{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# PDFs and Normalization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial, we discuss the treatment of histograms as probality density functions(PDFs).\n", "\n", ".. contents:: :local:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import stats\n", "import histlite as hl\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Histogram as PDF" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We begin by designing artificial \"data\" distributions with which to test various features. First, a non-trivial 1D distribution:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "props1d = dict(loc=np.r_[20, 33, 60], scale=np.r_[5, 8, 13], norm=np.r_[.2, .3, 0.5])" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def pdf1d(x):\n", " pdf0 = props1d['norm'][0] * stats.norm.pdf(x, props1d['loc'][0], props1d['scale'][0])\n", " pdf1 = props1d['norm'][1] * stats.norm.pdf(x, props1d['loc'][1], props1d['scale'][1])\n", " pdf2 = props1d['norm'][2] * stats.norm.pdf(x, props1d['loc'][2], props1d['scale'][2])\n", " return pdf0 + pdf1 + pdf2" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "x = np.linspace(0, 100, 300)\n", "ax.plot(x, pdf1d(x), 'k:')\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('PDF');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can obtain random numbers distributed according to this distribution like so:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def random1d(N):\n", " loc = props1d['loc']\n", " scale = props1d['scale']\n", " norm = props1d['norm']\n", " which = np.random.choice(3, p=norm, size=N)\n", " return np.random.normal(loc[which], scale[which])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "np.random.seed(1)\n", "X = random1d(10000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The histogram of these values looks like so:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Hist(50 bins in [0.0,100.0], with sum 9993.0, 1 empty bins, and 0 non-finite values)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h1d = hl.hist(X, bins=50, range=(0, 100))\n", "h1d" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n", " xys = np.asarray(xys)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "hl.plot1d(h1d, crosses=True)\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('counts per bin');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can obtain a normalized histogram like so:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "p1d = h1d.normalize()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n", " xys = np.asarray(xys)\n" ] }, { "data": { "image/png": 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dPHnSnitYUFCgTp06KSsrq8V6I0aMUEJCggoKCuwgWF9fr8LCQo0fP/6i29XY2KiCggINGDAgZKESoXEh+6SiY6C3t2NrLZQzpQMIPkcEwdzcXL388suaOHGiFixYoGPHjunhhx9Wbm6uzxqCo0eP1uHDh/XNN99IkmJiYjR//nw98cQT6tGjhwYOHKiVK1fq+PHjysvL83mP9evXS5L279+vhoYG+/mwYcN05ZVX6vDhw/r1r3+t6dOnq1+/fvJ6vXr11Vf1+eef69133w3RN4FQudh9UgEnClfPZqDrOl7s+o+EfCD4HBEE3W63tm3bpjlz5mjixImKj4/XrFmztHjxYp/jGhoadPbsWZ+yRx99VJZlKT8/X+Xl5RoyZIg2b95s7yrSZOrUqc0+X7NmjWbMmKH4+Hh169ZNzzzzjH744QdFRUXphhtuUFFRkcaNG9cOnxpAe6C3FwAC54ggKP249t/WrVtbPWbHjh1+ZS6XS/Pnz9f8+fNbrWtZVquvJyUl6YMPPvjJdgJwtkjp7Q32MGgkDKsS8oHgc0wQBAD8TbCHQSNhWDVSQj7gJI7YWQQAAAChR48gADhQsIdBGVYF0ByCIAA4ULCHQRlWBdAchoYBAAAMRRAEAAAwFEPDANCKSFh2BQBaQhAEYKRAA14kLLsCAC0hCAIwUqABD6HRFMzpdQVCiyAI413s/qeIbE5fdiVShq6bC+b0ugLtjyAIwEiBBjynL7vC0DWAi0EQBBCxWuvtdXrAM01TMA9Xr2tJRbUdqovzRvJnAMYgCAJAB+b0oetANRe8WgvlTOkAgoMgCAAdGD2bAC4GC0oDAAAYih5BAHC4YA+DBno+5s0BkY8eQQAAAEMRBAEAAAxFEAQAADAUQRAAAMBQBEEAAABDEQQBAAAMxfIxABAgdrMAEGkIggCMR8AzU0lFtf241FvT7GOp5d1bgEhAEASACBEJgTaUn6FpsezzNe3X3KSjf6dAa5gjCAAAYCh6BAEANpOGS4vzRtqPS701dk/gmzMzlOLuGqZWAaFFEASAIAt0j14n7uVr0nBpS993irurI64FEAoMDQMAABiKHkEAgI3hUsAsBEEAgC3ShkudOPwOOAlDwwAAAIYiCAIAABiKIAgAAGAogiAAAIChCIIAAACGIggCAAAYiiAIAABgKNYRBIAgCHSP3nNF+l6+HUmf7nERsW0e0FYEQQAIgkD36G1JJO7lC8D5GBpGxCqpqFbqvI1KnbfRp7cGAAD8iB5BAAiCC9mj1+l7+XbU4dJAh+kZfgcIggAQFBe7R29H3cvXiQIdpu+IIRcINoaGAQAADNWmHsFBgwZp7dq1uu666+yytWvXavz48UpMTAx22wAAaLMLGaYHTNWmIPi///u/qqn52xyLhoYG3XXXXfrjH/+ov/u7vwt64wAAaKuLHaYHTHLRQ8OWZQWjHQAAAAgx5ggCAAAYqs1B0OVyBVQGAAAAZ2vz8jGZmZnq1Mk3P95yyy1+ZS6XS5WVlRfXOgAAALSbNgXBRYsWtVc7AAAAEGIEQUQUdhQAACBwF7WzSENDg06cOCGXy6WkpCS/4WEg1NhRAE4Q6NZsHXULNwCR44KS2+9+9zvdfPPNiouLU8+ePXX55ZcrLi5Ov/zlL1VQUBDsNgIAAKAdtLlHcM6cOVqxYoWSk5M1depU9erVS5ZlqbS0VNu3b9e0adO0a9cuvfDCC+3RXqBV7CgAAEDg2hQEt27dqhUrVmj+/Pl66qmndMkll/i83tDQoMcff1zLli3TbbfdpszMzKA2Fvgp7CgAAEDg2hQEV69erbFjx2rx4sXNvn7JJZdoyZIl+vzzz/Xv//7vBEEAQFgxDxNoXZvmCO7Zs0fTp0//yePuvPNOffbZZxfcKAAAALS/NgXB77//Xn379v3J4/r27avvv//+ghsFAACA9temIFhTU6OYmJifPC46OlqnT5++4EYBAACg/bX5ruGDBw+qc+fWq3k8ngtuEAAATlVSUW2vV1qcN5Kb0NDhtTkIzpgxQ5Zl2c9dLpffMZZlNVsOAAAA52hTECwuLm6vdgAAACDE2hQEf/nLX2r//v1atWqVSkpKdMUVV2jq1KkaM2ZMe7UPAAAA7aRNQXDnzp0aM2aM6uvr1aNHDx0/flxvvPGGVqxYodzc3PZqIwAAANpBm+4aXrRokdLS0nTo0CH99a9/1fHjxzVx4kQ99thj7dU+4II1LSR7aOkEJnQDANCMNgXBffv2aeHCherVq5ckKSEhQc8//7xOnDiho0ePtksDAQAA0D7aFAQrKiqUkpLiU9YUCisqKoLXKgAAALS7NgVBqfnlYgAAANDxtDkIZmZmKiEhwf5xu92SpFtuucWnvFu3bm06r8fj0dixYxUXF6eePXvqkUceUV1d3U/WsyxLS5cuVe/evRUbG6vhw4dr9+7dPseUl5frgQce0I033qjo6GhdeumlLZ5vw4YNGjx4sGJiYtS/f3+tWbOmTZ8DAACgo2jTXcOLFi1ql0Z4vV6NGjVKV199tQoLC3Xs2DHNnTtXNTU1euWVV1qtu2zZMi1atEhLly7VoEGDtGLFCmVlZWnv3r32vsjHjh3T22+/rYyMDN1www368ssvmz3Xzp07NWnSJM2aNUsvvviitm/frpkzZyo+Pl5TpkwJ+ucGADhfSUW1/bjUW9PsY0nclIYOyWWdu01ImDz77LNavHixjhw5oqSkJEnS66+/rtmzZ+vIkSO64oormq1XW1uryy+/XPfdd5+WLFkiSaqrq1P//v01fvx4rVy5UpLU2NioTp1+7Px84oknlJ+fr1OnTvmdb9y4cTp16pQ++eQTu+zOO+/U3r17tX///oA/T2lpqXr16qWjR4/6zakEAHQsqfM2BnTcoaUT2rklQGDakkPaPDTcHoqKijRmzBg7BEpSTk6OGhsbtWXLlhbr7dq1S1VVVcrJybHLoqKiNHnyZG3atMkuawqBrTlz5oyKi4s1depUn/Jp06bpwIEDOnToUBs+EQAAgPO1ea/h9uDxeHTPPff4lCUmJio5OVkej6fVepKUlpbmU56enq4jR47o9OnTio2NDagN3377rerr65s9V9N7paamBnQuAEDkKM4baT8u9dbortV7JElvzsxQirtrmFoFBIcjgqDX61ViYqJfudvt1okTJ1qtFx0drZiYGL96lmXJ6/UGHAS9Xq8k+bWj6WaY1tpRVVWlqqoq+3lZWVlA7wkAcL6W5v6luLu2+FpJRbUy83dI+jFIMn8QTuWIINjRLV++XE8++WS4mwEAANAmjpgj6Ha7VVlZ6Vfu9Xp95g02V+/MmTOqra31q+dyuezevEDbIMmvHU09ha21Y+7cuTp69Kj9s2fPnoDfFwAAIFwcEQTT0tL85gJWVlaqrKzMb87e+fUk6eDBgz7lHo/HXlcwUFdddZW6dOni146W5iGeKyEhQSkpKfZPcnJywO8LAAAQLo4IgtnZ2dq6datOnjxplxUUFKhTp07Kyspqsd6IESOUkJCggoICu6y+vl6FhYUaP358m9oQHR2tzMxMrV+/3qd83bp1Sk9P50YRAAAQcRwxRzA3N1cvv/yyJk6cqAULFujYsWN6+OGHlZub67OG4OjRo3X48GF98803kqSYmBjNnz9fTzzxhHr06KGBAwdq5cqVOn78uPLy8nzeoyng7d+/Xw0NDfbzYcOG6corr5QkPf744xo5cqRmz56tnJwcFRcXa+3atVq3bl0ovgYAAICQckQQdLvd2rZtm+bMmaOJEycqPj5es2bN0uLFi32Oa2ho0NmzZ33KHn30UVmWpfz8fJWXl2vIkCHavHmzvatIk/PXB2x6vmbNGs2YMUOSdPPNN6uwsFCPPfaYVq9erd69e+uNN97wqwsAABAJHBEEpR/X69u6dWurx+zYscOvzOVyaf78+Zo/f36rdQPdQOW2227TbbfdFtCxAAAAHZkj5ggCAAAg9BzTIwgAgNP16R7X4p7CJRXV9uNSb02zj5vOATgFQRAAgCBo2knkfE1b0jVpKUgC4cDQMAAAgKHoEQQAIAiK80baj0u9NXZP4JszM5Ti7hqmVgGtIwgCABAELc39S3F3ZV4gHIuhYQAAAEMRBAEAAAxFEAQAADAUQRAAAMBQBEEAAMKkpKJaqfM2KnXeRp8FqYFQIQgCAAAYiiAIAABgKIIgAACAoVhQGgCAIOvTPY49hdEh0CMIAABgKIIgAACAoQiCAAAAhiIIAgAAGIqbRQAACKFzF44u9dY0+1j68YYToL0RBAEACKHM/B3Nlt+1eo/Pc+46RigwNAwAAGAoegQBAAih4ryR9uNSb43dE/jmzAyluLuGqVUwFUEQAIAQamnuX4q7K/MCEXIMDQMAABiKIAgAAGAogiAAAIChCIIAAACGIggCAAAYiiAIAABgKIIgAACAoQiCAAAAhmJBaQAAwqRP9zj2FEZY0SMIAABgKIIgAACAoQiCAAAAhiIIAgAAGIogCAAAYCiCIAAAgKEIggAAOFxJRbVS521U6ryNKqmoDndzEEEIggAAAIYiCAIAABiKIIgOhyESAACCgyAIAABgKIIgAACAoQiCAAAAhuoc7gYAAAB/586BLvXWNPtYkvp0jwtZmxB5CIIAADhQZv6OZsvvWr3H5/mhpRNC0BpEKoaGAQAADEWPIDqMpmEShkgAmKA4b6T9uNRbY/cEvjkzQynurmFqFSINQRAdRnPDJAyRAIhULf3HNsXdlf/0ImgYGgYAADAUPYLoMJqGSRgiAQAgOAiC6DCaGwphiAQA/qakotqeRlOcN5K/H/GTGBoGAAAwFEEQAADAUARBAAAAQxEEAQAADMXNIgAAOFyf7nGsk4p2QY8gAACAoegRBACgA2vaflNiC060HUEQHQ5DJADwN81tvymxBScCw9AwAACAoegRBACgA2vaflNiC060HUEQAIAOrKW5f2zBiUAwNAwAAGAogiAAAIChCIIAAACGIggCAAAYiiAIAIBhSiqqlTpvo1LnbfRZkBrmcUwQ9Hg8Gjt2rOLi4tSzZ0898sgjqqur+8l6lmVp6dKl6t27t2JjYzV8+HDt3r3b77i//OUvuv322xUfH6+kpCTNmjVLVVVVPsfMmDFDLpfL7+fjjz8O2ucEAABwCkcsH+P1ejVq1ChdffXVKiws1LFjxzR37lzV1NTolVdeabXusmXLtGjRIi1dulSDBg3SihUrlJWVpb1796pv376SpPr6eo0bN06StHbtWtXU1CgvL0933nmnPvroI5/z9e3bV2+99ZZPWXp6ehA/LQAA7YOdl9BWjgiCq1atUlVVld577z0lJSVJks6ePavZs2drwYIFuuKKK5qtV1tbq2effVYPPfSQHnzwQUnSLbfcov79+ys/P18rV66UJK1fv15fffWVDhw4oGuuuUaS5Ha7NW7cOO3Zs0cZGRn2OWNjY3XTTTe158cFAABwBEcMDRcVFWnMmDF2CJSknJwcNTY2asuWLS3W27Vrl6qqqpSTk2OXRUVFafLkydq0aZPP+QcNGmSHQEkaO3askpKSfI4DAAAwiSOCoMfjUVpamk9ZYmKikpOT5fF4Wq0nya9uenq6jhw5otOnT7d4fpfLpbS0NL/zf/PNN+rWrZuioqJ0/fXX6/333//J9ldVVam0tNT+KSsr+8k6AAAA4eaIoWGv16vExES/crfbrRMnTrRaLzo6WjExMX71LMuS1+tVbGxswOcfOnSohg0bpgEDBujkyZN69dVXNWnSJBUUFGjKlCkttmP58uV68sknf/qDAgAQJufeHVzqrWn2sdTylnWITI4Igk7xwAMP+Dy/7bbbNGLECC1cuLDVIDh37lzNmjXLfl5WVuYz7xAAgHDLzN/RbPldq/f4POdmE7M4YmjY7XarsrLSr9zr9frMG2yu3pkzZ1RbW+tXz+Vyye12X9T5O3XqpNtvv10HDhywh5mbk5CQoJSUFPsnOTm5xWMBAACcwhE9gs3N1ausrFRZWZnf3L7z60nSwYMHNXjwYLvc4/HY6wo2Hbdv3z6fupZl6eDBgxo7dmywPgYAAI5VnDfSflzqrbF7At+cmaEUd9cwtQrh5ogewezsbG3dulUnT560ywoKCtSpUydlZWW1WG/EiBFKSEhQQUGBXVZfX6/CwkKNHz/e5/xffvmlvv76a7ts27ZtOn78uM9x52tsbFRBQYEGDBhgh0oAADqiPt3j7J9zg1+Ku6vPazCLI4Jgbm6u4uPjNXHiRG3ZskVr1qzRww8/rNzcXJ81BEePHq1+/frZz2NiYjR//nzl5+frpZde0vbt2zV9+nQdP35ceXl59nFTpkzRgAEDdPvtt+ujjz7SO++8o3vuuUcTJkyw5/IdPnxYI0eO1GuvvaZt27Zp/fr1Gjt2rD7//HM9/fTTofsyAAAAQsQRQ8Nut1vbtm3TnDlzNHHiRMXHx2vWrFlavHixz3ENDQ06e/asT9mjjz4qy7KUn5+v8vJyDRkyRJs3b7Z3FZGkLl266OOPP9b999+v6dOnq3Pnzpo8ebJeeOEF+5j4+Hh169ZNzzzzjH744QdFRUXphhtuUFFRkb0rCQAAQCRxWZZlhbsRkaa0tFS9evXS0aNHlZKSEu7mAADgo6Si2r6LuDhvJEPCEaYtOcQRQ8MAAAAIPYIgAACAoRwxRxAAAIROn+5xLBwNSfQIAgAAGIsgCAAAYCiCIAAAgKEIggAAAIYiCAIAABiKIAhHKamoVuq8jUqdt1ElFdXhbg4AABGNIAgAAGAogiAAAIChCIIAAACGIggCAIBmMW878rHFHMLu3L9cSr01zT6WftwSCQAABA9BEGGXmb+j2fK7Vu/xec6+mAAABBdDwwAAAIaiRxBhV5w30n5c6q2xewLfnJmhFHfXMLUKAIDIRxBE2LU09y/F3ZV5gQAQYszbNgtBEAAA2Ji3bRbmCAIAABiKHkEAAGBj3rZZCIIAAMDGvG2zEAThKH26xzHvBACAEGGOIAAAgKEIggAAAIZiaBgAADSL6TqRjx5BAAAAQxEEAQDARSmpqFbqvI1KnbfRZ2cSOB9BEAAAwFAEQQAAAEMRBAEAAAzFXcMAAKDNzp0LWOqtafax1PJOJXAGgiAAAGizzPwdzZY37U3chOVnnI2hYQAAAEPRIwgAANqsOG+k/bjUW2P3BL45M0Mp7q5hahXaiiAIAADarKW5fynurswL7EAYGgYAADAUQRAAAMBQBEEAAABDMUcQAABclD7d41gmpoOiRxAhwYbkAAA4D0EQAACEBJ0CzkMQBAAAMBRzBNFu2IcSAABnIwii3bAPJQAgkE6BczsESiqq7X8/ivNG0lnQzgiCAACg3QTSKUCHQPgQBNFu2IcSABAIphKFD0EQ7YZ9KAEAgXQKMJUofAiCAACg3dAp4GwEQQAAEFZMJQofgiBCgu2HAAAtodcwfAiCAAAgJOgUcB52FgEAADAUPYIAAMAx6DUMLXoEAQAADEUQBAAAMBRBEAAAwFAEQQAAAEMRBHFRSiqqlTpvo1LnbfTZKxIAADgfQRAAAMBQLB+DNju356/UW9PsY6nlleIBALhYJRXVyszfIenHLepa+jcn0ONMRRBEmzX9Qp2vaW/IJqwDBQAIpkA7Is5Fh0XrCIIAAKBDCLQjoiV0WPgjCKLNivNG2o9LvTX2L9abMzOU4u4aplYBAIC2IgiizVrqSk9xd6WbHQDQbi6kI4IOi9YRBHFR2BMSABAqF9sRQYeFP4IgAADocALtiGjtuPNvPrnYHsaOGDIJggAAwEjcfMKC0gAAAMZyTI+gx+PRnDlztGvXLsXHx+tXv/qVnnnmGUVFRbVaz7IsLVu2TCtXrlR5ebmGDBmiF154QTfddJPPcX/5y180Z84cbdmyRV26dNHkyZO1fPlyJSQk+By3YcMGPfbYYzp48KB69+6t+fPn6+677w7653WiQLvIO2LXNwAA5wv2zSeBbrXqpH9HHREEvV6vRo0apauvvlqFhYU6duyY5s6dq5qaGr3yyiut1l22bJkWLVqkpUuXatCgQVqxYoWysrK0d+9e9e3bV5JUX1+vcePGSZLWrl2rmpoa5eXl6c4779RHH31kn2vnzp2aNGmSZs2apRdffFHbt2/XzJkzFR8frylTprTfF9DOAv2DyULRAACTnBvIgjHnMHXexoDe10n/jjoiCK5atUpVVVV67733lJSUJEk6e/asZs+erQULFuiKK65otl5tba2effZZPfTQQ3rwwQclSbfccov69++v/Px8rVy5UpK0fv16ffXVVzpw4ICuueYaSZLb7da4ceO0Z88eZWRkSJKefvpp3XjjjVq1apUkKTMzU99++60WLlzYoYNgSwEPAACYzRFBsKioSGPGjLFDoCTl5OQoNzdXW7Zs0YwZM5qtt2vXLlVVVSknJ8cui4qK0uTJk1VYWOhz/kGDBtkhUJLGjh2rpKQkbdq0SRkZGTpz5oyKi4v1b//2bz7vMW3aNP3ud7/ToUOHlJqaGpwP7FDndpEDAIC26YgbLjgiCHo8Ht1zzz0+ZYmJiUpOTpbH42m1niSlpaX5lKenp+vIkSM6ffq0YmNj5fF4/I5xuVxKS0uzz/Htt9+qvr6+2XM1vZfTgmCgQ76B/sF00pwFAAA6mgsZag43RwRBr9erxMREv3K3260TJ060Wi86OloxMTF+9SzLktfrVWxsbEDn93q9kuR3nNvtlqRW21FVVaWqqir7eVlZWYvHBlOgQ77n/kHsKH8wAQBA+3NEEOzoli9frieffDLczQAAAGgTRwRBt9utyspKv3Kv1+szb7C5emfOnFFtba1Pr6DX65XL5bJ781o7f69evexjJPkd19RT2Fo75s6dq1mzZtnPy8rK7BtQ2hNz+gAAwMVwRBA8d65ek8rKSpWVlfnN2Tu/niQdPHhQgwcPtss9Ho969+6t2NhY+7h9+/b51LUsSwcPHtTYsWMlSVdddZW6dOkij8djLzXTdK5z36s5CQkJfusRhgJz+gAAwMVwxM4i2dnZ2rp1q06ePGmXFRQUqFOnTsrKymqx3ogRI5SQkKCCggK7rL6+XoWFhRo/frzP+b/88kt9/fXXdtm2bdt0/Phx+7jo6GhlZmZq/fr1Pu+xbt06paenO+5GEQAAgIvliCCYm5ur+Ph4TZw4UVu2bNGaNWv08MMPKzc312cNwdGjR6tfv37285iYGM2fP1/5+fl66aWXtH37dk2fPl3Hjx9XXl6efdyUKVM0YMAA3X777froo4/0zjvv6J577tGECRN8hnAff/xxffrpp5o9e7Z27NihRYsWae3atcz/AwAAEckRQ8Nut1vbtm3TnDlzNHHiRMXHx2vWrFlavHixz3ENDQ06e/asT9mjjz4qy7KUn59vbzG3efNme1cRSerSpYs+/vhj3X///Zo+fbo6d+6syZMn64UXXvA5180336zCwkI99thjWr16tXr37q033nhDU6dObb8PDwAAECYuy7KscDci0pSWlqpXr146evSoUlJSwt0cAABgkLbkEEcMDQMAACD0CIIAAACGIggCAAAYiiAIAABgKIIgAACAoQiCAAAAhiIIAgAAGIogCAAAYCiCIAAAgKEIggAAAIZyxF7DkaZpP+SysrIwtwQAAJimKX805ZHWEATbQXl5uSQpIyMjzC0BAACmKi8vV2pqaqvHuCzLskLTHHPU1tZq37596tGjhzp3bp+sXVZWpoyMDO3Zs0fJycnt8h4IDNfCObgWzsL1cA6uhXOE4lqcPXtW5eXlGjhwoGJiYlo9lh7BdhATE6Nhw4aF5L2Sk5OVkpISkvdC67gWzsG1cBauh3NwLZyjva/FT/UENuFmEQAAAEMRBAEAAAxFEOygEhIStGjRIiUkJIS7KcbjWjgH18JZuB7OwbVwDqddC24WAQAAMBQ9ggAAAIYiCAIAABiKIAgAAGAogiAAAIChCIIdjMfj0dixYxUXF6eePXvqkUceUV1dXbibFfEKCgr0D//wD0pJSVFcXJyGDBmi3/zmNzr/XqvVq1erf//+iomJ0eDBg/XRRx+FqcXmOHXqlFJSUuRyufT555/7vMb1CI3/+I//0NChQxUTE6Pu3bsrOztbp0+ftl/fsGGDBg8erJiYGPXv319r1qwJY2sj14cffqgbb7xR8fHxSk5OVk5Ojr777ju/4/i9CK5vvvlGubm5GjJkiDp37qzrrruu2eMC+d4rKys1c+ZMJSUlKT4+XlOmTLH3DW4vBMEOxOv1atSoUaqrq1NhYaGWLFmi119/XXPnzg130yLe8uXL1bVrVz3//PPasGGDsrOzde+99+qpp56yj3n77bd177336o477lBRUZGGDx+uSZMmaffu3WFseeR7+umnm91YnesRGosXL9acOXN0xx13aPPmzXrttdfUp08fNTQ0SJJ27typSZMmafjw4SoqKtIdd9yhmTNnav369WFueWTZsWOHJk2apGuvvVbvvfeeXnzxRX355ZfKysryCeX8XgTfV199pY0bN6pfv3669tprmz0m0O/9jjvu0JYtW7Rq1Sq99dZbOnjwoLKzs5v9Oy5oLHQYS5YsseLi4qzjx4/bZa+99pp1ySWXWMeOHQtjyyJfeXm5X9m9995rJSQkWA0NDZZlWVb//v2t6dOn+xwzfPhwKzs7OyRtNNGBAwesuLg4a9WqVZYk649//KP9Gtej/Xk8Hqtz587Wpk2bWjwmKyvLGjFihE/Z9OnTrfT09PZunlH+5V/+xerTp4/V2Nhol23fvt2SZP3hD3+wy/i9CL6mfwMsy7J+/etfWwMGDPA7JpDvfdeuXZYka/PmzXaZx+OxXC6XtW7dunZo+Y/oEexAioqKNGbMGCUlJdllOTk5amxs1JYtW8LYssjXvXt3v7KhQ4eqqqpK1dXV+u677/TnP/9ZOTk5PsdMmzZN27Zt05kzZ0LVVKPMmTNHubm5uuaaa3zKuR6hsWbNGvXp00fZ2dnNvn7mzBkVFxdr6tSpPuXTpk3TgQMHdOjQoRC00gz19fWKj4+Xy+Wyy7p16yZJ9hQWfi/aR6dOrUepQL/3oqIiJSYmauzYsfYx11xzjYYMGaJNmzYFv+H/H0GwA/F4PEpLS/MpS0xMVHJysjweT5haZa6dO3fq5z//ueLj4+3v//zrk56errq6OpWUlISjiRFt/fr12rdvnxYuXOj3GtcjNHbv3q2BAwfqmWee0c9+9jNFRUXpF7/4hT777DNJ0rfffqv6+vpmr4Mk/t4KohkzZmj//v1auXKlKisr9d1332nBggUaOnSofvGLX0ji9yJcAv3ePR6PrrnmGp8w33Rce/6uEAQ7EK/Xq8TERL9yt9utEydOhL5BBtu5c6fefvtt5eXlSfrx2kjyuz5ut1uSuD5BVlNTo7lz52rJkiXNbtPE9QiNv/71r9qyZYt++9vfauXKlXr//fflcrmUlZWlH374gesQQrfccovee+89zZs3T4mJibrqqqv0/fffq6ioSJdccokkfi/CJdDvPVz/xhMEgTYqLS3VHXfcoczMTN1///3hbo6RnnnmGV1++eW6++67w90UozU2NurUqVNav369pkyZovHjx+vDDz+UZVl65ZVXwt08o+zatUt33XWX7r33Xm3fvl0FBQVqbGzUhAkTfG4WAc5HEOxA3G63Kisr/cq9Xq/PvEG0n5MnTyo7O1uXXXaZ3n33XXtuSNP/7M6/Pk3/E+T6BM/hw4f1/PPP68knn1RlZaVOnjypU6dOSfpxKZlTp05xPULE7Xbrsssu06BBg+yypKQkDR06VF999RXXIYTuv/9+jRo1Ss8//7wyMzM1ZcoUbdy4UV988YXefPNNSfw9FS6Bfu/h+jeeINiBpKWl+c0TqKysVFlZmd/cAwTf6dOndeutt6qyslJFRUX2RGzpb3M/zr8+Ho9HUVFR6tu3b0jbGslKSkpUV1enCRMmyO12y+126+///u8lSZmZmRozZgzXI0QGDBjQ4mu1tbW66qqr1KVLl2avg+Q/ZwoXbv/+/RoyZIhPWUpKirp3765vv/1WEn9PhUug33taWpoOHjzotz5tc/cHBBNBsAPJzs7W1q1bdfLkSbusoKBAnTp1UlZWVvgaZoCzZ88qJydHBw4c0Mcff6yf//znPq/37dtX/fv3V0FBgU/5unXrNHr0aEVFRYWyuRFtyJAhKi4u9vl54YUXJEmrVq3SypUruR4hcuutt+r48ePau3evXXb8+HF98cUXuv766xUdHa3MzEy/NQPXrVun9PR0paamhrbBEezKK6/UF1984VN2+PBhVVRU2N8zvxfhEej3np2dLa/Xq23bttnH/PnPf9Z///d/a/z48e3XwHZbmAZBd+LECSs5Odn65S9/aW3evNn6zW9+YyUmJlr33XdfuJsW8e69915LkvX8889bn376qc9PbW2tZVmWtXbtWsvlclkLFy60iouLrdzcXKtz587Wrl27wtz6yFdcXOy3jiDXo/01NDRYw4YNs6666irr7bfftj744APrpptusi677DKrrKzMsizL+q//+i/rkksusf71X//VKi4uthYuXGi5XC7rnXfeCXPrI8uLL75oSbLuv/9+6/e//7319ttvW9ddd511+eWXWxUVFfZx/F4EX3V1tVVQUGAVFBRYI0eOtHr16mU//+GHHyzLCvx7HzdunNWrVy/rnXfesT788ENr4MCB1uDBg636+vp2az9BsIPZv3+/NXr0aCs2Ntb62c9+ZuXl5VlnzpwJd7Mi3pVXXmlJavanpKTEPu6NN96w+vXrZ0VFRVkDBw60NmzYEL5GG6S5IGhZXI9QKC8vt/7pn/7J6tatmxUbG2tlZWVZX331lc8xH3zwgTVw4EArKirK6tevn7V69eowtTZyNTY2Wq+++qo1aNAgKy4uzurZs6c1adIk68CBA37H8nsRXCUlJS3++1BcXGwfF8j3fvLkSeuee+6xEhMTrUsvvdSaPHlyu28Y4bKs8wajAQAAYATmCAIAABiKIAgAAGAogiAAAIChCIIAAACGIggCAAAYiiAIAABgKIIgAACAoQiCAAAAhiIIAgAAGIogCAAAYCiCIAAAgKEIggDgAJ999plcLpfWrVtnl1VUVKhfv3669dZb1dDQEMbWAYhULsuyrHA3AgAgTZgwQUeOHNH//M//qK6uTqNGjdLp06f1hz/8QZdeemm4mwcgAhEEAcAh/vSnP+mGG27QO++8o8LCQu3atUu7d+9WcnJyuJsGIEIRBAHAQSZOnKjf//736tKli3bu3Knrrrsu3E0CEMGYIwgADtKvXz/V1NTooYceIgQCaHf0CAKAQ/z2t7/VzJkzNXjwYHm9Xh08eFCdO3cOd7MARDB6BAHAAYqLi3XvvffqpZde0n/+53/q0KFDWrNmTbibBSDC0SMIAGF24MABjRgxQnfffbeWL18uSbrzzjv1ySef6Ouvv1ZUVFSYWwggUhEEASCMfvjhB910000aPHiw3n33XXXq9ONAzYEDB3Tdddfp5Zdf1uzZs8PcSgCRiiAIAABgKOYIAgAAGIogCAAAYCiCIAAAgKEIggAAAIYiCAIAABiKIAgAAGAogiAAAIChCIIAAACGIggCAAAYiiAIAABgKIIgAACAoQiCAAAAhiIIAgAAGOr/AeXnziW+z8noAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "hl.plot1d(p1d, crosses=True)\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('PDF');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The