tomopy/tomopy

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doc/source/ipynb/lprec.ipynb

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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "# TomoPy with LPrec\n",
    "\n",
    "Here is an example on how to use the [log-polar based method](https://github.com/math-vrn/lprec) for reconstruction with TomoPy.\n",
    "\n",
    "To reconstruct the image with the LPrec instead of TomoPy, change the ``algorithm`` keyword to ``tomopy.lprec``. Specify which LPrec algorithm to reconstruct with the ``lpmethod`` keyword."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These two cells are an abbreviated setup for [Reconstruction with TomoPy](tomopy.rst)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import dxchange\n",
    "import matplotlib.pyplot as plt\n",
    "import tomopy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "proj, flat, dark, theta = dxchange.read_aps_32id(\n",
    "    fname='../../../source/tomopy/data/tooth.h5',\n",
    "    sino=(0, 2),\n",
    ")\n",
    "proj = tomopy.normalize(proj, flat, dark)\n",
    "rot_center = 296"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that with LPrec, there can be no negative values after the transmission tomography linearization:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "proj = tomopy.minus_log(proj)\n",
    "proj[proj < 0] = 0  # no values less than zero with lprec"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reconstruction using FBP method with the log-polar coordinates.\n",
    "$$ \\hat{f}=\\mathcal{W}\\mathcal{R}^* g $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reconstructing 48 slice groups with 2 master threads...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "recon = tomopy.recon(proj,\n",
    "                     theta,\n",
    "                     center=rot_center,\n",
    "                     algorithm=tomopy.lprec,\n",
    "                     lpmethod='fbp',\n",
    "                     filter_name='parzen')\n",
    "recon = tomopy.circ_mask(recon, axis=0, ratio=0.95)\n",
    "plt.imshow(recon[0, :, :])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Reconstruction using the gradient descent method with the log-polar coordinates.\n",
    "$$ \\hat{f} = \\text{argmin}_f\\lVert\\mathcal{R}f-g \\rVert_2^2 $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reconstructing 1 slice groups with 1 master threads...\n"
     ]
    },
    {
     "data": {
      "image/png": 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w55wBUbLQvFIEGxlYXE/OxCMltij+iOWy+nstrOGhes0lqCKE1IpvcscmvM1XHH8AKvQchXjUbC2Ebkp3IZ/b7AqoSY5EY23SFB3NQTxiQJXWMJqal1IeJ2C4Eu+2JNOw2RaiEO9kL0saThOqNuN2q8c8L/XvrNqwf4IpWoi5qBvFgufEoaRyzViitpt9fV0jICL/QkSeFpG/qB67LCK/LSKfs/9vqf72T0TkERH5jIj8wI068FdykZTCYRzdWXbvwY44BcQ0Vyfw1G6yS4F1ZxnZVHa0mQYeWtJTEbTrTxS9nlZ6eWIvmA4F3SY7d4Dec6/9tlLgQShsRKoBu9BHzJ43z4Mi/h52E8y0yKUOxf3zYC28DUE4KeSnWIBLkn1YjqRxjL1+xzAbKGrRAKsYBPSopER9BHpjrxywLJvKRnfCj5UQiUHQUPE5TOWInTDKkRlOnAI0itKNX2TS9HjFuyTJhLxZ1zcSCfzvAN7/vMd+HsAHc84PAfig/Q4ReRd0+Og32Wv+uYjc1MUVhoLk9NNTBZaiJtbmC8gFMCQvjDunqk7wur+GvqUJiN13qQM2twYH5XIDwEhATjs2BL42BiwlStLnszuQ6QaPZbLqBPsA1DOLI+nDSS4NN6l8n5qazNx9Xopz8WuUH4BTjN1wGHNQv3vF1uvUSLKfgJRrblxutroJiM8LtmkdwJTi0XleKJmmoGP2ASlsLGoq3CGwbEibIfv/k0sBVIDnFq4IdTOur2sEcs6/D+DK8x7+IQC/bD//MoAfrh7/lZzzLuf8BQCPAHjPy3Ssr/hiHsmwn6kAu/C4CP6xCadW74GUunaWAjxJzr5JCY7xpoydYLiedBOI4gzkESBp2kDVHoDHZZWEpMfTrUttnUambsxhE1HN4qN02DxIwRj6okUwL0ue7sBjLpwCQDfJnqKQeVniEQQvqUgUJmXxqdw5UykbVmJpC6MfPwco71X/HMyIMZogbZnUarFjbTeFZ5HbfaCPZcFyE8C1G53NOcOjGVV2zugqktPNtl4sJnBnzvkJALD/77DH7wHwlep5j9ljN92ieEczZlfAAfQmmw7U86h6rop6KBlGHHwS2+A1313r+ACltSjiSSCPnm04TshBFYSIVOfWavNVXX8+MCqxbwZxTxY5J3AoysQQHnOd/8LLa/vPKxtuXurndGfa0EMjx1kGvuGrc+SAITGLKhKZl6WMlzrRKkFTynASC5uQnAteh3kQN8w8Vu+sbKsKQg3g55J2SSS/QFxVOUz6XYtwi+EPvR63g6RNqT4AZEnqR4wm/dYY7+BmWi83MPi1aidf0z6KyE+LyEdE5CPz9uxlPoyXtpjbz0vZC//iUDxOZ/k+iT8zN1tVVweKZ6U2IHsLminba0tUQU2B8TBgvKAUVlYJwlhIOPNC0J1qrbzd6Y0cKfuV98tne+H4UEphkrR6ATC0LqIjvqmsqtBa92PqdDgJX5OlpDvZcARuEEZE3nPgk4W0V6IeJqKAGyxqKh5cMnUJlIpMXYH+lFYPheWIYmhoWIF9g0DaNTGVLEWdeVqKlz+dYWhkKTXyBRitVZuzpRrNTr8bhUxuJmLRizUCT4nI3QBg/z9tjz8G4L7qefcCePxrvUHO+Rdzzu/OOb+7XRy8yMN4+RebW+oGltSZ5Lep7QAldCbDr5bmZphKYK2hXoBFB9x0xBMYYnImHzn0u0tipBgLgYmwV6CYin4YMYltyPb+PgdwV3LremAoMQznOdj70tuRfeiRD0tullZox6AeR7su78kIIrXwEmMzlgiCOEc2joMy+ihZnp0iXTMFqTKU22KcPAe3Te4Gj2BpV9D8dmsRUKPnS3Gdcl67Tcbuom4HApY1pXlewHEgnsNokUIcynlj2kJDfDOsF2sEfh3AT9rPPwng16rHf0xEBhF5EMBDAD700g7xlVv0aN5m2xUevNNo2V7bFFaaE3uo8JNLSMxNTqabS3UbcOV1cLE881iNSW7U09c5Oplq3LjTYakslDbefVCNHYoE1dpNeQ+y6BoKgoZyDqgCxMgHQAHdFpVB4mgzgnJSkHP/nA4+k4ASZO3Wuv84Qcm6JKOxJEmS4rlQHAUuFiIpW0pW0iPXPJhLNyIJWvNC9roHu1P9mRWUeRDtJ0hqfHldaVi7teEwuWAZND7egSg0FBXB6SaAxb+REuH/BeCPALxDRB4TkQ8A+GcA3icinwPwPvsdOedPAPhVAJ8E8O8B/EzO+aYonhDEYkurD/kQvfF2F5W9xkYhJ7gwxG8EpJ268u5E0C/7xmT4THqwVKUr6uMBenOOF8TzUvYi0BjwZmNXIW86ZR6WkDp1Nnk46t/mhZTw3TX/K1Qc+n1dcswQfwUK9QndaXbAzgFQkMyzjw3w/5o+DBgGYhud70FDFHtxw1ZPGGJvRDJGIRc7JRnx7H2+YQYEDV2AtSEeUSIcpnuLKxnbS+U8qQaBgLoL2kchlqKZVPxYSE6pFXRnmu4x2nktr/brPSHn/ON/xZ/+5l/x/H8K4J++lIN6pRdzPXqZ/jRjfUcoqrUxo93qBWWHGWWtwgw0m+yof27g/AAaEvLzWeoi8t1sVY4rduLAV7sux0MQTsU3FJ9Q0pDekKQm8+buzgpFmVRkhuvEKtg3EMaSrrhiEeznBoCFtYyA5qXl89vsBoJknSwKopEZ6boADMt7za8ZFUVh446G+c2utP0yX+dzaUC8RwLi2EpDg22YS7IyJ704o4JkBlsbsMwAr/T92q0StLqzjBTFrxuNqUx2LUnNTppLkRpNLkSY9Vo2O0aPAiSgHfcxotfiOmcM1mCSecXxULC4YlB5Kp5Jm3eKN+3Waa/uzo1EL+yjuKyEFntRsKkrghu8EdtNRndWWpEBOK9/XojnnWTBOanHUgkx9Boom0eSko48FbEwP8y6MWuQUj+vHItXCgAHzDRc5vGLo/HNlCu+hObXgVoDsYTytUcsLdHiaUq7yS69xspMrRoU7Dvx+80LeIjvasoWWLVblmvz3rXxXgsrDzrpJxTDw3OoBk7TE8UoDOTdlMYwGql5UQahuCaEGdf2NV4xeMMbgbgoqHI0sclmJBKu7cHsYgOwxxAcD4PngVw1GOY15qEAiaQIx0HDfWroATVYpxtkOiiekrmrf05Tfm/GbOh0SR1IZR4PS9jMTUbWo39X24jzQtOeZAxAZ+sZOFp3IwKo6v/ijEqG+QRYPRy259LAMFdOLaOIokTMPopkRo0gJGAYCkVSq/TCfzcDMV4oCL5TqS2tUDFUgJwKbtC91CNa5BAtYmnFJyNrRIZyPySWVJN+h1yOBVAn0W7LdX6trTe0ESCXnyExLyx1/urQlyzB2isxP2f7Kz0aG2EYtpOjnpvSTRdmYHHVpLFj5RFtToC+FwoG0ZcQe2a7MPS4swimlf5NU5FiIFSaW1/Lej8BMwKMjIa6tUYjOajXZ32c70MC0R4aD4sUrDpBg0i2YLPDnohn7EsFxEFUIx0xDagxjlpwhJ9Jg6DXTpw8RdyEx+LVBoKL1o3J6gs7D2kIKQQrWasD3ZlKwbGvAlCD5TTtUCKq2AO7IxsAyz4PplzGdiQe8Vpbb1gjoCAfXJgjmRdgTtttFNiZDsTLg04ESqXzTPPQ7L3znBJcs9kYEjoNNzOSEOOqw2cPkNTCze+dckSrUwm9qSEYB6A70xt1XojPKPSpQyxb2g1JyfD+tIS1xDkU2LL3se8G6GbyfNoiGUY1ADdT9giIvADSnEnAabdMUfLe/EEn7syFDUmDG3v7fmaA+tMScgOlzx/Q8zIeFF4Gqzhh0siETT+uTCylwsFyLpmdLMOGWAGxFVYiEUAqVYRgQCT5EzQW/Ym2jPsAldcYUPiGNQI5SKlx7zQf5SZvd9l5/2HUm4flP1KAORuQ5BN2xvFGdnGQSgqLmy/zczhc1DYiOxCBUv8X8+QUFiVw5bP1YnWTsVvOpMt3RxTBKACfG7G+hPx6PuDGiWBeajWUjb128cVeH9fpxJQcU9BwvCBGrioGwisP1QjzeRAreYqnBY3NNkidvjfLhiRtwQxpt85g8w5QPDA3OclATIVaixDIW+hPsxOfmjGXc1sRtiRl78ykOlLdNtzsVMaNkUZrvwNwA0Fcg2Sm1BXCGdO719J6jeOWL/9ytljPWffZ6/DK2BPv/KNHIqjWmHFoxuxecl7InlIthS4dZKpGdrVrDS/bjd6YJBCFOWOuBpLOh7axF4Z228YliYdS2YpOFy+bA3NaovhS+AqxdLtlAEWD0DZ20M3X7jLmbIxDKd1/OrIsFzVhgpECNAmYVxpZkd0XJn2vqRHXGWhMpNQVlK2Cwf6GZgdvDY49gCCVt9XWbL4Hl6c0UpqxmH8T9CMYGC1cCFOJiP6SZHm7r5mYOmAWY28eWov0uqR2AFOeUh1gpOiArLCtWisGTH34Pq/2esNFAtMBASq9gXYXgzPAmh3RfFQlITUAEtVbcSOQVpulINaUwnKjkOHKtmI/d0bWmReaGzcTvKkGKJUGUmipzU+1YFJW6+oAvRWZh0wDvHTHG42EJ1MwDpOG2TXwqICcGgh69GklXgXhsdQbkflv7IDxSPEJkpyoUMyJwnz9vCoAZhxKtcTLmyMcAIyDpmW1MjGgzxuO1XNrF2ZhCAIF7efgFU47olALqy+s/ugmLoKoxHhYMWJKWPcPMEpMrXjrczKgMYtiCxRQ9cjAgNnXggEA3mBGIEwZi2sKxiVryBmuJzUKW6WNEpyrWYAM5ZqKwkpuPj0uiT8hWq5OsQvADEYpJdVDN1j396m7FW5QGl1QSnA1+DbD1XNr/ryH2xmgwOi8LJgClXa5qZQDAE8P2q2GytyInuJEzY85Jo2deazjt7uM7jRjOC7HE63fQJ+TLczHHsI/HYhLs6XeIi77OUyl1AgU8NB7+U2fsV0z/SjWKQf9/qQrc15BtykpGkHgeqQ6G8ZI1HJyV2PXyzAOPt6Meg6JE1BRel6xbwR+XxD43CNKvcrrNXAIr9DK6qVq8gm79bQUJl4np5Kuo+y2CeeVXmBtZJE9Nl13lr20BsBFOQm09SfZpcEAWK2/3HBUxE0NTLhTSphphJT5oAw1UQNktfJQwlyJGRh042UjvRTiT7aGKO12yzZklF10VBQiuDkbaCpJMQGWPBnxpLqkZ7k8Ny69PM+FVwIYgpvHl2TzBy3tmg7hYbVKt5djBODhPTECeuDYw1WYXJU5CcRz/ZKW6SBTPaSGsmgsIwI+yISsRe170PeLJFqlkrqwq3G8KEr7znr9Vk8nbG4Nem9YKqBKU4YxGaV5Oii6jq/GekMYAebCGvaq99odCcIkVr7STRmD+E1HuS8ChPPKGHIdkKM4+OMy2EM1ONR65wmK1ZNsGBazjs2cUW9uE7c0gG5e6c2UiYhDvAxI9Rvm0QCc/MJNiLHU95UNye5CmzRMDMFCYYn2nfvC36+NB4EyCnHUQGVj5ByyLjmFyAecAE5mEkPcaZyYOuiTyvcbL4hrNc7WTk1MgP0ALPd567G9jbP8DJOJZpyI9rNno7GKDA06j1+ZnZa72/tr6VHTO27ceVmk4+nZaag4e4KRXrvR40LW88yOw3Zd0s9XY70h0oFmW4tRiHcJMj8PU8buqJSE2q2GvmTqzUvz9OS4W83ahTEIylUGgDeq3uRVTpvLDb9XtmJLLnP5thgMyTq5yIVK+8LW49iwOGjHoQ4EVcCQIFy7zh6xxF43F5WA2112lmCY7L0NEwD0u5PhSJFPblpn6QHeFehRQltUlvgasdezIzC1Umi3ZhA07BbnKpCDz0qNKydJhcabdoJ+Thnh7l2TCa66pNoF4ulY7AXd2rgMhtp7OuAdjvY9RHEcZGC4rvdDZzJx1FfgqvkDEL1/vDU6Kimr6BSU1OzVWK97I1CHgIB6VxKD+BgRe8DKg4ORb6qON07GaXZqVGrvxDJcnY+SNORlxw38ZqnzwGakhHchqhCQZCUjdUos4k1GOi03AGvvpCdLyqUMJYUYRGrscF3jXgJeVPUhY06S3rRh1vzfy2TkOFjZjgh6t9HNyoYa5shuMIjBWJTlxo1gaDXuy3EU0WhtXhat/9SXJqNpRSA0e68C+zy6dfbSYbODaw440UjguoscXEIF59GreN8AACAASURBVNQUObZ2rQaIKQHl4f2+Cobj2DXRJjPyNopB4HXKQRmoPLbaiAJ41ajFr2sj4Iy2pmwsMtiAAvr0Z+wqq/sC4Fx0YgO5uujTyvJ/e3w8EqflkmnmzDgp+XFjLah1Cy7r9nqwmje6Zx31/cZD8d6F3aWgQN9I9FrcQ7qcWFs2dEOSi30XUpndm9rGLmF7qVIwdGfqw7DXhTrtPV2/35mP+o/AYrvLHmpzI8/LUpnw69EUDgSVmQGNTNi/wO/KML1G8UkJJqeA55ffy8/xTMJXGVPOORHzUqs4LLWqpJq+pj8xYNCow/NgsxFErOEreyWJ/RPTCq44RMfDNvG6AuUt26/wet0aAV54r/M3hR1Ithn14SaTs3Y2WCx5OjUCgWI83HNExRPiALRn6p2H69mBNeZ+qdqQPgpc4JvQhT6sEsGIot1mB7o4vzD1DJPtGOZKMEMKpXi4np0lSEkugmcOThry7vmwC4laKdHwiHkQj2LY+sxzw85Knl8qHIlJr6kRgnMvWB3gtWE5luAo9Q6cdMNozAzsvFIAcriu3X98fwcTbWNSP6Bu5eU59PPF3ois36E/K2Kxk6k+hRllHkG20mLVganAophhzzYaHs48nQ7FcYE90RczPi4rN5Zz8Eqv160RIF8+GckH0M3DEJAGID2v887bYaswTa18LrRc6zmg5BTlubuz5Lk0o47YV7myPe4/R/Uq/Fzmh/Wwz9mIRzurbLRrYhvw9EHr6ObRTdpqWolvSCofESRD1uiiGcucPaYCNb7hhJqwT4ZKrWB3UUwrsEQSFPlgKXReilObvYuwKi3SGLK3QlMl8Y1C8RA1uobZ2OPzUjxsn0kF7ooCUK1MRMPPKsO00g2fq/dvxsLSXF5JpUeDcwdidS1ndjtmLxPW0ugEol1tGQWbYDm07u0Ayjl0R/UKrtelEeDNXBR7xFFy5oeUqWLITnKI3zTQ17qop0lrd2sF0qYDuynaknfuLu2fTqYXTvk1fIA3zLzQshF/L8hy0QEUljazqdsYUYnVDmenWUgdZnjnIJF85d0XXIDcBn5/hu8uHlKx6TjghNUADhZlqN9uCk2Z/f2ZObfd2KkhcFbASW487/uf9s8bdQcpJ+78DfYaWArFsekkLxHbYVWFUZZGQuKRnY9K6wtgy2lEu6PgfRCOs8S8997UFGRaRdUpirdMh8VI8Lwqa7JEhrmpvydc6OWV5g68Po2AAXJKzcyeW7PJRVt49WJ4bmurRp7dyyfshYPzUDwMn1d/dt19KHGfxcZSFb0LwMYhvSl9wAgrAQMwXFPOO6MQct2ng3ITSSoVgXYLoxfD9QebXfbpx9NKgU8aHeXo6wAS72lACdt1Y2vVIDcFHKPhIrBH+i7PN9F+VmHYa0CWo26ebNFRdm6BWKMSjQcX2YysyihuUjUuoRwbyVl1hYCOYVpVswOkVD30S8FJQSwtsrW8s4lKjNhoPCm+SiPL6gH5JrGHy5z3Z7lKuxTAZUTVrksF6pVcrzsjwHCeJS+XoRJjpJl6cOxkr1HIVYAM/KvDdoab3IR8nOOriOiT4MIaNN/DxT4ETnGlDh7biOnJfWqPdf81W8v1razZjPp+89KwARtjRu9Ng0QtBJbzSG/l8WtZLLtH1Q5C8VC7LlNyM+x1zxFEDIVcg1D+xvf2/DoWElGNsMdeMF0QpyaTjEWPTU/qswuTNUYZG1DTPhvaai28xGyAcryOO1g+zgigmUqUF+aCkYwXghsRppU0HtSdYEMYBE6VZvSRDfzlfTiv1GCMhwZcbrLT0Ntt+c65LdjFK1UteN0ZAVJcScQgXRYotWJX5mmq/BNGmHlejTv2FSHHbm6SUGq+gI/AbqmLT8lvY+ItS2js2MNUwDBSdhU1tyajdYko2grtDpMCg2T35crrMQ9lr4IeU/FmYSwedl6Jh+8snzFvJ3fB+yqmApAC+jNpy6x2UJCDHpr5LSW/uAm5WWhYupPiHYFyXHtdiChRGsk5tYKPDggxQ8l6v3lV7+2PBSOKC7IL4WpR3ioe9w1Jt1GPzRmRYVKAdl4Uubn+JIOUb29VNvxEclUytPO984Gz1ntgjqI/yW6g6jLjjVyvLyOQdWPWFpuoOckhTn21fnxOyGU3IPNYIrUsRwkNQEtV3OLZCK5RAZe0X94MqS83Zp0jKmEpqc6gD9sAFleTeyxGJ7OVJDtLC8hYDBNAfjypv9zIil5zhkLxwNyUe8vSiHat03SGa9kHoaoaUGEQ0oNrY5QBlY0Jkeyyl+coJqKfqS3UTEEA7FUYml2RNOPcQfI3WAGYFyjvZUa0vk5M3UjjrsVP3HhXHAzy+h1/SfqZxCp4jhgBDteT953UoqrsOWjXRTPCMZWBxt9mNqSqXD2W9KjdZo/Y9G+l+nGj1+vGCDB8Vc8KZ5gBzJuzh2GUwZK5yHbX4asDWq0+h4DibCFratiGXC5iM5UaMOvWZJ1RxoppA1ljzU6HjrLDDLC68oFuMB1trl6HNw/ThZqDTyEMAor+WVP2+YUcXMJwmXX2Ziw1dcUaBNNSzDMqwSXTU2U4YYmGleXM1CiAOQ+C7aVQ9ASaModAlZLgnY0EEoFybuvJv44RJDVCPOc0uvVz6vuAhC8VH4Wj8mzKYtSiUUXyCI+VlO4sOW7hxsCqMP1xtl6AElmOFxhxiZOQ+D3aTfYqTelqLAYwzFWZmhFD1jSWvSA3Gih83RgBAEU9V4gNaD6m4EsBBSVq7kWqKG+meu4e34shPADPa6nc48KWdhO5hoAUhqGTXRYlxdDRV7oxKEXe7AonQGa4zsHuFuWfU0KLAzVib2HqlJ1cFGL2aIWy3CzFuf4g8ZK5pC5s5aVRo3Q6RTrYc6/pijiRycU2jUDVmVIRS7IceLqznJ9qQ2K5d92gRWPHujsNcrKc39WDmAI8n4Q1KilHUpkGpTl3uY4cKEJ2pmoqBK32HIrrH+6O9ELxGreb7O3BGoWJt3m327Jx51VhG3JwbewVe6Ic+XC9jLWLg/3rxA3OdFgEU5OlVZwUdaPW68IIkOTjlttuFkdx7aRS7VeiDZ+o0Gl6VUpsAXDefohl43OIBgAvRUrOezklkWtKZbEERK+lwI+o92sKgOScdhTufn/MSoB6oXatm5eYgEuBBSCLuA4AbzJ6keEk25wCYzuyL95ILU3Fy3fSVLY0xDASGgKG2tHq8jQM06EUgLJqpaa4Rg3SkZGoegPZIy+eV0DPC5WKfZlRo8waS62psR4ASxVKlJRd2m17iw4YmZf6P6Oi6dDOXyNYXMveH0BwL8SCyTw/jXJC0DZbN2OlemzGc7ygkRUrBkwHyFwMUTEKrSJopWM6MMdkfRY3Mi14XRgB1ltTA697qxdRkQgy4zzM7/WC1+EsN3zq4OAZgJKnxpKb5sp4xMoT8Vg0zDSlGUtJGGkwb+cSSwuUFZj8GIgFEKxjbwC9E6XRXE03wok5BbnW7sNmVBUjkl8487AuXaooR4kI6DHpHbmh2CZLPKTdwLgI7B2wlIxVjUUxnPTedV/DdCBO6ulOS97fsemJG6q61iQVcUwapd0VjC1MQcBKuotC0GEVIll1iFGLem5F73V+Q6nk7JWQbXMD8OEiHBrL4Se8z7pTPb7+JHtkoCSy7OkSIxbqEjBlUfDTrhXZrjdo3fRGoOaZA9gX3WDI3ZbNzto1YKFYX8pHqbGbObK0Z6+taLaA/i12xhzclTIbu8I01xd/jZeUIjsTi8d3McxUGn0Y1VCWiyVNkk8Yaez15lsUwlKl9vsrCs3RXhoZFfm02R5nnwEFVRnxzGY4CtAonu8CJcpSnUF93ryiQdFNxFCZlQbqFNaDTySVyKk7K+Aevz+jEOId5HGMVZ9AmBVIY3hduB3Z826YEdeDL+efaseMeCgjxvspNaVLkeeY15ZGn58LoPBU+pKO1ZUMJ0vttC+hJlTFXoAAUyy2jsemgKA3Yn3dtxWR+0Tk90TkUyLyCRH57+3xyyLy2yLyOfv/luo1/0REHhGRz4jID9yYQ7cvEEuYzc1PEhA3HMNT578nNRBsUCHzjmG7xOzyYES5a3IJc2RANwYRXVr6bCPJ2CdOgou+oOSaLFtxI29vDZ7SkPVHNiLEct1cUPBaj6/exF7N2JoXmssmZc1bciEDka/vlN1swCfLjsQ6ACfz8LtQUJP4Cs8lMYVsU4FSX5Uxq5Ih83oaAqZNWTQEJ6WYnAtGZsmMjPdzNKaRaDV2vTbVNREzYH35G9mI5XxVBqstGzOHAkY2NvqN4G8dMTpWQqPM691okxExkW6j6kvTgaYIjDA9ghtNb6K6jnyvG7G+EdsyA/i5nPPDAP46gJ8RkXcB+HkAH8w5PwTgg/Y77G8/BuCbALwfwD8XkeZrvvPLsDQHtTDVvCHAcBEeXgEVoJRhaGypT5Mk5Mo5ApcIU09UWk5rBVpuPi+/jdlLQQTyVA1I4PTSodSaXZyj03o5j7F4GwPx7Ay657cbmii13rj6GQXNhqcQgBKEaGSKnJh6m/40OUbCfzwOlj6Thb5MJ5zZxvSrLZuneD37fa7ASZvow1ZtNhGx0YkekQpBROi5GV2nQXge9Hkkg3VnlDHLezV/MjmLtgDcCIUpu4FtRuzJw9UYB7EaUsKXz2l1oTdJNQq09Md5L5KkMWq36pxGayyisXfHYjgWwWEHU3MxgC/3+rpGIOf8RM75Y/bzCYBPAbgHwA8B+GV72i8D+GH7+YcA/ErOeZdz/gKARwC85+U+cKCE/h7+xeJFCrptXo1ATCq5FpVpSFohTrA70jo8u8cY/gJlU/CmzIbCAyW3dwHRxLJYdpBuOlBQLy4KksyQkGE0YDnluuSDbnyqG0WfiLJR7GceW2Pin+QuMN+uBU8APa7xMHirKwVDktGWsxQswvsL7JgYMdGr04i5IYhlM9Eow8Ay5vGMLPgdU+UxN7cFb8jhP+I/zM8VNxH3mLN1hY5H4qVffU99DvkhnIcAlB4CCrqGkdFGURkOc4mCeG9MKy2H+nyKWXEYvqbbZDeWxGaU7JUdw/Eoqy3RBADHlGgYOXLt5V4vKMsQkTcD+DYA/xHAnTnnJwA1FADusKfdA+Ar1cses8ee/14/LSIfEZGPzNuzF37kgINGYYYruUjKpj0Hn0fHzeFo8EqsZFi8gacKFtqWEqGWgVJbgB/qC+YAp+Yy9IWQ9WX5+ViUceIgGI6T5r6nenNyFBmPg1EFPZxLYAN7BJQs4uW+eVmIRl637wt4SYYkDSFgxkLK+7pBsKYo9voDeg50zBYjrkIDZh98s8sF9bb3caIMa+c9vBffm3YaO6+pCK/oh+q56Y9zScUM+PXZhg1TO55/OD8kB33evCw8BYkkQOm57U+zA8kcpNKdFQFZGJBIkRKAYKqlFjbCjuSxaVkQX+UqMEqxc8L5i4wKx+Kg4sLu11j4LQoGw0FeKmK93OsbNgIicgjg/wbwP+Scj///nvo1HvtL9ivn/Is553fnnN/dLg6+0cMoH2I3US1/Ta8cB831pkPTqTM02Dn+YwlPieQTZaa3FHokKerAs72v9+NHlH5wliZzXfctFFAkYPW0CZs24qQc3+CptAl3Z8kFO5XfztJeyZsdcV4UHcBgoW+IugGmAzMIDYdqFu/Mv/nYNGNXSuXtmLYwjCUFlkpBWUpozX4Glie7s5L783p4z4EBuTxn3Cha7oQz6AoTsLQes2OQDUjkF1BB2D0psQbDV5T6LR61ECdYXE0uia4pD+cnyh6PhIKkOniFGoPaTZraInbC8N9BXosunBbNe6S3wbK2M/qTXCoXhieQyFYzIymy+nKub+jtRKSDGoD/I+f8r+zhp0Tkbvv73QCetscfA3Bf9fJ7ATz+8hxuWQXgMySaF1JKBNCus2sIcIM6W9BAGImwUV96k3c2GrzdVahyLsCW0lWLZ81NiShYd3eBicHQ6kVB0Dm1lqGfDhkpYXRuBNOBXhb1pNnD8W6t373dFkPktfeW7bnZBD3g4hfBhEDmZQm1CajtLokTqpox4+DpiNWzEQdPRRw8GVU1J5TyZrvNGK5nB1GdzZZLuMzwn6QcznNwSa9UzgnPKw25i6WkMm5MeQCGZxgw5wbB1nRQuA+APq+raLxxgCPzxCtyAEY714xWGAn6jAJrBmo3GhnQaDtgSQ6JWPh/Vj6zjkgoVU4VI45S57mbKsxAz51hPbGcG6CA3y/n+rqERBERAP8bgE/lnH+h+tOvA/hJAP/M/v+16vH/U0R+AcCbADwE4EMv50EDcLAmRCCnAvSUgZ9lgg9LTvQg3CzTssyrr8NWAocsO+YgLhZRWmDhrcYU9GjP8l7Il1sAhhT3J9kRam4cUoS5kVkmm1ai4bH3/etnxk6HbUyrSnfPwEB6WpJVKOOt/PPSkOOe0PCU/mpGMyasb28wHQQ89y2C9i2nuHzhDHeuTnDrsMYuNTidBvz5Y/cAX1li9bjKaevIbZU9Y/7N1AyzRkTaR6HfZTwsJTMqN8tcDGKYDCA1OTV6Yl4X5UcURWY2OvlUIosy6kGidWmvNhBs/NFILSNE2eOIaIOYsgjnlUaUzU4/j5t7PJSqZTgbx4NYB4CKOAWpJyyJp6tUROKsw3lZulvr/oUQM2KzH8m8XOsbYSV/N4CfAPDnIvIn9tj/BN38vyoiHwDwZQA/CgA550+IyK8C+CS0svAzOeeX1X4RzGMUwAlBgIVLley2h05208wLvbEmk4FiPZveUWfjFe26uS3S3iTQULeexoWsMjL+goVtbOxRdpqZ86j/u/fuSikxJw2pSahRNlwJb9k8xJs99so67I/N09pXZegbDHSbVupVUyNoZjUMFx6bkVrBM/9JwPe875N4cPUstqnDlekAm9ihDzOWzYRN7HDv4gTT0OCt73wW4eGMXWpxMi3wx199AMPvHOHgqYT+jNN4TMnY0hOvg9tobxXZzNgdBZ37YLMXakm38YK4cSDPn9eKoXEyA9uwAShXpUyxOntTpNNZJZIIzEdlEnEO8NFyyGKzC+FRY+qoHSn+mcSOujPDLU5UZHQ4LllvavUY+F3m+h6aSgRat2VPh6qjqJObSrSXAzD3Zdwdo7CXbT/lfIOKjy9gHdx2X374B3/2G36+U3DNo88VWysLh4kUi5l61o8LaYYXgKEhx5PVHIBunTEelAvCsLLZls9mu64bhJk3OgqvfctqgL2e+WcLjxa42KZMUgtLg/1pwrwIexTlYCASb/TUw/vx2bsAwMVVTu8NuPRIhGTg+psb/J2f+EO8ffkkrsUVHlnfiWfHA9/8Z/OAo26LO/tjXJ1XGMKMXWoxhBkNEo7nJZbNiCHMeOTsdnzoTx7C5Y8HbUoyXv14GDzqISOvJuEwqpKoHhDZGrxsloFjPczhDQj2El9TKg685sR4akIWzwPZkHVfiDaGGYYxV3Mpt0XA1cuhZpx13JmeV6o91Z/lDU1M8dpSbeBMQjobPS5xqTeWB/XN9Lu122waCKXiw/v2hayP/tLPfTTn/O7nP36D+5NuwDKEnC2zLA0pfTZb/mubxEJ4Me9HZV6lbhZEmACXRDvvLNGsTLW3qtnTyIRYAV52U+UGiCyj2cZuN2oUhutqUADdIK5uk0vkkFvzQiigHEtl8yLshby5FaCaeOzMN5SaNNWK6JUOv5oQe8G1HznD//ytv45PbO7F7159J1IOuHtxHbf1wO39CTqJ2BnbZcoNhjBjEzsMYUbKAkjAJna4Mq7QhojL/Rp/6z1/gvDehJN5gf/w6bdj9ekBB49nLK/oiVBZssIDCChpXBPJX6iYlsbFoGHVg7EUImuEk0X+EiU5zNlr7xyk4tyRDmjNGHGSU7vJXmbuLJ2bFsBs4XsOABjVpbIBSRZis5LAzrNNG6IAbUbBSTiFKg5mFKrhpxyeQsNUO5PpUPYcRR2FvlBD8LXWTWcEeEPPy2oclE+XKfPnAebYdjNVpS2GczUJJes9WnLtpkoDzANRJJLWn7TRMGnYNxwXr5AbJZC4roDlhzIVvQNO1CEFWMayEZw1Z7m0dt3ZTZOKZLW3Bdv4NK0nV9TeABw+HjEdBDz7rYIfe98f4v7hOfz21W9GkIRvOnwCJ3GBi+0aX93dgmfGC0gQnM49LvdrPLs7xFG3VSPQnyJlQcqCuxfXcW1aAQCuTUtc7s9wNg/YxA7veegLSG8T3Le8ir+49iY8+uH7cPER7cfPQYq8uuEcru9gVQI1BLl0e1aGkWCfN+qkwi2gUnO7Kx49NUA7aVlvcVUNcVthCO6Fl6omBGh6xvun3WXsBkHIJf1kzk6Q0fP2uUxyIokLgEcJHHiKzHmWrFwodbupNvq8qtLIuUSQjKxo9F6OddMZAbbAchoNBD5hh2DKvCjodxYgJHOfUC+Sg+zloEUSjJu4lHdqBpdz2JtyMTilmDn3bLVjDf0LRuDNRFVNXqwDMQXxjrF5WTwQaa/BvB5DRkpRKaOuCv8NjGKJ6uIXJ4yHDR77PsH7//qf4A9/5dsx5QbX4xJdiLjcnSHmgC9vbkEjl9BKwtnc4+7FdSz7EYet3sVPby/gQrdFZ6FSFyLWscet/Sme3B3hcn/m0UTKgqd2R7g6LvGp47sAAH/7fR/GHX/rBF/Y3Ibf+cTDuPjxHgdPRqvZBy/F7i6JT0NqJuuqtEvnYJ0ZWRp6GmwStci5ZzpFRSWKdpDI1EwZYtHjeCQWWRg2NBXsKPaFx8GNOF6wqAFS1KIbNfDkSsROo8JmxxZjPZ5kEQcNGbkA7amNZ5+sSnWqjkXTgZJ+sEJSSsMvfU/dVEaA+Tpz4OLF98s+nqcZ2JdN1UXDqFKbJ/kkJiK6FcOsLbVrQG+a1qYW7Q/7sNJbKtiAtzETX2D4ZhECw1x6LG+mQQG6+rO8Rz7JAZgZVXQlDCZKjVCiCoh6//VtLe79wCP4B7d9Es/OF3DwRMKnju/C37njadw7XMXn1nfgzcvncO/iGtbWML9sRkSrHK9jj7N5wOV+jQTBc9MBhjDj2naJw3bElBscNjvsUochTHjKDMJtwynefvAUPnt2J3apxbO7Q3z57BbcOqzxgXf/IYb3TPjS5jb8wVffgvFjt+DwsYzF1YRuDUwHwQekOG05ZjRMe8CNmgFL8xwItWiiHrbKSI1j0hmF+EQqM56kFOcg1j1p98/Oujcbq8zYEJR5qYaDKQHcuBTMAEARGaUwTKoai+y7UJlIIgqd+IJVR8aKa2LGcF6IT3HSdvWXFhLcVEaAZBjfDFYS9Jo9vadp9TtgFMl3L7Vk5s/M12jNcxbkvgoxZyCJvidpvGHMlutr8xAn6wBwvCHT26RK7qzSow9WHsoN0GzgJUySgXTQhn4H0owpu6XAVTEcLJ0haf0+xIwnvivgH73/dwAAn97cjfuHK7jlH30ZX/h3b8FH//51XOo26MOM0zggSMbZPOBSp5s9SMYm9kBQr3+pW+OJ7UVsYoeuX6ORjJgFT28vYNlMaEPEpWZCkIwTY1s1SLg6LvGm5TGO2g3WSQ3K47tLmFKDo3aDH33Lx3HHO47x+e0d+M0vPYz5w7dg+YxxO6A3+PaW4BLfHp0BPhBF5uK1JUNLsqZA7NOcW0aI4hiQ05t7oFnTiJSGIC46k/4kY3M5oD9V3ClP4sdR8xxYNq5TBJZsk41p90Y1uz+ZygSLIBVv0NeRsZhFbKaE3cuB8yhfutbATWUEHN01wgVQLgDnCtAbzktSem1qsJWBGCYSMKpvLJ7MMP7llCGkEgbWUYZzulF6GJwL3ghgOXszWXXC3pOfz5ozZ+mlzHBSfLiojzajaq+lDqwGSAbECCg5CK69PeCnfuCDOIkLPLU7wkG7w9uGJ/Ho4e145NID+KPH34wfe8vH0EnEM+MhjtotLvdK3d7EHsfzgE4SBgim1ODatMLQzGosYo/b+lN0EtFJQpCEwZC7a9MKJ/OAg2ZEbAMePHgOx/MSz4wXsEsNjtodDtodGiScxgF/dnwP3rQ8xN39dfzUQ3+E9VsGfH59Oz70xP2IH72E5dPZwbSRwh123WteR7spOTTr/rxuauBLBMCGLkXaM/JYuBuNsRFZhmUkSK9dugbFUwdGfixnNrOVJmP2dE1SxSBMVjaNVev2xOgE3nRFI08sqPQTAM1OAWtKs+fnGa4Xul5mAuKNX+TBswRWt5/WqrSsA08HldXtSthUi4hSn5AkI1Ya+F7sma/BGHa/8fOnZUkRWGLyRp6dbuC6V4FTgahH4PmdEAGHi2NyWg7DQ2QAAc4x5+gxADh5QPBTf/+3cBoHHM8LPLB8DkOY8bvH78KyGfF97/s4ut+4hE+e3q1IP3Tjn8wLnM0Dphzw1tWzuHM4xtI+4JGT23A6a7pw0IxIWbBOPRIEh83OIocOy2bEHcMJLnRbnMwL7KxWdtDusGwmDEF5B8fzEkEy3n74NBokPDFexBPjJTy+u4S7F9fxN+79PP6rH/1/8O0f+DM8/V44LZd0Z9csNNkuiI0ls1mC5FBQdKQePd6uAaoSuY6DRWgase0LrrhWIycjR9ukFEa1+6