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Pytorch RNN examples
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{
"cells": [
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"import torch\n",
"from torch.autograd import Variable\n",
"import torch.nn as nn\n",
"import torch.nn.functional as F\n",
"import torch.optim as optim\n",
"import gym"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"i 0, loss 0.5208648443222046\n",
"i 10, loss 0.4238623082637787\n",
"i 20, loss 0.4141803979873657\n",
"i 30, loss 0.318674772977829\n",
"i 40, loss 0.33701789379119873\n",
"i 50, loss 0.25651898980140686\n",
"i 60, loss 0.23078304529190063\n",
"i 70, loss 0.15684300661087036\n",
"i 80, loss 0.1761147677898407\n",
"i 90, loss 0.14083324372768402\n",
"i 100, loss 0.165623739361763\n",
"i 110, loss 0.10230646282434464\n",
"i 120, loss 0.110801100730896\n",
"i 130, loss 0.09677600860595703\n",
"i 140, loss 0.07723300158977509\n",
"i 150, loss 0.09471429884433746\n",
"i 160, loss 0.10967113077640533\n",
"i 170, loss 0.06346316635608673\n",
"i 180, loss 0.06708057224750519\n",
"i 190, loss 0.08177399635314941\n",
"i 200, loss 0.07358382642269135\n",
"i 210, loss 0.06462273001670837\n",
"i 220, loss 0.06481217592954636\n",
"i 230, loss 0.060764383524656296\n",
"i 240, loss 0.06619038432836533\n",
"i 250, loss 0.07975935935974121\n",
"i 260, loss 0.08655133843421936\n",
"i 270, loss 0.050449125468730927\n",
"i 280, loss 0.06946719437837601\n",
"i 290, loss 0.07651466131210327\n",
"i 300, loss 0.08367384970188141\n",
"i 310, loss 0.06790168583393097\n",
"i 320, loss 0.04166187718510628\n",
"i 330, loss 0.03978893533349037\n",
"i 340, loss 0.04660818725824356\n",
"i 350, loss 0.05314682051539421\n",
"i 360, loss 0.07399619370698929\n",
"i 370, loss 0.049632418900728226\n",
"i 380, loss 0.04168626666069031\n",
"i 390, loss 0.03638932853937149\n",
"i 400, loss 0.037049539387226105\n",
"i 410, loss 0.03842119872570038\n",
"i 420, loss 0.05479593947529793\n",
"i 430, loss 0.044621698558330536\n",
"i 440, loss 0.029205044731497765\n",
"i 450, loss 0.06324867159128189\n",
"i 460, loss 0.051156096160411835\n",
"i 470, loss 0.024343622848391533\n",
"i 480, loss 0.02354446053504944\n",
"i 490, loss 0.021927906200289726\n"
]
}
],
"source": [
"lstm1 = nn.LSTM(1,64)\n",
"lstm2 = nn.LSTM(64,1)\n",
"\n",
"criterion = nn.MSELoss()\n",
"optimizer = optim.Adam(chain(lstm1.parameters(),lstm2.parameters()), lr=0.0001)\n",
"for i in range(500):\n",
" data = np.sin(np.linspace(0,5,100)+2*np.pi*np.random.rand())\n",
" xs = data[:-1]\n",
" ys = data[1:]\n",
" X = Variable(torch.Tensor(xs).view(-1,1,1))\n",
" y = Variable(torch.Tensor(ys))\n",
" lstm1.zero_grad()\n",
" lstm2.zero_grad()\n",
" lstm_out, _ = lstm1(X,None)\n",
" lstm_out, _ = lstm2(lstm_out,None)\n",
" loss = criterion(lstm_out,y)\n",
" loss.backward()\n",
" optimizer.step()\n",
" if i%10 == 0:\n",
" print(\"i {}, loss {}\".format(i,loss.data.numpy()[0]))"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [],
"source": [
"preds = []\n",
"hc1 = None\n",
"hc2 = None\n",
"# warm up\n",
"for i in range(len(xs)):\n",
" x = Variable(torch.Tensor(1,1,1).fill_(xs[i]))\n",
" tmp, hc1 = lstm1(x,hc1)\n",
" x, hc2 = lstm2(tmp,hc2)\n",
" preds.append(x.data.numpy()[0][0][0])\n",
"# x = Variable(torch.rand(1,1,1))\n",
"for i in range(500):\n",
" tmp, hc1 = lstm1(x,hc1)\n",
" x, hc2 = lstm2(tmp,hc2)\n",
" preds.append(x.data.numpy()[0][0][0])"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x122ff9a90>]"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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PANXA3RGxQ9InkuN3AFuBG4BdQD/wm6erW2ib5oKWvMdiLF1Y5saYmZ2BYkwlERFbyf3y\nz993R952AJ+cbd35wE9YNbOsyszic9b4ZT1mllUOhpS0Jo/e9iWrZpY1DoaUeMRgZlnlYEjJ+FVJ\nr/U7GMwsWxwMKamvqaaprpoTHjGYWcY4GFLU1lTH8f6hcjfDzOyMOBhS1NpY66kkM8scB0OKFjXV\neirJzDLHwZCitqY6TngqycwyxsGQotamWk54KsnMMsbBkKJFjbmppNwTQczMssHBkKJFTbWMjgUn\nB/2KTzPLDgdDihY11QF4OsnMMsXBkKJFyd3PDgYzyxIHQ4peHzGc8pVJZpYdDoYUtTV5xGBm2eNg\nSFHr68HgEYOZZYeDIUWtXmMwswxyMKTIT1g1syxyMKQs91gMB4OZZYeDIWWtjbVeYzCzTCkoGCQt\nlvSgpJeS721TlDlH0iOSnpO0Q9Lv5x37Y0n7JT2VfN1QSHvmIj9h1cyyptARw23AwxGxDng4+TzZ\nCPDvImI9cBnwSUnr845/MSI2JF9bC2zPnOMnrJpZ1hQaDJuAe5Lte4AbJxeIiAMR8WSy3QvsBFYW\n+HMzw09YNbOsKTQYOiPiQLJ9EOg8XWFJa4BLgJ/m7f5dSc9Iunuqqai8upsldUnq6u7uLrDZpbO4\nqY4Tp4YZG/MTVs0sG2YMBkkPSdo+xdem/HKRe7b0tL/9JC0AvgX8QUT0JLu/DJwHbAAOAH8xXf2I\nuDMiNkbExo6Ojpl7Nkcsbq5jdCx4zesMZpYRNTMViIirpzsm6ZCk5RFxQNJy4PA05WrJhcLfRMR9\neec+lFfmr4Hvnknjs6B9Qe55SUf7Bmlrritza8zMZlboVNIW4JZk+xbgO5MLSBLwFWBnRHxh0rHl\neR8/BGwvsD1zTntzPQBHT3oB2syyodBg+BxwjaSXgKuTz0haIWn8CqPLgZuB90xxWernJT0r6Rng\nKuAPC2zPnLM4GSUc63MwmFk2zDiVdDoRcRR47xT7XwVuSLb/AdA09W8u5OdnwS+nkhwMZpYNvvM5\nZW1NHjGYWbY4GFJWV1NFS0MNR08OlrspZmaz4mAogfYF9Z5KMrPMcDCUwOLmOk8lmVlmOBhKwMFg\nZlniYCiB9uY6TyWZWWY4GEqgfUFuxODnJZlZFjgYSmBxcz2jY0HPgJ+XZGZzn4OhBNqbfZObmWWH\ng6EE/FgMM8sSB0MJjAeDH6RnZlngYCiBJQtyT1j1iMHMssDBUALjI4buXj8Ww8zmPgdDCdTVVLG4\nuY7DvQPlboqZ2YwcDCWydGE9h3o8YjCzuc/BUCKdLQ0eMZhZJjgYSqSzpZ5DPQ4GM5v7HAwl0tnS\nQHfvIKN+LIaZzXEOhhJZurCescAv7DGzOc/BUCJLWxoAOOxLVs1sjnMwlEhnEgxeZzCzua6gYJC0\nWNKDkl5KvrdNU26PpGclPSWp60zrzwedLbm7n33JqpnNdYWOGG4DHo6IdcDDyefpXBURGyJi41nW\nz7QlC+qRPGIws7mv0GDYBNyTbN8D3Fji+plRW11Fe3O972Uwszmv0GDojIgDyfZBoHOacgE8JGmb\npM1nUR9JmyV1Serq7u4usNnlkbuXwVNJZja31cxUQNJDwLIpDn06/0NEhKTpLtK/IiL2S1oKPCjp\n+Yj40RnUJyLuBO4E2LhxYyZvBuhsafBUkpnNeTMGQ0RcPd0xSYckLY+IA5KWA4enOcf+5PthSfcD\nlwI/AmZVf75YurCeZ/a9Vu5mmJmdVqFTSVuAW5LtW4DvTC4gqVnSwvFt4Fpg+2zrzyedLQ0c7Rtk\naGSs3E0xM5tWocHwOeAaSS8BVyefkbRC0takTCfwD5KeBh4H/m9EfP909eerVW2NRMCB106Vuylm\nZtOacSrpdCLiKPDeKfa/CtyQbO8GLj6T+vPVqrYmAPYdP8Xq9uYyt8bMbGq+87mEVrU1ArDveH+Z\nW2JmNj0HQwktb22gukrsO+6pJDObuxwMJVRTXcWylgYHg5nNaQ6GElvV1uipJDOb0xwMJbaqrckj\nBjOb0xwMJbaqrZGDPQMMDI+WuylmZlNyMJTYeR3NRMDeo55OMrO5ycFQYuctWQDA7u6TZW6JmdnU\nHAwltrYjd2Pb7iN9ZW6JmdnUHAwltqC+hs6Wel72iMHM5igHQxmct2QBu7s9YjCzucnBUAZvWtrM\n7u6TRGTytRJmNs85GMpg3dKF9AyMcLjXb3Mzs7nHwVAG61e0ALDjVb+0x8zmHgdDGbx1eRIM+3vK\n3BIzszdyMJTBgvoa1rQ3seNVB4OZzT0OhjK5YEUrOw54KsnM5h4HQ5lcsLKFV46d4njfULmbYmY2\nQUGv9rSz9441iwF4Ys8xrr1gWdHPPzYW9A6OMDg8yvBYMDI6xvBoMDI2xtjYxLLBxMtmZ7qK1lfZ\nmpXP6iVNtDTUpvozHAxlctGqVuprqvjpzwsPhlNDozz8/CEeffkoOw/08Mqxfo73DzM65t/gZvPN\nV3/zHVz55qWp/gwHQ5nU11RzybmLePznx876HKNjwV0/3s2XHtlF78AILQ01vHV5C9es76S9uZ5F\nTbU01FZTWy1qqqqoqRa11VVUSW841+Rdk0toUoE3nsHMSuHCla2p/4yCgkHSYuD/AGuAPcCvR8Tx\nSWXenJQZdx7wmYj4S0l/DHwc6E6O/ceI2FpIm7Lk0rXtfOkHL3Gif4hFTXVnVHd4dIxbv/EkD+w4\nxHvespSP/epa3rm2neoq/8o2s8IUuvh8G/BwRKwDHk4+TxARL0TEhojYALwd6AfuzyvyxfHjlRQK\nAO95y1LGAh7eefiM6/7VD3bxwI5D/Kf3r+fuf/MOfuVNSxwKZlYUhQbDJuCeZPse4MYZyr8XeDki\n9hb4c+eFi1a2sry1gQd2HDyjeru7T3L7I7v4F5es5KNXrE2pdWZWqQoNhs6IOJBsHwQ6Zyh/E/DN\nSft+V9Izku6W1DZdRUmbJXVJ6uru7p6uWKZUVYn3XbCMH77YTe/A8Kzrff2xvVQJPnXDW1NsnZlV\nqhmDQdJDkrZP8bUpv1zkHhU67WUwkuqADwJ/m7f7y+TWHDYAB4C/mK5+RNwZERsjYmNHR8dMzc6M\nGy9ZyeDIGPf/bP+syp8aGuVb2/Zx3YXL6VhYn3LrzKwSzbj4HBFXT3dM0iFJyyPigKTlwOkmy68H\nnoyIQ3nnfn1b0l8D351ds+ePDecs4uJVrdzz6B4+8s7VVM2wTvC3216hZ2CEmy9bXaIWmlmlKXQq\naQtwS7J9C/Cd05T9MJOmkZIwGfchYHuB7cmk37piLS9397Hl6VdPW254dIz/+cPdvO3cRbxjzbSz\nbmZmBSk0GD4HXCPpJeDq5DOSVkh6/QojSc3ANcB9k+p/XtKzkp4BrgL+sMD2ZNIHLlrBRata+bPv\n7eS1/unXGu768c/Zf+IUt77n/DfcV2BmViwFBUNEHI2I90bEuoi4OiKOJftfjYgb8sr1RUR7RLw2\nqf7NEfFPI+KiiPhg3kJ2RamqEp/ddCHH+ob4vXt/xtDI2BvKbNt7nC8++CLXX7iMq1K+69HMKpsf\nojdHbDhnEZ/ddCE/fLGbm7/yU3Yd7gVgZHSM+57cxy13P86KRQ385xsv9GjBzFLlR2LMIR++9Fwa\naqv49P3bufoLP2JZSwN9gyP0Do6w4ZxF3PGRt9O+wFcimVm6HAxzzIcuWcW71nVw35P72Xmwh8ba\nan51XQfXru+c8YolM7NicDDMQe0L6vn4u84rdzPMrEJ5jcHMzCZwMJiZ2QQOBjMzm8DBYGZmEzgY\nzMxsAgeDmZlN4GAwM7MJHAxmZjaBcu/XyRZJ3cDZvh50CXCkiM0pJ/dlbnJf5ib3BVZHxIxvOstk\nMBRCUldEbCx3O4rBfZmb3Je5yX2ZPU8lmZnZBA4GMzOboBKD4c5yN6CI3Je5yX2Zm9yXWaq4NQYz\nMzu9ShwxmJnZaVRUMEi6TtILknZJuq3c7ZmJpLslHZa0PW/fYkkPSnop+d6Wd+xTSd9ekPS+8rT6\njSSdI+kRSc9J2iHp95P9WexLg6THJT2d9OVPkv2Z68s4SdWSfibpu8nnTPZF0h5Jz0p6SlJXsi+r\nfVkk6e8kPS9pp6R/VtK+RERFfAHVwMvAeUAd8DSwvtztmqHN7wLeBmzP2/d54LZk+zbgvyTb65M+\n1QNrk75Wl7sPSduWA29LthcCLybtzWJfBCxItmuBnwKXZbEveX36t8A3gO9m9d9Y0r49wJJJ+7La\nl3uAjyXbdcCiUvalkkYMlwK7ImJ3RAwB9wKbytym04qIHwHHJu3eRO4fDcn3G/P23xsRgxHxc2AX\nuT6XXUQciIgnk+1eYCewkmz2JSLiZPKxNvkKMtgXAEmrgH8O3JW3O5N9mUbm+iKpldwfhV8BiIih\niDhBCftSScGwEngl7/O+ZF/WdEbEgWT7INCZbGeif5LWAJeQ+0s7k31Jpl6eAg4DD0ZEZvsC/CXw\nH4CxvH1Z7UsAD0naJmlzsi+LfVkLdAP/K5niu0tSMyXsSyUFw7wTuXFkZi4rk7QA+BbwBxHRk38s\nS32JiNGI2ACsAi6VdOGk45noi6T3A4cjYtt0ZbLSl8QVyX+X64FPSnpX/sEM9aWG3BTylyPiEqCP\n3NTR69LuSyUFw37gnLzPq5J9WXNI0nKA5PvhZP+c7p+kWnKh8DcRcV+yO5N9GZcM7x8BriObfbkc\n+KCkPeSmVt8j6X+Tzb4QEfuT74eB+8lNp2SxL/uAfclIFODvyAVFyfpSScHwBLBO0lpJdcBNwJYy\nt+lsbAFuSbZvAb6Tt/8mSfWS1gLrgMfL0L43kCRy86U7I+ILeYey2JcOSYuS7UbgGuB5MtiXiPhU\nRKyKiDXk/n/4QUR8hAz2RVKzpIXj28C1wHYy2JeIOAi8IunNya73As9Ryr6Ue/W9lF/ADeSuiHkZ\n+HS52zOL9n4TOAAMk/sr4qNAO/Aw8BLwELA4r/ynk769AFxf7vbntesKcsPeZ4Cnkq8bMtqXi4Cf\nJX3ZDnwm2Z+5vkzq15X88qqkzPWF3NWGTydfO8b//85iX5K2bQC6kn9n3wbaStkX3/lsZmYTVNJU\nkpmZzYKDwczMJnAwmJnZBA4GMzObwMFgZmYTOBjMzGwCB4OZmU3gYDAzswn+P2TemYpkFjXbAAAA\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11e220e80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib import pyplot as plt\n",
"plt.plot(preds)\n",
"# plt.plot(ys)"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"i 0, loss 0.4845571517944336\n",
"i 10, loss 0.5398159027099609\n",
"i 20, loss 0.4202195107936859\n",
"i 30, loss 0.36465927958488464\n",
"i 40, loss 0.2206118404865265\n",
"i 50, loss 0.15366621315479279\n",
"i 60, loss 0.2699629068374634\n",
"i 70, loss 0.15163789689540863\n",
"i 80, loss 0.09090111404657364\n",
"i 90, loss 0.0818706825375557\n",
"i 100, loss 0.04155415669083595\n",
"i 110, loss 0.06265716999769211\n",
"i 120, loss 0.07479992508888245\n",
"i 130, loss 0.08010315895080566\n",
"i 140, loss 0.1611943244934082\n",
"i 150, loss 0.054431572556495667\n",
"i 160, loss 0.050887301564216614\n",
"i 170, loss 0.23663851618766785\n",
"i 180, loss 0.039492860436439514\n",
"i 190, loss 0.06412637233734131\n",
"i 200, loss 0.051135141402482986\n",
"i 210, loss 0.060713496059179306\n",
"i 220, loss 0.06083834171295166\n",
"i 230, loss 0.03556859493255615\n",
"i 240, loss 0.03277938440442085\n",
"i 250, loss 0.0492868646979332\n",
"i 260, loss 0.043893247842788696\n",
"i 270, loss 0.36991414427757263\n",
"i 280, loss 0.09016242623329163\n",
"i 290, loss 0.03585599735379219\n",
"i 300, loss 0.030166685581207275\n",
"i 310, loss 0.11414367705583572\n",
"i 320, loss 0.32632845640182495\n",
"i 330, loss 0.323738694190979\n",
"i 340, loss 0.18750955164432526\n",
"i 350, loss 0.08633401989936829\n",
"i 360, loss 0.154073566198349\n",
"i 370, loss 0.11877289414405823\n",
"i 380, loss 0.0494098886847496\n",
"i 390, loss 0.7248899936676025\n",
"i 400, loss 0.05315854772925377\n",
"i 410, loss 0.0398239828646183\n",
"i 420, loss 0.08530085533857346\n",
"i 430, loss 0.09167671203613281\n",
"i 440, loss 0.1212121844291687\n",
"i 450, loss 0.055330052971839905\n",
"i 460, loss 0.07956172525882721\n",
"i 470, loss 0.039061449468135834\n",
"i 480, loss 0.06272994726896286\n",
"i 490, loss 0.23951946198940277\n",
"i 500, loss 0.04147930443286896\n",
"i 510, loss 0.04379814863204956\n",
"i 520, loss 0.057786568999290466\n",
"i 530, loss 0.0681656002998352\n",
"i 540, loss 0.06150176748633385\n",
"i 550, loss 0.02603520266711712\n",
"i 560, loss 0.03189001977443695\n",
"i 570, loss 0.04169093817472458\n",
"i 580, loss 0.2622891962528229\n",
"i 590, loss 0.11008243262767792\n",
"i 600, loss 0.03606954216957092\n",
"i 610, loss 0.10880546271800995\n",
"i 620, loss 0.04926934093236923\n",
"i 630, loss 0.0639931857585907\n",
"i 640, loss 0.030242200940847397\n",
"i 650, loss 0.03617802634835243\n",
"i 660, loss 0.020713502541184425\n",
"i 670, loss 0.04568653926253319\n",
"i 680, loss 0.12000641971826553\n",
"i 690, loss 0.025216925889253616\n",
"i 700, loss 0.03822050988674164\n",
"i 710, loss 0.02112499251961708\n",
"i 720, loss 0.048149604350328445\n",
"i 730, loss 0.014323762618005276\n",
"i 740, loss 0.13361790776252747\n",
"i 750, loss 0.1097206398844719\n",
"i 760, loss 0.04156853258609772\n",
"i 770, loss 0.02721760794520378\n",
"i 780, loss 0.020120956003665924\n",
"i 790, loss 0.03276455029845238\n",
"i 800, loss 0.03265942260622978\n",
"i 810, loss 0.08394674956798553\n",
"i 820, loss 0.02549131028354168\n",
"i 830, loss 0.04826009273529053\n",
"i 840, loss 0.11087838560342789\n",
"i 850, loss 0.032729391008615494\n",
"i 860, loss 0.10564097762107849\n",
"i 870, loss 0.009757140651345253\n",
"i 880, loss 0.03094850294291973\n",
"i 890, loss 0.0648421123623848\n",
"i 900, loss 0.09238023310899734\n",
"i 910, loss 0.03830824792385101\n",
"i 920, loss 0.06453011184930801\n",
"i 930, loss 0.02637806348502636\n",
"i 940, loss 0.01932537741959095\n",
"i 950, loss 0.02883417345583439\n",
"i 960, loss 0.03337997570633888\n",
"i 970, loss 0.013403921388089657\n",
"i 980, loss 0.09262466430664062\n",
"i 990, loss 0.010090424679219723\n"
]
}
],
"source": [
"class Sequence(nn.Module):\n",
" def __init__(self):\n",
" super(Sequence,self).__init__()\n",
" self.lstm1 = nn.LSTM(1,64)\n",
" self.lstm2 = nn.LSTM(64,1)\n",
" self.p = 0.5\n",
" \n",
" def forward(self,seq, hc = None):\n",
" out = []\n",
" if hc == None:\n",
" hc1, hc2 = None, None\n",
" else:\n",
" hc1, hc2 = hc\n",
" X_in = torch.unsqueeze(seq[0],0)\n",
" for X in seq.chunk(seq.size(0),dim=0):\n",
" if np.random.rand()>self.p:\n",
" X_in = X\n",
" tmp, hc1 = self.lstm1(X_in,hc1)\n",
" X_in, hc2 = self.lstm2(tmp,hc2)\n",
" out.append(X_in)\n",
" return torch.stack(out).squeeze(1),(hc1,hc2)\n",
"\n",
"\n",
"seq = Sequence() \n",
"criterion = nn.MSELoss()\n",
"optimizer = optim.Adam(seq.parameters(), lr=0.001)\n",
"for i in range(1000):\n",
" data = np.sin(np.linspace(0,10,100)+2*np.pi*np.random.rand())\n",
" xs = data[:-1]\n",
" ys = data[1:]\n",
" X = Variable(torch.Tensor(xs).view(-1,1,1))\n",
" y = Variable(torch.Tensor(ys))\n",
" if i%100==0:\n",
" seq.p = min(seq.p+0.1,0.85)\n",
" optimizer.zero_grad()\n",
" lstm_out,_ = seq(X)\n",
" loss = criterion(lstm_out[20:].view(-1),y[20:])\n",
" loss.backward()\n",
" optimizer.step()\n",
" if i%10 == 0:\n",
" print(\"i {}, loss {}\".format(i,loss.data.numpy()[0])) "
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x1174326d8>"
]
},
"execution_count": 90,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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yVon+S05SLm1JykkHpaxkX9ba0YUPy9t7Cdi9h/33FOSo0N5L2Wd5Yfy4LzIM\nKWuAlJS581Hty+tLVqvn3j1WSfv8GR9J4k1z+jKlbGcCYMfysErGS+hcx2sQEPj8BOCZS5g7c6xs\ndzvxacYyWsIiFsuTyRaxuZ1Zw4vzo5GyhbMQZAXrWziTUpxkRAI7F7YLqiZwq4KTFQDYsX2sCAEW\n50aJywlSHnNnjhW/aJnHXVxgSdkjxCSEsPczXm3JwpxtbrBzXkt7y/lAFrFYnSmuZFfiXhw8rlbx\nqjAH+bYPm9jFBVWQo6yfz1wa9B4t42UlbQOQkbIcOeJkv+fiuY7XFVcCUKhWPO7i3Jbs61TKVHN8\nnpTZDuvnjiS0PIZaEaSTXFx3xsZXF/syWgnlHOhwp7IgRxcBf5cp7FOQIx5j5xJrq+0ZUmZQPfXE\n/3tM+/LWmpGyl+0yUnbhjIco8sZVyrL2zChl5ATZIl6+OkYj+ARMOCmbn2UFDW17FHIEZPkjzg4j\nK9mJqQUn2TsXRlHoyhMw1odMKUPCvh6BDJYnYICR7KVlbcnCQg9JETFLOStAVqCSFxUVJOWCtvby\n55nHwslyPsvkSFN7T6KTCvksFOIUcTkJPb9VdXqibF8SQqrFP4VyxNt7blB7y0qZa7nwLK86963K\n/Xyud3vLpGzmzEBA5POttL3d45aJfeOJz7wCC2SbjNudY8qUssacMoCRMoCRlQ6ku5JT1vY+XK7i\n72TtPXNpIlLGSegFRvbP3AMcG1L2kgcnZXlJfe6Mm3R/uDkGTXyc32ExL5zxEUXeuDll0Qpzy2MD\nIttpL9wdLGkyqNZRHYRVscmOk88OWKI/IWziG6mQq5iAs7hzd4c958UF7fXCAMkivjnEDk2xpNnx\n7hHIoJQgEQdLixRJikYyuIqKCdNARpD4uC2QI31KWSUmvz5mJFK2iop5TwBbVMWCui6RhfnZwXGl\nJLtMyspkcH6uM1koxFSQ7IqyklesRNx+z3cTbwqkzCIWs8BlClIl7tleccubJtd24VhOjVJ2jRWO\nnR1s43Ycz2X7kiuftarV8jrgzJhaxeN2KMXR2o6uxL0BeLtMnQNYf3csAdILqxusj7O6aqy9/cfz\n3QJDyhqwiphtwI9LA+OXxDgJV6Cph7MLNhgPFi5o6uNkZPtyYfHBzya5HfcMW8Q347yAYgLmL/hs\nn/UtAUvQHqG9hUU8e8EX7i5bxHcusoR0zTV4KsRhfZvZl7yS9uICm9TTRFvM8gQMADuwsCLWdjHh\n9qUm8iu0aK2LAAAgAElEQVSNmV2cDWAUhU5mmW6VsrKSMp5SVjiRLSODA+1apQpZIGWy9vaPKyXZ\nruQSa95ePq4GKmX5DTCPqcwpIxbLnQN6k1Apsa+b41e3WB9b2ZowP+gct5zfxZXPWqVsdXtrEQOd\nSUp5DHm2B8dymknZ+vZ2TAHsOU9BjtaHW8INsM8w0lp0mmBIWQPKcjowfkmMZbQGqIf9OSNJuzNG\nylYjJ/ovSJbztOCkbIct4tx+0gzRt/xFmx+whYYrSCO8gIWFhtuX/h57nots4tE84VQWt/Uh5inF\nmlvDi/MAqNbdp3QRB3BiWWwR4XHTSNvzlcWcu/PtYZFZtnguzgHRkpVSGIhGpYxY7JoWgLV3c2dw\nAUpZzJkz217Uvb7Nks55bUNOUgaQX9U8VCRlh+wqHKFo9FOOOMqn9aQxAda22T7LrwIGKXSydhaI\nfeGXy+Sou2IFKIh93WXdm8PtOwRkylH79vJL3RuVz6a4HZSylKbMAq+z3TvFnYKU3d4SfaAX+b0b\nYUhZA6STobNAlEaIRsq3WsVrWPDg2Ozx7M0cIPWQ0GTEmCssYLFFLFs8F/4elhYBHUmqFn273tqX\nc2eOVcpJmb4rgDhk9uXC32cTMN9xb/SS0E2yKe7+17cxA7Dhhyg4WQn0tVc2AS9SynLK+GLAJzxN\n/Sxb3HacHaySkNkfeRsC0EJClZYpzymbHeQW7WzXPXBiL+d3AcDMnmETZ6RsdYst1FzRWJwHaDJo\nkyFVIZ2Slbi6tW0jwP473gBhvw1kWc2RxgS25IhjcY4R/aT7XCXr24WzkN+3WW7v4hzr4w7pFlHC\n5vFyXuLcqTnMtT4skYWMpLQk3UH23vOivPmYtQ6MNG47EsrHZqvnKYtbJmVTKFabw+K46mjX3q0w\npKwBMlLW6m60AQjiDWz44uvdmQtK2YImJn7NWEdrLCgYQeAFKv19pIRgM1J5CmFfbrIdvuOxXXEa\nggLayRFQUnPWh4C/jwXPKRPkSG/cIA6KE/DmEDPL2yors0zJ0XkPZbSqKg5Jwgrzcoi44yllO+4O\nlmlYnFy5cqWhn5fxUr6I8zplBdtFT9wgCSoW28zJkbJK3OFkX6pCOnOsk9wcVI4776/8UkorJz4B\nhWpVIYP94iZpgiAJpPOtUikr21s07UQYeP/JNt6tlbL5WVbUtaXyy8dJ7RhqGzc8AeLmC8XLxaQ5\npMpnGVLFqhv57YX17WJ7ZwesD0bINT5NMKSsASrbAGhxlLgnojSAY21J2f6cKWXAeKRsFa+woHS7\nYAKYZ8rRajVOeQqRP5LbAS7cBSgo1oSMopQVEok3h8B8HwuXLeKJnyX7ao4rVcocH5t4A5rvc40k\nVLaI+0mIIFciQyc5AuRqzsJdYE3j4uQq4g4vTLyO1hUbSKQXlEmKhriUUmzijVTlKNiXGuNy66k8\nD/mOjyCf/7i+tbXggW1CeI8DQkESIKVpO/tyfbtIjnq2VyhIkpwyKXHgOVYcYlPVPi7vP1lM5aZb\nplgBrUkon8PLz3Nmz0QftIvLle5mEirqUHaxacUHlpBB0PHVssom44DdIzti6tBpgCFlDZDtFhuP\nTA9ERDfwSEkpS8dVylbRitUoy5OybJILNNWUKqOQU5a99KJvCRkll61AytZMHucxN07W55pJ2Tpe\nFxfx9SHm9hwJTRCnsTYFpxAzqtqX8zhESJgiAUArGaSUKq3EJU1BCztePcpgkiYI0xBzW5JrFS+r\nO21OUgb0c5zGSGhSVTns2XYRX5fIgojbj5QJ60lSA64wH2gkgyplRWqxrW9paS+P2SmnLCvfAwDg\nFfI7xFWpVrX2ZZmk8LgtyS9X58rEvrNS1uH5Kp+nPa8ngoCYJ7cfdBxHoYA0ZfPDrKSU8c/zDQxD\nyhpQp5RJ8xw0IKYhPHtLyvZmLsDty2Q8pWyeJtsJFYCfvQSbkZIrCzllWSxR0NCyxlHKkg183reb\nQ1GGAwDWTpbzpHmy2cQlpWxziBmPmay1K2XceqrkPUVs7IhJeKZPsYrSCDGNpdZTSoBoppccATXK\nSpZTRsu5Thra22pB1ayUqRbUmT0r2pdlG3FAP5fviM3HrCziq7JS1o+UyQp1A7kcwTJWCmWwQ1zV\n81SevpSRBRG3HSlT2pfl55lHEjPSV4jbnoSqlDI/U+yViDbMmuVEDMiR3/FKNCFaMit6thUJtsrv\neAfeTgMMKWuALPG08W60gUhoAD83ScxcCxYmsC+TuEDKZjM24W2C8RL9Z/assAPkhGlM+1JMhpmS\nIp4nT0TXGJdSKrcvs4ltE2+07zzDNERCk+oEnG0iBLEXZGF4e1ULqnies93cN/WQUN4OP7eBAbYW\n+Ka8w+dje0Bcld3FT19SSrUrdHzzJ1tQhX0p4g4jKRzle0w5Zs6sSFaSmI2fQtzuihVQQ8pkp92j\nDSubM5MoRx3s2jr7UkoE68hCy+er2kzUKmX8DuLc/NxFoRPE3pUcUKnb6PO/7eXf327KYC9wwpe7\nH3Tb3vHuYz4NMKSsAdKcFafhbrSBoCQsvLCEELHwjKaURSvMk6hIyritp0FJkWETZ8fCc0oZb3fg\neNpJWUpThGm43RVncbeWKdjpU425XVEaIaVpcaFZH2KWFasM4kALWchDtaDOA/Z9MfFrTPTnC02Z\nIInnmSdlmhQ6vqCqDuKswmPtOWWqfKC5M0dKU0ThCct50UjKVLbe3J4zAp4mbIGkiSJu9/aqiINv\n+wiSgJFPIEcW8iSlXz/LCnXzmJV5jxOCQlxOBtv3M/+7MqVMuumuJQst7UsF+Zw782KOoCyun4vr\nt1es6ki2MiawfYb5uF43ZbAXxPOVkMEx454CGFLWgKkT/dOUgpJo0hOfScpKbcyjoPDy8clx03Q6\np2fMMA0rOWV8cgy8hfaEzoJtQKmIu1U+12yC1bgDFAsNn/Qz+2OWLSbrZM1KRbgLbUqZdNKPQ/hZ\n+8UC58xYPS0NcZWWDNjBgsDL7dC97ounDNzqqRBBPoYsUlq0h9umTTHXvDhtPu5AEiq76g3IEd4k\n2Fo6ebIwgJSJ5yk50JDSlOVCAtu4viRuR0WjLgE+SqNtLiQgJwsdbURATQR57hwtn/STkoVu/azq\nW9/21fZlKCGDHZRBFflsr5RJyOCYilUwTBm8m2FIWQ0opVJSxl/gMQjScRABJMKOW54kMoI0gn0p\nVI68agNmjwDAZgTyKYiD5RdyJURMd649d6Bgd8UbdpJndrCNmWxYwU+NcStkJTwGQDHL+lk8T3eh\nLa50Ag5P2L2m+ZiEaGuvatL3szVt7eRIjGWzCVaTUiZTVgBgQ0hx0XZ8wPYHkbK6cgYAsFlnpCy/\niLkLpsAOzClTWcObZCNXcIaQMv6uOEXyKexoTh5E3Fzu2cCcslryySFIaC5uj0R/lSI4d9hBnDAt\nlZvgf1vazwNzyursy0BCBjtsbvjfLW8mGnPKZArdFDllGvr5boUhZTVQJS+PaSXeXq1ACMXClStl\njSdlekBMwElYPH2ZnWoLRiCfPKZoZaYm8EV94/jaSVnB7spNckJZiQOt5AiQ5D1lf3vmlUiZt6NN\nGeTtLCyoOVJWGEPeTu/iorKYlcUtq2UU8Hw9Dnc+uKK/kghm7Q4IKU7qAOAtBsXlfafaqG022aGY\nPFngn6PnYiJ9nrnPsIk3OQUn117bBZx5rzQAVYFTQZC45SXLOXJmgOVoyynj706RlNWQ0A5KSp1q\nVYkJyMlgRwVWzH2SMVRRBEVcGUlpT46UeWx2LhdS+g95XIkyOKZiJRvPJqfMQDVJFBZxzbi1yk49\neeV6MuOpc2JBTalcKVNJ6gPAk5dnNKublb1wYnFz9ZMycdLKmRUm9cIErJEcARJLJmvT3GMkVBB7\njQqddEENTtjzRWkMeTsseXkgVEn3fkbKNmOQMlU5A76ZkJEyd5gtXrGjSzE3vHaTX447Z4npPdBE\nkAqkzCueluxLQhsVQb6ZkC2ePRVYlZUoVcpkypFlZ2kAHUpiJPXtrMzxsvY6PksD6JhTphpD0o23\nTLHiJ2NbxK3L+SzY0WWEspyyKZSymgMGRil76UK5c3NGVMrWbMDtesWYZ/ws6X4E+1IsqJQWFjGh\nWo1APkUlbb5ByxYTQZAcdzSlzLf9wo53VPuyPOlnE6jIKeMLtca4UoIULjGjGUHKjyF3oUUpU9oj\n2a5/k90SUYg7kPyKmGWLzcnZl2WSMpAMNpGVNSdl+cVkYFwl4ZXal6W4zpxZ9R2hWsQrLoHMvuRx\nO7a38QRvntTKlCOg87hSPU+lG6Lq5w7vrzKmI2knh0wZtKzWCqzq/RS5kKqNt8wWdzzA9sZVrGRk\n0F0AICan7KUM1c7NtVzYxEaYNF9v0RWHGzah7JaUsjOZnTkGERQ7cVpUyqQ7VE0QE7AgZZlSxlVI\n2xstp4wpZVtSVlA+x8op47vibJKb8Rpw+ZwyzfZlYdzW2pfD26vMzcl24EGFlA1XyoSVaCuU7HJO\nmYa4yoRpriCFmYVVIYP9n29dGQ6gQSlz573i1t3PmP+5lCyIuHpImXieMqVM2t72c6TSvuQWeEUp\nk5AFEbflNUsKki02wbI5XqYMirjNzzdIAvi2D5K/0QM1iiCHTBkEtKU9KCFr78A0gLsFhpTVgJOu\n8gsLKI5pa8Dhhi2Qu37pDkHPA6g1jlLGJ6YSKdsm9eonn4Lw8vwJrpTx3aLtaLHVpDHtWWGnPUWi\nf9m+nGW1yQo5ZaMqZZJEfyAjCyMm+meXUm+s0lTjLnopOHnw56lKRt+MYF822nqyU4HAKEpZY04Z\nALizTiRFxFSpkGXVSnYaEehFBtfxGgREmoye/0wsLj/1OSzuJtnAIhZcq2ivS4kgIFeORNz2d1/O\nnXmFIBWeZxlKZbCdElopYJ2hYkeXUavAjlMSCgAbV8TK1LEcBqQB3C0wpKwGqskQaFHfpSeOslpS\n+7PiDnDHZ1X9x1TK/NLdl47lwAFBUD6BpAHi6hh+qW3ZvrTs0ezLslJWyOVw9eaUFfLYgK19OWMV\n0CfLKQuX8LOcssIYGjnRfxaxsRNYxQWor4JTiKlQc8Qizu2dPJx+JIWjKY9to1o8nW4KTh7KduYt\nNllJDKA3CVWqOWX1vE6x6ki6+V24ZbIiT/RX9fOsU1x+j6kqprI+muz5toy7jtfKNUUaE2DP13JY\n/lo5bgsyyJWySsw6dQ5g/ezMANspfr8n2W+N4IT1MSnPG7PBCvtphxZSRgh5ByHkq4SQJwghPyv5\n+T8jhHw++98jhJCEEHIu+9llQsgXs589pOPz6AJXymSDeSyl7DgjZQcVUmaDpu6oJTHKif4AMCcO\nNlSRBDoAQrVKsr+dTXIWsViByhFIWUHNyZEyx3JgkUyF9Ha05ixUS2KwuH5W1FQoDjpLYshUjvAE\nc5lSpulgg3IR50oZSqe7Rkz0L9iXGm1EoDkxfB3VKSn94m7iDQgIHKu4MBZUDg0KTh5BHMCzPFik\nuERs80xzif5SRaP7AYMgDirWJaA4eR6csLwmx5PE7ZZTJlOQBBGs2JdLtnGrKL+z1nGbYkrn+OCE\njeWeJGWTbKSOTyulrDymgF45g50QHr84cU8BBpMyQogN4BcAvBPAGwD8BCHkDfnfoZT+X5TSN1FK\n3wTgfwXwp5TS/C3Xfzf7+YNDP49OqCR8AKKytW4cZ6rF2XlxMZm7NmjqYTXCgBTtpLRif/iWjQ2l\ngOyYtoaYM26N5hZP3/axsQibAFVHtYfEzCtl/q64MYGdvtST+F6OWS6J4c4O4FjOdgx5Z/TllMmS\ntIMT9nxR2hW7Cy0kVJnon+2mK1O+jkR/VQL8yIn+DnGqdpcotLwCiF1VNAbEDZJAqiAJdS7J7EuZ\notHTZtokG+W8J2ICbDzLFA2nu6IRJAE826t8X0pWQgVZ6KjgqMiK8jBXcFwdU0A2ntvFVcWsty9P\nqhYij9vi+QZxIH2ezUrZSdUSB8a3EQNV3G5K6N0IHUrZWwE8QSl9klIaAvgAgHfV/P5PAHi/hrij\nQ2UbAOPZl6uQDfT9WamAomuDUgfLEUiZKtEfAGbEZQRJ84sgVMi4Sspm9gwBCADKCrxqQjHRv2i7\niIuW3QW7gFcTCa3mlG3jzu15LqdsoY2ESpPuwyVsELiWW1XKdNiXqmt5svEalNVWTUqZYzlVBYkr\nZY7HyiQU4g6rU8YttjLE4hat2GJSUTQGJPorrKdCrlV4oiALPZWyJKgcoAAkieFKktI9bpAE8rlW\nRhxUCk5LksKhzLVS5ZSpSIozax2X55RVYtapVsGxOm4LMqjqW2m+XuEfqshgfzu+FYLjar4gYJSy\nlng5gGdyX1/JvlcBIWQB4B0Afif3bQrgk4SQzxBCflrD59EG/kKqdm9j2JdL1Qkk1wbGUsoUJTEA\nYGa5zAbS/AIWbhEAikqZ42NNMnKisb2Fk1bhktku2UQoKlvzCVoTCa1cyxOesKrytlu83NmZQRcJ\n5XaXZ+XGbbhkJ03LVcM1kdBNspHaXVa0gkdpddIfSI4ANXFwLRcEYAWIKz8clsumzM3JL6gqBafn\nmGqVD1RHUnrWKWulrCgVq+79rFTKpIn+NeSoQ3s3SUcrUdnP7eM2EUFpeYrafm5nX9aNIaXrE54o\nyFF7EtoLde01SplW/BCAvyhZl9+X2ZrvBPBPCSH/uewfEkJ+mhDyECHkoevXr0/xWeuVMq6saMY6\nUuSsuOPllG3Jil9RFma2hzUh2l9AQcqiNdv95OLOnBkCnoOksb0Fu6uUSLpVyrJFXhMJ3cQbuJa7\nVXMycgSwdorFTcQd3s/S4+/ZJFcZt64eEqqyRxCcYEYl9ojTPgdHhXW8lsYkhGAGq3qLAKDFvpQt\nqDwXcp2stZIjgPVt48m5cClfPHsmRrcin0AWV8/iGSah8qQ7/0zbX64joe3jBrFCncvaWSl7pCIp\nHZ7vOlnXxpQ6MCo7ryU5UtqXdYcLALVCN0Wiv7SfR1boTgF0kLJnAdyf+/oV2fdk+HGUrEtK6bPZ\n/18D8CEwO7QCSukvU0ofpJQ+ePHixcEfug1qlbKmO8N6QpVIPHdtgLpYj3n3pURS9y2PKWWardog\nCUBA4Ibriv0xs2cIskKnWklZRpBsy67YPUL55BOXpriVRTy3iBVUKxF3eD9LVY6svQV1Dsgpg8Pi\nqvJkEJ4wglTewLgLII2B7CBAH6gsGQDwQbBxZKQss7f4qd+O2CRy6wngJDussfN6JvorVA6LWPAs\nL8sp02cj8ph1BKlQPFZTQvYm2UjnWmVFfyVZaN/P60RuR6uLx6oS0NsroU1Kmfz05TASqkz0Lx/c\n6BR3xDplykT/kRW6UwAdpOzTAF5LCPkmQogHRrw+XP4lQsg+gL8N4Pdz39shhOzy/wbw9wE8ouEz\naYHqmD8wXqL/Ji7ZXRlmrgWajkPKRJK2W53UZ06WdK/ZNg2TkKk50aqymPi2jw2yRVPjrqgwGeYU\nK4CR7CAO2GICaCNlFYstN8nN7Dwp43H1KWUFZO2tjFveHxryu2TEAeESPiHVKuVCGRxWM0z2bgKA\nT4GglGvG4g5TBtexXOUAkCllgVo56klC68inIPY84b4SNyOhHXMVVfYlIYRtmsTdl4rFswcZ5HNC\nGZ7lgYBIEv0VJLRHSYwy1DllKmWwvVKmjMlP8MrmAKVy1I6ENimfyrWsVqEbWylTjSujlNWCUhoD\n+BkAHwfwZQC/TSl9lBDybkLIu3O/+sMA/phSmj/3fw+APyeEfAHApwB8hFL6saGfSRdq65SNZF+G\nSQBCnUpuDlfKgpHqlPkgIK4k+dSesVNsml9AsSuW7MR8x8eGZjlOGuMWFrcSKRPPU7NSVrHYSvbl\nNqdMo1Im2xVni/bcmRcXN005dPyEYAXhCWbErloyGuxapToHdmglsO3qD3jphoEnIaUx7RmCNFYr\nR0C/mmEKggTkSFmgICk9n6/K1gOy9zN/+lJFUtKoEwlVKYKEkGoupCoB3ckUyZYkVPU8C2Vy8qg9\n9dluTKli1pbEqFWOWihlDcVjlXcq1+ayjUiOJJt1AFrSHk47JFvJ7qCUfhTAR0vf+6XS1+8F8N7S\n954E8B06PsMYCJMQNrErp7uATFkZg5SlISxJLoyflcQYg5Rt4g18EHYCsISxSJnIH9ksKy/f3J7j\nBX5aT2Pcwsm5krLg2z5OohPtOWWVHWpu8fRtH4dRdleixgMG0vyR4Bg4c6mYxwZoI4Nq+3KJmevI\n7UtgsFKmIis+pdgQyZ7THaZIbuIN9nIFlvPwbA9hGqkXMYCNq+w2h7YIkgBn3bPSn82d+bZ4rCrX\nCWCEQbLpUmGTbHDJviT9mW/nUjdUZNDNKbCy3D4JVEqZiJmUlDKVkgKw8ezKSWUeqtO0hTI5hQ+p\nUCSdeUZC42pZkhLCJJTatISQ6qZJ/CMFSeEKHaXVE785qAgvVyGlaxml7P0s16ADxrUR05TNg7K4\nJtH/pQ3VQAZQlPA1IkpDWKQ6iTGlzEE0QnX9IAkwo4QVRSxh5sxGO33p8fsty/al42OT3Zmo0zYt\n7FBL9ococSJIip64FVKWm9R920eQZmNILGIaSJnM7srZl8XTl3psU2Wif3gCnzg19qX+pHsAmKUp\ns93LGKiU1alzvu0joIl68QR630NZa5nG6/qcsh5x6xRBQQSBGtu0expAkCjGECTpIiqy0LG9Stsd\nEjeE0qy9NXHbJN0rTpkCjNhXCFKasBPS0vZmp7Yb1iKV8ilVITmSEKCpnMy7C/ZzzfUrAWyfnYoM\nRt3t+LsJhpTVIIjlPjzAXp4xSmLEaQRbQspmrjUaKdskG1ajTKaUuQumOIxw+tK3fSkpEzYQoPWA\nQSGXQ6KUsUR/vTllld1/zg7wbG97ukujUibdTGT9XLUvNSllijwZBCeYyRaageQIaCBIacI2E2UM\nzGVTqRwAG0OhkpT1J6G19qU9Q5RENUpKP+VXdeITyClltUpK936um28LdSGTmBGCuva2fI/CJFS3\ns3yYKw4AUAVJad/PYVqjCFo+wvIcz8eMLG6LXNSUpixmDeGVq3PbW08qyCuhulHXXk5CR7iP+bTA\nkLIa1O3cZvYMURoh0bxTiGkIh0hOILk2aOogpiGo5l1CEAesRplkcvWdOdbWOKcvfceX55TZPjZp\nlouikQwWTndJTl+ykhj6FCtAsivOkdDC7l8jGZSqVllF8MpO3BmuWAHqek8Il5hZMlI2bqL/LImr\ntwgU4vZrb53F5tkeK+WimZTVKWWe7SGIN8w606AccdS6BE6mIGkiKRx1ClLBvoxbkJQW/UwpVSbA\n85gVdQ5QKzj531EgSRPEaVysIZiDVCkTcVUkBbX9LL3hI4dKSoOI24YMjmAlRhkZlI7n4Zu50w5D\nympQaxs4kto5GpDQSErKeKI/AERp/zICMjD7MpW+BDN3BzEhSDVePQTkdsVK+zLrV41kMEoipVK2\ntS/1Fo+tKmVb+8O3/ZxSpu+AgTLR350XYxbiDutn6eKWpkC8hm978uKxwKDJVUmQkggzmiKApOzF\ngIR7QH2KDQB84iAkpIGk9LMv64hDWEdSepLB2hOf/NRwHUnp0d6mmGKuDetISvv2xmkMCqokSJU8\ntloFpx1J4SpYrdpaVoF4H/a0xUUVgbq+lb3/or0q2xTjKmUym1jz/HwaYUhZDZp2bvx3dCFJKVJE\ncCyZfcmuWdIdE8h2xWkqfQm87IUMo2XlZ0NQtC+Lcef2HFEaIwG055R5trfNDclNrlv7Uu9LXxhD\nGUnhuXuFXbHGAwaVRTyJAJoA3gKe5W3z2IBce4fnlFVUq1xR4spOXINSFqSBfEGN1izRn0pImQal\nTJkPZNnMMq3b4fcYV3WKvXQM5dGj1EpK08b8rk2yaUdSWvZznMZIaKKeb/NWYisy2C63C1ATpApZ\nEXH7K6HierkatbVKyuoUq+b5SlQRUDxP13arlinQoND1H8+N0PR871YYUlaDpp0b/x1d2EQJQOTS\ntuewnDLdMYFMtUpi6UvgZZN6MAYps7wCSeEQKqTmU5+CIOVICoewo/lJMY2kTEzA/G9mE0vRvtSn\nlFUIEp/kHIlSJup2DRtT62RdXWh4/TvZPbEaJlelUhat4acUASSpBRpKYihVK3BSpk8p4xZbo30J\naFvEmuwuMYbqFJyOZLDu9hT+fUHsWylW7UmZsp3lE/a1JKUbKavb7Kvty7rn22xfKl0fS1FJoJVd\nOwI5qlNCjVL20kbtkfumi1x7YB0lICSGK3lhbYvARmZfDqiCLsMmXmOWyhOU/cziC0P9pMzjpUZK\nL59QITWTMrGIi9pgOaWME0EreyU05ZRFSbSd9Et2gGd7TCFIE605GpV8oNwiVtmJa5rkpFfkZJO6\nb0uSlzXZl9LFLVqxOmWyfM8BCl1KU0RppLa7iIWQQOsi1pogAfWKRhdS1mB3ebbHUig0kBQRs0m1\nyhP7OlvNaa84N6lW1ZyyYQn3QHM7pfZlK7tWPZ7FNXqK/EupOpf/my+WfTlAkbybYUhZDeqsijGU\nsnWYAJY6CZTnmmm3L+NNluhffemFUhZrzilLAswIJ2XFl573eai5FIdQyiSTqyCCyE7s6VLK0px9\nKXJ/2NjhzzlMQ71KWVlZyU2unu0hoSzZGECOLPSPy9WcyruS9bPrzBAmpQMqA+3LWrsrWsOnKTa8\n1l0egqR0b2+TyuGB1Chl/UpiCJWjZkHdllXRs3hur11rsExrFatu/cz7tvbEZ1K2L4cpkk35XZWS\nGBpIShv7sqqU1ZCUFpu5TsReGlePLd4aItG/RikzpOyliaaaRPx3dGGd2ZdK798ah5SFvCSG9PQl\n+yyh5pcvTEJ4vLhnqcijICu2p1cp40fRJZOrINlIAehT6AoWW2mHz78fJqEWcgTkTpTlx1C0tU0L\nMQEtShkneFVSlillzhwUdEsENcStXdyiNWaUIqJJ9XS0WDy7K7+NixsI20jIiEXPnEFxBVrdgsoP\n/oZJjxIAACAASURBVGgig20UpIJ9WUtS2tcLA2oIr+1tHYI2CegtxlUb+7LghNQloLdUJNsk+vc7\nfamO29ROKREEtgqdxlIrraDJnr5bYUhZDWqVsmzile4wemIdMvtypnh5OCnTGRMAgiSER+VH+QVB\n0rwz2SQb+IKUFSc5QRxcvferiecpSMp28RR2dBKg7yXOZVQUpNLkyr8fJAGrAm45w23EVLKgluxL\nERPQotCJhaas8GZxPf6u5C1MkbvXbyzX2kDRCm4mylVOKgsy2D1us1LGLHcqu7B8QBFXoCkxnJOy\n4XW7gJrnWYgZtlTKutmXqna6Vi4ZvZYMtiehTc+zopSFLXKsGvpZjNumvs2jTcJ9TT/3OlzQGHdM\npexFIoOnBIaU1aCVUqaRNKxCrpTJX1i3vKBqQphmpEyW6M9jjqCU+Xz4lZQFN1uwQ0efUiYIkuVJ\nd9qF07SOr6UUR0xjpDSVKGXbRH8RE2CWgIbSFPm/zeJuJ9eKUsaVnQH9rCRIWVzXWRRjaojbpJT5\nmVVaeVcsuzf5bVRWKEAJQSx7f3nfdNxQ1d2/y78f0BgUaLB7utULA2rIp1W2L/vX7SrHbJXf1eY0\nYov2tsnvKpbEGEaOgB55bIW4dWSwmZS5iuuupDGBls93BHJUm+g/Yn20UwJDymrQVB8I0KtabbJE\n/7kql2MkpSxKYyUp27ZT30sgLDaev6VK9Hd8fQn3mWJStC+3cXnfRmmUkaPhJLQyAfNJzimSskKt\nsoFxxe4/vxPPTa7ScTuwn5WKQxbXz8ZVZeK3/d6VuWtVjmjFxjMkStmAuI0LKieCkrtyQQiL23Ex\n4ZZd0zwUAfJFzHIAEHZNT0u0OSEYpRHSsEXuT8t+bqMIbu3LNsVFm8lgOxUy9/k11O1qVFvrSmLU\nXe9Ud/oyyzn0ra45ZXrr0LXGi1Uf7ZTAkLIa1FXvFmqOxmuPVlmi/1xxka4/glKWpAlimmT2pVop\nCzUWcRUWG8/7Lif6c4LkeNrk8cJkyBfGnM0knmcSalPKKjvx0g6/aiXOBseVTvo5EsrbWanqP2Dn\nyRdLFSnzMlutcmrY8Xq3t96+XAtSJl1sesZtVJCyumiBbcv/gON3tk15TJXKwd8VZX20HookJ7J1\nFhsAhOEJ+4YsrmVlimS7fm602CwPMc1OKtcpZbyfWpDBtgRJHFCpU8paKjiNY8j21NcsyWzxFoqk\n8v3MULCGC/9wBYBsUxwK/2jkiv62z1TtMoxS9tIFpbS2JMYYqhVP9F8oTyBlyeipfoLUaF9qVMrE\nDpV/o5zozyd929VW0b+wK65RysI01JZTVlXKijvPimrlzgbHlS40ufpofLdcLCA7jISq7cuMlGW5\nIZXNxAASWrv7j1Zw60iZ7XdSjkTMJostzWLKFhOAWZgd40pzBHMQ76fq1CeQkdD281Qb4gAAYXjM\nvqGM2/75Ntm0ImbakMsmFMnmuOJ5KhQkz/LYARV+ileQFMn8bDsAsRrj9rIvwyUbO7ZEgRX2pTpu\nr9poAOtnd8H6tBJ3xNIU0Vo9poxS9tIFv4Kj1SShCcswBCEp5q6qqrV+IiheWAp5nTJBHPTVRhMT\nE6+4riiJETietpevMDFJJnXxPO92pUx2uqtUPBYo25ezQYpkY6I/r3VXfld6kBTxp+tsPV7iBQpV\nuefzbVRWspOeAVFMqz2UMqkdnYOwL+tIWUcS2mYRB3JKmWIT2eX5tklGF78XrQDL3apiZbR8vm1j\nFk59qkgK0Kqf2xBeUbuQo46kWBbri5q4rdQ5lX2pHFMu2Cl1vfnNIq4syR8wStlLGY07txGUspOA\nLWI7nqKqtSNZUAdCWBWqOmUjWKbimH+mLJQn9W1JjPb2RxMKE1NNnTJGyobZeeWYTYn+hfIUA+1a\nYVVIc8rmxcWNwx1GBtU5ZYwMeu6ZakxgEPmttfWacsr6krKmcgaClCn+gNM/p6xJtQrsJpLSfs5o\nc/oSAIJwWU9SOvSzmBManAlWtHYtt0zzcVvMV00J8JV3pY6k8LhNSlmD8inmhPwGJlrJT9YW4qqf\nb5Md7dt+sXah+LAreR4bkNni/RTnRoR1ZJArkoaUveTQJt8g/3s6sAzZAN9R5JSNUbBWkBVKpS/+\ndpKYXimLLFdbTlnRvqySsmpO2fCXvqJyxG1ImZ7Tl4WFJmebSu9sdYbZpkrFgSf6e+ORMtXpS5fY\n8phA70T/RvsyI1DKd6WHbcoX57qTcwAQ1JGFjvX+Gokgz2OLG0iK7bXu585KmYosAJl92Ry3TRmO\n/O+1IoMt7csm5bNywKCRDKqfb++1LFrVt7dlP3dGY3uHz5OnGYaUKdA62VUjKVtli9jMlU8S81Ht\nS1rJ7QLyuVb6SJmYDFNOyoov4Hb3b498+nI74VRzyvQpZRX70lHYlzpyylR1yogN2K583A6c5ARx\nsErEIVoBzhyuI9n9A71zu4AG+zJa16cX9CTdjYtbwpQG5aapY25X/m81zkOKjRyLO+tEQtuUigCA\nqGnR7kC625yEFL/XuGi3s03b5HcBKNZHayKDDf3cNl+vcpNAEzmqaa/y/SzFlJ761NDPndGkDHYg\n+3cjDClToGkCdiwHFrH0nr6M6icmTtZ0KmUFUibJDRGTxBikLFvEVKQstGytF4OLvx1vAJBt7SiU\nJiYNNmI+ZiHR3/ZZHkju+6OcvizYlxthM0kn/YHtVS6o8QZwZ+ryMT1ISjmmqiRGbcmaHrld+ZiN\nSplqwehREqNtflegsP0AdD5t2lZZCeLhyhFHW1ImitY2KjjD65RVcsrqbDWgVT+3fp4VUtYUVz2e\neX1GorCZpTFF3DrbdCTFSoNNfDfDkDIFmvINALbw6bwcfB3XTxIzxwWoNU5OGbGlR5C3pExyj2BP\niMkwjRkxKsUV+SNjkDJePLaUC1PIEdQ02UjrlKkOFwB6c8rKif6ZkqKsUzagveqSGGyHr9yJDyge\n21gSo46U9Txg0GixZT9XK2XdbdOCwivB9vaLGlLWUZFsk4MEcFJWZ1+2j9uo5uRzysJli0W7nX1p\nExuOrK5cLuZWKWsioc3zRpiE9TFl70q0bqHQqeNGSaRcU4CamptN5MjuV1qmERps4rsZhpQp0JTs\nCjDCpvVC8jhHHCTwHAuUOuPklCkmQ8dy4IAgQqo/ZhJLa++ISV9jQmdhQZVMNgW7S4ONCCjsS9Ut\nAsCIOWXbxVOe6D/sYEPt6Ut3Xl3cOAbYEPUV/Vdws3ElV8r6kcFGWy8jAsqSNT0WE7E5bLKeahbd\nrkpZW9UqijctFs92zzdKIriWq1RzutmX7RP968hKIc8UaEdSWpy+rCVIlkS1CofZxK3bKauPpqGf\nO6OJdA9Ie7gbYEiZAk0yM8AWIZ32ZdPlw55jAaleUra1u9SKoEssBDRR/rwrxE48DqQvH99FhhbR\nlkhaPH25UZOyJBxUaT6PJqWskrOiMaesaF9uJ3V5or8/KIeutk6Z7L7NfNyeJLT2JGS0lt+3KeL2\ns00b7cusLbX2Zcdx1Wgl8qR7R/3+diX7PGaTmhMo3l+BLiUx0lBJPPMxRaJ/rX3Z7vnW3diSj6k7\n0b8upjzRf6UuO9IibpAEtX0rJYI87ouhlMWBNL9ZoGf6wd0CQ8oUaJLwgZrrKXpiEzflctig1MFG\n44sg2lm3eyMOAlAg1aOWiZhJLH3pCSGM8Ha8HqYOTUqZyBFMwkGV5vOQK2W5E5/l010ayKBUQYo3\nVaUsT1aG1imrK4nRaF+Oc/rSd2uUsp477aaTc16WE1prX3ZU6IIkgEUsJUESi3idUtZRkQzTsH0O\nUuMpuXbtjZKoMVUEyJfE6H8akYO3UwVxoEHUKRtOUsK0XrWSvitNimTDvBGmPYggwIhPLRkcKacs\nCVibVBhQ3/BugCFlCrRSymy9OWVBQ06Z71oAdbWSsqaFBmD5ZhHRR5B4n7lxVbHi8G0fISEATYFk\neD5bpXisrCab5bFJny/a/HqVgTELif65uISQYjVtDWRQSrJzO3yhrOSfZUtlQRmz7pql3CXolXdl\nwORaa+tFK3h2nX3ZP9G/lqxEDUpZj7hRGtW/m+Kkspy0beN2U8pqFSSRf9lEytqPq9btTAJGUmRX\nDom47U6bNtl6Fds9DuRXDhXitrAvWxDBwvsZB6wvlXG9WhLalFOmVLLjTUN7RzoFGQcvDhk8JTCk\nTIFyov+V2yt87JHnt/egZT/TaV8253JYoKlepWyr5tTspCyHXeOiKS4nDm6kntRd20XI1z4NZLB4\n+nItndQ922O/xydA3aqVhIQWqmnbPpBGgxRJKVnJ2R9ChSyXxBjQx/X25UJ+3yYwyIbglowlq54f\nreFypUxzSYzaxS2znpVKWQ8S2hRTLOKq+zaB1tcO5WPWqlZCbY3qF88OimSURu3tyyay0NJWa7Iv\nKzll8aaBLDST0EbCK1PKkjaKVb1S1qZvK+OW12xUoeO4ao1G8juSbXpKYEiZAjxZl+9qfujf/Dne\n/b7P4tOXb4vf8SxPc35XQ9FGxwKoI2xOPTFbKILEYaqVpl2RUMqSUCnL+7bPLFNA/0lIlVLGCVKL\n++TaoGpfVnNhikpZNhHpJkiSXLbK6csBimSYhiAgcEhJrcniOsQBAakSpAFFemsXt2glLkGXvp8D\nisfWk7KNOibQq72t7S7V1U48bocx1ZoI0qTF4tkh0b8NEUzCzFari6sn0b+ilCVhoYxOBS1IaGNM\nGUGKNw1x68l+E/mUKtmUZnEb+lk3OUoTtjFtIoPGvnzpIW/JXL6xxO0V+/rjj14Vv6PbvgybCkWO\ncPpS2F01NoRnuSMpZWvlDtCzPUQ6SVk+MVyRsFuwL4HBJLRy5F7S3oJqxSeigVceVY7cl8hg5dQw\nn/AHFHL1bImtFzFFktu0FVtvgE1cu7jFARx3DpvY8vez52LStLg5SQAHRKt9GSb1eU+tSVmXa5ba\nqjk0aVi02yuwjUpZPqcsCZpJigalrKJaNSo4zeOq8fRl2b6ktFmxaojby75MY7ZRazpgoJscxaUN\nqjTusHSL0w5DyhTI51p94cohAGDu2vjSc0fidzxb7+nLxnvRnCynbIzTl7U7qcxK1KSUiZpEklOQ\nHK7lQkTTZF9axGJqTrSW314glLJsAtNQyLVOseIxt4n+w23TKJVMwKXFpKDOAYPJoHKhyVnBru3K\ni8cCQI+NTe3ilrW3YA0X4vaziZvICuKQnVRW2pfdF7EmZcWxHDiUIrBUF26is23a+iQkjetznTrY\nW60ttnjTwkZsF7eTlZjEAE0Gx+1sX7YiKc0lMdqokJU8NqDF89VMjvLlgVQYUN/wboAhZQrk75y7\nfGMFQoDvf8M9eOL6ifidSm7OQMS03r70s5IY4Rg5ZTWJs77lMvtSl1KW5JSymkT/gNdG0/Di88mQ\nECIUnDKEgiSUsuH2ZeFZShYTqX05UCmrLG4SUlaxLwfEVZ5ii0PRl9LyMcIm7pffpVzcMpvJtRQ5\nnz2VwSaChCSAB4U6B/SyiZsWVADwKGXvpwrcNm2pSLYhgjaxWXpBY45VS6WsrX3Jx0pt4ns7ezpI\ngvaWaXnjJEMLW7y1Nczj5U9m18atIWUtT5kWT3y2IUf1Bwx6IdbTz3czDClTIJ9rdfnmEvftz/HA\nfXu4fhzgaLMlTzqVsriu9hK4fWmri1P2gLD1al4+1/Iy+1LfPZQWseDUnLLxbA8Rv7Bck1ImyEoi\ntyF8y2f9IZSyYc+2cqJMkpNSsMA15LJJFaQkLEzqFQVpIAlVLjQ5pUxpX/LP1zVmXa5Vo1LWr5+D\ntObkXGYzeZYt7Plq3NyBj5ZoWlCRxPAoRW1LRK5iO0WyUREES2kICWlePFsqko2nL3l+Fy/d0kRS\ndNiX+Zyy1rZag31ZN4YgqV3YWimrSfRvq87l17LyRlEad9gBISkE6dZD9u9GGFKmQP56k2durXD/\nuTnuO2DqytU7bODoVsoSrpQpLx+2AepozWOLkgg2BeyanDLf9hkp02hfupZbmyvB6pTpV8oAsMVJ\nspgIgqRJKavkycRhZYdfUHMG5nbxmJXxUzpS79t+kdgLstCvn6WTPqUsLlfKZARpgE2sLC2QJsxm\nsn11HcGep2trc3P4Jo7Y9cVjO8aNkqieICVBRspqVLCO47mRCCKz3QlpJilAu/IUDfalbdlwiIMw\nWmV/u8FGpEmjItk26T5KopbkaNaYI9lEkHgfdLIvG+zpzuocsCVHTfXCdNuX/O81Jvobpewlh3xp\ngReON7hnb4Z799lE8HxGyqR5Mj2RphQJIlhwYEvuoAS2py+VO/EeCJIAHmjtS+A5HqtTptG+dC03\ns7dUBNTb3iKgYTdWmJgUdX/E8xxIUjgqi7ikKKJruzmlTI99WYiZpkytyMV1rdK4Ff3S/yRkxQZK\nYwBU/O1C7hzHGPZlLhdGbV92V6yAjGSr7K4srktstXreg4SGaYN9GTNSFtW4l13HcxvL1LdcNifU\nKWUdnm+TfQlk72cb+7Ll5qaJCPIc1CAJWtqIzSS0iSARQorvZysbccbet1R+60pTOytEsBC3xSnX\ngfUcCxDPt0kZNDllLzmESQjHYkf5rx0FuLTr42V77MW4eodJ6Ep7pFe8FITEsMtlBXLws9OXkc7D\nBUkIj9bnhvj2TKtSJpLRa46Ye7bHTncBWsigsPUoVVaMFnlPA0kKR5RG21OQacLyicr2ZT7XSkOi\nf5WUZYQvt+BVE/1ng+JKlZVSorA0p2xAe2sPFwCA3ZDoD/Q6Calc3MQmrkbJ7qHANhUbZaQMCGuV\nsm4KbCuljJ/Irq1T1v75NtmXAJ9vWyg4Le3pplOJImZr+7J5U9VkmQKMJImNd5tctgay3xTTIhZc\ny1Uk+jcoVjTNNmCa0IqEZkqZTjJ4imBImQJ8YjraxAjiFJd2Z7i0xwbo1Tts4Pi2ry2nLIhTwIrh\nkBo53bEAaiOh+l6CKI3gpfWkzOPV9TWWxHAsJ1NwFKTM8hCl+kiZmPT5BCKJK+wuDfXCgNIOVXGa\nqUAcBihHHJWcFcnkWlDn8p+pb6K/TLXKF8SFonzMAGVQqThwomW76vSCns+3tmwDv43DcmqUsu7t\nbXW4gNJ6UtZxXLXLKXNa2Jft29tUEoPF9Ngl6Pm/LY3bjgy2J4ItSVkLe7rxeaI0J7TJsWog+23I\nZ8Xq10RCO6PVgYrhm9fTDEPKFOAvz/VjNkgu7fnwHRv7cxc3TvgErK9OWRAnAInh1CW7ZvZlrNG+\nDLNJvRUp03jNkssVQYUNwezLjEBpiCsm/Zqj3mPYl8KSUdgfruUi5kRRQ9yqZVokR0CuHhuHhkT/\nivVUVsqk9mX/SV25oOYSlJUHcQbYl+qcsmxOIG796UugU3sbiUMcwqUUtTNCx4Mr7exLp12iP9BO\nKWthXxbGUBty1KSUtSWCaSR9jypocZCjqU5ZISaQy7FqOG0KKNvbZF8CJXUOaFmaov9BHSVaJfr3\ne3/vFhhSpgCfDG9mBOz8DhsI5894uLXclssIkqBw9VJfBBGzL93aQpHs9CUvnaEDQbyBS+tzylzH\nZ5O+pqRO1rfZJFFnX3KyoiGumPRrJtetfakv0V8sqEnVRgTK1ywNT/SvLKgSElrJhRyolEntEYlS\npj592Y+USReaeBtXbV/2O10rciFliPnJ6Zqr13ok+rdRylzQ7Unl2rgt7csWao5LbFa7cEqlzPZE\nge125KjZvmyVx5aE7XOdauJSShGlDQc3sphbUtaFpFTjxmmMlKbNz7M8J8Qt+tkeNm9I0SbRXyi/\nRil7SYEvbodr9nIcLNjLe37Hw83lVimjoIg12IlhkgIkglMzMfmZfUmRIlEkdXaOG2/gNyhlrj1D\nSAhodrff4JhJCJcfZlDe8+khSkdQygRZqPbztnisJqUsv9Ao7IBCMrqORP+0ZD1JFrHKrnhgKQ6p\nmpMU2yQ9CTmgn5ULarIloY0lMbrWKatTHLK/5Vh1Sln3XMVGghSHmX1ZQ8p6JPo3EgdYiNCU6N9e\n0Wij5jA7uoOtVvN8U5oipnErIsguQW95ChJQku7CrSI1KCT6t1Hoash+5f5dBSo5n53sS42KVRvy\nq2HzepphSJkCfDI8XLGByknZuZ2tUlY4Mj0QQZSCWHF9DRuHlcQAFBct90AUbzL7sub0pTsHJQRx\noq9OmbAvFTtVz/YQlGv1DI1pu7WTjVjENb30BdVKMbkWc8o0nb4s1EarKnTqOmX9S2Io7cusL6Un\nIQdM6mqlbEtClSUxWtpblT+d1izi8XZOUOeUdSe/rZQyinqlrGM/t0r0JzazL3Ul+rdQrQrPs5V9\nqY7LUwba5FpFSVTZZEjR8P6KQt1t89jyf6tNDp0kbpu7jQFJnmkXZVCrffki5bKdIhhSpgCfmA5X\nXCljg/rcjl8hZTpOYLKcsgSeVVeawgJNHW0x2d9h9ketUpb9LNKklEVpBI9kSlldnbI0u/1SQ1u3\nShknKfI6ZUWlTKN9qchlK6hWGmxTtX1ZzCkrEIdR7MtiXN32pVJZEYtnTUmMnu2tr1O2XXDVdcq6\nJyg3EqSsJIY4qSyN276fKaXtbhEgFiuJodG+bCIrBYutzWnEmvaK+3fbqHNpzr4cYJu2Va0K47Zt\nfTRFXHEzTdt2cnQ52DBGon9Pu/YbAYaUKcAn4MN1BNcm2PEYiTifKWVpSuWVkHsijJl9WXvtR5bo\nD6BoPw1AIBL968ggKywbxWPYl/LJlU9cMaDl5RPlDGpO9/CJiVoldasnCsqKYjEpVvQfbptWFnGJ\nQlc4XJD/Wd8LyaUFa4vtlduX/XK7gDr7sk1OWb8SIK1OX9p+i4r+7fq5FUHidcrqSFmHfo7TGBS0\nhX1JWG20NnXKGvqZ51o1EsFso1b42zK0OMjBx4UoWaPANqesg0KneI/aqlYsdaNUEqOnnddaKVMl\n+mvI3euEVrlsenJ+TysMKVOA78QPVyH25x67MxHMxkwpcBJurUblBcQdEMQs0b9uMrQtApIpTLpO\nfUZJAJ9CeQclkCdleuzLOI3h8qFXk+gPILveaYzTl3L7EgBiThg1XEjeaF9aHmLKknF1JfoXxpBE\noauQlaF3X8osthL5lduX/UuAKJWV3OJZOWXK0TNBOUxD9SLO65TJSn9wdLQvY8oIUv01SwE7falJ\nKRN5T02qFUhmXw5PBOcbhCY1hxF7Tsra1O1Sk8HeSlkrZVAeV9iXbU5fJqVE/57kqHVOWXncdrER\ndZKjLiVPTKK/GoSQdxBCvkoIeYIQ8rOSn/8dQsgdQsjns//9723/7YuFbU5ZJPLJAGBvzv77zirS\nm1MWp0ADKQMAB1n1ZU05ZWEaNSplLlcENd596ZJ6pUxUmbYcbYn+rGCt/BQkkLvrjl/urMG+bKpT\nxkkbs02H330pvUUAKPSza7tIaLI9LDKQlEmP+ZeUhUrBWqB3LlutspJrr7QMR+4zdSGDSZogpWlz\nRX+npnZhR9LN55XaOSEO4VJsTyrL0OH5iptMmk4lAi0q+rfrZ06QWtmXtGT1S+M2H+QQMdvWDGuV\ncF9/kKMtQXJsJ5dT1qIkRo2N2Jpkq05ftlIkJz59+Q2ulNVrty1AmHTzCwD+HoArAD5NCPkwpfRL\npV/9M0rpD/b8t5MjTELs+/s4CmLszrbddMBJ2Xq7U9dlXxIrhl/38oERpBT6lLIwCbOSGHWnLzPi\noImUMQUpU+YU7RUX87q+HqWMlzOokeWFOkcj7GgggwVSprAv+c+jNMLMmwHEGtTeIAmKC2pSXcTy\nMW3LHpTozwlSk1Lm2Z44nm+RbC/YM7erVlnJ7fAbK/p3aG8jcRA20UydU9aR/HJCWUuQePFYTaSM\nx2xUVkAQQk+if1siWCiT04os1ChlSUulrFI8to1dO9C+LNQp61ASo8a+bCTZlouT9GT7jS4HDHTX\nKSMWUGcra9i8nmboUMreCuAJSumTlNIQwAcAvGuCfzsquD1ytImxO9sO6P2MlB2uoqLKMRC8eKzf\n8MI6RO/py0AoZTWkjC/iOpUyYV+qS2IAQJivLTYAIjG8ZidWOLjhzPSUxKjYl9WcMhETyC7b7TfZ\nUEqrOWUy+7K8mbCySbBnEdf836zG3Sb653+f/azf5FprPeX6mefmVOoI9tjhNyZM85yyVkpZ+9IU\nQMMiHvM6ZTWkrGMR18aYADvx2VinrOV1R52sRK7utrEva3LK2ibAC1LWhhzV22qt7cv8Cd5ORWur\ncVuT7Eqi/4bNCYp7mAufSWdJjCRgfUxqLnMdeDDptEMHKXs5gGdyX1/JvlfG9xJCHiaE/BEh5IGO\n/3ZycMXheBNh19+y9v3Myvy/P/HVrZqj43RgkgIkwaxukgNExX9dpy+jNMrqlNUk+otFXM9LwE5f\n1ueUCcLr6FHKRNJ9Q50yIFuYbE9PSYyGOmW8bwVZcbzeZFB6zF9W0V92atiZ9epn5UJTIqHS/EvL\nAdD9pojaRTyvlJX7lqNPZX2urCjtS7Ywuc6MJcvLCkp3ve6ojfWUZHXK6g7+dFjE2tpdHjrYlw1z\nVWtSZnsIOfkcmAjeOaeszanPpkT/tn2bP8EbbwDLZRsnZVy1Ld6WZFdyypKwvo8BLQeTKoiD+j4G\nvuHty6kS/T8L4JWU0v8MwL8B8Htd/wAh5KcJIQ8RQh66fv269g9YBq/3dLIp25dswHzu6cNt3pMW\nUkZBSAyvRYVpQN/pyzCNmX1Z8wIKsqJpZxImIVxkOyGVfZmVBglsT09JDJ5rVWdf5hWkgWRQ5D1V\n7Mti3Ira6sx67zz5pN+U6M8/U/EEZj8SqlRzSnWdpESQJ4r3VMrkF5IXT18CkoM4ls0IYYf2drEv\n879fgMg5ajeeWy2oWZ1Bbg1L0YEMtlZzKJpLYjTkWHF0si9pAoAo6xsCaEUWOpOVeMPe3VoFp14Z\nbHugoVAzLA7r+7gQt9rPrXPKyqcv402LuCMl+tepkYBJ9G+BZwHcn/v6Fdn3BCilR5TSk+y/xmGn\n5AAAIABJREFUPwrAJYRcaPNvc3/jlymlD1JKH7x48aKGj10PnidzvIlxJqeUnT+zHdxxwqRdHVYi\nV8qa7Eux+9eVU0aTzL5UxxX2pUZ1zuVCQsPpy8jpZ6vlUajeXWNfFgjSQDLIb3kQk75CoauoObbf\nO67IQcpP+pIdvlwp60dC1fZlkYQqVeU+pKwuHyhHQmvrCNrd4gplpSHR33MX6piWxVSPttcdtakA\nnyX65z9jBR1s09YlFGiKmBCkpGYJaamkdFKtaML+bi050qeUuZabVfRvQ47qFcnW1rBVumapddxq\nP3civOVE//+fvXePtu2qywS/uV773Dx4QwUIkFtlEoEbEyWkgEhDxcaEVlukwRIQCixJCx3KoQyF\nVhoRGaNKZdhtDammbGEgNs0j0DWwEaF0CNYYhKJAjBIeAgIOw0sImJDce85ej9l/rDXnmmut+fj9\n5lzn5uTe/RvDITn37PPbe+211vzW932/b4bA0WEZ/RNA6JlQa4CyjwK4WAhxXAhRAfgJAH9o/oIQ\n4gIxZEoIIa4a+t5Gee3dVdt2i0KUOFW3E09ZmWf4P/7lFQCA75yS+ndTiypfrpmN1skOtWz7SAyP\nsXLNkFxgALyKKQuAsq0ZY5HQD8Bs78vlTUoBh4P2IJkpWwAH1zZLC6asSoqmAMLypdULGQlC3fLl\nlKFz+i8jPHTq3LfGUxhMqFO+VO+LY/QPGcPV4jfEx3hT/ZlG/2AkxnAtOR/UlMxIDHEN9kQPygD4\nZVOiPE3tuck3aCDRhWQ1AlgIytFGz16+TJfVWDKt9pQdhGVET1+qp6zIihlTduD37QGH4+2igNDE\nHUiOeiVPX0opGyHEDQDeDyAH8EYp5SeFED8z/PvrATwDwIuEEA2AUwB+QvamC+trU9/TGtUvHv3h\nOW9vepgedK/+pLhDgbIVANJB00CIDpsi9LS4omSqboZS9k/wjhol05VAWVtDdwvllBV0ZsHXD0B4\n+tJcxBMYK/03AIt8OTP6z033CX2tT+Ie+XJhuo948nQyK7NtlpyTysWGLUN4F1QjtNb7MMH8vMEF\ntTkAsgJlEXiAYYBuqtFf7Y7hvQ8RzyuqfFl2/b2v7mrswcGoqG2YAp+XPCFo+Ey9HA5hcIUDkJqu\nQVfvIwsyR+oBzH6cqcMFk70vmwO6jGjpSwW8C6ZMGe69feP2kPUW6fOe2Ub/ZFAGaEnyvbOfvd74\n378D4Heor727S02xYdjSyDT6A8CDzu9Pxtvv6v97DSlxv+n/xl7gZqjkzTU8ZfpmKKWXKRu9c+k9\ntZSojNCebZaAIadsLaYsK4Fm+NIsT4HT6ct4xsrsuZQvp3014DVT/RM9ZdNE/yUItQKkyAEDq48N\nWHxev3zJ+7zehaY90MZop6dMvS/G5w3mWg3GaC87B7CYQZLc1W515p/3QY14nMmxDYopCwE9AiPJ\nkS+BPiYnABd6wODpywFlQD95HoorGkGo/ThT2TlzalhQQIrySNo8ZVT50rbNUpAZPARvFwUMHoZs\neoRql+hvKW2AHrY0OncGyu47TGCeHM6JdRL9CZlEAKrQkzij9A1YSiD3yJcr5rFps6v6gWdDcgCo\n8zyZprbLl8sbztRTtrZ8afeyLY5tgmxqZTk0czQeZ2vocWQUhz6HbJEYeaW9P375ksmUeacvR0+K\n97wteJ9X9XQm+g9yTzBQmgF+SSbt5gBVRth6jchIkicEuy7cExiuI2J4LMF0DwwxOaEKyLVBj+BQ\n4wMpwYAOeM9nLvhsuobGHHn6kpnPvJxODVMM91oWX9Hb1VDk2hIxU9v3lNqBMkupG1Mn+yfQczbT\nrBblMTt50C84qwAk4mTO3iEwZZsQU6blS08WErOnZsoCOWUHKzBluuckEmPZV098doOfIuGiXyzi\n7QEAsTjOi0U8YcDA6SkzwBFgLDQTpiwul835JD4bqZ/49cyKYCS9T/+G98cLkJige3IO2Wrw/gQf\nYBiyKYnlaA60pcHL2BOna8lm9OFeEFQJCGCQGuSq2VYKSAkwg8Hvcyh9H2r2w8wR4D2f2UBQe9ko\nn9feV/Wk5JSZv08y3ANBRpJdFC9b5NT2PaV2oMxS6oKVg3x5bjVbSIsMx8ocdw3nxDqeMppsoCj0\nVUBZZwAkz81pvGDTQZm+MWlQ5vCUafkyW48pU6BMZFZmcLKIR+Z2qVosqBZwpN8T1mHKrLKeJW/I\nClaKuCdep5F4dnN1Z4bxvWzBnDJfDIfuGzl96fSU9YtYMFCaAbpJJu32AGVGCJQmfl5yJEanjP4h\n+TLMSJInIbWnjMiUrSBfqmNft2mMFafnxNLAAUc++ZLgYzPfI6gglDhAQq6u9q5FY980z+9Rrh0o\ns5Q6kbtuYMqqZarxvY4VuOtU/79X2fuSePFsfAsNsybyJWX60pcaTix9Y+o6JzgCjKfiLF/NU1ap\nG0ho4nOFSIwFQHLcXO2eshWnLy1Pnlajf6R86WRWZk/4ToAUcZz9nrLtgilz7n8ZMX3p9pT1i7b1\n2M77Er9fkkm7GQOKvfchYl9yJIZiykjyJRGUEXxPwDCRHarA56VKpvqhiSojehg6LjunN0KngiPL\n+bxttyiyYtzazFGLh4muJjKDcfcNZ3WtP4NO911ZNj1CtQNlllJPf23bH565pwwA7rVX4jsHLYqs\nWGfvS+IFu7emp0z5RyC8idHjQrOefNn72NwXvb4xJe4FCViYMgfzMGGtUiMxFtOXdjBon75c0VNm\nkT+sbE6i0d+aU2ZOfLpCjxPCY+3TlwZT5pMSmV4YElNmBNa6mTL65yXJl+0oX4anL1eMxBjuBSSj\nP3X6kixfEkGZjylj7H0JoN/NhApSPPKlgEAuPFsXGe9p226Brknqe9AeBKVLwPLQ1DZen7GutZmy\ntvZv7aRqhW3wjmrtQJml1AWrwmHPtTJlJe7Y7/fHXMPov6Xm5hQlIMW6njLqU5Rsk3uO8mXn9Upo\nIJhlK0dibBfMkaopU7ZSJIY5Jh/abxOIiohQZQVIzfLz2qcv9+KYMhdAmoFBJ4O0dnisAbq9njKm\nPB2MM2gHo39o+pLBLJD3vqSw58TziixftgymbG35krJoBwYMyHtf6mulTWKsgDGQXPiCbzG7PruG\nBlIc9yu1h3OoFtcnVUZMtHksqmuI8mWa5/co1w6UWWpkypTR38aUFbjjVLPMd4nt2dKeUDdlDinz\nddk5+C/6QhQQWBmUda3X0KkM8rXIkp+IppEYW+fNdRLbkBiJsXj6b7dWWn6Z6B9/s7FKbO3y89rl\ny7jP6wRI7VT+cEpsEcxg2FM2yJfe6UuebBre+/KAxpQxQDd570vK8A/V6E8FSC2VKSMY/anTl+pa\n8VgtqH25kRhb2RIZHDcYrNs62M/sWbf1AFKon9fuKQs96AOWa8Vy37D3TbN5LKqrGZ93B8rOmlI3\nmrrpD8+xcnkxnr/Xb1ZeZdUqrFVNpvAzQOaresrKAJ0uhECJDPUaoEwBh67zXvRCiH67EZE++jwB\nK55k7ol8uRJTphdUxxTVoXvKPEb/NbZZcjIOMy+bdeJT9430lNm+R+PzqmNrzynj5aOR9r4sqrCn\njCGbksNjQzEcAPn7VcAhyOZ0/b0geO8jMINkM7piygLvDUAQhNZtjVzkyANAa5QvOeDIzZRRQNnk\nHOoaosfK3nfbbUlM2eIcIsuX8bmK1upaWt8dKDu7ygRlx8oceba8CZy7yXHXtkWZl6sApHow0Qfl\nyzKHlIWe1kzqqRea8BNgJXLUkP1Fs0LPkiAHaFDWHABqWjOlp/aU2fsqIDgyZfE3G7t8SfCUpYAy\nG0CyGP3dOWX8c8rJIM3A4AJ86r58ZlD9DWtmWHOgFzH1ORubF5LpoSMl+ueE6UuGTEwyaXeNG/BO\n+hJBGRU4KFAWGnIihPRy9qEE0N8TQhWQ1RrjuPlqypRRpwLdnjLSsTXPoZYIBh3XUd3WQQYSSJEv\n4+0W1mqJTFmC9/ao1w6UWUrd3Ooms05eAn1Mxl0HvXy5hqespnoc8gyQBfbXBGUBpkz9jgZIK/Qs\nCQbWMi+Hp2LZPzFG1mSvRAc4UqXStDVIiQSDC1nPAQYVsNCLuLrZRPSlMmX2bZbiwKB7Q3JOJAYz\np8x3rbSjd29imJ4X00MXlC+HqbFwThkdDJJYDgNc+OVL2iJGlrsGUEaKxCCGx1L9XTVJRvTL8dtu\nSwNl6vuUXTpT1tYsKVEzZQnyZRQQBAb7AXWg4m7wlEUOJt0TagfKLKVuwHWT45gLlG0KnNy2K8qX\nxBtT0cuXa4KyUoQv+iLLe4CUeAFqqaLrgiGBVVahVg/Fa6Tr52UwjLHMyiGnbPidSBZ0KV/apz61\nTKvOIXVMImJWrIubwRypsofHbvqn4yF/KqknwDD6871s3kXcAPtesJLznvCDwKHrp8ZI05eMbZaC\ni3jX0PbDJS5idKaMaPQnhItSpUTNtpLkS/9xJgMkxSpLouHe5ykjHtvJOZQom0ZJpgDDcL8yU0b9\nvDum7Owqkymz+cmAXr4EgFyU64AyalZPkfXy5RrsnAaC4dOgEkUPytYy3c+M4LYqsxI1hhvwGvtQ\nZtXCgG7t2RmgLDHIdZQv3UnVk2ERva8bXzq1AgeDOVI1kWlVqWMSYbrPRLZcUNupFybPcmQic2yz\nxGMGvZlhxrSaF5Qxd2wIg7J+EVP/bpVMAZbcQ5qcM8zjXlBG9P6Qp/Va4t6XhAESNnAgYLIQCGX3\nREdjjgLhsRQgOHloohrfHSCFCz6nTBkFDK6cF0adNt15ys6uUifmtsm8TBkAZKJA06bndzXEbZYq\nbfRfEQiSbk45aiDddD+RL/35OWVeohbDYr3Clkf99KV/Gw8NyvJEpmzue/Lko03YVrXfXKS/a8E4\nOGTiCTsHRINQ5+JmeeIts3IJViKYQW/ek+FJybMcucjd2ywx5Om6q1FkhdsAP3zeMFNGB4Mk4NC1\nqFwZcGYRw3KpwKEajilp+pIQicEBK2RPmY8pYzNILZGxcoPQbUuUTCfTl5ww1XimbGEvaLfJHrqo\nYg027EDZWVPqRrNfCzdTNmy9lCFfhSlrJNFTVvSesoNIsGAWR76sssHfleopUyxHG774eqZsqLW2\nPArJl7mSL6ukvgvfk8ejMRkWSehrNS87whgXUS6Rcq1zzN8CyqxSvwa/vMww54TgTHaxAkHAAINE\nf1doQR0M2UHTfbHp3yNhYIYuXxIiMYiLGNUAT0/0p4XH8lgronzp85QRvXNaMgXRU7aC0X/yfbLC\nVBM8ZRN2rgXgD/ce+96dRv+dp+ysKc2U1WGmTKBYZfqylUSmrMj6nLI1QBnRxwb0oGwNo78GKxZZ\nbV5lVqJWTMYaQa5ZuZDVrD0nTFmafKklNo9XYsJaJfS13oAdfRcAKVI2ZTFluUXq1wwdLzPMa7g3\n+pZZ6Uj0533e4OI2yC5WadgsBiNJY8oaFFT5Urb9+e/rSc3SoobHKjDoYSS5XisaU+YHg2ymLLAV\n3djXn+hPmoQ0Tfcsj5WDKeN459p6ZK2p0RRrMWVdB8C/D/PYNy1H8ijXDpRZSt3ED7Y+pmz4uSxW\nYcq6AZQFAxSLDOiKleXL8JPYaplh2lMWNpKWednHcADreMryKniTGz1lirFKky/1jd/Td8JaJTBl\n1huww7CrGUFVEeDI2VP3nX7eIrM8wBR8MOj1Pc08KYvPuejL8Hf5rk1DdllIw2YxQDcNlNXI8hJF\nFrgPaWYwwFoRpxLJkRjFBqHpaTJY4XjKcv/gCjvpHlT50g1C41grzjSiw1PGzkYbvlOSfLkiONJ9\nqczgDpSdNXXVBVfh5Ve9HKcOCgJTto582YLGlG0G+bJeIdGfOlyg3tcqRn8tX4ZDAnv5criprsCU\nFaIIGme1lLgCUzbxPflAWVYZOWWDpywmyHXItZqUwwuzYJBijf4++TJfesrWkC+9Etvs+3UCpILX\nN7i4Gd+vd5cPBtgnsRxGFId/+pJ2XinvXKiyrkYBEY7EyMPMIFW+1PExwd9EUJ4m+9gUawUiU5a7\nQSg70b856P8Wta8FhMZloymmjAIGVwRH6piRBiridz456rUDZZa69H6X4jmPfA4OPJ6yc1ZmyiQ1\nPFbLl+swZYUEBPFGUQusa/QnhEVqUJYS5Goa4MlMWdr05cL3FGDKNOOQMGBgly+pnrI4MMiRL3UG\nnFkRjKTXDzQzCjtBGQEsTHqGGCQTlPliclZnynpmMBhindM8dNSwUXQNSpERmTJ/XypwEAAKKcfh\nH29fNTDjkBKJAKkY/LY1BN1wD9hZKy5Tpt47VUYEFp83OoYDoDODBFmcVOpcSmQk7+m1A2WeOlW3\nTlCmGDQp12HKOhhsjqeqPAdkgUauk41WQpAugjKv1o3EIHglejZHgbI0+XKUEf0M3egpSzP6LxY3\nC3O06Akky5eLBdVxnJfTl3F9OfKlzoAzK4Ip8y40c0+ZzccGsI3+QQO88Xm9AIkhm5KAw2CMDuYl\nEh8ySIu4lAMoI+zBq68j90MVVb5E16KSEqQ7X+D6JQNBIca8RKqs5ujL9nepY0YFKZa+5IEGU77k\nMGWRDLu11PALdeoTMirP8ajXDpQ5SkqJU3XrTPQ/Z5i+lN06pvsOLQQseU+zUuGxawDBbbdFCZAu\n+iqv+qfFlfahLLvwNFPfc7hQE+VLfWMKgEHN5gSetEk9zZuLz+hvLuJMBmfS07aIO0bMJ+yc2Zf5\neZ3Sk2V7GCtrFWP09y1us2k1p+mea/QPMUgmKPN6ysIgRVWQnZOyZymGKA7vPYHIwFJjOIB+l49w\nJEaYgaWyVugalFRQFgChVIAEAGVW9H5a6nZHgDszjPA5M5GhEAVq9TdYfaffB3fic9ttx79Bnb4E\n1pEwWZ6yNHvJUa4dKHPUQdNBSmDPCcpWZspkgwyEi2cIj21W8pSVAOmJqMo3q01fFlkB4ZDVzOqn\nL1dgysybYWDkei2j/4JZIXvK1p6+tHvKJj3NvhFGf6th2sGULZgVBkgxe/pDXBmeMobR39lzYI5o\nnjI62A9PfI7MgnfiEyAPVNB8bIPVQmSE6cswI0kFDuhqlBLj8I+vAiCUDARhDDmRDPdukEL+nBge\n1NTfIPVV4Hf6/VJ7TjL9tHzJ+LxrxFNwZVPgjNxqaQfKHHVq29/w9go7cNgUGYQAui5zp3czSqJB\nRsgL2wxMmYrQSKm67W9yNPlyg63AKjllZVaSQgL7BTWdKZswDoEQSC2xJRr9F7KBZ2Ph6fRlAlNm\nuwE7co6KvLBPX0Yk+lPlywU7B0Qxks4FVTNH4785GSTm51UPE9bS4Gj0lHn3vgTo8qXvGjGYhaCn\njLiIkcDKcL+rXMG8ZhGYX2rqPLoGJWRvug9V4DqiTpkCA1NGtHn4ZFNez3L0lHGYo2bJlJGkYRgP\nMJxIjARmf1Fcoz+wY8rOptpv+huta/pSCIFzqwJtW4RvTITq0CADQUYcpi+bFdi5uqtRATRQVuyt\nsvelvklQPGV52e85B6zoKeMa/eP3viTLl5kRcEo0ZDt7WiMxCExZ5M3VCgQNWc0sa5BrjNHftbjN\nwJHq6Uz0Z/T1Z6Op725kypz3BKbR3xvbYDALQU8ZcREjAQflCxWEIScCk0IGK107yJccUJa2DyWg\n5EsQDffuhwwy+IR6UIuRL8e+UkpyGDBg2Cg4kRhrypcthymzM4NnQu1AmaP261422yvdh+hYlaPr\nBBrZoJO8jZznJdEgpyTrD/Jlu4bRv+MxZfUKRn99AyZsW9IDpOFCTdlmyfQDhUCZyrVKfBJbACRy\nTlnC3pdzlsPCHFl7AvFGf5ePDaB5ytY0+ls8KW75kvf9+rPRplNjXk8Zx+gfkhINZsEZkrvo6/+8\nTdeEmZUB/JYZwehPOJ/JAKmtUUmJBoR7beDhhjxligF8Uj1lnu+Xmo0GqHNIebviwBF1675pz3oE\nR6fd6M8BZWn2kqNcO1DmKCVfuqYvgd5X1rT9v6dKmD0oo3i7evmyQ5sMBHtQJmmesrWYMrWIE7YP\n6T1ldzdTliBfqp4O5sjsucwpWyESw8IcmT2tif4x8qULlM1zymwSW2Siv3MzcuBQIjGCPjaANn3J\nWMTCE5/j9+tl5wD69CVLviTsZkKUL8kxHBLjLh++ohj9WUxZmtFfSskaLui/z+HYRk5fjuHgHHZu\nu3jI8PeNv18titM30V5ylGsHyhyl5MuNB5QdK3M0bX8IUyYwpZSQoiUxZSo8FkBYOgiUBmWU6cvi\nGBoh0NWnWb7s0kGZZucC4AiwRGLEbkhuPhUHngAnwCHhyXPhH/FMMy0W8ZRE/ySmjP95vdlos77u\nRH8eM+jPRuN4yuh5cEGA1I7fr5edA8iLGAms6N0qKPJl+Dqiy5f99OWW8jCqZURPeCwVlImcYfS3\ny2oxrNWWA8os3+9kz19CaQmcFR57CEwZixncMWVnTe0HjP6AYsr6Q5gCkNpOAkRQJoRAPnjPUqM4\n+pwyGigrh4ugaU6m9exqlFnhlNUmPc2FJuGzNm3T35gcDM6kZz5nyuI8C4sYDk/fNY3+EzO6Bwwu\n5K7Iz2v1yThCIP2RGCuAMosnxS1f8gYMOEyZl7VigEFSYC3QT1+uZfSfn0OevpUg+GkJTBnZ99Q1\nKCDHQGlvX/9UL8ffVWZ5H8NBMtzbZbUY1qpmMVbL75fbU18rnOnLyD1zrcXylK3Y94jVDpQ5KmT0\nB/qssrpJB2VNJyEEzVMGALlOfE4Pci07IlM2XHzb5lRaz7ZGqWTaUE5ZVqGTHZqsSJYvq6wieRbU\nE6rM0jwLC8nU03ea6J8QHjtnVjxPnm75cg2mzC6b+jckZ05fuiY+AZqnjGv0902xzUCoN56CafT3\nAqSZ0d/r7yIwkm3XopUtbWsnAFWInQNoif4M+bKScozJofS1nFed7NDIhu7v0kxZvKymjhNnEpLH\nlC1BaLx86bY9LGpNb5fl+nXWTr48+4pi9N8rc9RNv43OOkwZ7eIphJG+nFB9JEZHoot14nNqJIZi\nyoCwp2x4X3WxSQ6PLfKCDMokJFoh+yfFWKN/ywBlWTUOiwjR33DWyCnz3FwXRv+8AES2zvSlR75c\ngJVVjf7LJ3wng8Q1+vukRBtTlmj0b7veM0oy+meFW6Zd9PV4u6iLeDfKl2FPWTiHjidfgseUWd6f\nlhKpTJnIez9tgqwWBZA6joy4lGt1TzIjOGfKGDsYrCJfcqY+d0b/s67IRn/FlCXEYjQDKCuIF6wC\nb6lRHBxP2bhhbRpd3N+AFSgLT18CQF1UaZ4yZbon7K2mtzhREmYCU6afigO0vAaf6qYU2XexuBme\no3kp4CBN03Sxt05OmQOUWWMbcv7NleUpOy1G/wH8DsfBOwlJ9NBpZoUUiZEzmDJ/iGuwp9G3zAMT\nnwAt0Z8imQJA29+vUpky7bViecqQJKvpnUyooCwzjf4c2dQw+jN7jpEYDBnxMHLKdkb/XdlKyZd7\nAaP/dmDKgjcnT7WdhCB6ygADICWm+vfyZTiaAjC24VglPHboRwiPBYA6kjnSPdWCSqDldU9l9k+I\nxNALDcHoDxhydGTfhawX8JQBs6nhnA9+7ZEYDk+ZTb7MMjYj6TTdWz6vM79LvZ7IwHon52YDFX5P\nGX0PSiCwoBryNH360h9NARCYFcO0nmr0V4wgde/L3ujfhn83sAclABoQxBCSKwRTVpt+XnWvpvac\nxAFxvF3GdcRm59S1EhVNseLel5ERIGdK7UCZo0KJ/kDvN9uu4inrANGQmbJyLfmyG+RLClOmwEoi\nU1Z3NUoxHNPTxJRNJj4DfcfPqZiy0yBfDgvSxOy/RqK/56Y+2etOFbOvlNIuPbk8ZUN4rJxHGjCZ\nwSBTZgxUODckVzIxde9LTiSGjynLaDIxCSCZ8iV1+tJznMnMysD8Vj7v3KKvO1mf1BMYEv0BvcuH\nt69nD0quv0tkQ6I/R1abecpaIuBVPfNylC9PUyRGFFO2pnzpYfaXfXeg7Kyrg2bwlFX+8NhtPXjK\nEqRE5SkryEzZbBGPrG27peeUKVlvhb0vK6KnTPeMYHDMGpkyBijTTFncMZ5u7URjyqbyJe/zqhyk\naSSGJ6csN8Cnqpzn3WuGDLnF4ubKKZt/Tt23IoMj6+ec953Jl1YgCPQLCgEMNl3v9+PklDl7Ej2D\nJIDUTj1l3vtBXgAi9/ale8oYTFkoxJUDHLp6MPpTmDJ/iCu5J4AS2XpGf+JwQe8pi5lGXCESg2W4\nPwyjP4cZ3HnKzprar1sIMYS1OqrPKetP3FSjvxAtCkbac2pP9XpyTpkGgivIlzFMWcrel8pTRgFl\n+UpMmQkcArLpxMcGRBn9FUCaMmXuJ08tmSYwZU7g4PKUzT+n7kv3slk/pyqLZ9B7rRQ0mTi4iBsb\ngwPjwusMlC6q4CJGYpAs05dWIKj7+r9fLigLSqbAKE+7QlxbBms15JQ1FFCWFQDsYdd8T1kW4Smz\ngzJWPIW0P9xYywJSkiMxWDLiCtEULGZwRdn0iNUOlDlqv26xV+QQQjh/55wqB+Q6oAyiGb1Wgarm\nxvDIqtsaFXGbJeWFqNfwsWlQRvSUFe6bOrknEZSpBbVnyuKnPqfypQJbAaZMLXCERdvWz/xbfV/3\nzXUhmQJ8UOa66TsGKvQ5tNiUnP55vQySY+9L871OKqfJpkG5aya7WAHvvC/R6E8FZVaP4KKv/+GG\nzKzo9xbYb1OVZ3qax5QNnjLK7ilCDEzoEiywwYoYmDIKOBLC6s3kslZTTxkFlC1lcS47l2T0X4Ox\nYnnKdntfnnV10HTeOAygHwKQCpSdxulL64Ia1ZexzZLyIKVOfLY1KipTpsBnVqaFx6r9/CjhseYi\nXtBltXlxcsoWwIHhdTL7mX8r1NfqKWMOGDgXN4+nzHzd2JfODHoXVEeiP+C4PqlMWUhKtMiXzp4A\nyUNH8iAZzIKThVz09Ye4ApTpy2Hvy7xCK1u0IY+XR55mea3aethmibilnQPssz1lEHTjFzBIAAAg\nAElEQVT5ErA+zEWFx0pGXhiwAKHcSIwxp4wBygJMKKs4nrLEHVeOcu1AmaP26xYbj8kfWJcpE4KY\nag2PDMSsuqMn+msguAJTVmhQFt77EgC2eWJ4bMvwlJksJJFJmdfC90Q0+k88ZREhrsAclDE9ZUym\nzJn35MkpM9/r2JfBlPkWVIenzNoTIIPfsHw5ZSSD9gKCh44EkAxmgWRpCDC/MfIlQLgneM4rFpsz\nyJc1hSkDnGCfHRUBMST6U8HRkiljs1ZZOcq0xPc5Z0Lj5UsuGIy3eUyKAwYdjOSZUDtQ5igKU3as\nzFfZh7JpeUzZpkiXL/tU65aeUzaX2CKrly+H40r1lGVF9HSPSu+mgjIlsW3b7QCO+H0X+9wFbnKT\nnkDUTc7KOHiePK1yFxMMOr05AU+ZNUCWEeJq7QlYPSlBTxlFvgyxOZbpS2dPYPDQhbc7Mv+Wv29O\nA2UB5pfMrOjjQXw49JxX/OlLiQ4yzM6pvqsa/YngqNhze8oY8uXW+H5pfaf3jahsNK7RH0iKDpqU\nvn6pIHQlMHjEagfKHEVhyvYqQ75M9pS15KeoPeV7SgBI+iZB9JStxc5t2y0qBcpCOWWKzcnzJMO9\n/luEvdWm8mV8NIX5t0KhtVb5chWmLByJMfk+mbKpc6Fx5ZQ5mTL6cfbmPVk8KWPosS3VnzZgEGQ5\nZouYtydgZVJcPb2LuHFe6evTd08IML/kRVwzZcPWa5RYjIDRnwRWBqYMIN6HCvv5zI6nEEAnBFq3\nvXhaFpASw1q1kGgBmscKWIKyiEiMuq15jJWlb3TFMHS78NizpyhM2TkmU5YAkLZtAyECW6oYtVcG\nprsIpW9MRE/ZuKASnlAdpWS9EszpyzzeszBZaChGfxN8RkZiLEy9bPmS72WzLuK+8FjbsAhzwGA1\nTxnjpu5dUB17X1p7AoP8QTf6Uz1lVsA76btSJIbRdxzECXjKVonEUJ6yHpQF70Oe6Wme0b/fZgkg\n2igcDzdsKRFDQLhvstUsy/kck64PAA116hNYnFds8JmV/XZvhJ1PJpW4DZ4ugud30Xe3zZK9hBDX\nCSH+RgjxeSHEyy3//hwhxF8LIT4hhLhJCHG58W9fGn5+sxDiY2u8nzWKxJSV63jKuCPam9CTOKF0\nqjXRU7ZGDEcrW0hIlGqiNZRTpszoWR4/BdnxQNka4bGLhYZq9NfTl7T8LG9PwO8pyyznEDOKIxiJ\nMc8pc00NRxj9rQuqI9Hf2hMgP2kHJ+dmjGRYvlwrEmP0HDmP7aQvLRIjmDqvfX09KAs+kHqYMrZ8\nqZgyykOwg5Ekf86hSjlkUXom8Sdl8TrFMGUAhtDaOJASM1wA9ANgAHhgcI0pSC4YXEs2PWJF/PTu\nEkLkAF4H4CkAbgXwUSHEH0opP2X82hcBPElK+W0hxFMB/C6Af278+7+QUn4z9b2sWQdNh/M2/sNz\nzJAvUwDSQaMWGiJTVqRLiXpxY+59SZ58spQ6RhWInjI9fcnfKHves8yZoCwhEmMJyvy0/CJCIeJm\nY4/ECHvKpkwZDwy6mTL33peA5VqJMPqTc8p8YIUZieFcxGeyeFC+zDfAwXfSegJWT5k/QNbPwOrr\nMzSVqDyT1PuQLxKDOX1ZceRLB9hnh6qq9woqU7aUxWNYKwD9RuiRICUaCLbb/jMLImcTEeFjLU54\nLOCMPLmn1xpM2VUAPi+l/IKUcgvgbQB+1PwFKeVNUspvD//5XwFcuELfQ639uvPuewkoo/8aTJl6\n8qSdjMfKveSeXE/ZGvKl7gnFlBHlS3H6mbJttyV5f7w9tXypvGKM6Uuu0d/nKbOcV275MsJTRswp\nW4Mp8y6o3XJazTugQvy8XE9ZUL4kfL/sSIxQT0Jf7vRlmff3oaCU6JmS401ftlDvjOYp8zNldKP/\n8DoQNkIHrLJajL8LAC+KYzZgwB0umAwcZUU/4Ujtu4rRn+tlWwkMHrFaA5Q9FMDfG/996/AzV/1r\nAH9s/LcE8KdCiL8QQly/wvtZpQ6aFpsinFO2xvTlvn5C5TFlBwknZLSnLIEp0zcJPX0ZMPrr6ct4\npmxy0ydMFU2iIiKZsoUczZUvI0a9rTIQYUPylG2WnMxKwFO28CCtxZR5PGVW4EAEg8HFbR6JEZIS\nKaCMAlaMviT5MuCRJAOHVjFlw8NhSEp0GO6Bw5Yvl1OQQISnbCDIyHd4C9PN+pzGeyPvJAAsQKhm\nW4nb943DIgf0nkB0dNCiuqZn5zIiLInY+eSeUMnyJaeEEP8CPSj7fuPH3y+l/LIQ4kEA/kQI8Rkp\n5X+xvPZ6ANcDwMMf/vBDf68HFKasygFkEMhWYcpK6vRlUUBKgVOJKfcA6JEYSpIR6G/KVDOm2VMx\ngiB6ytRNQmT9xScl/elN9TQX1INhYfCA0AnjEBkeu7jps/e+5D95WpkViqdsss0SDwxy5Usna8Xc\nGBxwecos8qULCAJko3DQ8znrG4yPIYBfWiTG+P3SIjGITFkw0V+Bsk24J+AFg7zpy5o3fenoy46n\nGGTLmmz0t0RiRMqX/U4CRDkv3wDtt/V/qnxG36401p5dwwNlRQXs30H/fVe1NbPvzujvqi8DeJjx\n3xcOP5uUEOJ7APwegB+VUt6mfi6l/PLw//8BwH9CL4cuSkr5u1LKK6WUVz7wgQ9c4W37i8SUDf+e\noUgCZYrxUvljodoMsmkKU6af3ADaNkvD01bt2E+OUuNwwVDknLLhphLj72JOX04jMYY8KerNWPVc\nyJfMvS+LDSC70avE6DkBK4ScsoWnTIFfRk8yKMstQFD3ZTJl3ulLw+jvi4ogGv3D05fT75dm9F8z\nEoPqKQuAMmYkBlm+dDBWAGMXgaEvy1PmAKHsvS+V0Z8sX9qN/gKCzFrpawUi2tu17bbkzwjMhn+4\nTNla8iUblO08Zbb6KICLhRDHhRAVgJ8A8IfmLwghHg7g/wXwXCnlZ42fnyuEOF/9bwA/COCWFd5T\nclE8ZUWeocozZCJPi8QYbmpUOr0qMkDm2G8SPGWmfEm4EIQQqETe0+mpmWFsT9lwmqZOQhJycPQo\netdEb+WxWNyoOWWmfAmkb3nkyymzgRXm510vp4zO0JH2vjRzylaMxHAa4B05ZaczEoO8zdIqkRjD\n75HlSzdTxjLddy0KJSWSjf5rhMcqpozop7V8v3UXx1o1ecnzdpnbLLU1mZkze9bd3cRYdS3d5A8k\n7U18lCtZvpRSNkKIGwC8H0AO4I1Syk8KIX5m+PfXA3glgPsD+A/DSdlIKa8E8E8A/KfhZwWA/0dK\n+b7U97RGUZgyANgrM4hEpkzJl5uCBso2RQ4pCxysEIlRET1lAFCKvKfTEychtXwZ6Kuzl5DAlJkL\nKmFvtcnT4iDPoDkY/zehNMgmbrO0kBLNvtW5pJ7snDIrU8b7vO5IDPvGwl75squBrgv6SVb1lFGZ\nshBA0udVOe2ZEB5Li8QYQTddvnRfQ2Tf0/D9VsWxcE/AHx7LAUhtPQKkFSIxyKCsU6Asfs/NuuMB\nJG2joKbqAwuQooAguacG9ncTY9XV9F0EgOhBrKNeq3jKpJTvBfDe2c9eb/zvnwbw05bXfQHA5fOf\n393VdRJ1K3tGKlDHqhxdMijjGf1HpiwdlFGZMqAHZVuRLl/qTxm4AIUQKLKiZ+eAOKbMKl+6j/Mk\nhHPIYeKCweU2S35Qtgj+NMERseyRGMzwWObndTJIjoEKL1Om+mZ7cT0BfySGbRHPN/177VrvucgN\njw3Ll4Oc5/FIRnvKvIn+/qiVuq2Rixx5aGHkesp8kRgcgNQ1KAdxhxweawNl1M85FGu4ALBGNWxb\nppSo44CY3q6Z0Z+qvgAJnrLIkO1FdQ3dPwecsUb/XaK/pbZt7x0ggbJhAjNFvlQ5ZZtQPtBQmwGU\npWSjaeBAjMQAgDLL0QgRTVVPYjhA61tlVT9cAERdgJOnf4KnLBNZDwSV0R+I34eSCMqEECiz0pAv\nFThaS770eMrmG5IDdCmRm1Pm2/sSYLFW9m2WlqDbC5CIn5frKQtKifkGgBzfr61nWyMTmR84GDl0\nLKO/wzPYdA0ZHCEr9N6X4W2W3IwGT75sUCpvK4kpc2xIzmSQWMMFgBWkkI+t6qm+z5zDHC0jMeLl\nS07flbZZamMYuh0oOyuqVqAsp8iXOYB8lcwwqnxZFRmkLLTsGdVTAQdioj8AVKLsx8Ijn070DVgt\nCsSpT/0pI8DgJISTmIOjAVIEODJ7LsJjPROrZVZa5MvEIFdPTlkmMhRixvDqvsRJSJes58opczJl\ndDDoly+XnkGvv6ugfb96apjqKaPIl4D38zZdE2Y5FKMhhJ8RVBUAg2SwMkzJeSdbzVLgyAIGWbEN\nXav3zWUZ/Wd9+aCso/c0+856BkN5zZ7qHGLJl1MmlA0E80imjDGo460o2XQHys6K2jZ0pkxttZTC\nWm2Hi32P6inLFVOWPlxAzSkDgDIrBk9ZGlOmPyXhhlFmBiiLAIOTBZWQU6Z7Tpgy3ufVx3YeHhvY\nc3Nh9OcEuVojMQJetrycyZeRRn+Xp2z28zVAmdf3ZDBHwZ6AcZwT4ymUMXqQIoOsFUEmJgEHYxGj\nMWV+MEhmVgZDNmm4APCeV0piIxnguxqlYIR1O0Ao2wA/gDryPT7fALKdTE+reApyzyj5cjOZFuf2\n1D42GSFfruYpuxtk0yNWO1BmqS2DKVOp/ilMWdOqSAwiKCvT5cuJlEi8EIqsWMdTpuXL8FNgD8qG\nFyRPX9KZsm23HRdP7ubgTPlS/e4kpwxg3XDskRhhL9vkHIqULxdSogP85lmOTFgy/RhetuCG5CKf\n+LS8rBWRKVNA0Lnl0ewJnxSJAQQzw4LAoWWCssBxrruath9k19AlU8B7Xm3bLR0gdQ1KM3U+VI7j\nfFqYMmByXm27LXmvTcCMA2IyZYD+frmRGKO3NYKx6pp+UCeluJ6yHVN29lTd9CCgJMmXGWSXaPRX\nTBnV6J8P7FyKZMqMxAAG4CBE9FNRlKcsr5JAmdVTFjjOZV6OG5ID/EiMhXzJBWV8L5sVIBGmPq3y\nJYMpK7JiyXJYwJGqKqvcRn+ifOnMe7Lc1HORQ0A4mDKip6x1fE7dt50c4zzLkfticghgnwSQTKYs\ntN8mYBxnR7p+uyXmhU3lyyBA8jxksABS16DMuEzZsi8XrFRdJCib+7tiPGWcsGx1nIfvlwyyVU91\nDkn/4MuiIiJ8rMX2lO0tGMkzoXagzFLbVo18E6cvE5myOE/ZOj05oKzKqyGnLFK+1In+wxMVcc9N\nDcoS5EvqhuSAARwipiAB49gSw2OBuXwZZ/RfAAcPONI9bdOXRNDtXMQ9MsRkoGHelxjk6sx7moEj\nYMjXm39OVUQwGJxisySRLwDvpG8Y/JKm9QxQpsOdvfKlWrRT5cuGvrUTYMjEy74k75yqtkFF+Zyq\nXEwZV77kgjKLXFu3kZ4yltF/6kWN7cnPKfOfV+QaGFhyrQUGj1jtQJmlDgZPGYkpK3LIbh2AtEfM\nwuqnLws0a4AycDxl5SqJ/troT9xzsx7kgxSjf5VV4xOVIHrKIo3+OuJELTZt7QVHAMaJTyDKy2b1\njwRkCCdTxtiH0rkxuOO7XfjYANbn9cpdrX1qzAoEAYPBCYMy/8bgy+Ns/Zy6bxjs0zxl4+IphLCz\nkGYFPINkD9IAfklAEPDKxGz5crh2g8MFgPMhgx0VMYTG0iMxln2jM8Ooaf7AAqSwe2pP2fLhxluR\nU+qL6hpeeGzkQ/NRrx0os5Qy+pPCY6scXZclRWIocHWMwZT1PrbT6ykr86r3lCUyZYUCZQFwBCgg\nOICyGKbMZK2IG97qBTXS6G+VL6k+NmAhQ1DKKskQQNlEemI+eTpv+p4n3gn41H3pDJ13oXHc1J2s\nFdHoH2StbKBsfmwnfQlGfwqbM2MGvUAQCC5ivOnLXEe5kCIxAOtx5suXHKbMfpzZUuLAdNPlS3X9\nxge5jp4yxhI9Y6zYPRXzKTt+XhiQzljFGP2BHSg7G6pue9BAmr4scrTJTFkz/C2efEl6WnTUJJ6C\nAcrqBKO/TrqXkgSO+p7rMGWFKMhPYmtEYkwypgigzC5f8oz+6UwZT4ZwMiuevlVWLR9gGIMNXrnL\n0dcJyqiRGKHFzSKb+uVLmtGfFIlhxKwEARLB6E/PKSt1zxSmjJWlZXikaEZ/Owg9ffKlYfTnMIIw\nABKHKZudV7E5ZVvJlBEtIDSqPAy7t+9Ovjzza8uQL49VGdrWMlHGqKZjTl8q+VKmyZcC/b5YdE/Z\nZp29L1s6PV5mZX+TAKI9ZTq9mzhVNEZi8PPCVM/Jgtq13oyySU8gzuhv84/MFu15LbxWzL7ORdzi\nsVJV5qVlQ3Ke0d+50LhAWe6QL3Pa9xvMmOrqxXF2+tgmff1Gf46nDOjPIe+D2mqRGGPfycOEqzwD\nFayk+65FlpfLfL1Q31SmbLA98OXLFZgylnw5Bb/sXQQygymLki8TYzEc9gN337j781GvHSizFMfo\nrzxlKZlhSr6kXkBKvmwTmLK6q1GKrN9Vkuopyys0ENHZMOPEJ/2in3rK4uTLcQ9KGhjUMlCkkXRx\nAybQ8hP5MtLoH8OUNebkErOvE6x4NhZONfp7FxqHbOpmymiLSTCEkytfEoz+tEiM6XnlBYJA8DiT\nvVazfLQwU+YGg1z5st9JwAGyiX25DFIm+43Q+dOX43nFGmjAEO4sgTrjTF9OZeJoIMj1lK0mXzI9\nZTuj/9lT2yESg5RTVuVDun7ClkeygZSBLVWMqvI+0T+JKWtrVBj6keXLvcFTFvdEtO22w81Gki++\n/qY/AIdIUKbHwjvak5gGDgnTl4sQV458GbP3pe0GHBgxTzb6e+VL+3G2LuIM7553zN+Rc+T0WhFl\n4lhP2eEb/afg1znQoPv6jzPd6D8ysCRQ5lm0gyykWcZOAjymLC2nrN9z0xGrQuzLBYIA+p4JkRjc\nRH8d5RLNlKXKl3fT1OcRqx0os9S492X4gtisER7b1YCk07ZCCOSiQCfTmbLQVKBZZbFJi8RQN0PG\n6HOVV/2TGxAtX04M99SJT5MpiwBli7wwytZOXSIom3+2wHEuckd47CpGf4enzMbmMCMxvNsdxXjK\nCJEY3sWtXT7hk+TLkNGfJF+O32+RFf6NugOyaYx8SWKtPGCflTo/MCkTVtnb1w4WuLIeugYFB5RZ\n+rJ7AiiAftqdWrPzihuJARjKRIynLJkpC9s8pn13Rv+zpvQ2S4SMGJ3onyBftrKBAOMiAJCjQJsA\nyprh6Y/zZFLmmySjv74BM56IpkwZHwxOphIZnrJtt2WDFN1znt9FkE0nwGFVo797IVhEKDBzypys\nlef7tcp6nL0vfYu4gxl0Sokco38wEmN6/S6k4UlfYqI/IxJD9STllKUm+huy6SpGf4anDFlOly89\nkRhspkwI3jZLwIIp4wS5AkAJ9MoEtWxGfyYQ7PcaZjJlxBDmYHm8qN6+O/nyzC+9ITlp78v0INdG\nbgHJu2DzrECHtOnLEoI17VLmKtE/3uiv96AkS6YDQMrK6EiMqaeMIF+qmz7RCG7rOVnECTebyUKT\nZf3vM43+ydOX6j0fZk6ZzYzO3PtyNU/ZYUdiuNgcwmISY/QPmu5DRn9mThlAlS/9kRhkNmcAocE8\nNlUOEMrqCfDlS4fRn81aSfDky9l5FQUENVN2d+WU3Q2y6RGrHSiz1Dh9Gb4g9opcT0JKlb/FrFY2\nLPkSAHJRokN8Ty1fMmjqMiuHvS/j5csiK1g0tV7Ei01cJIa50BCfxPRNP8uiwOBicePKl0C/oKR6\nykKgbO61EqK/sVPly7U8ZRGJ/tZyMIPuRH8aMxiOxLAk+vvYHApTRs0pM34nCJAIRn96JMYoX4a3\nWfKHx5KBg9pJgOop8yX6cxikluspWxrQ2T0BVABYj/rGw03btWhly/exZSW2oMckAYhi9q3lGRCy\nVkSe4z2hdqDMUm0nIQSVKcs1oGoi5cS2ayDAZMqGNO3YnnVX9x2Z0zm1EJB15N6XrekpY8iX7eDv\nimTKYuTLib8rhimLAGUTZoX5ea2LeMBTZpcS91hMmX2bJffntZruGQyd1yfj85T5IjECi0k4EmPJ\nDPqN/mGDMp0pG7/foNcqZPSnsjkdU770yFvR05cJRn/u3pfoGlSCERA+Y36llHFSopS9h5daRl8d\nP8TtmSn5MiaaIhEcEQexdK0FBo9Y7UCZpX7q+4/ji//2h3DeJryAK/kSYOTYzKr3lPFp5pSedVej\nYnrK1A27SQiPjZEvdWZYxEW/9JQRjP7mTT8CDOrPqYqSUzZnVorNOkyZ50nZuTk4de/LzhGI6csp\nswFBBkMXZsoYRv+86EOMCRuSh+XLpacsLF8GIjFC5+rsOAe9VgGmjGxGN84rkpQYiMSgT1/2xzk4\nZbroOz3O3KnEXr5kZFHOtrNqZAMJGQHKwANlxnkVC8r6wSomU7bWdkfEQayx787of9aVddPjWZlM\nWayvrJU12+hfKFAW2bNua76nTPVsTsX3zEqWoXNiuo+QL5u2mW4MzonEANjgCIiTL5em++rwE/2t\nrNWG3NctXwZyylxSIjESwwvKLOA3yFolJ/ovj7PX30XwDJImIWcPGUGAFIg8ocuX43VEki89YJAX\nHjtOXyZFYnCnEgerB99TdqD7AYiIxJBg3fEMxiqNKePKl/49Vcm1M/oD2IGy5NorM23SjwZl4DNl\nyaCsq4d9L3meMgCoE4z+vXzJS/TvZIc2Qb7UEluMfMkER4DlSZwwbaoAkvYIFnssZtC6iBNyypam\n+yo90d/nKXNmhtEYOq/Xipvor/sG5MuQv6utFyCU5O9KjsSYPmRYv0+zsryPwLEcZy2xUYADd/py\nxb0vWfKlhcHpZIdGcpmyFqVgTNjP5Fr1XjnhsUC/HV0DhmfYAN3qvcZEYvSeMg5jtRZTxvWUnZkb\nkvOQwK4WtSkMpixSSuxkg4wrX4p0+fIcgHURqAu8TpYvT7JAGQDURYU8cu/LY+Wx/j+IURxlXqKV\nLdquRR7DlM0XN2IkBjAAurwcwBH981oZBzUg4elp9ZQl55TVQHau9TVONqfYI4Ff7yLueNL2M2Vh\n2TTMlC0Z2HA8hRv8Silpvqd5JAYFrBR2MKi8qXSj/yhfBvfgzTKnDYA3fTmAsgy4a3tX+PezfMFI\nagaJw1p1DY8pU7J4OwVlbNaqkzyjf1YA6COLonvmZT/TPzuf67rGrbfeiv19y4OTlMC17wD27g18\n+tOsfpO65o1AdT79b+i+90nru3Lt7e3hwgsvRFnyjr2qHShLrL2yT/QH4lmrLoIp0xvWRvbctlvc\nG+DllGkfW2pOGd1TpoFgXmEvou8ErBA3vNUASTbIcz4oWwCkrhnZAkepp2gN6BhTkPp1VvnSDo6A\nGfhUN+GcyZRZIzE8Rn+XH4jI0PnlSzv49QIkwvcbI1+S/F0OZpAMkGYeHGcem1mOhwzNrJC2WTIi\nMTim+9lDRic7nr9rkKfLTNDCY1Vf45hoKZE1fVmjFDlOce61xvR0rHxZyA4nOUyZEPr7jfaUZZVV\nvrz11ltx/vnn46KLLrLber5yAJz3T4B7PYTVb/k3HkT/G1ICXz0Azr8AOP/B8X1XLCklbrvtNtx6\n6604fvx41N/YyZeJ1cuXaZ6yKKZsLfmSkaCsRtdjt5TSN2Dm9CXQM2VRkRiL6UuapwwYbqYFXzaN\nmr4cbtj62DI9dFGeMgN86mIwg879/Hw5ZbYNyQEyCN22juECwCtfuvehDINBb0/AysCS/F2uEFeq\n9GTZkJw0CelgrAAicDCm5EhAELBeR4phY8uXVE+Z6mtjyrhGf8HMojRsD9GslZS9lMipOSjjAsG8\n6IcLZufz/v4+7n//+7t91iLrQVJsSQlAApwdDITofz+l78olhMD9739/O6NIrB0oS6w1jP4dajYo\n0wxSZM+ma1ABzET/NKZMT+s5DNnWnsONbJvx88KAeXgs3VOm3i8nIsLsObkBU8Jj5yCbOW3adM1y\nESeCsgmjw/DQOTOmAjllTdcs8/WIoHvV6Usg6O0ixRlYpsaCWx55wC95EW9nkRgk+dJ+nFnAwTjO\nRVYwmLLlHpQAw/c0XEfBkNx53zZVvmR6yoDJ9xsLkKqu61krTg2fN4oRRG+L2QLW68g/+CYAdKxe\n9j/DGTcdfl+u0HfFogwI+moHyhKrzDMIkcYgdbJBJuJAWWzPninjGTpNiS2qZ0xOmQKCRRkViTFZ\nUInTPSP4jMtH27aWSAwuKOPKl65Efw/4nYBPVcTQWm84pec461iVuQ+J8HkVQHLnlNn7qvBYa9By\ngBlsZQsJ6Zf1bJ6yfBhQ6Vr7azxgkAyQbExZCDi4mDLOIm5GYvj2+DTLwkiqexc9PLblTV/qvtM9\nKAEuU1ZHMGWbFZiyro+n4NTAsMdPXxb9LgLMnQDWYcpi6mgxZWvUDpStUFWW6ilr2UzZJtFTVrdq\n+jLGU7bGhuRET5kCgnkZt/fl3FNGuElNwGes0X/hKePKl3S51jlRFjjO4+AGPx/N63sKeMoAy3lL\n6Bv0Wjny4Kwyrdk3sN0REGA5bJEYoQcYj2yqZT1mJIaKj/Hu8uGQxdX7pO19aST6UzPDLGCQDRw6\nI6eMbLp3MGVc+TLEfM7L+H6jWCspe1DGZZ8Ghj3eU6bkS15EU89YpYAjOf4dVt9sfG1EnXfeeQCA\nr3zlK3jGM54R/XfWrB0oW6GqYQQ6FiBJNDqhn1rJoKyrUciO5SkbgUPkcIGaKAtENUx6qkU8K1ZK\n9Gd4yrqaJedZe+q+h8eUORdxqny5yEejbQxu/o1pXzf4dfoSCaAsuLh55Evz9ZMKRGKQmBVHJAYA\nf4CsZw/KYE9gwcBqFtK3y4dnChKgesrG64gEBAHrQwZbvhyYUPKG5MDivGL3lHIAZUz50mDK1DnA\nBoJSYsuV5oa+0ZEYIo9jypAqI6rz5+6RLx/ykIfgne98Z/LfWaN2oGyFqnLPTd69XjMAACAASURB\nVJ9QEg0ywXui2QxRB7E9t92WLV8mDxe05obktCcxLSXmRVx4rOm1onrKTMC7SiRGWDZdMCuMvk7g\nQMgpm/TUfWneLsBx0w94yhY9AVJobfDp3xOJYe0JBL17JMbBIk+XoXuCh6EjL+KG4d78ff+m5I7p\nS06WlsHQeVlIsywPGSwpcQBHrL0vAScoo7NzvfxcCaJ3Tvc1mLIY1qqtUUlEMGVV2jZLouj3N767\n5EsPU3bXXXfhh37oh3D55ZfjxIkTePvb346/+OtP40k//C/xmMc8Btdeey2++tWvAgD+9m//Ftdd\ndx0e85jH4IlPfCI+85nPAAC++MUv4vGPfzwuu+wyvOIVr9B/+0tf+hJOnDgBAHjTm96Epz/96bju\nuutw8cUX4xd/8Rf1773hDW/AJZdcgquuugovfOELccMNN8R/ZkftIjFWqCovcRKnmSkrZnIXs3r5\nkrnNkgYO8fttjvIl7WahmJVopsz0WlFzyszFjZFwD4xj/pPFjeIps05f0qMpAIv0REj0n/RUfYnb\nHQEupizsKVvKl+EpyCDL4YnEsPYEgkyoYiH9e18uQWhYvtwAJ2+z/hPLUzaLxPD2BPrPWy935CCz\nc1JOvl9TAve+1jIwwwIOig3hTl+mRmLoCVEmKDNAaBRrNTBlTRRTduC+JwSqzDLUge33fvX/+yQ+\n9ZU7pj+sTw6RHF/nvd+hHvXg8/ArVwI+pux973sfHvKQh+CP/uiPAAC33347nvrfPxnv/r//Ix54\n6VV4+9vfjl/+5V/GG9/4Rlx//fV4/etfj4svvhgf+chH8OIXvxh/9md/hp/92Z/Fi170Ijzvec/D\n6173Omevm2++GX/5l3+JzWaDSy+9FC95yUuQ5zl+7dd+DR//+Mdx/vnn45prrsHll18e9Xl9tQNl\nK9RGme45ngOjpGiQg/dEszf03I8AZdowLUveNkvq6V8mxHBEe8pyNlO28FoRdxKYLG6MhHvAISVG\ny5f0jcEBy00/5CnLLKZ7T36WWV6Wg+ApWzxMEOTaWPnS6p1TFRhsIC3iFhAaZMo8YJCca2Ux+gMB\nUFbsAfv/uPixZudCPQ1wRO4J9NfRwXcmP2JJieo4Zrk9X8/Xd3ty0ZMOysbfP61MWdeghETNBWWD\nTBw98SkKNDGeMogUa5fBsrlB2WWXXYaXvvSleNnLXoYf/uEfxn3ve1/c8pnP4SnP+FdAvkHbtnjw\ngx+MO++8EzfddBOe+cxn6tceHPTfxYc+9CG8613vAgA897nPxcte9jJrrx/4gR/Ave99bwDAox71\nKPzd3/0dvvnNb+JJT3oS7ne/+wEAnvnMZ+Kzn/1swoe21w6UrVCKtYqXL1vkzCeazbAZ66maD8rU\nRFnZdXHbLHVNfxExTZlT+ZI5fSnyqLww829QozgmbA4zPNZ6A6bsfTlnkJjbHS16Evra5Ut6NIW1\nJ+DPKXMa/QnbHYWe/h2fV7OtLvnSA35JUqIlEiMIVlIjMbquB0gWT5lfvkyMxFAAPmeCsnwDNN+c\n9uROfAJ6+lL1DIKyfAO03170ZO0igF7WU1EupMiDfAPs92xSiqesQYdOdsgE0WmUb4CD78RNmQIo\nRdbLlx4w9ys/8ujlD7/5+f58fOAlrH66mgPgHz7ltZRdcskl+PjHP473vve9eMUrXoFrrrkGj/7u\ni/HhP34H8ICL9e/dcccduM997oObb77Z+ncW399d31hci5vNuBNKnudomjh1KKZ2nrIVSjFlwe1G\nLCWlBETLli+PJYAyfQPuujhPmcD45EqsCWvF8ZTpnLKsXzw7+pPj4qbPzCmLCY9VPSfAgZNTpjdC\n3+uf0gmf17m4EeXLqdGfKV86E/0jPGUBhk4vNM7wWIenzDcUE9jBIAhWLOAIIMiXqZEYGqSMfb3g\nc9I3IRJDM1ZL+dJblocMdjba0JflbZ2B0FhPGXsHFQPsRyX6d00/Hc/pqfqmRGKIHK0QaKkgUFWq\n4Z7AlH3lK1/BOeecg5/8yZ/EL/zCL+AjH/kIvnHbt/Dh//YXAIC6rvHJT34S97rXvXD8+HHceOON\nw5+W+Ku/+isAwNVXX423ve1tAIC3vOUt/R++/VaSOvDYxz4Wf/7nf45vf/vbaJpGM25r1w6UrVDH\nyvjpS/30zzT6q577EZux6gvWspj4St+Ah/3Vonrq8Fja5x2nL4dFniHXLm5MXFDW1eOejEQTq3oq\nTs8pG16f4u+i5pRNPGV7/c219T9geG/6hJwyayRGitFfgSPLeeWUTFVfinzp20UAsOaUOXsCA1iw\nLwTkGA5gKl9SgEMgEoPMlBnhscGegD0Sg8NaGX1ZGY2zvur6JHutNFhlxh4Z55X2JXI2JB+YMoCp\nwAzTtewp06FK0Z/HTQwoS9Mvjb9jr0984hO46qqrcMUVV+BXf/VX8epXvxrvfOPv4GW/9lpcfvnl\nuOKKK3DTTTcB6AHXG97wBlx++eV49KMfjXe/+90AgN/+7d/G6173Olx22WX48pe/bH6A4Dt86EMf\nil/6pV/CVVddhauvvhoXXXSRljjXrJ18uUJt8hKQiaCM+USzVw6esgimTDMOHS8SQ9+Ahehv7O69\nrhc1eRKP2WZJ3STaA6DcI712wawQozh0bEO3NcDR1ru5tyq3fOlnBhcLqurVHABqQ3VOT92XyZQN\nDCyafSA/z93TtVeilIB0g1DnhCAlEsM3ISiHkFbLcQ4b/VOYsiU4AghgxbNTBNnHNuvrBZ+qApEY\n4a2d1HEepi9D4FOVRTZlyXqGbKonPinKxHz6kstaaaO/wQhSXmoLj+UwZW09grIYpiw20X/gaWoh\nObf3YfrycJmya6+9Ftdee+30h9/6Iv7Lu/8AeNAjJz8+fvw43ve+9y3+xvHjx/HhD39Y//drXvm/\nAt/8LC666BG45ZZbAADPf/7z8fznP1//znve8x79v5/97Gfj+uuvR9M0+LEf+zE87WlPI35Aeu2Y\nshVKM2URnrJR7mIyZcOiHWP012Z0ovFdlb7piwSmLCvJhnvAAA7ZcKoy94PUPQF+JEZbT8ERpaft\nZkhgBhcLqgkGA2WV9VSEADunbEPq61xoZov2oqeLzck3PbByJeD7egJOcAQEdr9Qi7aDCQ0CB8Pr\nNOkZlC/dYJDmY1PH2fCUUXbcWI0pG3PKgj0Bb3gsibWKli8dOWVU1mo2uENnylKN/i1KRICyGVPG\nB2U9KNpG5YXdHeGxa22zROv7qle9CldccQVOnDiB48ePHwoo2zFlK9SxogK2cdOXo3zJ9JRp+TKi\npwIOxIR7VRNPGVM2nQCHtiZ7yvRCoy5Wjr9rfgMmgjL1+z1TRgMpi54KVM0iBFy1WGiKgQ0keB3s\n7Nxy0Xb2nCT6K6YschLSIectetqM/qpvdY71tV7z8szrZOvpTPSHdAJnunxpn750y5ebURafLUQs\nT1nOlC9zu2xKD6ydecqoW69ZwCBLvjS+XxYom0disD1lM6aMFcXRX0OxWztVA05hxR7NNyRne8r6\nc7Fm79+Ylqw/VkSi/yHno5n12te+Nr4XsXZM2Qp1rIzfE3L0OHA9ZQWkFDiIAWUKODCZMu0HEiIq\n5R4YbuKMnLIRCA4XTcwkpDl9yfCUNV1DBimqFizHLELAVcvpS8XQRQa5epgjVdbUeQUGQ/EUTsnU\nDY7M31+wyhr8RkqJDsbK29PsG5iEdDIrLk9ZCDh4mFASWLF5yqiRGO2SGSRLbBoMTuVLEiibh8ey\n5MuRgSVLpsBiwCA4LLLoO93aiwyQDLk2CiDFypdD1Mq23SITWXg6dVaVli9PM2PFBEdG45V2Ejg6\ntQNlK9SxqoCUeVSQa6z2v1fkgMxxENNTT1/a9wp0VS5yCIje6B+Rcg9EeMryGSjjGP0nPrYWgOQn\n+hPAgrMnEGSOdE+nfEnYh3K2cEz7Eva+nMiXRKbMJT0F+joXcQL49fqeurCnzMpkF34mlOwpmy3y\npPBYwJuu770nWJhBEnBQx3kGUOny5ZSBJYOV3GAGuT2ByXXE8pQpxmoGcMj3W3U9F8wsSjM8liPT\nqjKN/mxP2QGazrIXLqHUK9j0wlryZYxsmgKsCF620107ULZCbYoM6PKoSIxYo39VZIDMo/ahHEEZ\nHRwBfb5LKfLeUxYrX4oCVHAE2JiysJynagEEAZJsuojEAMheNquPDQgyg0v5ku5ls/vY/IzVpOd8\nQ3JCXydAUos2O6dMybWxTFlYvnQa/QHneRWO4fDLl95IDCAelFnOK+dkq62vYxKSHonB9JRZQDdv\n+nL8fsmSqdl36MWeStTfBTP2qNjoKWa12wEp30xVW8dFYgzezLo9SAJlWzZGGeTLWGAW+7pU+TLW\ny3aItQNlK9RemQOySJMSI0CZTARlRUuXEVWVWTHklPFAmR4LV1OURFpdT7GpiyfC6K8DawFSFMeE\nWdGLJw0MLhYaAmNl9owCZameshSjf6SnzJroH+jr3wTdfZy96fqB42xlIc1yeNm8kqnZ13IdOTeY\nN8vCDNLkS7sszpYv5zllFKM/MPm8LNZKHce85JnuZ9cv28M7RMNUaq9hsqdsZLq33ZYPkLoalTL6\nc+7xAwitmwN2HAYwgrImirFCAkBKMPqvAgZ3oOyMqk2RQSLHqYjMsG0T5ynrmbIiSr7UT/8Mxkr3\nzYohEiNSvlSgjOjpyESGQhQjnR4R5DplyiJyygC20V/fhFta3zzLkYt8vAEzZFOrN8diBJ+XPRKD\nyJS5AJLHcG/+fop86QVllvPKup2UqsCUa5BZcYDfIFhJlS89kRjeRdwhi5PBiu5bTntSPGWAPciV\nci+wJfpTwMrs+q3bGrnI6V4r/R6ZE/bG91u3NXu7o3hPmXqf++x9LwGgksrozwQ5Otcs0t9FAEfn\nnbeM6Pmbz/0tnvyMF+KK7/1ePPKRj8T111+P97///bjiiitwxRVX4LzzzsOll16KK664As973vPw\nwQ9+EEII/N7v/Z5qjJtv+RuIzbmnxcRPqVVAmRDiOiHE3wghPi+EeLnl34UQ4t8P//7XQojvo772\nnlCbUvm7+KzVyeGmXHH3KMt7+TIlG62UkuUpA3qmrEkw+qvpHlYUR1727BzAYsomYIUIjoAZQGIa\n/Rf+EaZsGmX0t00IMoz+dvkykK7v2isxINc6wQrF6O+bhPQwg15mJSCbxuaUpRj91UOTd1H1eMpo\nTNkSlJEkNv3QUE17hu59FjDI8tPqvhGJ/sAknoJruAeAMt+j9wQm3sy6q3nBsUB8eKxiyhLlyyhP\nGXDambJ/84v/G37uhc/BzR//GD796U/jJS95Ca699lrcfPPNuPnmm3HllVfiLW95C26++Wa8+c1v\nBgCcOHEC73jHO/T7feu734fLv+d7It/3+pUMyoQQOYDXAXgqgEcBeJYQ4lGzX3sqgIuH/7sewP/J\neO2Rr95TFidfHjRxRn/lKUvJRqsknykrs7LPsIn2lA3ghNG3yArU6mKPiMQosoIFjoD+czZdwzf6\n2yY+AZpsmhugLCLRf7G1E+A9zpqFtBn9Q/KlMxLDL5uGmTKPfOkDSDOvE6knEDT6B+MMHF62oAE+\nwJQVovDvd6jPq3GxD26Cbv7+7H1tW6LEZoAjgCFfWj7vttuGP6fuOw7ATMKdQzW7fuuOyVopKZkr\nXxpTzGwgCKR5ygDU1O9zVgoIbtnm+URQFikjfvVrX8eFD36Qfv1ll10WfM0jHvEI7O/v4+tf/zqk\nlHjfB27CU6/7Qe47PrRaI6fsKgCfl1J+AQCEEG8D8KMAPmX8zo8CeLOUUgL4r0KI+wghHgzgIsJr\nj3xtBn9XDFN2oG/6vCcp5SmrE7LRSokIT9nAWsUyZVIxZfRR7SqrDE8ZX76ceMoYURy9fMkz+qtF\neJKNBpBlU72IE4zvquyRGGFPGTADggDb6B+dU+aKxPAwdN4IBZ+nzBuJ4WdCg0xZawfdSUZ/itw1\nA0fme6QxZdPjTAYrM/lSez7JTJkhX3JkPVO+pIBPVbPrV5nuyaXuz8P1yJcvt3wgCABdjUIBJM49\nfui7bQ74PUFkyv745cDXPjH9WVf351R5riFlMuoBFwOP+Vdsa9fP3fAiXPPjP4MnPOHN+MFrr8ML\nXvAC3Oc+9wm+7hnPeAZuvPFGfO8j/ym+77LvnmxAfnfXGvLlQwH8vfHftw4/o/wO5bUAACHE9UKI\njwkhPvaNb3wj+U2vWZsiAxAXiaHCX7ny5abohwu2qfIllynLqzRPGSLlS+VViMkpY3rKdM+YSAzn\n9CUNlI3yJV02tRv9aX2LrFjufQkkGP39DF2e5chEtlxoCH398uWMYTSKFIkR2IfSKSU6Pq/yZgU9\nZY4tj+ghruPvkXPKAKvRn8aUzXLKfMfW2ndq9OdGU7Dly9n1yzbdqwe74hi9JzBhutlAEADaJs7o\nr5nLSKasG3rGesOi4ynimLIXPO85+PQH34Vn/k9Pxwc/+EE87nGPw8FB+J754z/+47jxxhvx1ne8\nC8962nXsvodZ95hEfynl7wL4XQC48sorj1Ti22bIDIuZhBxBGY8p2wzyZZMCyhDjKVOgjB5NARgM\nkp6+pN8wyqyMki8nzEo3vI4IyjRYYXi7AI98SWAGq7wy5Es6GHRu7QSEQ2uzarrQBCIidM/OYZg2\npuRcNQGfqohGfwFhN6N75FrvPpQBuVbJek6v1TxXbighxJT5XLwp93lFAiuWvqRQVZfRvyX6nmYg\nlB2JYbw3FkAyQCgvEmN6nNlSop6EZXrK5kxZxPRldE4ZBvkyiilToMyzxD713y1/dup24NtfAB5w\nqXNHDm/d9U3g9r+Pmr58yAUPxE89/4n4qRf+zzhx4gRuueUWPOYxj/G+7IILLkBZlviTD/w5fvsV\nL8JNn343/z0fUq0Byr4M4GHGf184/IzyOyXhtUe+NjqeIn4SchNh9JcyLhtN+2QkopiybYp8qX7A\n3HNzi0GO40RimMxKhKesZ8ro3i6z51K+pEVxjPIlL9FfQCAXxmcLMFa6Z4J8yU3WV1VllSfR3+8p\ncwIkDxhUACkmEiO4oHr6WsGnKs95RZK7NGM1fr+FKPpw51ijP+UeNPu82lMWlC+XjCRLvoyOxJg+\nZNRtzXsAVveQkukpM5myGPky2lM2fh9VBDgqu54h23JT8rXRP5Vh44Gy9/3Jn+EHLn8YStnha1/7\nGm677TY89KFWsW1Rr371q/EPf/dZ5HnO7nuYtQYo+yiAi4UQx9EDqp8A8OzZ7/whgBsGz9g/B3C7\nlPKrQohvEF575GtT9vEUMZOQyujPZcqyTECgQCtT5Uumpyyv0hL9wfeU9UzZcLHH7n3JMNwDBmvF\n3JB8MZVIMNyrsk9fhhlJxThMwEq7NIIHe5p9CUZ/u+FeMTgepmwOBAESU7b1Pf175EvAA5ACsmlw\nEfeA0Cq3gE/d12/0j5EvNfj03YcczCBdvpwydHqXj8hIDO7G4JO9L1mRGJHTl0q+zo/RewLTSIxE\npoz1sG/Il+clGP3Z8qW+9xye0f/kyZO48MIL9X///M//PG790hfwsz/3Huydez4gMvzmb/4mLrjg\nAlLLJzzhCcD3/DPgjq8cJUyWDsqklI0Q4gYA7weQA3ijlPKTQoifGf799QDeC+B/APB5ACcBvMD3\n2tT3dLpLyZcxk5Ba1iv4F1CGAk3HA0eAEeQa4Smr8g3ujIjE0J8zxlOWlailYsoi975UN3XBYMpa\ngynjRmIoiY0BBu3yJS0SYwFW9OIZDq2d3PQDe0Hqnq6nf4J8WWSWBxji3pfhEFf7v1uBIEAy+h8u\nU2aPxCAn61sGDKKYMqrvaSaLa5k25CmzRWJEecqMnDJWJEb//mI9ZWV5TL+eVMb1u223ODZ40uh9\nm/7+jEj5MnKbJd2TO0WpbCmHGInRdRageHAnfuvl/xq4/3cBm/MX//zBD35w8t9PfvKT8eQnP3nR\n9lW/8iogOxqxrat4yqSU70UPvMyfvd743xLA/0J97T2tNnoS8hT7tcqHtuHm2AADU3Yn+3VJOWWR\nRn+dUq5+wKDz+4VmAGURe18WoiAzR7qnnr6kbdBt9px4rQggZdLTnKoTGdnov2AcAsyRqgkQNH8/\nVb709LVKiQRGsukaN7NimUZc9PRFYniM/n5Q5mYGvaDM05fmKbN/v14fG+AE+3SmbHk+l7lDGjbL\n8v3ypi9H0E0eLgAWYL9pm8hIDKbR32B+667GvbJ70XsCPVOGCFBmRJTERWL091n9EEyuRPlSY7nY\nnQQSZdMjxJQdDWh4Dy81CdlIvr9LRWJsIpiyXBRoI3pqsAJE5ZTVWZYQiTH8gNFXm9Hzis2UaYBE\nZI5ULTxlRC9b0zVTuUv1JXrKpgBpQwKD1s2HA8yRs2eW9a8J9A3Kl4GN0JfyZRiUeb05BPnSClZC\nif4h4BAtX9qnIAGufDnbSSCr/D5Th0xcdzUtAd4imy6GRWxli8TgyJcGCFUTvDT5cmn0ZwW5Ko9o\nyZQv86l8yd7yqK1RxHjKjDy1uOnLoWespyx1+pINju6efLTDrB0oW6F6T1ncJKRiymL2KctEgZaf\nvTyEU+b9lx+VU0ZjcMzSKeXqYmc8rRZ5MQa5MkHZuAcljTlSVebDIk4EKaq23Xa6uDH6LhiHgvZ5\nrWAlwBzpnlmJpp0t4sVeEIQ6F/HY6UuCXOuV9ULyZZApS5Uv7VOfTjbHY/Rv2iZ8P4iVLx15cGTg\nYMll00HLvrJEYiyuFW/f6XEm9QQWx7nuahQcdWA4lnm+R/POqSrGvlGRGF2DHJhuvUYpzZS1cdOX\nXSRTpuXLw9tm6VD67jYkPzNLyZcxoOyg3UJKgU3BV5JzUaKLYMq27XZM1mdeuP2WR/xIDLWIZ8wQ\nV8CUEmnM0bwnABZjpXrqm36xoUdizG/ARHCkek4WcSoos930HVENwZ5Av6CEmDLXIu6Q1eY9l6As\nLNd62ZzAca5yB4MUAIN0+dKejxaWL2ON/vbryDllOu87ly9bIlNmkWv1A4yvLH1j5UuAyM6ZfYfj\nTN65QNUAQkVRhYcozMoTjf76YZ3RExiZMhnnKctkg0LKiKG1u3NDcuP1UX2PDiADdqBslVJG/ygp\nsasBmaPM+V9FjgId4noWWSQoywZQxpUvFXAggoV5T50Zxtn70rwBM7xdwOymn4dBiqrFDZgAUlTZ\n5UtaJMZiQSWCX6sfKN+E9750LW6EKA63lOgH3V42hzJ9aQMrigl1gEHvxCcQL196ZFMSm+PwslmH\nKCa/4I7E4OWUTZkysnxpRmKw5MtZaC0VrMw8kmyAZMjxJPCpygChURuSdzWQlSg4QBAYt1mSbRQo\nU1Ec7HinVfa+jABHqX2lPFIsGbADZatUvw9lXDzFQbsFZI4iYvKjyOKYsrqrDaaMJ5uWWdnnlHHl\nSzX15NiWJtRT+7uYTNkSlNHly0k8BWP6MtZTtljEC5qHzjpRRoimADxBrgT50u4pIzBlrgU10Ncr\nA8XKl8DAwMYyZW6GzjuVKITTI8kz+k9/r8orvwHewQxuO2LYqE2+pAAkx96X/PDY/jgHwafuu4zE\nYFlFBnAEStzIpO8KTNkwaRq1Ibls6dKwWV2DAkwfG2BsrZQgX0aBo1T5EtgxZWdg5ZlAhnjTvZQF\nypx/YuSigIxkyioV2cAOra16F1uE0b/KKzJYMGsiX8Z6yph9Jzd9830HasEgMacvp/LlHl2+dHrK\nYkDZXoJ8GT7OTukpwNB5F/GAfOldxPPKO33pZXM8DF1wEXd8vySJzcJY6Z6+RTzLemATHYmxZEKD\nE5+A3ejPDY/NCr1wk8HKbFCHz5TVY1BuaIhi0tdgymJAWdfoSdNYpizGp4y2RiVjQFkqUwYkMWUE\n+fL5z38+3vnOd05/uGPKztzKRbyUCJmjiJAvi6yERAvJvBB6poy/3REw3AwBfnisuukzDfeAuQ8l\nHRxNegLs8NhFuj7RQ7e4AXc8UDa56ROZwZRIDKskkycwZYTtndzp+nukRH9rheRLn/TkAfveiU/A\ny4R65Uv1XmP3vnRthE6SEpfMICsSwwBH5J4WZpAlXyrGyuhJisSYDeqwPWUDOAIYkikw8UgGzyFb\ntTWQF2Hmc9G33zFzK7s4+bKrUSIClK0xBckAR1LKPrfs7pJND7F2oGyl6lmrDm3Hm1rpQVmBIuOf\nGIUoASHZURx1a4AyrnyZl6gFIBkyImDKl2HP0aJnJFM2YVYijP4jU8Yw+rvkS8JxXsqXjOlLZyQG\nc+9L3Tew92Uw0T9WvvR4ynzp+oHvNxjkGtj70lkeOT7MlNnPKxoo2y7AEaknYD3OZFlvBo4AR8SJ\nrWZgkMeUNfxsNFXGcY5jysaJT94k5Aay2ecDQUAfZ3bPLEOjQGSUp6xBCRHpKROIli8J4OhLX/oS\nLr30Ujzvec/DiRMn8Ad/8Ad4/BOuxvdd+2w887k/jTvv7DM7X/3qV+Oxj30sTpw4geuvv95PWiQx\ne4dT95gNyY965aJEhyEbi7GFUN3WgMyijP5lXgKSIT0Mte22KBFv9AeAptkH55U6vyvC6K/3Sszv\nzZYvoz1l2cxTxgiPncqXtI3BFz3VeyUwdP5IDOY2SwBpwMD59B+b6E/o611QA15F77SeRya2ZsCZ\n1dX9LhGWp/wgQHIxZZT9GS3gCOgB0j8e/KP/tRaZmMWUWQJr76wJIdbFkikj37fa7eS7JU9fApPj\nvMgRDJVxnMk+NlVFhbY5gISM8JQ1o6eMyVrVwz6dUfIlgSn79f/26/jMtz6z/IftXf19TvnpGPXd\n5z4EL7skvMPi5z73Ofz+7/8+vuu7vgtPf/rT8ad/+qc49/bP49