{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Efficiency of different stimulus ensembles for systems identification\n",
"\n",
"In reverse correlation, we approximate a nonlinear, stochastic function $y \\sim f(X)$ locally by a linear approximation weighted by a gaussian window. We compute this approximation by computing the response $y$ of the system for a variety of normally distributed inputs $X \\sim N(0, \\sigma^2)$. An estimate of the response is given by a sum of the stimuli weighted by the responses, $\\hat w = \\frac{1}{N} X^T y$. When these responses are action potentials, or spikes measures from biological neurons, the estimate $\\hat w$ is also called the spike-triggered average.\n",
"\n",
"How good is this estimator? Not very good. It can, however, be significantly improved by careful consideration of the properties of this Monte Carlo estimator, namely by changing the input ensemble to use antithetic sampling, or by shifting the distribution of the response.\n",
"\n",
"To demonstrate this, I use an example nonlinear function to be estimated via this black-box method. It consists of weighting the input with a windowed sinusoid, followed by an expansive nonlinearity that drives a Poisson process."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"pycharm": {
"is_executing": false
}
},
"outputs": [],
"source": [
"%config InlineBackend.figure_format = 'retina'\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"import plotnine\n",
"import seaborn as sns\n",
"\n",
"sns.set(style=\"darkgrid\")\n",
"\n",
"\n",
"class LNP:\n",
" \"\"\"A simple LNP model neuron.\"\"\"\n",
" def __init__(self):\n",
" rg = np.arange(-31.5, 32.5)\n",
" self.w = np.cos(rg / 20.0 * 2 * np.pi) * np.exp(-rg ** 2 / 2 / 10 ** 2)\n",
" self.w /= 4\n",
" self.input_size = len(self.w)\n",
" self.rate_multiplier = 1\n",
" \n",
" def forward(self, X):\n",
" \"\"\"The nonlinearity is $\\log(1 + \\exp(x))$\"\"\"\n",
" return np.random.poisson(self.rate_multiplier * np.log(1 + np.exp(X.dot(self.w) - .5)))"
]
},
{
"cell_type": "code",
"execution_count": 2,
"outputs": [
{
"data": {
"text/plain": "Text(0.5, 1.0, 'Model weights')"
},
"metadata": {},
"output_type": "execute_result",
"execution_count": 2
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 386,
"height": 266
}
},
"output_type": "display_data"
}
],
"source": [
"N = 10000\n",
"model = LNP()\n",
"\n",
"plt.plot(model.w)\n",
"plt.title(\"Model weights\")"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n",
"is_executing": false
}
}
},
{
"cell_type": "code",
"execution_count": 3,
"outputs": [
{
"data": {
"text/plain": "[]"
},
"metadata": {},
"output_type": "execute_result",
"execution_count": 3
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 364,
"height": 251
}
},
"output_type": "display_data"
}
],
"source": [
"X = np.random.randn(N, model.input_size)\n",
"Y = model.forward(X)\n",
"\n",
"# Measure the convergence of the model as a function of N\n",
"plt.plot(Y)"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n",
"is_executing": false
}
}
},
{
"cell_type": "markdown",
"source": [
"Calculate estimates of the weights using reverse correlation. This is given by:\n",
"\n",
"$$\\frac{1}{N} X^T y$$"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% md\n"
}
}
},
{
"cell_type": "code",
"execution_count": 4,
"outputs": [],
"source": [
"def estimate_w_hat(X, Y):\n",
" N = X.shape[0]\n",
" # remove the mean.\n",
" estimates = np.cumsum(X * (Y.reshape((-1, 1))), axis=0)\n",
" w_hat = 1 / np.arange(1, N + 1).reshape((-1, 1)) * estimates\n",
" return w_hat\n",
"\n",
"def calculate_rho(w_hats, w):\n",
" rhos = w_hats.dot(w) / np.sqrt((w_hats ** 2).sum(1) * (w ** 2).sum())\n",
" assert rhos.shape == w_hats.shape[:1]\n",
" return rhos"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n",
"is_executing": false
}
}
},
{
"cell_type": "code",
"execution_count": 5,
"outputs": [
{
"name": "stderr",
"text": [
"/home/pmin/miniconda3/envs/brian-notebooks/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in true_divide\n",
" if __name__ == '__main__':\n"
],
"output_type": "stream"
},
{
"data": {
"text/plain": "Text(0.5, 1.0, 'correlation between estimated weights and true weights')"
},
"metadata": {},
"output_type": "execute_result",
"execution_count": 5
},
{
"data": {
"text/plain": "",
"image/png": 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3336bcRzHQkNDhXs/Y7bLzf2UTVuuX7/OWrZsyVq1asX27dtXbl7Pnj0Zx3Fs/vz5No/ns88+E+5ROp2OvfXWW4zjOPbEE09YHM/x48cZx3EsODiY/frrr8L0O3fusGeffVbY3qpVq6qUdlvnhzEmbKtTp04sPj6eMVaaR1qt1mJ+TExMuXWLioqE+UlJScL0S5cusdatW7PWrVuz7777jplMJsZY6XN3x44drE2bNqx169bs8uXLlab9wIEDjOM49sILL1hMv379urBvjuPKPR9Hjx7NOI5jp06dYozd/3PZ2rPi0qVLTK1Ws5YtW7L//e9/wrWbk5PDXn31VSFNkZGRVs91y5Yt2caNG4VroqCgQLjmn376aYt1rD2zGWPsyJEjjOM49tRTT1k8swsLC9mUKVMYx3Fs9OjRlZ7fhxU1g6nnvvnmG+j1egwYMADTp0+HTCYDAMhkMsyePRscx6GgoEAYo3fNmjVgjGH48OGYNGmSMMqESCTC4MGDMWPGDADAqlWrrL4Ce/311+Ho6AgAaNiwYZXmHzhwANeuXUNAQABWrFiBRo0aCcsHBQVhxYoVEIvF2LZtG7Kzsys83qioKMhkMkRGRlrUKgBAeHg4nnnmGQA1G4N1//79iI+PR6NGjbBmzRp4e3sL85o1a4b169dDpVLh/PnzVoc6DAoKwqJFi+Dk5AQAkEgkeOutt6BUKmEymar9qrlx48ZYsWIFXFxcAABSqRQzZsxAly5doNPpsHXrVmHZDRs2oKioCIMHD8Ybb7xhUSPy5JNPCvn7xRdfVLrf1q1bw9PTE1lZWRavfM+ePQuz2YywsDAApc1Uyjp58qRQAwSUDkt45MgRuLq6Ys2aNRY1VD4+Pli1ahUcHR1x6NAh3LhxQ5jH19jNnTtXyFegtGxPmTIFAwYMQFFRETZt2mQ1/XPnzkWXLl2Ev5s3by68Hq6oCVFZ27dvR1paGsLDw/HRRx8JeQoATzzxBBYuXAigtNaTH2ucP1ehoaFo0aKFsLxcLsesWbPQrVs3dO7cGcXFxVVKQ0W6du2KV199FRKJRDhGvoZWLpdj+fLlwnUok8mE2sqYmBgwxgAAOp0Oly5dgkgkwoIFCyyua7lcjpkzZ0Iul4Mxhri4uErTpNPpsG7dOgDAp59+apEHKpUK8+fPR7t27ZCWlmbRTGXjxo0wGo0YPHgwRo0aJbypcHd3x6pVq9CgQYMqn5e6LrvWbNiwAVqtFv369cMbb7wh3HtVKhUWLVpU7i3DvTp37ozZs2dDqVQCKM2buXPnAih9k3Tr1q1Kz4s9y2ZUVBSkUimefvppPPvssxbzWrZsieHDhwOwfS/u0aMH3nrrLeEexacBAAoLCy3W++qrrwAAEydOFGpZAcDPzw+ff/65UP7t6cUXXxTecKlUKuFNy/344osvYDQaMWnSJLz88ssQi0tDK5FIhGHDhuGVV16B0WgUrpuKdO3aFTKZDFevXkVhYaEwnW8yYq1sl5SU4K+//oKTkxM6duwIwL7P5bVr14IxhtGjR+Oll14Srl03NzesXLmy0jcfQ4YMwdixY4VrwtnZGTNnzgQAxMXFIT8/v9Lzwpftnj17WjyznZyc8M4776Bbt24WZf5RQ8F6PXf06FEAKPeqFyi9EaxZswbHjh3DwIEDUVxcjPPnzwOA1TZtQGlbT7lcjrt37+Lq1avl5rdv377C9Fibf/jwYQClwyRau+FxHAeO42AwGKy2wyvr3XffxaVLlzBt2jSr8/kHmUajqXA7FeED8EGDBlkdKcbb2xv9+vUD8O/5L6tHjx4WTSKA0geRr68vgNI2gtUxePBg4bjK4tvZ8683AQg/ygYOHGh1WwMHDoRIJML169crbDfM69mzJwBY9GXgHwoTJkwAAOHVK1DaJjMjIwPBwcHCaBiHDh0CUPqQsfYDz93dXfjhdfz4cQClH9q5ffs2xGKxRaBeFh8g8OuUJRKJhLSX1axZMwBVzwO+7D7zzDPl8hQoPT8uLi7Izs4Wrhe+WcWxY8fw9ddfIyMjQ1heqVRi48aNWLhwofCjtiasHSNfzoKDg4UfeDz+gWwymYRrxMHBAcePH8fFixetjjyj0+mE7Vjrq3GvCxcuIC8vD40aNSr3g5rH52nZvOPL8XPPPVdueVdX1yo3zeDVVdm1hb82X3zxxXLzxGIxRowYUeH61o7f3d1dGH4wLy+vwvUB+5bNcePG4fLly1iyZInV+ZXdi601X/P29hbW46/R4uJiXLhwAYD1shEQEIAOHTpUmt7qquxZV1U6nU4og7buy/y9LCoqCkajscLtOTo6okOHDjCZTDh79qwwnS/br776KgDLsn369GkYDAZ0795dqNCz13O57PFZK9tKpRKDBw+u8Jisle2y96LqlO1du3Zh586dFus0adIEGzdurHYT1IcJtVmvx3Q6nRBwcRxndZmy7TGTkpJgNBohk8ls/sJUKpUIDAzEjRs3kJCQYNGeT6VSWdQs3svWfL6G5LfffsNff/1ldV2+3XtVOgtJJBLodDqcOXMGsbGxSE5ORkJCAq5evYrc3FwAEGoN70dCQgIAoFWrVjaXad26Nfbu3SssW5aXl5fVdfgbYnU7mdpKB5+HCQkJYIyhuLgYaWlpAIDly5fbHANbIpHAaDQiISGh0uHlevXqJbSP5Gtlz5w5A5VKhZ49eyIgIAAJCQlITU1F48aNhYCrbOc9Pv/Pnz+Pl156yep++