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@arogozhnikov
Created November 12, 2014 12:24
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{
"metadata": {
"name": "",
"signature": "sha256:89571e6851e0b62af9ce7df65b3dacb0aa60bddd09ee9415ac5dd9bd9c472cd4"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# This notebook is about methods of 2-samples testing"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy\n",
"from sklearn.metrics import roc_curve, roc_auc_score\n",
"from scipy.stats import ks_2samp\n",
"from hep_ml.metrics import cvm_2samp"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# this function generate distributions we compare, \n",
"# H_0 : mean=0, var=1\n",
"# H_1 : mean=mean_shift, var=1 \n",
"def generate_distributions(n_samples1, n_samples2, mean_shift):\n",
" data1 = numpy.random.normal(0, 1, size=n_samples1)\n",
" data2_hyp0 = numpy.random.normal(0, 1, size=n_samples2)\n",
" data2_hyp1 = numpy.random.normal(mean_shift, 1, size=n_samples2)\n",
" return data1, data2_hyp0, data2_hyp1"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<!---\n",
"# this function generate distributions we compare, \n",
"# H_0 : exp(-x)\n",
"# H_1 : exp(-1.1x)\n",
"def generate_distributions(n_samples1, n_samples2, mean_shift):\n",
" # mean_shift is ignored\n",
" data1 = numpy.random.exponential(1, size=n_samples1)\n",
" data2_hyp0 = numpy.random.normal(1, size=n_samples2)\n",
" data2_hyp1 = numpy.random.normal(1.1, size=n_samples2)\n",
" return data1, data2_hyp0, data2_hyp1\n",
" -->"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Function to build ROC for abstract test function"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def roc_for_test(test_function, n_experiments=3000, mean_shift=0.1, label=''):\n",
" test_values_hyp0 = []\n",
" test_values_hyp1 = []\n",
" for _ in range(n_experiments):\n",
" data1, data2_hyp0, data2_hyp1 = generate_distributions(n_samples1=1000, n_samples2=1000, mean_shift=mean_shift)\n",
" test_values_hyp0.append(test_function(data1, data2_hyp0))\n",
" test_values_hyp1.append(test_function(data1, data2_hyp1))\n",
" test_values = test_values_hyp0 + test_values_hyp1\n",
" labels = [0] * n_experiments + [1] * n_experiments\n",
" fpr, tpr, _ = roc_curve(labels, test_values)\n",
" plot(fpr, tpr, label=label)\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# ROC curves for different tests"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Difference of means (the most poweful for gaussian distibutions)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"roc_for_test(lambda x, y: numpy.mean(y) - numpy.mean(x))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x1077acf50>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Kolmogorov-Smirnov (unbinned, of course)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"roc_for_test(lambda x, y: ks_2samp(x, y)[0])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x1079162d0>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## One-sided KS\n",
"not $\\max |F_1(x) - F_2(x)|$, but $\\max (F_1(x) - F_2(x))$\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def one_sided_KS(x, y):\n",
" labels = [0] * len(x) + [1] * len(y)\n",
" data = numpy.concatenate([x, y])\n",
" fpr, tpr, _ = roc_curve(labels, data)\n",
" return numpy.max(tpr - fpr)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"roc_for_test(one_sided_KS)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x104604590>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Cramer-von Mises"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"roc_for_test(cvm_2samp)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x1079cc710>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ROC AUC (probably best general-purpose one-sided test)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def roc_auc_2samp(x, y):\n",
" labels = [0] * len(x) + [1] * len(y)\n",
" data = numpy.concatenate([x, y])\n",
" return roc_auc_score(labels, data)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"roc_for_test(roc_auc_2samp)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x10794c310>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Binned $\\chi^2$\n",
"version with edges of bins taken as percentiles of first distribution"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def binned_chi2_percentiles(x, y, n_bins=10):\n",
" edges = numpy.percentile(x, list(numpy.linspace(0, 100, n_bins + 1)[1:-1]) )\n",
" # adding leftmost and rightmost edges\n",
" edges = [-100] + list(edges) + [100]\n",
" # first split into bins, the splitting is even in predictions\n",
" hist1, _ = numpy.histogram(x, bins=edges)\n",
" hist2, _ = numpy.histogram(y, bins=edges)\n",
" result = numpy.sum((hist1 - hist2) ** 2 / (hist1 + hist2 + 1e-100))\n",
" assert numpy.isfinite(result), (result, hist1, hist2, edges, list(numpy.linspace(0, 1, n_bins + 1)[1:-1]))\n",
" # equivalent in our case to Binned Chi2\n",
" return result"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figure(figsize=[14, 7])\n",
"roc_for_test(lambda x, y: ks_2samp(x, y)[0], label='KS')\n",
"roc_for_test(lambda x, y: binned_chi2_percentiles(x, y, n_bins=2), label='$\\chi^2$, 2 bins')\n",
"roc_for_test(lambda x, y: binned_chi2_percentiles(x, y, n_bins=3), label='$\\chi^2$, 3 bins')\n",
"roc_for_test(lambda x, y: binned_chi2_percentiles(x, y, n_bins=4), label='$\\chi^2$, 4 bins')\n",
"roc_for_test(lambda x, y: binned_chi2_percentiles(x, y, n_bins=6), label='$\\chi^2$, 6 bins')\n",
"roc_for_test(lambda x, y: binned_chi2_percentiles(x, y, n_bins=10), label='$\\chi^2$, 10 bins')\n",
"legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 12,
"text": [
"<matplotlib.legend.Legend at 0x107a71d10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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cOZO1a9eyZMmS0zqOoUY71IiJnoIgCMK4FwppPS4jVV1cruHB5bLLtMszXnVJ\np7V5bU1N2upi4bC2p0skAgcOwEcfQTCo7QUTjw+uFGCxaE37wSCZ/FzazzuLN1ZO4R19Cx8GdrCz\n63kKHAXUpGqo0dfw9blfpya/hhJ3GSFZ5uXeXupjMerTaR7c38p5rgxriorw9lViHHo9+SbTEUsj\nnyolo9DxeAfdf+0m3Z0m9G5o4D7fbT6qflE1qq93qlRVpbn55wSDG4lGa4nH9w7cl5V1IS7XQtzu\nJUiSAat1MlZr1bitJAkT37e//W0Adu7cSUVFxQk/PpVKcdNNN/H666/T29vL5MmTue+++7j44otH\nPF+SpI/9ed6+ffsJj2G8EaFGEARBGHOZjFZx2b9/+HHggHYZi2k9Lv3TxC69FL7zHe36mFVdVBXe\nfRdeflnb4+Uf/9DCSWWltgml1aqlq+xs7Vi5Ej77WTCbUSxm9iXaBqoudZ111LbX0hPfxcw8PTUO\nLzX5C/lKwY2clXcWTrOTvbEYH4bDPNvby//Z10NtpJH+v3Eu83iotFpZN20aXy0oOC1vt+svXey/\nYz/xhjjmYjPJZm2DzqwLs/Dd7KP0e6W4znNhcBrQmcdmDp8sx8hk/AO3FSVFS8uDZDJ+urr+jCxH\nKCj4Z4qKbsbtPg+LZTJGYzaSNF7mHAqfNs888wx33nnnCT8uk8lQWlrKhg0bKC0t5YUXXuCqq65i\n27ZtlJWVnYaRjn9i+pkgCIJwRvj9R4aW/uBy6JC2atikSYNHRcXg9by8MWzQV1WtVKQocP/9WpN+\nT4+2YWVJCVx0EVx+ubbi2FlnHfHwcDLMts5t1LbXaiGmo5btndvxWr3Myp9FTX4NNQU11OTXMDl7\nMjpJR1pR2BGNogKd6TTPdXeztrWVz3m96CWJKquV24qL8ZnNJ/ZWFJVIbQSA6I4oqZYU9LXLKFGF\n6PYova/0Yiocvk9NYl8CNaPiWeah4p4KzKVmJJ2Eqch0xqsZqqoQjzcQDm9BpzMSj+8nEtlCZ+cf\nANDpLBgM2QBkMr0oSoLi4m9hMHgoLPw6ZnPRGR2vcPpM5OlnAM899xzLli2jvb2dqqpTr2zW1NRw\n99138/nPf/6I+yoqKlizZg2/+93vaGtr44orruChhx7C3Pd/SHl5Ob/97W9Zvnw55eXl3HrrrTz+\n+OM0NjZy8cUXs27duoFzf/KTn/CrX/2KUChEUVERa9euZfny5Sc8XtFTIwiCIIxLqZQ282qk4LJ/\nv5YNhoYiQQ1lAAAgAElEQVSWoeGlrEzbMmVcUFVob4cXXoCnn4a6OggEtDc4aRL88peQm6sthVZS\nMvCwRCbBnp497OzayY7OHezo2kFdRx1tkTZm5M7QwktfgJmVPwuPxYOqqmyJRPgwHGZbNEpDLEZv\nJsO2aJSEojDb4cCt11PjcDDb4eBrhYXH/TZC74c48O8H8L/uBxkMHgOZQAYAx2wHmUAGY54R9+K+\n/hAV1JSKY64D17lHlr/MRWYMrjM3wUNVFaLRnXR1PYksR0mnO+noeAKQATAa83C7P4OqpgEdXu+l\nFBT8EzrdyBuHCp88EznUPP3009x33314PB7OP//8k6rWDNXR0UF5eTm1tbVMmTLliPvLy8txuVys\nX78em83GqlWrWLZsGffccw+ghZ5HH310INQUFBTw7LPPYjabWbRoEd/85jdZs2YN9fX1XHjhhWza\ntImCggKamprIZDJMmjTphMcsemoEQRCEMaGqWh/70GlhQ4/2dm3vlqGBZf78wetZWWNYbRmJomjV\nltZWbaPK99/XLuvqtI1mioq01cZ++Utt7lvf4GPpGPXd9ezs2sDOPTvZ0bWDnV07ORQ6xKSsSczI\nncGMnBl8qfpL3Lv8Xqq8VfgzCrtjMV7q7eXtSBxLrI03ArvwZzLEZJkv5eXh0Ospt1j4QX4+boOB\nGTbbEcsjH42qqkR3RIntihHfEyfdm6b5580YvAamPz4d1zkuDFnar3yD2zDumvaTyRaamn5KJPIR\nkcg2VDWDomh735jNpTidZ+NyLaSi4j/Iz78Os7lYTBkTxr2mpiY2btzIY489xrp168jvW6DjiSee\nYPXq1axevXpUXiedTnPttddy/fXXjxhoQAsKt9xyCz6fD4A777yTW2+9dSDUHH7ubbfdRkHfVNZV\nq1axdetWAPR6Pclkkh07duD1eiktLR2V9zAaRKgRBEEQRuT3w6ZN2lYo772nfebX64dPCzvnHPjy\nl7XrJSVgGC+/VdrbtdXD/H6tfLRtm7Yp5VC1tdo5FRXaUVoKy5bBxRdDfj6RVITd3bvZ2fUuO19/\nRKvAdO2gNdxKVXaVFl5yZ3DdrOuYkTuDquwqkqrEwUSCN4NB/hII8JPGKFt2vA2A12DAZzZzttPJ\nYo+Hy3NyWOx2k2M0nvQUrs4/ddJ4XyPRWi0AmApNWKdYsU6yUvGjCkq/Xzoum90VJUVX11PEYvX4\n/a8SCm0EoLj4WxQW3ojLtQC93oXZfPyVKUEYifR/RufnX/3hiVeESktLKS0tpaGhgV/84hf86Ec/\n4sknn+TSSy/FYrGMyrgUReErX/kKFouFX//61x97bsmQynJpaSmtra1HPbdgSG+e1WodOLeyspIH\nHniAu+++mx07dnDRRRfx85//nMITqCKfLuPl148gCIIwhmQZtm/Xwkv/0dKiVVrOOQduvhnWrdP6\nXsYFVdWmg6mqVmlpbISdO7X7Oju16kpFhbaKQGmp1uvicAx/jtmz4YtfJGw3srNrZ9+xnZ2v/5md\nXTvpiHQwxTuF6rxqZuTM4Guzv8aM3BlMzp6MQWcgpSi8EQggqyrPR6P87L1NdKfTTLJYiMoySzwe\nbigsZKrVelJ7vRxNoilB63+30vpQK5lABtciF7NenYVrodakP56FQh/S1vYb2toeAcDrvRyHYw4l\nJbeTm3vFGI9O+CQ6mTAy2m688UYWLFjAwoULWbFiBW736CwJrqoqN9xwA11dXbz44ovoj/F/TFNT\n07DrRUXH1192+B9GrrnmGq655hrC4TBr1qzhe9/7Ho8//viJv4FRNr7/9xMEQRBOi87O4QHmww+1\nqWPnnKMd3/oWVFePo8pLJAK9vVrZ6Le/hVde0b5uMmmrCNjtWmNOZaVWTnr7be0NDJGW0+zu3j2w\n4ti2zm3sXHcvPfEepuVMY0buDKpzq1kzbw0zcmdQ4amgI53hme5umhIJnkomaWuOk2qqozudpr5v\nn5mLs7PpSadZ4nZzZ1kZc53OU3qrclwm3Z0m1ZpCSSgoCYWuv3QRfCuIHJdJNiYxFZjIvSqXsjvL\nsJSOzl98T6eOjidoaLiNTKYHi6WcSZN+is93M3q9bayHJginXV5eHnl5eZjNZrKzs4/7cddffz2S\nJPHYY4+NeP9NN93E7t27ee211waa+I9GVVUefPBBLrvsMqxWK/feey9XX331cY1jaN/Lnj17aG5u\nZtGiRZjNZiwWy7jpaxovv64EQRCE0ySV0mZa9QeYjRu1WVkLF2oB5vbbYcECbdXhccXvh9dfh1tv\nHWzYKSzUVhv72tfgc58D28gfigOJALUH32Rr+1ZqO2rZ2r6V3d27KXWXUlNQw+z82dyy4Baqc6sp\n85Sh6+vPiMoyGwIBHuju4cG6twDIMxq52edjZXY2RSYT1r4+F4dezxSbDdspVmB61vfQ8bsOotui\nRLdr08gkg/aXUfssu3ZdhexLsslZnYPZZ8ZaYT2l1xxNipJGlrU9amQ5Qji8mUikFr3eSk/Pi0Qi\ntchyEK/3ciZNuhe7vfoYzygInyzr16/n0ksv5fnnnz/qPjIjaW5u5pprrhnxvsbGRh5++GEsFsuw\nqWIPP/zwiI+RJIlrr72WlStX0trayhVXXMFdd911XOMYusdNMpnkjjvuYNeuXRiNRhYtWsTDDz98\n3O/pdBKrnwmCIHzCNDcPhpf33oOtW7UCRn8V5txzYcqUM7wx5fHw+7WS0d//ru2s+dxzMG+etinN\nLbeA13vEQxRV4WDgoBZe2mvZ2rG1b7+XHs7KO4vZBbOpya9hdsFsZubNxGCw0pJMciCRIKEoAHSk\nUjzR0cHuWIyWVAqAK3NzuSQ7m9U5OXhGe9PKpIKqqkQ2R9iyaAsA7iVu3IvdZF2QhXOec9xOI1OU\nFKqaIZE4yKFDP6e9/dGB+wyGbDKZXiTJjN1ejcezDEmS8HiW43DMwWw+PfvnCJ9eE2H1s5deeonp\n06fj8Xiorq6mvr4eu91+zMelUinmzJlDXV3dMaeVTVRiSWdBEAQB0NpJ2tq0VpKtWwcrMamUFlz6\nQ8z8+XCKM6JGX0eHFlw6OrQQ89e/atWYpUu16WRf+II26EsuGVh1LJ6Os71z+0DlpbajlrqOOlxm\n17Dw0r/fi6LCL1taeLi1lWyjkcZEgta+0FJoMlFsNpNrNGLX6znb6eTCrCym2mxYT8MHCCWpEN8b\np/U3rbT8qgXJLKEmVeyz7Mx6eRbmgvGynvXIVFVm27bL6e19YeBrOp2V4uLvUFp6OwbDWO2AKnya\njfdQs2HDBoqKiqisrATg17/+NQcOHGDZsmVcdtllYzy6sSdCjSAIwqeMqmrVl507B48dO7RLsxlm\nzND64PtDTEXFOFs6uZ+iwJe+BE89pd0+7zwtwCxerM1/mz8f+lYECiQCfNDyAZvbNg+EmAOBA0z1\nTh2YPta/YaXXNljBSSkK/9+hQ/gzGf7/tjYCmQw/njSJxX2NueUWC0WneUOcxKEE8T1xmn7aRKY3\ngxJXBqaVWcotlH6/lKI143sDyEwmQm3tCiKRWszmYhKJfQBMm7aOgoKvjvHoBEEz3kON8PFEqBEE\nQfiEUhQ4dGgwsAw97Hat733GjOFHTs5Yj/ow8bhWgXnpJW0N6H579sCuXWA0whNPwOrVA/Pf0nKa\nuo463m95Xzua36cl3MLcwrnMK5w3UIGZnjsdk17bWHF3NMqbwSBJRUFRVd4Ph9kbj/NhOAzA1wsL\nWehycXVeHvZRrrzED8YHQkq/8PthYg0x5KBM70u96Ow6LKUWfLf5sE62onfocZ7tRGcYb3P+NLIc\nJ5E4SHf307S0PEgq1QbArFmvYLFUoNNZMJt943J5aOHTS4SaiU2EGkEQhAlOUbQ9Hg+vuuzaBR6P\nFlaGBpjp08dhE//h3nkH7r8f/vIXsFrhyivhs58dqLxgNMLs2aj5+RwMHxoIL5taN7G1fSsVngoW\n+haysHghC30LqfBOozej0JRMsikU4pG2NhqTSVRVJdn3u2S6zcZUm40Ss5n8vulki91uyiwW9KP8\n4TvRnKB1bSvR7VF6nu/B5DPhmD24RLSSUDBmG3EvcmOZbCH7omx0xvEZYADS6V6i0Z1EIltoavoJ\nqVQLAJJkJCfnCny+W3G7PyNCjDCuiVAzsYlQIwiCMEHIMhw4cGTlZfdurcIytOJSXa2Fl1HavuDM\n2LsXNm/W3tSvfgX/+Z9wzTVaMuvTP41saBXGoDMMhJeFvoVU5M6mQ9FrFZdQiPfDYf7Y2YlNp0NW\nVS7xejFIEtfm5THP6cQoSWQbjZhO80oHSkohsjVC60OttP9PO3qXnoKvFuA6x0X+teNlw54TE4vV\n09BwC37/awDYbNOx22dSWnoHTuecMR6dIJwYEWomNhFqBEEQxqH+vpehe79s3aq1jIxUeRl3jfvH\nEotpqxLcf7+2D8ymTdqbXLxYa+S56iois6ZR11HHlrYtbGrdNGwa2ULfQhb4FrDQt5BiVzGd6TRv\nBQK8FQzyy5YWdMB8p5Nqu518k4lCk4nbiovPyFtTFZVkc5J0d5rAPwKEt4Tp+lMXakb7nWUqMJF3\ndR6TfjwJnXn8Vl9kOQHIJJOtKEpyyNcjtLc/SlfXU2QyAfR6BzNm/BGv99KxG6wgjAIRaiY2EWoE\nQRDGgVgMPvpoeIjJZAab9cftqmMnIp2Gm2/Wllbu7ISSEsjJQf3ylwlaYEehgTdzo2zta+RvDjVT\nnVfN7PzZnO07m4W+hVTnVWPQDS5P/GJPD5du2waAhNb7kms0cnd5OYYzuMZ0pC5C+/+0k2xN0ru+\nFzkkY8g2oLfpccxx4DrPRe7nc7FWWpH0428KVjD4Hg0NNxGJbMVozEVRUshyEJ3OiqLEsdkG94KR\n5SCqqpKb+wUKCv4Jp3PuGI5cEEaPCDUTmwg1giAIZ5iqQkPDYHh5/31tCtnMmcNDTHn5OF117Fh6\neuAPf4CuLtiwQWv48fshGERd/BkOfu8bbMpJ8lFoN1vbt7K1fSsqKnMK5jC7YPbAMcU7ZViAkVWV\nzeEwsqry8+ZmnuzqAuAWn4/7KipwGM7sXizpQJquJ7vo+nMX/tf8mMvMFH29CL1DT96X8zDlms7o\neI5FUTJkMj2k070EAm/i979MKtVJKPQuABbLZCZP/ilu9yIAdDobBoPj455SED5RRKiZ2ESoEQRB\nOM0CgcHZVf0hxumEhQsHA8ycOYM98BNGOg0vvKD1wrS0aL0wzc2wbx9Mnkzqc5eyb0ouH2XF2Rxp\n4O14PTu6duBz+oaFl9kFsyl0FB7RRK6oKr/v6GBDMMjOaJR3QyHsOh0z7XbaUiluKiri+2VlZ+St\nZkIZEgcTxHbFaPzPxmGrleVemUvO6hzyrxnbvhhFSROL7QJUWloeRKczE4nUEgy+dcS5er0bl2sB\nublfwG6fORBkBOHTTISaiU2EGkEQhFGUyWiN/P3h5b33tGWV580bDDALF0Jh4ViP9BSlUloT/5tv\nkrz2ajrdRppcCtu8Mu9Jzbwb3klLuIXq3Oph4eWsvLNwmrU5dKqq0phIIAPvBoPEFIV98ThNiQQA\nf+qrxKzweLjE6+Vyr5fJVutpXUFLVVSi26K0PdJGsi1JbGcMySgRrdNCjMFjwDrFStkPysj+7Niv\nSKaqKj09f2P//tuJxXYDYLNVk0q1UFz8bSTJiM02laysC5AkAzrd6f3+CcJEJkLNxCZCjSAIwkmS\nZaiv13phPvxQu9y6FYqLh08jmzkTzvDMqNGlqsQ+eo+Obe+RfPsNCl/YgLsjQF2lk6uvNdNkilOZ\nXUmVt4qq7Cpm5s0ccfqYqqr8IxCgJZlkezTKfx06BIDPZMJtMLDI7SbXaKTabkcHJFWVlVlZFJ7m\nzS0BlLRC7YW1BN8MAmAqMpFzeQ6uhS6sU63ojDoccxxIurELBLIcp6vrz/j9/6C39wUUJYmipFDV\nJA7HPCZP/i/c7sXodMYxG6MgTGQi1ExsItQIgiAcB1nW9nv86KPBELN1K+Tna1WY+fO1y7lzh61A\nPKHE0jH29e6jobeBfR27Ce3YzIr/eZNZO3swyCq1lQ5aphcTr6lGt/R8ykvOospbNeLUsZSikFAU\n1vf28lYgwJNdXXSm0wAsdDopt1gotVi4q6wM1xgkPiWl0PtyL6qs0vtSL22/0TaHnP6H6eRfPb6W\nVw6Ht7Jz51XE4w0AZGdfgs02nby8qzEaczEaszEYXGM8SkGY+ESomdhEqBEEQTiMomiN/P3Vl/4A\nk5t7ZIDJyhrr0Z6YtJxmf89eDtVuIPXWG+h37MLTcIhuKU5cTjK7x4DBaKb8UJi4245ebyDy79/H\n87Wb0LlG3vSmM5XiH4EABxMJOlIpmpNJ/tbTgw5IqyrfKi4m22hkZVYWNQ4HujM0/Sm+P07v+l4i\ntRGSzUnkiEy6K43OriPyUQQA7+Ve1JSKe4kb300+DO6xL6mpqoqqynR2/pGOjsfx+1/FaMyjuvop\nPJ7FYz08QfjEmsihpqGhge3bt1NXV8eqVauYO/fTtyqhCDWCIHyqKYrW594fYD76SNv/MSdHCy79\nIWbuXMjOHuvRHh9VVemOdVPfU099dz1tez5Ct+kDHPUHiEYD/PMWyA/JtFTkEK0sQz9lKs4555Bj\nz0WXTkNlpfZmp0494rmbEgneDQZZ39uL2nf7zWAQu07HPxcW4jObKTGbKbNYWHSGdv5UMgrpzvTA\n7diuGP7X/DT9uAn04FniwbPcg22KDZ1Fh6nQhGSUsE2zobfoz8gYh41XyZBI7CMUeo+enhf6+lwG\ne3Pa2/9n4LrHswKf72Zyc1ef8XEKwqfNRA41999/P4sWLWL69OmsWbOGJ5544rS+Xnl5OY8++igr\nVqwY8f6ZM2eydu1alixZclrHMdRoh5qx/xOXIAjCUSiKtjDX0B6YzZu1z+/9AebOO7UA4/WO9WiP\nLZlJss+/j/rueup76tndvXsgyCiqwt1b3NzydDNpi4nwjEo4bzXZ9hwM31oA8+fjO4HNKJsSCf6n\nvZ0fHjyITadjlsPBCo+H8z0ebvb5+HxODsbTtC+MklSQozL+1/yku9JEtkUIfxgmsS+BZJBId2uB\nxlSoLaGcakthnWLFd4uPST+dNCbBZSSqqrJv33dpbr4fAL3eicNRg9d7GUZj3sB5Ltc5FBRcj053\n+nuJBEH4ZPj2t78NwM6dO6moqDip57juuut4/fXXiUaj5OTkcMMNN3DnnXeOeK4kSR+76Mj27dtP\nagzjiQg1giCMG+k0vPIKvPHGYIDxeAYDzB13aAEmJ2esR3p0qqrSEe0YCC713fXs7tlNfXc9h0KH\nKHOXUe2pYvVuHVd+2IEHM0792Zh27EYCeOU1DEuWYNWf3Af71mSSi+rq2B6NssDp5K6yMv6trAzT\naQgwqqpy4N8O0LGuA71TDxLEdsaGneO9zItkkvAs8ZD1n1lYyiwYs40Y84zjdlUvRclQX//P+P2v\nkUq1UVn5AIWFa9DrJ9oa3oIgjHfPPPPMUYPIsdxxxx088sgjWCwW6uvrWbp0KfPmzePiiy8e5VFO\nDCLUCIIwplQVNm6E//t/4ckntRlUl1wC3/ueFmByc8d6hEenqAr7/fvZ3LaZzW2b2dK+hc1tm1FU\nhWk505jqncpU71QWly2mOuag4m/vYHj+HXj1RZg8GWpqYPlyKCrSllyrrDzp3TvbkkkurK1lRyyG\nU69n45w5nHMap5PF6mNsPmczmUAG360+cq/KRWfRobfpMRebMbgmzq8XVVVJpdpIpdrp6nqKpqb7\nACgr+yEFBV/Bap08xiMUBOGT6LnnnuO2226jpaWFqqqqE358dXX1sNsGg4G8vLyjnA2bNm3i1ltv\npa2tjSuuuIKHHnoIc99qleXl5fz2t79l+fLllJeXc+utt/L444/T2NjIxRdfzLp16wbO/clPfsKv\nfvUrQqEQRUVFrF27luXLl5/w+Eeb6KkRBGFM7N4Nv/+9dlgscN118OUvQ3n5WI9sZLIiU99TPxBg\n+kOM2+xmbuHcYcfA6mJdXXD//VoT0FNPwb/+q7ZSwcqV8JnPjMq4ft/RwU+amtgWjVJmNvPn6moW\nuEZ/ZS1VUel9pZfgW0G6n+4mtjuGzqpj1suz8CyeOMvHyXKC3t71JJMtKEqcRKKR1tYHAZAkA3q9\ng5ycK6isfACD4cz0GAmCcHImck/N008/zX333YfH4+H8888/6WrNzTffzLp160gmk/z617/mG9/4\nxojnlZeX43K5WL9+PTabjVWrVrFs2TLuueceACoqKnj00UcHQk1BQQHPPvssZrOZRYsW8c1vfpM1\na9ZQX1/PhRdeyKZNmygoKKCpqYlMJsOkSZNOeOyip0YQhAmrrQ3++EctyLS2antB/uUvMHv2SRco\nTouUnGJH547BANO+mbqOOoqcRcwtnMucgjn8YPEPmFMwh1z7kFKSqmrz537/fdi2DQ4c0ObPrVgB\nr72mVWVOkaqq/KGzk38EArzQ00NbKsVtPh+/mz6dWXb7qEzpUhUV/9/99K7vJXEgQaQuQmKftsGm\n+zNuXOe6mPHHGThqHKf8WmdSPH6A99/XfvF6vZ9DkoxYLGWUlv6A0tLbRYgRBGFUNTU1sXHjRh57\n7DHWrVtHfr62/PwTTzzB6tWrWb361BcUWbt2LQ8++CBvvvkmV155JXPnzmXBggVHnCdJErfccgs+\nnw+AO++8k1tvvXUg1Bx+7m233UZBQQEAq1atYuvWrQDo9XqSySQ7duzA6/VSWlp6yu9htIhQIwjC\naRUOwzPPaNPLPvgArrgCfvxjWLYMTrJtZFQlMgm2tm9lS9uWgQCzq2sXFVkVWuWlYC5XVV/F7ILZ\nuC0jfOjtX0/6xz+GZ5+FYBC+8AW46y6tIuN0jso4U4rCI21t/GuDtvfJMo+Hf/X5uNzrZaZjdMJF\nrCHGB9UfoKa1v5w55jnIuTwH7+e8OGY5cNQ4kPTjKH0eg6rKhELv4/e/RlPTf6EoUQwGL2efvR2z\nuWCshycIwpkwWn8xO4mKUGlpKaWlpTQ0NPCLX/yCH/3oRzz55JNceumlWCyj16MnSRLnn38+X/zi\nF/nDH/4wYqgBKCkpGTa21tbWoz5nf6ABsFqtA+dWVlbywAMPcPfdd7Njxw4uuugifv7zn1NYWDhK\n7+bkiVAjCMKoS6fh5Ze1IPPSS7BkCfzLv8Bf/wpW69iOLZwMs7F5IxsaN/Bm45tsbtvMFO8U5hXO\nY27hXG6YewOz8mdhM9qOfLAsa8msuVn7BReNwm9+oy3RNm8ePPSQFmRGcS3pv/v93NPYyBuBAADL\nPR5eOOssLKOUCFVVpee5HrZfoa18Yy42U/N6DdYq67ht5D8emUyE7dtXEQi8gcMxh6ys5VRW/gKr\n9eRWGRIEYYIaB9PTbrzxRhYsWMDChQtZsWIF7tPU75hOp/F+zFKgTU1Nw64XFRUd1/Me/rvgmmuu\n4ZprriEcDrNmzRq+973v8fjjj5/coEeRCDWCIIyK/ob/3/8e/vxnreH/uuvgwQfHdrllf9zPW01v\nsaFxAxsaN7CjawfzCuexpGwJ/7bk3zi3+Fyc5mNUU0IheOAB+OEPtdurV4NOB2YzrFkDX/2qdvsU\nyKpKeyrF79rbeTsYpDeTYWMoBMCFWVmsP+ssLsjKwjAKq5ipskp8b5x9/3sfPc/3AGCZZOHsurPR\n28dB+ewkBIMbCYXeIxjcQDi8mWRS++VdXf0UublfGOPRCYLwaZaXl0deXh5ms5nsE/ij1/XXX48k\nSTz22GNH3NfV1cXrr7/OqlWrsFgsvPbaazz55JO89tprIz6Xqqo8+OCDXHbZZVitVu69916uvvrq\n4xrH0L6XPXv20NzczKJFizCbzVgslnHT1yRCjSAIJyUS0ZZd/uAD2LRJCzQOhxZkNm2Ck1x2/5S1\nR9p5q7EvxDRtYL9/P+cUn8OS0iX8bOXPWOBbgMVwlLK/qsI778ALL8Df/qbd7u3VmoGqqqC+Xntj\nRuMpj1NVVX7T2srPDh3CaTCwNRIBoMpq5WsFBRSZzfx08mTmO52YTyHIRHdGCb4VRDJJJA4mUDMq\nTT/SPvAbPAbK7iqj6KYizEUTb4+VQOBN/P7XSKe7aW39b1yu87DZpuLz3UxOzmpsthNfTUgQBGG0\nrV+/nksvvZTnn3/+hJZbbm5u5pprrhnxPkmS+O///m9uuukmVFVlypQp/O53v+Pss88+6vnXXnst\nK1eupLW1lSuuuIK77rrruMYxdI+bZDLJHXfcwa5duzAajSxatIiHH374uN/T6SRWPxME4ZjSaa3v\nfdOmwRCzfz/MmgULFgwep7Ai8UlrCjYNVGH+H3v3HR1VtT1w/DvpvfdGQgoJSYCAgBKlKiAQQGxE\n/CFFwQI82xMRVJT2UJ+oNEXpGBBUpCggIv2BGFpIAiGBFNJ7T2aSmfv74wIiQkgmkwbns1bWmszc\ne+6esEjunnPO3gdTD5JTnsODXg/Sp10ferfrTVfXrhjq3yYJUSrlrp4//ghHjkBqKuTkyJlZ167w\n0EPg6grW1nLG1ghltbV8nZXFkZISCmpqSFMqSamuppeVFe95e+NlbEyQuXmjrnGjjOUZpP0nDWWa\nEiM3I+wG2iHVSuhb6GPoYEi7d9uhZ9Q0zTebWknJMU6f7gWAldUD2NkNxtDQAXf3l1s4MkEQmlNb\nqH62e/dugoKCsLGxITg4mISEBMzr8btepVIRFhZGTEwM+q1hA2oT0HX1M5HUCILwN5IkVyA+ceKv\nJCYmRp6g6N79rwQmJASMjJo/PrVGzf6U/XwX+x17L++lsqaS3u16X/8KdQpFX6+OPwC1tXJXz927\n5bVxubnyfpjBg+XNP4GBoEU1l3yVirMVFVRrNOSpVGSqVBwuKUEfyKup4URZGQCPOzgw0M4ObxMT\n2puY4Gd2i707WlBXq6lOrqbsRBnJ7yejTFXiMsEF9ynuWIbpplhBS6upKSQu7gmKi/djbOxBjx4J\n6ONnFfkAACAASURBVOvr5ucnCELb09qTmkOHDuHm5oafnx8AS5YsITk5mX79+jFs2LAWjq7liaRG\nEASdysr6a/blxAl54sLKSk5criUxXbvqrIiXViRJ4nj6cTbGbmRz3GY8rDyIDIlkiP8QAh0C77yh\nfe1aebPP6dOQny+XWe7UCWbMkJOZBshTqai8mrgcKSlhf3Exp8vLuaJUEmRmho+JCSpJwlRPj55W\nVrQ3McHVyAhbQ0N8TEywMtDNqt/KpEqUqUpKjpaQOj8VSSn/ftUz18OiiwUBSwPaXMnl29FoVKSk\nfEBa2nwAfH0X4e7+Cnp6jV8GKAhC29XakxqhbiKpEQRBa2q1PEmxfz/88YecxFRW/jX70r27/HW1\nlH6LO5dzjo2xG9kUuwljA2MiQyIZHTKaAPuAO5985IjcG2bPHjh+HObPl5eTeXmBh0e9N/Z/n5vL\nnqIiUqqrSa6q4lJ1NV7GxhTW1uJuZMQwe3s6mpvzhKOjzhKWaySNRFl0GUiQtTqLkiMlqEvVKK8o\nATByM8LIyQjzEHN8/+uLkVMLTJ01EY1GRU7OBgoKdpCf/xMAbm6v4Oe3SCQzgiAAIqlp60RSIwhC\nvUkSxMfDvn3w++9w8KB8P9+vH/TqJScyPj6tq/Hl5aLLbDy3kY2xGylTlTE6eDSRoZF0du58+xmZ\nykq5i+fp03KJZT09uZJBhw4wZ47c/FKLMsvLMzJ4OTGRKe7uPGpnh4FCQQczM9rpsL/ArVRerOTC\nuAuUHpOrn1mEWaDKVmE3xA7HJxwxaWeCibcJ+qZ3zzprtbqKjIzFFBTsAKCk5AgADg6PYWf3KC4u\n40QyIwjC34ikpm0TSY0gCHVKTv4rifn9dzA3lxvZDxggJzOtZRbmRlllWWyO28zG2I0kFyfzRNAT\nPBP6DA94PoCe4hYzKtXV8uxLdbVcP3r1aggNhbAw6NkT/u//5OMauGbubHk567Kzia+s5FBxMZUa\nDS+6ubE8oB4zQzpSfKiYM33kzs0dVnbAZZwLCr1WlHXqWHn5WXJzvyMtbQEALi4TcXCIwNDQGWvr\n+1s4OkEQWjOR1LRtIqkRBOFvsrPl5WTXEpnKSjmBuZbIeHu3dIS3llqcys6LO/nxwo+czjrN8A7D\niQyJZED7ARjo3bSMKzERvv4arlyRH588KVclCwwEd3d5X8yYMVrFsa+oiF0FBewoKOBiVRWdzc0Z\nYm+Pk6Ehwx0c8DExabImlFUpVZQcLKHg5wIq4iuojKsE5JmZTrs6YeR89ywnu0atrubKlU8oKTlM\nTU0u5eVnMDPriIVFJ7y8ZmJhEdLSIQqC0EaIpKZta/akRqFQDAY+A/SBbyRJWnjT6w7ABsAFue/N\nJ5IkrbnFOCKpEQQdKC6Wl5FdS2IyMqBPHzmBGTAAgoJa13Kya9QaNX9k/MHOizvZeXEn2eXZDPEf\nwogOI3jU/9G/esdcuQIrVsA338gZ2zVvvSUvJwsJkbt5enjIzS8bSKXRUFRby7c5OfyUn8/hkhJ6\nWFryoLU1411cCGlk6eabqavUZHyRQVVyFXrGelRfrkaZpaT8pNyXxsDOAKseVtgNtcMi1AKLbhYY\nWNxdLcRUqnyKiw9QVvYnV658BICj49M4Oj6GiUl7rKxu3VdBEAShLiKpaduaNalRKBT6QALwMJAB\n/AlESpJ0/oZjZgPGkiTNuJrgJADOkiTV3jSWSGoEQQsqlbzn/ddf5STm/Hl44IG/ZmO6doXWWsK+\nVFnKnqQ97EzcyS+Jv+Bm6cYw/2FEdIigu1t3ufSyJEFaGsTGwpYtcqUyR0d5Y//DD8uPjYwa3fAy\nS6nk2fPn+b24GABDhYJxLi686elJgI7KKl8jqSWKfi8ieWYyZX/KpZzthtjJvWIkCQNLA4zbGWPz\nkA16xm2zV0xdJEmioGAneXmbKSs7RWVlPAC2toMwNfXB339Zk81+CYJw7xBJTdum66TmTh8H9gCS\nJElKuXqRTcAI4PwNx2QBna4+tgIKbk5oBEFomKws+OUX+WvfPnmCYtAg+PhjuP9+rSYomk1SYdL1\n2ZgTGSd40OtBhgUM48O+H9LOpt1fBx47Bnv3QkqKvCfG1FR+k/Hx8nSTDhTX1DA/LY2CmhqicnN5\nytGRo2Fh9LK21sn4N5LUEtUp1WSvzyb1g1QAjD2N6fxbZ2wH2Or8eq1RTU0BZ84MoKLiLADm5qE4\nOj6JjU1frK3DxUZ/QRAEocncKalxB67c8H060POmY74GflcoFJmAJfCU7sIThHuDWi2XV/7lF/j5\nZ/k+f+BAGDECli8HJ6eWjvD2ajW1HE07KicyiTspri5mmP8wpvaYyoD2A7Awurqcq6ZGnpH56SfY\nuhUOHJA39j/6qNwcp1s3ncV0pLiY/6Sl8XNhIV0sLK5XL3tCxz9IdZWarK+zKD5QTP7W/OvP2w22\no8PKDhi7teLsUwcqKi5QULCdkpL/UVx8ALW6BIDg4B9wcBiBPNkvCIIgCE3vTklNfeb03gHOSJLU\nV6FQ+AJ7FQpFZ0mSym4+cPbs2dcf9+3bl759+zYgVEG4uxQUyC1UfvlFbm7v5gZDh8Lnn8vLy3Tc\n8kSnSqpL2HNpD9sTtrMraRfeNt5EBESw/rH1dHXt+lfFMkmS39yRI/JyMkmC3r1h/Hh5qZmDg85i\niquoYGlGBquzs6nWaHjK0ZGfQkIYbm/fJEudEv+VSMYXGQC4veiGz3wfPF71uKvKLN9KWdlJ0tM/\np7h4P0plOoaGjtjZDcbX9xPs7B7BxKTdnQcRBEEQhKsOHDjAgQMHGj3OnfbU3A/MliRp8NXvZwCa\nG4sFKBSKX4B5kiQdvfr9PmC6JEnRN40l9tQI9zRJgrNn5ZmYX36Rt5D07QtDhshfnp4tHWHdUopT\n2JGwgx0Xd3A8/TgPej3I8A7DGRYwDA8rD0hNhaNH5TcKcs+YpCTYtg3GjoXgYJg8GXSw9CtLqeRS\nVRXrc3IoV6s5WFxMhkqFu5ERz7m48JKbGx5N0EtGXaEmY1kGuRtzKT9dju9/ffF8vZX/w+mAUplN\nXNwoSkuPAxLm5p1wcBiOs/NzmJn5tXR4giDco9rynprExERiY2OJiYkhIiKCrl27tnRIza65CwUY\nIG/8HwBkAif4Z6GAT4ESSZI+UCgUzsBJoJMkSYU3jSWSGuGeU1YmN7X/+WfYtUvuGXMtiendG5q4\nh2OjaCQN0ZnRbE/Yzo6LO8gqy2JowFCGBwznEd9HsDA0h3Pn5HVzq1fLS8j69