{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"%%HTML\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# kNN in high dimensional spaces\n",
"\n",
"## The curse of dimensionality\n",
"\n",
"**Mahmood Amintoosi, Fall 2024**\n",
"\n",
"Computer Science Dept, Ferdowsi University of Mashhad"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.neighbors import KNeighborsClassifier\n",
"from sklearn.metrics import accuracy_score\n",
"from sklearn.datasets import make_classification\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from scipy.stats import norm"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"No artists with labels found to put in legend. Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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pxNChQ5Genq56WFlZoVWrVmq7g4HHx/7HjRtXoeXu3bsXANQG4AHAnDlzAAB79uxRa3dycoK/v3+5fY0ePVpt0J6Pjw8EQcD48ePVpvPx8cH9+/dRUlKiantyHFFWVhbS09PRq1cv3LlzR223PgC4urqiR48eqr/Nzc3h4uKCO3fuqNq2b98Od3f3cv9lJpFIADw+fNW2bVu0adNGbbuWHn7873Z90t9//43U1FRMmTJF7Vj9K6+8gjZt2pTZbpV17do19OrVC46Ojjh06BBMTEwq3ceMGTNgYmKiGhz6PEZGRpg5cyZ27dqFiIiISi2rR48eOHnyJAAgJycHkZGRmDRpEszMzFTtJ0+ehLGxMdq3b1+5FXlCRV77yho3bpzaOIXS/kv7jIiIQGxsLGbOnFlmHFfpe+lJ77zzjtrfW7duhZGREV5++WW195m3tzf09fXV3mdPfg5ycnKQnp6OHj16ID8/H1FRUQCg2sNz4MAB5OfnV3p9J02apFZ3jx49oFAocO/ePQDA4cOHUVJSgilTpqjNN3369Eot57XXXsPBgwfVHv7+/hAEAdu3b0dAQAAEQVDbJv7+/sjKylIdupXJZKrXRqlU4sGDBygpKUHHjh0rfHi3sgYPHqw6pAYADx48wJEjRzB06FDVa5Keno6MjAz4+/sjOjpa7bB3VZSeaZmTk/Pcad966y3V/xsbG8PFxQV6enoYOnSoqt3FxQXGxsZqn4utW7eiR48eMDExUdvmfn5+UCgUOHHihNpyhg0bpva989/PRel40mPHjpU5lPsse/fuhZWVldrYVk1NTbz77rvIzc3F8ePH66SO6uAhsBq2atUqtG7dGhoaGrC0tISLi4vqDI7o6GgIgoBWrVqVO+9/zxSwtbWt8MCze/fuQSqVomXLlmrtVlZWMDY2Vn0plirdnVqe5s2bq/1d+kVtb29fpl2pVCIrK0t1iO/06dMICgrC2bNny3ypZ2Vlqe3W/+9yAMDExETtzX/79m0MHjz4qbUCj7frzZs31b7snlQ6eLk8pdvlyUOApdq0aaN26KcqAgICYGlpiQMHDpQ5DT03Nxe5ubmqv2UyWbnrUBpogoKCEBERUaEQ9eShs507d1a43h49eiAkJAQxMTG4ffs2JBIJfH19VcFo4sSJOHnyJLp161atM5Mq8tpXt8/S7VTaZ+nh6IoENw0NDdjZ2am1RUdHIysrCxYWFuXO8+T77Pr161iwYAGOHDmC7OxstelK/yHg5OSE2bNnY8WKFfjtt9/Qo0cPDBgwAKNGjXru4S/g+etb+t7+73eCqalppYK4nZ1duWc9pqamIjMzE99//z2+//77cud9cpts3LgRX331FaKiolBcXKxqf9Z3UXX8t9+YmBgIgoCFCxdi4cKFT63X1ta2ysss/TwbGBg8czptbe0yn3UjIyPY2dmVCeNGRkZqn4vo6GhcuXKlwt93z3ufyOVyLF++HHPmzIGlpSW6dOmCV199FaNHj37m5Q7u3buHVq1alfkeKD3U/d/fnNqqozoYgGpY586dVWeB/ZdSqYREIsG+ffsgk8nKPP/fH8iqnJVV3r9ky/Osvsur7VntgiAAePwD89JLL6FNmzZYsWIF7O3toaWlhb179+J///uf2gC9ivRXUUqlEm5ublixYkW5z/83uNWlwYMHY+PGjfjtt98wefJktee+/PJLtb06Dg4OTx3sVxpolixZUuYYf3lKQ9PixYsrtReoe/fuAIATJ07gzp078PLyUg1Y/eabb5Cbm4uIiAi1gZ5VUVOvfW31KZfLy3yxK5VKWFhY4Lfffit3ntIfpMzMTPTq1QuGhoZYunQpWrRoAW1tbYSHh+ODDz5Q+xx89dVXGDt2LHbu3Im//voL7777LoKDg3Hu3LkyAey/amMbVkbpeowaNUp1gsB/lY7f+fXXXzF27FgMHDgQ7733HiwsLCCTyRAcHKwKps8jkUjKXbf/Diwv9d/vuNJ6586d+9S93/8Ni5V17do1yGSy54a6qn7HAo/X4+WXX8b7779f7rStW7eudJ8zZ85EQEAAduzYgQMHDmDhwoUIDg7GkSNH4Onp+cx1qaj6UseTGIDqUIsWLSAIApycnMq8SavLwcEBSqUS0dHRaoNNU1JSkJmZCQcHhxpdXnn+/PNPFBYWYteuXWpp/1mHoJ6nRYsWuHbt2nOniYyMxEsvvVThAFiqdLvcunVLdcis1K1bt6q93b744gtoaGhgypQpMDAwwBtvvKF6bvTo0arAATw7lD4ZaJ72Y/NfM2fOxMqVK7FkyZIKn7rfvHlzNG/eHCdPnsSdO3dUu6l79uyJ2bNnY+vWrVAoFOjZs+cz+6ns61AXSgetX7t2rUrXcWrRogUOHTqEbt26PfO1OnbsGDIyMhAaGqq2nZ48E/RJbm5ucHNzw4IFC3DmzBl069YNISEh+OSTTypd45NK37sxMTFqP8gZGRk1cojB3NwcBgYGUCgUz92e27Ztg7OzM0JDQ9XeG0FBQWrTPet9Y2JiUu4h0v/uaXgaZ2dnAI/3tNfGdbzi4uJw/Phx+Pr6PncPUHW0aNECubm5Nb4OLVq0wJw5czBnzhxER0fDw8MDX331FX799ddyp3dwcMCVK1egVCrV/rFQeoi3qt+dla2jOjgGqA4NGjQIMpkMS5YsKfMvGUEQkJGRUeW+S6878d+9A6V7RV555ZUq911RpQn/yXXLysrC+vXrq9zn4MGDERkZWeYstieXM3ToUCQkJOCHH34oM82jR4+Ql5f31P47duwICwsLhISEqJ0yv2/fPty8ebPa200ikeD777/H66+/jjFjxqidyeXs7Aw/Pz/Vo1u3bs/sq3TsytKlSyu07NLQtHPnTly+fLnCNffo0QNHjhzBhQsXVAHIw8MDBgYGWLZsGXR0dJ57YcbSa+Y87VYhYvDy8oKTkxNWrlxZpq6K7DUZOnQoFAoFPv744zLPlZSUqPos73NQVFSE1atXq82TnZ2tNn4OeByGpFJphS/f8CwvvfQSNDQ0ylyG4rvvvqt238Dj9Rw8eDC2b99e7j9Snjwlv7xtcv78eZw9e1ZtntKz7cp737Ro0QJRUVFq/UZGRuL06dMVqtfCwgK9e/fG2rVrkZSU9Mx6K+vBgwcYMWIEFAoFPvrooyr3UxFDhw7F2bNnceDAgTLPZWZmlnlPPU9+fn6ZswJbtGgBAwODZ74P+/fvj+TkZLWzDktKSvDtt99CX18fvXr1qpM6qoN7gOpQixYt8Mknn2D+/Pm4e/cuBg4cCAMDA8TGxiIsLAyTJk3C3Llzq9S3u7s7xowZg++//161C/7ChQvYuHEjBg4ciBdeeKGG16asPn36QEtLCwEBAZg8eTJyc3Pxww8/wMLCotwvnIp47733sG3bNgwZMgTjx4+Ht7c3Hjx4gF27diEkJATu7u548803sWXLFrz99ts4evQounXrBoVCgaioKGzZskV1vaPyaGpqYvny5Rg3bhx69eqFESNGqE6Dd3R0xKxZs6qzSQAAUqkUv/76KwYOHIihQ4di7969ZfY2VYSRkRFmzJhR4cHQwL+HziIjIyt8Ib8ePXrgt99+g0QiUe2hkslk6Nq1Kw4cOIDevXs/d2yah4cHZDIZli9fjqysLMjlctX1ocQilUqxZs0aBAQEwMPDA+PGjYO1tTWioqJw/fr1cn9QntSrVy9MnjwZwcHBuHz5Mvr06QNNTU1ER0dj69at+Prrr/H666+ja9euMDExwZgxY/Duu+9CIpHgl19+KROyjhw5gmnTpmHIkCFo3bo1SkpK8Msvv6iCRXVZWlpixowZ+OqrrzBgwAD07dsXkZGR2LdvH8zMzGpkL92yZctw9OhR+Pj4YOLEiXB1dcWDBw8QHh6OQ4cO4cGDBwCAV199FaGhoQgMDMQrr7yC2NhYhISEwNXVVW0cnI6ODlxdXbF582a0bt0apqamaN++Pdq3b4