M5YfP7fvn0bQGkQM27cOKvr8IFjYmIiGGMWwbStssi34axqh2Y+7Vu2bMFPP/1kdRm+Rj0+Ph7t27dHSEgI+vXrhz/++AOffvopPv30U6jVanTv3h29e/fGE088IdSs1ZS1ssY/jK0Fl2XHa7/3GlEoFEhOTkZ0dDQSExORnJyMW7duISYmRjjGqpRdPu9KSkps5jdfU8bnt0ajETqG2xqqsmwnwKqoq7JrjV6vF5azdRyVtcm3da06OjoiLy+vwk7aPHuXTf6aO336NG7fvo2kpCQkJibi2rVrwrPJVpmp6D6p0WiE9VJTU2EwGCCTyWy2G1er1RaBqz3YaxzxhIQE4fqZO3eu1fPLH2tJSQkyMjKEH9y29OrVC6dPn0ZUVBT69u0Lo9GI8+fPIyAgAD169IBKpcKlS5eg1+shl8uttle313M5JSUFWq0WMpnMat8E4P7KdtkfjFUp208++STatWuHS5cu4d1338X777+Ptm3bCmW7sjdXDzsK1uuxsr8cVSpVpcvzrzaVSmWFN2R+W/e+Cq2sk4mt+XwNSVJSUqWfsy/7Ws8as9mML7/8Eps2bbI4fgcHB4SEhMBsNtu88VQVf9wV1S7x86y9LuaDJVuq+0PCVt7y041GIwwGg0Varl27Vul2KzvXwL+vXM+dOwej0Yjs7GzExcUJNTSdOnVCQkICzp07h8GDBwu1i2U7y/H5f/fu3Upr8/k08esYjUahVs0Ws9mM4uJii+C8sjyoKj4dVWlWVfZ8rly5Etu2bcPOnTtx48YNxMTEICYmBhs2bICvry/mzp1b7Zpia6y9ceFZexNgS2pqKhYtWoRDhw5ZlE8PDw/0798fJ06cqNKraODfc1ZSUlJp3vHLFhQUCNNslffqNIMB6q7sWsNXIgC2j6+y2uyqdPKrCnuWze3bt2P16tUWNfQymQytWrWCWq22eOt3r6reJ/nzqlQqbZbp6paNqqhJs5eyyr7Fq0rzu6rclyMiIrB48WKhRvvy5csoLi7Gs88+C5lMhrCwMJw8eRKXL19Ghw4dcOLECYjFYos3cfZ6LvPP4YrypzbKtlwux7fffouNGzdiz549SExMxKVLl3Dp0iWsXr0aLVq0wIIFC/DEE0/UeF/1EQXr9VjZnt4lJSWVftyHv2D4WgtbATt/EVflB0BV8AHFqlWr0L9//xpta+XKlVi3bh2kUikiIyMRHh6OFi1aoGnTppBKpfjss89qHKzzx11RUwn+5mWvc1QRW6+R+eBcoVBALpdbBG5nzpyxy9cTHR0d0bFjR0RFReHSpUtC7SA/lGDnzp2xfft2nDt3Dn379kV0dDS8vLwsalL4dM2ePdtmLfm9+PPKcRz27dtX4+O4X0qlEoWFhdi1axeCg4OrvJ5EIkFkZCQiIyORlpaG06dP49SpUzh69ChSUlIwffp07Nixo1rbfFA0Gg3GjBmDxMRENGnSBC+99BKCg4PRvHlzoXax7GhSleHzu3fv3lVqgwvA4kuStu5lVWmCU1ZdlV1ryt4niouLrR6fPfowVIW9yuaOHTvw/vvvAygdWSgiIgItWrRAQEAA5HI5tm/fXmGwXlV8EyyNRlPuDRqvumXDHqxVulhLB5/3KpUK0dHRdtl3s2bN4O/vj/j4eGRkZAjNVPgmWZ06dcLJkydx9uxZNGzYEMnJyQgNDbV422av5zJ/fBXFFbVVthUKBaZMmYIpU6YgPj5eKNsnTpzArVu3MGHCBPz222823+o8zKjNej3m4uIiBGS2av62b9+OV155Bdu2bYOfnx+kUikMBoPVMWKB0gcl/8rL39/fLunkt1NR7WR0dDRu3rxZ4U3XYDDg22+/BQAsXLgQ7733Hvr374/AwEDh9T7/2q4m+HbN169ft7kM3z65psN5VYWtV5B8+oKCggCU1i7xN2Nb59pkMiEqKgqJiYlVbgrCty09ffq00GmJD3j4/587dw5nzpyBwWAoN351VfL/2rVruH79uvADiV8nKSkJer3e6jpZWVk4f/68Ra2evVUl7WfPnkVsbKyQzqKiIly+fBkpKSkASjsiDh06FMuWLcPRo0fBcRxMJlOF40nXpoMHDyIxMRGurq744YcfhDHO+UBdp9NVqc0oj++UV9E5S05OxsWLF4WOaw4ODsJwqrauu6p0br1XXZRda5ydnYUAISYmxuoytu7J9mTPsskPozht2jR88sknGDhwIDiOE2pJ7XEvBko72MvlchgMBqGJ1b1qcwxtvjOrtftS2W988Pz8/CCRSFBSUmLznBQVFeHs2bNITk6u8ptXvpa8bNkODw8H8G/Qfu7cOatvjAD7PZcDAgIgk8lgMBhsPqtqo2zn5ubir7/+Qk5ODoDS5/jIkSOxevVq/PHHH/Dw8EBJSQkOHjz4wNNSFyhYr+f4Gq89e/aUm8cYw48//ogzZ85Ap9MJHVMAYNu2bVa3t2PHDhgMBri6uqJNmzZ2SSP/ANyzZ4/VtmdJSUmIjIzEoEGDKqx5yMnJQUlJCQDr7bizs7OFDp/3dtLha2OqciPkH/A///yz1dd/6enpQsez6tQ43q+ff/653PEwxrB9+3YAlu0Q+bR///33Vre1b98+jB07FoMHDxbOJVDx+Skb8Jw/fx6Ojo5C2XB3d0dQUBCSkpKE9Nz7UODz/8CBA8KNtKzCwkKMGTMGgwcPFj7wEhQUBF9fX2g0Gpsf8Vm2bBlefvllvPXWW1bn2wOf9h07dlg9N+fPn8fo0aMxcOBApKamAigdD3rYsGH48ssvyy3v7Ows1FiWbctbnfJpb3zg1rhxY6tvY/bu3Su0uS37A69sDVrZdHfo0AEqlQp37tyx+pE1oPRbCcOHD7fonMiPxbxz585yy5eUlNj8AFVF6qLs2sJve/fu3VbnW/uA0/2y9db0fsqmLXy5sXYv1mq1QsBf3Q/e3UupVKJbt24ArJeNjIwMm+XMlpr0GeGb3FgLTPnnQllOTk5C0wtbz91NmzZh9OjRGD16dJX7NPFl88SJE0LncL4DeZs2beDk5ISLFy8KaSr7nCi7fk2fywqFQhjxyVoZNhgMNvv73A9beTdz5kyMHDlS+AZLWV5eXkJ7+pqWx/qKgvV6bsKECZDJZPjpp5/w9ddfCwXRYDBg2bJliI6Ohqurq9Abe8qUKRCLxdi+fTvWr18vBIGMMezZs0f4SlvZYSBr6tlnn0VAQAASExMxbdo0i9qHhIQETJkyBUajEa1atbIY5u1e7u7uwo1y48aNFjUb169fx/jx44V2tffefPhXdXxAVZFnnnkGzZo1Q1ZWFqZMmWJRGxIfH4+JEydCo9EgNDS00o892ENMTAzef/99oXZDp9Nh/vz5uHTpEtzc3CxG9pkwYQIcHBywb98+LF++3OI8nDx5UviozWubDnwAACAASURBVLBhwyxexVd0fvhXrhcvXkR8fDw6dOhg0VGx7GgYCoWi3AggnTp1QseOHVFQUIBJkyZZfNUwIyMDU6ZMQX5+Pjw8PDBo0CAApcHrlClTAAAff/yxRU2f0WjE119/LQQ9NWmeUJmRI0fCzc0N58+fx9y5cy1+vF25ckX4ofDkk08KNcr8Mfzwww/Yu3evRSB77tw5Iegs236Ub6JWlfJpb3y6Y2JihBEigNJ7yM6dO/Hxxx8L08qWp7JNO8qm28nJSejQOXPmTItASqvV4uOPP8aZM2cgkUjwyiuvCPPGjx8PlUqFgwcPYtWqVcK9qaCgAG+//bbVWsvK1EXZtWX8+PFQKBT47bffsGbNGuFerdfrsXjxYovRO2qqbFO+sn0N7qds2sKXm++++87ircKdO3fw2muvCeeqKp0DK8M/t7Zs2YLvv/9eSHdGRgamT59e7X3YOj9VERoaCqB0uEK+HwNjDPv378f69ettpl8kEuGrr77Ct99+K+Q9Ywx79+4Vmou98sorVR6GMjw8HCqVCr///jtKSkosvnIskUjQsWNHaLVanDt3Dr6+vuUGlbDXcxkAJk+eDJFIhM2bN1sEy0VFRZg9e7bVgRjuF593d+/etYgB+LK9du1anDx50mKdX3/9FX/99RfEYrHww+9RQ23W67mWLVviww8/xLvvvotPP/0UX3/9NXx9fZGUlIT8/HwoFAosW7ZMaBPaqVMnzJs3D4sWLcKyZcuwYcMGNG3aFGlpacLF+sorr+Dll1+2WxrlcjlWr16N8ePH49ixY+jVqxeCgoJgMBiQkJAAk8kEb29vrFmzpsLtSKVSTJ06FYsXL8bevXtx9OhRNGnSBPn5+RbtUc+ePVuuM5harcaRI0ewefNmnD59GgMGDMCkSZMqTO+ECRNw7tw5PPnkkwgKCoLZbMatW7fAGINarcby5csfyPi+9+rXrx927dqFP/74A02bNhXyVqVSYeXKlRbtEIOCgrB06VLMmjUL69atw5YtW9CsWTPk5uYKNWFdu3YVxrDlVXZ+IiIihCZIZR8K/N/8p6e7dOli0ZeCt2zZMuGz8f3790dQUBDEYjHi4uJgMBjg5OSEr776ymLdF154Abdu3cKmTZvw9ttvY/HixfDy8kJycrLQLGPq1Kl26ahpi7u7Oz7//HNMmTIFu3fvxv79+xEUFISioiIhGFGr1Vi8eLGwTseOHTF27Fh88803mDVrFpYuXQofHx+LPBg+fLjFQ4MfIeT333/HoEGDEB4ejvfee++BHVdZffv2RZs2bXD16lVMnjwZfn5+aNCgAZKSklBQUABXV1c0bdoUMTExFteVq6srvL29kZ6ejsjISPj5+WHJkiVo0aIFpk6diri4OPz2228YO3YsfH194erqisTERCGwW7BggUW76MaNG2Pp0qWYMWMGVq9eje+//x4+Pj6Ii4uDRqNBr169rA6VWpm6KLvW+Pn54cMPP8ScOXOwcuVKbNmyBb6+vkhMTERBQYHwRVh73FP8/f2hUCig1WrxzDPPwMvLC5s2bbqvsmnL9OnTMX36dERFRaFHjx5o1qwZiouLhdGZOnfujDNnziArK8tmW/OqCgkJwbx587Bw4ULMnz8fa9euhbu7O27evCkEYKdOnarx+alKR9XJkyfj1KlTiIuLQ9++fdG8eXNkZ2cjIyMDTz31FBISEso1++jSpQvmzJmDJUuWYNGiRVi9ejX8/PyQnp4uPHcHDx6M0aNHV/kY5HI5unTpItScWyvb/HCh1r6Oa6/nMlA6tvtbb72Fzz77DPPmzcOqVavg4eEhXLv8/cUeZbtFixYQiUTIzMxE//794e3tjW3btuE///kPDh8+jN9//x3jx4+Ht7c3GjVqZNE5/O2337Y52tTDjmrWHwJDhw7Fzp07MXDgQEilUsTExEAul2PQoEHYvXt3uaYakZGR2L59OwYOHAiZTIbr169DLBajf//+2LRpk/ChDXsKCgrC3r17MXnyZAQGBiIhIUH4hPO4cePw448/VumT0WPGjMG6devQsWNHSCQS3Lx5E3q9Hn379sXmzZuxdu1ayGQy3Lp1y6KH+8SJEzFkyBA4OTkhLi6u0jZ0zZs3x549ezB58mTh88dpaWlo27Yt5s6di507dwptbB+0kSNHYvny5fDz88OtW7cgkUgwaNAg7Nmzp9wNGgAGDBiAPXv24IUXXoCrqytiYmKQm5srpH39+vXlet9Xdn7KtuXl20WW/Zt/EN/7qpXn5eWFnTt34v/+7//Qpk0bpKSkIC4uDp6enhg+fDj27t1r9XX6O++8gw0bNqBPnz4wm83Ch2e6d++ONWvWYPr06ZWfwBrq2LEj9u3bh9GjR8PHxwe3b99Geno6OI7DtGnTsG3btnIP+dmzZ2PJkiUIDw+HyWTCjRs3UFJSgh49emDVqlXCGw7ekCFDMGbMGLi7uyMhIaHSD+zYk1QqxZYtWzB16lS0aNECWVlZiIuLg4eHB8aNG4d9+/YJb2/K1rwDpZ3T2rZtC61Wi6SkJNy5c0fY5ooVK7B8+XJ069YNxcXFiImJgYODA/r164etW7da/bT6U089he3bt6N///4QiUSIjY2FWq3GV199Va49eVXVVdm15j//+Q++++47REREwGQy4ebNm/Dz88N///tfjB07FgAqDfqrwsnJCStWrECLFi2Qn5+PtLQ0IW+qWzZteeqpp7B161Z0794djo6OiImJQWFhIbp164bPP/8cmzdvhqenJwoLC8t9fOp+REZGYvPmzejRowe0Wi0SEhLQsWNHbN26tdKhAe9V0fmpTEhICHbs2IH+/ftDqVQiNjYWLi4umDdvHlauXGmzmcaYMWOwY8cODBw4EHK5HDdu3IBGo0HHjh2xZMkSLFmypNo/aPiyLRKJypXtss8GW9eOvZ7LADBp0iSsXbsW4eHhKC4uRmxsLFq3bo2vv/5a6MBqj7LdrFkzLFy4EE2bNkVmZiaSkpKQlZUFkUiEZcuWYd68eWjfvj2Kiopw48YNMMbQr18/bNq0yWYF3aNAxOqiESUhhBDyGPnf//6HBQsWoGvXrvjmm2/qOjmE2A3/1n/YsGHCV5+JfVHNOiGEEFJDc+bMwZAhQ8q9neDxwxxWtZaekPpizJgxGDZsGC5fvmx1Pt+GnMr2g0PBOiGEEFJDLVq0wLVr17Bs2TKhjw1Q2sF0/fr1OHz4MGQyGZ5//vk6TCUh1RcYGIjLly/j008/FYZjBUpHcVq4cCFu3LgBV1dXDBgwoA5T+WijZjCEEEJIDZWUlGDEiBGIiYmBRCKBv78/lEql0JFXJpNhwYIFFKyTh05GRgaGDx+OtLQ0yGQyBAQEQCKR4M6dOygpKYFKpcKKFSuEoVSJ/T2QYH337t145513sHXrVmHc76rIyMjA6tWrcerUKWRmZsLHxwfPPfccXn31Vbt9ipkQQgh5ELRaLXbt2oWffvoJSUlJKCwshIeHB8LDwzFq1Ci7fduCkNpWUFCAbdu24ffff0dKSgp0Oh28vLzQrVs3jB49WhjqkzwYdg/Wo6OjMW7cOJSUlFQrWE9PT8fw4cORnp6O1q1bw8/PDxcuXEBmZibCw8OxceNGu40LTgghhBBCyMPArm3WDxw4gPHjx1t8ObGqPvjgA6Snp+ONN97Ajz/+iFWrVuHAgQPo2rUrzp07hy1bttgzqYQQQgghhNR7dgnW