, 163, 215, 511, 615, 2427, 2747, 14389, 1005, 27015, 31809, 30603, 0};
static int joe_kuo_d6_initial_number19514[] = {1, 1, 1, 3, 9, 61, 9, 201, 259, 411, 175, 1003, 401, 13695, 13103, 3075, 43695, 177139, 0};
static int joe_kuo_d6_initial_number19515[] = {1, 1, 5, 3, 17, 47, 125, 173, 277, 17, 619, 2295, 3091, 5615, 4529, 54065, 81875, 97279, 0};
static int joe_kuo_d6_initial_number19516[] = {1, 3, 3, 9, 3, 61, 97, 151, 287, 671, 1439, 1129, 6343, 8161, 24593, 40371, 109705, 106279, 0};
static int joe_kuo_d6_initial_number19517[] = {1, 3, 3, 1, 5, 61, 21, 31, 41, 855, 1541, 3351, 575, 3195, 17155, 46913, 1797, 146401, 0};
static int joe_kuo_d6_initial_number19518[] = {1, 1, 7, 13, 11, 43, 27, 97, 479, 117, 1873, 3103, 1947, 9273, 29171, 35719, 10601, 209629, 0};
static int joe_kuo_d6_initial_number19519[] = {1, 3, 1, 9, 21, 47, 53, 129, 85, 505, 165, 3437, 5687, 10289, 6615, 46719, 50731, 25271, 0};
static int joe_kuo_d6_initial_number19520[] = {1, 1, 3, 1, 1, 33, 37, 239, 45, 565, 1907, 3831, 2177, 10967, 12689, 49395, 36289, 247507, 0};
static int joe_kuo_d6_initial_number19521[] = {1, 1, 5, 1, 19, 57, 75, 245, 59, 967, 1319, 3971, 5267, 11713, 15417, 60503, 63431, 157267, 0};
static int joe_kuo_d6_initial_number19522[] = {1, 1, 5, 7, 7, 15, 99, 87, 331, 261, 1973, 219, 3063, 4071, 19273, 48637, 128089, 55511, 0};
static int joe_kuo_d6_initial_number19523[] = {1, 3, 5, 13, 23, 43, 7, 171, 173, 1023, 1145, 3551, 5127, 6365, 18013, 1613, 51997, 107265, 0};
static int joe_kuo_d6_initial_number19524[] = {1, 3, 5, 3, 7, 7, 23, 195, 251, 387, 1889, 3645, 4221, 6025, 27291, 24831, 123749, 231403, 0};
static int joe_kuo_d6_initial_number19525[] = {1, 3, 1, 1, 29, 49, 107, 215, 93, 211, 1349, 1925, 7149, 1015, 27465, 34139, 126149, 121349, 0};
static int joe_kuo_d6_initial_number19526[] = {1, 1, 5, 5, 19, 15, 121, 189, 167, 801, 483, 1955, 8031, 4749, 26665, 64791, 18671, 123221, 0};
static int joe_kuo_d6_initial_number19527[] = {1, 3, 3, 15, 23, 57, 15, 249, 197, 103, 2021, 1897, 5975, 12821, 6441, 62719, 81415, 232417, 0};
static int joe_kuo_d6_initial_number19528[] = {1, 1, 3, 9, 17, 45, 111, 225, 103, 121, 1259, 2849, 2235, 2041, 13261, 7929, 76325, 38677, 0};
static int joe_kuo_d6_initial_number19529[] = {1, 1, 3, 9, 25, 17, 63, 63, 369, 387, 31, 1423, 5699, 12519, 27407, 53193, 963, 123473, 0};
static int joe_kuo_d6_initial_number19530[] = {1, 3, 3, 13, 3, 59, 59, 3, 367, 357, 1391, 1519, 2619, 2291, 1349, 28275, 21655, 8763, 0};
static int joe_kuo_d6_initial_number19531[] = {1, 1, 7, 1, 31, 51, 121, 49, 157, 509, 1513, 3247, 3439, 8691, 20729, 17585, 49013, 228695, 0};
static int joe_kuo_d6_initial_number19532[] = {1, 1, 5, 9, 11, 29, 103, 49, 209, 35, 673, 1409, 2483, 4561, 12435, 46139, 31019, 50929, 0};
static int joe_kuo_d6_initial_number19533[] = {1, 1, 3, 9, 11, 45, 77, 143, 277, 769, 1151, 3705, 7901, 3735, 31155, 46135, 84061, 254357, 0};
static int joe_kuo_d6_initial_number19534[] = {1, 3, 3, 3, 5, 51, 95, 7, 155, 121, 1899, 2261, 2915, 6637, 6557, 20535, 20937, 257275, 0};
static int joe_kuo_d6_initial_number19535[] = {1, 1, 7, 9, 13, 49, 125, 135, 7, 535, 1171, 3501, 1701, 5791, 10121, 9845, 21645, 56451, 0};
static int joe_kuo_d6_initial_number19536[] = {1, 1, 7, 5, 9, 1, 115, 27, 229, 813, 133, 753, 1959, 13121, 30425, 31059, 114619, 132257, 0};
static int joe_kuo_d6_initial_number19537[] = {1, 1, 5, 3, 23, 25, 41, 165, 21, 551, 1751, 3563, 731, 15811, 14777, 22327, 82853, 116699, 0};
static int joe_kuo_d6_initial_number19538[] = {1, 3, 1, 9, 3, 25, 95, 211, 457, 25, 349, 921, 213, 5721, 26725, 19541, 102473, 200845, 0};
static int joe_kuo_d6_initial_number19539[] = {1, 3, 1, 13, 5, 1, 31, 49, 493, 785, 61, 2603, 5997, 12545, 9793, 32521, 99859, 256105, 0};
static int joe_kuo_d6_initial_number19540[] = {1, 3, 3, 7, 31, 19, 31, 121, 507, 79, 685, 197, 4027, 12909, 30533, 38427, 38993, 14581, 0};
static int joe_kuo_d6_initial_number19541[] = {1, 3, 7, 13, 13, 23, 63, 15, 223, 25, 1957, 2527, 6061, 11753, 4835, 34553, 45579, 205805, 0};
static int joe_kuo_d6_initial_number19542[] = {1, 3, 3, 3, 5, 39, 55, 123, 275, 185, 749, 3227, 8137, 12959, 7243, 20613, 46247, 106127, 0};
static int joe_kuo_d6_initial_number19543[] = {1, 1, 7, 13, 1, 21, 49, 145, 237, 291, 1721, 2981, 267, 1255, 21817, 39553, 21937, 115307, 0};
static int joe_kuo_d6_initial_number19544[] = {1, 1, 1, 15, 5, 63, 3, 201, 117, 991, 1049, 1975, 5117, 5799, 28211, 37907, 46799, 240847, 0};
static int joe_kuo_d6_initial_number19545[] = {1, 3, 3, 5, 25, 15, 29, 111, 201, 857, 319, 2695, 4251, 4303, 28495, 12481, 31979, 107503, 0};
static int joe_kuo_d6_initial_number19546[] = {1, 1, 3, 11, 3, 27, 81, 55, 489, 983, 293, 3181, 4593, 4759, 18437, 51185, 47701, 75469, 0};
static int joe_kuo_d6_initial_number19547[] = {1, 3, 1, 3, 11, 25, 113, 243, 365, 299, 1717, 561, 5173, 5983, 7453, 33563, 98519, 162451, 0};
static int joe_kuo_d6_initial_number19548[] = {1, 3, 1, 5, 1, 21, 3, 87, 267, 483, 1397, 791, 4807, 4649, 13713, 19861, 110471, 51443, 0};
static int joe_kuo_d6_initial_number19549[] = {1, 3, 7, 5, 31, 9, 13, 251, 351, 609, 841, 3267, 4201, 8771, 6673, 44867, 105221, 189399, 0};
static int joe_kuo_d6_initial_number19550[] = {1, 1, 3, 1, 13, 43, 47, 153, 331, 1013, 705, 1867, 563, 6361, 7407, 46243, 30521, 213831, 0};
static int joe_kuo_d6_initial_number19551[] = {1, 3, 3, 7, 29, 41, 3, 179, 319, 877, 905, 3803, 2775, 9729, 5673, 9521, 117887, 37605, 0};
static int joe_kuo_d6_initial_number19552[] = {1, 1, 5, 5, 11, 49, 111, 195, 467, 931, 849, 2785, 7829, 2291, 29031, 52019, 86493, 213971, 0};
static int joe_kuo_d6_initial_number19553[] = {1, 1, 3, 11, 13, 11, 81, 81, 419, 621, 181, 1203, 7305, 7857, 16885, 2531, 53127, 35553, 0};
static int joe_kuo_d6_initial_number19554[] = {1, 1, 5, 1, 19, 35, 75, 131, 159, 211, 319, 2805, 6497, 14759, 28997, 62347, 4013, 233821, 0};
static int joe_kuo_d6_initial_number19555[] = {1, 3, 3, 15, 1, 55, 107, 105, 35, 369, 1259, 665, 6717, 2555, 7149, 10373, 33153, 105915, 0};
static int joe_kuo_d6_initial_number19556[] = {1, 3, 7, 5, 31, 13, 27, 207, 359, 355, 2047, 1777, 5555, 12659, 30547, 3655, 86189, 961, 0};
static int joe_kuo_d6_initial_number19557[] = {1, 3, 7, 9, 9, 55, 7, 117, 57, 115, 745, 501, 2341, 3899, 8229, 10625, 66905, 187959, 0};
static int joe_kuo_d6_initial_number19558[] = {1, 3, 3, 13, 25, 43, 87, 197, 303, 405, 1459, 3385, 4109, 8325, 24747, 18405, 48845, 96673, 0};
static int joe_kuo_d6_initial_number19559[] = {1, 3, 5, 3, 21, 37, 109, 9, 183, 585, 1287, 3851, 4939, 1057, 19489, 42603, 32447, 117957, 0};
static int joe_kuo_d6_initial_number19560[] = {1, 1, 5, 13, 3, 47, 109, 115, 73, 733, 1189, 3773, 7471, 10339, 5093, 50253, 122665, 254381, 0};
static int joe_kuo_d6_initial_number19561[] = {1, 1, 5, 5, 21, 33, 113, 187, 51, 245, 241, 3887, 4075, 11945, 20883, 18817, 43567, 851, 0};
static int joe_kuo_d6_initial_number19562[] = {1, 3, 7, 3, 1, 29, 87, 101, 29, 93, 643, 2659, 1753, 4797, 17477, 16087, 43453, 110383, 0};
static int joe_kuo_d6_initial_number19563[] = {1, 1, 7, 13, 17, 51, 75, 91, 445, 171, 1369, 499, 3753, 14035, 4445, 21437, 86205, 231163, 0};
static int joe_kuo_d6_initial_number19564[] = {1, 1, 7, 13, 17, 41, 67, 49, 225, 659, 1181, 1751, 5211, 6847, 20339, 34271, 60273, 52315, 0};
static int joe_kuo_d6_initial_number19565[] = {1, 1, 5, 5, 5, 17, 87, 223, 25, 773, 53, 2447, 6805, 6547, 4429, 46809, 51171, 66457, 0};
static int joe_kuo_d6_initial_number19566[] = {1, 1, 5, 3, 29, 49, 11, 205, 279, 821, 725, 2425, 443, 211, 6347, 59845, 90763, 237911, 0};
static int joe_kuo_d6_initial_number19567[] = {1, 1, 3, 9, 31, 7, 49, 1, 229, 755, 517, 809, 2955, 3571, 2385, 33097, 19659, 55397, 0};
static int joe_kuo_d6_initial_number19568[] = {1, 3, 5, 3, 5, 21, 67, 227, 359, 401, 1697, 2131, 4585, 2661, 3659, 22621, 51639, 245877, 0};
static int joe_kuo_d6_initial_number19569[] = {1, 1, 7, 5, 11, 7, 57, 133, 9, 917, 427, 2777, 6009, 11393, 29473, 59311, 77095, 176215, 0};
static int joe_kuo_d6_initial_number19570[] = {1, 1, 7, 5, 13, 29, 101, 15, 293, 7, 797, 437, 3739, 3369, 16917, 19047, 17773, 219541, 0};
static int joe_kuo_d6_initial_number19571[] = {1, 3, 1, 9, 13, 51, 15, 19, 209, 991, 413, 787, 3797, 14029, 23699, 8591, 40429, 56115, 0};
static int joe_kuo_d6_initial_number19572[] = {1, 3, 7, 3, 31, 9, 77, 33, 487, 155, 1903, 3023, 8163, 385, 4703, 57511, 102083, 85785, 0};
static int joe_kuo_d6_initial_number19573[] = {1, 1, 5, 11, 17, 59, 115, 73, 89, 723, 1523, 2671, 1755, 3463, 19861, 31573, 126405, 90215, 0};
static int joe_kuo_d6_initial_number19574[] = {1, 3, 3, 13, 17, 27, 123, 37, 71, 173, 203, 1245, 7905, 8955, 22589, 56705, 120473, 90129, 0};
static int joe_kuo_d6_initial_number19575[] = {1, 3, 3, 1, 17, 63, 55, 225, 259, 531, 1493, 2639, 1319, 10865, 17993, 11205, 13253, 111261, 0};
static int joe_kuo_d6_initial_number19576[] = {1, 1, 1, 11, 25, 17, 41, 45, 385, 1009, 1573, 1797, 527, 543, 14743, 35789, 63871, 112183, 0};
static int joe_kuo_d6_initial_number19577[] = {1, 1, 7, 15, 15, 57, 109, 127, 143, 955, 1091, 2585, 3429, 11763, 5849, 53805, 116865, 68895, 0};
static int joe_kuo_d6_initial_number19578[] = {1, 1, 7, 15, 9, 11, 1, 9, 491, 765, 1835, 3825, 5043, 13091, 4123, 19621, 17687, 241015, 0};
static int joe_kuo_d6_initial_number19579[] = {1, 3, 5, 7, 25, 51, 117, 193, 91, 451, 1871, 3819, 1881, 8065, 25809, 36257, 107955, 37109, 0};
static int joe_kuo_d6_initial_number19580[] = {1, 3, 1, 15, 5, 5, 101, 7, 59, 859, 977, 2673, 2825, 3291, 26283, 23467, 28383, 257775, 0};
static int joe_kuo_d6_initial_number19581[] = {1, 3, 3, 15, 17, 43, 87, 191, 85, 829, 653, 327, 1773, 10101, 2707, 18341, 61435, 242215, 0};
static int joe_kuo_d6_initial_number19582[] = {1, 3, 7, 13, 27, 43, 127, 253, 403, 81, 505, 2841, 1509, 4951, 23791, 18099, 46747, 192717, 0};
static int joe_kuo_d6_initial_number19583[] = {1, 1, 1, 9, 31, 15, 127, 29, 171, 999, 1919, 4059, 2781, 2475, 8997, 15459, 37003, 217141, 0};
static int joe_kuo_d6_initial_number19584[] = {1, 3, 3, 1, 31, 41, 67, 31, 171, 719, 789, 645, 3925, 11117, 1241, 63221, 1087, 59789, 0};
static int joe_kuo_d6_initial_number19585[] = {1, 1, 1, 9, 17, 41, 107, 13, 405, 879, 1955, 3309, 1281, 10601, 13883, 43987, 111691, 130555, 0};
static int joe_kuo_d6_initial_number19586[] = {1, 3, 7, 9, 21, 17, 127, 243, 51, 689, 1945, 3769, 7121, 7703, 16825, 34893, 32167, 20167, 0};
static int joe_kuo_d6_initial_number19587[] = {1, 1, 1, 5, 7, 7, 61, 149, 75, 289, 717, 1951, 5917, 13375, 15683, 27507, 10897, 199009, 0};
static int joe_kuo_d6_initial_number19588[] = {1, 3, 7, 9, 25, 61, 43, 167, 45, 299, 5, 125, 3289, 13685, 10843, 25535, 98383, 143401, 0};
static int joe_kuo_d6_initial_number19589[] = {1, 1, 3, 15, 21, 27, 37, 45, 233, 179, 611, 3025, 7887, 9421, 16791, 17147, 49013, 33249, 0};
static int joe_kuo_d6_initial_number19590[] = {1, 3, 7, 15, 19, 43, 43, 9, 255, 295, 649, 811, 1303, 1989, 5401, 53891, 42679, 66879, 0};
static int joe_kuo_d6_initial_number19591[] = {1, 1, 7, 7, 25, 31, 89, 199, 455, 733, 295, 1157, 4375, 7341, 7823, 6025, 56311, 257579, 0};
static int joe_kuo_d6_initial_number19592[] = {1, 1, 7, 3, 1, 51, 15, 29, 35, 917, 1839, 741, 1089, 8615, 4967, 34047, 32981, 200693, 0};
static int joe_kuo_d6_initial_number19593[] = {1, 3, 3, 11, 21, 13, 71, 53, 315, 801, 1015, 3829, 2297, 6649, 28501, 18173, 83121, 107195, 0};
static int joe_kuo_d6_initial_number19594[] = {1, 1, 7, 7, 1, 5, 127, 103, 435, 707, 7, 1045, 187, 10927, 32395, 24999, 58463, 94069, 0};
static int joe_kuo_d6_initial_number19595[] = {1, 1, 7, 9, 11, 25, 73, 57, 231, 455, 1033, 2899, 2861, 8811, 21671, 16115, 97807, 221791, 0};
static int joe_kuo_d6_initial_number19596[] = {1, 3, 5, 11, 11, 19, 105, 37, 181, 1, 1231, 2275, 4789, 13071, 24843, 25901, 123711, 145609, 0};
static int joe_kuo_d6_initial_number19597[] = {1, 3, 7, 13, 7, 7, 21, 215, 393, 43, 1713, 2921, 1959, 14417, 17109, 55793, 36285, 81731, 0};
static int joe_kuo_d6_initial_number19598[] = {1, 1, 5, 15, 29, 15, 5, 115, 15, 795, 1535, 2473, 3663, 10123, 20721, 32739, 21141, 217731, 0};
static int joe_kuo_d6_initial_number19599[] = {1, 1, 3, 1, 15, 13, 21, 49, 293, 689, 985, 3949, 3329, 7167, 16925, 15069, 47345, 192749, 0};
static int joe_kuo_d6_initial_number19600[] = {1, 3, 3, 7, 5, 27, 85, 11, 337, 651, 777, 1775, 5279, 15229, 21473, 36561, 85293, 27893, 0};
static int joe_kuo_d6_initial_number19601[] = {1, 3, 7, 1, 15, 29, 7, 199, 71, 893, 1587, 1831, 3891, 3299, 14323, 23165, 28199, 84055, 0};
static int joe_kuo_d6_initial_number19602[] = {1, 1, 1, 7, 9, 27, 15, 75, 497, 127, 433, 1781, 3711, 12659, 3765, 40827, 112425, 36281, 0};
static int joe_kuo_d6_initial_number19603[] = {1, 1, 5, 1, 31, 59, 9, 91, 301, 217, 2013, 2015, 265, 3795, 14609, 13389, 5451, 260169, 0};
static int joe_kuo_d6_initial_number19604[] = {1, 1, 1, 15, 19, 43, 85, 37, 33, 687, 1253, 2615, 4027, 3741, 13971, 21261, 106261, 204233, 0};
static int joe_kuo_d6_initial_number19605[] = {1, 1, 7, 9, 31, 45, 105, 111, 207, 433, 633, 3949, 8057, 5049, 23657, 12227, 86251, 218077, 0};
static int joe_kuo_d6_initial_number19606[] = {1, 3, 5, 11, 13, 33, 1, 67, 117, 595, 1835, 287, 2509, 14841, 1525, 15761, 61319, 182531, 0};
static int joe_kuo_d6_initial_number19607[] = {1, 1, 3, 9, 7, 43, 105, 85, 17, 349, 1769, 3945, 31, 4907, 9373, 22447, 70905, 29189, 0};
static int joe_kuo_d6_initial_number19608[] = {1, 1, 5, 5, 9, 19, 93, 179, 95, 255, 1807, 2717, 4757, 15025, 19479, 63499, 42441, 236519, 0};
static int joe_kuo_d6_initial_number19609[] = {1, 1, 1, 1, 21, 35, 1, 101, 343, 1023, 1311, 347, 301, 8419, 23367, 31543, 51661, 148277, 0};
static int joe_kuo_d6_initial_number19610[] = {1, 1, 7, 11, 23, 37, 113, 207, 147, 743, 1905, 1683, 3733, 5659, 22491, 62129, 111671, 227019, 0};
static int joe_kuo_d6_initial_number19611[] = {1, 1, 3, 13, 27, 5, 21, 207, 445, 319, 1355, 2541, 2853, 583, 1261, 64477, 18337, 91611, 0};
static int joe_kuo_d6_initial_number19612[] = {1, 3, 5, 3, 1, 31, 51, 55, 487, 735, 1599, 523, 5323, 10855, 28717, 62103, 18671, 143885, 0};
static int joe_kuo_d6_initial_number19613[] = {1, 3, 1, 1, 15, 5, 79, 107, 173, 747, 1213, 1151, 875, 12759, 27115, 16403, 31349, 208909, 0};
static int joe_kuo_d6_initial_number19614[] = {1, 3, 5, 9, 13, 57, 35, 121, 135, 237, 1707, 3655, 8109, 3623, 5119, 27645, 49401, 46453, 0};
static int joe_kuo_d6_initial_number19615[] = {1, 3, 7, 11, 27, 3, 103, 231, 43, 515, 1279, 499, 1355, 2605, 11587, 33641, 81661, 29441, 0};
static int joe_kuo_d6_initial_number19616[] = {1, 3, 5, 7, 13, 27, 55, 191, 81, 185, 527, 519, 4555, 3349, 24533, 60635, 40009, 230761, 0};
static int joe_kuo_d6_initial_number19617[] = {1, 1, 5, 3, 13, 35, 75, 211, 67, 305, 705, 543, 3819, 16265, 9867, 64309, 35047, 24873, 0};
static int joe_kuo_d6_initial_number19618[] = {1, 3, 1, 1, 11, 37, 75, 3, 145, 327, 1243, 3291, 7127, 5009, 7757, 59567, 90459, 98035, 0};
static int joe_kuo_d6_initial_number19619[] = {1, 3, 5, 9, 9, 5, 71, 29, 243, 41, 447, 2597, 1243, 12899, 19681, 30523, 90799, 142279, 0};
static int joe_kuo_d6_initial_number19620[] = {1, 3, 3, 3, 15, 21, 25, 101, 451, 651, 143, 3899, 3377, 4855, 23843, 25047, 87951, 239229, 0};
static int joe_kuo_d6_initial_number19621[] = {1, 1, 1, 1, 23, 29, 25, 31, 227, 43, 399, 723, 693, 12379, 11343, 46123, 105435, 224997, 0};
static int joe_kuo_d6_initial_number19622[] = {1, 1, 7, 3, 21, 47, 77, 57, 397, 689, 267, 813, 1279, 1727, 7451, 34025, 90273, 111663, 0};
static int joe_kuo_d6_initial_number19623[] = {1, 1, 5, 3, 25, 61, 7, 137, 271, 723, 495, 2575, 3695, 4947, 31973, 47835, 107003, 221839, 0};
static int joe_kuo_d6_initial_number19624[] = {1, 3, 1, 7, 5, 25, 21, 95, 323, 3, 613, 1721, 2551, 8803, 6803, 52765, 34543, 110945, 0};
static int joe_kuo_d6_initial_number19625[] = {1, 3, 5, 9, 27, 23, 123, 193, 63, 161, 1395, 679, 161, 13719, 29321, 19243, 51947, 229547, 0};
static int joe_kuo_d6_initial_number19626[] = {1, 3, 5, 15, 15, 37, 127, 103, 439, 513, 989, 1393, 3761, 9109, 20649, 18171, 69939, 117447, 0};
static int joe_kuo_d6_initial_number19627[] = {1, 1, 7, 9, 7, 57, 87, 159, 195, 821, 57, 2469, 7693, 6759, 32595, 41109, 94785, 53381, 0};
static int joe_kuo_d6_initial_number19628[] = {1, 3, 3, 7, 17, 63, 41, 7, 437, 469, 1453, 3741, 7591, 5563, 11819, 23861, 129777, 119731, 0};
static int joe_kuo_d6_initial_number19629[] = {1, 1, 3, 3, 27, 55, 21, 145, 243, 991, 687, 909, 2105, 4485, 9095, 3677, 53819, 183027, 0};
static int joe_kuo_d6_initial_number19630[] = {1, 1, 1, 15, 13, 61, 27, 81, 95, 37, 1439, 973, 7613, 5749, 16811, 26801, 105745, 8847, 0};
static int joe_kuo_d6_initial_number19631[] = {1, 3, 1, 9, 15, 17, 111, 61, 27, 373, 89, 2729, 6397, 4899, 11297, 4403, 30657, 207379, 0};
static int joe_kuo_d6_initial_number19632[] = {1, 3, 5, 15, 19, 9, 19, 19, 497, 667, 105, 601, 6715, 6355, 4231, 19241, 101771, 105651, 0};
static int joe_kuo_d6_initial_number19633[] = {1, 1, 3, 9, 11, 11, 115, 109, 177, 753, 997, 2119, 5969, 13377, 13285, 25373, 105023, 158393, 0};
static int joe_kuo_d6_initial_number19634[] = {1, 3, 5, 15, 27, 23, 19, 117, 129, 457, 1973, 2171, 8071, 2093, 13407, 9295, 82967, 184753, 0};
static int joe_kuo_d6_initial_number19635[] = {1, 1, 7, 5, 1, 45, 9, 25, 307, 629, 1169, 2859, 3987, 11411, 13609, 44993, 26019, 107003, 0};
static int joe_kuo_d6_initial_number19636[] = {1, 1, 1, 13, 29, 15, 13, 163, 203, 885, 281, 1605, 8001, 899, 4081, 65467, 61283, 198963, 0};
static int joe_kuo_d6_initial_number19637[] = {1, 1, 3, 5, 27, 9, 89, 193, 375, 633, 1807, 2069, 3467, 3167, 23751, 39115, 90093, 190365, 0};
static int joe_kuo_d6_initial_number19638[] = {1, 3, 3, 5, 1, 1, 19, 161, 21, 745, 493, 2227, 7993, 3337, 27041, 4817, 58963, 237015, 0};
static int joe_kuo_d6_initial_number19639[] = {1, 3, 5, 15, 15, 45, 51, 145, 299, 787, 1059, 2407, 1143, 775, 17473, 22235, 18241, 103897, 0};
static int joe_kuo_d6_initial_number19640[] = {1, 1, 1, 9, 11, 35, 75, 195, 281, 935, 113, 3009, 4797, 7221, 12475, 18563, 10315, 255541, 0};
static int joe_kuo_d6_initial_number19641[] = {1, 1, 5, 7, 25, 9, 121, 179, 303, 511, 2041, 1485, 529, 13843, 29013, 28139, 63237, 21259, 0};
static int joe_kuo_d6_initial_number19642[] = {1, 3, 7, 11, 9, 21, 61, 177, 63, 179, 679, 17, 4069, 8929, 14499, 53913, 27925, 48449, 0};
static int joe_kuo_d6_initial_number19643[] = {1, 3, 5, 3, 9, 27, 111, 247, 253, 175, 1591, 3583, 3351, 9039, 597, 23859, 126585, 157367, 0};
static int joe_kuo_d6_initial_number19644[] = {1, 1, 7, 9, 1, 9, 29, 1, 273, 89, 767, 1873, 39, 10487, 29857, 23577, 67457, 44571, 0};
static int joe_kuo_d6_initial_number19645[] = {1, 1, 7, 5, 5, 23, 13, 181, 283, 333, 21, 1409, 5937, 8981, 7445, 61267, 21729, 32677, 0};
static int joe_kuo_d6_initial_number19646[] = {1, 3, 1, 15, 31, 5, 45, 253, 179, 91, 341, 359, 4269, 7567, 23699, 30589, 42909, 126171, 0};
static int joe_kuo_d6_initial_number19647[] = {1, 3, 7, 7, 23, 45, 15, 93, 115, 873, 49, 845, 827, 14357, 20163, 41565, 37105, 120331, 0};
static int joe_kuo_d6_initial_number19648[] = {1, 1, 7, 7, 15, 25, 55, 175, 11, 457, 1537, 1937, 807, 11399, 27751, 16935, 75231, 204039, 0};
static int joe_kuo_d6_initial_number19649[] = {1, 3, 7, 13, 1, 37, 67, 145, 471, 1013, 1273, 4093, 4449, 4433, 29063, 205, 93249, 140383, 0};
static int joe_kuo_d6_initial_number19650[] = {1, 3, 1, 13, 1, 57, 85, 223, 349, 125, 863, 2179, 7813, 8817, 1767, 19169, 41367, 65883, 0};
static int joe_kuo_d6_initial_number19651[] = {1, 3, 3, 15, 21, 39, 3, 31, 67, 505, 271, 505, 5495, 4183, 3631, 4567, 48061, 149565, 0};
static int joe_kuo_d6_initial_number19652[] = {1, 1, 7, 11, 13, 39, 109, 201, 287, 1013, 1505, 3105, 3845, 1963, 4361, 61753, 29145, 146235, 0};
static int joe_kuo_d6_initial_number19653[] = {1, 3, 5, 3, 29, 39, 71, 99, 501, 53, 835, 3295, 5335, 1017, 25913, 63637, 115353, 210509, 0};
static int joe_kuo_d6_initial_number19654[] = {1, 3, 1, 13, 9, 53, 33, 177, 419, 63, 793, 1329, 2261, 11633, 18805, 49771, 47533, 74949, 0};
static int joe_kuo_d6_initial_number19655[] = {1, 3, 7, 11, 7, 49, 123, 237, 195, 17, 1919, 1911, 4135, 11829, 26307, 34905, 114361, 228655, 0};
static int joe_kuo_d6_initial_number19656[] = {1, 3, 5, 3, 5, 57, 65, 161, 195, 857, 1187, 2303, 1975, 2555, 26065, 17963, 57403, 136193, 0};
static int joe_kuo_d6_initial_number19657[] = {1, 1, 3, 11, 1, 5, 105, 217, 229, 769, 1393, 2419, 7751, 14293, 9407, 4569, 30663, 89345, 0};
static int joe_kuo_d6_initial_number19658[] = {1, 3, 3, 7, 23, 15, 15, 189, 67, 863, 485, 2435, 5145, 10537, 16485, 50369, 118245, 253201, 0};
static int joe_kuo_d6_initial_number19659[] = {1, 1, 1, 5, 27, 27, 47, 129, 383, 227, 115, 3027, 1575, 15765, 10207, 4885, 125707, 184703, 0};
static int joe_kuo_d6_initial_number19660[] = {1, 3, 5, 5, 17, 9, 45, 55, 151, 751, 415, 2139, 8071, 2309, 27641, 29743, 47183, 21437, 0};
static int joe_kuo_d6_initial_number19661[] = {1, 3, 3, 7, 9, 47, 51, 31, 261, 237, 1695, 1065, 4503, 7167, 25791, 39659, 90145, 130481, 0};
static int joe_kuo_d6_initial_number19662[] = {1, 1, 3, 3, 21, 27, 53, 249, 407, 779, 1315, 1005, 6953, 14959, 2265, 61645, 118623, 254067, 0};
static int joe_kuo_d6_initial_number19663[] = {1, 3, 1, 9, 13, 25, 33, 225, 467, 325, 1513, 1237, 1569, 8749, 1587, 4699, 19893, 163597, 0};
static int joe_kuo_d6_initial_number19664[] = {1, 3, 5, 5, 29, 29, 1, 55, 437, 575, 149, 791, 4243, 4405, 22963, 64125, 21631, 25819, 0};
static int joe_kuo_d6_initial_number19665[] = {1, 3, 5, 3, 25, 9, 19, 27, 419, 139, 2035, 2065, 1925, 11499, 20053, 13161, 15115, 120891, 0};
static int joe_kuo_d6_initial_number19666[] = {1, 1, 5, 9, 7, 9, 113, 3, 195, 555, 863, 595, 6569, 9819, 14727, 38285, 13737, 130903, 0};
static int joe_kuo_d6_initial_number19667[] = {1, 1, 3, 7, 19, 17, 35, 107, 489, 285, 247, 3103, 2919, 11163, 2811, 62081, 42989, 24495, 0};
static int joe_kuo_d6_initial_number19668[] = {1, 3, 1, 15, 17, 5, 123, 221, 117, 689, 1567, 3803, 5801, 14121, 23263, 8851, 41559, 226271, 0};
static int joe_kuo_d6_initial_number19669[] = {1, 1, 1, 15, 21, 39, 87, 135, 485, 59, 1899, 2483, 2599, 8783, 6129, 55407, 7291, 217117, 0};
static int joe_kuo_d6_initial_number19670[] = {1, 1, 3, 11, 27, 53, 45, 241, 51, 829, 121, 3047, 6785, 15127, 13923, 47913, 9087, 112005, 0};
static int joe_kuo_d6_initial_number19671[] = {1, 1, 1, 13, 5, 9, 45, 37, 235, 497, 871, 1471, 2895, 247, 9085, 39611, 63445, 218391, 0};
static int joe_kuo_d6_initial_number19672[] = {1, 1, 5, 3, 5, 29, 23, 155, 339, 293, 535, 1569, 2625, 2867, 4639, 53049, 88721, 96903, 0};
static int joe_kuo_d6_initial_number19673[] = {1, 1, 3, 15, 5, 25, 17, 45, 47, 683, 949, 1381, 5929, 9539, 3345, 59883, 19071, 200411, 0};
static int joe_kuo_d6_initial_number19674[] = {1, 1, 1, 11, 11, 5, 71, 15, 469, 749, 1763, 541, 7109, 11731, 8463, 35145, 121795, 219441, 0};
static int joe_kuo_d6_initial_number19675[] = {1, 3, 7, 11, 5, 17, 63, 159, 69, 993, 1519, 1531, 6913, 3901, 22131, 42909, 41299, 261813, 0};
static int joe_kuo_d6_initial_number19676[] = {1, 1, 3, 5, 21, 27, 27, 197, 339, 275, 2011, 2263, 855, 1939, 21561, 30577, 6515, 124417, 0};
static int joe_kuo_d6_initial_number19677[] = {1, 3, 5, 15, 25, 35, 91, 31, 269, 857, 327, 3643, 3211, 14401, 18399, 9007, 12897, 25555, 0};
static int joe_kuo_d6_initial_number19678[] = {1, 1, 7, 15, 19, 47, 127, 157, 407, 867, 943, 1509, 3113, 49, 32131, 46975, 130013, 66457, 0};
static int joe_kuo_d6_initial_number19679[] = {1, 3, 3, 13, 31, 45, 59, 135, 67, 825, 157, 2441, 2851, 2355, 28115, 14075, 106317, 145945, 0};
static int joe_kuo_d6_initial_number19680[] = {1, 1, 1, 15, 27, 27, 5, 211, 85, 749, 671, 1341, 6865, 10027, 14419, 20159, 126647, 147893, 0};
static int joe_kuo_d6_initial_number19681[] = {1, 1, 1, 7, 25, 49, 115, 231, 65, 161, 1409, 573, 2859, 639, 12567, 58459, 73781, 136893, 0};
static int joe_kuo_d6_initial_number19682[] = {1, 1, 1, 7, 11, 57, 97, 141, 327, 975, 1799, 3051, 365, 9331, 14583, 16723, 113153, 224127, 0};
static int joe_kuo_d6_initial_number19683[] = {1, 3, 1, 13, 13, 17, 105, 109, 151, 41, 1903, 1685, 2285, 5697, 16559, 34133, 106045, 203217, 0};
static int joe_kuo_d6_initial_number19684[] = {1, 1, 1, 3, 29, 61, 43, 255, 269, 277, 1847, 3781, 7991, 131, 9833, 34305, 10763, 41869, 0};
static int joe_kuo_d6_initial_number19685[] = {1, 1, 7, 3, 11, 1, 85, 89, 247, 99, 419, 2041, 3729, 10301, 5291, 36033, 31749, 261871, 0};
static int joe_kuo_d6_initial_number19686[] = {1, 3, 7, 9, 27, 27, 41, 3, 303, 893, 697, 1631, 5015, 4233, 22827, 3913, 22245, 121193, 0};
static int joe_kuo_d6_initial_number19687[] = {1, 3, 3, 13, 19, 11, 15, 239, 419, 123, 1213, 185, 4465, 4909, 25421, 18363, 72537, 167939, 0};
static int joe_kuo_d6_initial_number19688[] = {1, 1, 3, 5, 13, 49, 57, 197, 19, 877, 1465, 2933, 5909, 7147, 1039, 37035, 91209, 126013, 0};
static int joe_kuo_d6_initial_number19689[] = {1, 1, 3, 5, 23, 7, 63, 179, 59, 47, 1501, 1863, 2949, 13959, 28131, 29705, 107975, 155251, 0};
static int joe_kuo_d6_initial_number19690[] = {1, 1, 1, 5, 25, 51, 77, 169, 327, 585, 1531, 3367, 3075, 6313, 26725, 453, 68635, 173787, 0};
static int joe_kuo_d6_initial_number19691[] = {1, 3, 7, 9, 5, 15, 43, 45, 311, 367, 297, 2249, 7507, 4785, 22685, 37279, 121683, 141453, 0};
static int joe_kuo_d6_initial_number19692[] = {1, 3, 7, 15, 17, 33, 43, 251, 281, 345, 1659, 3729, 7629, 6179, 26107, 64255, 88003, 2545, 0};
static int joe_kuo_d6_initial_number19693[] = {1, 3, 7, 9, 17, 13, 71, 49, 341, 495, 1975, 173, 5773, 3821, 6615, 50917, 53781, 75557, 0};
static int joe_kuo_d6_initial_number19694[] = {1, 1, 5, 13, 17, 21, 121, 35, 195, 367, 1191, 1331, 6423, 8425, 7705, 59117, 44575, 225431, 0};
static int joe_kuo_d6_initial_number19695[] = {1, 1, 1, 5, 25, 39, 89, 65, 449, 491, 211, 2949, 4493, 23, 22571, 4801, 50525, 222563, 0};
static int joe_kuo_d6_initial_number19696[] = {1, 1, 7, 5, 7, 21, 15, 171, 443, 225, 577, 1841, 8139, 15071, 6095, 60185, 71957, 244753, 0};
static int joe_kuo_d6_initial_number19697[] = {1, 1, 5, 9, 31, 33, 21, 195, 415, 1003, 441, 627, 2339, 8245, 11187, 55933, 59045, 177455, 0};
static int joe_kuo_d6_initial_number19698[] = {1, 1, 3, 9, 31, 29, 7, 15, 31, 577, 1435, 1317, 2923, 3807, 29693, 45857, 61787, 213565, 0};
static int joe_kuo_d6_initial_number19699[] = {1, 3, 7, 15, 17, 51, 65, 87, 295, 811, 753, 1113, 7695, 275, 28331, 46363, 53247, 166993, 0};
static int joe_kuo_d6_initial_number19700[] = {1, 1, 5, 11, 15, 31, 31, 47, 273, 383, 1831, 3821, 1337, 13257, 415, 35453, 15293, 173095, 0};
static int joe_kuo_d6_initial_number19701[] = {1, 3, 1, 13, 19, 21, 63, 199, 159, 475, 1257, 3119, 7083, 2861, 21099, 16873, 83583, 186289, 0};
static int joe_kuo_d6_initial_number19702[] = {1, 1, 7, 13, 15, 23, 11, 103, 387, 899, 261, 2863, 3681, 5683, 5587, 64655, 7411, 148633, 0};
static int joe_kuo_d6_initial_number19703[] = {1, 3, 1, 13, 1, 45, 5, 173, 379, 287, 1451, 2253, 3811, 10963, 20285, 59681, 81285, 48523, 0};
static int joe_kuo_d6_initial_number19704[] = {1, 1, 5, 9, 27, 17, 57, 25, 499, 289, 1083, 3057, 793, 5251, 10519, 36647, 67751, 237487, 0};
static int joe_kuo_d6_initial_number19705[] = {1, 1, 3, 1, 17, 13, 23, 73, 1, 951, 111, 3769, 3611, 4827, 10081, 55919, 21411, 127303, 0};
static int joe_kuo_d6_initial_number19706[] = {1, 3, 1, 1, 29, 35, 93, 139, 179, 217, 1839, 1907, 4365, 1813, 31985, 28927, 39319, 233413, 0};
static int joe_kuo_d6_initial_number19707[] = {1, 1, 1, 7, 7, 47, 37, 127, 449, 473, 311, 3833, 3263, 4163, 15985, 50159, 82685, 73273, 0};
static int joe_kuo_d6_initial_number19708[] = {1, 1, 1, 3, 3, 5, 69, 95, 101, 115, 1575, 63, 1897, 13733, 22149, 8793, 82983, 192553, 0};
static int joe_kuo_d6_initial_number19709[] = {1, 3, 1, 5, 3, 57, 121, 13, 291, 975, 505, 3105, 6929, 12737, 25869, 29173, 16757, 17733, 0};
static int joe_kuo_d6_initial_number19710[] = {1, 1, 3, 13, 13, 23, 51, 51, 239, 795, 877, 1547, 6533, 11497, 14309, 32941, 128109, 187313, 0};
static int joe_kuo_d6_initial_number19711[] = {1, 1, 3, 5, 19, 37, 57, 223, 509, 379, 1235, 1881, 4133, 13219, 5479, 36781, 56155, 231001, 0};
static int joe_kuo_d6_initial_number19712[] = {1, 1, 1, 5, 25, 45, 111, 183, 37, 875, 1487, 3771, 5593, 6835, 10921, 40697, 114455, 259491, 0};
static int joe_kuo_d6_initial_number19713[] = {1, 1, 3, 11, 13, 5, 43, 47, 7, 435, 1543, 3835, 1631, 8889, 23567, 24705, 26687, 14261, 0};
static int joe_kuo_d6_initial_number19714[] = {1, 3, 3, 11, 1, 13, 51, 171, 433, 1011, 679, 1307, 1683, 7379, 7163, 29727, 40209, 259973, 0};
static int joe_kuo_d6_initial_number19715[] = {1, 3, 1, 5, 25, 33, 111, 11, 303, 815, 1883, 263, 7907, 12637, 19203, 64151, 55739, 240509, 0};
static int joe_kuo_d6_initial_number19716[] = {1, 3, 5, 7, 23, 51, 3, 183, 425, 47, 231, 807, 1891, 10943, 17873, 20209, 60871, 30269, 0};
static int joe_kuo_d6_initial_number19717[] = {1, 1, 1, 1, 1, 23, 11, 183, 351, 5, 37, 3883, 1291, 15933, 11379, 53057, 61389, 240547, 0};
static int joe_kuo_d6_initial_number19718[] = {1, 3, 1, 5, 7, 53, 97, 29, 239, 805, 1929, 1001, 5103, 11, 24695, 7825, 109755, 254717, 0};
static int joe_kuo_d6_initial_number19719[] = {1, 3, 3, 11, 15, 37, 115, 117, 391, 313, 1761, 3627, 3931, 10277, 1767, 25401, 123827, 60463, 0};
static int joe_kuo_d6_initial_number19720[] = {1, 1, 7, 9, 9, 61, 23, 65, 473, 579, 1979, 415, 629, 3613, 27409, 46909, 3281, 3883, 0};
static int joe_kuo_d6_initial_number19721[] = {1, 3, 3, 13, 25, 17, 71, 247, 297, 451, 153, 1949, 2727, 6427, 19815, 54013, 129363, 248237, 0};
static int joe_kuo_d6_initial_number19722[] = {1, 1, 7, 7, 29, 9, 57, 171, 159, 287, 693, 1365, 4665, 5255, 15013, 21225, 125409, 5893, 0};
static int joe_kuo_d6_initial_number19723[] = {1, 3, 3, 1, 9, 43, 13, 139, 359, 267, 115, 2025, 693, 4789, 10353, 60459, 30835, 56575, 0};
static int joe_kuo_d6_initial_number19724[] = {1, 1, 1, 7, 23, 35, 35, 77, 245, 705, 75, 2841, 1683, 6109, 19661, 49021, 25019, 7297, 0};
static int joe_kuo_d6_initial_number19725[] = {1, 3, 1, 5, 1, 19, 49, 53, 19, 435, 1471, 409, 7051, 7057, 3621, 42925, 59551, 70941, 0};
static int joe_kuo_d6_initial_number19726[] = {1, 3, 7, 5, 21, 27, 39, 221, 389, 255, 537, 597, 7729, 10473, 6657, 13261, 11303, 112409, 0};
static int joe_kuo_d6_initial_number19727[] = {1, 3, 7, 13, 29, 29, 81, 107, 329, 25, 537, 561, 2247, 10371, 30031, 20537, 28437, 113319, 0};
static int joe_kuo_d6_initial_number19728[] = {1, 1, 5, 9, 9, 7, 89, 155, 337, 829, 755, 3259, 3563, 11849, 31179, 43297, 79601, 187545, 0};
static int joe_kuo_d6_initial_number19729[] = {1, 3, 3, 5, 11, 63, 101, 159, 357, 627, 587, 3233, 405, 4083, 5953, 44541, 110723, 240573, 0};
static int joe_kuo_d6_initial_number19730[] = {1, 1, 3, 15, 5, 39, 87, 231, 455, 195, 1603, 315, 3869, 6375, 745, 28349, 56469, 119033, 0};
