{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# GEONE - Accept-reject sampler\n", "\n", "Rejection algorithm for generating samples according to a given uni- or multi-variate density function.\n", "\n", "## Import what is required" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy\n", "import time\n", "\n", "# import package 'geone'\n", "import geone as gn" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sys.version_info(major=3, minor=13, micro=7, releaselevel='final', serial=0)\n", "geone version: 1.3.1\n" ] } ], "source": [ "# Show version of python and version of geone\n", "import sys \n", "print(sys.version_info)\n", "print('geone version: ' + gn.__version__)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Accept-reject sampler\n", "The function `geone.randProcess.acceptRejectSampler(n, xmin, xmax, f)` generates `n` points (can be multi-variate) in a box-shape domain of lower bound(s) `xmin` and upper bound(s) `xmax`, according to a density proportional to the function `f`, based on the accept-reject algorithm.\n", "\n", "Let `g_rvs` a function returning random variates sample(s) from an instrumental distribution with density proportional to `g`, and `c` a constant such that `c*g(x) >= f(x)` for any `x` (in `[xmin, xmax[` (can be multi-dimensional), i.e. `x[i]` in `[xmin[i], xmax[i][` for any i). Let `fd` (resp. `gd`) the density function proportional to `f` (resp. `g`); the alogrithm consists in the following steps to generate samples `x ~ fd`:\n", "\n", "- generate `y ~ gd` (using `grvs`)\n", "- generate `u ~ Unif([0,1])`\n", "- if `u < f(y)/c*g(y)`, then accept `x` (reject `x` otherwise)\n", "\n", "The value of `c`, and the instrumental distribution (both `g` and `g_rvs`) can be specified as keyword arguments. The default instrumental distribution (if both `g` and `g_rvs` set to `None`) is the uniform distribution (`g=1`). If the domain (`[xmin, xmax[`) is infinite, the instrumental distribution (`g`, and `g_rvs`) and `c` must be specified." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example - 1 variable on a finite domain" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Elapsed time: 0.097 sec\n", "Acceptance ratio = 0.4269\n" ] } ], "source": [ "# Function, proportional to target density\n", "def f(x):\n", " return np.exp(-x**2/10) * (np.cos(np.pi*x) + 2)\n", "\n", "# Domain\n", "xmin, xmax = 1, 5\n", "\n", "# Draw samples\n", "n = 500000\n", "np.random.seed(1239)\n", "t1 = time.time()\n", "x, t = gn.randProcess.acceptRejectSampler(n, xmin, xmax, f, return_accept_ratio=True, show_progress=False)\n", "t2 = time.time()\n", "print(f'Elapsed time: {t2-t1:.2g} sec')\n", "print(f'Acceptance ratio = {t:.4g}')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { 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d05KSkowWLVoYAQEB6T4vM1OuXDmjR48e15y9ML0G03pknn/++QzzMmuPCRMmGBaLxTh69Kh72pUOXbv8s7xbt26Gl5eXcfDgQfe0yMhIo1ixYkabNm2umjetHa727/JepMtd7/ezYaR+T9psNvdhbjnp0Xn44YcNm81m7Nu3zz1t4sSJBmCEhIQYt9xyi/HVV18ZH374oREWFmYEBQUZkZGRhmGk9gKWKFHCuO2229KtMzo62n2e0F9//ZVu3rp169w97mIejbpWxLVs2ZLvvvuOhx56iHvuuYfnn3/e/av4mDFj3MvFx8cD4O3tnWEdPj4+7vlpy2a13KXrMnudVzJgwACKFSvmvt2zZ0/KlCnjHi7yr7/+4vTp0zz++OPuDAB33XUXNWvW5Ndff73qNjp27Oj+hRGgXr16BAYGcujQoaveN63H4ccff8TlcmXrMQEsXLgQgMcffzzd9CeeeCLdbcMwmD9/Pl27dsUwDKKjo93/unTpgt1uZ8uWLenuM3jwYLy8vNy3036JTns827ZtY//+/fTr14+zZ8+61xcXF8dtt93GqlWrMjyWxx57LMNjuPQXtYSEBKKjo2nevDlAhkyZWbBgAS6Xi969e6d7XKVLl6Z69eosX74c+N9z/Nhjj6V7XIMGDaJ48eJX3U7Dhg0JCAhg1apVQGrPTbly5RgwYABbtmzB4XBgGAZr1qxxt9W1ulrbZ+XStnQ6nZw9e5Zq1apRokSJdG05f/586tev7+6VuFTa0Onz588nNDQ0w2vp0mXmzZtH8eLF6dSpU7q2b9y4MQEBAe62T1O2bNl02wwMDGTAgAFs3brV/evstWrbti21a9d2376W13yac+fO8ccff9C7d28uXrzovt/Zs2fp0qUL+/fv58SJE+52ulpb5lR2n8fL/fXXX5w9e5YhQ4bg4fG/Azz69+9PUFBQumV/++03Spcuzf333++e5unp6R4xa+XKlVfMePbs2QzrzEn2wvgaHDZsWIZpl7ZHXFwc0dHRtGzZEsMwst3jcamUlBQWL15Mt27dqFKlint6mTJl6NevH2vWrCEmJuaK6/jqq69YsmTJVf8NGDDgiuvJje/nkSNHcscdd9C5c+erLnupOXPm8Mknn/DMM89QvXp19/S00d4sFgvLli2jX79+DBs2jB9++IHz588zdepUAKxWK48++ijLli1jzJgx7N+/n82bN9O7d2+SkpLSPb40aa/3y0eEkxtLh65JBtWqVePee+9lwYIFpKSkYLPZ3B++ad23l0pISEj34ezr65vlcmnzL/3frHVeyaUfhJD6IVitWjX3MJJHjx4F4Kabbspw35o1a7JmzZqrbqNChQoZpgUFBXH+/Pmr3rdPnz58/PHHPPLIIzz//PPcdtttdO/enZ49e2K1Zv37xdGjR7FarVSuXDnd9GrVqqW7febMGS5cuMCMGTOYMWNGpus6ffr0FR9P2od82uPZv38/AAMHDswyn91uT7czdHlOSN2pfOmll/jmm28yZLDb7VmuO83+/fsxDCPDc5wm7bCVtOf48uU8PT3T7TBkxWaz0aJFC1avXg2kFjqtW7emVatWpKSksGHDBsLCwjh37tx1FzpXa/usxMfHM2HCBGbPns2JEyfchwdC+rY8ePAgPXr0uOK6Dh48yE033ZRuh/ly+/fvx263U6pUqUznX/58VqtWLcPOf40aNYDUa9lcepjI5ex2e7odDy8vL4KDg923L39tXctrPs2BAwcwDIMXX3wxyyFlT58+TXh4eLbaMqey+zxeLu01fvn738PDg0qVKmVYtnr16hk+X9IO0Upb15Vcmiun2Qvia/BKPDw80h0amCYiIoKxY8fy008/ZXj/Zufz7XJnzpzB4XBk+l1Vq1YtXC4Xx44d4+abb85yHVkdVptT1/v9PHfuXNatW8c///yTo+2uXr2ahx9+mC5dumS4hlPaNrt27ZrukODmzZtTuXJl1q1b55728ssvEx0dzVtvvcUbb7wBQOfOnXn44YeZNm1ahkOK017Luo6euVToSKbKly9PUlIScXFxBAYGUqZMGQCioqIyLBsVFUXZsmXdt8uUKeP+9fLy5QD3smav02w2my3T6ZntDFzO19eXVatWsXz5cn799VcWLlzI3Llz6dChA4sXL85y3dmV1rPywAMPZFmY1KtXL93tqz2etHW+/fbb7uOeL3f5F0VmX3y9e/dm3bp1PPfcczRo0ICAgABcLhe33357tnq3XC4XFouF33//PdPMl2e4Hq1ateK1114jISGB1atX88ILL1CiRAnq1KnD6tWrCQsLA7juQudaX0tPPPEEs2fP5qmnnqJFixYUL14ci8VC3759c9RTmF0ul4tSpUrx1VdfZTo/7Ryq3PDkk0/y2WefuW+3bds23YUyL39tXctr/vL7Pvvss3Tp0iXTZS4vJnLTjX4er0VISEimhXdhfg1eibe3d4aiMSUlhU6dOnHu3Dn+85//ULNmTfz9/Tlx4gSDBg0y7bk8c+ZMts7RCQgIuOLn5/V+Pz/33HP06tULLy8v94+OadfFOXbsGElJSRnW8ffff3PPPfdQp04dvvvuuwxFcNryaZ/FlypVqlS616yXlxcff/wxr732Gvv27SMsLIwaNWrQr18/rFZrhvd42n0vPSdIbjwVOpKpQ4cO4ePj4/7QqlOnDh4eHvz111/07t3bvVxSUhLbtm1LN61BgwYsX77cfRJ2mrQTo9N2cs1e55Wk9T6kMQyDAwcOuHd0KlasCMDevXvp0KFDumX37t3rnn+9rvRLkNVq5bbbbuO2225j4sSJvP7667zwwgssX76cjh07ZnqfihUr4nK5OHz4cLqeigMHDqRbrmTJkhQrVoyUlJQs15VTaYfpBQYGXvM6z58/z7Jly3jppZcYO3ase/rlzxdk3XZVq1bFMAwqV67s/mU2M2nP4f79+9M9x06nk8OHD1O/fv2r5m3dujVJSUl8/fXXnDhxwl3QtGnTxl3o1KhRI9Mv2ew8luv13XffMXDgQN599133tISEhAwX1atatepVf0WtWrUqGzduxOl0Zjjh/NJlli5dyq233pqt3tW0npJLH/++ffsA3D0OWbXN6NGjeeCBB9y3Mzts6lLX85pP6+Hz9PS86n2z05Y5fb6z+zxeLu01fuDAAdq3b++enpyczJEjR9IVdhUrVmT79u24XK50O+h79uxJt66s1KxZk8OHD19z9oL4GsypHTt2sG/fPj777LN0h4FldmHs7G6zZMmS+Pn5sXfv3gzz9uzZg9VqverAKk2bNs1Wj924ceOueBHT6/1+PnbsGHPmzGHOnDkZ5jVq1Ij69eunu8juwYMHuf322ylVqhS//fZbpkVY48aNATL9ITUyMpKaNWtmmB4WFub+zE5JSWHFihU0a9Ysw/rTXu/ZGRxF8o7O0Snizpw5k2Ha33//zU8//UTnzp3dX2jFixenY8eOfPnll1y8eNG97BdffEFsbCy9evVyT+vZsycpKSnpDv9ITExk9uzZNGvWzP2havY6r+Tzzz9Pd//vvvuOqKgo7rjjDgCaNGlCqVKlmDZtWrpu+N9//53du3dnOorZtfD39wfI8KV/7ty5DMtePjpMZtJ+bf7www/TTf/ggw/S3bbZbPTo0YP58+dnunOR2evmaho3bkzVqlV55513Mr0KdnbWmdZzcXlPxaRJkzIsm1Xbde/eHZvNxksvvZRhPYZhcPbsWSD1OS5ZsiTTpk1zH4MNqaPtXW0HMk2zZs3w9PTkzTffJDg42H14SOvWrdmwYQMrV67MVm+Ov7//NR22cjU2my1DG3zwwQcZfr3t0aMHf//9N99//32GdaTdv0ePHkRHRzNlypQsl+nduzcpKSmZjpSUnJycoV0jIyPTbTMmJobPP/+cBg0auA8Zyup5rl27Nh07dnT/S9uhycr1vOZLlSpFu3btmD59eqa/Vl963+y0ZVaP6UrZs/M8Xq5JkyaEhIQwc+ZMkpOT3dO/+uqrDL0vd955JydPnmTu3LnuacnJyXzwwQcEBATQtm3bK26rRYsW/PPPPxk+nwrzazCnMvt8MwyDyZMnZ1g2u9u02Wx07tyZH3/80d0LAqmjas6ZM4dWrVplGM30crl1jk5Ovp8dDgd79uxJd37L999/n+Ffnz59gNTv7LRRKSF1hLW0fZhFixZl2VN30003Ub9+fX788cd021q8eDHHjh2jU6dOV3xM77zzDlFRUTzzzDMZ5m3evJnixYtf8bBAyXvq0Sni+vTpg6+vLy1btqRUqVLs2rWLGTNm4Ofn5z4GNc1rr71Gy5Ytadu2LUOHDuX48eO8++67dO7cmdtvv929XLNmzejVqxdjxozh9OnTVKtWjc8++4wjR47wySef5Jt1XklwcDCtWrVi8ODBnDp1ikmTJlGtWjWGDBkC4N55HTx4MG3btuX+++93Dy9dqVIlnn766Rw9D1lJ2zl74YUX6Nu3L56ennTt2pWXX36ZVatWcdddd1GxYkVOnz7Nhx9+SLly5WjVqtUV19ejRw8mTZrE2bNn3cNLp/1CeemvhG+88QbLly+nWbNmDBkyhNq1a3Pu3Dm2bNnC0qVLMy22rsRqtfLxxx9zxx13cPPNNzN48GDCw8M5ceIEy5cvJzAwkJ9//vmK6wgMDKRNmza89dZbOJ1OwsPDWbx4caa/FGfVdlWrVuXVV19lzJgx7qF0ixUrxuHDh/n+++8ZOnQozz77LJ6enrz66qs8+uijdOjQgT59+nD48GFmz56drXN0IHXY0caNG7Nhwwa6du3qbt82bdoQFxdHXFxctgqdxo0bM3fuXEaNGkXTpk0JCAiga9eu2cpwJXfffTdffPEFxYsXp3bt2qxfv56lS5cSEhKSbrnnnnuO7777jl69evHQQw/RuHFjzp07x08//cS0adOoX78+AwYM4PPPP2fUqFFs2rSJ1q1bExcXx9KlS3n88ce59957adu2LY8++igTJkxg27ZtdO7cGU9PT/bv38+8efOYPHkyPXv2dG+3Ro0aPPzww/z555+EhYUxa9YsTp06xezZs93LNGjQAJvNxptvvondbsfb25sOHTpkeQ7GlVzPa37q1Km0atWKunXrMmTIEKpUqcKpU6dYv349x48f5++//852W1atWpUSJUowbdo0ihUrhr+/P82aNcv0nLWcPI+X8/LyYvz48TzxxBN06NCB3r17c+TIET799FOqVq2a7vNg6NChTJ8+nUGDBrF582YqVarEd999x9q1a5k0aVK6wVsyc++99/LKK6+wcuXKdCeS6zX4PzVr1qRq1ao8++yznDhxgsDAQObPn5/pIX9pn28jR46kS5cu2Gw2+vbtm+l6X331VZYsWUKrVq14/PHH8fDwYPr06SQmJvLWW29dNVdunaMD2f9+3rRpE+3bt0/XS9StW7cM60vrwbnjjjvSHSJ2++23c+jQIUaPHs2aNWvSnTcbFhaWroB577336NSpE61ateLRRx/FbrczceJEatSokW7AiC+//JL58+fTpk0bAgICWLp0Kd9++y2PPPJIpuePLVmyJN3nvpgkz8d1k3xt8uTJxi233GIEBwcbHh4eRpkyZYwHHnggy4sNrl692mjZsqXh4+NjlCxZ0hg+fHimw4rGx8cbzz77rFG6dGnD29vbaNq0qbFw4cJ8t87LpQ2/+vXXXxtjxowxSpUqZfj6+hp33XVXuqE908ydO9do2LCh4e3tbQQHB+f4gqGXq1ixojFw4MB001555RUjPDzcsFqt7uGSly1bZtx7771G2bJlDS8vL6Ns2bLG/fffn27YzKzExcUZw4cPN4KDg42AgACjW7duxt69ew3AeOONN9Ite+rUKWP48OFG+fLlDU9PT6N06dLGbbfdZsyYMSNDm82bNy/dfbO6qOLWrVuN7t27GyEhIYa3t7dRsWJFo3fv3sayZcsytFlmQ4YeP37cuO+++4wSJUoYxYsXN3r16mVERkZmOrxpZm2XZv78+UarVq0Mf39/w9/f36hZs6YxfPhwY+/evenW8eGHH7ovTtqkSZNsXzA0zXPPPWcAxptvvpluerVq1Qwg3ZCvhpH58NKxsbFGv379jBIlShhkcsHQ7Lb95c6fP28MHjzYCA0NNQICAowuXboYe/bsyfR1ePbsWWPEiBFGeHi4+0KGAwcOTDcUs8PhMF544QWjcuXK7tdLz549MzzGGTNmGI0bNzZ8fX2NYsWKGXXr1jVGjx7tHsrVMNJfrLFevXqGt7e3UbNmzQyP1TBSr6xepUoVw2azZWuY36zef4aRvdd8Vu178OBBY8CAAUbp0qUNT09PIzw83Lj77ruN7777Lsdt+eOPP7ovZnq15zK7z2NWFwx9//33jYoVKxre3t7GLbfcYqxdu9Zo3Lixcfvtt2dom7TteHl5GXXr1s32ENiGYRj16tXLcFHIovgaTLtgaGZ27dpldOzY0QgICDBCQ0ONIUOGuC89cGlbJycnG0888YRRsmRJw2KxpPuOyeyzcMuWLUaXLl2MgIAAw8/Pz2jfvr2xbt26LDPmpex8P6e9Vq82ZHVW3xVcYRjszD67lyxZYjRv3tx90doHH3zQiIqKSrfMxo0bjTZt2hhBQUGGj4+PUb9+fWPatGmZXhB09+7dBmAsXbo0e40iecZiGNk481mkiFixYgXt27dn3rx56X7VK+y2bdtGw4YN+fLLL+nfv7/ZcUSoVKkSderU4ZdffjE7SgYHDx6kWrVqfPHFF+nOAyosXC4XJUuWpHv37sycOTPX1vvFF18wfPhwIiIirnpB5fwgP78GJX976qmnWLVqFZs3b1aPjsl0jo5IEZPZtQomTZqE1WqlTZs2JiQSKVjSzsMpDKMpJSQkZDhH5vPPP+fcuXO0a9cuV7fVv39/KlSo4L42iUhhdPbsWT7++GNeffVVFTn5gM7RESli3nrrLTZv3kz79u3x8PDg999/5/fff2fo0KFXHX1HpKibNWsWs2bNws/Pz32h2oJsw4YNPP300/Tq1YuQkBC2bNnCJ598Qp06dbI9eEt2Wa3WHF8DRaSgCQkJyXTAHTGHCh2RIqZly5YsWbKEV155hdjYWCpUqMD48eN54YUXzI4mku8NHTqUGjVqMG/evAJx+NXVVKpUifLly/P+++9z7tw5goODGTBgAG+88QZeXl5mxxMRuS46R0dERERERAodnaMjIiIiIiKFjgodEREREREpdArEOToul4vIyEiKFSumESxERERERIowwzC4ePEiZcuWxWrNut+mQBQ6kZGRGg1KRERERETcjh07Rrly5bKcXyAKnWLFigGpDyYwMNDULE6nk8WLF9O5c2c8PT1NzVIYqX3zlto3b6l985baN2+pffOW2jdvqX3zVn5r35iYGMqXL++uEbJSIAqdtMPVAgMD80Wh4+fnR2BgYL54ogsbtW/eUvvmLbVv3lL75i21b95S++YttW/eyq/te7VTWjQYgYiIiIiIFDoqdEREREREpNBRoSMiIiIiIoWOCh0RERERESl0VOiIiIiIiEiho0JHREREREQKHRU6IiIiIiJS6KjQERERERGRQkeFjoiIiIiIFDrXVOhMnTqVSpUq4ePjQ7Nmzdi0adMVl79w4QLDhw+nTJkyeHt7U6NGDX777bdrCiwiIiIiInI1Hjm9w9y5cxk1ahTTpk2jWbNmTJo0iS5durB3715KlSqVYfmkpCQ6depEqVKl+O677wgPD+fo0aOUKFEiN/KLiIiIiIhkkONCZ+LEiQwZMoTBgwcDMG3aNH799VdmzZrF888/n2H5WbNmce7cOdatW4enpycAlSpVur7UIiIiIiIiV5CjQ9eSkpLYvHkzHTt2/N8KrFY6duzI+vXrM73PTz/9RIsWLRg+fDhhYWHUqVOH119/nZSUlOtLLiIiIiIikoUc9ehER0eTkpJCWFhYuulhYWHs2bMn0/scOnSIP/74g/79+/Pbb79x4MABHn/8cZxOJ+PGjcv0PomJiSQmJrpvx8TEAOB0OnE6nTmJnOvStm92jsJK7Zu31L55S+2bt9S+eUvtm7fUvnlL7Zu38lv7ZjeHxTAMI7srjYyMJDw8nHXr1tGiRQv39NGjR7Ny5Uo2btyY4T41atQgISGBw4cPY7PZgNTD395++22ioqIy3c748eN56aWXMkyfM2cOfn5+2Y0rIiIiIiKFjMPhoF+/ftjtdgIDA7NcLkc9OqGhodhsNk6dOpVu+qlTpyhdunSm9ylTpgyenp7uIgegVq1anDx5kqSkJLy8vDLcZ8yYMYwaNcp9OyYmhvLly9O5c+crPpgbwel0smTJEjp16uQ+50hyT1Fs35iYGOLj4wHw9fXN8jV+6XJXWzYrRbF9byS1b95S++YttW/eUvvmLbVv3spv7Zt2tNfV5KjQ8fLyonHjxixbtoxu3boB4HK5WLZsGSNGjMj0Prfeeitz5szB5XJhtaaeErRv3z7KlCmTaZED4O3tjbe3d4bpnp6e+aJxIX9lKYyKSvva7XamTZ9O8r9dsB6enowYPpzixYtfcbnMlrXb7TgcDgD8/PwyrONSRaV9zaL2zVtq37yl9s1bat+8pfbNW/mlfbObIcejro0aNYqBAwfSpEkTbrnlFiZNmkRcXJx7FLYBAwYQHh7OhAkTABg2bBhTpkzhySef5IknnmD//v28/vrrjBw5MqebFil0HA4HyU4n5Zq3B+D4huU4HI4MxUt0dLR7OZ/AIBJizqdb1m63M2Xq1KsWTCIiIiJFRY4LnT59+nDmzBnGjh3LyZMnadCgAQsXLnQPUBAREeHuuQEoX748ixYt4umnn6ZevXqEh4fz5JNP8p///Cf3HoVIAecTGJRh2uXFS9pyvsGhGZa9WsEkIiIiUtTkuNABGDFiRJaHqq1YsSLDtBYtWrBhw4Zr2ZRIkXVp8ZIUd5HTO/666n0yK5hEREREiqJrKnRE5MZR8SIiIiKScyp0RG6wSwcNiI6OTj/T5cIWEQEHD+K9fz91duyglM2f+BQnrhMn8Ik+A0Eh7sXT7p9hPSIiIiJFnAodkRvo8vNubMnJVDt0iIZ736HU31vovW8Pni+/DEAw0ANg/vz/rWDmTBKLB3GuchXCSxRjU0QEJ8qVw7jkvDgRERERUaEjckM5HA6Sk5Jo6luCm1avpNzyJXg74tItY3h5YSlfnqTAQE6cP49fUCjW2It4nYqiWFwc3vbzlNm2mTJAuxUrcISWZH/zlqytEJ7ldtN6kVJSUvL4EYqIiIjkDyp0RG4Au92Ow24nec4chk6fTpmTJ93zYooV41T7zpxu2IQtZ0/Qc/RoypQvz9moKD6fMYNqnbu7h5Ou0e5uSp07i/eKxQQt/Z1qx47hF32G+r/8SH0gcsvf7Oo3kAOGkW7bab1IVquVevXqERMTQ0hISCZJRURERAoHFToiecx+4QJLhg+nw++/U+b8eQCSfXyIuLcXu5s05a+L0VS7vScA5xYvAI+s35YuLy/stety3s+H48HFqNG+KxV37qDsl59QYf0aym5YS9kNa6leoQKezZtDmTLpRm+zGAYkXiA+Pv6GPHYRERERs6jQEclL27fj89hj9Fy/HgBH8RJsaNyIs6NfwlapKueP7IcNy6959S5PT0526MzuKpWJ+20+nSOjqfbTfCpGRMAdd+Do0YPz/w4F7xMYBC4XJF7IjUcmIiIikq/pDGaRXGK324mKiiIqKgr72bPw6qvQpAne69fj9PBgx6ChzPv0a1a3aUNSYO5fyPN8cDCbRz3Pgs++5e969QHwmz+finfdRe2dO3N9eyIiIiL5mXp0RHLBpefBBEdH0+P77yl+4gQACV268FGtWpTq/RDJMefzPMvFoBL80P0+jjw8jNZT3iN4/156zZvH0XMxbHzu//J8+yIiIiL5gXp0RHJB2nkwt6bYeHTWLMqeOEFKsWKcnzKF/W+9RUyJEjc8U2zTlqycv4gt/QfisliouGwRtz/Sj8AjR254FhEREZEbTT06IrkhJYXbli6l1Zo1ABypWJEFPXpwMToavv/etFiGlxdbH3yIzX5e9PvpFwKPH6P16NHYrVZ44gnTcomIiIjkNfXoiFwvh4OgRx5xFzk7uvfmiwEDKN75Xqp17k6puk1MDgiR4eH8PvsbIm9pgUdSEiEjR8Irr8Alw1CLiIiIFCYqdESuR3Q03HYbPosWkWyzsealN9k0dDgumw2fwCB8g0Px8i9mdkoAEksEseLtKey/777UCWPH4njwQY4dPvy/QRTsdnNDioiIiOQSHbomcq2OHYOOHWHfPlwlSvDFfffh1ekOuAEDDlyrJGciuwYOZL/Tye2//orfV18R8ddffNerFykeHnh4ejJi+HCKF8/9UeFEREREbiT16Ihci4gIaNcO9u2DChU4++OPRFSsaHaqq3I5kwA4OfxZVk+YRLKXFzX37mXgoqVUbNSSZKcTh8NhckoRERGR66dCRySnjh5NLXIOHYIqVWD1apKrV8+11UdHRxMVFUV0dHSurfNy3sVKcLZbLxa/9AZODw/K/7mBzq+/hM3pzLNtioiIiNxIOnRNJCdOnEgtco4cIaVyZaLnzsXl6ZkrRYkz3gFYWLBgwXWvK7uiGjZmTv/+9J87l7Ib1tL77GkYOvSGbV9EREQkr6jQEcmuc+egSxd3kTO1Vy/O//prrq0+xZkIGJRr3h6fwCBioiI4veOvXFt/Vo5Urszydz+k/ajHqbF/P45Ro+Dbb8GqDl8REREpuLQnI3IZu92ecRSyuDi4+27YuRPKluXsN99w3s+Pcs3b5/oQ0maM1na6YRNWv/oOLosFv/nziXv0UaIiIzUKm4iIiBRY6tERuYTdbmfK1Kkk/3uuioenJyMee4ziAwbA+vUQFASLFpESEgL8ryhJyMcjrWXX0UZN+KHbfXT/fgH+H3/MuqNH2dSunUZhExERkQJJPToil3A4HCQ7nZRr3p5yzduT7HRiGzMGfv0VfH3hl1+gTh2zY+aJFGciO+rXY8PQ4QB0XLqUqtu3axQ2ERERKZBU6IhkwicwCJ/AIBpt3kzAjBmpEz/7DFq2NDfYDXBw4FAO9huIxTDovmABsatX62KiIiIiUuDo0DWRLIRt3kT7tMEGXn4ZevUyN9CNYrGw/b+v4LNvD+F/bSTskUeYMXQoCUFB9Ondm4CAAAD8/Px0SJuIiIjkWyp0RDIRcPwYrf87CpvLRfy99+L7f/8HpJ7D43A48vQaN/mB4eHBH8+/yO2PDaJkdDT9Fi7m4+73MWfOHPcyHp6eOn9HRERE8i0VOiKX8XA6af3CM3hfjOF4eDi2iRPxtVgyDFRQ2CUFFGNu3748Oms2ZXfu4LbixdgzdgI+gUEkxJzn+IblOBwOFToiIiKSL+kcHZHL3P777wTv30NCiSC+7d2b6Lg4oqKiiIiIcA9UkJvDSednZ0NDWf/CywDcum4d1bdsxjc4FJ/AIJOTiYiIiFyZenRELuH73Xc03rIFw2Jh5ZjxXIy/wIIFC9ItU9R28o+178SOHn2oO38uLV59keUNmxKvXhwRERHJ59SjI5Jm504C//MfAHY89BjH6zcAjDy5KGhB8+fgoRytUAFPRxy3PPUo1qQksyOJiIiIXJEKHREAhwN69cIaH8/BKlX4Z9BQ96y0i4J6+RczMaC5DA8PvuvVi4QSQZTYu4sG0943O5KIiIjIFanQEQEYPRp27yYlLIwFPXpg2GxmJ8p3YosVY8O/5+vU+uZzqhw8aHIiERERkayp0BH57TeYOhWAC++9h8Pf3+RA+deJW9tysN9AALp9/z2Ws2dNTiQiIiKSORU6UrSdPg2DB6f+/eSTJLVrZ2qcguCf517EXqkKxWJj8R05kqjISOx2u9mxRERERNJRoSNFl2HAI4+kFjs33wxvvGF2ogIhxdePlWPGk2K1UXz5cjYNG8aUqVNV7IiIiEi+okJHiq5Zs+DnnzG8vDgzeTJR588THR1tdqoC4UzFivzRoT0Aty/7A9+zZ3E4HCanEhEREfkfXUdHiqYTJ2DUKAD+6NCBNWvWwJo1JocqWNa3bEnDyJOE7vqHu3/+meiBA93z/Pz8KK5r7YiIiIiJVOhIkWC32//X42AYlBg4EN+YGBx16rD2llso17w9PoFBxERFcHrHX+aGLSAMq5X1L7zCnYN6U2P/fr4fP54F9esD4OHpyYjhw1XsiIiIiGlU6EihZ7fbmTJ1KslOJwB1tm+nx7JlpFitfNqmDYbV6r5WTkLMeZPTFiwxlauytf9Amnz6MXcuWYJr8AgueHlwfMNyHA6HCh0RERExjc7RkULP4XCQ7HRSrnl7bm7SljuXLAVgW/9BWG670+R0Bd/2nvcTWaYM3rGxtHj/bXwCg8yOJCIiIqJCR4oOn8Agmn34Hr4XYzgZFsbeIcPx8i9mdqwCz/Dw4Md778Vl86Ds0oWUW7Xc7EgiIiIiKnSk6Ci38g/K//YTLquNn+69F8PD0+xIhcbp0qXZ/e+FRJu8NwHPxESTE4mIiEhRp0JHigSvxESaTnwdgB09+xJVtqzJiQqfHYOHEhdeHv9TJ2m3cqXZcURERKSIU6EjRULblSvxO3OauHIV2Np/4NXvIDmW4uPLtrGpxWTz9evx2LnT5EQiIiJSlKnQkULPY88emq9fD8C2F18jxdvb5ESF16m2txHRriNWw6D488+Dy2V2JBERESmiVOhI4fbvDrfVMIhodxun2t5mdqJC76+n/0OilxdemzfDJ5+YHUdERESKKBU6UmjZ7XYuvP8+Xps2keTpyeYn/2N2pCIhvmQYK9q3ByBlzBjsR4+anEhERESKIhU6UijZ7XY+fvttPP/7XwBWtmuHI6y0yamKBme8g023NONMaCi2s2fZ078/drvd7FgiIiJSxKjQkULJ4XDQduFC/B0OzpWrwIbmzc2OVGSkOBNx2axsfiq1B63J+vUk/f23yalERESkqFGhI4WSxz//0HjzZgDWP/ksLpvN5ERFz9kOXTjeqi02l4ti48aBYZgdSURERIoQFTpS+BgGgePGYQGOdLydk3Xrm52oyNo88jlSrFZ8VqyAX34xO46IiIgUISp0pPD5/nu816/H6eHB1sefNjtNkRZbrgIbWrRIvfH005CYaG4gERERKTJU6EihYbfbiTpyhOSnU4ubdS1b4ihdxuRUsqpNG1JKlYKDB2Hy5NTnKSqKqKgoDVIgIiIieeaaCp2pU6dSqVIlfHx8aNasGZs2bcpy2U8//RSLxZLun4+PzzUHFsmM3W5nytSp7BwyBI+ICGKKFWPtrbeaHUuAJG9vIp94AoCUV17hkzffZMaMGcyYMYMpU6eq2BEREZE8keNCZ+7cuYwaNYpx48axZcsW6tevT5cuXTh9+nSW9wkMDHT/ghsVFcVRXVdDckla70BERATe587RZt06AP4c9AhOb2+T04kz3gFYmO10cjIsDFtsLC2XL6dc8/aUa96eZKcTh8NhdkwREREphDxyeoeJEycyZMgQBg8eDMC0adP49ddfmTVrFs8//3ym97FYLJQurWuYSO5K68VJdjoB6Lp8OV4OB+fqNuDIHffAppUmJ5QUZyJgEN7yNnYGlaX004/RdNMmTsXEEluuvNnxREREpBDLUaGTlJTE5s2bGTNmjHua1WqlY8eOrF+/Psv7xcbGUrFiRVwuF40aNeL111/n5ptvznL5xMREEi85aTkmJgYAp9OJ89+dWrOkbd/sHIVVTtr34sWLuFJSKN+sHcX+2UbDrVsB2P6fcVgsFqxWK7hcWAzD/TcpKeluF4Z5OV0PcMNz+wQUx975Lo43akq5LX9Sf/r7rH3pTaxWKykpKYXm/aTPh7yl9s1bat+8pfbNW2rfvJXf2je7OSyGkf2LW0RGRhIeHs66detokTaSEjB69GhWrlzJxo0bM9xn/fr17N+/n3r16mG323nnnXdYtWoVO3fupFy5cpluZ/z48bz00ksZps+ZMwc/P7/sxpWiwjBo+eKLlPznH463bs3mZ54xO5FkIfDQIdo98wwWw2DlW29xoUYNsyOJiIhIAeNwOOjXrx92u53AwMAsl8vxoWs51aJFi3RFUcuWLalVqxbTp0/nlVdeyfQ+Y8aMYdSoUe7bMTExlC9fns6dO1/xwdwITqeTJUuW0KlTJzw9PU3NUhjlpH1PnTrF7NmzaeUbRMl//iHZw4M/n/wvRvU6XIg4yIk/V1Glwz0kXrzg/ts3KKTQzcvJskkx5wlOshMbXAHfkJI3PPdh7xIE169P/W3bqDlnLjPuu4fBDz1EWFjYDXqF5S19PuQttW/eUvvmLbVv3lL75q381r5pR3tdTY4