HajimeKawahara/exojax

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Elower distriibution of Recent databases"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "xsmode assumes ESLOG in wavenumber space: mode=premodit\n",
      "Background atmosphere:  H2\n",
      "Reading /home/kawahara/.database/CH4/12C-1H4/YT34to10/12C-1H4__YT34to10__06100-06200.trans.bz2\n",
      ".broad is used.\n",
      "Broadening code level= a1\n",
      "default broadening parameters are used for  28  J lower states in  45  states\n"
     ]
    }
   ],
   "source": [
    "from exojax.spec.api import MdbExomol\n",
    "from exojax.utils.grids import wavenumber_grid\n",
    "import numpy as np\n",
    "\n",
    "\n",
    "nus, wav, r = wavenumber_grid(16370, 16390, 20000, unit=\"AA\",xsmode=\"premodit\")\n",
    "mdbCH4 = MdbExomol(\"/home/kawahara/.database/CH4/12C-1H4/YT34to10/\",nus)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Background atmosphere:  H2\n",
      "Downloading http://www.exomol.com/db/H2O/1H2-16O/POKAZATEL/1H2-16O__POKAZATEL.def and saving as /home/kawahara/.database/H2O/1H2-16O/POKAZATEL/1H2-16O__POKAZATEL.def\n",
      "Downloading http://www.exomol.com/db/H2O/1H2-16O/POKAZATEL/1H2-16O__POKAZATEL.pf and saving as /home/kawahara/.database/H2O/1H2-16O/POKAZATEL/1H2-16O__POKAZATEL.pf\n",
      "Downloading http://www.exomol.com/db/H2O/1H2-16O/POKAZATEL/1H2-16O__POKAZATEL.states.bz2 and saving as /home/kawahara/.database/H2O/1H2-16O/POKAZATEL/1H2-16O__POKAZATEL.states.bz2\n",
      "Downloading http://www.exomol.com/db/H2O/1H2-16O/1H2-16O__H2.broad and saving as /home/kawahara/.database/H2O/1H2-16O/POKAZATEL/1H2-16O__H2.broad\n",
      "Downloading http://www.exomol.com/db/H2O/1H2-16O/1H2-16O__He.broad and saving as /home/kawahara/.database/H2O/1H2-16O/POKAZATEL/1H2-16O__He.broad\n",
      "Downloading http://www.exomol.com/db/H2O/1H2-16O/1H2-16O__air.broad and saving as /home/kawahara/.database/H2O/1H2-16O/POKAZATEL/1H2-16O__air.broad\n",
      "Error: Couldn't download .broad file at http://www.exomol.com/db/H2O/1H2-16O/1H2-16O__air.broad and save.\n",
      "Note: Caching states data to the vaex format. After the second time, it will become much faster.\n",
      "Reading /home/kawahara/.database/H2O/1H2-16O/POKAZATEL/1H2-16O__POKAZATEL__06100-06200.trans.bz2\n",
      "Downloading http://www.exomol.com/db/H2O/1H2-16O/POKAZATEL/1H2-16O__POKAZATEL__06100-06200.trans.bz2 and saving as /home/kawahara/.database/H2O/1H2-16O/POKAZATEL/1H2-16O__POKAZATEL__06100-06200.trans.bz2\n",
      "Note: Caching line transition data to the vaex format. After the second time, it will become much faster.\n",
      ".broad is used.\n",
      "Broadening code level= a1\n",
      "default broadening parameters are used for  12  J lower states in  63  states\n"
     ]
    }
   ],
   "source": [
    "mdbH2O = MdbExomol(\"/home/kawahara/.database/H2O/1H2-16O/POKAZATEL/\",nus)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "HITEMP keep only relevant input files: []\n",
      "Added HITEMP-{molecule} database in /home/kawahara/radis.json\n",
      "HITEMP keep only relevant input files: ['/home/kawahara/.database/H2O/H2O-01_06000-06500_HITEMP2010.hdf5']\n"
     ]
    }
   ],
   "source": [
    "from exojax.spec.api import MdbHitemp\n",
    "mdbH2Oh = MdbHitemp(\"/home/kawahara/.database/H2O/H2O\",nus)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Downloading 06_HITEMP2020.par.bz2 for CH4 (1/1).\n",
      "Download complete. Parsing CH4 database to /home/kawahara/.database/CH4/CH4-06_HITEMP2020.hdf5\n",
      "\u001b[31mWarning : 10 files were written but not combined. Deleting them.\n",
      "\n",
      "['/home/kawahara/.database/H2O-01_06000-06500_HITEMP2010_temp00000.hdf5', '/home/kawahara/.database/H2O-01_06000-06500_HITEMP2010_temp00001.hdf5', '/home/kawahara/.database/H2O-01_06000-06500_HITEMP2010_temp00002.hdf5', '/home/kawahara/.database/H2O-01_06000-06500_HITEMP2010_temp00003.hdf5', '/home/kawahara/.database/H2O-01_06000-06500_HITEMP2010_temp00004.hdf5', '/home/kawahara/.database/H2O-01_06000-06500_HITEMP2010_temp00005.hdf5', '/home/kawahara/.database/H2O-01_06000-06500_HITEMP2010_temp00006.hdf5', '/home/kawahara/.database/H2O-01_06000-06500_HITEMP2010_temp00007.hdf5', '/home/kawahara/.database/H2O-01_06000-06500_HITEMP2010_temp00008.hdf5', '/home/kawahara/.database/H2O-01_06000-06500_HITEMP2010_temp00009.hdf5']\u001b[0m\n",
      "Added HITEMP-{molecule} database in /home/kawahara/radis.json\n"
     ]
    }
   ],
   "source": [
    "mdbCH4h = MdbHitemp(\"/home/kawahara/.database/CH4/CH4\",nus)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "xsmode assumes ESLOG in wavenumber space: mode=premodit\n",
      "Background atmosphere:  H2\n",
      "Reading /home/kawahara/.database/CO/12C-16O/Li2015/12C-16O__Li2015.trans.bz2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/kawahara/anaconda3/lib/python3.8/site-packages/exojax-1.2-py3.8.egg/exojax/utils/grids.py:123: UserWarning: Resolution may be too small. R=463335.67821601615\n",
      "  warnings.warn('Resolution may be too small. R=' + str(resolution),\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      ".broad is used.\n",
      "Broadening code level= a0\n",
      "default broadening parameters are used for  71  J lower states in  152  states\n"
     ]
    }
   ],
   "source": [
    "nusx, wavx, rx = wavenumber_grid(22920, 23420, 10000, unit=\"AA\",xsmode=\"premodit\")\n",
    "mdbCO = MdbExomol(\"/home/kawahara/.database/CO/12C-16O/Li2015/\",nusx, crit=0.0)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "718"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(mdbCO.elower)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "logbin=np.logspace(1.5,4.5,100)\n",
    "plt.hist((mdbH2O.elower),bins=logbin, log=True,alpha=0.2,label=\"H2O/ExoMol/POKAZATEL\",color=\"C0\")\n",
    "plt.hist((mdbH2Oh.elower),bins=logbin, log=True,alpha=0.4,label=\"H2O/HITEMP2010\",color=\"C0\")\n",
    "plt.hist((mdbCH4.elower),bins=logbin, log=True,alpha=0.2,label=\"CH4/ExoMol/YT34to10\",color=\"C2\")\n",
    "plt.hist((mdbCH4h.elower),bins=logbin, log=True,alpha=0.4,label=\"CH4/HITEMP2020\",color=\"C2\")\n",
    "plt.hist((mdbCO.elower),bins=logbin, log=True,alpha=0.4,label=\"c.f. CO/ExoMol/Li2015, \\n $\\\\Delta \\\\lambda = 500 \\\\AA$@2.3$\\\\mu m$\",color=\"C1\")\n",
    "plt.title(\"$\\\\lambda = 16370 - 16390 \\\\AA,  \\\\Delta \\\\lambda = 20 \\\\AA$\")\n",
    "plt.xlabel(\"E ($\\mathrm{cm^{-1}}$)\",fontsize=14)\n",
    "plt.ylabel(\"frequency\",fontsize=14)\n",
    "plt.legend(fontsize=13)\n",
    "plt.xscale(\"log\")\n",
    "plt.tick_params(labelsize=15)\n",
    "#plt.savefig(\"elower_distribution.png\")\n",
    "plt.savefig(\"elower_distribution.png\", bbox_inches=\"tight\", pad_inches=0.03)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "logbin=np.logspace(-160,-18,200)\n",