09PTMWvWLEybNg1ms1n4JG5VxcXF4ejRo2jatClee+01YbpKpcKiRYsgkUiED1sQQgghhBDyuLBLsL5ixQrs3bsXwcHB2L59OwIDA6u1/smTJ8EYQ+/evct9cKBx48Zo3bo1UlJScPv2bXsklxBCCCGEkIeCXYL1wMBALF26FDt37hQ+q10dfBDeokULm9sHUOlXKQkhhBBCCHmUSO2xkYkTJ9Zo/bt37wIAPD09rc738PAAAGRlZdVoP4QQQgghhDxM6sVHkTQaDQBAoVBYnc9Pv5+Oq4QQQgghhDys6kWwzrdTF4lEVufzo0vS95sIIYQQQsjjxC7NYGpKpVIBKP2ghDU6nQ4AoFQqH8j+zWYGo9H0QLZtjVxeetr1emOt7ZPUPsrnRx/l8eOB8vnxQPn8eKjLfJZKJRCLrVdMV7jeA0hLtfFt1W21Sc/MzLRYzt6MRhPy8zUPZNvWeHg4A0Ct7pPUPsrnRx/l8eOB8vnxQPn8eKjLfHZxUQo/FqqjXjSD4UeBsTU0Y2xsLACA47haSxMhhBBCCCF1rV4E6z169AAAHD58GGaz2WJeamoqrl+/Dl9fXwQFBdVF8gghhBBCCKkTtR6sp6amIjY2Fjk5OcI0Pz8/9OjRA/Hx8Vi5cqUwvaSkBO+++y5MJhPGjh1b20klhBBCCCGkTtV6sD579mw888wz2Lp1q8X0+fPnw8PDA+vWrcOgQYMwffp0PPXUUzh16hR69uyJl156qbaTSgghhBBCSJ2qF81ggNLa9Z07d2Lo0KHIycnB0aNH4eLighkzZuCLL76AVFov+sISQgghhBBSa0SMBi+HXm+sk9FgMjMLa22fpPZRPj/6KI8fD5TPjwfK50eLmTGYzQxSiWW9dF3m8/2OBkPV1YQQQggh9ZTRZEZBsR5mxuDq5ACpRIwSrRFGkxkQAUq5FDJpxQ0lzIxBbOPDk9YwxmAyMxiMZhRrDcgp0MFRIYWzoxwyiRgSsQhSidjmmOFFGgPSs0ugdJBAKhUj6ko6AEAsFsFkZsL2zWYGo8mM3EIdsvK10BlMkIhFkEnEKNGVHmMDlRwZuRo0clGgkYsCJjOD3mCCp5sK8WkFEIlEyC3UwvjPds3mf9MPADKpGFKJCP5eznB1coBKJUeATwN0beV5X2Oe1wUK1gkhhBBC6gBjDPnFekjEItxOzkd8eiGSMgqRlFkkBMhavUkIPEUiQCoRw2C0HDnPUSGFRCyC3lga3GoNJn4H0OhNMBjNkEvF8GnkCKVcAo3eBAepGHKZBAajGTmFWmTmlX6YUiGXQKuv+ociZdLS9Ph7OaNxI0ekZBbhzt0i+5wgAHlFegBASlYxUrKKhek3k/OrtL7BaIbBCNy4k2cx3Ww0oWe7xnZL54NEwTohhBBCah1jpbWqRRoj8ot1cFTI4OZcWnNsNjO713oWaQzIyClBbEo+riXmokhjQH6RHp5uSni6KXE5NhueDVXQ601o6OwAiICmXs5o1dQNTioZxCIAIhGYmSE+rQAGoxl/x+fAYDTD+M+w0xqtEWbGkJWvRbugRmBmBtM/zTFSs4rRws8VcSkFKCjRgzGGgmIDzBW0Ri7WWn5lkzGUC9TvXU6rt96sV280IzG98qYf1QnUgX/Tk5hRiMSMh6cJ0cPUCpzarIParJMHg/L50Ud5/Hh41PNZpzdBIhGVa9t7r4JiPeJSC6BSSCEWieCskkGpkCIzV4PsAm1pUw0zg4ebEhk5GjgqpfBp6AijySw0aQCA2JQCJKQX4FYVakb9vZwhl4nRsIECTgoZfD0d8QTnAWeVHACQna9FbGo+irVG6PQmZBdoYWYMKofSNKZlF0NrMCE7X4u07JKan6w64qySQSwSIb+4tJZZBEClkJYL5u2Jb+oiEYvg1sABOr0JWr0JRpP5n/8qDh+dlLLSNwMGE/L/qR0f1DUAEokIErEIYrEIYlHp/6USMRo6O8C9gQIQAcUaA+7mauDsKIeDVIz8Ej2MRgaDyYy7uSXwdFUCAExmBqWDFGo/VzgqS8+RSASIRCKIxaX/T8ooQmaeRmh2E5teiJb+bggLcq9W0yB7uN826xSsg4J18mBQPj/6KI8fD49CPucUaJFfrEd+kR7ZBVrsORGHxo0cUVCsR0Zu6fNP8k97YgBwcZILARZQ2sziQQaGpLQ5SSMXBSLa+8JkMqOZTwO4OMnhrJLDSSkDwDfpMEMhl0AsFoExhuwCLUxmJgTTYpEIrs6lbcsBACIRHGRiIf91BhNUDqX5aWYM8n+aseQW6eDhooSPuwquzg6VBrKMMaTnlCC3UIe7uRoUlughl0ng4iRHK/+GcHGUP+hTdl+ogykhhBBC7IYxhiKNAXcyihCbmg/vhiq09HdDA5UcRpMZ1xNzcfZaBp5QewAM0BlNiEspQJHGAKOZoVhjwPXEXKvbvrdmmw/UAVgE6kD55hj2JJeJoXSQltunvYkANPF0gpuzAxRyCQqK9fBqqAJjQF6RDjqjGTGJuXimsz8yckrg7qJAalYx8ov10OlNYGBgDNAZTHBzdoCHqxI6vQlJmUXo2sYb3g1VMLHSc66QSyGViP4JqIE/zifBz8MJErEIjRs5ws/TCY0bOUIiFqGBoxyiKtbwyqRii86kIpEIjVyUVVpXIZfCy011P6fOKpFIBB93R/i4O6J1gN02S6ygYJ0QQgipA0aTGXqDCUYzg5NSBrOZYc2PfyMhvUDoVGeN6J8RQEp0/wbQUX+n10aSrVI6SODn4QStwQRnpQwZuRpk5Zd2VvT3coZCLkFqdjGUDlI0dneEo0IKMwPaNHNDSPNGQq0xAJjNDFq9CbmF2tL22f+MhFKkMSDpbhEO/JlkMx1PcB5wd1EgIb0QMqkYjgopfNwd4e/lDLFYhAAfZzRQ2a7tfZA1rg9LR0ZSP1GwTgghhNgJYwyZ+Vrk5GtRpDHgws1MxCTlIbdQB++GKhhNZmE4vMra/NreBywC9epwUsqgkEuQla9FM58GeCEiEO4uCni4KpFbqMP1xFyIRSLkFesQm1KAohI9mno7I7ylF5p6OUEuk1hsz2gyQyIWVblmuDJisQgqhRQqhZPV+cP7BKGgWA9HpQzFWiOMRjPcXRR22Tch9RUF64QQQh5rJVojzlxLR8ydPPx54y48XBV4sXcQ9AYz8ov1SM/VoGNrLzT3Lg1W+ba8RpMZjDFcjc/F2esZSLpbhNQyQ8vdKz2n5h0cm3o54U5G+WHxHBVSNPd1gcnMkJBWgGKtET1CfBDg0wDJmUXoHeqLJh7WA2BewwYKdGvrU630VNYp1d5EIhFcnBwAoN62iSbE3ihYJ4QQ8kDkFuoQ9XcaOrf2RsMGDmAMuJunwYE/k2AymRHKecBoNKOJpxO8G1pvS8sPC5eWXQw3ZwdhFBAA0OiMyCnUwcddZbMzXF6RDll5Wni4KZFfpEN2gRbZ+Vr8dCoBndt44XJsNu7mWg4wkJmnxeof/7aYdvxiivBvqUQElUKGguKatbEWiUprye/l3kCBUf05NHCUQ6M1Qu3vZnF8RRoD8gp1KNIY4OvhaHFOCCGPHgrWCSGE1JjZzHD2WgZyCrVISCvEXzczhXm7jsVZXefE5TTh30+oPdCyqRu2/nET3YK9ceNOHrILtFbXC+M8cKHM9nn+Xs5IzCiEg1wCmUSMIo2hwjQfPJ9clUMrx2hiVQ7UuwV7o30LD7g5O/yTrtJh6hyVMsilYohEpSN6aPUmMAY4yMWQiCuurXZSyizaeRNCHm0UrBNCCKkSxhgKSgxwkIlxIzEPe0/G2+0jKH/FZOKvmNIA/FQlnSWtBeoAhLTo9CboUL0Pu9SEg1wCnb50hJAnOA/0CvVF40aOVV5fJBJB6UCPY0KIdXR3IIQQUimzmWHCJ0fqOhk10kAlg4+7I5xUMuGHwfMRgXB1ckArfzc0bPBvR8WM3BIk3y1Cu6BG8PF2gclkxu2EbOQX66E3mKDRmeDjroKHq9LuX9okhJCyKFgnhBBi1Z2MQpy4lIaYpFwkZ9ruOHmv57oFwEkpQyNXJfy9nJFTqEWxxoimXqUdHF3/6SAIAIUleryx6qTF+lwTF+QU6pCVr8XQnoHoE+aL/GI9Fn93waJpi6+HI4b1CsLNpDxo9UbkFOigbuqKhg0U4Jq4QPPP1xZ9GzlCZzBBUY2PkXi5qSzGpJZISr+iWTagJ4SQ2kBfMAV9wZQ8GJTPj75HKY9LtAbM3/inzXbiFXFzdkAY54EXIprDQS6pfAUrjCYzSrRGOKtkdhsG0F4epXwmtlE+Px7oC6aEEELqhNFkxs9RCXB3UaBrsLfNToomsxnFGiMkEhHSskvw2faL0Oqr17576pC2aOLhCC8bI7jcD6lEjAY0FB8hhJRDwToh5KFhMptx/kYmbibn4XpCLhhjCG7mjmG9m6NYa4Sbc2nzCr3BhNiUfBy6kIK07GI0UMnRJbh0+EB/L+dyQ90ZTWZk5mmw4/BtaPUmxCTlwcddhdeHtoWPuyOMJjNu3MmFq5NDpWNV14Wov9Pw9c/Xhb+/+eWG3fcR0twdbQPd0SfMt97VfBNCyKOMmsGAmsGQB4PyuWZKtAYs/V80FHIJjCaG/GIdcgp0dt+P0kECje7+Rw4Jb+2NEX2aW7TDtre8Ih1OXUmDo0IGjd4IiUiEu3kayKUSFGkMOHklrfKNVNMTag/0CWsCdVNXm2OYPy7oWn48UD4/HqgZDCGE1EBKZhEaNlAgp1CH974+Wyv7rEmgDgDnrqXj3LV0rH6rJ8RiEX46FY+ku0X4Oy6n3LLdQ3xgNJmh05twMykPjgoZRCKgcSNHDO8TBM8yHRqLNAbsPhaLoxdTa5S+qmjkokDLpm5o4eeCLm28a/2rlIQQQmyjYJ0QUueKNAZMX3mirpMhcHN2QG5h9Wrxpy4/XukyJy9b1oAXa40AgIxcDaJvZVVrf9a0adYQYpEIV+Ky4dvIEb4ejtAbzPD1cERGrga+jRzRxMMRgY1d4KSU4c7dQni5qegDO4QQUo9RsE4IqVN/xWRi9Y9XKlwmon1j/BWTCbEI6N+pKSLa+UKlKL19mc0MuYU6bDt0y+JjOe2DGqFfRz+08neDzmBCenYJDEYzfj93R/i6poujHJ1ae6Ftc3e4N1DAvYEDZNLS0Uz2n07AH38mQSGXIvIpDnKZBF//fA1Z+dUfLaU2hHEeeH1o22qt07yxywNKDSGEEHuhNuugNuvkwaB8rppxSw5XOP+rWb0q/fx6WUUaQ63VFLs1dMSQWfuszgtp7g5XJwfkFelwOTa7RvvxdFPijRdCUFhiQGDjBjCZGCT/fLaePHh0LT8eKJ8fD9RmnRBCqsBgNMFoYohLKyg3b8G4cFyNz0GQrwuCmlS/5rc2m3RIJWLs/fQ5/Hj4JqL+TkdsSj5aBbhh2tC2Qg09z2xmSLpbBO+GKmEscpPZDIlYbDGai6uTHHlFegBAcGBDvPlCO+ELmT7u/H5r6QAJIYTUOQrWCSG16kZiLj7ZFm113uq3ekLpIIWfZ/0bHtEWsViEnu0ao2e7xpUu5+/tbDGNf2PQNdgHXYN9HlgaCSGEPLwoWCeE1IoijQGH/0rGnpPxVuc7KqRQOtAtiRBCCCmLnoyEELsqKNZj59Hb8PN0RkS7xnCQS5CSWYT3NpyrcL3/eym0llJICCGEPDwoWCeE2E30zUx8vpsf2SUd3x+6VeHyrzythkQsRngrT8hl1BCbEEIIuRcF64SQGtMbTHht2bEqL99B7YEXewehkavyAaaKEEIIefhRsE4IuW9avRFTPqv8Y0C8Zj7OeHd0B4ge88/XE0IIIVVFwToh5L7ZCtTDW3mibaA7Dl9IRonOhOd7BiKUa1St8dIJIYQQQsE6IeQ+mBnDhKVHrM57c1gIQpo3AgB0a0vDERJCCCE1QcE6IaRaGGN4c9XJctPlMjEGdglA20D3OkgVIYQQ8miiYJ2QOnQ7JR9Lt16Ap5sS3UN8sPNILACgTYAbVAoZZFIxPN2U6BHSGM4qWb34vPxXP19DkcZgMa3vE00wsh9XRykihBBCHl0UrBNSy4o0Bhz6Kxl7y3wcKC27RAjUAeBqQq7FOntOlC77fy+FopW/W7X2l1ekw0ebz8PLTYlxA1uhkUvVRmA5ey0DX/50Vfh7aM9AZOVrcOZqhsVyH4ztiKZezveuTgghhBA7oGCdkFp0OTYbK3Zeuu/1P90WLfx7w+zeEIlEMJsZsgq0yC3Qormvi0Xtu8lsxttfnAIA5BbqMGvtaTRs4IAxT7dEXFqB8COgT5gvhvYMRE6BDl4NVbiVnGcRqAPA7uNx5dIzfwwF6oQQQsiDRME6IVV0OyUfOQVaBDdzh0pheekYTWb8HZ+DqL/Tcf7GXQDA010CMGlIW+j0JvxyJhG3U/JxPTHX2qbvy3gbHTwBwNfDESmZxVbn5RTo8NkOyx8Mhy+k4PCFlGrtv11zd/h7U6BOCCGEPEgUrBNSBeeuZ2Dd3n9rmr+c2QsyqRganREmM8OaH6/gxp08i3V+O52A304nVHkfX86MgEQshkgExKUVIL9Ij8DGDXDmagZ2HLldrfTaCtTtpXMbL0wc1OaB7oMQQgghFKwTUinGmEWgDgCT/nsUI/oE4fvD1Qui79U+qBGmDg0uN/5488Yuwr+f7tQUvUN98fPpBFyJzcadu0U12md1ffFmT1yOzYJXQxVUCik8XJUQ00eNCCGEkFpBwTohldh/OtHq9JoE6jOGt0ebZg2rvLyDXILnI5rj+YjmAICTl9Ow8ZfrFst0au2Fs9cyyq3r467CRxM6QSwSwWA04UpcDiRiEQIbN4CjUgad3oTzN+6CAYhLzcfxS2kAAFcnOaYOaQuVQorObbzv+1gJIYQQcv9EjDFW14moa3q9Efn5mlrbn4dHaTvfzMzCWtsnuT83k/KwZOuFaq836ikOiZnFOB5d2g58QKemOHUlDQUlBjzb1R9Dezavcdo0OiOMJjOcVXKr8/lLW1TNWvAijQGOCmm113sc0bX8eKB8fjxQPj8e6jKfXVyUkMurX09ONeuEVODeQF3t54qYpDyry/Zq3xgikQjBzRoilPOAh4cz/i+yg3BDGNY7yK5pUzpUfPneb7DtpJTd