KndDQUGw2G6dOnUo3/dSpU9k+B8fT05OGDRty4MCBLJfx9vbGO5MTyT09PfNF40L+ylIYZad9bTYbRnIyDT+aDMDGW27BUTYcX5sNw2LB5XKB1ZrubwrhvJyuBzA19x/t21Nn1y7Ctm2maq0a2Gy2Qvde0udD3lL75i21b95S++YttW/eyi/tm90MORp1zcvLi8aNG7Ns2TL3NJfLxbJly9L12lxJSkoKO3bsoEwZXd9Erl+97dspcegAiQEBrGnd2uw4kg0xxYuzp/cDAHRcuhRSUkxOJCIiIoVRjoeXHjVqFDNnzuSzzz5j9+7dDBs2jLi4OPcobAMGDEg3WMHLL7/M4sWLOXToEFu2bOGBBx7g6NGjPPLII7n3KKRoSkig/R9/APB3nwdI8PU1OZBk184HHyKxWCClzpzB94cfzI4jIiIihVCOC50+ffrwzjvvMHbsWBo0aMC2bdtYuHCh+xj7iIgIoqKi3MufP3+eIUOGUKtWLe68805iYmJYt24dtWvXzr1HIUWS/+zZFI+JIa5UGLvu6W52HMkBZ7FAdvcfBEDAO+9APhnFRURERAqPaxqMYMSIEYwYMSLTeStWrEh3+7333uO99967ls2IZO38eQI++ACA7UNGkKKLgxY4e3r1o9oXnxBw9CjMng1Dh5odSURERAqRHPfoiOQLEyZgvXCBU6VKcfj2u81OI9cgxdfPfV5VyvjxRB0+jN1uNzmViIiIFBYqdKTgOXYM3n8fgGUdO2LYbCYHkmvhjHfwV+Mm2AMDsUVF8fewYUyZOlXFjoiIiOQKFTpS8IwbB4mJJDZvzv7q1c1OI9coxZlIiqcHOwanHrLWduMmLLGxOBwOk5OJiIhIYaBCRwqWvXvhs88AuPjCC5B2XRgpsCJ63E9shUr4XjhPs02bzI4jIiIihYQKHSlYxo8Hlwu6dsXZuLHZaSQXGB6e7H7iWQBarl2LRYeuiYiISC5QoSMFx/bt8M03qX+//LK5WSRXHbvzXi5UropvQgL+06ebHUdEREQKARU6UnCMGwdAfNeuRIWFER0dbXIgyTU2G38PTR2y3m/mTE7u2qVBCUREROS6XNN1dERuuM2b4YcfcFkszKpQgegZM8xOJLnscNPm3BRWmtKnTrJ32DDWdOnCiOHDKV68uNnRREREpABSj44UDC++CMCOunXx6dqbap27U6puE5NDSW5KSU5iZds2ALT4azO2mBiNwCYiIiLXTIWO5H9r18Lvv2PYbKxs1w6fwCB8g0Px8i9mdjLJZXtq1uRClWp4OeJovnGj2XFERESkAFOhI/nfv7058X37cj442OQwkqesVnYMfhSAZhs2YImJMTmQiIiIFFQqdCR/++MPWL4cvLy4+OSTZqeRGyCifaf/jcA2a5bZcURERKSAUqEj+ZdhwP/9X+rfjz6Kq1w5c/PIjWG18s/AIQD4z5gBFy+aHEhEREQKIhU6kn/9/jusXw++vjBmjNlp5AaKuK0L0SEhWC9cgClTzI4jIiIiBZAKHcmfDMN9bg4jRkCZMubmkRvKsNlY1SZ1BDbefRdiY80NJCIiIgWOCh3Jl+xffglbtuDy9+dE//5ERUXpAqFFzD916pBcpQqcPQsffmh2HBERESlgdMFQyVdiYmLAMEj6tzdnXcOGLPvxx9QeHilSDJuN2JEjKfHUU6m9Ok88kXoYo4iIiEg2qEdH8pX4+HhKbd1K2chIkn182P/QMDAMyjVvrwuEFkHx990HFSvC6dMwe7bZcURERKQAUaEj+YthcNPcuQAc7jsQV9nUkdZ8AoN0gdCiyNMTnnsu9e+33gKn09w8IiIiUmCo0JF8xXvtWoL37iXFy4v9Dz1mdhzJDx56CEqVgqNH4ZtvzE4jIiIiBYQKHclXAidPBuBA1+4klAozOY3kC76+8PTTADhfeYWoEyew2+0mhxIREZH8ToWO5B+rV+O9YQMuDw929RtkdhrJR+z9+pHg7Y3n/v2sfOYZpkydqmJHRERErkiFjuQfr7wCQESHDjjCSpscRvITh6cnfzZtCkCHbdtJTkrC4XCYnEpERETyMxU6Yjq73U70r7/CkiUYHh7s69HD7EiST0RHR7uvobSheXOSvbwptXc3lQ8fNjuaiIiI5HO6jo6Yym63M2XqVHp9+imhwN916xIfpnNzijpnvAOwsGDBgv9NDAjg4D3duem7r2m1erVp2URERKRgUI+OmMrhcBB69Cg19u/HZbWy62GNtCaQ4kwEUq+fVK1zd/c1lHbfPxCXzYMqhw/juXWruSFFREQkX1OhI6Zrs2oVAMfv6kZC1ZtMTiP5iU9gEL7Boe5rKMWVKcvhLncCEPDBB2ZGExERkXxOhY6YymPXLmrt2YNhsbD3sSfNjiMFwK4HHsIAfBYuhJ07zY4jIiIi+ZQKHTFVwL/XzYlo34mLVaubnEYKgphKVdhTsyYAjpdfJioqSkNNi4iISAYajEDMs3s3Pr/8AsA/g4aaHEYKCme8g7W3tqLWnj14f/cdc8qVIyEkhBHDh1O8eHGz44mIiEg+oR4dMc/rr2MxDHbXrMmFajXMTiMFRIozkRPly3Hy5rrYXC46Hj9JstOp6+qIiIhIOip0xBwHDsCcOQCsbtPG5DBSEO0Z8AgAtX77Ga/ERJPTiIiISH6jQkfMMWECuFwk3HYbUWXLmp1GCqATt7blYuWqeMVepNHmzWbHERERkXxGhY7ceEeOYHz+OQDHBw0yN4sUXFYr+wenXnep+YYN4HSaHEhERETyExU6csMlvvIKluRkDlapwlcHD5odRwqwiHt7EB8cQvGYGHx+/tnsOCIiIpKPqNCRG+v4cby+/BKAPcOecl/xXuRauLx92NvzfgACPvwQDMPkRCIiIpJfqNCRG+utt7AkJXGkYkUu3NrOfcV7kWu1v3sfkjw98dy1C5YuNTuOiIiI5BMqdOTGOXkSZs4EYFXbtiaHkcIiKbA4Wxs1Sr3x9tvmhhEREZF8Q4WO3DjvvAMJCSQ1bszhypXNTiOFyPrmzTFsNliyBP7+2+w4IiIikg+o0JEb48wZ+OgjAGKffhosFpMDSWFiDwoi4e67U2+88465YURERCRfUKEjN8Z774HDAU2akNi+vdlppBCKHTYs9Y9vvoFjx8wNIyIiIqZToSN579w5mDIl9e//+z/15kieSK5XD9q3h+RkmDTJ7DgiIiJiMhU6kvfefx8uXoR69eCee8xOI4VUdHQ05x5+OPXGjBlw4YKpeURERMRcKnQkb9ntMHly6t/qzZE84Ix3ABYWLFjAB/v3czosDGJjU4sdERERKbJU6EiesdvtXJwwAS5cIKVmTejRw+xIUgilOBMBg3LN21OuRQfWN2+eOuODD8DpNDWbiIiImEeFjuQJu93O9IkTsb3/PgA/16uH/eJFk1NJYeYTGIRPYBA76tbFGRICx49z/uOPsdvtZkcTERERE6jQkTzhcDhouH49fvHx2MPLsb1mTSIiIoiKiiI6OtrseFJIOeMdpHh4sqZuXQAcr77KlClTVOyIiIgUQR5mB5BCyuGgxbp1AOzoNwjDamPBggUmh5LCLu0wtsjHniZl3TrCIyMpc+gQDoeD4sWLmx1PREREbiD16Eie8Jszh4C4OGLLlGVf2/aknUNRrXN3StVtYnY8KewqVCbi3p4ANF+/3uQwIiIiYgYVOpL7EhII+PBDAHY++AiGR2rHoU9gEL7BoXj5FzMznRQRBwYMAaDmnj3YIiJMTiMiIiI32jUVOlOnTqVSpUr4+PjQrFkzNm3alK37ffPNN1gsFrp163Ytm5V8zm63ExUVhX3SJGwnT2IPDOTQnbpujpjjYvWbiGzWEqth4PfJJ2bHERERkRssx4XO3LlzGTVqFOPGjWPLli3Ur1+fLl26cPr06Sve78iRIzz77LO0bt36msNK/mW325kydSoff/ghxhtvALC2VStcXl4mJ5OibE+fBwHw/eorTu7dq0EJREREipAcFzoTJ05kyJAhDB48mNq1azNt2jT8/PyYNWtWlvdJSUmhf//+vPTSS1SpUuW6Akv+5HA4SHY6aXcxkRJ2O3FBwWxp2NDsWFLERdRrwOmSJbE5HPw9ciRTpk5VsSMiIlJE5GjUtaSkJDZv3syYMWPc06xWKx07dmT9FU74ffnllylVqhQPP/wwq1evvup2EhMTSUxMdN+OiYkBwOl04jT5AoBp2zc7R36TkpKCzTBoMO9rAP7pdT+Gtze4XFgMA6vVCi4XpKSku53ZPCDby2peztdTlNrX5UxkY8uWdP3xR27d9jd/tmjBxYsX8fPzy5P3gT4f8pbaN2+pffOW2jdvqX3zVn5r3+zmsBhG2p7P1UVGRhIeHs66deto0aKFe/ro0aNZuXIlGzduzHCfNWvW0LdvX7Zt20ZoaCiDBg3iwoUL/PDDD1luZ/z48bz00ksZps+ZMyfPdlDk+pVfvpxGkyeTWLw4S2bMIMXb2+xIIlgTE+k8dCjedjt/PvcckbfeanYkERERuQ4Oh4N+/fpht9sJDAzMcrk8vY7OxYsXefDBB5k5cyahoaHZvt+YMWMYNWqU+3ZMTAzly5enc+fOV3wwN4LT6WTJkiV06tQJT09PU7PkJ6ciI/F55BEA9j/0OKcDwzjx5yqqdLiHxIsX3H/7BoVwIeJglvPsRw8QnGQnNrgCviElr7is5uV82aSY80WvfbevomL3PtSbPYMyX39NmZEjCQsLy5P3gT4f8pbaN2+pffOW2jdvqX3zVn5r37Sjva4mR4VOaGgoNpuNU6dOpZt+6tQpSpcunWH5gwcPcuTIEbp27eqe5nK5Ujfs4cHevXupWrVqhvt5e3vjnUlvgKenZ75oXMhfWfID/19/JSg6msTA4hzqPxgjOir1ubZaMSwW99/YbOluZzYPyPaympfz9RTF9t3f435u/nI25Y4fJ3rrVjwv+UzKC/p8yFtq37yl9s1bat+8pfbNW/mlfbObIUeDEXh5edG4cWOWLVvmnuZyuVi2bFm6Q9nS1KxZkx07drBt2zb3v3vuuYf27duzbds2ypcvn5PNS37lchEwaRIAu/s+SHJAgLl5RC6TEBzCkc53AeA/c6bJaURERORGyPGha6NGjWLgwIE0adKEW265hUmTJhEXF8fgwYMBGDBgAOHh4UyYMAEfHx/q1KmT7v4lSpQAyDBdCrDvvsNz/37ifXzY1/P+vD0eUuQa7en7AFV//QGfX3+FI0egUiWzI4mIiEgeyvE+aZ8+fThz5gxjx47l5MmTNGjQgIULF7qPeY+IiEgd9UiKBpcLXnkFgA3Nm+MMKKZCR/KlC1VrcLBKFaoeOgQffADvvmt2JBEREclD17RPOmLECEaMGJHpvBUrVlzxvp9++um1bFLyqbivvsL/n39ICQhgY7Nm6GBEyc82NG+eWuh8/DGMHw/FipkdSURERPKIul7kmtkvXCB29GgA1jRqRKKvr8mJRK7sQLVqJFetCjExcIWLHIuIiEjBp0JHrlnK998TdvIkSX5+HHxomNlxRK7OaiVu6NDUvydPhpQUc/OIiIhInlGhI9fGMCj23nsA7OvZD6N0WZMDiWSPo0cPCA6Gw4fhChcuFhERkYJNhY5cm99+w3PHDpI8PdnT90Gz04hkW7TDQewDDwCQ/M47JqcRERGRvKJCR3LOMODllwH485ZbSCwRZHIgkatzxjsACwsWLGC6hwcpViseGzYQu3y52dFEREQkD6jQkRyx2+2c+/pr2LQJl48P6zK5UKxIfpTiTAQMyjVvT+megzjc7jYAbO+/b24wERERyRMqdCTb7HY7U6ZMIe4//wFgQ8OGOAICTE4lkjM+gUH4Boey78GHU2//8gscP25yKhEREcltKnQk2xwOB+X37qX88eMke3mz7+HHzY4kcs3O31SbIxUrYklOhilTzI4jIiIiuUyFjmSfYdB25UoAjvR9kJRyFUwOJHJ9NjRvnvrHjBkQF2duGBEREclVKnQk27zWraNiRAQpXl7qzZFCYd9NN5FcsSKcPw+ff252HBEREclFKnQkewyDgHffBeBA1+4khJU2OZDI9TOsVk737QukDjVtP3/e5EQiIiKSW1ToSPYsW4b3hg0k22zsHPCw2WlErlvacNOfWa0keHvjcegQC598ErvdbnY0ERERyQUqdOTqDAP+7/8A+KtJE+JLhpkcSOT6pQ03Xart7Rzq3geApmvW4HA4zA0mIiIiuUKFjlxV3Lx5sHEjLh8f1rRqZXYckVzlExjE0UdG4LJaqXL4MB67dpkdSURERHKBCh25IvuFC8Q8/TQA6xs1Iq5YMZMTieS++PByHGvXEQD/mTNNTiMiIiK5QYWOXFHKggWUiYwkydeXfUOGmx1HJM/s6fMgAD4LFnBq+3adqyMiIlLAqdCRrLlcFHv7bQD29X4AV5lyJgcSyTtR1apzPLwcVqeT3SNHMmXqVBU7IiIiBZgKHcnavHl47tlDgrc3u+8faHYakTyV4kxkQ4vUC4g22/Y3hsOhgQlEREQKMBU6krmUFBg/HoANLVqQFBhobh6RG2BXrVrEhZXG136Bujt2mB1HREREroMKHcncnDmwZw+uEiXY0Ly52WlEbgjDZmNvz/sBaL5hQ+rQ6iIiIlIgqdCRjJxOeOklAGKHDSPRx8fkQCI3zsGuPXD6+hJ2+jReq1ebHUdERESukQodyWj2bDh4EEqWxPHQQ2anEbmhkgIDOXTnvYCGmhYRESnIVOhIeg6HuzeH//4Xw9/f3DwiJtjbuz8G4LNsGezZY3YcERERuQYqdAQAu91OVFQUMa+9BpGRJJcrR1S3bkRHR5sdTeSGu1i+Ivtq1Ei9MXmyuWFERETkmniYHUDMZ7fbmTJ1Kh4xMYz8d6fu5yZN2P7ZZyYnEzHPhhYtuGnfPvjsM3j1VQgJMTuSiIiI5IB6dASHw0Gy08kdhyLwTUjgVKlSnB8ykmqdu1OqbhOz44mY4kilSjhr14b4eJgxw+w4IiIikkMqdASAYnY7tX9cAMAft92Gd1AovsGhePkXMzmZiEksFuKGDk39e8oUSEoyN4+IiIjkiAodAaDdypV4JCVysnbd/52bIFLExd97L4SFQWQkzJtndhwRERHJARU6gm3/fhps3QrAnw8/ChaLyYlE8ofoixe5OGAAAMnvvqsLiIqIiBQgKnSEYm+9hdUwON6qLadvrmt2HBHTOeMdgIUFCxYwDUi22fDYupXYRYvMjiYiIiLZpEKnqNuwAd9ff8UAtj060uw0IvlCijMRMCjXvD1l73uQg51uB8D2wQfmBhMREZFsU6FTlBkGjBoFwLYGDbBXrW5yIJH8xScwCN/gUPY/8HDq7YUL4fBhk1OJiIhIdqjQKcrmzYP163H5+vJHhw5mpxHJt+xVqnGgalUsLhe8/77ZcURERCQbVOgUUfZTp0h+9lkAzgweTGxgoMmJRPK3Dc2bp/7xyScQE2NuGBEREbkqFTpFkN1u56+BA/E4doyYYsX4pEQJsyOJ5HsHq1UjoUoVuHiR+ClTzI4jIiIiV6FCpwhKiIjg1hUrAPjnqf8Q1LiluYFE8jlnvAMsVpbUrg1A4jvvYD93zuRUIiIiciUqdIqggHffxScxkbM1a3Py/kF4+RczO5JIvpY2CtvZISNJCCxOifPncS1YYHYsERERuQIVOkXNzp34ffEFAFueeBasegmIZJdnydIcuK83AP4zZpicRkRERK5Ee7lFiWHAyJFYXC5216zJ6YZNzE4kUuDs696HFKsVrz//hD//NDuOiIiIZEGFThHi+Owz+OMPXN7eLO7Sxew4IgVSfMlS/FOnTurfr79OVFQUdrvd5FQiIiJyORU6RYT9xAmSn3wSgFUtWnAhKMjkRCIFkzPewYbmLQDw+uknvn77baZMnapiR0REJJ9RoVNE2N54g8CYGGJKl2Hf0CfMjiNSYKU4EzlZtgxRdetjc7m47cQpkp1OHA6H2dFERETkEip0ioK9e/GfPh2ALaPGYAsONTmQSMG3r99gAGr+/gueSUlER0dz6tQpk1OJiIhIGg+zA0geSxuAwOlkX/XqnLi1LVy8YHYqkQLvRKu2xJavSMCxo9Tf9jcLvLywWq3Uq1ePmJgYQkJCzI4oIiJSpKlHp7D7/ntYvBjDy4uFt98OFovZiUQKBcNm4+CDDwPQfMN6yt3SlvCmbQCIj483M5qIiIigQqdwi4mBkSMBiH38cc7rF2aRXHW0e1+S/PwJOXeOqjv/wbtYCbMjiYiIyL9U6BQydrudqKgooqKiSHz2WThxAqpWJfYJDUAgktuSAwLYe8fdANT85guT04iIiMildI5OIWK325kydSrJTifljh3joVmzUmdMnw6+vuaGEymkdt3TnZsXfEvpzZsosX8vyUHeZkcSERER1KNTqDgcDpKdTio0bkX3pX9gMQzO3XsvUbVrEx0dbXY8kUIpNqw0u2rXBqCWenVERETyDfXoFEKNfvqBoKOHifPz5+ObbiJ+xgyzI4kUautbtqTOzp1UWrqQ/T3vNTuOiIiIcI09OlOnTqVSpUr4+PjQrFkzNm3alOWyCxYsoEmTJpQoUQJ/f38aNGjAF1/oV8+8EnrmDHU+Tb1mzsLbuxDS4S6qde5OqbpNTE4mUnhFhodzslFTrCnJVP35Z7PjiIiICNdQ6MydO5dRo0Yxbtw4tmzZQv369enSpQunT5/OdPng4GBeeOEF1q9fz/bt2xk8eDCDBw9m0aJF1x1eLuN00u3777E5nRxr2px/6tbFJzAI3+BQvPyLmZ1OpFDb3W8QAJUWL8Zit5sbRkRERHJe6EycOJEhQ4YwePBgateuzbRp0/Dz82NW2onvl2nXrh333XcftWrVomrVqjz55JPUq1ePNWvWXHd4SS/ggw8Ij4wksVgga556TtfMEbmBIlu04kLlqngkJBDw1VdmxxERESnyclToJCUlsXnzZjp27Pi/FVitdOzYkfXr11/1/oZhsGzZMvbu3UubNm1ynlaytmULAZMmAfDXM2NwhISam0ekqLFY2NVvIAABn3wCiYkmBxIRESnacjQYQXR0NCkpKYSFhaWbHhYWxp49e7K8n91uJzw8nMTERGw2Gx9++CGdOnXKcvnExEQSL9lJiImJAcDpdOJ0OnMSOdelbd/sHOkkJODx4INYkpPZdfPNHLntdiyxdqxWK7hckJKCxTDcty/9Oz/OA/Jttvw4L6frUftefxtmNe9ohy40nDYZ39OnSf78c4xBg0z7WCiM8uXnbyGi9s1bat+8pfbNW/mtfbObw2IYaXs+VxcZGUl4eDjr1q2jRYsW7umjR49m5cqVbNy4MdP7uVwuDh06RGxsLMuWLeOVV17hhx9+oF27dpkuP378eF566aUM0+fMmYOfn1924xYZtT/9lOo//EBC8eIsf/99kooXNzuSSJFV7fvvufmzz7hYrhx/vP8+WDWKv4iISG5yOBz069cPu91OYGBglsvlqNBJSkrCz8+P7777jm7durmnDxw4kAsXLvDjjz9maz2PPPIIx44dy3JAgsx6dMqXL090dPQVH8yN4HQ6WbJkCZ06dcLT09PULADxCxYQ2LcvAIcnTeLLmBiqdLiHxIsXOPHnKqp0uAffoBAuRBx0387P8+xHDxCcZCc2uAK+ISXzVbb8Oi8nyybFnFf7XmcbXmkeLhclju3m9kcfxRYbS/SsWVjuucf0z63CIr99/hY2at+8pfbNW2rfvJXf2jcmJobQ0NCrFjo5OnTNy8uLxo0bs2zZMneh43K5WLZsGSNGjMj2elwuV7pC5nLe3t54e2e8urinp2e+aFzIH1li9uzB9tBDAGxq2pTfL1xInWG1YlgsuFyu1F+TbbZ0t/P7vLTHkB+z5cd5OV2P2vf62zCrec4EB8n+/mysX5+Wa9cSN348X0ZFMWL4cIqrpzXX5IfP38JM7Zu31L55S+2bt/JL+2Y3Q46PqRg1ahQzZ87ks88+Y/fu3QwbNoy4uDgGDx4MwIABAxgzZox7+QkTJrBkyRIOHTrE7t27effdd/niiy944IEHcrppuVRKCt6PPIK/w8HZqtU4+NaHulaOiMlcziQAIh57ihQPDypGRBB26BAOh8PkZCIiIkVPjnp0APr06cOZM2cYO3YsJ0+epEGDBixcuNA9QEFERETqibn/iouL4/HHH+f48eP4+vpSs2ZNvvzyS/r06ZN7j6Ioeu01vNeuJcnTk7WvTcS7TDheidqZEskPUipX53jX7lT8/ltarltndhwREZEiKceFDsCIESOyPFRtxYoV6W6/+uqrvPrqq9eyGcnKsmXw72ANv9x9N/EVKuFrciQRSW/fQ8Oo+P231Nq9mzOHDkGZMmZHEhERKVI0HFBBc/gw9O4NLheOvn3ZUb++2YlEJBMXq9/EiZZtsAD+06ebHUdERKTIUaFTANjtdqKiojh58CDOu++Gc+dIatCAQ888Y3Y0EbmCXf0HAeD37bdw+rS5YURERIoYFTr5nN1uZ8rUqcyYPp3oe+/Fc9cuYgMCmNK+PfN//dXseCJyBacbNOZ4eDiWxESYPNnsOCIiIkWKCp18zuFwkOx0cu/eg9TZuZMUm41ve/WieJduGmVNJL+zWFjbqlXq31Ongt1ubh4REZEiRIVOAdDor79o8M2XAKx98jmOVayIT2AQXv7FTE4mIlez56abcFavnlrkfPSR2XFERESKDBU6+Zz3smXc9e8hartGPMP+zneYnEhEcsRqJe6JJ1L/njgRdE0dERGRG0KFTn62YgVBQ4ZgNQwO3nkve4aPMjuRiFyDY7feSnL58nDmDMyaZXYcERGRIkGFTn61bh3cfTeWhAT2Va/OxufHgsVidioRyQFnvAOwsODnn1lUrx4ArjffhKQkc4OJiIgUASp08qM//4Q77oC4OBJbt+bb3r0xPDzNTiUiOZTiTAQMyjVvz5lHnyTW3x/r8eMwZ47Z0URERAo9FTr5zfLl0KEDxMRAmzacmz2bFE8VOSIFmU9gEJ6hpVnfsmXqhDfegJQUc0OJiIgUcip08gm73c75Tz7BuP12iI0luXVr+OUX8PMzO5qI5JK/mjTBVbw47N0L339vdhwREZFCTYVOPmC/cIENDzxA8SFDsCQlsatWLd7u0IH9J08SHR1tdjwRySVJ3t6c6dsXAOdLL2G/cMHcQCIiIoWYCh0T2e12og4fJmXQILr88gtWw+BA1+6see1dkixW5syZw4IFC8yOKSK5IG1ggs+KFyfJ0xPPf/7ht6eewq6LiIqIiOQJFTomsdvtfPnKK7hatSL4xx9xWSxsHvkc29/6AJufP2knMJeq28TsqCKSC9IGJgjpcBcHe9wPQMvly3HoujoiIiJ5QoWOGQwDpk9nyPvvEx4ZSUJAMb584AH29H0w3RDSPoFBePkXMzGoiOQ2n8AgDg97khRPTypGROC5caPZkURERAolFTo32r59cPvtFP/Pf/ByOjnVoDE/TpnJ4apVzU4mIjdIQlgZDt15LwABkyebnEZERKRwUqFzo5w6BU8/DTffDIsXY3h7s6hLF5ZO+YTY0mXMTiciN9iuBx7CZbHgs2IFqFdHREQk16nQyWV2u52oqCj3v5NLlxI3eDBGpUowaRIkJ8Ndd3Fm6VI2tGgBVj0FIkVRbHg5/q5fP/XGSy+ZG0ZERKQQ8jA7QIFjGOlu2u1298nEsbGxzPv6a0JPnKDagQPctGcP4ZGR7mWPly+P5aWXsN5+u4aNFhFWt25Ngx07sPz+O2zaBLfcYnYkERGRQkOFTk4kJOAREkKH4GBsdeqQFBTEwQMHIDkZP4eD4nY7o8+cweOSK56nWK0ca34rO+64my3J8RARATNmmPggRCS/OB8SwoW77iLop59wvvginosWmR1JRESk0FChkxMREVgcDoo5HHD8OF5Ao0wWc/r5c6ZFKw7Xvpl1PjbK3vcgCTHnYcNyyjVvj09gEDFREZze8deNfgQikk+kXVfni4oVGWGx4Ll4MbHLlxPQvr3Z0URERAoFFTo5UaUKzt272fTttzQLC8MREcHm9esJqn4zRtnyRBvJ7Dp/itDeD+EbWorzR/bj2LA83Sp8AoPwDQ5NLXxEpMhKu66O/109Obh7H9WXLsLj9ddBhY6IiEiuUKGTEx4eULUq0fXrc7JxY86fP88qLy+qde6Ob3Ao54/s58KG5YRqgAERySafwCB2DxlB1WWL8Vm6FP76C5roQsEiIiLXS3vkORQTEwPA7NmzWbBggclpRKQwuFi+Itvr1QMgYcwYoqKisNvtJqcSEREp2FTo5FB8fDwA4U3bUKqufnUVkevnjHewuk3b1OvqLF3Kz+PHM2XqVBU7IiIi10GFzjXyLlYCL/9iZscQkUIgxZnIuZBgDnboBECXv/8h2el0D10vIiIiOadCR0Qkn9g9ZASG1UrFjesoc8k1uERERCTnVOiIiOQTFytU4tjd9wHQ/o8/TE4jIiJSsKnQERHJR3YPH4XL5kH1Awfw3LjR7DgiIiIFlgodEZF8JK5iZQ52Te3VKfbGG2AYJicSEREpmFToiIjkMzsGDyXZZsN740ZYvNjsOCIiIgWSCh0RkXwmvmQYf95yS+qN//5XvToiIiLXQIWOiEg+tKZVK1z+/rBlC+jixCIiIjmmQkdEJB9y+Ptz5oEHAEh54QVISTE5kYiISMGiQkdEJJ9xxjsAC7ODgnD4+mLbuxfHzJlmxxIRESlQVOiIiOQzKc5EwKBkuzv4p98AALxefx2SkswNJiIiUoCo0BERyad8AoM41P8hLgYE4HHsGPa33iIqKgq73W52NBERkXxPhY6ISD6WYBisbNcOAM/XX+ez999nytSpKnZERESuQoWOiEg+luJMZEvDhlwoXwG/+HjuOHSMZKcTh8NhdjQREZF8TYWOiEg+Z9hsbBvxDAA3//AdgerNERERuSoVOiIiBcCJVu0406Q5HkmJtP/jD7PjiIiI5HsqdERECgKLhX/+MxaA+n//jcc//5gcSEREJH9ToSMiUkCcr9uAIx1vxwIEvvIKGIbZkURERPItFToiIgXItsdGkmyz4b16NSxaZHYcERGRfEuFjohIARJXthx/3nJL6o3nnoOUFHMDiYiI5FMqdERECphVrVuTUqwY/PMPjqlTzY4jIiKSL6nQEREpQJzxDhL8/FnSsiUAxpgx2I8eNTmViIhI/qNCR0SkAElxJgIGkU+M5nyFivg7HNhee83sWCIiIvmOCh0RkQLIO7gkW54eA4D/7Nmwe7fJiURERPIXFToiIgXUyWYt2XPTTViSk+GppzTctIiIyCVU6IiIFGCLO3fG8PKCxYvh55/NjiMiIpJvXFOhM3XqVCpVqoSPjw/NmjVj06ZNWS47c+ZMWrduTVBQEEFBQXTs2PGKy4uISPadDwkhbsiQ1BujRmE/fZqoqCiioqKw2+3mhhMRETFRjguduXPnMmrUKMaNG8eWLVuoX78+Xbp04fTp05kuv2LFCu6//36WL1/O+vXrKV++PJ07d+bEiRPXHV5ERCD2ySehTBk4eJAtDzzAjBkzmDFjBlOmTlWxIyIiRVaOC52JEycyZMgQBg8eTO3atZk2bRp+fn7MmjUr0+W/+uorHn/8cRo0aEDNmjX5+OOPcblcLFu27LrDi4gInElI4MJ//wtAq+XLqVmpJuWatyfZ6cThcJicTkRExBweOVk4KSmJzZs3M2bMGPc0q9VKx44dWb9+fbbW4XA4cDqdBAcHZ7lMYmIiiYmJ7tsxMTEAOJ1OnE5nTiLnupS0q5C7XFgMA6vVCi4XpKRc8bbmZX9eWvvmx2z5cV5O16P2zdv3641sX2eCA6vVxg8//ACGwQOVK1P58GFaTZ/Circ+wGq1kpKSYvrnZm5JexyF5fHkN2rfvKX2zVtq37yV39o3uzkshpH9YXoiIyMJDw9n3bp1tGjRwj199OjRrFy5ko0bN151HY8//jiLFi1i586d+Pj4ZLrM+PHjeemllzJMnzNnDn5+ftmNKyJSpAQcP077p57CmpzMpv/8h6hLPqdFREQKC4fDQb9+/bDb7QQGBma5XI56dK7XG2+8wTfffMOKFSuyLHIAxowZw6hRo9y3Y2Ji3Of2XOnB3AiRkZFs27aN2OAKJMbFcOLPVVTpcA++QSFciDiY5e3Eixc0Lxvz7EcPEJxkJza4Ar4hJfNVtvw6LyfLJsWcV/vm4fvV7PY96l2CtS1b0nrVKurMms1yDw/6P/YYYWFhpn5u5han08mSJUvo1KkTnp6eZscpdNS+eUvtm7fUvnkrv7Vv2tFeV5OjQic0NBSbzcapU6fSTT916hSlS5e+4n3feecd3njjDZYuXUq9evWuuKy3tzfe3t4Zpnt6epreuDabLfUPqxXDYsHlcoHVCjbbFW9rXvbnpbVvfsyWH+fldD1q37x9v5rdvqtat6bBgUMUizxOmz/+wDZ8uOmfm7ktP3wXFGZq37yl9s1bat+8lV/aN7sZrDlZqZeXF40bN043kEDawAItrnCIxFtvvcUrr7zCwoULadKkSU42KSIiOZDs6cmfz6YOTNBswwZi16zRcNNSKNntdr22ReSKcnzo2qhRoxg4cCBNmjThlltuYdKkScTFxTF48GAABgwYQHh4OBMmTADgzTffZOzYscyZM4dKlSpx8uRJAAICAggICMjFhyIiIgBRzVtxpE0HKq36A7+nnmLmww9j2Gx4eHoyYvhwihcvbnZEketit9uZMnUqyf+ekKzXtohkJseFTp8+fThz5gxjx47l5MmTNGjQgIULF7qPAY+IiEgdEehfH330EUlJSfTs2TPdesaNG8f48eOvL72IiGRq/aPDKb1xLeGRkdx9Po6td9/L8Q3LcTgc2hmUfMtut6cbEj05ORkPj9RdFT8/P/dr1+FwkOx0Uq55e4AcvbYv3cal6xSRwueaBiMYMWIEI0aMyHTeihUr0t0+cuTItWxCRESugyMklEVdunDvTz9Rf+aHHG/VjuNAdHQ0oB08yX8u76VJ4+twEHT+PMEXL3Jno0b4xsUReOQIPf76ixJL/sCW5CTxdCQhP/0EXl7g7Z36z8cH/P1JLFaMpOLFcYWGEufvz2+7d3MmMJAkb+8MPUGXFkGXFlmg94xIQXRDR10TEZEbZ1vDhtwSdYYyf66n2asvsrV7NxYsWADoUB/Jf+KPHaP83r3c5B1AqYgIAvbtpljkcXwuua4e33wDgD9Q5/IVHD2a6Xq9//0HUBx4JG17JYKIDvDHc9cuuPVWYqtXZ/qaNcSnDSpiscAlV+DQe0ak4FGhIyJSWFksbHx+HHc92IOwf/6mafmyRD35PJCzQ31Ecp1hwJ49sHo1rFkDq1dT+sgRBmSxuCMklGg/X2IDAnD4+eHw98fh50eJhs1xeXhyYvdWmrZuTWBAAJakJLwBP5uNmBMn+HvZMkr5F8cvLg6vkycoduI4fvHx+F44T/kL5+Grr+CrrwgAnrVYOF+pCpE1a7EnwJek7v2gYlUSYs7rPSNSAKnQEREpxOLKlGXnsy/Q4OX/0nHpUn57+AniypYzO5YURWfPwuLF8PvvsGgRnD6dYZFzQUHE1m/MxfqNiCxRnP1nThDccyBxSQkc37Cccs3b4xMYRExUBKd3/EW1zt1xxjs4aktm1/nzcP488L/eF4fDwR8WC9U6d8c3OJTzR/ZzfMNyarXsRMCJYzh+mcftZcsSsH8/KZs3YztzhpDDBwk5fJC6APPmEVO1OsebtWSTJ/DvYXWXn0ukw9pE8icVOiIihdyhvgMI+34uZXb8TfMJ41k2eYbZkaSQSysErCdOELhoEb6//QYbNoDL9b+FfHygeXNo3RpateJkxYpM/+abdEXJmQ3LKe7jC0kJqXcJDMI3OJSEmPPu1aQ4EwHDXQRd2vuSFWdAMc7fVJsDR+tyU/fuhIaGEh0dzeJPP6VpcFlCNq0jZONawk6fJvDgfmof3E9twPX99yR17MgSb2/2VqlC8r/X8tBhbSL5kwodEZHCzmpl9dOjuW/oQEpv3sRN877iQJC/2amkkIrZvZuNzz5Lre3bKX/8ePqZderAnXfCHXdAy5bY4+PdBUnaQBnXKq0ISnO19TnjHYDFfd4aAIGBHOvQmf1NmnK8UT1qN7+NCnt2UXLRL4StXIZ/TAxeCxbQE0jy9eVEm9vY37IVGxPi3Ie1qbdHJP9QoSMiUgRcLFuORV26cPevv9Lwo8n8+fDDZkeSwiQxEX78ET75hGJLltD535P4DYuFoxUqEDR0KMUffBDKl3cXArFHj/Ltt9+SnJycq1EyLWAycXlPUNrhcJdKCizOidu7srtufSKaNqLsiePU2r2bm3fupITdTuVFv1B50S+09PeH8+e5+PDDTPntt3Qjx6X19vj5+eXq4xSRq1OhIyJSRGxu0oSG5y8Svm4V3efP58xDD7nn6VdnuSY7dsAnn8CXX6aegwNYgIjy5TnVsz/H2nVkx9Y1dO/alVAPD2L3789Q3Fyp0LgWlxYwSXEXr7rOzA6Hy2ydhtWCpdcAtsddZOn2P2lethpV16wg/JfvCTh/DqZMgSlTuL9yZY72eZCTd9yLIz7WfRidCh2RG0+FjohIUWGxsOG/L3HnA90JO32aQyNHMr9LF0DnGEjmMr24ZkoK/PQTye++i8fatf9bODwcBg3i9N13M3vRIvdAAZn1rlxahGSn0LgWPoFBubq+dOu0WIiuW5+4trfx5yOPY5v6JvecPo33ypVUOXyYKm+8TPysGezp3ofoQO8rr1RE8owKHRGRIiQhOITVTz1H5/H/pcX69cTdP5ijNW7S0LmSweUX8PRPSWG4tze+H38MR47gAbgsFvbUrMn2pk254733KB4cTEpUlHsdWR0elhdFiFlcnp7sq12b1pMmYTt2jN3PPUfTXbvxO32ShtMmc7OnJ87Tp2H0aLOjihQ5KnRERIqYY81v5a/GjWmyeTO3vjaOC7O/4fjV7yZFjMPhINnp5KaqN1Nn/lyq//YT3klJALiCglh3880cf/RJ4kqW4viG5bRNTCSrMjmvem3ym5Ty5VnRoQORr7xH9fVrqPrxVIIO7MPr008xPvuMxrfeytmAAIzatQEdMiqS11ToiIgUQYu7dKHGmWgCI47S4pUX2Nmpg9mRJJ+xHT5