ZMrkwFYWcmb/J98\nUu4ho6VajYbL1dVUaTQsycjgm6wsACz19bE3NGSAjQ1POTkRaGaGVxP8QIt+L6JwdyG1xbVkfS1f\n2+kZJ9xfcce6l+735rQGKlUeRUX7uHLlY8rLT11/Pjj4B2xs+mJo2PBGpoIgCLrWlpOaRYsWER4e\nTlBQEJMnTyYqKqpJr+ft7c3KlSsZMGDALV8PCQlh2bJl9O7du0njuFGzFgqQJKlWoVBMAfYgl3Re\nKUnSeYVCMfnq618B84HVCoXiLKAHvHVzQiMI95rz52HGDLla2QMPyEnM9Ong79/SkdWtsqaSfZf3\nsT1hOzsTd2JrYsvwDsNZPnQ5Pd17ytXK1Gp5g//zz8v1pIOC4Nln5czNxqbRMWgkiUq1mlXZ2Xyf\nl8fhEnmfRpCZGVUaDYv9/HjJ3R39JlhSpspTURZdRsnhEooPFFN6rBQAmwE2WIRa4L/cH6ennDC0\nuzs3vFdUxJGbu4XU1A8AsLIKJyRkB9bWvUQiIwiCoEOvvfYaAPHx8fj4+DRqrMTEREJDQ3nyySdZ\nv379LY9RKBR1LsWOjY1tVAytwR1X7UuStAvYddNzX93wOB+I0H1ogtD2FBTABx/Axo3wzjuwYQPo\nuO2JzhVWFbL1/Fa2X9zO/uT9dHPrxvCA4Ux/cDp+djctLZo166+9MSNHytmbpaVO4kirrmZUbCwn\ny+X+LeZ6egyzt+eH4GAec3BoshLA6ko1l9++TOGuQqqSqlAYKrDoaoFZgBleM7ywfcQWfZO7e59M\naWk0Z870QaOpxNQ0AGfn/yMwcLXY6C8IgtDEtm7dysyZMxs1xiuvvEKPHj3u+VL5rXgrsiC0HTU1\nsGwZzJsHTz0l3+vrcA+8zlXVVLHj4g6+PfctB1IOMNB3IE8HP82aEWuwNb2p/PBvv8Eff8hVDQ4f\nhsRE8NPdPoo8lYon4uI4VFKCm5ERv3XuzADbpi+BXJVSReqHqWSvlht8uk5yJWRHCOaB5k1+7dai\nqGg/KSnvUVJyBD09U3r0SMDMLKClwxIEQbgnbN++nWnTppGRkYG/lks5Nm3ahK2tLR07diQpKanO\nY0+cOMHUqVPJyspi5MiRLF++HOOrPSK8vb1ZtWoV/fv3x9vbm6lTp7Ju3TpSU1MZPHgwa9euvX7s\nwoULWbx4MaWlpbi5ubFs2TL69++vVfy6JJIaQWgESZI3/b/xBrRrB/v3y/vhW6NaTS2/J/9O1Lko\ntiVso7tbd8aEjmH9Y+uxMra69UmXLsEjj8h7Yj78UK5kpoNGlTkqFd/n5TElMREAUz09Env0wE/H\nTTBBbgRZfbmavK15qEvUaKo1FB8opixaLtDov9Qf95fddX7d1kqtriQl5UOKi3+nrOxPLC17EhKy\nHTu7R9HTE38SBEEQmsOPP/7IggULWLx4MX379tVqtqa0tJT333+f/fv3s2LFijqPlSSJqKgofv31\nV8zMzIiIiGDu3LnMmTMH4B+zPFu2bGHPnj0YGxsTHh7OmjVrmDx5MgkJCSxdupTo6GhcXFxIS0uj\ntrZ1tKcUf8EEQUtxcfD663LRr08/lduttLaZX0mSiM6M5ttz3/Jd3Hd4WHkwJnQMCwYswNXS9fYn\nHjsG774rd/4MC4OTJ3Xy5gpqapiamMjG3FyMFQpGOTiwKjAQ6yaoX116opTstdlkLssEQM9cD+cx\nzij0FNgNtcPrHS8cRjig0Gtl/2hNRK2uIjZ2OEVFvwHg7Pwcfn5fYG19fwtHJgiCcHdKS0vj2LFj\nrF69mrVr1+Ls7AxAVFQUo0aNYtSoUY0a/9133+X555/Hzc3tjkvPFAoFU6ZMwd1d/hBv5syZTJ06\n9XpSc/Ox06ZNw8XFBYCIiAjOnDkDgL6+Pkqlkri4OOzt7fHy8mrUe9AlkdQIQgPl58P778ttVmbN\ngpdeAsNWtm88sSCRb899S9S5KCQkxoSO4eC4gwTY32ZpUVaW3Evm22/lJWaFhdCnD2Rmgmsdyc8d\nSJJETEUF/71yhTK1mp/y5QaV33TowMRGjHs7OVE5KDOUlP5RSv4P+RjYG+D7iS8er3qg0L83kpcb\nFRT8Qlzc4xgY2KFSycmdv/9S3NxeRHGtl5AgCMJdTKGD/icAkha9Fb28vPDy8iIxMZHPP/+c+fPn\ns2XLFoYOHYpJI6t1njlzhn379nH69Gk5vnpUgfO8oXeEl5cXmZmZtz32WkIDYGpqev1YPz8/Pvvs\nM2bPnk1cXByDBg3i008/xbUJ/qY3lEhqBKGeVCpYulTeJ//MM3DhAti1ooJQ2eXZbIrdRNS5KNJK\n0ng6+Gk2jNpAd7fudX+Ck5srl2r74w8YNEjO1Dp21HqZWY1Gw+rsbNKqq9mUm8ul6mpcjIx41cOD\n8S4uDNfhZqPk95PJXpONpkpDTV4NAE5jnDDxNiFwbSAuY13uMMLdpaammKqqRPLzt1JefprCwt2Y\nmQXRseN36OkZY2rqKzb/C4JwT9EmGdG1SZMm0aNHD3r27MmAAQOw1kG/toMHD5KSknJ9pqS8vBy1\nWs358+eJjo6+5TlpaWl/e+zm5lava918DxEZGUlkZCRlZWVMnjyZ6dOns27dOi3fie6IpEYQ6uHn\nn+G11+SSzIcOyVWMW4NaTS3bLmxjxakVnMg4wfAOw5nbfy79ffpjUJ/9EfPnw8yZ0LUrfPIJDB2q\ndSyJlZWsyc5m/tVfmo87OPCgtTUHw8Jwv7q5UBc0NRpK/ygl7T9pFP5ciNMYJzxf88TAzgAjFyP0\nTe+9m/aamkLi40dTVLQXAENDR2xtB9Cx42YcHEaip9fKphIFQRDuIU5OTjg5OWFsbIxdAz4NHTdu\nHAqFgtWrV//jtUmTJhEZGQnIszSffPIJKSkpfPnll7ccS5Ikli5dyrBhwzA1NWXevHmMHj26XnHc\nOAt08eJF0tPTCQ8Px9jYGBMTk1bTK0gkNYJQh8xMmDYNYmLgiy9g8OCWjkiWV5HH16e+Znn0ctpZ\nt+Pl7i+z9emtmBnWMbsiSbB1q1zZYOVK+TlbWzh+HHr2bFQ8GUolASdOYKanx7/c3ZnZrh2ORkaN\nGvNWVDkqzg46S8XZCkz9TAn4MgC3yfX7pOluVFmZSGnpMVJS3qe6OoWOHTfh6PjUPV/WUxAEoTXZ\ntWsXQ4cOZceOHQxuwI1Eenr69cTlZqamppiaml7/3sLCAlNTU+yvNcC+iUKhYMyYMQwcOJDMzExG\njhzJrFmz6hXHjT1ulEolM2bM4Pz58xgaGhIeHn7HIgXNRdFc2ZVCoZBaSyYnCHei0cBXX8F778GL\nL8qTGU3QrL7BojOjWXJiCdsStjEqcBRTekwhzDWs7pN++QXGjwelEkpKIDJS/urdG6ysGl0A4Ke8\nPB6Li8PR0JAz992Hmw5nZW5U+kcpp+6Xu9uH7gzFfuitf3HfrQoKfqaoaB9qdRl5ed9jYGBLdXUy\nxsbtMDPrgL//EszMWnl3V0EQBB26XUf61mT37t0EBQVhY2NDcHAwCQkJmJvfuXWASqUiLCyMmJgY\n9PXvzhUIt/v3u/p8g29ORFIjCDeJjYVJk+R7/RUrWr5Es0qt4vv471l8YjGZZZm8fN/LPN/1eezN\nbnNTn5cHRUVyOeYLF+QlZgMHwscfQz3Xz9ZHplLJD3l5TEtKYoKLC9906NAkMwTKDCWX37lMzroc\nLLpa0OVAFwws741J5tracoqLD3Dhwlhqa4uwtu6Dg0MEGo0SO7shGBraY2LieeeBBEEQ7kKtPak5\ndOgQbm5u+F3t7bZkyRKSk5Pp168fw4YNa+HoWp5IagShiVRVwdy5ciIzdy688ALotWCBqKyyLL6M\n/pIVp1bQ0bEjU3tMJSIgAn2923xik5Qkl2WLigIvL/D1lb8ef1wn6+byVCp+Ly5mf1ERP+Tnk19T\ng5FCwfz27XnDU/c31jkbczj/zHkAFEYKvN72wucDH51fpzXRaGooLz9Lfv5Wiov3U1FxDrW6HFvb\nQfj5fYa5eWBLhygIgtBqtPakRqibrpOae+PjTkG4g3375GVmYWHy/pmWqkwoSRLH0o+x+MRi9iTt\nYXTIaPaN3UdHx47/PFithosX5bVyixbJ+2T+7/9gxw7Q0SdAadXVfJmZyaHiYo6WlqIARjo48C93\nd55zccGzidbkZa3OImFCAs7PORO4KvCe6CWjVldw4kQQSuUVTEx8sLDogrf3bMzNQzE2bvlSmYIg\nCILQmomkRrin5efDG2/AgQNyueaWmg2u1dSyJW4Lnxz7hFJlKVO6T2H50OXYmNj8/cDKSvjpJ7mP\nzDvvQFkZBAbKy8qOHYP7ddNIMUel4r6TJ0lXKgGY4OLCy+7uPHO1cVhTKD5UzIVxF6hOrgbAZaIL\ngd/cnTMTkiSRlraAgoKdVFUlUlOTf/21Tp32YGc3sAWjEwRBEIS2RyQ1wj1JkmD9evj3v2HMGIiL\nAwuL5o+jQlXBqtOr+PT4p3hZe/FB3w8Y4j8EvVs1RszLg5AQua9MRIS8Rm7iRKjHhsP6kiSJbfn5\nLEpPx8nQkMNduuB9Q3UVXdLUaig/VU5ZdBkZSzOojK/E1N+UbtHdMA0wvWv3zVy6NJ0rVz4CwM3t\nZTw938LcPAgTEx/09HRfMU4QBEEQ7gV3512DINyGJMHBg/LWk7IyuTBYt27NH0deRR5LTixhefRy\nHmr3EBsf38j9HnXMsqSkgI+PPJW0ZAm0a6ezWGo1GnYXFjIhIYG8GrmB5dteXrzp6Ym9YdP0N9HU\naojuFE3l+UpM2ptgHmpO4KpALLtb3rVLzcrLz3Hu3DCUyjTc3afi5/e5KL0sCIIgCDoikhrhniBJ\nsHcvzJkD2dlyieZnnwWDZv4fcKnwEp8e+5SNsRt5Kvgpjkw4QoB9QN0nHT0KDz4IHh7y0jMdlHaU\nJImPr1yhqLaW/1xtlhluZcWhLl0IMDNDT4c326ocFbmbcyn4uQBVhgoUUHGuAoDucd0x76i7mabW\nQKOpRam8glKZjiTVkJw8C6UyA6UyDSMjV7p3j8Pc/BZ7pARBEARB0Jqofibc1SRJno2ZMwdKS+Vk\n5umnmz+Zic6M5qOjH7E/ZT+Tu01mao+pOFvUsT9l5Up49VUwNpZ7y3TpAnv2QAM6Ed9OhlKJx7Fj\nADzj5EQnCwumuLtjrsM6+OWx5aTNT6PqUhVlJ8oAcH7WGcvullj2sETfVB/zTuZ33UxFSspcUlLe\nBUChMMbCogtqdSnt2y/EzCxQ9JERBEHQIVH9rG0TJZ0FoR40Gti+XU5mampg1iy5snFz9q+SJIk9\nl/bw0dGPSCpM4vUHXmdi2EQsjS1vf1JBgbzRZ/VqOfjRo8HFRScbfrKVSuanpbE4IwNbAwOye/XC\nSEc1q2tLain6rQhlppKMJRlUXaxCz0yP9v9pj1mgGVb3W921e2SuychYRmLiK7i7/ws/v0V3XcIm\nCILQ2oikpm0TSY0g1EGjgR9+kPMBAwN4910YMaJ5+82UVJewKXYTy6KXIUkSb4W/xdPBT2Oof4f9\nKf/7n7wm7soVuRxbeHij4tBIEhtzc4mrqCCuooLtBQX4mpgwr317nnZyatTYICdtxQeKyd+aT8bi\nDADsBtth6GyI60RXrHtZo9C/+2/s1eoqLlwYS17e97i4TCQw8JuWDkkQBOGeIJKatk0kNYJwC2o1\nfPedXBDM0lJOZoYOheb6sFwjaTiQcoBVp1ex8+JOHvF9hOfDnmeg78D6fWJfVQVmZhAQAMePg62t\nVnFsysnh16IiJGBbfj5FtbUMsbPDx8SEIfb2DLG312rcG2lqNORuyiXxlUTUZWrMgs2wf9Se9h+1\nv+dmJ5TKDI4d8wAgMHAtLi5jWzgiQRCEe4dIato2kdQIwg00GtiwQU5mnJzgvffgkUeaL5lJLU5l\n7dm1rD6zGitjKyaGTeSZ0GdwMHO488mSBMnJcPYsjB8vLzM7dw4aWHHsk7Q0pl++jObq972srBho\nZ4erkRGD7ezw0mGDTHWVmmPux6gtqsVhpAMBXwdg5HBvlSFWqXJRqbKprS3mzJk+APTqlYeRUT3+\nzQVBEASdEUlN2yaSGkG4KjERnn8eqqvhP/+Bvn2bJ5mpqqnipws/serMKk5nnSYyJJLxYeMJcwm7\n80xFbS1cvCivkfvyS8jMhF694LHH5DdjY1P3+TeZcOECq7OzGengwHJ/f+wNDTFsorV2pSdKOdXz\nFADhBeEY2jVNuefWqro6nfPnIykpOYKhoQP6+tYYGjrQufNeDAzq2CclCIIgNIm2nNQkJiYSGxtL\nTEwMERERdO3ataVDanYiqRHuebW1sGgRLFwoFwCYOrXpCwBIksSprFOsOr2KTXGbuM/tPiZ0mcCI\nwBGYGNRzJiQ5Gdq3B39/6NxZ7jkzerRc4UyLeF5NSuKLjAxWd+jAOFfXBo9xp/GrLlZREV9Bygcp\n1OTWoMpSoW+hT5eDXbDsem/dxFdUnOfPPzsC+gQHf4ej4+MtHZIgCMI9ry0nNYsWLSI8PJygoCAm\nT55MVFRUk17P29ublStXMmDAgFu+HhISwrJly+jdu3eTxnEjXSc1d3c5IuGuc+4cTJgAVlZw4oSc\nIzSlwqpC1p1dx6rTq6ioqWB8l/GcnnwaL2uvhg30ww/y2jhPT3mmphGicnKYl5pKfGUly/z9dZ7Q\nACROSSRzWSaGjoaYtDMh6NsgTLxNMPUx1fm1WqPKykRycjZQXZ1KefkpKirOoadnQnh4Ifr698bP\nQBAEQWg6r732GgDx8fH4+PhoPc6mTZv44IMPuHLlCi4uLqxZs4YHH3zwH8cpFIo6V5PExsZqHUNr\nIZIaoU1QKmH+fFi2DBYsgIkTm3apmSRJrDmzhrf3vc1A34F88egX9G7XGz1FA5d2Xb4Mu3fDK6/A\n2LEwZkyjYhp27hy/FBYy0NaW7aGh+Jrq/ga7aF8Rmcsy6bCqA67jdZ8wtVa1tWWkps6jsPCXq0mM\nOc7Okbi6TsTU1B97+yEtHaIgCIJwl9m6dSszZ87U6ty9e/fy9ttvs3nzZnr06EFWVlabnbnSBbH8\nTGj1/vhDTmLat4fly8HdvWmvl5CfwOSdk6moqWDFsBWEuYZpN9Du3fDoo9Ctm7xnRotfWgU1NazP\nzuZ4aSnf5eUBcKhLFx5q4N6bO8nfmU/GkgyK9hQBYDvIlk67Ot0z1cyUymzOnh1AZWU87drNwslp\nNObmwS0dliAIglCHtrz8DGD79u3069eP7Oxs/P0b3py5V69evPDCC4wfP/6Ox/r4+DB58mTWr19P\nVlYWI0eOZPny5RhfXQLv7e3NqlWr6N+/P97e3kydOpV169aRmprK4MGDWbt27fVjFy5cyOLFiykt\nLcXNzY1ly5bRv3//Bsev6+Vnzdi9QxAaprIS3nhD7jMzaxZs29a0CY2yVskHBz4gfFU4jwU+xvGJ\nx7VLaJRK2LRJTmg++wyio7VKaJZmZOBw9CivXbqEj6kpawID0fTpo/OE5uKUi8RGxIIG2n/cnl45\nvei8u/Ndn9AolRkcPmzJsWOeHDvmikqVSWjoz/j4zBEJjSAIgtCkfvzxR+bMmcOoUaPYvHlzg89X\nq9WcPHmS3Nxc/P398fT0ZOrUqVRXV9/yeEmSiIqK4tdff+XSpUtcvHiRuXPnXn/95r/5W7ZsYc+e\nPSQnJxMTE8OaNWsASEhIYOnSpURHR1NaWsqvv/6Kt7d3g+NvCmL5mdAqHTggFwPr0UPeR+PoWUGE\nXgAAIABJREFU2LTXO5hykMk7J9PBoQOnJ5/G09qzYQNIEmzfDjEx8t4ZgCeflKsYNFClWs3I2Fj2\nFhXxb09PPvL1bfAY9aFRavgz5E+qkqrw/cQXzzca+J7buNjYx1CrywkL+x/6+haYmHjf9YmcIAjC\nveaA4oBOxukr9W3wOWlpaRw7dozVq1ezdu1anJ2dAYiKimLUqFGMGjVK63hycnKoqanhhx9+4MiR\nIxgYGDBixAjmzp37t2TlGoVCwZQpU3C/+unwzJkzmTp1KnPmzLnlsdOmTcPFxQWAiIgIzpw5A4C+\nvj5KpZK4uDjs7e3x8mrgHuMmJJIaoVWpqYF33oGNG+WlZhERTXu9wqpC/v3rv/n18q98MfgLHgt6\nTLuBnnlGnp157jn46iuYNEmrYTbn5vJ0fDxexsbsCg1lsA6aZd5MU6sh66ssEqckAtB5f2ds+2rX\n7LOtqapKITNzOUVFv1FefoouXQ5gYRHa0mEJgiAITUSbZERXvLy88PLyIjExkc8//5z58+ezZcsW\nhg4dikkje8iZXt1TO3Xq1OvJ0uuvv37bpAbA0/OvDy+9vLzIzMy87fjXEppr17p2rJ+fH5999hmz\nZ88mLi6OQYMG8emnn+LaBEWLGkokNUKrkZYGTz8NdnZyP8omuJ+/TpIkos5F8ebeN3my45PEvRyH\nlbFVwwapqoKVK+HDDyEvT55e6tNHq3jyVCoePnuWmIoK3vT05KP27Ztk1qDglwLODT0HgP0IewJX\nBmJof3f3m1Eqs6msPE98/FPU1OSjUBjg6flvOnT4BktLLfdLCYIgCEI9TZo0iR49etCzZ08GDBiA\ntbV1o8e0tbXFw8OjQeekpaX97bGbm1u9zrv5fiQyMpLIyEjKysqYPHky06dPZ926dQ2KpSmIpEZo\nFXbskJebvfmmvI+mifpHAnCp8BIv/fwSuRW5bBu9jR7uPRo+yLXa0jEx8Oyz8uyMQcP+O5XW1rIh\nJ4fU6mo+unIFgP+FhfGADn7Z3Ure1jziRsVh2sGULvu7YOza8P44bU129jouXHgOPT0zTE3b06nT\nryKREQRBEJqVk5MTTk5OGBsbY2dnV+/zxo0bh0KhYPXq1bd8ffz48SxevJjBgwdjYGDAokWLiLjN\nEhdJkli6dCnDhg3D1NSUefPmMXr06HrFceNm/osXL5Kenk54eDjGxsaYmJi0mmINolCA0KJqauDf\n/5YrHm/dKj9uqoQmvTSd9/e/T89vejLQdyDRk6IbntBUVMBLL0GnThAeDkVF8mxNAxKaCrWaWZcv\nY33kCK8kJpJQWcl77dpR8dBDTZLQ5O/M56jjUeJGxWE/wp5uf3S76xOampoicnM3c+HCczg5jaZ3\n7wq6dz8nEhpBEASh2e3atYuhQ4eyY8eOBp2Xnp5+y54z17z77rt0796dgIAAOnbsSLdu3W5bHlqh\nUDBmzBgGDhyIr68v/v7+zJo1q15x3NjjRqlUMmPGDBwdHXF1dSU/P58FCxY06H01FVHSWWgxqakw\nerS8zGzt2qZZblauKmfr+a2si1nHqaxTPB70OO889A7eNt4NGygjA2bMgPXrwccHVqyAhx+u9+m1\nGg3f5+WxIC2NmIoKDBUKnnZyYl1gYJNuTr+23Mw0wJTQ7aGYdTBrsmu1pOrqNAoKdlJdnUxGxhI0\nmmoMDZ1wdZ2Ij89cFA3tLyQIgiC0em2hpPPu3bsJCgrCxsaG4OBgEhISMDc3v+N5KpWKsLAwYmJi\n0NfXb4ZIm5+uSzqLpEZoEU253EytUbM/ZT/rzq5je8J2Hmr3EGM7jSWiQwQmBg3YmKdSwb59MORq\n08UnnoChQ+Gpp8DszsmBJEkkVFayNDOTvYWFJFRV0dncnA98fBhub9+kyYwkSUSHRVNxtgLn55wJ\nWhPUZNdqCZKkpqhoP3l535OTswGNpgJ9fUtsbQdgaOiEl9dbmJo2TdU4QRAEoXVo7UnNoUOHcHNz\nw8/PD4AlS5aQnJxMv379GDZsWAtH1/JEUiO0adeqm23eLFc469VLd2PH58Wz7uw6NsRswNnCmbGd\nxhIZGomTuVPDBjp+XN4vc/EiBARA//6wcCHU45OVa65VMQMw19Njoa8vz7u6YtyUm4WuKjtTxsmw\nkwB0O90Ni1ALFPptv1RxVdUlrlxZRFHRb1RVJQBgadkda+sH8fR8E2Pj+m14FARBEO4OrT2pEeqm\n66RGFAoQms216mb29nDqlG6Wm+VV5LExdiPrzq4jqzyLZ0OfZfezuwlxCmn4YPHx8OKLcPgwDBwo\nZ12dOkE9Z1SUGg33nzrFmfJyAB53cODrDh2wNWy+6mKSJHFuiFzd7IGMBzB2a/t7Z9Tqak6cCECp\nvIKenglubi9ib/8ltrZ9Wzo0QRAEQRBaCTFTIzSL6GgYPhxefVVectaYCQtlrZIdF3ew7uw6DqUe\nIqJDBGM7jaW/T3/09bRcdxobC6Gh8j6ZsWPlxpkNrCEffOIE8ZWV/BQSwqN2dhg1w6zMjXI35xL/\ntDw7dN/Z+7DoZNGs19c1jUZFbOwoCgt/BqB79zjMzTu2cFSCIAhCayFmato2MVMjtDk7d8L48fDN\nNzBihHZjSJLEn5l/svr0ajbHb6aLSxfGdhrLt6O+xdLYUrtB1WrYuxfWrZNnZfr0kb9voLiKCt5I\nSiK+spIr99+PRyMbamkj+b1kUuek4jLOBb/P/DCwbrv/tUtL/+DMmb5oNNUABAauwckpEj09oxaO\nTBAEQRCE1qrt3vkIbcJXX8Hs2XJi07Nnw8+vUFWwMXYjy6OXU1RVxMSwiZyefBovay/tg7p8Gf74\nA375BTZsgJdfhoICuetnA50uK6PryZOY6OnxfXBwsyY0kloie002F1++iKSS8Hrbi/YL2jfb9XWp\npqaQK1c+JS1tHgAmJj507vwbpqZt8/0IgiAIgtC8RFIjNAmNBmbNgu+/hyNHwLeBhaji8+JZ/udy\nvj33LQ96PcjcfnMZ5DcIvcaU5q2theeeg6gocHGBvn3h4EHo3bvBQ50oLWVuaio7Cgq438qKg126\nNOtys6yVWSS9loS6TI11H2s6RnVsk/tnamoKOXOmLxUV51AojHFwGEVAwJcYGTm2dGiCIAiCILQh\nIqkRdE6lkouHXboER4+CYz3vT1VqFT+e/5Hl0cu5WHCRiWETOfPimcbNypSUyEnMN9/I1QkAPvwQ\n3n1Xq+HUkkSPkyc5VV5OXxsbTnfrRhdLLZe/NZAkSeRvzSdjcQbFB4rxnO6J5+ueGDm1zWVZSmUG\nZ88+TGXlBbp0OYyNze0bjAmCIAiCINRFJDWCThUXw6hRYGMjt3ipRzsXUopTWHFyBatOryLIMYhX\nur/CyMCRGOlrebO+fz989528+f/oUfm5N9+UE5suXepdzexmG3NyeOb8eQC+Dw7m8fpmazogqSVO\ndj9J+elyzDuZE7guEOcxzij02l6p5tzcLcTHPwWAkZEroaG7REIjCIIgCEKjiOpngs5cuQKPPgoD\nBsCnn0JdDXDVGjW7k3azPHo5x9KP8Wzos7x434sEOTaiSaQkgZ8fFBbKnT19feH+++VEphEq1Gqe\nPX+en/LzedzBgTWBgVgYNM/nAelL0slcmknlhUoAgjYG4TzauVmurUu1tSWkps6luPggZWV/Ymc3\nhNDQHSgas5xQEARBuKeJ6mdtm2i+KbRKZ85ARAS89pr8VddkSFZZFk99/xQVqgpe6f4Ko0NGY25U\n/8aW/5CcDCtWwG+/ybWj8/N10gRHI0n8r6SEh86cAWBzx4486dTARp5aUleqSZySSPbqbBxGOeA6\nwRXrPtYYWLStydWamgJSU+eTnv4pAK6uk3B2fgYbmz4tHJkgCILQ1omkpm0TJZ2FVkWjgdWrYcYM\nWLpUbu9Sl8Ophxn9w2gmd5vMrN6zGrfxv6gI0tPlBpnt28MLL8CmTY1OaCrUat6+fJklGRkADLWz\nI6pjR6yaeHZGo9SQ/1M+pX+WkvttLqpsFf7L/HF/yb1Jr6tLGk0tNTX5lJYeIzn5XSor4wBwd5+K\nv/8XLRydIAiCILQOiYmJxMbGEhMTQ0REBF27dm3pkNo8kdQIWvvf/2DaNDAygj17ICzs9sdKksQX\nf3zB/CPzWTNiDY/6P6r9hbdtg82b5QIAhoYweDBs3y4/1lJ5bS1fZ2XxbU4OJ8vL8TUx4Qs/P6Z6\neGgfZz2pclRcfPEipX+WospQYTfUDqfRTriMd2kzDTQlScPJk90pLz91/Tlz88507XoCK6vuLRiZ\nIAiCILQ+O3fuJDw8nIcffpjJkycTFRXVovF4e3uzcuVKBgwY8I/XQkJCWLZsGb21qBbbnERSIzRY\nRgZMnw4HDsDChfDMM3UvN6tQVfDCjhe4kH+B4xOP42Pro92Fi4rg8cflQgATJsi9Znr00G6sq3JV\nKn7My2NBWhr5NTU87ujI+97eDLW3R0/LggL1IWkk4p6II39r/vXnPP/tictzLpgHN2IpXgvQaGoo\nLNxNefkp7rvvHObmwSia8GcnCIIgCG3da6+9BkB8fDw+PtrdFy1ZsoQ1a9YQGxtLZGQkq1evvv5a\nYWEhEydOZO/evTg4OLBgwQIiIyNvO5ZCobjt3+7Y2Fit4mtuIqkR6q26GhYtgv/+FyZNggsXwOIO\nEwmJBYmM2jyK+9zu4+iEo5gammp38YMH5Wmh9HTIyQEd7G3ZW1jIwJgYFMDrHh4saN8ew2bqNZO9\nLpv8rfmEbAvBqpcVhvaGbS4RyMv7gfPnx6LRyEUM7O2HYWER0sJRCYIgCELbsXXrVmbOnKnVue7u\n7rz77rvs2bOHqqqqv732yiuvYGJiQm5uLqdPn2bo0KF07tyZjh076iLsVkmUHhLuSJLk1V3BwXD8\nuDxBMn/+nROabRe2Eb4qnCndp7Bq+CrtE5ozZ+RGmcOHQ1JSoxOapMpKBp09y8CYGJ5zdqbsoYf4\nxM+vWRKa8rPlnB10loTxCbhOcsVhuANGDkZtJqGRJIkLF8Zz9KgjcXFPYG4eQo8eF+jbVyI0dEdL\nhycIgiAIbcb27duZNm0aGVf38DbUY489xogRI7C/aS9xRUUFP/74I3PmzMHMzIzw8HBGjBjB+vXr\n6xzvxIkTBAcHY2dnx4QJE1AqlYC8NG3fvn3Xj/P29ua///0vnTt3xsbGhtGjR18/duHChXh4eGBl\nZUVgYCC///67Vu9NG2KmRqjT+fPw6quQlgbLl8PAgXc+R5Ik/nPkPyyPXs6OyB309OjZuCBOn4Zu\n3WDOnMaNA3yXm8vo+HjM9fTY0rEjTzRTNTNJI3GmzxlKjpRg5GpEx00dcXq6ea6tS4mJL5OdvQZf\n30XY2w/BzCygpUMSBEEQhDbnxx9/ZMGCBSxevJi+fftqPVsD/KOC2MWLFzEwMMDPz+/6c507d+bA\ngQN1jhEVFcWvv/6KmZkZERERzJ07lzlz5vxjaZpCoWDLli3s2bMHY2NjwsPDWbNmDX379mXp0qVE\nR0fj4uJCWloatbW1Wr+vhhJJjXBLxcXwwQewYQPMnAmvvFK/ffgaScOru1/lYOpBjj9/HDdLt8YF\nsnKl3HPm+ecbNw5wvKSE0fHxTHN353N//0aPVx/lMeWkvJ9C/k/y3pnQn0OxH9L4ctPNTa2uJDq6\nK1VVCfj5fYaHx79aOiRBEARBaNXS0tI4duwYq1evZu3atTg7y33moqKiGDVqFKNGjdLJdW5e7VFe\nXo6VldXfnrO0tKSsrKzOMaZMmYK7u1xxdebMmUydOpU5t/lAedq0abi4uAAQERHBmTNnePjhh1Eq\nlcTFxWFvb4+Xl1dj3laDiaRG+Bu1Wi7RPGuW3HcmLq7+q72UtUrG/jSW7PJsDo47iI2JjXZB1NTA\njh2wbp1c6WzePLlmtBbKamvZWVBASnU17yQnY62vz4dabshrqNITpSQ8n4C+pT4dVnfA6Wkn9E3r\n6EjaSiUmTiUjYwkA3bvHYm4e3MIRCYIgCEL9HDigm+Xdffs2vB+Ol5cXXl5eJCYm8vnnnzN//ny2\nbNnC0KFDMTEx0Ulc8M+ZGgsLC0pLS//2XElJCZaWlnWO4+np+bfYMzMzb3vstYQGwNTUlMzMTHx9\nffnss8+YPXs2cXFxDBo0iE8//RRXV9eGvB2tiaRGuC4hAcaMkUs0//yzvOKrvkqVpTz23WPYmNiw\n59k9mBho+Z81IQECA+XHs2fD1KnQr1/d5dVuoVKtZmZyMp+lpwMw3N6eJx0d2RAUhFET7p1RV6kp\nOVRCxrIMCrYXYBpgSujPoZh46u6XV3MpLT3B2bMPo1aX0b79Qjw9/91m9v4IgiAIAmiXjOjapEmT\n6NGjBz179mTAgAFYW1vrdPyb/zYHBARQW1tLUlLS9SVoZ8+eJSSk7mI+aWlpf3t8bdamIdePjIwk\nMjKSsrIyJk+ezPTp01m3bl1930qjiKRGAORcon9/eanZSy81LIfILs9myLdDuN/jfhY/uhh9PS1n\nI8rK5J4zffrAvn2g3/BxPk9P5/WkJDRXv1/g48PL7u5N3jgTIO2jNC5PvwyAVbgVPvN8aPdOuya/\nri4pldmUlh6jqiqJy5ffwtjYg27dTmJm1jzL9QRBEAThbuPk5ISTkxPGxsbY2dnV+7xx48ahUCj+\nVqr5Rmq1mpqaGmpra1Gr1SiVSgwMDDA3N2fUqFG89957fPPNN5w6dYodO3Zw7Nix215LkiSWLl3K\nsGHDMDU1Zd68eTz99NP1ivPaTNHFixdJT08nPDwcY2NjTExM/jGL1JREUiOQlAQPPyzvw58woYHn\nFiYxaMMgxnUex6zes7T7JF+SYO9e+eIPPwxr1jTo9LiKClZlZbE8M5MqjYaRDg6sCAjA0cio4bFo\nqSK+gsvTL+My3gX/pf5tapmZRlPDqVMPUF5+8uoz+lhZ9cDFZRx+fosxMGgbDUAFQRAEoTXatWsX\nQ4cOZceOHQwePLje56Wnp9fZW2bOnDl8+OGH17/fsGEDs2fP5r333mPZsmVMmDABJycnHBwc+PLL\nLwkKCrrtWAqFgjFjxjBw4EAyMzMZOXIks2bNqlec1woJKJVKZsyYwfnz5zE0NCQ8PJwVK1bU+/02\nlqK5MiiFQiE1Z7Ym1M/ly3K15Fmz5N4zDXEy8yQRGyOY3Xc2k7o18GSQm2lu3y5PD2VkyA1wpk2D\nes6qqDQa2h8/ToZKRTtjYyIcHHjDwwNvUy1LRzeAJEmoslVUJ1dz/v/OU325GlM/U3omNrLSWzMr\nKTnGmTP9kCQlwcHfY2c3GH39ttX8UxAEQbg3KRSKZp0J0Mbu3bsJCgrCxsaG4OBgEhISMDe/899Z\nlUpFWFgYMTEx6GuxcqUtuN2/39XnG/wpuUhq7mEpKXJCM326vOSsvjSShqhzUby+53VWRKxgZODI\nhl/8s8/gajddHnpIrhcdXP8N6NVqNaaHDwMQ2707wfX4BdFYklri0luXKPuzjJLDJQDoW+hj6GhI\nx80dsQi1QM+4bbR+Kio6wOXLb1NW9gf6+tZ06bIfS8uwlg5LEARBEOqttSc1hw4dws3N7fq+liVL\nlpCcnEy/fv0YNmxYC0fX8kRSI+hEWpqc0Lz2mrwXv76Opx/n1d2vopbULBuyjO7u3et/cmYmPPEE\nXLgA5eVyNvXqq2DfsBLHkiTxwKlT/FFWhrpPH/SaafP6yZ4nKTtRhtdMLyzvs8RhuAMKvba1cb60\nNJr4+Keork7G3Lwz3t6zcXAYIQoACIIgCG1Oa09qhLrpOqkRe2ruQenpclGAqVPrn9CklaTx9m9v\ncyj1EAsGLGBMpzHoKRo4KxEWBhYWcPgweHiAltU/MlUq/igrY3enTs2S0GiUGi69eYmyE2V02tMJ\nu4H13+TXWlRVJZOQMIHi4gOYmQXSvXsc5uYdWzosQRAEQRAEnRBJzT0mM1OukPzii3+t/qpLuaqc\nj45+xNI/lzKl+xS+jvgac6MGLPWqrZWzqDFjIDcXjh6FGzrcauO/V66gAAY1oIJIY2StyiJjSQYB\nKwKwfcS2Wa6pS0VFv3P27AD09Ezo1GkPtrYPo2hoQioIgiAIgtCKiaTmHpKVJc/QTJwIb75Z97Ea\nScP6s+uZ+ftM+nr35czkM3hae9Z90o1qa+Hjj2HFCnnzzgMPyEmNo2Oj3sP0S5dYlJ7O3GZooKmu\nVJP0WhJZK7JwfNIRtxfcmvyaulJbW86ff4agVKYCYGPTly5d9rdwVIIgCIIgCE1DJDX3iIQEGDYM\nxo2Dt9+u+9ijaUd5dc+rGOgZ8MNTP9DTQ4uKXitXwjvvyBnUkiXQyM65Gkni7cuX+fjKFRb4+PB2\nu6bp/6KuUhM/Op6qxCoqz1cC4PmWJz7zmj6J0pWcnE1cuDAWSaqha9fjWFh0Q09P/FcXBEEQBOHu\nJQoF3AP274fRo2HBgrr70BRWFTJ973R2Je3io0c+IjIkUrsN5OXlYGkJH34I776rfeA3GHj2LHuL\niljq789Lbm5NsrG94kIFsSNiqbpYhd/nfljdb4VVDyudX0fXqqoukZu7iaqqyxQU7KCmJg9z884E\nB2/GzCygpcMTBEEQhCYhCgW0baL6mdAgq1fLMzObNsl7aW5FkiSizkXx5t43ebLjk8ztPxcrYy1v\n5isq5D0zrq5w8iQ0MvlIra5mc24ub12+zOEuXXjQxqZR491OaXQpp7qfQs9Ujw6rOuA82rlJrqML\nanUlhYW7uHRpOipVNhpNBfr6ljg6PoGpqS/29sOxsAht6TAFQRAEoUmJpKZtE9XPhHrRaOSellu2\nwKFD0KHDrY9LKkzipZ9fIr8yn22jt9HDvYf2F5UkePBByM6WN/A0wvb8fEbExgLgbWLCIl9fnSY0\nmloNSf9Koiavhor4CirjKrHsYUm3P7rp7Bq6JEkSp08/SGnp/64/Z2rqT2joNkxM2mNi0k5s/hcE\nQRDuOaIlgXCNSGruQpWVMHYs5OTA8ePg4PDPY1RqFR8f/ZhFxxfxzkPvMK3nNAwau+9i8WJ5pqa0\ntFHD5KhUjIiNZbyLC0v8/TFrgk66yTOTyVyWied0T6x7W2PV0wqr7q1zqZlSmcGJE4Go1eV07vwb\nVlbh6Os3bo+SIAiCILR1YpZGuJFIau4yWVkwYoQ8M/Pbb2Bs/M9jDqceZvLOyfja+XJy0kna2TRy\n071KBf/6F3zzjdyDxtJSq2ESKiv5MS+PD1NT0QM+9/PTeUKjqdWQOieVKx9dod2sdvjMad0FANTq\nSk6c6IhaXU7PnpcxNW3d8QqCIAiCILQEkdTcRc6dkyucPf88zJr1z+0sNxYC+OLRL3gs8LHGT9sW\nFMhTQQEBsG8f3H9/g4eYm5LCnNRUVJLEQFtb1gcGEuHggLGebpdT1ZbVcvqh01ScrcB9mjveH3rr\ndHxdUquriYsbRWHhLgDuuy9GJDSCIAiCIAi3IZKau8SuXfDcc/D55xAZ+ffXbi4EEP9KvPaFAK7J\nyYEdO+Qunt7ecOFCg4sCFNTUMO7CBXYWFPCCqytzfXxwMjJqXFw3qSmuoezPMspOlpE8IxmAoA1B\nOI9pnYUAamqKKSjYyaVLr1FTk09o6E5sbQeJksyCIAiCIAh1ENXP7gJr1sCMGfDDD9Cr199fyy7P\n5oUdL5BWksbXEV83rhDANUeOwEMPwRNPQFgYvPoqmJk1aIhfCwsZFBNDLysrpnt5MfxWG3904GTP\nk6iyVBg6GGL7sC3tF7ZvdZsKJUmiqOg3EhKeR6lMA8DSsic+PnOxs3u4haMTBEEQBEFoPk1W/Uyh\nUAwGPgP0gW8kSVp4i2P6AosAQyBfkqS+DQ1E0M4338AHH8CBA/+scLYlbgtTd03lha4v8MNTP2Ck\nr+UsSG0tfPqpfJErVyA2Vq4TvWCB1nEvycigv40N+7p00XqMupSfKye6UzQAIdtDcIhomqSpMSRJ\nIi3tPyQnvwOAtfWDhIbuwMKiUwtHJgiCIAiC0LbUmdQoFAp9YAnwMJAB/KlQKLZLknT+hmNsgKXA\nIEmS0hUKReu7e7xLffUVzJsHv/8O/v5/PV9YVciUX6ZwKusU20Zvo6dHT+0ucPIk7NwpVzUrKJDX\ntUVGwqBB4OSkddwltbXsKChgY1CQ1mPcTm15LUn/SiJ7VTZ6pno8kP4AhnaGOr9OY5SU/I/Ll9+m\npOQwAB4er+PjM09UNBMEQRAEQdDSnWZqegBJkiSlACgUik3ACOD8Dcc8A/wgSVI6gCRJ+U0Qp3CT\nZctg4ULYvx98ff96flfiLl7Y8QJPdHyCU5NPYWbYsGVh1/33v/Dll5CXB2PGwPz5YG3d6LgzlUrc\njx3DUKFgtLPu9rWUny0n4fkEyqLLAPB6xwufOT4o9FrPUjN5mdleYmIGYW7emYCAr3B2/j/09U1b\nOjRBEARBEIQ27U5JjTtw5Ybv04GbP/b3BwwVCsV+wBL4XJKk9boLUbjZ4sV/rQbzuVoQq1xVzht7\n3mDPpT2se2wd/X36azf4W2/BZ59BTQ1Mngzvvgvu7o2OeU1WFuMTEgBoZ2xMshZV0m6krlBTmVBJ\n5opM1GVqcqNyMW5nTMBXAbhN+n/27jO86iLt4/j3n14gjTQIECCU0EJAmoKKHbuCPqKw9l37rl3X\ntXdXXXR117KriGWxoqiIYgHpkEgLkACBdBJI7+WU//PiICEkQMrJSQK/z3V54ZmZM3MH90XunZl7\nerU5Xmerrk4nNfUOCgu/JTR0OsOHf9bp7vaIiIiIdFVHS2qac7PfExgDnAH4AasNw1hjmubOQwc+\n/vjjB/59ypQpTJkypdmBisPs2Y6kZskSR9ExcLw7c+2Cazk1+lQ23byJQJ9W7qiUlcGLL8K8eXDp\npU0/ctMK/87J4badO7kyPJx/DxpEkGfrj4PZ6+yUrSlj46kbAfAI8iB8RjhD3h1Cz+t6OiVeZ6qp\nyWTNmvp3gGJj5xIZeXUHRiQiIiLSeSxdupSlS5e2eZ4jVj8zDGMi8LhpmlP3f/4rYD+jhgVJAAAg\nAElEQVS4WIBhGA8AvqZpPr7/83+B703T/PyQuVT9rI1eeslxIuyXX6BvX7DZbTz404N8lPQRb17w\nJhcNuah1E+fmwtatjoSmtBTWrHFKvIUWC18VFHDj9u3MCA9n3rBhrZ7LbrWzb94+Uq5OAcBvmB8n\nJJyAu59zH+d0ltraXHbsuInCwm/w8OjBxIm78fBoYxltERERkWNce1U/SwQGGYbRD9gDXAEc8goK\nC4DX9xcV8MZxPO0fLQ1Ejuz55+GddxxHznr3drQ99PNDrNuzjk03byLMP6x1E2/fDpdcAiUlcNpp\n8NhjTom31m6n56pVWEyTyYGBzI2NbdU8FVsqyHwuk/zP8jEtJsHnBDNywUjcvJ37MGdb2Ww1lJYu\nIy/vferqcigpWQpATMxs+vS5s2ODExERETnGHTGpMU3TahjG7cAPOEo6v2OaZrJhGDft73/LNM0U\nwzC+BzYDduA/pmlua+/AjyfPPAPvvw+//gq99l8X+WTLJ3y67VMS/phAqF8rC86tXAmTJ8P48Y6d\nGjfnJQpfFRRgMU3MNhwxLF1VyoZJG3APdGfA3wcQNi0Mn76dr0KYaZqsXz+BysrN+PkNo2fPG+nd\n+x569Dhf92ZEREREXECPb3Zidjs8+qjjUc1ffoGe+6+MbMrbxJkfnMmPf/iR+MhWvPOyebPjtc7v\nvoOHH4annnJKvDbT5ON9+3g0LY3dNTVcFxnJu63coalOr2Zt/7X4DvFl/LbxnaqK2e9yct5g585b\nD3wePXoVgYEndmBEIiIiIl1buz2+KR2jshKuvRaysx1Hzn6vflxUXcS0T6fxz6n/bFlC89578NFH\nkJEBO3fCxRfD55/D9OltjnVfXR0XJiWxrtxRTnlyYCBfjRjByG7dWjVf/hf5bL1sK+7d3Bm9fHSn\nS2gyM/9OTs5r1NZmExh4CkOHvo+XVy/c3DrXezgiIiIixwslNZ1QZqYj54iLc1Q589l/4spmt3Hl\nF1dyaeylXDny0KtNh2GacP31jqTm/PPhvvsciUxIiFNi3VZZyT27drGuvJzv4+I4JTAQX/fWXd6v\n3FbJlku3UL2jmrArwhj+8XCnxOgMdXX72L37IYqLF1Nbm0Vk5HVERd1B9+6jOzo0ERERkeOekppO\nZuVKuPxyuOceuPtuOPhKxkM/P4TNbuP5M59v3mTZ2TBypKMIwLJlcPLJTo21yGJheEICwR4eLI6L\n46xWJkqWEgu7799N7n9ycQ90J25xHMFnBDs11taw2WooL19LdfVutm+/HoC+fR8iImIW/v5DOzg6\nEREREfmdkppOZM4ceOABmDsXzj23Yd/n2z4/UBjAw60Z/9nq6uD008HdHRISYOxYp8f7TEYGkV5e\n7Bw/nm4eLfufkmk3KVxYSNpDaVRuqQQg4uoIYufEdorjZjZbJcuXO47Pde8+jtDQ6QwZ8jaens7Z\n4RIRERER51FS0wlYrXD//fDNN44KZ0MP2QTYlr+NWxfeyvezvm9epbPiYoiPdyQ2GzZAnz5Oj/mH\noiLmFxTwp549W5zQAOy4dQe5b+XiP8KfEd+MIPSCVlZwczK73Uph4bds3XopABMnpuPjE32Ub4mI\niIhIR1JS08FKSmDGDLDZYN06CD7k1FVZbRnTPpnG38/6O2N6jjnyZBUVjm2eBx+EmhooKIDAQKfH\n/GR6Oi9kZvJ/4eHc9fujOc1grbCybcY2ylaWYS2x0u+JfvR7tJ/T42uturp9rFrlqMjQvftYYmPf\nU0IjIiIi0gWopHMH2rEDLroIzjkHXn4ZDt3wsJt2pn86nUj/SN644I0jT/bhh3DDDY7CADNnOs6x\ntbKc8pH8UFTE1M2bmR0Tw829euHTzKIAtmoby/2WAzD47cGEXhKKV5iX0+NrrfT0p0lPfwTD8GLy\n5BLc3X07OiQRERGR445KOncxX38NN94Izz7r+LMpL6x4gbyKPD6e/vGRJzvvPFi0CKZNg7//HWJi\nnB6v3TRJqqxk6ubNjPL3584WHGmr2llF0nlJAJxSewpuXs575LOtamoyycubQ3r640RHP0L//k92\ndEgiIiIi0kJKalzMbocnnoB333UkNhMnNj1u8a7FvLbuNRL+mIC3h/fhJ3z8cUdCs2GD4x5NO3gp\nM5N38/JIrqoi1NOThXFxzf7urvt2kfVSFm5+bgyfP7xTJTQ2WzVr1jiOl/XqdRvR0Y92cEQiIiIi\n0hpKalyouBhmzXJcfUlMrH9Q81DpJelc/eXVfHLZJ0QFRDUeYLfDO+843p5Ztcpxh6YdEpp/ZGXx\nSnY2WbW13NqrF/8bOpT47t2b/f2M5zLIeimL6IejiX40GjfPzpHQWCzFZGY+T0HBfABOPrkSd3e/\nDo5KRERERFpLSY2LJCXBpZfCBRfAiy+C52Eeny+qLmLaJ9N4YNIDnNrv1KYHnXUW5OfD1Vc7Xuf0\ncs7dlBqbjQqbjQd372Z3TQ1LSkq4v08frouMJNbfv0Vz5byZQ9pDafS