/x48djxYoV8Pf3x4QJE5CamoqQkBC0a9euzDirp1m1ahW6d+8ONzc3TJw4Ec7OzkhJScHZs2cRHx+PyMjI5/bxzz//4Ndff4UgCMjOzkZkZCS2bt2K3NxcrFixAn379q3axqyg9957D7t27cKrr76qunREXl4erl69im3btuHu3bsVvswG8Hh9XnrpJQwdOhSurq7Q0NBAWFgYUlJSMHz48KfON2nSJKxduxZjx47FpUuX4OjoiG3btuH06dNYuXJlpfeCVbWO6mAAqmPz5s1D69atVeM5gMdjVPr06YMBAwZUq+8ff/wRzs7O2LBhA8LCwmBlZYX58+eX2c1cW1xcXLBt2zYsWLAAc+fOhZWVFd555x2Ym5uXOYOsovT19XHy5EkEBQUhLCwMGzduhIWFBV566SXVGAmpVIodO3bgf//7H37++WeEhYVBV1cXzs7OmDFjxnMPN44dOxa6urpYtmwZPvjgA9VF5ZYvX15jV33W1NTEtm3b0K9fP7z22ms4dOgQfHx8Kt1P6WGt/55R9zTGxsaYOXNmpUJT6V6fNm3aqAa3l7YfOHBA7eytp7GyskJISAiCg4MxYcIEKBQKHD16VNQABAD+/v44evQolixZgq+++gpKpRItWrTAxIkTKzR/SEgIvL29sXbtWnz44YfQ0NCAo6MjRo0apdqD16xZM+zevRtz5szBggULYGJiglGjRuGll15SG3vi7u4Of39//Pnnn0hISICuri7c3d2xb98+dOnSpUbWd/ny5dDV1cUPP/yAQ4cOwdfXF3/99Re6d+9eI1cotrS0xIULF7B06VKEhoZi9erVaNasGdq1a4fly5erphs7diySk5Oxdu1aHDhwAK6urvj111+xdevWMhfI/PHHHzF9+nTMmjULRUVFCAoKQvv27dG2bVv8/PPPWLRoEWbPng1XV1f88ssv+P333yt87zBXV1f8/fffWLJkCTZs2ICMjAxYWFjA09NT7Xpmz1J6JpxUKoWhoSGcnJwwZswYTJo0Ca6urhXddFWmq6uL48eP47PPPsPWrVvx888/w9DQEK1bt8aSJUsqNID+Sfb29hgxYgQOHz6MX375BRoaGmjTpg22bNnyzCCuo6ODY8eOYd68edi4cSOys7Ph4uKC9evXV+kim1WtozokQl2NmCMiItFlZmbCxMQEn3zySa0friGqzzgGiIiokXr06FGZttJxgvX1ZqNEdYWHwIiIGqnNmzdjw4YN6N+/P/T19XHq1Cn88ccf6NOnz3MH3RM1dgxARESNVIcOHaChoYHPP/8c2dnZqoHR1T3Fnqgx4BggIiIianI4BoiIiIiaHAYgIiIianI4BqgcSqUSiYmJMDAwqJeX9CciIqKyBEFATk4ObGxsnnvDZgagciQmJop6A00iIiKquvv37z/3hsIMQOUovYT3/fv3YWhoKHI1REREVBHZ2dmwt7ev0K04GIDKUXrYy9DQkAGIiIioganI8BUOgiYiIqImhwGIiIiImhwGICIiImpyGICIiIioyRE9AK1atQqOjo7Q1taGj48PLly48NRpi4uLsXTpUrRo0QLa2tpwd3fH/v371aZZvHgxJBKJ2qNNmza1vRpERETUgIgagDZv3ozZs2cjKCgI4eHhcHd3h7+/P1JTU8udfsGCBVi7di2+/fZb3LhxA2+//TYCAwMRERGhNl27du2QlJSkepw6daouVoeIiIgaCFED0IoVKzBx4kSMGzcOrq6uCAkJga6uLtatW1fu9L/88gs+/PBD9O/fH87OznjnnXfQv39/fPXVV2rTaWhowMrKSvUwMzOri9UhIiKiBkK0AFRUVIRLly7Bz8/v32KkUvj5+eHs2bPlzlNYWAhtbW21Nh0dnTJ7eKKjo2FjYwNnZ2eMHDkScXFxz6ylsLAQ2dnZag8iIiJqvEQLQOnp6VAoFLC0tFRrt7S0RHJycrnz+Pv7Y8WKFYiOjoZSqcTBgwcRGhqKpKQk1TQ+Pj7YsGED9u/fjzVr1iA2NhY9evRATk7OU2sJDg6GkZGR6sHbYBARETVuog+Croyvv/4arVq1Qps2baClpYVp06Zh3Lhxajc869evH4YMGYIOHTrA398fe/fuRWZmJrZs2fLUfufPn4+srCzV4/79+3WxOkRERCQS0QKQmZkZZDIZUlJS1NpTUlJgZWVV7jzm5ubYsWMH8vLycO/ePURFRUFfXx/Ozs5PXY6xsTFat26NmJiYp04jl8tVt73g7S+IiIgaP9ECkJaWFry9vXH48GFVm1KpxOHDh+Hr6/vMebW1tWFra4uSkhJs374dr7322lOnzc3Nxe3bt2FtbV1jtRMREVHDJuohsNmzZ+OHH37Axo0bcfPmTbzzzjvIy8vDuHHjAACjR4/G/PnzVdOfP38eoaGhuHPnDk6ePIm+fftCqVTi/fffV00zd+5cHD9+HHfv3sWZM2cQGBgImUyGESNG1Pn6/ZcgCLiXkYeEzEdil0JERNSkiXo3+GHDhiEtLQ2LFi1CcnIyPDw8sH//ftXA6Li4OLXxPQUFBViwYAHu3LkDfX199O/fH7/88guMjY1V08THx2PEiBHIyMiAubk5unfvjnPnzsHc3LyuV6+MT/fcxI+nYjGppzM+7N9W7HKIiIiaLIkgCILYRdQ32dnZMDIyQlZWVo2OBwqLiMeszZFwtzPCzmnda6xfIiIiqtzvd4M6C6yh83FqBgC4lpiN3MISkashIiJquhiA6pCNsQ7sTXWgUAr4++4DscshIiJqshiA6ljpXqDzsQxAREREYmEAqmM+TqYAgPN3MkSuhIiIqOliAKpjXZwf7wG6Ep+F/CKOAyIiIhIDA1AdszPRgY2RNkqUAi7deyh2OURERE0SA1Adk0gk8Pn/vUDn73AcEBERkRgYgESgGgcUy3FAREREYmAAEkHpHqDI+1koKFaIXA0REVHTwwAkAsdmurA0lKNIoUR4HMcBERER1TUGIBFIJJJ/rwfEcUBERER1jgFIJD7OHAdEREQkFgYgkZTuAYqIy0RhCccBERER1SUGIJG0MNeDmb4chSVKRN7PErscIiKiJoUBSCSPxwHxthhERERiYAASUek4oHMcB0RERFSnGIBEVDoO6NK9hygqUYpcDRERUdPBACSiVhb6MNHVREGxElcTMsUuh4iIqMlgABKRVCpB5/8fB3SO1wMiIiKqMwxAIlNdEDGWAYiIiKiuMACJrMv/3xfs0t0HKFFwHBAREVFdYAASWRsrAxjpaCKvSIFridlil0NERNQkMACJTCqVoJMjrwdERERUlxiA6oEuqvuCcRwQERFRXWAAqgdKB0JfjH0AhVIQuRoiIqLGjwGoHnC1MYSBXAM5hSW4mcRxQERERLWNAagekEkl6OhoAgA4x3FAREREtY4BqJ7w+f/T4XlBRCIiotrHAFRPlN4Z/uLdB1ByHBAREVGtYgCqJ9rbGkFXS4asR8WISs4RuxwiIqJGjQGontCUSeHt8Hgc0PlYjgMiIiKqTQxA9UjpbTHOcxwQERFRrWIAqkdKL4h44e4DCALHAREREdUWBqB6xM3WGNqaUjzIK0J0aq7Y5RARETVaDED1iJbGE+OAeD0gIiKiWsMAVM+U3hbjHO8LRkREVGsYgOqZ0usBnb+TwXFAREREtYQBqJ5xtzeGloYU6blFuJ2WJ3Y5REREjRIDUD2jrSmDp70xAF4PiIiIqLYwANVDPrweEBERUa1iAKqHupSOA4rlOCAiIqLawABUD3k2N4GmTIKU7ELcy8gXuxwiIqJGhwGoHtLRksGD44CIiIhqDQNQPVV6PSCOAyIiIqp5DED1lI9z6TggBiAiIqKaJnoAWrVqFRwdHaGtrQ0fHx9cuHDhqdMWFxdj6dKlaNGiBbS1teHu7o79+/dXq8/6ytvBBBpSCRIyH+H+A44DIiIiqkmiBqDNmzdj9uzZCAoKQnh4ONzd3eHv74/U1NRyp1+wYAHWrl2Lb7/9Fjdu3MDbb7+NwMBAREREVLnP+kpXSwNudkYAuBeIiIiopkkEEc+z9vHxQadOnfDdd98BAJRKJezt7TF9+nTMmzevzPQ2Njb46KOPMHXqVFXb4MGDoaOjg19//bVKfZYnOzsbRkZGyMrKgqGhYXVXs8qW7YtCyPHbeN3bDl8OcRetDiIiooagMr/fou0BKioqwqVLl+Dn5/dvMVIp/Pz8cPbs2XLnKSwshLa2tlqbjo4OTp06VeU+S/vNzs5We9QH/44D4plgRERENUm0AJSeng6FQgFLS0u1dktLSyQnJ5c7j7+/P1asWIHo6GgolUocPHgQoaGhSEpKqnKfABAcHAwjIyPVw97evpprVzM6OphAKgHuP3iExMxHYpdDRETUaIg+CLoyvv76a7Rq1Qpt2rSBlpYWpk2bhnHjxkEqrd5qzJ8/H1lZWarH/fv3a6ji6jHQ1kR729JxQNwLREREVFNEC0BmZmaQyWRISUlRa09JSYGVlVW585ibm2PHjh3Iy8vDvXv3EBUVBX19fTg7O1e5TwCQy+UwNDRUe9QXPqW3xeD1gIiIiGqMaAFIS0sL3t7eOHz4sKpNqVTi8OHD8PX1fea82trasLW1RUlJCbZv347XXnut2n3WV6oLIvJMMCIiohqjIebCZ8+ejTFjxqBjx47o3LkzVq5ciby8PIwbNw4AMHr0aNja2iI4OBgAcP78eSQkJMDDwwMJCQlYvHgxlEol3n///Qr32dB0cjKFRALEpuchNbsAFobaz5+JiIiInknUADRs2DCkpaVh0aJFSE5OhoeHB/bv368axBwXF6c2vqegoAALFizAnTt3oK+vj/79++OXX36BsbFxhftsaIx0NOFqbYjridk4disNQzvVjwHaREREDZmo1wGqr+rLdYBKrToagy8O3IKNkTYOzekFXS1RcysREVG91CCuA0QVN6G7E2yNdZCYVYCQY7fFLoeIiKjBYwBqALQ1ZVj4alsAQMiJO7w3GBERUTUxADUQ/u2s0K1lMxSVKPHx7htil0NERNSgMQA1EBKJBEEB7SCTSvDXjRSc+CdN7JKIiIgaLAagBqS1pQFG+zoAAJb8eR3FCqXIFRERETVMDEANzEy/1mimp4XbaXnYeOau2OUQERE1SAxADYyRjibe7+sCAPj6UDTScgpFroiIiKjhYQBqgIZ426ODnRFyCkvw+f4oscshIiJqcBiAGiCpVILFA9oBALZeisfl+5niFkRERNTAMAA1UF7NTTDYyw4AELTrOpRKXtCbiIioohiAGrAP+rpAX66ByPuZ2BYeL3Y5REREDQYDUANmYaiNd19qCQD4fH8UsguKRa6IiIioYWAAauDGdnWCs7ke0nOL8M2haLHLISIiahAYgBo4LQ0pFr3qCgDYcOYuYlJzRK6IiIio/mMAagR6u1jAr60lSpQClvx5A4LAAdFERETPwgDUSCx8tS20ZFKcjE7HXzdSxC6HiIioXmMAaiQcmulhYk8nAMDHu2+goFghckVERET1FwNQIzL1hZawMtRG/MNH+OHEHbHLISIiqrcYgBoRXS0NfPhKWwDAqmMxSMh8JHJFRERE9RMDUCMT0MEanR1NUVCsxGd7b4pdDhERUb3EANTISCSP7xMmlQB7riTh7O0MsUsiIiKqdxiAGiFXG0OM9HEAACz58zpKFEqRKyIiIqpfGIAaqdkvt4axriaiknPw2/k4scshIiKqVxiAGikTPS3M6eMCAPjqr1t4kFckckVERET1BwNQI/ZG5+Zoa22I7IISfPnXLbHLISIiqjcYgBoxmVSCJQPaAQD+uBCHawlZIldERERUPzAANXKdnUwxwN0GggAs3nWd9wkjIiICA1CTML9/G+hoyvD3vYfYeTlR7HKIiIhExwDUBFgb6WDaiy0BAJ/tvYncwhKRKyIiIhIXA1ATMaG7Exya6SI1pxCrjsaIXQ4REZGoGICaCG1NGRa+4goA+PHkHcSm54lcERERkXgYgJqQl9paoFdrcxQrBHy8+4bY5RAREYmGAagJkUgkWBTgCk2ZBEeiUnEkKkXskoiIiETBANTEtDDXx/huTgCAj3ffRGGJQuSKiIiI6h4DUBM07cWWMDeQIzY9D+tO3RW7HCIiojrHANQEGWhrYl7fNgCAb49EIyW7QOSKiIiI6hYDUBMV6GkLr+bGyC9SYNm+KLHLISIiqlMMQE2UVCrB4gHtIJEAYREJ2H8tSeySiIiI6gwDUBPWwc4Yb3RuDgB457dw/HjyDu8VRkRETQIDUBO3eEA7vOHTHIIAfLLnJj7acQ3FCqXYZREREdUqBqAmTlMmxacD22PBK20hkQC/n4/D+A0XkV1QLHZpREREtYYBiCCRSPBWD2d8/2ZH6GjKcDI6HYNXn8H9B/lil0ZERFQrGIBI5WVXS2x92xeWhnJEp+YicPVphMc9FLssIiKiGscARGra2xph59TuaGdjiPTcIgz//hz+jEwUuywiIqIaxQBEZVgZaWPLZF/4tbVAUYkS0/+IwHdHonmGGBERNRqiB6BVq1bB0dER2tra8PHxwYULF545/cqVK+Hi4gIdHR3Y29tj1qxZKCj490rGixcvhkQiUXu0adOmtlej0dGTa2Dtmx0xofvj+4Z9+dc/mLM1kvcOIyKiRkFDzIVv3rwZs2fPRkhICHx8fLBy5Ur4+/vj1q1bsLCwKDP977//jnnz5mHdunXo2rUr/vnnH4wdOxYSiQQrVqxQTdeuXTscOnRI9beGhqir2WDJpBIsfNUVjmZ6WLzrOkLDExD/8BHWjvKGiZ6W2OURERFVmah7gFasWIGJEydi3LhxcHV1RUhICHR1dbFu3bpypz9z5gy6deuGN954A46OjujTpw9GjBhRZq+RhoYGrKysVA8zM7O6WJ1G680uDlg3thMM5Bq4EPsAgatP405arthlERERVZloAaioqAiXLl2Cn5/fv8VIpfDz88PZs2fLnadr1664dOmSKvDcuXMHe/fuRf/+/dWmi46Oho2NDZydnTFy5EjExcU9s5bCwkJkZ2erPUhdr9bm2PZOV9ga6+BuRj4GrTmDc3cyxC6LiIioSkQLQOnp6VAoFLC0tFRrt7S0RHJycrnzvPHGG1i6dCm6d+8OTU1NtGjRAr1798aHH36omsbHxwcbNmzA/v37sWbNGsTGxqJHjx7Iycl5ai3BwcEwMjJSPezt7WtmJRsZFysD7JjaDR72xsjML8abP53HtkvxYpdFRERUaaIPgq6MY8eO4bPPPsPq1asRHh6O0NBQ7NmzBx9//LFqmn79+mHIkCHo0KED/P39sXfvXmRmZmLLli1P7Xf+/PnIyspSPe7fv18Xq9MgmRvIsWlSF7ziZo1ihYC5WyPx5YFbUCp5hhgRETUcoo0ONjMzg0wmQ0pKilp7SkoKrKysyp1n4cKFePPNN/HWW28BANzc3JCXl4dJkybho48+glRaNs8ZGxujdevWiImJeWotcrkccrm8GmvTtGhryvDtCE84menhu6Mx+O5oDGIz8vDVEHdoa8rELo+IiOi5RNsDpKWlBW9vbxw+fFjVplQqcfjwYfj6+pY7T35+fpmQI5M9/sF92jVqcnNzcfv2bVhbW9dQ5QQAUqkEc/1d8OUQd2jKJNhzJQnDvz+HtJxCsUsjIiJ6LlEPgc2ePRs//PADNm7ciJs3b+Kdd95BXl4exo0bBwAYPXo05s+fr5o+ICAAa9aswaZNmxAbG4uDBw9i4cKFCAgIUAWhuXPn4vjx47h79y7OnDmDwMBAyGQyjBgxQpR1bOxe97bDz+N9YKSjicv3MzFw1Wn8k/L08VZERET1gagXyBk2bBjS0tKwaNEiJCcnw8PDA/v371cNjI6Li1Pb47NgwQJIJBIsWLAACQkJMDc3R0BAAD799FPVNPHx8RgxYgQyMjJgbm6O7t2749y5czA3N6/z9WsqfFs0Q9iUrhi/4SLuZuRj8OozWDXSCz1bc5sTEVH9JBF4f4MysrOzYWRkhKysLBgaGopdToPxMK8Ik3+5hAt3H0AmlWDJgHYY1cVB7LKIiKiJqMzvd4M6C4zqNxM9LfzyVmcM8rKFQilgwY5r+Hj3DSh4hhgREdUzDEBUo+QaMnw1xB1z+7QGAPx0KhaTf7mEvMISkSsjIiL6FwMQ1TiJRIJpL7bCtyM8oaUhxaGbKRi69iySswqePzMREVEdYACiWhPgboM/JnZBMz0tXE/MxmurTuFaQpbYZREREVUtAJWUlODQoUNYu3at6hYTiYmJyM3lDTJJnbeDCXZM7YZWFvpIyS7EkJCzOHgj5fkzEhER1aJKB6B79+7Bzc0Nr732GqZOnYq0tDQAwPLlyzF37twaL5AaPntTXWx7pyt6tDLDo2IFJv3yN348eeepF68kIiKqbZUOQDNmzEDHjh3x8OFD6OjoqNoDAwPVrupM9CQjHU2sG9sJb/g0hyAAn+y5iQU7rqFEoRS7NCIiaoIqfSHEkydP4syZM9DS0lJrd3R0REJCQo0VRo2PpkyKTwe2h7OZHj7dexO/nY9D3IN8rBrpBUNtTbHLIyKiJqTSe4CUSiUUCkWZ9vj4eBgYGNRIUdR4SSQSvNXDGWtHeUNHU4aT0el4fc0Z3H+QL3ZpRETUhFQ6APXp0wcrV65U/S2RSJCbm4ugoCD079+/JmujRqxPOytsfdsXloZy/JOSi8DVpxEe91DssoiIqImo9K0w7t+/j759+0IQBERHR6Njx46Ijo6GmZkZTpw4AQsLi9qqtc7wVhh1JynrESZs+Bs3krIh15Diq6HueLWDjdhlERFRA1SZ3+8q3QuspKQEmzdvRmRkJHJzc+Hl5YWRI0eqDYpuyBiA6lZeYQlmbIrAoZupAID3/F0wpXcLSCQSkSsjIqKGpNYCUHFxMdq0aYPdu3ejbdu21S60vmIAqnsKpYBP99zEutOxAIDBXnYIHuQGLQ1eq5OIiCqm1m6GqqmpiYIC3s6Aap5MKsGiAFd8PLA9ZFIJtofH482fzuNhXpHYpRERUSNU6X9eT506FcuXL0dJCW9uSTXvzS4O+GlMR+jLNXA+9gEGrTmD2PQ8scsiIqJGptJjgEoveKivrw83Nzfo6empPR8aGlqjBYqBh8DEdys5B+M3XERC5iMY62oiZJQ3ujg3E7ssIiKqxyrz+13pCyEaGxtj8ODBVS6OqCJcrAwQNrUrJv58CZH3M/HmT+exbFAHDPa2E7s0IiJqBKp0Flhjxz1A9UdBsQJztkRiz9UkAMC0F1pi9sutIZXyDDEiIlJXq3uASqWlpeHWrVsAABcXF5ibm1e1K6Kn0taU4dsRnnBopovVx27ju6MxuJuRhy+HuENbUyZ2eURE1EBVehB0Xl4exo8fD2tra/Ts2RM9e/aEjY0NJkyYgPx83s6Aap5UKsH7fdvg89c7QFMmwe4rSRjxwzmk5RSKXRoRETVQlQ5As2fPxvHjx/Hnn38iMzMTmZmZ2LlzJ44fP445c+bURo1EAIChHe3x83gfGOloIiIuE4GrT