    "plt.hist((mdbH2O.Sij0),bins=logbin, log=True,alpha=0.2,label=\"H2O/ExoMol/POKAZATEL\",color=\"C0\")\n",
    "plt.hist((mdbH2Oh.Sij0),bins=logbin, log=True,alpha=0.4,label=\"H2O/HITEMP2010\",color=\"C0\")\n",
    "plt.hist((mdbCH4.Sij0),bins=logbin, log=True,alpha=0.2,label=\"CH4/ExoMol/YT34to10\",color=\"C2\")\n",
    "plt.hist((mdbCH4h.Sij0),bins=logbin, log=True,alpha=0.4,label=\"CH4/HITEMP2020\",color=\"C2\")\n",
    "plt.hist((mdbCO.Sij0),bins=logbin, log=True,alpha=0.4,label=\"c.f. CO/ExoMol/Li2015, $\\\\Delta \\\\lambda = 500 \\\\AA$@2.3$\\\\mu m$\",color=\"C1\")\n",
    "plt.title(\"$\\\\lambda = 16370 - 16390 \\\\AA,  \\\\Delta \\\\lambda = 20 \\\\AA$\")\n",
    "plt.xlabel(\"line strength\",fontsize=14)\n",
    "plt.ylabel(\"frequency\",fontsize=14)\n",
    "plt.legend(fontsize=10, loc=\"upper left\")\n",
    "plt.ylim(1,10**8)\n",
    "plt.xscale(\"log\")\n",
    "plt.tick_params(labelsize=15)\n",
    "#plt.savefig(\"elower_distribution.png\")\n",
    "plt.savefig(\"linestrength_distribution.png\", bbox_inches=\"tight\", pad_inches=0.03)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lVSaO/+HDh+UeBxEREak3lU3AKvsS2/z8fKxcuRIAEBERIXWbb8aMGYiOjsbJkydx8eJFyUrH4eHhWLx4cZn9ent7IyoqSqY8JiYGEydOxLp169C1a9dy4xM/GVPRl/kSERGR+lKb52FPnTqFjIwM2NnZSa27IzZq1CgAwJ49eyRlgYGByM/PL/OzceNGmb62bt0KT09PrF27Fr6+vjL1VlZWePTokVSZ+HvJkTEiIiJ686hNAnblyhUAKHU0SlwubgcUvztNS0urzE/JNVvWr18PHx8fREVFwcfHR+6+evTogQMHDkiV7d+/H3p6ejLvGSMiIqI3j8regqys5ORkACj1SUdxubidIsLCwjBnzhxERETAxcUFqampAIpfNvv6gokzZ85E9+7dMXPmTHzyySe4efMmAgMDMXXq1FKfgMzNzUVubq7ke1FREdLT02Fubs7blkRERHWEIAh4/vw5rK2ty154V4lrkFUKAEFHR6fU+vHjxwsAhC+++EJu/e3btwUAQuvWrRWOobRFGJs1aybT9uDBg0KXLl0EbW1twcrKSvj888/LXIh10aJFlVrEkB9++OGHH374Ud3PgwcPyswp1GYETPjfahqljRYJ1bDaRlJSUoXbDhw4EAMHDqxw+/nz52PGjBmS75mZmWjatCkePHgAIyOjyoRJpJZupt+U+t7OrJ2SIiEiKl1WVhZsbGxgaGhYZju1ScDEB5qdnS23/uXLlwCgsoug6ujoQEdHBxEREYiIiEBhYSGA4mUwmIARAQb50v/t8r8LIlJl5U0fUptJ+E2bNgUApKSkyK0Xl4vbqSp/f3/cuHED58+fV3YoREREVEPUJgGzt7cHACQmJsqtF5d37ty51mIiIiIikkdtErAePXrA2NgYd+/exaVLl2Tqt2/fDgBwd3ev7dAqJSIiAu3bt4eDg4OyQyEiIqIaojYJmLa2NgICAgAAAQEBUnPBwsLCcPXqVfTs2VPlExvegiQiIlJ/KjsJf9++fVIvswaAvLw8dO/eXfJ94cKFGDp0qOT7ggULcPToUcTHx6NVq1bo1asX7t+/j4SEBJibmyMyMrLW4iciIiIqjcomYGlpaUhISJAqEwRBqiwtLU2qXldXF7GxsQgNDcXmzZuxa9cumJqawtvbGyEhIbCxsamV2Kui5FOQREREpH5EQnUskEXVLisrC8bGxsjMzOTj9kQA/nj6h9T3DuYdlBQJEVHpKvr7W23mgBERERHVFUzAVAyfgiQiIlJ/vAWpongLkkgab0ESUV3AW5BEREREKooJGBEREVEtYwJGREREVMuYgKkYTsInIiJSf5yEr6I4CZ9IGifhE1FdwEn4RERERCqKCRgRERFRLWMCRkRERFTLmICpGE7CJyIiUn+chK+iOAmfSBon4RNRXcBJ+EREREQqigkYERERUS1jAkZERERUy7SUHQAREakWzrcjqnkcAVMxfAqSiIhI/TEBUzH+/v64ceMGzp8/r+xQiIiIqIYwASMiIiKqZUzAiIiIiGoZEzAiIiKiWsYEjIiIiKiWMQEjIiIiqmVcB4yIiKqs5NphANcPIyoLR8CIiIiIahkTMCIiIqJaxgRMxXAlfCIiIvXHBEzFcCV8IiIi9cdJ+EREVGnyJt0TUcVxBIyIiIioljEBIyIiIqplvAVJRESkZq6lZMqUdWpirIRIqDQcASMiIiKqZUzAKiEyMhKurq6wsLCAoaEhunXrhp9//lmm3cmTJzF8+HA0a9YMIpEIQUFBtR8sERERqSzegqyEY8eOwcPDA8uWLYOpqSl27twJLy8vaGlpwdPTU9LuxYsXaN++PT788ENMmzZNeQETEVUDPvGoHnhbUrWobAJ28eJFHDlyBOfOnUNCQgIePnwIHR0d5OTklLldTk4OQkNDsWXLFiQnJ8PMzAyDBg1CcHAwmjRpUqWYNm3aJPV99uzZiI2NxbZt26QSsCFDhmDIkCEAgLlz51Zpn0RERKR+VDYBCwkJQUxMTKW2ycnJgZubG+Lj42FlZYXhw4cjKSkJkZGR2Lt3L86cOQM7O7tqjTMjIwM2NjbV2icREb2ZOEr15lDZBMzZ2Rn29vZwcHCAg4MDGjVqVO42S5YsQXx8PJydnXH48GEYGBgAAMLCwjBz5kz4+fkhLi5O0j49PR3p6ell9mlkZISGDRvKrYuOjsaFCxewatWqShwZERFVN3m3STuYd1BCJEQVo7IJWGVv3eXn52PlypUAit+nKE6+AGDGjBmIjo7GyZMncfHiRXTr1g0AEB4ejsWLF5fZr7e3N6KiomTKY2JiMHHiRKxbtw5du3atVKxERET0ZlObpyBPnTqFjIwM2NnZoUuXLjL1o0aNAgDs2bNHUhYYGIj8/PwyPxs3bpTpa+vWrfD09MTatWvh6+tbcwdFRERUAddSMqU+pPpUdgSssq5cuQIApY5GicvF7QBAQ0MDGhqVy0HXr1+PKVOmICoqCmPGjFEwWlm5ubnIzc2VfM/Kyqq2vomIiEi1qE0ClpycDAClPukoLhe3U0RYWBjmzJmDiIgIuLi4IDU1FQCgqakJCwsLSbsXL17gzp07AIC8vDykpqbi8uXL0NbWRvv27eX2HRoaWu7tUCIiIlIPanML8sWLFwCA+vXry63X19eXaqeI8PBwFBYWYtKkSbCyspJ8HBwcpNpduHABXbp0QZcuXfDo0SOsW7cOXbp0kSxNIc/8+fORmZkp+Tx48EDhOImIiEi1qc0ImCAIAACRSFRmfVUkJSVVqJ2Li0ul96ejowMdHR0FoiIievNwcdjqUXK+GJe8qD1qMwJmaGgIAMjOzpZb//LlSwCQejpSFUVERKB9+/Yyo2pERESkPtRmBKxp06YAgJSUFLn14nJxO1Xl7+8Pf39/ZGVlwdiYf4kQEZE0PuWoHtQmAbO3twcAJCYmyq0Xl3fu3LnWYiIiIqoqJlzqSW0SsB49esDY2Bh3797FpUuXZNYC2759OwDA3d1dGeFVWEREBCIiIlBYWKjsUIjoDcC5VFQezhOrGWozB0xbWxsBAQEAgICAAKm5YGFhYbh69Sp69uyp8nOr/P39cePGDZw/f17ZoRAR1Wl/PP1D6kOkSlR2BGzfvn0ICQmRKsvLy0P37t0l3xcuXIihQ4dKvi9YsABHjx5FfHw8WrVqhV69euH+/ftISEiAubk5IiMjay1+IiIiotKobAKWlpaGhIQEqTJBEKTK0tLSpOp1dXURGxuL0NBQbN68Gbt27YKpqSm8vb0REhICGxubWom9KngLkohIGkevag/nm9UekVAdC2RRtRM/BZmZmQkjIyNlh0OkdCV/CXcw76CkSNRLTSY31fUzqq4Y68I1UxcSIM4BK1tFf3+rzRwwIiIiorpCZW9Bvql4C5KIiFSZvFE6jopVHkfAVAyfgiQiIlJ/HAEjIiKqAVw/i8rCBIyIiN5YfLiDlIW3IFUMX8ZNRESk/jgCpmL4Mm4iIuWRt+QFR8WoJjABIyKiNwIXdCVVwgSMiIhURl1NkurCAqqkWpiAERERlYET9akmMAFTMVyIlYhqSl0dXVI18s9jk1qPg+o2JmAqhpPwiYjqnr+zbsmUtTBqq4RIqK7gMhREREREtYwjYERERErCyftvLo6AEREREdUyjoAREdEb687jF1LfW1oaKCkSetMwASMiIqoFvN1Ir+MtSBXDd0ESERGpP46AqRguQ0FEbxKuTaYeSo7udWrC31/lYQJGRERUA0quDcZ1weh1vAVJREREVMuYgBERERHVMiZgRERERLWMc8CIiIgqoeTaYUSKYAJGRERUC/jCbnodEzAiIqoRJZeY6GDeQUmREKkeJmAqJiIiAhERESgsLFR2KFQCf5kQUXXjUhVvLiZgKoYLsRJVH3mLfDJxJiJVwASMiEgNMNkkqluYgBEREVG1kvficb6eSBrXASMiIiKqZUzAiIiIiGoZb0ESEZHKkLfIaUtLAyVEQlSzFBoBa9GiBcLDw8tss3btWrRo0UKhoIiISP388fQPmQ/Rm0qhBCwpKQkZGRlltsnMzMT9+/cV6V5lRUZGwtXVFRYWFjA0NES3bt3w888/K9yOiIiI3kw1dgsyMzMTOjo6NdW9Uhw7dgweHh5YtmwZTE1NsXPnTnh5eUFLSwuenp6VbkdEVJM4wlT38HVFb44KJ2AnT56U+p6UlCRTBgCFhYVISUnBTz/9hNatWysc2MWLF3HkyBGcO3cOCQkJePjwIXR0dJCTk1Pmdjk5OQgNDcWWLVuQnJwMMzMzDBo0CMHBwWjSpInC8QDApk2bpL7Pnj0bsbGx2LZtm1RiVdF2RERE9GaqcALm4uICkUgEABCJRIiOjkZ0dLTctoIgQCQSYcmSJQoHFhISgpiYmEptk5OTAzc3N8THx8PKygrDhw9HUlISIiMjsXfvXpw5cwZ2dnYKxyRPRkYGbGxsqq0dERERqb8KJ2CBgYEQiUQQBAHBwcHo06cPXFxcZNppamrCzMwMrq6uaNeuncKBOTs7w97eHg4ODnBwcECjRo3K3WbJkiWIj4+Hs7MzDh8+DAOD4idnwsLCMHPmTPj5+SEuLk7SPj09Henp6WX2aWRkhIYNG8qti46OxoULF7Bq1aoy+6hoOyKiN428px6J3gQVTsCCgoIk/z8uLg6+vr74+OOPayImAMDcuXMr1T4/Px8rV64EUPxCa3HyBQAzZsxAdHQ0Tp48iYsXL6Jbt24AgPDwcCxevLjMfr29vREVFSVTHhMTg4kTJ2LdunXo2rVrqdtXtB0RqQ6+eF09lEzuuJwFqRKFJuHHxsZWdxxVdurUKWRkZMDOzg5dunSRqR81ahSuXr2KPXv2SBKwwMBALFiwoMx+NTRkHxTdunUrfHx8sHbtWvj4+JS6bUXbERFRzavIaBvXIaPaUuWnILOzs5GRkYHCwkK59U2bNq3qLirkypUrAFDqKJO4XNwOKE6u5CVYZVm/fj2mTJmCqKgojBkzpsrtxHJzc5Gbmyv5npWVVam4iIiIqO5QOAHbsGEDVqxYgT///LPUNiKRCAUFBYruolKSk5MBoNQnHcXl4naKCAsLw5w5cxAREQEXFxekpqYCKJ73ZmFhUel2rwsNDS33digRkTJwVIio+imUgK1Zswb+/v7Q0tJC79690aRJE2hpKfetRi9eFP8DUb9+fbn1+vr6Uu0UER4ejsLCQkyaNAmTJk2SlDdr1gxJSUmVbve6+fPnY8aMGZLvWVlZfGqSiIhITSmUNX333Xdo0KABTp06VaW1vqqTIAgAIFkqo7T6qigteVK03et0dHTUbuFaqjhO+iai0pRcnLWuLsx6LSVT6nunJsZKikQ1KPQqovv372P06NEqk3wBgKGhIYDiOWnyvHz5EgCkno5URREREWjfvj0cHByUHQoRERHVEIUSMGtr61In3SuLeLJ/SkqK3HpxeW09FKAof39/3LhxA+fPn1d2KERERFRDFErAfH19ceDAgVJHm5TB3t4eAJCYmCi3XlzeuXPnWotJERwBIyIiUn8KJWCff/45HB0d0b9/f5w8eRLPnz+v7rgqrUePHjA2Nsbdu3dx6dIlmfrt27cDANzd3Ws7tErhCBgREZH6q1ACpqGhAU1NTclHW1sbO3bswNmzZ+Hq6goTExOpevGnNp+M1NbWRkBAAAAgICBAanQuLCwMV69eRc+ePTmyREREREpXoQypd+/epT5dWFP27duHkJAQqbK8vDx0795d8n3hwoUYOnSo5PuCBQtw9OhRxMfHo1WrVujVqxfu37+PhIQEmJubIzIystbiV1RERAQiIiJUbo4dERERVZ8KJWAnTpyo4TBkpaWlISEhQapMEASpsrS0NKl6XV1dxMbGIjQ0FJs3b8auXbtgamoKb29vhISE1Il1tfz9/eHv74+srCwYG7/Zj+gSERGpK+WunloGHx8fhd6fqKenh+DgYAQHB1d/UERERETVQKFJ+ERERESkOIVGwPr27VtuGw0NDRgZGaFNmzYYMWIEnJycFNnVG4dzwIiIqCwlV8YH6u7q+G8yhRIw8ZwwkUgk9xU/JcuXLVsGX19f/N///Z9iUb5BOAeMiIhI/Sl0C/LVq1cYNmwY2rdvjy1btuD+/fvIycnB/fv3sXnzZnTo0AEeHh548OABDh8+jK5duyIyMhJr1qyp7viJiIiI6hyFErBFixbh+vXrSEhIgKenJ2xsbKCtrQ0bGxuMGTMGZ86cwdWrV7Fy5Ur069cPR44cgYWFRZ1YBoKIiIiopimUgG3evBnvvvsu6tevL7deX18fI0eOxJYtWwAAJiYmGDRoEG7evKl4pG8IvoqIiIhI/SmUgKWlpaGgoKDMNgUFBXjy5Inku5WVFSeWVwBfRURERKT+FErA7OzssH37dmRkZMitT09Px6+//go7OztJ2cOHD2FmZqZQkERERETqRKEEbMqUKXj48CG6du2KiIgIJCYm4sGDB0hMTMSqVavw9ttvIzU1FVOmTAEAFBUV4fjx47ytRkRERAQFl6GYOHEi/vnnH4SGhmLq1KlSdYIgQENDA/Pnz8fEiRMBFI+IzZo1C++8807VIyYiIqI671pKpkxZpyZvzvJLCr+KKDg4GF5eXti8eTOuXr2KrKwsGBkZwd7eHmPGjEHr1q0lbRs0aIDPPvusWgJWd1yIlahu+OPpHzJlHcw7KCESIqqLqvQuyFatWmHRokXVFQuBC7ESkSwme8p15/ELZYdAaojvgiQiIiKqZRUaATt58iQAwNHREbq6upLvFdG7d2/FIiMiIiJSUxVKwFxcXCASiXDz5k20bt1a8r0iOJeJiIiISFqFErDAwECIRCI0aNBA6jsRERERVV6FErCgoKAyvxMRERFRxXESvorhuyCJiIjUX5WWoUhNTcVvv/2GW7duITs7Gxs2bABQ/K7Ie/fuoVOnTtDT06uWQN8UXIaCiIhI/SmcgK1evRozZ85Ebm4uAEAkEkkSsCdPnsDZ2Rlr167F+PHjqydSIiIiIjWh0C3IPXv2ICAgAJ06dcLu3bsxefJkqfoOHTqgc+fO2LVrV3XESERERKRWFBoBW758OZo2bYrY2Fjo6+vj4sWLMm06deqE33//vcoBEhEREakbhRKwy5cvw8vLC/r6+qW2ady4MR4/fqxwYEREpBq2XUiRKft8aFslREKkPhS6BVlUVIR69eqV2SYtLQ06OjoKBUVERESkzhRKwNq0aYNTp06VWl9QUIC4uDh06tRJ4cCIiIiI1JVCCdjYsWORmJiIL7/8UqausLAQs2bNwt9//42PP/64ygESERHRm+FaSqbMR10pNAdsypQp2LNnDxYtWoSffvpJcqtx9OjRuHDhApKSkjBgwACMGzeuWoN9E0RERCAiIoLv0CSiMv3x9A9lh0BEVaDQCFi9evVw6NAhzJs3D//++y+uX78OQRCwfft2pKenY+7cudi9ezffF6kAf39/3LhxA+fPn1d2KERERFRDFF6IVVtbG1999RW+/PJL/Pnnn0hPT4eRkRHatWsHTU3N6oyRiIiISK1U6VVEQPEK+G3b8nFkIiIioopSKAEbOnQo+vbtCxcXF3Tt2pW3GomIqFpwzTHF/J11S+p7CyOeM1WnUAJ2+PBhHDhwACKRCEZGRujVqxdcXV3h6uqKt956q5pDJCJSX/Im03cw76CESIioNimUgGVkZOD333/H8ePHceLECRw4cAB79+6FSCSCiYkJevfuDVdXV7i4uKBz587VHTMREakJeSNeFXHn8Qup7y0tDaojHKJao1ACpq+vj0GDBmHQoEEAgKysLJw8eRInTpxAbGws9u7dK3kKsqCgoFoDJiIiIqrrFFqGoiQjIyN07NgRHTp0QLt27WBiYgJBECAIQnV0rzIiIyPh6uoKCwsLGBoaolu3bvj5559l2m3fvh2Ojo4wMzODrq4uWrZsiQULFiAvL08JURMREZGqUfgpyH/++QexsbE4fvw4YmNjkZycDEEQ0LhxYwwePFgyJ0ydHDt2DB4eHli2bBlMTU2xc+dOeHl5QUtLC56enpJ2ZmZmmDNnDtq1awd9fX1cunQJEydORFZWFsLDw5V4BEREdU/J241E6kChBKx169a4e/cuAKBhw4ZwcXHB/Pnz4erqilatWlVLYBcvXsSRI0dw7tw5JCQk4OHDh9DR0UFOTk6Z2+Xk5CA0NBRbtmxBcnIyzMzMMGjQIAQHB6NJkyZVimnTpk1S32fPno3Y2Fhs27ZNKgHr27evVDtbW1ucPHkSR48erdL+iYiISD0olIDduXMHANCvXz/4+/vDxcUFxsbG1RpYSEgIYmJiKrVNTk4O3NzcEB8fDysrKwwfPhxJSUmIjIzE3r17cebMGdjZ2VVrnBkZGbCxsSmzzc2bN3HgwAEMGDCgWvdNREREdZNCCdjXX3+NuLg4/P777zh27Bg0NDRgb28PV1dX9O3bF7169YKBQdWeSHF2doa9vT0cHBzg4OCARo0albvNkiVLEB8fD2dnZxw+fFgSQ1hYGGbOnAk/Pz/ExcVJ2qenpyM9Pb3MPo2MjNCwYUO5ddHR0bhw4QJWrVolt97AwAD5+fnIy8vDxIkT8e2335Z7DERERKT+FErAZs+ejdmzZ6OoqAjnz59HbGwsTpw4gbVr12LFihXQ0tJCt27d0LdvX3z11VcKBTZ37txKtc/Pz8fKlSsBFL/Q+vUEcMaMGYiOjsbJkydx8eJFdOvWDQAQHh6OxYsXl9mvt7c3oqKiZMpjYmIwceJErFu3Dl27dpW77eXLl/Hq1StcuHAB8+bNg6WlZbn7IyKi2lNyGYzRb1dtqgpRRVXpKUgNDQ04OTlh3rx5OHjwINLS0vDNN9/A1NQUCQkJWLp0aXXFWa5Tp04hIyMDdnZ26NKli0z9qFGjAAB79uyRlAUGBiI/P7/Mz8aNG2X62rp1Kzw9PbF27Vr4+vqWGlPLli3RqVMn+Pr6YtmyZfjyyy+RnZ1dDUdLREREdVmV3wWZmJiI2NhYxMbG4vfff8eLFy8gCIJkFKy2XLlyBQBKHY0Sl4vbAcUJpIZG5XLQ9evXY8qUKYiKisKYMWMqta0gCMjPz5dbl5ubi9zcXMn3rKysSvVNREREdYdCCVh4eDhiY2Nx8uRJZGRkQBAEaGpqokuXLnBxcYGrq2u1zAOrjOTkZAAo9UlHcbm4nSLCwsIwZ84cREREwMXFBampqQAATU1NWFhYSNqFhITAyckJLVq0gCAIOHfuHObOnYvhw4fDxMREbt+hoaG8PUlERPSGUCgBmzZtmmTivTjh6t27N4yMjKo7vgp78aJ4nZj69evLrdfX15dqp4jw8HAUFhZi0qRJmDRpkqS8WbNmSEpKknx/9eoVpkyZggcPHkBLSwu2traYPn06pk6dWmrf8+fPx4wZMyTfs7Kyyn26koiIiOomhRKwnTt3ok+fPqWO5iiDeNV9kUhUZn1VvJ5klWXJkiVYsmRJpfrW0dGBjo4OIiIiEBERgcLCQgUiJCIiUi/XUjKlvndqUr3LXimLQpPwy7qVpiyGhoYAUOok95cvXwJArd4WVYS/vz9u3LiB8+fPKzsUIiIiqiHV8i5IVdC0aVMAQEpKitx6cbm4HREREZGyqE0CZm9vD6D4qUx5xOWdO3eutZgUERERgfbt28PBwUHZoRAREVENUZsErEePHjA2Nsbdu3dx6dIlmfrt27cDANzd3Ws7tErhLUgiIiL1pzYJmLa2NgICAgAAAQEBUnPBwsLCcPXqVfTs2ZMjS0RERKR0VV6Itabs27cPISEhUmV5eXno3r275PvChQsxdOhQyfcFCxbg6NGjiI+PR6tWrdCrVy/cv38fCQkJMDc3R2RkZK3Fryg+BUlERKT+VDYBS0tLQ0JCglSZIAhSZWlpaVL1urq6iI2NRWhoKDZv3oxdu3bB1NQU3t7eCAkJqRPravn7+8Pf3x9ZWVkwNlaPR22JiIhImsomYD4+PvDx8an0dnp6eggODkZwcHD1B0VERERUDRROwI4ePYqwsDCcP38eGRkZKCoqkmkjEolQUFBQpQCJiIgUse2C9LJEo9+W/6o6ImVQKAHbsWMHPD09UVRUhGbNmqFt27bQ0lLZwbQ6hXPAiIiI1J9CWVNwcDD09PQQExODvn37VndMbzTOASMiIlJ/CiVgf/75J7y8vJh8ERFRqe48fiH1vaWlar8Kjqg2KZSANWjQAPXr16/uWIgk/nj6h0xZB/MOSoiEiKh8JeebAZxzRmVTaCHW0aNH4+jRo5xgXwP4KiIiIiL1p9AI2Jdffolz587B09MT3377LV9wXY04B4yIqGbIG6Wqzf1xRIxeV6EErEWLFjJl+fn5OHPmDHbt2gUTExO5yYJIJMLdu3erHiURERGRGqlQAlZUVASRSCS9oZaW1MiXIAgy28krIyJ6U3AuIxGVpkIJWFJSUg2HQURERPTm4OqpKoYLsRIRvbn4NGX5rqVkypR1alL35kwr9BQk1Rx/f3/cuHED58+fV3YoREREVEMUGgHz8/Mrt42GhgaMjIzQpk0buLu7o3HjxorsiojojVdyQVOAi5oqU20/TUnqSaEELCoqSjIpX95Ee5FIJFU+ZcoUBAYGYsGCBQqGSUREtUVewkdE1UuhW5B3796Fu7s7LC0tERoairi4ONy6dQtxcXFYsmQJLC0t4eHhgYSEBPzwww+wtrbGokWL8Msvv1R3/ERERER1jkIjYL/88gvOnTuHK1euoGHDhpLy1q1bo1evXvDx8cFbb72F2NhYzJkzB4MHD0b79u2xevVqeHp6VlvwRERE1YmT4Km2KDQCtmHDBrz//vtSydfrGjVqhPfffx/r168HADRu3Bju7u64cuWK4pESERERqQmFErCUlBTo6OiU2UZXVxcpKf/9JdG0aVPk5OQosrs3Ct8FSUREpP4USsAaN26MmJgY5Obmyq3Pzc1FTEyM1JOPT548gampqWJRvkG4DAUREZH6UygBGzduHO7cuYM+ffpg3759SE9PBwCkp6dj79696N27N+7evSu1XMXvv/8Oe3v76omaiIiIqA5TaBL+nDlzcPPmTWzatAkeHh4Aitf9KioqAlC8NMXYsWMxb948AMDjx48xdOhQDBo0qJrCJiIiZSq5VAXXJSOqHIUSME1NTfz444/w9vbGpk2bcPXqVWRlZcHIyAj29vYYO3Ys3NzcJO0tLS3x7bffVlvQRERERHVZld4F6ebmJpVoERGRcnC1fKK6he+CJCIiIqplVRoBS01NxcWLF5GRkYHCwkK5bT7++OOq7IKIiIhI7SiUgOXk5GD8+PHYsmWL3HdBAsUT8UUiERMwIiIiohIUSsDmzp2Ln3/+Ga1bt8YHH3yAJk2aQEurSoNp9D8RERGIiIgodUSRiIjqJr7miF6nUNb066+/on379rh48WK5K+JT5fj7+8Pf3x9ZWVkwNjZWdjhERERUAxSahJ+RkYFBgwYx+SIiIiJSgEIjYO3atcPjx4+rOxYiIiKFyFuGg0iVKTQCNnfuXMTExODOnTvVHQ8RERGR2lNoBKxRo0YYNGgQHB0dMW3aNHTp0qXU+Uq9e/euUoBERETqSt7EfHozKJSAubi4QCQSQRAEBAUFQSQSldqWT/MREREprmSSxicnZV1LyZT63qmJ6j/EplACFhgYWGbSpa4iIyPx448/4vr168jJyUHr1q0xY8YMjB07ttRtjh07hgEDBsDGxgZJSUm1FywRqQ15oySfD22rhEiIqLoolIAFBQVVcxh1w7Fjx+Dh4YFly5bB1NQUO3fuhJeXF7S0tODp6SnT/uHDh/D29saAAQNw8+ZNJURMRKQ6OFGe6D8qu3rqxYsXceTIEZw7dw4JCQl4+PAhdHR0kJOTU+Z2OTk5CA0NxZYtW5CcnAwzMzMMGjQIwcHBaNKkasO2mzZtkvo+e/ZsxMbGYtu2bTIJWGFhIT744AN89tlnyM7OZgJGRKQgLmBK6qhKCdilS5ewZcsW3Lp1Cy9fvsTRo0cBAPfv30dCQgL69esHMzMzhfoOCQlBTExMpbbJycmBm5sb4uPjYWVlheHDhyMpKQmRkZHYu3cvzpw5Azs7O4XiKU1GRgZsbGxkyj///HPo6+tj1qxZWLx4cbXuk4iIiOo2hROwOXPmYMWKFZJ3Qb4+J0wQBHz44YdYsWIFPvvsM4X6d3Z2hr29PRwcHODg4IBGjRqVu82SJUsQHx8PZ2dnHD58GAYGBgCAsLAwzJw5E35+foiLi5O0T09PR3p6epl9GhkZoWHDhnLroqOjceHCBaxatUqqfN++ffj5559x6dKlN3KuHBFRTePEdKrrFErAIiMj8c0332DYsGH46quvsGXLFixdulRSb2trC0dHR+zevVvhBGzu3LmVap+fn4+VK1cCKH6fojj5AoAZM2YgOjoaJ0+exMWLF9GtWzcAQHh4eLmjU97e3oiKipIpj4mJwcSJE7Fu3Tp07dpVUp6SkgJfX19s27YNFhYWlToGIqK6ivO7iCpHoYVYV69ejXbt2mHHjh3o2LEjtLW1Zdq0bdsWt2/frnKAFXXq1ClkZGTAzs4OXbp0kakfNWoUAGDPnj2SssDAQOTn55f52bhxo0xfW7duhaenJ9auXQtfX1+pugsXLiAtLQ39+vWDlpYWtLS0EBwcjPv370NLS0tuf0RERPRmUWgE7MaNGxg/fjy0tErf3NLSEk+ePFE4sMq6cuUKAEiNRr1OXC5uBwAaGhrQ0KhcDrp+/XpMmTIFUVFRGDNmjEy9m5sbrl27JlW2evVqxMTE4NChQ2jcuHGl9kdERETqR6EETEtLC3l5eWW2efjwodRtwJqWnJwMAKU+6SguF7dTRFhYGObMmYOIiAi4uLggNTUVAKCpqSm53WhoaIiOHTtKbdewYUPUq1dPpvx1ubm5yM3NlXzPyspSOE4iIlJffCpUPSh0C7JTp06IjY1FUVGR3HrxE5HiuVa14cWL4vkH9evXl1uvr68v1U4R4eHhKCwsxKRJk2BlZSX5ODg4KNynWGhoKIyNjSUfeU9WEhERkXpQKAHz8/PDn3/+icmTJ8uMhGVlZcHHxwepqakYP358tQRZEfKexpRXXxVJSUkQBEHmU94K90FBQeW2mT9/PjIzMyWfBw8eVDleIiJl2nYhRepDRP9R6Bakn58fjh07hvXr12PLli0wMTEBADg6OuLmzZvIzs6Gj4+PZOJ7bTA0NAQAZGdny61/+fIlANTqbdHK0NHRgY6ODiIiIhAREcF3aBKR0jBZIqp5Co2AAcDPP/+MdevWoXnz5vjnn38gCAIuXLiApk2bYs2aNbX+tF/Tpk0BFC8DIY+4XNxOVfn7++PGjRs4f/68skMhIiKiGlKllfDHjx+P8ePH49WrV3j27BmMjIyUNsJkb28PAEhMTJRbLy7v3LlzrcVERFRb+MJuorpFoQRMU1MTY8aMwc8//wwA0NPTg56eXrUGVlk9evSAsbEx7t69i0uXLsmsBbZ9+3YAgLu7uzLCqzDegiQiUi28JUs1QaFbkEZGRir3lJ62tjYCAgIAAAEBAVJzwcLCwnD16lX07NmzWp5YrEm8BUlERJXFBx7qHoVGwBwdHaUWNK0J+/btQ0hIiFRZXl4eunfvLvm+cOFCDB06VPJ9wYIFOHr0KOLj49GqVSv06tVL8mJwc3NzREZG1mjMRERERBWhUAK2ePFi9OnTB9HR0fD29q7umAAAaWlpSEhIkCoTBEGqLC0tTapeV1cXsbGxCA0NxebNm7Fr1y6YmprC29sbISEhKjdqJw9vQRIRUVWtir0jUxbg2lIJkVBpFErADh8+DBcXF/j5+WHlypVwdHSEpaWlzBpcIpEICxcuVCgwHx8f+Pj4VHo7PT09BAcHIzg4WKH9Kpu/vz/8/f2RlZUFY2NjZYdDRERENUChBCwoKEjy/xMTE0t98rAqCRgRERGRulIoAYuNja3uOIiIiIjeGAolYH369KnuOOh/OAeMiIioaq6lZMqUdWqiWtN6FFqGIjg4GCdPniyzzenTp+vsPCxl4jIURFQXcNkDoqpRKAELCgrCiRMnymxz6tQpLF68WJHuiYiIiNSawu+CLE9eXh40NGqseyIiIqI6S+EMqeSSE6/Ly8vD77//DktLS0W7f2NFRESgffv2Kr9iPxERESmuwpPwW7RoIfX922+/lbuyfGFhIf7991/k5ORg/PjxVY/wDcN1wIiIiNRfhROwoqIiyaiXSCSCIAgQBEGmXb169dChQwf07duXa4ARERERyVHhBCwpKUny/zU0NDB9+nQEBgbWRExEREREak2hdcDu3bsHExOTag6FiIiI6M2gUALWrFkzueX37t3D0aNHoaenh3fffRf6+vpVCu5NxIVYiag23Xn8QtkhEL2RFHoK8uuvv0arVq3w7NkzSdmJEyfQqVMnTJo0Cd7e3ujWrZtUPVUMF2IlIiJSfwolYDExMWjcuDFMTU0lZbNnz0ZRUREWL16MyZMn46+//sL3339fbYESERERqQuFbkH+/fffeO+99yTfHzx4gIsXL2LmzJlYsGABAODPP//Ejh07EBQUVC2BEhERkeJWxd6RKQtwbamESAhQcAQsIyNDahL+qVOnIBKJMGzYMElZ165dkZycXOUAiYiIiNSNQgmYpaUl7t+/L/l+5MgR6OjowMnJSVKWk5NT5mr5RERERG8qhW5BOjg4ICYmBvv27YOuri62bdsGFxcX6OjoSNr8/fffsLa2rrZA3xR8CpKIiEj9KTQC9vnnn6OgoAAeHh4YMGAAcnJyMH/+fEn98+fPERsbKzUiRhXDpyCJiIjUn0IjYF27dsXZs2fx008/AQBGjRqF7t27S+qvXLmC/v3748MPP6yeKImIiIjUiEIJGADY29vD3t5ebl3Pnj3Rs2dPhYMiIiIiUmcKJ2BiL168wF9//YXs7Gz06tWrOmIiIiIiUmsKzQEDil/OPXz4cJiamsLBwQGurq6SutOnT6N9+/Y4ceJEdcRIREREpFYUSsCSk5PRvXt37N+/H8OHD4ezszMEQZDUOzk54d9//8WWLVuqLVAiIiIidaHQLchFixbh2bNniIuLwzvvvIPFixfjzJkz/3WqpYVevXrh9OnT1RYoERGprm0XUpQdAlGdotAI2KFDh/Duu+/inXfeKbVN06ZN8c8//ygcGBEREZG6UmgELD09Hba2tuW2y83NVaR7IiJSQxwlI/qPwq8iunNH9qWer7t+/TqaNm2qUFBvsoiICLRv3x4ODg7KDoWIiIhqiEIJWP/+/bFnzx5cv35dbv3vv/+OY8eOYciQIVUK7k3ElfCJiIiq37WUTKmPsimUgC1YsAB6enro2bMnlixZIhkNO3DgABYuXIhBgwahQYMGmD17drUGS0RERKQOFJoDZmtri0OHDmHMmDFYsGABRCIRBEGAu7s7BEFA06ZNsX37dlhZWVV3vERERER1nsIr4Ts5OeH27dvYs2cPEhISkJ6eDiMjIzg5OWH48OHQ1tauzjiJiIiI1EaVXkWkpaWFd999F++++251xUNERESk9hR+FRERERERKUbhEbC8vDzs2rUL58+fR0ZGBgoLC2XaiEQibNiwoUoBqpLIyEj8+OOPuH79OnJyctC6dWvMmDEDY8eOlWoXFBSExYsXy2x/7969Cq2fRkREROpNoQTs/v376N+/P+7evSv1DsiS1C0BO3bsGDw8PLBs2TKYmppi586d8PLygpaWFjw9PaXaNmnSRGYpCQsLi9oMl4iIiFSUQgnY9OnTcefOHXh5ecHPzw9NmjSBllaVppPJuHjxIo4cOYJz584hISEBDx8+hI6ODnJycsrcLicnB6GhodiyZQuSk5NhZmaGQYMGITg4GE2aNKlSTJs2bZL6Pnv2bMTGxmLbtm0yCZimpiYaNWpUpf0RERGRelIoazp+/Djc3NwQHR1d3fFIhISEICYmplLb5OTkwM3NDfHx8bCyssLw4cORlJSEyMhI7N27F2fOnIGdnV21xpmRkQEbGxuZ8tTUVNjY2EAQBHTq1AkLFy4s892ZREREtW1VrPRbbQJcWyopkjePQglYUVERunTpUt2xSHF2doa9vT0cHBzg4OBQodGkJUuWID4+Hs7Ozjh8+DAMDAwAAGFhYZg5cyb8/PwQFxcnaZ+eno709PQy+zQyMkLDhg3l1kVHR+PChQtYtWqVVLmTkxN+/PFHtG3bFpmZmfjhhx/Qq1cvHDx4EP379y/3OIiIiEi9KZSAOTs74+bNm9Udi5S5c+dWqn1+fj5WrlwJoPh9iuLkCwBmzJiB6OhonDx5EhcvXkS3bt0AAOHh4XIny7/O29sbUVFRMuUxMTGYOHEi1q1bh65du0rVDR48WOp7r169cP/+fSxfvpwJGBFRDeCLvqmuUWgZiqVLlyI2Nhbbt2+v7ngUdurUKWRkZMDOzk7u6NyoUaMAAHv27JGUBQYGIj8/v8zPxo0bZfraunUrPD09sXbtWvj6+lYoPkdHRyQlJSl2cERERKRWFBoB27NnD1xdXeHp6Yk+ffqgS5cuMDY2lmknEomwcOHCKgdZEVeuXAEAmdEoMXG5uB0AaGhoQEOjcjno+vXrMWXKFERFRWHMmDEV3u7SpUty54oRESkTR46IlEOhBCwoKEjy/0+cOIETJ07IbVebCVhycjIAlPqko7hc3E4RYWFhmDNnDiIiIuDi4oLU1FQAxU88vr7ExMyZM+Hu7g5bW1tkZmZi3bp1iI2NLfOhgtzcXOTm5kq+Z2VlKRwnERERqTaFErDY2NjqjqPKXrx4AQCoX7++3Hp9fX2pdooIDw9HYWEhJk2ahEmTJknKmzVrJnV78eHDh/Dy8kJaWhqMjY3RqVMnHD16FH379i2179DQ0HLnoxEREZF6UCgB69OnT3XHUWXiBWFFIlGZ9VVR0TlcW7ZsqXTf8+fPx4wZMyTfs7KyeMuSiIhITVXv6qlKZGhoCADIzs6WW//y5UsAkHo6UpXo6OhAR0cHERERiIiIkPtqJyIiIlIPFUrAxPOmGjduDE1NzUrNo2ratKlikVWSeD8pKfInlIrLayseRfn7+8Pf3x9ZWVlyH2wgIiKiuq9CCZitrS1EIhFu3ryJ1q1bS76XRyQSoaCgoMpBVoS9vT0AIDExUW69uLxz5861Eg8RERFRaSqUgH388ccQiUSSERnxd1XSo0cPGBsb4+7du7h06ZLMWmDiNcvc3d2VEV6F8RYkERGR+qtQAlZyJXh5K8Mrm7a2NgICAvDVV18hICAAhw8fljz5GBYWhqtXr6Jnz55wcHBQcqRl4y1IIiIi9aeyk/D37duHkJAQqbK8vDx0795d8n3hwoUYOnSo5PuCBQtw9OhRxMfHo1WrVpJXACUkJMDc3ByRkZG1Fj8RERFRaVQ2AUtLS0NCQoJUmSAIUmVpaWlS9bq6uoiNjUVoaCg2b96MXbt2wdTUFN7e3ggJCakTyzrwFiQREZH6q1AC5ufnp1DnIpEIGzZsUGhbHx8f+Pj4VHo7PT09BAcHIzg4WKH9KhtvQRIREak/heaAVVRVEjAiIiIidVWhBOzevXs1HQf9D29BEhERqb8KJWDNmjWr6Tjof3gLkoiISP1pKDsAIiIiojeNyj4FSURERLVrVewdmbIA15ZKiET9cQSMiIiIqJYxAVMxERERaN++vcqv2E9ERESKYwKmYvz9/XHjxg2cP39e2aEQERFRDWECRkRERFTLmIARERER1TImYERERES1jAmYiuEkfCIiIvXHBEzFcBI+ERGR+mMCRkRERFTLmIARERER1TImYERERES1jAkYERERUS1jAqZi+BQkERGR+tNSdgAkzd/fH/7+/sjKyoKxsbGywyEiojfcqtg7Ut8DXFsqKRL1whEwIiIiolrGEbA6rrCwEPn5+coOo9oV5RXJlOXk5Cghkv+UjKk646nJvtWFIudI0euoIvuqSN/V1cZUu165+5fbJr8IIi0RRCKRTB0RKRcTsDpKEASkpqYiIyND2aHUCKFQkCm7l3FPCZH8p2RM1RlPTfatLhQ5R4peRxXZV0X6rq42nnaNZff/VCi3TdG/RRBEArQaaEGkxSSMSJUwAaujxMlXw4YNUb9+fbX7CzenQHbEQVdLVwmR/KdkTNUZT032rS4UOUeKXkcV2VdF+q6uNlrPMmXaWBjqSH1Pe54r06aBgTYeP3qMnIwcaJlrqd2/E0R1GROwOqiwsFCSfJmbmys7nBohFMiOCig7KSkZU3XGU5N9qwtFzpGi11FF9lWRvqurjWa9VzJtdHSlEzDNHDn96OnCvIE5Hj58CBQB0JRpQkRKwkn4dZB4zlf9+vWVHAkRqTot7eK/s4Ui2QSNiJSHCVgdxtsJRFQe0f/+B+ZfRCqFCRgRERFRLeMcMBUTERGBiIgIFBYWKjsUIvqfl3kFMmUi/vlKRFXABEzFVGUl/Pm/XauhqOQLHdmpVvf3pouKisK0adPUdukRIqI3Cf+Go1rj4+ODESNGyJSfOHECIpFIklicOHEC7498H81tmqOBcQM4dXPC1s1bZbZ79eoVFi1ahDZt2kBHRwcNGjTAqFGj8Mcff8jdf1BQEMaMGQMAsLW1hUgkkvksXbq02o7XxcWl1D6HDBkCkUiEoKCgKu8nKioK3bt3l9qnSCSCjo4OWrdujSVLlkiNqBYWFuLbb79F586doaurCxMTEwwePBinT5+W6dfExESq7ObNm2jSpAlGjhyJ3Nz/lj1ISUmBtrY22rZtKxOfj4+P3HMt/kRHR0u1l9dXUFAQ6terL/Up2U9SUhKCgoKkysRt3+r4lqQvFxcXTJs2rcLn99TvpzDq3RGws20KfZ162BMTI9NGEAR8GfwlrK2toaenBxcXF5nrMDc3FzM+m4EGDRpAX18fHh4eSElJkWrz7NkzjPMeB2NjYxgbG8PLy0sq4U5JToadhRluXPvvj63nz59joNtA9Hd2wsN/pPsjItXFBIxUTnx8PDp26ogtv2zBucRz8Pbxxie+n2DPnj2SNrm5uejXrx82btyIkJAQ/PXXX9i/fz8KCwvh5OSEs2fPyvS7e/duDB8+XPI9ODgYjx49kvpMmTKlWo/FxsYGkZGRUmUPHz7E8ePHYWVlVS37KHlc48ePx6NHj/Dnn39i6tSpWLBgAb755hsAxYnCmDFjEBwcjKlTp+LmzZuIi4uDjY0NXFxcsGvXrlL3c/78efTq1QsDBw7Er7/+Ch2d/5ZBiIqKwujRo/Hy5UuZRO7777+XOc+PHj1Cv3790KxZMwwdOlSqvby+Zs2ahb8f/C35NG7SWObnZ2NjAwDo0KGDpEzc/uiJowqf3+zsbHTq3Blh331fapuwb8Kw8ruVWLVqFc6fP49GjRqhf//+eP78uaTN7BmzsTtmN7Zu3YpTp07hxYsXcHd3l0qOfbx8cPXKVRw8eBAHDx7E5cuX4eXlVep+09LSMKjfILx48QK/7N0P68ZNFD5OIqpdTMBI5Xz++edYtHgRur/THS3sWuDTKZ+i/8D+2Llzp6TNd999hzNnzmDv3r0YPXo0mjVrBkdHR+zYsQPt2rXDuHHjIAj/Pfb14MEDXL9+HYMHD5aUGRoaolGjRlIffX19AMXJmbW1NZ4+fSppP+rdUejv2h9FRcWvgNmxYwc6dOgAHR0d2NraYsWKFTLH4u7ujqdPn0olJVFRURgwYAAaNmwo1fbZs2f4xOcTWFtYo379+hg8eDBu375d5rnKycnB4cOH4eHhISmrX78+GjVqBFtbWwQEBMDNzU2SWG3btg3bt2/Hjz/+iE8++QTNmzeHvb09fvjhB3h4eOCTTz5Bdna2zH6OHz+Ovn37wtfXFxs2bICm5n8LSgmCgMjISHh5eeHDDz/Ehg0bpLY1NjaWOc8bNmxAfHw8YmJi0KBBg3L7MjAwkNpeU1NT5ucnjklLS0tmf6/vo7IGDhqIRYuDMXzEu3LrBUHAqvBVmDN/DkaOHImOHTsiOjoaL1++xC9bfgEAZGZmIjoyGkuXLUW/fv3QpUsXbNq0CdeuXcPxY8cBALdu3sKRQ0cQsS4Czs7OcHZ2xvr167F37178fUf2Okh5kIL+rv1haGiIg0cPwkxN1wQkUldMwKhOyMrMgpmZmeT75s2b0b9/f9jb20u109DQwPTp03Hjxg1cuXJFUr5792707t1b5pZaab744gvY2trik08+AQCsXbsWp38/jQ1RG6ChoYHEi4kYPXo0xowZg2vXriEoKAgLFy5EVFSUVD/a2toYO3as1ChYVFQU/Pz8ZPY5YdwEJCYm4tedv+LMmTMQBAFDhgwp812fx44dQ6NGjdChQ4dS2+jp6Un62Lx5M1q3bo1hw4bJtJs5cyaePn2KI0eOSJXv3LkTQ4cOxRdffIHly5fLbBcbG4uXL1+iX79+8PLywrZt26RGfkrau3cvAgMDERUVJfPzq2xfqiDpXhIepz6GWz83SZmOjg769OmDhDMJAIBLiZeQn58Pt/7/tbG2tkbHjh1x9kzxaG3C2QQYGxvD0clR0qZ79+4wNjZG4rlzUvv8+85t9O3TF63btEbMvhgYGhrW5CESUQ1gAka1au/evTAwMJD6vD4qJc/OHTtx8cJF+Pr6Ssr++usvtGvXTm57cflff/0lKYuJiZG6TQcAc+fOlYnlxIkTAABNTU1s2rQJx44dw7x58zBz5kx8G/4tmjZrCgBY+d1KuLm5YeHChWjdujV8fHwQEBAgN0EZN24ctm3bhuzsbJw8eRKZmZkyt93u3L6DfXv2YfXa1ejRswfs7e3x888/459//inztqC84xIrKirCwYMHcejQIbi5uSl03l68eIH3338fs2fPxrx58+Rut2HDBowZMwaampro0KEDWrZsiV9++UVu21u3bmHs2LGYP38+3n///Sr1VZpr165Jfp4WJhawMLHA5AmTK9VHZTxOfQwAaGgpPaJpaWmJx48fS9poa2vD1NRUts3/tn/8+DEsGlrI9N+wYUOkPXkiVTY74FO0aNECW7ZtkboVTER1BxOwSoiMjISrqyssLCxgaGiIbt264eeff5bb9unTp5g8eTKsra0lt6jWrl1byxGrHldXV1y+fFnq83//93+ltj8ZdxITxk1AxNqIMkd5Xie+9SheqDYrKwtxcXFSt+kAYPbs2TKxODk5SepbtGiBb775Bl9//TWGDRuGMR+OkdTdunULPXr0kOqvR48euH37tswSIp07d0arVq2wfft2bNy4EV5eXqhXr55Um1u3bkFLSwsOTg6SMnNzc7Rp0wY3b94s9Tj37Nkjc1yrV6+GgYEBdHV14eHhgY8++giLFi0q85y97vUFfvX09NC/f3+sX79ebhwZGRn47bff8NFHH0nKPvroI2zcuFGmbWZmJkaMGIE+ffogJCSkSn2VpU2bNpKf59kLZ3H2wlkEhQRVqg9FlFwYWRAEoJy1kgVBkNpO3uLKJdsAQL9BgxF/Oh67ftulcLxEpFxchqISjh07Bg8PDyxbtgympqbYuXMnvLy8oKWlBU9PT0m7Fy9eoFevXmjcuDG2bNmCZs2a4dGjR2XeSnpT6Ovro2XLllJlJZ8EE/v95O8YNWIUli5firFeY6XqWrdujRs3bsjd7tatWwCAVq1aAQAOHDiAdu3aoVmzZlLtGjRoIBNLSSdPnoSmpiaSkpJQUFAALa3/vdZFzi/F1+ecleTn54eIiAjcuHED50rcTiprW3n7ETt37hzy8vLQs2dPqfKxY8fiiy++gI6ODqytraXma5V13sQJlvi8AcUjgbt27cJ7770HV1dXHD9+HO3bt5fUb968GTk5OVKJqyAIKCoqwo0bNyRti4qKMHbsWGhoaGDTpk1yj6m8vpq3bi437pK0tbUlP9dXBbLvUKxulo0sARSPcrWwaSEpf/LkCSwbWkra5OXl4dmzZ9Cz0JNq49C9OOm2tLTEk8fSI11A8UT7BhbSI2OTp83A293s4fuxLwRBwKjRo6r9uIioZqnsCNjFixexdOlSjBw5Eo0bN4ZIJIKubvkv0c3JycGiRYvQunVr6OrqwtraGn5+fqX+kq+MTZs2Yfr06XBwcEDLli0xe/ZsDBo0CNu2bZNqt3z5crx8+RJ79+5Fnz59YGtrC2dnZ/Tu3bvKMbwpTsadxEiPkQj+Khjjxo+TqR8zZgyOHj0qNc8LKP5F/+2336J9+/aS+UUxMTEyo0QV8csvv+C3337DiRMn8ODBA4R+FSqpa9euHU6dOiXVPj4+Hq1bt5ZKeMQ+/PBDXLt2DR07dpRKYF7vr6CgAOcTzkvKnj59WuYtw5iYGAwdOlRmf8bGxmjZsiVsbGxk6saMGYPbt29LPVEqtmLFCpibm6N///5S5To6Ovjtt9/g6OgIV1dXXL9+XVK3YcMGzJw5U2oU8cqVK3B1dZUauVqwYAFOnz6NmJgYGBkZyT2eivalamyb28KykaVkMj0A5OXlIS4uDk7Oxclkl65dUK9ePRw/+l+bR48e4fr16+juXLyEiFN3J2RmZuL8uf+ugYSEBGRmZqKr43/zwsTmfT4PgYsD4fuxL7Zt3SZTT0SqTWVHwEJCQhAjZ72dsuTk5MDNzQ3x8fGwsrLC8OHDkZSUhMjISOzduxdnzpyBnZ1dtcaZkZEhefxdbMeOHejZsyemT5+OnTt3wsjICEOHDkVISIjkKTsq3YkTJzDSYyQ+nfIpRowcgdTUVACAcX1jyUT86dOnIyYmBsOGDcOKFSvg5OSEx48fY8mSJbh58yaOHj0KkUiEgoICHDhwAEePyi5D8Pz5c0nfYvXr14eRkRFSUlIwefJkfP311+jZsyeioqIwdOhQDBw4EI7dHTF1+lT0cu6FkJAQeHp64syZM1i1ahVWr14t95hMTU3x6NEjmVuPYi1btYS7hzv8J/tjZcRKNDBtgHnz5qFx48alzvHavXs3Fi9eXOHzChQnYL/++iu8vb2xfPlyuLm5ISsrCxEREdi9ezd+/fVXudeotrY2duzYgdGjR6Nv3744duwYCgsLkZiYiJ9//llm/a8PPvgAX3zxBUJDQ7Fz504sXboUkZGRMDQ0lDnnBgYGuHPnTrl9BYYElnr+XldQUCDZh3gETCQSwdLSUtImLS0Nly9fltpO/MRkSS9evMCd2/cl35OS7uHKlcswNzeCTVMbiEQiBEwNwPKly9G+TXu0atUKS5YsQf369eH5QfHIuLGxMbx9vTFvzjxYNbSCmZkZZs2ahU6dOqGvW18AQNt2bdF/YH8ETArADz/8AACYMGEC3N3d0aJlK5m4AGDWnFnQ1NTEOJ9xWL5qNYaPkp1XR0SqSWUTMGdnZ9jb28PBwQEODg5y/2EsacmSJYiPj4ezszMOHz4MAwMDAEBYWBhmzpwJPz8/xMXFSdqnp6cjPT29zD6NjIxklgsQi46OxoULF7Bq1Sqp8rt37+LOnTvw9PTEnj178PDhQwQEBOCff/6p9ITiylCXlemjoqLw8uVLfPP1N/jm628k5X369JFMktfV1cXx48cRGhqKzz//HPfv34ehoSFcXV1x9uxZdOzYEQAQFxcHAwMDdOvWTWY/gYGBCAwMlCqbOHEi1qxZAx8fHzg6OiIgIAAA0L9/f0z6dBL8fPxw9sJZdOnaBdu2bUNgYCBCQkJgZWWF4OBg+Pj4lHpc5T2Bue7/1mH29Nl4b8R7yMvLQ+/evbF//365SYf4Ghs4cGCZfZYkEomwbds2fP/99/j222/h7+8PHR0dODs7IzY2VuZ25uvq1auHbdu24YMPPkDfvn0lo3nyFl8dMWIEJk+ejD179mDNmjUQBKHUc7No0SI8ffq03L727d2HEe+OKPcY//jjD5k11nR0dPDsxTPJ982bN2Pz5s0ycchbGDfxYiIG9Rsk+T5vzmwAwEdeH+GHjcWJ0oxZM/Dq1St8+umnePbsGZycnHD48GGppxOXrVgGLS0tjB49Gq9evYKbmxuioqKkRikjf4zErGmzMGDAAACAh4cHVq1ahfSC0m9vT585HZoampgd8CmKiorw7mjPUtsSkeoQCWVNXFEh4pW9c3Jy5Nbn5+ejYcOGyMjIQGJiIrp06SJVb29vj6tXr+LChQuSX8ZBQUHljiB4e3vLLC0AFN/+8fT0xJo1a6SezgMgWZX9/v37kjlD27dvx/vvv4/Hjx+XmtC9TvwqoszMTJlbNjk5Obh37x6aN29eoduydZG8uTt6WnpyWpZt6tSpKCgoKHVkqioxKRJPdfUdFhaGo0ePYv/+/dUWg6pT5Pwreh2V3O5JZpFMm4bGsjM4SvZdkf1XpM3f/z6TaWNlIv3f/qMM2X8brUx0kZuTi+SkZIjMRdDQlo15yb5bMmVU9xmIbGus7wDXsufO1hWdmlTudX8VVdbv79ep7AhYZZ06dQoZGRmws7OTSb4AYNSoUbh69Sr27NkjScACAwOxYMGCMvvV0JD9B2vr1q3w8fHB2rVr5f5Vb2VlBVtbW0nyBUDyBN/9+/crlIBR9ejYsSOcnZ2VHUa1a9KkCebPn6/sMIjoDbQq9o5MmbokZbVJbRIw8WTsrl27yq0Xl78+aVtDQ0NuglWW9evXY8qUKYiKipK8V7CkXr164cSJEygsLJTcXvjzzz8BFL+DUJ7c3Fypd+tlZWVVKi6Sb8KECcoOoUaMHj1a2SFQHZCbX4i8gkLkFxUh9WkubK0MlB0SEf2Pyj4FWVnJyckAikcG5BGXi9spIiwsDJMnT8b3338PFxcXpKamIjU1FWlpaVLtZs2ahSdPniAgIAB//vknYmNjMWvWLHz44YewsJBdaBEAQkNDJS/gNTY2lpnYT0REROpDbRKwFy9eACh+ik0e8ZNd4naKCA8PR2FhISZNmgQrKyvJx8HBQaqdvb099u/fjwsXLsDe3h6+vr4YPny45MkmeebPn4/MzEzJ58GDBwrHSURERKpNbW5Bllz9vLT6qkhKSqpwWzc3N5w/f778hv+jo6PDV4oQERG9IdRmBEz8uHd2drbc+pcvXwKAZGkKVRUREYH27dvLjKoRERGR+lCbBKxp0+KXJJe24r24XNxOVfn7++PGjRuVGj0jIiKiukVtEjDxa2cSExPl1ovLO3fuXGsxEREREcmjNglYjx49YGxsjLt37+LSpUsy9du3bwcAuLu713ZolcJbkEREROpPbSbha2trIyAgAF999RUCAgJw+PBhyZOPYWFhuHr1Knr27KnyiY2/vz/8/f0lK+lWxrWUzBqKSr6aWkWY5IuKisK0adOQkZGh7FCIiKiKVHYEbN++fejevbvkAwB5eXlSZfv27ZPaZsGCBXByckJ8fDxatWoFT09PdO/eHTNnzoS5uTkiIyOVcSj0Pz4+PhgxYoRM+YkTJyASiSSJxYkTJ/D+yPfR3KY5Ghg3gFM3J2zdvFVmu1evXmHRokVo06aN5PVPo0aNwh9//CF3/0FBQZLFc21tbSESiWQ+S5curbbjdXFxKbXPIUOGQCQSyX33YGVFRUVJ/hsR71P86q7WrVtjyZIlKCwslLQvLCzEt99+i86dO0NXVxcmJiYYPHgwTp8+LdNvyfdX3rx5E02aNMHIkSOlFg5OSUmBtra23Hc5+vj4yD3X4k90dLRUe3l9BQUFoX69+lKfkv0kJSUhKChIqkzc9q2Ob0n6cnFxwbRp0yp8fpd/vRwe/XqjQ7NG6NbWFuO9xuDu7b+k2giCgC+Dv4S1tTX09PTg4uIicx3m5uZixmcz0KBBA+jr68PDw0NmzuqzZ88wznucZD1ALy8vqYQ7JTkZdhZmuHHtmqTs+fPnGOg2EP2dnfDwH/lzYIlI9ahsApaWloaEhATJByj+R+71spILoOrq6iI2NhYLFy5E/fr1sWvXLiQlJcHb2xuXLl1Cy5aq/6oE3oIE4uPj0bFTR2z5ZQvOJZ6Dt483PvH9BHv27JG0yc3NRb9+/bBx40aEhITgr7/+wv79+1FYWAgnJyecPXtWpt/du3dj+PDhku/BwcF49OiR1GfKlCnVeiw2NjYyif/Dhw9x/PhxmRdGK6rkcY0fPx6PHj3Cn3/+ialTp2LBggX45pvil5oLgoAxY8YgODgYU6dOxc2bNxEXFwcbGxu4uLhg165dpe7n/Pnz6NWrFwYOHIhff/1VatmUqKgojB49Gi9fvpRJ5L7//nuZ8/zo0SP069cPzZo1w9ChQ6Xay+tr1qxZ+PvB35JP4yaNZX5+4sWLO3ToICkTtz964qjC5/f3k7/Da9wE7Dx0HD9t34PCggJ8/P5wqSeuw74Jw8rvVmLVqlU4f/48GjVqhP79++P58+eSNrNnzMbumN3YunUrTp06hRcvXsDd3V0qOfbx8sHVK1dx8OBBHDx4EJcvX4aXl5fcuHLzC/HPw1QMdBuE589f4Je9+2HdWP5C1ESkelQ2AfPx8YEgCGV+5L2HUU9PD8HBwbhz5w5yc3ORmpqKqKioOrOyPJ+CBD7//HMsWrwI3d/pjhZ2LfDplE/Rf2B/7Ny5U9Lmu+++w5kzZ7B3716MHj0azZo1g6OjI3bs2IF27dph3LhxUmu/PXjwANevX8fgwYMlZYaGhmjUqJHUR3zbOjg4GNbW1nj69Kmk/ah3R6G/a38UFRW/mHnHjh3o0KEDdHR0YGtrixUrVsgci7u7O54+fSqVlERFRWHAgAEy7wR99uwZPvH5BNYW1qhfvz4GDx6M27dvl3mucnJycPjwYXh4eEjK6tevj0aNGsHW1hYBAQFwc3OTJFbbtm3D9u3b8eOPP+KTTz5B8+bNYW9vjx9++AEeHh745JNP5C7lcvz4cfTt2xe+vr7YsGGD5BVbQHFSFxkZCS8vL3z44YfYsGGD1LbGxsYy53nDhg2Ij49HTEwMGjRoUG5fBgYGUttramrK/PzEMWlpacns7/V9VNbufbvx/gcfoXXb9mjfsROWr1yDf1Ie4FLiJUnMq8JXYc78ORg5ciQ6duyI6OhovHz5Er9s+QUAkJmZiejIaCxdthT9+vVDly5dsGnTJly7dg3Hjx0HANy6eQtHDh1BxLoIODs7w9nZGevXr8fevXvx9x3Z6yAlJQVD+g+EgaEBdh/cBzNzc4WPkYhqn8omYESvy8rMgpmZmeT75s2b0b9/f8nTr2IaGhqYPn06bty4IfXez927d6N3794yt9RK88UXX8DW1haffPIJAGDt2rU4/ftpbIjaAA0NDSReTMTo0aMxZswYXLt2DUFBQVi4cCGioqKk+tHW1sbYsWOlRsGioqLg5+cns88J4yYgMTERv+78FWfOnIEgCBgyZAjy8/NLjfPYsWNo1KiR5GXv8ujp6Un62Lx5M1q3bo1hw4bJtJs5cyaePn2KI0eOSJXv3LkTQ4cOxRdffIHly5fLbBcbG4uXL1+iX79+8PLywrZt26RGfkrau3cvAgMDERUVJfPzq2xfyvD8f+9pNTU1BQAk3UvC49THcOvnJmmjo6ODPn36IOFM8ej9pcRLyM/Ph1v//9pYW1ujY8eOOHumeLQ24WwCjI2N4ejkKGnTvXt3GBsbI/HcOakY/r5zG4P69ker1q2xPWanZB1EIqo7mICpGHW/Bbl3714YGBhIfV4flZJn546duHjhInx9fSVlf/31F9q1aye3vbj8r7/+m6cTExMjdZsOAObOnSsTy4kTJwAAmpqa2LRpE44dO4Z58+Zh5syZ+Db8WzRtVryO3MrvVsLNzQ0LFy5E69at4ePjg4CAALkJyrhx47Bt2zZkZ2fj5MmTyMzMlLntduf2Hezbsw+r165Gj549YG9vj59//hn//PNPmbcF5R2XWFFREQ4ePIhDhw7Bzc1NofP24sULvP/++5g9ezbmzZsnd7sNGzZgzJgx0NTURIcOHdCyZUv88ssvctveunULY8eOxfz58/H+++9Xqa/SXLt2TfLztDCxgIWJBSZPmFypPkojCAK+XDgfDt2d0aFjcdL7OPUxAKChpfSIpqWlJR4/fixpo62tLUnapNr8b/vHjx/DoqHsu2IbNmyItCdPpMpmB3yK5i2a48ctP/MNGkR1FBMwFaPutyBdXV1x+fJlqc///d//ldr+ZNxJTBg3ARFrI8oc5XldyddSZWVlIS4uTuo2HQDMnj1bJhYnJydJfYsWLfDNN9/g66+/xrBhwzDmwzGSulu3bqFHjx5S/fXo0QO3b9+WmtMDFK8916pVK2zfvh0bN26El5cX6tWrJ9Xm1q1b0NLSgoPTf4m3ubk52rRpg5s3b5Z6nHv27JE5rtWrV8PAwAC6urrw8PDARx99hEWLFpV5zl73+uu89PT00L9/f6xfv15uHBkZGfjtt9/w0UcfSco++ugjbNy4UaZtZmYmRowYgT59+iAkJKRKfZWlTZs2kp/n2QtncfbCWQSFBFWqj9IEzp2BmzeuI/yHKJm6kq9BEwQBkP9mNKk2r28n71VqJdsAQL9Bg3E2/gx274qpePBEpFLUZhkKqhv09fVlHoYo7e0Fv5/8HaNGjMLS5Usx1musVF3r1q1x48YNudvdunULANCqVSsAwIEDB9CuXTs0a9ZMql2DBg3KfTDj5MmT0NTURFJSEgoKCqClVfyfjLxfimW9b9TPzw8RERG4ceMGzpW4nVTWtvL2I3bu3Dnk5eWhZ8+eUuVjx47FF198AR0dHVhbW0vN1yrrvIkTLPF5A4pHAnft2oX33nsPrq6uOH78ONq3by+p37x5M3JycqQSV0EQUFRUhBs3bkjaFhUVYezYsdDQ0MCmTZvkHlN5fTVv3Vxu3CVpa2tLfq6vCl5VaJuKWDRvJo4e3I9tew7ByrqxpNyykSWA4lGuFjYtJOVPnjyBZUNLSZu8vDw8e/YMehZ6Um0cuhcn3ZaWlnjyWHqkCyh+IKmBhfTI2ORpM9Dlrc6Y4Fs813HkqPeq7TiJqHZwBIxU0sm4kxjpMRLBXwVj3PhxMvVjxozB0aNHpeZ5AcW/6L/99lu0b99eMr8oJiZGZpSoIn755Rf89ttvOHHiBB48eIDQr0Ilde3atcOpU6ek2sfHx6N169ZSCY/Yhx9+iGvXrqFjx45SCczr/RUUFOB8wn8jn0+fPi3zlmFMTAyGDh0qsz9jY2O0bNkSNjY2MnVjxozB7du3pZ4oFVuxYgXMzc3Rv39/qXIdHR389ttvcHR0hKurK65fvy6p27BhA2bOnCk1injlyhW4urpKjVwtWLAAp0+fRkxMDIyMjOQeT0X7qm2CICBw7gwc3Lsbm3fug00zW6l62+a2sGxkKZlMDxQvmRMXFwcn5+JkskvXLqhXrx6OH/2vzaNHj3D9+nV0dy5eQsSpuxMyMzNx/tx/10BCQgIyMzPR1fG/eWFis+bNweeBCzDBdxy2b/u1Og+ZiGoBR8BUTEREBCIiImRuY71JTpw4gZEeI/HplE8xYuQIpKamAgCM6xtLJuJPnz4dMTExGDZsGFasWAEnJyc8fvwYS5Yswc2bN3H06FGIRCIUFBTgwIEDOHpUdhmC58+fS/oWq1+/PoyMjJCSkoLJkyfj66+/Rs+ePREVFYWhQ4di4MCBcOzuiKnTp6KXcy+EhITA09MTZ86cwapVq7B69Wq5x2RqaopHjx7J3HoUa9mqJdw93OE/2R8rI1aigWkDzJs3D40bNy51jtfu3buxePHiCp9XoDgB+/XXX+Ht7Y3ly5fDzc0NWVlZiIiIwO7du/Hrr79KngR9nba2Nnbs2IHRo0ejb9++OHbsGAoLC5GYmIiff/5ZZv2vDz74AF988QVCQ0Oxc+dOLF26FJGRkTA0NJQ55wYGBrhz5065fQWGBJZ6/l5XUFAg2Yd4BEwkEsHS0lLSJi0tDZcvX5baTvzEZEnTpkzDzl+3Yf1PW6FvYIgn/5vXZahtAj09PYhEIgRMDcDypcvRvk17tGrVCkuWLEH9+vXh+YEngOKk2NvXG/PmzINVQyuYmZlh1qxZ6NSpE/q69QUAtG3XFv0H9kfApAD88MMPAIAJEybA3d0dLVq2kokLAKbPmglNTU1MGjcey1flY/go2Xl1RKSamICpmKqshK8uK9NHRUXh5cuX+Obrb/DN199Iyvv06SOZJK+rq4vjx48jNDQUn3/+Oe7fvw9DQ0O4urri7Nmz6NixIwAgLi4OBgYG6Natm8x+AgMDERgYKFU2ceJErFmzBj4+PnB0dERAQAAAoH///pj06ST4+fjh7IWz6NK1C7Zt24bAwECEhITAysoKwcHBcpdGESvvCcx1/7cOs6fPxnsj3kNeXh569+6N/fv3y0067t69izt37mDgwIFl9lmSSCTCtm3b8P333+Pbb7+Fv78/dHR04OzsjNjYWJnbma+rV68etm3bhg8++AB9+/aVjObJW3x1xIgRmDx5Mvbs2YM1a9aUumwMACxatAhPnz4tt699e/dhxLsjyj3GP/74Q2aNNR0dHTx78UzyffPmzdi8ebNMHPIWxl2/bj0AYMxw6YdF1v3fOnh5F6/RNWPWDLx69Qqffvopnj17BicnJxw+fFjq6cRlK5ZBS0sLo0ePxqtXr+Dm5oaoqCipUcrIHyMxa9osDBgwAADg4eGBVatWIb2g9NvbU6dPg6amJmYHfIqioiK8O9qzrNNDRCpCJJQ1cYWURpyAZWZmytyyycnJwb1799C8eXPo6uoqKcKaJW/ujp6WnpyWZZs6dSoKCgpKHZmqSkyKxFNdfYeFheHo0aPYv39/tcWg6hQ5/4peRyW3e5JZJNOmobHsDI6SfVdk/xVp8/e/z2TamOlLJ+bp2bLLlZjp10Nebi4eJD9AqkYubK0MZNos2XdLpozqPgORba3uL8BV9Rc6L6mmBi3K+v39Oo6AkVrr2LEjnJ2dlR1GtWvSpAnmz5+v7DCIiEhBTMBIrU2YMEHZIdSI0aNHKzsEIiKqAj4FqWLUfSFWIiIiYgKmctR9IVYiIiJiAkZERERU65iAERGpqfTsfGS+KsDL3EIcuP5Y2eEQ0WuYgBERERHVMiZgRERERLWMCRgRERFRLeM6YCqmKu+C/OPpHzUQUek6mHeo1f29yYKCgrBr1y6Z9xcSEVHdxBEwFaPuy1CkpqZiypQpaNGiBXR0dGBjY4Nhw4bh2LFjkja2trZY9f0qmW2DgoLw1ltvye1369atEIlEGDFihNx6Hx8fzJs3D0Dx+xDlfbZu3Vrl4xOztbUttc8OHTpAJBIhKiqqyvsJCgpCv3790KhRIyxZskSmfvTo0XBwcECTJk1KPW6RSAQXFxcAxe/CtLOzg56eHiwsLDB8+HDcuiX/VTW5ubl46623IBKJpBLDEydOQCQSISMjo9LH89lnn6Fbt27Q0dEp9Wd9/dp1DOg7AHp6emjcuDGCg4NR3hvVvg79Gq69XGFuZF7qOzmTk5MxbNgw6Ovrw6aRDWZOm4m8vDypNrduXMfoYQPRpkkD2DWzw5Ivl8jsOy4uDt26dYOuri7at24veZek2BcLA9HZ3h4v8wrwMq8AAHD61GlYNbDCjM9mlHssRKQeOAJGtSYpKQk9evSAiYkJli1bhs6dOyM/Px+HDh2Cv79/qb/oy3P//n3MmjULvXr1kltfVFSEffv2Yffu3ZKyyMhIDBo0SKpdeS/LriwbGxtERkZizJgxkrKzZ88iNTUV+vr61bKP3bt3Y/bs2dDX18f777+PYcOGoVOnTgCA7du3Y8+ePUhMTESDBg0ko6rx8fF477338Oeff0reU6atrQ0A6NatG8aOHYumTZsiPT0dQUFBGDBgAO7duyf10mgAmDNnDqytrXHlypVqORYAEAQBfn5+SEhIwNWrV2Xqs7Ky4D7YHX1c+uD8+fP466+/4OPjA319fcycObPUfvPy8jDyvZFw6u6E6MhomfrCwkIMHToUFhYWOHXqFB4+eYjxfuMhCALCvg8DADx/noWPRnnAuUdv7D4Sh6eP7mLiuInQ19fHZ9M/AwDcu3cPQ4YMwfjx47Fp0ybEnozFtCnTYGFhgREjR8iN7cD+A/hozEeYNnMaFi5aqMBZI6K6iCNgVGs+/fRTiEQinDt3DqNGjULr1q3RoUMHzJgxA2fPnlWoz8LCQowdOxaLFy9GixYt5LY5ffo0NDQ04OTkJCkzMTFBo0aNpD7iF5v7+fmhc+fOyM3NBQDk5+ejW7du8PXylWz/w9ofYGdnB21tbbRp0wY//fSTzH7Hjh2LuLg4PHjwQFK2ceNGjB07Flpa0n/7PEh+gPdHvg8LEwtYmlli9OjRePy47GUDHjx4gOvXr2Pw4MHw8PDAhx9+iI8//hj5+flIS0vDp59+itDQULRr1w4WFhaS4zQzMwMANGzYUKZswoQJ6N27N2xtbdG1a1d8+eWXePDgAZKSkqT2feDAARw+fBjffPONVHlSUhJcXV0BAKamphCJRPDx8QFQPGI2depUNGzYELq6uujZs6fMSG94eDj8/f1L/Vlu3bwVuTm5+GHDD+jYsSNGjhyJzz//HGFhYWWOHC1ctBBTpk1Bh47yb5sfPnwYN27cwKZNm9ClSxf0deuLpcuWInJDJLKysgAAu379Bbk5ufhm1Tq0adcBI94dgdnzZiP8u3DJvteuXYumTZviu+++Q7t27eA7zhcf+3yM78K+k7vfX7ZuwQfvf4CQr0IqnXylZ+dLfYiobmECRrUiPT0dBw8ehL+/v9zRH0VHn4KDg2FhYYFx48aV2mb37t0YNmwYNDQqdrmHh4cjOztbcsty4cKF+Pfff/Hdqu8AADG7YjB7xmzMnDkT169fx8SJE+Hr64vY2FipfiwtLTFw4EBERxePuLx8+RK//PIL/Pz8pNoJgoDR743Gs/RnOHTsEPYc2IO7d+/C09OzzDh3796N3r17S87d999/j/T0dISEhODTTz9Fx44d8dlnn1XomOXJzs5GZGQkmjdvDhsbG0n548ePMX78ePz000+oX7++1DY2NjbYsWMHAODPP//Eo0eP8P333wMoHjHbsWMHoqOjkZiYiJYtW2LgwIFIT0+vcEznzp5Dz949oaOjIykbOHAgHj58KJMkVsaZM2fQsWNHWFtbS8r6DeiH3NxcXEq8BAC4dOEcnN6R3ne//v3w6OEj3E+6L+lnwIABUn33G9APiRcTkZ8vnSStW7Mak8Z/gjU/rMGnUz5VOHYiVbAq9o7Uh8rHW5BUK+7cuQNBENC2bdsKtV/w+QIsXrRYqiwvLw/t27eXfD99+jQ2bNhQ7sT03bt3y4zUfPDBBzK31K5evYoWLVrAwMAAmzZtQp8+fWBoaIgVK1bg2LFjMDY2BgB8H/Y9Pvr4I3z6afEvTfEI3jfffCMZ/RHz8/PDzJkz8cUXX2D79u2ws7OTmdt09OhRXL92HTdv30QTmyYAgJ9++gkdOnTA+fPnS30vaExMDIYPHy75bmRkhMjISAwYMAD6+vq4evUqRCJRmedGntWrV2POnDnIzs5G27ZtceTIEcktSkEQ4OPjg0mTJuHtt9+WSXo0NTWlRtjEyWF2djbWrFmDqKgoDB48GACwfv16HDlyBBs2bMDs2bMrFNvjx4/RtFlTqTJLS0sAxfMLmzdvXunjFW8r7kfM1NQU2traeJz6GO0ApD15jCY20vtuaNmwOK7Ux7Btbiu3H8uGligoKMC///4LKysrAMCft25hxrTPsHrdD/hg7AcKxUxEdRtHwKhWiG/RVDQhmDZzGs5eOCv1mTRpkqT++fPn+Oijj7B+/Xo0aNCg1H5u3ryJlJQU9OvXT6r822+/xeXLl6U+r4/yODs7Y9asWQgJCcHMmTPRu3dvSd2ft/6E8zvOUv316NEDN2/elNn/0KFD8eLFC5w8eRIbN26UGf0Sx9jEpokk+QKA9u3bw8TERG6fQPFcqLi4OHh4eEiV9+3bF927d4eXlxeaNWtW6nkpy9ixY3Hp0iXExcWhVatWGD16NHJycgAAK1euRFZWFubPn1+pPu/evYv8/Hz06NFDUlavXj04OjqWeoylKXkNVfbaqmi/4r6lyiuw74rE17hxE7zVpQu+W7ECjx49qlLcRFQ3cQSMakWrVq0gEolw8+bNUp9UfF0D8wawa2knVSYeWQGKf6EnJSVh2LBhkrKioiIAgJaWFv7880/Y2dlh9+7d6N+/P/T09KT6atSoEVq2bFnq/ouKinD69Gloamri9u3bMvXyfsnK+wWupaUFLy8vLFq0CAkJCdi5c6dMm9K2La0cKJ6D1a5dO7lJlpaWlswcs8owNjaGsbExWrVqhe7du8PU1BQ7d+7EBx98gOPHj+Ps2bNSt+EA4O2338bYsWMlt1vlHQtQ8fNWGktLS5m5cU+ePJHUKapRo0ZISEiQKnv27Bny8/Mlo1wWDS2R9r99iaU9SQPw30hYo0aNkJqaKh1f2hNoaWnB3NxcUmZgaIC9Bw7BY+hgDOo3CAeOHJC6/UlE6o8jYFQrzMzMMHDgQERERCA7O1umvrJLFrRt2xbXrl2TGsHy8PCAq6ur1GhWTEyMzChRRSxfvhw3b95EXFwcDh06hMjISEldm7ZtEH86Xqp9fHw82rVrJ7cvPz8/xMXFYfjw4TA1NZWpb9++PR4kP0DKgxRJ2Y0bN5CZmVlqn4oelyIEQZA8kBAeHo4rV65Izvn+/fsBAL/88gu++uorAP89Ufn6WnYtW7aEtrY2Tp06JSnLz8/HhQsXSj1GeRy7O+L076elloc4fPgwrK2tYWtrq/AxOjs74/r161KjUceOHIOOjg66dO0CAOjytiPOnZHe97Gjx2BlbYVmts0k/Rw5ckSq72NHjqFrt66oV6+eVLmpqSn2HjgEExMTDOo3CP/884/C8RNR3cMETMVERESgffv2pc77qctWr16NwsJCODo6YseOHbh9+zZu3ryJ8PBwODs7l9/Ba3R1ddGxY0epj4mJCQwNDdGxY0doa2vjyZMnOH/+PNzd3WW2z8jIQGpqqtRHnBhevnwZgYGB2LBhA3r06IHvv/8en332Ge79fQ9A8e3RTT9uwtq1a3H79m2EhYXht99+w6xZs+TG2q5dO/z7779SSdzr+vXrh46dOsL3Y19cSryE8+fO4+OPP0afPn3w9ttvy7QvKCjAgQMHpOZ/VYe///4boaGhuHjxIpKTk3HmzBmMHj0aenp6GDJkCACgadOmUue8devWAAA7Ozs0aVJ8C7VZs2YQiUTYu3cv0tLS8OLFC+jr62Py5MmYPXs2Dh48iBs3bmD8+PF4+fKl1AMUd+7cweXLl5GamopXr15JEj1x0uP5gSe0dbQxYdwEXL9+HTt37sSSJUswY8aMMkfSHiQ/wJXLV/DgwQMUFhZK+n3x4gUAYMCAAWjfvj28vLxw6dIlxB6Pxfy58+E7zleyVMfwUaOhraONWQET8efNPxCzKwbLly7H1GlTJfueNGkS7t+/jxkzZuDmzZuIjoxGdGQ0ps2YJjcuY2Nj7DmwB+bm5hjUbxBSUlLktiMi9cNbkCrG398f/v7+yMrKkkz6rihVX5m+efPmSExMxFdffYWZM2fi0aNHsLCwQLdu3bBmzZpq39+ePXvg5OSEhg0bytT5+vrKlIWGhmLatGkYO3YsfHx8JLc3x40bh3379mGczzgciT0Cj+EeWB62HMuXL8fUqVPRvHlzREZGShYzlef1208liUQibNuxDTOmzcCAvgOgoaGBQYMGYeXKlXLbx8XFwcDAAN26dSvnDFSOrq4ufv/9d3z33Xd49uwZLC0t0bt3b8THx8s9h6Vp3LgxFi9ejHnz5sHX1xcff/wxoqKisHTpUhQVFcHLywvPnz/H22+/jUOHDkmNCn7yySeIi4uTfO/SpXj06d69e7BsYgljY2PsPbAX06dOx9tvvw1TU1PMmDEDM2bMKDOmkKAQbPppk0y/sbGxcHFxgaamJvbt24dPP/0UPXr0gJ6eHkaPGY3QZaGSbYyMjLFp+24EzpmBYf16w9TUBFOmTcHUaVMlbZo3b479+/dj+vTpiIiIgJW1Fb759ptS1wAr7tcIu/fvxgj3ERjUbxAOHjmIVs1bVexkE1GdJRK47LJKEidgmZmZkr/AxXJycnDv3j00b95csnaVunlV8EqmTE9LT07L0nl4eKBnz56YM2dOjcRU2Xiqq++pU6eioKAAq1evrrb91wWKnH9Fr6OS2z3JLJJp09BY9gZCyb7l7V8okr4VKdKQXcOrZD9///us9GDLUZifh9SUFPxy9x9M7m8nU79kn2ILIJNqMxDZKnX/Aa6lz7FVFZ2aVG6Qo6LK+v39Oo6Akdrq2bMnPvhA/R7x79ixY6Vv2RIRkWphAkZqq7pGvlTNhAkTlB0CERFVESfhExEREdUyJmBEREREtYwJWB0mXniUiKhUAiD8739EpDo4B6wSIiMj8eOPP+L69evIyclB69atMWPGDIwdO1aqnYuLi9Sj9GIikQipqamVeqRfHm1tbWhoaODhw4ewsLCAtrZ2lV/DompyC3JlykRayj3GkjFVZzw12be6UOQcKXodldyuIE/2j53cHNm/X0v2LW//T59LPxlpblh+P4X5eTJtKkQAXj3PxKv8AmQXFJbfnohqDROwSjh27Bg8PDywbNkyyetZvLy8oKWlBU9PT0m73377TWq1bAAYNGgQLCwsqpx8AYCGhgaaN2+OR48e4eHDh1XuTxXlF8o+ml9Ps56clrWnZEzVGU9N9q0uFDlHil5HJbfLeiU7epStJ5vIlexb3v5L9lWRfv598bL0YMsgQMCr/AIc+edf5BdxBIxIlahsAnbx4kUcOXIE586dQ0JCAh4+fAgdHR3JS4FLk5OTg9DQUGzZsgXJyckwMzPDoEGDEBwcLFmpW1GbNm2S+j579mzExsZi27ZtUgnY6+8sBIpXVr9y5Qp27NhRpf2/TltbG02bNkVBQYHUK1/Uxe1nsu9fbG7aXAmR/KdkTNUZT032rS4UOUeKXkclt9t9UjaR8uqtXW7f8vZfsq+K9BOx63DpwZZBgIDsgkImX0QqSGUTsJCQEMTExFRqm5ycHLi5uSE+Ph5WVlYYPnw4kpKSEBkZib179+LMmTOws5NdiLAqMjIyJO8dLM2aNWtgbW1d7e/uE4lEqFevnsw75tSBhrbsbRllLzpbMqbqjKcm+1YXipwjRa+jkttlyrkDWJG+5bUp2VdF+nmWJ5sAElHdprIJmLOzM+zt7eHg4AAHBwc0atSo3G2WLFmC+Ph4ODs74/DhwzAwMAAAhIWFYebMmZKXIoulp6cjPT29zD6NjIxKvW0YHR2NCxcuYNWqVaVun5WVhc2bN2PmzJnQ0lLZ001ERES1SGUzgrlz51aqfX5+vuTdeREREZLkCwBmzJiB6OhonDx5EhcvXpS8Qy88PByLFy8us19vb29ERUXJlMfExGDixIlYt24dunbtWur2P/30E169eoXx48dX6niIiIhIfanNMhSnTp1CRkYG7OzsJC/afd2oUaMAFL+gWSwwMBD5+fllfjZu3CjT19atW+Hp6Ym1a9fKfanz69auXQsPDw80bty4ikdIRERE6kJlR8Aq68qVKwBQ6miUuFzcDih+mlBDo3I56Pr16zFlyhRERUVhzJgxZbb9/fffcf36dYSFhZXbb25uLnJz/3tkPTMzE0DxLcw30YvnL2TKsuop91yUjKk646nJvtWFIudI0euo5HZ5r2Qf/nnxvKDcvuXtv2RfFekn/5ViT0GWJC+e6uqbVEueSPZnXZtePFf9f8OysmpmuR/x721BKPvhF7VJwJKTkwGg1CcdxeXidooICwvDnDlzEBERARcXF6SmpgIANDU1YWFhIdN+zZo1aNmyJfr161du36GhoXJvh5Y3wZ+IlCNKxfqpiF9rcV/0ZotSdgAq4Pnz5zA2Ni61Xm0SsBcvirP9+vXry63X19eXaqeI8PBwFBYWYtKkSZg0aZKkvFmzZkhKSpJqm5aWhh07duCrr76q0CKp8+fPx4wZMyTfi4qKkJ6eDnNz82pZZNXBwQHnz5+vcj9V6auy21W0fUXaldemtPqsrCzY2NjgwYMHMDIyKj9oFVGdP+/a2k9V+lLWtcXrSvX3VRevq/La8LpSjX2V1pcgCHj+/Dmsra3L3F5tEjDxUF9pyUp5Q4EVUTLJKouFhYXULcXy6OjoQEdHR6rMxMSkwtuXR1NTs9r+g1S0r8puV9H2FWlXXpvy6o2MjOrUP2jV+fOurf1UpS9lXVu8rlR/X3XxuiqvDa8r1dhXWX2VNfIlpjaT8A0NDQEA2dnZcutfviye5/D605FvEn9/f6X3VdntKtq+Iu3Ka1Od50cV1NbxqMJ1pci21XVt8bpS/X3VxeuqvDa8rlRjX1XtSyRUx9BQLRCJRGWuhP/dd99h+vTpeP/997Ft2zaZ+n379sHd3R0jRozAzp07azpcUhNZWVkwNjZGZmZmnfqLklQbryuqCbyu6ha1GQGzt7cHACQmJsqtF5d37ty51mKiuk9HRweLFi2SuT1MVBW8rqgm8LqqW9RmBCwvLw8NGzZEZmYmEhMTZdYCs7e3x9WrV3Hu3Dk4ODjURshEREREcqnNCJi2tjYCAgIAAAEBAVJzwcLCwnD16lX07NmTyRcREREpncqOgO3btw8hISGS7wkJCRCJRHB0dJSULVy4EEOHDpV8z8nJgYuLCxISEmBlZYVevXrh/v37SEhIgLm5Oc6ePYuWLVvW6nEQERERlaSyy1CkpaUhISFBqkwQBKmytLQ0qXpdXV3ExsYiNDQUmzdvxq5du2Bqagpvb2+EhIRwUVMiIiJSCSo7AkZERESkrtRmDhiRMkVGRsLV1RUWFhYwNDREt27d8PPPPys7LKrjtm/fDkdHR5iZmUFXVxctW7bEggULkJeXp+zQSI0cO3YMmpqasLW1VXYobxSVvQVJVJccO3YMHh4eWLZsGUxNTbFz5054eXlBS0sLnp6eyg6P6igzMzPMmTMH7dq1g76+Pi5duoSJEyciKysL4eHhyg6P1MDDhw/h7e2NAQMG4ObNm8oO543CW5Ck9i5evIgjR47g3LlzSEhIwMOHD8tc0kQsJycHoaGh2LJlC5KTk2FmZoZBgwYhODi41Je+v27IkCHQ09PDjh07qutQSIUo67qaPn06jh49imvXrlXXoZCKqa1rq7CwEH379oW7uzuys7MRFRVVqVfuURUJRGpu+PDhAgCpj46OTpnbvHr1SnjnnXcEAIKVlZUwevRowdHRUQAgWFhYCHfu3Cl3v87OzsKECROq6zBIxSjjurpx44bQpk0bYcqUKdV5KKRiauvamjNnjjB48GChqKhIWLRokdCsWbMaOiKShwkYqb2lS5cKgYGBwp49e4TU1NQK/WO2cOFCAYDg7OwsPH/+XFK+YsUKAYDQu3fvMrePiooS6tWrJ1y8eLFajoFUT21eV/r6+oK2trYAQJg4caJQUFBQrcdCqqU2rq29e/cKjRs3Fp48eSIIgsAETAmYgNEbp7x/zPLy8gQTExMBgJCYmChT37lzZwGAcOHCBbnb79q1S9DR0RE2btxYbTGT6qvJ6+r27dvC1atXhY0bNwoNGzYUAgMDqzV2Um3VfW09ePBAsLCwEGJjYyVtmIDVPj4FSVTCqVOnkJGRATs7O5lXWgHAqFGjAAB79uyRqdu6dSs8PT2xdu1a+Pr61nisVHdU5bpq2bIlOnXqBF9fXyxbtgxffvml1Ns+6M1W2WvrwoULSEtLQ79+/aClpQUtLS0EBwfj/v370NLSwsaNG2s1/jcVn4IkKuHKlSsAgK5du8qtF5eL24mtX78eU6ZMQVRUFMaMGVOzQVKdo+h1JY8gCMjPz6++4KhOq+y15ebmJvMQx+rVqxETE4NDhw6hcePGNRgtiTEBIyohOTkZAEp9Ik1cLm4HFL9vdM6cOYiIiICLiwtSU1MBAJqamrCwsKjhiKkuUOS6CgkJgZOTE1q0aAFBEHDu3DnMnTsXw4cPh4mJSY3HTHVDZa8tQ0NDdOzYUapNw4YNUa9ePZlyqjlMwIhKePHiBQCgfv36cuv19fWl2gFAeHg4CgsLMWnSJEyaNElS3qxZMz7WTQAUu65evXqFKVOm4MGDB9DS0oKtrS2mT5+OqVOn1nzAVGcocm2R8jEBIypB+N/SeCKRqMz61zHJovIocl0tWbIES5YsqdG4qO5T5NoqKSgoCEFBQdUZFpWDk/CJSjA0NASAUic5v3z5EgBgYGBQazFR3cfrimoKr626iQkYUQlNmzYFAKSkpMitF5eL2xFVBK8rqim8tuomJmBEJdjb2wMAEhMT5daLyzt37lxrMVHdx+uKagqvrbqJCRhRCT169ICxsTHu3r2LS5cuydRv374dAODu7l7boVEdxuuKagqvrbqJCRhRCdra2ggICAAABAQESM2rCAsLw9WrV9GzZ084ODgoK0Sqg3hdUU3htVU3iYSKPB5BVIft27cPISEhku8JCQkQiURwdHSUlC1cuBBDhw6VfM/JyYGLiwsSEhJgZWWFXr164f79+0hISIC5uTnOnj2Lli1b1upxkGrhdUU1hdfWG0JZ70Aiqi2RkZECgDI/kZGRMtu9fPlSWLhwoWBnZydoa2sLlpaWgre3t5CcnFz7B0Eqh9cV1RReW28GjoARERER1TLOASMiIiKqZUzAiIiIiGoZEzAiIiKiWsYEjIiIiKiWMQEjIiIiqmVMwIiIiIhqGRMwIiIiolrGBIyIiIioljEBIyIiIqplTMCIiIiIahkTMCIiIqJaxgSMiIiIqJYxASMiUnO//fYb+vfvDzMzM4hEIiQlJSk7JKI3HhMwIiI1l52djV69euGrr75SdihE9D9MwIiIKqCoqAj29vYYMmSIskOpNC8vLwQGBsLV1bXUNnfu3IGWlhZWr15di5ERvbmYgBGRWkpKSoJIJCrz89Zbb1W4v6ioKFy9ehVBQUE1FrMytWzZEmPHjkVQUBCysrKUHQ6R2tNSdgBERDXJzs4OH330kdy6Ro0aVaiPwsJCLF68GH369IGjo2N1hqdSZs+ejR9//BHh4eFYsGCBssMhUmtMwIhIrbVs2bLKo1b79+9HcnIyAgMDqyeoKlqwYEG587kEQah0vx07doS9vT3Wr1+Pzz//HBoavElCVFP4XxcRUTmioqIgEonw3nvvldrm999/x7vvvgtLS0vo6OjAxsYGI0eOxKlTpwAAJ06cgEgkQlBQEOLj4+Hq6gpDQ0NYWFjg008/xatXrwAABw8eRI8ePaCvrw9LS0vMnTsXhYWFUvuaNWsW7t27V+ZHUaNHj0ZycjKOHTumcB9EVD6OgBERlUEQBJw4cQJt27aFiYmJ3DYRERGYMmUK9PT08O6776Jp06b4559/cOrUKWzfvh09e/aUtE1ISMDXX3+NgQMHYuLEiYiNjcWaNWuQlZWF4cOHw9vbGx4eHnBycsK+ffuwbNkyGBkZ4YsvvpD0YWJiUmosVeXs7AwAOH78OPr3718j+yAiQCQoMk5NRKTikpKS0Lx58zLngHXv3h2DBg0qs58bN26gQ4cOGDt2LDZt2iRTf+3aNXTp0gWWlpY4ffo0bG1tJXWCIODRo0ewtrbGiRMnJE8h7tq1C8OHDwcA5Ofn4+2338a1a9dgbm6O/fv3w8HBAQDw/PlztGzZEoWFhUhNTYWWlmJ/M6enpyM5ORlJSUl49913sW/fPlhbW6Np06YwMzOTavv8+XMYGRmhd+/eiIuLU2h/RFQ+joARkVq7e/cuFi9eLLfus88+KzcBS0lJAQBYWlrKrV+7di0KCwvx5ZdfSiVfACASiWBtbS1V5uLiIkm+AKBevXoYNWoUrl69imHDhkmSLwAwNDSEu7s7Nm7ciJSUFJn+K2r37t3w9fWVfB86dCgAIDIyEj4+PlJtDQ0NoaurKzluIqoZTMCISK0NHDgQBw8eVHj7p0+fAgBMTU3l1p87dw4AMGDAgAr116VLF5kyKysrAJC7LIa47p9//lE4AfPx8ZFJtMpiZmaGf//9V6F9EVHFcBI+EVEZ9PT0AEAySb6kjIwMiEQiSaJUHiMjI5ky8a3Fsury8/Mr1H91ePXqFerXr19r+yN6EzEBIyIqg4WFBYDieVTymJiYSOZ6qYOioiJkZmZKjpuIagYTMCKiMnTo0AEaGhq4ffu23HrxwqyHDx+uzbBqzO3bt1FUVIROnTopOxQitcYEjIioDCYmJujcuTMuXLggd3HTSZMmQVNTEwsWLMD9+/el6uriyFhCQgIAoE+fPkqOhEi9cRI+Eam1O3fulLkSfkVWyR8xYgSCgoJw/vx5mVcRderUCd999x2mTp2KDh06YMSIEWjWrBlSU1Nx8uRJDB06FN99913VDqIWHTlyBJqamnB3d1d2KERqjQkYEam1spahACqWgH3yyScICQnBpk2b5L4LMiAgAB07dsSKFStw4MABvHjxAg0bNoSTkxNGjx5dlfBr1cuXL7Fr1y4MGzZMZvkMIqpeXIiViKgCPvzwQxw+fBj379+Hvr6+ssOpERs3bsS4ceMQFxeH3r17KzscIrXGBIyIqALu3buHdu3aITg4GHPmzFF2ONWuoKAAbdu2RYcOHRATE6PscIjUHm9BEhFVQPPmzREdHa22C5SmpKTgo48+gtf/t3PHRAAAIBDDlOLfBi7KQKKAsfcDM9enwAsWMACAmDcUAAAxAQYAEBNgAAAxAQYAEBNgAAAxAQYAEBNgAAAxAQYAEBNgAAAxAQYAEFsdZk5jyar0XAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from exojax.utils.constants import hcperk, Tref\n",
    "def East(T):\n",
    "    return -1. / (hcperk * (1. / T - 1. / Tref))\n",
    "\n",
    "Tf=1000\n",
    "Th=2000\n",
    "logbin=np.logspace(1.5,4.5,100)\n",
    "plt.hist((mdbH2O.elower),bins=logbin, weights=mdbH2O.Sij0*np.exp(mdbH2O.elower/East(Tf)), log=True,alpha=0.6,label=\"H2O/ExoMol/POKAZATEL \"+str(Tf)+\"K\",color=\"C0\")\n",
    "plt.hist((mdbH2O.elower),bins=logbin, weights=mdbH2O.Sij0*np.exp(mdbH2O.elower/East(Th)), log=True,alpha=0.2,label=\"H2O/ExoMol/POKAZATEL \"+str(Th)+\"K\",color=\"C0\")\n",
    "#plt.hist((mdbH2Oh.elower),bins=logbin, weights=mdbH2Oh.Sij0*np.exp(mdbH2Oh.elower/East(Tf)), log=True,alpha=0.4,label=\"H2O/HITEMP2010\",color=\"C0\")\n",
    "plt.hist((mdbCH4.elower),bins=logbin, weights=mdbCH4.Sij0*np.exp(mdbCH4.elower/East(Tf)), log=True,alpha=0.2,label=\"CH4/ExoMol/YT34to10 \"+str(Tf)+\"K\",color=\"C2\")\n",
    "#plt.hist((mdbCH4h.elower),bins=logbin, weights=mdbCH4h.Sij0*np.exp(mdbCH4h.elower/East(Tf)), log=True,alpha=0.4,label=\"CH4/HITEMP2020\",color=\"C2\")\n",
    "#plt.hist((mdbCO.elower),bins=logbin, weights=mdbCO.Sij0*np.exp(mdbCO.elower/East(Tf)), log=True,alpha=0.4,label=\"c.f. CO/ExoMol/Li2015, \\n $\\\\Delta \\\\lambda = 500 \\\\AA$@2.3$\\\\mu m$\",color=\"C1\")\n",
    "plt.title(\"$\\\\lambda = 16370 - 16390 \\\\AA,  \\\\Delta \\\\lambda = 20 \\\\AA$\")\n",
    "plt.ylabel(\"linestrengh weight\",fontsize=14)\n",
    "plt.xlabel(\"E ($\\mathrm{cm^{-1}}$)\",fontsize=14)\n",
    "plt.legend(fontsize=10, loc=\"lower left\")\n",
    "plt.xscale(\"log\")\n",
    "plt.ylim(10**-27,10**-20)\n",
    "plt.tick_params(labelsize=15)\n",
    "#plt.savefig(\"elower_distribution.png\")\n",
    "plt.savefig(\"elower_weighted_distribution.png\", bbox_inches=\"tight\", pad_inches=0.03)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Nline in 100 AA @ 1.64um is approximately 10^8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "xsmode assumes ESLOG in wavenumber space: mode=premodit\n",
      "Background atmosphere:  H2\n",
      "Reading /home/kawahara/.database/CH4/12C-1H4/YT34to10/12C-1H4__YT34to10__06000-06100.trans.bz2\n",
      "Reading /home/kawahara/.database/CH4/12C-1H4/YT34to10/12C-1H4__YT34to10__06100-06200.trans.bz2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/kawahara/anaconda3/lib/python3.8/site-packages/exojax-1.2-py3.8.egg/exojax/utils/grids.py:123: UserWarning: Resolution may be too small. R=163835.49237683107\n",
      "  warnings.warn('Resolution may be too small. R=' + str(resolution),\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      ".broad is used.\n",
      "Broadening code level= a1\n",
      "default broadening parameters are used for  28  J lower states in  45  states\n"
     ]
    }
   ],
   "source": [
    "nusa, wava, ra = wavenumber_grid(16350, 16450, 1000, unit=\"AA\",xsmode=\"premodit\")\n",
    "mdbCH4a = MdbExomol(\"/home/kawahara/.database/CH4/12C-1H4/YT34to10/\",nusa)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "103357323\n"
     ]
    }
   ],
   "source": [
    "print(len(mdbCH4a.elower))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(241.46740943017846, 292.2304443672046)"
      ]
     },
     "execution_count": 140,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "East(2000), East(1000.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "22026.465794806718"
      ]
     },
     "execution_count": 146,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x=np.logspace(-2,2,100)\n",
    "plt.plot(x,np.exp(x/10))\n",
    "plt.plot(x,np.exp(x/5))\n",
    "plt.yscale(\"log\")\n",
    "plt.xscale(\"log\")\n",
    "#plt.ylim(10**-10,10**2)\n",
    "np.exp(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x14973008f1f0>]"
      ]
     },
     "execution_count": 141,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Tarr=np.linspace(500,2000,15)\n",
    "plt.plot(Tarr, East(Tarr))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 152,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9.974182454814718"
      ]
     },
     "execution_count": 152,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.exp(2.3)/np.exp(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.8.8 ('base')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "72bc7f8b1808a6f5ada3c6a20601509b8b1843160436d276d47f2ba819b3753b"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}