6pRf9n+rvlPjaorR0DXV1\nueze/Veqq7cD0KfPvYSETFVCIyIiItLFqVCAC3z8MdxxB8ye7dipOZyUghQunHchFw+5mBfPehHD\naOKO1E8/OZKazEynlmo+feNGlpSUHPh8TUQEsyIiOLMVD2qaNpNfPX4lYlYEQz/ouEcqbbZq0tL+\nhtVaQl7eHIKCpgBu9OlzHyEh5zT99ysiIiIiHaa1hQKU1LQjq9VxMmz+fMc/Rzoh9n3q91z95dU8\nf+bzXD/6+qYHrVsHZ5wBJ58M333nlBgrbTbO37yZX0tLSZ84kWgfn1bPVbqmlMJvC8l8JhOASQWT\n8OxxmC2pdlJZuZXa2hz27HmDgoKvAOjX70n8/IYQHv5/Lo1FRERERFpGSU0nk58PV1zhOGY2bx4c\nbsPDNE1eXfsqL6x8gc8u/4zJfScfftKJEyE7GzIyoJmllI9kRUkJJ2/cCMAHsbHMioxs9Vx57+eR\nck0KvkN8CT4jmOhHovGOPEKBAyez2WpYvbo3Vmshvr6DMQw3eve+m8jIa3Bz6zylo0VERETk8FTS\nuRPJy4OTTnI8qvnUU4fPP+psddy28DbW5qxl9Q2r6RfUr/Ggigr44APHRLm5sHKlUxKaX4qLOWPT\nJsZ2786K0aPxdmvdJX5bjY2atBoyn8sk8tpIYuc4/22coyktXcWGDScDdsaMWUNAwASXxyAiIiIi\nHUdJjZNVVcHFF8M118Bjjx1+XH5lPtM/nU6Ibwgrr19Jd+8mqor9+CNcdx3k5Dgmu/de6NatzTGu\nKCnhjE2bODUwkKWjR7f4+5VbK9l62VZqMmuwV9kB8Aj2IOzysDbH1hIWSzEbNkymqmobnp7hjBmz\nGl/fAS6NQUREREQ6no6fOZHd7jhy5uUFH34Ih7uHnrQ3iYs/vpgrR1zJU6c/hZvRxC5JXZ3juFnv\n3o7zay2sPtaUbwoK+EtqKmk1NZwVHMzXI0bg08Jdn+KlxWw6bRNufm6MWDAC34G++PTxwXB37aX7\n6up01q51VFUbNWoJQUGn6uK/iIiISBen42edwMMPO06I/fTT4ROaRTsXcc1X1/DK1Fe4auRVTQ9K\nTYVBg2DoUEfJNCckNFU2Gxdt2cKpgYGsGzOG0FaUgTZNk02nbSJoShBxP8bh5uH6d2dM04bdXsva\ntf1xc/Nl8uRi3Nxcd3dHRERERDofJTVOMmcOfPIJrFkDhysg9tHmj7hn8T0smLGAE/uc2LCzqgoe\neADKy2H5ckeptPXrD58dtVBGTQ0AP8fH496KOQsXFZJ0XhIAcT+4PqGxWIrZuPEUKiu3HGibPLkU\nNzfXVlcTERERkc5HSY0TLFniyEeWLYOww1wreXXNq7y8+mV+ueYXhoUNazxg1iz48ktHdnT++XDR\nRU5LaAC2VVUR6eXVqoRm77y9JF+VjFekF6NXjcbNy3UJTWXlVjZvPo/aWkeZ6LFjN9Kt2yiXrS8i\nIiIinZ+Smjbavt1R5WzePIhtovCXaZo8suQRPtv2GcuvW050UHRTg+CXXyApCUaMcHqMWysruWzr\nVi47XMbVhJqMGgq+LmDPv/dQlVJFjwt7MHz+cJfu0NTUZJCQMAJ39wDi45cRFHSyy9YWERERka5D\nSU0bVFTAhRfCM8843sQ8lM1u49aFt7I+bz0rrltBmH8TSUV1Ndx4I5SWwpAhTo8xvbqaEQkJDPT1\n5bPhw4863lZtY/3E9VRursS7jzfBZwQz7NNhdBvZ9qprzWG1llFUtJiMjKeorNyMj08/JkzYhdFU\nMQUREREREZTUtMmdd8KkSY6c5FC11lpmzp9JSU0Jv1z9S+OSzaWl8N578PrrUFAAX33leKnTib7I\nz+eyrVsBWH2U0s3V6dUkz0ymbFUZACMXjaTH1B5Ojedotm2byb59/wPA338ksbHvERl5jUtjEBER\nEZGuR0lNK335peMuzcaNTfdf89U1GIbBwqsW4u1xSHWuwkL4wx8gPR3uugtuuskpD2oe7KO9e5mV\nnMykgACWxMfjeYTHNW1VNtb2XwtA7NxYepzfA88erruAb7WWs3JlD0zTwogRCwgNvchla4uIiIhI\n16ekphX27IGbb3ZsrnRv4s3ML5O/ZGPeRjbevLFxQgOOqgKLFsFvv8GYMU6Pr8ZmY1ZyMqcHBfFz\nfPwRx5b8WsLGKY7MbELqBHxjfJ0ez5HU1e1j1aoIAE48MRtv7yiXri8iIiIiXZ+Smhay2+G66+CW\nW+DEExv3l9SUcPui2/l4+sf4eDRR29k0HVUFvv++XRIau2ly8RZH2eOvmig6UPRTEZWbKtn70V4q\nNlQA4DfUj3Fbx7n08UqrtYKMjKfIyvo7AJMmFePpGeSy9UVERETk2KGkpoVee81xHebhh5vuv2/x\nfVw85GJOjm6iUldyMkyb5niTpqmMyAnu2LmTxcXFfDxsGN09HP957VY7u+7Zxb55+7DkW+g+vjte\nkV4M/3I4IWeF4O7v3KNvR1NRsZnEREdZ5sjI6xgy5D8YhmtjEBEREZFjh5KaFtiyBZ5+GlavBo8m\n/uaWpC3hh10/sOXWLY07330XbrgBAgNh5UoICGiXGBcWFvKPmBiuCA8HwFJsYeu0rZQsLaHXrb2I\nuiMK/1j/dlm7Oaqrd5GYOAoPjyAmTSpUVTMRERERaTMlNc1UWwszZ8ILL8DAgY37qyxV/PGbP/Lv\n8/9NgPchCUtamiOhufVW+Ne/2iU+u2kSn5hIRm0tU0NCAEh/Kp30R9MBGPrhUCJmRrTL2s1VWZlC\nQsJQAMaP366ERkREREScwjBN0zULGYbpqrXawz33OHKTL76Apq6e3P/j/WSVZTFv+ryGHUVFMG4c\njBoF8+e3W3x/3rmT13JySBgzhrEBAVgrrKzovoK+f+1L/2f6u/S+TFPS0h4jI+NJ3N0DOPHETDw8\nAjs0HhERERHpfAzDwDTNFv/iqp2aZkhIcNztT0pqOqH5bc9vzN00l6Rbkhp21NbC8OGQlwfffddu\n8c3bu5fXcnKYHRPDGL9uFH5fSNK5SXiGeTLg2QHttm5zmKaN9PTHych4mqiovzBw4OwOT7BERERE\n5Nii8z/N8NBD8Nhj0KOJtyiLq4uZ8cUMZp8zm3D/8PqOd98FHx8oK3MUCBgypF1is5kmf0lN5Yyg\nIO7o3ZvE+ESSzk0i8JRATsxqn2IELZGe/gQZGU/Tp8999Ov3mBIaEREREXE6HT87ip9/drxJs20b\neB7yHqXVbuW8j85jeNhwZk+dXd9htzsKAjz8sOMeTVOP2ThBdk0NQxMSqLDZyJg4kT7e3vzq9itx\nP8YRcmZIu6zZXDZbNWlpj5Cd/TI9e97IkCH/6dB4RERERKTz0/GzdmCajl2aJ59snNCA4x4NwItn\nv9iw44MPwM0N7rvP8aeTJZaVMSs5me3V1Qzw8WHtmDH09fEh5boUAAJP6vj7Kjt23Mzeve8TEfEH\nBg16vaPDEREREZFjmJKaI/jqK8e1mCuuaNw3d+NcvtnxDWtvXIuH2yF/jffe6/inHRIagLdycymz\n2dh70kmEe3lRtLiI1EW55L2Xx+A3B+Pu13FvvhQV/UBa2iOUlycwaNC/iYq6pcNiEREREZHjg+7U\nHIbN5jg99swzjXOTNdlruPfHe1kwYwEhvgcd80pMhMGDoaAA/vIXp8e0t66OMzdu5L+5uTzUty/h\nXl5U7ahi8zmbKVleQt8H+xJ+ZfjRJ2one/f+j82bp+LlFUF8/HIlNCIiIiLiEtqpOYwPP4TgYDjv\nvIbtOWU5TP90Ou9e9C7DwobVd1RUOEo3h4fDvn1Of1xzQUEBL2RmUmix8NOoUZwRHAzAb+N/wyvK\nixMSTujQS/hWaznJyTMJD7+SYcP+12FxiIiIiMjxR0lNE2prHdXOPvigYQnnGmsN0z6dxm3jbuPC\nIRfWd1gsjgwIHPWfw8KcGo9pmszcto0+Pj58MmwY8fsLD5T/Vo6t1Ma4pHEdltCUl68nJeVaKisd\n5awHD36jQ+IQERERkeOXkpomvP02DBsGJ5/csP3Pi/5Mn4A+/HXyXxt2TJ/uKN+8Z4/TK52tKS1l\nZnIylXY7i+Pi6OPjc6Bv74d76TamGz59fI4wQ/vavv2PuLt3Z/jwLwgLm9ZhcYiIiIjI8UtJzSEq\nK+HZZ2HRoobt76x/h+WZy1l347qGuyKffALffAPLljk9obHY7ZyycSPjunfni+HDDyQ0pmmS9XIW\n2a9k0++Jfk5dszlstmq2bp1OaekqbLZSTjghke7dT3B5HCIiIiIioKSmkTffhEmTID6+vi1xTyIP\n/vwgy69bTnfv/YnLd9/B1VdDYaHjrNqJznvo0mq3k1Bezh07d2IxTRaPGoW/e31Fs81nb6b4p2J6\n39Obfo/2c9q6zVFbm8vq1b0AiI39gKCgKfj49HZpDCIiIiIiB1NSc5CqKnjpJfjhh/q2gqoCpn86\nnTfPf5PY0FhHY3IynH8+PPII3HVX/X0aJ3gjJ4dbd+4E4IIePfi6X78GCU3Rj0UU/1RM3A9xhJzt\nugc2a2tzKS1dwa5dd+PuHsCkSYW4HVrKWkRERESkA+i30oO8/bZjwyUuzvHZarcy4/MZzBg+g+nD\nptcPfPVViI11vMrpREkVFdy6cyd/iYpi9sCBjS7/V+2sYvPZmwmaEuTShKaychsJCcMBd0JCziI6\n+hElNCIiIiLSaeg30/2qq+Hvf4eFC+vbHv7lYQCeOeOZ+sasLJg71/EypxNtr6oiLjGRQb6+vBQT\n0yihqd5VzbrB6/AI9mDkopFOXftITNMkM/M5fH0HMmHCTpetKyIiIiLSXHp8c7933oGxY2H0aMfn\nhTsWMm/LPOZNn4fH77sSJSXQty/06AFnnum0tZMqKohdt47e3t7smDABj0Ne+8x9J5e1A9fiFenF\nxLSJuPu4H2Ym50tOnsnevR8SGXm9y9YUEREREWkJwzRN1yxkGKar1mqp2loYOBC+/NKR2ABcOO9C\nZgyfwcy4mY6GmhqIioKzz4aPPgI35+SDNTYbvsuX09/Hhx3jxzdKaABWRq4k+LRghn40FMPNNe/R\nmKZJWtrfyMx8jsGD36JXrz+5ZF0REREROX4ZhoFpmi3+hVfHz4B333Xco/k9oam2VPNr+q/MvWSu\no2HLFvjvf6GoCD780GkJTYnFQlxiIgCL4uIaJDSmzaRocRHJVyVjLbEy4MUBLktoysrWsn79RAD6\n9XtSCY2IiIiIdGrHfVJTVwfPPQefflrftjR9KaMiRxHiGwKmCWPGOM6lLV8O7s45+pVWXc2AtWsB\nSBgzhiF+fgf6qtOqWTvA0Rc0JYiBrwzEp7drHthMTb2L7OxX8PcfwahRS/DyCnXJuiIiIiIirXXc\nJzVz58LQoTBxYn3bwp0LuWDQBY4P//d/YLHAzz9Dt25tXs9qtzNh/XrWV1Qw3M+PpfHxhHp5Heiv\nya5h7YC1uAe4M3H3RDx7eLZ5zeaw2SrZseNm9u79kD597icm5gWXrCsiIiIi0lbHdVJjscCzzzpO\nlP3ONE0W7lzIN1d+A7t2weefw8qVTklo1peXc8JvvwGwYvRoJgUGNhqz81ZHhbHJxZNddtwMIC3t\nEQoKviEmZjZ9+tzpsnVFRERERNrquE5qPvgAYmJg0qT6tm3527CbdoaHDYezR0NEBJx0UpvX+mjv\nXmYlJ3N6UBAfDR1KpLd3g3671c7OW3dS+E0hQ+e5riAAgGnayc6eTd++f1VCIyIiIiJdznGb1Fit\n8MwzMGdOw/bfj54ZP/8MmzbBL7+0ea315eXMSk7mktBQvhg+HDejccKS/1k+uf/JZfB/BhMxI6LN\na7ZEZWUSANHRf3PpuiIiIiIiznDcvlPzv/9Bnz5wyikN2xfuXMj5g8+H66+HE0+EU09t81oXJiUR\n7unJ/MMkNLZqGztu2kGPi3rQ68ZebV6vJcrLN5CYGI+fXyzu7v4uXVtERERExBmOy50aqxWefhre\neqth+96KvWzI3cBpQaMhKwuSk9tcvnlJcTF76urYOX48RhMJDUDaw2nYym0MnD2wTWu1lM1WTWrq\nnXh49GDcuG0uXVtERERExFmOy6Tmk08cV2WmTGnY/tjSx7hh9A34vvcheHqCf+t3Lqx2O9uqqjh9\n0yZuiIxk4EElmw9mq7Gx7+N99L6nN74DfFu9XkvZ7bUsX+6IaejQjw6bcImIiIiIdHbHXVJjszl2\naf75Tzj49/ikvUnMT57PztO/gvsnwS23tGmd0zdtYnlpKdHe3rwxeHCTYw5+jyby2sg2rdcStbW5\nrF7tOOZ26qlWDMM5b++IiIiIiHSE4y6p+fxzCAqCM8+sbzNNk7sX381jJz1E4JnnQ3w8vP5669fY\nt4/lpaWkjB/f4FHNQ22YtAH3QHcmFUzCzcN115uysl4GYNKkYiU0IiIiItLlHVdJjd0OTz0FL73U\ncJdm4c6FZJdlc1NqIJSWwvr1DQc0k2marCkr45H0dO7t0+eICU3h94XU5dYxYfcElyY0mzZNpbj4\nB6KjH8HTM8hl64qIiIiItJfjKqn54gvw84Nzzqlvs9gs3Lv4Xl4++2U83l4CM2e2KqEBuDolhQ/3\n7qW3tzd/6tnzsOMyns0g7W9pRMyKwLe/a+7RlJev57ffTgBg9OiVBASc6JJ1RURERETa23GT1Fit\n8Mgj8MorDXOWNxLfYJQRyXmzv4U334Qvv2zV/LV2Ox/u3cvLMTHc3afPYcfV7a0j7W9pDHh+AH0f\n6NuqtVrKbq/jt99OwMdnAGPHbsDDI8Al64qIiIiIuMJxk9TMmQM9ezbcpSmqLuLpZU+zLfUcjLff\nhDVrYMKEFs/9j6ws7tm1izBPzyMmNKZpsnHKRgB639O7xeu0Rl3dPlJSrgdg/PjtuLkdN//JRURE\nROQ4cVz8hltVBU88AfPnN9yl+dvPf+Nu98mEvv2h49GaViQ0y0pKuGfXLi4LC+P1QYMOO840TZZ5\nLcO0moxeOdol92gyMp4hLe1hAGJj5yqhEREREZFjkmGapmsWMgzTVWsd6oUXICHBUfnsdz/u+pEb\nvr6B1CVxeJVXwpIlLZ630GIhdOVKTgsK4pf4+MOOy/5nNql/SQVgUuEkPEM8W7xWS9hs1WzadCZl\nZasIC7uCoUPn4ubm3a5rioiIiIi0lWEYmKbZ4gvux/z/dV9U5Kh2tmJFfVtpTSm3zL+e1OfK8Spe\nCCkprZp7fn4+nobBNyNHNtlvt9rZctEWihYVETo9lOGfDXfJI5dJSedRVraKYcM+Jjz8inZfT0RE\nRESkIx3zSc3zz8Oll8KQIfVtd/5wJ7fXjcar+BuorQUvr1bN/XpODpeHheHv3vRbL7sf2E3RoiKG\nfzGc0EtCXZLQmKadkpKljBjxFaGhF7f7eiIiIiIiHe2YTmqys+Gdd2Dz5vq2r7d/zbKMZfx3UQRc\nfXWrE5rEsjI2V1by2mHu0VjLrGT/I5uYf8QQNi2sVWu0xu8PawYHn3mUkSIiIiIix4ZjOqn55z8d\neUtUlONzYVUhN397M6typuK+cg58NK9V82bV1DBu/Xr6entzSlDjByxN02TXPbsAiLo1qtXxt1RF\nxSZ2776f3r3vwt3d32XrioiIiIh0pGM2qamudpRxXr26vu22727jjuCp9Lt3jiPjiY5u8bw1Nht9\n16zBHdg9cWKDPtM02XXvLrL/kQ1AzMsxuHm3f5UzgMzMl9i9+z68vfsQE/OiS9YUEREREekMjtmk\n5pNPYOxYGDjQ8Xlp+lJ+y/2NeQ/vg6AguOWWFs9pmiaD160DIPPEE3E/6I5MbU4tG0/bSPXOanrd\n1ouBrwx0SdlmgJqaLHbvvo8+fe5VQiMiIiIixx3X/NbdAf71L7jttvrPczbO4bZxt2GUlTnqO3u0\nPJ97KSuLrNpato4bRy/vhiWSt162leqd1Yz4ZgSDXx/ssoQGICfnX7i5+dGv3xMuW1NEREREpLM4\n6m/ehmFMNQwjxTCMnYZhPHCEceMMw7AahjHNuSG23Lp1UFAA557r+FxRV8GClAXMDDrF0RAe3qp5\nP8/P5/aoKIb5N7yvkvtuLmVryhj53UhCLwhtS+jNZpo2amqyWbrUICvrBXr1uhl3dz+XrC0iIiIi\n0pkccbvCMAx34HXgTCAHSDAM42vTNJObGPcC8D3Q/nWLj+Jf/3KcLvu90vL85PmcHH0yYfc+CqGh\nEBDQ4jkfS0tjXXk5L8fENGgvX1/O9hu20/uu3gSfEeyM8I+qqmo769bFAuDlFcnEiZm4ubXvg54i\nIiIiIp3V0c5gjQdSTdNMBzAM42PgYiD5kHF3AJ8D45wdYEsVFMCCBfDyy/VtczfN5YGgC2Dh3fDW\nWy2ar9Zu5+YdO3gvL4+XYmKYfEi1s5x/5+A70JeYl2Iw3FyTz2Vm/h0fn/5MmJCKYRyzJwhFRERE\nRJrlaL8RRwFZB33O3t92gGEYUTgSnTf2N5lOi64V3nkHLrnEsSEDkFmayca8jUaG2ugAACAASURB\nVJy2oQSmToU//alZ85imyY6qKm5ISeG9vDzeGTKEe/r0aTSuaGERPW/q6bKEBqC2NouePf+ohEZE\nREREhKPv1DQnQXkFeNA0TdMwDIMjHD97/PHHD/z7lClTmDJlSjOmbz67Hd58Ez79tL7tw80f8n/D\n/g/PNxLhzOY/SHnltm18kp/PEF9f3h0yhOt69mw0pvC7Qury6gib7rrHNQEMwwt//5EuXVNERERE\nxNmWLl3K0qVL2zzP0ZKaHODg7Yk+OHZrDnYC8LEjnyEUONcwDItpml8fOtnBSU17WLLEUa153P5D\ncKZp8v6m95lz8RwovQ/i45s1T25tLZ/k5/PawIHc3rt3k2Os5VaSzk8i8ORAfPv7OutHEBERERE5\nbhy60fHEE62r5nu080uJwCDDMPoZhuEFXAE0SFZM0xxgmmZ/0zT747hXc0tTCY0rzJ0L11xT/3lV\n1irspp2JvSfCypX1Z9KO4JWsLCauXw/AtLDD78BUp1YDMPI71+6YVFRsoqhoIY7aDCIiIiIicsSk\nxjRNK3A78AOwDfjENM1kwzBuMgzjJlcE2Fzl5fD113DVVY7PZbVlXP/19Tx26mMY//qXo3HUqCPO\nsa+ujrt27WKYvz/5J53U6C2ag225aAvefbzx6Oa690tN0yQxMR5PzzBCQs522boiIiIiIp3ZUX8j\nN01zEbDokLYmS4iZpnmdk+JqsS++gFNOcTxBY5omN359I1OipzBz5FVwagjMnn3UOb4vKsIdWBQX\nd8RxW/9vK7XZtZyw4QQnRd88OTmvATBp0j6XrisiIiIi0pm5bpuhnc2dC7ff7vj319a9RmpRKqtu\nWAVVVVBSAtdee8TvP5aWxpMZGZwdfOS3Zmr31JL/WT6D3x5M9/juTor+6LKzXyM19S/ExLzksjVF\nRERERLoCwzRdU4HZMAyzvdZKS3MUB8jJgQ35a7ho3kWsuXENA4IHwNKlMGMG5OUdcY7gFSu4p3dv\nHujbF0+3pk/lmabJypCVYMCkwknsL47QrkzTJCfndVJT/0xY2OUMH/7p0b8kIiIiItIFGYaBaZot\n/iX7mNip+eADR97i4WnjugXX8cb5bzgSGnBcthl35DdB8+vqKLFauSUq6rAJTdnaMrbfuB1riZXx\nO8e7JKEBWLEiAJutgt697yIm5uWjf0FERERE5DjT5ZMa04T334d58+DzbZ8T7BPMtKHT6gfccQcM\nGnTEOR5PTwcgyOPwfx2pd6XiFeVFzOwY/Ab6OSP0oyotXY3NVsGkSUV4eh75WJyIiIiIyPGqyyc1\nK1eClxeMOcHOdW8+xYtnvVi/i2KakJUFX3112O8XWSz8e88e3hw8GPfD7L7s/utuylaXMXrFaAIn\nBbbHj9GIzVbDhg0n4e8/SgmNiIiIiMgRHO2dmk7vww/hD3+ABdu/wtfTl6kDp9Z3Tp0Kdjv079/k\nd1/NzqbHypX4ublxY8+eTY6xllvJfD6T6IejXZbQAGzYMAmAkSMXuGxNEREREZGuqEvv1NTVweef\nQ0KCyaU/PMmTpz1Zv0tjtcLixY6zaYGNk5Eyq5U7U1OZFRHB+7Gxh70jU7m5EoB+T/Zrrx+jkcLC\nhVRUrGf8+B34+ES7bF0RERERka6oSyc1ixdDbCwk1X0DwIWDL6zvzM52/Hn55U1+9/d7NHOGDDls\nQpP2WBoZT2YQcFKAywoDbNt2Jfv2fUyPHhfh53fku0AiIiIiItLFk5qPPoKrrjJ5atlTPHrqow0T\njxdfdPzp49PoezbT5JXsbB6OjsbjMNXOADKezKD33b2JeSnG2aE3KSnpQgoLv2Xw4P/Qq9eNLllT\nRERERKSr67J3aioqYNEiiD55FeW15VwSe0nDAYWF8MQTTX738fR0TOD6yMjDzl+TVQPAgOcHuGSX\nZvfuv1JY+C1Dh36khEZEREREpAW67E7NggUweTJ8k/EB14y6BjfjoPzMNB3v08Q0vcOSXVvLbb16\n0d/Xt8n+wkWFJJ2XhN9QP9w82y/vM02TysrNbN16GdXVqfTv/wwREVe123oiIiIiIseiLrtT8/77\ncPmMWj7b9hkz42Y27Pz2W/juOxg5ssnv1trtjO7e/bBzFywoIPCUQMZuGOvMkBuw2y3s2fMWiYnx\ngEFc3PdERz/UbuuJiIiIiByrumRSk5ICGzeC98iFjIoYRd/AvvWddjtcdBFMmgRxcY2+W2SxMG/f\nPoIP89BmWWIZuW/lEnppKG7e7ffXk5b2CDt33kJU1O1MmLCDkJBz2m0tEREREZFjWZdMal5/Hf70\nJ/g4+X3+EPeHhp2ffeb4c/78Jr9bbLXSw8ODaWFhjfpy5+Syftx6DA+DXjf3cnbYB1RUbCEr6wUG\nDnyVQYNea7d1RERERESOB10uqSkpgf/9D664rpCl6UuZPmx6wwErV8IFF0B4eJPfr7LZmmwv/rmY\n7ddvp8eFPZhUOAl3H3dnhw5AZuYLJCaOxNd3CFFRd7TLGiIiIiIix5MuVyhgzhyYOhVWFn3OOQPP\nIcA7oL6zpgZeew0WLmzyu2VWK/GJiYR7eTVoz/8qn62XbqXHhT0YsWBEu1U7q6jYwu7dDxIVdbt2\naEREREREnKRL7dTYbI6c5c9/ho+3fsyVI65sOGD1asef557b5PfPT0rCDqwZM6ZBe/XOakLODWHk\n1yPbtXxzVtaLuLt3JyZmdrutISIiIiJyvOlSSc3ChRAaCr2H5rApbxPnDjwoedm3D2bMgIcegsMk\nJitKS/ly+HCiD3mQM/+LfHwGNH6k05lKSpaxd+/7DBjwHG5uXW6DTERERESk0+pSSc0778Ctt8Jn\n2z7l4tiL8fbwru/88kvHg5v339/kd9eWlQFwVkhIg/b8L/IpX1tOj/N7tFvcADk5/yIg4CSiom5r\n13VERERERI43XSapKSuDJUvgkksOc/QsORkuvhgCAxt9126a3LFzJ2cEBeHvXl8AwLSb7LhlB37D\n/Qg+PbjdYrdYCsnP/5Tw8CuPPlhERERERFqky5yDWrgQTj4ZCu27SC9J5/T+pzcc4O4OJ53U5HdP\n37iRhPJyto0bd6DNNE3WDlqLJd/C6OWj2/VNmo0bHbGGhV3abmuIiIiIiByvusxOzRdfwPTpMG/L\nPC4behkeB99LKSqC9eshuPFuy7u5ufxaWsr3cXEM9fc/0J7xdAY1u2uIXxaP3xC/dos7Pf0JKis3\nM3r0ary9o9ptHRERERGR45VhmqZrFjIMs7VrVVZCr16wI9XKuA8HsGDGAkb3HF0/ICzMURwgPR38\nGiYoYxMT6e3tzZcjGpZqXtFjBWGXhzHkzSGtiulo7HYLOTmvs2vX3fTr9yT9+j3SLuuIiIiIiBwr\nDMPANM0WlyPuEsfPFi2CCRNgRf4C+gb2bZjQvPYaFBRAaWmjhAYg32LhpZiYxqWa7dD7jt7tEq9p\n2li2zPEWTs+ef1RCIyIiIiLSjrpEUvP553DZZfDaute4Y/wdDTsXLoQrroCAgEbfK7ZYyKytbVDC\n2VZlY3Xv1VhLrHhGeDo91qqqVBIT4wE48cRsHTkTEREREWlnnf5Ojc3m2KkZNHkzO4t2Mm3otPrO\n996DH35wvE1ziEqbjR4rV+JlGPT39T3QXpNZg7XYyoTdE/AK9XJ6vAUFX2C3VzNmzFolNCIiIiIi\nLtDpd2pSUiA8HObtep2bT7gZT/eDdlduuw1efx3i4hp9L7+uDhPYN2nSgTZ7nZ2kC5Lw6umFb3/f\nRt9pq337PmH37gfp3/8ZAgLGO31+ERERERFprNMnNQkJED+xhM+2fUbKbSkNO6uq4PLLD/vdaG9v\nAj3qf8SiH4qo2VVD/PJ4p8dZVraWbdtmEB4+g+joxjtHIiIiIiLSPjp9UrNuHXSL+5GTok4ioltE\nww6Abt2a/N4/c3LIqK1t0Jb/aT6BpwQSNDnIqTFarRWsXz+R7t0nMGzYPKfOLSIiIiIiR9bp79Ss\nWwdFwT9y9oCz6xstFrj7bhg7tsmKZymVlczOzmZ2TMyBtur0avZ+uJfQi0OdGp/dbmHlyhAARo9e\n7tS5RURERETk6Dp1UlNTA9uSTTaWL+asmLMcjUlJcMIJsHIlvPRSk997c88e+vv4cEdvR8nm2j21\nrO2/FoCef+rplNhM0yQz8wWWLfPCNC1MmJCGm5vzq6mJiIiIiMiRderjZxs3Qv8TUikxLQwNHepo\n/Oc/ITgYdu2CAQMajN9XV8f4334jo7aWx/v1w33/2zT5n+UDMDFzIh7d2v4jWyzFB3ZnIiJmMXjw\nf3B39znKt0REREREpD106qRm7VoIGfsj42POrn88c/FiuO++RgkNwLbKSjJqa1kWH89JgYEAVGyu\nIPXOVMJnhOPTxzmJx65d9wAweXIJHh6BTplTRERERERap1MfP1uyBGqiFnPWgP1Hz+rqIDMTJk8+\n7HdODQzk5KAg3A0D0zRJHJWIe6A7sR/EOiWmPXv+S17eHPr3f04JjYiIiIhIJ9BpkxqLBZYss7Cj\nbilnDjjT0ZiW5vhz5Mgmv/P+3r1U2+0HPhfMLwBgwo4JuHm0/Ue12+vYseOPhIVdQd++D7R5PhER\nERERabtOm9SsWQOR41YREzKAcP9wR+Ozz0JoKLi7NxqfX1fHnLw8LuzR40Db7r/uJvisYLzCvZwS\n0759nwAwfPjH9cfhRERERESkQ3XaOzWLF4PPhPe5auRVjoaaGli0CB5+uMnxj6an4w483K8fAFU7\nqqjeWU3s+20/dmaaJsnJs9i373+EhJzX5vlERERERMR5Ou1OzaKfK9ntPZ9ZcbMcDfPnQ34+XHll\nk+P/m5vLM/uLB9iqbWw+bzNufm4EjAtocyx1dXvYt+9/DBz4KiNGfNXm+URERERExHk65U5NYSFs\nNT/n9H6TiewW6Whcv96R0ISHNxp/8/btWE2TP0REYLfaWe7neAQzfnk8hnvbj4lZraW4u3ejd+8/\nt3kuERERERFxrk65U/PLL+B30ntcP/paR0N1Nbz5Juw/WnawGpuNt3JzeX7AAHp5e1O0qAiAUyyn\nEDQ5qM2xVFamsHnzeXh4BLd5LhERERERcb5OmdR89etuagO3cOGQCx0N77wDlZXw0EONxt6ycycA\n9/bpA0Dmc5kEnhrolGpnRUU/kJAwFLu9ikGD/t3m+URERERExPk65fGzH/Le58LxV+Llvr9qmYcH\n3HQTdOvWYNxzGRm8l5fHu0OG4L6/GlnZ6jJGfDOizTHs3v0QmZnPERh4CqNH/9rm+UREREREpH10\nup2ajGwLxf3e5b4zr69v/P57qKhoMO6DvDweSkvjkehoruvZs77DDXqc24O2KClZTmbmc/TufacS\nGhERERGRTq7TJTV///ZTQowYxvSKr2/My4OpUxuMuzolhaf69ePJ/v0PtJWsKAE7bZaScjU+PgOI\niXmp7ZOJiIiIiEi76lRJjWmafJz1ItMj76tvXLgQ1q6FQYMajPU0DO7v2/fAZ0uxhY0nbyTw5MA2\nVTwzTRs1NekMH/4ZhtH4kU8REREREelcOlVS8+PuHymvtHLb2ec6GqxWuOACuPhimDDhwLg3cnKw\nmGaD4EtXlgIQ+17bHtssKvoeAD+/oW2aR0REREREXKNTFQp46pcX8fntPkbM3r/Tstzx3gyffHJg\nzOjERDZWVPBg3754uNWnNal/TiXwlEB8B/i2am3TtLF16+UUFHxJUNDpuLu3bh4REREREXGtTpPU\nrM9dz7Z9yZwcfCXG76fH1qyBGTPA2xuAFSUlbKyoYP0JJzC6e/cD37WUWKhJqyHu+7hWr79581SK\ni39iyJB36dnzurb8KCIiIiIi4kKdJql5bd1rxFX/mQljveob9+6FgQMPfNxnsXBqYGCDhAagekc1\nAH6D/Vq1dn7+FxQX/0R8/FKCgk5t1RwiIiIiItIxOs2dmuUZy6nefAFjxx7UuHEjDB9+4OObe/bg\n697w8r5pmqQ/lo7/SP9Wr52Sci3BwWcpoRERERER6YI6RVJTWlNKbkUuKSuGNExqMjIgMhJwJC8/\nFhczPTS0wXerUqoo+r6I3nf2btXaqal3YbNVMGTIO60NX0REREREOlCnSGo27d3EoICRBHZ3Jzx8\nf2NKCqSnw4ABAOTV1QFwWVjYge9Zy6wkDEvAM8yTntf3pKVqajLIzn6F6OhH8fHp09YfQ0RERERE\nOkCnuFOzPnc9IbWjGXrSQY1ZWRAXB/vfojGBnl5eBHl6HhiS/0U+AOO2jmvVusXFP+Hl1Yv+/Z9o\nbegiIiIiItLBOsVOzYa8DViyxjBp0kGN27ZBYCAAqVVV/CU1FZtpHug2TZOCrwqImBWBV5gXLWWx\nFLF9+42EhJzT1vBFRERERKQDdY6kJncDWetGM3ny/oaKCrjzThg0CIBB69bxU3ExX44YceA7lVsq\nKfy6kKDTglq0lmmabN/+R1au7IFheDB48NvO+jFERERERKQDdPjxs8q6SlKLUvFIGcHIkfsbf/rJ\n8TbNO++QV1sLQNqECQ2OnpkWk26ju7X4Lk1VVTK5uf8lNvY9IiOvcdaPISIiIiIiHaTDk5o12Wvo\n6x1P9DgfGlRrnjoVgMfT0/E2jAYJDUD6k+nU5dW1aK2Cgm/ZsuVCgoKmKKERERERETlGdHhSsyxj\nGd65p3D66Y37rHY7b+Xm8mz//g3at83cRuGCQmI/iG32OkVFP7Jly4WEhJxPXNy3bQ1bREREREQ6\niQ6/U/PzrmXs+uVUrruucV9ieTkA9++vgAZgt9jZ9799xH4QS+SsyGavs3nz2YSEnKuERkRERETk\nGNOhOzU11hoSchK4bPRJ9e/TALz4Iqa7O3/asYMhvr64G8aBLlu5DaBFCY3NVgNAXNx3TolbRERE\nREQ6jw5Nar7f8RPknsC9dwQ27MjIYP6bb5JUWUnCmDENurJezMLwNGiJ334bc/RBIiIiIiLSJXVo\nUvPK4i/oXT6N0aMP6QgMZF1YGBf4+TE2IKBB194P99LvsX7NXsNqLae6ehejR69ue8AiIiIiItLp\ndNidGovNwpqib/jTydOa7C80TSYdktDs+e8earNrCbssrFlrmKadFSsCMM06fH0HtDlmERERERHp\nfDosqVmeuRy30gGcNb5Pk/1L6+rwa1DjGXbcvIMeF/bAb4hfs9ZITb0LgEmTCvHyCj/KaBERERER\n6Yo6LKlZunsFddvPYNiwxn2F/v7sstuZFFh/1ybtkTSwwZD/DmnW/Dk5/yYn558MGPAinp4hzgpb\nREREREQ6mY5LanYm0Msci4/PIR0WC8u8vTGA+G7dAChcWEjG0xnEzI7BK9yrWfPn5c2lV69b6Nv3\nXucGLiIiIiIinUqHJDWmabIpP4ETeo5r3Pn225T7+XFRSMiBUs41WTWEnBdCnzubPqp2KLu9lvLy\ndYSHz3Bm2CIiIiIi0gl1SPWznPIcLFY7Jw47JEmx2eD221n4ww/E+NXfm6nLq8M7yvuo85qmyd69\n75OSci0A3buf4MywRURERESkE+qQnZrEPYn4Fo8lPv6Q92YyMgD40df3wNEz0zTJeDoDN+8jh1pa\nupr1608kJeVaIiKu5qST8nB392+X+EVEREREpPNoVlJjGMZUwzBSDMPYaRjGA030zzQMY5NhGJsN\nw1hpGEbckeZLzk+hMm04o0Y17tsxcSLFNhunBwcDULm1EmzQ96G+Tc6Vnv4k69YNZcOGkzBNC/Hx\nyxk6dC5eXhHN+dFERERERKSLO+rxM8Mw3IHXgTOBHCDBMIyvTdNMPmjYbuAU0zRLDcOYCrwNTDzc\nnFty0vCqGkVEE3lHQv/+DPL1Jcrbcdws/dF0vCK98O7Z+PiZzVZDevpjhIfPYNiwT+nWbeTRfhwR\nERERETnGNOdOzXgg1TTNdADDMD4GLgYOJDWmaa4+aPxaoPeRJkzJS6N/8CWNO7KyMEyTsd27A1Cb\nW0vBlwUM+tegJufJyXkVgKFDP8SRe4mIiIiIyPGmOcfPooCsgz5n7287nBuA7440YVZ5GkMj+zfu\nSEnhs7POotJmA2DTWZsAiJjZ9FGy3bsfpE+fe5XQiIiIiIgcx5qzU2M2dzLDME4DrgcmNdX/+OOP\nY5omBb+mETgiDYht0J+3cSNfXXEF88LDMe0mVVurGLVkFB6BjcO0WssB6Nv3b80NT0REREREOpGl\nS5eydOnSNs/TnKQmBzi49nIfHLs1DewvDvAfYKppmsVNTfT4449TXF3MM/ZXuHTSuY36qywW+lut\nzIiIoDanFoDgKcFNBpWUdCGG4YWHR2AzfgQREREREelspkyZwpQpUw58fuKJJ1o1T3OOnyUCgwzD\n6GcYhhdwBfD1wQMMw+gLzAdmmaaZeqTJcityMSp6MmTIIR2mSVFCAsXujqNkW6ZtwfA2Gk8AZGQ8\nT2npr4wduxHDaHqMiIiIiIgcH466U2OaptUwjNuBHwB34B3TNJMNw7hpf/9bwKNAMPDG/iTDYprm\n+KbmyyrZg62kF70PKSWQvW0b4159lbMCArAUWyhfV87IhU1XM7Pba+jb92/4+w9t9g8qIiIiIiLH\npuYcP8M0zUXAokPa3jro328EbmzOXCk5uXjX9cLTs2F78fr1RPv48MOpp5L6Z8dmT+ApjY+W2WzV\nZGQ8Qb9+TzZnOREREREROcY16/FNZ9qVt5cA9/DGHU8+SXfTxDAMatJr6P9sfzy6Nc65du92vP0Z\nFXVbe4cqIiIiIiJdgMuTmpyiQoJ9ejRuDw6mLCoKe62dwm8L8env02hMRUUSOTmv0b//c3h6hrgi\nXBERERER6eRcntTsLS8ivNshSc3HH5McHU2Utzd1eXUAhF0W1mBIefkGEhPj8PaOJjz8CleFKyIi\nIiIinZzLk5rSuiKCfA4q02y3w5/+RPHYsYwLDKRkeQmeoZ64edSHZrEUs3XrdPz8YjnxxHR8fZt4\nuFNERERERI5LLk9q6qwWuvl41zesXAnl5Tw1YQJebm4ULSwiYFLAgW7TtJGQMJyamjT693/W1eGK\niIiIiEgn5/KkxmoDn4OvyyQkwMSJANxnRrDv432EnFN/X6aycit1dbmMG5dMWNilLo5WREREREQ6\nO5cnNTbrIUlNQQEMHoyfmxtVP5fgFelFzxt6HuiuqUnDx2cA/v6xrg5VRERERES6ANfv1Bya1BgG\n1bGxVNntVG+vJuS8ENy86sPKyvoHnp6Nq6WJiIiIiIhAR9ypqQP/bgc1bNrEJj8/3IDSb4rw7NHw\nVU43Nx+iox92aYwiIiIiItJ1uDypKSuDvn0Oali/HiIjuXqDLzWp1UReE9lgvNVagmG4uzZIERER\nERHpMlya1BQUgM0GoaH7G554AnJzIT6ekGw7Yf8Xhv9w/wbfKS9fh5dXz8aTiYiIiIiI4OKkJikJ\nAgLAMACLBR5/nC3z5nFibi4jfrHiEeDRYHxZWQIA/v4jXBmmiIiIiIh0IS5NajZvdiQ1AHzyCQBz\nx4wh0suL/htthF8V3mB8evqjdOs2Bjc3L1eGKSIiIiIiXYjLd2oCA/d/uOkmuPJKvDw8uD0qCjc/\nNwLGBzQYX1q6iqioO1wZooiIiIiIdDEuTWoyM8HPb/+HyEjsTz7Jf3Nz8Si3Y6+yNxibmzsHm62M\nHj3Oc2WIIiIiIiLSxbi8+tnB5lVVsc9i4ZJkx8M1bn6OcEzTZPfuBwgPvwovr/AjTSEiIiIiIsc5\nlyc1NtOCh5ujIMC6ujpmRUTgnVJL4KmBGIbhGGOrwGLJJzr6IVeHJyIiIiIiXYzLk5oqWzndvboD\n8G11NXH+/lRuriTwxMADY+z2WgD8/Ye7OjwREREREeliXJrUmCZU28rp7t2dEl9fdttsXBwaSv7n\n+fiPqH+fZseOm10dmoiIiIiIdFEuzRxqaqDGrCCg2o4lO5tQNzcG768cEDEz4sC4srJVxMS85MrQ\nRERERESki3JpUlNWBjX2cgKq7NCtG7i7NxqTkfEcdXW5hIZe7MrQRERERESki3JpUlNeDpXWMgIS\nNmGaJrV2O1U7qw70WyxFpKU9RETELHx9B7gyNBEREfn/9u42ts66jOP491rbrbRdt27rNmQgczyM\nKowH5UEMjAA6UDEBIkHBAMYHEogmGjAm6gujERMT4kMIECUYjWDUKCJOITgVgiAOGAKLmxvhQdzG\nOufWdaPtLl+0JMsyek7L2X+ee9/Pq52eu72uF1fue7/zv8/9l6QmVTTUbN2xg2Q30357Pz+68kq2\nD43w2DGP0Ta3DYCNG+8GYPHiO0u2JUmSJKmJlV2pGd7M7EPmsK2jg88tW8YNr8wC4NRnTwVgYOAZ\n5s+/hggfEiBJkiSpPkXTw3D7Ro7KmfQvX05LJtf1z2LG2TNomz26UrNly/1Mm3ZYyZYkSZIkNbmy\nSyJzn+bTT44GmAXt7bz8nZdpmzX6etWqDzA4+A/mzr28aEuSJEmSmltryWL5lsc4Y+1OuOgi2nYl\ng2sG6ftpHwD9/b9h8eIf0tl5XMmWJEmSJDW5wis1z3Dko6vh0ks555cjAHQt6WJ4eBsAvb0XF21H\nkiRJUvMrG2o6/81IVydr+/roe2iEBZ9dQESwefO9o81M6SjajiRJkqTmVzbUdG0gIrht0yZO/BvM\nPGcmABs2/JienvOJiKLtSJIkSWp+ZUPN1O0EwY67twIwc+lMMpP+/uXMm3dF0VYkSZIkVUPZULNr\nOpnw+Ztg+odn09rdysqVZwAjzJ79/qKtSJIkSaqGok8/6xyczs7tCcChtywCYPfuHSxZ8iBtbbNL\ntiJJkiSpIoqGmlP6pzJMG5vnwpTOFl544ZsMDDzN1KnzS7YhSZIkqUKKhpqOtk7Wz7iWXS0wMryF\ndetu5JhjbnVvGkmSJEmTVvQ7NdOmtrAxF3DH1ZDbHgBg/vyrSrYgSZIkqWKKhprWFmj7bxcL3jmD\ntmilt/cypkyZWrIFSZIkSRVTNNTMGZoHwIUnHsr27SvJHC5ZXpIkSVIFP3dHIAAABkZJREFUFQ01\nZ63pYvMs6OxuY2ion/b2t5YsL0mSJKmCioaaoeEl7GyH83p6GBxcS0fHsSXLS5IkSaqgoqGmZ90i\nNi18jZ3bH2fr1j+6UiNJkiTpTSsaagamtfPgucn69V+iq+tkenreW7K8JEmSpAoquk9Nxghnbt/I\nli2/5/jj7yUiSpaXJEmSVEFFV2oO2dpFz/xnAejpOb9kaUmSJEkVVXSlpmdzO7v7dtLdfab700iS\nJElqiKIrNQBHzH2Yzs6+0mUlSZIkVVTRUPP8wp0MDPyV3t5LSpaVJEmSVGFFQ03r7l20tEynu/uM\nkmUlSZIkVVjRUNM9sKtkOUmSJEkHgaKhJqa2lSwnSZIk6SBQdqVm8XOMjGwD3J9GkiRJUmMUfaTz\nlPdtYkrbXFpbp5csK0mSJKnCyj7S+bTFtLcfUbSkJEmSpGorulLTkjczPDxSsqQkSZKkiisaal5j\nNSctfqhkSUmSJEkVV/b2M6C7+/TSJSVJkiRVWNFQ08kiIlpKlpQkSZJUcUVDTW/nBSXLSZIkSToI\nlL39rLe3aDlJkiRJ1Vc01HR1nVSynCRJkqSDQGRmmUIRWaqWJEmSpOYTEWRmTPT3ij/9TJIkSZIa\nyVAjSZIkqakZaiRJkiQ1NUONJEmSpKZmqJEkSZLU1Aw1kiRJkpqaoUaSJElSUzPUSJIkSWpqNUNN\nRCyLiNURsSYibnyDY7499v5TEXFS49uUJmbFihUHugUdRJw3lebMqSTnTc1g3FATES3Ad4FlQB9w\neUQct9cxFwJHZebRwCeBW/ZTr1LdPAGrJOdNpTlzKsl5UzOotVJzKrA2M5/PzCHgLuBDex1zEXAn\nQGY+CsyMiHkN71SSJEmS9qFWqDkMeHGP1y+N/azWMQvefGuSJEmSVFtk5hu/GXEJsCwzPzH2+grg\ntMy8fo9jfg18IzMfHnv9AHBDZq7c62+9cSFJkiRJAjIzJvo7rTXefxk4fI/XhzO6EjPeMQvGfvam\nm5MkSZKkWmrdfvY4cHREHBkRU4HLgHv2OuYe4GMAEXE68J/M3NDwTiVJkiRpH8ZdqcnM4Yi4Dvgd\n0AJ8PzOfi4hPjb1/a2beFxEXRsRaYAC4er93LUmSJEljxv1OjSRJkiT9v6u5+eZEuVmnSqo1bxHx\n0bE5WxURD0fECQeiT1VDPee3sePeFRHDEXFxyf5ULXVeT5dGxBMR8feIWFG4RVVMHdfUORGxPCKe\nHJu5qw5Am6qAiPhBRGyIiKfHOWZCeaGhocbNOlVSPfMGrAPOyswTgK8Ct5XtUlVR57y9ftxNwHLA\nB6RoUuq8ns4Evgd8MDPfAVxavFFVRp3nuOuAJzLzRGAp8K2IqPXQKWlf7mB01vZpMnmh0Ss1btap\nkmrOW2Y+kplbx14+insoafLqOb8BXA/8DNhUsjlVTj3z9hHg55n5EkBmvlq4R1VLPTP3CtA99u9u\nYHNmDhfsURWRmX8GtoxzyITzQqNDjZt1qqR65m1PHwfu268dqcpqzltEHMbofwJe/0TJLy1qsuo5\nvx0NzIqIP0TE4xFxZbHuVEX1zNztwNsj4l/AU8BnCvWmg8+E80KjlwzrvYDvfUuGF35NRt1zExHn\nANcAZ+6/dlRx9czbzcAXMjMjIvD2M01ePfPWBpwMnAt0AI9ExF8yc81+7UxVVc/MfRF4MjOXRsQi\n4P6IWJKZ2/Zzbzo4TSgvNDrUNGyzTqkO9cwbYw8HuB1YlpnjLXVK46ln3k4B7hrNM8wBLoiIoczc\ne38vqZZ65u1F4NXMHAQGI+JPwBLAUKPJqGfm3g18DSAz/xkR64FjGd3XUGqkCeeFRt9+5madKqnm\nvEXEEcAvgCsyc+0B6FHVUXPeMvNtmbkwMxcy+r2aaw00mqR6rqe/At4TES0R0QGcBjxbuE9VRz0z\ntxo4D2Ds+w3HMvpAHqnRJpwXGrpS42adKqmeeQO+DPQAt4x9ej6UmaceqJ7VvOqcN6kh6ryero6I\n5cAqYDdwe2YaajQpdZ7jvg7cERFPMfrB+A2Z2X/AmlbTioifAGcDcyLiReArjN5SO+m84OabkiRJ\nkppawzfflCRJkqSSDDWSJEmSmpqhRpIkSVJTM9RIkiRJamqGGkmSJElNzVAjSZIkqakZaiRJkiQ1\ntf8Bgl+oJj4FQE8AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10791b3d0>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Comparison of best"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figure(figsize=[14, 7])\n",