static int joe_kuo_d6_initial_number19731[] = {1, 1, 7, 1, 11, 7, 79, 47, 391, 585, 1299, 3237, 7345, 15959, 4293, 43285, 111737, 215923, 0};
static int joe_kuo_d6_initial_number19732[] = {1, 1, 3, 15, 21, 53, 113, 73, 265, 589, 299, 289, 3983, 1653, 17407, 15287, 53199, 44221, 0};
static int joe_kuo_d6_initial_number19733[] = {1, 3, 1, 3, 1, 13, 31, 41, 509, 523, 401, 2647, 2731, 5699, 15649, 51737, 81249, 230865, 0};
static int joe_kuo_d6_initial_number19734[] = {1, 3, 5, 3, 15, 53, 91, 209, 249, 243, 1119, 2531, 319, 9259, 26555, 59579, 28767, 235073, 0};
static int joe_kuo_d6_initial_number19735[] = {1, 1, 1, 13, 29, 25, 57, 3, 413, 945, 841, 1151, 7167, 2545, 7283, 3947, 109375, 148677, 0};
static int joe_kuo_d6_initial_number19736[] = {1, 3, 3, 7, 29, 27, 81, 141, 21, 771, 577, 897, 73, 13081, 30035, 49213, 90627, 7483, 0};
static int joe_kuo_d6_initial_number19737[] = {1, 3, 1, 13, 23, 11, 19, 159, 183, 789, 683, 2071, 7107, 3025, 27333, 9571, 69621, 48529, 0};
static int joe_kuo_d6_initial_number19738[] = {1, 3, 1, 9, 5, 43, 7, 123, 341, 75, 1709, 135, 7929, 14563, 6849, 32783, 91971, 223789, 0};
static int joe_kuo_d6_initial_number19739[] = {1, 1, 7, 3, 19, 13, 45, 229, 7, 559, 1895, 2649, 7593, 1063, 17715, 45019, 29743, 37819, 0};
static int joe_kuo_d6_initial_number19740[] = {1, 1, 5, 3, 11, 25, 11, 169, 249, 415, 249, 209, 2223, 5947, 23381, 12109, 37697, 131729, 0};
static int joe_kuo_d6_initial_number19741[] = {1, 1, 1, 7, 19, 47, 125, 117, 235, 825, 801, 921, 2363, 1261, 20529, 65445, 55315, 173561, 0};
static int joe_kuo_d6_initial_number19742[] = {1, 1, 1, 1, 5, 39, 31, 11, 239, 333, 727, 3991, 1453, 2201, 18129, 3513, 112057, 109673, 0};
static int joe_kuo_d6_initial_number19743[] = {1, 1, 7, 5, 21, 59, 37, 255, 261, 1, 1401, 1101, 1233, 3813, 22809, 39389, 66263, 191623, 0};
static int joe_kuo_d6_initial_number19744[] = {1, 3, 1, 7, 5, 51, 73, 85, 319, 671, 1149, 1631, 6021, 10711, 3813, 36485, 106147, 202021, 0};
static int joe_kuo_d6_initial_number19745[] = {1, 3, 3, 13, 7, 63, 59, 253, 337, 453, 61, 209, 2809, 10429, 28069, 55971, 57985, 244779, 0};
static int joe_kuo_d6_initial_number19746[] = {1, 1, 1, 9, 27, 59, 45, 101, 427, 713, 1667, 2965, 6161, 1235, 8793, 2387, 66031, 85151, 0};
static int joe_kuo_d6_initial_number19747[] = {1, 1, 3, 1, 5, 25, 101, 7, 449, 149, 823, 725, 6803, 11949, 13009, 14785, 45633, 241957, 0};
static int joe_kuo_d6_initial_number19748[] = {1, 3, 7, 15, 29, 45, 103, 151, 159, 23, 1353, 3541, 5909, 4173, 31391, 16179, 38289, 206603, 0};
static int joe_kuo_d6_initial_number19749[] = {1, 1, 7, 7, 23, 3, 97, 29, 141, 383, 379, 3189, 4399, 4545, 30797, 55827, 126223, 97049, 0};
static int joe_kuo_d6_initial_number19750[] = {1, 3, 3, 7, 25, 35, 61, 15, 349, 929, 65, 3697, 7637, 12239, 29051, 36001, 114513, 151069, 0};
static int joe_kuo_d6_initial_number19751[] = {1, 3, 3, 11, 19, 1, 23, 245, 9, 689, 1251, 1043, 2393, 15817, 31561, 21059, 3435, 228091, 0};
static int joe_kuo_d6_initial_number19752[] = {1, 3, 7, 3, 23, 17, 121, 147, 427, 47, 905, 3877, 2301, 15709, 13599, 48895, 108955, 53219, 0};
static int joe_kuo_d6_initial_number19753[] = {1, 3, 7, 3, 25, 31, 53, 143, 1, 841, 1691, 749, 6713, 5373, 23487, 25749, 13911, 240923, 0};
static int joe_kuo_d6_initial_number19754[] = {1, 3, 5, 3, 7, 39, 101, 83, 159, 187, 583, 721, 7745, 1119, 61, 27319, 35157, 241729, 0};
static int joe_kuo_d6_initial_number19755[] = {1, 1, 5, 11, 27, 21, 79, 199, 179, 463, 987, 3909, 1741, 503, 12339, 15323, 4063, 180337, 0};
static int joe_kuo_d6_initial_number19756[] = {1, 3, 7, 11, 23, 43, 7, 115, 489, 215, 209, 3213, 4057, 13221, 27061, 52037, 34921, 36385, 0};
static int joe_kuo_d6_initial_number19757[] = {1, 1, 7, 1, 15, 13, 113, 55, 207, 839, 1939, 4095, 5629, 7647, 12753, 59739, 60779, 196589, 0};
static int joe_kuo_d6_initial_number19758[] = {1, 1, 1, 5, 5, 13, 113, 243, 297, 513, 1615, 1513, 1247, 4025, 20901, 44775, 86987, 75437, 0};
static int joe_kuo_d6_initial_number19759[] = {1, 1, 3, 7, 7, 35, 77, 115, 223, 929, 1683, 949, 2191, 15533, 29471, 24103, 102475, 173027, 0};
static int joe_kuo_d6_initial_number19760[] = {1, 3, 1, 11, 23, 37, 7, 179, 287, 267, 319, 3147, 1481, 12297, 28185, 51423, 7505, 236225, 0};
static int joe_kuo_d6_initial_number19761[] = {1, 1, 3, 5, 27, 5, 71, 95, 289, 121, 939, 3543, 365, 4903, 10091, 3903, 111155, 83517, 0};
static int joe_kuo_d6_initial_number19762[] = {1, 1, 7, 9, 29, 3, 87, 245, 313, 973, 1181, 3389, 3697, 13237, 13703, 31557, 17269, 17329, 0};
static int joe_kuo_d6_initial_number19763[] = {1, 1, 5, 11, 5, 41, 117, 51, 239, 907, 809, 741, 5327, 3403, 11825, 46981, 93485, 38053, 0};
static int joe_kuo_d6_initial_number19764[] = {1, 1, 7, 1, 25, 41, 5, 169, 11, 599, 1451, 2189, 7255, 8441, 11169, 58313, 4387, 69, 0};
static int joe_kuo_d6_initial_number19765[] = {1, 3, 1, 13, 5, 21, 75, 229, 153, 355, 1511, 175, 4793, 12111, 25321, 39983, 84205, 195003, 0};
static int joe_kuo_d6_initial_number19766[] = {1, 1, 7, 1, 17, 61, 67, 181, 69, 149, 921, 1107, 6319, 431, 29481, 12507, 13109, 29527, 0};
static int joe_kuo_d6_initial_number19767[] = {1, 1, 5, 5, 27, 47, 69, 119, 469, 193, 513, 1573, 7421, 2723, 20997, 59585, 49645, 261259, 0};
static int joe_kuo_d6_initial_number19768[] = {1, 1, 3, 9, 27, 41, 41, 3, 181, 803, 1281, 2937, 6745, 5629, 8403, 18987, 98411, 128321, 0};
static int joe_kuo_d6_initial_number19769[] = {1, 3, 3, 9, 5, 29, 55, 223, 309, 841, 1049, 1163, 3497, 8935, 8529, 51367, 90693, 77463, 0};
static int joe_kuo_d6_initial_number19770[] = {1, 3, 5, 3, 3, 59, 23, 31, 309, 907, 107, 3471, 4365, 14463, 24093, 35435, 24587, 151163, 0};
static int joe_kuo_d6_initial_number19771[] = {1, 3, 3, 1, 11, 37, 99, 95, 485, 601, 1797, 891, 5645, 8927, 22085, 5185, 18495, 260455, 0};
static int joe_kuo_d6_initial_number19772[] = {1, 3, 7, 15, 31, 61, 5, 177, 159, 287, 311, 1377, 1419, 4387, 25297, 22505, 100937, 223785, 0};
static int joe_kuo_d6_initial_number19773[] = {1, 3, 3, 3, 27, 31, 45, 171, 95, 507, 1475, 4013, 2781, 133, 6857, 3367, 103455, 69559, 0};
static int joe_kuo_d6_initial_number19774[] = {1, 3, 3, 7, 9, 51, 47, 247, 213, 665, 1929, 2799, 5513, 9183, 20197, 14831, 75277, 187565, 0};
static int joe_kuo_d6_initial_number19775[] = {1, 3, 1, 9, 13, 11, 15, 253, 145, 31, 847, 1579, 5513, 9, 3327, 46049, 16709, 56353, 0};
static int joe_kuo_d6_initial_number19776[] = {1, 3, 3, 3, 9, 17, 59, 131, 3, 621, 1209, 3415, 2999, 127, 629, 7925, 6109, 59743, 0};
static int joe_kuo_d6_initial_number19777[] = {1, 1, 5, 15, 29, 35, 87, 197, 495, 671, 51, 293, 3943, 7969, 4739, 10161, 119943, 97217, 0};
static int joe_kuo_d6_initial_number19778[] = {1, 1, 1, 9, 25, 57, 61, 197, 139, 899, 783, 3835, 3407, 16301, 19033, 33359, 56309, 16237, 0};
static int joe_kuo_d6_initial_number19779[] = {1, 1, 5, 11, 25, 47, 95, 121, 197, 511, 227, 2281, 5805, 10581, 14885, 19685, 28075, 25431, 0};
static int joe_kuo_d6_initial_number19780[] = {1, 1, 3, 9, 1, 43, 59, 105, 319, 45, 1567, 905, 7641, 2199, 3979, 13717, 22829, 44777, 0};
static int joe_kuo_d6_initial_number19781[] = {1, 3, 7, 1, 19, 49, 105, 53, 227, 293, 989, 697, 2553, 4561, 14851, 8999, 74815, 207475, 0};
static int joe_kuo_d6_initial_number19782[] = {1, 1, 5, 11, 23, 3, 85, 29, 419, 847, 1385, 3857, 641, 14951, 25629, 18019, 2497, 24723, 0};
static int joe_kuo_d6_initial_number19783[] = {1, 3, 5, 15, 5, 11, 51, 225, 179, 695, 787, 663, 7051, 3595, 4987, 53315, 88693, 7915, 0};
static int joe_kuo_d6_initial_number19784[] = {1, 3, 1, 13, 17, 51, 51, 247, 431, 555, 603, 3301, 443, 629, 26509, 32047, 54433, 208297, 0};
static int joe_kuo_d6_initial_number19785[] = {1, 3, 7, 7, 13, 41, 95, 105, 135, 443, 377, 1259, 3301, 6945, 11677, 33869, 107799, 186567, 0};
static int joe_kuo_d6_initial_number19786[] = {1, 1, 5, 7, 31, 17, 85, 129, 409, 781, 983, 25, 6877, 83, 12625, 31919, 41989, 55195, 0};
static int joe_kuo_d6_initial_number19787[] = {1, 1, 3, 3, 7, 45, 37, 45, 237, 967, 1371, 657, 7983, 3121, 32707, 25757, 49987, 92683, 0};
static int joe_kuo_d6_initial_number19788[] = {1, 3, 1, 1, 19, 57, 63, 25, 355, 893, 2017, 1671, 7343, 4451, 28243, 22157, 103901, 178017, 0};
static int joe_kuo_d6_initial_number19789[] = {1, 3, 7, 13, 17, 59, 81, 99, 329, 117, 1395, 2565, 5725, 2371, 343, 4713, 35077, 49793, 0};
static int joe_kuo_d6_initial_number19790[] = {1, 3, 7, 15, 31, 19, 87, 243, 411, 339, 1063, 117, 1827, 1583, 12571, 23153, 3363, 81695, 0};
static int joe_kuo_d6_initial_number19791[] = {1, 3, 7, 1, 3, 49, 95, 133, 295, 433, 1885, 843, 6679, 13673, 32277, 59085, 46957, 217037, 0};
static int joe_kuo_d6_initial_number19792[] = {1, 1, 3, 9, 23, 53, 45, 183, 79, 55, 1267, 283, 3249, 4101, 8107, 54473, 126141, 127235, 0};
static int joe_kuo_d6_initial_number19793[] = {1, 3, 5, 7, 19, 57, 113, 205, 37, 817, 929, 3643, 2231, 15725, 1733, 7877, 116741, 254529, 0};
static int joe_kuo_d6_initial_number19794[] = {1, 3, 1, 9, 9, 7, 75, 45, 83, 203, 1401, 445, 1043, 239, 30865, 32189, 91081, 180681, 0};
static int joe_kuo_d6_initial_number19795[] = {1, 1, 7, 7, 1, 3, 61, 255, 483, 599, 897, 1601, 5189, 13279, 4981, 37235, 117505, 66625, 0};
static int joe_kuo_d6_initial_number19796[] = {1, 1, 3, 13, 29, 43, 65, 73, 213, 307, 959, 2735, 5155, 16063, 15745, 6225, 50159, 182445, 0};
static int joe_kuo_d6_initial_number19797[] = {1, 1, 3, 9, 31, 61, 73, 185, 457, 687, 1887, 4041, 3455, 4739, 16399, 40929, 32631, 179031, 0};
static int joe_kuo_d6_initial_number19798[] = {1, 3, 3, 15, 5, 45, 1, 241, 187, 23, 63, 2497, 7759, 9175, 11003, 40579, 45769, 107133, 0};
static int joe_kuo_d6_initial_number19799[] = {1, 3, 3, 7, 5, 63, 7, 67, 31, 917, 1825, 2037, 2527, 9767, 2665, 18573, 14289, 21583, 0};
static int joe_kuo_d6_initial_number19800[] = {1, 1, 5, 15, 15, 25, 51, 127, 261, 925, 1651, 769, 7779, 7327, 7239, 20437, 9947, 144697, 0};
static int joe_kuo_d6_initial_number19801[] = {1, 1, 5, 1, 5, 13, 99, 7, 269, 135, 345, 1851, 7963, 457, 24573, 32529, 127359, 157755, 0};
static int joe_kuo_d6_initial_number19802[] = {1, 3, 5, 15, 21, 17, 31, 115, 321, 351, 117, 1301, 2455, 3363, 14213, 62903, 75273, 261119, 0};
static int joe_kuo_d6_initial_number19803[] = {1, 3, 7, 1, 1, 9, 53, 209, 319, 489, 827, 1365, 4709, 7419, 28213, 56095, 9611, 234877, 0};
static int joe_kuo_d6_initial_number19804[] = {1, 1, 5, 5, 1, 7, 49, 15, 377, 309, 1701, 1775, 5571, 12437, 27521, 54753, 68977, 138549, 0};
static int joe_kuo_d6_initial_number19805[] = {1, 1, 3, 11, 9, 29, 67, 21, 411, 647, 983, 1075, 2387, 13355, 1781, 56129, 87235, 260133, 0};
static int joe_kuo_d6_initial_number19806[] = {1, 3, 1, 11, 5, 57, 71, 159, 345, 853, 745, 3733, 1607, 7265, 20097, 18911, 101141, 70495, 0};
static int joe_kuo_d6_initial_number19807[] = {1, 1, 3, 9, 1, 43, 127, 127, 471, 465, 1777, 1879, 4655, 12925, 24935, 58445, 78303, 200463, 0};
static int joe_kuo_d6_initial_number19808[] = {1, 1, 1, 15, 5, 33, 63, 17, 401, 831, 1559, 3547, 7869, 13901, 18185, 9399, 65859, 185315, 0};
static int joe_kuo_d6_initial_number19809[] = {1, 3, 7, 1, 25, 21, 17, 175, 401, 833, 847, 3593, 1283, 14745, 11827, 1987, 89299, 187369, 0};
static int joe_kuo_d6_initial_number19810[] = {1, 1, 7, 13, 29, 31, 45, 219, 177, 369, 1313, 3015, 5859, 1829, 8793, 49109, 97581, 233179, 0};
static int joe_kuo_d6_initial_number19811[] = {1, 3, 3, 15, 17, 31, 61, 215, 231, 495, 1307, 3067, 3187, 8813, 22505, 14055, 30773, 177955, 0};
static int joe_kuo_d6_initial_number19812[] = {1, 3, 7, 15, 9, 61, 57, 105, 89, 267, 233, 905, 3727, 1841, 31875, 32499, 27003, 208491, 0};
static int joe_kuo_d6_initial_number19813[] = {1, 3, 1, 11, 31, 9, 63, 55, 213, 209, 1625, 2635, 4335, 15201, 6127, 11097, 37991, 62813, 0};
static int joe_kuo_d6_initial_number19814[] = {1, 1, 1, 5, 13, 49, 127, 249, 339, 525, 1943, 2935, 3255, 5199, 6869, 6325, 731, 51085, 0};
static int joe_kuo_d6_initial_number19815[] = {1, 1, 5, 7, 7, 29, 59, 187, 463, 409, 1321, 377, 7361, 8303, 20385, 39649, 81379, 235555, 0};
static int joe_kuo_d6_initial_number19816[] = {1, 1, 5, 13, 15, 45, 99, 57, 217, 535, 1747, 4081, 4781, 1005, 25197, 23853, 90587, 189579, 0};
static int joe_kuo_d6_initial_number19817[] = {1, 1, 7, 7, 23, 31, 1, 151, 339, 447, 523, 2609, 5917, 6965, 25815, 62797, 104083, 245917, 0};
static int joe_kuo_d6_initial_number19818[] = {1, 3, 5, 3, 7, 37, 79, 253, 423, 511, 1477, 3121, 5557, 1413, 31075, 22249, 117639, 243543, 0};
static int joe_kuo_d6_initial_number19819[] = {1, 1, 3, 7, 5, 31, 93, 117, 135, 235, 745, 3287, 4451, 2487, 15179, 62229, 18247, 150277, 0};
static int joe_kuo_d6_initial_number19820[] = {1, 1, 7, 15, 31, 57, 125, 219, 433, 629, 1809, 2499, 6083, 7631, 31495, 63183, 28533, 120579, 0};
static int joe_kuo_d6_initial_number19821[] = {1, 1, 1, 13, 31, 47, 77, 73, 343, 867, 1055, 1121, 3035, 15693, 6971, 50231, 16527, 190795, 0};
static int joe_kuo_d6_initial_number19822[] = {1, 3, 7, 7, 11, 1, 5, 215, 87, 885, 1429, 1277, 3831, 9341, 22011, 34585, 56167, 65301, 0};
static int joe_kuo_d6_initial_number19823[] = {1, 3, 1, 15, 13, 53, 91, 59, 277, 819, 453, 3191, 757, 4729, 20605, 4283, 110745, 233655, 0};
static int joe_kuo_d6_initial_number19824[] = {1, 3, 3, 5, 17, 47, 69, 117, 113, 775, 935, 1879, 2239, 5877, 18337, 50895, 44891, 2759, 0};
static int joe_kuo_d6_initial_number19825[] = {1, 3, 5, 1, 27, 31, 77, 65, 355, 405, 825, 2419, 3337, 10179, 27665, 35459, 13721, 154227, 0};
static int joe_kuo_d6_initial_number19826[] = {1, 3, 3, 7, 23, 61, 9, 241, 239, 85, 485, 2659, 5371, 16175, 28691, 49109, 124433, 167033, 0};
static int joe_kuo_d6_initial_number19827[] = {1, 3, 3, 3, 11, 57, 37, 155, 443, 249, 1913, 1347, 6569, 5357, 4231, 58273, 50707, 57097, 0};
static int joe_kuo_d6_initial_number19828[] = {1, 1, 3, 3, 1, 7, 87, 115, 259, 807, 45, 2997, 63, 16313, 12507, 39925, 17699, 24411, 0};
static int joe_kuo_d6_initial_number19829[] = {1, 3, 3, 1, 19, 59, 97, 209, 247, 395, 21, 1803, 2547, 11607, 15703, 58099, 111907, 196101, 0};
static int joe_kuo_d6_initial_number19830[] = {1, 1, 7, 13, 27, 61, 73, 183, 493, 953, 445, 567, 7373, 15275, 30081, 539, 89365, 3455, 0};
static int joe_kuo_d6_initial_number19831[] = {1, 3, 1, 3, 25, 35, 3, 105, 243, 781, 1937, 2781, 7849, 2159, 2221, 58005, 89313, 182183, 0};
static int joe_kuo_d6_initial_number19832[] = {1, 1, 7, 15, 21, 7, 67, 163, 179, 453, 581, 2245, 3915, 8985, 16809, 35113, 93605, 79009, 0};
static int joe_kuo_d6_initial_number19833[] = {1, 1, 7, 5, 29, 57, 13, 75, 387, 511, 331, 1119, 307, 6145, 3841, 49987, 67335, 120419, 0};
static int joe_kuo_d6_initial_number19834[] = {1, 3, 1, 5, 13, 21, 119, 207, 453, 943, 137, 2245, 7771, 5737, 9541, 29209, 106867, 110513, 0};
static int joe_kuo_d6_initial_number19835[] = {1, 3, 7, 13, 7, 3, 99, 129, 245, 687, 883, 1321, 1131, 6661, 7437, 1345, 128247, 167877, 0};
static int joe_kuo_d6_initial_number19836[] = {1, 1, 3, 11, 7, 57, 59, 3, 217, 549, 85, 2607, 215, 2249, 3963, 42931, 33747, 226265, 0};
static int joe_kuo_d6_initial_number19837[] = {1, 1, 5, 5, 29, 23, 115, 215, 103, 427, 1689, 831, 3293, 14055, 3735, 49521, 17703, 182887, 0};
static int joe_kuo_d6_initial_number19838[] = {1, 1, 1, 15, 5, 43, 27, 181, 217, 955, 225, 2731, 7347, 14123, 26169, 4371, 26907, 15017, 0};
static int joe_kuo_d6_initial_number19839[] = {1, 1, 7, 7, 31, 55, 63, 223, 61, 63, 431, 2779, 3169, 14323, 2945, 63913, 85407, 76511, 0};
static int joe_kuo_d6_initial_number19840[] = {1, 1, 3, 11, 5, 27, 113, 75, 313, 697, 13, 1853, 7467, 5701, 16749, 17939, 13475, 39807, 0};
static int joe_kuo_d6_initial_number19841[] = {1, 1, 7, 5, 13, 53, 55, 115, 125, 341, 321, 3291, 2675, 13659, 16819, 45397, 42917, 104361, 0};
static int joe_kuo_d6_initial_number19842[] = {1, 3, 3, 15, 27, 47, 19, 213, 441, 605, 593, 2287, 4847, 10505, 22185, 36157, 10881, 87799, 0};
static int joe_kuo_d6_initial_number19843[] = {1, 1, 1, 11, 15, 39, 109, 3, 469, 371, 1743, 2789, 199, 8703, 7407, 3353, 103417, 73319, 0};
static int joe_kuo_d6_initial_number19844[] = {1, 3, 7, 5, 25, 61, 77, 111, 263, 399, 1579, 3447, 6205, 5945, 28099, 39183, 77003, 115001, 0};
static int joe_kuo_d6_initial_number19845[] = {1, 1, 1, 3, 1, 7, 57, 193, 379, 923, 151, 2227, 7285, 2371, 24567, 34037, 80655, 125499, 0};
static int joe_kuo_d6_initial_number19846[] = {1, 3, 5, 7, 13, 15, 5, 193, 55, 319, 1851, 2439, 8071, 5329, 3155, 64669, 18547, 238997, 0};
static int joe_kuo_d6_initial_number19847[] = {1, 3, 3, 11, 7, 23, 1, 203, 333, 951, 153, 1249, 5093, 407, 361, 14175, 45149, 186291, 0};
static int joe_kuo_d6_initial_number19848[] = {1, 3, 1, 11, 13, 19, 89, 229, 139, 981, 455, 907, 5109, 8513, 23823, 54933, 69985, 227679, 0};
static int joe_kuo_d6_initial_number19849[] = {1, 3, 5, 13, 23, 47, 65, 123, 115, 759, 375, 1283, 729, 11045, 22015, 18287, 112603, 75911, 0};
static int joe_kuo_d6_initial_number19850[] = {1, 1, 3, 1, 5, 43, 91, 123, 219, 409, 517, 3999, 1409, 5949, 15727, 62705, 73573, 198447, 0};
static int joe_kuo_d6_initial_number19851[] = {1, 3, 3, 3, 5, 23, 95, 51, 275, 455, 1831, 2427, 3779, 10209, 30839, 23393, 25681, 8715, 0};
static int joe_kuo_d6_initial_number19852[] = {1, 3, 5, 3, 9, 5, 61, 97, 497, 397, 695, 517, 3313, 4911, 1961, 45805, 99135, 216657, 0};
static int joe_kuo_d6_initial_number19853[] = {1, 1, 1, 7, 13, 41, 19, 31, 103, 1005, 73, 1855, 405, 12395, 19979, 17663, 105183, 28493, 0};
static int joe_kuo_d6_initial_number19854[] = {1, 3, 1, 11, 27, 27, 69, 149, 1, 225, 1809, 1367, 3663, 6545, 8475, 40837, 64459, 66705, 0};
static int joe_kuo_d6_initial_number19855[] = {1, 3, 3, 1, 29, 21, 113, 149, 215, 443, 1069, 3437, 1793, 13573, 28285, 33707, 29127, 40715, 0};
static int joe_kuo_d6_initial_number19856[] = {1, 3, 3, 5, 21, 9, 53, 181, 455, 283, 245, 3999, 875, 9799, 10963, 31603, 34907, 64977, 0};
static int joe_kuo_d6_initial_number19857[] = {1, 3, 1, 11, 31, 51, 29, 103, 61, 529, 777, 1097, 445, 9169, 6305, 4513, 60189, 164103, 0};
static int joe_kuo_d6_initial_number19858[] = {1, 1, 1, 3, 21, 5, 87, 11, 461, 637, 1283, 1471, 1429, 2401, 12163, 29401, 30089, 41745, 0};
static int joe_kuo_d6_initial_number19859[] = {1, 1, 3, 3, 17, 43, 13, 153, 73, 419, 747, 279, 7195, 4383, 26345, 28365, 97753, 208989, 0};
static int joe_kuo_d6_initial_number19860[] = {1, 3, 7, 1, 17, 55, 103, 151, 327, 575, 1923, 1533, 4699, 2171, 15447, 64047, 59007, 54523, 0};
static int joe_kuo_d6_initial_number19861[] = {1, 3, 7, 7, 3, 51, 79, 39, 403, 599, 161, 2465, 4911, 10327, 23599, 3267, 44177, 184231, 0};
static int joe_kuo_d6_initial_number19862[] = {1, 3, 3, 15, 5, 19, 57, 83, 507, 927, 665, 3471, 5037, 2051, 22923, 36813, 97393, 102715, 0};
static int joe_kuo_d6_initial_number19863[] = {1, 3, 3, 13, 11, 19, 91, 179, 113, 295, 855, 2071, 3265, 4089, 8627, 7461, 23855, 53675, 0};
static int joe_kuo_d6_initial_number19864[] = {1, 1, 3, 5, 21, 41, 11, 227, 87, 417, 209, 2013, 4849, 5291, 22073, 40235, 71283, 140785, 0};
static int joe_kuo_d6_initial_number19865[] = {1, 3, 3, 5, 29, 57, 95, 65, 177, 177, 1973, 563, 5249, 337, 7611, 45099, 15443, 46583, 0};
static int joe_kuo_d6_initial_number19866[] = {1, 1, 7, 3, 3, 5, 107, 75, 31, 293, 821, 1837, 2363, 13621, 8793, 29841, 127201, 131707, 0};
static int joe_kuo_d6_initial_number19867[] = {1, 1, 1, 5, 1, 45, 69, 61, 157, 999, 183, 3431, 3487, 9461, 17545, 26973, 115527, 58419, 0};
static int joe_kuo_d6_initial_number19868[] = {1, 1, 7, 7, 27, 5, 125, 153, 191, 745, 125, 2807, 5043, 10657, 24487, 19517, 31735, 42421, 0};
static int joe_kuo_d6_initial_number19869[] = {1, 1, 7, 9, 25, 37, 73, 255, 141, 229, 1723, 1331, 6089, 13109, 30683, 2335, 111517, 105411, 0};
static int joe_kuo_d6_initial_number19870[] = {1, 1, 5, 7, 3, 61, 79, 203, 423, 669, 1757, 1725, 4239, 7013, 28591, 61853, 81103, 39813, 0};
static int joe_kuo_d6_initial_number19871[] = {1, 1, 3, 7, 21, 27, 23, 119, 441, 113, 1019, 285, 53, 8643, 31689, 2629, 126573, 60835, 0};
static int joe_kuo_d6_initial_number19872[] = {1, 1, 5, 11, 29, 49, 23, 55, 441, 809, 1177, 1371, 5945, 6461, 11537, 12287, 85637, 232065, 0};
static int joe_kuo_d6_initial_number19873[] = {1, 3, 1, 15, 5, 13, 19, 209, 105, 897, 565, 3209, 487, 9837, 22169, 26317, 39907, 185193, 0};
static int joe_kuo_d6_initial_number19874[] = {1, 1, 1, 5, 23, 45, 49, 55, 501, 213, 1217, 3159, 733, 5889, 5475, 4953, 37317, 100369, 0};
static int joe_kuo_d6_initial_number19875[] = {1, 1, 5, 1, 19, 5, 57, 137, 361, 605, 1077, 2015, 5511, 4667, 18457, 45979, 120253, 203397, 0};
static int joe_kuo_d6_initial_number19876[] = {1, 1, 7, 9, 19, 19, 11, 187, 5, 647, 275, 1265, 7587, 16183, 369, 31885, 58347, 36829, 0};
static int joe_kuo_d6_initial_number19877[] = {1, 3, 5, 3, 31, 31, 7, 105, 359, 839, 641, 3215, 4807, 13397, 885, 52867, 57125, 180607, 0};
static int joe_kuo_d6_initial_number19878[] = {1, 1, 7, 9, 19, 45, 43, 211, 429, 757, 1637, 1569, 935, 8899, 24823, 18599, 111373, 190979, 0};
static int joe_kuo_d6_initial_number19879[] = {1, 1, 7, 7, 13, 47, 3, 241, 467, 209, 323, 3467, 4397, 15395, 15373, 14499, 92443, 65931, 0};
static int joe_kuo_d6_initial_number19880[] = {1, 3, 3, 5, 5, 9, 67, 115, 45, 279, 1753, 1575, 8127, 9651, 5169, 25643, 29671, 214383, 0};
static int joe_kuo_d6_initial_number19881[] = {1, 3, 7, 7, 29, 7, 37, 205, 495, 445, 1771, 1439, 3577, 10423, 10865, 26851, 15251, 63373, 0};
static int joe_kuo_d6_initial_number19882[] = {1, 3, 1, 9, 29, 13, 45, 61, 153, 193, 1407, 1075, 4023, 2367, 1147, 51277, 52975, 123061, 0};
static int joe_kuo_d6_initial_number19883[] = {1, 3, 3, 3, 31, 25, 113, 173, 345, 565, 145, 3437, 7051, 12557, 27919, 41733, 76717, 192645, 0};
static int joe_kuo_d6_initial_number19884[] = {1, 3, 3, 7, 3, 55, 35, 219, 55, 467, 635, 3833, 3753, 1099, 15301, 53121, 120807, 70481, 0};
static int joe_kuo_d6_initial_number19885[] = {1, 3, 7, 7, 13, 1, 121, 191, 71, 193, 1891, 2303, 1401, 9143, 31297, 38979, 43093, 138941, 0};
static int joe_kuo_d6_initial_number19886[] = {1, 3, 7, 5, 17, 51, 83, 201, 231, 423, 511, 1301, 6075, 475, 2603, 49327, 78565, 220827, 0};
static int joe_kuo_d6_initial_number19887[] = {1, 3, 1, 7, 5, 61, 23, 11, 9, 711, 251, 1383, 613, 6213, 8921, 27267, 66009, 28575, 0};
static int joe_kuo_d6_initial_number19888[] = {1, 3, 1, 3, 13, 13, 61, 211, 353, 883, 343, 1089, 2041, 7781, 25285, 9053, 76801, 153009, 0};
static int joe_kuo_d6_initial_number19889[] = {1, 3, 7, 5, 17, 61, 67, 69, 361, 937, 949, 1483, 2825, 3753, 16533, 17277, 16539, 140521, 0};
static int joe_kuo_d6_initial_number19890[] = {1, 3, 5, 9, 7, 19, 31, 239, 357, 561, 1583, 3059, 2023, 2213, 11283, 18603, 83487, 162415, 0};
static int joe_kuo_d6_initial_number19891[] = {1, 1, 3, 15, 15, 59, 9, 43, 353, 203, 765, 1907, 2733, 3747, 30617, 32671, 119005, 72131, 0};
static int joe_kuo_d6_initial_number19892[] = {1, 3, 1, 7, 17, 61, 55, 113, 439, 75, 703, 2741, 1059, 4561, 15923, 17153, 32563, 79681, 0};
static int joe_kuo_d6_initial_number19893[] = {1, 1, 1, 15, 11, 57, 91, 245, 187, 185, 1859, 1209, 3247, 10863, 22421, 47287, 26831, 200935, 0};
static int joe_kuo_d6_initial_number19894[] = {1, 1, 3, 13, 11, 39, 61, 211, 51, 197, 861, 2965, 4691, 9955, 2289, 28795, 61537, 235359, 0};
static int joe_kuo_d6_initial_number19895[] = {1, 1, 7, 1, 31, 37, 121, 107, 79, 521, 371, 983, 6189, 4515, 25691, 26933, 123189, 70033, 0};
static int joe_kuo_d6_initial_number19896[] = {1, 3, 3, 15, 19, 33, 31, 237, 35, 877, 1013, 3445, 573, 1145, 27781, 26327, 117451, 142339, 0};
static int joe_kuo_d6_initial_number19897[] = {1, 3, 3, 15, 15, 9, 17, 185, 151, 499, 493, 1331, 1587, 12657, 22577, 7957, 126253, 57971, 0};
static int joe_kuo_d6_initial_number19898[] = {1, 3, 7, 15, 3, 29, 43, 105, 423, 601, 793, 1011, 6657, 7287, 18561, 46993, 72945, 233051, 0};
static int joe_kuo_d6_initial_number19899[] = {1, 1, 7, 5, 15, 17, 125, 141, 75, 877, 281, 2011, 4217, 9785, 7587, 42863, 35585, 212795, 0};
static int joe_kuo_d6_initial_number19900[] = {1, 1, 3, 3, 3, 37, 67, 129, 433, 233, 115, 687, 6253, 12805, 10935, 49963, 91675, 241951, 0};
static int joe_kuo_d6_initial_number19901[] = {1, 3, 1, 5, 3, 41, 3, 233, 317, 959, 1407, 1251, 743, 4165, 15561, 41165, 22393, 111633, 0};
static int joe_kuo_d6_initial_number19902[] = {1, 3, 3, 15, 17, 15, 53, 245, 109, 413, 1149, 35, 2931, 11635, 27091, 63659, 33973, 16867, 0};
static int joe_kuo_d6_initial_number19903[] = {1, 3, 7, 13, 3, 43, 83, 201, 367, 275, 235, 1795, 4041, 13539, 22345, 31451, 83985, 3527, 0};
static int joe_kuo_d6_initial_number19904[] = {1, 3, 3, 9, 31, 47, 63, 117, 195, 497, 453, 1183, 3857, 14075, 28057, 13205, 54331, 54641, 0};
static int joe_kuo_d6_initial_number19905[] = {1, 1, 7, 11, 11, 39, 37, 183, 213, 537, 1371, 901, 5255, 11791, 18993, 58785, 114113, 229815, 0};
static int joe_kuo_d6_initial_number19906[] = {1, 3, 5, 5, 13, 45, 77, 165, 329, 439, 2011, 1845, 4577, 12457, 16959, 45943, 37715, 169775, 0};
static int joe_kuo_d6_initial_number19907[] = {1, 1, 3, 11, 5, 7, 21, 245, 365, 371, 1291, 2569, 1791, 6003, 18619, 18661, 98551, 89645, 0};
static int joe_kuo_d6_initial_number19908[] = {1, 3, 1, 7, 3, 51, 49, 245, 151, 919, 489, 3967, 3157, 7159, 17207, 19749, 94455, 112403, 0};
static int joe_kuo_d6_initial_number19909[] = {1, 3, 7, 5, 9, 15, 17, 201, 273, 669, 1571, 3915, 1859, 2569, 28855, 27225, 116711, 148377, 0};
static int joe_kuo_d6_initial_number19910[] = {1, 3, 7, 3, 19, 45, 115, 71, 201, 85, 1349, 3897, 4941, 10839, 14781, 36487, 107037, 109185, 0};
static int joe_kuo_d6_initial_number19911[] = {1, 3, 5, 13, 11, 11, 35, 19, 213, 41, 45, 4075, 3163, 12937, 17487, 28911, 21289, 198489, 0};
static int joe_kuo_d6_initial_number19912[] = {1, 1, 1, 11, 7, 35, 67, 23, 451, 235, 717, 181, 6697, 9359, 24561, 36187, 125179, 35119, 0};
static int joe_kuo_d6_initial_number19913[] = {1, 1, 7, 15, 7, 47, 55, 125, 465, 251, 211, 3137, 4101, 1341, 2287, 22149, 45089, 94173, 0};
static int joe_kuo_d6_initial_number19914[] = {1, 3, 1, 15, 19, 7, 15, 207, 7, 759, 869, 2337, 6805, 8287, 13447, 9963, 7177, 173505, 0};
static int joe_kuo_d6_initial_number19915[] = {1, 3, 7, 13, 15, 3, 65, 143, 291, 511, 939, 669, 4095, 1931, 26015, 18253, 102461, 93837, 0};
static int joe_kuo_d6_initial_number19916[] = {1, 3, 1, 5, 23, 3, 19, 121, 489, 583, 1425, 627, 4229, 5343, 3759, 17845, 105369, 132239, 0};
static int joe_kuo_d6_initial_number19917[] = {1, 3, 3, 9, 29, 9, 17, 153, 111, 879, 1225, 979, 2687, 10477, 10105, 18091, 37825, 28077, 0};
static int joe_kuo_d6_initial_number19918[] = {1, 1, 7, 9, 3, 51, 75, 101, 197, 551, 89, 1441, 607, 14025, 30411, 26887, 3435, 32977, 0};
static int joe_kuo_d6_initial_number19919[] = {1, 1, 7, 3, 25, 29, 95, 123, 197, 767, 1513, 721, 4149, 10873, 32247, 4469, 42297, 49651, 0};
static int joe_kuo_d6_initial_number19920[] = {1, 3, 5, 15, 11, 3, 77, 161, 309, 923, 513, 161, 6447, 9811, 9209, 21413, 8611, 237557, 0};
static int joe_kuo_d6_initial_number19921[] = {1, 3, 1, 3, 23, 11, 61, 107, 317, 771, 1469, 3367, 6607, 11495, 12271, 59989, 52483, 194761, 0};
static int joe_kuo_d6_initial_number19922[] = {1, 3, 7, 7, 23, 1, 37, 47, 185, 863, 1153, 3517, 6165, 3921, 19311, 37339, 112477, 204915, 0};
static int joe_kuo_d6_initial_number19923[] = {1, 3, 7, 7, 15, 61, 9, 113, 175, 305, 1759, 2933, 2139, 3591, 15303, 54479, 126511, 255205, 0};
static int joe_kuo_d6_initial_number19924[] = {1, 1, 1, 3, 29, 43, 19, 183, 121, 577, 1329, 1737, 4373, 5577, 24023, 40103, 22333, 123423, 0};
static int joe_kuo_d6_initial_number19925[] = {1, 3, 5, 1, 29, 1, 5, 177, 271, 431, 139, 705, 4319, 9301, 15887, 13253, 13275, 233317, 0};
static int joe_kuo_d6_initial_number19926[] = {1, 1, 3, 7, 21, 3, 13, 51, 459, 359, 1721, 193, 4887, 7805, 20615, 28813, 82427, 57853, 0};
static int joe_kuo_d6_initial_number19927[] = {1, 3, 3, 13, 3, 29, 43, 95, 339, 993, 979, 2323, 7505, 10203, 9475, 16513, 21651, 104871, 0};
static int joe_kuo_d6_initial_number19928[] = {1, 1, 3, 15, 11, 5, 97, 127, 397, 25, 507, 1839, 2313, 13399, 899, 25713, 94363, 178287, 0};
static int joe_kuo_d6_initial_number19929[] = {1, 1, 5, 5, 9, 53, 95, 171, 107, 129, 1041, 3583, 5479, 943, 21435, 36481, 85519, 169651, 0};
static int joe_kuo_d6_initial_number19930[] = {1, 1, 1, 1, 1, 11, 17, 249, 277, 805, 1827, 2705, 3015, 9033, 25019, 38593, 59235, 21145, 0};
static int joe_kuo_d6_initial_number19931[] = {1, 1, 7, 3, 7, 59, 107, 213, 109, 213, 555, 3463, 953, 3173, 18947, 2863, 27889, 32493, 0};
static int joe_kuo_d6_initial_number19932[] = {1, 3, 5, 15, 21, 11, 99, 131, 287, 513, 1393, 3327, 7347, 4343, 8805, 29571, 97151, 97313, 0};
static int joe_kuo_d6_initial_number19933[] = {1, 3, 5, 3, 17, 53, 23, 21, 227, 291, 111, 1951, 6593, 16325, 31725, 31997, 116907, 181027, 0};
static int joe_kuo_d6_initial_number19934[] = {1, 1, 5, 3, 15, 57, 93, 153, 345, 257, 169, 795, 3907, 5669, 25447, 28775, 1489, 216417, 0};
static int joe_kuo_d6_initial_number19935[] = {1, 1, 1, 5, 19, 19, 113, 55, 431, 685, 1839, 711, 4909, 10211, 25765, 37, 72657, 79769, 0};
static int joe_kuo_d6_initial_number19936[] = {1, 3, 5, 7, 19, 17, 93, 145, 99, 799, 1615, 1583, 7705, 1069, 30259, 37951, 78965, 16203, 0};
static int joe_kuo_d6_initial_number19937[] = {1, 3, 7, 13, 23, 61, 119, 49, 413, 1021, 415, 465, 7395, 31, 16415, 1009, 9843, 86531, 0};
static int joe_kuo_d6_initial_number19938[] = {1, 1, 3, 15, 17, 21, 83, 69, 411, 1, 269, 1391, 295, 13649, 21649, 62453, 11457, 215375, 0};
static int joe_kuo_d6_initial_number19939[] = {1, 3, 3, 7, 25, 53, 95, 99, 447, 323, 27, 1595, 3771, 16099, 31523, 14405, 66999, 65733, 0};
static int joe_kuo_d6_initial_number19940[] = {1, 1, 3, 11, 25, 29, 19, 95, 101, 661, 537, 641, 1455, 16151, 29087, 54009, 89395, 2223, 0};
static int joe_kuo_d6_initial_number19941[] = {1, 1, 1, 11, 11, 33, 91, 227, 449, 661, 1621, 1743, 2859, 9797, 32397, 41767, 116325, 6839, 0};
static int joe_kuo_d6_initial_number19942[] = {1, 3, 3, 7, 31, 41, 15, 139, 53, 789, 25, 67, 1131, 5987, 14091, 37259, 70313, 6633, 0};
static int joe_kuo_d6_initial_number19943[] = {1, 3, 7, 13, 21, 29, 71, 245, 497, 493, 207, 3221, 3695, 3045, 1497, 29235, 65113, 82015, 0};
static int joe_kuo_d6_initial_number19944[] = {1, 1, 7, 5, 29, 29, 87, 197, 123, 323, 773, 157, 2925, 9235, 31625, 58187, 121457, 25561, 0};
static int joe_kuo_d6_initial_number19945[] = {1, 1, 1, 9, 3, 15, 99, 55, 133, 757, 1405, 997, 5201, 8971, 6095, 33309, 35587, 254545, 0};
static int joe_kuo_d6_initial_number19946[] = {1, 3, 5, 9, 19, 57, 85, 45, 429, 823, 1369, 933, 1971, 13753, 11351, 45805, 16527, 129907, 0};
static int joe_kuo_d6_initial_number19947[] = {1, 3, 3, 15, 23, 15, 35, 89, 477, 875, 1087, 2837, 1093, 617, 18687, 53269, 63447, 226393, 0};
static int joe_kuo_d6_initial_number19948[] = {1, 1, 7, 9, 27, 37, 23, 107, 265, 485, 1975, 3159, 4065, 10089, 26975, 45067, 4241, 49051, 0};
static int joe_kuo_d6_initial_number19949[] = {1, 3, 3, 1, 29, 53, 89, 129, 149, 717, 749, 1481, 7829, 15887, 23185, 30667, 11749, 188963, 0};