+OflByxyyIiogao0mOAzMzMsG3bNvTu3Vut/ejRoxg6dCjS0tJqsj5RcAxQ/XY7LRfjN1zEvYx8GMg1sGqkF3q25iFYIqKmrtYuhAgA+fn5sLS0LNNuYWHBQ2BUJ1qY6yNsSjd0djRFTmEJxm24iN/O3xO7LCIiakAqHYB8fX0RFBSkdkXoR48eYcmSJfD19a3R4oiexlRPC7+81RmDPG2hUAr4KOwaPtl9AwolT2okIqLnq/QhsGvXrsHf3x+FhYVwd3cHAERGRkJbWxsHDhxAu3btaqXQusRDYA2HIAj47kgMvjr4DwDgZVdLfD3cA7paVT7BkYiIGqhavxt8fn4+fvvtN0RFRQEA2rZty7vBk6h2RSZi7tZIFJUo0c7GED+N6QQrI22xyyIiojpU6wGosWMAapgu3XuIST//jYy8IlgZauPHMR3R3tZI7LKIiKiO1Oog6ODgYKxbt65M+7p167B8+fLKdkdUY7wdTLBjaje0tNBHcnYBhq49i0M3UsQui4iI6qFKB6C1a9eiTZs2ZdrbtWuHkJCQGimKqKrsTXWx/Z2u6N7SDPlFCkz85W/8dCoW3NFJRERPqnQASk5OhrW1dZl2c3NzJCUl1UhRRNVhpKOJ9eM6YUTn5hAE4OPdN7Bw5zWUKJRil0ZERPVEpQOQvb09Tp8+Xab99OnTsLGxqZGiiKpLUybFZ4Ht8VH/tpBIgF/PxWH8xr+RXVAsdmlERFQPVPpc4YkTJ2LmzJkoLi7Giy++CAA4fPgw3n//fd4Kg+oViUSCiT2d0byZLmZuuowT/6Th9TVn8NOYTrA31RW7PCIiElGlzwITBAHz5s3DN998g6KiIgCAtrY2PvjgAyxatKhWiqxrPAus8bkan4UJGy8iNacQZvpa+GF0R3g2NxG7LCIiqkF1chp8bm4ubt68CR0dHbRq1QpyubxKxdZHDECNU1LWI4zf8DduJmVDriHFiqEeeKVD2fFsRETUMNXqafCl9PX10alTJzRv3hz79u3DzZs3q9oVUZ2wNtLBtrd98VIbCxSWKDH193CsOhrDM8SIiJqgSgegoUOH4rvvvgPw+B5gHTt2xNChQ9GhQwds3769xgskqkl6cg18P7ojxndzAgB8ceAW3tt2BUUlPEOMiKgpqXQAOnHiBHr06AEACAsLgyAIyMzMxDfffINPPvmkxgskqmkyqQSLAlzx8WvtIJUA2y7F482fziMzv0js0oiIqI5UOgBlZWXB1NQUALB//34MHjwYurq6eOWVVxAdHV3jBRLVljd9HbFubCfoyzVwPvYBAlefQWx6nthlERFRHajSdYDOnj2LvLw87N+/H3369AEAPHz4ENravPkkNSy9XSyw7R1f2BrrIDY9D4GrT+P8nQyxyyIiolpW6QA0c+ZMjBw5EnZ2drCxsUHv3r0BPD405ubmVtP1EdW6NlaGCJvaFe72xsjML8aon85j+6V4scsiIqJaVKXT4C9duoS4uDi8/PLL0NfXBwDs2bMHxsbG6NatW40XWdd4GnzT9KhIgTlbL2Pv1WQAwPQXW2KWX2tIpRKRKyMiooqok+sANWYMQE2XUingi79uYc2x2wCAVztY48sh7tDWlIlcGRERPU+dXAeIqDGSSiX4oG8bfP56B2hIJdh9JQlv/HAO6bmFYpdGREQ1iAGIqBxDO9rj5wmdYaitgfC4TAxcdRrRKTlil0VERDWEAYjoKbq2MEPY1G5waKaL+IePMGj1GZyMThO7LCIiqgGiB6BVq1bB0dER2tra8PHxwYULF545/cqVK+Hi4gIdHR3Y29tj1qxZKCgoqFafRE/TwlwfYVO6oZOjCXIKSzB2/UX8fj5O7LKIiKiaKh2AHB0dsXTpUsTFVf9HYPPmzZg9ezaCgoIQHh4Od3d3+Pv7IzU1tdzpf//9d8ybNw9BQUG4efMmfvrpJ2zevBkffvhhlfskeh5TPS38+pYPAj1toVAK+DDsKj7dcwMKJc8fICJqqKp0HaDQ0FA4Ozvj5ZdfxqZNm1BYWLUBoitWrMDEiRMxbtw4uLq6IiQkBLq6uli3bl250585cwbdunXDG2+8AUdHR/Tp0wcjRoxQ28NT2T6JKkKuIcOKoe6Y/XJrAMAPJ2Px9q+XkF9UInJlRERUFVUKQJcvX8aFCxfQtm1bTJ8+HdbW1pg2bRrCw8Mr3E9RUREuXboEPz+/f4uRSuHn54ezZ8+WO0/Xrl1x6dIlVeC5c+cO9u7di/79+1e5TwAoLCxEdna22oPovyQSCd59qRW+Hu4BLQ0pDt5IwdC1Z5GSXfD8mYmIqF6p8hggLy8vfPPNN0hMTERQUBB+/PFHdOrUCR4eHli3bh2ed3mh9PR0KBQKWFpaqrVbWloiOTm53HneeOMNLF26FN27d4empiZatGiB3r17qw6BVaVPAAgODoaRkZHqYW9vX5FNQE3Uax62+GOiD0z1tHAtIRuvfXca1xOzxC6LiIgqocoBqLi4GFu2bMGAAQMwZ84cdOzYET/++CMGDx6MDz/8ECNHjqzJOgEAx44dw2effYbVq1cjPDwcoaGh2LNnDz7++ONq9Tt//nxkZWWpHvfv36+hiqmx8nYwxY4p3dDSQh/J2QUYEnIWh2+miF0WERFVkEZlZwgPD8f69evxxx9/QCqVYvTo0fjf//6HNm3aqKYJDAxEp06dntmPmZkZZDIZUlLUfzRSUlJgZWVV7jwLFy7Em2++ibfeegsA4Obmhry8PEyaNAkfffRRlfoEALlcDrlc/sx6if6reTNdbH+nK6b8dgmnYzIw8ee/seAVV4zr5giJhLfPICKqzyq9B6hTp06Ijo7GmjVrkJCQgC+//FIt/ACAk5MThg8f/sx+tLS04O3tjcOHD6valEolDh8+DF9f33Lnyc/Ph1SqXrJM9vgWBYIgVKlPouow0tHEhnGdMaKzPZQCsHT3DSzaeR0lCqXYpRER0TNUeg/QnTt34ODg8Mxp9PT0sH79+uf2NXv2bIwZMwYdO3ZE586dsXLlSuTl5WHcuHEAgNGjR8PW1hbBwcEAgICAAKxYsQKenp7w8fFBTEwMFi5ciICAAFUQel6fRDVNUybFZ4FucDLTQ/C+KPxy7h7iHuTjuzc8YaCtKXZ5RERUjkoHoNTUVCQnJ8PHx0et/fz585DJZOjYsWOF+xo2bBjS0tKwaNEiJCcnw8PDA/v371cNYo6Li1Pb47NgwQJIJBIsWLAACQkJMDc3R0BAAD799NMK90lUGyQSCSb1bIHmpnqYuTkCx/9Jw+trzuKnsR1hZ6IrdnlERPQflb4bfOfOnfH+++/j9ddfV2sPDQ3F8uXLcf78+RotUAy8GzxVx9X4LEzYeBGpOYUw05fjh9He8GxuInZZRESNXq3eDf7GjRvw8vIq0+7p6YkbN25UtjuiRsfNzgg7pnZDW2tDpOcWYvj357D3apLYZRER0RMqHYDkcnmZs6wAICkpCRoalT6iRtQo2RjrYOvbvnixjQUKS5SY8ls4Vh2Nee71sYiIqG5UOgD16dNHdd2cUpmZmfjwww/x8ssv12hxRA2ZvlwDP4zuiHHdHAEAXxy4hfe3XUFRCc8QIyISW6XHACUkJKBnz57IyMiAp6cnAODy5cuwtLTEwYMHG8VVlDkGiGraz2fvYvGu61AKQBdnU4SM8oaxrpbYZRERNSqV+f2udAACgLy8PPz222+IjIyEjo4OOnTogBEjRkBTs3Gc8ssARLXh6K1UTP89ArmFJXA208O6sZ3gaKYndllERI1GrQegxo4BiGpLVHI2Jmz4GwmZj2Csq4nv3+yIzk6mYpdFRNQo1EkAunHjBuLi4lBUVKTWPmDAgKp0V68wAFFtSs0pwMSNfyMyPguaMgmWD+6AQV52YpdFRNTg1WoAunPnDgIDA3H16lVIJBLVWS2l9z5SKBRVLLv+YACi2vaoSIHZWy5j37VkAMC7L7bErJdb8x5iRETVUKvXAZoxYwacnJyQmpoKXV1dXL9+HSdOnEDHjh1x7NixqtZM1KToaMmw6g0vvNO7BQDgmyMxeHfTZRQUN/x/QBARNQSVDkBnz57F0qVLYWZmBqlUCqlUiu7duyM4OBjvvvtubdRI1ChJpRJ80LcNPh/cARpSCf6MTMQbP5xDem6h2KURETV6lQ5ACoUCBgYGAAAzMzMkJiYCABwcHHDr1q2arY6oCRjayR4/T+gMQ20NhMdlInD1aUSn5IhdFhFRo1bpANS+fXtERkYCAHx8fPD555/j9OnTWLp0KZydnWu8QKKmoGsLM4RO6QaHZrq4/+ARBq05g1PR6WKXRUTUaFU6AC1YsABK5eMr2S5duhSxsbHo0aMH9u7di2+++abGCyRqKlpa6CNsSjd0dDBBTkEJxqy/gD8uxIldFhFRo1Qj1wF68OABTExMGs0ZLDwLjMRUWKLAB9uuYMflx4eXJ/V0xgd920AmbRyfLyKi2lJrZ4EVFxdDQ0MD165dU2s3NTVtNOGHSGxyDRn+N8wDs/xaAwC+P3EH7/x6CflFJSJXRkTUeFQqAGlqaqJ58+aN4lo/RPWZRCLBDL9W+Hq4B7RkUvx1IwVD155FSnaB2KURETUKlR4D9NFHH+HDDz/EgwcPaqMeInrCax62+H2iD0z1tHAtIRuvfXca1xOzxC6LiKjBq/QYIE9PT8TExKC4uBgODg7Q01O/mWN4eHiNFigGjgGi+iYuIx/jNlzA7bQ86GrJ8N0bnnixjaXYZRER1SuV+f3WqGznAwcOrGpdRFRFzZvpInRKN0z57RJOx2TgrY1/Y+Grrhjb1ZHj74iIqoB3gy8H9wBRfVWsUGLhjmvYdPE+AGC0rwMWveoKDVmlj2YTETU6tXovMCISj6ZMiuBBbpjfrw0kEuDns/cwYePfyCkoFrs0IqIGpdIBSCqVQiaTPfVBRLVLIpFgcq8WWDPSG9qaUhz/Jw2vrzmL+If5YpdGRNRgVHoMUFhYmNrfxcXFiIiIwMaNG7FkyZIaK4yInq1veytsMfbFhI1/41ZKDgauOoMfx3SEh72x2KUREdV7NTYG6Pfff8fmzZuxc+fOmuhOVBwDRA1JYuYjjN9wEVHJOZBrSPG/YR7o72YtdllERHVOlDFAXbp0weHDh2uqOyKqIBtjHWx7pytecDFHYYkSU34Lx+pjMeD5DURET1cjAejRo0f45ptvYGtrWxPdEVEl6cs18MPojhjb1REA8Pn+W/hg+xUUlSjFLYyIqJ6q9Big/970VBAE5OTkQFdXF7/++muNFkdEFachk2LxgHZwMtPDkj+vY8vf8bj/4BFCRnnDSFdT7PKIiOqVSo8B2rBhg1oAkkqlMDc3h4+PD0xMTGq8QDFwDBA1dEejUjHt93DkFSngbKaHdWM7wdFM7/kzEhE1YJX5/eaFEMvBAESNwc2kbEzYcBGJWQUw0dXE2jc7orOTqdhlERHVmlodBL1+/Xps3bq1TPvWrVuxcePGynZHRLWkrbUhdkzthg52RniYX4xRP55HWES82GUREdULlQ5AwcHBMDMzK9NuYWGBzz77rEaKIqKaYWGojc2TfNG3nRWKFErM2hyJFQf/4RliRNTkVToAxcXFwcnJqUy7g4MD4uLiaqQoIqo5OloyrB7phbd7tQAAfHM4GjM2XUZBsULkyoiIxFPpAGRhYYErV66UaY+MjESzZs1qpCgiqllSqQTz+rXB8sFu0JBKsCsyESN/PI+M3EKxSyMiEkWlA9CIESPw7rvv4ujRo1AoFFAoFDhy5AhmzJiB4cOH10aNRFRDhnVqjp/Hd4ahtgYu3XuIgatPIyY1R+yyiIjqXKXPAisqKsKbb76JrVu3QkPj8WWElEolRo8ejZCQEGhpadVKoXWJZ4FRYxeTmovxGy4i7kE+DLQ1sGakN7q3Kju2j4ioIamT0+Cjo6Nx+fJl6OjowM3NDQ4ODlUqtj5iAKKm4EFeESb9/Df+vvcQMqkEnwxsjxGdm4tdFhFRlfE6QNXEAERNRUGxAh9sv4KdlxMBAJN7OuODvm0glUqeMycRUf1Tq9cBGjx4MJYvX16m/fPPP8eQIUMq2x0RiUhbU4aVwzww068VAGDtiTt4+9dLyC8qEbkyIqLaVekAdOLECfTv379Me79+/XDixIkaKYqI6o5EIsFMv9ZYOcwDWjIp/rqRgmFrzyElu0Ds0oiIak2lA1Bubm65A501NTWRnZ1dI0URUd0b6GmL3yf6wFRPC1cTsjBw1WncSORnmogap0oHIDc3N2zevLlM+6ZNm+Dq6lojRRGRODo6miJsSle0MNdDUlYBhoScwZGoFLHLIiKqcRqVnWHhwoUYNGgQbt++jRdffBEAcPjwYfzxxx/l3iOMiBoWh2Z6CH2nG9757RLO3M7AWxv/xqJXXTG2W9krwBMRNVRVOgtsz549+Oyzz1SnwXfo0AFBQUHo1atXbdRY53gWGBFQrFBiQdg1bP77PgBgjK8DFr7qCg1ZpXccExHVCdFOg7927Rrat29fU92JhgGI6DFBEPD9iTsI3hcFAOjtYo5vR3jCQFtT5MqIiMqq1dPg/ysnJwfff/89OnfuDHd39+p2R0T1iEQiweReLRAyygvamlIcu5WGISFnkZD5SOzSiIiqpcoB6MSJExg9ejSsra3x5Zdf4sUXX8S5c+eq1NeqVavg6OgIbW1t+Pj44MKFC0+dtnfv3pBIJGUer7zyimqasWPHlnm+b9++VaqNiIC+7a2xeZIvzA3kiErOwWvfnUbk/UyxyyIiqrJKBaDk5GQsW7YMrVq1wpAhQ2BkZITCwkLs2LEDy5YtQ6dOnSpdwObNmzF79mwEBQUhPDwc7u7u8Pf3R2pqarnTh4aGIikpSfW4du0aZDJZmYsw9u3bV226P/74o9K1EdG/3O2NsWNqN7SxMkB6biGGfX8W+64miV0WEVGVVDgABQQEwMXFBVeuXMHKlSuRmJiIb7/9ttoFrFixAhMnTsS4cePg6uqKkJAQ6OrqYt26deVOb2pqCisrK9Xj4MGD0NXVLROA5HK52nQmJibVrpWoqbM11sG2d7qit4s5CoqVeOe3cKw5dhu8ow4RNTQVDkD79u3DhAkTsGTJErzyyiuQyWTVXnhRUREuXboEPz+/fwuSSuHn54ezZ89WqI+ffvoJw4cPh56enlr7sWPHYGFhARcXF7zzzjvIyMh4ah+FhYXIzs5WexBR+fTlGvhxdEeM8X18A+Tl+6Mwb/tVFJUoRa6MiKjiKhyATp06hZycHHh7e8PHxwffffcd0tPTq7Xw9PR0KBQKWFpaqrVbWloiOTn5ufNfuHAB165dw1tvvaXW3rdvX/z88884fPgwli9fjuPHj6Nfv35QKBTl9hMcHAwjIyPVw97evuorRdQEaMikWPJaeywOcIVUAmz++z7GrLuArPxisUsjIqqQCgegLl264IcffkBSUhImT56MTZs2wcbGBkqlEgcPHkROTk5t1lmun376CW5ubujcubNa+/DhwzFgwAC4ublh4MCB2L17Ny5evIhjx46V28/8+fORlZWlety/f78Oqidq+MZ2c8KPYzpCT0uGs3cyELjmNO5l5IldFhHRc1X6LDA9PT2MHz8ep06dwtWrVzFnzhwsW7YMFhYWGDBgQKX6MjMzg0wmQ0qK+qX2U1JSYGVl9cx58/LysGnTJkyYMOG5y3F2doaZmRliYmLKfV4ul8PQ0FDtQUQV82IbS2x9uyusjbRxJy0PA1edxsW7D8Qui4jomap1HSAXFxd8/vnniI+Pr9JZVlpaWvD29sbhw4dVbUqlEocPH4avr+8z5926dSsKCwsxatSo5y4nPj4eGRkZsLa2rnSNRPR8rjaG2Dm1G9xsjfAwvxgjfziPHREJYpdFRPRUNXol6KrYvHkzxowZg7Vr16Jz585YuXIltmzZgqioKFhaWmL06NGwtbVFcHCw2nw9evSAra0tNm3apNaem5uLJUuWYPDgwbCyssLt27fx/vvvIycnB1evXoVcLn9uTbwSNFHV5BeVYNbmyzhw/fFe3RkvtcJMv1aQSCQiV0ZETUFlfr8rfTPUmjZs2DCkpaVh0aJFSE5OhoeHB/bv368aGB0XFwepVH1H1a1bt3Dq1Cn89ddfZfqTyWS4cuUKNm7ciMzMTNjY2KBPnz74+OOPKxR+iKjqdLU0sGakN5YfiMLa43fw9eFoxKbn4fPXO0Bbs/pnjhIR1RTR9wDVR9wDRFR9my7EYcGOayhRCvB2MMH3b3qjmT7/EUJEtadO7wVGRFSe4Z2bY+P4zjDQ1sClew8xcPVpxKTW/dmiRETlYQAiolrTraUZwqZ0RXNTXdx/8AiBq8/gdEz1rh9GRFQTGICIqFa1tDBA2JSu8HYwQU5BCcasu4BNF+LELouImjgGICKqdc305fjtLR+85mGDEqWAeaFXEbz3JpRKDkEkInEwABFRndDWlGHlMA/MeKkVAGDtiTt457dLeFRU/i1qiIhqEwMQEdUZiUSCWS+3xsphHtCSSXHgegqGfX8WqdkFYpdGRE0MAxAR1bmBnrb4baIPTHQ1cSU+C6+tOo0bidlil0VETQgDEBGJopOjKXZM7QZncz0kZRVgSMgZHIlKef6MREQ1gAGIiETj0EwPYe90g69zM+QVKfDWxr+x4XSs2GURURPAAEREojLS1cTG8Z0xrKM9lAKw+M8bCNp5DSUKpdilEVEjxgBERKLT0pBi2WA3zOvXBgCw8ew9TPz5b+QWlohcGRE1VgxARFQvSCQSvN2rBdaM9IK2phRHb6Xh9TVnkJD5SOzSiKgRYgAionqln5s1Nk/yhbmBHFHJORi46jQi72eKXRYRNTIMQERU77jbG2PH1G5oY2WAtJxCDPv+LPZfSxK7LCJqRBiAiKhesjXWwda3fdHbxRwFxUq8/Ws4Qo7fhiDw9hlEVH0MQERUbxloa+LH0R0x2tcBALBsXxTmbb+KYp4hRkTVxABERPWahkyKpa+1x+IAV0glwOa/72PMugvIyi8WuzQiasAYgIioQRjbzQk/jukIPS0ZztzOQOCa07iXkSd2WUTUQDEAEVGD8WIbS2x9uyusjbRxJy0PgavP4O+7D8Qui4gaIAYgImpQXG0MsXNqN7jZGuFBXhHe+OE8dl5OELssImpgGICIqMGxMNTG5sld0MfVEkUKJWZsuoyVh/7hGWJEVGEMQETUIOlqaSBklDcm93QGAKw8FI2Zmy+joFghcmVE1BAwABFRgyWVSjC/f1sED3KDhlSCnZcTMerH88jILRS7NCKq5xiAiKjBG9G5OTaM6wwDbQ38fe8hAlefQUxqrthlEVE9xgBERI1C91ZmCJvSFfamOoh7kI9Bq0/jdEy62GURUT3FAEREjUZLCwPsmNIN3g4myC4owZh1F7D5YpzYZRFRPcQARESNSjN9OX57ywcD3G1QohTwwfarCPj2FNadikU6xwYR0f+TCDxvtIzs7GwYGRkhKysLhoaGYpdDRFUgCAK+PhyN747EoET5+GtOJpWgV2tzDPKyhV9bS2hrykSukohqUmV+vxmAysEARNR4ZOQW4s/IRIRFJCAyPkvVbiDXwCsdrBHoaYtOjqaQSiUiVklENYEBqJoYgIgap5jUXIRFxCMsPAGJWQWqdjsTHQR62iLQ0xbO5voiVkhE1cEAVE0MQESNm1Ip4HzsA4SGx2PftWTkFpaonvOwN8YgL1sEdLCBiZ6WiFUSUWUxAFUTAxBR0/GoSIGDN1MQGh6Pk9HpUPz/eCFNmQS9XSww2MsWL7SxgFyD44WI6jsGoGpiACJqmlJzCrDr8uPxQtcTs1XtRjqaeLWDNQZ52cKruQkkEo4XIqqPGICqiQGIiG4l5yA0Ih47IhKQkv3v6fMOzXQR6GmLQZ52aN5MV8QKiei/GICqiQGIiEoplALO3s5AaHg89l9PRn7Rvzdb7ehggkFednjFzRpGupoiVklEAANQtTEAEVF58gpLcOB6MsIiEnAqJh2l355aMin8XC0Q6GmHXq3NoaXBa8wSiYEBqJoYgIjoeZKzCrDzcgJCwxNwKyVH1W6qp4WADtYY5GWHDnZGHC9EVIcYgKqJAYiIKkoQBNxIykZYeAJ2XE5Uu92Gs7keBnvZ4TUPG9iZcLwQUW1jAKomBiAiqooShRKnYtIRGp6Av24ko6BYqXrOx8kUg73s0M/NCgbaHC9EVBsYgKqJAYiIqiunoBj7riUjLDwBZ+9kqNrlGlL0aWeFQZ626NHKDBoyjhciqikMQNXEAERENSkh8xF2RCQgNDwet9PyVO1m+nIMcLfBIC9btLMx5HghompiAKomBiAiqg2CIOBqQhZCwxOwKzIRD/KKVM+1ttTHIC87DPSwhZWRtohVEjVcDEDVxABERLWtWKHEiX/SEBqegIM3U1BU8ni8kEQCdGthhkBPW/RtbwU9uYbIlRI1HAxA1cQARER1KetRMfZeTUJYeAIu3H2gatfRlKFveysM8rJF1xZmkEl5iIzoWRiAqokBiIjEcv9BPsL+f7zQ3Yx8VbuloRwDPWwR6GWLNlb8XiIqT2V+v+vF6QerVq2Co6MjtLW14ePjgwsXLjx12t69e0MikZR5vPLKK6ppBEHAokWLYG1tDR0dHfj5+SE6OrouVoWIqFrsTXXx7kutcHRub4RO6YpRXZrDSEcTKdmFWHviDvquPIn+X5/EjyfvIDWnQOxyiRos0fcAbd68GaNHj0ZISAh8fHywcuVKbN26Fbdu3YKFhUWZ6R88eICion8HDmZkZMDd3R0//vgjxo4dCwBYvnw5goODsXHjRjg5OWHhwoW4evUqbty4AW3t5w8u5B4gIqpPCksUOBqVhrCIeByJSkWx4vHXtlQC9GhljkFetujjagUdLZnIlRKJq0EdAvPx8UGnTp3w3XffAQCUSiXs7e0xffp0zJs377nzr1y5EosWLUJSUhL09PQgCAJsbGwwZ84czJ07FwCQlZUFS0tLbNiwAcOHD39unwxARFRfPcwrwu6rSQgLj0d4XKaqXV+uoRov1MWpGaQcL0RNUIMJQEVFRdDV1cW2bdswcOBAVfuYMWOQmZmJnTt3PrcPNzc3+Pr64vvvvwcA3LlzBy1atEBERAQ8PDxU0/Xq1QseHh74+uuvy/RRWFiIwsJ/L1+fnZ0Ne3t7BiAiqtdi0/MQFpGAsIh43H/wSNVuY6SNgZ62GORli5YWBiJWSFS3GswYoPT0dCgUClhaWqq1W1paIjk5+bnzX7hwAdeuXcNbb72laiudrzJ9BgcHw8jISPWwt7ev7KoQEdU5JzM9zH65NU689wK2vu2LEZ3tYaCtgcSsAqw+dht+K05gwHensP50rNo9yogIaNAXmPjpp5/g5uaGzp07V6uf+fPnY/bs2aq/S/cAERE1BBKJBJ0cTdHJ0RRBAe1w+GYqwiLicexWGq7EZ+FKfBY+3XMTvVqbY5CXHV5qawFtTY4XoqZN1ABkZmYGmUyGlJQUtfaUlBRYWVk9c968vDxs2rQJS5cuVWsvnS8lJQXW1tZqfT55SOxJcrkccrm8CmtARFS/aGvK8EoHa7zSwRoZuYX4MzIRoREJuBKfhcNRqTgclQoDbQ284maNQV526OhgwvFC1CSJeghMS0sL3t7eOHz4sKpNqVTi8OHD8PX1fea8W7duRWFhIUaNGqXW7uTkBCsrK7U+s7Ozcf78+ef2SUTUmDTTl2NsNyfsmtYdh2b3xJTeLWBjpI2cghJsungfQ9eeRc8vjmLFX7cQm573/A6JGhHRzwLbvHkzxowZg7Vr16Jz585YuXIltmzZgqioKFhaWmL06NGwtbVFcHCw2nw9evSAra0tNm3aVKbP5cuXY9myZWqnwV+5coWnwRNRk6dUCjgXm4Gw8ATsu5aM3MIS1XOezY0xyNMWr3awgYmelohVElVNZX6/RR8DNGzYMKSlpWHRokVITk6Gh4cH9u/frxrEHBcXB6lUfUfVrVu3cOrUKfz111/l9vn+++8jLy8PkyZNQmZmJrp37479+/dXKPwQETVmUqkEXVuYoWsLMyx9rT3+upGMsIgEnPgnDRFxmYiIy8TS3TfwgosFBnnZ4YU25pBrcLwQNT6i7wGqj7gHiIiamtScAuy6nIjQ8ATcSMpWtRvpaCLA3RqBnnbwam4MiYTjhaj+ajDXAaqvGICIqCmLSs5GWHgCdlxOQEr2v6fPOzbTRaCnHQI9bdG8ma6IFRKVjwGomhiAiIgAhVLAmdvpqvFCj4oVquc6OZog0NMOr3SwhpGOpohVEv2LAaiaGICIiNTlFZbgwPVkhIYn4PTtdJT+cmhpSOHX1gKDPO3Qy8UcmrJ6cY9taqIYgKqJAYiI6OmSsh5h5+VEhIbH45+UXFW7qZ4WBrjbINDTFh3sjDheiOocA1A1MQARET2fIAi4npiNsIgE7LycqHa7jRbmehjkZYeBnrawNdYRsUpqShiAqokBiIiockoUSpyMeTxe6MD1ZBSWKFXPdXE2xSAvO/RrbwUDbY4XotrDAFRNDEBERFWXU1CMfdeSERoej3N3HqjatTWl6ONqhUAvW/RoaQYNjheiGsYAVE0MQERENSP+Yb5qvNDttH9vt2GmL8drHjYY5GULV2tDjheiGsEAVE0MQERENUsQBFyJz0JYRAJ2RSbiQV6R6jkXSwMM8rLFax62sDLiFfup6hiAqokBiIio9hQrlDh+Kw2hEfE4dCMVRYrH44UkEqB7SzMEetrCv50V9OSi362JGhgGoGpiACIiqhtZ+cXYczUJYRHxuHj3oapdV0uGvu0ejxfq2sIMMikPkdHzMQBVEwMQEVHdi8vIR1hEAsIi4nE3I1/Vbmkox0APWwzysoOLlYGIFVJ9xwBUTQxARETiEQQB4XGZCIuIx5+RSch6VKx6ztXaEIO8bDHAwwYWBhwvROoYgKqJAYiIqH4oLFHgaFQaQsPjcfRWKooVj3+yZFIJerR6PF6oj6sVdLRkIldK9QEDUDUxABER1T8P84qw+0oiQiMSEBGXqWrXl2ugX3srDPKyg4+TKaQcL9RkMQBVEwMQEVH9dictFzsiEhAakYD4h49U7bbGOhjoaYNATzu0tNAXsUISAwNQNTEAERE1DEqlgL/vPURoeDz2XE1CTkGJ6jl3OyMEetoiwN0GzfTlIlZJdYUBqJoYgIiIGp6CYgUO3UxBWHgCjv2TBoXy8c+bhlSC3i7mCPS0w0ttLaCtyfFCjRUDUDUxABERNWzpuYX4MzIRYREJuBKfpWo30NbAqx2sMcjLDh0dTHgLjkaGAaiaGICIiBqPmNQchIYnYEdEAhKzClTt9qY6CPS0wyBPWzia6YlYIdUUBqBqYgAiImp8lEoB52IzEBqegH1Xk5BXpFA959XcGIFedgjoYA1jXS0Rq6TqYACqJgYgIqLG7VGRAn/dSEZoeAJORqfh/4cLQVMmwYttLDDIyw4vuFhAS0MqbqFUKQxA1cQARETUdKRmF2BXZCK2hyfgZlK2qt1YVxMBHWwQ6GULT3tjjhdqABiAqokBiIioabqZlI2wiMfjhVJzClXtTmZ6CPS0RaCnLexNdUWskJ6FAaiaGICIiJo2hVLA6Zh0hEUkYP+1ZDwq/ne8UGdHUwzyskU/N2sY6WiKWCX9FwNQNTEAERFRqbzCEuy/loywiAScvp2O0l9NLQ0pXna1xCBPW/RsbQ5NGccLiY0BqJoYgIiIqDxJWY+w83IiQsPj8U9Krqq9mZ4WAtxtMMjLFm62RhwvJBIGoGpiACIiomcRBAHXE7MRGp6AXZEJSM8tUj3X0kIfgZ62GOhpC1tjHRGrbHoYgKqJAYiIiCqqRKHEyeh0hEYk4K/rySgsUQIAJBKgi1Mz1XghfbmGyJU2fgxA1cQAREREVZFdUIz9V5MRGhGPc3ceqNq1NaXwb2eFQE9bdG9pBg2OF6oVDEDVxABERETVFf8wHzsvJ2J7eDzupOWp2s0N5HjN3QaDvOzgasPfmJrEAFRNDEBERFRTBEHAlfgshIbHY1dkIh7mF6uea2NloBovZGmoLWKVjQMDUDUxABERUW0oKlHi+D9pCIuIx6EbqShSPB4vJJUA3VqaYZCXLfzbWUFXi+OFqoIBqJoYgIiIqLZl5Rdjz9UkhEXE4+Ldh6p2XS0Z+ra3wiBPO/i2aAaZlKfUVxQDUDUxABERUV2Ky8hHWEQCQiPicS8jX9VuZaiN1zxtMNjLDq0tDUSssGFgAKomBiAiIhKDIAgIj8tEaHg8dl9JQtajf8cLtbMxxCAvOwxwt4G5gVzEKusvBqBqYgAiIiKxFZYocDQqFaHhCTh6KxXFisc/1zKpBD1amWGQlx36uFpCW1MmcqX1BwNQNTEAERFRffIwrwi7ryRie3gCLt/PVLXryzXQ380KgZ528HEyhbSJjxdiAKomBiAiIqqv7qTlIiwiAWERCYh/+EjVbmusg4GeNgj0tENLC30RKxQPA1A1MQAREVF9p1QKuHj3AcIiErDnShJyCktUz7nbGWGQlx0C3G1gqqclYpV1iwGomhiAiIioISkoVuDQzRSEhifg+D9pUCgf/7RrSCXo7WKBQV62eLGNRaMfL8QAVE0MQERE1FCl5xbiz8hEhIYn4GpClqrdUFsDr3SwwWAvW3g7mEAiaXzjhRiAqokBiIiIGoPolByERiRgR0QCkrIKVO3NTXUR6GmLQV62cGimJ2KFNYsBqJoYgIiIqDFRKgWcu5OB0IgE7LuahLwiheo5bwcTBHra4tUO1jDWbdjjhRiAqokBiIiIGqv8ohIcvJGC7eEJOBWdhv8fLgQtmRQvtrFAoJctXnCxgJaGVNxCq6Ayv9+ir92qVavg6OgIbW1t+Pj44MKFC8+cPjMzE1OnToW1tTXkcjlat26NvXv3qp5fvHgxJBKJ2qNNmza1vRpEREQNgq6WBl7zsMXP4zvj3PyX8FH/tmhrbYgihRL7rydj8i+X4PPZISzccQ0RcQ/RWPeTiHq72c2bN2P27NkICQmBj48PVq5cCX9/f9y6dQsWFhZlpi8qKsLLL78MCwsLbNu2Dba2trh37x6MjY3VpmvXrh0OHTqk+ltDg3fVJSIi+i8LQ21M7OmMiT2dcTMpG2H/P14oNacQv5y7h1/O3YOzmR4CPW0x0NMW9qa6YpdcY0Q9BObj44NOnTrhu+++AwAolUrY29tj+vTpmDdvXpnpQ0JC8MUXXyAqKgqamprl9rl48WLs2LEDly9frnJdPARGRERNlUIp4HRMOkLD43HgegoeFf87XqizkykGedqifwdrGGqX/zsspgZxCKyoqAiXLl2Cn5/fv8VIpfDz88PZs2fLnWfXrl3w9fXF1KlTYWlpifbt2+Ozzz6DQqFQmy46Oho2NjZwdnbGyJEjERcX98xaCgsLkZ2drfYgIiJqimRSCXq2NsfK4Z64uMAPXw1xR7eWzSCRABdiH2Be6FV0+uQQpv4ejiNRKShWKMUuuUpEOzaUnp4OhUIBS0tLtXZLS0tERUWVO8+dO3dw5MgRjBw5Env37kVMTAymTJmC4uJiBAUFAXi8V2nDhg1wcXFBUlISlixZgh49euDatWswMDAot9/g4GAsWbKkZleQiIiogdOXa2Cwtx0Ge9shKesRdkQkIjQ8HtGpudhzJQl7riShmZ4WBnjYYJCnHdrbGjaY6wuJdggsMTERtra2OHPmDHx9fVXt77//Po4fP47z58+Xmad169YoKChAbGwsZLLHV7NcsWIFvvjiCyQlJZW7nMzMTDg4OGDFihWYMGFCudMUFhaisLBQ9Xd2djbs7e15CIyIiOg/BEHA9cRshIYnYFdkAtJzi1TPtbLQR6CXLQZ62MLGWKfOa6vMITDR9gCZmZlBJpMhJSVFrT0lJQVWVlblzmNtbQ1NTU1V+AGAtm3bIjk5GUVFRdDSKnv9AmNjY7Ru3RoxMTFPrUUul0Mul1dxTYiIiJoOiUSC9rZGaG9rhPn92+BUdDq2h8fj4I0URKfm4vP9t/DFgVvwdW6GQV526NveCvry+ncykmhjgLS0tODt7Y3Dhw+r2pRKJQ4fPqy2R+hJ3bp1Q0xMDJTKf483/vPPP7C2ti43/ABAbm4ubt++DWtr65pdASIioiZOUybFC20s8N0bXri4wA/LB7vBx8kUggCcuZ2BuVsj0fGTg5ixKQLH/0lDST0aLyTqWWCbN2/GmDFjsHbtWnTu3BkrV67Eli1bEBUVBUtLS4wePRq2trYIDg4GANy/fx/t2rXDmDFjMH36dERHR2P8+PF499138dFHHwEA5s6di4CAADg4OCAxMRFBQUG4fPkybty4AXNz8wrVxbPAiIiIqu7+g3zsvJyA0PAE3EnPU7WbG8gx0MMGgZ52cLWp+d/XBnEIDACGDRuGtLQ0LFq0CMnJyfDw8MD+/ftVA6Pj4uIglf67k8re3h4HDhzArFmz0KFDB9ja2mLGjBn44IMPVNPEx8djxIgRyMjIgLm5Obp3745z585VOPwQERFR9dib6mLai60w9YWWiIzPQmh4PP6MTERaTiF+OBmLH07GYngneywb3EG0GnkrjHJwDxAREVHNKipR4vg/aQgNj8fhm6n4JLA9hna0r9FlNJg9QERERNQ0aGlI8bKrJV52tURWfrHo9xpjACIiIqI6ZaQr/lWkRb8ZKhEREVFdYwAiIiKiJocBiIiIiJocBiAiIiJqchiAiIiIqMlhACIiIqImhwGIiIiImhwGICIiImpyGICIiIioyWEAIiIioiaHAYiIiIiaHAYgIiIianIYgIiIiKjJ4d3gyyEIAgAgOztb5EqIiIiookp/t0t/x5+FAagcOTk5AAB7e3uRKyEiIqLKysnJgZGR0TOnkQgViUlNjFKpRGJiIgwMDCCRSGq07+zsbNjb2+P+/fswNDSstXlqsx6ihoLvb6L6pzY/l4IgICcnBzY2NpBKnz3Kh3uAyiGVSmFnZ1eryzA0NKz0C1+VeepD30Ri4/ubqP6prc/l8/b8lOIgaCIiImpyGICIiIioyWEAqmNyuRxBQUGQy+W1Ok996JtIbHx/E9U/9eVzyUHQRERE1ORwDxARERE1OQxARERE1OQwABEREVGTwwBERERETQ4DUB0IDg5Gp06dYGBgAAsLCwwcOBC3bt167nyLFy+GRCJRe7Rp06ZKNZw4cQIBAQGwsbGBRCLBjh071J4XBAGLFi2CtbU1dHR04Ofnh+jo6Coti6iuPe+zUlBQgKlTp6JZs2bQ19fH4MGDkZKSImLFRI1PTfzOPHjwACNHjoShoSGMjY0xYcIE5Obm1kq9DEB14Pjx45g6dSrOnTuHgwcPori4GH369EFeXt5z523Xrh2SkpJUj1OnTlWphry8PLi7u2PVqlXlPv/555/jm2++QUhICM6fPw89PT34+/ujoKCgSssjqmvP+qzMmjULf/75J7Zu3Yrjx48jMTERgwYNErFaosanJn5nRo4cievXr+PgwYPYvXs3Tpw4gUmTJtVOwQLVudTUVAGAcPz48WdOFxQUJLi7u9f48gEIYWFhqr+VSqVgZWUlfPHFF6q2zMxMQS6XC3/88UeNL5+opj3rs5KZmSloamoKW7duVbXdvHlTACCcPXu2jiokalqq8jtz48YNAYBw8eJF1TT79u0TJBKJkJCQUOM1cg+QCLKysgAApqamz502OjoaNjY2cHZ2xsiRIxEXF1fj9cTGxiI5ORl+fn6qNiMjI/j4+ODs2bM1vjyi2vC0z8qlS5dQXFys9v5u06YNmjdvzvc3UR2pyO/M2bNnYWxsjI4dO6qm8fPzg1Qqxfnz52u8JgagOqZUKjFz5kx069YN7du3f+a0Pj4+2LBhA/bv3481a9YgNjYWPXr0QE5OTo3WlJycDACwtLRUa7e0tFQ9R1SfPeuzkpycDC0tLRgbG6vNw/c3Ud2pyO9McnIyLCws1J7X0NCAqalprXxWeTf4OjZ16lRcu3atQmN5+vXrp/r/Dh06wMfHBw4ODtiyZQsmTJhQm2USNSjP+qzo6OiIWBkR1VfcA1SHpk2bht27d+Po0aOws7Or9PzGxsZo3bo1YmJiarQuKysrAChzVkxKSorqOaKG5MnPipWVFYqKipCZmak2Dd/fRHWnIr8zVlZWSE1NVXu+pKQEDx48qJXPKgNQHRAEAdOmTUNYWBiOHDkCJyenKvWTm5uL27dvw9raukbrc3JygpWVFQ4fPqxqy87Oxvnz5+Hr61ujyyKqC09+Vry9vaGpqan2/r516xbi4uL4/iaqIxX5nfH19UVmZiYuXbqkmubIkSNQKpXw8fGp8Zp4CKwOTJ06Fb///jt27twJAwMD1bFMIyOjZ+6enzt3LgICAuDg4IDExEQEBQVBJpNhxIgRla4hNzdXbc9RbGwsLl++DFNTUzRv3hwzZ87EJ598glatWsHJyQkLFy6EjY0NBg4cWOllEdW1Z31WjIyMMGHCBMyePRumpqYwNDTE9OnT4evriy5duohdOlGjUd3fmbZt26Jv376YOHEiQkJCUFxcjGnTpmH48OGwsbGp+YJr/LwyKgNAuY/169c/c75hw4YJ1tbWgpaWlmBraysMGzZMiImJqVINR48eLbeGMWPGCILw+BTFhQsXCpaWloJcLhdeeukl4datW1VaFlFde95n5dGjR8KUKVMEExMTQVdXVwgMDBSSkpJErJio8amJ35mMjAxhxIgRgr6+vmBoaCiMGzdOyMnJqZV6JYIgCDUfq4iIiIjqL44BIiIioiaHAYiIiIiaHAYgIiIianIYgIiIiKjJYQAiIiKiJocBiIiIiJocBiAiIiJqchiAiKhO3L17FxKJBJcvXxa7FJWoqCh06dIF2tra8PDwKHcaQRAwadIkmJqa1rv6iajqGICImoixY8dCIpFg2bJlau07duyARCIRqSpxBQUFQU9PD7du3VK7R9GT9u/fjw0bNmD37t1ISkpC+/bta2TZY8eO5a1miETEAETUhGhra2P58uV4+PCh2KXUmKKioirPe/v2bXTv3h0ODg5o1qzZU6extrZG165dYWVlBQ2N+nULRYVCAaVSKXYZRA0OAxBRE+Ln5wcrKysEBwc/dZrFixeXORy0cuVKODo6qv4u3Xvx2WefwdLSEsbGxli6dClKSkrw3nvvwdTUFHZ2dli/fn2Z/qOiotC1a1doa2ujffv2OH78uNrz165dQ79+/aCvrw9LS0u8+eabSE9PVz3fu3dvTJs2DTNnzoSZmRn8/f3LXQ+lUomlS5fCzs4OcrkcHh4e2L9/v+p5iUSCS5cuYenSpZBIJFi8eHGZPsaOHYvp06cjLi4OEolEtQ2USiWCg4Ph5OQEHR0duLu7Y9u2bar5FAoFJkyYoHrexcUFX3/9tdo23rhxI3bu3AmJRAKJRIJjx47h2LFjkEgkyMzMVE17+fJlSCQS3L17FwCwYcMGGBsbY9euXXB1dYVcLkdcXBwKCwsxd+5c2NraQk9PDz4+Pjh27Jiqn3v37iEgIAAmJibQ09NDu3btsHfv3nK3HVFTwABE1ITIZDJ89tln+PbbbxEfH1+tvo4cOYLExEScOHECK1asQFBQEF599VWYmJjg/PnzePvttzF58uQyy3nvvfcwZ84cREREwNfXFwEBAcjIyAAAZGZm4sUXX4Snpyf+/vtv7N+/HykpKRg6dKhaHxs3boSWlhZOnz6NkJCQcuv7+uuv8dVXX+HLL7/ElStX4O/vjwEDBiA6OhoAkJSUhHbt2mHOnDlISkrC3Llzy+2jNEQlJSXh4sWLAIDg4GD8/PPPCAkJwfXr1zFr1iyMGjVKFeaUSiXs7OywdetW3LhxA4sWLcKHH36ILVu2AHh89/qhQ4eib9++SEpKQlJSErp27VrhbZ+fn4/ly5fjxx9/xPXr12FhYYFp06bh7Nmz2LRpE65cuYIhQ4agb9++qvWdOnUqCgsLceLECVy9ehXLly+Hvr5+hZdJ1OjUyi1WiajeGTNmjPDaa68JgiAIXbp0EcaPHy8IgiCEhYUJT34VBAUFCe7u7mrz/u9//xMcHBzU+nJwcBAUCoWqzcXFRejRo4fq75KSEkFPT0/4448/BEEQhNjYWAGAsGzZMtU0xcXFgp2dnbB8+XJBEATh448/Fvr06aO27Pv37wsAVHeN7tWrl+Dp6fnc9bWxsRE+/fRTtbZOnToJU6ZMUf3t7u4uBAUFPbOf/657QUGBoKurK5w5c0ZtugkTJggjRox4aj9Tp04VBg8erPr7ydejVOndtB8+fKhqi4iIEAAIsbGxgiAIwvr16wUAwuXLl1XT3Lt3T5DJZEJCQoJafy+99JIwf/58QRAEwc3NTVi8ePEz15WoKalfB7OJqE4sX74cL774Yrl7PSqqXbt2kEr/3YlsaWmpNkBYJpOhWbNmSE1NVZvP19dX9f8aGhro2LEjbt68CQCIjIzE0aNHy90zcfv2bbRu3RoA4O3t/czasrOzkZiYiG7duqm1d+vWDZGRkRVcw/LFxMQgPz8fL7/8slp7UVERPD09VX+vWrUK69atQ1xcHB49eoSioqKnnmlWWVpaWujQoYPq76tXr0KhUKi2T6nCwkLV2KZ3330X77zzDv766y/4+flh8ODBan0QNTUMQERNUM+ePeHv74/58+dj7Nixas9JpVIIgqDWVlxcXKYPTU1Ntb8lEkm5bZUZoJubm4uAgAAsX768zHPW1taq/9fT06twnzUtNzcXALBnzx7Y2tqqPSeXywEAmzZtwty5c/HVV1/B19cXBgYG+OKLL3D+/Pln9l0aKJ/c/uVtex0dHbUz93JzcyGTyXDp0iXIZDK1aUvD5FtvvQV/f3/s2bMHf/31F4KDg/HVV19h+vTpFV11okaFAYioiVq2bBk8PDzg4uKi1m5ubo7k5GQIgqD6ka3Ja9+cO3cOPXv2BACUlJTg0qVLmDZtGgDAy8sL27dvh6OjY7XOtjI0NISNjQ1Onz6NXr16qdpPnz6Nzp07V6v+JwceP9n3k06fPo2uXbtiypQpqrbbt2+rTaOlpQWFQqHWZm5uDuDx+CQTExMAFdv2np6eUCgUSE1NRY8ePZ46nb29Pd5++228/fbbmD9/Pn744QcGIGqyOAiaqIlyc3PDyJEj8c0336i19+7dG2lpafj8889x+/ZtrFq1Cvv27aux5a5atQphYWGIiorC1KlT8fDhQ4wfPx7A44G6Dx48wIgRI3Dx4kXcvn0bBw4cwLhx48qEhed57733sHz5cmzevBm3bt3CvHnzcPnyZcyYMaNa9RsYGGDu3LmYNWsWNm7ciNu3byM8PBzffvstNm7cCABo1aoV/v77bxw4cAD//PMPFi5cqBpAXcrR0RFXrlzBrVu3kJ6ejuLiYrRs2RL29vZYvHgxoqOjsWfPHnz11VfPral169YYOXIkRo8ejdDQUMTGxuLChQsIDg7Gnj17AAAzZ87EgQMHEBsbi/DwcBw9ehRt27at1rYgasgYgIiasKVLl5Y5RNW2bVusXr0aq1atgru7Oy5cuFCtsUL/tWzZMixbtgzu7u44deoUdu3aBTMzMwBQ7bVRKBTo06cP3NzcMHPmTBgbG6uNN6qId999F7Nnz8acOXPg5uaG/fv3Y9euXWjVqlW11+Hjjz/GwoULERwcjLZt26Jv377Ys2cPnJycAACTJ0/GoEGDMGzYMPj4+CAjI0NtbxAATJw4ES4uLujYsSPMzc1x+vRpaGpq4o8//kBUVBQ6dOiA5cuX45NPPqlQTevXr8fo0aMxZ84cuLi4YODAgbh48SKaN28O4PGp+VOnTlXV27p1a6xevbra24KooZII/z3YT0RERNTIcQ8QERERNTkMQERERNTkMAARERFRk8MARERERE0OAxARERE1OQxARERE1OQwABEREVGTwwBERERETQ4DEBERETU5DEBERETU5DAAERERUZPDAERERERNzv8B6QH2lWJcBX0AAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_samples = 1000\n",
"n_classes = 2\n",
"\n",
"# Define an empty list to store the accuracy scores\n",
"scores = []\n",
"n_dimensions = [2, 5, 10, 50, 100]# , 200]#, 1000]\n",
"\n",
"for d in n_dimensions:\n",
" X, y = make_classification(\n",
" n_samples=n_samples,\n",
" n_features=d,\n",
" n_classes = n_classes,\n",
" n_redundant=0,\n",
" n_informative=2,\n",
" random_state=1,\n",
" n_clusters_per_class=1,\n",
" )\n",
"\n",
" # Split the data into train and test sets\n",
" X_train, X_test, y_train, y_test = train_test_split(\n",
" X, y, test_size=0.2, random_state=42\n",
" )\n",
"\n",
" # Train a k-nearest neighbor classifier with k=5\n",
" clf = KNeighborsClassifier(n_neighbors=5)\n",
" clf.fit(X_train, y_train)\n",
"\n",
" # Predict the test labels\n",
" y_pred = clf.predict(X_test)\n",
"\n",
" # Compute the accuracy score\n",
" score = accuracy_score(y_test, y_pred)\n",
" scores.append(score)\n",
" if d == 2:\n",
" # Plot init seeds along side sample data\n",
" plt.figure(1)\n",
" colors = [\"#4EACC5\", \"#FF9C34\", \"#4E9A06\", \"m\"]\n",
"\n",
" for k in range(n_classes):\n",
" cluster_data = y == k\n",
" plt.scatter(X[cluster_data, 0], X[cluster_data, 1], c=colors[k], marker=\".\", s=10)\n",
" plt.legend() \n",
" plt.title(\"KMeans Clustering (2D) with True Labels\") \n",
" plt.xlabel(\"Feature 1\") \n",
" plt.ylabel(\"Feature 2\") \n",
" plt.show()\n",
"\n",
"# Plot the accuracy scores versus the number of features\n",
"plt.plot(n_dimensions, scores)\n",
"plt.xlabel(\"Number of features\")\n",
"plt.ylabel(\"Accuracy score\")\n",
"plt.title(\"Performance of k-NN with Increasing Feature Dimensions\")\n",
"plt.xticks(n_dimensions)\n",
"# plt.xscale(\"log\")\n",
"plt.show()"
]
}
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