{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import math\n", "import random \n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from __future__ import division" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "random.seed(27)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "COLORS = ['red','black','yellow','green', 'purple']\n", "NEEDLE_LENGTH = 1.0\n", "\n", "def needle_orientation():\n", " '''\n", " Generate random center coordinates and angle of\n", " orientation for a random needle\n", " '''\n", "\n", " x_center, y_center = random.uniform(0,3), random.uniform(0,3)\n", " angle = random.random()*2*math.pi \n", "\n", " return x_center, y_center, angle\n", "\n", "def needle_construct_graph(L = NEEDLE_LENGTH, **mode):\n", " '''\n", " Given center coordinates and angle of orientation of needle construct\n", " needle end point coordinates by making projections on both axes\n", " and plot random needle of length 1 on grid\n", " '''\n", "\n", " xc, yc, theta = needle_orientation()\n", " x_origin = (xc - L/2)*math.cos(theta)\n", " y_origin = (yc - L/2)*math.sin(theta)\n", "\n", " x_end = (xc + L/2)*math.cos(theta)\n", " y_end = (yc + L/2)*math.sin(theta)\n", "\n", " for name, value in mode.items():\n", " if value is 'plot':\n", " plt.plot((x_origin, x_end), (y_origin, y_end), random.choice(COLORS))\n", " elif value is 'no_plot':\n", " pass\n", "\n", " return x_origin, x_end\n", "\n", "\n", "def plot_grid_lines(i):\n", " '''\n", " Plot vertical grid lines with a length of 1 between lines \n", " '''\n", " \n", " plt.axvline(x=i, ymin=0, ymax = 5, linewidth=2, color='blue')\n", "\n", "\n", "def needle_length(x1, y1, x2, y2):\n", " '''\n", " Check length of random is indeed 1\n", " '''\n", " \n", " return (math.pow(abs(y2-y1), 2) + math.pow(abs(x2-x1), 2))**0.5\n", "\n", "def collision_detection(x_origin, x_end, lines):\n", " '''\n", " Detect when a random needle crosses a grid line \n", " '''\n", " \n", " count = 0\n", " for line in lines:\n", " if (x_origin <= line and x_end >= line) or (x_origin >= line and x_end <= line):\n", " count += 1\n", " else:\n", " count += 0\n", "\n", " return count\n", "\n", "def calculate_pi(hits, pins, needle_length = NEEDLE_LENGTH):\n", " '''\n", " Calculate the value of pi\n", " '''\n", " \n", " return 2 * needle_length * (pins/hits)\n", "\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "hits : 7, trials: 10, estimate pi = 2.8571\n", "hits : 73, trials: 110, estimate pi = 3.0137\n", "hits : 136, trials: 210, estimate pi = 3.0882\n", "hits : 199, trials: 310, estimate pi = 3.1156\n", "hits : 281, trials: 410, estimate pi = 2.9181\n", "hits : 344, trials: 510, estimate pi = 2.9651\n", "hits : 385, trials: 610, estimate pi = 3.1688\n", "hits : 441, trials: 710, estimate pi = 3.2200\n", "hits : 515, trials: 810, estimate pi = 3.1456\n", "hits : 583, trials: 910, estimate pi = 3.1218\n", "hits : 664, trials: 1010, estimate pi = 3.0422\n", "hits : 704, trials: 1110, estimate pi = 3.1534\n", "hits : 793, trials: 1211, estimate pi = 3.0542\n", "hits : 845, trials: 1311, estimate pi = 3.1030\n", "hits : 912, trials: 1411, estimate pi = 3.0943\n", "hits : 962, trials: 1511, estimate pi = 3.1414\n", "hits : 1036, trials: 1611, estimate pi = 3.1100\n", "hits : 1121, trials: 1711, estimate pi = 3.0526\n", "hits : 1150, trials: 1811, estimate pi = 3.1496\n", "hits : 1229, trials: 1911, estimate pi = 3.1098\n", "hits : 1254, trials: 2011, estimate pi = 3.2073\n", "hits : 1382, trials: 2111, estimate pi = 3.0550\n", "hits : 1442, trials: 2211, estimate pi = 3.0666\n", "hits : 1482, trials: 2312, estimate pi = 3.1201\n", "hits : 1574, trials: 2412, estimate pi = 3.0648\n", "hits : 1618, trials: 2512, estimate pi = 3.1051\n", "hits : 1657, trials: 2612, estimate pi = 3.1527\n", "hits : 1755, trials: 2712, estimate pi = 3.0906\n", "hits : 1812, trials: 2812, estimate pi = 3.1038\n", "hits : 1870, trials: 2912, estimate pi = 3.1144\n", "hits : 1926, trials: 3012, estimate pi = 3.1277\n", "hits : 1987, trials: 3112, estimate pi = 3.1324\n", "hits : 2048, trials: 3212, estimate pi = 3.1367\n", "hits : 2157, trials: 3312, estimate pi = 3.0709\n", "hits : 2211, trials: 3413, estimate pi = 3.0873\n", "hits : 2226, trials: 3513, estimate pi = 3.1563\n", "hits : 2286, trials: 3613, estimate pi = 3.1610\n", "hits : 2422, trials: 3713, estimate pi = 3.0661\n", "hits : 2457, trials: 3813, estimate pi = 3.1038\n", "hits : 2517, trials: 3913, estimate pi = 3.1093\n", "hits : 2565, trials: 4013, estimate pi = 3.1290\n", "hits : 2590, trials: 4113, estimate pi = 3.1761\n", "hits : 2702, trials: 4213, estimate pi = 3.1184\n", "hits : 2777, trials: 4313, estimate pi = 3.1062\n", "hits : 2834, trials: 4413, estimate pi = 3.1143\n", "hits : 2886, trials: 4514, estimate pi = 3.1282\n", "hits : 2931, trials: 4614, estimate pi = 3.1484\n", "hits : 3068, trials: 4714, estimate pi = 3.0730\n", "hits : 3078, trials: 4814, estimate pi = 3.1280\n", "hits : 3166, trials: 4914, estimate pi = 3.1042\n", "hits : 3228, trials: 5014, estimate pi = 3.1066\n", "hits : 3256, trials: 5114, estimate pi = 3.1413\n", "hits : 3340, trials: 5214, estimate pi = 3.1222\n", "hits : 3412, trials: 5314, estimate pi = 3.1149\n", "hits : 3444, trials: 5414, estimate pi = 3.1440\n", "hits : 3470, trials: 5514, estimate pi = 3.1781\n", "hits : 3608, trials: 5615, estimate pi = 3.1125\n", "hits : 3717, trials: 5715, estimate pi = 3.0751\n", "hits : 3747, trials: 5815, estimate pi = 3.1038\n", "hits : 3861, trials: 5915, estimate pi = 3.0640\n", "hits : 3847, trials: 6015, estimate pi = 3.1271\n", "hits : 3924, trials: 6115, estimate pi = 3.1167\n", "hits : 4022, trials: 6215, estimate pi = 3.0905\n", "hits : 4050, trials: 6315, estimate pi = 3.1185\n", "hits : 4149, trials: 6415, estimate pi = 3.0923\n", "hits : 4177, trials: 6515, estimate pi = 3.1195\n", "hits : 4334, trials: 6615, estimate pi = 3.0526\n", "hits : 4264, trials: 6716, estimate pi = 3.1501\n", "hits : 4398, trials: 6816, estimate pi = 3.0996\n", "hits : 4381, trials: 6916, estimate pi = 3.1573\n", "hits : 4512, trials: 7016, estimate pi = 3.1099\n", "hits : 4564, trials: 7116, estimate pi = 3.1183\n", "hits : 4715, trials: 7216, estimate pi = 3.0609\n", "hits : 4752, trials: 7316, estimate pi = 3.0791\n", "hits : 4813, trials: 7416, estimate pi = 3.0817\n", "hits : 4861, trials: 7516, estimate pi = 3.0924\n", "hits : 4967, trials: 7616, estimate pi = 3.0666\n", "hits : 4990, trials: 7716, estimate pi = 3.0926\n", "hits : 5033, trials: 7817, estimate pi = 3.1063\n", "hits : 5090, trials: 7917, estimate pi = 3.1108\n", "hits : 5146, trials: 8017, estimate pi = 3.1158\n", "hits : 5276, trials: 8117, estimate pi = 3.0770\n", "hits : 5291, trials: 8217, estimate pi = 3.1060\n", "hits : 5369, trials: 8317, estimate pi = 3.0982\n", "hits : 5426, trials: 8417, estimate pi = 3.1025\n", "hits : 5455, trials: 8517, estimate pi = 3.1226\n", "hits : 5575, trials: 8617, estimate pi = 3.0913\n", "hits : 5692, trials: 8717, estimate pi = 3.0629\n", "hits : 5725, trials: 8817, estimate pi = 3.0802\n", "hits : 5721, trials: 8918, estimate pi = 3.1176\n", "hits : 5823, trials: 9018, estimate pi = 3.0974\n", "hits : 5866, trials: 9118, estimate pi = 3.1088\n", "hits : 5947, trials: 9218, estimate pi = 3.1001\n", "hits : 5994, trials: 9318, estimate pi = 3.1091\n", "hits : 5976, trials: 9418, estimate pi = 3.1519\n", "hits : 6115, trials: 9518, estimate pi = 3.1130\n", "hits : 6149, trials: 9618, estimate pi = 3.1283\n", "hits : 6220, trials: 9718, estimate pi = 3.1248\n", "hits : 6301, trials: 9818, estimate pi = 3.1163\n", "hits : 6303, trials: 9918, estimate pi = 3.1471\n", "hits : 6486, trials: 10019, estimate pi = 3.0894\n", "hits : 6510, trials: 10119, estimate pi = 3.1088\n", "hits : 6443, trials: 10219, estimate pi = 3.1721\n", "hits : 6630, trials: 10319, estimate pi = 3.1128\n", "hits : 6695, trials: 10419, estimate pi = 3.1125\n", "hits : 6688, trials: 10519, estimate pi = 3.1456\n", "hits : 6836, trials: 10619, estimate pi = 3.1068\n", "hits : 6863, trials: 10719, estimate pi = 3.1237\n", "hits : 6957, trials: 10819, estimate pi = 3.1102\n", "hits : 7040, trials: 10919, estimate pi = 3.1020\n", "hits : 7107, trials: 11019, estimate pi = 3.1009\n", "hits : 7039, trials: 11120, estimate pi = 3.1595\n", "hits : 7221, trials: 11220, estimate pi = 3.1076\n", "hits : 7269, trials: 11320, estimate pi = 3.1146\n", "hits : 7394, trials: 11420, estimate pi = 3.0890\n", "hits : 7413, trials: 11520, estimate pi = 3.1081\n", "hits : 7389, trials: 11620, estimate pi = 3.1452\n", "hits : 7544, trials: 11720, estimate pi = 3.1071\n", "hits : 7600, trials: 11820, estimate pi = 3.1105\n", "hits : 7742, trials: 11920, estimate pi = 3.0793\n", "hits : 7779, trials: 12020, estimate pi = 3.0904\n", "hits : 7787, trials: 12120, estimate pi = 3.1129\n", "hits : 7732, trials: 12220, estimate pi = 3.1609\n", "hits : 7877, trials: 12321, estimate pi = 3.1283\n", "hits : 7982, trials: 12421, estimate pi = 3.1123\n", "hits : 8067, trials: 12521, estimate pi = 3.1043\n", "hits : 8175, trials: 12621, estimate pi = 3.0877\n", "hits : 8183, trials: 12721, estimate pi = 3.1091\n", "hits : 8269, trials: 12821, estimate pi = 3.1010\n", "hits : 8329, trials: 12921, estimate pi = 3.1027\n", "hits : 8322, trials: 13021, estimate pi = 3.1293\n", "hits : 8492, trials: 13121, estimate pi = 3.0902\n", "hits : 8558, trials: 13221, estimate pi = 3.0897\n", "hits : 8542, trials: 13321, estimate pi = 3.1189\n", "hits : 8626, trials: 13422, estimate pi = 3.1120\n", "hits : 8752, trials: 13522, estimate pi = 3.0900\n", "hits : 8694, trials: 13622, estimate pi = 3.1337\n", "hits : 8638, trials: 13722, estimate pi = 3.1771\n", "hits : 8820, trials: 13822, estimate pi = 3.1342\n", "hits : 8880, trials: 13922, estimate pi = 3.1356\n", "hits : 9009, trials: 14022, estimate pi = 3.1129\n", "hits : 8986, trials: 14122, estimate pi = 3.1431\n", "hits : 9205, trials: 14222, estimate pi = 3.0901\n", "hits : 9304, trials: 14322, estimate pi = 3.0787\n", "hits : 9179, trials: 14422, estimate pi = 3.1424\n", "hits : 9209, trials: 14523, estimate pi = 3.1541\n", "hits : 9501, trials: 14623, estimate pi = 3.0782\n", "hits : 9508, trials: 14723, estimate pi = 3.0970\n", "hits : 9430, trials: 14823, estimate pi = 3.1438\n", "hits : 9546, trials: 14923, estimate pi = 3.1265\n", "hits : 9537, trials: 15023, estimate pi = 3.1505\n", "hits : 9744, trials: 15123, estimate pi = 3.1041\n", "hits : 9767, trials: 15223, estimate pi = 3.1172\n", "hits : 9806, trials: 15323, estimate pi = 3.1252\n", "hits : 9777, trials: 15423, estimate pi = 3.1550\n", "hits : 10084, trials: 15523, estimate pi = 3.0787\n", "hits : 10059, trials: 15624, estimate pi = 3.1065\n", "hits : 10117, trials: 15724, estimate pi = 3.1084\n", "hits : 10129, trials: 15824, estimate pi = 3.1245\n", "hits : 10330, trials: 15924, estimate pi = 3.0831\n", "hits : 10168, trials: 16024, estimate pi = 3.1518\n", "hits : 10463, trials: 16124, estimate pi = 3.0821\n", "hits : 10453, trials: 16224, estimate pi = 3.1042\n", "hits : 10514, trials: 16324, estimate pi = 3.1052\n", "hits : 10581, trials: 16424, estimate pi = 3.1044\n", "hits : 10613, trials: 16524, estimate pi = 3.1139\n", "hits : 10700, trials: 16624, estimate pi = 3.1073\n", "hits : 10749, trials: 16725, estimate pi = 3.1119\n", "hits : 10901, trials: 16825, estimate pi = 3.0869\n", "hits : 10822, trials: 16925, estimate pi = 3.1279\n", "hits : 10892, trials: 17025, estimate pi = 3.1261\n", "hits : 10958, trials: 17125, estimate pi = 3.1256\n", "hits : 11016, trials: 17225, estimate pi = 3.1273\n", "hits : 11139, trials: 17325, estimate pi = 3.1107\n", "hits : 11216, trials: 17425, estimate pi = 3.1072\n", "hits : 11269, trials: 17525, estimate pi = 3.1103\n", "hits : 11395, trials: 17625, estimate pi = 3.0935\n", "hits : 11379, trials: 17725, estimate pi = 3.1154\n", "hits : 11543, trials: 17826, estimate pi = 3.0886\n", "hits : 11500, trials: 17926, estimate pi = 3.1176\n", "hits : 11680, trials: 18026, estimate pi = 3.0866\n", "hits : 11736, trials: 18126, estimate pi = 3.0890\n", "hits : 11804, trials: 18226, estimate pi = 3.0881\n", "hits : 11789, trials: 18326, estimate pi = 3.1090\n", "hits : 11800, trials: 18426, estimate pi = 3.1231\n", "hits : 11910, trials: 18526, estimate pi = 3.1110\n", "hits : 12072, trials: 18626, estimate pi = 3.0858\n", "hits : 12044, trials: 18726, estimate pi = 3.1096\n", "hits : 11906, trials: 18826, estimate pi = 3.1624\n", "hits : 12231, trials: 18927, estimate pi = 3.0949\n", "hits : 12246, trials: 19027, estimate pi = 3.1075\n", "hits : 12347, trials: 19127, estimate pi = 3.0982\n", "hits : 12327, trials: 19227, estimate pi = 3.1195\n", "hits : 12442, trials: 19327, estimate pi = 3.1067\n", "hits : 12381, trials: 19427, estimate pi = 3.1382\n", "hits : 12619, trials: 19527, estimate pi = 3.0949\n", "hits : 12570, trials: 19627, estimate pi = 3.1228\n", "hits : 12698, trials: 19727, estimate pi = 3.1071\n", "hits : 12638, trials: 19827, estimate pi = 3.1377\n", "hits : 12750, trials: 19927, estimate pi = 3.1258\n", "hits : 12936, trials: 20028, estimate pi = 3.0965\n", "hits : 12966, trials: 20128, estimate pi = 3.1047\n", "hits : 13038, trials: 20228, estimate pi = 3.1029\n", "hits : 13040, trials: 20328, estimate pi = 3.1178\n", "hits : 13149, trials: 20428, estimate pi = 3.1072\n", "hits : 13016, trials: 20528, estimate pi = 3.1543\n", "hits : 13294, trials: 20628, estimate pi = 3.1034\n", "hits : 13170, trials: 20728, estimate pi = 3.1478\n", "hits : 13501, trials: 20828, estimate pi = 3.0854\n", "hits : 13561, trials: 20928, estimate pi = 3.0865\n", "hits : 13548, trials: 21028, estimate pi = 3.1042\n", "hits : 13564, trials: 21129, estimate pi = 3.1155\n", "hits : 13637, trials: 21229, estimate pi = 3.1134\n", "hits : 13769, trials: 21329, estimate pi = 3.0981\n", "hits : 13726, trials: 21429, estimate pi = 3.1224\n", "hits : 13858, trials: 21529, estimate pi = 3.1071\n", "hits : 13911, trials: 21629, estimate pi = 3.1096\n", "hits : 13768, trials: 21729, estimate pi = 3.1564\n", "hits : 13927, trials: 21829, estimate pi = 3.1348\n", "hits : 14093, trials: 21929, estimate pi = 3.1120\n", "hits : 14070, trials: 22029, estimate pi = 3.1313\n", "hits : 14230, trials: 22129, estimate pi = 3.1102\n", "hits : 14229, trials: 22230, estimate pi = 3.1246\n", "hits : 14297, trials: 22330, estimate pi = 3.1237\n", "hits : 14194, trials: 22430, estimate pi = 3.1605\n", "hits : 14365, trials: 22530, estimate pi = 3.1368\n", "hits : 14570, trials: 22630, estimate pi = 3.1064\n", "hits : 14559, trials: 22730, estimate pi = 3.1225\n", "hits : 14645, trials: 22830, estimate pi = 3.1178\n", "hits : 14751, trials: 22930, estimate pi = 3.1089\n", "hits : 14728, trials: 23030, estimate pi = 3.1274\n", "hits : 14808, trials: 23130, estimate pi = 3.1240\n", "hits : 14871, trials: 23230, estimate pi = 3.1242\n", "hits : 14911, trials: 23330, estimate pi = 3.1292\n", "hits : 15000, trials: 23431, estimate pi = 3.1241\n", "hits : 15145, trials: 23531, estimate pi = 3.1074\n", "hits : 15099, trials: 23631, estimate pi = 3.1301\n", "hits : 15265, trials: 23731, estimate pi = 3.1092\n", "hits : 15271, trials: 23831, estimate pi = 3.1211\n", "hits : 15263, trials: 23931, estimate pi = 3.1358\n", "hits : 15465, trials: 24031, estimate pi = 3.1078\n", "hits : 15500, trials: 24131, estimate pi = 3.1137\n", "hits : 15569, trials: 24231, estimate pi = 3.1127\n", "hits : 15638, trials: 24331, estimate pi = 3.1118\n", "hits : 15796, trials: 24431, estimate pi = 3.0933\n", "hits : 15694, trials: 24532, estimate pi = 3.1263\n", "hits : 15919, trials: 24632, estimate pi = 3.0947\n", "hits : 15922, trials: 24732, estimate pi = 3.1066\n", "hits : 15966, trials: 24832, estimate pi = 3.1106\n", "hits : 15959, trials: 24932, estimate pi = 3.1245\n", "hits : 16058, trials: 25032, estimate pi = 3.1177\n", "hits : 16184, trials: 25132, estimate pi = 3.1058\n", "hits : 16162, trials: 25232, estimate pi = 3.1224\n", "hits : 16321, trials: 25332, estimate pi = 3.1042\n", "hits : 16435, trials: 25432, estimate pi = 3.0949\n", "hits : 16440, trials: 25532, estimate pi = 3.1061\n", "hits : 16491, trials: 25633, estimate pi = 3.1087\n", "hits : 16520, trials: 25733, estimate pi = 3.1154\n", "hits : 16613, trials: 25833, estimate pi = 3.1100\n", "hits : 16707, trials: 25933, estimate pi = 3.1044\n", "hits : 16692, trials: 26033, estimate pi = 3.1192\n", "hits : 16915, trials: 26133, estimate pi = 3.0899\n", "hits : 16734, trials: 26233, estimate pi = 3.1353\n", "hits : 16819, trials: 26333, estimate pi = 3.1313\n", "hits : 17000, trials: 26433, estimate pi = 3.1098\n", "hits : 17104, trials: 26533, estimate pi = 3.1025\n", "hits : 17137, trials: 26633, estimate pi = 3.1082\n", "hits : 17141, trials: 26734, estimate pi = 3.1193\n", "hits : 17111, trials: 26834, estimate pi = 3.1365\n", "hits : 17458, trials: 26934, estimate pi = 3.0856\n", "hits : 17307, trials: 27034, estimate pi = 3.1241\n", "hits : 17276, trials: 27134, estimate pi = 3.1412\n", "hits : 17441, trials: 27234, estimate pi = 3.1230\n", "hits : 17464, trials: 27334, estimate pi = 3.1303\n", "hits : 17493, trials: 27434, estimate pi = 3.1366\n", "hits : 17661, trials: 27534, estimate pi = 3.1181\n", "hits : 17799, trials: 27634, estimate pi = 3.1051\n", "hits : 17871, trials: 27734, estimate pi = 3.1038\n", "hits : 17977, trials: 27835, estimate pi = 3.0967\n", "hits : 18135, trials: 27935, estimate pi = 3.0808\n", "hits : 17927, trials: 28035, estimate pi = 3.1277\n", "hits : 18164, trials: 28135, estimate pi = 3.0979\n", "hits : 18165, trials: 28235, estimate pi = 3.1087\n", "hits : 18198, trials: 28335, estimate pi = 3.1141\n", "hits : 18270, trials: 28435, estimate pi = 3.1128\n", "hits : 18394, trials: 28535, estimate pi = 3.1026\n", "hits : 18247, trials: 28635, estimate pi = 3.1386\n", "hits : 18465, trials: 28735, estimate pi = 3.1124\n", "hits : 18349, trials: 28835, estimate pi = 3.1430\n", "hits : 18476, trials: 28936, estimate pi = 3.1323\n", "hits : 18547, trials: 29036, estimate pi = 3.1311\n", "hits : 18744, trials: 29136, estimate pi = 3.1088\n", "hits : 18820, trials: 29236, estimate pi = 3.1069\n", "hits : 19034, trials: 29336, estimate pi = 3.0825\n", "hits : 18950, trials: 29436, estimate pi = 3.1067\n", "hits : 19070, trials: 29536, estimate pi = 3.0976\n", "hits : 18936, trials: 29636, estimate pi = 3.1301\n", "hits : 19160, trials: 29736, estimate pi = 3.1040\n", "hits : 19064, trials: 29836, estimate pi = 3.1301\n", "hits : 19186, trials: 29936, estimate pi = 3.1206\n", "hits : 19497, trials: 30037, estimate pi = 3.0812\n", "hits : 19504, trials: 30137, estimate pi = 3.0903\n", "hits : 19397, trials: 30237, estimate pi = 3.1177\n", "hits : 19471, trials: 30337, estimate pi = 3.1161\n", "hits : 19522, trials: 30437, estimate pi = 3.1182\n", "hits : 19676, trials: 30537, estimate pi = 3.1040\n", "hits : 19707, trials: 30637, estimate pi = 3.1093\n", "hits : 19821, trials: 30737, estimate pi = 3.1015\n", "hits : 19822, trials: 30837, estimate pi = 3.1114\n", "hits : 19972, trials: 30937, estimate pi = 3.0980\n", "hits : 19861, trials: 31037, estimate pi = 3.1254\n", "hits : 20044, trials: 31138, estimate pi = 3.1070\n", "hits : 20067, trials: 31238, estimate pi = 3.1134\n", "hits : 20018, trials: 31338, estimate pi = 3.1310\n", "hits : 20135, trials: 31438, estimate pi = 3.1227\n", "hits : 20374, trials: 31538, estimate pi = 3.0959\n", "hits : 20108, trials: 31638, estimate pi = 3.1468\n", "hits : 20455, trials: 31738, estimate pi = 3.1032\n", "hits : 20432, trials: 31838, estimate pi = 3.1165\n", "hits : 20548, trials: 31938, estimate pi = 3.1086\n", "hits : 20481, trials: 32038, estimate pi = 3.1286\n", "hits : 20598, trials: 32138, estimate pi = 3.1205\n", "hits : 20708, trials: 32239, estimate pi = 3.1137\n", "hits : 20759, trials: 32339, estimate pi = 3.1157\n", "hits : 20852, trials: 32439, estimate pi = 3.1114\n", "hits : 20857, trials: 32539, estimate pi = 3.1202\n", "hits : 20855, trials: 32639, estimate pi = 3.1301\n", "hits : 21107, trials: 32739, estimate pi = 3.1022\n", "hits : 21164, trials: 32839, estimate pi = 3.1033\n", "hits : 21166, trials: 32939, estimate pi = 3.1124\n", "hits : 21254, trials: 33039, estimate pi = 3.1090\n", "hits : 21227, trials: 33139, estimate pi = 3.1223\n", "hits : 21252, trials: 33239, estimate pi = 3.1281\n", "hits : 21521, trials: 33340, estimate pi = 3.0984\n", "hits : 21380, trials: 33440, estimate pi = 3.1282\n", "hits : 21575, trials: 33540, estimate pi = 3.1092\n", "hits : 21686, trials: 33640, estimate pi = 3.1025\n", "hits : 21538, trials: 33740, estimate pi = 3.1331\n", "hits : 21802, trials: 33840, estimate pi = 3.1043\n", "hits : 21766, trials: 33940, estimate pi = 3.1186\n", "hits : 21790, trials: 34040, estimate pi = 3.1244\n", "hits : 21829, trials: 34140, estimate pi = 3.1279\n", "hits : 21960, trials: 34240, estimate pi = 3.1184\n", "hits : 22081, trials: 34340, estimate pi = 3.1104\n", "hits : 22033, trials: 34440, estimate pi = 3.1262\n", "hits : 22231, trials: 34541, estimate pi = 3.1075\n", "hits : 22307, trials: 34641, estimate pi = 3.1058\n", "hits : 22460, trials: 34741, estimate pi = 3.0936\n", "hits : 22437, trials: 34841, estimate pi = 3.1057\n", "hits : 22405, trials: 34941, estimate pi = 3.1190\n", "hits : 22471, trials: 35041, estimate pi = 3.1188\n", "hits : 22625, trials: 35141, estimate pi = 3.1064\n", "hits : 22504, trials: 35241, estimate pi = 3.1320\n", "hits : 22794, trials: 35341, estimate pi = 3.1009\n", "hits : 22711, trials: 35441, estimate pi = 3.1210\n", "hits : 22885, trials: 35541, estimate pi = 3.1061\n", "hits : 22867, trials: 35642, estimate pi = 3.1173\n", "hits : 22910, trials: 35742, estimate pi = 3.1202\n", "hits : 22960, trials: 35842, estimate pi = 3.1221\n", "hits : 22956, trials: 35942, estimate pi = 3.1314\n", "hits : 22987, trials: 36042, estimate pi = 3.1359\n", "hits : 23118, trials: 36142, estimate pi = 3.1267\n", "hits : 23307, trials: 36242, estimate pi = 3.1100\n", "hits : 23308, trials: 36342, estimate pi = 3.1184\n", "hits : 23344, trials: 36442, estimate pi = 3.1222\n", "hits : 23574, trials: 36542, estimate pi = 3.1002\n", "hits : 23502, trials: 36642, estimate pi = 3.1182\n", "hits : 23606, trials: 36743, estimate pi = 3.1130\n", "hits : 23787, trials: 36843, estimate pi = 3.0977\n", "hits : 23669, trials: 36943, estimate pi = 3.1216\n", "hits : 23927, trials: 37043, estimate pi = 3.0963\n", "hits : 23756, trials: 37143, estimate pi = 3.1270\n", "hits : 23675, trials: 37243, estimate pi = 3.1462\n", "hits : 23874, trials: 37343, estimate pi = 3.1283\n", "hits : 24108, trials: 37443, estimate pi = 3.1063\n", "hits : 24288, trials: 37543, estimate pi = 3.0915\n", "hits : 24098, trials: 37643, estimate pi = 3.1242\n", "hits : 24387, trials: 37743, estimate pi = 3.0953\n", "hits : 24250, trials: 37844, estimate pi = 3.1212\n", "hits : 24349, trials: 37944, estimate pi = 3.1167\n", "hits : 24359, trials: 38044, estimate pi = 3.1236\n", "hits : 24371, trials: 38144, estimate pi = 3.1303\n", "hits : 24512, trials: 38244, estimate pi = 3.1204\n", "hits : 24518, trials: 38344, estimate pi = 3.1278\n", "hits : 24613, trials: 38444, estimate pi = 3.1239\n", "hits : 24577, trials: 38544, estimate pi = 3.1366\n", "hits : 24824, trials: 38644, estimate pi = 3.1134\n", "hits : 24812, trials: 38744, estimate pi = 3.1230\n", "hits : 24816, trials: 38844, estimate pi = 3.1306\n", "hits : 24913, trials: 38945, estimate pi = 3.1265\n", "hits : 25110, trials: 39045, estimate pi = 3.1099\n", "hits : 25148, trials: 39145, estimate pi = 3.1132\n", "hits : 25115, trials: 39245, estimate pi = 3.1252\n", "hits : 25152, trials: 39345, estimate pi = 3.1286\n", "hits : 25395, trials: 39445, estimate pi = 3.1065\n", "hits : 25487, trials: 39545, estimate pi = 3.1032\n", "hits : 25453, trials: 39645, estimate pi = 3.1152\n", "hits : 25411, trials: 39745, estimate pi = 3.1282\n", "hits : 25503, trials: 39845, estimate pi = 3.1247\n", "hits : 25639, trials: 39945, estimate pi = 3.1160\n", "hits : 25664, trials: 40046, estimate pi = 3.1208\n", "hits : 25767, trials: 40146, estimate pi = 3.1161\n", "hits : 25805, trials: 40246, estimate pi = 3.1192\n", "hits : 26000, trials: 40346, estimate pi = 3.1035\n", "hits : 25976, trials: 40446, estimate pi = 3.1141\n", "hits : 25985, trials: 40546, estimate pi = 3.1207\n", "hits : 25966, trials: 40646, estimate pi = 3.1307\n", "hits : 26174, trials: 40746, estimate pi = 3.1135\n", "hits : 26304, trials: 40846, estimate pi = 3.1057\n", "hits : 26176, trials: 40946, estimate pi = 3.1285\n", "hits : 26345, trials: 41046, estimate pi = 3.1160\n", "hits : 26341, trials: 41147, estimate pi = 3.1242\n", "hits : 26473, trials: 41247, estimate pi = 3.1162\n", "hits : 26635, trials: 41347, estimate pi = 3.1047\n", "hits : 26763, trials: 41447, estimate pi = 3.0973\n", "hits : 26631, trials: 41547, estimate pi = 3.1202\n", "hits : 26728, trials: 41647, estimate pi = 3.1164\n", "hits : 26985, trials: 41747, estimate pi = 3.0941\n", "hits : 26941, trials: 41847, estimate pi = 3.1066\n", "hits : 26720, trials: 41947, estimate pi = 3.1397\n", "hits : 26855, trials: 42047, estimate pi = 3.1314\n", "hits : 27258, trials: 42147, estimate pi = 3.0924\n", "hits : 27097, trials: 42248, estimate pi = 3.1183\n", "hits : 27338, trials: 42348, estimate pi = 3.0981\n", "hits : 27242, trials: 42448, estimate pi = 3.1164\n", "hits : 27007, trials: 42548, estimate pi = 3.1509\n", "hits : 27512, trials: 42648, estimate pi = 3.1003\n", "hits : 27561, trials: 42748, estimate pi = 3.1021\n", "hits : 27478, trials: 42848, estimate pi = 3.1187\n", "hits : 27718, trials: 42948, estimate pi = 3.0989\n", "hits : 27903, trials: 43048, estimate pi = 3.0855\n", "hits : 27687, trials: 43148, estimate pi = 3.1168\n", "hits : 27775, trials: 43248, estimate pi = 3.1142\n", "hits : 27966, trials: 43349, estimate pi = 3.1001\n", "hits : 27871, trials: 43449, estimate pi = 3.1179\n", "hits : 27970, trials: 43549, estimate pi = 3.1140\n", "hits : 27924, trials: 43649, estimate pi = 3.1263\n", "hits : 28145, trials: 43749, estimate pi = 3.1088\n", "hits : 28350, trials: 43849, estimate pi = 3.0934\n", "hits : 28006, trials: 43949, estimate pi = 3.1385\n", "hits : 28344, trials: 44049, estimate pi = 3.1082\n", "hits : 28271, trials: 44149, estimate pi = 3.1233\n", "hits : 28455, trials: 44249, estimate pi = 3.1101\n", "hits : 28565, trials: 44349, estimate pi = 3.1051\n", "hits : 28506, trials: 44450, estimate pi = 3.1186\n", "hits : 28775, trials: 44550, estimate pi = 3.0964\n", "hits : 28660, trials: 44650, estimate pi = 3.1158\n", "hits : 28901, trials: 44750, estimate pi = 3.0968\n", "hits : 28761, trials: 44850, estimate pi = 3.1188\n", "hits : 28766, trials: 44950, estimate pi = 3.1252\n", "hits : 28991, trials: 45050, estimate pi = 3.1079\n", "hits : 29128, trials: 45150, estimate pi = 3.1001\n", "hits : 29029, trials: 45250, estimate pi = 3.1176\n", "hits : 29274, trials: 45350, estimate pi = 3.0983\n", "hits : 29270, trials: 45450, estimate pi = 3.1056\n", "hits : 29329, trials: 45550, estimate pi = 3.1061\n", "hits : 29324, trials: 45651, estimate pi = 3.1136\n", "hits : 29350, trials: 45751, estimate pi = 3.1176\n", "hits : 29221, trials: 45851, estimate pi = 3.1382\n", "hits : 29546, trials: 45951, estimate pi = 3.1105\n", "hits : 29455, trials: 46051, estimate pi = 3.1269\n", "hits : 29599, trials: 46151, estimate pi = 3.1184\n", "hits : 29667, trials: 46251, estimate pi = 3.1180\n", "hits : 29736, trials: 46351, estimate pi = 3.1175\n", "hits : 29618, trials: 46451, estimate pi = 3.1367\n", "hits : 29953, trials: 46551, estimate pi = 3.1083\n", "hits : 29887, trials: 46651, estimate pi = 3.1218\n", "hits : 30030, trials: 46752, estimate pi = 3.1137\n", "hits : 30064, trials: 46852, estimate pi = 3.1168\n", "hits : 30198, trials: 46952, estimate pi = 3.1096\n", "hits : 30151, trials: 47052, estimate pi = 3.1211\n", "hits : 30374, trials: 47152, estimate pi = 3.1048\n", "hits : 30203, trials: 47252, estimate pi = 3.1290\n", "hits : 30504, trials: 47352, estimate pi = 3.1046\n", "hits : 30496, trials: 47452, estimate pi = 3.1120\n", "hits : 30486, trials: 47552, estimate pi = 3.1196\n", "hits : 30422, trials: 47652, estimate pi = 3.1327\n", "hits : 30642, trials: 47752, estimate pi = 3.1168\n", "hits : 30988, trials: 47853, estimate pi = 3.0885\n", "hits : 30813, trials: 47953, estimate pi = 3.1125\n", "hits : 30764, trials: 48053, estimate pi = 3.1240\n", "hits : 30866, trials: 48153, estimate pi = 3.1201\n", "hits : 30977, trials: 48253, estimate pi = 3.1154\n", "hits : 31117, trials: 48353, estimate pi = 3.1078\n", "hits : 31049, trials: 48453, estimate pi = 3.1211\n", "hits : 31218, trials: 48553, estimate pi = 3.1106\n", "hits : 31417, trials: 48653, estimate pi = 3.0972\n", "hits : 31292, trials: 48753, estimate pi = 3.1160\n", "hits : 31322, trials: 48853, estimate pi = 3.1194\n", "hits : 31256, trials: 48954, estimate pi = 3.1325\n", "hits : 31555, trials: 49054, estimate pi = 3.1091\n", "hits : 31643, trials: 49154, estimate pi = 3.1068\n", "hits : 31688, trials: 49254, estimate pi = 3.1087\n", "hits : 31715, trials: 49354, estimate pi = 3.1123\n", "hits : 31812, trials: 49454, estimate pi = 3.1091\n", "hits : 31821, trials: 49554, estimate pi = 3.1145\n", "hits : 31845, trials: 49654, estimate pi = 3.1185\n", "hits : 31920, trials: 49754, estimate pi = 3.1174\n", "hits : 31976, trials: 49854, estimate pi = 3.1182\n", "hits : 32056, trials: 49954, estimate pi = 3.1167\n", "hits : 32352, trials: 50055, estimate pi = 3.0944\n", "hits : 32197, trials: 50155, estimate pi = 3.1155\n", "hits : 32464, trials: 50255, estimate pi = 3.0960\n", "hits : 32371, trials: 50355, estimate pi = 3.1111\n", "hits : 32634, trials: 50455, estimate pi = 3.0922\n", "hits : 32394, trials: 50555, estimate pi = 3.1213\n", "hits : 32675, trials: 50655, estimate pi = 3.1005\n", "hits : 32641, trials: 50755, estimate pi = 3.1099\n", "hits : 32528, trials: 50855, estimate pi = 3.1268\n", "hits : 32850, trials: 50955, estimate pi = 3.1023\n", "hits : 32947, trials: 51055, estimate pi = 3.0992\n", "hits : 32777, trials: 51156, estimate pi = 3.1215\n", "hits : 33015, trials: 51256, estimate pi = 3.1050\n", "hits : 32732, trials: 51356, estimate pi = 3.1380\n", "hits : 33164, trials: 51456, estimate pi = 3.1031\n", "hits : 33304, trials: 51556, estimate pi = 3.0961\n", "hits : 33183, trials: 51656, estimate pi = 3.1134\n", "hits : 33122, trials: 51756, estimate pi = 3.1252\n", "hits : 33237, trials: 51856, estimate pi = 3.1204\n", "hits : 33224, trials: 51956, estimate pi = 3.1276\n", "hits : 33583, trials: 52056, estimate pi = 3.1001\n", "hits : 33517, trials: 52156, estimate pi = 3.1122\n", "hits : 33409, trials: 52257, estimate pi = 3.1283\n", "hits : 33552, trials: 52357, estimate pi = 3.1209\n", "hits : 33722, trials: 52457, estimate pi = 3.1111\n", "hits : 33692, trials: 52557, estimate pi = 3.1199\n", "hits : 33582, trials: 52657, estimate pi = 3.1360\n", "hits : 34031, trials: 52757, estimate pi = 3.1005\n", "hits : 33895, trials: 52857, estimate pi = 3.1189\n", "hits : 33941, trials: 52957, estimate pi = 3.1205\n", "hits : 34215, trials: 53057, estimate pi = 3.1014\n", "hits : 34001, trials: 53157, estimate pi = 3.1268\n", "hits : 34385, trials: 53257, estimate pi = 3.0977\n", "hits : 34233, trials: 53358, estimate pi = 3.1173\n", "hits : 34451, trials: 53458, estimate pi = 3.1034\n", "hits : 34157, trials: 53558, estimate pi = 3.1360\n", "hits : 34553, trials: 53658, estimate pi = 3.1058\n", "hits : 34629, trials: 53758, estimate pi = 3.1048\n", "hits : 34556, trials: 53858, estimate pi = 3.1171\n", "hits : 34785, trials: 53958, estimate pi = 3.1024\n", "hits : 34847, trials: 54058, estimate pi = 3.1026\n", "hits : 34846, trials: 54158, estimate pi = 3.1084\n", "hits : 34915, trials: 54258, estimate pi = 3.1080\n", "hits : 34813, trials: 54358, estimate pi = 3.1229\n", "hits : 34994, trials: 54459, estimate pi = 3.1125\n", "hits : 34997, trials: 54559, estimate pi = 3.1179\n", "hits : 35184, trials: 54659, estimate pi = 3.1070\n", "hits : 35151, trials: 54759, estimate pi = 3.1156\n", "hits : 35117, trials: 54859, estimate pi = 3.1244\n", "hits : 35432, trials: 54959, estimate pi = 3.1022\n", "hits : 35535, trials: 55059, estimate pi = 3.0989\n", "hits : 35517, trials: 55159, estimate pi = 3.1061\n", "hits : 35309, trials: 55259, estimate pi = 3.1300\n", "hits : 35519, trials: 55359, estimate pi = 3.1171\n", "hits : 35575, trials: 55459, estimate pi = 3.1179\n", "hits : 35687, trials: 55560, estimate pi = 3.1137\n", "hits : 35734, trials: 55660, estimate pi = 3.1152\n", "hits : 35866, trials: 55760, estimate pi = 3.1094\n", "hits : 35957, trials: 55860, estimate pi = 3.1070\n", "hits : 35943, trials: 55960, estimate pi = 3.1138\n", "hits : 36174, trials: 56060, estimate pi = 3.0995\n", "hits : 36118, trials: 56160, estimate pi = 3.1098\n", "hits : 36196, trials: 56260, estimate pi = 3.1086\n", "hits : 36212, trials: 56360, estimate pi = 3.1128\n", "hits : 36147, trials: 56460, estimate pi = 3.1239\n", "hits : 36148, trials: 56560, estimate pi = 3.1294\n", "hits : 36199, trials: 56660, estimate pi = 3.1305\n", "hits : 36514, trials: 56761, estimate pi = 3.1090\n", "hits : 36487, trials: 56861, estimate pi = 3.1168\n", "hits : 36808, trials: 56961, estimate pi = 3.0950\n", "hits : 36911, trials: 57061, estimate pi = 3.0918\n", "hits : 36761, trials: 57161, estimate pi = 3.1099\n", "hits : 36707, trials: 57261, estimate pi = 3.1199\n", "hits : 37036, trials: 57361, estimate pi = 3.0976\n", "hits : 36836, trials: 57461, estimate pi = 3.1198\n", "hits : 37084, trials: 57561, estimate pi = 3.1044\n", "hits : 36868, trials: 57661, estimate pi = 3.1280\n", "hits : 36846, trials: 57761, estimate pi = 3.1353\n", "hits : 37054, trials: 57862, estimate pi = 3.1231\n", "hits : 37187, trials: 57962, estimate pi = 3.1173\n", "hits : 37425, trials: 58062, estimate pi = 3.1028\n", "hits : 37380, trials: 58162, estimate pi = 3.1119\n", "hits : 37299, trials: 58262, estimate pi = 3.1241\n", "hits : 37323, trials: 58362, estimate pi = 3.1274\n", "hits : 37524, trials: 58462, estimate pi = 3.1160\n", "hits : 37528, trials: 58562, estimate pi = 3.1210\n", "hits : 37669, trials: 58662, estimate pi = 3.1146\n", "hits : 37871, trials: 58762, estimate pi = 3.1033\n", "hits : 37978, trials: 58862, estimate pi = 3.0998\n", "hits : 38003, trials: 58963, estimate pi = 3.1031\n", "hits : 37869, trials: 59063, estimate pi = 3.1193\n", "hits : 38081, trials: 59163, estimate pi = 3.1072\n", "hits : 38011, trials: 59263, estimate pi = 3.1182\n", "hits : 38139, trials: 59363, estimate pi = 3.1130\n", "hits : 38202, trials: 59463, estimate pi = 3.1131\n", "hits : 38397, trials: 59563, estimate pi = 3.1025\n", "hits : 38462, trials: 59663, estimate pi = 3.1024\n", "hits : 38274, trials: 59763, estimate pi = 3.1229\n", "hits : 38409, trials: 59863, estimate pi = 3.1171\n", "hits : 38414, trials: 59963, estimate pi = 3.1219\n", "hits : 38538, trials: 60064, estimate pi = 3.1171\n", "hits : 38404, trials: 60164, estimate pi = 3.1332\n", "hits : 38645, trials: 60264, estimate pi = 3.1189\n", "hits : 38710, trials: 60364, estimate pi = 3.1188\n", "hits : 38825, trials: 60464, estimate pi = 3.1147\n", "hits : 38982, trials: 60564, estimate pi = 3.1073\n", "hits : 38958, trials: 60664, estimate pi = 3.1143\n", "hits : 38980, trials: 60764, estimate pi = 3.1177\n", "hits : 38763, trials: 60864, estimate pi = 3.1403\n", "hits : 39223, trials: 60964, estimate pi = 3.1086\n", "hits : 39102, trials: 61064, estimate pi = 3.1233\n", "hits : 39096, trials: 61165, estimate pi = 3.1290\n", "hits : 39433, trials: 61265, estimate pi = 3.1073\n", "hits : 39466, trials: 61365, estimate pi = 3.1098\n", "hits : 39419, trials: 61465, estimate pi = 3.1185\n", "hits : 39478, trials: 61565, estimate pi = 3.1190\n", "hits : 39487, trials: 61665, estimate pi = 3.1233\n", "hits : 39992, trials: 61765, estimate pi = 3.0889\n", "hits : 39822, trials: 61865, estimate pi = 3.1071\n", "hits : 39834, trials: 61965, estimate pi = 3.1112\n", "hits : 39860, trials: 62065, estimate pi = 3.1141\n", "hits : 39963, trials: 62165, estimate pi = 3.1111\n", "hits : 39925, trials: 62266, estimate pi = 3.1191\n", "hits : 40097, trials: 62366, estimate pi = 3.1108\n", "hits : 40115, trials: 62466, estimate pi = 3.1143\n", "hits : 40377, trials: 62566, estimate pi = 3.0991\n", "hits : 40111, trials: 62666, estimate pi = 3.1246\n", "hits : 40265, trials: 62766, estimate pi = 3.1176\n", "hits : 40361, trials: 62866, estimate pi = 3.1152\n", "hits : 40231, trials: 62966, estimate pi = 3.1302\n", "hits : 40518, trials: 63066, estimate pi = 3.1130\n", "hits : 40554, trials: 63166, estimate pi = 3.1152\n", "hits : 40362, trials: 63266, estimate pi = 3.1349\n", "hits : 40803, trials: 63367, estimate pi = 3.1060\n", "hits : 40830, trials: 63467, estimate pi = 3.1088\n", "hits : 40947, trials: 63567, estimate pi = 3.1048\n", "hits : 40813, trials: 63667, estimate pi = 3.1199\n", "hits : 41069, trials: 63767, estimate pi = 3.1054\n", "hits : 41089, trials: 63867, estimate pi = 3.1087\n", "hits : 41122, trials: 63967, estimate pi = 3.1111\n", "hits : 41247, trials: 64067, estimate pi = 3.1065\n", "hits : 41285, trials: 64167, estimate pi = 3.1085\n", "hits : 41023, trials: 64267, estimate pi = 3.1332\n", "hits : 41359, trials: 64367, estimate pi = 3.1126\n", "hits : 41239, trials: 64468, estimate pi = 3.1266\n", "hits : 41426, trials: 64568, estimate pi = 3.1173\n", "hits : 41589, trials: 64668, estimate pi = 3.1099\n", "hits : 41516, trials: 64768, estimate pi = 3.1201\n", "hits : 41648, trials: 64868, estimate pi = 3.1151\n", "hits : 41565, trials: 64968, estimate pi = 3.1261\n", "hits : 41764, trials: 65068, estimate pi = 3.1160\n", "hits : 41815, trials: 65168, estimate pi = 3.1170\n", "hits : 41955, trials: 65268, estimate pi = 3.1113\n", "hits : 42026, trials: 65368, estimate pi = 3.1108\n", "hits : 42169, trials: 65468, estimate pi = 3.1050\n", "hits : 42276, trials: 65569, estimate pi = 3.1019\n", "hits : 42060, trials: 65669, estimate pi = 3.1226\n", "hits : 42317, trials: 65769, estimate pi = 3.1084\n", "hits : 42639, trials: 65869, estimate pi = 3.0896\n", "hits : 42457, trials: 65969, estimate pi = 3.1076\n", "hits : 42530, trials: 66069, estimate pi = 3.1069\n", "hits : 42506, trials: 66169, estimate pi = 3.1134\n", "hits : 42726, trials: 66269, estimate pi = 3.1020\n", "hits : 42659, trials: 66369, estimate pi = 3.1116\n", "hits : 42416, trials: 66469, estimate pi = 3.1341\n", "hits : 42768, trials: 66569, estimate pi = 3.1130\n", "hits : 42947, trials: 66670, estimate pi = 3.1048\n", "hits : 43012, trials: 66770, estimate pi = 3.1047\n", "hits : 42834, trials: 66870, estimate pi = 3.1223\n", "hits : 42973, trials: 66970, estimate pi = 3.1168\n", "hits : 42978, trials: 67070, estimate pi = 3.1211\n", "hits : 43191, trials: 67170, estimate pi = 3.1104\n", "hits : 43067, trials: 67270, estimate pi = 3.1240\n", "hits : 43381, trials: 67370, estimate pi = 3.1060\n", "hits : 43358, trials: 67470, estimate pi = 3.1122\n", "hits : 43343, trials: 67570, estimate pi = 3.1179\n", "hits : 43532, trials: 67670, estimate pi = 3.1090\n", "hits : 43676, trials: 67770, estimate pi = 3.1033\n", "hits : 43337, trials: 67871, estimate pi = 3.1322\n", "hits : 43445, trials: 67971, estimate pi = 3.1291\n", "hits : 43786, trials: 68071, estimate pi = 3.1093\n", "hits : 43824, trials: 68171, estimate pi = 3.1111\n", "hits : 44006, trials: 68271, estimate pi = 3.1028\n", "hits : 43983, trials: 68371, estimate pi = 3.1090\n", "hits : 43841, trials: 68471, estimate pi = 3.1236\n", "hits : 44043, trials: 68571, estimate pi = 3.1138\n", "hits : 44264, trials: 68671, estimate pi = 3.1028\n", "hits : 44336, trials: 68771, estimate pi = 3.1023\n", "hits : 44292, trials: 68871, estimate pi = 3.1099\n", "hits : 44303, trials: 68972, estimate pi = 3.1136\n", "hits : 44507, trials: 69072, estimate pi = 3.1039\n", "hits : 44522, trials: 69172, estimate pi = 3.1073\n", "hits : 44614, trials: 69272, estimate pi = 3.1054\n", "hits : 44687, trials: 69372, estimate pi = 3.1048\n", "hits : 44447, trials: 69472, estimate pi = 3.1261\n", "hits : 44634, trials: 69572, estimate pi = 3.1174\n", "hits : 44724, trials: 69672, estimate pi = 3.1156\n", "hits : 44737, trials: 69772, estimate pi = 3.1192\n", "hits : 44942, trials: 69872, estimate pi = 3.1094\n", "hits : 44739, trials: 69972, estimate pi = 3.1280\n", "hits : 45076, trials: 70073, estimate pi = 3.1091\n", "hits : 45040, trials: 70173, estimate pi = 3.1160\n", "hits : 45296, trials: 70273, estimate pi = 3.1028\n", "hits : 45176, trials: 70373, estimate pi = 3.1155\n", "hits : 45115, trials: 70473, estimate pi = 3.1241\n", "hits : 45378, trials: 70573, estimate pi = 3.1104\n", "hits : 45726, trials: 70673, estimate pi = 3.0912\n", "hits : 45644, trials: 70773, estimate pi = 3.1011\n", "hits : 45333, trials: 70873, estimate pi = 3.1268\n", "hits : 45489, trials: 70973, estimate pi = 3.1204\n", "hits : 45567, trials: 71073, estimate pi = 3.1195\n", "hits : 45924, trials: 71174, estimate pi = 3.0996\n", "hits : 45805, trials: 71274, estimate pi = 3.1121\n", "hits : 45702, trials: 71374, estimate pi = 3.1235\n", "hits : 45723, trials: 71474, estimate pi = 3.1264\n", "hits : 46013, trials: 71574, estimate pi = 3.1110\n", "hits : 45935, trials: 71674, estimate pi = 3.1207\n", "hits : 46075, trials: 71774, estimate pi = 3.1155\n", "hits : 46345, trials: 71874, estimate pi = 3.1017\n", "hits : 46231, trials: 71974, estimate pi = 3.1137\n", "hits : 46285, trials: 72074, estimate pi = 3.1144\n", "hits : 46357, trials: 72174, estimate pi = 3.1138\n", "hits : 46300, trials: 72275, estimate pi = 3.1220\n", "hits : 46478, trials: 72375, estimate pi = 3.1144\n", "hits : 46776, trials: 72475, estimate pi = 3.0988\n", "hits : 46674, trials: 72575, estimate pi = 3.1099\n", "hits : 46563, trials: 72675, estimate pi = 3.1216\n", "hits : 46744, trials: 72775, estimate pi = 3.1138\n", "hits : 46883, trials: 72875, estimate pi = 3.1088\n", "hits : 46988, trials: 72975, estimate pi = 3.1061\n", "hits : 46581, trials: 73075, estimate pi = 3.1375\n", "hits : 47151, trials: 73175, estimate pi = 3.1039\n", "hits : 47184, trials: 73275, estimate pi = 3.1059\n", "hits : 47312, trials: 73376, estimate pi = 3.1018\n", "hits : 47030, trials: 73476, estimate pi = 3.1246\n", "hits : 47254, trials: 73576, estimate pi = 3.1141\n", "hits : 47260, trials: 73676, estimate pi = 3.1179\n", "hits : 47226, trials: 73776, estimate pi = 3.1244\n", "hits : 47391, trials: 73876, estimate pi = 3.1177\n", "hits : 47675, trials: 73976, estimate pi = 3.1033\n", "hits : 47516, trials: 74076, estimate pi = 3.1179\n", "hits : 47671, trials: 74176, estimate pi = 3.1120\n", "hits : 47950, trials: 74276, estimate pi = 3.0981\n", "hits : 47781, trials: 74376, estimate pi = 3.1132\n", "hits : 48070, trials: 74477, estimate pi = 3.0987\n", "hits : 47806, trials: 74577, estimate pi = 3.1200\n", "hits : 47844, trials: 74677, estimate pi = 3.1217\n", "hits : 47992, trials: 74777, estimate pi = 3.1162\n", "hits : 48091, trials: 74877, estimate pi = 3.1140\n", "hits : 48271, trials: 74977, estimate pi = 3.1065\n", "hits : 48190, trials: 75077, estimate pi = 3.1159\n", "hits : 48430, trials: 75177, estimate pi = 3.1046\n", "hits : 48374, trials: 75277, estimate pi = 3.1123\n", "hits : 48215, trials: 75377, estimate pi = 3.1267\n", "hits : 48198, trials: 75477, estimate pi = 3.1320\n", "hits : 48730, trials: 75578, estimate pi = 3.1019\n", "hits : 48476, trials: 75678, estimate pi = 3.1223\n", "hits : 48725, trials: 75778, estimate pi = 3.1104\n", "hits : 48865, trials: 75878, estimate pi = 3.1056\n", "hits : 48836, trials: 75978, estimate pi = 3.1116\n", "hits : 48801, trials: 76078, estimate pi = 3.1179\n", "hits : 49019, trials: 76178, estimate pi = 3.1081\n", "hits : 49056, trials: 76278, estimate pi = 3.1098\n", "hits : 48738, trials: 76378, estimate pi = 3.1342\n", "hits : 49214, trials: 76478, estimate pi = 3.1080\n", "hits : 49278, trials: 76578, estimate pi = 3.1080\n", "hits : 49199, trials: 76679, estimate pi = 3.1171\n", "hits : 48990, trials: 76779, estimate pi = 3.1345\n", "hits : 49530, trials: 76879, estimate pi = 3.1043\n", "hits : 49406, trials: 76979, estimate pi = 3.1162\n", "hits : 49441, trials: 77079, estimate pi = 3.1180\n", "hits : 49652, trials: 77179, estimate pi = 3.1088\n", "hits : 49671, trials: 77279, estimate pi = 3.1116\n", "hits : 49709, trials: 77379, estimate pi = 3.1133\n", "hits : 49896, trials: 77479, estimate pi = 3.1056\n", "hits : 49866, trials: 77579, estimate pi = 3.1115\n", "hits : 49846, trials: 77679, estimate pi = 3.1168\n", "hits : 50097, trials: 77780, estimate pi = 3.1052\n", "hits : 50177, trials: 77880, estimate pi = 3.1042\n", "hits : 50131, trials: 77980, estimate pi = 3.1110\n", "hits : 50042, trials: 78080, estimate pi = 3.1206\n", "hits : 50278, trials: 78180, estimate pi = 3.1099\n", "hits : 50201, trials: 78280, estimate pi = 3.1187\n", "hits : 50378, trials: 78380, estimate pi = 3.1117\n", "hits : 50514, trials: 78480, estimate pi = 3.1073\n", "hits : 50531, trials: 78580, estimate pi = 3.1102\n", "hits : 50490, trials: 78680, estimate pi = 3.1167\n", "hits : 50579, trials: 78780, estimate pi = 3.1151\n", "hits : 50928, trials: 78880, estimate pi = 3.0977\n", "hits : 50757, trials: 78981, estimate pi = 3.1121\n", "hits : 50660, trials: 79081, estimate pi = 3.1220\n", "hits : 50692, trials: 79181, estimate pi = 3.1240\n", "hits : 50792, trials: 79281, estimate pi = 3.1218\n", "hits : 50991, trials: 79381, estimate pi = 3.1135\n", "hits : 51125, trials: 79481, estimate pi = 3.1093\n", "hits : 51096, trials: 79581, estimate pi = 3.1150\n", "hits : 51336, trials: 79681, estimate pi = 3.1043\n", "hits : 51044, trials: 79781, estimate pi = 3.1260\n", "hits : 51228, trials: 79881, estimate pi = 3.1186\n", "hits : 51212, trials: 79981, estimate pi = 3.1235\n", "hits : 51426, trials: 80082, estimate pi = 3.1145\n", "hits : 51521, trials: 80182, estimate pi = 3.1126\n", "hits : 51391, trials: 80282, estimate pi = 3.1244\n", "hits : 51698, trials: 80382, estimate pi = 3.1097\n", "hits : 51780, trials: 80482, estimate pi = 3.1086\n", "hits : 51823, trials: 80582, estimate pi = 3.1099\n", "hits : 51701, trials: 80682, estimate pi = 3.1211\n", "hits : 51740, trials: 80782, estimate pi = 3.1226\n", "hits : 51925, trials: 80882, estimate pi = 3.1153\n", "hits : 51821, trials: 80982, estimate pi = 3.1255\n", "hits : 51911, trials: 81082, estimate pi = 3.1239\n", "hits : 51818, trials: 81183, estimate pi = 3.1334\n", "hits : 52259, trials: 81283, estimate pi = 3.1108\n", "hits : 52132, trials: 81383, estimate pi = 3.1222\n", "hits : 52170, trials: 81483, estimate pi = 3.1237\n", "hits : 52418, trials: 81583, estimate pi = 3.1128\n", "hits : 52265, trials: 81683, estimate pi = 3.1257\n", "hits : 52728, trials: 81783, estimate pi = 3.1021\n", "hits : 52570, trials: 81883, estimate pi = 3.1152\n", "hits : 52625, trials: 81983, estimate pi = 3.1157\n", "hits : 52621, trials: 82083, estimate pi = 3.1198\n", "hits : 52355, trials: 82183, estimate pi = 3.1395\n", "hits : 52712, trials: 82284, estimate pi = 3.1220\n", "hits : 52861, trials: 82384, estimate pi = 3.1170\n", "hits : 52732, trials: 82484, estimate pi = 3.1284\n", "hits : 53299, trials: 82584, estimate pi = 3.0989\n", "hits : 52984, trials: 82684, estimate pi = 3.1211\n", "hits : 53192, trials: 82784, estimate pi = 3.1126\n", "hits : 53071, trials: 82884, estimate pi = 3.1235\n", "hits : 53215, trials: 82984, estimate pi = 3.1188\n", "hits : 53344, trials: 83084, estimate pi = 3.1150\n", "hits : 53317, trials: 83184, estimate pi = 3.1204\n", "hits : 53476, trials: 83284, estimate pi = 3.1148\n", "hits : 53706, trials: 83385, estimate pi = 3.1052\n", "hits : 53795, trials: 83485, estimate pi = 3.1038\n", "hits : 53606, trials: 83585, estimate pi = 3.1185\n", "hits : 53731, trials: 83685, estimate pi = 3.1150\n", "hits : 53709, trials: 83785, estimate pi = 3.1200\n", "hits : 53874, trials: 83885, estimate pi = 3.1141\n", "hits : 54054, trials: 83985, estimate pi = 3.1074\n", "hits : 53925, trials: 84085, estimate pi = 3.1186\n", "hits : 54181, trials: 84185, estimate pi = 3.1075\n", "hits : 54104, trials: 84285, estimate pi = 3.1157\n", "hits : 54530, trials: 84385, estimate pi = 3.0950\n", "hits : 54413, trials: 84486, estimate pi = 3.1054\n", "hits : 54173, trials: 84586, estimate pi = 3.1228\n", "hits : 54558, trials: 84686, estimate pi = 3.1044\n", "hits : 54383, trials: 84786, estimate pi = 3.1181\n", "hits : 54398, trials: 84886, estimate pi = 3.1209\n", "hits : 54666, trials: 84986, estimate pi = 3.1093\n", "hits : 54544, trials: 85086, estimate pi = 3.1199\n", "hits : 54816, trials: 85186, estimate pi = 3.1081\n", "hits : 54483, trials: 85286, estimate pi = 3.1307\n", "hits : 54551, trials: 85386, estimate pi = 3.1305\n", "hits : 55068, trials: 85486, estimate pi = 3.1047\n", "hits : 54833, trials: 85587, estimate pi = 3.1217\n", "hits : 55141, trials: 85687, estimate pi = 3.1079\n", "hits : 55133, trials: 85787, estimate pi = 3.1120\n", "hits : 55274, trials: 85887, estimate pi = 3.1077\n", "hits : 55361, trials: 85987, estimate pi = 3.1064\n", "hits : 55233, trials: 86087, estimate pi = 3.1172\n", "hits : 55415, trials: 86187, estimate pi = 3.1106\n", "hits : 55285, trials: 86287, estimate pi = 3.1215\n", "hits : 55495, trials: 86387, estimate pi = 3.1133\n", "hits : 55599, trials: 86487, estimate pi = 3.1111\n", "hits : 55698, trials: 86587, estimate pi = 3.1092\n", "hits : 55849, trials: 86688, estimate pi = 3.1044\n", "hits : 55573, trials: 86788, estimate pi = 3.1234\n", "hits : 55678, trials: 86888, estimate pi = 3.1211\n", "hits : 56055, trials: 86988, estimate pi = 3.1037\n", "hits : 55871, trials: 87088, estimate pi = 3.1175\n", "hits : 56070, trials: 87188, estimate pi = 3.1100\n", "hits : 56118, trials: 87288, estimate pi = 3.1109\n", "hits : 56242, trials: 87388, estimate pi = 3.1076\n", "hits : 56298, trials: 87488, estimate pi = 3.1080\n", "hits : 56340, trials: 87588, estimate pi = 3.1093\n", "hits : 56129, trials: 87688, estimate pi = 3.1245\n", "hits : 56501, trials: 87789, estimate pi = 3.1075\n", "hits : 56379, trials: 87889, estimate pi = 3.1178\n", "hits : 56296, trials: 87989, estimate pi = 3.1259\n", "hits : 56653, trials: 88089, estimate pi = 3.1098\n", "hits : 56588, trials: 88189, estimate pi = 3.1169\n", "hits : 56444, trials: 88289, estimate pi = 3.1284\n", "hits : 56730, trials: 88389, estimate pi = 3.1161\n", "hits : 56751, trials: 88489, estimate pi = 3.1185\n", "hits : 56925, trials: 88589, estimate pi = 3.1125\n", "hits : 56970, trials: 88689, estimate pi = 3.1135\n", "hits : 57053, trials: 88789, estimate pi = 3.1125\n", "hits : 57262, trials: 88890, estimate pi = 3.1047\n", "hits : 57049, trials: 88990, estimate pi = 3.1198\n", "hits : 57325, trials: 89090, estimate pi = 3.1082\n", "hits : 57386, trials: 89190, estimate pi = 3.1084\n", "hits : 57592, trials: 89290, estimate pi = 3.1008\n", "hits : 57267, trials: 89390, estimate pi = 3.1219\n", "hits : 57555, trials: 89490, estimate pi = 3.1097\n", "hits : 57541, trials: 89590, estimate pi = 3.1140\n", "hits : 57640, trials: 89690, estimate pi = 3.1121\n", "hits : 57794, trials: 89790, estimate pi = 3.1072\n", "hits : 57703, trials: 89890, estimate pi = 3.1156\n", "hits : 57868, trials: 89990, estimate pi = 3.1102\n", "hits : 57838, trials: 90091, estimate pi = 3.1153\n", "hits : 57688, trials: 90191, estimate pi = 3.1269\n", "hits : 57923, trials: 90291, estimate pi = 3.1176\n", "hits : 58096, trials: 90391, estimate pi = 3.1118\n", "hits : 57988, trials: 90491, estimate pi = 3.1210\n", "hits : 58210, trials: 90591, estimate pi = 3.1126\n", "hits : 58041, trials: 90691, estimate pi = 3.1251\n", "hits : 58247, trials: 90791, estimate pi = 3.1174\n", "hits : 58283, trials: 90891, estimate pi = 3.1190\n", "hits : 58358, trials: 90991, estimate pi = 3.1184\n", "hits : 58510, trials: 91091, estimate pi = 3.1137\n", "hits : 58634, trials: 91192, estimate pi = 3.1106\n", "hits : 58825, trials: 91292, estimate pi = 3.1039\n", "hits : 58657, trials: 91392, estimate pi = 3.1161\n", "hits : 58595, trials: 91492, estimate pi = 3.1229\n", "hits : 58992, trials: 91592, estimate pi = 3.1052\n", "hits : 59135, trials: 91692, estimate pi = 3.1011\n", "hits : 59212, trials: 91792, estimate pi = 3.1005\n", "hits : 59147, trials: 91892, estimate pi = 3.1072\n", "hits : 59159, trials: 91992, estimate pi = 3.1100\n", "hits : 59164, trials: 92092, estimate pi = 3.1131\n", "hits : 58919, trials: 92192, estimate pi = 3.1294\n", "hits : 59236, trials: 92293, estimate pi = 3.1161\n", "hits : 59497, trials: 92393, estimate pi = 3.1058\n", "hits : 59350, trials: 92493, estimate pi = 3.1169\n", "hits : 59162, trials: 92593, estimate pi = 3.1302\n", "hits : 59515, trials: 92693, estimate pi = 3.1149\n", "hits : 59682, trials: 92793, estimate pi = 3.1096\n", "hits : 59648, trials: 92893, estimate pi = 3.1147\n", "hits : 59595, trials: 92993, estimate pi = 3.1208\n", "hits : 59815, trials: 93093, estimate pi = 3.1127\n", "hits : 59642, trials: 93193, estimate pi = 3.1251\n", "hits : 59798, trials: 93293, estimate pi = 3.1203\n", "hits : 60054, trials: 93394, estimate pi = 3.1103\n", "hits : 60206, trials: 93494, estimate pi = 3.1058\n", "hits : 60022, trials: 93594, estimate pi = 3.1187\n", "hits : 59887, trials: 93694, estimate pi = 3.1290\n", "hits : 60165, trials: 93794, estimate pi = 3.1179\n", "hits : 60131, trials: 93894, estimate pi = 3.1230\n", "hits : 60357, trials: 93994, estimate pi = 3.1146\n", "hits : 60383, trials: 94094, estimate pi = 3.1166\n", "hits : 60536, trials: 94194, estimate pi = 3.1120\n", "hits : 60630, trials: 94294, estimate pi = 3.1105\n", "hits : 60582, trials: 94394, estimate pi = 3.1162\n", "hits : 60362, trials: 94495, estimate pi = 3.1309\n", "hits : 60615, trials: 94595, estimate pi = 3.1212\n", "hits : 60759, trials: 94695, estimate pi = 3.1171\n", "hits : 60774, trials: 94795, estimate pi = 3.1196\n", "hits : 61029, trials: 94895, estimate pi = 3.1098\n", "hits : 61127, trials: 94995, estimate pi = 3.1081\n", "hits : 60842, trials: 95095, estimate pi = 3.1260\n", "hits : 61160, trials: 95195, estimate pi = 3.1130\n", "hits : 61155, trials: 95295, estimate pi = 3.1165\n", "hits : 60988, trials: 95395, estimate pi = 3.1283\n", "hits : 61552, trials: 95495, estimate pi = 3.1029\n", "hits : 61392, trials: 95596, estimate pi = 3.1143\n", "hits : 61533, trials: 95696, estimate pi = 3.1104\n", "hits : 61601, trials: 95796, estimate pi = 3.1102\n", "hits : 61773, trials: 95896, estimate pi = 3.1048\n", "hits : 61620, trials: 95996, estimate pi = 3.1157\n", "hits : 61715, trials: 96096, estimate pi = 3.1142\n", "hits : 61653, trials: 96196, estimate pi = 3.1206\n", "hits : 61754, trials: 96296, estimate pi = 3.1187\n", "hits : 62085, trials: 96396, estimate pi = 3.1053\n", "hits : 61749, trials: 96496, estimate pi = 3.1254\n", "hits : 61998, trials: 96596, estimate pi = 3.1161\n", "hits : 61976, trials: 96697, estimate pi = 3.1205\n", "hits : 62147, trials: 96797, estimate pi = 3.1151\n", "hits : 62124, trials: 96897, estimate pi = 3.1195\n", "hits : 62164, trials: 96997, estimate pi = 3.1207\n", "hits : 62536, trials: 97097, estimate pi = 3.1053\n", "hits : 62197, trials: 97197, estimate pi = 3.1255\n", "hits : 62695, trials: 97297, estimate pi = 3.1038\n", "hits : 62275, trials: 97397, estimate pi = 3.1280\n", "hits : 62653, trials: 97497, estimate pi = 3.1123\n", "hits : 62805, trials: 97597, estimate pi = 3.1079\n", "hits : 62770, trials: 97697, estimate pi = 3.1129\n", "hits : 62734, trials: 97798, estimate pi = 3.1179\n", "hits : 62966, trials: 97898, estimate pi = 3.1096\n", "hits : 62845, trials: 97998, estimate pi = 3.1187\n", "hits : 63099, trials: 98098, estimate pi = 3.1093\n", "hits : 63018, trials: 98198, estimate pi = 3.1165\n", "hits : 63058, trials: 98298, estimate pi = 3.1177\n", "hits : 63190, trials: 98398, estimate pi = 3.1144\n", "hits : 63260, trials: 98498, estimate pi = 3.1141\n", "hits : 63374, trials: 98598, estimate pi = 3.1116\n", "hits : 63413, trials: 98698, estimate pi = 3.1129\n", "hits : 63239, trials: 98798, estimate pi = 3.1246\n", "hits : 63784, trials: 98899, estimate pi = 3.1011\n", "hits : 63666, trials: 98999, estimate pi = 3.1099\n", "hits : 63825, trials: 99099, estimate pi = 3.1053\n", "hits : 63678, trials: 99199, estimate pi = 3.1156\n", "hits : 64064, trials: 99299, estimate pi = 3.1000\n", "hits : 63926, trials: 99399, estimate pi = 3.1098\n", "hits : 63675, trials: 99499, estimate pi = 3.1252\n", "hits : 63871, trials: 99599, estimate pi = 3.1188\n", "hits : 63876, trials: 99699, estimate pi = 3.1216\n", "hits : 64093, trials: 99799, estimate pi = 3.1142\n", "hits : 64066, trials: 99899, estimate pi = 3.1186\n", "hits : 64286, trials: 100000, estimate pi = 3.1111\n" ] } ], "source": [ "pi_list = []\n", "\n", "# trials = [10, 100, 1000, 10000, 50000, 100000] # different number of trials\n", "# trials = list(int(np.linspace(10,100000, 1000))) # different number of trials\n", "trials = [int(i) for i in list(np.linspace(10,100000, 1000))]\n", "vlines = range(-4,4)\n", "\n", "for pins in trials:\n", " hits = 0\n", " for pin in xrange(pins): \n", " origin, end = needle_construct_graph(mode = 'no_plot')\n", " hits += collision_detection(origin, end, vlines)\n", " pi_list.append(calculate_pi(hits, pins)) \n", " print 'hits : %d, trials: %d, estimate pi = %1.4F' %(hits, pins, calculate_pi(hits, pins)) \n", " " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAZcAAAEZCAYAAABb3GilAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsfXfYZEWV/vtOYoYgWXIGCSogCAYMMwZEFCMqZgwr7q6I\n", "kd+Kobm6LmsWcVUWlSRBERQTqMAMiiKIyyiKCRAkCJLzMDDf+f1Rt6arqyve0N3fN/d9nn76hgrn\n", "1q1bp06oUxQRdOjQoUOHDk1i1rgJ6NChQ4cOMw8dc+nQoUOHDo2jYy4dOnTo0KFxdMylQ4cOHTo0\n", "jo65dOjQoUOHxtExlw4dOnTo0Dg65jJmkHw6yT+NsL7fk3zGiOo6geTHRlFXgIatSU6RHGlfJ7mA\n", "5PdJ3kXymxXyV3pPJD9A8rjcfE2A5I4kl5K8h+Q7SM6v0wbTDXZfI7mE5FvGTde4MGfcBExXkLwW\n", "wKMBrDAuHy8i74zkmwKwvYhcAwAi8nMAO7VE4wkArheRD+trIvK4luo6GMBbROTpxmUpf6siDoTq\n", "H+uJyFRu5qrvSUSOqpIPUIMhgCcBeASqX/8WwL+LyO8TizgcwPkisntZ3utRow0s2o4EICJSZOab\n", "AvB7ALtJuaiP5H8C2ExE3lSHpgSsyv2/k1xqQAC8UETWMn5BxmKAbRLWYSKwFYC/1B1URwyBYiZr\n", "AVgPwBIAJ2fk3wrAldZ5U21QZ5DeBMBBDZXVIREdc2kBJLcneWGpDriV5Gnl9Z+VSX5L8l6SryC5\n", "kOT1Rt5rSb6P5O/KNF8juRHJc0jeTfKnJNcx0p9B8h9lXReS3KW8/jYArwFweFnO2Ub5zyqPjyT5\n", "LZInlqqM35Pc0yh7D5KXl/e+RfKbLjUXyZ0BfBnAU8q67jBur0fyB2UZvyK5rZFvp/J5bif5J5Kv\n", "8LTnq0j+2rr2buOZXlDSeTfJv5PsBd7NtSSfbZwfSfJk4/zJJH9J8s5SxfPMQFk7l6qPO8u2O6C8\n", "XgD4MIBXle0xNEMu6/02ydPLtvkNyV19dBrXn1S+bxrXXkryt57ncfaPGEqG8E0AK9PTUnOafZfk\n", "BQAWAvhi+cyn2m1AhQ+Vz3ZL2e8eVebXKqU3kLyu/G6OsMkq025Q9qk7y77zM7M9HPgkgILkbNfN\n", "0DsnuTbVN3gTyRtIfox9tdcskp8uab0awAtCbUryzSSvJHkHyXNJbhlKP+0hIt2vwg/A3wA823Pv\n", "NAAfKI/nAXiqcW8KwLbG+UIo1ZVZ7i8BbAhgUwC3APg/ALsBWA3A+QA+YqQ/GMAaAOYC+ByAy417\n", "xwP4qIPuZ5XHRwJ4EMB+UNLUfwG42KD7OgCHApgN4KUAHrLLM8p9I4CfW9dOAHAbgCeWZXwDwGnl\n", "vTUAXF/mmwVgdwC3AtjZUfYCAPdAqRP1tV8DeGV5/EwAjy2PHw/gZgAvLs+3Ltt8lv385XkPwMnl\n", "8WYlvfuV588pzzdw0DQXwFUA/gNKvbyopPExRrknBfrPkQCWA3hZ2TbvBXANgNkuOq28VwF4jnF+\n", "BoDDjXJPTukfjnIXQ6k29fv/OIAlvv6E4b67GMCbrbY9yTh/M4C/lu9kDQBn6vvGezoWqp/vCmAZ\n", "gJ0cdB4FNZmZXf72CTzTFIDtAVxmPNt/QqmwQ+98/fL8O2VdC6C+yUsAvK2893YAfyzLWLd8/hVG\n", "X1vZHgBeXD77jlD9/YMAfjGq8Wocv05yqQ4C+G4529E/bbxbDmBrkpuJyHIR+WVm2ceIyK0ichOA\n", "n0MN+L8VkYegOvsTdEIROUFE7heRhwEUAHYjuZZFZwg/F5FzRX0B34BiYgDwZKiB7hgRWSEi3wFw\n", "aaAcVz0C4CwRuUxEVgA4BYqJAMALAfxNRE4UkSkRWQrgLABD0ouIPAjgbACvBgCSO0B9pN8r718o\n", "In8oj68AcDoUw0mBSffrAPxIRM4tyzoPalDa35HvyQDWEJH/FpFHRGQxgB9oGstyY21/mYicVbbN\n", "ZwHML8uN4TT022ItAM8vrw0hoX+YIIAvkLwTilH+G4CPOtKEQOvYPH8tgM+IyLUicj+ADwA4iIPO\n", "FoWIPCQiv4Oy+eyGYSyHUnVtXfbNX0RomoKSoj5Mcq51z/fOX0ByI6i2fbeIPCgitwL4PPoqtlcC\n", "+JyI3Cgid0JNznzt83YAR4nIn0VJhUcB2J3kFhHapy065lIdAjU7Xtf4fa28dzhUJ7u0VJfkGg5v\n", "MY4ftM6XAVgTAEjOJvnfJK8ieTfUbBcANqhY1wMA5pcf+6YAbrTSXo98e5H9LGuWx1sBeJLJnKHU\n", "eBt5yjkV/YH7NQC+IyLLgJWqosUk/0nyLgCHAFg/k05N0yssmvYBsLEj7aZQ7WHiOqhZbCpu0Acl\n", "c7+hLDeGUwG8jOQ8KMnnNyJi0+LrHwJ//xAAh5Z9eT6AAwB8m+TjM54pZM/YBKqNNP4OJfWZ7/xm\n", "4/gBKAnHxqegpLefkLya5P+LEiVyDlT7HmLRGHrnW0JJfP8w7n0FSoLRz2O2+98DJGwF4GijnNvL\n", "6zn9ZVqh8xZrASJyC4C3AQDJfQCcR/JCKT3EKsA3oL8GwIug1HPXUdli7jDS1zFc/gPDHX9LqI/a\n", "hdy6/g7gQhHZNzH9eQA2JLkb1MzxXca9UwF8AcDzRGQ5yc/BP4Dej8EBa2P0af87lErpbQn03ARg\n", "C5IsGQOgBpAct/KVs9aSoW9elhuEiPyR5HVQs+rXQD2/C7H+EavnIpJXAXgugCug2m51I4mL6Q4U\n", "YZ3fBKX+0tgSyjPtlvI4CSJyH4D3AXgfyccCuIDkr0XkgkjWD0JJeKaU533nJDeBUgWvL26nhH9Y\n", "dIee4e8APiYiTglzJqKTXOrB+ZFSGeo3L0/vgvrIdOe8BcB2DdW/JlTnv4PkGlBiuYlbAGw7lCsN\n", "FwNYQbVeYQ7JFwPYK5D+ZgCbW2qH0CD2QwCPIfk6knPL314knW7ZpVrnDACfhtJv/9S4vSaAO0vG\n", "sjfUoOpjdkuhVDFzSD4RwMuNe98AcADJfctZ/3wqo7VrdvkrqJn14SXtC6FUfacHntnGnlTG+DlQ\n", "zHJZWW4KTi3zPB2qXVyI9Q8XTEeBp0AZ9P9QXloKYH+S65LcGIMMfig/ht//aQDeXRrv1yzpOd0z\n", "cPvK0A4c25dG/Hug7BwrhnJaEJELodyS32hc9r5zEfkHgJ8A+CzJtUoD/nbsrz/6FoB3ktyM5LpQ\n", "9jcfvgLgCPYdbtamx4FlpqBjLvXwfSpPGP07s7z+RAC/InkvlK3gnSJybXnvSAAnluLxgUjzhRfr\n", "WJ+fBKVmuBHqo7nYSvs1ALuUdZ3lKdeuWwBARLSx+S0A7oTSl/8ASt/twgVQg9DNJP+ZUP69APaF\n", "kkJuhJoFHgVlSPbhVADPBnCGNSD9G4CPkrwHSrduL9gzafgwFHO/E+pdnLIykcgNUIbXIwD8E2q2\n", "+V44vpOS2R0AJT3cCuCLAF4vIn8JPLtN09kAXgUlTbwWwMtK+0sKTgPwDKh1JaZ3Xk7/cEF7e91b\n", "5v+giPy4vHcylB3kWgDnQjFS5/t10AIAXy/L+BmU88IDUA4jrryhaztATS7uhXJ++Z+Scbhg5/8Q\n", "lJu17oexd/4GqD55JdR7OgN9ie04AD+GapPLoBwUnO0rIt8F8AkAp5cqyisAPM9D84wA+xJ9wwWT\n", "8wFcCOX5MQ/A2SLyASvNTlAeKE+A6sSfMe6tA+CrAB4L9cLeLCKps7oOLYDkJQC+JCInjpuW6Q4q\n", "d+ntReT146alQ4c20JrNRUSWkVwkIg+UYv9FJJ8mIhcZyW6Hmrm8xFHE0VBeHAeW+V2GvQ4tohT/\n", "/wLlmvlaAI+DmrF2qI9uIW2HGY1WDfoi8kB5OA/KH/0O6/6tAG4lObD4iOTaAJ4uIm8s0z0C4O42\n", "ae3gxI5QeuU1AFwN4MDSWaFDfaSoQzt0mLZolbmUHjD/B6Xj/rKIXBnJorENFNM5HsrP/TcADjOY\n", "VYcRQESOg9Ird2gYkhkjq0OH6YZWDfrl4rjdoVwsn1F61KRgDoA9oPT7e0C5QIY8MTp06NChwwRh\n", "JOtcRORukj+E8qJakpDlBgA3iIiOJ/VtOJgLyU6t0KFDhw4VICKt2v1aYy4kNwDwiIjcRXIB1EIs\n", "nypg4CFF5GaS15N8TOna+Rz0fe0HcSSeA7XA7g3Sk5MBgAUFwB+lJ/2gewV7UK6nAHCf9GSt8vpc\n", "KPfafaUn5tqJtOcsuD1UzCC9CO7v0lMvjQUvALBIn5fXvgvgxea1CnV+HMARA+WSR4rIkZ70BwM4\n", "vk6d0wmhtljV0LVFH11b9DGKiXmbkssmUOs5ZkENvCeLyPkkDwEAETm2XIj1awCPAjBF8jAAu5Qr\n", "cA8FcEoZ4uJqALEQKrGB07d+gtZ/LlaJAbtDhw4dctCmK/IVUHYT+/qxxvHNMEJgWOl+i/CK8FzE\n", "mEtd+AI3dujQocMqh5m0Qt8e3O2BfbVIvukuuSwZNwEThCXjJmCCsGTcBEwQloybgFUJM4m52LAH\n", "/XFILiODiCwZZ/2ThK4t+ujaoo+uLUaLmcBcUgf1ZJsLC5IFU4NLhurv1GIdOnRYJTETmItGTC02\n", "z3PPxRyeBH9o+dT6Jwkdk+vQocNIMZOYSww5NpecOGaTzFQ0OubSoUOHkWImbRZW1xW5jfrHOqiz\n", "4I+gNmj62Tjp6NChw6qHmcRcYvBJaU16i02ahPB8qH1LOubSoUOHkWJVUov5MB29xXLqmg5quw4d\n", "OswwzCTmUlfyaGOdy6RJMh06dOgwEswE5uIb3GNbzMbyN0VHWuaCp7HggQ3RMlA0OibXoUOHEWMm\n", "MBeN2ODuu++SXHIG46Ykl4MAvDEjfSo6tViHDh1GjpnEXKqiScklqywWfDwLrmtcqiVhlNLPx+qU\n", "0aFDhw5NoGMu440t9jsAxxjnddVXBwE42LrWqcU6dOgwcswk5rIXC+5QIV+TkkuVQdy3/qYpdGqx\n", "Dh06jBwzibkcAuDcCvnGHRV5yjhOZU6dK3KHDh0mGjOJuQyhtGnEpJlxe4tNxZPUQqcW69Chw8gx\n", "E1bohwb13wG4DcCGCfnHtc5lRWb6Dh06dJh4zATmUheVmAoL7g3girrlwFKLseDqAJZLTx6pWJ6N\n", "Ti3WoUOHkWNGq8VKxKSBqgEnLwFwmCd/Dmy12P0APluzTBMdc+nQocPI0RpzITmf5CUkl5K8kuRR\n", "jjQ7kbyY5DKS77XuXUvydyQvJ3lpBRJsBpGziDIVcyPlV1WL7RjJk2vQ79RtHTp0GClaU4uJyDKS\n", "i0TkAZJzAFxE8mkicpGR7HYAhwJ4iasIAAtF5I6MalMH3SbDvzQtuXRoGSy4H4ALpCfLx01Lhw4z\n", "Fa2qxUTkgfJwHoDZAO6w7t8qIpcBeNhTxChUOnUkF3qOczDFgo8pj9uQMDrJZRjnAHjxuIno0GEm\n", "o1XmQnIWyaUAbgGwWESuzMguAM4jeRnJf8nIkwsXU9iyTn4W1NdS1WJ/zkifi87m0qFDh5GjVW8x\n", "EZkCsDvJtQH8mORCEVmSmH0fEfkHyQ0B/JTkn0Tk5450daUHl+RyQmJeW71mlpXKKJpWi3VSSocO\n", "HcaOkbgii8jdJH8I4IkAliTm+Uf5fyvJ7wDYG8AwczkOr8P25fEWmM+Cj7OLilRVZ2YfC1aZMtCL\n", "57gqbHo6ycWNjgl3WGVAciGAhaOsszXmQnIDAI+IyF0kFwB4LoDCl9zKuzqA2SJyL8k1AOzrzfsv\n", "+AaA15VnDwJ4Xnk8Cm8xu5wqZY1ihX6HDh1WYZQaoyX6nGSv7TrblFw2AXAiyVlQtp2TReR8kocA\n", "gIgcS3JjAL8G8CgAUyQPA7ALgEcDOIvKdDEHwCki8pOEOlNVZG15i1Upq2nJxVVGN0sfRtcmHTq0\n", "iDZdka8AsIfj+rHG8c0AtnBkvw/A7lWrTrnOgu8EcDyalVzs49wBrPMW69Chw4zATF6hL9a/zTyO\n", "hlK3Nak2qqsW67zFOnToMCMwE5iLvT1xzgA9hfqSS938TavFtmDB9RooZ6ajk+Y6dGgRM4G5mMhV\n", "AQnalVzGNYCZ4WM6ycWNrl06dGgRM4255MJkLlUGm3WgHBJ8+VPKbHuzsLGCBcmCs8dNR4cOHUaL\n", "mcZcQoOzL7BknYF6U08dOWU2rRabNPwXgAeiqUaPmdjWHTpMDGYac6mjFpsEb7G2ME469oCKLVcb\n", "LLgNC67fRFkdOnRoFzONubgQGljrSi5NrIZvU3KxPeamO64BcGZDZc2UNunQYSIxk5lLjKno/6ai\n", "It/quJ4b/qUpzOSBc51xE9ChQ4c4ZsI2xzZT8K1rcaFJbzEz/MtTWXCHxHxtrnNp2huuQ4cOHZIw\n", "EyWXcdlcTHwSwJczaHAdN4EBRmtsBTCd0VQbzWTprkOHsWMmMheNFHtD2zaXtgawugs+pzNmwjN0\n", "6DDjMROZS9UV+lUQi7ScgjYkF1/om3EMzJ2E0KHDKoiZyFxy0KRB3zzP2ePliAr1pmISmEvT6JhV\n", "hw7TAKsSc2ljEWUMroHQrs98B22r0WYCc5kJz9Chw4zHTGQu4zToJ5fFgtd76GkStuTS6PtmwZ1Y\n", "sJEFkmNAJwF16NAiZgJzqbNwsS2DfkqZmzdYrw9tq8X+COBdDZfZoUOHGYCZwFx8SPEWayLkfgoN\n", "baXPLa+NZ3xUC2WOAp3k0qFDi5iJzGWUIffrSC5twsdU2qBrJvahDh061MRMHBhGaXNperBu2+bS\n", "MZcOHTqMBK0NDCTnk7yE5FKSV5I8ypFmJ5IXk1xG8r2O+7NJXk7y+4nVbgPgSxlkrg/gixnpY0jZ\n", "LCwl5llTaIS5sOBuLPhMz+3pylw6tViHDi2itdhiIrKM5CIReYDkHAAXkXyaiFxkJLsdwKEAXuIp\n", "5jAAVwJYqw4pgXsLAexVHjcpuYTKGqXKrCnJ5QdQDgiu/KNmLuNWOXbo0CEBrQ4MIqI3iZoHYDaA\n", "O6z7t4rIZQAetvOS3BzA/gC+ivbUT1PBVHE0EXLfRNsr9Nt439NVcunQoUOLaHVgIDmL5FIAtwBY\n", "LCJXZmT/HID3I84AfAN6yFNKH0957tdFzgr9UaKNWf+oJYlOnVUBLPhNFjxh3HR0WHXQash9EZkC\n", "sDvJtQH8mORCEVkSy0fyhQD+KSKXk1wYTPw1vAbblsdbQ1ldymISSKwrudhIqXOUjKcptVgo37RR\n", "i7HgkwFc2iAt0wmvBLAcwMFjpqPDGFCOowtHWedI9nMRkbtJ/hDAEwEsScjyVAAvIrk/gPkAHkXy\n", "JBF5w1DKt+BUAK/JJan8ryu5xGwu41rnMsrAlTHmMkmSxsUAXlAeTxJdo8Kq+MxRsODqAN4qPfnC\n", "uGlpC+Wkfok+J9lru842vcU2ILlOebwAwHMBXO5Lbp6IyBEisoWIbAPgIAAXOBlLfdT92CZ1nYuN\n", "unSF2mm62Vzmj5uADhOHpwM4etxEzDS0KblsAuBEkrOgBqCTReR8kocAgIgcS3JjAL+GWuU9RfIw\n", "ALuIyH1WWVWYQOoKfY1JsLlMG7UYC65WHk435qLp7WbxHTq0iDZdka8AsIfj+rHG8c0AtoiUcyGA\n", "CxsnsCw+dJMFKT0JpamyWVgTNpdJiC12avk/3ZjLbPsCCz4ewO+kJy4mugaAByL9YLpgJjxDh2kC\n", "78BA8hfl/30k77V+94yOxCiqDJiu2aurnIn2hGLBA1kwRxJq8nl2Kv+nPXMBsGUg/X0AXlG3UhZc\n", "nwWfULecDq2gY7otwCu5iMg+5f+aoyNnZGiLaVTZLCz1ngs7AwALfgrARwLldetc+qiiFgtK14n4\n", "CoADMXn2uIkBC24I4D7pyYPjpqVDfSQNDCT3IHkYyUNJDqm6Jhwh1VRdySVm0M9Vi+VCl/U+lIzG\n", "U28bajFdx3RjLi7JJcZompjZTsK+N5M+Q/8ngGOjqTpMC0QHBpIfAXAigPUAbAjgeJIfbpuwFmAO\n", "rE0NiL5dJdvwysqlxSyvC1zZh4u5dJgcbDZuAjo0g5SB4XUA9hKRnoh8BMCTAby+XbIawcqBmgVP\n", "h3KFXnnJkb4Jm8uoXJFTY3zVZi6lQXvt8vgpifWOBCy4MQv+W2a2SvSy4C9YcM8qeTtMPCZdopuW\n", "SPnQbgSwwDifD+CGdshpFOZA+irrXqrevSpz0Wg7KnKqNFaH6f0IgLa7/dK4PglqsbcC+J/MPFXU\n", "YoBa2PuczLomDd0g2mFkSBkY7gHwB5InkDwBwO8B3E3yGJLTdUVrU5JFlcCVbYV/Mcv1rfFZmYYF\n", "57CIhNZReEzkfmsr9FlwXxYM1V/lPWrmkrvvT26eKFhQWHC2cTwJdpkOHRpByjqX75Q/QH1cS9Df\n", "ZGsSZkKpgStNuAbEJgz6ts1llO2TqxZ7EYAzkf+MdtltSi4/BvAzAL69ZOowl0nBLAAryuPVoOJ/\n", "degw7RFlLiJywgjoaBN1PLbqeoul0pNyL4aUPWRMRjA3WFjBo6HCgFZlPk1hReBeU5JLqrdYY5MF\n", "Fmyk3cp1ThtJT/6ZkHwSJoMdVhFMN0+fppC6iLJquaPaLCxmcwlJLjE6Xg7ggIR0bfehtpjLqNG0\n", "Z6GJTesWwILHlI4vqyI6ptsCVlXmkqq2asOgH8IoXZFjz/ZQ+R/rI233oUes85xncKEKc2nD5tJk\n", "u6XSFUr3Rgw7vkw0WHBbFjxm3HR0cCMU/uXk8v9doyNnZGjL5mIP4q78Tewhk+qKbKfPWevzUOR+\n", "ajl10bTkEpLwYmiDuTQhuTS9L1EQLHgmi/EupmbBnwO4GsA7xklHBz9CA8OeJDcF8GaS69m/URHY\n", "ANpcJV/FWyyEOq7IWd5iiNOqDcvjNOgDw5KLiSp115FcmsQ4mEtOENYQXgbgxRnpc5Da1k9rqf4O\n", "DSH0cX4FwPkAdgTwG+t3Wfuk1UadgTp0LXQ/xVusLVfkpm0uywLlmmVPN8llUrzFVvYVw7hfldF4\n", "mQsLtadSieT+xYLrVqRlWoAFX8KCOiBpZ3NpAd6BQUS+ICI7AzheRLaxftv68o0BbXor1bW5jBJN\n", "MxetFmvNoM+Ci1jwS5FkTTMX7SHpkvRGCZfkkvU8BlMK0X8nC+6dUpxR7uMB3JFDyzTEt8pfh5YQ\n", "HRhE5O0kdyuDVr6D5G6jIGxEqOstVsUVeRSLKH33qthc2jTovw3Av0bShNRio5ZczJBCF3rC4aTC\n", "ZC5VJRf9LLF3sH5CWWbd63hTudNPR5j9oJNcWkBK4MrDAJwCFbRyIwDfIPnOtgmbENQ16I8qKjIw\n", "+C7t+l3rXFIllxhig3XdD7dp5uKSXGJw2bCeAWC/lYQU/CQL/j2hDI0mmIteq5TKMFsZRFmQLPj8\n", "NspuETnfQocKSJl1vhXAk0TkIyLyYajAlf/SLlkjQ9Mh9+vaHybRFTmW7lGR+1lgwSey4GeMS22p\n", "xUxUbXeb2YT2fQn1larMRT/LuO1Ij4aKQdcqWPAtLLiojaLL8jsm0yBSB8Mpz/F0QJsir91+dSWX\n", "pgz6vjrqrnNxrWrfJE5aFv4FwHuM87YM+nUll7q0mH2lLnOJfce55eb2w+UAwIJtO3d8FcDnWyjX\n", "Jdl3qImUxjwewCUkjyRZAPgVgK/HMpGcT/ISkktJXknyKEeanUheTHIZyffm5G0IsQE596NMac+2\n", "1GIhyeVTielNuCQXc2Khy944Uk5dhCYzVdpSq5Kq5M2NVxdCE2qxVMklxfDfRL+c30AZMTzcYFm6\n", "b82y/js0gJTYYp8leSGUX7kAOFhELk/It4zkIhF5gOQcABeRfJqIXGQkux3AoQBeUiFvlISENLlq\n", "r9j9ui6lTUsudda56A/PTOeSIrwxyljwHQD2j9QTQ6UBsVRxrCM9ubNmHaH7TbyvUUgubUPTvTqA\n", "B1quqw3mkiy5sOCWAG6SnoRsga2ABW8DsENinx47kjqliPxGRI4u3ZOjjMXIpzvaPKjZ1R3W/VtF\n", "5DI4Okwsr4EUFZAPdY16TavF6iBl5XmOt5htrwHyVaIHZKa36zPpcGEWALDgWY57L4G7z9SZADQ5\n", "86/EXFjwKSy4XXmaa3NpS3IxmUvbGLfkch3GtxXz+gA2H1Pd2Wh1xkNyFsmlAG4BsFhErhxFXgsp\n", "YVGaul83cGVTBv2g5MKCawN4f4VynfYPFpzNgj0W3NW6NfQ8LPi8xHpd9ZvlLAbw7vL0pY4ktYM5\n", "Gkh5L42rxVhwLgva2/7+EsBJ5bGWGmt9xyz4fgyqtKouQF4QTNUM2pRcUhlsHRf0IFhwOxZBb9xp\n", "43TQKnMRkSkR2R2K2z6DTNqcKi/v13EQFgNYDOBvg0WU/6sFqslRE8Xyp5bRBHOpsm7FTLMfgO1C\n", "CQ1azHJ9ksuWAI4E8Fvr+kD6cjOsc6NUYsA47GvjhZEifO3haruqscXqrJNKkVzeD/eur/8o/5vy\n", "FvtIzfxNSi6xdzFuyaVtvBPA0U0XSnJhaTc/kuSRTZfvQspmYSC5NYDtReQ8kqsDmCMi96RWIiJ3\n", "k/whgCdCbTaWjGjeN+N0AAcFiggxl7peNjHmYi662xDAXZHy6iBZckmESy22wnHfVY+GzYxyPt7Z\n", "1n8uYurSpmeAbTCXDTx5byr/m1SL1cFMkVzGylxKG2UsZlqlfisiS2CMnyR7VcrJQcoiyrcBOAN9\n", "PePm6O9MGcq3AaniGpFcAOC5AHz2mkF1QF7eGEJbx8YklyYN+v8E0IuU2VZsMQ2y4FMBpOzbEWMu\n", "KbDT6y19Uz4QPWDaE6Bc6S71ejKMrZebkFzMvKn2Jm3QzXVFXo8FXQyrbpuM0ubSpCG9quTSFpM+\n", "BsBAtGkW3LN0Ilh5qaW6G0eK5PLvAPaGckGGiPyF5KMT8m0C4ESSs6Be2skicj7JQ8pyjiW5MYBf\n", "Qy3EmyqjAewCpS8/wc6b+WwaqWqxKsi1uWwSqbNOsM3UdS7bJJadI7nEytCBEHV+lvdCDg8+ycVn\n", "g1kHwMPSk/tD6eAeyJN3oiwZy58d+erY53zMxaeG1LP3Kmqx3wDYKpIm19NSHwd3N20Ik6AWG+UA\n", "fxnUO3viGOquhRTm8pCIPMRyslm6Bkc7n4hcAYsLl9ePNY5vhntV8+9ceT2INXbow6tr0N/Lkz7k\n", "LRZCnRmAyAsRAAAgAElEQVSR6znrqMVceXK9xcz0d6Af4yqFjtyB80YAv2TB/aUnD+s6WFCkJ01+\n", "kL7JSnIdLLgxgEVGvlzJRc/eqxj0N8pIm4q2VI0uNMlc7AnUlWho3RYLHgHgh9IT2w5ZqTj7mAUP\n", "AnCG9CRXmzAypHTKC0l+EMDqJJ8LpSL7frtkjQymx1QVtZiNFPfeZMmFBTdnwbUS6cpd5xKDa2DL\n", "7cg2M1q5Or7c+/3VAMCCL3aoynxqMR9WB/Ac9PehyTHox9D0Cv1nANCb8IWYy2AF/TbSzKWK5NLG\n", "+gyvzYIFZ7HgcQ3W1abkksp4UyaBH4cyzjcBl5R4GgDbOxMsuAYLvryhemshhbn8B4BbAVwB4BCo\n", "GEIfapOohjCOSKcxtUaMudi4HipoqA/mMzYtuTiZCwu+ggU/kJAWGH7+eda/xncd10Zp0B+ZtxgL\n", "bgvlOm1GCkhVi9nRBVKjIptwMZem1MOuchZAxSdsCm0a9KcDYt6brwPw7RHREkRKyP0VIvK/InJg\n", "+TtORGZiiGqy4Br2tdwyrP8m1GIHsOBjI/UBaZLLYwF8I5MmE1MA/hPAfznK9qU3oddSuJws7L5Y\n", "1822yQGjiWgPGp+B8m7UbZCjFrOZy0omw4LCgr4Fdma5Kcylqu1vFN5WbUou0wGxSdHEjM0p3mJ/\n", "c/yuGQVxI8ZeAO6zrrXBXKoMeil+7ymD8JAYHYBPLZbTeX3MxWW3sANK+tRiqe3XpOTygoR0XrpY\n", "cB8jr34uzSjmoa+OiQ3y86x0dlulONo0OThrJG/Z7PFWy8EkSC5VJV2w4Los+ITM+sx1XynrziYC\n", "Kfps02g9H8CBSNt8aLqhbqcH2tvmOCWWUIrkshzpcNFSx6AP9JmKS3Kx+2LbajETscHCF8YmqhZj\n", "wTUBXIS+nVI/j26Dj0OpMlxl+JiL3c/0uW8Pnpjk4s5U8PnSk3NSklp0DN0z7EW3suBsAPOlJ1Xi\n", "kLXpipyKOlLxZwEcXKEMTWNsk7PpI7mIyG3G7wYR+Tz6M7lJQRMN6ho460ou6mTQWJ3DXB4s/32L\n", "L82yUmwuQ4MPC27DgjfZ1x15gXxX5BzmcpIVst23hiP1nSQZ9EtV0pLEMqtILj51n5ZcNgukjanF\n", "dHpd5sCs3uh3lZgLgB+V4UhSoy4P0M+C68FtW5oL4P6Ecl1ocrY+DptLaGlECKnMZWIQlVxI7onB\n", "UCBPxPg3JzJBqE5Sl6YmmItvQNPXTa+jlLKvA7AT0lb2p6xzcUkuu8K9J4tPcsmZ5eWoxQ6wrlfZ\n", "d+U+AGuWg2qqWizV5R2oxlx8XnC2isuVNlVyWWCd2+XVsblcBbUddcjjy2czuh19la7Zb9YyruV6\n", "IGYPqCy4O4DLHS7pUyy4NfLHjiANLPjLzPJSsJK5lJ6WgHvMmhiGk6IW+wz6BD8C4FoAr2yLoIpo\n", "S3LJhe/jNplLjuTyeyjmYqvFXGWkSC45+mqf5OJiLi4X1A2hHAhMrGb9h+r0eUKF2u8hAGuW5eeo\n", "xaoixVvMZx+pw1zsMte0ytZw6elTJBebjrUT07v6xtbGPf08axvXbKQuaM3BzuYJC+r+J1ARCb9X\n", "ocwQQoEtq45VXsmFBecD2Ft68jOEQ2GNFCn7uSwcAR110QRjaEMt5vroUiQt3QGXQw3o92bUbR6H\n", "XGerwLVZmF23xknoryrWCKnFdDm6rCpqMT1wLoikM8tZmY4FKT0RFvwrgAMzF8Cl9pWF5b/r/ad6\n", "i9lMo2nmUtUG4WqDOY57IeYSQ5U+bEtHzyr/dX9eZwQ0DOQtjfrXS09ucyUqI5fvrk/hZi6a/jcD\n", "+J8y3bN9FZdbNSyWnmzpS9MkvMzF2BnStVZCROSzrVGVj0mxufi8ZmK6dA0zPIr+v8uRH1Y6V50u\n", "NKHOdNHuos+1K2FILWaXU2UNh0aIuYTaiVDPtz2AJ2M4yrONOuFfXNeH1DbWuU9y0S70dltFmUvp\n", "fm+/q5S+5KLb9a7MSYI9mLvSz2XBTaUnLjsg0AxzuctzPRWp40KI1v8DcCaUg5QLHwDw/4xzF3Ox\n", "7zlh2LZ2hTsiSisIEbUW1IxoLc9vkjBparGY5OLD8x3l+VRRvrrNY7td/JOJgjex4OOMS6lMxHfd\n", "lT+0zgVwOyhUMejPs/M5jNuu2bZ57Bp46hj0s5hLaSewQ5G0oRa7MEJTClIkl1nG/ZDkshDAjSxo\n", "fwsalZkLCz6mjA23rLyu+2NjqlIWzJmQhIz79nPazhuA/zu3cRGA81CdmVaCd7ARkSNHSEddNOGS\n", "16RazD63bS4+RvZUR/6pRDpcaXwd1IVNoNzOf+/JG8qfKl3EbC4p3mI7suDfPPlNu4Y5UH8ZKgCr\n", "WV6UuThC0thtsgEL7iA9+SuqMxffxMMVBbyqWsy8bjOXHR31+PrxcMKCe6MvCbj6ga77tQDeUB6H\n", "JBeNH3nqTZ4ElraVhUaeK6HeobaJrJdaloXQ2BJbS2bmDT2/M6I4Bt9lKnN5MpS99dORdI0iZRHl\n", "ApLvIPklkseT/DrJr4+CuAxMis3lTZ7r9gCSw/hCkotvYPTRHTP6z/JcN++74mylOBMAcZuLSy3m\n", "epatI/nnWGW9Dm5mYp/bkkvs+3gvgL8E6DRpqjpBMOFboa9n4NlqMbj7fdJkoQwFf4lJDwvuaSXT\n", "k4SDAOxTHo/K5nIQ1OZ0eqCeXdKj+5ZWJ5oTkVFEdl5ZXeCe/Z5cEwWdP2X8k8R0jSHl5Z4MtYJ4\n", "P6j1AFtgeCX7OBGSBHLQRBlPL/9DajEg/QPRz5arFnPVcytUx1wSKCNmk/ExnybVYqb08YinbB+c\n", "kot1LzTYb28cr3CkCb232ASgCbuZrSrU6eda922aBpgLC76KBbX7cp1YY7ax/tFQIeJNuCYJj3LQ\n", "FYQhReYwF02f7YgS6ufLWfCFGXWABb9aSnApSJVcmmYuUxixWizl5W4vIh8GcJ+InAhgfwBPapes\n", "bEyKQd/OZ/9rtVgOcxmYQbPgMVArfH112vVp3IZBycOFWH/wMZFUR4FctdjDCTSZ0M9tSy7mvZDk\n", "cqVx7JJcqvSHLJsLC85jwc08ae2BWpc9z7qvZ+BPsdIB6rlOh/qO9XmIphDsNnX1A1eMOM3Yqrzb\n", "nHegy/epmHzY3r5gxR20v6G3QHlspWCIuZReXDZM5rI7+hOzOpLLxDEXvfDubpKPh9KXbtgeSZXQ\n", "BGOIlsGCnygXXcVg123bXOqoxd6B/swvNus161kBFeIm1BFdHVfj83AzJ5/6qAm1WC5zMWd3ddVU\n", "LskllKcpg/4HAdzgSeuTXFazrgPAa6DsFvZ1/V50tIZHHPeGaGXBZ7HgG+zrVvqYQV/DRW8MOepF\n", "Dd1eZl8UKHWmCbvMAVt0+c2b2hoXDWs6rsW+c/1MV5VhgkzYksvW5b/5jZrjSgwTqRY7juR6UGH2\n", "vwc1u/tkq1Tlo7FVqZEteA8H8Iqc4sr/UavFyII/QN9PHgAeBzXDCnWwL7KgvQGaxiUeOlIdDoB8\n", "tdhyAGsEokK78gNqcEhVi/lo90kuKYZ51/UUZwgiPHHz0e6a1boGIRN60uiazbqe+1gAJxrXng2/\n", "k4QJlyHaZyMKQaf9IAumbqesJ2ELrOsvjuSz7S6xRaSAm7m4MCC5BMYb33qkGaUWO15E7hCRC0Vk\n", "GxHZUES+0jpleWiCubhE+7pqMY1cg745g6zqLeaL/xarW7sj2+X5mFxO6B09qPiMpvbs9iGoCAW/\n", "dyf35k+xucTgklz2cVxLpSnV5hJ6Pz7JxcVczMHJJbm4mItXcnHQ9WQA77bSazWPWZ9rt8yVkgsL\n", "voEFr3fUZ8PMv21CeqDPXMyBPyWYbGxx+QIHU/AyFxYkC77aUT/h7xc2c9H5ahv0IxPoxpDyoV1D\n", "8n9JPpscDVEVkNJhYgjpjWN1xcrMZS7mzLTOOhcX7I6Yoq7R+Uza9X8VtZjv4zXXQqwDtTWyIqZg\n", "yj40bUsurw+kj123oxW48qUyF/tZXGomc3By9emQ5JKjDjTvu+wrrvVKpuSyCMDmLPgjOFA6H6xA\n", "tUmfpscc+FMmQjGPse0AvIUFd2XBFznqcNFxquP6LAx7AGrYzMW1BUUuc9HpP5+QvjZSBq2dAZwP\n", "peu/luQXST49kgcAQHI+yUtILiV5JcmjHGl2InkxyWVGVACQ3ILkYpJ/IPl7kqEtQ9tiLk0Z9Kuq\n", "xYBqrsgh2B0xZybvmgH7JJoQc/F94OYzPBoGc4FaJxGDKblUMeibszqfxPg4+0K5u+RQG5RGdb0m\n", "xzf41GEuo5RcQrC/HZMOF8NxMUPfoslnlunsCVoK7L1zfIhJLq76tgXwNQBnl+f2RoOA9S5Lic6W\n", "XHzruWzm4vIIzLG5mN9pU9svBxEdWETkfhH5poi8FEqHvzYSQ5SLyDIAi0Rkd6jFRYtIPs1KdjuA\n", "QzG8wOdhAO8WkcdCieD/TnJnDMP3QbbFXFJeZFMG/co2l0C62MJK3wCjmYudv4pazJfepOVTGGQu\n", "KdDlvgTD7eGTXHxl2PRonOy4drWnvBTbQA5zsVVsNnP5oZHWx1z080050rlocp370rsYSYi55Ngy\n", "qjAXnSd37YozvRGNWMM8d4U7WpnVoMf2FnOpDYHh8dDlDDMguTicAmxac2xctZFUGcmFJL8MFQ9n\n", "NWRERRZZuSHQPKgOdod1/1YRuQxWxF4RuVlElpbH9wH4I4BNfdW4yE6l0Urf5HYC9oBW2xU5oa4Y\n", "qqrFfHRUUYulMBcgn7nogexdGKTfVLf5/jVc+4+koKqUa4b8r6oWcw1spkRitqsdQibFoI8IXSmS\n", "i0stlhIY1AzPb9c3TIja7nkri45cyWVHy27kG19Sv2PXGhVdho+52IxXvzfTOUEvWj2lPA8FuB05\n", "c0nZz+VaAEsBfBPA+8uBPhkkZ0Expe0AfFlEroxkcZWxNYAnQHkspWL3eBInopJLgkEspBbT0kgK\n", "YszFJ6246NMSUCpzseGjwye5VLG52AN6bAfO/aBWYGv4vKUWoK+ein1g5sdeZR2GiVxHk9i7iBn0\n", "TfgkF3uN0YBarAzfnssodfkhm4tZ5kbGcayNXJJL7L1sC7UXUlXJ5QAAry89Lu+Avz1SA5eGJBdX\n", "1GgX9DMMMBf4bXk2cvdiqo2U/Vx2E5G7q1YgIlMAdie5NoAfk1woIktS85NcE8C3ARzmZGzH45XY\n", "AmtgNoCtAWxTldJWbC4adWwuqd5isY7zEIZdMhEo22XQd6nFUiUrIE8tBgD3hAqTnvyYhbdp7AFF\n", "u/jGDPomcxmF5GKXkSS5sOCv0F/MnMNcQpLLHKjdT1+EYaTQlaoWcy0a9MHltty2zQVQnma3QYUO\n", "+oMnX/Q7ZsEnAXieQU+qWsyGfm8mYyZSo6VcjTm4AG8YXh7aHlL2c6nMWOxySP4QitMuSclDci5U\n", "WOpviMh3nYnehG9BGf1cBrUc6A5mL7CyYXpdpJZZ5cPQaUMzjvd5ynXVYcZXsutwwR6wQuqvVDVK\n", "LnNJ2cfGh5gB3ffcphpnHJJLqs3FjJKxUhphwR2hGIRPLabThtRiuTYXW+3jdDs2rpm2qFgbaSaZ\n", "8w3Zbrsx5hIaBzdCGnPxPceHAOhwMi4nE59B34ZmLm8zrs0CcH8kn8J2WI7tcCoUs3THwm4YrYpJ\n", "JDcguU55vADAc+GO9gpYHaZ0e/4agCtFZBSuc7r+w300JVy379vMZQcoJtiUWiyHJt357Q9tKF8Z\n", "ev+t1uVctZgLMbXYVuhHzgXqxbDzrSb3eZFpVJVcXANYVbvf4MW+GtYXzNM8/xNUiHVfYNGVkkvp\n", "4utaoJprcwlJLr6IzanQzCVHo6Bp1c/hW7SrkRP63nfPN7mw34N5vhfSJRdf/0rdXdacBI5kpX7b\n", "OrhNAFxAcimUveT7InI+yUNIHgIAJDcmeT3UgqwPkfx7qQrbB4rLLiJ5efnbz1FHjmEtBFfn8HWY\n", "qoPGvgB2Qd4iyqbWufiYiwsbOa7Z3mK6jhxDYcygb7/fNgKkalqPZ8FNMNxWWodN5H0fK1WOjr1j\n", "UuHry7ahPFbufAzSvq9xrFVS+vlcHm25dIeYi4avLb3fQtmOVSQXPbtPlVxczEfXt6vnfsq4YzMt\n", "l1pZK/Jjz+SjwefZtiULfsu4ZGpARmJ7SdmJEhgcUAUAUnaiFJErMOgNo68faxzfDPfuaBchvRFi\n", "LznFmOV6uS/A8IKjHFdkl1osBSYtTXuLxSQXH/O06XAyFxZcB8C6qKYWsw34ddRiPiwyjp/hoOU7\n", "5X+u5DIHyiC+OoD7y3hUuSpl34Blqp1SIkVvaKWxNx3TdYXocNXvQ8ign1qGr9wqzOU1UOuiUg36\n", "LslFf/cHwx93MDYWHAwVMkvD1S46mnKqWsymwTeGPweDoaomyhVZ70S5J4B/hXID3gzA2+FgGBOO\n", "lJg6rg77uYy0oft2O+eoxZpa56KvxRaI2R5bGjYdNK6bH83pAK5BNW8x+/ootnbweRXm2lyAQaeJ\n", "a9Gc5KI3tdKDbUq5TzGOXYNnDnOx1Tk2XmGkM//tMnLxavTVPua7eIyZiAXPhhupkovL0SXlfq7G\n", "xCW52I4mPmRJLhju15Pjiqx3oiT5cwB7iMi95XkP/Wirk4IUySWG1IHgRUh3bfRJLrmLKMmC60Lp\n", "aH14VSItUZuL51qqWux58ENLLqnMpQ3JxcZ7PNdfibR1GCaWwb3ILRU+5vIVqIWhOZGiH2Ucu7zJ\n", "QrTZ5ccYw7+V/yHJpQpzORnAGQ6aTrLSubzbzDxzEZ6kxZhLynvciAVd/dp2y7bL0o5IVZiL6W1m\n", "41AAYMGbyvOJdEV+NAaNRg+X16YTqkouLjyr/KWUVVUtZpajB/UjMOgdZmMr4zjEMGxaXIwvRS1m\n", "pk9d5xJTi9n9Mc0Tph28FP21Mal4CINSQi5zeRzc7ab3fNdqsZRyzUGnbcnFTGf+m8i2uZTweTmm\n", "wJRcHobfcF+FucxBf3NAQGl5DvekM+mx22FoN0wHLobfoB+b6G5S/mvmYvfR1pDCXE4CcCnJs6Ae\n", "5iUYDL09HdAkc6mCqmoxoD+o16XPZ2TOlVzsNE3GFrP743JnqubgixytYX6EP4Oy0YSwrMyzHMAt\n", "yH9nXwHwZcd17Qqr1WJD8c0c0IPOeQCemkmHTfcHUW6kFllAHJJc6vbfoMdXuaJ+c+uyKbmEmMsc\n", "qHfnC+Hion0rxzVXBBFz8J+FwbY5G+5FojYeQr5azIbWMCzHiJhLdEYtIh+H2hv+TqjVqgeLyH+1\n", "TVgmUmc/ITTJXGKSSxuxxVz1uxBzxfVd88UWy9HlhgYfYPhDSXWzrIrXR+7nSiF6ELgZyk7S9IRF\n", "Sy4h9ajGHAA/gAoIGZJcHgzcM2G79/rqBJpTi5m0hGJ3Acqz9LqVmVQcsF2g+tA8xPuST7UGpE+e\n", "XOlsycVshweRphbbGWr93c8A3GRcr8pcRoLUQWF1APeKyNEAbiC5TSzDCJHitTGdmUvOCvgUxJiL\n", "Ty2WatBPQarNJTQgvC6zzirIZS5S5rkf/t0wU93QTZjqxFSGOwfAlPTEp0bT11Jji9n5XAipxdYP\n", "5AtB1xdTXbk2WXsc1GA6F/7NtzQeCtzzre+y4VOfmeWYZaUyF700wF43Mwtp2ieddxban7CtREps\n", "sSOhPMZ2BPB1qFnAN6DWoUwKWmUuLPgsVP84gNEzlxybS463mJneZ9AHVASGlEV3NnKYyygWgtlx\n", "nGKYBfV9LINflfkI8mJdmeocLbmkYA7678C3q6b577rnQo5a7G7EIx/HvgVN988j6Xx9SjOX2KC6\n", "LHDPte4rVXIx37UtuTyA/jqjlP71sFUvoVyOUyAYdPJoHSmD1kuhtgW9HwBE5Eb0I5VOAr4VT1Jb\n", "cjk1sR5fmbnMxbyvY4s9O6PeFzqupTKXWXBPHPSsKUXSiQWctAcC/bw2cwm9N18bvhfAfxjn13nS\n", "pSBXcmGZR3uNuSJLxPqiXc+DGIyvZTMXzWQ/jcF1NXONe67vPIeB+OKU2bCZSzA2nJU2lRYffHQ9\n", "hDTm8o/APdf34KrPvnYNBpnL/4Nag6PxIPoTmJSxeDkGJ1WEfx8cG9sB+BLatS0PIOWBHiqDTwIA\n", "SNaN4TUO1GUusfARsTKbsLnkRHn+N8e1VObyNAAfcOQXDAbRDKnFXLYZEzYTecRzPTX0hokVGPwA\n", "60g4JnNJXWukJRcAOMiRJtYX7XqWAfj3cnGqS3JZYfybA+hchO0kOZKLa/dDF2zm8gjiC0lTF2jG\n", "4GNSDwHYGsPM5avmifTk+sR6QvXZtD6MwbZ7knX/QfQll5TndEkuE4uUBzqD5LEA1iH5NqhdKb8a\n", "yTNqtG1zyQ3ZbWMSbC6p3mK+j9THXFxqsRhzsevQ78dmLiHG4Ct/Cs0xF9OInKoW05KLD7mSi06/\n", "GsLMZcq6Z0ouMTXp16x75vv8UVluSmh4V5iaWPvHVPOpA2hILbYtMBAP+HS4N33TuLFifS7mEho7\n", "ciWXhzEsuWhcCbUtSgyTI7mIyKegIhOfCbUy9sMi8oW2CWsY5gdtf5zHATgS7UouLlVSar6mwr+k\n", "Si4h2nKYSwj2h+mTXKowF1tySZlY+FBFLWZKLi7EbCZ2PVpTMAfu9Sb6WW3JZY4jrQk96M3H8GJV\n", "k4YfoG+3APLUYrr/hhBzzIhNVDRCzMXGCoTf52fK/1CEiBR3a1tyse8vQ5+5hOjRzH85Btvi8cbx\n", "CgC/CZTho6E1RActkp8QkZ+IyPvK309JfmIUxGUgR3LxfdxtSC6V1WJlZGIgnbnE0tRlLlpy0fm1\n", "mq4JtVgVycV3b5ySi2lz8SFXctHrIOYh7LVkP/dchJ/9FOPYpik0A8+RXGY5ys4FkRajLYe5xNz7\n", "Nc0hD7LYanxgmLnsZN1/0LgfoucIozzznZpbIacyDd/2AY0jZdDa13Ft/6YJaRlmB7d1r9qVOWbg\n", "rPORVFGLXQG1VqLpsA12Wa+wzlOZi3k9V3JJtbmMWy2Wa3PRarHQoJTLXG4p/6+BP1q1/jfLnodw\n", "P9vAOA6FeyEGJZcUm8vjWfBlqP7dnGnV71qLYyNkcwGUZ5ZGTHJJYS4parHZGF7YacJ8rtgiSmBY\n", "cgHiUSzsnX//hGE1aCvwPhDJfyV5BYAdSV5h/K4F8LtREJeBtiUXoNrio7oG/VhMpCZosV0ZY8zF\n", "bief5BKCTy1mS4ipzMWUFGy1WJ3tGKqqxUJ9JTbY2m1zLPo2gLXhV4tNWWWvhnTGajvp2KocvRAR\n", "GB6sXPk+B8UgXN5tNhY7rpkefjsjjUG91nNdD8x3GddizEXTXJe57OlJp2EyhhTmYhv0TTp86/1s\n", "z03bNtcaQg90KtRe0t+Dcm09oPztKSK+Fzku1GUuKXu0+HS3KajKXLRaoQk9qY+5+NLZyJFcYrGo\n", "Um0uUW8x6QmhVsRr2JJLHeaS6iVlpolJLrEP26UyvD1Ag7mWxeyPeyP92W2aQuqd0EzctctpFcnR\n", "zLMd0r4z17YdQF86ML/fmKq5qlosdxJo2rpC/UvT/giG2zO2x49tTxs/cxGRu0XkWhE5SESugxIr\n", "pwCsQXLLURDXIFIklxhsddrDGFQtuOAb0N+VmG822vcWsxGyL+WoxUID22bWuS84YarNxZQwbMml\n", "DnJ2PwT6iyjrqMVcDFb3Pdfs1DTo28+d2g6/wmBU7ZBaLASb9hSbi6uf+J6xCrQ6zPzuXRK4CU1z\n", "SALNXTvkgqmq87av9FYuBdETPB8drra01xpNYUSr9FMM+i8i+VeoCLEXQu1TcU7LdDWNEHNJndHb\n", "He0B6cldzpR9zIJbbXStozwTZjTXtm0uNnxB7ZpUi21jnTvVYtKT1HUuJs225FIHuZLLmgA+iXpq\n", "MZfdSbePK0aWTy0GhO1SdrprjfPZUJF4gb5arApzqWpzaZK5aJXpFMow9BjUBvzJSv8ZNGdz+VCE\n", "LlNltaZ1/xcYjkrgmlzEJBfb4238kouB/4TaeOgvIrIN1ErxS1qlKh/jUotpnO+5rj/MXLWY7jDb\n", "onnJJVaWz+3apRZ7FapJLjZ83mIhmOWbXl1NSi7mgJrCXHTkiiaZizlbXYBh5qLbIYe5uMow087B\n", "oF11uYMuF6pILi5UlcBc0N87AVxWHpvflP1e/2nkCXn9PcVxzf4OQgF+z8Gg5GIzF2D4uc2FsTZ8\n", "NheXHXNimMvDInIbgFkkZ4vIYvT3GZ8uWOE5BtK8xYDhASNl8NSB4nJsCcDgrGgFwkbBGP7bOo89\n", "Zw5z0YOSi7nY0kkIPptLCJMouWiE3m/sw7YHEPN4dfglF5c+3tcONg02czFtZnqClAKXzWXckov+\n", "bk37jym5uN5riuTiwsB3EJC8i/JnMpc1MPzc9vma8L9jX/+82TqfKOZyJ8m1oES0U0h+AYnbz5Kc\n", "T/ISkktJXknyKEeanUheTHIZyfda975O8pbSay2E2GAdMvBq5hJrC9+MMQT9YeYMmrDST0e12IZQ\n", "njI2vu0puy5zsZlxHSO+iarMJTQZiA22Luaiz13MxWfQN+/ZiEkuz8Ygc0mJEQYM72cSioUWorFJ\n", "5qLr1ypqXV5ogXMjzCWAY6Qnv8Ugc1kL8Z1XXd6CMZvLxRhcbjBRzOUlUI3wbgDnArgKymssChFZ\n", "BmCRiOwOYFcAi0g+zUp2O5Qu9NN2fgDHA9gvparIffOjc3XUFMmlKnNxqRRyJJfUkPapg19VtZim\n", "JUVyce69IT15BYA/O25VYS6piyjrwGz3HAafwlx8Th1z4F+nswBuqQPldZu5pEouUxhmLmbeX3nK\n", "icHlLabP/1j+u74FO0+dNWamWsyUXEzmaaMqc0kaF9GXpsx1LmtimLnYbeNiLhohL097/PtFAo21\n", "kRL+5T4RWQHVsb8PtbI3eWYoIpo7z4P66O6w7t8qIpfBIXqLyM8Rj7CbgiaYS5V1Ls+CXy2W6qq7\n", "HO4d7qqiSZuLvmYPpqHB1VV/XcnFRBs2l1x38BTmstRz32YuMckl5C3mayPd3m911GHnJcIRg0Nw\n", "qRLfk0AAACAASURBVMX0+RHwow3JxWYuP4b6Pl2Si86Tog68JZ5kCMsBQHpilr8mBjVCrv52F/Jt\n", "Lva7nZKenJdOanWkeIsdQvJmqBXjlxm/JJCcRXIp1EtYLCKhRVhVkSO5uNRi5r8PVWwugOqovhDz\n", "PpiD7INI29bWh6us8ybVYj7JJZe5fKT8b4K52LPwOiDUvuibII+5hJ5DD1y+AdOOCWYehwz6LrVY\n", "THK53CgjxFx8g+ynPNc1XAZ9M9CmDzYtTUguplpshfRkhfRkMcKSS0x9dClUEMxcuNpzTQyrH812\n", "2Bhq51Rfu8XWp2k0NfGKIkXUfz+Ax4nIViKyTfnbNrUCEZkq1WKbA3gGyYUVaXVjMYCfYH0shnKW\n", "diNFcnG1xYXGcVXmkuppY8LeCrUOLsDgszUpufjsVaE6XIznKqj9xF3t9MsAPRqfB/DD8jh19p6K\n", "O6Qnt8Jta/IhZYFeiLnYg4F+hjXgZy4utVjM5nK/kc7Xbr9z1AnjXgguycWUHnxoy1tMl2M+Tx3m\n", "Mgfp9iiN44x1KyZcNpeVdEpPbpGe3Itwu/kll79BjZXfwtPLDSBbRwpzuQb1BziIyN1QA0CznmaL\n", "AOyL27AIIf+kkOSir7k62R+N46oLj+p6iz3gTZWGRyyvlSa9xXzreFxbzpp5bGg7iYu5vDRAjzro\n", "ybsBHF2eurwB68Cc+bquu5CiFsuRXMzzkOSSOijfb/07JRfpCaUn5zvqjJWvMQvAX+xyrbxNG/TP\n", "hTuW4Cz0GYGpynItE8hhLr6gmvYCa/0d+7590+byXaj1Nq76fczM18+VfWkbqLHylbhARI70pG0U\n", "KczlPwBcTPJYkseUv6SQ+yQ3ILlOebwAwHPRF8WHkidRXA0hV2TAL7mYNFWVXB4G8D+ZeZtkLvZs\n", "qKpaDBhWi2mX1Rxjd4i5uBbqhdRfrnQuGuvAXB0P9BcbhgaeSwP3UpiLCcHg4O4K56HpSZVcdBm6\n", "b7lUieZ78tkbY4M+oRyBXHnaklxs1/3vGLTcVB7fjjBSbS5z4RnspSd2HToase9bMZnL+6QnZ8Hd\n", "x3wLt22byx1QQYd/gsH2qxulOhkpg8L/AjgPymPkMqg9A1L2DQCUrvqC0uZyCYDvi8j5pR3nEAAg\n", "uTHJ66E64YdI/p3kmuW906DUIo8heT3JN3nqybG52B9K6joXu6OZs/OUuEA5aFItZkdNfWb57+tk\n", "MZuLLbk8grz9blyDvfbecUkuvoHFZyOwje913bhNtYrruo2TpCenBspbYf3bcBn0zT7wOeu+OVin\n", "2ly04dicTdvtab5T3yBr5nFNgmZB9f/dHHly1Ds5zMVOe5umRXrisneFXJHtd/w963wO0j3K9DP5\n", "JjsmczEnDDZ8Dk72c1B68tPymc32HBlzSbEFzBaR91QpXESuALCH4/qxxvHN8ASdE5FXp1YVuR8L\n", "uW/+u+4B4ZlqqPO7Psxcg35lWB4py6Unv2YR5KOulcJAfwCyB+67oFwkY3iBkceGllxcH56vrXwD\n", "UNOSi71aOzY4xj7emEF/F+t8CoN94Gqoyd1eDnpi9qYvA/hXDD+Di7mY7ZaiFnONJdrOYU6wbLWY\n", "C7nMZX+oHTNdafUzzjLSXmDcd/VHncfnmacxF+mTx73L/xTmElLLpUoutuONxkRJLueUksYmJNfT\n", "v9YpaxYhyQUISC4sqK+HmEuIWfiYS6orcl21WCp0G63uue+TXO4CsG5C+f9n5LFRRS2WKrk0xVye\n", "BxX+XazrNmIfb4q3lAlTcrmhtJ+5JJfYOpeHAHyrPF7Nuu/qjyZDq8pcdBggl0ONydhC5ZppfQg5\n", "7Oh7BADpyTnSk5i04Rvc/2md50guGr4x1zTohySX78CtdrXHL1MtN7FqsddA2V1+ib5KLFUtNilI\n", "UYv5bC4pg1Muc4nBrDMU36gOCOCnGfW4XJFzmIvu4K721Dr/Omoxn+SSqha72nP9EQCQntwoPTGD\n", "HOr3+v88dPiQwly+bBwLhqUml6tyygp9vW+L3lo3xFzM/pBic/F9Py5PNDsvMDiJSnFFnoO+lDew\n", "jsNTj09cD61zsQf3WwDsYJzH9u5xIUdyGV7715OLpSdPSqhnHzObcTw5zEVEtjZckFf+RkFcBuqo\n", "xXR+X+fTs7xQW1WRXEKww780BV3vewC8R3pi7jKaMgNrgrn4JJeH4Jaacg36bUkudj36+k/QNxS7\n", "0ttIYS72TFxLES6VUso6lz9DuQ1rz6b5AMzYV1UllxTHFC2Vuug1z+91pNEYaqtyncofHfcFg95g\n", "A5KLAyG12B8w7G5tlrM+BpnLU6AY3jPhxx2e62ugbwsLSS4+mGqx26UnZhuEmG9r8NpcSD67NL6/\n", "HI5OJCJntUpZs6iqFiP6hs3QIBX6yHz1hWDXdR/8tpAQbrLOBQCkJ59zpE2VXGy12N1QGzqZ6UJr\n", "B3zMxefBk2vQr2pz8Q0+oXUlLjpSbS6hdD8E8A6j/LMAvNOoy6dK0m31dgBfMdLtAeVa/CALrgXg\n", "11ZeYngsyFWL+WCrxXw2F9PxJNdbzFYT7gzgdQC+gPCkBgj31bukJ7uxoKvd7wHwKAy2zVLpyTIM\n", "LmEwsQX8/XwB1ARrCn61XAghQ6pL0m0dodn4M8r/Azy/SUJdyQWoL7nYu3Nqr44qkos5IAqAMyLp\n", "v1T+29KH7RARqjcmubiYy2yo5zMlDvNDP8JxPZe51DXop6rFfOlikos56z8IwCci9UQlF+nJuej3\n", "J5Ge6MW8rkGOxjVd9mVmOunJA9KTB8tjV9BZoq8q0zBn2FVdkTUNPu82EyZd9ruNLVQcmJlLT+5E\n", "X0qLSS4hbzGXdKzTa/uL+X0H20N6coN+Dw7MLcsyJwm5ASZTpPyRMRev5CIivfLwoyJyjXmPZPIK\n", "/RGhDnN5EGGbi5Zcdg7VLz05lQVPcdRZ1eai/fVTOoNvNmjmPRhh6SQ24/bZXFzhPVwbGIWYywr0\n", "mcsfADzWqtdHjwk9AFZVi4UWobkwxFykJ99MqCfVoB+TUjRoXIu5Odt5zHNzgnAWgK8b55UlF+mJ\n", "sGCIuejnMwdd+5k/CeDlgWpc5dv/OZJLyKNPp38tlCRi73BZB9opo67k4mKYruNWkTKrc4VJj82k\n", "Jw22WmwB+mL4fQirxXQb2S6iJkIDQFW1mP6gY55lZnlebyHpyYmRwS/m8uxTi4VUGGZaTZvPoK9n\n", "yjpe1SeMez56TGj6m1aL/c1z3WQSOR9sKnOxB0fAzXBMyaXqgEoM7sh4qbEmBAgzF194Hjtd7JpA\n", "qfKA4ajaKSpbu1z7m6iiFgtJl5dKT87EYNvUNZY/DDVe6HJuzcjrC1wJTBpzIblzaW9Zh+TLSL68\n", "/D8YnpDqY0SW5FLqRTVCzAVIY8Cu+kOSS4pBP0fisT+o1HpMnAcV9TpWj81cQjaHVMlFG/SB/mxN\n", "RzVINehrbyNTcnkZlKoqBc73LD2xIwKH1GIpiK1zset52HHNlddU5+h0qaogSE/+CXcoeJuGgWzS\n", "k30A3Oi5r+GyubgG4sXlv72Q137eixz3r7XS2v/JbYE0tZiGGf+r7sD9MIC9DdXlpwFsn5jXt67F\n", "xvjVYgAeA2VbWRuDNpZ7AfxLm0S1gJBa7H6E1WJVXZHrqMXmoL9lbkpncM1yU/OaZVwGvz1Nz4zt\n", "PU5Cnj05zMVW6YQGUvO+xpDkIj35DgBEFo26aA2hLnPJlVxczCVmc4lJLjZ0Gcuh1MAnWvdjNpeY\n", "+sYlfbn6qu7zdsSHgfaVnjzdLl96sk1peNf901a/5UgueqKT8j01ufHWI6a7u/RkOfwu8ibeB7Xj\n", "5IVQkzKXZLqy2LpEpiJkczkbwNkknyIiF4+KoIrIkVzMbU8BJbkQzUsursEhlD5UdqpazPYoy2Uu\n", "sRmP7UbpYi6ugQ8Iq8VMlY49s0+1uWjmYttcUkEAr0R/oaEPfwWwIwbprMJcUmxcwODg5aonpBZL\n", "na3r81MBbCo9sYMx+tRSqbaBFJuLoB/pwWYuqVIeAGxkXauyzuV249iG3RZVA9q6UKks6cln9LFn\n", "ImVvPjgSpAycLyP5KJJzSZ5P8jaSr2+dsmYRkly0CBqzuYTQtFosN61OYw/cOR3JHJxcrpSC4Y2R\n", "XDYXEy7JxVe3T3LJZS62zSUVRDygIaAY0CEAjjHoaEpyMfc7T2UumuGb0l8VmwukJ4dIT1ySqytK\n", "xFPQt7f4mMs65X+KK7JAufYCbsnl4+gHf7RhfmObDWTsq6p8bTF0vZQYgL4kpXGV9ORaDMZfj0XQ\n", "eBLSpA8gXwq6CcM0uhDbCrkVpAyc+4rIPQBeCKXX3A5qj5dJQh1vsZ9gUCS3MSrJxe5Yz4mkd9WV\n", "Uk+oDF3Oizxl3Wxdi3mzrRzELH20Se+96LtgAtXVYmb04qrMJdpe0pMHpSf/i76xtUmbiyuMSWzA\n", "2d+gw2YuuZKLD0OSi/TkV4bt0kejdiF2qcVc4V98zGVKevIhuKXKp6IfWuj9AP6zPDafaQ+kb/Vh\n", "0mOGzT+t/KFkMCiPb4La0dJdWE8uRbphPldyWeFxLbcxscxFq85eCODb5b4sIyMwETnMZeBDkJ7c\n", "XObf2JEv1eYSGih86g+T5k2hQuyYuNeRzofU2X2sjJia4zbr3MVczA/JN2iZ7XV2yXickkvASDrQ\n", "5ka61QL1hpCbx1TbNSW52OubgIjkYoR2r+MtFoRncysTrrUe5xnvJMRczOunlcdBm4tF28W6HunJ\n", "p42I1ObE5nLpyRWeInxt8VsMbg+yLNAXfWVrhNrvc0Y9Taxr+TSU67aJiWUu3yf5JwB7Ajif5KPR\n", "XryrthAKbAeEG7yuWszFXOz09zuuhQL7pdQP5A0iUwjPqgXDhl2XzQUALjbuu2C2iW2ATVXl+Z55\n", "NSj3+Y8klqORG5rfHDibYC62s0TIoO96ry61WFOSSwzXGcdmoE+NJLWY9ERHDpgHN0OqS6cLPi/B\n", "3aUnS41LIbfk2wCE1v557WvSk/egv+dMruQyRJP05P3SE3sh72QyFxH5D6ggaHuKyHKogfDFbRPW\n", "MFwvN8WDoo7NJaTWCBnBNUzmkqoW+w2G95xIRWwRnmD4WXw2l9hgYDoGaMnYHhhTnRhMfAfAX8ot\n", "YT8WyW8jd+AybUJNGPS3QgXJxbpnezmlPlPdQfu16Ev+K4CgtONTf5pYDYNq6ipG6KrPVEkLID35\n", "W+B2jH7bDT8V9sZxPkwWcyF5uHH6LBFRnUbkfqg4R5OEHLVYbuPWdUVOWVglGP4YchZk6c77AgzG\n", "aMr5wFyqKfu+PbO6Fu5nt5mLvXOpuS7C5zoag0tF9DKHp1Mqcm01VZlLyKC9piNdCnM5FMBS9DUK\n", "2rnB13cblVykJ/eXgRI/CqWWsbEcQKGTl/8hN9950hNXlOQcOptmrHW8rGJ9Wr+3HMlle6idJlPg\n", "mrS0jtCs3IxLdYR17/kt0NImUt0+baRKLi6EBsuUF5yj09f3b7XSVlWLaZoPhxHjCoMD3YYAvuGg\n", "LaX+vxrHH7XqTJVcmnapHJVazAzXYmIKwAnoO8uEJN+BdpWefLH0cNJM5QEAHwBwip3Rld9xXgnS\n", "kx6Arzmui/RW7tsesrlo5Loiu5D6TKnvvc6g3LjkIj25urQXp8B8xpG5IqfsRDkdUFdyacPmksNc\n", "XJJL6iALnVd6MmX5uVeVXHTdN2Mw/InZ+e8v40alSC4mHY8DcD3U5OVM6clvrTorSy41UUctVqUe\n", "l83hEONc27dcNhcfNHN5UHry35l0peJPAH7guyk9uY4F1w/kj3kBAn6D/g1x8rLxdvT3uTHrstGm\n", "5KKZS5NrZkxM1iLKGYacRVgmmljnUlUtljN4NaFT9dlcTDpcXkGuttWD3BBzkZ78AVi52Mu1yDKH\n", "qTaJUdlc9LtySS4mtFooRw8/BQDSkyqBK2PQ9rUTY4xLeuLbswQYlFy+BLW9wAuM60/BcDgZ3TZf\n", "Q3pcw6T3KT05ObG8Ov0xVS3W5Gp/ExOnFtuV5L0k7wXweH2sz2MFk5xP8hKSS0leSfIoR5qdSF5M\n", "chnJ91r39iP5J5J/JWnv9mejiuSSatDPcUW+xXEtxaAfKjMlfRMupy6bi7n2w1aL+QyyAkAvss1R\n", "NeV6izWNUTEXDW+Q0RKaQaca9IHqqqBovgbiZq0sqvxfIT35d+nJj8zr5fqZ6300ZNjUqqqz25Bc\n", "UtVibUkuk2XQF5HZIrJW+ZtjHK8lIlGJR0SWAVgkIrsD2BXAIpJPs5LdDmWMHDACkpwN4IsA9oOK\n", "RvxqksGQ9xFy6kQrzZFcXCH3q6rFmpBcmnZFdkWAdRnWNZN1qcV8sNsrtvK5aVQ16Ne1uZxrlacR\n", "Yi51bSSt2FwSkRpbzcQo6fOhzqBsrw+zoZlpW8zl+wDeWB6Pn7k0AZGVHh/zoCSAO6z7t4rIZRhu\n", "1L0BXCUi14rIwwBORz3357YN+nrW9V4o2s069f/xgfpizCXWIepu5QukqcVWDnSeBXJmeiCfuQFq\n", "NTYtb6FRYBxqsdvRj/Drk1xybC5VB+FxMJeQQd/GKBbFxlBHcjkU4XUwOqxNK8yl9OY7SZ+2UYcL\n", "rTIXkrNILoVSFy0WkSsTs26GPjcHlCFvM09aYLIM+rZ6JzXE+rgll5haDMhX8eX0rxwbVazeFJxn\n", "nVf1FkthLv9nHK8MNCk92QCAtl/kSC4+VHW/nQTJZVKYi4+Oyv1NenJfaB1MuTvl5oFdKpvERAWu\n", "rAwRmSrVYpsDeAbJhalZkytZDOBcbIrF8G/rVJ25hGwuW3vy266WIWnAPPd5i6UgdT1DCC5XZBO2\n", "Wsy87kOOWsxrc5GeND34CYCflsc6Eq9dR2xrXZPeVC8uQH1zqxmSn08CrKIW+6vnuo1xqpl873nc\n", "3n8xtDooS09ie+LUAsmFOB5n4GPYleSRbdal0Spz0Sjjkf0Q6cHjboTaQlRjC/jcEBcB2A83YhEG\n", "Y5UOoopaTBsafeEhzJAXLuZif0S2gd6Vx0VTysy4KcnF5anlM+i76vMhh7nUsY/lQKsyNROxabwr\n", "JT/S3s8AczGi7trluPLo9rgM/T7pJkgZx6t806NkNlMADkTeex4lfY1LLpMAEVki18or5RH5kMjK\n", "NUetojXmQnIDkuuUxwsAPBeDgeAGklvnlwHYgeTWJOcBeBXCYU3aUIt9C9VckW3JZdRqsapYOQM3\n", "ZtW2R52LuaTYXHIM+qMQ210MwW7DWJvmMJePANDekPYCSOd7NtyJZ5Xne0lP7MXMw0SleXXZ7yM1\n", "JLwrby5EenKmg85VWnKZiWhzncsmAE4kOQvqAzlZRM4neQgAiMixJDcG8GuoUNtTJA8DsIuI3Efy\n", "HQB+DKXy+ZqIuPYYSUWV2bDu7LnhX3xqsZBrcV3JxefHXsX7KURHilrMPJ9UV2TblmRe14i99+T3\n", "Iz25GMDFLPiZQLmuMr6J4Q3amoC57mjUKjLX+z0RSrPhQxVbRJXnOhT+zeKmteQyDrTGXETkCqh9\n", "FOzrxxrHN2NQ/WWmOwfAOQ2RU9dbbAXCg02uQT/X5pKjFjORa3OJSXW5arFQ/Q8CuNQ4H7VB34ZN\n", "65+R9s5zXZF972qoDOnJQRnl5mCcNhfXcx4cSP8Hw7U9B9nPKD35YuB2J7lkYiQ2lxEg9nHHwneH\n", "BlXNXAC/q2CuQd+FKmqxd5X/rkFwCfw797ngGiTNGW6uQf9O9HcqHPrQpSerW6HBRym5vA9xtdj+\n", "UMEBfciRLEP1VEHT61xGWXfO+z0HwFdr1tcUOsklE6tK+BcTqTYXLU2YzOUUAAc70oY2Q0pVi1Vh\n", "Lnrmbw5YOs7YokA+F3xqIpMuLbkca1xzDhbSk/UAgAV9wRNt5EoulSE9+SwLvtu6PPCsCW6hVZmL\n", "TxpqawGdC5PgLRaF9GT/eCovfoO4U0YOOsklE6uK5FLlvh7wZyNubA55i9VlLqG6dJlDzKUCUtQ7\n", "mrlcZFzTeXYI5KvlilzC3l0vByc4rnmltESY7/kvGflce7ZTelKFuWxeIU9d1J3Bj0QCKHefXLfJ\n", "Ihssa5XATGEuOUjtJC61mB743pqQLya5pDI8O61p93BtClUnplKMJj0AhphpzFDuQ2uSi/TkTa7L\n", "1nmdFfpvQn+9TAyNfXM11kZMC8llwjBd6R4bZopaLDQopszIU9VivgE0ZNBPGTRDBn27rhUA5lpp\n", "zFApdSQXG3ZZoThpdT++XJtLGzNo/Xy7ZuQX6clD6AcfjGFVt7lMVwlgutI9NswUySX04lND3vuu\n", "5TIXW3KJeouVxvLU2GLm8+gyj4MK8AlHOalI+Xhcz58SIr+JdS6nYtDW0wYuBPBs6ckVCWlTbGIu\n", "NBFWfZzMpS6m6yDdSS6ZmCmSSwgpAfJybS52+roGfRd8aaYcxw9Lb+U6oKZtLrTS2LAHWbuMP6If\n", "aiVWP+CZDJSbir2dBQ9x3a8Ae0LAcuHiBYn5q3i37QG1NfSqjOk6SE9Xpjg2zBTmEpNcXJJFLH9I\n", "cgnlt9VETa/Qd0kuJupsyxyzQ8TCw9j3ID3ZBWkY5Qp9wMFcKuZPHnSkJ74IFaNGpxbLx3RlimPD\n", "TFGLheBTi6VuFlZXLVZVcjHr8hn0Xc82arVY0zaXVIN+apBGH2ITjtT803Gw7Az6+RhVzLsZg5ki\n", "uYTwCOoNHrMxHC24rkE/xaMqJrlcARUH+j4Mbk9QZQZOqK1W/wDgH4G0roEhxeaSghzJ5TLpSd1B\n", "yn5nuXviNMVUq6DumpjO5pKHZ2EwmkSHBMwU5pJj0M+1ubQhubhgS5G+mbUu5+Byod9aVr6qA8cZ\n", "pc1h00BZKWqxqhi1JDCdJZdl8SRBdJJLBqQni8dNw3TETFGL5dhcUvM35S1W16Dvk1x8ZVTa9MqI\n", "wmvDZdBvnLn4ogMn0JSKs+DfeKsN5rIA6c4BuUh1e/ahYy4dWsdMYS4hVJVcgL7kYqu6UphLzgp9\n", "XZeJ0DoXu7xQOTHkDKwhtVhT6rEUVAlK+HL09xG3UWXA00zZ+bzSk2UVy01BXcllnJiOarEOFbAq\n", "qMV8NpfUwJWmzSXHW6xJyeUbAA6zygsxxBxcCjXLTimrTbUYADxVenJvA+WkwHwfX4Ta9iEH45z9\n", "190Ot5NcOrSOmcJcQqjq5VHV5mKnqRsVGdKTy1isvN00c1mYkSfbFTkH5b4nKWhicDTb9/AGyhsl\n", "xqkWW1VdkTtkYqYwl7bWuRDARqhmc7HVRbHYYrneYo3YXKwtd6PJA9dGOWhUHeBS3M+bRFt1dGqx\n", "DhOPzuYSvvYEAIcjbldwqbx8TMZXn4+mtm0uIdgh90PhX0ap7qj6jN8D8K/lcd1BLoWGNnaRBDpv\n", "sQ7TADOFuYQGiqqBKwFAh+y2jfMpkot9nrtCP8bImlKLJcNjvG5MLdY2pCf3Sk++ok9HUOXbAGzb\n", "Qrm31cw/zu9+YvtHh2axqjAXV9oUg75Ok+MR5WMSK+nwDNKp+7mMjbkYMPvNOJjK9fEkrSP6vNKT\n", "e6Qnf2uh7qPRD1RaBZ3k0qF1tGZzITkfKsrsagDmAThbRD7gSPcFAM+HCht/sIiKv0TyMKh9Uwjg\n", "OBE5uiIpKTYXH/Sq7ZjqJ4W5xepNtbnEBvMmJwy+QcjFmEfFXDZAMzaHaTuDLjcW+2M04WTimnET\n", "0GE0aI25iMgykotE5AGScwBcRPJpIrJyF0OS+wPYXkR2IPkkAF8G8GSSj4NiLHtBhbo4l+QPRORq\n", "X3UBUlJmSj7JRQ/UOQZ9X/2jYi6jmJW67DAjmZFKT25vqqia+cc5+6+LcXmLrQPg/hr5O0wjtOot\n", "JiJ6E6t5UFKAbeB8EYATy7SXkFyH5MYAdgZwiYgsAwCSFwJ4GYBPVSDj2ymkeq7Ptu7nMBdbpZY7\n", "mFVhZGa9TcFV3rjVYk1gutHbJMbCGKUnd4+j3g7jQas2F5KzSC4FcAuAxSJypZVkMwzqz2+Aim11\n", "BYCnk1yP5OoAXoCK+4VLT/4L6a7IjwB4lXFNt0/OCn1a/zrPPRFSBz5438pvR93BcmqiilpsukSP\n", "XZWZS4cOraNtyWUKwO4k1wbwY/L/t3fmQXtNdxz/fCMRiSWxVSzRZGo3ikQJtbyUUEWZmqGDmtDq\n", "jCodxk4fmaGq1SpmamstTUsYNcRULSEZrS3IIsWLoLWNxNLYFe2vf5zzyPXkPut77/O8z3N/n5l3\n", "3nt/95x7z/kl7/3es/2O+sxsdkWy5V5gZtYv6QLgbkIzeh7Vul1mAR8xnhHAOGB8/WLVsFVbe9LM\n", "VORynkphuj/+3jQlT5ZkJS5nEeJxjavzjFpTrgczRRaXbu7Sc1pAUh9hwXTbaMsiSjN7R9JfgO2A\n", "2YlLrwJjE+cbRBtmdjVwNYCknwEvpd58dwCep7asNDoVuVoLp564zE25Z/kP2ACsZK9rqkbGSMaw\n", "/Bd+o3/wbWm5WMnOA9BUjUu5nGzxVvqkKOLSzS/oVsu+Jx56viuJH/Wzy+eSSnk/M8/ZYmsBn5nZ\n", "UkkjgL2AqRXJZgDHAdMlTQKWmtnimP9LZrZE0obAQcAOWRcxxVZv+u9yL04rWeV9yqE5lutyTAhL\n", "2r0a6YKCINC1aMf08l7oFisyLYmLlezerAvi9C55tlzWBa6TNITwwptmZvdKYQ90M7vCzO6QtK+k\n", "RYTurymJ/DdLWpMwW+xYM6s1ZtHMIslmVuiXaXidi5XsTU3VGEK3Ui1aFZd6tHu2WLWIBIOdIneL\n", "7UjvrHFzBil5TkVeCExIsV9RcX5clfy75lS01MdV/K48biqsvJVssaZqSJ20jYpLmTWBRqbhdmq2\n", "WLPbFHeagYrLi8CvsyhIu7GSPdzpMji9T698veTRcknSyp4l9Xzb1Be+law8jfuJOkk7tc6l27rF\n", "BiQuVrJPrGQnZVUYx+k1ekVcBkq98ZdWxKV8zw8IU7ErabVb7MQ6z+30mIt3izmO0zPi0mpgykbT\n", "ttxysZJ9aiUbk3K90dlilfb365ShI2MuiXU5hWi5OI5Tm6KIS6NpqwWzbOWrPKtuscqNod5PdV0G\n", "gwAACp5JREFUTbWMdotLJS4ujuP0zGZh9Wg1cGWZdoy5pL2wR8S92MvMBf5ZIz0sC1mTFWnPqSUu\n", "3dIt5jhOjvSKuOTxFZo25tJMHK16LYi6L+EKYcFKNhEgseVxGuvULdnAqSWc3SIu3nJxnBzplW6x\n", "eqS1XJJv6Ea3v21GXLJoudSiWhDA9Zu8Tyt4t5jjODXplZbLQKkMNgnpgpSnuDQs9ClRAZIsJobQ\n", "yYh+QgS3JL3QLfY48EynC+E4vUqviEveX6F5iEteX/hbEqI7Z4KV7N/AHhXmWnXripZL3CFys06X\n", "w3F6lV4Rl3q0MqDfymLLJHl3i6XSpj0zeqFbzHGcHOmVMZespiJXoyMD+oOYXugWcxwnR4oiLo0K\n", "SifHXLophHsvzBZzHCdHekVcmqHebLHKdMnjPMdcuklcvFvMcZya9Iq4ZBn+pVb+PFsu3UTXD+g7\n", "jpMvvSIuedDMdshpNDvm0istl24WTcdxMqIo4tLobDHVud6O2WJXNfGMTpEUl8ppz95ycRynZ8Ql\n", "j9liA225tCouma1RyZHP62Yl+xewfeKat1wcxymMuKRdTxvQr9bd087ZYmcAOzRw/0GDlezRxKm3\n", "XBzHyU9cJK0k6RFJ8yU9Jen8KukukfScpAWStk3YT5f0pKSFkq6XNLzG4/IOXKkKW24r9K1kS61k\n", "cxq4fyfx2WKO49QkN3Exs4+B3c1sG+CrwO6Sdk6mkbQvsJGZbQwcA1wW7eOAHwATzGwrQhj5QwdS\n", "nCrHjdKKuLR1QF9S30DyN0m1/zfvAA+0sRyptNkXgxr3xTLcF+0l124xM/swHq5IEIi3K5IcAFwX\n", "0z4CjJa0DvAu8CkwUtJQYCTZBmNshHaPuQyUvozvV4sX04xWstFWspvaWI5q9HW6AIOIvk4XYBDR\n", "1+kCFIlcxUXSEEnzCZF6Z5nZUxVJ1gdeTpy/AqxvZm8DvwJeAl4DlprZzBqPynInyk7PFhvsrARM\n", "73QhHMcZ3OTdcvlf7BbbANi1SrN0uZeqpK8APwHGAesBq0g6bABFafTFXS38S9me5U6UXTk2YSX7\n", "j5XM90JxHKcmsja9JySdDXxkZhcmbJcDs81sejzvB3YjNF/3MrPvR/sRwCQz+1HFPf0l5ziO0wJm\n", "NfeFGjC5hdyXtBbwmZktlTQC2AuYWpFsBnAcMF3SJEL312JJzwBnx3wfA3sCy82gyts5juM4Tmvk\n", "uZ/LusB1koYQuoimmdm9kn4IYGZXmNkdkvaVtAj4AJgSr82X9AfgMUJX1FzgyhzL6jiO42RI27rF\n", "HMdxnOLQtSv0Je0jqT8uwDy10+XJAkljJc2Ki0f/Ien4aF9D0j2SnpV0t6TRiTynRx/0S5qcsE+M\n", "C1Cfk3Rxwj5c0o3R/rCkL7e3ls0haQVJ8yTdHs8L6QtJoyXdLOnpuCh5hwL7YrkF1kXxhaSrJS2W\n", "tDBha0vdJR0Zn/GspO/VLayZdd0PYc3MIsJssmHAfGDzTpcrg3qNAbaJx6sAzwCbA78ATon2U4Gf\n", "x+MtYt2HRV8sYllrdA6wfTy+A9gnHh8L/DYeHwJM73S96/jkROBPwIx4XkhfENaDHRWPhwKjiuiL\n", "WJ8XgOHx/EbgyKL4AtgF2BZYmLDlXndgDeB5YHT8eR4YXbOsnXZWiw7eEbgzcX4acFqny5VDPW8l\n", "TGboB9aJtjFAfzw+HTg1kf5OYBJhvOvphP1Q4PJEmh3i8VDgjU7Xs0b9NwBmArsDt0db4XxBEJIX\n", "UuxF9MUahI+u1WM5bydMFiqMLwhCkRSX3OsOfBe4LJHncuDQWuXs1m6x1MWXHSpLLiiEwNkWeITw\n", "H2dxvLQYWCcer0eoe5myHyrtr7LMP5/7zsw+A96RtEb2NciEi4CT+eKC0yL6YjzwhqRrJM2VdJWk\n", "lSmgLyx9gfU9FNAXCfKu+5o17lWVbhWXnp6FIGkV4M/ACWb2XvKahc+Gnq4/gKT9gCVmNo8qi2CL\n", "4gvCF+QEQnfFBMLMytOSCYriC6UvsD48maYovkhjMNW9W8XlVWBs4nwsX1TVrkXSMIKwTDOzW6N5\n", "saQx8fq6wJJor/TDBgQ/vBqPK+3lPBvGew0FRsWvwcHGTsABkl4EbgD2kDSNYvriFeAVs8+3NriZ\n", "IDavF9AX2wEPmtlb8cv6FkI3eRF9USbvv4m3Uu5V953breLyGLCxpHGSViQMPM3ocJkGjCQBvwee\n", "MrPfJC7NIAxaEn/fmrAfKmlFSeOBjYE5ZvY68G6cUSTgCOC2lHsdDNybW4UGgJmdYWZjzWw8oU/4\n", "PjM7gmL64nXgZUmbRNOewJOE8YZC+YIwvjBJ0ohYhz2BpyimL8q042/ibmCywqzF1QnjXHfVLFWn\n", "B6cGMKj1TcLA3iLg9E6XJ6M67UwYX5gPzIs/+xAGMWcCz8Z/5NGJPGdEH/QDeyfsE4GF8dolCftw\n", "4CbgOeBhYFyn692AX3Zj2WyxQvoC2Bp4FFhA+FofVWBfnEIQ14WEWXTDiuILQiv+NeATwtjIlHbV\n", "PT7rufhzZL2y+iJKx3EcJ3O6tVvMcRzHGcS4uDiO4ziZ4+LiOI7jZI6Li+M4jpM5Li6O4zhO5ri4\n", "OI7jOJnj4uIUAknnS+qTdKCk0+rn+ELetSU9IulxSV+vuDZb0qOJ8+0kzcqozOdIOikeXyvpO1nc\n", "13HagYuLUxS2JywK2w24v8m83wCeMLOJZvZAyvW1Je0z0AKmkIwTNWhiRjlOI7i4OD2NpF9IWgB8\n", "DXgIOBq4TNJZKWnHSbpP0gJJMxU2b9sGuAD4tsKmZStVZDPgQuDMlPutIOmXkubEex6TuHZywn5O\n", "wn6mpGck/Q3YtPKWMc3E2GJ6TNKdibhSxytsorVA0g3Ne8txsmNopwvgOHliZqdIuokQP+kkYLaZ\n", "7Vwl+aXANWY2TdIUQliMgyT9FJhoZsdXyfcQcJCkPiAZxfpoQkj47SUNB/4u6W5gE2CjaB8C3CZp\n", "F+BDQpy8rQkhTeYS4uh9Xp0Y2PRSYH8ze0vSIcB58VmnEsJ1fCpptWb85DhZ4+LiFIGJwBOEXT2f\n", "rpFuEnBgPP4jYYc/CC2G1LD/Cc4FziK84MtMBraSdHA8X40QPHAyIQjgvGhfOdpXBW4xs4+BjyVV\n", "BmMVoTWzJTAzxBxkBUKsKWIdr5d0K8uCFzpOR3BxcXoWSVsD1xJCir8JjAxmzQV2ii/x5bK18Cgz\n", "s1mSziUIVJLjLGxmlSzX3sD5ZnZlhf2EiudXK8uTZrZTiv1bwK7A/sCZkrYys/82UxHHyQofc3F6\n", "FjNbYGbbAs+a2ebAfcBkM5tQRVgeJIT3BziM5gf+zyW0XMoD73cBx8Z9MZC0iaSR0X6Uwm6SSFpf\n", "0trxeQdKWknSqsB+lVUiRAJfW9KkmHeYpC1i6PQNzWw2YSOxUYQWkeN0BG+5OD1NfGmXN3razMz6\n", "ayT/MXCNpJMJGy5NifaGZmqZ2V8lLUmYfkfYMXFufPkvAQ40s3skbQ48FLu23gMON7N5km4khNVf\n", "AsxJecansZvtEkmjCH/DFxHCrU+LNgEXm9m79crsOHnhIfcdx3GczPFuMcdxHCdzXFwcx3GczHFx\n", "cRzHcTLHxcVxHMfJHBcXx3EcJ3NcXBzHcZzMcXFxHMdxMsfFxXEcx8mc/wPrL0OUS/sQ0wAAAABJ\n", "RU5ErkJggg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot graphs\n", "plt.plot(trials, pi_list ,color='green')\n", "plt.title(\"Estimating the value of pi via Buffon's Needle\")\n", "plt.xlabel('# of Needles')\n", "plt.ylabel('Estimated value of pi')\n", "plt.ylim(3.08,3.16)\n", "plt.show()\n", " " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEZCAYAAABsPmXUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xm8HFWd9/HPlwCyhFWchE0QEcWNVUARCRIQFwI6irtR\n", "ebmMC4oLgo5Do47go6OO4+M4DwMSkVV2XDBhuYiKCJJA2GRQLntu8khYZJXkN3+c06To9L7c27fy\n", "fb9e/bpVp7ZfV9f99alTp6sUEZiZWbmsNtEBmJlZ/zm5m5mVkJO7mVkJObmbmZWQk7uZWQk5uZuZ\n", "lZCTewuS9pJ0yzhu7wZJrxmnbZ0k6avjsa0mMWwtabmkcT0WJa0t6UJJD0g6o4vlu/qcJB0l6fhO\n", "l+sHSS+UtEDSQ5I+IWmtXvbBZFN7rEkakXToRMc1KKtPdACDImkU+AdgWaH4RxFxWIvllgPbRsRf\n", "ACLiCuBFA4rxJOCuiPhytSwiXjqgbb0fODQi9ioUR36tit5KOj42jojlnS7c7ecUEcd2sxykZATs\n", "DjxFOq6vAz4eETe0uYojgEsiYse8vvfSwz6oia0CREQc0+Fyy4EbgB0i/+hG0teAzSPiA73E1IZS\n", "H/9lrrkH8KaIWK/waprYCzTIwGwobAXc2mtSG2dBSubrARsDI8DJHSy/FXBTzXi/9kEvSXJT4B19\n", "WpdlZU7uDUnaVtLl+XR0iaTTcvmv8yzXSXpY0tskzZB0V2HZUUmfk3R9nucESdMk/VLSg5LmSdqw\n", "MP9PJd2Xt3W5pBfn8g8D7wKOyOs5v7D+1+bhiqQzJc3Jp9I3SNqlsO6dJc3P086UdEa9ZhZJ2wP/\n", "Cbwyb+v+wuSNJf0sr+P3krYpLPei/H7+KukWSW9rsD/fLunqmrLDC+/pjTnOByXdKenoJp/NqKR9\n", "C+MVSScXxveQ9DtJS3MTw95N1rV9PvVemvfdgbn8GODLwNvz/liphpi3e5ak0/O++aOklzeKs1C+\n", "e/68VSh7s6TrGryfusdHKzkhnwE8Pb9qmtmKx66kS4EZwPfzez61dh8o+ef83sbycbd+Xr7apPE+\n", "SXfk/5sv1oaV590kH1NL87Hz6+L+qOP/AMdImlJvYrPPXNIGSv+D90q6W9JXtaLZZTVJ38qx/hl4\n", "Y7N9KumDkm6SdL+kiyQ9t9n8Qy8iSvkCbgf2bTDtNOCoPLwm8KrCtOXANoXxGaSmk+J6fwc8B9gM\n", "GAOuBXYAngVcAvxLYf73A+sCawDfAeYXpv0I+EqduF+bhyvAY8ABpLOJrwNXFuK+A/gkMAV4M/BE\n", "7foK650NXFFTdhLw/4Fd8zp+ApyWp60L3JWXWw3YEVgCbF9n3WsDD5Gas6plVwOH5OG9gZfk4ZcB\n", "i4CD8vjWeZ+vVvv+8/jRwMl5ePMc7wF5fGYe36ROTGsAtwFHkpof98kxbldY74+bHD8V4EngLXnf\n", "fBb4CzClXpw1y94GzCyM/xQ4orDek9s5Puqs9zJS01r18/9XYKTR8cTKx+5lwAdr9u2PC+MfBP4n\n", "fybrAmdXpxc+p/8iHecvBx4HXlQnzmNJlYkp+bVnk/e0HNgWuKbw3r5GakJt9pk/O4+fm7e1Nul/\n", "8irgw3naR4Gb8zo2yu9/WeFYe3p/AAfl9/5C0vH+JeC345WvBvEqc81dwHn52776ql48eRLYWtLm\n", "EfFkRPyuw3X/R0QsiYh7gStICfe6iHiCdLDtVJ0xIk6KiEci4u/AMcAOktaribOZKyLiokhH4E9I\n", "XyIAe5ASzX9ExLKIOBf4Q5P11NtOAOdExDURsQw4hZTEAd4E3B4RcyJieUQsAM4BVqq9R8RjwPnA\n", "OwEkvYD0T3JBnn55RNyYhxcCp5MSfjuKcb8H+EVEXJTXdTEpKbyhznJ7AOtGxHER8VREXAb8rBpj\n", "Xm+rfX9NRJyT9823gbXyels5jRX7Yj3g9blsJW0cH0UCvidpKemL6mPAV+rM04xqhovj7wb+LSJG\n", "I+IR4CjgHXrmxe5jIuKJiLie1Oa/Ayt7ktTUsnU+Nn/bIqblpLOIL0tao2Zao8/8jZKmkfbt4RHx\n", "WEQsAb7LiiaeQ4DvRMQ9EbGUVDlqtH8+ChwbEX+KdFZ0LLCjpC1bxD60ypzcg1Q73KjwOiFPO4L0\n", "If8hn653euFmrDD8WM3448BUAElTJB0n6TZJD5JqewCbdLmtR4G18j/bZsA9NfPeRefXC2rfy9Q8\n", "vBWwe/HLkdSMNK3Bek5lReJ8F3BuRDwOTzdVXCZpsaQHgI8Az+4wzmpMb6uJaU9gep15NyPtj6I7\n", "SLW4dt1dHchfrnfn9bZyKvAWSWuSav5/jIjaWBodH0Hj4yOAT+ZjeS3gQOAsSS/r4D01a8/elLSP\n", "qu4knfUUP/NFheFHSTX8Wt8knb3MlfRnSV9oGVTEL0n79yM1MTb7zJ9LOuO5rzDth6QafPX9FPf7\n", "nU1C2Ar498J6/prLOzlehkppe8s0ExFjwIcBJO0JXCzp8sg9ZLrQKKG+C5hFah66Q6kt/v7C/L1c\n", "OLqPlQ+855L+qerpdFt3ApdHxP5tzn8x8BxJO5BqTp8uTDsV+B7wuoh4UtJ3aJzAHuGZCWM6K2K/\n", "k9Sk8eE24rkX2FKScmKG9A/cSbfWp2tt+Qt1i7zepiLiZkl3kGqV7yK9/3paHR+ttvMbSbcB+wEL\n", "SftuncIs9b70nrGKmvF7Sc0vVc8l9cwZy8NtiYi/AZ8DPifpJcClkq6OiEtbLPol0hlO8Syn4Wcu\n", "aVNSU+Szo/5F4ftq4m72Hu4EvhoRdc+wJqMy19yhwT+J0oXSLfLoA6SDvHpwjAHP79P2p5IOvvsl\n", "rUs6LSwaA7ZZaan2XAksU+qvvLqkg4BXNJl/EbBFzWlvsyTyc2A7Se+RtEZ+vUJS3W6huVnhp8C3\n", "SO2b8wqTpwJLc2LfjZTUGn3ZLCA1BawuaVfgHwvTfgIcKGn/XOtdS+miYb3a1e9JNcsjcuwzSE1N\n", "pzd5z7V2UboYujrpy+rxvN52nJqX2Yu0X+ppdXzUU7xQ+0rSBdUbc9EC4A2SNpI0nWd+wa60PCt/\n", "/qcBh+eLp1NzPKc3SJyN1lG9gL5tvoj6EKmde9lKS9aIiMtJ3SJnF4obfuYRcR8wF/i2pPXyBdTn\n", "a8XvD84EDpO0uaSNSNdfGvkh8EWt6PCwgRp0IJgsyp7cL1TqCVB9nZ3LdwV+L+lhUlvxYRExmqdV\n", "gDn59OyttNcXNmqGq+M/Jp3m3kM6aK+smfcE4MV5W+c0WG/ttgMgIqoX+w4FlpLaS39Gau+s51JS\n", "ElgkaXEb638Y2J9UC7+HVAs6lnQhr5FTgX2Bn9YkhI8BX5H0EKlttfYHM8UYvkz6cl1K+ixOeXqm\n", "iLtJF76+CCwm1bY+S53jOH/ZHEiqPS8Bvg+8NyJubfLea2M6H3g7qTb9buAtuf29HacBryH1Ky/2\n", "Turk+Kin2tvl4bz8lyLiV3nayaR28FHgItIXWd3Pt04sACfmdfyadPH4UdIF+3rLNit7AenL/WFS\n", "54P/mxN3PbXL/zOpm2f1OGz1mb+PdEzeRPqcfsqKM5bjgV+R9sk1pAvEdfdvRJwHfAM4PTeRLQRe\n", "1yDmSUErzlgbzCC9kGfWdrYh/QP+hPRPuhXpYDokIh4YTJjWDklXAT+IiDkTHctkp9Rdc9uIeO9E\n", "x2LWjZY193z1eKeI2AnYhfRtfi7pFGdeRGxH6v7X7JTHBkDSayRNz00Ys4GXkmps1jv/kM0mtU6b\n", "ZWYCt+Ur/7OAag1xDnBwPwOztryQ1M66FDgceGu+WGy9a6c5zmxotWyWecbM0omkvr8/kLQ0IjbK\n", "5QLur46bmdnEarvmnvvsHkidK/+5q5lrOWZmQ6KTfu6vJ/0YY0keH5M0PSIW5f6mi2sXkOSEb2bW\n", "hYjo6bpPJ8n9nTzzxwUXkPqjfiP/Pa/eQr0GOB4kVSKiMtFxNDMZYgTH2W+Os78mUZw9V4zbapbJ\n", "P7CYSbq3SNVxwH6SbgVem8fNzGwItFVzzzcR2qSm7H5SwjczsyFT9l+otmtkogNow8hEB9CmkYkO\n", "oE0jEx1Am0YmOoA2jUx0AG0amegAxktHXSE7Xnm6Z9PQt7mbmQ2TfuRO19zNzErIyd3MrISc3M3M\n", "SsjJ3cyshJzczcxKyMndzKyEnNzNzErIyd3MrISc3M3MSsjJ3cyshDq55a/Z0Gt1q1TfDsNWFU7u\n", "Vj6VDsvNSsjNMmZmJeTkbmZWQk7uZmYl5ORuZlZCTu5mZiXk5G5mVkJO7mZmJeTkbmZWQk7uZmYl\n", "1FZyl7ShpLMk3SzpJkm7S9pY0jxJt0qaK2nDQQdrZmbtabfm/u/ALyJie+DlwC3AkcC8iNgOuCSP\n", "m5nZEGiZ3CVtAOwVEScCRMRTEfEgMAuYk2ebAxw8sCjNzKwj7dTcnwcskfQjSddKOl7SusC0iBjL\n", "84wB0wYWpZmZdaSdu0KuDuwMfCIirpb0XWqaYCIiGt1qVVKlMDoSESNdxmpmVkqSZgAz+rnOdpL7\n", "3cDdEXF1Hj8LOApYJGl6RCyStCmwuN7CEVHpS6RmZiWVK70j1XFJR/e6zpbNMhGxCLhL0na5aCZw\n", "I3AhMDuXzQbO6zUYMzPrj3Yf1vFJ4BRJawJ/Bj4ATAHOlHQoMAocMpAIzcysY20l94i4DnhFnUkz\n", "+xuODTM/ws5s8vBj9qwzlQ7LzWxC+PYDZmYl5Jq79U2zZhs32ZiNLyd3659Kh+VmNjBuljEzKyEn\n", "dzOzEnJyNzMrISd3M7MS8gVVmzD+UZTZ4Di528SqdFhuZm1xs4yZWQk5uZuZlZCTu5lZCTm5m5mV\n", "kJO7mVkJubeMTTqtulCamZO7TVaVDsvNVjFuljEzKyEndzOzEnJyNzMrISd3M7MScnI3MyshJ3cz\n", "sxJqqyukpFHgIWAZ8PeI2E3SxsAZwFbAKHBIRDwwoDjNzKwD7dbcA5gRETtFxG657EhgXkRsB1yS\n", "x83MbAh00ixT++CEWcCcPDwHOLgvEZmZWc86qblfLOkaSR/KZdMiYiwPjwHT+h6dmZl1pd3bD+wZ\n", "EfdJeg4wT9ItxYkREY3u9yGpUhgdiYiRriK1Sc33gzFrTNIMYEY/19lWco+I+/LfJZLOBXYDxiRN\n", "j4hFkjYFFjdYttKvYG0Sq7RZZrYKypXekeq4pKN7XWfLZhlJ60haLw+vC+wPLAQuAGbn2WYD5/Ua\n", "jJmZ9Uc7NfdpwLmSqvOfEhFzJV0DnCnpUHJXyIFFaWZmHWmZ3CPidmDHOuX3AzMHEZQZuJ3erBe+\n", "n7sNr0qH5Wb2NN9+wMyshJzczcxKyMndzKyEnNzNzErIF1TtGdxDxawcnNxtZZUOy81s6LhZxsys\n", "hFxzXwW56cWs/JzcV1WVDsvNbFJxs4yZWQk5uZuZlZCTu5lZCTm5m5mVkJO7mVkJObmbmZWQk7uZ\n", "WQk5uZuZlZCTu5lZCTm5m5mVkJO7mVkJ+d4ytkppdtO0iNB4xmI2SE7utmqpdFhuNkm11SwjaYqk\n", "+ZIuzOMbS5on6VZJcyVtONgwzcysE+22uX8KuAmontIeCcyLiO2AS/K4DRFJ0eg10bGZ2eC1bJaR\n", "tAXwBuBfgc/k4lnA3nl4DjCCE/zwqXRYbmal0U7N/TvA54HlhbJpETGWh8eAaf0OzMzMute05i7p\n", "TcDiiJgvaUa9eSKi6am+pEphdCQiRrqI02zgGh3H7kVjg5bz64x+rrNVs8yrgFmS3gCsBawv6WRg\n", "TNL0iFgkaVNgcaMVRESlb9GaDVKlzTKzPsuV3pHquKSje11n02aZiPhiRGwZEc8D3gFcGhHvBS4A\n", "ZufZZgPn9RqImZn1T6e/UK2eth4H7CfpVuC1edzMzIZE2z9iiojLgcvz8P3AzEEFZWZmvfG9ZczM\n", "SsjJ3cyshJzczcxKyMndzKyEnNzNzErIyd3MrISc3M3MSsjJ3cyshPwkJrMW/Gg+m4yc3M1aqXRY\n", "bjYE3CxjZlZCTu5mZiXk5G5mVkJO7mZmJeTkbmZWQk7uZmYl5ORuZlZCTu5mZiXk5G5mVkJO7mZm\n", "JeTkbmZWQk7uZmYl5ORuZlZCTZO7pLUkXSVpgaSbJB2byzeWNE/SrZLmStpwfMI1M7N2NE3uEfE4\n", "sE9E7Ai8HNhH0quBI4F5EbEdcEkeNzOzIdGyWSYiHs2DawJTgKXALGBOLp8DHDyQ6MzMrCstk7uk\n", "1SQtAMaAyyLiRmBaRIzlWcaAaQOM0czMOtTySUwRsRzYUdIGwK8k7VMzPZo9hkxSpTA6EhEjXcZq\n", "NnT8CD7rB0kzgBn9XGfbj9mLiAcl/RzYBRiTND0iFknaFFjcZLlK72GaDalKh+VmdeRK70h1XNLR\n", "va6zVW+ZTao9YSStDewHzAcuAGbn2WYD5/UaiJmZ9U+rmvumwBxJq5G+CE6OiEskzQfOlHQoMAoc\n", "MtgwzcysE02Te0QsBHauU34/MHNQQZmZWW/8C1UzsxJycjczK6G2e8uYWX806z4J7kJp/eHkbjYR\n", "Kh2Wm3XIzTJmZiXkmvsk1+oU38xWTU7uZVBps8zMVhluljEzKyEndzOzEnJyNzMrISd3M7MS8gVV\n", "swFxTyabSE7uZoNS6bDcrI/cLGNmVkJO7mZmJeTkbmZWQk7uZmYl5ORuZlZCTu5mZiXk5G5mVkJO\n", "7mZmJeTkbmZWQk7uZmYl1DK5S9pS0mWSbpR0g6TDcvnGkuZJulXSXEkbDj5cMzNrRzs1978Dh0fE\n", "S4A9gI9L2h44EpgXEdsBl+RxMzMbAi2Te0QsiogFefhvwM3A5sAsYE6ebQ5w8KCCNDOzznTU5i5p\n", "a2An4CpgWkSM5UljwLS+RmZmZl1r+5a/kqYCZwOfioiHJT09LSKi0b2rJVUKoyMRMdJdqGZm5SRp\n", "BjCjn+tsK7lLWoOU2E+OiPNy8Zik6RGxSNKmwOJ6y0ZEpS+RmpmVVK70jlTHJR3d6zrb6S0j4ATg\n", "poj4bmHSBcDsPDwbOK92WTMzmxjt1Nz3BN4DXC9pfi47CjgOOFPSocAocMhAIjQ/rm0V0+zzjgg1\n", "mmZW1DK5R8RvaFzDn9nfcKyhSoflNnlVOiw3q8O/UDUzKyEndzOzEnJyNzMrISd3M7MScnI3Myuh\n", "tn+haoPl7o5m1k9O7sOk0mG5mVkDbpYxMyshJ3czsxJycjczKyEndzOzEvIF1XHkHjFmNl6c3Mdb\n", "pcNyM7MuuFnGzKyEnNzNzErIyd3MrISc3M3MSsjJ3cyshJzczcxKyMndzKyEnNzNzErIP2Iym0Qa\n", "/co5IjTesdhwc3I3m0wqbZbZKq9ls4ykEyWNSVpYKNtY0jxJt0qaK2nDwYZpZmadaKfN/UfAATVl\n", "RwLzImI74JI8bmaTiKRo9pro+Kw3LZtlIuIKSVvXFM8C9s7Dc4ARnODNJp9Kh+U2aXTbW2ZaRIzl\n", "4TFgWp/iMTOzPuj5gmpEND2Fk1QpjI5ExEiv2+ynVqef7oVgZoMmaQYwo5/r7Da5j0maHhGLJG0K\n", "LG40Y0RUutzG+Kl0WG5m1ke50jtSHZd0dK/r7LZZ5gJgdh6eDZzXayBmZtY/LWvukk4jXTzdRNJd\n", "wL8AxwFnSjoUGAUOGWSQvRrPK//uZWATodlx56bFVVM7vWXe2WDSzD7HMliVDssny7bMwMecrcT3\n", "ljEzKyHffqALbnqxycTH66rJyb1blQ7LzSZKpcNyKwU3y5iZlZBr7i34lNZWVe6BM7k5ubdSabPM\n", "rGwqHZbbUHGzjJlZCTm5m5mVkJO7mVkJObmbmZWQk7uZWQlNqt4y7pZoZtaeSZXcgebds5pNMzNb\n", "hbhZxsyshCas5u5fv5lZK+P5GMyyPXJzYptlKm2Wmdmqq9Jh+WTZ1oANPLlLmlwP9TAzK4HB19w3\n", "56yVyu5lKu73YjZpDUvPtfFs3p1sTcmDT+4fYoOVyo7lMZ5g7YFv28wGo9KkvN60RuXtTOs2jn4b\n", "z231gXvLmJmV0OTr525m1obxbDoaxiYbJ3czK6dKk/J60xrN3+u2JkhPzTKSDpB0i6T/kfSFfgVl\n", "Zma96Tq5S5oCfB84AHgx8E5J2/crsHF1+0QH0IbJECM4zn5znP01WeLsg15q7rsBt0XEaET8HTgd\n", "OKg/YY2z0YkOoA2jEx1Am0YnOoA2jU50AG0anegA2jQ60QG0aXT8NykpOn31Y7u9tLlvDtxVGL8b\n", "2L23cMzMSqbSpLzZtB71ktzb+3Y5iQdXKnuSqT1s18zMWlBEd2cAkvYAKhFxQB4/ClgeEd8ozDMU\n", "v2IzM5tseu1C2UtyXx34E7AvcC/wB+CdEXFzLwGZmVnvum6WiYinJH0C+BUwBTjBid3MbDh0XXM3\n", "M7Ph1XFXSElrSbpK0gJJN0k6tsF838s/brpO0k6F8qMk3ShpoaRTJT2rlzcwwDg/lWO8QdKnBhFj\n", "u3FKepGkKyU9LumzNdPG5YdkfYjzREljkhYOKsZe45S0paTL8vF5g6TDhjTOto7tiYyxMH2KpPmS\n", "LhxEjP2IU9KopOtznH8Y4jg3lHSWpJvz8ns03WBEdPwC1sl/Vwd+D7y6ZvobgF/k4d2B3+fhrYG/\n", "AM/K42cAs7uJYcBxvhRYCKxFanKaBzx/AuN8DrAr8DXgs4XyKcBteb+uASwAth+2OPO0vYCdgIWD\n", "iq8P+3M6sGMenkq6pjSs+7PpssMQY57+GeAU4IJh/MzztNuBjQd9XPYhzjnABwvLb9BsW139iCki\n", "Hs2Da5ISzP01s8zKgRARVwEbSpoGPAT8HVgnX5BdB7inmxgGGOd0YHvgqoh4PCKWAZcDb5moOCNi\n", "SURcQ9p3ReP6Q7Ie4iQirgCWDiq2mm11FWdELIqIBXn4b8DNwGbDFmc7yw5DjJK2IFWg/hsY6M2z\n", "eokzG5ebe3Ubp6QNgL0i4sQ831MRsXI384Kukruk1SQtAMaAyyLipppZ6v3AafOIuB/4N+BOUg+b\n", "ByLi4m5iGGCcm5Fq7XtJ2ljSOsAbgS0mMM5G6u7nfsdX1UOc46ofcUramnSmcVV/o3vGNrqOc7w+\n", "ix638x3g88DyQcRW1GOcAVws6RpJHxpMhEkPcT4PWCLpR5KulXR8zk0NdVtzXx4RO5IS3mskzagz\n", "20rfhJKeD3ya1IywGTBV0ru7iWGQcUbELcA3gLnAL4H5DPAAbTPOuosOKqa6G+s+znHVa5ySpgJn\n", "AZ/KNfiB6CXO8fosut2OpDcBiyNiPuNQK+5xf+wZETsBrwc+LmmvQcQIPcW5OrAz8IOI2Bl4BDiy\n", "2QI93RUynxb8nNRGVHQPsGVhfItctivwu4j4a0Q8BZwDvKqXGAYUJxFxYkTsGhF7Aw+Q2l8nKs5G\n", "auPfklR7H6gu4pwQ3cQpaQ3gbOAnEXHeoGIr6mV/jtdn0cV2XgXMknQ7cBrwWkk/HlR8Vd3sj4i4\n", "L/9dApxLau4cqC7ivBu4OyKuzuNnkZJ9Q930ltlE0oZ5eG1gP1LNtugC4H15nj1IzS9jpAS5h6S1\n", "JQmYCQzqdLKXOJH0D/nvc4E3A6dOYJxPz14zfg3wAklbS1oTeDvpPQ1bnOOmlzjzMXkCcFNEfHeI\n", "4+xk2QmJMSK+GBFbRsTzgHcAl0bE+/odY69xSlpH0np5eF1gf1Kz7FDFGRGLgLskbZeLZgI3Nt1g\n", "s6ut9V7Ay4BrST0zrgc+n8s/AnykMN/3ST05rgN2LpQfkYNaSLqYuUanMYxTnL/OcS4A9hlEjO3G\n", "SerFcRfwIOmi5J3A1Dzt9aQvzduAo4Y4ztNI11meyPN8YNjiBF5Nan5bQPqnmw8cMIRxvrzessMU\n", "Y8169maAvWV63Jfb5OUWADcM+f/QDsDVpFx1Di16y/hHTGZmJeQHZJuZlZCTu5lZCTm5m5mVkJO7\n", "mVkJObmbmZWQk7uZWQk5uVvbJC3Lt0Wtvo5oMu9BkrYvjB8jad8+xLCBpH/qYrlK7S1Uu9x+X9bT\n", "YhuH5Vu6ntzBMr8dZEw2+fTygGxb9Twa6R4c7XgzcCHpzopExNF9imEj4GPAf3a4XL9+0DEePwz5\n", "J2DfiLi33QUiYs8BxmOTkGvu1jNJxyk94OI6Sd+U9ErgQOCb+Q5220g6SdI/5vlHJX091/6vkbSz\n", "pLmSbpP0kTzPVEkXS/qj0oMUZuXNHQc8Py/7jTzv5yX9IW+/UojrS5L+JOkK4IV14t5A0mhhfF1J\n", "d0paXdKH8joXKD0gYe3CopHnH5G0Sx7eJN9HpfqAim8WYvpwg/32GaUHwixUfiCMpB+SfjV5kaRP\n", "18z/fknnKz1Q5FZJ/1KYNrAbnNnk5Jq7dWJtScV7YXwduBQ4OCJeBCBp/Yh4SNIFwIURcU4uD1bU\n", "egO4IyJ2kvRt4CTglcDapJ+A/xfwGPDmiHhY0ibAlaT75nwBeEn1DELS/sC2EbGbpNWA85Xu6vco\n", "6V47O5AeZHIt6V48T4uIB3PynhERI8CbgIsiPR/47Ig4Pm/jq8ChpFtVPGMV1K/JH0q6T9FuSk8a\n", "+42kuRExWp0hfym8n3STqtWAqySNRMRHJb0OmBHpFtm1XgG8JO+fqyX9LCKubRCHrcKc3K0Tj9U2\n", "y0iaAjwu6QTgZ/n19OQm66re4GwhsG5EPAI8IukJSeuTktexOVEvBzZTuplb7Tr3B/YvfOmsC7wA\n", "WA84JyIez/Fd0CCeM0hfAiOkG1xVE/jLJH0N2IB0D5KLmryXWvvn5d+ax9cHtgVGC/O8Osf3GICk\n", "c4DXkO4b0szciFhaWGYv0heX2TM4uVtPImKZpN2AfYG3Ap/Iw9C8NvlE/rsceLJQvpxU034LsAnp\n", "Zm7LcpPHWg3WdWxE/L9iQW7mKCbzRl80FwJfl7QR6Raql+byk4BZEbFQ0mxgRp1ln2JF02ZtbJ+I\n", "iHkNtglp39TG16r2XTtdjMODMGxycpu79STfJnXDiPgl6XmZO+RJD5NqrC1X0aB8fdLDHpZJ2gfY\n", "qrDe9Qrz/Qr4YI4DSZtLeg7prp4HKz2UeD1Sk8tKyTPSwziuBr5HakaqzjMVWKR0f/f3FJZVIeZR\n", "VtyPu1pLr8b0MaVHSSJpO6381Jwrcnxr59gPzmXNCNhP0kb5GsBBgHvJWF2uuVsnatvcf0lKiudL\n", "WouUfA7k0pBpAAAA0ElEQVTP004Hjpf0SeBtTdZZ225dHT8FuFDS9aS28mqvm79K+q2khaSHm39B\n", "qcvllZIgJf/3RMR8SWeQmjkWA82ean8GcCbPrJ1/mfSIvSX579Q68X4LODNfMP15ofy/SU8bu1Yp\n", "qMWk3kMr3mSK76RCXMdHRLVJplENPvL8Z5MeLHNybm9vtoytonzLX7NJQtL7gV0i4pMTHYsNPzfL\n", "mE0ejXrnmK3ENXczsxJyzd3MrISc3M3MSsjJ3cyshJzczcxKyMndzKyEnNzNzErofwEWb5PwEvC1\n", "OAAAAABJRU5ErkJggg==\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(pi_list, bins = np.linspace(3.08,3.16,50), color='green')\n", "plt.title(\"Estimating the value of pi via Buffon's Needle\")\n", "plt.xlabel('Estimated value of pi')\n", "plt.xlim(3.08,3.16)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "Generate Random Needles on a Plot" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "hits 628\n", "drops 1000\n", "PI = 3.1847133758\n" ] }, { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAXAAAAEKCAYAAAALoA6YAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd8VcUSx79zb3oISegdpINUKYqAhqYgTbEgCgjY8CkI\n", "qDSFnGsBxfLsBexgAUF9KE1BmnQREQUpIh2SQGhJSL3z/tgTuIQ0IAjR8/t8zueee3Z3drbNmZ2d\n", "3SOqigMHDhw4KHxwXWwGHDhw4MDBucER4A4cOHBQSOEIcAcOHDgopHAEuAMHDhwUUjgC3IEDBw4K\n", "KRwB7sCBAweFFBdNgIvIIhG5uwDpvSUiTxQUvb8TBV0XPnT7icjSgqb7T4KIVBERr4hcVGVGRKJE\n", "ZLfP/x0i0u5vzD9YRL4RkSMiMjWbcEtEJv9d/GTJ+4KMj4sNEblTROblEp5nuS9op7U7YZKIHBeR\n", "AyLygYiE2sFqX3nROGOAZSeYVPUBVX26YEvwtyFfdeHgTFxMwXKB8Xf3iVuAUkAxVe2ZAz8XHDm0\n", "Z77rQkT8RWS6iPxly41rC57LgoGqfqKq1+cWhTzKfaG1DgW6qGoYcAXQFDhXLVkKjKvzgIj4XWwe\n", "/i1w6vpvRWVgi6p6cwi/JMZfPrEE6A0c4BJVjETEXRB0/rZpo6ruA+YCl2cNE4MnbI09RkQ+EpGi\n", "dvAS+/eIiBwTkauAt4EWtmYfb9P4UESesu+jRGSPiAyz6e0TkX4++RW3p4tHRWS1iDydk6nBZwYw\n", "QER2AvPt51+IyH57yrlYROr6pPlQRN4QkW9tnleKSFWf8A4i8oed9jXM4JC86sKHl34isktEDonI\n", "QBFpJiK/ishhm1525XhDRF7I8mymiAzJIf51IrLZ5vENu4x3+4QPEJGNIhIvInNFpJJPmFdE7heR\n", "LTZPr2ehnVfa/4jIVmCz/ewVu7xHReQnEWllP+8IjAJ62n1hnf08XETes9t9j4g8lTmDExGXiLwg\n", "InEi8ifQObvy+/CzQ0QeEZH1dl18LiKBPuFdROQXu5zLRKS+T1g5EZkhIrEisl1EBvmEBdv9JF5E\n", "fgea5cKDiMhIEdkmIgdFZKqIRNphQSIyxX5+2O7PpXKgU0fMtPywiPwmIl3t5x5gjE899s+tTuw0\n", "V4nIcpvWL+Kj6dp5PCkiP9r9f56IFPcJ7ysiO22ex9h13C6n9rRRJSd6vlDVNFV9VVWXARn5KEc5\n", "exwcEpGtInKPT5glItPEjMFjdp01yYVWjmNGzJhdJiIvichBwJIslgTJRS7kCFW9YBfwF9DOvq8I\n", "/AZ47P8LgQH2/QBgK1AFCAVmAB/bYZUBL+DyoXsXsDRLXh8AT9r3UUAaYAFuoBOQCITb4Z8DnwJB\n", "QB1gF7AkhzJUsfP/EAgGAu3n/Wxe/YH/Aut80nwIHMTMONzAFOAzO6wEcAzoYYcNsXnNT11k8vIm\n", "EAB0AFKAr2y65YAY4BofHpfa982AvYD48JEIlMymzCWAo8CNmJf8YCDVh8fuNo+17PDHgWU+6b3A\n", "TKCo3e6xwPVnkXYeEOFT13cCkXb8YcB+IMAOi86sHx8aXwFv2e1VElgF3GeHDQQ2AeVtmgsxA92V\n", "Q/v/BawEytjxNwL322GN7fpuhhlofe34/javazEzTj/gMuBP4Do77bPAYrucFTBjY1eWfNva9w8D\n", "y+329ccoMJ/aYffbdR1k89AYCMumHP7ANmCkzU8bTD+smVM9ZklvAZPt+/KY/t3R/t/e/l/c/r/I\n", "buPqNl8LgfF2WF3gOHC1zdPzmL7VNpf2XGTzfga9POTPbuyxkEucJcDrmPHUENNX2/iU+QTQ0a7b\n", "ccCKHOjkNWb6Ycb5g3Z4EKePz1zlQo78X2ABvsNurMP2/eucGpS+AnwBMNAnXU278C5OCS1fAX6y\n", "4FkE+FM+AjwpS5oYoLldOalADZ+wp7LSy0aAV8mlnBF2nDAfXib6hHcCNtn3fYHl2XS0s6mLsj7h\n", "B4Fbff5PBx7Orp4wwqe9ff8Q8G0O5emLj1C1n+3y4XGOb8eyeUsEKtr/vcDVPuFTgeFnkTYqj34V\n", "D9T3GWSTfcJKA8lAkM+zXsAP9v0P2MLc/t8ha//KktdfwB0+/58D3rLv38JWGnzC/wCuAa4EdmYJ\n", "GwW8b9+fFOb2/3uB3VnyzRRqGzPv7f9l7T7hBvoDyzLrI5c6aw3sz/LsUyA6u3rMJv3JcGAEZwrZ\n", "uUBfn7E92ifsAWCOfT8W+MQnLBijhLTNiY/c6OVR5lwFOEa5SAdCfZ6NAz7w4eU7n7C6QNI5jpl+\n", "2fSHfpwS4LnKhZyuC21jVKC7qv6QR7yywE6f/7swWkLp88j7kJ5uz0sCimA0Mj9M5WRiTz7o+XoI\n", "uDANfYtNLzOfEpgXFpgXRiZO2HmD0aKy5ufLS37qIivtrP9DyR4fY2yD8+3f/+YQLzseff9XBl4R\n", "kRezxCnPqbIc8HmeWff5TetbH4jIo5iZSTlMnyqKqevsUBmj2e0XOTn7dGHqEUz9+tLfRd7wLcsJ\n", "m4/MvPr6mkbsvMvafJYTkcM+YW5OmQTLnQUfVYCvRMS3P6djFh0nYwTR5yISgZntPa6q6VloZM0P\n", "TD8rn0u+OaEycGumCcaGH+blmImsdZZt/1fVEyJyKB955kTvfFAOiFfVRJ9nuzAz50z4jq0kIEhE\n", "XHrmWkFeYwbOrP+80ucWH7h0/MD3YTppJiphOmgM2S9CZPcst+e+iLNpV/R5VjGHuDnRvhPohjEP\n", "hWOmx5C/hZ59vvmJkTIVs4RX8fnvWxfniylAdxFpCNQGvs6FxwpZeKzgE74Lo8VG+lyhqroyHzzk\n", "J+3JuhaR1sBjmFlGhKpGYqaqkjWujd0Yja64D/1wVc20Te/H1GkmKnH2yMxzF/BMlrIUUdWpdthf\n", "WcKKqmqXc+BjF8Zc4UsrRFX3q2q6qj6pqpdjzBJdMNpcVuwDKorPWw0jiPOjvGTHz+Qs/ISp6oR8\n", "pM3at4IBX3t2fsZwQWEfUExEfF8GlTi3OslrzEDuZctLLmSLS0WAfwYMFbNIVwSj3X5uv+XiMBpu\n", "NZ/4B4AKIuLv8yxvgz+gqhnAl5hFhGARqQ304ew6ThGMkIgX4xY5Lkt4bnzMBi4XkZvEeFkMxthX\n", "M5FbXeQX2eavqnuAnzCa+HRVTckh/Sygvoh0t3l8MAuPbwOjxV64FbNoeGse/GTydLZpwzAvsIMi\n", "EiAiYzEaeCYOYBa4xC7jfuA74CURCROzaFlNRK6x408DBotIeXshcGQueedWHoBJwEARaS4GoSLS\n", "2W631cBxERlu9zO3iNQTkUztbhowSkQiRKQCMCibfDLxNjBO7MVeESkpIt3s+ygRqS/Gq+E4xm6a\n", "3eLdSowGOVyMq10URth/fg7lnwJ0tRft3GIWUqNExFebz2kMzLDTthCRAIyZwjfuae2ZD3pnQEQC\n", "RSTI/ut7fxpUdTdmbWG8naYBZqY3Jb95+SCvMZMX8pIL2eJSEeDvY6aCS4DtmI42CEBVk4BngGVi\n", "VrybY6ZqvwMHRCTWpqGcLoRzE8gPAeGYzvIRRmim5hI/K62PMdPPvZjFpxXZ5J01jdrlOQjcilnE\n", "OohZmPnRJ16OdZGPcmWNkx0fHwH17TyyT6x6yOZxgs1jHYzgT7HDv8bYgj8XkaPABsDXnzW7sus5\n", "pp1rX1sw6ygnON3c8IX9e0hEfrLv+2IWpTZi7OVfcGowTMIskq63yzQjmzxzg29Z1mJs16/b+Wy1\n", "88Z+4XYBGmHaMQ6YyKmXjwfTh/6yy/dxLny8glmo/E5EjmH6W3M7rIxdvqN2eReRTduqahrQFbMe\n", "E2fz3EdVt2QtVz7KvQezGD0as+i3C3iE04VstuNBVX/H9OfPMVrncZtGpjKRXXvmSC8HbMaMm3KY\n", "tk4UH0+nLOiFmfHuwyh2Y31MvjmO46zIa8zkQiu/ciFbZHoknBfst/9PwB5V7ZpX/EsNIvIcUEpV\n", "83SfKuywTRJTVLXyWaRxYUwTd6jq4gvGnIN/HezZymGguqruzCt+YcHfNWYKSgN/GPP2/zvtV+cM\n", "EaklIg3saW9zzLTpq4vN14WGbXIagtFC84p7nT29D8RoWmCm4Q4cnBdEpKuIhNjmxxeAX/8Jwvti\n", "jJnzFuC2/e4G4F0Kz26tMMzUOQEzlXtBVWdeXJYuLESkDkbTKQ28nI8kLTC+t3GYzS435mIzd+Dg\n", "bNANY37ci1nbuv3islNg+NvHzHmbUETkC8xCW1Hg0cJoQnHgwIGDwojz0sBFpAsQq6rrKDzatwMH\n", "Dhz8I3BeGriIjMO44KVjtoYWBWaoal+fOIXCLu7AgQMHlxpU9e85CwW4Fvgmm+daUHlcqAtUzY7i\n", "i8+Lw6fDZ2Hj0eHzQvFKnnwWtB+4o207cODAwd+EAjsLRY2vo+Mj7MCBAwd/Ey6VnZiXAKIuNgP5\n", "RNTFZiCfiLrYDOQTURebgXwg6mIzkE9EXWwG8omoi81AgaFAdmLmmoGIal6G+IsMkcztrJe2J43D\n", "Z8GiMPBZGHgEh88LgfzITkcDd+DAgYNCCkeAO3DgwEEhhSPAHThw4KCQwhHgDhw4cFBI4QhwBw4c\n", "OCikcAS4AwcOHBRSOALcgQMHDgopHAHu4F8K6Vm16p8XmwkHDs4LjgB38K+BeOQ28ciV9t++deps\n", "OmsaHvGM84inY8Fy5sDBucER4A7+UfCIp5ZHPFE5BNfCfDgWIM3fP+1csmiN+bCyAwcXHY4Ad/BP\n", "Q3VgbA5hizDHHsO5C/AamM9mOXBw0eEIcAf/GIhH3JPumXQMaO4RT0g2UVYDdcQj4ZyDAPeIJwzz\n", "PdV9582sAwcFAEeAOyhUEJHKIpLTMciheyvsnZnuTv8NaJU1UKM1BSPEW3FuGnh14M9ojXbOvXdw\n", "ScAR4A4KG6ZzygxyGjRajwEzttTccgxon0P6RXb6cxXgW882kQMHFwqOAHdwwSAiAbloy+eEqCh+\n", "qFCB3rlEmbSm2Zq6iuYkwBdjDoTOtwD3iCdznBSg/VvcIJf8kaYOLm04AtzBhcQrwJCCJDhjBnW6\n", "dqWHiLhziLJ6V6Vdh7wub02PeEpkE74KqHsgATkLDfxlj3juxmjgBbWA2QuYVEC0HPxL4QhwBxcS\n", "LwAjRaRaQREsVoxvrr+eDOCa7MI1WjXDL2PSvnL7jgJtswlPBtZM30jJsxDgnYC1GA28oEwo9wGz\n", "C4iWg38pzkuAi0iQiKwSkV9EZKOIjC8oxhwUfqjqn8B4YJJIgZkLFrZti5/ISX/uM/DGDczrPvC3\n", "sikBKV1yiLJ4wV+Uz48A94inKsbz5FcKTAOXOpiXwTfnS8kjHvGIJ/L8eXJQGHFeAlxVk4E2qtoI\n", "aAC0EZEzVv8d/KvxCkYA3l1A9P4MCiKxTh1uzcmM8p9m/HlF1+2qbm/nHGgsWrefCvnUwK8HvgNC\n", "gXAKxoXwXuAD0HNyRM+CjsB3HvE49vR/Ic7bhKKqSfZtAOAG4s+XpoN/DlQ1HSO8x4lIuXOhIR4p\n", "Kh5pkEnR35/vb7iBZLJxFbTjeMNrxO3F7Q0f4zemajYRVu5PoKTXLwECEhBPrrOD64F5QDWMC6H3\n", "XMpwChIE9AHePT864BGPH8ZM9bTj2vjvxHkLcBFxicgvQAywUFU3nj9bDv5JUNVfgXeAN87RlNIU\n", "mCseqWD/X3j77RyGHMwoIv6hdSmWXntHys7KOx8Qj4h4JPgkP9GaXCGMvXv9dsDDVQFKZkfGIx5/\n", "jMfK9xSc/bsHsA50ewHQuhuIA2YWAC0HhRAFoYF7bRNKBeAaEYk6b64cFA6I1ELkxjMDUoAzFMKn\n", "gdrAzT7pAxGpm1c2Gq0/YEwxX0kpadq4MR0bNqScCDdna0ZRTZOyxF4ZuCPWL93vNozG+45vlHql\n", "2baLHeBOITyZFEQacebLpQVG647lHOzfIhIuImWyPL4PmJhLmpy8a06DRzxFAQt4JDftW0Qaikiz\n", "/NB0UPhQYF4oqnoUmIXRlk6DiFg+V1RB5eng74N4pLR4pGeWx37AJESymCkGAc+d9kRVU4B7gFdF\n", "pJj9uAnwHSL5WYSbAGzjAYb88gtXpqWR2rgxx4Crs4s8sTTbi2/bXLRUbKmK/qn+m8my+SeqCpu3\n", "e3eDXwpzJ1MKmINqVkGYaT6Bc/MBHwI8deqv1MS8xLLVmEUkEFgu+XipASOA76I1em1OEUQkBPgc\n", "qJl/lh1cLIhIlK+szE+a8/VCKSEiEfZ9MNABWJc1nqpaPtei88nTwUVDAPCyeHxewKq/Y7xMPuI0\n", "zTEaeAMROc3EoarLgBkYuy2oLge+Bl7OK3ONVgXuxsXl3MaPs2fjvu8+tpKDGeWzQxxfcPRYUfxS\n", "Emtvqn0LECQeqZwZ3rs+2/ZlxIE7lcYHqAf8nA0ZXwF+VrswRaQI8CDwvM/je4EPQVNzSGYB+4Fc\n", "z7n1iKciMBB4PA82ngfWqeon+WA5W4inYDdiOcgZqrrIV1bmJ835auBlgR9sG/gq4BtVXXCeNB1c\n", "gtBo3Y0xRXwqHikvBlEY4ZsBDDsVuzy2h9ybIifP387EaKCdiGTulBwJtEKk68kYIlciUjsbHpKA\n", "m6hDu3m/IK1bUx64WUTO6McRxVn1UwkyqqXt3VfiUInewBJ8fMdLhpJUyb84eN0EZtCILIqHRzwl\n", "MVr3CvvRWZlQ3G7uF2GRqm6xCxUI3EUOi5ci0hLoB9ynZ84EsmIc8Ga0Ru/JKYKIdAa6AP/JL89n\n", "0PBIKPC9eKTTudJwcGFxvm6EG1T1ClVtpKoNVPX5vFM5KKzQaJ0PvAFMoyqRwEQx9pJ+wHAk01ME\n", "oBFAf+ArEamZaYdV1eMY7XGiiISimoBZjHvLx5TSAaO9ZsfDDoRec8MJKFOO+i4X8RhbtQ+k9ejR\n", "VP81Gf+rU34vcdmOKkWBXZy++SetZnBJUBdAY86cObYHFkVrdKpHPEWACGBvfupJRAJDQ4meMYMj\n", "Po9vBDaAnvESsLX1j4CBqhqbG22PeJoC7TAmpZzyL4XZ5dlXVY/kFC/XMnikCGaj0V8YN0oHlyCc\n", "nZgOzhbjgXj6MhYjaB8RY18eDkzG2HEBUNVvgWeBb4G5IlLafj4HWE6mfdiY1b7CLFQCTANuIYcF\n", "PY3WRbsTGBOfhqtVWw5yphlFmzTh8uQMXIH8tbfinnL+/qn+NcgiwGuERIB4Aa7gTBOKr/mkGrA9\n", "04XQ9k7JEW3a4GnenMCbbiLa53Fui5cvAEtV9X+50bV9vV8CoqPVSgeZAqZOM2F7+bwHfKSqi3Oj\n", "lxPEI2HAHIzJ6B6N1oxzoePgwsMR4A7OChqtXqAv0BWLFhhB96wfHAZ2nPDjKcqt8U3yGkaDO47x\n", "RMnEEOAOEWlu/x8JtESkK8bscIAc/bzh+Gim/naAmCZ30RK4JYsZZYfLReU6dUiaVf7EhhLew8cr\n", "7qrYBiglHilrx0mrGloEXBkk+BMK7MhMbAvK6zileZ50IfSIpxmwyiOebF8uy5dL5PbtPNKyJRbo\n", "fvNUagD1Mfb+0yAinTCbcfJzZsyNQOS1Yxd9eOIEn02YQJVp04jLEud+oByc9vLIN3yE9ybgPru9\n", "HVyicAS4g7OGRuthjDvga1gI0CUDJl4HH7u9DGgR1QGqGdln23OHAFuAO8U2s6jqQWAo8J6IBKCa\n", "CAwA3sZ4qUwDsnq9nESRAJp2qkPQtU3xpz1FAV9b+36geM2axM6qgKsOm0Obr6u/D2NGaW3HSQvw\n", "z8CV7secGuzM4oFSHzgRrdGZ5o7qaaTt9BO/eXvZ+zVm40y2Wuny5XwdHMxBy1LfYyXuAT4CTfGN\n", "KyLFMTbx/rYXV47wiCcAmCAu76NRnkWvDBlCw1GjONKz5yl/TTHrBk8Bd6rmuFCaI8QjRYG5wG9H\n", "RzJeoylytjQc/L1wBLiDc4JG6y8Ys8kMLLYAt34Pb8328tzH04oQ2uVOxCNd4ORuzJsxu3Sn+2zm\n", "+RzYidG+wUz5Z2BMKV8AN5PjcbQ6O9CP8W2qgPsKitCM0T5hGcCefjGkl46lUVn2LWu4uUoEUIJT\n", "ZpQ03KkEpvkzvS7JWYj7mk9II63uIhZ1qU71OmUoMzVao7/MjqOMDOn57rtceeSI78KhBGDWCE47\n", "edCug7eAqaq6MPsynoYHgD/HZjzZZM4c2k+aRJDXy4DMBU8RCQA+Acao6h/5oHca7K8UzQPWHx7B\n", "M0UD+QEzC3FwCcMR4A7OGRqtHwBLgfewWAIMuAkeWZbehOffvQbgPfFIDzi5eNkKuAx4xn6mGME0\n", "yMf3eRRmUbIusIccTh20OZiQmMaJ9uGkEUVneVzq+ATurH8Ed5lYKldh53+96aElAk8ECkY4A6R5\n", "3SmEJQtLK5PVD/2kABeRYrHE3ujCldKTnrvduEdkz4tUnDmTd/bsYeeBA8ZUYrvgdQc2QqY3yknc\n", "DtQjb1dAgsw3lB+/acqMpYcOcX/XrgSrcneWBU8P5pyWd7Ilkgt8hPfahFFERwTxHfAm6PSzpeXg\n", "74UjwP/JEHEj4kEku3OxCwqD/VzUEHgUiz3AsMGs4YbElUyfylPAG+KRXgCqugNjThkuIi3sZ7uB\n", "lcCXIuL2MaW8hdnwcltume89zrJubUiSBQjKd7YwAtgRfhmHw5MJbEzS8grsTuv1XeN1QGXxSDEa\n", "MKDo73GUOpFOTCgVxCMhAB7xhGLMMQttb46FxSnu15a2JVy4bovW6GwOoBK318vkoUM5mpjIGFVV\n", "2+d8g1fPXLwUkfKYWUYfVc3zC/fXsIQStePWNrhzw6BatVifkcFMVZ1t8yttpM1YjIvi3flwQTyd\n", "c49EYGz9qw+P4PHQAOYBM8DxKCsMcAT4Px+BwBpErrgQxDVakzc8gAa4GQsswGL+McbQH6X7JkZ3\n", "3cjN/i5eDRsv9wKo6hvAL8AcEalkk3kTqBQezsOGqC7BfDqtEdAjqxlFROqLSBhAUhrf1CxNYK0k\n", "joTtoATwiXjEDexwVyT58gi85aJoF8mRH69ZX7UyIEAHjhEmx05QND0Nr/ALp1wRrwV+trDCgMXF\n", "Kb4okMBgQXpHa3ROboSPzv6YEik7ibjWmIAA+pUOZbVLaITxsMnkXYD3gddUNcddlJmIJJ6m7rX0\n", "XfBxs86defPQIWoAj2WGH+DALWtZO8YPv/vyckH04SFIRL6QStIJc87LigOPMDIiiG+BH4Ex+aHj\n", "4OLDEeD/ZKhmoDoSM+DnIXLXhcimdgnGfnoz8Zjdmu/BQBbyEB9CwP3TmPn+Vfzq7+Il8ch9dpI+\n", "mG34c0Wk6bRpzIuM5I/ff+eFnj2lnh1nNGYx8QjQBpGKPn7mL2AOmaJ2CT5rVo7g5GLcf3waQZVD\n", "aIwxJ+zkMrR6EdwtW/KsC+8rx7wla7u8bAXuRkh1HUkmLb0ICIsy6QHX72LXKmCxC9dHgxjUSpDY\n", "aI3+PvvSSxPgkVH3Enov/LpINUM84gL6T+xKOvAxqK+N/QGMT3m+zs7vHvo/WgxbxoLVx0fMns1D\n", "wB2ZJ4B6xOO3kIXvBhM8L03Tvs0PPdvn/FvC8GMAzwA//vUwI0oX4UtgOzAEzk6Ld3Dx4AjwfwNU\n", "Mz8EPBqRNzELXgWJWT3q8Nd1VVkMtKX+J8AoHoPJNaHogutp8GUnjob687R4ZLCqbgI+ADKKFOGH\n", "qCh2NmzImGXLSGvUyF7kNKaU/kBpjMBvgTl3RTAml6sASoVqXFwSiQPGUdalHKkwn/DwAP7z1H10\n", "pTqhZUD+/JMKP9FsVgqB3jtXFfsNc35KCodTOJERCac+dEwssV0+4qM+wMtjGRuJGSMryBYSCnzy\n", "1vO8Gp9OpQFmUxNAO4H4brXojM/ipYjUAJ7EbLBJz6tS32txT+e6YZuYGdeZm27iLuAFVT254WgW\n", "s945wAG/RBJzNTP55B8JfE9R9jGMyggLf7qXx6okMI+lXM5a7gbHbbAwwRHg/xaYY36bY3yEF3GO\n", "Z3PnRBwYPvtOGruFDXS9H4rEcASGDYXZzyuR9zcnfdFt+Pm7eEQ8Mhxz7keZhAS2Tp1K2U8/pe87\n", "77C2Tx+qh4TQ1ya7FGNKue05hhfJwBUG3IA5tuGk2+AfB9nSuCwP9OjBzuXf43qtKfJKaXpsCKNc\n", "RCKsX49/tFqRYRxf13tBnepAyMZwwrzH0khILwZmU9EVdYrW6fwxH1fx4h1jYe3GLDR+Q85b6F8E\n", "1rwynO79YWsV1V/s5wO61uInYLN4iBOPiP1x58mAR1U3Z0tNpEPmRqiMK9yt0hL9pyW1CGbSh0fB\n", "HFfwYmbUalKt7m/81q8ude9J0ISkbOmdRlrKAIuI4GeGUh9hwbRbeKxJIrPYQgt6cg9N8n6pOLi0\n", "4AjwSw0iwYh8xCn7cMHB+Br3wJwauQaR1nmkOBviq90ulm56kAV4/aFXN7BgFtw8HTa/k0LJ7q05\n", "tqYPCQJ3Y/Eg5kyPpLFjOS7CLR078t6uXXh79OAVewERjFarjfn5gSVcux7wFDECvFnm0at/xrOw\n", "dBGKjxpFFVWSh9zOr691RG5eSim/I7BrO2zZQqMEQj8+kl6uXpkADq1rxTWJB/04mlEKjdZEdrJ1\n", "W+K2qS1osSKa6B8wmnNPIJJsD7GSbsD111zNKwehUX8YiUiHA9/Icpdww8QuVH33Z+OWh9mqPwKz\n", "memNrJQ84rl/htx8J8YNMIgD8uH2uy5bmH7cL936qjPwXzBaewaYI2cPc3hOfer/slyXf5ZXy4hI\n", "ZWAJxZjNw7RE+C76Wobfmsr/iKcNg+jEPp0H4gZzOJ2DwgFHgF96SMZ8f3E1pw58KjioelF9BuPp\n", "MR2Rwdmcg31O6NKFtdUiGRgxawqU/RngEVXN+A2al4b02w8Q1Lc7Jdf0YRVwG72pBbQ4fJg1w4cj\n", "3brx4pQprBk5EpcIr9r8JgHvtubHej/Sso2C33FoCcRijmblx118Wrs4xS+v6fqlWBH/gPh4atT5\n", "gsMj26CHQ6B5VdLmz6d9EkW+2U61jDZ72Lc8iBA0haPppRCRK/mActd7r9/QkpYfYLT+p6I1emW0\n", "Rg/ijK/HSxmMZ0nvvSt4+h44Ug3KUo5PphbjisgglvxygGb3fsMQYAgWCgwVOOSFl/E5I9wjnkrA\n", "M634sTccc9N+AAAgAElEQVTwPEupq+H0nftKJ90Rl3qHsR69lumtA0AYYU+HEVauNa175NUmIlIL\n", "WEIpPmAwnRFmAyMt+AI3HRlBB37XH0DCMV4/Z+zglBx98R1cbDgC/FKDqqL6ItALc7bIiIISsFny\n", "mYexK/e38wk5H3IiIrNmUWbiRAKevHcSLB0J8Kx4pPrrqomp0GYMFM/YQOKogdy8uBevUp0rqcPP\n", "QJspU9geE0N4zZokBAcTEhVFaxHpZpOfEEwyZdnvXUGLhcCTbqOFXwUwfRPr/jyMd98J1tzaNcg/\n", "goiYeRB4V3kSD0VCsUa4tm6lebRG7+rD5F69llH8Jz847O+PN/YIwDd++N3djGa1MYuZW4HXM8t2\n", "+mfUxAV8CEwUYXcctB0KvwMP8z1vvPITSddWJvLWL/ADbsHiW4zpZEc/SBDoDKdtf3+xFDEzShPb\n", "AHiHsny/Y2GVtCO7I+e9mDixq7EUndqQKiJNU0kd0pGOb72gL+zMo00aAQspywv8hzswAvpxrc+n\n", "VKA742nPIl0MUgtTn39iNmf50rgdWHq2X1ISkQgReUPk5NEFDi4EjLy4cBf2fo1L+TI2XL30+ISK\n", "CqsUZigUvSB8QojCZIVfFKqeL72oKG6Oi3Nptep9lCf4lcHEYyGqSiyMXAuJRQLZccstJH+wgqZE\n", "s5pQjgCxDRpwIiYGffRRNi5dyk5gNxBu87l8F+UPPstjf3ph7TijFU/MzPf9dexatospq1dyPNIV\n", "ljHwNhL2ruH4sTak33kH2vge4m067mNFiAl9Ar2pQaASEKxAOwvragtr1yKuiY0nonPOZWSwKqtU\n", "8a8Cnz0C6QoLFSKX7GBtyDMcL/cC6UPmcKPd/1/AuOZtSYdZCg9k0rKw2ltYfyUTsEBhoE5irTcN\n", "fTZ8eHwVqgwEtsPRk20OhPrht+MmbjpiYRXNvU/TEoihIv2w+A2LJ7EQncgU3UW6Psq1dnluUCVW\n", "zcYg3/SC2SG7C2hwNmMI85Lag3kJFrno4ygHPi/1Kz+y85Jg4mJfl3SjQqDC2wqbarEp33xiFisl\n", "n3mIwkMKMQqdzpfnkSOf0GnTKiiBbOQ/KA8y287HdQKWPgmHIiKIvfNO4m6ZQknu5mfcpAN/vfoq\n", "Jz74gPStW/E2acKXwNt22sFemP0qg9I2cLknAba5YH1mnkPmMGPzQf7MyGBiqUj/Ey9ElYhdt4qM\n", "gzdxbMUgMvxGoeVfpKWqojV5p+b9eP2ridKsl6oqFtZbFlZSMgFrFNoZugSq8oJqZj1ST5U4Vao/\n", "D40iwLsDNij4H0qi3L0zSQ95hqNbDrLaboNrMeey7BoMdyscUAi28wuwsDZ9yU1PKGzTx5miSWT8\n", "+nG9Xx/ioXftdC1N3/QqRuufXoMa+y2sB3Krf8wW+Fgu4zYsfsfCUlV0PJN1P+n6Mm1MmRihyl5V\n", "WmRJ748xEa0Dyud/DMUr5ljcP4Goiz52cuQzf2PoYl+OAP8nNSoMiKGk9mB6vvjEnCj39Fnm0Uph\n", "r8ITCq78pLGwilpYzX2fBQcn6q5dFXTwYCwqcIKRKE9wk51HpXQ41BQOlC5Nwm23sRaLItRhL6Ec\n", "Cw/n4N69eDt1ImX6dNbbgsRPobxC/Pe0W/Ae/XdnwOqeZr2giIUVXus17kpKJU2VqD272TqvZpuY\n", "PX/hXRLF8ZSRaEADtMRzJJV9gXItrmJaSHu0Ws9wpc0TamGFWVgnLKzxCnsUqpiycJ0qy+37IFV+\n", "VWWAQrNHIWGgC68GUhaLAM8ifioyDu+SHSxVpS9QFHOW9jTgU4UPFZ7wqbdHLaLneGGl3sY0jScj\n", "I1USno187KAb93zgqVN9c6oCu/zxjxnBiM0Wll8u7d4DiKEWXbHYiEW0gugjTNY40nUa7VUJUeUz\n", "VVarni6gbb7nYs4CD8v/GJppNxGvXmpa9+l86qU/1k+1RZ58OjbwwgLV929gNi8xDESezfmQp5Po\n", "C9wqIvk5pjQzjx+BZkAn4Cvk5Lb03FAbmOkRz3iPeAIBTpwIYezYJ3nlFdr6x3AV/8OLMkNaSWNU\n", "d7lh6BI4djSGxKVLaXDdct4hmatJI+io4v/YY6SPH4//Rx/RoF8/XlbVdFT3Ar+1YMV7cZQse5CS\n", "K58Bbzh+LYBtId83/uOPg3gBLV8BqnX96+MypZBv1xHiioFKSaR0KEWC9yd+X7mOjo/EQWKZZMgI\n", "APgYcHdk9rOYA68yFww7Yzx2AMaxjSRcBB6GOROFgEfacEhGkSjKLLdQMzKI31tXpibmIK7/Aj8B\n", "bV42nzbrhtlxikc85YCRPRt+vki6UXH/PWVvSTvhXvXLh433Tz08f2kGGWEYf3HgEPAQQOjt3J4U\n", "TPAj0RqdrbufiPQDXqcBvct24UXgM7V4kn58wih6sZGu3MoWjEknDbgGdK9P+gqYs23+ArqpOb8m\n", "V4hIMRH5GIZSjFexsJpZWJfnlc5BwcAR4IUIa2lKE9aC+RjwXERK5hRXVeMwH1wYJiJ9coonIkVF\n", "5FN78ILqPqANRoitQSTXwRit0auBhkAtYK39xRg+/rgvQGRqKpX5g3fZSRpXsEYCpDcwORh+Ww9z\n", "Y2NJWL+e2+sG0w8vHsI48dkM9Ngx0qpUgT17mOOT3dRQkjqGkfDZGpoOUDg6kvQBwJyu33S98j+z\n", "SX5qMQeBD6uN3VHclQFFa8HOlULtqgHxG19h25F5hFd5gBOlQtBDRVOokLEfzAcbhl7J6grATrGo\n", "Kh4JxviczwK5LvEo/TIa0hBlTDv4vLMbuJ9F969h/eavqT//L4IPJ/MsUFWEDpdxWacmNGkAWA9D\n", "b+AjVOPtckxw+6W/V/ujzVb6O35lvx7cPYFIaThlZL2QdaxrhYmfbhYOhwIhVKPaympU+4tTL5Ss\n", "7TgY8NCcniNKMmXFuwSpxTN043Ne5Fb2cSvXkIhZrJwM3OW7Q9Re8FwBTAH+o/nYaGQvMm8IICDx\n", "ep5jANvBHI+7JveUDgoMl8I04GJfhWVadZJPcCuMV9ip0DSP+q8LHHDh6pJDuAtzAuA+oO1p4XCX\n", "QpzCrXnxZmGJhXWHhRV7NZ+ri1RVs0C2qWgr2hNKOmNI40bigc9eheoK+1+EQYGBJBQrRlpoKPcC\n", "22nHqrqX4z10iIyKFdHAQAba/JRRONy4Z+Vbb63fLfVL3Bt3w/FxjOpqYS3D4nssblClkno55N2G\n", "d9sH6DRXK+1XumNCYCAp3e+hbdknyWg1GG+Jx9AWHa5UC6uTTb+bwiwsfuryKX3V2IdLaDJ7tpUj\n", "MRUS5kK1IDj+3eUkLK1Cyp4w9q2aw6SwcSRjEdiCFtW60z1xJCOP1af+li1QXIXD+g332vV0