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@kunalb
Created May 9, 2021 14:29
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BRML Terrorist Scanner Exercise
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{
"cells": [
{
"cell_type": "markdown",
"id": "tribal-steam",
"metadata": {},
"source": [
"# Terrorist Scanner Validation"
]
},
{
"cell_type": "markdown",
"id": "frequent-assistant",
"metadata": {},
"source": [
"Parameter definition, assuming 1 terrorist\n",
"\n",
"a = Probability that terrorist triggers the scanner = .95\n",
"\n",
"b = Probability that a citizen doesn't trigger the scanner = .95\n",
"\n",
"k = Number of people in the flight"
]
},
{
"cell_type": "code",
"execution_count": 53,
"id": "synthetic-brazil",
"metadata": {},
"outputs": [],
"source": [
"import random\n",
"import numpy as np\n",
"\n",
"from matplotlib import pyplot as plt\n",
"plt.style.use('Solarize_Light2')"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "pleased-junction",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"False"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def disembark(a, b, k):\n",
" passengers = [0] * (k - 1) + [1]\n",
" random.shuffle(passengers)\n",
" scanned_positive = []\n",
" \n",
" for (i, x) in enumerate(passengers):\n",
" if x == 1:\n",
" scan_prob = a\n",
" else:\n",
" scan_prob = 1 - b\n",
" \n",
" if random.random() < scan_prob:\n",
" return x == 1\n",
" \n",
" return None\n",
" \n",
"disembark(.95, .05, 100)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "engaged-fancy",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.1874224782939223"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def estimate(iters, a, b, k):\n",
" terrorists = 0\n",
" counter = 0\n",
" for _ in range(iters):\n",
" result = disembark(a, b, k)\n",
" if result is not None: # Someone scanned positive\n",
" counter += 1\n",
" if result:\n",
" terrorists += 1\n",
" \n",
" return terrorists / counter\n",
"\n",
"estimate(100000, .95, .95, 100)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "deluxe-trigger",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.18893397255893893"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def evaluate(a, b, k):\n",
" \"\"\"Based on a closed form solution\"\"\"\n",
" return (a / k) * (1 - b ** k) / (1 - b) / (1 - (1 - a) * (b ** (k - 1)))\n",
"\n",
"evaluate(.95, .95, 100)"
]
},
{
"cell_type": "markdown",
"id": "productive-section",
"metadata": {},
"source": [
"## Dependence on parameters"
]
},
{
"cell_type": "code",
"execution_count": 103,
"id": "explicit-allowance",
"metadata": {},
"outputs": [],
"source": [
"def show_variation(title, derived_data, estimate_data):\n",
" fig, ax1 = plt.subplots() \n",
" fig.set_size_inches(15, 5)\n",
" \n",
" ax1.plot(derived_data[0], derived_data[1], label=\"Derived\")\n",
" ax1.plot(estimate_data[0], estimate_data[1], label=\"Simulated\", marker=\"o\", linestyle=\"None\")\n",
" ax1.legend()\n",
" \n",
" ax2 = ax1.twinx()\n",
" ax2.plot(estimate_data[0], estimate_data[2], label=\"Abs(Error %)\", marker=\".\", linestyle=\"None\", color=\"red\")\n",
" ax2.legend()\n",
" \n",
" plt.title(title)\n",
" plt.show()\n",
" \n",
" \n",
"def abs_err(derived, simulated):\n",
" return abs(derived - simulated) * 100 / derived"
]
},
{
"cell_type": "code",
"execution_count": 104,
"id": "generous-pilot",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p_range = np.arange(0.01, 1, .01)\n",
"derived = [evaluate(x, .95, 100) for x in p_range]\n",
"\n",
"e_range = np.arange(0.01, 1, .1)\n",
"estimates = [estimate(100000, x, .95, 100) for x in e_range]\n",
"errors = [abs_err(evaluate(i, .95, 100), x) for (i, x) in zip(e_range, estimates)]\n",
"\n",
"show_variation(\n",
" \"P(first person caught by scanner is a terrorist) vs P(scanner catches as a terrorist correctly)\",\n",
" (p_range, derived), \n",
" (e_range, estimates, errors),\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 105,
"id": "passive-folder",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p_range = np.arange(0.01, 1, .01)\n",
"derived = [evaluate(.95, x, 100) for x in p_range]\n",
"\n",
"e_range = np.arange(0.01, 1, .1)\n",
"estimates = [estimate(100000, .95, x, 100) for x in e_range]\n",
"errors = [abs_err(evaluate(.95, i, 100), x) for (i, x) in zip(e_range, estimates)]\n",
"\n",
"show_variation(\n",
" \"P(first person caught by scanner is a terrorist) vs P(scanner doesn't trigger for a citizen)\",\n",
" (p_range, derived), \n",
" (e_range, estimates, errors),\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 111,