M1x9/pP6OV7H9e06Ns0YNPJ99llMdOrDsyy+pVvUmfEzOmV9cOsqby9OTiG692Nu6HSnT36X3iRP4LFtGuTVrMDp1YletWqxs25bz5cq5DxnVaG0iuU+FjohIEeT08mL1K+9w+9AHCV+/hlv9vInu2RPQDlaRt2MHvPMOJefOpdS/17052agpS2rfRMc336RM2bJwyeFpadJ29K93mOiC5oqjvFksHK5ShfNvvIF1xw5Sxo2j7IYN3LxrFzfv2sWuWrVIatUKe/366Q4TBJ03J5IbVOiIiBRRF6rfxLYXX6Xx/z1Lhz/+4POJEzlaqZJ2sAq5LHsOdu+myVtv4bluHZA6etq+6tU5/OyLRNdtwKHFC4g+ezb1RPxLipnsDudcWGVnlLfo6GhcYWEcef55POxO6n/9OeGLfqH27t0Y7dtz/r778KlYkRKd781w0VO9D0WunQodEZEi7GiP+wlcsYTqSxfR66ef+WHqxxzY+7d2sAqpywcYAAi5eJGhkZF4zp1LuMuFYbFg6dmTM488wtfr11OtboMrFjPZuR5NUZDZAAuXtpvVaqVevXpcqFqdTZOmY12znJveeYVae/YQPH8+Iz082Hv2IoeeeBYK0WANImZSoSMiUpRZLKwb8TTF/95CqTNnuO3t1zl01+1mp5I8kjbAQLnm7SmRlEytGR9w028/Yfv3ELWoZs0I/egjPBs2JDkqCtavB7JXzBSVAQdy4tJ2c8bFACnueWfLlePbvn1pVCyUpjOmUHrvHup8NpPqP81n++BHOejv4e450+GkItdGhY6ISBGX7OPLvN69GTp7NqW3/ElnDwsMG2Z2LMkjPg4HLb6YTY353+CRkADAwSpVWNGxI6F33kmrChUIyeq+KmauiU9gEBbDgMQLGebFtGjDr7XrEPDpR9y+fiPFI47QdOIEKpQqxcKICI5UrqzDSUWukdXsACIiYr7okiVZN3YCAM02bcL3669NTiS5zunE7+OPGfn++9T+6lM8EhI4VbsOnw4cyIoPZ2O5rx8A8fHxJgctgiwW9tSqxa9fLmDruAkkBBYn7PRpBn72GQ8uW4HfmTPpzqsSkexRoSMiIgAcb9Oev4cMByDw+eeJ/vlnoqKisNvtJieT62IYxH3zDck1a1J87Fh8ExI4X7U6a6d/wS/vTuFo5cr4BAbhXawEAGfPniUqKqrIjZ6WHxgeHhy+fyDzPvmSP5s2xWW1UmX1CkZMmULApEnwbw+ciGSPDl0TERG3rb3747nmD2rv3o13v358MWQIjtBQHTZTwKSNrOaxcyf+Y8fi/++5NrH+/izv0IGLo1/Gp2QYHNnvvo8zIbXH4KeffsL17zk7Yo6kYoH8dtddnB4xmqYTJ1Dq7y14vvUWfP89TJ+OvVEjdw+Pzt8RyZoKHRERcUtJcfJDt26Ujk8k+MghBn7/AzP69NYobAWI3W5n9htv0GbxYhpu2YIFSLbZ2NmjL392vZcTB3dRzWbLcD+XMwmA8KZt8C4eXGRHT8tPLlS/iSUfzsZn4st0W7MG2/790KEDRxo1YlHHjsT7+en8HZEr0KFrIiKSjtPbm5UTPyK+VGmCjxymz9y5kJRkdizJjoQELG++ybCJE2n0b5FzoGVrpowYwT9P/QdLybCrrsK7WAl8g0Px8i+W93nl6iwW/qlblz0LFhA3cCCGxUL9LVt4YvoM2sQnk5yUpPN3RLKgQkdERDJwlC7Duumf4/Tzo/KRIxR/5hkwDLNjSVYMA+bOhZo1CZwwAe+kJKJr1WHFnB9YOfZV7EG6LktBlXYtnu+WLOGdypWZNXgwp0uWxNd+gfZvvkr/L7/EdvSoe3m73U5UVJT7n86xk6JMh66JiEim7LXqsPrVd2n3zOP4zZ8PY8bAG2+YHUsut2kTPP00rFsHQEqZMvzYvDnxz4zDN7RUuvNwpODJ7BpG08uWpevpC9T9dAbVDh7E1aEDvPUW9v79mfLRR+kuCKtD26QoU4+OiIhkKar5rfx8zz2pN958E15/3dxA8j/HjkH//tCsWWqR4+cHL73E6dWr2VG/Plj1FV+YpF3DyMu/GC4PD3YOGsqvn3/H4UqVsMbHwxNP4HP33QScPk255u2p1rk75Zq3J9np1KFtUmTpU1BERK5oW8OGRI0alXrjhReIV6+OuWJj4cUXoUYNmDMnddrAgbBvH4wdm1rwSJFwsUIlPh8wAPtrr4GfH97r1jHsww+pu2wJvkEh+ATqkEUp2lToiIhIltLOD5gRGMiKdu0A8B0zBscHH5iaq0hyuWD27NQC59VXISGBxGbNOLNwIVETJmAPCDA7oZjBaiWia1dOL11KXKNGeDmd3PL2q9z6cF/8oyLNTidiKp2jIyIiWbr0/IATne5j+8QJ1Jv/Db5PPpnac/Dww2ZHLBpWrkw9D2frVgCSypfnp1at2FmjBmzYABs2uM/FkKIj7YeIBQsWpE64+25uKVWKTstXELZuNXdt64Httg4aSESKLBU6IiJyVWnnB+wYNYaEiIPc8uef8MgjxEdHc2HAAPdyunhhLtu/H0aPhh9+ACDB25tVbdqwqVkzUjw83CeoJ8Sc5/iG5URERJibV26ozAYq2GS14hw8nFvfeImQrX/R9eefSUhMhC+/hJIlzY4sckOp0BERkeyzWPj9zjup3agRAdOn4/v886xbvJg1bdoAGuEp15w7By+/DFOnQnIy2GzEPfAAH5YqRfBtdxMSd5HTO/5yF6AZftmXIiXtdZAQcx6Ai+UrsvLL76n00XvU+2gyPosXQ926qYc+3nGHyWlFbhydoyMiIjljsXBx7Fgu/jtAwW1//EHP/Ucpd0tbjfB0DdJd9+ToUeInTIBq1WDy5NQi5847Yft2YiZMwOHvj09gUIaLeV76y36puk3MeSCSv9hs7O43iI+HDMFZowacOgV33kncQw8RdeiQrrEjRYJ6dEREJOcsFmKffZb1O3bQeckSbv5qNgEnI/myuXayc8JutzNl6lSSk5KouWcPHZcswffcudSZdevCu+9Cp06pt6Oirro+jbIllztVujTRv/9O8Ftv4T19Ov6zZxP3yy8s6N6dsxUqqAdWCjX16IiISI5FR0cTHR3N+ltvZd3/vYLL05OKyxYx4LPPsJ49a3a8AsPhcFD60CGGLviBPnPnEnLuHLH+/lx4+23YuhX7Lbe4e3uio6PNjisFVHRcHPuGD+fLBx7AERRMqTNnGPLJJzRdsQJHbKzZ8UTyjHp0REQk2zI7F+TwnfeSXK0mzZ54iPLHj5N4xx2c+ewzvBo31i/F/7Lb7ekO6UtOTsbnwAH8X36Zh1esACDF24dd9w/glzIh3N2lC2cOHeLbb78lOTnZpNRS0GV4v1arxm9fLqDlxAmUXbaIzkuWkNinD3zzDZQrZ2pWkbygQkdERLLt0nNBkv49IR4guvmt/Pb+TNo9PYyg48cp0aULv3frRtuPPy6Sxc6lhU1sbGy6gqXEuXO0W7GCetu3YwFcFguH7u7G/lH/5ZQrhaTVi9IVkpeOqJXW3iLZkdn7NTEomA1TZlH2sxk0evd1vNeuhfr14dNPoWtXsyOL5CoVOiIikmOZnQtyrkwZZg55hH7LVlBuy5/c8913xPn4wMyZ4ONjQkpzuM+7cTrTTa9RvS6NFsyj2o/fYfu36DnY4lZ+b9SAoP6P4hscSsqR/Vy+Y3r5iFoiOZXh/WqxcPCeHvwZd45HV67Ea/t2uOceePJJePNN8PY2J6hILtM5OiIikmvi/f1ZNXkG2x96DAPw//JLnI0bc2bp0iIzwpPD4SDZ6aRc8/ZU69ydKqUrcOevv9J7UF9umv8NtuRkDlapwu+ffM2Kca9zNpNrm2Q2sppIbjsXEsK+WbOIHTo0dcLkyTibNOH02rVF5v0qhZt6dEREJFcZNhtb+g9ie1Ic9y2Yj/+uXQR36cLqDh1o+M03FA8JMTviDRF6MY56n0ynwvffuntwohs1ZVPvfvyZYKdarZtBvTRikrTzd+b/8guULUv1/v3ptmABfv/8Q/EOHVh47720mzmzSB56KoWHenRERCTXpTgTOVitKj988hXH2nTA5nLRbulSfDt2hK1bzY6Xpzz++YduCxbQtW9XKs+bgy05mcOVKrFkyies+uoHoho0MjuiSIZrL+2vXp0fZ37BqYZN8E5K4t558/AcMgQ0KpsUYCp0REQk71Ssyp/Tv2Ddi6+R4O2N17Zt0LgxPPYYFKbhklNSiPv6axJvvZWSnTtTf/t2rCkpnGzdnp/fncLngwZxulFTsFjMTiqSzqWHSbqq1GDtl9/z9yOP47JY8Js3j+T69bm4apXJKUWujQodERHJWxYLh+/oyofDhxPfrRsYBkyfDtWrw3vvQXy82Qmv3blzMHkyKdWr49+vH97r1uGyWNhRpw6/fzyHdTO/4vTNdc1OKZJ9Nhtb7x/AZwMHYQ8MxOPQIXw7dCD+rbdS37siBYgKHRERuSEuBgZy4OWXif7+e1Lq1IELF2DUKKhSJbXgueQ6MzeS3W53X5QzKirqiidh2+12ok6c4Ox335HUuzeULQtPPYXt8GHifXz4u3c/vpw2iwU9e3Kudp0b+ChEck+KM5GIShX5+eMvOdr8VjxSUvD9z39IuOMOTu7cybFjx7L1fhExmwYjEBGRPHf5hQs9evfmkb59CZk2DY/jx1MLnjfegGHDYOjQ1ALiBshsKGgPT09GDB+e/iRsw+DiunX888IL1Nq+neDzlwwiUK8e9r59mRobS8W7++KMOQ9RR29IfpG8ZClXieWvvkPYOy/TaclifBYtwnf9en7r2ZNjFSoAWbxfRPIJ9eiIiEieu/TE59INW5DsMpiWnMyEQYP4qWtXLgQFwenT8NJLUKEC9OwJP/4IiYnuHpdTp07leq7Lh4Iu17w9yU5n6sU+U1KIXb6ci6NGkVy9OsVateLWlSsJPn+eJD8//mrcmANff03U778TcffdOL28cj2fiNlSkpPY1LwZv0yeRkz5ihSPiWHQ7NncfegY5Zu2+d/7RSQfUo+OiIjcMD6BQf9e+DK16PEJDOJMq0580KABI8qWJWjOHFi9GubPh/nzMYoX50iVKuyvUoUj1apRvUULYmJiCPl3iGq73e7eyfLz88v2r8pp94v+d0AEn8AgfINC8I86QcjWrfg+9BApGzYQcOGC+z7JNhv7q1fnbN9BHGnSjIN/rYK9e1P/iRRycY2aseL7JdQePZxqfyyh8eefEL5zB1+1a212NJEsqdARERFT+AQG4RscCoDLZiPh3ntTR2Pbvh0+/xy+/hpLZCT1t26l/tatGBYL9ipV8GjVCtq04WL16ny4fDlJ/54gnd1DaOx2Ox++/z7FTp0iNDqa1mfOUH3ZSkru/gef6DPplk3w9uZk41s40fEOdlevxomDu6jW+U4SLyvWYqIiOL3jrzxpJ5H8IjkggJWj/49/Av25e+FCSm/exGO7/yGxUSPo18/seCIZqNAREZF8Ia13JTkoCI9nnoGnniJ+yRJOfvwxtU5HE3RgHyUOHoSDB+GzzygGPA84gkOIKxXGGSt47twJoaHg7w8eHpCYmPovISH10LiTJ/E/fpzRJ05gc7kyZHDZbESWLs2ZNrdx5Oab+Scxlip39MI3OBTLkf1wcFe65dOKtQRd+FOKkL8bNMDWezCtxj5H0IF9+PfvD3//Da++Cp6eZscTcVOhIyIiprp8oAIslvTD2HbuzOHO3fE4doSqG5bj3LiR0pGRlImKwicxEf9zZ/E/d5ZSALt2ZbKF9NK++JJ9fLhQrgKRvt4423XhYovWHPH35ejWdVTr3J2EmPO4NizP5UcrUjjEVKrMwplfUW304zT980946y2Sli4lYfZsAuvVMzueCKBCR0RETHbpQAVJcRc5veOvTA8JiwsM5ETbtpztfC+HigcTE3mU2A0rqVOrMf6noohbtZhW9etTzGqFuDhITgZvb/DxSf0XGgqlSxPt6ckXf/xBqZ6DSIi1c3zDcqp17o5vcCgpR/ab2xgiBUiiK4Xf7rqbw5Urc8+PP+KzZQuuZs2Imz4d/wEDzI4nokJHRETyB5/AoHR/Z3VImHexEu55joAAztW6mXO1buZAUgwNhg6lWJkyQPqBCpKTk/HwSP3Ki46OJqZECUpZNfCoyPVI+5Hi4kPDWdhnMC1feIZSe3bBwIGwfj1MnAi+vmbHlCJMhY6IiBQaaef5xMbG8u2335KcnJw64/LD4UQk1/gEBuGqVJ2lM76gwpiRtFq7FqZNI2nlSi5Mm0ZK9epAzkZGFMkN1/Rz1tSpU6lUqRI+Pj40a9aMTZs2Zbnszp076dGjB5UqVcJisTBp0qRrzSoiIpKpS8/zmTFjBnPmzCE5OZlyzdtTqm4TMAz3tXJK1W1idlyRQinJ6WRZp8588cADxPr747V7NyU6dmTjsGHMmD6dKVOnYrfbzY4pRUiOC525c+cyatQoxo0bx5YtW6hfvz5dunTh9OnTmS7vcDioUqUKb7zxBqVLl77uwCIiIpe79DyfS4sZn8AgvPyLuf/2DQ513xaR3JX2Pkx6YAjfTZ7GocqV8XI66fbjj/RftQ5rbKwuLio3VI4LnYkTJzJkyBAGDx5M7dq1mTZtGn5+fsyaNSvT5Zs2bcrbb79N37598fb2vu7AIiIiWVExI2I+n8AgUspV4MsHH2Tbo0/gstmotnwJQ6dPx2PHDrPjSRGSo0InKSmJzZs307Fjx/+twGqlY8eOrF+/PtfDiYiIiEjBZFit7Bw4hFVfzCcurDQh584R2rUrvP++zpmTGyJHgxFER0eTkpJCWFhYuulhYWHs2bMn10IlJiaSmJjovh0TEwOA0+nE6XTm2nauRUpKSuofLhcWw8BqtYLLBSkpV7ytedmfl9a++TFbfpyX0/WoffP2/VqY29fs7ReG9jV7+wWlfc3efmFo3/zweNP+Ple/Mb/Nnku9UY9y05498OSTJC1ciGX2bAgOzpX9s7T9Q7P3Ewur/Na+2c1hMQwj2yV1ZGQk4eHhrFu3jhYtWrinjx49mpUrV7Jx48Yr3r9SpUo89dRTPPXUU1dcbvz48bz00ksZps+ZMwc/P7/sxhURERGR/MIwqPzrr9z86afYkpNxhIayedQoztWubXYyKWAcDgf9+vXDbrcTGBiY5XI56tEJDQ3FZrNx6tSpdNNPnTqVqwMNjBkzhlGjRrlvx8TEUL58eTp37nzFB3MjREZGsm3bNmKDK5AYF8OJP1dRpcM9+AaFcCHiYJa3Ey9e0LxszLMfPUBwkp3Y4Ar4hpTMV9ny67ycLJsUc17tm4fv18LevmZvvzC0r9nbLyjta3ZbFIb2NfvxZjXvbI8H2F+7Ae1eG0dIdDS3/t//sbJ9ezZ26MCQRx+95v08p9PJkiVL6NSpE56enrm89yf5rX3Tjva6mhwVOl5eXjRu3Jhly5bRrVs3AFwuF8uWLWPEiBE5DpkVb2/vTAcu8PT0NL1xbTZb6h9WK4bFgsvlAqsVbLYr3ta87M9La9/8mC0/zsvpetS+eft+Lczta/b2C0P7mr39gtK+Zm+/MLRvfni8mc3zLh7Mhdp1mTF0KL02/kW1P5bQftkyKh46RPIdd+DZsOF17aflh33Fwiy/tG92M1hzuuJRo0Yxc+ZMPvvsM3bv3s2wYcOIi4tj8ODBAAwYMIAxY8a4l09KSmLbtm1s27aNpKQkTpw4wbZt2zhw4EBONy0iIiIihUCStzcbX32XvyZMItnHhyqHD1Pytttg/nyzo0khkqMeHYA+ffpw5swZxo4dy8mTJ2nQoAELFy50D1AQERGB1fq/+ikyMpKGl1Tn77zzDu+88w5t27ZlxYoV1/8IRERERKRAirivN1EVK9P4mccoGxUFPXvCoEEweTKYfLqCFHw5LnQARowYkeWhapcXL5UqVSIH4x2IiIiISBESU6kynzz8MI9GRVFy1iwsn34KK1bAF19Aq1Zmx5MCLMeHromIiIiI5BZnvAOXhycflS/Pp4MGcaFECThyBKNtW2KffBL7mTNmR5QCSoWOiIiIiJgmxZkIGJRr3p6kbn356LFhbKtfH4vLRcD77+No0ICLf/5pdkwpgFToiIiIiIjpfAKD8PD2IcnHm81vvs+qV98hMaAYZSIjCWjTBqZOBZ0OITmgQkdERERE8hWfwCD+v717D4ryPvcA/t0FlgUV5KJchHARBAWBKIqQtIgaUakNp5MjGo/lGJKYDLZSO+Zomwk1dqqeJCaeSqKJR01sU6tpJNHgBTHgieKNiwFFokgEzHJTWZaLywq/84eVBgTkBZe9+P3M7Iz77u+V5/36OLMP77vv1j/3PL766+co8/WF7M4dYPly6GbNAioqDF0emQgOOkRERERklBqHj8Bf/mMJDs+ZA52lJayOH4cIDgY++ohnd+ihOOgQERERkVFq12kBuQw3Utbgiw92otLDAzKNBnj5ZWhjYvDD6dNQqVSoqakxdKlkhDjoEBEREZFRU9o5oMnXHztfSMLR2bOhs7SEdU4OnKZPx/lly7Bzxw4AQGNjo4ErJWPCQYeIiIiIjF67Tgshl6Fy5e9xaPc/UB0QCGutFvMPHMDSLw7Cpq4Ora2thi6TjAgHHSIiIiIyGUo7B9x9cgoyNr2Po7Nn467CGh755xDz618DaWlQVVVBpVJBrVYbulQyMA46RERERGRyhIUFcqOikPHxXtQETYRVays8NmxA+7RpSH/zTWxJS+Ow85jjoENEREREJkvj5YOMje/h25deQpuNLTxu3MCyjz5CdEYGWurrDV0eGRAHHSIiIiIyacLCAuVxcTj46X7ceGYu5O3tePrkSYyaMQM4etTQ5ZGBcNAhIiIiIrPQOsoFZ/78v8jZsBlqOztYVlQAsbFoW7AANRcuQKVS8fM7jxFLQxdARERERPQoVf00BqfUyXipogJOf/sbFPv2YeQXXyBn+nSciYiAXKnE8uRk2NvbG7pU0iOe0SEiIiIis6JrbUGbtRJp/v74KCkJN9zdYd3WhtlHj+JXuz7GE5cvo6WlxdBlkp7xjA4RERERmZV2nRaAgMe0GLQ1a7DdzQ2xOjnCtv0ZIysrsGT3btyprwfefx/w9jZ0uaQnPKNDRERERGZJaecAxbARgFyOsvm/QObhb3D5359Hh0wG5aFDwPjxwBtvABqNoUslPeCgQ0RERESPBZ2dPfJ+sxrbXnkFTVOmAHfuAOvWocPPD9i6Fbh7F2q1uvOmBbxxgWnjpWtERERE9NjQtbag1sUV78ybh/E+Pph57BicamuBV19F21tv4UhkJEr8/ACZDABgaWXFGxeYKJ7RISIiIqLHRufndyJnQJfyOj7/8BMcmjsXLTY2UFy7hgV//Ste/jwdER7+8JgWg7s6HW9cYKI46BARERHRY0dp5wAbR2fIh4/A2YgIfPaXz5D/b89BZ2kJt6ILmPPiYsz+YypcVCpDl0oDxEvXiIiIiOixZ+HmiYJlv0KOtyd+XloG38MH4flNNl75JhutlZXAxo1AcLChyyQJeEaHiIiIiOifGu3tcfr1PyLzYDbKZ8+DAGCTkQEREoKWn/8cdSdO8EYFJoJndIiIiIiIumny9UPOf72BDD8fTM/+GkGXLsH2wAHYHDiASxMm4ORTT6HO25s3KjBiHHSIiIiIiHrQrtOifvQonN70AYovfouQj9Iw/vJlBF26hKBLl1Dm64ubo0ahJS4OtsOGceAxMrx0jYiIiIioD0o7BzQFhWDvwoU4uPsfuP7sc+iQW2DstWvwfflliPBwZL3yCtQ3bxq6VPoRDjpERERERP2kHuuPvI3/g307P8WZqVNx19oa7ioVfrFnD4ZPnAj86U9AXV2XLx7lZ3kMg5euERERERFJ1OTiisPz5qEy9b8x7h9/w9g9uzFMpQJ+/3uIN9/E9xMm4MyUKVC5u/NLRw2Egw4RERER0QBpHRxR9GIyvnQfhUQbG7js3QvFhQsILShAaEEBagPG44z/WLQ+9xwHnSHGQYeIiIiIaBB0rS1ot7TCDp0OiI/HmPBwTD17FkElJRhdWoL5pSXoyMoCFiwAkpKAp58GZDJDl232OOgQEREREQ1Cu04LQMBjWgyUdg5oVFVgv6cnroRHw+fwAXju+QSj6uuBjz++9/D3B55/Hli0CAgIMHT5Zos3IyAiIiIiegSUdg6wcXSGYtgIAMAdRyeUPP+feD85GWWffIKWhQvRYWsLXLkCrF0LBAYCkyYBb70FVFQYuHrzwzM6RERERER6omttAWRy/OXaNSAwEAofH0z47jvMqquD7alTkBUUAAUFwGuvoW3yZHT87GdQJiTcG4J4edugcNAhIiIiItKT7pe1NdWpUGitRCEEbCIiMKGkBEHFxfD+/nso8vKAvLx7Z3v8/KCdMwdNM2agbfJkwMoKd+/ehaXlvbfvtra2vLnBQ3DQISIiIiLSs/uXtd1pvI37g09bswZ5w4ahZvkqOGh1cDmWgdGHvsTY69chv3oV1lu2wHrLFmgVCpT7+KDc1xdlvr646ewMS4WCt6x+CA46RERERERDTGnn0PXPjs64Mnw4jjnZQ6G9g7FlZQi4fBkB5d9DqWlEYGkpAktLAQBNzqNwdYw7hEIBxMXdu6GBnB+9746DDhERERGREbh/mdvo6Dm4Ga5BetF5+M98Fq41NRjx1edwys6E140bGF5fh7D6OuDCBWDVKnQ4OKB96lRYRUcDERFAWBjg6Nj596rVarS0tAB4vC5546BDRERERGREfny2R1hYoCE4BOXDbVDl5Y6An86Fw7nTsD34GTwrKjDmxg1Y3b4N+ZEjwJEjnfvd9fDA3eBgNI8bh6xbt3DD2RmN9vaP1SVvHHSIiIiIiExEu9IGVaFhqGq9DY9pMbCxHQ7l2ZOwzcyAZ2UF3H/4AQ4NDbCsqoJlVRWUhw9jwT/31VkrUe8wEoozZ+6d9QkIuPfw9r53BsjM7vLGQYeIiIiIyAQp7RygdHTG7eBQFDXdwo3frEFbswbqs/+HiU7ucLlRhREX8jDyUjFG3bwFK+0duFVXA19+ee/xIx02NhCenrDw9gaeeALw9ATGjAFcXCBzcoJNXR2g1QJWVoY52AHgoENEREREZAbuX/KmtbFBw9Mx0Do64/b3V1B1+mv4z5gP5bUyaI+kw6m+Ds43b8Kpvh5Ot25heFMT5K2twHff3Xt0YwlgNoD2/Hzg/feH9qAGgYMOEREREZGZE5ZWuO3qgqqAcfBIXIY6Owc0qipQW3QeXpOiYP1DFdpyT8Be3QB7tRr2ajVGNDXBU6GA5c2bkNfVAaNHG/owJOGgQ0RERET0GOn6nT6AlbMrWhTWqKqugMe0GDTbOeC7OhWqC04DEJDL5QiZOBFPT5sGJ8OWLgkHHSIiIiIiAtDzF5vKhAC0DWi9e9fQ5UnCQYeIiIiIiHqktHMAOjoAbYOhS5GMX6FKRERERERmh4MOERERERGZHQ46RERERERkdjjoEBERERGR2eGgQ0REREREZoeDDhERERERmZ0BDTppaWnw9vaGUqlEREQEzp492+f6ffv2ITAwEEqlEhMnTkRGRsaAiiUiIiIiIuoPyYPO3//+d6xcuRKpqanIz89HaGgoYmNjUVtb2+P6U6dOYdGiRUhKSkJBQQHi4+MRHx+P4uLiQRdPRERERETUE8mDzqZNm/DSSy9h6dKlmDBhArZu3QpbW1vs2LGjx/WbN2/GnDlzsGrVKowfPx7r1q3DpEmTsGXLlkEXT0RERERE1BNLKYvb2tqQl5eHNWvWdG6Ty+WYNWsWcnNze9wnNzcXK1eu7LItNjYW6enpvf4crVYLrVbb+VytVgMAbt26BZ1OJ6XkR66hoQEtLS1QV1dB29qMtrY2NPxQiRZNI5rqqnt93tbaxNf68VpzfTVsLDqgrq5CS3OTUdVmrK9JWatr1TBfPf5/Nfd8Df3zzSFfQ/98U8nX0FmYQ76GPl5TydfQdZvKazIIyNta0NDQABsbG4O+FwcAjUYDABBC9LlO0qBTX1+P9vZ2uLi4dNnu4uKCy5cv97hPdXV1j+urq6t7/Tnr16/H2rVrH9ju4+MjpVwiIiIiIjJTGo0G9vb2vb4uadAZKmvWrOlyFqijowO3bt2Ck5MTZDKZASsDGhsb4enpicrKStjZ2Rm0FnPEfPWL+eoX89Uv5qtfzFe/mK9+MV/9MrZ8hRDQaDRwd3fvc52kQcfZ2RkWFhaoqanpsr2mpgaurq497uPq6ippPQBYW1vD2tq6y7aRI0dKKVXv7OzsjOIf2lwxX/1ivvrFfPWL+eoX89Uv5qtfzFe/jCnfvs7k3CfpZgQKhQKTJ09GVlZW57aOjg5kZWUhMjKyx30iIyO7rAeAzMzMXtcTERERERENluRL11auXInExESEh4dj6tSpeO+999Dc3IylS5cCAH75y19izJgxWL9+PQBgxYoViI6OxjvvvIO4uDjs2bMH58+fx4cffvhoj4SIiIiIiOifJA86CQkJqKurwxtvvIHq6mqEhYXh8OHDnTccqKiogFz+rxNFUVFR+PTTT/H666/jd7/7Hfz9/ZGeno7g4OBHdxRDyNraGqmpqQ9cWkePBvPVL+arX8xXv5ivfjFf/WK++sV89ctU85WJh92XjYiIiIiIyMRI/sJQIiIiIiIiY8dBh4iIiIiIzA4HHSIiIiIiMjscdIiIiIiIyOxw0OnmxIkTmD9/Ptzd3SGTyZCenv7QfbKzszFp0iRYW1vDz88Pu3bt0nudpkpqvtnZ2ZDJZA88qqurh6ZgE7J+/XpMmTIFI0aMwOjRoxEfH4/S0tKH7rdv3z4EBgZCqVRi4sSJyMjIGIJqTc9A8t21a9cDvatUKoeoYtPywQcfICQkpPPL6CIjI3Ho0KE+92Hv9p/UfNm7g7NhwwbIZDKkpKT0uY49PDD9yZc9LM0f/vCHB/IKDAzscx9T6F8OOt00NzcjNDQUaWlp/VpfXl6OuLg4xMTEoLCwECkpKXjxxRdx5MgRPVdqmqTme19paSlUKlXnY/To0Xqq0HTl5OQgOTkZp0+fRmZmJnQ6HWbPno3m5uZe9zl16hQWLVqEpKQkFBQUID4+HvHx8SguLh7Cyk3DQPIF7n2L9I979/r160NUsWnx8PDAhg0bkJeXh/Pnz2PGjBl49tlncfHixR7Xs3elkZovwN4dqHPnzmHbtm0ICQnpcx17eGD6my/AHpYqKCioS17ffPNNr2tNpn8F9QqA2L9/f59rXnvtNREUFNRlW0JCgoiNjdVjZeahP/l+/fXXAoC4ffv2kNRkTmprawUAkZOT0+uaBQsWiLi4uC7bIiIixLJly/RdnsnrT747d+4U9vb2Q1eUmXFwcBDbt2/v8TX27uD1lS97d2A0Go3w9/cXmZmZIjo6WqxYsaLXtexh6aTkyx6WJjU1VYSGhvZ7van0L8/oDFJubi5mzZrVZVtsbCxyc3MNVJF5CgsLg5ubG5555hmcPHnS0OWYBLVaDQBwdHTsdQ37d+D6ky8ANDU1wcvLC56eng/9DTrd097ejj179qC5uRmRkZE9rmHvDlx/8gXYuwORnJyMuLi4B3qzJ+xh6aTkC7CHpbpy5Qrc3d3h6+uLxYsXo6Kiote1ptK/loYuwNRVV1fDxcWlyzYXFxc0NjaitbUVNjY2BqrMPLi5uWHr1q0IDw+HVqvF9u3bMX36dJw5cwaTJk0ydHlGq6OjAykpKXjqqacQHBzc67re+pefgepbf/MNCAjAjh07EBISArVajbfffhtRUVG4ePEiPDw8hrBi01BUVITIyEjcuXMHw4cPx/79+zFhwoQe17J3pZOSL3tXuj179iA/Px/nzp3r13r2sDRS82UPSxMREYFdu3YhICAAKpUKa9euxU9+8hMUFxdjxIgRD6w3lf7loENGLSAgAAEBAZ3Po6KiUFZWhnfffRe7d+82YGXGLTk5GcXFxX1eX0sD1998IyMju/zGPCoqCuPHj8e2bduwbt06fZdpcgICAlBYWAi1Wo3PPvsMiYmJyMnJ6fXNOEkjJV/2rjSVlZVYsWIFMjMz+YF3PRhIvuxhaebOndv555CQEERERMDLywt79+5FUlKSASsbHA46g+Tq6oqampou22pqamBnZ8ezOXoydepUvoHvw/Lly3Hw4EGcOHHiob+16q1/XV1d9VmiSZOSb3dWVlZ48skncfXqVT1VZ9oUCgX8/PwAAJMnT8a5c+ewefNmbNu27YG17F3ppOTbHXu3b3l5eaitre1ypUF7eztOnDiBLVu2QKvVwsLCoss+7OH+G0i+3bGHpRk5ciTGjRvXa16m0r/8jM4gRUZGIisrq8u2zMzMPq97psEpLCyEm5ubocswOkIILF++HPv378fx48fh4+Pz0H3Yv/03kHy7a29vR1FREfu3nzo6OqDVant8jb07eH3l2x17t28zZ85EUVERCgsLOx/h4eFYvHgxCgsLe3wTzh7uv4Hk2x17WJqmpiaUlZX1mpfJ9K+h74ZgbDQajSgoKBAFBQUCgNi0aZMoKCgQ169fF0IIsXr1arFkyZLO9deuXRO2trZi1apVoqSkRKSlpQkLCwtx+PBhQx2CUZOa77vvvivS09PFlStXRFFRkVixYoWQy+Xi2LFjhjoEo/Xqq68Ke3t7kZ2dLVQqVeejpaWlc82SJUvE6tWrO5+fPHlSWFpairfffluUlJSI1NRUYWVlJYqKigxxCEZtIPmuXbtWHDlyRJSVlYm8vDyxcOFCoVQqxcWLFw1xCEZt9erVIicnR5SXl4tvv/1WrF69WshkMnH06FEhBHt3sKTmy94dvO53BWMPP1oPy5c9LM1vf/tbkZ2dLcrLy8XJkyfFrFmzhLOzs6itrRVCmG7/ctDp5v7tjLs/EhMThRBCJCYmiujo6Af2CQsLEwqFQvj6+oqdO3cOed2mQmq+GzduFGPHjhVKpVI4OjqK6dOni+PHjxumeCPXU64AuvRjdHR0Z9b37d27V4wbN04oFAoRFBQkvvrqq6Et3EQMJN+UlBTxxBNPCIVCIVxcXMS8efNEfn7+0BdvAl544QXh5eUlFAqFGDVqlJg5c2bnm3Ah2LuDJTVf9u7gdX8jzh5+tB6WL3tYmoSEBOHm5iYUCoUYM2aMSEhIEFevXu183VT7VyaEEEN3/oiIiIiIiEj/+BkdIiIiIiIyOxx0iIiIiIjI7HDQISIiIiIis8NBh4iIiIiIzA4HHSIiIiIiMjscdIiIiIiIyOxw0CEiIiIiIrPDQYeIiIiIiMwOBx0iIiIiIjI7HHSIiIiIiMjscNAhIiIiIiKzw0GHiIiIiIjMzv8DZOecWbYZ/f4AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Target density\n", "fint = scipy.integrate.quad(f, xmin, xmax)[0]\n", "xx = np.linspace(xmin, xmax, 1000)\n", "yy = f(xx)/fint\n", "\n", "# Plot\n", "plt.figure(figsize=(10, 5))\n", "plt.hist(x, bins=200, density=True, color='lightblue', edgecolor='gray', label='sample (A-R)')\n", "plt.plot(xx, yy, 'r', label='target density')\n", "plt.grid()\n", "plt.title(f'{n} points generated with accept-reject algo (accept ratio = {t:.4g})')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Specifying `c` \n", "If the uniform distribution is used as the instrumental distribution (`g=1`, default), `c` must be a value greater than or equal to the maximum of `f`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c = 2.1\n", "plt.figure(figsize=(10, 5))\n", "plt.plot(xx, f(xx))\n", "plt.axhline(y=c, ls='dashed')\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Elapsed time: 0.096 sec\n", "Acceptance ratio = 0.4188\n" ] }, { "data": { "image/png": 