static int joe_kuo_d6_initial_number19950[] = {1, 3, 5, 9, 13, 47, 119, 135, 407, 99, 1773, 2307, 7885, 4013, 25723, 53519, 37487, 205671, 0};
static int joe_kuo_d6_initial_number19951[] = {1, 1, 5, 1, 11, 27, 121, 213, 147, 669, 799, 485, 4275, 15909, 30583, 45925, 90365, 226901, 0};
static int joe_kuo_d6_initial_number19952[] = {1, 1, 3, 5, 1, 19, 81, 109, 217, 949, 1637, 3413, 5957, 7293, 17337, 63857, 103815, 80805, 0};
static int joe_kuo_d6_initial_number19953[] = {1, 3, 7, 3, 9, 43, 119, 251, 345, 3, 203, 829, 3391, 2575, 6859, 50849, 22221, 227581, 0};
static int joe_kuo_d6_initial_number19954[] = {1, 1, 7, 15, 13, 43, 7, 23, 101, 89, 1747, 1231, 1883, 13363, 10981, 59179, 59555, 242021, 0};
static int joe_kuo_d6_initial_number19955[] = {1, 1, 5, 5, 23, 15, 93, 183, 231, 891, 1745, 2665, 1689, 8515, 11717, 35643, 113067, 233757, 0};
static int joe_kuo_d6_initial_number19956[] = {1, 3, 7, 11, 29, 21, 13, 59, 103, 105, 483, 863, 2711, 7917, 29279, 53931, 7011, 60075, 0};
static int joe_kuo_d6_initial_number19957[] = {1, 1, 3, 15, 5, 37, 101, 163, 31, 575, 2029, 1625, 4545, 12579, 15175, 32667, 59497, 63653, 0};
static int joe_kuo_d6_initial_number19958[] = {1, 3, 5, 7, 23, 37, 61, 101, 273, 49, 1943, 3381, 491, 4079, 20341, 26463, 122261, 77965, 0};
static int joe_kuo_d6_initial_number19959[] = {1, 1, 3, 15, 9, 51, 53, 89, 175, 487, 1583, 1797, 4353, 1339, 19613, 26913, 78955, 166523, 0};
static int joe_kuo_d6_initial_number19960[] = {1, 3, 3, 9, 27, 57, 25, 207, 233, 675, 661, 2629, 6971, 8723, 31199, 47215, 36931, 28347, 0};
static int joe_kuo_d6_initial_number19961[] = {1, 3, 1, 3, 31, 15, 123, 17, 211, 883, 1861, 2747, 8075, 5373, 23521, 46217, 86629, 171777, 0};
static int joe_kuo_d6_initial_number19962[] = {1, 3, 5, 9, 11, 43, 45, 171, 465, 835, 603, 2121, 409, 1643, 20327, 63211, 129479, 223113, 0};
static int joe_kuo_d6_initial_number19963[] = {1, 1, 5, 7, 13, 57, 83, 233, 307, 489, 941, 1723, 6149, 5557, 2053, 17377, 31597, 176051, 0};
static int joe_kuo_d6_initial_number19964[] = {1, 1, 7, 3, 11, 11, 85, 163, 169, 989, 1289, 2749, 7681, 4679, 645, 36589, 85907, 194713, 0};
static int joe_kuo_d6_initial_number19965[] = {1, 1, 1, 7, 3, 57, 39, 149, 463, 947, 481, 1163, 7171, 8539, 28991, 61235, 74487, 107051, 0};
static int joe_kuo_d6_initial_number19966[] = {1, 1, 3, 7, 9, 57, 89, 101, 231, 163, 1355, 1393, 5823, 7565, 26285, 13523, 130329, 26099, 0};
static int joe_kuo_d6_initial_number19967[] = {1, 1, 7, 15, 13, 59, 111, 35, 265, 927, 125, 1881, 5397, 757, 23845, 9677, 76077, 163361, 0};
static int joe_kuo_d6_initial_number19968[] = {1, 1, 7, 9, 1, 63, 61, 157, 389, 143, 1445, 881, 3609, 9955, 11159, 59677, 45831, 138345, 0};
static int joe_kuo_d6_initial_number19969[] = {1, 3, 5, 7, 5, 45, 65, 23, 257, 589, 905, 3651, 743, 117, 30307, 7415, 103331, 252889, 0};
static int joe_kuo_d6_initial_number19970[] = {1, 1, 7, 13, 3, 57, 113, 91, 217, 967, 481, 989, 4795, 3549, 23717, 60793, 80281, 19977, 0};
static int joe_kuo_d6_initial_number19971[] = {1, 3, 3, 1, 15, 37, 113, 245, 239, 575, 197, 2803, 7743, 13447, 3601, 56981, 76381, 13321, 0};
static int joe_kuo_d6_initial_number19972[] = {1, 3, 1, 11, 27, 33, 99, 151, 43, 835, 1951, 1957, 2983, 6781, 9319, 2119, 40533, 118325, 0};
static int joe_kuo_d6_initial_number19973[] = {1, 3, 3, 7, 27, 19, 23, 243, 347, 477, 1661, 1891, 2439, 2485, 31743, 1427, 20317, 90803, 0};
static int joe_kuo_d6_initial_number19974[] = {1, 3, 1, 1, 3, 59, 71, 129, 21, 3, 449, 629, 3657, 4045, 8305, 40461, 60927, 38529, 0};
static int joe_kuo_d6_initial_number19975[] = {1, 3, 3, 7, 9, 11, 85, 185, 369, 451, 887, 3709, 6931, 111, 1379, 8741, 58777, 188045, 0};
static int joe_kuo_d6_initial_number19976[] = {1, 3, 7, 11, 23, 13, 77, 141, 99, 543, 725, 2439, 6825, 1361, 2785, 5345, 5941, 234751, 0};
static int joe_kuo_d6_initial_number19977[] = {1, 1, 5, 5, 17, 55, 69, 9, 431, 585, 1049, 165, 1705, 14907, 8655, 12485, 22783, 91195, 0};
static int joe_kuo_d6_initial_number19978[] = {1, 1, 7, 11, 29, 41, 91, 137, 17, 785, 1151, 2033, 7031, 15077, 2241, 21453, 117947, 128891, 0};
static int joe_kuo_d6_initial_number19979[] = {1, 1, 1, 11, 17, 53, 113, 195, 409, 275, 1757, 245, 6263, 14785, 29159, 43827, 65027, 248403, 0};
static int joe_kuo_d6_initial_number19980[] = {1, 3, 3, 3, 5, 15, 23, 41, 261, 891, 1021, 1999, 4883, 9233, 10385, 21953, 50711, 4247, 0};
static int joe_kuo_d6_initial_number19981[] = {1, 1, 1, 13, 23, 47, 33, 77, 317, 251, 617, 2265, 7549, 327, 2317, 41209, 41063, 120863, 0};
static int joe_kuo_d6_initial_number19982[] = {1, 1, 7, 11, 15, 17, 25, 105, 253, 713, 1147, 415, 5777, 2215, 4207, 33857, 17001, 260533, 0};
static int joe_kuo_d6_initial_number19983[] = {1, 1, 1, 11, 31, 45, 3, 25, 329, 45, 1563, 121, 1413, 16229, 32485, 54477, 101025, 64847, 0};
static int joe_kuo_d6_initial_number19984[] = {1, 3, 5, 1, 15, 59, 113, 203, 481, 545, 371, 1357, 5549, 3043, 397, 61483, 59779, 58159, 0};
static int joe_kuo_d6_initial_number19985[] = {1, 3, 3, 3, 25, 39, 29, 193, 379, 293, 1173, 3389, 4231, 11519, 6681, 28813, 63609, 13029, 0};
static int joe_kuo_d6_initial_number19986[] = {1, 3, 1, 1, 27, 57, 37, 249, 441, 905, 463, 3543, 7203, 10075, 5373, 46103, 6685, 146943, 0};
static int joe_kuo_d6_initial_number19987[] = {1, 3, 5, 7, 31, 51, 21, 139, 209, 219, 1663, 837, 3351, 6291, 735, 8715, 33751, 199485, 0};
static int joe_kuo_d6_initial_number19988[] = {1, 3, 5, 11, 19, 57, 41, 163, 287, 327, 243, 2891, 1095, 3959, 5067, 2867, 16207, 213089, 0};
static int joe_kuo_d6_initial_number19989[] = {1, 1, 5, 11, 21, 59, 97, 239, 309, 371, 797, 453, 2595, 4277, 3771, 5665, 10075, 56101, 0};
static int joe_kuo_d6_initial_number19990[] = {1, 1, 3, 15, 17, 29, 103, 33, 449, 525, 961, 3551, 3611, 14057, 15971, 26981, 35169, 130213, 0};
static int joe_kuo_d6_initial_number19991[] = {1, 1, 3, 1, 5, 13, 39, 211, 387, 797, 1051, 3287, 3737, 12953, 3387, 35107, 78809, 162907, 0};
static int joe_kuo_d6_initial_number19992[] = {1, 1, 7, 9, 7, 63, 127, 115, 173, 981, 623, 737, 7625, 12245, 4195, 61873, 104301, 250333, 0};
static int joe_kuo_d6_initial_number19993[] = {1, 1, 1, 5, 19, 5, 123, 43, 209, 741, 747, 1057, 2683, 15359, 24121, 38413, 5823, 62213, 0};
static int joe_kuo_d6_initial_number19994[] = {1, 1, 7, 1, 23, 13, 63, 165, 309, 323, 247, 3827, 5451, 4823, 23925, 56957, 69765, 259923, 0};
static int joe_kuo_d6_initial_number19995[] = {1, 1, 5, 1, 5, 49, 51, 65, 31, 257, 1363, 3031, 5765, 3645, 16383, 6347, 30429, 130557, 0};
static int joe_kuo_d6_initial_number19996[] = {1, 3, 5, 13, 9, 63, 31, 3, 317, 379, 1345, 2161, 7787, 2055, 21507, 20347, 97021, 183377, 0};
static int joe_kuo_d6_initial_number19997[] = {1, 3, 5, 11, 15, 59, 13, 139, 415, 821, 639, 1249, 6349, 15861, 21377, 22813, 42839, 76595, 0};
static int joe_kuo_d6_initial_number19998[] = {1, 1, 7, 9, 23, 11, 25, 115, 393, 153, 1269, 871, 1323, 1891, 11619, 3103, 79813, 39811, 0};
static int joe_kuo_d6_initial_number19999[] = {1, 3, 1, 15, 27, 37, 63, 253, 1, 855, 1651, 3111, 6693, 1825, 22549, 64189, 18347, 253425, 0};
static int joe_kuo_d6_initial_number20000[] = {1, 3, 1, 11, 23, 27, 119, 59, 421, 343, 831, 2679, 5899, 12087, 15953, 18601, 109551, 33895, 0};
static int joe_kuo_d6_initial_number20001[] = {1, 3, 1, 13, 29, 3, 91, 227, 301, 491, 1045, 2105, 5189, 13717, 1095, 6039, 16229, 215687, 0};
static int joe_kuo_d6_initial_number20002[] = {1, 1, 7, 3, 11, 53, 85, 25, 23, 293, 841, 3569, 5335, 8949, 28665, 15139, 100807, 155587, 0};
static int joe_kuo_d6_initial_number20003[] = {1, 1, 1, 9, 31, 1, 77, 149, 181, 5, 915, 1155, 4717, 2837, 17545, 3235, 26811, 124901, 0};
static int joe_kuo_d6_initial_number20004[] = {1, 1, 3, 5, 25, 27, 47, 215, 425, 195, 1575, 3961, 3521, 4197, 9565, 32523, 125091, 165543, 0};
static int joe_kuo_d6_initial_number20005[] = {1, 3, 7, 3, 17, 57, 7, 137, 507, 303, 1123, 1511, 2465, 4277, 19959, 31951, 83157, 62843, 0};
static int joe_kuo_d6_initial_number20006[] = {1, 3, 3, 1, 27, 43, 79, 191, 265, 167, 665, 4017, 6613, 1175, 5427, 47139, 91517, 32071, 0};
static int joe_kuo_d6_initial_number20007[] = {1, 1, 1, 11, 29, 63, 9, 39, 303, 1021, 415, 2157, 5227, 13557, 4931, 12541, 74101, 13189, 0};
static int joe_kuo_d6_initial_number20008[] = {1, 1, 3, 9, 15, 41, 45, 163, 301, 315, 1433, 1449, 3589, 15783, 16069, 16155, 10527, 69335, 0};
static int joe_kuo_d6_initial_number20009[] = {1, 3, 1, 1, 1, 5, 75, 169, 215, 115, 939, 1285, 43, 1941, 27847, 5245, 51211, 244817, 0};
static int joe_kuo_d6_initial_number20010[] = {1, 1, 1, 15, 7, 33, 31, 23, 397, 537, 1415, 329, 6705, 15015, 18883, 62895, 21435, 233075, 0};
static int joe_kuo_d6_initial_number20011[] = {1, 3, 3, 5, 11, 49, 73, 147, 183, 317, 11, 1997, 1045, 6015, 29159, 55195, 105711, 134727, 0};
static int joe_kuo_d6_initial_number20012[] = {1, 3, 3, 9, 21, 41, 5, 213, 421, 539, 1269, 1929, 3701, 2165, 14997, 21933, 58167, 239719, 0};
static int joe_kuo_d6_initial_number20013[] = {1, 3, 1, 5, 23, 63, 37, 27, 21, 547, 1499, 1621, 141, 5309, 32257, 47241, 123617, 243853, 0};
static int joe_kuo_d6_initial_number20014[] = {1, 1, 1, 13, 31, 45, 47, 91, 165, 1007, 1295, 4035, 1461, 10423, 7747, 7329, 114599, 169375, 0};
static int joe_kuo_d6_initial_number20015[] = {1, 1, 5, 3, 21, 9, 75, 61, 35, 745, 31, 4085, 3645, 16239, 14979, 15725, 108859, 56745, 0};
static int joe_kuo_d6_initial_number20016[] = {1, 1, 5, 15, 11, 31, 13, 229, 417, 147, 1993, 4043, 7757, 13507, 15297, 56119, 2223, 142275, 0};
static int joe_kuo_d6_initial_number20017[] = {1, 3, 5, 13, 3, 57, 45, 109, 135, 829, 159, 769, 865, 2583, 15755, 44343, 84561, 98621, 0};
static int joe_kuo_d6_initial_number20018[] = {1, 1, 7, 11, 17, 11, 115, 45, 371, 411, 863, 2139, 3897, 13981, 16771, 4587, 25195, 66077, 0};
static int joe_kuo_d6_initial_number20019[] = {1, 3, 7, 15, 17, 47, 51, 133, 133, 475, 1363, 3325, 4287, 4837, 22077, 60225, 3097, 246805, 0};
static int joe_kuo_d6_initial_number20020[] = {1, 3, 5, 9, 29, 51, 127, 125, 353, 519, 129, 1409, 1497, 3167, 14163, 24921, 81343, 129835, 0};
static int joe_kuo_d6_initial_number20021[] = {1, 3, 5, 5, 19, 39, 95, 109, 229, 1015, 367, 2373, 709, 6169, 4089, 13533, 22399, 118977, 0};
static int joe_kuo_d6_initial_number20022[] = {1, 1, 5, 5, 17, 21, 91, 131, 309, 739, 1373, 3723, 6659, 1119, 27521, 55589, 34967, 70831, 0};
static int joe_kuo_d6_initial_number20023[] = {1, 3, 1, 11, 5, 7, 85, 215, 425, 947, 589, 375, 5943, 13399, 18307, 27007, 18919, 200617, 0};
static int joe_kuo_d6_initial_number20024[] = {1, 1, 3, 15, 11, 37, 111, 179, 259, 517, 1679, 225, 3493, 15025, 21751, 40687, 73001, 214477, 0};
static int joe_kuo_d6_initial_number20025[] = {1, 1, 7, 15, 17, 41, 109, 129, 427, 847, 1965, 3269, 5871, 12331, 26899, 49791, 103471, 213789, 0};
static int joe_kuo_d6_initial_number20026[] = {1, 3, 3, 3, 9, 41, 25, 115, 95, 737, 717, 1545, 841, 14923, 7409, 45365, 100139, 77787, 0};
static int joe_kuo_d6_initial_number20027[] = {1, 1, 3, 15, 11, 3, 63, 23, 425, 433, 537, 1599, 2691, 11271, 1695, 40579, 53507, 73033, 0};
static int joe_kuo_d6_initial_number20028[] = {1, 3, 7, 13, 9, 21, 85, 31, 337, 583, 1883, 3877, 7197, 7715, 21525, 53273, 11263, 41907, 0};
static int joe_kuo_d6_initial_number20029[] = {1, 3, 7, 1, 7, 53, 61, 45, 299, 885, 1391, 3109, 6851, 6079, 18857, 44537, 95713, 146125, 0};
static int joe_kuo_d6_initial_number20030[] = {1, 1, 1, 3, 21, 49, 95, 105, 419, 315, 365, 3035, 4169, 5723, 26921, 62809, 27019, 243965, 0};
static int joe_kuo_d6_initial_number20031[] = {1, 1, 3, 5, 11, 39, 71, 89, 249, 11, 1395, 105, 6637, 4577, 22979, 32405, 93163, 58785, 0};
static int joe_kuo_d6_initial_number20032[] = {1, 1, 1, 1, 27, 25, 125, 85, 495, 697, 1793, 301, 7665, 12671, 25359, 38803, 58723, 189837, 0};
static int joe_kuo_d6_initial_number20033[] = {1, 3, 5, 11, 17, 11, 61, 211, 19, 901, 1701, 223, 2195, 15571, 3529, 34699, 94607, 196519, 0};
static int joe_kuo_d6_initial_number20034[] = {1, 3, 7, 11, 15, 1, 111, 1, 381, 145, 293, 3639, 6931, 13195, 19985, 58491, 53067, 184411, 0};
static int joe_kuo_d6_initial_number20035[] = {1, 3, 1, 15, 31, 39, 39, 101, 17, 431, 1151, 2465, 727, 12709, 5377, 5857, 49707, 76439, 0};
static int joe_kuo_d6_initial_number20036[] = {1, 3, 3, 5, 7, 1, 3, 39, 357, 339, 415, 567, 7245, 13943, 7495, 54133, 119705, 160615, 0};
static int joe_kuo_d6_initial_number20037[] = {1, 3, 5, 15, 9, 17, 13, 253, 337, 673, 1745, 2613, 4635, 14025, 11159, 50001, 40753, 172983, 0};
static int joe_kuo_d6_initial_number20038[] = {1, 3, 7, 11, 3, 15, 19, 107, 393, 1015, 1441, 181, 5721, 9987, 15557, 37263, 90053, 205685, 0};
static int joe_kuo_d6_initial_number20039[] = {1, 1, 5, 1, 9, 3, 69, 123, 245, 111, 283, 1581, 259, 275, 813, 12213, 19639, 7335, 0};
static int joe_kuo_d6_initial_number20040[] = {1, 3, 7, 7, 1, 55, 101, 63, 259, 705, 653, 3821, 2081, 6447, 25471, 15523, 38827, 68055, 0};
static int joe_kuo_d6_initial_number20041[] = {1, 1, 5, 7, 27, 9, 97, 149, 445, 341, 167, 3695, 375, 853, 8143, 36027, 62729, 197357, 0};
static int joe_kuo_d6_initial_number20042[] = {1, 3, 7, 1, 1, 37, 97, 103, 493, 319, 1287, 3787, 4079, 13049, 14305, 6665, 4631, 96225, 0};
static int joe_kuo_d6_initial_number20043[] = {1, 1, 5, 7, 1, 5, 127, 143, 251, 725, 1759, 2381, 181, 15741, 9395, 64441, 44347, 221697, 0};
static int joe_kuo_d6_initial_number20044[] = {1, 3, 1, 3, 25, 47, 29, 167, 397, 827, 1255, 3271, 6307, 13915, 3131, 19123, 88619, 62847, 0};
static int joe_kuo_d6_initial_number20045[] = {1, 3, 5, 1, 29, 11, 59, 203, 245, 553, 617, 1287, 205, 2291, 3613, 39933, 116981, 43595, 0};
static int joe_kuo_d6_initial_number20046[] = {1, 1, 3, 9, 27, 33, 35, 77, 437, 1003, 119, 253, 6643, 113, 10587, 41073, 55371, 233307, 0};
static int joe_kuo_d6_initial_number20047[] = {1, 3, 7, 1, 29, 63, 1, 231, 373, 995, 1063, 1385, 273, 14115, 6899, 62991, 112003, 80527, 0};
static int joe_kuo_d6_initial_number20048[] = {1, 3, 3, 1, 31, 21, 55, 115, 393, 685, 245, 1587, 5617, 267, 19639, 15169, 14073, 173091, 0};
static int joe_kuo_d6_initial_number20049[] = {1, 3, 1, 11, 29, 45, 53, 21, 433, 979, 1067, 2999, 6279, 4739, 30835, 61653, 112893, 75839, 0};
static int joe_kuo_d6_initial_number20050[] = {1, 1, 5, 11, 23, 25, 15, 107, 325, 981, 1057, 1181, 4465, 16291, 1523, 64497, 129437, 45067, 0};
static int joe_kuo_d6_initial_number20051[] = {1, 1, 1, 5, 1, 21, 79, 135, 419, 997, 1967, 747, 2097, 15397, 4415, 15807, 79583, 259561, 0};
static int joe_kuo_d6_initial_number20052[] = {1, 3, 1, 7, 5, 49, 105, 109, 243, 371, 13, 2297, 2845, 12569, 13165, 13551, 75471, 168579, 0};
static int joe_kuo_d6_initial_number20053[] = {1, 1, 1, 1, 9, 33, 7, 233, 43, 773, 1121, 3763, 4047, 15039, 8165, 25407, 82561, 215045, 0};
static int joe_kuo_d6_initial_number20054[] = {1, 3, 7, 1, 17, 41, 105, 129, 333, 687, 1357, 1197, 1271, 3835, 15823, 36777, 94311, 192321, 0};
static int joe_kuo_d6_initial_number20055[] = {1, 1, 5, 15, 13, 31, 93, 249, 81, 167, 1681, 1587, 179, 5755, 27741, 29437, 100407, 63287, 0};
static int joe_kuo_d6_initial_number20056[] = {1, 3, 3, 13, 11, 39, 85, 23, 37, 183, 547, 1255, 1167, 15961, 23281, 59989, 99393, 34983, 0};
static int joe_kuo_d6_initial_number20057[] = {1, 3, 7, 5, 13, 33, 17, 243, 321, 845, 447, 1997, 4639, 11175, 24651, 18281, 82677, 244543, 0};
static int joe_kuo_d6_initial_number20058[] = {1, 3, 5, 13, 3, 63, 75, 35, 493, 207, 1707, 1401, 3687, 11353, 5461, 23433, 71259, 93483, 0};
static int joe_kuo_d6_initial_number20059[] = {1, 1, 3, 1, 19, 61, 81, 133, 115, 957, 669, 647, 347, 8739, 18451, 39641, 118677, 136601, 0};
static int joe_kuo_d6_initial_number20060[] = {1, 1, 7, 13, 3, 13, 119, 187, 111, 181, 1865, 1613, 201, 3633, 17805, 46553, 8899, 100407, 0};
static int joe_kuo_d6_initial_number20061[] = {1, 3, 3, 9, 19, 33, 35, 215, 235, 893, 877, 3099, 7597, 13521, 22473, 65435, 3205, 44897, 0};
static int joe_kuo_d6_initial_number20062[] = {1, 3, 3, 11, 27, 3, 101, 201, 215, 373, 859, 1435, 2637, 6795, 21157, 3333, 27797, 199427, 0};
static int joe_kuo_d6_initial_number20063[] = {1, 1, 7, 13, 31, 33, 85, 205, 273, 565, 2033, 3451, 7581, 16223, 1383, 16297, 1263, 49065, 0};
static int joe_kuo_d6_initial_number20064[] = {1, 1, 1, 13, 11, 29, 65, 71, 395, 179, 1193, 3859, 3075, 10133, 6463, 34617, 20173, 203471, 0};
static int joe_kuo_d6_initial_number20065[] = {1, 1, 7, 3, 7, 29, 11, 115, 465, 695, 1759, 3137, 6337, 977, 43, 62501, 13297, 59319, 0};
static int joe_kuo_d6_initial_number20066[] = {1, 3, 5, 9, 31, 59, 11, 107, 109, 797, 177, 2891, 2535, 4305, 19255, 9591, 84417, 87381, 0};
static int joe_kuo_d6_initial_number20067[] = {1, 3, 3, 3, 1, 9, 45, 219, 73, 573, 1477, 3699, 8145, 835, 7123, 37167, 53411, 45397, 0};
static int joe_kuo_d6_initial_number20068[] = {1, 3, 5, 15, 15, 41, 37, 63, 233, 971, 1497, 1223, 3909, 11721, 9217, 41055, 9779, 199339, 0};
static int joe_kuo_d6_initial_number20069[] = {1, 3, 3, 7, 17, 61, 91, 237, 313, 841, 7, 3283, 4049, 10403, 22157, 4889, 31903, 188043, 0};
static int joe_kuo_d6_initial_number20070[] = {1, 3, 7, 1, 25, 3, 59, 87, 191, 725, 1615, 4057, 3037, 14597, 17371, 42221, 73919, 58009, 0};
static int joe_kuo_d6_initial_number20071[] = {1, 3, 5, 11, 27, 7, 45, 231, 315, 727, 843, 2191, 7909, 53, 23309, 55189, 96193, 174017, 0};
static int joe_kuo_d6_initial_number20072[] = {1, 3, 5, 11, 27, 51, 127, 187, 209, 883, 429, 137, 4585, 15195, 16527, 32571, 30905, 8137, 0};
static int joe_kuo_d6_initial_number20073[] = {1, 1, 1, 11, 15, 55, 13, 161, 183, 671, 659, 3669, 4461, 13691, 17119, 26877, 52041, 110103, 0};
static int joe_kuo_d6_initial_number20074[] = {1, 3, 5, 9, 5, 45, 29, 19, 415, 931, 683, 2987, 3839, 4529, 3091, 54457, 115537, 102671, 0};
static int joe_kuo_d6_initial_number20075[] = {1, 1, 7, 13, 23, 31, 61, 17, 327, 951, 1333, 713, 4309, 1955, 22797, 27007, 106673, 47177, 0};
static int joe_kuo_d6_initial_number20076[] = {1, 3, 3, 9, 31, 49, 19, 115, 413, 257, 1799, 3641, 2075, 15613, 14293, 16123, 45131, 209389, 0};
static int joe_kuo_d6_initial_number20077[] = {1, 1, 7, 15, 1, 15, 27, 63, 463, 825, 1081, 991, 2641, 5999, 8551, 41119, 80251, 189263, 0};
static int joe_kuo_d6_initial_number20078[] = {1, 1, 5, 9, 7, 55, 125, 97, 245, 997, 457, 1087, 1297, 3433, 14887, 24117, 30689, 184809, 0};
static int joe_kuo_d6_initial_number20079[] = {1, 3, 1, 9, 23, 59, 81, 233, 341, 943, 1335, 2819, 2625, 4957, 14925, 7917, 107383, 204493, 0};
static int joe_kuo_d6_initial_number20080[] = {1, 3, 5, 5, 5, 25, 79, 29, 191, 541, 1295, 269, 613, 5201, 28639, 52839, 52865, 75181, 0};
static int joe_kuo_d6_initial_number20081[] = {1, 3, 3, 7, 19, 45, 35, 201, 391, 317, 1323, 2733, 3407, 10273, 32689, 52153, 108751, 242493, 0};
static int joe_kuo_d6_initial_number20082[] = {1, 3, 1, 7, 15, 27, 45, 21, 383, 483, 1857, 3443, 2263, 11471, 3697, 63929, 116399, 229733, 0};
static int joe_kuo_d6_initial_number20083[] = {1, 1, 3, 9, 13, 27, 19, 37, 181, 811, 1833, 177, 7689, 10073, 20229, 31397, 65415, 68461, 0};
static int joe_kuo_d6_initial_number20084[] = {1, 1, 1, 15, 19, 53, 65, 209, 433, 783, 1647, 4075, 3155, 733, 25603, 39033, 43109, 151257, 0};
static int joe_kuo_d6_initial_number20085[] = {1, 3, 3, 5, 9, 37, 61, 75, 497, 825, 1785, 3709, 1731, 889, 19325, 57453, 39095, 190855, 0};
static int joe_kuo_d6_initial_number20086[] = {1, 3, 3, 13, 3, 53, 21, 39, 483, 833, 1191, 2829, 1323, 1877, 17257, 36077, 47997, 25349, 0};
static int joe_kuo_d6_initial_number20087[] = {1, 1, 7, 9, 29, 25, 7, 91, 87, 723, 777, 1865, 7763, 10995, 15953, 36111, 21313, 214417, 0};
static int joe_kuo_d6_initial_number20088[] = {1, 3, 5, 3, 17, 15, 85, 133, 245, 317, 879, 3237, 7049, 6501, 13359, 34063, 124703, 118289, 0};
static int joe_kuo_d6_initial_number20089[] = {1, 1, 1, 7, 11, 25, 111, 143, 369, 593, 237, 2787, 1015, 13059, 23275, 38453, 90809, 25803, 0};
static int joe_kuo_d6_initial_number20090[] = {1, 1, 7, 5, 13, 21, 39, 235, 381, 381, 949, 773, 1123, 9911, 18115, 47657, 47849, 197633, 0};
static int joe_kuo_d6_initial_number20091[] = {1, 1, 3, 13, 15, 57, 47, 203, 483, 341, 137, 1283, 2847, 5051, 22593, 60915, 45123, 258733, 0};
static int joe_kuo_d6_initial_number20092[] = {1, 1, 3, 5, 29, 7, 23, 127, 493, 543, 747, 3547, 4433, 5847, 28999, 18079, 81205, 231557, 0};
static int joe_kuo_d6_initial_number20093[] = {1, 1, 3, 15, 9, 63, 17, 197, 75, 387, 1679, 2631, 1033, 2757, 18365, 11957, 98915, 24223, 0};
static int joe_kuo_d6_initial_number20094[] = {1, 1, 3, 9, 27, 55, 67, 97, 345, 995, 1151, 1747, 4889, 13847, 13237, 9035, 13461, 10377, 0};
static int joe_kuo_d6_initial_number20095[] = {1, 1, 5, 9, 27, 13, 7, 77, 399, 191, 137, 2801, 6379, 15969, 1727, 27503, 97385, 147625, 0};
static int joe_kuo_d6_initial_number20096[] = {1, 3, 1, 7, 5, 9, 103, 163, 489, 615, 1359, 2635, 3115, 13795, 18853, 65225, 26545, 212065, 0};
static int joe_kuo_d6_initial_number20097[] = {1, 3, 7, 3, 13, 25, 125, 133, 359, 423, 751, 4045, 1209, 7521, 6653, 39171, 125083, 229399, 0};
static int joe_kuo_d6_initial_number20098[] = {1, 3, 1, 9, 15, 21, 121, 223, 283, 313, 1807, 3829, 5279, 10609, 20113, 7851, 23731, 245327, 0};
static int joe_kuo_d6_initial_number20099[] = {1, 1, 1, 11, 15, 13, 63, 253, 311, 369, 1549, 2803, 2029, 14967, 14217, 1387, 104669, 63375, 0};
static int joe_kuo_d6_initial_number20100[] = {1, 1, 3, 3, 31, 49, 59, 189, 249, 779, 275, 3761, 3465, 2205, 11543, 16973, 126249, 104769, 0};
static int joe_kuo_d6_initial_number20101[] = {1, 3, 1, 5, 11, 39, 59, 33, 121, 151, 467, 1011, 1379, 13955, 20117, 52537, 51049, 50663, 0};
static int joe_kuo_d6_initial_number20102[] = {1, 1, 1, 7, 5, 41, 121, 29, 357, 33, 849, 2441, 2127, 1337, 21147, 63869, 80215, 31211, 0};
static int joe_kuo_d6_initial_number20103[] = {1, 3, 3, 3, 25, 41, 17, 101, 173, 915, 463, 2391, 1671, 8789, 13357, 42127, 17599, 61087, 0};
static int joe_kuo_d6_initial_number20104[] = {1, 1, 3, 9, 29, 23, 47, 211, 435, 223, 1421, 2463, 4543, 8569, 30209, 46621, 14367, 13263, 0};
static int joe_kuo_d6_initial_number20105[] = {1, 3, 7, 7, 5, 9, 75, 209, 299, 81, 1705, 2335, 6703, 6309, 5859, 57889, 43219, 7667, 0};
static int joe_kuo_d6_initial_number20106[] = {1, 3, 3, 3, 19, 31, 107, 87, 413, 111, 215, 2711, 7053, 5223, 25241, 26675, 16067, 122719, 0};
static int joe_kuo_d6_initial_number20107[] = {1, 1, 1, 15, 21, 3, 15, 13, 281, 63, 725, 2025, 4813, 14177, 18577, 875, 118623, 192005, 0};
static int joe_kuo_d6_initial_number20108[] = {1, 3, 5, 9, 17, 21, 85, 173, 59, 153, 763, 3899, 1985, 2071, 10439, 44911, 60915, 122419, 0};
static int joe_kuo_d6_initial_number20109[] = {1, 3, 7, 13, 11, 63, 59, 95, 53, 927, 555, 1897, 5195, 13469, 16973, 3463, 125173, 256021, 0};
static int joe_kuo_d6_initial_number20110[] = {1, 1, 3, 7, 9, 63, 33, 193, 61, 445, 1247, 1379, 4701, 5311, 30709, 16795, 69871, 161113, 0};
static int joe_kuo_d6_initial_number20111[] = {1, 3, 1, 3, 21, 25, 125, 111, 109, 75, 455, 861, 6483, 4501, 19095, 45601, 78415, 30995, 0};
static int joe_kuo_d6_initial_number20112[] = {1, 1, 3, 5, 1, 25, 15, 25, 223, 961, 537, 1453, 4951, 5085, 19801, 9863, 108819, 7319, 0};
static int joe_kuo_d6_initial_number20113[] = {1, 3, 1, 5, 29, 21, 79, 113, 177, 691, 219, 3159, 3493, 25, 30655, 46257, 23707, 243377, 0};
static int joe_kuo_d6_initial_number20114[] = {1, 1, 3, 3, 27, 21, 11, 95, 43, 161, 2029, 4091, 6695, 7179, 9955, 45195, 32017, 128605, 0};
static int joe_kuo_d6_initial_number20115[] = {1, 1, 7, 5, 19, 37, 47, 83, 169, 143, 773, 2127, 347, 1887, 2861, 8155, 21437, 175641, 0};
static int joe_kuo_d6_initial_number20116[] = {1, 3, 1, 1, 27, 63, 119, 57, 77, 931, 629, 1807, 4469, 2315, 3767, 19207, 114581, 125135, 0};
static int joe_kuo_d6_initial_number20117[] = {1, 1, 5, 11, 13, 51, 51, 239, 333, 369, 1035, 3017, 103, 1809, 14579, 34425, 123915, 258397, 0};
static int joe_kuo_d6_initial_number20118[] = {1, 1, 1, 3, 3, 19, 63, 237, 141, 929, 943, 2597, 3983, 1043, 24269, 12325, 39013, 216689, 0};
static int joe_kuo_d6_initial_number20119[] = {1, 1, 3, 7, 9, 61, 73, 31, 287, 303, 1415, 3453, 2667, 8625, 14347, 51953, 9181, 251937, 0};
static int joe_kuo_d6_initial_number20120[] = {1, 1, 7, 1, 15, 41, 1, 197, 87, 311, 1147, 3799, 2585, 14027, 491, 54203, 124861, 227637, 0};
static int joe_kuo_d6_initial_number20121[] = {1, 3, 7, 3, 15, 35, 97, 89, 65, 493, 1897, 3345, 3807, 5911, 12461, 21393, 116975, 212801, 0};
static int joe_kuo_d6_initial_number20122[] = {1, 1, 7, 11, 29, 47, 61, 171, 399, 929, 93, 2815, 4933, 9209, 15053, 21911, 117217, 52539, 0};
static int joe_kuo_d6_initial_number20123[] = {1, 3, 1, 1, 19, 25, 11, 41, 73, 317, 215, 923, 5153, 8025, 18703, 11513, 107981, 2027, 0};
static int joe_kuo_d6_initial_number20124[] = {1, 1, 5, 7, 27, 33, 47, 99, 171, 259, 2017, 2055, 909, 4185, 26689, 23155, 109857, 213957, 0};
static int joe_kuo_d6_initial_number20125[] = {1, 3, 7, 3, 31, 17, 39, 203, 255, 345, 1461, 1561, 4349, 6451, 14763, 32993, 74475, 140557, 0};
static int joe_kuo_d6_initial_number20126[] = {1, 1, 5, 3, 21, 57, 75, 201, 371, 529, 1471, 243, 3751, 581, 18405, 40933, 106311, 745, 0};
static int joe_kuo_d6_initial_number20127[] = {1, 1, 3, 13, 7, 53, 125, 15, 55, 267, 1865, 3297, 4331, 2913, 21675, 58911, 28419, 105585, 0};
static int joe_kuo_d6_initial_number20128[] = {1, 3, 5, 13, 7, 13, 37, 37, 207, 127, 785, 1129, 8123, 7655, 16003, 18907, 48883, 2001, 0};
static int joe_kuo_d6_initial_number20129[] = {1, 1, 5, 3, 11, 3, 127, 149, 503, 1019, 887, 3429, 7775, 7113, 19571, 34461, 38889, 66981, 0};
static int joe_kuo_d6_initial_number20130[] = {1, 3, 7, 7, 1, 55, 87, 217, 465, 485, 411, 2955, 4899, 1741, 7051, 42885, 1837, 68175, 0};
static int joe_kuo_d6_initial_number20131[] = {1, 1, 7, 1, 7, 39, 25, 1, 185, 523, 273, 2409, 1867, 3101, 29823, 4509, 81621, 11815, 0};
static int joe_kuo_d6_initial_number20132[] = {1, 1, 1, 11, 13, 11, 89, 237, 355, 347, 91, 1791, 5745, 4181, 29207, 39495, 5275, 199395, 0};
static int joe_kuo_d6_initial_number20133[] = {1, 1, 7, 3, 17, 37, 109, 169, 191, 295, 1001, 2631, 1981, 11821, 8315, 40675, 1293, 220247, 0};
static int joe_kuo_d6_initial_number20134[] = {1, 3, 1, 7, 31, 25, 5, 55, 1, 795, 1663, 3177, 6821, 2073, 25789, 23691, 25015, 75203, 0};
static int joe_kuo_d6_initial_number20135[] = {1, 3, 5, 9, 19, 9, 97, 129, 351, 735, 1897, 3555, 1731, 5413, 32051, 12869, 111973, 100157, 0};
static int joe_kuo_d6_initial_number20136[] = {1, 3, 3, 15, 27, 1, 3, 167, 7, 851, 805, 713, 6389, 1455, 32371, 7617, 107157, 131299, 0};
static int joe_kuo_d6_initial_number20137[] = {1, 3, 1, 13, 31, 29, 91, 123, 387, 939, 223, 3583, 2889, 5307, 16561, 6055, 4437, 123229, 0};
static int joe_kuo_d6_initial_number20138[] = {1, 3, 5, 11, 27, 17, 5, 145, 369, 449, 1677, 1039, 3553, 3057, 11667, 51879, 20519, 41573, 0};
static int joe_kuo_d6_initial_number20139[] = {1, 3, 1, 9, 9, 1, 91, 33, 379, 35, 691, 375, 5937, 15019, 16177, 53457, 52015, 232257, 0};
static int joe_kuo_d6_initial_number20140[] = {1, 1, 3, 11, 23, 17, 75, 217, 377, 571, 1725, 2719, 3911, 12277, 27799, 55573, 21981, 112529, 0};
static int joe_kuo_d6_initial_number20141[] = {1, 3, 1, 11, 9, 37, 81, 95, 501, 615, 327, 3751, 7333, 15407, 7785, 29113, 116335, 221853, 0};
static int joe_kuo_d6_initial_number20142[] = {1, 1, 1, 3, 17, 1, 125, 157, 461, 845, 93, 107, 4429, 2271, 14445, 32919, 81175, 244557, 0};
static int joe_kuo_d6_initial_number20143[] = {1, 3, 3, 1, 27, 23, 33, 15, 29, 361, 409, 981, 7819, 10259, 21971, 23317, 66641, 54591, 0};
static int joe_kuo_d6_initial_number20144[] = {1, 3, 7, 13, 31, 63, 11, 167, 511, 81, 1165, 3973, 4275, 3315, 10227, 34973, 58505, 2333, 0};
static int joe_kuo_d6_initial_number20145[] = {1, 3, 1, 9, 3, 49, 111, 101, 41, 775, 449, 1349, 4411, 8691, 535, 60137, 3269, 204895, 0};
static int joe_kuo_d6_initial_number20146[] = {1, 3, 7, 15, 7, 43, 39, 147, 309, 185, 733, 1473, 5467, 6183, 17971, 56805, 111931, 163515, 0};
static int joe_kuo_d6_initial_number20147[] = {1, 3, 1, 3, 21, 31, 17, 129, 317, 587, 801, 2517, 2569, 765, 20869, 16461, 34425, 101123, 0};
static int joe_kuo_d6_initial_number20148[] = {1, 3, 1, 7, 13, 63, 117, 31, 25, 741, 365, 687, 6195, 2093, 14679, 16861, 123381, 25263, 0};
static int joe_kuo_d6_initial_number20149[] = {1, 1, 1, 3, 13, 59, 65, 131, 41, 39, 1659, 1491, 225, 10277, 12445, 4161, 92119, 146705, 0};
static int joe_kuo_d6_initial_number20150[] = {1, 3, 5, 1, 31, 11, 21, 203, 345, 473, 1643, 1377, 555, 11675, 15383, 30855, 41249, 231059, 0};
static int joe_kuo_d6_initial_number20151[] = {1, 1, 7, 15, 3, 23, 33, 133, 433, 407, 1217, 3345, 7455, 11489, 21463, 41621, 95755, 86971, 0};
static int joe_kuo_d6_initial_number20152[] = {1, 1, 1, 3, 13, 47, 45, 181, 489, 89, 427, 1915, 3993, 10133, 20437, 31811, 48421, 150009, 0};
static int joe_kuo_d6_initial_number20153[] = {1, 3, 1, 9, 9, 25, 89, 195, 503, 755, 59, 1869, 6645, 13841, 22973, 17761, 46759, 68717, 0};
static int joe_kuo_d6_initial_number20154[] = {1, 3, 1, 1, 19, 21, 119, 123, 481, 289, 1009, 3769, 3909, 1123, 17875, 17383, 71533, 45455, 0};
static int joe_kuo_d6_initial_number20155[] = {1, 1, 1, 3, 31, 33, 127, 43, 467, 749, 377, 3025, 511, 13335, 23987, 63627, 50211, 197253, 0};
static int joe_kuo_d6_initial_number20156[] = {1, 1, 5, 13, 29, 7, 101, 43, 299, 769, 1637, 3731, 1945, 9933, 22263, 1523, 127557, 116867, 0};
static int joe_kuo_d6_initial_number20157[] = {1, 1, 3, 11, 1, 59, 25, 45, 275, 535, 1349, 3625, 8125, 727, 1215, 15487, 86229, 124817, 0};
static int joe_kuo_d6_initial_number20158[] = {1, 3, 3, 13, 3, 11, 25, 237, 213, 331, 395, 1775, 1225, 6859, 16577, 39105, 118081, 74727, 0};
static int joe_kuo_d6_initial_number20159[] = {1, 1, 1, 9, 5, 27, 117, 75, 479, 757, 1299, 2273, 3221, 5297, 249, 60327, 48739, 107023, 0};
static int joe_kuo_d6_initial_number20160[] = {1, 1, 5, 9, 27, 9, 123, 49, 63, 763, 121, 3955, 2069, 5999, 25973, 64661, 6321, 1179, 0};
static int joe_kuo_d6_initial_number20161[] = {1, 3, 7, 11, 9, 51, 65, 93, 51, 51, 829, 3239, 7431, 3489, 7691, 38777, 28151, 96635, 0};
static int joe_kuo_d6_initial_number20162[] = {1, 3, 3, 13, 15, 51, 13, 203, 49, 73, 363, 2173, 7771, 11527, 27683, 39333, 2083, 178623, 0};
static int joe_kuo_d6_initial_number20163[] = {1, 1, 5, 5, 15, 27, 27, 127, 503, 955, 427, 3061, 6213, 917, 889, 12601, 72445, 105383, 0};
static int joe_kuo_d6_initial_number20164[] = {1, 3, 5, 3, 27, 43, 105, 187, 309, 747, 1843, 723, 539, 8829, 19171, 46009, 26129, 173145, 0};
static int joe_kuo_d6_initial_number20165[] = {1, 3, 7, 7, 9, 51, 121, 139, 107, 453, 1103, 2957, 633, 1435, 27275, 53231, 51393, 16847, 0};
static int joe_kuo_d6_initial_number20166[] = {1, 3, 7, 5, 25, 31, 71, 191, 169, 69, 1477, 1413, 7659, 11737, 12365, 25067, 21787, 16225, 0};