"id": "forbidden-henry",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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btWpR5t9El8SO7i+CjhUQAS46fzKPPvkCaWnphIfbAdf7UnJyKhed71o8avGS5URE2Pnff6e69xs5fHC57Qd45YXHOefCa7jjnke5455HiY6OZPhpA5ly8Tnl7t86viWt41u6rz/z3GssWvwXX3zyuvswhTvueZTmcU356cfPCCj8smjUiMEk9hzOI088z9fT3j5m/fc/+F/iWzXnh28+cE+V7ntqD9onDubZF97gmScfoFvXTjRt0hio3OEQ/338Pvdlp9PJsKED2Lh5K6+9+aE7IH467Vt+/2Mpv8z5gkED+gAwbOgAAB567Dluv/VaGjZs4K6nV8+uHn8H/6xZz2fTvuX+u2/hgXtdM3NGDh+Mn5+V+x96mjv+c12xv7OK3//K0q5ta4/3e4fDQf++vWjZ9lR+nP2LRx8EuOXGq91hcPhpA/nlt4V89sW37m0vvPw2O3buZuXSue739+GnDSQ11XUM7b+uuliHYkidpSmmUi907DqEQHsrGjTtzPU338MF503i7WLHluzZu5+YBid+HEnxD6bg+qDn7+/P+Zdcx5dff++e0nqizpw4xuPb+/59e9GsaSx/LnaNbsz9eQFOp5MLzptIQUGB++fUXt0ICwstNZVp1IghpT5A9+zehfc/+oLHn3qRZX+txOFweNy+YOFiLBYLF5w70WP7hedPJi8vj0WLPUdaxow+zeN6p1Pak5uby/79B4/5OH+a9ztOp5OrLr+w3Ofjp3kLGDb6HGKadSYgrCWB9lZs3LTVY9pVZS1esgKr1cqkEq/lmZPGllk+oU0r94cHgIYNG9AwpgE7k/ZU+b497q+C19hisXD1FRfx+Zcz3KMh38yczf4DB7n6ivKfr4pe27k/z8cwDK687Pxy65n21Uz6DhpHVOwpBIS1JKxBW44cyWTDxq2lypZ8/Tt3al/mc3T6qNL9BGDnrj2FbTvxvl0ZCW1aERERzr9vuJOPPp1O0q7Kv55VeV4qY/acXwkICOCsSWM9HvPIYYMASj3mCeNGlfmli7+/P2eMGe6xbcHvi+nTu7tHILVarZx39gT+XrWG9PQMj/Il3+PKUlH/qoi/vz/h4WHs2bu/3HIXnj+Z3Nw8vph+dOXpjz6dTru2rd1fmvTs0YWUlDT3CGxlp7W3TYjnr0Wz+GXOF9x9+w10TTyFb2bM5vTxF/HoE89Xqo6Z38/lznsf54lH7nI/b9nZ2fy24E/OmjQWi8Xifi1N02TY0AHlTjPNzMxi+d//cM6Z4zyCSauWzenftyfzF1RuimpJfy1fxbjJU4ht2c39/vnTzwvYuOlof50991daNG9Gvz49PfrgiGGDyM/PLzWlv2Q/WfC7q20Xnu85s+HCwiA///c/PbZX9P53LK++8QHdTh2JPaYdAWEtadn2VACPx1Jk7GjPLxpP6diOpGLvSbPn/sapvbrSqmWc59/diMEcPpzC2nWbym2LSG2mgCj1wlefvcniBd+x9u9fyTi0gfffes5jlcCcnFwCAyue9leRkivZtWndih9nfITT6eTSK26iSavu9Bs8nt8WlD6OrSoaFfumtvi23Xv2AXDwoCuItu00kEB7K4+fjIwjHE5OLbfdAC88+zBXX3ER737wOacOPIPGLbpy6+1TycpyHReUnJxKVFSE+xvwIkXH7SSneN5HVGSEx/Wi5zsnN/eYj7PomLKi6XZlWb5iNWdMuhSbzcabr/yXP36dweIF39Glc0dyy6n7WPbu209kZHipaUxlPedQ+nGB67Hl5OaULlwFFb3GAJdfeh4Oh5OPPpkOwBtvfUTvnl1LjYaXVNFre/hwClFREeUGq5nfz+X8i6+lffs2fPTuiyz6zfW8x8REl/nYo6IiPK4HBgSU+fpEluonrumRRdPUqqNvV0Z4uJ2ff/yc2NhGXH/zPbRseyqJPYfx1Tc/lLtfVZ+Xyjhw8DB5eXmENWjr8Xgbt+gKuF6v4o41jTWmQZTH9FsoPNaujPKNGsVgmiYpJQJVZZ7PivpXZQQHBZGdXf7z1aJ5MwYNOJWPP/0KcJ0+44dZ89yjhwCDB/bl849fY9euPZx53lU0au46HnLV6nUVtsFqtTJoQB8enno7c77/lM1rfqdzp/Y89NhzpJR4fytp5aq1XHTZDVx+6Xn85+Z/ubcnJ6ficDh45InnS/Xfl197j5SUtFLHwRVJSUnDNM0yX4NGjWJKvedWRtKuPYwYez4pKak8/8xD/P7LNyxe8B2jRgxx/82Bqw/u2LmrVJv7DHLNsjhc4vjfkm0saltsY88p3u7/FyX+bivz/lfSS6++y/U338OwoQNcU9nnz+SPX2cAeDyWIqXekwIDSjzmQ8z/fXGpx3zuha7Xs+RjFqlLNDYu9UKnU9p5fENeUnRUBCkplftmuTxlfWs/dHA/hg7uR25uLgsXLWPqw88wbvIUtq5b5DEFsyr2lzESuf/AIbokuqaZFYXfWTM/JjIivFTZ6GjPJc/LandoqI3HHrqTxx66kx07d/HV199z131PEBAQwBOP3E1UVATJyank5eV5hMR9hSOCZQWnqoqOdj0/u/fso13b1mWWmf7ND/j5Wfnqszc8Ql1KahoREXb39aLjsPLy8j32L/3BphEpKWnk5+d71FfWc34yVfQag+t1PPvMM3jjnY8YOWIwv/z2B2+88lSFdVf02jZoEEVycirZ2dnHDImffzmDNq1b8u4bR48hzc/PL/VBr7pVR9+urK5dXMfLFRQUsGz5Kp7470ucd9G/WbF4tntks6ST8bxER0cSFBTIb3O/KvP2ksdVHusxl7U9KjKC/fsPlNq+f/9BDMMo9RxX5vmsqH9VRnJKaqXeHy88/0yuue52duzcxey5v5GXl+celSpy1qSxnDVpLEeOZPLr/EXcdd/jjJlwETs3L63SCp9NmjTmiinnc/NtD7Bp8zaPY3+L27fvABPOuoxTe3fn5ec9TwESERGOxWLh2msu5eILzixz/2O1KTIyHMMw3O+xxe3ff/C43nNnzfmVtLR0PvvwVZo1O/pFXMkFgqKjImjVsjmfffhKmfWUPASjZD8patu+/Qc8puC6/1+UCGuVef8r6fMvZjBs6ACP4yGLjvc/HtFRkTSMaeAxPbm4Y/1PEqkLNIIoArRv1+aE/pFURmBgIKcN6c9tt/yLzMws9/0FBgSSnVO1kYWvvvnB41vmhYuWsmv3Xvqc2gOAEcMGYrFY2Jm0h549upT6adWyeZXur0XzZtx60zV0PqU9/6zZAMCgAX1wOp0e07sAPvnsawICAuhb2JYTMfy0AVgsFt5859irxmVlZ2O1Wj0+kMz7dWGp4wVbNG8G4G4/uBZemPvzfI9yp/buhsPh4OsZszy2f1nicVbFyXiNi/z76kv4Z80Grr72/wgPt3Pe2ROqdD9lvbYjhg3CNE3efu+zY+6XlZVd6vibDz/5qsrTCauquvt2Zfj5+dGnd3ceuv//cDqd7tPflOVEnpeiUfWSI2dFozlp6RllPuYmhcebHY9BA/vw55IVHitEOhwOpn01k25dOrmPnT5eZfWvokWaco7xN7Fv3wFycnIrtTDM2ZPHEhgYwCeffc3Hn37FwP693X/rJYWG2jhjzHCuvuJC9u47UGrktbi9x5jeWrQa7bFGaXNycph87pWEhtr44uPXSvUFmy2Egf17s2r1Wrp361zm63ksNlsIPbp15suvv/foTzt27uKPP/9i8KA+x9z3WIqCoL//0XZu3LSVhYuWeZQbNWIISbv2EBpqK7PNFYX5gQNcUz0//2KGx/ZPPvsagMEDPdte2fe/4sr623vvg2Ov3lqRUSOGsH7jZprHNS3zMZd3nLdIbacRRBFcq+Y9//LbOJ3Oaj1n1GtvfsiChYs5fdRpxDWL5dDhFJ7870s0iW1Ep1PaAdCxQwJvvpPKq298QM/uiQQFBVa48mZGxhEmnXMFV19xEQcPHeae+58koU0rLrnQ9Y106/iW3H7rv7nx1nvZuGkLgwb0ISgokKRde/hp3gKumHI+Qwf3K/c++g+ZwLixI+h0SntCQ23MX/AnK1ev5ZKLXItknD5qKAP69eLaG+/i0KHDdOzQlh9nz+Pt9z7lztuuO+7R0eJax7fk5huu5H8vvElGRibjxo7AarWydNnftGvXmnPPGs+oEUN4/qW3uezqW5ly8Tls3LSVR5943r1IQ5FePbrQOr4Fd9zzCE7TSWBAAK++8QG5uXke5UYOH0z/vr341/V3cvhQMq1bt+Srr39g1eq1AFgsVR+ROhmvcZE+vbvTrUsn5v++mOv/fZl74aXyVPTaDh3cj8kTx/CfOx4iadcehg7uR35+AQsWLmbM6GEMGdSXUSOG8O3M2dx6+1TGnj6cv5av4qVX3yWijFG96lQdfbsyvvvhJ95852MmjBtFq5bNyczM4sVX3yEsLJS+vY/9IfVEnpeO7V3nE3zl9Q+45KKz8PfzI7FzB4YM6st550zgnAv/xS03XEmvnl2xWCxs37GLH2fP44lH7j7uk8rffP2VvP/RF4w64wIeuPdW7GFhvPrGB2zctJWZ0987rjor6l+NGsUQHR3J51/MoHOn9thCQmjVsrl79Hfx0hUADCoMFeWx28MYf8ZIXnn9ffbuO8DrL3uOoD/w0NPsP3CIIYP70iS2Ebt27+XFV96ha+Ip5Z6/MLHXcIYNHcDpo06jVcs40tOP8OPsebz+1kecfeYZNI9rWuZ+t/zfgyz/+x/eeeOZUl8kdGyfgN0extNP3M+QkWcxevxFXH7pucQ2bsihwymsWLEah9PJ4w/fdcx2PXj/bYybPIVxk6fw76sv4UhmJg8+8izh4WHceuPVFT5fJQ0bOgA/Pz8uvepmbr3xavbuO8CDjzxL87imHgHtwvMm8f6H0xgx5jxuvelqEjt3JC8vn61bdzDjhzl8/fnb5b73dDqlPeedM4EHH/0fBQUO+vbpwZ+Ll/PIE89z3jkTSr0fVvb9r7hRI4fw1DOv8PhTL9KrZ1d++XVhhVPCy3PzDVcy7auZDB5xJjddfyXt2rYmMzOLDRs3s2DhEveq1CJ1kQKiCHDOWeN46LH/sWDhYgYPrPgcdZXVJbEjs+b8wj33P8GBg4eJioygf79efPjui+6pe1dMOZ8/lyzn3qlPkZqaRovmzdi6vvxjFO+87To2b93O5dfcSmZmFkMG9ePF/z3sMSXy0YfupH37BF59/X1eef19DMMgrlkTThvSn4RyptsWGTjgVL746juefOYVCgoKiG/VnGefesC9qqXFYmHm9Pe554EneeqZVzmcnELLFs145sn7uen6K0/gWfP038fvo3V8S1578wM++PhLbLZgEjt1YMRw1wIdo0YM4flnHuJ/L7zJ9G9+oFPHdrz31nM89uQLHvX4+fnx9bS3ueGWe7n86luJiozgpuuv4NRe3XjoMc9TbXz12Zvc+J/7uPO+x7FarYwbO4IH77+Ny6++lXC7nao6Wa9xkbMmj2XFyn8qXJymSEWvLcCnH7zMU8+8wgcff8nzL71NeHgYPbt34YoproVrrrr8Anbt2sO7H3zOG29/TK8eXfj2y3c587yyV+msTifatysjoU0rgoODePSJF9i77wBhYTZ6du/C7JmfeEzFK+lEnpcuiR154J5befOdj3nr3U9wOp1sWfcHLVvE8eE7L/DSq+/y7gef89hTLxEYGEDLFs0YOXzwMY+PrYwmTRoz/6fp3HnvY1x30z3k5ubRNbEjM6e/517Bsqoq897xxstPce/Upxg59gIKCgo8VkP+/sef6dGtc7mHBRR30flnMu3LmQQFBXLWpDEet/Xu1Y0XX32H/9w+l+SUVBrGRDNi2CAeuv+2cut8+IHb+XH2PKY+/Az7DxzCarXQtk08jz98Fzddf+xVXDds3Ex+fj4XX3Zjqdt+njWNIYP60r1bZxYv+I6HHvsfN9/2AGlpGcQ0iKJb106lTpFR0uiRQ5k5/T0efuw5zrv43wQEBDB4YB+efPSe4xpJPqVjOz589wWmPvwME8++gtbxLXjs4TuZPfdXfpt/dOEYf39/fpzxEU8+/QpvvvMJ27YnYbMF07pVC8aMHkZAQNmnniju3TeeJb5lc9794HMeffIFmsQ24vZb/83999xSqmxV3v+K3HfXTaSmpvHcS2+Rk5PLoAF9+HHGR7TpeOyVcMsTHm7n93lf8/Djz/HfZ19l9559RETYaZcQz+SJYyquQKQWMxxZSWbFxUTqvtNGnU3r+JYeS3PXNEUnmX795acqXGFSqtcNt9zLex9O49Du1e6FU2qKgadNwmIx+O2n6b5uisgJycnJoWl8T5567N5jns5A6i79jxOpGTSCKFLo4am3M3Ls+Uy991aalrNqptR97304jfT0DDp2aEteXj6z5/7Ka29+yG23/KvGhMPc3FyW//0PP89bwB9/Liv33GkitcUbb39Mw5hoLi2cjioiIt6ngChSqH/fXjzz5APsSNqtgFjP2WwhvPDS22zZtoPc3DxatYzj0Qfv4LZb/lXxzl6yd98BBgydSEREOHf93/WMP2Okr5skcsICAgJ4541ndQJyEREf0hRTERERERERAXSaCxERERERESmkgCgiIiIiIiJADToGMS093ddNEBERERER8amqnlLL6XTy+DvfEREWwnXnDve4Lb/AwXszFrBz32FswYFcOWkwDSLCyq2v3o8gHs85zUSOh/qaeIv6mniT+pt4i/qaeEtt62vzlq6jcYPwMm9b+PcmQoICePjaMxnWuyNfz/urwvrqfUAUERERERGpjVLSM1m9eRf9u7Yt8/ZVm3bSN7ENAN07tGT99r2YZvlrlCogioiIiIiI1ELT5i5h8mk9MIyyb0/NyCLSbgPAarEQHBhAZnZuuXVW6hjENVt2MW3OEpymSf+uCYzul+hxe3LaEd6b+TvZOXk4TZOJQ3vQuU2zylTtZhgG9rDS82ELHE6czpN3Jo68fAfBwbaTVn9tZrEY+Fn1HUJ1qm1TFqT2Ul8Tb1J/E29RXxNv8VVfS9q7nztenO6+PnZgF8YN6lZm2VWbkggLCaJFbAM27NhbbW2oMCA6nU4+nbWYmy4YSaQ9hMff+Y7EhOY0iYlwl/nh91X06NCSwT3as+dgKi99PpfO159dpYaYpllqoZrsHAcWi8HJzCgWiwWn03ny7qAWczjB6TQJDrL6uil1QrjdrsWYxCvU18Sb1N/EW9TXfMMbn8drmpOdD8r7jG23BfPaPVMqVc+WXQdYtSmJf7bsoqDAQXZuPu98O5/LJwxyl4kICyElPZNIuw2H00l2bh624MBy660wIG7fc4iGUWHERLpG93p1bMWqjTs9AqJhQE5uPgA5uXlEhIZU6kGVx+E0sVgMAgNObm+0Wiw4lA/L5Afk5jlxOE2slmOMW4uIiIhIneStz+M1zcnOB9X1GXvS0B5MGtoDgA079vLTn2s8wiFAYkIci1ZtJr5ZQ5av2067lrEYx5qPWqjCVzslI4vIsKNTMCPsNlIysjzKnDGwK4v/2cKdL0zjpc9/4txRp1b6gR2L6TTr1TcVNZXF4notRERERKR+0efxk+dkfsae8dsKVm7cCUD/rglkZudy3ytf8dPite5AWZ5qOQ/i0rXb6JvYhhF9OrF11wHenbGA+6+eiKWCdDpz/gq+X7ASgMeunUhUZIT7trx8B5mZmVgtJ79XeuM+aiunBWw2GwH+mmZaHXTshHiL+pp4k/qbeIv6mnd58/N4TXOyH/OxPmMf7zTqdi1iadciFoDxg48es+jv58fVZw6tUl0VBsTIsBBSMjLd11PTM4kM85xCuvDvTdxw/ggA4ps1pKDAwZGsHOy24HLrHjeom/ugy7T0dI8npKDANa57sqd/uoaQS99Jel4+h/PyyHU4CbRaiA4IwB7gf3IbUwM5nU4yMjLw86t/bwzVTcdOiLeor4k3qb+Jt6iveZ+3Po9XpEGTznTskEB+fgF+flbOPXsC115zCZYqhrhRZ1zI7O8+rrDcsfJBketuvJuRIwYzYdyoKt1/cTX5M3aFLWrRpAEHktM5lJpBgcPB0rXbSGwb51Emym5j/bY9AOw9lEp+gYOwkKCT02IvSM/LZ092DrmFfw1zZv9Cy+ZdWb52o7vM7wuXcN5F11ap3rvue5w/Fi0DYNykKfTuP5ZBwyYzaNhkLr3i5mprf0kzvptD30HjGTPhYpKTUwHYtn0nl1/9H3eZvLw8xk68hIKCgpPWDhERERGpITIzsS5fBZmZFZf1seCgQOb/PJ1F82cw/fO3+HneAp58+pVK71/0+bYy4VAqERCtFgvnjurDC5/OZepr39CjQ0uaxER6zG09c3gvfv97Ew+/+S1vf/0bl44bUOHBjydNNXT2w3l5Htd/+m4OXXp04fPp3x93ncnJqSz7axX9+vZ0b3v95SeZ//N05v88nffffq7UPiXDWmXDW8lyb779CT/P+pwpF5/Dl4WP4dEnXuCeO290lwkICGDQgD58/e2syj4kEREREamNMjOxjz4P+5jzsY8+r1aExCIxMdH87+mpvPXuJ5imicPh4P4Hn2bYqHMYMHQS730wDXAN5oyZcDEXXHIdfQeNByAu3vU5/IprbmPO3N/cdV534918O3O2u64hI8/2qMs0TW6/6xF69x/LpLOv4OChZC8/au+q1DGInds0K3Vew+JzW5vERHD7pWOqt2XHo7CzWzdtxZEQT/qsz8BW9XMc5hYbR8/KzGLlX6t46YOXuf1ft/Hkvbe4b8s4coRzL/w327bvZED/3jz9xH2YpsmNt9zHipVrMAyDC8+fxLXXXMqM7+cwbOiACu/7uhvvJjAokFWr13Fq726kpqR5XD/v7PHcevtDZGfn0KplHC/+72EiIsIZN2kKnTq1Y/HiFUyeNIbr/z3FXafFYpCXl0dWdjb+/n4s+vMvGjZsQOv4Fh73Pfb003jo0ec4+8wzqvyciYiIiEjtYN2wBeumra7Lm7Zi3bAFR/fECvZy6fOho1rb8ufFVV/nomWLOBwOJwcPHeaHWfOw20P5efY0cnPzOH3cRQwd3A+AVavWsfDXb2jRwjPHTJowmm9mzGLkiMHk5eXx2++LefrJ+/nwk6+w20P5dc4XZGXnuOta9c86Nm3ZzqL5Mzhw8DB9B43nwvMnVcvjr4mqZZGamuJEOntxgVaLOyQu+Hk+fQb2oXmr5kREhvP3yjV07XIKAMtXrGbR/BnENWvCWedfw8zv59KieTP27DvAH799C0Bammuu/JIlKxg/bqTH/Vxz3R0EBbnOQzJkUD8eeuA2APbs2c/s7z7GarVy3Y13e1wfMHQSTz56N/379eKxJ1/kyWde4fGH7wIgPy+feXOmlXo8N994FZPOuZLGjWJ4/eUnmXLVrbz92n9LlevQPoEVf/9T5edLRERERGoPR7vWOBLi3YMqjnatfd2k4/bLr3+wdt1GZnw3B4D09CNs2baDAH9/unfrVCocAgw/bSB33fc4ubl5/PzL7/Tr04Pg4CB3XTO/m4uJ6a7rjz+XcebEMVitVmIbN2TQgBM/Y0NNVqcCYnV19uiAAPZk5wAw9/u5nHPJOQBMmnA6X339gzsgdu/WmZYtXMdjnjlxDH8uWc7ggX3YsWMXd9z9KCOGD+K0If0B2HfgENHRUR738/rLT9Kta6dS9z9h3EisVmup6+npGaSlp9O/Xy8Azj93Apdddau73KQJp5f5eIYO7uf+JuWzad8yYthANm/dwUuvTCUiws7jD99FSEgwVquVgAB/Mo5kEhZa9ZFXEREREakFbDbSZ33mGkxp17pKM+6OZ8Svum3fkYTVaiGmQTQmJk88enepmXq/L1xCSEjZ52YPCgpkQN/ezPv1d77+9kcmT3R9hi6qa+SwQR6L1Mz9ef7JezA1UM1bNudEFHb29B8+Pe7ppQD2AH+aBAeRnprBX38u44l7H+fsYZN4840P+GbmLEzTdc4SA8/jLA3DICIinPnzvqJ/v16898E0brz1fsB1cG1uTm6l7j8kJLjc65Xdr6SsrGw+/fwbrrzsfJ7470u88sJj9OndnS+mf+cuk5uXR1BgQKXuT0RERERqKZvNNdPuOD8v+8qhQ8ncevtDXHnZBRiGwWlD+vPu+5+Tn58PwOYt28nMzKqgFtc0008++4ZFi5e7w+Wx6urXpydfz/gRh8PBvv0HWbBwycl7gDVAnRpBBI529hNkD/Dn99m/M3rceF545gHCAlxh8IyJl7Loz78AWP73anbs2EVcXBO+nvEjl150NocPp+Af4M/4M0bSpnUr/nX9HQC0TYhna+GxisfdJnsYEeF2Fv35F3379ODzL2Z6LHpTkRdfeZerr7wIf39/cnJyMQwDi8VCduFoaXJyKtFRkfj717/TeYiIiIhIzZSdk8ugYZPdp7k456zxXPevSwG45MKzSEraw5ARZ2OaJg2iI/novRcrrHPokH7864Y7OX3UaQQEBHjUNWj4mTidR+s6Y8xwFvy+mL6DxtO0aSy9enQ5qY/X1+peQKxGc77/gXMvu4K8YsfijjtjBF99/QOTJoymW9dO3H73o+5Fas4YM5y16zZy/c334iwclr7vbteiNiOHD+a9D6dxyYVnuesqfgxidFQkX3/xdoVteuWFx9yL1LRs0YyXnnukUo9l774DLF+xmjtuc52a46rLL2TY6HMJDw/jo3ddf0QLFi5mxLBBlapPRERERMQbDu1ZfczbLBYL9919M/fdfbPH9gH9e5camEnausx92d/fn63rF5VZ19R7by11HsSnHr/3OFtf+xiOrCTT140ASp34tOjEnCf75JHlnQgzOdtkfxZEBEJs6ImftuP08Rfx2YevEB5uP+G6ToZLLr+J+++5hTatW7q3eet1qA90gl/xFvU18Sb1N/EW9TXvq6+fA8vLB9WlvOc23O7brFC/Xu0qCig8BjevmlbzfXjq7ezavbd6KqtmeXl5jBl9mkc4FBERERGR+kVTTMvhDojV9AVCz2o4NvJkCQgI4LxzJpTabgInPnYqIiIiIiK1QY0dQTQsBo6TO7JbIX+LKxwVOMFp1oiZuF7ndLpeCxERERERqftq7Aii1WKQ53SSm+fEYjl5o1hOC+4FZcrib7immGblQZC1/oREE1c4dDpNrJYa+z2CiIiIiIhUoxr9yT84yIqfX8mzDVYvWwXnfvngHye3/eLkr30nsRE1kAH4+RkEB/n+ZKgiIiIiIuIdNXYEsYjVYsBJnOIY4G8td2WmyGA4nGuyIwMG17MVnEREREREaoJnnnudL6d/j9VqxWIxePa/U/ngoy+59ppLaN+uzQnX36XnCObNnkZ0dOQxyzz7/BvcetPVVar3k8++5u+Va2rVaTJqfED0tWaFq8wmaVVlEREREZFy/bT3AB9uTWJ7ZhYtbSFcHB/H8NiGJ1TnkmV/M3vub/w690sCAwM4fDiFvPx8Xnj2oWpqdeX87zgCYm2kIbEKNLe7Ri+TMurP8YciIiIiIlX1094DTF21gS1HsnCYsOVIFlNXbeCnvQdOqN79+w8SHRVBYGAAANHRkcQ2bsi4SVNY8fc/AMTF9+T+B5+m76DxTDr7Cv5avopxk6bQrfcofpw9D3CN5t1+1yPues+76Fp+X7ik1P1dcMn1DB15Nn0Hjee9D6cB8OAjz5Kdk8ugYZO5+trbAZj25UyGjz6XQcMmc8v/TcXhcJ0b7+NPv6ZXvzEMH30ui5euOKHH7gsKiBWIC3P9TsrwbTtERERERGqyD7cmHWP7rhOqd+iQfuzes49e/cZw2x0PsfCPpaXKZGZlM3DAqSyaP4PQUBuPPvki06e9yYfvPs/jT71Upft76flH+GXOF8ybPY033vqY5ORUHrj3VoKDApn/83TeeOUpNmzcwtff/siPMz9i/s/TsVosfPHVd+zbf5Annn6JH2d8xA8zPmTDxi0n9Nh9QVNMK9DIBgEWOJwNmXkmtgCd8kFEREREpKTtmVlV2l5ZoTYbv8z5gkV//sWChUu44pr/cP89t3iUCQjwZ/hpAwDo0D6BwMAA/P396dihLTuT9lTp/l5/8yNm/jAXgN179rFl2w6ioiI8ysxf8CcrV61l2OhzAcjJyaVBg2j+Wr6KAX1706BBFACTJpzOli3bj+NR+44CYgUshkHTMNiW5hpFbB/t6xaJiIiIiNQ8LW0hbDlSOgy2tIWccN1Wq5UB/XszoH9vOnZI4LNp33rc7u/nh2G4BnIsFgsBAQHuy46CAgD8/Pw8Tm+Xm5tb6n5+X7iEX+cvYvZ3nxASEsy4SVPIzSldzjThvHMmlAqq3//484k90BpAU0wroXnRQjU6DlFEREREpEwXx8cdY3uzE6p30+ZtbNm6w339nzXriWvWpMr1NI9rwuo1G3A6nezavZe/VqwuVSY94wgREXZCQoLZuGkry5avdN/m5+9Pfn4+AIMGnsqM7+Zw8OBhAFJSUklK2kOP7oksXLSU5ORU8vPz+Xbm7Cq309c0glgJzcIMwNRKpiIiIiIix1C0WumHW3cVW8W02QmvYpqZmcUd9zxGWlo6fn5+xLdqzv/+O5UpV95S8c7FnNq7Oy2aN6XvoPG0TYinS+eOpcoMGzqA9z6YxqkDx5HQuiU9u3dx33bpRWcx4LTJdOncgTdeeYq777iRM8+7CqfTxN/fj6cev5dePbpwx23XMeqMCwi3h9GpU/sTeuy+YDiykmrEsFhaum/SV7jdXuF9f7PJyRN/mpweb/BAfw26yvGpTF8TqQ7qa+JN6m/iLepr3ldQ4JqOWd45w+siq8WCo9hU1JOhvOc23G4/qfddEY0gVkKcewSxRmRpERERERGp5/ILCnj6g1kUOBw4nSbd27dg3OBuHmX+WLmJ6fOWERHqOg50SM8ODOjWttx6FRArIc59DKJv2yEiIiIiIgLgZ7Vyy0WjCArwx+Fw8t8PfuCUNk2Jb+o5pbdHh1acP7pPpeutX+PFxykmGIKskJYL6bkaRRQRERERkeNXHYnCMAyCAvwBcDidOBxODE78lHw15hjE9IwM7GFhvm6GiIiIiIiITyTt3c+j7/zovj52YBfGDep2zPJOp5PH3p7JwZQMBvdsz+TTenrc/sfKTXzzy3LCbEE0jLJz9ojeRNlt5bahUgFxzZZdTJuzBKdp0r9rAqP7JXrcPm3uEjZu3wtAXoGDjMxs/nfbhRVV66EmL1IDcPdvDubthAf6G5wer4FXqTodXC/eor4m3qT+Jt6ivuYb2TkOLBYDi4VqGJuqHSwWi8f5EquTCTid4HSaBAdZyyxzPIvUZOXk8tqXv3DuyFNp2jDSvf1IVg6BAf74+1mZv3wDf63dxi0XjS63rgqPQXQ6nXw6azE3XTCSSHsIj7/zHYkJzWkSE+Euc86I3u7LvyxdR9K+w1V+UDVdnN21UM0uHYcoIiIiIvVEcJAVh9PEdNaISYdeYbPZyMg4OR/6DcDPz8Bqqd4Bp5CgQNq1aMyarbs9AmJoSJD78oCuCUyft6zCuioMiNv3HKJhVBgxka7pn706tmLVxp0eAbG4pWu2ckY5w6C1VVzh7FedC1FERERE6hOrxQBLfRk/hAB/a604tUdGZg5Wq0FIUCB5+QWs27aHkX07e5RJy8giPMy1gunKjUnERodXWG+FATElI4vIsKPzVCPsNrbtPlhm2cNpRziUeoT2LRtXeMcAM+ev4PsFKwF47NqJREVGVGq/6laZYdwOsQVABnuyLD4/N4nUXuo74i3qa+JN6m/iLepr4i2+6mtVmUaddiSL92f+jtM0MU2THh1akpgQx4zfVtAiNpoubZszb9k6Vm1MwmIxsAUHcum4ARXWW62nuVi2ZhvdO7TAUskh03GDurkPukxLT/fJvPLKzmePtLiG1benOEhNS8Mw6s+3KFI9dOyEeIv6mniT+pt4i/qaeEtt6WvNGkVxz5XjS20fX+xciJOG9mDS0B5VqrfCJBcZFkJKRqb7emp6JpGFw5QlLVu7jV6nxFepAbVFZBDY/OFIPqTk+Lo1IiIiIiIi1a/CgNiiSQMOJKdzKDWDAoeDpWu3kdg2rlS5fYdSyczJJb5pzElpqK8ZhnH0OEQtVCMiIiIiInVQhVNMrRYL547qwwufzsXpNOnXpQ1NYiI95rYCLF27jV4dW9XpqZfN7Qbrk02SMky6NKy7j1NEREREROqnSh2D2LlNMzq3aeaxrfjcVqDcEzjWFXGFx6pqJVMREREREamLav76rTVIM/epLurPeWBERERERKT+UECsgrgw17RSHYMoIiIiIiJ1kQJiFRRNMd2VAaapUUQREREREalbFBCrIDzQIDwQsgvgULavWyMiIiIiIlK9FBCrSKe6EBERERGRukoBsYri7K7jEHdqoRoREREREaljFBCryD2CqFNdiIiIiIhIHaOAWEVFAXFXhkYQRURERESkblFArKKiKaYaQRQRERERkbpGAbGKip/qwqlTXYiIiIiISB2igFhFNn+DqCDIc8L+TF+3RkREREREpPooIB6HolFEnepCRERERETqEgXE49A8rOg4RE0xFRERERGRukMB8ThoBFFEREREROoiBcTj0EwjiCIiIiIiUgcpIB4HjSCKiIiIiEhdpIB4HOLCXL93Z0CBU6OIIiIiIiJSNyggHocgP4OGIeAwYZ9OdSEiIiIiInWEAuJxKhpFTEr3bTtERERERESqiwLicWoe7lqoZmuqppiKiIiIiEjd4OfrBtRW7aNcv9cd9m07RERERESk/skvKODpD2ZR4HDgdJp0b9+CcYO7lSjj4L0ZC9i57zC24ECunDSYBhFh5dargHicOkYbgMn6ZI0gioiIiIiId/lZrdxy0SiCAvxxOJz894MfOKVNU+KbNnSXWfj3JkKCAnj42jNZumYrX8/7i6smDym3Xk0xPU6tIiDQCrsyID1XIVFERERERLzHMAyCAvwBcDidOBxODAyPMqs27aRvYhsAundoyfrtezHN8rNLpUYQ12zZxbQ5S3CaJv27JjC6X2KpMsvWbuO7BX9jYNCsUSRXTBxcqQdWxDAM7GHlD3eeLOF2+3Ht9/e/qrkhUucdb18TqSr1NfEm9TfxFvU18RZf9bWkvfu548Xp7utjB3Zh3KBuxyzvdDp57O2ZHEzJYHDP9rRqGuNxe2pGFpF2GwBWi4XgwAAys3MJDQk6Zp0VBkSn08mnsxZz0wUjibSH8Pg735GY0JwmMRHuMvuT05n9x2r+75Ix2IIDSc/MrqjaUkzTJC3d+0uChtvtx32/zyxx8sUGk393Nbi0swZjpXwn0tdEqkJ9TbxJ/U28RX1NvMWXfc1uC+a1e6ZUurzFYuHeqyaQlZPLa1/+wu4DKTRtGHlCbagw1Wzfc4iGUWHERIbhZ7XSq2MrVm3c6VHm9xUbGdyjPbbgQMD1wOqDDtGu3+t0HKKIiIiIiPhISFAg7Vo0Zs3W3R7bI8JCSEl3nbjd4XSSnZvnzmzHUuEIYkpGFpFhtqN3YrexbfdBjzIHktMAeOr9HzCdTs4Y1JVTWjer8IHMnL+C7xesBOCxaycSFRlR4T4nw/EOIfdq4YA/0tmQbNGUB6kU9RPxFvU18Sb1N/EW9TXxFl/1taqMXGZk5mC1GoQEBZKXX8C6bXsY2bezR5nEhDgWrdpMfLOGLF+3nXYtYzEM4xg1ulTLKqZOp8mB5HT+c9FoUjIyeeaDH7nv6gmEBJWfTscN6uaeU5uWnl7rpphGWUxC/GDvESfb9qcRFVz+ky31m6bGiLeor4k3qb+Jt6ivibfUlr6WdiSL92f+jtM0MU2THh1akpgQx4zfVtAiNpoubZvTv2sC7367gPte+YqQINdpLipSYUCMDAshJSPTfT01PZPIsBCPMhFhIbRqGoPVaqFBRBgNo8M5kJxByyblB8TazmoxaBcFKw7A+mTo19TXLRIRERERkfqgWaMo7rlyfKnt44udC9Hfz4+rzxxapXorPAaxRZMGHEhO51BqBgUOB0vXbiOxbZxHma7tmrNxxz4AjmTlcOBwGg0iQqvUkNqqfbRr1HDdYR2HKCIiIiIitVuFI4hWi4VzR/XhhU/n4nSa9OvShiYxkR5Dlx3jm7J26x6mvv41FsNg8rCe5S6dWpd0LFyoZu0hBUQREREREandKnUMYuc2zejcxnPRmeJDl4ZhcPaI3pxdvW2rFVwjiCbrk12n6qjooE8REREREZGaSifvO0HNwiAsAA5nw8Gqn/5RRERERESkxlBAPEGGYdA+ynV53SHftkVEREREROREKCBWgw5aqEZEREREROoABcRqULSS6fpkBUQREREREam9FBCrQccGrt9rD7kWqhEREREREamNFBCrQaMQiAyE9DzYe8TXrRERERERETk+CojVwDAM2heeD3Fdsm/bIiIiIiIicrwUEKtJ0UI1aw9piqmIiIiIiNROCojVpCggrtdKpiIiIiIiUkspIFaToimm65PBqYVqRERERESkFlJArCYxIQYxwZCZD7syfN0aERERERGRqlNArEYdCkcRdRyiiIiIiIjURgqI1ai9+zhEHzdERERERETkOCggVqOihWrWJWsEUUREREREah8FxGpUNMV0w2EocCokioiIiIhI7aKAWI0iggxibZDjgB1pvm6NiIiIiIhI1SggVrOiUURNMxURERERkdpGAbGadWhQeBziIR83REREREREpIoUEKtZh6jCgHhYI4giIiIiIlK7KCBWs3aFU0w3p0C+QyFRRERERERqDz9fN6CuCQswaG6HnemwJRXaR/u6RSIiIiIiUtckp2fy3owFpGdmY2AwoFtbhvXu6FFmw469vPrFPBqEhwLQrX0Lxg7sWm69CognQfsog53pJusPm7QvPDeiiIiIiIhIdbEaBmcN60Xz2GhycvN57J2ZdGjVhCYxER7lEuIacd25wytdr6aYngTulUwP+7YdIiIiIiJSN4WHhdA81hU8ggL9aRwdTmpG1gnXaziykio8UG7Nll1Mm7MEp2nSv2sCo/sletz+x8pNTJ+3jIjQEACG9OzAgG5tq9SQ9IwM7GFhVdpHRERERESkrkjau59H3/nRfX3swC6MG9Stwv0OpWbwzIezuP/qCQQHBri3b9ixlze++pWIsBAiQkM4c3hPmsRElltXhQHR6XRy/6tfc9MFI4m0h/D4O99xxcTBHkOXf6zcxI69hzl/dJ8KG38saenpx73viQi326v9vrPyTYZ/7sQAfj7PQpCfppnKyelrImVRXxNvUn8Tb1FfE2/xdV8Lt9urVD4nL59nP5zF6f0T6da+hcdt2bl5GIZBUIA/qzfvYtqcxTx87Znl1lfhFNPtew7RMCqMmMgw/KxWenVsxaqNO6vU6PomxN8gPgIcJqzR+RBFREREROQkcDicvPHVL/TuFF8qHAIEBwYQFOAPQOc2zXA4nRzJyim3zgoXqUnJyCIyzOa+HmG3sW33wVLlVqzfweak/TSMsnP2iN5E2W2lypQ0c/4Kvl+wEoDHrp1IVGREhfucDFVN6ZUxsEUWm1NyWXHYn9PahlR7/VI7nYy+JlIW9TXxJvU38Rb1NfEWX/W1qoxcmqbJB98vpHF0OMNPPaXs+o5kYbcFYxgG23YfxDTBFhxYbr3VsoppYkIcvU6Jx9/PyvzlG3h/xgJuuWh0hfuNG9TNPac2LT3dJ0O5J2sIuWu0a+bu/G25XHlKQbXXL7WPr6crSP2hvibepP4m3qK+Jt5SW/rall0HWLx6C00bRvLIm98CMGFoD1LSjgAwqEd7lq/bwfzlG7BYDAL8rFw5aTCGUf7hbxUGxMiwEFIyMt3XU9MziQzzHBELDQlyXx7QNYHp85ZV/pHVUV0bQaAVNqbAoSyTBiE6DlFERERERKpHm7hGvHbPlHLLDO3VgaG9OlSp3gqPQWzRpAEHktM5lJpBgcPB0rXbSGwb51Emrdhyqis3JhEbHV6lRtRFgVaDHo1dlxfvrXChWBEREREREZ+rcATRarFw7qg+vPDpXJxOk35d2tAkJpIZv62gRWw0Xdo2Z96ydazamITFYmALDuTScQO80fYa79RYgz92myzeA2Nb+7o1IiIiIiIi5avUeRC9oS6d5qLIznSTc751Eh4IP5xlwWrRNNP6rLbMZ5faT31NvEn9TbxFfU28xdd9zdeLMVU4xVSOX1wYxNogLRc2JPu6NSIiIiIiIuVTQDyJDMOgT1PXqOGfe2rEQK2IiIiIiMgxKSCeZH1iFRBFRERERKR2UEA8yXo2BqsB/xyC9FyFRBERERERqbkUEE8yW4BBYkNwmrBsn69bIyIiIiIicmwKiF6gaaYiIiIiIlIbKCB6QfGFakxTIVFERERERGomBUQvSIiEyCA4kAXb03zdGhERERERkbIpIHqBxTDo08Q1irhI00xFRERERKSGUkD0kj5NXL8XKyCKiIiIiEgNpYDoJb1jDQxgxX7IKVBIFBERERGRmkcB0UsigwzaR0OeE5bv93VrRERERERESlNA9KJTC093oWmmIiIiIiJSEykgelHx012IiIiIiIjUNAqIXtSpAdj8YUc67DmikCgiIiIiIjWLAqIX+VkMesW6LmuaqYiIiIiI1DQKiF5WdD5ETTMVEREREZGaRgHRy4oC4tJ9UOBUSBQRERERkZpDAdHLGtsMWoZDVj6sPujr1oiIiIiIiBylgOgDfWI1zVRERERERGoeBUQfKDrdxSIFRBERERERqUH8fN2A+qhrQwjxh43JsD3NpGW44esmiYiIiIhILZKcnsl7MxaQnpmNgcGAbm0Z1rujRxnTNJk2Zwn/bNlFgL8fl54xgOax0eXWqxFEHwjyMxjWwhUKf9iiUUQREREREakaq2Fw1rBeTL1mEndMGctvf61nz8FUjzL/bNnNgeR0Hvr3ZC4c05dPZi2qsN5KBcQ1W3bxwKvTue+Vr5j1x6pjllu+fjv/evQ9duw5VJlq67WxrV0B8cdtJg6tZioiIiIiIlUQHhbiHg0MCvSncXQ4qRlZHmVWbdxJn8TWGIZBfNOGZOfkkVaiTEkVTjF1Op18OmsxN10wkkh7CI+/8x2JCc1pEhPhUS4nN595S9bRqkmDKj40F8MwsIeFHde+Jyrcbvf6fQ62w7o2Xr9b8TFf9DWpn9TXxJvU38Rb1NfEW3zV15L27ueOF6e7r48d2IVxg7pVuN+h1AyS9ifTqqlnFkvNyCLSbnNfj7DbSM3IIjws5Jh1VRgQt+85RMOoMGIiXeGtV8dWrNq4s1RAnPHbckb17cScP/+p8AGUxTRN0tLTj2vfExFut/vkfgHeWeXkjZUmI1saPDRQs33rOl/2Nalf1NfEm9TfxFvU18RbfNnX7LZgXrtnSpX2ycnL542vfuWcEb0JDgw44TZUGBBTMrKIDPNMndt2e57Ab+few6SkZ9E5Ia5KAXHm/BV8v2AlAI9dO5GoyIhK71udfPUNwTmJDt5Ymc5vSSaWwDDCArVYTV2nbz7FW9TXxJvU38Rb1NfEW3zV16oaTB0OJ2989Qu9O8XTrX2LUrdHhIWQkp7pvp6anklEOaOHUA2rmDpNky9+WsKl4wZUed9xg7q5h0zT0tPr3QhiKNCjEfy1H6b/k8bEBI0i1mX65lO8RX1NvEn9TbxFfU28pbb0NdM0+eD7hTSODmf4qaeUWSYxIY5fl62nZ8dWbNtzkKDAgHKnl0IlAmJkWAgpGZ6pM7JYpbm5+ew5mMqzH80CIP1INq988TPXnj2MFsd5PGJ9Mra1wV/7Tb7fYjIxwdetERERERGR2mDLrgMsXr2Fpg0jeeTNbwGYMLQHKWlHABjUoz2d2jTjny27ue+V6QT4W7n0jIoH9SoMiC2aNOBAcjqHUjOICAth6dptXDFxkPv24KAAnrn1fPf1Zz78kbOG9VI4rKShzQ2eXmKy+iDsTDdpbtc0UxERERERKV+buEYVHq9oGAbnj+5TpXornNNotVg4d1QfXvh0LlNf+4YeHVrSJCaSGb+tYOXGnVW6Mykt2N/gNJ0TUUREREREagDDkZVUI1KJr+b51oQ5xsv3m1w7x0mjEPh6sgWLoVHEuqgm9DWpH9TXxJvU38Rb1NfEW3zd13y9GJNWRakBujaEJqGwPwv+2ufr1oiIiIiISH2lgFgDWAyDMfGuUcPvNc1URERERER8RAGxhigKiL/sNMnMU0gUERERERHvU0CsIZqEGXRrBLkOmLdTAVFERERERLxPAbEGGdta00xFRERERMR3FBBrkKHNDYKs8PcB2JWhkCgiIiIiIt6lgFiD2IqdE/HHrQqIIiIiIiLiXQqINUzxaaZOUyFRRERERES8RwGxhunWCBrbYF8mrNjv69aIiIiIiEh9ooBYwxQ/J+K3mzSCKCIiIiIi3qOAWAONTzCwGvDTDpOkdIVEERERERHxDgXEGqixzTWK6DThg38UEEVEfC4zE+vyVZCZ6euWiIiInFQKiDXUJZ0MLAb8sNVkzxGFRBERn8nMxD76POxjzsc++jyFRBERqdMUEGuoOLvBqFYGDhM+1CiiiIjPWDdswbppq+vypq1YN2zxcYtEREROHgXEGuzSTgYG8N0WkwOZCokiIr7gaNcaR0K863JCPI52rX3cIhERkZNHAbEGaxluMKyFQb4TPlyjgCgi4hM2G+mzPiP9h09Jn/UZ2Gy+bpGIiMhJo4BYw03p7DrlxYzNJoezFRJFRHzCZsPRPVHhUERE6jwFxBquTaTB4DjIdcDHaxUQRURERETk5FFArAUu6+x6maZvMEnJUUgUEREREZGTQwGxFmgfbdC/KeQ44LN1CogiIiIiInJyKCDWEkWjiF+sN0nLVUgUEREREZHq5+frBkjldIox6B0LS/bCtPUmV3UxfN0kERERkZohMxPrhi2u09BoMSmpJz6Y+TurN+8izBbE/VdPLHX7hh17efWLeTQIDwWgW/sWjB3YtcJ6FRBrkcs7W1iy18nn60zO72ASGqCQKCIiIvVcZib20edh3bQVR0K8Tkcj9UbfLm0Y0rMD781ccMwyCXGNuO7c4VWqt1IBcc2WXUybswSnadK/awKj+yV63D7/r/X8+td6LIZBYIA/F47pR5OYiCo1RCrWtZFBt0awYj98scHkss4KiCIiIlK/WTdswbppq+vypq2ukcTuiRXsJVL7JTRvzKHUjGqvt8KA6HQ6+XTWYm66YCSR9hAef+c7EhOaewTAXp3iGdSjPQArN+7ky5+WcOP5I6vUEMMwsIeFVa311STcbvfJ/R6PT87ydQvkRNSmvia1m/qaeJP6m3hLmX2tZzfMdm0wNmzGbNeG0J7dIFQjiHJifPW+lrR3P3e8ON19fezALowb1O2469u6+yAPv/ktEaEhnDm8J01iIivcp8KAuH3PIRpGhRET6QpvvTq2YtXGnR4BMTgwwH05L78Ag6qPbJmmSVp6epX3O1HhdrtP7vd4mabJ1bOdrD4IVyQaXNVF6wzVFrWtr0ntpb4m3qT+Jt5Sbl/74ZOjxyA6HaA+KSfAl+9rdlswr90zpVrqat44mkevP4ugAH9Wb97Fq1/M4+Frz6xwvwrTRUpGFpFhR7+FibDbSMnIKlXu12XruPflr5j+8zLOGXVqFZsvlWUYBtd1c71sH/xjsj1NK5qKiIhIPWezuaaV6thDEbfgwACCAvwB6NymGQ6nkyNZORXuV22L1Azp2YEhPTuw5J+t/Pj7SqaMH1jhPjPnr+D7BSsBeOzaiURFRlRXc6qktk2NGWyHM5My+WpdHs8ss/D+xFAMQ8cj1ga1ra9J7aW+Jt6k/ibeor4m3uKrvladI5dpR7Kw24IxDINtuw9immALDqxwvwoDYmRYCCkZme7rqemZRIaFHLN8z1Na8cmsRZVq9LhB3dxzatPS0zXFtAqu7mwybyss3VPAJyvSOKONpprWdLW1r0nto74m3qT+Jt6ivibeUlv62ltf/8bGHfs4kp3DnS9MY9ygrjgcTgAG9WjP8nU7mL98AxaLQYCflSsnDa7UoFKFAbFFkwYcSE7nUGoGEWEhLF27jSsmDvIosz85nUZRrpT9z6ZdNIzUtzsnW3igwU09DaYuNHnhL5P+zUwigzSKKCIiIiJSH1w5aXC5tw/t1YGhvTpUud4KA6LVYuHcUX144dO5OJ0m/bq0oUlMJDN+W0GL2Gi6tG3Or8vWsX7bXqwWg5DgQKaMH1DlhkjVjWpl8MNWkyV74YW/TB7or4AoIiIiIiLHz3BkJdWIVU58NYxbW4aQj2VXhsmFM53kOuDF4RZ6xSok1lS1va9J7aG+Jt6k/ibeor4m3uLrvubrY2114Fot1yzM4LLOrlD45GInOQU1Iu+LiIiIiEgtpIBYB1zY0SA+HHZlwPv/KCBKPZKZiXX5KsjMrLisiIiIiFRIAbEO8Lca3NHH9VJ+uMZkW6pCotQDmZnYR5+Hfcz52Eefp5AoIiIiUg0UEOuILg0NJiUYFDjhicVOnKZCotRt1g1bsG7a6rq8aSvWDVt83CIRERGR2k8BsQ65trtBVBCsPAAzNisgSt3maNcaR0K863JCPI52rX3cIhEREZHaTwGxDgkLMLill2vBmpeXmxzIVEiUOsxmI33WZ6T/8Cnpsz4Dm83XLRIRERGp9RQQ65jhLQz6N4WMPLjzNyd5DoVEqcNsNhzdExUORURERKqJAmIdYxgG9/e30NgGaw/Ds0sVEEVEREREpHIUEOug8ECDJwZbCLTCN5tMvt3k9HWTRERERESkFlBArKPaRxvcfqrreMSnl5isOaSRRBERERERKZ8CYh02trWFs9oZ5Dvhrt+cJGcrJIqIiIiIyLEpINZxN/UwSIyBA1lw7wInBU6FRBERERERKZsCYh3nbzV4bJCF6GBYvt91+gsREREREZGyKCDWAw1CXCHRasCn60zmbtOiNSIiIiIiUpoCYj3RpaHBLb1ci9Y8ushkU4pGEkVERERExJMCYj1yZluDMfEGOQ64/RcnBzIVEkVERERE5CgFxHrEMFynvugYDXsz4bq5Tg5mKSSKiIiIiIiLAmI9E+Rn8NwwC22jICkDrp/r5LBOfyEiIiIiIigg1kv2QIMXh1toEwk70uGGuU5SchQSRURERETqOwXEeiq8MCS2CoetaXDDT07SchUSRURERETqMwXEeiwyyOClERZa2GFziiskpiskioiIiIjUWwqI9Vx0sCskNguDjclw889OjuQpJIqIiIiI1Ed+vm6A+F5MiMHLIyz8e46TtYfhlnlOnhtmweZv+LppIiIiIiJShg9m/s7qzbsIswVx/9UTS91umibT5izhny27CPD349IzBtA8NrrCeisVENds2cW0OUtwmib9uyYwul+ix+0/LV7D739vxGqxEBoSxCVn9Cc6PLRyj0xqhEa2oyFx9UHX6qZPDbEQE6KQKCIiIiJS0/Tt0oYhPTvw3swFZd7+z5bdHEhO56F/T2bbnoN8MmsRd152RoX1VjjF1Ol08umsxVx/3ggeuGYiS9dsY8/BVI8ycY2iuPvycdx31QS6t2/B9J+XVe5RSY0SG+oKiU1CYd1huPxHJ+sPa7qpiIiIiEhNk9C8MSHBAce8fdXGnfRJbI1hGMQ3bUh2Th5pGVkV1lvhCOL2PYdoGBVGTGQYAL06tmLVxp00iYlwl2nXMtZ9uVXTGBb/s7XCOy7JMAzsYWFV3q86hNvtPrnfmijcDj9f6utW1F3qa+It6mviTepv4i3qa+ItvuprSXv3c8eL093Xxw7swrhB3Y6rrtSMLCLtNvf1CLuN1IwswsNCyt2vwoCYkpFFZJhnxdt2Hzxm+YV/b6JT66aVabMH0zRJS0+v8n4nKtxu98n91nR5DpOnFpt8t8U1gnhNV4MpnQwMQ1NOj1e5fS0zE+uGLTjatQabrewyIpWk9zXxJvU38Rb1NfEWX/Y1uy2Y1+6Z4pP7LlKti9QsXr2FnXsPcevFp1eq/Mz5K/h+wUoAHrt2IlGREdXZnErTt1Fle2qUSYe/c3n6j2xe/9tkT5Y/Dw8NIdBPIfF4ldnXjmRijLkAY8NmzHZtMBd8B6EKiXJi9L4m3qT+Jt6ivibe4qu+Vp3BNCIshJT0TPf11PRMIioYPYRKBMTIsBBSMjwrjiyj4nXb9vDjwlXcevFo/P2slWr0uEHd3EOmaenpGkGsgc5sDQ0DLDzwu5OZG/PYmpzHU0MsRAcrJFbVsfqadfkq7Bs2A2Bs2EzGshU4uieWKidSWXpfE29SfxNvUV8Tb6krfS0xIY5fl62nZ8dWbNtzkKDAgAqnl0IlFqlp0aQBB5LTOZSaQYHDwdK120hsG+dRZue+w3z8wyL+fc4w7Lbg438UUiMNjDN4fbSFxjZYcwgu/8HJmkNavKa6ONq1xpEQ77qcEO+aZioiIiIiUo63vv6Np977gX2H07jzhWks/Hsj8/9az/y/1gPQqU0zGkSGcd8r0/no+z+4YHSfStVrOLKSKvykv3rzLr6YuwSn06RflzaMGdCFGb+toEVsNF3aNue5j2ez+2AK4YXhMCo8lGvPGValB+irlF5XviHwhsPZJnf+5joNhtWAyxMNLu1k4GfRaGJl6BhE8Ra9r4k3qb+Jt6ivibf4uq/5eip1pQKiNygg1g65DpPXVph8us7VbTpGw9QBFprbFRIror4m3qK+Jt6k/ibeor4m3uLrvubrgFiti9RI3RdoNbipp0H/piYP/eFk7WG45DsnN/QwsIcd4qNtSWzPzKKlLYSL4+MYHtvQ100WEREREZFKUkCU49Iz1uDjcRaeXmIye5vJ0ysPYg3f6L59y5Espq7aAKCQKCIiIiJSS1S4SI3IsYQFGDw4wMIjAw38QneVWebDrWVvFxERERGRmkcBUU7Y8JYWDGtWmbdtzyx7u4iIiIiI1DwKiFItWoWWfU6VMEswmfk1Yh0kERHxpsxMrMtXQWZmxWVFRKTGUECUanFxfFyZ2w8nN+Pcb538uNWJaSooiojUC5mZ2Eefh33M+dhHn6eQKCJSiyggSrUYHtuQqYntaB1qw2oYtA61cWWrdnQIbcChbHhwocnVs52sP6yQKCJS11k3bMG6aavr8qatWDds8XGLRESksrSKqVSb4bENS61YekmCyQ9bTV5ebrL6IFz2g5MzWhtclmjQJFTnThQRqYsc7VrjSIjHumkrjoR4HO1a+7pJIiJSSQqIclJZDIMzWhsMiTN5Z7XJ5+tMZm5xhcaxrQ2mdDJoEqagKCJSp9hspM/6DOuGLa5waLP5ukUiIlJJmmIq1esYixKEBhjc2MPCp+MtjG5lYAIzNpuc/a2TRxc52ZOhqaciInWKzYaje6LCoYhILaOAKNWnEosSNLcbTB1g4bPxFk6PdwXFmcWC4m4FRRERERERn1FAlGpTlUUJmtsNHuhfOiie862Tqb87WafFbEREREREvE4BUapN0aIEQKUXJSgeFMcUBsVZ20wu+8HJVbMczN3mpMCpsCgiIiIi4g2GIyupRnz6TktP98n9htvtPrvvOikz84QWJdiTYfLlRpMZm0yO5Lu2xQTDpLYGExMMooJr74I26mviLepr4k3qb+It6mviLb7ua+F2u8/uGxQQfd4BpGxZ+SaztplMW2+yPc21zd8CI1oaTEgwSIwBw6hdYVF9TbxFfU28Sf1NvEV9TbzF133N1wFRp7mQGinE32ByW4NJCSZL98G09U4W7oIftrpOkdEsDMbEG4xpbdDYVruCooiIiIhITaWAKDWaYRj0joXesVZ2ZZh8s8lk1laTXRnwxkqTN1ea9GgMY1sbDIkzCPZXWBQREREROV4KiFJrNAszuL67wb+6mizd6xpN/G2nybJ9sGyfyX/9TIa2MBjWwqBXY/C3KiyKiIiIiFSFAqLUOn4Wg75NoW9Tg4w8k5+3m3y/1WT1Qfh+i8n3W0xC/WFQnMHQ5ga9m0CgwqKIiIiISIUUEKVWCwswmNjWYGJb2JluMne7ybwdJltSjx6vGOIPA5oaDG1h0LcJBPkpLIqIiIiIlEUBUeqM5naDKxINrkh0hcVfdpjM22myIRnmbDeZs90k0Ao9GkO/pgZ9mxg0DVNYFBEREREpooAodVJzu8GlnQ0u7Qy7M0x+2en6WXMI/tgNf+w2AZMWdtdU1X5NDbo2hABNRRURERGRekwBUeq8pmEGF51icNEpcDjb5M89Jn/shsV7THakw450k8/WmQT7QfdG0LOxQc/GBq0jwVLLzrUoIiIiIvXHmi27mDZnCU7TpH/XBEb3S/S4/Y+Vm5g+bxkRoSEADOnZgQHd2pZbpwKi1CvRwQZjWxuMbQ0FTpN/DrpGE//YY7I5BRbuhoWFo4vhga7A2KMwMLawu067ISIiIiLia06nk09nLeamC0YSaQ/h8Xe+IzGhOU1iIjzK9ejQivNH96l0vZUKiBUl00079zFtzhJ2H0jhikmD6dGhZaUbIOIrfhaDro2gayODa7vDgUyTZftcp834a5/J/iz4ZSf8stMVGBsEQ5eGBokxkNjQICHSVYeIiIiIiLdt33OIhlFhxESGAdCrYytWbdxZKiBWVYUBsTLJNNJu49JxA5i7eM0JNUbElxraDMa0NhjTGkzTZPcR1/kV/yo8z+KhbPh5h8nPOwBMgqxwSgNXWEyMMegcA6EBCowiIiIicvKlZGQRGWZzX4+w29i2+2CpcivW72Bz0n4aRtk5e0Rvouy2UmWKqzAgViaZNohw3XYis+8Mw8AeFnb8FZyAcLvdJ/crNVtEOJzSFC6txjrV18Rb1NfEm9TfxFvU18RbfNXXkvbu544Xp7uvjx3YhXGDuh13fYkJcfQ6JR5/Pyvzl2/g/RkLuOWi0eXuU2FArGwyPR4z56/g+wUrAXjs2onVUqeItxzOcrJiXwEr9hawfF8Baw44yHd6lvGzQEKUlU4NrXRq6Ef7BlYSoqwE+x/9NuXHnXt4c/1mtqYfId4eylXt23B68yZefjQiIiIi4mt2WzCv3TOlUmUjw0JIych0X09NzyQyLMSjTGhIkPvygK4JTJ+3rMJ6fbpIzbhB3dyJOC09nbT0dK+3Idxu98n9Su3nB/Rq4PqhM+Q5LGxJhbWHTNYdhnWHTbalwbpDDtYdcvDF2jwALAY0t0PbSAMj6CA/J29017kpLYPbF68gKzuL4bENffK4pPbT+5p4k/qbeIv6mnhLbelrLZo04EByOodSM4gIC2Hp2m1cMXGQR5m0jCzCC0Pjyo1JxEaHV1hvhQGxMslURFznUOwQDR2ij44OZuWbbEyGtYdNtmX4s2Z/HjvSYXsabE8zsUbtwijjr/Dl9Uk08oshPhxsOq5RREREREqwWiycO6oPL3w6F6fTpF+XNjSJiWTGbytoERtNl7bNmbdsHas2JmGxGNiCA7l03IAK660wIFYmmYpI2UL8j66UGm63kZbuIKfANbK4Mdnk6a1ZmGXsdyA3m6tmuearNgqB+AhoGW7QIhxa2l2/IwJ12g0RERGR+qxzm2Z0btPMY9v4wUePWZw0tAeThvaoUp0VBsTKJNPtew7x2pfzyMrJY/WmXXw3/28euGZilRoiUl8E+R0daZx+IIQtR7JKlQmzBtMw0jXSuD/L9bNoT1GUdP22B0CLcGhRGBjjwgyahUGzMNd9iIiIiIhUleHISiprAMPrfDXPt7bMMZbar6y+9tPeA0xdtaFU2amJ7Rge2xCH03W6ja2psCPNLJye6vqdmX/s+4oJgbgwaBZmEGd3/W4SCk1DdSqO+kDva+JN6m/iLepr4i2+7mu+Xq3Xp4vUiNR3RQvRfLh1F9szs2hpC+Hi+Gbu7VaLQXO7a1EbOBrsTNMkOcc1wrgj3WRHGuzKMEnKgD1H4GCW62f5fs9RR3CNPDYJLfwpDI5NQg0a26CxTaOPIiIiIvWZAqKIjw2PbVjlFUsNwyA6GKKDoUdjz0BX4DTZnwm7MiApw2RXuuv33iOu8JieB+nJsD4ZjgbHowEyMhAah1IYGA3370Y218hkZBBYdOyjiIiISJ2kgChSx/hZDJqGQdMwOBXPIFc08rjnCOw5YrK7cMRxX6bJvkzYlwkpua6fdYehrADpb3EFxUYh0NBm0DDEdT0mxCAm2HU5OtjVDhERERGpXRQQReqR4iOPnWNKBzinaXIoG/Ydgf2ZJnsLQ+P+TJMDWbA/0zUCuadwNBKPNViPXjaAqGBoUBQYgwwaFAbHBsFG4W+ICgJ/q4KkiIhbZibWDVtwtGsNNpuvWyMi9ZACooi4WQzXiGDDEICyg1tOwdGweCDLNZ31YDYcyjJdxz5mQ3I2HC782eAxlbXkZQgPdAXFqCCICjaKXYaoIIOoYNe01ohAz+Mjf9p7gA+3JhU7djOuylN1RURqlMxM7KPPw7ppK46EeNJnfaaQKCJep4AoIlUS5Ff2wjnFFThNkrPhQBYcyoZD2aY7MB7Odo1SHs6G5BxIy3X9bEuDkuGx5PUQP1dYtAYdYo9lo3v7liNZTF21gY3JMLhRDBGBrkAZ4q9zRYpI7WHdsAXrpq2uy5u2ukYSuyf6uFUiUt8oIIpItfOzGDS0QUP3F99lhzSH0yQt1xUUk3Nc4TE5xzUCmZIDyTmu6ymFP1kFkHUErAG7MCyl6/t4WxIfLI8u1g7XCGV4gOu3PRDCAw0iAgu3B4I90MAe4Lqt6HeApr2KiA842rXGkRDvHkF0tGvt6yaJSD2kgCgiPmO1uKaQRgUXbTl2MDNNk8x8V5C8aFEWzjLKWPyzSYiC1FxIzYEcx9GprsVqKllzqXqCrK6gGBbgCo1hARAWaBDmD2GF2123GYQWXg4NgDB/CPLTqKWIHCebjfRZn+kYRBHxKQVEEakVDMMVxkIDoFVoCFuOZJUqEx8awnv9re7rOQUm6blHp7Gm5UFarum+np4L6Xlm4W/cZXMckJPlmiJ7VOkgWdY2q3E0MNr8XZdt/hAaYBDq79pe9Nvmb2Dzd91uKyrnD8EnKWTquE2RWsBm07RSEfEpBUQRqXUujo9j6qoNZWxv5nE9yM8gyK/4VFcob5QSXCOVWQWusJiR5/pJz4OMXNN9/eiPyZF81+UjhdtyHYUjmLmlai7r3spsg8VwHW8ZUhQe/YtfNgjxP3p70fYQP9f2YD9oVODAmWsSXFjGz2Lw094DHs9Z0XGbgEKiiIiIuCkgikitUxRoPty6q9hoWLNqCTqGcXRUL9bzlkrtn+cwOZIHR/Lx/F0YJjOLbc/MN8nMc20r/pNdULhffln3UHao9Nye7nFLgAXMyCSwUsrT/ySxbEcDd5gM8nOFTNePK2CH+HluL7rsZ9F0WhERkbpGAVFEaqXhsQ1r5MhXgLXkcZVFKh+kCpwmWfmuRXmKAmRWQeHvfFcAzS44uj2rcHvRPjkOC0fynGQXXs9zgtWSVWYLMhzZfLOpMqGzNKvhCotFgTHQejRAui4b7tsDrUfLBlmP/g70MzxuK7ocaD36Y7X4NoRqaq6IiNQnCogiIjWMn8VwraoaCJRao6LisBRut5OW7hpFNE2TXAdc+WcI2zNLH7fZKDCYC3sb5BS4wmR20U8+ZBeY5BReL/XbAQXOo6OeZSs/YFa2jL+lMCyWCI6e1w2P6wElygVYCn9bXYH06PXCsoXX/S1Ht1kMTc0VEZH6RwFRRKQOMwzXKN6U1q7jNkNycmi9ey9bmsaSFRTEte3jGB5bxjlDKqHAaZYZHnMdrss5hQEzp/B6rqPw9mLbcgpcAbb4bUXXi/bJd7p+yp5yW6QyYbQq5VxhkYikMv9TPr4qiW/+iXaHUX+LK3j6F4bPgGNc9re6QmpREK3ot5/laFitTTTqKiJSeykgiojUA8NjG2LNyqbXOVcSt3sPSU2bsHTaWww9gQ/tfhbDfcqPsp14qDFNkzzn0VBZFCDzHEeDpGvb0aBZtK2oTPGyeYXl8hxl355fdFthKLVay56am2Nms2yfR0ur8qiq/DxYjdKh0c/iCp1+RYHS4trmX3jd32IUu+z68St+vfCyX/HbLa7XtfjtVkuJOorvYwVrnkmuw8TPcE0H1qiriEjtpoAoIlJPDE9Lw757DwBxu/cQnpaGw8dtqohhGO6povbyS1br/TpNk3wnXLGo7Km5TYOD+c8wiztM5jlM8gpHO4vCZ/HLec6j4TPfaZYqUzRKml9YtqD4Pk5wmOBwuEJy5VU9iB7ffqnuSxYDLJFlj7o+8ncS7y6LdodLv7J+DKOMba6QWnK7v8UVnEuXPVpH0e3Wwtvcl0teL3Yf7n0M7y/CpJFXEakJFBBFROoJR7vWOBLisW7aiiMh3nUibimTpTCYFk3NLenqtnGcGls8PJy8IGGaJg7zaFjMLxEo3ZdL3Wa6txWYriBaUKJcgbMwkBb+5BcG2IIybivat6DE/gWFbStwgtME4xijrvlGNltSK3y01fGMVUMdLsXDYtHvsoJk8W3FA6e12G8/i1Fqn+K/d+cd5I+Mje77Lhp5/WO3SfvQmDLrthQGYo96DbAUu+xnKSxX/D4LL5e1vfi+tWWVYgVrkeqlgCgiUl/YbKTP+gzrhi2ucGgrtQKOlHAyT6lSWYZhuEe7Si2OW/6eJ6lFnooviuRwmkxZFMK2I6VHXZvbgnmot4UC0zNsev6YpcJogQmOkuUK63CUdd00Pco6SpQtul7qNtOzjPun2obZK1gVOGoXRhmfymbv28UPKQ2Ou94TURQgLcXCqaXYdfdthmfYLOtymbcbri9jLMWCbMlyxfcPCcqmIN/psX1r9kF+Si4drP/aZ3KKPca9r6u8UapO9+Vi7TIo+/5LPhajgm1GDQ7aCtVSHsORlXTy3lmqoOifi7cV/8dWSmamPkhJtSm3r4lUI/U18aaS/a3kMYhFpia2q1UfQJ2mibNEgCwZKh1m2eGyaDTVM4ya7n1K3u5wwmu7FpYZ9QwMJkT2O3pfxfZ1OM2jQbaMuh3Fw27h9qI2FpVxFu1X7HLRbbWBNepvDL/SX0iY+SE4Urp6v0FlMDgaMEuGR0tlfigMsFSyfJn7HQ3H+wsOsjp3Y6l29rK1pXlgTKl6igJzycdhFL+fktuKbS+5zSj8YsAdoMuo1x22Obq/UfJ+yrhfA8+gXrKOojIBVgjyO3Zw9/X/0XB7+QdVnGwaQTyWzEzso89zT8VKn/WZQqKIiEgFasKoa3UoPrJVPcofRZqTGsKWMkZe40NDuK13tTWi0oqmNjuPETSdRaGyWJmS1x3FrhcU26+oLmexkOssVrejzHLgHxBIVk6uRz2fH8wqM1hb/LMZFW94tMFhmh4huPh9Fb9sHmN78TY6TXDiGaqLrhftY1JYH0cfi+8cvfNjjVYvSd3FonJHq09Oe3zh4lMMrute80Z2awoFxGOwbtiCddNW1+VNW10jid0TfdwqERGRmm94bMNaFwh97eL4so93vTi+mQ9ac3RqMwDWk3pPlS4Zbg8mLd3zfDdLFx47WN/f3/vBuiSzcCS6KCQ6nYVBsmTg5GgwNcsIqyVDqzuQHus2jx/zaD3AY5vKDtVW/2yu72GUqtc0iwVd59Hg6yzZRkrfd/Ftpsc2s9yyJbeZxyhjFnvuytq36PaSdQSe1D5d+ykgHoMWcxARERFvqSsjr95W04J1SYbhWkQICj90+ySYeIbwz/aWHapbhYZwfkffh2rxPQXEY9FiDiIiIuJFGnmtOgXrqqvpoVqqZs2WXUybswSnadK/awKj+3nOeMwvcPDejAXs3HcYW3AgV04aTIOIsHLrrFRAPBl3XCvYbJpWKiIiIlKDKVhXjUJ13eF0Ovl01mJuumAkkfYQHn/nOxITmtMkJsJdZuHfmwgJCuDha89k6ZqtfD3vL66aPKTceisMiCfrjkVERERExPsUquuG7XsO0TAqjJhI18Bcr46tWLVxp0dOW7VpJ2cM7ApA9w4t+Wz2YkzTLPf0KxUGxJN1xyUZhoE9zDejjr5eSlbqD/U18Rb1NfEm9TfxFvU18RZf9bWkvfu548Xp7utjB3Zh3KBuZZZNycgiMuzoYXARdhvbdh/0KJOakUWk3VXGarEQHBhAZnYuoSFBx2xDhQHxZN0xwMz5K/h+wUoAHrt2YkVNERERERERqbPstmBeu2eKT9vg00Vqxg3q5k7EaenpPjkhpa9PhCn1h/qaeIv6mniT+pt4i/qaeEtt6WuRYSGkZGS6r6emZxIZFuJRJiIshJT0TCLtNhxOJ9m5ediCA8utt8K1bKtyx0Cl71hERERERESOT4smDTiQnM6h1AwKHA6Wrt1GYts4jzKJCXEsWrUZgOXrttOuZWyFhwFWGBBP1h2LiIiIiIjI8bFaLJw7qg8vfDqXqa99Q48OLWkSE8mM31awcuNOAPp3TSAzO5f7XvmKnxavZdLQHhXWaziyksyKCq3evIsv5i7B6TTp16UNYwZ0YcZvK2gRG02Xts3JLyjg3W8XkLQ/mZAg12kuiha1qSxfDePWliFkqf3U18Rb1NfEm9TfxFvU18RbfN3XfL0YU6UCojcoIEpdp74m3qK+Jt6k/ibeor4m3uLrvqaAWMhXL4LD4cRqrXCmrcgJU18Tb1FfE29SfxNvUV8Tb/F1X1NA9LF/Pfqez5eSlfpBfU28RX1NvEn9TbxFfU28pb73NX0NIyIiIiIiIoACooiIiIiIiBSq9wFx7MAuvm6C1BPqa+It6mviTepv4i3qa+It9b2v1ftjEEVERERERMSl3o8gioiIiIiIiIsCooiIiIiIiAAKiCIiIiIiIlJIAVFEREREREQABUQREREREREp5OfrBvjKmi27mDZnCU7TpH/XBEb3S/R1k6QWS07P5L0ZC0jPzMbAYEC3tgzr3ZHM7Fze/PpXDqceIToilKsmDcEWHIhpmkybs4R/tuwiwN+PS88YQPPYaF8/DKlFnE4nj7/zHRFhIVx37nAOpWbw1te/kZmdS/PG0Vw2YSB+Viv5BQ7em7GAnfsOYwsO5MpJg2kQEebr5kstkpWTy4ff/8GegykYGFxyRn8aRYfrvU2q3U+L17Dw700YBjSJieTScf1JO5Kt9zapFh/M/J3Vm3cRZgvi/qsnAhzX57RFqzbzw+8rARgzoAt9E9v46BGdPPVyBNHpdPLprMVcf94IHrhmIkvXbGPPwVRfN0tqMathcNawXky9ZhJ3TBnLb3+tZ8/BVGb9sZr2LWN5+Nozad8yltmLVgPwz5bdHEhO56F/T+bCMX35ZNYiHz8CqW3mLV1H4wbh7uvT5/3FsN4defjaMwkJCmDh35sAWPj3JkKCAnj42jMZ1rsjX8/7y1dNllpq2pwlnBLflAf/NZl7rxpP4wbhem+TapeSnskvS9dx1+VncP/VE3GaJkvXbNN7m1Sbvl3acMN5Izy2VfW9LDM7l+8X/M2dl53BnZedwfcL/iYzO9frj+Vkq5cBcfueQzSMCiMmMgw/q5VeHVuxauNOXzdLarHwsBD3N0tBgf40jg4nNSOLVRt30rez65ulvp3bsHKDq5+t2riTPomtMQyD+KYNyc7JIy0jy2ftl9olJT2T1Zt30b9rWwBM02TD9r1079ASgL6JbVhZ+J62atNO97eb3Tu0ZP32vZimTn8rlZOdk8emnfvp3zUBAD+rlZCgQL23yUnhdDrJL3DgcDrJzy8gPDRE721SbRKaNyYkOMBjW1Xfy9Zu3U2HVk2wBQdiCw6kQ6smrN262+uP5WSrl1NMUzKyiAyzua9H2G1s233Qhy2SuuRQagZJ+5Np1bQB6ZnZhIeFAGAPDSY9MxuA1IwsIu2efTA1I8tdVqQ80+YuYfJpPcjJywdc32iGBAVgtbi+8yvqT+DZ16wWC8GBAWRm5xIaEuSbxkutcig1g9CQIN7/7nd270+heeNozhnZW+9tUu0i7TaG9+nE3S9+gb+/lQ6tmtIiNlrvbXJSVfW9LKXk9jAbKXXwS7B6OYIocrLk5OXzxle/cs6I3gQHen5LZRgGhmH4qGVSV6zalERYSBAtYhv4uilSDzidJkn7DjO4e3vuuXI8AQF+zP5jtUcZvbdJdcjMzmXVxp08ct1ZPHnjueTl57NmS90bmZGaS+9lR9XLEcTIsBBSMjLd11PTM4nUt5tyghwOJ2989Qu9O8XTrX0LAOy2YNIKvz1Py8girPCbzYiwEFLSPftghPqgVMKWXQdYtSmJf7bsoqDAQXZuPp/PWUJWTh4OpxOrxeLRn4r6WqTdhsPpJDs3D1twoI8fhdQWEfYQIuwhtGoaA0D39i2Z/cdqvbdJtVu/fS/REWGE2Vx9qVu7FmzZdUDvbXJSVfW9LDIshI079h3dnpFJ2xaNvd7uk61ejiC2aNKAA8npHErNoMDhYOnabSS2jfN1s6QWM02TD75fSOPocIafeop7e2LbOBat3gzAotWbSWzb3LU9IY4/V23BNE227j5AUGCApmBJpUwa2oMnbjyHx64/mysmDaZ9y1iumDiIdi0as3zddsC1wlpiwtG+tmiVqw8uX7eddi1j9Q2pVFp4aAhRdhv7DqcBsH77HmJjwvXeJtUuqvBwn7z8AkzTZP32vcQ2iNB7m5xUVX0v6xjflLVb95CZnUtmdi5rt+6hY3xTXz6Ek8JwZCXVyyN6V2/exRdzl+B0mvTr0oYxA7r4uklSi21O2s/TH/xI04aRFP17mjC0B62aNODNr38jOe0I0eGhXDX56PLJn81ezJotuwnwt3LpGQNo0URTBqVqNuzYy09/ruG6c4dzMMV1mousnFziGkVx2YRB+PtZyS8o4N1vF5C0P5mQINdS8DGRWgpeKi9p32E+/P4PHE4nDSJCueSMAZimqfc2qXYzf1vBsnXbsFosxDWK4qKx/UnNyNJ7m1SLt77+jY079nEkOwe7LZhxg7rSpW3zKr+XLfx7E7P+WAXA6f0T6dclwZcP66SotwFRREREREREPNXLKaYiIiIiIiJSmgKiiIiIiIiIAAqIIiIiIiIiUkgBUURERERERAAFRBERERERESmkgCgiIiIiIiKAAqKIiIiIiIgUUkAUERERERERAP4fVSot9C3qVaYAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1080x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p_range = list(range(10, 1000, 10))\n",
"derived = [evaluate(.95, .95, x) for x in p_range]\n",
"\n",
"e_range = list(range(10, 1000, 100))\n",
"estimates = [estimate(100000, .95, .95, x) for x in e_range]\n",
"errors = [abs_err(evaluate(.95, .95, i), x) for (i, x) in zip(e_range, estimates)]\n",
"\n",
"show_variation(\n",
" \"P(first person caught by scanner is a terrorist) vs Size of aeroplane\",\n",
" (p_range, derived), \n",
" (e_range, estimates, errors),\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": "3.8.9"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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