jYW1\n", "68T8wKV6BJ3b5fpNGz67fNuKtxruDiZ4B5h4wCPAZ1BMhcY6hjH7Lawrsmk/wZxdspVraT6gG/uP\n", "BHJEoapeyww9SKrupJcqA1WJUaVDNjQ6YTxj8mxnO35xjKDfeh3XPWthxXTmWw0mqfCMoUuAl3zU\n", "c558FkQmFYGFGFeq34DBZ8vExb4KS6OewSf0UIhVTnkQAG7M0aBRmc+qU71LEEFpFanYNZd2bIdZ\n", "OBuB7+InXKHwl8IEhRxtr5mXhVW2PFdoBWprR3eHrqr8oMp9lGUfndlMNMlcxTfArg/hcYXttYXb\n", "wsJICQ3lBPAcsJ7rWPrss+jUaXjdbjKARjY/C99syuDQR0MTurQvlbQc0lLw62dhHQp9NPR1LMYa\n", "Xpiv20hOmy8J692VdKDc561Rg8OqyiM3s6qzhdYZLFrv5tpqYe23aQ+NCeUDLOKSUnlElUm6h1ne\n", "muw+Ct71cEdpGPpeEbwHQ9AZV/E/Bb9Bs9nV4E1mjmXsTcMZfqI3vTcEERQDNFFhtHZklypPWlh+\n", "Ftavc/9z/duaiB57P2znC2WHHcpIlyNlIgPfx3yxRzDunbHAAQjXq/hQLayPsmkzwezOXE9HGne9\n", "nb3H/Tmu0Fgb8T+NIVnjuVeVt1X5XZXq2dC4z+TD1fnrg9wI7Isk8pNRjFptYa20sJoU2jF0CV9/\n", "lwAvkzm4gCLAZqDO2TBxsa/C0qjZ8gm1FTYpTFQItOu8gz0oh2YK4050mhxMcFoZylyVS1tWAFYU\n", "L863ZLrvmTyKK3ynsEChZN58pmpZhmowwd572lZd6c1gX+Vm9KcU6USzBYvjNKQ/sHcBbEiF98qU\n", "4Z7ixUn39+c48Csu7g1ryJadO9F27VBbQyyh8IDCJ3fUuOP6ineXT2nfBk0Wdj/FE++3btv6Iyxm\n", "Gj7onRFH8mO3cSwJt45mlEYGB3kB96TGbOj+NNp6AlprYLBaRO+0y/nGhw35Got3VZmvS5milUg5\n", "7sfM3yE9Abr95UfG9Nrot/M5porsO0alCi/ivbtG7wUjGLGvGtX+xHyT8lWFIA3iiK7hT1UCLaxB\n", "48NHrvIm49VFpHhk7KSNX9Ze8/77fIX5YHIJW7vdiTGVHAriFR3Oc2phVczSVm6MuWIFt1CvVX92\n", "J/iToNBGazBX95KoCYxWZakqX6meviBpz7yew3wpqToWzbB4LJe+UQL4VJBtt3DLVxbWAQtrgIXl\n", "KvRj6BK9/hYBnk2mX3PSDcsR4H8LnxCmMF1htUJFu96rYNzAPgFCLCzpQIfvQwhJjiCiVk55LFxI\n", "qfh4EmrVYge+/r/GbDMuN7ONhVXZwpJMPpvR7KrylI+d8VlA+orvwqYTTAx38DsWCVhsojYVSsD/\n", "NsGJu6HtVVcxvkwZMkQ4ChwkjIiefUn8dQMaEkIKEK5QWuGIQvAT7idWRt7ol7SsHBk/RFSe+FDx\n", "h37BYp+qEhND6MOD8Na7jNTkEngfDR3gbRxcSyuUof6Mmq6UjhPQNkOKaPDjok/7j9hnl3Hu7Tez\n", "seJL3KTfc0JL4tUmjDkAazZBwr5Ajna8Ba/nOg6p8o2F5Rr3doVFtccFeR/hkVf88IvDnMu9FwjX\n", "sgzVDiSr0sLCKmVJ9MGYn0om62a8y4q1uHdCycdiY2M54nazD/MRCZctuD8FDgJfdedLbct8Pb0f\n", "EABMBebTnjLtR7Mn9QNS1c3NWo4FupNjmsrrquxUxVI93aMICMJ4x/xIAyph8SIWB7C4I4cx3QPY\n", "V4lK80YzOsbCesPCKvaPGkOX4JUf2Vmgi5giUgVz7sOqgqTrIA8Yb4FbMVvAVyPSVs3HE1oCXmCF\n", "hXVZS1p2bEazP9JJ/ylYgrPdIRcVpbGRkTzeqxchLhfLRaS/nUeGWHwwqwavArOXigwTkd5ZduhN\n", "Av5XhAQAVuvqldWpXvqr56tNrdH4+M1NI8sly3IpjzkfO53b2XcQbmwED74HU1euJLZ5c2aXLUsQ\n", "UITjvPDVNBru3wcDBxGAm6/GMiYC493R0S/D76W6XzeNm1ScuKq6c0BC2OHK4pUgGSnlS5fmxaWL\n", "SFv8KSe8Zcio1nBvXJ3AqrSLLPuEZAT6pfqTfkV6ACEU4WjjHSVASqW5qPVracptXcX13EEgQ3mD\n", "tQSXgqZzqnK06n2EdF1EWtN+bIvfFvknsGi5xLWsFRow9UVefCGd9KEY2/UwhQQUz9GezAZdgeiz\n", "zQasCQitFBewuxOLv4+//rZuH3758003cSgjgy/U7Ix9DCgGNCoKD41hzJPV2c4yn287i9kx+zXm\n", "nPcuOh/33AYU8y/LAiIYwmIaUYFF+NMTGApq+Z4wKObjHgsAL8MZTw8WAaWAehqtn/r2BREpKSKf\n", "++H3Yh/6xA9gQNEAAjpFa/SD0Rodj4OLjgIT4PY5w9OBh1U1IUuY5XNFFVSeDnxgXskTMB4MnyDy\n", "qMIJjDvhuxgh3r4NbVrUo96hAAJ+DZKgnA4ueq19e7bWrUscMFFEFohIMFCty52MaNuXr4vAQ1Xg\n", "vy5YICI17XRdgA0DeZu6bARgkS7SyWs33pmeEDx5uCexeMiOkPDw+eHdgQRgkKpqsur7mD3jt8yc\n", "SfDDD/P7kCGsAvqnJlPhjTd5dtRjULYcbZJJ/vEvLluL2V/+ZRWqBW3Y4F8iKJ2NIbWmhgQnBafx\n", "I3OBOt9NYG6xeoRqKTJq1v8jqVp6LdUTYTenutmYAvpoeX9aHr0O74mAo6Qw2+Wl4pjF7A1cQT+e\n", "YS+jifJCrz7tiR/WA+6awgq/g8Q1bBBRec7gTv0D2/22bEl8invxiWNfYXEIc/TtAWBaRl+e3B9B\n", "cLHdXPVQyYfahkQm3dFu/IKw6IdJvbdy0+TgYkmVluz9s+WaNaQDI0WkFcbktaofHDkM4wPxvraY\n", "a0khEDAeQxgf7UPArQrBRLHY3ZE0BlCCpVSnGjtxcTnQFvS0b3fax9muIILVRJNCCG8A/8FiGBZP\n", "2x9Zzox7C7ChLnVrj2BEMFX5EGgZrdE/n3XfNPSCziXdvwkiEuUrK/OVqIBUfX/MwtmQc5kGXOyr\n", "sEyr8uITizJYiEIlhTUK09TejIH5tuQ+YNQQhkQ0pvHBCCK2Y+8MPPOirCoH7r6bIZjpfBIwgNGU\n", "xuKLiBFs3RHK4mjY4TIfK47GtsFXYLcO4lW1sKZYWGUsLH9Vinu9HLy1Yc1fI4jQkuEl4+VhOYRF\n", "TZ++4levHq9HRBB77BgHqlRhDUbQV5o0iaNTv0BLS2l90j1wjZo95iHDGDYmALf3BPw30eWO83tM\n", "vDxIBkO5Q2cwSJPwJvfhxJaRrljLNUZvi4jyPtG81PNNXyIl7oViOrL3OLWIXqULmJ4eiB4uxQ7t\n", "hVcDiD0aQP9uPUkJuoejtUrSKx3XsSfcvTNSE/3Sv+x9U72+XzGj1XscxGIP3bjWrqcaHd+n7qYq\n", "eO/rye7g4cG1XyozdN/6DxpoRmniGt4jSU+4n9g+673SX4aFkQw0AEoCuyvDsI/gRBrs+pQuozvQ\n", "4YCQqvZxvSUwM483AJdCiLr4UbcSo4PZoRvYqV72qjJfleLZjMOWwAE6MQmL/Vj8l+EUwbwID2B8\n", "1UMw2vi0IIL296d/vIX1evDw4GgsfsHCfbZ9E2OrfwxzQFuO6S+VMXQpXfmRneetgdtT6PeAjar6\n", "8vnSc3BemAh8LxahQGvgKLAKkVpqPlPWDOj+Mi+/X4lKLctRrlQkkctExP9MUrofGPjuuwzevp2q\n", "wGfAO4zjByxeOxLMiMsepXq5K9i/FdLKGS+W9SLSZg8VeJuBYAT778B2j1jXoDw/afGWvYoeLeMt\n", "Ex74amBE0blhC6Sr2ZSkim7YwHUPP8yY668necUK6rtceIGlixfT56rmcHmHGO/CjM1XJBL0B3BD\n", "UYq+Hk4xXUBo2y3ejMQbZ4d6pbgkEs77nwsHOQp+lfELPUKkf3B6autaFQ7vibmhc4qifn4ZpKe4\n", "cZNBenuu8PpDeCplCSdhxDU0rfcgoxMCiU3+gJS34uo9vIlagbuuWLvLLzh9W4/qX21esZtuXkgF\n", "rmImDyO8hkUr1zLWlUwiJego1V75qnev8MpHytaf9uu6Y0eIPJJeIX11x+/TrbdjupYrx38xnluT\n", "74Yfl8P4OrB6KEVbj2D946tZ/ZeSjjGpswSjJD2kZuY8lUcIIJEw7iWDyymO8AXQEfSQb0uKSE8i\n", "mMkwdnIlVwE3YvEcE/gYGAt0V9XHgC4uXBub0KTVMIbtrEzldpZl7UgOSu7z0GsP/WlZ1lmdIW+b\n", "VBdiZmbd1D4O10HBoSBMKC0x0/Y2IrLOvjoWAF0HZ48emBPnlojFU2IxDLMjcCkiN6nZzXgtEPc/\n", "/vdVGGE9I4m8vBjF5ohINn1BvwbmX3YZr6rq3cB1BFGeNszjSe7R9+l5fzc2Db4D/nRTb6zZ4fcR\n", "3EUaR4jW6MGYjxIHAO+OLzq6R2igu/E1XY/+/Ful36Y2b1sjqcjqsApFvy8aEyRBl4NmAE9bFr1W\n", "rODyTz5h9dNPE+wWjk+ZgrVoEVvffh3XyoAlOpJKtYDLozX6cFHCtsyhfN1UGPXUnrRk/zQ/F/Bb\n", "nw1M+uM4uCrgF3rU6+cO8G5wJYYFicqxtAxxu/0yKJYWT3n2Nkp3UTopjRSZxdYNFl9OaMnsjlsp\n", "9sDkKz4IzvAv0Zzt9Z5j14zGd2z6LTaRdRWLsjIlAz9/F/WwaEQYDRlD0yIBPP7ZZigujGiX3K3s\n", "kUMRYzo0/H6DzKHWmFbBuxNDT4QGBvycnJ7Ooc2beTwSxnwI9V+CTo/BH82hz3ukLY8gIj6CiFZm\n", "0tQa4ENVfVxNw0winHCGcQURHKIeFRGGgg6BUxtwRETELSNpwdsMxkVRviGeJljUwmjEG4ErgB3+\n", "4j8zjLC3+9FPutJ1dAABV1uW1caV4Xro4Vce9pY4VOIARlPPE2LQD7OhZyZmf8GOfPdiB/nHpTAN\n", "uNhXYZlW5ZdPLEpj8QEWe7G4M01obnuPjFN7GgvcC8TWpOao8pRPK07xT8n28CtCVdmiym2qCpW4\n", "jHs5gvkGZgzwCTfRp9ogdq8py9576tHQrOGVUsyZ42JhhVtYH1lYMf+7p+vRPetKHiklJXaEj+P3\n", "UR9ExF0VeVV6EEFpEUS8duedhKiyVZUoVWTbNpZubUp6Y9gZFsa65cvxPjGaxGCCtTKVX1RVylDm\n", "8UZcnp5I8KCjhCwrOtw/A4vqLg/7S05A17xGRtr16NNBj7/5bORwvX9s1Tuqj3Nr8st+uvGymvox\n", "fdJWluPgvKpMXr2HX4KeJrbtnQEfHyL8cB96770H/91qXk7L56xhQYkJ7G36Dvv7f81aIIT6xPAE\n", "8YFPMeHECnZqEPFagaDJ7bonvHX9DRlemJIqnGjdplVK5IiAxCZNSH3rLdo+Aw9sgfT1sKq4sWt3\n", "A/a2p/2xMYxpDNQz54u8farN4TmFdfoiR3U/e1SJN3V1xrjzozJTuZ9EHmcVFrUxbqKzMB+VbgyI\n", "IL388T/aghaJoxj1poUVafehoX6P++0ZEj4k1sJ6ML99E2MO+hLzIYsGNi/5OlfnUhpDl8KVH9l5\n", "STBxsa/C0qhnyycWLbBYi8WSW27lWtuP+zuFEnbbXAnsLkvZL0pQIq04xV/Kpv2iO3dmhCqx9erx\n", "IFCMPkQymP3cwFHgLeAQfrzDICZisZ+60xTWKrAaM/Wvq6pYWDd63GP3H9wamfDRjTdl9A/uv6Ti\n", "2NCMhq/JS82ubra7BjVSggmOGf+MjFNloeGB8LQN7D4aSGp5ONalC8fj4tD2l1XdHESQ4qI1RWgc\n", "SVjyMq7elIa7aYc73Vq/V+VhWFy9YD0aNZDkmBro42GPjnoq8AldsTJ8w/RGZHgj0TllO+ho97AV\n", "M2uSNq47E0pOwHtlj0aTtlEt5UeunhNI4EN/wKFD8ADlSCr1PGmN3uLVouNJe3sN93E3v/EIx7Bo\n", "ocp47cBOhZHz76u86tnij+qkYsUeVUiaUK/sglbtWqW/ttS9PCOVL+PgvzHgvR0SMWamd4G4trSd\n", "bmF9hPn83QFzDpbd5ubNuE0bEKPppKmyVpVyZ7RZfYpzA1sZSSrDGcqtuO6DZ8T40o/BzIjKhBL6\n", "QySRSXdx13oLq5FPv3k4cGRg7JDwIQctrOvy3ze/UcyU4bn4eLq0a0cpzCmK0Rd77BS2sW6PvTz5\n", "vCSYuNhXYWnUc+ETCzcWA//P3lvHV3Vs/f/vORJ3I0FjEIJ7cHd3d3fXImenpYK0hSIVrC1WKLQ4\n", "heLubgmSEIgL8ZyTI/P7Y6e33D617729T9vnd+f1mn+SObPXa89aa69Z8lkopNgtYFW2HSslxEqo\n", "WXQ+xYDTbrjdc8PN4onnPxVz0JMP0JP77gq+HDGC56iFH2VR8GIOz2lGHjAF1VWTjh+bGFlW0qer\n", "ZDolgAmoimMx4Kig+H0zqNv5hMdO5t76bokLnOaYh3dokWg3z+5E0OCgZV3o8sAJJ1PvzvY5589T\n", "hMtNTdsJXmVryA3yxrxqDdZd32BtTWuTRqOxMJw5GkT+UoZbTej9xrZyzujeweeJlJKcZ+Rf3El2\n", "ugsydKrfww98J5tuuFW2FuiQ5nlCzm86Sfbz6Je3phZ5zgr5G772y1zLuPsWNBkSHHvCjldg7tuA\n", "ncylcNcDjLU/Y1rzzzHrDSTRkQLCCZKSGvIpqVLw6vIg8eHHNUfIhcHtvpZwU0LO8NJDk7zmOmYa\n", "C8iw1ifqCOQHqDGKt4BYICmEkM4KSvoUpgQB9+jGMvR5RVLKIAmJMphUaSRPviJaBtBZSskPxTRS\n", "ShhIZyZRwChimUwgENQfbqZA4RDVfSbccR9tj31+fernzGHOyNd/LxaJyY6zHTMne06OUVDK/04Z\n", "d4HREgKlnx/NpeSjnBwSQ0JIBFbxF0In/LvIetF7/U06/xJE/Nnz73Ko/w6dKPhM/Y4jxd8n+cMI\n", "1thUjJNhRWekB1bYY5/hgIPFHffBCopWQdGjUJ0eHMUJW7ulpPQYzmHVMqQRCv4sIJZGJAHrfaB8\n", "NTgHPpLQFpL5pKAwHB3FUQtHngCtdfO1444f9n82eaydbUqltgcGVellm6+bn+Zdwtus8dMsmczk\n", "ebU1NQo9nPUWgeijunaYID8lJhviK3fD+iQWObZLwMswTZgRB3KBUyPpknuWhh+Mqx8UuaqGnTUH\n", "ZydrFFGmTGw2HbLlGLuCPnXryG0enW2B8zFatmrkhv5tZM/QnpZyE5B7VpQqvLK69tdWxEcS3pFS\n", "cgRSZ9WjkLnktJnEfrOVy4EryBx3gALKcxuYICV6KbkpIzjyvDR7TyyrJt/ymph+B81MCenbPatv\n", "Gxw4yDZjLwXWwxSOgzShukyqoGb3PAfKFrmZFksp0U+nod9MjCV00bIth6SEdEsLcmxGcqSNdOnM\n", "EwntizBovhvjP6YlU9nGTKw0ZwsV0AATq8GrXMjNhkauuBb3xvumDz7mvvTdoaB4vM4jDnMcZrjM\n", "cMmb4DPh/E8LdX5Fvuup5zpUli59V5pMXD93jjgvL57BD00j/jrz7yLrRe/2N+n8SxDxZ8+/y6H+\n", "e3QipGS12Ur23kekjl7O43wdsVJtFvFDCf5AHboCPXpLbWrPKCqXXqaghOPHGOFIrsccbK4DuIWG\n", "VwiRnFUAACAASURBVMBAFAIx8IKGXPaHW9lw8gClpT91JFoSaUssCzmGQhAqut8zR0/HuxPtJ9g+\n", "6dHZ0tSpVtKqg67GSiMDEwY6D4wJ0AZYnXB6MILhB6aW6GH21ngU2GF3QqejYv36xO9uxsNUX553\n", "XoUtKgo5xn6oUa/R24C4xpS+upFhqQqKiKJsXgL+y+VDTli/ptCmRWbaOcq+DesYp3tNkQ6LKbR+\n", "hVw8uabsVqWrTHLQWmyzMMothEm1M0GpWHeCRrRH+k8lE29u7DzNnsWnyfZ4D9uMSFahBum0UvKG\n", "jOdYjpbMc3scbG+5zrLUJvT7JLAd9RevpnqPsw5u72tKS8Hap669zQOPPNRK2RdF00dBqaGgJCoo\n", "rlJK/Gdwc3k94iK4IJPxlNbJ5L/KxGY080K+yWYJ+6WUKCi9e1bs+Yz5JNONAooxHCgLnCkNV0wQ\n", "b4F+wQQvdMTRXIc6L6YwpXYRTzSTkupSSrwmeS10ne5aOMZ/zDY17fM35VpfdHtIArq1b39AJiZ6\n", "yHnzyBKCFYDzny0vf2dZL3rHv0nnX4KIP3v+XQ7136FTQSnyleJlsTIry0jqrZeYbym8SCzObAkz\n", "pZTo0NVwwCFfi9ZSj3qjFJRtCkqCgnKhEpW2ubmTZDhAEqOJxRUTQXzDQipjIJHmbASS2xAp71FB\n", "HoJrrnADJ5LpRTaLmEJJXID30JIdXq6cdYHDTPlB2bHxLSYFWSt3rfx1/+D+k1vSMskBB0tzTRPT\n", "po7d4pvQJE+LNtfenp2lSpEZLMgY1ATLwfMUvrnAztI2qK2lTRvM5cqSuISZtq/oU2cLAzaY0OfJ\n", "mjyTxZFmJ2z3RwVaPyg19cGb3jOlxxQPuXw3ctLomnJ0ya42s502W84nXsJkCTtRcK0yhpiwQcg1\n", "IXShDYX7HlHQZjNXx+6nQKcjCagpJeWlJM3oz+rt72L9YmAL65iglsajcHFPKKlzKtQwfyqGy6lb\n", "hfn4GSEDCMhCBYS6D2RThDmjoMxQUMZIKUGhaYnp5OfqmZOg85VbPguQMS/IXXedyzKfC1KQJiG0\n", "fJ/ygeG9w/N0s3SZhJCBmus/A0jzhZk2uJKG13v1qHfeF19LN7otU90l1JeS47KQxzKW9mWGllnm\n", "Ns3NMiRwSKSC8ptdnIBw4DpwIDSUEhkZfBgX5yjr1y8pgYZ/tpz8X5D1ovf8m3T+JYj4s+ff5VD/\n", "VTqL3CH3FJSRP/4d7ZMM+t5O4nlaDjbjcvLMDZknpaQkJf298MrWoLEWFXN0UFA6Kijf1qd+QcVQ\n", "O2P0Ffe9DGYgvmRRgXzmsQaFVLowHUpILfNlIUywQvKncFivJRo/sunHPRQqAJW99Z7pjp6OtnrF\n", "a0e/5z/dNiRwiG2m08w7CkrQYAa/EURQob8oJieVbbt7LGNvBxCQoUFz204w3TEAW5nKyPR0rN2D\n", "a1jXfGQf9e23yH6EJW1g2ImXFF9iRmuzBfFE3sEWs4tH+3aXtLxfbnzmjt49ZI3O1WXxd5C9ekbI\n", "eS5dcvK97W2FY7XfS3i8rRJdhYHbw7tjnd+RQuYSy2BSLFYS8gpZun0vj4BVUqKRkvMXvubNj7ph\n", "e3TBU6Y/dbelnnDYsK0S+cdK2cklzLQ0KlPG8jgV2betezSwAhXwLReKWry9fsYKwm0ut9ZX55WE\n", "57VEPzljlq8svYQ0q41k2YJDVngbhcF28+xyw9uHp6HnKdAWuCQEJ10h1IJm13GaXVIwpMxm9vYF\n", "LEi/sb56Dyk5JCWx8nMMEq6PaeZ9yW2am7VHpR7Dfocsa4DJRTGN0fn5BMTHc//ECUw+PuMk5P2f\n", "laE/h1Z+k86/BBF/9vzfPlRgOioMaKX/FJ0o6FDYgaLChCoo5Yqu6F1/ujbyFJ33XiLZmoFMusqD\n", "4GD2+Wm8GwYSmCkQtr70zVRQ2kopeYM3igXaB1xv1Uxr29qtx8tZzFqgc9KdxodkZpGDQgGV1kho\n", "IoEjsyBYwnILpM2CHcKeNIIopBdr5mnmja+vr/8ER2TNDiKtd6eIuzNcZhgVFLOCsnI2s117laj7\n", "yAknWZ3qUTd3hl5Y1r9avg5dtkcwxxwHIN9aQsHKlchwr8C4mBgsM9tS8Ax3aUFzdic9462OIkc+\n", "xPo8gXNf7SiRubrCeHl5bU3ZrUo3efmOv2zWoa4cVK6dMasc5selgmPOleIBBl6gMDfpNpYqXTHT\n", "lP3Va7BMStIyM3nYrh1pQL2VK1kxcCAJfcIw52Yj89MdLOeX1vtsRwXS0hyRG/TtXvahl3XCO26W\n", "q09ELnBFizYNFSvoo184t/alp5JlFiS/D5+Av6RXbXkqhuPyCXujvUjQLeSYbr7u/tDiQ40eeFxH\n", "DRCn1q7NbJuNc/d0Fb5czYScSBadV1BqflZ71P2UBz43pCReZjBZ2vGOCV4NrFfipds0N+t43/GX\n", "fwfPlgS+R236EHrlCl3T0ihYsoRUF5cfenf+78nQ30XW/0098Zt0/iWI+LPn7zlU1JLgHyFW1Yaw\n", "LaT8bYzsn9krFHgHtXP3VWAc4PlH0PmPtQoChZ5MI5lRfI6Ci4JSU0FJUVCa/Nz6CaNZkDwFm2Eh\n", "Jl9fzKHBmvtBmtK5gK0NbXIUlDYoDGM61Yv5cbF/P2FcETxpyyIWvapO9cd6oU9iOPsxCMmwBpIa\n", "fEUISbhST6oNHL4xQmwHB77CEaNTsFPmQrEwz97D/rqmAoXOPpjpRUr/0P5rFJR8BSXnLbsFU4+v\n", "LZtcnvLWkp5Ots/f9X88nem3QwlN0PiQa29AVi2jv+OEvTzYGbPlIbbJenvbAuY+U1DePta1+T5b\n", "AqY1Fcbkn11Z07a8xDRbzB0v03TX6fJujKcc36ORHBHW2lR9CvLLci6FTvM0+ShMqb6Ge/GJSB83\n", "PgSubN/OfKuVU2lpmO3s2CEEBc7O2GrX4FJONjI7zilzddlxUZcCRFq0F7aVDp4Zc5gjW3m3MEal\n", "Ym7TlzyByGhM43yBiANcrqm9PgfJIixuFDQO83mwKxzLddgEJBG4QIYtKi9tNlKXdSXBfgHZKMxZ\n", "oF1wYAhDNqEiTh4pVoxAKTlhm8aeTQzNf5+p481GbVjchZIP8tMdjDYr02QJmkp4GI3mWpMa1cwu\n", "010sk7wmpb2eQvgL/NoXFZ98Qa9e6I8cYXtSEtaxY9lBERTD30Ux/l3oLHrvv0nnX4KIP3v+TgVe\n", "GzVz4D0nJ/ylZIaUXJVql5O1Ui08eQ3rQU3T+409tUVX351AJmq5emt+ATPiX0oj9GAEDuQzFBMK\n", "e7pX7j7GgCHll4T2pj8Nsx3Ie2MxubMjiS9TBquXq84mEJaqVM2v06LOBhTimcuZMiGkjxjBk6W+\n", "s5wVlKGtaR3thJM1MLCfFHNdJQpPWEgeE7DgxERASGgq4UYGXCwbwPF+mn6yhmuNFNy5FzwJK27k\n", "U5ZsH3efskX+d9Nih/k53w7pEjsyqHluMV9hq0GN7NnM3uGp8exFTyze7bA1F1qpCI+4ezeJmzMN\n", "a3WqWYcydMOaiuOTLaka6zKvGbZj35S2LXZ8I+tlFuZp7tPkyZMBcnaHlnK3roVxXjvM9vORFXuX\n", "zcNA+oE9XDnwBQWolaQ5RiPL7t0j5tNPMQPm9u2J37qVY/n5yNy72oJ39HPS79qVKtxWEUtEWU12\n", "P/pap+imPBmwg/SLD5BCkNaFLjscccxyhfbvwoE0SJNwRkJtKdHNOcimGhOwFcBD4Bb2zGR6CXnw\n", "bGX5zkEyao7ilX4hZecxr8ssZqVr0aYAw1CzdBT5DTckJJvG0eq7xzwtMGpyTxqaZp9vWa+ChI9s\n", "kLAEt2+aVm9qcZrpZJroPTHt57r8vMafnkU8+RCoOWsW4RcukHj1KnkDBvyQ4vl7eBO9lL/dIFlB\n", "Ka2g/EfxUv6rwP8DRPzZ83dXOEIQsBoV4+NjIERKQqRkrpTckJJEKVklJW2kJEpK9klJ8O98T97A\n", "JOAGEIca4Q/5V+j8mb1boSOLjuSjkFOpe6W4eXbzMntW7PnzHxmobxakd+rHtfIriZo1y+6OmxtS\n", "o8Hmhaelj653fxT62M3mSulgbO2GcwdFLQ4qS9khdnjIyqXqSOeZzqaK3Spuw4CVhdjowi36UVqq\n", "2OLDJCTs1dS5NsJxSB4gG7UjvtS7PKUBOejIAybNY15DBUPc+8Wnm9/ULcz5ZkojW4h9ifsuuJj6\n", "0Odx/fr1ZzAPW3mti1zAvPzo74IirPnkjC7mn+KEky1cH2q6cFZYPwkaYxkxMDjXgCHneSaHelbr\n", "KrcvriUXNm0nZ5VtbHvihW1UB16JRcJapVuVA/IMGUP6kgWMAE7fuEFKVBSyQweeffcds+LjSc3O\n", "xpZ3j8JMB+2lc06hhROa89w7RJNrP9Xe9obujSzHqY5rVm3F0qkXpkpUqlGPmsZFaK+lQOZFyLmh\n", "YpAgJQ3NhdwuOwfLoVAsVWE/8DkGlrVbXUY+StHKj+uRbdJQxR33+lOZaqpClUvwQxEPzeU9UqSO\n", "dPk5+3JN5K+4wIu3fKa/uESdNyTEWuCLxoTua1O9jcVxtmPeBJ8JaQrKL7bjA1qiZsisBBwnT2bR\n", "8+dY9+7l4oQJ/zPD5Jd5E38pOSMl83/pWUUxmqkKSpqC8puGz/+GrP8V5n8V+H/oUFER2xajos9t\n", "54d2X5JyUjJfSu5IyUupdkPJlBKDlL+E+vez+1dFDXalAqdRmwQ41+GSrM1l+XtzdH+yZzkE0YRx\n", "i4WkhfcOj57sOdnqOdlzPwodUH7iCoIWNkiZ2oY5KMTV7hd2qqyfu9VOL2wCZMuqPpf27cOjZySj\n", "A4ojSwwlH4UNKFSDBxKCpGuQ63Xnqc65A4MGZuvf0FsdpjqYmIeV2WxDoYIE1zwc33uXubaujq4P\n", "Hb2xevhiYyxRjKMQO64CV73xrr8uYsSJJV6zjFs79Hv1pn6hrTvdL9lhl16Ritn+ffwt3Vto5WDR\n", "2daL7udlLh/JjRQuYPL7LWiRULo0sry7r7VLcJlMAwarzcqKiB5VbZ916inHNW8tB9ZsIM0C2a87\n", "K9ymudXSLSKtzSakhxd5wAWtFnNWFvLiRU5KSa2CAsy3bmE2HiS/UI/ls+pkh3TlsJsGm8t4F2u3\n", "Kt3ip2umjyYMM8WxOg2k+07Kn4sB2x2IbwuPAC8pKSYlX0jJiyV9uRExEuM1FaPkCrMYYvcWlkfx\n", "znJH9+bSqBoM7zWhSc5kJl/nH7AHFJPJJMni5MqPyT0Zw0HfJTxb5Dry4DOCHkiIfQFdIoi40b5a\n", "e7P9XPvsCT4T0hWUiNd4oy4qlrsAHIuU9guglaMjxRcv5m5aGpa9e5nxWzL0z7xJvSI5UKREg4IG\n", "hTooPxb2KCgVi9qynVZQyv7VZP3P1Uv8Jp1/CSL+7PlvWLZuwExUuLjDFFW6qf8nXKqKO1pK8qSq\n", "yKdJ+XN4I7+4vx3QAzgAvCrDONmDj6UBQ6aC8pWC0vr/5cpZdCU+ghOXmc1j/zH+D8cUG/PScbbj\n", "NRQSUHgPhR+79UAnCUn3fKmDwuKKXSpmV9JUNNUq5Xdeg0a6u2psU6dy/NtvWevphcWhCxtQeMGw\n", "hpJy6yTwFGeSxVzxqEbHGrvcp7pbB5UZZCnXu9xFsUikoHAYhdbvMmf3Xprf8ADb/qkUulSmgC6Y\n", "mUk+HkwViDQ3rdPGq1+FJJ9e3Cj34od1HisoefOYl1ue8g/1Gr3Zs62DPOpUVr7F3MLLhtqlZTrG\n", "glF2byoocRlxTraZzSuaiukczAtZKN+Ypd/tP8Pd/I73LDk2oo08aFdP2sAii6B3q79BUsgyrPTH\n", "hj3WiAiuWiw8lZJOVivGdWvINw3BlO/Eq3b9eUVTDvliV9ggoo7Ja5JXzHSm38KB5yIEq+Nssk2C\n", "uFPobZ3Q3QYuVauGt5RMlpJUKVma7Y2hxHQKDwWSWQ/SGM9mFAo+vMiVswcbyCQ8pQ9Ee+O934Ah\n", "Q0EpupnhKwuIkQ2wyh5cbbeFHigkf+0T/mUuTmYz2jVD0Ye2pW1C22ptC/Tz9K/G+45PV1DqF/GD\n", "QMUgT0FNbaxZ5C7ZDngFBzPm228xvnhB4tOn/GIXpx9kqCxRUkFJelO/sLK0MF5aSMsy0g2FViis\n", "LcLmeYBCZQXFTkFZpKCkKihjXq8G/UNlW8EbhakonEfB6f+aAhdFC/9jQwghpZTit1f+eUMIit4W\n", "/xKdQgh7YBAwmyI/OWqhRVEnFFEJtVlwH8AMfIlq8dwsAgD6zdFSiGAY8fQ4Z3Hi5ZMWtHhQlapB\n", "OnQewBfAJoM0PPsdtOqA5UB7hnDCrrjd4GYnmz2/VvNa/3Tf9AGoyJJPgY3ATqnQATVjpplQkM1O\n", "NNtT5U6V0CveV9Y+ePpgknDJNdk7Wx1GjsR09y6a78/SoCDg62vUWQUuZxJYQzHceMUInuPKNad8\n", "p9atj7QuFv4w3Hol4srTcw3PeQY/Dabdd+0se3M/uNnZlbbveFFYrzy2Ww54UYWM9l+0X/Xi+Yt5\n", "MQ4PrStXkNylmZv76rDJuYArcD6W2I679LtEuM5KI+MYAqX55aj16485RJi6LK65YGB4jwd7PEq+\n", "sr1cK/KjC+o6bw1Ykfo8P7/EUtfJGC3xtEx8Yasnr1AcXFL9mOU8nsg5kPvGNZwojshczkR3VybZ\n", "bPisGIrbpBNonxXnRd1muGXuJTEkyte7t2N7ryUzN+f1XN/T/G3it7ZKfma/tuGYn/iSUmVXtVvv\n", "8bhZHnl3rl0jsmZNlqHe3iaiI+KDOry/ujrpW9YS2KA5b9KYBgEulHs5DfcbFXy9P4sysY7sngpK\n", "T+CJQSrvA9OxMZP+wGFOu05guruJM+fW6Z655rjXjKPUiM6k3W1EozMp1VOMp9ufFqM/G41fql8X\n", "gzScE0J4ogZKSwD9inhzStE826gR2zZvJkII9pUuzSCQxl/iqUgRaX+RusYKPCAk6EmrkXvXGgpc\n", "iJjxCekbnbBHvXHsAfZKg4yKFJF1UCGonwNjDdLw8vfIwO8dIlIIoCkqYFt7VANoHXAGRZXJf1XW\n", "/zfH79Gd/79T4EKIINQS5uOyqHPQv6vAX9tbC3QD5qH2HVwCbJdSmotW2Bf9bTRgRPWl70ANYt75\n", "VWUuRLl7VIyyoiWJO291g+IF0KM0pe+1oU12cYrXEYh7qIp3t0Ea8n+D1pHA2+7l3D/UtdbNtzfZ\n", "52V6ZNbLd85/icr0w1CFYM+yIyRPv0hfDTQWCnHzjvbam/HMq/W5mueuuR90r+HqLOYklz0/5MUL\n", "avbrhzSZZoodOxaQPd2jGt/xMQ+IQGClL1EEkAvE2JnsWnX/pvvnYVFh9Z6EPKlQ6mUpt896f5Zb\n", "xjHjzNW6NBDDyVteH+28lvjbNGQ3ONdgUtCxwCUn3Pb412icR8kr3Sb7p1SNLHrPsdeDrzumvkgK\n", "vmO5RyvZilqaCrlTL69ytvc1TXi/6sxJ96p/Gd7idJWcJ/pq7B6x1ileZmvXpHfh5kFvPAtu22bL\n", "6yZHyKjUGFuloZR6sYGk8+c5X6kJgXdPUUaaST1cl7LNn6LZOZb4ITrsWY8mIrlW4lCqh60Y98X3\n", "WZmegbnbs8IWYKRqMJpefXgmC5wnB68I3v1M/zD6eaLlvrf3P4ptviaX5nk92ONdl8JN63GKSWDT\n", "fBUC+P7ZnqQWnqKy+0Qvpzo8ZBEfN0PIL2clL9vg5Js/EbiKgSa8x+P+HensYeTa+0dxuGupnXWS\n", "5qu+YN+TJjTZcb/2/WcX2lzwHv3ZaFEspVg3gzScEULULuK5fcCnqEBa+cBQoM3o0az44AM0wFhn\n", "Z7n51/goUkSGAl/dci5WU9P0e95b843tVhZi/g5uPtHzmRTskwaZWLTWCTW2MwDV8v/KIA1/mAIS\n", "kaIYqrtxJCpO+zpgszTIf7R/+6Nk/X9j/FeB/8wQQkQAb6OivV0EDsKTlRDyhx1qUZOLlsBc1JTB\n", "94ENUsq8ohWlgA9QcSQuoV5dTahCtQPk/Z/fV8rWHOUIbY8BFXLhkzqQ8hD6aNFWiSDickMaujnh\n", "VBG1vd1G4PIvCYkQorEGzTeNReMCGuJ/qf4l4ZXhtdwj0+ON+zvv24oEYiAw3KMAv/FXESYX2i7b\n", "w5bMWA/f8zvK2d5LSLZv8skArVlv7lZhzbKSn3/OJ9euoR8yxJ4JE0yf+/uz3NuXLZSgkAzq0J1c\n", "QrCgplHOBGYqinIF2J7rlBt2uP2hnL1jH/id3MbtBvs4N7clY2Pdsd31x+LxyrO34XgPQ3yjr2oV\n", "d/JclPXBiHWoDYAjCnWFcR9PWhLeZUO55EPZ6cXchBPz6oYZe+8+Z/dprTFvHym5fmFGupfsmNBJ\n", "hFTfnmfonabfqK9vd3FqBHfMJ+U73BLBcD5oMPUvR0GFa3w3cBJ+ixcT7pxCbmJVPB9KrMvnc+O7\n", "dELlZ4je2b0TWuDhGFxmQ0yHftamupUO9u+X0hZk98ornKPjFhAesLjYC68S+WGX7ucYXVzYhKrA\n", "7FFvQc1bfcnx28fpePtL7M6BZ+95KLWdGX5oNAFO5clsmXHe65Z9Vd50VxLbfHDEsfKAu4eBj/iS\n", "g4zFEq+lR5wHB0pmU3Ahu8+3jwgve4hDJxvR6K1TDU+dudX0VuUi5d1TQTlFKG9SlhncZxJxaFFl\n", "4S1gr6sr6zdupEb79rxycqITyIe/xud9KvSZluaT9lZUlasFtarl+mzsIbh5w3Z0xDl6xRpk9utr\n", "I0Vkc1SFegmYapCG1H/wYaSwlwZp+rVn/dIQkUKDKmujUZuKfPvDc6Thfyq3/yrw/wARf8YQQrgC\n", "rYAO4D9cdWdHf4iKl3xWSln4Bz2nDqr7pBFqBstqKX+wCEQrVLS2x6hXykaoaWvZ/MMyl49+3Os1\n", "5hOiKmpBUCdgyxLYPReaA0M98MhtRaun4YRX0KApRL0qbzZIw/8A5C+6kexzw+1xP59+DQ92Oehl\n", "1VpNLY63+DT0aehHBmmILbqS1m4aw6qbAdQ023FmVmNxvnde2SGhrZ75PorXmaKWN3U9kJz/xhff\n", "ninerl3I5LNns7HZUo19+yIbNSJ6/HhKW/SMsVjYRgtM1MIR1ZXUEli7KHLRaY3UrAfmdpy2fWWl\n", "jY8DKwzQFyDls1TPwnJr7mEaUxlpr2fso25+66P3lxMnFrScCaxFDfpeP9Z9tcmRNIfM67XnOMQ7\n", "LLluuSIOfOEpnfOLJ8y98rT42e/zRGTy+Kxy5b92WjgqkQONXPXbqk8h3uHkuXG28w1qa8nBitsQ\n", "DwqbvI+5fn30lz7ija7rWbbAFdvWTl4JKTLDUbtFGzfJOMktlMILY1jbI2wIDokPNYx62vSe3bAT\n", "lZuPIq39Vk45xtCw9mN9wNc7NTf8SpkGoboSBgFLga/mHmPpkpNEr1uPtX8K850V9gkTj28NJCvs\n", "EHfsDSRNGLp6QBf/vcR8E5w68vK6Flo7230Oc4FeVLblsSbXjimbqvMw59r0iRar6+6LXDxbjWrd\n", "9rfavyU6Irr9qHWjNO5Z7v2XjFviRx7L8cCLPLaxmQCy8S6ip2F4OO8dP06hnx/HtFrGwA/Gxmu8\n", "ovJBLZ1Z18sp32m0TWt17RBtMy7sVJDh1967ZK/+uzh1quk/yXqkiPRAbdfWFhhnkIYDr+33wy21\n", "mDTIvr8qR6qirooKF/ARUNw513miWW8e4ZTvpHHOc/40vmT8UmmQWb+6z38V+B9PxJ89hLBJtR6i\n", "lgHoAIShdu4+CBySUv6uTiS//gxRHrU3YDdUjOQPpJQvQdihXidnoSr4paiM2ge103waqmW+UwgZ\n", "Da8xnxDOqD7MYaj+vpMm+MChCsHE0pVsWpWn/M2WtDR7411bIM6gKvODBmkwv0abK7BFi9Z3ClP8\n", "zrc9H3ez+s169S/UtzU81/CmzqrbDHxtQHn1yoHlOyrSdVJ74iwaKrvp2b2tF08qaFyGBPgVVizM\n", "tj+TYaFx+/alefjw/nG9nmsaDRP8/dFVqYJ10Eg+7T2I8YSRTTsEGuwAG5IThkhDTYHoapBKupzB\n", "45SV3s9HVItwu9/ppO+tWQW6Uw2JH92CYuPL82BeX33pd13mP0MthhoOrM53Su+xbtIqvfkz7oyy\n", "TCs8Ven7im7Pox2/uW3mgxbdOHMnhfqirDGixHG7YkfiCkO93BzWlJjAC9u5vLH2Z+WkAeQuseJT\n", "UcF26DR2EydiMRp5q1QJFr3q6GrOScjXuu1z+3q6dXTzrhy4WJ77HVpXwHSqOfZdM6m3+wv2pefw\n", "9K0L1Fl/HE1YLJqFXm0edPvsSDXUm9gngCf5jMGZ62I4m92y6J6xm7yrRJTtOfLltmF94vPeakAl\n", "ZlCCj8jas6NziStD62JvKaxkkIb7nBFL6MI0Mnn22AvHrl14FXi9fctad2pdus99WyCBgV/3+HrZ\n", "ywovx/Tb1k97qtmpg/EB8a1JxJUozvCUcSRwHtVg+AL4eMQIAj/5BC+djrnAutddeSJS6FGD892A\n", "LnqzzlL3ajXftg9ctJONF0653Cu0oxhOJUu+iIiPL/lPijFSRHZB7eG5H5hjkIbs1/YNA74CngEj\n", "pUG++h8yEylKohpZrYCW2MhyzXHNcMp38s30zCxd4UEFa6V7lS6EPAvZDXxtkIbk35bD/yrwP5yI\n", "P3v89FCFEH5AO1Rl3go1qHewaF77MTj5rzxLlERV2MNQAztLpZSPitwq7wO1gCkg94PQoLas6w30\n", "vHGjuv+OHX1YsmRuCMhnCNEd1QJdDGxFtaamKk3gncYUs9g4KS/zgmP0Ewj7EEKiW9MaP/z8gc2o\n", "gc/7RXRpgMUaNANHMUqfG5r77rb+2zram+xDeu/s/SQ4JrgucFJg2zKfxS212CpEjGT0lZL0QfWd\n", "ZtfLKnl1FmF9gvs8calc+zl79pCwbRu3T56kf0YGU4BFFSuSangb50FTcCh0wCS7sRsHosK8WVh9\n", "b0vh8KTkic+Hft5N3uAZR3GWRsbNdZj9YvDZDbu23hJe7hszln5czzZnaFt0M6/aDX5//hs/23lk\n", "pQAAIABJREFUfOzeNtob30lqttrjoijIczlc7dO63nVHbhy5xu1tf6zhYegWta9NS1pQTv/U1CPu\n", "UH6h3uq5JGAMrubMB3O1X8Qu+Ip27zVDPD7NxrAetARsaCgtAhDCSyMb3624agG+I5tw2lyANbqn\n", "jkrfT0YnLPSyrmQYEJuWx4i+a3E+lYlcsGbacxcH7ciZScsbAFOBt/HnAMms+9Cb49NHELl/k9v1\n", "kqlBum80nUOe1Lgttl7ZZxLpOJPJS0IZ0kXsPW/Cju9kW8ER0YEB7CMD49ZK7BrUjkZyOfntbe1T\n", "fPGNcMbZvH3E9kWZxTPfKvWilMPLUi8LbfG2GxykMsmMlVLuLDrrUKC1vT1vbt1Kepcu2Ot0dAd5\n", "A0BEClegDWpmSnsg2s3IYcPmBo2j4ks1a0zUnQGRNxUW8R5wCpgihBrklBIRKSKLoVrJ1YFRBmk4\n", "/Q/+V634oaiGygLgsx9cHSJSuKB+LFoBrZEUc81xvRUUE2RBUjEmOKa4Y4FjTlBM0LHqN6uv8k/2\n", "P2eQBkuRYHmjfsgHAg2RMufn5e+/CvwPJ+LPHr92qEUNfxugKvMOqAU3h1GV+VEpf/3K9svPFN6o\n", "zQ4mAmeB96SUV0G0RLXEn6Aq8qdFv9A2bXrS0qfPDsaN+yQVtQnATsZzj4+ZggohOh+1nVWXx468\n", "0SOcCkl1SU+1x5ErRHGTAPIprUVrDBSBiXVEHfcQW8gzHboNqAGlLCHEAA2aj3rSU1NelO/3puHN\n", "YsAyO5Pdlikrpzx0znfuI7DVGMiWdD+SMzPxaFRKiS9EDXgO01g13UKiKjg3K/2Kd+fHJ2Wk4e7l\n", "RaGXF2vq1iX78mUmaTRQJgjzcwv+tkJ0dGRG9ioKnt/0W/VdrwH2pQ+vMIaYZEyNYZQV98hEUglJ\n", "hLQxR2hkg7qjRCljVWLq3UWsXM/adbYJZ9LwXWnVWB2dKn8i32mT4Zm/ktz25dvH3a96tUzd3CTH\n", "9RvQjOrvwe7DBcyhjdXRM1xbvvddjm8qRR2nlEM9d30bkRSKd/GR4O5GGeM3rKQ0remNnfPX9hqP\n", "57YCTyzOg9DfK0nh7A9gb2FjhAjn6e1PeB+YnZ9PoVVDhWJjiHdzKBb9/ouWXgMObbUDnpLJJDzp\n", "ICHyBFV3jW6dM8TL3lF7bv9jzQbtkMXXP945es2wLGcHK4JuZHKY0EiUqjm4XFnNBIw1HdvykMNA\n", "ap/2TNxZntUs46m/yV92o1u9dKf0F7um7zpv09r6eGV4Sc8kz41P9z/1wUgQ0FtKGgJeQvAtsCEs\n", "DM89eygdG4v+009psqca8ajuuK6obooLwJ5hNzjzwT73wbtpMW0dj+RNHuVs/dq2omdPpgJzQG78\n", "UYYkCm8ORvXvbwIiDdJQ8A+ejxTuqLeQyqgf3UeoSr410ApJLXuT/cPgZ8EpNW7UcC9wKKhxrfY1\n", "S2JAot4j0+OoTWN7O21V2tWfCFLtIjnqAuwF1iLllV+Wu/9bCvyPyFXciNob8e6/msv4Z8//J4wR\n", "tRpzAnAI1Vd9EjUYF87P9pT8zf2cURHe4lDdNq0eP8ZOqlgraVISKeVP8SbQSUlLKflMSlKtFnFx\n", "S50B91JLej+UcE1Cc39wbAnvhkFGMQ+sYa2J0c4nlgVE04wjlCUDd2waNObSlE7tQIf8iUzcraA0\n", "16Ktq9Vqs5pom5g7Vu84AAV/FHahEIVCQwWlxGLmz3pM6Ksoyha8xYJlCkpVBUWg4O5Tc7EMGFFS\n", "2s3VmsUcVtZqxcvvv+e41crLhg3J7tOHfaGhTEXwBBcsOGGjIT1QEHM8p6VNeScw81QMsTlZSFMC\n", "toIDJFptDJeSFCkJl1KSlMP6JusxNxnLywItKQn4LzCw6PFK+4G2Tn1Ebun6pU1VqFIwnSmmCmOF\n", "7ellcjMee9hc9VrphlaO6e1u/nZCG7m27iBZmKrNittKwbnWZD7pRzyT2aetRraYhW1sqLulAHvj\n", "Q8pl9cB7vhbOeIK5nytm/UKyPrlKTykx5uWRNGwKcSefYtVFcvPjz8pkF+brUqWkh7Qj6AUlrhyg\n", "/cs3WfhilOuoXN1cnfmsn+t6WYEjiTnER6eTbbORI2eQIu9zoDBPV1dBuVyX83IpM6S0wypLklxq\n", "KhUwkIwHR3ToLvQs2VOW6FMiDQPZLMLYuVrnzDaizTTUuMrHgIOUVLRYSK1ShbeBtKlT2Z2aimXJ\n", "Gu5q3uANFM6hkInCVyj0RcFdgq+Ed2MpnTWUbvlOOOQ52IkNWVl8KCXPpeSfqjjdeSUHsEUqKLd+\n", "rpoShQgUnqGwGYVxRUBraZqFmqiSI0oe7Vy984l5dvOSJvhMeF6pR6Wbuvm6V9oF2gsoDET5SREc\n", "OEoYKuGqhBgJs2VRm8CfrLMrqmUY/q/I+p89f4/u/LctcCFEI1RozC+llJV/5v9S/o0t8F//nXBC\n", "DRz+YJ1b+NHVckrKX86d/Zm99Kj5uHNQUwzfS07mip8fy1BxWKYIYdsL4id0Cj3Q/NjclovubK5S\n", "t/vw3bsCFz+viWrBz0HK28OE6JQCb5+HSgGlSUlqSVRmKSoCTjziIbspprVodQLh6o67JpRQk73G\n", "/vhV/dVmQZYgj1cDX51JDEqci+pvX4Vq5c+TCiYjDsdT8PX4nGFuEk02sPVDpr7rQxKNfZfIbxp8\n", "8yyrSpYbibjrsvhiSXOuGmay6t49jMWLc238LBI3fE5/mY0GOz5cZFqUklAiof36UetDP21OyvZz\n", "VPkmBRnbl4JKtdDrNBQIwS6goMBMi47b8bz2kLhnK8nWFrgFrRATglsEvE/rPtJmv9KJMbYxqXVd\n", "T2Q+2nMtqC+l7I8dLuDUcq184KGXRv+XmuXLodUFdq4+Qe9J8RTGdeeNyndYqquO5tA2nfRNCn51\n", "hiZPEyjRxoBSDth+AUp0ncmxWtWwO9SPplk5nPHxQbt0F+HFQzBOOESpvY610s8bmi0OfhXTLgW/\n", "VgU42sJ4lD6Lp3sedX/UuXIjLt9ZTEfLcVKPOOLdLIhYJ0kgV8mgAUtXh00UXtHpI+twJdzB10hJ\n", "5/iCxc2purA0h/mKKDypIaqKYnZOdgUmN9Oi3l/1vhKQGLD7aNbRbx/ysDswWUq5HYQzcOXwYTZ1\n", "6UK7Lftxr1+DGoO+Ie1UIlYEe1FdeSelQZoQIgCYaUMM+5KWz5YTXymax6/qNzGPO3WKCajFP31B\n", "pgFEikgNMC4fx9UXqUcLTtj9U3xFtbpXoroBXyGx88rwelj5bmVztVvVynhmeroX6gtPHmt5LPNm\n", "9ZuVzHbmUNTg9npp+DGAXyQkwcBYVPfjVVT/+ndIaX1tjRY1GaA/0B21MGkdUn6p/vv/lgX+h7hQ\n", "hBCBqIUrfwsFXsR0mh/8Z3/EoRalDlbiR2VeFdU/+EMg9MXv3EcDdETNJfcBlqan89LLiw8PHmwf\n", "NnnyRzx9GvKzdL7jPH+IuUC/xFnmdZ7J8tqoDWy/BxYiZewmIUrdgRXnoFOMFpuuOXeT61MVMGLm\n", "GJKNYrnI8jZ7D7Zg6ZJPvo8evUWHTkcPUrIqZz1A9W12AZoBYyoopK6BdU3gymIWbrOhHZiP4+hM\n", "3BnFgtRTdPLdq38851yvcwXAMkKwcJDH2mfkmdJZodUw0GyhxdA5OG1ficbd6pE+gQn27098f0Sb\n", "BsZ15eKR6WewX3OQgm5LebRlLHW/fsCxgZXRutjTzGLD2ncXcadiEbMe8KXYPWhGJ8uRnG4DzD7+\n", "d6o8zr6aHdaT5qYqhg/s4qPbawd+dFR0aSbkF2s95dn4ZM2gQdBOT1L3YLwGZ6BvVIOsjDJ4vLfH\n", "T75M6JGeRrEj9Tg/tjXfz0ENFL/c1Zm4iY3oGN2KNOeBODve41bpNpg3fEKzW891eTvWBel7be1o\n", "K8TOqRL3ZAhPLpXl8Yc1XG0Oj5z5QDsBlxhX8op9h+edz0m+kcjToUkspRObsFDnFE0tHmQ+rMTd\n", "3M3FB/oNtm4mZbiteXF73icJb9wpxXNs9W/Wf1lCW6JsxQcVw4wYj61j3ZN00l2B3lLKKACjRWza\n", "9YASi0+SuK4zAwtMiDE72RYrWQ1ckYaieI4QpVCNh/4peO0aSZ1GxzgdIhCb7jzJ/zIkhK2oQccF\n", "kULRo+aOf1nEY2I1E+qn4QOK0KPGcdQML0ktjU1jLBdd7nb9C/XdSr4sWUYjNReAYyebnnx6usnp\n", "RggGoXax/wy12OfHlEJVHtqi3nojUBMAPkb+4FpUhQaogaq0+6JCUGwDdiDl89f3qsZNa2uOspQ5\n", "x4FvkXLN75HLP2P8V4H/wogUkTVQ/dh7gN1vsuCIHjPzWKL5vYUFIlIEoxYkHABu/TTnVAjhhRoI\n", "6oDKgAn8aJ1fklJafnV/lSkboeaSV3Vx4aNx4yLfmz37I3x80t8C3gP5P4p1IkVkV1RB6G5AuY3q\n", "3pmImnHwDlKmIYT9ZphzEqZ8VQ0PcxMs/o/8r72sm6RBEITK/F+WeKtEhrfVe0488SMyyLB30jgV\n", "iPKiMLdqbgLBfI2eIaQSwybKXcgnox58B8zWYbaVI5o1jL1ZlQvVL1OfA4R++AU7D+c5522jN1v4\n", "lvHU5Ct5TA55miF84nOY8TKGObMGQqfk4bbzXMiNKvHoi6c3mNh5AYXTzlM4+A4Hc02ELThBQkwm\n", "Tbd0w+7ZK/ZXLkaFyYfRHnpMuS1t7XL8TnvbxSUkPhlpdC/ecclgl2wSdUsGHEk7UNBSW3XIdc8K\n", "LeJE4iX77MBGhW4l/JypbM21vCmwpAbgMK8hhfPjWojoYw0RiFfTWN7KjdxNQALh7LNmsrzWQhzb\n", "B3H4zVm0ezuaBO/FjmkxV8tVW7z+gbaOwYvO+8vKJk8dKM/DA6Xuxn9AJepfuUKnDh2IqKSQ6ePD\n", "/a9HUHpLNT4c1IrZQHmp8CnqrelKAQ7bXlDqRbmKj2fkp4hDvZr24VDFr1Ix484loDq67lu651ZJ\n", "qlINcEwg4dQXfGE1YdoPTJFSFohI0bqiL4teZlMvJ5eHrS2U6FSBxC/XEnHp0msBPtWqnYdqra6f\n", "SofYAzz6MJnk7EIKu5pkYRhqqt84kLsjRaQzalaJFypGuPLOvHcOFx796AkhRyH8m1d6sz7NK8PL\n", "+MrjVfla12rJFida3NDatMeAY/s77r99vdb1LqgfwxBUX/kGaXhNIat0/RCUHIda8LYG+AopC15b\n", "E4Z6a+2P2mxi+z0qHttNL/8i2WnoRfrGSazKpMjPHkU5v6O0ZhKrOwOn+IVg519h/GUUOBD52p9O\n", "SSlP/dsP/TdHpIgMQsUZ6ZmPY4QZPe5kpwNHgROoIFJPfrEIJlIEovquO6ECAB1EVebHpeGfFWtR\n", "hWYEP1rnpYAjRb/5TkqZ/mu0CiGqAXPAu2+JEv2Jilq119mZqqiZDft+WsEZKSJboWalDDRIw1GE\n", "8Ee1lPqgZrqsRMp8hBAx0LlbT76Mt+Jm+VZnoZRmR2avwgzc6Izq498MbG2ptNx0lrOtSlM6P1Nk\n", "6jM0GXpKk2cNtj4nlLKcRcx5QMYC+NQVuQjUG00r4WhYjHZ+CVz0e+iQu5+Xl49zvOrc+dbLGzfS\n", "6tw5BoRsZnDR+7haSs/5Jjvr5tR1LaO/Hb5DLl9Jwo4DlJx+E+fYFWR6f85mehP4MI2PAt3Zcy6O\n", "da1C6Al0177JFzpB6bWmCo5Dmz2w5jdAnxRnZ0rcV9U+7ZlLQdXuscKncpKD0JrYONdmbdi4ivbJ\n", "mFw6WJ+R7QDj62LqGdD63rMv69V0KZ4dZcvTBc3KWpaNI/PJxR4Liww7ub/0Oa5J0dpyl3eVt0vx\n", "qaR9+SJIW77aTVruOWEsvdbicOyz8JzLXk3kuCcfSyD25UvOh4fTVVOBT7LbM/nmx0yomsw8rQGL\n", "FKySCs+BLcAFC9q62+jvfrHR6X4unnH71lW102Vll0BTGBNn+xQ/mpAfGBBoN3Tb0PEWLFdvcOPi\n", "9+KIbvxk6zcrVpAPchxAjU/FwsFVmb3RwCd3jzIUtWXeF68xVRjwRhE/fnwH/zVjCfr8FrdaeeCx\n", "efqyxIkzZ7IM9abVDeTDSBHpDpwqcCgo86DCg9hjLY/dL3AsqCekcPe8284n9GkwdeM0GRcaXJD3\n", "Kt2zr3OlzrvNTzZfY5CGLBEpqqIq7X6oxTzrgIPSIP/hbimiqxaqtd1V5W3WAFd/cAqjZnH1BfpJ\n", "KJ6D65EzNH55nVolQTQC6eFKTlRZHhdW5m6JUsR5a7EdR5Xr7wUy5gfe/DWZ+zOGEKIpajLAD8Pw\n", "l1DgfzUL/KfDXWTJcB7QjqPXgAqoQVk31OrIU6jK/BTw+OcUuogU5VDdHh1Rr49ngQMffEf0tEuM\n", "QQ1OngCeIKUsSiVsjyo8zYC7/Gid35FFhyKEqIFapXkNuA9PTGqA/5OXKSmM9vXlA9Q82ikgn7xO\n", "U6SIbIDqqx5rkIZvVUJFWdTKu/qAAnyOlBYRKZwcC7k96Jirq+5KfrEvsRVKIS/mNeF7XT1deYu9\n", "pQOSq11XdvX+PvP7iu647+xGN4c4EdflivsVa7Ix2QFnNPhiCohF08A4Xr+LNUiJEELYCYheSnHr\n", "OF4FPyH0ylx8S1zlVrEyZUis2+6V8/g3ZULDjbhmGjkJXHHKc1o5ZeUUbfnjH34zqIGxPlAs5jni\n", "8E40o98jXZ+GDg2VgWhUIX8XeCwieQsbxe3Mdn22b5dyYXXz3pCe+M30crLVrmdpaO9s5t7WcHN2\n", "XrLOKSJdlGurYaebD2GFKbJ6Bqyv1GvDq6sVRtppC+9UjbhVJv5lScc+ylejnfvnzdba2ZKPnbBf\n", "1PmY5dCCPY3ttA/r2Ps7JuJX+vGTEx1vmVpUKCgfEIB29EEYfHpMfPHqyd92+3JPpBC8QrVYo1EI\n", "AG5JhVZra/N0Qgcq7txJk14PiAY8TBo2DKzcsc2pRhd0VpeMcv315H92ZrGLr+8qCnclywrOxF+c\n", "rPcZ+sXQ4+HVn674/EjSwUzPZxw6aTRWrMge1MKvgyAcs7K42qQJObdv4wb0klI+KOKByqjZSs1R\n", "3WGr61G3WhxxewsplO64d34inz5FreRNBIaKSAoCYwLbl3xZcktsYKxTQvEEs2uO66OwqDBjtVvV\n", "SgYkBog7VC3+0EvL4/Hd71h11lhU69mEqmxHAwGouecbpUHG/bMACQdU42I8UAw1+LoBqfrZEcI7\n", "Dgb4Qk97NFUSKP7wEhHmB1QMkwijM3l3w4gyVudGQHESqmiQt1ENgqPAtdd95P/1gf/8gwL5Gynw\n", "olzUDsAZaZDZrx/q204LAiwF+m6o1nlt1FSnAtTrnoYflfkpIPqnCv3IU1F/8WnqnH9BDSTtvQrI\n", "bx9N5oib+DeIw6iT/1Dmx5EyQajM26SInnpAXSmlNVJEto4iqs4e9lQtoKAN4ACV9dAQ+HgccHH5\n", "ch7PmMFEVBCttfzErVLkKjoIzDZIw2YhhKuUMge1OnQpKizuPGCfUAgDzg4/UGvpoGti4VNu2K/A\n", "mvMcB087e+et6UPSr2qKadp13dy15amEU7YMh4zLTQqb9G1mbOauzFOKcZk1xFKRfCQpCBebN7mk\n", "T0H9iHQAerSiXMgqrGWCiItZxf/H3ntHV1Vtff+ftU8/6b2SRhoQQu8gHZFeFREVFQuK2HtJYr32\n", "riCKBRARRKQKSO8dAiEQAoT03nP62ev3x8ar3nuf9/G5z73v/Y3xOsdYIyPJyTkre+/1XXPN+Z3f\n", "OXR9ORmxi1g0Jeu6XhUzPzmk3LW3zXqgjJo6O9/c/PXNj+Z1ymv2mXw8cPMsGp3lvLG9jLfGfA3G\n", "67Erw1iHllRNRbATyBL3M4ZaHgmyBoVYfFsN65e7n8t+j0e/n4534SfCFvjz1Chvk0U/YdRKd9F1\n", "DoPeAA2+0G2ogvEa4XzjuycM3UadKKz7MTQxYHxjfRs+ukkLVuv3TxzQUHM0wrVg5MU0l1+jfGNd\n", "sNh3fZ7n9cxWJa0N+f4q6PAi6s7ihNpvPhqwMqUwZQYQnyWzHEKIV4B+PM5jWFl3fAFTMqtYaXkW\n", "vVvHGJlNv2J/7ho/k/35wYZpwfXB1ntqqo8+bpW975/MbdWf+iw/91MbqVB87uHggg5m66D7Otgu\n", "zr5NdkxP0VV/van23vh41oN0IkQEkLnjW+675VGGlpbyPXC/lLINIXqg8a77oZ3CFgiwp5DyeSml\n", "NyeTvNaAYdoxeXyAKlm+/TLLRi2hSMJIxauMCK8OtyZeTnQmFCVUJl1KCjJ4DLuAn6+Oc9mZSSrX\n", "Pgw+tfejedcfANOurpdFwGaZ9ZtkI4BWBfxLUvIYmre9CSm9COHrwDQtF2X+EhyZXyOU+QxymRl4\n", "UYf3aCfy2npzKCKC6v5AGxpYbwF28H+g9v4J4H//IcvRACgETZbyeSnlF/+TSfzfNpEj/NE8jH7A\n", "Mba+NpgL18G9mYrMYqUqcSqCr95LfOBUY1HQBCttdzgxdvejpcCNIa8NXxXEAMDA7wH9fJbMfgTN\n", "kwh2ezm6Io+yDw9jPV5BJ9VDRGYVBbedgFm5pAU5qOJX73wn8lfRnRyRMxq4XyIHNdJ44QQnXEe4\n", "0NeOF19sBYMYFLWf/fommnIzMshfsYKO7dsTo6rcb7Gw5pewSo7I6QBskchXc8iZhxZPXO4DK1s1\n", "7/41oAV4XGQTD+SMXT921KCjnT7pzeF0P/YFLMDou5Q2uwsO+MT4rpndMvuxH3Q/RJXpy3RMZiHR\n", "fCyzZL4IFYuIZZJpoC60yyLJMZfq9mqMmmIgDvhLKqmPvEqaOZpqeZB+zfX4hTTSqAYTfCWyS0V8\n", "xaytygLXFX2n410rUg70kLYPF+3ec4VpV5pY/vUqLj0+npyzJ5EBK3AJXxACPXP5tnwhXWNjiZbT\n", "sOPH7q/eHDV8ku1A4SM/thTU2gk88QRZO5bEnlxyzS2lQ9kdu39oruvW75qN9/0EKx8ROD4zq8aR\n", "LkWf5207sr2H0J33mEtWx3kuNSQb0bu9lT0Ou96+9ohl1WpJWxLuXbez/PGXqU44yu0vDMbyzAZd\n", "7RcD5xgrT0R9B7RlyaynhBDXo22UvchmMbBVZtN7YQ8S7hnPmS6VbEpsYMW6NJyouu9v++K267r6\n", "mebcd/yjD47k8cmRObywOB+zb8co3l5TdXLUt2rXmZcDL36+0Jk0RElev0E9vQpNmC0TyFTB+KE/\n", "jhyI0JmYW10tP0WIfmjA3QWtpH0RUtpCREhPidzoi69vRzre+JPcvBYtJPdE3DtcKGkm0eLU7blm\n", "1+DYzqe69/Vt8z2BdtrZBhz5KwFAK/r5iJr0m1n1LbKyi7j687uAdb8IWf26+ITiRRntQf+oHk8P\n", "HeoiYAFSFn4lZkd0Im9eOBXTzlCV+iZGcQS32p6EkzOJ2nknucYgGq8BEq6umS3A1t8lNP+7tf8n\n", "gP/rJ/GfMpEjfIChHL53HSkbIaioND6AHakhdLxQT0bfWLyRvuwJuci3tzwQElTk6Tj1CgndS4k1\n", "h1FVFUjj4UaCzpUTEyVRBqOJFO0CdqaMLcidsWZ5gKKXfdCEs3pfrMf55SmqVp3FcqGOdoEO8q87\n", "R9nDBwjsVkk3tJCA5p3DXqRsuxp3HAtMcWCaWo4vLWzfoqBkJpMcWUxx7UEO5l7mcuvYsXR/801i\n", "ampovOkmVpaUsA84+jiPO61Yt3jwLH6Jl06hxSHHAodM8G0RGCO1eOiJ6EdwVvghBu8cfMPQnUPn\n", "K3if7cqJ6m7sC91Mg3wBWmqxBNzNPfxk+ulKPvnpzMRBPEV4WMq7zEZmde3U+ySvHPhR3iRpbXVz\n", "FpU2tA1D54uvaSS9XDex33kNnrbBxLg70mtfZzoDcojUqbFVkRUirDKSxjGH9s5//lTS1EM1P5+u\n", "keMe3Ys4FUnA+udQXimk+vkx+DvaqNT1IWFTKa9MepgHgOybfhwyZfGJfT27z3Un5EWQB6SVTw8s\n", "ea/zHE+2+r5hnyXWVfJhkQ+ROm4d5+YL3S1cO25rRZUx3FjSwxUiulVwbd9WThQrFLhdzncPYexz\n", "HB77loboZrqbNRW/0Ikz2HOqD8EFdxpmvh78xLNel/5xoHs22QFX7+MosjEBK44uZFhcI8fjH0Zn\n", "N1Ae00zotLOceq8vk7Kzsx8D2T5L5hhsZZgb3mP0PYfRmawK8zr0JafptCy94HS17PY1vku0ZwZn\n", "CtCaP+QCuavg4j3BvB4ewdjrr+f67Bzq0PIeyWjyxl8gpVMIYQom+B0btrv60OdYX/qO/It8zUsL\n", "izlGF+5maWklacHNxgEG1IQl3GT7CdvSlawsRkvKvyOlXHN1/fRAY6bs4uXWO3D7/B0wXk16dg6l\n", "pl9vDk9P41y3NnyMx+nReIrMwxJlSUfyrk+m8JooCgM/xWD/AKfXjmy9HnngTTy+/pqjdYZfvezD\n", "/DckgP9yzf8J4P/6Sfyn7ZcqMrKVDmgl9NcBA9r5Ux3rj7nWRlh5C4RZudjgYEP6Wd/C2zb07q6r\n", "TxpWQ1h8LKUykUvng2jYfYquTRdpH62iGwRY0QB9l6L37nyq5RWH3uztDfRuctB3exHdvj+LbeMF\n", "TEhaOzVzctbPVM4+TpLJSze09mrbro7DRlzO9gmfco3rRG50eUyCF3mxmWbMmNOrqNId4lB1sTV/\n", "/etvEPLQQ5xwueiCBpqRQQSdvZ3bk+uo27uEJU948ZaigfiNwFAf2PEdNA3Rc12n+1CAty+/K1/J\n", "ETndgO+Mvo7IXq1HXh/Btu55MHg+QUczuXX4JjaVned8AGks4kYiUJnIBYMfp95gkenBKb2u8GG3\n", "DILkAQRuXGixzpv88Z/kxGmOwal+Ba4xoAyCtA1SluaIHN+LyYVj/Fv8lnoUryFBsaqy2UKbQxys\n", "j8sLv5x0Ifm5wZdkWGcHsdchDTqWtfVgRcBJPg18ErXJzBO+Lb4PXnjLp7uCHBuRXT0VqLA/ZLj5\n", "lcAnEp+QL1Vbw6no7G/tcni/A/Mgla/O30qliKS2/Wnyw5zUty/nnkTfvZPvOttzW0MXBa5TAAAg\n", "AElEQVSb7d7VBOW9gRrSxpNodLv3zobyWqd5nPqic/jmwYHWe78ePvthYFQ22bej8ZSflVJ+I3LE\n", "Z0DFkMtMPBRLht3AMeARTw7xOsm6HLJ1QlHP37fwwzPBnvoBnEI/byXk1qN+I0OV5bFGnp5eQccP\n", "05yz3b0+epglz/CbGgMhRKYQrLr+eoLff4rXw7syDohGU3xcwlU5Y0UofcyYVycQHfogMR/dye5z\n", "IoxhhDGRQgx4yEPlyGZ6dNqCucN26kxnKPR48JSgAedmYBfZONC89SeB+2WWXCGElAE08RDvTUTz\n", "9rsAmdGUtevPvrZkLvidJ/38QfqdriBS347SQRmcCexErvg0XbWvssna48Xu6K5Qlw3WkdCq/BrH\n", "3o6Ujf+6tf4ngP9LJ/Gftn90U6/qMgwFrtMrXDciEb+Bcbja3IRuvUTDqUp83CpVOo/uaOdzSe4B\n", "RzM6hZWkdYjx1jozyTWnce6iF505ly4Xj9KzuQ3fboAvsJurIZeZG5YWpIwp7ORV6fPzJUZvL6Lf\n", "9suEnq9Fdg7m8pBS8m9fQUPiBTopkLqJ0X7brJ3R93tjz0N7dQPzjO2r822DCmq9sWkSHCqq1YlT\n", "2cOe+iMcifDg2Y1Gl9wHhIQQMmgmM+df4YpuHeuERJ5AS5CeRYuHDwuEXk+GUf3mbJI/XM+SG/J5\n", "4IPk+70zNy4rPfh2P9+jC3pdm0X2FYAHmG9UUT/9kA91aMnbYyRyN/63nKD7CohzuoEzCLZRQiI/\n", "MIlmvHRmBieYilYU8nEEfNsPTBYwfQNjkXKvyBE+j73+2Ohm/+bFX9y30Of8LKvOcbJd1eEP+uyq\n", "3K8bYnfFhj909h2OvJJMxssXvB/FPzzxGfW1md9luvrfMoUnsTHiyOudhwdgP5OaXfgo0F0+x4Mf\n", "G+7q1tPylS7VrtPNk50Z8sBx7hjt5rF7Z3r9yuKb9Rbvg6uGbP44yRbs89HrefaD6yK331xdcN2i\n", "n71Kr3Pu+jhJqQFuRspckSN6At/u9+sbavRzla6/a4IbeCKbbAkMllI+e/VZug/JY4/vw/xDGuf3\n", "f8HsUBsZhNOfMEbRQnpbldVqTbPhFnjn2nH/VIHr8HrWPvHe0FnLA3fR6WSntqnHpz6bJbPe/fW5\n", "FQKN2fFyTg4nnn+eJuB6BKOAbTlkk0W2yIceP6K8HIoYPAwfbyLNqoBCUqnkHvo6jSzsMJ/tl1WG\n", "ANfq0LVPJllnwbLiJCefl/LXpKPIEeFCFUuMLmPU9JXTlyVfTI4ButgxX+NBjx+tP5lwnBnJZr8A\n", "moeXEx2SR0ZFNeER4VTZ+3KwvgP5kQpu+zOpauUn19DVbsQ0eQOu56+wKxPWvN2Pk0+OoN71wt8U\n", "8vwL7E8A/zdM4j9t/91NvZr0TAeuC7MyfmpH+t3VHYdHxfDtGU6uyKO8rIU0JEk+bT7FSZcTRPq5\n", "tIQuJT62Ic0XDRmc8Qug2VFHcMFxehQcp7vHgaU3EMDvY+h5WTLbZ0MBIzdfZMapSvof2Uq0cgAx\n", "bCo1A6pGhHXYY2RC6cYLXpWwS0G4PAoh7RqEJ1+k7zzgGVnXQNBwEH4SKSupPLCSlXX11A9F63q/\n", "MYKIXXdz96MePKVv8dYXTpy/MF16AoFoR1VHaGcyGEb40YU4Sxx83v0MH3mDfI8cW9TDvPuFwY9J\n", "VXn3twncq7K5zwO9YUhYsCggPrb8dP4t1DoM9ADMqKjsx8R+BOk0UIATf5ZhZhGXWGOB+HVgGwbL\n", "Ap5ioF3Rb3rm5Wfu/vrhj4rad63tmT2YygFxXKGawKyMG1K63V0ghzSd0lleEzzRZ0ZL7OkoeQ8f\n", "+X3ZcfDls6XBu0zNl8Y9SKll6aDSJzOqualPLT2MDX7Gn0ND1BH1NcrL45P5ct0pqk/Dpx8OqK/6\n", "aIRDb/KYv77z86D+m0eImEbzlddTPwvsm2QJWLNE511K65WRkN7xqkcrcsT7sSWxAXtm6W6pOBGV\n", "veXh0bOAtCyZ9UtxjC+QUelDz2A7HY0qnRFk4oOkG9AbKylUkoadnqSoRlj8Ld6nH0VdvZrVjz5K\n", "Yr7Dtw/9fLn/sztuecn90pLfXG8/tDBOxpIlfDZrFg9wiF70pV2pHzd6FDHJ7FJSQ+xe92VQzuOP\n", "L+2P9aDwSSctR0qO8VBKCo/OmMHZjRvJuHrft3Sn+6WxjH1Nh+5RtHqAaK561Lmdc0dtvnbzwK4n\n", "uzJ0x9A8vVefi1aAc+od5m/twDke5a19Lfj1LiNG0eEtCaRhz3C2K4lc6qrHG9YK+c9Ek/jFYOJs\n", "Ecg+h8l95whP+ASyPeM++qLVLIwEnpFZ8pN/flX/Y/sHwnVC/rtB8J+0PwH8D9r/dFf+xTvvG8uN\n", "Uzow5sYMfL0qjQdK2fjyHn46U02CUMUARVUGGl1GffyVeH1CRXDLiGK7/cbSy4HRnkYfoK2O4DOH\n", "6V2QR4a1DZ+uIIL41UPfBZzOviPbeGsk+zZ8S9emVhTf4YLpN0jv2GBaRxzkkvI9iq6IDI8dnXDh\n", "VuzUXqTD2jVMsrgwTQACJdLeTPO2ZSw7U031NQYMnW/lVocRY9kqVt1YJavOaddBhPIrmPdgLKP8\n", "/LF8sxzZGZTP4zl777rQlIpjMc71d07Yo3p0t2XJrOrfX0thghWOAF6kmTNMA9d8WLdsINs/PcY+\n", "NZZpmBmPnTCqiMIFzMBNOJUsIERnR78/iBMdG4m/eQoVuryp0bFlMUuOv/X+I9F+KGUtfLrjVlYf\n", "ntJ7ybryuLBHP1ul6ryIm88hNpwTpxet9K+8cWHL8NWf9S0t/rpDHERgVZql6lNb4zU1nzDXJgzp\n", "wZaS7pbC5PM3JfLUmss83Ad1xBs8f2BT30lbHx/V8/WH35QPfD/L813lMqVuXptu7eIgHqttaOz7\n", "IJPeeYdokMt7LxLvHa9g9n2f3FP/5sXP2n0/Ycpedafu0rlBy/3qrHT6aCNGBDEEUkIHWhhOAIMI\n", "pyu+hKECJagcYwP++DO4KpSS9u/g07YYPZLRwKd6nb5W3itH6TeuxFE4WfzmGnfRwcoBcHJTEoWm\n", "JB5x78VmdBAACJsBWeqrdx/Q6d2PNXvdI11TRSCB8xewwIYWxx6VlIRep2PHhQusAbZ9HnObzdLN\n", "MVdv8bycOPxSaWh6bXBw+/rgRb3vbGistp78fur3foXJhSmpBamPT181/essmeXKETkWkC+6qJ5Y\n", "SnNyBoJ4XEdMOL4ZzjbFl7apaMJV5UUQ+kIQxiVDsarJSEspX7eFcy+B6NEKceahdVf6EPj6v9P1\n", "/p/a1dNKO1hzBU4C2WvQhLTul1Ku+1d+1r/K/gTwP2j/m2OVyBHCx0CHOd2ZNzyRSYPiicqtom73\n", "FTZ8eZJ3LjbQonfrBwQ1BE316D39W31bQ4Prg+ypVab6gRd9gicXV5u6NDZ59aiueoKOHqNXyVk6\n", "+jTjnwEiBA3Qd3nwrHs/IKNQGJ7H5S1whIxCNnXCMjgZ79hkPOMNGKMOIlybwLgDKdwgnFw+Izvu\n", "X8vEbm5MHdFCFlV27N98xVd5YxjznAdP1HKWX3Hj3ogWbtn1i4aLyBFGPBygmOPTviP0wN1MfP0n\n", "IQZ/FEppi86z7sabXHmOiy8m+if6WeyWnUa38WiWzGr45XqCuEfA6xZQ4sBQCoY3YWE2TK6EsZiJ\n", "wssyncA/8UEuFAm+97zNfMx4bhhG7ZvbSVoTGe851zhGf+2eT+rv2UCIAs7SFjbO//LGJ8NL4vJv\n", "r35D8VupcqojjQO346fzoHOEgKMBx8I3uDLFHhR9hOGH/Wi1H8F0rVPpqOhVvfIcL4uSkDDWZHjY\n", "cKJFbql11ykG+dFjwQ+0e/+eT27PfvtBtXD06/i4FMW0aUTxQr8t3zQ3M5QGNm/6hB7bDzGme5HS\n", "1iNU79t+gRuHvwXv3dQMTncEPx6i99441iVJwYYBiRY6O41W6LUMuIggBK0sPOTN5/jy2UZedn6E\n", "RGWmlHKLEKJj8MDgn+yJhnaOJeWo6NJUGHwO5vpCl9irz59Hj3IpEHkmjNoTkWw/2o7FGfqgO5Zv\n", "bLje3qbbFt2S5ltAgcGDJwXYC2zuH56c+/wt8emB7VqG+EW3ZIZ4a+PC3qu1tizxpaEkuM7RaD7p\n", "aDTvVz3KhkEVp2psqvoNUEcec1lJOBrrpTOQacUwUIdXH0CCEsAznOGOjWjqnZu8cGAj3PCYP37n\n", "ryGNTFTaWEgQz6GF7O5Fa4G2Dw24t/21tP9/YVd1hdLQALrrb4YLRkdqP371hsGDKdi8GX+Tie5A\n", "Icj1//W7/t+3PwH8D9q/Mi724m4RkRrMUxnhTI/yI/KHfGxrC9i6oYCvH3r90WukkOeP9Drib7Pa\n", "Jrf4tfQsiynVqYpKUmmE7FZiUYaVtspR5Q3ucJddVBF+Po/Ol8+Rjg3riqd4ddnVGQ8AnkLQM7wr\n", "J/xvILDYRS+LAd24FMTNmcjhLQhlO4j1qOIQimqm+Yy9c8ke56CkOkKNEkUHFEpkiwuX7iM+WttM\n", "8zC0hflL7HwT2ajAIWCyouJnUFmxbplB6feazvdyOHLF+Dtlvc7jcPm4jFGVURKoOu/NbFdOFCPZ\n", "NvIt3rq5hRapwPpouLsZBi4HYYX6ITCnP+wujmGHw0HPF15Ctu+Oc/oITPPnU37PCF7xuUVMuFjZ\n", "YUBu9ll98GQM3+cjl55GAOKR9+bS65H1Suq1JbKDRCxopG5fA6buTVgfCkSkfMSiR3b5TBtEWmBX\n", "Tm5ph3qiZ8j4hzyJHv3qs1v0Ordkcc+JPHhgA/PF/Tar9Dt+JaEw4udRm5Nnr+/HpzevFW99MLTx\n", "OVuRLc92ea/FRSc1io4nwhBqRzw/KHr98Ac8cmBfA6eXZ3LC1VyT1XbJ/9J8mW+2qkloipUrgZ/g\n", "dyXgQ4Elr8DhnEh2uqbRnQWMxsOTUpM8SNrrb5027i7bX5YuiWRUVR0G3B4v6EosqKfaYd+QimwZ\n", "SFWfa2h6dgfXtT0tawYNEoOrqvihrJQgl1M4PaosiPbxPz19UKScOtoaG5FkSwlMbAgPiqvXt1T5\n", "tTWXB5R4zurOxT1SMmy7bphyqLXf5CyZ9fNVPZ5EenMvZu7mHIVUY0Gjgp5H24xy00lvHcHgbiFE\n", "TCgiKWIvAygk5aYv4afbYDwWHuQa4uiJGckXGHkB7YQ3D42ZtRhYILO06sh/xoQWpurCryDdDa0Y\n", "rwTN1T4BnJwyhfPff0/0Aw+8u7dHj2PccsuSfCAeLXR0FFgFcsc/O49/h/0J4H/Q/vcALoLRNEf+\n", "Ar/2AnR6REJxEw+FWLmpyYl50RFh2rItrDlob6Y1rjhuT2xp7KdAXVVE1U3V4dWTiuOKlStJBbYm\n", "/7bI6Dqr7Fzsr+tWapIjSlvpW1fPBdKUI/SiGycfryN45XB2+A+A7/KgfaJgxYk5/EwMEwwKfTuG\n", "UTcknvQbO6PvGgKuvWDZBcoOkAcVb5Ea79zLIH0RSaDx2Z3Aq7vZvXQ723uhMXFGA0305hwj6Ucx\n", "3WhPNySfv/9F95a5T56MU4dJ1wvDb2yqqfKN+H7A9zVKquITVdDXLyp/IL1rWw8oqpLRTLPFi/dw\n", "MMEHCymM+5E11w5Gp/8S+6UQXIEqfOkPg+0K6b6hNMV2J0Qtx+/1V3FdO4Iy43bi5RwU70iUiizU\n", "d84jT1ZS4PP5yJTxZdgnndrqLw8hVz8P6UvxvrIH/Y9DUVePw/F+Adb1zkDvx3L+xM9Z3CU9OP0l\n", "0vFuPvOzcrYXyn0lgsACaduG9bmfgrrFfxpnnJebWi6a/NrEjVW4PZumG2488o43swvK5SLUGzbT\n", "5mgzNha2eeIm/DiRT1fvcLhtetPKM1zaTm1c+2BOvz6Sl7c+MWLnyNe21v/+MRF64HkvzOllZPfJ\n", "vlwbl47SvBQm27n0ucTI1YKxp4dhuOiPnLWjk9icbGdnt0vqOSM13iAWYGC94xnauR2826MHjxYU\n", "0N9k4maPh5CMDorz2szophlzWqoTk+hkDbHJpuP+DfInpda8y9FizbOZdE3eRKGJP5UXYT61hpSY\n", "d2leeIUrPmgbeAZWtJrIZlZQx89odMWCq/TImWhNGULRBK2+zibrvCb3E/Mieu5iCI30JRIdqxG8\n", "gxbXvhdoQvO2v5VZv9nU/sgq05QSfwvUXdH0WPK4CtTAyccf58Jrr5HCb8OBkASc+eSTe3odPdqT\n", "zz+f0037u78p5f//kf0J4H/Q/kUA/kvfvyeAZb/XJxEC6O/wMEcRTDtbRdMH+3QBa0+Y9O3y0pSo\n", "iqi9SZeS3g+tC60GSrKzs2uArpEtDA9yML7WIrq4FGFJLwugQ6k/w8ta7GOutFg87kB3FREVJ9E3\n", "f0dx+500GCNRVq845i3t3p1JwIWaNirWnKOD00PXntEoncLR7zgN1UtAORriKa6/rlVcjDfjVdyo\n", "ii8IFc3L+syOfcVrvBYJXMc45hJIJMvYzDDKRH8x9d7PZvPayyvOW2+1RX095sZlhZvbz9sutp/e\n", "3/7UQLr6Qocqu+JRNrdf3/68z2mfuddy7TYLln4qalgzzTqAQPztVmzOMCqsa5RaXbG+sOaU67IP\n", "CoI42tQGNcR3Is+13M4uvmGP3Iju0DPI+Juosx1O8Nv82EjTnN2LOFSE7NQP71MzOXq4EymH5hKi\n", "S4FZkTgWHNGZn0oYJysqhaekXYkSb4x3LL+01uepu1Tc8YJBdV7vBx+i7I5GXpuR6dXh1rsN5aLD\n", "lj75finOoBd27wq6ZWqk7ozRv+piXFmUopOeRy3xYu70GndIeq112nuBnh2OpoqgcwlBM76dsdDk\n", "MvVHCzMkZMms2qvJzKArAXy3PBG/r8DaJYbYt7bjvd2OqR3wKdSrgjP7Yyl6aaCI2JoiR+OliTP9\n", "Aig8A9Utc6hhMZCRnMzM2Fge2b8fmZBAw4gRhEyfjr53T1rKdyeZoxsrVhlWuh3KbjVEV692ACK8\n", "cPgCXFwFTQvBXAapIYjhdoTBgyHXiXN/ly7UGDvjOBLNbKzsR6MItuSIHAOa9MNsNGbWerTwz44s\n", "meXVGoXPPIiyEYY27qQ/HdCxH01H5zq01oAb0ID70D9qNvz79Sh0aPz13wJ1VzRH469ADZxYu5Yr\n", "48eTwa9A3RNtEzyL5lkf469SFNL1Jwvl3zCJ/7T93U3VFpzzF/7s/+Cd+qCVA9uB+0Ge/AevsQCT\n", "pORWr6Tvocu6S2/+ZAndUO6IiS6P8YRXhx+JKYt5u+uprmv+ymYA0u4X7Qw/v1gcHrsWW8IR27ub\n", "sKeVBZxswwcj7pivuPVkI82DdnEq5jgn6RQQWX3zddFHR13fUBvVo9zoE90S1uaRXcx6Qm1u3GYd\n", "HoOCqaQYNh/y5dTKHkrYhgEAVCddafMrjTT7tPmqQnIBxBcNgQ1r37v/va8oooglOMlkkn6U3m/2\n", "17Pr3ju7LMcaYn/28Ae9H9k0f8zzJ8hI24QHl++M9XRgBL2xcwILF6jkHsZlv5id/zM/T2mi6bsu\n", "dDmWTLIOZLpXcema1FZjm7VZbrZtleVUKj3o4c4jT5nGtAMTZrQlDem3Xfq90By6K9ykf7Cv8cD0\n", "r+/vNuyzt9XESW1+VQupCH6TqN2rYNZAaF6F1/cVKBqHUpfbh09cuJZbjxiNx1RnS5kwP/gMBF82\n", "8ti3ThnuwdXOQEfDDfF5A0+1N/cT3uN5JSndnj6znM8WJKt/qShTaqNrpdlp/v65EY5r+ta2D+86\n", "7pJq0EvdjYOvq+56rHtQU2BTdWhdyOI0zl8cy3pTXUDrgIMxDK31IUYCydXQowrFqyA9gv03tWEt\n", "MKA338mKK+Fcg6ZRc8xcb85QS1Qf1w+udYrSYXp8/FBCQj4+XFhIZ19fdOPGYRg2jOboaMp2/0h6\n", "txZqhm9kdVVxzIxIKi0q3vLLcPlnaP4OzPsg3qt5oJfRPOnTbxM4pRc+GQeZOuBR+f4xYA7w+qzV\n", "fLvsNHtlllyWI3K6ooH2jWhFZl+i9Z5sFkIY0UrlH0AQRodbEhm2H0ILd6JJGI/WCZK7R7GpWxSv\n", "LRyn9XP9+7UnLGgyzL8F6ky0qu6TaHreVYB94kTWrFlDEr/3rFOuvuYXoD4GnIF/3OX+TwD/N0zi\n", "P21/e1NVIe60GVhwNpyaXL+g+gu6hJJqe/rGdkXJe3Sq7nyWzPq7jt2/eTcdmpDPS2jxz+fg7xu2\n", "Xn1tDJok7WyvimnnaXPey98GtwtdOyC409lOAMuvjtwsmSX/pit9e2DsuRCmpdfRDU3hbYMd8/ZD\n", "hM9Zju2uZTTpIompHsoIRyyx0cBlnY8j333tSb+WPvk9UrrWOKf2t9WFmYhHhx8Sdv+lvzz07gDR\n", "8eFd6rHwIuXyqVCsO7rKkMJ42RRa2/jpLV+Zg+qCZ1YurFzHLTxtjjQ/fdM3N63/rOTzZcCi5jK/\n", "O26OXbI2jhJCqeuRTfZF4HpMvISRMHrjoQdFGPiQ90mkhbuAZ7LJfh9IySV3jkPY57UPiZE/1m2x\n", "VMkqkkWcPVCGKYO7BBaNmtxKxvgzYeWjovzj6q/oF8m7sFn0Tc80vB6Q8aHgm5d8PTtTW3UJfzGj\n", "95F53WY5km3dMEbO8VF0vV2ysMQt3h8BC1WFB+9UaFev8lie+rPpAMWhfkq530zl2bE/ziJ5/BE5\n", "YpxdmP3c55O/r9DrLLr23Y93X9b9WHfn8T6Hb3/p3WOIWn9HTEuQ4eSElBfuvH/705u+8ZS79bSr\n", "9cFjcaPrUIM+zAYVfni3xtLycxwB+W2sOjeYb1jDM5TThTuowcRGRbBp6WQKyir0Y57d7Xld/zFe\n", "swIuF7rMzCD69GnYM3wwW8aE0Is9JO15h9CYZiKjPMhCHVUnnVbHNkwRG2lw14ANyCWAcnqSThx6\n", "vmDQL8npPJHxbQSVUzczeuBNclkBmvxwNyDo/NrUid9OnNkTDbiD0GLyX2fJrEJtrYgoIAvNqz7h\n", "M4ED9GGqvqVdhzhjEKWWXHtyCN5H+qGb3IFWo47zwH0gc6+2EfwtUHdD21guocWsG9CaolgUhTir\n", "sKTGE2dtiT7fmpaObuFCzImJXEJLxv4C2Kd/C9ZXu9dHooVW2v1mNMgs+dL/BMBzRI4V8GbJrH+4\n", "Gfy77U8A/4P2d9zQHCGm5tF38BWmJ9WYx3Wod8cHObzG3fGKPBYUQL4l0tbgjioKrQs7HVcct9/H\n", "5pOLJnpV/Ss3WgQDL6KJYj0LLIb/KsMuBJpHcSswQ0rOlOxv9/N3U28IbqvynYIm1rP8Pe5/sYHg\n", "384zBMgzetj15Rp23XiG7mjVlc3Az7UQ8hmM/wuoTsShVDp/PYUpbiBDIjNcRlcfRVXCGwMbHSGx\n", "LSen3H+8MXXYhe5nN3YM2/bMSKXfg/s88SOLvIEdazCaPabjmxJYvimYJQnHuLebtPn5cn7vJaV+\n", "d555yOgNY+5bmbfqLLBq5syl4aeXd2Ea39egKQW+l032K2hqjQkkUUEP4khFcArYQiMePkYlR2pq\n", "jc8Do/wmGu7OdAa/fSHfPaKltE3p4+0jh1r68kjRh+qa2yblRlvzEzxrDf75hgRl5vYfHJdwm2cu\n", "tsoji11iyUJF9Nelth2+tb91BovFgwyuDwvuZNzRbpPvQ3mFjO/oK5++tlW0S1F47DrZvPOs9H34\n", "IalcuAE2mHsT36eUxgvhLW8vSKz0qQhNCasOU09nns7fOWxr2st9FP1N7VR368Fg6W1y6fOW1nri\n", "GjG2b4QrAbRV+pFr8HA0tY5RD4xGv6IDMRQjiOIMVtLYT7HYQ9RLX/Pxk1OxKOJXlkT0YyK0co/U\n", "J1RzZHQyn17Yun5RX47yCNl7LDp6tfpgOmXCvdWBssWOLteHaqXZuG2wHDy+iqpHcsn9gWzC0cro\n", "hwNvAx/JLE33ere45rPuHJ99hF7DhsqdKrDM7dAdFDD6+5lTT5/7oWMG8KMq1K9eferVCrfePUTY\n", "mRCwA48zjz52O2FWK85+N9Bk70/ApQaMYRbsF+v11gw6M2/SiadvzmR7eTkXYmIYcvX/6okWc/dD\n", "86Zb0RhR/miR9pqAAKpTE4zu3iFJwXEyIVxfHufvKA0hume5/frvv2u1hth9VEl+cRMX3z3ImvcO\n", "Yef3AP3LiEKreSgFagEjWkL+jMySG/8RgOeIHH+0Oo+OfzOigLFZMmv7/xFA/k32J4D/QftDu7IQ\n", "0UUBjHcrTAq1iX5SYNnVTvFuSlVNh8N8XS5brBJZGekNrg8uiqiKOBVaG3pckUr+xC9+ULrceupJ\n", "IdAD8+C/brh69YNMaCB8KzBYStYe/6z7kfV3TUhrxee+RgKJpewhYEWWzKq4KiY0H620+Ud/By82\n", "/YXQq+8xDkizQe1XEPMc2Bshz6udDjZLKeX8kPm+x7sfv8uj98wLrQ31T7mQUhYXIMMjM6tCi/fG\n", "6/s/tEcWLk9111cHuxIGFX1tGXBet8hVcUuR0WZZOErI+ESH8DNLLjXA0dM0XzhD43Nz9XElZVG4\n", "C3WzVo6+dR5SNLhwzX6FV15BCxM4gOsJZCZpPEQaCpuwEsIJpnM7L3IW+AEokVLOEznCEriXF9uO\n", "8oBiQ//xi0bP0JDQwrxt3UMLtiQ1Oup8k+/v8zb6FZDxsrHt2kuq8TFzq6FtAa0r2z3vSI98R++q\n", "bvUpVp9tOqrfE/K5Z6eo7NpRftCrUJTmDqXfoR7E+Z53PGhZY5a3mMn6/g5sNb4EdymXKSMu0dTh\n", "gni7ssJbX4WYZ0e5KUsw5RVL48aJrsBTn8q2VRVeq6z0v7z3TJJ+JOPHj496ceA7/Xjruwz0Xi/4\n", "SbzXd2PPPf1peX4e2zf9wHOzZ3PDF19wD7/Ec9s4OXaOfsz+MPWzrz5WLkzwehxA+z0M9DlAR04p\n", "n9bqhhMS3R3RrHJgoZ0UNZDn5ItyQY7IWQpUZGdnf8FV4NYrvHN+HqeSgnCC3Abwg5j80bVsvueK\n", "OW5yetv57uVHY+Yd+qB37qg3twzZ8ujIvB8vutfnj90SVuZ0X1PjJTGiBsV/L/faMhUAACAASURB\n", "VKL+MsLpgik61MEhqLePQvVEYcSFxIuXEtawMXcazjpg6Bw0rzoJLXFpQVPxvIKZUhGN3pxMu+Ed\n", "Of3IBMUd1BbXveFYfNzFLUmeovxAo+h2xW3qf0Fnb1/eXORTX3qmTtpsbqKcHqKr2jCY9WDS0Vht\n", "4zyaY+NA89oVxaNYrTZrXKtfqxnBWTQ10W+Ah2WWdOWInODF3FYXSg0TWP8uvwJ1MJoDlo8WO/9l\n", "XPpr1/v/gP0J4H/Q/qm4mCaFea8KXbwK3R161MNRSu2PqTrjmg5qRKWvog+tDbXFlMXoYyqiLGOH\n", "VDtueOKUpfho2OWfnr7m47ZTKTvR5Gj/rqvObz4kHC3jnwZyrk6oMpHL3MzSr9Damh334v3WjXvV\n", "X7L/AvAIWgeTb4BXZJasuNrM4TrgejcMXwHK82ArhkteTRt8tZTSe7XadCQaAESG1oS+d8+CeywG\n", "qTwz/dPvqkOTaqL3fDTYp2BTqhrRrnT33Mnf+YSdD5ddf+iaftC6zb/7+CDH/u3l5tE3UDBjVkzq\n", "+B5l6HWgSqis0ztLzgYrRot7x+ofG8IOHaJdZSXLz5zhASGwApfoyXwKeZsEApjAOZr4lve5G8lL\n", "vzQiEGHCcOc0qr74jKDHnoLq47gfBNf6DU/UNaXuPPnyd4cmVD/gS98Mp/xxRaToUFzC6LHXlIzY\n", "l7H8VvfHj3+cHJl7ubox88EmB/ae/VxfpZ4w6i8nk3hkZK30mEO/zVhOWbcG9k0PY8uH3XA3r3Sv\n", "6oTuRAxK5xAazEb8v5mm6Ja+0NvetLR34YslH3d+ot8o7zcDjyp3LJpz5WLgxejj1+3wlqZWWwbH\n", "CMdQX+kd2wVnxxRMQnB09WrOTp/O9arKJKnp3PRC29D6eQX9ut5N0Ki9KE+c4dlwTab1pKDJGRyc\n", "xblz70qLBft9P/LR14XMAR6RWfKLHJEzyqPzLH7z0Tf3OyyOId0iWbRzNm5/E7OkxFZYyHvpqcqB\n", "+xnwYjaHJn0SGLi5qWPqAJHX2cebViEf+3yd/osvpDx3VhUptZBSAckNkGzTyNx68IwVlPiEcPn9\n", "cSRVxBArS5Aco5YrVNOKFYiDWBMk0q3bnv0uF6fyzrKfdBwMJSM+hTEtTjIFGHrpA4RvdbBsrrYq\n", "FXYvLWH1tAY10ahzqghURaHVq9JqMaD3NxGgV7DY3dDoQPVKPFJSKTXPuhaoQVIbUxbjH10e3b3F\n", "r6XjpYRLqtFtvJiZm7l+8O7BFSaXKQWt4XhHwFpKjF8NYXTj5ONcBeo88q6sZGUEWiy+E1oSdP5/\n", "ukLzTwD/g/ZPJzaEeBaYjPaAlKLF8MxAoluhqiCEs6s60vR5V8WnwqAM8A3whL04QM+M7qry1edx\n", "6omFfaj1aXQUpBc4Y4tjczPzM9eE1YcdA85lyaya/9M8tSo4xhzj2MOb2NTfhMkukRV2vf2KjJXh\n", "RNEeFwe4wHc0cwmo6gwN+2CsFR5eDX7zoaUSVDRJ2aVSSheAyBHXoIV90voc7r1q/M4Rd034bK2t\n", "89Qz5S07fdj/Tf+MvT+n6N+ftViaf/BxykJesqmOp0Lahfi0TGwh7cuHqTZN5nx1xvE2F34mPTGF\n", "VYrz9Ilg3z5+loLmgJK46Gj8jh/n1dGj5dNBIug1C5bRFVQMBNYRiJd5VFPHOBZjJI1VTGG21r1F\n", "fLR4Ma7PP2f+qTxc+ukYJh8epfYo93hvf2q72/w6fhfcyEGzEEeeEd5xyxWlw6eTLmeePR0zU1SY\n", "LuuCafZE0KB0VHeNX6EElcXy8BmHN9pdLqYPCfLW9G803OftxRuFTZ7c1PP6iPIIT4/jPXQd89PK\n", "b13xY0z1ZV+586Hx7sQ+l3STF6/xRH3lvuixOmMGtcM7NIagIUmIngm4TxwV+ooLfqf7Tm5+cuIS\n", "SpO20nnzj7zxpOTU41oRSwc0PvUBFfYnPcCQcosyN6BNdQ2pxLpqJTpgzjXXBH28Zk0LpVuT62/d\n", "4N1xIu7CcBRU9vGB7oguvl1ru5vbOjW6rxvVWHTPVAI6dSJs7VqaP/kE5eBB/EwGHP2tBt3rzdHm\n", "80H+UjG2iABjJe0cDjo0Q5sO8s2oYiRNodOwRQ0jKGc2Kz9Yg2iDVHyIZRBRZKLjLHAClVpUnNQR\n", "zBoGcpx0fEJqx74dnbmDcqfNWWdHoDFGhFCRCCFAovPqEYBUvHgViV7gRFDvVikLMNHc0c/gl+AM\n", "iPevCQn1FESK+OTm1ugZJ95/6Cc+a3FR/dtOVzkiJ96j8zxYGlN6W3V4tdngNujiSuLqghqCzIpU\n", "vPzekz6L5l2XZXOvqlG/h92PBta/gLaK9ou8q18XyX9S8fBfZf9PAniOyBF/tK/lL/a/zkwLYUJ7\n", "CLr/ZnRB09n2oB3Rit0KW9emkb/1IcLuHcedBoWgu9ei7C0SOp1Hp3iNXhHQEKCmFaTJLie6OINq\n", "gy7q0R83YDgN5L/H/A2NBKBK5XfzHCPGRIQQcpNATHfj7lxJ5ZkCa0FxeVx5OjpSqaScemxIQtF0\n", "25t9oCUdgvSgywW7XVtwP6GFLkoBHXegu3Usr7rzo9OTX77FMOqtzQsH3HNiEJKAvLXGM3OeSZp4\n", "euQVJf4HRWamtRU/OC3l+bu/sSy62LHYeMtXs7AIV/nDB79riwhsKtcFyD1unW5u7tIu7l3vdq17\n", "7OyXvlKoAZPllL5ppG16gzdCPXj6ojElvgdcTONu8thOCWncQx2+LN1+K5VDE+hXX0/uU08x/6uv\n", "kK++0l4tfG2k1fTJAvFmMxb1DrhhopG777dw6YcM9dR3nZWw6mDPTXyuF8IrH1P14ua+kd6N3XN1\n", "sblGRue2cz7VI8zgP+GMYkXHtosKAS1+TC/t0nr6iNtd1atKTsq4EHDd3BbdyX5jfjK0BA3LeDfP\n", "kzrnROHBMjr2i0F3oQZRdBLPN0dQdlzB09Wmb+lZIwN7VXrFwGKkIvGWKxzJbGMNcAA41uMuPP5O\n", "HjkfxIPVvkRO2gnJB9jxtpcir8IkPz/8PR50djtExkd5bePsOsqhcZcmzJcZqZfz5gr1hllub2sd\n", "9qp9tBoOYwhrJtivAq8nT4+xSjXZdIKCEJWiIMEFVXUWeyHrXaj2o0bvjzspiYSDBxEbNuBdtw4u\n", "XkTiQzNjMZGGD07c1HIZI15CiBI6fA0qQki8Hh16r0D55VlUJNLHY5BBdh/8G4OVgMYAUny8MkPX\n", "LNJMtS1v9GsduvsKRTsm+Nh8D6XPaioOvKHxcmDv0iPRlppGnTD3LZQVEZdr9zZX5Z21NJ73JHka\n", "rDZrst6jTwCiVUUNu+OzOzx+rX6+DrNDNgU0tUnkwbDasPUml+kUGljXZJMddHVN/jKuAnVgmPbt\n", "vk/5FbDzgOr/tMf9t/b/KoB/j0Yt+itXFDiVJbPq/6u/+a8AXAjREY1RcgztyHtByj9Y6qsVbaSj\n", "gXlP4Jqr30s0sCyjN8Uyh/TmnuydvolVW8/SEZWxGElFhwUv0lxnJrw43N2hoIMtoSwzMNTmi8Cd\n", "r0OXKxD5/Bq7O5Mls9QckROOxhC4EUgvjyrf8t313wU1Bjb2QPAWtXzEh5iBCAXCZ8HodLj5COg2\n", "gerQmAdVMyDGDkqPF6BXb7z+wl+0y2jRRYZJ6XLhbW5G7/GgzpglVK9eKMvv82uNvralTRGKX863\n", "4b7flkDEhxFrk5pSRy1ot9ZsvWJHeoXHLiw6hzQLl2KkSVVoQyd98KmppaXVjVqXijikw1b2Fxon\n", "VkBABUSZYe0lAxmOuew0xHPjsbmETVnBi9tu4QFfH3Z166wbNvr40xYZ2nT69tWre5ybm0K/3EPk\n", "3RiCsa/KiiVC7uhcJRKXhsvPPFX01FvEML9x8vCQsyKxKJzwilhb4P27LR/Ki0I0+MprN4/yFs1b\n", "vfWL8WR2upmInoPh5weF/vODitozxCC6dHCK8hap7itFWV8AF3KFVCp8ii/WefXeGm/Yx5eC2sY1\n", "tHovyfa+7bzVT8fKyh8CoaEJEhRISDcw2BXOlFIzcUoDODohZTSKWCGcKtIeHIxpzhzEsbMolkSM\n", "WwS4AiD1iq/rgY0jdEm3Hha9b650BMZIq/hResR7IC/ibvWnvsCqOPYFmIKOxrqDSs0WYW+x4i5r\n", "oaDO5shMxDZpEv5z56LX6ZA/baP+553Ub9uBywgi0hd/XTBBJxOwVvgjQux4n9xN24wzOPQqzjMR\n", "+J6MxKfNgD4/DNfpePTlRr1+ZHW8N7Oyg873cjscpQEypmOpPanrZVdi7wKzN7zm1LFmDn5eYMxr\n", "qo7JCMQ0zG5XEivbvD6NPo2yxb/Z47A4dS6TquAG2QKKXfEYbUZ3aFuop31ze7PVZrVb26xOJIGV\n", "0ZWusugy0RTQtKwhpOE9sinht0CtkIEvnfHHj1DKqCeXYvbxV6BWS0H8SSP8V07iX2k5IseMdjN/\n", "q4HQBS28cfJvRtHf0fN+P/c4NJpfDzQgDp3ClJZggm169OUWLMV++BUrKE1o3nYLGgOkBWixYWsF\n", "mq1Ym4G2LLIFWoFCP7QkY28UYtGjoy8SE4WVu8I3rXFNDr1iCOz/xhNvvujVeaci6Q/4IdGBQGkR\n", "Xmutlbj8uKYuBV2aY1piDJ/wyfQ22k5J+ftjJlcbwFaFV0WuG7+usTy6PERV1BcRLJRZV+lXWuHE\n", "TOCFI1D7KiRth4BQWHdR81KGAt0IpFhJxDeogpjYNEobi7AY0AfOeMGo7+qIlIlGH2GMbJDWqGbh\n", "F2kjMNiDw4GnoQGPs0mYYvylKFyV6hUOd3FcXI3L3qBPWfmJUYls9CtOqA4qMqiuCAUZqKL4G3CZ\n", "dNiEERvBOFtUnD5W3JhQhbQK0SRw6XyNppZmf7XVblV2MZJ2FHs7ZZ5VlCuqp9Gm6BL05YrtGli7\n", "fSrrrt2Nri6E2060YveUsaZXplozNU9pyndRko7XraJrtAlCq8JoCmiSCbFO78hY9MOTYVxHqGvS\n", "cfSQv/PctmT9zyVesTM+T3EZPcxddItXX+V7eQnfhBswtCSTXFBKaV879s06dBmttPo102xSwBSi\n", "0GYNxr8yDkMo1EdVcKjFRsOle5QZPp/56mKUZoZNx+kfjLHpFGpsFQTUo/Otgb7xyMR7Ecp0aD1g\n", "kRc/C+DC3mrPnihV2ZGC7nyKgqXNl6SiJJQihfor1d4kWa5MH62KztNxdxmG3lMPJiOCAqScgDS5\n", "EDYDDrtOtCztpPe+PcAbVB6gmkNbDa1zfko/dtNZz55O5HtL/Jm9pgPii+E0FBiV1PT6aNGlJdKk\n", "VARRX2eSzvjqlrYIV4A+sQx3cI37chOtVS1C5/RKH6NLr5rajIquWa/D6cXd5vLaG91CsQtnOFYR\n", "LQOMvhXRjrCqBH2YJ7zq/2PvzKMsq8qz/9tnvmPVrXnurp4nep7oZhKZkSAREQVRHBD90KjBKEbT\n", "tCZqlBAnxGgQEZRJGWQWaMamm+6maZoeq7q6a56r7nzvmff3x20iGpN8flGTtZJ3rXftc06tW7Vv\n", "3bOfu8+7n/08NdTs1dD2U9lLsTFdnV67c81OZefSnTIYC/rDvnAPGTQs5mHSSZw4teRJ4RNHxySO\n", "JI2gD8EgcLPcJH/16zGNFEg28aWlVMr8JwG7N8lNN/5nsecPHf8jAfx3xWaxuaLt8JugvpwKrem1\n", "7aw9ZZQm3s4vVwIH/i3epxCi5izOuiIgWOXhzZPIThW1KkFiMkkynSRZSJBwIkQQiEQ33Q33cE9L\n", "PfWykUZRT71TT32hkcbpBImMQORB5mbQa6xp37F89qqeFuOAK8RRkL4I3IieHYlbYw9bevShiF+9\n", "bcbyqsLcEajv8gCbAAdJFNCZxmMckyxpihwhxyuM8ixTbAeGruf6hcC7B1sH3zfrG/c1blibUTNp\n", "49nTlthfuW3xJ+zS0eh9Z/CkuoR9qQMsCrdSP3Azh3NdDM6ro+6ZpSz9aTfd7b30foEIIa1EGKCI\n", "w1V3/JxXLnsH7ytljP/zyt2zj97+9fesTR3LY2iqDFvGZV3zUddI9htnXTtWaN1QjG+9r1F41eMs\n", "SLaKeEMRq6ZELGYjzhC4Zxhh6f1RLz2hBXt26qbjSXvwiKktTLSNvvxstLFNNo+KaaPRHTI1zfH1\n", "eCwv1XJZ5sKE4hBnsXIwNBLTnigHppWcYJU3ypgPY1WQKEPChvoyBAKyFmRNUKohberhKRf7yhMr\n", "Z7LwxFHyrs3+F6pl44q8KPXVsOn6JWHZTr+8f+ah9YkRneqJojsUBG44SC4HLQqEtTDVBPl+aFqL\n", "nj+Lhupqao35tXv9WzagP7AIccnrhJ/ehlKThm/P1f271qAOGQjnqMcV22EygD5JOAhKXkJ1Atpn\n", "wEc/SjhawP/Bi+gjMYHsQFgFk8beRk7oXUpVn0m00Cs3dvZOnHVZWIqfYbdHVtjq+L54+dgzzVNd\n", "v+wcO/VL+ztUA/Gzs9/T7XpmTCKqJKQOLTiUePTcR4XhGnLp3qVurBhTi/GiemT1a9MTqek4ZcM0\n", "fBVXCXB1n4hjoodqqJuBd/JCO1Rc6R7Zurhq4kAcmekd87NBbT5X0KTt01oT8WpSDLhq+dkD3f5T\n", "111H9BOf4OI7vtZ6Uu/9K8a8qeTtNZnZD8aqDuHEMx8cMswLe+L51u7Wo8po7Zh0TRd0QmKoxJA4\n", "2HhMEdKPRhcxDqAwQKXsNwgMy02VtRyo8MI3bN2QWrJvycZYMbZxvLzgr9r8STS1NJBP5A+MNo12\n", "dc/tfmH3g7vv/S3MSFDhqc/ZJDf96A8MSf9P8b8A/h/EZrG5Dlj2BGc+1cQYy9i7j8oKdDe/OVP/\n", "N0swQogklS+DN2bpK6l49h2gUno5CBQUlIiKulQiTwgIFgqETJAYu4IrZiZImICrok7XzMh5s07q\n", "adL6XGnsdfSGwpRIhHkilIlSIiuSHNRbeHKhlPet76e3cVLovirnHp0d5pyyUjKLuHEHN+7iJFyh\n", "eAI1L0PyZP0s3WGR7WeFiybP22CcHd3Ys37loqKyrDEM1N2E3j6t7/Dkgnte/N5Jwy2DI2+LUD7t\n", "IPGB2+kxXudgu0CIkznZB5Td7OYSLhl3cMwzv7g9VdNaKgSONjR/da4YbVdWF9Nxjn2zI3NXbxfT\n", "TruxYvtpW2RordAsL9F5+rH4qz3e+EOxvd50erqmbjqe+a471bJiEfLwZfO7nHxkhNk9G6qieklz\n", "o+6EPpzSq0r6vOYEsfqysKptylMRihNRku05Xt5ZLXc93UrmH84V+xftp2mqjobhFoYZ4is9tzC+\n", "rAXhwg3t6+kbytDWso9XzxzHrYGrZypcNQ9eGsT/dJeqfXxoBV9/bkd5uoftH/0cb7n0Mli7Dso2\n", "GAlocJpYX84WnjipHFl5gOld01T/DWy/tvKkkh+EppfhNANa99Qjbp9pKQOaR/WxaFDOOaUCriI9\n", "IoQotAPvAus2kxnEmV9rlp9Jp/357y0nrlwP7zoFntujcdsrOo9lbSKFSNjcX0971xxlSd9iqorV\n", "KCKkbeOgnHvOEeZfeDiMNxXE4HNtYuTuZvnalmVPpydrj4LMn3fTw2e5JaNuy+ffui30tBoPb7aG\n", "1tg9t7v89FmPJeb31bJn/nAoNNQgEEpVPkHDaJNsHWgTqq8G2eoRR9QPWuH4WCB7An1Cqt5gWg1L\n", "dqCnqKbeqFU6OzSWry0GK07NFU48Lx00t2Arimxd/8/CunYD74tofHykQN0jB9m+/RmlKe+IE8rR\n", "MBomJERBFAQyJyvEwAAPySgq3SQYpp4JNDwqJIEIEBUQkcePeVMbz8fjHf0d8faBdqt9oF1tGG9g\n", "on7CH2odKh+tsxMD9QWKs3ZsozLLL0WL0d1/9Y2/epLf3OE5g8oi807gE7/vutofIv5UpsbnAN8E\n", "VOCfpZR///t24r86fovdYVFZ8HjzTH0pv1mCeUOPoa/ywYozqLz/IlB85RXCr32NGbt2MX94mMWu\n", "ywoqdfnDJuZrp3M6M5m5JkOm6QhHdo8wYquoswyM2XHiXlREjHmtMRbOiKrhSEO/d6w+q8mw2UNv\n", "BDBxPFM4jqnmTN8sqGM1tpcNalQvNFQQqL4qtUAVaqBSsmyRTxSYrplmvGGcqdoppmunKcaKREtR\n", "UtkYdWWL1oZQrl5ke2esLgWrFhbN7LSVGe+LDgXjSlt5QCY+9DU3nL3QHlyxwRv4znfkqru/W/9A\n", "o2i0s73VhtWQ6wyMcgeaX2NGw1ii3lYaOvPEGkqEEj70C42Do0p4U+vMdG5Pq5UfjSs5V5r7nuj0\n", "9emkvir2CAv9o+I9qxtk67lDg+86q1y/vAmzPclpVTH5PEBcxL+whjWfWsziu1dsKHW8/bb73/Lg\n", "+/+8/6x/eHxW97Cu7Xlklpu+baM1nuwqrl9hxPa/oPtDHTmu+f5j6g/v0MTlzyTC5dmMctVHQnbV\n", "2dzwMtzZqTPLX0DDYyt5OHKEwRlDrH5gNYhSsWXhfvP6F/q1c/7O4kCpTPsOWerZrVmzmZc9sOHA\n", "j0jwodgTSB0GY9AUg2oHtDEAAW41hEmkrujSSBhKqaVE0ojI2YUGTuhZwvKmJD9csJ3qsQax8YmN\n", "VM8u0HTjPVx6dpqhKZXv7oRHX4pJo7tRRA8naBytLrfqsak6oyqeElX5+tn5zBl//+Rk45Lxlemj\n", "qdjwK80Hdn1/zUJ71BTRY2UmZP3uvGoCtOkKTcmZmaDLtnuHayfc4ZZhY7h+uH6icaLaNV03XoiH\n", "s47O0ucdbBWRgSRTXtbtFf3DaWPEE4ls03Q6rEolNGrUKidpNwRtbpV5XvIIa6M5RX1fNfal2fBI\n", "0VJf7aln3Dry8pFpGMwRmywxt+xjeAEibkBCB38K/ANQHANTVZgRMZjZIOhYWJazliBm1EHKxIsn\n", "cBLVeJEIoami6CqKrqBoCqqmoKsK2j/v5h+v/qXYsnrX6tpFBxbNr5usWxQpR5argVoTqMEOKeSL\n", "aqA+q0hl5xt0XUN4sokh3mN9/4vlSPkEX/NXeLrXnk/kezPVmd6J+omh4ZbhibHGsVKohnEqpivJ\n", "421WbpLv+eMjUiX+6AB+XHTmMHAGMETl2+rdUsqDv08n/qvjP2KhHC/BzOJfl2DiwJ7LHr+9pm7+\n", "pBKpKftG3FWEQhSIvSl9x8YfnyBaKECpKCgWJYUilMuEto1bKiGnpzFGRymPjjI9NIQ3NUWsXKZu\n", "ZAQtFiPn+0uTuuhkgbXt5njQ1lefmzPZ5kRTM3Hnxghnq4qcmTNF26hhmXklhuJEscoRQiUsKaEy\n", "IqSYkLrnaM2TjYY91VS0ppKvNxe8nrq8mq0qqvlkUZSSJXzDp963mBXTWNoWsGZRmfpSgld+Vs03\n", "fzLCB5KXYJUbCC1XYjlSGJ6P5ruhq+hBUTOarHFRF2QJVzquPdJhLL/4UHjvVEEZCR3+eo0ZNs7J\n", "STPlKokZeeH80ETbFPDw2Rs5tGcOdlcj5fo0fe0D9LQMQNtkWBuTpbnFWDjSnZfPvDQZ/crpy7s/\n", "fOfuuUfum/OLhvVjalVHbvkjHzt/y6u3rLh8/vmH1JFXm82ti24qL1weaBe/H/2hB+FgI6LjXrj2\n", "ReTmVkQ8FvF75pU10afS8kqrfP3kQERsizXbW5jUi8E1u19V/+EeyVPfVYhPwlgYMknFsqhcC/Nc\n", "WJmv6Ku2AzU6oVZF4CfR0tXwgbdBwiF89zrFLv3t22Nf/NmvbCtWoP9AjOktK8qTkXL8c+Uu/ULq\n", "OG+WSlNcZ+urCfzhqmC2FmXwlYZy34Fo1JIJRUdDVcKiVW37ybZcPNGak07RSHuxUnfvgZpAZqKz\n", "rVy8RSohpfi0LFq+L6VUI+U4VXZUpOZPyr1+vudQa19/17wufyI60UAvixhkkmNU10/UxzIyE0pC\n", "e16rCFduDOJz5ilyzixVzJklmDtPkqwJUI2gMmeNwLk/Re4aQhRcaIkimxVLdDoWS2Vmak4eZYZD\n", "JFFSzPiwKtxBj0hGIZoDKxsiQiG3v7PT3XNeuXgkNRbR9LB/YT1PvWMRW7NjhD/7GUv27GHV4CDr\n", "fJ9sNMqzbW089dnPsrXncJt88oZ1K4rj0Q1hIDZKRS4rW2WZjqYzmWjGz1t5xTFsS0uKkohKpBpW\n", "+Zof9XRPd3RPtXUXW3cREnRFlDVVFjQjzFkqdlQVriUU+9iw2W24Rtl0TCdSjrjRUtSLFWN+Kp2y\n", "N2zbMAS8vklu2v1HBSX+NAB+IrBJSnnO8fPPAUgpv/b7dOI/0YFZVEoeARUeZ/A7jv+j87CR0aEA\n", "ldt4/7zDzF8fovh5HPUhnv2CRAYBBCHSBwL56zZQUBQdPaKjx3T0uI6e1NCiAUHeE+60lXTT8xqq\n", "zfkNqSZ/tDY6ro52Tzft765fOFFb0xg0ooSa7QYNfiirLEv6hilDRZNGNCb9eFy6iSR+PCHDunqp\n", "2zaxPXuEsnu34MiRUHZ1ISYnYeHCSi5ZAsuWwpxZClWqKf3BuLDTftijyPCoHwaTBUPfsz8Wxl+M\n", "897dEXVEJnMvuS1dAXFhYUVNzJiGFldRq4vRopKvGZXF1IRM106q6dpJ+piQw4+VRfIKWLwSOi2o\n", "yWpYAwb+/gRyoIqQCK4wcTHxpEkYmmRLLlVqHSf2GaieiQA+ov8APBBv3HoaEOKjEtqaqk+YTaLX\n", "6ZCDYbsY9DoQIqTB7Kc17KeJfuqVMUxFUg6r6AvmcHTdXHpf6ERY43LKiIuFn72fd3y4H2sXPJeD\n", "4gL40PXwzAuESyfZlxcsvfMceKID5rwo+MZ+ibwUkq/pWCPw5Zs9WmPws48Z3sAyV9/YEJOpsRpv\n", "30uG+lSyR8m8E3HN9+FegcwZSPckwsIStFgMe0mtcuhcq2Zn/Z7W8e98u/zpi2as/H6xr+4KO3QT\n", "GtreBlFnxxpKS7ySXh14CnptgUyswLjry+qp2vFEPpE2UqXmJe/bHaudmaNrX5MWQeINJxh8vR5n\n", "JEk2mZPjtZMyU53JBq1T5fbVI3VZWXp52T+cuTqwa/Ni3i8//sTe/lvXx/9WagAAIABJREFUvItH\n", "Vl6rnnbdvfFXJhV77ZJ6Is5Lc4ute1qrjvR2Ow1WdHLmDJEpK+WZLx4Zrb54/gkssldQMysjG9rH\n", "aFRGg6blo/11K6dSygguu3mdv2M9PkbWwI34hHqIJsCSld2W2DFTZs1qMZ5rkI5mltRY0OPUFQft\n", "tfl5fYHe0l+XNbPxrBA+SjyJ31DL+Gso5aKmCE9RcKXQyz5W0ZVWOcAo+aFWDKRaDCT5ICSUkNAE\n", "CUOQNCBhQJUFSQuqLUlVVFIdgbgqiCsKCVUlpiphTKhhXFFC3YsakVAjpoSu72gisDXFdzTFd1RC\n", "Xwns6Yj38NUXTFD5qvq38heb5KYH/yiY9qb4UwD4xcDZUsoPHz+/HFgnpfz479OJ/0QH3kOF5qdQ\n", "KWGov3WsHmRB1Wssq1EJUQiFQohCIH59HoigRY3pnR5uWff7+meqAEJW8EUAquVjpWzMlI2Vco63\n", "tjRTDlbKFlal5fj5vxyHvoI9bWGnLR771Ftl78ttIVCRohJSkUiBVKRAgAQpBcjKOvmbU4YCVQ84\n", "8ZMvs+Evt7HzprX07Ivw9jMf5+g2jaP7I3Ks32Ai65L2SkghqYlpfiqh+jXRiOI0YnRVZUVDKeRt\n", "A4KD8xTSdQrNTpKGwJJVmoIZ97ASrrBm2UTOdPBsnVxXhIjvs6tfDS/9Slb59l9a7tolWrmoeEbJ\n", "9M28GSo5XZJVQ6YDMHywbKg7Bs4ADElIe7BGU+SIEiPZmC8P1WM0CcSlGop+FaJ0JkFkMQpDhGIC\n", "hIKaaaU40A0LTY6WyiTH1WRzaV6jkR5pZrCvjUI5hgwlpakoxXKGGWcfxVowwUOHNTp/8XYe//KN\n", "7PPKyBCW1MMD74bT1sNnCshLClU9D19SnHPerQFfP1EyYxKeHiR8/MMRRQ91rp7t85d/XpLrlkTF\n", "xWeuC7Jrngk3748FX79dNe8KDFFzclJWTdaiT0RFLBkj6kWJjcaIeTFqrCiaF0HEy4jqAqKqgFJd\n", "QKstyFi1I5oWTofzlhSU2vYCE0aBbselPFCF7K3D663D66/D76/FHa4GX6F2wQR1CydJzJ7Cb5om\n", "0pEm0ZalSgREgjfd5VpFBFioIFUBCIQSEnigWqDooCkQ1cEPIMzAnl3gD6hYE4LIlCAyKbHSIVZG\n", "Yk5JjEnQpiFIAvUQNiNlE9CEoBFEE0xJeO7uCHJKJzqpsHKySHPRw9EFpi/JWArjEY0RS6N9lYvT\n", "ADISk4aSkrYZldO6pk5qjrw9HJGZwBFj0hMyFCT8CCkvQY2bpMqJY5a10ChrvlESTqaU9cbLGTVv\n", "e7Emr8NtdTudaqdREY4VCz11OnTVgcBTjyHFEaCHCivsX8D3n7jqRQ+Na/he55uvb5Kb/tvpgv8p\n", "APwdwDn/EYADm9/0smellM/+f//RfyeOlzqWUeFZ61SEbDqp7HoztIhrVbXnErHGYjzWUIxFakvR\n", "aE05Uk6Yy5pmjVJTny4aMVc14q7yL5lwFaFInKwpnZwpnayJnbWknbF4I8vTEUppS9jTEVGejory\n", "lEU5HcEv68hQHE+l0gaC8Pi1MCSUgYIMFSEDIeZ97unhWR/dmgYUWVG4EoaKWWUQs3wjrhetSGYk\n", "RnkyKg1FCPn3PqVhR6q1RV8xfKnko6rIxpQgExU1q3plVnPEwXyIpsDqFqg3wXUErqPgOyq+oyOK\n", "ETxXpSx9yjKQMuFTs9ClPucJKQQ7hcGljzh8ZqPFhXNNVBWEUNCkjhAKwvDRRIiIBZTqXbLVDsOl\n", "gMNTsCIJqw0Vw4NAKuj4SB1sIYl8CbxzVBm+XxPyeKFJrXNBl1LClOsSlRI9ZqmlXH+V5dlqEHpq\n", "RI24IlLt4gZB8NTtTeozXzzTqw/r9AkmqaWWnJ5l69qt4Z4NrynsAw1k+n5E55cEk1IyRzPw+0PU\n", "F30en4CXzAo5f93H4LQDzfzwMw63vP18jOEZKHjoODjEcfEpJgrYcYeGiQakkMg3nOOQIGHumUdp\n", "WTGGQECoIANBsiVP69phmpaNMX0kRf9L7Rz4+SLG9jTjZE20qE9VR4bGpWO0rhnCrC2y7N0HCHyF\n", "wFMI/crvkYGC71VSegrSFYRv/NxVKsdFgXHIR5kIUSZDtCmbqXSR1jRYx8mtogho4FkQxMCNVtKJ\n", "gh1RyCs6ed8iUGooEKUsNRkt6sIVRfLxojeYCMrDwpD5fK1RdiOaaMv7rSdM6fvT1dqLB1s5Y6Sn\n", "97OH0u2zinn1J43N4WtxIatdW9SXHeocV7SUAr/V8f0mfFmP1A1Q8phOkWRwtEZEh5LI4YRf7q1y\n", "3SNJR/RUeeZoQo26MVVKU+IbvqIGKrqnB4qvONKTgV/ydc/xFKnKISIcJcVBTCb4TVpvpb35tRdx\n", "kvDJzjog/2bGyn91CCFOA05706VNf2wAXw9c/6YSynVA+OaFzD9uDVyk+LUYTa1X1up3/3DlX0Zq\n", "y0q0tqRYKVuNpMqqWeVoZtIxVD1Q3ILhHE/byZslN2+Ud+1evSg3neSE5n0PlTNWoTQZzZXGY7ns\n", "YDKTPprKFkfjBRkqHuAC3vF847hmunr6ykg5clYpViodnne4d//i/QPlaNkNRehpgSYiGbVdy4r5\n", "lqfHaiKxwZSWSEc9S7NcwzBd0zBcwzA93Yz4hmn6uhENNUN1DC0smoqbN3ALJqoeoMddzISDmbQx\n", "Ei7zLzzMwNYO+re2E3gqidmTodEx5Q02D8h76g+YhdAVf/eaDNcc1YIfp5rDg6UqbSwr1JKdJVQm\n", "yZRKTGZCPnctcsNCguEI4oRB1IV52NVO2LyQ4Px3o733co79+TXYw2nmdPZX+VV9upksFnLWqK2L\n", "AWKMIoMBuLMX5boANibhq+dC21mqZClCnRNKYUkZekret9WsekFQM9wkjVc/p+eXpRuPhr5WLTXZ\n", "2rpxMJqfCLKjBxKGFTWs2g5XJFuLZHoTPHjZvIPZ8rDiamFjRDGT8yMRpgtRZc++04jro/b8i7PW\n", "i8808coJ+1i6dynqtErGy+DhsmnbE9x4bRP3HzlKPhXgNwBtUFMPD/wCXq2GT58nuPV0C+3ejbx8\n", "y2yOiP2yK9InJ+08rl4UXosQ7nmuJI4wthDW7EHWeSgJCJNY5Xrm+DbD7l6mo+l6yldeSeKDH0Rv\n", "aEANQ9zDWxvF9d9vE0+tfLV0vteavtRt7lh2+WssXO6UnaJ6+FuPKnN/+Ixq5X6iFpbP118678TE\n", "zslDDUsPdtddlCmMYjRPlf7i8yUzHhfKzd8VYX+vkk/GFdk8oSaYRuuP1vl6RirfMruVpmWCwa52\n", "f3K6VhGxbuefixORv7iazPJVPJMpMFh1Jdc4eRh+kJLmERTTxLMjuNlJRKGAEXcR2V0mnX4bRigJ\n", "otkg6gol5gphBgEGPjoOBh4aITYVecEyCrZQKBihVLVQzLLhWAz3mo0cveXHzCi4Ihjpi8vJAw1K\n", "aXeH5u6YZQyPST+f6PP9ml606BgtOfRZExG1PaOJ5kJIrWcTJ4+jqIzrmhzSw/CY4sohX4aDIKYi\n", "jE4mGOhLMd4bI+ILOpDMIsEY9QxQzzhxfARJIMHYkg2Yeajum6ayOBnwu4D+d197o52Wm+STfxxM\n", "exO6/Qlm4BqVRcy3UvFT2sGfdBFTvJWKst40MPX/0OZ/0ynnjT7+5iLmZrFZBeKnbd6yJFJTXuzk\n", "zDqvrNf4Jb3at7Uqr6RVTXXVtU9117SW05FYrK5kW6myL0OheSVD80q65pU0xbM1Qt3HM11808Uz\n", "XJmqs0nW2iJS5chYyhGJGpvqOptIlYNjONiGQ0FzyWkOadVmSnGYntaxX29D2ddBtLuN5HAD6VSa\n", "saYRTnhLr7zsyj7x4Z+kw3GXcCSBVlbh6pfV8FPbpPKN5U282BoNTMsum2Ypr0YLU6HqZq46h/rl\n", "s6kpFfHxCJaOEujHaOmbINhfAstFv+Y2lAs1il818GROxERRGqEmpBOVGApSFYQCCltdIp8qortS\n", "E5fKdVJwktLJUVazi5kcqxRH20CeRiBHUIVTsY8dcUD6imxQValUhUrmaDVj+xopjsewp3R5bEuL\n", "GNjWTuDFQQQ0MRDUiomgy2ov+2ZJBGEk4dpRsdN9jfWRddx/0Y8YfSjwP1j4kFbQBw50ODMWOnrI\n", "OXffkrcnp0fO+yTzSyVo19pwrRwLb8hTO6Wy+mmNxzsdmKHyUuDzt6dAiy5COyMVN0vAGGp/BkaX\n", "QOlJQnuMsCqo8eqKM0Qq06lHs83KeDgm1VO2hOd/aNpduRZz1y7Sd9+L/9xz1KsCNbUaykvhz1Kw\n", "415YsAh27ybo6sKNRgliCfxMqbn6kplVXnp/2rtvJG3NaXTdd69JWResVanvKOR8S02UW12qFnti\n", "/z7CndchLngecYoGyQWE552H//nPo+98IuWPPrhOq33Y5eTpF4WBSwGQIoI0DL8UF7LqeyVNzAlF\n", "zweqqNVVX6kWvkwRUI8QddJQm3zNjgYcfmkm++/eQOyk4cnUF56YPrDdnjV6KKpOjDZ7hbEWPznZ\n", "EGmfrBc1eZNCMke+6agXxCYn4kp6b0s4fnjZmK/lBs7/wHhbo6PP9a3WtcMD7RsGppuWj8h4U6FW\n", "KGGnnY3Y09014djepmhuMDlVGIvtzw0ltvW9Vr/lpaaePdtOf8S77kUaF4/TXleiLebSUlOmvrpI\n", "KlcxL+6woC4C1jgwCv5NMHBrxb6tncpE66FKFh+CKFIijgu4mXAc3H/dJv6Da77cJC/7QyLZ74o/\n", "FY3wXH5NI7xFSvnV37cT/xWxWWw2qRirxu7hnY/puFzEg9dQUfSbCXiKFqCagYKQEpAyEDL0VDX0\n", "FRUAISVSCKGGoWqEvmZ6vhb1QzVe1rVkyRya0S9L1UWhhmogHc0LioY9d15huq6xnBBCRsyEY1lV\n", "jp7rT8pcb02Q2d8oJl5vGhNFa0jztWkt0EwhxTyBsIBtvXSc38wIEcqFJsYeOpdHv9fA2CcP1yUv\n", "uGGlMB5YWuTdL7bz1V39TPltvoOZ76A/n6BQpuJ56VDhyzYACVtl2AyICGiQIAJQM4IwSCH+LA8d\n", "kvQtfvSVY8xZkiMpmxj98VyO+CFcc7iG9OsWHT8b1tVnUcIzeGt5KcuVtjkjMl2qiuuBT/Oa0a66\n", "JZNW9ZxMVc3c6WjT1lFdv81l7PsN7nS2yvdcRVWTttnYkaeqPUfX3prw0NHo6CvDvnLi0nz59JNz\n", "bc+8EFVvvKMUbu+S6pFX4SUD+a4q/Pogqdec0iwOtxzmnAfPQSkpbD3zUdRkJHjvXVepz5+6hYWZ\n", "YnF4rOwtPXOseumykK9dH5edE/VijztFRI1S++mQK5qSZOf3kn3J56s/hbv+HkpVETzVxnQkjg4i\n", "BrURVUZ9Xc4M42G0FNUikUCa9Xkfq6xrUQ/LIjRNFEUBx0GWSlAqIQoFyOUq9bAlS0BVQNOPK8AD\n", "UiLDEBkEyKGdzUrvc7NEpqea4kAKKUGJlSFRYKef5/QZeRaYGZn4SYGGz2aEeqEkuBY5cRfO4TkE\n", "q54leuvf4H73PtTeNGqtgmPIqHyrfLsZ5ZjyPDs4h2WkaGImZZZ86RgzLx/m2bd1yNqhaJAQoaoH\n", "rjQDV+qBh+G7aKGnmNIRFg4SgYOJqxjSVQ3h6TqeoeNrWlhUIkpJRvACxS56UVFy46rtxNWCRVBQ\n", "VDSlqCwsTmBJcefLrL+rTDQLiI93f+uh0FcmQ185lGjNHYqkHB2YR4V220bF6KHreHa/qR0AGfzG\n", "oBbCsKHpaVj5I6i5r2LssJQKt3tG5f7XYhXew+HvUTGr2PnfTQPljfjfjTz/TmwWm2uBB4DiARae\n", "7WKwnD3fM5O2iDUWw0RLQU005414cz5aGI3PGN3TNDvTV13b+ZZjxRUf2i3a1g1aSCbcojFRnoql\n", "x4/Gy6/u0NoOHxJzw0xyuHrwhFElnVpdO29KaVw+5jctG1WGd7UwsrtZtzMR7LSFb2sCCEA4VASO\n", "TCq7v44BLx2/to3KDfu+HIkf9dHBCey/dLbSfers5J5LOp3u2sm4x70L68aufjln1zt+n0bwEaQ8\n", "9C9vVogElS31N1ChNQ531ZDxFRbNm6T4LLzwiQTrxqqpcd4P3s8YD8e0ns8VPndYQzsf+MKl/Oyn\n", "8+n6KnB5FiauI9byY+FEz+tYoZy5rJX5q6d6Z5zUn0y0FJLR+qIRSI2gEPQNDquF/SMyKPwyqL3o\n", "brflqiVLpeO3KWWjJKciE+GkNSEmlo8qCQkbqgWnLJHUxuGv7xSoBoSWpKjDuUfguufhxPfqmIFA\n", "dU3SlEmOJPjwo1fx4Nvuo/n0PjJHUizcchIFuyCfG39G5LIuJ58N370ZPnutxRV7JKVjIfcrZ+Os\n", "tRk58TUWr5vg1RF4PAczvgn+raAtg2M7NA4+uSLcu2+28tp0QF9HPyPNI8Wh1iFVutIP+0KDQUIa\n", "+DDL+UXFpFeoQPSmHbTd8ipfFYKVza/TFXGJdXTULKs5UKv2Wd1qey3yzzegLDwboRQoUGZQxhnY\n", "XmSdECSTBtnmQrWlJX1L1V2kCKVuhkLXQ7ySjlvUsaet8OGPvY14fYGGZSNhz2v2sefuHesdZrxu\n", "G/6iJATzwXPASrHGaCEUD/MKs9E5B8nH8Rm/QtD8DclfXqLSt+105tUmmCXHg/XZ4dLS8vBUBHv6\n", "cC3WlVXMb9Q71LeOnOnW5fKTM+j7+xDl5LIWuUDG0DzLUENDsDKy55AaBgnFD2OKF1qiLHXFDlXN\n", "9TECF036+Gi4ihE6wgy8Bk2K06SSOSMl2y4YLMXqSw6w5Xi+cPwOfgPQ32jnUjFUPsq/BvYuYPS3\n", "n7SPW7ctgu/ugkeBR0eoAHxIhQL9NSoT0P9ONfH/BfDjvYhQ+bCaj7dNdsZsLU3GOuy01bp//6K3\n", "JPQ8CT3vl6eiTnE8VkgfSzlDL7dG0sdS1UCgWX5aSsqBrRmBp8aQJEG4UvELRseoEZ03lGhfms7N\n", "WZXJNi2aNpJtuWoj4VpO1gydvClyAwnvwM8XKfvuXjJQGk/0H+9YBxV1wO1UgPolYMcmuSn7Rs83\n", "i83nAt8GrCKRtlN4njX6dscwMuYdywK5Z4my7a/vDXtnpTmNytPD3Uh5XMKTdcCH8gbvSLg8A9yy\n", "t4Gnt7bwxCWHOPlui7HPLiJVcFHMUbSPfYuuf3q/2GPlUys+xsdqNLTbgC+/M3LnW5o7Rm+15pfi\n", "92wwUVqL2uITFBYsCGTRw++axD0wjrpvFPP1USH2pSUTJRCuwHAMVowYPPRAkQ+clmRrncQJHImv\n", "inggOCHuMFcERHsV5qclST9Ecw1iZQvFjZJ1Tde/LKtefGtaLa2DrRcq/OOnEjyvlgnX+Hyx+xOI\n", "EGZ//h4a52ac115MKg/8oF5dUVijfJAf8aNT4DOd0LIdJnsiKKHkztqAT+R9/kp+hrc++X0ePuI6\n", "5q2h8ZkdnohEFGJuwPBVDbxe1Und+l7mrp9gzAl5oVvwq37Jcz1QzBiooUYgpHQNX3q6LzRfLaq+\n", "NuRrfsbX/YUIngG+wwhXcjvvFu8V6z/9T5/+yY3c2CqR1yrwQVPQfvWpDH/xS3SkFlI7dT/e+S5a\n", "IYC3+0awqupc48q//DGZTLUQXxB/pinccVuRyFkfN9SbvlK348Av5/Z84MP+u+3RlDi2pVNOH60K\n", "BYri4ubSpN1RRqvjdXbv+z47UstUTe+dX7MXP812c6PS3PfgjLG2U4dRPrQxFBfeCdlPw30/hWeJ\n", "0kUHtcykodoPlyt+YWEmGLmzurv2EWeq7tPLTvWDHSeWQ1/dfD4Pfa+G9Oa9nPCZPaxAIXxYonwb\n", "eOpN7lSPHL/X6/Cp4lFMPgsYSD6KTQuC9Sg0YFCxg3P4NZusdHxsPA08BvLo8d8ZozKVnse/BvgI\n", "FTD/bWDvEkJOQaVcKoRQgLOo6B0toUJ4eAq4S0r58/9/vPnDxP8gABeLqYjjN705jz7VOWvHTWub\n", "nZyplKeivp22QjtrKV5R16QUUjWCkqKGhfGwvrkYxGjzhh6QoWJSuTE6gNeAJ4A99YvH3ZUf2p3q\n", "OKm/ITUr3Zxz7WXFklzd2EjK9ylGIhzTddzAVZuFIuvG99XnXr11ebznsXkT0z01g0gRobIZaIhf\n", "g/U24OCbzYs3i81VVAR2LgQu1vCql/D68Hq2lxNabs6hDZKvzHH8vYvZ8r2bePaMo3wK+CmwCSlz\n", "VHwH3wt8aDxK5P0XMfDEbBaHD3Pap/ZyzUcifLi3GvXTK5k4AAnteXylRPylJ+I3XH5G4/Kilj3t\n", "qxeum5p70kSuoWOssWHGeDIyr8zkmMneA5IDXXBsygh29BXYdxi1UEBKraK9GJ8ymZGdyTJ1Ec3Z\n", "2Ti6y1hqH1+feJ6bE5I+W3JGUpfNWVestAVJBPrJIa/v7XCOZJrTP3hLv/VatRsm768em2Ai1UJL\n", "U1/0IJMXw9RPkKdDIaOQmK9tCF/96KvKVXf9WdBQ7hTmO3558+t9pcuO7o9GdD9iXjIj9Nfu9bWZ\n", "sV6ifpEDJwkaPx5wYT+URuGrTyLv2tEg2mPv4iO/+i7mKQnZrbaJ17wT2dnmkmzfJb924KBQPwmP\n", "LIEvvQxnRpHvMCNi5tpy2LAKxeknzLyAnHoGJbcHMQk8Nkfh9UZJX7VkOiLwVYnhKQjgpF8p5Ug9\n", "Tt62xLirqm2d2ZtcjWNdRzEGD3GGTHNyUz0P3fvPhItP5dJDE2iX/Bz1K/eYYu2uGcyn6yfA9k+e\n", "Tf6fVvPN5Y088OSVXJpOYz78MOkf/Yg7fn4vJyYjxvy7PnBGdvDR5a3j6nC5mBq0slmhx72USJGi\n", "llqpgMgyiUFp4vCMTGlk3khTZ81Uz/dv7J+94/uhbvytEGulFLsgfEwIHpZSGTTjNGn1QZ2XkIe9\n", "Xm22mMU54dvQUEIDe3yChqaZHCNOqThEqxOguVSecO+i8kQ5vkluso+PV4M+ariID7GfTzKT3dzC\n", "LzkJ9fi4az0+hh0qM+0WKnuoLCpqnmUqhg7DVMyP08dz+nhrU9lWn3rT6zuAeVNTNcmurnmceOL2\n", "2/mt2bsQxKiYn0SklDf/ZxDpDxH/kwD8cipuMqPHcwQYff7Lp6iv/GBVW344MSJDJUvFKy97PO03\n", "ZghCINfyMuerj3bVzpti0cUHnl73F9sHorXlGVQWSeYDVVLSPTBA+pFHaN+xg1rX5fYf/ICkZSjv\n", "muqqKe/+4apozxNzCpnDVRMxWayOU0zWMnmkmdGBFoamGxlzTdwUcB3yN126G0Vj9FROfaWPvtlr\n", "WDW5lmJqIy/2zeJok5zJ0LOX0/ZBzUjmJ9Zw9YGtl/ztM1xLRWv8Y1Q0G95CxVn83PEoj593OcVX\n", "mriIAQ7N/jnxv/dYsEpH+5uZ8XDnWGu5dqLOLOnpYOmFvdZnLm/yH9g+qv3k5yUevjNRrrPVSeuV\n", "cmRiZ33NMwfnBd85NCj3F/vD6FzVz64pRusV7Fohpk0/oUZG2+OJrqZ480iHaAqbGDAHyIZHqPIO\n", "s0YUeL/0MZCygCJ3EopDGOUuzKnncJTr73JburqRX/wiO+gkp79DP6nm+zUPGQVjVZx4y2IWT85q\n", "GFdPGtda7yUWttKIQbPIVuVEvGxK3Y2IUPWDDFm1KIrMNPs5q7iP1YxxNBLnp50t8rYTswLTyf78\n", "fZnYgR5KdZo2Nl9oc4986wRu3tbCeR99kCtvEPhZ3RsciIjpoYgIh1rVcn85s/LHBwxltmmEVzra\n", "9h3gPNUQtKdLI/VBQVYH1EVsLL8OqXagpOcQ3PM+lIN78Qf3odam8QwP3dYUmY4gj1VL9UidFO98\n", "Hb7+lEK1E2JrMBURTEUl43GYNmFcg7xKmGtEGCcgvxtD+ZhbzerezJ6arbidGRodlYZz3wvnrSH4\n", "1jtQjrzO80s3kPc8zrr6al658UYWl7Kad+COlU1bvrpeTk9LZQvPBPvZLyUy0ygad5woZ55uU4ot\n", "Y8ahIaNaN6vM9raEanz4nl/Sv6eGf/7ochn38uXZTIvVTOnVpL1dkXT+/rir/iokWUqjCwlnti6T\n", "60bPkpY/oaznABpmvkQkMkJLeYSW0EOPA2UqVoE2FcD9l4yTz7yd+1fOoG/dKE13P8SffW+cxgFg\n", "epPc9Js17kp5aj0VkD2Niu7QMBUAfsNQJUEFuFNU2GlvtFVAaWCgNVEuR5g378ghKts8DCo7qqup\n", "EB1afhfR4b8i/gcB+O8bIsWvgXn+ffdddN3y+XuYuaDXFYocE4LDVHS2DwOHJybo7mxlTbXHdc2Q\n", "Ohfu+zjRoyXql/sxdY1X0jtN6cST5IM4eanjqRIxqRAOiIqJ6+hv5RaknBZCzKFyM54LnHQSyeLH\n", "qKq9gAk3Itw+5c/DAw9ezVs+tQ8r53DEuenxZZvGf8FptT+cumMp97zazJbnb2Ue8EGgMBHlx3Mv\n", "YVbW5IPWIUs27qpRVjkOCT9tzRJzkPIisri2VP2esYXPNG0Z6K768umn79k7Mr7k1lf2+r80gxuW\n", "FlKX72J13S7mV23hufwL7NfaaHtsnbouHKobOlVJK7UxN6ZapsUspxMfn166mSP6/Utlr7uAkpVG\n", "V3YjmIUfFtHCa2jCo2qikcaDjTSmkyRFRwctNTPy645tbekxQsv0Vb+NEGFL21NQhhycphGGjAso\n", "Ki62tJknugnC3hMmZc/JLynqHS1sKGwQW+puDi6rQb3iGPgqNLjwV6dZ4U5zcf6KgwXlg71HYp8L\n", "O1496wJ/5fJiKazZUlL3xTqyjxRPrBpoe52msVe53lMYjzf1pPWhmllCKhGbpHCE8JMKqhsiYjLk\n", "nSgHkhBrU2RUq/WDGrU/sqS8rdySPfKFO/jCGdOrwhNOGTkwf92w1A3m7hmj+NooXXmXW//6aUbz\n", "Nime5Fss56El40s2FuM515JOPGWHdbWxnBV1PTWSk6K2AHXDkto01EromgPf3AhP/gwWjILdCOM2\n", "/NmVcKwKkmV48BLChER+76v0bB2lnFVZdO2VcMXF+BNTbP7Z/L9XmX/dAAAgAElEQVR+oWTLq0PC\n", "s7/BN54LtODtLMJb8XqTqsgxcwnJ7G1kX2UVpeqz1HUPX6bqVkbTr79gxUh7eunrJkZHDL1Dx0qZ\n", "2JzEs7jqrvIDCcxHSmijyQhnls5gdmkuT2pPOOVg/8Qlksg5UD2DRKGb1bFXWE2c4nQrgy9FKb50\n", "lDnpUZpUKraBDU2MdJ7Jr9bVMVn1JGfa+zghAuKyTXLTPf/OODaoEBHeCpxORYTqVSr186eBl3/t\n", "WC8UINnZeTSdSqXZvXvVmfxrkJ8E+fU/EMj8p+N/OIALnUrJYv7vyAhwGMlhcvR+8qobP58/nOCW\n", "6Q+/jwFSVB7fGoGmLMyxYVYtKD7kTeifojYyQssMD20URJeGt6eeiZeaGT1EBaDTvMn44bhiYRuV\n", "0szpVB7v3gpEZ8OzX6W28STExiqKuJpxV+ZH2Yn753DlDS8RmShhewGvNhXo8IUyN2sIIk4w2jIm\n", "rHl7zZizNzFyCNSJWLGhJEs6Nli6Ra0q5BrHFqYleG6RQqna6LnnSfXqs1/Ol769jfs2fd6ofm/p\n", "I7kMB7ofYMuq25glJ3hLOEZtZC+P8jCHhEEEFZUcOdrjUd42Q/NPVOrs6WMbzYFiXh6QGWM1GjOp\n", "y5RIDk9gxFwipkes6RyeYhZd3Bh5WzZRbjisow+lSSvHOLbAFuXyF7450Xnn/c7kC8+qjw+eMHhF\n", "cU1R9X7kPUhlX80yE1P5ptouL5IZEQ2L/MV6Xspkzln14MwHzNRW+G7xVOZZ22mVtvzpEsSAZoRf\n", "3BkoP42ekq3NNXxzcNbBk9cMah1z3LE5TYxSRsEglEUrENU24Y18WllVewfZ6UmaZJL18Yz/lQD1\n", "LTdSfvYXDB+KM+eFhlQ4WpNTbvklpRPTgfiLjwu5cbWmfvqksO/QAwuHewaslUMn7onPUTR/eZVS\n", "iNUJ06y2Y6EvPFWTU5oVOFSoZ1Gge9s2Sl/5ClPrnvzCDYGjfZOKcfVpRsKZe9FPfnFBGIj6+z9x\n", "tthfmJDdVrdRTBaZnJ4Q04unMZeYfH18Q/iR259VRCFgpKz5d31nxb4bykfrC7Gi+dONorx6rVP7\n", "VzdoE33Tfs2YEcar5iC/+U4UXcAnHmRixxQHEIxSoshhzmeU+pmHo9MtmXLdu2Mdj33c63u8IWxY\n", "uaJj2QVnvWc8tXxxWnzsM2mna7DwvES+pqB0L2Th1NlERr7OrhYVzvPhgl6N6scNtODMBvqf+/Nw\n", "VM+JRxOP2oWJjCIKmG0SCUIupuPVTlbNaKQjsZE93mp2+nGKr1N5gnwjU8DfSsiXiF0bk4WXf48x\n", "H6Oi8f0GoC+gUqp8A9BfFaJik/a/hg5/wE78Af5KB5XFiApAhywAZuAwySSjHCPNXmx2ELANgx6q\n", "kf9SK/e6mJsYpYlTeOFefmu2/BPQHgT9y/DLRVJ6AJvF5mqgeD3X+1RqbK1UAPqNfPN5O5VdoW9I\n", "YU4m4fZv11KurdIvnIiHi1+uS/kvzCkfSs8ppnIu7SUfIUMCsoxGexS3fki2lKekPjktFN1WMS0T\n", "Ja4RJMPAbrQVr9ETVIFiiaBzWop/eB5lSQa+vhTnjpMwNr9IeOk+0m2XUfiHZG3jpm+UzPfJlcEc\n", "erXNjItLuBiLGFvUZxjUjhKNqsH/OcW0z212zfZJT9R0I5QulLAF+4cmxb87Eou/jQsKHbH6lCKj\n", "e+1M5Hu2aaefXvz0rMPxw++8IGev/tsjPus/EpbH4nyHzbwEfOb4/+UXN93EyhkzOO2CCwilheSj\n", "KNqt9Chp2izi1umcLpbUqOFnyw8oxxKSG1bBi93twam5AfWalbDwVyrdWps82NznhLmodWLWoj1M\n", "4woFTSIdLDTcUAhf7UkJ+WRJlj37xGj8ktHcA81Dydv643zv/o9x81U3cdbeae7do3PRWd70Pz5N\n", "zc8WGeGtq7ztgSpP/NYjqmMNneC94J3nvdV62lkQ29Hw4WVzSvc+3f0XwJf9gG3XXXfCbuMbC975\n", "1zy04p/46P9l77yjqyyz/f95Tj/pPaR3Qgu9VylSFRRBaQoIAgqIXUdHQwDBiiKCjaKgiNKkiiC9\n", "95IEEhJIIb3309/n98eLwxTvjPeOv7l3rZm91llZJ+u8JTnP/r77+e69v/vQAZHRFBREcPfwiBCf\n", "6GpL/LDsk23GpVUY3B1tXC5a5uYSFhNNddbu5kazn2VFZO/ba1EpAIB5UvJywenwp9qsqJtRf7B+\n", "oDQJ/aAWvchrdVzmFGvEopMzXI98u100a1Ouqas0SqO7jY/eMDsnfluvPzspqez+17P9vx/ziC3/\n", "WKRGh7PKoK13xDx5PHDQG6lue7Z7s3mNe63iYc0r8tM0VNrN3fLc8rTexxTZrlCKkGHIXfFeteM3\n", "jv/Bp9bb1y2iZrCpxsvcUGGkSbFW1VHXVE65towyryqqRC21t2qoTL8Pe3WiW+ys4ZZbtNch6yP8\n", "HWfzurAz0X5x9cgj7qLMldAiFZ0tn9KbldQoTuK88LJEEeURgvnWHOoP3s91I5CE2phXiUp3xqFK\n", "Mk9EyoL/AS74Av1QwXwgEPrDD6N8DhwYyPLlT7cBrv1foUt+zf6dALw/RTzLWnpwFTeuoecmxVgo\n", "4dcpjF9epUjZ+GtqhHeUFpvxt4D85+/DUCVkfxGTL7xzPU8gFk864Y+BKNJFLJVhZsINGhIrPPBW\n", "JHhWGWRNg1KvNDp1SgNmRwSCIKT2gtZpKDSIFk6Xdkq+XRxuCycTTfgIN2jSUlJf43KaHYJ4NHo7\n", "0l6KdO1Gs8gdOasBnHb2PTAG2yl3eoTu5fOaCoM5IcY8IeeWK7jB2ShWBsRRrCSwuOoIk9t0sI3u\n", "dV1ZeaTKfD4f3vRBjqtENIVjkYFkerlzROg4EJmKuF3BEuzURQV7vDa51ZAdN4ILijYmnvkJB33Q\n", "0IYaGJhN7oaf3eMG+r9BWt3Ln2JhDGo1gRXwjYzEeuECPr17Ud7zBhuPtuOR4gwR6OvyIjQmQVR1\n", "LLXeji01bdxuBwvYSpCDLQgfgOVgNws+nT7HGcV+uwfeJi8aNW3JYr9bR6dPYL62Q2mRuBgq5Za+\n", "KK7hcP09rai+0VITGRpL6tQdind2ZFP3HUO15kY380dPL2NgjSTjO39a2632mU2dXP0dlwwe1DdE\n", "PYO7ycXCjOWapHo8h25hdIUIz4geWXEGxRowOkiW7QOeBZ7Nzmbvue4M61MZdmoFj7oDfQ0Y1mnQ\n", "XAN6IOQ9QW3KzkT1zVs1fv2e4YmJVCwb1yOq+X2Z9/g3r/JATb79UjpnBz60OVng/gaXXXuDjnOj\n", "ErdROkeHurbas+0vXorIi/pwiV+MW58nLj/lHVGfWJDuZy9ZV+oZ8b0Up2fHcf+8QrYt6lZ5ckPL\n", "mwa7Ic+r3qsoKKZWe++y7fcHtysP/3puN3H7h1bSS3pqFYw0iCZ2ym+Jp4RJun5NVzTdvvbxdF15\n", "4KutbXNMNaFtW9fd9/RiX1f9uvYf9ajtUQjEOnEmSmRzLdoQO3ZbKS6PaoqxcZvmxmo5uXm9DE+v\n", "1bgU4czSK6e3d6rOTIvjnsshRNdrqGwq4LjpvKkuMDuw9WhldLAvvmXAx80o/n4mn4Wignln1KHh\n", "g5Gy8HfAiWbjx28oHjjwANOnr85B3Rn9Ep0fBJnzz1/j97N/IwAHhHBHzTSXADX8nT9MqEOIQ/kT\n", "IL+7QcXfZVu4C8zBqJHAn4NzwV+8D6SIGfhwgwHUMxotXXEnmACc+KLDheJWg6tFOfp7KtD6VyOv\n", "NwrXUWHQFvk4na5Al86tGWhCkE06REIFtf2zdbagiiDvlrWNhlY19Xg1KNadNuoXgoeLQHf3uChK\n", "Rpyvsiu4cxsDLRDN7bh2fI+otVI9o1Gbfx1aBQcohk4t3JraJ7jp28ZpDc4aB6vfb8lA3044PStd\n", "7xV+J2dOledqzzlbfnsGnxEhOINbcKvBjXWHotlxI4AEoD1VdOMsvXFhpjMVBHLDoOh6ejuNrnJH\n", "40GuEko2EZRysGMT9XsF4ycnafQ/JinwDRXAUcCmgd4Cgp6YiNIsElPp+9jXSqHTBJu0opcGR6RD\n", "AjaX3mUde8Jd1+l6nceQcvDVIo+Gutl+nmxzfvGKy31Jy6lOS36Ivkk0yEGaTNnXdUCjjVNcDWWK\n", "1jWMrKBXKEwPossne0zsO+90u3XNKTRODbJCIqslQwxDZJeyTo5cThjS783nO1Mex3YPtD6jHDbN\n", "DRzbNN9/Y5k2XYmqNSHm34N92V4+c6FxONDPPhXRUizql2r44WuT4wCD+jwgfzgDIthSa3jbandO\n", "9n5PsWoO0trnvPf3oxh1MZbYLoB/eM/8o8FtS3tmbm8R4RlWp41/5LzsMinjzM2fmndqO+lKrkaL\n", "FbVTMBE1OdeAmnS74BmWPqihd3d8NmkrJgeN9NDYfI1Heh8rv9ThkrvUynOPtCZj+TA6BrgRkPMJ\n", "DeIN2qZ/g31wfyHOnw6offu5rtKtwdM/oCLA7l3rrYu9J9c58tNdmtt5wjLtCWm5ccvm0ZWIjJJO\n", "Okflldvd73FaxXgGyKygpNqhS/dpwnveNrn5N+m1Bpe49mMsPy/rUN+QHvbgG+VLD8CfupZD1zI5\n", "349qhmu2vJ3jljPNrdEtIMTgpxhcBo3JacGXMgIow0KN3d9cpTkSX9OwvGd1WV0zZ6iQ4nq3M91y\n", "eh/vHeXe6B4rEKuBT5Nlct7vBxC/+P6fB2sihrvR+QDUksWDd1+y5Pe+/n/H/r0A/O71PPjLiPmv\n", "o+dw1IxzMX8C42cfVn/9/CPcBetiKaVdpAjNnWMSUOdZxuMiEQdt0RGGFd2d4iVJPU6cKP4uNI9U\n", "oJtZgAxywOFwmk4181FuKW09YhtsDO6b7gyZ1aD58iT2L/PRD8jm/Dv72N28imYK3GOD0M2QlwIR\n", "N9VOtB/pQBAdPKfjXg8NKNpwRA8/lPd209DustFwYYynVblXeEbG23XN4huQDm2T5bbZnr8+yidz\n", "R6LMvhmvCI+y80Y37+eeb7f0ZsIZ9tZW0j48EGfaWA7agyhE3bJ2ABy4qKUOX9zwwUU9Rg4Ii0i9\n", "91inRy1lVeHHc29VSIk/ADpu+bXDcuwmbT/tiGa53g9xMRJd+eV6J3gYQfYA2asVhbntCftmCxq/\n", "aFyuRB+tb4UvBXEF1aZwx+XxZ4kbfZ6oLrVw0guiFBwnRncrfM3/evSVqXrOftSFy6u6YNDm2h91\n", "HTYEcZuftJ6uL6LqD+2NpJ+uRGt1NLg8RSVoBeg8wA+jo3l1O4piz1Y7g+NM44+O97IbGyhyfMuF\n", "gd6kBWZxZkM360KtSV/jd1YcP9uESEbjWo+z2oxWq5DqZ6XCBd0qvQPN3SdXaaZ9O6zCWd7JE0Qx\n", "4OnUOg3GxGwx9+MtDu82Dt3S9Wx+4QWMiiInpoiUtqhlnROBAqF1XSwx5o0PtkcYQluWOLuNOdPU\n", "9oU0HWbcEAink3IpKdbrUYBWGRkJnhM/6Md1r1V7HR+i69Uyuk9i9UB9dJlJGkJOXvxq6KXctGYk\n", "9I+l+bKh2CPs6K0vYV7Rk8ML5tAdkFYnH8zew4m1F0S4d613j6AG765zBlpaTB5Rpf3hi+i6D+Yb\n", "ZWbDLS93s7to0FSIMY2CBNybChh/I4ywcK+IWlvvl49ltJt+sVe9VZr0BimtLs4GebAdOAKcF0JN\n", "FkpVa7PDV4/ynPZ+Jh47bKyc0j286tqn/YLKTwca3JXqWj0iyI5RW4cXemxOq8GZn9esuqEgvNC/\n", "ya3JZ+DPA3dp0AxGffh/DBz4vSbi/Nfa/0Kgit79Aub3oFa43Auy6Pe49n/X/q0AXAgRjTolx8hf\n", "R8p/+b4AKJN/kWT8yy9VpIjuwKuogB2DpAo7RZSicBt/igijnitUs4NexHrHYF18lindCjHFV+P0\n", "tKETcFvAhQt0LD/IwMEuNPaWzTLeGpCz/a3XDlHxyXnCnC6+X7+VnQ+nMhp45AJUvQ0+e+CaA/YC\n", "Ds8kxoi+tHX4I6K8hChxSAZH4Xr9MrLNKrRyNgWF94bVlNtF3qqSqu6l2qYdb74al15SELrkiqO9\n", "wanTNQgnb+7se/mbQwMOPUAmT3GQRD8nMqQfSnpbSlDLKg1AM41CY9dc9Km30TeWUkwRJ6ghGGiv\n", "RROk12r1dsXRqEgOE08p7eiriyFu5wZErhXX+zUU+CqeUdnUEwE1j8EPobBtqo6BJnfmesegdBY0\n", "3VOD57O9cQ7VaOyPnJOmkZlSc1qBfKllkD/INhGy+JSv863WofpRza3S3PeM+P7ZForDUe50kafP\n", "kohcDUgvpHuQxhnXHH3fjihhZrcrS2obtHVfkCyq+PDjdk/UtAtOb/Fx+HVH/LondTqHtlBijxvm\n", "9k7l8Jc9/HNu1/P+sc5yZ6xL5l26ZHnrDY1lWrh0V+o0sukJl9kiEP5NWnmDBEV0cDbNaV3hMfFK\n", "o3gg1d25ibGWKr3ZsnLKd7L4SunuiLPYcgYy0bqZwqs3aO7vz4i4OPkTQIpI0aGCw6PZZD/gwnW9\n", "DTE40XUIoKKux6MnPVs/ne5c87Lj6l4TrcY9zN6HH6U4Ozt+bnR0LlLjxCUpLcrD8sU+ovadSHSN\n", "2z20ydtu1Q127HPp3HL2vdWXXP0TJP2hLQN9ytHOvUDJcw9RmeBPiFZwWgg54k9rPkVo3+hL/6kd\n", "eE+vIWzGD+Tt+YEWmrMag65C0T3mhCCXULZpWuQMU4b94IWX3T244eFx2zdEFtW4WJfh0twzoCJ7\n", "VCscei0xBw4M8Dh6tC8pKfMHEIAvNbzrDMSU9QQBYXMx1NoplDkRvpvHjbE2lHhm612O7a1J7edP\n", "ZTc3LJ5WTCKPqMYSguvr8bYraH3vrElQ80dngd2oowpvoU7D+m93Tf6j4S1/9kktajBzEe5ixb/S\n", "/t0AXIsaWVf9d7UNfgXAo6ijF0cIJJ12WBmEqlr2453XISllw51p7v1RI6xRqBnv9cD2FOY3A95B\n", "LXN65euJX2/OTsiephUk6+2c+uY7MvpnM94K/itA9zVcyYNdL79MQpcu3GvxIPi7cjRnS6C5HzKt\n", "HNEnwI+BBzozb+u+MnQcxsUzWGSxSBH9zQ42frqLPQ+nGu+twzP0ZIf4hpXRjXv2t0n1RNCDanxI\n", "RWJA0ooSPHFH4ER9wBUBK3p9xLj1VUzYBOJVKHXBGVRN5Qigr7s7AVJPQ1McbnRGwR299jLKrhM4\n", "utkwvAglG8DPk0HmahaSwLSO+eb8xY2OxgHdhgueeEoxPLlOS2s3F+PSYOJlPU0O5FpFkameYTkT\n", "6uoCodbz8mSd/fj6AN0tKbWVlOPt6yLarkVpaEk7r2sNPaw6t2N9wo4mDSvu/mQHl7HsqmK/2Fek\n", "jenonClSeAQnYSyiRwIJr01k4opH3VdsW+r+0NRufcptTVf85I3cBrN7l23ZX7eLj9c1NTBq8xgc\n", "BgcVbiVkVGczPahWCRtbUz9gSqW5frDU+hXpMvQ4owVkzu9Hq2vGcNPH+2wuX6qLztK19JCmd8fT\n", "3U8Jp98J+9a9yuGjLkyj9PTu3x9Xu3ZkVlbyxurV7JRS1e64MzD3IeAx1CTbKZAavdnRsd0jVxT9\n", "wYt5C/KLE8rB1psJbhGj42mzYEHdOydpOjiZJ25e57GPjjHmp0ahrHfrUHV1aZ9A38hqx4DJBxrD\n", "bYXu1JBVbcDo+SBxF13YLtfiGN4c89Tt/PTzLTYDB2WyzPvT6ocxwAeKZKl2AVu4zSDdVj6eZcEY\n", "6IVzfiM62ZcMurK3R07LyvVPVU/RKjLacr+b7orO4KwKt/90zG/BiPYDU3n55XfOAEm4uMRyCuTb\n", "xDdU0eqnFpj9X6OyzyiN5+kPemiPvdnX6RVetxLByxXXA52D2Nc9gIpHfakZYMPguYbpDXfWXR5q\n", "/iQICATKUdvfS5Jlcpf/jp//mq//X7Z/KwD/Z0z9UiWgacfduuxOqIC8FxW0M//0YBAiCRW0J6Am\n", "LdcD3yJl6Z0KlddQB00sBT5IlslNhjfEAF8Lb3+1jYq+NxmwA8R3kLoTNt3pVhgKdBg0g5rb8YTm\n", "WNFGeqOUNCKb+3N06i6Wtd55z3ZfqmnPlT5IeVykCF3HIhY9nM4zs87DlTAsH/bVeh0J09qq9PZi\n", "wAcX3jiQKGhpIgdf0tHihsq36oBDlHFw9kpGJsN9iyHtQ3Vb3II7Yl9oaYp8AIetOeYyDSbzTZTA\n", "C4h52dqcAdKjIQBL4uO0V/yJy4gmujLdw3LvWfP3lNYVo+2gVbq3CC3c/cbt0He7SM1AC44GC/p1\n", "eiyH7WjL1R2RUQ8hMQKt1l+4vGu6av3cGrm/4RbDlzRJ90hs25dP0PY7dzot0Ku8beMGdzw71Cor\n", "VlnEc4u49nR/Yl/6GsfCI4xde5mNLOd7KvGZT3KlmabWwlTe9VpsselmsyZbs/JA91L/cqoCKmlR\n", "kED7W0GEWpqceY2Rmqyhp2k84SXj7YHCYAnQ4O5SItqUaQJzK1weNdU1UfYy+5EWVQUfdtW3n/9V\n", "v2PR5PXpylldE+bKrzQTlVueIujY0O2W45tKTd8o1C3So7TpSOX1SmILi3BIySGLhX3AYeCqlNKV\n", "IlI+QG1O8QFMUX1znRWZAbGOBv2V4sazuRu49GBrJF+1q7ZMm43xnmKv23MWalZUn67R3/sFb9xS\n", "cDU/5tX/Gd3E4VXZfnMD4isK7n95R21oi+KEhr0EKzUIxxtgNtJk0GHYm03+5xfxz6qi9lY1++0u\n", "fgYOyWQs6j3IfHWJi2CtkdTndPh38+TM2GoCpBk9o8jUxBL77gCip0YJ1/HBQZoWN4Uu0lGlKRd+\n", "GKXzkLd37W7DK45GniEcE31Jo5N9CTblB3zT46lp+TJbrd18x+yZPcKjJtfH1e+NI1uSJqR+ApwA\n", "6UIIgZQyRaS4o7a4t0XV+e/CXb3/atR1uhW19vtGskx2/jZf/w+A/6438b9lQggfYBA8vknF6aJb\n", "3I2yD0spG3/loHGokfU3wHqkvAZ/2iLPAN5ATUi9niyTS+4cE496AQvwRRJUpKkJ1+Go2fbdugdp\n", "prSln0aDNtYP1+1anN4mvitp4I9yPvEKbJrj83zAZ/HRKPfN/aJfLr1mnKdl1wLEp10oPdCbOkMI\n", "MallOC1OjKi0yDn2E0cjCgPQ4IU3cJhqTrKfUq7hL+DhF6DHPNBMhMIjcAYDOsLprU9EMbYUpkZ3\n", "6SGsIM4K6X/d0z6s7N6KCFp4xZPt/gA7Nct44GaRv+ep031Oe2QlZLVsuiUSOR+O0GUu7XSTxBB/\n", "huVVocmUKO4gagRCgXNI9gOaPjCqB8SP1aF/vw/KykMGzUGNncLBnpfnbqqPT13fKk08L7q3anOd\n", "3BejmpxG/R86T7yR+3gDSxbqhYh+TQTkTDPVtVpiMLW76qE5fby02Vf6VnJTTIImu3kGac3zMNj1\n", "JOTE2fof6mcMsp7MfarXuduXp7frc+a5Hjze9pOKz1MneW0ddbLmuvaGh301bgOAkkG+xUZjXOXk\n", "cI84vwNe5vIbQZTiT6MRDIqjDIdHrq+sbTGYn+zBlFb8TERYlmaIpww7Jwc5j1k+q3Lphtu4eimA\n", "NtNexHo2APeNq8n58RTCKQkEjvngc3k4w1ue4MS4qUztCDw6O/OjjOzdCUv2vThE2FxGz1RcnGF5\n", "TVyH8svhnj37dTjWT/jLSsKD85yfdc7lmMhTandbZz0vX/zeHfenUTVxtlmCM94f4LNxWZtq7v32\n", "C8RTg8GoRwobpQ4DikZDcGkD1rRyjAW11KaXc/qD03wBHJHJskYIEaHRcvY1MwHtw0gfm80Xios3\n", "Yon9OT4kfvnGm/u6GSXzhwxFplU86zvc8zgPpBtrEhrr3GPItXrQoAcuag3KaR6g2vooodXHmRC8\n", "AW8ZiFUzi4LbCeHhO2aNEiEdS+qHLd8j3Pwtu4DtwD74W/9LESkCldqcCTyMWsbbhNrbcR24iiqB\n", "cQW4miyTq/7Sff8D4L/7TfyrTQjRCvgUleM6DsuGwjCkTPjH9ymEAXD+0qhzZ0ENQ1X6KwaeS5bJ\n", "V/7qGD3QQQMxEuYCrYGdGg2bvj2JZlsBi3bdoLWfmfrierQuyXpFchRV1ra93kV7HysR5bWdzBR3\n", "YM/1Vfvbl9Bn2iga98ZjahGIs0cE7j9mYSlu4CRqm3JHJOEUc55McknHTgUhqBFMMJBrguCvQN/Z\n", "QM24kbydDY/WeNGFELRuDoFVr8Ej2yytZ60iujC0oI29y3YrVpFO+mAoV9JEY8iLQ/j8k+505jKd\n", "OUk9lRhwmf0gHhOp12boaNnmfuwbjjD62RraBXowv6eeU1QSCgQkQemUFgTPLhQ+9t1SWf4lrNmB\n", "xiup9e0LB9IV6cB4Kzg2xMdQa9sgxjdUlwYsBxmZzjf3ryYn4ExgoOLnWS/OixB2NAsUdTZJSfMK\n", "8qLyCSlu5krIau641vKaUhZclvDh5hmppZm+/mN5a1005qLFxldfmTRxHa2tGcqPF4aKPFPUmpv5\n", "nG2s+/bdbFedVw0h+HVP4mTPU/Yv2wdufrDm1ijlD4jQae7GDesCxM/NApXK2g71oSXBnh7SonFg\n", "0HhS5TTisoM0n26bpnSpzHKcK6x2bkYan2tN3qvv46dvhW/BfHJbf8UbdS56odIoIepa5DBwuOK2\n", "KabiYuSqj6Y/7e1TXoMeh7ORRsvJlieM5mkXyj8PCdNcn9Oyogz/1jcbwjXCUE2LxjxXBJXHbHgt\n", "PEmvwSBmAGtmsbLIZCx7497ZmGeOQDu5H9rKQuTtmRztHMU31sVUp1npfTiXZi/uxxfoidqJfND9\n", "lHu2ZV/jwkVueITH0TgrjKF9fhyyvB3teigo+a36lR8e+vGu0XOSnV5b9yTDK8994tboNnrwvsG7\n", "e16JDw+hpHdzbtyOJ8vqS3WEgKZbfhR6+uEMbCAWF35yHvrGUe5NWecStG7+Teea33dDCA3tUSPs\n", "7cBOkKW/5o4pIqUjMBsYDTyJWr3T7s4rCTWQ+ROgf8zsjY6E4fYAACAASURBVJX4oUjN/ylM+jX7\n", "D4D/FyaE8EXdth6WUlr+p0/lFJHSAlUpMBJ4Adj997LlQoiRgOvoUa5Gt2Xyx+eY9+k5fPVaqqos\n", "uEm1BNITdYt4CTUp+8vPTOZLO27lhDwZdK7CjfqoABqf6sqIw7k07bpBuVJCEFnkcJNaijBjIw61\n", "Tv3KnXNcAcpwZ55vJL0eiEF7MgYy/fDQFqPzcqLYg3FqnFRZL1LiOEX0zMnIsWNZPHCgfF8I8Tpq\n", "dv5dXuNqeBPXC7zZHebJjj/60Hn2E+xTFDLhfO4kHuJD8hy5fXFOK+Bc+i1i0yFsjgnHfivOwEDm\n", "Fr/HUG0fHnC+RNPxGoNXy21223uTRNMeX2+/92fbHEM7Wupqwr2aqir9wy/YO8ho8osiyXeBDMwl\n", "1HxbRFn3RRt0N+KK9aktr8t6j3qX+Za5XjQTL878fObzbha3UEUowxYkL6iRyZQv8XmpzL22Qsxh\n", "zbavecz/tF+3vs+M/ICoqjx5YldveULbSxPWpahcV1V7bFHGltEvAOJzSmYWESSBBD+sh0JwPr4H\n", "z95XYyv/cPFWTrEn4tnW3epjr/TtW9thnW3uab2pRBtS2WgP8ajDy1wqAmnCTZplfV0ZJfo0Sswj\n", "W1TYHlxc7gjsUlmjTVVeZzjrhPpQ7Xvn/3sPENqsGekzZ7r3PHzoDXocrR5mwvSMFMpACTpbUJFj\n", "0oqjtsT7smcVlvPO8NfDfGZui9b610YaC4jAizrFj8riUppV1+ATHk/W0eHaLb16PGnTNI9kzZop\n", "zPH2w/jdEWTVOziGn2VffDXfAD+K+ViBbkgGzPl4zgtpQWnGozlH5NsGafePRTd7BON501wUSeTa\n", "1rT2a6trafJrXutd5J3N96durLn1x1ufomMFYI/OiX5pyldTooGHQA4KoiytIxcy23JVMWNtiwqy\n", "jQi8HBG60oopfr5+z9boDd72QiHIR42sWwDpqGC+Hf5MKvmuL/oB1X/uf3dGLEZzF9DbVuH7oAcN\n", "GHCc42+j9Zrf5vn/GvsPgP9G+ycAvAdqs8Gn/3goqtABQ+ttPLHyHIMXHkW4FKqsLoyoAzG2oy62\n", "y8Btmfwrk4Ni90seeQhM9RZUIR5NpBf5t+v4SsIhFnAfChF3znEZuCKlLBcpIoAmBlHIM3jSWROA\n", "0rMQJbiBU1ujOS1reZRmeFLJEXYTQC5RQvBRYSHtQ0Kwgpyq/p+EFtXhEqWU3w1aJ9x+fowJwEKH\n", "g5/i41njmc+bSxG9AxE86640lEbgyMigeArEPW7CMLU1H+xYh3urWCbyE9oDO9ne8nseObLWq9bb\n", "o85jys/oJl1sZ3lnyxWNbijW22fDvfJluFKDX/ltImsKDZ7NbsRn60rjL3mcbl3YqGikW1yQszGj\n", "hPO8TRIK3eczPxa1YuGrZJk8HaChzP0P7we/sLgbR6UX1qJDDAxt0LmLUb230cXnvCz4IUJ+LSal\n", "v6Ys/gT4w+5hmCbvJTATXJ++iO1wG078nEOZUcuD93qj73AIfa9KSkQBaf1zaXNK6bPygOj/zLa4\n", "VR4fOIvKwusJDaw0162ht3uC3u7CN08TWu7jKpfBriz8dVX4G7Uab/xjq0RAcIXifrPxlq7EddiF\n", "dkcmifufZ6k30DcgYOz3fn7byM11Wux2Dr74AvGWmrgIuWuAPqAkRK83ufBpXl4Z8eZ2w+iLpc6O\n", "3/PZJ+maF8yENpYR5yoizDePKAFSutDJRNKd7004VH8+sSbF8SotFYXHrQ4MS48hTm3DMv40mlGZ\n", "HPe2sQXYkcJ8i0PnWFisFD+2Xqw3LvZxKUFhinH6KLY7MhjLJh4ViMWdgh4Pnjeoidw9Ia6qGtlk\n", "FuaVOx/c6UhNSp2JUNUy58+f70TN9TyESh+mm7DseIBtWYncaAOMlWonJsKNTPqSyzg8GEELAhCo\n", "vHcgapfm5js+c/pvBjv8PS8USCM2/sBbvbnLrbdD5dqruAPmwJvJMtnyW8/7/8P+A+C/0f7/8mIi\n", "Hnjc5mTy0tPYFhwmwOaiUapR9rvASpks63/1yBRhRNV2eAIYjsQLmxeY6taiJk5PyWRp/ZXjQlCj\n", "uX5I+qEQQx6CGirv1aN78xRe84by06lIuiO5yWXS+JHu2NGjUkEbpGQWqrphNyFwQ61jnoKqX76i\n", "pIQLaWms3L8f/apVFNRW0n4emF8F8RaJmuVaBXefLCklW92q2HrZhzWVH1PafCLunOeIfIS+L/al\n", "4JlttL/lDx4h0C0dUoJj5WPPVTUFiCZD7owYyybNGK9K7/r6M13PXrze8rpfrXdtTJd8hG+Wd11c\n", "5gT92TF7TNfC8rAs5QequFZ4LmTFF11mZqAOrvgYqAPZR+9uH+Zo1Gra82NNHj0NzSjd9nHvJyce\n", "fHYgujWKtO43Ot63v6Bxojcmy/l6FvLOkPeZkxiELfkW5qeGgKWGvTsrWcvDTA03MfTCLqTdSf1z\n", "MSjLd+Nx2jcg60zh1OaXNWkv/SB/LNErfFoBrnH0PtrF1Cv+vRfecetWJC9t+Z7D9gaGKOj6O/A3\n", "VgQF11la+HuWlgXbK7MC9LUub50Ja4MR261j9G5b28yLD7aOK1q/s+7nJUuod3NjmFUhpmd3XIFF\n", "rewRlR3cfKpiyGxxw7595A5nn02dXhxx68Rrk8C/GmZGoXMVEPHkDZp3TSVJ24ibsJsaaQjMKx/V\n", "veJcp3cu9XAPqM22KySt2YHuD9loWxVSu+AQ2oG3uK6T/LCfQalfEvTaNrZ1WaIJvu3skssLw8gB\n", "JjAfG8yu8vL6jovnKzNWvx7jSPuudUAHOjgQuNJbp9ef6XYmpDCs8Gmpkd/JZCmzdjcPqsj0n358\n", "SZ/Epgr34UA+sMWXqh1P81Ef4BnUypMKIBgDFbSkhGFoeYBYOmDGQAGqdsovvPnPIJv+rjf+F75+\n", "J1qP5S6YL/xzmef/DfsPgP9G+/0BXLihRhnTnAqtFhzhwpLjdHQqfzr/YuBzmfyXi02kCD1qRD8A\n", "tTyxG6pORhRg5rtNblwf80sXmRlwgbSLFBHFL4Ct/gwAjlFMNge5nwoCGIl+Qj3VOb40OxdKvdPF\n", "ejZhIYsJqHrN7x48yM/9+3Mf8IzdTq+JE3lx82Z63bmfH4FzkZFE+vsz4cYNAoxG8qqq2Ncden8M\n", "LRrBNROKMng+SqO5j4qK/n19fYmyLOFT9uDeNJevK1+gRUwBneoMCKMTGqSBrWFt5FtBN3AvaxSv\n", "+492PrJ3q+5Kr4CM54Z4aDK0dQmlfpWVd4Yj9Nv3FX8UOUnLjjDSeXzg0Z+zRxwbpYHXWz039PNZ\n", "cxxPFR+Pe630cogBhIIaTR1rMy61JqBd3vRDfxgeags5tzW6OLL/E3w+/svVk/eO8d2M13sNFurI\n", "W5r2XPPunBrZU57cjRC+ZXA7woAm71vq5BSCD3rBoioqMtzw4lEMgft1tVfbOL28L+Fa0ZNFw3fx\n", "qE0xRv3YNEW3efDZo8Gel37Y9Q1LboI2HNHafb4sQp388gAwi/nsHgZjm8HigUa8HwpEayzA4EJ7\n", "rZTgxlKa+RUQ1rYeT2gvZk+89M1cYBvwmhAExsUxIiKC6cXFdC28LXRx7s1ocnOXFZ0qmb5zenWw\n", "42zloxyPK0b5th1yyp1l1jODxHeO0K9bgdELm3uN4lfjp3ELt9IstKQ06r7choiRNwIXZNa4bz2P\n", "xiWxDsvm5gsnCGhfSv1C4opPEJnUi16X103cmJmdkH0/MIH58ghcxmDocNLhIF9KMoFxL/DCYx54\n", "jLLr7ZOsJmvIrdhbJVqX9qUNp3akGTwcnwAdpCSrMtM/L/Wbtm6p3ya1rcnxWfiGK2UF6tD0ecAQ\n", "1CKAa6i71O4IYoBLBHONyeiYRiIJtAEOoYL5LpDlf+OZ/0li/v438b9tv8+XKgSqPvE01PFlZ+wu\n", "1hgXsYC74vQpwNpfomaRIrRAe+4Cdi9UMD2IuhCPoYpAjTNoGRG3If36kCF7SXnr+eMmHV0mbeXw\n", "pmu0RBXJOoqa9DnKcRRusJoKOjGUSn0rskwuurQroanAycLcjQTjYBqqBsR7UmIHpgITTp8mNzkZ\n", "y5EjtLPZKEStw/UDkmJjqRk1Cl+TiW0ffcRxGpn4KvR6ApT1sOsP8IodMloGpCmvzHyLSS9+3ei4\n", "ALr7cW+yIVMVA34iTHwfESEdjf6OVyr2GlYaHrOmjbkgvt5z3vhShDbv9c9dUcePYh9Rp7nZ51LX\n", "xK7dK1e8rWQ9B+z1sGiOb3r73meP0NKzgobRh2fuXd3oW+s1Y+ncVJ3QJHmF18rqW34ghRWYkSyT\n", "N6aIFL+52cu+fHNEn96G/Oa+epup8kllVUHIAyULq9d4b67b50XUgtu1dOHq51/NiGmnO1PTouJK\n", "qrc3zyA44g0WvEgeMY9X7/2YbktB6F04r8wRmpbLWl3N1KbX7B5B34GH0bwxhrLQL8mfUK9pv1fz\n", "gP3DIQVpLQ1nk+YfwORnw5YZyPu7E3g9pT/9gDWoSctnmE81qubHIh+ofhc2TVcjy971eAwoIJyW\n", "ZHxCNJfZz2ziOQ08dZc6ENqTJxmfmcHSMyc1geu36rA2OAh0BOW3ItJjFgV+HbE2nmXg7CzafJss\n", "k+2K0Dx2g+bL1nkOMjeZHLoHa84rpnCdJtceI/PLInU6f4cM7JOnnPPMc9TdzmFXu2qNQaHivhuk\n", "v3pYE17Q0D38KP30jf6FVz6Yujmm6VRyECdeBDQaIERKWSSEiJZS5oKa7LeYLG3zI/Pf8qvyu9ez\n", "3tNisBvWuftZf5h368NGo5e9O9BLSnohUYSGk8AJ4CStKeUa01GrvM4Dy1CHoXRBzWV1A7qjwUkc\n", "BQzHxChi6MhVvNmGyptn/X6+/q+x/68ALoQYC8xHTTB0kVJe/J/exP+2/XNfqvBDpRemoWbA11gc\n", "fOm2mBbA66jR8wJUysOJWoHyC2D3Q61c+QWwj8hkWQEgUoS5mQdfD0+gzWt9uBHoRq/KWjffvTfh\n", "cGFT5aFcDpY18jMqcGeiCkYN4wBvcpU29KeItjRowWPeaTTtL5L2eAVFThgJfPPAA6zZto2ewOPl\n", "5QQ//zzXN24kweHAH1WLwws4q9FwbNEiPEY0Z/LmNZS/c4Bam43294CyCvQSzsTD8woMaujBCPMM\n", "OmhHYSzarOXAxy5rfBk6k4Jyc1TU2awvJvau9S9RrsYXWD9KP1WZ7e/c+0HvhEcPhVw1hTfBORdS\n", "PIO182rftk+seGpLvzeOxPR+5bi/SGFmaEHo9OdWjWvmQOtbih2j0WT9aN5HXi/Ut7s25aHSQHud\n", "4ch3o8f1Rx0AnQF0SZbJ8v2QFxb6JJW8cjbNpDPatdKrNnD5IuebgzlB/gdnnhncK2Iz1e8WNEYO\n", "pnjz4sEh+8ZcdP/6xYr0qM5YMXH9IRvmreCBgXi9F+EbMOkfHGClWzs9Pb4e7lx+fXsPAamnRrGi\n", "6wme2PMkypLTaDYe0LoKlST5oQj69h39vlEftKRhagn+5W7IucP5/nogO1A7M0cBT8pkueNOjmES\n", "6oM+HXhNh/1Sey5zjq7PAb0R9CUID5Io4zjvYuUIkP5LVZSiiGlWByv7vmM0NOwIk27X9CXpTbcc\n", "GpwRvRHCn5Z2QdKBeOI/f413ffXY35zesUemz82uvYKsSu6krlt9wq8WeJfVB1Vndkiszm8WElNw\n", "NsJot2isHiLfkhWf7bG9W65U3CsvPXbGO6/TiYF9cohrdqLbeXElso7HKi7ELDqggvZ/6TEpIiTh\n", "RsLciRsmNqA2EYWhTu/ZEtCy/NDsayvCUSthet35GQ9cpJqzzMDADwzAiRa1gGAdUjbeGSEYwy9g\n", "LuhOIEZKOY265muA7d27n3rl7NmuKMq/eRWKEKIFakfUZ8Dz/54ALu5HBeYfgdXfp3Pwkc0MB/6I\n", "CuZvoo6UanXnd/cAddwF7EMy+c8Fc4S20U7Xa+XMEILxif4YThbgOJhD/bE8jpz6eM1o8vrBvDjN\n", "L0lOkSLiUJuGpgCVlOBGEEFo+GniVY59uY2XdJKPBPTXajl19CjpPXsyNjeXYX/8I4XbtuHT1EQw\n", "aqfpFdQt+hHgwvz5TKm7waKfduBd2oC2GZQXgPe7oHsQrIcgZbwO+5uPMHXcVJI8W8E733L7iyXv\n", "RFVW3M+hyJbzE6qZ/3USyx5OE08v6COcX3ZR1nYuJLTKzOB8T12T2ejyTtgsnUcK0InrSNMcvjy6\n", "6Z6QtOatWycMz75x6LN2FkWjjNA6tfi7GrCFXCzow1WfT3o3ZhztRNei58nPPRw176v+Uz9AnWc4\n", "CRiULJNPAFhqja8nN5/5urHKXb/lwe2M2TLm0xT9wjG2q8igno8Hjuj6JV3qFHnvDPLzJ/eoe2J2\n", "ZuzXT1WZ70lk9aaJDHtyB/7VVvQIxvA6n03c0e/Z5MuFa5c8kuNqtHUwbZh30aldpRxgK4/Ti0R5\n", "lb0lozGMCKV+8SdGTbsiT4/PCLGOJNU80o+DS+3ohtrotrAf9R/0xE2BVKkhFjUaf0Imy8o7Ymsz\n", "gFdhXDNYcLfEVQhBc1ozmXWcIYidWJAEoDadHQeOcZnqsjh+6PwZ0cPK47Qxnz2EjMw9tzNtq62F\n", "4ux9Gr1lPC+cVzC268GJ6/05lDhppG5Nji3pySE/D2mM6lRSf//Mnfrgp0rX42CYaxyJRdP9TdeO\n", "xNgzV3VKayz0aeHUOd0Lw/Mdl1vmSK1UznQ5PLyvSdvA/qG7Gy4mZfWTyb+OB79mKSIlFpVyfAgV\n", "rHeiJil/TpbJNhBeqMDcE+iJQnf2UUsKksv4EcQmqllI3V+pCd5pCEId5tAZGJWW1vrVK1faMXHi\n", "N/+nMQn+RRSKEOIQ/74A7gXoRAo1qLzmH1Ej4UXAVpmsbnFFiohB5aYPyWSZ/1fnCEPl+IYAg8oa\n", "sWxIxe9wLoUnb/NmeRMHZLK8/ef3yXxhRq17nYZaFfIj6hxNO7AKWC/nMxi1E/RxJNdRAX7KpUvU\n", "vvQShT//TK87nz8ArEB1fi0wIDiYR11WHvJzoh9uwdmoULwRzCNAsxR8D0LpS+64TXwK67PPYrJJ\n", "ap7fz+ltubSVIDj7ZIvQUw/zemx/V6tynIFNGHc25+rLgxmpVdj6wgnizXpePt7b95Wwwuqotz8B\n", "zSacWg9ytcO8gj9nhrsu3CXLjQ37died6dng0eAhfHLE/u/lTb9KEvLbkTbyXtqMHUj9DFd81DfD\n", "Jm1B1cp4FFUjoycIv5LLweN3ZIgFK7a7iQc3Pur77dgNjdGbo9L3mH7uOncMORtt0THZOwrxedlh\n", "18zifF5IpMf4QWHBQe1PBVz4jBKDJ95RcZgO9UBQz1qCAch5e/5LW+o6bbh0PaZEbH7MOV905WVu\n", "4sn3fMnXLKwwkubTDfPKGawvXOI2POTY40qE9kJIcd9TyvEgaut3ol3WiGeOBueGREhrT82leHxc\n", "6vjM7QiWAmeYjxkW1cMHQOUXwAL5J11soQM+B1oymymspPWdNdAbaIWO1OtTCekTQfiAAsP1/mX3\n", "tKw70l7rSDia1f7c6YgkSV0+zcccZELLLpyZ3YcjScOiNY3nGx3KsPJhF9vr2nTEqdsCzE9mvsvi\n", "zQMVs0kOm0WgbR8VpdOjvrpGq8hinXf/Am2If5NGLyp8awmo8rYWhRVpz3c+vyijZcbCX6um+nuW\n", "IlIi7qztMajJxN3AFmDv3aoQoUXdyfbkEoP5ggFsxIu2lDKOXUxnAzrO/lojkBBIk8mCxWL+P41J\n", "8B8A/832PwXwOxz2w6it8xZU4N4pk/+e+I0wAX24C9ohqJHjT8A+kUIRwK+WETa7Kum4Crotr0QV\n", "ul8F7EAV8EoCTsr5COBNBI+wjlVMYnBVFa0XL+bKZ58R2NBAIOqu4Ssp5TUhhB8wAhgpBINbhGF7\n", "zA2/wTk4tzhoXAZOf6hbBjGtQK6KZt9DG3F06UKfG1WcHruJyrQyhqFOU7EDXbkwzfelsm3MS69i\n", "cR/qn7jIt+1K5EwAgsVqWtB5y6dErv4Cz2+Wo7mahK3zfvRuLSlKkWPOnph6xqM6/nbPy7e15r5X\n", "ojTvnC662bHcGmcdw+3tPYlY4Y1yvQLlnUG8U9BpvheqUuQnwLYhH/74UPd5Z0ZIydjMPXHy2RXN\n", "fNqf87JrazoYC4ILXR0GXToyZ/3VAbrX2fDBt7ET/HK789iXG1xyHK4jHYXt4fQAj2rfcrluAA1d\n", "3YmI20DV/aPI3mXCSjTRd77nlnE3ozs7vEp/vL4Cq8Zb6WPabxvoCGJ+wcfY332Pr6YEMLFrON5y\n", "A99/OWvKguJz3mkt7JcNa1cfKVw9hvNKMQNqJ2INvIDXUy6qtwkCwzojiwagQ4NL0WIzKOxp3LRr\n", "LFk9AP+3UauRvgSWSCkr7uRd3r27lu6o5qmKnN3Q0GdfX2ZM6krI6oMcSq708Rkb1K+FNSPC5KFZ\n", "a59e06i/peGlTk75fo3wedydxqXvM/TGFkraZ5LJQAZWJZHkrkGzWiAWJ8vksi7JYlTXetaO2kHu\n", "vTcJECoteOJbHp6k8czneIyzPDXA6NntVC9TZmJmaU5MzuArW69c/e1edddSREoIam7gIdQI+ifU\n", "yHxPskxu+IsPbxSxfMvLnGEM3ph4ER0TSMONE/zCpSNv/1tx4EKI/agJuL+2V6WUO+985h8COCqn\n", "94sdllIe/gf3/i+1fwLAV6FKUC4Efvr1aEMIVN2RXwC7NyrY/XTndf7v1bGKFOGFmhSdTm14Fy49\n", "DvcsiJHJv8Iz+glPDOwhgHjnfsybDpORnIw9K4u2wH5gLbAPlZcficq/dhCCQ3P6Yp5WyoDQLDSL\n", "XPCFOkww4z3Ifwp6KknsNJ/CDXfu2ZTO3hm78Kyx0huVDvJHzYWsBXz73DDN6lZuZVgW5QOnEC2T\n", "sQHDOcxLPEyvjD2s77yTEUWr8X2yCOW9E2i8v8HZXeFmajABw2NFY+KqrroHz1eH9bBk1eukdPEB\n", "GcrTdF9xDMfic9RYnQS+tvKZZ2pvezyrb5PRLam962K3p894ekdXGw5t8cv8aIGvub3Sr/nByevq\n", "H3hnrmdGfC7RuTHykRXba9ZsS/NITaJky4eeEXPvWcZjBx5XTiYj5jyJ+GFx6/o5XumuSwPRrlnI\n", "+jdO0PbcS0SO/wxzySx6act494VUBi3ry4dWHc9vWzzo5hDH8XgnuvuDFjW4sLJp2xfUPlxKRI07\n", "azVuTGQHRUeuRz13/vHhO0REYcHzj+8wJgbwVMYcPPiOZ3mWNpaupE41sObYTpJqBzKmsRU+AddR\n", "Yks9NInn7mUG20a/BJdOwUuoQcNyYKmUNACvoIL7YJDZf70sHv1erLxcyoxzs3jUbMARbgz4cHLo\n", "IHNj8S2fp2xnNc5IbrX8I/14gh7A8lKCRy9hXMIVrszNJbdDe9orrWmtOHGuNmN+Zf78+UZgtZCE\n", "rtxFyqwLJJ2kx5utuIYPtTOdgsc2x7u32moa6B51q7nhbNezN071OJXsMDh++LWy199iKSIl8M56\n", "HYNKpRxEBfOdyTK59q7DCA0wGC3PoqELQ7nI+zhIoBNg27jxkfCTJ3vy0UfzugBXQP6D/o1/nQkh\n", "7kGlWX+x5P9E4L/B/gkA9wQa/ha4hTdqgmoIauOC4C5gHwBZ/Q/OK1AX6XTUCOQAsIoU5x6k9te0\n", "jEM4yjye4JmMRGwvu7i4+yeau1wUo0ZsG1G1vkehAnfAnXMWPh5Kz8lV9Iy2It4GZS1ctsDydLjY\n", "SvAxgYSwC5u9I6ZXD3D0w9O0dkmCUHnyJNSJ3p+gJqKmudlJM9vpk75CS/C9roFspycqn1vIZb5m\n", "OJliJtNHJBDlvZ4Ww4PxeXgujPmQDTvi+ezi9kRPc57cGV6Ty9k4188DWrn0KPRmB7qyRr4Pfo/e\n", "faM46ZcVMaDHF48oysyVnnNftDVVXAnzfX91TfG+vQFuATEhov/Vbl7HJm2l49YhjVEVevcvRx5X\n", "hhwcJNN7nXZkJhzXph7g1o9+rRPflRmUn3bJVz+hYdJGimtX+oVkaevtdr3DZ8kyZIdUzi24xPEw\n", "Lc9/8mr4loeeLUhrDi/37MHVL4fQRbjE2lVvjRk93rHTy4Zxpu/8WgeStz0/xXikFDrABUz04GuU\n", "7y4YqqvfeSwqJ0i/590nPm0vNXI58LaMpC21PM8z9EKtVvqy13JunSxhqflGTETwHklZU64rCkQb\n", "KDTBxT3gXqk2orwNrJSSyag6PMNA/k3EuyFV9J+QxBpg45AhLNy3j3mhhL40wqODY0TTkYDBQQ4M\n", "X9l/0H4gT7KXF1C1JS69KF50u8zlORVUzI4jLlKPvqmQwleP9Tv2Ef15EjU4e4n5yhofaqiWvr9w\n", "9W0UmLE0KXj69dqhJq86L/uu4T/as5tnfwe8L5P/tpvyt1qKSPG9s44fQgW8Y6g0y/ZkmVx51y1E\n", "C2AOUIfkNSDusce+yurZ8ySzZn2WhlqSeB7+VPFyGuRfaKf8b9q/kkJ5QUp54X96E//b9s9vq4QG\n", "Vb3wF8Buh7ogfkKtX834LbP3RIoIRJUYnQ5oUCmSdTJZ1YH4q2kiBuA+4PHanfT77hEM70oqsq3o\n", "gK9RgTsENWK5HzV5mgVgNNJ+gI5mKSBDbeiWKNjWKSyth2USqvEnmSaeYQGOkulcmbCdnEO5DARy\n", "UWtxB6G2/a9A3V3MQaVygiNr6LJ2U3hAVLiTuNMlNcB3wGcihXTU6psH9RoeuDIF34Ed0OSnos19\n", "n5fi32dHLV4fGrAPORYfXPf2rLy6/Q/hp+mMOyfJpTlnRQqFgPfzLdzvm+CM9k+8/zqbtiqiZOVY\n", "V/6NAPsncz6pRId+9NbRFX1u02aafSfnmnpx8v+xd5bhUV1fuP+dmcnEQwIECMGKFKe4uxUt7qW4\n", "uzuzg0MLLVKkhRYtbgUKheJa3N0hhCTEdZKZWffDGVqgtNTuLf/e7ufZX5J9zn7nrL322WfJu7Ry\n", "2tyei1Pr3C9i3FzwuG32fP+U2kkPXKoEurj2H+ZBLxJ/JAAAIABJREFUr+kx0S5nuMtg4q6Uzp8+\n", "T6/recUophuziKn/FM/bc9j3rrePoUe/5OolkyqdnvvJ4dvHSGkROYAf8cNotpqLtd2fN2r2ibv+\n", "DlympRsffc2Rwhf+3zMh7ByBwEeYMCYPxRZXTEuzK6hdwk5Sm61uuXYyOrd1Zz0nQNPQIy86AM3i\n", "rJwuNaxBrRuuJ8EtrHXxSYRmgI8ioeptyG7Wj4/WBLBlgqBLcTzx8mI20BTk6GtWmD96CN4AkHBN\n", "0wKASe/wTuOPjTkd9RxH00V39E3IVP7pY60fAfhQm1A5+fzqd7R3AjS0CQ95WNuOPRpYQCfOkJ0l\n", "XG5ZmO2LkCTfl3VI0zwu+mudHeFF+v2gVcv1LG1MZHiucyOW/Hju6zfpw+9pQVqQD7oJsDn61212\n", "i1h+9ZT/ig75ojtHn0e7lEZnx3SaXNgFEvJ34Pwz7XftnSLypzr6yfARuk3wKbDzV8bJn53j/1XX\n", "N1f5gzgJEKGDCKtFCBfhigizRKgtgvvvnlthRPE+ivUoolEsRVERpb9cX8VZuPAFEeFTm42wTZs4\n", "Xz0jt33AkUV3Qn4AuLzw7CejM9PlAZqYTaxd3JALD3LgeGRGBnsSm96NfoCHiCCdaSVZiZD3ST39\n", "A99lmcU6FFEoVqNYgCIUxRYUNVGMQhHuxNvYEMT9+tM4n5gBW6qvUVTLcTLlEAEoWqD4xnmfYyiG\n", "nXzMENWV+9tm47i9iQcCq1IwxR00VEpaNynfdf8ZOO5HcV4akyh12S5CeL05NGy7jsQr14iIeOwp\n", "S2fmTPLvSURApwCrBYvkb5F/Pori4wzjCowyj0ruOMfPusjQKekBgSkW8xDJ1dtf3EeYJSCj68NL\n", "GGQGuS+GhfnI3bvZRUrxVJ5xVZKwRuz1fbiwZpv9H6wmxZ5C0tLNyNclSDBBA28v7UxyjDl+zQct\n", "or7FFGUoTwKdOFypaqU6hZoVSnqnrzHhnoeHPcTkvcZtDK1RPEVRVCC/wH6HRvLD8tgd1xGJIQiF\n", "G4rlKM6iyPbK+vIQoe2uXbVl12VvCfiE6Mwz2ecxmQxO2Wo94f0OsErB2cqQmgOSZ1fghC2BaAmj\n", "0R/Q5RLAoUbkehRKOustc67YJz0y3JP02GUdi0TI/Mp4A1ALnco1EgMLqdhWGJhdUFT6tXki8S25\n", "jfrHpjPcsYkmt0PI2Pjv1GOFcnnTmN/WdUwiFBOhjwirRKj1z+5LvHFPeitA/NP9923guIpQQ4QZ\n", "IlwQIVKEdSJ0ESHrH55TkQ2FBcUDFKdR9ESR5lfm9hOhz6lTJeTw4UzSogUHXUw8zgrhkyH0ayjz\n", "m/OB9qQNYx9mw37HiIzPTHTJ/LQHDCIY5AZNpT0PHBmwH+rLIfeJ7HVuPrNRfF12MTFBBziIogiK\n", "Qc7/rTEFka/sl8zxmUrS2vMkSDaiYrJxcKVfGaFNA0ERi+KE87cFPMcTWZbCdd/DnhiK2P2JuJi5\n", "0J352Xta757MeD3Dx0QsO0+YrGBXqoHH82dyb8FCwh5HIYduYO26Vosp26CkaOO0TZQkcpRh1E2F\n", "uiwiKJTW36P/nQq1S9s/q948NYgO689TJOmjLK1shuGa+GY1O9aQIfEp6W1t8rS2rfi4vkRHe4vE\n", "YJcIbiTvNe+dzvB4hbrpP4MTay7zIPwEKadvI3f6UgcDMSNX8pEtxRB1NlfRsBnvZIikB4nAslGM\n", "2tMqX6vheTunPXogq0FOZjDfyziUzs5nVVxAE2h22kRKsj8OuYeIoNZdxoBiMIoQFJVQ5EWRQYR5\n", "IqwrV+6oBAY+lGcJjO2zg2fpZ2Abs5c1Salkf1HGhvFMytaSbQFpCCngSeKOb3DYe3NRYJjAewKG\n", "N+ipBjT3gPsXyHg6Gp/Uo+ayd22ehmQ5TqwIa0WoJPLywQK93KCCzIJbAaERUYxiEgrTr821mtY5\n", "F9H98BRGxSlUd4Uyvl26/nb0/zbwvyxUMovQT4TtIsSKcFwEJUI5kV9foL86j8KMojmKXSgiUMxD\n", "Uez14zGKfppfHRtL9OTJ/OjnV0QgvXjBwoNwXGCXgO+vzgnaUV963PEj+YYB+aw48QN70vqlMdXp\n", "ZM+M9WIRbmccyi0U51EEodiA4lmXrayIt/KswUoWoAhGsbn4IspdCWNo9WXEFF1I8sLTzO3RjF2V\n", "OxIZ7o4jT93aQqWJguIoinOoF75IoMZ6jaRzh5HwLw2hKyq0S/myTNenT85mavbBN5xvspqkMUNY\n", "9rAMyQc3Yo9OQJacJqXIfFJQzGu+lruF53MIKJ6DHI8sWFIUqg5QsIxLmYs9/HvIxGnvBE9NMyJk\n", "HablldKSqg3R5N0qWeNOtS8Y4wBbQkbz3cAJZrl81yxJ8a5i+5D7sgglSXwzgXEnFcrqNc5lSPtN\n", "pNhyMGjgcuTMfZIb9ucyY4mrtpRF1meEhXkakl1GmySDluGMO+43+9P/kkJprYrW6vxdFh/7sUBs\n", "WQaxDkUYipIignEoPy7ITqrDhMg+rJLIBufaqO38wlmLIir9DNYfuM/s27dzyokTpUWENiK4DNxJ\n", "58wziWz4DdZ7URwR4SMRvFCUQbEIC5EM5ry5NOFlypG6vQtnUwzcFAgVWCnQQXj5RP2KvroBBisu\n", "rVIwxV2gcEIirsl3Fuf4RIQboh9euong+fJ1KQIbBROHcMNKCR5T4ddP4yKCQhVXqEMKdUGhqv2z\n", "uv729d+zd/6XSs9v2cC1Kug26e/RiXL+lINDC9Lyo8dst0cnnV8MbBSLvIbtTMuFHrPdAQhv0oTg\n", "rVupLMIh2NgwN+9yi8I3ge+AYYj8sgqJpmnrYEgxMyrVjufp97EF9mFIjXrM/ckWr2npo11ZZDNQ\n", "46OmGHbmIRrdTh6O7vCcdb0PTw7cZ8mQnSQVfoDWxcDirl/gt/8ebZutw0XTuB2ZRIrRwTutLuPR\n", "9yS78z4jJV3tzs14dwd4hXYHvhKL2NG0EsAENN6f1A26jTMYlxcfFKOZZK3b8NkXM1W2T+v9PZ6N\n", "TSRZGmBO64VpcTD2LTdYse++HuYoFq59sJpnp5/QI2Qo2QczuLcXXqkTmLDVDbfm/Vz7+extufVY\n", "1V2lK6+J2HLR7hFf1NYTos0Gpm7tYu9V4hu719OEYLaSIfBjzaP7io+0DkP34bEuyXErJc/JktvP\n", "uE5LM3qDIENOlj7Z/njTnZv7FuTjOUcZU9KH1E29