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@izmailovpavel
Last active November 22, 2017 23:25
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Small SGHMC demo"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import torch\n",
"from torch.autograd import Variable\n",
"import torch.optim as optim\n",
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Suppose we want to sample from a Normal Distribution. We need to specify the log-density function."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class NomalDist:\n",
" def __init__(self, mu, sigma):\n",
" self.d = mu.size\n",
" sigma_cho = np.linalg.cholesky(sigma)\n",
" self.mu = Variable(torch.from_numpy(mu).float())\n",
" self.sigma = Variable(torch.from_numpy(sigma).float())\n",
" self.sigma_inv = torch.inverse(self.sigma)\n",
" self.sigma_cho = Variable(torch.from_numpy(sigma_cho).float())\n",
" \n",
" def loss(self, x):\n",
" return torch.matmul(torch.transpose(x - self.mu[:, None], 0, 1), \n",
" torch.matmul(self.sigma_inv, (x - self.mu[:, None])))\n",
" \n",
" def sample(self, n_samples):\n",
" z = Variable(torch.randn((n_samples, self.d)).float())\n",
" samples = torch.transpose(torch.matmul(self.sigma_cho, torch.transpose(z, 0, 1)), 0, 1)\n",
" samples += self.mu[None, :] \n",
" return samples.data.numpy()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x10b31ef60>]"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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2vFi0mgGAJMIkAAAAYPFNsy3KN9soT63mZhcl4dHKivT++64KKWmHS9re7t2r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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10afd08d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(20, 10))\n",
"mu = np.zeros([2], dtype=float)\n",
"sigma = np.array([[10, 9.9], [9.9, 10]])\n",
"dist = NomalDist(mu, sigma)\n",
"original_samples = dist.sample(1000)\n",
"plt.plot(original_samples[:, 0], original_samples[:, 1], 'ro')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The SGHMC sampler"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class SGHMC:\n",
" \n",