"roc_for_test(lambda x, y: numpy.mean(y) - numpy.mean(x), label='mean diff')\n",
"roc_for_test(lambda x, y: ks_2samp(x, y)[0], label='KS')\n",
"roc_for_test(one_sided_KS, label='KS, one-side')\n",
"roc_for_test(roc_auc_2samp, label='AUC')\n",
"roc_for_test(cvm_2samp, label='CvM')\n",
"roc_for_test(lambda x, y: binned_chi2_percentiles(x, y, n_bins=3), label='Chi$^2$, 3 bins')\n",
"legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 13,
"text": [
"<matplotlib.legend.Legend at 0x107d14ed0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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G0qDkshIchQ7MehO9Tqd5djObPZtp6Gmwl1gDHofHDi4F9vLlwi8zucAOMQGX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\nMePbJ74l6dUkVj69kmGth9X4hEZVtSQmLufEiTYcPuxNVtZ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BA7G2tsbU1JT+/fvz6aef\n3rzu9OnTtGvXDicnJ5599lmKbzSq+vsSsK1btzJ16lSuX79e5lhatWqFldX/ngPNzMxwv0cr3+PH\nj9OqVStcXFwYN27czbj+P7bff//95s9ffPHFbT/DnDlz8PHxwcHBgebNm9+8p6rUnqfIcvolPR1z\nReF9R3/8/MCkon8iv/4KvXvDJ5/Ae+9VSYez5NXJHLA4gIm1CcGJwZjZVc8CnFan5bvT3xGwMICY\n7BjOTDjD7IdmY2tha+zQDCY//xKnTgWzf78J588/hYWFJ507X6JDh8O4uj4uy8yEEEKIWujIkSMU\nFRXx9NNP3/EaVVXZsGEDu3btIioqirCwML7//nvgr0vANm7cyIcffsigQYNYv359ueKZNGkStra2\ntGrVinffffeuzQZUVWXNmjXs3r2bq1evEhERwUcffXTz/b9/CXu7zxAeHs6iRYs4efIkOTk57N69\nm0aNGpUr9vKqnk+/VUSnqrwfHc3nTZuy6TtTUlMrOOCiRfDRR7B5MzzwgEFivBNVp3Jx2EXStqSh\nlqp4vuiJ/3/9MTGrnnnqvuh9TN81HRtzGzYN20Rn787GDslgdDoNcXFzSU/fTk7OYczN3WjefCXu\n7sMxqcVtqIUQQgihl56ejpubGyZ3+XZcURSmTp2Kh4cHAAMGDODMmTP/uG7QoEEMGjSoQvEsXryY\nRYsWsX//fp555hkCAwPp3Pn2z16KojBlyhS8vb0BmDlzJi+//DIffvjhfX+GRx55hOLiYi5cuICr\nqyu+vr4Vir886vQT16WCAgBm+Pgw8BTcJbm+O1WFt96CX36B0FBo0sRwQd52OpUDNgdQi1X8vvLD\nbZAbVj7Vc7nZ9ZzrzNg9g2Pxx5jbZy5DWg6pFcuuCgujKCy8SkHBJRISFlNQcBkfn1dp3jwEGxs/\nY4cnhBBC1Dn79hnm+aJXL7XM97i6upKWloZOp7trYvP/yQCAtbU1iYmJ5YrxfiiKQq9evRgyZAg/\n/vjjHZMagAYNGtz82dfXl4SEhDte+/fPkJCQQNOmTZk/fz6zZs3iwoUL9O3bl3nz5uHp6WmYD3Mf\n6nRSk1BcTAc7OxYtUti6FXbuLMcgqqo/THPvXjh0CFxcDB7n3x1rcgy1WOWB1AewcLOo9PnKo1Rb\nyoJjC/jk0CdMDJrIiqdWYGNe89sUazS5XLgwhMzMXVhbB2Bj05z69cfg7T0ZMzN7Y4cnhBBC1Fnl\nSUYMJTg4GEtLSzZt2sTgwYONFsftlJaW4urqetdrYmNj//Kzl5fXfY196xfVw4cPZ/jw4eTm5jJh\nwgTefPNNVq5cWb6gy6FOJzU/JCeDDl5+GUaPhr59yzjArQnNnj2VntCoWpVQ91A0GRqCzgVV24Tm\nQMwBJm2fhLeDN0eeP4K/q7+xQ6qwjIzdJCevJifnKIWFEQQFncPOrrWxwxJCCCFENeDo6MgHH3zA\n5MmTMTMzo0+fPpibm7Nnzx727dvHnDlzbnufqpYvEXvuuedQFIUVK1b85fXU1FT27t3LgAEDsLKy\nYs+ePWzYsIE9e/bccSxVVVm0aBFPPPEE1tbWfPzxxzz77LP3Fcf/xx8REUF8fDzdunXD0tISKyur\ncn+28qqzSU33U6cIzclhVEozTgPfflvGAao4oQGIei9Kn9CEBWHX2q7S5yurpLwkXv/tdfZH7+fL\nvl8yqMWgWrHULDf3T8LC+uLs/CgNGryGi8tjWFk1uPeNQgghhKgzZsyYgYeHBx999BEjR47E3t6e\noKCgO7Zlvtf5MHcTHx/P8OHDbzvmN998w8SJE1FVlWbNmvHDDz/QqVOnO46lKAojR47k0UcfJSEh\ngYEDB/Luu+/eVxz//xmKi4t5++23uXTpEubm5nTr1o1vy/xwXTFKVWVRiqKoVZ2x3cnkiAgWJySQ\nGBzMa89bUlAAGzeWYQAjJDT5F/I50foETeY2wff1qt98dTcanYavT3zNBwc+YFz7cfy757+xs6h+\nSVdZqaqWa9dmEhc3Bze3gbRuvcnYIQkhhBB1kqIoVf7Nf3VVUlJChw4dCAsLw9TU1NjhlNud/pve\neL3M2V6dq9SsTEpicUICB9u3x93cktWr4euvyzCAERIaTbaGE61PYO1nTYMZ1atCcDT+KBO3T8TJ\nyon9z+2nZb2Wxg6pwuLjF5Kauo7s7MOAjqCgs9jatjJ2WEIIIYQQWFhYcOHCBWOHUe3UqUpNemkp\nbqGhTPfxYZ6fH8uWwQsvgE53n8fJGCGhKUkt4bD7YQAeLH4QE4vq0bI5rSCNt/e8zfbI7Xz+6OcM\nbz28xi410+k0ZGcfIiFhMenp29DpCmnS5DPs7Nrj4NAVM7OaX3USQgghajKp1NQ+UqmpgANZWQDM\n8/NDq9UnNM8+W4bzMT/7rOqaAqgqF5+9SOr6VEztTOmR26NS57tfOlXH8lPLefePd3m21bNcmnwJ\nRytHY4dVLiUlaURFvUNi4nJMTKxxdx9KixarcXZ+GDOzmvmZhBBCCCHqojqV1MQUFfGQkxMAN46o\nISTkPm9OS4O5c+HEiSrpcnb1taukrk+lxeoW1HumXqXOd79OJZ5i0vZJmCgm7Bq1i/Ye7Y0dUrkl\nJn5PePhYLCy8aNp0Ll5ekzE1rZ5n/QghhBBCiLurU0lNpkZDG1tbSkuhXz/9axb32xX5s89g6FBo\n3LjS4tMWagl/IZyU1SkAtFzbEvdh7pU23/3S6rT85+B/WHhiIZ/2/pQx7cdgolSPZXBlVVqaTnr6\nDsLDx+LnNx8fn2nGDkkIIYQQQlRQnUlq4oqK+CAmhtcaNGDECP05mfv23efNiYmwbBmEhVVafNlH\nsjn9wGkAWq5riWMPRyw9LSttvvuVkJvAqI2jUFE59eIpvB28jR1SuWi1RYSHjyMl5UccHILx8HgO\nb++pxg5LCCGEEEIYQJ1oFFCg1dLpzz/J02rZUb8TrZuasWoVjBx5nwNMnQpmZjBvXqXEV5pRSqhr\nKLZtbOkUduc+4lVt55WdjN0ylolBE5nZYyamJjWvbWBe3jnOnRtAcXEMJiZWdOlyDUtLT2OHJYQQ\nQogykEYBtY80CiiH+fHxXCwo4GqXLvRuaYatLQwZcp83x8bC6tVw6VKlxKYt1BIxMQKAwGOBlTJH\nWZVqS5n5+0x+PP8jawevpWejnsYOqUy02nyiot4jNfVniotjsLfvQtu2O7CxaY5SQ5fNCSGEEHVd\nTe2yKqpGnUhqtqalMcmuIf/qY010NJw+XYa9NB99BBMmgHvl7G1J+DqB1J9S8fuvH6bWxq+ERGVG\nMfzn4bjZuHF6wmncbNyMHVKZqKqO8+cHk5m5i4CAFbi7D8PU1NrYYQkhhBCiAqRKI+6lTiQ11wqL\nODbNEU7BypXQ/n6bdl25Ahs3QkSEwWPSleq48soVEhYn4DPdB58pPgafo6x+uvgTk7ZP4q3ubzG9\n6/Qa9Y2IRpPH5ctjSEvbCEBAwHd4ej5n3KCEEEIIIUSVqPVJzaqkJFI1pRBnQ1oauLqW4eaPPtLv\np6mEFs6H3Q+jydLg+44vjWY1Mvj4ZVFYWsiMXTPYfW0320dsp5N39dnXcy8lJclER39IQsIirK39\naNduL87ODxs7LCGEEEIIUYVqfVIz+vJlOOHMnh+typbQJCfDli1w7ZpB49Hkabg47CKaLA3B8cFY\nehu3w1l4WjhDfxpKC7cWnHrxVI04SLOgIILU1I0kJa2gsDACB4cH8PNbgJfXRExMav1faSGEEEII\n8Te1+gnwk4g4AOY4tqB37zLevHSpvpuAs7PB4tEV6zgecJyShBICvgswekKz+fJmXvzlRT5++GPG\nB46v1svN8vLOotHkkpj4LWlpm7C3D6JBgxnUrz8aU1MbY4cnhBBCCCGMqNa2dP48NpbXr12DTV6o\nXzUr282lpfpDNnfsgLZtDRbTuafOkb41na7RXbFqaLzT67U6Le/ve5+VZ1fy89Cfq/1ys5iYT4mK\nehsHh25otXn4+c2TJWZCCCGEELWQtHS+RYlOx+vXrtEswpPxPmVMaAA2b4amTQ2a0BRGFZK+NZ2A\nFQFGTWgyCjMYuXEkRZoiTr54EnfbyunqVlGqqpKc/APZ2YdJTg6hRYtV1K9/vwcLCSGEEEKIuqRW\nHtqxOSUNgIhJ/nh4lGOAhQthyhSDxnTtjWtYNrDE8znjHfx4NuksnZZ2ooVbC34b/Vu1S2hUVSUn\n5wRJSas4d+4JLl8eQ2lpCu3bH5SERgghhBBC3FGtqtQUFkL//vDHg6lQ4MFTT5gwalQZBwkL07dy\nHjjQoLGl/pRK8x+aG3TMsvjx3I9M3TmVBY8tYHib4UaL426io2cRHz8fa+umWFh40qnTBWxtWxo7\nLCGEEEIIUc3VmqRGqwUbG+CzsxCUyeoWLRhRvxwDLVoEL70E5uYGiUtVVa6+ehUA92ervjJSqi3l\nzT1vsiV8C3v/tZe29Q23pM5Q8vLCuHBhCDpdMUFBp7G2bmLskIQQQgghRA1Sa5Ka0lKgYT4EZXK+\nUyda2pSjI1ZmJqxfD5cuGSSmzL2ZRE6JpOByAa1/aY2JWdWu9kvJT2HohqFYm1tz4oUTuFgb/ryd\niioqiuHkyXaYmTnRocNhSWiEEEIIIUSZ1Zo9NYcOAUPjaGtrSytb2/K1J16xQr9+rVwbcf4q90wu\nZx85i3l9czpd7ITbE24VHrMsdl3ZReCSQLr7dmfb8G3VLqHR6YoJD3+Bo0cb0ajRLLp3z8TWtoWx\nwxJCCCGEEDVQrajUhOXl8XTxOehXzBiPpuUbpLQUvvoKNmwwSEwxH8Zg29aWDvs6GGS8+5VXksfr\nu19nx5UdhAwMoXeTsh7QUzViY+eSmLiM9u0P4OTUw9jhCCGEEEKIGqzGJzX5Wi3tTp4EK5h0rR0z\nepXzsMy1a/VtnDt3rlA8xQnFHPE+AoD/1/4VGqusQmNDGbN5DN19uxP2UhiOVo5VOv/9SklZT3T0\ne/j5fSUJjRBCCCGEqLAan9SsS0nR/zCuE/+Nsi3fIDodzJkD8+ZVKJbMPzI5N+AcmMCDhQ9iYlE1\nq/uKNcW8v+99Qs6G8HX/rxnY3LCd2wypuPg6ly79Cz+/+fj4TDV2OEIIIYQQohao8UmNCdCzqD4Z\njraYlDeH2L4dLCygT59yx6Et0nL24bNYeFrQ7mS7KktoziadZfSm0TR1acrZl85Wu7Nn/l9W1n6u\nXXubnJwjuLoOwNtbEhohhBBCCGEYNT6pCcvPJyNLv3Ks3ObMgTffhPI0F7gh6t0oAILjg1FMyj/O\n/dLoNHwW+hlfHv2Szx/9nNFtR5evOUIlu3r1TVJS1gIK3t6T8ff/L7a27aplrEIIIYQQomaq0UnN\n7owMvoyPhy1N6O5ZzkEOHYKkJBg8uNxx5J7OJf6LeBp/0rhKEprI9EjGbB6Dtbk1J188ia+jb6XP\nWRY6XSnnzw8kI2MHAAEBy3B3H4GpqbWRIxNCCCGEELWRoqpq1UykKKqh5xpw7hypqSrHereltBTM\nypOiPfEEDBgAEyaUKwZdqY4D1gcwdzanc0RnzJ0Nc2jn7aiqyjcnv+G9fe/x3oPvMbnzZEyU6tOV\nOzX1Z7Ky9lFUFEt6+lbatt2Js/OjUpURQgghhBD3RVEUVFUt88Njja3UnM/LY1t6OsxuRevW5Uxo\nzp2DP/+En34qdxzX3rgGWuhytQtmDpX3x6nVaZn661QOxR3i4NiDNHdrXmlzlZVGk8fly/8iLW0T\nzs6P4uraDx+f6Tg79zJ2aEIIIYQQog6okUnNF3FxvHb1Ki45NmQcduVEbjkHmjsXpk0DK6ty3X5x\n5EVS1qTQ6MNGlZrQFGmKGLVxFJlFmRx47kC1adWsqipxcV+QlLQcRTGjY8dT2NtX7bk8QgghhBBC\n1LikJqG4mNeuXuVtlyZ88pAvb7xRzpwkJgZ27ICFC8sVh6pVSVmTgv/X/ni/5F2uMe5HVlEWT619\nCg87D3aM2IGlmWWlzVUWV6++SVzcXACaNv0SD4/RmJu7GjkqIYQQQghRF9W4pGb0pUsAfNLRB4DX\nXivnQD/9BM88A47lq3okr04GwOM5j3IGcG/Xc67z+OrHeajRQ3z52JfVYv9MZuZeLl9+juLieAID\nT2Bv3wFFMTV2WEIIIYQQog4z/lNyGcUXF7OqRQvQmJCTA/XqlXOgvXsrdC5N3Lw46g2th6lV5TzQ\nX0q9RLfvujGyzUjmPzbf6AmNVptPYuIKzp17CnNzN7p0uYKDQ5AkNEIIIYQQwujuWalRFOUxYD5g\nCixTVXXOba7pBXwJmANpqqr2MmyYevuzsogoLCTI3h5zc7As70qskhJ9K+cffijzrbpiHeeeOkf+\n2XyafNqknAHc3ZG4Izy97mnmPDKHMe3HVMocZVFYGMWpU8GUlibTqtUm6tUbaOyQhBBCCCGEuOmu\nSY2i/xp+IfAIcB04oSjKVlVVL91yjROwCOirqmq8oihulRXs2MuX6WJvz/cf2lBaCiblLV4cPw7+\n/uBatj0gumIdBx0PoharBCwPwPUxw+8h2RaxjXFbxhEyMITH/R83+Phloe9qNpq0tM3Y23ehc+cL\nsm9GCCGEEEJUO/eq1HQGrqiqGg2gKMpa4Cng0i3XjAB+VlU1HkBV1bRKiJNCrZaooiLWtmzJ5D3w\n2WflbOMM+qVnvXuX+bbYz2JRi1U6nuyIfUf7ck5+Z8tPLefdP95l24htdPbubPDxy6KoKJZjx/xR\n1RKaNVuCp+fzstRMCCGEEEJUS/eqdXgDcbf8Hn/jtVv5Ay6KovyhKMpJRVFGGzLA/zchIgKA5jY2\nWFtD54o88+/ZU+akJvdULtH/jqbhew0rJaFZdHwRHx38iP3P7a8WCc3Row2pX38kwcHxeHm9KAmN\nEEIIIYSotu5V61DvYwxzIBDoDdgARxRFOaqqauTfL5w1a9bNn3v16kWvXr3uO1CdqvKVnx8Hd5lx\n8GAFqjR5eXD6NHTvft+3ZB/J5vQDp7FpaUOjWY3KOfGdLTu1jLmH57L/uf00cjL8+GWRm3uGP//s\ngIfHOJo3X27UWIQQQgghRO22b98+9u3bV+Fx7pUaXAca3PJ7A/TVmlvFoW8OUAgUKopyAGgH3DWp\nKYvrxcWsTknB/KQb08bAY49B167lGgoOHoSgILC1ve9bUn9KxS7Qjo4nO6IoSjknvr2VZ1cya98s\n/hjzh9ETGo0mh9jYT7C37yQJjRBCCCGEqHR/L3TMnj27XOPca/nZScBfUZRGiqJYAMOArX+7ZgvQ\nXVEUU0VRbIAuwMVyRXMHkyMiMAG+H1OPSZNg27YKNAnYsgX69SvTLSlrU3B6yMngCc268+t4a89b\n/Db6N/xd/Q06dlmpqo6zZx8lNfVnGjZ8z6ixCCGEEEIIURZ3rdSoqqpRFGUKsAt9S+flqqpeUhRl\nwo33l6iqellRlJ1AGKADlqqqatCkBuClvAAWo7BoUQUG0Whg40Z997P7VJxUTElCCV4velVg4n/a\ndGkT03ZO47fRv9GiXguDjl0WqqqSnX2QqKj3yM09RpcuV7C2bmq0eIQQQgghhCire+5MUVX1V+DX\nv7225G+/fw58btjQ/mdLejrTCz0ZOrSCA/3+OzRuDI0a3dfl+Zfy+TPoTxQzBeum1hWc/H+2R2zn\npe0v8evIX2lTv43Bxi0rrTafK1emk5i4lHr1hkhCI4QQQgghaqTybrevUi5mZqQfcES9n7YFd7Nu\nHQwbdt+XR7wYgbmbOR1PdEQxNczSs9+u/sbYLWP5ZfgvBHoGGmTMskpJ2UBqqv5/ZmZONG/+Ax4e\no4wSixBCCCGEEBVV3p0pVUqjgZUroVOnCgxSUgKbN8OQIfd1+fVvrpN9KBv/hf5YuFtUYOL/2R+9\nn5EbR7Jx2Ea6+HQxyJhloao64uK+5OLFoZiYWBEUdI7u3TMloRFCCCGEEDVajajUFBdDy5bw2msV\nGGTPHmjeHBo0uOelqlYlcmIk3lO9cRvgVoFJ/+dI3BGGbBjC2mfW0t33/ttJG0peXhgXLgyhsDCC\nZs2W4OX1YpXHIIQQQgghRGWo9knNrKgoii01PNVPoULNx8qw9Oz8wPMA+H9lmI5kl1IvMXDdQEIG\nhvBw44cNMmZZZGUd4MyZntjbd6JnT53Bu7gJIYQQQghhTIpa4Y0q9zmRoqjlmavjvjOcCnEk+6vG\nODiUc/LiYvDwgAsXwOvOXcw0eRpOdz9N/tl8mn/fHI8xHuWc8H/ic+Lp9l03PnroI0a3G13h8cpK\nVbX8+WdnbGyaERCwAlNTqyqPQQghhBBCiPuhKAqqqpb5G/hqXakp1ek4RRZN8n3Ln9CA/mCbdu3u\nmtAAaLO1lCSU0DW6K1YNK/7wn1mYyWOrHmNKpylGSWh0umJOnuxAcXE8HToclIRGCCGEEELUStU6\nqXn6vH4Z2NwRThUbaMkSeOGFe152acwlSlNLDZLQFJYW8uTaJ+nTpA+vPVCRzUDlU1BwhVOnuqLR\npNO+/UFMTW2qPAYhhBBCCCGqQrXtfqZTVbZnZMAbbbG1qkCYV67A6dMwePBdL8vcl0nW3ixab25d\n/rlu0Oq0jNg4ggYODfii7xdVuoclLy+Mkyc7cvy4P05OPejRIx8np6pvTCCEEEIIIURVqbaVmpcj\nI1EA9YQLPXpUYKBvv4XnngOrO1dfCqML+b/27jw+7qre//j7zEySyb41Tdqmbbq3lLYUaAtCWQS1\nrCIgyFVRQMQLil5RUS8q6k/uRYGrXLioQEVFkMsiihehbIXS0lIwbSld0zVNk2bft1nO74+kS5pt\nZpJ+ZyZ9PR8PH2S+3/M951Mf82h4c77nnPXnrlf6wnSN+uTQdjuz1uqWF29Rc2eznrryKbmMc7mx\noWGliovP1LhxX9NJJ70hj2co7+wBAAAA8SFmZ2peqavTN93T5HJJyckRdtLRIT32mPTl/rcvbljZ\noDWT1kiS5q+YH+FAhz249kG9W/aunrvqOSW6h+d8m1BUV7+g4uIzVVh4m6ZNu59AAwAAgONGTM7U\nBK3VjrY2rXs2XXPmSK5Io9ezz3ZtEDCt762ZA20BFZ9ZrFGfGqXZz84e8mtitW21+smbP9HyLy5X\nelL6kPoKlbVBbdhwoerqXlZe3qc1ZcovHBkXAAAAiBUxGWqaAgEFJb32cKr++MgQOvr1