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@Lipen
Last active November 3, 2016 15:04
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Hypothesis check: p-value and power
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{
"cells": [
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"from skgof import ks_test, cvm_test, ad_test\n",
"from scipy.stats import norm\n",
"import matplotlib.pyplot as plt\n",
"\n",
"alpha = 0.05\n",
"ns = [10, 40, 70, 200]\n",
"bns = [5 * i for i in range(1, 61)]\n",
"\n",
"# KS - Kolmogorov-Smirnov\n",
"# CvM - Cramen-von Mises\n",
"# AD - Anderson-Darling\n",
"\n",
"\n",
"def cdf(data):\n",
" m = len(data)\n",
" xs = np.sort(data)\n",
" ys = np.arange(1, m + 1) / m\n",
" return xs, ys\n",
"\n",
"\n",
"def demo(n, *, m=100, a=0, cb_test, cb_alter, name_test, name_alter):\n",
" p_values_good = np.empty(m)\n",
" p_values_bad = np.empty(m)\n",
"\n",
" # print('[*] Generating samples...')\n",
" for i in range(m):\n",
" sample_good = np.random.normal(0, 1, n)\n",
" sample_bad = cb_alter(n, a)\n",
"\n",
" stat_good, pvalue_good = cb_test(sample_good, norm(0, 1))\n",
" stat_bad, pvalue_bad = cb_test(sample_bad, norm(0, 1))\n",
"\n",
" p_values_good[i] = pvalue_good\n",
" p_values_bad[i] = pvalue_bad\n",
"\n",
" # print('[*] Calculating CDFs...')\n",
" x_good, y_good = cdf(p_values_good)\n",
" x_bad, y_bad = cdf(p_values_bad)\n",
"\n",
" # print('[*] Calculating power (beta)...')\n",
" alpha2 = sum(p_values_bad > alpha) / m\n",
" beta = 1 - alpha2\n",
"\n",
" plt.plot(x_good, y_good, label=r'$+\\;n={},\\;a={}$'.format(n, a))\n",
" plt.plot(x_bad, y_bad, label=r'$-\\;n={},\\;a={}$'.format(n, a))\n",
"\n",
" plt.xlabel('p-values')\n",
" plt.ylabel('p-value CDF')\n",
" plt.legend(bbox_to_anchor=(1.02, 1), loc=2)\n",
" plt.grid(True)\n",
" plt.xlim(xmin=0)\n",
" plt.ylim(ymin=0)\n",
" plt.title('p-value CDFs from {}-test for {} alternative'.format(name_test, name_alter))\n",
"\n",
" print('[+] Demo {} for {} (n={}, a={}, m={}, beta={}): OK'.format(name_test, name_alter, n, a, m, round(beta, 5)))\n",
"\n",
"\n",
"def get_power(n, *, m=100, a=0, cb_test, cb_alter):\n",
" p_values_bad = np.empty(m)\n",
"\n",
" # print('[*] Generating samples...')\n",
" for i in range(m):\n",
" sample_bad = cb_alter(n, a)\n",
" stat_bad, pvalue_bad = cb_test(sample_bad, norm(0, 1))\n",
" p_values_bad[i] = pvalue_bad\n",
"\n",
" # print('[*] Calculating beta (n={}, a={}, m={})...'.format(n, a, m))\n",
" alpha2 = sum(p_values_bad > alpha) / m\n",
" beta = 1 - alpha2\n",
"\n",
" return beta\n",
"\n",
"\n",
"def betademo(*, m=100, a=0, cb_test, cb_alter, name_test, name_alter):\n",
" # print('[*] Calculating beta distribution...')\n",
" xs = np.array(bns)\n",
" ys = np.vectorize(get_power)(xs, m=m, a=a, cb_test=cb_test, cb_alter=cb_alter)\n",
"\n",
" plt.plot(xs, ys, label=r'$\\beta$'' from {} for {}'.format(name_test, name_alter))\n",
"\n",
" plt.xlabel(r'$n$')\n",
" plt.ylabel(r'$\\beta$')\n",
" plt.legend(loc=4)\n",
" plt.grid(True)\n",
" plt.xlim(xmin=0)\n",
" plt.ylim(0, 1)\n",
" plt.title('beta distribution from {}-test for {} alternative'.format(name_test, name_alter))\n",
" \n",
" print('[+] Betademo {} for {} (a={}): OK'.format(name_test, name_alter, a))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"***\n",
"\n",
"#### Задание 1\n",
"\n",
"* Нулевая гипотеза - стандартное нормальное распределение, альтернатива — $N(a,1)$\n",
"* Построить эмпирическую функцию распределения _p-value_ для критерия Колмогорова-Смирнова."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[+] Demo KS for Normal(a,1) (n=10, a=0.3, m=1000, beta=0.138): OK\n",
"[+] Demo KS for Normal(a,1) (n=40, a=0.3, m=1000, beta=0.379): OK\n",
"[+] Demo KS for Normal(a,1) (n=70, a=0.3, m=1000, beta=0.578): OK\n",
"[+] Demo KS for Normal(a,1) (n=200, a=0.3, m=1000, beta=0.957): OK\n"
]
},
{
"data": {
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eDM7IYERODgfn5dE3EKBPIEC+x2OVDzVKCLcbX0t8uWkmiqpKOOrkm/n240fI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\nvh7OE53p9HMnbqXcYnOvzZwdfNbiihIgbQ3g2rVrdO7cmZdee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4BZmqatA34CNiulDOaN\nZbkSEg7j7NzQot50JRkMDDp3jkdLl6ZnhQp6xxFAhw4d9I5QoJRSfH/0e3aE7+DPqD8JjQ6lrV9b\nFr6wEE+nBw9sKMyrMNqaUop58+axY8cOzp49y9mzZ0lISADAFhs6OtRkegp4flSCUmOexLaUbY6O\nazTCBx+YihLffw99+khRwpIV9/uasBzS1oQQwvrkpTDhBXQEegC/AMmapi0HFiul9psznKVJS/uL\npKSTeHm9oXeUbCZevsyl1FSONmpkUQUTUXz9duE33t74NgFeAbTxbcOIZiPoXb83JWzycksRligz\nM5PDhw9z6NAhVq5cyb59+2jcuDG1HNxomdoCN5pTAwMdqmzCteUjpgEh+veDEjkrSly/Dl26wMGD\nMHkyDBxYwBckhBBCCCEsVq7fRSilMjENeLlB0zRH4AXgFWCHpmnXlFKPmDmjxYiI+AZbW2c8PCxn\njM80o5H/u36dXhUqULt06YfvIEQ+bTy/kR4re1C/Qn0Ovn6QkrbSdag4+uCDD5g2bRqlSpWiRYsW\nrFu7lvZn4zn6QRls7MBvuAOeHzdCc/80T8f/7jsICYFdu6BVKzOHF0IIIYQQRUquB7/8N6VUMrAZ\n+A04D/iaIZNFMhrTiYpagZNTACVL5mwwt8Kw6MYNbmZkMNzHR+8o4l/WrFmjd4QCsffKXp79+Vka\nejZk12u7pChhAQqirV26dInZs2fTpUsXEpYuZdafrSn3fAoHP6gEJWxofLkdXlPaobnn7V549SrM\nmgVt2khRoigprvc1YXmkrQkhhPXJU2FC0zRHTdN6apq2EYgA3gVWA3XMGc6SxMfvIyXlAn5+Y/WO\nks2iyEhaurpSU56WsChLlizRO4LZnbp5ik+2f0IV1yrs6LMD11KuekcSmLetGQwGLl68SI8ePXAs\nVYr/i0zn/PNHuXa9JQ5VS1FrRAqPnXwMO0+HPJ9DKZg+HaKj4ZtvzBZdFILieF8TlknamhBCWJ+8\nzMqxFOgMJGMaY2KcUuqAuYNZmtu3T6Bpdjg7N9I7SpZMo5EjiYmM8/PTO4r4j2XLlukdwawm7J7A\nJzs+wcfFh5nPzJSxTCyIOdpaZmYm3bp1Y8OGDaSnpwPwJeUJ3dcHVdqFmjNrUKGPp1n+3TduhClT\n4L33oEqVfB9OFKLidl8TlkvamhBCWJ+8jFRnALpiRbNxKKW4eXMpZcq0wsbGXu84WfbEx5NiNNLY\n2VnvKKIY23RhE1MPTqVXvV78GPijdN8ohj755BPWrl3LF40aUed4GF6lGpJaciS2LvY0ONAYe0/z\n3PfWrIEePUzTggYFmeWQQgghhBCiGMjL4Jc9//67pmk+wF9KKaNZU1mYtLSrJCYepkaNeXpHyXIl\nNZV+Z89SzcGBFi4uescRxcTNpJvsubyHA9cOEHIzhNM3TxORGEEbvzZMajtJihLF0KpVq5g8eTLj\nfRvTLrgvCZk1ScgAp0ZO1PyxptmKEsHB0LOnqSjx668yLagQQgghhPhHfuf2+xNoAFwyQxaLlZmZ\nAICjY3Wdk/yj/9mzZCrFstq1KWGTrzFMhQAg+Howzec2J82QRhXXKtT3rE+f+n1oUbkFz1R7Rrpv\nFEMhISF07dqVp8oG0CL8CwwVM6k9rTZlniyDXQU7s5wjMRHWroVRo8DXFxYuBEdHsxxaCCGEEEIU\nE/l9R2sV71QSEg4Atjg46D8TaorBwEeXLrE1NpbPfH1pIk9LWKS+ffvqHSFHbiXf4vdLvxO0L4he\nq3rh4+LD5XcvE/5uOGu7r2VC2wl08u8kRQkLlte2ppTizQFvUkG5Myr2U/xaXqDR2afw6OphtqJE\naCg89hi8+qppPIlff4VKlcxyaKGDonJfE0WftDUhhLA++X1iwircvn0CR8ea2NlV0DsKA8+dY9nN\nm3zu60vvCvrnEffWoUMHvSM80MzDM/lq/1dcjr8MgJOdEwFeAUzvOJ3KrpV1TidyIy9tTRkUbz7d\njQMHDzCOT2jULYQyS0eZLVNcHCxfbhrg0sMDTpyA+vXNdnihE0u/r4niQ9qaEEJYn/wWJr4AYswR\nxJIlJZ2mdGn9Z0INT0lhYWQk3/v7M9DbW+844gF69Oihd4T7OhxxmGGbh9HUuymT2k0iwCuAam7V\nsNGkS1BRlJu2ppQifHw4i4MWs+D2WrrbPMPgaU9RZmibfOdQCk6dgi++gBUrwGCA//0PfvwRypbN\n9+GFBbDk+5ooXqStCSGE9clvYWKSWVJYMKMxk6SkEMqWfUrvKCyLisJe0+gpT0qIPAqLDaP36t5U\nd6/Ojj47ZDBLK6KU4tS4U3T5tAsXuEArSjNt7WDKdM5/UeLKFWjVCi5fNhUhpkyBLl3Ax8cMwYUQ\nQgghRLGXp49INU17XdO0U0AqkKpp2ilN0/qbN5pliInZRGZmDO7ugbrmCLpyhQ8vXaKrhwfOJaQH\njsidmJQY+q3th/83/iSmJ7Km2xopSlgJY5qRvYP3MsJrBE0+bcJFLvITsOutPnh27pT/4xth7FjT\nIJdbt0JEBAwdKkUJIYQQQgiRc7kuTGiaNhaYDqwHXr7zWg9Mu7OuWElNvYSNTSmcnRvqliHFYOCT\nsDAGVazIvJo1dcshcm7v3r16R8iy+sxqGsxqwJrQNXzZ/kvODT6Hv7u/3rGEmfy3raVeTiVqVRRh\nY8I42fkk7zi+wxPfPsG0yGk0dXYnAkXPoUNhxow8nzM1FY4dg8WL4amnYO5c+OQTaNcOHBzye0XC\nUlnSfU0Ub9LWhBDC+uTlo/dBwBtKqSX/WrZO07STwDfAGLMksxBxcTtwdNSvGKCU4vu//iJDKQZ4\neWErsyMUCUFBQbRs2VLXDOmGdPqu7cvPIT/Tyb8T0ztOp5pbNV0zCfMLCgri8fqPkxSSxKUPLxG/\nJ55rXGOD4wb2qr1EGCN4tlE75iVcpvz167BoEfTsCXm8l1y+DK1bQ3i46euKFWHWLHjzTbNdkrBQ\nlnBfE9ZB2poQQlifvBQmSgJH77H8WB6PZ7EyMmKJjl6Hv/83umX46upVPrh0iYEVK1LfyUm3HCJ3\nli5dquv50w3pDFg/gJ9DfiaoXRDDmw3H1sZW10zCPIwZRq5MvELs1ljSrqcx+Ppg9rqYPl10rOOI\ny0wXBrw3gNKOpen63HP8r3Rp2i9diubsDHv2QIMGeTpvYiK89ZbpKQknJ9i1y3QombHYeuh9XxPW\nQ9qaEEJYn7wUEhZhempi+H+WDwAW5zuRBUlO/hMw4uqqT9V+dVQUH1y6xOuennxfvbouGUTeODo6\n6nbuxLRE+q3rx4o/V/Bj4I/0bSjzwRcXmYmZnBtwjptLb1K+W3lcmrng7emNnZcdN21vsv3adpb+\ntJS09DTCX3sbj8WLITLS1N9izhzw9c31OePj4fvv4bvvTNOAjh0L3btDNXn4xuroeV8T1kXamhBC\nWJ+8PuHwuqZpHYCDd75uClQGFmqaNvXvjZRS/y1e3JemaW8D7wGewB/AEKXUkRzs1wLYCYQopQJy\nfAU5kJ4eCYC9feFPzamUok9oKI+7uDDdX8YDEDmjlGLAhgGsOrOKiW0nSlGiiFNKkXI+hYQDCcTv\njyfmtxgyojOoOqkqlUdWJikpiXPnzrFx40bGjRuHUopGdeow28YGjx9+MBUkJk6EWrXyeH5Tr4/t\n2+HFF+Hzz6FqVTNfpBBCCCGEsHp5KUzUBYLv/P2RO39G33nV/dd2KqcH1DStGzAF01MXh4FhwGZN\n06orpaIfsJ8rsAD4HTD7HJrp6TcAsLV1NvehHyrJYCDRYGCotzelbeURfPFwJ26cYOTvI9lycQsL\nn1/Iq/Vf1TuSyIeEwwmc7nqatMtpoIFjbUfcOrpRql8ppi+fzoYaGzh37lzW9oMGDSIoKAinadPg\n+HG4dAnc3fN07sxM2LjR9JTE5s2wZg3873/mujIhhBBCCCGyy3VhQin1VAHkGAbMVkotBNA0bSDw\nLNAPCHrAfrMwdR8xAmb/tTk+fj9OTgHY2NiZ+9APdTAhAQD3kjKlY1H0/vvv8+WXXxba+RLTEum5\nqicXYi6w/OXlvFT7pUI7tzCvWxtvcWXSFeL3xGPnbUfddXVxfcKVkmVKYjQa6dSpE5s3b2bAgAF8\n/PHHbN26lZkzZ1KmTBlTRWHqVOjTJ89Fibg40+wax45Bo0awZIkUJYRJYd/XhPWStiaEENZH98Eq\nNU0rCTQCvvh7mVJKaZr2O9DsAfv1BfyAnsDogsiWmhqOo2PeHoHOj+j0dP536hTNXFxo5epa6OcX\n+Ve5cuVCO1d0cjTPLH6GawnX2N57Oy0qtyi0cwvzyIzPJOFwAtfnXidqWRSuLV2pvaw25Z4vh42d\naVbnQ4cO8e2337J582ZmzZrFm3emwUhISDAVJa5dgy+/NFUWBg3KU46zZ01Fibg42LABnn3WbJco\nioHCvK8J6yZtTQghrI/uhQmgHGALRP5neSRQ4147aJrmj6mQ0VIpZdQKaArN9PQIypRpVSDHfpDd\n8fEkG40sq12bUtKNo0gaMmRIoZxn26Vt9FrdC6MysrPPThp6NSyU84r8Sb2SSuLRRJLPJZN0Kono\nVdEYU4zYOttSoXcFas6vyb/va8uWLaN79+54eHjw9ddfZxUl4E5bS0iA+vVNI1V+8QU0aZLrTNev\nm4oSLi6wfz9UqmSWSxXFSGHd14SQtiaEENbHEgoTuaJpmg2m7hufKqUu/r24IM6VkXGLkiXz9jh0\nfhxKSKCSvT2VSpUq9HOLomPlnyvpuaonzSs1Z8HzC6jkKtg98jAAACAASURBVO8ki4LMhEyO1D2C\nIdGArastjtUdqfxhZTy6e+BQzQHNJvvt7IcffuDdd9/lySefZNu2bdja2kJMjGnwhwMHTK+jR8HW\nFvbtg6ZNc5Xn1i2YPx8mTACjEQ4eBO/CH+9XCCGEEEJYMRu9A2AaNNPA3YNXVgBu3GN7Z6AxMFPT\ntAxN0zIwdeVooGlauqZprR90sk6dOhEYGJjt1axZM9asWZNtuw0blvLhh4nY2XllW/72228zd+7c\nbMuCg4MJDAwkOjr7OJ2ffvopkydPzrbsypUrBAYGEhoamm35N998w/vvvw/A5dRUqjk4kJycTGBg\nIHv37s227ZIlS+jb9+7ZFrp163bXdWzZsoXAwMC7ti2M6/ibXIf5r2PkZyN5fd3rtPZtzcaeG1Hx\nqkheR3H598jNdQxsPRBDkoGG+xvSMrYltXbWYujRoQTfDM5WlJg3bx716tXjzTffpHv37qxfvx5b\nW1u6NWnCGk9PeOUV2LQJatViy+DBBLZqdVdR4l7XceBAMI0bB9KvXzSPPgrlysH774Of36e88cbk\nbEUJa/j3kOuQ65DrkOuQ6yj+17FkyZKs3/uffPJJPD09GTx48F3bCyH0oymV48kzCi6Eph0EDiml\n3rnztQZcAWYopb78z7Ya8N+BH94GngJeBMKVUin3OEcAcOzYsWMEBDx8VtG4uN2cOPEkjz12htKl\na+blsvLkdmYm9Y8e5akyZZhTs/DOK8wrNDSUmgXw7xeVFMWqM6sYtnkYHqU9+PWVX6njUcfs5xEF\nI3xcOOFjwvEd64vvaN/7bnfp0iX69evHoUOH6N27NzNnzqRkyZKwcqVp/s7WrWHePPDyylVbu3AB\nmjeHqCjw94dWrUyv1q1BunSLhymo+5oQ/yVtTRSG4OBgGjVqBNBIKRX8sO2FEAXLUrpyTAXma5p2\njH+mC3UE5gNomjYRqKiU6qNMlZQ//72zpmk3gVSl1BlzBcrMjAWgZEk3cx3yoYxK8cSJE9xIT2dg\nxYqFdl5hfh988AHr1q0zy7EyDBms+HMF0w9N51DEIQACawSyuMtinOyczHIOUfDi98ebihKf312U\nuHnzJidPnuTYsWOsWrWKw4cP4+Liwu+//06LFncGM929G15+Gbp1MxUl7nT1yk1bmzIFkpPhzz+h\nVuGP6yuKOHPe14R4EGlrQghhfSyiMKGU+kXTtHLAWExdOE4ATyulou5s4gkUagf6lJQL2NiUokSJ\nwitMzL1+nRO3b7OlXj0au7gU2nmF+c2cOTPfx7iZdJP1Z9czce9ELsZepF3Vdix6YRGtqrSisqt8\nvF1UpN1I48oXV4j4JoJSj5SiyqgqWetCQkKYPHkyixcvBsDR0ZEOHTqwdOlSOnfuTOnSpUEp2LbN\n1N+iYkVYvBhs/umFd7+2lpwMx49DcLDpdfw4nDwJkyZJUULkjTnua0LkhLQ1IYSwPhZRmABQSn0H\nfHefdXd3MMu+/nPgc3PmiY3djqtrS2xsCudbpJTi/65fp7O7O+3dCq8YIgpGfqc6u3H7BjVm1iAx\nLZEOj3RgdbfVPFrhUTOlE4VBKUXk4kguvHsB7f/Zu+/4mu7/geOvmykLsYPYtXdQapZaVcq3rb3V\nqqBUbUVbalO196itqkVrj9aPWDHaahBJkAiy97r3nt8fp1VBFsm9Sc77+XjkgZtzPufzkbe0953P\n5/3W6Sg+ojjF+hdDZ6nj0aNHzJo1i2XLlpE/f37mz5/P+++/T7ly5dTils/avRu6d1c7bezalSwp\nAS+PtWvXoE0b9ciGjQ3UqKHe7u4O/fpl5apFbiYtHIWpSKwJIYT2ZJvERHYTHX0NF5eBJnve9eho\nLkVFsa+a1AvQusfRj3H/xZ0EfQL3Pr0n3TZyqKC9QXj18aJQ50JUXF0RmyI2AMTExPDmm28SGBjI\n9OnTmTx5MjY2NslvPn8e5s1Tu234+0Plymq7jDRaIysK/PknjB4NTk5q445q1dTkhBBCCCGEENmV\nJCZeIiEhkMTEhzg4mO4n1EsDAnCwsKC1s7PJnimyH4PRwAe7P8DD30NagOZQ+gg9f/f7m5CfQsjb\nMC/Vfqj2tNtGUlISPXv2JCQkhEuXLlGrVq3kNwcGqkc2tm2DmjWhd2+oXRtat04zKbFhA0ydqg5R\nuDCsXAl16mTVKoUQQgghhMg82aFdaLYTFXUFgLx5G5nkeT8FB7Px0SPGlyqFo5XkinKD59tmpYdR\nMTLgpwF4+HvwY7cf6VWzVxbMTGSlpPAkrr9znYgzEVTaWInap2ujs9ARGxvL7NmzqVKlCocOHWL3\n7t3JkxKKoha3rFULjh6FtWvVwhDffKMWu0zheFdcHHzwwVwGDIARI9SdEUeOwIMH8MEHJlq00IxX\n+b4mxKuQWBNCCO2Rd8EvodeHAmBjUyTLnxWSlMSoO3doX6AAk+VMZa4RGxub4XtO+51m642tbOm8\nhY6VOmbBrERWSghI4NaQW0RdjsLN0w2nOk7s27ePw4cPc/DgQQIDA+nZsyf79u2jZo0aEBqqZhAe\nPIAvvlCrU7q5wa+/qlseXiIyEu7fVz9u34bly8HbO5batWHIEJg+PcUchhCv7VW+rwnxKiTWhBBC\ne3Rq983cT6fT1QWuXLlyhbp166Z6rb//d9y9+znNm8dn+bym+/qyyN+fG/XqUdbOLsufJ7Kn64+u\n03B9Q1wcXbjlfgtrS2tzT0mkQ0JAAg8WPCDibARRnlFY2FlQfl55SnxSgkePHuHi4oKlpSV9+vSh\nb6tWvB0Vpe6IOHUKIiL+G8jSUs0qTJoEKeyaatUKTp78789WVtChA8yeDVWrZvFChRBCiFzG09MT\nNzc3ADdFUTzNPR8htE52TLxEUlIwVlb5TfKso2FhvOPsLEkJDYtNiuWTXz6hiEMRrg+7LkmJHOLJ\n3id4j/TGmGikYIeCFB9WnMIfFSaWWDZv3sz48eNxdnbG8+RJyowfD336qNmERo1g7Fi1Z2epUuDq\nCkWLqsmJlwgLgx9/VJMSgwdD//7qbS4uKd4ihBBCCCFEjiKJiZeIjr6Ko2OttC98Tdejo/GIjGRb\nlSpZ/iyRPSXoE3h327uce3COr97+CidbJ3NPSaTBmGjk4ZqHeI/0ptD/ClFucTmuPrjKLx6/cKb3\nGY4cOUJiYiLt2rVj06ZNFN2wAc6ehR074N13IW/edD9ryRKYPBni46FdO5g7F6Q+rhBCCCGEyG0k\nMfEcRVGIifkDZ+e2Wf6so6GhOFhY0DWF8+Qi5woODqZQoUIpfj7RkMhh78NMPz2da4+usen9TfSr\n3c+EMxQZYYgx8HDtQ4J2BxHlGYWSoOAy1IWKKyuyYsUK3N3dsbOzo379+syZM4cPP/wQVx8fWLgQ\n1qxRK1F2756hZ16+rJ7saNFC7bjh4vLy69KKNSEyi8SaMBWJNSGE0B7pyvGchIQA4uP9KFiwfZY/\n63R4OLUcHbGykC9DbjNw4MAUPxcUE0T1FdV5f+f7hMeHM6fVHElKZGPGRCM3OtzA53MfbFxsKD+v\nPG6eblRaVYnQ0FC++OILWrVqRWRkJGfOnGFM7964LlqkZhQ2boQePeC77zL0zMREaNtWrR3x/fcp\nJyUg9VgTIjNJrAlTkVgTQgjtkR0Tz4mN9QLA3r5alj4nUq/ndHg4X5Qpk6XPEeYxY8aMFD/X44ce\neId6c6rfKVqUaWGyOYlXE7AigIgzEdQ+U5v8zdTaM3q9nuPHjzNlyhQURWH9+vVYPX4MmzbB11+D\nTgejR8PixervM8BgUG8NDVVbfxYsmPr1qcWaEJlJYk2YisSaEEJojyQmnhMb64VOZ0OePGWy9Dk/\nBgcTazTyoRzjyJWe7fyiN+o543eGYz7H8Az05ITvCTZ02iBJiWwu7m4cvtN9ebLtCUV6FXmalPDw\n8KBbt27cv3+fKlWqsGvyZEp36gQ3bqg3Dh0Ks2alnVFIwb59sGqVWh9TLRaeurS6DAmRWSTWhKlI\nrAkhhPZIYuI5cXG3sLOrgIVF1v3VROv1zL53j0Z581IuT54se44wP69gLzps74BPmA8uji7UL1Gf\nee/Mo0+tPuaemngJfaSeBwseELQviNi/YtHZ6Ki4qiIuQ1xQFIU+ffqwbds2ihcvzqlTp2herBi6\nGjWgfn3YswcaN0793EUqIiPhwgXo2hWqV1fLUwghhBBCCKEFkph4TkLCQ2xtS2bpM2b4+eEXH8+O\nqlXRZXCbt8g54pLieH/n+9ha2nLx44vUK15Pvt7ZlCHOQMihEHwn+ZIQmEDhDwtT9suyOLd25sS5\nEwztNJQLFy4QFBTEkiVLGD58ODaRkVCtGuTPDz/88MoJCVBbgpYrB+Hh6nAZLEkhhBBCCCFEjiaJ\nieckJgZiZ1chy8ZPMhpZFhDAOFdX6jpJa8jcav369Ti/5cztkNt4DPKgfon65p6SeAljkhHv0d48\n/v4xhigDTg2cqHm4JkmFk/jtt9+48d0Nvv32W8LDwxk7dixNmjShQ4cO6s0jR6oZBW/vDCUljEa4\nfh3u3oV79+D+fTh8GBIS4NgxaNUqY2Up1q9fz6BBgzK4ciEyTmJNmIrEmhBCaI8kJp6hKApxcXco\nUCBrOnIkGo20uHYNvaLwkdSWyLUMRgM/nfqJB/oHVCxYkQYlGph7SuIl9JF67rjf4fG2x5SeUpoi\nPYtw9t5Zvt7wNVu2bMHf35/8+fNTp04dli9fTpUqVf67+eefYedOWLECSpVK1/OMRvjxRxg3Dvz8\n1NccHKB0aahZE/buhRo1Mr4OT09P+R94YRISa8JUJNaEEEJ7JDHxjLi4OyQlBePg8ArvDtJh5cOH\nnI+MZEeVKtSW3RK50o9//8iow6Pwf8OfyvrKLGu/TI5vZFM32t4g+lo0ZWeVJaxdGGMnjWX//v0U\nLVqUZs2aMW3aNKpXr65+/RQFPD3h9Gm4fFmtUFm7Ngwblq5n7d4NY8bAw4fQurXaRbRGDShQIMNN\nO16wfPny1xtAiHSSWBOmIrEmhBDaI4mJZzx5shsLCwecnVtl+tg7Hj/mU29vRpUoQfeiRTN9fGF+\nIbEhdNvbjbYV2vJD1x+oX7y+JCWyIWOikZADIUR6RFJxdUUW3V7EwjoLKVOmDN9//z09e/ZM/nW7\nexfeew+8vMDODurUgVGj4LPPUs0qRETAgQPq8YwtW6BDB9i+HZo2BQsLEyxUCCGEEEKIHEISE88w\nGCKxtXXByipzdzOEJCUxw8+PhnnzsqRC1tWvEOb1zdlv0Ol0rO+0niIORcw9HfESQT8GcXvYbZKe\nJOFfz58F+xZw6MghJk+ezMyZM7GyeuZboqLA99/Dxx9DnjzqLon33gNr61SfER8PGzao7T4TEqBW\nLTWHMXOmenRDCCGEEEIIkZwkJp6RlBSChUXmv3PYFxTE7bg4bv67LVzkKtGJ0cw4PYOF5xfycZ2P\nJSmRDemj9Hh/6s2jDY8o1LkQtu62tOvQjnLlyrFhwwb69++f/N/mX3+pCQkPD7UF6MGDaruMFMTG\nqqc8DhyAbdsgKkotPXH2LLi6Zv36hBBCCCGEyMlkQ/EzoqIukzdv5hYq9IuLY4m/PyVtbakiPy7N\ndW6H3Kbq8qp8e+FbZreczZqOawDo1KmTmWembcYEI+G/heO/zJ+/+/+NRykPnux6QoW1FdjyxhZa\nD2pNQkIChw8fZsCAAf8lJeLj4ZNP1PoR4eHqOYzff081KbFihdqUo0MHOHQIRo+GP/9UC1yaIikh\nsSZMRWJNmIrEmhBCaI/smPhHTMxfxMT8ScmSozJ13Em+vnjHxfF7nTqZOq7IHrZc30JsUiy33W9T\n1rns09fd3d3NOCtxd/xdApYGoLPR4VDVAZdPXHjc6DGdZ3TmypUrDB48mI8++ohSz3fUmD0bVq6E\n+fPB3V09wpEKT0+YNAlatIC5c6FSpdcvZplREmvCVCTWhKlIrAkhhPbIjol/hIWdAnQULdon08a8\nGhXFzidPWFWxIg3y5s20cYX5xevj2e+1nx/+/oEGJRokS0oAtGnTxkwzE4pRIepiFM5tnGka3ZTf\n+/5O4/WNadyxMXFxcZw+fZo1a9bQunXr5Ddu3aomJgYNUnt6ppGUePIEmjRRL5s3DypXNn1SAiTW\nhOlIrAlTkVgTQgjtkcTEP6Kjr+DgUB0LC5tMG/NgSAi2Oh09pQtHrqEoCnPOzqHogqJ02dUFW0tb\nJjaZaO5pCdSvTdC+IC7XukykRyQlPy3Jvp/2MXbsWJo2bcqvv/7K5cuXad68efIbQ0Lgiy/U1p8f\nfgirVqX5LD8/6NsXLC3h6lV1p4QQQgghhBDi1chRjn9ER/+Bo2PtTBsvyWhk5cOHfFSkCLbSGzBX\nUBSFBecWMOnEJEbUH8GI+iOoUriKuaclgKTQJP764C/CT4eTv1V+nL9w5rNdn7Ft2zbeffdddu/e\n/WLhWQ8PWLtWrVgZFwd9+sCCBWCV8rdFRYHx42HhQrXsxKpVULx4Fi9OCCGEEEKIXE7eMf8jMTGA\nPHnKZNp4x8LCCExMZFSJEpk2pjCfPx7/Qde9XRl/fDxjGo7hu/bfpZqU2L9/vwlnp23hZ8I553KO\n8NPhBIwOYKbTTBoPaMzx48f55ptv2LdvX/KkxPnz8NFHareNY8egd2/4+281y+DomOqzvv1WzV3M\nmgUPHkCvXlm8uHSQWBOmIrEmTEViTQghtEcSE4DBEEti4iPs7Mpl2pgHQ0IoZmNDPSenTBtTmMcS\njyXUXFWTM35n2PvRXha1XZRm29cdO3aYaHbapRgV7oy8w/W219lhvYPPan5G72974+Xlxbhx4/D0\n9GTcuHHY2tr+d9Pff0O7dnDzJsycqf66aBGULJnm844dU0tPDByoFrzMLk12JNaEqUisCVORWBNC\nCO2RoxxAXNxdAOzsymfKeIqi8EtICP8rVCjNN7Aiezv/4DyTTkxieL3hLGm3BBvL9NUg2bVrVxbP\nTATtCeLWslssKLWAM/fP8E6Rd1i9ejX9+/fHxiaFr1PfvmoS4vx5SEdB2pAQtYbE2bNqgctWrdRf\nsxOJNWEqEmvCVCTWhBBCeyQxASQmPgbAxiZzDosvDwjgXkICrZ2dM2U8YT6rr6ymuFNxFrVdlO6k\nhMh6ikHh5uKbuOdxJyIygq1bt9K7d+/UbwoJgcuXYfv2VJMSt26pnUJv3FA7bwA4O6t1MdesSbNZ\nhxBCCCGEECKDJDEBGI0xAFha2mfKeEv8/elauDAdCxXKlPGEeXiHerPjzx1MaTqFPFbybjS70Efq\nuTriKjMvzOSBxQMun7tMnTp10r7x4kX111q1UrzkyRPo3x98fOCTT6BqVaheXe26ITVshRBCCCGE\nyBqSmABiY72wtHTE2vr1EwkPExK4Gx/PnHLlsJRjHDnayksrsbOyY9xb48w9FfEPxaDg2cSToX8N\n5W6eu2xZtyX1pMTZs7BvH/z+u7pbwtUV3njjpZfOng0zZqg7In78UT22IYQQQgghhMh68jNA1KMc\ntrYl0eksX3usv2NjAaieXSrjiVey7cY2Fnsspk/NPthbZ3wnzYABA7JgVtq2d+9e+rTpQ78/+nHN\neI3te7bTK6W2GIoCS5dC06bwww9QuTJs3qyez7C2fuHy6dNhyhQYPRr8/HJWUkJiTZiKxJowFYk1\nIYTQHtkxARgMUVhapt4mMF3jKAoDvbwoZmNDGTmInmNturaJ4YeG07tmb5a0W/JKY7Rp0yaTZ6Vt\nQUFB9OjWAwujBW1c2jB2xlg6dOiQ8g2ffqomJoYOhRUrUjyHERkJ330HX36pJiXmz8+iBWQhiTVh\nKhJrwlQk1oQQQnskMQEkJQVjbV34tcdZ8/Ah9xMSOF6rFnksX3/3hTC94z7HGfDTAPrX7s+Kd1dg\nafFqX8cePXpk8sy0J/5ePH6/+TFhwQRO3DyBvdGeQ0MO0XhV49S73Xh4wPLl6rmM6dNTvGzzZhgz\nBmJi1GKXs2dn/hpMQWJNmIrEmjAViTUhhNAeSUwAiYlB2NmVe60xbsbEMOLOHdo4O9Myf/5Mmpkw\nhbuhd/nR60cOex/m9/u/U9elLhs6bZBWryaU+CSRyIuRxN2JI+5OHAFnAjh88zD72MdDHtK3dF8G\nfDyAehPqpf51mTQJFi6E+vXV36fgu+9g1Cho1w7WrYMSJbJgUUIIIYQQQoh0kcQEoNeHY2X1eq09\nD4WEYK3T8WP16vKGNgcJjQul9uraGIwGWpRpwfzW8+lWrZt8DU1AH6kn5EAIYafCeLLjCcZYI+SB\n4FLBTHkyhdvcpmG9huxctRM3N7fUBwsNhXnzYO5cmDYNJk4Em5e3d/Xzg6++gmbN1CKXcupKCCGE\nEEII85LEBGAwRGNp6fRaY5wOD6dJvnzYyxGOHMFgNPB38N9MPD4RvVGPzygfXJxcMm38s2fP0qRJ\nk0wbLzdJfJzI/Xn3CVwbiCHKgEN1BwqPLMySgCXsPrib8NvhODk5sXXrVnr37p32gJ6e0L073Lmj\n7pKYOROeSywdPQr798OJE3D7NuTPDytX5o6khMSaMBWJNWEqEmtCCKE9mu/KYTDEkpgYiI1NkVce\n40RYGL+EhtK1yKuPIUwjyZDEovOLyDcnHzVW1uCU3yn2d9ufqUkJgHnz5mXqeLlF6LFQLtW4xKON\njyjhXoKGDxpS/4/6fP3gazbu2sjIkSM5evQo/v7+aSclEhOhc2dwc4P4eNi0SS0U8VxSYv9+aNsW\njh2Dli1hzx64exeqVs26dZqSxJowFYk1YSoSa0IIoT2a3zERH++HoiTi4FDjlcdY+/AhtRwcGOyS\nuW9uRebyDfPl7c1vcy/iHu++8S6fv/U5bi5uONm+3m6Zl9m5c2emj5mTGeIMhB4O5e/ef5OvaT6q\nbK2CTWH1qMXOnTvZtWsX06ZNY3oqxSqTURQYNgx++QW2b4ePPgKr5N/OgoPhzBno0we6dFG7hubG\nEzoSa8JUJNaEqUisCSGE9mg+MREZeREAR8dar3S/oigcCwujZ9GiWOTGdz25wB+P/2D91fUsvbAU\ne2t7rgy5Qp1idbK0joS9vX2WjZ2TKAaF8NPh/N37bxIfJZK3YV6q/1CdqKQoli5Yyq5du7h8+TI9\ne/Zk4sSJ6Rt03z6YNUs9wrF1KzxXvV1R1LafEyeqvy9fXm3SkVv/eUqsCVORWBOmIrEmhBDao/nE\nRGysF7a2pbG2LvBK98cYDITq9byVN28mz0xkhl1/7qL7D93JZ5uPIW5D6FWjF3Vd6pp7Wpqgj9Jz\na/AtgnYFYVvallonapH/bbVjTat6rfD09OSjjz5i0qRJdOnSJeVEUVwcXLqkVqo8fRquXYNateDg\nQejQ4YXL16+HCRNg5EgYOxZKl869SQkhhBBCCCFyA0lMxP71Wq1CIw0GAPJZaf6vMtswKkaO+xzn\nhM8JFp5fSNXCVbn48UUcbBzMPTVNiH8QT+CaQAJWBGCIMlBmZhlKTyuN0Whk9+7dTJs2jTt37qRe\n3NLXF778Es6dA29vMBqheHG1WMTIkdCrF9javnDb48fqba1bw9KlWbtOIYQQQgghRObQfPHLmJi/\ncXJKoxVhKrzj4gBwfcmbJGEe44+Np+33bdl4bSO9avbi8uDLJk9KfP755yZ9XnbhPc4bjzIe+H/r\nT9HeRXnz7pvcb3Gf9u3bkz9/frp3706BAgU4cuTIy5MSV66oVSnLlYNff4V27WD1arh4ER48gA0b\nYODAF5IS//d/MHUqNG+uJieWLTPRgrMBrcaaMD2JNWEqEmtCCKE9mv8xv14firV1oVe+/0pUFHks\nLKgi5yGzhYdRD1l0fhGTmkxiVstZWVpHIjWlSpUyy3PNKfFxIgFLAyjasyjFFxRn3ffrODvqLD/9\n9BNubm5MnTqV+vXr06RJE2xsbF4cQFFgyBCwtIS9e9VtD2kckVIUmDMHJk+GggWhaVP1KEfFilm0\nyGxIi7EmzENiTZiKxJoQQmiPphMTimJArw/HyurV6ksAHA4NpY6jI1YWmt98ki188/s3FLQvyKg3\nR5ktKQEwcuRIsz3bXB4sfkC0ZTQWvS2YOXom+/bt46233mLWrFmMHz8eS0vLlG++eRM+/VQtaHn8\nOLRqleKl8fHg46O2/Dx8GFasAHd3+PZb0OI/Qy3GmjAPiTVhKhJrQgihPZpOTCQlhQIK1tYFX+l+\n79hYjoaFsb5SpcydmMiwC/4XWOSxiJ9v/cyI+iMo5ljM3FPSjLi4OCaPmczu1bt5yENop74+YcIE\n5syZk/rNSUlw4QIMHQoBAWqBy+eSEnv3qqc67t5VP/z9//ucgwNMmQJffSUFLoUQQgghhMipNJ2Y\niI29CYC9/aslFvYGBWGt0/FugVffcSFeXXRiNFcDr3L98XU+P/Y5JZxK8PlbnzPurXHmnpomJCYm\nsnnzZr6e9jX3H9/nbd3bzF05lxoNa/DGG2+k3u7t4UOYN09t9xkaCs7OagbinXeSXXbqFHz0kfr7\n7t2hSRO1/Wf58lChAhQrps1dEkIIIYQQQuQmmk5MxMX5AmBn98Yr3X81OpqaDg4Uk8KXJrfl+hZG\n/TqKiIQIrCysqF2sNj90/YFS+bLHuVQvLy8qV65s7mlkmbCwMNq3bc/FSxdpSEOGlxvO0HVDcX7b\nOe2b9Xp4802IjlZrSnz4IdStq9aWeMaTJ2oTjrffhj171BoS4kW5PdZE9iGxJkxFYk0IIbRH0z9r\nNBgisLCww8LiJYX40nA+IoLdQUF0KVw4C2YmUqIoCl+c+oJ++/vRoWIHrg29RszkGC4NvpRtkhIA\n48ePN/cUsoTBYGDfvn28/fbb3P7zNitsV7Br0S4+/+Pz9CUlLl2CL75Qz2Ns2ABz50L9+k+TEkaj\nWjdiwgS1w4bRqBazlKREynJrrInsR2JNmIrEmhBCaI+md0zo9ZFYWeV7pXt/i4jA3sKCCa6umTwr\nkZI7IXdot60dPmE+DK47mFXvrcJClz1za8tyWb9KcVwyowAAIABJREFURVH44YcfWLBgARcuXKBG\n+RrMTJhJ28ltcR2Tjn8DXl6weDGsWaMWhujYEd56K9klRiOsWgUjRqjNODp2hLVroWzZLFpULpHb\nYk1kXxJrwlQk1oQQQns0npiIwNIy9XaEKTkZFkbTfPmkG4cJrb+6nicxTzjS+wityrbKtkkJyF2t\nziIjI5k8eTLLly+nadOmHFh8AMexjthXtqf0F6XTN8gHH8CtWzBuHHzzDVj9960nLg5++AHGj4fA\nQHWnxMmTUjsivXJTrInsTWJNmIrEmhBCaI+mExMGw6vtmEgwGvk9IoKZZcpk/qTES/127zeWeCxh\nqNtQ2pRvY+7paMbmzZsZNmwY8fHxzP9yPl0iuxD4VSC2NW2pfbo2FtbpyB6EhantQDdvhr59k33q\nxg1o2hQiI6FTJzU50aiRJCWEEEIIIYTQEk0nJhITH2FtXSjD912OiiLOaKSlczrO1IvXFhEfQYft\nHWhYsiEzWsww93Q0IzAwkMGDB9O1a1c+a/wZMZNjCNQFUqRHEUpPKY11fuv0DTRlirpDonnzpy8p\nCqxeDdOmQXy82jG0QYMsWogQQgghhBAiW9P0zyVjY2+9UqvQW7GxAFRNrR2ieG0R8RGsubKG1ltb\nE50YzbpO63C2yxnJoLlz55p7Cq/l1q1b9OzZE4PBwOQ2k4kcHUn+lvl5886bVFxeEdviaXSiefRI\n3f5QpQqsXAmLFkHp/459LF4Mw4fDu++Ct7ckJV5HTo81kXNIrAlTkVgTQgjt0fSOiYQEf2xtM36O\n8efgYGo6OGD3XHtDkTluBd/i2wvfsuX6FuL0cbSr0I5DPQ9RoUAFc08t3WL/SV7lRAEBATRs2JBC\nhQqxb88+Yr+OxaG6A1V3VMXCJh25zJAQaNxYLRjRqxfMng2dOwNw/z7MmwfLl6tlJzZvzuLFaEBO\njjWRs0isCVORWBNCCO3RbGLCaNRjNMZmuMaEoijciImhjRzjyBLHfY7z7rZ3KWhfkHFvjWNw3cGU\nyFvC3NPKsJkzZ5p7Cq8kKiqK4cOHk5iYyOG5h3k09BExETHUPFwz9aREYiJcvQrTp8Px42rnjZMn\noWFDAgPhm9Hw009qYsLBARYsgLFjTbeu3CynxprIeSTWhKlIrAkhhPZoNjFhMEQBZLgrR5hej298\nPG9LYiLThceHM+v3WRR1LIr3SG9srdI4LiAyhcFg4OTJk2zZsoV9+/ah1+vZMHYDj4Y/Qmejo/4f\n9bGvlMKxpWvX4NNP4fx5NTlRvjwsWwZdukDRosTEwNtvQ1CQWveyWTNo0QLkn48QQgghhBDiX5pN\nTCQmPgbI8I6Ju3FxAJTLkyfT56Rlm69t5pNfPsGoGNnXdZ8kJbLQxYsXOXToEH5+fvj5+fH3338T\nFBREpUqVmDJpCu+Vfo/QvqHY1LKhxs81yFMqhViPjoYOHaBgQXULhJub+mGrfu0URS0z4eurdt+o\nlPFyLkIIIYQQQggN0GxiIiLiLKAjb96MVd3bHxyMJVDNwSFL5qUVEfERLPFYws3gm9wJucPVR1fp\nVaMXC9osoJhjMXNP77UFBwdTqFDGO75ktYCAAN555x1sbW2pWLEiZcqUoVmzZnTs2JESV0tw97O7\nhMaEYl3ImhoHa5Cn5HNJidBQuH0bbt2C7dvVP587l6ywJahJiYEDYdMmWLJEkhJZKbvGmsh9JNaE\nqUisCSGE9mg2MZGYGICNTbEM75jY9OgRPYoWxV4KX74Sg9HAtFPT2HB1A09intCiTAvqF6/PgNoD\nGOI2JNfslBg4cCA///yzuacBgJeXF99++y2XL1/mxo0bFCxYkOvXr1O4cOGn1zza/AivYV64fOyC\ny2AXHGs7Jq8pERsLs2aphSz/VbEi7NmTLCmRkABbt8KaNXDpktp9Y/RoU6xSu7JTrIncTWJNmIrE\nmhBCaI9mExMJCQ+xsXHJ0D0P4uN5mJjI/ySL/0r8wv0Y+etIDt4+yKA6gxjZYCS1itUy97SyxIwZ\nM8w9BSIiIujXrx8HDhygRIkStGzZkj59+tCjR4+nSQlDvIHANYH4TPAhf8v8VFr7zNYGRYGLF9UM\nw9Klal/P3r1h3Dh44w14rl3u4cPw8cfw8CG0aQOrV6u7JkTWyg6xJrRBYk2YisSaEEJoj2YTE4mJ\ngdjaFs/QPR6RkQDUdnTMiinlWo+jH9Ntbzd+u/cbLk4u7P1oLx9U/cDc08pSdevWNduzQ0JC2L59\nOytWrHi6W2Lw4MHY2dk9vUYxKMTeisV7tDdhJ8Mo2rsoZb8qm3yg9eth8GCwtoY6dcDDAxq8/OiT\nosCYMVCmDBw7BlWqZOECRTLmjDWhLRJrwlQk1oQQQns0nJh4goNDtQzdsycoCDdHR8o+8wZPpExR\nFJZfWs6kE5OIToxmcdvFDKozCCdbJ3NPLVcyGo38/PPPjBkzBj8/P9q0acO6deto3Ljx02vi/OLw\n6uNF1JUojHFGrApaUeNADQq+WzD5YHo9TJoEjRrBqVNPC1qm5MoV8PKCI0ckKSGEEEIIIYTIGM0m\nJuLj/XB2fidD9/jGx8tuiQxYcG4B44+Pp3/t/nzW6DOqF6lu7inlWrGxsbRu3Zpz587RoEEDdu7c\nyZtvvpnsGsWgcHvYbeJ84yj7dVkcazni1MAJK6fnvg1cvaqexQgOhhUrUk1KJCaqpz1mzIDChaFl\nyyxYnBBCCCGEECJXs0j7ktzHaNSTlPQYO7vy6b4nyWjkblwcrtImNF0eRT9i4omJ9K3Vl43vb9Rc\nUmL9+vUme5a/vz+1a9fm0qVLHDx4kAsXLryQlAC42fMmYUfDqLS6Eq5jXXFu5Zw8KaEo8OefMHOm\nmpS4eBE++ijF586bp3YKbdpUbdSxejVYaTbVaT6mjDWhbRJrwlQk1oQQQns0mZgwGCIAsLLKm+57\nzkdGEqbX08bZOaumlWsoisKUE1NwtHFkQesF5p6OWXh6emb5M4KCgjhy5AiDBg3i/v373Lhxgw4d\nOrz02pi/YwjaHUSl9ZUo2OG5YxuhoTBqFJQtCzVqwIkTsGMH1K//wjghIWrpiVatYMIE6NtXrY3p\n6wtdumTFKkVaTBFrQoDEmjAdiTUhhNAeTf58MzHxMQA2NsXSfc/Khw8pam1NXSepj5CWL898yYZr\nG5jadCqFHQqnfUMutHz58iwZNzw8nCNHjrBt2zYOHDgAgJOTE4sWLaJy5coAGGIMxN6JJTEwkcRH\n6kfIwRCsi1hTpHsRiIiAGzfgr7/UYxv79qntQAcOhPfeg+bN4bmdQUYj/Pgj9O8PMTHQrBmsW6fe\notNlyVJFOmVVrAnxPIk1YSoSa0IIoT2aTEwkJQUDYGVVMI0r/3M5KoqeRYtia6HJTSbpkmRIote+\nXuy5uYfu1bvzVcuvzD2lXOPGjRv88ssvLFy4kODgYGrXrs3atWtp0aIF5cqVw+KfuDQmGrlY+SIJ\n/glP77UqaIVtcVuqfOOEZce2cOaMWtzSygoqVlRbgA4ZkmrVygkTYMEC9djG9u1QsmSWL1kIIYQQ\nQgihEZpMTOj1attPK6t86bo+wWjEJy6OKvb2WTmtHOvKwyuc9jvNUZ+jnPQ9ybb/baNH9R7mnlau\nkJiYyPvvv8/hw4ext7enQ4cOzJs3jzJlyjy9RlEUHu94TODaQMLPhIMRys0vR5FuRbCxiMRixbew\nfz8MuqnesHgxtG4Nb7wBNjZpzuHOHfjuOxg7Vk1OyA4JIYQQQgghRGbSZGLCYPg3MZG+GhP+CQkY\ngXLSJvQF33p8y6dHPkWHjoYlG7Kh0wZ61uhp7mnlCkajkYULF3L48GHWrl1Lnz59sH2mQ0bUtShC\nDoQQdjyMiN8icH7HmXJzy5GvoRN5He+hm/aFur3B2lrdFTFunLrloUKFDM1j+HC1yOXMmZKUEEII\nIYQQQmQ+jSYmogALLCzStwPifnw8ACVTaZuoNXqjni3Xt/DpkU/pUrkLOz7Yga2V/P38q1OnTvz8\n88+vfP+ePXtYsWIFp0+fZsiQIQwcOPDpcQ2ApPAkrja+iqJXyN88P5U3V6ZYvguway7MPwFPnqj9\nO+fMgT591N9nUFAQTJ6s1sL8/nuQTrnZ0+vGmhDpJbEmTEViTQghtEeTiQm9PhJLSyd06fzx7+qH\nD8lvZUUpSUwA4BPmQ7ONzQiICqB56ebs7boXC53U3niWu7t7hu9RFIUVK1bw66+/cujQIYoUKcKu\nXbvo2rVrsusSgxO5O+4uxlgj9W/Wx6GKA1y7BnU6Q+3aMGgQvPMOvPXWC0Us0/Lnn2pRyz//VLtt\nWFmpxzh6yiaYbOtVYk2IVyGxJkxFYk0IIbRHk4kJgyEqQ61CT4WHM6J4cewsLbNwVtnfoduH2Hx9\nMwdvH6SAXQE8BnlQv0R9SUq8RJs2bTJ0vaIo7NmzB3d3d8qXL88XX3zBmDFjyJ8//9NrEgISCDse\nhs8UH4yxRsovKK8mJU6ehI4d1Xaf587BKxw5CgpSExGdO6vJiHbtYPRo+PhjKFUqw8MJE8porAnx\nqiTWhKlIrAkhhPZoMjHx746J9AhMSOBJUpLm24Se9D3Jezveo17xeox+czR9a/WlSuGUuziI9DMa\njUybNo3Zs2fTsGFDTp06RZ5ndjoY4g34L/HHd4ovGCHvmw5U634L24sroOaf8McfaneNy5czlJS4\ndAkWLoQLF8DPT33N2Rm2boUOHTJ5kUIIIYQQQgiRAk0mJgyGqHQnJi5EqoUy62s8MfGT10+Uzlea\nix9fTPcRGJG68+fPM3XqVC5fvkxkZCQjR47k22+/BSDCI4LYm7HE3YkjeH8wsbdjKfFJCUp/URqb\n7u1hzElo0AAaN4ahQ9UtDhmI0bNn1TqYZcrA//4H9eurw5UtKwUuhRBCCCGEEKal2cSElVX63sQd\nDAmhgp2dpgtfnvI9xfqr6+lbq68kJdJp//79dO7cOcXPL1++nE8//ZSqVasyceJEGjVqRPPmzdHp\ndNybfU/dHaEDW1db7CvbU3lLZfLWzwsbN6pHN7Zte6XCD/HxcP48tGkDVaqohS1dXF5npcLc0oo1\nITKLxJowFYk1IYTQHk0WB8jIjok/Y2Ko6eCg2TfkiqLw+bHPqVK4CnPfmWvu6eQYO3bseOnrer2e\nCRMm4O7uzttvv82FCxeYNGkSLVq0QKfT8WDRA3yn+OI6wZWmsU1pdK8RtY7UIm89J5gyBQYOhMGD\noUePdM8lIUE9slGpEjg4QMuW6k4JT09JSuQGKcWaEJlNYk2YisSaEEJojyZ3TOj1UdjZFUnzuoCE\nBC5ERbGjZEkTzCp7iUuKwzvUm8Uei7kSeIWfuv+Ek622j7NkxK5du154LSYmhg8++IBjx44xe/Zs\nxowZQ548eTDqjTxc+ZDwM+GE/BxCoS6FKPdNuf+SYT4+aiXKgwdh3jwYNy7d5y28vNS6mL6+atfQ\n8eOhalWoWTPDDTtENvWyWBMiK0isCVORWBNCCO3RZGIivTsmzkdEANDsmc4IuV1EfASDfh7Evr/3\noaAA0KhkIzpV6mTmmeVciqLw/fffM3PmTO7evcuRI0eSVRwPXBeI92hv8jXNh+tnrrhOcFWTEooC\n33wDc+aoVSn37YMuXdJ4Fty8qR7R+PejTBm4cUNNSAghhBBCCCFEdqPZxER6akysfPiQqvb2FNdA\nfYmI+AjO+59n+unp3Aq+xdL2S6lTrA6VClWioF1Bc08vR3ry5AlXrlxh06ZN7N69mzZt2rBw4cJk\nSQnFqOC/yJ/CHxam2u5qyQc4c0Y9vjF8uJqgyJfvpc9ZuRKOHwdvb/UjNhZsbOCtt2DiRBgxQs1r\nCCGEEEIIIUR2pMnERHrahSYZjfxfRARfli1rolmZx/VH11lyYQk7/thBgiGBgnYFWf3earpV72bu\nqeVY3t7eLFu2jGXLlmEwGHBycmLcuHHMnz//6TWJTxIJ/y2c0F9DibsTR4XFFZIPEhMDX32lFoFY\nvvyFoxvx8XDuHMyere6KyJdPrYXZrx/UqKE267C3N8VqhRBCCCGEEOL1aC4xoSgKen04VlYFUr3O\nPyGBBEWhUi59d5doSOSD3R9w8PZBXPO6MrPFTP5X5X9UKFBBs4U+X5eiKMybN48pU6ZgaWnJ9OnT\n6dWrF2XKlMHC4r86s3dG3uHhqocoegXb0raUnlqaAu3+icekJDhwAGbMUAtEHD78NClx+jTMnKnu\niggIUI9tuLnBqlXQty/Y2Zl+zcL8BgwYwMaNG809DaEBEmvCVCTWhBBCezSXmDAYogED1tapJyYO\nhYRgo9PRKhfWl4hLimOxx2IO3j7IsvbLGOI2BGtLa3NPK8dbunQpEydOZNKkSVSqVIl+/fq9cE3g\nhkAClgVQckxJXMe5YlvcFh4/huNH4fp1WLpUzTqULw8LFhDh1pIrJ2HxYrX2pa0tfPYZlCsHFSqo\nOyOsNPevWDzr2aNBQmQliTVhKhJrQgihPdnmLY1OpxsBjAOKAdeBkYqiXErh2i7AcKA2YAv8BcxQ\nFOVoWs/R66MAsLJK/dD9/YQEStra4piL3vU9in7EpmubWOKxhKDYIPrV6sfQekOxssg9azQXHx8f\nFi1aRM+ePZk9e/YLn4+9Fcvj7Y+59+U9Cr6bl/JF96EbdhYuXlQTEwBOTlCzJoZBgznacDrjxsHN\n0eqn3nhDrSXRtSsUSD2nJjSmRwZaxwrxOiTWhKlIrAkhhPZki3ekOp2uG7AQGAJcBMYAR3Q6XUVF\nUYJfcksz4CgwCQgHBgIHdDpdA0VRrqf2LINB7bSRVmLiQmQkNR0dM7iS7Omw92EWnV/ECd8TWFlY\n0a9WP8Y3Hk+FAhXSvlm8lKIoXL16lUOHDnHo0CEuXLhAwYIFmThx4tNrDLEGYm7GELQ3iAfzH2CV\n34rCHxaiVMA8dBO3QqtWMHgw1K6NX/7a7L9eluMnLfhtMURFqbsiNm+GOnWgShXZGSGEEEIIIYTI\nnbLLW50xwGpFUbYA6HS6YUAH1ITDvOcvVhRlzHMvTdHpdO8DHVF3W6RIr49ApyPVoxxxBgPnIyNZ\nWL58xlaRDd0Lv0eXXV2oWbQmqzqs4oOqH1DATn7k/jpWr17N3Llz8fX1xcnJiTZt2uDu7k6XLl1w\ncHAg8XEid8fd5fH2x2AEdODysQtvfF0Eix4fwqXf1NoRbdsSHKx2zdi9Wz2m0aQJTJoELVuq9SMk\nGSGEEEIIIYTI7cz+tken01kDbsDT/e+Koig6ne440CidY+gAJyA0rWv1+lCsrcHGpmiK1xwPCyNJ\nUWiSQnvGnKTZpmYUtCvIwR4HKexQ2NzTybFu3brFl19+ydmzZ7l//z7dunVj7dq1NG3aFBsbGwD0\nkXqe7H2C9yhvrsVdo+OCjuRrnA+Hag5Y2lvA1Klw8iT8+iu0bUtkpNpBIyoKVq+GXr3AwcHMCxU5\nztmzZ2nSpIm5pyE0QGJNmIrEmhBCaI9F2pdkuUKAJfD4udcfo9abSI/PAQdgd1oXJiWFYmHhgKVl\nyu8AZ9+/T7N8+aidw49yBEYFcj/iPvNaz5OkxCu4f/8+vXr1okKFClSuXJkjR47w4YcfcujQIXbs\n2EGrVq3+S0pE6blc+zI3P7qJlbMVh+ocwnWMK3kb5MXSwRJ++EHt7TloELRrh5cXdOgAYWHw558w\nZIgkJcSrmTfvhU1lQmQJiTVhKhJrQgihPWbfMfG6dDpdT2Aa0CmFehTJJCWFprpbAsA3Lo7hJUrk\n6LaZBqOBsUfHYqGzoGXZluaeTo7i5eXFxx9/zPnz58mXLx/9+vWjdu3atG/fniJFirxwvT5Sz73Z\n94i/H4+bpxtOdZzYE7vnvwu8vWH4cIwN3+LK0HVMegdOnFAbbxw9CmXKmG5tIvfZuXOnuacgNEJi\nTZiKxJoQQmhPdtgxEQwYgOezBUWBR6ndqNPpugNrgI8URTmVnocNGrSLCRPC6NSp09OPRo0asX//\nfgAeJSTwJCmJiPPn6dSp0wv3jxgxgvXr1yd7zdPTk06dOhEcnDwvMn36dObOnZvstfv379OpUye8\nvLySvf7dd9/x+eefJ3stNjaWTp06cfbs2WSv79ixgwEDBrwwt27duj1dx6Lzi9j5507GFB7DkJ5D\ncuw6/nX06NEs/3qEhoayYMECWrRogZeXF61bt+bWrVssXryYfv364ejomGwdUVejuFjlIjPzzcR9\nrjuuY1xxquMEgL29vbqOLVsIb9Qen4gCFL3wMw0aHOX33zuxeTP88Qc0a5b563hWTv56yDrStw57\ne/tcsQ7IHV+P3LwOe3v7XLGOf8k6su86/o21nL6Of8k6zL+OHTt2PP3//ubNm1OsWDHc3d1fuF4I\nYT46RVHMPQd0Op0HcEFRlNH//FkH3AeWKooyP4V7egDrgG6KohxMxzPqAld27XqbSpVsqFXr8Euv\nOxEWxjvXr3OnQQMq/PMfxpwmOjEa57nOfFT1I7Z/sN3c08kRbty4QY8ePbhz5w6tW7fmm2++oWbN\nmi+91hBvIPavWG72vEm8bzyV1lXCqZ4T9lXsk++yURRCugwi309bGNfxNtU6lqNSJahVC3JB+RIh\nhBBCiBzL09MTNzc3ADdFUTzNPR8htC67HOVYBGzS6XRX+K9dqD2wCUCn030DFFcUpd8/f+75z+dG\nAZd0Ot2/uy3iFEWJTO1BipKApWXK7wrPRURgAbjmyfM66zErnzAf9EY9IxuMNPdUcoR/s/p2dnZ4\nenpSvXr1p58L2h9ExJkIEgIS/vvwT1D3+FhCjYM1KNiuYPIBFQWuX8ewYBEFf9rKRL5h+uZyOKfe\noVYIIYQQQgghNCk7HOVAUZTdwDjgS+AqUBNoqyhK0D+XFANcn7llMGrBzOXAw2c+lqT1LKMxEQuL\nlJMO6wMD6V20KLYW2eKvJsP8wv0Y9PMgrCysqFSokrmnk+15eHhQo0YN9Ho9v/zyy9OkROTFSP7o\n+Ad/dfmLxzsekxSahF0FO4r2LErFFRWp61GXphFNX0xKBAeT0LYTn9epQ8z2n+hvuZViiydKUkJk\nmee3xAqRVSTWhKlIrAkhhPZklx0TKIqyAliRwucGPPfnt1/1OUZjQoqJiaDERPwTEqjv5PSqw5vd\ngnML8A715ufuP1PAroC5p5NtxcTEsHHjRsaMGYObmxuHDx8mf/78JIUlcevjWwTvD8ahmgNvrHiD\n4kOKo7NMoxDq/fuweDGsWYMxHi5bd2XaoK0M62dDw4amWZPQplKlSpl7CkIjJNaEqUisCSGE9mSb\nxISpKIoenc72pZ87HhaGAfhf4ZzVWlNRFP4K+oulF5ayznMdo98cTfs32pt7WtnW77//jru7O3/8\n8QfdunVj06ZNxJ6PxeeoD4+2PEIfqueN5W/gMsgFC+s0ds7ExMCYMbBxI0YHR45WG0ufS6NYsqUw\nvXqZZj1C20aOlCNbwjQk1oSpSKwJIYT2aDAxkYSFhc1LP3czNhYXGxuK2748cZEd7b25l/HHxuMb\n7ksRhyIsaruIUW+OMve0sqXIyEh27NjBsGHDqFy5Mv/3f/9Ho0aNuDXkFoFrA7EuYk3BDgVx/cwV\nh2oOKY4TFgYnT4LjgR003e2OZVI8myvMY7LvYPS3HZkyD3r0MOHChBBCCCGEECIH01xiwmhMQqd7\neWLir5gYqjmk/IY0u1EUhf77+1OveD2WvbuMVmVbYWuVc5IqpnLjxg26du3KrVu3AOjduzdbtmxB\n0StEeETwaPMjXCe4Um52OXQWqR/ZuHYN2rWDgY9nM5sp/Gr3P1ZXW4hSugxj+8CIEdJxQwghhBBC\nCCEyQnOJCXj5jol4g4HT4eEMcXExw5xezcLzC4lJimFGixm0KNPC3NPJlm7cuEG3bt1QFIXNmzdT\np04dKhSsgN8XfjxY8ABjvBHrotYUH1o81aSEosA776g7JQrlS2K660aURl1pv2MH7V9SKNXLy4vK\nlStn5dKEACTWhOlIrAlTkVgTQgjtyZmtJ17Dy3ZMKIrCDD8/wvR6uhcpYqaZZcz1R9eZdGISn9T7\nRJISKQgLC6N79+6EhISwfd12mt1vRuLARC6UuMC9WfcoNrAYdc7XodG9RtiVtXvpGHq9ukvim2/U\npMTcOQoP3/oQ20A/dO7ukEL3lvHjx2fdwoR4hsSaMBWJNWEqEmtCCKE9mtsxYTBEYWWVvOvGrdhY\n5j54wKRSpajl6GimmWXMqsurKOpQlMXtFpt7KtnWu+++S2BgIFuHbyW2YywxSTEU7FiQEqNKUKBd\nAWwKv/xIz7Pat4fjx8HSErp3h7F1T2M18WfYtg2aNk3xvmXLlmXmUoRIkcSaMBWJNWEqEmtCCKE9\nmktMGI3x2NgUT/baifBwbHQ6ppYujU6XRlvIbODArQNsvr6ZsY3GYmOZ9ptrLbp58yYeHh6sGLYC\npwVOOL/nTMVVFbEpkvLfl6KAnx9cvw43b8LZs2pSYuVK6NvLgL37QGizBWrWhM6dU32+tDoTpiKx\nJkxFYk2YisSaEEJoj+aOcgBYWiYvcOkbF0fpPHmwt7Q004zSb+efO/lg9we0rdCWSU0mmXs62Y6i\nKEwdORW3Gm644ILrKlcKdS5ElW1VUk1KrF0LZcpAuXLQpQvMnw/R0bB1KwztFIj9hJGwZQssWABX\nroC9vekWJYQQQgghhBC5mOZ2TABYWCR/UxmQmEiJbN4i1CfMhwO3DvD171/ToEQDdn24S3ZLPMcQ\na2Bjx43MOjmLHjY9mDJzCmXeL4NDlZQ7rURHw6ZNMHIk1KkDy5ZBvXpQrBjodEBAALzdEnx8YNYs\n+Owzk61HCCGEEEIIIbRAozsmkicm/BMSKJlNExOKotBofSPKLy3P+OPjqetSlzUd10hS4jkR5yPw\nKOfB8dPHKeBQgI3+G6k2sVqqSYmkJHj/fRg7Vu24sXkzdOwILi6gu30LxowBNzeIioL/+z+YPDnd\n85k7d25mLEuINEmsCVORWBOmIrEmhBDaIzvXfYuzAAAgAElEQVQmgICEBBrnzWum2aRu/rn5ePh7\nMKHxBKY0nYKTrVPaN2lM3N04brS5wXyH+RwwHqDfh/2wLZx2ounCBbXTxi+/qEUunzp/Hjp0gIgI\n6NcPpk2DsmUzNKfY2NgMrkKIVyOxJkxFYk2YisSaEEJojyYTE8/umFAUhYBsumNi91+7mXB8AsPc\nhjHnnTnmnk62EecbR/D+YKKvRRN3J46YmzEEOwRziUv07NmTDRs2pGscT0/113r1nnnx9m11G0XR\nonDpEpQv/0pznDlz5ivdJ0RGSawJU5FYE6YisSaEENqj0cTEf9v7g5OSSFSUbFdjIsmQxPhj4+lU\nqRPLOyw393SyjZDDIfzR/g/QQd4382JX0Q7n9s58vOljbPQ2TJ8+HQuLtE8orVsHo0dDq1ZQqNA/\nL549C127grMzHDkCUhVcCCGEEEIIIbKcJhMTzx7l8E9IAMh2OyauBF7hXsQ9Nr6/EQudJkuBJJMY\nnEjQ3iB8J/liW8qWelfrYV3AGoCDBw9y+4vbnDt3jooVK6Y4xt27au7hyBHYsQM6dYIff/ynyKXB\nAD17qkc2du4EV1cTrUwIIYQQQgghtE2T73ifPcpxNy4OgFJ58phrOi847XeaDts7UCZ/GZqWbmru\n6ZhdyKEQLpS7wB33Ozg1cMLtshu6vDp27txJ//796dixIxUqVKBhw4YpjrF5M1SuDP37qyc0pk6F\n/fvh6eaKzZvhwQNYvDhTkhLBwcGvPYYQ6SGxJkxFYk2YisSaEEJojwYTEzp0uv86WvwWEUG5PHko\napN9ulzMOTuHPFZ5+H3A71hZaHJTCwD6aD13x9/lz85/4ljbkbcC36LWkVrYFLZh9OjR9OjRg6tX\nrzJ16lROnDiBTqd76TiXL6sJic6dITQU7tyBr776Z6dEQgIMGQKDBkH37lC/fqbMfeDAgZkyjhBp\nkVgTpiKxJkxFYk0IIbRHc+96LSzyJHsD6xUbS21HRzPOKLnvb3zPkbtH2P6/7ZTMW9Lc0zGbpPAk\nrjW9RpxPHKWnlcb1M1csHSy5du0ay5cvZ926dXz33Xe4u7unOs7jx2rOoXBh2LYNXsg/bd8Oa9fC\n6tUwePA/2YrXN2PGjEwZR4i0SKwJU5FYE6YisSaEENqjycTEsx4kJNDW2dlMs0lOURTcf3Gnbfm2\ndK3W1dzTMYuEwATCjoVxd9xdDFEGap+uTd4382I0GhkwYACbNm2iRIkSzJs3jxEjRqQ4jtEIK1fC\nF19AdLTageOFpMSDB2oFzKZN1V0Tmahu3bqZOp4QKZFYE6YisSZMRWJNCCG0R3OJCUtLu6e/VxSF\nB/HxuGaT+hJ3w+4SkRDB6DdHY2lhae7pmJRiVLg/7z6+k3wByNc8H5W2VMIn0gfPLZ6sWLGCCxcu\n0LlzZ/bs2YOVVeqh+9VXMGMGdOyo5hyqVQPCw9VtE//3f+DlBTdvgrW1Wl9CCCGEEEIIIYRZaC4x\nodP9l4SIMhiIMRopkQ3qSyiKwte/fY2tpS11XOqYezomZUww4jXAiyc7nlC4W2EqLK6AdVFr+vfv\nz9atWwGoUqUKJ06coGXLli/c7+MDvr7w8KH6cf262nVj+nQ1OQGAokDz5nDjBjRuDG5u0Lu3Wnii\nbFnTLVYIIYQQQgghRDKaK35paflfYiJMrweggLW1uabz1Ne/fc3m65tZ12kdxRyLmXs6JqEY1F0S\n513PE7Q3iCrbqlBtZzUsClnw+eefs3XrVoYNG0Z4eDg3b958ISkREQHt2kH58vDOO9C3L8yZo+Ye\npk5VExMALFwIJUuqn/j+e7Vn6Nq1MHYslCuXJWtbv359lowrxPMk1oSpSKwJU5FYE0II7dFcYuLZ\nHROxBgMA9hbm/Wv468lfrL6ymj41+9C7Zm+zzsVUDHEG7s+/j88EHwp/WJh6N+oRUjuEqVOnUq5c\nORYtWsSUKVNYuXIl+fLlS3ZvbCycPAnvvaeeyti+Hby9ISYGwoL0/Pn/7d15nE51/8fx12cGg8mS\nLKVCIorslW4pVERFixapbO1Ji6W6K5XcuZFEkUTRYqmUSLJky1KYkT3GIPsyjHUw2/f3x3W5f5OM\nZZo518yc9/Px8DDX9/qecz6Hz2Nmzuf6Lu9O5a0SA7Hnn4PGjaFLF2jQIHBQ69ae3F90dLQn1xFR\nrolXlGviFeWaiIj/+G4qR9oRE/uCIyaKnGa9gqzinGPCmgnc+8295AvPR6drOoUkDi8lrE1g7RNr\n2f/Lflyyo/jdxSndpzRNbmnCvHnzKFq0KPfccw8dO3akWrVq/zsuNTWwJETXrjB9OiQnQ9mygc00\nWrUKdjp8GGrWhRUrICICypULjIj44AN46qlM23HjTAwaNMiza4m/KdfEK8o18YpyTUTEf3xXmEg7\nYmJvsDBxnsdTORKSEojeHs3A3wby9aqvqV+mPp+0+IQKxSp4GofXjm4+SlTtKPKVzkeFgRU4WO4g\nX8z9go8u+Yj4+HgGDx5M+/btiYiI+MtxK1cGpmrs2AGRkfD229CkCVStCmFhQFwcfPcdfPJJoPPE\nidCsWfBNERERERERyc58V5hIuyvHpqNHCQeKe1iY+GndT7QY04LElEQK5SvEqLtG0erKVqc/MBfY\nM2kPKYdSqDGjBpMXTabl7S0pUKAAbdq04fnnn+fSSy/92zHffRdYCiIyEqZNg2uugUJxGwK7a/T4\nPVCIWLs20LlhQ/j228AcDxEREREREckRfFeYCAv7/xETSw8d4vLISPJ59Ml6qkul+8zulIwsycRW\nE6lasip5wvzxX5CckMz8LvOJbxDP0m+W0q9fP+rUqcPUqVMpXLjwSY/ZtQvatoWLL4axY6FKvhjo\nOQzeeSdQqahTB26+OTC/47bboGRJb29KRERERERE/jHfjXVPW5hYnZBA1chIz669cOtCFm1bxIBb\nBlDj/Bq+KErMmTmHRrUbUbxYce49fC+Pz3qcl156iVKlSjF06NB0ixKffw6XXw7588OPP0KVmPFQ\nqRIMGgSvvBKY1zFjBgwcCO3bZ7uiRPPmzUMdgviEck28olwTryjXRET8J/c/GZ8gbWFi3ZEj3FC0\nqGfXXrh1IRHhETSvlLt/4KakpLBixQp69+7N6NGjAXgk8hGuuf0aGvVuRNmyZQkPDz/psceOBdaq\nfPklR7vrYuh1TzTFhiyDTz8NzOOYMQMKFDjpsdlJx44dQx2C+IRyTbyiXBOvKNdERPzHt4WJwykp\nbEtMpIKHD7nLdi6jcvHKuXakRGpqKg8++CDff/89CQkJlC5Rmsd4jPYvt+fq/1yNpbMrxuHD8MMP\n8MscR/JX33JT3Bj25p/JObP2wCzgoosC0zb69MkRRQmAxo0bhzoE8QnlmnhFuSZeUa6JiPhP7nxC\nPoXjhYn1R44AeFKYSHWpvPfre3yx7As6X9s5y68XKnPmzGH06NF069aN+mXrE/FiBEWrF6X6C9VP\nWpT46afAlI1Jk6Dg/m30KfI2D+4fxJEqtSlw99NQr16gIFGsWAjuRkRERERERLzgw8JEoBCxzsPC\nxKCFg+g8tTNP1nmS7jd0z/Lrec05x7LfltGsSTOqnleV5t82J2ldEhFlIqg5pyZ5Cv89zaKjoWlT\nqHTBAVYVaEjp/dGwH3jtNQr06OH9TYiIiIiIiEhI+Hbxy6WHDlEoPJwSWbxV6Lq96+g2vRv3XHEP\ng28dTESeiCy9Xii0vastNa6tQXJiMp1KdqLkLSWpMq4KV6+5+n9FicOHYdky+P576N8f7r4brim3\nk9VJFSi9Ixq6dIFt2yCXFCXGjx8f6hDEJ5Rr4hXlmnhFuSYi4j++LUzM2LePxueem+66B5lhy4Et\ntBjTgmIFijGs+bAsu06oJCUl8dV/v+Kz8Z/RqnArdqzYwaOrHqXi+xUpcVcJwvOHExUV2NGzaFGo\nXh3uuCOwqUbp0vBti5HYoYOwfj307QsXXBDqW8o0xxf9FMlqyjXxinJNvKJcExHxHx9O5QgUJmKO\nHKFRFu7I4Zyj5kc1iUuI44dWP1A44uTbYuYkLtWxfe52Zn43k5XRKxmzcAwbjm7ggrwX0HlyZ4pV\n+etaEHv2wG23QfHi8N57ULMmlC8PpUqBJSdB5Y+gUSO45JIQ3VHWGTt2bKhDEJ9QrolXlGviFeWa\niIj/+LIwcSA5mR2JiVQsWDDLrjNu9TjiEuKY+uBUbr705iy7jld2jNzB+pfW88qOV5jFLCIsgvJF\nyvPWPW/x8scvEx7x9+0/P/ooUJyIjk4zGCIlBX6ZBy++GBgp8dVX3t6IiIiIiIiIZCu+LEysPHwY\ngIpZtPDlnoQ9PDXpKa4ve32OL0ok7Uti6/tbieoexehzRzOLWbz52pu8+sarhIX9fSaQc/DZZzB4\nMCxcCPffHyxKHD0Kb74Jw4ZBXBxUrRrYlqN2be9vSkRERERERLINHxYmCjBhzx5K5M1L9XPOyZJr\nLNq2iN0Ju5l6y9QsOb8XEtYmsOblNXz7/bdMTJnIMpYRcSSCIUOG8Nhjj6W7NsfHH8Pjj8Mtt8C3\n38LttxNY1PKZZ2D8eHj+ebjzTqhbF8L/PspCRERERERE/MWXi1+uO3KE6uecQ8RJPvH/p2ZsmMGz\nPz1LyciSVC1ZNdPP74U9S/bw+FWP03B8Q3qm9KTItUX4dMSnbN26lccffzzdosSKFdC5MzzyCEye\nHKg/5Pl5CpQrB9OmweefwzvvQL16ub4o0a5du1CHID6hXBOvKNfEK8o1ERH/8d2IifDw/Gw+epQq\nkZGZfm7nHI9OfJSi+YsytuVY8oTlvH/evVP30u7WdkxKnsTT7Z/m6W5PU6lSpVMec/AgjBoFnToF\nFrfs14/AWhKzZ0PLloHRERMnQpEi3txENtC4ceNQhyA+oVwTryjXxCvKNRER/8l5T87/kFl+diUl\n0SBv3kw/96jlo1gfv56fWv9EjfNrZPr5s1LyoWR2jNzB8E7DmZg6kQH9BtDphU6nPW7dOrj+eti+\nHRo0gB9+gMg8x+CmW2DWLChbFj791FdFCYBWrVqFOgTxCeWaeEW5Jl5RromI+I/vChMHUsPZcPQI\nlbNgR45ZG2dx6bmX0qRCk0w/d1ab13IeT015ilWs4sZGN/LkM0+m29c5mDsX5s8PbANapAjMmQMV\nKgBHjsBTHWHePPjxx8BiE+lM/RARERERERHx3RoTfx49CkDtQoUy9bzjVo1j+JLh3Fvl3kw9rxem\njJzCnVPuJDZPLD/++CPTpk8j7ylGlPznP4FREj17wuWXBxa5rFA+FYYPh4oVA9tyvPkmNG2qooSI\niIiIiIicku8KE9sSEwEon4lbhf4R9wdtv2/LvVXupWejnpl23qzmUhzbhm2j3WPtKG2liVocRdOm\nTdNd3BLg55/hrbega1fYtw9m9FvCFSO6Qa1agVUv69eH1avh5Zc9vJPsZ+7cuaEOQXxCuSZeUa6J\nV5RrIiL+47vCxOGUFPKYUTATd+ToM68P5+Q7hyG3DSHMcs4/6dIPl/Loo4+yPXE7L7zwAlWqV0m3\n7+7dgRESzZoF1pLoceNswju0DRQkPvwQKlcOVC1Gjw7O6fC3Pn36hDoE8QnlmnhFuSZeUa6JiPiP\n79aYSEhJoVB4+ClHBZyNyTGTGfH7CJ6s8yRF8xfNlHNmtdSUVMa1H8crn7/C1vCtdP93dx567aF0\n+69YAVdfDUlJ8ExHR+9b55D39lsC24B26QKvvuq7xS1PZ8yYMaEOQXxCuSZeUa6JV5RrIiL+47vC\nxOHUVM4JD//H50l1qfy07ifu/upuKp5XkXebvJsJ0WW9/Qv289L9LzFk0xAuKnIRMybN4Jp616Tb\n/5svjrL9yR6MT1lGw0s3kvfjjfDeYbjqqsCuG1mwiGhuUFD/LuIR5Zp4RbkmXlGuiYj4j+8KE8dH\nTGTUxDUT6Tu/L0t2LOFQ4iGuufAapj40lYg8EZkYZebbO20vsV1jWb90PUMZyl3X3cXXs78m7GRT\nWvbtIzl6GbMGLOXcCeNpyQwSGjQj75WNAqMkqlSBm2+GTJwOIyIiIiIiIv7ku8LEnuRkzs2T8dse\nuHAgWw5s4dX6r1L3orpcX/b6TJsWkhWObT1GbNdYdo3ZxbHqx+hXqR/h68P5cNyHfy1K7N0bWLBy\n6lTYuJE8wHVEEFeqCqmDv6PgXXeE7B5EREREREQk9/LdR97bjh3jsgwOEZy4ZiLT10/n3/X/zYvX\nvcgN5W7I1kWJuB/iWHj5QjZO38iI+iNovqo5MTtjmDp1KiVLloQZM+DZZ6FmTSheHDd8OBNSbuVB\nvqBJ6eWsWXSQi3ZEEaaixFnr2rVrqEMQn1CuiVeUa+IV5ZqIiP/4bsTEoZQUimZwxMSXy7+kYrGK\ndKjZIZOjyjzHth/jwIIDLOm5hG+WfMO0iGlsPLgRdsOTTz5J9+7dOb9UKfj8c3j4YZKKFmdFudtY\nVPdZBq1uRExcGT4YDnffrfUs/4kyZcqEOgTxCeWaeEW5Jl5RromI+I8550IdgyfMrBYQVfyTT+jY\nsCGvlyt3VsfH7o3lsg8u470m7/HMNc9kSYz/xN7pe1n37DoSViXwO7/T1bqSJ28eWrZsSdNbm1K3\nbl3Kly8PGzbAvffC4sVw112UXziG+EN5qVIlsMvnffdB06ahvhsRERERkawTHR1N7dq1AWo756JD\nHY+I3/luxMT+s1xjwjnHf+f+lwG/DaBo/qK0rtY6C6M7e8n7k9k+bDuxXWMp2qAoF752IW8PeZuK\nuyoyd+5cihUrBqmpsG4dTJgA77/PkTV/8vZ1M/l88Q38ucUYPx5atAj1nYiIiIiIiIgf+a4wkeQc\npfPlO+P+o5aP4t8z/k2b6m14o8EbFCtQLAujO3OJuxPZ1HsT2z7cRmpCKsVuLcbFIy+mSdMmLFmy\nhLFjxwaKEocPQ9u28M03ABzNV4jeiS8weFUD2raF+vVVlBAREREREZHQ8V1hAuCCiDPb2jN6ezRP\nTnqSlle05NMWn4Z0oUuX4tg3Zx+Hlx/m0LJD7B67Gwwuev4iSj9WmqRzk6hXrx6rVq1i9uuvU2/w\n4MDCllu2gBkH23Xixqkvsir+Ajp1NrZ2h/z5Q3Y7ud4ff/xB5cqVQx2G+IByTbyiXBOvKNdERPzH\nd7tyAFx4BiMmklOTeX3W65SMLMnHt38c8t03Yl+MZWmjpcR2i+VQ9CFKP12auhvqUr5nefbm2Uun\nTp1Yvnw53xUsSL3u3SElBR56CEaO5NiSVVw1fwC78pRm1Wrj7bdVlMhq3bp1C3UI4hPKNfGKck28\nolwTEfEf342YyB8WRpkzeCp/6LuHmBwzmc/u/Iyi+Yt6ENnJJR9KZnPfzWzpt4WSrUpS+bPKhOUJ\n1JNSUlLo0qULAwYMICJfPt4sVIjba9eGnj3hX/9i335jzBiY3B3WrIGoKNBC19744IMPQh2C+IRy\nTbyiXBOvKNdERPzHd4WJ8/PlI+w0ox/WxK1hzIoxDLl1CA9c+YBHkf1d4s5EFtdcTFJcEhd2upAK\n/StgYYHY4+Pjefzxxxk3bhxvvfoqT48fT5H4eBg4kNQqVzLoA3jjDThwAGrVgj59oGbNkN2K72ir\nM/GKck28olwTryjXRET8x3eFiVKnmcZxLPkYt466lcIRhbnr8rs8iurvDv5+kLWPriVpbxJ1fq9D\n5BWRAOzbt4/+/fvz3nvvkZyUxLgbbuCOQYMCi1zOns2xy67kkTbw5ZfQoQP06AEXXBCy2xARERER\nERE5Jd+tMVEyb95Tvj9x7URi42OZ3XY2JSJLeBTVX6Ump7K61WqS9yVT7cdq/ytKDB06lHLlytG3\nb18eveMO1kdGcsfMmfDII6z4ahWPDbuaiy+G0aNhxAj4+GMVJURERERERCR7811h4nQjJkYtH0Xl\n4pWpcX4NjyL6fwlrElj/ynp+K/8bR9YdodKwSpzb6Fxwjthp03i2Y0dqFCzI+ksv5Z3PPqNU4cK4\n+Qv4ps5/ubL5Jfz0U2Bn0OXL4eGHPQ9f0ujdu3eoQxCfUK6JV5Rr4hXlmoiI/2gqRxrOORZuXUir\nqq08jAj2/7qf2OdjOfDrAfIUzUOJ+0pQ+rHSFKpViPgpUxjdrh2vbt/O+cCoQoUoVecqtt7ZkX8v\nvosfm5cgLg7q14cZMyCP7/5Hs6eEhIRQhyA+oVwTryjXxCvKNRER/zHnXKhj8ISZ1QKi+k+fznM3\n3vi397cf3M5Nn9/Eqt2rmPHwDBpe0tCTuA4tPcSS65ZQoGIByrxchvNuP4/w/OEArPriC+5t04aV\nqancXKMG7w4eTfe+lZk1C+LjITISOneGq6+Gm2+GM9gFVURERETE96Kjo6lduzZAbedcdKjjEfE7\n332+HpnOkIL+v/ZnQ/wGZredzfVlr/cklu0jtrOu0zryl89PtcnVyFcqWFlwjnfq1+fFefMoky8f\nYz6awLb4JjRvHVjj8oUXoHp1qFsXSoRmGQwRERERERGRTOG7wkT+k2wVGrMnhncXvEvXf3X1rChx\ncMlB1rRbw3m3ncfloy4nT6Hgf8W+fbzUqBG9lyzhlpJXs7HgFO5vV5S8eaFFC+jVCypU8CREERER\nERERkSznu8UvC4SH/61t4G8DKRFZgpfrv5zl1z+2/Rh7Ju8hpmMMERdFcMXXV5CnUB5SU2HLzBiW\nlr2Ud5YsoUn+65m1fwGNmhVl/HiIi4Ovv1ZRIqeIi4sLdQjiE8o18YpyTbyiXBMR8R/fFSYiThgx\nkZCUwPdrvqdZhWYUjiicZdd1KY5NvTexoPQCljdbzuEVh7nkP5fg8oQzZw40q7uHgY0aU/fAXlKJ\nZHXJqUz/OYxBgwIjJQpnXWiSBdq3bx/qEMQnlGviFeWaeEW5JiLiP76byhER9tdazNTYqWw+sJnn\nr30+S653aMUh9k7ay46RO0hYnUCJ+0pQvld58pXJT9dOifzRcS6PHHyTS5lJX1JocdX1PNOrJzfe\nGJEl8Yg33njjjVCHID6hXBOvKNfEK8o1ERH/8XVhYu+RvXSb1o2LCl9ElRJVMv1aWz7Ywrpn1hEW\nGUaxxsWoPLIyhVNX49rewuFlsfTdt5XvgO5587HOGe9178Gzr72W6XGI92rVqhXqEMQnlGviFeWa\neEW5JiLiP74rTORPU5j4MeZHYvbGsPSJpdhJFsX8J5xzbOq1iVIPlaLSsEqE5QuDzz8n5eGH2QB0\n525WnhvDsvhlXF29Gr8NG0b16tUzNQYRERERERGR7M53a0zkSVOAmLFhBsUKFOPKkldm6jWcc2z7\ncBuJ2xI557bibJq/iQWvfcatbdoQiVERGM04Dhc7TM+ePflt0SIVJURERERERMSXfFeYOD4ywjnH\npJhJdKjZIdNHSyy4dikxT8ewnXiG3HcB9za8hHo92/Cjc4RbQxo0mMqaNVuIiYnhlVdeydRrS/Yw\nfPjwUIcgPqFcE68o18QryjUREf/xXWHiuKFRQ9l1eBe3X3Z7pp0z9VgqyzusJfG3fWwM/4IB3MXb\npBBR6Sr+89x/WRq1kQNJPzNz5s1cdtmFmV4QkewjOjo61CGITyjXxCvKNfGKck1ExH/MORfqGDxh\nZrWAqKioKGrVqkWjkY2IyBPB5NaTM+0aKx9bya6Pd5LK29zCz5S/8EJe69WLBx96KNOuISIiIiIi\n/0x0dDS1a9cGqO2cUzVMJMR8t/glwNxNc5nz5xwGNRuUOSfcuZPtr81l08cRrOdDRl2ylfMSSrEs\nNpaICG37KSIiIiIiIpIe3xUm4o/Ec9+Y+6hftj7tarb7R+dKPJDIpL7D+aX3lyxOCmMxCznCMS4N\nu5T+/furKCEiIiIiIiJyGr4rTMzaOIu9R/YyosUI8oXny9A5tn20jag3FtNlR1fWspZCnEMxq0yp\nC7oxddbDVKxYIZOjFhEREREREcmdfLf45bzN86hxfg3KFi17VsclH0xmwqAJ3FP6Luo+UZfmO1qw\njrUM4yLurzabVi8uYsnKHipKCADNmzcPdQjiE8o18YpyTbyiXBMR8R/fjZiYvXE279/4/hn3j1kS\nQ487e7DgzwXEEsvFXMy/wopj5zRk85GW1J11PR3+VSQLI5acqGPHjqEOQXxCuSZeUa6JV5RrIiL+\n47tdOXgMdvffTfGCxU/Zf+eYnWz+dDNNpjUhiSSaXtuUO/KG0/LXybzSZiMfjirCokVQubI38YuI\niIiISObQrhwi2YvvRkyUiCxx2qLE1sFbWfP0GnoVf5u9bi9z72hLvWVzYP16viv3HH2HFuH111WU\nEBEREREREfmnfFeYOLfAuem+l7g1gTVNprFnZRE+COvG9LgoPgeqTf+J7wu14ANasurYjUyYALff\n7l3MIiIiIiIiIrmV7xa/rFqi6t/aDq04xJ/PLWTxJVNZsHINHxTswnepUdSiNe8SxSV5tzK8zhDu\nH3YTq1abihJyWuPHjw91COITyjXxinJNvKJcExHxn2xTmDCzp81sg5kdMbNfzeyq0/RvYGZRZnbU\nzNaaWZszuU6nazr97+uUoyls+3gbi6svYtOA3UQnTecJXmZcwmbKlWtD+w+GMGp1LXbFhTFhAnTo\nAEW0zqWcgd69e4c6BPEJ5Zp4RbkmXlGuiYj4T7aYymFm9wH9gMeAhcDzwBQzu8w5F3eS/uWAH4DB\nwAPATcAwM9vmnJt2qmsViigEwJbRu4lptxo7lkphZvBLgYn0zr+Pyudfxfz58yhaNDwT71D8pkSJ\nEqEOQXxCuSZeUa6JV5RrIiL+ky0KEwQKER855z4DMLMngFuB9kCfk/R/EljvnOsWfL3GzK4LnueU\nhQlSUtg2dgWrHtgFLGclPXgz7AD7jyRTrWI1vvxymIoSIiIiIiIiIh4J+VQOM8sL1AZ+Pt7mAnuY\nTgeuTeewusH305pyiv7/E3PdGNbev5MkNtApvCudLZ47H2rNihUr+P3336la9e9rUIiIiIiIiIhI\n1sgOIyaKA+HAzhPadwKV0jnm/HT6F+L8O6wAAAqESURBVDazCOfcsfQuti+lBKuAMSWmselgOMsW\nRasYISIiIiIiIhIi2aEw4ZX8AMOrlaZR40KUiTpAq3ovkpiYSHR0dKhjk1xm4cKFyivxhHJNvKJc\nE68o18QLq1evPv5l/lDGISIBFpg1EcIAAlM5EoC7nXMT0rSPAIo45+48yTGzgSjn3Atp2toC/Z1z\n56ZznQeALzM3ehERERERycFaO+dGhToIEb8L+YgJ51ySmUUBNwITAMzMgq8HpnPYAqDpCW2Ng+3p\nmQK0BjYCR/9ByCIiIiIikrPlB8oReEYQkRAL+YgJADO7FxgBPMH/bxfaEqjsnNttZr2A0s65NsH+\n5YDlBLYL/YRAEeM9oJlz7sRFMUVEREREREQkmwr5iAkA59xXZlYc6AGUAn4Hmjjndge7nA9cnKb/\nRjO7FegPdAK2AB1UlBARERERERHJWbLFiAkRERERERER8aewUAcgIiIiIiIiIv6VawoTZva0mW0w\nsyNm9quZXXWa/g3MLMrMjprZWjNr41WskrOdTa6Z2Z1mNtXMdpnZfjObb2aNvYxXcq6z/b6W5rh6\nZpZkZtpvT85IBn6G5jOz/5jZxuDP0fXB3bFETikDudbazH43s8Nmts3MhptZMa/ilZzJzOqb2QQz\n22pmqWbW/AyO0bOBSAjlisKEmd0H9ANeB2oCS4EpwXUrTta/HPAD8DNQHRgADDOzm72IV3Kus801\n4HpgKoFdZGoBM4GJZlbdg3AlB8tArh0/rggwEtCaO3JGMphrXwMNgXbAZUArYE0Whyo5XAZ+X6tH\n4PvZx8AVBBZGvxoY6knAkpNFEliz7ingtPPW9WwgEnq5Yo0JM/sV+M0592zwtQGbgYHOuT4n6d8b\naOqcq5ambTRQxDnXzKOwJQc621xL5xwrgDHOuZ5ZF6nkdBnNteD3srVAKtDCOVfLi3gl58rAz9Bb\ngFFAeefcPk+DlRwtA7nWGXjCOVcxTVtHoJtzroxHYUsOZ2apwB3OuQmn6KNnA5EQy/EjJswsL1Cb\nQIUTABeotkwHrk3nsLr8/dPEKafoL5LRXDvxHAYUAvZmRYySO2Q018ysHXAJ8GZWxyi5QwZz7XZg\nMfCimW0xszVm1tfM8md5wJJjZTDXFgAXm1nT4DlKAfcAk7I2WvEhPRuIhFiOL0wAxYFwYOcJ7TsJ\nbDN6Muen07+wmUVkbniSi2Qk107UlcDwwq8yMS7Jfc4618ysIvA20No5l5q14UkukpHva+WB+kAV\n4A7gWQJD7AdlUYySO5x1rjnn5gMPAmPNLBHYDsQDHbMwTvEnPRuIhFhuKEyI5Ahm9gDwGnCPcy4u\n1PFI7mFmYcCXwOvOudjjzSEMSXK3MAJThR5wzi12zv0EvAC00S/wkpnM7AoCc/3fILBOUxMCo8I+\nCmFYIiKSBfKEOoBMEAekAKVOaC8F7EjnmB3p9D/gnDuWueFJLpKRXAPAzO4nsFhXS+fczKwJT3KR\ns821QkAdoIaZHf/UOozA7KFEoLFzblYWxSo5W0a+r20HtjrnDqVpW02gGHYREHvSo8TvMpJrLwHz\nnHPvBl+vMLOngF/M7BXn3ImfcItklJ4NREIsx4+YcM4lAVHAjcfbgvP4bwTmp3PYgrT9gxoH20VO\nKoO5hpm1AoYD9wc/WRQ5pQzk2gGgKlCDwGri1YEhwB/Br3/L4pAlh8rg97V5QGkzK5imrRKBURRb\nsihUyeEymGsFgeQT2lIJ7LKgUWGSmfRsIBJiOb4wEfQu8KiZPWxmlQn8Ql4QGAFgZr3MbGSa/kOA\n8mbW28wqBavvLYPnETmVs8q14PSNkUBnYJGZlQr+Kex96JLDnHGuuYBVaf8Au4CjzrnVzrkjIboH\nyRnO9mfoKGAP8KmZXW5m1wN9gOH6ZFFO42xzbSJwt5k9YWaXBLcPHUBgZ49TjlQUfzOzSDOrbmY1\ngk3lg68vDr6vZwORbCY3TOXAOfdVcA/sHgSGXf0ONHHO7Q52OR+4OE3/jWZ2K9Af6ETgE54OzrkT\nV+MV+YuzzTXgUQKLfQ3irwvDjQTaZ33EklNlINdEMiQDP0MPm9nNwPvAIgJFirEE1tARSVcGcm2k\nmZ0DPA28A+wjsKvHS54GLjlRHWAmgdE1DugXbD/++5eeDUSyGQvs1CQiIiIiIiIi4r3cMpVDRERE\nRERERHIgFSZEREREREREJGRUmBARERERERGRkFFhQkRERERERERCRoUJEREREREREQkZFSZERERE\nREREJGRUmBARERERERGRkFFhQkRERERERERCRoUJEREREREREQkZFSZERMR3zKysmaWaWbVQxyIi\nIiLidypMiIiIX7lQByAiIiIiKkyIiIh/WagDEBEREREVJkREJMTMbKaZvR/8s8/MdptZj1P0/9LM\nxpzQlid43IPB103M7BczizezODObaGblT3HOtmYWf0JbCzNLPUlblJkdMbN1ZtbdzMLTvP+Gmf1p\nZkfNbIuZvXe2/x4iIiIifqPChIiIZAcPA0nAVUAn4AUz65BO3y+B28ysYJq2W4ACwHfB15FAP6AW\n0AhISfPeyThOPrXjf21mVh8YCfQHKgOPA22Afwffbwk8BzwKVADuAJaf4poiIiIiAuQJdQAiIiLA\nZufcC8GvY4KLUj4PDD9J3ylAAnAngSIFQCtggnPuMIBz7tu0B5jZI8AuM7vCObcqgzF2B3o5574I\nvv7TzLoDfYC3gIuB7cDPzrkUYAuwOIPXEhEREfENjZgQEZHs4NcTXi8ALjOzl83sYPDPATO7KPjQ\n/xXQGiA4cqIFcLxggJlVMLNRZhZrZvuBDQRGP5T5BzFWB7qniecg8DFQyszyA18DBYENZjbUzO5I\nO81DRERERE5OIyZERCS7csAQYGyatm3Bv78EZplZcaAJgREUU9L0+4FAMeKR4DFhwEogXzrXSuXv\ni2HmPeH1OQRGTXx7QjvOuaPAFjO7DLgJuBkYBHQxsxuCxRQREREROQkVJkREJDu45oTX1wIxzrl4\nIP7Ezs65BWa2GbgfaAp8ffzh38yKAZcBHZxz84Jt153m+ruBQmZWwDl3JNhW84Q+0UAl59z69E7i\nnDsGTAImmdlg4A/gSuD301xfRERExLdUmBARkeygjJm9AwwFagMdCawxcSqjgSeAikDDNO3xwB7g\nMTPbAZQFenHyxS2P+43AqIteZjYQqEtgYcu0egATgwWRbwiMsqgOVHXOvWZmbYDwNOd6KPj3n6e5\nDxERERFf0xoTIiKSHXxGYFeNhcD7QH/n3LDTHPMlcDmwxTk3/3ijc84B9xEocCwnsDtHl5Mc79Ic\nEw88SGD0xbLg8a//pbNzU4HbCEzTWEhgHYzngI3BLvsI7MgxF1hKYDeQ24LnFhEREZF0WOD3NxER\nkdAws5nAkjS7coiIiIiIj2jEhIiIiIiIiIiEjAoTIiISahq6JyIiIuJjmsohIiIiIiIiIiGjERMi\nIiIiIiIiEjIqTIiIiIiIiIhIyKgwISIiIiIiIiIho8KEiIiIiIiIiISMChMiIiIiIiIiEjIqTIiI\niIiIiIhIyKgwISIiIiIiIiIho8KEiIiIiIiIiISMChMiIiIiIiIiEjL/B0wPNx7J8TWWAAAAAElF\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x8588860>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# KS for Norm(a, 1)\n",
"plt.figure(figsize=(10, 6))\n",
"for n in ns:\n",
" demo(n, m=1000, a=0.3,\n",
" cb_test=ks_test,\n",
" cb_alter=lambda n, a: np.random.normal(a, 1, n),\n",
" name_test='KS',\n",
" name_alter='Normal(a,1)')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* Графики, обозначенные $+$ в легенде — _p-value_ для выборки из стандартного нормального распределения $\\sim N(0, 1)$\n",
"* Графики, обозначенные $-$ в легенде — для альтернативного распределения\n",
"\n",
"***\n",
"\n",
"#### Задание 2\n",
"\n",
"* Нулевая гипотеза — стандартное нормальное распределение $N(0, 1)$, альтернатива — $N(a, 1)$\n",
"* Построить график зависимости мощности от объема выборки для критериев Колмогорова-Смирнова, омега-квадрат и Андерсона-Дарлинга при $\\alpha = 0.05$"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[+] Betademo KS for Normal(a,1) (a=0.3): OK\n",
"[+] Betademo CvM for Normal(a,1) (a=0.3): OK\n",
"[+] Betademo AD for Normal(a,1) (a=0.3): OK\n"
]
},
{
"data": {
"image/png": 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fqRKApaSlsHDzQvakO/XkxckUEhTiFIy2Jy4qjriwGBLyo2l6PJzG2SE0zAqm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\n3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G+++YZ169YV+K4ycN8e2aJFC9auXZvtfBS2TZfLRUREBJ999llW2cyZMzl27Bg///wz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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xb0f1828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 6))\n",
"\n",
"# beta distributions from KS-test for Norm(a, 1)\n",
"betademo(m=1000, a=0.3,\n",
" cb_test=ks_test,\n",
" cb_alter=lambda n, a: np.random.normal(a, 1, n),\n",
" name_test='KS',\n",
" name_alter='Normal(a,1)')\n",
"\n",
"# beta distributions from CvM-test for Norm(a, 1)\n",
"betademo(m=1000, a=0.3,\n",
" cb_test=cvm_test,\n",
" cb_alter=lambda n, a: np.random.normal(a, 1, n),\n",
" name_test='CvM',\n",
" name_alter='Normal(a,1)')\n",
"\n",
"# beta distributions from AD-test for Norm(a, 1)\n",
"betademo(m=1000, a=0.3,\n",
" cb_test=ad_test,\n",
" cb_alter=lambda n, a: np.random.normal(a, 1, n),\n",
" name_test='AD',\n",
" name_alter='Normal(a,1)')\n",
"\n",
"plt.title(r'$\\beta$'' distributions from (KS, CvM, AD)-tests for Normal(a,1) alternatives')\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"***\n",
"\n",
"#### Задание 3\n",
"\n",
"* Нулевая гипотеза - стандартное нормальное распределение $\\sim N(0, 1)$\n",
"* Для критерия омега-квадрат ($\\alpha = 0,05$) построить график зависимости мощности от объема выборки при следующих альтернативах:\n",
" - $N(a, 1)$\n",
" - $Cauchy$ — стандартное распределение Коши\n",
" - $U[-1,1]$"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[+] Betademo CvM for Normal(a, 1) (a=0.3): OK\n",
"[+] Betademo CvM for Cauchy (a=0): OK\n",
"[+] Betademo CvM for Uniform[-1, 1] (a=0): OK\n"
]
},
{
"data": {
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o8ttGREoXN9doiUTLzJkzOf/88/0OQyIlNRXuvRdeeME1Up85E0q5fYNyQELN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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x896d780>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 6))\n",
"\n",
"# beta distributions from CvM for Norm(a,1)\n",
"betademo(m=1000, a=0.3,\n",
" cb_test=cvm_test,\n",
" cb_alter=lambda n, a: np.random.normal(a, 1, n),\n",
" name_test='CvM',\n",
" name_alter='Normal(a, 1)')\n",
"\n",
"# beta distributions from CvM for Cauchy\n",
"betademo(m=1000, cb_test=cvm_test,\n",
" cb_alter=lambda n, a: np.random.standard_cauchy(n),\n",
" name_test='CvM',\n",
" name_alter='Cauchy')\n",
"\n",
"# beta distributions from CvM for Uniform[-1, 1]\n",
"betademo(m=1000, cb_test=cvm_test,\n",
" cb_alter=lambda n, a: np.random.uniform(-1, 1, n),\n",
" name_test='CvM',\n",
" name_alter='Uniform[-1, 1]')\n",
"\n",
"plt.title(r'$\\beta$'' distributions from CvM-tests for Normal(a,1), Cauchy and Uniform[-1,1] alternatives')\n",
"\n",
"plt.show()"
]
}
],
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