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09uL0GrzrrrsMwHjyySdzrMutPV577TXDYrEYBw8edC0739C1c9/Le/XqZXh7exv79u1zLYuOjjaCgoKM9u3bXzBvVjtc6N/Zx8zNpX4+G0bm56SHh4drmFvWZ8X5PgsvNIx5zZo1Ro0aNbI9lqZNmxoxMTHZtktPTzdGjhxpeHl5ubbz8PAwPvroo1z3u3LlSgMwZs6cecHHJYVHQ9dKuDZt2jB79mzuvvtuevbsyZNPPun6q/i4ceNc22V1m/v4+OTYh6+vb7Zu9eTk5Dy3O3tfZu/zfAYPHpyt2/u2226jfPnyruki169fz/Hjx3nwwQddGQBuvPFGateuza+//nrBY3Tt2tX1F0aABg0aEBwczP79+y9436weh59++omMjIx8PSbANTznwQcfzLb8oYceynbbMAzmzJnDzTffjGEYxMXFuf716NEDm83Gxo0bs91n6NCheHt7u25n/SU66/Fs3ryZPXv2MGjQIOLj4137S0pKokuXLixbtizHY7n//vtzPIazhwikpKQQFxdHq1atAHJkys3cuXPJyMigX79+2R5XuXLluOqqq1i8eDHw/+f4/vvvz/a4hgwZQkhIyAWP07hxYwIDA1m2bBmQ2XOTNdRm48aN2O12DMNgxYoVrra6WBdq+7yc3ZYOh4P4+Hhq1qxJqVKlsrXlnDlzaNiwoatX4mxZQ2bmzJlDREREjtfS2dvMmjWLkJAQunXrlq3tmzZtSmBgoKvts1SoUCHbMYODgxk8eDCbNm3i2LFj531sF9KhQwfq1q3run0xr/ksJ0+e5K+//qJfv36cOXPGdb/4+Hh69OjBnj17XENa89OWBZXf5/Fc69evJz4+nmHDhuHp+f8BHrfffjuhoaHZtv3tt98oV64cAwcOdC3z8vJyzZi1dOnS82aMj4/Psc+CZC+Or8EHHnggx7Kz2yMpKYm4uDjatGmDYRj57vE4m9Pp5M8//6RXr15Ur17dtbx8+fIMGjSIFStWkJCQcN59fPPNNyxYsOCC/wYPHnze/VyOz+dRo0Zx/fXX07179wtum1+hoaE0atSIJ598kh9//JG33nqLqKgo+vbtS0pKims7Dw8PatSoQY8ePfjiiy+YOXMmN998Mw899BA//vhjrvsFcswIJ1eWhq5JDjVr1uSWW25h7ty5OJ1OPDw8XG++qampObZPSUnJ9ubs5+eX53ZZ68/+36x9ns9VV12V7bbFYqFmzZquceMHDx4E4Oqrr85x39q1a7NixYoLHqNy5co5loWGhuYYJ56b/v378+mnn3Lvvffy5JNP0qVLF3r37s1tt92G1Zr33y8OHjyI1WqlWrVq2ZbXrFkz2+0TJ05w+vRppk6dytSpU3Pd1/Hjx8/7eLLe5LMez549ewC466678sxns9myfRk6Nydkfql84YUX+O6773JksNlsee47y549ezAMI8dznCVr2ErWc3zudl5eXtm+MOTFw8OD1q1bu87pWb58Oe3ataNt27Y4nU5Wr15N2bJlOXny5CUXOhdq+7wkJyfz2muvMX36dI4ePZptLPnZbblv3z769Olz3n3t27ePq6++OtsX5nPt2bMHm81GmTJlcl1/7vNZs2bNHF/+a9WqBWSeJ1OuXLk8j2Wz2bJ9cfL29iYsLMx1+9zX1sW85rPs3bsXwzB49tln85xS9vjx41SsWDFfbVlQ+X0ez5X1Gj/399/T0zPHeWAHDx7kqquuyvH+kjVEK2tf52Pkcq5CcX4Nno+np2e2oYFZDh06xHPPPce8efNy/P7m5/3tXCdOnMBut+f6WVWnTh0yMjI4fPgw11xzTZ77yGtYbUFd6ufzzJkzWblyJVu3br0seSCzTdu1a8fjjz/Oo48+6lrerFkzOnbsyPTp010F6YQJE3jvvffYs2ePa/hwv3796NSpEyNGjOCmm27K9trLei3rOnrmUqEjuapUqRJpaWkkJSURHBzsOjEvJiYmx7YxMTFUqFDBdbt8+fI5Tsg/+75Z25q9T7N5eHjkujy3LwPn8vPzY9myZSxevJhff/2V+fPnM3PmTDp37syff/6Z577zK6tn5Y477sizMGnQoEG22xd6PFn7fPPNN2nUqFGu25577kluH3z9+vVj5cqVPP744zRq1IjAwEAyMjK47rrr8tW7lZGR4Tr5P7fM52a4FG3btuWVV14hJSWF5cuX8/TTT1OqVCnq1avH8uXLXSfAXmqhc7GvpYceeojp06fzyCOP0Lp1a0JCQrBYLAwYMKBAPYX5lZGRQZkyZfjmm29yXZ91DtXl8PDDD2c7Ub5Dhw7ZThA/97V1Ma/5c+/72GOP0aNHj1y3ObeYuJyu9PN4McLDw3MtvIvza/B8fHx8chSNTqeTbt26cfLkSZ544glq165NQEAAR48eZciQIaY9lydOnMjXOTqBgYHnff+81M/nxx9/nL59++Lt7e36o2PWddIOHz5MWlpagT/j58yZQ2xsrOucySwdOnQgODiYv//+21XofPjhh3Tu3DnHY+zZsydjxowhKioq2+951us96xxRMYcKHcnV/v378fX1df1C16tXD09PT9avX0+/fv1c26WlpbF58+Zsyxo1asTixYtdJ2FnyToxOutLrtn7PJ+s3ocshmGwd+9e1xedKlWqAJkXJevcuXO2bXft2uVaf6nO95cgq9VKly5d6NKlC++88w6vvvoqTz/9NIsXL6Zr16653qdKlSpkZGRw4MCBbD0V587QVbp0aYKCgnA6nXnuq6CyhukFBwdf9D5PnTrFokWLeOGFF3juuedcy899viDvtqtRowaGYVCtWjXXX2Zzk/Uc7tmzJ9tz7HA4OHDgAA0bNrxg3nbt2pGWlsa3337L0aNHXQVN+/btXYVOrVq1csz4k9/Hcqlmz57NXXfdxdtvv+1alpKSkuMiqzVq1LjgX1Fr1KjBmjVrcDgcOU44P3ubhQsXcu211+ardzWrp+Tsx797924AV49DXm0zduxY7rjjDtft3IZNne1SXvNZPXxeXl4XvG9+2rKgz3d+n8dzZb3G9+7dS6dOnVzL09PTiYqKylbYValShX///ZeMjIxsX9B37tyZbV95qV27NgcOHLjo7EXxNVhQW7ZsYffu3XzxxRfZhoHldmHs/B6zdOnS+Pv7s2vXrhzrdu7cidVqveDEKs2bN89Xj93zzz9/3ouYXurn8+HDh5kxYwYzZszIsa5JkyY0bNiwwBfZjY2NBchRyBmGgdPpzDYTbWxsbK4Fn8PhAMgxa23W6z0/k6NI4dE5OiXciRMnciz7559/mDdvHt27d3d9oIWEhNC1a1e+/vpr13SMAF999RWJiYmu6TUh83wWp9OZbfhHamoq06dPp2XLlq43VbP3eT5ffvlltvvPnj2bmJgYrr/+eiCzW7tMmTJMmTIlWzf877//zo4dO3KdxexiBAQEAOT40D958mSObbOKvdyGBWTJ+mvzhx9+mG35Bx98kO22h4cHffr0Yc6cObl+ucjtdXMhTZs2pUaNGrz11lu5XgU7P/vM6rk4t6di4sSJObbNq+169+6Nh4cHL7zwQo79GIbhmqa6WbNmlC5dmilTppCWluba5vPPP7/gF8gsLVu2xMvLi9dff52wsDDX8JB27dqxevVqli5dmq/enICAgIsatnIhHh4eOdrggw8+yPFh3qdPH/755x9++OGHHPvIun+fPn2Ii4tj0qRJeW7Tr18/nE5nrjMlpaen52jX6OjobMdMSEjgyy+/pFGjRq4hQ3k9z3Xr1qVr166uf02bNs2tCVwu5TVfpkwZOnbsyMcff5zrX6vPvm9+2jKvx3S+7Pl5Hs/VrFkzwsPD+eSTT7J9Sfvmm29y9L7ccMMNHDt2jJkzZ7qWpaen88EHHxAYGEiHDh3Oe6zWrVuzdevWHO9Pxfk1WFC5vb8ZhsF7772XY9v8HtPDw4Pu3bvz008/ZZuyOzY2lhkzZtC2bdscs5me63Kdo1OQz2e73c7OnTuznd/yww8/5PjXv39/IPMzO2tWyoLI+mPXd999l235vHnzSEpKonHjxtm2XbBgQbZLGTidTr7//nuCgoKynXMLsGHDBkJCQs47LFAKn3p0Srj+/fvj5+dHmzZtKFOmDNu3b2fq1Kn4+/szYcKEbNu+8sortGnThg4dOjB8+HCOHDnC22+/Tffu3bnuuutc27Vs2ZK+ffsybtw4jh8/Ts2aNfniiy+Iioris88+c5t9nk9YWBht27Zl6NChxMbGMnHiRGrWrMmwYcMAXF9ehw4dSocOHRg4cKBreumqVasyevToAj0Pecn6cvb0008zYMAAvLy8uPnmm3nxxRdZtmwZN954I1WqVOH48eN8+OGHREZGuq43k9f++vTpw8SJE4mPj3dNL531F8qz/0o4YcIEFi9eTMuWLRk2bBh169bl5MmTbNy4kYULF+ZabJ2P1Wrl008/5frrr+eaa65h6NChVKxYkaNHj7J48WKCg4P5+eefz7uP4OBg2rdvzxtvvIHD4aBixYr8+eefuf6lOK+2q1GjBi+//DLjxo1zTaUbFBTEgQMH+OGHHxg+fDiPPfYYXl5evPzyy9x333107tyZ/v37c+DAAaZPn56vc3Qgc7rVpk2bsnr1atc1dCCzRycpKYmkpKR8FTpNmzZl5syZjBkzhubNmxMYGMjNN9+crwznc9NNN/HVV18REhJC3bp1WbVqFQsXLiQ8PDzbdo8//jizZ8+mb9++3H333TRt2pSTJ08yb948pkyZQsOGDRk8eDBffvklY8aMYe3atbRr146kpCQWLlzIgw8+yC233EKHDh247777eO2119i8eTPdu3fHy8uLPXv2MGvWLN577z1uu+0213Fr1arFPffcw7p16yhbtizTpk0jNjaW6dOnu7Zp1KgRHh4evP7669hsNnx8fOjcuXOe52Ccz6W85idPnkzbtm2pX78+w4YNo3r16sTGxrJq1SqOHDnCP//8k++2rFGjBqVKlWLKlCkEBQUREBBAy5Ytcz1nrSDP47m8vb0ZP348Dz30EJ07d6Zfv35ERUXx+eefU6NGjWzvB8OHD+fjjz9myJAhbNiwgapVqzJ79mz+/vtvJk6ceMFrltxyyy289NJLLF26NNuJ5HoN/l/t2rWpUaMGjz32GEePHiU4OJg5c+bkOuQv6/1t1KhR9OjRAw8Pj2xTIZ/t5Zdfdl137cEHH8TT05OPP/6Y1NRU3njjjQvmulzn6ED+P5/Xrl1Lp06dsvUS9erVK8f+snpwrr/++mxDxGw2m+sPeFmXXZg0aRKlSpWiVKlSjBw5Esi8ttk111zDiy++yMGDB2nVqhV79+5l0qRJlC9fnnvuuce1zyeffJI77riDli1bMnz4cPz8/Pj222/ZsGEDL7/8co5exAULFmR73xeTFPa0buLe3nvvPaNFixZGWFiY4enpaZQvX9644447jD179uS6/fLly402bdoYvr6+RunSpY0RI0bkOq1ocnKy8dhjjxnlypUzfHx8jObNmxvz5893u32eK2v61W+//dYYN26cUaZMGcPPz8+48cYbs03tmWXmzJlG48aNDR8fHyMsLMy4/fbbjSNHjmTbJq/ppUeMGJFjf1WqVDHuuuuubMteeuklo2LFiobVanVNkblo0SLjlltuMSpUqGB4e3sbFSpUMAYOHGjs3r37go8xKSnJGDFihBEWFmYEBgYavXr1Mnbt2mUAxoQJE7JtGxsba4wYMcKoVKmS4eXlZZQrV87o0qWLMXXq1BxtNmvWrGz3zW0KXsMwjE2bNhm9e/c2wsPDDR8fH6NKlSpGv379jEWLFuVos9ymDD1y5Ihx6623GqVKlTJCQkKMvn37GtHR0blOb5pb22WZM2eO0bZtWyMgIMAICAgwateubYwYMcLYtWtXtn18+OGHRrVq1QwfHx+jWbNmxrJly4wOHTpccHrpLI8//rgBGK+//nq25TVr1jSAbFO+Gkbu00snJiYagwYNMkqVKmUArqmmC9r25zp16pQxdOhQIyIiwggMDDR69Ohh7Ny5M9fXYXx8vDFy5EijYsWKhre3txEZGWncdddd2aZittvtxtNPP21Uq1bN9Xq57bbbcjzGqVOnGk2bNjX8/PyMoKAgo379+sbYsWON6Oho1zZVqlQxbrzxRuOPP/4wGjRoYPj4+Bi1a9fO8VgNI/PK6tWrVzc8PDzyNc1vXr9/hpG/13xe7btv3z5j8ODBRrly5QwvLy+jYsWKxk033WTMnj27wG35008/GXXr1jU8PT0v+Fzm93nM7bVlGIbx/vvvG1WqVDF8fHyMFi1aGH///bfRtGlT47rrrsvRNlnH8fb2NurXr5/vKbANwzAaNGhg3HPPPReVPb/tVhReg3fddZcREBCQ67rt27cbXbt2NQIDA42IiAhj2LBhrksPnN3W6enpxkMPPWSULl3asFgs2T5jcnsv3Lhxo9GjRw8jMDDQ8Pf3Nzp16mSsXLkyz4yFKT+fz1mv1QtNWZ3XZ0XW72hu/86dqv/kyZPG6NGjjVq1ahk+Pj5GRESEMWDAAGP//v05jjd//nyjQ4cO2X4Hsi5vcbYdO3YYgLFw4cL8NYoUGoth6JKtIlmWLFlCp06dmDVrVra/6hV3mzdvpnHjxnz99deuK3SLmKlq1arUq1ePX375xewoOezbt4+aNWvy1VdfZTsPqLjIyMigdOnS9O7dm08++eSy7ferr75ixIgRHDp06IIXVHYH7vwaFPf2yCOPsGzZMjZs2KAeHZPpHB2REia3axVMnDgRq9VK+/btTUgkUrRknYdTHGZTSklJyXGOzJdffsnJkyfp2LHjZT3W7bffTuXKlZk8efJl3a+IO4mPj+fTTz/l5ZdfVpHjBnSOjkgJ88Ybb7BhwwY6deqEp6cnv//+O7///jvDhw+/4Ow7IiXdtGnTmDZtGv7+/q4L1RZlq1evZvTo0fTt25fw8HA2btzIZ599Rr169fI9eUt+Wa3Wy3oNFBF3FB4enuuEO2IOFToiJUybNm1YsGABL730EomJiVSuXJnx48fz9NNPmx1NxO0NHz6cWrVqMWvWrCIx/OpCqlatSqVKlXj//fc5efIkYWFhDB48mAkTJuDt7W12PBGRS6JzdEREREREpNjROToiIiIiIlLsqNAREREREZFip0ico5ORkUF0dDRBQUGawUJEREREpAQzDIMzZ85QoUIFrNa8+22KRKETHR2t2aBERERERMTl8OHDREZG5rm+SBQ6QUFBQOaDCQ4ONjWLw+Hgzz//pHv37nh5eZmapThS+xYutW/hUvsWLrVv4VL7Fi61b+FS+xYud2vfhIQEKlWq5KoR8lIkCp2s4WrBwcFuUej4+/sTHBzsFk90caP2LVxq38Kl9i1cat/CpfYtXGrfwqX2LVzu2r4XOqVFkxGIiIiIiEixo0JHRERERESKHRU6IiIiIiJS7KjQERERERGRYkeFjoiIiIiIFDsqdEREREREpNhRoSMiIiIiIsWOCh0RERERESl2LqrQmTx5MlWrVsXX15eWLVuydu3a825/+vRpRowYQfny5fHx8aFWrVr89ttvFxVYRERERETkQjwLeoeZM2cyZswYpkyZQsuWLZk4cSI9evRg165dlClTJsf2aWlpdOvWjTJlyjB79mwqVqzIwYMHKVWq1OXILyIiIiIikkOBC5133nmHYcOGMXToUACmTJnCr7/+yrRp03jyySdzbD9t2jROnjzJypUr8fLyAqBq1aqXllpEREREROQ8CjR0LS0tjQ0bNtC1a9f/78BqpWvXrqxatSrX+8ybN4/WrVszYsQIypYtS7169Xj11VdxOp2XllxERERERCQPBerRiYuLw+l0UrZs2WzLy5Yty86dO3O9z/79+/nrr7+4/fbb+e2339i7dy8PPvggDoeD559/Ptf7pKamkpqa6rqdkJAAgMPhwOFwFCTyZZd1fLNzFFdq38Kl9i1cat/CpfYtXGrfwqX2LVxq38Llbu2b3xwWwzCM/O40OjqaihUrsnLlSlq3bu1aPnbsWJYuXcqaNWty3KdWrVqkpKRw4MABPDw8gMzhb2+++SYxMTG5Hmf8+PG88MILOZbPmDEDf3///MYVEREREZFixm63M2jQIGw2G8HBwXluV6AenYiICDw8PIiNjc22PDY2lnLlyuV6n/Lly+Pl5eUqcgDq1KnDsWPHSEtLw9vbO8d9xo0bx5gxY1y3ExISqFSpEt27dz/vg7kSHA4HCxYsoFu3bq5zjuTyUfsWLrVv4VL7Fi61b+FS+xYutW/hUvsWLndr36zRXhdSoELH29ubpk2bsmjRInr16gVARkYGixYtYuTIkbne59prr2XGjBlkZGRgtWaeErR7927Kly+fa5ED4OPjg4+PT47lXl5ebtG44F5ZiqOS2r42mw273e667e/vT0hIyGU/Tklt3ytF7Vu41L6FS+1buNS+hUvtW7jcpX3zm6HAs66NGTOGu+66i2bNmtGiRQsmTpxIUlKSaxa2wYMHU7FiRV577TUAHnjgASZNmsTDDz/MQw89xJ49e3j11VcZNWpUQQ8tUqzZbDYmTZ5M+lnjTj29vBg5YkShFDsiIiIixVmBC53+/ftz4sQJnnvuOY4dO0ajRo2YP3++a4KCQ4cOuXpuACpVqsQff/zB6NGjadCgARUrVuThhx/miSeeuHyPQqQYsNvtpDscRLbqhG9wKCkJpziyejF2u12FjoiIiEgBFbjQARg5cmSeQ9WWLFmSY1nr1q1ZvXr1xRxKpMTxDQ7FLyzC7BgiIiIiRVqBrqMjIiIiIiJSFFxUj46IFCLDwCvBhufhg5Q+fhzPHTsgLQ3CwiAoKM+7nT2RQWFNYiAiIiJSVKjQETHb4cOwYAEhCxcybMkSSr/+Ol7Jyf9f/+GH//85IgKuvhqaNoX27aFjRwgPzzGRgSYxEBERkZJOhY6IGY4ehRkz4Jtv4J9/APD/718Wh38AaRj4+vnhceZMZq9OXFzmv7//hvffBw8P6NgR4/rrISmJyPY9ADSJgYiIiJR4KnREroCsYWWe27bh/+GH+P/8M5b0dAAMqxVLixYktmjBb8eO4dv7Doyr65KYbGfvn3MZPnw45cuVw3b0KGnbt+O5Zw/e69fju3YtHtu3w6JFlFq0iDG+vhw4cITdtw3iiMmPV0RERMRsKnRELtL5Lu559rrExEQWTZpEp/nzuXr3btf2hypV4p+GDdnTsCH3PP44drudHVOnUrNyVfz8/CE58/5xcXEkJiby/fffk/5fcUTVqnhedRWjbriBoPnzSZ8yBb+DB6n77ZdcPftbyjVpgrVPHyhf/gq1hoiIiIh7UaEjchHOd3FPwLXO126n45IlDF+3DqthkGG1sr1OHfbe/zBJTVuRknCKM/8NMzuXI9kOWJg7d65r2bnX2EksW5agJ5/kxB13sPiJJ+i8cw/lNq6j1Zo1OFu2JOHRR0kaNgz/4GANYxMREZESRYWOyEU438U9AdIdDtoY3rT99AP8TsYDcLhtR1YPuZftR/ZSs2mrC14rx+lIBQwiW3UiLekMx7esz/saOx4e7KlVC2Pkk0QsX0z9iROoEBND8Esvkfjpp8zq3Zu+r7yCv79/zvuKiIiIFEMqdEQuQW6FhyUhgVt++IFG/00ycKpyFX7u2AGP+x8jJeEUHNlb4GPkJS4uLtv/AEcaNmL1sGF0OpNCy08/okJMDHd/+CGJwcHw/PMFOraIiIhIUaVCR+Qy8ty5k9B776Xc/v0YFgt7ht7Hyl69ObhxJTUv43FyG9aWjdXK4b53kHjrQOo99xiVlywi+LXXyNi0Ce9Bgy5jEhERERH3ZDU7gEhxcc3WrYTfeCOe+/djCw5mwUefs3Xsczi9fS77sc4e1laze2/K1G+W63YpZcqy/JV3mNezJ4avL9b58+k4ejRs2nTZM4mIiIi4ExU6IpfKMKj/6WRumz0ba3IyZ1q14uP77uNEg8b53kVcXFy24Wf5lTV0zjsgKO+NLBY2NWlC3C+/YNSqhV98PJ6dO8PPPxf4eCIiIiJFhQodkUtgSXfQ5JlHaTDtYwBWXHst73bvTnJAQL7uf/YQtDyHoV0mx8qUIfqHHzjeqBGWpCTo1SvzoqMiIiIixZDO0RG5SJ5paXR44mEqrlpBhtXKrzfcwPGRj1P6vxnS8iO3mdUut7OLKavVSsNnnqH7vHn4fvklPPwwnDoFzz0HFst5rw0kIiIiUpSo0BG5CBa7nYHffkvFAwdI9/XlryefYyNp1DzPDGnnc76Z1S7V2cWUxTAwUk+za/RoqlWoQPCECTB+PCQnY3vySSZ9+GGu1wZSsSMiIiJFjQodkQKw2Wwkx8UROHAg5Q4cwOHvz9+fzuBwWCisXmx2vPPyDQ7FYU+EVJj3889k+PrSskcPrvvjD3j9dRxHj5JeowaRrTvnuDaQCh0REREpanSOjkg+2Ww2pkycSEqXLgSuW0eqtzd/vTuFk01amB0t3zIcaQBUbN6emt17c/DBMfxy400ARHz9NZ0WL3ZNcFCYvUwiIiIihU2Fjkg+2RMSuOXbb6l68CCp/v58deedxNVvZHasi+ITVAq/sAg8fXzZ0LwZfz80BoD2y5ZRZ8bn5oYTERERuQw0dE0kPwyDkMceo/yuXaR7+7DwhQkcTTp5WS8CaqaogUPwTkyk+fSpNJn0DpQtz44uPQBc016np6fj6fn/twxNVCAiIiLuTIWOSH489RT+339PhsXCipfe4Fj9hm5/Tk5B/dv/dlJ3b6Pt33/TaPyTxHl5sfe/2doAsFjAMFzba6ICERERcWcauiZyIdOnw4QJAPzcsydH23UyOVDhWdS1K/uvvxmr00nHF5+iTOwxIlt1okz9ZmBkztxWs3tvIlt1It3hyDYVtYiIiIg7UaEjcj7Ll8N99wFwZswYNjdubHKgQmaxsObJ8Zxo0QZvu51B33xDqbR0vAOCADRRgYiIiBQZKnRE8nLgAPTuDQ4H9O1L4pgxZie6IjK8vFj9/iecjqxMSEIC7ceNxnrWtXVEREREigIVOiK5SUiAm2+GuDho2hQ+/xysJefXxVEqlD9ffI1kX19Kb/uXlh9PMjuSiIiISIGUnG9uIvllGHDPPbBtGxnlyxM7dSoxNptr9rGS4kyFSH7o3RuAur/8SMPNm80NJCIiIlIAmnVN5BzJb7yB3+zZGF5efNGzJ4d+/tnsSKbZU6sW/959Pw2mTeHGX35hwS0DSWndzuxYIiIiIhekHh2RsyQuWoT3008DML9LFw6VL++aaaxM/WYmpzPHlrvv53DzVnilp9P+qdF4JdjMjiQiIiJyQSp0RLLEx+M3eDAeTif723Uk6t4RwP9nGsuaeazEsVpZMvYZToaGEhgTTePnx2a7no6IiIiIO1KhIwKZX9zvuguP6Gjiw8JY99yreAcGm53KbaQFBTGnTx8yPDyJ/P1nqv/6k9mRRERERM5LhY4IwEcfwa+/Yvj4MKtfP9IDAs1O5HaiIyP5d9iDADR79zXCStjkDCIiIlK0qNAR2bEDHn0UgISnnya2XDmTA7mv7bcP5XjLa/FKTqbPnDnEx8QQExODzabzdkRERMS9qNCRki0tDe64A1JSoEcP7HffbXYit2Z4eLD+jfdJCQqmQkwMp0eNYurUqUyaPFnFjoiIiLgVFTpSso0fDxs3khEaSuxrrxF38qTZidxeStnyrBg9FoA2q1bROKQM6Q4Hdrvd5GQiIiIi/6dCR0quFSswJkwAYFa3bkyZN4+5c+eaHKpoONimHf80aIA1I4MOE9/Ew+EwO5KIiIhINip0pGRKToa778ZiGGxq1IjEu0eU6GvlXIz5111HcngEIQcP0Gnx4mzrbDYbMTp/R0REREzkaXYAETOkjhuHz549OMqU4Y/rrqPSf9fKSUk4ZXa0IiPF3581TzxHx7GjaLNyJfHr18PNN2Oz2Zg0eTLp//XyeHp5MXLECEJCQkxOLCIiIiWJenSkxElcvBiv998HYHaXLqT6+pqcqOg62rYj+6+7CQsQ9NBDxOzfz6FDh0h3OIhs1YnIVp10/o6IiIiYQoWOlCxpafiMGIHVMNjXsQunb7vd7ERF3ur7R3EmMAifgwfZM3So6zwn3+BQfINDTU4nIiIiJZUKHSlZXnsNrx07SPL3Z9Pjz+IdEGR2oiIv2deH3264HoBrV67k6lJlTE4kIiIiokJHSpKtW+GVVwD4/frrSQ0NMzlQ8bGzTh2OtO2AR3o6HT/5CDIyzI4kIiIiJZwKHSm2ss38deoUDB8ODgcp3buzrV49s+MVLxYL68Y8Rbq/P+W2baHx5s1mJxIREZESToWOFEtZM39NnTqVqVOnsvyee2DVKggMxPbqq2CxmB2x2LGXK8/2hx4HoNuff+JzMt7kRCIiIlKSqdCRYslut7tm/qpRtwmd58/PXPHCC2RUqGBuuGJs3533EF+jJn4pKTSZ/I7ZcURERKQEU6EjxZpvcCgtv/4C/+RkHLVrw0MPmR2pWDM8PVkx6jEMoPrvPxOxZbPZkURERKSEUqEjxVr41n+4at4cAA49+SQxcXHExcWZnKp4i7u6DpsaNwag2bsTsGhiAhERETGBp9kBRAqLxemkxZuZs6xtatSIeVFRMHWquaFKiEVdulBv9x7Cd26n0aZNZscRERGREkg9OlJsNV+/nrA9O0kNDGRh165EtupEze69KVO/mdnRij17YCD/3vsAAF0WLcJis5mcSEREREoaFTpSLFnj4+n0118ArB86HHtgIL7BofiFRegioVfI7j4DsFWtToDdTtDbb5sdR0REREoYFTpSbJx93RzPF1/ENzWVk7Vqs+u6m8yOViIZnl6sf+QJAPynT+fE4sWZ1zRS746IiIhcATpHR4qFrOvmpDsclImN5b7ZswHY8PBYDA8Pk9OVXIfrN2RH7TrU2bmDM/fcw1eDB+Pp7c3IESMICQkxO56IiIgUY+rRkWLBdd2clh3ptW4jVsNge506HG+s83HM5HSk8meP7qR7eVP9wAFaW/1Idziw2+1mRxMREZFi7qIKncmTJ1O1alV8fX1p2bIla9euzXPbzz//HIvFku2fr6/vRQcWOZ8aW/6l/Po1OL28WNCtm9lxBDgdGsrufoMAaPH5J1icTpMTiYiISElQ4EJn5syZjBkzhueff56NGzfSsGFDevTowfHjx/O8T3BwsOvciZiYGA4ePHhJoUVyY01Pp8kHmSe9b721H6fDwkxOJFm2Dr6X1JBQSh3YR+PNm82OIyIiIiVAgQudd955h2HDhjF06FDq1q3LlClT8Pf3Z9q0aXnex2KxUK5cOde/smXLXlJokdy0WLeO4MMHSYkozT/9bzc7jpzFERTMzgcfAaDTX39hSUoyN5CIiIgUewWajCAtLY0NGzYwbtw41zKr1UrXrl1ZtWpVnvdLTEykSpUqZGRk0KRJE1599VWuueaaPLdPTU0lNTXVdTshIQEAh8OBw+EoSOTLLuv4Zucori62fY0TJ+iwdCkA20aNJd3fH6vVChkZWAzD9TNOZ7bbxWFdQfcDmJJ7f787qP7lpwQdPUzGhx/ieP31y/racQd6fyhcat/CpfYtXGrfwqX2LVzu1r75zWExjKxvPhcWHR1NxYoVWblyJa1bt3YtHzt2LEuXLmXNmjU57rNq1Sr27NlDgwYNsNlsvPXWWyxbtoxt27YRGRmZ63HGjx/PCy+8kGP5jBkz8Pf3z29cKUEafPwx1X7/ndPVqrH0rbdAM625pQp//03zN98k3ceHhR99RKqGF4qIiEgB2e12Bg0ahM1mIzg4OM/tCn166datW2critq0aUOdOnX4+OOPeemll3K9z7hx4xgzZozrdkJCApUqVaJ79+7nfTBXgsPhYMGCBXTr1g0vLy9TsxRHF9W+u3fj+eefAKwb/RTO2i04fWgfR9cto3rnnqSeOe362S80vNitK8i2aQmnCEuzkRhWGb/w0lc89+7wKpT/9lsijxyh+99/4/zoo0J8NV15en8oXGrfwqX2LVxq38Kl9i1c7ta+WaO9LqRAhU5ERAQeHh7ExsZmWx4bG0u5cuXytQ8vLy8aN27M3r1789zGx8cHHx+fXO/rDo0L7pWlOCpQ+z7/PDid7KpVi+PNWuLn4YFhsZCRkQFWa7afKYbrCrofwLTceHjwZ/fu3D1tGtbp07E++ijUqVN4LyST6P2hcKl9C5fat3CpfQuX2rdwuUv75jdDgSYj8Pb2pmnTpixatMi1LCMjg0WLFmXrtTkfp9PJli1bKF++fEEOLZK71athzhwMq5VFXbqYnUby4XDlyqRcd13mOT3PPWd2HBERESmmCjzr2pgxY/jkk0/44osv2LFjBw888ABJSUkMHToUgMGDB2ebrODFF1/kzz//ZP/+/WzcuJE77riDgwcPcu+9916+RyElk2HAE08AkNy3Lyc0m1+RcWbsWLBYYPZs2LjR7DgiIiJSDBX4HJ3+/ftz4sQJnnvuOY4dO0ajRo2YP3++a8roQ4cOZc6y9J9Tp04xbNgwjh07RmhoKE2bNmXlypXUrVv38j0KKZl+/x2WLcPw8eHQPffAypVmJ5J8Sq9dGwYNgm++gWeegd9+MzuSiIiIFDMXNRnByJEjGTlyZK7rlixZku32u+++y7vvvnsxhxHJm9OJ8/HH8QBWNm3KQhU5Rc/48TBzZmbBunw5tGtndiIREREpRgo8dE3ELXz9NR7bt5Ps68v+0eMoU7+Z2YmkAOLi4ogJCCD1jjsyFzz9dOZQRBEREZHLpNCnlxa57FJS4NlnAVjRrh3WilXwTjhlcijJD0eyHbAwd+5cAEqVLs1D3t5Yly8n/rvv8LzhBkJCQswNKSIiIsWCenSk6Jk8GQ4fxlm+PGtbtDA7jRSA05EKGES26kS5xq05HRDImiZNAEh99FEmTZqEzWYzN6SIiIgUCyp0pGhJSIDXXgPgzGOPke4Gc7lLwfkGh+Lp4wsY7H9kHA5/fyrExHDVv/9it9vNjiciIiLFgAodKVJSXn8d4uNJr1GDw506mR1HLofK1dg7ZDgAnf76C5xOkwOJiIhIcaBCR4oM28GD8M47APzYqBFz580zOZFcLnuG3k9qUDCl4+Lw1fMqIiIil4EKHSkyrO++i29KCierViN19LOaaa0YSQ8KZueAOwHwe/ttYo4c0bk6IiIicklU6EjRcOIEAZ98AsCW+x7GL6IM3gFBJoeSy2nrTbeS7OuL7/79/D16NJMmT1axIyIiIhdNhY4UDW+8gdVuJ7p8eY6017k5xVGKjxdrWrUCoMu6DaSnpmpiAhEREbloKnTE/cXEwKRJACzu3BksFpMDSWFZ3bIlaYFBhB48QN0dO8yOIyIiIkWYCh1xf6++CikppDVrxt6aNc1OI4Uo1c+Pnf0GAdB+6VLIyDA5kYiIiBRVKnTEvR06BFOnAnBm7Fj15pQAu/rdSVpAIGWPH8f399/NjiMiIiJFlAodcW8vvwxpadCpE2lt25qdRq6AtOBgdvW7HYDAd99Vr46IiIhcFBU64r727YPp0zN/fuklc7PIFbWz/x2kenvjtX07/PST2XFERESkCFKhI+7rxRchPR1H167EVK9OXFyc2YnkCkkLDmFNy5aZN158EQzD3EAiIiJS5HiaHUAkV7t3w9dfA/DVVVdx+L/zdKTkWN26NW03bsS6eTP89hvceKPZkURERKQIUY+OuCWP11+HjAxSunXjcNmyRLbqRJn6zcyOJVdQsr8/9jvvzLzx6qvq1REREZECUaEjbsf/2DEsM2YAkDh6NAC+waF4BwSZGUtMkHTffeDtDStXwvLlZscRERGRIkSFjridq+bMweJ0Qo8eOBo1MjuOmCijbFm4++7MG6++am4YERERKVJU6Ih7OXyYyosXZ/78zDPmZhHTxcXFcfyuuzA8POCPP2DjRrMjiYiISBGhQkfcivXtt7Gmp5PSujUxNWpoprUSypFsByzMnTuXj/74gy116wJw5umniYmJwWazmRtQRERE3J5mXRP3EROD9bPPAJh19dXs10xrJZbTkQoYRLbqhG9wKDvDytNg1H0Ezp/PF6+8gq1CBUaOGEFISIjZUUVERMRNqUdH3Mdbb2FJTSW+dm0c/e6iZvfemmmthPMNDsUvLIIztWqz8+qrsQDd9+wn3eHAbrebHU9ERETcmAodcQ8nTsCUKQDs7tcPn/++4GqmNcmyol07AGouWkDw6dPmhhERERG3p0JH3MM774DdTlqDBhxv3NjsNOKGjkZGcqxpC6zOdNqsXGl2HBEREXFzKnTEfCdPwqRJACSMGgUWi8mBxF1tveteAJps3IhVE1WIiIjIeajQEfO9/z4kJkKDBqR07252GnFjsU1bEle3Hl7p6QR8+qnZcURERMSNqdARcyUkwHvvZf78zDPqzZHzs1jYdmdmr47/F1/AmTMmBxIRERF3pUJHzDVpEpw+DXXqQJ8+ZqeRIuBIu47EhYdjtdngv+nIRURERM6lQkfMk5iYOQkBcGrECGJiY4mPjzc5lLg9q5VVrVtn/vzuu+BwmJtHRERE3JIKHTHPxx9DfDwnw8P5IDaWqVOnMm/ePLNTSRHwT8OGOCMi4NAhmDXL7DgiIiLihlToiDmSk+HNNwFYfu21VLy2KzW796b0NZpaWi7M6eXFiQEDAHC88go2XVdHREREzqFCR8zx6acQG0t6ZCT/NmyIb9YFQv11gVA5P0eyHbDwhb8/aV5eeG3fzi+jR7Nnzx5iYmKw2WxmRxQRERE34Gl2ACmBUlPh9dcBSBo5koyUFJMDSVHidKQCBhGdb2T/gSPUnjWDVsuW83XVGQB4enkxcsQIQkJCzA0qIiIiplKPjlx5n38OR49CxYrY+/c3O40UUb7BoUTd9zAZVg9q7N9Hg9KRRLbqRLrDgd1uNzueiIiImEyFjlxZDgdMmJD589ix4ONjbh4p0uyRlTjQrgMAjX76Ad/gUJMTiYiIiLtQoSNX1jffQFQUlCkDw4aZnUaKgS23DQSgyqL5BMREm5xGRERE3IUKHbkibDYbMUeOkP7SSwCcvvdeYk6fJi4uzuRkUtTFX1WL/dWqYXU6ufr7r82OIyIiIm5CkxFIobPZbEyaPJnaGzbQZ/9+7H5+fAg4pk41O5oUEyuvvZbqBw5Qc94cfKuOMjuOiIiIuAH16Eihs9vtpKem0nn9RgC29LoNh7c3ka06UaZ+M5PTSXGwr0YNTtWshVdyMs3Wrzc7joiIiLgBFTpyRdTZsYPQQ1GkBYew67bMCz36BofiHaDr5shlYLGwY+BdALRcvTpzCnMREREp0VToSOEzDNovWwbAvjvuxhEQaHIgKY6iul1HUpmyBCYl4ffjj2bHEREREZOp0JFC57NgAeViY3H4+7N38L1mx5FiyvD0Yvd/M7AFfPIJGIbJiURERMRMKnSkcBkGgRMnArC79wAcpXSdEyk8e3veRpqXF17bt8Nff5kdR0REREykQkcK159/4r15Mw5PT3YMuNPsNFLMpQUHs7lx48wb77xjbhgRERExlQodKTS206dJe/ZZANY3a0ZqWLjJiaQkWN2yJYbFAr/9Bjt3mh1HRERETKJCRwqFzWbj58cew3vdOtI9PFh57bVmR5IS4lR4OKk9emTe+G/YpIiIiJQ8KnSkUNjtdq5dtAiAHd2uIzFI00jLlZM0fHjmD198AXFx5oYRERERU6jQkULhtXYt1aKicHp6sm3QXWbHkRImrWVLaNoUUlJgyhSz44iIiIgJVOhIoQh87z0ADlzfk6QyZU1OIyWOxQJjxgCQMWkSMVFRxMTEYLPZTA4mIiIiV8pFFTqTJ0+matWq+Pr60rJlS9auXZuv+3333XdYLBZ69ep1MYeVomLdOnwXLybDYmGbrpsjZunbl4wKFbDGxrJm9GimTp3KpMmTVeyIiIiUEAUudGbOnMmYMWN4/vnn2bhxIw0bNqRHjx4cP378vPeLioriscceo127dhcdVtybzWYjJiaGlGeeAeDfBg1IrBhpciopsby8SBwyBIB2/2whsmVH0h0O7Ha7ublERETkiihwofPOO+8wbNgwhg4dSt26dZkyZQr+/v5MmzYtz/s4nU5uv/12XnjhBapXr35JgcU92Ww2Jk2ezE8vvojvn39iACtU1IpJ4uLiiImJ4fANN5Dm5UX4gX1U2bPH7FgiIiJyBRWo0ElLS2PDhg107dr1/zuwWunatSurVq3K834vvvgiZcqU4Z577rn4pOLW7HY76Q4HPbbuAGDvte2Jj4gwOZWUNI5kO2Bh7ty5TJ06ldkLF7ouIFrnu6/MDSciIiJXlGdBNo6Li8PpdFK2bPaTy8uWLcvOPC7Mt2LFCj777DM2b96c7+OkpqaSmprqup2QkACAw+HA4XAUJPJll3V8s3O4G6fTSZm4OKr+vQyArbcPwRp3BDIysBgGVqsVMjLA6cx2O7d1QL631bqC76c4t29GWgpWq4WKzTvgE1SKM7GHWXvqFM3XraPiymWUbtoQp9NZaL+/en8oXGrfwqX2LVxq38Kl9i1c7ta++c1hMYysbz4XFh0dTcWKFVm5ciWtW7d2LR87dixLly5lzZo12bY/c+YMDRo04MMPP+T6668HYMiQIZw+fZoff/wxz+OMHz+eF154IcfyGTNm4O/vn9+4coU1efddKi1dSnSrVqx78kmz44i4tHj1VcqvXcuBHj3494EHzI4jIiIil8ButzNo0CBsNhvBwcF5blegQictLQ1/f39mz56dbea0u+66i9OnT/PTTz9l237z5s00btwYDw8P17KMjAwgc8jbrl27qFGjRo7j5NajU6lSJeLi4s77YK4Eh8PBggUL6NatG15eXqZmcSfxq1dTpkMHrIbBX7N+IyrQn6PrllG9c09Sz5x2/ewXGs7pQ/vyXGc7uJewNBuJYZXxCy993m21ruDbpiWcKpHt2yqsIt1G3oPDy4sT69dTuk6dQvk90PtD4VL7Fi61b+FS+xYutW/hcrf2TUhIICIi4oKFToGGrnl7e9O0aVMWLVrkKnQyMjJYtGgRI0eOzLF97dq12bJlS7ZlzzzzDGfOnOG9996jUqVKuR7Hx8cHHx+fHMu9vLzconHBvbK4g+BJk7AaBkeubc/p+o0wovZkFrVWK4bF4voZD49st3NbB+R7W60r+H5KYvseb9yM+Np1Cd+5naAZM/CaMKFQfx/0/lC41L6FS+1buNS+hUvtW7jcpX3zm6HAs66NGTOGTz75hC+++IIdO3bwwAMPkJSUxNChQwEYPHgw48aNA8DX15d69epl+1eqVCmCgoKoV68e3t7eBT28uKP9+/GbMweArUPvMzmMSC4sFnb2vxMA/+nT4aweYxERESmeCtSjA9C/f39OnDjBc889x7Fjx2jUqBHz5893TVBw6NChzBODpeR47TUsTid7atYkvm59/MzOI5KLQ527U/+dVwk+fpzTU6aQ3K8f/v7+hISEmB1NRERECkGBCx2AkSNH5jpUDWDJkiXnve/nn39+MYcUN5WwZQtBn3+OBVjWoQO+ZgcSyUNquoO1LVrSddFCUl57jamnTuHp7c3IESNU7IiIiBRD6nqRi2az2dhz771Y0tPZV706R/I450rEHTgdqWxo2gSHjy/lYmNp5h9KusOB3W43O5qIiIgUAhU6ctFS9uyh0fr1AGwZOtzkNCIXluLvz4EbegLQ4OcfzQ0jIiIihUqFjly0wA8/xCMjg2NNmhPfvPWF7yDiBnb2ux2AyL+XEhofb3IaERERKSwqdOTiREfjP2MGoJnWpGg5U6UaMR26YjEMWp1zkWMREREpPlToyMV5800sqakcrFyZ2CbNzU4jUiB7hwwDoNGmTVhsNpPTiIiISGFQoSMFd+wYTJkCZM60RtZFKEWKiBOt2nKqZi28HQ78v/nG7DgiIiJSCFToSMG9/TakpJDWtCn7q1c3O41IwVks7Ox3BwAB06ZBerrJgURERORyU6EjBXPiBHz4IQCJo0erN0eKrKhu15MYEIBHdDSnPv2UmJgYbBrGJiIiUmyo0JGCeecdsNuhWTNSO3UyO43IRUvNcLK+eeb5ZUkvv8zUqVOZNHmyih0REZFiQoWOXJDNZiMmJoZj27ZhTJqUufC559SbI0Wa05HK+mbNcHp5EXn0KE2CS+sCoiIiIsWICh05L5vNxqTJk5k6dSq7H3gAS2Iizvr14aabzI4mcsmSAgOJ6n4jAA1++cnkNCIiInI5qdCR87Lb7aQ7HNSo05hW69cDYHvkEfXmSLGxc0DmpASVliwk5PRpc8OIiIjIZaNCR/Kl8bwf8U5OJrp8eVKvu87sOCKXzekatTjeui3WjAxarF1rdhwRERG5TFToyAUFJCZy9ZxvAVjSqRNx8fHExMQQFxdncjKRy2PvXcMBaLJhA5akJJPTiIiIyOXgaXYAcX/XrliBZ0oKJ+pcw56rarFn7lyzI4lcVsfad8ZWuSohh6Lw++47eOYZsyOJiIjIJVKPjpyX9dgxmv13bs6GO4aCBSJbdaJm996Uqd/M5HQil4nVyq5+twMQ8Nln4HSaHEhEREQulQodOa/A99/HKz2d4w0ac7RJZmHjGxyKX1gE3gFBJqcTuXz2X38zyb6+eEZFwS+/mB1HRERELpEKHckh67o5sevW4ffNNwD8O2yEZlqTYs3p58+GZv/1Ur77rrlhRERE5JKp0JFszr5uzpEHHsDqcHCgalVim7YwO5pIoVvbvDmGpycsXQqbNpkdR0RERC6BCh3JJuu6OXWqXE3jzf8AsLhTJ5NTiVwZZ0JCSMm6GK56dURERIo0FTqSq6azvsPqTOdIk+YcrlLF7DgiV0zS8MyppvnuO4iJMTeMiIiIXDQVOpJDWFwc1eb/DMDGwXebnEbkynI0agTXXgsOB0yebHYcERERuUgqdCSHzn/9hTUjg5iOXTlRu67ZcUSuvNGjAcj48ENi9u8nJiYGm81mcigREREpCF0wVLLx+ucfrtm+HcNiYdvoJ82OI3LFxcXFkXjNNZQuVYpSp06x/pFH2Ni0KZ5eXowcMYKQkBCzI4qIiEg+qEdHsgl69VUAorrfSMLV6s2RksORbAcszJ07lxkzZ7KmZUsA2m3dTmTLjqQ7HNjtdnNDioiISL6p0JH/W7gQn+XLcVqt/DPsQbPTiFxRTkcqYBDZqhNl6jdjY+PGOPwDKHVgH9V27DA7noiIiBSQCh3JZBgwbhwA65s3J6lCpMmBRMzhGxyKd0AQab6+7L35VgBqz/zK5FQiIiJSUCp0JNOcObB+PRkBASxr187sNCJuYVffQRhWKxXWrCTi+HGz44iIiEgBqNARSE+Hp58GIOm++7AHBpocSMQ9JFWIJLrLdQC0Wr3a5DQiIiJSECp0BKZPh927ISKCpPvuMzuNiFvZe9cwABr8+y+n9uzRVNMiIiJFhAqdks5uh/HjAbCNGsWJ1FRz84i4mfimLYirVRuv9HSOjR/P1KlTmTR5soodERERN6dCp6R75x2IjuZ0qVJ8kJbG3LlzzU4k4l4sFrb2ug2AVpv/oXKTazXVtIiISBGgQqckO3YMJkwAYFGXLpRv240y9ZuZHErE/Rxo15GEoCD8T53k6nVrzI4jIiIi+aBCpyR79llISiKtSRO21qvnmlZXRLLL8PJiXYsWANSe+XXmdOwiIiLi1lTolFT//gvTpgGQ8PzzYLGYHEjEva1v2pR0H1/Cdu+kysGDZscRERGRC1ChUxIZBjz6KGRkQN++OJo3NzuRiNtL8fdn/w03A9Bq1SqT04iIiMiFqNApiX7/HRYuBG9v1zk6InJhO/vdAcDVu3bhceCAyWlERETkfFTolDTp6fDYYwAk3n03MX5+xMXFmRxKpGg4U6UaR1u3wwIEfPaZ2XFERETkPFTolCA2mw3bG2/Ajh3Y/f2ZFBLC1KlTNaW0SAHsHHAnAH7ffQenT5sbRkRERPKkQqeEsNlsTHvjDbxfegmAxR07UrrTDdTs3ltTSosUwLFmLYktUwar3Q6ffmp2HBEREcmDCp0Swm630+H33/FLSeFEtepsaNYM3+BQ/MIiNKW0SEFYLKxp1Srz5w8+yBwOKiIiIm5HhU4J4bVpE002bQJg9cgxGFY99SIX69/69XGGh8OhQ6ChnyIiIm5J33ZLAqeT4KeeAmD/9Tdz/Jr6JgcSKdqcXl7YBw/OvPHuu+aGERERkVyp0CkJpk3D+59/SPHxYdODo81OI1Is2IcMyZyiffXqzH8iIiLiVlToFHcnT8K4cQAs6diRlPAIkwOJFA/HLRbsvXoBkPbmm+aGERERkRxU6BR3Tz0F8fE4rr6adS1amJ1GpMhzJNsBC3PnzuXLsDAAPH/8kYStW80NJiIiItmo0CnOVqyAjz8GIOHVV8nw8DA5kEjR53SkAgaRrToRNPhBohs1wZqRgfXDD82OJiIiImdRoVNcpabivPdeAOwDBhB91VUmBxIpXrKmZ999+1AA/L/5BhITTU4lIiIiWTzNDiCXxmazYbfbXbf9/f0JCQkh5YUX8N21i8SAACZXrkyKpsAVKRRHW7cjPiyM8JMnsU2eDPU1q6GIiIg7UKFThNlsNiZNnky6w+Fa5unlxahu3Qh8+20A1j30KJE9byMh5hDHt6w3K6pIseVITWFNq1bc8NtvZLz7Lnz6KQkJCYSHh5sdTUREpETT0LUizG63k+5wENmqEzW79yayVSfSU1PxfughLGlp7L7qKqJv7oNfWATeAUFmxxUplpyOVDY3bEhqYCDhJ09Sbv16kpOTzY4lIiJS4l1UoTN58mSqVq2Kr68vLVu2ZO3atXluO3fuXJo1a0apUqUICAigUaNGfPXVVxcdWHLKOlfANziU5uvW4bNmDRl+fvx2441gsZgdT6TYc/j4sPeWvgBUnzfP5DQiIiICF1HozJw5kzFjxvD888+zceNGGjZsSI8ePTh+/Hiu24eFhfH000+zatUq/v33X4YOHcrQoUP5448/Ljm8ZBd0+CDdFiwA4MzTT2MrVcrcQCIlyO7bBpLh4UHprVvx2rbN7DgiIiIlXoELnXfeeYdhw4YxdOhQ6taty5QpU/D392fatGm5bt+xY0duvfVW6tSpQ40aNXj44Ydp0KABK1asuOTwchank9YvPYNXejqpbdtmXrVdRK4Ye9lyHOrYDYDA/6Z1FxEREfMUqNBJS0tjw4YNdO3a9f87sFrp2rUrq1atuuD9DcNg0aJF7Nq1i/bt2xc8reTpqulTKL31H1K9vTnw7LPEnTxpdiSREmf7oLsA8J83j+Pr1hETE4PNZjM5lYiISMlUoFnX4uLicDqdlC1bNtvysmXLsnPnzjzvZ7PZqFixIqmpqXh4ePDhhx/SrVu3PLdPTU0lNTXVdTshIQEAh8OB46wZxsyQdXyzcwA4nU6sViul9uyi7ntvAvDHDTfyz5o1QGYRSkYGOJ1YDMN1++yf3XEd4LbZ3HFdQfej9r30Nsxr3fHKlTjesCFl/vmHA6NG8ecNN+Dp5cXwYcMIDg42422iWHGn99/iSO1buNS+hUvtW7jcrX3zm8NiGFnffC4sOjqaihUrsnLlSlq3bu1aPnbsWJYuXcqa/75gnysjI4P9+/eTmJjIokWLeOmll/jxxx/p2LFjrtuPHz+eF154IcfyGTNm4O/vn9+4JYI1NZX2TzxBSFQUx5o1Y83TT2sCAhETld68mTbjx5Pu48Ofn3yCQwWOiIjIZWW32xk0aBA2m+28f0gsUI9OREQEHh4exMbGZlseGxtLuXLl8ryf1WqlZs2aADRq1IgdO3bw2muv5VnojBs3jjFjxrhuJyQkUKlSJbp37276X0UdDgcLFiygW7dueHl5mZIhISGB5ORk4uPjcQwbRkhUFClh4SwePY69W7ZQvXNPUs+c5ui6ZVTv3BO/0HBOH9rnuu3O62wH9xKWZiMxrDJ+4aXdKpu7rivItmkJp9S+l9iGF2pfGjbk5FW1Cduzk4rLVjOvcjmGDh2aoydcCs4d3n+LM7Vv4VL7Fi61b+Fyt/bNGu11IQUqdLy9vWnatCmLFi2iV69eQGZvzaJFixg5cmS+95ORkZFtaNq5fHx88PHxybHcy8vLLRoXzMtis9mY8vHHpDsc1Nm+nX7r1gGw/vUPsIdHkLEnA6xWDIuFjIzMn/HwyHbb3dcBbpvNHdcVdD9q30tvw/O2r8XC9tuH0Hb8k1w9+1usIx7Ew8PDbd67igN3+iwojtS+hUvtW7jUvoXLXdo3vxkKVOgAjBkzhrvuuotmzZrRokULJk6cSFJSEkOHDgVg8ODBVKxYkddeew2A1157jWbNmlGjRg1SU1P57bff+Oqrr/joo48Kemjh/xcJrV21Nre8kXlezrY77uZ4u44QtcfccCICwKGOXUmqWImAo4dptGmT2XFERERKpAIXOv379+fEiRM899xzHDt2jEaNGjF//nzXsIxDhw5lnpj7n6SkJB588EGOHDmCn58ftWvX5uuvv6Z///6X71GUMFank85vvoqPPYnDkZH8M3wEvmaHEhEXw9OTPUPvo9HLz9B61SpS09PNjiQiIlLiFLjQARg5cmSeQ9WWLFmS7fbLL7/Myy+/fDGHkTz0+OMPSm/7l9SAQOb06UNpT/O7EEUku4N9BlD7g7cIO3WKU7/+Cvffb3YkERGREqXAFwwVc/l99x0t1q4FYNljT2ELDTU5kYjkxunnz+7bBgIQ+OGHkP8JLkVEROQyUKHjpmw2GzExMdkvOLhmDSFPPgnAP/c+yKHW15qYUEQuZHefATg8PfHasgX++svsOCIiIiXKRQ1dk8Jls9mYNHky6f9dDMnTy4uHevUiuHdvLGlp7Khdm61DhkOirrgu4s5SS4WysUkTWq5dS+qLL5LSrBkhISFmxxIRESkR1KPjhrJmVots1YnIVp3wOHMGv9tug+hoHLVq8eOtt2ZObSsibs2RbGdV6zZkWCz4LFvGrKef/n8PrYiIiBQqfVt2Y77Bofj5B9L3++/x2rEDZ5ky7Hv/fdJyucaQiLgfpyMVW2gpDnToDEDLpUux2+0mpxIRESkZVOi4s4wMWrz0LDX27yfNy4tPe/Vi5urVZqcSkQLaNeQ+AK7Ztg2PQ4dMTiMiIlIyqNBxV4ZB87dfpeaC38iwWFj87MsEDhlJmfrNzE4mIgV0qlZtolu0wWoYBOhiySIiIleECh13ZBj0+OMPav3wPYbFwg+33kpc1+vxC4vAOyDI7HQichG233k3AP7ffQcxMSanERERKf5U6LgJ13TS0dF4PvUUrf4borb8kcfZ2qCByelE5FLFNmnOoUqVsKSmkvjii9mnjhcREZHLTtNLu4Gs6aSdKSnc9MsvNNm0CYB1jz7Fnm49YPVikxOKyKVypCSzvF17bp/xDd6ffcZXwcE4QkIYOWKEppwWEREpBOrRcQN2ux3DbmfwoiU02bSJDKuVn3r2ZHefAWZHE5HLxOlIZe9VNYmrcRXeDgfdjhwj3eHQLGwiIiKFRIWOibKGq53evp0hn39O1ZXLcXp589fTL7C5SROz44nI5WaxsH1o5gxsdX/+Ae+UFJMDiYiIFF8aumaSrOFq5fbvp9/MmQQlJpIaFMyaDz7jYLkyGq4mUkwd7tiVhBpXEbxvD83XrTM7joiISLGlHh2T2M+coeXixQz54guCEhOJLVOG+Z99S1yra82OJiKFyWpl1/CHAGi9ahVo6JqIiEihUKFjhr17Cb/1VrouXIhHejoH2nbgs3vuITGyktnJROQKOHJjL85UqEiA3Y7/jBlmxxERESmWVOhcZq5pov/7l236WLsdxo+HBg3wXr+eVG9vVj31An89/QIOHx/TMovIlWV4erL9jszr6gR+9BGkppqcSEREpPjROTqXUdZ5N+kOh2uZp5cXI+++m5BZs8iYMAFrdDQAiS1a8GmbNpS+6VZIOGVWZBExyf4bbqHORxMJjonh9AcfYBk2TNNMi4iIXEYqdC4ju91OusNBZKtO+AaH4rN1E+U//5jAd96B+HiswKlSpVjQrRs76tYFi4XSZocWEVOkOtNZ2eZarvtjPhmvvspHdjv9Bg4kMDAQAH9/fxU+IiIil0CFTkEYBpa5cyl15AjExUG5cmCxgGHAmTN47txJvS1buGbbbiquX0PQgX2uu6ZXqsT8Bg2Iu+9hvCLKUSbmEMe3rDfxwYiImZyOVDY2bUKH1asIO3WKups2M8MwXOs9vbx0MVEREZFLoEKnIE6fxnPAADoAPPYYWK0YPj6Qno7F4aA00OeszTM8PNhdsyZlxo4ltWtXNkyfTs2IcviFRZCi4WoiJZ7D25udtw+l8YcTab9sKaeGjcQntDQpCac4snoxdrtdhY6IiMhF0mQEBZGQQEbr1qSEhmbezsjAkpyM5b9zclJ8fDhUqRK7e/dn9fufMvv3ZcwcOJDU668HLy8Tg4uIu9rVZwDJIaUIP3mSOitX4hcWgW9wqNmxREREijz16BRElSqc+vlnVqxYwfYNG/BOSsLD6aRc02shsgqnTp3g+Jb11OzeG7+wCBwn4wCIi4szObiIuCunnz//9h1Iy08/ot70jzk2YLDZkURERIoF9egUUHJyMgBl23TB/9rO2EJDcdasjXeFSngHBGXb1pFsByzMnTuXuXPnmpBWRIqCnTfdQmJAAEHRR6g8b47ZcURERIoFFToXySeoVI7C5lxORypgENmqE2XqN7sywUSkyEn39WPltdcCUPujiVjSHRe4h4iIiFyICp0rwDc49IJFkYiUbOuaNSM5NIyAI4eo/vvPZscREREp8lToiIi4gXRvb7bfcTcA9T6fijU93eREIiIiRZsKHRERN7Hn1r6kRJQmMCaahv/8Y3YcERGRIk2FjoiIm3D6+rFr2EgA2i9bBmlpJicSEREpulToiIi4kQP97yA5PIJSNht+339vdhwREZEiS4WOiIgbyfD1Y9t/5+oEvfsupKSYnEhERKRoUqEjIuJm9vTqiy04GI+YGPjoI7PjiIiIFEkqdERE3EyGjw9LO3bMvPHqq5CQYGoeERGRokiFjoiIG9rcsCHpNWpAXBy8847ZcURERIocFToiIm7I8PDgzNixmTfefhtOnDA3kIiISBGjQkdExE2l3HgjNG0KiYnw2mtmxxERESlSVOiIiLipuJMniX/00cwbkyfDoUPmBhIRESlCVOiIiLgZR7IdsDB37lwm7dpFVLVqkJaG/YkniImJwWazmR1RRETE7XmaHUBERLJzOlIBg8hWnUhPTWHhkaPc+9mn+M6cybTwcGwVKjByxAhCQkLMjioiIuK21KMjIuKmfIND8fTx5WilSA62bovVMLhp07+kOxwcOnRIvTsiIiLnoR4dEZEiYMuIMVRes5KqK5dT+eqrmDt3LgCeXl7q3REREcmFenRERIoAW/WaRN02CIDuf8wnskWHzKFtDgd2u93kdCIiIu5HhY6ISBGxfdTjpPn5UTE6mtprV+MbHGp2JBEREbelQkdEpIhIjSjNv/1uB6DRR+/jkZpiciIRERH3pUJHRKQI2XprX2zBwQTExnD1zG/MjiMiIuK2VOiIiBQhTl9f/urSBYB6X36Kf2KiyYlERETckwodEZEi5t/69YmvXRcvexIdlywxO46IiIhbUqEjIlLUWK1sfOgxAJpu2IDnnj0mBxIREXE/KnRERIqg442bcbhdJ6yGQdD48WAYZkcSERFxKyp0RESKqE0jx+C0WvFdvBh++cXsOCIiIm5FhY6ISBF1plIVVrVuDUD6Qw8Rc+AANpvN5FQiIiLuQYWOiEgR5Ui2s6x9BxKCgvA8eJAd99zDpMmTVeyIiIhwkYXO5MmTqVq1Kr6+vrRs2ZK1a9fmue0nn3xCu3btCA0NJTQ0lK5du553exERyR+nIxWHjzcbHnwEgPYrV+J/4gR2u93cYCIiIm6gwIXOzJkzGTNmDM8//zwbN26kYcOG9OjRg+PHj+e6/ZIlSxg4cCCLFy9m1apVVKpUie7du3P06NFLDi8iIhDd8zZONGuFZ2oq3f/80+w4IiIibqHAhc4777zDsGHDGDp0KHXr1mXKlCn4+/szbdq0XLf/5ptvePDBB2nUqBG1a9fm008/JSMjg0WLFl1yeBERASwW/n3mJTKsVq7Zvh3v5cvNTiQiImI6z4JsnJaWxoYNGxg3bpxrmdVqpWvXrqxatSpf+7Db7TgcDsLCwvLcJjU1ldTUVNfthIQEABwOBw6HoyCRLzun05n5Q0YGFsPAarVCRgY4nee9rXX5X5fVvu6YzR3XFXQ/at/C/X01q31tV9VmT6++XD13JsHPPIPjxhvB2/vKv0kWoqz3f7M/B4ortW/hUvsWLrVv4XK39s1vDoth5P/iC9HR0VSsWJGVK1fS+r+ZfgDGjh3L0qVLWbNmzQX38eCDD/LHH3+wbds2fH19c91m/PjxvPDCCzmWz5gxA39///zGFREpUbwSE+kyYgQ+Nhs7br+d3X37mh1JRETksrPb7QwaNAibzUZwcHCe2xWoR+dSTZgwge+++44lS5bkWeQAjBs3jjFjxrhuJyQkuM7tOd+DuRKio6PZvHkziWGVSU1K4Oi6ZVTv3BO/0HBOH9qX5+3UM6e1Lh/rbAf3EpZmIzGsMn7hpd0qm7uuK8i2aQmn1L6F+Ptqdvsmnornt65duXXOHGrPnk3Np56Cq64y9T3zcnI4HCxYsIBu3brh5eVldpxiR+1buNS+hUvtW7jcrX2zRntdSIEKnYiICDw8PIiNjc22PDY2lnLlyp33vm+99RYTJkxg4cKFNGjQ4Lzb+vj44OPjk2O5l5eX6Y3r4eGR+YPVimGxkJGRAVYreHic97bW5X9dVvu6YzZ3XFfQ/ah9C/f31cz2xWrl33r1uOHECXyWLcNr1ChYsACychUT7vBZUJwVxfa12WzZZhv09/cnJCTExER5K4rtW5SofQuXu7RvfjMUqNDx9vamadOmLFq0iF69egGQNbHAyJEj87zfG2+8wSuvvMIff/xBs2bNCnJIEREpCIuFqCeeoNbatVgWLYKvv4Y77zQ7lUihsdlsTJo8mfSzxux7enkxcsQIty12ROTKsBb0DmPGjOGTTz7hiy++YMeOHTzwwAMkJSUxdOhQAAYPHpxtsoLXX3+dZ599lmnTplG1alWOHTvGsWPHSExMvHyPQkREcCTbAQvfrVvHX9deC0DG6NEQH29uMJFCZLfbSXc4iGzViZrdexPZqhPpDoeuJyUiBT9Hp3///pw4cYLnnnuOY8eO0ahRI+bPn0/ZsmUBOHToUOYsQP/56KOPSEtL47bbbsu2n+eff57x48dfWnoREXFxOlIBg8hWnTjYrB2xW7ZQ9vhxePxxyOMSACJFRZ7D0wwDq9NJoKcPvr7+WNLTTUwpIu7koiYjGDlyZJ5D1ZYsWZLtdlRU1MUcQkRELpJvcCgAv9x8M/d89hlMnw4DB0K3biYnEymAkydh/37Yt4+U7dvZ/9tv+J05g7/djr/djpfdTkZGBuXS0njWMOCll1x3zbBYYMIEnAEBEBGBR9myUKYMlClDcvnyJFeogLNqVVIrVsTjrEmO0tPT8fT0zPEzuPd5PyKSuys665qIiFw5RypVIm7gQCK+/RbnkCEkrl5NSKVKZscSyc4wMgua9etJWbMGNm/Ga9s2PI4fd23iCzQuwC6thgEpKZn/4uNh1y7XOr///mU5VaoUMeXLc6xcOY5VqMDRChWwBwRkTuJx1hU4dN6PSNGjQkdEpBjKOl9narVq3B8aSlh0NPt796b6woX6oiamsp0+TdqmTXivXInfhg14r14NMTFAZkFztoyyZbHWrIm9QgXWHj+Of4t2ZERWIT7VzsGoXYS37ECyI43YPVup0qM3fqXCSdi3g+OrlxBZvzleyXbOrF5Kp2uuISQtjdSoKGJXr6ZcqoPg6CP4JCURevo0oadPU3fHDtdxT0ZWYn/ZMpzpegOn2nTglI8XR1Yvxm636/dHpAhRoSMiUgxlna9Ttn0PNlSsSbcRd9N4/Xrif/stcxibyBVis9lIPnEC7xUr8Jg/H8vvv1P63GtgeHmRVq8e/1qtpLbpQHz1mmw9fpibBw4kIiKCuLg4ls6dS83uvfELi+BU1B5O2E8RclUdnAmnSDmyD6evH05/f9KCgkkMCiK9Vl2Sk+0cjD3M9KxzeyIj4bbbqNm9NykJp4hf9AtNKtWizJHD+K9bRciWTZSOiyPsyGHCjhyGDRuAlzhZqzZbypXBq3lzKFs2c0p3EXF7KnRERIox3+BQznS5jp19B1F71gxKPfoo3HAD6K/SUthOn8Y+YwZxEydSZf9+PJ1O16p0Hx+OXdOA3SGBVL3zTvw6dCAuKYlf/ytmHMl2HMtPMHfu3EuKcPYEHb7BoSTEHOL4lvWu9ckBAcQ2a0lC9xs51bkLR1Yvpm7LzpRavZzAP36m1ikbYbt3ErZ7Jx1274RlyzILnT59YMAAuPZaFT0ibkyFjohICbD5/lGUWfg7YTEx2O+/H8eUKRqCI5dfUhL88gt89x389hv+aWnU+G/VmQoViWrYmH/DQvC492FSMjI4uPwPlh86BF99lW03FypQCso3OBS/sAhSEk5dcNu0kFIcat2WIxYH+7v3ppQBob//RMjcb6lz+DDW2Fj48MPMf5GR0L8/3HUX1K9/0flEpHCo0BERKQFSgJ963cqQ6dPw/+47vvf0pMekSSp2JN/Ond7ZNSuZYWDZuJGgmTPx++EHrElJrm1SatRgZeXKJA17GEfj5pw6uJcjqxdT08cXZ8IpLlTMFKRAKSyp4REcuOEW9no66XPzzVTYuZPAX3/F+5df4MgRePvtzH8tW8KwYZmFT2CgaXlF5P9U6IiIlABORypHqlRma+9+1J/7PTfOnUvio48S0qiR2dGkCLDZbEyaPJl0h8O1zCclhfr//kuTjRspd+yYa/mpUqXYWr8+W+vV43iZMmCxULNqdfwsllz37Q7FzIVkTe4x5+efAfCoW5cB48YRtm4dfnPm4PvHH1jWrIE1a2D0aBg0CEaOhHr1zA0uUsKp0BERKUG2jhpLxS3/ELZnF56jRsGSJTrHQC7IbreT7nAQ2aoTEQlnqD59Clcv/APv/wqfdA8Potp34kCfgewtV4bjWzcQ2aoTZZLOXNKQM3dx9lC69NQUjm1azTdz5mSubN6c4Pr1udPppNTs2XgeOAAffwwff0xKx444H36YgFtuMTW/SEmlQkdEpATJ8Pbm7xde57rBt+GzfDkJ48eT9MADuhiinJ9hUCUqii4Lnyfy76VY/ru+zOlqNdjZ4waWBftRsdcd+IVF4B21B/j/hWuLE9/g0P96nv4/5C7xRAzHNq1mMgbceSdVDx2i+Zo11N65E98lS2DJEpx162IZMwZLSAixsbF4eHgAugipSGFToSMiUsLEly3H/Ouu5+ZffibglVf4LjaWE1Wq6GKIkpPTCbNmEfHKKwzZutW1+HDzliyuXQuP+x8j5cxpklcvNjGkObIPucssfNKSzhBltZI+YCh7ziRR8+vPuOq3eXhv3w733kvX0qVZ3KoVGxs2JMPTEw9PT/r360dgYKCKHpFCoEJHRKSEcTpS2di0CfVO2aj29zL6//obkwffyaFDh4iIiNAXLoH0dPj2W5wvvYTHnj14AQ5PT6JuupWoYSM55EHmpAJ5nHdTEp3dg+UbHIqz6lVsfuJ5fq5dkwc9PQn45BP8jx/nxp9/puPadWy4tS/LIkoxY8YMADy9vPTHBpHLTIWOiEhJZLGw/tlXKHdXP0KOHuHGX39lrrc3WCz6wlXMnTt72tmFrcXhwDJ9OrzxBuzbhweQ7OvL6latWNeihWt4Gv8NT5MLS/XzI2n4cBLuuotTb7xBjR9+IiD2GO2nfEDD4GD+ued+9na9jsPrlmG32/V7J3IZqdARESmh0oJDWPfmJNoO6UvDf/8lsUNXdt54C0dWL9YXrmIqt9nTPL28GDl8OAGzZtH1+efxPHECAGdYGIsbNyb6wUdJIoPkYjCpgFni4uLIyMgg6qab2DpwGHX++pOrprxHSHwc7d99gwY/zeW3Vi3gv3OfROTyUKEjIlKCxbVozfqhw2jx2ce0mvIBZxo25YjZoaTQnD17mm9wKCmn4wn5bBIBLVrgeeAAnoCzTBmSHniAQ9dfz9/z51OzfCTebjz1szvLmpZ67ty5WK1WGjRoQIaPD/vvvIfNLVtSftJbdFy1mlL79zJo/15So6Jg4kRo3tzk5CLFg+YUFREp4bbcNpAdtWvj4XDQ7ulH8Tvrgo9SPPkGlaLq1n+59eEHuG3OHDwPHCCjdGm23Hsvb9x3H+9aLMyZP9/smEXe2dNSl76mcfZ13j6sbtOGebN+Y9vtQ0n38MBn5Upo0QIGDoTDh80JLVKMqEdHRKSks1j4qVcvKn7zLcGHD9JnzhziBg1yrdbkBMVL5KFDdB1xN2U3bwAgxccHx8MPk3D33ezfuZOyPqXwCQkjIeZQsbgGjjvwDQ7NnJI79XSOdWnBwWweMZo/S4dwX3Q0/rNmwXffwbx58NRT8Oij4Ot75UOLFAPq0REREVJ9fVn+6tuk+/hQY/9+Eh94gKlTpzJ16lQmTZ6MzWYzO6Jcqt27CR06lHumTaPs5g04vX3YPnAw748aRdQddxCXkgKAT1CpzOvhBASZHLhkSShVCtvEibBpE7RrB3Y7PPMM6XXqkDRzptnxRIokFToiIgLA6Rq1WProOABar15Nj+SMzCvBOxzZZumSIubkSXjkEbjmGnz/+IMMi4W9N/fmzz9WsPbeB0kOCGTu3LnMmzfP7KQC0LAhtnnz+KFfPxKCgvCMiiJgwAAcPXrA3r1mpxMpUlToiIiIS1T7Tizu2BGAFm+/SmV9sSq6HA547z2oWTPz//R0Urp25aMHH2TNuPEkl6943nNI5MqLi4sjJiaGQ4cP82/duvzw5ff8028QTqsVrz//hPr1YcKEzOdWRC5IhY6IiGSzrEMHorpehzU9nfZPjSE0Pt7sSFIQhgE//wz16mX25Jw6lfnzn39y6ssviStdOsddfIND8fbXUDWznD0729SpU5k7dy4AnmUrsvWRJ/nwwQdJbdcOUlJg3Dho2hTWrDE3tEgRoEJHRESys1hY/fSLnKzfCJ8EG7d/8w3WuDizU8kF2Gw2TixaRGr79tCzJ+zeDaVLw5Qp2JYsIaZePeL0PLqls3vWanbvTZn6zbKtPxkRwcnvvoMvv4TwcNiyBVq3hlGj4MwZc0KLFAEqdEREJAenjy+rJ08nsXwFwk+eJPSOO/SFyo0l7NnD/q5dCe/WDZ8VK0j38ODksGEcW7GCPZ07M2nKlGw9BeKefIND854IwmKBO++EnTth8ODMnrsPPoC6dTN78EQkBxU6IiKSq5QyZfnr3Skk+fvj/e+/pN50EzEHD2oGNneSkgITJhDYpAmN16/Hahjsu7Ydk0c+xAcVK/Lxt98yY8YM0tPTiWzVKUdPgRRBERHwxRewYAFUrw5HjkDPntj79uXYjh36/RQ5iwodERHJ08nSZZgx6HbSvLzwWbaMuJtuYvIHH+jLlNkMA2bNgjp1YNw4rImJHK1QgT8/+pwlz77M6dBSOYZB+QaHasroIixrooKYmBgOHz5MzDXXsPeHH1jZrh0ZFgv+s2cT0KIF8x96SL+fIv/RBUNFRCRPTkcq0ZEV+ev5V+n+/Djqb91Kuqcnh26+mYgyZXQxUTNs2JA5ycCKFZm3K1bk9BNP8GlcHDUbNoGEU8D/h0Gl/HdbiqazJypwsVgyi12ALl2I6z2QDu++QcihKPp/9RX2tDT4+GPQ76aUcOrRERGRC4rv3IN1b35AhtVK482bcdx9N1OnTNHFRK+kmBi4+25o3jyzyPHzg+efh127SL7tNrDqI704ynWiAsPINhTxTMu2LJ63iB0DBmMA/jNnumbaEynJ9K4oIiL5cvSGW1j6+FNkWCw02biRfus3k56WpouJFraUFHj1VbjqKpg+PfMv+bffDrt2wfjxEBBgdkK5As6dqODcoYgZvn5sHPUY04cOJb1q1cxzd3r0gPvug8REk1KLmEuFjoiI5Nv+Tt34sVcvDIuFOr/N46affwan0+xYxVPWeTi1a8PTT0NSErRsCatWwddfYwsOdp2zoWmjJcvhKlWIW7gQHnooc8HUqaQ3aEDc77+r91VKHJ2jIyIiBbKlYUPK1WtK65efpenGjSQ/8ADMng0+PmZHK5JsNlu2XjF/f39C9u7NcR4Or7+O7YYbsKekkLhnD99//z3p6enmhBa3dsJuxxg3DmezZgQ/9BDBBw4QetNNLO/cmcYzZxISFmZ2RJErQoWOiIgU2IHre5Lu40ub55/A75df4MYb4YcfIEizehWEzWZj0uTJpDscAAQlJNBlyRIabNqExTAyz8MZOxYefxxbenq2bQEiW3XCNziUhJhDHN+y3qyHIW4it4kLfB94gL6r1lJ92WI6LlxI2vXXw8yZULWqaTlFrhQNXRMRkYtyuHN3Ztx+OxkBAbBoEXTuTMLu3a7hVBomkzebzUZMTAyHDh0i3eGgWv3m9Nl/mFGTJ9Nw40YshkFy794krFvnOg/HbreT7nBkOwn9vBeYlBInt4kLUvz8WPXaRFY++zKp3t54r10LDRvCN9+YHVek0KlHR0RELtqB6tXZ/8knVBs5Eo/166F5c+YNGMCxChXw9PJi5IgRmn76HGf34ljT02m5fj0d352Ir+00AIcqVebP7t04WqkSHj/+SH9vbwIDA13n4fgGh5qYXoqCHFOLWywcuL4n62zHeeDvv/HesAHuuAN+/RU+/BBKlTI1r0hhUaEjIiIXJWuYzDe7dxN6++0M/PZbSsfFcc8XX7D00XGswIHdblehQ/bzcOLi4khPTaV9GjSd9gnBx2MBSKhekzV3DmUlaUS27ky51BSObVrNjBkzzIwuxcjpsDDif/iB8tOnw4svwrffkr5sGacnTcKrUyf9rkqxo0JHREQuytnDZHyDQ5nXvC3tX3yaq/bupcur4/Fu2zbzui8lXLbzcAyDGnv3Muyvv6gQEwPAmcBAtj84hujB93LyyAFYvRjf4ND//hpv6DwcuaziTp+GYcNIr1OHwPvuI/ToUcJ692ZZly6aqECKHRU6IiJySVzDZMqU49tBg7htTxR1v/2SditWkNa7d+aMbFWqmB3TNHa7nfS0NFp6B9F0xpeU3vYvAA5/f/69bSB/RJalyk234eeZ+0dyjmFIIhcht4kKvO+/n9vWbuCqRX/SceFCUnv2hO+/hwoVzAsqchmp0BERkcvGsFrZ9NBjxNetT/OXn8F3/Xpo1Ag++wx69zY7XqE6e3iav79/5jAgw8B7+XKGTptG5cOHAUj39mZd06YcffpVbJ5WHKsXmxlbSohze2CzegjXvvQWJ9rMo9mEF/D5+2+cDRpge+89PG66SUPZpMhToSMiIpfdoS492Bh3hGF//YX/li3Qpw9Jt9xC4ssvkxEe/v9CoJg4d5poTw8PHqlVi4APPiB8xQrCAae3N/sH3sW6HtezZ/e/1AwLB/XSyBWWWw/h7o5d2XgqlttmfU+52FjC7riDVW3bUnfuXEJKlzYxrcil0fTSIiJy2TmS7ZwODePtXr1Y0bYtGRYLAT/9RFCLFqweMYJJkyYVq+mns6Z+rty0LR3PpDLs/fcJ6N8fVqwgw8uLNS1a8NOs39gy7gWSw8LNjiuSjdORSnxEOPM/+Ypdtw0EoPWKFfj16AH795ucTuTiqUdHREQuu6xhMhWu7crB6/tybPki2r4zgXKxsdz6ww802rSJtGbNoEcPs6NeFpb4eNqsWMG1kz/E/8RxAFK9vVnfrBlrWrXiTHAwNUuXwc/knCLn4xVRjm0vv82xpi1o8cI4/DZtIqNRI1Lefx//IUPMjidSYOrRERGRQpM1TMbWsAmfDB/OpvsfxuntTbWoKEpfd13mtTyiosyOeVFsp08T9/PP2Pv2pUzTpnRbuBD/E8dJCgtnQdeuzPz2B6LemoLftZ3NjipSIAdatObj+x/gUKVKWM+cwX/oUNKGDIH/zkETKSpU6IiIyBWR4eHB9sH38PO38/inQYPMhd98A1dfDcOGwa5d5gb8j81mIyYmhpiYmBzD62w2G8e2buX4+PEk161LRM+e+M+ejTUtjejy5Vn11At8//l3rGzbFo/ylfALi8A7IMikRyJycZyOVGylQlg45XM2D7gDA/D+4gscTZpwYsmSYjXsVIo3DV0TEZErKql8BX7s3Rv/p56i8qRJ+KxYAZ9+ivHZZ6Redx3pI0cSeP31YLFc8Ww5JhXw8mLkiBGEeHlhnzmT46+/TvU9e/DIyAAyZ1A72PV6Nrdvz9bkBGr2uJUMTTAgxYRPaGk2DxvJv15Wes+dQ+CuXZTq1o0/b7qJttOnE1KqlNkRRc5LhY6IiFxRWdfzmLFzJ3TtSqVatWjz99/U3rUL399/h99/x1mjBh733gsDB2IrVQq73Y7T6Sz0bFmTCkS26oRffDyB303HZ+lSWLECf7udq/7b7kS1GmysVZOE0c/gUbUGp6P2gKaJlmLI6UjlYI3q/PTp13R6900qrF3JjT/+SLJhwJdfQnCw2RFF8qRCR0RErqjcrucxs3Jl6pWvRr2531Ptrz/x3rcPxo2DceOwV6jAzquv5kCNGkT06EFCQgLh4Zdv5rKs699YTp8mdeFCuv35J1d/9z3hO7dn2y69UiVWVq2K7YFHOR4WypHVi6kZHKIJBqRkqFKD1Z9/T7UP3qLhlPfw++kn0hs2JGX6dAI7djQ7nUiuVOiIiIgpzr2eR0r9xqyv35g5TRrwYOnSlJo3D2PZMspHR1M+OppOixeT/uWXJDdqRGLLlqTXqoVH/foENWsGAQE59n/2BTzT09Px9Mz8yLMkJREQF0dQXBwpa9dy9McfKRMdTXh8PBag6ln7OFqhAsG3307QwIGcKFuWxZ98Qs2q1XX9GymZrFb+uW0AG9MS6TN7FqWiovDr2pXkl17C78knTRluKnI+KnRERMStOHx8ONy1K8kDBnBq9272vPMOjROSKLNpA7620wStXQtr12a7T0ZwMM7wcIyICDKCg0k3DGKOHSPDMPBOS8MnNRXPlBQCkpLwT0523c8XqHvWfk5ViORAuTKk3NibmOat2bpxOcOHDyeofHmIibkyDSDixpyOVI5UiuTnT7+h3buvU3XlcvyeeoqUxYs5/e67+EVGFquLAUvRpkJHRETcRtb5O3Pnzv3/wiZNSOzem9TT8VTZtxXf3QcofeQwgbt3EnJgHwF2O9aEBKwJCXDggOtutc9znGRfX6hShdQaNViXlobHDX1Ibnktx86cyhyS1r2na9u4uLhs/4sIWCtWZsmLb1DmnZfo/scf+C5YgF+bNvzYvz+93nxTxY64BRU6IiLiNnI7f+f4lvWZKy0WEitV4ljjdsRGlOFU1B6OrF5M9Wua4Rl9mJRNa6hcoSr+WEk9dYLEQ/spU7shyRjEHNlPxLVdoUo1YoG9m/4GDNdxa7a6Fr+wCDjz/yFpuRZdIuLiTE9jXYsWpN1wK51ff5mQwwe589NPOe7jg/2JJ/APClLBI6ZSoSMiIm7n3PN3zsdasTL2oCCOnIrFu3tv/MIiXEVQze69SUnI7KVxNmuZuc+oPWQVU2lJZ/5fSJ3jvEWXiLgkNWnJkh8WcM2To6ixcD7lJk1i/6+/8n2/fgwZN07FjphGFwwVEZESyTc4NF8X88wqunThT5G8pQcGsuTRJ/nxlltw+PhS/cAB7pk0ifTffjM7mpRgF1XoTJ48mapVq+Lr60vLli1Ze85JoWfbtm0bffr0oWrVqlgsFiZOnHixWUVERETEXVks/NO4MfOnf8epGlcRmJRE+KBBmVPF/3cRXpErqcCFzsyZMxkzZgzPP/88GzdupGHDhvTo0YPjx4/nur3dbqd69epMmDCBcuXKXXJgEREREXFfCVWr88en37C+WbPMBRMmQIcOcPCgucGkxClwofPOO+8wbNgwhg4dSt26dZkyZQr+/v5MmzYt1+2bN2/Om2++yYABA/Dx8bnkwCIiIiLi3pw+vvx6002c+vhjCA6GVaugUSP48Uezo0kJUqBCJy0tjQ0bNtC1a9f/78BqpWvXrqxateqyhxMRERGRoutI69Yc//NP0ho3htOn4dZbSbr7bmyxsWZHkxKgQLOuxcXF4XQ6KVu2bLblZcuWZefOnZctVGpqKqmpqa7bCQkJADgcDhwmj/F0Op2ZP2RkYDEMrFYrZGSA03ne21qX/3VZ7euO2dxxXUH3o/Yt3N/X4ty+Zh+/OLSv2ccvDu1r9vGLSvua/XgdKXasVg9+/K8Hx3rzzXTy96fN338TMH06x+bPJ+OHHwhs0uSyfD/L+n5o9vfE4srd2je/OSyGYRgX3ixTdHQ0FStWZOXKlbRu3dq1fOzYsSxdupQ1a9ac9/5Vq1blkUce4ZFHHjnvduPHj+eFF17IsXzGjBn4+/vnN66IiIiIuJEy69fT5P338UlIIN3Xl3/uv58jHTuaHUuKGLvdzqBBg7DZbAQHB+e5XYF6dCIiIvDw8CD2nO7G2NjYyzrRwLhx4xgzZozrdkJCApUqVaJ79+7nfTBXQnR0NJs3byYxrDKpSQkcXbeM6p174hcazulD+/K8nXrmtNblY53t4F7C0mwkhlXGL7y0W2Vz13UF2TYt4ZTatxB/X4t7+5p9/OLQvmYfvzi0r9nHLyrta/bjzXPddbcR07QdTUbfR9WoKJpOnEjt6GhS3nyT4PLlL/r7mcPhYMGCBXTr1g0vL6/L+M1PwP3aN2u014UUqNDx9vamadOmLFq0iF69egGQkZHBokWLGDlyZIFD5sXHxyfXiQu8vLxMb1wPD4/MH6xWDIuFjIwMsFrBw+O8t7Uu/+uy2tcds7njuoLuR+1buL+vxbl9zT5+cWhfs49fHNrX7OMXlfZ1h8eb17qE4BC+HHwX7Zcuof2yZQR8/z3JixeTMmcOQe3aXdL3NHf4rlicuUv75jeDtaA7HjNmDJ988glffPEFO3bs4IEHHiApKYmhQ4cCMHjwYMaNG+faPi0tjc2bN7N582bS0tI4evQomzdvZu/evQU9tIiIiIgUcU5HKobVwr5xL7Log09JCgsn4sQJArt0gTffzDznR+QyKFCPDkD//v05ceIEzz33HMeOHaNRo0bMnz/fNUHBoUOHsFr/Xz9FR0fTuHFj1+233nqLt956iw4dOrBkyZJLfwQiIiIiUuT4Bodypuv1/F6tBvXG3EftXbtg7FjS583Dc8YMqFTJ7IhSxBW40AEYOXJknkPVzi1eqlatSgHmOxARERGREiTR15eZAwbSeOMGrps/H+8VKzDq/a+9O4+Oqk7TOP5U1kqAhIRIEgh7IKxhC0uCGhAwamRgemFpR9OKS2sY4aB0Y48jIvagtq3NtNhA28DROQ4CDbiAYAQJglG2pEloRAi7ZgEhewhZfvMHTcZAElOBSi18P+fUOeTW71LvfXg5p97cW7f6y7J0qTR1qqPLgwuz+dI1AAAA4EaprqyQLNLZ5Kf1/pKVOtOxoyxFRdK0aSr/6U9VePKko0uEi2LQAQAAgMNZA4JU2rWHlj80Xdvj41Vjschv3Tpp0CCVbNzo6PLgghh0AAAA4BSqKytkPD2U/cwLSlnytorCOyqwoECtJkxQSXKyCvPzHV0iXAiDDgAAAJyKNSBIpfFj9cGyt7V/8BBZjFHrN9/UxehoFaemOro8uAgGHQAAADilCm8vfTjxX/Tpfy5QeWCgQvPyLt+G+rnnpEuXHF0enByDDgAAAJxa3t0TtfHd93Wwb19ZqqulBQukYcOk9HRHlwYnxqADAAAAp1cRFKy1kyfrwtKlUkiIdOCANHy4NG8eZ3dQLwYdAAAAuIwzsbHK27ZN5ffeK1VVSS+8IK+4OAUcO+bo0uBkmvWFoQAAAEBLqiwvk2TRunXrLm+IiVH/Vq008ZNP5HXggOLnzJHJzZWef17y83NkqXASDDoAAABwetWVFZKMIkaOkTUgSCVnc5Qli4516qR7N21Sn3/8Q3rlFVWtXq3Cl1+WV0KCAgMDHV02HIhL1wAAAOAyrAFB8gsOkZevVZJR8LgJ+vy/XtNXc+eqKCBAXidOqN2UKTo5erSKsrMdXS4ciEEHAAAALssaECQvX6tyR47U+8v/V1//7BcyFouiMzLkHxOjgkWLVFhQ4Ogy4QAMOgAAAHALHmEd9Y8XX9XGP/1FuaGh8iooUNtZs3R+6FCd2LxZOTk5ysnJUWFhoaNLRQvgMzoAAABwK3mRPfWXRx9Vwnf5GvzOSnU7dkzViYn6auRIpcbHq7pVK02ZPFmtW7eWv78/n+VxUww6AAAAcDs1np46Mj1ZJ24drYEL5ynqm28U98UXGnjoa20ZM0bvVlZKFou8vL01IzmZYccNcekaAAAA3FZxeAet+sUv9Nnv31BJl25qdeG8frLub3ps7TpF3xKhqspKlZWVObpM2AGDDgAAANzed6Nu16cfbtOeXz6iS97eCjuYqYn//qgSP/xQHvn5ji4PdsCgAwAAgJtCjY+vDkz9Ny2eMUMnxt4lj5oaxezbp1vi4qQFC6TSUkeXiBuIQQcAAAA3laLAQO1a8Io+eXOFznTsKI+yMum556RevaS//lWqrnZ0ibgBGHQAAABwUzo7aKj++vDDOvXKK6rq3Fn67jvp4YelwYOljz+WjHF0ibgODDoAAAC4KVWWl0kWD60oK9NLDzygLXfeqXI/PykzU7rnHum226Rt2xh4XBSDDgAAAG5K1ZUVkowiRo5Rt3sm68zs/9B/P/mkzj7wgIzVKu3aJY0dK40ZI33+uaPLhY0YdAAAAHBTswYEyS84RJ7evrro5683u3fXa088oa+GD1eVp6eUmirdfrs0fryUluboctFEDDoAAACA6p7hCfvZL5X1wu/1pyef1Pc//7mMt7f06adSXJw0btzlP3NJm1Nj0AEAAAB+4IdneIoC2+qNfv206IknlD50qIyXl7R1qzR+vKoHD5bWrOEubU7Ky9EFAAAAAM7oh2d4qiou6oOgYG2/7TbFpqVpyP798vn736XJk6XISOnpp6X775f8/R1dNv6JMzoAAABAI6wBQfLytUoyCrjrX5X9+l+0+n/Want8vKoCA6WjR6Vf/Uo1HTuq5PHHlb97twoLCx1d9k2PQQcAAABooiuXtVWFhCp1zB165YkntDkhQeeDguRRUKDWS5YoZORI5cbGquSDD/gcjwNx6RoAAABgoyuXtYXG36XjMaO0e8RujfSwasDGDxW+J01Rhw5JEydKUVHSQw9JSUlSaKijy76pcEYHAAAAaCZrQJB8WrWR8fDQ2TvvVdo7f9OH727QnmHDVOPvLx0+LP3mNzIREbp49906//bbKvz+e0eXfVNg0AEAAABuoKKu3bUpMVGHtm5V3osv6kynTrJUVcm6ebOCk5Lk0a2bKpKTpT17uLTNjrh0DQAAALiBKsvLJFm0dsuWyxumT1f/sK7qu32bun78vtoUFkpvvnn5ERkpTZ0qTZsm9e3r0LrdDWd0AAAAgBvoh7elbj8gRpJ0MXqIDj3/kjZ8sE2rpk5VwV13yVitl+/Y9uKLUr9+0oAB0rPPSrt3SzU1jj0IN8AZHQAAAMAOrAFB12yrqKrUyd59dFhG3oMHq8/Roxp/7pxa7dwpS1aWlJUl/e53Uni4NGHC5RsajB7N9/M0A4MOAAAA0EKu/hLSA75WHZCRdfhw9fzmG/U+ckR9TpyQJSdHWrZMWrZMxtdXl4YNkxk7VtZ775UGD5Y8PR19KE6PQQcAAABoYdaAIF0suqArQ481IEgXii5ozZef6dGkJAXs36+vX35ZkV9/rcCiIvnu3Cnt3CnNny8FB0t33CHdeqs0apQ0cKDk7e3oQ3I6DDoAAACAA135EtIrzhUX61zPnvronnsUMf8Vtb9QqHY7tyl462b1PHNGnufPS2vXXn5IqvHzU01MjLxuv10aOVJFPXqoNDBQslgkSf7+/goMDHTIsTkSgw4AAADgBK7crW3dunW126yBwars1kvfhIbqZPtgeVRXqcO336rryZPqdOqUOp0+Lb/ycnl8/rn0+eeSpABJnv7+ygkPV25YmPIjIjT+qafUZtCgm+rMD4MOAAAA4AR++PmdS6XFys/ce81zHUaN06XSYu3M3Hv5krfWgfJO/0p+Wz5Sp9On1OG77xRy7pxalZUpMjtbkdnZl/+C996T8fJSVefOqu7RQ1WRkarq0UMVXbtKXbuqJjRU/m3auNWZHwYdAAAAwInUd7e2+p67csnbhZ69dej7HOXPeFpppcU6vz9NQ7v1VeiZM/Lf+6Vape9W+/x8+VRWyvvYMXkfOyalpNT5e6s9PFQcEKDyyEipc2dVd+ggz86d5de1qywhIWr17bdSSYkU1HBtzoZBBwAAAHADV4agKm9vfd93gMpuHaMLI0fqzJefKWJ4vLxPn5B2blNkm3YKzs+X/5FDanPyuAKLi+VZXa22BQXS3r2XHz/gJWmcpOqDB6XFi1v6sJqNQQcAAABwc9a27XTRw0Nnck7K886fKDc4RBdOHNGZLz9Tz7ETZTmZrbLPPla39hFqW1QknxPZ8jh2RK1LStSqtFQB5eWqDAyUK32bD4MOAAAAcBMznp4qD7lFZzp1kvXOn6jgB0NQxMgxshijdhUFGjp4MIMOAAAAANdnDQiSamqkigLJw8PR5djEtaoFAAAAgCZg0AEAAADgdhh0AAAAALgdBh0AAAAAbodBBwAAAIDbYdABAAAA4HYYdAAAAAC4nWYNOosXL1bXrl1ltVo1YsQI7d69u9H1a9asUe/evWW1WjVgwABt2rSpWcUCAAAAQFPYPOi89957mj17tubNm6f9+/dr4MCBSkhIUH5+fr3rv/jiC02bNk3Tp09Xenq6Jk2apEmTJikrK+u6iwcAAACA+tg86Lz22mt65JFH9OCDD6pv375asmSJ/P39tXz58nrXL1q0SHfddZfmzJmjPn36aMGCBRoyZIjeeOON6y4eAAAAAOrjZcviS5cuad++fXrmmWdqt3l4eGjcuHFKS0urd5+0tDTNnj27zraEhARt2LChwdepqKhQRUVF7c+FhYWSpPPnz6uystKWkm+4goIClZWVqTD3jCrKS3Xp0iUVfHdaZcVFKjmb2+DPl8pLeK4Jz5Wey5WfZ40Kc8+orLTEqWpz1udsWVtZXky+dvz/6u75Ovr13SFfR7++O+Tr6Nd3lXwdfbzukK+jj8mZnrPIyONSmQoKCuTn5+fQ9+KSVFxcLEkyxjS6zqZB59y5c6qurlZoaGid7aGhofr666/r3Sc3N7fe9bm5uQ2+zsKFCzV//vxrtnfr1s2WcgEAAAC4qeLiYgUGBjb4vE2DTkt55pln6pwFqqmp0fnz59WuXTtZLBYHViYVFRWpU6dOOn36tAICAhxaizsiX/siX/siX/siX/siX/siX/siX/tytnyNMSouLlaHDh0aXWfToBMSEiJPT0/l5eXV2Z6Xl6ewsLB69wkLC7NpvST5+vrK19e3zra2bdvaUqrdBQQEOMU/tLsiX/siX/siX/siX/siX/siX/siX/typnwbO5NzhU03I/Dx8dHQoUO1devW2m01NTXaunWrYmNj690nNja2znpJSklJaXA9AAAAAFwvmy9dmz17tpKSkhQTE6Phw4frj3/8o0pLS/Xggw9Kkh544AF17NhRCxculCTNnDlT8fHx+sMf/qDExEStWrVKe/fu1bJly27skQAAAADAP9k86EyZMkVnz57Vc889p9zcXA0aNEibN2+uveHAqVOn5OHx/yeK4uLi9O677+rZZ5/Vb3/7W/Xs2VMbNmxQ//79b9xRtCBfX1/NmzfvmkvrcGOQr32Rr32Rr32Rr32Rr32Rr32Rr325ar4W82P3ZQMAAAAAF2PzF4YCAAAAgLNj0AEAAADgdhh0AAAAALgdBh0AAAAAbodB5yo7duzQhAkT1KFDB1ksFm3YsOFH99m+fbuGDBkiX19fRUZGauXKlXav01XZmu/27dtlsViueeTm5rZMwS5k4cKFGjZsmNq0aaP27dtr0qRJOnz48I/ut2bNGvXu3VtWq1UDBgzQpk2bWqBa19OcfFeuXHlN71qt1haq2LX8+c9/VnR0dO2X0cXGxurjjz9udB96t+lszZfevT4vvfSSLBaLZs2a1eg6erh5mpIvPWyb559//pq8evfu3eg+rtC/DDpXKS0t1cCBA7V48eImrT9+/LgSExM1ZswYZWRkaNasWXr44Ye1ZcsWO1fqmmzN94rDhw8rJyen9tG+fXs7Vei6UlNTlZycrC+//FIpKSmqrKzUnXfeqdLS0gb3+eKLLzRt2jRNnz5d6enpmjRpkiZNmqSsrKwWrNw1NCdf6fK3SP+wd0+ePNlCFbuWiIgIvfTSS9q3b5/27t2rO+64QxMnTtTBgwfrXU/v2sbWfCV6t7n27NmjpUuXKjo6utF19HDzNDVfiR62Vb9+/erktXPnzgbXukz/GjRIklm/fn2ja37961+bfv361dk2ZcoUk5CQYMfK3ENT8v3ss8+MJHPhwoUWqcmd5OfnG0kmNTW1wTWTJ082iYmJdbaNGDHCPPbYY/Yuz+U1Jd8VK1aYwMDAlivKzQQFBZm33nqr3ufo3evXWL70bvMUFxebnj17mpSUFBMfH29mzpzZ4Fp62Ha25EsP22bevHlm4MCBTV7vKv3LGZ3rlJaWpnHjxtXZlpCQoLS0NAdV5J4GDRqk8PBwjR8/Xrt27XJ0OS6hsLBQkhQcHNzgGvq3+ZqSrySVlJSoS5cu6tSp04/+Bh2XVVdXa9WqVSotLVVsbGy9a+jd5mtKvhK92xzJyclKTEy8pjfrQw/bzpZ8JXrYVkeOHFGHDh3UvXt33XfffTp16lSDa12lf70cXYCry83NVWhoaJ1toaGhKioqUnl5ufz8/BxUmXsIDw/XkiVLFBMTo4qKCr311lsaPXq0vvrqKw0ZMsTR5TmtmpoazZo1S6NGjVL//v0bXNdQ//IZqMY1Nd+oqCgtX75c0dHRKiws1Kuvvqq4uDgdPHhQERERLVixa8jMzFRsbKwuXryo1q1ba/369erbt2+9a+ld29mSL71ru1WrVmn//v3as2dPk9bTw7axNV962DYjRozQypUrFRUVpZycHM2fP1+33XabsrKy1KZNm2vWu0r/MujAqUVFRSkqKqr257i4OGVnZ+v111/XO++848DKnFtycrKysrIavb4WzdfUfGNjY+v8xjwuLk59+vTR0qVLtWDBAnuX6XKioqKUkZGhwsJCrV27VklJSUpNTW3wzThsY0u+9K5tTp8+rZkzZyolJYUPvNtBc/Klh21z99131/45OjpaI0aMUJcuXbR69WpNnz7dgZVdHwad6xQWFqa8vLw62/Ly8hQQEMDZHDsZPnw4b+AbMWPGDH300UfasWPHj/7WqqH+DQsLs2eJLs2WfK/m7e2twYMH6+jRo3aqzrX5+PgoMjJSkjR06FDt2bNHixYt0tKlS69ZS+/azpZ8r0bvNm7fvn3Kz8+vc6VBdXW1duzYoTfeeEMVFRXy9PSssw893HTNyfdq9LBt2rZtq169ejWYl6v0L5/RuU6xsbHaunVrnW0pKSmNXveM65ORkaHw8HBHl+F0jDGaMWOG1q9fr23btqlbt24/ug/923TNyfdq1dXVyszMpH+bqKamRhUVFfU+R+9ev8byvRq927ixY8cqMzNTGRkZtY+YmBjdd999ysjIqPdNOD3cdM3J92r0sG1KSkqUnZ3dYF4u07+OvhuCsykuLjbp6ekmPT3dSDKvvfaaSU9PNydPnjTGGDN37lxz//33164/duyY8ff3N3PmzDGHDh0yixcvNp6enmbz5s2OOgSnZmu+r7/+utmwYYM5cuSIyczMNDNnzjQeHh7m008/ddQhOK3HH3/cBAYGmu3bt5ucnJzaR1lZWe2a+++/38ydO7f25127dhkvLy/z6quvmkOHDpl58+YZb29vk5mZ6YhDcGrNyXf+/Plmy5YtJjs72+zbt89MnTrVWK1Wc/DgQUccglObO3euSU1NNcePHzcHDhwwc+fONRaLxXzyySfGGHr3etmaL717/a6+Kxg9fGP9WL70sG2eeuops337dnP8+HGza9cuM27cOBMSEmLy8/ONMa7bvww6V7lyO+OrH0lJScYYY5KSkkx8fPw1+wwaNMj4+PiY7t27mxUrVrR43a7C1nxffvll06NHD2O1Wk1wcLAZPXq02bZtm2OKd3L15SqpTj/Gx8fXZn3F6tWrTa9evYyPj4/p16+f2bhxY8sW7iKak++sWbNM586djY+PjwkNDTX33HOP2b9/f8sX7wIeeugh06VLF+Pj42NuueUWM3bs2No34cbQu9fL1nzp3et39RtxevjG+rF86WHbTJkyxYSHhxsfHx/TsWNHM2XKFHP06NHa5121fy3GGNNy548AAAAAwP74jA4AAAAAt8OgAwAAAMDtMOgAAAAAcDsMOgAAAADcDoMOAAAAALfDoAMAAADA7TDoAAAAAHA7DDoAAAAA3A6DDgAAAAC3w6ADAAAAwO0w6AAAAABwOww6AAAAANzO/wFty55v8TIL4AAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Draw samples\n", "n = 500000\n", "np.random.seed(1239)\n", "t1 = time.time()\n", "x, t = gn.randProcess.acceptRejectSampler(n, xmin, xmax, f, c=c, return_accept_ratio=True, show_progress=False)\n", "t2 = time.time()\n", "print(f'Elapsed time: {t2-t1:.2g} sec')\n", "print(f'Acceptance ratio = {t:.4g}')\n", "\n", "# Plot\n", "plt.figure(figsize=(10, 5))\n", "plt.hist(x, bins=200, density=True, color='lightblue', edgecolor='gray', label='sample (A-R)')\n", "plt.plot(xx, yy, 'r', label='target density')\n", "plt.grid()\n", "plt.title(f'{n} points generated with accept-reject algo (accept ratio = {t:.4g})')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example - 1 variable on an infinite domain\n", "With an infinite domain, the instrumental distribution (`g` and `g_rvs`), and `c` (greater than or equal to the maximum of `f/g`) must be specified." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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a5qCzfX+LvvrwG/rTG4f0/z35rq33BgAAAEaDlILOU089pc9//vM688wzNXfuXK1du1b79u3T1q1bB3zPD37wA/3FX/yF/vVf/1Wnn3667r77bs2fP18PPPBAxoMfaRJn6PRT0SlxOfsEIK8r1vQuFDEVikRtG8d/bT2QePyHbQfU1hWy7d4AAADAaJBRe+nW1lZJUk1NzYDXbNmyRatWrer13NKlS/XYY48N+J5AIKBAIJD4uq2tTZIUCoUUCtnzj3brPnbdT5LaO2NjLnE5e93XZUhv3n5Z/Csz8ZrT6A437f4ulRe7bBnHK3ubE4+jprTtw2ZdeOoYW+6N7MwdFA7mDzLB/EEmmD9I10ibO8mOI+2gE41Gdcstt+jCCy/UWWedNeB1jY2Nqq2t7fVcbW2tGhsbB3zPmjVrdNddd/V5fv369fJ6vekOuV8NDQ223ev1ZkOSU53trUntQzJNyZBTpgw9/lSDKt2Zj8Eflt5rckoyNLMiqt1tDv1uwytq3WUO+V6kxs65g8LD/EEmmD/IBPMH6Ropc8fv9yd1XdpBZ8WKFXrrrbe0efPmdG8xoNWrV/eqArW1tam+vl5LlixRRUWFLZ8RCoXU0NCgK664Qi6XPZWUrtcPSu+9rUl1Y7Vs2YKk3vP/btsgXzCiCz5+iabWZB7iXvnwuMxXX9PkqmJde8FUfevJXery1mnZsnkZ3xsx2Zg7KBzMH2SC+YNMMH+QrpE2d6zVXkNJK+isXLlSjz/+uDZt2qTJkycPem1dXZ2ampp6PdfU1KS6uroB3+PxeOTxePo873K5bP/h2nlPq0u01937nl2hiP7pP2P7mH78dwsSbaWl2H4eXzCisGnYMo4DLbHlc6eML9fsCVWSpI+O+0fEpMw32ZiPKBzMH2SC+YNMMH+QrpEyd5IdQ0rNCEzT1MqVK/Xoo49q48aNmj59+pDvWbx4sTZs2NDruYaGBi1evDiVjx4VOgdoLx01TT2766ie3XVUUbP3EjKrcYHfprN0PmyOlfKmjfFqSrxCtP9Ep6JRlq4BAACgcKQUdFasWKH//M//1Lp161ReXq7GxkY1Njaqs7Mzcc3111+v1atXJ76++eab9dRTT+nee+/Vzp07deedd+q1117TypUr7fsuRggrrBQneY6O1N2KusumoPNRc6zV99QxpZpYVSynw1AwHFVTe5ct9wcAAABGg5SCzo9//GO1trbqkksu0YQJExK/Hn744cQ1+/bt0+HDhxNfX3DBBVq3bp1++tOfau7cufr973+vxx57bNAGBqNVoqKT5Dk6kv2Hhu49FqvoTB/rVZHToUlVJZKkfc3JbdoCAAAA8kFKe3RMc+jlT88991yf56655hpdc801qXzUqNQZ7H/p2mCKbQ46B07EAk19dWzZ2tQxXu077tdHx/1adAotpgEAAFAYUqroYHBpLV2zcY+OPxhWe1dYklRbWSxJmlgZq+g0trJ0DQAAAIWDoGOjdJauWdWfLhsqOkfaug8sLffEinW1FbHudUfYowMAAIACQtCxkbV0rSSdpWs2VHQa22Jhpq6yWIZhSJLGVcQqO03xEAQAAAAUgrQPDEVf3UGn94/V6y7Sh9+5qt/32NmMoCkedMaXd59BVBt/fKSNig4AAAAKBxUdG/njYaUkR13XrKVrdfH9OZI0Pl7ROdJORQcAAACFg6Bjo640uq5Z19qxdM2q6NRWdAed7j06AQ4NBQAAQMEg6NjIH4p1PCs+qaLTFYroy7/eqi//emufpgPFNgadox2xqs24su6la2PLPDIMKRI11ewLZvwZAAAAwGhA0LFRZzAqqW9FJ2qaenJHo57c0ajoSWcR2bl07Xg8yNSUuhPPuZwOVXtjXzf7WL4GAACAwkDQsVFnMFbRSWXpmhV07Ggv3dwRDzpl7l7PV3tdkqTjHVR0AAAAUBgIOjYxTTO9ZgQ2HhhqVXTGlPYOOmNKY0vZjvsJOgAAACgMBB2bBMJRWavSitOo6GS6dM00zcTStDE99uhIUnVprKJzgj06AAAAKBAEHZv0bCbgTaOik2kzgvZAWKFILGmdXNGpiVd0aEYAAACAQkHQsYlVkXE7HSpyJv9jtWuPjrX/xut29un6ZgUfKjoAAAAoFAQdm1hBp9iV2o+02Kala839dFyzVJe6e10DAAAA5LuiXA8gX3QmDgvt+yMtcTn1zjeXJh735LWpGcGJARoR9HzuBM0IAAAAUCAIOjaxKjIl/TQiMAyj3wDU8/pMl661dIYkSZXeQSo6tJcGAABAgWDpmk2siszJ+2OGYlV4QhFToUg07c9vtYJOiavPa1Xx59ri1wAAAAD5jqBjk+6la32DTiAc0T//7g398+/eUCDcu3LTMxhlUtXpDjp9K0dW+Gkl6AAAAKBAEHRs0hkKS+r/sNBI1NR/bTug/9p2QJGo2es1T5FDhhG/Rwb7dNoGqehUxJ/zBSMKZ1A1AgAAAEYLgo5NOoOxANHfHp3BGIaROHcnk4YEgy1dqyjurvK0dYXT/gwAAABgtCDo2CTRjCDFPTpSj4YE4cyDTkVx36BT5HSoNP4ZLF8DAABAISDo2KQzGKuU9LdHZyiJs3SyVNHp+TwNCQAAAFAICDo26T4wNI2Kjg2Hhg4VdCpoSAAAAIACQtCxibW/JtU9Oj3fY0fXtYohgk5bF0EHAAAA+Y+gYxMrpHjTqOh0L13Lzjk6PZ+nogMAAIBC0PfQFaRlsIpOicuprd+4PPH4ZNa+nnSXrnWFIgqGYyGp0jtARaeYoAMAAIDCQdCxSecgQccwDI0p8wz43sQenWB6rZ+t8OIwpDJ3/3+k3c0IaC8NAACA/MfSNZtk1F46w2YEPffnOBxGv9ewdA0AAACFhIqOTayKTn/tpQPhiL71+LuSpG988nR5inpfU+zObI/OUPtzJKmiJPZHTXtpAAAAFAIqOjYZrL10JGrqVy99pF+99JEiUbPP6xlXdPxDB51Kuq4BAACggBB0bJLYo5PB0rV020snVdGhGQEAAAAKCEHHJlY1xjtAM4DBlCSWrmW+R2cgVjc2lq4BAACgEBB0bNLdXjr1H6ldzQiSWbpGRQcAAACFgKBjk0TXtUwqOsOwdK2tKyzT7LtPCAAAAMgnBB0bRKJm4sDOXOzRaUuhohOJmvKluUQOAAAAGC0IOjboWYnpr730UKxObf40A4jVSW2woFPscsjljJ2xw/I1AAAA5DvO0bFBzyYCnqK+2bG4yKn/ufXSxOOTZdqMoK0rLKl7eVp/DMNQZYlLxzqCavWHNKmqJK3PAgAAAEYDgo4NeraWNgyjz+sOh6H6Gu+A78906VpHPOiUFQ/+x1lRHAs6nKUDAACAfMfSNRt0t5ZOfdmalHnXtY5APOh4Bg865fEg5ItfDwAAAOQrKjo28AdjwaF4gEYEwXBU31u/S5L0L0tmyX3S8jarJXW6Qac9XqGpGKKiUxoPQh0EHQAAAOQ5Kjo2GKqiE45G9dNNH+inmz5QOBrt87rVkjqdPTqmaXZXdIYIOlbFp72LoAMAAID8RtCxQVfiDJ3Mlq4FwlFFo6mdcRMIRxWKxN4z1NI1KwhR0QEAAEC+I+jYwN+jGUE6er6vK5xaVadnaCkd4rDScg97dAAAAFAYCDo2SHRdS7Oi07MldarL1xId1zxFcjj6dnzrqZSlawAAACgQBB0bWHt00q3oOByGil2xP4pUDw1NtuOaxNI1AAAAFA6Cjg0yrehI6Z+lY52JUz5EIwKpe+laBxUdAAAA5DmCjg0y3aPT872ptphO9rDQntf4ggQdAAAA5DfO0bFB1xDtpYuLnFr/1Y8nHvd7Tfy9Ke/RSWHpmtWsgD06AAAAyHcEHRsMtUfH4TB0Wm35oPewQlLKFZ140Elm6Rp7dAAAAFAoWLpmg8TStSHaOw8m3T067V3JV3TKPS5J7NEBAABA/qOiY4Puik7/uTEYjurBZ/dIklZcOkPuor7XFae5R6c76LiGvDaxR4eKDgAAAPIcQccGQ3VdC0ej+sGG3ZKkf7j4FLn7KaQlmhEEoyl9dkcg+a5rpZ7YZ3QEw4pGzSHP3QEAAABGK5au2aDTjqVr8ZDkT7EjmrUMLbn20rGqj2lK/hQrRwAAAMBoQtCxgT/DA0N7vjfVPTqpdF0rdjnkjFdx2KcDAACAfJZy0Nm0aZOuvvpqTZw4UYZh6LHHHhv0+ueee06GYfT51djYmO6YR5yu4ODtpZOR8R6dJCo6hmEkAhGd1wAAAJDPUg46Pp9Pc+fO1YMPPpjS+3bt2qXDhw8nfo0fPz7Vjx6xrHBSnEFFJ9FeOsU9Oql0Xet5HUEHAAAA+SzlTSVXXnmlrrzyypQ/aPz48aqqqkr5faOB34aKTkmaFZ1UztGRegQdlq4BAAAgjw1b17VzzjlHgUBAZ511lu68805deOGFA14bCAQUCAQSX7e1tUmSQqGQQqGQLeOx7mPH/TpDsdDgMsx+7xcKhXs8DilkmH2usTKSP5Da99jeFbu