difference between `h1d` and `p1d` here is simply a scalar factor; `p1d` represents the PDF $p(x)$. We can compare the integrals of each histogram:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hist(with value 19986.0)\n", "Hist(with value 1.0)\n" ] } ], "source": [ "print(h1d.integrate())\n", "print(p1d.integrate())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that integrating `p1d` yields a value of 1. Notice also that the result of the integral is still a `Hist` instance, similar to certain dimensionality-agnostic numpy operations which yield 0-dimensional `ndarray` instances. This generality is useful because, as we will see below, integration and normalization can be performed along specified axes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also compute the probability mass function(PMF) by normalizing such that the sum, rather than integral, will be unity:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Hist(50 bins in [0.0,100.0], with sum 1.0, 1 empty bins, and 0 non-finite values)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pmf1d = h1d.normalize(integrate=False)\n", "pmf1d" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So while the value for each bin in `p1d` represents the probability density across that bin, $p(x)$, the values of `pmf1d` represent the total probability within each bin, $\\text{pmf}(i)=\\int_{x_i}^{x_{i+1}}p(x)\\,dx$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the normalized histogram is a decent representation of the underlying distribution:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n", " xys = np.asarray(xys)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "x = np.linspace(0, 100, 300)\n", "ax.plot(x, pdf1d(x), 'k:', label='True PDF')\n", "hl.plot1d(p1d, crosses=True, label='50 bins')\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('PDF')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PDF Modeling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We might be interested in inferring a smooth PDF given a histogram of some real(in this case, \"real\") data. One simple solution is to fit a spline:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "s1d = p1d.spline_fit()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n", " xys = np.asarray(xys)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "x = np.linspace(0, 100, 300)\n", "ax.plot(x, pdf1d(x), 'k:', label='True PDF')\n", "hl.plot1d(p1d, crosses=True, label='50 bins')\n", "ax.plot(x, s1d(x), label='Spline Fit')\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('PDF')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is `s1d`?" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "histlite.SplineFit" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(s1d)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "histlite spline fits are thin wrappers around `scipy.interpolate` objects. In this case, we have a `UnivariateSpline`:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s1d.spline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One nice feature of this wrapper is that it is readily interoperable with ordinary `Hist` objects:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n", " xys = np.asarray(xys)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "hl.plot1d(s1d.eval(bins=p1d.bins) / p1d, crosses=True)\n", "ax.axhline(1, color='k', ls=':', zorder=-1)\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('spline/hist');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It can sometimes be convenient to fit the spline in log-value space, which can be very handy e.g. when we know the underlying function is strictly positive. Meanwhile, we also have access to the constructor kwargs for the internally-used `scipy.interpolate` object:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "s1d_pos = p1d.spline_fit(log=True, s=30)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n", " xys = np.asarray(xys)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "x = np.linspace(0, 100, 300)\n", "ax.plot(x, pdf1d(x), 'k:', label='True PDF')\n", "hl.plot1d(p1d, crosses=True, label='50 bins')\n", "ax.plot(x, s1d_pos(x), label='Spline Fit(log-value fit)')\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('PDF')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We might, however, notice(or perhaps know *a priori*) that the function is in fact a combination of three Gaussians. Then we can perform a fit to an analytic model:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "def model_p1d(x, m0, m1, m2, s0, s1, s2, f0, f1):\n", " f2 = 1 - f0 - f1\n", " pdf0 = f0 * stats.norm.pdf(x, m0, s0)\n", " pdf1 = f1 * stats.norm.pdf(x, m1, s1)\n", " pdf2 = f2 * stats.norm.pdf(x, m2, s2)\n", " return pdf0 + pdf1 + pdf2" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([19.70170103, 32.76340277, 60.96181126, 4.83091852, 9.26921554,\n", " 12.88940782, 0.16090333, 0.36418666])" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "params1d, cov = p1d.curve_fit(model_p1d, p0=(20, 40, 60, 5, 5, 5, .3, .3))\n", "params1d" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How do these compare with the true values?" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[19.70170103 32.76340277 60.96181126 4.83091852 9.26921554 12.88940782\n", " 0.16090333 0.36418666]\n", "[20. 33. 60. 5. 8. 13. 0.2 0.3]\n", "[0.98508505 0.99283039 1.01603019 0.9661837 1.15865194 0.99149291\n", " 0.80451667 1.21395554]\n" ] } ], "source": [ "print(params1d)\n", "true_params1d = np.r_[props1d['loc'], props1d['scale'], props1d['norm'][:-1]]\n", "print(true_params1d)\n", "print(params1d / true_params1d)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And how does the model fit actually look?" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n", " xys = np.asarray(xys)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "x = np.linspace(0, 100, 300)\n", "ax.plot(x, pdf1d(x), 'k:', label='True PDF')\n", "hl.plot1d(p1d, crosses=True, label='50 bins')\n", "ax.plot(x, model_p1d(x, *params1d), label='Model Fit')\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('PDF')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, note that we can often get a reasonable representation of a distribution using a sort of approximate KDE provided by histlite:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Hist(1000 bins in [2.820370949977928,106.97260109208092], with sum 9.601330654520044, 0 empty bins, and 0 non-finite values)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# kernel expressed as fraction of axis range\n", "k1d = hl.kde(X, kernel=.02)\n", "k1d" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n", " xys = np.asarray(xys)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "x = np.linspace(0, 100, 300)\n", "ax.plot(x, pdf1d(x), 'k:', label='True PDF')\n", "hl.plot1d(p1d, crosses=True, label='50 bins')\n", "hl.plot1d(k1d, label='KDE')\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('PDF')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The approximate KDE implemented by histlite is achieved by starting with a densely binned histogram and then using `scipy.ndimage` to apply a Gaussian smoothing with a kernel $\\sigma$ expressed as a percent of the axis range — and then finally (by default) normalized to integrate to unity." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is up to you, of course, to determine the best way to model your distributions. Let's wrap up this section by comparing the various models we came up with — by the way, notice that `Hist` instances are callable, accepting one positional argument per dimension, returning the value of the corresponding bin(s):" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mike/.local/lib/python3.8/site-packages/matplotlib/axes/_base.py:2283: UserWarning: Warning: converting a masked element to nan.\n", " xys = np.asarray(xys)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax, rax) = plt.subplots(2, 1, figsize=(6,5), sharex=True, gridspec_kw=dict(height_ratios=[2,1]))\n", "x = np.linspace(0, 100, 300)\n", "\n", "# with multiple axes in play, we need to specify ax(so, not rax) here\n", "hl.plot1d(ax, p1d, color='k', crosses=True, label='50 bins')\n", "ax.plot(x, s1d(x), label='Spline Fit')\n", "ax.plot(x, s1d_pos(x), label='Spline Fit(log-value fit)')\n", "ax.plot(x, model_p1d(x, *params1d), label='Model Fit')\n", "ax.plot(x, k1d(x), label='KDE')\n", "ax.plot(x, pdf1d(x), 'k:', label='True PDF')\n", "\n", "rax.plot(x, s1d(x) / pdf1d(x))\n", "rax.plot(x, model_p1d(x, *params1d) / pdf1d(x))\n", "rax.plot(x, k1d(x) / pdf1d(x))\n", "rax.axhline(1, color='k', ls=':', zorder=-1)\n", "\n", "ax.legend(ncol=2)\n", "ax.set_ylim(-0.001, .035)\n", "rax.set_ylim(.5, 1.5)\n", "ax.set_ylabel('PDF')\n", "rax.set_xlabel('$x$')\n", "rax.set_ylabel(r'ratio wrt true');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PDF Sampling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For many applications, it is useful to be able to randomly sample from a histogram. You may specify a `seed` for the random number generator(this uses a local random state and does not affect the behavior of `np.random.*` functions). The histogram need not, but may, already be normalized in some way:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[array([36.83838903, 59.370439 , 2.4089045 , 31.75623487, 20.05477519,\n", " 19.34093502, 22.8346096 , 33.11737966, 34.28077388, 44.39620298])]\n", "[array([36.83838903, 59.370439 , 2.4089045 , 31.75623487, 20.05477519,\n", " 19.34093502, 22.8346096 , 33.11737966, 34.28077388, 44.39620298])]\n", "[array([36.83838903, 59.370439 , 2.4089045 , 31.75623487, 20.05477519,\n", " 19.34093502, 22.8346096 , 33.11737966, 34.28077388, 44.39620298])]\n" ] } ], "source": [ "N, seed = 10, 1\n", "print(h1d.sample(N, seed=seed))\n", "print(p1d.sample(N, seed=seed))\n", "print(pmf1d.sample(N, seed=seed))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you already have a `np.random.RandomState` instance, it can also be used:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[array([36.83838903, 59.370439 , 2.4089045 , 31.75623487, 20.05477519,\n", " 19.34093502, 22.8346096 , 33.11737966, 34.28077388, 44.39620298])]\n" ] } ], "source": [ "random = np.random.RandomState(seed)\n", "print(h1d.sample(N, random=random))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that, similar to `Hist.bins`, the return here is a sequence; in the case of higher dimensionality histograms, the result is one array per dimension." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At present, there is no implementation for randomly sampling directly from a `SplineFit`. However, sampling is of course possible after evaluating the spline on a grid:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[array([36.74191945, 58.16852195, 2.42044522, 29.98781174, 21.60273876,\n", " 18.76704675, 23.64173048, 32.55586898, 35.51403869, 44.71981015])]\n" ] } ], "source": [ "print(s1d_pos.eval(bins=1000).sample(N, seed=seed))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And of course sampling also works for the densely binned pseudo-KDE:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[array([36.81765802, 58.19657229, 3.1541218 , 30.09556091, 21.57062485,\n", " 18.72134062, 23.59012797, 32.56194533, 35.53879283, 44.81435241])]\n" ] } ], "source": [ "print(k1d.sample(N, seed=seed))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may have noticed that the random samples are very similar too each other, even though the details of the distributions differ, as long as the same random state is used. This is because, internally, [inverse transform sampling](https://en.wikipedia.org/wiki/Inverse_transform_sampling) is used, with only a single `random.uniform(0, 1, N)` call driving the randomness. In this case, all the CDFs are very similar." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Speaking of CDFs, these are straightforward to compute and plot as well:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "hl.plot1d(pmf1d.cumsum(), color='k', label='50 bins')\n", "hl.plot1d(k1d.cumsum(normalize=True), label='KDE')\n", "ax.set_xlabel(r'$x$')\n", "ax.set_ylabel('CDF')\n", "ax.legend();" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from importlib import reload\n", "reload(hl)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2D Histograms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "histlite provides all of the above functionality for 2D histograms — and then some! Let's walk through each feature, using an 2D elliptical Gaussian as our example:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "np.random.seed(1)\n", "N = 10000\n", "X0 = np.random.normal(0, np.exp(1), N)\n", "Y0 = np.random.normal(0, 1, N)\n", "theta = np.radians(30)\n", "X = X0 * np.cos(theta) - Y0 * np.sin(theta)\n", "Y = X0 * np.sin(theta) + Y0 * np.cos(theta)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Hist(50 bins in [-6.0,6.0], 50 bins in [-6.0,6.0], with sum 9876.0, 1382 empty bins, and 0 non-finite values)" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h2d = hl.hist((X, Y), bins=50, range=((-6,6), (-6,6)))\n", "h2d" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "hl.plot2d(h2d, cbar=True, clabel='counts per bin')\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$y$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Joint and Conditional PDFs**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can compute the joint PDF $p(x,y)$:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "p2d = h2d.normalize()" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "hl.plot2d(p2d, cbar=True, clabel='$p(x,y)$')\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$y$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or the joint PMF:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "pmf2d = p2d.normalize(integrate=False)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "hl.plot2d(pmf2d, cbar=True, clabel='$\\mathsf{pmf}(x,y)$')\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$y$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For multi-dimensional histograms, we can also work with conditional PDFs:" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10,4))\n", "hl.plot2d(ax1, h2d.normalize(0), cbar=True, vmax=.5, clabel='$p(x|y)$')\n", "hl.plot2d(ax2, h2d.normalize(1), cbar=True, vmax=.5, clabel='$p(y|x)$')\n", "for ax in (ax1, ax2):\n", " ax.set_xlabel('$x$')\n", " ax.set_ylabel('$y$')\n", "plt.tight_layout();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Depending on the application, the presence of empty bins in $p(x|y)$ may be a problem. One way to address these is with the `to_finite()` method:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(15,4))\n", "hl.plot2d(ax1, h2d.normalize(0).to_finite(), cbar=True, vmax=.5,\n", " clabel='$p(x|y)$ (nan $\\to$ 0)')\n", "hl.plot2d(ax2, h2d.normalize(0).to_finite(nan=np.min), cbar=True, vmax=.5,\n", " clabel='$p(x|y)$ (nan $\\to$ min of finite values)')\n", "hl.plot2d(ax3, h2d.normalize(0).to_finite(nan=np.mean), cbar=True, vmax=.5,\n", " clabel='$p(x|y)$ (nan $\\to$ mean of finite values)')\n", "for ax in (ax1, ax2, ax3):\n", " ax.set_xlabel('$x$')\n", " ax.set_ylabel('$y$')\n", "plt.tight_layout();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatively, if you are sure you know what you're doing, you can modify the values directly:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "p2d_x_y = h2d.normalize(0)\n", "p2d_x_y.values[~np.isfinite(p2d_x_y.values)] = 0.2\n", "hl.plot2d(p2d_x_y, cbar=True, vmax=.5,\n", " clabel='$p(x|y)$ (nan $\\to$ 0.2)')\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$y$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Modeling**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have spline, curve fitting, and KDE here as well. Here's a spline fit:" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "s2d = p2d.spline_fit(s=.03, kx=2, ky=2)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "hl.plot2d(s2d.eval(bins=200), cbar=True, clabel='$p(x,y)$: spline')\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$y$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "KDE:" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "k2d = hl.kde((X,Y), range=p2d.range, kernel=.03)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "hl.plot2d(k2d, cbar=True, clabel='$p(x,y)$: spline')\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$y$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Analytical model:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "def model_p2d(XY, loc1, scale1, loc2, scale2, theta):\n", " X, Y = XY\n", " X0 = X * np.cos(theta) + Y * np.sin(theta)\n", " Y0 = -X * np.sin(theta) + Y * np.cos(theta)\n", " return stats.norm.pdf(X0, loc1, scale1) * stats.norm.pdf(Y0, loc2, scale2)" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.09721215, 2.64869243, 0.01828913, 0.99518638, 0.5387843 ])" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "params2d, cov = p2d.curve_fit(model_p2d, p0=(0, 3, 0, 1, np.radians(10)))\n", "params2d" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "30.870066424450698" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.degrees(params2d[-1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now might be a good time to point out that we can also construct a histogram from a callable function. Let's try it with this model, and then plot it:" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "h_model_p2d = hl.hist_from_eval(\n", " (lambda x, y: model_p2d((x,y), *params2d)),\n", " vectorize=False, bins=k2d.bins)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "hl.plot2d(h_model_p2d, cbar=True, clabel='$p(x,y)$: model fit')\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$y$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use this to plot the \"truth\" as well:" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "h_truth_p2d = hl.hist_from_eval(\n", " (lambda x, y: model_p2d((x,y), 0, np.exp(1), 0, 1, np.radians(30))),\n", " vectorize=False, bins=k2d.bins)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "hl.plot2d(h_truth_p2d, cbar=True, clabel='$p(x,y)$: truth')\n", "ax.set_xlabel('$x$')\n", "ax.set_ylabel('$y$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's sum this up by plotting the various parameterizations:" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(2, 3, figsize=(15, 8))\n", "axs = np.ravel(axs)\n", "kw = dict(cbar=True, vmax=.06)\n", "bins = p2d.bins\n", "hl.plot2d(axs[0], p2d,\n", " clabel='$p(x,y)$: hist', **kw)\n", "hl.plot2d(axs[1], k2d,\n", " clabel='$p(x,y)$: KDE', **kw)\n", "hl.plot2d(axs[3], s2d.eval(bins=200),\n", " clabel='$p(x,y)$: spline fit', **kw)\n", "hl.plot2d(axs[4], h_model_p2d,\n", " clabel='$p(x,y)$: model fit', **kw)\n", "hl.plot2d(axs[5], h_truth_p2d,\n", " clabel='$p(x,y)$: truth', **kw)\n", "for ax in axs:\n", " ax.set_xlabel(r'$x$')\n", " ax.set_ylabel(r'$y$')\n", "axs[2].set_visible(False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and their ratios with respect to the truth:" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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qJLGe0b+nWO9y+58sz0vj3i6nnNZ99KpYT73yHrHuqd4v1s0mOfESAOqHnS/WHdfcp95GHPuyOy1dHwBq6+TEzZicfmLdXb1PrBs5x3nPx5VkeT7+MAI4XomNm9pT4aT/US97dfpIsZ7+1gKx/k3xh2K9enu1WO/Uu5M69uRfjBLrP3lyhlj/6Vx57G/fl9Oh+2SnqGMbzXJKs8etpOMGkavBJdYbyveI9eNS5CTtq06Se0+sj/cT7SJHarp8XxlyYrbpkZ8nX8FDsVmd5Tl1ypLHUFKSHU1KyrBHfl4BwGiSe4mh3UZLSdYSmrX0ZB/UVGenMkaMkijta2yPkoCtPD5TSY42YryTps04OUG7rdhD7cfFLxER+c0wDBgOi43bYOMmIiJiD7VfVAVe1dbWIjc3F4Zh4IsvvrB7OkREUcfhdAT0Q+GPPZSIqH2xh9ovqp7N++67Dy6XvlsIERHZp7CwEDk5OXjooYfsngoJ2EOJiMIXe2hwRM1uz6WlpXjssccwf/58TJs2ze7pEBFFpcNhHYEdr1RSUoLc3Nz2mBa1EXsoEVH7Yw+1X9QsfqdPn45p06ZhwIABdk+FiChqBXSaBovHN1HosYcSEbU/9lD7RcXid+nSpfj666/x8ssvY+3atXZPhyLANCNPvWyhuS1k82irdZPPEesnX3OSWK9ZdLd6X82HmsS61VTnpqq9Yt2dkKaP/cHLYr1m4u1iPansa7H+3eDJYv34rvrYRsUOeU4fvijX8wrE+s4eZ4n18toadexB3eR5eb5bI9drq8R6TOE4r1psU/u8vTuchuXjj6wmW1JoRXoP/dPVJ6qXZX3yjFhf/L8viPWSaj0ZXlQqJ8wDwHGf7BTr0/4sJ9E+Nf1msX6NktDcLV1JxwVgxjSL9bReOWJ9QPfdYt2pBO1kxunvAZn95ARlR5z8nhSzf5tYL8juL9YrG5SEXwAuj5wc7U7rKtZj8weJdWfWAbFuNst9EtATpZGsJEorqcdQUqChJBUDALQEZeXqhjKGdn01HdoHLVkZSmK2oSU0mwEcoaklTcf4/7g9ce1zxgT2UPtF/OK3rq4OM2bMwNy5c5GWpn/APVpNTQ1qav7zgbS8vLy9pkdEFF0C2GVLPf8I2Y49lIgohNhDbRfxi9/Zs2ejS5cuuOaaa/y+zYIFC3Dvvfe246yIiKKTwzDgsLgLloOnaQhb7KFERKHDHmq/iF78bt++HfPnz8err76K6urDJ6Cvra1t+W9tbS1SUrxPAj9jxgxMnTq15d/l5eUYMWJEaCZNREQUBthDiYioo4noxe/WrVvR1NSE8847z+uy0aNH4+STT8aqVau8LktLS/N79y4iIvoPw+mAYfF4JavXp9BgDyUiCi32UPtF9OJ32LBhWLFiRavaunXrcOutt2LhwoU46SQ59IeIiAJzOKzD4i5bPF4pLLGHEhGFFnuo/SJ68Zueno5Ro0aJlxUVFeGEE04I7YQoYkRSojMAlN//v2J92MvvWLof9/YS9bLjlG9yDtbVi/XaJjmZMfuQnH5aUqMkWwI46Zrfi/XkrXLybG3OQLHev0ZOV31qTaU69hVV74n1Q+f8Uqy/uVl+fFd17yTWX/tGTlEFgOO+el6sV6//RqxXXT1HrPf79l9eNc9uOXW7rXiahugRaT2058ne31ADwHA5TBcAsPHZZWLdcqpzAL5TEvRX3f+6WB899udifdyZ+WI9Mc6pjm3Gyu+3afndxHqPk/aJ9ZSdclp9Umc9CTfjODlZ2ZmgJPDuk9+3ExLl99TMlC7q2FpasUc524Azu7dcT+ss1g23nvZsagnDCalyPUa5vq9UZ6u05GiPS66bat6zjzHk93f1cWhzUtKeDW2uAEwttTomXqx7tFRs4WF7YhLVcduCPdR+Eb34JSKi0OIuW0RERIFhD7Vf1C1+R40aBTOQLVdERHRMhtP6LliG/gUVhRn2UCKi9sMeaj9uSiAiIiIiIqKoF3Xf/BIRUfsxHIbl4494vBIRERF7aDjg4peIiPzmcDjgsHj8kcPBnYyIiIjYQ+3HxS9RG60YfrJYH/3V6qCN0e23j1m6fkPdIbGe0LtQvU2ckjwZkyQnHsY45LTUSoecnvlxSbk6dnqC/FbUa/tGse7sIqc9O+qrxfoUObgTAHBw0OViPVHZ0PrzbnVivfZ5ObH67AQ9FbVu3E1ivcu58m22bj8g1h39T/OuJckJqm1lOANIqvzx+oWFhXA6nSguLkZxcXF7TI+iWHp2slh31ujvLRXfyCnGdlqzXU5QPnPTGrF+Yu+zxPrW/fL7PAB4UrqL9YS848R65xr5vlJ71Yr1mOQEdezELDml2REn38bTII/tVN7P4+L091QtYdhwyf1KTSSOl19rpkdOEQYAKPelJQ9r11cpqcqAnjRtaGnISmq14dZSoOUkZsDHc6h8prCa9uyTQz4Y1u2QU50bmv0fo8HdPtkH7KH24+KXiIj81pakypKSEuTm5rbHtIiIiMIee6j9uPglIiK/GYYDhsVdsLRvH4iIiDoS9lD78dkkIiIiIiKiqMdvfomIyG8Op2E9rMPi8U1ERETRiD3Uflz8EhGR/wI4XglWr09ERBSN2ENtx8UvRbVpRp5YX2huC9oYw64fHbT7smpLxUGxXlkvJzae4N6k3pdRLyeQuvZuF+sx3QeIdTMhR6zfVNRVHfuHOjmB8dWMUWL9wmY5HdSTkCrW3aV68nanPifKY6+XE2RH9JDDJrLPvV6suxLS1bFTmuQkVUBOMx3h2iLWm/d6P+fN+/QE3LYwHAGEdfA0DRQEtVVyYq8nQU4XBoDkHDm1F6X7gzGl4PK4xXJ8jPz3U14tPx8AsK9Jvk2344aI9TSXnP7rrpafJ0NJ2QUAxMhJu0a8fOYAQ0sFVp4Po1FPuTaURGTD3ayMoaQbaynJMXrKtZY8bDpD8FFbedxq+rVyN2q+scdHSrLy+NQU6GCmPSv35TblR6I9vlB+r8oeaj8ufomIyG+GI4CwDjZuIiIi9tAwwMUvERH57fBpGnx866PchoiIqKNjD7Ufn00iIiIiIiKKevzml4iI/GYEENbBrdZERETsoeGAi18iIvKbw3DAYfH4I4cWcEJERNSBsIfaj4tfIiLyG7daExERBYY91H5c/FJU005p9M2V56u3yR7eV6ynDhos1psP1Yv1pup9Yr3akE9jAwAHGuTTLvT+4nm5fsI4sZ7vkU+BZGindQAw8ZN4sf7yxQXyfTXJj7vBLZ9MYOGaXerYM4+XT3HQvX+eWHdU7pDrDfLjRv8idezGD54T6yOGTxbriTHySRGc+3eL9SqHfPolAHjgQ/k2M86QT6eR3k0+TUlKkvcpRGKb2uftnY2b7LJn4xdifYf5E/U2/SYpf/sr5feQUDg5P12sxxxXKNZr9sin6cnNkE8dBACNbvk91Z0mn3IuNm+gWHdU7pUH8HXqG43ybZcjWXmPVE4d5KuPqafL8XUbcWzl/dMpn8YJ8HFKI6un/FFOW6Re3xflrkztlFDa/Th8/L7VxxGC933l9x3jlB+JRznXkUO4eqy1TCq/sYfaj4tfIiLyn2FYP+2C9mGOiIioI2EPtR03JRAREREREVHU4ze/RETkN+6yRUREFBj2UPtx8UtERH5j4yYiIgoMe6j9uPglIiK/ORwOOCw2YqundSAiIopG7KH24+KXVNOMPLGuJShHkuOfez1o99VYdqdYj+vUWayXbK5Q7+us1Bqx7jnzcrGupR7vSDlOrHdP0BMb/zn2O7HelJgujx0rJ40meuQ36d/1PaSO7eokz7dRmW5zei+x7lRCIWIaqtSxceIEsVzb4Bbr2agT62Z8sljPqJcTnQHgwZFpYt316bNi/f96ThLr/1PYQx0j2AyH9bAO48cozcLCQjidThQXF6O4uLg9pkdRLLWbnMT/xQ/y+yYAXPyzq8T6Va+vFevPrthufWKKgalygv6wG84U69WZ/cR60oEDYv3U3hnq2J3ilajaBuUGifJ7kVNJXIZHfn885mUCI1FOe/bExIl100eKsBoLZDGR2FRSnU1lTgDUVGd1vlbnFMz0ZKv35eN3amgJ21o9iPejhDfD4ZYT0uOU36thet9Tey2Q2EPtx8UvERH5rS27bJWUlCA3N7c9pkVERBT22EPtx+/RiYiIiIiIKOrxm18iIvIbwzqIiIgCwx5qPy5+iYjIb4bhsH68UjCPVSMiIopQ7KH24+KXiIj8ZjgdcDiVEBwftyEiIuro2EPtx8UvqaIh1dlVslysN36zRr2NZ+KvxXpqkpxuHN8zX6zvrpbTjUelVKlju5OzxXo95ITCVJecaJgYqyVY6n/yrhw5adRZJyeNwimnXibGyvXtqfL9A0Cvmh/EelKMnJb6rTtTrB+ol5+PU+Mr1bHNODmluc/2dWJ9W+/RYj1vp/yacmTLydQA4E7LEeu7T7lSrF/UIKd7N+3zTqpsOlCujtsW3GWL2lvvkeeL9V9eXijWh3eT04IBwJWUItZPuPNasd7tpPfFeuUm+e8pNll+bwaAnmOGi/WkC64X69/Xu8T6kK7y4+uSpL+fp7prxbrRpKTua98sKSnQARESdQHAE6MkKys9BloCNQATymVKErN2X1qqszonwEd6s5JBraU6q6nRapZ1u/M1ssVQZ+t35GMAwyP/zWjJ2No3qIaQDm24m9Rx24I91H5c/BIRkd8MRwCNm+coJCIiYg8NA3w2iYiIiIiIKOrxm18iIvKb4QggrINbrYmIiNhDwwCfTSIi8tuR45Ws/hAREXV07KGtzZs3D7t3725V+/TTT1FXV9eqtnXrVlx/vZyXYFX0PptERBR0hsOw3rgd9gW1hNKUKVOwdetW8bLt27djypQpIZ4RERGFE/bQ1n77299ix47/hHm63W6cccYZKC0tbXW9vXv34umnnw7KmNztmaKap0ZOKk6+7E71Nu5vPhTrzVm95THO+LlYz6reJd9/Wld17EMeOXkyrXq7fAMlJTNdCSCtatJTE52GPHaT0UmsZ7ur5fuJl9NVfb11uzLkRORDLjkdtP8hOXn1+xQ5LRu7lOcPAHKPF8uV/X8i1vMP7RTrJ/1TftK/+HmVOnSJQ35NFbk2ifX/q+sh1id0rvOqGa5Gddy24C5busWLF2PatGnIz/dOgN+3bx+effZZPPPMMzbMLDwldJL/Xm+5YphYv6pQfu9M2rNRHcPctVesexLllPfuE8bL9Uny37czQ05sBwBPZk+x7kqVb9PVLb/fxSoffGOa5ERnAHDUy+/PhktJsFWShM3YBLnuK/XYavyvlpKsJTH7OGuB5TG0xOVAkqaDdC5WLdVZCcsOLuXxGb5+p4bFiWn3FcjzZzVhW7sbITXa8Litz8efsdhDWzGFF7ZUCyYufomIyG+GwwnDxwdA7TYdhaF86Nq8eTOysrJCPBsiIgon7KH24+KXiIgoQI8//jgef/xxAIcXvpdffjkSE1ufE7yhoQHbtm3DxRdfbMcUiYiI6Edc/BIRkf8cDp+7/qm3iVLdu3dHUVERAGD9+vUYMGAAsrNb784bFxeHgQMH4tprr7VjikREFC7YQ71Ie0xpe1EFAxe/RETkP4fDeiOO4sY9ceJETJw4seXfd911F/r06WPjjIiIKGyxh3oZPXo0HP/1GM8444xWNY/HYpaADxG9+F2yZAn+9re/4csvv0RlZSX69euHm2++Gddcc027bjEgIuqwHE4YTqtbrTvG8UqLFi3yqtXV1eGHH37AcccdF3Z9iT2UiCjE2ENbmTVrVsjHjOjF74IFC5CXl4f58+cjOzsb7777Lq677jqUlZXZ8mRS8Li3l4h113dy3VOzX6x/NvgKsX589SF17Ps3yaE0D54jJ3Q6IKfSNXeSk3mdrgZ17NRDcjKploa885C8JayzR/7gmtksp18DwF5Huljv2mAttbpWSZTuHq8nJ1bUK2mmTmsfwHulyQmdHsdg/UZKcmgnR7NY134Xn9/onRYJADsS5OsDwDD3PrG+t9NAsX5uZznBeWeTd8J2eYw8/zZzOAPYZSt6G/fR/vCHP+DQoUMt/efjjz/GBRdcgJqaGuTn5+Odd97BcccdZ/Ms/8PuHtr/rDFi/ZzjOov1pB1fiPW6Ne+rYzTsl1OP49LktOf4bvL7dkwX5e84IVUd23DLf4OxB+T0+dhgpuAK6bWAj6Rkh1w3Y+LlunJ9X7TEYDUl2eJcfd6X1URpq/djM4+Sjqtl5nqUC7Qz6jgdyikkADiU50RNiDa1NOtA0p6V+9JeI+Hw+2MPbYWLX4tef/11dO78nyY5ZswY7N+/HwsWLMBdd93l9RU6ERG1EY9XUj311FMoLi5u+feMGTMwaNAg3HHHHZg9ezZmzpyJl156ycYZtsYeSkQUYuyhom3btuGpp57CZ599ht27d8MwDHTt2hWnnXYarr32WvTqpX+RYFVEP5tHN+0jhg8fjpqaGhw6pH+zR0REFGxlZWXo27cvAGDXrl348ssvcf/992PChAm44447sHLlSptn2Bp7KBER2e3555/HwIEDMXfuXHz77bfo1KkTUlNTsWnTJtx3330oKCjAP/7xj6CNF9Hf/Eo++eQT9OjRA6mp+q5INTU1qKmpafl3eXl5KKZGRBTxDIcDhsWt0FavH6kSExNbesv777+PlJQUjBw5EgCQnp6O6mp5F9xwwh5KRNR+2ENbKy0txbXXXovTTz8df/rTnzBwYOvDvjZs2IDp06fjqquuwrBhw9C/f/82jxlVi99PPvkEL774IubPn+/zegsWLMC9994bolkREUURI4DjlYzoPV7paCNGjMADDzwAh8OBhx56COPHj4fzx2CT7777Dj16yMeThgv2UCKidsYe2spjjz2GPn364M0330RcnHduy6BBg/DWW29h+PDheOyxx/DII4+0ecyo2ZSwc+dOXHrppRg9ejRuvvlmn9edMWMGysrKWn7WrFkTolkSEUW4I8crWfqJmlbj0x/+8AeUl5fj/PPPR21tLebMmdNy2UsvvdTyLXA4Yg8lIgoB9tBWPvroI1x//fXiwveI+Ph4XH/99fjwww+DMmZUfPNbVVWF8ePHIysrCy+//PIxQzrS0tKQlpYWotl1HNVP3ynWO1072/p9ZfYT65m9C8V608cvivVenRIsjz3/FPk21W45VTDVIx8bV9Yop2T2StDPVaYlRO+rl5M7eybJ9+NW/gZ2opM6dqIS8+ioq5THSO0i1uOUhGZHrXw/AJDjlJMkPQkZYv27hmyxfnBvvVg/LiNTHbvRLcdefqvc1/HZ8ht0yhfLxXrcWderY8d2zhfrH5bICduTGz4X6/knT/K+7wbvBOhg4C5buuOPPx7ff/899u/fj6ys1qnx8+fPR9euckK63ezqod16yPeRmSh/y+HeL+9eXbdbTvsHgMbKWktzik2X389Nl5zc7PCR3g8l7dZQkpihpENDeX/UkpgPX6Z8kNRSnS3WfX4YV87HqSYoa/elXF+9H0D/Rs3qfanXt34KMENJYg4FLdXZrVygnpPBxxePhvKcG+4gnZfVx3MetFRn6W9VS6tuI/bQ1nbs2IEhQ4Yc83pDhgzBtm3bgjJmxC9+6+vrMWHCBFRXV+Ozzz5Dp076h3siImojnqbhmP574QvAr+ZuB/ZQIqIQYg9t5eDBgz4zJo5ISUlBba21jZmaiF78ulwuXHLJJdi4cSM+/vjjsD+eioiIKFywhxIRkZ1M04QRwB4VbRHRi9+bbroJb7zxBubPn4+amhqsWrWq5bLhw4cjPl7fJYiIiALQhnMUFhYWwul0ori4uNX5cCPZ0KFD8cILL2Dw4MEYMmSIzyZuGAZKSkpCODvf2EOJiEKMPdTL6NGjj3m4jUc5nCIQEb34Xb788DF2v/71r70u27p1K/Ly8kI8IyKi6GY4nDCc1hr3kWPCSkpKkJub2x7Tsk1RURGSk5Nb/j/UW7Dbgj2UiCi02ENbmzVrVsjHjOjFb7AOfCYiIj85HNaTJ6M4rGPRokUt/7948WL7JhIA9lAiohBjD23FyuK3sbExKGNG9OK3I5tm5In1heY2sf54eoFYv7Gq1PLYje8tEusp4y4V6w11cnrmwSfkdGgAWP3TO8T6ufHfiHVnT/nx/WtHlVi/qqinOra7Rk7v3HxArp/QSd4VI8+Q042NWjlFGAAOpcrzyk5SkjiVFMnYg7vFeqfEHHXseCWluamHnLDtrJHHUAKoUZeiJ90mNsrPVY0SfqrNFfHy1tSUxgPq2J12bxLr2Vm9xPpn++Sxu46cKtYP1SkPAoDDkP82Lo7dLNZ39TxbrHc5WOVVa6ytVsdtE4Z1+OR2u7F69Wrs3LkTDQ2t3zMMw8AvfvELm2YWfgb3kMO1EmOUD3rKbm/OBP0UGbFp8jtSbHKiWHckJst3pH349Kj5uDAcym56SoqsqTw+9X58MJ1a2rO1NGRDS7z1keTrM43ZwtiW6z4uU1OBFVqqc0DBzSHYG0SblvYZQTnJgXp95WQQAIAYXxfKg1i7fiC0pHXt9SwlsGup7G3FHtrKokWLcM011xzzejU1NTj//PPx0UcftXlMLn6JiMhvh0/TYHWXrejdan20tWvX4sILL0RZWZn4IZKLXyKijo09tLWpU6fC4/Hg2muvVa+zd+9enHPOOdiyZUtQxuTil4iIKAhuvPFGdOrUCc8++yyOP/54xMXp30gSERF1dL/61a9www03wO124/rrr/e6fPv27Rg7diz279+Pd999NyhjcvFLRET+MwI4XsnqbpARasOGDViyZAnOOussu6dCREThiD20lfnz5yMmJgY33ngj3G43brzxxpbLNmzYgHPOOQcAsHLlSgwaNCgoY3LxS0REfjMczgB22Yre45WO1r9/f9TU1Ng9DSIiClPsod4efPBBxMbG4pe//CVcLhemT5+OTz/9FOeffz6ysrLw7rvvonfv3kEbj4tfIiLyXxvOURjtHn74Ydxyyy0oLCxEQYEcwkdERB0Ye6ho9uzZiImJwS233IL169fj+eefR//+/fHOO+8gOzs7qGNx8UtERP7jaRpaGTJkSKtz+5aXl2Pw4MHo3r070tPTW13XMAyUlJSEeIZERBQ22ENV99xzD+Li4nDnnXfirLPOwmuvvYbU1NSgj8PFb4TSTmmkCeSURhpj2Fixvj82Q6ynl7wt1jMu8T6w/Yh8h3waiu2xA8R6l+RYsT4qVY6qb9q3Ux0bifLjOOlQmVg39svnHTvYdYhY33JAP0/ZoBj5lAH76+XTaeQ07RXrDanyaYVSm+VT6wAAXPJzZcYkiPWDSV3kMerlOW2vblKH7hSfJtZ71O4Q654U+TRE1Y3yaYWaUrPUsd35I8V6nHI6pREp8imvjH+/JdadPfqrYy/7Qf49Deh8gljvmSi/ZccnpnjXUmrVcSl4ioqKWi1+yVtSVnex3q+L9+sWAJwu+W9Mk5AlnzIJAOJS5VMXxWbI7/NGkvxeZMQo4WVOufcAgKldptblMUzlWyIzVn5v9jWG6VQ+9mmnWdJODRMIbWzt9ETqqY70vzerp1myekojTyCn6VFu4rD4vhHQ2HbSXjsWT0Pk63eqPoPabZRTkxlu788/ho/TmFHwpKamij30888/R48ePVrVDMNAdXXbT+PIxS8REfnNcDhhOHm80hGLFy+2ewpERBQh2ENb+/Wvfx3yDchc/BIRkf8czgCOV4rexk1EROQ39tBW7rnnnpCPycUvERH5j2EdREREgWEPtR0Xv0RE5DfD4YBhsRFbvT4REVE0Yg+1Hxe/RETkPyOAXbaM6N1li4iIyG/sobbj4jfKfH/r5WK9z8MviHXPt/9S76u560Cx/gPkZM3uTjktOCa7h1ivStNPWD3g+0/E+swd8n3NPUHeKpbbVC8PUF+jjr0jp0is94yVk5K3JvUR63nffiTWh/QcrI7t3P29WE/Ols8Z6o7PEevxSqpztZGkjn3QLScbdk2QU0MdbjmZ0ZOYLtaPr/lBHfvDA53Fevd0Oam1ok5+rdU1W09nTKzfL9Z3O9LFepe1r4p1z2n/I8/JrSd0jq+Tk7HrXn9UrCddO1u9L6JwlZYrp/R3TpLTjQ23kgwfI78XOZP1U2E4O8ljODvJCfBGgvweacQqCc0+kmi1NGbTIX/0spx26ytpWkunVuerpP0HEvaspTorj1t7PrQFgs9EZ+Uyj5IL7PHI78/au7ZydZ8cSpaPO4jpzdq8tLo2J19J2hr1Yai/pyCmKKuDK4nSHvl1DrdwpgipRlGBi18iIvKfYfj8wK/ehoiIqKNjD7UdF79EROQ/wxFA4+44xys999xzcDgcuOKKK1rV//a3v8Hj8eDKK6+0aWZERGQ79lDbcfFLRER+Mw2H790Oldt0FFdffTViYmK8Fr/XXHMNF79ERB0ce6hvodiAzMUvERH5j1utfVqxYgUMYRe1999/H2YQj/EjIqIIxB7qUyg2IHPxS0RE/jMM68cfdaDjlc466yyxfuaZZ4Z4JkREFHbYQ30KxQZkLn7D3DQjT6wvNLeJdS3VueLhW8V62pCh6tjx/U8T619/s1us/3VXtVifebycDr2jRkn0BNC550ixfqrzoFivSE4T61nJcuqxmaW/9HOVBN59yblivZepJCv3lT/sNvlI//WkZ4j1zBh5q9/BJjnRsMmTKNY7xetvoGmGnMBomvLYzR75vpLr5PTkbXHy8wcAZ6TJY395QE77HC4HtQIp8vW3HtRTG52G/Pr0eOTn1jF0tFh/5t/y6+bahE3q2DGF48R64s9uUm8jqVl0t1ft4AE90ZwolBJT5TTmWC1yVvmWw5Egp7+badobAmDEy4nLzgw5Kd9QEqXV5OHYeHVsM0a+TE2BVu9JEUDqsUpLXDaUuGdfKddW05vVseUxTB8LAe2zsUe5IJipzppg3Vcw9xzRnkH1TzKQFGgt1Vy7fgDR4uprR2EoCc6Gq0G4bqPl+VDbhWIDMhe/RETkP4cBOKx+sO44W63dbjdWr16NnTt3oqHB+wMVj/klIurA2ENtx8UvERH5jWEdurVr1+LCCy9EWVmZ+C2NYRhc/BIRdWDsob6FYgMyF79ERGRBAGEd6BiN+8Ybb0SnTp3w7LPP4vjjj0dcXJzdUyIiorDCHqoJ1QZkLn6JiMh/TKpUbdiwAUuWLFGPWSIiog6OPVQVqg3IXPwSEZH/2LhV/fv3R00Ng8aIiEjBHqoK1QZkLn7DnJbq3PTZy2I97tTJYj0+XU7bdAwZpY7t+nKZWM/rdrpY/2lXOanPbKoX6z2S9C06mZWbxfp5PbrIN3BVynUlVdN5SE4kBgB4XPKclFRnLdEzBXKq4B6PnHgJAN3cB5QpyYnEacr74SFDTiyNNeXHBshphwAAJYExMUZOlP68IV2sxzvlROfD5OfkhORasd7kkNNd4xrk10G/io3qyGe+IQdJ/L/Lh4v12F55Yv2a+H1iPaaTnOjsS1xmd0vXT7vm9161mp07gdsesTw2Be7hhx/GLbfcgsLCQhQUFNg9nbCRmim/VziUBFlPrHx9Z7qc0BwTqyQ0AzDilGTlRPkMAR6L6bFmjHz/AGDGpyi3UVKglQ+4hpaC6ysdt73PKe0rcTmI6c3i9W08XXYocofcSjx0IKnRTmXCaqqzcj/a36ov2u/VdMp/r1aTugHApTwp2uOOV/5mjFrvz17GoSp1XGofodqAzMUvERH5zTSMAMI6ojepcsiQIa1OA1JeXo7Bgweje/fuSE9Pb3VdwzBQUlIS4hkSEVG4YA/VhWoDMhe/RETkP+6y1UpRUVFA58AkIqIOiD20FTs2IHPxS0RE/jMMn7s8qreJUosXL7Z7CkREFCnYQ1uxYwMyF79EROQ/brVWTZkyBXfddRfy8/O9Ltu+fTvuvfdePPPMMzbMjIiIwgJ7aCt2bECO3meTiIiCzjQcAf10BIsXL0ZFRYV42b59+/Dss8+GeEZERBRO2EN1U6ZMwdatW8XLtm/fjilTpgRlHH7zGwaqn75TvazTtbPFuusH+cWh5SeXnHWLWN+0XU7TBYCr8oeI9Ruf/lKsP33NiWK9U4KcVLxhj5yeDABjTHleu83jxHpKvPzGcLBJTvbrkp6rjv3SN3Jq78QBcnJnotkk1nfUywnGvR1V6tiNydliXUtp9iipicluOWlaTeEEYLjlMfZBTgrv7JSvX9RZHsPtlBNOAcCtpTk2y0mqW6vl59xpyL+jVQ391LFXXiYnRO9Olf+amqr2ivW9niSxrr/SgueN7t5/q/uU1wC1L233rc2bNyMrS04pjxa5J56NmJTOXvX+x2WK1++UYDEVOD5ZvrqPD4amU34f9sTJ7xVw6Gn84v3H6Gct0FKd3Q75fVtNtVUen9Op7ypoeOR0fS052vKHa1/PuZbyq4X2ag9bSyQOYA9Jh5JjrD3nVtOQD99GvlSbr/p8KE+tEUjaszK2NleH9ssw9bM1WH1NmRb/xtw+Hrd2mfZJx6Gc6aNpy7+9a/uUs4hQu1m8eDGmTZsm7j11ZANyMPae4uKXiIj8ZxiAw+oH5eg9Xunxxx/H448/DuDwwvfyyy9HYmLrU/U0NDRg27ZtuPjii+2YIhERhQv2UJ9CsQGZi18iIvIfj1dqpXv37igqKgIArF+/HgMGDEB2dus9OOLi4jBw4EBce+21dkyRiIjCBXtoK3ZsQObil4iI/MfG3crEiRMxceLEln/ffffd4i5bRERE7KGt2bEBmYtfIiLyHxu3atGiRXZPgYiIwhl7aCt2bEDm4peIiPxmGoblcBwtACfarFy58pjXOfPMM0MwEyIiCkfsobpQbUDm4jcMaInOAFD30v1iPenS34r1j7+Xk+xOSZWTlU/ZX6KOPfoZOeV3xfUF8g2MOrFcWpco1nPT9PTfvQnDxHqXGDlV0FmzS6wnKanOB5v1+MBLj/dOKwUAwy0nDDsaasR6HuS5Gs16Cm9cs56ALXE2HhTru5Em1rs65OsDgJkg/77TlGAGo7lerO9qln+v3RMa1bFjlGRiT5yc7lpQ/4N8/dQcsT4gYbM69oJtvcX6r7utE+s/dC4U67mZcnqsu/RjdWxnwRnqZZK38uSxJ/zwtVdt586dQM+elu4/mpWWluLKK69EVVUVunfvjhdeeAHdu3cP6hijRo2CYRgwj4px/e/wDrdbT02NdJdPKEB6TjevelaynIjcOUlOPTZc+nuFxIyR7wcA4FTSmJXEWdOpfCxSkvJN7f6hp+trCcNWw3zdHv0WTu3xwWKadQAJwx5lXlrCsFVGIJNS042tpkDrj0FLStbOpKDej/a6CeD5UxOzLaaBw8fZAwyP/Pi02apnnVBes05fC0VDnq+jVk5q9uz4Rqwf+NI77bmqWj8bSkcUih4aqg3IEb/4LS0txfTp0/Hpp58iNTUVV155JWbPno24OL0hERFRgCJ0l60bbrgBv/nNbzB58mQ88sgjKC4uxvPPPx/UMb766iuvWmVlJd555x28/PLLeOKJJ4I6XjCwhxIRhRB7qCpUG5AjevFbWVmJMWPGoF+/fnjllVewa9cuzJgxA3V1dXj00Uftnh4RUfQxDOunXQjwG58tW7bgD3/4A1atWoX169ejoKAA69ev97resRZwe/bswcaNG3HhhRcCAK699lr87ne/g2ma6mkVAlFYKH8zP2rUKCQlJeGJJ57A6NGjgzZeW7GHEhGFGHuoKlQbkC0vfhsbGxEfr++uGkoLFy5ETU0NXn31VWRmZgIAXC4XbrrpJsycOTPoX8cTEXV4IdxqvWHDBixbtgwnn3wyPB4PPB7vXdz8WcDt3LkTPXv2bGnSKSkpSEpKwt69e9GlS5eA5mbVyJEj8dBDD7GHEhF1ZOyhqlBtQLb8bBYUFGDJkiVtHjgY3nrrLZx99tktTRsALrnkEng8HixfvtzGmRERRSfTcAT0E4jzzz8fZWVlWLp0KU444QTxOkcv4M455xxMmTIF8+bNw8KFC/HDD/Kx4Xb45z//iczMTPZQIqIOjD00MCNHjsSbb74ZlPuy/GxedtlluPLKK3HmmWdi7dq1QZlEoEpLS1FQ0Dp8KT09Hd26dUNpaalNsyIiimbGf7Zc+/ujRp/45lDC1o7mzwIuNzcXZWVlLccR1dbWoq6uzutcgm11wQUXeP389Kc/RX5+Pv785z9j+vTp7KFERB0ae2ggjmxADgbLuz3PnTsX1113HYqLizFixAj84he/wNy5c9Gtm3fCY3urrKxEenq6Vz0jIwMHDhxQb1dTU4Oamv8k9JaXl7fH9IiI6Cj//V6blpaGtDQ5mdxfpaWlmDJlSqvafy/gunTpgoKCArzyyiuYPHkynn76aVxwwQV+fTCw4uBB7zT1hIQEnH322bjoootwzjnnAAB7KBERWRbtPfSCCy7wqjU1NWHTpk3YsWMH5s2bF5RxAgq8ys/Px9KlS/HRRx/hlltuwYABA/Cb3/wGt912W9gcy+TLggULcO+999o9jRZNVXvVy2p+erNYj//mQ7G+trKXWD85I0msO3oMUMe+44J0sW40y6c0+ndThljvmymnhlY16Ilt6dqZK5SUt31J8rFpnSt3iPVOiZ3UseFSov4VNQnyqZFqm+T76ZKqn2rCWbNbrLvTuop1wy0/UTlOeYzd9fLrAAC6Nsux/vGQT2nkqK8W672UU0JtNfPUsRtdSrJsnXx6hc/K5Leua7p8L9bLu5+sjj0jxjtgAQB+6DxcrOdAPrWV+5svxLrz+FHq2AtS+8tzOvitWB+/TT412TQjz6tWC2un1/DX4XMUWtsKfeT6I0aMaFWfNWsW7rnnnjbNx98F3MKFC3HVVVfhjjvuQPfu3YOeUtnU1ITp06ejsLAQxx13nM/rRmsPvfD4Lujew3sRX6m812ckyO9TRrNySjbtNCw+dgnUdhdUdyPUTmlk8fQsvminywnWKZAA36dBsiI493KYW3l82ruJdhoiX+E/AZ0GSRpbPTWSfv/aKX+gnFZIez1rpyFy+njc2uvTEI7x9DW2NlfD1aCObTQrpybTHp/Vvxnt+YP+OcS9e6tYP7Tuc7FevnqLV21vvf6Y24I9VOfvBuS2alPa81lnnYWvvvoKTz31FO6880489dRTeOCBB3DppZcGZXLHkpGRgepq7xd+ZWWlz6/GZ8yYgalTp7b8u7y83OsFRUREAjOAc3/+eP01a9a0+oazrVusrTj++OPx+efyB59giIuLw+WXX4633377mIvfI9hDiYg6GPZQkZUNyG0V8OK3uroan3/+OdasWdPyZGzfvh2XXXYZHn30USxcuBCDBg0K2kQlBQUFXsclVVdXo7y83Os4pqMFYzcBIqKOyANT/YbK120AoFu3bsjNzQ3qfAJdwLWHgoIC7Ngh723y39hDiYg6HvZQWSAbkANleWftK664AgMGDEBmZibGjRuHRx55BB6PB7/61a/w/vvv49///je6deuGE088Ef/85z/bYcr/MX78eLz33nuoqqpqqS1ZsgQOhwPjxo1r17GJiDoiM8Cf9hLoAq493H///Zg9eza++ELeBR5gDyUi6sjYQ33Pxd8NyG1h+ZvfTZs2Ydy4cZg1axZOOeUU9OnTx+s6//jHP3DnnXfitttuw6RJk4IxT9G0adPwpz/9CZMmTcLMmTOxa9cuFBcXY9q0aTw/IRFRO/CYh3+s3qa9jB8/HnPnzkVVVVXLcUt2LeBuv/127N+/HyeffDKysrLQpUuXlvMiAoBhGIiLi2MPJSLqoNhDdffffz9uueUWHH/88TjxxBPbbRzLi19/9/eeOHEi7r//fssTsiIjIwPvv/8+pk+fjkmTJiE1NRVTp07FnDlz2nVcIiJqf3V1dS3n9du+fTtqamqwdOlSAIePl83Ozg6rBVxRUdExG/aiRYv8ui/2UCIiaotI66H+bEAuKZGDP61oU+CVL0OGDMGyZcva6+5bDBw4EO+99167jxMM9f98WKzHDz5Vvc33Mf3EemZXOSX2ip7pYl3JzkSFU0//HdtT3tT01Ho5/feywXJib6xDTrXr7tFPpXHQLScop1Xvkm+QmieW3SnyOcj2ufVE1UYlHbFHvJw4mBQrHz2Qdkg+/YfHlaWOfSi5i1xvkOe05YCchnxagnxi8q7xqerY7hT5OY+pVh5Hgnxfzh82ivXkVO9vuI7oU/21WK/qMlSsf7Jlv1ifOkI+iXvXkuXq2I2lX4r1zJjVYj1u8m3yHWVabxJaqrOU3gwAC81tftd37tyJ53v2tDynYzFNtJzrz8ptArF3715cfPHFrWpH/r1ixQqMGjUqrBZwixcvDtp9RWIPzarbhexD3u+TiZ16i9ePUXqD0aCk5gaQ9qxepp2iQ72+nFCrpkYDeqKr8vdgNQU6ENo9ad8saX/rgXwTpfy6W324/a/RxarP1GOLKboa9W609GTAR3qzxdezOikfr3MficiWhlDmarjkszgcvkxORdbuS01OVx6f0XhIHVtLdW7cLH+mqPxW3qW2Zqf3p+TaZv0xtwV7qM6fDcjB0G6L34SEBPz0pz9tr7snIiIbtGWXrcLCQjidThQXF6O4uPiYt8vLy/PrQ0K4bASdMmUK7rrrLuTn53tdtn37dtx777145pln/Lov9lAioujDHqoL5gZkX4J7dmIiIop6gQZ1lJSUYO/evX417Ui0ePFiVFRUiJft27cPzz77bIhnRERE4YY9VDZlyhRs3Sp/m799+3ZMmTIlKONw8UtERH47stXa6k9Hoe3CuXnzZmRl6Yc8EBFR9GMP1YVqA3K77fZMRETRxzTNAI5Xit7O/fjjj+Pxxx8HcHjhe/nllyMxMbHVdRoaGrBt2zavY6+IiKhjYQ/1LRQbkLn4JSIiClD37t1RVFQEAFi/fj0GDBiA7OzWQXtxcXEYOHAgrr32WjumSEREFJbs2IDMxW8IbX/jI7HepXyPepv8y+6SLzDllF9NWql8IHvKwLPU21S75ZfH9WnbxLrbnSLWd9TLycp5zXJqNADUOuUUxISs48R6srJVbPHXcs71xAI97bmHHFqNrbVKEqEhJwKmJXQV651i5NRQAEhW0qwTOslJwlndk8W6y0wU63E/yAmIALBiv/zAR3eVU52/b5CvX5U6XKyfWLdTHbssY7BYz1GStP/fBfKJ15v3yMeKHDrudHXs9MLQnsfOH1qqczjw/Phj9TbRavz48Zg4cWLLv++66y7x3L0dQuUPQJx3b0pMzxWv3qx8BDFj5PcWo9laSuzhy5TYXiVxVkui1ev6+3l709KhgeAmREsCuXdt102nxYBmXw/Natizdn1DGcSwmtAMPRFcvS8tHdoH9WH7SqeW7kebUwCvJ+1xm07579uMkT+XOXw950rKteuQnEDtbpA/r8Ukev99O53BSdD+b+yhrdmxAZmLXyIi8tvh0zRYv020yszMxNixY3H++efjgQceQJcu8unKiIiI2ENbs2MDMgOviIjIbwzraO2VV15Bz549MWfOHPTo0QMjRozA73//e3z11Vd2T42IiMIMe2hrmZmZ+NnPfoZnnnkGDzzwQEj2nOLil4iI/PdjWIeVnyObrQsLC5GTk4OHHnrI5gcRPOPGjcMf//hHfPfddygpKcHkyZPx7rvvYsSIEejZsyduuOEGLFu2DA0N8m54RETUgbCHtmLHBmTu9kxERH5ry/FKJSUlyM2Vj/+MBoMGDcKgQYPwm9/8BgcOHMCyZcuwbNkyXHHFFWhqasLo0aNx/vnn44YbbrB7qkREZAP20NbGjRvXshF5w4YNeOONN/DGG2/gvvvuQ9euXXHuuefiggsuwE9+8hMkJCQEZUx+80tERBRkmZmZ+MUvfoEXX3wRFRUVeP3119G/f388/PDDdk+NiIgo7BzZePzxxx9jz549mDt3Lqqrq3HFFVcgKysLEyZMwBNPPNHmcfjN71H+MuAMpDtiveozDn4blPs/cOfTYv2jPbXqbS6Pk7dP1JudxPoXO+V049MGjRXrMT6SEd0ueduUp3OeWD/oSBLrjS45uVBLzwSAHofk1N4Kp3wsQHbVFrF+9aA8sb7loJ7il95JTu/slSbXHaZyX1rCo8dHUrfT+/UHANDSDpUxttfKc0rrPEQderByTIlHeQ32q5Gfc5fy+vCsK1HH9gyQ06w9r/5BrKec8TOx7t6yTqynj/q5Oram7E45VbDnbPnvuKMwEUBYR7vMJHLExMRgzJgxGDNmDBYsWGD3dEJPef/S3oXNGHnrvhkrJ7Vqia8AfCdBi9fX4n+V5Nogvri1hGZtCLePwbXWrtUdygUe5RZOH3/V2vGJ2hh6Xb7AV6KzltJsmfKa1RKMD49t8fs85fqGW0l79vU61+4rgHRq8e59fF7T/l61X5QnIU2sN8fIZ6lwpnRWx45rbhTrCft3i/VOh+SzjHjc3s+TWVsPrFOHDhh7qH+ObED+xS9+AZfLhZUrV+KNN97Aww8/3Oa9p7j4JSIiv3lM0/JpVNr7tCvhwuPxYN26dVi9ejXKy8tRX1+PrKwsDBgwAKeffrrX6RuIiKhjYQ+1LtgbkLn4JSIiv5mwvhU62tv2d999h8ceewzPP/88Kioq4HQ6kZ6ejvj4eFRVVaGurg6GYeCMM87Addddh8suuwwOB486IiLqaNhDdaHagMzFLxER+S2Q0y5E82karr/+ejz33HM47bTTcO+992LkyJEYNGgQnM7/HCaxb98+fP7553j77bdx++2347777sMzzzyDkSNH2jhzIiIKNfZQb6HegMxNz0RE5L8fz7pg5SfaN1tv2LAB77//PqZNm4ahQ4e2WvgCQOfOnTF+/Hg88sgj2LFjB373u99h27Zt9kyWiIjswx7ayvXXX49BgwahpKQE9957L9atW4eGhgZUVFRg586dqK2txd69e/HGG2+gsLAQt99+O44//nh8+umnAY/Jb36JiCgkCgsL4XQ6UVxcjOLiYrunExR/+ctfWv6/sbER8fHxPq/vdDrxi1/8or2nRUREUSYaeyhweAPycccdp15+ZAPy+PHjsWDBArzwwgvYtm1bwHtPcfF7lKtf+C1yc7LafD///qFarI+I3SvWi+rXqve1p2GiWO9eJm/xGN3jeLFesq9BrA/N0GMTH/pop1h/4Ew5eS9ZiY7uliK/zEx3qjr23oSuYn1ntZz2mZneQ6wbzXKyX49UOW3wx5mJ1QP1cgJjjlN+bp1Vu8T6jmQ5sRoA6t3pYr1vXaVYdyXLv4ueqXHynNxyMiIANBjybQ42y8/HBX+VX88fjvhCrFcUXaKOnZ+RLNa3jr1FrHdPkBMs40cNUsewqqOnOms8MOGxuBn6yPWj8RyFRysoKMC8efNw8cUX2z0VWxhxCTDi5cRWiamlG8fIGxDMGPk9Clo6ri9WU6ADYDWkRrt2ILs8agnKWsd3Ksm8TuUGbh9zks+LoPMR3ixf39fzGqR044BoZ3gwlTM8KK9bw6X0aU8Ar3Orz4eW6uzQf6tmnHymD+3v+JBHvq/9tfLjaxCSmI/olT1ArKcUyq+q9Gz5s2Jqf+/Pa459VcDf31bHDhR7aGt2bEDmbs9EROQ3q7trtey21QFcdtlluPLKK3HmmWdi7Vp9oyYREXVM7KG6goICLFmypN3H4eKXiIj8diSsw+pPRzB37lx88803yMnJwYgRI3DNNdegvLzc7mkREVGYYA/VhWoDMhe/RETkN2619i0/Px9Lly7F+++/j6+++goDBgzAnDlz0NioH3JAREQdA3uoLlQbkLn4JSIivx05XsnqT0dz1lln4auvvsL8+fPxxz/+EQUFBXjppZfsnhYREdmIPdS3UGxA5uKXiIgoiKqrq/Hee+/h/vvvx5tvvgkA2L59Oy677DKcccYZ2LBhg80zJCIiCl/tuQGZac9HcXbLh7Obd8pwXb2c5puUmCDW+2XKSWXupi7ywCeMV+fUrW6PWN+Xd5pYdykRjEUNJWJ9/cHB6tgPniyndjYnpIt1p0dONNxbp6QnO/RU0C7J8naZwlRly0+znBLoaDok1pN8JH0eMOTk4c4JSiZlnfz62J/eV6x3i9PHjqncIdbL0F2s96wqE+sHkuTr17v0xMYejfLYH1eni/WVU/LE+qGUU8V69tdvqWPvHyz/DeR3lhPBXV8uk++o6Dx1DAqSQHbB6iAbra+44gp8/vnn2LJlC0zTRHZ2Nk455RT86le/wimnnILs7Gz8/ve/x4knnoi///3vmDRpkt1TDi5XM+DyTuTXUvdj4uX0ZlNJHjZj5J5rGPJZAA5fKL/fmlqqrcUUaGWqAACHxRxjt9V0aB/X9yhja+nN2uMwPG6x7vDxPKm/P4vvA+pzG8D7iaElJWuvD+3x+Xp9aMnKSt1wy5+ZjKY6+X6U34XPefl6gQq0vwst0RkA6pzyZbWN8uOubJQf94a9tWK9ZKd8BhUAyOssf147vVe+WM8Z1E+sJ8cKz9/OnQBmqWMHjD30mKqrq/H5559jzZo1+PzzzwH8ZwPyo48+ioULF2LQoMDP7sHFLxER+c1jmpZP4WL1+pFq06ZNGDduHGbNmoVTTjkFffp4n9bsH//4B+68807cdttt0bf4JSIin9hDdaHagMzFLxER+c1tAj5Ou6jepiM4soX6WCZOnIj777+/nWdDREThhj1UF6oNyFz8EhGR37jVuu2GDBmCZcuUXfeJiChqsYfqQrUBmYFXRETkN49pwm3x50jjLiwsRE5ODh566CGbH4W9EhIS8NOf/tTuaRARUYixh7ZdWzcg85tfIiIKiZKSEuTm5to9DSIioojDHnpYWzcgc/FLRER+85jWd8HydIw9toiIiHxiD7UfF79Had68Ds1VmV71pHFDxOs3HqwS64mp6WLd88N6sX6oqx7XnbTvK7FevK5SrD/9U+9TNfnSLSVWvcw0O4n1ZuWvMKbxoFjvE2/9ZbarTj4NUpfkdHnsQ/vEuicpQ6w7aivUsdMz5ej8Ord8yoDElM5i/fZXvhHrCycNUMd2p8qnw+puKOkITXJ9zH0rxHpGF/mxAcDHxaPF+viaj8W6USMfNVG/aIFYTxheqI6dlaqfRkFS/uorYr0nT3XU7tyeAMI6LF4/Gj333HPo2rUrxo0bZ/dU2o37UA3cB717iqNePlVJrHLqItOQTxcIh3yqNtPHafO0U9aYyn0Fk3aWGe1zr7WT0vj+QOzQzo2iTEo7pZF6iiAfDOU59zjlzxvBPJzR0E43ZPmOlMfg47fkUE4TpM1Je261UyDBpZzqEQCU51alnpZJ+WUk6q+DWuUNfkOFfMqmr36Q3w/e2yCf2nPT6i3q2A018me5rgOOF+tZ3VLEelKi9/NXX7lXHbct2EPtx2N+iYjIb0fCOqz+dHRXX301xo8fj6FDh+Kll16yezpERGQD9tDAPPfcc1i+fHlQ7ouLXyIi8ltbwjo6shUrVuD111/HxIkT8eSTT9o9HSIisgF7aGCCuQGZuz0TEREFgWmaMJTdSs866ywAwLnnnhvKKREREUW8FStW4NChQ/jss8/w5JNP4tJLLw34vrj4JSIiv3lgPXyjoxyuNHHiRLz00ktITNSPQSUioo6LPVQXqg3I3O2ZiIj85vaYAf10BN988w3OPPNM7N3rHZTicrmwcOFCG2ZFREThgj1UN3HiRNTX17f7OPzm9yhbnnsdBxO90ycHF44Rr9+UKicr79grpx4XfyCn5f1j4OvqnJZnnSXW7xwnf7OwVdk8lN85Xx1DoyUip7h2ifW67P5iPc7TJNYNH8mFybHydpnaJjmRErFyqnNGo/wYjGZ9bC1pcfUu+TZjUw+I9SfO7yPff9MhdezvG+X00/QEOZnUkSyf723+dfLzcc6AHHVs1w+bxPo3aUPFetdk+e2j229PU8ewavONF4n1bR9uFes9ZwdtaFKYARx/ZHaQ45VWrVqFiRMn4uSTT8abb76JgQMHwuPxYNGiRbjvvvuwa9cuTJs2ze5pth+P+/DPfzGaG8SrGy65bmqpwEqarqnFKgNwKR8a3S4lgVe5r1iHkpJsNaLZB+2vxNa/HyUF2iflaxUtUVpL8Ta0x+0r0dlqirHF35+v37fhVhKRLSZQa69zw2n9cZsN8ucNzyH5cyoc8i/P6dTT0ePSUsV6WbW8iPnnv7aL9S2rvxDrNTu/VcfWVO/YaPk2/8308VmtTffLHqo6sgF52bJlyMlp/XnV5XLhqaeeCkoP5Te/RETkN7cZ2E9H0LlzZ6xYsQKnnHIKTjvtNMyZMwcDBgzADTfcgNNOOw1ff/213VMkIiIbsYfqVq1ahbi4OJx88snYuPHwBgyPx4Onn34affv2xfTp04MyTsQuft1uN+bNm4czzzwTnTt3RmZmJkaPHo2PP5bPSUpERG3H0zT4FhcXh8mTJ6OpqQl33303MjIysGHDBjz//PMoKCiwe3ot2EOJiEKPPVQXqg3IEbv4ra+vx/3334+ioiI8++yzeOGFF5CRkYHRo0fjgw8+sHt6RET0XwoLC5GTk4OHHnrI7qm0iyVLlqCwsBCXXnopxo4di1tvvRXr1q3Dhx9+aPfUvLCHEhFFlmjvoUBoNiBH7DG/iYmJ+P7775GR8Z9jG8eOHYvBgwfj4Ycfxpgx8nG6REQUuEDCN45cv6SkBLm58nHq0eDSSy/Fueeei0WLFuGEE04AAAwdOhTXX389tmzZElYfWNhDiYhCjz1Ut2TJEsyePRvr16/HBRdcgOOOOw5//OMf8eGHH2LAgAFBGydiF79Op7NV0z5SGzp0KLZs2WLTrIiIohvDOnSrVq3CiBEjWtWuvPJK9OzZE5MnT8bWrVuxdOlSm2bXGnsoEVHosYfqQrUBOWIXvxKXy4VVq1bhjDPOCOj2A+/5HXK7dfGqN3/5tnj9Q6ddKdZ7f7dcrD88aZxYjzmgpyn+JFt+wT+9SU4YHtMnU6ybMXKKsBKqDABwd+ou1ivd8stmb5Wc6ryvTq4PyUlRx25Wju5PjJGjFmub5aRDR6OcaOjKPk4d+5ApJ43mJMvX9yR2Euvb6uUnd9M+PbFxXL48tvPgHrH+rVv+fRd2lSfb8Obj6timR57X0An/q96mvfV7XF4o9AvxPOg/3LAevhFAXmxE+u+F7xGjR4/Gv/71L0yYMCHEM7KmrT3UEZ8ER4L3e4/pVD5qGNaOvPIo0by+vkXReomWAm01vdnp4/pOJSE6WHzdvZZaHSyGjwRj7SJtRup9WU1u9nUbjTZX5X7UBGro6eXa2SVM5fVvJsjpyYZHSZMG4GiQP+toqc7u/eXy2MrngLhE5QMQgKSsvmL9ULP8zr/509Vi/WD5d+oY0YQ9VBeqDchRtfidN28edu3ahVtvvdXn9WpqalBTU9Py7/Jy+U2AiIhaCyR8o6OEdfgycOBArFq1yu5p+MQeSkTUvthDdaHagBxWi9/q6mq/mmifPn0QFxfXqvbuu+9i1qxZuPvuu1FUVOTz9gsWLMC9997bprkSEXVEHg/gsXi8kvJlQlR4/PHHMWXKFMTHxx/zutnZ2QCAr7/+GhUVFUE/rpY9lIgovLGHBiaYG5DDavG7ZMkSXHfddce83saNG1slfq1duxaTJ0/G5ZdfjrvvvvuYt58xYwamTp3a8u/y8nJ1awMREZFm8eLFuPfee3HZZZfh4osvxkknnYTYWO/DF3744Qe89dZb+Pvf/47Vq1dj8eLFQZ8LeygREUUSOzYgh9Xid+rUqa0aqj+2bNmC8ePHY+TIkXjqqaf8uk1aWhrS0tICmSIRUYfmMa0fr2RxI3dEWb16NV599VU88sgj+OMf/4jY2Fj0798f2dnZiI+PR1VVFbZu3Yq9e/ciMzMTV111Ff72t7+ha9euQZ8LeygRUXhjD23Njg3IYbX4taq8vBzjxo1Dr169sHTpUvHJIiKi4OHxSt5+9rOf4Wc/+xm2bduG9957D1988QXKy8vR0NCA3r17Y9y4cTjttNMwatSosOpT7KFERKHFHtqaHRuQI3bxW19fj/Hjx2Pfvn145JFHsH79+pbL4uPjMXz4cMv3uSWuF2rje3jVs79ZJF4/c+QhsX791nyxfn6KnLq3J22gOqeTqraJ9Q9L5dS/pWvKxPo7FysvklTvx3tEgxEn1jOb98v1RPnlVBfANwRpkNMRP94tZ96d0V1Os16+N0esn737I3XsXblnifVCp5y4/OF+OXF5dIx8upDjMuQkRwDwrF0p1p9yyrsUTjlefh0cXCwfj5dw83x1bE3jh8+L9fhRP7d8X5r/deSJ9cc824I2BgWH2zThttiIrV4/UuXl5QX07asd2qOHIjsX6OLdazzJWeLVPXFygqzHcMr1IL6O1EPolDFc2g18RS4H6esaLbnZZ9qzUtcSqA23lm6sPHAfycPqtEz5M4KWeqymG/sYWzs4Unsc6tha2rNL/mxy+DI57VnjiZPPeOFJlj9T+Eq5NtzyWTVMj/yZyXQ1y/cTI28AM+Lkz1gA0Kh8jbnrQL1Y7yipzhr2UG+h3oAcsYvfPXv2oKSkBABwwQUXtLqsd+/e2LZtmw2zIiKKbh6PGUBYR3Q37iOqq6vx29/+Fm+99Rb279+P7t274+yzz8bNN9+M/v372z29VthDiYhCjz1UF6oNyNZOshdG8vLyYJqm+MOmTUTUPjw4fLySlZ+OElQ5depUPPPMM/jJT36CO++8E+PHj8dbb72FwYMHY8GCBXZPrxX2UCKi0GMP1VVXV+Omm25Cfn4+0tLSUFBQgF/+8pf49ttvgzpOxH7zS0REFE6WL1+OefPm4eabb26pzZ8/H8899xxuuukmZGZm4uqrr7ZvgkRERGFq6tSpeP3113HFFVegf//+KC8vx2uvvYa//OUveOCBBzBjxoygjMPFLxER+Y1hHbqEhAQMGTKkVc3hcODqq6/Gzp078cADD3DxS0TUgbGH6kK1ATlid3smIqLQOxLWYfWnI7jgggvwwgsviJedfvrp2LFjR4hnRERE4YQ9VOdrA/LMmTPxwAMPBGUcfvN7lAFdUpHbzTuZ+MWxt4vX/590OUn4Lz+VkwhdiXKCX2ztXnVO1QkFYv3vZ34j1r9NLhTrD67fLdanFOl/UJ0bysW6J1V+3A3Ky6lBicnMatAft5kgJyKf0kNOR4zZtlqsj+gppyQ7dmWoYw9IklMQUSdvKzqjq5w850w9Qay7v/lQHdscNl6s35isJ0RL4gNIdf70rDPF+siP5ATqYGKqc+TweEy4AwzrKCwshNPpRHFxMYqLi9tjerbKzMzEn//8ZyQmJmLmzJmtTsWwfPlyDBs2zL7JhYA7rRvc6d5nEGhyyGcO0F5HhiHXnUqMsFNJQz58oVzWXsHNypy0l7zp60OpmtIs17Vvd9TH7SPu2eFW+liznP6rJisrKcKG20fissJ0KgnKSuIylDEM7bFBTz3WEqK1Z1B7fL7Sns3GOvk2WoKyU/67aFb+Xlw+3neT4+XPCM7UdPU24vU7ycnsrpx+6m02H5BTrj/+Wv7c2dGxh+qObEAePXq012Wnn3465s6dG5RxuPglIiK/uQNo3EeuX1JSgtzc3PaYVlh44YUXcOjQITz66KN48sknMWLECHTv3h3fffcd9uzZg7ffftvuKRIRkY3YQ3Wh2oDMxS8REfmtLY072pWVlWH//v1Yt25dq59NmzbB5XKhqKgIgwcPxrBhwzB8+HDceOONdk+ZiIhCiD1UF6oNyFz8EhERBUlWVhZ+8pOf4Cc/+UlLrbGxEevXr2+1IP7HP/7BxS8REdGPQrUBmYtfIiLym8e0vhW6g2y0VsXHx6OoqAhFRUV2T4WIiGzEHupbKDYgc/FLRER+4y5bREREgWEPtS7YG5C5+D1KU9VeNCX7/5Rs3XdQrPeu+UGs74Z3kjQAdPeRHljbLKcjpsUni/WkWDk18fqT5APkM/eXqmN7EjuJ9Que/bdY/8PPBov1AfGHxPr+BDk1GgA6f/+xWI/vJicOViupzslO+Q3DnXOcOvYBJIr1Thly0nTcts/F+lvoL9bHZninoR4Rs3WNWG/qKad4x1Rska///QaxnjDuWnVsLdX5pZzjxfqle+XEcYpubNykaUAs6uGdbNug9DHtXItxSkKzwyHfwqFmNwNqILIWoazQXsK+XtpWX/W+0pslaqIzfKQSq2nIShKzNoYpX98XQ7uNlvbsUZKpXXK6MAAYTfVyXXncpkt5fC75+p5GfWxPk3yZlvbsiJU/a2iqG/XnPC61q1iPVRLEHZny43Olyfez5aD+2nxm9fdi/d9vvqHepiNjD7UfF79EROS3tpymgYiIqCNjD7UfF79EROQ3txnAVmtf50IlIiLqINhD7aftdUREREREREQUNfjNLxER+Y3HKxEREQWGPdR+XPwSEZHfeLwSERFRYNhD7cfFLxER+c3lMeGy2IitXp+IiCgasYfaj4vfo5keMb4/Vjn9QO8q+XQyt22QT4lzxyj5foxG+VRAANDd3CXWPfGpYr1b0x6x/kGFfP2bH92hjj1xnHxaodf/J1++wab3xPIDtfIpkK4ukk/9BABGhhy374mTTw2QVis/T6ZTPsVAw9uL1bFjf3a7WP9XmXxqq56Z8mmITk6U/7w8Lv1NzJmcIdbNL98U6/tLvhLri+9aJtaLa/VTHWl4SiM6GnfZIk2z20ST2/t37RJqgH5qH6svF8PjsnYDADFKb9DGDuaHT0M5a4yhhdpopwhSTgUEQD2lkdEsnwJJfQ61uq9THSmnLjIRp1xfftzanLTHAABQPk+5D1aKdc/BKrFuKqct0uq+OJLkz1+OZPkzkPZ3sfeQfmor7bKMxM7KpOTy5p11Yn3xqu3q2G8/90+x3nyoWr1NR8Yeaj8ufomIyG8e03ojZt8mIiJiDw0HTHsmIiIiIiKiqMdvfomIyG9u07R8zkGeo5CIiIg9NBxw8UtERH7j8UpERESBYQ+1Hxe/RETkN56mgYiIKDDsofbj4vcocRldEZfZ3as+IV5O+XUknyLWc8o2i/UHPtwq18/IUedkxiaJ9d1N8q+uW0yVWB+dIycz5vTqpI79uzF95AvWvS6WywvOFesjD9SL9R8OymmUAHAwXh67oHqLWDdr9on12MJxYn3j2beqY3dqkp+rs/tlq7eRuL/5UKw7jx+l30hJuXbmnyDWs8dcKdaLb33Y19SIAtaWrdaFhYVwOp0oLi5GcXFxe0yPbNTsOfzTVkH9mKekEhtKUnKswynWlQBen2KUGzncSmqvlqCs7PLoK+XacCtJyUoKtJbqbLiUuWqR1QBMp/LRUkmBhvKcq3Py8bi1VGdX+Tax3rh7t1hvqtHPwqGJS0sW6/Hdlcen0JLFS/fpc/rnOvmMF00u+TVV3yS//ss2yZ+ltn7ymjo2WcMeaj8ufomIyG9u0wO3x9oKx/3jh/qSkhLk5ua2x7SIiIjCHnuo/Zj2TERERERERFGP3/wSEZHfeLwSERFRYNhD7cfFLxER+Y1JlURERIFhD7UfF79EROQ3l0cPZPF1GyIioo6OPdR+XPweZeu+WtTHeSc798tJFa/f+MFzYv22gpPF+p7EfLFuOhv1Sa1+VSwvOHiiWH+o67divbT32WL9o58lqkObZV+I9ebh54n13L1yynVPU04ofH5/b3XsSw68K9adZ18j1t1lX4v1mkV3i/UBF81Qx3bWlstjrN8hX3/wT+S6kupccsl4dezCf7wl1h9I7ifWt9XJSZwLzW3qGERtwV22SOMxTbiFZOJghYt4lNRjh5YiDMBqSLNDyZpW0561hGYARrP8/qwmLlvlI/XY17wkhpo0rdV93Jma9iw/iaby+1Of8ib5DBIA4K6QU48PfvudWK/ZpvT7Jvm5jc+QPw8CgDMhTqw7UtLFutmpi1jfc0ge+8NvK9SxV/zjHbFeu2ebehuyB3uo/bj4JSIiv7nNAHbZUhYtREREHQl7qP2Y9kxERERERERRj9/8EhGR3xjWQUREFBj2UPtx8UtERH7j8UpERESBYQ+1Hxe/RETkN261JiIiCgx7qP24+D1KfucU5ArJzo3vLRKvH68kD3+wRU7kOzXTKdYb3HrisvvkS8X6I6lJYr15T4pY75YYK9Yd3U9Rx67/58PyBXknieWPXD3EemqC/DK7LHm3OnZFn0vEejfl+u5UOTUxecxkse5MTVfHhnZZNzlx2Sot0RkAphl5Yp3pzRQuTNOEabERmwzr6BBMANKv2qPE9sodEdBeXuqryEfas9VXnqElKHvc1q4P6GnMWoKyR66rY/j6u7KY9mx5bF/cym/WLadfq5SxPdX71Zs07CwT6wdKt4v16u3VYj1G+dwSm5ygjp2Q1Um+r7xBYr02PU+s/6t0n1j/dLX82ACmOkcS9lD7cfFLRER+83hMy7tgcZctIiIi9tBwwLRnIiIiIiIiinr85peIiPxnmtZ3weIuW0REROyhYYCLXyIi8pvpgfXjlSwefkhERBSN2EPtFzW7PX/55ZdwOp1ISZEDn4iIqO2OHK9k9YfCG3soEVH7Yw+1X1R882uaJn75y18iOzsbtbW1Ad9PfX0D6uobvOqHRsiJy9nK/Yzpq10ic372snqZ0VdOVv680juVGgAcRoZYL+oip0O7yjerYydOulWse75bI9bH9B0h1jdec4F8Pw8/pY6dXbtNviBdTk2MS88R6zWvPirW064pVMfWvH3ccLH+0+++snxfGqY6U7gzTetbobnHVngLVg/V71+ua6fvMJR0aI+pXKCUAcBQk5WV9GaX92eAw/UmfRCLTCWdWktWNlyNcr1ZnisAwGHtuw2juV6suyv3WrofAHAkp8ljaC+E2Hj5+k3KnA5WqmMfKpeToGt21sjX33NIrCd2ls/CEZusn50jru9QsX4gs79Yf3uTPNcFS74W6999+E91bIoc7KH2i4pvfhctWoR9+/ZhypQpdk+FiCiqmT8er2T1h8IXeygRUWiwh9ov4he/VVVVuOOOO/Dwww8jLi7O7ukQERFFDPZQIiLqSCJ+t+c777wTRUVFmDBhAr744gu/blNTU4Oamv/sAlNeXt5e0yMiiio8R2F0YQ8lIgod9lD7RfTid926dXj66afx1VfWjrlcsGAB7r333naaFRFR9DI9ZgBJlWzc4Yg9lIgotNhD7RdWi9/q6mq/tiD36dMHsbGx+N///V/cdNNNKCgosDTOjBkzMHXq1JZ/l5eXY8QIOayJiIiOEkDjBht3SLCHEhGFOfZQ24XV4nfJkiW47rrrjnm9jRs3Yt26ddi4cSNeeOEFVFVVAQAaGg4nH1ZVVSEhIQEJCQni7dPS0pCW5p1GmJiYgKRE79skKeF+jR88J9abT7lYrKcod1T/jb7VvdOpk8X68C+XifWDaz4W658t+Uy+nzfeVMfWXhyO46x9yBm46DWx3vjh8/rYo35uaYxN118o1h9+cq1YH/2bpep9Xbr3G7EezFRnokjlMU14LIZvWL0+BcbuHmpATmrWwkUMLdZZoYW+GEpyM6CnGBtNddauryQxa8nNAGDGJcsXxCjHVisRsIZbTpo2Gq0nc5seeQyXkurs+mGrfEfK/QCAo1OWWI/tnifWjRT5+tBSsROV5xVAbLL8mo1NkD/RxKfJSdMpXeQxMgb2Vsc2jztRrP9faYVY/8Pz68T69yv/Tx2DIh97qP3CKvBq6tSpfiWeFRQUoLS0FJWVlcjLy0NGRgYyMjLw4IMP4tChQ8jIyMA999xj98MhIoo6pmm27Lbl9w8bd0iwhxIRhTf2UPuF1Te/Vlx99dUYNWpUq9rixYvx0ksv4a233kKvXr3smRgREVGYYw8lIqKOKGIXv3l5ecjLy2tV+/DDD+F0Or0aOhERBUdbwjoKCwvhdDpRXFyM4uLi9pge+Yk9lIgo9NhD7Rexi18iIgo9j8f6aReOHB5YUlKC3NzcdpgVERFR+GMPtV9YHfPbVvfccw9qa60HQBARkX/8OaZU+qHwxx5KRNS+2EPtx29+2yCmz1Cx7jzwvXyDpEFiudO1s9UxXDs3iPWqf30g1jMnXCbWc3fJaYMJSXpqopbGHG8xiXnXvTeI9YNle9TbFFgcY8BfXhHrC/9i6W6I6BhMjxpK6/M2FP1S4hxIi/Pepu50WEt1divfiqj34/aR9qykOjvqqpTrHxLrWkqyI045HQQAj1NOdTbjkuS6lhztapbv/2CVOrap3MZUkrHdFbvEeu3WMvn6zXL6NQCk9JCf85isrvKcOqfK9QS57us5T1d/T/LH3aYaea5p+d3EeuLpE9Wx19bK83pg8SqxvuOzN9T7oujFHmo/Ln6JiMhvpmla3mWLW62JiIjYQ8NBVO32TERERERERCThN79EROS3tiRVEhERdWTsofbj4peIiPzGxk1ERBQY9lD7cfFLRER+85gmPBaPP7J6fSIiomjEHmo/Ln6JiMhv3GpNREQUGPZQ+3Hx64d1k88R68Nefkesa6cIismVT3Xki7t0jVjvfPN8sV63ZJ5Y7zn7actj73nnPbHey+JpiHrMekKsL84aqN6m4ClLQxARkc0Sm6qR1CScPk85/QxilFMBxcqnjDEN+SOL4W5S52S45VP+GB75VD3aKY2CSjlvieFqlOvN9WLdXXdQH0I5/ZPhdB5jcv99fSUXVX5afd7GSE6T7yq9h1gvr1V+dz5OddStKFesZ/QskO/L1SDW3WnyaZk2m5nq2L//P/nUlDylEVF44eKXiIj8ZpoBbLXmLltERETsoWGAi18iIvKb6QngHIXcZYuIiIg9NAxw8UtERH4zTetbobnRmoiIiD00HHDxS0REfmNYBxERUWDYQ+3HxS8REfnNE8AuW1avT0REFI3YQ+3Hxe9Rfph3G8w076TKHZ/uEq8/TLmfeCUN+YfZN4r17nc+rs6p/N0PxXre2deI9aSLb1fvy6pe9y+ydP3fxPUR6w82fS/Wr96/0fKciIgoPDn3b4czVk4mlmipvZ54ITEaegq0z30CtVRnZ6x8/US5bjrlj0umU06sBgAzJl6sG81ywrCjQU5v9hyS62azj5TrWHlejjQ5rdiRlCrWU2OU58Olxz3HdOkl1t1dB4j1L344JNZf37BbrO+srFPHLugmJ0oP6yGnN8crydSbv5Pn9PyKz9Wxv1win+mDiMILF79EROQ303TD9MinUfF1GyIioo6OPdR+XPwSEZHfTE8Ajdvi9YmIiKIRe6j9uPglIiK/mR5PAI3b006zISIiihzsofbj4peIiPxmut0w3RYbt8XrExERRSP2UPtx8UtERP4L4Hgl8HglIiIi9tAwwMXvUbrf/gfk5uZ61XvODtL9+0h11uQ9+GxwBg8BLdWZiIiin2tPGVweOSVX5HCKZSM+Qb56nFJPTVeHMONTxLonsZN8/bgkua6lOiuP4fAg8gdWR32VWDfccnqz9kHZkSwnGwOAMyNbrLvTe4h1T2K6PEafInkAU98NszlRTpRet0d+bcx+u1Ssr/nncrF+qKJMHVuT0El+PpzKayqQMYgoMnDxS0REfuPxSkRERIFhD7UfF79EROQ3JlUSEREFhj3Uflz8EhGR39i4iYiIAsMeaj8ufomIyG/cZYuIiCgw7KH24+KXiIj85jHdMCw2bg+TKomIiNhDwwAXv354KKW/WC+u/Vas35PYV6zXu+UtN0xJJiKiiOdxiwnHZlODfPVDB8W6q7bW0rCx2V3Uy+L6DBLrZpp8Gy3V2dFQIw/gbtYn5isJWho7LlG+mwxlrrHx6n01Z/QS62X1DrFeurNOrO+vkx+f2zTVsb+v2CrW3/18p1j/6tW/q/cVLA3VFe0+BhFFBi5+iYjIbzxeiYiIKDDsofbj4peIiPzG45WIiIgCwx5qPy5+iYjIf243TLfFrdBWr09ERBSN2ENtx8UvERH5zTQD2GWLYR1ERETsoWGAi18iIvIbd9kiIiIKDHuo/bj49YOW6qy5p36LWJ9m5AVhNkREROHHmZEDZ1a2V91duVe8vmtPuViv/m6XWG86eEisp/asVufUKSlVrMckZ4h1985NYr1qzWdivX5vlTp2UrdMsZ5+xlix7sk9Xq5nynOtdsnJzQCwfrec3rxk3Q9i/ZM1chLzrn9/KdYbqvepY7sarKV1ExGFEhe/RETkNyZVEhERBYY91H5c/BIRkd8O77JlbRcs7rJFRETEHhoOuPglIiK/mWYAxyuZbNxERETsofbj4peIiPzGXbaIiIgCwx5qPy5+iYjIbx6PG7DYiD1s3EREROyhYYCL3xBaaG6zbWwtadrOORERhZOZM2fi73//O7Zt24bNmzejb9++dk8pohiZXWF07upVdzQ1iNdvPlQv1qu37hbrB8vlFOHGSjkFGgCcCXFiPb58m1j/5q8fivWPPpHTkMvqm9Wx85JixfpPfyafQWLAHb8W63u6nijWl3+/Xx170YrvxHrJsrfFekN1hXpfRET+iJQequfkR4iGhgbcfffdyM/PR3x8PHr16oXi4mK7p0VEFJ3cHphut6UfuCPjeKUJEyZg5cqV6N27t91TCRn2UCKiEGIPtV1EL349Hg8mTpyIv//975g1axaWL1+O2bNnIy5O3tJLRERtY5rulmOW/P4xA9tla8uWLZg2bRqGDRuGmJgYDB48WLxeaWkpxo4di+TkZHTt2hW33347mpqaLI83cuRI9OzZM6C5RiL2UCKi0GIPtV9E7/a8aNEirF69Ghs3bkS3bt3sng4RUdQzAzheKdCwjg0bNmDZsmU4+eST4fF44BFO91BZWYkxY8agX79+eOWVV7Br1y7MmDEDdXV1ePTRRwMat6NgDyUiCi32UPtF9OL3ySefxMUXX8ymTUQUIqbHE0DjDmyXrfPPPx8TJ04EAFx99dX44osvvK6zcOFC1NTU4NVXX0VmZiYAwOVy4aabbsLMmTPRvXt3AMCIESPw/fffe92+V69eWLt2bUDzi3TsoUREocUear+I3e25ubkZa9euRe/evXHllVciOTkZqampuOSSS7B7txyWQUREbWN5d60ATutwhMNx7Bb11ltv4eyzz25p2gBwySWXwOPxYPny5S21NWvWYN++fV4/kda0g4U9lIgo9NhD7Rex3/zu378fzc3NePDBB3HmmWfi1VdfRUVFBW6//XZceOGF+PTTT9Xb1tTUoKampuXfZWVlAIDy8vJ2n7ddauES6zt3ygmWRBTZjryfuVzy336gTFddwLf57/fYtLQ0pKWltWk+paWlmDJlSqtaeno6unXrhtLS0jbddzRrlx66R04M9uzdJ9ZrKw+K9T11cgr0oYZGsV6vpEYDgFsZI075JmVPg5xMXeWRU51rTf3vq0r5sma3Mt/k3fLzt9e9S6wf2FOljt1YpfwuGuXnw2zSE7OJOiKz+XDfYg+NPmG1+K2urvZrAdqnT5+W/dZTU1PxyiuvID4+HgDQpUsXjB07Fh988AHGjBkj3n7BggW49957veojRoxow+wj0/MRcGA6EQVu69atyMvLa/P9pKSkIDMzEwe+fSOg2ycmJnq9x86aNQv33HNPm+ZVWVmJ9PR0r3pGRgYOHDhg6b5uv/12vPDCC9i9ezfOOOMM5OXl4bPPPmvT/ELJ7h566gU/b8Ps28kr79s3tvIZ975XtskX2DlXIhKxh/ovUnpoWC1+lyxZguuuu+6Y19u4cSN69eoFwzAwcuTIlqYNAKNGjYLT6cSGDRvUxj1jxgxMnTq15d9bt27FmWeeiU8//TQiUsqOpby8HCNGjMCaNWui4liuaHo80fRYAD6ecFZWVhbU5MX09HR89913qK2Vz7V6LB6Px2sXrLZusQ62efPmYd68eXZPI2DsocERTe8DQHQ9nmh6LAAfTzhjD7UuUnpoWC1+p06d2qqhHouvLTENyq5LgL6bQM+ePZGbm+v3+OGuW7dufDxhKpoeC8DHE84SEhKCdl/p6eniFmI7ZWRkoLq62qteWVnZ6himjoA9NLii6X0AiK7HE02PBeDjCWfsodEnYgOvgMMnU/7Xv/7Vqkl/8MEHcLvdKCoqsnFmREQUCgUFBV7HJR3Z/begoMCmWUUG9lAioo6tI/bQiF78FhcXo6GhARMnTsSbb76JZ599FldddRVOP/10jB492u7pERFROxs/fjzee+89VFVVtdSWLFkCh8OBcePG2TexCMAeSkTUsXXEHhrRi9+ePXtixYoVaGxsxOTJkzFjxgyce+65eP3112EYht/3k5aWhlmzZoXdvvOB4uMJX9H0WAA+nnAWDY+lrq4OS5cuxdKlS7F9+3bU1NS0/Lui4nCa7bRp05CamopJkyZh+fLlWLRoEYqLizFt2rSW8xOSjD1UxscTvqLpsQB8POEsGh4Le6jMME3TtHsSRERE/23btm3Iz88XL1uxYgVGjRoF4HCA0/Tp0/Hpp58iNTUVV155JebMmYO4uLgQzpaIiCh8sIfKuPglIiIiIiKiqBfRuz0TERERERER+YOLXyIiIiIiIop6XPwSERERERFR1OPiV9HQ0IC7774b+fn5iI+PR69evVBcXGz3tNrkyy+/hNPpREpKit1TCYjb7ca8efNw5plnonPnzsjMzMTo0aPx8ccf2z21YyotLcXYsWORnJyMrl274vbbb0dTU5Pd0wrIkiVLMHHiROTm5iI5ORnDhg3DM888g2iJD6itrUVubi4Mw8AXX3xh93QC9uyzz2L48OFISEhA586dMX78eNTX19s9Leog2EPDD3toeGAPjQzsodErxu4JhCOPx4OJEyfi+++/x6xZs5Cfn4/t27dj06ZNdk8tYKZp4pe//CWys7NRW1tr93QCUl9fj/vvvx9XX301fvOb38DpdOIvf/kLRo8ejeXLl2PMmDF2T1FUWVmJMWPGoF+/fnjllVewa9cuzJgxA3V1dXj00Uftnp5lCxYsQF5eHubPn4/s7Gy8++67uO6661BWVoZZs2bZPb02u+++++ByueyeRpvMmTMHDz74IGbOnIlTTz0V+/btw/vvvw+322331KgDYA8NT+yh4YE9NPyxh0Y5k7w89dRTZqdOncwffvjB7qkEzdNPP2327dvX/O1vf2smJyfbPZ2AuFwu88CBA161goICc8KECTbN6tjmzp1rJicnm/v372+pPfHEE6bT6TR37dpl48wCU1FR4VW77rrrzLS0NNPtdtswo+DZuHGjmZycbC5cuNAEYH7++ed2T8my0tJSMyYmxnzzzTftngp1UOyh4Yk9NDywh4Y39tDox92eBU8++SQuvvhidOvWze6pBEVVVRXuuOMOPPzwwxF9zi6n04mMjAyv2tChQ/HDDz/YNKtje+utt3D22WcjMzOzpXbJJZfA4/Fg+fLlNs4sMJ07d/aqDR8+HDU1NTh06JANMwqe6dOnY9q0aRgwYIDdUwnYokWLkJ+fj/Hjx9s9Feqg2EPDE3toeGAPDW/sodGPi9//0tzcjLVr16J379648sorkZycjNTUVFxyySXYvXu33dMLyJ133omioiJMmDDB7qkEncvlwqpVqzBw4EC7p6IqLS1FQUFBq1p6ejq6deuG0tJSm2YVXJ988gl69OiB1NRUu6cSsKVLl+Lrr7/G3XffbfdU2mTVqlUYMmQIZs+ejZycHMTFxeG0007D6tWr7Z4adQDsoZGFPTQ8sIeGD/bQ6MfF73/Zv38/mpub8eCDD2L//v149dVXsXDhQvzrX//ChRdeaPf0LFu3bh2efvppPPzww3ZPpV3MmzcPu3btwq233mr3VFSVlZVIT0/3qmdkZODAgQOhn1CQffLJJ3jxxRdx22232T2VgNXV1WHGjBmYO3cu0tLS7J5Om+zevRvLly/Hc889hz//+c/45z//CcMwMG7cOOzdu9fu6VGUYw+NLOyh9mMPDS/sodGvQwReVVdXo7y8/JjX69OnDzweDwAgNTUVr7zyCuLj4wEAXbp0wdixY/HBBx/YGgph5bHExsbif//3f3HTTTd5bTUNF1Yez3/vbvbuu+9i1qxZuPvuu1FUVNReUyQfdu7ciUsvvRSjR4/GzTffbPd0AjZ79mx06dIF11xzjd1TaTOPx4Pa2losXboUQ4cOBQCccsopyMvLw6OPPorf//73Ns+QIg17KHsotQ/20PDDHhr9OsTid8mSJbjuuuuOeb2NGzeiV69eMAwDI0eObGnaADBq1Cg4nU5s2LDB1sZt5bGsW7cOGzduxAsvvICqqioAh08/ARw+hikhIQEJCQntOd1jsvJ4jv7wsXbtWkyePBmXX3552O9ik5GRgerqaq96ZWVlq2OYIk1VVRXGjx+PrKwsvPzyy3A4InNHku3bt2P+/Pl49dVXW35PR9Jca2trUVtbG1GnNsnIyEBWVlZL0waAzMxMDB8+HBs2bLBxZhSp2EPZQ+3EHhre2EMp0kTmX5pFU6dOhWmax/wpKChAUlIS8vLy1Ps60vjsYuWxlJaWorKyEnl5ecjIyEBGRgYefPBBHDp0CBkZGbjnnntsfSxWH88RW7Zswfjx4zFy5Eg89dRTNs7eP0d+F0c7srU+XL9NOJb6+npMmDAB1dXVeOutt9CpUye7pxSwrVu3oqmpCeedd17L38n5558PABg9