Hd5kLyMXGTeuKTqyNbibPdZhc8kZSLpHssFZ1s3Yc1GWw4LqPRAPhU6peybppIgCczVuo6iHDBizLUMtsJE+/NJo03tVJ68qdiRZuxMLf4P+XIyZEHCrOQnYSpFc8TKcVFpl5d286NlEamqRgt7T7MpUuRYZ2FrPyuybjs9UQbAKUzztSTtpcDvv+//BBSDlinHndYue/KeIA5B3zL4VdxEhc4uxeYc0BnHNTjecClboNr0xJPrY/wkafuw9lmwO7aAtIn5G2Dz65m5DmAY8CkTQhtxsWjM7zj8jO4Z3kNm7nHA8vnsE0dNki4Nq0w5YA06Z0am4BlM2EVRnzi5G5c7La4d3EVCYJt6nBrf4qAjEvdGk+NR7hzOMYHvvf38OT3HOGD/+o7cPBVjQw2txUUn+UyahDWcyTELpwL+PzzSgAAIABJREFUsNj59bKhRYLOQEwlZeDm89mIsVyXMGtUuLfJpyJmmkUcRAyGKcSWQGM5XpeuCwVPIvjnkms1Z0IUMyBdPsxADCUFebHrpjECpJRSTZaCEAHwi5nt4nmInDI6y93J06Y1pyGh4EazhUuDS8yACUHU03nJPddQkoi+hXIDMFzVElhjJUN6b0qBsV5dq+okC1M19M+ubU+CSYhFxorDVFgaDLNiC9Tta77/WdzRnSDmgIvtBo/vLgEAjtoNptzg0c3tuG9xBRe+/Tl86GMP4YHvuYK7hmN89Or9+OzVO/D0s0fI6xboknuf0CUkyegXE3YnA6TTzR93DVLOuPLVS/jjL90CuTji6GiDZy4d4v6DKxjC7CkGAKQsuDat8HTscNtwivuWV9GG5CXJViKuTUvc3p9iESZcaLc4nhd4Jh3iUrfBf/df/1v8r5/7buR/cwsOn4ja+jwAzaawKFkZGI/UYM6thv7dutBwiakAcNEURnkEAb303JLfUNIyhMIpIWiZSJvemrR7W8qJUg1iVdXk4pyYFjQ7Y3S2gGyKESI2QADQKwuNTpBqNxZRvFGAQU7rUYRUSq3f8jiCgATgKCjpeX4sZRWG/k4/5sisETZG2vLHpvC3tRMRzhPwOQWgx6/0/wyAbDnePBXDRc/uLbcGbnbrhGkZlG23q5iIMduoK6UIu3JQKvz7MGdsbw34mbf+v3hquojnpgN0EnE8LXDUbR29P449rs9LvPWWZ5H/za343Lfejs9fuQ3HVw4gmwZ5iECT0SxnxF0DGTLiqNZ1dzwAcwBaPXAJGdIkYJUhkpGz4NqVA1y/tsKfTvchLCIuXzrDPReu47Db4e7Fddy/vIJjSxO+tLmIOxanOGh2ykKUhOfGQxzPC5zKgJNpgbeunsHju0t4YnsEAPiJt34IX/7Hl/HBX3kPLn5BLfm8EGcIzgtxOXBGbEDFB2nK7yzjtbsMyc/TmzQGI2dI1ulgjQXEDpCW6Yk4+UxMTZq8hRAzchLvK2A5sz/OPrTVqxsmTEtHRpyAqWwyh0XNyXra8YtdN40RcDqpyTTTKjpwkwuAQy0/p6im7BqAzPezaFmtOyvjoKIp1rI9FYAReOD89nr2Hw1KDuqRSGRieUsbiaxN9KBw0GkA5iUcKBwPg+WO2cM91pIZhSBqm/H2llCUhTqtHnzXj34cJ2mBye70Z8ZD3LO8hk6ig4Mn84CDdocL7Q7X3wZ8/l8/hOm7jxH6iNwmIAqGg51u+AAgJDR9Qk4CCRlpbJBjQG5iOdkAJAAiyaOz3GSkdYvn0iGefewSEDJkEbE82OGOo1Pcd3gVDx48h7M4YJdapCzYpQ5nscfl7gyH7Q5janF1XuG+xRVcNwzhqekIDy2fwjv/m1/D//Kbfxd3/nFCiOKtwoDdFxuLqCzii1D+RrfO2F0MJj2n3pe8klqboAh/Zi/Negu08Q26tfUFTCW0lwiIWEgfxe9J3nPRmJ28B6aVSaLH4mSAwnLNMMeXK3bjLCYRZ6zEvhi7F7tuDiNAWqVZ99YGQ0rMzgEAAHb3tXOpCoixwtQDlw1IYI/qsvXosWwhX91M5EYmwwdx1IKb7GTjpBmmLw5iMt+0FSIwWcWCtGFBAaj0SbCpNuZBRqUPUygjDkoIuvr2Dt999Dl86OStOIs9LrRbHLYjGiRcsdr+nAL6MOO3Hn0Y09giPLDGblyh+dgRwjevIW3EtOkwzw3a1Yx512B5uMN23SNf75EWEdJmYBuQRkXMcmdVEfb4dxESgG4xY24atP2MKBkSgDQFbE4W+Mq2xxc/fyeGyxsM/YwHb7mCW4czb2B6aqdev5WogGVYICLAuqHxZ6f34lK3wS/84L/E/5j/Ae78kFWBBIoRmVwaiVnevWg1+OVzyTsCa4l3j+7mwswkvjAca4NQaoE0lwoQGY0AECyNzMHa0duyqdW4cBiKFK8tKEpSjGrB+0jfO+eSekwH4pqRsROXnotdYSC+mHVTVAccZLOwfDpkeW9/xDXz73mpG5Hz/cKcSx0ZHCBRrCiBGYbqtRhoNC/gyO3GyjRTdjkpoBgIR/5tWEhpYTZV34YtwEr91fbb7J6kDKuAh5OUHSPFdXElO6iZOsH2O0+REDDlgIvdBkEyWolYpx4HzQ7XpiV2qcOj12/D9rRHmgWhSUhvP8PRFxPmdYu+j1gcjoibFhnAcDBi/cyB8iZaPXF5FqDLWtCOUv4BCL0agLhtMO9atF3EPLaQJhvrLyuYGBLQJuxOB5xcW+Evvno3PvbUvfjs2R3oJOKg3eF4XgJQLGOXWjSGmHYS8abhOuYU8KntPfip7/89bG4VdGfJ82JOEwbgPRpMAzrrdAw2BYlRXLfOpsi8b6iTRVrkebDfpFCb9TrrxOji4aPdd42JtRLJ3x0VqTSCxBRLJfGL8wdIl+Z9K1GN3bzUyIfOxYfkVtoKL3TdFEaAoTj59N0p4379Lwe47ly7yXuCDz5ssiuAUN0R5u2nQGEdVqEhR2YDcDYeuwDZzUeuebdOpeFFCDbZRZXS0090mnkmRTNSZwM8bONTwadW9d1d1O+yuyQYrmWsb2/ws9/yQXx2cxfG1GJMLW7rTpFywMm0wFnUFODR01vxxDMXIQKENmMaW4gAz3w7cPFPe+2tSBbhbFuM6x7hYAKSQJYz0GTIWYvmeqPsKQCyCwoUDgpNp1nQLmdIkxBnPdlx10DsfCMD89go7jBE9KsRaQq4duUAf/Cpt+Nf/tl7MabWuxOf2F3ELrWYcoNOIlIWJzc9PV7Aqtnh7/63v4/j+1scPDmrojLnERjluhm12aipCF0EZanfoNoF2YE68jD6k1LpoVYChWvYPu5ThrblHglzwSFCZPoKLK4lJ5xRo5Hj51k+pAJ1sHIylaTjohgjthRTaVujyZKevdD1mjcCwUY3180ysWcPejaKaLGErALwovvGz3BxDnp2rfVmZ4oxrORsPxhYJCmjFgMhPZWeX3L2Mh4jk2klbqwU0YWTf2CYg+QSkvJmU0DTPNQZ20j1NeOReKsqOQPd31NBpyd2F3H3cB0X2i2+sL4Nt/an2KUWp3OPRjI++8QdSOsW3XLSDT8F9P2M1duuY3cZkA9fRAgZ0iX12F1C0yYF/7Loxr844eBt1/Ft7/oCHnjb01i96RR52yDPAY09b163ihE0GW0XEbqEuG4R2oSc1YNJ0NxqGlsDGLWsm846/PtPfBN+54vvwFkc0IfZeQiNJHQh4tq0wt39dQTJeHRzO25pz/BD//A/4PTuFgdPxNL6m+HELsnGuEz7as7kChB/abbAfCC+eXdH4kQy3j8cwMruPxjrsFDaC17EsjA9v45iU4Pfn2RPV0gxp04iRJ0PnVG7y1VUkD0FobTdbKDoi95jL/qVr9BKbcntXcqpRterQRPaA16IFqXJxCwmBSpsA03mOSja6WBiLh6Ys/AkUQkIPpab462YTlCKi2rEbHYhskuik/cJmEBlwzo19DM5lkxyARIlWfrgwhQa6n7/mz6Nj5/eDwBYJyX9XO7PsDZlzEvdBjEL0hyALmOeGjSNbvLtpsdu12F82warJzJ2mw7Lwx0CQ3hA04F1A0wB73rz4/iRB/8U77zwFN57+xfxvfd/Fvc9+AzytsF0fUBOgrCISLOoQMqkUUCzmhVclIzV4Q6LA007RPT9kYFmOUNWM3IGtusev/Xph/HI8e04jQOuTUs8uTvCYbPFA8vn8Jn1nVg1IzqJ+NTZ3bjYbPCuf/gJzKtg5600diHDpce9CWsFb8LyjWeYz3At7U+xaq102IqNKyvX0oVpd2XjM6LzCs6YPYqoZ0LUGhicp9BM+lzShSl9rgNkSnrabAs4zTFu3vb8ItZr3giQAkxaLcMl6tZRJARCQk15rXICLJ8N2NP3Y32ftXvtE8+VJS6GxsknqeR3ZHMN1zT312nHYgIlRdmoriBQ9PT5opsMF+syZz19hgAm5bAXV9QznLxZSTaNZNy/vIIGCQEZ16YVjucF7llew7KZ8KEnHkDeNWgXs2+8po1IUTDtWnTDjGe+M+LyHwyYJmXWpNMO89ggbxpIFrz9ocfxjgtPYcqNVyDu6o/xX9z1WRzeeaonZQzohxk5BqSx0YrCrBY8jQ2kyVifDJinBmGIiGNAN8zolyWhDV1C289Ic8CjX74Dv/vlt2PZTDhqt3hydxHr2OOw2eH6vMQd/QkA4KnpCH/j0mfx7N9bo90mPXem2iQElUn2CfB5joyyVODUqMAi9neL1Ho6Gh3XHo2rwgiD17iOFF3zIsCmIlVlPIv6+rPszWi8Byms0q6zswabrUaE7KdQFmMZTjubcrZ/9otYr3kj0OyykyIoJKIlO/HxXCznkebJqIHtxRwNzVp+Y3TTZip5F1CqB2R1pQ4a7vFGsVLQaMwwJHpl+LCMWq1IpyKVIR7M86h/kIz/3Z2qISPrS70Yvz+MLqoWiUAVBJjeusEqjJhSgyk1aEPCECbMOSDloDJg8wIP3foMAGDe6J0tIWHetQhNBpIgJcHq9jMtl+5ahJDQXJjQLWa0FyZcvPc6Hr70JI7nJb64vhVPbC/iZF7g8d0lPLk7wn9276MYLm/QHo2Ic0DoI0KnX0ZCRttGYNbGpHaYEWc1FhIyxrMecW6QKbsmALKgX02QkLE+HfDvPvPNCJIxhBlTbnDPcA1javHEeBGXug3O5gGfXL8JP/qOj+PJ9zZOre7W5dwTifeSayypgqeHW84IzBaNlXuiCLlaFNCVe25e7DeHcc5EmPaHn9Tt6TVgSTl8zjSshVVjr6nM9jIjENiwmIz+tJoVmeFzFV/oes0bAfb5AyWXowpvtPq+i+tZ3saTDtjJMU03Iv/zSkpDRy65HC8U3ys3RfqaIpO80NlKOKV5JBcKapUXZtGLNy+KMQkjytBMKZoB9CjM72phkNgJ4qJM18kCfNsDX7Guv4Rr8wpXxgM8Mx7iodXTuNyf4cq4wtPbQzx84Ul8x8OPQtqEHAXTukfeKIIvbUJOATkLnvyehMUjCywXE0ITMV5doOtnPHzbU7gyrnB9WmBMjX7euMSUA66OKyzDiLtvOca8bpGSRQNZnFcwrnuE5YwYA+ZtBwnQMmWnmMO8bZGmBqFNiLsGTZsUQAQwLCfEscG//sxfwy616CTiJC5wOvfojGV413AdAPDU7gg//rd/H9feGtCtjdSUyihw79MwZWk+TjxGW3SLHmTsCAzrDUZVIw6N4WuZ8xOcjoMChfOK+gjluYxoeZ/pfSG+4aVKDUrvgkYDbKALUTkK0wGHzJqTYmn5Ba7XthFgmN9qLsbecOZWyGUWgOsKGhZQQLzswB5Dse4sf01ZJiKtrj5kEQfLfmzY8XAe2jhEAIphv27a4hGy6GdyVl8tgFr6Esz75yrVMRCRarQNm5IME7lroeHwoTFlhjDjUrfB59e3Y5daLJsJdyxO8eXNZTx84Un8zXd+BnfcdqxgX8gYdy3SusW8bTFPDYbbNlg9mXH83AGaJuPCXSf4zx94BHcvrmNODVpJuGM4xRAi7ltdxdmsVmrKDb7p0pOQNiOedBh3LZAE3WpEtzTAg4Bsm5RhmOApQ38wevmwXcyYpgah0ZIi05PpeMBvfuFdWKcep3HA/cur2KUWR+0WV6cVgmQctRu8dXgK3/8jH9rjhrCzNLXiSDyNu7A6REahFIPhOo9tAZtjJ5hWoWzWnd5L3boA2DnYaHEDiKkN6FL2Uxn8omI02JtaRcCYQiphyt5TIMm6FCkTbyVEr4q9iGDgNW0EuLEJwsQB2F0M7i1rMgabL7o1Ea3iQbOU8AoCAwT1aSU1yP5YDkULIJlR4YaUrDd0XNjEXQKATXnO8/EEhpMAow5lLFLfDiijs1j9cABpod8/DoVHTg+jLb8Rp3FAKxFnsceymXC5P8P1aWkbN2LZTLg6rbCJHb7rji/g/e/6JL7jXY+i62c0h5PmoV3Ecphw5ZszMAve9+Cn8b33fQ5Pbi7gK5tbkCC40G1x13Adf+3wMSzChHcePon7lleRcsAQJrzprquaPk0BTR8R5wbjWY/l4U4NQJP1M9uIxWqENFoxyEkQWg1vMoAQ9HERKG8hBsgQsdt2+I9PP4AgGadxcO0CVUXusUsdPnL6IN61ehzHDwaP5uJCpd50foA1G5E7sFFgrTP2oIPBXaUuZfcEeSXU/iOxi41cWmmCG3CPEizCVLVlwe5S8P6C1ArAlNIMFElqzaTGJPbiY84n4wjQaaSG4GaJbF/oek0zBhn6A+IhOceNA7Aae2miIKsKKPk3ROWeWVtlPVbYlGEeg22nOVRz5m1D832EHV/2Z1pkSXD9e9KKcwvkqZSOSBrKQKVQXHW8mbhJiCpbFSmUkeDHGCyPbbYZw/WIpzcX8N6LX8CX8q0Ywoxno17OlAW39QrWPbG9iHuW1/Ds7hDPbg+QsmDOAbf0a3zn/V/EbVZKHILqBZy8aYHf+7ffjt++/E784Nv+HPcfXMWJdQGOqcUnT+5GGyKO2p1rER61O1ybVnj/mz6JX3rmO/17km682/bohhkpBky7VisVWRC6iKZVTkHOghj1+c2CFjSjXc5IUfx5Tz5xC564dIR7F9fQdAlXxgPcORwjSMJd/TEe292Cp6cj3Pl9j2H7i2/CeAE+Abg1OnG3qWXIrfpkGzVXY8Mo1OqNX7EYAI8+s2I6ml4UjKE/tepTV96DpV9tizZF5Jrok0gkE2t642QjG84agebUxGjsPqQcWRzs9S+CNPSajgQ0J4cz6vYaeQxMYfMOiUSaP+U9Rl+YzTuzHtuWDcXwT/vPq1xtKCIQjgLnkmMyTeAx+QWxi8eZ9zXZhMakP03OWJuMoJJbs+jUN7SUoS4/saJB77KLrZNozqqpqTo7oFd1IAC71GITO9y90ulxB+1opBxVA3p6dwF/dvUenMwL3NkfY3rnGuHjF3A2DxhTi+d2B7g+LXA296Y1mPyzxtT6+1+dVvhPH/wy8hwQt2qQxBqOkhkELRUqw7Cx1KBplZPQDhFtHxFjUFajZCUwWUVDgr7fx5+8F0OY0YaEy/0Znhkv4I7+BKd2Dq5OK/zw3X+qRK4tvDOT474j5dkMW/GpUbG08Gr5rdwvpRGtVHsAFMXqYNewhY928/JhNQtyONbwn6xXKk5T1o7HGqasKtPLolv5/3H35rGWZdd532/vfYY7vbHq1dBdPQ/sJinO1mCFtkzJkB3HkRDDCWEpEBzDQgAHMBAkhgUYCRJEiAQEQf6REQhGAAG2osiybNKUbVmSJVGyBkpNiqKaQ7PZ3VVd8/SmO51h750/1l773KLksIsUhFYO0OiqV+/ed949e6+91re+9X2y9oaDR1WSVZzG9vwhZaS3cr2tg4BuIPVo08UPZHFJ7Y/qaK2m08IiHEQpy0XIpBxNCV2bAEc92VOnQO2nQU6DfALoh27ApNl+7QNrW0qdgzIzkERC0rmFCP3YSs+/SyKSCQQqlPjkyTWq0KCHuXYNOv3I8uZnL+IIdNFiiVwcHbPyJT4KWPhIfcR2uc7S4D4a9qslhQl0wfFIfcT9dsrUtXz44FUq23PSj/i+d/0O7psP+bnPfROWyKRoOTeaU1nPvWZKwHC3nXK/nVDZnvP1CY+Oj7ix3uGx8SH6oRobMUaYhN2iyvwEk2R1u2UpYGHnpCxAspjoEw4TDc4F6lGH7yzGSDdjfnvKl+bnOV+ecNKPOF+fcLPZEbESYspqAvfeLWtE9QNNkI2qbWPdSHrl1nEccBft8sDQxlXyl+o6qjK1clBUtwKGFqMSmGSqMOFW1VDutrPBhEWp7KokVazIWaoGrUEAZyAWKc35Ya+3fRDQvjloZBVbZ914m4Kfuok3T81cc6eNrYtAtQE2DrV8ApAARqWJDotG0eX0go1Wj0vgjRCFDOUyyP1XAy14ELGQCK/Ekk0nmqxw1G7Qi1OmkxWHOpk63PmyYWQ73jW7IaPC/Zix6zhfn3Jzvc3NdpvzlZz+20VDbX1WAHpyco8313tZQ/AwyYdfXu7TBcefe/Q1Jl+ucgApjE+6hB5L5MLoJKkFec6Wp9xvJTh00XHxwiE0jnAiN2yTPkHblDgXqEaCC5giSGBwMadp0RuqUU9R9YLlWiE4GSvjyrYMmJHn09cu8YXFRcau48Z6B2tE6my3XHKr2ea4n/DYN1/L60QzKm3nPkAsMw92lDZp6EBWpNa1tClym52flQzkB2xJmah6eG3ajAsfQNaLHlrqyuzTpKyJDKY6iQmpxCY1R4GB41CsZG887PU1g4AxZmSM+ZQx5rPGmJeNMf9T+vq+MeYXjDFfTv/f23jNDxljXjXGfMkY890PfVfpUjBPzEGVx53qJRWGVGafqq/EB51utBZ/wHQkbSpF7zcHhDBQJymrnMalyL3pa6dCkDqBSCC3Bv2I5BZE1irASABSJeSsSZ/eTweidAECTO4EXDcspvzw0+KcXff83N338FR9m71ySWk9N9bbTFzLY+NDrIlcWe2z7CvJFjYiXoiGRV/jo+F+J63FRV/zyPiYW802L06vY7/5iN+/9Qi75Yo+7ZDa9dxab3F1uYtNxfJnTx+jCQXnaulWPLF1yPTcAmoZQyYajAtY5+lbJyd/sMRgZGPbgAFCygDaRnamsYFuXdAnohEmkY+AZl7TR4sjZPmy0nhurHeonfAJ/sK5V2REG/Lm0qwxl2obG0uVnWwCgnXMW9ePHg6Zi9JLKepHG5iPG6TeVIRUswQlfgHZurzdMmkdDcKym+1HLV1sJweKAt95IjaVjAo6fj0CI28lE2iAj8QY3wu8D/hLxphvBf4+8EsxxueAX0p/xxjzTuCjwLuAvwT8Q2PM11GpgA58bDKrlD2o6f5Xyz6Vq5invXJftRvSJrV2Vnmw3DVINReBwZ8wjwybTB+G4YEr1qALRUuW3Enww0SbvJAMBmnNWB9J9C5SW9A1UM7J1FFFtDNNOpUL7bY88Ov/y7P8/V/4KOfKE54Y3aO2nq8sDvDY3Dp8YnKfmZMZ/ZUv2SuXzL3YjF2oT7BEztenrHzJaT9i5Uu+tLzAhy+9hvmNHUK0PDu+TcBQ2Z4Xt29ybjRnv1rIpJ8vOF+f0EfH2HW8d/sq3/3EF6CxhKWQj4yNBO8yW7EoPfSW4A0hSKpvTMTamLID4S/oGjCAX5TSUhxLR6PxhagVNVtZ03CrXLNVrLnTbsni3RtayG49pPhK/3UtmXuBHbJPneqz/WB4oqQ0X+opLn/X12s2p10fzQ5cK10knRzV7zNe7mkwsRmA5QwKl0PgcGvpbPUTuRdfSiDSIaSsYPWQ19cMAlGuxAulTP9F4HuAn0hf/wnge9Ofvwf4qRhjE2N8HXgV+OaHvzVNyWO2B1ezSOXaq6hkbs3wYOTU0WKdL9DyQcqGQZ8gjw1XOqAjwUHRXK3TdBxYOdt6kujmdUoVTg/Z19L+EcMTLS9iVsHV+8hpaFrwej/AAyOv6GmTsI3lWYsfWx7/ROB//Y3/GB8tY9eyXy047Ua8sTwjYqCFqPcUJmShEb2urvbYKtd86fQ81gTeObvOo+Mj3j29xgdnb7B4LFBYz9nihN1iSR8c11a7NL7gfjvlpB/z5OQehQ34aPjc0SPcaHcobMDttnIC9xZXhKzx1/eOyajBVF7ag07ux5VeMgMXEpAYsEnLMHiDKUN+PZ3lpBtRpPKkMJ7tYiUWagmstEQWlwL1ScjptZYE0Q0ns47m6ueq06MqIqMgsXI8VMxDu1Pqbq3lqK9E4FaFaFW+TsVu9ABTMDJNTudx+H6sDERZ13UynBUGKsOkYa8geQpm86F8eJjrLbUI00n+EvAs8GMxxt82xpyPMd4AiDHeMMacS9/+KPBbGy+/mr721e/5g8APAlTTva/+Z/keP6Tx+suqF5zWZ3lUuIBymU77sMEDaIfNpYIRahAh9NDkPOTMoD2YAL9+LEM3rouYRGsNDmx4UJY6GsEEuslgfKHqRRlMTAuw31gwOfgUolRjFODsyPJS/chkKW1NE7tZ0hgYGZZnLcZbnviZnn/8+nfyNz/68xwUp7Sx4EpzJk0S1uyVS2rbM3Eth92Eo24shBtXsFcseeHgBh7L3I+41Wzxby6/yOLKNqPblk/+oz/DSzc/yPpvHfKfP/kSnzl+nLHrGLuWy8t9VkkZ42w95+xoznE35mJ9zDsfvcnnPv84oUnpPKR5AstilVhUVk5/iLK5Ad87jA0YA2Xp6VrhCthSCEXdqsSMe165ecDTz97FVaI7ALBdrCmj52YvmMil99xk9dmLOduDAdnP7Tk7BPNM/+2HTMEn7UkVspHsRLLDwR5OZMqUsKbSctqxEsKarL3MPfExeSAOHAS1Zg+lZHo6Ei0s0+HeQwkuaJaSsIExhMIOXJm3eL2lIJCsxd9njNkF/rkx5t3/H9/+RxUlf+iuYow/Dvw4iCvxV/97bsukf1FFWKutuGSBvdlGk/paIqxL4FvUej+l/5tz3kqwEOBIfOi156uorbaK2i3ljcvpXJ0mi3LPMGnoN+zG0C5CYoOp52AYAoACQZihfpTgo1p5Jmc8eVQ0kkao07zCWPrfq4OCi7/R8LEvfhc3vqflI8+/wrRoeHJ0lyaU7LglpfF82/TLnIYRU9Py6dWTfPz6e7h85SzuuGB8wzK7Fhjd7zmIMDsLxJDnIqY/tsNv/tDTnKmX3G2nXBj57EtoTeTaapfdcoU1IcuGmbEn9jLFWKSTPiC0YVNImdD3TnQHbMSVkgVYLAEIXshH5bgj+LQDvMGUkf7emPI5n+jDE0oTOEnS6eu+pCkLLkxPuNJdyBTzLjkWqbu0alfaAD6tJVUFMgFCCszK+INBelzHeOWgGUxwVfMQyEYjqnep2YbgoEMGIqWDgKObhB8Fp12XDG1TUClWZJFTmXSULpTOnDzM9VBkoRjjkTHmV5Ba/5Yx5mLKAi4Ct9PzkABdAAAgAElEQVS3XQUe23jZJeD6w97YpsCn7SJ+PJy8OsgDQ92kNZZGd6WLKqFDN1k/ZgDl0m8v3yPRth+ZHGSKpSySbpLea7NPb0w+qYuVbNR2y2QkuRsPJ3eR9BGjHVBdk/jfNlFXtbQhwugw0E1sHnYKhRkGjqIGMMls6pNIuYzYVkaPdz59i9kbM17fegehtHxqr2B1YGl2YPVEx8888n7uXt1ldLPg3Es9buV5Okb8yNNN5LSaP1qyPmuo78V8+swvWUaHnpd/7Vn+m+/9Vxz7MbXtuLLYY+JaJrbl9SCZhzWBYCx3l1PKcUffOorKMxm1HB9PsC5KCRAN3Vo0BVwtfy+rnrYpMUYyBuNE0LTvHERwhWgexGiIk56Xjy/y2PSI3YRz3Flt85X7Z/n2R1/nyycHfMuZN/jiuReY3hBTVtmc8ln3Y/JMiU1AXxb4SH8Wq/chA81t6tRG1Bn/7BRkE2jdSQeq3RpGf3WtRYOUiZtAcxOzmWnvhrUOZLEZ2w5rV8vcYjWA00pd1/3zVq+vGQSMMQdAlwLAGPgu4EeBjwM/APxI+v/H0ks+DvykMeZ/Bx4BngM+9dZvSS51BNZoq6QKIfrI95SJlKGWVJm0kT5kzR6UEw5DXSj87GFTZfKIA7eAdkam8T7ALGyUyqlcb0nVfWky6w8GwDCbhUZtY24YnzoD3QAeRmvyPcGQNah+oXIS+pEg1dU8MrrXgTUszxWEsqQ8nBAqx+mlOte1o/uB7csBft9g/A5brafZk0A0f7QS4grQT2FyQzKR6jhSnwQWFx3Tm4F+Kj/j3EuB/+vd38ZTe/fYq1acqZdcWe0zdS171TJ5Fy64UJ1w//gF0QtAUvzFspbN3VmKsqdrHK72hN4Seot1Cgp6rI3ZHCX0lqL2GBPx3hK9oag8/aLi1ukW7927RoiGO+sZX753wHNn7nB7PeO57Ts8P7pBswuT2yYj7xqIda1oGVguY6YBm4Tz6MldNqIzqNgQQOwSyJuyz+wl0A/4UvbDCDGDxt1MMk6v6xq5r7zBEzCdgb7EMtwsfYmD4YoaqoI4P/cjmzGlt3K9lUzgIvATCRewwE/HGD9hjPlN4KeNMX8LuAL8dYAY48vGmJ8GPg/0wN9J5cRDXVm3PQ4PaVOBx/YSZQkbPvSAjuTaPqZUa9i8Chhq3Qdpo3YRnwg8hDQqzNAF8OWQlqt+vZqJVgs2RpUlfTQJk8iqx+n+1TMvagrYDePM4p4j995NhqEkTV1VLMOXQhEt50KAuv2hmp3vuMml6Qk3F9vc+afnOffJW0y2ShYXSmLSXFRAKp8uBSzPOaqTyOROoJ0OCzyUJgFUFtvK4nepNdnXhuW64tv2X+PX7j3HrGh4bHJIHyz3U3uutj2/f/oo3WGN3eoIraOcdNIFcJHoIXhL6Bzj8ZrVeoSMbMvAUPCOGCQ1TqW0rIkkW2ZcFPkyA6eLEY7AtfU+n/n8U7z/na9TOc9OKV2LYz+lOevhS2oIErNghw6LdVOT11UeQ49Dmq7DO2WSkdMaXecBFMfRbkE/JmWVEtg1m9tUl+rHIiFfH4o+Yj5k2nRwjAfXJHExNqz3k75AGh9uZ0MpoIzaZtvST0XO/K1eXzMIxBh/H3j/H/H1e8B3/gde88PAD7/lu/gj3+TBkmCTY/0gpVbSKIIAJUXSdA9sEjokZXOdeeD9xeZLeNgqBbbpXLs5yeeTh53Mjpv8wWsWIjMN6STfsEJ3ydcw+wlOzcAaiwPZxAR5L5UO0+5F7hfXUvsPghmRG9+/5n/74M/wZ0d3+N1mnwN3yo/+zb/MzbvPMLm6oJ+4DER+deDLQdHHB8ZblSQVregYju4FVgeW6jhm9uaZn53w7y88y8XxMSGlMe+Y3KQJJdYInx/A7XTSEeiNUIEbJ4t60uJ7hxv1NOtSOASjQOgtvne5W0CQQIGJRKDvCjl1rbARYyWvudNu8akrj/PeFy/zyPiELorTEa5jv5jDdk+xdnQTl0FZ42UjVid6WJDraxg21ebgj1KCtTwTx2uGWYI0aaoZbLmQN+rHZI6KtKkT/rOOuXOlJYHMAcghYL0cSLrG3HrIJoMb9BI0G1bGYtGETCR6K9fbljGoMwLaj9faTYeANjn+OuLr0/SXgnqSPpPHSDd1B5TWKycfGVNQhyHdMJuTiln2vEvjybpQDFnbsGgGRyB54QByRjcYimrHQt2R2plgEQpM5ak1P5Ca9DPZfrNn8ajhf37/v2QdSz42f4aPH76fl9ZP8g8u/Rw3/osWP6twbci/o7IXdU5BPQtkZNVkCaxNsDWa4WebKGlsfRLoR4bvPf8ZLtQn3GsmhChMwSYUzJyYjp60Iz78zKs8/chdKOSzMmVIIiNCIoresLuzIK4K/KKU77FynJr0uGx6jcqTFaUnepM0DcEVgc8fnmc6btmuVpz0NQfVnIlt6YPjyE94z1NX6cc2i3tqexYGFSid3dC28WYnQbUstaVbJmOlzCcwJGp6zFTgah7TAZV4BAlQlgAQc+tZ13QohulWDVDrvSRrtxqoz4opqNRYOzU5Oy1XMWeuD3O9bYOA1lZCzR1qcG35mQ1Sj02OvMrMU6bVppmjbiqlhyrfWt2HYcgaVDk2C30wnArFWtRrNdiUmqaPhlox+8f7DQTYDtRTXYjqTaALRzOQTDYKukDkHstVzCfI43/hMnf6bX7l+EVeWV9gbFv+YPEov7N6kr/+4qdZXKyzDFsoH/wd1eJagVJdUJujqMHJ79pNrYwwp4Gs9Z7l9EnDj736HczcmuvzHe62s9Sfd9nWvLCBs9Wc9+1d5dknbwlzEDAusF4MEPaqEVVjO+qxRSQGS5WGiIoipUsGwQiCEItskZSRKk+/KLn5hXN86MKbjF1HGwpGtqOLjoAhRMszszuyZlLwlbUUH2DxmY1nnUvOBIrmdnQ/rEnbJY5KjBl3Ujckk2YBYFAniukk1/XxQJ8/Ed7yZ5/K1nI+lIDBDUasujaUQq4SfH1tcunyMNfbNggoddYEGB3FrKyixIqgtmTphFJn3jxvoIt8NDxcIfXIB+lT3av8b30ImTDih9PeV4mJuOFNqKeynujKINM2pGzq9HM3waIwlDXBAUFSSNsNET7z2UtyF0D60VCsAqE0fGj/CuvU3rjbzChsYOUrPr98hGdGt7n9Vxv6sc0nuWYSyjZTNaRN+SvNdIpF+jy8/m6RdtswviuS2UQIHz/DT7/xQQob+MDWFeZ+lKcLD9sx50endFFszS9OjnFlIPaWsJJfrig9Oh2IgdC5NDLsWa9Evtf3Ioq6qVRkjKgT20peP3ul5Mlvus5BdUqIlq2ioTSenWLF1DXc7WecKRe0W4NN2KaDlKbviiNpai7l2uA0rKVCP9EDRXEjkx2MIIGDYRhv18zV9sNBoYQePxLAzzUxlykKXnYzyVK66cbzqYdMVL9fM4diNZQlD+tU/LYNAvmULJKk8kZdpbW6ijmO7ofcgtncuFr7bmYV+VQ0D9KPo0lATiJ4ZBnn9LP6WmozTcuc6r8XG4BaqsM2iUp+RJakVonorG4bhtZR7l6kr7lWFogq4PhKFG1sD+tdx+P1PW632+yXC4o0GGRN4M3VHlfaM/zt9/w61/9aS33UkznxvQCKbp3S30K0E/QzUeENnUbTOljdfNa7luo0UCxhfD8w/bEdjpZjPjL9Iq+tDiis5047ow0FB9UpXzw+T217Lo5OePTsEbQWbKQYdYIRzEuaVUlYygcWV46y9Kk7EIhAu6iELBSgmrZUtYw/OxewV0eszkWe3rqXx5mPuxET2/LF+QWaUHDcj5m4Bp+8I7MQR8qutKxUrQillQNpliOxTLUdGIZ/lzIvyYclcLBKgK4OhdleDikdSAopQ9UyUtiFG+ajKSgXS/l5ergoQ1UzRl9uqCOFoZNgEqPwofbaw337n9wVjZxAws8f6uw8ZZc0BkIBza7Nm0pLgKwDaAf6L6knC+QHpL4FJkjtlklJG1RhJY9kn0GvoGJqFyZ9AZUSU3WYBzoaqbWpv0O0DFr46d71dQMmYLJ6jbjVCBeg2TOcK05yGt6nNLwNBRdGJ3xpfp6JbflvP/CL3H1PzeSeT+CgnCwahGwf8+e12VIqF4nIZIfgWayFh78856gPJdC2247F0Zg3+j1q2zF2HYu+ZlK03OumPDo5ZreUtuE7dm/htjrwgsKFeUmx3VJUPXYi+Wu53eaWYoxCMLKVp6x6ylpky/veUX12SvnpGX4cCQftA65FW0XDrU5szcdfpbDRTwz91GS/iW5mcitXyz1ZHEMW58shU3RJ2k5LBB0GE8BQXpdVi8zwXtVJ0qlMpazM/sdMAhodhjzWrrMiOkjWT8h1ftRM2AzsQQ3YuTxIkuUPc71tg4BLbRSVenItuR3omqEmd63Uc4rwFquYo2aRNPnq45g/fBgChEbVYaLPDMBLAm4UsVeSkqbo2ka0nuxnsEHJl3/rRXeOoAyvIZNxbczOstEOZBSt8RRQDMlnTrMLgJPnPD5aGl9w0o/yYr/XTNku1uyUK/5g8QhXmjN81/f/FkfPFFTzSH0UcqcgWrKDLwxsyHZHsq7gwCUehoq4qNPz6pzh8HnH6ozlsY9ZPnn6AmPX8dr8LCEaGe9d7QCibNSEgkfqYy4dbGgNNDI8JOrGEUwkhGE5yqCRUIdtAgt5Y8LkkzMW72jwHzolTjyT7TWl8VwayXtbE2mCDBaFaJjYliaUlPNIdRIZ3YvZvksVrEWwUzZUPihSkNT6Whmc+sxVuVil5X05BBJdP9ZrN0jxrATcpRI1JGPRdstmOzE92KyXTLBcMAystRJ4pIMlr1Vasmaym0a8b/V62wYBE4ZUGFJEJKVxUWrkuBGxVaxR0mY5lbM3XDUMDgkIlqKo0njdAK4oLRjI7TlF6DcHjkRFViHkAU9QYxKncuhO/0yqDWNmH2ZzjCR8sZml5NZgNaShaoQ6eXTOnX6LadHisVke7B1bt5j7mplr6IPjzeUete356A/8Eqd/45jVWcvW1Z7prQBGJhGLFVgdqUY7Hynr0XKpSvWoh+o4Mr0emd6IYKE66fkXr7yHs+UphfG8f+cK95opu9WS3XKZPANWzH3NpJQo7HtHnPZMt9YZHyjHHUUpLcOy9OxsCwTvlwW8tMP4k1t0Z3v67zpiNGuFQdgbzs4WNAkMPFvP2S2X2dNw5SserQ95eX6R0WFAx4hVpFOxGeVgGC/Zp57iWg4CrPekg6LiILJGBTdQfYpoJeOrT7VzZLKoaHASbHRNZ8m4blCz1ra1tP5irvHLpeAG/XjwJsiUepNKgdTRUZzrYa6Hog3/SV6q865z/HbFBuhhII1clqs4gDELFZCQE1btpzWdVX63gQ0/t0gw8hptrRQ6s536+XETLAra95eWXrGKA5moGwAj10Scl82uQUK53nmT+yHKKzCpJ7PShDfZba6NuHXgyf373Oh2WfQVY9eyXaw47UdM07hwFxzTokk1+ha+svx3L/wC1Yuen73zAd78sefYetOzuOAy2URBznJOpj8XSwmI9bEAg5oVhMJQHwsKbrqAvzrh+IUJI9fzyuICu9WS0gTutDNmRYs1kfvtlEnRMj6zYnU4hiKwXpfEYOjaAj8vxOzUCBFoeXfC/ksF8ydg/eKKvvK43rFaVeJetHQw9vxH577CST/idrtFHxzn6lM+P7/IM9M7XF3t0YSSX3/pRR4lkX42BGNDIvK02yZrUtpevtbtWUZHIQl2yDroZkaAXD+IvWYV7HYA5PQ0luctqk/lMtKmkfgitfKCsw9keNqG1pISBpcjX8lnriQ1DQDFklxK6Mj7hmzEW7retkEAGNh9SsRIbRPt+0sZKBtQBoWSi0waJy6XZAUfbb/keisRZLwZbMNdm1xsrbynGo0+qCic2j1ZjPJBVRi955C86KOR00FSRe0Rb3jcGan5jU9DT7WizglUmg5EJushFoYnp/dZ+ordapVlv4+7EZUdc250io+Gla84X4v81lE35tfad3C+PuE/O/g0r/3QVX7yJ7+Tg9/rWB4UIo+9QbF2zUAgUnENotS2/URON9VhsK3HtoaJE2GPw3bM+3au8uZ6j9O25nx9KsNEGB4ZH/PZ9hIXftmxuFjiVrXgEtOKbgKrSz2mNxQLS3fQcfIdK4rSMyt7FstaREfkoRGLyO7BPPMTSuezslGZxot3yyXrUHLm05ZQphq8jdngI6+zVArFmDK2mKjdSuRJAN7oMOSJUC0lrNfPy2QZsKwg1Sca78bPCw4olNgTH5hDkMzSQOoaKSbkU2ei3TIyb7KhpymTgwOAraD3w1xv7yDgI3aR0i4/uPG6hiwiWqwj7dRmjr9O4On3FytNpWzSb08992REkSOxSWi5GkVE8lyAnPLCZe/HgwJscDLmO1ByBxXbTWBIp9FAshF96MPPGYJUdrGFrF6j1GOZObBsFysmrmXlK6ZFQxMKLoxOKazPfPuVL9MwT2TlS0oTuLbeZe5rvnf303zxe87zypvvpD71+MpJJlAkSmwn2ZAKXCjbUTMS2MhirKGfBkamZ7dc0kXLp48e46npPS5siWDJrWaLtS/5vVuPUn5hwq1vCZQX5rTzSmjEwTDbW7LnPItVjXOBUeFpmpKi8MznI8LaYcogrcZZwJ9UPLF7yP12yti13Gq2qW3PnXYLS2QZKvEk6CfUx4F2y2blak2nNfBlINelvn5uJcqQl5iHpqlV7e4EsGnWpE+bMJiBK1AkkVBt+2omILRwMr4iQjmG+jhs6FkMGzpUCpAPA2j92BDLFLAg25jrenvoffbwL/mTu3xpsteaRtbR/aTKOpWo2GzZPEmo37feMzmVhuQLXw6ntvZg220Z4lHutrYIVRwiWiVfJG2AlAoOGvMx6/4JoCPIc+5Dp1OCRAySOj+d6r20k9QyS2nDWiZoPZg7B0ggWlywXKyOudvNKBKLZeVLFl4ceU77UeoWBG41W1ldaLdc8szkDn1w/MbiOf7uhV+E77vL8sCx+5WGnTd6Ztd9QrKHe4REQqlEN1GtsSF1U5Yte08dcupH1OkFlfPMioaZW3Nltc+vv/Isd1Yzju7NOPfh6xTnViIZVgpz0I16+t6xXFd4LypDzkT61jE/GlOPOhEUSapEoXW4rY7Hp/cBOFMuOFvPOWzHWCMiKCPbcb485l/8229FyVo2Acha/3ezVHaWA4gMZP6AbLo0tFMN6Hsm7TCUq9rRqVLWpuxQXQcDQUhqfQ0AZQKyozU54ypWMXck1DlZQcdMKEv6AsaTDVREx3C4t7d6va0zARg03bXNp7zrai0fVDu1mSWlH0BwJqOnqseu/dvg+EMCDZn3nR7CJptPZJyHFF1bezBIP2tvnQCxS/Wm04xg6C4MswoMhCPt1ScNg7jBT1eUuVymScSERxz7MaXxXFvtArBfLTnqxix8zdh1FMbTR8duqmdq67nfiQrQdrHiZrvNb62e4b9++pN86gef5ue/+CKzT5eMbwemN3pcE7CtZ/74iPWuZXwvJOKKzR0b20N5J7J+ZIuPPPq7XF7v8+zkNstQcbeZ8au3nuPya+eYHCyYbq85Wo558rE7/Llzr/JJ8yyXv3iBqBiALyl3fRYVWa8q1lEowTGa5FwsIqN974hrx/ueucxemugJGByBvWoFwHE35t3T6/zOyVMcfCbSzqykzhPyM+umEsyJMXsA6oCQjhBrsDfGZAFPBQu1Tax1uGaQRHmG9MmFqB/A5RiGbNOn9dZNhgMr2GEqMZewij1vYkcpC+smid5dSKZp24EG/TDX2zoI6MCKiUm22w701nbLYDvt2cv3autHfAfkPZQD3+zIphpS+fRD0gkRjCq6AOnBhcIMvV0f6YthpBkeHDbypckgYSh0M5Ppp5riKc9BZgRMcpIZMp2YpsOUxRZSPao/s92G0nhWvuJsPee0F4mt2vZ50x+lVsqNZoedcsWir7g4OqawIXsLXGtEB2C3WPI//pl/yfs+fJXXurOsQ8n/efnPc+vfPcLZz3VZICMLYvjI+Fiwk+rU0+wKR6EPjuN+wucOH+H64Q7vfeQai0sVxkQ+fOErNKHkpK+ZuTWPTo95ozyP6Qxmt0sbPbUCo4HkVWBtJK4LYkQIRkmgdHx2yV61SnblDetQsgpV8l+ccrZaYE3gN/71e9gPPms+xI1UuVhBKGI+wXXS0zUJs0lYgBKtNhWmi/VgGa/dIh38EuvzBA63pFI0ZY5B5gMgfX9ao2qs69oI6ee4MKhQu7VkoiKBlzgry2RhVhhMN6xF0/LQJcHbuhzADrV/NzYZqFE0dlM2WlPm6jSNWW4Nyr0q4e1actdArzw1FrROl9Kg2Rk2HsjXXTfQjrO3fB8zr17tzPQhaGto6PtvtHdSu1BNMHV8VVuMOcXciPzFMuDHkfPlMV20lEYsxm6utymsZxkqbjXbVLan8QVVSs/3qyVddIxsx8qXXF2LnNvdbkYTCj69eJIfv/Pn+YPVJQB+5Nl/xv/wX/0Trv6NnvHNNarjEAvwiVrczSQzWJ21fPvsFXbLJT93+V1cnJzw3keucdSMeXTrmL9y6eWUhYh/4KvLc+yWK2bn59i16AgYE0U1KO3SblmJX4G3uFoyBOciIQmQvPP8TbaLFTPXcKE+5n7yQNgpJBN4dnKLK80ZzvyBp9m2KfAnTknCejDi9KwljwY5UWpKX0vKUt1sOF0lgzOZ7acdLNfIyZypvyTWZVIe6kcmH2ibNnVKK9YsUQe6VENDg0wGaTstEcjuSTBMET4sUShts7fxFVRVV/6qvXoF1pqdDcOGZE8mQo+DAqyCP340ILfVfFD31XaRawdkXgc41FFGgSMlY/QpIEWTNA3S+yqts1yKt52aWuo9Z0IKA2FHA5OSgzTQbQpKRKvkKUu7H7jTb+FM5H43pfEFhQmsfMnt9RYLX+EIHLbiRahGHAD32hmV7QnRsAzyfVrHA1xvdvmd+VN8/Pj93O9n/IMP/hx+UjC+IzvAtvKftmRdK1NyP3f4Xv7tlRcoXCBEw+FaMpGD0Zwvzc+z8iVPTe5xp51xZz0jYPimczfw2z3VpCOmwaAQLD5tfB048o3wuJtVCTbyrsdvcG40z25Dd7stpkXDhdEJd7sZtevZsms+9i+/Tei1KTvUzSlzFJKBdRObiTliGhoH5+g+ZUAbvXh5DmmiMx0e2v2xPlIuldxl8siwakdsmtHmFN8MY8oSaAZDG+0+aAmsoqdacuQOgR/uy3UDr+Zhrrd1EHAtjO8NpJx+rOwr+Vp1IvJa1gsFNJrkUZBGNLuJbFzlzKv/fDc1uR+rqZjqv/uUttcnId1DzFJRRdIJdJlIY4YpsTSDoOWKAj9AThs1iusp4CtlRPKAYapOvD3AU0+88+LsCkcUx6H6mLP1nNJ6ShOSGamc+jvVOvPpQ8oarJFNP3YdIRqOugm3mm365EZU2Z5VqOii426/xdPVbW5+S02x7PCJYadtrTJ5M5QL+NU3nuXMdMl7zl6ndj3v2LnFCzu3uLXeorCeR0dH3EsBYFY2WSXYjDztvCJ6aZNYK2YkwYvsmICEECPExvHk43d4x9atZL8WaEJJHyxnyzlPju6y6GsOqlN++fAFDn4vSMlyEvPsyOYpGUoB+1Q9WrEgVXHS57Y51JNZoTr0ldSAdZ5f51aKJD7q2pjt0DWN15N7U/GqOo1Jg1LWYDcVIFZby0BuIW7Si1XGXLMSPcQe9npbBwFfwWrf5JOnXMRMnml2BNWXGWyTraG6TTpvI1wBqfNSjd/I+1SnIdtB9UlDUHvicupbIZA484BAg0ugYrGMeaZB0zXVf9f5gs1eNKSxYz9kDKpcUzTiO6daBNoy1NpPTwciHOzOs9uOx7Lo60wOChgOKjEAqWzP2XrOUTemSytJx3wDhplruDgSbn9tO479mJ1ihSVy1E34rftPcb3b48W//AqEiOkjq7N2MNAw5HmJd1+8wd947FOcrecctyNurrdpk+T32HWsQsXV5S4jJ9bpbXB54tBW4kQUgyFE+a8adUlzELARV3jsqOdgPOduK6f9mWrOI/UR1kSuN7s0oaS2PYfdhM/9P+8EEqc+DsIbxTpSLIfevD67bDLKkAUq7VzJZ6DlonxvuZTM0Y82CEhh4zmnn6t0YLsR1LOQaCqzdDLWJ8BVv1cNbqXzJQeL4jPKMNXSUWdhvp7rbR0ErIJ+ie4bCpm4sn0U0YaNX7wbJyeXecxz/XqqKgJrkxlIu2VY79mEwEaZQtRULI11mji0/7rp4CWnPH9fD5FXpKjJ0lC2izmK5zFeQxJ/kH9XZZphLNTQbA1dCDZPLzPQTH2wdNExcw0hGupUrFoT+dS1x/m/v/BBZq5h5UtWvuSgmj/gKvzE+B67xRKP5cpKsIEmlBx1Y75weoHdcskHt97g4viEm/0O79q+gW16ybhU5bmWvvbk2pLTd7bslGv+2fUP8PriDIUNPDG5z0F1yvnxCc5ETtLPX/YV99spf2b3DVa+pBp3hM4Reyv/BTEhBfCLktCLnmB3XDPbWnOunsvUpPHca2cc+zHWRJ4d3+bN9T6F9fyrV97F1jXP4rzNMl46zKVTn7mnriVcSqGzW7QftPwU9NM5FcUBuukgErtZCoZK1pcK227iA8ZDPxVMqkij6SAZpgYQJWL5kayb6lRazm6dlIT88H6Kh+U1k9b8Q++zh3/Jn+yl9VS5HKb9gjN5MEM3uvXyQSnFUjnXtk+1UmSDFjzw8buJyeWBiGjoQE+SeOpkcAbICkR6HwLyxNydkPovMQ5TcNI6ekjrzAZAGLOct6aJmUCkbcteyE6K/u6PpQPQhIIuOu53U3bLVSYJ9bcm/Osr7+SpyT1xHArSGZj7GkvER8tJP2bR17wwvUVhQwIZA9ZEbqx3uNKc4YnxPZ6s7rL0FatLs0xkGd8LVCeR2eUlx89P+dEP/1MA3rN3jeoioJoAACAASURBVPdsX+PZ6R266LjZbGc/AoAztSD2791+kyaUfOryE7SrkmLU5xO/KD2jcUvXFhChnra4KmAnPe86uJkzGvFAFJBz0dd4xID18fo+W78+Sc9IqbvpBkw6UScPcjV0HWgNbvwAHNouSciv9bQdSgvVJ4zFkOaHAkgZKwxDYfJg5dmW84ialupaGsDB1EJcS3mgrWJZNxuBabOnp/hCuo+v53rbB4FyKSeyDrDoh1ksydNbOq9v/YOjnO3MZMERbcHpia+brUgftgpOgrxW63p5/cAd0IeldaK2BGGI3jBwFlTFSAFCXYB6CuhQC2bALJR3rniFzjAAjFzHPJHU++AoEjnmqBtzZrYk1oHjwym/fPN5dsoVu8WSwoasBbgMVZYFv97sMrJdwglanpgI+eaon3C9EQ7CJ77ybnwtr/W1SF7ZDpaPTvjL//0neVd1k8NWeAvXm11uNDs5CwHogliTddFyaXJEE0o+cfXdxJsjiroXKoWL2CIQI3RdgSs85XZDCAbfOKK3uQ1a2ECf6JdNKHh2covXVwdyf4j8WTuzaX6EIWVOE6TaIgbZNJt25TEh/aE02XpMg7EOBG1iBP2EIdj3yVY8ZXyZG5JOdpOA4SwWk0pIk9L5mMBHsdlL5KDkvJ1/h27ALfrR0LHQ4PX/y3IApDuQzSFtAubSRlahEZ21j8oGSx9GsYrYdpjnDgU02yaPcpZLkYGS05k8XbYZvdVQdLPdqIw+RY5dM5ws8v/EsfdDMNHa01dmYzovacMtYj69NACJjjw5iwlF2oS+ZK9YsFcuGbuW0noWfY0zke16jZ11xM7y5usHvHoqnoRvLvfYrxasfMm11S7bxYpzCTu4025l3sHdZsZuuWSrWFMYTxsd7dUpo3stxTpSHwa2L/eM7/fc+74F75+8wc/P38Wyl9bk7fUsawr0wbFdNIxdKxyGcsX9dsrNZodz0zlhy+M7h1+UMkFYeGKwrE9rfOfoFhXdSQ3eUNQ9s6KlCQV9sFgTmRUyKdmEkq1izaP1EZdXZxnflWiZs8QikX82g3w6gTdLvH4CJCBQQGU5AFxS9o2OQfU5pA2qlng6mh7TAaHdgG5wB5JJ0dRa1hLByRCaTpiKL+JXEd/SOhDVI3mtdgFUPxM0Q/769tjbPggUSwZkNm34aEzmD2hNJ2ouZDsnINmBkXX/xeIppWSdSGkXK/1gBxEHBYqK9UYrEbL+oGoV9iPy6K31ZM641pbDkA2DrFQKLCFteCDbTWnpo4zCah5TbRnz76+ZgFqJN75g7FoKE7g4PpHWWrL8+uK1C9xvpzw5ucdRN5Yx26T+c7PZkUlD49ku1pz0NZfGh5wpF9xutvg3r77Iq+sLnHn+Hr521EdexlznPZf/quFH3vuzvNmd4UqzLyIizRRrpGsRouGxySErL2CdUpoBattxcXwMNhI6R72zpig8vhd5sWoqR7YpAm7agzcc7J3m+wQ46iYcdhM+sH2ZdcIznqju8vNffpF+bLO7UJZ+W6dN5HVzD5ljsU6pv6rx2OHZZ2HZnjx2rqd0SMElOxj1OhKcNrlhY6ZEsggN/FpOavtvM0vsxylTSNlKNyW1iU0eFFL8C4ago5jF13O97YNAFlqohhReuwCaGSgwJyIMg4FpyIDiAAxJr1XqcPX7A0m/1Q1WMQBfSxfCpEGl6jQIsKdobErHtHUZnMkiICprpnMOKhapgOGQUQwgJmZIGaOVh+26gbtvPLxxtM9xP6awgdJ4atfTR0cfLY+MjqhGHbb0uO0WPy/4zWtPUlqPM1Fah+WKWdHSRdEhKI1ny605X59Sm56feu0D/OoXn+edF0Wb4Hsf+33uvK9i8ntX2P3Uda5+ZMzf/rO/yqcWz/Dl1Xn6IO3IyvU8PxPnYmsipZGpPvUIrG3P+fqEo27C5fm+oP61p12XrFeVmI86IQ3FYKRb4IU9+K0Hb8jvasVyfL9aEKLlSnOGLu2GLbei+OKE9a7Fqw6AGbAaZX+Wy6TnUA0bW0d3c6swpee2G561zgtoVqCya4Oz0BAcMpDYxAeUqTT7UMxAwUQ9VERMVA+8mNesDqeZOGSdinEoD8GEh1cU0uttHwQgbf5eo20kqwsn/rag+WShjm48DOIIi498WmfEfaNG66bkEVmQ99EpLi0P+tqw3reSUkZNz8jpXtZE1BZaHBZgsXrQotx1A60ZVDgkZn04DXQ6GakEFesjnXdcrI5xBJaJeTRN3YB5X/Ntj79BWBZEbzAjz+LehJdPLrJVDLyBrWLNoq857Ubc76Zca3a5vNznJ1/9EFujhr/0rpd5x/Ytrq53KW3P7C/cYvGBx7n2PY/xX/61X+Lp+jZddJwt54xdi4+Gs/WC+90UHw3PTO8kkREJVE+O7+GxHHUTVr7ksekR5Vg8CSazJsmHixuxYgREQ1wUmFJ0CVYJyyiN583lnrREo+GkH/Hs5DbXun2230iu0Smd1k20qdOgPI5yMQTpoGPTfgASu9kgRKsKTzBknioiouBfdrCyZkM01mTfB9cO7UnVA1BSkg6caQsyS8GrmrYeBPWm7P0QRIr1oHr09Vx/OoJAqvWVrScTfynFd0lFqBzSaKVlRjukYZukG9sL2adIqK8ovuoPG1iHGfVNtXnWj1dAKQ73tylYoVLS2oeODkkzE8mk2bHD/XrNUOT00qGRTEFOV7mUk2lxOmLmZEOfK6WutyZSmMBJP6YwAbzBOklzTRl4+eZFQhRuwMw1LPo68wrGruN+N+WlNx7n+bO3eX73Duerk9R+9Nzttvi7T/87Zn/vKt/y/Z/h3eM3udye5XazxTqUXKyO5R4Qe/Cx61j6itdWB5yvT3LL7/Jyn9r17FYrrsz3xOarCLRNge8tMYpBiTVRXIyLACOPLSK7pSgH32+neCyPTQ456gSMVCJUE8qM2JsoXZ5iqdZiuiY2O0XkDo2SuJR+ri1azfD05FecAYZgkmnIDIFHhUCkHUymh2c78n7IQJXermtPso4hc80iMwkY1ICha9SPEq3ZD2vlYa+3HASMMc4Y8xljzCfS3/eNMb9gjPly+v/exvf+kDHmVWPMl4wx3/11352+n2ZAgbwJ9QOTtGsAaJRUs9kvVaQW0vBHaTIJJz/sxEPYHOFVTTjxHxxky0QsYhDe2Bz3VQoxkOcIMk88lQJuHTP6nMlN3SCImk+oxCGP1gj7cWyp3qjZtisKK+i+JXK72WK7XGNNYLtYQRnpFyVFKUSc9eGIT3zl3SJLnk7UmWvYTy4aL9+7wPufeJML41POVnMO+wlddBnlv9Nv86NP/izfd/Y3+VJzkddWZ/Gp4P6900vSivQl1kQmVnQOBGwsubHe4eXTi4xdx0Elgiev3jgQ0dBWVng16rEusQWDlc/fSMegrHqsiZkk1KZswJmIxyYNBcvVdg+T3JSiGXj00vpNXaRCDpFNMc7N7o6erDCAcznFjjp0RMokBtFR1alUQQ+VdNcSLitcb2YktaxFlcnLmaOVYF+kUkIxCeWtyDyC/HzXCPZRLHmA0Paw18NkAn8X+MLG3/8+8EsxxueAX0p/xxjzTuCjwLsQ9+J/mHwMv6ErT2ylYaA8YOOGD0843gPhI5uCrgaMQEdBpaaLD5zg+nUtG1RFJqTyAQa8QBbTgDAbL1FZH/amjpzqCQzcggHn0GlBxQbkVIrSxdjgqOsJtftKZMut2HJraiv6ffvlgq1izZlyIVjBrJVJPBMZT1pM7WkWFT/z8vuZ9zJt10XHtfUuv/jqO3hh/xZPTO5TGBElubLY4/pqhxClvj/2Y/75yfv55PwFrjV7jF3HpdER97spl0ZHnKtPs/HHST9m4SuurXd5fXGG3XLFXrXktKvx0XJjtYO5VdOtC+qJSI93nfgLdE2BX4nOgD6PM1sL4QJEw0k3Ymxb7ndTipS3l8bn/zAmzWLIaartPOP/MCqvGSOQbcO09u6TN6F6Egzofxz0AxKib9K0n3QPEg9lxQPTptq/jy4Zi/qYO1gqTZc5MEm5uhubDHZrSzKDnWbQOOgnPLTPwFdfbykIGGMuAX8F+EcbX/4e4CfSn38C+N6Nr/9UjLGJMb4OvAp88zd2mxvgTeLXKyqr/5ZrNW3nJe5AKAeSRZ7t7hL6mya8XBfzYgHdwEN7zgR5sPoapftqWeHamHkExTrmTkS7bXL9KG3DjYWWgEmdV9CpMRNj1qiTE0w46X5kcsC61u1T246jbkJpfTIeKemiow+WR84cZxNP7y3GRqpJS5iX/MbrT3N5uc+ZcsGn37zEtz/1GpdGR3mQaO5rXti6xbPTOwCcdiPeXO9xvdnlsJtIO5LAnXaL2+sZV1b7vHp6wMJXOXM4W805Wy14busOte047UY8Mj7mpB/xB5cfwU8D1aQTc1EbMcB6XotF+UQmY8pKSES7oxV9ypefm96m2WDEjBIye6vblt89PZtiJSQvrek1wColmJQlaMmXJ1N7ncePucZXrQmZIzB57enXVQRkk5eg6zGLmbT6eu0YmDxhmGXK0rreFLIV0VH5ed3UCC8hBQSQ962PY9bE/Hqvt5oJ/B/A3wOdrgbgfIzxBkD6/7n09UeBNze+72r62gOXMeYHjTG/a4z53X69+Jo3IKCI/Nk1m6nY0MLpx2TJJQUDi+TjpnWgpvgh+bcFR5aN0ppQF4DaiGuE7qaD1Jgizir/pe2oLCYSyZLdyg8oklhqcGmcWZHdDWwhGsMDev8rAX2UnlqsA588fJ7zxTEBQ216SiNcgZ1ixZ12hjERbExy3oGwKjAGzLjHN47ffuUpfuKz38qHHhPrriurfQEBU00/9zV3WlEztibyxOg+le056ib00XJjLVnCpYkEj0nR5tICYOUruihzDUfdJA0sWV4+ukhcFFAFcRKyCSU34ihU1b2oBlWerikIrWPkOhpf8MzkLtebHWyamLzbzOTzjoZL1X0Wff1AoO9HJoO0ub22sUFVRqw6FZ6/ntxhA6vR1F85JSEFDlUPIpAJRtGZDA5HSxouSutOx9m7IfhkF6qkI+DLIYtkA+S2fZorWQ+y9cYDiSfTJXfjb+T6mkHAGPOfALdjjC+9xff8o+7oD4WqGOOPxxg/FGP8UDGafs03da18+DbVWJq6w5CaiSNrzGQi6fub7AuXPd9CfHDz2eGuNymk6nng6w3sIdmT9+ONoNQO+gJa1+vsutSWPNBR0EWo76f3UiRZaS0JFG+wfcxljwlwZzXDpZuXDSv1chcd5+tTVt1wWlobsZMe5wJF3ctgzspRXK959ehsZvQB3O+m9MFl7cL9akFpPfe6KcfdmLP1nHP1KbvVKtfnW+WanXLN/W6KJUr7DsNxN846h09N7mJN4I0bZ2DkMS7QrkraeYW1gb6VcgASVThJiJWTjjP1gnOjU643O5navF/K1+61M2ZFwzqKvBrIZ6WYkK6ZfpQ276kagcbs0pxr+i5mS3ETEm9klMrPfujnKyitz1wxnHY2OA4p7pT1BlJWUDQxHwRKMtPsQLsUGsh0bfejVBrUg0OWGteWC7IhyjdyvZVM4NuB/9QY8wbwU8BHjDH/GLhljLkIkP5/O33/VeCxjddfAq5/Y7cplygBK8iT0u9Uf7kmZnBPT2YZCNqoD0ndgmQSqhJP1iuhZ2DmaU2oxBEFJNVnvlzobAK5daPz4Ur/jVYebLF60PFXGWB5MMgNC00zgJA8C0THMAmPBAEHX71xwCKIlNjV9S5j1+Gj4V47y2agRdVTjUW1x9rI8mSEcxG/lg+iO+g4PJ7yy195jtJ63rd1lcr2dFGETNtQcGO9Lah/Mhd1pLIjOCrbs5XIO8fdiON2RBMK7rYzbq622K+WBAy75Yrjfsy/fe0FQuuEHtxZaQMCziWb8Qhd5+g7R7usoJeJwmcnsqzKRI+euUYUhY1n7FrWocQRuddMKZeRZs/mlp8JMafwrhGRWhIdFwWZi2HGIJQmTYiS1Z8UE9LTuj4JOZuMxmTlqmIdxXLODWWD0tH1EFCZvMH1aMMoxCD3FIe1rZoBrpO1qBmIcmT6yTAP841cXzMIxBh/KMZ4Kcb4JAL4/bsY4/cDHwd+IH3bDwAfS3/+OPBRY0xtjHkKeA741Dd8pwwtk9wmGQ1oqUwX6vy/nuiyEDRC65BHP5H30dMbBvAmEztSduCyZzy5fSjlhaTpenIPoFOShVKMIrHUomOwjIpkPzklDQG5htQedKiGwKEgVDQQ79Uc9lPGtqVOG2PR1xkoLJ0w8PquoFmXGBuoJsJqsUcFbqejGMvqC4c1v33zcV5bHdAHRx8cc1+LTmFwmVuwU6y410nGVibvw7vNLGUDDXvVSjoURM7US3w0VLbnpK/55194H+2tCXQWVwTc2DOZNriRJ0bpDhANoZNWIVY22YeeuMJxP+FuM6OLFkfgxnpHSpBERw7RsF/M+dLNc7LxlpvCM0P7LdqhFbwpQS+yb+I94NYx4wR5HaVN3G4p0cuk