static int joe_kuo_d6_initial_number20167[] = {1, 1, 7, 1, 9, 33, 37, 123, 391, 341, 829, 1543, 7323, 14695, 16431, 20009, 95821, 182791, 0};
static int joe_kuo_d6_initial_number20168[] = {1, 3, 1, 5, 9, 59, 109, 39, 301, 977, 1963, 177, 8107, 16193, 5691, 14157, 71605, 250839, 0};
static int joe_kuo_d6_initial_number20169[] = {1, 3, 5, 9, 29, 33, 33, 153, 7, 217, 201, 563, 6577, 9605, 16671, 63949, 97937, 234309, 0};
static int joe_kuo_d6_initial_number20170[] = {1, 3, 7, 3, 25, 11, 81, 89, 275, 801, 477, 1921, 2279, 1651, 13333, 9127, 99693, 83141, 0};
static int joe_kuo_d6_initial_number20171[] = {1, 3, 7, 5, 23, 51, 23, 51, 447, 689, 387, 1845, 6033, 2037, 20139, 33165, 56111, 243353, 0};
static int joe_kuo_d6_initial_number20172[] = {1, 3, 5, 7, 5, 7, 105, 121, 439, 471, 721, 85, 1627, 3735, 29611, 15537, 36131, 30225, 0};
static int joe_kuo_d6_initial_number20173[] = {1, 1, 5, 5, 7, 29, 31, 209, 183, 217, 467, 1287, 6145, 14737, 16249, 8857, 101405, 103355, 0};
static int joe_kuo_d6_initial_number20174[] = {1, 3, 3, 5, 19, 1, 43, 15, 239, 63, 617, 2189, 3841, 1223, 12217, 4121, 88047, 14069, 0};
static int joe_kuo_d6_initial_number20175[] = {1, 3, 7, 1, 9, 49, 11, 65, 297, 943, 1739, 3797, 6169, 2057, 5031, 2149, 21439, 141039, 0};
static int joe_kuo_d6_initial_number20176[] = {1, 1, 1, 7, 15, 59, 35, 203, 347, 529, 1741, 1003, 6143, 4979, 15495, 48447, 2139, 187025, 0};
static int joe_kuo_d6_initial_number20177[] = {1, 1, 7, 13, 15, 17, 77, 225, 461, 691, 1067, 1133, 6555, 511, 25845, 39835, 11755, 142743, 0};
static int joe_kuo_d6_initial_number20178[] = {1, 3, 3, 11, 27, 25, 49, 51, 335, 1, 381, 2703, 7023, 14739, 19335, 39625, 82255, 76277, 0};
static int joe_kuo_d6_initial_number20179[] = {1, 3, 3, 7, 19, 3, 35, 95, 203, 991, 515, 2245, 6085, 4129, 9581, 38309, 114203, 136021, 0};
static int joe_kuo_d6_initial_number20180[] = {1, 1, 7, 7, 21, 61, 31, 57, 459, 119, 523, 1293, 3647, 735, 28849, 15581, 123943, 210069, 0};
static int joe_kuo_d6_initial_number20181[] = {1, 1, 7, 3, 9, 55, 103, 23, 401, 109, 23, 4083, 6179, 12817, 2787, 43337, 53647, 241507, 0};
static int joe_kuo_d6_initial_number20182[] = {1, 1, 5, 7, 9, 51, 37, 133, 97, 933, 1509, 2229, 1769, 12901, 15439, 25687, 128823, 72451, 0};
static int joe_kuo_d6_initial_number20183[] = {1, 3, 1, 13, 17, 19, 7, 109, 299, 799, 621, 3393, 3645, 283, 29889, 63215, 97805, 45795, 0};
static int joe_kuo_d6_initial_number20184[] = {1, 3, 1, 15, 21, 7, 65, 237, 221, 433, 1611, 2591, 3639, 3231, 6025, 53465, 88091, 17657, 0};
static int joe_kuo_d6_initial_number20185[] = {1, 1, 7, 9, 27, 13, 11, 185, 381, 43, 961, 2743, 2691, 10531, 3713, 61757, 124011, 209323, 0};
static int joe_kuo_d6_initial_number20186[] = {1, 3, 5, 1, 13, 7, 109, 65, 359, 577, 2001, 3085, 3519, 8577, 19299, 40145, 37159, 82421, 0};
static int joe_kuo_d6_initial_number20187[] = {1, 1, 3, 11, 7, 5, 21, 215, 391, 317, 879, 1835, 611, 7189, 3887, 45383, 41025, 175701, 0};
static int joe_kuo_d6_initial_number20188[] = {1, 1, 1, 1, 5, 17, 69, 115, 481, 477, 2017, 583, 8033, 11349, 16625, 213, 88033, 31707, 0};
static int joe_kuo_d6_initial_number20189[] = {1, 1, 7, 15, 19, 55, 121, 35, 1, 71, 1011, 3247, 4133, 1681, 29943, 30149, 96797, 177707, 0};
static int joe_kuo_d6_initial_number20190[] = {1, 3, 5, 13, 11, 45, 83, 153, 455, 223, 787, 2025, 5271, 229, 17549, 5775, 75311, 134523, 0};
static int joe_kuo_d6_initial_number20191[] = {1, 3, 5, 7, 21, 43, 3, 253, 395, 651, 1111, 1685, 539, 6555, 25761, 39477, 15823, 261825, 0};
static int joe_kuo_d6_initial_number20192[] = {1, 3, 7, 15, 27, 35, 43, 191, 269, 247, 883, 887, 1505, 7433, 6239, 5421, 49583, 17765, 0};
static int joe_kuo_d6_initial_number20193[] = {1, 1, 5, 15, 7, 19, 113, 177, 63, 119, 517, 3987, 971, 12071, 13107, 28913, 85675, 204921, 0};
static int joe_kuo_d6_initial_number20194[] = {1, 3, 7, 15, 31, 47, 21, 129, 31, 505, 661, 855, 6135, 13063, 27971, 63801, 27469, 75373, 0};
static int joe_kuo_d6_initial_number20195[] = {1, 1, 7, 5, 13, 23, 111, 85, 279, 969, 483, 831, 483, 9065, 10997, 59031, 5083, 150939, 0};
static int joe_kuo_d6_initial_number20196[] = {1, 3, 5, 7, 17, 55, 11, 223, 189, 209, 139, 577, 5443, 913, 19085, 53113, 8427, 11251, 0};
static int joe_kuo_d6_initial_number20197[] = {1, 1, 1, 7, 23, 61, 95, 213, 443, 803, 1545, 3625, 2195, 2649, 10913, 14339, 23001, 16735, 0};
static int joe_kuo_d6_initial_number20198[] = {1, 3, 3, 3, 13, 45, 15, 225, 419, 445, 527, 635, 2279, 5097, 25267, 199, 66187, 156717, 0};
static int joe_kuo_d6_initial_number20199[] = {1, 1, 1, 7, 23, 17, 113, 245, 99, 159, 919, 2961, 1731, 6241, 12749, 8925, 44153, 243249, 0};
static int joe_kuo_d6_initial_number20200[] = {1, 3, 1, 3, 29, 57, 43, 245, 389, 233, 135, 45, 3771, 14061, 10173, 51939, 128985, 81605, 0};
static int joe_kuo_d6_initial_number20201[] = {1, 1, 1, 15, 1, 19, 25, 111, 91, 193, 1185, 3679, 7155, 7077, 13743, 35631, 128975, 196979, 0};
static int joe_kuo_d6_initial_number20202[] = {1, 3, 3, 13, 31, 57, 25, 53, 149, 331, 643, 915, 1607, 14429, 29803, 23459, 72915, 39253, 0};
static int joe_kuo_d6_initial_number20203[] = {1, 3, 3, 9, 23, 45, 9, 29, 383, 277, 981, 1647, 5217, 4449, 26759, 63849, 98081, 37565, 0};
static int joe_kuo_d6_initial_number20204[] = {1, 1, 1, 15, 3, 23, 9, 121, 231, 27, 1961, 2389, 1689, 7041, 8069, 37973, 74601, 15553, 0};
static int joe_kuo_d6_initial_number20205[] = {1, 1, 5, 15, 15, 29, 11, 177, 355, 47, 1821, 393, 3383, 10439, 6357, 41119, 60323, 206253, 0};
static int joe_kuo_d6_initial_number20206[] = {1, 1, 1, 1, 21, 29, 87, 149, 157, 979, 1867, 729, 1949, 4409, 27495, 6841, 89033, 214957, 0};
static int joe_kuo_d6_initial_number20207[] = {1, 1, 3, 3, 9, 7, 115, 129, 141, 157, 881, 109, 5537, 303, 32549, 1953, 9903, 82401, 0};
static int joe_kuo_d6_initial_number20208[] = {1, 1, 5, 15, 9, 19, 93, 53, 319, 913, 1341, 705, 4639, 16189, 11375, 39155, 81393, 115843, 0};
static int joe_kuo_d6_initial_number20209[] = {1, 1, 5, 7, 31, 21, 3, 47, 437, 799, 359, 3291, 3917, 12983, 19283, 23769, 34033, 226041, 0};
static int joe_kuo_d6_initial_number20210[] = {1, 3, 7, 7, 27, 13, 65, 31, 181, 511, 1373, 3871, 1537, 6015, 12103, 42187, 121043, 95715, 0};
static int joe_kuo_d6_initial_number20211[] = {1, 1, 5, 11, 1, 55, 91, 11, 105, 137, 1787, 81, 5163, 5793, 17403, 59433, 113439, 65751, 0};
static int joe_kuo_d6_initial_number20212[] = {1, 1, 3, 13, 21, 57, 87, 157, 379, 5, 285, 3217, 4557, 3359, 28953, 63397, 110537, 230571, 0};
static int joe_kuo_d6_initial_number20213[] = {1, 3, 7, 7, 7, 27, 25, 109, 125, 337, 719, 561, 5903, 12913, 6987, 17157, 50655, 195109, 0};
static int joe_kuo_d6_initial_number20214[] = {1, 3, 3, 15, 3, 11, 97, 93, 441, 19, 1435, 515, 6129, 5177, 28075, 53495, 107817, 78399, 0};
static int joe_kuo_d6_initial_number20215[] = {1, 3, 1, 9, 13, 7, 89, 171, 165, 479, 223, 4001, 691, 4033, 13577, 33363, 63447, 46609, 0};
static int joe_kuo_d6_initial_number20216[] = {1, 3, 7, 1, 15, 47, 103, 45, 209, 639, 1465, 2795, 6025, 7981, 29491, 47743, 12861, 222445, 0};
static int joe_kuo_d6_initial_number20217[] = {1, 3, 3, 3, 1, 25, 121, 91, 253, 969, 1259, 1409, 1329, 15995, 17733, 24081, 101747, 120619, 0};
static int joe_kuo_d6_initial_number20218[] = {1, 3, 7, 11, 11, 5, 7, 241, 469, 411, 1733, 1385, 7005, 10977, 23369, 10675, 90341, 93077, 0};
static int joe_kuo_d6_initial_number20219[] = {1, 3, 3, 13, 17, 35, 107, 189, 437, 801, 1761, 3133, 3847, 14079, 22465, 45957, 38449, 54273, 0};
static int joe_kuo_d6_initial_number20220[] = {1, 1, 7, 9, 9, 47, 55, 107, 491, 281, 777, 2187, 6179, 6607, 2151, 9093, 42873, 104677, 0};
static int joe_kuo_d6_initial_number20221[] = {1, 1, 5, 3, 25, 3, 37, 55, 339, 619, 1227, 3859, 5593, 9639, 31199, 48155, 80779, 6497, 0};
static int joe_kuo_d6_initial_number20222[] = {1, 1, 7, 1, 21, 49, 105, 45, 119, 635, 163, 3821, 3689, 11395, 19265, 14289, 89259, 167433, 0};
static int joe_kuo_d6_initial_number20223[] = {1, 3, 3, 15, 29, 23, 11, 255, 425, 443, 1659, 3965, 4791, 10223, 11113, 48751, 7987, 166605, 0};
static int joe_kuo_d6_initial_number20224[] = {1, 1, 7, 3, 7, 1, 113, 153, 233, 803, 539, 297, 4847, 11203, 29393, 54319, 94373, 173471, 0};
static int joe_kuo_d6_initial_number20225[] = {1, 3, 3, 5, 27, 57, 23, 147, 423, 617, 103, 3369, 4825, 13613, 23635, 61977, 5331, 115243, 0};
static int joe_kuo_d6_initial_number20226[] = {1, 3, 3, 9, 11, 47, 41, 27, 345, 657, 1873, 365, 1685, 11181, 31977, 60489, 98741, 215357, 0};
static int joe_kuo_d6_initial_number20227[] = {1, 3, 1, 11, 19, 33, 39, 223, 151, 921, 309, 3413, 6735, 11971, 25583, 6927, 54821, 125203, 0};
static int joe_kuo_d6_initial_number20228[] = {1, 1, 5, 1, 27, 31, 61, 247, 207, 895, 1453, 3613, 7097, 6537, 29407, 9903, 39937, 98285, 0};
static int joe_kuo_d6_initial_number20229[] = {1, 3, 1, 5, 7, 11, 119, 7, 323, 27, 1069, 2033, 7387, 3381, 19007, 49039, 39453, 115411, 0};
static int joe_kuo_d6_initial_number20230[] = {1, 1, 7, 3, 9, 15, 51, 139, 353, 857, 1829, 3955, 7669, 3961, 22805, 39879, 26677, 66865, 0};
static int joe_kuo_d6_initial_number20231[] = {1, 3, 5, 7, 1, 11, 59, 95, 181, 645, 829, 3119, 3607, 5973, 12381, 41577, 79443, 226945, 0};
static int joe_kuo_d6_initial_number20232[] = {1, 3, 3, 5, 3, 13, 91, 119, 103, 889, 703, 3005, 541, 7529, 12613, 14267, 70445, 217543, 0};
static int joe_kuo_d6_initial_number20233[] = {1, 1, 5, 7, 17, 41, 5, 225, 85, 759, 1071, 2055, 1655, 14811, 25635, 50803, 58545, 105687, 0};
static int joe_kuo_d6_initial_number20234[] = {1, 3, 5, 13, 3, 7, 77, 209, 139, 717, 985, 1085, 831, 11011, 27313, 46423, 29435, 207359, 0};
static int joe_kuo_d6_initial_number20235[] = {1, 3, 1, 7, 27, 45, 39, 75, 311, 937, 1593, 1357, 4815, 1997, 1045, 48681, 49301, 155607, 0};
static int joe_kuo_d6_initial_number20236[] = {1, 3, 5, 11, 21, 9, 111, 39, 447, 241, 1613, 1799, 4817, 1861, 1263, 63641, 92081, 252051, 0};
static int joe_kuo_d6_initial_number20237[] = {1, 1, 1, 13, 31, 13, 39, 29, 349, 25, 1227, 2457, 3831, 7965, 16903, 25825, 62381, 101765, 0};
static int joe_kuo_d6_initial_number20238[] = {1, 1, 3, 7, 15, 17, 5, 29, 83, 607, 931, 261, 1087, 16247, 10129, 7813, 5445, 167723, 0};
static int joe_kuo_d6_initial_number20239[] = {1, 3, 5, 9, 15, 31, 69, 191, 139, 467, 1681, 1951, 7813, 4295, 18191, 11411, 15601, 13025, 0};
static int joe_kuo_d6_initial_number20240[] = {1, 1, 1, 11, 29, 53, 97, 205, 281, 917, 1009, 913, 1003, 16085, 30339, 55753, 53099, 30697, 0};
static int joe_kuo_d6_initial_number20241[] = {1, 1, 3, 15, 25, 35, 7, 227, 63, 251, 845, 843, 7117, 6021, 26917, 43611, 108643, 215471, 0};
static int joe_kuo_d6_initial_number20242[] = {1, 1, 3, 11, 19, 29, 75, 5, 131, 37, 1185, 2387, 8161, 1621, 19887, 20525, 33067, 30869, 0};
static int joe_kuo_d6_initial_number20243[] = {1, 1, 3, 3, 7, 37, 75, 159, 313, 17, 479, 2477, 7779, 309, 26095, 35693, 92561, 143151, 0};
static int joe_kuo_d6_initial_number20244[] = {1, 1, 5, 9, 5, 29, 65, 223, 331, 1013, 37, 1813, 1379, 9277, 14681, 61687, 24763, 124669, 0};
static int joe_kuo_d6_initial_number20245[] = {1, 3, 1, 1, 17, 47, 7, 219, 11, 13, 1517, 2583, 7483, 5399, 6883, 51387, 17901, 108659, 0};
static int joe_kuo_d6_initial_number20246[] = {1, 3, 7, 11, 9, 63, 81, 91, 411, 535, 255, 3683, 5285, 1787, 27205, 43651, 15647, 230651, 0};
static int joe_kuo_d6_initial_number20247[] = {1, 3, 1, 11, 7, 47, 35, 255, 341, 379, 421, 753, 7821, 13271, 13021, 463, 48457, 132521, 0};
static int joe_kuo_d6_initial_number20248[] = {1, 1, 5, 7, 21, 23, 53, 229, 393, 509, 1641, 2245, 6941, 10447, 3231, 5451, 18883, 47401, 0};
static int joe_kuo_d6_initial_number20249[] = {1, 3, 1, 7, 13, 61, 71, 49, 147, 625, 299, 3843, 4851, 3483, 27005, 23871, 18855, 124893, 0};
static int joe_kuo_d6_initial_number20250[] = {1, 3, 1, 7, 31, 13, 127, 177, 259, 179, 531, 1775, 5481, 13157, 23821, 31773, 93941, 237697, 0};
static int joe_kuo_d6_initial_number20251[] = {1, 1, 7, 1, 23, 21, 111, 219, 401, 455, 1603, 2077, 1537, 2063, 17821, 52087, 20707, 29535, 0};
static int joe_kuo_d6_initial_number20252[] = {1, 1, 3, 11, 17, 17, 13, 79, 49, 353, 1691, 361, 2805, 7121, 27013, 50631, 108235, 70513, 0};
static int joe_kuo_d6_initial_number20253[] = {1, 1, 5, 3, 15, 25, 103, 73, 377, 253, 1303, 501, 555, 15789, 16647, 9019, 60581, 157337, 0};
static int joe_kuo_d6_initial_number20254[] = {1, 3, 5, 9, 23, 45, 3, 251, 25, 559, 429, 1091, 5657, 15387, 5113, 64533, 131049, 127587, 0};
static int joe_kuo_d6_initial_number20255[] = {1, 1, 3, 15, 1, 53, 71, 141, 413, 849, 737, 3045, 7119, 8049, 18295, 31447, 70735, 117457, 0};
static int joe_kuo_d6_initial_number20256[] = {1, 1, 1, 11, 17, 11, 69, 155, 211, 249, 1869, 1575, 6859, 7045, 7015, 20135, 84157, 232621, 0};
static int joe_kuo_d6_initial_number20257[] = {1, 3, 7, 5, 19, 55, 15, 163, 457, 371, 1665, 1935, 601, 3629, 21975, 1191, 45133, 111649, 0};
static int joe_kuo_d6_initial_number20258[] = {1, 3, 7, 11, 23, 33, 5, 253, 355, 379, 933, 1781, 3989, 6191, 19081, 7651, 74671, 258799, 0};
static int joe_kuo_d6_initial_number20259[] = {1, 1, 3, 3, 23, 3, 63, 123, 273, 861, 369, 2409, 1505, 9059, 10727, 189, 122911, 44037, 0};
static int joe_kuo_d6_initial_number20260[] = {1, 1, 7, 13, 13, 23, 19, 87, 191, 397, 2027, 1689, 1143, 10919, 27073, 15013, 118429, 119165, 0};
static int joe_kuo_d6_initial_number20261[] = {1, 1, 5, 9, 15, 13, 29, 81, 409, 955, 1827, 1341, 3473, 16005, 29041, 57527, 7329, 167093, 0};
static int joe_kuo_d6_initial_number20262[] = {1, 1, 5, 3, 11, 31, 47, 13, 171, 995, 961, 3885, 3259, 2745, 12405, 49281, 2901, 207591, 0};
static int joe_kuo_d6_initial_number20263[] = {1, 3, 5, 13, 31, 3, 1, 215, 465, 279, 1697, 2449, 3829, 2053, 9877, 52911, 126077, 210515, 0};
static int joe_kuo_d6_initial_number20264[] = {1, 1, 3, 7, 11, 27, 55, 115, 249, 353, 407, 2567, 8105, 7747, 18111, 3383, 101875, 2185, 0};
static int joe_kuo_d6_initial_number20265[] = {1, 1, 3, 9, 25, 5, 35, 137, 405, 667, 1671, 2965, 5975, 4999, 18421, 43623, 64621, 129797, 0};
static int joe_kuo_d6_initial_number20266[] = {1, 3, 7, 13, 3, 17, 33, 191, 463, 787, 1795, 3037, 1679, 63, 12389, 3983, 22385, 84235, 0};
static int joe_kuo_d6_initial_number20267[] = {1, 1, 5, 9, 11, 25, 85, 215, 355, 553, 317, 1637, 3461, 15943, 2619, 14545, 125507, 18659, 0};
static int joe_kuo_d6_initial_number20268[] = {1, 1, 7, 5, 3, 41, 105, 179, 125, 557, 1345, 3631, 481, 10621, 11213, 40223, 46581, 113137, 0};
static int joe_kuo_d6_initial_number20269[] = {1, 3, 3, 15, 1, 63, 95, 213, 89, 21, 1249, 3063, 413, 4307, 26723, 10225, 115143, 144817, 0};
static int joe_kuo_d6_initial_number20270[] = {1, 3, 5, 15, 9, 43, 41, 117, 419, 143, 1651, 377, 4775, 8761, 23793, 8719, 76499, 208119, 0};
static int joe_kuo_d6_initial_number20271[] = {1, 3, 3, 1, 21, 29, 47, 117, 23, 333, 1153, 1067, 5859, 9375, 29997, 58991, 55895, 204933, 0};
static int joe_kuo_d6_initial_number20272[] = {1, 1, 3, 11, 11, 21, 115, 85, 223, 281, 701, 1331, 1341, 1149, 5993, 10885, 77353, 113553, 0};
static int joe_kuo_d6_initial_number20273[] = {1, 1, 5, 1, 25, 1, 1, 153, 449, 231, 593, 3061, 4157, 6661, 21735, 11361, 57751, 129569, 0};
static int joe_kuo_d6_initial_number20274[] = {1, 1, 3, 7, 27, 63, 81, 251, 125, 197, 1525, 1637, 4643, 4743, 17127, 51217, 95781, 973, 0};
static int joe_kuo_d6_initial_number20275[] = {1, 1, 3, 7, 11, 51, 13, 139, 83, 341, 543, 3061, 7777, 6705, 9609, 28933, 24669, 225275, 0};
static int joe_kuo_d6_initial_number20276[] = {1, 3, 1, 9, 25, 39, 99, 139, 5, 725, 1759, 1577, 1751, 3197, 3169, 39051, 1743, 108813, 0};
static int joe_kuo_d6_initial_number20277[] = {1, 1, 7, 5, 31, 15, 115, 229, 499, 291, 501, 3119, 2293, 14137, 625, 16379, 111057, 101643, 0};
static int joe_kuo_d6_initial_number20278[] = {1, 3, 7, 15, 31, 1, 51, 73, 455, 51, 1983, 3687, 6049, 3495, 26247, 6567, 28479, 158909, 0};
static int joe_kuo_d6_initial_number20279[] = {1, 3, 5, 5, 9, 11, 77, 181, 165, 773, 1611, 3945, 6787, 3827, 28597, 53269, 34003, 237291, 0};
static int joe_kuo_d6_initial_number20280[] = {1, 1, 5, 3, 31, 57, 15, 9, 163, 363, 1021, 2193, 8175, 3851, 26059, 63915, 114293, 163637, 0};
static int joe_kuo_d6_initial_number20281[] = {1, 1, 3, 7, 27, 49, 35, 121, 469, 833, 879, 1601, 6991, 13271, 8085, 45343, 5189, 109413, 0};
static int joe_kuo_d6_initial_number20282[] = {1, 3, 1, 15, 7, 11, 111, 153, 129, 769, 565, 2693, 333, 7343, 28535, 56937, 85641, 19871, 0};
static int joe_kuo_d6_initial_number20283[] = {1, 1, 5, 13, 7, 49, 121, 223, 55, 33, 19, 2291, 1847, 10173, 23337, 23431, 18181, 155663, 0};
static int joe_kuo_d6_initial_number20284[] = {1, 3, 1, 11, 25, 9, 3, 255, 425, 861, 1025, 3719, 6995, 14687, 31083, 60609, 115375, 17813, 0};
static int joe_kuo_d6_initial_number20285[] = {1, 1, 5, 13, 1, 55, 109, 239, 13, 939, 1077, 669, 1643, 10949, 25399, 55055, 125829, 253077, 0};
static int joe_kuo_d6_initial_number20286[] = {1, 1, 5, 3, 15, 51, 13, 133, 257, 387, 2017, 2223, 1479, 9377, 12867, 9833, 32323, 6255, 0};
static int joe_kuo_d6_initial_number20287[] = {1, 3, 1, 9, 1, 53, 121, 163, 349, 491, 1867, 3403, 6859, 459, 1483, 23893, 66851, 150843, 0};
static int joe_kuo_d6_initial_number20288[] = {1, 1, 1, 1, 1, 33, 51, 33, 177, 633, 449, 2705, 663, 3701, 8331, 43895, 87223, 48587, 0};
static int joe_kuo_d6_initial_number20289[] = {1, 3, 5, 7, 23, 7, 99, 43, 217, 31, 749, 2831, 1557, 3295, 6797, 45229, 46831, 62183, 0};
static int joe_kuo_d6_initial_number20290[] = {1, 1, 7, 7, 1, 45, 35, 51, 415, 693, 479, 1017, 6703, 241, 30887, 8953, 26901, 2951, 0};
static int joe_kuo_d6_initial_number20291[] = {1, 3, 3, 7, 29, 3, 25, 217, 67, 769, 653, 3983, 5513, 15481, 21399, 17525, 81747, 109843, 0};
static int joe_kuo_d6_initial_number20292[] = {1, 3, 5, 5, 29, 17, 97, 187, 157, 189, 1531, 1123, 4291, 14831, 15493, 62753, 53563, 153679, 0};
static int joe_kuo_d6_initial_number20293[] = {1, 3, 7, 13, 15, 63, 47, 5, 351, 275, 1177, 3947, 6755, 1319, 17053, 14267, 98215, 228795, 0};
static int joe_kuo_d6_initial_number20294[] = {1, 3, 7, 5, 19, 45, 43, 223, 213, 903, 539, 267, 83, 6951, 2979, 56929, 58405, 198373, 0};
static int joe_kuo_d6_initial_number20295[] = {1, 1, 5, 11, 21, 37, 109, 103, 29, 49, 17, 3987, 5679, 2559, 17391, 46157, 38743, 82245, 0};
static int joe_kuo_d6_initial_number20296[] = {1, 1, 3, 7, 7, 35, 57, 187, 113, 361, 721, 1821, 6473, 10233, 22549, 37725, 8445, 220669, 0};
static int joe_kuo_d6_initial_number20297[] = {1, 3, 3, 9, 21, 41, 73, 29, 163, 701, 1277, 3869, 1529, 4889, 10091, 65507, 53829, 191347, 0};
static int joe_kuo_d6_initial_number20298[] = {1, 1, 5, 15, 5, 21, 39, 39, 341, 271, 1543, 3161, 3935, 8319, 24921, 19575, 95009, 256221, 0};
static int joe_kuo_d6_initial_number20299[] = {1, 1, 1, 3, 11, 33, 63, 189, 21, 773, 1261, 3947, 183, 6769, 31337, 22179, 57255, 8323, 0};
static int joe_kuo_d6_initial_number20300[] = {1, 1, 3, 15, 29, 59, 103, 251, 107, 499, 915, 387, 3127, 5597, 3345, 15657, 979, 91685, 0};
static int joe_kuo_d6_initial_number20301[] = {1, 3, 3, 11, 13, 27, 9, 137, 177, 75, 567, 1511, 7355, 3087, 15309, 51733, 87329, 217125, 0};
static int joe_kuo_d6_initial_number20302[] = {1, 1, 1, 15, 9, 43, 113, 177, 507, 379, 765, 75, 6895, 7523, 24611, 7315, 49653, 59263, 0};
static int joe_kuo_d6_initial_number20303[] = {1, 3, 1, 5, 29, 23, 59, 215, 267, 161, 1957, 341, 4081, 9635, 3345, 12323, 128751, 144577, 0};
static int joe_kuo_d6_initial_number20304[] = {1, 3, 3, 13, 17, 55, 59, 73, 65, 697, 1209, 3345, 5629, 4545, 23043, 37649, 55015, 10263, 0};
static int joe_kuo_d6_initial_number20305[] = {1, 1, 7, 1, 21, 3, 7, 19, 445, 417, 1677, 799, 1241, 15463, 19815, 52845, 81309, 256713, 0};
static int joe_kuo_d6_initial_number20306[] = {1, 1, 3, 13, 13, 57, 17, 199, 3, 377, 1799, 2713, 3937, 12511, 7439, 33605, 56697, 168195, 0};
static int joe_kuo_d6_initial_number20307[] = {1, 3, 1, 7, 21, 53, 115, 97, 389, 83, 961, 813, 1499, 3411, 22377, 33323, 118405, 115947, 0};
static int joe_kuo_d6_initial_number20308[] = {1, 3, 7, 11, 23, 43, 85, 249, 151, 893, 833, 901, 7731, 13467, 14721, 38613, 104033, 136097, 0};
static int joe_kuo_d6_initial_number20309[] = {1, 3, 1, 11, 23, 23, 119, 129, 175, 159, 1031, 2379, 2753, 6755, 10979, 18225, 52375, 257003, 0};
static int joe_kuo_d6_initial_number20310[] = {1, 3, 1, 13, 1, 9, 61, 255, 433, 621, 1469, 705, 5841, 7421, 23873, 30487, 55823, 119705, 0};
static int joe_kuo_d6_initial_number20311[] = {1, 3, 1, 15, 19, 31, 29, 163, 87, 793, 885, 2495, 4609, 2757, 5333, 52937, 79187, 228777, 0};
static int joe_kuo_d6_initial_number20312[] = {1, 1, 1, 3, 17, 43, 69, 241, 143, 173, 327, 2747, 5617, 16347, 16155, 47775, 25917, 163663, 0};
static int joe_kuo_d6_initial_number20313[] = {1, 1, 1, 1, 19, 19, 15, 27, 25, 139, 691, 4019, 3055, 10301, 11281, 10957, 59117, 178149, 0};
static int joe_kuo_d6_initial_number20314[] = {1, 1, 1, 3, 15, 15, 37, 89, 103, 7, 527, 2823, 7205, 6831, 25179, 22249, 103323, 31251, 0};
static int joe_kuo_d6_initial_number20315[] = {1, 1, 3, 3, 7, 49, 7, 241, 37, 11, 577, 1987, 1935, 14787, 16411, 36305, 65185, 221253, 0};
static int joe_kuo_d6_initial_number20316[] = {1, 1, 1, 5, 31, 51, 123, 169, 441, 13, 721, 2359, 5687, 2641, 16339, 8441, 55967, 98775, 0};
static int joe_kuo_d6_initial_number20317[] = {1, 1, 7, 5, 21, 23, 91, 229, 23, 105, 339, 2371, 7803, 14913, 12651, 40573, 117399, 134865, 0};
static int joe_kuo_d6_initial_number20318[] = {1, 3, 1, 15, 19, 27, 127, 77, 469, 343, 451, 2251, 6705, 7765, 8623, 10367, 100379, 140899, 0};
static int joe_kuo_d6_initial_number20319[] = {1, 3, 1, 5, 1, 11, 93, 231, 33, 133, 1545, 1015, 7577, 8871, 29975, 12141, 130833, 103123, 0};
static int joe_kuo_d6_initial_number20320[] = {1, 3, 3, 5, 7, 25, 95, 93, 293, 543, 1785, 2097, 6045, 4225, 607, 443, 72055, 32269, 0};
static int joe_kuo_d6_initial_number20321[] = {1, 1, 1, 1, 5, 55, 47, 105, 189, 359, 1589, 765, 2303, 11963, 25565, 40669, 98977, 242089, 0};
static int joe_kuo_d6_initial_number20322[] = {1, 1, 1, 15, 13, 45, 121, 235, 125, 181, 1891, 3265, 2097, 3207, 31647, 13407, 22515, 15155, 0};
static int joe_kuo_d6_initial_number20323[] = {1, 1, 5, 15, 13, 11, 81, 233, 307, 505, 221, 813, 6483, 741, 9819, 19405, 74235, 144761, 0};
static int joe_kuo_d6_initial_number20324[] = {1, 3, 5, 7, 9, 25, 31, 209, 337, 473, 1831, 2711, 5551, 13531, 28747, 1875, 6401, 159995, 0};
static int joe_kuo_d6_initial_number20325[] = {1, 1, 7, 7, 29, 3, 127, 207, 387, 849, 1449, 2741, 2105, 885, 18115, 5433, 122119, 16969, 0};
static int joe_kuo_d6_initial_number20326[] = {1, 3, 7, 9, 25, 17, 43, 209, 41, 927, 409, 1567, 1609, 12487, 16305, 41365, 10991, 172127, 0};
static int joe_kuo_d6_initial_number20327[] = {1, 1, 3, 7, 27, 29, 63, 127, 81, 283, 1459, 143, 5993, 14027, 8055, 28065, 128389, 255307, 0};
static int joe_kuo_d6_initial_number20328[] = {1, 3, 7, 11, 13, 41, 63, 223, 215, 901, 1853, 2881, 5149, 7439, 4519, 33279, 127765, 139431, 0};
static int joe_kuo_d6_initial_number20329[] = {1, 3, 7, 7, 15, 61, 61, 173, 221, 711, 191, 3863, 2695, 9663, 6277, 8791, 128019, 256755, 0};
static int joe_kuo_d6_initial_number20330[] = {1, 3, 1, 9, 29, 45, 83, 43, 297, 605, 1887, 2421, 2307, 5199, 17275, 39225, 127215, 253687, 0};
static int joe_kuo_d6_initial_number20331[] = {1, 1, 5, 3, 21, 23, 121, 125, 497, 945, 1367, 2757, 3481, 8607, 32447, 62373, 32171, 226621, 0};
static int joe_kuo_d6_initial_number20332[] = {1, 3, 1, 5, 7, 1, 71, 255, 465, 951, 129, 1989, 6053, 3737, 6511, 54519, 16947, 124491, 0};
static int joe_kuo_d6_initial_number20333[] = {1, 3, 5, 1, 9, 21, 127, 49, 85, 615, 1897, 1715, 7923, 10309, 16919, 24131, 18015, 140195, 0};
static int joe_kuo_d6_initial_number20334[] = {1, 1, 1, 1, 5, 27, 3, 205, 29, 319, 485, 3941, 7829, 789, 4207, 39939, 67761, 152459, 0};
static int joe_kuo_d6_initial_number20335[] = {1, 3, 7, 11, 9, 41, 1, 129, 511, 831, 1007, 2011, 6211, 9179, 20877, 62121, 21879, 23661, 0};
static int joe_kuo_d6_initial_number20336[] = {1, 1, 7, 1, 19, 53, 75, 123, 181, 735, 925, 1065, 3317, 3201, 27473, 19379, 78223, 45725, 0};
static int joe_kuo_d6_initial_number20337[] = {1, 1, 5, 9, 9, 61, 3, 193, 441, 815, 583, 3235, 247, 14091, 19877, 33505, 3477, 20111, 0};
static int joe_kuo_d6_initial_number20338[] = {1, 1, 5, 13, 29, 53, 55, 165, 359, 889, 1833, 1543, 7913, 307, 22853, 37839, 15569, 140127, 0};
static int joe_kuo_d6_initial_number20339[] = {1, 1, 1, 15, 21, 53, 63, 195, 299, 1019, 1371, 1311, 5401, 8015, 30335, 56281, 61011, 59279, 0};
static int joe_kuo_d6_initial_number20340[] = {1, 1, 3, 13, 3, 57, 45, 239, 445, 419, 581, 3971, 4621, 9327, 27255, 53069, 126415, 250313, 0};
static int joe_kuo_d6_initial_number20341[] = {1, 3, 1, 9, 5, 63, 21, 25, 447, 961, 1857, 3123, 3029, 9743, 26069, 38251, 58475, 108737, 0};
static int joe_kuo_d6_initial_number20342[] = {1, 3, 1, 15, 13, 59, 5, 21, 171, 107, 1631, 2407, 6695, 8079, 2805, 50995, 53173, 104757, 0};
static int joe_kuo_d6_initial_number20343[] = {1, 3, 7, 7, 1, 55, 103, 67, 369, 533, 515, 2363, 5147, 11633, 20435, 24591, 68155, 140029, 0};
static int joe_kuo_d6_initial_number20344[] = {1, 3, 7, 13, 19, 51, 13, 149, 159, 915, 1029, 2825, 5259, 5139, 31325, 42825, 119923, 227811, 0};
static int joe_kuo_d6_initial_number20345[] = {1, 3, 3, 3, 23, 17, 121, 25, 403, 333, 491, 2869, 881, 12997, 5101, 48351, 90831, 143009, 0};
static int joe_kuo_d6_initial_number20346[] = {1, 1, 3, 15, 23, 63, 93, 43, 107, 393, 419, 3509, 1543, 10295, 11019, 8389, 73753, 42681, 0};
static int joe_kuo_d6_initial_number20347[] = {1, 1, 7, 1, 29, 49, 41, 189, 303, 955, 1241, 1623, 2269, 3413, 6261, 2155, 90945, 95117, 0};
static int joe_kuo_d6_initial_number20348[] = {1, 1, 3, 15, 31, 13, 103, 241, 189, 283, 1303, 1693, 1587, 16313, 205, 43421, 121799, 200151, 0};
static int joe_kuo_d6_initial_number20349[] = {1, 3, 5, 1, 29, 27, 105, 83, 345, 411, 1197, 3489, 5891, 1137, 7311, 681, 127991, 69533, 0};
static int joe_kuo_d6_initial_number20350[] = {1, 3, 5, 15, 31, 11, 105, 221, 57, 39, 145, 3233, 1431, 16271, 21225, 47989, 72583, 191327, 0};
static int joe_kuo_d6_initial_number20351[] = {1, 3, 7, 9, 25, 47, 109, 61, 257, 949, 981, 1383, 8003, 4661, 19555, 20191, 114641, 84817, 0};
static int joe_kuo_d6_initial_number20352[] = {1, 1, 5, 9, 17, 9, 19, 209, 73, 573, 1039, 2741, 1495, 1615, 6299, 20507, 84729, 166977, 0};
static int joe_kuo_d6_initial_number20353[] = {1, 3, 5, 13, 27, 51, 39, 203, 437, 725, 1479, 3071, 621, 15563, 28473, 58403, 25943, 116683, 0};
static int joe_kuo_d6_initial_number20354[] = {1, 1, 3, 9, 5, 29, 63, 61, 329, 305, 523, 2243, 6689, 11773, 19319, 57783, 24265, 218153, 0};
static int joe_kuo_d6_initial_number20355[] = {1, 3, 7, 5, 17, 27, 115, 9, 243, 613, 679, 1915, 7265, 2989, 13663, 15115, 50779, 235761, 0};
static int joe_kuo_d6_initial_number20356[] = {1, 1, 5, 5, 13, 35, 111, 151, 255, 569, 1209, 3277, 4503, 3797, 22601, 19523, 126339, 141289, 0};
static int joe_kuo_d6_initial_number20357[] = {1, 1, 3, 9, 15, 51, 85, 125, 233, 1011, 231, 2949, 1091, 8605, 14855, 62401, 14143, 212557, 0};
static int joe_kuo_d6_initial_number20358[] = {1, 3, 5, 11, 29, 53, 83, 31, 201, 219, 1083, 967, 6913, 10325, 1971, 55841, 7733, 208883, 0};
static int joe_kuo_d6_initial_number20359[] = {1, 3, 3, 1, 23, 33, 51, 103, 265, 285, 1363, 2813, 3327, 7921, 13537, 31483, 43405, 189641, 0};
static int joe_kuo_d6_initial_number20360[] = {1, 1, 7, 15, 27, 3, 5, 87, 117, 437, 1251, 189, 3271, 15579, 25025, 23203, 39421, 133581, 0};
static int joe_kuo_d6_initial_number20361[] = {1, 1, 5, 1, 9, 3, 91, 45, 71, 557, 2019, 2355, 5539, 2843, 13025, 61017, 3475, 179891, 0};
static int joe_kuo_d6_initial_number20362[] = {1, 1, 7, 5, 17, 11, 127, 241, 9, 971, 1699, 2719, 1947, 109, 19817, 13949, 120247, 60775, 0};
static int joe_kuo_d6_initial_number20363[] = {1, 1, 5, 9, 9, 39, 117, 221, 197, 767, 1691, 4075, 3665, 1271, 16119, 64129, 2681, 105325, 0};
static int joe_kuo_d6_initial_number20364[] = {1, 3, 3, 11, 31, 51, 5, 23, 419, 715, 1985, 4095, 7255, 10491, 25575, 6177, 35917, 178345, 0};
static int joe_kuo_d6_initial_number20365[] = {1, 3, 5, 7, 15, 23, 99, 203, 461, 509, 1501, 1965, 1105, 1341, 21713, 21901, 129905, 67937, 0};
static int joe_kuo_d6_initial_number20366[] = {1, 3, 3, 15, 25, 5, 55, 167, 477, 125, 163, 2379, 2433, 12975, 26259, 55825, 19913, 202873, 0};
static int joe_kuo_d6_initial_number20367[] = {1, 3, 3, 7, 15, 15, 67, 227, 413, 905, 1609, 2083, 4011, 10477, 22809, 61873, 96423, 119253, 0};
static int joe_kuo_d6_initial_number20368[] = {1, 3, 1, 11, 13, 17, 37, 147, 355, 445, 619, 3181, 5939, 6953, 15859, 37979, 24723, 133037, 0};
static int joe_kuo_d6_initial_number20369[] = {1, 1, 5, 15, 5, 25, 89, 3, 279, 569, 343, 2453, 5739, 2901, 6709, 43957, 75791, 20791, 0};
static int joe_kuo_d6_initial_number20370[] = {1, 1, 3, 5, 13, 39, 53, 203, 75, 945, 635, 349, 2339, 2549, 23827, 7903, 128005, 14949, 0};
static int joe_kuo_d6_initial_number20371[] = {1, 1, 7, 3, 7, 59, 59, 77, 143, 99, 1313, 3957, 3807, 15731, 20919, 60829, 105967, 226767, 0};
static int joe_kuo_d6_initial_number20372[] = {1, 1, 3, 7, 17, 49, 27, 245, 129, 583, 1055, 741, 5607, 689, 20075, 54837, 113257, 222677, 0};
static int joe_kuo_d6_initial_number20373[] = {1, 1, 7, 13, 17, 5, 19, 141, 205, 749, 1769, 2981, 5787, 4511, 135, 19475, 113735, 116859, 0};
static int joe_kuo_d6_initial_number20374[] = {1, 3, 7, 1, 9, 33, 111, 139, 77, 117, 363, 1171, 2587, 1539, 30791, 10697, 6879, 104827, 0};
static int joe_kuo_d6_initial_number20375[] = {1, 3, 3, 5, 27, 47, 49, 215, 65, 435, 1601, 231, 2047, 10405, 28409, 17013, 103909, 232051, 0};
static int joe_kuo_d6_initial_number20376[] = {1, 3, 3, 3, 13, 19, 3, 159, 293, 675, 247, 2829, 6703, 6085, 1935, 18209, 15709, 186669, 0};
static int joe_kuo_d6_initial_number20377[] = {1, 3, 3, 5, 21, 55, 17, 237, 121, 603, 953, 947, 6973, 15979, 11029, 12381, 12807, 131603, 0};
static int joe_kuo_d6_initial_number20378[] = {1, 3, 5, 3, 3, 41, 121, 203, 283, 349, 1841, 115, 6567, 2131, 883, 50515, 78381, 168189, 0};
static int joe_kuo_d6_initial_number20379[] = {1, 3, 7, 15, 5, 55, 85, 13, 77, 443, 1711, 1043, 1265, 3701, 5121, 41435, 40637, 69125, 0};
static int joe_kuo_d6_initial_number20380[] = {1, 1, 5, 15, 15, 33, 67, 235, 3, 95, 1685, 731, 2187, 11857, 7197, 62113, 12565, 127455, 0};
static int joe_kuo_d6_initial_number20381[] = {1, 3, 7, 7, 11, 45, 125, 231, 263, 611, 221, 195, 6347, 14029, 7823, 52295, 78879, 211441, 0};
static int joe_kuo_d6_initial_number20382[] = {1, 3, 7, 15, 9, 63, 75, 189, 187, 449, 27, 3647, 4705, 13037, 3773, 36441, 35445, 181793, 0};
static int joe_kuo_d6_initial_number20383[] = {1, 1, 5, 3, 31, 19, 123, 39, 297, 1017, 1191, 2227, 6085, 5117, 16569, 64743, 29329, 157279, 0};
static int joe_kuo_d6_initial_number20384[] = {1, 1, 5, 5, 15, 47, 111, 61, 435, 657, 141, 3445, 6921, 7759, 30141, 37631, 85969, 227563, 0};