2xGkk9T6r81qrv8u2n2WhsXPuoPAwf5AJ5g8ywfxBukba3El2HIZpmn3/1Z0kwzD06KOPavny5QNes2vXLj333HM699xzFQgE9LOf/Uy/+tWv9PLLL2v+/Pn9vufOO+/UXXfd1ef5devWyev1pjvcrDBN6asvOWXK0DcXhFXp7ntN1JT2+2KP60ul/ro6b2409Mhep+bURPXFWckvX1v1klMR09Cd88Oq9gx9/UPvOvRui0OfPTWihePT/qMHAAAAcsLv9+szn/mMWltbVVFRMeB1Wa/ozJo1S7NmzUp8fcEFF+j999/Xfffdp1/96lf9vmf16tVatWpV4uu2tjbV19dryZIlg34zqQiFQmpoaNAVV1whl2vowzYHEghHZb70jCTpk39xhcqL07tX4PVDemTvW6oaM07Lli1I+rMjW2Kf/akrk/vsp9vf0LstTTpl9pladv6UtMZa6OyaOyhMzB9kgvmDTDB/kK6RNnes1V5DycmBoQsXLtTmzZsHfN3j8cjj6VuecLlctv9wM72nLxRMPC73FsvlTK9jd1lJrBTUFTaTHk9bj+V9laUlidbRgykvjn1OZyg6IibqaJaN+YjCwfxBJpg/yATzB+kaKXMn2THkJOhs375dEyZMyMVH285qHuByGgOGnGA4ql+8sFeSdOOF0+Uu6ntdohlBMPlmBFbHtVK3M6mQI3W3oe4IcGAoAAAA8lfKQaejo0N79uxJfL13715t375dNTU1mjJlilavXq2DBw/ql7/8pSTp/vvv1/Tp03XmmWeqq6tLP/vZz7Rx40atX7/evu8ih6yOa4O1lg5Ho1rz552SpM8tnip3P1290zlHJ3FYaJId16Se7aVHxmYyAAAAIBtSDjqvvfaaLr300sTX1l6aG264QWvXrtXhw4e1b9++xOvBYFD//M//rIMHD8rr9WrOnDl65plnet1jNLMqMKXuzIpj3efopF7RSWVfkNWGmvbSAAAAyGcp/+v8kksu0WCN2tauXdvr61tvvVW33nprygMbLayqiteT/hk6klQSDzpd6VR0kjwsVJJKOTAUAAAABSC9nfNI8AdTDxv9SefAUGv5WbKHhUo9l64RdAAAAJC/CDoZ8sU39VtLz9LVc49OskcbWUvXUglZ3c0ICDoAAADIXwSdDPkCVuezDCs68aBkmrHzcZKRTtAp97BHBwAAAPmPoJMhn9WMIMOla8U9Wk4nu08nna5r7NEBAABAIcjJOTr5xG9VdAZpRuApcuo3N52feNyfIqdDbqdDwUhUnaGIqpL47I40uq6xRwcAAACFgKCToY7g0EvXnA5Di08dM+S9StxOBTujibN5hvzseFgpT2XpWrz60xWKKhSJDnjIKQAAADCa8a/cDPmtZgQZLl2TenReSzLoJPbopLF0TereXwQAAADkG4JOhrqbEQy8dC0UieqXWz7UL7d8qFBk4EYDqZ6l094Vay+dSjMCl9OhYlfsj53lawAAAMhXLF3LkM9aujZI2AhForr9j29Lkv5mweQBl4tZLaZTXbqWSkVHigWjrlCQoAMAAIC8RUUnQ/5E17XMztGRuqtC2dyjI/VoSECLaQAAAOQpgk6GrLDhzfAcHal7n48/mFwASafrmtRdAWqnogMAAIA8RdDJkNWMIJV9MgPxxpeu+ZJtRpDB0jWJig4AAADyF0EnQ9YeHe8gzQiS5fVYXdeGDiCBcETBcKyxQaohy7qermsAAADIVwSdDFlhwY6KjnUWjy8wdEWnZzUm3aBDMwIAAADkK4JOhqxlZnaco2NVdJLZo9O9N8gpp8NI6XNKCToAAADIc7SXzkAoEk0sHxvsHB2306Gff/7cxOOBeF3xik4Se3QSh4WmEbCsPT3s0QEAAEC+IuhkwN9jidlgXdeKnA59YnbtkPcrTezRSWLpmtVaOsVGBFJ3O2oqOgAAAMhXLF3LgNWIwO10yF2U+Y/S606+SUCiopNia2mJpWsAAADIf1R0MmDtpfEOcVhoKBLVY68flCQtnzdJrgGWr5V6kj8wtCMQkpT6YaESzQgAAACQ/wg6GeiIL10rHeKw0FAkqn/9/ZuSpKvmTBgw6JQkztFJohlBJnt0OEcHAAAAeY6laxnwxysipUNUdJJlLSlLZo9OuoeF9nwPFR0AAADkK4JOBqzuaKU2tJaWug8dHbaKDkEHAAAAeYqgkwGracBQS9eSZQUmfxIHhlrNCCrSqeh4km96AAAAAIxGBJ0MWJUX7yBn6KQilT067V3xZgRpdF3ruXTNNM2U3w8AAACMdASdDFiVl3SWj/XHquh0haKKRAcPIN3tpVP/bOtzQhFTgfiBpwAAAEA+IehkwNrjMlR76WT1rAx1hgZfvmYFnXQODO251M6u5WutnSE9+voBtfpDttwPAAAAyATtpTNgnaMz1B4dt9OhBz8zP/F4IJ4ih5wOQ5GoKX8gPGilqC2DpWtOh6FSt1O+YEQdgbDGlHlSvkdPXaGIPvuzl/TWwTZNqirRn77yMdWUujO6JwAAAJAJKjoZaE+y81mR06Gr5kzQVXMmqGiQoGMYhryJfTqDV3SsalI6FR2pe/lauw1n6fz39kN662CbJOlgS6d+99r+jO8JAAAAZIKgk4FE57OS1KsqA7GWwQ21pCyTrmtS994eO5au/fcbhyRJU2q8kqTfvUrQAQAAQG4RdDLQvXxs8LARjkT1xJuH9cSbhxWODL7531oGN9geHdM0e1R00gtZ5TadpeMPhrXlg2ZJ0r9/dr4chvTBMZ8aW7syui8AAACQCYJOBtq6kgsbwUhUK9Zt04p12xQcIugkU9HxByOJrmyZLl3LNOjsONCqSNRUXUWxzppUqTMmVkiSXvnweEb3BQAAADJB0MmAdZZNusvH+uN1xQ8NHWSPjrVszekwEmfvpKrMpqDz+v4WSdK8KVWSpPOm1UiSXiPoAAAAIIcIOhlo68xs+Vh/kqnoWAGrzFMkwzDS+pxE0MmwGcEb8aBzTn2VJGnu5NjvOw+3Z3RfAAAAIBMEnQwkKjol9lV0ktmj05bBGToWu5oRvNcUCzSnT4gtWZtZWyZJ2tXULtMc/NBTAAAAIFsIOmkKhCMKhGP7bWyt6Litis7AQSfTRgRSd0WnPYOgEwxH9VGzX1J3wDl1XJkcRuwA0aPtgbTvDQAAAGSCoJOmnufPDHWOTiqsoGMdRtr/ZyfX7W0wpTYsXfuo2adw1FSZp0h1FcWSpGKXU9PGlEqKVXUAAACAXCDopMkKOuWeIjkd6e2T6Y/XYy0pG7oZQSZNEKyQ5BskUA1lz5EOSdKp48t67RU6ZVysuvPhMV/a9wYAAAAyYV8posC0dSZfVXE5Hbrnb+YkHg+mNF7R6QwlU9FJf+matReoPZOKzvHYsrXpY7y9np8a/9pa1gYAAAAMN4JOmtqTPENHioWba86tT+q+XrfV9nnoik6umxEcOBELMpOrBwg6xwk6AAAAyA2WrqXphD8oSary2teIQJJKk2ovHXstk71B5Taco3PwRKckaVJ1Sa/n62tiQWcfFR0AAADkCBWdNLXEg0611z3kteFIVJt2H5UkfXzmOBUNsnytIl4hspan9SeVatJA7GhGcLAlHnSqegedqVbQOe6XaZppn/UDAAAApIuKTppO+GNBpLp06LARjET1hbWv6QtrX1MwEh302vJE0Mlu1zVr6Vq6FR3TNAes6FhL2TpDETX7gmmPEQAAAEgXQSdNx33W0rWhKzqpsMKL1eygP7bs0emxdC2dgz1bO0PyBWP7iE6u6LiLHBpbFvu5NLZ2pT1GAAAAIF0EnTR1L12zd4+OFV4GregEYiGowoYDQ6NmrPKSqgPxas7YMreKXc4+r9dVxs7VaWoj6AAAAGD4EXTSZC1ds7+iEwsvHcGwotH+Ky12VHS8bqesrTPpLF8baH+Opa4i9vxhKjoAAADIAYJOmqyKTk2Wlq6ZZizs9MeOZgSGYajMnX5DAquic3JraUtdpUcSS9cAAACQGwSdNKXSjCAVxS6n3EWxP5b+lq+ZppnSYaWDyaQhwUCNCCwTKmPPN7J0DQAAADlA0ElT9zk69lZ0JKlikIYEvmBE4fiStmRaWw+mNIOzdA62xM7IGXjpWmyPDhUdAAAA5ALn6KShKxRJVFvGlA4dNlxOh775l2cmHg+lvNilYx3Bfis61pI5T5FDJe6+TQBSUZbBWTqHWmIBZuIAQWdCvBnB4dbONEcHAAAApI+gk4aj7QFJsbBRWTL00jWX06HrF09L+v7dndf6VnRaEk0QMl8yZ32Ob4C9QIM50h4LOlbl5mS1ia5rgTRHBwAAAKSPpWtpsFom11YUy7Bal9moYpBDQxNBpyTzJXOlaTYjiERNHeuIVZbGV3j6vcYKQB2BcL+BDQAAAMgmgk4arA32A1UzThaJmtryfrO2vN+syAAto3tKHBraX0Wn09oblHlFx2pG0J7iHp0T/qAiUVOGMfDSvVJPUWKvEft0AAAAMNwIOmmwlmMNVM04WSAc0XX/8ZKu+4+XFAgPfTjnYIeG2rl0zdqj40sx6ByJf/9jSt0qGmTPkXVoKJ3XAAAAMNxSDjqbNm3S1VdfrYkTJ8owDD322GNDvue5557T/Pnz5fF4NGPGDK1duzaNoY4cR3osXcsG63ycfis6Vrc3G5aupduM4GhHLOiMLRs86NVVcmgoAAAAciPloOPz+TR37lw9+OCDSV2/d+9eXXXVVbr00ku1fft23XLLLfrSl76kp59+OuXBjhSpLl1L1bBVdNJcumYFvfFDfP918YpXE0EHAAAAwyzlrmtXXnmlrrzyyqSvf+ihhzR9+nTde++9kqTTTz9dmzdv1n333aelS5em+vEjwgdHfZKk+pr+WytnatBmBJ1W0LGhGUGaS9esis64ISo6VsXnWAed1wAAADC8st5eesuWLbr88st7Pbd06VLdcsstA74nEAgoEOj+x3FbW5skKRQKKRSyp4OXdZ9U7xeJmtp9pF2SdOrYkqTeHwqFezwOKWQM3pDA64p1cmv1B/rc/3g8NJR7HBn/LEqKYp/T3pnaz7WxJXY2zthS16Dvq/bGpteRti7b/txGgnTnDiAxf5AZ5g8ywfxBukba3El2HFkPOo2Njaqtre31XG1trdra2tTZ2amSkr5VkTVr1uiuu+7q8/z69evl9XptHV9DQ0NK1x/plLpCRXI5TL310vN6J4nu0oGIZP2on356vTxDnPP5XrMhyal9h4/pySef7PXa3kNOSYbef3eHnjzyZkpjP9mu47HPOXikuc/nDGbHbockh47s36Mnn9w94HUHjsXu/96+Rj355MGMxjoSpTp3gJ6YP8gE8weZYP4gXSNl7vj9/qSuG5EHhq5evVqrVq1KfN3W1qb6+notWbJEFRUVtnxGKBRSQ0ODrrjiCrlcye93efzNw9L2HZpVV6lPXnV+Uu/xB8O69ZWNkqSlS5fI6x78x179QbN+/t5WFZWUadmyC3u99sM9L0jtPl32sUVaNL0m6XH3Z8ze4/qPXa/JWdz3cwbzq0OvSM0tumThPC07u27A62o+OK7/u/s1mZ5SLVv2sYzGOpKkO3cAifmDzDB/kAnmD9I10uaOtdprKFkPOnV1dWpqaur1XFNTkyoqKvqt5kiSx+ORx9N3/4fL5bL9h5vKPYPhqB58fq8k6YIZY5N+X4nh1OorZ8ceezxyFQ3eA6K6NPZz6QhE+nxGa2dsGdyY8pKMfxZVpbFmAr5gOKV7Nfti5cK6Ku+g75tQHau+HesIjoj/KOyWjfmIwsH8QSaYP8gE8wfpGilzJ9kxZD3oLF68uM+yqIaGBi1evDjbH227bftO6MNjPo0pdWvFJTOSfp+7yKF/uPjUpK/v7rrWe/2haZrd7aVt6LrW3Yxg6LN9ekq265rVjKCtK6xAOCJP0RBr9gAAAACbpBx0Ojo6tGfPnsTXe/fu1fbt21VTU6MpU6Zo9erVOnjwoH75y19Kkv7xH/9RDzzwgG699VZ94Qtf0MaNG/W73/1OTzzxhH3fxTA5/5QxeuqWi3SwpUuVNgSNgVSUxO7tC0YUjkQTh3L6ghGFo7FGBraeoxMIKxo15XAMveHIFwjLF4wFo3Hlg3ddqyxxyeU0FIqYau4IamJVdrrUAQAAACdL+Ryd1157TfPmzdO8efMkSatWrdK8efN0++23S5IOHz6sffv2Ja6fPn26nnjiCTU0NGju3Lm699579bOf/WzUtpaeMb5cF582LqX3RKKm3tjfojf2tygSHbzjmtRd0ZF6t5i2qjmeIodK3JlXR3p+ji+YXIvpo+2xrm9etzMRlAZiGIbGlNJiGgAAAMMv5YrOJZdcItMc+B/ra9eu7fc9r7/+eqoflTcC4Yj+8sEXJEnvfHPpkM0IXE6HyjxF6giEdcIfVHVprHpj52GhUiwwOR2GIlFTvkBE5cVD3/dIPOgMVc2xjC13q7Gti6ADAACAYZVyRQfDoyYebo77gonnEkHHhmVrUqziYlVlTt4PNBCrojM+2aBjHRraHhziSgAAAMA+BJ0Rqrq/oNMZe2zn/qBE44NAckvXjrTHGhEkXdGJB52jVHQAAAAwjAg6I9SYfoLOsXg1ZWyZPRUdSaqIL1dr7Uy1ojN4xzWLFYis9wEAAADDgaAzQllL15p7BB2rKjKuLLlqSjIq4x3e2pIMOinv0SmjGQEAAACGH0FnhOqvopOopgxxfk0qKkpiS9eSDTpHUw46se+DoAMAAIDhRNAZofprRpAIGdmo6HQlu0cntaAzLlHRoRkBAAAAhk/K7aWRuiKHQzdfNjPxOBn9LV1LNWQkI909OsmGrbHxsTZT0QEAAMAwIugMA3eRQ1+94rSU3jPGWvLVYxN/qsvGkpHKHp1I1NRxn7V8LrkxWEvwTvhDCkeiKnJSRAQAAED28a/OEaquokSS1NQWa+cciZqJ6o6tFZ2S5Cs6zb6AoqbkMKQxpcmNocrrlmHEHp/wJ1c1AgAAADJF0BkG0aip95ra9V5Tu6JRM6n3TKiMNRxo9gXVFYroWEdAkagZDxn2tZfu3qMzdAixKko1pR45HUZS93c6DNV4rWV4LF8DAADA8CDoDIOucERL7tukJfdtUlc4ktR7qrwuFbtifzxNbV3af9wvSZpQWWLr8i+r61oyFR2roUCqFSVrGV4zDQkAAAAwTAg6I5RhGJpYGVu+dqilS/tPxIJOfU2JrZ/TvUdn6K5rR9M8sNRa5kaLaQAAAAwXgs4IVhdfvtbY1qn9xzslSfXVXls/w+q6lsrSNSo6AAAAGOkIOiPYhHhF5+CJzsTStfoae4NOz65rQ+0fSjfojI23omaPDgAAAIYLQWcEO2VcqSTpvaYOfRQPOpOr7V26ZnVdi5qSLzj48rWjHekdWJo4E4iKDgAAAIYJQWcEO2NChSTp7UOteudQmyRpVl25rZ9R7HLKXRSbBkM1JDiW6dI1H0EHAAAAw4OgM4LNnhALNe8f9akjEFaJy6lZtfYGHanHPp0hGhIkKjqpBp14M4JmmhEAAABgmBTlegCFoMjh0N9//JTE42TVVRSr2utKHLR59qRKW1tLWypLinSsIzBkRcfaozM+5T06VHQAAAAwvAg6w8Bd5NDXl52e8vsMw9Cn5k7U/93ykSTp4lnj7B6apO59OoN1XguEI4kgNDbFPTpjrGYE7NEBAADAMGHp2gj3j5ecqppSt86dWq0vXTQ9K59hdV4brKJjHRbqchqJ65Nl7dHpCITVFUruwFQAAAAgE1R0hkE0aupgS+wcnElVJXI4jKTfO6GyRC9//TI5DEPOFN6Xiu49OgMHnURr6TKPDCO1cZR7iuRyGgpFTDX7gppUZW/nOAAAAOBkVHSGQVc4oou++6wu+u6z6gqnXtFwOR1ZCzlS77N0BpJuxzUptgTPakhwnOVrAAAAGAYEHaiiJFbYG2zpWrod1yzW8rVjHBoKAACAYUDQgaq9sRDSkszStbSDDg0JAAAAMHwIOkgEneODtH+2gk6qHdcsY0vjLaY5SwcAAADDgKAD1cRDyAn/0EEn06VrnKUDAACA4UDQgarjQWewRgHHOrq7rqWjJt6M4BgVHQAAAAwDgg5UYy1dG6yiY1MzAvboAAAAYDhwjs4wcDoMfe78qYnHI011aay9dFcoqs5gRCVuZ59rMl26NrZs6H1AAAAAgF0IOsPAU+TU3cvPyvUwBlTW40DP4/6gJrl7H+jZEQjLH4yd/5NuMwLrHB2aEQAAAGA4sHQNMgwj0XntRD8Vl8MtnZKkiuIilXrSy8bd5+gEZZpmmiMFAAAAkkPQGQamaaq5I6DmjsCI/Ue+1Xmtv65oh1q7JEkTq0r6vJYsq6ITDEfVEQinfR8AAAAgGQSdYdAZimjBt57Rgm89o85QJNfD6dfYsoGXllkVnQmVxWnfv8TtlDe+94eGBAAAAMg2gg4kdTcZsJoO9GRVdCZkUNGRep6lwz4dAAAAZBdBB5IGDzpWRWdiBhUdqWdDAio6AAAAyC6CDiR1HwR6tL+la1ZFpzKzis7YsoH3AQEAAAB2IuhA0lBL1+J7dKrsquiwdA0AAADZRdCBpIGDjmmaOtwS77qWYUUn0WKapWsAAADIMoIOJPUIOidVW1o7Q4lOcXUZ7tEZrIU1AAAAYKf0Tn9ESpwOQ5+ePznxeCSy9ui0+EPqCkVU7Iq1gj4Ur+aMKXUnnkvXYC2sAQAAADsRdIaBp8ipe/92bq6HMagqr0slLqc6QxEdbu3S9LGlkqTDNu3PkbqXrh23qaLTGYyoyGnI5aQwCQAAgN74FyIkSYZhaFJ1bA/OwROdiecP2dRxTepuRmDHHp37Gt7TWXc+rQV3N2jjzqaM7wcAAID8QtAZBqZpyh8Myx8MyzTNXA9nQBPjB4IeaukOOh8d80mS6qu9Gd9/bKKiE1A0mv7P4em3G/WDDbsViZpq6wrry7/epoM9xgwAAAAQdIZBZyiiM25/Wmfc/nRiY/9INCkedHqGhr3xoDN9XGnG96+ONyOImlJLZyite5imqe8+tVOS9IULp2v+lCp1haL692f3ZDw+AAAA5A+CDhImxffh9Ao6zbGgc8rYzIOOy+lQldclKf2GBFs+aNb7R30qdTv11Stm6l+XzpYkPfr6QfmD4YzHCAAAgPxA0EFCfU1sedpH8XATjkS1r9kvSZpmQ9CRultMp7tP509vHJIkfeqcSSovdun8U2o0dYxX/mBEDe+wVwcAAAAxBB0knDquTJK0+0iHTNPUvuN+haOmPEUOTajIvOuaJI2NNyRo9qVe0YlEzUSYWXZ2naRYE4Wr50yUJK1/m6ADAACAGIIOEk4dVybDiJ2l0+wL6u1DbZKk2XXlcth0/s/Y8lhF52h76kFnx8FWHesIqtxTpEXTxySev3T2eEnS5j3HFI5EbRknAAAARjeCDhJK3M5Ed7XdTR1661CrJOmsSZW2fcb48lhl6EgaQefF949JkhafOkbuou6pO3dypSqKi9TaGdKOg632DBQAAACjGkEHvZxWG1u+9vahVr0VDw1n2xl0KmJL1460pR50trzfLCkWdHoqcjq0cHqNJGnrRycyHCEAAADyAUFnGDgMQ8vOrtOys+vkMOxZApYtVmBoeKcpERrm1lfZdv/aREWnK6X3RaOmXt/XIkm9lq1Z5k2pliS9vr8lo/EBAAAgPxTlegCFoNjl1L9/dkGuh5GUi2aOk7RTL+89LkmaXF2i2XXltt3fqug0taUWdD5s9qkjEJanyJGoOvU0b0qVJGl7PAwBAACgsFHRQS+z68o1dYw38fVVcybIsLEKVVuR3h6dt+KNEU6fUKEiZ99pO3dylRxG7AygVEMUAAAA8g9BB70YhqHv/+05qigu0vmn1GjFpTNsvf/48lhFp8UfUlcokvT73j5oNUao6Pf1Uk+RZtXFXnt9H/t0AAAACl1aQefBBx/UtGnTVFxcrEWLFumVV14Z8Nq1a9fKMIxev4qL7TmTZbTwB8Oa9rUnNO1rT8gfDOd6OENaMLVar37jcv327xerothl670rS1yJjmmptJjekURjBGv52jaWrwEAABS8lIPOww8/rFWrVumOO+7Qtm3bNHfuXC1dulRHjhwZ8D0VFRU6fPhw4tdHH32U0aCRfZ4iZ1buaxiGaq3Oa0k2JDBNM9EB7syJAwedcyZXSVLiWgAAABSulJsRfP/739dNN92kG2+8UZL00EMP6YknntDPf/5zfe1rX+v3PYZhqK6uLunPCAQCCgS6/29/W1tsf0YoFFIoFEp1yP2y7mPX/Qb/rHCPxyGFDDPrnzmSjSvzaP/xTh087tOciUM3Oth/wq+2rrBcTkPTa4oH/DObOS62t+jdw20KBoO27i3qaTjnDvIP8weZYP4gE8wfpGukzZ1kx5FS0AkGg9q6datWr16deM7hcOjyyy/Xli1bBnxfR0eHpk6dqmg0qvnz5+vb3/62zjzzzAGvX7Nmje66664+z69fv15er7efd6SvoaHB1vv1JxCRrB/100+vlyc7xZJRI9rhkOTQ8y+/LnPf0KFve7Mhyana4qieWf/UgNeFopIhp074Q/rtH/+sSrd9Y+7PcMwd5C/mDzLB/EEmmD9I10iZO36/P6nrUgo6x44dUyQSUW1tba/na2trtXPnzn7fM2vWLP385z/XnDlz1Nraqu9973u64IIL9Pbbb2vy5Mn9vmf16tVatWpV4uu2tjbV19dryZIlqqjofzN6qkKhkBoaGnTFFVfI5bJ3H8rJ/MGwbn1loyRp6dIl8roLu6v3VnOntr+0T2PrZ2jZkplDXr+zYbf03l5dMHuyli0bOCBL0o8/eEHvH/Vp4hnn6eLTxtk15F6Gc+4g/zB/kAnmDzLB/EG6RtrcsVZ7DSXr/+JevHixFi9enPj6ggsu0Omnn66f/OQnuvvuu/t9j8fjkcfj6fO8y+Wy/YebjXv2+QyzewlV7PMKO+jUVZVIko76gkn97N9p7JAknV1fPeT1Z0ys1PtHfdp9tFOXn5nlP9dhmDvIX8wfZIL5g0wwf5CukTJ3kh1DSs0Ixo4dK6fTqaampl7PNzU1Jb0Hx+Vyad68edqzZ08qH408Ulse67qXTNe1no0IBuu4ZrEON333cHJJHwAAAPkppaDjdru1YMECbdiwIfFcNBrVhg0belVtBhOJRLRjxw5NmDAhtZGOYg7D0KWzxunSWePkyNIG+dGkrjIWdA61dA55bWNbl5p9QTkdRiLEDOaMCbGljTsbCToAAACFLOU1VKtWrdINN9ygc889VwsXLtT9998vn8+X6MJ2/fXXa9KkSVqzZo0k6Zvf/KbOP/98zZgxQy0tLbrnnnv00Ucf6Utf+pK938kIVuxy6hc3Lsz1MEaMydWxpWsHWzplmuag3dHeOhgLLDPHl6nYNXQXh9PjQef9oz51hSJJvQcAAAD5J+Wgc+211+ro0aO6/fbb1djYqHPOOUdPPfVUokHBvn375HB0F4pOnDihm266SY2NjaqurtaCBQv04osv6owzzrDvu8CoMqGyRIYhdYWiOtYR1LjyvvuxLMmcn9NTbYVHlSUutXaG9MFRn86YaE/zCgAAAIwuae2KX7lypVauXNnva88991yvr++77z7dd9996XwM8pS7yKEJFcU61Nql/Sf8gwadtw/Fgs5Zk5ILLIZhaFZtuV758Ljea2on6AAAABSolPboID3+YFin3/aUTr/tKfmD4aHfUAAmV8fOQzpwYvB9OtbStWQaEVhOqyuTJO1qak9zdAAAABjtCDrDpDMUUWcokuthjBiTa2L7dPYfH/jAp6PtATW2dckwuvfeJOO02ljTgt0EHQAAgIJF0EFOJFPReSu+bO2UsaUq9SS/ytIKOlR0AAAAChdBBzlRH++8duDEwBWdtw9a+3OSX7YmdQed/cc75QuwVBAAAKAQEXSQE1ZFZ7Cla9b+nLOS7LhmqSl1a2xZrMHB7iMdaY4QAAAAoxlBBzlRX9N9lk40avZ7jbV07cwkO671NCvekOA9lq8BAAAUJIIOcqKuolhOh6FQxFRTe1ef11v8wcT+nWTP0OnJWr72XiNBBwAAoBARdIaBwzC0aHqNFk2vkcMwcj2cEaHI6dCkqlhV58NjfZevvb6/RZI0fWypKktcKd+fhgQAAACFLa0DQ5GaYpdTD//D4lwPY8SZMb5M+477tedIuxafOqbXa6/va5EkzZtSlda9u1tMs0cHAACgEFHRQc7MrI3to+mvYcDr+05IkuZNqU7r3qfF793Y1qVWfyjNEQIAAGC0IuggZ04bH99Hc9LysmjU1HarolNflda9y4tdiaVx7x1h+RoAAEChIegMA38wrPl3N2j+3Q3yBznXxWJVdHY1tss0uzuv7TnaofZAWCUup2bXlWd8fzqvAQAAFB6CzjA57gvquC+Y62GMKKfVlsvlNHTCH0p0WJO6l63NmVypImf6U3QWndcAAAAKFkEHOVPscuqMCbEzcrbHu6xJ0ksfHJckLZia3v4cC53XAAAAChdBBzk1N74HZ1u8ihONmtr03lFJ0sdPG5fRvRNn6dB5DQAAoOAQdJBTC6fXSFIi3LxxoEXNvqDKPEUZV3RmjC+TYcSWDR7rCGQ8VgAAAIweBB3k1EUzx6nIYej9oz7tPebTH7YdlCRddvp4uTLYnyNJJW6nptZ4JbFPBwAAoNAQdJBTlSWuxGGh33t6lx57PRZ0/mbBZFvuzz4dAACAwkTQGQYOw9CcyZWaM7lSDsPI9XBGnL//+CmSpCd2HFZ7IKyzJ1XqwlPH2nJv9ukAAAAUpqJcD6AQFLuc+u+VH8v1MEasj80Yq787f4r+86V9Gl/u0b99eo4cDnsC4Wl1/R9KCgAAgPxG0EHOGYahby0/W1/62CmqqyxWsctp2717nqVjmqYMKmoAAAAFgaVrGDGmjS21NeRI0vSxpSpyGGoPhHW4tcvWewMAAGDkIugMg85gRBd+Z6Mu/M5GdQYjuR5OQXEXOTR9bKkkaVeGndeO+4La1+xXNGraMTQAAABkEUvXhoEpUwdbOhOPMbzOmlSp3Uc69OaBVl06e3zK72/rCun2x97SH984JNOUpo3x6lN1WRgoAAAAbENFB3lv7uRKSbHDSFPVGYzo+v/zih7bHgs5RQ5DHzb79eA7Tr2897jNIwUAAIBdCDrIe3PrqyRJb+xvkWmmVlH77tM7tX1/i6q8Lv3hyxdo+x1LdNnscYqYhm5++E0d6whkYcQAAADIFEEHee/0CRVyOQ01+4I6cKIz6fe9sve41r74oSTpvmvP0fwp1SrzFOn+v52jCSWmmn1B3fPUriyNGgAAAJkg6CDvFbucml1XISn55Wumaeqbj78t05SuWTBZl87q3ttT7HLq2lNjTSUe2bpfuzmjBwAAYMQh6KAgzK2P79PZ35LU9RvePaK3DrbJ63bqa1fO7vP69HJpyRnjFTWlf6OqAwAAMOIQdIaBIUMzx5dp5vgyGeLAylw4p75akvTqhyeGvNY0Td2/4T1J0vWLp2lMmaff6/758pkyDOmZd5u05whVHQAAgJGEoDMMStxONay6WA2rLlaJ294DMZGcC04dI0l680CLWv2hQa/duLO7mnPTRdMHvO6UcaVackatJOn/bN5r32ABAACQMYIOCsLEqhKdOq5UUVPa8sGxAa8zTVM/2LBb0uDVHMsXP3aKJOm/th1UMx3YAAAARgyCDgrGRTPHSZI27R446PzP7mN680Cril2OQas5lvOmVWvO5EoFw1H99tX9to0VAAAAmSHoDIPOYERXfP95XfH959UZjOR6OAXropljJUmbBwk6Dzy7R5L0mYVTh6zmSJJhGLp+8TRJ0q9f+kjhSDTzgQIAACBjBJ1hYMrU7iMd2n2kQ6ZSO7AS9jn/lDFyOQ3tO+7vt3nAqx8e1yt7j8vlNPT3Hz8l6ft+cs4EVXtdOtTapQ07j9g5ZAAAAKSJoIOCUeop0sfjy9ceff1gn9d/tDFWzfmbBZNVV1mc9H2LXU797Xn1kqRfbfnIhpECAAAgUwQdFJTl8yZJkh557YAC4e5lhM+806RN7x1VkcPQP158asr3/btFU2UY0uY9x/T+0Q7bxgsAAID0EHRQUJacWavaCo+OtAf0u9cOSIrtobrzT29Lkr540XRNHVOa8n3ra7y6bPZ4SVR1AAAARgKCDgqKp8iZqNh896mdeuadJq1ct00HTnRqYmWx/vcnZqZ978/FmxL819YD8gXCdgwXAAAAaSLooOB87vypmj+lSu1dYX3pl69pw84jcjsduv9/zVOppyjt+140Y6ymjfGqPRDWY9v77gECAADA8CHoDANDhiZVlWhSVYkMGbkeTsErcjr0ixsX6pNzJqjMU6Q5kyv165sWaeH0mozu63AY+rvzp0qKLV8zTTrsAQAA5Er6//saSStxO/XC1z6R62Ggh8oSlx74zHzb73vNgnp9b/0u7Wxs16sfnsg4PAEAACA9VHQAG1V6XVp+Tqyz2y+3fJjbwQAAABQwgg5gs88tji1fe+qtRjW2duV4NAAAAIWJoDMMukIRfeqBzfrUA5vVFYoM/QaMamdOrNTC6TUKR039YMN7ad2juSOgZ3ce0e+3HtD6txvV3BGweZQAAAD5jT06wyBqmnrzQGviMfLfvy6dpWse2qKHX92vL37sFM0YX5bU+7bvb9EDG3drw84j6jlVDEP62IyxuuXy07RganWWRg0AAJA/qOgAWXDetBpdfnqtoqZ022NvKRIdPOB2BiP61uPv6K///QU9824s5MwYX6aPnzZOs+vKZZrS/+w+pk//+EWt/sMOzukBAAAYAhUdIEu+cdXpemHPMW35oFk/3fSB/umSU/u97qUPmvX//Neb+qjZL0lafs5EfeWymTp1XHcVaF+zXz/auFuPbD2g37yyT6/sbdb/ueE8TRtbOizfCwAAwGhDRQfIkmljS3Xnp86QJH1v/S798aRDRJs7Avr6ozv0v376kj5q9mtCZbF+8fnzdP//mtcr5EjSlDFe3XPNXK27aZHqKor1/lGf/vLBF/TCnmPD9v0AAACMJlR0gCz623Prte2jFj382n7d/Nvt+tMbh7VwerV2NXbo6bcb1RFfgnbdwilavWy2Kopdg97vglPH6r+/cqH+4Vdb9fq+Fl3/81f0jatO1+cvmCbD4DBaAAAAC0EHyCLDMPTtvz5bVaUu/XTTB3rm3SY9825T4vUzJ1botk+eofNPGZP0PceXF+s3N52vr/9hh/7w+kHd9ad3tONgq779V2er2OXMxrcBAAAw6hB0hklNqTvXQ0COOB2GVl95uj49f7L+uP2gDpzoVG1FsS6bPV7nTauRw5F6JabY5dS9fztXZ0ys0Jo/79Qfth3U7qYO/ei6eezbAQAAEEFnWHjdRdp22xW5HgZy7LTacv3r0tm23c8wDH3polN0xoQKrVi3TTsOtuovfrBJKy+doRsvnK5Sz9D/eZumqeO+oD5s9qvFH5Q/GJFhSOXFLo0tc+vUcWVUiQAAwKiUVtB58MEHdc8996ixsVFz587Vj370Iy1cuHDA6x955BHddttt+vDDDzVz5kz927/9m5YtW5b2oAF0u2DGWD3+vy/Srb9/Qy/sadb31r+n//ifvfrknAm6cMZYnTKuVKXuIrV1hdTcEdTuIx16r7Fdu5ra9f7RDrV3Ddyq2jCk+mqvZteVa259leZMrtScSVWq9A6+lwgAACDXUg46Dz/8sFatWqWHHnpIixYt0v3336+lS5dq165dGj9+fJ/rX3zxRV133XVas2aNPvnJT2rdunVavny5tm3bprPOOsuWbwIodJOqSvSfX1yk/37jkO5reE8fNvv165f36dcv70vq/RMrizW23KMSl1OmKbV1hdTY1qUWf0j7jvu177hf69/p3ls0bYxXcybHgs/c+iqdObFCXjcFYgAAMHIYpmkOfpLhSRYtWqTzzjtPDzzwgCQpGo2qvr5eX/nKV/S1r32tz/XXXnutfD6fHn/88cRz559/vs455xw99NBDSX1mW1ubKisr1draqoqKilSGO6BQKKQnn3xSy5Ytk8uV3f873RWK6IafvyJJ+r9fWMhSoFFuOOdOOiJRU1veb9aTbx3WmwdadKilS/5gWOXFLlV7XZo+tlSzast1Wl25Zo4v19Qx3n7npGmaavYF9V5Tu9451KY3DrTqzQMtifN+TlZZElvuVuV1y2kYcjhi+5MiUVORqKlQxPo9qkjUVDhqKhyNKhIxFYpf4zAMlXqcKnUXqdTjlNddpDJPkbxup7xup4pdTnmKHPLEfy92OeUucqjnLqeB/kKzrrG60xmKVawU/92IX9H9nJG4xpAR/916vefXPa6z7mNIA+28ikQievWVV3XewvPkdGb+d8Fwddsbrp5+w9k80Bi278o+4UhYr7z8ihYuWqgiJ/9zAalh/iBd1tz5q6Uf18y6qlwPJ+lskNIsDwaD2rp1q1avXp14zuFw6PLLL9eWLVv6fc+WLVu0atWqXs8tXbpUjz322ICfEwgEFAgEEl+3tbVJiv0DMxQKpTLkAVn3set+gwkEw3p57/H446CcbI0a1YZz7qRr0bRKLZpWmeTVUYVC0X5fqfQ4dN6USp03pVJSvSSpxR/SjkOt2nGgTTsOturNg2060h5Qa2dIrZ0hSb6Mxn6sI6O3jxJOPbRzW64HgVHLqX9/d2uuB4FRi/mDdDkVqN6vr12Z+6ZHyf4bLKV/cR87dkyRSES1tbW9nq+trdXOnTv7fU9jY2O/1zc2Ng74OWvWrNFdd93V5/n169fL6/WmMuQhNTQ02Hq//gQikvWjfvrp9fJQ0MkLwzF3RrJpkqZVS1dXS76Q1BaSOkKG/OFYVSVqxn53SHIYsV/OXr+bJ30de08gIgWiRux361dUCkYMhaJSOCoFo1LYVOLrZPWs9vSsZZsn/272/Nro9XX/18S+Pvk+I11q9fzcycYwR8m3DgAjSvPBvXryyQ9yPQz5/f2vLjnZiCwtrF69ulcVqK2tTfX19VqyZImtS9caGhp0xRVXZH35kT8Y1q2vbJQkLV26hL0Mo9xwzh3kH+YPMsH8QSaYP0jXSJs71mqvoaT0L+6xY8fK6XSqqamp1/NNTU2qq6vr9z11dXUpXS9JHo9HHo+nz/Mul8v