0i7QTcknuHYVFIfIFPFiAJul9ZvmS0wCGtOwUrQbalWpFFEOgmYA2XVrLe9VLAdc7BvaV9/Aa38E+IvGmC8DfzH9nRjjy8BPA58H/g3wd2KMfwy3+iCIQxyYVzBMGfokFjGoAW1Qcts0kZf4AQoY9iMe2GhqDKlCkkAmDrl2aDfqAvOjxCNYxcwM2+R46/uW85izh5h6ztV8sLpSmrHiC5tip7ntacC2hi8uLnCr2ebWeoujbsK0aDhKVOLOO5Hn6sXdR1R7DM31KfbCGmPE4CMCZrvl/q1trq+2ZW6gXHPajTjtR+xWq2wrJqdvoI8u+RqUFNZTGE/jxVfg9nqW6MOyI9pQ8NtXnsSflrLSbMQ6afst5zVVLXms91L32DLglwXVqMOMPPvVUkhQXc2ZciFzAuWaLjpq03NjvcPMNdzpt+hujSWwVgIei4aj9NAz9bfYmDxN3A2l3YoICIOlVyLnuG54pm49pOv9yKbDSA1jSUIwMZeOoUhOTuXQGtRgpMNhOvGqnBbFqVQnwG5mEhsHlQKUylH4Rq6HEhqNMf4K8Cvpz/eA7/wPfN8PAz/8Dd7bH7o2N0i0G0adbfpzSs3LhJZGKwKWJpKsttIHntRYNo01stKwnraW7FFAFLVixRaabZNVhooViQ4qwac+iQORSYc/El3ZtibJmEl6pzLpmmEocGUDBEMWRlHDEpdIJLGUutiaiDWBLxyfZ9FWLNuSGA2rVUXwhq2dFeumJLQOv64oz4mZR9cKo5BCGHvzZsJnvvI4Z9655KA6HchHnfgcHnVjnBkx7yuciUyTskofHG2qs3w07FWrDNx95fgs16+ckV+kChSTVlJ/E7E2Mpq0OBdYzEeExlHNWsbjFl/1rI5H1FsNl+pDXl+dZa9eMvc1K19yqZpzp90C4Hx9QhMKJrZletVBHCzgtH3sVhESPmQ2nnVMbT99nuViYHUquCg6EENW10/I5K5umsxtks+A8ULY0TUjOI7JgLBmdjrnknUjk3CJJ23qtPF9PXTC1M8iamnSpc0fHxS8+XqvhwoCb4dLlX+yhHOK0uUi5t696LENswWukb/bPtXjKWWTCa4E/K2G4EA6yTcdXdqpyaWBTZF7Uw5MdenVTUhbjmWSmgoJMVa1IW0pKh6glyrZagtSJhCl9uxmhupmwDY2Df2MmBUtT87u5xn7o27Ca6dnePOzF+kmybMPsFPhz64XFfUkCZE4QentyBOWBb9+5Wk++vxLWeEHxK/g9cUZJoWUHmPXMnYdd5tZBumaUHDaj3hjvs/Nky3md6aYtcVEA3sttgiiHByh7wqMDcSUnYTWYStPUXjatqBrZEnubS059jL0dNKPWPQ15+sTlr7CptrrpB9T247DfsrkRqSbpdM6dQXKZVoTSUREGaCmlZZr0Uhgz7RzxWYK5Rok3cnE3tM5AcWajE8bMZGB+sQI1GeY4fC0XoyqBsXBOk9LzXIeMzjtKwlK3VQ2frQmZ5MwHCh/bHvqj+2d/oSuPDSUTkodxVVOPwjAk3uvbPR13bCp7cZDq+ZxAAA1E1AgMZ0WOk2oTEJN8dQmTV+LSQowcWCbKSkomuRfuKlU3A86iDru6msy+UQxAnkjubfqWGy/uuiYuia7DDVBWHvftHedaKG5Im00W3mKyjMdt8RgWJ/Uom3vLX3vGI1b7KSnXRd87uQRztZzMSqJwvffKdfsliv2qwV9dNxtZkyLJrsfvXT3MX71led49csXmd+dQhmwZ1rGl06pRpJfy5SgxdhA8I6i9FgbGW+vMS7S9w7vbS57zk/mrHzJUeImnK3nNKFgr1hSWM/l9T5H3Zhz1SnXml3KVaBcDIfCpriMkslCIdJfCgYGZ/Kk6SYleBjcGbIAbQ+aINwQyTrNA6WhclA6dR7aWEMqQKLZhnJJlLaswjZ6smuGoeKkm8Nz2h7/egeGvvr6UxcEIKHtGyiDtmz0JN8E97Tnq605l0Z/Na2S7ECQeE33TVDrpwcpnUox1UitASgm3oGe/u22UIyjIZOCxEIsCU/EQbl4c1Is1//pZ9o+acunWtD2kWbbMr4Vud1upzq5YL9apBahpU/9+fLSgmJlcC4wHrf0reP4aMJ4q6GctgRvMCbSd47VXKy/Qm/53PVHxFOwn/Do6Iixa3nf1pvslUv6YDnpRnTRUtueX7v+NJ94+Zu4fvkMce2YHCxwkx7jIlXdYW2k74QFGLxJgccRAxgjSkKr01qgDiN2ZDI8BNvViu1izcqXPD6+z91G2oGl7emD46ASrcW9YsHv3Hk81ddkkE0nBF2TWn1uGNPWNNyPEoV7EYd1EgeCmHYFohtq86+WlAPtCAwbPA8Ebay/UJIzErV6q05jdp2y/bAeMu6QcAntFnTJBBV4QLb8G73+VAaBfpTq6HrY3KFIvfc0RDI6kk1cJm6BcrpljHh4YEoecV3MWMIw/y2ovmrGbUbhbjzYniuNNGsNrgdwUefVH6gtx4IpmDhkHcaTp980wKg2obagFCgsl5GXjy8KWcj2bLk1Phq2izVj1zEtGj7y1Jfpn1hTvzRltaqoxx2uDDSrkr4tspQXQDmS48yWge72mH/6+x/g5eOLdNGxXay52u5xp92ii44XZjcB+NiX3sPh/RlF5YX8M/IYgygGF4G2LVicjATwG3mMi4Rg2N5aUtY9bVvQrEom22uMDZnhSAQ3FhGSG+sd+miZe8kEuuC4vDrLdrHifjflXbMbLEPFzet7YIQTYjzZHFZaqsP7qq9E0URWZ/RIJrkPSSBodqwEfHUYHps8Saqin6YfiGW5/99EqsVADoONtblBG9Y1FMrkcmyHwaP6JOTWpHoebE4YlsvBJFUVrP44rj+VQUCzgEyqYYjKquLTTpOJw3gwGykS66tcJKHSMKTlfW1yn14FI7qJKskM/nNaw+s99ElSLGvKK6iYShDiptApmfapklDaw1alom4ykEzk55n8deUn9GPDF159lB234qQXgZFZmrJTUc/z1Qnf/Y4vsHzfivHvTeh7m0tU6yIhWLquYDxuGdUdVd1TVj3F2TVxUfCFL13iF994B68uDthxK85XJ2wXa371znP8+688Q3dcp/6+nN6uCKyWFeNxSwR847CFyIiPxjJkMRq3rJqKvisIncUWgaaRHWJSzROj4bGDQ1a+Yuw6HhsfZkESj8WawI1mh+cnN7nW7DKxLfW1MoNtGjyNTy22KEFZDwrbDXW+UsF9wgpcF6mPg6har2I+ZDI3xQnwq4Nh/SSBdk64J7m8XDy4Jjc1CvQ+dKZEA4xmAoNLlY7Dx+xVofMumhn8cV1/6oBBvTT1y+0CyNTLB2YKvIo/xMFYMphs5GD+3/a+NdbSszrvWd9l385lzoxnbA+2AUPNvQkgciFUNAm5Nw1R1VRUaoSqVEgVqlr1RwWKVKk/+NH+iBpFSqr0JnpJKUpLgtKKJIU2NGoSYxJIAONgc4kdG9vjmTm3fflub3+s9az1nokNYzxzjmdmv5J1zhzvc/a39/7e9a71rOd5Vg90HEFtq+igY7GsVqNIhOlku6kgYdUlTC4rukw0Otd56zUKJpfVAz9Zmlk1Sa3SR6ZGrCPLqG0ISrVKGHo1NamWKXrHE72pzzxQofiewacNv3bz63hytY2NauXp/E41x9te+QgemLwU8uAWxnPB/KUdxrctjEdQYrWoMd1YYbUcod+r9T0dD0BboPnaJh742qtw/233ohz1GHrBMDfa77TT07YYABTolpWahLQV6rrHeNxiOR9hkALzvRpFrQrBviuQBmC6uUJnOAHXsFdjevsc52d7ODM6xBPLbWxXC1zuZxjBshVJeOn0Iv58dRqb5QoH/QSzJ2BAbnJUnact+/IsDdqZoJ+KTl0eAeVK3+vVqcLG1+mINSAyCqr2OjGSzljJRmULb0vWh1Z2WKtPfz85aMgNTANUAM4x4emet5OPBAZrY9K1ioDytVo3bBCgWowz/mgmoUYMGomHWj9gZfNRXGJEIQOInHtgXQH2djs7WaqlRmNOKK4WCePL+m/OimPKN95NgQP0gBj+sNqO0VZDnWEKB/ABn7yediLOVJMhoZrHaVS0kaZOLwx48PA8duoFDvuRcf1XNpSjwm47RVNWeM3Gkzhz7xz/o3kD5qsSxeUa6aFNpGlCvzGgvlRifqbSFtepxgG71aJGXxWQZYk0L9HvVUjTAaOdFbqmxGxTjUDHdQfZWGJvfwYR/b3Ua3aQugJV2aGoBownLVaLGkNbYvP0HH1foGtKFGWCCLBa1sB4wO3bBzg/2UU3FLiw3MQd4308tdzEy2YX8XSziXtnz2A51LjYbOA1m09gv5+YG/WA1U55xKyVG8V9HnrtCnAOBVuzRRc/Uwqx0b9NGzC5OGC1U/ipTTUoyWBsCZYrbQEvTxcoM3sysZJvGNg61uvhAQAJrEqBSrt/i/CpTAUAyxCrVUJ6Vnb+t7ZuyHIAyDoErX64TJO1xAAAIABJREFUTMcrY1N14zAd4UbjB0CBiadkNvaJTi5DKRiZNbT0ekowvW+2VLDRj7KUrlH2FvkB6k+n19BN7G+1BkSZ8otBhNp0ngbVQn9XOxzhnIwEczMOr7rf/cibcH50GafqhW/8RV9jv53gpdOL2KnmeGx1Gt1Q4ofvexB//S//MW5/zdMYXrlAf6pHsdWivbNFvbMEtlqIqOowJaAwZl9xZoViq0WaDsAA9F0JKYCuK1UCXCTs7m2gW1bo2lK7AYB7GdSjDqUNGB1NOmzsLDA/GGN5OMJkpqVDVal4CAm4c2MPd453sRhGODvRjgBdil86veRKxjOjQ8z7MT516WUo7SQvm+RtuG4qrhWoVsnt5Dl8hql6YXyBkoNnqqi348QuPNOgwlODQXIKeDvTADCYQ3DRBapf2MSsIb9nVvChpkmA5Y52KniI0IoOgLcdeb3XghuQrxs2CABweq1uNnL7NR0jeirJZg+sssg9xEyCamUjy7O0rR/r6U1Q0OfRWx1ZmFfdaC/YWgQWaXNODXrRKdg0VIL6IDm4BESbpx+ZkszGqeuQC/aq4bqBfiyoDrUeHSrBuc+0+IU//D68fHIB46LDqXqBadlip57joBsfmTN42I/QpRLvOP+n+IlX/zG+47VfxmjcoZx06FYVkIDxpNGhH4Ng6Ar0hxX6Qy0R6s0G5WaH/qDC1uYCVdWjqgYsmhr9XH9frBtQjXt1CSqT+gQsKyz2JkhJgwwAzLbUymloCywOx1juj4GuwCtmF/Dnq9O43EzduRgANiptiXapdEbiveOn8IXPvsw3L/v9/Vjba0mi28MUf6hwBJHPLcBpSEN26FBr/74zn4hmS8I4xCzH9KQO23KqWulEDcRYMdLeC8MrcnISnY/CbVrvMwKa7WZQkK/1umHLASCrnVbhsUb9eDKsoBtbLZ/VUP3IkOQuAgnBmHqeIu1LCdXSWn+In1Gk1I8VKGqn4qCOqtbshiv0lBjt2alhteRqW33xaZDSbgrq/aj5vD60a9WBFGaOUgBiZcH89gp3/1fBzx/+EP7md34Kr51cwP+9dB9eMbtgrsJbSusdKpwf72Kvmyr3vuxwdnyIn371/bjUzXBoWoHb6kMvKy6sNvHVgzN49OnTaOc1MIaq+yaCvb0pyrrHeKz033JDh4oWRYIUA/quxGjcYXkwQlPpJGGImoh2bQkpEuYHYxSlUoWrSicPT3ZafGHvPF4y28VG1ViLcISLzQznJ3sAgDP1IZ5uNrFdLfFkdwqnPy9IRRBtAPN0FE3px7vG9EyxsZnO0wKuPtDanWVcP8oUo+NwJuIh4Sam7BbZvUVxkLSaQXaT6CxcKVUnqY1qV/oIkmtQNkkPoIWWuaNF3FfXet3QmQAQ4iG+mTQRKXr1lnMxiQSGWHTwWpuswNFBcnMIar6TiA9DpYsL7cA4IZmMs/GuPq63jGJ0MOgG3xBrDYWslGowgj+Ti4NbYZWtOc8YiAgoPZVlQ2mW55y9uDhb4mUfTfjYh96K3W6Gt+08goN+jN1u6idmN5TY66Yu6z1TH+JMfYjHVzs4zHpNe90E46LFIwdn8cxqA+emB/iBv/QQ3vbah1WLMBSYba0wmnSYTlpTK+oEYSnU0qw3hmLXljo9qEgYz1qMTdFYW9pfVgNObR+iKAasDsY6f6DssVmrDfqTS21JtqnAYNyHEgNmRYNSEu6o9/A7F15lY7qSqz5Z3smgffj57YViBH183kUfyD8QmgK2ZJnuA5HOM3gUndHS7fko8R1qa0s3GjC6qVgH6mgJkIxMxvKOgCVgeNHEDiYrSeku1WYDbq/1uqEzASB7A7OoTD232zX3WYsmBZlIjKONBMzPFRjtBZhDlRdnyjNFLDpSjTVrUFKJjjLj9BsAODhfequpMefaaknWYkKZNFARuxADofpawl2YclITQNGCvD5M1qHQ/7d/d4Xtr/T4tZ/7fpz+6Ufxt++6H3+6uNPdiM9Pdm0GQItL7QwX2w3cNbmsU4rNSGSvm+CgV3nyKzcvYFK0OFUucKqc41898nakp8fY/FqhWMdOQpeA7kyHM+d3UQiwaGoMow5nNue4dDjFcjFC6gXLZqTuQYW2EdMgihFIwu7+DP2qRDlRs5NXn30KO/UCT622sDOaY9+ISdu1koZuG+lI8g370B/+5MtxqtYR9aN9PTlZa48OEg7OFz72i9Jxpu20qKNORIbI6pKRhFqjivcjweRydA3UGjw5nZudJxLBSlOVNpuaRQwjAIOxTgttJZYt4t6wFjFxhKEEhokClm46avqRdB2SgRs+COSsLAJoBIAYuT0VT5qi14vgbtPbjRtazSiSDZkQtzTX2QEAoB2Hdibub1DbgJTFmcKfc7ybvMQY7yY3M+X/bzaB1IurGXkjApoWji8n7ySUq6hvm039e6P95B6I1VJxh2qZsP+v78YH3nwP/sYP/h7umz6J+TDCbjfDYhi5L9/t433sdSoOWvQ1NmWFIRU4NzrArGiwShUeOrgDn/+112Dr0QFlCdzZAsvTmomc/tKAJECzWaFenEF9OGBS6ZDXx9+0gXtf+wTms1qHkS7HrmIcBkHXlUi9BoJCElKlTMXRrMVWtTJL9BW6VGBattgqeuy3EwyW79dFjzE6/NnqDEaXBX2tFlyc3sTPe35Wg7p3BUZiJiBhR8/sMZX6eS1Pa4k4OkhY7Wig6Exj0E4l7qVaUC+Avoi0ncKiso00Xk1ExYVA3UQ8kyMDNXceVmt6gRRmiW73Lb0HrhVD8Mp1wwcBAK68c6mtzZjnpm43QslVWh+eN4cM4qIisSChqjKr/8wIQga4eKndEaf0qiEkXFGYAzdqd02bqGCSEWHmSQPA686y0YDRbIo70Xp2AgMJk2YFo0N7frY5C/3+3KcTPvlH343l6QIbP/F1/OD5L+Jlk2fQpwJfW57BxUZ9AQoZUEpCIQm3jQ7w+uljeLrbxi/86o9j+xFgCj2pupl54C80O1qeLnQoywCdsjuOrshdnwDa/3Un+p0Syw3B/hs6bNx5iLIcsFqOFTsoE9p5jXpDtQxpXuG77nsYhQzoUoV2KHyE2ZOrLWxXK4wLtTIvJGG/m+CBp+7B+DLLN/2MVCJuLTrzfRSjhQN6gg/2WRd9QjMVf8xyp/AZFYtzBep9wxkMVKSpLDkGzQZnF8oRy/LVKQ3g/UiQDMXPZ10AmhmMLhlBrdZTvtkU1L046Ehl6pVjz6/HuimCAHupRa8ADzciZ7XJYLPmoJJXsgKLNk5gSdprbqeazhNtdqOPPkqNeqGMRPaU6WQcjjDJpiZb7iYBLOXCj/owhcX5kJBMQOKkpJneaKM9G1phhKXBzDJWNvuAr0ds8Cn1DZPLA4pfOov/uf1X8cwbE975vffjDRuPo4eglh673Qxn632MpMMnLr0G/+H3vwfnP1FicztS5G4qKJqEej/eCyRgfEmfy2XXI90Q3US88zJ9JmHrN4HV9jae+t4W01NLjOsO+wdTTE8ttW/+zAj1XXO8fvMJPDy/XZ2Mx5ew209xuZ3i3OgAgFqfnR/v4lS1wL3jp/E7v/tm7BwMnkXVB+oqRC4HNR9UAzIQFGYsy0DPcpACsNWOdmCqpZ7oeYpOTwi1ntfXydKSKH61MCUpuQRDZBscdSY9fLArgBhjjsB7uomgMi7MtTAO+UbrpggCgL7JnU2TzU0aktFy6TtI7n59GEg85Z3ttPCoS8UWEDUZeq396R/IupE3AE0n3MQ0V5F1vAZx52T+HNBNS46DJL22cgl0dirQd4D0VtqSsWatbVAmdRVJNFgcnC9RtMCdv5fwqU++Bb9ze4mDe4DhVYfY2Vpga7zCo5+6C1tfBV5yKbn/wVDrwTV9ZnC5NUsfpsTthp5W9WFyhJ0iKcp2y6ZE0QEv+ViJVGziwrcL+nMdtk/v49L+DDi3wt9/wyfx5cU5jIsOl9spHscODvsRKtHpQ8u+xqs2n8JeN8Grpl/Hbzz9bTj7Jx0OXlKinqsJ5/K0OgPR3dmVl4DLdUf7pt2v9TPspmE9VxqprN7XtrFmj8lLTL0PxBWI1WpQULiNLDKlwKAGytIJ7h6GExWzUlrM0eZsqCx7NF0KA64Ck9enMwDcREGAm7mdxulLYE2SpW9luBHRrDSV7Ntbf76GtuFsc44ONfLTq17bdwki9jPzDuBzAmZJVkcK6bjFEOAkF2fTO7fdXITY1qwPkpNIGHzIK1dDVCrPxIVG7JYMEjf58lShhhsr4OxnB8hnpuhHMzSrhHPVgOXpAsud6KuXS7jDMn3sxruDbnTDV8olkCpDzpM42FotkrkF6evTdl2Boku4/dMD+nGJoTyH+i7B3T/wGD5x4TW4Y7KPt536Eh5cvAQl1E+wG0ocdiN8z+lH8ESzg9vqQ9TS4yv/8T5MJ4M7Pa229LNAZbp8W/1EN1yzKZg93aPZ0tZsZy1DelCwrCuzk5m8jLLRCdMw3KgfSwSMeegTqBIkBySfdcAAzjmWpBWnUgwYVNxpqKHzF7N7SdWl1y8AADdREADIEdBNCANTuMG5gZW7rSeycs2DDJTEakQTJg2VYLWlp6yqBZOfBnQHbioFjsj4G0b6HCpAiZoznzOXxKifScy+Kvzye5s45O40VudXS1iXIWG8x4xCfz+Vog66WR+ZJQU7gA58QnkKdE6qFsm7H6kyeetEqaup0Juf47TolEQeA70UlISl7jq8aamozLsxgKBoxZ9387EBe79yFy5OBF+8J+HBN92BN599FEMqMC0b3D7ex53jXXx5cQ6FJPytnfvxgUf/GiaXBvUDPKPXVPRAYS1TCrWGCg7CTS4PyihcGZV8QTKWXsdyJ+zgoZepvfwl3JSEjs80DIWowGx0YP4E1olyrgfgI/IcrxlBm/KmDuxm8AG6nDtBCTmv43qXAsBNFgQAS+usleN2Ul1shr7U1gtgETmFeou/oxNrBbStJsOs29ZNPd7V7GC1padHbh1Vtto3bjYLjPcG/fAnGggoDOomEs7DEx2JNowzOzPRU6xoNLDUNnuAdtrtTDzboK2a01SNpdiP9FpofAnEaxL9M5hdGDRzEngwXJ3Sv9ex3dWEXoHzGwlE0m+xng9YbRfmkBM4DK3g+7GgtPkP6uSc0G4J+iYArzt/v0e6/xz+sDyHajFgebrE6EDfv3Ix4ODuCv+v+Q5sPdZg+coCwzkxdWek8+04S6N5PzTBwmw39fo4NZqBUEFfzaBYJtI2jhnZgPAroF6F9wYPHnabSFXm4FFSjCUJ0Mdjq7kosU2s5VjGyPF8gMn1Xjc8WejKpfbcIe3NKaW0gOZ/eSpOeSigJwCnwfppZ6SOchXoPkG4biJmbpmcr0C3Iz0howToJuKBpuj0uZptcRCLdWB9mHwTsRXJ10QfA4JV0itARfaj9Jnq0IAvDi4hkaZaRYlExxwSbDi2jV56DDTaqYA7J/dj/d12WvjJT7ozADfILJfKdKREWrUWKuem4ef8bIn9e0okAeZnK5XmTgqstgoc3FVh8887zJ7uML+jxuSyUrSnF/VNLdowliF4STWnvucZ48+vLTl1uJ6rWUs1V2qwGnwmlyPTEIYbdLQfGz5fKhkn69CcgY0qDMAnFLNj5TqWaWAC5ITQiPY41k0XBLg4HCQce5JH/aHS/88WXDi/IoZ9WA1fGL3Ta7aapYKh8Q170dFGrCzSq2NN2F7TOJQBhVjB5NLgOARPks7JSMlvnJhZpykkyS6uVrPJtKxBkczZ1k72dqMIC3PAhljoQAyCVX1t4pUypK6j/SAvSYrNHWPXLLWQIMakQt9/MjYBvbGrBZzwwtq7XGgwmD01GKia0JwSNBvi2E6zVeKZ19WoFlq/cyIQ1X+eNqfoCil7NAhlTPmZ8VQr/fxX2wUmlwd0U+3E5OIesZqehLPK1IFlo6xBAsTdNNp7Q6Ubv58Y+Ejw9oCgNTECZOPn4vrpMXFc66YMAqnQlL3o4DPpuomdepba1vPkY8XIEKNwh9ZgPNV8Euz86MQYpQLbKV5S/QXfREo4CtYfFWfc6LSUHkolpvAG01anbkgdcKGblTwCuh4hMWiRcGRKxKVZo1V24tTRNistgNEt6ciMOzB7Ctvs3vzy/ORLCMurrLPBzV40sQkrM/PweXu5Nx7xL4pnjDRF/4T6IGGyOxiNN2F5RrD9td4GhJgRiL3HPjrMVJi9SYm7qab1A7n6Npq82RTMLgzgmLlqqT+bmEQcsKyG94qBjXp/6GtdbWsnieUDA2OebXCgKbtHdA7uzeeA96qyGOGf55UlzfVeN2UQAOB2YC7XtPquWjBtFq8lOXXIU/l5jJciF73o4FTkapXcwKLoUvT/LevgAEwAPpiCtlckDlFIwtmJdCKeXB5c9DR4EBKfjgPA0GQDP61GZQ0eeIMFFp/ILG5nVi2VccgRWwT5SLseKnEBU72fgtLaxk1NN+TBOhejA63PeUdJF0q5wbKPVBhfQ7QMou9/syU6Cbg3SbYRsJqNwgd+VAsLYHb6A4FxKIU3Ng5T7PFl1WRU82S1vDgBp9ksHBwksYhpO0srbt5mW/xk56adXB48O+Tv0PylXNq8ASOH9aPolHhWMeh9VxoZCEAYkWbdo+NYN20QYEpFxLia2wlWRt1cH2qaTBFR0enGo5oMsBvKAgSAyCoKeseLexgWRh3tple4HdeRJkYNro9FEWk4MwY6G7O9xpOXMmluVA68rGzoiU9aqnSzHSE8SWjSGRQU9Q68hB4NVFXmoiwGuHYj1HiduSOR+qy199GR6qRLV3wuOx3bTTgIOrk0YOuxHpK0vFrtFO4AXfAEXyWstkpvkbYb5vM/irYqX1fRZ6UYMw4rlUj4yidHddMYLMs5leRFUCiUqgiABPuKNnmdX881IyCGROkwsYSi0XYzLc4oNeY9SVWh09+Pcd28QQARtZnakzcAmBpQgkFGiWi5Qri5kDhkQJre+JHWFnSgkWCVkfxBlmB9kNzV2NuURfSXc1poz66ELTom5WPO6JeoYGCAS/VhuChzqGZhGngCWHxu1rH5ple0X4kyDCYwMJImHHRaosUZpbW8dl4HENhHtdCMQ92VWR/r/59cHlxfcXBniX6k3Y7JxcFIParG7Eec12g1/ClN3YmbUOTF8V5DBS9bSKyiDDcJsLyt8ENB276RrnvGVMAHzMgAjC+rKlWJQuEbwTkHjdnQccwZeRzkMpABWi006MzPFR58aVRLPOC411UFARH5qoj8iYh8RkQesJ+dEZHfFpEv2dfT2ePfLyIPi8hDIvLD1+vir2axFCCjLveb66Zw4xDqAngC0p+Ov9/XZgnWBgrPSbfs/fP5uOgu69RkKwsA4xNIPB9gRid9tJboWDTUiLanqeB0ug0cxNLBK8lKl+TgXLmCm5+stsPbvq8Fo329WLIOKYMm6g/jPfS14gY+nAXxeih0YTuLI+C6KTy4lSvFaNzYxa5tfraw15CsnGBarmzEya6qMrmRi15pvWrLFYHVJze1kU7342j3pdKCuGVi1Vxdnup59OfZTSDLc7Sv2QLdiZptUX4G7xdjCpKWzNfO9mmuSATsvSvhprTTCxEAfTjJMZcBXM8nE/i+lNIbU0pvsX+/D8DHU0r3Afi4/Rsi8jro4NLXA/gRAL8oIuWz/cHjWtWShqGZa3Cm2qsPUow3s6/VwrTis8gOyD+nT0HZZrxvu+HZtmMW0VnvX81I4L1tzqrLUeB+bJvzIDkewNZbYbTn3CaNz8tuhN7kullcQ2BpOzdLtUrOZV9tF/47/H9DTW8F+DRcnvBOLBrihHQmo2UKRaOPdWDWuA2NcSxWp8SYeHAT2GZbS5t2qqBgNwMmF4MaPZRaUrRTweSSdnlWOwWKXjUAZXN099Dso92MIbUcWcclhvG4b0OWEaXCZNtL3fB8PFvDHmwQ5V+5gpvUAEpjJn+AKT87D9o5ievuJxlB6ATWCykH3gngg/b9BwH8ZPbzD6WUVimlrwB4GMB3voDnecHLBUAS8l+6+igXIAwcy0Y/sHZm7bG9BBvG6yUAa2J1iNEAoj51BKwCrNP6UH+fHQXAAEirw90m24ISpdCFcQ+40XwsWooNmDLsgDdWX4v3xf2kJGHIsACWOLS66ie6QVfbBZZnCst+rLsw0q/tTFNgnrysfxdnxMuibqoZR7OhP+v43i7i83CBjxhxpssAXIFLb5enA0TVa9Usp50p94CU3+jJJy+beKLX88F9Bpptca4IA56TxGzz8/Mg0MrNyc/WreIR2Ele0vFnxFuY3hedZjE+KyNZO7bGEZu6k1hXGwQSgN8SkU+LyHvsZ3eklJ4AAPt6u/38LgCPZr/7mP3syBKR94jIAyLyQLc8/Nau/nksIsY+tnwRJ6KDRZOYD8B0kOwx8r7ZTisN4CK/HEOAUgT9ciMTmpA61mA2ZdxM+eLGLhsbmd1mSrQ2al4yFVMRUl6WF3mW4M46dq+1m3wsHZVtUrMpIEe7yQMXfe6pzSA/AJZ2d9NgDhINJ3PRf8dWbqs1jOBiKwbKZOlx2arxZn2gGVBvpq19rUGK7bWc0zDeH1wzkZOGukmoBetD0rLtpF9FTz+/Nzpz98k7Qx0/Z/u7qYIHHoLPZCISU0IClqcLkCbM+6KfMINKfg+d5LraIPC2lNKbAfwogPeKyNu/wWOf7RX9hVCXUvrllNJbUkpvqSYbV3kZL2zxZu25cYZoN7FLEA6z4oy2VMLVgu49l7H7eBK5l0CODxj6r4YRUXc6lxxwh1wgADmeFESYla2YfHMBmknAQDllHMamyG3MgQg0bFW6kUlK3sKjRwINTsHe+xwuqCqXyYUx1SI5AYcZUn6zF23WIrWZezxFWQp4BiTG6DSAUolIA1anxMFGb7WaM/Tksr4R9WHC4oyCfWy/9aOQ/Q7lUWQ/WaCn1XfJ7I4moUPU+nz/ZCBz0kDkIQKFt5QHYkl6vY15C+RgKAO4uhwHcesk11VdQkrpcfv6FICPQNP7J0XkPADY16fs4Y8BuCf79bsBPH6tLviFLo5zInrbbNlwh8GIHBP9OS3KmH7n9XCzJT73ALDToIKz2Lgi4tumEz3ZQv9PIktQVCldZbmRCra7rHZugdGh9r/bmdiNHCervkg4L95Bpyt62nwvco4DAUJmG/k037JN7qkQJikxMNXB0Yx0RPpzLslmUGXqP9q3gDKHg3g0fWm2Cguake67oYqVAdoKFWtBBslKT38L5Ffc5dJFRsa2ntfnIw2S1Ty5fqLdgMuTyXJ0ElQhWG2HHwBlwQA0oxobGcwo2MyOcl7DSa9vehkisiEiW/wewA8B+ByAjwJ4tz3s3QB+3b7/KIB3ichYRO4FcB+A+6/1hb+QRSovby4Ca93EXGO24kR1N2IjxfQ13JkG+f9j6ml1frVSIE2Za/q8fA7erEVnlFzWtI2BjgawkTLbGpGGJ0mzUfip6cq5JtJg1pzEKghksdYmuYbgGckyeVrLv83TuxublXqKjgZPwqJNUVtbEOjHcBNYrZUNCzGgTgY9kduZ+MBQbsxuRnaedV/sc+BnwJHh3k40WjizBv6t0UFyGbQzNyv9j9egeEXMJGDvntoRpZcjm3EBL/n6kaA5JQ7uMlCxRZiXZZQ1U9Nx3ISgb7SuRkV4B4CPiHrcVQB+JaX0MRH5FIAPi8jPAPgzAD8FACmlz4vIhwF8AUAH4L0ppWMQRF794oejrS3R+tNgCbbiAEZt68eP4mRkP3l0aDLUpY4Mg92oRYOj/gOZQxGJNQSThjIGmjKN5kmpvX6VCBeLhK4STHbVTccJQIt4Tc5rMNs0dRjSDIVtrX4MYAj2oKLV4huLdbGPebObmThKnsXIYBt2z3ruHZw7kD8uxydUty8OqPl8PtJmBwXK6LDUbgpyZ19A02hJSjLiZKB2Rks48TKoH+nmI+13yDI7KjpTqw5RdIdi2UBxFcE+grecHSAJ6CvTPRB4LjTosX3YG5EqSXRZHFM5WRjgyPqmQSCl9GUA3/4sP38GwDue43c+AOADL/jqruPSSK2ncj3X0wgD3BiClE5PRa3NxKjfjyPtdD15xjPwNlrGPKSzEE85st2KNiGZlLdEtCKZRqtjkd74zUZx5JQhaSissqPGpwnpUOl1EpEfyiBPSWuON+NI7SUlQIJuTW6/D8cQAQwF97HeA0HEDB9J2cmHwEh8wk8D9ObVTzfedkOQGg1y02d6LM6UqM2VV9V+2q9vtgStWOdhntCPCrOHE8AMXYZSAgyUACwxKJ7CFmE70wyQvhDEVDTwsQSya+4TWlON0raM2hMajjIQphLqNiQRDF6M9LwX4SUd/2LbhwAV02P60OeWZKxpyxX03bMTntxxbw0O8fe4mUhLlSHZkFQY91/bdhQukROgOAHNTOJ0refWyrTNVfSGYZihycDgI1pe5BN2kugGIOmJzEkgCEykMAPx2pS6bG5KtrkBvWZ3MrLn1lOTY+AQFGLjTJRLuCVXfQjHGtToJYLO4rbS379qmTyodWNR30Wjg7cbqrlQizb9DOrF4BkbEF0SVzRa14YAortSCRzfcQJUCfdmWJ0yALKL6VSpCNtznzWIKN8cL8iIZC+mdcsHAbbujoiAKrMab2ITKLCmaaPPscuMNmGbh38HYCqsrUWi6zq5SMxHMPj81P3rlNtMu2DPV/TWjmsDzCrsmgjQEbWn8tH5BU043qTCCE6WFjOzKdsYfuqqx4m+Lt7EQxUApJ/mbVxjN4X7DPhmM4aeKhvhXAIqEotOWY6Ty8nFVORlsJRRboe+zvpw8HYupwZDAqRMhYKBqy39EJgB9PSfFGC8N+g8SU7+mWr2w/Ivl/vqexN07frATvwhpk1Jr4zI1U5YhTkuYYzSoYzM7sW2bvkg4M7DXQqyip3AakSpdwIBn9pbfck3vzPOSrZ+4pTpxvQHTEH0MaCtMsILEH8DyEA91suklkoEnbLBEYUigarUyCDbAAAYiElEQVR+cnTCEVPz5ekAQdWpCN7tKFrOY9THdlO9zmoB5T9YZlGZkSdNU3iyqd8+UXVYcAk7rnZTQbzK2osULen0HqU8NxtaYnDKEjd3s0UjEvt7EsYdMugQltFe8pZeN4XLgBnInKsxVk3/8nShykL7/JVCLkfk1MRvegtq5I0MFXwyELOtXK3azYymvCDDMxilL9Z1ywcBIEvTmBbbiedstBRpJWmquScckXY/+bP0j5sw7zcznWb97OCTufzSspqpJm80Uk4LU8RRYUc34mqh7Dsq26KWjxtb1X5BamIwYIvM21dl8P/53hDAYzbhr4e6i9FR1h43H3kQeiJyeCecxEQchh6LTMHzgZwsJSgRLzrO+tPT3UHZLmi8tDtzlt6QZX5Z9kIhmUuurX5n54BtPw9ORsxa3qYDX5hNcG6gui1baeIZz3W4ca/RWgcBW0z1qSar5ojhEEYZDbKReQvaY+m/D4SWoB9F1lCtoqbXjZm8zHAAjV2BFCeN68xZcgBuQtLOQiEH2MY0jUB9GFoIGqOEu456IRANhwDLM4VjA0ps0sdRKUgOfCrglOPBXJjqRQQP6eCYAb0PAKC34a2kILNEmlxK7ofA01SHvGrKP7IJzJNLqqWoVsk2W/IsqT5MDmoyWALwlqoMUW4Rz6nNXVjbjXEIuP5/EkxB+j5qwKLhqoGt+8nNRGlemgpzZTaPiuO0CftW1zoIZMudc4fYkExLeTLoA+2kMmkrwa9qmbwHXTYKNFFbniq9uThl2A06GDw45aiFg2v5yau0Z/E62icqGQ6Q4xN9HWBf0VvtOtObeKhiohAzjXpfx6z7iW03sOvda03pOwMBc3+B5Y4q/thSdO8DKyG0Xh50PsBcT9x8LgENS0b76hsIwLwILdMgYDfA5/ZppqLvRY7prHZCG0AeRseODlF6YhgDHBdJogGA72G1oBks23zG95jQqTo6LVouiJeTXuIldn6O6+791tc6CFyxyH6jzXa5ynrKZZyIALyeL9vkE4iZQbhOn/oBM9QoTGmmQSZ5CVAf4sjG6MeWVWRuweqkDJB8ohesX9iSkiF48mwTetnBHr69rmYzTn+3CU8p0wiYHn6pJ125DJNNdWnSTVsfHr3hq2V0WLoZnYJITdYARvUdGZZJxAeFknxFKS6NS9iG1IyHNUfgD5OLyqHwMgrsdAR+QSsxlj/O2rNgQDdoBmHiBX0dweFKP8DJRXVF1kxDfJrRi4UR+M3WDXKZx7s4K54uvEAAhn6DJEW9edIzZWZqyzKBtXRuVKL1f/T3iStQOUh1W35i5YSaVIjbcPHEJO8fgJNnlOuQQm1YSbQSyTPomAEZEagUlyt3E/H2XhIVHl2ZmTAjGOy9IgdCyT4hTHJwbipBjCKDz7gDqvEftGtitX5l+ggSbajhyCnL/Sjs0FIJQ+kV0d94snddCAwTYXcByHAJa1lSzizJWqalUZut88CskIFcOwGWtRg2Qv7BjbLWQeA5VtGbZVQtTmLxTdnFxGGWD67LR9ZiqwNlJliWA4WUL7PepKmm24QR3ba/VVmNXi1UOyBdAIPsDniXogsBTD2PBvVQZ4KcPiSy3Eg5r9+R81lsBlKQc+9970zYxhwbWj/UEoo666iw30+bdM90EoABR4bBcNPX8wTpE8Z7Q1xzCtUkRK27FPUPELBsgHaj8AyoWqg2hKPl2UIFEG5Algl0EzNCaeDjxmRIR0xRcqpzP9FDIFdr3ihrHQS+wWJdTBILQbLcSMRVcAa0+eyBLjZIN4FLlNk9oDw3HHHERT80ESEN1xVqZXADeJpyPPlqJ9Jtpd9GptFsFgqgzRjADKuYZOUK8Y8Er2d5k5dLc+ExMg3nLzDdTaKmnmWjz91sRErstm6eXUl0Rpjir5I/vjEjkHZq8xUNyV+dKtDOCuTah6ES78F345jwrJOD9D1sNsUtzhw0tbKOFGsn99hsSVUwhuiL5SFTfr03sgxn4JyIF4cq8PmuG/CSj3e5yMSQaZ4wvDkohwXsRrc0M5caM7VnBkAFo9JTxQ08GEzKNrnU11uPfWzKbqw0V/ISyiZ8ANmPp39/mJtqvc0amRu2nYmfrNIH45GEH5Yh3UQM00hePrAeZ3+cwBkEbr/uOgT7W8wEfKqREYSStQ6rhaX8RZzAFAORt7E8XXhJpmIuTd09A6nYbpWwlu/07zm3wcoHzqJgG7g+TM4tIGBIpSOzsrJVXEOp4HDl4o261kHgKhbTXQJmHFLCU7pcwlt+RR/gHwMIyT88+UgAki42Bm9KbjiSkyC8ySz4sIQwApFLhe25ctky+QCsd/10L5Wcw7JDGYSmayCDsLEWp8AHhgy2mVWdaMHOShCqGMm2zFuL1Au4VZidygCxhgxItddEq3SKcujJz9ZePR88mLKsII7DdiJJYCyPiHmwrud8BQBO1aavI098DqZpN7RDod2bEGf5a7lxY8A6CDyfxY3GtJ59/n6iJwI3u6fVktWnrbkVzyIY5It9boKDJAy5Es/abfpguJ0Zb3TaVrsbMcU/XbDbyAT0rANmqmGdDbLzaIJBii/bbToJSGxeQZY12Kaj8IY2Z2wtSocjFF8Khrjp2Sr1kifTceSBF4jN3G4UDq66RiMFOOrEobH4ZCeyDicXh+hYWEDgNTebQcnm0BT2+nPSFY1gX6x6gOez1kHgeS6KYoZSrBUG88iLzcrU14dvlMYN6OCTcpkGd1N4rcnUu68tvU9GWunh5CGmuUqYCRSagiLn+Y/MqKMWQ9eTk50K3xTRRSAtGGB9Hcw7mrA49RlR0xe9TklebcdkZXrwu8aih3Lze31tvSPy6cjrJoiqp2zMYWAmU5kbM5l4OjZcr53ZQiqU2dePg7cxMoehJHqNy50i5lIOMG5HnPDUOKxOic+S8BFxmcz7Rqz/n23dJC/jeBcHVnJABW+UaOHF42SI+tdTzjbaYwBAIY/3vq2dB5ACnBzh5uO1PRhAH09CbzHaKDB3xJlmrLqMXUdtO1Fyl/6SfzDSWponPMsgKutW28WR2p0WZ3xctYi2WdFF64+vgeSoMGiBd1LYPuVQV0qVWX8PtbhAR7GKFKPAy/gb7jBk5VU/EYwOBvNnBNyiTWI+pTpQ2XtgsnLvArFsuUnWOgh8iyufSc95BWSq+VgwO1VG+3pjsc3YzqCAYWN00wkcpCOQyNS9PkxYnSocxXftQAowi/gBBUo8OUlWinahXbzzBgKMZKuLZQXdiol35DMYSHFOYuWEpfP5fD0g2IMAfH6gKy3L8E3oZhJ/v4gyJ0RDBohOC92kVjLkU5tI6mLwG++q09DGU4PNkRycJTneHbA8oyKibpq1JBGBjuWHuwszK+turgAArIPAC15U5rlxpaHuuV11O9O00vv8bGEZN6BcabrsLcVZaNG7sSgX3VF0glr2bzEtgzHgFBkP5L6zgOPodWJbDu58y+yBaXm7EeCmKuKygGLWas5QzFyTmPLzOqhh0I1qz8+MpQ1j0Zrjuez98iEomZchXY/5OJYA7TTk26rNSK7eLFpN/YtGv9YHOUlIs6dqoV6Crv+wy1QQMTAgtiRvxrUOAtdg6c2qnvgkF1FRyM2rj4MbldDWq2zVR1+BLE2VSYhh+jyUHGDC2lT87wCRvudz8BSNNyZbitHiUaqkI4o/tiYJfvEEJ5OPNum0/w4OP7xd2NeiduZGreaQEb52bn5F/OF9ehczIUokZgE6xzBZiWR6DHMTponoOCsJVKKtZQx1FbQFT4V9BiPB9IJak+WZEIAj1Oqiy4RQN+f+B7AOAtdsKQOQMtmjpBEH7Yxhx7Yf+fFqAQabcRD0XYqBij7FJ2V1Mgk8TM/z4R3cnMp311+r5/BMJRiL4uPW9Xf13/QZpAswB3IOpcSUHdsU9M3XDZOcFER1Hjc3U2625QhOcsx72ZB1l4FvPTeu4gDjPTNE5fjwwWZBjMX5BWUbIC3LC7ZTu5moaahhFKWRkdhq9a4O32e+lzf5LrnJX94JLAnxTBJxpBngTR81ZpiLJu/BczMT5AMySq8LgoLdxlPS6/oK/qmylUfegLcYwaBjqfcQqbByC9hbD0lzTikG4JRbJzTZ5uF0Y4J5rK9pWtLXYrbeKeY82Cnv+APVlcx0ysBeepMiyxB2bHxfiXVwWtNQiY9dq+echZgci9DXa36DhsvkFO+bffNz3SIv83jXUGdkksxSyodejuCW1oCm7TyxyT7U1D55f5u/D9GblicobbhpaupGl7WKjNppnPZFn2xwaZxwKlAKIxS22eiryNrYs4Ns5d0GknrUvBXefWD3hLTgbqaYSCrUBYksPHdE7iJLGu8N/rcUn1Bsha/JuRK1zXzIhDupoCuR2Y6J6gHaDTGeQExQZuDRIHeToX5XsdZB4DotNxAZ4t8OrmWcc99EViJoOm6DNaZyBFQjKOig3JViFQnp6+SZwUEt+gvwBJT+aO2fJEBD19gzQLRsMcbPizZ5KzEUhBlzMrPboo1YP1IbsPoQMavRA5b+f7bnihZY7ahWgBZlzJgYOJenbYxYyTajUaktIDndF/A27Wg/BqgUnc0mXJLzQWwi/B1vlbUOAtd78RRjbZmdnCwTgOAa0Ih0tJfMHBQgQ5CdCOlDCMNU2cdrJzUIyefb5eOyKEAa7w6e9pJvLykFpmCOR5ymTPddlQqLv4aiRWy+El5KAAgehTEZ3bpbwpeBcuacVk2BD9uUXhZY16BstQWYl1T0FmSgdd5BbZbkJgYjZsMujtuXTW69zc+1DgLHuHLnIoJryuCzG95u6rJJfnqKsf1iKIi4ipDTeJjSE7nXv5t8yo4+OZwmq0Sd4siGU1GUtc9sFJcPGLXT1/34ugDuFHwjUBebtlxFu5CCG231xevIAyFJRJI0MinrTzwj0SCUvO4nGBmuxXDLdO/IWGDppoLRbswucIPWLLjeymsdBI57Scb8A7y1xpHo+VDU4MlnApvB2mc2HITDL6TXE3XEOlfElYg9/faNYKSmGuEPmIwu6732bGwZ3ZN4PSFThg/UyIU8YYgaoGi7YeVMESe1CqfsLUlK0QUCQCybdMTRWMFNcWyDQCa5DXwcXxPfT51GpMGFRimFWb/dCNZfx7GuKgiIyI6I/KqIfFFEHhSRt4rIGRH5bRH5kn09nT3+/SLysIg8JCI/fP0u/8ZcPtjDwDOegOyjtwbe0ePOU39jJXIMGQCjt0YfnAi6Ty9q1OabrbMk4T3Q5xODO91ABOWA2OQyaIbB52XLjfwEttzcM6A+CgrWB8nBR+IBau4B9wMY7SkWkkqWD4ZjGB+Cr0m1/snLKuIrowNjZU7VV4CciXZDfCYhHYjz4SnrdfWZwM8D+FhK6TXQkWQPAngfgI+nlO4D8HH7N0TkdQDeBeD1AH4EwC+KSPmsf/UWXzmSDURtC0SaTFESGX5M9SkzdimwC4OiM6HAX3Dt3X/ALL/IZyBY1mxEcEiF0pvJKnQXZNqnEYCzLKPZCj7DMAojFcUKxHr9EbRoauqdhELcoHOo4al82RhhxzKZoQbaaeFdBBqJkDmYS7jJy0giHjRIXlqvWN80CIjINoC3A/i3AJBSalJKlwG8E8AH7WEfBPCT9v07AXwopbRKKX0FwMPQUebr9RyLmzX/NxAehdysOv8QntaHtl8fw5qYtmDUGLAzoeo++NyCsuX4MjnC6BsdqBKwngdgmVtq5SPBYB2AyWUFGqVT0G50oDiDE3EANw3JOf8MbKqmhKsWlcCUTDMAzzh8onKXQDsyBs+RZUzdRHyWgbMab/G6/xutq8kEXgHgaQD/XkT+SET+jY0ovyOl9AQA2Nfb7fF3AXg0+/3H7GdHloi8R0QeEJEHuuXhC3oRN9MqGxxJ7XPCSrUkj90oxjD67ypOZBhophsrHsfhHGQGctQ3TUF4gvL59GRNwb7LSDTIHltSRJUpGftaLAOBewwAem30K8zLGQxBEGo3mP5LWK1RmCTmD5BCjzHUpCmLC7BSFa9nvb75upogUAF4M4BfSim9CcAhLPV/jvVsLOu/wMBIKf1ySuktKaW3VJONq7rYW2lRApyPsIosIIaOkF7s/fEqRnFjsJYj2XTWCWCqHRz5ZJOPNTtoN2hoIt5Co3kKDU+oOKRl11BqcGHNT/ktENmJe/yRnsuSxwhUbHMC4SxUdIrm1/NwX6LLEnkMLacvDQFsrtfVr6sJAo8BeCyl9Af271+FBoUnReQ8ANjXp7LH35P9/t0AHr82l3trLvIL2BIj1VddesgqjHReN5QGgmGkJ2lh1uP9SKcXAVE7k1WnwKE5Aa3C5JPyXnUI0jS/WingqAh+8AQ4FNU7DFanEyNg2cLXQ/PUykoAFDjiUsxyhO3E3KdQAc0b0+H3xbS+aRBIKX0dwKMi8mr70TsAfAHARwG82372bgC/bt9/FMC7RGQsIvcCuA/A/df0qm/VJVl/u4gevWcBZdT7rj+wmpsOw0A4BbNPTpDRR2n3cCCPY9I4A5BjyJtNBRyHOoZ50kGJdTvZgPRFoM0an4fcCCoe80yg6JKJluCMQGc4mhMTRVDr9cJW9c0fAgD4BwD+s4iMAHwZwN+FBpAPi8jPAPgzAD8FACmlz4vIh6GBogPw3pTSuiFzHZa38oiUN3GS92MJABFGRCqCXMSRXgTokrXj2NtXn34gMbuojcBTm1qw101YLmI8N7djorNQSpDBRrBJjA4vTR5NRSWdjVnfs6NBBmW1Ul4Euxtsf67XtVlXFQRSSp8B8JZn+V/veI7HfwDAB17Ada3X81whRsIRw1P6+sF89Hiquyqwjw2vE4CUWccSopuIA3uUHLc20SdZa++oI5AGH3Xmkcw7IbvGImb2hUEIYopyJm4SYH3aX+e1ZgzepCtH+9lylD6Bbr/uPcD2GenEFiDYuweiFi8bpSZzZgJnKdBViYpGNQJheRJZhiR9fv5tH3yS8SBIFV6v41vrt/tWWATh6kxay3kIJTJEXn/Gth8EgLUBqTZki1H/HXwF1wy0yecL5ug/Kc6AAZGZCSpbi+t1MmsdBG7RRQIQgcN805JZd0TpmIK2TFKPW3pNY9gHDViBjB6d+RGsT/kX37paYHC9btHl7kEG7UrGW4iJQzGteb1uvLWOy+u1Xrf4WgeB9VqvW3ytg8B6rdctvtZBYL3W6xZfktLJ92ZEZB/AQyd9HQDOArhw0heB9XVcudbXcXR9q9fxspTSuSt/+GLpDjyUUno2RuKxLhF5YH0d6+u41a5jXQ6s13rd4msdBNZrvW7x9WIJAr980hdga30dR9f6Oo6um/I6XhTA4Hqt13qd3HqxZALrtV7rdULrxIOAiPyIzSd4WES+kXfhtXiufyciT4nI57KfHfv8BBG5R0T+t81w+LyI/MOTuBYRmYjI/SLyWbuOf3YS12F/tzQj2984qWuwv/1VEfkTEfmMiDxwUtdyrLM+Ukon9h+AEsAjUEfjEYDPAnjddXy+t0P9ET+X/exfAHifff8+AP/cvn+dXc8YwL12neU1uo7zAN5s328B+FN7vmO9FqgUaNO+rwH8AYDvPqH35B8D+BUAv3FSn4v9/a8COHvFz07i/fgggL9n348A7Fyv67gum+15vNC3AvjN7N/vB/D+6/ycL78iCDwE4Lx9fx7KWfgL1wLgNwG89Tpd068D+MGTvBYAMwB/COC7jvs6oGa0Hwfw/VkQOJH34jmCwHG/H9sAvgLD7K73dZx0OXBVMwqu83pB8xNe6BKRlwN4E/QUPvZrsTT8M1C36N9O6ip93NfxLwH8EwD5pICT+lwSgN8SkU+LyHtO6Fquy6yP51onHQSuakbBCa3rfm0isgngvwH4RymlvZO4lpRSn1J6I/Q0/k4RecNxXoeI/DiAp1JKn77aX7nW13DFeltK6c0AfhTAe0Xk7SdwLddl1sdzrZMOAi+GGQUnMj9BRGpoAPjPKaX/fpLXAgBJR8v9H+j8yOO8jrcB+AkR+SqADwH4fhH5T8d8Db5SSo/b16cAfAQ6Qu+4r+VYZ32cdBD4FID7ROReszN/F3RuwXGuY5+fICICne34YErp507qWkTknIjs2PdTAD8A4IvHeR0ppfenlO5OKb0c+vl/IqX0d47zGrhEZENEtvg9gB8C8LnjvpZ03LM+rhWg8gJAkB+DouOPAPjZ6/xc/wXAEwBaaPT8GQC3QUGpL9nXM9njf9au6yEAP3oNr+OvQNO1PwbwGfvvx477WgB8G4A/suv4HIB/aj8/9vfE/vb3IoDBk/hcXgFF2T8L4PO8H0/oWt4I4AH7bH4NwOnrdR1rxuB6rdctvk66HFiv9VqvE17rILBe63WLr3UQWK/1usXXOgis13rd4msdBNZrvW7xtQ4C67Vet/haB4H1Wq9bfK2DwHqt1y2+/j8ZB654RzbMKgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "recon = tomopy.recon(proj,\n",
    "                     theta,\n",
    "                     center=rot_center,\n",
    "                     algorithm=tomopy.lprec,\n",
    "                     lpmethod='grad',\n",
    "                     ncore=1,\n",
    "                     num_iter=64,\n",
    "                     reg_par=-1)\n",
    "recon = tomopy.circ_mask(recon, axis=0, ratio=0.95)\n",
    "plt.imshow(recon[0, :, :])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reconstruction using the conjugate gradient method with the log-polar coordinates.\n",
    "$$ \\hat{f} = \\text{argmin}_f\\lVert\\mathcal{R}f-g \\rVert_2^2 $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reconstructing 1 slice groups with 1 master threads...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "recon = tomopy.recon(proj,\n",
    "                     theta,\n",
    "                     center=rot_center,\n",
    "                     algorithm=tomopy.lprec,\n",
    "                     lpmethod='cg',\n",
    "                     ncore=1,\n",
    "                     num_iter=16,\n",
    "                     reg_par=-1)\n",
    "recon = tomopy.circ_mask(recon, axis=0, ratio=0.95)\n",
    "plt.imshow(recon[0, :, :])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reconstruction using the TV method with the log-polar coordinates. It gives piecewise constant reconstructions and can be used for denoising.\n",
    "$$ \\hat{f} = \\text{argmin}_f\\lVert\\mathcal{R}f-g \\rVert_2^2 + \\lambda \\lVert\\nabla f\\rVert_1 $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reconstructing 1 slice groups with 1 master threads...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "recon = tomopy.recon(proj,\n",
    "                     theta,\n",
    "                     center=rot_center,\n",
    "                     algorithm=tomopy.lprec,\n",
    "                     lpmethod='tv',\n",
    "                     ncore=1,\n",
    "                     num_iter=512,\n",
    "                     reg_par=5e-4)\n",
    "recon = tomopy.circ_mask(recon, axis=0, ratio=0.95)\n",
    "plt.imshow(recon[0, :, :])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reconstruction using the TV-entropy method with the log-polar coordinates. It can be used for suppressing Poisson noise.\n",
    "$$ \\hat{f} = \\text{argmin}_f \\lambda \\lVert\\nabla f\\rVert_1+\\int_\\Omega\\mathcal{R}f-g\\log(\\mathcal{R}f)df $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reconstructing 1 slice groups with 1 master threads...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "recon = tomopy.recon(proj,\n",
    "                     theta,\n",
    "                     center=rot_center,\n",
    "                     algorithm=tomopy.lprec,\n",
    "                     lpmethod='tve',\n",
    "                     ncore=1,\n",
    "                     num_iter=512,\n",
    "                     reg_par=2e-4)\n",
    "recon = tomopy.circ_mask(recon, axis=0, ratio=0.95)\n",
    "plt.imshow(recon[0, :, :])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reconstruction using the TV-l1 method with the log-polar coordinates. It can be used to remove\n",
    "structures of an image of a certain scale, and the regularization parameter $\\lambda$ can be used for scale selection. \n",
    "$$ \\hat{f} = \\text{argmin}_f\\lVert\\mathcal{R}f-g \\rVert_1 + \\lambda \\lVert\\nabla f\\rVert_1 $$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reconstructing 1 slice groups with 1 master threads...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "recon = tomopy.recon(proj,\n",
    "                     theta,\n",
    "                     center=rot_center,\n",
    "                     algorithm=tomopy.lprec,\n",
    "                     lpmethod='tvl1',\n",
    "                     ncore=1,\n",
    "                     num_iter=512,\n",
    "                     reg_par=3e-2)\n",
    "recon = tomopy.circ_mask(recon, axis=0, ratio=0.95)\n",
    "plt.imshow(recon[0, :, :])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reconstruction using the MLEM method with the log-polar coordinates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reconstructing 1 slice groups with 1 master threads...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "recon = tomopy.recon(proj,\n",
    "                     theta,\n",
    "                     center=rot_center,\n",
    "                     algorithm=tomopy.lprec,\n",
    "                     lpmethod='em',\n",
    "                     ncore=1,\n",
    "                     num_iter=64,\n",
    "                     reg_par=0.05)\n",
    "recon = tomopy.circ_mask(recon, axis=0, ratio=0.95)\n",
    "plt.imshow(recon[0, :, :])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:tomopy-1.5]",
   "language": "python",
   "name": "conda-env-tomopy-1.5-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}