r6Wvf73f\n22X3l0mSTnxu6OtoJOmnb/5UV8y6QifknTAs/Q2kru41bd36ZbW375QkLViwWampM4/5uAAAAECs\niclQ82Z9fdcPHW597nMRdvLhh12bBFx6ab9Nqp6rUsENQz+LRpK212zXHzf8UZtu2TQs/fXH2oC2\nbbtZ5eW/VWrqPM2Z86Kysz8qlyvpmI4LAAAAxKqYDDV+a7UomKv084fQyc9+Jt18s5SQ0Oft9tJ2\nNb3bpBmPzhjCIIfd/urtuu302zQ6dfSw9NcXa4PavfsnKi//raZMuVfjx3/zmI0FAAAAxIuYDDV/\nr6nRppKAZjVG2ME//yktX96181k/Kp+qVEJ+gtJOTItwkMPe2vOW3i9/X3+6/E9D7qs/1ga0du0c\nBQLNmjPn/5Sbe+ExGwsAAACIJzEZap6tqlLGxkm6554IO/jud6Uf/EBK6zuwBNoD2vntnRr9maHP\nqgRtULctu013ffQuJSdEuk3bIGMEfdqw4eNqbd2ss85q51UzAAAA4Agxt6VzeyCgxkBAB/4vW0mR\n/Lv7K69Iu3ZJX/pSv03KHymXJE17sO9d0cLx5AdPSpKumXPNkPvqy969P9c774xXff2QnyWDAAAg\nAElEQVRyzZv3KoEGAAAAOErMzdTU+/2SpPSGFE2cGObDwWDXLM1dd/W7lkaSGlc2avS/jFZCTv9t\nQtHma9P3X/++Hv/U48fkkM1gsFM7d96umTN/r7y8T8vtPjYzQQAAAEA8i7mZmqAkd7NHK940ys8P\n8+GnnpI8HunKK/vvvzOo+uX1yv5o9pDqlKS7V96tU8acosUTFw+5r75s23aTJGn06GsINAAAAEA/\nYm6mZlVDo4JVSdKkMB/s7JT+/d+lpUulAQ7RbCtpU2dFp7LOyxpSnRsObNCDax9U8U3FQ+qnP83N\n61VR8Zjmzn1FLtfQZpQAAACAkSzmZmpWVzbL7k7R2LFhPvib30gzZ0rnnDNgs9L7SpVUmKTkoshn\nPvxBv67/6/X6j/P+Q4UZhRH30x+fr17vv79ASUkTlJMzlH2tAQAAgJEv5mZq/lJXJdOcqexw3w77\nr//qev1sAG272lTxaIWm/mpq5AVKunfVvcryZumG+TcMqZ8jWRtQVdVzqq7+i6qqnlZe3qc1efLd\nw9Y/AAAAMFLFXKgpbe/Q6PfGhPfQ7t1SS4t06qkDNqt/vV4ps1NUeGvksytbq7fqF6t+obU3rpUZ\n4DW3cG3bdvMRh2p+S+npJw9b3wAAAMBIFlOhpqpK8tV4dO0nw1xDsnx512tnA4SMYEdQW2/aqvH/\nNj7i+gLBgK7/2/X60dk/0qTscBf99G/LlhtUUbFUc+b8Xbm5Fw1bvwAAAMDxIGZCTWsgoH/bs0Mq\n6NAtl4U5A/LGG9K55w7YZN/9+6SANP5bkYeaB9c+KCOjWxbeEnEfRwoE2rV7952qqFiqE0/8K4EG\nAAAAiEDMhJqNLS36c12FXI9N1vizwzhg0tqumZrvf3/gZp1WE74/QYn5iRHVt7t+t37y5k+06oZV\nQz6TJhj0qbl5nYqLPyKXy6uZM/+oUaMuHVKfAAAAwPEqZkLNm/X1Sm3y6qGLJsgVzkTNrl1d2zlP\nnz5gs+rnq5W5ODPi+u5ZdY9uOuUmTc8deJyB+Hw12rjxCjU0vClJys29WNOn/0ZJSeFu9QYAAADg\noJgJNS5r1PJWtsyiMB88+OrZIIv2/Q1+5VyQE1FtDe0NeuKDJ7Tx5o0RPX9QRcUf1dDwpk49dYNS\nUmbJ5YqZ//sBAACAuBUz59R8a9cOBTxBnXZamA+GsJ6mdlmt2ra3KXlyZGfTLC1eqiVTl2hseuQz\nKn5/g0pL79Hkyb9QWtocAg0AAAAwTGIi1GxobpYk3eiapEnhbCp2cD3NIAduVj9frfRF6UqeEn6o\nCQQDemDtA7p10a1hP3ukDRuWqLOzTKNGXTKkfgAAAAD0FDOhpqg5QymdYS7iLynp+ufU/g/TbNnU\nov0P7Vf+NfkR1fbi9heVm5yrRePCfS/usMrKZ9TYuFpz5y5TSsqMiPsBAAAA0FtMhJr/rarSnOrR\nsjbMBwdZT7Pj2zu0dvZaeSd5Ne6r4yKq7f5379eti26N+KDN+voV2rTp05o+/dfKzj4/oj4AAAAA\n9C8mQk1LIKCdr6cqGAzzwTfe6PfVs87qTpXeU6qiHxfptJ2nybjDDyWbqjZpY+VGXTX7qrCflaS6\nuuVat+4sZWd/XGPH3hRxMAIAAADQv5gINZKUni597GNhPBAMSq++Kp3f9+xH65ZWuVJdKvphUcQ1\n3b/mfn3llK8o0R3ea3HWWlVV/UXr15+rgoIbNHfuSxHXAAAAAGBgMbMF186dYT6wbp2UmytNnNjr\nVsuHLVq3eJ0yz4z8XJq6tjo99eFT2nzL5rCeq619RZs2XSO/v0bTpv2Pxo79CjM0AAAAwDEUM6Gm\nslKaPTuMB5Ytkz7+8V6Xg76g1p64Vp5cj+a9Oi/ieh4tflQXT79YBWkFYT23a9cdSk8/VSec8IQS\nEiI7FwcAAABA6GLi9bPKqq5/jh8fxkPLlkmf+ESvy/vu2ydJ+sj+j8iVFNkfr9XXql+u/qW+segb\nYT3X1rZLTU3vasaMRwg0AAAAgENiItRUlEuLFkmJoS5daW6W1q6Vzj67163Kpys15ktj5EqM/I/2\nq9W/0mmFp+mUsaeE1N5aq+3bv6E1ayYrP/8L8noLIx4bAAAAQHhi4vWz6gn1ut5TFPoDb74pnXqq\nlJbW61bz+82a8ospkdfSWq1737lXq25YFfIzdXXLVFb2K5100gplZZ0Z8dgAAAAAwhf1mRrbfTjN\n1bPCWNTfz3qauuV1kjSkDQLuWnGXrpp9labnTg+pfUnJv2nDhiXKzb2EQAMAAABEQdRnar69ebck\n6eT5YewQtmyZ9PjjPS7VvVan9eevV9Z5WXIlRJbVdtfv1u/X/16bbt4UUntrrfbtu19FRT9VUdEd\nEY0JAAAAYGiiPlPz3IFqeZ/qvS1zv/bulaqrpfnze1yufr5aGadnaN4rke94dsfrd+hrC7+m/LT8\nQdtaG9COHbdJCmrMmBsiHhMAAADA0ER9pqajwaVxZWHsFLZmjXTGGZKrZx4ziUZ5V+RFfCZMcXmx\nXtv1mh666KGQ2m/b9hWVlz+iWbOeUFLSmIjGBAAAADB0UZ2pCVqr/VlNfW1i1r9t26SZM3tdblzd\nOKRabn/1dt2x+A6lJ6UP2rax8T2Vlz+iOXNeVH7+NUMaFwAAAMDQRDXUtAeDkqTxHb13MevX9u3S\ntGk9LtW+WqvGVY1KOzmMfo7wcsnL2l2/W18+5cshta+qekZ5eZ9Wbu4FEY0HAAAAYPhEfU2NJ+BS\ngnWH/sC2bdL0njuTVTxWofxr85V9bnbY4weCAX37lW/r7vPvVoI7YfD2gVaVlt6tlJTes0UAAAAA\nnBfVUOP3S35fr+UxA+tjpqbyiUplfyz8QCNJv1//e2V6M3XZzMsGbdvZeUArVqRKksaO/UpE4wEA\nAAAYXlHdKKCzs+uf3/lOiA/U1UkdHVL+4d3J6t6ok6yU84kwNhvo1tLZoh+88QM9d9Vzg24wYK3V\n7t13yuVK1eLFTRFvSAAAAABgeEU11LTboOQNyh3q22cHZ2mOCBTVf61W1jlZSsxLDHv8e9+5V2dN\nPEuLChcN2tbvr9P+/b/W7NmDByAAAAAAzolqqHmoYp/kDyMgHLWexgas6pbVadQnR4U9dkVzhe5f\nc7/W3rg2xCesPJ4c5eV9KuyxAAAAABw7UV1TU97sl14I44yXo9bTbP/qdrVubtWoy8MPNT9640e6\n7qTrNCl7Ukjt29pK5PfXhj0OAAAAgGMrqjM1f62vUkZrYegPbNsmXXTRoY8dZR2a+MOJyliQEda4\nH1Z+qL9s+Yu2fnVryM9s2LBEeXlXhjUOAAAAgGMvajM17YGAal2dmu/LDf2hrVsPzdR0VnWq5oUa\npc5JDXvsn771U91+xu3KTg5tx7T6+hXy++s1adJdYY8FAAAA4NiKWqhpCgQkSYnlKaE9cOCAtHOn\nNG+eJKn8kXJJUubpmWGNW99er5dKXtL1868PqX17+x6tW3eWcnIuUnLy5LDGAgAAAHDsRfX1M297\ngrxJIW4U8Pzz0gUXSF6vJKltW5sKbytU0riksMZ8+sOndf7k80OapQkGfdqy5TolJ0/V3Ll/D2sc\nAAAAAM6I6kYBgYB07rkhNn7uOemKKw59bN/drsTR4W/j/IcNf9C1864dtJ3PV6/i4sWy1q/p038d\n9jgAAAAAnBHdUBOUJofyRlddnbR6tbRkyaFLzeualTo3vPU0O+t2amv1Vi2ZumTQttu33yK/v04n\nnfSmsrPPC2scAAAAAM6J6utnxkiTQtlR+YUXpI9+VEpLkyS1bm+Vv96vjIXh7Xr2+IbH9ZkTP6NE\n98AzPD5fvSorn9DMmY9x0CYAAAAQ46I6UxOyZ5899OpZsDOod2e9q8SCRCXkJITchbVWf1j/B31+\n7ucHbLdv3wNauTJbXm+RRo++ZkhlAwAAADj2Yj/UNDVJb7whXXyxJGn3j3ZLAWnOi3PC6mb1vtVK\ncCfo1LGn9tumuvrvKin5hgoLv6FFi3bI5Qp/zQ4AAAAAZ8V+qPnHP6QzzpCysiRJjWsaNfEHE5U+\nPz2sbv6w/g+6du61/b5OVlb2oDZuvESTJ/9MU6bcJ2Ni//8aAAAAAFEMNTU+nwJpvsEbvv56jw0C\nGt9tVNr8tLDGauls0dObntZn5362z/vWWpWU3Kaiop9owoTbWUcDAAAAxJGohZri5mYlVHsHb7hy\nZddMjaS61+oUbAkq4/TwNgi4f839On/y+ZqQOaHP+6tXF8naDo0f/62w+gUAAAAQfVHb/cxIStmT\nLk0foFFdnbR7tzRvniRp1x27lHtJrpIKQj9ws769Xvetvk9vX/d2n/f9/mZ1dOzVGWfUyu1ODv0P\nAAAAACAmRC3UlFdIDQ2SZ6AK3nlHWrBASkiQv8GvxtWNmvfqvLDGue+d+3Tx9Is1Y9SMXvestfrg\ng64NCDyerLD6BQAAABAbohZqdu2SkrzSrFkDNDri1bO2nW2SS8o+LzvkMapbq/Xg2gf1/pff7/N+\nScmtamh4UwsWbGYdDQAAABCnorrF1+jRXQdw9uuIULPr+7uUMiMlrP5/vvLnunr21SrKKup1b/v2\nr6ms7AHNn79Kqakzw+oXAAAAQOyI2kzNoAIB6b33pNNOkyTVLqvVic+dGPLj5U3lerT4UX3wrx/0\nuhcM+lVW9oCmT39YmZmnD1vJAAAAAJwXtZmaZuMfuMHevVJOjpSVpW23bJOCUuaZmSH3f9eKu/TF\neV/U2PSxve7V1v5DklRQ8PmwagYAAAAQe6I2U7M3oVkZ9QO8TlZSIk2dqkBbQPv/Z79OfOFEJeQm\nhNT3vsZ9emLjE9pyy5Ze96qr/66NGy/VuHG3yuUKfRc1AAAAALFp0JkaY8wSY8wWY8x2Y8ztA7Rb\nYIzxG2MuD2VgKym5ZYBQ0R1qqp6ukiTlXpAbSreSutbSXH/S9cpLzetx3eer1caNlygv72pNm/ar\nkPsDAAAAELsGnKkxxrglPSDpfEllktYaY/5mrd3cR7u7Jb2kriNoBlXv6hw4UXWHmva97Rp12SgZ\nd2i7k5U3levxDY9r8y09SlQw6NO7786Qx5OlE054MqS+AAAAAMS+wWZqFkoqsdbuttb6JP1Z0if7\naPc1Sc9Iqgpl0F1tbfqnt0be1sT+G3WHmj0/3iNvkTeUbiVJ96y6R9fOu1b5afk9ru/Z8xMFAs06\n7bS9bN8MAAAAjCCDrakZJ6n0iM/7JC06soExZpy6gs5HJS1Q15tlA3qtrk5ZgUSN2zOq/0YlJerI\nmiLrr9OE700YrEtJUmVLpX637nfaePPGXvfq6l7V6NHXyONJD6kvAAAAAPFhsFAzaECR9EtJ37XW\nWtM1BdLvNMidd94pSSpuatLEvHmSPtJ3w2BQwR179M/rWiRJiaMHmNE5wn3v3KdrTrym145nra0l\namxcrcmT7w6pHwAAAADH3vLly7V8+fIh92Os7T+3GGNOk3SntXZJ9+fvSQpaa+8+os1OHQ4yoyS1\nSrrRWvu3o/qyB8daWl6uh1c3aNyfZuqZZ/oYeO9e1Z18g9bX/Lvmr5qvzNMH38q5prVG0x+YruKb\nijUhs+fMztq1c9TWtkOLFzfLmKieNwoAAACgH8YYWWvDXisy2EzNe5KmGWOKJO2XdLWka45sYK2d\nfEQRv5P0wtGBpi8ffigV9bdDc0mJAvmTlHlCZkiBRpIeLX5Ul0y/pFegOXDgz/L5arVw4TYCDQAA\nADACDfhv+dZav6SvSnpZ0iZJT1lrNxtjbjLG3BTpoHV1UlOT9M1v9tPgvfe068BFob381lWnlhYv\n1Y0n39jjus9Xq23bbtTMmY/J6y2MtFwAAAAAMWzQwzettf+Q9I+jrv2mn7bXhTJodbXkSZAWLOin\nwdtvyyafrKI7i0LpTqtKV0mSPjK+5xqdurpXlJw8Q9nZ54fUDwAAAID4E5X3sSoqpIz+NiELBqWV\nK+VrT5I73R1Sf0uLl+r6+df32qq5uXmDvN4itnAGAAAARrCohJpd3kZlj+rn3bItW9ToPUm+6oCS\nJiQN2ldTR5Oe2/Kcrp13bY/rVVXPa+/eu5SaOns4SgYAAAAQowZ9/exYaHX5ldGY2vfNt99Wx/SP\nKGNChpIKBg81T296WmdNPEsFaQU9rldULFV+/hc0adKPh6NkAAAAADEqKjM1LmuU3pzc982331bn\nmDny5Ayet6y1euSfj+iG+Tf0umdMonJyPjbUUgEAAADEuKiEmqYmqb/jceyKt7X9ydFyeQcvbdmO\nZappq9GF0y7scT0QaFN19bNKSZk5HOUCAAAAiGGOhxprpU3lncrs6/iZsjJ1NnSVNHPpwIEkEAzo\nO69+R/953n/K4+o5q7Nx46WSpNTUOcNSMwAAAIDY5fiamu3bJZ1SrxtnTOh9c+VKVRR8UaqTPJkD\nl/anD/6ktMQ0XTbzskPXrA1q8+bPqq7uVc2fv0ouV+LwFg8AAAAg5jgeavx+yd2QoIU5vTcKsG+v\n1K7Nn1LBdQV9PHlYu79dd7x+h5684ske2zWXlv5ClZV/1qxZjysz8/Rhrx0AAABA7InKmpr+tL++\nSZI0+eeTB2z332v+W6eMPUVnTDjj0LXOzkrt3PldTZ36K+Xnf/aY1gkAAAAgdjg+U7NidVCByb7e\nN5qaVLs9S54stxJH9f/aWG1brX6+6udacd2KHte3br1BCQmjVVh463CXDAAAACCGOR5q9vjbJEm5\nCQk9b6xeLTOhUHnnjB7w+btW3KUrZ12pmaN6biTQ0LBKc+e+OKy1AgAAAIh9UTl8M7sxRQmuo958\nW7lSmjp1wOd8AZ+WFi/V+q+s73H9wIE/ye+vldc7abhLBQAAABDjYmdNzcqV0tQpAzZ5a89bmpY7\nTeMzxx+6Vl39gjZv/pyKin6sxMSBZ3kAAAAAjDyxEWqCQWntWrUGxskG+zmVU9LzW57XZTMu63Gt\nvPxh5eQsUVHRD491lQAAAABiUGyEmq1bpZwctVcaJeQm9NnEWqu/bv1rj3NpJMnjydTo0f/iRJUA\nAAAAYlBshJo1a6RFi2Q8Rmknp/XZpLiiWF6Pt8cGAR0dFTpw4HFJQYcKBQAAABBrHA81e5Mb1ZbU\n2fNid6jp2NPR73PPb3lel828rMdhm12BRsrLu/qY1AoAAAAg9jkeatrdAY2vzOl5cc0aVdSeqsbV\njUqektzrGWutntn0jC6fdfmha35/s3bu/LYmTfp/cru9x7psAAAAADEqKls6ezuOWDfT2qq2zQ3a\nUuzXmC+NUcaCjF7tN1ZuVIuvRYvGLTp0rbr6eUlSYeFtx7xeAAAAALErKqGmh/Xr1TlxnlJMimY8\nPKPPJk99+JSuOuGqQ6+eNTd/oNLSe5SbeymzNAAAAMBxLvobBZSUSBMnyp3p7vO2tVb/++H/6uoT\nD6+bqah4TF7vRE2b9qBTVQIAAACIUY6HmoD/qAu7d0sFBf22X1exTgEb0CljTpEkVVU9q3377lNe\n3uXyeguPXaEAAAAA4oLjoebllDIFdMQBm3v2qL5hsnwHfH22P/LVs5aWLfrwwyuVm3uxCgq+4FDF\nAAAAAGKZ46GmbVSbPps/+vCFPXuk7GzlXZnXq+3Rr57V1PxdSUmFmj37L06VCwAAACDGORpqyju6\nzqGZFDjigM3du6WsLJkE06v9e/vfU4I7QfPy50mS2tt3KCvro3K5or+/AQAAAIDY4Gio2dfRoaTm\nRCUf3HQtGJRKS9W0K0FHvpF20LObn9WnT/j0oV3PrLXKyFjoYMUAAAAAYp3jr5917k86/KGsTMrO\nVmdVQN5JvbdmfqnkJV047cJDnw8ceFzGMEsDAAAA4DDHQ40NSosXd3/YskWaOVPN65qVPCW5R7v9\nTfu1t2GvFo47PDOTmJivzMyzHawWAAAAQKxzNNSU7JDktko7uKRm61Y15S5SsDWo9EXpPdou27FM\n508+X57u9TM+X63a23cqMTHfyZIBAAAAxDhHQ82brbVKzPEr6eAbaFu2yJ8/VZmLM+VJ6/la2Usl\nL2nJ1CWHPgeD7UpMHKOEhGwHKwYAAAAQ6xwNNR4Z5aw/YuvmrVtVXztR/saeJ3IGggG9svMVfWLK\nJ5wsDwAAAEAccnTVfV2d5DvyjM2tW9XYka7cC3J7tFu7f63Gpo/VuIxxh675fLWytmf4AQAAAABH\nZ2pqaqS0g0tnWlulqio1bfQrdV5qj3Yvl7zca5amublYaWknO1QpAAAAgHjhaKgp3SflH1znX1en\nQNZo+ev8ylqc1aPd5urNOqngpB7Xdu68XR5Pz3YAAAAA4GioaW2Vcg6u829rk7wpciW7lDQuqUe7\n0sZSjc8Yf+iztUF1dpZr0qQfO1gtAAAAgHjg7EYBHikjs/tDe7tq/Kco2Bbs1a60oVTjMw+HmtbW\nrZKkpKTxvdoCAAAAOL45fvjmIe3tqu+YpZyLcnpcDgQDqmiu0Lj0w5sElJf/VpmZi+V2pzhdJQAA\nAIAYF71Q09Ym4zHKPr/nuTPlzeXKSc5RkufwK2mNjWuUlXWOwwUCAAAAiAdRnalp7cjvdfnoV8/2\n7/+tGhvfUU7OhU5WBwAAACBOOBpqOlM7ZQ9+aG9Xa9soJY3tuUnArvpdmpA5QVLXBgE7dnxHEyf+\nUJmZpzlZKgAAAIA44ew5NXlN8lq3JMm2tsnXmaKUmT3XyTyz6RldMPUCSdLOnd9TINCg8eNvc7JM\nAAAAAHHE0VDTUu3WmbkZkiTfjioFAwlKKjw8U1PVUqXXd72uq2ZfJalrLc2MGY/K48lwskwAAAAA\nccTxNTXju5fLNKxplyQl5CQcuvfEB0/okhmXKCMpQ9ZaNTS8qZSUE5wuEQAAAEAccTTUpKRK7u4R\ny9fmadSCth73H1v/mL4474uSpOrqv0gSa2kAAAAADMjRUJOYePjnxso8ZZ95eD3Nuop1qm2r1bmT\nzu263/iORo/+jJPlAQAAAIhDjoaaYPDwzx41KufSMYc+/674d/rCvC/IZbpKqqx8Sqmpc50sDwAA\nAEAc8jg5mNvd/UMg0PW//AJJkrVWT258Uu/c8M6htomJBcrOPs/J8gAAAADEIUdnanyFLV0/lJd3\nJZzErk0CdtfvVqI7UVNypkiSOjur1NS0Vm53qpPlAQAAAIhDjoaa5qROTUtOlsrKJM/hSaJ1Fet0\nUsFJhz6XlHxdKSmzlZo628nyAAAAAMQhR0PNxPpMTUpOlr+kTO0duYdGX39gveblz5MklZU9pMrK\nJ1VYeKuTpQEAAACIU46fUyNJvu2VMq6gvEVeST1napqa3lVh4Tc0duyXo1EaAAAAgDgTlVCjAweU\nmNEpY4yk7pmagq6Zmrq615SSMisqZQEAAACIP1EJNcGyKgU6uzYJaPW1qqK5QlOyuzYJCASalJl5\nVjTKAgAAABCHohJqGrYlyZ3aNfTehr0anzFebpdbNTUvye+vl8eTHo2yAAAAAMShqIQaU1+r7DOT\nJUl76vdoYtZEBQIt+uCDCzRmzI1KShoXjbIAAAAAxKHorKlpbJSSu0NNwx5NyJigmpr/kzEJmj79\n11EpCQAAAEB8cj7UdHZKHR1SYpIkqbShVFMzs7Vz5+2aPPk/ZEx0chYAAACA+OR8gqipkdLSpK6N\nz1TVWqUCr0uBQLMKC7/heDkAAAAA4pvzoaa6WrVaoEBToOtja7UyvRnyeqfIGLfj5QAAAACIb1EJ\nNUpKUs6SHElSTVuNsryZstbveCkAAAAA4l9UQo3xJsjl7Rq6prVGKb6NCgSaHS8FAAAAQPzzODmY\n1yupokZK8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"text": [
"<matplotlib.figure.Figure at 0x107948790>"
]
}
],
"prompt_number": 13
}
],
"metadata": {}
}
]
}
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