iVr+HdZBt7ib1p2s3z8k0/semjRZ3u3G1adX\n", "057jXNbCFO5/XI7Pn6KNKVbWfdvh3Karxmqd7Kl306IBDUnhCgkEr95FRGt3vPFAOMZIYJGmyIHu\n", "SzgOXAa6G8Lz52vgXoH10xYfNRvJAczbfJ1lrTcwqGUB3Fc05R10G+5WYGmRBZy8FMYHCB01B5Vd\n", "b+FqfYg1l5Ep148QahRqozvYg9Ejk3Zv5YPzjWTrLyuwa1oOB9raKPzSfU1n3wTNc3OrTWv252t8\n", "o5VzzmXA5yB3X9QhzazlJQuLeEplzFwghvHAdyK/jLZy8uk3Ry+Scg4YahHL3V9Rpb/c/r8KI/x/\n", "BeKfbv83haoFaVPRN+Sl6JvZrdeM8kT3qHdGz9r8Bvga5IKmacWAEBF5WlvbLStoT0bCuiKy5NW7\n", "9NA003swubpGP4cRt7sfQpmprPDPRHc9KhDQNG1nbsaXfczIZe+hjavOg3hXAtHT58PRyZY2dCrK\n", "Jwfu08sUyqPFG/Cv0ICoI71x6fwdSXejyIpO7bnG4GBz0iTGJnlx1CWJwe/1xHr7+hA/An+EHEda\n", "i+IeBiy4Uh4/PM5Ww5r5E7w3N26ftOni3VMlph0tbcqL2c0NrWtxCI/iWd5BeEX0ZFdALZ5oQaQC\n", "3mKRrgkpWseMn/BFQipZC6lCJxrRKHAPe6wnOfllz3Q989xId6PG06gr1icxMT7DK1pt6xpiLp1e\n", "k4t3fbWvPTLY8k29YdKO8A35GaQpLvafOSJjJett6gV+F3nGUfz7EifPtpqaqfsFB57Fbme9/cmu\n", "Xuu62ASPpas4aalGpUKpDG9WncnNmnOr4tesuRzCiMBneJYqxtzZ5dNWn9SseO5Fl4+aUkjpb8e+\n", "QKGyV+DIj+UMh7zqtU+5dugdigML+YZUU2O6rdqJveUcbNTnCon4AoM0xY/ocfp+QHO+PhBKqQVQ\n", "aG30+7k4sPgDTFl8qIgeWTRb58bWMgFtHULH9VfJ2Cw/i0wGlmlBJGGjPVaGYyINrjwABohiJ7rd\n", "u3YoGRoupWPpwly+V4Gjy9IQsw04z/Oi33oxkokOtPbbaXjgHMXrAF83WPTtNyW6n20F3ARZ8jod\n", "0vpqZbnHZk5gIpJE9KztJSK/LM4QpAW5AYOdfTE6netrWTr/Svu3beBvxWfAP93/b35WociI4g3O\n", "FcqIbqZpJoL5tWMgVzABUpFDv8CZG7ynwVdXwXrVTMqRYdhTkrkmQq4XcLjUaUffQ9mIvuxPSsVO\n", "3EQRjyIGxT7nJ7yGokra6QSXmk/qt015ursy9rbzeOI6kUjn+Ico6j93stpy0n91ZSLn1cCx7T1C\n", "UeSm2jgpW7eE2N3YKz7EyHSipRQRjrzsXrbAI/7bLzM6SnbMeqn+SuzbrpManYR97WXuhcRRWGCp\n", "5GOFCE/KLaa80/zgLyLsvMWRtNN4aMTYvy99ZQxjUrORrUg5j3Jt8xrzOkxmLX5wq8wS8Rh7xU9J\n", "7DIG65VzxsSIaKMjrED6VFHYRRjlfB6RJvcnMjNwsOzLUcVmNxHt6IWjgdHn4mhttKNUnVIOo0VL\n", "bbWeGIFSy4sgRXsQrmkcXLeOT0UIPxXMiDxDSE6jsM8+wZzUZOODg2syOTJ7e6Wk0Xw2Aa4KlX4z\n", "jW8k4Zo0voo2B0Uy44mmPoneo0je3I/DYmePGGgscEfg2xgz76KYgOI+mc4KiDjX0UgU97LO4vyu\n", "W3xrdxAqwneim9q07J/i6j2F8/VWct7uIEyEwyJ0jUoiDYrSTjnbnaaaYc99Ll/TsfBc+u6dwqjE\n", "/VQJi8Wry2vWXx2BkDg8P57AuAUK9UyhxiuU92/pEApPFIvowiPSsBXnix+dB+gXjnqFyqxQSxXq\n", "iUJ1/rvt4/+ZUP5g+//9BP53Nh8tVuLw+QlngKZl6wHzWkE9gwtJ9okYCwxDw8AgkIUAWpCWzmyj\n", "+8ATDB91BK8FJQm1VMM31YiGnqY8VSxyTp9BM2+8xpazh6n18CDGbTmxp5q5luhgNTrnclVggVjE\n", "BlrRvceZOulr6sT6E3t8BsZwW+biKyo8qVfyscunpeNc8JmQmEhb1sbmJ/cjmyHNRNfGgUV7b0ln\n", "fM8Y91HVVE8/dyIO3GdL6w3UjkqmiCgKAeuIItLuwzTTRHoC34hFFoLmt3Y3j9sO4XHxyyXTV6Oa\n", "Rxhhq1ZoyzxdNfdW+Yv6pRzc/sRkuqClttwpSVpOfDa1wvjFObfHwePymkaeue3nFZ9gwpMrIO9p\n", "QVocU2O8ts9ozdVJBVM77FkqTHxmMG3E1KdkxdBvq531F8SaK1uye98l3RZ0vPhFx3f74+qyh413\n", "rhAjwifA6vhHpCztR+GJFTDGWPlmZVLFwJLNr5TtPSzB+9olU3RG1zSl6z7qEZKHm983YVOpne/a\n", "FjVra/uQVK64pboVbr+yvXeNwScfN+9/abrR7FiCzoM9DOirKWwkpF/PzrnIpdaaU55GoDbQy81E\n", "hbGVOTeoLFk9XLABn7XfxLcrL7HNZOBo0hgOmAx0QA/f3AEsy/4Z5x7G8Dl6ToCgm2yWAD8opfIC\n", "E0DKgTYJWGIRS8pPC1DTMqOHqGq7qT36OOX7optjRigsS+HXdUgL0poB84lmIbOJROebd6CXNlwu\n", "IjEvjg/SgkqihzymAtV+q9LVH2n/K7oO/5lQfnf7XxHqc5zp0Ep1g9mddSrN0KSmfFNkPd0xcBRo\n", "BRKrBWkF0LmUW2SL5scl31Kmbz3cb6RH0DMmP/45m1PLAXQjnv6TLXjsicFhdrBoT3amieU59wY4\n", "490bPIxh+Lj9FN1xCtdO5znS+ruioecpUdXFbPWs4rnS62lPTxY6WrPVd8nseav4KFuUyeugb7vE\n", "zF23eTTtFOmSJo1eOzRgJj88jecC0E4Uh4FTDOIyswicXJnTt9LSbFkx8qLInj8/a8LDKZT0zLNP\n", "a1ov/NZt7c0ELT5nvbKBBu/b1VynVl8V5z9JYnqcxf1qCH57rmDwWI7Vu6t71LU5rmluaUXPVrMe\n", "yI9eYq6hFsRJJiW5rl31EdoGSbZZjVZbo/U+q3c77p/IZso8+OsPXN1ybr04ur690Fda8SNFx1vL\n", "fFf6jmNDPqvt1HJJBDKL4OJwME17Sp/I81zvEY/35iuae9ONzTymfHay34L1EZ+v+TbRc0z39Gvf\n", "L+/T7WCdKl+1YH3D7zMk72yZP7U2FelX4GaBYZUOV8qXwROHf/bYXpH78n5pQWUEBJFQLdMFoXVj\n", "8Ls/DRj7nF8HQAvSsgHdNOjSOB/hn9TG9o4vWR/GsCLPXGqnOvhWv4Z0QBt0v0omYOWs43w/ZDc9\n", "0Ou5RqEXGFkJLFNKeaDTQryLzji6yiIWu3MRGoHRQG+gcxAqGAhQWHbBb+uQFqRlRTcPOUjlIyaT\n", "G72OZW1gPbBA5Plh4if7eF6LWP500s8vMPyP6Dr8Z0L5V31WAQYTm6UjeeUu2O7A3Ts5aCN2vhbh\n", "ngg1UBhQ1EXxvTMsbRGKUyiSnCF9CkU6/Z4YRWgguukmQn7ghmQnxe7FWuHVcEa8ROibmMLtMXt5\n", "6DqR2KI9DJuOuLwX/rFh6L259JVTviVsQW1NSZmncJth6YWe78mWfByLqesScmNLnuSURGPqokXI\n", "xo3M/Ok3Kdag+FREEOghbpyQp0QkZWT7Ax9s8wowFJ3rI6J/f24+ekT7lS0/WFCzrKeMH0/S+aPe\n", "G0e4D3Xs6uwXJ9FcnX4Ee7rpBD8px0YpSbIdktfnw/EU/7i5ufpMEeGO2Jkiwk4UDjSbzJgxROKe\n", "eiaON45OGLLUWzJYjMmZu2UuEMR4+2P8f2zcGuk0mLjLFMgdazIkZRyiSfpM7tZa1BqtUCbgw6+a\n", "8djxDKsIt9de5ju/gV7xGXunO48ic8fKOb9K62OU+bNN1uAQ15mf5Wu85Ab+yfmNWpSWj2SGUEcb\n", "r31SpGVBa3//PjLAd8DdgWkG1nxpbXqEC4r9KHa8LtQUhQuKZih+yDePZztvcSYkltiss4guNJ+F\n", "r8iyoOihsE9E+LHK11RDsRfFHWfkUbBzzfTtkalHA4U6rFBXFKqpQv1s8oBKAg8FKv8RHULPexjt\n", "NOM0ca7tTOhEcA+BE+gvmt+dS/Fv0/UXdP6NOP87gfM/8FbWNHMsdI3A7fO75KQYV2umFTzQU9i3\n", "TjvChFF7aYp+4k5EN3d8gM7TEm22MfHRLB5kSND5a5w3HQY0j7/tscpzQmJXbQf58KYL92XFC2Oy\n", "Af0cQqfFZ7kxcBfZHPGuF3t92fFi9gj34d4ucY4KLkeM7+a9GVqyo+w6pzs3Z7kvvL5jRYNRNBm4\n", "xRZtTmOw24wxnyyNkM8+I8pqldwAWpDWCj0Nu5goPICrDOQJS8i9MwPX2pTHHrOCnMC348Yxb8IE\n", "jttTDdfinngVW7XGcbePNf6DFQ/Lnqk88Ko5W97YW7NOkTj5MLkdKRSMXsht3Dm/1pVrTa7zUZQj\n", "Q+zp6iWn12/zXXfGcdIWTF3zRLxFCV9YulG3/fJ7ZXumzZpS0GraXt/Vsa9lh5zWaPcjwI6Dg1SJ\n", "lFhKfr+ch56phPSqj+MHD0r6ri8R2oCGDjv2efOYluNm5tReLkdc7qR5JzVjRH9z8JQr2rtzK1gl\n", "1Uj/bJOynY41PPuhVmVXz0Uboh2xJ7MeetbBs1z12Ls3YtNZC1KPloYAquXzNXTOfbREVK5dFQNT\n", "XVJvGhyGLnOiZusZlUozo7NL1gIaiUVuvHapBGnvAj3SutOhZwmi1l7hnWb5eTS9FkOBLS8UgTCh\n", "26H3aTpTUV30l2UYOsdIBfQyfvvq7KpzqcyPZT7Q0OzoxG27LWIRNM0XiEFE/qgOaUFaGXRn/R5g\n", "sFgkUdM0E3qtzF7o5FXDReRvydj8ad63XddfaP+ZUH5ne6uFqnNDXwHuVORw7at+BYiMTLcSPfW3\n", "ixbEIfT09ivonBDd0TMvHwIjY6ZwwyeFL4BkoA6ikwktfK+Xv9+NyEmNMm3t5pI1NcaYzlGCLeIM\n", "39LKAoOAmrtus735OnIZIrzTt1nd+kz2cP/GubQ7bhVcjmpZhj7+lkMsr50Flz25mfVZHer1K027\n", "hGdew1xOpLB/TbXYMkE/puw7Hz2nRQvGAU1FZLuzZud5oKFY5CSatgwPakkA6Sc/QY2z0QEXnvRo\n", "z+SFC6kC9AeSdg+tdXTlXN+ibUeuv1yhjUv9mCQ/4zNzfN8aOxIfGjW2tC5EgznDsRLGWupg35+A\n", "2eM8cdwpnaak+bTDaHZ4E0/ZeCuL08+gaO41lxhZbwqTE9cn3XWxuXT+srupZbebdpuL6d6xjyve\n", "BLJOUGqC2cT6mteJ2bQKQ5ILpqwDcZWvCG/9rFvL7Wxf05rW7qVZb00yhGTMuzzdj+XahpV89FmW\n", "pDuznrp0b2LjURrOWB/Rz2u514J07p6l5s/0flq70z2fC6sKGptNunv5QXx8MWrR0a8IbSpnp2ZG\n", "m0fb21+UHVv8bPEiD9x8DftjPiI8NetzG3hX9JJ8HcQiO39t2TyK0ZqM2Ue11Zco72qiWJ9SxE6u\n", "QZzJwGfAEnjZ5uy8twk9Ekqhc+VMA8oBHTSHlrf8sfKnqh6oWsBkMz3U0MZYxHLk52X6x3XISdQ2\n", "D72yThuxyPmf76flBNxE5Orvvd/vmvNt1vVX2n8mlH/LZxW8IyI0brxJgoMDRITP5IVEChR1UPyI\n", "wuZMnKl6Lw2uAkEC4QLdn2fiKVT6CYybss+laoI9jWZPCTJeloe4iZ5G3EqEEyLcvRTKaPdJLPbv\n", "7f+sW9YuxyaaxyZsqdEo9llA2hRxIVFq6JhQZHaaa6rNPEb7r44Q8yy3l4zzVZIY4bYpPJyM6LHv\n", "jwHNGemyHcVEZ3ZiF4HYkObEZM/ABU3j6uTJDHc4WCd6tutcEY7d/j5nr61dG8aH3dActhOkLmxV\n", "P6V+6brzUJRynUjsjpucdj6rmQITxZOFse7Y1m7WoieZRtsdfoSKGzaBgfcjGO4xGfuGjY2k2IDc\n", "kr5bOinsn8M2lq5hU40jHSHnM6R8EjB4n9Is1qdRhk/zzsVRchHHAwdz0wGO0dVJqt8QWaOzAo40\n", "YLhtoe0XCZgkF8jHbYvessa5OC6uLGhdUJGIqRVIdhtDnDae0YbMhjVuZjdHH992kZfXFTgQH+bm\n", "6NPL/NScFjsf0DvHZ9z4cCMh++9hDOgeUKZC4R4yzH2E9Enf5weFyu585hVQPEEx/Hk00C87RUV4\n", "LEJ/dKqG2ByfkbTnDo+sNmLtDmbLC1FKL+mDwtuZzBWBYhqKNChyoQgyjDPcK1Wv1KORriMjx5jG\n", "/KBQxf6qDqFoh2Lbr/+W/490/SWsvBHnfydw/hfeypo/MPfmzTytOnf+iiNHKmpOxsLq6Ax0gein\n", "spNikctoWnn0WNqbQB9Egp10nEP8iOzRzrjS6lck0sOwhB8oRjf0U1c/4F5kEvMyTteyZbmffWzt\n", "3bUjA0ICfNLliVz/0d5lufsMjf3Rex1dFsBYRL5yntj2ovOZr3e1cWzlRgxbrq1I8w3tcIimaZrW\n", "BpgPjBCRL7QgrTPQ785ntM4ZzXwrpO9fBPP2Z7wzcSIbO3WisKZhRj+ZLUePQtiTEOZRNOGamylh\n", "QqRjVES9E97PMhde0mVJBTHIwWb5mbmhJSeuaAWOReEXkYq5XTX2t5pZjiZH/Cq3G7kveXWZiidd\n", "mUcYJYgK9iS40EBq1cjmrh084yD9okDp4NOATMaoAxJsrCrlCKm/cEfGDW1aGKuMPbSmS/zlRrnT\n", "khiXgkePeSSXOYdL9v54nV5Acv5YdrwPwbuhZjDewVYSKxTD7N6+eFFb77FRLtlr3Ins/FmqacQC\n", "QvrWI8O5AMKSbhFr2GQoUs9WL6xCmkIPSvY8Vfh2tgOuoy12t6rdWHopgObFAziytrnU1TTELcMp\n", "utlWLEoXma4FsAqYopRyQa+edBPo+mqBbOe6yYFe7GOb91QWxadwANj3ji8lB5QhoFsJzBoccndh\n", "BnDwVcI1LUgLRC8H2ADdqbkQvXJTJZcUl04lzpRoWflQZUOSe9K51TEjyj6zB/5pHdKCNO2PFn/4\n", "U/O89br+c/vvBP6veCvTQoQQET5xd08QcIgzZvsIihso2vOcdwK8BeYKPBFoLqApVEaF+kRhiTxE\n", "pX12TYuU8TySFFaJzrcRKcKKFBslTGNMHxRuWji4t3/vqLHGsQ8UqpdCeTjlWMEd4g7BKXluelNM\n", "QrEHRXbXsTz9ojixAuWfP0/0tOzH6FEO7ihyGMcTfj4jMxzwbCl8nz8PMQcPkmq3EyXC1rFj6efm\n", "RoAIniIMFiE46b7rqRVl29k24X45a7YMi4e7D3eUqluqMYq7KLqKCAplnE3/TXPpk3SDPHVTNZ76\n", "jOTZPq3SuATck+U840U4LEmEnGxGrOtYpNhYHzm0M42M6po+8atKHZ8EGcY5DvcuZ49/6mGPuO2b\n", "Mi9/b8fsXP1WbLlGTLZPkcuhNC/Vk/txLsR8VJfYrnVJERgnEH4AzrbEOyUVLeFxP46nN3tHDQho\n", "4Tj71Xt2q42Egd8R+tSLIV8XJdZrFAmGISTiTnBuch8dx7iIieaxwYM6Zr2WNh2ycCnh3b7FXmEJ\n", "Y15cmwqVQaE+VagIhZrSokCLABQrUZxB/RofD2lFOCLCNzlnU9DppGyHoqzvNFb12UHi4xhiYpK5\n", "aXfQQQTXX+iHzoGzC8VNFE2en5RRePoM8ulSq3ytW8PcR0ijrMOlaKOiTf5fnKT/nbr+KlbeiPOt\n", "APFP97dTqGQQYb0I10Qoi0Ijzw6haxlBcQ2txz28AAAgAElEQVRFWxQ/JzlAPYEHAl8JpFWoAKey\n", "R86l72IrLnvElctyk2ARbokQJsJkETJn6JWheOVqla8OTDMwZbj78GsK1ezFBAogrxHCtkG0wLsi\n", "gvOz/DGKfG5juDu1AnEC77/4PIERwB1gMgpDma6cfOjDw4dwvVc1Ik+c4InNRooI+0TIAeTw9SX0\n", "xAm+FCFUhHXSAbWSttZVtFmZRcvytL9v/+QWBVrscpqKxokICuWhUFs/p/fDaLwnCRxZn595rmPY\n", "nYRr9HbqrRdhrAiTJx4kbbZJRLop5KmrUaJvm+XeMX/70wv+66b5jZBzi9+TOxVyXJzkPibqyvp8\n", "8nmB3o6ZR9medRb2syFErr/C6DOZSP2kLFN9R+AI9uKSQAYHTI1FS3mM5kgdhv30soDhmcl8fZxp\n", "pMQ89kp4EkvUvns8tvaiwIM0fNukJYluo0mlEGdccT0+lKFnFSr6/cy1z7n54pj0MfE3nyGdRw4Q\n", "FxfrS2tTobIp1JcKFW7BMtpriNdop0ml4q+sJXcRNomwt9xiyjhNXi2cckxrmsDgJmt4fPA+cfFW\n", "YmKSmaKvv1f0RJf5RRSHUS8TqLl535JqWSfICLcR9obFG0Zn6JVhOuplwq23ob+duv5rWHkjzrcC\n", "xD/d3y6hoolOXPRUhKkPo3FD0RDFKXoXFAqulVc2bn+BVQJ3BWoqVKBCzVGoSIX69CkZuogrT+VT\n", "fhA7VtE3xu4ieNSsUDNP4/ca/zjMY5ijT/o+F0e6jqz6UqiYLr+MwJ2pcF5grIiAItC5CdR1H8OF\n", "wbWJE/QNQb8mVSBMgAgguiBk//Zddka6YdvxPpEP7pEUE8MNEeaLcFkEF8AdODtvHqtFWC6XKCbw\n", "1W1y3pvAuOBAAisMdB1oH+o+NEUbr+1Hp7fVFMpfoU4oLCtSMd4SGCBw3mUs03rV5/olCl1WqK4i\n", "fPw4hnEo9jOIHxmAdHYpK4k9XMVxE0kN0x4tq9E+ZRKjHU96p7Nu6dwgcX2rpvbJHqMdq3rVutlj\n", "G/bu2zgpImzJy8JN+UjwH8rm0dWxCxwQ8L5JtpzHSWOzaUhoc1/rBvDrQIf4wQVr2+MjzEkbr/As\n", "KolIESrYNBquLERy+mFYTR24hgf3W9DiE4WyNs3U9Ba+2Gp+SMyeW5o8DM4gIgwSwetF2SjUuwq1\n", "WqFC2udsv8A41hjKUPoANV+zroyif3FdaLSamugsiT9Rzjp9E9UrLOH7JWexxluxPophiwhFXloP\n", "ehhgZ+dJfg3K6Qtx6tBol9EZ+qXt981ol9HJ9UvWfzTKPCrtP69Tb6uuvwkrb8T5nw2ct8kupgWg\n", "hwbmTkyls+cUMqPbuI3ABILsGxCDjlPTNKAdMBNYuYp2i26TZwB6wsZXJTn5Rf0c302iBzUYjAEz\n", "7sCXwIAhPoPfjfKL+jJjaMYKwYHBVx0GR9eVt1ae+AUaTfME9tf1Ify7WHIAxTSFA72c1V73VGo0\n", "v0rRr7cwxOiQL53X+ECBGD0KbPnhQEi47kmRiKJk9l6IXIvhxzJlGGwycQU9eqaVpnEMnRjJCHwo\n", "emXyDcDl6Yw4kox79HnP8wMKWAuU+bzP56di3GKi+Ji7yqFmott41wFjLShf4CzQ5Z0BLJi+B+3m\n", "1bGRdkzDusaoLpW+pqavG7fPzeKsa0MGzY2vRqB7CnUHHYWpOH60leHwlkqGLb6LpXEa6xfJF4Z2\n", "yV7lvin8enrb9wOXWEO9Ym0XeoovmuaXZCIky2AuxrmS9+EsNmdK4D2gXhDjevU1TB7tU9lhtB80\n", "3ZkmI8elYF+V2PWzlJGjjIZ+p+KTljYhxtNMgQbtyFLpPmcf+KItKYIjZSf2zBczj+ku3ZtfD7ie\n", "aY2syZmvoNHk1cCL3T1idvq5UxLdnzAP5NlzOQVpQUWTSZ4SqUWWOFfhnHbm+Bmjw+6YCsyUlxRc\n", "09C/inp238bQL88yn9dEs2hBWkDedPRrV5jePUvi4WXmR3cX+oJceGGMJzpvyUDga6ZFDiHZ7ycd\n", "CtKCsgoyTkNrAnwGzP5FHct/oL09uv7m9l8Y4e9s/7xQNQ34EJhpc7Ao7XSuxKUwCt1hNAH4Vizi\n", "+AknWg6cZcyukW/sOlrXB1qgOy5nWgaqhpTgM5rggonduFIeGBikqdvRaaI/cbW6lr1S8MqDx1ke\n", "dzq35dyh1yPSjMDmnDlxvTWX0oYZtOWA7NSCtMlAKbdUkqrdp+rmNUxxtcn0F677Crp18sCNIm5z\n", "Qz91wT/vDLSNWTi/qgcHbz2h9GORCqB9BniDdNE0rR96FaJyoscjL0R/cS1ERIK0oPwphpQru+rs\n", "ijtb+uwFpnIwvzV/nla0qgIoi1gWOScfAZRPcGF8wFDOLdhOmduX1K591fZVfNz40LHsabg46z3e\n", "23YK79XJGD44UoM7Z+2M+O5YUn4XcXd9z87xzOX4+IGbUGh/fGNzB9ewSxlJnz885exDg/vKfl8a\n", "y2Qhy572EuzQtLVBVSk0oSqaJix3BGEAul0jX/uHZN1duvJe9wnp3GIXbZYsIxjx6DrXT515Z0PZ\n", "QFtFTnQ8nJRstBcSi4RpQVr/ig/ooPbj3rEhOYKj0eQHvhobMvb0E/8nnyz1XpY2vaeBsAapd79p\n", "Q7s2hemMzt63HJgF8tD53CsaMGwrTemY6lS372Sn8TznfxCkt4j8nA6vP6j2wCfD9zD+42NMRA/h\n", "2/uLNRCkGdO5U+/JENKYjRwHufOaMZmAIBL8u3N4FNQZ7CYWJ3EaEKQF5UEPS6yBHpa48Lcq5vzf\n", "bv+8rv/+9p8T83/is4pAEban2rlQezkjUVx2ZsI1eNUZZMAm/ZgtAs+iSPPJJMYsfu7Q+jjjUH8J\n", "o7Fc4oGEYJcjLBWhod2mhW3vVX/SKPOo00O8hiRWrFExNG2/tM1+y9GETu7/edq0/JicTJgIVUR+\n", "Cld8jGJZgd48iDXz8SvXNQLuVGeb3CGD7PLDOqUPe4sVI2AC5EwHtiUwTvSqJ6EipAcqA6FZ4F2B\n", "WQL3BEo9v6dCGcYy9tIoRjm8B3nPYiS+BSn4aBzjohSqwU/zQ0aBZwKFz2bits9IQhUq/WDvwTFY\n", "uNprO3cjo9gWEYEMmEGqoTf2KnkbSL3i1WTRUYPj0TU/x+MdaU5Gmnzl7DtZxNNskjPbMt2Y4jXy\n", "wQSXcY75fSvFFB+e0dp4NVOc89VJMXDWNNr0DAvRKDwEPhJ4uoWGO2yumv3wfG+HhnZ4NKNnKFSC\n", "EWNNA4ao3AVzJ/n197uVvWN2o9MkccJ1LN1jzAwcWoVEw3DsWlWuVnevnr9W+hliLmoU9ywkMYTz\n", "KLxE56mfIUKECEtFKOB8/tmA711xvdWZzlf70S+mMIUvmDG/xoxBLRHCgg4wFp0wrPJf0iH/y0Lb\n", "+oKe0dni1fWlUEUUaqtCPVSorr+nes6/T9f/KFbeiPOtAPFP939SqKl25o76gQ2a4ip69Zq6r91c\n", "ocAxysoxysoSOm90ssFN3Nrlgywi9JQE7stlkmUkx6UOmWKDvT84+XnJ2IleIx8N8B0QWrhp4VjT\n", "GNMQ1K+wHb4ss2FubtyIjCRUhA9EBBRZnHbTFShONmxD2ufRKM5rMvjB07uw7QFZpR6fC5Dfid38\n", "ITyqCedEMIgea94VvZrLk9LQVuCowHaBlzYbheo7hjEJ9ah3WkToStfJQxlqG8/40s55zcCuVPjS\n", "+QJYNLESx7DwTaOijZqlGeyd3Go93zkcpK5dy7PAQGI+XkucxwDs7ctXllrlqsulYM36afMGSamp\n", "xH3sMVieZM8Y3xw36Vk8Y0jY5fTJMwMHJ5zd8G5y8/erpRSf6PPQ+ZuMDng8IVP909p4zYZisghG\n", "aUAbO1rEA9csVls/g+T1TXfEhGm/BUuqQvUGCmpoj7yLeycXbVj0qkJ5oSjs3EQDBLIcCmR3hi6k\n", "GrphxX+fpH33oHhWx6H5kkwvDv0sQ/xEGCP6y3CzCGWdL9/OQHg2sq0dyMBn3eiW1IpWbX8pa4qJ\n", "EDzjKHOc85f7qzqEoobTwXwcRflXxylUWYXaq1C3FKqNQv1mpaB/k67/cay8EedbAeKf7v+kUC37\n", "0VB8iaLWr2zcZgGLHS1yAT1kBFNFoZRC+YnQXRyEyzmuSw0ixUBrhUq7rMZHqz/OMNQ+w3/Ysfwt\n", "8x/DwnwU6X+nvFobjQTfu0ewCB+JCChMzsiDHc4ImPSvXKN1gx+jIU5gvjcxQum5guJ9AW0frPcB\n", "azbIIEImEb4oUwY34ER5WCwQIjBKXin7pVDZFSp2EIMSPPFsqVBThzEsMitZF7wwd8VScEX0ijMf\n", "Cdx2H8OXpglMTjPBGD/9BxerCBuHDSPa1ZV7tWrxbO9dEgvPQmpnryw1y9UUuw3HJO+RDquNuL2j\n", "q8lX2Tpsm0OBqHfRZIfH+zc2tW+ya2v3BvaLD41JHqPN0tu/d1anbKbE4vmFTxUfG+OxnwuhmQin\n", "BIom4Jbs8EZ+6FjpEbCiPe2fWrCEiAitaNXIF98IU0FTarP8ze4rVG5nSOaG578r2UijbqWJ9Rrm\n", "Ku5Vh8mSswxN0xQbHiTzIdtfXit4iF7H8b4IP4hgQs8N2A5cLEWpLQMZaBvK0JMKVeJlmZNDhOtz\n", "f3y5ctBf0SF0Tp6P0KmHN6DI/ep4haqhO5/VBYVq+Krz/N+o638cK2/E+Vcn+Bg9y+4CeoHTXxLt\n", "/LeB//kOZVMw3XpE4ONPGRhRmQPiStLPOL+imRTkosCubdQvo1BzJrqOjd/QtmninhE1mooIvJGL\n", "/CVZVdY0wk+e5L4IA3/6u2IKikvo9TuzvoIx4xU4eQ+sYVBDRCDTOWFYekGRwwYDKkCcLwx78ToN\n", "vigKV+x6zPovymkplKZQuy1YonORK2EsY1dbsBz3xPMh8N4LmFVvWCcwUCBUTJSuvZyHGT7GNmO7\n", "R+TmDo0XAj1NJsTdHeu9e8Tsvo297AKkeoFKUrt4bRFBgnyG2UctTTstIdRdzswuGvJZxj43AvFy\n", "bMfLfpccKyzmMWFxyTi6btZk37qcodY4c27RzT5Pu9N+ijZIcxgHE+Zw8EiEIhtp2tKWVXMk9HCX\n", "kfTOlY50my1YZDjD31conxGM2JJdyx7nksXF1jNNz4ghXkMao8f1N3rh2XqN9+4m77c2i/8w7kfE\n", "saxuY8bgRir1WPNLGeIi8nMZM+dp/EMgVENbXYpSsaMZHaVQGxSqwAvXpRPh2IJTHEAnmSr6d+gQ\n", "Cnf04tcnXnc4ccr4A4W6pFAb/uic/ypdf70+vhHnX52gFs5TE7qDYtqfAfFP97dOqOAVjc+KRNyS\n", "NtIkJojxoxTK5yecYBA9XO7ZWYpOUVjWKFTE8tof7o26n+axiB6r/QdlmV/TCNu8mZsiTPrp77pJ\n", "J9yp2PlewKgJfJQK4Z9AYgGn3RqFO33zCkWWi0CddRBp1rMFf3qRBMCg7BAfqZtNMjvtwPVexKNQ\n", "HyrUlQ/5cG13uocr1OZ0pKuGHrnyounmiLdebOCwdGTe3rucTT8de9uNzAwyjG9ZU6vR082NGKMR\n", "6dqVGyIEbLjCg4BhSIWa5eX9IrXF4cA+Ml+nxPK1yn8aesQ/+ebWXElX1udPHYlvfFEKSBLm72cy\n", "OHnI2IwpNjvXTswp/TAlwZQgwhLJzn3bdG1T47yN7zIGx6zNhCUnM0ehtK1eDW47ciEhaTPcWgEe\n", "fekb2Z/+MYBZobQxjBle1FA0xdXbNaWvoW9IgxINlmDhES8wDoJIUU7LhQxcEtgvkJdM1MMdG2VY\n", "9jtlm8l5wLptxPjoAz7Yb8ESpvTCCe/o43AXYfOi01zUdFNZwb9Lh1C/XVBZoQwK9dq0/n+9rv+2\n", "3N6I8++crAmw8s+A+Kf72yTUa+TrEYdnwkUKJc2hn1LOiicv4YT1AscEcivUaqVZBsc89p4iwk0R\n", "sv0J2QVoGvdnzeKaCAtEfsq0y4LOhxGF+tmxKJBdYJcDzlWGM+iscTivWc8YV8mbZrskQpi7Xnux\n", "1vP/94fO6cC+X7dZm9B5Nr5DpzR1Efkp4zBUoeoNYEB0F7rsUygjMAf05B0nbm8gPqkaC2QPoXvv\n", "EOo2iVjzRBqLCHPnUj9dOlKGDOExIPHxhCwu2+Xz+evTRxs/RMrVKid1Cr8vdgdxk5rXsTUqXX/H\n", "+SZFLiZFuUr0Q++EM40CrnpjkOH0272UDod3mSrZY5dxK+K2n5qednh46GX/JTKfBGlIytUteb7M\n", "0DNDaq6PsT6Lwla1KhmDGN8qNafREVkzjd0B++fQob4Fi2Qk467nL7SxjK1SxVQl1dXkmtKZzufz\n", "tcp332W0y+LXyNwo0F90R63yK0JdvLGRixUvvtB+Q8YaOndLKPDIHffvRjN6itMJPlc3YWAUYf7C\n", "09w3BhGCIu//og79G3A6ZfZGnH/nZNuAXzhK/tvAf19fTeuqt8j9IJo0tt3U+kKhPF8d84IyFxKc\n", "6fMiiDBc9GrhGf+E3LyAM717c02ENSJ6kpDT7n0OvYxaDRHBefLv69xERnnolWMOwU/XTEdh982z\n", "VG6RS+rpJP1bXpgrky/E9YbJzvF5nDb1uS+aepzJKV9ZsDysSMVEF1wyASbgKZDn+biaNflw3wrC\n", "JRz7vN2sctpwa4mQPiKCxQULktqkCesMBu77+uIQocnBSZVSRwwo7qA1jnLvl5VpLetIUiox0weX\n", "CutRqvn9a4Z8X9/4No8j+ESmS/bimqOO0ddWk5oxCjVmpE/viHgPYmQIiSurtu2pULdvdslVUNyx\n", "Sij2z9f6h6cZ4RF74C72dj0J8cIr1+Wy+eOSirlKKP5bBS5NYURIZzqHoseum0SE5gWb563uV93q\n", "qrmmvm9+/wfPoZ6phZoVavvatQlZBTYL3OhemCH4YyM9G57L4HfI2985dwxwsxzliijUC3qLJsLo\n", "+Sd55jKBENTrCa/eRh36N+F0yuqNOH/PTfYAl17TG74wZgyw8ddAoMeBPu9V/+kH8zYJdQLjSuyk\n", "zql4POx3yXHgGGX9/zhOsorg9ycWiAnYUacON+12dskL9TjRi0Eko2gmIgjkEzji7PmAQuhFkHOi\n", "Z/FNR2HzGE33fVSV0fQU4BnoGwB6xZdDQJDz/rWcZpnuL2JyOrSCFSqsOc2nAMed19cEJ+Og4CPC\n", "hPg4kpM/JXlgB6ajCPOaQhUR+tjthJUpyy13d1Z54z01N7msBQuQKsLDkLOZNrUpX19oj5SpUUYs\n", "jetKTBIya1bus0PydkqON7uPm/duL4cjhtToat7J60b6273xirRguTvWODapYGefDZKfO1KY8Ln0\n", "WaVQKwRWSAXmJCUaEg5fMzs2njU9/P4GVswEd/SqOzt1u0GWBHb6UWBIKOkjghif6oHHD+jEVEYR\n", "wWuIV4my+come+Bhz5Mpz6l0fdPZhnkMa/GrMofGAg8/z88PZCUFD75Hp1/9vbJv4tzE4+B1Kfh0\n", "mH2CWLdJhPA7UuL/VzbGtxknesnCF/fKN+L8OybtCBz9tcXz3wn89V2h8s+l757b5EyKx+NJND5v\n", "jMP9O3E6P6m/KFSIe8nJnJCX6Wnbo1PTDhRwERjtPHX3ETCgh+6dA7qicEUnVIrAwkKBRd/SQKCd\n", "gDNmWp9vDrCdAhhQDEBPxX/pNytUGucnfaRCVXVu+tmc1y/28mK4CP1EeCoOlh/IQewNWI2i8rh9\n", "dBf9K2Rf+kbspB3P8CaPCWPckJyNI6pXxyF68V9Dp6aVxbuDt5QpX1q6VWwo18Jw7DjiHWcJ6C+S\n", "Qso+qiTbl2pRp+aUSIm/75aSydM1qRWt9o02jX5Qsn7Je7ILDxlJhMONyANUmWRHKyvQQYRqVzfl\n", "iz05v1h0nBWpMpunBgMRy0ekt+3qXduuUP42DG3W0SJ5ER2+QGdxXPbCF0ynfNXzhfjhZwsMDIyo\n", "UL1CdHV+EA3762Wuk5d99mUhon0CCQUOAL5/YA2kBfajJ4yN/+UYas84SpzXFJ6iCHzbdOjPrfv/\n", "DZxO+bwR51+doA56IYFfDVH7bwN/TQdDMAGTUzDFp2KcILw5NvvvxgmMDgggOCqKKyI/x16jKIQi\n", "FcUCJ9buAjuFn09hwGRgG6NJh+IQipMoLke4MVjgkjt7BAIFdO4O4CPgFnnIgGIJigsocryIxxmR\n", "cEKh4hTqJQdauXK4ffghcSkp3Bdhpwjv3Yfh58H29HveFd3080CE5gYDjTHxiDEccO3Ek6ZFcidN\n", "q1MlpH59nun3w2f41HdSs7fJLuWKlpMulRvIlafI8cvcG+s6ShzfYU/U3Ow/lK8+LDnGnHqkV7mL\n", "U8aZ7D5m1y0WLHHtcrWzoTCLUFt2ECIaIYJeGkxEsNu0Vitqf5h0/0TAlZnHiOu+jHgvN1PyZ8M9\n", "5VMGKhHhAJW7z2SwPQRzZ+emu4TnwQCKJQGtA3YHEJAU6Btob5jOIu1YKXrY6K+up5IpcOZDeOQK\n", "N+C3N9vXrIUBgA29nJn3y/+n+IQDxPhNIxRFprdGh/70uv/fwOmUyxtxGvhrbS66DXWPpmnnNE2b\n", "/xfv9+9vmpYPOJSZkGou2EqbxDaeX6Q6/9+GoH3o7c2QEyew+fpSCyQSQAvS0gDHnL23c/gSoB4i\n", "D5zXlgO60JQpmDmB/gJ/Z+YuPk+bzLBo+CCJUcA0RCRe07TiwEzy0oV2bAb8gAo/F1SGIC3IiM5t\n", "XRwobRHLlZ/AfqP12Pc1T0eOBBcXOoPURcOWEcZeGcn9jLU5hr5p5dc0rjscfOnnTYuZmXmEmYC7\n", "+VxsZ0OenvDxIc55Rx/vwsGJfgl+RIuZqFg3AnzgvXdJ75Xuno0OGG7kfDfmyLHKLg+PZjuWrnqk\n", "T9U02bVUo7VuFFHzct7NafSJ9ikMspt6/6e9M4/TsVzj+Pd639lnGGPP2oKQMpYsRUiUFktaJS3S\n", "qjpRCqfzzHO0yEmppEKLkqMTImkhNUpCdkqWkHXsy4xhtvc6f9zP8BpjjHUM9/fzmc9n3vdZ7t/z\n", "Ltd7P9d9LSSygM8xbkYAfP7AZ1c9/1P/af+85uJH6/iSh60mJbZN0d6DPtvL5KLTnmkuzaWZThua\n", "TticTVwyYDdMEdM8eIiY+jbdN1XfVDrlkRTHn+rf/dvu4WwjC+A3V9zLcn1DVeeEQsOPYOCz5vWd\n", "ISKX5PfzoKpvAJdiatBsEpHrg7bOe74Z8Q/Ww1+9JL96ZR8sZwgnZMBVtaqqVlbVOt7fo0c/6hxG\n", "5HxM27PRQBNOcruo/EmQq8PDefvnn8msVImWoBsBxJUwTJGq3UCLA8X1VbOypwNecauPacZgLuML\n", "YABwaY0tfNBjJi5waxw0N56PuxCRksA4LmIAd/IJxtDdoo4eKGrkihsFjMd0Ju/iqLP0gNhd8hBX\n", "8tZXA0mKj+c50B84TyKJZVL6QEJrdyYFuBzUESESmNCwIQM2bWLwW/+hfdVZkU9vLbon6sdGyy8r\n", "GmsM+LQ1lN1GevreyL0su2k6GZrJ6h0Q+I2IR3dOCEl/PEyj66UWjTkvucnM1xu/UPnqvyssH3lF\n", "5g3XoYubvVU0LTwt9eofrs7+nD/FZdyJUjn4Na7U5G+3+IU7ftqfVKTMwFa8tqH2jl5v9CmV9Ffk\n", "iqgFLJggIqFpRLiTuCGpCNyRAkv8UBt4kwT2A7ckl0l+el2PdddLqSLMpgfrWPc9MNUV945c31jV\n", "TL/qINdkt/4T+EFEmuT3c6GqS4HKmFZ340RkpJiel4Cu7n8N1ad2YRswAiQsv+e1nFpOdAZuORZU\n", "1wDVUR2MauB0Dy8itcLCGPvllwRq16Y16EoAccWH8cWuB6qqc0Rtr9KEJFrwBCZBpFRYJoHF79AR\n", "6CWwCHgR3sC4VRlNBRZwN72AnupoQvC5vS5BPwDnA5McdUYfMtoF1E2vzoRbh1E2M5P/AVCXWXoV\n", "cZ2mknxHrVqPgK72muF+ds01rJk5k2cHDmT6mjX8cvOCZ37vNKrTrzujtMR3UYi4UqT1SL7emkJW\n", "2r40FRV8ASXaRyDkMQIh/kx23lAsULzEjqyokntbdRw1ZufswQ0z6/RYENphZ8zfGzZptxntvhlR\n", "fVn1O1xx40CTAAd4F8TnvZax4srwMRlJNyz5rFZal5LFe0WE8FhETNGXp44WihPZCPhyEIOmZxHi\n", "e5vufaKg+l7YEg2NgIEk8BfwkEbo6E3+96F+OKMZ3W0Xu74GXnLFfdUVNyTXd0g1XVU/Ae4G+niz\n", "+nyhqnsxtWmGADcBf4rIjd7WbeWK0AyIBb4CKZLf81pOHdaAn25UtxfEsCJSLjycKe+9h691a9ri\n", "lQb1WrO9CZwH3KGO5lopTnzShmu4k6upCLQAdqL8Y/EQQvzKF6h+BDwPfGt61D4HJbmA+4kHWqmj\n", "Y4LP54pbBeOqWQKUBroHb3+3vjy6JZ028fv5WoRZqqQg0p7JxN0/k1Y/fB2Z2ZGOo11x65QsyXuN\n", "GxP/zTdEAY379NF/ADf68DWJTo1OzBzOL2tCKQr0qFOWb35cR9GkHUkBAYpkhFP5LSTET2hWRia7\n", "1xfzxT6zO2zb0lKBiGL7v5r/Ue25F7X+i6u3RVRITmbfHTcsrrmi6ordmHUAgPeAcOAe7/EeoNKI\n", "ynMf3bKk9C3RpfeWSOpS5ObWnf4aUrrW/qynLmxX3I9/0y52Ja5n/fDtlHwEuC4cUndAZmnTJq8/\n", "CYwHxtCsHztjHkDulOmxxFYGVmNm2XF5vd+qOhm4Qb27p/yiqgFVzS4TGwYMFZFPRKQ4aCrQEVgF\n", "TPPKH1sKEGvAzwFEpEhkJD/07k3MvffSCfTnoM0OpsN9O3V0X67HV5Hz6MgY6rEJHw2B1SifvjSV\n", "RdV2sB14TkSqAfcBffCPgOh34B624qNBcLdxAFfchhhX0mtAPeAZR53NQYLLvF+XQU+24d2l0K5z\n", "Z1axlC+A98jkthFbpe4d3JEuwvhVXRIejY3lnlGjeDskhKagKwBUNRNoAkwnmWKMoztwZ3Qo/q2p\n", "hGtYOii02bEbfZ/An0PICoSge5YWzc6gvcIAABy6SURBVArJzCKmbIp/3YyKI+veP//SX19vvC+y\n", "X1pknTi+nP41DXY+NKmooh3MdWgW8BDQGQ70dXwM6N2xyhdLtq8osXrlN1XbAX2TNxSZ3PT2mf7+\n", "PD4fGDec4U9sZvPlLglVgLvC4OcNEFXNzH77sYXehKWAQsrFKaVe6vPS25jEqUaYu5Y8OVbjnePY\n", "DzGhhn6gHLBERDqAZgKPAGOBGSDVj3cMy4ljDfhZjoiERkfz1W23UeGf/+Rh0EkHtrnyONAJuE4d\n", "3Z3r8a6UoDULKcZGIqmnjm4GBsQnkdJ7OmWATqhmAa8D/YknntCuUL8VFKGZOrol+HyuuG0xRZa6\n", "AcWALcAnwYInX8TYVXGkjp7Gu0CLQa9yFc0oB7yB6q9XcVW3C0pH+ePHubW/+or77rmHjuefr45n\n", "XLLHCcN0lfgVKMUKlgMt5ydxff1ySHQT/KJK+60/8eZjzBu/GX9KVc3MWumTQAXJEp8uSd0e9UDV\n", "G5ZPnv9BfERYw3T54GtuGTsW/U+b/eE7L1r3OvCucWXofOAaE+EA6ugKzF3NGzFlU3qXqb057K/J\n", "Fz0Yd+mOxVU6rQz4kT6q+gLgDGd45O/8/gqqAVR7hcCbI03ThfYMoQ9jPoP6QwGGZoRlDEpISHgJ\n", "00hhkivuQ664p2xRUVWnYX4EK2Bi+F8RkdEilAR9EXCB3H3yltOCNeBnMSIiRYrwUcOG1BsyhH/6\n", "/frpgW2u3AX0AlrnNLJB+1RlP0v4Gx8Tqa2Opoor10dmcOvUEVQAbkI12YtaqMJdrGANX1GuE0z7\n", "guDC/gCuuI9gmjVcD6wAegIPOeoEzxQfeftyauwN4yW20a5yZX4vPohibGUb8Epv6V2rIQ3rNHn/\n", "w/ld7qE+0PH553VCLvLrAisddXaHhVHu00+JUUc3vNWGtN+3QpEIEH8W3/qu5Y0dJTZ9vY5AZF18\n", "EVv3pqanhW0pW3dT1g99Wg4vG7+5drn6m3T2fxpo6QhC69Th76Hvk3Lb1A+uAHZgZttkG+8D7OQV\n", "oGblT/ekl7lsc+r3z7XMDKT7uoRXSEuLrbmrTD/5Vw1VHVGMYl0mMen6UlKqm3eawZerTsQ0QIgm\n", "uSyM+xTM3c2XwABHnXEYw9od+MhbCD4lqOoKzIy/FLASk4q/WERuF2EEaMKpGttydKwBP4spWpQX\n", "KlWiw6hRvBkVpYOynxdXooDnMDPvNbkdK640JcAvTCWar7lWkzRVXCkVksVHE/5LWPH93ILqGhEJ\n", "A16nKZP5lf8RygRWfQw5Gp54M+LmQFOMG2A48G9HnYPji9TYUIR+X1UjJC2EYcCdfftSkivoB3R2\n", "SQj14ftiGtOSWrZNHbNnD+727bkab/DcJyISlpVF1M03UwSk4fo9xDYvxqZ9QLoffq1Ujhrzatec\n", "tYmssLr4Yvdsywpk+jKqXLuyWuq2qAtFaBB/3/xdcfW3p+oG/C/04/wR75FVqzTXtOw/ZQjwvCtu\n", "+UNeOxHhDaazhITdabyeGZL5UYPHZ6cPa/jgBH9MJlfeNl1i2fUqwBbdMq4DHT5PJnmgiDyVfQ5V\n", "3ayqvcAHq68GaOy9Z4vEFXHUWY4xrCHAr96awilBVXdicj7WY97DhzCut7EiUvZUjWs5OtaAn6UU\n", "Kyb3REfTY+xYRpcpQ9/gbepoKhCvjv6e27Hiyl0oYxnLWn7jVVWdK65IRAYfPTyH0FareArV6QD4\n", "eJKyRJDBHaxjAVtzv6V21El31LndUecvjAHwA28fHFTCgVFd2zIj4GMUCYSFhHDFnXei3MgwVDcC\n", "A7azPXUWs8YEAvqxqv4nj5fgSmA6UDIujkBEBElAzymrSOn6DkW+uBkQGNl6ItWWV6uUlcbqWVFk\n", "lNixK8IfllXcH5b1cWSJfS1Ad47vcvNLmhWyLS0uIvPqhmhsOFFPdbx0dYlq2wf6wzLfw/R8PPj6\n", "Gt/zTMZQA5h+03+JqX33wqLb/ih1y/pZFV6rfN/fmipR17nihgJUpWrfh3k4Q5BuIvK6iBz2vVRH\n", "U9XR3ero4OwQT0edvZhooKHADM89dUpQ1QzM+zYCE6XyIPAnsFBE2pyqcS15Yw34WYmETp9O57Fj\n", "mXrxxTxw2O09oI5mHXaUKyKuOMAL/I+h/E4W8BJAeCbdKu7hqpem8qEXcYI0lhqE8SLV2MNM9pNB\n", "W++LfkRccSsC/YAHHHWCNfTbG8q676pwOSZB7JZWrUiOieFl0CxX3JuAtp/wyQ7gsP6NOcYQshcw\n", "oVTp0ggQHlBa1hpPbPxfxGRuJxDt85FUZj0LL10YVm5LuZWfJeOPWZkWHhqZEb1+ZoUX9qwvGhvI\n", "9DXP3B86cXyXm4d8//I16b6iBJ56kog585L8iz6uTc9NrwJckHMWjolO6co2ek1dTfu9WbqxyXPT\n", "v/iwadfGYWUzdlav/aevbKWNzwI46qyMI25ad7p/CNQBPhORiLyuMRtHHXXUeRtoCwx2xX3piCGG\n", "J4gaXgMexpSnXYBxh60+FeNZjo414Gcd4gPer1WLjMaNuRnyF28uroRjGuXewEQ6s5SHgS6qmhn2\n", "L6kSmsUbH45nbpF0nvH2r8VeZlGWpfxEWaCjqm7OawzPsL6D6VB+MIlJpAVwV61H+RZhkTr6R2ws\n", "3bp2xQ986hnHYckk35tKan1M+nleVAP2OuqsL1mScmXKIMB9q4Yyre9kwp4oz459GQRCxEf8lE78\n", "esWvlN9S/vwJ60inFEKAPTcN/SpLA7Jr5+q4Nx1NWOmoM2DesPpJS0Zd+vC995K2dt/WGou/Le+L\n", "LL6/2z/T/t3VUWdDsABVXQKsZjANgH/9+yeim7k/lkQlbu0vlafXuXdeemZqqAMS6x3yaglKXABc\n", "i0lrn2JC9/KHo85MTERPA+A7V9zS+T32WFHjo28FlFbVuar656kay5I31oCfVYgAA4GLgFsgfyn6\n", "4koJYDIQxUpaMpfXgARVXSauhJROYcpz09l15TraopolrrRlPT+xlCzW0ApjvGfnY6g7Mdl+B7rY\n", "Y4zUiEyh65o47gfeFJFKgQA1WrXiRVcSApgolcEDGegDlqjmHjETRPbsm/LlqRIby37Wck+5J7j6\n", "lc5kLc5kXekyCALVf72esIywlPl159fcLGTtvYhMX6ruB8pm7guZs2neeaEYNwXAjHGdO0aWKUPd\n", "Vq3RNeVnVNw0r+xwf1jgQ5DQXHS8h3E7DH1/HnsyAlxbvf3SZ7/ree2V5R/auGPbthIhG+ee9y1I\n", "uKPODEedR1U1DbgLEz0z41gmt446WzE/ADOBOa64jfJ98DGiqgtVdfCpOr8lf1gDfnbRBxO9cKOX\n", "dHFUxJUqGGMxC7iVkfwDk04/BKDROj6ospNy3WdzpSSQLK70QRnCJ6wnk56qukVVfzraON7s+3Gg\n", "q6OO+WExWYLvAl+EOuzBhBV+XbMmT3ToQFbRogzDRMr4gJcxJWXzdJ94HDDgERFcUC6OLFqSNbQ6\n", "61KbEShXDn90DIT4A/iA9LD0ib6AD4mQmFHlCbCVcKAsyB8zX2s8BXgRJBqTeHQF6NLGjRk2T+aw\n", "5Y+STwNpwNO56BgD1CeBSjv3023MUqT5J581SlpQ9tPUbVERF7ZatWD2Ww3iMOnpB76LXjJNL+Bt\n", "cylz83HJBkedLEedvpgIlS9dcbufylBDS8FiDfhZg/gw2XnXgu7M1xGuZBu6/6ijvUigDsbI3q+q\n", "gXs6yK1/Fafzo7O5vVhvkoD/Au0ZTH/SSAM+yq86L1SwqaNO8Ey9C1ATE13xBPCWOhrYv5/76tfn\n", "U1cSLsNkBHb2/OXXYEqwHo0DBjzER8WH5hBNMrN7NKV8y4vZef31lPtuMsl+f4CkImVAWFBxbcWN\n", "xXYX0x6VCP1tKTGYNmTfbJhd4WeM4e7JAQMOjRrxZGp6ZuCnH0KSMfHmz4HUCBahqvuAkUA3dXT+\n", "tyuZmJ5Fj4hi+5+fO7S+XHLbHwsXfhwfHsiS8sCrOS9CVd+CwUAbjnWh0FHnS0zkygPASC8KyHKW\n", "YQ34WYMGQJ8G3ZSfvcWVTpiFqLvV0WHe03swfu/14krM1Av54M7FvHP7bczFZE5mMonr2W4Mrh5j\n", "PRdHnQOJNohciDFanSSBEphiVh89/ri03LuXuPNWNH0BGIWJE18vInFADczdwhFxxS0LlMD0zuTh\n", "bTQru4PA5UofjSWudU323XADxSZMZHtWZiiZdUIAVu2L3Lcsy59F0VS237iIkC+X0dRR5ztHnc8x\n", "PzBP9tz06nagnCtuySuu0P11Lo6aMn3rsliMkY4BJoH4c0gaCtwnIqFfr6BrRoCYwJev3PFTv2b3\n", "TezWthEqyz+/5bbHzPVLz8OvqAMwAeBDkwmZf7yInyswSTh5Li5bCifWgJ9jeJEm/8LU8rhaHT1Q\n", "ClVVV6jqt97DgZujGf9mI0ZifKqfAXfzG9cBiaqapyHNW4SEYIzeS6guwqRmf6qO7k5Opn+deOb8\n", "/lbL/sA3jjrjvaOaAzM8H3FeXAnMcNQJ4Jfrrl9Lqe/uY96cMjzLXpKKRFD0wgvZN+1ntmVmhFG3\n", "7jyAVRsrbCzR4ocW63dEhBZ7PZXAfePpIq7U9F6Z1cC/YsqmFMe4mhoD/DY/8/6pv+z3L/6+9M+Y\n", "zMvzgR+DjbhX5W850G57L01evZP/VShK/zcff3MSpgzuL7d/MXoR0AZ4EuSuwy+pMZgiU8f8mjvq\n", "pDrqvJcjWcpylmAN+DmEF2kyArgRaKyOLjnCfjcBrTP9TMJM/x5URweoo6qqIzFZgSdCX2Av8Ia4\n", "EolJq38L5Lx27aheY95d32NatgX7lY/NfSJSjRD+27cKWVvj+I1itCWUb4CiqnweKMeAjIww6tWb\n", "C6Y404UXL7t4WOyuYv61Wewb0Jj9wGRvjQDQt0EXYbpPXQGwfmvaxjduavXbRXWSHYyLxcVY2++C\n", "fdocXMzkyko82/5iYnwVd/TC+KmfcMWtBroOE5L3Gsg1OS9KVZeralI+rt9yDmEN+LnFk0A00Fyd\n", "3I2BuFIGc9vfBTPzbqbOwfopcCCp4/gQaYRpFnGPV1L3DmCOOroc6FG3RKVxsVurdgPudNQJLq7V\n", "knwa8HJsmA9MwGHDt3vJ+OsvylCFXTHFmQr4ihblQzoyJyPdGHB1dBeQsaz6sontv2hP/wjCrzuP\n", "mIgQXgCmiivnB53/gB8c4K+RjUbu2xEZYa5DXYy7JWcI31igtohUiQjR9Qq/3FiNZxMSEvyYyByv\n", "QqUuAW4FRoHUyce1Ws5xrAE/txgE3OplYh6J8phFzZ/V0TXq6NI89j02RIpgXCePoLrRK2X7JPAm\n", "SPHM/f6un7TqUhd43lFnycHDpCJQEliY1+ldcWOEQM2uDH+SCiygDyW2byfkjz9oxNfcv+hhNmKa\n", "bP8CSEZGOJUr/w1IDLBqQvsJYeU3lZ/eJily1TOzkX19WY7x008VV7ITdWYB9bKzKDXgS/z2iTbp\n", "QD+v0cEgzN3FQ9m6PLfPx5g7DYqG83afJmwGBickJHzvqBNUYlh/wriUJoCcshonlrMDa8DPIdTR\n", "9DyaNWTvM08dfe0USXgDSER1nPe4KRCBiUF/fNzdN2/ISg9ZgXE5BHMe8H4+Fk0btuGbHT40mhXs\n", "37uXIamphOzcyR42M/mCONoCyV5ykw8VliypBRCP50YBRt3yTePtv2xGPpzPg+roW56eqeJKGUed\n", "3d6+8d6YS1Z+WzUqIzVkHdDVKy97P/BAjgXNocC9YkoGTLyoOFnFI6kCtD/8MnSseW3yFwpqOXc5\n", "bgMuIv1EZKGILBCRqd4syWLJHZFbMAb7H0HPeqGDRC37stpTy8ZXL4FJsT9kwU1VZ6vqs0cbIpqU\n", "FuezOpMXeZQI2vfqxZi4OEhLY7BXn+RGYF22ItTH3Ln1wGQwrsIkQI1Zt+HSSwa2hJen015cCVVH\n", "B2BCKL8XV0oS5EZx1AkA0yY/3XoK8LyJF9elQAPPmGdfw3JM84oOoGk+ofqOfTwEvClubt1tTA9S\n", "iyUvTmQGPkBVa6tqPKanoXOSNFnONkQqYApXdUZNP0xxpTKms8/HSfPL9hx/b4fwQKb/TkedHcc7\n", "zF5iGgyh++P0oRPw6ZgxXFS7NqSk8AHIJZjOObW93X2oZBvwungzcEedbbu12PSb49CKkfgvKMbz\n", "3v7/BiYBk7eV2LaAID84kDjnnQaVMbHnT5inDq81Q9BiJqiqo9MwiUkJx3vNlnOb4zbgqpoc9DAG\n", "2HbicixnHaay3kfAYFRnBW15FBixtlWFjG97XNs7uvTeEY460453GK+AU6PLOi9cgKmUN6hcOW4f\n", "M4Y969bpfuA24POg2jACEjwDn8mBMD0ZlbU1JDCwNL9vSuEpceU8rwJgb2DC3HpzV5LDgGPCHJ8H\n", "eoAcqd3ZeKCGiFwc9NwzQGdxpfYRjrFYjsgJ+cBF5EURWYvpB9j/5EiynGU8hfFzv5z9hFePvCvw\n", "9oxXrxi5b3tU6vZlJbsf6QT55DJgbYdPvmgP/CzC9ogI2kVFsdqrEXMbeI2RPRmoj99/vwTgQnVY\n", "pY4O97ZNyNzt3xO/ie131GITMABAHVV11L128rVTgXCvsiIY10gJVxJSgC8wHXUOQ1XTMT9mDx54\n", "ztGtmLDKd73m0hZLvsnzAyMiU0RkcS5/NwGoal9VrYT5UL5+GvRaChMi8ZiwurvRg+3OMMWaZrz8\n", "2nOl/v7p/PaNe8x44JAszeOjCRKYgfnBeBV44LLLmBMWxnpMTHkkEJzG70OFjIwwMFmbB2bAjjop\n", "kdFpf7CTqFeu4UugubjSNGi7kosfHGiGcbU8CFLuCDqHAV1ylIv9ABMd88DxX77lXCRPA66qrVT1\n", "0lz+JubYdRSmFXmuiEhC0F/zk6DbcoYTwT4wn4seqB4oqZcdOhi7K3YYML7lS98vi793wbgjnOZY\n", "WNuk9/T1wBYRZgPdO3dmBqYF2O3A/3LURZegrkFzMX7wg4SxkjAqlI7WpzFJOm+LK8F1tg+JB+eA\n", "G0XXA+/DAd/5IajqX8B8THd385yJDHoYeEFcOWVlYC1nNiLSPNhW5ueYE4lCqRr0sB3mQ5krqpoQ\n", "9Jd4vGNaCg9RpIKZWY7MsakFIP9448lbq964PKzeg/N6nIzxHHXGt3zxh+sws+9LgWVNm7IfY8Bz\n", "uk/Ac6F4zMP4wQ9SmpnsorTnw/8c2Irx22dzBAMOGHfirZCdxXkYQYuZBnV0ESZL9rCiVpZzA1VN\n", "DLaV+TnmRHxuL3vulAWYD24uhXgs5yo7KAGqr6KHdQN6otbiWrMiiqQ3v/Hdr9ZgYsBPAtIYKAOM\n", "V9X5mLrYZTA9I/0cXpPVhx4yAz/UgJfXd+nHVqCyt4DZHXhe3AM9IOcCNV1xo73Hnh/cLQ+6HZPQ\n", "8+8jiP0SqCIil+R43gWaiSst8nnRlnOcE4lCucVzp8SrakfV3DubWyzZiCsXojS5aeKN19717cjd\n", "4UXSX8yt3dtx0hMYlB2+58V9lwGqcrj7BA6dgS8GqoBE5thnMWY2j5eR+iFwM4CX5r8Iz3WYww+O\n", "0UILkPgc58wuRfABQYuZ3hgpeLHxdkHTkh/sh8RyOnkM4YPHpn/8cMXG60MwERsnAbkIYzg/zLGh\n", "LGa2+04uB+1hZXaJbU3DVAa8LMc+Bwy4x3Pq6JCgxzndKD9ywI2iKZiKjy8dQfQw4C6RQ3801NEJ\n", "QNujZcxaLGBuLy2WU464EgPcC9Qrf/nG4cAr+e3XmQ/+AQzzjGYwZYCZoGtzHqCO/i2H9qnJdqME\n", "x6q/k+OYnHo/BWKDHidiGmJkMxToCXKVV+Pk4LlU/xaR2Rj//Igc46zKqddiyQ07A7ecLooB/dVh\n", "A2bB+9OTc1opjglLzK0/YxnMImZ+ODwSRXV1cARNThx15jnq/Bj01O9A8YMd6jUd+BfGt50bhy1m\n", "WizHghy+xnSSBxBRVT2je/KJoACqWJ0ngdOrU/oAVUFz1CiXCEyHofAj+dkP1SkNgPdAT6iMqyvu\n", "WGCso84obxQ/UCG32iZiGlusAdqo6uKjazxzsTpPPvmxnXYGbinszCL3LODSwOZjWCRdDMz2sjZP\n", "hEQOhhNiFlVzL0ylJrnpfews3HKcWANuKeToVNBluWwoS/7dJ4DuA33oJETFJHKIAT8qw4HbRMQ2\n", "HbYcM9aAW85W1nKEbMhTTA4/eN6o6jqgulcnxWI5JqwBt5ylaBLoN6d7VC8e/Cvg4qPtm42qHncJ\n", "Xcu5jV3EpPAsbFidJ5fCoLMwaASr81RgFzEtFovlLMYacIvFYimkWANusVgshRRrwC0Wi6WQYg24\n", "xWKxFFKsAbdYLJZCijXgFovFUkixBtxisVgKKdaAWywWSyHFGnCLxWIppJywAReRniISEJHiJ0OQ\n", "xWKxWPLHCRlwEakItAJyrXdcuEgsaAH5JLGgBeSTxIIWkE8SC1pAPkgsaAH5JLGgBeSTxIIWcNI4\n", "0Rn4a0CvkyGk4EksaAH5JLGgBeSTxIIWkE8SC1pAPkgsaAH5JLGgBeSTxIIWcNI4bgMuIu2A9aq6\n", "6CTqsVgsFks+ybMrvYhMwXQ2yUlfoDfQOnj3k6jLYrFYLEfhuOqBi0gtYCqQ6j1VAdgANFDVLTn2\n", "PbUFxy0Wi+Us5Wj1wE9KQwcRWQ3Us51FLBaL5fRxsuLA7SzbYrFYTjOnvKWaxWKxWE4NpzUT80xP\n", "+hGRfiKyUEQWiMhUL879jENE/iMiSz2t40QktqA15UREbhWR30UkS0TqFrSenIjIdSLyp4isEJFn\n", "C1pPbojIByKyWUQWF7SWvBCRiiLyo/d+LxGRJwpaU26ISISIzPK+33+IyMsFrelIiIhfROaLyMS8\n", "9jttBryQJP0MUNXaqhoPjAecghZ0BCYDl6hqbWA5JiLoTGMx0AH4qaCF5ERE/MBg4DqgJnCniNQo\n", "WFW58iFG45lOBvCUql4CNAIeOxNfT1XdD7Twvt+XAS1EpEkByzoSTwJ/cBT39OmcgZ/xST+qmhz0\n", "MAbYVlBa8kJVp6hqwHs4CxMFdEahqn+q6vKC1nEEGgArVXWNqmYAo4F2BazpMFT1Z2BnQes4Gqqa\n", "pKoLvP9TgKVAuYJVlTuqmh05Fwb4gTMu8EJEKgDXA8M5Snj2aTHghSnpR0ReFJG1wD1A/4LWkw/u\n", "B74uaBGFjPLAuqDH673nLCeIiJwP1MFMLM44RMQnIguAzcCPqvpHQWvKhdeBZ4DA0XbMM5HnWCgs\n", "ST956OyjqhNVtS/QV0Sew7yQ951WgR5H0+nt0xdIV9VRp1WcR340nqHYlftTgIjEAGOAJ72Z+BmH\n", "d+ca760bfScizVU1sYBlHUBEbgS2qOp8EWl+tP1PmgFX1VZHEFQLuABYKCJgbvfnishhST+ngyPp\n", "zIVRFODM9mg6ReRezG1Wy9MiKBeO4bU809gABC9QV8TMwi3HiYiEAmOBkao6vqD1HA1V3S0ik4D6\n", "nFnFUa4A2orI9UAEUFREPlbVLrntfMpdKKq6RFXLqOoFqnoB5otStyCM99EQkapBD9sB8wtKS16I\n", "yHWYW6x23sLMmc6ZVmZhDlBVRM4XkTDgduDLAtZUaBEzM3sf+ENVBxW0niMhIiVFpJj3fyQmqOKM\n", "+o6rah9VrejZyjuAH45kvKFgGjqcybevL4vIYs9H1hzoWcB6jsRbmEXWKV6o0ZCCFpQTEekgIusw\n", "UQmTROSbgtaUjapmAt2B7zAr/Z+p6tKCVXU4IvJfYAZQTUTWiUiBuPPywZVAZ0xUx3zv70yMnjkP\n", "+MH7fs8CJqrq1ALWdDTytJc2kcdisVgKKbalmsVisRRSrAG3WCyWQoo14BaLxVJIsQbcYrFYCinW\n", "gFssFkshxRpwi8ViKaRYA26xWCyFFGvALRaLpZDyf4J89PanET2uAAAAAElFTkSuQmCC\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hits_ = 0 \n", "num_needles = 1000\n", "\n", "# define grid space\n", "for vlines in range(-4,4):\n", " plot_grid_lines(vlines)\n", " \n", "vlines = range(-4,4)\n", " \n", "for pin in xrange(num_needles): \n", " origin, end = needle_construct_graph(mode = 'plot')\n", " hits_ += collision_detection(origin, end, vlines)\n", " \n", "# plot title\n", "plt.title(\"Plotting randomly generated needles of length 1 on grid\")\n", "\n", "print 'hits', hits_\n", "print 'drops', num_needles\n", "print 'PI =', calculate_pi(hits_, num_needles)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }