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@arogozhnikov
Created November 12, 2014 12:29
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{
"metadata": {
"name": "",
"signature": "sha256:396dbbbef1f5fcd9edffd3fa859d8accd724e1b17d40c53b14e96539c7e77b8e"
},
"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": "markdown",
"metadata": {},
"source": [
"<!---\n",
"# 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\n",
" -->"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# 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"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"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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VHu6vv55vsec0SElqnMLDfdGi/OhsGUlqnMLDfe1auPTSoo8qSe2l8HBfsQI+9KGijypJ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\nZLhLUgX9L6TIRg+ZFcxTAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x11011d690>"
]
}
],
"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 0x11342f110>"
]
}
],
"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 0x113418f10>"
]
}
],
"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 0x1134e47d0>"
]
}
],
"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 0x1134dd150>"
]
}
],
"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 0x11358ad50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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U8R/Kytja0kJ960KRWRYLo10uTIqCNxLh2pQUBtlsFNntGBWFfJtN9qxESbg+TLAySNN7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o4NxMd/kbS0m4mKctGGTyIiIiKD8NpQs7txN3EhcYwPH+S1pgrnjMF/O581NcH118Nrr8G4ca6v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\nRK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x113434990>"
]
}
],
"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 0x11382df10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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m2muvxWazcf3115+S1SQvL4/W1lYikQher5iY2r9/P7bzdKZS/sJLJKfImkBA\nxMG0tPB+Wxu7YzGuzcjgxdGj+XJW1oCmQj5wAFatElnC3n0X0tPFGFfToLFRXFNSAt/6ltieOBGu\nvlrUGRw3TtZYGdKEwyJ/9ZHipbZWZBAbM0ZYUm64AR54AEaN6ioeqbfrGBGDeE0cVIjXxbHaLbRq\nDa1Z4/DrWwltCOEscKKoCvHaOEkXJeEbLVypLNNCcSnk3ppL8iXJJE1NGlABo+sBTDMBWCQSDUSj\nuwkG13ZZVNra3icW249lxRFKS8ThqKoXt3sYDkcWut6Ky1WIzzcOr3c0LlceNpsfj6cMpzPnWLeX\nSCSSIcktt9zC1KlTWbZsGbNnz0bTNFavXs3IkSNJTk4mkUiQmZmJqqq88847LFu2jMrKypO+T0lJ\nCVOmTOEnP/kJjzzyCGvWrOHNN9/k2muv7ff6c83d7EikqJFIjoFumuyMRtkdjbI9EmF3NEpDIsG6\nYJC6RIL56enYFYWbsrO5OTubcX7/ad0vHhcF0Zua4Ne/FhP1qgo1NcJl7KKLYMYMYW3RdSgtFe5i\nxcUiIF8G3Q9BTFP4+O3ZI9zG9u7tvd3cLIRKp3j5xjdgzBisESOI7tOJ7IwQ2RIhsTaB9jeNRMMO\nAmsCGO0dleVVsPlseMu96EEdV54Le5odVEidncqo344i+cLkM/b2dD1IPF5LPF5PLLabaHQ3sdg+\nDh9+HcvSsdtF0JXTmY3HMwK3uxSHIwOPpwy/f0LH+gIcDnGdDLqXSCTnCz3jYBVF6dovLCxkyZIl\n3H///dx8883YbDYuuuginnzySZKSknj88ce58cYbicfjXHPNNX1EyMnE177wwgvcdtttpKenc/HF\nF3PbbbfR1pE59Vh97G9/qCNTOkskPdBNk9p4nOcOHmRLJMKfO1zJUmw2xvh8lHk8jPX58NtsXJme\nznDPqaWVXbcOliwRcSyHD4tUxzt3wqZN4vzo0cKD6LvfFWPd1FRhiZEMUVpb+xcse/YIRZqaKhRo\naamwvvTYjtuyieyMEdkRoe7xOlS3SuJQgkS9cBmzJdnwVfrwT/SjOlVcBS7cw9z4xvtwF7tRXWcv\ndbBpasTjdcTjtUSju2lu/iuHD7+GzebH56vE6x3dJVxU1UN6+hex2c5e6mWJRHL+MtRTOktOnoFO\n6SxFjeRzRUjXuae6mqBhsC8WI9lmo1HT2NxRnLKTUrebr2Vnc3laGrPT0o7S2oljWWKM+7OfwTPP\niGOTJolCL7QgAAAgAElEQVTaLMOHi/PDh4s6LZddBg7Had9SMpDEYiJw6WjCxTT7iJWu7WHDwOvF\njJuEt4UxYybRHVEi2yO0f9RO+0ftqF4Vz3APrmIXRf+nCNWl4sh04Mp3DXjF+xMlEqmmre3vaNph\nwGTv3h/3OGvD75+AzeanuPhfyciYNyh9lEgknx+kqDn/kKJGIjlJWjSNj9rb+fHevVR1iJcHSkoo\ndLkY3hGbkGq3Mykpqas+zOmYW9evhw8+EJl033lHlP9obhbnVFXUa/n5z4XbmGSIYBgiT/WxXMSK\nivq1tFBaKoKcFAUzYWImTBoXNxKvjRPeFMYyLAKfBNCbdUBkEjPjJkmTk0ianIR/op+0WacvnE8V\n00zQ2PgCut5KNLqTUGgj4XAVhhHC4cgiNXUmbvcILCtBaen/Q1Xd55Q7gkQiOT+Qoub8Q4oaieQE\nsCyLD9vb+WVNDW+3tABwU1YWdxcWMr2f4lSnSmsrfPqpKLDe0iJiYRYuhPHjhRXG7RYxMBMmwMiR\ncIreapKBIh4XgfibN4ulqkr4/dXWioI7/VlaSktFtrEe2WIsyyJ+IE7Tn5tINCQIV4WxLIvWpd0F\nJjOvy8RV6MJX6cOR5cA7you3wotiG3xBoOtBtm27hUSikWBwDQBpaXNxu4fh9ZaTmno5Pt8YVFVm\nmJBIJEMDKWrOP6SokUiOgmVZ/OXwYX594AAftrcDMMrj4ctZWfx02LDTzkYWi4nSIG+/LUp7RDvq\nEbpcouD6hAli3DtjhkidLBlEDENYWqqqeguYfftEEZ5x48RSWQnl5SJg6QjF2fRqE42LG7Gn26HH\nT2t0R5T2j8T3CxWyb8zGU+bBO8aLPc1OxryMs/c+j4JlmWhaM7rewsGDzxON7sJm86NpTbS3r0LX\nhdAvL1+Ez1dJUtIUaX2RSCRDGilqzj+kqJFIELExzbrOb+vrWRMIUBUO06RpAEz2+/nNyJFMGwCL\njK6Lse+OHd3HvF6YNg2efFIkrZIMEvG4yHVdU9O97N4txMv27SJAqbKyW7yMGyc+sKPktzZ1kz3/\nsofAPwJoLRrRHVE85R6K7ivqJWqshIVvrI/Umaln6Y32j2km2LPnX7AsA1AIhzcRje5GURzE43XY\nbD4MI4TXO5rU1Evx+Sqx2ZJwONLxeMpwuYpl3RaJRHLOIEXN+cdAixr5H01yThA3TVYHAvyypoa/\ntbRgAlkOBwowMzWV344axUiPh2K3m2T7qX+tDx6Ep56C558Xk/3794vj69cL9zGfb0DejuRECAaF\nmuwpWmpru7dbWoRbWHFx9zJjRnfKuKSkfpvt+QOqHdaoe7yOht81dGUby709l8zrM/GM9OCrGBof\nuGFECYer0PUAsdg+IpFt1Nc/hWlGKC399466LcM73MdG43IVyaxjEonknCYQD7Dl0BY2H9pM1aGq\nwe6O5BxAihrJkGRHJMIrhw517T+wbx8Aw91u/rOsjK9lZ5M5AJH2gYAoZtnQAB9/DC++KI7/4Adw\n000iE++oUbL+y1nhwAH46CNRZXTVKhHrUlYmXMM6RctFF4l1SQnk5PSKczkW8YY4q0tWY2n9z/Kl\nfTGNca+NI+nCpCHhhmUYUXS9lUhkOwcOPE5z8xIUxUlKygxMM0xS0kVccMEHJCVNHhL9lUgkklMl\nrsfZfnh7l3jZfGgzmw9tpinSxJisMYzLHse4rHGD3U3JOYB0P5MMCQK6zk1bt7I1HMZvs7E1EiHX\n6eSKtDRKXC5sisIPCgtJPclcx/v2iUn95mYhXlRVCJTaWpGZLCEm55kxQ8SJT50qspNJi8wZxjBE\nnEungPnoI4hEYPp0+MIXxHrSpKO6ih2z6bBBvC5O9T3VhKpC2JPsRLZHUJwKU6um4ip2YXMPfoFH\nw4iQSBzk8OElHftBYrF9BINrCYc7ZyVV/P4J5OZ+k4KC78nClBKJ5JzFMA32tO7pI172tu1leNrw\nLvFSmVPJuOxxlKaWYlO7f/Ok+9n5h4ypkZw3tGoaqwMBHq+r428dGcreqaykyO3Gq6qUnmKqMNOE\n996D1avhwQfFxH5qqhAt48YJNzIQk/zXXCMy9UrOMOEwfPJJt4BZvVpYWjoFzPTpp2US01o19v/7\nfup+U4eVEL8z9jQ7I58Yib/Sj+pT8Qw7u+5YiUQT4fAWIpEttLd/jGnGulzHTDOKogjB5vEMJylp\nMk5nLh7PKJzObDyecny+irPaX4lEIhkIdFNnT+seth/ezo7DO9jSJFzIth3eRrYvm8psIVo6l/KM\nclz2409gSVFz/iFFjeSc5sXGRv67ro4mTWNnNIpXVSnzePh+QQFfy8nBd4LuRP3R2Cjcx37wA7E/\nY4YYMz/yyAB1XnJiaBps3Qrr1onl009hyxaRHq5TwFxyiQjkPw2MqEGiPkF4c5jN120GoPCfCyn4\n3wV4Ss9+PImut1Nf/zStre+i6wEike34fOPw+cbidpegqi6cznwcjix8vtE4nbnS8iKRSM5Z2mJt\n7Di8g+2HtwsB0yy297btJT8pn4rMCioyKhidNZrK7ErGZI0hydV/rOOJMJRFzbBhw1i0aBGzZ88G\n4KWXXuKuu+7iL3/5C7t27eKxxx6jrq4Or9fL5MmTefnll/H7/YPc68FHJgqQnHNopsmKtjbmbdoE\nwBVpadyfl8eFSUlUnsYf9Y4dwo3s3nvFuq1NFLS88UZ47DFpgTkrHClg1q0T2ceKi2HyZLF89asw\nZcppF+nR2jQan2+k8Y+NmGGT8GZRSNWWZMM71svEDybiyDg598STwTR1IpEtxON1xGL7ME2R09uy\nLBKJgxw48B8AlJb+P9zuYaSmzsTlKjhj/ZFIJJIzjWmZ1LTXdAmXngImlAhRnlEuxEtmBV+r/BoV\nmRWUpZfhtrsHu+tnFUVRuuIbn3vuOe677z7efvtt4vE4P/rRj1i6dCkTJkygtbWVN998c5B7e/4i\nLTWSM0bCNLlp61b+cvgwNmBKUhLvjB9P2knGxXRiGHD4sBAtmzeL5FdlZSIu5te/hgsuEHUSJWcI\nyxKCZe3aowuYKVPEB3GUzGMnQqJJWF+a/tRErDYGJrS809J1PueWHLK/mo09zU7ytGQU9cwEyluW\nQTS6m1hsL/F4PTt2fAuA1NTLcLuHYbend13rcGRhtyeRm/tNbDYZkCWRSM4tQokQO5t3drmMbW8W\n4mVX8y4yvZmUZ5ZTkVHRJWAqMivIT8o/q4lKhrKlprS0lGeeeYbq6mp+/OMfs3TpUiZNmsRjjz3G\nqlWreP311we7i0MS6X4mGXKEDYM2XedgIsGrTU0EdJ2QYfBcYyMAC8vK+N+Fhafc/tKlcN11ovhl\nJ3/8o6gVM3z46fZeckwMQ8TAvPaaWFwu8eA7RczEiSckYKJ7o0R3R4nvj6M1awQ/CxLeFMaR1S1w\njbBBaF0IAMWp4C334hvvI/PaTBRVIXl6Mq7cM1Ph3jCi7NlzP6GQsCaGw5vR9RZU1UtKyiWYZgLL\nMhg79s+4XLlnpA8SiUQykMT1OE2RJg6FDx1zaQg10BptZWTGyF6Wl4rMCkZljMLvHBpuUkNd1Eya\nNIlVq1bx7rvvUllZCcBHH33E3Llzuf/++5kzZw5TpkzBdQoJcM5XpKiRDAksy6Jd1/lDYyP3VFdj\nAwwg1+nka9nZVPp8JCyLazMzyTnF1MuWBU88Ad//vhg7//nPUsScFRIJWLFCiJglS0QtmC9/WSxj\nxpxUU1qrxsHnDrL7B7tx5jpxFbnwlHlABd9YHymX9C6QqrpVPOUeHKlnzo2sJ5ZlsHfvA9TU/Ay7\nPZXy8t/hcKRjWQZ+/yQcjsEtsCmRSCSdmJZJS7TluCKlc4loEbJ8WWT7srsXb3bvfV82Of4cCpIK\nemUaG4qciKhRfjowliPrJyc3Xh02bBitra3MmjWL1157rZcF629/+xtPPPEEK1euRNd17rzzTh59\n9FFUVR2Qvp7LSFEjGVRMy+LR2lr+7549Xcd+NWIE/1xYOKBmaMOAuXPF2PorX4H/+i/IlRPkZ45I\nBJYtg1dfhbfegoqKbiFzFCVp6iZYENkeoe6/6ojuiYIJsZoY9hQ7oc9CXddmfSWLMX8aM+g1VeLx\neurrn6K1dQWBwCpU1Y1pJigvX0Ru7q0oivwnI5FIBpdQIsT6hvWsrV/LuoZ1VB2qojHUSHO0mWRX\n8nFFSueS6k4d9N/cgWSoW2oeeeQRHn74YS6++GIWLVrU73UrVqxgwYIF/OxnP+POO+88y70cekhR\nIxkUflVby2fBIC83NaFbFtdmZPDK2LE4Bmimoboa/vu/ob1dxMosEaU7ePVVMa6WnAEOHRLFe/7y\nFyFopkwRD/u664R15gii+6KEN4Wp+WUNgVUBABS7gqVbOAuc5P+vfLwVXlSHiqvQBTZwl7ixp9oH\n5R+rYcRoaXmL5uY3aW5+B8MIYZphPJ6RpKZeTkHBXbhcxdjtKVLMSCSSQSGiRdhwcANr69d2iZh9\nbfuozK5kSv4UJudNZnzOePKT8sn0ZuKwnR0r9lBkqIuaRYsWMXr0aGbOnMkVV1zBE0880e+1CxYs\nID8/n4ULF57lXg49pKiRnBUsy2JvLMbixkYe3r8f3bL4Vm4ul6Wmcn1mJn776SXOq6uDDz4Qlph9\n+0Rdmexs+O53weEQhoIbbhiY9yLpIByGlSth+XIhZvbvh5kz4dpr4UtfgsxMAOIH4xx89iCx3TH0\noE7ru63oLToA9nQ77mI3hT8oJOuGLGy+oeeuUF//W1pb36Op6RUACgruwenMIivrJuz2VJzOzEHu\noUQi+TwS1aJsbNzIuvp1rG0QImZP6x7GZI1hSt4UIWLyJzM2a+znWrwcjXNB1MyaNYva2lpmzpzJ\nddddx8yZM4nFYsydO5fU1FQ+/fRTrr76ahYuXMjNN9882N0edKSokZxRDMvi762tzOlIv5xsszEv\nPZ1fl5WRdxrBbYEAfPihKHbZid8PF10kjpWWinG1ZADRdZGhrFPErF0LkybBnDlwxRVoIy4g0WIS\n/DTIoRcOEfwsiBE0MKMmKJDz9RySL0kGIPWyVLzl3jOWaexUsSyL1tZlRKN7MIwgLS3LaGt7j1Gj\n/ofk5Gn4fKNlLRiJRHLWietxNjVu6mWB2dm8k9FZo5mcN5kp+ULEjMseh9N2anGnnzfOFVEDsG/f\nPi699FLKyspQVZWNGzcSj8fJy8vjn/7pn/jhD384yD0eGkhRIzljxE2TCZ9+yo5olBKXi01Tp5J8\nGhaZaBT++lcR6N/UJI5ddhm89JJImOX1Dky/JR0YBmzbJtTj8uXw979DYWGXiOHSS8Hvp/GFRvY9\ntI/orii2ZDHg95R5yLklh9SZqbiHu89aoP6poGmtNDe/QTC4lrq63wCQl/dPqKqL5ORpOJ15pKXN\nGuReSiSSzwsJI0FVYxXrGtZ1iZjth7czKmNUlwvZlPwpVOZUfu7qtwwkQ1nUSE4NKWokA8rOSIT/\nqK3FBF5vaqJZ1zlw8cUUnIJV5re/hd/9DvbuFZl/DxwQxy+/HH75S6isFMclA4BhwM6dwvrSWTdm\nwwbIy4Pp04WQmT27V3aFtpVtVP9zNaHPQqRfmU7Zf5bhLT93lKWmtbBv30+pq3sct3sEfv948vK+\nTUrKF7Dbkwe7exKJ5DxFN3UaQ400hBpoCDZ0rQ8EDrChcQNbDm1hRPoIYX3pcCMbnzMej+P0Cg5L\neiNFzfmHFDWS0+ZPhw7x8qFDrGpvp1HTyHE4uC03l1K3m2syM09K0Dz9tBAyO3dCa6uIM//Wt2Dk\nSFAUKCmBU8zoLOnENGHXrm7xsnYtrF8vgpCmTBHL5MnCtSy1OwWx1qrR9EoTRsRg74/2YkZMMq7O\noPAHhaTNShvEN3RimGaccHgLDQ2LCARWEwp9hqr6GD16MVlZ1w129yQSyTlOTI9xMHSwl1Dpte7Y\nbom2kOHNIM+fR15Snlj788hPymdC7gQm5EzA55RFd880UtScf0hRIzklDMtiQyjE4sZGfn3gAF/O\nzGROWhpXpKVRdgp+YG+/DffcI7KW3XIL3HQTTJgARUVnoPOfNxoaRBaFTivM+vWQnt4tXqZMEQIm\nPR1TN4nuiJI4lAAF2t5vQ2vSaFzciBEwAMj9Vi5m3GTYQ8Pwlg09y4xparS1/Z1A4BMMI0A4vIVI\nZDvxeB12exJu93Bycr6G11tBaurlqKpUyRKJ5OiEEqEuYVIfrO8jUjrXYS1Mji+nl1Dp2u6xzvZl\nY1dPLzmO5PSRoub8Q4oayUnznR07eLqhAYBMh4Pv5ufzb6Wlp9TWrl0wdixoGkydCo88IsI1JKeB\nZUFVFbzxhliqq0VWsqlTu4VMRkbX5Xq7TnBdkJqf19D6bisArmIX7lI3equOb6wPd6mb7Juy8VX6\nhlydAk1rQ9db0bQmQqGN7Nv3UxKJOgoL78NuT8E043i9o8jIuAaHY+hblCQSyZnHsizaYm1CpBzD\nqtIQasC0zD5Wlf7ESronHVWmcz9nkKLm/EOKGskJc291Na80NdEQj/PquHF8KSPjpAe4liXSLcdi\n8MQTsHs31NQIdzNplTkNEgkR0N8pZFRVpH/70pdgxgyR1xrxjzxRn6D9H+00v9lMZEuE4NogAP7J\nfnK+nkP+d/OxuYd2hq9Y7ACh0Gc0Ni6mqekVnM5cXK5CFMVFbu43ycy8TqZalkg+x+imTn2wnpr2\nGva37RfrdrHu3FZQKEguOKZgyU/KJ8mZNOQmcySnjxQ15x9S1EhOiNpYjOLVq/lZaSk3Zmcz3HPy\nAYvhMIwbJ+rIzJ8vajXeeafY7qc2o+R4tLbCO+8IEbN0KZSXdwuZsWNFEFIPGl9sZNvXtgGgelW8\no71k35hN6sxUki8a2oHxlmWxe/d9HDjwaxyObDStEbs9naysG8jJuYXU1EsHu4sSieQsEowHewmU\nI0VLQ7CBbF82JaklFKcUU5xc3L2dUkxJSgkp7pTBfhuSQUSKmvMPKWokx8SyLC5Yu5ZN4TClbjd7\npk07qdfrOvz+98KIsHixOLZsmUimJTkFIhF48UX44x9FfMzllwsRc9VVvTKTARgxg/iBOPv/bT+N\nzzcCkHVTFmNeGDPk6sP0RzS6j/r6J9G0Jpqb30bTGikv/x3p6VeiKHZpiZFIzlNMy+Rg6GC3aOnH\n0hI34l3ipKdQ6dwuTC6UBSclx0SKmvMPKWokx2RZSwtf3LSJbVOnUu71HtcE394uBMz//I+Il9m+\nXRy/8kqRyezLXxYx6pKTZNcu4a/3hz+IFMt33CGUYUdSBsuyOPTCIRJNCdpXtnP4tcNdL1XdKiUP\nllB8fzGKbWiLGdNMYBhhtm69idbWd3G5isjNvZ2kpCn4fGPweEYMdhclEskAYJgGO5p38FnDZ+xs\n3tlLtBwIHCDNndZHrPS0tGR4Tt79WSLpiRQ15x9S1EiOyn3V1fzqwAGuycjgjcrK415/551CzABM\nmwY33yzi08eOhdOoufn5xTDgzTeFmFm/XgiZ73wHhg0DhJDZ//B+Dr18iMj2CJiQ9sU0vKO8uApc\n5H07D0fG0J2ptCyLpqZX0PUAut5Gc/MbtLevRFW9uFxFjBnzIklJEwe7mxKJ5DQxTIPth7ezrmEd\n6+rXsa5hHRsbN5Ljy2Fy/mRGZ47uJWAKkwtlTRbJGUeKmsElKSmJqqoqhnWMaXry7LPPsmjRIlau\nXHlSbQ60qJFD1/OAZk1j2mefUR2N8svhw/nhCUTwP/ywEDS/+AXcf/9Z6OT5zKFDsGgRPPUU5OfD\nXXfBkiUYOEjUJWh8eB/1T9WTqE8AkD4/nZH/NRLvaC+uvKFbjVTT2ohEtlJT8ws0rYlIZBu63kZ6\n+pUdgf5FjB//LunpMv2dRHKuops625q28VnDZ0LENKxj48GN5CXlMTlvMpPzJnNtxbVMyptEqjv1\n+A1KJJ9Thg0bxqJFi5g9ezYAL730EnfddRdLlixhxowZLFq0iMcee4y6ujq8Xi+TJ0/m5Zdfxu/3\nD3LPT4xgMDjYXTguUtSc48RNk9kbNlAdjfLRxIlMTzl6IOXhwyJr2Zo18OCD8L3vSUFzyhiGSAv3\n7LMYb79Hy+TvErj8RQxfJoH/DBC6dXXXpapHJW1uGkU/LCL1C0NjUGBZBoYRxTDaCYU2EAptJBbb\nTyi0gVhsL5rWBIDXOwaXq4js7Jvxekfj9VbgdhcOcu8lEsmpoJs6W5u2dllf1jWso6qxioLkAibn\nTWZS3iSur7ieiXkTpYCRSE4SRVG6XCyfe+457rvvPt5++22mTZvGBx98wI9+9COWLl3KhAkTaG1t\n5c033xzkHp9/SPezc5iwYXDB2rVUR6NsmzqVCl//FY0bG+HXv4af/1zsjxwJs2fDk0+exc6eL2ze\nDH/4A8biP1HD12mIXEaiXbiM+Sf7SZmegme4B+9oLykzUrB5hk6q5Xi8AcMIsH//IzQ2/gEAhyMT\nv38iphnD758IKKSnz8XtLsXjKUNVh647nEQiOTqaoQkB08OFrOpQFUXJRUzOn9xlhZmYN5Fk19DO\npiiRwNB3PystLeWZZ56hurqaH//4xyxdupRJkyYB8Nhjj7Fq1Spef/31U2r7448/5p577mHXrl2M\nGjWKhQsXcvHFFwNw2WWXcemll7JixQo2bdrExRdfzAsvvEBGR3271atXc++997Jt2zZKSkpYuHAh\nM2fO7Pc+1dXV3HHHHWzcuBGHw8Hs2bN56aWXAFBVlerqaoYPH05zczO33347H3zwARUVFcydO5f3\n33+/y/1s+/bt3H333Xz22WdkZWXx8MMPs2DBgj73k+5nEgAMy8Lf8eVZMm5cH0FjWfDyy8K9bMMG\nUQblRz8SbmcyVvMkOXQIXngB49kX2bjtDqyMSwg2zAeg4PsF5H4rl6SJSYPcyd4YRpRodBfB4Gcc\nOvRHWluXA+BwZAMmo0b9D7m5t6KqzsHtqEQiOW2iWpQdzTt6WWA2H9pMcUpxl3i5adxNTMydSJJr\naP1WSSTnE0888QSrVq1ixYoVVPaIbZ42bRoPPvggDz30EHPmzGHKlCm4XCfmft7S0sJVV13Fb37z\nG26++Wb+9Kc/cdVVV7F7927S0kSB6hdffJF33nmHwsJCrrzySh577DF+9rOfUVdXx9VXX83ixYuZ\nN28ey5cv54YbbmD79u1kZvbNSPrAAw8wb948PvjgAxKJBGvXru23T9/73vfwer0cPHiQPXv28MUv\nfpHhw4cDEA6HmTNnDv/+7//O0qVL2bRpE3PmzGHcuHGMHj36ZB/pSSFFzTnI9nCYJ+vrATg8fToZ\njt6z6YYBCxbA66+L9WOPCcuM5CSIxdBeepPgU3+nZb2TUNpU2hp/AcD4P4xHdamkXJIyZLKTWZZF\nS8tSamt/gWFECAY/weHIweMpw+cbw+jRL5CWNkemVZZIzjE6i1LWttdS015DbaBWbAdqqG2vpTZQ\nSzAeZHja8C4LzM3jbuaC3AukgJF8/hioWdtTsAhZlsXy5cuZNWsW48aN63XuC1/4Aq+99hpPPPEE\nCxcuRNd17rzzTh599FFUVT1mu2+99Rbl5eV8/etfB+CrX/0qjz/+OG+88Qa33XYbiqJw++23U1ZW\nBsCNN97IG2+8AcDixYuZP38+8+bNA+CKK65gypQpvP3229x666197uV0Otm3bx91dXUUFBRwySWX\n9LnGMAxee+01Nm/ejMfjYezYsdx22218+OGHALz55puUlpZy2223AXDBBRfw5S9/mVdeeYUHH3zw\nZB7pSSNFzTlEzDC4b/dunqivp8Tl4iclJX0EDcCkSbBpk0gE8O1vD0JHz1Usi/b/WcXB/9yOsncX\n9fErgQV4y92kXpFOyfVZpMxMQbUf+wfobBGN7qW6+p+xLIOWlrcAEQNTVvZrPJ4ReDzDB7mHEonk\nWFiWRVOkqUuc1LTX9N4O1NIYaiTbl01RShFFyUUUpxRTll7G5aWXU5xSTFFyEVm+LFRlaPwuSSSD\nyiC6pymKwlNPPcXDDz/Mt7/9bRYtWtTr/Lx587rExYoVK1iwYAHl5eXceeedx2y3vr6e4uLiXsdK\nSkqo75jcBsjtUffO4/EQCoUA2L9/P6+88gp//etfu87rus6sWbP46KOPuPLKKwGR5KCqqopf/vKX\nPPDAA1x44YWkpaVx3333cfvtt/e6d1NTE7quU9QjKVXP/u3fv581a9Z0WZE679mfiBpopKg5h5i4\nbh3bIxEeGzGC+/rJcGaacMMNQtDs2QOlpYPQyXMNw8BavZrgoo84/HozNW3zcaUUkX/3VEbkpZN/\nVz4299CJi+kkFNpMVdVVaFoTFRXPkpt7KxkZV2Gz9R9XJZFIzj6BeOCYguVA4AA+h4+ilKIugVKU\nXMTEvIld+/lJ+bIopURyjpCTk8N7773HzJkzueuuu3jiiSf6vW7WrFnMmjWLLVu2HLfNgoICXnvt\ntV7H9u/f3yVIjkVxcTHf+MY3ePrpp/s9f2RGs5ycnK5rV61axRVXXMHMmTO7XMsAsrKysNvt1NTU\nUF5eDkBNTU2ve86cOZNly5Ydt38DjRQ15wBx02T0J5+wNxZj89SpjO0nIUB7uxA0770Hzz8vBc0x\naWqCpUux3nob428r+TT8OHHtIhzpMOLR4RT9sPj4bZwlTDNBInGQaLSaSGQHodB62tr+TjRajds9\ngilTNuH1lg12NyWSzx1xPc6BwIGjCpba9lp0U+8jWGaWzOyyuhSlFOF1eAf7rUgkkgEkLy+vS9jc\ne++9/OpXv2LJkiXEYjHmzp1Lamoqn376KR988AELFy4ERJ2Xn/70p+zdu7dPe/Pnz+fuu+/mxRdf\nZMGCBbz66qts376dq6++uuuaoyVQuOWWW5g6dSrLli1j9uzZ/5+9+46ruuz/OP467A0yZIkgiAqY\ne4uKZWpauTU1G2p5V5Zpd3WXDSsbZpkNLZuunKU5f24xc+JEQAFl76EM2XC+vz+O4QIRBM4BP8/H\nwwD7YOgAACAASURBVMfhwPdc38/Rbu/z9rquz0VJSQlHjx7F29sbV1fX265fv349PXv2pFmzZtjY\n2KBSqW5bHqevr8/IkSOZM2cOv/76K9HR0Sxbtqw8+AwdOpT//e9/rFy5knHjxgFw5swZLC0tadOm\nTc1+U++ShBod90FMDHNiYgCI6t6dFqY3H3CWmAhvvaUJMgC//w4TJtRzkbpOrdYchrl9O2zbBufP\nk9dlNCcPTUVdpJn27X6pO6aeunV4XH5+OMePt0Ff3xojIwf09EwxMfHE2XkaTZs+Ia2Vhahj+SX5\nRGRGEJEZQXhGOOGZ4URejiQ2K5YrhVdwsXS5KbC0d2zPo60eLV8mZmNiU97iVQhx/3Bzc2Pfvn30\n7dsXU1NTBg8ezAcffMD06dMpKirC2dmZN954g/HjxwMQHx+Pv79/hWPZ2tqydetWZsyYwQsvvIC3\ntzdbt27F1ta2/Job/565sbV0s2bN2LRpU/m99PX16d69e6UzSCdOnGDmzJlkZ2fj6OjIN998U37Y\n5o33+O6773j22WdxcnLCx8eHyZMnExgYCGgO6dy1axezZs1i1qxZqNVqOnTowIIFC2r8+3m3pKWz\nDipVq3k+IoLfUlIAmOLkxHfe3pjoX18GlZ8PI0fCzp2a53PnwmuvgYmJNirWUcnJ8OWXsHIl2NjA\nkCEwZAhZSjvODAxD30Kfzic7Y9ZK9/6ltKysgLNnH6KkJJ3u3SO1XY4QjVaZuoy47DhNcMkMLw8v\nEZkRZORn4GXrRWu71rSya1X+6GHjgaOFo+xjEaIe6XpL53sxaNAgvvnmm/LlXPeL2m7pLKFGx+SW\nlmL1zz8ArPTxYXzTpujdkI5zciAyErp00TzftQsGDJA2zTeJi4PPP4dVq1BPeIpMnynE/lpEUUIR\nJWklAFj1tqLDvg7oGenGh5K4uC/IzNyMvr45V6+eobg4BXPztnh4fIiDwwhtlydEg3e54DLhGeHX\nw8u14HLp8iXszexpbd+aVrataG3fujy8NLdujr6e7u2pE+J+1JhDzf1KQk0jVapW835MDF/Ex1Os\nKKT16oWD0fUzRD79FN5++/r1VlYQFgYVLIm8f128qDlhdMMGknvMIa2gJ1cC8wAwdjem5cKWmLUy\nw6SFic4cipmW9gcXLkxCrS6kefO3sbb2x8DACjMzXwwNm1Q9gBCiXFFpEZeuXLppudi/IaaotKg8\nsLS2a60JMXat8Lb1xtxIGmwIoesk1DQ+EmoaoZ+TknguIgKAjzw8mOLsjPO1Q5nUanj3XfjkE/j4\nY/jvf8FIzku8ifpMKFdmrSTrSD5Ztg+BoyO5pwto8nATXF9yxX6Y7p3NUlp6lbNnB5Cbewxb2yH4\n+a2TzmVC3AVFUUi+mlweWsIzwom4rAkxCTkJNLduftNsy78BxtHcUfa3CNGASahpfCTUNDJpxcW0\nPHaMABsbNrVte9P/6f74I0ybpvl6+nT49lstFamj8v8vhOjnjpKeqOn+ZdXdHOsAW2wH2qJnqodV\nNyudORzzRsXFGQQFtaWsLIcuXc5iZuat7ZKE0DmKohCfE09Yethtv4z0jWhj3+am0NLarjUtmrTA\nSF/+1UeIxkhCTeMjoaYRKFMUQvLyCMzK4tWLFzHR0yPL3x/ja23zSko0TQC2boWJEzWdzeQfGK8r\nPJHAmYfOUJhjgZ5hGW6z3HB72xMDK91t5ldScoWcnKPk5p7k8uXt6OmZ8MADW2R2Rtz3ytRlxGTF\nlAeW8xnnyx+tjK3wdfDF195X8+jgi4+DD/Zmujf7KoSoWxJqGh8JNQ3cn+npjL522JKzkRGP2Nry\nY+vW6KtUpKbCq6/CmjWaa5cuhaef1l6tuiT5t2SydmWQuiaz/HvtN7agyXB3LVZ1ZyUlmeTmniAi\n4gUKC6OxsuqBSmWIkZEzHh7vYW7up+0Shag3pepSLl2+dH3GJUPzGJ4RjoO5Q4XhxcbERttlCyF0\nhISaxkdCTQMUXVDA0pQUvoiPJ1+tpo+1NX+1bYut4fVTosPCwO/aZ9zPPoM339RSsToo6n+XiJsX\nj63xaRzaZWP79QSMenjr3Pp4RVFISlpMaWk2KSnLKCiIwNDQHlPTlnh6zsPGpq+2SxSizhWXFROZ\nGXlbeLl4+SKulq7XQ4u9D74OvrSxb4OlsaW2yxZC6DgJNY2PhJoGyPPoURKKinjMzo4fW7fG7oYw\n8y9/f02r5sREMNDdVVT1KudYNglvBpF2wABX56N4b+wP3btru6zb5OdHcuXKbjIyNnLlyj7s7Ydh\nbe2Pnd3jmJm11HZ5QtSJgpICIjIjbgsvMVkxuFu7l4eXf3+1tmuNqaFuHXArhGg4JNQ0PrUdauTj\ncx1LKy4murCQ8G7daGVW8SGPe/bAoUOwfr0EGoDEHxLJXBHF5cNlGBtk0/YdU+w/fFPnNhYVFFzi\n7NmBFBZGYWTkSpMm/endOxNDQ1kyIxq+nKIcYrNiic2Ovf54w9dXCq7Q0rZleWgZ5zcOXwdfvG29\nMTYw1nb5Qggh7jMyU1OHyhQFj6NHyS4tJadPnwqveeMNmD8f+vaFAwfquUAdVBRxmXO9AzHMicft\nP02w/XKCziW9kpJMDh92RVGKMDFpQfv2uzEx8dS55XBCVEZRFNLz0+8YWkrKSnC3ccfd+tovm5sf\nnSyc5GBKIUS9aSgzNQEBAQQHB5OSkoLRtTM4AgICmDRpElOmTCm/LjAwkEmTJhEfHw9o/l7+9ttv\n+emnn4iOjqZJkyb07NmT9957j7Zt22rlvdQ1malpQD6LiyOhqIjQrl1v+1lmJjzyCAQFwddfa1o2\n34/UpWqi/heFUqpwNTCR7LNgZGqCz9/jMO/upO3ybpOXF0p8/FdYWHSgU6fDqFR62i5JiNuUqctI\nyk26ObDcElxMDU1vCiktbFoQ4BFQ/j07UzsJ6kIIUQ0xMTEcP36c5s2bs3nzZkaPHg1oPqRX9ffp\njBkz2L59Oz///DO9e/emtLSUjRs3sm3btkYbamqbhJo6kFZczLiwMAKzsnitWTN8zW9u2/vRR/De\ne5qv//gDRo3SQpFaVlZQxomOJygILwDArVsU9lGHaP7OSGw/GIJKT3c+TJWWZnP16hmiomaTk3MI\nJ6cptGz5lQQaoXWFpYWcTz/P2dSzBKcGE5wazKUrl0jKTcLO1A4PG4/y0NLBqQPD2gzD3dqd5tbN\nZXO+EELUsuXLlzNgwAC6d+/OsmXLykNNVSIjI1m8eDFHjx6lS5cuABgaGjJhwoS6LLfRkVBTy07k\n5ND11CkAFnt784Kr600/LyrSBJpZs+CDD8DCQhtVakdBdAE5R3KInB5J6ZVSADous8By/lT0XD1h\n6xJwcNBylTdTFIVDhxyvLTXzonv3aExNPbRdlrjPKIpCYm5ieXD5N8REXYmipW1L2jm2o71jex72\nfBhvO2/crNxkX4sQQtSz5cuX88EHH9CtWzc++OAD0tPTcbiLzzV79+7Fzc2tPNCImqky1KhUqsHA\nQkAf+FlRlHm3/NweWAk4XRvvC0VRltZ+qbqvSK0uDzS5/v5Y3LIXJCQEZs7UfD1vns5tFakzYU+G\nkfZ7GgB6ZnpYdrXE57tmGK9fhOq1RfDllzBpkk41AlAUNfHxXxAX9zmKUoS/fxYGBtbaLkvcB/JL\n8glNCy0PMMFpmkdDPUPaObajnWM7Hmn5CP/r/T/a2LeR8CKEENeoAgNrZRwlIKDar/nnn39ITEzk\n8ccfx9LSEl9fX37//XdeffXVKl+bmZmJk5PuLblvaO74sVqlUukD3wEDgEQgSKVSbVYU5fwNl00H\nTiuK8ta1gBOuUqlWKopSWmdV66Cv4uP5MTkZgLgePW4LNDEx0LEjmJjAunWNM9CoS9VkH8wm+edk\n8sPzUYoU8kLyAPBZ7YPDKAf0Cq7Ct99C/4UwaBCcPAnNm2u58usKCi4RFzePjIyNlJZm07z527i6\nviSBRtQ6RVGIy467bfYlNjuW1natae/UnnZN2/Foq0dp59gORwtHbZcshBA6rSZhpLYsW7aMgQMH\nYmmpWdo7ZswYli1bxquvvoqBgQElJSU3XV9SUoLhtSM+7OzsSL72GVLUXFUfrbsBFxVFiQFQqVRr\ngGHAjaEmGWh37WsrIPN+CTQpRUW8Ex3NLykpAMxwdWWdry9uJibl1xw/Dr/9Bj/8AMbGms/wrVpp\nq+K6o6gVTvc6TW5QLhYdLLD2t8b2EVuMHI0wbWmKgSofPv8UFl4LMwcPQps22i4b0Gz+T0tbQ3b2\nP2RlBWJt7Y+n53yaNh2Dvr551QMIUYW84jzOpZ27Pvty7Ze5kblm9qVpO4a3Gc57/d6jtV1rDPVv\nP8tKCCGEbiooKGDdunWo1WqcnZ0BKCoqIjs7m+DgYJo3b050dPRNr4mOjsbDwwOAhx56iOnTp3Py\n5Ek6d+5c3+U3GlWFGlcg/obnCcCtpx/+BOxTqVRJgCUwtvbK0135ZWU0P3qUEkVhQtOmfNWyJU2v\nte77l1qtOSvSygo++QT+9z+dWmFVK5KWJBHxn4jy535/+uEw8ob1ozk58O08nQwzpaW5REW9QVLS\nD7i6TsfJaQqenvOwtOwqXZ9EjcVlx3Eq+dRNsy9JuUn42PuULx8b6TOSdo7tsDez13a5Qggh7tFf\nf/2FgYEBZ8+eLW/jrCgKY8eOZfny5YwbN45JkyYxatQounTpQmRkJAsXLixfmubt7c2LL77I+PHj\n+emnn+jZsydqtZq//vqL2NhY3nzzTW2+vQajqlBzNw3B3wbOKIoSoFKpvIDdKpWqvaIoubdeOGfO\nnPKvAwICCNDiNOG9+DAmhvdjYgAo6NMHE/2Kz2pYs0bzmJICpo3oIO3itGLi58eT9GMSZTlluL/j\nTvO3mqMyUqFncK0jWE6OZpmZDoYZRVGIjn6HuLhPMDZuhq/vWpo2vS+yuKhliqIQeTmSv2P/5u/Y\nvzkQe4DC0kK6unSlvWN7xvqOZW7/uXjbeWOg1wjXnAohhGD58uVMnjyZZs2a3fT96dOnM2PGDD7/\n/HM+++wznn32WeLj42natCnPPfcczz33XPm133zzDd988w0vvfRS+Tk1ffr04b1/2+U2YoGBgQTW\nwn6oOx6+qVKpegBzFEUZfO35W4D6xmYBKpVqO/CxoiiHrj3fC7ypKMqJW8ZqFIdvbsrIYHhICB95\nePDOtWnDihQXa5abjR0La9fWX311LfbjWKLfiUbPRA+3N9xwnuyMifv15XZcvao5eOffMPPOOzoT\nZsrK8klK+p6oqNkoShHdukViZtZS22WJBkStqAlJCykPMX/H/o2RvhH9PPrRt3lf+rr3pZVdK5np\nE0KIWtZQDt8Ud6++D988AXirVCoPIAkYB4y/5ZoLaBoJHFKpVI5AayCquoU0FM+Hh9PRwoLZ7u53\nvO6//9U8Ll9eD0XVg8hXI0n8LhHKwO2/bnjN97r9ouBgTYpr315nZmYURaGsLIfLl3cQFvYEBga2\nODtPpUWLjzA0bKLt8oSOK1WXcjr5tCbAxP3NwdiD2JvZ09e9L4+1eoz5D8/H3ebOfxcIIYQQou7d\ncaYGQKVSPcL1ls6/KIryqUqlmgagKMqSax3PfgOaA3rAp4qirKpgnAY/U/NyZCTfJSaS2qvXbftn\nblRaCoaG8Prr8Pnn9VhgHVAUhfCp4aT8loLnZ544PeOEUVOjWy+CX36Bt96CBQs07Zm1TK0uJisr\nkJSU5aSl/Y6hoQO2tkPw8Vmq7dKEDissLSQoMag8xByJP4KHjQd93TWzMH2a98HZ0lnbZQohxH1H\nZmoan9qeqaky1NSWhh5q8svKMD94kNnNmzPX07PS6378EaZN03x9+TI0acCTAcm/JhP3eRwF4QW0\n+LQFbq+5oWeod/NFV6/Cf/4DZ89qelX7+Gin2GsURSE39wRnzz5EWVkuTk6Tad78LVlmJiqUV5zH\nkYQj5UvJTiSdwMfBp3wpmX9zf+zM7LRdphBC3Pck1DQ+Emq0IKaggBbHjgFQ1LcvRnp6FV4XGwse\nHjBiBPz5Z8PrdFaUWMTl3ZcpySghLziP1BWpuL7siv0Ie5r0ryCd/bvczN8fvvkGzMzqv+gbJCX9\nRETE8wA4OIyjdeslcr6MuElWYRb/xP1THmLOpZ2jo1NH+rn3o697X3q69cTK2ErbZQohhLiFhJrG\nR0KNFrgdOUKhWk1ar14VbgBWFM3e+JkzNZ/rc3Ohktyjs1JXp3J+wnlUhipcp7uCCoxdjHF7ze32\ni3VouVlpaTbx8V+Qnx9OVtYBXF2n06zZKxJmBKAJMQdiDrA/Zj+BMYFcunKJ7q7dy5eTdXftjqlh\nI2pNKIQQjZSEmsanvhsFCCCtuJgzXbpU2tHo3Xfh4481kxbLljW8QHNl3xXOTziP7SO2tN3c9npb\n5ork5MCLL2qWm/39t1aXm129eo4TJ9qhp2dCixYf4+b2OpaWlf85icYvtyiXg3EH2R+9n/0x+wnP\nDKdns5709+jP90O/p7NLZ4z0K98PJ4QQQoiGSUJNFY5mZ1OsKFgbVPxbdeQIbNwIX30F185QalDU\nxWrOPnQWyy6WPLDlAVT6dwgE27dr9s888ggcO6b15WaXL2/H3LwdXbue1WodQnvyS/I5HH+Y/dH7\n2Rezj3Op5+ji0oUHWzzIV4O+optrN4wNjLVdphBCCCHqmISaSpSo1fgGBXGxoIBR9vY4VdDt7O+/\noV8/8PSE0aO1UOQ9uvTGJeLnxwPgt8Gv8kCTkaFJbEeOwNKl8OCD9VfkLdTqEuLiPiU29iMUpRRX\n11e0Vouof0WlRRxNOMr+GM1MzMmkk7R3ak9/j/58/ODH9GzWU5aTCSGEEPchCTWVOJaTw8WCAna1\na8fDtra3/XzLFnj8cRgyBLZubXhNAXLP5BI/Px7nac54f+dd8ZIzRYH162HGDHjiCU1jAHPz+i8W\nTZi5fHknUVFvUFAQiafnfFxdX0RPT5YSNWYlZSWcSDrB/pj97Ivex7HEY/jY+9Dfoz9v+b+Ff3N/\nLIwstF2mEEIIIbSsge3+qD/fJyXR2tT0tkBTWAgDB2oCTa9esGFDwws0ZXllnOx4EvN25rT6vlXF\ngSY5GUaOhA8+uL6+TkuBBiAsbCwhIY9hZ/c43bpdwM3tVQk0jVCZuoyTSSeZf2g+Q34fgv18e17Y\n9gIZ+RnM6D6DhJkJHH/uOPMensfgloMl0AghhNAZq1atokuXLlhaWuLi4sKQIUM4dOjQHV+zdOlS\n9PT0mDVr1k3f37RpE3p6ejz77LN1WXKjIjM1FcgqKWFVWhpfeXnd9rPffoPdu2H5cpg4sWE1BSjN\nLSXi+QjS1qQB0G5nu9s31SuKZonZm29q9s+sWQPG2t2TEB09h4yMv2jb9i/s7YdptRZR+xJyEthw\nfgN7o/fyd+zfuFi60N+jP1M6TmH5iOXYm9lru0QhhBDijhYsWMC8efNYsmQJgwYNwsjIiB07drB5\n82Z69+5d6etUKhVeXl6sX7+e+fPno6+vD8CyZcto1aqVND+qBgk1FRgTFgbAFOebTw4/dkzT+Gve\nPK12Ma6W4rRi0lankbY+jZxDOQC0WdoGh3EO6Jvo33xxejo89ZTmcfduaN9eCxVrlJZeJTn5J7Ky\nAsnM3Iyn5+cSaBqRjPwM/gj7g9UhqzmXeo5hbYYxvu14ljy6BCcLJ22XJ4QQQty17Oxs3n//fZYu\nXcrw4cPLvz906FA6deqEmZkZiYmJNLl2Ivvp06cZOHAgycnJKIqCk5MTlpaW7Ny5kyFDhnD58mWO\nHDnCpEmTSE9P19bbanAk1NyiRK1mz5Ur/O7jg+UNHc/++ktzqKa/P7zxhhYLrIay/DIOOx4GwGGs\nA35/+mE31A494wqml44e1fSkfvJJ+PBDqKTbW305ebILBQXheHh8hKvrdGxtH9ZqPeLe5Rbl8teF\nv1gdsprD8Yd5xPsRZvWYxeCWg6VDmRBCiAbryJEjFBYWMmLEiNt+5uzsTM+ePfnzzz+ZOnUqoFmm\nNmbMGAxu+Kw1adIkli9fzpAhQ1izZg3Dhg3DWMsrZRoaCTW3+Cc7G4BxTZuWf2/bNk2gadcOAgO1\nVFg1qYvUnHv0HAA9k3pi7FzJ/zAUBRYt0gSZn3/WbBbSsuTkXykoCKdr1zDMzbV3Do64dwUlBWyP\n3M7qkNXsjtpNP/d+TGo3iXVj1sl+GCGEELUqUBVYK+MEKAHVuj4zMxN7e3v0KtmTMGHCBFatWsXU\nqVNRFIW1a9eyatWqm64ZMWIEM2fOJCcnhxUrVrBgwQK2b99e07dwX5JQcwO1ovDg2bM8YG6OvkpF\nbq5m8mLHDhg8GP7v/7Rd4d3JPpTNaf/TgGapWaWB5upVeP55OH9e0665gj1E9S0+/kvi4ubj57dR\nAk0DVVJWwt7ovawOWc3m8M10cu7E+Lbj+fGxH7E1vb2ToBBCCFEbqhtGaoudnR0ZGRmo1eoKg83I\nkSN5+eWXSUlJITw8HD09Pfz9/W+6xsTEhKFDh/LRRx9x+fJlevbsybZt2+rrLTQKEmpusDkjA4B/\nOnakrAw8PODyZfjjDxg1Sru13a3M/8vk3JBzmLc3p/OxzhUvNQO4cEHzprp3h8OHwVT7Z3tcuDCV\nlJRf6NjxCNbWPbRdjqgGtaLmn7h/WH1uNX+e/xMvWy/Gtx3PZw99hrOlc9UDCCGEEA1Uz549MTY2\nZuPGjYyq4ANjkyZNGDhwIGvXriUsLIzx48dXOM5TTz3Fgw8+yJw5c+q44sZJQs01OaWljAgN5TE7\nO9JjDbBuqfn+4cPQs6d2a7sb+eH5pP6eypU9V7AfaU/bP9tWfvG6dfDSS/DZZzBlSv0VWYmcnGNE\nRr5Mbm4Q7dvvl0DTQCiKwqnkU6wOWc3a0LU0MWnC+LbjOTb1GC2atNB2eUIIIUS9sLa25sMPP+Sl\nl17CwMCAhx9+GENDQ/bs2UNgYCDz5s1jwoQJfPbZZ8TFxbF///4Kx+nXrx979uyhY8eO9fwOGgcJ\nNdc8Hx4OwDpfX+a+DyYmkJoKVlZaLuwuJP6QSOQLkQA4P+eMy4suFV9YUqLpcrBpE+zcCZ061WOV\ntysoiCE0dARXr57B1vYROnY8jLV1A0iQ97nz6edZE7KG1SGrUStqxrcdz46JO/Br6qft0oQQQgit\nmDVrFk5OTsydO5eJEydiaWlJly5dmD17NgCPP/44U6dOxd3dnQceeKD8dSqV6qa2zf3796/0Z+LO\nVIqi1M+NVCqlvu5VXanFxTgdPsxqHx/GNXWkd2/o3Rvmz9d2ZVVLWZ7Chacv4DDaAd81vqj0K/mP\nPy4Oxo0DOztYsQKutRXUlqysg5w50xdj42b4+q7F2rqXVusRlSspK+FowlF2XtrJ1oitpOenM85v\nHOPbjqeLSxf5C1cIIUSdU6lU6OrnSFEzlf2ZXvt+tT9c3PehJignh1GhoSQUFaEOCCA7G2xs4NAh\n6KXDn7MTvksgfV062QezcZ7qTOufWld+8datmmVm//0vvPaa1k8MjYh4gaSkH7CxeYgOHfZotRZR\nsZisGHZe3MnOSzvZF70PL1svBnkN4pGWj9DLrRf6evpVDyKEEELUEgk1jY+EmlrmefQo3qamLGnZ\nmq/fMWHhQs33dbBU1EVq0v9MJ+dYDonfJOL4tCMuz7lg3du64heUlMDbb8PatbB6tWb6ScuSk38l\nPHwKfn4bsLcfhkql3YAlNPKK8wiMCWTnJU2QySrMYqDXQAZ5DeJhz4dxtHDUdolCCCHuYxJqGp/a\nDjX39Z6aMkUhurCQCRF+tOhgAsDs2fDuu1ou7AbFqcXkns4l+adkMjZourNZdrfEa4EXzWY0Q6VX\nxXIzW1s4fVqz7EyLCgqiOXmyM6WlV/Dz+xN7++GybEmLFEUhODW4PMQcTzxOF5cuDPIaxJpRa2jv\n1B49CZxCCCGEaCDu65maMkXBKPAA6gcDeP11+PxzbVd0s/yL+Rz3Pg6ARWcLXJ53weX5SpoA3EgH\nlptlZGwlLy+Y1NRVlJSko1YXYGc3FE/PeZiYNK/3egRk5Gew+9Judl7aya5LuzAzNGOQ1yAGtxxM\ngEcAlsaW2i5RCCGEqJDM1DQ+MlNTiy5cALUaBgzQvUADcG7oOQD6lvRFz+AugklRkWa52fr1sGGD\nVpabKUoZWVkHCQl5DGvrPjg6PomlZSesrLpjYFDJMjlRJ27c4L/z0k4iMiMI8AhgkNcg3u37Ll62\n2j9sVQghhBCiNty3oSY6Gtq2BXbB7t3aruZ24f8JpyCigM6nO99doAkLgwkToEULOHUK7O3rvsgb\nFBUlc/bsw+Tnh2Jk5IKz83O0bv1jvdYgrm/w33FpB/uj9+PZxJPBLQfzxcNf0NOtJ0b6RtouUQgh\nhBCi1t2XoebsWejQAWidCzrWxCk/PJ/jbTRLzvz+9MOyQxVLghQFFi2CDz6ATz/VLDur570qxcUZ\nJCX9QH7+BXr3zsDQULv7d+4XakVNRGYEQYlBHEs8xu6o3eUb/Ef5jOKHoT/IBn8hhBBC3Bfuy1AT\nEgJt2kDPDUmcy9edfQSKohA5IxJDe0O6R3fHwKKKP57UVJg8GdLSND2oW7Wqn0JvkJd3nqAgXwwM\nbPD0/EwCTR1RFIX4nHiCEoMISgrieOJxTiafxNbUlq4uXenm2k02+AshhBDivnVfhppdu6BlS9hy\nOZMZrq7aLqfciQ4nyAvOw3e9b9WBZutWeO45zczM+++DoWH9FHlNWVk+qakriYiYhq3tENq121av\n92/s0vPSCUoKKg8xQUlBqFDR1bUrXV268nqv1+ni0gUHcwdtlyqEEEIIoXX3ZfczLy/4z8xS3mj7\nD3l9+mCmr/01aAUxBRxrcYxuEd0w8zar/ML8fE1Xs+3bYcUK6NOn/oq8wfnzT5GaugIHhzG0bv0r\nBgYWWqmjMcgtyuVk8kmOJx4vDzJZhVl0dulMN5du5UGmmVUzaYMthBDivnQ/dT+LjIwkJCSETGlf\nxgAAIABJREFU4OBgHnvsMTp16qTtkuqEdD+7Rzt2QFQUePTPg3R0ItCUXC7hWItjmLYyvXOgOXUK\nJk6Ezp01G4Os67+bWFTUOyQmfotKZUD79vto0qR/vdfQkBWWFnI25Wz57EtQYhCx2bG0d2xPV5eu\nDGs9jLn95+Jt5y3LyIQQQohGxMPDg19++YWHHnrotp+1bduWxYsX07dvX7Zu3Urv3r0ZMGAA06ZN\nY9WqVVqr69badNl9F2pGjYIhQ8CwaTG9i6y0WouiKEQ8H0Hyz8noW+nT7UK3yi8+cgQefxy+/lrT\n5aweKYpCUVEC8fFfkpj4Na1aLcHR8Sn09U3qtY6GKDYrlgOxBzgcf5igpCDOp5+ntX1rurp0xd/N\nn5k9ZuLn4Iehfv0uHxRCCCFE7Vu1ahULFiwgPDwcS0tLOnTowOzZs+nduzcqlarSFRchISHlX8+c\nOROAsLAwWrRoUe0annzySfbu3UteXh729vZMmTKF2bNnV3r9neq6tTZddl+FmqQkzeqtX3+FdUVF\nWBto7+3nHM8heEgwpZmltPi4Be5vu1d+cUoKjBkDS5fC0KH1ViNAVtY/pKauJDl5CWZmbfDy+hIX\nl+frtYaGQlEULl6+yN+xf3Mg9gAHYg9QWFpIX/e++Lv581T7p+jg1AEzwzvMxgkhhBCiQVqwYAHz\n5s1jyZIlDBo0CCMjI3bs2MGWLVvoXYOzAzdu3HjHMFKZt956i59//hkTExPCw8Pp168fnTt3ZvDg\nwdUeqyG5b9a3lJRozqLU1wf7pgpLU1Kw0lKoyQvL41T3U6CG3hm97xxoSkpg7FiYOrXeA01KykrO\nnOlDaekVOnU6Trdu53Fzm1WvNegyRVEITQvl+6DveeKPJ3Bd4Er/Zf3ZF7MP/+b+7HxyJymvpbB+\nzHpm9JhBL7deEmiEEEKIRig7O5v333+fxYsXM3z4cExNTdHX12fo0KF89tln5dedPn2a9u3bY2Nj\nwxNPPEFRURGgWQK2d+/e8us2b97MK6+8QmJiYrVr8fPzw8Tk+moaAwMDmjZtesfXHD9+HD8/P2xt\nbZk8eXJ5Xf/Wtm/fvvKvv/zyywrfw7x582jWrBlWVla0adOm/DX15b6ZqVm4EGJiYNs22JCezqmr\nV/m+nlsgK4rCUfejFMUXYWBjQNfQrhjaVbHs6PXXwdIS3nuvfoq8prg4nQsXJuHgMBY/v7X1em9d\nVaYuIzg1uHwm5mDcQayMrejr3pfBLQfzyUOf0MKmhWzmF0IIIe4zR44cobCwkBEjRlR6jaIorF+/\nnp07d2JsbEzv3r1ZunQp06ZNu2kJ2IYNG/j000/59ttvCQgIqNFszYsvvsiyZcsoKiriu+++u2Oz\nAUVRWLVqFbt27cLMzIzHHnuMuXPn8tFHHwHc9rmmovcQEBDAokWLOHHiBE5OTsTFxVFaWlrtuu/F\nfRNqioth5kx45BEFr2NRDLW1pZtV/e6pKbhUQFF8Ed0vdcfU07TqF/z+u6Z1c1AQ6NXvpNrhw02x\ntOyCr++aer2vLikpK+FU8qnyEHMo/hBOFk70bd6X0b6j+Xrw17hZu2m7TCGEEEJoWWZmJvb29ujd\n4fOaSqXilVdewcnJCYDHHnuMM2fO3HbdyJEjGTly5D3Vs3jxYhYtWsSBAwcYPXo0nTp1olu3ivdu\nq1Qqpk+fjuu1Y05mz57Nyy+/XB5q7uY9DBgwgKKiIkJDQ7Gzs6N58+b3VH9N3DehBsDUFFamphJd\nWMgqH596vXdxRjHHvY+jZ6Z3d4Hm7Fl49VXYuxeaNKn7Aq9JT/+TyMgZmJh40KnT0ftq1qGotIig\npCAOxBzg77i/ORJ/BA8bD/q59+Pp9k/zy+O/4GjhqO0yhRBCCFGBwMDa+cwSEFD91tF2dnZkZGSg\nVqvvGGz+DQMApqamJCcn16jGu6FSqQgICGDMmDGsXr260lAD4OZ2/R9pmzdvTlJSUqXX3voekpKS\n8PLyYuHChcyZM4fQ0FAGDRrEggULcHZ2rp03cxfui1CTkgLvvKPJCOvS05nZrBk96rEdctY/WZzp\no0ninU90rvoFV67AyJGaTmft2tVxddfl50cQHf0OVlY9aNPmF1Qq7be7rmu5RblsDt/MurB17I3a\nSxv7NvRz78eLXV5k9ajV2JraartEIYQQQtyFmoSR2tKzZ0+MjY3ZuHEjo0aN0lodFSkpKcHOzu6O\n18TFxd30tYuLy12NfeM/fo8fP57x48eTm5vLtGnTePPNN1m+fHnNiq6BRh9q1Gr4NyS+/TY0Dc1k\n+wMP1Nv9FUUheHAwZr5mdA3pWvXMh1qtOYvm8cfrrXVzcXEaoaGjyc4+iLV1X3x916Cn13j/08gr\nzmNrxFbWhq5lb/Re+jTvwzi/cSwbvgwbExttlyeEEEKIBsba2poPP/yQl156CQMDAx5++GEMDQ3Z\ns2cPgYGBzJs3r8LX1fRA0WeeeQaVSsVvv/120/fT09PZu3cvjz32GCYmJuzZs4f169ezZ8+eSsdS\nFIVFixbx6KOPYmpqyscff8wTTzxxV3X8W39ERAQJCQn07t0bY2NjTExM6v2w1Mb7yfWaf1tr5+Up\nRJRdBaCLpWW93b8wqhB1npoOBzpUHWgURTOllJcHn39e57WVll4lMvIFMjI2YWPTn549kzE2dqr6\nhQ1Qfkk+2yO3sy50HTsv7aSXWy/G+o7ll8d/oYlp/S3vE0IIIUTjNGvWLJycnJg7dy4TJ07E0tKS\nLl26VLrRv6rzYe4kISGB8ePHVzjmDz/8wAsvvICiKLRq1YoVK1bQtWvXSsdSqVRMnDiRgQMHkpSU\nxPDhw3nnnXfuqo5/30NRURFvvfUW58+fx9DQkN69e/Pjjz/W6L3VlKq+UpRKpVLqO7EB9OunWX72\n1K5Y3omOpp25OSc7d8agjjfel2SWEP9VPHEfx2HkbESvpF53fkF+PkybBsHBsHMnONV9uPh37amb\n239xcXkJU1OPOr9nfSosLWTHxR2sC13H9sjtdHXtyljfsYz0GYmd2Z2nYYUQQgihO1QqVb3/y7+u\nKi4upmPHjgQHB6Ov33C3ClT2Z3rt+9VOe412pkZRYPhw+Ptv+GppMTOjo/mvmxvzvbzq/N7pf6YT\nOi4UysDxKUe8v/W+8wuiojR7aB54AI4cAbO6O8tEURQyMjaSlrYOAH//bAwM6rcLXF0qKi1id9Ru\n1oauZWvEVjo4dWCc3zgWDl5IU/M792gXQgghhNB1RkZGhIaGarsMndNoZ2pWrICnnoK/dpYy3Ogf\nAHL9/bGo4wM3o9+PJvbDWOxH2uP1pRemHlV0Otu+HZ59Ft59F156Ceq421hi4iIiI2fg5jYLd/d3\nGkWgKSkrYU/UHtaFrWPThU34NfVjnN84RvuOxsmicS6nE0IIIe4nMlPT+MhMzV346CPNWZWzZ0OM\nbwpchLReveo80ABcPXWVVj+0wmVaFV0j1GqYOxd+/BE2bIDeveu0LkVRExs7l5iY9/Hz+wMHB93q\nzFFdJWUl7Ivex/qw9fx14S9a2bVirN9Y5vafi6uVq7bLE0IIIYQQ9ahRhpr33oNXXtFkhlciCxjf\ntCkORkb1dn8jlyrulZUFkyZpHoOCrrdnqyNFRYnExc3j8uVddO0agrm5X53er64UlxWzN2ov68PW\nsyl8E9623ozxHcO7z7+Lu427tssTQgghhBBa0uhCTX6+5nHuXM3j3itXmFpPB/9c3n2ZzK2ZOD9/\nh/ulpWlmZYYMgS++AEPDOq3pwoUppKT8iplZG7y85je4QFNcVsyeqD2sD1vP5vDNtLZrzRjfMcwJ\nmENz6/o/rVYIIYQQQuieRhdqVq3SPJqbw6rUVMLy8/Gvp4M2gwcGY9bGjCYD7tAi+OWXNR0M5s+v\n83rS0v4gJeVXfH3X0rTp2Dq/X235d7P/+rD1bAnfgq+DL2N8x/BR/49oZtVM2+UJIYQQQggd0+hC\nTUYGjB4N/3clk4nnz/NJixZ0tar7zfBRb0cBaA7Y1K9kb9Nff8GZM7B0aZ3XU1ycQVjYGOzsHm0Q\ngaawtJBdl3axPmw9WyO28kDTBxjjO4ZPHvxE9sgIIYQQQog7alShRq3W5AbX0Rk8ei6EcQ4OvOVe\nt3styvLLOGh+EAD3d90rDzRXrmi6m61ZA6ZVdESrBWFhYzA0tMfHZ2Wd36um/j1H5o+wP9gWuY32\nju0Z7TuaeQPm4WJZRaMFIYQQQtxXanpQpbg/NKpQM38+HDsGPvNi8beyZrWvb53fM+b9GAD6FvdF\nz/AOB3q+9hqMGAF9+tRpPfn5EWRmbiEvL4Ru3SIxMKifpXd3q6SshG2R28oPxOzk3InRvqP5YuAX\n0n5ZCCGEEBWSds6iKo0q1Fy9Cv2XxrBfySXFr1edJ/qygjISFyXi8YHHnQPNrl2wbx+cO1en9Rw8\naEVZWS6mpi3x9V2HoaFNnd6vOjLzM/nx5I8sPrGYFjYtmPDABL4a9BWOFo7aLk0IIYQQQjRwjSbU\n7N8PczdnwdcxrPTxwbGOWziXXC7hkN0hAFxeuMNSqdhYeP55zXk0lpa1XkdMzAekpCxDrS4AVPj7\n52BgUPv3qamQtBC+Pvo1f5z/gxFtRrBl/BY6OHXQdllCCCGEEKIRaTShZtMmMJh9AU9TUyY61u2/\n/mcdyOJMwBkA+hb2Rc+4klmaoCBNp7M33oCBA2u1hrKyAiIiXiA1dRlubm9gbz8Mc/N2GBhY1Op9\nalSbuoxtkdv4+tjXnE8/z4tdXyR8ejhNzZtquzQhhBBCCNEINZpQs20buDxoxK9tvOr8XhdfvYhF\nJws6H+98505nzz0HP/8Mw4bV6v1LS69y8eLLpKaupEePWExMdOO8lpyiHH49/SvfHv8WO1M7ZnSf\nwRi/MRjp19/Bp0IIIYQQ4v7TKEJNZCRcvAjt73A8TG0oyy8j/PlwitOKabO0TcWBRlFg4UL48kvY\nsQM6d671Os6fH09m5lbatdulE4Hm4uWLfHvsW1YEr2Cg10BWjlhJj2Y9pEuJEEIIIYSoF40i1Jw5\nA02agJl53d4n6q0o0n5Pw3OeJ1bdKzj7prQUZsyAgwfh8GFoXvuBo7g4naysv/H1XYut7cO1Pn51\nBMYE8uWRLzmWcIypnaYS/EKwHI4phBBCCCHqXaMINQoKPpMzOZyTU6f3Uemp8PzMk+ZvVBBWcnPh\niSc0weaff6CWD/xUq0sJCvKloCASIyMnrKx61Or41ZGUm8TMnTM5kXSCt/zfYt3odZga1v3ZO0II\nIYQQQlTkDn2IG44lZhEcfjSEtubmtDWvm+kadbGahIUJqIwrWFJVVqY5g8bZGbZurfVAA5Cevp6C\ngkh69IilV69krSw7K1OX8d3x72j/Q3u8bb0JeSGEqZ2mSqARQgghhBBa1eBnaorVavYVZ+B7yJtz\nn7jW+vhlhWUkfJVA9NvRADg9U8EBke++q3lcsgT09Wu9htLSbM6fn4Cz8zSt7aE5lXyKaVunYWZo\nxt/P/I2Pg49W6hBCCCGEEOJWDTrUKIpC15MnoUkJiyfZ1f74ZQpH3Y9SklaC45OOtFzYEkMbw5sv\n2rQJVq6EkyfrJNAAnDnzIPb2o/Dyml8n499JTlEO7+57lzWha5g3YB5Pt39aGgAIIYQQQgid0qBD\nzfbLlwnOy4N3/HD5zaTWxz/qoQk0XYK7YPFABee/XLyoadu8ZQs4ONT6/UtLc7hw4RmuXj1F+/a7\n6vVQTUVR2HB+A6/ufJWBngMJfTEUezP7eru/EEIIIYQQd6tBh5rYwkJcUm