13qEEEIIsT8K1gkpIz2nBD+diseZqxlWg+G3h7dH0t0iLPz2vDBt9Vs9Kw2cCSGEEELuB0UYhPzj9N/p+Orna8LfGp3RYv6yqd0gk4oR2LgBNs7pU9vJI4QQQshjqO6/MwocKAAAIABJREFUXU5IPWA2M4tA3Ro3Z4daSg0hhBBCSCkK1gkB8PYXJyucH8Z51FJKCCGEEEL+RcE6IQAKSgwWfzurLDtZjuzbojaTQwghhBACgNqsEwKjyWzx9wdjO6KplzPMjMFgMEMqFZX7aBEhhBBCSG2gYJ089nILdcK/XZ3kaOpVOgarWCSCg1xSV8kihBBCCKFmMITkFGiFf7s3UNRhSgghhBBCLFHNOnlsZeSU4J31ZyymuVGwTgghhJB6hGrWyWPro83ny01zb0DDMxJCCCGk/qBgnTy2Su756BEANFDJ6yAlhBBCCCHWUbBOHktl26mX1cCRgnVCCCGE1B8UrJPH0sw1UVand2zpWcspIYQQQgixjTqYEgJgUNcAdGrtBbmMhmokhBBCSP1BwTp57M15OQycn2tdJ4MQQgghpBwK1sljwWQ2IzalAEu2Xig3z9WZRoAhhBBCSP1EwTp5ZBUU6zFzTRSMJnOFyzkp6DIghBBCSP1EHUzJI2v+xnOVBuoAoFLIaiE1hBBCCCHVR8E6eegVaQy4cDMTmjLjpt9KzkN+sb7SdT8Y2/FBJo0QQgghpEbo/T95qJkZw5urTsLMGACgT5gv2gc1wmc7LlW4nqNCivde6QBPN1VtJJMQQggh5L5QsE4earkFOiFQB4DDF1Jw+EKKzeXfHNYOIc3dayNphBBCCCE1Rs1gyEPNZK68TTpPJALaBjZ8gKkhhBBCCLEvqlknDzWDseJg3VEhRZCvC5p4OuH5iOa1lCpCCCGEEPugYJ081PSVBOtzIp+AbyPHWkoNIYQQQoh9UTMY8lArW7Me2LgBmno5CX9/MLYjBeqEEEIIeahRzTp5qOmNJuHfCrkEM4Y/gewCLdwbKCASieowZYQQQgghNUfBOnkofX/oFg78mWQxTS6VQCQSoZGLso5SRQghhBBiX9QMhjx0svI15QJ1AJBJqTgTQggh5NFC0Q156OQW6qxOl0qo2QshhBBCHi12awYTFRWFdevWISYmBgaDAW3atMHEiRPRo0ePKm/j4sWLWLt2LaKjo1FSUgJvb2/06dMHU6dOhYuLi72SSh5yxRqj1ektmrjWckoIIYQQQh4su9Ss7969G2PHjkV0dDRCQkIQGhqK6OhoTJgwAdu3b6/SNg4ePIiXX34ZR48ehb+/P3r27AmdTofNmzdj2LBhyMnJsUdSySPgTkZhuWlDejRD9xCfOkgNIYQQQsiDU+Oa9bt372L+/PlwdnbG//73P3AcBwC4fPkyxo4di0WLFqFXr17w8vKyuQ2j0Yj58+fDbDbj888/x1NPPQUA0Ol0eOONN3DkyBGsXr0a7733Xk2TSx4SjDEAsDqii1hsOW3Oy2Hg/KhWnRBCCCGPnhrXrH/33XfQ6/UYM2aMEKgDQEhICCZMmACdTldp7XpMTAyysrLQsmVLIVAHAAcHB0yZMgUA8Oeff9Y0qaSe+/F4HMYtOYwvf7qKycuOYfzSI3jny9PQ6P5t9sIYw+7jccLfQ3oGUqBOCCGEkEdWjYP1EydOAAD69u1bbl6/fv0AAMePH684EeLSZGRnZ8NotGyPnJubCwDUZv0RV1Cix76oBADA2WsZwpdJM3I1mLr8OG4l5wEArsRlW6xHXUoJIYQQ8iirUbDOGMPt27chFosRGBhYbn5AQADEYjFu374tNGuwJigoCD4+PsjIyMCsWbNw584daDQanD59GgsWLIBYLMb/s3en4VFV+fr371TmkDCFgCAzoaKgQYIgoIgg6Dl207Z0K5NDommEbvX/2LagrX1QPIpoo4iiKEFpZRCxnRCnRlQQEBCiBJFgIBBA5gyQOVW1nxeeFCkqCZFKUruyv5/r4rJqr5Vdv6oV4c7K2munpKT4UipMzGUYWr46q9Y+MxZtlWEY2rW/wON4l/NiGrI0AAAAv/JpzXpBQYHKy8vVunVrhYWFeZ88JEStWrXSiRMnVFRUpOjo6GrOIoWGhmrOnDm66667tHLlSq1cudLd1rZtW82fP19XXHGFL6XCxFJnflGnflPnbdCACz2vfejdtXVDlAQAAGAKPoX1kpISSVJkZM13jIyIiJCkWsO6JHXu3FmjRo3Sa6+9pt69eys2Nlbbt2/X0aNHtWDBAl100UVq2bJh1iaHhYUoLq7xZ2j98Zpm88MZy1pqc7ygVB99s8/9vEV0mNq1a94QZdUrxrnpY4ytgXG2BsbZGgJpnH0K65VrzWtT2/KXSnl5eRo/fryOHDmi1157TZdddpkkqby8XNOnT9fy5cv1l7/8RYsXL/alXJhQ2vsZNbbdO66vnl2aXmN7y+jwhigJAADANHwK61FRUZJ+2WKxJpVttc2+L1iwQHv27NH999/vDuqSFBYWpmnTpunbb791/7n00kt9Kbla5eUOFRSU1Pt5a1L509yxY977hVtN1oECr2NPTRqkNi1r/n6pdOu1Cab+DBnnpo8xtgbG2RoYZ2vw5zi3aBGpsLBfH719usA0OjpaUVFRysvL89rFRfpl//S8vDyFh4erefOalyts2rRJknT55Zd7tYWGhmrw4MGSpB07dvhSLvykrNypj7/Zp6nz1mvaq5tUVFrhbhvY23MN+iXxbTyCequYmmfPubgUAAA0dT6F9aCgIMXHx8vpdGrv3r1e7dnZ2XK5XB77r1fn5MmTkqTg4OBq2yuPV1RUVNsO86pwODX5ma+0/MvdOpZfqv1HC3Xv8+vc7WXlTvfjm6+x654/Jnp8/U3D4qs9b1R4iGzV3DAJAACgKfF5n/UhQ4ZIklatWuXVVnls6NChtZ6jctvHr776yqvN6XTqm2++kSRdcMEFPtWKxvfZ5v1exxxOlw7nFiv70Eml/3TcfbxFM+8dhS7r1U6vPjBcL//tKiX2iHUfv2l49SEeAACgKfFpzbokjR49Wmlpae7tFS+66CJJUkZGhtLS0hQREaHx48e7++fk5KiiokJt27ZVTMwvyxjGjBmjzz//XPPmzVNSUpL69esn6ZdlNE8//bR27dqlnj17auDAgb6Wi0a08OMfteb7Q9W2/f2Vb7yOBddywXJoiE3/34195HIZqnC6FB5a/W9hAAAAmhKfw3rHjh01depUTZ8+XWPHjtXAgQNlGIY2btwoh8OhmTNnKjb29IxocnKyDh48qBkzZmj06NGSfpl5nzhxol555RVNmDBBl1xyiVq3bq0ff/xRP//8s9q0aaPZs2fXuEwG5lRTUK9JTFToWfvYbEEKt/F9AAAArMHnsC5JEyZMUIcOHZSWlqYtW7YoLCxMSUlJmjx5sgYNGlSnc9x3331KSkrSG2+8oYyMDG3fvl1t27bVzTffrDvvvFNt27atj1LRSI7ne++u06VdjPYdqfnq667tuWAUAACgqnoJ65I0bNgwDRs27Kz9Vq9e7fM5YH5fff+zx/Prr+im66/optufrHn8a1sGAwAAYEWkIzSIU8WeO/dcf0U3SdKFXVpV23/s1T0bvCYAAIBAU28z60BVwbbT2yq2j41yPz7zrqNpU4aprMKpyHC+FQEAAM7EzDoaRGn56ZtkXTewi/vxbwefftyjQ3PZbEEEdQAAgBqQktAgSspO3+woosqtddvHNtNDt/bTD3tyNfCi8/xRGgAAQMAgrKNBVJ1Zjwz33GqxR4cW6tGhRWOXBAAAEHBYBoMGUVJe/cw6AAAA6o6wjgZRWlbzzDoAAADqhrCOelde4dSRvNM3RWJmHQAA4NwQ1lHvVqzf6/E8it1eAAAAzglhHfUuv7DM43l4GMtgAAAAzgVhHfWuuPT0evWbhsX7sRIAAIDARlhHvdqSeUzpPx13P69691IAAAD8OoR11Ku572Z4PG8ZHe6nSgAAAAIfYR31Ju9Umdexzu2i/VAJAABA00BYR70pKPIM609PHqygoCA/VQMAABD4COuoNyeLKtyPe3dtpdgWEX6sBgAAIPAR1lFvThaVux/HNAvzYyUAAABNA2Ed9ea1j390P24eRVgHAADwFWEd9cLlMmQYVZ5XfQIAAIBzQljHr+IyDO0/Wqi9h096HM86WODx/LJe7RqzLAAAgCYpxN8FIHC8/mmmvkw/6H4+9uqeuqZ/J0nS8YISj749OrRo1NoAAACaImbWUScnCko9grokfbJxn/vxsfxS9+NhSec3Wl0AAABNGWEddVJUWuF1LL+wXGXlTknStzuPuo+34OJSAACAekFYR5088trmao9PfuYrlZQ5dPB4kftYucPVWGUBAAA0aYR1nFVJmaPW9v99/VuP51ERXAoBAABQHwjrOKvS/1vqUpNDJ4o9nvdLiGvIcgAAACyDsI6zcjg9l7VcEt+m1v6xzSMashwAAADLIKzjrKqG9XatInXPHxNr7R8SzLcVAABAfSBV4aycztN3I60M4lPG9a227+TfX9QoNQEAAFgBYR1nVVFlZj3YFiRJatc6qtq+/S9o2yg1AQAAWAHbdkCSdLK4XJ9uylGwLUi/H9JdtqAgd1vV3WAqd3ppEc1e6gAAAA2NmXVIkj5ct1cff5OjD9fvU+rMLzzaHFWXwYT88i1jCwrS5Red59Fv3NU9G75QAAAAC2FmHZKkVVsOeDw/nFus81pH6WRRuWYv/959PMR2+ue7239zoZIS4pSZk68Lu7RSn7PsEgMAAIBfh5l1VOvNz3+SJD339vcexyvXrEtSUFCQ+vaM09irexLUAQAAGgBhHXIZhtexbbtPSJKyD53yOF5WUfsNkgAAAFB/WAZjcRUOlxZ9lllt25k3Q5Kk7dm5DV0SAAAA/g8z6xb35XcHtXbboWrb1mV4Hw8JDqqmJwAAABoCYd3iPtqwr8a2f33iPePOTY8AAAAaD2Hd4n7NfulTxvVV355xDVgNAAAAqiKsW1h5hVM5Rwrr3P+CLq0asBoAAACcibBuYS+8k+HvEgAAAFALwrpFnSou/1U7u1yawPIXAACAxkZYt6hd+wt+Vf9r+nduoEoAAABQE8K6RR045r1W/eLuseoYF11t/45tmzV0SQAAADgDYd2iyso970Q69JIOmvz73goN8fyWmDDSrsdSL1NEGPfPAgAAaGwkMAva8/NJfbIpx/38N4O66A9De0iSrkhsr+xDJyVJF3Ruqav7dfRLjQAAACCsW9LLH2z3eH5+3OklLkP7dNCR3GKVVTj1XwNYpw4AAOBPhHWLMQxDx/JLPY6FhQS7H9tsQRp7dc/GLgsAAADVYM26xezan+917NfcxRQAAACNh7BuMctWZ3kd696+uR8qAQAAwNkQ1i1m7+FTHs97dGiuoKAgP1UDAACA2hDWLcQwDK9jfxl9sR8qAQAAQF0Q1i1kZ47nevV7b+qjltHhfqoGAAAAZ0NYt5AFK3d4PA+xsfwFAADAzAjrFpJ7sszjeXAwww8AAGBmpDULaxYZ6u8SAAAAUAvCukW1iA5Th9gof5cBAACAWhDWm4DVWw/o6aXp+mFvbo19SsocHs8fSRnAlo0AAAAmF+LvAuCb/MIyLfpslyTpx315WjB1mFcI//K7g3r9k0yPY9GRDD0AAIDZkdgCXM6RQo/n23afUK+urfQ/CzbpSF6JRvTrqFVbDnh9nY1ZdQAAANMjrAew4tIKzV7+vcexxf/ZpVMlFSord0pStUFdEktgAAAAAgBr1gPYp5v2ex0rrBLUAQAAENgI6wHseEGJ17H4ji38UAkAAAAaAmE9gEWGe69i6hQX7YdKAAAA0BAI6wGsV9fWXsdKK86+BKZfQlxDlAMAAIB6xgWmAexUcbnXsdKymsN6t/bNNaRPe/W/oG1DlgUAAIB6QlgPYN/8cMTr2IYfDtfYv2NcM111yfkNWRIAAADqEctgAljm/vxf1d9mY7tGAACAQEJYb4LCQ4OrPc6NkAAAAAILYb0JKqvhIlPCOgAAQGCptzXr69ev17x585SZmamKigr17t1bEydO1JAhQ+p8juLiYqWlpenjjz/WgQMHFBkZqaSkJP3lL3/RxRdfXF+lWlYQP5oBAAAElHqJb++8845SUlKUnp6uxMRE9e3bV+np6UpNTdWyZcvqdI78/HyNHTtWc+fOVVFRkYYOHarzzjtPX3zxhcaPH69t27bVR6lNSmjIrxu+2naKAQAAgPn4PLN+9OhRTZs2TTExMVqyZInsdrskadu2bUpJSdHjjz+uq666Su3atav1PDNmzFBmZqZ+85vf6Mknn1RYWJgkacGCBXrqqaf08MMP64MPPvC13Cbl165qSejcsmEKAQAAQIPweWZ90aJFKi8vV3JysjuoS1JiYqJSU1NVVlZ21tn1n3/+We+//746derkEdQl6Y477lDv3r1VUlKi3NxcX8ttUgzj9OM/DO1+1v4ul3HWPgAAADAPn8P62rVrJUkjRozwahs5cqQkac2aNbWe47PPPpNhGJowYYJHUK/0zjvv6D//+Y9at/a+Y6eVVQ3rzaO8PzcAAAAENp+WwRiGoaysLNlsNnXv7j2z27VrV9lsNmVlZckwDAXVsG5jx44dkqSLL75YRUVF+uijj7R9+3aFhIRo0KBBuvrqq2v8WiszqqT1YwUlZ+0fFRHakOUAAACgnvkU1gsKClReXq7WrVtXOyMeEhKiVq1a6cSJEyoqKlJ0dHS158nJyZH0y0Wmo0aN0sGDB91tixYt0qBBg/TCCy/U+PVWVXVm/dKEtvpw/b4a+3Zo00x9e7ZphKoAAABQX3wK6yUlv8zmRkZG1tgnIiJCkmoN66dOnZIkPfjgg+rUqZNmzZqlnj17KjMzU48++qg2bNigadOmadasWb6UW6OwsBDFxcU0yLlr4/trnk7rl/Rqr0t6xum7n465j73/9O90JLdYNluQ2rSIUHAwezf6gz++t9C4GGNrYJytgXG2hkAaZ5/Sm8129i+vulSjJmVlZZKk0NBQLVy4UH379lV0dLT69eunBQsWqFmzZvrwww+VnZ3tS7lNTtXrRW1B0sQbPPeit9mC1L5NM7VrHUVQBwAACEA+