static int joe_kuo_d6_initial_number20385[] = {1, 3, 1, 13, 27, 39, 15, 167, 151, 185, 1513, 211, 951, 12705, 25703, 29289, 120993, 156741, 0};
static int joe_kuo_d6_initial_number20386[] = {1, 3, 7, 7, 7, 39, 19, 221, 351, 951, 1231, 1915, 3043, 189, 18977, 50149, 56583, 122147, 0};
static int joe_kuo_d6_initial_number20387[] = {1, 1, 5, 15, 29, 37, 77, 207, 291, 851, 131, 1041, 1657, 4393, 5023, 12745, 32253, 204431, 0};
static int joe_kuo_d6_initial_number20388[] = {1, 1, 7, 15, 11, 59, 85, 255, 67, 23, 1321, 2153, 7043, 417, 15719, 59937, 37619, 109331, 0};
static int joe_kuo_d6_initial_number20389[] = {1, 3, 7, 15, 25, 37, 43, 15, 385, 735, 1741, 3655, 4215, 1097, 19519, 44313, 99851, 204717, 0};
static int joe_kuo_d6_initial_number20390[] = {1, 1, 3, 7, 15, 17, 17, 105, 399, 49, 105, 159, 465, 11991, 29797, 23907, 129609, 179013, 0};
static int joe_kuo_d6_initial_number20391[] = {1, 1, 7, 13, 9, 17, 87, 51, 391, 695, 545, 3061, 4499, 2059, 10095, 13847, 68519, 60611, 0};
static int joe_kuo_d6_initial_number20392[] = {1, 3, 3, 1, 31, 7, 11, 233, 231, 189, 1599, 1589, 401, 8759, 17273, 43613, 48709, 253521, 0};
static int joe_kuo_d6_initial_number20393[] = {1, 1, 1, 11, 5, 9, 27, 77, 491, 951, 579, 1635, 3241, 14497, 27149, 45001, 56769, 160731, 0};
static int joe_kuo_d6_initial_number20394[] = {1, 3, 7, 15, 29, 11, 125, 101, 19, 971, 107, 1525, 3939, 7633, 16355, 24727, 19475, 157571, 0};
static int joe_kuo_d6_initial_number20395[] = {1, 1, 1, 9, 25, 7, 35, 187, 321, 483, 1919, 1911, 7869, 12903, 26977, 49419, 24973, 214731, 0};
static int joe_kuo_d6_initial_number20396[] = {1, 1, 5, 3, 23, 1, 11, 143, 315, 1015, 1367, 1555, 1041, 6655, 10481, 49275, 49575, 101061, 0};
static int joe_kuo_d6_initial_number20397[] = {1, 3, 5, 15, 15, 59, 13, 117, 217, 975, 1821, 3829, 1545, 921, 20875, 43305, 18793, 158651, 0};
static int joe_kuo_d6_initial_number20398[] = {1, 3, 3, 11, 23, 23, 91, 7, 29, 613, 1093, 3881, 3301, 3751, 16137, 48277, 119813, 177341, 0};
static int joe_kuo_d6_initial_number20399[] = {1, 3, 3, 15, 7, 37, 115, 19, 147, 585, 1877, 2395, 3343, 9567, 16199, 13969, 89731, 124835, 0};
static int joe_kuo_d6_initial_number20400[] = {1, 1, 5, 7, 29, 3, 59, 141, 375, 527, 1219, 409, 7155, 2823, 32497, 23103, 73187, 53089, 0};
static int joe_kuo_d6_initial_number20401[] = {1, 1, 5, 3, 13, 27, 111, 63, 189, 813, 643, 19, 3461, 13891, 26651, 52395, 74729, 148397, 0};
static int joe_kuo_d6_initial_number20402[] = {1, 3, 5, 1, 27, 61, 97, 227, 123, 829, 1559, 2523, 7737, 6047, 213, 23613, 61571, 7093, 0};
static int joe_kuo_d6_initial_number20403[] = {1, 1, 1, 11, 17, 1, 73, 203, 391, 937, 321, 3431, 7163, 3547, 29467, 65271, 69775, 226405, 0};
static int joe_kuo_d6_initial_number20404[] = {1, 1, 5, 15, 25, 7, 75, 199, 511, 731, 1547, 2127, 1609, 5623, 26771, 29935, 76671, 178683, 0};
static int joe_kuo_d6_initial_number20405[] = {1, 3, 5, 15, 25, 49, 99, 23, 281, 81, 507, 1499, 5235, 9945, 14099, 5993, 319, 178581, 0};
static int joe_kuo_d6_initial_number20406[] = {1, 3, 7, 9, 5, 13, 105, 7, 135, 827, 927, 3463, 839, 7047, 19863, 63859, 13951, 221795, 0};
static int joe_kuo_d6_initial_number20407[] = {1, 1, 1, 13, 7, 21, 59, 9, 467, 299, 1035, 1395, 7413, 7313, 24769, 44043, 50679, 72867, 0};
static int joe_kuo_d6_initial_number20408[] = {1, 1, 7, 1, 31, 33, 95, 155, 429, 413, 493, 2025, 2069, 551, 507, 13515, 3507, 93873, 0};
static int joe_kuo_d6_initial_number20409[] = {1, 1, 3, 5, 3, 33, 109, 1, 299, 727, 495, 2981, 3795, 11467, 27173, 4171, 6859, 129961, 0};
static int joe_kuo_d6_initial_number20410[] = {1, 1, 7, 9, 23, 41, 113, 103, 161, 303, 1565, 2637, 7113, 11635, 13707, 3559, 21007, 250107, 0};
static int joe_kuo_d6_initial_number20411[] = {1, 1, 5, 13, 1, 49, 11, 87, 31, 77, 1847, 1137, 3031, 1943, 28755, 32197, 96043, 152447, 0};
static int joe_kuo_d6_initial_number20412[] = {1, 1, 3, 7, 3, 3, 123, 65, 175, 809, 681, 2135, 5279, 7119, 4573, 19287, 90235, 183391, 0};
static int joe_kuo_d6_initial_number20413[] = {1, 3, 1, 13, 7, 5, 25, 151, 437, 155, 1841, 219, 5641, 12097, 6153, 11, 60315, 169293, 0};
static int joe_kuo_d6_initial_number20414[] = {1, 1, 7, 5, 21, 29, 23, 83, 35, 651, 1507, 635, 3867, 12133, 25523, 55341, 105741, 240349, 0};
static int joe_kuo_d6_initial_number20415[] = {1, 1, 1, 15, 9, 29, 27, 151, 463, 747, 547, 577, 1263, 15235, 6695, 60849, 72231, 175671, 0};
static int joe_kuo_d6_initial_number20416[] = {1, 3, 5, 11, 11, 43, 81, 37, 505, 509, 1325, 3295, 839, 5855, 19795, 1403, 15711, 219481, 0};
static int joe_kuo_d6_initial_number20417[] = {1, 3, 3, 15, 25, 61, 121, 37, 201, 133, 537, 1345, 4213, 13023, 18795, 8949, 84431, 105521, 0};
static int joe_kuo_d6_initial_number20418[] = {1, 3, 7, 11, 13, 51, 87, 245, 357, 7, 699, 2003, 5963, 1399, 69, 19083, 114585, 232313, 0};
static int joe_kuo_d6_initial_number20419[] = {1, 1, 1, 13, 9, 29, 65, 123, 37, 885, 227, 2795, 1037, 10905, 21217, 4081, 77643, 254245, 0};
static int joe_kuo_d6_initial_number20420[] = {1, 3, 1, 3, 25, 23, 71, 189, 253, 785, 1337, 1275, 3285, 1067, 8607, 3883, 119099, 116637, 0};
static int joe_kuo_d6_initial_number20421[] = {1, 1, 1, 15, 19, 43, 17, 89, 257, 175, 1943, 207, 597, 9279, 405, 33209, 65221, 39557, 0};
static int joe_kuo_d6_initial_number20422[] = {1, 1, 7, 5, 7, 47, 127, 11, 197, 871, 23, 1951, 6829, 7831, 5223, 56287, 115649, 114283, 0};
static int joe_kuo_d6_initial_number20423[] = {1, 3, 1, 3, 1, 35, 81, 189, 19, 117, 1683, 469, 8117, 5449, 22871, 5505, 125111, 128717, 0};
static int joe_kuo_d6_initial_number20424[] = {1, 3, 7, 5, 7, 31, 105, 57, 387, 691, 1293, 3103, 2329, 16247, 18357, 55453, 112633, 225641, 0};
static int joe_kuo_d6_initial_number20425[] = {1, 3, 1, 3, 13, 3, 65, 25, 47, 413, 521, 3507, 1793, 14431, 22341, 39813, 46399, 204501, 0};
static int joe_kuo_d6_initial_number20426[] = {1, 3, 1, 1, 31, 37, 21, 45, 261, 665, 1243, 1937, 5001, 3789, 26473, 20153, 107131, 75523, 0};
static int joe_kuo_d6_initial_number20427[] = {1, 3, 5, 15, 27, 61, 109, 139, 19, 583, 353, 445, 53, 67, 20753, 57827, 116527, 55109, 0};
static int joe_kuo_d6_initial_number20428[] = {1, 1, 3, 3, 1, 37, 113, 21, 305, 967, 1703, 2095, 1059, 2843, 22381, 24871, 24765, 52425, 0};
static int joe_kuo_d6_initial_number20429[] = {1, 3, 7, 11, 27, 59, 111, 111, 283, 79, 1227, 3631, 4169, 5671, 7769, 56553, 75503, 206259, 0};
static int joe_kuo_d6_initial_number20430[] = {1, 1, 5, 11, 11, 1, 127, 13, 17, 255, 1383, 2879, 6785, 289, 7061, 53067, 11539, 131405, 0};
static int joe_kuo_d6_initial_number20431[] = {1, 1, 5, 15, 29, 27, 67, 15, 247, 689, 579, 3237, 5279, 13847, 20305, 60237, 115841, 144855, 0};
static int joe_kuo_d6_initial_number20432[] = {1, 1, 5, 1, 9, 25, 75, 11, 83, 1015, 281, 1617, 7449, 10673, 7033, 38839, 113703, 233101, 0};
static int joe_kuo_d6_initial_number20433[] = {1, 3, 3, 3, 23, 41, 81, 109, 199, 969, 935, 1793, 6921, 4013, 9625, 48149, 54395, 1193, 0};
static int joe_kuo_d6_initial_number20434[] = {1, 3, 5, 7, 19, 63, 25, 201, 63, 799, 765, 533, 1417, 3199, 7773, 44247, 112207, 11783, 0};
static int joe_kuo_d6_initial_number20435[] = {1, 3, 1, 11, 7, 25, 87, 159, 491, 749, 1157, 667, 2951, 12019, 22259, 36933, 124159, 176041, 0};
static int joe_kuo_d6_initial_number20436[] = {1, 1, 5, 15, 21, 19, 113, 175, 129, 385, 2025, 2685, 1925, 8547, 4835, 15953, 128023, 236341, 0};
static int joe_kuo_d6_initial_number20437[] = {1, 1, 1, 9, 13, 47, 25, 81, 389, 249, 1857, 1061, 4439, 3717, 16299, 23247, 95275, 222701, 0};
static int joe_kuo_d6_initial_number20438[] = {1, 3, 3, 1, 3, 61, 61, 117, 159, 689, 43, 113, 4203, 7699, 27607, 37195, 63415, 90481, 0};
static int joe_kuo_d6_initial_number20439[] = {1, 3, 1, 5, 11, 49, 73, 13, 307, 655, 645, 2765, 6079, 12687, 22417, 44713, 5247, 40265, 0};
static int joe_kuo_d6_initial_number20440[] = {1, 1, 7, 13, 5, 55, 57, 237, 317, 101, 481, 2515, 707, 6385, 9421, 50557, 92395, 193737, 0};
static int joe_kuo_d6_initial_number20441[] = {1, 3, 5, 1, 27, 35, 65, 107, 63, 57, 1699, 4077, 4279, 8547, 15137, 11533, 117641, 64925, 0};
static int joe_kuo_d6_initial_number20442[] = {1, 1, 5, 1, 13, 7, 7, 141, 305, 191, 2033, 2677, 6025, 12927, 4057, 12047, 60253, 90803, 0};
static int joe_kuo_d6_initial_number20443[] = {1, 1, 7, 3, 1, 9, 63, 233, 185, 97, 913, 187, 4321, 8951, 27669, 27035, 30029, 218725, 0};
static int joe_kuo_d6_initial_number20444[] = {1, 1, 7, 1, 11, 59, 41, 195, 335, 551, 491, 3079, 7777, 4003, 24543, 17165, 103261, 167505, 0};
static int joe_kuo_d6_initial_number20445[] = {1, 1, 3, 3, 9, 59, 37, 185, 289, 845, 1083, 63, 7439, 4677, 29245, 40813, 16295, 45499, 0};
static int joe_kuo_d6_initial_number20446[] = {1, 3, 5, 1, 1, 37, 89, 5, 277, 493, 155, 1641, 5395, 11389, 26247, 2833, 103803, 74447, 0};
static int joe_kuo_d6_initial_number20447[] = {1, 1, 3, 1, 29, 55, 83, 211, 377, 583, 1075, 2679, 7157, 11719, 1653, 5977, 52263, 45531, 0};
static int joe_kuo_d6_initial_number20448[] = {1, 1, 5, 15, 1, 31, 89, 7, 239, 821, 887, 1319, 225, 14555, 5443, 44717, 99803, 241577, 0};
static int joe_kuo_d6_initial_number20449[] = {1, 3, 5, 11, 7, 23, 81, 161, 67, 1011, 177, 2837, 7767, 14385, 29415, 9377, 7407, 128403, 0};
static int joe_kuo_d6_initial_number20450[] = {1, 1, 7, 11, 3, 13, 13, 237, 199, 601, 481, 3809, 6591, 8497, 25361, 22547, 28317, 22961, 0};
static int joe_kuo_d6_initial_number20451[] = {1, 3, 1, 1, 31, 29, 105, 161, 483, 391, 321, 1087, 4149, 8803, 22291, 24611, 114447, 33645, 0};
static int joe_kuo_d6_initial_number20452[] = {1, 3, 1, 11, 1, 47, 41, 45, 287, 503, 169, 2265, 1835, 6609, 25245, 7069, 61137, 160653, 0};
static int joe_kuo_d6_initial_number20453[] = {1, 1, 7, 13, 11, 39, 29, 39, 489, 205, 741, 2871, 377, 10679, 11689, 50947, 85309, 95697, 0};
static int joe_kuo_d6_initial_number20454[] = {1, 3, 7, 7, 23, 19, 103, 15, 79, 425, 369, 2009, 4417, 11031, 2113, 36969, 73241, 120903, 0};
static int joe_kuo_d6_initial_number20455[] = {1, 3, 1, 7, 27, 9, 43, 33, 123, 895, 223, 1045, 2701, 3339, 12099, 24449, 52973, 175671, 0};
static int joe_kuo_d6_initial_number20456[] = {1, 3, 5, 5, 3, 1, 13, 117, 429, 167, 1361, 2299, 7565, 1153, 9259, 29209, 25747, 71005, 0};
static int joe_kuo_d6_initial_number20457[] = {1, 3, 1, 15, 7, 7, 13, 209, 73, 523, 1549, 2545, 5583, 10209, 27205, 41243, 14217, 208993, 0};
static int joe_kuo_d6_initial_number20458[] = {1, 3, 5, 5, 3, 29, 99, 255, 479, 297, 1319, 2171, 7321, 14425, 15869, 44449, 10917, 171165, 0};
static int joe_kuo_d6_initial_number20459[] = {1, 3, 3, 11, 13, 49, 29, 95, 79, 987, 161, 859, 6503, 8839, 14131, 30249, 16183, 40257, 0};
static int joe_kuo_d6_initial_number20460[] = {1, 3, 3, 11, 27, 7, 27, 33, 255, 847, 789, 3897, 2599, 16107, 22379, 1853, 102713, 197547, 0};
static int joe_kuo_d6_initial_number20461[] = {1, 1, 3, 9, 29, 11, 107, 227, 35, 183, 639, 1585, 313, 1451, 19789, 13855, 94277, 85569, 0};
static int joe_kuo_d6_initial_number20462[] = {1, 3, 7, 7, 25, 33, 101, 49, 137, 457, 2027, 3317, 1961, 6097, 739, 12875, 69503, 95453, 0};
static int joe_kuo_d6_initial_number20463[] = {1, 3, 3, 11, 29, 13, 127, 3, 31, 319, 1341, 927, 5067, 13891, 31265, 41381, 49341, 160343, 0};
static int joe_kuo_d6_initial_number20464[] = {1, 1, 3, 15, 31, 21, 93, 155, 471, 707, 1395, 2995, 867, 10353, 8137, 44267, 24823, 6113, 0};
static int joe_kuo_d6_initial_number20465[] = {1, 3, 1, 7, 7, 33, 83, 79, 349, 687, 1045, 1183, 4441, 15199, 1953, 36395, 84691, 134939, 0};
static int joe_kuo_d6_initial_number20466[] = {1, 1, 3, 15, 13, 21, 41, 105, 189, 439, 1171, 4005, 7641, 1597, 24317, 58749, 35539, 220647, 0};
static int joe_kuo_d6_initial_number20467[] = {1, 1, 3, 15, 13, 39, 49, 5, 461, 613, 1633, 1951, 7959, 5733, 10061, 18829, 49505, 90033, 0};
static int joe_kuo_d6_initial_number20468[] = {1, 3, 5, 5, 29, 25, 19, 227, 379, 525, 687, 2629, 7729, 4791, 5911, 14481, 49063, 216669, 0};
static int joe_kuo_d6_initial_number20469[] = {1, 3, 7, 7, 7, 63, 93, 227, 79, 165, 1971, 1695, 4485, 6009, 8769, 12861, 83653, 27667, 0};
static int joe_kuo_d6_initial_number20470[] = {1, 1, 5, 5, 25, 11, 23, 89, 363, 491, 459, 4063, 3787, 9375, 28011, 44757, 56441, 116609, 0};
static int joe_kuo_d6_initial_number20471[] = {1, 3, 5, 9, 7, 53, 43, 149, 435, 35, 135, 1759, 3197, 7749, 12731, 28295, 25901, 125847, 0};
static int joe_kuo_d6_initial_number20472[] = {1, 1, 3, 5, 15, 15, 1, 215, 307, 711, 1971, 2795, 677, 11921, 10303, 37997, 6653, 51295, 0};
static int joe_kuo_d6_initial_number20473[] = {1, 1, 5, 15, 1, 59, 75, 195, 51, 215, 1303, 3023, 8023, 10951, 13015, 23513, 37029, 23581, 0};
static int joe_kuo_d6_initial_number20474[] = {1, 1, 1, 3, 27, 3, 77, 165, 97, 499, 937, 1129, 6649, 11305, 27763, 32849, 78251, 210407, 0};
static int joe_kuo_d6_initial_number20475[] = {1, 3, 3, 3, 9, 21, 19, 197, 339, 53, 1875, 1057, 3485, 14645, 13417, 39307, 81437, 45857, 0};
static int joe_kuo_d6_initial_number20476[] = {1, 1, 1, 5, 19, 5, 95, 205, 399, 699, 819, 1927, 7913, 8109, 1223, 28595, 397, 81051, 0};
static int joe_kuo_d6_initial_number20477[] = {1, 3, 7, 13, 23, 11, 37, 167, 189, 813, 1199, 3545, 655, 13239, 10469, 33895, 119025, 185361, 0};
static int joe_kuo_d6_initial_number20478[] = {1, 1, 5, 11, 9, 13, 41, 37, 443, 269, 1199, 1347, 7081, 11273, 14389, 64083, 117901, 51903, 0};
static int joe_kuo_d6_initial_number20479[] = {1, 1, 3, 13, 5, 17, 117, 151, 155, 637, 731, 1839, 855, 9749, 19529, 18101, 20341, 21941, 0};
static int joe_kuo_d6_initial_number20480[] = {1, 1, 1, 11, 15, 17, 35, 9, 91, 907, 667, 853, 1455, 10097, 31277, 749, 47089, 219517, 0};
static int joe_kuo_d6_initial_number20481[] = {1, 3, 7, 1, 27, 31, 9, 145, 309, 811, 5, 2645, 7851, 1953, 21427, 18805, 108755, 77215, 0};
static int joe_kuo_d6_initial_number20482[] = {1, 1, 7, 3, 21, 7, 25, 233, 145, 1015, 43, 2205, 4735, 13257, 24001, 50469, 42567, 253745, 0};
static int joe_kuo_d6_initial_number20483[] = {1, 3, 1, 15, 3, 53, 51, 45, 397, 379, 641, 895, 7569, 15783, 23923, 6147, 121395, 261853, 0};
static int joe_kuo_d6_initial_number20484[] = {1, 1, 1, 1, 23, 47, 35, 125, 289, 65, 1875, 2309, 519, 5435, 5271, 25319, 14557, 19389, 0};
static int joe_kuo_d6_initial_number20485[] = {1, 3, 5, 7, 27, 43, 15, 61, 357, 791, 1781, 3671, 3911, 1325, 5607, 44107, 67873, 119849, 0};
static int joe_kuo_d6_initial_number20486[] = {1, 3, 1, 5, 25, 37, 105, 51, 491, 407, 475, 1763, 1425, 14883, 31435, 48979, 120667, 131089, 0};
static int joe_kuo_d6_initial_number20487[] = {1, 3, 5, 13, 1, 51, 109, 161, 215, 871, 185, 2389, 7977, 6705, 14045, 45569, 44557, 114795, 0};
static int joe_kuo_d6_initial_number20488[] = {1, 3, 7, 11, 17, 21, 111, 183, 343, 593, 447, 3995, 759, 3709, 32655, 30141, 127225, 120899, 0};
static int joe_kuo_d6_initial_number20489[] = {1, 1, 5, 3, 17, 3, 69, 25, 113, 897, 1933, 2717, 2003, 5847, 2541, 62415, 50975, 97903, 0};
static int joe_kuo_d6_initial_number20490[] = {1, 1, 1, 1, 9, 35, 107, 81, 257, 57, 1719, 4049, 1237, 10659, 4689, 20887, 90791, 251911, 0};
static int joe_kuo_d6_initial_number20491[] = {1, 1, 7, 11, 1, 49, 83, 213, 169, 169, 825, 2983, 5833, 2413, 32165, 47459, 129021, 156217, 0};
static int joe_kuo_d6_initial_number20492[] = {1, 1, 5, 13, 15, 39, 61, 93, 407, 553, 839, 4035, 6609, 6327, 945, 49625, 127867, 240161, 0};
static int joe_kuo_d6_initial_number20493[] = {1, 1, 1, 15, 23, 47, 21, 235, 81, 431, 1819, 1141, 7973, 4623, 4539, 23201, 83111, 230857, 0};
static int joe_kuo_d6_initial_number20494[] = {1, 3, 3, 15, 9, 15, 15, 173, 29, 803, 1453, 2621, 8095, 6639, 6607, 21471, 44785, 122271, 0};
static int joe_kuo_d6_initial_number20495[] = {1, 3, 3, 7, 21, 5, 127, 203, 43, 581, 1925, 165, 4615, 9141, 18563, 54413, 71559, 172791, 0};
static int joe_kuo_d6_initial_number20496[] = {1, 3, 3, 3, 27, 31, 55, 3, 381, 971, 1087, 2659, 139, 10935, 9189, 3445, 15071, 218873, 0};
static int joe_kuo_d6_initial_number20497[] = {1, 3, 1, 3, 1, 57, 47, 71, 85, 335, 207, 225, 2931, 14721, 21431, 17199, 745, 177403, 0};
static int joe_kuo_d6_initial_number20498[] = {1, 3, 1, 7, 7, 17, 21, 57, 345, 29, 1147, 1179, 7371, 14725, 27445, 62061, 16483, 112489, 0};
static int joe_kuo_d6_initial_number20499[] = {1, 3, 7, 15, 23, 11, 91, 1, 1, 117, 1665, 3899, 5683, 14497, 25633, 6233, 104029, 22155, 0};
static int joe_kuo_d6_initial_number20500[] = {1, 3, 5, 9, 1, 27, 15, 187, 37, 329, 585, 729, 5651, 15715, 4339, 1899, 90611, 195643, 0};
static int joe_kuo_d6_initial_number20501[] = {1, 1, 3, 11, 1, 45, 95, 103, 13, 83, 319, 2295, 6333, 13469, 19237, 55985, 129725, 141699, 0};
static int joe_kuo_d6_initial_number20502[] = {1, 1, 5, 11, 7, 41, 97, 159, 511, 617, 1545, 3023, 7919, 8437, 8345, 16701, 69053, 105047, 0};
static int joe_kuo_d6_initial_number20503[] = {1, 3, 3, 11, 29, 35, 23, 95, 277, 931, 857, 3887, 4597, 10841, 12947, 18009, 61499, 242827, 0};
static int joe_kuo_d6_initial_number20504[] = {1, 1, 3, 3, 7, 63, 35, 161, 125, 637, 149, 1045, 3297, 16213, 1543, 8073, 80373, 61507, 0};
static int joe_kuo_d6_initial_number20505[] = {1, 1, 7, 5, 31, 43, 113, 189, 181, 659, 1971, 3309, 4237, 4279, 31563, 29429, 17443, 154385, 0};
static int joe_kuo_d6_initial_number20506[] = {1, 1, 1, 13, 19, 43, 99, 91, 47, 477, 153, 3295, 6281, 779, 17169, 343, 1723, 171133, 0};
static int joe_kuo_d6_initial_number20507[] = {1, 1, 1, 15, 9, 35, 123, 45, 417, 631, 1415, 1835, 3063, 897, 18947, 62477, 12759, 97831, 0};
static int joe_kuo_d6_initial_number20508[] = {1, 1, 3, 13, 31, 1, 31, 139, 411, 605, 1829, 303, 3891, 15807, 7335, 44833, 87427, 62183, 0};
static int joe_kuo_d6_initial_number20509[] = {1, 1, 3, 13, 29, 55, 97, 107, 241, 981, 1281, 3295, 6825, 15865, 4221, 24695, 54203, 252069, 0};
static int joe_kuo_d6_initial_number20510[] = {1, 3, 7, 13, 1, 3, 33, 165, 483, 813, 127, 1717, 8077, 3521, 23465, 41705, 2769, 173233, 0};
static int joe_kuo_d6_initial_number20511[] = {1, 3, 1, 11, 11, 51, 39, 125, 375, 825, 1775, 2923, 4903, 4779, 907, 47787, 22293, 169631, 0};
static int joe_kuo_d6_initial_number20512[] = {1, 3, 5, 5, 13, 27, 43, 229, 267, 153, 567, 3403, 2103, 6203, 29629, 29715, 116735, 122515, 0};
static int joe_kuo_d6_initial_number20513[] = {1, 3, 5, 13, 3, 3, 15, 5, 345, 343, 691, 3703, 361, 2019, 9309, 26909, 22897, 103555, 0};
static int joe_kuo_d6_initial_number20514[] = {1, 3, 1, 11, 9, 25, 123, 235, 131, 469, 1749, 3681, 3841, 10157, 15183, 61413, 42207, 170359, 0};
static int joe_kuo_d6_initial_number20515[] = {1, 1, 7, 3, 13, 9, 7, 191, 239, 417, 817, 1381, 1179, 2719, 21025, 17429, 50295, 196485, 0};
static int joe_kuo_d6_initial_number20516[] = {1, 1, 7, 9, 9, 31, 123, 229, 381, 569, 513, 1617, 6141, 9717, 31769, 30159, 113697, 254237, 0};
static int joe_kuo_d6_initial_number20517[] = {1, 1, 1, 15, 31, 43, 37, 17, 283, 905, 297, 1317, 1883, 11313, 5653, 55655, 121029, 149831, 0};
static int joe_kuo_d6_initial_number20518[] = {1, 1, 1, 7, 7, 47, 83, 101, 497, 465, 1133, 3877, 5371, 3355, 17161, 50185, 120837, 255103, 0};
static int joe_kuo_d6_initial_number20519[] = {1, 1, 3, 5, 5, 19, 3, 251, 433, 303, 1193, 1263, 2139, 473, 10725, 57725, 111411, 133687, 0};
static int joe_kuo_d6_initial_number20520[] = {1, 1, 1, 7, 3, 1, 99, 115, 481, 395, 115, 1699, 953, 2807, 7227, 52781, 2855, 161159, 0};
static int joe_kuo_d6_initial_number20521[] = {1, 1, 5, 9, 25, 25, 85, 3, 451, 847, 837, 3669, 4717, 3661, 29111, 43735, 49445, 100379, 0};
static int joe_kuo_d6_initial_number20522[] = {1, 1, 7, 9, 19, 61, 67, 123, 195, 483, 1741, 2719, 7809, 5035, 30689, 21325, 56191, 46127, 0};
static int joe_kuo_d6_initial_number20523[] = {1, 1, 3, 11, 15, 39, 101, 27, 103, 807, 1557, 1647, 1285, 16169, 20203, 57153, 60749, 71361, 0};
static int joe_kuo_d6_initial_number20524[] = {1, 3, 3, 3, 19, 1, 93, 31, 105, 925, 689, 3061, 7451, 12667, 27179, 36295, 61011, 90321, 0};
static int joe_kuo_d6_initial_number20525[] = {1, 3, 7, 15, 19, 35, 47, 241, 261, 935, 1033, 751, 6519, 6911, 13519, 2539, 40285, 81535, 0};
static int joe_kuo_d6_initial_number20526[] = {1, 1, 7, 13, 17, 31, 71, 135, 167, 5, 673, 2909, 4377, 3453, 31289, 38081, 21993, 192933, 0};
static int joe_kuo_d6_initial_number20527[] = {1, 1, 5, 15, 23, 49, 85, 127, 13, 849, 1661, 2099, 3479, 3613, 21723, 58147, 56321, 203171, 0};
static int joe_kuo_d6_initial_number20528[] = {1, 1, 7, 15, 23, 63, 3, 207, 445, 573, 1419, 1161, 2237, 1251, 23387, 65259, 81447, 74555, 0};
static int joe_kuo_d6_initial_number20529[] = {1, 3, 5, 3, 25, 61, 37, 25, 287, 969, 37, 1615, 7923, 4457, 27611, 8519, 113957, 237427, 0};
static int joe_kuo_d6_initial_number20530[] = {1, 3, 5, 11, 11, 25, 117, 169, 149, 701, 139, 2835, 6029, 9067, 841, 51707, 9287, 115825, 0};
static int joe_kuo_d6_initial_number20531[] = {1, 1, 1, 13, 31, 5, 9, 5, 313, 1023, 551, 3635, 6765, 13379, 29135, 39737, 80913, 256355, 0};
static int joe_kuo_d6_initial_number20532[] = {1, 3, 1, 13, 9, 23, 105, 117, 181, 211, 755, 555, 2763, 13965, 14743, 63725, 16377, 203435, 0};
static int joe_kuo_d6_initial_number20533[] = {1, 3, 1, 15, 11, 45, 111, 147, 471, 321, 381, 2921, 6423, 629, 25117, 51213, 126941, 181931, 0};
static int joe_kuo_d6_initial_number20534[] = {1, 1, 1, 11, 1, 49, 127, 105, 315, 1, 859, 1223, 5967, 2521, 14491, 58399, 45155, 192567, 0};
static int joe_kuo_d6_initial_number20535[] = {1, 1, 3, 9, 19, 21, 73, 93, 95, 307, 293, 3243, 4765, 2253, 16775, 29861, 3785, 90357, 0};
static int joe_kuo_d6_initial_number20536[] = {1, 1, 3, 7, 3, 53, 33, 167, 165, 509, 1133, 169, 6951, 7715, 26317, 5249, 86235, 39649, 0};
static int joe_kuo_d6_initial_number20537[] = {1, 1, 5, 5, 3, 47, 105, 89, 201, 1003, 877, 635, 2225, 6391, 21247, 5707, 1233, 87055, 0};
static int joe_kuo_d6_initial_number20538[] = {1, 1, 1, 1, 9, 39, 61, 201, 435, 843, 1245, 533, 1757, 1117, 19687, 54817, 32495, 228865, 0};
static int joe_kuo_d6_initial_number20539[] = {1, 3, 1, 1, 3, 61, 63, 117, 143, 217, 435, 1977, 2647, 7631, 12969, 50211, 26483, 256329, 0};
static int joe_kuo_d6_initial_number20540[] = {1, 3, 3, 9, 21, 25, 113, 243, 457, 143, 833, 1505, 3071, 1845, 17867, 58205, 103819, 185215, 0};
static int joe_kuo_d6_initial_number20541[] = {1, 1, 5, 7, 23, 51, 11, 117, 195, 535, 685, 31, 3037, 9719, 22811, 42959, 21021, 126297, 0};
static int joe_kuo_d6_initial_number20542[] = {1, 3, 3, 1, 1, 17, 107, 245, 257, 547, 887, 45, 5243, 2439, 22191, 19503, 2143, 75187, 0};
static int joe_kuo_d6_initial_number20543[] = {1, 3, 7, 9, 11, 27, 123, 197, 353, 151, 1115, 403, 1105, 7425, 7463, 42065, 116187, 154537, 0};
static int joe_kuo_d6_initial_number20544[] = {1, 3, 5, 15, 23, 5, 49, 177, 223, 615, 1255, 2081, 321, 8733, 19549, 53027, 275, 62739, 0};
static int joe_kuo_d6_initial_number20545[] = {1, 3, 7, 1, 17, 61, 3, 233, 249, 763, 369, 555, 1621, 7221, 22575, 13295, 99793, 233635, 0};
static int joe_kuo_d6_initial_number20546[] = {1, 1, 3, 1, 27, 41, 125, 113, 47, 583, 543, 453, 1213, 14187, 1645, 35761, 110051, 197081, 0};
static int joe_kuo_d6_initial_number20547[] = {1, 1, 7, 9, 29, 43, 105, 125, 489, 135, 153, 2279, 4079, 6731, 12055, 60181, 82563, 173991, 0};
static int joe_kuo_d6_initial_number20548[] = {1, 3, 7, 3, 29, 1, 67, 151, 127, 625, 113, 2127, 6723, 12359, 28609, 60605, 20375, 120129, 0};
static int joe_kuo_d6_initial_number20549[] = {1, 1, 5, 7, 9, 13, 27, 171, 129, 199, 303, 4045, 2047, 8887, 22233, 57571, 40545, 36479, 0};
static int joe_kuo_d6_initial_number20550[] = {1, 3, 1, 7, 1, 5, 127, 203, 213, 691, 1155, 27, 5409, 13519, 6747, 42371, 37089, 145855, 0};
static int joe_kuo_d6_initial_number20551[] = {1, 3, 3, 9, 3, 33, 119, 25, 337, 715, 1093, 987, 7157, 14975, 28595, 19021, 1243, 148707, 0};
static int joe_kuo_d6_initial_number20552[] = {1, 3, 1, 13, 3, 41, 81, 151, 23, 787, 181, 2357, 5077, 1997, 6451, 25505, 44875, 198341, 0};
static int joe_kuo_d6_initial_number20553[] = {1, 1, 7, 3, 5, 15, 9, 169, 337, 487, 1325, 1505, 465, 2339, 20747, 8269, 96875, 108985, 0};
static int joe_kuo_d6_initial_number20554[] = {1, 3, 1, 7, 23, 7, 113, 181, 25, 989, 1649, 1, 823, 6793, 18729, 3599, 97951, 239609, 0};
static int joe_kuo_d6_initial_number20555[] = {1, 3, 7, 7, 3, 63, 63, 207, 419, 355, 1133, 2979, 2071, 11699, 32565, 61347, 106475, 16893, 0};
static int joe_kuo_d6_initial_number20556[] = {1, 1, 7, 5, 7, 3, 119, 133, 189, 341, 1571, 1559, 4309, 16203, 22459, 21019, 80375, 3453, 0};
static int joe_kuo_d6_initial_number20557[] = {1, 1, 3, 11, 21, 21, 45, 69, 485, 21, 727, 703, 5209, 14745, 3437, 54603, 104357, 151207, 0};
static int joe_kuo_d6_initial_number20558[] = {1, 3, 7, 5, 25, 17, 13, 147, 329, 93, 121, 315, 2779, 6921, 425, 50441, 1133, 252291, 0};
static int joe_kuo_d6_initial_number20559[] = {1, 1, 3, 5, 5, 51, 15, 135, 323, 841, 409, 1067, 3243, 4207, 6833, 59329, 90545, 116661, 0};
static int joe_kuo_d6_initial_number20560[] = {1, 1, 3, 15, 25, 7, 43, 147, 153, 947, 79, 1897, 4519, 14441, 27181, 38517, 71673, 158597, 0};
static int joe_kuo_d6_initial_number20561[] = {1, 3, 3, 3, 3, 47, 109, 111, 273, 271, 741, 3999, 649, 7367, 14933, 11785, 92709, 133815, 0};
static int joe_kuo_d6_initial_number20562[] = {1, 1, 3, 13, 5, 41, 55, 15, 409, 355, 1255, 3043, 7503, 3523, 4261, 48927, 119901, 149411, 0};
static int joe_kuo_d6_initial_number20563[] = {1, 1, 5, 1, 11, 57, 3, 149, 409, 287, 909, 3541, 4243, 4485, 3611, 63213, 102575, 49863, 0};
static int joe_kuo_d6_initial_number20564[] = {1, 1, 3, 7, 15, 55, 119, 185, 511, 301, 237, 3701, 3195, 1323, 27511, 44635, 45363, 117683, 0};
static int joe_kuo_d6_initial_number20565[] = {1, 3, 3, 11, 3, 61, 125, 15, 235, 819, 467, 1097, 1055, 16343, 8329, 37807, 38663, 145625, 0};
static int joe_kuo_d6_initial_number20566[] = {1, 1, 7, 1, 25, 49, 117, 163, 413, 509, 63, 1313, 5113, 6505, 25475, 12059, 88021, 168037, 0};
static int joe_kuo_d6_initial_number20567[] = {1, 3, 3, 9, 9, 37, 15, 185, 359, 231, 1483, 2999, 773, 10375, 27103, 39899, 100187, 54485, 0};
static int joe_kuo_d6_initial_number20568[] = {1, 3, 3, 1, 13, 63, 111, 79, 133, 425, 1491, 3735, 533, 13417, 5161, 11455, 16907, 132267, 0};
static int joe_kuo_d6_initial_number20569[] = {1, 3, 1, 15, 15, 47, 57, 157, 453, 681, 1811, 1685, 4329, 131, 22763, 1017, 66637, 1673, 0};
static int joe_kuo_d6_initial_number20570[] = {1, 3, 7, 3, 31, 5, 105, 101, 431, 983, 1333, 845, 7369, 15041, 6527, 8617, 61911, 137513, 0};
static int joe_kuo_d6_initial_number20571[] = {1, 3, 7, 15, 3, 45, 57, 23, 393, 495, 769, 215, 3611, 12907, 20637, 52997, 88345, 37961, 0};
static int joe_kuo_d6_initial_number20572[] = {1, 3, 5, 7, 31, 3, 85, 249, 353, 559, 1803, 959, 4625, 9413, 22339, 6071, 124765, 43973, 0};
static int joe_kuo_d6_initial_number20573[] = {1, 3, 1, 9, 31, 15, 109, 197, 179, 293, 457, 709, 627, 7743, 1997, 59625, 36919, 252849, 0};
static int joe_kuo_d6_initial_number20574[] = {1, 1, 7, 11, 17, 21, 89, 11, 431, 617, 1029, 2649, 1725, 2723, 18367, 46103, 108063, 221855, 0};
static int joe_kuo_d6_initial_number20575[] = {1, 3, 7, 1, 29, 7, 81, 187, 353, 807, 965, 3655, 3255, 9139, 28619, 32127, 107901, 139099, 0};
static int joe_kuo_d6_initial_number20576[] = {1, 1, 5, 3, 17, 9, 39, 59, 431, 829, 525, 1885, 2387, 13381, 5271, 29739, 80413, 240595, 0};
static int joe_kuo_d6_initial_number20577[] = {1, 3, 1, 5, 1, 5, 25, 9, 193, 971, 681, 2921, 3271, 3891, 20123, 37477, 33141, 82481, 0};
static int joe_kuo_d6_initial_number20578[] = {1, 1, 3, 5, 1, 63, 77, 93, 63, 399, 1945, 387, 5457, 7339, 13279, 34119, 129903, 12621, 0};
static int joe_kuo_d6_initial_number20579[] = {1, 3, 3, 11, 17, 11, 117, 189, 473, 23, 13, 1261, 2153, 12181, 21075, 33179, 43355, 168293, 0};
static int joe_kuo_d6_initial_number20580[] = {1, 3, 5, 11, 21, 13, 73, 227, 211, 939, 885, 2091, 1123, 14809, 15705, 56675, 58087, 1451, 0};
static int joe_kuo_d6_initial_number20581[] = {1, 3, 7, 1, 15, 15, 101, 235, 287, 675, 1741, 3885, 6211, 14817, 10235, 29289, 60401, 27639, 0};
static int joe_kuo_d6_initial_number20582[] = {1, 3, 5, 13, 13, 7, 117, 31, 143, 505, 1823, 2841, 2133, 7305, 14093, 14229, 85179, 136793, 0};
static int joe_kuo_d6_initial_number20583[] = {1, 1, 3, 15, 27, 15, 67, 237, 315, 793, 207, 3781, 5201, 13191, 9601, 44041, 116097, 178543, 0};
static int joe_kuo_d6_initial_number20584[] = {1, 3, 1, 9, 9, 47, 53, 225, 109, 831, 1757, 349, 6353, 15417, 16395, 36295, 10901, 122349, 0};
static int joe_kuo_d6_initial_number20585[] = {1, 1, 1, 1, 1, 17, 109, 13, 123, 537, 1859, 3717, 4441, 4271, 29017, 13601, 18533, 216695, 0};
static int joe_kuo_d6_initial_number20586[] = {1, 3, 3, 13, 31, 23, 45, 233, 29, 295, 761, 757, 777, 3499, 26715, 24153, 113777, 256337, 0};
static int joe_kuo_d6_initial_number20587[] = {1, 3, 5, 7, 23, 57, 37, 179, 511, 897, 2031, 1285, 3957, 15085, 19993, 28819, 39959, 187445, 0};
static int joe_kuo_d6_initial_number20588[] = {1, 3, 1, 15, 25, 41, 121, 227, 433, 859, 357, 3107, 3241, 879, 10763, 59473, 73145, 258493, 0};
static int joe_kuo_d6_initial_number20589[] = {1, 3, 3, 5, 13, 9, 85, 117, 347, 161, 995, 549, 5443, 9057, 28931, 57549, 27523, 54717, 0};
static int joe_kuo_d6_initial_number20590[] = {1, 1, 5, 13, 13, 33, 97, 37, 55, 367, 403, 2361, 5717, 4433, 26921, 14227, 69445, 100337, 0};
static int joe_kuo_d6_initial_number20591[] = {1, 3, 5, 7, 1, 41, 89, 165, 163, 1, 685, 3577, 1079, 1057, 125, 35853, 8387, 113035, 0};
static int joe_kuo_d6_initial_number20592[] = {1, 3, 3, 13, 3, 59, 119, 51, 325, 205, 821, 1417, 2097, 13725, 31785, 53803, 15737, 2013, 0};
static int joe_kuo_d6_initial_number20593[] = {1, 3, 7, 7, 1, 45, 95, 221, 249, 65, 1479, 2163, 5761, 15321, 8013, 25771, 110897, 214127, 0};
static int joe_kuo_d6_initial_number20594[] = {1, 3, 3, 5, 25, 11, 27, 29, 95, 955, 1989, 3775, 609, 7073, 4571, 38857, 92205, 156209, 0};
static int joe_kuo_d6_initial_number20595[] = {1, 3, 1, 13, 29, 57, 97, 47, 499, 641, 587, 2125, 2257, 13911, 13993, 1715, 46233, 181279, 0};
static int joe_kuo_d6_initial_number20596[] = {1, 1, 7, 13, 7, 55, 69, 235, 379, 269, 1969, 2733, 3677, 1707, 26999, 64041, 98111, 138691, 0};
static int joe_kuo_d6_initial_number20597[] = {1, 1, 3, 5, 27, 63, 65, 251, 413, 903, 1307, 2941, 5649, 11271, 1935, 49389, 37995, 218197, 0};
static int joe_kuo_d6_initial_number20598[] = {1, 3, 3, 13, 7, 1, 45, 225, 13, 169, 581, 1657, 117, 10251, 23435, 40379, 127085, 88185, 0};
static int joe_kuo_d6_initial_number20599[] = {1, 1, 7, 5, 21, 63, 69, 37, 459, 115, 1403, 1939, 6437, 13149, 3597, 50115, 129075, 260613, 0};
static int joe_kuo_d6_initial_number20600[] = {1, 1, 3, 5, 29, 57, 15, 223, 131, 907, 1561, 1103, 4355, 2763, 6359, 55401, 1751, 53143, 0};
static int joe_kuo_d6_initial_number20601[] = {1, 1, 7, 11, 15, 5, 17, 159, 505, 407, 1873, 2501, 2203, 12559, 5123, 53281, 29307, 16215, 0};
static int joe_kuo_d6_initial_number20602[] = {1, 1, 1, 15, 9, 41, 77, 145, 325, 529, 1939, 3835, 3109, 12215, 18323, 2551, 89793, 94745, 0};