f/r7fjt37rt/DKV74SN9xwA175\nylcCAJ773OfiPe95D37kR37E8RePnny5A2UrlZL16q7GHvbIr6u7eE9ZzzzxqebeUxbHlCm5oW4O\nWKBsnL5MkC+LDbAfWHCMmuQ9cacvTdaKE4mxmL6kg9BFrlWxR/q81idx+Li7LgAAIABJREFUqtHf\nug/lBti/3fs6ZzxF7IbkQJAp8wIkDzgCAtJT4WbKggxSu/VKpsF4imijfxPHzgHWz0t+sDOYo0lP\n6j6UsdssWeRLlune2JCcHYmhJj6pkqmqfIO67fvyw2O3ep9P9v196BU7fVlx8thOcz3iEY/A4x73\nOLznPe/Bpz71KVx99dVAvY9t2+HxVz8RAPCBD3wAv/Ebv4GTJ0/iW9/6Fh796Ee7QZmUxpDC0agd\nKFup8sE4HwOQYiMxYkFZM1DUAKJyygCg5u59OZcvI4z+sqwgGJEYk5s+w9tl9uxfUwFb2nZWdVfj\nWGnsc8foW+UVOtlL4HmWk6YgAQdYoUZi2BZUAjPolS9F7t1Hzr0Ppb+vN57CA46AAHDwhBIHF3EH\nOFI9/ZOQCdOXXW1lXxe+RFtZmEFvBtyib4SPDVh4FYNxI2bZ5EsWKNuikx0abn6XcZxZkunQtx6O\nc5R8mZdhX6Kl6oGpivOU9WuD79i+7KqX2f/ha7f0+0/e9xH8vt/6IkkVOPfccwH0nrKnPOUpeOtb\n3wp87RPA3r2B+zwc+/v7ePGLX4yPfexjeNjDHoZXvepV2N/3/F2585SdsTWCFSZAkoOnLIYpU+nN\n3Iu2S/CUDRf6lukp03IXExyZPZu8DIIFs7btdsx7Ysqm6qYvpeRHYpjmZeJ2R8D4OSdeNqrRf/65\nCOBI9VzKl+EoDvf0ZR1m51yLeMhTFpIvubsI6L7u7zeYOu8AR8GegHPKleS1coBQEliZycRt16KV\nxAR4y3EmAySDsZJDQCmPKZtOfNLly/46Ur/PMt3Ppi95k5AV6uaUfr+saiOnLwHURpYbuwa/MXdN\nAdAzTknbHdHXwMc97nH40Ic+hM9//vOAyHDXnXfhs5/9rAZgD3jAA3DnnXcupy2XjXfy5ZlaiwWV\nWE1XQ0bmlG0ie9ZdjWOxTFlsz7bGnjldxwyPBYC6qFBGe8p4OwloINg1PfhNicQggCOz57bb9hI4\nUTa1J/qHwRHQ37hb2Y7sHEACod6cMsouArbjWewB+3fwewJecKR6eo3+DiaUlFPm8rGFWA7L96vY\nnOBUoke+DKfrT8GvGhQih8dmkfKlcR21soWE5O19OdvaiW707xk69fvR05dZiZPNSfpriw3qNoUp\nK1DkBa8n+vskEDFcMPQtkWEbI1+KFKN/xwJHD3zgA/GmN70Jz3rWs3Bw1x2AEHjNv/0NXHLJJXjh\nC1+IEydO4IILLsBjH/tY/x+SHY4aU7YDZStVCijr5Uv+iVHlcT237Xb0gzEv3BT58vzsfBZztOiZ\nFbxIDJO1IjJHuqfxfZZMpmzyhBqQ1cyq5swnw+hvTfQn7iIA9AtzDgOUBY6zN9E/IIM5AVIA/Hqj\nBULypU96KjbAydvsPUOmew8IJRn966lnUEmPQZbDI19ymTIWWLGAULLXyriOFHCkb7PUxHvK5kwZ\ny1O2Hacv8xL1NlK+jInEiGbKBlCWwJTdFcWUiUNlyi666CLccsst+r+vueYafPSjHwX+4dP9uXW/\nfwoAeM1rXoPXvOY1i9e/6U1vsjU+ckzZTr5cqUZZjwdWWtlE55TpRTzG6H+6mTIldzGYo0XPouRP\nX6rPN5veIvfsatI04qSnedPv/LKasycQzO1S5Uz0J058ArPzlrDxewpTpiIUFqPqAfDr35A8Ub60\nHGeSxOaTL00J3NV3xpSRgYODoaOl60+ZMgWoaPLl8vuNicRgA6TZgAHf6L/lA0HddzTOs+7v+QZ1\n1x9nMiOoanioqrKKvabUxcjssatrUIpYo3+CfJkCjlJl0x0oOzNrM1y45MTnoRoZP32pep6q+ZuD\nl8AAjujxHUA8+JzsfRkLBC1J5L6aLOJE5kjVBPAWNMYKGJiViaeM/nkXvkTiNktWNocAjgAHyA6A\nIw1WXJEYBE8ZgGW+ngf8BgFSknxp/7yNbMJxBj75MgvcEyyRGOq6CpruHd8vSdabeRVZTFmKfGmc\nz+q7iA6P5Zjuh+McxZTN5EvW/b2oUDcRPQENQlkDDUNt1WBC5PRliZw3ZaoqRb5MAkcifpulndH/\nzK0yUkpsu54pKyM8ZdXwRHSy5m95VEqwwRFgLOKyYT2d6AWVCBYmPdWxZRr9p54yGnOke2YGQGKE\nxy72EGyX02qu0nEjc6O/5zg7wQrRU7aQTAFnfpYqBaZS5MtFT8ALQrXvyRceG5AvlXduUY6+GqyE\nNiT3yJeA555gCeklAwfHcVYJ8N7ATEteGKknkCZfGmCQdGwXfcfjHBOJwQaCuq8RHssy+m+w7SLl\nyy5FvkwAZV2/L7IN8AZ3jjlk+fJQ+h6CfMndYWdeO1C2UsVKif0m5jmyiET/kSmLYK0ANjgCjM8p\nBM/fpdicjgYWzJowZV0DdLSnosmEIBMMKqZC56MRweAinoLRdylfLvcLnJcyTC8jMcLgyNoT6GVT\nz3FWN2zr4kbw0DkfYALRFOb7XfYNy5eAhZ1TfR3bHQGBRdwD9tXn9G/vZJcvg7lWLvnS9zl13z0r\nKKMl+jeLh4wy7xmk4GI0S9Y332+wVpAvo6YvDYaOHU9RbPTvszcHH75f1kDDULXxftnVNqhEtji2\ne3t7uO222wLfcap8GQlHRAbK3pf2thJrwiApJW677Tbs7dGzSue1M/qvVJuiArb8eIoWDbLIr2Gv\nUKAsZsujc9OYMqC/sRPTm7UZvd1G7bcJAFvFJrYHQHbM84q+JgCJCcomC6ryHBEo9sUkZDddTMg9\ngX7xBLzH2emTIQ4YmBOfujQYtB9n7+IWAEdmT2torQP8BhdxgnwJ9N/PJp8dS892R96egJeRDDJl\nFjBIlhIt4GjS05evNjf6c5myYnpemTKtF/CYIa5cgNTVQHau/k/ePpSD0T9m+tL4ftmJ/obXLspT\nlhV0v55RdZ4DXQJTlm0WPS+88ELceuut+MY3vmF9Wdu12J66DZu2RXZbBEC646v9efV1nhUHAHDX\nN/vj9c0ICfOOr/bn5ddP8V/rqL29PVx44YXRr9+BspVqL1K+7GSDjJWNb/Qcbo5c+bLpGlRCssER\nYNz0mUzZGB7L83ZNeir/W3MAlGFQNvWU0cHRpGdngDkF0Bylwykjpy+tOWXqbzjKuaASwBFg8bGZ\nfZt963H2LuIEJtQtXw5MmQX8BoEDITwWgF1m82x3BBDkS8d7osmX0/ejTfdBo/92BO2cnsBSvmR7\nys6d/Ggyqew7VsZ0rX6YYDFlhqeMY7pXkRjRnrJI+bLYoKZO087LZMq4oCzVUyYK1O1dkx+XZYnj\nx487X/afv/Sf8dKPvRTvuh245N98gt/3f38mcPy/A572H/ivvfEFwNf+GnjJX/Bf+9qnAZdcC/yP\n/57/2kOqnXy5Uu0NizXXINnJBiISGx8r+0Vonxvk2tYopYySL/UiLgRvElLJl8aIObunZsrCx1gH\nYpqesphsNCVfAqSJRPO1fV/3ou3tCYyMRCBQFbA8iRMHDKxmdN3XsfWQbxEnMKFe+RJy3I3A0tPt\nKQvIl75wZzXlOpNeaEyZ+zgH5UsLGEydviTZKJKYsuV1FPycqowBEjZAMsCRep13stWsWSQGS9Yz\njnOZc6cvK533FZVTlsXJl9vh4TV2+rISTEYQxn2Iu5G5qogBMF2MyCJ73wiZ9xBrB8pWqk1BvDHN\nqkWNXPAmIFXtDSfTfk2/gDSbI2XURaDN6EKQfVYTM3rERWBlygKlzeg6EoMOjoDZ4kZgrAAHWImY\nvtTnkMlYOcqZazWbVnP2dHnKgKCUaPXJMOTLxbXiAaHenkBQvlwMUdj6zveDpEhsKfJlsRm8e+Pw\nQRB8qnJ8v04WctLXYfQnJ/ovpy/Nv+MsSyQGGSBZmDIg4J1TpTxlUeGx43FmAcGhbxQ7B8DckLyR\nDTrGdKF6eI3NKSuyPBqUlUmgLBIcJYEynq3ldNQOlK1UynR/0NBPZiklJFpkIk2+PGDsB6kXcdml\necoEyBfCJFqAkdu17DmcrsSYCPO1STllBMZK/y5mCw1jsGEBHAqCfOlaaIgysZXl0GDQvUm3+dpp\n3/Bxdi7iHvAbzJgiypf20Fo7+CUtqB7w6wWCgJWBpTNlS3AEzAZUXDWb6uXLl9PfI4MyAwyy5ctZ\nX+vUsKsGRpIsDZtlPGRUWQUJiVZaJngdfZV8yTbdDw8Z6nznRHE0w8Mr28c29C2zwj2p7Ch93jKt\nNLpSwBFxOzp73wSG7pBqB8pWKm26jwBIeazRv+xv6hz5Ut8Mu0hQphZx0OXLiTcnwug/TnwaRv9A\nLW7AsaBMRWIQ+loXmqTpy7Bs6lxoiDKxnSlTINTO0HnNywSGzimxefqGPWVE+dLKlNlBKAk4+DYk\nD8qXy/OKzFp59r40/461NDNY83qq18wjMah+2nzTnx9dFzF9OduQnAoEAT2oUzfEDDizDAaWHXtU\nbProIDCBIDDxlAE8BUbdJ+OYsgalIAD7eU91j0+SEWPly4ocWTQpKXfy5Zlcm0JJibxtgAAgj2TK\nzhlAGYcp0zdD2UWdjPpJnGH0nyziMTllWr6MYMrUhc4Mj50Yw5lM2QKUERcBp3xJMfrb5EsGUza5\nAQdAqBesEBg69/SlMW06q+AUG3X60sqUGdOmlp7RnrKgfLn07tGnL+3gVx0f7yI+YwZZDJItEoMK\nHAyZmC9fbtNAGaA3B+d5ysa+rJ4AUOxB/SbfUzZuSM7qCUO+FBEP+12NKqanulZmcjypUsFRLFPW\ntQDivNWHWTtQtlIdU1IiZyJx+N085uIBcE6lekZcPLKLmr6c5JQx9oMEhhsTMdTULH3TVz8gHOPF\nIp66zRIQCcroN5uF6T7AWAE++TLFU5YqX9LCYxeLuDnlyump+xLkS6vR3/79koCDT74Mme59TFmk\nfEmbvlSewcHfxdr7cnkd0eXL0avI9nfNjjNL1sunoIwvX1aT15FZq7zqbR7cnoDOZYsJJd8Ok8tl\nTBhr28uX3J76vIXk+7vUd5hi9Jdd/11xSj/87uTLM7KODawVJzMsaF4O9SwSmLKuTfeUEZ9OFvJl\nJChrVEwChSmbL26MZH39XjG899kiFuo59ZQx9r6c34A1cxQTiVGz5MvJQlP4mbJwJEYsU+YGv0Ep\nkRge65Uv50Z/CnBwgKNJT99G6MCUKaNKiS6jP0e+jJmEtDxUkYOz87HvWvIlCSCpyfg6ApSZ8qW6\nD1H9XcUG9QCM4jxlkUyZAmXEkG1dUvaeMuo0rdlTXSsSfNZKg6NYpiz88HoofQ+pdqBspTpW9icy\nhykbQVncSXFOqS6eCO2/i5Mv9c1QCLKOP7kBE2W1SU8dwzH8gLJJ99wYzmToJqwVVb5Mnb6cLzQO\nWW3S0wnKeOGxVvkyJl2fAH6di7hHrg0u4qHpS58x3GH0J8l6nuMcXFAtiwmdKXN4yiiL+IyhYwGk\nJPlyPK/Y8uXs+2WBFf3dD6CM81A4i8To/w7xfptXI0DiAEEp9cMcSY6elepZcPeDHGTHMjSgYuvZ\n1SiQ9YCC6+9KBUfEh+Zl3+Hz7ZiyM7P2ihJSZqzpS30zjPSUbcocsit4kumw0FQRIa4AkIscAqJ/\nAiQ+EU0AEsNjpUrfgNUPKJEY3cxgy5iCBGaMA9Ho7/aU8UAZy+jvmkr0hJqaZQVIARDqXVAJDJ2b\nKQtHYkTvfellyuy5bKnTl0HWyhI9Qp5KdDCDpEV89nlZAOn/Z+9dYm1bsiuhEeu7z7335a9sp9OA\nBQUWoiREIlKABB3jNBJu4Kpe0bCy5w4qUSU6luhU0yqpqGZJWaKkbCAaiCrZKiwkO4VUqg7IlIxt\nKJDFr5FOpzNf5nvv3nPOXt+gEStiRaz4zYgV+9773ttTSuV995595l6/iLHGGHNOx/VNaokBAMtI\nH7xu5LXlyzRPmQC/5KpEzgG+7GOWUsFK0+8AKam4YGPiqjZLvpwYQ8s5WCpIUZaPPE9ZK1s7JTNl\nJ8ER8aXZzntnyj7T0dYVwOssT1lWlYyWM8+QuZDkrWMwxtBV7UlPWabRX/4FgaZ2e8pym8eGm6ke\nc1oDyXPlyzq+2HgN8ESGzimxRd48g2CFMvvSJ+sF+rKdrb4MtorwgG5Sz7BQ9WWMQXIZ/amslYcZ\nJG3ih+NNak/hAKHy/ERlPW3zTGLnDuBI/xy5JQZ2UJY0BB0ADgO+yett3WNkQMMasJSh11reLPkS\nEH0oM8FRMiOIjSlTfSTfMlNGfGkunvdGcQdlhaJrBEBKkhKVfJkHyrqmAud12sOz6KAs72Zsqyap\nT5lZfZnvKZvY1rQxweif2zzW2FCpTJlL1ktg6Jqt4MOafZklX9LyuuXLMBgMbuIEhs4LHAJ92aL+\nrlj1ZUZLDDpTFvGUpRj9KUCQc+/1pRn9zeOl+9gWYaj2Gf1j65B2vMnsHIDjQHL9uwfjwJQ11MIq\n+burg3xJZsqEfNlWic3BtbxJ4HOLkW2gLBUcqUbUGfLlojFlb9vbFSlM8ue9y5ef6ZAAKUn7P9DF\nOTnzmbI8+RIQC2JOSwwlXyY+BIrlkH9BAIMWcDjVPJb20CsPksGU0fuyMcbEubXky5yWGGnNY93V\nl+7F1ZKG9SBcX3U9XbMvgaB86WfKaPKl8/n0tcSIzb6MlPJHDfAho38QCPpL+Umb+OF41cthDKx4\nNjGjfUwoNGYwmZ0D3ExZCihbBtSsRk0FSYfjlfctvfpSGP271EKuZa9GJBdRaDGBZxru5b2XnlPM\nNt6O823LlwTvrTvvnSn7TIcASGn+rn3Rz7spulrkTJm3qRb9ZU72dslo6zT50liAM4z+EqyM0ria\nwpQZnjJ6XkPuIj70bk9ZGvjt6s6WL0NMmbclxki6vs5NPNCaAogwKwTwm2X0DwEkzRjti7CnzN0f\nLV5csPVjypUvHdeXzM4BzutL2sQPoHtaJhpYcYAj/bvSPWWCKWNgtBFzjs0zqUKw3kFZUhWk5u0C\nMuTLRrTEaFPH6GnXN4cpmwB0OUzZdh+22/OQKl8qUPbWjf60lkXF894o7qCsUHTS35VCM6vqrjxw\n1OV4yqQ8kmn0B8SbVIrR35IvM5jBtmoxYQNlKS0xMqsvFWu1TOSHXp1b3d9F7Kwvo620occRxgoI\nmLSJx1uxCs1xAHGgiaue0wIO62p5f1xxxujvlUyBYF6a0T8VlPnBUTQn4LyvxmVExaowQAowC14W\n0plX3GfzOtPbYTjykj1I2n01rRO6uqN5rRa7j1UeUzamGe7Vpi0+k8xa1T1GxtJBmbwfmkump4yL\nfmGpzNF2PyhQlipfKlXiLYOjbFB2ly8/06Hky4QbWcpAchpAalQVA9AkzUVTUsWJWWOtbIqY2hKj\nbqOGbH/OFpMcBEx46M/OvpSfNeVLIlN2lC8TCwzU9ax3uSea0/CxbeCIOt6pbj19yjxMmY+dW2mL\nnL95rB+EBttTEJpAklpiHO6r+LzNA6N5iBxQRgJIARCa0xJjXEea+V3lzay+1I3++iYezWuD35yW\nGOMyprWm0MCRkZP64r1VX+aDsp42y/QQE183T1kqKNsKIZoHAIltONZ9EsBb93bdjf73cMUZ1qo/\ncVMw1JhzPGXE5qKuaOsWY1WTDZ3GJp4546ytWkxyEDDhoTc2cWmMTmTo2rpNaolhAQfp/UnIa8iX\njCE2QsRbXACQ5emmOjBlVQ0w//V1eucA8uKq2qr4mLJU+ZKQl9Q81mP093qtInnrqkbNAuy5p6N/\ntGVDAIRmGf2pAMmziZGlxIN8SQZI8j6UTBsSWSuNKcsDZeLz6fJlj5kxdCxxm132vJ0GKKkxYd08\nZbnypQBlyS0x3hlTRquOL573RnEHZYVCespSdXgg3+gPAIw3WHgOKEtjcPRoqxZTVScb/btMT5nK\nKQFSQksM4WPLm3GmpEQCYwV42DkgucDAYq1SmbLExaarOgdA6qPypQVWjl44TzDGTPCpcoZnXzIw\nN0A6K18GZl92VUBiI4Bfo3DjGB6jP2kYOeDuU0YBKw6jPwmsHJgjGelM2Ug7TpX3IOcjkbVSLOmY\nOPdyO946E5TVvWhPkbrNznveLPkymykTP9+1L9JzrtPujX7b3q5spuwuX36mo62FfDlzupQoGYdc\n+RIAKpYoXxZoidFVHSZWpfcpk7PYcpmydRIbAsXor7cWUGAhvWnttE5AVYkNn2j0Vwt/xkNvsVZ1\nR/KUGV6ZxLyKETS+SB+UL9uqtcHKEgcpKqcLrEQ6+jtz6j8fuL51VaNilZtxCBj9g8CBsJk4z636\nUjYYHCm+JwVSHuxfubGQ4eaxpmyaDsrM4yU3VdU2zyQpUTFlDlBGYsp2j9Qp+TJ1/FDTbZ6yTFDW\nnARlqUzZbDJlqWOW1Ll9296u7JYYd6bsMx17e4r05rHdGVCGNKZMdfTn/Fz1ZVWR30xU927pCcs1\n+q+T2BBSZ19mPnwGmxNhrKycQNRzFM0JREGo3NwMsJI44Ndi54CNkfQzZd52GMS8qohCj6oS96SH\nKQsOIwcsBseV0/kCo4pBzHMQBQ7ye7Y2ONJzxmdfmvJlFDgokGLfV1ZbFVccqmvJrJVDRgQigFcP\nbfNMky9NGRHIM/qP2aCsS88JCKaMMTSpg8E1EJrV0Z8veYPBJSjrMuXL3NYUihnMZcokQ3effXkP\nLfpNvlwSWKvrNpLp4QR9WrEGCzKYMp4u58lQfcoSjf6dYsrS83Z1J7577WdwXDlVcUFGXst0T2we\nq5iORG+XzGnKl2EQ6tzc5OeJG5BzEw/k9W7ii1veIucEvNc3CJAcm3ZSTundOyzqUdO9/PlIfzRv\ny5qqAQ6Ms6xKDIZHRlQ5Q+wc4GyJQRo9dKwK1nP6AK8e2qY9LYTjVHnt403qOq8kXWKVqYzDec4d\ns9SlgjLtPKucKVX9fMnsUybly1ciZzIoO9vENddTFm+yHc77GZIvGWNfYYz9LmPsT7b//7LjZ/4F\nxtj/yBj73xlj/xtj7D/T/u1vMsa+xxj7g+1/v3Lm+7zLkCOP5gTWathu3stbZMp2KREn5cv0lhjt\nRpSdky+JTNmxuADImrmpFsOAx0rlXCc0rEEl5YqMNzELOMSM/i6AFNm0j+H0dwXyjsvo3sSJ4AgI\nAIfGLdcGAZICR+G8zuNUeW0mNAqQCOc5mNNRyEEy3S/h89xVXaR5rLl5isafCUyZ4zw7fYnH0JhB\ncs7t5495c5iymQJ49VhMBkc+Z2S7yFal3uYyZfXOlCX1ouRLXkd/2RKjfSn+M9EW056ugsyVL+9G\nfz1+A8B3Oee/AOC7238fYwbwn3PO/xKAfxfAf8oY+0vav/8dzvnXt//9zsnv886irhiAGkuCp+y6\nLTY9YRPz5mUt1oScO0Dip6ovU5gy1VpAypcZD5/yWkVAigwDIGU+fAZAquNg0AJIM01W08OWLzOY\nsgRwBPiYsov3+nqlJ4+85c3pAg7NxStfejdUIgi1/Hp6OJjQKEByeJ2OEZQvge36Hoz+VPnSA0Kj\n8uXBI0mXL/3nOcrOAZrMlFp9ad/PSa0iJFPGl0SmzLyfc6ovR8aQvNpphQ2ysCWNtZqFPSVZRtxa\nYmygLLUlRqu8mW8ZHL0rMHijOAvKfhXAd7Y/fwfAXz7+AOf8+5zzf7r9+TWAfwbgnzuZ970MwVql\ngLLzTFnNGqwp8uU6oUKFGsh+CJqqwcgYvSXGOokmpbKlRU71Za0zZTT5Um00iSBFRlNp0xKaOBi0\nJDbCpn0MaxP3gBQ9p8VaJYAjZ05AnGfP8Xo38QRviHcTrztvS4woU0aRL0P+rsN9Na4R0z0BDAbl\nS8B6ySAxSJH7mQSQtOMlt8QI5G2qJr6Ja8xgknzpuL4Vq8Ig28rbYVxnNCkvogocie+ZPGapajCB\n7QoBOe9+vNG2Ko6YpHyZ2dG/6c5UX9IVlD3vWfnyPvtSj69yzr+//fnPAHw19MOMsX8RwL8J4H/S\n/vqvMcb+kDH2913y56cpUqXEYRnBOcOlyb8pataCS7BDCOEf2RamM54yIKklRlu1ybKalVN6yghg\n0KhiSwQpKmd9lC/jRn8TlKUfry1fukGKkdMrX55gygJGf6+UmMiUOcGKRyYOAiQiIxltT+FoiUEy\n+seYspi/S2fKFgJrFTnPUXYOMJhBckf/wPFGj1PGdrxnmTKVkwpW6v40U+acfhEKxjBVFTokorJD\n4UpXd8kNwvM6+oufr9oHOuDVc9YtyeZhxVnGSvZV/Lw0j2WM/R5j7I8d//tV/ec45xzw332MsVcA\n/jsAf51z/sn2138XwF8E8HUA3wfwtwOf/3XG2O8zxn7/hz/8YfzI3kFULI0pG+YJ4DX6Nh8bN1WD\nFYkPj9zcMsARsElsDPSWGPJNPBMcAYfu+kSjv1WinZjX8MkQZFNLYpuft7wJTNmR5Ygscs4NNZUp\nqz1Mmc/o72NWEs6zd0P1GP2DmziVKTtOLjjmPYD9KJtDOM9d3WFeAmvCoeXJvM5x072jb5cedKYs\nVb70n+egd06PDQwmgTJPAQkZCAJA02HiC62gQeW1wb7zWQnExE4wZfXO0CV5ypZJ9EbLrL6U/dHS\nZ1+2wZc5b5QAR1lg8CRDd6OIcrmc82/6/o0x9gPG2Nc4599njH0NwJ97fq6FAGT/Nef8H2i/+wfa\nz/w9AP8o8D2+DeDbAPCNb3wj9TZ/K1Ejzd91nQeA12IaQGY0rAVHAlO2TvvYj0xQtjNldKN/p3uy\nMjx0Bih7eqTnBPZFrk1kyvRFP4spSwehVvVlZJFzAqRSnrLnn7hzRj1l8bzeTdwDBoMAiXiew0yZ\nLYvTmbLM6kvAanmS1hLD7ymLbuIaA0vuGRaoriVv4pIpQ0rzWLcsngTKJFOWwsY4qmuTcgKYGdu9\ntOQPHfqj5QAkRm/ubeWtO9o9pIW6hwK2B2+UAEcEz6+dN68A7NZxVr78bQDf2v78LQC/dfwBJhoo\n/VcA/hnn/L88/NvXtP/8KwD++OT3eadRV2n+rmGZwHlzkilrwRPJ7wkVAAAgAElEQVQ9ZY0EZYkg\nRUZbtRhBr+6Z1klIT4o5Ss/b1d3WXf/tMWUG40BoiWF7ytJBqLXoR7xsbqN/uqfMWoBrv3fPOysx\nlSnztcTw9Sk72RIjWCHoYEKj/i7CeW7qyJSPAwgdF8IcylhLDMomfmTKUuRLx+ZJ3sS35yit+tJ9\nnoPM5zGaDiNfE+VLB1OWCMpGIB+UbfdBak4ByjKYsmUQ16eq8nJWbbBAyJ93FPJjlTgjVI/mkidf\n1p3wHL5HcRaU/SaAX2aM/QmAb27/DcbYzzHGZCXlvwfg1wD8B47WF3+LMfZHjLE/BPCLAP7Gye/z\nTqNKNN2PyyZfNvk3Y1O1ABZw4oMvPGUlmDK6Z0GBlbOesoSWGAZAyjDcq5yJLTHM6st0psyuvgwz\ndE6AlMqUOeVLv3fPL1/Sz7N30feA0OAmniBfJrXEiPm7KC0xYq0iji0x5AtMKCItMUgbap0Dyvz3\nc5qnLLX60i3XpjNlqaDsKvrIacUBJGlYCyFfrvScgLi+zUWBBbI0LHMqpoz+GQDiftgqGVVfSEJw\nzoWNom5JL69WnBj5p4JYAGbmnd476RIgyJeh4Jx/COCXHH//pwB+ZfvzPwHcjVo45792Jv/7FjUT\nrBXn3D8vT4thGQHeiGkAmdFVDcA4Zj6jZfEFZ1zHfRZbZiuOru4wg4PPE6kDz270z5MRAW0Bbukt\nMWxQli5fqrf/iOFe5jQ8K5lMmSlfhhe5aZlwOR5X4vE6gUOAkZzWCR9UH9j/kMiUuUce9cDTh3bO\nZULbn28e+2Z64/7HugOmj8ycx+t5jAg4kjnD8qXdEiPuKQtf367u8DhFJH5NZqJ7yvxeNvImvslM\nExKrL6vGYlJIvdFkND0mDOl9yhw+trTh4EC7JoKyebR6slFzLuuCla8bKMvwlGnD16nnVhYhdFWX\nb/Q/C46IrZKMmJ+ziYlbxr2jf8FoNlBEnX85LiM4r8U0gMxoEzs+T8u0z2I7wZQBwExtibEcPWUZ\noCyjJYblKctgylTVE4UpWw4sR6anzGbKwrMv/Z6yhJYYlqcsY8xSSvPYyjfyyNMSIwRWUjxl3pYY\ntuwS7+hvNzW1csaM4Q6mjCZfMq8XhrSJa8ebxJR55B46U3ZJly+X0c3OpbBWTY8ZPJEpG0752JZ1\nwcqQzpTNV+MZSskpXwBaz7iyYCx5oEz1vqxa0sur/Ques600KgieXzvvFaERae8q7qCsYKiGhgkA\nCbw+xZSlNjQU5dJlQBnVCKoW4ExwJHPO60xuiTEv2oaayZQZb/+EqiJbvkxnymT5u5KjI4tN2FN2\nUr4MMGVuT1lCSwxvR3/3eQ4CJFW9lTlmCYBrkkDU3zVfhRcm0PsqyuYcjpds9NfkrWPQ5MudKfNO\naLDy2sxRUk5A3c/kNhzADgZzcwJA3WPkqaDsah1vipSoANJKL8QCsIHQPFCmAFKu0V+bXkDex2TO\n3JYYGkOXHTmy6QH8vi9xB2UFQzJlSQ8Qb055ylIH1gpQti3muaBMzZ1L7FM2nWyJsdBbYhhv4plV\nn2b1Jc3ob8qXeUwZoF1PwpglS5IpwZTVNkiRER6zxEj9hlJbYgQBkty0q/ByFtzcHOeZVH15puIT\nsDYxUiXkPAbvZS8L6clLli8X/+ZJ3sRlS4zU5rEeH1uw3YgWS91iYUgEZaNVWZsFkJLlywNTlsAI\nymvQ1W0mONrnfGYzZcl5n4HmJGOVBQav5/PeIO6grGDksFY4KV9222I6JFRCdvINO/MtQR0nnwHC\ngrPLlyeZMj5jJT700zLt3bszmTKjgSKhqmhcx0OfsrzmsYB2DzU9wNd9qPoxp2sTJzA4x5xO+XIZ\nAUcBSZApCzA4x5zu5rFuMBitvqSyc1750pbFSdWXlOKCqHyZ0RIjBMqoI4+WcTdpU6svc0c7yWh6\nrPMgPLApRn9Pw1oqWz8d5lfS8tpgMAUIKoBE/Pk9r3meo7NM9ZyKKWvzmDJtegGZEZRj9KrWW6gT\njOlaSL68M2X3OESyfLlO4Cfly35bbJ6mhEaucp89KV+KoeQJ7SkUSEl/O1HsXN0CfAEikoDdEoOl\nz76sWyx8wbIuJHrcqkokMjjHnPJ3AdDmBXoqIV0AycMshHKq45QhFyvH9fV39KfLEH750g1+w6CM\ntrimMmXjMkaax8bBYFy+3F8yJECKMkiR80zzlIlNTDJqZE/Zmd5ogBjSvZ1nep8yd95ouxEtpmZv\nL0EO2YJHiyQgqJiyRPnycH2bmg6Q5Plo61xP2dYbLaHdiPxuTdWQXl6tSFyvnJFj9L97yj770crB\nt+SqlRJMmQRlCVKi/I+T8uVInHNmVF8mMDhGTgkE603qjSw446pJbNMzmcFx5lw12TTQesSSEokM\njivnPnNz+7xngXR39E/zaDgZXrkZeRq5eltipFR8OuVLN/gNSmwBBkePsKfM0RKDJF+G80a7sWub\nCRkgRc4zuSXGMprSUyxCnjKqfNn0mLZ7is6Uuc9zkgF+y5VUfekAg0lAUAKkhBFJACyZOM90n+Ox\n0jxlKTkVEMxsiVEClOW0xLhXX372o0uUL+d1Pt0SQ87NfKYyZevGlCUyOHoYTBlRSmzr9tTDp3LK\nijOKv0uxTHlGUgOsyN8VmkPpYsoyfGwqJ7B7WlJGHqUyZa77tgmAslD1ZaC7vZFzY8qs/noe8Bv0\nWlGZslifMu2eWvkaZ60I57mtW6x8NVlII+/OlO2VcxGwskQ8ZaQxS0ImVtITqSWG//qSPUh1hzEF\nCALO1hRJOQFMTaM+Qw6HbJoFkHLkyyMoyzHdJ4OUPW+Op2xviZFTfXmSscpqiVGgwOAGcQdlBUOx\nHETad+abfHlizFIOU9ZwfuoNQS5s1PmXe/Vl/kOgZL2KxpRZfcoypwjI3xUCKTIsD1IGU6Zy6lWf\ngHfBccuXaee5czG8CoS6G7k6G5wmnOe2asHBsfADWHGAX865u6BB5SV6ykKyXt0D66xkcbXRROXL\n8CavnhUvGLyI38O5yTiEYr4GmUGSB2mTmdKYMv/1TfGUpcuXdmsK+XkycNju13RPmXmes8DKiSau\nQFrFpwGQcpq4npAv95YY7wAcvSsweIO4g7KCIU33ZKaMT6hYQ2o064t+2xTITNkyoeP81EOgAFKy\npyz/Idjly0NFpS+nXt11lilbJg0cBbrrHz1IJ5iyXb4Mg0GnGT2XKdM3D/n5Q17ZnNIJVlI8Zb4X\nGMfxRmU9Yl4JHJzTLw6MpAJIUaN/vPoSCLSPqXsAHFhnOkCKgNC2Fr6n4JQPbTA4KScQZOjo8uVF\nTDJBAmsVqL4ky5d1BlO22LJ4EhBUnrIMUHZgylJ9bE1gTJo/7zVPvjQ8ZTmG+wLVl4FqcX/eO1P2\nmY/U9hQrn1GfG6qAy7aZXIkP4LiOYhbbCaZMbTRE+VKBlTNMmZJMN6YsAgbNlhh5TJnpKQvLiPLn\nzjJlzupLT17VvbuQp8xY+BubsdK/11lPmbdS2eFlk98r2DyWyJQBcDd3PjCSJCmRcJ6two1jaPdV\nGigLG/0Bz3GqvJunLEm+9DN0qjo61ihVY33oLTH81ZdkWW9j2NOYMvs8JwHB7dw2cwFPGfE4dzk6\nh7HambKkfmxbzq7uMltilGDKLhnVpgXA4A3iDsoKRr8tWNSbeeEzKnYSlNWJTNk6iQ7TBUDZlGP0\nP+0p225ZAlPW6qzaaU+ZBAvutzGnxJbBlPnlS3dFov49zbwnPWWe4w2DMjoIdUqmgFb1afbuAgIb\nKvH6WufWyCvB0Wj8TBA4eLxORs6YfKldX8MPFIoYU+ZiPq282/eanozPxPO6z7M8T5T+aBMWek7A\n+xylMEijBGWEUXR7Xvs8kypbt9g9ZfneLpkzmZ2rc6sgd6Ysei0POZWn7F1UQRJnItt570b/z3Rc\nZFUi8SFc+Yw6ZZFw5WzTmLJpmUQzwzOeMrkAM5AefGPM0kmmbJQjogIPPufcrL7MZcr06+lhjmQ4\nJbYiTJmfofMyDrmeMkO+NEHKMae/T1mafGkt/A5mMMqsJDJlzg3u1kyZ11O2X1+j31MotM3TFV7A\na+QV33scH2k5t+8Y8pRFcwLC6I990DYpfGOWEoCDXDe6FKuIwzOYA5C6ldbP0cib6ynTXyaSPWV7\n3hTwaTBlzSXYV9EZJaogpdE/JNnrwXmZqs8bxB2UFQy5yFAB0oLJbZhOiAfpKUtoHtuu8zlPmVF9\nGdfxjTFLZ6cIVNuiGjheNSBX7/F1gimb19nrsZKhJLaznjKrT5mfofNu4plMmbHBqVYc5vEGvVae\nzdMV8r63Fn6H0T8KVohVn0HgcLi+JKYswVPmZa2061vMU0YBSJLVn58BEAFS4Dx7r6f1g72wPYAI\nBAHD66RH0iigrZVOS920AScTKsegkXLKZ4XzNIB0uL5Z1ZdSzks53syB5JbRH6Af77omrRveUC/N\nRP/eMgI4Z+O5VdxBWcG4KNM9DSBxzGo0U248tOIhonT0VxJbIflyJBj953XejeEZzJEMJQOp6svw\nkG79e2ZXX+rSU8To7wQOGXktuSvQxNUvXxbwlCmwYHe5d+YE0pgyH4PkYMqKecpqDzsH2EZ/CkAi\n9EeLV1/a8mUUIAXGHQFE+bLJkS/955nEzgHCU8bM7xnP62+JQfKxAZgkU4ZEpsw1kDwVIHGkSWuL\nCX7Jfj09Z2DdcAbnJihLKGgw7AWEKnUj5Dp+VkaMVKl7895B2Wc7+q1nGIUp45yDY0nrMO2IFFCm\nJLZlPvUQpPQpM8DKlE9Tq01cLqqRKkgAZvVlxvEawCHWL8wl603pTJliHAjVl14pMaOjP+CTL92e\nMn/1Jb15rP77VDjAb5S1Sqi+BDxszlG+PN5Dzry0MUsAAZTNA63iU+YNgEE1WYTElCWAsgCjQZYv\nNaaMbvT3NI8NgexDKPkygTjyjlkiAiT1AsM5HRw5mKOk45TrrTSwU8HRMgHghnwZ7K+n59Rfmgj9\nHI0oBY5SweBUCAzeIO6grGCoSkgCUyYfsOY0KBM5B8LbmzH24wxTpgAS4qOH9E28gKdsVvJluF+Y\n/pnT1ZdGSwyPfLk42JwcT5lPvnwLTJnT6J8iX2Z4yizWwQEGo6wVwXBv5HTKl6aHju4pC+eNynra\n9SU3j41cX5qnTDJlz7ScgFdG1D8flS/rXrzMgQjKpPTnMfoDtMIqmbMlgCkAwhPFV7v6MqHCXj0r\n4AngaPu52mTKyDl1oz+QAI7EfYDuhZGTUkhh9NfLZcreNiiTx3uvvvxsx2VjrSj+rv3t4hwoe9FI\nUEbrFwYA7TIV9JSF8xqVOSWqLwlMmS1fFqi+9BjfvTmBvOpLS750M1aAxiAdZb1cpszZ0d883mDP\nsAQQ6pcvpbfL4Sk7WX0Z3FAPIJQsX0byxuXLnYEljVkiGJRJAOngKYtWfK6LaK57minrdqaM0jNM\nzcu1z3PKrOGxkqAsnlLk3TbtQ1UgSRreQq19PAGUTRIcvbRyUoz3KmebyJTJvLJ5bAYQFExZKmPl\nPs/JkSxf+u+rdx3nXOb3MOKhTgBI6u0ioZmhI15s9GsaKPMvrpRQVYks3hLDkIGK9Cnb/iLElFny\nZR4YNKTEjsiU3Wr2ZZJ8mekp0+8hR2sKI2chpsx6E3cYhYOesoQqquCGegCDUflyXYB1ihv9Y8yK\ntplMjIdzAruROVDYQNpQGwnKBNiPAiS1aYdbYsQ9ZTtTRmLnNs8b2hfWP6WwOarik8qUecACSRqW\nv0L3lFHBgjrePW8KO6eAvZIviQ1VD+c52D7mEGb15TsCR5GXZitKgcEbxB2UFYwH1Z6C1rsL2KcA\n5MbLDSyMlDc3CQSLMWWIPgQGyzHn96NRCzC2V93AQ+/0lJ1oiTHp5+vGTJktX/o9GkYnbT2K9ikz\nz7OXtZJeGMJgcCOnJV86WmKExg+tm8xEHEgOxOTLq5Ez2IZD/1wkp5fl0JvHVgSwEgApKidlEz+A\nsihAcjA4Rk4qg9R0GKXRn7L2BTbPNPly+wy1NYU8zwd5iww+cai+TPY67dc3S76Un6fKl4fznJLT\nkN0j66QVpWTEzxBTdpcvC8aD7P0zJ1K+Z3K2ctFPeHiW+dRDsM++jLfEMMBKZmsK4OBjA4KLnCUD\nTc9Zec3qS7+MqH5G+567F6ZQ9aWLKXP5u5YZ4GmeQedG4yls8DJlS9oi593cXC0xQkyZAiml+pSN\nxs94wYraxNwghZQTMJhQkmRKAGVRyRTY5ctlA2UxgORgcPSgy5eXtD5lsw1SZKSwOfInzjJlWQAp\nxeivwOB+P6vrmcBaNcnypXmeo5Mo9I8uorUTYyy9JUYpw/27AoM3iDtTVjD6DSBRpET58MiKzfyc\nNfhaq3EpodiZsnNjLeqqRsUqUkd/wztXwlO2STwUo78YypsOUqycq8aURVpi7A1rbcMuKeeR5SAY\n/U3JNCwzOXO6NhpfnzKfZKo2MT9YiOYEgkyZcxNPyGs0Az7GAYRG23BEQIqMKLOiG/0XwiggwvEm\ntcTYjjfaLzECBsmbeLZ8eY4pkwx7l8qUHY43x1PWAqc8Vuq+pZju1wkNa1BJsJEKBtt0T5nRqPtd\nGf0jL81WTIXy3iDuTFnB6BsBkFIqIXtC08tQdHUF8AZjypvbyepLQDy0JKO/3FDlrXaWKZNGXUJL\nDCWZZuY1W2KEFxsLrMhFziP3eHMeF/2qAqrWudg4mZXJrKJKyWmAlaoBYF9fL5uzdYan5vXKeg7Z\nNMggEZijY06S0T8kmQLAKK9vOG90E3fMvgwCJAIYJG3itbQ9UOXL8HkmsXMA0HRp1Zel5EuZntj4\nNcaU0QFSLXjBZHCUKV/K8XKEWb3mB02wT76e0GYbA9F+jlaUrr5M7VP2HrbEuDNlBaNrmABICTTz\n5aTRv6krgNdpVTKcn9bS26oVjVypRn/ZWTqTLt6rLxeAVcHFxtjEEzZtb86clhiZRtKKVWhYY1dC\nOsCvs2GtBEcRWU0PZ0d/xra8hz5lvpYYmUyZd8ySY/alcxMngiMgstEc5I9oewrifRXdUHWj/0bi\nBMEK4XjTjP7ENhyR+5lsgK8TO/qHjP4JBvgRHA3nqMjgyC2bJjFIy4hWAuwzTFkiOyc66yeClAPY\nT2r9sU4aU5YJBou1xHjLYPAGcQdlBaOra3Bek0qXZduMs0yZiBpzqschA6To0dUdproht8Ro5eab\nwODoYQEkqtG/ACgb11Gjxz3y5XETV3nTmDJALIjGPeSZYxdkyhLAoN/f1VtvvF6wMkkwSARlGR39\n3UxZunwZBGXU5rHE+yoqXxpMmWCTi3nKKAPJXePBXDGGmd+gNKzHZvRvWIWKEYSawKad0ipixLq1\npkhlrDxGfzJA2rbYZHC0X9+U4gI10i61GlExR+J4yWOzoLFzQHpLDPlz947+Ku6grGB0jWCtKDfy\nm0HcPJcCoIzxhvzmBkCUaGeCIxlN1SQxZarqKRMM1qwGA9ulxMBiYxRRJDApxzDeiqtKbGQ+o//R\n90T0HLmiqVxMGbElRoZs6u335MjrlRITwaCXcXAY/YNSYgIYDDIOh82EbvSnMWX+6svd6K88ZUFQ\nRvCUUTrAS6ZsGcHAULPa/7NA9H4my12bp6yN5bPy+lti0ORLnjaDspDRf/eYplZBmrMvyTklQMpl\nypq86kt1zybLiIUM96lM2WSC0Pcp7p6ygtHWjCwlPk0FQRmat86UtVWLsQrLiIBmmF62DSIzL2NM\n5FxHp6xm5NQ9ZSeYsrqqUbPa7K7v2Vwt0/0JMNhVXRIoM8zoGWBQSqaWT6axj9cLkCJMyjG8AElW\ncFFnXyaAwbCnrDFk8WhLDOJ5psuXYvZlFCAR7mcSy6EYH7GhMhaZCRk5z/TqSyFfdqCCsrinjDJ+\naOJLYhNXj9E/saO/AivJXieHpyxFvkweO2Se5yR2TveUJRv9C7WmSK36zCiIeltxB2UFQzBlNE/Z\n8wbK5OzKMyFAGWFhUtVAheRLVsdBmZSB5Pc78WbS1q0mXxKZshOgDBALojq3Tec9XlWKLuWKM7Lp\ncRiwR651+rvGvLzq3OrhYAa9rVwSwWDQjH64vkGApAoM4mCQBJCkfLmOoorNJ7ERQXfUa1VVoqhi\nM/p3dRcGSBSjf4KnbFxGYr+wsFeRLF/WwujfUaRLIMgMJjU45auYe5nZt0tGChAcV+3cnpBNUxvW\nGjMoM0FokjSsV1+mzr4s1cQ1F4S+hy0x7qCsYHRNBU5mysRN+6ItwZTVWHii0f+kfCmM/lX0zWQf\ngr59v8RqRCvnOgXBEXBgczJBipUTCHrZLKbspJfN7K7fORf1oHyZCsqq1r5vQ/Kl1RIjLW/DAhtN\nY4JBVebv2shTmLJY2wbtPBs+GVcQj1cxvLGRR8toMivevOEmrgCR5ZB9ylZCTj1vAaZsAtDGmDmV\nt0xLjIkviU1c3XlTwMq8zulMmQMsJDWsXWX1ZeLsy+kKsBrY7vmUczsv8/6sJIOjpy3vyX0wB4Q2\nD+Kl6D2L9+8bfYqjr2uA01grxZQVkC8r1tBAmeowjSwDuh5t1YoqKmJH/0421D3B0ClZL8KUGcbw\nKV9GBA6me4+MCDgqIQmbpy8s+dLHlDmN/nnH6wVlHvlSgiorL/H6MsbEcfpGHh1mX3oBUqmWGIDF\nlNG8XTTZNMxadYopiwIkVV17kinbGLpZ9z2FIuJlo49Z6jb5MpUpO9mnjC9CIUhhcFhlgYVUf1eX\nPAvySdz/GlhI9pQZRv8EMNg+CPsA0osLdqYssSXG+CTuKSpI94Wnr2Iw70li4lZxB2UFQxr9KTey\nBGUvuvPyZYUGC48DQcVacX6aLhZ9yuJM2T5FYHtIT4AyJbFFmLJS1ZfAwXQfAGWWrEfYPH1hyZfN\nhd7RP7E1hZ7T2TPsOGZpk/Xq6uAJyumPdjxOldesNg0CpJKgTDvPUkr0RkLervaATxm18EiSQNn0\nDIAFq8ZkUUxcSuwxrTNRvnwS16V214YFmU89GMNY1WiRwJTVPXC835Dm7xrXSciXKU1NHWAhtVVE\nmyPnHa5tCjt3qiVGZhsO46Xp4M2M530sA44i1fF23qfTxMSt4g7KCoaULymm++eNOXrZnS/JrVlL\nAmXK91RAvuw2bwiZKZMLyom8bdVikKOLAouN6SnLAyl6zl2+7IId/WtW72DlpHxpLIYeEDqt2ngT\n9UXSWlMYOS2mzM7rZa0yZGKvrHcAv4aR+BgJfY4YY3Zlq5F3P95xiTFlT6KpLwHQxJkyTb6kjDuK\nMAtSMiWZ7nWJLRTjU/AFwyqKCf2qqkZHBmX+ebnSazUQgMe0TgIIpjRxDbFzRNN9U7VW4Uo874ni\nAilfJoOUZzcoS2XKAPWSQYrRPt6skE22yUzZ43kf243iDsoKRl0xMNSYCVLisD2kLwoY/Ss0WPF2\njf5t1WJOmX05yX40+Q9CX/d7z7AIU1axSgCkxE7zx+hqTUpsLsHZl04ZMReUEeVLuzWFPTuPEpZk\n6snrBUgJIEWGFzgcwG+QQRofxTkmekOC/i5NFhfSU6SJa8L0gigoo8qXHrBwDOO+DeQdOQEIqrzx\n9h8k4MAqkO+SQN6+3osVor9mmQQQTJXzDpHcPFa2p0jxdvnacBBZq6Zq0kHK4TxnteGQ4bA9BPOe\n8BkbEWmVZOe9y5efi2Cg+btk89hXBeTLumpJOVVrAY4ioGxkiD58EiA1sgT5BGWsZKCAjAhoFUjA\n6SobYxMPPPTqDVXG+CSq6jI8g7Z86Tb6O9kcubgmGlidUqLjeI1z68qbEF7gcLi+QYDk2TxDOf09\nwzpDvowyZcTjJcmXW0uMOFP2TJZq43MoOwzrgr4irEGEvF45+virqkqsQZQIXN/Utg0twW6x53Vf\nX3KVKbR7KGK3MD9kn+dUf5e6nikg5TCXOLVJrrEmRNZn8ws/lmHKAG+TbXfeu3z5uYkKLRaC0X/Y\nHpaXfQFQxhpwAlMmaf6uRJ+yuhXz5CIPn3pgp+dskKJyyj5lARlR5txnUD6eqrIxGKTAQ28BJOLm\n6Qq7+tLN0I2rg7WKyEyhnM7msYfjHZbBz5SVKC4ALC9b1FOWsLg6GUE9b4rRn3iem8rRA874gW5r\nHhvJCZDPM1W+nPhMnEFJZMoobA5jCUyZ/zwne61QZct5x5xp7SnCE0jMD9nPr/TrkeZt6i8wgWbX\n9gfN9SqVETTuoSRm8LkcYxXpX2nmvTNln5uoWYMZ8RtZDi1/VcBT1rCWJl8uExow1Ifqnpxoqw2U\nETr6q9YUBXqjjcsYfRMzNrdMkGLlBLyGe8BhDJ/y3wDt6ks3CB2X0dEv7DnrDdC5ibuM/j75MuM8\nN5WnUvkABoOsFVHOk9HVnd+DpDGSQR+byktvlBttTyGZsmj1Je14SaxV3WPka4J8GW+USwIOjIli\nI0oE8lasEoCX2ksriSlzv1TJ5406kFwNB08Cg+aekOTXOzZyzQSDqgEx4TitF5gkZrAgY5UqX5Zi\n6ArHHZQVDmp7imEewTnDy47uwfFFU7XgWKI/Ny6jeFsscDOK6sv4LDm10ZwAKTIUQIq1xNAXpun5\nXG80oyVGuHmszZRlSqaWfOkGoU7gMOUZWN3ypcPofzT1qrzpYDBs9DdbYngBUmJpe1i+3BlJmnxJ\nO89R+XLryzYuo/JJ+fPSzjOJtWo6jHyht8SInGeqp2xkrIh8CQiQRGaQWH2aKUsFSKoS8qxsqjex\nDoTBZCeBFPN4VVEMRb48espSmLKxUPWlypvSEuMuX34uokaHlQLK1gHgDS4tcdxIIJoE+bJjrMjN\n2NYtRsIsObWhngApMvq6JzFlpqfsHBg0Fv1I81hjczvx0FtgxbPIuUFZnhzgli/tKlevvysDDJJb\nYsSqLxOub3AT1xjJqNE/4X6OG/0vu3xJqr4sy5RFgSBAYrqj4FP+KsbQ8TWeE4gyGmpNiOVcUz1l\ndmsKGUFgr/8KeQ8lM2UO2ZTo17N6hp1gBoNSvy8nkMGUFYRCtUEAACAASURBVKqCTDrP9+rLz03U\nrMFClBLBa3T1+UvQVi3AaNWXPWdFbkYhX8Y7ZKsHtsCbiTH7MtISw2jierbik9A81trET9DjlgHe\n45VwslaZMrFTeqrtRc7rtco4z95F/3Ce51Dbhgz50t/Rf8/rZQRlJNzPUVlvA4PRnAAdlFGkxKbD\niHcgX2LztVIicl85++u5fs0yoWPNqdYUMoISuBbDOmR4ytwvGdGpEPLj+jp0UjalAMGVr5jX2faU\nJbXEKMRYpTJld/ny8xFN1YJTKiGXAeAtqupkJ2MAbdUlyJcocjN2VYcJa9zoLxeJAhr+Ll/GW2IY\ng8GLyZeBjv5HsHLiDdCSKpoeWGdgNdkFJ5uTeZ79Y5augLaBeo3+GefZK7EdPHRBsJJ4vMEN9dAS\nIzpmqZh82SumLC5f0s4zrfqyx4iVLl8SQBmtJQZHu1KZsjATSpYv1wltVacZ0H1Vn1QGSa5DSVWQ\n/gKDWE7OubkOpYLBQ4U6BQiqhuSGp4woX3KOYs1jZV7KeV4XcV7u8uXnIxrWYSUY/ad1Ari7O3Zq\ntHUDsAU88vY5ruM297KMfDlxDvBF3OSBnGrc0UmGTi2GEhx5jtesvjxp9DfkS3/Vp9XO4ET/HVu+\nlF3BCZWQmcfrBA5ND4ALQCh//TK5gUNG3rb2MCsHZjA6ZqmUfKk3j41WX9LzUo3+0eICgMxI0qov\nO4ycE6svH6OMRld3mBdCE2sALY+/RIq84fuKKiWKlhgpTFm4FQeVterrPr1Vg0M2pVzPmc9YdTma\nClIUODKvLyWnMT1FBrUlxjwAfC3HWFGrTU9Oebl1nAJljLGvMMZ+lzH2J9v/f9nzc/8vY+yPGGN/\nwBj7/dTPf5qiqVqA8agpc+YjGAqBsqoDYxxTZEEclmFrh1FGvpyxYgWiw8FV9eVJMKhYjtoGC3oY\npvuTDB1VvrSM/ieqPq3F0DPk19kSoyRT5pjb528em94CxLvoH2ZfhpvHphv9vQySxiyQxiyVAmXS\n6O+6nscgyi6k5rF1j5GBCMrKMWUjOLolgSkLNEKmACTJIHVVk8jguNcriny5rAtmvo2worZqWBfB\nlHWvnDlj51be10ZLDAoYXEaxlh6Ol5LTmDMsI9KyaP/Cck5vqerL8KQXFXL6yGe0JcZvAPgu5/wX\nAHx3+29f/CLn/Ouc829kfv5TES3bSqYjN+W0Tkjoax3OubEIj1NcSuwL9CgD9odwBoIPgpKeSjBl\neksMICgl7jMoz4EyqyUGXwAH+LXAypk+Za7qS8DdnsLlKcs1+rvkS8CSEt2esvSCCu9A8lsa/YPV\nl5qnLDpmKcHoX0ekxA2EDssQlhI5J4NBkgep6QVAioGyZRb3QCRvU8fbU3DOMYGjJYyFUyCl/8D7\nIxRQNnNNYqMwOB6QonISJFPVqLvqnN5MZwRACkWOtlgrKhhUU09spixGLpxiykozVlQP3ZQ3iu5t\nxVlQ9qsAvrP9+TsA/vJb/vx7F3IAbWyhWNapGFPWb6DszRg33bfrWuTNRHV8jsy/LO0pm9YJPDLk\n1/ADnWwSaHjKPDIi4Ki+PFH12VatMtCKvO7hwt7qyxymzAUc1Pw8U0r0MmWpzWN9RuKDh847RSAB\npMgI9ynbZfFg9aUEKQlG/7B8KUBotOJzHgDQmG6SB6nuRCUkpbgAKNISQ97T3UKQLwmbNgUgKQap\namkMjpof676+fd2TAVJf9/R+YR5wBNCKKBQQNJrHJhyvA5RRyAX5syqoLTHGwkwZ1UOXMaf3bcZZ\nUPZVzvn3tz//GYCven6OA/g9xtj/whj79YzPf2qC2lxwRjmmrN8ewqcIKBuWAd26FJEvZXPBKTL/\nsmT1pTy3kxz6HWrkqlpinGTKtkWfcx5k6OzZl/mdqq1u2iqvXQlpbOIZIEWG07wsZaOjfHncxIlM\nyjGCsy+BXUr0gZX5CipIkRFuibHL4tGGtQCdKYttqE0Pvoz+IgorL40pi1ootlwkHxsQPV6KAV4B\nB4L3LARSVE5CG46dzSEyZZG8bd1G5UuDQaqJ3q4QKCNUQqqJLfL5pMp5nvuKArItyRSgt8QozViR\nmbLCYLBwRKkaxtjvAfhZxz/9F/p/cM45Y8znNP/3OeffY4z9DIDfZYz9H5zzf5zweWxg7tcB4Od/\n/udjX/udRVu3wEJgyvhYDJR1Gyv0HGvkukzo17mofDkyFh55JFmrQvIlAIx1gw7wgkFlDD8BUmRI\n0+y0TuhCoExn5zJBigx91t0DHrwMnQWQMkCKjKZq3M1jAbsS0uVjA5KP19ucUj/P7YNfMs144w23\nxJDM4BAZ7UQDKTKi8mXdYQbAwcOsFZGxUjljm3gtXm7ITFmB2ZdyXWwJjVBJoIzClCk2h+ixUnk9\nLTGqDo/zY/hX6F6rJjWvfbxeqV8LCyBRQcr4ZktietlI11OXaWU4JoG4P1zY20Vlyt5zo38UlHHO\nv+n7N8bYDxhjX+Ocf58x9jUAf+75Hd/b/v/PGWP/EMC/DeAfAyB9fvvstwF8GwC+8Y1vUPtBv/WQ\nm3gclE2oWZmbot82k8cx7B8YlxHtupSpvpRsDkO4PcW6VT2tU7R6i5pzYBVeAeFKyKrdN88TD70C\ngsuIziMjAgev1cmH3prppxgr8/paUuIJOaCtWyx8wbIuqCUTSTX6JzJHMrras6HWOzjinPurLxNA\niowga7Ud7zw9YeVrwMcWlreOEWWQml4wzoiwVgoMlvGUjRvbHWfKiKAsRe4qyJRFWSsJkOo2zXPk\nMNwDYo3/aPgo+CvkdxLVl0SmLHCem7rB8/wc/LgFkFLlvM5myqI5F+3cqi/7jsAR1cv2GTf6/zaA\nb21//haA3zr+AGPsJWPsA/lnAP8hgD+mfv7TFmoTj7y9rXxCzcrKl89TZBEuWH2p2BywsNF/GcUU\nAeB0XsVaybmdgUpINUUAOPXQK4Akm9YCzgXWHO107qFXRRSSTVAMzkG+tIoL8sCRnjNUYMA5d1cl\nZsoBfd27N1QJQpcBM5/9DFLG9fXmBNR5njbmoChTtk7+ljV1j4ECypTXqYynbJRMGYtsA8TznNRC\nwdF3z/5hGiiLgk8lJZ73dgE0+dJgrchMmZuxAoieMqfR/5ynLCpfujxlkZZFVt6iLTFSwOD7KV+e\nBWW/CeCXGWN/AuCb23+DMfZzjLHf2X7mqwD+CWPsfwXwPwP47znn/0Po85/mkMAh9tCumNEUAmWX\nbfN8ilRfDst1A2UlmbKI0X+d0Mnb7OSbiQK8ksnxLMZ7xef5h95gPhVIsRlJw8d2crFRgFfKFQ6G\nTpX5O0FZnqcM8IAyrU2E/rMqxnymbF5FbyUjNPArz4GbKUs/z96cgAKD43b9gvM2gSSjPwC/x6vp\nhQ0glBNIY8oI0tMkmbLYNkAE+yktFDrO42ZwAiNJ8ZQp4FD3oi9WjKWLPL8UIKj8XXW3ebtGAkjx\nv8xRqi+NnAC9JYaHGSRdT1f1ZaRl0Z63MGPVXIQiQwX77+mYpVPlf5zzDwH8kuPv/xTAr2x//r8B\n/Bspn/80x8P2tj1G3lBWlGPKLo34PdcIUzYtsnlsSU8ZwiOPlgmtXIvOype1zBlmytRYnkywoIcu\nX+7gyD7PZsXnOYbOYOcAJ0PnBEgnQJn87sYifJAvrUVf5ZXHm3Z9VVHMMuKi96LSPHReIGjkTRuz\nBIjjtJrgyn+bn/w5gWRGUge8TnDZiH5hwZxGXkKfMoIHSb7cdIhMFSHKPRTgoEC2nJvb+nuQUZgy\nCoO0s1baS0Yd2PrGuHyZxFrp1eJNH/hQwFOW06dMdtbnHGCBa+wBoaTr6Xo+NW8mQlMxIlWuyaF7\nYKvAffWeG/3vHf0LRy9Zq0h/mBUzGsp4E0JcGilfxiqCpnLNY2udKYv0KVMfOt/RHwBGOZrKAwZ3\n+fL8w6eA4DKai40WK18x89ms+AROgzK7+tJsTQEcANIJr4TlYwMso78zJ5Atm3pZZU029eYEsjx0\nzuM85J22zcI/RSBdvvTmBICtNQWA8JilRKO/qhr2hJJMY6AswVNGlbs6zuPSGuH6pnjKQoU65gfC\nRn+SX0/3d5HzbvKlA6SQpGHLUxZuHbR/MF++9DNlhLylmbKA59eI0rJp4biDssIhAVKsZxhHoOQ+\nNWe7gbLoQjEVky/V238AlCmTttwXSsmX8i8ceZd1wcKXveITOMeU6S1OPIb7XR45GP1zPWUS8Fry\npVkFCRwWwxMMndNTVptg0MtaZR6vwULqoW0mTs/KMW/C9Q3aC6RUvTFlfk9Z2hu+89zqocmX4Xmb\naUZ/YG+c6opx82ZGXw2JIFQvFvHmlMZwDsLmKT1W/vNM6Rm2S+CpYMHf0Z/qY1NG/5N5SUDQ5SkD\n4g1kfaAsVjUMn6fM/fJqf/i859eIgOfXysuqMGv5DuMOygrHC8mURUAZ2IyGlWHKZM5r4GZc+YqJ\nz+g4ysiXEjjA3xJDmbSlf+fkw6f8XZKK9/QLA2BWX54AoYanzPPmqTYauTCdlE1t+dJe5NQCfGxY\nC+R5yjRZT8VhkYszZZmg7CgFaZuJs7rrRF7Lr2fk3f5tu2+KMWUxUFZrnjKSfEkz+gOe45S/brMB\ndLFa9gSmDIgAQfkyAZ7AWIVbYsiZj7GcrRy4fYKxAtLkSzFmiQhSAgwOhbWy7AXqJZLAlFXNvr4l\n5HQ+n3UCGGwugPQIn41Ac28jpidxbUOS7juMOygrHA+bR+I58ACufAXYUowpe9iYsiFiuAc22aBg\nn7JQSwzDPwKczmv0RgOcYNCg8AsYOg02xyNDqHN7rL7MBIPWJu6g5Z0AKcNjZeVcHKBs2UcPAQ6w\nktkh2y9f7puJsw+SjAxQZgFeR95xA7degJR4vFH5UmPKgvIlAaTIcILs469T8mXMgO6vCtQjKA1v\nYXrKKMwRAxr//Rw9t9q/dfL3UOS8SgNTh+iqQLHIFlZLDIAmq7UvgMrelkmesiOTfRKkZEmmgHM8\nmz9vQQkxRZ5+T03+wB2UFY8HVQnpf0uwNvGT8WIDgiGmTC1MxUGZvyWGOk5ZDVNgIDkAjHITcTx8\nBlgp0KfM2MQ9MoTFlJ2UTS02x7HYuD1l9E37GGH5cjP6r9tGUx2Aw1mmzCtfDmH5MuL9Scqp5R23\nN3x/9eUGUvowSJGRIl/SWmLEr280J4BBypc8ZvR/FHIPYSB5LKdRfUnaPN0gRQZlgoq6hxwTKtx5\nw9NHKEDQAEieljZ2Xv9otix/V4qXzTNFIFkyTcr7jkDZydF7t447KCscL1opJfpvDG8VW2ZQmDKV\ns1T1pWH097SmUEBw85iUMvrLPcQBBmXbASFfnq/uMdgcj0fDqnpSYPAcU2ZXX+7HKwGS8YZ6wsDq\n7lNmyi7OkSpAMkiR4W20rB2vNycQrZJLyqnlnbaGmV4mW4KUJlDhpYWz3YgemtE/uCYMr0XOUOXg\nFhT5Up6BLsD4iLxvxDmOyD1BaXgLdT0pTNn4GH2GKM26baaMAAYjPjYgDAQNVpnKlE1+MCjHZgVl\n2iNAIhv93SBFAsFQsYix3soge+gey4IjMiP5VK7i8wZxB2WF40UnboxQJaRsXRGUKhLi1ZbzGmlN\nAdyIKfONO5JeDmn8LTCQHABGuTB5mriqn81gUnw5p2XyvolZIHt4vX24tHyptcRwgZUzTNmxuAAw\nmrgCAU+Zx5MSCwlWLPlS20zC1ZdvhLSV4EkJMiuyOTGFKes+IHtSKPLlQPGUjY9kAKpm0wbYlUm2\n4Yj2dXIzKcegMGWKteKgeY4iz26Q+Tzk7Fqip2wKgzK9lYsvDPmSakAPXF9ny5rjx4/FPylynme0\nEwfHwuOFG9bsS1Le0kwZkZG8M2Wfr9ilRP8N+fFVyD2S4Tobr3qx2IR6oxmyQdHZl/CPO5L+kXlb\nSBIYDVfY8qW9qBtvqAX64BibuM/ov51bJespT0oe6LabxzaCmYnKl282uSfdOOuWL81Fzpjnp8ew\nbdqJxlnvhqozZSH5cniTzM4FAVIjGedn4/tZQQQpKmfU6N/tACkmXxLzUsCKfI46Suf1BFBGYZBo\nLTHiIJQkJcp1SK57VNnUE0lA0OhTRgFH/nmbsZyWjSKl6tPVhiMBCLqZsnxmMCtS8r6n7TCAOygr\nHi8laxVYcD65ikX/RahxYkK8kkCQQuFzFHkQdqas8i5yCgguk1iYPMZZalhMmauJq76JD2/EYhPw\npFBzCvnSP4NS/9nUTfsYbinxYvYpc7XEGN9kA1/n5saY0RU8yJR1HyTn9EpPmpctWH2ZAFJkhD1l\nm1S9gTLLO5eZN2q6b6hjlujXlyKxDRKUkZiyeF4n23r8VXITl81jQxFhrACap0wx2e12DCTZ1H+8\nFFCmcib1KfMfL2VSzLiI+buVbK5NZqw8njJC4YbMyfQXsgIeuqwgM5J3UPa5ir6pwdcmyJS9HsTm\nKv1nZ+NFt1WNRR5YAOiaS5FS4H3kUes3+kuJbR5Os2SA5s3hs2CiHOfYkA3GdCbFyml09HcvNrZ8\n+Qbo00GKDOfmVnfGZmIs+jIyQIoMCUCsza3eh/wavZf0GF9n5VWAd/U0j12GcPWllBETguQp8x2n\njESGLurvai4YQQRlxLwUZkV+m6injCibypzecVLa90ky+odyEnxsislOYcoC8pbxoub7FTpYoXq7\nPIyVnjMIkI5j12oqGPR7yoC4HG2x2NSWGKVlRLU+x/IW9rIVjjsoKxx9WwG8xhB4eD4ZxJv4y0Jl\nuaQ3mlUDZQVCLYZ14zf6y5zzWAaUHdtTuFpi6BvqScZKzzktk2DcHCDUAILAjZiy3lhc5SZkAIcM\nOU9G0HQvQZkPII2PWXnj8iXBU5bKlIWYlUYyZWJR9/YpS/B2AVT5kuopS5Mvg8ABAox10VmQaZ4y\nUiUkQDSgR5gyIkACgK5LYcriRv+grLdoAOlkFaSeM8ZaOccdkWRT+35WxxkCvMtoP5vKi0phrArK\nlwcPrDeGfEXhbcQdlBWOS1OD8zbIWr0ZxaIvpc6zwRgD1obm5SgFyuTmVjdRpqydr6cZK2Bf9Idl\nEG9FrpYYuqyXuHm6wtrEm4vdp+wIkE7IiIBnc6tNEKpkIB04nMjr3dyaPt6nbMgDoV5JpmoAiFYr\nXnYOyGIGgx4k9X0iTFnieY56czT5Mlj8k3CeSXLXJl+2ka7tVNCd4u+iMWXx80yVL7uqA0tqmRCe\ntwnEAZK6llRvl4exAujg0zTcE1uAeGRiSs5pnewXCbJs+rrIvmDnJYDuE0rGreMOygrHzpT5Fzo5\ngulVVwYgiWiU7OIKJXc1ZWhbxhi6qsNQ1VFPWTtdi/jYZE4x8qh3gkGDtTopIwKiio2B7QtTY4NB\n+W8KrJyQEfXfYzVy1Wh5t3x5A1BWd/GO/pmeMq/Exphi6ILtYzKYweAmXlVA1agXqjAoK2v0ly0x\nZNWkOy/9PFNkvYGvaDkHIzEL8eOlsDnDMgjfE3BaRgSIsp4ESFQmZXwTZHBIAGkdd1kvpaO/5/nN\nky+pLTHcMjFZpj2+pFEM95yXZ6woedd1A6F3puxzE31TA7wJMmWPo5AvP+jLdRVmvA3LBvINtaDB\nsa97jAFQJh/my3Qt9hB0dSeOxceUGS0xzsuXjLE9J7AxVhH58iQYbJgAgrZ8qTFlvuaxuZ6yoHwZ\nmX150lPmZa20lhh+pqxQbzQt7xhr7px4nqPMCmMY6xodKtMwbeUty5RNfEXPObE1Rfw8U0FZr7w/\nz+FfSKjOI4HPZdjGHZ033AM0+VIc55bPUyBkhAQLnvWZavR3dtYPHe8yCdAWkC/JjKDKS2Cs5ivA\nl8JMGcHoT5in+q7jDsoKR99U4GuDKQCQHjem7IO+HFPG0GLmBE9ZwZuxqzemzPPQKuAwPhd7+NQw\n4IPHSoZl9C9UYGA0cvWMWSrlKWOMiQHEhnzZGWCwtKcsLF+Oxr/ZRv88MBh8E286MfvSVWWq8r5O\nvr5RxqHpMCwDKlb5WatE0E0aeVQ16FlkOU64r0gsB5+FjBiYPgLOyXnpEtt2/4TyrkvQ+K5y+nrd\naaEAkvTwTgEwOI/AOgcZOuo4qaTB4HO44TS1YW2yfBno5Ui9ntZ6QGGsBgmOCsqIlNYjmY2u32bc\nQVnh6JtKMGUhUDaVB2UVWswR4ymAvSy8QPR1L0a1RJiyfnoqxpQpsBIx+ndVl+11OkZXd5p8aYMy\nJV+qgeTnwWBbtw75Uuvof5RMgVMeuqZqULPa3Z7iUH1pgZVMMOjNCWzevXEHSOyQk/PynrIt77hO\nfulSyR8Z8mXIMF3VaEPL8TyK+51afUmSu6Z4E9fpCQBPYspIAKlqCHlBZspiKoEhX4byEuZ8psuX\nsmltKG+48TN1xqcblAVAaOA8U5lP2+hPYay2Bts3YcoC5/kWYLBw3EFZ4WjqCkATfCt+3t4Qv3Ap\nJ19WaIJMmfLmFGbKxsDsSyU9FTDc6zmF0T/MlCmjfwFDp2LnAKs1hZ5zZ8ryqhGNnFUXrL4c1xEM\nbAcrnGcxR0ZO/Tj1vNvfjauQRwyJbV3Eon/Cy+adQ7kZ/fu6t2W9ZWM0Es+zlIa9m3jdYVxnv3RJ\nBAt6kJqqVjU6RKRLgHyeqQCpg38ih8ibPgSd5u96iORNBGUU4MCYWDdCTBlhjitdppVG/1Y0fw4x\ng5HzLFvWxICgE5RR8joYSQrgNY5TRlUDrCaCo5KeMoJsegswWDjuoOwGUfEwayVHMH2hoKesZh0W\nHh9v0vVfKJZTyJf+2ZcKIF3P9wuT0df9PvIo1BKjkp6yMq04jOHgodmXyyz+/SxTdhxAfPCyybd/\nBVbmK8DXU8xgX/ceo/9V5fTOvcw8XmdOwDD6e03+GXkZY8ILGRh5NK5ToHFsel7SoO6qRh8EZWkj\ntChy17RMImdw06YfLxkI1h3QXsLgiOj9ic4VheiDp7xWrV09beaNn2eKHG08K4wRQGh4bm1WS4y6\n2RjJ0Hn2Hy8JCLpaYgACEIYKDG4hI0rQTZJN76DscxUVC7NWz9vD+VCoeSwA1KzFEvKUzZIpK0fb\n9nUvml56FhvFIK1jMWOlki9jRv91hpBdykwvMFti2ExZUzWik/ZJkKJyWvJlZ+RV5mX1F3KRy7++\nXd3Zm7h2vM4F+MS8TeDg19NjYyTHZXQDpBOG3bZug0b/gc/hHmVA0vWtqxo1qyPyZQVPxkNe2vFS\nexe2gdm1Rl7C5kliVtZhlxJLypdUWa95iICU+PNrtOah5ATiIFQdb7j6MrkSsnkgMnQ2GCQxgquD\nKQOcVeruvIVlxENBlDfvnSn7fEWFFkvgLUqOYAp2706MmrVYEOikPYnFpjhTxljc6M9R7OEzjf72\nYqNK7qX8UeDhM9icg+Fe5jRM/sBpMBhjyqSUuP/F+bxO1qrZj9fJWqlFLu/6euXLGFN2Avx6gSAg\njP7rEm6HAaTP3Dxez+OvZUw8J94fSPPCqJY1MeCAiigzEeRLguledrqPgjIiCKWAFeP5bC8RkCLB\n0Un5UmfnAMLxyvMc7lMWA9nWfdtSwa99P2f1RpMRZaxuJCM61mcjEp+jdxF3UHaDEACJAMpC3bsT\no2Ed1oB8OYxvUHGO5lIOlPV1LwaSB5iyrmqFKFOIKTNAmWOBUgtwIcZK5jTlSzPvpBvDhzK0vMXm\nHD1lx6qnAsfbVQ6ApBv9j0AQ2BfXE604nIv+xoQ6PStAFmMlwwsEAaDuMfEAKEsAKcecwc2NVegR\nQGUZoDso02LbUFkdkRHp55kCBPdKyBg42o43Un0pGepYJaTRniJTzpNBLS6w/F3B8xz2smXJlwBB\nNpXn2c+UkQGvkbeLMFY3khFjTNmtwGDBuIOyG4SQEsM9bMAr1FVdLGdbtVgRWCSmJ1H+XvAh6OoO\nA+BdXIX0tNHppVpiSODgWWzUm1tJUGa1xDDzSnZOfIF8sKBHX/Xmou8AZVaPMuAU+HUCB02GcHvK\nTsqXXqbsooz+QaYs476KecoGvoR7lAHJ1zcKkKJMWfp5jgJBCcqCMlN6gQHd6E8AKYQZhVZRzCEM\nttUxkcPMGweDsho4qSqxfaDl9TDO2axVTDZVIMXOm1S4cQyqt+sWTNnJ6tp3HXdQdoNoIqBsXEaw\nsIMkOdqqBw/Kl0+i/L3gzdjXPQaGnQI/hGDKturAkvLlOnoXm50pOw9S9Jx7SwwbDJrypWSOzg9C\nNxbg45ilo3+kgKfMLV9e9jFLepm/+iLnFrmwfDn638QzGSsg4imLgrK84/UyglsMDOKlyfsD6dc3\nlnNcJSg7b7iXQQKCdeftM2jlJRxv8HriAJDaB1qBQSRvkG2FAyDFGLoAOAL29jFJ1ZcqL0GedoAj\nqjTsNvrHvF03khE9k15UDH5m8H2JOyi7QTRVhzUEkJYRFQLjVDKirTpw5s85TE+ie3fBN5O+7jHB\n3xF8WAb0smVDafmyfeFcXNXCVACkWDmBbVE3QaixABcCg5fmYi6GB+PsrTxllhn9MGbJz5QVrr7c\n3nj9TNkJ+TLkKas7jOAEUJZ2nqMAiQHduvp/QUZeQ3Z3/cplFC9NJCN4GabMaORKYXAImzbFO2fK\nlyGQEgZHKmcMlB39XW3EcE/I29VhRtApX544z8E+gvLjvpemGGM1vBbXoi67D5LAYPdKjFR7T+P9\n/Waf4mirFjzgKZvWETUry5SJPjwTuOdte5qvm3xZuKM/X8XD59hQhDyy3WIF5ctpnbwejVvJl2ox\ndCxyxqJfCAx2dYdhPjJlg+hHdswJlPGUOeXL/c3TKVWc9Gh4WY72BTAT5MvSnrLmghFroCVGXvVW\n34RB2QSg4yFQVl6+FMOkI01cE2ViOlMWA0efkPP2dZ8mX1LAEWEQerS7vmX0j4AjVu+9xVw5Y9fT\nZS+IFhi8Fuy/BxyFci7rgtnX04/SEuMWEiKlwOA9li6BOyi7STRVB47ZC5DmdboRKJsxLe6c4yJB\nWdmWGAO2jcRTCdnLW6xg81jFlK2TmN12zFn1RZgjQcSg2gAAIABJREFUGW3d7guTZOi0a2syZWXy\nWsyK7Fa97KyV1c0fOHWe3X3KetGkdV3cJfcnmUHLOydjYyS9JfcnznMQlLUPGPkaN/pHDOjH6Ove\nBNnHXwtOY8oS8vZ1j2GNSE+sjVdBVs3emJOSk2IMjxnfhzfi3ms810GLGGtlFOLEqhEHGpMSysk5\nt5+Vpo8XNvQfiF5bnugrPwu5rAtmVyuXKFMWHhkWYj7lc5vVEqPQtBU7L6Elxnts8gfuoOwm0VUd\nwDhm7pYTJz6iYeUqL4HtwWAzrpM75zhf0Rbq2yWjqzuMfBH/4WGtVEPMgmOWhmUQi6sjrwJIBY2k\nxsLUXgBwa+SRDcpOGv2Pi+FhuLAlXxaoKvJ29N/yOqsvCzSPdTNlYjMJypes2ucZJkSQ5WhfYAAC\nfcreCIDSpD2/UQYJQBeQGjE+CkCWILvQfE8RUCY3z9CgdC2cEvghp6q+DG7ar8n3cshTxjk/MGWR\nasThE9K9HDq38zqDg9vyZUzOi7DrxsvhIbwAiSLXBs6zs3ehzLkEQFmMsRrDYDA7KC0x7kzZ5y/6\nQNUK5xwLn9AcDdMn41J3YIzjcXQviMMy3sRTNvBFFPI7qHk1xgUo29F/nfbN2Ge6L1QFCRy8OdIg\nqvnKDP9IpDM3Nfq6x3XRjq22mTJTvkxjNFzhlS8BfyXk+EZsdJmVxF6w0r4A5mcMc8Do370ig4Vj\nzhBTNjDuZ8oyR4Zd6ktEvlzRLX5PqJBdyvrYhHzZxT1lCex6CHwaAClWfUkAKSpnAGTPfMbKV7Oj\nf8zoT8hLYZCS+pQRjjd0PY2Zv3rEvGwRkBLKaYy0O0asJcatZMRYAUmEGXwf4g7KbhChUuJhXsEx\noy3YowwQnhUA+GRwV0JOy1i8JYbcuCbAz5RxCEYj4JVICUO+BJymewHKXgsg42M8UnLqi74DDBr+\nEaL8EQubKZNz3a4qp3MYeQZI8eYEjHlyahPX46QM4Qdl4jyP3j5l+W+8zn5sKu8LTGDoj0PXT+aN\nMWUDXwVT5qvAzJBdgscJjVWenwN5065vCKwYDBKlTxkRDAYB0pHNKQCOgI2dizBIVkuMmOE+cl+F\nWEg1Ri+5+vI1EGgoHjq31sxfPUhM2S08ZbFJAndP2ecyLo2/6d7jMAMsMPD4ZM43g/vBH9cRLaps\nRsMVqoM3Y972FMrHdgIsGDnrDgtfMEtAcsir3sTHx6IVn8MyCI9g82DlteTLAnktpkyCWp98WYCW\nDzJl8xXX+equvjyxuHo3mg10Bzv6n+mN5pUvHzAwhtY3hzIzb4gp45xjxCqeFd+GknE/xyS2hS/o\n6l7MTF09LF3i8YbAp8GsyFYrPh9dAlMWki8tNofSIoIyUioAeJ0MEqWjP6HiM3ZurZY1JNk0LF9G\n2TnX8xkF3XmMczS0Fj7OIF7fdxl3UHaDuASYssdhAatmJXGWigcJykbPQ7vOoidRwVB9bAKgrOdr\n0YfgUgtwMnhAmWLKCj588jjndd6ZMl2+1KXEQp6FvunFxrlunj15v2jypdk89vzxOt+KJRhcRM+w\ny5HxPHm8MaZs8DWnPAEGgybt5oKxYnuBSqG8MYAEQIAyT8+/nPNMkrvkPeRjcRKPlyJ3KaM/4N9A\nEzxllOPcjf4PAoD6pOIIc6Tn9F1P+ZLhBGU+RpIAQikAyfaU9XGGLtSGI9BuRF1PV6Vy+xKYHgN5\nbwSOKH3o7kzZ5y96BZDsN4U3G1NWHJRtw80fR/cNOfEZfWFQpkZ/VMzpDxmXEd26FC0ukOf2Khk/\nn9E/Qf6IhWSkRNNaKZse5Mtaly/LMGWAxrYejf5HsFIgb1d3mLkGBAFNvvSMPCoAysZ1tCuV2wcs\nEJ4gr9G/dHEBgHE7z72PKcs8zxbzqf9KublFQVk5pkx+l75xezP3L5d2fUM5DeDQ2oyzmZfOlCWB\nT8U4+0AoTd4KyZdOpkwWJoXOcwSkUM6tLV8+iCp1/Zk2Phj3lJGlYePLvoCayuDNewNvV/cynPdW\nVZ8F4w7KbhAvNoD02iElPo4ClF0Ipd4p8bAtNj6m7LrO+8ijQkFiytal6JuJYsokKDssrsM6aKCs\nnHwJbIutgykz5cvHIkZSa9ZdbYKyYRncnrISOY/jnQAs8zOmdVLnX8XJRU75Eo99ptoXGDfJ2230\nTze+6zl9AGnczqn3lSnToNw3cWN4y7kfpFw/ITE4Rs4Qa7XdR4r59IKFj5Pyko3h0bx0UBaShp3y\nJeCX1oh5Q/Kl2+gfAb/jm+h59raPgQayj8+Kp0pdxQn5Ur1MuPYyT8siAIItvJWnTDb3djGSyyz2\ni7vR//MXu7/LwZRdZzC2FAdlLzrx8PmYsitfcSkMytQm7gFl4zKiX+biFZ8AcJVGep98WbAfjdy4\nhtndisOsvswHC3p4mbJlwLIuNkAqUM3kHHosAenW+sJagBM2T1coX+Jx4W8fxLB7+EBZOkiRYUnD\n+q+VoMw38Wj4BLh8KT3nBlZcvQsVy4EAUzZ8AlzSjpfElDmYX/MH0/KSjeFNBCwkMLB90+PqATu2\nfBkAg5yTZbUkdk7P6zrPnJON/t5zewTZMkJgcJnE39/C6O8pxFJ/x9fbyIjtCwCel5upXEX+LeMO\nym4QLzeA9NorX05KbiwVr7aH/mnyPEBYi0umFKasW+abVHwOzAZlRsl9wZJrBQSX677YbAyd6mqt\nqi9pnhRqTlu+HN2L4fAJcPniqZzOWXcSkEpQZnX0P5fXO19PY8qc8uX14+y8im11bKpjLRjY3tdd\nPxGkyHCykPJXbhvmZS3LlBkFKoeQx35Rm7YjL+fJ4JdsDG/NwhUjllls3MS8IaZMsVZ6nzLADVLm\nQbA7lJYYgQkNTlkvdJ7HRwA8mjfUp0yCbIvJDjFlhOkF2UZ/OUjeJSXeahg5sL8Qu8DgLfMWjDso\nu0G82jbuN44b8s0wg1UTXnXpTS+DOXspX3qYsmMzwwKxAyTbU8Y5FwzSPJwGC0bORssJGIuN7EnU\n1/2pTfsYcqG7zlfLC2Mt+oXy+kHZVdtQtQX4WgCUuVirrRXHsC1y1qJ//TgLpMhQ8uVR5tiqIPWf\nUcF5NjjSf59Lwhy2Vhjd6qDK1kUwoRmg27qeek55PX2esukqDPGJ17eve3C4m1hLINi32wblAkfj\nG8FoJOTt697tEcSRKQuBlLRGyCS/3pEpc4EUNVIqfn0v9cU7ocEpJYaYMmLjZ1IRxZHJDoFQwvD1\nfKYsAI5uNYwc2F+aR0eRQcHRe7eMOyi7QbzsxYPgAkifPE8Am/FBV3ZK/atOMmV2zmVdMDHg4WRD\n02OoDdXBlCmwMl3LgjK5oUoftpZXbuzFQVmjMSuN6SkzZAPOT4MUGdYmLheS8XHfxCVAWtcsecuX\n0+yPJo73OopZhMaiPw9isb81U2ZNEXgE+JLPlOly9CEkU9ZxhzFazmPMyOs8t1uoTdznKcvMG8qp\n7iHFLDjyXmXeNKYMcDOCBoMk7yMnSEmbHxuSo62mqiEvmzzPhE27r3s8L54X4NkBykIFBkQwGAJI\nim3NYcpiHf1zjf6AGxwVmD7ijS4gmxaaS3zruIOyG8QHGwvm8nd9/DyAVbMCUaXiixdxMz5Njjdx\nuUg0ZatOTPnS7qwPAP30XETOkyEXnVGBMtNwD0C0/piesrw/rjDlSwnKrvvfye81PYty+xJM2bHX\nndw8xzf7oi83tuETAPw28uW2cA7bQmos+nLT7m8BynamzJJH1LDq8kzZdct5cTFlGSDFyukAA2pD\n5dwt91zzjleeN1dO9XxKRsPF+mScZ69HUPs7IV8GGBziUHAZITnab/QPgZT4pn1pLn5f4pbzodHU\nkFCBAREMJjGCKq88z67rG2essjv6hzxlt2Ss5P3slE3l/XwHZZ+7+NJF3BiulhgfXcXN8pAxsy8U\nX9xyPrnGHW03Y1+4FFixOVXt7KwPbG//N5Avr45B6GqRkAtlaaZsHiz50gBI14+L5bWZMrnYOJiy\nkyDlmNN4M94WzusmKRkL8AnmKJgTCMuXJ8ARENnEFSgLMGUn5Msga7V65MtB3lfp1Ze+nOq+lRuU\nK2/GeQ4e5+ow+odAGfE8B0G2BLwyX0sAKQQGJ3QPueVLAgiNjVnaGMHZ0ejXaWkANO+eiwmN31c3\nMfoXXCetCDFl14+2vGVe1m8Vd1B2g5Cs1aPjxvj4Kh6O0v6uF9vD9+x4ExuefggAuBTW8BXL0fTO\nGZTA1hCz4MO3L4ajeAt0MGX9IkFZGYbOWPTrFqjaXb7UAZJcbEoa/eXmoXklnufDPVRokXNubhsY\nHEYXUyYXufzj9cpdIaP/yeNVwN7FWjHBkDlBGWET84WXEdS+h1e+vOaBX3mtXDKbum/7bYOS7IXx\nQ+lMaOg4DWO49pLhz0tsiRGQoy0DvGKsQpt2/HjVPeTyJboqIUMg9HnL+xAGCw+1bKhsH6e1Jqi8\nJrNvhLqf/Xll70IXEMw2+hOPNytCXrZbgsGCcQdlN4hdSrQfhI+vYhGytP+TIRcA50bz9CEA7a24\nVE7VXb+zHgKjIeYtPGVSStTOsTz2B7mAFDb6q8VQ6xotF8NLc9GYo/OLjQJlG7uAqhbAbHxjvxWf\nZI5kSLnFuIfqDqgaXF0tMTLBgh5euavpcd0qbO3eaOdkU1W44WJWNoN67+r4fuJ4KRKb1+ifCfaD\na4Jkcy5f3r6EA5RlgFDrZUIL9aJWdbt0JVkiPdSm/eWknCSA1O/eTG9ewvNrFP8cQgFBHZR1AVmN\nyOCEXia8rFVLAKEBcKTsIh6Gt2IVGuaYE/uuwFHIy3ZLMFgwToEyxthXGGO/yxj7k+3/raeIMfav\nMsb+QPvfJ4yxv779299kjH1P+7dfOfN93pf40uUBnDM8Ox4e2VDWoplPRmijGZ5/LH6mL3szqkW/\naa03MfUWVZopO0qJGrOgANJSFpRZi2H7oOQAYzG8hXypb27dK0O+fCtMGWNA98pdfVmAGfTKXYzh\num0o1rNygrHSf5+TWeGiWOTB1fTyhHwZZMqU0R8Ro38iKAsBQQlWXnxF/MXoAEcZx2t5IV05m4sG\njlxgMG3zpEiJ6h6SaoELDCbkjUmmDMwsUFGFOiEQGs4bXONnMW2DHWcMhwo5CCBUXs9n38SWqrNz\nAmFwdP0IADvlRfVGTDatmv1n3tM4y5T9BoDvcs5/AcB3t/82gnP+f3LOv845/zqAfwvAE4B/qP3I\n35H/zjn/nZPf572IF30D8Mb5RvN69LQWOBlt1QKcuReJqwBlfeE3E7VI1K31EBjm5ZsyZQ75ct42\n+MKeMgOUHTxlD83DbT1lwDZC5NH2yRTK62VWNFBm9UY7mTe4uW3tOPygLFO+JHiQ+tkBys4wZU0A\nOOiVc0FvV6J8ueV0bagKCPZfEHJ8IaZMSmzOc7toz4pkUlx5ExgrICJHHwFSHwNHNLAQAvZyHJkB\nVvoIGKzaKFiIybTuKsgI+G1fqLY3zpwhVnm5+smFEDh6/kjcU9UNhLo2IJtePxL3lAtEvkdx9qz8\nKoDvbH/+DoC/HPn5XwLwf3HO/7+Ted/r6JoKWDtcHQ/PmxsxZYwxMHSYXG+o2xvg5UKTA6jRVA1q\nVuNa15ZXQr2hrryYtws4gJXmwcirAFJpUHZ8E9e8bIapt4DHSoaTWTkwZbbR/1ag7CWG2XHfnmSs\ngjkBXLfN1qhiA04XNgSZFQmQXEbwE8xgiCkz5GgvU8aS+zop1iogJfZ1L4CKk9H4BGB1ErMQBILz\nFRWrxAtkVW33cx5Y0CPUA+46C+CgAFLTC0neCULpYCEEVp7nZ7tfWPcSAPOD0MsXo2Ah5hF0vuiH\nvHvPH0WBr9PSsIU8t86IMVa38nUpo7/rfv74vZcugfOg7Kuc8+9vf/4zAF+N/PxfBfDfHP7urzHG\n/pAx9vdd8uenNRhaDI4H9s10G6M/AFToMK6OhWkDC/3DV4rmY4zh0lzwXDXWZmIyZeUeBMbEW+8u\nX+4PvVysLlJKLfTgt1ULBo2F1LxsxoZawGMlw8msdC+B8bVd3VUAHAEBsNK/wtVlJL7mgQUjZwiU\nbSOP7OpLKUPkVTBTvDkXR2sZDB8LQE4EC0bOCHBgYOi6F36mrP8gmVkIsVbDPKCrOlSsEtfPZ/S/\nfCGJWQhez/mKS60BpO6Vx1P2k6Q1IyZfWmDFBwYJIEVG7B6ycm42AC9TRpFMAyD7Ol/dMyibCwDm\nlxEja5W6nh7w6VV8GuFFDTJWtwj5AucrMHjPTf4AAZQxxn6PMfbHjv/9qv5zXLRw9k2MA2OsA/Af\nA/hvtb/+uwD+IoCvA/g+gL8d+PyvM8Z+nzH2+z/84Q9jX/udB+MtxsMiMS2rv3S5QFyaHl92dL1Q\nLTEe/kL5nPUFQ11bi9wOytaifcoAsTgp+VJ7+JT0ND0BrCrWB0eCT6MSUjJluvR0/Vi8hRe4tlJu\nMdtTCPnSMi9fPxbfqT4329TrH+leuo3E121Y9QkZIvgmXgsDsS1ffkJiFnwRAkjP8zMqDrTOarXz\nUwSCclfrA2VpQ8FVzghwUJt47wML6VMigjLtUe7qA+CIaPIH4vKldf94j5cGjoC4X8+5vvcfuGXT\n68ckkBJ6VuQ9ZIUEg05QFmeOYiDbYrH1aF8G5MsbgaOqMtZnI4jn+V2Ho2zCDM75N33/xhj7AWPs\na5zz7zPGvgbgzwO/6j8C8E855z/Qfrf6M2Ps7wH4R4Hv8W0A3waAb3zjG17w975ExWzW6pPnCYwJ\nr0ppTxkA/MyrD/Avf8l+MGWPqYcbPAiX5oLr9GzR8ntV4gugjt5maTnlrLv+A+BxB+gKrIzb3LyC\n3gGjcWP3Engjbl3D3yU3zwJ5GWN2s8juJfDJ99xMWYFr21YtmsrhhexeYXj8PlAdAFKBeZvyGFyS\nzLVu0Gzfy4gTw8iBMHAYlgE9GJivr9PJhrU+INg3PdDajLP4UN55DhrDdTbHxxxlnGfFzjk2cYtZ\n6V75ZcQEmSnGlFlgpf9CQEYkgrIQg7Q8uwGSDww+fwS8iKsYQS+kixGU0b30g98v/vPBnKEq0+fl\nOUwudC/8YPCn/pVg3lPR+vJ+BHzp52+Xt1CclS9/G8C3tj9/C8BvBX72P8FButyAnIy/AuCPT36f\n9yYa9BYo+/h5AqptFJCLaj4ZvsG8w3aD3kIyvdQXXKvKZsqkp+wG8836uheLRP+BsbgqI/HwWPxN\nzOhsrS2uRh+kAiBFD2vESf+BYfRX1/MkSNHDeQ91L3FdRrRVK+QuGQVGSjVVg7Zq3Yt+VePCHQD3\nZN6u6oQc7Xv7Z6y4FyY2+/JSX7Y3fE+VXEbeIAupg5XeA46ef5LEWAFxT5nJlHlk0wRwBMRbYlhs\nTvfKw1jRwWBoQkOQKfN62QhtOAKs1TAP/j1lY9ideU8yZUFywctY3VC+BAQY9D2/nwNP2W8C+GXG\n2J8A+Ob232CM/RxjTFVSMsZeAvhlAP/g8Pm/xRj7I8bYHwL4RQB/4+T3eW+iqTrMR6bsOt+UKbs0\nF/fDs5kebyOZXvDMmPUGqEz3haVLmXNcxu1N+xP196qB4vV1cVD20Dzs0pO2mUjzclM1RUCKHpf6\ncD23N16ruqugHHBpLg758hWGdbJBfeLmGcrpBCt1I/rcHePpx8AJf6RkIb3MCmr3Jvb0IfAizwIQ\nAw6X5qL60DnzvkzPS8oJ+Jmyxx8lH2+IQbLky1JMWaAq0claeUFoOlPmk6PdpvsAU0Y43livuzBT\n5mGsIscbrL4MGf2BDRyVe8kgR+s4Xs4/NZ6yU7oS5/xDiIrK49//KYBf0f77EYD1dHPOf+1M/vc5\n2qrH42zeGDpTdguA1Ne95w3V0c6gUFyaixhNM74Rg7E3f5Fic27wEChZr/9ZkZdzgDEMy4CmatAk\nLupJOYHtjVcsrnIxZIyd2rSjOQGjJYZx/zx9WIyWv9QXewHuXuK6zvb98/Qj4Gf+tdM5H+oH98tE\nVYtCkWM8/Qj4yr90Kmff9H6TdtXsRRtG3h8DP/uvZ+Wrq9r/fErW6vIF4Cf/jyPvj4AX/05WTh8L\naTJlHgbn6UPg5U8l5YzN+DSAQ+9hrAozZdZa270CfnJoAMB5HlPmMcD/1IPjvB3sFntemtcpxEI+\nz8/46Yefdn/QBbrXhcTsxxoQB/cxl4w4D6LH4y0ZKxcYnJ6AdfpUeMruHf1vFH3VY+FmQ8wfPw7v\nhCkbphvLl7K+QytDfl6e0XGgfpG2qFNCsRz9KzEAfDvm63wVnpbHHwEvPQtUbk59E+8+EA/5MpsA\n6fFDoODxPrQPeNYXl+4lsIwY5sPbfwaj4QujoEHlfYUBCy7H++fxR0WO18nOAbhWFR5c444KnGcv\nUzZfcalag4EFIDbPpx+RvD++uDQX83rqOeuL2LSPYHBdBRjMPF6vpUE3hm9VvUYsswApifdVxard\nXnAIyxjuYsrmUawjCZt2sLLVBRxcsun0DCwjnSmLsVZU+XJ4DfClCFMWli8PeWXFdmy0U+Ov4H2e\nnyNGf4eMSBjtdDpCeT8H8uU9PNE3F6wwQdmHb0agmlBhk7sKx0P94H5gpyf0qNydl0/GpbngWQ4H\n16j563wVLEdhcCRzDvOgdecWC87zvBlPC4EFI6e+uclGkOMb02D7+MNkZiEUD83DgSmTw8Hf7Dk5\nz2I0fHGpL7bpvnuJgTH0+oy7ZQaef1wkr+9l4pkxMYNSB2bzIABEhpynh3Vut7guEpS9FudWxvgo\nwP+J+8qXU22o/RdsMHj9SGzamaDb+6J2lC+HN+bxblNAcvL6QLZlDNcYZxWqqz7dy6bkaE+rCOsF\n2AWOEqcIqB6N1JYYKq/j+gIkkBLzsXkB0uWLNth//gkpryrE8XkEQ+SC6/omNgbOChfYJx7v+xB3\nUHajeGh6rGzCuu4L3Y8fR9TVZDYzLBiqVYQenOM6P6NndfF8wLbocwnKNNP99Cw21BuAsl2+lKBM\nLDhCkulEP6nSTNlRvgSA4fXeH2h8FLR8YVBmLIZyOPj0tL8VXz8WtHyh43Vu4v0rXBlDr1dBqk27\nEChzASTG0a/cXNgff1Qkb3gT7wUQ0t+2n7a8J67vpfYwghLY918QwG/WXuae8sER4JDAtZyG0Z8v\nZgPobV5uFijzsHPX+VAJ2X8ALAOgj7TK3LRDx+mUL8fXgoXMzOusjpY5fT3DpIxogN8NLBBAqJKj\nY9fzGJcv7EyRDHVfhZnfWH+9YMHa5Yt2XinfFlwnnXmHQ943W2OIG+xHpeMOym4UD80FjE14HPfB\nxj9+HNF36038ZABwefwQ19ffB/70D/a/HD7BAC7e/m+Rs75g4BuToTNl4yd4uBFTZsiXgKLmh3nY\nj7PwQ2/IejLv8Hp/K1aLTbnjfaiPoGxjyuYnjZ0rA1Jk9I0DrHSvMDKGiz54WOY9yVgBAU8ZuGBb\ndVBWABwBMVlPTkrQ8+aDFBkWyJY5JWsli0Scx1uYKTNaYpiMMwDtvkrP+9B4rqdLvgSKHC8ZCAL7\nS5Xe9f1x27Rf/Qw9p0vqR6A9Rf+BYbcAsIOFV7G+63vOJHYO2MGRDga3lj6xvIwx5/Vc1gXjOqoW\nKMG8emSc5+S4fBF49oBB4nl+l3EHZTeKF+0DUE14fd1B2Y/ejOja5SbeLmBbJMB3FgMAHn8kWI4b\n5pRDnBUVD+B5+ESMWLrBG9HeEmPbxLYH/3l5xgM2RrA0KNMN8BpDp97EH+WmfUumTIIyzVN2ctO2\nctYOia17Ke4hvR3GUzkw6PWUYRXAvjA4AjysMjbgIEfE6JJPgevrBSuS5ZD3s/6Wf/J4QwDJaB4L\nmL4ymTfjObo0DgkcnuaxgOl3ev1n4v8TN89Q4YYl66mXKj0vDaQYv8bDlAVbYhzzKnBEAyku8Mk5\nD3vKLl8UbLruZ0wARy6Gl9QE/fIlwTbrzG8iCM2Khy8J9URnQlXeO1P2uY0PugcwtuLDN/vN/MM3\nA/p2uR1T1n8Rz1UF/vST/S8ffyj8QLfKWV/wLOWH5z3vdXxzW0/ZMuzU+yY9XOcr1LJ0A6O/Wgyl\n1PD80f4mfgum7Gj035iUQZ+tV5gpcwKk/gMMjOGiLxePZRgrmdMJkPiyMWVlwREQkC+XK3q5iet5\nC4BfH1Om7iHX0OqT19cLHAyjvwRHGnN0Ur4kVV92DnCkNs+fTcrpKtzgnO8+Uz263RO6500HZS7W\nalonzNxRqQxYdgszLxGUOZ5P57QN40NbhaXOWiXIea7j3JuDh0DZlvd4vKw+1dImGpcvAuB2Xv3F\n5z2OOyi7UXzhIt62f/Bmf/C/95MndO1yk8pLAOi3gdSj3EAA4PGHuDKGh4Y+VDglLs0FM58xASYo\nmx5vBspeNC/EoqDAkcg7zAMukqG/hdF/PoKyH++VVoUZK2DbxHXGYVvIBlllChQHg86qxIev4Kli\neIDmg3wqxwx6N/F1Fp6yJ435LShfensvSbDwvDO/JY7XK19KNkduYkbefBkRCPQu1AGSCwzK483Y\nPF0553XGtE620R84gKM/EzMTE5vWuooovGBFMWWHTbt52L8TIVyslZoq4utTBhyO98+B/ovkOa6u\n51OxVr59RTGwh+N98RdIo9lcOY2m2b7wgcGXP31qNFs0VF7tOXr8oQC+N/Byl447KLtRfPlhA2Wv\nNxP6tOBHb0Y0jectqkA8bCbVqwOU9Z1jKGaJnBurMDBmbCbX+RkP63oTUPbQiirTWS6gGyi7Llc8\nyKKDwvJlX/c7QJIb1fNP9s3tBkyZJRtszOBVlyoKgRQZTrnrxVfwzBhe6J4UxeCcf+P1Aod1Etfz\nIMeD1aerqHyS6bAMuMhN7Ji3apM27WN4mTIpX0rgped9+rEo8e/yXqpcwGFZF1yXK15ImVYCIAP8\nfijAQsbwdRfz+f+3d67BkR3Xff+fmbnzuDODwQBYYPHYF7nc5VMSxdXyoQcZibIkO4kcVxLLVXJU\nioqyYymWFD2KTOxK/MXxB8mVpEpRxSXbURLsePidAAAgAElEQVSXVSpZVVbJiRSZjqIvkWKKjMQl\nl8tdaknuYrEABhg85v3qfOjbd+7M3AHmcbsXyz2/KhZmBkucud23z/n36dN91XfoWEr0E6GFNZmt\nGjJo2xG757gRX5uAp+zBK1LWhg7afllIV6zsuXzpEb+F1eHq2HwmMO6h2X2XL52x4tfOA+DnE9zD\nwfc6EsNPHBXW9C8hquv1E4M3ASzKNJG15axovShnRVfzcuCEww1ty5cxVXNU3mh/WMyhHCIkY3pO\nMna3aUeTnZmyZhVxYOgZ7yDYTtavTCRT0k4QKzfKiDWbMnhqONFfzfbl8y1DQGnTU1OWkzPtAMVv\nh03AdTaVVs1T6L8hl2MCemyXr0BKTKEUCiHRbNdHopST32fMh6ADex1PUZXZ1pLnflZnhY0503az\nrR7c5S7l1LvtJmfGmmn7CcFmq4lGqyEDqhJlRe+karwz6PxsqrZW48gV9N7rLa6PLLj9Nm64y13e\nzIq6Lu8kcvf6SPVGfoLXFSvdk2C/6y0Mb9evjm3PpUTVnh1214beXNA9VkrO4eDJSB/fY7cz+6PY\n9asR7Hjmbz/U8SId5TSDi8GR2Uvs3wSwKNPEVEIKpJwjypa3nJua6tqWL93Tl8udadtSOALbSum1\nmZjsEGXlVg3xUFRLmlrN8EtqCVNlyhoVxJu1sYPnXjbLjbK8JsduteHU5hRzgWfn1CzUDTbhCBDL\noNSqt7McxfVAl0xj4Zhcjm61jykQkRhKRLCbnvPCApx5KuEgPJk4WZvTlHVspa5gkhx/55Zt9Yqy\nWksWJMdiGUd0e4Ln7nAZDT/2Eg6JcMITtD3Xu7sCpIerr/Lit/RUco76aGfKlF2PONpZASYWRrPp\ns4nCfcKHd/KgxotXhI4YPBNWwhUnir7F6HYfu+nh7O6VQfIVK2q8eE/1HzJT5icEVYbQ7c9B7Q44\njvbKzu0pypTdUlc7BzB+98TveosGMnQBwaJME2knY5IryVT11bx0GE3sccjfmLjPKat4g9gqSqFw\n/wE7rk1XlE10BLFKq4G4puvsECuJrBvEqs0q4vWKlu3WKqugApoUZZvt7e+714D0fKA2E06diXdZ\npmVPoiyaSFrOrHjnGjCxFJxNtRztKYKvNCsQRLC9u6h2loHMYiA2/U4qd2tzIolOcbR9NRC7KlPW\n9BxM6y7JWLZzX3ns7iyP3c4qC+kVn0pI2JYts47xTJfdayOLI8BfOCibrh+K2nKJtOgVoaPb9Qvi\nvmIlNiGz2h1B+/rQ4giQ/VnqOsXd7c/uYxsSWSm6e8TRcHbtiI2i91gNtMWK7VfD62ZCuzNlg9v1\nOyDcvYf61Q27ItS5XiHaNVYD4Jc9H6imTIkjtalAiKEzgyPRLcpaTWfSrNluQLAo04QSQWsFua59\nNV+GFSbUWmXtAqnsdXLbV2WRti6B5Di8ij0lHapDRTS1PIwc8AikRkk6cGfQVxoVxKsFIHMkeJuW\nxyYAJGfRKqyi3HD6c/sqkAlOHAEeke3JOlTsaQh4HHBAImUvm26g8dbsbI8vUlybPs/Xc52+lezM\nHO1cAyYCEGVOf/pdp1vf1SEGxxehiUgCAqIjqKqg7opsr10hxhbdfgG1J1MGyMDdY3c0UeabQWr6\nCCQimS1TdpsNGTxHyJTZlt2TKVM2e2qtQiGnnR0/2ajKbPuQdpNWssem6k9fHx+25JK/Egu1kiy+\nH3L5sjvb6tufXqK23GSgMoO1gjyqYtCz0XzqEgeqKYulZXmJut5yXh7NoVuUJbKy7lTZLW3Iw5F1\n2w0IFmWaUEFzrSCLSV/fLGFxMoFivahNlLlixVM7ILauoAShzaZyeBU765710xItVAmIx/Q80sIV\nSPWSzE7trrhb0ePlncAezt1hU9WxKWGSPozS7goAIBmxnaAdrChzbXqccCk92/5dq+lkrIKz6/an\nJ6gqp58oO4XRjZrMLAQkBv2er+cuj8QzcgkPAOoVGUgDsKtserMrbm2OlZQBS51dVd2VZ4eNkbHy\n2uzoz+4sR3K2fUxCZUsecDqG3Xg43rMc7ZtZSc60z64q5uRzINMjZsqcuqeWaJ8T1Xe5KznTFgvF\nNQBiNFHmZMq8WUjfOjb3f/DYVffXCJmyoQVScqYtBneuyZ9DZNj9MoL7ZsqUXSVStq/KnwPeV35C\ncKDlSyIphJTdrdflTw2T5g5CIZktUxk6ZVdDXNABizJNqJnvRmkXQgi8tLKDk7NJlBvl9qxYk81S\ndUsG7HoF1dI6WthnwI6BcnjleEY61VYTVcfZxTWdRdMhVtKHgd3rKDtnLMUb1cDFEdB2su5yxcQC\nik4Qs1st+biYgO36BnGnDse2bBlMRDOQzFG3TW8GwHX6qmZwZxmACOx63XvIc53ucldiph28tq/I\nnwE49Z7+hCegRmzZpjvL8hcBBRNXfPoIXjeIZxbbQTP/mvw5RjDpmMA4uJlPr3DILMqJBQDkL8uf\n2eMj2VSB2ptd6VtrNeGxuzm6XduyISA6hH1PFrLD7nz7vlJ2p04MbbN7CbzYcDJl/fxt6rCs1wM8\n7Ty4Xb/s3L5CEHAmGc5KRv7VoezutVlk3/ro5KH2JGPLuZ+zxwayOxZeUeZe73H9dgOARZkm1ABp\niAou54q4nCvi1GGZhdAlkNxAQ5CzwK3XUXIK3rVl51QBfDwFiBZQWENl42UAQFxTurhDOKTngVYd\npV3pYFOtlpbB17N8mZ5HqSWDjq221k/dHqhNdznas2xYcnZS2SBg4xX54XRwdl1h780gKadf2ZHZ\nKtfuyUBs+i1fugXwyqk3aoHa7VgCd+hYesosyqDdagbWzr4iu+7JzgGOGLwmlxA3x7er/m5f8anI\nHJFiUAhg8+dj2fUV2f2CeGYJ2HZEb340cQT41HzCp2077B5pi23X7m1D2VR/d8/+7GbyaHtyMYIY\ntC1bHgfUau+E7qkR7GdXiaIh7fptUBlo9yUATHrb+VX504Q4mjzSbuet8Sc3JmFRpgnX4YWq+MPv\nv4yWAO5Zkjew7kxZkUgOhNwFlELU+X102VQHMm69hvL6eQBAPMACdC8ds38nW1PcuCS/jxDAzOng\nbXY7/YkFlJzHDiWLznLxTDAiReEXxIvONnO7WgI2LsoPp+8IzKZfEHczKy0hs0dOWwctyrzXWajL\nXcup9AIAIbOCyu6QwdMPvwxSR2ZlYkFmIXeve+xqEGXdS0+ZJZl1LeaADUccDZFJ6cZXlDV8MiuZ\nJblUWs5LUUahkYOYX9v2zeZkjsjzpCo7UvxSeKSMpF+Gd8/6rskjchmxVpLXG44NvVzrm1XeT5Rl\nj0nR3ahJu5Y91LLpwCK7m8mjMiPZbEixH8sMfFxRykqh3qqj1mxv9BlclB2TsajVkuMoMRX4cUW+\nZI9LESgEkLskM5SazuoMGhZlmohH4iAQIpE6vvOzFRyZSuCuRXkQo66slZvlCIVkwF6/4AoHXTZT\nzlEbRfUw5dzLKOYuyO8zOXow2YuOLMfMKQBAYVMKFFuEtKTHezIrM6dQdARvctd5hEfAtRJuEPec\nEVRKOcuXhTVg/WVACYiA2CuIJ0QLyL0M5C5Ipx7QkRjuPeQTaJJZR4BtXATWz8sC7QAOrN0rU5a0\nkm0htHEJWL8gnXp8vI0rfuKzRzioLMLmK8Dai0Dm6MgHxwJDBPFJZ8xsXgZWX5DXP+LZd3796Yrs\n7qN51FjNvyqvd+bUSGff7Suyu1HXu/WavN5Dp4c+vmfPsdIvazV5FICQWZzVc8Ds3UMd3+ObyW6U\nYIUsWHu12+QxOcnYuQpcPwfMDW7Xb6m/WC8iEoogGtrncOHsMVmfuLsi23nunoFsjk32uNzMUFyX\n7WzKbgCwKNNEiEJIRBI4NS9v2ifeeRsqzT22SwdANBRFhCIohsNA7iKw8lOUJua12lQDthCJAuGo\nFGXrLwIAUmOeur6fzXKjLAdfKIKis9STmjwayIGm/Wy6znD6JIoh+fBzO3cROHwf4LwPCt/MiiNI\n7O1rwLVngfk3B3om255BvCWAtfPA8k+AhbcEZtfPpgriybn75Adr54Hl54CF+wOx6SfKOrIcc/c6\ndl+U7RyA3b2WL11RpoLH6jng2nOyncegXxDvsAnIIA0Aq88DKz8dy65ff/YVSLOe6135KTD/ppFs\n+m2KKdaLCFHIv+5p1rne6+eAlZ+NZLefsE9EEghRn9B66E7H7s/kf4fvG85mn1rIfSfdrt3nHXF0\n78A2+4nslJUC7ecDnEkzVs/JMTyE3bFQWfyVn8lJlbq/bwJYlGkkaSXxpiNxfO/T78KvP3Rs75lb\nABARElYCRXsaWH4GeP1HKDk3o65MmRWyEAvH5EGuc/cCr/0fFJzlS13XGQ1FEaKQDDRhC5i9C6W1\nc9Lm4dGc+n4oB6wKeWHF24J37SXgyNnAbfrWlAlZVJy89pwMYksPBGrTzwG7y5epBeDy/5ZOfTE4\nu+o+UULMaz+ZXpB1g6/8jcyUBWTXFfaetu0o0k7Nyh16l/5aTnACsOtXa9WzfDmxKI9NuPBdWeu0\n+NaxbKq/623bUr2EEIU6sxyTx+WTIc5/R2ZxFka3268/rZCFaLgrszJ9u1zCO/ctmU0ZsZ19l0wb\nJSQjSX/hcOi0zG7/7OtyGXMEu/1s7jkBnrtHns327H+Vy7ZLZ4ayqU7td/3QIDYBKf4oDDzzp0Bt\nF1h62+A2+4jsgfz7wv0ACPjxf5KZKw1+0hc1bn70ZVkOcOQhM3YDgEWZRmzLRrVVxunDaRDRYGv/\nY5K0kiim54DLPwSKayjP3WnEZqFeAG57DFh+BgWnqLdnqSIgiKhzO/rt70ZhU9b92Mcf02IzHArL\nZ1F6g/isbNtkvQLc8QuB2/Q9EkMF8dd+JJcFTn0gWJs+M3FXlN32KPDzHwCtBnA6OLt+QrBjAnPy\nPVKUiVZgdvtlOVSGG0TAycelKIMIxK6y6d0hWKqXEAvHEAlF5AdE8novfV++P/2LY9nsVyNoR+xO\nsRIKAbc96rE7+vWq/uxeSvT1B6EwcPydbbun3jeSzX79mexXRxS2gONvd/oXI41fvyzkvmIlEgOO\nPgS88rR8f/LxoWz2G5/7+veoLQXgK08DIOD2dw9ss18meyD/HkvLrOsrT0tReNtjA9sdi0QWmLtP\n+o2QBZx4pxm7AcCiTCPdZ8p0nIOkiWQkiVJmQS4lpuZQctLj2oVgvQic+adAfBJFp04kFdUjyoCu\nM4Ie+CiKTt1N6uR79dnsOqCy5MzGkotngBOPBm7PCluIUMR/uSuSlMHs6MPB2gxZiIaivsuX8bd9\nXB5CedtjQ82098Mv0BTqhXZm5W1PSLsn3wvMj7ec122zuxi9Q6yc/bis2Tv9i4HUpKgnNHTXIPWM\nzbO/IZ+jetffkxmdMXCFQ2OAbM5DvyXt3vMrgez49GbKCvVCf7/3yCdl1upNHxp5Z16/5cu+z4ME\ngEd+W/rJ+z880vEufkKwXB/gyKO3f1oKhQc+OvQjtPrtjh5oJeSdnwVCEeDsE0M9cqhf5nPgOPau\nz0u7D/5GIPWgA/OOT8ufD/0zM5sLAiJyo7/AG5nuIL7nbqCASFpJFEMh4BM/BuxplF79LoB2QNBm\ns16UO5o+cw6Fi38B/ORLWsWnbXkE79QJlN7xKeD5P0JS01MEAFkT1DErjsk2TXzkr7Q84xMAktFk\nTxCPUATWZ845j6kJ3m4qmuqxGQ/HEZ5/E/AvXpTLXAHWsYUo1M62Kpv1UnsmvvCWwO1aISl4u8dn\nx9hcegD47PnA7KajaQBAodZ5nT3+4OiDwOcuSLtj4pspq/d5qsjxtwOfe1kK4IBtFmvF/pO0E+8C\nvvCKFMAjovzbUFmr2/8O8IXLcvl0BHwL4BvF/Z+ecsfjwJOvSQE8JO7y5X7C3o9T7wOevALst2Oy\nC7/MZ6FWwCF7QGF35y8BT10d2u7Y3PcPpW3TdseEM2Ua6cmUDXLI37g2LVvWG0zdBsQzg532PCau\nKAOAWBpFAzYTkc4HEBdEQ+4G6q5ZCRA/kZ2IJBDSsLFAkbbS2K3vuu9L9RISVgKUmNQmBO2I3VGz\n4j5KCpAzTg12O+4hyFl5xzgJ2K6qv9w3iAdoNxaOIRqKYrfW7s++T/gIyG40HIUVsnqCeF/hEB9f\n6Lubf7yZlUZxb38QS49lt9/y5b6+NpYa2W6/HZ8DTUajyZHs9iv0H3jSHbWHtuvbn8NkygDASgQ6\nkTvwdseARZlGbMvumUUB+gVS95IpgfY/T2YMUlaqN6BGbIQD3o3opVuU9a1ZCZDuBxCX6iWt2UBA\nZle8QbzU0G+zWyCV6nsE8YBIWamODJKJ/uw+HX1f4RAA6WiXyHaK0XXS05+NAZe7RkRlPjt8Qq2g\ntZxB+beemjKNY6XfOWW6V0J6bA6aKRuRvXZfMsHDokwj3U6/XC93FvVqsukXUPtu0Q6AHvFpQiBZ\ndueuRAMCqbs/b4goq+t1wID5IA70CnvdARXwz2TfkP7U3LY9E7UbcA/p7k+1QcNkf6r6S5M2Y+EY\nwhQe/kiMMeh3ThmLMj2wKNOIHekUDsW6/pm4HbF7Z1EGAmpHUW+t0H/XU0B0L7H1LHdpstmxVGEq\ns+Jd7jJg80ZkyrpryoyJsmGXu8YkHU131pRpznIAvZMmEz4haSU7rtNEZqWnPw2NFZNZKyLqrKc1\nYDNEoY5Vgnqzjmqzqn183qqwKNNIIpJAsVGEEAKAOWd4IwLqQNvfA6QnuHkLwzWhHkCsMBXEvaKs\nb5F2gHT3Z6FeQNoav+h8L7o3F5jKto5UDzQGKStlPlMWSXZMYExMDrsznybGZ9JKolgznG313ENC\nCOM+viVaKDfKRny8sql+6lyOvpVhUaaRpJVES7RQbcoHV5sI4rZlo9FquM8pMzFDTVpJVJoV9yG5\ne25/D4h0NN2TWTGRKeveIWh6ucvEdXZnrXZru+7OQVM2TV1n9yYK3fVd3TVlxjKfHrGyW9vFRFTf\nLmXXpsqstOqoNCtGJjA79R0AQK1ZQ6PV0D4+E5GEe52VZgUt0dJfRhFpZ+fUmDExPtV1uk/b4EyZ\nFliUaUSJIXUTm3D63dvRd6o7mNB4TISfTVOZsnKjjHqzLm029jmTKCCbhVqhM/NpYPmy1Ci5gtd0\nQAWAndqOdqefslI9WQ7d99BEdKJH8JoU2UKIvY+KCAh3RzakQCo3ykZFtsokmfAJqm1NHD8EdJZu\nuDYNlheo6zXhE7qvk0WZHliUaUSJoZ2qnL2ZCG7dj1UxEcS7d+eYCm4A3KyDieA2EZ1AUzTbM8aa\ngYyg1Xm21U5tx4gDLjfKaLaaEEIYzZQJIdBsNVFuDHAI55iko2l3bNZbddRaNaM1ZaVGCQ3RMDI+\nu4P4GzGz4hXZpmxmYhns1Nr+XX0PnXhrBNX9a+IeUuKaM2V6YVGmETVQvIM2E9N7srASgso5mQji\n3btzCnW929+BthB0Z8YGloFckV3bgRAC27Vt7f3pFZ/NVhOFesGIKAOkaKg2q6i36kaCuIBAuVF2\nszrag3hsws1CmhIrKSuFSrOCerNuLKD6ZVaMZD4N1yD5ZcpMZFvdSbfqT80rExPRCTemuJkyzTZt\ny+7JlPHuSz3wif4aUc52u7oNQA5a3UE8E8102jSQnXOzOU6mw0SmTLXtbm0XjVYDxXpRe3DziuzJ\n2CQarYY5UVbbxa5lJqB629YKWR2f6cL7KJdmSz503UTmE5BZSDVeJmOTWm16RbYKrNp9QiyDYr2I\neqtudLmrWC+6/gCA9vICb6ZM9aeJSXB3pkz5YF1kYpkO/w6YEdkqw6t+sijTA4syjXgzK41WA7t1\n/UuJKqhs17ZRbVZRbVa121SOb6uyhXKjjJZoGakfAaTQNeaAPWLFeBCv7WLHMjMTV+2Yr+bdXV3a\nhb3nEURqY4yp/typmbuHOvrT0HKX6xOq222bBrI5TdFEqVFyM0jaJxOxCdfnbVW3AOgfn5loBoV6\nAY1Ww72HTIzPneqOW1oA6L+HMrEMtmvy+nj5Ui8syjTidfpq8JiYFQNSrJhaqpiMS8e3Vd1CvpqX\nn+l2hs51bte2XWeYjWe12vTWCO5EzcyKvUJQOUFjQbyyjZpVM2LTKwSVKNN9D/mJMlMi25udMyWy\nt6vbbYGk+YgT5RM2K5uuT9A9PtU1GZ2oecpFjGXKohk0hFwdMJUpy8azKNaLqDVryFfM9OetCosy\njaiB0jFDNZW1qm5hq2JmtpiNZV2bpgas+vtep28qs7JV3XL7VndAVUt4u7Vdt2bOlCjbqm6557JN\nxae02lR/P1/Ju8e5qPtKF96xorIAugOqyiDv1HZuiE/YrGwC0D8+VX9uVdp+yKRPMJUp8xP2ugWS\nd0K6Vd1ChCLas1Zen7BV3ULSSmp9zvCtDIsyjURCEUxEJ5Cv5F0noVs4RMNRJCIJbFe3sVHZAABM\nJ6a12kxEErBCFvLVvDGnn4lmEKKQUQesAs1mZdMVY7oDqrtMW9txH8+luz+9WSvleLUH1Fg7oKrj\nP1S2RRfT8WnXpptZiZvJrGzXtt2xovu+9QbUfDUPAhmzma/mka/mYYUs7RtxXGFflf42EUloFw5q\nXCgfn7bSWp/5C3SK7I3yBqbiU1ofowd0XudmZVP7/XMrw6JMMzOJGWxUNpAr59z3usnGstisbLpO\nX3eWg4iQjWWxVWlnyqZiem2GQ2FMxiaRr+SNLT3FI3EkrSQ2KhtuBku3QEpbaURCEWxWNt3z0ZSY\n0IV3uUsJQd33kHL6W9UtV5TpFrxTCXlNG+UN7NZ2Eaaw9lpINf43yhvYKG/Ajtjaj+FwRVllC5vl\nTWTjWe3CwZs936puIRvLgoi02nQnTWUpsk0IB9WfuXIOuXJOuz8AegWSCZveusSt6pZ2f3Arw6JM\nMzOJGTlgS+ZE2SH7ENbL69goO5kyzUEckFmNfCVvtN4gG8siX8m712nC5nR82g2mYQobEbzqHmq2\nmoiFY9qXKiKhCCZjk8iVc4iGo0hZKe0Zh2g4iqSVRL6SR71Vx0R0whWEurAjNuLhuFwCr+Qxk5jR\nnnGYjE0iQhFXlJnwBypor5fXsVnZNBJQVZZTCQfdGUigM5O9XlrHocQh7TaVb1X9ecjWb1Nd13rJ\nXH96M9n5St7Idd6q8DllmpmOT0tRVsmBQEYG0Kw96w7YMIW11z0BwJw9h9XSKnLlnBHhAMhMx0Zl\nA6ulVWRiGe3PfwNkgFOZz+n4tPYgDgCziVmsldawUdnAdHxae8YBkP25VlpzMysmmEnMYL28jtXi\nKuaSc9rtEcnxuFHewHp5HbP2rHabIQphKjGF9fI6cpWcEVEWC8cwGZuU/WkoiKesFBKRBNZKa1gv\nmWnbidgEwhTGZmUTa6U1Izaz8SwIhFwlh/XyOmbiZibdANyJt5GYkpRtqXy8iYn+rQqLMs1MJ6Qo\nWy+tYyo+pX32D8iZ1HppHaulVUwnzAiHw8nDuF68jmvFa5hPzhsRDvPJeVwrXJNB3NYfxAFHOJTW\nsVZew4yt3wErmyaXRwBgLilFtupPExxOHsZKYQWrpVUctg8bsTljz2CttGYsiAM3qD8dkb1SXDGS\n5SAi2Z/FFawUV4zcQyEK4ZB9CNeL1431ZyQUQTaexXppHblyzohPiIVjyMQyWC2uGrOZttKwIzau\n7F7Benkd8ykzPuFWZKxoTUT/iIheIKIWEZ3Z49+9n4guENElInrS8/kUEX2fiC46P99we2wXUgso\nN8p4ceNFY07/kH0Iu/VdvJx/GUfSR4zYPJw8jHw1j1d3XjUWxBdSC1grreFq4SoOJ80E8aXUEpYL\ny7heuI7ZhJn+nLVnsVpcxZXdK1hKLRmxOWfPYbW4iuXCMhZTi0ZsLiQXcK14DdeL143255XdK1gr\nrRnJWgGybZcLy7hWMCd4Z+1ZLBeWsVpaNXYPzSfn8erOq9isbBq7zqXUEi5uXcRufdeYv11ILuDF\njRdRbpSNTQ5n7Vk8n3setVbNiI9XIvu5tecAyGtm9DBuCuUcgF8B8MN+/4CIwgC+DOADAO4G8GtE\ndLfz6ycBPC2EuAPA0877NxTHJ44DAM5vnseJzAmjNl/afMmYKFNO92L+IhZSZgbsYmoRAgKXti4Z\nc/pHJ46i3qrjle1XzPVn5jh267tYLizj6MRRIzYXUgvIV/PIlXPG+nM+NY9cOYd8NW+0P68Vr2Gn\ntuOOG92cyJzA5e3LqDarOJ4xY3MpvYRLW5fQEi0spc2Jsov5i+5rEyyll/DS5ksAgMW0mcnE8cxx\nnN88DwDGfMKx9DHX5tG0GZ8wn5zHy/mXAcCYT7gVGUuUCSHOCyEu7PPPzgK4JIT4uRCiBuDrAD7o\n/O6DAL7mvP4agF8e5/scRLxO9/bJ243YvCN7h/va1IC9c+pO97Wp6/QG0bum7jJi89jEMff1yexJ\nIzZPTrbteO3rxNuepoSD9zq995NOvOPjVPaUEZu3ZW5zX5sSgt72NHUPef2Qqbb1Xpspn+DtQ2/f\n6sTbnjfCx5u6zlsREzVliwCueN5fdT4DgDkhxIrz+joAM7lfg3iXfu6fvd+ITe/yxCOLjxix6R2k\nZw+fNWLznpl73Nf3HbrPiM17Z+71fa0TrzN82+G3GbF59/Td7usHDz9oxOaZuXYFxH0zZvrzwfn2\ntZ2eOm3E5ltm3+K+9razTm7EffvW2be6r72CWyePLLT9nalVgjOH2/etqQyStw9NLfW/+dCbAchd\nrqZqIW9F9q06J6K/BuDX6/9KCPGXQX0RIYQgIrHH9/g4gI8DwNGjZmYGQRCiEL706Jfw7NqzHUFH\nJ+FQGF95/Cv4wZUf4O4pM04/HArjq7/wVTyfe97YrNgKWfj9d/w+Ks2KMZuJSAJPnX0K5UbZ2Gwx\nE8vg9x75PawUV4w54Gw8iy8++kWsl9aN7b7MxrP4nQd/B1OJKe0Hxypm7Vn85pt/E0fTR7Uf7Kw4\nNnEMn3jLJzAZmzT2/MBT2VP43Yd+F4w9p3MAAAZLSURBVFbIch8yr5s7p+7E5898HoupRe3noinu\nmroLT9z3BM7OnzWywQmQ4vNXT/8qHl542JjNdyy+Ax+792O4c/pOI5uqAODRI4/isw98tiMDygQP\nqQMpx/ojRD8A8DkhxDM+v3sYwL8RQrzPef8UAAgh/i0RXQDwmBBihYjmAfxACLHvdPXMmTPimWd6\nTDEMwzAMwxw4iOgnQoh9MzMmZP3fAriDiE4QURTAhwB82/ndtwF8xHn9EQCBZd4YhmEYhmFuJsY9\nEuMfENFVAA8D+Csi+p7z+QIR/XcAEEI0AHwSwPcAnAfwDSHEC86f+AMA7yWiiwAed94zDMMwDMPc\ncgSyfGkaXr5kGIZhGOZm4SAtXzIMwzAMwzD7wKKMYRiGYRjmAMCijGEYhmEY5gDAooxhGIZhGOYA\nwKKMYRiGYRjmAMCijGEYhmEY5gDAooxhGIZhGOYAwKKMYRiGYRjmAMCijGEYhmEY5gDAooxhGIZh\nGOYAwKKMYRiGYRjmAMCijGEYhmEY5gDAooxhGIZhGOYAwKKMYRiGYRjmAMCijGEYhmEY5gBAQogb\n/R2GhojWAbym2cwMgJxmG0wn3OZm4fY2C7e3ebjNzcLt3Z9jQohD+/2jm1KUmYCInhFCnLnR3+NW\ngtvcLNzeZuH2Ng+3uVm4vceHly8ZhmEYhmEOACzKGIZhGIZhDgAsyvrzRzf6C9yCcJubhdvbLNze\n5uE2Nwu395hwTRnDMAzDMMwBgDNlDMMwDMMwBwAWZT4Q0fuJ6AIRXSKiJ2/093kjQERHiOh/EdGL\nRPQCEX3K+XyKiL5PRBedn1nP//OU0wcXiOh9N+7b37wQUZiIniOi7zjvub01QUSTRPRNInqJiM4T\n0cPc3nohos84/uQcEf05EcW5zYODiP6EiNaI6Jzns6Hbl4geIKLnnd/9ByIi09dys8CirAsiCgP4\nMoAPALgbwK8R0d039lu9IWgA+KwQ4m4ADwH4hNOuTwJ4WghxB4CnnfdwfvchAPcAeD+A/+j0DTMc\nnwJw3vOe21sf/x7Ad4UQdwJ4M2S7c3trgogWAfw2gDNCiHsBhCHblNs8OP4zZFt5GaV9vwLgCQB3\nOP91/03GgUVZL2cBXBJC/FwIUQPwdQAfvMHf6aZHCLEihHjWeb0LGbAWIdv2a84/+xqAX3ZefxDA\n14UQVSHEZQCXIPuGGRAiWgLwSwC+6vmY21sDRJQB8C4AfwwAQoiaEGIL3N66iQBIEFEEgA3gGrjN\nA0MI8UMAm10fD9W+RDQPYEII8SMhi9j/i+f/YbpgUdbLIoArnvdXnc+YgCCi4wDuB/BjAHNCiBXn\nV9cBzDmvuR/G598B+AKAluczbm89nACwDuBPneXirxJREtze2hBCLAP4IoDXAawA2BZC/E9wm+tm\n2PZddF53f874wKKMMQoRpQD8BYBPCyF2vL9zZlG8HTgAiOjvAlgTQvyk37/h9g6UCIC3AviKEOJ+\nAEU4yzoKbu9gcWqZPggpiBcAJInow95/w22uF27f4GFR1ssygCOe90vOZ8yYEJEFKcj+TAjxLefj\nVSe9DefnmvM598N4vB3A3yeiVyGX4N9NRP8N3N66uArgqhDix877b0KKNG5vfTwO4LIQYl0IUQfw\nLQCPgNtcN8O277LzuvtzxgcWZb38LYA7iOgEEUUhCxe/fYO/002Ps9vmjwGcF0L8oedX3wbwEef1\nRwD8pefzDxFRjIhOQBaH/l9T3/dmRwjxlBBiSQhxHPIe/hshxIfB7a0FIcR1AFeI6LTz0XsAvAhu\nb528DuAhIrId//IeyFpVbnO9DNW+zlLnDhE95PTTP/H8P0wXkRv9BQ4aQogGEX0SwPcgd/P8iRDi\nhRv8td4IvB3ArwN4noj+n/PZvwTwBwC+QUQfA/AagH8MAEKIF4joG5CBrQHgE0KIpvmv/YaD21sf\n/xzAnzmTuZ8D+CjkxJfbWwNCiB8T0TcBPAvZhs9BniifArd5IBDRnwN4DMAMEV0F8K8xmg/5Lcid\nnAkA/8P5j/GBT/RnGIZhGIY5APDyJcMwDMMwzAGARRnDMAzDMMwBgEUZwzAMwzDMAYBFGcMwDMMw\nzAGARRnDMAzDMMwBgEUZwzAMwzDMAYBFGcMwDMMwzAGARRnDMAzDMMwB4P8DpLNKKlGU9X8AAAAA\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115d94828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"y = np.sin(np.linspace(0,100,1000)+2*np.pi*np.random.rand())\n",
"X = Variable(torch.Tensor(y))[:100].view(-1,1,1)\n",
"lstm_out,hc = seq(X)\n",
"preds = []\n",
"pred = lstm_out[-1].view(1,1,1)\n",
"for i in range(1000):\n",
" pred,hc = seq(pred,hc)\n",
" preds.append(pred.data.numpy().ravel()[0])\n",
"\n",
"plt.figure(figsize=[10,8])\n",
"xs = np.arange(lstm_out.size(0))\n",
"plt.plot(xs,lstm_out.data.numpy().ravel())\n",
"xs = np.arange(1000)+len(xs)\n",
"plt.plot(xs,preds)\n",
"plt.plot(y)\n",
"plt.legend(['seeding','LSTM','real'])\n",
"plt.title('LSTM')"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"i 0, loss 0.6766386032104492\n",
"i 10, loss 0.08960302174091339\n",
"i 20, loss 0.06483016163110733\n",
"i 30, loss 0.02981492318212986\n",
"i 40, loss 0.04954509809613228\n",
"i 50, loss 0.03407452628016472\n",
"i 60, loss 0.025375887751579285\n",
"i 70, loss 0.09891653805971146\n",
"i 80, loss 0.2540358603000641\n",
"i 90, loss 0.07317787408828735\n",
"i 100, loss 0.03900996968150139\n",
"i 110, loss 0.0674595832824707\n",
"i 120, loss 0.10516145825386047\n",
"i 130, loss 0.10297923535108566\n",
"i 140, loss 0.046210967004299164\n",
"i 150, loss 0.054667647927999496\n",
"i 160, loss 0.023959867656230927\n",
"i 170, loss 0.16390299797058105\n",
"i 180, loss 0.05645120143890381\n",
"i 190, loss 0.042052023112773895\n",
"i 200, loss 0.11774586141109467\n",
"i 210, loss 0.08688152581453323\n",
"i 220, loss 0.08099570870399475\n",
"i 230, loss 0.3180047571659088\n",
"i 240, loss 0.10113456845283508\n",
"i 250, loss 0.047235146164894104\n",
"i 260, loss 0.2902715802192688\n",
"i 270, loss 0.3443862199783325\n",
"i 280, loss 0.03771297633647919\n",
"i 290, loss 0.028061293065547943\n",
"i 300, loss 0.06659778952598572\n",
"i 310, loss 0.12398902326822281\n",
"i 320, loss 0.11477266252040863\n",
"i 330, loss 0.06283491849899292\n",
"i 340, loss 0.13298310339450836\n",
"i 350, loss 0.33371612429618835\n",
"i 360, loss 0.59975266456604\n",
"i 370, loss 0.41622963547706604\n",
"i 380, loss 0.6926494836807251\n",
"i 390, loss 1.4432835578918457\n",
"i 400, loss 0.8822147846221924\n",
"i 410, loss 0.7171741724014282\n",
"i 420, loss 0.6477827429771423\n",
"i 430, loss 0.8351407647132874\n",
"i 440, loss 0.43784528970718384\n",
"i 450, loss 0.4064001142978668\n",
"i 460, loss 0.193987637758255\n",
"i 470, loss 0.10379771888256073\n",
"i 480, loss 0.08949015289545059\n",
"i 490, loss 0.07683061063289642\n",
"i 500, loss 0.04381557181477547\n",
"i 510, loss 0.12480437755584717\n",
"i 520, loss 0.1388021558523178\n",
"i 530, loss 0.037893351167440414\n",
"i 540, loss 0.04953606054186821\n",
"i 550, loss 0.24315008521080017\n",
"i 560, loss 0.1317615509033203\n",
"i 570, loss 0.04171653836965561\n",
"i 580, loss 0.06841955333948135\n",
"i 590, loss 0.040421076118946075\n",
"i 600, loss 0.3845840096473694\n",
"i 610, loss 0.44541192054748535\n",
"i 620, loss 0.15309324860572815\n",
"i 630, loss 0.24814480543136597\n",
"i 640, loss 0.24322731792926788\n",
"i 650, loss 0.1829749047756195\n",
"i 660, loss 0.098934605717659\n",
"i 670, loss 0.04069057106971741\n",
"i 680, loss 0.047000084072351456\n",
"i 690, loss 0.10140608251094818\n",
"i 700, loss 0.08021475374698639\n",
"i 710, loss 0.11905328184366226\n",
"i 720, loss 0.08046454936265945\n",
"i 730, loss 0.04605445638298988\n",
"i 740, loss 0.044597312808036804\n",
"i 750, loss 0.025888364762067795\n",
"i 760, loss 0.032924629747867584\n",
"i 770, loss 0.04045112431049347\n",
"i 780, loss 0.062354281544685364\n",
"i 790, loss 0.026230856776237488\n",
"i 800, loss 0.02005046047270298\n",
"i 810, loss 0.024137025699019432\n",
"i 820, loss 0.024577965959906578\n",
"i 830, loss 0.02272413671016693\n",
"i 840, loss 0.08996551483869553\n",
"i 850, loss 0.04127046465873718\n",
"i 860, loss 0.11011070758104324\n",
"i 870, loss 0.02712332084774971\n",
"i 880, loss 0.016196543350815773\n",
"i 890, loss 0.08141487091779709\n",
"i 900, loss 0.01947798579931259\n",
"i 910, loss 0.0375148206949234\n",
"i 920, loss 0.057334210723638535\n",
"i 930, loss 0.02565215900540352\n",
"i 940, loss 0.03363438695669174\n",
"i 950, loss 0.02088804915547371\n",
"i 960, loss 0.019387297332286835\n",
"i 970, loss 0.024087587371468544\n",
"i 980, loss 0.018009129911661148\n",
"i 990, loss 0.01608518697321415\n"
]
}
],
"source": [
"class Sequence(nn.Module):\n",
" def __init__(self):\n",
" super(Sequence,self).__init__()\n",
" self.lstm1 = nn.RNN(1,64,1)\n",
" self.lstm2 = nn.RNN(64,1,1)\n",
" self.p = 0.5\n",
" \n",
" def forward(self,seq, hc = None):\n",
" out = []\n",
" if hc == None:\n",
" hc1, hc2 = None, None\n",
" else:\n",
" hc1, hc2 = hc\n",
" X_in = torch.unsqueeze(seq[0],0)\n",
" for X in seq.chunk(seq.size(0),dim=0):\n",
" if np.random.rand()>self.p:\n",
" X_in = X\n",
" tmp, hc1 = self.lstm1(X_in,hc1)\n",
" X_in, hc2 = self.lstm2(tmp,hc2)\n",
" out.append(X_in)\n",
" return torch.stack(out).squeeze(1),(hc1,hc2)\n",
"\n",
"\n",
"seq = Sequence() \n",
"criterion = nn.MSELoss()\n",
"optimizer = optim.Adam(seq.parameters(), lr=0.001)\n",
"for i in range(1000):\n",
" data = np.sin(np.linspace(0,10,100)+2*np.pi*np.random.rand())\n",
" xs = data[:-1]\n",
" ys = data[1:]\n",
" X = Variable(torch.Tensor(xs).view(-1,1,1))\n",
" y = Variable(torch.Tensor(ys))\n",
" if i%100==0:\n",
" seq.p = min(seq.p+0.1,0.8)\n",
" optimizer.zero_grad()\n",
" lstm_out,_ = seq(X)\n",
" loss = criterion(lstm_out[20:].view(-1),y[20:])\n",
" loss.backward()\n",
" optimizer.step()\n",
" if i%10 == 0:\n",
" print(\"i {}, loss {}\".format(i,loss.data.numpy()[0])) "
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x116d4a940>"
]
},
"execution_count": 83,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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XnsNMa6aS9gyjEPO9eWzvbMdZI2dVcm2dwMGSu4SzRs7Cjs4OHOvpv4d6QQ9O6GCuPaf6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3TNlLYsNVw8ipWA7AAtiA4RF88C0vcKDxztneFc3mlFubKasINjed024xICqy5cc3bSla/U1R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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1169c6160>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"y = np.sin(np.linspace(0,100,1000)+2*np.pi*np.random.rand())\n",
"X = Variable(torch.Tensor(y))[:100].view(-1,1,1)\n",
"lstm_out,hc = seq(X)\n",
"preds = []\n",
"pred = lstm_out[-1].view(1,1,1)\n",
"for i in range(1000):\n",
" pred,hc = seq(pred,hc)\n",
" preds.append(pred.data.numpy().ravel()[0])\n",
"\n",
"plt.figure(figsize=[10,8])\n",
"xs = np.arange(lstm_out.size(0))\n",
"plt.plot(xs,lstm_out.data.numpy().ravel())\n",
"xs = np.arange(1000)+len(xs)\n",
"plt.plot(xs,preds)\n",
"plt.plot(y)\n",
"plt.legend(['seeding','RNN','real'])\n",
"plt.title('RNN')"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"i 0, loss 0.98842853307724\n",
"i 10, loss 0.5231029391288757\n",
"i 20, loss 0.3500158190727234\n",
"i 30, loss 0.5045902132987976\n",
"i 40, loss 0.21809324622154236\n",
"i 50, loss 0.09845162183046341\n",
"i 60, loss 0.0725177749991417\n",
"i 70, loss 0.060021981596946716\n",
"i 80, loss 0.02654363587498665\n",
"i 90, loss 0.016544466838240623\n",
"i 100, loss 0.03895098343491554\n",
"i 110, loss 0.03213312849402428\n",
"i 120, loss 0.03785308077931404\n",
"i 130, loss 0.038659702986478806\n",
"i 140, loss 0.02034085802733898\n",
"i 150, loss 0.054655447602272034\n",
"i 160, loss 0.01437431015074253\n",
"i 170, loss 0.011392463929951191\n",
"i 180, loss 0.013599799945950508\n",
"i 190, loss 0.015123248100280762\n",
"i 200, loss 0.01922178454697132\n",
"i 210, loss 0.014567064121365547\n",
"i 220, loss 0.02329767867922783\n",
"i 230, loss 0.014206171035766602\n",
"i 240, loss 0.037089500576257706\n",
"i 250, loss 0.03275023400783539\n",
"i 260, loss 0.013436095789074898\n",
"i 270, loss 0.0173764880746603\n",
"i 280, loss 0.014336385764181614\n",
"i 290, loss 0.012342079542577267\n",
"i 300, loss 0.0589757077395916\n",
"i 310, loss 0.08075101673603058\n",
"i 320, loss 0.02480134926736355\n",
"i 330, loss 0.03839978575706482\n",
"i 340, loss 0.1822817027568817\n",
"i 350, loss 0.048320695757865906\n",
"i 360, loss 0.04547698050737381\n",
"i 370, loss 0.02001229114830494\n",
"i 380, loss 0.0923515185713768\n",
"i 390, loss 0.023433048278093338\n",
"i 400, loss 0.033940769731998444\n",
"i 410, loss 0.06573542207479477\n",
"i 420, loss 0.014144481159746647\n",
"i 430, loss 0.015547601506114006\n",
"i 440, loss 0.012399574741721153\n",
"i 450, loss 0.009209313429892063\n",
"i 460, loss 0.016084376722574234\n",
"i 470, loss 0.01266129408031702\n",
"i 480, loss 0.014221666380763054\n",
"i 490, loss 0.008386229164898396\n",
"i 500, loss 0.010501346550881863\n",
"i 510, loss 0.018288929015398026\n",
"i 520, loss 0.023461926728487015\n",
"i 530, loss 0.00942966341972351\n",
"i 540, loss 0.01236293651163578\n",
"i 550, loss 0.008780112490057945\n",
"i 560, loss 0.00941389985382557\n",
"i 570, loss 0.008494526147842407\n",
"i 580, loss 0.010447502136230469\n",
"i 590, loss 0.017015891149640083\n",
"i 600, loss 0.010358840227127075\n",
"i 610, loss 0.020872391760349274\n",
"i 620, loss 0.022148368880152702\n",
"i 630, loss 0.013420026749372482\n",
"i 640, loss 0.017854489386081696\n",
"i 650, loss 0.023286372423171997\n",
"i 660, loss 0.00854606181383133\n",
"i 670, loss 0.010472359135746956\n",
"i 680, loss 0.016250060871243477\n",
"i 690, loss 0.027073999866843224\n",
"i 700, loss 0.022784912958741188\n",
"i 710, loss 0.037276946008205414\n",
"i 720, loss 0.014085894450545311\n",
"i 730, loss 0.019605474546551704\n",
"i 740, loss 0.008127200417220592\n",
"i 750, loss 0.019056443125009537\n",
"i 760, loss 0.017494957894086838\n",
"i 770, loss 0.022850213572382927\n",
"i 780, loss 0.0216220673173666\n",
"i 790, loss 0.010563560761511326\n",
"i 800, loss 0.031756334006786346\n",
"i 810, loss 0.04832994565367699\n",
"i 820, loss 0.05553584173321724\n",
"i 830, loss 0.01970299333333969\n",
"i 840, loss 0.03776608407497406\n",
"i 850, loss 0.008007382974028587\n",
"i 860, loss 0.015432427637279034\n",
"i 870, loss 0.019852960482239723\n",
"i 880, loss 0.019164064899086952\n",
"i 890, loss 0.013815706595778465\n",
"i 900, loss 0.008175389841198921\n",
"i 910, loss 0.017038563266396523\n",
"i 920, loss 0.010479862801730633\n",
"i 930, loss 0.020579177886247635\n",
"i 940, loss 0.021378884091973305\n",
"i 950, loss 0.010450468398630619\n",
"i 960, loss 0.010279550217092037\n",
"i 970, loss 0.009215373545885086\n",
"i 980, loss 0.010359606705605984\n",
"i 990, loss 0.008552704006433487\n"
]
}
],
"source": [
"class Sequence(nn.Module):\n",
" def __init__(self):\n",
" super(Sequence,self).__init__()\n",
" self.lstm1 = nn.GRU(1,64,1)\n",
" self.lstm2 = nn.GRU(64,1,1)\n",
" self.p = 0.5\n",
" \n",
" def forward(self,seq, hc = None):\n",
" out = []\n",
" if hc == None:\n",
" hc1, hc2 = None, None\n",
" else:\n",
" hc1, hc2 = hc\n",
" X_in = torch.unsqueeze(seq[0],0)\n",
" for X in seq.chunk(seq.size(0),dim=0):\n",
" if np.random.rand()>self.p:\n",
" X_in = X\n",
" tmp, hc1 = self.lstm1(X_in,hc1)\n",
" X_in, hc2 = self.lstm2(tmp,hc2)\n",
" out.append(X_in)\n",
" return torch.stack(out).squeeze(1),(hc1,hc2)\n",
"\n",
"\n",
"seq = Sequence() \n",
"criterion = nn.MSELoss()\n",
"optimizer = optim.Adam(seq.parameters(), lr=0.001)\n",
"for i in range(1000):\n",
" data = np.sin(np.linspace(0,10,100)+2*np.pi*np.random.rand())\n",
" xs = data[:-1]\n",
" ys = data[1:]\n",
" X = Variable(torch.Tensor(xs).view(-1,1,1))\n",
" y = Variable(torch.Tensor(ys))\n",
" if i%100==0:\n",
" seq.p = min(seq.p+0.1,0.8)\n",
" optimizer.zero_grad()\n",
" lstm_out,_ = seq(X)\n",
" loss = criterion(lstm_out[20:].view(-1),y[20:])\n",
" loss.backward()\n",
" optimizer.step()\n",
" if i%10 == 0:\n",
" print(\"i {}, loss {}\".format(i,loss.data.numpy()[0])) "
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x115e95f60>"
]
},
"execution_count": 93,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Xfxf4MVz7DImf2E1f5seM6xoufi2c+xq49hliP7Z2LaFxVrIj2H0YLn0dXPuM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\nZPPcAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1167916a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"y = np.sin(np.linspace(0,100,1000)+2*np.pi*np.random.rand())\n",
"X = Variable(torch.Tensor(y))[:100].view(-1,1,1)\n",
"lstm_out,hc = seq(X)\n",
"preds = []\n",
"pred = lstm_out[-1].view(1,1,1)\n",
"for i in range(1000):\n",
" pred,hc = seq(pred,hc)\n",
" preds.append(pred.data.numpy().ravel()[0])\n",
"\n",
"plt.figure(figsize=[10,8])\n",
"xs = np.arange(lstm_out.size(0))\n",
"plt.plot(xs,lstm_out.data.numpy().ravel())\n",
"xs = np.arange(1000)+len(xs)\n",
"plt.plot(xs,preds)\n",
"plt.plot(y)\n",
"plt.legend(['seeding','GRU','real'])\n",
"plt.title('GRU')"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [conda env:tensorflow]",
"language": "python",
"name": "conda-env-tensorflow-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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