1IOuSAm1vtjn1hygWK\nEorold4LI/sKzlnJz4dRo2DOHOjevXZvDqSmrubixVcoKcnggQe2Y2hY+zNRlYm+Es30/5tO9JVo\nfh/5O33d+9bbvYUQQgghhKiuBt8owDzTjJ9+ApNanKiJnBFJyq8ptPy6ZcWBRlFg2jRo1w5eeKH2\nbgzk50dw7Jg3589PoGnTifTpU4Cd3SO1eo/KlJSV8Nk/n9H1p674u/lz5j9nJNAIIYQQQgid16Bn\nan4ITyMy3gTbrrU3ZsGlAhK/ScRznifNXqnkzJXvv4ezZ+HoUajF/SWZmTs4d+4RzMx86dLlHBYW\nbWtt7DspLC3k9+DfmX94Pp5NPDn+3HE8m3jWy72FEEIIIYS4Vw061IQqOXSO8mbkp7UzXsbmDEKG\nhWDsblzxWTQAwcHw/vuawzXNzGrnxkBKynLCw6fQuvXPODk9g0pVN00HbpSZn8n3J75nUdAiOjh1\n4Lsh3/FQi4ekEYAQQgghhGhQGmyomfjeVdQPKjz/eO2sO4t+N5rYubFY97Gm/Z72FV9UXAxPPQWf\nfw7e3rVyX4ArVwK5cOFpvL0X4eQ0uc5DxcXLF/nqyFesDlnN8DbD2T1pN22b1s+skBBCCCGEELWt\nQYaa5cthVeRlmvQz4vmJ9/4WLky5QMqvKXh86IHHux6VX/jRR+DmBs88c8/3vFFubhDW1v64ur5Y\nq+Pe6nD8Yb44/AUH4w4yrfM0wl4Kw8mignN3hBBCCCGEaEAaXKj57TeYPBk6fgYPeTje83g5x3JI\n+TUFn999cJxwh/GOH4cff4QzZ2plH01MzAckJi6ipCQdgFatltzzmBUpU5ex8cJGvjzyJel56czs\nMZMVI1ZgbmReJ/cTQgghhBCivjW4ULNqFYwdC13GQ1rJvY+XsDAB8/bmdw40BQXw9NPw7bfg7HzP\n9ywpySImZg5OTs/i6fk5BgaW6OkZ3/O4N7pafJXfTv/GwmMLcbJw4vVerzOs9TD09ep+r44QQggh\nhBD1qUGFmtdegz17YPNm2FVUhHEtzJgURBXgPLmKoDJ7NrRvr0lT9yA29mMuX95JdvY/GBs3p02b\nX+9pvIok5ybz7fFv+enUT/Rz78fKESvp6daz1u8jhBBCCCGErmgwoSYwEBYsgMWLYcCQMh4/mMhX\nXl73NKaiVsg9nkvLBS0rv+jQIVizBs6du6d7paQsIzr6HZo1m4mr6yvY2g66p/FuVFxWzO5Lu1kd\nsprtkduZ+MBEjk45ipftvf3+CCGEEEII0RA0mFATHw99+mjOugw4HUxTQ0NedXO7pzHjPo8DwKqn\nVeUXffghfPwx2NnV+D4lJZlERc3GyWkKLVsuqPE4N41ZVsK+6H2sC13HX+F/4WPvwzi/cXzzyDfY\nmtrWyj2EEEIIIYRoCBpMqElPh2bNQFEUDmRns6tdu3saryiliOi3onF5yQWVXiXL2EJCNOfSbN58\nT/cKCRlFaellWrT46J7GKVOXcSD2AGtD1rLhwgY8m3gyzm8ccwLm4GZ9bwFPCCGEEEKIhqrKUKNS\nqQYDCwF94GdFUeZVcE0A8BVgCGQoihJQm0Wmp2v20zz9NOzLygKgt7X1PY2Z8FUC+lb6tPquVeUX\nLVwIL70ExjXfxF9QEEN29gG6d4/C2Lj6TQbUippDcYdYG7qWP8L+wMXShXF+4zg+9TgtmrSocV1C\nCCGEEEI0FncMNSrNsfbfAQOARCBIpVJtVhTl/A3X2ACLgEGKoiSoVCr72i5yzBjN408/gcmhs/hb\nW2Omf29dvPLD83GZ5lL5Bamp8OefEBlZ43sUFsYTGfkSNjYBmJrefQBRFIWjCUdZG7qW9WHrsTO1\nY6zfWA4+exBvu9o79FMIIYQQQojGoKqZmm7ARUVRYgBUKtUaYBhw/oZrJgB/KoqSAKAoSkZtFpiS\nAgcOwO+/w+mCHNTAel/fexqzML6QzE2ZOP1xh4Mnv/9e0+3MvmYZ7erVYC5ceAY9PWN8fdff9evC\n0sOYvGkyWYVZPNH2CXZP2o2vw729XyGEEEIIIRqzqkKNKxB/w/MEoPst13gDhiqVaj9gCXytKMqK\n2irwtdfAxkYzW7Mlq4geVlY43cNyMIDzk86jb6GPwyiHii8oLNSEmsDAGo2fmbmdc+eG4uLyIh4e\nH2BkVHUwKikrYf7h+Xx19Cs+6v8Rz3d+Hj2VXo3uL4QQQgghxP2kqlCj3MUYhkAn4CHADDiiUqmO\nKopy27qtOXPmlH8dEBBAQEBAlYOvWgU//ACGhrA/Kwure1x2VpxeTPaBbNpualv5Rb//Dl26gI9P\ntcfPzT3DuXNDadbsVVq2/OquXnM25SzPbnoWB3MHTj5/kubWzat9XyGEEEIIIRqawMBAAms4kXAj\nlaJUnltUKlUPYI6iKIOvPX8LUN/YLEClUr0JmCqKMufa85+BHYqi/HHLWMqd7lWR7GzNLE1BAZiY\ngF5gIB96ePCOh0e1xrlRwaUCzgScoWd8JQdSqtXwwAPw9dcwYEC1xw8KegBFKaNr11BUVRwOWlxW\nzCcHP2Fx0GLmDZjHMx2eqfI1QgghhBBCNFYqlQpFUar9gbiq9U0nAG+VSuWhUqmMgHHArf2NNwH+\nKpVKX6VSmaFZnhZW3UIqsnkzqFSa5mOZJSUowFTn6ncQ+5e6VM2xlsfQt7jDbM8PP4CVFTz0ULXG\nzs09xdmzg8nLC6FDh8Aqw8nJpJN0+bELJ5NPcnraaZ7t+KwEGiGEEEIIIWrgjsvPFEUpValU04Gd\naFo6/6IoynmVSjXt2s+XKIpyQaVS7QCCATXwk6Io9xxqFAWeekozWaJSwQ9JSQD3tJ8m/0I+AJ1P\nda74guhoeO89+OcfzU2rITb2Y65ePU2PHrEYGTWt9LrC0kI+CPyAX8/8yoKBC5jwwAQJM0IIIYQQ\nQtyDKs+pURTl/4D/u+V7S255/gXwRW0WtuJaq4HNm6FMUXgnOpqXXV3vaczYD2MxsDNA37SCmRq1\nGqZMgTffhDZtqj12UVECvr6rMTGpfD/MkfgjTN48GV8HX87+5yxOFnfoviaEEEIIIYS4K1WGGm15\n9VUYNw5MTSEyvwCAeZ6e9zRm+vp0vBdVcs7LkiWQnw+zZtVwdBV6emYV/qS4rJj397/P0rNL+Wbw\nN4zxG1PDewghhBBCCCFupZOh5upVuHIF5s/XPE8qLsbe0BDTe+h8Fvd5HADOUyrYk/PvsrODB6EG\n9ygsTCA391iFy8jCM8KZuGEiThZOnP3PWZqaV740TQghhBBCCFF9OnkQytq1mkc3N1ArCgFnzuB+\nD3tpso9kE/VmFK4zXNEzvuUt/7vs7I03arTsDCA0dBQAFhadyr+nKApLTiyh96+9mdJxClvGb5FA\nI4QQQgghRB3QyZmaTz6BYcM0Xy9KTARgf4cONR4vYWEChg6GeH3hdfsPt22DrKwaLztLT/+T3Nzj\ndOp0HD09Q8338tKZumUq8dnxHHz2ID4O1T/vRgghhBBCCHF3dG6mJiEBoqLg0081z9+NjuZZJycs\nDWqWv3KO55C+Lp3WP7VGz6CCt7tyJfznPzVadpafH0Fo6Gi8vL7CyqorADsu7qDDkg60sWvD0alH\nJdAIIYQQQghRx3RupiYwEFxdwedaFsguK+Mdd/cajaUuVnOq+ymselhhP8z+9gtycmDHDvj++xqN\nf+7cUAwNHXB1nU5BSQFv7nmTvy78xcoRK+nfon+NxhRCCCGEEEJUj86FmjVroGNHzdfbMzMBcK3h\nfpqMjRkAdDhYydK1DRugf3+wta3WuEVFiRw50gyAzp1PEJp+nvF/jsfXwZcz/zmDrWn1xhNCCCGE\nEELUnE4tPysu1mxxGTdO8/zrhAQetbPDWK9mZYY9EUaTgU0qXnYGmqVnTz5Z7XEjIl5AT8+Mfv3K\n2BEXxYPLH+S/vf7L2tFrJdAIIYQQQghRz3Rqpua33zSPw4drHrNLS3m1WbMajaWUKQC0Wtyq4guS\nkuDUKXj00WqPXVyciqfX57y7/z1WBK9g55M76eTcqeoXCiGEEEIIIWqdToWasDCYPBksLDTPTfT0\ncDIyqtFY2UeyATByruT1q1dr0pOJSbXGzcjYQm7ucRZcsiA+r4Sg54KkVbMQQgghhBBapFPLzxIT\nwdHx+vMrpaU1H+vbRCw6WKBvVklXs1WrYOLEao1ZUBBD6Pmn2JfZBGvz1ux5ao8EGiGEEEIIIbRM\np0LNn39C+/aar9WKQnBeHi41bBKQvj6dZq9VsnQtPh5iY6Ffv7seLzl5KceOteBQegFu7p+yeOhi\njPRrNoskhBBCCCGEqD06s/zs2hmbDByoeVSufb+VmVm1x4qYHgEK2A6qZNP+li0wZAjc5dk3CQnf\ncPHiDCKvGtK301b8PQZUuyYhhBBCCCFE3dCZULN9O5ibQ5MmmuebMjIwr0HXs8LYQpIWJdH6l9YY\nOVQyk7Jli2bzzl06Eb2c05m2TB1wBjdrt2rXJIQQQgghhKg7OrP87NQpGDXq+vMjOTkE2NhUe5zi\ntGJMvExwnuxc8QW5uXDoEAwadFfjHU04SnBqCKM6vCWBRgghhBBCCB2kM6EmOho8Pa8/1wf8ra1r\nNJZhE8PKf7h7N/ToAVZWVY6Tkn2JIyf749/UBEcLlxrVIoQQQgghhKhbOhNqjIygY8frz3deuUKR\nolT+gpravBkef7zKy8rUZczdPYK2Vgqd2m3C3n5E7dcihBBCCCGEuGc6E2pycq5/rVYUzly9yoM1\nWH6WtjaN0pxKWkGXlcG2bfDYY1WOMydwDs2NLmPfpBc2Nv3Q1zetdi1CCCGEEEKIuqcToWbnTjhw\nAJyvbYMJy8sDoJOlZbXHyj2WS5MBTSr+4dGj4OIC7u53HGNbxDbORS+mm1UiDvbDq12DEEIIIYQQ\nov7oRKg5cUJzZEzXrprnf6Sn09LUFHP9Sg7OvIPsf7JxfNKx4h9u3Fjl0rNLGSGEho7k1VYGuLm9\nTrNmr1S7BiGEEEIIIUT90YmWzioV9Op1/fmlwkIeblLJbMtdsOpWQRMARYE//tC0c65EYWkhS/YP\nYohDMZ7ur+Pk9HSNaxBCCCGEEELUD50INTfKKilhZWoqa319q/U6dbGaC89c0DxRVXBBUBCYmEDb\ntpWO8cbOVxhmn0znzqewtOxY6XVCCCGEEEII3aETy89udPrqVQDGNm1ardelrkglbXWVnZmZAAAg\nAElEQVQabVa0QaVXQapZtw7GjNFMC1VgTcgaTibswMjASgKNEEIIIYQQDYjWQ42iwCefXM8aK1NT\n6WRhUe1xkn5Iwn64Pf/f3p1H2VnV+Rp/ds1DUqlUKvMcMkDCzUQTGRRja2OQFidwaJyHRkUal30d\n6F7d4u3brsu1HdqmpdEGtWm5OKA2NjIoGoEwSSSECAkZGDJPVZWq1HjqnH3/OEWRhErqVFJ5T53K\n81nLlXrfvc+7f2etd1X55d3v3hPeO6HvQX7yE3jnO/v87IZ9G7jqrqv42vIrDDSSJElSgcl7qLnp\nJmhthU9+Mnt8865dvH9CH8GkH6mGFJOuPMoGmceYetaWauOyH1/GP/7pP1JfcoCysokDHluSJElS\n/uQ11GQy8LGPwVveApMnw56uLgDeM8CpZ/t/uZ+OLR2U1pf23eEYU8+u+uVVLBy/kA+c+Ra2bv0K\n5eXTBvw9JEmSJOVPXhcKaGzM/vv972f/fbS5mRHFxYwrK8v5GjFGnr/2earmV1F9RnXfg9xyC6xc\n+Yqm7635Hg9te4jHPvoIjz8+l/LyKcya9eXj+CaSJEmS8iWvoeahh6C6GkaNyh7v6urinJo+lmM+\nhoa7Gmj5fQtLHl5CUXkfD56+9KXso6Azzjjs9Lo96/jsrz7Lyg+sJKReIJXaw7JlGwkh7zPyJEmS\nJA1A3pd0ft3rsv/GGPnK1q28+qWEk6OuPV2MfuNoRp3Tx+eefhp+8IPsv4do7WrlnT9+J1+98Kss\nGLeAlpY1VFcvoqpq9vF+DUmSJEl5MmQeS/y6sZGN7e1cNnbsgD9bNqGP6Woxwqc/DX/7t3DENf/q\nrr/i7Mln8/5F7z/eciVJkiQNEXl/UvOSXzU2cl5NDReNGTOgz+38952UTyl/ZcMdd8C2bXDllYed\nvvWpW3lw64Os/svVvecOHLj/uGqWJEmSlH95fVKzfj30LHjGH1paeM0Ap561b2mneVUz4/9i/OEN\nHR3wmc/AN74BpS+viLapYRNX3301P7z0h4woy+6F09i4kk2brmb8+MtP6LtIkiRJyo+8hZoY4brr\n4KUtafamUpw3wFDz/P96ntKxpdRfUn94w9e/nt2T5sILe091pbt490/ezRdf+0UWT1gMwIsv/l+e\nfPJ11Na+jmnTPntC30eSJElSfuRt+tm+fbB/P3z+89njta2tTK+oGNA1mn7TxJRPTzn85MGD8JWv\nZDfcPMQ1v76GKTVTuPLsK4kxw/bt17Nly+eZN+8mJkz44Al8E0mSJEn5lNd3aurrYf58yMQIwOzK\nygF9vnNrJ2PfccTCAj/7GZx7Lpx2Wu+pVS+u4sdP/5g1H19DjCnWrXs7DQ13Mm/eTUyc+OET/h6S\nJEmS8mdILBTwh5YWAMpDyPkzHds6ACibfMTKZ7fcAh8+PKh887Fv8rnzP0ddZR0NDffQ0HAnS5as\nYtSo806scEmSJEl5l7d3arZty05BA1h98CALqqooKcq9nG3f2EZRRRElIw7JZTt2wOOPZzfb7LGz\nZSf3br6X9y18H5lMF2vXXkRd3UUGGkmSJGmYyFuo2bABzjgj+/P+VIoF1dUD+vz+X+x/5fs0t94K\nb3sbHDKN7aYnbuKy+ZcxqmIUO3b8GxA588yfn2D1kiRJkoaKvC7pvHDhyz+fNsD3adqfbWfc5eMO\nP3nLLfC+9/UepjNpvr3623ziTz7Bjh3/zqZNVzNlymcoKupjs05JkiRJBSlvoeZ3v4O2tuzP/7Vv\nH+2ZzIA+H0oDVXOrXj6xdi00NcEFF/SeunPjnUwaOYklE5eQSu1m6tTPM3v2VwejfEmSJElDRN5C\nTSoF55yT/fmxlhbeVl9/7A8com1DGzEVD6/+5pvh8svhkPdyvvX7b/HJsz/ZexxC8YmWLUmSJGmI\nyVuoKSrKLun8ktcMYOPNrj1djFgygqKSnvL37ctOPbvyyt4+mxs2s3rnat654J0A7N9/J5WVswal\ndkmSJElDR17fqTlUyHE559ZnWllzwRqIh5z853+GSy+FyZN7T924+kY+sOgDVJRUsGvXLTQ3P8yE\nCe5JI0mSJA03ed+nZnN7+4D6r3//eooqi1jy0JLsiQMH4IYb4NFHe/t0dHfwvTXfY9WHV5HJdLF+\n/fupq7s45+AkSZIkqXDk7UnN738PMcILHR2cXlXV/weATCpDy+MtLPjJAoore96P+da3YMUKOO20\n3n4/+uOPWDJxCXPGzKGh4R4A5s+/ddC/gyRJkqT8y8uTmgMHYM0aWLwY7jlwgKocN91sWtkEwOgL\nR2dPtLVlp57dd19vnxgj//LYv/DF134RgB07bmD06DdQUlIzuF9CkiRJ0pCQlyc1jY1QXQ3LlsHz\nHR1cUFub0+fSLWnqLq57eYGA73wHzjsPFizo7fPo9kfZ37afi2ZfxMaNV9HQcBeTJl15lCtKkiRJ\nKnR5m35WXw/dMcN3d+1i3gA23iwq6ym5uxu+9jW45prD2q9/7HquPPtKmg88wPbt32Lx4t8xduxb\nB7N0SZIkSUNIXlc/S8XsEmZXTJqUU/+dN+8k09mzSedPfwrTpsHZZ/e27zq4izs33smHl3yYpqb7\nGDfundTWXnCUq0mSJEkaDvIaaroy2YCSy6pkqcYUDXc2MPaysdkTX/86fOYzh/X59upvc9n8y+hq\n/iUvvPC/qaycO+g1S5IkSRpa8hpqrt++Pee+mfYMZRPLmPjBifDww7BnD1xySW97Kp3ixtU3ctWy\nqzhw4CEmT/4rZs780skoW5IkSdIQktdQszeV4oqJE3Pqmz6YJtWQyh587Wvw6U9DcXFv+0+f+Slz\n6uawYOw8du78NpMm/eXJKFmSJEnSEJPXUBMg5z1q1r19HaV1pfDcc/Cb38CHPnRY+7+t/jc+texT\nHDy4loqK06iuXnCUK0mSJEkaTvIaap5qbc25b+eLnZz5X2fCN78JH/kIjBjR29bU0cTqHav587l/\nTlfXLkpKRp6MciVJkiQNQXnZfPMlWzo6mFZR0W+/zl2dpFvSVEwthf/8T3jsscPaf/Pcbzh/2vlU\nlFSwu3UdI0YsPlklS5IkSRpi8vqkZmRxMbNz2KNm13d3QTGUbVoNkyfDzJmHtd+z6R4unHUhAN3d\n+ykpGXNS6pUkSZI09OQ11OSq+eFmJn5kItxxx2ErngHEGLln8z28cfYbiTHDrl23+D6NJEmSdArJ\nS6j5+c8h19Wcu/Z2sf8X+xn9p6P7DDUbGzbSnenmjPozaG5+FIjU1a0Y/KIlSZIkDUl5CTWrVsFl\nl+XW94nXPAFA3dwGaGmBpUsPa79n0z288bQ3EkKgpeX3VFWdTlnZ2MEuWZIkSdIQlZdQU1YGf3Zx\nmqdaWykO4Zh92ze0s+i+RZT85k5485uh6PCS791yL2+c/UYAtm37Z0aNOu+k1S1JkiRp6MnbOzVP\nVTQCcEY/+9SE8kDNeTVw772w4vBpZTtadrDqxVW8YdYbyGS66OjYwpQpf33SapYkSZI09OQt1HSF\nNJeOHUvRMZ7UZLozxM4I3Wl45BF49asPa7/uwev40OIPUVdZR4wZQiinrKz+ZJcuSZIkaQjJ6z41\nxf20tzzeAkDR+nXZpZzrXw4sO1p2cMvaW3j6yqezxzv+lRg7T1apkiRJkoaovIWap8ubqEqnj9ln\n93/spnJeJeGhB4/6lGbCiAlkMl1s3vw/mT79709myZIkSZKGoLyFmgyR19bWHrW9bWMbO27YwfS/\nmw4PPphdJKDHkU9p0unsE50ZMww1kiRJ0qkmb+/UFBEYVXL0TLX9+u0Ujypm2jXT4IEHDntSc+hT\nGoD29k2UlNQRQn8T2iRJkiQNN3l9p+ZY9v18H9P/djrFO1/ILuM8YwYAHd0d3LL2FtZ+Ym1v3wMH\nVlFTc06eKpUkSZKUT3nbfDPGo7c3PdhEpjND7Wtr4Y9/hEWLoGeVtDufvZPFExYzpWYKQM/7NH9N\nScnoJEqXJEmSNMTkJdRs2wZhTNdR2/f+aC+jzh9F9YJq2LAB5s7tbbt13a1c/j8uB6C7u4UHHqgB\n4PTTbz65RUuSJEkakvISaurr4bFUE2NKS1/RFjORXd/fRe0FtRRXF8Ozz/aGmqaOJn695de8Y/47\nAOjs3E6MnZx//n6KisoS/Q6SJEmShoZ+Q00IYUUIYX0IYWMI4fPH6Hd2CKE7hPD2XAauLy5l8YgR\nrzjftaeLdHOaujfVZU88+yzMmwfA7U/fzutnvp7aipdXTausnEdpaV0uQ0qSJEkaho4ZakJ2ObHr\ngRXAfOA9IYQzjtLvOuBuIJxoUaXjS6maU5U9OORJzQ+e+kHv1DOAjo7nSaebT3Q4SZIkSQWsvyc1\ny4BNMcbnY4wp4DbgLX30uwr4CbC3vwE7O2H37hyra26GAwdg8mS2N29nza41XDz3YgDS6Taeeuoi\n6urelOPFJEmSJA1H/YWaycDWQ4639ZzrFUKYTDbo3NBz6hjrmsHmzdl/i4+ypcy2b2wjtTuVPdi4\nEebMgaIiblt3G287/W1UlFQQY+Sxx04HYO7cb/XzFSRJkiQNZ/3tU3PMgNLjG8AXYowxhBA4xvSz\na6+9lr17Ycy4DFseqSMsWvSKPo33NjLtC9OyB4dMPbv9mdu5dvm1ADQ3P0pn51aWLn3UBQIkSZKk\nArVy5UpWrlx5wtfpL9RsB6YecjyV7NOaQ50F3JbNM9QDF4UQUjHGO4682LXXXsvTT8M9T7azf/Gj\nzKioeMWA7ZvaqfvGIYsEzJ3L7oO7eWbfMyyfsRyAGDsZOfJV1NQsy+U7SpIkSRqCli9fzvLly3uP\nv/SlLx3XdfqbfvY4MCeEMCOEUAa8CzgsrMQYZ8UYZ8YYZ5J9r+YTfQWaI00vL6coHP5Qp2tvF+mW\nN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"text": [
"<matplotlib.figure.Figure at 0x113579290>"
]
}
],
"prompt_number": 13
}
],
"metadata": {}
}
]
}
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