static int joe_kuo_d6_initial_number20603[] = {1, 3, 1, 9, 21, 5, 7, 57, 99, 1005, 1211, 4063, 6851, 7653, 29283, 15463, 121289, 187055, 0};
static int joe_kuo_d6_initial_number20604[] = {1, 1, 3, 3, 13, 11, 17, 125, 173, 283, 1419, 2533, 6875, 16031, 26633, 51027, 27343, 74257, 0};
static int joe_kuo_d6_initial_number20605[] = {1, 1, 3, 11, 29, 49, 87, 19, 367, 941, 983, 1041, 8099, 8735, 30123, 62665, 87051, 98745, 0};
static int joe_kuo_d6_initial_number20606[] = {1, 1, 1, 15, 25, 57, 97, 177, 467, 181, 923, 3833, 5405, 14335, 23495, 48323, 70331, 136825, 0};
static int joe_kuo_d6_initial_number20607[] = {1, 1, 1, 13, 21, 17, 29, 237, 305, 117, 1077, 2999, 1879, 6875, 19321, 10999, 130513, 160883, 0};
static int joe_kuo_d6_initial_number20608[] = {1, 3, 7, 15, 19, 47, 89, 153, 287, 7, 1429, 1507, 2853, 4197, 11195, 33891, 59063, 189601, 0};
static int joe_kuo_d6_initial_number20609[] = {1, 1, 3, 15, 31, 5, 113, 71, 13, 925, 147, 451, 5701, 13671, 13943, 13799, 59627, 115715, 0};
static int joe_kuo_d6_initial_number20610[] = {1, 1, 1, 5, 13, 25, 51, 11, 409, 393, 1479, 2583, 3101, 303, 17609, 10653, 69107, 150459, 0};
static int joe_kuo_d6_initial_number20611[] = {1, 1, 5, 7, 21, 27, 107, 77, 61, 467, 1723, 1247, 287, 1039, 25347, 18111, 24837, 42903, 0};
static int joe_kuo_d6_initial_number20612[] = {1, 3, 5, 5, 1, 29, 57, 177, 311, 9, 819, 3235, 3887, 9679, 11849, 31755, 68467, 135587, 0};
static int joe_kuo_d6_initial_number20613[] = {1, 1, 5, 5, 29, 15, 13, 69, 163, 709, 1405, 3835, 777, 7567, 10153, 5043, 129465, 59113, 0};
static int joe_kuo_d6_initial_number20614[] = {1, 1, 1, 13, 3, 47, 97, 101, 179, 53, 1919, 17, 3597, 11769, 17971, 39257, 76167, 255653, 0};
static int joe_kuo_d6_initial_number20615[] = {1, 1, 7, 5, 1, 45, 121, 223, 299, 271, 1857, 1955, 5509, 1245, 9519, 60547, 78497, 191251, 0};
static int joe_kuo_d6_initial_number20616[] = {1, 1, 1, 11, 5, 57, 87, 113, 59, 547, 1591, 1905, 475, 4687, 27591, 43807, 9617, 70769, 0};
static int joe_kuo_d6_initial_number20617[] = {1, 1, 7, 1, 1, 35, 35, 11, 107, 401, 827, 2271, 2131, 12751, 25771, 51311, 46897, 198655, 0};
static int joe_kuo_d6_initial_number20618[] = {1, 3, 3, 3, 15, 29, 91, 147, 9, 611, 1739, 3211, 3883, 14205, 24073, 37445, 54451, 208123, 0};
static int joe_kuo_d6_initial_number20619[] = {1, 3, 7, 1, 25, 53, 33, 161, 365, 651, 1263, 1623, 1767, 3789, 18013, 52133, 60119, 100859, 0};
static int joe_kuo_d6_initial_number20620[] = {1, 3, 5, 9, 15, 9, 97, 67, 379, 981, 1323, 1095, 3701, 3257, 13647, 12511, 53375, 156689, 0};
static int joe_kuo_d6_initial_number20621[] = {1, 1, 3, 5, 9, 23, 97, 239, 171, 501, 1549, 1029, 8019, 5023, 9439, 14223, 54433, 152855, 0};
static int joe_kuo_d6_initial_number20622[] = {1, 1, 7, 13, 17, 35, 111, 169, 81, 599, 1673, 3461, 7905, 7925, 16311, 20327, 57109, 158719, 0};
static int joe_kuo_d6_initial_number20623[] = {1, 1, 3, 15, 7, 33, 23, 33, 273, 987, 1489, 363, 4017, 8919, 28839, 10143, 114179, 218155, 0};
static int joe_kuo_d6_initial_number20624[] = {1, 3, 5, 13, 29, 5, 61, 133, 65, 933, 509, 551, 7365, 3703, 15003, 27849, 64211, 140383, 0};
static int joe_kuo_d6_initial_number20625[] = {1, 1, 1, 13, 7, 25, 49, 1, 269, 601, 251, 33, 2443, 13725, 5805, 63347, 109489, 111491, 0};
static int joe_kuo_d6_initial_number20626[] = {1, 1, 7, 9, 31, 23, 117, 71, 371, 733, 605, 4019, 4577, 3887, 31061, 24939, 57905, 148331, 0};
static int joe_kuo_d6_initial_number20627[] = {1, 3, 5, 1, 3, 35, 35, 227, 355, 27, 1673, 2173, 5001, 14613, 6343, 40775, 72349, 101287, 0};
static int joe_kuo_d6_initial_number20628[] = {1, 1, 7, 15, 29, 3, 43, 77, 43, 51, 1495, 2577, 2093, 7515, 20151, 44533, 32223, 6355, 0};
static int joe_kuo_d6_initial_number20629[] = {1, 1, 5, 5, 11, 47, 91, 221, 35, 969, 343, 3287, 857, 4851, 12599, 939, 53615, 262125, 0};
static int joe_kuo_d6_initial_number20630[] = {1, 1, 5, 7, 29, 11, 67, 155, 317, 629, 211, 583, 1061, 13243, 13999, 45405, 18187, 99021, 0};
static int joe_kuo_d6_initial_number20631[] = {1, 3, 7, 13, 3, 39, 5, 207, 175, 515, 1181, 739, 379, 9919, 12079, 18903, 62475, 239383, 0};
static int joe_kuo_d6_initial_number20632[] = {1, 1, 1, 15, 25, 15, 113, 215, 281, 861, 1055, 2577, 5545, 12365, 16097, 35775, 8331, 119353, 0};
static int joe_kuo_d6_initial_number20633[] = {1, 1, 1, 1, 25, 55, 111, 185, 485, 361, 155, 4077, 5517, 16057, 19069, 40129, 38959, 211233, 0};
static int joe_kuo_d6_initial_number20634[] = {1, 1, 3, 3, 13, 1, 93, 129, 243, 813, 115, 177, 53, 8251, 32351, 63847, 54537, 25527, 0};
static int joe_kuo_d6_initial_number20635[] = {1, 3, 5, 11, 25, 47, 113, 69, 285, 451, 2011, 81, 6535, 3409, 8647, 56575, 975, 149571, 0};
static int joe_kuo_d6_initial_number20636[] = {1, 1, 7, 7, 19, 1, 75, 123, 413, 697, 41, 3179, 4075, 15967, 2477, 17549, 54193, 258657, 0};
static int joe_kuo_d6_initial_number20637[] = {1, 1, 5, 5, 11, 23, 19, 253, 303, 255, 901, 875, 1517, 6953, 25189, 26763, 28843, 167705, 0};
static int joe_kuo_d6_initial_number20638[] = {1, 3, 7, 7, 17, 45, 31, 79, 279, 965, 1869, 1201, 1627, 14035, 11651, 45021, 76171, 49137, 0};
static int joe_kuo_d6_initial_number20639[] = {1, 3, 1, 15, 9, 55, 83, 59, 437, 915, 1667, 89, 2797, 1841, 29261, 23497, 55785, 102265, 0};
static int joe_kuo_d6_initial_number20640[] = {1, 1, 5, 5, 3, 59, 17, 131, 199, 541, 1647, 2175, 4449, 6081, 10609, 39467, 72945, 32423, 0};
static int joe_kuo_d6_initial_number20641[] = {1, 3, 1, 7, 5, 7, 85, 11, 255, 397, 87, 1661, 6523, 5699, 29407, 28015, 50783, 246625, 0};
static int joe_kuo_d6_initial_number20642[] = {1, 3, 3, 13, 5, 61, 123, 147, 295, 37, 301, 2549, 7615, 5725, 32477, 18121, 69353, 242579, 0};
static int joe_kuo_d6_initial_number20643[] = {1, 3, 5, 7, 9, 45, 83, 211, 475, 281, 743, 3955, 7811, 6043, 30547, 5315, 53345, 25775, 0};
static int joe_kuo_d6_initial_number20644[] = {1, 3, 3, 5, 7, 63, 125, 43, 131, 353, 345, 1689, 5483, 5467, 13445, 13041, 68381, 134567, 0};
static int joe_kuo_d6_initial_number20645[] = {1, 3, 5, 11, 31, 9, 123, 53, 237, 911, 349, 3737, 1867, 7375, 3031, 4191, 8697, 182255, 0};
static int joe_kuo_d6_initial_number20646[] = {1, 1, 3, 3, 11, 11, 89, 251, 69, 93, 1241, 1719, 2227, 1793, 21683, 58099, 110831, 24835, 0};
static int joe_kuo_d6_initial_number20647[] = {1, 1, 5, 9, 3, 57, 3, 17, 11, 217, 923, 3623, 727, 1837, 21203, 63007, 33691, 216259, 0};
static int joe_kuo_d6_initial_number20648[] = {1, 3, 3, 9, 21, 25, 83, 115, 325, 921, 811, 303, 3555, 10669, 5837, 45585, 61923, 159061, 0};
static int joe_kuo_d6_initial_number20649[] = {1, 3, 3, 15, 17, 29, 77, 75, 509, 363, 199, 317, 7375, 11971, 15679, 17135, 101925, 103375, 0};
static int joe_kuo_d6_initial_number20650[] = {1, 3, 5, 5, 29, 45, 85, 151, 73, 329, 911, 3055, 2381, 4717, 5133, 58987, 59885, 226689, 0};
static int joe_kuo_d6_initial_number20651[] = {1, 3, 5, 1, 11, 59, 17, 83, 385, 867, 215, 2275, 7247, 10613, 6493, 63843, 74483, 134271, 0};
static int joe_kuo_d6_initial_number20652[] = {1, 1, 7, 13, 29, 25, 77, 61, 281, 439, 353, 2213, 697, 14741, 1597, 7515, 7703, 149123, 0};
static int joe_kuo_d6_initial_number20653[] = {1, 3, 7, 7, 7, 53, 77, 21, 483, 793, 969, 123, 3581, 12489, 22943, 54573, 25785, 178419, 0};
static int joe_kuo_d6_initial_number20654[] = {1, 3, 5, 3, 17, 59, 75, 55, 125, 569, 1625, 77, 4593, 8493, 5259, 54537, 100479, 107509, 0};
static int joe_kuo_d6_initial_number20655[] = {1, 1, 1, 15, 5, 7, 11, 169, 349, 133, 1113, 2877, 6109, 16275, 9755, 1385, 55005, 36095, 0};
static int joe_kuo_d6_initial_number20656[] = {1, 1, 7, 7, 21, 25, 41, 161, 11, 321, 343, 705, 4601, 12867, 21997, 25283, 78467, 159089, 0};
static int joe_kuo_d6_initial_number20657[] = {1, 3, 7, 1, 15, 3, 71, 227, 427, 883, 1021, 1405, 7791, 12669, 9159, 30931, 105993, 40917, 0};
static int joe_kuo_d6_initial_number20658[] = {1, 1, 5, 5, 25, 41, 93, 57, 125, 915, 701, 2589, 7147, 15369, 28307, 54635, 13253, 97177, 0};
static int joe_kuo_d6_initial_number20659[] = {1, 3, 1, 13, 11, 63, 103, 241, 317, 927, 965, 3179, 5213, 13849, 11509, 52665, 1637, 235647, 0};
static int joe_kuo_d6_initial_number20660[] = {1, 3, 5, 3, 31, 31, 111, 9, 339, 1017, 1715, 101, 6849, 14329, 31607, 40741, 73067, 119001, 0};
static int joe_kuo_d6_initial_number20661[] = {1, 3, 1, 13, 3, 55, 53, 15, 185, 717, 1447, 3029, 4899, 14217, 19949, 32817, 24829, 206829, 0};
static int joe_kuo_d6_initial_number20662[] = {1, 3, 7, 9, 21, 11, 33, 213, 5, 769, 1807, 2179, 63, 5167, 23235, 25495, 113299, 129419, 0};
static int joe_kuo_d6_initial_number20663[] = {1, 3, 7, 11, 11, 33, 23, 125, 21, 609, 595, 1329, 6175, 15837, 3889, 57797, 81453, 211413, 0};
static int joe_kuo_d6_initial_number20664[] = {1, 1, 5, 11, 31, 7, 13, 73, 143, 559, 1541, 275, 3349, 2987, 21797, 32921, 125395, 247667, 0};
static int joe_kuo_d6_initial_number20665[] = {1, 1, 3, 11, 19, 1, 23, 167, 337, 75, 1597, 3591, 2705, 7323, 5957, 7317, 58945, 44625, 0};
static int joe_kuo_d6_initial_number20666[] = {1, 1, 5, 11, 27, 19, 63, 231, 353, 645, 531, 3861, 1681, 6901, 16217, 20639, 70077, 220233, 0};
static int joe_kuo_d6_initial_number20667[] = {1, 1, 5, 15, 31, 41, 19, 253, 147, 365, 509, 1199, 6699, 14633, 1339, 48203, 58707, 83315, 0};
static int joe_kuo_d6_initial_number20668[] = {1, 1, 5, 7, 19, 47, 47, 17, 267, 139, 549, 803, 4625, 6851, 32141, 12891, 43785, 211361, 0};
static int joe_kuo_d6_initial_number20669[] = {1, 3, 1, 13, 19, 35, 13, 45, 167, 627, 1449, 3041, 5043, 9279, 15889, 41675, 25769, 13835, 0};
static int joe_kuo_d6_initial_number20670[] = {1, 3, 7, 7, 19, 47, 13, 117, 403, 79, 1623, 3741, 3255, 2301, 25, 2311, 5237, 150879, 0};
static int joe_kuo_d6_initial_number20671[] = {1, 1, 1, 15, 29, 43, 75, 21, 237, 809, 129, 2637, 181, 15921, 30709, 61281, 82405, 232885, 0};
static int joe_kuo_d6_initial_number20672[] = {1, 1, 3, 15, 15, 15, 55, 217, 243, 579, 945, 3993, 1875, 2425, 25045, 36729, 42935, 213703, 0};
static int joe_kuo_d6_initial_number20673[] = {1, 3, 3, 1, 5, 59, 115, 71, 483, 327, 701, 2893, 1815, 4611, 3843, 5893, 126479, 167807, 0};
static int joe_kuo_d6_initial_number20674[] = {1, 3, 1, 7, 17, 59, 115, 191, 3, 615, 215, 2121, 5085, 15233, 16661, 6215, 31061, 192847, 0};
static int joe_kuo_d6_initial_number20675[] = {1, 3, 1, 1, 21, 25, 41, 195, 151, 905, 1587, 439, 3317, 2275, 4743, 33505, 1185, 254873, 0};
static int joe_kuo_d6_initial_number20676[] = {1, 1, 3, 9, 11, 49, 37, 117, 419, 1007, 789, 1323, 345, 2047, 20697, 57063, 69167, 219393, 0};
static int joe_kuo_d6_initial_number20677[] = {1, 3, 1, 1, 25, 49, 81, 79, 117, 1015, 1777, 2427, 527, 10139, 16261, 42587, 33933, 19749, 0};
static int joe_kuo_d6_initial_number20678[] = {1, 1, 5, 15, 31, 43, 19, 17, 97, 591, 891, 177, 7835, 3979, 15473, 2173, 65555, 182773, 0};
static int joe_kuo_d6_initial_number20679[] = {1, 1, 3, 15, 13, 53, 31, 179, 247, 635, 683, 423, 2981, 14401, 26385, 10935, 68497, 181703, 0};
static int joe_kuo_d6_initial_number20680[] = {1, 3, 3, 9, 25, 55, 43, 29, 487, 969, 989, 3561, 6425, 11619, 5773, 56515, 17461, 151239, 0};
static int joe_kuo_d6_initial_number20681[] = {1, 1, 5, 13, 3, 31, 73, 51, 213, 215, 297, 783, 697, 14197, 7277, 60697, 985, 189995, 0};
static int joe_kuo_d6_initial_number20682[] = {1, 3, 3, 5, 9, 47, 69, 27, 15, 407, 1029, 2541, 183, 4413, 5143, 33903, 49509, 49007, 0};
static int joe_kuo_d6_initial_number20683[] = {1, 1, 1, 3, 5, 3, 9, 165, 215, 577, 1657, 363, 737, 5483, 5955, 34533, 45861, 104645, 0};
static int joe_kuo_d6_initial_number20684[] = {1, 1, 5, 7, 31, 27, 37, 215, 125, 915, 1297, 3095, 1529, 12737, 25675, 29355, 83939, 106765, 0};
static int joe_kuo_d6_initial_number20685[] = {1, 1, 3, 3, 1, 49, 29, 115, 395, 647, 147, 3905, 1025, 8873, 10587, 25471, 72089, 171467, 0};
static int joe_kuo_d6_initial_number20686[] = {1, 3, 7, 1, 21, 55, 57, 233, 487, 883, 439, 929, 1405, 13709, 2389, 20205, 17579, 9129, 0};
static int joe_kuo_d6_initial_number20687[] = {1, 3, 5, 5, 23, 51, 55, 45, 307, 855, 933, 1443, 4757, 8719, 28401, 35189, 105329, 9211, 0};
static int joe_kuo_d6_initial_number20688[] = {1, 3, 7, 11, 29, 17, 17, 147, 221, 997, 1433, 59, 8027, 231, 30335, 2153, 21393, 116661, 0};
static int joe_kuo_d6_initial_number20689[] = {1, 1, 7, 3, 5, 43, 47, 155, 357, 915, 1923, 3315, 4107, 9785, 4847, 57683, 87569, 179583, 0};
static int joe_kuo_d6_initial_number20690[] = {1, 1, 7, 7, 27, 5, 37, 95, 265, 113, 143, 3755, 5793, 5601, 16621, 54777, 15989, 158933, 0};
static int joe_kuo_d6_initial_number20691[] = {1, 3, 1, 1, 13, 31, 113, 255, 367, 559, 1777, 4065, 8061, 15785, 10345, 54833, 95277, 159347, 0};
static int joe_kuo_d6_initial_number20692[] = {1, 1, 1, 15, 3, 43, 85, 251, 193, 19, 1685, 271, 1779, 11901, 18983, 65361, 128217, 248051, 0};
static int joe_kuo_d6_initial_number20693[] = {1, 3, 5, 7, 29, 21, 5, 47, 263, 913, 83, 3233, 113, 8341, 14473, 37405, 2363, 155931, 0};
static int joe_kuo_d6_initial_number20694[] = {1, 1, 7, 15, 7, 25, 41, 39, 315, 323, 827, 1277, 1211, 4465, 21161, 36865, 6689, 139147, 0};
static int joe_kuo_d6_initial_number20695[] = {1, 1, 1, 9, 11, 45, 81, 235, 31, 247, 77, 1877, 7119, 16007, 2225, 65, 85537, 99251, 0};
static int joe_kuo_d6_initial_number20696[] = {1, 1, 3, 11, 19, 5, 49, 179, 345, 961, 349, 2099, 2317, 12771, 27169, 59389, 116071, 68333, 0};
static int joe_kuo_d6_initial_number20697[] = {1, 3, 3, 5, 15, 53, 47, 177, 103, 941, 87, 2813, 7729, 8003, 7717, 40095, 74569, 106617, 0};
static int joe_kuo_d6_initial_number20698[] = {1, 1, 7, 7, 31, 23, 105, 205, 325, 855, 1529, 3601, 7151, 15827, 16241, 18221, 55771, 139225, 0};
static int joe_kuo_d6_initial_number20699[] = {1, 3, 5, 13, 13, 5, 95, 167, 25, 779, 1147, 221, 5055, 10943, 28077, 15131, 89501, 137407, 0};
static int joe_kuo_d6_initial_number20700[] = {1, 3, 7, 13, 31, 3, 105, 163, 41, 823, 1493, 2985, 5589, 3543, 24683, 34469, 40595, 200875, 0};
static int joe_kuo_d6_initial_number20701[] = {1, 3, 5, 3, 27, 35, 105, 163, 477, 667, 45, 319, 3201, 11535, 19349, 55253, 60275, 209597, 0};
static int joe_kuo_d6_initial_number20702[] = {1, 3, 1, 11, 5, 13, 25, 225, 169, 925, 1617, 537, 891, 5583, 7181, 39953, 97537, 104019, 0};
static int joe_kuo_d6_initial_number20703[] = {1, 3, 5, 9, 13, 1, 69, 147, 465, 259, 1219, 2407, 4015, 4883, 4333, 40441, 31289, 52989, 0};
static int joe_kuo_d6_initial_number20704[] = {1, 3, 5, 5, 17, 29, 105, 233, 307, 807, 1535, 251, 135, 925, 6865, 59739, 112757, 208275, 0};
static int joe_kuo_d6_initial_number20705[] = {1, 1, 1, 7, 9, 21, 49, 247, 33, 127, 1277, 1745, 139, 12165, 23517, 50235, 101003, 109031, 0};
static int joe_kuo_d6_initial_number20706[] = {1, 3, 5, 9, 19, 7, 9, 139, 511, 901, 551, 2717, 6091, 3213, 819, 51381, 108333, 119681, 0};
static int joe_kuo_d6_initial_number20707[] = {1, 1, 1, 3, 19, 17, 73, 19, 313, 589, 1965, 1745, 921, 4237, 12527, 10735, 110139, 171513, 0};
static int joe_kuo_d6_initial_number20708[] = {1, 1, 5, 15, 25, 29, 15, 217, 87, 793, 419, 915, 1359, 10507, 25343, 62977, 100913, 110041, 0};
static int joe_kuo_d6_initial_number20709[] = {1, 3, 7, 15, 15, 15, 91, 243, 441, 437, 1759, 2659, 2319, 7783, 16857, 19051, 15463, 253115, 0};
static int joe_kuo_d6_initial_number20710[] = {1, 1, 5, 13, 15, 5, 7, 165, 355, 559, 217, 235, 3565, 12047, 2387, 62285, 73363, 238551, 0};
static int joe_kuo_d6_initial_number20711[] = {1, 3, 7, 11, 5, 5, 69, 205, 179, 815, 335, 979, 2129, 6221, 31987, 13623, 23103, 24373, 0};
static int joe_kuo_d6_initial_number20712[] = {1, 1, 7, 11, 31, 51, 55, 93, 195, 219, 825, 2919, 4495, 5927, 11813, 16415, 121595, 188613, 0};
static int joe_kuo_d6_initial_number20713[] = {1, 1, 3, 1, 3, 11, 73, 45, 141, 219, 337, 2569, 6549, 3699, 2417, 2945, 19389, 82561, 0};
static int joe_kuo_d6_initial_number20714[] = {1, 3, 1, 13, 5, 47, 47, 81, 11, 57, 1965, 2173, 3209, 10617, 19887, 5571, 61403, 37401, 0};
static int joe_kuo_d6_initial_number20715[] = {1, 3, 3, 7, 3, 5, 99, 253, 287, 655, 813, 3365, 2387, 8951, 1561, 37637, 97625, 148699, 0};
static int joe_kuo_d6_initial_number20716[] = {1, 1, 3, 5, 9, 31, 49, 7, 55, 607, 1489, 3229, 5871, 1271, 22751, 32309, 16125, 93409, 0};
static int joe_kuo_d6_initial_number20717[] = {1, 3, 1, 5, 19, 35, 29, 233, 407, 297, 1465, 3089, 7535, 7221, 24469, 42653, 65719, 196771, 0};
static int joe_kuo_d6_initial_number20718[] = {1, 1, 7, 13, 17, 19, 37, 45, 211, 545, 963, 79, 13, 8319, 8045, 24975, 122749, 25845, 0};
static int joe_kuo_d6_initial_number20719[] = {1, 3, 5, 3, 23, 23, 53, 101, 363, 49, 1351, 3419, 1603, 10795, 5289, 63695, 113911, 228301, 0};
static int joe_kuo_d6_initial_number20720[] = {1, 3, 7, 9, 15, 59, 125, 59, 11, 397, 693, 397, 3829, 14349, 13973, 54739, 22093, 216009, 0};
static int joe_kuo_d6_initial_number20721[] = {1, 1, 1, 13, 5, 63, 21, 23, 421, 35, 589, 803, 6193, 11375, 9501, 34441, 68421, 120109, 0};
static int joe_kuo_d6_initial_number20722[] = {1, 3, 3, 7, 23, 25, 79, 203, 177, 173, 175, 809, 4331, 6953, 4999, 34345, 94481, 88683, 0};
static int joe_kuo_d6_initial_number20723[] = {1, 3, 3, 3, 1, 51, 109, 195, 83, 747, 63, 325, 927, 1757, 32055, 37185, 22697, 41509, 0};
static int joe_kuo_d6_initial_number20724[] = {1, 3, 5, 13, 1, 63, 45, 73, 121, 445, 1935, 3373, 563, 7503, 17941, 60313, 42219, 220917, 0};
static int joe_kuo_d6_initial_number20725[] = {1, 3, 5, 13, 27, 31, 7, 83, 109, 387, 447, 1691, 1301, 7449, 8075, 30713, 87207, 84855, 0};
static int joe_kuo_d6_initial_number20726[] = {1, 3, 1, 5, 25, 51, 83, 11, 261, 977, 1415, 2973, 1789, 12641, 16279, 4225, 44237, 173561, 0};
static int joe_kuo_d6_initial_number20727[] = {1, 1, 5, 15, 17, 47, 105, 199, 83, 705, 1215, 2759, 7509, 10407, 4005, 4575, 65961, 209933, 0};
static int joe_kuo_d6_initial_number20728[] = {1, 3, 1, 13, 27, 3, 5, 199, 405, 515, 291, 3399, 1497, 14755, 30229, 35075, 111585, 16633, 0};
static int joe_kuo_d6_initial_number20729[] = {1, 1, 1, 13, 17, 53, 93, 161, 447, 903, 947, 1871, 3597, 10575, 18389, 48551, 65229, 32591, 0};
static int joe_kuo_d6_initial_number20730[] = {1, 3, 5, 11, 9, 7, 53, 155, 299, 523, 1653, 3517, 2725, 9485, 27099, 47895, 30169, 260463, 0};
static int joe_kuo_d6_initial_number20731[] = {1, 1, 3, 13, 11, 45, 31, 183, 445, 21, 313, 2597, 195, 16053, 7323, 52951, 25919, 9323, 0};
static int joe_kuo_d6_initial_number20732[] = {1, 1, 1, 15, 1, 35, 15, 115, 53, 561, 1141, 3261, 83, 2547, 8925, 43455, 112755, 94157, 0};
static int joe_kuo_d6_initial_number20733[] = {1, 1, 3, 5, 27, 25, 81, 51, 209, 87, 379, 3167, 4953, 13885, 20159, 103, 115363, 123585, 0};
static int joe_kuo_d6_initial_number20734[] = {1, 3, 5, 1, 25, 29, 107, 225, 77, 435, 2009, 4069, 3703, 8855, 14101, 61683, 16993, 110823, 0};
static int joe_kuo_d6_initial_number20735[] = {1, 3, 7, 3, 31, 25, 51, 117, 397, 271, 89, 3571, 2357, 4923, 16303, 2357, 107775, 73809, 0};
static int joe_kuo_d6_initial_number20736[] = {1, 1, 3, 1, 29, 21, 33, 67, 363, 753, 915, 3715, 2013, 8439, 5779, 267, 32687, 104283, 0};
static int joe_kuo_d6_initial_number20737[] = {1, 3, 1, 11, 11, 7, 31, 43, 339, 917, 2005, 759, 4285, 1933, 4341, 19111, 130651, 122853, 0};
static int joe_kuo_d6_initial_number20738[] = {1, 1, 5, 1, 17, 63, 85, 63, 387, 127, 1313, 619, 6525, 9003, 10915, 64507, 13175, 45219, 0};
static int joe_kuo_d6_initial_number20739[] = {1, 3, 7, 9, 25, 15, 43, 13, 411, 391, 571, 527, 8175, 10849, 20093, 2987, 29869, 77207, 0};
static int joe_kuo_d6_initial_number20740[] = {1, 1, 5, 3, 29, 53, 105, 57, 91, 977, 1103, 2977, 5617, 7203, 26717, 28463, 55909, 59943, 0};
static int joe_kuo_d6_initial_number20741[] = {1, 3, 1, 7, 1, 47, 111, 215, 189, 377, 11, 871, 2267, 5705, 8165, 38895, 71025, 10921, 0};
static int joe_kuo_d6_initial_number20742[] = {1, 1, 7, 9, 29, 55, 1, 103, 505, 697, 317, 3209, 3643, 13689, 8499, 14671, 67937, 100467, 0};
static int joe_kuo_d6_initial_number20743[] = {1, 3, 1, 5, 25, 15, 99, 199, 117, 957, 1421, 1719, 5185, 15247, 28615, 2657, 46867, 190135, 0};
static int joe_kuo_d6_initial_number20744[] = {1, 1, 7, 9, 27, 55, 81, 47, 15, 497, 537, 857, 2905, 1909, 3341, 32625, 123189, 21875, 0};
static int joe_kuo_d6_initial_number20745[] = {1, 3, 1, 3, 19, 51, 97, 143, 305, 1021, 543, 829, 7593, 8101, 6337, 4869, 19177, 38981, 0};
static int joe_kuo_d6_initial_number20746[] = {1, 3, 3, 15, 9, 37, 51, 193, 295, 731, 809, 4065, 3377, 15303, 12505, 11327, 76191, 139899, 0};
static int joe_kuo_d6_initial_number20747[] = {1, 1, 5, 1, 3, 19, 5, 223, 379, 7, 755, 1127, 505, 9429, 27409, 50817, 97599, 179019, 0};
static int joe_kuo_d6_initial_number20748[] = {1, 3, 5, 3, 5, 11, 83, 119, 3, 311, 405, 2401, 1821, 1381, 4567, 44079, 61903, 183583, 0};
static int joe_kuo_d6_initial_number20749[] = {1, 3, 7, 9, 7, 11, 107, 95, 271, 537, 335, 3079, 6695, 1163, 32055, 44985, 29075, 94235, 0};
static int joe_kuo_d6_initial_number20750[] = {1, 3, 7, 7, 7, 57, 59, 85, 199, 563, 1835, 351, 7675, 2601, 3717, 57975, 92529, 101511, 0};
static int joe_kuo_d6_initial_number20751[] = {1, 1, 1, 5, 17, 5, 97, 43, 101, 141, 1511, 199, 7157, 3169, 24815, 55653, 104195, 37951, 0};
static int joe_kuo_d6_initial_number20752[] = {1, 1, 1, 11, 23, 29, 41, 47, 447, 583, 773, 859, 1657, 8707, 16709, 53477, 42037, 186809, 0};
static int joe_kuo_d6_initial_number20753[] = {1, 1, 1, 13, 13, 5, 85, 9, 213, 511, 1003, 811, 2271, 14715, 21423, 48127, 50613, 214031, 0};
static int joe_kuo_d6_initial_number20754[] = {1, 1, 3, 5, 7, 31, 87, 101, 297, 853, 1599, 1521, 4965, 9655, 23543, 62277, 11231, 49931, 0};
static int joe_kuo_d6_initial_number20755[] = {1, 1, 7, 7, 19, 31, 9, 165, 207, 919, 739, 3849, 2121, 867, 3233, 40867, 75721, 5327, 0};
static int joe_kuo_d6_initial_number20756[] = {1, 3, 7, 1, 17, 3, 27, 13, 431, 283, 465, 1427, 1937, 15601, 21793, 9315, 54285, 196453, 0};
static int joe_kuo_d6_initial_number20757[] = {1, 1, 7, 3, 17, 39, 65, 137, 511, 19, 1357, 3373, 5227, 2485, 1151, 25061, 117507, 119219, 0};
static int joe_kuo_d6_initial_number20758[] = {1, 3, 3, 9, 9, 23, 13, 235, 505, 625, 115, 3859, 6943, 14719, 6363, 14957, 28241, 187989, 0};
static int joe_kuo_d6_initial_number20759[] = {1, 3, 7, 13, 11, 31, 23, 39, 463, 441, 1145, 417, 4177, 1655, 26491, 16895, 26263, 198157, 0};
static int joe_kuo_d6_initial_number20760[] = {1, 3, 3, 7, 25, 55, 121, 157, 131, 537, 1891, 2367, 1717, 2331, 20251, 8679, 62657, 121957, 0};
static int joe_kuo_d6_initial_number20761[] = {1, 1, 1, 11, 7, 43, 59, 101, 333, 961, 569, 1603, 3009, 6539, 9627, 5759, 44401, 127613, 0};
static int joe_kuo_d6_initial_number20762[] = {1, 3, 3, 3, 1, 27, 15, 135, 235, 215, 627, 2427, 2647, 3201, 22873, 64445, 32635, 16587, 0};
static int joe_kuo_d6_initial_number20763[] = {1, 3, 7, 7, 5, 49, 63, 103, 467, 897, 117, 1149, 6045, 5003, 5005, 6183, 90815, 190909, 0};
static int joe_kuo_d6_initial_number20764[] = {1, 1, 3, 3, 31, 43, 45, 227, 363, 409, 1097, 3155, 1519, 14461, 29377, 19577, 52595, 94041, 0};
static int joe_kuo_d6_initial_number20765[] = {1, 3, 1, 1, 3, 25, 83, 243, 57, 243, 389, 1427, 5197, 13125, 18571, 17845, 74961, 125569, 0};
static int joe_kuo_d6_initial_number20766[] = {1, 3, 5, 5, 1, 39, 11, 175, 97, 1001, 143, 3653, 5887, 5845, 5691, 5433, 62629, 176261, 0};
static int joe_kuo_d6_initial_number20767[] = {1, 1, 1, 13, 11, 41, 41, 155, 17, 823, 1507, 733, 5663, 13657, 24133, 9971, 27179, 108075, 0};
static int joe_kuo_d6_initial_number20768[] = {1, 1, 7, 9, 19, 9, 103, 29, 427, 363, 931, 3959, 1629, 5127, 14807, 61937, 127175, 237233, 0};
static int joe_kuo_d6_initial_number20769[] = {1, 1, 1, 5, 29, 53, 51, 229, 123, 1001, 697, 411, 4669, 5051, 18447, 55437, 129269, 72613, 0};
static int joe_kuo_d6_initial_number20770[] = {1, 3, 7, 3, 19, 53, 111, 131, 255, 547, 653, 2839, 1447, 14397, 5707, 23773, 127897, 135177, 0};
static int joe_kuo_d6_initial_number20771[] = {1, 3, 3, 5, 21, 37, 53, 219, 359, 341, 489, 2477, 3383, 6931, 7753, 2619, 114267, 63271, 0};
static int joe_kuo_d6_initial_number20772[] = {1, 1, 3, 15, 15, 15, 95, 171, 301, 563, 603, 593, 4037, 7305, 10849, 11753, 103087, 74887, 0};
static int joe_kuo_d6_initial_number20773[] = {1, 1, 5, 3, 11, 51, 105, 35, 155, 643, 569, 1697, 1679, 7547, 19289, 7065, 57359, 142855, 0};
static int joe_kuo_d6_initial_number20774[] = {1, 1, 7, 15, 23, 55, 17, 67, 375, 559, 355, 165, 93, 973, 22831, 48027, 98435, 59945, 0};
static int joe_kuo_d6_initial_number20775[] = {1, 3, 7, 3, 5, 43, 9, 253, 111, 819, 45, 3461, 4821, 14735, 14469, 29793, 30681, 26359, 0};
static int joe_kuo_d6_initial_number20776[] = {1, 3, 3, 5, 15, 1, 39, 233, 63, 287, 131, 3453, 427, 4929, 30085, 18583, 50119, 262101, 0};
static int joe_kuo_d6_initial_number20777[] = {1, 3, 7, 9, 31, 7, 127, 157, 287, 57, 1091, 1989, 5045, 13071, 27705, 58125, 85317, 66649, 0};
static int joe_kuo_d6_initial_number20778[] = {1, 1, 1, 15, 17, 29, 25, 223, 311, 489, 1901, 3197, 1813, 10097, 31915, 54871, 32289, 227001, 0};
static int joe_kuo_d6_initial_number20779[] = {1, 3, 7, 5, 31, 35, 69, 87, 131, 963, 1125, 1109, 8037, 3257, 27655, 50999, 3715, 57851, 0};
static int joe_kuo_d6_initial_number20780[] = {1, 1, 5, 5, 27, 7, 119, 29, 425, 721, 541, 3069, 3349, 13623, 12293, 51395, 14033, 61545, 0};
static int joe_kuo_d6_initial_number20781[] = {1, 3, 7, 3, 17, 49, 103, 115, 387, 729, 1389, 2257, 3273, 3375, 23143, 2835, 28071, 79533, 0};
static int joe_kuo_d6_initial_number20782[] = {1, 1, 3, 7, 9, 19, 55, 159, 261, 467, 17, 2595, 3947, 7045, 193, 23629, 89067, 81197, 0};
static int joe_kuo_d6_initial_number20783[] = {1, 1, 1, 15, 13, 39, 103, 195, 251, 769, 1003, 2707, 3263, 8451, 8007, 53789, 112653, 258717, 0};
static int joe_kuo_d6_initial_number20784[] = {1, 3, 5, 1, 3, 21, 29, 217, 125, 779, 1597, 513, 2677, 3979, 31903, 64813, 69963, 92887, 0};
static int joe_kuo_d6_initial_number20785[] = {1, 1, 3, 11, 11, 59, 81, 237, 447, 703, 41, 3369, 3547, 14935, 31693, 52005, 74149, 131039, 0};
static int joe_kuo_d6_initial_number20786[] = {1, 1, 3, 1, 23, 1, 33, 93, 275, 847, 921, 2745, 533, 8975, 30529, 46809, 98975, 75541, 0};
static int joe_kuo_d6_initial_number20787[] = {1, 1, 7, 7, 15, 1, 3, 213, 71, 1009, 1951, 3015, 713, 9365, 21949, 60983, 117633, 225387, 0};
static int joe_kuo_d6_initial_number20788[] = {1, 1, 1, 11, 31, 27, 59, 179, 231, 635, 1555, 2765, 31, 15065, 22719, 59251, 84733, 96769, 0};
static int joe_kuo_d6_initial_number20789[] = {1, 3, 7, 3, 19, 5, 35, 207, 317, 735, 943, 3987, 4021, 11229, 13015, 713, 125167, 55887, 0};
static int joe_kuo_d6_initial_number20790[] = {1, 1, 3, 1, 27, 49, 81, 17, 253, 633, 43, 2953, 3151, 8429, 30625, 28551, 126683, 175087, 0};
static int joe_kuo_d6_initial_number20791[] = {1, 3, 3, 3, 9, 53, 111, 245, 57, 557, 945, 2957, 7669, 12537, 17291, 9713, 87727, 44739, 0};
static int joe_kuo_d6_initial_number20792[] = {1, 3, 1, 1, 5, 39, 77, 127, 87, 687, 1485, 1555, 2567, 13551, 17075, 24003, 47627, 129813, 0};
static int joe_kuo_d6_initial_number20793[] = {1, 3, 5, 9, 25, 35, 87, 233, 439, 563, 1719, 419, 4459, 4285, 25157, 943, 111543, 232107, 0};
static int joe_kuo_d6_initial_number20794[] = {1, 3, 5, 11, 1, 13, 97, 153, 459, 551, 73, 2087, 3985, 4661, 15603, 22211, 123163, 187233, 0};
static int joe_kuo_d6_initial_number20795[] = {1, 1, 7, 13, 17, 59, 5, 219, 353, 441, 387, 441, 3009, 485, 20081, 38023, 50659, 159243, 0};
static int joe_kuo_d6_initial_number20796[] = {1, 3, 1, 7, 21, 31, 117, 49, 227, 677, 417, 1153, 1611, 1669, 25161, 52223, 15109, 114759, 0};
static int joe_kuo_d6_initial_number20797[] = {1, 1, 7, 9, 19, 13, 111, 7, 1, 701, 731, 2075, 685, 15679, 19149, 44315, 41719, 243975, 0};
static int joe_kuo_d6_initial_number20798[] = {1, 3, 3, 7, 15, 63, 59, 105, 327, 39, 1497, 2407, 2865, 7065, 9957, 20031, 45359, 73657, 0};
static int joe_kuo_d6_initial_number20799[] = {1, 3, 1, 13, 7, 3, 55, 221, 443, 953, 15, 2455, 4681, 16247, 18179, 44731, 41323, 172621, 0};
static int joe_kuo_d6_initial_number20800[] = {1, 1, 3, 9, 1, 27, 65, 167, 115, 137, 819, 2129, 3393, 5901, 11735, 62753, 14941, 21425, 0};
static int joe_kuo_d6_initial_number20801[] = {1, 3, 7, 11, 7, 9, 41, 175, 237, 481, 59, 265, 2135, 9419, 3937, 55959, 48343, 172549, 0};
static int joe_kuo_d6_initial_number20802[] = {1, 1, 1, 13, 23, 33, 105, 87, 461, 297, 1345, 3715, 7715, 16369, 19017, 15141, 10873, 109641, 0};
static int joe_kuo_d6_initial_number20803[] = {1, 3, 5, 1, 11, 1, 13, 41, 447, 511, 447, 2295, 2401, 14171, 16269, 50453, 40361, 205857, 0};
static int joe_kuo_d6_initial_number20804[] = {1, 1, 3, 3, 27, 7, 35, 193, 113, 341, 335, 2113, 343, 4575, 20863, 40383, 86787, 142603, 0};
static int joe_kuo_d6_initial_number20805[] = {1, 1, 7, 11, 17, 25, 51, 89, 341, 237, 1233, 1505, 7401, 6887, 26897, 20127, 51077, 107559, 0};
static int joe_kuo_d6_initial_number20806[] = {1, 1, 1, 15, 9, 59, 29, 115, 339, 785, 201, 947, 1501, 6883, 169, 44059, 17527, 197623, 0};
static int joe_kuo_d6_initial_number20807[] = {1, 3, 7, 3, 17, 59, 15, 5, 379, 347, 821, 4047, 3565, 13689, 23275, 27901, 121401, 43077, 0};
static int joe_kuo_d6_initial_number20808[] = {1, 1, 1, 7, 15, 11, 35, 29, 59, 99, 181, 3035, 3239, 1553, 32319, 64195, 115247, 149211, 0};
static int joe_kuo_d6_initial_number20809[] = {1, 1, 5, 3, 31, 49, 87, 177, 231, 167, 373, 1125, 5919, 4805, 31983, 42873, 30169, 91853, 0};
static int joe_kuo_d6_initial_number20810[] = {1, 1, 5, 15, 7, 63, 37, 15, 459, 449, 1835, 1769, 2527, 2577, 4251, 62459, 76699, 81721, 0};
static int joe_kuo_d6_initial_number20811[] = {1, 1, 1, 3, 21, 15, 19, 183, 423, 827, 341, 2101, 3797, 7103, 30845, 24511, 115337, 117019, 0};
static int joe_kuo_d6_initial_number20812[] = {1, 3, 5, 5, 19, 1, 97, 13, 491, 51, 445, 1987, 7481, 2613, 23141, 36603, 26917, 177397, 0};
static int joe_kuo_d6_initial_number20813[] = {1, 1, 1, 5, 15, 43, 21, 167, 259, 989, 1937, 1519, 2201, 13973, 18031, 31583, 57557, 252737, 0};
static int joe_kuo_d6_initial_number20814[] = {1, 3, 3, 7, 31, 11, 89, 53, 279, 83, 1247, 1221, 5499, 1199, 361, 22269, 88633, 134975, 0};
static int joe_kuo_d6_initial_number20815[] = {1, 1, 3, 5, 9, 5, 113, 41, 143, 655, 1147, 2043, 4229, 10523, 1453, 1735, 76259, 30607, 0};
static int joe_kuo_d6_initial_number20816[] = {1, 1, 1, 11, 5, 7, 9, 155, 221, 619, 813, 3111, 6039, 10789, 10905, 33285, 62841, 229217, 0};
static int joe_kuo_d6_initial_number20817[] = {1, 3, 5, 9, 19, 19, 123, 65, 419, 597, 87, 3843, 4857, 15903, 23655, 13023, 8389, 230803, 0};
static int joe_kuo_d6_initial_number20818[] = {1, 3, 3, 15, 9, 19, 51, 223, 197, 759, 139, 59, 6547, 1043, 5077, 55267, 23681, 17099, 0};
static int joe_kuo_d6_initial_number20819[] = {1, 1, 3, 3, 15, 43, 63, 85, 227, 961, 1043, 1069, 6557, 7499, 31639, 4345, 26991, 132783, 0};
static int joe_kuo_d6_initial_number20820[] = {1, 3, 1, 1, 25, 33, 59, 219, 435, 105, 1001, 323, 2729, 12517, 16607, 57533, 101167, 53829, 0};
static int joe_kuo_d6_initial_number20821[] = {1, 3, 7, 7, 9, 55, 3, 247, 303, 453, 861, 817, 705, 14337, 15965, 28867, 126763, 204005, 0};
static int joe_kuo_d6_initial_number20822[] = {1, 1, 3, 7, 1, 39, 15, 39, 359, 313, 1753, 2835, 387, 16223, 10945, 19481, 19995, 29989, 0};
static int joe_kuo_d6_initial_number20823[] = {1, 1, 1, 5, 3, 31, 103, 123, 493, 1023, 119, 2175, 2273, 11637, 21605, 23349, 100759, 41227, 0};
static int joe_kuo_d6_initial_number20824[] = {1, 3, 7, 13, 5, 13, 17, 7, 341, 945, 621, 1421, 3893, 5825, 26777, 35497, 13791, 25415, 0};
static int joe_kuo_d6_initial_number20825[] = {1, 1, 5, 1, 19, 27, 39, 7, 177, 749, 1217, 2133, 6913, 13489, 23713, 1085, 31529, 179741, 0};
static int joe_kuo_d6_initial_number20826[] = {1, 3, 3, 3, 15, 21, 5, 145, 281, 131, 1347, 19, 4917, 8655, 2515, 36927, 56551, 202039, 0};
static int joe_kuo_d6_initial_number20827[] = {1, 1, 3, 7, 27, 31, 33, 255, 511, 195, 1493, 2221, 2157, 9303, 3957, 14163, 70435, 215763, 0};
static int joe_kuo_d6_initial_number20828[] = {1, 3, 3, 15, 31, 41, 33, 37, 239, 865, 375, 2217, 809, 11961, 29393, 52145, 76223, 202623, 0};
static int joe_kuo_d6_initial_number20829[] = {1, 3, 5, 11, 5, 57, 73, 193, 341, 843, 1817, 231, 65, 5941, 29693, 31751, 57081, 180977, 0};
static int joe_kuo_d6_initial_number20830[] = {1, 3, 1, 9, 29, 57, 85, 107, 343, 891, 465, 2413, 1965, 7303, 7461, 25857, 110517, 16995, 0};
static int joe_kuo_d6_initial_number20831[] = {1, 1, 7, 15, 7, 49, 121, 211, 253, 511, 1385, 1205, 33, 7713, 20059, 47353, 3267, 215759, 0};
static int joe_kuo_d6_initial_number20832[] = {1, 1, 3, 9, 15, 63, 45, 155, 415, 589, 651, 3707, 5429, 4497, 13733, 21231, 18953, 28671, 0};
static int joe_kuo_d6_initial_number20833[] = {1, 1, 5, 15, 7, 57, 31, 109, 427, 921, 629, 3439, 7615, 4535, 1507, 58931, 49597, 214397, 0};
static int joe_kuo_d6_initial_number20834[] = {1, 3, 3, 5, 21, 35, 9, 241, 67, 767, 659, 1639, 7797, 5209, 14851, 55311, 108549, 175937, 0};
static int joe_kuo_d6_initial_number20835[] = {1, 1, 7, 15, 21, 61, 13, 47, 267, 269, 1169, 257, 2481, 8345, 1061, 28119, 127197, 95379, 0};
static int joe_kuo_d6_initial_number20836[] = {1, 1, 3, 7, 21, 35, 121, 223, 145, 665, 1389, 2105, 5499, 1377, 32417, 39027, 5335, 248315, 0};
static int joe_kuo_d6_initial_number20837[] = {1, 3, 3, 9, 13, 33, 57, 225, 123, 703, 1049, 709, 7347, 11317, 12339, 23247, 62157, 85931, 0};
static int joe_kuo_d6_initial_number20838[] = {1, 3, 3, 3, 5, 3, 105, 115, 13, 675, 757, 987, 6429, 13017, 21347, 38829, 82153, 220677, 0};
static int joe_kuo_d6_initial_number20839[] = {1, 3, 1, 13, 5, 51, 75, 205, 7, 561, 207, 1133, 3303, 1889, 17093, 5933, 48109, 244387, 0};
static int joe_kuo_d6_initial_number20840[] = {1, 3, 3, 7, 11, 11, 71, 243, 235, 941, 1875, 2387, 1139, 16275, 4537, 18791, 67927, 156759, 0};
static int joe_kuo_d6_initial_number20841[] = {1, 3, 5, 5, 11, 35, 29, 5, 351, 223, 847, 1539, 4903, 7619, 24907, 37071, 57899, 32981, 0};
static int joe_kuo_d6_initial_number20842[] = {1, 3, 1, 7, 23, 7, 119, 17, 123, 845, 1423, 2995, 3595, 13287, 31217, 33939, 6891, 156477, 0};
static int joe_kuo_d6_initial_number20843[] = {1, 1, 1, 9, 11, 55, 121, 85, 175, 757, 1093, 513, 1117, 14049, 22377, 4623, 38511, 51391, 0};
static int joe_kuo_d6_initial_number20844[] = {1, 1, 7, 1, 17, 1, 7, 185, 173, 841, 61, 2735, 6679, 7617, 17309, 58047, 11791, 228635, 0};
static int joe_kuo_d6_initial_number20845[] = {1, 1, 5, 5, 1, 1, 61, 57, 37, 857, 531, 2655, 1907, 4245, 3047, 50489, 93447, 116637, 0};
static int joe_kuo_d6_initial_number20846[] = {1, 3, 5, 7, 27, 47, 121, 95, 73, 63, 539, 137, 1765, 4659, 31141, 24495, 109541, 16421, 0};
static int joe_kuo_d6_initial_number20847[] = {1, 3, 7, 13, 13, 25, 47, 45, 97, 243, 1509, 3539, 4791, 5627, 31981, 57663, 65359, 32183, 0};
static int joe_kuo_d6_initial_number20848[] = {1, 1, 1, 7, 15, 57, 117, 249, 183, 849, 557, 833, 5751, 8035, 3371, 11389, 125581, 248799, 0};
static int joe_kuo_d6_initial_number20849[] = {1, 3, 1, 15, 13, 31, 59, 243, 17, 473, 289, 1527, 649, 2807, 6183, 6173, 74381, 261673, 0};
static int joe_kuo_d6_initial_number20850[] = {1, 1, 7, 7, 19, 17, 95, 81, 191, 487, 2023, 307, 3261, 13885, 9285, 30831, 114009, 26483, 0};
static int joe_kuo_d6_initial_number20851[] = {1, 1, 3, 11, 17, 21, 85, 193, 477, 267, 393, 39, 5793, 8621, 25379, 9721, 13947, 44235, 0};
static int joe_kuo_d6_initial_number20852[] = {1, 1, 7, 5, 27, 33, 93, 9, 471, 751, 1279, 695, 2625, 7061, 29577, 5403, 80705, 77895, 0};
static int joe_kuo_d6_initial_number20853[] = {1, 1, 3, 11, 7, 25, 125, 9, 233, 935, 1897, 3685, 595, 15499, 43, 29251, 18029, 250231, 0};
static int joe_kuo_d6_initial_number20854[] = {1, 1, 5, 1, 9, 55, 125, 179, 287, 371, 233, 149, 5639, 5737, 25251, 103, 117015, 35579, 0};
static int joe_kuo_d6_initial_number20855[] = {1, 1, 5, 9, 17, 33, 69, 15, 209, 521, 1083, 2469, 679, 9307, 31539, 63889, 48825, 126327, 0};
static int joe_kuo_d6_initial_number20856[] = {1, 3, 5, 15, 15, 41, 105, 121, 21, 935, 721, 445, 6759, 4227, 15227, 54933, 69589, 2689, 0};
static int joe_kuo_d6_initial_number20857[] = {1, 1, 7, 15, 1, 15, 111, 141, 279, 1013, 825, 1069, 3793, 12929, 153, 11463, 87759, 179987, 0};
static int joe_kuo_d6_initial_number20858[] = {1, 1, 1, 9, 15, 59, 109, 103, 223, 695, 1979, 1241, 2559, 8627, 10559, 53319, 94311, 245193, 0};
static int joe_kuo_d6_initial_number20859[] = {1, 1, 5, 3, 1, 41, 51, 129, 297, 15, 637, 2489, 343, 13549, 7707, 36757, 55703, 161043, 0};
static int joe_kuo_d6_initial_number20860[] = {1, 3, 5, 1, 13, 35, 119, 219, 319, 733, 789, 1343, 8035, 15049, 981, 14477, 13717, 177481, 0};
static int joe_kuo_d6_initial_number20861[] = {1, 1, 1, 11, 5, 17, 3, 43, 129, 705, 1701, 3635, 1201, 12283, 27443, 54257, 102281, 211859, 0};
static int joe_kuo_d6_initial_number20862[] = {1, 3, 1, 13, 7, 63, 9, 45, 283, 41, 801, 131, 2797, 13329, 19011, 21055, 122965, 7961, 0};
static int joe_kuo_d6_initial_number20863[] = {1, 3, 3, 5, 9, 27, 99, 129, 499, 523, 1939, 3661, 455, 12601, 11723, 3727, 32671, 78251, 0};
static int joe_kuo_d6_initial_number20864[] = {1, 3, 7, 5, 9, 57, 63, 47, 49, 745, 945, 2927, 6659, 1023, 9991, 55379, 105295, 259901, 0};
static int joe_kuo_d6_initial_number20865[] = {1, 1, 3, 3, 3, 47, 15, 237, 193, 409, 1165, 3581, 719, 3049, 14679, 31559, 7825, 96083, 0};
static int joe_kuo_d6_initial_number20866[] = {1, 1, 7, 11, 9, 55, 29, 123, 163, 415, 2013, 97, 1471, 1409, 28867, 50405, 99417, 57113, 0};
static int joe_kuo_d6_initial_number20867[] = {1, 1, 7, 15, 5, 17, 57, 123, 25, 119, 1699, 1289, 3139, 7177, 13465, 33583, 34517, 182669, 0};
static int joe_kuo_d6_initial_number20868[] = {1, 1, 3, 1, 15, 45, 79, 7, 461, 223, 691, 3071, 6233, 14997, 4083, 65391, 60571, 82929, 0};
static int joe_kuo_d6_initial_number20869[] = {1, 3, 5, 1, 25, 39, 89, 105, 497, 685, 1921, 133, 4849, 8467, 609, 62183, 123787, 223025, 0};
static int joe_kuo_d6_initial_number20870[] = {1, 1, 1, 13, 3, 57, 117, 241, 501, 107, 1253, 3097, 603, 10645, 3395, 13997, 112527, 208263, 0};
static int joe_kuo_d6_initial_number20871[] = {1, 1, 7, 9, 7, 31, 25, 97, 205, 785, 517, 549, 6841, 7097, 9635, 17151, 57135, 105469, 0};
static int joe_kuo_d6_initial_number20872[] = {1, 3, 7, 1, 25, 35, 43, 75, 179, 1023, 1921, 1529, 2791, 6747, 9135, 61801, 46729, 26821, 0};
static int joe_kuo_d6_initial_number20873[] = {1, 1, 3, 1, 31, 49, 107, 219, 285, 501, 1503, 3103, 5257, 14561, 31493, 7753, 34375, 260357, 0};
static int joe_kuo_d6_initial_number20874[] = {1, 3, 7, 13, 15, 7, 75, 57, 329, 67, 1541, 2445, 3069, 6723, 10189, 22913, 110781, 243765, 0};
static int joe_kuo_d6_initial_number20875[] = {1, 1, 5, 3, 5, 45, 47, 39, 493, 787, 1019, 3933, 535, 1763, 139, 45967, 123167, 115019, 0};
static int joe_kuo_d6_initial_number20876[] = {1, 3, 1, 3, 23, 59, 93, 139, 349, 973, 1401, 2109, 701, 461, 19199, 21733, 80009, 37239, 0};
static int joe_kuo_d6_initial_number20877[] = {1, 1, 3, 5, 3, 39, 117, 77, 257, 117, 1991, 3371, 509, 3963, 14579, 62459, 52281, 99209, 0};
static int joe_kuo_d6_initial_number20878[] = {1, 3, 1, 15, 29, 47, 73, 157, 429, 497, 39, 123, 4851, 12871, 4567, 29453, 90777, 188683, 0};
static int joe_kuo_d6_initial_number20879[] = {1, 3, 3, 1, 17, 25, 5, 247, 61, 81, 1555, 2167, 6003, 15911, 16023, 7841, 50731, 229163, 0};
static int joe_kuo_d6_initial_number20880[] = {1, 1, 5, 9, 9, 39, 89, 37, 105, 133, 333, 2863, 7249, 2355, 9407, 28145, 25923, 68827, 0};
static int joe_kuo_d6_initial_number20881[] = {1, 3, 7, 13, 15, 55, 11, 93, 197, 447, 1793, 1793, 4639, 1869, 1711, 1439, 15899, 106931, 0};
static int joe_kuo_d6_initial_number20882[] = {1, 1, 5, 13, 23, 11, 67, 155, 511, 363, 1073, 2249, 719, 11167, 7953, 21699, 55735, 47353, 0};
static int joe_kuo_d6_initial_number20883[] = {1, 1, 3, 3, 21, 59, 123, 227, 65, 695, 1769, 4057, 7071, 1827, 13639, 45711, 84019, 96897, 0};
static int joe_kuo_d6_initial_number20884[] = {1, 3, 1, 11, 25, 51, 57, 139, 147, 589, 1565, 511, 3629, 7329, 9565, 62893, 85789, 112047, 0};
static int joe_kuo_d6_initial_number20885[] = {1, 3, 5, 5, 23, 11, 93, 75, 25, 947, 1489, 4081, 3395, 4655, 27853, 41299, 89447, 100971, 0};
static int joe_kuo_d6_initial_number20886[] = {1, 3, 5, 11, 25, 63, 93, 227, 411, 49, 403, 437, 1739, 8453, 31693, 51439, 89729, 113405, 0};
static int joe_kuo_d6_initial_number20887[] = {1, 3, 7, 9, 29, 13, 51, 155, 403, 627, 173, 2111, 833, 11453, 17673, 7121, 52943, 114835, 0};
static int joe_kuo_d6_initial_number20888[] = {1, 1, 5, 13, 11, 11, 105, 101, 309, 577, 1003, 3667, 3489, 11807, 6119, 13773, 89879, 12391, 0};
static int joe_kuo_d6_initial_number20889[] = {1, 3, 7, 9, 17, 11, 111, 239, 225, 723, 933, 3353, 2003, 5273, 207, 38539, 82539, 209781, 0};
static int joe_kuo_d6_initial_number20890[] = {1, 1, 7, 13, 15, 53, 69, 105, 155, 445, 353, 617, 5625, 13439, 29223, 60439, 119635, 49643, 0};
static int joe_kuo_d6_initial_number20891[] = {1, 1, 3, 11, 13, 25, 107, 27, 109, 313, 1721, 2647, 1861, 10631, 17131, 31365, 65319, 102905, 0};
static int joe_kuo_d6_initial_number20892[] = {1, 1, 1, 7, 21, 29, 39, 167, 341, 115, 1523, 2209, 95, 4399, 3881, 38875, 107691, 132471, 0};
static int joe_kuo_d6_initial_number20893[] = {1, 1, 1, 13, 15, 61, 125, 23, 301, 407, 1497, 3731, 7013, 5405, 31233, 51701, 45619, 107407, 0};
static int joe_kuo_d6_initial_number20894[] = {1, 3, 5, 5, 31, 27, 77, 21, 339, 1013, 371, 19, 5733, 2177, 15547, 27595, 6805, 172695, 0};
static int joe_kuo_d6_initial_number20895[] = {1, 3, 5, 11, 5, 15, 71, 23, 441, 169, 1715, 437, 1791, 293, 13441, 11225, 119119, 223035, 0};
static int joe_kuo_d6_initial_number20896[] = {1, 3, 1, 5, 11, 15, 95, 127, 433, 789, 899, 2591, 2339, 8237, 20765, 32897, 51511, 58437, 0};
static int joe_kuo_d6_initial_number20897[] = {1, 3, 5, 9, 11, 57, 103, 5, 401, 51, 1813, 923, 1983, 1853, 21913, 3051, 56309, 19423, 0};
static int joe_kuo_d6_initial_number20898[] = {1, 1, 3, 15, 3, 3, 41, 5, 231, 35, 391, 185, 7585, 1005, 20311, 11193, 18275, 114131, 0};
static int joe_kuo_d6_initial_number20899[] = {1, 1, 3, 9, 13, 13, 115, 203, 223, 575, 459, 1839, 3949, 16027, 23137, 13723, 19195, 249337, 0};
static int joe_kuo_d6_initial_number20900[] = {1, 1, 1, 9, 21, 51, 39, 245, 187, 609, 319, 2927, 3625, 10789, 31291, 45557, 45935, 132447, 0};
static int joe_kuo_d6_initial_number20901[] = {1, 3, 3, 9, 25, 37, 47, 55, 219, 409, 1927, 553, 3953, 6209, 11807, 11133, 48047, 132437, 0};
static int joe_kuo_d6_initial_number20902[] = {1, 3, 1, 13, 23, 31, 109, 167, 281, 179, 233, 1603, 7391, 9091, 27021, 31213, 13093, 86017, 0};
static int joe_kuo_d6_initial_number20903[] = {1, 3, 1, 13, 13, 15, 7, 29, 409, 59, 505, 1307, 6247, 6055, 5531, 59727, 58069, 84049, 0};
static int joe_kuo_d6_initial_number20904[] = {1, 1, 5, 7, 19, 7, 103, 245, 133, 609, 1087, 2365, 3341, 1689, 18841, 19625, 47413, 63445, 0};
static int joe_kuo_d6_initial_number20905[] = {1, 1, 7, 3, 11, 27, 79, 75, 97, 355, 493, 2035, 3413, 11835, 9157, 51173, 1, 71797, 0};
static int joe_kuo_d6_initial_number20906[] = {1, 1, 5, 5, 29, 1, 43, 135, 473, 329, 1197, 1693, 3823, 7723, 24771, 22349, 94383, 41461, 0};
static int joe_kuo_d6_initial_number20907[] = {1, 3, 3, 15, 25, 9, 79, 213, 317, 615, 541, 441, 505, 13665, 3691, 17825, 49303, 91783, 0};
static int joe_kuo_d6_initial_number20908[] = {1, 3, 1, 11, 27, 33, 65, 31, 469, 799, 1251, 3357, 5239, 5651, 13317, 28553, 64225, 9805, 0};
static int joe_kuo_d6_initial_number20909[] = {1, 1, 7, 13, 9, 49, 77, 43, 363, 719, 1943, 1285, 1587, 1047, 29419, 24025, 89901, 229095, 0};
static int joe_kuo_d6_initial_number20910[] = {1, 1, 1, 15, 19, 57, 33, 243, 111, 183, 497, 603, 923, 1957, 6493, 11833, 7331, 229975, 0};
static int joe_kuo_d6_initial_number20911[] = {1, 3, 1, 1, 13, 43, 31, 25, 169, 303, 69, 723, 1745, 1025, 14301, 2523, 111887, 179519, 0};
static int joe_kuo_d6_initial_number20912[] = {1, 3, 1, 5, 31, 55, 11, 103, 391, 881, 1885, 3923, 7507, 377, 29331, 32167, 56915, 44211, 0};
static int joe_kuo_d6_initial_number20913[] = {1, 1, 7, 1, 27, 55, 33, 141, 393, 73, 701, 3173, 973, 15553, 10219, 51441, 55201, 131055, 0};
static int joe_kuo_d6_initial_number20914[] = {1, 1, 3, 9, 1, 31, 115, 85, 173, 227, 163, 157, 5569, 8291, 27163, 7581, 8699, 104523, 0};
static int joe_kuo_d6_initial_number20915[] = {1, 1, 1, 5, 5, 19, 11, 55, 217, 571, 1001, 945, 6237, 1993, 11809, 63893, 60081, 102997, 0};
static int joe_kuo_d6_initial_number20916[] = {1, 3, 3, 15, 15, 7, 51, 161, 147, 263, 1701, 1079, 3027, 11779, 24885, 16127, 68985, 162975, 0};
static int joe_kuo_d6_initial_number20917[] = {1, 3, 1, 9, 25, 1, 47, 107, 149, 997, 1779, 2905, 4951, 10345, 31059, 63831, 117219, 251935, 0};
static int joe_kuo_d6_initial_number20918[] = {1, 3, 3, 9, 5, 23, 83, 95, 399, 343, 1597, 1733, 5959, 9685, 4721, 59109, 113633, 80365, 0};
static int joe_kuo_d6_initial_number20919[] = {1, 1, 7, 11, 31, 43, 71, 133, 305, 529, 645, 3095, 6273, 4019, 14433, 41609, 64093, 79051, 0};
static int joe_kuo_d6_initial_number20920[] = {1, 3, 5, 11, 1, 63, 123, 25, 245, 583, 1013, 3275, 2997, 13021, 27515, 16233, 113093, 249101, 0};
static int joe_kuo_d6_initial_number20921[] = {1, 1, 1, 9, 3, 59, 113, 155, 125, 423, 259, 1559, 3745, 9105, 27673, 36601, 36117, 47953, 0};
static int joe_kuo_d6_initial_number20922[] = {1, 3, 3, 7, 19, 41, 55, 87, 53, 801, 661, 329, 3391, 7581, 25487, 25751, 120171, 35953, 0};
static int joe_kuo_d6_initial_number20923[] = {1, 1, 7, 15, 31, 57, 49, 179, 147, 139, 957, 289, 4321, 8747, 53, 46003, 40219, 96855, 0};
static int joe_kuo_d6_initial_number20924[] = {1, 1, 7, 9, 29, 49, 71, 101, 389, 793, 1355, 3263, 6331, 4869, 28479, 8335, 74653, 8519, 0};
static int joe_kuo_d6_initial_number20925[] = {1, 1, 1, 13, 1, 19, 31, 161, 261, 679, 1115, 985, 2855, 4395, 15087, 18593, 98535, 52537, 0};
static int joe_kuo_d6_initial_number20926[] = {1, 1, 3, 11, 15, 51, 79, 7, 75, 75, 753, 2637, 7193, 7961, 21411, 24273, 7543, 6277, 0};
static int joe_kuo_d6_initial_number20927[] = {1, 3, 1, 5, 5, 51, 67, 191, 201, 777, 587, 1439, 1027, 3759, 31141, 42159, 58475, 7355, 0};
static int joe_kuo_d6_initial_number20928[] = {1, 3, 5, 3, 15, 37, 11, 251, 53, 799, 739, 2225, 6985, 9183, 12341, 29963, 44101, 23889, 0};
static int joe_kuo_d6_initial_number20929[] = {1, 1, 3, 3, 5, 33, 81, 223, 89, 531, 301, 305, 2401, 4015, 18607, 65041, 82447, 228487, 0};
static int joe_kuo_d6_initial_number20930[] = {1, 3, 1, 7, 15, 29, 71, 247, 445, 1005, 1229, 3897, 899, 11175, 6349, 29145, 103153, 90275, 0};
static int joe_kuo_d6_initial_number20931[] = {1, 3, 3, 7, 15, 7, 75, 13, 417, 719, 121, 1345, 3737, 4119, 15259, 33579, 57727, 111517, 0};
static int joe_kuo_d6_initial_number20932[] = {1, 3, 7, 3, 31, 11, 49, 61, 405, 741, 1607, 1561, 4655, 9775, 14349, 27431, 91791, 228607, 0};
static int joe_kuo_d6_initial_number20933[] = {1, 3, 5, 13, 17, 27, 93, 153, 99, 683, 219, 3783, 6963, 1633, 6621, 8133, 5111, 57333, 0};
static int joe_kuo_d6_initial_number20934[] = {1, 3, 3, 3, 25, 29, 75, 155, 159, 25, 637, 3053, 4737, 5831, 9651, 45331, 100407, 188607, 0};
static int joe_kuo_d6_initial_number20935[] = {1, 3, 1, 9, 21, 55, 123, 27, 509, 227, 1569, 1379, 7137, 11749, 14257, 38349, 459, 54873, 0};
static int joe_kuo_d6_initial_number20936[] = {1, 1, 7, 15, 29, 35, 81, 79, 237, 155, 1551, 343, 5127, 3233, 3691, 59917, 7367, 181979, 0};
static int joe_kuo_d6_initial_number20937[] = {1, 3, 1, 15, 1, 57, 111, 121, 375, 635, 1529, 635, 2337, 6553, 22067, 36047, 80099, 116411, 0};
static int joe_kuo_d6_initial_number20938[] = {1, 1, 3, 3, 29, 27, 19, 3, 69, 197, 1829, 1907, 5901, 12651, 3295, 7805, 57871, 47571, 0};
static int joe_kuo_d6_initial_number20939[] = {1, 1, 1, 13, 21, 5, 115, 51, 203, 991, 1731, 1101, 1607, 14323, 12233, 48047, 33969, 147621, 0};
static int joe_kuo_d6_initial_number20940[] = {1, 3, 3, 1, 25, 55, 41, 31, 101, 551, 1519, 1915, 6961, 13919, 15339, 13141, 107625, 9247, 0};
static int joe_kuo_d6_initial_number20941[] = {1, 1, 7, 11, 17, 25, 87, 175, 341, 445, 1813, 2995, 3217, 6015, 1637, 65243, 72743, 248715, 0};
static int joe_kuo_d6_initial_number20942[] = {1, 1, 5, 13, 11, 1, 61, 139, 233, 167, 1363, 1991, 7999, 16289, 25595, 8915, 32205, 169963, 0};
static int joe_kuo_d6_initial_number20943[] = {1, 1, 1, 13, 31, 33, 67, 57, 121, 477, 755, 2035, 3683, 16205, 5511, 25615, 5169, 128843, 0};
static int joe_kuo_d6_initial_number20944[] = {1, 3, 5, 15, 31, 1, 89, 29, 493, 379, 1627, 491, 2503, 8105, 30275, 27379, 43905, 46397, 0};
static int joe_kuo_d6_initial_number20945[] = {1, 1, 7, 9, 31, 41, 127, 121, 61, 561, 223, 3231, 7321, 3683, 15455, 8019, 116739, 96557, 0};
static int joe_kuo_d6_initial_number20946[] = {1, 1, 5, 9, 19, 41, 25, 65, 111, 535, 611, 1631, 4251, 107, 19787, 40749, 65701, 48749, 0};
static int joe_kuo_d6_initial_number20947[] = {1, 3, 3, 11, 27, 49, 75, 93, 15, 937, 1517, 1577, 7485, 8713, 15979, 13799, 103057, 144799, 0};
static int joe_kuo_d6_initial_number20948[] = {1, 1, 7, 7, 7, 29, 3, 63, 177, 781, 2001, 315, 6703, 8055, 19081, 33641, 44279, 87597, 0};
static int joe_kuo_d6_initial_number20949[] = {1, 1, 7, 11, 29, 53, 83, 223, 275, 951, 1883, 2447, 1815, 9313, 9247, 17185, 8143, 135247, 0};
static int joe_kuo_d6_initial_number20950[] = {1, 1, 5, 13, 21, 47, 87, 55, 169, 95, 777, 2787, 7227, 11373, 16707, 28237, 30789, 64589, 0};
static int joe_kuo_d6_initial_number20951[] = {1, 1, 1, 11, 15, 41, 1, 55, 337, 493, 1379, 2505, 6831, 10955, 1875, 21821, 54101, 9379, 0};
static int joe_kuo_d6_initial_number20952[] = {1, 3, 5, 15, 27, 9, 121, 49, 439, 781, 1457, 1341, 7433, 5879, 13039, 24001, 64059, 157077, 0};
static int joe_kuo_d6_initial_number20953[] = {1, 1, 1, 9, 19, 55, 89, 37, 255, 345, 215, 4067, 8151, 14253, 12121, 3637, 29185, 60643, 0};
static int joe_kuo_d6_initial_number20954[] = {1, 3, 1, 7, 31, 39, 71, 29, 71, 83, 1249, 871, 8037, 1001, 25245, 26651, 34509, 123607, 0};
static int joe_kuo_d6_initial_number20955[] = {1, 1, 3, 11, 13, 21, 15, 171, 255, 373, 429, 2179, 4431, 16087, 17949, 16307, 129877, 186495, 0};
static int joe_kuo_d6_initial_number20956[] = {1, 3, 3, 9, 17, 45, 75, 175, 3, 403, 215, 1781, 7875, 14113, 6967, 65263, 125885, 232983, 0};
static int joe_kuo_d6_initial_number20957[] = {1, 1, 7, 9, 21, 57, 73, 105, 163, 583, 587, 2743, 2199, 5187, 5571, 56399, 797, 192405, 0};
static int joe_kuo_d6_initial_number20958[] = {1, 1, 1, 3, 29, 27, 71, 145, 11, 455, 1505, 2789, 4083, 12345, 14785, 4981, 95121, 134977, 0};
static int joe_kuo_d6_initial_number20959[] = {1, 1, 1, 1, 1, 27, 1, 145, 473, 483, 83, 3009, 7241, 13633, 15071, 30767, 128103, 94727, 0};
static int joe_kuo_d6_initial_number20960[] = {1, 3, 5, 15, 17, 51, 71, 21, 237, 65, 901, 3365, 7831, 3027, 8751, 14435, 79445, 172587, 0};
static int joe_kuo_d6_initial_number20961[] = {1, 1, 5, 1, 9, 49, 49, 31, 395, 339, 343, 1813, 2607, 9347, 11239, 6761, 127623, 43459, 0};
static int joe_kuo_d6_initial_number20962[] = {1, 1, 1, 1, 13, 23, 71, 131, 225, 229, 117, 889, 8145, 5953, 10679, 38687, 80029, 63689, 0};
static int joe_kuo_d6_initial_number20963[] = {1, 1, 5, 1, 29, 1, 87, 181, 441, 353, 257, 335, 203, 10897, 24085, 26967, 62573, 170285, 0};
static int joe_kuo_d6_initial_number20964[] = {1, 1, 7, 3, 3, 39, 47, 135, 353, 977, 89, 259, 6411, 5511, 10697, 57623, 27367, 108451, 0};
static int joe_kuo_d6_initial_number20965[] = {1, 3, 3, 11, 9, 57, 95, 211, 237, 281, 1703, 2107, 2179, 3411, 32621, 5387, 29971, 102889, 0};
static int joe_kuo_d6_initial_number20966[] = {1, 1, 1, 13, 27, 49, 47, 49, 413, 985, 649, 1245, 807, 13637, 21741, 32565, 80135, 127971, 0};
static int joe_kuo_d6_initial_number20967[] = {1, 3, 7, 13, 3, 19, 57, 97, 493, 597, 135, 1689, 5011, 4579, 6093, 28341, 37279, 142197, 0};
static int joe_kuo_d6_initial_number20968[] = {1, 3, 1, 15, 15, 31, 3, 89, 327, 107, 827, 1111, 261, 6211, 4359, 38553, 43297, 75057, 0};
static int joe_kuo_d6_initial_number20969[] = {1, 1, 1, 9, 19, 19, 53, 195, 141, 297, 141, 3859, 4173, 12243, 31399, 6353, 110505, 172219, 0};
static int joe_kuo_d6_initial_number20970[] = {1, 3, 3, 9, 31, 51, 59, 53, 55, 723, 1575, 3399, 8057, 12317, 8393, 1719, 96987, 228955, 0};
static int joe_kuo_d6_initial_number20971[] = {1, 1, 7, 11, 19, 59, 41, 9, 217, 267, 629, 2977, 4515, 463, 31773, 61765, 78827, 51331, 0};
static int joe_kuo_d6_initial_number20972[] = {1, 3, 3, 13, 9, 55, 51, 177, 183, 431, 555, 3573, 7977, 3067, 21111, 12971, 78283, 260721, 0};
static int joe_kuo_d6_initial_number20973[] = {1, 1, 1, 11, 27, 5, 89, 69, 435, 199, 221, 1017, 7703, 7469, 7755, 46319, 37941, 55285, 0};
static int joe_kuo_d6_initial_number20974[] = {1, 1, 7, 13, 19, 55, 53, 207, 367, 177, 1483, 2857, 3753, 5493, 13349, 14033, 7933, 93457, 0};
static int joe_kuo_d6_initial_number20975[] = {1, 1, 7, 3, 27, 35, 19, 223, 341, 137, 1195, 1263, 5937, 13517, 55, 6391, 106173, 176503, 0};
static int joe_kuo_d6_initial_number20976[] = {1, 3, 7, 11, 23, 25, 37, 103, 351, 945, 1205, 2543, 3875, 155, 27777, 36647, 47979, 25113, 0};
static int joe_kuo_d6_initial_number20977[] = {1, 1, 3, 15, 25, 59, 79, 39, 17, 553, 1119, 3353, 2619, 3851, 5945, 47501, 17369, 89355, 0};
static int joe_kuo_d6_initial_number20978[] = {1, 1, 1, 13, 9, 55, 13, 173, 207, 925, 1855, 1871, 7851, 1361, 20117, 51677, 77703, 51309, 0};
static int joe_kuo_d6_initial_number20979[] = {1, 3, 1, 1, 31, 57, 3, 25, 329, 927, 1683, 1447, 6853, 103, 9549, 21393, 415, 122749, 0};
static int joe_kuo_d6_initial_number20980[] = {1, 1, 5, 5, 31, 61, 31, 213, 85, 531, 931, 999, 1189, 5189, 15127, 47799, 70769, 81901, 0};
static int joe_kuo_d6_initial_number20981[] = {1, 1, 3, 1, 5, 59, 89, 53, 105, 761, 313, 3013, 4093, 9595, 4287, 51505, 20095, 232933, 0};
static int joe_kuo_d6_initial_number20982[] = {1, 1, 7, 7, 23, 9, 41, 29, 399, 395, 759, 2541, 2373, 15365, 12083, 49579, 34401, 168121, 0};
static int joe_kuo_d6_initial_number20983[] = {1, 1, 3, 1, 7, 23, 37, 183, 205, 377, 1081, 1081, 7767, 363, 14571, 16265, 18267, 102155, 0};
static int joe_kuo_d6_initial_number20984[] = {1, 3, 3, 15, 19, 11, 59, 59, 465, 437, 965, 3707, 3505, 14785, 23605, 12505, 130607, 40693, 0};
static int joe_kuo_d6_initial_number20985[] = {1, 1, 3, 13, 5, 15, 91, 33, 235, 215, 1997, 2035, 7407, 3203, 27143, 14007, 96411, 593, 0};
static int joe_kuo_d6_initial_number20986[] = {1, 3, 7, 1, 19, 51, 1, 69, 489, 629, 1731, 393, 6807, 10521, 23971, 45649, 105183, 207351, 0};
static int joe_kuo_d6_initial_number20987[] = {1, 3, 5, 3, 5, 41, 89, 141, 469, 177, 109, 2439, 7155, 2083, 31993, 13933, 100557, 137255, 0};
static int joe_kuo_d6_initial_number20988[] = {1, 1, 7, 15, 21, 45, 41, 197, 365, 177, 61, 811, 2535, 5219, 3689, 53129, 42063, 60759, 0};
static int joe_kuo_d6_initial_number20989[] = {1, 3, 5, 1, 23, 7, 19, 193, 253, 793, 539, 3747, 2611, 16211, 17199, 14875, 95377, 6999, 0};
static int joe_kuo_d6_initial_number20990[] = {1, 1, 3, 5, 9, 5, 9, 129, 217, 473, 151, 3053, 6981, 8075, 32121, 31995, 41271, 208927, 0};
static int joe_kuo_d6_initial_number20991[] = {1, 1, 5, 9, 9, 9, 89, 139, 381, 937, 1937, 1879, 8191, 2237, 25629, 51471, 87639, 173697, 0};
static int joe_kuo_d6_initial_number20992[] = {1, 1, 5, 9, 17, 35, 81, 223, 161, 315, 139, 2597, 2599, 16191, 2567, 54947, 8603, 121589, 0};
static int joe_kuo_d6_initial_number20993[] = {1, 1, 5, 5, 9, 7, 33, 49, 49, 723, 1013, 1055, 4025, 1471, 30081, 17475, 127931, 63723, 0};
static int joe_kuo_d6_initial_number20994[] = {1, 3, 7, 7, 9, 49, 107, 17, 335, 119, 1959, 3613, 8129, 11033, 12197, 23803, 112595, 131655, 0};
static int joe_kuo_d6_initial_number20995[] = {1, 3, 5, 11, 3, 45, 91, 17, 181, 1005, 985, 3045, 853, 8181, 5517, 48515, 16225, 237151, 0};
static int joe_kuo_d6_initial_number20996[] = {1, 1, 3, 1, 3, 63, 35, 135, 61, 383, 1233, 675, 151, 2157, 18711, 37113, 40353, 61783, 0};
static int joe_kuo_d6_initial_number20997[] = {1, 3, 5, 5, 29, 3, 105, 11, 351, 761, 165, 911, 6903, 10111, 1779, 24601, 3177, 110301, 0};
static int joe_kuo_d6_initial_number20998[] = {1, 1, 3, 15, 25, 19, 73, 237, 263, 161, 731, 3853, 7705, 14497, 30799, 32979, 100729, 21761, 0};
static int joe_kuo_d6_initial_number20999[] = {1, 1, 3, 5, 27, 9, 3, 149, 207, 715, 1435, 2563, 2451, 7951, 26313, 55115, 99423, 231639, 0};
static int joe_kuo_d6_initial_number21000[] = {1, 1, 5, 15, 11, 51, 13, 47, 311, 969, 2013, 357, 4847, 1831, 2235, 22779, 32375, 40893, 0};
static int joe_kuo_d6_initial_number21001[] = {1, 1, 3, 9, 21, 45, 11, 99, 275, 849, 443, 1257, 7855, 9121, 6549, 20289, 101337, 13869, 0};
static int joe_kuo_d6_initial_number21002[] = {1, 1, 1, 15, 25, 27, 15, 111, 215, 437, 1923, 1985, 4603, 15469, 6667, 17941, 50433, 152759, 0};
static int joe_kuo_d6_initial_number21003[] = {1, 3, 7, 15, 7, 37, 119, 53, 337, 853, 1785, 3507, 3743, 14303, 22757, 5149, 1539, 227051, 0};
static int joe_kuo_d6_initial_number21004[] = {1, 1, 3, 13, 11, 23, 55, 19, 495, 531, 1021, 3831, 5993, 15819, 2121, 52773, 19775, 94643, 0};
static int joe_kuo_d6_initial_number21005[] = {1, 1, 3, 3, 23, 55, 55, 69, 457, 755, 1187, 3993, 613, 12691, 1779, 21251, 2293, 236725, 0};
static int joe_kuo_d6_initial_number21006[] = {1, 1, 5, 9, 23, 27, 61, 125, 113, 99, 503, 699, 6873, 13141, 10649, 65209, 21773, 162749, 0};
static int joe_kuo_d6_initial_number21007[] = {1, 1, 1, 11, 15, 27, 111, 227, 493, 361, 1071, 607, 1409, 9281, 24515, 26739, 82421, 30463, 0};
static int joe_kuo_d6_initial_number21008[] = {1, 3, 5, 1, 11, 57, 23, 239, 265, 675, 441, 4031, 5163, 15729, 2741, 26037, 32533, 140645, 0};
static int joe_kuo_d6_initial_number21009[] = {1, 3, 3, 7, 3, 45, 105, 135, 493, 579, 1707, 2933, 1135, 11891, 3171, 45401, 24993, 175681, 0};
static int joe_kuo_d6_initial_number21010[] = {1, 1, 1, 11, 11, 3, 67, 213, 483, 9, 1053, 213, 3205, 8487, 16093, 7305, 122591, 31811, 0};
static int joe_kuo_d6_initial_number21011[] = {1, 1, 5, 13, 19, 31, 13, 65, 29, 929, 343, 463, 1885, 13467, 14997, 22737, 42869, 128239, 0};
static int joe_kuo_d6_initial_number21012[] = {1, 3, 3, 13, 9, 47, 125, 33, 475, 285, 1901, 2525, 305, 11587, 27309, 30037, 70681, 180425, 0};
static int joe_kuo_d6_initial_number21013[] = {1, 3, 5, 15, 9, 37, 45, 149, 19, 135, 555, 4037, 5173, 12473, 983, 40923, 28561, 185941, 0};
static int joe_kuo_d6_initial_number21014[] = {1, 3, 3, 9, 23, 35, 35, 151, 113, 885, 1553, 2233, 351, 4071, 28127, 26109, 12299, 163973, 0};
static int joe_kuo_d6_initial_number21015[] = {1, 3, 3, 11, 17, 55, 125, 87, 315, 917, 383, 2397, 1573, 9255, 10499, 16051, 99487, 139415, 0};
static int joe_kuo_d6_initial_number21016[] = {1, 1, 3, 1, 29, 21, 101, 153, 5, 705, 1965, 1447, 8163, 13547, 25929, 28569, 57897, 173229, 0};
static int joe_kuo_d6_initial_number21017[] = {1, 1, 7, 15, 3, 37, 113, 213, 495, 935, 529, 2299, 6901, 1765, 4255, 14579, 14175, 112333, 0};
static int joe_kuo_d6_initial_number21018[] = {1, 3, 3, 9, 11, 53, 89, 27, 461, 235, 1525, 3533, 3061, 4351, 12847, 21649, 10843, 60901, 0};
static int joe_kuo_d6_initial_number21019[] = {1, 1, 5, 1, 17, 11, 17, 157, 387, 887, 2017, 3641, 923, 12659, 19691, 18657, 3127, 218819, 0};
static int joe_kuo_d6_initial_number21020[] = {1, 3, 1, 9, 5, 3, 49, 215, 379, 765, 1375, 345, 2285, 8197, 9531, 6725, 22475, 203883, 0};
static int joe_kuo_d6_initial_number21021[] = {1, 1, 3, 9, 19, 41, 13, 233, 97, 755, 249, 2011, 5815, 6317, 4121, 63637, 43353, 154753, 0};
static int joe_kuo_d6_initial_number21022[] = {1, 3, 7, 15, 31, 25, 93, 197, 455, 979, 1805, 2619, 803, 5705, 1679, 29317, 66477, 159187, 0};
static int joe_kuo_d6_initial_number21023[] = {1, 1, 1, 13, 11, 25, 61, 233, 339, 171, 559, 427, 3239, 8889, 3711, 19743, 18099, 49201, 0};
static int joe_kuo_d6_initial_number21024[] = {1, 3, 7, 13, 19, 5, 9, 183, 355, 137, 1767, 1113, 1149, 5791, 4099, 37911, 75945, 115397, 0};
static int joe_kuo_d6_initial_number21025[] = {1, 1, 3, 13, 27, 25, 121, 3, 337, 195, 1841, 2009, 4181, 3197, 20275, 42493, 7495, 24407, 0};
static int joe_kuo_d6_initial_number21026[] = {1, 1, 1, 15, 3, 43, 39, 25, 57, 829, 565, 1977, 4027, 11053, 13961, 13965, 4207, 1663, 0};
static int joe_kuo_d6_initial_number21027[] = {1, 3, 5, 9, 11, 7, 107, 205, 479, 961, 1549, 1701, 6305, 15419, 23331, 46443, 55171, 235109, 0};
static int joe_kuo_d6_initial_number21028[] = {1, 3, 5, 5, 19, 3, 39, 211, 429, 363, 765, 283, 2469, 1947, 10481, 1969, 95545, 187671, 0};
static int joe_kuo_d6_initial_number21029[] = {1, 1, 1, 1, 11, 55, 47, 121, 251, 63, 767, 3673, 3233, 14865, 25713, 48443, 79139, 225021, 0};
static int joe_kuo_d6_initial_number21030[] = {1, 1, 3, 11, 25, 35, 57, 103, 385, 155, 173, 4023, 489, 1733, 14423, 61843, 24793, 9871, 0};
static int joe_kuo_d6_initial_number21031[] = {1, 3, 1, 15, 9, 29, 99, 187, 471, 877, 1321, 2489, 7439, 4259, 32703, 1459, 42093, 261097, 0};
static int joe_kuo_d6_initial_number21032[] = {1, 1, 3, 11, 9, 25, 113, 251, 337, 405, 847, 2451, 5649, 3449, 11703, 18271, 108005, 208789, 0};
static int joe_kuo_d6_initial_number21033[] = {1, 3, 3, 7, 13, 53, 61, 251, 461, 461, 1557, 1215, 6731, 13349, 21003, 11573, 66751, 79733, 0};
static int joe_kuo_d6_initial_number21034[] = {1, 1, 5, 1, 23, 49, 101, 175, 251, 577, 1667, 2561, 6545, 16305, 18457, 65067, 35843, 123445, 0};
static int joe_kuo_d6_initial_number21035[] = {1, 1, 5, 3, 7, 9, 61, 107, 395, 137, 559, 2315, 2559, 11929, 4843, 41661, 61361, 146163, 0};
static int joe_kuo_d6_initial_number21036[] = {1, 3, 1, 5, 1, 3, 43, 251, 329, 289, 323, 2201, 4129, 4963, 27477, 18743, 46551, 93061, 0};
static int joe_kuo_d6_initial_number21037[] = {1, 1, 7, 3, 17, 63, 21, 159, 447, 377, 69, 2517, 8181, 6043, 3039, 7747, 72465, 41027, 0};
static int joe_kuo_d6_initial_number21038[] = {1, 1, 1, 1, 13, 3, 45, 93, 391, 509, 867, 1561, 5017, 11851, 24891, 22531, 18993, 129421, 0};