ejTOPvtsm2dozaBBg9TL7H7/osjEHsoeaif20PDGHkqRpkN882vVhAkTsGTJEjQ0NLRs1f3ggw/gdrsjategq6++GqNGjWpVW7x4MV566SW89dZb6NWrlz0Ta4Py8nKMGzcOvXr1wtKlSxEbG2v3lI5p/PjxmDt3LqqqqlqOW1qyZAkcDgfGjRtn7+QC4HK5cMkll2Djxo34+OOP0aNHD7un1CbDhg3DihUrWtXWrVuHW2+9FQsXLsRJJ51k08wCM2HCBCxatAjr1q3DsGHDABw+DnPt2rVhfVwfRQ/20PDFHmo/9tDwxh4a/QzTNE27JxFuysrKMHToUIwYMQK33HILKioqcMcdd6Bv375YuXIlDMOwe4oBu+eee/CHP/yhZZeUSFJfX49TTz0V33//PZ5//nlkZ2e3XBYfH4/hw4fbODtdZWUlBg0ahP79+2PmzJnYtWsXZsyYgZ///Od49NFH7Z6eZddffz2efPJJzJ8/HyNHjmx12fDhw1vt6hipPvzwQ4wePRqff/45TjzxRLunY4nH48Epp5yCAwcOYM6cOUhMTMT999+PzZs3Y/369ejatavdU6Qoxx4anthDwwN7aHhjD+0AgnfK4Ojy1VdfmWeddZaZkJBgZmZmmlOmTDErKyvtnlabzZo1y0xOTrZ7GgHZunWrCUD86d27t93T8+mbb74xf/KTn5iJiYlmTk6Oedttt5mNjY12TysgvXv3Vn8PW7dutXt6QbFixQoTgPn555/bPZWAVFRUmFdccYXZqVMnMzEx0Rw3bpy5YcMGu6dFHQh7aPhhDw0P7KHhjz00uvGbXyIiIiIiIop6HSLwioiIiIiIiDo2Ln6JiIiIiIgo6nHxS0RERERERFGPi18iIiIiIiKKelz8EhERERERUdTj4peIiIiIiIiiHhe/REREREREFPW4+CUiIiIiIqKox8UvERERERERRT0ufomIiIiIiCjqcfFLREREREREUY+LX6IQWL16NQzDwEsvvdRS27dvH/r27YsJEybA7XbbODsiIqLwxR5KRMFimKZp2j0Joo7gvPPOw44dO/Dvf/8bTU1NGDNmDOrr67Fy5UqkpKTYPT0iIqKwxR5KRMHAxS9RiHz55Zc48cQT8Y9//AOvvPIKPv30U6xatQrdunWze2pERERhjT2UiIKBi1+iEJo0aRLeffddxMbG4pNPPsHgwYPtnhIREVFEYA8lorbiMb9EIdS3b1/U1dXh17/+NZs2ERGRBeyhRNRW/OaXKESee+45XHvttSgsLERlZSU2bdqEmJgYu6dFREQU9thDiSgY+M0vUQisWLEC1113HR555BH87W9/w7Zt27Bo0SK7p0VERBT22EOJKFj4zS9RO9u4cSNGjhyJa665BgsWLAAAXH755fjXv/6FzZs3Iy4uzuYZEhERhSf2UCIKJi5+idrR3r17ccopp6CwsBAvv/wyHI7DO1ts3LgRgwcPxp/+9CfcdNNNNs+SiIgo/LCHElGwcfFLREREREREUY/H/BIREREREVHU4+KXiIiIiIiIoh4Xv0RERERERBT1uPglIiIiIiKiqMfFLxEREREREUU9Ln6JiIiIiIgo6nHxS0RERERERFGPi18iIiIiIiKKelz8EhERERERUdTj4peIiKLezJkzkZ+fD8MwsGXLFrunQ0REFDGiqYdGxeL32WefxfDhw5GQkIDOnTtj/PjxqK+vt3taREQUJiZMmICVK1eid+/edk8l7LCHEhGRL9HUQyN+8TtnzhxMnz4dl156Kd555x088cQTyM/Ph9vttntqRETUBlu2bMG0adMwbNgwxMTEYPDgweL1SktLMXbsWCQnJ6Nr1664/fbb0dTU1Oo6I0eORM+ePUMx7YjCHkpEFJ3YQ2Uxdk+gLTZt2oR77rkHr732GsaPH99Snzx5so2zIiKiYNiwYQOWLVuGk08+GR6PBx6Px+s6lZWVGDNmDPr164dXXnkFu3btwowZM1BXV4dHH33UhllHDvZQIqLoxR4qi+jF76JFi5Cfn9+qaRMRUXQ4//zzMXHiRADA1VdfjS+++MLrOgsXLkRNTQ1effVVZGZmAgBcLhduuukmzJw5E927dw/pnCMJeygRUfRiD5VF9G7Pq1atwpAhQzB79mzk5OQgLi4Op512GlavXm331IiIqI0cjmO3qLfeegtnn312S9MGgEsuuQQejwfLly9vz+lFPPZQIqLoxR4qi+hvfnfv3o0vv/wSX3/9Nf785z8jKSkJc+fOxbhx47B582bk5OSIt6upqUFNTU3LvxsaGlBWVob8/HzExET0U0JEBODwltuKigoMGTIECQkJQbnPqqoq1NbWBnRbj8fj1YjT0tKQlpbWpjmVlpZiypQprWrp6eno1q0bSktL23Tf0Y49lIhIxh4axT3UjGD9+vUzAZglJSUttf3795upqanmXXfdpd5u1qxZJgD+8Ic//In6nzVr1gTl/baystKMhyPgeSQmJnrVZs2a5ff4V111lTlo0CCvekxMjHn//fd71QcNGmRed911Lf8uLi42e/ToYTqdTrNr167mKaecEtDzEE3YQ/nDH/7wx/cPe+hh0dRDI3oTbUZGBrKysjB06NCWWmZmJoYPH44NGzaot5sxYwamTp3a8u+ysjKMHDkSa9asQbdu3fwe/46epwQ2cRs8ULbK7imQHyLpNdVR9U6MFev9UuPFesZx6ep9ZfbvLNazBvUR64kDh4l1T9+TvWrlu3fjjNFnIzs7Wx3fitraWjTCg8noimQ4Ld32ENx4uX6313tsW7dYWzFv3jzMmzcvZONFgmD30Bff/ADZXbp6Xd+p7HnnMAyx7pTLcCrX1+7H19j6fcnX1+o+hlYfhwPyBQZM5Z7kumF6h9e08Chp3cptDFMZWxvD19ga9b4CeHxWx1Cvrz3nAQhkvuHGCOLRkL7+OII0tqndRhvbwhjlu/fg9LHnsof+KJp6aEQvfgcNGoTvvvtOvKyhoUG9nbabQLdu3ZCbm+v3+CkR9PRZeVxkn0h6TXVU6Q558dvZKdezEuRFMQBkpyTJ9Uy5oSV1kRfLnh491DGCvRtqMpxIMSze54+fL62+x/ojIyMD1dXVXvXKyspWxzCRt2D30OwuXdG1u/dr0eoCVF38KitQ7X4CGVtb5GpzMnyNrS6klbG1xa+6YA3m4tfiIjeYC1MhgdbnnAIZQ70+F7+tRMviVzvWNYAx2EOjT0QHXk2YMAH79+/HunXrWmr79+/H2rVrUVRUZN/EiIiilNMwAvppLwUFBV7HJVVXV6O8vBwFBQXtNm40YA8lIgot9lD7RfTid9KkSTjppJNw0UUX4aWXXsJrr72GCRMmID4+HjfddJPd0yMiijoO4/A3WlZ+tG/TgmH8+PF47733UFVV1VJbsmQJHA4Hxo0b134DRwH2UCKi0GIPtV9E72PpcDjw5ptv4tZbb8UNN9yApqYmnHHGGVi5ciW6dvU+7oiIiNomkK3QTuUYx2Opq6vDm2++CQDYvn07ampqsHTpUgDAWWedhezsbEybNg1/+tOfMGnSJMycORO7du1CcXExpk2bFpXnJwwm9lAiotBiD7VfRC9+AaBz587461//GpT7uqPnKZaOuVxobgvKuJFmmpFn9xT8Fmm/o0ibL/3HAys2i/XrTtSPx+10sEy+YM9Wsdy8Sz4+s/Er7xCKhsoa4Zptd2RLtKXbBDjW3r17cfHFF7eqHfn3ihUrMGrUKGRkZOD999/H9OnTMWnSJKSmpmLq1KmYM2dOgKN2LMHsoRot4Kk9v83o8NQP1/IOf9qRrwH9ioJ07Kt2PKfPY4G1Yzq122jPUyDHAgfzeNlwE8hutxafD/X4XV+sHttrZYx2+n2yh9ov4he/REQUOo4AtlofWfwUFhbC6XSiuLgYxcXFx7xdXl4eTD8+hA4cOBDvvfeepTkRERGFGnuo/bj4JSKikCgpKWHyPBERUQDYQ4ODi18iIvJbKHfZIiIiiibsofbj4peIiPwWyrAOIiKiaMIeaj8ufomIyG8GrJ8jj22biIiIPTQccPFLRER+41ZrIiKiwLCH2o+L3w4ikk5PFEzh+Lh5OqPodMfofmJ91jul6m2Kz+gt1pMaDop1Y88Ose5uavaqeZpc6rht4UQAxysFcNYQijwOIzinL3IEclqVKGAqj9uIlr8f7dQx2tdgHvn0RL5OiaOeBilYp0AKRCCnTbKqvf9mgnjaH/X3p522yBerpzRS6tKcTEf7HGnLHmq/KD4pGREREREREdFhXPwSEZHfHMZ/dtvy9+fIt4GFhYXIycnBQw89ZO+DICIisgF7qP242zMREfktoNM0/Hh9nqOQiIg6MvZQ+3HxS0REfgsorKODHsNJRER0NPZQ+3HxS0REfnMEsNU6GCFIREREkY491H5c/BKF2Pb9teplvbNSQjgTCqYel/1FrL/8wEXqbWKUhmY6Y8W6o1OWWE/M3u9VS2ivpEputSbyS9ACWrWEWl830VKMgyWQ9F+rc9LSf5UUaEBPEracAq0OEMDzGo7vf6FIb9Zov9dA5hSEVGf1+kF8jo7GHmo/Bl4RERERERFR1OM3v0RE5Le2hHUQERF1ZOyh9uPil4iI/MbjlYiIiALDHmo/Ln6JiMhvPF6JiIgoMOyh9uMxv0RE5Dcn/rPblt8/P962sLAQOTk5eOihh+x8CERERLZgD7Ufv/klCrHt545TL+u9+tMQzoR8iRs+RazfPrdYrL827xKx3qtTnDqG0Vwv1s3YBLHuzMiR78jV7H3dGO8E6GBwBLDV2vHj9UtKSpCbm9se0yKio6lJtVpasbVE6aCmSWtz1cbQ0oIBNQnacgq0pp0SgEPNckKzL75+HxKrY/u6fjBSnQE5kbudvm1lD7VfdPwVExEREREREfnAb36JiMhvTKokIiIKDHuo/bj4JSIivzGsg4iIKDDsofbj4peIiPzG0zQQEREFhj3Uflz8EhGR37jVmoiIKDDsofbj4peonaTEyHly8Wnx6m0a3v6LWD9nQ3+x/tGvR1meVzTTEpp/Pfs29Taj+nYW6/9++/+J9dQ4p1hPiVN+34aeJmo0ucS66ZQToo3kdLEeExPrXUOSOm5bOAyjJXnSym2IwolpKjnGymvVo1ydx+IJrKb5aonLVlOgAT152GIKdCCCmoAtCGpCs8ZqcjMQ3PRmi9cPSqqzdv12er7ZQ+3HtGciIiIiIiKKevzml4iI/GY4DBgWv+4yTG61JiIiYg+1H7/5JSIivzmcgMNpWPw5fNvCwkLk5OTgoYcesvdBEBER2YA91H785peIiPzndMBwWj2m7/D1S0pKkJub2w6TIiIiigDsobbj4peIiPwW0C5bHu6yRURExB5qPy5+idqof4qczHvmGT3FeqfeGep9VXyyWqy/ftxOsd702X6x7syV06EbO/dTx/72QINYX/rvcrH+0frd8thKyvXgXvrjPilPvmxA52Sx3iXZO90YAMpXPirW4300mhgt/NHdJF9gNsvXd8nJzfAodQBwK5dpibNxKfLVYxK8r5skz7OtjuyGZek2bNxELTxK0nQknc7EV/Kw5dRjq6nOvlJ4tdtYTTFW0qF9CUkas1WBpDdLAnlsVpOYFT6f12CkOitjtNfvkz3UfmH4l0pEREREREQUXPzml4iI/GY4HDAsfptg9fpERETRiD3Uflz8EhGR37jLFhERUWDYQ+3HxS8REfktoLAONxs3ERERe6j9uPglIiK/GU7D8mkarDZ6IiKiaMQeaj8ufon8NDo7Sayf9/D/iPX4vkPFuqt8qzpG494KS3Ny79kh1j0Hq8R6bKfv1PsampEt1gcPzRTr5onHyfU4+XkyHT7ebrRkRiUV1fA0ytd3KwmdLuvJnSERIyeFm1Dq2nPocHqV3Cntk/ZMZJdoP+pNebtT3x8N7fqBUJOmLSYx+xwjSKnOvsYO5DaSaD/G0mqScRDTni2nKPtMe257qrN+fS44oxUXv0RE5DcjgOOVuNWaiIiIPTQccPFLRER+MwwDhsNi446g85cSERG1F/ZQ+0XVfh21tbXIzc2FYRj44osv7J4OEVHUcTgdAf1Q+GMPJSJqX+yh9ouqZ/O+++6Dy+WyexpERFHrcFiH9R8AKCwsRE5ODh566CGbHwVJ2EOJiNoXe6j9oma359LSUjz22GOYP38+pk2bZvd0iIiiUkCnafhxF6+SkhLk5ua2x7SojdhDiYjaH3uo/aJm8Tt9+nRMmzYNAwYMCPp9LzS3Bf0+28s0I8/uKfgtmM/rrntvEOtz731HrLt9pGSelpUo1n96/4VifcdPfiXWU+LkHSt6dNmiju3Y8pVY9zTUiXUjLkGuK0mVpqtJHdtz6KA8JyFJGADMpnq5HhsvD+CUE4yBYyRBS6we/xJAUqXlREotHTSQsZXnw4yRn9s64RyAdWas5XGp42rPHhrNTDWiGdbfp6zy8d6iBkerNwheIr723mkEawxf76lWk6Ot3o+dAklcDtZ9haKHqknMPv6OgpLqDJjCGFKNokNULH6XLl2Kr7/+Gi+//DLWrl1r93SIiKKWw2lYPv7IarIlhRZ7KBFRaLCH2i/iF791dXWYMWMG5s6di7S0NL9uU1NTg5qampZ/l5eXt9f0iIiii9P6Lltg4w5b7KFERCHEHmq7iF/8zp49G126dME111zj920WLFiAe++9tx1nRUQUnRyGAYfF0zQ4uPtY2GIPJSIKHfZQ+0X04nf79u2YP38+Xn31VVRXVwM4fKqGI/+tra1FSkqK1+1mzJiBqVOntvy7vLwcI0aMCM2kiYgimOF0wLC4y5bV61NosIcSEYUWe6j9Inrxu3XrVjQ1NeG8887zumz06NE4+eSTsWrVKq/L0tLS/N69i4iI/uPw8UoWt1pzl62wxB5KRBRa7KH2i+jF77Bhw7BixYpWtXXr1uHWW2/FwoULcdJJJ9k0MyIiovDGHkpERB1NRC9+09PTMWrUKPGyoqIinHDCCZbu74GyVZbOnxVJpxXSRNJpnHzpMesJsf7LbReI9crvq9T76nlGP7Eef/nvxPqwkf8r1i/99U1i/fELB6ljJyqnVzBr9qm3EXnk+zFi9dPfaKdNgnYaomCeOiJYp6ewk/Kcw9dDsHg6Bo8hn3aqttnlVatrbp9TdbTlHIUUXoLdQ6kDCeR0Q1bvK5DTDQXrviKp9wDBm28wT2lk+VRHSp/wdUqvIJzSCADEM5b5OItZW7CH2i+iF79ERBRaPF6JiIgoMOyh9ou6xe+oUaN8n3SeiIgCZjitH3+kfGFNYYg9lIio/bCH2i/qFr9ERNR+DIdheRcs7rJFRETEHhoOuPglIiK/ORwOOCzuguVwcJctIiIi9lD78dkkIqKQKCwsRE5ODh566CG7p0JERBRR2EODg9/8dhCJHfQcYQN+N1OsN3y5QqwDQMLwM8X6zW9uFutNXz0j1uOGTxHrvx69QB17YPZxYt2RlCHWDXeTfEce7/RfwHd4oeXERi1NUU2H9vEaVJMZw2/7nKElcmtz1VKgAcCwlkDqVo7FrHd530+Du53Snp0BJFX+eP2SkhJLifoUWQxD/jP39adPYU775QVwXLj2Hqm9p4YkBdoqO8cOhMWxA+q57Zzq7HNOwUh1BuARLvC0U9wze6j9uPglIiK/MamSiIgoMOyh9uPil4iI/GYYDhgWjz8ywvAbfCIiolBjD7UfF79EROQ3h9OwHtbRQQ+7ICIiOhp7qP24+CUiIv8FsMsWuMsWERERe2gY4LNJREREREREUY/f/HYQc56/3u4p2OLLuAFifdiY7uptymOyxPpfZk8X649OltOeNat3VquXZSbKY2emdhXrMZCTJw1Xo1xXUqADYjWhMxS0OflK6PSVxmzhvtTEUl93pdQNh/x7MpzxYr3R5X1PTUItGAxHAGEdPEchdUAe5U8wLPdgDEWyssWkfMsp0L4E8jiCNXawBHFsy6nOPhOXLb6graY6+xg7GKnOgNyL26eDsoeGAy5+iYjIb4YjgLAONm4iIiL20DDAxS8REfnt8GkanJZvQ0RE1NGxh9qPzyYREfntyDkKrf4QERF1dOyhuilTpmDr1q3iZdu3b8eUKVOCMk7HeDaJiCgoHIYDDofFH56jkIiIiD3Uh8WLF6OiokK8bN++fXj22WeDMk7HeDaJiIjaWai2WhMREUUjQwkx27x5M7Ky5FBYq3jMbwcRk3uc3VOwhUP5I2pMzlZv46p3i/Vf3jNDrOdfv1SsX178S7HeLytJHVvT5FYSCpVdYWLi5DEMLQIRsJyGqSZHBzM1VKM9Di2J2VfKtaHMyx2kZGwfz7k2L1Opq69nl/djaHQH8fk+SiC7YHWUXbYWL16MadOmIT8/3+uyI1utn3nGWjp8NAvH0ONoZzlZWeMr4ddXn7EgaHMF7E1pDoGgpjeL1w/grzVIqc5aojMQnFTnw9f3rxYM7KGtPf7443j88ccBHF74Xn755UhMTGx1nYaGBmzbtg0XX3xxUMbk4peIiPzGxu1bKLZaExFRZGIPba179+4oKioCAKxfvx4DBgxAdnbrL6ji4uIwcOBAXHvttUEZk4tfIiLyn2FYP+1CIN8aRAg7tloTEVGEYg9tZeLEiZg4cWLLv++++25x76lg4uKXiIj8xq3Wrdmx1ZqIiCITe6hu0aJFIRmHi18iIvIbG3dr/73V+q677kKfPn1snBEREYUr9lD7cfFLREQUBKHaak1ERBQNhg4dihdeeAGDBw/GkCFD1NwM4PChRSUlJW0ek4vfDqJuwzqxHnfaJaGdSDv5YIt8XrAR3VPEeqy7Ub2vLknxYr34LPkYhBtO7SXW4xzyH3BKnFMdOzlW3rrnUDMKFR45sdpnwqPF9EfTYfHtI4C0TTXVU3tvNOULfD17lpNDLSeNBpBMqqVWh8FhPw6HAw6LW6EdVo9viiBHN+6hQ4f6vG6wGjcR4DsF19DOZBnM1H2rgnQmAF/JxgElQYcZy8nNvkRQqnMoaAnOppAOHaTQci/soa0VFRUhOTkZAHDiiSeGZEwufomIyG+Gw3pYh/HjhqDCwkI4nU4UFxejuLi4PaYXckc37iPH/hIREUnYQ1urrq6G2334C5vRo0fjvPPOa/czI3DxS0REfmvL8UolJSXIzc1tj2nZxo7GTUREkYk9tLXXXnsNv/nNb9C3b19cc801+Oyzz7j4JSKi8MGwjtbsaNxERBSZ2ENb69GjB15//XV06dIFpmli9+7d2LFjh3r9Xr3kQw2t4OKXiIj8ZhgO67ts2XiMV3uzo3ETEVFkYg9t7Ve/+hVuu+023H///TAMAz/72c/E65mmCcMwWva0agsufomIiAJkR+MmIiKKBrfeeivOP/98lJaW4oILLsCDDz6I/v37t+uYXPxGmfNz08S6MyFOrG/dd1C9r/zOqUGZU9zwKWL96ad/r97mlNxOYj0rUU5KPq2r/PigpTr7SIQ0muvFemaMPHZGvDK2lthr+vjw62rSL5OGcMZaur7P+7Ka8mjoqdXBYkIew7Aaw+jwkQDqccl1q1tatd+3W7l/XyyOHev0/t3FKmnjbWU4HXA4rf3uo3mXLTsaN7XWTi/1dmM1RFZ7uwtJ+nsgCc3axNQHErxk6qAmJYeboKZAK7+jAMawmups9bOGr3bvUS7UbiKlOh++H/9qwcAe6q1v377o27cvrrrqKlx00UXIz5fPrhIsXPwSEZHfeLySt1A3biIiikzsobpFixaFZBwufomIyG+GI4DGHcXnKDxaqBo3ERFFJvZQ+3HxS0REfjMcAYR1sHETERGxh4YBLn6JiMhv3GWLiIgoMOyh9uOzSURERERERFGP3/wSEZHfDIcRwPFKERbHS0RE1A7YQ+3HxW8bLDS3ifV3+p8g1sv3K6fQidMjz1O7Jov17if1EOudhx4n1uO69xbrvas2qGM3xfQR6xWmPCdNzaePiXVHfaV6G8OtXNYgl7WofTM+Rb6Br1MEuZvlObnk0yZpdfU0DYGcSsAh/6kayhjBPN2D1bMKhYIJa43AcFg/LZN2Unnt6QjodxGk10ic0Ehj22k3KR6vRBoHDDgs/m1KQnIKnzCknbbFEYInRHuf0t7XQiKIp0AKS6E4dVGQxvbZx4L0OLTPGtrfBaD3Y6unKQrlxxz20NaGDBkCw8/Xr2EYKCkpafOYXPwSEZHfDIfT8saEQDY+RLK3334bn3/+OcrKynDnnXeiV69eWLlyJfr27Yvu3bvbPT0iIrIJe2hrRUVFfi9+g4WLXyIi8p/DAVhtxFG81fpoFRUVmDRpElatWoWePXuirKwM06ZNQ69evfDMM88gOTkZjz0m7wlDREQdAHtoK4sXLw75mNH7bBIRUfA5HIH9dAC/+tWvUFFRgfXr12PLli0wj9pd7+yzz8b7779v4+yIiMh27KHH9Pbbb+O+++7D9ddfjx07dgAAVq5ciR9++CEo9x/Rz+aSJUswceJE5ObmIjk5GcOGDcMzzzzT6gMHERFRKCxbtgxz5szBwIEDvXbj6tmzJ3bu3GnTzGTsoUREFC4qKipw2mmn4bzzzsPTTz+Np59+Gvv27QMAPPPMM5gzZ05Qxono3Z4XLFiAvLw8zJ8/H9nZ2Xj33Xdx3XXXoaysDLNmzbJ7ekRE0cfhhOG0ustW9B6vdDSXy4XkZDkQsLKyEnFxcSGekW/soUREIcYeqjp676l+/fq16plnn302Zs+eHZRxInrx+/rrr6Nz584t/x4zZgz279+PBQsW4K677oLD4m4Cd/Q8BSnCU6KlOmvO+XatpesH4sWSXWL9wh7yFnunkqxsut3qGI76arHeOVl52Sh/nEb9IbnualLH1tIDTac8thmTINabnPFi3e0jCjA+Tk6CdjTLUdOGW3kcWgJiIMmI2vNhcQzTR6hANHzZo6al+kqg1ZqKaS391FSu7+v3bTUh2lAeX0qc9/WTY9tpxx6HM4DjlTpG4z755JPxzDPP4Nxzz/W67MUXX8Rpp51mw6x0we6hmnA8S0eoA1aiTkAp9spzbrX5BDMlORwF87UZrFTnQM5SoTwOq6nOvl4d2kc5be8V7fpS3WpitN/YQ1XLli3Dk08+iYEDB8L9X+uTYO49FdHvIEc37SOGDx+OmpoaHDokL7iIiKgNjoR1WPqJ6Fbjt9mzZ+ONN97AmWeeicceewyGYeCf//wnLr74Yrz22mu499577Z5iK+yhREQhxh6qCtXeU1H3bH7yySfo0aMHUlNT7Z4KEVHUOXKOQqs/HcGpp56KFStWwDAM/PrXv4ZpmpgzZw7Ky8vx/vvv44QT5HPAhxP2UCKi9sMeqjuy95QkmHtPRfRuz//tk08+wYsvvoj58+f7vF5NTQ1qampa/l1eXt7eUyMiig5GALtsGR1jly3g8AL4o48+Qn19PSorK5Geno6kpCS7p+UX9lAionbGHqqaPXs2Ro8ejTPPPBMXXXRRy95T999/P5YtW4ZPPvkkKONEzeJ3586duPTSSzF69GjcfPPNPq+7YMGCsNv9jIiIIp/b7cbq1auxc+dONDR45wRceeWVNszq2NhDiYjITkf2nrrjjjta7T116qmnBnXvqahY/FZVVWH8+PHIysrCyy+/fMyQjhkzZmDq1Kkt/y4vL8eIESPae5pERJHvyPFKVm/TAaxduxYXXnghysrKxMAVwzDCcvHLHkpEFCLsoT6FYu+piF/81tfXY8KECaiursZnn32GTp06HfM2aWlpSEtLC8Hs2s//FPYQ66u2HxDrwzPkF46ztsLy2IbHJV+gJTx6lHogHMpL1iknNDe55bg+X2nPTod8mXqYvfa41cRLH29iWsqv9pxrqZABJDa2d/aplmzsi9XkSUOJlfUVJqpdZirPiMMpvxJ8JWkHi/a6TRPSng8KtWAI5PijjnK80o033ohOnTrh2WefxfHHHx92pzaSdNQe2mFp76kBvD8HTbBSoCMNU51bX1+5f1+py1ZTnbW7ku6nvc53zh7qn8TERCQmJrbLfUf04tflcuGSSy7Bxo0b8fHHH6NHD3lBSEREQcLTNKg2bNiAJUuW4KyzzrJ7Kn5hDyUiCjH20Faee+45S9cPxt5TEb34vemmm/DGG29g/vz5qKmpwapVq1ouGz58OOLj5XO8EhFRgLjLlqp///6tgqDCHXsoEVGIsYe2cvXVV7f695FzsB/9zfvR52Xv8Ivf5cuXAwB+/etfe122detW5OXlhXhGRETRzXA4YTitNW7jx0ZfWFgIp9OJ4uJiFBcXt8f0bPXwww/jlltuQWFhIQoKCuyezjGxhxIRhRZ7aGuVlZUt/79lyxZcfPHF+MUvfoGLLroIXbp0wZ49e7BkyRL87W9/wz/+8Y+gjBnRi99t27bZPQUiIvJTSUkJcnNz7Z5Gu/nlL3+J3bt3Y/DgwejevTvS09NbXW4YBkpKSuyZnIA9lIgockRjDz06Z+KOO+7A9ddfjzvuuKOllpOTgyFDhiAxMRG/+c1v8P7777d5zIhe/BIRUYg5HNZ3wYriXbaOVlRU1Gr3LCIiolbYQ1Wffvopbr/9dvGyoqIizJ49OyjjcPEboeKGTxHrOz78k1g3XNXyHflI9jO1ZGXlNqaSuKxeXx0ZanqzNiePllWsJE0H9AFVOUbDjEmQrx9IeqaawGgt1TmYSY5WH4ea6hzA86Hel/Y41Nes/vu2mkip3VezkizuKzHSaiJljJJmnejxPp9sglALCoZ1qBYvXmz3FCKKw+L7MDcshJ7WS3ym9wcrUTqQ33d7J0SH4jUYUOKyxdtYTocOXg+1muoczB6qXV96ZbZb/jl7qConJwcvvfQSxo4d63XZiy++iOzs7KCMw8UvERH57fBpGqwer9QxtloTERH5wh6qmzlzJm644QZ89913mDRpEnJycrB37168+uqrWLlyJZ544omgjMPFLxER+c8IYJetQPY4iBBDhw7FCy+8gMGDB2PIkCHH/Hby3//+d4hmRkREYYc9VHXdddehW7dumDNnDoqLi+FyuRATE4MTTjgB//d//4fzzz8/KONw8UtERH4zHM4AtlpH7y5bRUVFSE5Obvl/7ppLREQa9lDfJkyYgAkTJsDj8aCiogLZ2dlwBPmbby5+iYiIArRo0aKW/+cxv0RERG2zYcMGfPLJJzhw4ACysrJw+umn4/jjjw/a/XPxS0RE/nM4Agjr6Bi7bBEREfnEHqpqbGzEL37xC7z88sswTRPx8fFobGyEYRi46KKL8Ne//hVxcXFtHoeL3zCnpTof+NdjYj2hcptYN5rq5bqP9EVPXKJYt5rqbDkdGoALym2UpL5YQ74g2SnXfSZVut36ZeKdaUnMyptbMJMcg5jYqFIeh2ExydHXXH3+PqQxbDz+RUuwdCsxki4tXhJAsxaMrYyRFCs/bkddpXetXkl4byuepoEo7Gnv9dr7dkgEKwXa5xhheNhBkPpVQH0vSJ8RfL1s2jvV2UcLDdoYUrnd/lTYQ1UzZ87EsmXLsHDhQlx66aVIS0tDTU0NXnrpJdx6662YOXMm/vCHP7R5HC5+iYjIb4bD+f/bu/P4KKp0f/yf7s6GgZAEwia7CFGWwMQbGVR2cicOEJSL/GSQQQyKuGdkGQZBlE1Q+KncARUEGUExDHjviMygguPCsCiQqxgYUUCWIFsWIXt3ff9gyBD7PE1XpbqruvN5v155veB0dZ2nKp1++pyueg4cLt6vdJk/Ra4uczgcyM3NDXBERERkV8yhsrfffhvz5s3D+PHjq9vi4uIwfvx4lJSUYMGCBRz8EhFRkHGNwhpY5IqIiPzGHCo6f/48kpOTlY8lJyfj/PnzpvTDwS8REZFBLHJFRERUe8nJyfjTn/6E9PR0r8fefPNNcWCsFwe/RETkPxbr8Ons2bNYvHgxdu7cifz8fDRv3hw9e/bE448/jsaNG1sdHhERWYk5VPTUU09hxIgROHLkCIYPH46mTZvi9OnTWL9+Pf7xj38gJyfHlH7qxtkkIiJTOJxOQz91wc6dO3H99ddjyZIlaNiwIfr06YOGDRvi5ZdfxnXXXYedO3daHSIREVmIOVR25513YuPGjSgpKcHvfvc7/OY3v0F2djZKSkqwceNG3HHHHab0w29+bSA6dbz42E+fLla2R5w+qH5C2U/KZvEPx8fsk1SBV2oXC+MJfUgVnQGg3C1UaRa2jxSqOjvLhfNRWSb2LdEiY4R2qSp27cuxX43e6s1GqhdKlRxlQkViH7FKxRxMq7ZoYqVKvV0IL2UAciVotxBTtLAvR5X369nhLpc7rg2HgfuVpMrnYeahhx5C586d8f777yMuLq66vaioCBkZGXj44Yexe/duCyMMMIc9i+2GK1/vj7p/DzorMfuqPKy3en9QqkCbJQgrDdixqrP+zwHBobtydABj8RtzqE9Dhw7F0KFDcfHiRRQWFiI+Ph6xsbGm9sHBLxER+c/h0P8BsI6MiPbv34+cnJwaA18AaNiwIaZOnYqRI0daFBkREdkCc6hfYmNjTR/0XsbBLxER+c/hNJC468YlWx06dEBhYaHysaKiIrRv3z64ARERkb0wh/p07NgxvPvuuzh27BjKympe1eZwOPDiiy/Wug8OfomIiEywcOFCPPTQQ2jVqhX69OlT3f7xxx/j6aefxpIlSyyMjoiIyL7eeecd3HPPPfB4PGjSpAmiomrePsjBLxERBZ3mcOq+J83QPWwhaNKkSSgqKkL//v3RsGFDJCUl4cyZMygqKkJCQgKmTJmCKVOmALiUxHNzcy2OmIiIgok5VDZt2jQMGzYMr776Kho2bBiwfjj4JSIi//GSLVFqaiocdfDeLCIi8hNzqOjMmTO4//77AzrwBTj4JSIiPRwGSvrWkQHhqlWrrA6BiIjsjDlU9Ktf/Qo7duzAgAEDAtoPB79XaH9NJOKdkUHvN+9vi8THXMUnle0OT5X6CRFC/E71r1oT2gFAi5CW9lG3w6XuW+rDKS5cBLgc6jL1Lqf6OQ53hXpHbuE8edxi3yG17IKJ9C7545bWGBDZc6kEs1QK56PCx1pHFyvVr6kKt7DMmLCfBNXfmCNAb+9OB6B3zUHh77YuKCkpwcmTJ3HdddfV2W+F9R513fiOI3xJl2iatgRSiDHtklUD+9G7pJER0q50L0Mkba8/JHFJI3kpJ//jqTXmUNGyZcswcuRIlJSUYMCAAYiPj/fa5he/+EWt++Hgl4iI/Mb7lWTPP/88Ll68iJkzZwIAPv30UwwdOhTFxcVo164d/va3v+G6666zOEoiIrIKc6jsp59+QklJCebNm4f58+fXeEzTNDgcDrjdPr688hMHv0RERCZYvnw5Jk2aVP3/7OxsdO7cGVOnTsXs2bMxbdo0rFu3zsIIiYiI7GnMmDH44Ycf8PLLL6Njx45e1Z7NwsEvERHpYKBYRx25kPXYsWPo0KEDAODEiRP48ssv8fe//x233XYbqqqq8OCDD1ocIRERWYs5VLJr1y6sXbsWw4YNC2g/HPwSEZH/WKlSVK9ePRQXFwMAPvroI9SvXx+9evUCAMTHx6OoqMjK8IiIyGrMoaLrr78eVVVCrR4TcfBLRET+Y+IWpaWlYf78+XA6nVi4cCEyMjLgcrkAAN999x2uvfZaiyMkIiJLMYeKFi1ahCeffBJdunRBcnJywPrh4PcKd/0hA9cmxAVs/8mP/Y+y/f2n+ovPcTdoqmz31BPWwJKqKRqp9hxZT9leUqUugSfdgx4plNdz+fhbjhIedEp1/5wuZbMmnCcjRfzEggNmvilJvz+xeqa+I/FVL9AhVBMUqyPqLD4oVXj0RW+1Rakgoq8qu2ZVniwVKjefL5WLM3xz5oKyfefh88r2/2iboGz/TXOxC9NpDoeBYh11o1Ll888/j8GDB2PIkCFo06YN5syZU/3YunXrqr8FpuCpGx8ZyQ50FyUKwvuo3rSrd9WHS8+R+jYnt/r6HCD1oaeqs7gfM0tiX7lb5lDR448/jlOnTqFLly5o0aKFV7Vnh8OB3NzcWvfDwS8REfmPs9aiG2+8Ed9//z3OnTuHRo0a1XjshRdeQLNmzSyKjIiIbIE5VJSamhqUJQE5+CUiIjLRzwe+ANC1a1cLIiEiIgoNq1atCko/HPwSEZH/HI5LP3qfQ0REVNcxh1qOg18iIvIfL9kiIiIyhjnUchz8EhGR3zSH00CxDiZuIiIi5lDrcfB7hfgx05DQsmXA9j8n6z+U7fUi5Be1FiFUaXZFqp8g/IEIBZrh9lHMrrxCXb32olDVVhIbqY6pnlSaF4BTU1fIdXiE9b+E4650qM9flY/ygdLN9pFCuxirVLnZCDP3JZEqSgubRwoVtsVqkT4u25F+HVJ1b+l35OMlJfctHaFwHJVCsBeEv4svTspru85Z+omy/YdV9yjbb5m/Vdk+ql+xV5t2+qzYb604HIBT76w1L9kib2a9LML95SW9pzqNVP8VniOuHCB96DaQk/R+gDc1hwqCMqgIg6rORioum1XV2ddKEXpfIWKsJuzbb8yhluPgl4iI/MdLtoiIiIxhDrUczyYREZFJVq9ejTfffNOr/c0338Tq1astiIiIiIgu4ze/RETkP85a+zR27FhERERg9OjRNdrvvfdeeDwejBkzxqLIiIjIcsyhPq1evRpOp9Mrh7755pum5VAOfomIyH9M3D5t27ZNeU/6Rx995PPeNSIiqgOYQ30KxgQyB79EROQ3zeEwUKnS+mIdBw4cwJgxY1BYWIgWLVpg7dq1aNGihen99OnTR9neu3dv0/siIqLQwhzqWzAmkEN+8HvgwAE88sgj2L59Oxo0aIAxY8Zg9uzZiIqKsiymhX8/pGwf1a25sj0hWv4jcFZcVLZrTp1VoIXbu41U0dP70pMqSrt9lA+MdOmc5fKoKy4LhaYR4bPSnlBh2C1UmpbOoVSp0tebnoVvcHp7dkrVoQ2UXJZOofQScQl9iBVLfVUNlYo9R6qrWUcKQVVEq7dPbhwrdv3Ivb9Utr+de0LZ/snIeGX79lFPebWdLi8X+62VEJ21fuCBBzBlyhQMHz4cL774IiZNmoQ1a9ZYHZblzMyhToexiutEKiG3vEuA4zXyuV9vVWc78lV1We9nB/FzrWL7gJ0j5lCfgjGBbP3ZrIWCggL0798fFRUV2LBhA+bOnYtXX30V2dnZVodGRBSeHA5jPwYcOnQIEyZMQPfu3REREYEuXbootztw4AAGDRqE2NhYNGvWDJMnT0ZFRUX14z/++CPy8vJw5513AgDuu+8+/M///E9ALkN2u93Yvn073nnnHaxevdrrx06YQ4mIgow51HK6v/ktLy9HdHR0IGLRbdmyZSguLsbGjRuRmJgIAKiqqsLEiRMxbdq0gHwdT0REwbF//35s2rQJN998MzweDzwe73n7ywO466+/Hhs2bMCJEyeQnZ2NkpISLFmyBABw/PhxtGrVqvpSqvr16+Oaa67B6dOn0bRpU9Pi3bNnD+68804cO3ZM+aHA4XBg5MiRzKFERBRwoZZDgUsTyDt37sTx48dRVlbm9bgl9/wmJydjwYIFGDFiRK07r63Nmzdj4MCB1UkbAO666y5MmDABW7ZswdixY60LjogoHAXxkq0hQ4YgMzMTwKUiGF988YXXNnYawD344INo2LAh3njjDdx4443KS4eZQ4mI6jDmUJE/E8hmDH51n827774bY8aMQe/evbFnz55aB1AbBw4cQHJyco22+Ph4NG/eHAcOHLAoKiKi8KU5nIZ+jHD6vDf/EmkA5/F4sGXLFgBAy5YtayTTCxcuoKSkBElJSYbikuzfvx/z589Hnz59kJSUhIYNG3r9MIcSEdVdzKGyyxPIW7duxY8//oiCgoIaP+fPnzelH91nc+7cufjmm2/QpEkTpKWl4d5770V+fr4pwehVUFCA+Ph4r/aEhASfJ6i4uBjHjx+v/rEqfiKi0OP498y1vz//qiqWn59f4723uLi41tH4M4Br2rQpkpOTsWHDBgDAihUrMHToUL8+GOjRsWPHqx4TcygRUV3GHCrxZwLZDIaqPbdr1w7r16/H3//+dzz22GPo1KkTpkyZgieffNI29zL5smjRIsyaNStg+29SX30O3MKN4R4fdXYdOmd7HEJVW6m6sdNnVWWpLp5UOVq9dZRLqMzr4wZ+6Zw4hSrX0nGLVbF99C1WDBZ/F1JVZ3X1X5/0zu75qmKsl7Qv4XxIZ9DMYq/iGaxSx+pwV6q3N3CepNdOZIT67ztSKHMbHSH/TlvF11O2Z3RIVLafev4ZZfuaHd7VoS9AqE5eS5eWadD3W768fVpaWo32mTNn4umnn65VPP4O4JYtW4bf/va3mDp1Klq0aBGQKpWLFy/GY489hpSUFK8PE1eqaznUaVIVe1aSthFfucrMvGQ3Br6B0/1+aWFVZ6lKss+VQaTnmNiH7r517kt1/qRzWlvMoTJ/JpDNUKuljvr06YO9e/di+fLlmD59OpYvX4758+dj5MiRZsXnU0JCAoqKirzaCwoKanx9/3PZ2dnIysqq/n9+fr7XC4qIiBQ0Ax/O/rX9rl270Lz5v5d8i4uLMy+uq7jxxhuxe/du0/fbtWvXGhN5+fn56NKlC1q0aOH1gcLhcCA3N7f6/8yhRER1DHOoyN8J5NoyPPgtKirC7t27sWvXruqTcfToUdx9991YsmQJli1bhs6dO5sWqEpycrLXfUlFRUXIz8/3edLi4uKC+oIhIiKgefPmaNmypan7NDqAM0tqaqrPq1gkzKFERKRHOObQ2kwgG6V78Dt69Gjs3r0bhw4dgqZpSEpKQs+ePfH444+jZ8+eSEpKwjPPPIObbroJb731FoYNG1brICUZGRmYO3cuCgsLq09QTk4OnE4n0tPTA9YvEVFd5YGm+3Iwj+6L7/xndABnllWrVunanjmUiKjuYg6tyegEcm3oHvwePHgQ6enpmDlzJnr27In27dt7bfPOO+9g+vTpePLJJwOauCdMmICXX34Zw4YNw7Rp03DixAlMmjQJEyZM4PqEREQBoEH/fWSBS9v2GsCNGzcOTz31FNq1a+f12NGjRzFr1izmUCKiOow5tCa9E8hm0D349fd678zMTMybN093QHokJCTgo48+wiOPPIJhw4ahQYMGyMrKwpw5cwLaLxFRXeXR5CIjvp5jRElJCd5//30AlwaPxcXFWL9+PQBUV4O00wBu1apVmDBhgnLwe/bsWbzxxhtwu91+7Ys5lIgo/DCHyvyZQH799ddr3U+tCl750rVrV2zatClQu692ww034MMPPzRlX57vd8NTctSr/e2LbZTbf3PqJ2V7/+sb6+pXqgINAC6nUO9Weo5H/cFKqobsqx5xjFDtVqocLR2FdDGDy0fpTr0Vlz3Ceapwq/dT5dFfjTJCqv4rVLN2BnSu7l+E36v0+/ZZhVM659JzglHQU7oURm+1CB8VOqWqzpUuddXdUxfVVZT/sClP2b5urFwIqKf6rUXkbNf86hsFmKbpr6RptGjm6dOnMWLEiBptl/+/bds29O3b13YDOOnyrW+//RaNGjXyez+hmEPNEuxL4EiuSCzmYl+k91s7VoE2uH6qSqCrOptZfVhvlWRfgy+zqjpLrw5fh23WvlTNgfoExxwq82cC2daD35iYGPzqV78K1O6JiMgCtZm1TklJgcvlwqRJkzBp0qSrPq9t27Z+fUiwcgC3dOlSLF26FMClQduoUaNQr17NJazKyspw5MgRrw8hvjCHEhGFH+ZQ38yaQPYlYINfIiKiK+Xm5ppeqdJqLVq0QGpqKgDg66+/RqdOnZCUlFRjm6ioKNxwww247777rAiRiIjCQDjm0EBNIPvCwS8REekShAv6Q0ZmZiYyMzOr/z9jxgzlJVtEREQAc+iVrJhA5uCXiIj8FsxiHaFm5cqVVodAREQ2xhxakxUTyBz8EhGR3zRNM1CsI4wz9xU++eSTq27Tu3fvIERCRER2xBwqC9YEMge/RETkNw/0F/q2YY3XgOjbty8cDkeNDyo/L97h71JHREQUfphDZcGaQObg9wqVJ75HZUWhV/sdt6Yqt/9lq4bK9iiXunR+bKS6glmEjyV/ICzVYxofs0nScjniUkd6l0oQlmXyRVzCR1iuRjq1wVhIQ++yB0Y4YM6yU5dIyyPpCAgweTkL9fE5POrlhiC1++xC/dopF/72coUlznwtaWSWqGGPCo+sCnjfl11apkH/c+qCvXv3erUVFBTgb3/7G/785z/jlVdesSCq4HEgOO+tgRTq8V8mrhZo5QGauKyQVYzk9WAsaWTWckNmMmsZIiOX/Mr78n8pp0BdaswcKgvWBDIHv0RERCZISUlRtvft2xfXXHMNXnnlFfTr1y/IUREREdlfsCaQOfglIiK/BXONwnDSq1cvLFy40OowiIjIQsyhsmBNIHPwS0RE/jNQrOPyNVvhuEahv959910kJiZaHQYREVmJOdQQMyeQOfglIiK/sViHbOjQoV5tFRUVOHjwIH744QcsWLDAgqiIiMgumEONMXMCmYNfIiLymwYDxToCEon9/PSTdzG0mJgYDBw4EP/1X/+F//zP/7QgKiIisgvmUFmwJpA5+PVDRPEpZXvz+knKds3pUrY7hOrGjqpysW+pqq0mVKjVzVflQqlqr9DukKpLGqn+K/at7kTqI9IVpWx3RchVJ6VqgE7hXDmltyWp2cc511uhUIoJDvVrUGyH/FKQXrdS5U6xErMB0utc0yLVfbsrhR3Jr0HNpd5XaZn6Odv+eVbZPrxrC7EPs0THWX/ZrEfTdFcjNVK9NNRUVFTgkUceQUpKCq677jqrwwkJVtb+9bXIghnbhwvdqziECTtWdfa1tVmVicXq0Cb2rbeqs69LhKXMLp1baU/KzQP0EmcOlQVrApmDXyIiolqKiorCqFGj8Ne//pWDXyIiIh2COYEc+ouuERFR0GgGf+qC5ORk/PDDD1aHQURENsUcqnZ5AvnYsWMB74uDXyIi8tvlZRr0/tQF8+bNw+zZs/HFF19YHQoREdkQc6gsWBPIvOyZiIj8p+m/t61OTFsDmDx5Ms6dO4ebb74ZjRo1QtOmTeG44t5Bh8OB3NxcCyMkIiJLMYeK5s2bh8ceeww33ngjbrrppoD1w8EvERH5zQMNHp2Z+PL2KSkpcLlcmDRpEiZNmhSI8CyVmpoa0IRNREShjTlUFqwJZA5+rxQRCUR4Vwd2lntXHwN8VFyOjFFvL1THNUQszavuQ+rbVyVmMV6dxyH9iRuqAq2zAqNUedjpo1q2XNUz8FNvUkU/t1iBUdjewDUyDqmatfD79gi/PpdDqNDso28p3spKdbtLiDXSFa1s9/WqKRdO7o8X1ZWjX539/yvblwx/3UcvgfX7s197teWfPIE13ZJN70szMGt9efvc3Fy0bNnS9JjsYtWqVVaHYEsGCufq4isjSe9rRICxqs6BZuYnDalSst6qzr4+Uoh9+IhLD1/70V9hu1ahmII5VBasCWQOfomIiEwwbtw4PPXUU2jXrp3XY0ePHsWsWbPw+uvWTZIQERHZVbAmkFnwioiI/MZiHbJVq1bhzJkzysfOnj2LN954I8gRERGRnTCHysaNG4fDhw8rHzt69CjGjRtnSj8c/BIRkd8uX7Kl96eukC6z/fbbb9GoUaMgR0NERHbCHCoL1gQyL3smIiK/1aZYRzhaunQpli5dCuDSwHfUqFGoV69ejW3Kyspw5MgRjBgxwooQiYjIJphDfQvGBDIHv0RE5D8u01BDixYtkJqaCgD4+uuv0alTJyQlJdXYJioqCjfccAPuu+8+K0IkIiK7YA6twYoJZA5+r+CKbQhXg3jvB4Sytg63uhqs5hQqK7u8K0lf2l7+NUgVlzVpX8KMifiH5nCJfUuVh/X+ETqFPhxOuW+H2LdJ9QN97cfMqtwmkSpQS3UqXXLJat2kysoO4YXgFLYXX0+QZ/o04ffkFo48UuxBJp9DdXvFXvsVLGrTqL5Xm6s0NiB9eTTN5+9Sek64ysjIQGZmZvX/n3rqKbRv397CiKzjdDjEv38z2LAwb53lq0qymL+DINDVm40cmlnvf0YqLltJCkmsNG3gGKRzK+1JjEnxjEB928ocWpMVE8gc/BIRERmUmJiIQYMGYciQIZg/fz6aNm1qdUhEREQhwYoJZPt9xUVERLbl1gC3R+dP+E5aY8OGDWjVqhXmzJmDa6+9FmlpaXjmmWewd+9eq0MjIiKbYQ6tKTExEXfccQdef/11zJ8/PyhXTnHwS0REfrt8yZbeHwBISUlBkyZNsHDhQouPwjzp6el46aWX8N133yE3NxfDhw/HBx98gLS0NLRq1QoPPPAANm3ahLKyMqtDJSIiizGH1mTFBDIveyYiIr95NA1ug/cr5ebmomXLloEIyxY6d+6Mzp07Y8qUKTh//jw2bdqETZs2YfTo0aioqEC/fv0wZMgQPPDAA1aHSkREFmAOrSk9Pb16Enn//v1477338N577+HZZ59Fs2bNcPvtt2Po0KEYMGAAYmJiTOmT3/wSEZHfPJqRmWurow6+xMRE3HPPPXj77bdx5swZ/OUvf0HHjh2xePFiq0MjIiKLMIfKLk8ef/rpp/jxxx8xd+5cFBUVYfTo0WjUqBEGDx6MV155pdb98JvfKzjjEuGMT/Jq90SoKyvrJVVuho+qx9JzqnRWy3MH4S9HrNgrVczzEZJUr1GsHC1VQzZSNVp6TGcVaCNVJ6VKqeLxedy69u/wddzCvhzuCmFnwvnwVOnbHnL18sgo9SyfU6o0Xf6TuuuKErHvaKE9OcH7vQAAXtl5VNn+wM1txD7CyeV7kPQ+py6LiIhA//790b9/fyxatMjqcGxDyhkmFqsPOOkY6rJAV1w2k5lFdPVW5JW2NvPjmlhZWe/2Po5N79u7tC9pP75Oq97jkCo4q/oIVIFl5lD/XJ5Avueee1BVVYVPPvkE7733HhYvXlzrq6c4+CUiIjKBx+PBvn37sHPnTuTn56O0tBSNGjVCp06dcOutt3ot30BERES+mT2BzMEvERH5jWsUevvuu+/w3//931izZg3OnDkDl8uF+Ph4REdHo7CwECUlJXA4HLjtttswfvx43H333XAK68ETEVH4Yg6VBWsCmYNfIiLyW22KdYSj+++/H6tXr8Ytt9yCWbNmoVevXujcuTNcrn/fonH27Fns3r0bf/3rXzF58mQ8++yzeP3119GrVy8LIyciomBjDvUW7AlkTj0TEZHfPLhcsEPHj9VBB9j+/fvx0UcfYcKECejWrVuNgS8ANG7cGBkZGXjxxRfxww8/4A9/+AOOHDliTbBERGQZ5tCa7r//fnTu3Bm5ubmYNWsW9u3bh7KyMpw5cwbHjx/HhQsXcPr0abz33ntISUnB5MmTceONN2L79u2G++Q3v0RE5De3R9NdQC8YBfes8uqrr1b/u7y8HNHRUgm1S1wuF+65555Ah0VERDbEHOpt//79uO6668THL08gZ2RkYNGiRVi7di2OHDli+OopDn6v4Im+Bp7oWO8HnMJpEkvwmviFurAv6QoI6Q8kKH83QlCaiYUfpVMuVQeNEB5wGDgfUgVL6Zz7qo6ol0uofy2dWrGqs4/q0A6pSrPe6s1uYXtfVdOFiudlVerjkH7f9YS/VV9VsZ1l6grRrp9OK9uzmqkHN/tONFS2d782XuybwktycjIWLFiAESNGWB2KrfASM/uQ0lIIFWi2lJHLT836JOCz4rL+RTV08fXNoxSWWZ87DZ1znU9RxRrm403bsGICmTmJiIj8pulen1AzdSLIzu6++26MGTMGvXv3xp49e6wOh4iIbIY5VJacnIycnJyA98PBLxER+c2tGfupC+bOnYtvvvkGTZo0QVpaGu69917k5+dbHRYREdkEc6gsWBPIITv4dbvdWLBgAXr37o3GjRsjMTER/fr1w6effmp1aEREYUvvjLWRZR1CWbt27bB+/Xp89NFH2Lt3Lzp16oQ5c+agvLzc6tBqYA4lIgo+5lBZsCaQQ3bwW1painnz5iE1NRVvvPEG1q5di4SEBPTr1w9bt261OjwiorB0uViH3h8ASElJQZMmTbBw4UKLjyLw+vTpg7179+KFF17ASy+9hOTkZKxbt87qsKoxhxIRBR9zqG/BmEAO2YJX9erVw/fff4+EhITqtkGDBqFLly5YvHgx+vfvb2F0REThSTMwC335fqXc3Fy0bNkyEGHZSlFREXbv3o1du3Zh9+7dAICjR4/i7rvvxpIlS7Bs2TJ07tzZ0hiZQ4mIgo851D+XJ5CXL1+O6dOnY/ny5Zg/fz5GjhxZ632H7ODX5XLVSNqX27p164ZDhw4Z2qcWVR9adAP/t3cJp0+qDi1UtNWk7QF4hHq+0h9OoCv+AXKFYakCr8NAGUmzbu53CPtxuCtN2T8AaMIFFJUGbtIQz6FwjYZ46YZQ7Vms6AyIVZ0dQvVm+fUvVCiPrCd2fb5S/Zz9Zy4q24vK1L+/Hs3Vf78t66krMQMAzh5RNl/co77889iHX6p38+UpZfvSE+pq0gBwUjiOmxOvUbYPPvmVuC+y3ujRo7F7924cOnQImqYhKSkJPXv2xOOPP46ePXsiKSkJzzzzDG666Sa89dZbGDZsmGWxBiKHOsCqwWRP+qv/Br6qs/h5LQiXuAajb2lfUuVoqWtfEUnH4RGeJfahaK8jVxrbUqAnkEN28KtSVVWFHTt24LbbbrM6FCKisOSG/uIb8kJT4eXgwYNIT0/HzJkz0bNnT7Rv395rm3feeQfTp0/Hk08+aengV4U5lIgosJhDZcGaQA6rwe+CBQtw4sQJPPHEEz63Ky4uRnFxcfX/WY2TiMg/Ropv1JViHZdnqK8mMzMT8+bNC3A0+jGHEhEFFnOoLFgTyLYa/BYVFfmVRNu3b4+oqKgabR988AFmzpyJGTNmIDU11efzFy1ahFmzZtUqViKiusjjATzStWY+nkP/1rVrV2zatMn0/TKHEhHZG3OoLFgTyLYa/Obk5GD8+PFX3S4vLw/JycnV/9+zZw+GDx+OUaNGYcaMGVd9fnZ2NrKysqr/n5+fj7S0NGNBExHVIR4Daw7qzPNhLyYmBr/61a9M3y9zKBGRvTGH1l5tJ5BtNfjNysqqkVD9cejQIWRkZKBXr15Yvny5X8+Ji4tDXFyckRCJiOo0XrJlX8yhRET2xhxae7WdQA7ZdX6BS7PN6enpaN26NdavX4/IyEirQyIiIgoJzKFERFTX2OqbXz1KS0uRkZGBs2fP4sUXX8TXX39d/Vh0dDR69Oihe5+emAbwKJZE0bssjrh0kbBejeZrbQidkz3SUjnSJRPS9r64hCfJSyDp70SOV70vp3CiHJWl6vaKEt0xIUq9/IwjQr2ET5VwEL5u3YgUzq16kSwfxHr+Pnr39Zhq80j1+ahwRSvbvzotn/O+d0xS72vv67pikkT1eEx8rPSte5Xt3/zp78r2lR8eNiUmX97LVy+P9J6jrbJ9mXYkcMH8jFvT4NY5C613+3C0evVqNGvWDOnp6VaHAiAwOdQsUsqQZut9LacnLh+nLyRDjORXurpQezsx65JVX/uRHtK7pJHeZYh89SGR9mVoeSmTLh9WLY0kLZdUW8yh1gvZwe+PP/6I3NxcAMDQoUNrPNamTRscOXLEgqiIiMKbx6MZKNbBxD127Fg4HA507twZf/jDHzBy5EhL42EOJSIKPuZQY8ycQA7ZwW/btm2DshA4ERH9mwcGinUEJJLQsm3bNly8eBH/+Mc/8Nprr1k++GUOJSIKPuZQY8ycQA7ZwS8REQUfi3XINE0TL8Ht06cPAOD2228PZkhERGQjzKHGmDmBzMEvERH5jfcryTIzM7Fu3TrUq6euA0BERHUbc6gsWBPIIV3tmYiIQkdKSgqaNGmChQsXWh1KQHzzzTfo3bs3Tp8+7fVYVVUVli1bZkFUREQUDsI9h2ZmZqK0VF2o1kz85vcKVc5IVDqjvNojhSrNYnVcsaqzeXMNYlVnoYalS6qe6aMapfSQWO3Z4xba9d+t4BTPubrZ4alSt1eVqfcvVIH2xeNS/7m4XepveYor1Mdd4eNmD6nac3SEuj02Un2eXA7v1zEARESpKzEDcrXI0kr1cew9eVHZPuT/y1a2+6rcbFZVZyP7H7lql7L9hs+OBSqckObxaHAbLNaRm5uLli1bBiIsW9ixYwcyMzNx88034/3338cNN9wAj8eDlStX4tlnn8WJEycwYcIEq8MMOmkm347VkO0YUzBIXywZWKzBNMH4skvv5aRmhiRWXA6xL/n0Vo4W9yO0+zofUkVmccELPe0B+j0wh8ouTyBv2rQJTZo0qfFYVVUVli9fbkoO5Te/RETkN/e/Erfen7qgcePG2LZtG3r27IlbbrkFc+bMQadOnfDAAw/glltuwVdffWV1iEREZCHmUNmOHTsQFRWFm2++GXl5eQAAj8eDFStWoEOHDnjkkUdM6YeDXyIi8hsTt29RUVEYPnw4KioqMGPGDCQkJGD//v1Ys2YNkpOTrQ6PiIgsxBwqC9YEMge/RETkN4+mP3nXkbyNnJwcpKSkYOTIkRg0aBCeeOIJ7Nu3Dx9//LHVoRERkQ0wh/oWjAlk3vNLRER+MzILXVdmrUeOHInbb78dK1euxC9+8QsAQLdu3XD//ffj0KFDYVukhIiI/MMcKsvJycHs2bPx9ddfY+jQobjuuuvw0ksv4eOPP0anTp1M64eDXyIiIhPs2LEDaWlpNdrGjBmDVq1aYfjw4Th8+DDWr19vUXRERET2FawJZA5+r1BaqaFEUdn2mkj1aYrQedG4JpRNNLOiod5Klb4211/VWV1xGcL2vjikas/COXS4K9XtleXqdqEKtE9arLK5tEpd0/C78+qK0kcK5UrTDaJcyva4mEhle2I99WvTKZynSh+Vpr8vKFG2PzBhjrK9bLd62ZZAV24227qxacr2CfcKr+c6jrPWsp8PfC/r168fPv/8cwwePDjIEQWXE+F7L5VUsZpqL1yqOgf6bc7X7qW+9VZilk6Tmcem+3dhoG8pXqk6dDAxh8qCNYHMwS8REfmtNss01GU33HADduzYYXUYRERkIeZQWbAmkMN1kpaIiALArRmoVBmMr3YssnTpUpSXq68w+bmkpCQAwFdffYWtW7cGMiwiIrIh5lBjzJxA5uCXiIj8xmUaalq1ahXatGmDJ554Atu3b0dlpfoWjJMnT2LFihUYOHAgevXqhYKCgiBHSkREVmMOrcmKCWQOfomIyG8eA0k7nC/Z2rlzJ5YuXYq9e/fitttuQ4MGDdCtWzcMGDAAt99+O3r16oXmzZujVatWmDp1Krp3745vv/0Ww4cPtzp0IiIKMubQmqyYQOY9v0RERLVwxx134I477sCRI0fw4Ycf4osvvkB+fj7KysrQpk0bpKen45ZbbkHfvn0RGakuXkdERFTX7Ny5Exs3bsSLL76Il156CZGRkejYsSOSkpIQHR2NwsJCHD58GKdPn0ZiYiJ++9vf4s0330SzZs0M98nB7xVKqjy4qKj2LFU91lxC5WGpgyBcsy/1LVX/9VXAUqzqLFVWdleodyRWgZbqDeonxeQsK1Y/oVRo98HpVP+5xDSMV7aXu9XHd+y8uqoyACTFReuKKVJ4bUqv2aIy9XkCgFWfHla2S1WdqW6q8mio0jkLrXf7UNW2bVtkZWUhKyvL6lCITCF9bDFS/Lqu3rYoVlwOofMhHQOgv3K0tCcj50PsQ+e+VBWo9Val9hdzqLdgTyBz8EtERH7jMg2yoqIi/P73v8fmzZtx7tw5tGjRAgMHDsSjjz6Kjh07Wh0eERFZjDlUFqwJZN7zS0REfvNo+gt21JG8jaysLLz++usYMGAApk+fjoyMDGzevBldunTBokWLrA6PiIgsxhwqKyoqwsSJE9GuXTvExcUhOTkZDz/8MP75z3+a2g+/+SUiIr+5Nf3LLtSVZRq2bNmCBQsW4NFHH61ue+GFF7B69WpMnDgRiYmJGDt2rHUBEhGRpZhDZVlZWfjLX/6C0aNHo2PHjsjPz8f//u//4tVXX8X8+fORnZ1tSj8c/BIRkd94yZYsJiYGXbt2rdHmdDoxduxYHD9+HPPnz+fgl4ioDmMOlQVrApmXPRMREZlg6NChWLt2rfKxW2+9FT/88EOQIyIiIgoNviaQp02bhvnz55vSD7/5vUJppYaSSu/ZlSiXvhmXCKHSrtAsV4eGXKVZIm0uV24WKjEDgPScqjKhXV3tWarELFaBBgBNXT9QitdRpV4g21N4Rtnu/qlQ7lvgKi9VtsdGxSrbuzdLVLa3bhgj9tEw2qVsT4hRt1/jVleOdpRfUHfQQP07BYDBWSnK9hYjlyrbT657UNwXhS+PgVnrcF6j8EqJiYn44x//iHr16mHatGk1lmLYsmULunfvbl1wFhJzn9Auzco7hCdI+wd851er2DEmvex6FabeCr16DyMYb2VGqiGLFaXF7fX3oZfu34UUk4/fkt54pT5Ui3O4A/S7Zg6VXZ5A7tevn9djt956K+bOnWtKP/zml4iI/Ka3UMeVl3ilpKSgSZMmWLhwocVHERhr167FxYsXsWTJErRr1w59+vTB3XffjbS0NKxZswYrVqywOkQiIrIQc6gsMTERb7/9Nh599FGcOnWqxmNmTiDzm18iIvKbW/PArXONbve/ruTIzc1Fy5YtAxGWLRw7dgznzp3Dvn37avwcPHgQVVVVSE1NRZcuXdC9e3f06NEDDz7IqyeIiOoS5lDZlRPIr732GtLS0tCiRQt89913+PHHH/HXv/7VlH44+CUiIr/xki3fGjVqhAEDBmDAgAHVbeXl5fj6669rDIjfeecdDn6JiOoY5lBZsCaQOfglIiK/sVKlftHR0UhNTUVqaqrVoRARkYWYQ30LxgQyB79ERERERERkO2ZPIHPwe4WLlVX4qcK7mnD9KHVdMI+mrtkoVd2TSlv6qugsVm8Wy+IJVZKlyspCRWcAcLil6s1CxWWpqrO0nyphe8gVpbUKdbunXN0uVXX2XFC3GxFZP17Z3qyRuqpz07gocV+u4uPqB44dVTZXHs1TtpefVle5vph/Tuxb8t093XQ/h8JXlQeo0jkLXaXv9iYKVQ6HWJHZbnxViLZiP+Q/vVWEg0WsuGzPcJX0Vo2+9Bx9fZhVodnXY1KFaOm1o2oP1OuMOdR6HPwSEZHfeL8SERGRMcyh1uPgl4iI/ObWDNyvZNNvaoiIiIKJOdR6HPwSEZHfWKyDiIjIGOZQ63HwS0REfuMlW0RERMYwh1pPXcmJiIiIiIiIKIzwm18iIvIbL9kiIiIyhjnUehz8XqG43I3oMu9lfBpfE6ncXroBPRLmrX0gLmmkCUsaCe1SPXhxex80h3DBgFP9chL7cAjLL/nqu1K9bJJWJSyn5HIp253XNJA7cQrPqRer7rv0J2V7xNnvle3ugtNi1xVHDijbC775Ttl+eu9hZfu5bwuU7fk/XhD7PlWmXvbK5dimbE8f+r6yvcuaTWIfdjTB0dbqEPy2TDtidQjQNA2azkQsLv9GZDOhslQT6aP3HSgYYw2pC6lvX++j0ic5cSkgE49PWhJI6kL/8kT6Y5L6cNtgySDmUOtx8EtERH7zeDTd9x/xfiUiIiLmUDvg4JeIiPynafpnoTlrTURExBxqAxz8EhGR3zQP9F+yZYNLzYiIiKzGHGq9sKn2/OWXX8LlcqF+/fpWh0JERBRSmEOJiKguCItvfjVNw8MPP4ykpCRcuCAX9CEiotrh/UrhhzmUiCg4mEOtFxaD35UrV+Ls2bMYN24cXnrpJcP7qXB7UK4oBSddai99bS5Vi4xwqtsdHnWV3UuPCRWRTasC7eNaCqmqc0SUelcu9ctJ06KF3csvP6dwTqTqzYiKUTa7Epoo290NW4h9V9ZXPwdVZcpm54mvlO1luZ8p289+sV/s+3TuD8r2Y3tOKds/OVuibC91B/6N8p9rheNY21bZbIdKxVR7mqb/EizermRvZuVQp+PSz89JBZT15lAhhZq4voI9OetoBWqpirCVwr3qrt6q0T73FYTbWuUK0TqXElJsH6jXH3Oo9UL+sufCwkJMnToVixcvRlSUelBGRETm0P5VrEPvD9kTcygRUfAwh1ov5Ae/06dPR2pqKgYPHmx1KEREYe/yJVt6f8iemEOJiIKHOdR6IX3Z8759+7BixQrs3btX1/OKi4tRXFxc/f/8/HyzQyMiCkuaRzNQqZKJ246YQ4mIgos51Hq2GvwWFRX5lUTbt2+PyMhIPPTQQ5g4cSKSk5N19bNo0SLMmjXLaJhERES2wxxKRETkm60Gvzk5ORg/fvxVt8vLy8O+ffuQl5eHtWvXorCwEABQVnapIFFhYSFiYmIQE6MugpSdnY2srKzq/+fn5yMtLa32B0BEFO4MzFrrrnxChjCHEhHZHHOo5Ww1+M3KyqqRUH15++23UVBQgLZt23o9lpCQgClTpmD+/PnK58bFxSEuLs6rvcrtQaWi2rNUaNEllJ6MFNqd7kr1jgxVezZnxWvNJRc40SLUVZpLqtR/hEXl6uMoFbaPdDYQ+27WVF2NObq8SNleEd1Q2Z54y0Pq7fe+LvYdKT6i/iD4oUv9rUmHXcuV7f+3+kuxhx3nS5Xt5yvk10iomOBoq/s5eitEG+nDjuxcGdujabqrYNqxams4sjqH2pFUIToY+6mbNZr1M/P9Qe+ezBxTSPvS24VU3MjXpz7pFIoxWXnOdT7DV6h6D0N6ranaAzXeZA61nq0Gv3qMHTsWffv2rdG2atUqrFu3Dps3b0br1q2tCYyIKIxpmoH7lZi4bYc5lIgo+JhDrReyg9+2bdt6zVh//PHHcLlcXgmdiIjMwWId4YE5lIgo+JhDrRfySx0REVHweDxGlmq49NyUlBQ0adIECxcutPYgiIiILMAcar2wGvw+/fTTuHDhgtVhEBGRQm5uLk6fPo1JkyZZHQopMIcSEdkXc6g5QvayZyIiCj5N03Tff8T7lYiIiJhD7YCDXz9I1ZujXOp2l7tc2e6oVFfyhVuo6AzAobOqs+ZS/0q1CHWl4gqXuqIzABwrUlenfnDNHmX733/X13dwZrimnrJZqlntq6qzWQZen6Rs377jsLL9/VP8ZsVf4VC92c6Vm43QPPqLzZtUnJ7INA5pGQciBGewYcfbOOWq0fqD1V+JWWjXXU8aUCzccqldCEq1vbSP2mIOtR4Hv0RE5DdNu3QPkt7nEBER1XXModbj4JeIiPzGSpVERETGMIdaj4NfIiLyGxM3ERGRMcyh1guras9EREREREREKvzml4iI/ObRNN3FT4wUSyEiIgo3zKHW4+D3CpWahkodlxaItSI9bnW7UK7NV0VnzSF8OR+hrm/siYpVtp8tUx/XW3tPiH1P6tNB2R6Uqs5EISbcqjpLeMkWSRyOSz8/J11iJlVcFhZYkHNumHCyArVfjLybmPUWFGpvZVKhJDOLB+s9J2aO46RBod72YGIOtR4Hv0RE5DdNM5C4bfCBg4iIyGrModbj4JeIiPymeQws08BZayIiIuZQG2DBKyIiIiIiIgp7/OaXiIj8pmn6L8HiFVtERETMoXbAwS8REfmNxTqIiIiMYQ61Hge/V4hyOhHt8r4SPEIoPRkh1MtzuCuE9ip1xz6qPYtVnaMbKNuP/aTu478Wfapsz51/u9w31crNb/63sn116yFBjoTMVFeqOks8Bu5X0rs9kR5Sdehg7Iv1mf1nh0q7gSQdnfT2p7cSs6/TZ141a/WODFXYFp4lnw997QDgNqlsteq4A/V6ZQ61Hge/RETkN01zQ5OWc/PxHCIiorqOOdR6HPwSEZHfNI+BxK1zeyIionDEHGo9VnsmIiIiIiKisMdvfomIyG+ax2Ng1tqkG7OIiIhCGHOo9Tj4JSIiv2luNzS3zsStc3siIqJwxBxqPQ5+iYjIfwaKdYDFOoiIiJhDbYCD3yskxUahSX3vpYViItSLGUhLGkHnkkaaU/416F3SqPdDbyjb83MeFvugwHC16mp1CESm4yVbJHFCXUjE4VDnUDOXKJJIfVvJacOY6ippuaFwZ+Zhm7UvaWkkI9xCUNLSSKrtA7XUEXOo9Tj4JSIiv7FSJRERkTHModZjtWciIiIiIiIKe/zml4iI/MZZayIiImOYQ63HwS8REfmN9ysREREZwxxqPQ5+iYjIbx7NDYfOxO1hpUoiIiLmUBvg4PcKrRtGo0VCjFd7faf6RecoL1G3e4Rqzw7hFutI7z4vK65Ut7+b96OynVWdicyxTDtidQi2xEu2KNCkWshmVofWuy/WZw4+I7V2PWZVHrZhEWhfMUlVq/V+Xyh1YeR8SMWS9RZR9lV1WXpMf7ui7eqhGcIcaj0OfomIyG+8ZIuIiMgY5lDrsdozERERERERhT1+80tERP5zu6G5dV6CpXd7IiKicMQcajkOfomIyG+aZuB+JRbrICIiYg61AQ5+iYjIb7xfiYiIyBjmUOtx8HuFxucPokl0oVe75hROk1S92eVSNov7cQslnQHER1Uo2x+9qamy/fj5C8r2N3Pzle1T+10v9k2BwSrC3iY42gZ0/+FyzvWcpwsQqs7XEitVksThcMDh8K6LbGaVZqlfO3LaNC4yzlehYqkist5KzHqrIRvhq4Ky7n0JZ0VvhWgpJHeYjfuYQ63HwS8REfnt0qy1vk8jnLUmIiJiDrUDVnsmIiIiIiKisMdvfomIyG+aZuB+JY2z1kRERMyh1uPgl4iI/Mb7lYiIiIxhDrUeL3smIiK/eTxuQz+hYNq0aWjXrh0cDgcOHTpkdThERBRmmEOtF/Lf/JaVlWHu3Ln405/+hJMnT6Jp06YYOXIkFi5cqHtfx1atQFWDa7za49o1V25/TXN1xWVHdIyy3XOxWNle9N0JMab8neoXzzf/OK5s//xcqbgvlQm6tiY9wqXCcDCE0rkKdGVq23N7oLl1JuIQKdc5ePBgPPjgg7jtttusDiVozMyhekm1kM2sDq13X3q7ZkXn0CBVXA4Xga4cbebpk6pDG+EWApNSjry9d7uqzRTMoZYL6W9+PR4PMjMz8dZbb2HmzJnYsmULZs+ejaioKKtDIyIKS5rmrr5sy+8fzdis9aFDhzBhwgR0794dERER6NKli3K7AwcOYNCgQYiNjUWzZs0wefJkVFSol4nzpVevXmjVqpWhWEMRcygRUXAxh1ovpL/5XblyJXbu3Im8vDw0b67+dpaIiELT/v37sWnTJtx8883weDzwKJZ7KCgoQP/+/XH99ddjw4YNOHHiBLKzs1FSUoIlS5ZYEHXoYA4lIgpfzKFqIT34fe211zBixAgmbSKiINE8biBIxTqGDBmCzMxMAMDYsWPxxRdfeG2zbNkyFBcXY+PGjUhMTAQAVFVVYeLEiZg2bRpatGgBAEhLS8P333/v9fzWrVtjz549huILdcyhRETBxRxqvZC97LmyshJ79uxBmzZtMGbMGMTGxqJBgwa46667cOrUKavDIyIKS5rHo/+SLcVssz+czqunqM2bN2PgwIHVSRsA7rrrLng8HmzZsqW6bdeuXTh79qzXT6glbbMwhxIRBR9zqPVC9pvfc+fOobKyEs899xx69+6NjRs34syZM5g8eTLuvPNObN++XXxucXExiov/XXzq2LFjAIDTF9XFoi4U/qRsrxcVre4gSl3wSitR76e46IIUKk6Xlinbz7srle0XUCXui4Lr+HF1UTIKbaHyN1aCSzPFVVXmxuup+AkOvbPWVSUAgPz8/BrtcXFxiIuLq1U8Bw4cwLhx42q0xcfHo3nz5jhw4ECt9h3OApFDfxQGzXqLTukuUuVj+4AXvNL9jLpLb6EjI+WGpBpFegs2Gal1JPetfkBvkSpfMXmEJ0lP0b29j7GX9HvVW3RK6rzSx4FXCYFVCilK3F7Rx/nTP156DnNo2LHV4LeoqMjrF6vSvn376uvWGzRogA0bNiA6+tJAtGnTphg0aBC2bt2K/v37K5+/aNEizJo1y6v9zre3KLYmMmZNCNz0T+Hv8OHDaNu2ba33U79+fSQmJuL8P98z9Px69eohLS2tRtvMmTPx9NNP1yqugoICxMfHe7UnJCTg/PnzuvY1efJkrF27FqdOncJtt92Gtm3b4h//+Eet4gsmq3Pof/bvXYvoiYjshznUf6GSQ201+M3JycH48eOvul1eXh5at24Nh8OBXr16VSdtAOjbty9cLhf2798vJu7s7GxkZWVV///w4cPo3bs3tm/fHhJVyq4mPz8faWlp2LVrV1jcyxVOxxNOxwLweOzs2LFjplZejI+Px3fffYcLF+QrVXzxeDxel2DVdsbabAsWLMCCBQusDsMw5lBzhNP7ABBexxNOxwLweOyMOVS/UMmhthr8ZmVl1UioV+NrJqasTH25MCBfJtCqVSu0bNnS7/7trnnz5jwemwqnYwF4PHYWE6O+DcOI+Ph45QyxlRISElBUVOTVXlBQUOMeprqAOdRc4fQ+AITX8YTTsQA8HjtjDg0/IVvwCri0mPLnn39eI0lv3boVbrcbqampFkZGRETBkJyc7HVf0uXLf5OTky2KKjQwhxIR1W11MYeG9OB30qRJKCsrQ2ZmJt5//3288cYb+O1vf4tbb70V/fr1szo8IiIKsIyMDHz44YcoLCysbsvJyYHT6UR6erp1gYUA5lAiorqtLubQkB78tmrVCtu2bUN5eTmGDx+O7Oxs3H777fjLX/4Ch6/yjz8TFxeHmTNn2u7aeaN4PPYVTscC8HjsLByOpaSkBOvXr8f69etx9OhRFBcXV///zJkzAIAJEyagQYMGGDZsGLZs2YKVK1di0qRJmDBhQvX6hKTGHKrG47GvcDoWgMdjZ+FwLMyhag5NqsFORERkoSNHjqBdu3bKx7Zt24a+ffsCuFTA6ZFHHsH27dvRoEEDjBkzBnPmzEFUVFQQoyUiIrIP5lA1Dn6JiIiIiIgo7IX0Zc9ERERERERE/uDgl4iIiIiIiMIeB79EREREREQU9jj4FZSVlWHGjBlo164doqOj0bp1a0yaNMnqsGrlyy+/hMvlQv369a0OxRC3240FCxagd+/eaNy4MRITE9GvXz98+umnVod2VQcOHMCgQYMQGxuLZs2aYfLkyaioqLA6LENycnKQmZmJli1bIjY2Ft27d8frr7+OcCkfcOHCBbRs2RIOhwNffPGF1eEY9sYbb6BHjx6IiYlB48aNkZGRgdLSUqvDojqCOdR+mEPtgTk0NDCHhq8IqwOwI4/Hg8zMTHz//feYOXMm2rVrh6NHj+LgwYNWh2aYpml4+OGHkZSUhAsXLlgdjiGlpaWYN28exo4diylTpsDlcuHVV19Fv379sGXLFvTv39/qEJUKCgrQv39/XH/99diwYQNOnDiB7OxslJSUYMmSJVaHp9uiRYvQtm1bvPDCC0hKSsIHH3yA8ePH49ixY5g5c6bV4dXas88+i6qqKqvDqJU5c+bgueeew7Rp0/DLX/4SZ8+exUcffQS32211aFQHMIfaE3OoPTCH2h9zaJjTyMvy5cu1hg0baidPnrQ6FNOsWLFC69Chg/b73/9ei42NtTocQ6qqqrTz5897tSUnJ2uDBw+2KKqrmzt3rhYbG6udO3euuu2VV17RXC6XduLECQsjM+bMmTNebePHj9fi4uI0t9ttQUTmycvL02JjY7Vly5ZpALTdu3dbHZJuBw4c0CIiIrT333/f6lCojmIOtSfmUHtgDrU35tDwx8ueFV577TWMGDECzZs3tzoUUxQWFmLq1KlYvHhxSK/Z5XK5kJCQ4NXWrVs3nDx50qKorm7z5s0YOHAgEhMTq9vuuusueDwebNmyxcLIjGncuLFXW48ePVBcXIyLFy9aEJF5HnnkEUyYMAGdOnWyOhTDVq5ciXbt2iEjI8PqUKiOYg61J+ZQe2AOtTfm0PDHwe/PVFZWYs+ePWjTpg3GjBmD2NhYNGjQAHfddRdOnTpldXiGTJ8+HampqRg8eLDVoZiuqqoKO3bswA033GB1KKIDBw4gOTm5Rlt8fDyaN2+OAwcOWBSVuT777DNce+21aNCggdWhGLZ+/Xp89dVXmDFjhtWh1MqOHTvQtWtXzJ49G02aNEFUVBRuueUW7Ny50+rQqA5gDg0tzKH2wBxqH8yh4Y+D3585d+4cKisr8dxzz+HcuXPYuHEjli1bhs8//xx33nmn1eHptm/fPqxYsQKLFy+2OpSAWLBgAU6cOIEnnnjC6lBEBQUFiI+P92pPSEjA+fPngx+QyT777DO8/fbbePLJJ60OxbCSkhJkZ2dj7ty5iIuLszqcWjl16hS2bNmC1atX449//CPeffddOBwOpKen4/Tp01aHR2GOOTS0MIdajznUXphDw1+dKHhVVFSE/Pz8q27Xvn17eDweAECDBg2wYcMGREdHAwCaNm2KQYMGYevWrZYWhdBzLJGRkXjooYcwceJEr1lTu9BzPD+/3OyDDz7AzJkzMWPGDKSmpgYqRPLh+PHjGDlyJPr164dHH33U6nAMmz17Npo2bYp7773X6lBqzePx4MKFC1i/fj26desGAOjZsyfatm2LJUuW4JlnnrE4Qgo1zKHMoRQYzKH2wxwa/urE4DcnJwfjx4+/6nZ5eXlo3bo1HA4HevXqVZ20AaBv375wuVzYv3+/pYlbz7Hs27cPeXl5WLt2LQoLCwFcWn4CuHQPU0xMDGJiYgIZ7lXpOZ4rP3zs2bMHw4cPx6hRo2x/iU1CQgKKioq82gsKCmrcwxRqCgsLkZGRgUaNGuHPf/4znM7QvJDk6NGjeOGFF7Bx48bq39Plaq4XLlzAhQsXQmppk4SEBDRq1Kg6aQNAYmIievTogf3791sYGYUq5lDmUCsxh9obcyiFmtD8S9MpKysLmqZd9Sc5ORnXXHMN2rZtK+7rcuKzip5jOXDgAAoKCtC2bVskJCQgISEBzz33HC5evIiEhAQ8/fTTlh6L3uO57NChQ8jIyECvXr2wfPlyC6P3z+XfxZUuz9bb9duEqyktLcXgwYNRVFSEzZs3o2HDhlaHZNjhw4dRUVGBX//619V/J0OGDAEA9OvXDwMHDrQ4Qn06d+4sPmb1+xeFJuZQ5lArMYfaG3MohZo68c2vXoMHD0ZOTg7KysqqZ3W3bt0Kt9sdUpcGjR07Fn379q3RtmrVKqxbtw6bN29G69atrQmsFvLz85Geno7WrVtj/fr1iIyMtDqkq8rIyMDcuXNRWFhYfd9STk4OnE4n0tPTrQ3OgKqqKtx1113Iy8vDp59+imuvvdbqkGqle/fu2LZtW422ffv24YknnsCyZcvwH//xHxZFZszgwYOxcuVK7Nu3D927dwdw6T7MPXv22Pq+PgofzKH2xRxqPeZQe2MODX8OTdM0q4Owm2PHjqFbt25IS0vDY489hjNnzmDq1Kno0KEDPvnkEzgcDqtDNOzpp5/G888/X31JSigpLS3FL3/5S3z//fdYs2YNkpKSqh+Ljo5Gjx49LIxOVlBQgM6dO6Njx46YNm0aTpw4gezsbPzmN7/BkiVLrA5Pt/vvvx+vvfYaXnjhBfTq1avGYz169KhxqWOo+vjjj9GvXz/s3r0bN910k9Xh6OLxeNCzZ0+cP38ec+bMQb169TBv3jx8++23+Prrr9GsWTOrQ6QwxxxqT8yh9sAcam/MoXWAeUsGh5e9e/dqffr00WJiYrTExERt3LhxWkFBgdVh1drMmTO12NhYq8Mw5PDhwxoA5U+bNm2sDs+nb775RhswYIBWr149rUmTJtqTTz6plZeXWx2WIW3atBF/D4cPH7Y6PFNs27ZNA6Dt3r3b6lAMOXPmjDZ69GitYcOGWr169bT09HRt//79VodFdQhzqP0wh9oDc6j9MYeGN37zS0RERERERGGvThS8IiIiIiIiorqNg18iIiIiIiIKexz8EhERERERUdjj4JeIiIiIiIjCHge/REREREREFPY4+CUiIiIiIqKwx8EvERERERERhT0OfomIiIiIiCjscfBLREREREREYY+DXyIiIiIiIgp7HPwSERERERFR2OPglygIdu7cCYfDgXXr1lW3nT17Fh06dMDgwYPhdrstjI6IiMi+mEOJyCwOTdM0q4Mgqgt+/etf44cffsD//d//oaKiAv3790dpaSk++eQT1K9f3+rwiIiIbIs5lIjMwMEvUZB8+eWXuOmmm/DOO+9gw4YN2L59O3bs2IHmzZtbHRoREZGtMYcSkRk4+CUKomHDhuGDDz5AZGQkPvvsM3Tp0sXqkIiIiEICcygR1Rbv+SUKog4dOqCkpAS/+93vmLSJiIh0YA4lotriN79EQbJ69Wrcd999SElJQUFBAQ4ePIiIiAirwyIiIrI95lAiMgO/+SUKgm3btmH8+PF48cUX8eabb+LIkSNYuXKl1WERERHZHnMoEZmF3/wSBVheXh569eqFe++9F4sWLQIAjBo1Cp9//jm+/fZbREVFWRwhERGRPTGHEpGZOPglCqDTp0+jZ8+eSElJwZ///Gc4nZcutsjLy0OXLl3w8ssvY+LEiRZHSUREZD/MoURkNg5+iYiIiIiIKOzxnl8iIiIiIiIKexz8EhERERERUdjj4JeIiIiIiIjCHge/REREREREFPY4+CUiIiIiIqKwx8EvERERERERhT0OfomIiIiIiCjscfBLREREREREYY+DXyIiIiIiIgp7HPwSERERERFR2OPgl4iIiIiIiMIeB79EREREREQU9jj4JSIiIiIiorD3/wASEhbNPBR0DgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(2, 2, figsize=(10, 8))\n", "axs = np.ravel(axs)\n", "kw = dict(cbar=True, log=True, vmin=1e-1, vmax=1e1, cmap='RdBu_r')\n", "bins = p2d.bins\n", "hl.plot2d(axs[0], p2d.eval(bins=bins) / h_truth_p2d.eval(bins=bins),\n", " clabel='$p(x,y)/\\mathsf{truth}$: hist', **kw)\n", "hl.plot2d(axs[1], k2d.eval(bins=bins) / h_truth_p2d.eval(bins=bins),\n", " clabel='$p(x,y)/\\mathsf{truth}$: KDE', **kw)\n", "hl.plot2d(axs[2], s2d.eval(bins=bins) / h_truth_p2d.eval(bins=bins),\n", " clabel='$p(x,y)/\\mathsf{truth}$: spline fit', **kw)\n", "hl.plot2d(axs[3], h_model_p2d.eval(bins=bins) / h_truth_p2d.eval(bins=bins),\n", " clabel='$p(x,y)/\\mathsf{truth}$: model fit', **kw)\n", "for ax in axs:\n", " ax.set_xlabel(r'$x$')\n", " ax.set_ylabel(r'$y$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Whoa, the outliers here look pretty bad. Comparing by difference is a little less pessimistic:" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(2, 2, figsize=(10, 8))\n", "axs = np.ravel(axs)\n", "kw = dict(cbar=True, vmin=-.03, vmax=.03, cmap='RdBu_r')\n", "bins = p2d.bins\n", "ref = h_truth_p2d.eval(bins=bins)\n", "hl.plot2d(axs[0], p2d.eval(bins=bins) - ref,\n", " clabel='$p(x,y)-\\mathsf{truth}$: hist', **kw)\n", "hl.plot2d(axs[1], k2d.eval(bins=bins) - ref,\n", " clabel='$p(x,y)-\\mathsf{truth}$: KDE', **kw)\n", "hl.plot2d(axs[2], s2d.eval(bins=bins) - ref,\n", " clabel='$p(x,y)-\\mathsf{truth}$: spline fit', **kw)\n", "hl.plot2d(axs[3], h_model_p2d.eval(bins=bins) - ref,\n", " clabel='$p(x,y)-\\mathsf{truth}$: model fit', **kw)\n", "for ax in axs:\n", " ax.set_xlabel(r'$x$')\n", " ax.set_ylabel(r'$y$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Random Sampling**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Histlite allows random sampling in any number of dimensions. As an example, consider:" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[array([-0.45783874, 1.24470245, -5.91706543, -1.34477581, -2.51068398]), array([-2.05939332, 1.60445268, -4.03093146, 2.37074818, 0.24657302])]\n", "[array([-0.45783874, 1.24470245, -5.91706543, -1.34477581, -2.51068398]), array([-2.05939332, 1.60445268, -4.03093146, 2.37074818, 0.24657302])]\n", "[array([-0.46891937, 1.34235123, -5.95853271, -1.1523879 , -2.45534199]), array([-2.94969666, 0.68222634, -3.69546573, -3.01462591, -0.59671349])]\n" ] } ], "source": [ "N, seed = 5, 1\n", "print(h2d.sample(N, seed=seed))\n", "print(p2d.sample(N, seed=seed))\n", "print(s2d.eval(bins=100).sample(N, seed=seed))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note, however, that with more dimensions, far increased statistics are required in the input data for the sampling to be stable with respect to modeling choices." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also possible to sample from a subset of dimensions, after specifying some of the parameters:" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[array([-3.1813819 , -0.31052272, 0.22877188, -1.08092935, -2.56617245])]\n", "[array([ 0.77583912, -0.31469618, 0.39610514, -0.561862 , 1.43721256])]\n", "[array([ 0.52094815, -0.71161515, 0.15890128, 1.33945822, 3.50148407])]\n" ] } ], "source": [ "for x in [-3, 0, 3]:\n", " print(h2d.sample(N, x, seed=seed))" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[array([ 0.75619039, -4.41946809, -3.59811482, -1.96971002, -4.14503631])]\n", "[array([ 3.36920101, -1.70583997, -2.80190889, 1.60756293, 0.92207147])]\n", "[array([3.46081916, 1.11091622, 5.1405659 , 3.59227166, 1.20438741])]\n" ] } ], "source": [ "for y in [-3, 0, 3]:\n", " print(h2d.T.sample(N, y, seed=seed))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One of the primary design goals of histlite is to serve as a convenient foundation for various higher-level analysis — especially maximum likelihood analysis. It was originally written to support astrophysical neutrino sources in [IceCube](https://icecube.wisc.edu/). Recently, histlite is also being investigated as a building block in neutrinoless double-beta(0νββ) decay searches by [nEXO](https://nexo.llnl.gov/)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we've surveyed features supporting 1D and 2D PDFs. It's no problem to work with higher dimensional PDFs, with the exception that SciPy spline routines become extremely RAM-intensive as the dimensionality increases." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What's next? Contact me if you have any requests — I think the next tutorial will cover slicing, projections, and more details on histogram arithmetic." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 4 }