2H2427tnnM8zudeCxzyPo5IPhmDvIX8wfZIL5g0wwf5CukTJ3kh2DI5Wbut1uLViwQBs2bEg8F41GtWHDBi1evLjf9yxevLjX9VJsyc9A1wMAAABAplIuLaxatUo33HCDzj33XC1cuFD333+/fD6fbrzxRknS9ddfr0mTJmnNmjWSpJtvvlkXX3yx7r33Xl111VX67W9/q9dee00//elP7f1OAAAAACAu5aBz7bXX6ujRo7r99tvV2Nioc845R0899VSi4cC+ffvkcHQXii644AKtW7dO3/jGN/T1r39dM2fO1GOPPVZwZ+iU0FIaAAAAGDZpbRZZuXKlVq5c2e9rzz33XJ/nrrnmGl1zzTXpfFRe8LqL9O7df5HrYQAAAAAFI6U9OgAAAAAwGhB0AAAAAOQdgs4w6ApFdOMvXtGNv3hFXaFIrocDAAAA5D0OdBkGUdPUs7uOJh4DAAAAyC4qOgAAAADyDkEHAAAAQN4h6AAAAADIOwQdAAAAAHmHoAMAAAAg74yKrmtmvFNZW1ubbfcMhULy+/1qa2uTy+Wy7b798QfDigb8kmLfQ9g9Kn7sGMBwzh3kH+YPMsH8QSaYP0jXSJs7ViYwh+hmbJhDXTECHDhwQPX19bkeBgAAAIARYv/+/Zo8efKAr4+KoBONRnXo0CGVl5fLMAxb7tnW1qb6+nrt379fFRUVttwThYG5g0wwf5AJ5g8ywfxBukba3DFNU+3t7Zo4caIcjoF34oyKNVQOh2PQtJaJioqKEfEHhtGHuYNMMH+QCeYPMsH8QbpG0typrKwc8hqaEQAAAADIOwQdAAAAAHmnYIOOx+PRHXfcIY/Hk+uhYJRh7iATzB9kgvmDTDB/kK7ROndGRTMCAAAAAEhFwVZ0AAAAAOQvgg4AAACAvEPQAQAAAJB3CDoAAAAA8g5BBwAAAEDeKcig8+CDD2ratGkqLi7WokWL9Morr+R6SBiBNm3apKuvvloTJ06UYRh67LHHer1umqZuv/12TZgwQSUlJbr88su1e/fu3AwWI8qaNWt03nnnqby8XOPHj9fy5cu1a9euXtd0dXVpxYoVGjNmjMrKyvTpT39aTU1NORoxRpIf//jHmjNnTuIE8sWLF+vPf/5z4nXmDlLxne98R4Zh6JZbbkk8xxzCQO68804ZhtHr1+zZsxOvj7a5U3BB5+GHH9aqVat0xx13aNu2bZo7d66WLl2qI0eO5HpoGGF8Pp/mzp2rBx98sN/Xv/vd7+qHP/yhHnroIb388ssqLS3V0qVL1dXVNcwjxUjz/PPPa8WKFXrppZfU0NCgUCikJUuWyOfzJa756le/qj/96U965JFH9Pzzz+vQoUP667/+6xyOGiPF5MmT9Z3vfEdbt27Va6+9pk984hP6y7/8S7399tuSmDtI3quvvqqf/OQnmjNnTq/nmUMYzJlnnqnDhw8nfm3evDnx2qibO2aBWbhwoblixYrE15FIxJw4caK5Zs2aHI4KI50k89FHH018HY1Gzbq6OvOee+5JPNfS0mJ6PB7zN7/5TQ5GiJHsyJEjpiTz+eefN00zNldcLpf5yCOPJK559913TUnmli1bcjVMjGDV1dXmz372M+YOktbe3m7OnDnTbGhoMC+++GLz5ptvNk2Tv38wuDvuuMOcO3duv6+NxrlTUBWdYDCorVu36vLLL08853A4dPnll2vLli05HBlGm71796qxsbHXXKqsrNSiRYuYS+ijtbVVklRTUyNJ2rp1q0KhUK/5M3v2bE2ZMoX5g14ikYh++9vfyufzafHixcwdJG3FihW66qqres0Vib9/MLTdu3dr4sSJOuWUU/TZz35W+/btkzQ6505RrgcwnI4dO6ZIJKLa2tpez9fW1mrnzp05GhVGo8bGRknqdy5ZrwGSFI1Gdcstt+jCCy/UWWedJSk2f9xut6qqqnpdy/yBZceOHVq8eLG6urpUVlamRx99VGeccYa2b9/O3MGQfvvb32rbtm169dVX+7zG3z8YzKJFi7R27VrNmjVLhw8f1l133aWLLrpIb7311qicOwUVdABguK1YsUJvvfVWrzXOwFBmzZql7du3q7W1Vb///e91ww036Pnnn8/1sDAK7N+/XzfffLMaGhpUXFyc6+FglLnyyisTj+fMmaNFixZp6tSp+t3vfqeSkpIcjiw9BbV0bezYsXI6nX26QzQ1Namuri5Ho8JoZM0X5hIGs3LlSj3++ON69tlnNXny5MTzdXV1CgaDamlp6XU98wcWt9utGTNmaMGCBVqzZo3mzp2rH/zgB8wdDGnr1q06cuSI5s+fr6KiIhUVFen555/XD3/4QxUVFam2tpY5hKRVVVXptNNO0549e0bl3z8FFXTcbrcWLFigDRs2JJ6LRqPasGGDFi9enMORYbSZPn266urqes2ltrY2vfzyy8wlyDRNrVy5Uo8++qg2btyo6dOn93p9wYIFcrlcvebPrl27tG/fPuYP+hWNRhUIBJg7GNJll12mHTt2aPv27Ylf5557rj772c8mHjOHkKyOjg69//77mjBhwqj8+6fglq6tWrVKN9xwg84991wtXLhQ999/v3w+n2688cZcDw0jTEdHh/bs2ZP4eu/evdq+fbtqamo0ZcoU3XLLLfrWt76lmTNnavr06brttts0ceJELV++PHeDxoiwYsUKrVu3Tn/84x9VXl6eWLtcWVmpkpISVVZW6otf/KJWrVqlmpoaVVRU6Ctf+YoWL16s888/P8ejR66tXr1aV155paZMmaL29natW7dOzz33nJ5++mnmDoZUXl6e2A9oKS0t1ZgxYxLPM4cwkH/5l3/R1VdfralTp+rQoUO644475HQ6dd11143Ov39y3fYtF370ox+ZU6ZMMd1ut7lw4ULzpZdeyvWQMAI9++yzpqQ+v2644QbTNGMtpm+77TaztrbW9Hg85mWXXWbu2rUrt4PGiNDfvJFk/uIXv0hc09nZaX75y182q6urTa/Xa/7VX/2Vefjw4dwNGiPGF77wBXPq1Kmm2+02x40bZ1522WXm+vXrE68zd5Cqnu2lTZM5hIFde+215oQJE0y3221OmjTJvPbaa809e/YkXh9tc8cwTdPMUcYCAAAAgKwoqD06AAAAAAoDQQcAAABA3iHoAAAAAMg7BB0AAAAAeYegAwAAACDvEHQAAAAA5B2CDgAAAIC8Q9ABAAAAkHcIOgAAAADyDkEHAAAAQN4h6AAAAADIO/8/mcEzeigvkGMAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# function f, proopotional to the target distribution\n", "def f(x):\n", " return np.exp(-x**2/40) * (np.cos(np.pi*x) + 2)\n", "\n", "# Domain\n", "xmin, xmax = 1, np.inf\n", "\n", "# Search the max of f (on a sub-domain)\n", "xmax_tmp = 50.0\n", "h = lambda x: -f(x)\n", "res = scipy.optimize.differential_evolution(h, bounds=[(xmin, xmax_tmp)])\n", "mu = res.x # maximizing f\n", "\n", "# Plot\n", "xx = np.linspace(xmin, xmax_tmp, 1000)\n", "yy = f(xx)\n", "\n", "plt.figure(figsize=(10, 5))\n", "plt.plot(xx, yy)\n", "plt.axvline(x=mu, ls='dashed')\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set instrumental distribution (g, g_rvs)\n", "s = 5.0\n", "g = lambda x: np.exp(-0.5*((x-mu)/s)**2)\n", "# g = scipy.stats.norm(loc=mu, scale=s).pdf # Also possible\n", "g_rvs = scipy.stats.norm(loc=mu, scale=s).rvs\n", "\n", "# Search the max of f(x)/g(x) (on a sub-domain)\n", "h = lambda x: -f(x)/g(x)\n", "res = scipy.optimize.differential_evolution(h, bounds=[(xmin, xmax_tmp)])\n", "c = -res.fun # max f/g\n", "\n", "# Plot\n", "xx = np.linspace(xmin, xmax_tmp, 1000)\n", "yy = -h(xx)\n", "\n", "plt.figure(figsize=(10, 5))\n", "plt.plot(xx, yy, label= 'f/g')\n", "plt.plot(xx, f(xx), label= 'f')\n", "plt.plot(xx, g(xx), label= 'g')\n", "plt.axvline(x=res.x, ls='dashed')\n", "plt.axhline(y=c, ls='dashed')\n", "plt.grid()\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Elapsed time: 0.12 sec\n", "Acceptance ratio = 0.2701\n" ] } ], "source": [ "# Draw samples\n", "n = 500000\n", "np.random.seed(1239)\n", "t1 = time.time()\n", "x, t = gn.randProcess.acceptRejectSampler(n, xmin, xmax, f, c=c, g=g, g_rvs=g_rvs, return_accept_ratio=True, show_progress=False)\n", "t2 = time.time()\n", "print(f'Elapsed time: {t2-t1:.2g} sec')\n", "print(f'Acceptance ratio = {t:.4g}')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Target density\n", "fint = scipy.integrate.quad(f, xmin, xmax)[0]\n", "xx = np.linspace(xmin, x.max(), 1000)\n", "yy = f(xx)/fint\n", "\n", "# Plot\n", "plt.figure(figsize=(10, 5))\n", "plt.hist(x, bins=200, density=True, color='lightblue', edgecolor='gray', label='sample (A-R)')\n", "plt.plot(xx, yy, 'r', label='target density')\n", "plt.grid()\n", "plt.title(f'{n} points generated with accept-reject algo (accept ratio = {t:.4g})')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example - 2 variables on a finite domain" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# Function of 2 variables, proportional to target density\n", "def f_2var(x0, x1):\n", " return np.exp(-((x0-1.0)**2+(x1-1.0)**2)/10.0)*np.sin(2*x0)**2*np.cos(3*x1)**2\n", "\n", "# Same function, but taking an array as argument, where each row is one 2d point\n", "f = lambda x: f_2var(x[...,0], x[...,1])\n", "\n", "# def f(x):\n", "# y = f_2var(x[...,0], x[...,1])\n", "# return y\n", "\n", "# def f(x):\n", "# xx = np.atleast_2d(x)\n", "# y = f_2var(xx[:,0], xx[:,1])\n", "# return y" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Domain\n", "x0min, x0max = -1.0, 4.0\n", "x1min, x1max = 0.0, 2.5\n", "\n", "xmin = np.array([x0min, x1min])\n", "xmax = np.array([x0max, x1max])\n", "\n", "# Plot of f\n", "# Empty image\n", "nx0, nx1 = 120, 100\n", "sx0, sx1 = (x0max - x0min)/nx0, (x1max - x1min)/nx1\n", "im_f = gn.img.Img(nx=nx0, ny=nx1, sx=sx0, sy=sx1, ox=x0min, oy=x1min, nv=0) \n", "\n", "# Add variable: evaluation of f\n", "im_f.append_var(f(np.array((im_f.xx().reshape(-1), im_f.yy().reshape(-1))).T))\n", "\n", "# Plot\n", "plt.figure(figsize=(10, 10))\n", "gn.imgplot.drawImage2D(im_f, cmap=\"Blues\")\n", "plt.title('Function proportional to target density')\n", "plt.show() " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# Normalize image of f (density, sum to one)\n", "im_fd = gn.img.copyImg(im_f)\n", "im_fd.val = im_f.val/(im_f.val.sum() * im_f.sx*im_f.sy)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Elapsed time: 0.42 sec\n", "Acceptance ratio = 0.2059\n" ] } ], "source": [ "# Draw sample\n", "n = 500000\n", "np.random.seed(1239)\n", "t1 = time.time()\n", "x, t = gn.randProcess.acceptRejectSampler(n, xmin, xmax, f, return_accept_ratio=True, show_progress=False)\n", "t2 = time.time()\n", "print(f'Elapsed time: {t2-t1:.2g} sec')\n", "print(f'Acceptance ratio = {t:.4g}')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute histogram (on same grid as image of f above)\n", "H, xedges, yedges = np.histogram2d(x[:, 0], x[:, 1], bins=[im_f.ox+np.arange(im_f.nx+1)*im_f.sx, im_f.oy+np.arange(im_f.ny+1)*im_f.sy],\n", " density=True)\n", "# Image of histogram 2D\n", "im_H = gn.img.Img(nx=nx0, ny=nx1, sx=sx0, sy=sx1, ox=x0min, oy=x1min, nv=1, val=H.T) \n", "\n", "# Plot\n", "plt.subplots(3,1, sharex=True, sharey=True, figsize=(8, 10))\n", "\n", "plt.subplot(3,1,1)\n", "gn.imgplot.drawImage2D(im_fd, cmap='Blues')\n", "plt.title('Target density')\n", "\n", "plt.subplot(3,1,2)\n", "gn.imgplot.drawImage2D(im_H, cmap='Blues')\n", "plt.title(f'{n} points generated with accept-reject algo (accept ratio = {t:.4g})')\n", "\n", "im_diff = gn.img.copyImg(im_H)\n", "im_H.val = im_H.val - im_fd.val\n", "\n", "plt.subplot(3,1,3)\n", "gn.imgplot.drawImage2D(im_H, cmap='viridis')\n", "plt.title(f'Diff (histogram 2D - target density)')\n", "\n", "plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Specifying instrumental distribution\n", "Set `g` and `g_rvs`; `c` will be computed automatically." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# Set instrumental distribution (g, g_rvs)\n", "mean = np.array([1.5, 1.25]) #np.array([0.8, 1.2])\n", "cov = np.array([2.2, 1.8])\n", "g = lambda x: np.exp(-0.5*(((np.atleast_2d(x)-mean)**2/cov).sum(axis=1)))\n", "# g = scipy.stats.multivariate_normal(mean=mean, cov=cov).pdf # Also possible\n", "g_rvs = scipy.stats.multivariate_normal(mean=mean, cov=cov).rvs" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# # Set instrumental distribution (g, g_rvs): uniform\n", "# g = lambda x: 1\n", "# def g_rvs(size=1):\n", "# return xmin + scipy.stats.uniform.rvs(size=(size,2))*(xmax-xmin)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Image of g\n", "im_g = gn.img.Img(nx=nx0, ny=nx1, sx=sx0, sy=sx1, ox=x0min, oy=x1min, nv=1, \n", " val=g(np.array((im_f.xx().reshape(-1), im_f.yy().reshape(-1))).T))\n", "\n", "# Image of f/g\n", "im_f_over_g = gn.img.Img(nx=nx0, ny=nx1, sx=sx0, sy=sx1, ox=x0min, oy=x1min, nv=1, \n", " val=im_f.val/im_g.val)\n", "\n", "# Plot\n", "plt.subplots(3,1, sharex=True, sharey=True, figsize=(8, 10))\n", "\n", "plt.subplot(3,1,1)\n", "gn.imgplot.drawImage2D(im_f, cmap='Blues')\n", "plt.title('Function f, proportional to target density')\n", "\n", "plt.subplot(3,1,2)\n", "gn.imgplot.drawImage2D(im_g, cmap='Oranges')\n", "plt.title('Function g, proportional to instrumental density')\n", "\n", "plt.subplot(3,1,3)\n", "gn.imgplot.drawImage2D(im_f_over_g, cmap='Greens')\n", "plt.title('Function f/g')\n", "\n", "plt.show() " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Elapsed time: 1.2 sec\n", "Acceptance ratio = 0.05966\n" ] } ], "source": [ "# Draw sample\n", "n = 500000\n", "np.random.seed(1239)\n", "t1 = time.time()\n", "x, t = gn.randProcess.acceptRejectSampler(n, xmin, xmax, f, g=g, g_rvs=g_rvs, return_accept_ratio=True, show_progress=False)\n", "t2 = time.time()\n", "print(f'Elapsed time: {t2-t1:.2g} sec')\n", "print(f'Acceptance ratio = {t:.4g}')" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute histogram (on same grid as image of f above)\n", "H, xedges, yedges = np.histogram2d(x[:, 0], x[:, 1], bins=[im_f.ox+np.arange(im_f.nx+1)*im_f.sx, im_f.oy+np.arange(im_f.ny+1)*im_f.sy],\n", " density=True)\n", "# Image of histogram 2D\n", "im_H = gn.img.Img(nx=nx0, ny=nx1, sx=sx0, sy=sx1, ox=x0min, oy=x1min, nv=1, val=H.T) \n", "\n", "# Plot\n", "plt.subplots(3,1, sharex=True, sharey=True, figsize=(8, 10))\n", "\n", "plt.subplot(3,1,1)\n", "gn.imgplot.drawImage2D(im_fd, cmap='Blues')\n", "plt.title('Target density')\n", "\n", "plt.subplot(3,1,2)\n", "gn.imgplot.drawImage2D(im_H, cmap='Blues')\n", "plt.title(f'{n} points generated with accept-reject algo (accept ratio = {t:.4g})')\n", "\n", "im_diff = gn.img.copyImg(im_H)\n", "im_H.val = im_H.val - im_fd.val\n", "\n", "plt.subplot(3,1,3)\n", "gn.imgplot.drawImage2D(im_H, cmap='viridis')\n", "plt.title(f'Diff (histogram 2D - target density)')\n", "\n", "plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example - 2 variables on an infinite domain\n", "With an infinite domain, the instrumental distribution (`g` and `g_rvs`), and `c` (greater than or equal to the maximum of `f/g`) must be specified." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# Function of 2 variables, proportional to target density\n", "def f_2var(x0, x1):\n", " return np.exp(-((x0-1.0)**2+(x1-1.0)**2)/10.0)*np.sin(2*x0)**2*np.cos(3*x1)**2\n", "\n", "# Same function, but taking an array as argument, where each row is one 2d point\n", "f = lambda x: f_2var(x[...,0], x[...,1])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Domain\n", "x0min, x0max = -1.0, np.inf\n", "x1min, x1max = -np.inf, 2.5\n", "\n", "xmin = np.array([x0min, x1min])\n", "xmax = np.array([x0max, x1max])\n", "\n", "# Search the max of f (on a sub-domain)\n", "xmin_tmp = np.array([x0min, -5.])\n", "xmax_tmp = np.array([5., x1max])\n", "h = lambda x: -f(x)\n", "res = scipy.optimize.differential_evolution(h, bounds=list(zip(xmin_tmp, xmax_tmp)))\n", "mu = res.x # maximizing f\n", "\n", "# Plot of f\n", "# Empty image\n", "nx0, nx1 = 120, 100\n", "sx0, sx1 = (xmax_tmp - xmin_tmp)/np.array([nx0, nx1])\n", "im_f = gn.img.Img(nx=nx0, ny=nx1, sx=sx0, sy=sx1, ox=xmin_tmp[0], oy=xmin_tmp[1], nv=0) \n", "\n", "# Add variable: evaluation of f\n", "im_f.append_var(f(np.array((im_f.xx().reshape(-1), im_f.yy().reshape(-1))).T))\n", "\n", "# Plot\n", "plt.figure(figsize=(5, 5))\n", "gn.imgplot.drawImage2D(im_f, cmap=\"Blues\")\n", "plt.plot(mu[0], mu[1], color='red', marker='+')\n", "plt.title('Function proportional to target density and its max')\n", "plt.show() " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# Set instrumental distribution (g, g_rvs)\n", "mean = mu\n", "cov = np.array([5.6, 5.2])\n", "g = lambda x: np.exp(-0.5*(((np.atleast_2d(x)-mean)**2/cov).sum(axis=1)))\n", "# g = scipy.stats.multivariate_normal(mean=mean, cov=cov).pdf # Also possible\n", "g_rvs = scipy.stats.multivariate_normal(mean=mean, cov=cov).rvs\n", "\n", "# Search the max of f(x)/g(x) (on a sub-domain)\n", "h = lambda x: -f(x)/g(x)\n", "res = scipy.optimize.differential_evolution(h, bounds=list(zip(xmin_tmp, xmax_tmp)))\n", "c = -res.fun # max f/g\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Image of g (on a sub-domain)\n", "im_g = gn.img.Img(nx=nx0, ny=nx1, sx=sx0, sy=sx1, ox=xmin_tmp[0], oy=xmin_tmp[1], nv=1, \n", " val=g(np.array((im_f.xx().reshape(-1), im_f.yy().reshape(-1))).T))\n", "\n", "# Image of f/g (on a sub-domain)\n", "im_f_over_g = gn.img.Img(nx=nx0, ny=nx1, sx=sx0, sy=sx1, ox=xmin_tmp[0], oy=xmin_tmp[1], nv=1, \n", " val=im_f.val/im_g.val)\n", "\n", "# Plot\n", "plt.subplots(1,3, sharex=True, sharey=True, figsize=(12, 8))\n", "\n", "plt.subplot(1,3,1)\n", "gn.imgplot.drawImage2D(im_f, cmap='Blues')\n", "plt.plot(mu[0], mu[1], color='red', marker='+')\n", "plt.title('f, prop. to target density')\n", "\n", "plt.subplot(1,3,2)\n", "gn.imgplot.drawImage2D(im_g, cmap='Oranges')\n", "plt.title('g, prop. to instrumental density')\n", "\n", "plt.subplot(1,3,3)\n", "gn.imgplot.drawImage2D(im_f_over_g, cmap='Greens')\n", "plt.plot(res.x[0], res.x[1], color='cyan', marker='+') # max of f/g\n", "plt.title('Function f/g')\n", "\n", "plt.show() " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# Normalize image of f (density, sum to one)\n", "im_fd = gn.img.copyImg(im_f)\n", "im_fd.val = im_f.val/(im_f.val.sum() * im_f.sx*im_f.sy)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Elapsed time: 0.5 sec\n", "Acceptance ratio = 0.143\n" ] } ], "source": [ "# Draw sample\n", "n = 500000\n", "np.random.seed(1239)\n", "t1 = time.time()\n", "x, t = gn.randProcess.acceptRejectSampler(n, xmin, xmax, f, c=c, g=g, g_rvs=g_rvs, return_accept_ratio=True, show_progress=False)\n", "t2 = time.time()\n", "print(f'Elapsed time: {t2-t1:.2g} sec')\n", "print(f'Acceptance ratio = {t:.4g}')" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute histogram (on same grid as image of f above)\n", "H, xedges, yedges = np.histogram2d(x[:, 0], x[:, 1], bins=[im_f.ox+np.arange(im_f.nx+1)*im_f.sx, im_f.oy+np.arange(im_f.ny+1)*im_f.sy],\n", " density=True)\n", "# Image of histogram 2D\n", "im_H = gn.img.Img(nx=nx0, ny=nx1, sx=sx0, sy=sx1, ox=xmin_tmp[0], oy=xmin_tmp[1], nv=1, val=H.T) \n", "\n", "# Plot\n", "plt.subplots(1,3, sharex=True, sharey=True, figsize=(12, 8))\n", "\n", "plt.subplot(1,3,1)\n", "gn.imgplot.drawImage2D(im_fd, cmap='Blues')\n", "plt.title('Target density')\n", "\n", "plt.subplot(1,3,2)\n", "gn.imgplot.drawImage2D(im_H, cmap='Blues')\n", "plt.title(f'{n} points(accept ratio = {t:.4g})')\n", "\n", "im_diff = gn.img.copyImg(im_H)\n", "im_H.val = im_H.val - im_fd.val\n", "\n", "plt.subplot(1,3,3)\n", "gn.imgplot.drawImage2D(im_H, cmap='viridis')\n", "plt.title(f'Diff (hist 2D - target density)')\n", "\n", "plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some points have been drawn out of the image grid above, which correspond to a sub-domain." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "min coordinates of sample points: [-0.99999902 -9.62907583]\n", "max coordinates of sample points: [11.38834381 2.49992052]\n" ] } ], "source": [ "print('min coordinates of sample points:', x.min(axis=0))\n", "print('max coordinates of sample points:', x.max(axis=0))" ] } ], "metadata": { "kernelspec": { "display_name": "py313", "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": "3.13.7" } }, "nbformat": 4, "nbformat_minor": 4 }