static int joe_kuo_d6_initial_number21039[] = {1, 3, 3, 11, 15, 1, 127, 9, 161, 321, 2003, 239, 1379, 11903, 13503, 26529, 57725, 214797, 0};
static int joe_kuo_d6_initial_number21040[] = {1, 1, 1, 13, 31, 11, 17, 25, 1, 645, 675, 735, 2083, 1919, 18977, 4995, 91559, 230463, 0};
static int joe_kuo_d6_initial_number21041[] = {1, 3, 1, 13, 17, 21, 107, 167, 135, 797, 715, 3275, 5437, 4253, 11671, 14867, 36041, 71751, 0};
static int joe_kuo_d6_initial_number21042[] = {1, 3, 5, 5, 11, 49, 93, 231, 431, 567, 1605, 3281, 7049, 2947, 863, 39593, 117167, 167301, 0};
static int joe_kuo_d6_initial_number21043[] = {1, 1, 1, 1, 5, 13, 61, 91, 127, 189, 1879, 3921, 4303, 4831, 6765, 31005, 107627, 80693, 0};
static int joe_kuo_d6_initial_number21044[] = {1, 3, 1, 3, 1, 49, 61, 9, 467, 891, 105, 317, 137, 12789, 12367, 57455, 39777, 88047, 0};
static int joe_kuo_d6_initial_number21045[] = {1, 1, 3, 13, 23, 63, 37, 103, 23, 223, 647, 2523, 3211, 14551, 22663, 48237, 54777, 180297, 0};
static int joe_kuo_d6_initial_number21046[] = {1, 3, 3, 7, 29, 51, 85, 179, 441, 431, 535, 2975, 8083, 8619, 30229, 31421, 54063, 163601, 0};
static int joe_kuo_d6_initial_number21047[] = {1, 3, 1, 1, 27, 39, 125, 171, 57, 729, 511, 957, 7541, 2347, 1669, 32323, 108531, 69943, 0};
static int joe_kuo_d6_initial_number21048[] = {1, 3, 3, 7, 1, 33, 89, 245, 95, 21, 699, 1441, 2659, 501, 32323, 39145, 82311, 155479, 0};
static int joe_kuo_d6_initial_number21049[] = {1, 1, 3, 11, 29, 13, 87, 251, 329, 667, 325, 2411, 7959, 8069, 20817, 42445, 121675, 113421, 0};
static int joe_kuo_d6_initial_number21050[] = {1, 1, 1, 7, 9, 57, 109, 237, 325, 535, 89, 1285, 5649, 13673, 29375, 51553, 81723, 11003, 0};
static int joe_kuo_d6_initial_number21051[] = {1, 3, 1, 1, 13, 5, 31, 109, 157, 817, 1303, 725, 1841, 5503, 2255, 34637, 93603, 82825, 0};
static int joe_kuo_d6_initial_number21052[] = {1, 3, 7, 7, 5, 33, 39, 233, 217, 157, 357, 2727, 3565, 1539, 5317, 23967, 30375, 260381, 0};
static int joe_kuo_d6_initial_number21053[] = {1, 1, 5, 3, 23, 51, 45, 181, 353, 519, 949, 3043, 1517, 3387, 15081, 5997, 31523, 80007, 0};
static int joe_kuo_d6_initial_number21054[] = {1, 1, 3, 5, 23, 21, 83, 51, 275, 629, 1433, 1821, 3761, 2367, 32089, 13813, 99629, 64603, 0};
static int joe_kuo_d6_initial_number21055[] = {1, 1, 5, 15, 11, 49, 69, 197, 193, 459, 1915, 787, 3631, 5219, 11109, 12311, 56625, 117439, 0};
static int joe_kuo_d6_initial_number21056[] = {1, 3, 3, 3, 31, 29, 57, 27, 43, 231, 777, 2139, 2609, 12273, 23777, 4151, 51749, 110013, 0};
static int joe_kuo_d6_initial_number21057[] = {1, 1, 5, 13, 9, 63, 83, 69, 225, 913, 99, 1167, 5279, 14163, 3979, 55151, 84387, 234583, 0};
static int joe_kuo_d6_initial_number21058[] = {1, 1, 7, 5, 9, 57, 87, 23, 335, 403, 1843, 725, 5187, 4137, 24299, 44807, 98523, 217815, 0};
static int joe_kuo_d6_initial_number21059[] = {1, 3, 3, 3, 3, 23, 115, 229, 193, 655, 1205, 3159, 1935, 113, 20943, 32917, 69633, 2133, 0};
static int joe_kuo_d6_initial_number21060[] = {1, 3, 3, 1, 17, 5, 59, 139, 75, 185, 1951, 3689, 4997, 2761, 8673, 41783, 75075, 101063, 0};
static int joe_kuo_d6_initial_number21061[] = {1, 3, 1, 13, 1, 51, 63, 127, 67, 743, 1049, 2055, 4249, 131, 8153, 50237, 28135, 76059, 0};
static int joe_kuo_d6_initial_number21062[] = {1, 3, 7, 13, 5, 39, 83, 63, 429, 573, 1915, 3801, 2223, 1585, 16997, 45571, 23311, 108099, 0};
static int joe_kuo_d6_initial_number21063[] = {1, 3, 1, 3, 15, 49, 19, 65, 433, 401, 1901, 3653, 2399, 15171, 9695, 30257, 104877, 181221, 0};
static int joe_kuo_d6_initial_number21064[] = {1, 3, 1, 1, 25, 37, 89, 7, 81, 343, 949, 3535, 1681, 10089, 23513, 3897, 127083, 214005, 0};
static int joe_kuo_d6_initial_number21065[] = {1, 3, 7, 13, 1, 1, 123, 89, 433, 541, 1579, 931, 3459, 11095, 20729, 13117, 59323, 90309, 0};
static int joe_kuo_d6_initial_number21066[] = {1, 1, 7, 1, 19, 9, 31, 211, 271, 25, 1053, 2249, 6549, 12785, 16947, 55633, 70155, 253741, 0};
static int joe_kuo_d6_initial_number21067[] = {1, 3, 5, 9, 7, 49, 11, 251, 101, 795, 1015, 2037, 1239, 10151, 22179, 749, 2373, 224517, 0};
static int joe_kuo_d6_initial_number21068[] = {1, 3, 7, 15, 21, 19, 15, 59, 439, 621, 1081, 3041, 1587, 3077, 2319, 51135, 110513, 222551, 0};
static int joe_kuo_d6_initial_number21069[] = {1, 1, 5, 5, 9, 61, 49, 97, 361, 647, 351, 1977, 3023, 10213, 6889, 8753, 72203, 37521, 0};
static int joe_kuo_d6_initial_number21070[] = {1, 3, 3, 1, 7, 29, 51, 117, 259, 81, 1263, 1829, 6541, 5699, 30367, 61325, 78795, 3491, 0};
static int joe_kuo_d6_initial_number21071[] = {1, 1, 1, 5, 5, 23, 19, 255, 267, 251, 239, 3561, 6771, 10647, 4129, 40285, 11041, 27023, 0};
static int joe_kuo_d6_initial_number21072[] = {1, 1, 7, 5, 29, 17, 121, 91, 427, 51, 243, 1617, 5389, 3633, 14105, 5329, 109507, 93719, 0};
static int joe_kuo_d6_initial_number21073[] = {1, 3, 7, 5, 7, 59, 107, 89, 181, 719, 1029, 585, 2415, 9175, 11605, 9271, 12105, 42503, 0};
static int joe_kuo_d6_initial_number21074[] = {1, 3, 5, 15, 27, 15, 83, 223, 489, 901, 1823, 1515, 6295, 12509, 27179, 181, 29813, 66163, 0};
static int joe_kuo_d6_initial_number21075[] = {1, 1, 7, 15, 5, 9, 79, 29, 201, 391, 609, 935, 4025, 201, 8333, 24557, 33739, 257979, 0};
static int joe_kuo_d6_initial_number21076[] = {1, 3, 3, 9, 9, 19, 55, 211, 347, 943, 559, 467, 1363, 10249, 7109, 41293, 28035, 205889, 0};
static int joe_kuo_d6_initial_number21077[] = {1, 1, 5, 3, 21, 25, 25, 163, 95, 119, 789, 1679, 3845, 1427, 25531, 13375, 121029, 194845, 0};
static int joe_kuo_d6_initial_number21078[] = {1, 1, 5, 3, 31, 21, 83, 27, 17, 59, 885, 3889, 4795, 4383, 28739, 55129, 10387, 176437, 0};
static int joe_kuo_d6_initial_number21079[] = {1, 3, 1, 5, 31, 39, 37, 79, 433, 313, 1155, 3025, 6141, 10695, 27819, 28227, 32161, 250515, 0};
static int joe_kuo_d6_initial_number21080[] = {1, 1, 5, 9, 27, 41, 3, 129, 235, 621, 1171, 3305, 6309, 5323, 15049, 16301, 13817, 238521, 0};
static int joe_kuo_d6_initial_number21081[] = {1, 3, 7, 7, 27, 31, 63, 143, 183, 625, 1627, 3093, 6597, 14089, 30197, 60411, 66221, 221691, 0};
static int joe_kuo_d6_initial_number21082[] = {1, 3, 7, 13, 21, 15, 59, 67, 441, 113, 1229, 1587, 5889, 6691, 10641, 11865, 89791, 82867, 0};
static int joe_kuo_d6_initial_number21083[] = {1, 1, 7, 9, 13, 21, 53, 145, 235, 877, 2005, 1005, 7137, 6091, 19611, 25959, 124019, 216269, 0};
static int joe_kuo_d6_initial_number21084[] = {1, 3, 7, 9, 17, 63, 5, 245, 397, 351, 1613, 4079, 7235, 4397, 18951, 11609, 71593, 148615, 0};
static int joe_kuo_d6_initial_number21085[] = {1, 3, 3, 11, 5, 59, 65, 221, 237, 527, 861, 397, 249, 15273, 8415, 61185, 59419, 98115, 0};
static int joe_kuo_d6_initial_number21086[] = {1, 1, 3, 5, 5, 59, 17, 247, 3, 765, 835, 1131, 3985, 9021, 18067, 28525, 86513, 250227, 0};
static int joe_kuo_d6_initial_number21087[] = {1, 3, 7, 15, 25, 47, 119, 143, 143, 283, 1791, 59, 8171, 12577, 17079, 9809, 100299, 63977, 0};
static int joe_kuo_d6_initial_number21088[] = {1, 3, 5, 13, 1, 47, 93, 159, 199, 863, 1279, 77, 4719, 3623, 30713, 39271, 126299, 130297, 0};
static int joe_kuo_d6_initial_number21089[] = {1, 1, 5, 3, 23, 11, 119, 187, 57, 373, 747, 1507, 5165, 12929, 903, 49041, 70215, 117113, 0};
static int joe_kuo_d6_initial_number21090[] = {1, 1, 5, 1, 3, 59, 23, 77, 151, 77, 627, 2865, 7055, 10469, 12095, 20481, 13429, 47573, 0};
static int joe_kuo_d6_initial_number21091[] = {1, 3, 1, 13, 27, 13, 115, 233, 343, 407, 1321, 4011, 5589, 15369, 23495, 4435, 75421, 229325, 0};
static int joe_kuo_d6_initial_number21092[] = {1, 3, 3, 3, 5, 51, 89, 53, 275, 279, 203, 2829, 4415, 4735, 25417, 17633, 99445, 183945, 0};
static int joe_kuo_d6_initial_number21093[] = {1, 3, 3, 15, 7, 9, 91, 63, 143, 945, 453, 4001, 3943, 7285, 9359, 27507, 8571, 31827, 0};
static int joe_kuo_d6_initial_number21094[] = {1, 3, 3, 11, 15, 49, 103, 25, 273, 791, 145, 2203, 4721, 7709, 25085, 33937, 98693, 97445, 0};
static int joe_kuo_d6_initial_number21095[] = {1, 1, 5, 15, 9, 13, 87, 27, 331, 137, 1031, 585, 7841, 12213, 32259, 46953, 17813, 203379, 0};
static int joe_kuo_d6_initial_number21096[] = {1, 3, 1, 5, 29, 53, 121, 179, 21, 311, 991, 2145, 6577, 12889, 8763, 46629, 128093, 105033, 0};
static int joe_kuo_d6_initial_number21097[] = {1, 3, 1, 9, 7, 29, 57, 137, 333, 109, 615, 749, 2665, 13087, 13989, 41857, 102937, 125183, 0};
static int joe_kuo_d6_initial_number21098[] = {1, 1, 5, 5, 3, 23, 107, 5, 319, 503, 1209, 47, 349, 11681, 28521, 44707, 112887, 232275, 0};
static int joe_kuo_d6_initial_number21099[] = {1, 3, 3, 13, 13, 51, 13, 5, 293, 15, 555, 135, 2565, 13325, 30411, 14837, 65591, 249205, 0};
static int joe_kuo_d6_initial_number21100[] = {1, 3, 5, 13, 17, 3, 73, 255, 447, 699, 503, 3655, 7735, 12163, 6167, 15027, 103831, 146395, 0};
static int joe_kuo_d6_initial_number21101[] = {1, 3, 1, 13, 5, 9, 27, 45, 397, 463, 1739, 3193, 6731, 7533, 11217, 22359, 82603, 231613, 0};
static int joe_kuo_d6_initial_number21102[] = {1, 1, 3, 15, 5, 43, 73, 191, 53, 187, 1905, 745, 1571, 9013, 8515, 59527, 104671, 227063, 0};
static int joe_kuo_d6_initial_number21103[] = {1, 1, 3, 1, 5, 47, 57, 179, 433, 979, 147, 1701, 4019, 6855, 24487, 65495, 69919, 6659, 0};
static int joe_kuo_d6_initial_number21104[] = {1, 3, 3, 1, 17, 17, 13, 75, 163, 781, 421, 1573, 2519, 9243, 20693, 60909, 65661, 208125, 0};
static int joe_kuo_d6_initial_number21105[] = {1, 3, 5, 7, 27, 57, 39, 79, 157, 415, 729, 3651, 3581, 9443, 6409, 45993, 99051, 140977, 0};
static int joe_kuo_d6_initial_number21106[] = {1, 3, 3, 13, 1, 7, 109, 77, 423, 185, 97, 3719, 2355, 10593, 2421, 37339, 24961, 24305, 0};
static int joe_kuo_d6_initial_number21107[] = {1, 3, 5, 13, 17, 7, 125, 43, 453, 43, 643, 3757, 3721, 16083, 20871, 26451, 95201, 29153, 0};
static int joe_kuo_d6_initial_number21108[] = {1, 1, 7, 3, 13, 49, 99, 253, 59, 21, 445, 3677, 6683, 2165, 32367, 55249, 5991, 155033, 0};
static int joe_kuo_d6_initial_number21109[] = {1, 1, 3, 9, 21, 9, 15, 219, 175, 631, 665, 2455, 4701, 10639, 13907, 26937, 58867, 259861, 0};
static int joe_kuo_d6_initial_number21110[] = {1, 3, 5, 5, 23, 5, 39, 233, 27, 811, 1435, 625, 4703, 3699, 20763, 50047, 123875, 10129, 0};
static int joe_kuo_d6_initial_number21111[] = {1, 1, 7, 5, 23, 1, 49, 223, 309, 691, 953, 575, 5279, 10515, 11519, 35387, 48417, 134001, 0};
static int joe_kuo_d6_initial_number21112[] = {1, 1, 7, 11, 3, 15, 125, 109, 39, 713, 1823, 1613, 4347, 6839, 29511, 26865, 102077, 31425, 0};
static int joe_kuo_d6_initial_number21113[] = {1, 1, 1, 7, 31, 43, 13, 221, 115, 993, 1155, 1641, 1063, 2065, 18909, 45769, 65331, 188455, 0};
static int joe_kuo_d6_initial_number21114[] = {1, 1, 7, 13, 21, 9, 59, 7, 79, 217, 2009, 667, 7685, 14761, 20149, 44133, 41037, 78369, 0};
static int joe_kuo_d6_initial_number21115[] = {1, 3, 1, 9, 23, 57, 1, 193, 77, 681, 1135, 3657, 8149, 3559, 25011, 55027, 121903, 240157, 0};
static int joe_kuo_d6_initial_number21116[] = {1, 3, 3, 5, 31, 41, 59, 5, 159, 627, 1569, 23, 2311, 2239, 20811, 54931, 130949, 193071, 0};
static int joe_kuo_d6_initial_number21117[] = {1, 1, 1, 1, 27, 45, 43, 1, 381, 801, 451, 1361, 1611, 5379, 27819, 8949, 4953, 222335, 0};
static int joe_kuo_d6_initial_number21118[] = {1, 1, 7, 7, 7, 11, 101, 17, 197, 561, 297, 159, 7443, 7273, 819, 23487, 24927, 151781, 0};
static int joe_kuo_d6_initial_number21119[] = {1, 3, 1, 3, 15, 43, 119, 193, 205, 835, 7, 689, 8045, 11167, 19521, 65075, 87265, 53669, 0};
static int joe_kuo_d6_initial_number21120[] = {1, 3, 7, 7, 9, 51, 43, 209, 239, 415, 995, 4037, 1219, 2683, 30459, 36161, 111157, 184551, 0};
static int joe_kuo_d6_initial_number21121[] = {1, 3, 7, 11, 27, 3, 81, 43, 407, 463, 231, 3545, 2691, 5235, 22053, 37233, 98757, 149111, 0};
static int joe_kuo_d6_initial_number21122[] = {1, 3, 1, 5, 17, 25, 47, 185, 487, 403, 1063, 1445, 4457, 15443, 11693, 54823, 131001, 9813, 0};
static int joe_kuo_d6_initial_number21123[] = {1, 3, 5, 3, 5, 35, 127, 253, 173, 491, 133, 3575, 1981, 12735, 26021, 61615, 74615, 159829, 0};
static int joe_kuo_d6_initial_number21124[] = {1, 1, 5, 9, 13, 37, 67, 155, 317, 389, 603, 4061, 3527, 9315, 32331, 43145, 82511, 240133, 0};
static int joe_kuo_d6_initial_number21125[] = {1, 1, 5, 1, 21, 41, 89, 3, 61, 627, 1301, 2073, 447, 8139, 2509, 52075, 50687, 240239, 0};
static int joe_kuo_d6_initial_number21126[] = {1, 3, 7, 13, 25, 61, 117, 107, 175, 7, 1173, 561, 5777, 10525, 20713, 34987, 48005, 214361, 0};
static int joe_kuo_d6_initial_number21127[] = {1, 3, 7, 15, 25, 31, 127, 147, 177, 881, 95, 2115, 4765, 10485, 9253, 721, 193, 222459, 0};
static int joe_kuo_d6_initial_number21128[] = {1, 3, 5, 3, 3, 13, 47, 77, 441, 1001, 215, 2365, 3603, 405, 11401, 14523, 65755, 258229, 0};
static int joe_kuo_d6_initial_number21129[] = {1, 1, 3, 9, 19, 29, 71, 153, 77, 613, 1815, 2033, 1821, 15497, 18805, 28851, 88247, 143115, 0};
static int joe_kuo_d6_initial_number21130[] = {1, 3, 1, 11, 21, 19, 37, 35, 427, 887, 1977, 1961, 3619, 10739, 30115, 55937, 102045, 110929, 0};
static int joe_kuo_d6_initial_number21131[] = {1, 3, 3, 13, 21, 27, 49, 15, 405, 629, 2015, 867, 2121, 13789, 19225, 22343, 105629, 123113, 0};
static int joe_kuo_d6_initial_number21132[] = {1, 1, 1, 1, 17, 19, 55, 207, 507, 1001, 1753, 315, 2799, 8643, 1519, 4057, 16599, 222223, 0};
static int joe_kuo_d6_initial_number21133[] = {1, 1, 5, 7, 21, 37, 63, 53, 103, 261, 595, 389, 6041, 11127, 23625, 61683, 80953, 255891, 0};
static int joe_kuo_d6_initial_number21134[] = {1, 1, 1, 5, 25, 21, 81, 233, 79, 57, 1311, 3965, 7747, 687, 32149, 397, 4551, 37657, 0};
static int joe_kuo_d6_initial_number21135[] = {1, 1, 1, 5, 9, 19, 87, 67, 325, 157, 317, 591, 1401, 8275, 20413, 39529, 75349, 183679, 0};
static int joe_kuo_d6_initial_number21136[] = {1, 3, 3, 15, 9, 3, 83, 205, 195, 599, 829, 3109, 3705, 13991, 8781, 41555, 31689, 86933, 0};
static int joe_kuo_d6_initial_number21137[] = {1, 3, 5, 1, 3, 9, 37, 235, 271, 883, 561, 1473, 7693, 177, 14113, 19507, 75221, 67517, 0};
static int joe_kuo_d6_initial_number21138[] = {1, 1, 1, 9, 7, 29, 87, 189, 239, 429, 537, 1657, 6373, 2449, 17621, 19649, 77235, 102775, 0};
static int joe_kuo_d6_initial_number21139[] = {1, 1, 7, 7, 1, 43, 69, 207, 241, 561, 1809, 3119, 4657, 15797, 18751, 52169, 105005, 172657, 0};
static int joe_kuo_d6_initial_number21140[] = {1, 1, 7, 5, 5, 59, 67, 231, 27, 435, 1073, 2689, 229, 733, 1579, 52289, 110285, 76721, 0};
static int joe_kuo_d6_initial_number21141[] = {1, 3, 5, 9, 31, 19, 87, 41, 489, 705, 1363, 963, 5865, 8237, 10295, 43169, 81561, 177209, 0};
static int joe_kuo_d6_initial_number21142[] = {1, 3, 3, 1, 25, 39, 63, 255, 403, 625, 1601, 71, 6609, 4165, 21987, 31269, 25473, 17063, 0};
static int joe_kuo_d6_initial_number21143[] = {1, 3, 3, 11, 19, 13, 101, 245, 17, 687, 1037, 3345, 7257, 13081, 5131, 29003, 72319, 223505, 0};
static int joe_kuo_d6_initial_number21144[] = {1, 3, 3, 3, 11, 49, 107, 29, 463, 465, 977, 4007, 2121, 4821, 1465, 53725, 36783, 247057, 0};
static int joe_kuo_d6_initial_number21145[] = {1, 1, 1, 3, 1, 43, 71, 49, 261, 965, 1041, 3951, 3791, 2503, 26009, 52039, 4639, 141281, 0};
static int joe_kuo_d6_initial_number21146[] = {1, 1, 3, 5, 29, 45, 79, 33, 119, 491, 1403, 1637, 853, 5609, 29853, 16435, 117877, 58443, 0};
static int joe_kuo_d6_initial_number21147[] = {1, 1, 3, 5, 13, 17, 109, 187, 201, 705, 235, 1485, 7673, 6335, 3341, 20451, 64697, 129519, 0};
static int joe_kuo_d6_initial_number21148[] = {1, 1, 7, 13, 11, 41, 95, 81, 135, 783, 1293, 2095, 3599, 10175, 3205, 56915, 131, 19281, 0};
static int joe_kuo_d6_initial_number21149[] = {1, 3, 5, 9, 13, 19, 53, 223, 283, 733, 1915, 3029, 2779, 8133, 28163, 37263, 91245, 1927, 0};
static int joe_kuo_d6_initial_number21150[] = {1, 3, 3, 3, 1, 55, 41, 123, 209, 195, 1423, 2467, 3809, 11169, 23593, 8703, 40975, 175651, 0};
static int joe_kuo_d6_initial_number21151[] = {1, 3, 7, 9, 31, 57, 31, 115, 415, 445, 557, 3971, 1565, 15223, 7799, 10463, 117387, 225127, 0};
static int joe_kuo_d6_initial_number21152[] = {1, 3, 5, 11, 31, 19, 3, 63, 315, 501, 903, 1925, 3393, 16149, 11013, 15483, 70765, 279, 0};
static int joe_kuo_d6_initial_number21153[] = {1, 3, 3, 9, 29, 21, 13, 227, 263, 815, 1259, 2549, 955, 9237, 16083, 38891, 31145, 731, 0};
static int joe_kuo_d6_initial_number21154[] = {1, 3, 3, 5, 27, 23, 33, 189, 107, 655, 889, 1549, 7315, 13341, 12721, 59339, 54503, 91679, 0};
static int joe_kuo_d6_initial_number21155[] = {1, 3, 7, 5, 15, 9, 1, 255, 451, 91, 1279, 2359, 5913, 5215, 23161, 29327, 45275, 206709, 0};
static int joe_kuo_d6_initial_number21156[] = {1, 3, 3, 9, 9, 41, 75, 91, 87, 695, 335, 3375, 7307, 14095, 5359, 7815, 9339, 46387, 0};
static int joe_kuo_d6_initial_number21157[] = {1, 1, 3, 15, 5, 47, 69, 231, 423, 255, 1335, 3395, 2799, 8955, 31445, 59849, 104955, 240587, 0};
static int joe_kuo_d6_initial_number21158[] = {1, 3, 5, 7, 7, 9, 21, 209, 321, 5, 653, 2199, 3657, 6397, 20229, 32349, 54543, 47971, 0};
static int joe_kuo_d6_initial_number21159[] = {1, 3, 7, 11, 31, 21, 85, 49, 197, 865, 53, 609, 1867, 14503, 12671, 61703, 39245, 8493, 0};
static int joe_kuo_d6_initial_number21160[] = {1, 3, 1, 13, 27, 31, 119, 247, 209, 65, 1729, 1563, 1597, 1617, 26597, 50139, 108667, 77035, 0};
static int joe_kuo_d6_initial_number21161[] = {1, 1, 5, 13, 3, 49, 53, 219, 71, 1013, 1239, 3725, 117, 9273, 8277, 32619, 45933, 71509, 0};
static int joe_kuo_d6_initial_number21162[] = {1, 3, 7, 13, 1, 3, 119, 153, 79, 555, 429, 1221, 3725, 6073, 1295, 7187, 117709, 258911, 0};
static int joe_kuo_d6_initial_number21163[] = {1, 3, 3, 13, 1, 13, 105, 185, 81, 989, 563, 3761, 6725, 4699, 10539, 50247, 95307, 211927, 0};
static int joe_kuo_d6_initial_number21164[] = {1, 3, 7, 3, 21, 11, 45, 81, 495, 391, 1437, 3495, 3789, 13701, 9479, 42505, 22561, 135019, 0};
static int joe_kuo_d6_initial_number21165[] = {1, 3, 3, 11, 7, 61, 65, 211, 269, 997, 385, 3843, 4905, 2939, 28551, 19515, 25177, 68137, 0};
static int joe_kuo_d6_initial_number21166[] = {1, 1, 3, 3, 3, 47, 73, 127, 15, 977, 209, 1791, 4711, 6733, 29093, 36311, 13665, 240603, 0};
static int joe_kuo_d6_initial_number21167[] = {1, 3, 5, 5, 19, 39, 29, 211, 463, 755, 1723, 397, 213, 14009, 22701, 7131, 35587, 183885, 0};
static int joe_kuo_d6_initial_number21168[] = {1, 3, 5, 9, 11, 29, 7, 25, 381, 631, 1343, 2255, 2535, 3239, 7287, 14161, 69295, 85245, 0};
static int joe_kuo_d6_initial_number21169[] = {1, 1, 5, 5, 17, 47, 19, 217, 289, 411, 1855, 323, 4109, 2601, 5835, 61909, 99333, 99959, 0};
static int joe_kuo_d6_initial_number21170[] = {1, 1, 3, 11, 1, 51, 121, 207, 403, 993, 1171, 3451, 3389, 957, 22125, 9333, 110775, 54125, 0};
static int joe_kuo_d6_initial_number21171[] = {1, 3, 5, 15, 9, 51, 13, 251, 203, 861, 321, 2017, 6933, 10785, 20089, 65213, 105451, 117319, 0};
static int joe_kuo_d6_initial_number21172[] = {1, 3, 3, 15, 19, 63, 89, 217, 269, 723, 57, 1923, 4267, 4895, 2191, 21605, 62401, 11063, 0};
static int joe_kuo_d6_initial_number21173[] = {1, 3, 1, 3, 21, 47, 103, 75, 167, 989, 1401, 575, 3717, 10373, 21321, 5487, 36063, 140411, 0};
static int joe_kuo_d6_initial_number21174[] = {1, 1, 7, 15, 19, 29, 121, 197, 429, 773, 901, 1875, 291, 11395, 31459, 55041, 49263, 185143, 0};
static int joe_kuo_d6_initial_number21175[] = {1, 3, 3, 1, 19, 17, 19, 21, 41, 885, 1665, 547, 5887, 6205, 3317, 59399, 125559, 82721, 0};
static int joe_kuo_d6_initial_number21176[] = {1, 3, 1, 9, 15, 39, 81, 9, 279, 33, 1287, 3035, 5759, 10647, 3933, 20953, 3137, 30693, 0};
static int joe_kuo_d6_initial_number21177[] = {1, 3, 5, 13, 3, 33, 33, 169, 233, 83, 467, 3719, 5617, 6165, 15631, 56059, 95541, 245233, 0};
static int joe_kuo_d6_initial_number21178[] = {1, 3, 5, 13, 5, 21, 81, 9, 413, 247, 1307, 3363, 3383, 11525, 1259, 8735, 36507, 98359, 0};
static int joe_kuo_d6_initial_number21179[] = {1, 1, 1, 13, 17, 49, 105, 131, 385, 309, 1295, 565, 8031, 15391, 31263, 52657, 102721, 212195, 0};
static int joe_kuo_d6_initial_number21180[] = {1, 3, 1, 7, 13, 41, 21, 103, 237, 649, 55, 1565, 6327, 8743, 15457, 29975, 34165, 80839, 0};
static int joe_kuo_d6_initial_number21181[] = {1, 3, 5, 11, 15, 31, 121, 219, 375, 159, 731, 59, 3205, 15039, 10023, 46209, 34619, 110253, 0};
static int joe_kuo_d6_initial_number21182[] = {1, 3, 3, 11, 31, 19, 79, 185, 363, 635, 463, 987, 2681, 6405, 30077, 21173, 14213, 58095, 0};
static int joe_kuo_d6_initial_number21183[] = {1, 1, 5, 13, 23, 37, 57, 111, 293, 553, 269, 3393, 345, 1983, 1097, 47217, 22281, 212607, 0};
static int joe_kuo_d6_initial_number21184[] = {1, 3, 5, 7, 7, 33, 65, 61, 185, 411, 187, 641, 6437, 4625, 17547, 38941, 81119, 48651, 0};
static int joe_kuo_d6_initial_number21185[] = {1, 1, 7, 3, 19, 25, 39, 243, 139, 465, 691, 713, 7879, 14539, 31669, 35871, 130681, 255929, 0};
static int joe_kuo_d6_initial_number21186[] = {1, 3, 1, 1, 3, 43, 87, 13, 179, 835, 719, 1189, 7207, 5863, 6077, 20669, 35469, 211155, 0};
static int joe_kuo_d6_initial_number21187[] = {1, 3, 7, 13, 25, 59, 97, 129, 151, 985, 739, 1919, 7729, 14057, 21721, 17603, 82797, 181319, 0};
static int joe_kuo_d6_initial_number21188[] = {1, 1, 7, 7, 5, 3, 21, 141, 379, 257, 207, 597, 4051, 7563, 25481, 59427, 45449, 61159, 0};
static int joe_kuo_d6_initial_number21189[] = {1, 3, 3, 9, 11, 25, 5, 29, 131, 603, 637, 189, 4033, 13099, 15219, 4447, 73501, 135795, 0};
static int joe_kuo_d6_initial_number21190[] = {1, 3, 1, 9, 1, 49, 57, 227, 141, 543, 1499, 3525, 3127, 11191, 4071, 47003, 7431, 155137, 0};
static int joe_kuo_d6_initial_number21191[] = {1, 3, 1, 11, 27, 31, 15, 31, 113, 135, 1251, 245, 6965, 14263, 5679, 55201, 121453, 132503, 0};
static int joe_kuo_d6_initial_number21192[] = {1, 1, 5, 15, 7, 23, 67, 163, 57, 513, 1809, 1343, 6165, 199, 31169, 30803, 86705, 71103, 0};
static int joe_kuo_d6_initial_number21193[] = {1, 1, 3, 1, 15, 9, 75, 143, 273, 797, 819, 4037, 2305, 4841, 15697, 41191, 38187, 174131, 0};
static int joe_kuo_d6_initial_number21194[] = {1, 3, 7, 7, 3, 55, 65, 135, 423, 185, 299, 2221, 7987, 4223, 28183, 32273, 95941, 260297, 0};
static int joe_kuo_d6_initial_number21195[] = {1, 1, 7, 7, 7, 11, 67, 109, 507, 673, 1555, 2537, 7553, 4659, 3945, 20839, 32539, 43053, 0};
static int joe_kuo_d6_initial_number21196[] = {1, 1, 7, 15, 1, 47, 61, 73, 211, 397, 1785, 4063, 6461, 13725, 11299, 17565, 80063, 118271, 0};
static int joe_kuo_d6_initial_number21197[] = {1, 1, 7, 5, 29, 27, 97, 105, 379, 153, 915, 2795, 4933, 6729, 21207, 9995, 70241, 85641, 0};
static int joe_kuo_d6_initial_number21198[] = {1, 3, 5, 5, 23, 13, 41, 67, 127, 649, 1351, 3597, 7077, 4989, 14649, 17401, 70883, 239841, 0};
static int joe_kuo_d6_initial_number21199[] = {1, 1, 5, 1, 19, 1, 83, 3, 425, 873, 1943, 3935, 4257, 14587, 11829, 55217, 21963, 39683, 0};
static int joe_kuo_d6_initial_number21200[] = {1, 1, 7, 11, 15, 7, 37, 239, 337, 245, 1557, 3681, 7357, 9639, 27367, 26869, 114603, 86317, 0};
static int* joe_kuo_d6_initial_number[] = {
    joe_kuo_d6_initial_number00001,
    joe_kuo_d6_initial_number00002,
    joe_kuo_d6_initial_number00003,
    joe_kuo_d6_initial_number00004,
    joe_kuo_d6_initial_number00005,
    joe_kuo_d6_initial_number00006,
    joe_kuo_d6_initial_number00007,
    joe_kuo_d6_initial_number00008,
    joe_kuo_d6_initial_number00009,
    joe_kuo_d6_initial_number00010,
    joe_kuo_d6_initial_number00011,
    joe_kuo_d6_initial_number00012,
    joe_kuo_d6_initial_number00013,
    joe_kuo_d6_initial_number00014,
    joe_kuo_d6_initial_number00015,
    joe_kuo_d6_initial_number00016,
    joe_kuo_d6_initial_number00017,
    joe_kuo_d6_initial_number00018,
    joe_kuo_d6_initial_number00019,
    joe_kuo_d6_initial_number00020,
    joe_kuo_d6_initial_number00021,
    joe_kuo_d6_initial_number00022,
    joe_kuo_d6_initial_number00023,
    joe_kuo_d6_initial_number00024,
    joe_kuo_d6_initial_number00025,
    joe_kuo_d6_initial_number00026,
    joe_kuo_d6_initial_number00027,
    joe_kuo_d6_initial_number00028,
    joe_kuo_d6_initial_number00029,
    joe_kuo_d6_initial_number00030,
    joe_kuo_d6_initial_number00031,
    joe_kuo_d6_initial_number00032,
    joe_kuo_d6_initial_number00033,
    joe_kuo_d6_initial_number00034,
    joe_kuo_d6_initial_number00035,
    joe_kuo_d6_initial_number00036,
    joe_kuo_d6_initial_number00037,
    joe_kuo_d6_initial_number00038,
    joe_kuo_d6_initial_number00039,
    joe_kuo_d6_initial_number00040,
    joe_kuo_d6_initial_number00041,
    joe_kuo_d6_initial_number00042,
    joe_kuo_d6_initial_number00043,
    joe_kuo_d6_initial_number00044,
    joe_kuo_d6_initial_number00045,
    joe_kuo_d6_initial_number00046,
    joe_kuo_d6_initial_number00047,
    joe_kuo_d6_initial_number00048,
    joe_kuo_d6_initial_number00049,
    joe_kuo_d6_initial_number00050,
    joe_kuo_d6_initial_number00051,
    joe_kuo_d6_initial_number00052,
    joe_kuo_d6_initial_number00053,
    joe_kuo_d6_initial_number00054,
    joe_kuo_d6_initial_number00055,
    joe_kuo_d6_initial_number00056,
    joe_kuo_d6_initial_number00057,
    joe_kuo_d6_initial_number00058,
    joe_kuo_d6_initial_number00059,
    joe_kuo_d6_initial_number00060,
    joe_kuo_d6_initial_number00061,
    joe_kuo_d6_initial_number00062,
    joe_kuo_d6_initial_number00063,
    joe_kuo_d6_initial_number00064,
    joe_kuo_d6_initial_number00065,
    joe_kuo_d6_initial_number00066,
    joe_kuo_d6_initial_number00067,
    joe_kuo_d6_initial_number00068,
    joe_kuo_d6_initial_number00069,
    joe_kuo_d6_initial_number00070,
    joe_kuo_d6_initial_number00071,
    joe_kuo_d6_initial_number00072,
    joe_kuo_d6_initial_number00073,
    joe_kuo_d6_initial_number00074,
    joe_kuo_d6_initial_number00075,
    joe_kuo_d6_initial_number00076,
    joe_kuo_d6_initial_number00077,
    joe_kuo_d6_initial_number00078,
    joe_kuo_d6_initial_number00079,
    joe_kuo_d6_initial_number00080,
    joe_kuo_d6_initial_number00081,
    joe_kuo_d6_initial_number00082,
    joe_kuo_d6_initial_number00083,
    joe_kuo_d6_initial_number00084,
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    joe_kuo_d6_initial_number02349,
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    joe_kuo_d6_initial_number03706,
    joe_kuo_d6_initial_number03707,
    joe_kuo_d6_initial_number03708,
    joe_kuo_d6_initial_number03709,
    joe_kuo_d6_initial_number03710,
    joe_kuo_d6_initial_number03711,
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    joe_kuo_d6_initial_number03739,
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    joe_kuo_d6_initial_number04159,
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    joe_kuo_d6_initial_number20945,
    joe_kuo_d6_initial_number20946,
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    joe_kuo_d6_initial_number20948,
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    joe_kuo_d6_initial_number20950,
    joe_kuo_d6_initial_number20951,
    joe_kuo_d6_initial_number20952,
    joe_kuo_d6_initial_number20953,
    joe_kuo_d6_initial_number20954,
    joe_kuo_d6_initial_number20955,
    joe_kuo_d6_initial_number20956,
    joe_kuo_d6_initial_number20957,
    joe_kuo_d6_initial_number20958,
    joe_kuo_d6_initial_number20959,
    joe_kuo_d6_initial_number20960,
    joe_kuo_d6_initial_number20961,
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    joe_kuo_d6_initial_number20964,
    joe_kuo_d6_initial_number20965,
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    joe_kuo_d6_initial_number20969,
    joe_kuo_d6_initial_number20970,
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    joe_kuo_d6_initial_number20972,
    joe_kuo_d6_initial_number20973,
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    joe_kuo_d6_initial_number20978,
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    joe_kuo_d6_initial_number20980,
    joe_kuo_d6_initial_number20981,
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    joe_kuo_d6_initial_number20984,
    joe_kuo_d6_initial_number20985,
    joe_kuo_d6_initial_number20986,
    joe_kuo_d6_initial_number20987,
    joe_kuo_d6_initial_number20988,
    joe_kuo_d6_initial_number20989,
    joe_kuo_d6_initial_number20990,
    joe_kuo_d6_initial_number20991,
    joe_kuo_d6_initial_number20992,
    joe_kuo_d6_initial_number20993,
    joe_kuo_d6_initial_number20994,
    joe_kuo_d6_initial_number20995,
    joe_kuo_d6_initial_number20996,
    joe_kuo_d6_initial_number20997,
    joe_kuo_d6_initial_number20998,
    joe_kuo_d6_initial_number20999,
    joe_kuo_d6_initial_number21000,
    joe_kuo_d6_initial_number21001,
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    joe_kuo_d6_initial_number21003,
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    joe_kuo_d6_initial_number21007,
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    joe_kuo_d6_initial_number21010,
    joe_kuo_d6_initial_number21011,
    joe_kuo_d6_initial_number21012,
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    joe_kuo_d6_initial_number21014,
    joe_kuo_d6_initial_number21015,
    joe_kuo_d6_initial_number21016,
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    joe_kuo_d6_initial_number21018,
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    joe_kuo_d6_initial_number21020,
    joe_kuo_d6_initial_number21021,
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    joe_kuo_d6_initial_number21025,
    joe_kuo_d6_initial_number21026,
    joe_kuo_d6_initial_number21027,
    joe_kuo_d6_initial_number21028,
    joe_kuo_d6_initial_number21029,
    joe_kuo_d6_initial_number21030,
    joe_kuo_d6_initial_number21031,
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    joe_kuo_d6_initial_number21033,
    joe_kuo_d6_initial_number21034,
    joe_kuo_d6_initial_number21035,
    joe_kuo_d6_initial_number21036,
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    joe_kuo_d6_initial_number21039,
    joe_kuo_d6_initial_number21040,
    joe_kuo_d6_initial_number21041,
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    joe_kuo_d6_initial_number21045,
    joe_kuo_d6_initial_number21046,
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    joe_kuo_d6_initial_number21048,
    joe_kuo_d6_initial_number21049,
    joe_kuo_d6_initial_number21050,
    joe_kuo_d6_initial_number21051,
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    joe_kuo_d6_initial_number21053,
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    joe_kuo_d6_initial_number21055,
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    joe_kuo_d6_initial_number21061,
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    joe_kuo_d6_initial_number21084,
    joe_kuo_d6_initial_number21085,
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    joe_kuo_d6_initial_number21090,
    joe_kuo_d6_initial_number21091,
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    joe_kuo_d6_initial_number21199,
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};