zaxHRUVJOh22q1PZVtvse2Xbb3/7WzVv3tyjLS4uTsOHD9eKFSu0efNmdevWzZeSq1Ve7lBBHdZ815fKn+aOHTt1Tl9f3Q9Ax48XKsImDep9nrZkHtUNV3Y/5/Ojfvg6zjA/xtgaGGdrYJytwZ/j3KJFpMLCfn309imsR0dHKyoqSnl5eXI4HAoJ8Tydw+FQXl6ewsPDvUJ4VZW7vJx//vnVtlcez8vL86XcJmFdxiG99tFOdWp7eklR1Utv/zSql1Kuu0AhzKQDAAAEPJ8SXVBQkOLj4+V0OrV3716v9uzsbLlcLo/916tT2X706NFq248d+2UdNls3SgtW/iiXYWjfkdM/EZ65Uw5BHQAAoGnwOdUNGTJEkrRq1SqvtspjQ4cOrfUcV155pbu/w+HwaCsvL9fGjRslSf369fO13CaJXS0BAACaJp/D+ujRoxUeHq758+dr+/bt7uMZGRlKS0tTRESExo8f7z6ek5Oj3bt3u3eAkaTBgwfrggsu0N69e/XEE0/I6XRKklwul5566ikdOHBAl19+ebV7uYOwDgAA0FT5tGZdkjp27KipU6dq+vTpGjt2rAYOHCjDMLRx40Y5HA7NnDlTsbGx7v7Jyck6ePCgZsyYodGjR0uSgoOD9cwzz+i2227T4sWL9eWXX+rCCy/Url27lJOTo/bt22v69Om+ltpkccMoAACApqleFjdPmDBB8+bNU58+fbRlyxZt375dSUlJeu2113T99dfX6Rw9evTQe++9p1tuuUWS9NVXX8nhcGjChAlavny5OnbsWB+lBrxgm3cwJ6sDAAA0TUFGXTZCb+ICaevGO55crTMHLDw0WC/dV/t1AWh8bAPW9DHG1sA4WwPjbA2BuHUj24YEEJdheAV1iZl1AACApsrnNetoeA6nS+9/na3DJ4qrbWfNOgAAQNNEWA8A3+48qpUb9tXYHhMV2ojVAAAAoLEQ1gPAtj0nqj3epkWEIsJCdMOQbo1cEQAAABoDYT0AOJ3eK9WbRYToqcmD/VANAAAAGgsXmAYAl8s7rBeVOqrpCQAAgKaEsB4Ajp8s9XcJAAAA8APCegDIJawDAABYEmE9AMS1jPQ6Ft+xhR8qAQAAQGMirAeA6nZR79IuptHrAAAAQOMirAeAsNBgr2OR4WzkAwAA0NQR1gNQaIhNQ/t08HcZAAAAaGBMzwaAqls3jhvRU4N6n6foSO5aCgAA0NQxsx4AnMbpsN6lXQxBHQAAwCII6wGg6sx6sK26y00BAADQFBHWA4CzSli3EdYBAAAsg7AeAJhZBwAAsCbCegBwMbMOAABgSYT1AOBkZh0AAMCSCOsBgJl1AAAAayKsBwCPmfUgwjoAAIBVENYDgMtgZh0AAMCKCOsBgDXrAAAA1kRYDwCsWQcAALAmwnoAYGYdAADAmgjrAaDC4XQ/ZmYdAADAOgjrJldQVC6Hk5l1AAAAKyKsm9wHX2d7PA+2MWQAAABWQfIzuYPHizyeswwGAADAOgjrJndB55b+LgEAAAB+Qlg3uXKHy/34uoFd/FgJAAAAGhth3eQ+2Zjjfpy5P8+PlQAAAKCxEdYDyO6DJ/1dAgAAABoRYT2AXJoQ5+8SAAAA0IgI6ybXp0es+3G/hLZ+rAQAAACNjbBuclW3agwJZrgAAACshPRncsbpm5eK+yEBAABYC/HP5FxV0npQEDdEAgAAsBLCuslVDes2wjoAAIClENZNzmMZDFkdAADAUgjrJvdDdq77MctgAAAArIWwbmIFReUez0vLHX6qBAAAAP5AWDex77OOezw/dKLYT5UAAADAHwjrJhZ8xiL1qhebAgAAoOkjrJtYeGiwx/OOcdF+qgQAAAD+QFg3sZAQz+Hp27ONnyoBAACAPxDWTczhcLkfJ9nj2A0GAADAYgjrJuZwng7rIcEEdQAAAKshrJtYRZWwHhrMUAEAAFgNCdDEThVXuB+fuX4dAAAATR8J0MTWfP+z+3GIjaECAACwGhKgibWMDnc/DmKkAAAALIcIaGZVboKU1DPOj4UAAADAHwjrJuaq8thmYzcYAAAAqyGsm9npiXWxxToAAID1ENZNzKiyDIYbIgEAAFgPYd3EXFVn1v1XBgAAAPyEsG5qzKwDAABYGWHdxFysWQcAALA0wrqJea5Z92MhAAAA8AvCupl5rFknrQMAAFgNYd3EWAYDAABgbYR1U+MCUwAAACsjrJuYwcw6AACApRHWTcxV9QJTP9YBAAAA/yCsBwiWwQAAAFgPYd3EuMAUAADA2gjrZmZwgSkAAICVEdZNrMLpcj8mqwMAAFgPYd3Eck+WuR+T1QEAAKyn3sL6+vXrdeutt+qyyy5TUlKSbrnlFq1du9anc6ampiohIUEbN26spyoDS2R4sPtxWGhwLT0BAADQFNVLWH/nnXeUkpKi9PR0JSYmqm/fvkpPT1dqaqqWLVt2TudcsmSJz2G/KQkLIawDAABYTYivJzh69KimTZummJgYLVmyRHa7XZK0bds2paSk6PHHH9dVV12ldu3a1fmcOTk5evrpp30tLeCxGwwAAIC1+TyzvmjRIpWXlys5Odkd1CUpMTFRqampKisr+1Wz6y6XS1OmTFFoaKh69uzpa3kBzaiyG4yNtA4AAGA5Pof1yqUqI0aM8GobOXKkJGnNmjV1Pt/8+fOVnp6uf/zjH2rTpo2v5QW0KlmdK0wBAAAsyKewbhiGsrKyZLPZ1L17d6/2rl27ymazKSsry2OWuCY7d+7U888/r2uvvVajRo3ypbQmoepHZiOsAwAAWI5PYb2goEDl5eVq2bKlwsLCvNpDQkLUqlUrlZSUqKioqNZzlZeXa8qUKWrevLkeeeQRX8pqMgxuigQAAGBpPl1gWlJSIkmKjIyssU9ERIQkqaioSNHR0TX2e+6555SZmam5c+eqdevWvpT1q4WFhSguLqZRX1PSWV+z6u8i2sbFKDiYbfEDkT++t9C4GGNrYJytgXG2hkAaZ5/Sn8129i+vy/KXLVu26NVXX9Xvfve7ate+WxUz6wAAANbm08x6VFSUJKmsrKzGPpVtNc2+FxcX64EHHlBcXJz+8Y9/+FLOOSsvd6igoKTRXq/yp7ljx07V2McwDI8168ePnyKwB5i6jDMCG2NsDYyzNTDO1uDPcW7RIlJhYb8+evsU1qOjoxUVFaW8vDw5HA6FhHiezuFwKC8vT+Hh4WrevHm151i6dKlycnKUkJCg6dOne7RlZWVJkubNm6fly5dr7NixuvTSS30pOWCc+fsIgjoAAID1+BTWg4KCFB8fr23btmnv3r2Kj4/3aM/OzpbL5fLYf/1MxcXFkqTMzExlZmZW22f9+vWSpMGDB1smrIsbIgEAAFiez3cwHTJkiLZt26ZVq1Z5hfVVq1ZJkoYOHVrj19999926++67q21LTk7Whg0b9Prrr+uyyy7ztdSA4uKGSAAAAJbn8/Yio0ePVnh4uObPn6/t27e7j2dkZCgtLU0REREaP368+3hOTo52796tU6dYE1Ybg5l1AAAAy/M5rHfs2FFTp05VYWGhxo4dq9TUVN1xxx0aN26cioqKNH36dMXGxrr7Jycn67rrrtN//vMfX1+6SWMnGAAAAPi8DEaSJkyYoA4dOigtLU1btmxRWFiYkpKSNHnyZA0aNKg+XsJymFkHAABAvYR1SRo2bJiGDRt21n6rV6+u8zkXLlzoQ0WBzelyuR8HibQOAABgRdwS06QKSyrcj8sqnH6sBAAAAP5CWDep0vLTAT08LNiPlQAAAMBfCOsmVTWsd4qL9mMlAAAA8BfCuklVXfrCzDoAAIA1EdZNyuk8vR1MiI0LTAEAAKyIsG5S7LMOAAAAwrpJudhnHQAAwPII6yZVdWbdRloHAACwJMK6SbmqLoNhzToAAIAlEdZNqkpWF1kdAADAmgjrJsUFpgAAACCsm5TBBaYAAACWR1g3KY816yKtAwAAWBFh3aRYsw4AAABXqjAVAAAgAElEQVTCukmxGwwAAAAI6ybluc+6HwsBAACA3xDWTcrzAlPSOgAAgBUR1k2KrRsBAABAWDcpF1s3AgAAWB5h3aQ81qyzdSMAAIAlEdZNymPNOqMEAABgScRAk/LcDYaZdQAAACsirJsUa9YBAABAWDcpdoMBAAAAYd2kPO5gSlYHAACwJMK6SVW9wJQ16wAAANZEWDcplsEAAACAsG5SnjPr/qsDAAAA/kNYNykXM+sAAACWR1g3qaP5Je7Hrqr7OAIAAMAyCOsm9c0PR9yPv8086sdKAAAA4C+E9QBw6ESxv0sAAACAHxDWAQAAAJMirAeAscPj/V0CAAAA/ICwblLtWke5H1/QpZUfKwEAAIC/ENZNyqiyA0x4aLAfKwEAAIC/ENZNymOfde6KBAAAYEmEdZMyqoR1BgkAAMCayIEmVfU+SDZm1gEAACyJsG5SHstgggjrAAAAVkRYN6mqF5gysQ4AAGBNhHWTqroMhpl1AAAAayKsm5THBaZMrQMAAFgSYd2kPGfW/VcHAAAA/IewblJVLzC1kdYBAAAsibBuUmXlTvdjsjoAAIA1EdZNyOlyeTwPtjFMAAAAVkQKNCGHw/B4HhrCMAEAAFgRKdCE0n865u8SAAAAYAKEdRNa+vlP/i4BAAAAJkBYN6FTxRX+LgEAAAAmQFgHAAAATIqwDgAAAJgUYR0AAAAwKcK6CcV3bOF+fH5cMz9WAgAAAH8irJtQi6gw9+PrL+/mx0oAAADgT4R1E6p6S6SgIL+VAQAAAD8jrJuQYXjEdb/VAQAAAP8irJtQ1axuI6sDAABYFmHdhKrOrAexDgYAAMCyCOsmVHURDKtgAAAArIuwbkIsgwEAAIBEWDcllsEAAABAIqybkkdY92MdAAAA8C/Cugl57rNOXAcAALAqwroJsc06AAAAJMK6KVVdBsMAAQAAWBdZ0ISqzqyzDAYAAMC6COsm5LkbjB8LAQAAgF8R1k2IC0wBAAAgSSH1daL169dr3rx5yszMVEVFhXr37q2JEydqyJAhdT7HV199pddff10ZGRkqLi5WXFychgwZoj//+c8677zz6qtU0/O4wBQAAACWVS8z6++8845SUlKUnp6uxMRE9e3bV+np6UpNTdWyZcvqdI5XXnlFEydO1Pr169WtWzddeeWVkqRly5bphhtu0O7du+ujVNOrcLiUdbDA/dzGzDoAAIBl+TyzfvToUU2bNk0xMTFasmSJ7Ha7JGnbtm1KSUnR448/rquuukrt2rWr8RxZWVmaPXu2oqKi9Oqrr6pv376SpIqKCj3xxBNasmSJ/v73v9c5+AeyNz//yeM5WR0AAMC6fJ5ZX7RokcrLy5WcnOwO6pKUmJio1NRUlZWVnTVkv//++3I6nUpJSXEHdUkKDQ3V3//+d7Vu3VrfffedDh486Gu5pvdF+hnvkbAOAABgWT6H9bVr10qSRowY4dU2cuRISdKaNWtqPUdoaKgSEhLUv3//ats6duwo6ZdZfKthGQwAAIB1+bQMxjAMZWVlyWazqXv37l7tXbt2lc1mU1ZWlgzDqHFnk3vuuUf33HNPtW3FxcXKysqSJEtdZAoAAAD4NLNeUFCg8vJytWzZUmFhYV7tISEhatWqlUpKSlRUVHROrzF//nwVFxfr4osvVvv27X0p15QcTpd+OpAvh9NVbTsz6wAAANbl08x6SUmJJCkyMrLGPhEREZKkoqIiRUdH/6rzf/XVV3r55Zdls9l0//33n3uhZxEWFqK4uJgGO39NoptH6qa/r5QkRYYHa9njv/Hq07p1M7/UhvrD+DV9jLE1MM7WwDhbQyCNs08z6zbb2b/cOMdNw7/88kvdfffdcjqduvfee3XZZZed03nMbMmnO92PS8qcOpZX4sdqAAAAYDY+zaxHRUVJksrKymrsU9lW2+z7md5++21NmzZNDodDf/nLXzRx4kRfyjyr8nKHCgoaLyhX/jT3n437PI4fO1Ho1beitFzHjp1qlLpQvyrHmfFruhhja2CcrYFxtgZ/jnOLFpEKC/v10dunsB4dHa2oqCjl5eXJ4XAoJMTzdA6HQ3l5eQoPD1fz5s3rdM7Zs2frpZdeUlBQkB588EElJyf7UqKpuc74pcPuAwVefYKD6+W+VQAAAAhAPiXBoKAgxcfHy+l0au/evV7t2dnZcrlcHvuv18QwDD300EN66aWXFBYWpmeeeaZJB3VJcp2xRGj+hzu8+gTbuMAUAADAqnyeth0yZIgkadWqVV5tlceGDh161vM8+eSTevvttxUdHa0FCxbouuuu87U0UzuSW6yycudZ+7EbDAAAgHX5HNZHjx6t8PBwzZ8/X9u3b3cfz8jIUFpamiIiIjR+/Hj38ZycHO3evVunTp1eK7RmzRotXLhQISEhevnllzVgwABfyzK1vFOlmvTk53Xqy8w6AACAdfm0Zl2SOnbsqKlTp2r69OkaO3asBg4cKMMwtHHjRjkcDs2cOVOxsbHu/snJyTp48KBmzJih0aNHS5JeeOEFSVJsbKzefPNNvfnmm9W+1uTJk9WjRw9fS/a79d//XOO+6meyEdYBAAAsy+ewLkkTJkxQhw4dlJaWpi1btigsLExJSUmaPHmyBg0aVOvXlpSUKCMjQ5J05MgRrVixosa+N954Y5MI6xV1DOqSFBxMWAcAALCqegnrkjRs2DANGzbsrP1Wr17t8TwyMlI//vhjfZUREH7N1vOsWQcAALAu9gUEAAAATIqw7gdfpR/wdwkAAAAIAIR1P6ju5kcAAADAmQjrAAAAgEkR1k1s1l8u93cJAAAA8CPCuom1ign3dwkAAADwI8I6AAAAYFKEdQAAAMCkCOsAAACASRHWTapty0h/lwAAAAA/I6yb1LgRPf1dAgAAAPyMsG5Cl8S3UZ/4Nv4uAwAAAH5GWDchl2H4uwQAAACYAGHdhJwuwjoAAAAI66bkIqwDAABAhHVTCg4O8ncJAAAAMAHCugldf3k3f5cAAAAAEyCsm1DL6HB/lwAAAAATIKybUBCrYAAAACDCOgAAAGBahHUTCmJqHQAAACKsAwAAAKZFWAcAAABMirBuQqyCAQAAgERYNyWyOgAAACTCujkxtQ4AAAAR1k2JqA4AAACJsA4AAACYFmHdjJhaBwAAgAjrpkRWBwAAgERY94uWMeG1tnMHUwAAAEiEdb+4pGecv0sAAABAACCsAwAAACZFWDchVsEAAABAIqz7hWHU3k5WBwAAgERYNyniOgAAAAjrAAAAgGkR1k2INesAAACQCOsAAACAaRHWTYiZdQAAAEiEdb8wVPt2MEFcYAoAAAAR1gEAAADTIqybERPrAAAAEGHdlMjqAAAAkAjrpsQFpgAAAJAI6/5R+/WlYm4dAAAAEmEdAAAAMC3CugmxDAYAAAASYR0AAAAwLcK6CRlnXdMOAAAAKyCs+0FtWTy2eYRCQxgWAAAAENZN529jL/F3CQAAADAJwrrJtIgO83cJAAAAMAnCuskE2xgSAAAA/IJkaDLBwezbCAAAgF8Q1k3GxibrAAAA+D+EdT8w2JsRAAAAdUBYBwAAAEyKsA4AAACYFGEdAAAAMCnCOgAAAGBShHU/4PJSAAAA1AVh3USu7tfR3yUAAADAREL8XQB+8dAt/dStQ3N/lwEAAAATIaybRI/zW/i7BAAAAJgMy2D8wOVi1ToAAADOjrDeyAzD0IaMQ/4uAwAAAAGAsN7ISsoc/i4BAAAAAYKw3siiIkL9XQIAAAACBGEdAAAAMKl62w1m/fr1mjdvnjIzM1VRUaHevXtr4sSJGjJkSJ3PkZ2dreeff15btmxRfn6+OnfurDFjxmj8+PGy2fi5AgAAANZSLwn4nXfeUUpKitLT05WYmKi+ffsqPT1dqampWrZsWZ3OsXPnTv3xj3/UypUr1aFDBw0ZMkSHDx/WY489pilTptRHmQAAAEBA8Xlm/ejRo5o2bZpiYmK0ZMkS2e12SdK2bduUkpKixx9/XFdddZXatWtX4zkMw9CUKVNUWFiop556Stdff70kKTc3V8nJyVqxYoVGjhypa6+91tdyAQAAgIDh88z6okWLVF5eruTkZHdQl6TExESlpqaqrKzsrLPr69atU2ZmpgYMGOAO6pLUunVrTZs2TZL0xhtv+FoqAAAAEFB8Dutr166VJI0YMcKrbeTIkZKkNWvWnPM5+vXrp9jYWG3ZskWFhYW+lgsAAAAEDJ/CumEYysrKks1mU/fu3b3au3btKpvNpqysLBlGzXftzMrKkiSPmfmqunXrJpfLpd27d/tSLgAAABBQfArrBQUFKi8vV8uWLRUWFubVHhISolatWqmkpERFRUU1nufo0aOSpLi4uGrbK48fP37cl3IBAACAgOLTBaYlJSWSpMjIyBr7RERESJKKiooUHR1d63kq+9Z0juLi4nOutTZhYSGKi4tpkHNX54nJl3sda8zXR+NibJs+xtgaGGdrYJytIZDG2aewXpe9z2tb/nLmeYKCgmo9R13OFQgujm/j7xIAAAAQAHxaBhMVFSVJKisrq7FPZVtts++V5yktLa31HJX9AAAAACvwKaxHR0crKipKeXl5cjgcXu0Oh0N5eXkKDw9X8+bNazxP27ZtJdW8Jv3YsWOSal7TDgAAADRFPoX1oKAgxcfHy+l0au/evV7t2dnZcrlcNe7yUqlnz56STu8KU5VhGNqzZ4+Cg4PVo0cPX8oFAAAAAorP+6wPGTJEkrRq1SqvtspjQ4cOrdM5Pv/8c6+2rVu3Kjc3V/369avxAlUAAACgKfI5rI8ePVrh4eGaP3++tm/f7j6ekZGhtLQ0RUREaPz48e7jOTk52r17t06dOuU+NmDAAPXs2VPr1q3TW2+95T6em5urRx99VJKUkpLia6kAAABAQAky6mGLlcWLF2v69OkKDQ3VwIEDZRiGNm7cKIfDoZkzZ+r666939x0+fLgOHjyoGTNmaPTo0e7j27Zt02233abi4mL16dNHbdu21aZNm1RQUKCbbrpJjz32mK9lAgAAAAHFp60bK02YMEEdOnRQWlqatmzZorCwMCUlJWny5MkaNGhQnc6RmJio5cuXa86cOdq4caN++ukndenSRX/9619144031keZAAAAQECpl5l1AAAAAPXP5zXrAAAAABoGYR0AAAAwKcI6AAAAYFKEdQAAAMCkCOsAAACASRHWAQAAAJMirAMAAAAmRVgHAAAATIqwDgAAAJgUYR0AAAAwqRB/F2A169ev17x585SZmamKigr17t1bEydO1JAhQ/xdmqU5nU4tXbpU7777rvbs2SOn06lOnTrpuuuuU2pqqsLDwz36Z2RkaO7cucrIyFBxcbHi4+N16623atSoUdWePzs7W88//7y2bNmi/Px8de7cWWPGjNH48eNls3n/zHzkyBHNnTtX69at07Fjx9S+fXv97ne/05/+9CeFhYU1yGdgNfn5+frtb3+rY8eOKTMz06u9ocfs5MmTevnll7Vq1SodOnRIbdq00TXXXKO77rpL0dHRDfKereTgwYOaO3euvv76a+Xm5qpVq1a66qqrdM899yguLs6jL2MduN5//30tXrxYu3btksvlUrdu3TR69GjdfPPNCg4O9ujLOAeOd955Rw8++KAWL16sSy+91KvdbGNZWlqqf/3rX/rggw904MABxcTEuP++adu2rc+fR5BhGIbPZ0GdVH7zhYWFaeDAgXK5XNq4caMqKio0ffp0jRkzxt8lWpLT6dSf//xnffnll4qKilKfPn0UEhKi77//XidPnlSfPn30r3/9S5GRkZKkdevW6c4775TL5VL//v0VGRmpDRs2qLS0VJMmTdK9997rcf6dO3dqwoQJKiwsVFJSkmJjY7Vx40adPHlSo0aN0j//+U+P/ocPH9aYMWN0+PBh9erVS506ddLWrVt17NgxDRgwQK+++qpCQ0Mb7fNpqu6991599NFHkuQV1ht6zAoLCzV+/HhlZmaqW7dustvt+uGHH3TgwAHFx8frzTffVExMTMN/CE1URkaGUlJSdOrUKdntdnXu3Fnbt2/X4cOH1blzZ7399ttq0aKFJMY6kD311FNasGCBwsLC1L9/fwUHB+vbb79VcXGxRowYoRdeeEFBQUGSGOdAkp6erttvv13FxcXVhnWzjWVFRYXuvPNOrVu3Tu3bt1diYqL27Nmjn376SXFxcXrrrbfUoUMH3z4UA43iyJEjxkUXXWT069fPyMzMdB///vvvjaSkJOPiiy82Dh8+7McKrWvp0qWG3W43Ro0a5TEGJ06cMMaMGWPY7Xbjn//8p2EYhlFSUmIMGjTI6N27t7FhwwZ333379hlXXnmlYbfbjYyMDPdxl8tljBo1yrDb7cZ7773nce7K45988olHPXfeeadht9uNuXPnuo8VFRUZycnJht1uNxYsWFDvn4HVrFixwrDb7e4/VTXGmD322GOG3W43Hn74YcPpdBqGYRgVFRXG/fffb9jtdmP69On1/ZYto6yszLjmmmsMu91uvP766+7jpaWlxt13323Y7XbjscceMwyDsQ5kO3fuNBISEoyBAwcae/bscR8/fPiwMWzYMI+xY5wDx6effmr07dvX/Xfz5s2bPdrNOJavvvqqYbfbjYkTJxplZWXu488884xht9uNO++807cPxTAMwnojmTVrlmG3243nn3/eq+3FF1807Ha78dxzz/mhMtx0002G3W73CN+VfvzxR8NutxvDhg0zDMMw3nzzTcNutxsPPPCAV9/333/fsNvtxpQpU9zH1q5da9jtduPmm2/26v/tt98adrvdmDBhgvvY7t27jYSEBGPEiBHuvyQqHTx40LjwwgvdteDcHD582BgwYIAxZswY48ILL/QK6w09ZgUFBUZiYqKRlJRknDp1yqN/YWGh0b9/fyMxMdEoKiqqj7drOe+++65ht9uN++67z6vt559/NgYPHmzcfvvthmEw1oGsMiA98cQTXm3z58/3+KGMcTa/Q4cOucNwnz59jMGDB1cb1s02li6XyxgyZIiRkJBg7N+/36O/0+k0rr32WsNutxs5OTnn9sH8Hy4wbSRr166VJI0YMcKrbeTIkZKkNWvWNGpN+EWrVq3UvXt3JSYmerV17dpVknT06FFJp8fx6quv9uo7fPhwBQcHe4xjbePer18/xcbGasuWLSosLJQkff311zIMQ8OGDfNad9ehQwf16tVLBw8eVFZW1jm8U0jSQw89pLKyMs2cObPa9oYes82bN6u0tFQDBw70WvvYrFkzDRo0SKWlpdq8ebPP79WKPvvsM0lSSkqKV1v79u21bt06LViwQBJjHcgql7ccOXLEqy0vL0+S1LJlS0mMcyCYPXu23n//fV100UVatmyZunfvXm0/s41lZmamjhw5ogsuuEAdO3b06G+z2TR8+HBJvuc7wnojMAxDWVlZstls1X4Ddu3aVTabTVlZWTK4hKDRzZs3Tx9//LGioqK82jIyMiRJ5513niTpp59+kiTZ7XavvtHR0Wrbtq1yc3N1/PhxSXL/BVBdf0nq1q2bXC6Xdu/e7dG/Z8+e1fav/P7ZtWtX3d4cPCxZskRr167V3/72N3Xp0qXaPg09ZnXtX91Frzi7HTt2KDQ0VBdccIEOHTqkV155RQ8//LD++c9/atu2bR59GevANWTIEAUFBemTTz7RK6+8otzcXJ08eVJvv/22Xn/9dbVo0UJ/+MMfJDHOgaB79+6aOXOmli9froSEhBr7mW0sG+vfbHaDaQQFBQUqLy9X69atq73qOCQkRK1atdKJEydUVFTEVeMmYRiG5syZI0m65pprJEnHjh2TJK/dJCrFxcXp0KFDOn78uNq0aeOeka+tvyR3uK/sX9PV42f2R93l5OTo6aef1sCBAzVhwoQa+zX0mNXle0iSTpw4UfObQbXKy8t16NAhnXfeefrkk0/00EMPqaSkxN0+f/583XHHHZoyZYokxjqQ9ejRQ4899pgef/xxzZo1S7NmzXK39e3bVzNmzFD79u0lMc6BYOLEiXXqZ7axbKyxZ2a9EVT+Y1G5m0h1IiIiJElFRUWNUhPO7plnntGmTZvUpk0bpaamSjo9lpXjdabK48XFxY3SH3XjdDo1ZcoUBQUFacaMGe5foVenoces8r81/X3AGJ+7yl99FxQUaOrUqRoxYoQ++eQTbd68Wc8++6xatmypBQsWaNmyZZIY60CXlJSkQYMGKSoqSgMHDtTgwYPVrFkzZWRkaMmSJe7fVDPOTYfZxrKxxp6Z9UZQ3Z6fZ2L5i7k899xzeuWVVxQWFqbZs2erdevWkqTg4GAZhlFj2Kscx8r/Vo59Q/VH3aSlpSk9PV3/+7//e9YttBp6zBjjhlNWVibpl3+gr7jiCo8t3K677jpFRUXpzjvv1Ny5c3XTTTcx1gHsu+++0+23367zzz9fK1ascK8XPnLkiO666y69/vrrio6O1v/7f/+PcW5CzDaWjTX2zKw3gsq10JX/kFSnsq222Xc0PIfDof/5n//Riy++qPDwcL3wwgvq37+/uz0yMlKGYdQ4lpXHK8e88r+lpaX12p/vk7rbuXOnnn/+eQ0dOlQ33njjWfs39Jgxxg2n6mc2btw4r/arrrpK7dq105EjR7Rv3z7GOoA98cQTKioq0uOPP+5xYV+7du30zDPPKCQkRAsXLlRJSQnj3ISYbSwba+wJ640gOjpaUVFRysvLk8Ph8Gp3OBzKy8tTeHi4mjdv7ocKIf2yBGnSpElatmyZmjdvrgULFmjo0KEefSrXvVWuUzvTmevXKvvXtMb8XPvXxx3RrOLZZ59VRUWFHA6H/va3v3n8cblckuR+npub2+Bj9mvPj7qLiYlx39zkzJ0ZKlX+ZiUvL4+xDlClpaXatm2bYmJiqt3Fq1OnTurWrZuKi4u1b98+xrkJMdtYNtbYE9YbQVBQkOLj4+V0OrV3716v9uzsbLlcrhqvbkbDKygo0C233KK1a9eqffv2Wrx4sceMeqXKK74rrzSvqrCwUEePHlXr1q3Vpk0bj/7VbbVoGIb27Nmj4OBg9ejR46z9q74u3yt1V7lWcN26dVqxYoXHn8pfTVY+Ly4ubvAxq2v/2nZEQPWqjkt1W/pJp/9Rbd26NWMdoE6dOiXDMBQcHFxjn8q2iooKxrkJMdtYVn5dQ/+bTVhvJEOGDJEkrVq1yqut8tiZs7hoHOXl5Zo4caJ++OEH962Ea/ofq7ZxXL16tZxOp8c4Vvb//PPPvfpv3bpVubm56tevn3sHoMr+q1evds/6Vvr555/1448/6vzzz1d8fPw5vFNreuONN5SZmVntn8p/0Cufd+zYscHHrH///oqIiNCGDRu8LjoqKirShg0bFBUVpX79+tXvB2ERV155pSTpk08+8Wrbs2ePDh48qLZt26pTp06MdYCKjY1Vy5YtlZ+f77Udp/TLD2q7d+9WaGiounfvzjg3IWYbyx49euj888/Xjh07dOjQIY/+LpdLq1evVlBQkLuOc0VYbySjR49WeHi45s+fr+3bt7uPZ2RkKC0tTRERERo/frwfK7SuOXPm6LvvvlP79u31xhtvuPdUr861116r2NhYvfvuu/rqq6/cx/fv369Zs2YpKChIycnJ7uMDBgxQz549tW7dOr311lvu47m5uXr00Ucled68pTJAZGdn67nnnnMfLy4u1sMPPyyn01ntzV5Qfxp6zKKiovT73/9eBQUFevTRR91L4xwOh6ZPn66TJ09qzJgxbOF6jsaOHauoqCi99957WrFihft4QUGBHn74YblcLk2YMEE2m42xDlA2m01//OMfJf1yk7Oqv0XJzc3V3/72N1VUVOgPf/iDmjVrxjg3IWYcy7Fjx8rpdOqhhx7yCPjPPfec9u7dq5EjR6pz584+ve8gg8uTG83ixYs1ffp0hYaGauDAgTIMQxs3bpTD4dDMmTN1/fXX+7tEy8nPz9fQoUNVWlqq3r1713jXNEnunSU+//xz3XPPPXI6nerfv7+aNWumb775RiUlJbr33ns1adIkj6/btm2bbrvtNhUXF6tPnz5q27atNm3apIKCAt1000167LHHPPrv379f48aN07Fjx2S329WtWzdt3bpVx44d05VXXqmXXnpJISFs5FQfevXqJafT6XWzkoYes/z8fI0dO1bZ2dnq1KmTevXqpR07dmj//v3q1auXFi1apGbNmjXKZ9AUffTRR7r//vvlcDjUu3dvtW3bVt99953y8vI0cOBApaWlude2M9aBqaysTKmpqdq0aZPCw8PVv39/BQUF6fvvv9fJkyd1ySWX6LXXXnNfAMg4B5ZbbrlFmzZt0uLFi3XppZd6tJltLMvLy5WcnKwtW7YoLi5OSUlJys7O1q5du9ShQwctW7bM5+vMCOuN7IsvvlBaWpp27NihsLAwJSQkaPLkyRo0aJC/S7OkNWvW6E9/+lOd+lYNdFu3btXcuXP1/fffyzAMxcfHKzk5Wf/93/9d7ddmZWVpzpw52rhxo8rLy9WlSxeNHTtWN954Y7XrLg8dOqQ5c+ZozZo1OnXqlDp16qTrr79et912m8LDw8/tzcJLTWFdavgxy8/P1wsvvKBVq1bpxIkTat++vUaOHKlJkyYpJiamQd6vlfz444966aWXtGnTJhUXF7vHIyUlxR3UKzHWgamiokJLlizR+++/rz179sjlcqlr16767W9/q+TkZK+bEDLOgaO2sC6ZbyxLSkr0yiuv6MMPP9Thw4cVFxenK664QnfddVe9bAhBWAcAAABMijXrAAAAgEkR1gEAAACTIqwDAAAAJkVYBwAAAEyKsA4AAACYFGEdAAAAMCnCOgAAAGBShHUAAADApAjrAAAAgEkR1gEAAACTIqwDAAAAJkVYBxDwDhw4oISEBCUkJOjZZ589a/9bbrlFCQkJWrRoUSNU9+s8//zzSkhI0D333OPvUhrEjh07lJycrH79+qlv3776/WhGTO0AAA1pSURBVO9/3yCvs3v3bq9jw4cPV0JCgr744osGec1zVfX7t6ioyH38gQceUEJCgmbOnOnH6gD4G2EdQJOyYMEC7dy5099loBonT55USkqKNmzYIJvNpu7du6tz5871+hqFhYV65JFHdMstt9TreQHAX0L8XQAA1KeKigo9/PDDeuutt2SzMR9hJhs2bFB+fr6io6P12WefqVWrVvX+Gj/88IOWLl2qli1berUtXLhQFRUVat++fb2/bkP461//qj/96U8N8jkBCBz8SwagSQkKClJGRoZef/11f5eCM+Tm5kqS4uPj/RJAO3furB49eigqKqrRX/tctG3bVj169FDr1q39XQoAPyKsA2hSxowZI0l67rnndODAAT9Xg6qcTqckKSwszM+VAEDgIKwDaFLuuecederUScXFxZo2bVqdv66mi/wq7dq1y91eVeVFgKtWrVJGRoYmTZqkAQMGqG/fvho3bpy+/vprSVJxcbGefvppDR8+XBdddJGGDx+uZ599VhUVFTXWtGfPHt11113q37+/+3wffPBBjf0LCwv1wgsvaNSoUerTp4+SkpI0duxYvfXWW+6gXFXlBZc5OTm69957dckll6h///6aMmVKnT6zo0eP6sknn9S1116riy++WP369dO4ceP01ltvyeFwuPtt3LhRCQkJeuyxxyRJmzZtcn+WdfmB6scff9R9993nfp0BAwbo5ptv1rJlyzxe55ZbbtGtt94qScrPz/car+ouMK28oHfhwoXat2+f7rvvPg0aNEh9+vTRDTfcoA8//FDSL8urXn75ZV177bW66KKLdMUVV+jRRx9VYWGhR61nu0B45syZSkhI0AMPPHDW980FpgAk1qwDaGIiIiI0ffp0paSk6Ouvv9Z7773XYDuOVPXll1/qvffeU2hoqLp27ar9+/dr69atmjhxol566SXNmjVLP/30kzp37qz27dsrJydH8+bN0/Hjx/X44497nS87O1s33XSTioqK1LNnTxUXF2vr1q3aunWrvvnmGz3xxBMe/Q8cOKDbb79d+/btU0hIiLp27SqXy6X09HSlp6frs88+04svvljtrPb999+vjIwM2e12HT58WB06dDjr+01PT9ekSZOUn5+vsLAw9ezZU0VFRe4aV65cqRdffFHNmjVTTEyMkpKSdOzYMe3fv1/R0dGy2+2SpPDw8FpfZ9OmTbrjjjtUXl6u2NhY2e12FRQUaPPmzdq8ebPWrVunOXPmSJLsdrvy8/O1a9cuhYSEKDEx8azvo9IPP/yg5557Tg6HQz169NDhw4e1Y8cO3XfffXI4HPrggw+0bt06nX/++erSpYuysrK0ZMkSZWdna+HChXV+HQD4tZhZB9DkDB48WDfccIMkacaMGe610g1p+fLlGj58uNauXat3331XX375pXr16iWn06lJkyapsLBQ//73v/Xpp5/qP//5j6ZOnSpJevfdd5Wfn+91vl27dqlVq1b68MMP9cEHH2jVqlWaM2eOwsLC9O9//1srV65093U6nbr77ru1b98+DR8+XF999ZVWrlypjz/+WCtXrlSPHj20du1aPf3009XWvmPHDi1evFjvvfee1q5dq9TU1Frfa0FBgTuo/9d//ZfWrl2rd955R59++qmWL1+u9u3b65tvvtEjjzwiSerVq5eWLl2q5ORkj+dLly5VXFxcra81c+ZMlZeXa+rUqfr666/173//W6tWrdKrr76q8PBwffrpp/r2228lSf/4xz/08MMPS5Kio6Pdr1EXH3zwgS688EL3D11r1qzRlVdeKUl68MEH9cMPP2jhwoVavXq1Vq5c6f4BYcOGDew+BKBBEdYBNEkPPPCAYmNjlZ+fX+3MdX1r0aKFnnjiCUVHR0v6JSyOGzdOkuRyufTII4+oV69e7v633nqrwsLC5HQ69dNPP3mdLygoSC+88IJ69OjhPnbttddq8uTJkn7ZorLSZ599ph07dqhr166aPXu22rRp426Lj4/X7NmzZbPZtHTpUp04ccLrta655hr17dtXkhQaGup+DzVZtGiR8vPzZbfbNWvWLI+dVxITE/Xiiy8qKChIK1asUFZWVq3nOptdu3ZJkv74xz967O5z+eWXKzU1Vddd9/+3d3chTfVxHMC/m3OUvRjzwqQXzXSgQokW1mpqZFmi3QRFJAUNL6bNXogZ0YWgFES4iPSim7QIoUArR1mQLxBUrDDKblbodNGyZOWU1DT3XIxz2NzU59G552Tfz53nf17+2/Hiuz+/8zt505YS/VthYWG4fPkyoqKiAHjq6oUfFxMTEzh58iS2bt0q7p+bmyu2nWRYJ6L5xLBORAvSihUrcO7cOQCA2WxGe3v7vF4vLS3NL+QK5SQKhQJbtmzxGVMoFGLIDVQjn56e7lcfDwD79+8H4CnbEIJ3S0sLAGDXrl0By0rUajXUajXGxsbw4sULv/HU1NQZP5834bs8cOAAFAr/asrk5GSkp6fD7Xajra3tP517MiEQG41GvHv3Dm63WxwrLS2FyWTyCdGztX79er/yH++/t2/f7neMEOwD3T8iomBhzToRLVj5+floampCW1sbysvLYTabsWTJknm5VnR0tN+28PBwAJ5V9kC14sK4dwAVJCUlTXmdZcuWYXBwEN3d3YiKihLf1tnc3IzXr18HPO7Lly8APLXwk81UijKZzWabdo6AJ7C/evVK3He2Tp06BYPBgNbWVrS2tkKlUkGj0SAzMxM7duzA8uXL53R+wXT3D0DAVpPT3T8iomBhWCeiBa28vBx5eXn4/PkzTCaTWNMcbMHu3T3d+SIiIjA4OIiRkREAEDuS2O122O32ac87ODjot22mhzwnE1aSpyuXEeY/11XnnJwc1NfX4/r163j27BmcTifMZjPMZjOUSiUOHjyIsrIyn2A9GzPdP5lMNqfzExHNFsM6ES1oMTExOH36NCorK3H79m0UFBTMeEyglVIhGIfKz58/pxwTArCwqrx48WIAwNWrV5Gbmzvvc4uIiIDL5fJrW+hNGAvGj5jU1FTU1NRgeHgYFosFz58/R2trK7q7u3Hr1i3I5XKx5EkqplptHx4eDvFMiOhPx5p1IlrwDh8+jNTUVExMTOD8+fMBH0j0rr3+9euX3/jXr1/ndY6TTVU+YrfbMTQ0BLlcjvj4eABAbGwsAIjlMIF0dHTAarUG5UfHunXrAHi6yEzl/fv3PnObjfHxcXR1deHNmzcAPD9KMjMzUVZWhubmZhQXFwPAtL3nQy0sLAxA4P8hAPj27Vsop0NECwDDOhEteHK5HJWVlQgPD4fVahXDnzfv2udAdd3CQ5yh8vLlSzgcDr/tQivCTZs2iWUo2dnZAIB79+5hdHTU7xi73Y7CwkIUFBSgo6NjznPLysoC4GlX6f1SIkFnZ6f4HW/btm3W1+ns7MTevXtRVFQU8HNpNBoAnm4tAu+OMf+HyMhIAIH/h4aGhmCxWEI9JSL6wzGsE9FfITExEUVFRQAClyhERESI3VdMJpNY2z0+Po6bN2+isbExdJOFZ2X2+PHj6OvrE7fdvXsXtbW1kMlkKCkpEbfn5+cjLi4OPT09MBgMPqu3NpsNxcXFGB8fR1JSUlA6pxw6dAgqlQpWqxVnzpzx6RP/9u1bGAwGuN1u7NmzBykpKbO+zsaNG7FmzRq4XC6cPXsWAwMD4pjT6UR1dTUAQKvVituFspuhoSGf/UNFaIHZ09Pj87Kk/v5+nDhx4n+ZExH92VizTkR/Db1ej8ePH09ZLlJaWgqDwQCLxYKsrCzExcXB4XDA6XTi6NGjaGhoCPiA5nzQarWwWCzYuXMnEhMT8f37d3Gl3Wg0+rSCVCqVqK6uhk6nQ3t7O7Kzs5GQkICxsTHYbDb8/v0bK1euRE1NTVDmplKpcO3aNej1ejx69AhPnz4V32AqlO9kZGSgoqJiTteRyWSoqqpCYWEhHj58iJaWFrGVY09PD0ZHR7Fq1SoYjUbxmNjYWCxatAgjIyPIy8tDdHQ0amtrg9Y1ZibJycnYvXs3njx5gosXL6Kurg6RkZH4+PEjFAoFdDqdT498IqKZcGWdiP4aSqUSFRUVU3b2yMnJQV1dHbRaLeRyObq6urB69WpcunQp5A8wpqSkoL6+HhkZGbDZbHC5XNBoNLhx4wZ0Op3f/gkJCbh//z70ej3i4+Nhs9nQ29uLtWvX4tixY2hsbPTrIz4X6enpaGpqwpEjRxATE4MPHz7gx48f2Lx5My5cuBC0gLxhwwbcuXMH+/btg0qlQnd3Nz59+oS4uDiUlJTgwYMHPm0Xly5diitXriAxMREDAwNwOBzo7e2d8zz+i6qqKhiNRqjVavT396Ovrw85OTloaGhAWlpaSOdCRH8+mZsNYomIiIiIJIkr60REREREEsWwTkREREQkUQzrREREREQSxbBORERERCRRDOtERERERBLFsE5EREREJFEM60REREREEsWwTkREREQkUQzrREREREQSxbBORERERCRRDOtERERERBLFsE5EREREJFEM60REREREEsWwTkREREQkUQzrREREREQSxbBORERERCRRDOtERERERBLFsE5EREREJFH/AOr1TIjicG6YAAAAAElFTkSuQmCC\n"
},
"metadata": {
"image/png": {
"width": 373,
"height": 281
}
},
"output_type": "display_data"
}
],
"source": [
"w_hat = estimate_w_hat(X, Y)\n",
"rho = calculate_rho(w_hat, model.w)\n",
"\n",
"plt.plot(np.arange(1, N+1), rho)\n",
"plt.xlabel(\"Number of stimuli\")\n",
"plt.ylim((0, 1))\n",
"plt.title(\"correlation between estimated weights and true weights\")"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n",
"is_executing": false
}
}
},
{
"cell_type": "markdown",
"source": [
"## Improving on the reverse correlation estimate\n",
"\n",
"Our crude estimate works, but we can squeeze a bit more efficiency out of it. \n",
"\n",
"One concern is that our estimate is unduly affected by shifts in the mean of the response. If we set:\n",
"\n",
"$y \\to y + a$\n",
"\n",
"Then the reverse correlation estimate shifts to:\n",
"\n",
"$$\\hat w = \\frac{1}{N} X^T(y + a) = \\frac{1}{N} X^T y + \\frac{a}{N} X^T \\hat 1$$\n",
"\n",
"Now imagine that our responses $y$ are centered around 0. As $a$ becomes larger and larger, the variance of $\\hat w$ will grow, and our estimates will be worse and worse. Let's show this in a simulation: "
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% md\n"
}
}
},
{
"cell_type": "code",
"source": [
"results = []\n",
"X = np.random.randn(N, len(model.w))\n",
"y = model.forward(X)\n",
"# Center y for this demo.\n",
"y = y - y.mean()\n",
"for i in range(5):\n",
" w_hat = estimate_w_hat(X, y + i * 2)\n",
" rho = calculate_rho(w_hat, model.w)\n",
" results += [{'nstims': j + 1, \n",
" 'rho': rho[j], \n",
" 'offset': str(i*2)} for j in range(len(rho))]"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n",
"is_executing": false
}
},
"execution_count": 11,
"outputs": []
},
{
"cell_type": "code",
"execution_count": 12,
"outputs": [
{
"data": {
"text/plain": ""
},
"metadata": {},
"output_type": "execute_result",
"execution_count": 12
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 395,
"height": 270
}
},
"output_type": "display_data"
}
],
"source": [
"df = pd.DataFrame(results)\n",
"sns.lineplot(x='nstims', y='rho', hue='offset', data=df, ci=None)\n",
"plt.legend((0, 2, 4, 6, 8))"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% \n",
"is_executing": false
}
}
},
{
"cell_type": "markdown",
"source": [
"Adding an offset increases the variance of the estimates and thus it takes more stimuli for the reverse correlation estimate to converge to the true underlying parameter. One solution is [antithetic sampling](https://en.wikipedia.org/wiki/Antithetic_variates). The idea is to generate stimuli in symmetric pairs $(x, -x)$. It follows that we have that $X^T \\hat 1 = 0$, which reduces the variance of the estimate:"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% md\n"
}
}
},
{
"cell_type": "code",
"execution_count": 13,
"outputs": [
{
"data": {
"text/plain": "Text(0.5, 1.0, 'Estimate quality, antithetic sampling estimate')"
},
"metadata": {},
"output_type": "execute_result",
"execution_count": 13
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 389,
"height": 281
}
},
"output_type": "display_data"
}
],
"source": [
"results = []\n",
"X = np.random.randn(N, len(model.w))\n",
"\n",
"rg = np.floor(np.arange(N) / 2.0).astype(np.int)\n",
"alternating_sign = 2 * ((np.arange(N) % 2) - .5)\n",
"Xs = alternating_sign.reshape((-1, 1)) * X[rg, :]\n",
"\n",
"y = model.forward(Xs)\n",
"\n",
"# Center y for this demo.\n",
"y = y - y.mean()\n",
"for i in range(5):\n",
" w_hat = estimate_w_hat(Xs, y + i * 2)\n",
" rho = calculate_rho(w_hat, model.w)\n",
" results += [{'nstims': j + 1, \n",
" 'rho': rho[j], \n",
" 'offset': str(i*2)} for j in range(len(rho))]\n",
"\n",
"df = pd.DataFrame(results)\n",
"sns.lineplot(x='nstims', y='rho', hue='offset', data=df, ci=None)\n",
"plt.legend((0, 2, 4, 6, 8))\n",
"plt.title(\"Estimate quality, antithetic sampling estimate\")"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n",
"is_executing": false
}
}
},
{
"cell_type": "markdown",
"source": [
"Indeed, this renders the estimates largely immune to the offset. However, there's another way of reducing the variance: choose $a$ such that $Var(\\hat w)$ is minimized. Note that the expectation of $X^T a$ is 0, so it cannot affect the mean of the estimator; however, it can nevertheless change its variance. Indeed, we can show that the minimum variance estimate for $\\hat w$ occurs when $a = \\bar y$. \n",
"\n",
"This trick also pops up in other Monte Carlo estimates; see the [Control Variates section of this excellent blog post](http://blog.shakirm.com/2015/11/machine-learning-trick-of-the-day-5-log-derivative-trick/) for more references. "
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% md\n"
}
}
},
{
"cell_type": "code",
"execution_count": 14,
"outputs": [
{
"name": "stderr",
"text": [
"/home/pmin/miniconda3/envs/brian-notebooks/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in true_divide\n",
" if __name__ == '__main__':\n"
],
"output_type": "stream"
}
],
"source": [
"def estimate_w_hat_low_var(X, Y):\n",
" N = X.shape[0]\n",
" # remove the mean.\n",
" Ym = np.cumsum(Y)\n",
" estimates = np.cumsum(X * (Y.reshape((-1, 1))), axis=0)\n",
" mean = (Ym / np.arange(1, N + 1)).reshape((-1, 1)) * np.cumsum(X, axis=0)\n",
" w_hat = 1 / np.arange(1, N + 1).reshape((-1, 1)) * (estimates - mean)\n",
" return w_hat\n",
"\n",
"results = []\n",
"X = np.random.randn(N, len(model.w))\n",
"y = model.forward(X)\n",
"\n",
"for i in range(5):\n",
" w_hat = estimate_w_hat_low_var(X, y + i * 2)\n",
" rho = calculate_rho(w_hat, model.w)\n",
" results += [{'nstims': j + 1, \n",
" 'rho': rho[j], \n",
" 'offset': str(i*2)} for j in range(len(rho))]"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n",
"is_executing": false
}
}
},
{
"cell_type": "code",
"execution_count": 15,
"outputs": [
{
"data": {
"text/plain": "Text(0.5, 1.0, 'Estimate quality, variance-stabilized estimate')"
},
"metadata": {},
"output_type": "execute_result",
"execution_count": 15
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 389,
"height": 281
}
},
"output_type": "display_data"
}
],
"source": [
"df = pd.DataFrame(results)\n",
"sns.lineplot(x='nstims', y='rho', hue='offset', data=df, ci=None)\n",
"plt.legend((0, 2, 4, 6, 8))\n",
"plt.title(\"Estimate quality, variance-stabilized estimate\")"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n",
"is_executing": false
}
}
},
{
"cell_type": "markdown",
"source": [
"Which *trick* works best? For this scenario, it turns out that the variance-stabilized estimate works better than antithetic sampling:"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% md\n"
}
}
},
{
"cell_type": "code",
"source": [
"N = 4000\n",
"results = []\n",
"for i in range(100):\n",
" X = np.random.randn(N, model.input_size)\n",
" Y = model.forward(X)\n",
"\n",
" w_hat = estimate_w_hat_low_var(X, Y)\n",
" rho = calculate_rho(w_hat, model.w)\n",
" \n",
" rg = np.floor(np.arange(N) / 2.0).astype(np.int)\n",
" alternating_sign = 2 * ((np.arange(N) % 2) - .5)\n",
" Xs = alternating_sign.reshape((-1, 1)) * X[rg, :]\n",
" Y = model.forward(Xs)\n",
" \n",
" w_hat = estimate_w_hat_low_var(Xs, Y)\n",
" rho_p = calculate_rho(w_hat, model.w)\n",
"\n",
" results += [{'run': i, \n",
" 'nstims': j + 1, \n",
" 'rho': rho[j], \n",
" 'sampling_type': 'normal'} for j in range(len(rho))]\n",
" results += [{'run': i, \n",
" 'nstims': j + 1, \n",
" 'rho': rho_p[j], \n",
" 'sampling_type': 'antithetical'} for j in range(len(rho_p))]\n",
" \n",
"df = pd.DataFrame(results)"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% \n",
"is_executing": false
}
},
"execution_count": 16,
"outputs": [
{
"name": "stderr",
"text": [
"/home/pmin/miniconda3/envs/brian-notebooks/lib/python3.7/site-packages/ipykernel_launcher.py:9: RuntimeWarning: invalid value encountered in true_divide\n",
" if __name__ == '__main__':\n"
],
"output_type": "stream"
}
]
},
{
"cell_type": "code",
"execution_count": 17,
"outputs": [
{
"data": {
"text/plain": ""
},
"metadata": {},
"output_type": "execute_result",
"execution_count": 17
},
{
"data": {
"text/plain": "",
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 503,
"height": 375
}
},
"output_type": "display_data"
}
],
"source": [
"ax = plt.figure(figsize=(8, 6)).gca()\n",
"sns.lineplot(x='nstims', y='rho', hue='sampling_type', data=df[::100], ax=ax)"
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%%\n",
"is_executing": false
}
}
},
{
"cell_type": "markdown",
"source": [
"Conclusion: always use the variance-stabilized estimate by removing subtracting the mean response from $y$. Antithetic sampling may also be helpful in some scenarios."
],
"metadata": {
"collapsed": false,
"pycharm": {
"name": "#%% md\n"
}
}
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.4"
},
"pycharm": {
"stem_cell": {
"cell_type": "raw",
"source": [],
"metadata": {
"collapsed": false
}
}
}
},
"nbformat": 4,
"nbformat_minor": 4
}