" def __init__(self, var, alpha, eta, log_density):\n",
" \"\"\"\n",
" Stochastic Gradient Monte Carlo sampler.\n",
" \n",
" Args:\n",
" var: `Variable` corresponding to the variable that is sampled\n",
" alpha: momentum parameter\n",
" eta: learning rate parameter\n",
" log_density: function computing log_density for a given sample\n",
" and batch of data\n",
" \"\"\"\n",
" self.var = var\n",
" self.alpha = alpha\n",
" self.eta = eta\n",
" self.log_density = log_density\n",
" self.optimizer = optim.SGD([self.var], lr=1, momentum=(1 - self.alpha))\n",
" \n",
" def _noise(self):\n",
" std = np.sqrt(2 * self.alpha * self.eta)\n",
" n = Variable(torch.normal(0, std= std * torch.ones(self.var.size())))\n",
" return torch.sum(n * self.var)\n",
" \n",
" def sample(self):\n",
" loss = self.log_density(self.var) * self.eta\n",
" loss += self._noise()\n",
" loss.backward()\n",
" self.optimizer.step()\n",
" self.var.grad.data.zero_()\n",
" return self.var"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"x = torch.from_numpy(np.array([[-10], [0]])).float()\n",
"x_v = Variable(x, requires_grad=True)\n",
"mu = np.zeros([2], dtype=float)\n",
"sigma = np.array([[10, 9.9], [9.9, 10]])\n",
"dist = NomalDist(mu, sigma)\n",
"# sghmc = SGHMC(x_v, alpha=1., eta=5e-3, log_density=dist.loss)\n",
"sghmc = SGHMC(x_v, alpha=0.01, eta=5e-3, log_density=dist.loss)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0\n",
"1000\n",
"2000\n",
"3000\n",
"4000\n",
"5000\n",
"6000\n",
"7000\n",
"8000\n",
"9000\n"
]
}
],
"source": [
"samples = []\n",
"for epoch in range(10000):\n",
" w_sample = sghmc.sample()\n",
" samples.append(np.copy(w_sample.data.numpy()).T)\n",
" if not(epoch % 1000):\n",
" print(epoch)\n",
" \n",
"samples = np.vstack(samples)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x10d1deb70>]"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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EEh6xGLRymqAOTckqrQ0VEn6N48UGkjFLtXMl74o/xcGhFA2mzLMnl1GsNhCG\nUKSJ0ERemUkUBLA8fopYZZzQ+hyrd1Eliocl5gV4iTiplFt3vVJnfTxPODrGCbuMom1mWapIa3Sc\n297dwkNfaF/Iv5LIdWepDeC+01o7fJHXPgCsP3N7C/DQmXsREREREZHXp3zeVSTNkiuvZ9e3bibz\n82eKlSpb+MO9v8Yv83X+fvJ/or/cCkEbE7FWhkutTI7D4cNuBpDvu1axdNoFSJWxMt7YJLfHc0zU\nW3ly5A284aaVHDsG6Si0Rt1ObcPDEUyimUoZyqdd+FOvu1lHJ2stJINxhkoZmko1ylWfqKlhUg3U\njsKj1RuxQLI2zvLYICV/FUNhhgAD1hKGBt93a0t4Nb5w11/z0A9u5qvDWzlW6ybEYLA0NLi1WwuZ\nTISXx9cRxOtMlSw+AYm4xXYu4/FnU+RyqiYSWQqWQpvb3cDnrCuResoY02KMWWatPbnYCxMRERER\nEZkX8Th8/esuRWluhk2b6Nv7FjJtPvG4624bmexgoHMbf3S8i7GggdWp09h0gsGJBG0r4qxqc+ed\nPu3a21pboVyGvbtrNNbGaE9NYRobaaqOkykPknumm+5VMeJxFxpZ64ZThyEcOwbJpAuSpquJEg0+\nQa2RZL2CqdeZqCXBJGDMo70dCHxGJuLUbZp0tELSVAjwcbu6Wep1Q73uvupgpYU9xXX0N76BOzuH\nODU5znePrqYcRqlW3U/S2gq33QZPPAHlWoSGJqjXo5wMu1lmoK3NtakpTBJZfAsRJlngG8YYC/yF\ntfYz57y+Ajg263n/mWMKk0RERERE5OIuN8B6qZle7969sH8/uYl19Jle8v3L6Nl7kB/X4jQ2Vxn8\nwmFo7yDV1cgNb26nsjrCxpGX2JtfwdFiJ35DHN+LMXkKxschEoHjx2Fy0j2enLCUaKK9ucYLpzsA\niEYtowWDf8pVMtXr7rZypQuSJiddNVIYupu1LpgyJsKqVRGGh1OYwIVMEc+9ViGNb0tEvTojQRNu\ngkoA+BgsxpsJpryGKH+V28oUccYrcajXWd84wMnISooll6e1tcEzz7j31GpuHem0q2w6dQruvtv9\nqUVk8S1EmPR2a+1xY0wn8Lgx5gVr7ZNXehFjzK8Dvw7Q09NztdcoIiIiIiLXkrkMsF5KZq+3UCBH\nll0Tv0omUaYrOM5PSjfyTLCFzlRANt3PqvI+Cg0/w56X2xgdbcHaN1NOwlQVbBkKh1wlUTTqLjk5\n6XYom5je7aPdAAAgAElEQVSA1tg4kYjHu9cewWCxQKEUd+1rXatfaYdbt84FNZOTrrLp9GkolaZD\nJBfmNDa6n7apyX2NoSEXNFkLpXKEeCRKxoxgQ3etjC0zVk+QjAbYmP/KdX7xV6JMHe+iffh56sUS\ntVQL4Zp11JpifOMb8O53u+t///uwfLl7z+Sk+36JhKtuSiRg2bJF+wuKyCzzHiZZa4+fuR8yxjwK\n3A7MDpOOA6tmPV955ti51/kM8BlwA7jnbcEiIiIiIrL09fW5FGV6gPX0/VLtg5q93rEx+qr/K5lk\nBRON8uPaVupxw/ogz4hdRVtLwMhEC09+O4QOFxqNjblwJQzd5dJpl6Gl0zA6Cl1dcMcd7rUXH+nn\nuYE2KnWf5kSZYjlBZXSKB5b9JY+N/xyZNp/mm9dSTHRRKMCdd0KxCM895wZ3V6uu4ikIXEBUmQqw\n9QnS/hTjfgsmEiGZjBAEsGYZNBSmSMYtRCNERidh0pJsSRB4bj1NTXDffdDX10qh8LZzZ45zww3Q\n0uJ+mqNH3SynZcvcWlavdsGVMe7c7dsX9K8mIhfhzefFjTEpY0x6+jHws8C+c057DPiocbYBRc1L\nEhERERGRS8rnXW/UbM3NS7cP6sx6c8957Dz8UR4+9i5+VFjPD4dvJBZMsTX1PHd2PMf61hEyySme\nPn0DaTPGpk2uGigIoL3dBS/r1rmQJQhcFc/YGKxY4YKmQgEia3t4YNM/kKFAf7GJTKmfHdX/m3tu\nPcSO9+xxx791gEx1gB074N57XXvc5s0QlKtUiyXq1Topr0QkKGNqNQrlJFUTI0aNLu8U3c0lNm6E\neiTJWHolG7tHWW4GqJkob90GN26K0drqQq5PftLle729bn2FwsxaCwX4+MdnHm/c6L5PEMDb3+5+\nupERN0tpqRadiVyP5rsyqQt41Bgz/Vl/a639mjHm3wJYa/8c+Cfgg8DLQAn43+Z5TSIiIiIicq3r\n6XHpw+wyl2LRHV+KenrIPT3Frqe2kvGLdJphDtdWgTFsThyksT5KoWMT3fFxACbLEWrRRvJ5V9nT\n0OCqkMbGYNs22LPHVets2OBCmn37ZkZHbf9Ehix3cs/0PKlDhyC7AtavJ8sw2WXDM79ddifggpq+\nhwbYH5Y5FW1mWXqCcs0nKFWYJEMt9BmcTNEQqVK2Mcb6A954O7z5zWBMgkrlzWzogd4tM2u5886z\nx1hls2c+Z9aYq+3b3fENG2aOv+td7rtVKvCBDyz9UVgi1yPjNlG7tmzdutXu3r17sZchIiIiIiKL\nZfYMouZmFyQVCku3fCWXY+f7vs+LlR6O2ZW8OLmCySBOM0WiUUNDvE7dT9DdNMmKxAjfPLqeCRpJ\nNPhs3eqqk4xxX/WWW67wq37sY64nzpvVmBKGbiu4z3525tjOneReTND7tV+jNTHFyFSCE6MNxP06\nLakaJyaaMMDKdJG3tL6I//afmd+f+1obsC7yOmCMecZau/Vy581rm5uIiIiIiMi8mC5zyWRcKJLJ\nLJ0gKZeDnTtdiLNzp3uezbLX3MK+2kaGy2kSfo32VJnTfienwgztG9qwnkduoIsvHb6JSdNIJOYT\nibi3L1/uhmMPDsKTT0IqdQXr6elxYdts51Zx5XLwpS+R3f953pf4LqZeZaIax2AJQsNgKU3MD2hr\nKOERsL6nSibjsp55MR0WFgpnD1jP5ebpA0XkSizEbm4iIiIiIiJXXza7NMKj2aZDkHodjh+Hp56C\nRx8l99H/wt7ymxkLooTGJxmpUQt9fCzRiGHKa+R4uZE6gIF41FUigRtIPTTk5gmtWzdTiDV787pL\nFvH09rqT4ewqrulp1tNrjsXAWu5t/QK7jnsMeduoxRKUqz71wJBK1JisRqkAbNo0vyOqrrUB6yLX\nGYVJIiIiIiIiV0tfnwuSnnvO7WXf0UHuZAe7/qBMzYsxXolhMZSqUQwhca9GU0uEatXt2lYsum40\n33dDqMtlaG2FEyfc7KSTJ93cpIbSMPGXjvDIR4/DtuPsOv5hMusyZxXxvBI0vZigb/8vkj8U0BMb\noDc7SXZdA3zqUy55Ghx0Yc2tt8IPf0g2dZAdy/+Oxw9sY9LGCP0oERNAEBISYcI28ugPmkkk3Fvm\nRT7vKpJmW8oD1kWuMwqTRERERERErpZ83lUkJRIuHQL6qh+kEviMlX0iMQ9bD8GGBPi0dkZYsyHO\nwIArDAoCsNa91RjX2rZ5Mxw44PKesTEYOjQBh09iK4bdwQZ+dLgDYgex9gbKKzKvDOvu6wNefJFd\n/36ITFOalVsshcE4u37QyV2lo+zzbyb/VAM9J59my5ti7Ku/gXz5I/QUXyQ9foLJII41HliLn/Ao\nVtMEQUiUGv6BA4wlWjieSJHLNV/9YqFrbcC6yHVGYZKIiIiIiMjV0tPjWts6OgDITazli0Nv40h1\nOYEFYj4NzT6NjS4bKU5FaGiAkRE3EzsWDQhrISODlqZElVXLfdrbk/T0QDzuspXgsSco2SEG4t1E\nIpCf6iBZmuD4nkHCCRe+WOuCqD1/FxDaZqKmRm0qIDpxmgmvmf9rz13cufkUKzvKvDS4gc999ya2\nrT/NDV0FXji+ma8VevEMxCIh1RrUpkI8QjwMERMS9QPewhPE8g30PfQWsg91X93f8XKteSKyqBQm\niYiIiIiIXC29vfDoo1AskvNvZdfRe7BBSCXwSZoy5ZqHFzdMTUXJZGDtWhf6NDZCcaRGE5N0ZSYY\nrjRRDTze7n2fe+/qgQ0bZrKV4/3Uo834xvA7K/+evuF3UphK0lJ/gfJb3vDKoG7fh2P/7BNPxjhY\n8N2bi4bD1RWUwji5IR+D5Ug1zVQt4If5FQxMpDl0IkHZxohEAAtpbxIT1inQjAEydpRNiUN0JSYI\nK5PknzoJXOUwaXrA+uxBUNu3a16SyBKhMElERERERORqyWbhgQfgwQfpy7+JFlOkkQmiJsSL+vhh\nQKRcpqszweatSTZsgL17XSVReajElIlSM3E2dpwmEy/z0M99GfZl4J6dM9lKvZuexCDbl32dbONh\nAHYduQdMQHPczVlKJM5kMSePUxg1NKY9qoFPrX6C/FAnKxNjrGmZIrSQLzTS3lxjykRY4Q9wzKyg\nJV6hamKs8fMMVFoZCRsBiFMh6VXYM76eRNQSDybpsUeBeRietBQHrIsIoDBJRERERETksi65W9q5\n7rkHNmxg7y9GOXmsxtFwOe2NJYbLaerWx3oem2MvEonczJYtrpDJGEiaCqmGGolIwMr0GOvbRs4a\nOp0lR5Y+6Pg8DA9DZRmkWsn6+9mR/gv62n6NfP85RTwfX8Gufz8E1GluCqimGkkzwaa206xprkO5\nTD4RZ7RlNauWNXDDHT/Dsf9+mJOjZUZrPtGwQtSrk2aCGhE8QlLeFPFwij3jN7AxmWf7tqML9WcQ\nkSVCYZKIiIiIiFz3LhUW5XJufE8mwwV3S7vQ+7dsyXI4AePeEIkGn4ZYABVDPTBM1uM8e6yDO98B\n3/qWG7D9k59A2SToiowSEmXfqU7+z7d9f2bo9OxFvOtd8I1vuK3dqlVoaSG7xZL9xGo4J+DK3rOB\nHUDfnx4nfzxCz4oED/zCKI99M03h1CmaO5Ks2NpN/vkG3rjczW1asbmF/BNVNqQHyBc6OFltxSNk\nGQMs84eIElCkCRN47Nj0T2Tv+zcL+rcSkcVnrLWLvYYrtnXrVrt79+7FXoaIiIiIiLwOzM5pZs96\n3rHDBT3/8T/C0NDMDmvGuF3VMhn4d//O7bT2mc9AS4u7TU3Bd78Ly5fD3u+OEzU1KmGMiWqUauCz\ntmmYRAxuel83Tz8N73kP9PfD95+sQ6VCS7xMe2OJX+jZR/5EhJ6uMr3jnyPbkodbb4XubhgYgD17\nXJh0990u/YI5l0/NDr/icVfo9NJL7rtt2wY3Nhznc3/jUZ6sMzzViPU80vEa74t8m5WVQxQS3WRu\naGXnZ1erFU3kdcQY84y1dutlz1OYJCIiIiIi15Nzq4gGBiA2dgrv0EFODVnK8WYK6VX4zWne9jb4\n0pegqckFLdOsdYHS3XfDd77jAqRkcub1/fvd845UiZdfsoTGo1KPYEzI5uYT1Nu7SbYmqdXcjCNj\nXIDV1VRicmiSofEkH+h6lhsncxRpolBKsGP535JNH4a3vtUFSmFILmfpu+VB8ntH6Dn8HXo3v0j2\nxtJZiViO7JyqrqaDtMFBqNVgctJlVZOnJimcmKIhnKS5OeSWtzVS8DvOqswSkdeHuYZJanMTERER\nEZFrxxUNL7rw22e3rA0Pwz8+WmV1cJpovA0/5pMsT9E88QLj5g3ceWeakydd4NPR4a4RhjA6Cuk0\nfOQj8NOfQmenC4SCAGqDI5ymysBAkuFkSMWkSXhVsJZ4NOR0YgW2EmPwCKxYAQcPut3cajUoFBoI\nggbSDTV+eqqLaLIHLxahTJ0/PfEvuG/FY0SfKRN5SxsH81E++9I7aGmHzODznAw6+WRuPb+VfIqb\nu+P4dZ/n/uwH/NdSltZW91nDw/Cf/zPcdx/ceCP81V+5dddqcPgwnD7tbkePws03u8xq1ZtTjI2l\n2L+/nRMn4M71sP3KfnYReZ1RmCQiIiIiIkvbdIC0d69LPLZsgRtuuPDwosvo63NBUioFL7/sqnDs\n1BQnaOdnVx+hMzWJ71kKo1AJnufzn7+dJ55w561YAW97m9sprV53Q65vuAFuusktJZPBnXj4B5xM\nrKd/bB1TlRppM4FNpAiDKLEmWLkOSiWIRt37jx93YVWtEhANK9galKsBA7RyNLocbAQbCXipvIYv\nDg3DZAq81XznyBqmOnsYfhk43AbxOFP1KP/hW+/ljjVHwVq+c2AZU6tnWvSsdVVUv/d7cMcdrqpq\nuurKGNem98Y3uqqkjRuhtdX9bskkxGJw552wc+f8/JlF5NqhMElERERERJau2aVEhYJLPPbtcwlI\nV5c7p6/vsmHSdB718MOuighcONLVBd3t+3h6dCOJSB0zOU5hoMzBsXZO1ho4+nINE40CbqbQoUMu\nbPnd3535yN5et0SA5v3PUzQZTlTaeOvKY+wf7iSoW0qVKr4fZXTUXaepCW6/HXzfVUjVxkoUj42T\nMacpRFuYrEVJMcm7qt/EtrYx4rWTbizwW7WHqLWtov72X+C55m10bUgBEE6OY8vD1KMJBiYb+cCN\nLxGMTfCjEyvo2TgTJEUi7vHwMPzyL8PIiAuOWltdSOb77md+xztc9ZUxZ8+R2r79qv+FReQapDBJ\nRERERESWrulSokzGDSlqbnYJyFe/6o41NZ0pCXKB0UMPwVNPueBk2zbXzgUzeVRnJxw54trR3vMe\nWL8eCod93pd6nkwwSv5wQE+yQJIUL1dWUKnUscZStx4eIU3JCn7F47HHUmzY4AKlbNYVR/X1Qf6E\nT8/yGmunRsl2D1ILI/gm4NCpNIGXolJxgU657JZ+773wW78F+54PmSw3UfY90pEyddOAsRZbDyiO\nwVhjkl9vfphMMgV//d8gm2XzzlkVUVt74Ac/oBBmeFP3GG9J7YNqgdvf+2EKsVd+IsC9Z9Uq2LQJ\n/vW/dr9NteqqjwqFmeHj0z//dEfh9u1qbRMRR2GSiIiIiIgsXfm8K90BFySdPu22VgtDWL3alcyM\njvLIHx3h/r9Yw9CQa2FraYGvfx3++Z9n2rc2b3YhUxi6Spz+fmhvh0LnRnbY/0L21LfgRtcHtuHE\nI5RpwAI16wEeIR4jUx6Zo0MEPVV+8zczrFs3M7rJtX99CwoFdv7kQxSmkgTW8MyJ5fgeGL9OV6zI\nv+r8HoVYFxnWAN2MjEAjk1RNkioxxkKPLYmD+LUp+s1qesxJtjf8I9nkEXjggVcSnbMqojq6KG55\nO4V9x9me+QeXHm3fTi/dM+dcoMLorCDsAqGRwiMRuRDt5iYiIiIiIkvXzp0z5TcDA/DFL7qyooYG\nNx26XCa3/Of4yJ7fZsAuo1qFSsUNlDbGDbY2xrVwjY2551u3uscnTsCv/uqZGd7k4KMfdZ85Okr3\nsR8xbhup2gh1IoAF3HZuSb9GS6JMekUzd9zhRjmdPg3vfS/c994XyT72B+Tqb+T+H99NbqCTU6VG\nWtIB4xOGxliVD206QKd/mv6RFPHb3sh397eTf7EEtTprzVFMxMNGIvz18v9AduppN/n7Qx+64LDx\nucwjf40zy0XkOqLd3ERERERE5No3u/yms9P1YpVKLh1KJuHWW+l7/v3UpkIqxr00vasauEqc6eHS\nYQiFkYDvf7PCivhp3nPjSXb2Js4kK1kX2BQK8OSTtAxNMVVOUCF6ZiHmzL0lsB5DkynGT8BXvuIG\nc7e2wp49sKu0gR13/R7ZfX/LqmdP0N/QwkgQIaxXySTqJGIBL5zuIN4VEkvUePybhkzmNM1BmTFS\nHLMrWBscYZU9QjbYA7fdBp/4xEXTn+k2u1cSo0+dnxi9co6IyFXiLfYCRERERERELmq6DyuTcX1p\nq1e7YUcf/rDbjqy7m/ypBjpaqtTr7i3T4RHMtLWNjsJUKSSohXg24GQlw/HTSXL3f94FMeACmEIB\nYjHuTP2Y1ug4Eep4BK8sxzfuogZLtQoDJ0Ne2DvF6PMnOPrcOLu/V+Y3/3QDud6dVH7mPXxw+zI2\nbfZpoAyeIe4HDE2mOFhoYffpNRQnfDfDyUTZmOxnvX+YSFjjFj8HbW2XDJJeMT2kvFBwLYHTu9xN\nfy8RkatMlUkiIiIiIrK0zS6tmR2cnBkC1BM9QWXLRvZ+z+1GBi5AmhaPnwmVAndfsxGSpkpqYpA/\n+d7NrLjrGfK3rKTnliy9d/0e2W/9V+498hf0mzRV7yaqYRRjYMw0Y7DUQw9jwKuV8WxIqRrlUK2L\nlsg47QMHGDrVya6PjNCwYSWT6XZaWuBomGC0lGBwspGm2BQdDXFKlQgd/ghHat34xhKYCH7SY6SW\npnfzi3MvKZo9pBxm7uewy52IyKuhMElERERERBbGFQ7vmX16LOaqjSqVLD2pP6S30ke2fzf09ND7\nwBZ2PZahp8eNVZocD/CAEIvBUK8brPWwWCKeJWZqxOqTvDSxnCP1N7Otvod1z/+YkYbb2HVoAzvu\n+j/I9v8Onzj8//Hpk3fzzfG30mZGGI2WaUrWOTDSScVGCa2HT4gFsJZKzeNgbRmBF+VAf4rVhZcZ\n6Iiz96U0k+VGjK0T8wImqnF2n+imwatiSNARLVKzPsdr7ayOD/LezG43K6nnl+b2u84eUj6tudkd\nFxGZBwqTRERERERk/k1XFGUyZ7di7dhxwaHSn/40fPMrFdrCIVb6J9hfWgfpNO/82QSFWDe7Cvdx\n883w5S/D8YdddpJKQb1SJ8Uk0WiEqXqUmo0QBIbpAdqVMEKl0ohHkmKQIhOZoBJN89OJFcSeLtJw\nUwf//Y+G+aM3r4MVG+l+oZMtJycZnUhRLMfxYrC8aZzARMgX0kyRACwRakyQokSSxnCCY4U0Ryfb\niRVrBAF4vgHrUwsNHiFBGGHSj2HCgM7EOK314wyHrWxsOMZ96YchGnVh21z09MwMKZ9WLLrjIiLz\nQGGSiIiIiIjMvzm2Yj3yCDz4IBzP1zClMlORNM/VbiYdqZAoj/GNfzQ0d8Q5dgwefhgiEdfaduIE\nVKuQiZZIRuoUJlO4+iQzaxEzQ7RDfMZsmolakvGxBrptiWV2lNFR+PaLK/hd8y95Mr+GSt0nxCPu\n1+mInKbFK1OineGxBBlGGSNFmSR1YgDuujRRshW8ikeyViEZGSPixajYGIGJUA/B81z4tSxTYeJk\ngjDaRac5xY6Gh8gmj8ADD8y9RW32kPIzrX8UCrB9+6v9a4mIXJLCJBERERERmX9zaMXK5VyQZAyE\n5RrVIEYZ41rV8LHGY2jIUJxyWQm4AMkYNwsJYCyIk4xOXCBI4sxze9bxkAgjYTOFYpqXi23cmIFN\nnRP8+GgXLxXaiJsqqWCcup2i6DfQlRqgNppknA4McQwhPhXqJM9c0V2/TgIICUKPBkLqdaiFFkwI\nxs1cSiSgdXkDYeixNf0CO9Y+SvaWW6H3wSubdTQ9pHx2C+H27ZqXJCLzRmGSiIiIiIjMvzm0YvX1\nQa0G7e1gg5BoxKMhWmOiGqUWeJyuNxIElrGxsy89HSSBpWojnK41cX6Q5F4/nznzik8Vj/37YT+b\nzrwWECXCEA2EeFgML08tI0aZNEVqxJkkRXhWSDX92N08A3G/xkQ1hcWlXp5xXWzNzTA8DJ09CXb8\n8S1ks7dc6a86Y67DukVErgKFSSIiIiIiMv/m0IqVz0NHh3spEQup1d3xegB1G3XxjIUguPjHGKBs\n469ykdMBlIcLg3xq+MxujwswVEgSo8YqjlOkiQE6qeOfdx2Dh2fq1AIf34QE1nNX9WHZMkinYePG\nC46NmnGFQ8tFRBaCt9gLEBERERGR68B0K1Ym4wKSn/wExsZcUJLLAS4rSaVcblKsp/BtjXLNNZJ1\nJot41lK/5P+HW5KRGuFV+WeOmXU791jIOM0cYg1DtFEnesH3WyAdrxH1QxJejSZvkhX+IB3xIuOF\nGtXqHIKkXbtc6DZ7aPmZ30tEZLGoMklERERERK7cq6mYmX790CFYvdpVKM3a1W3Llix/+ZdQLsNU\nxadMM2BpjpZIxCCTgJFxQ602u7VtNtdaZi/Y4nb1hEQBS5XYmdlMF2MoVX1WpAqcLKep41GPJ1mR\nGGWqOsHd23yy2e6Lv32OQ8tFRBaawiQREREREbky0xUzmcwrFTO5+z9P36pO8pVu4nEX9lSrMzkT\nnMmevhTQE/swvbceJusNnRWQfGv/ciojcaamGpiu7AHDaC3FaKERY8xFQiTOnGko12e3pV2pubxv\n9vDu2ZVL57/XYKkGPgfHOgFL3AQYL+DQeAcd8TF6bR9w38U/ag5Dy8+iljgRWSAKk0RERERE5Mqc\nUzHzyIm38uBTb2fi+1H+f/buPDiu87zz/fc9pzfsaO4LCHERSS1Ui1IYS5ZtbbFjy9exY4TxjZOr\n8cKqOFJ0M1MV3sRjxVOsKHbNZDgpT0qRrExZsaM7nmuHgW15HMebJMuLpJi2qBYlURIXEdzXxt7o\n5Zz3/vGigQaIpbERAPH7VMHdffpsDahM8Mfned4O3808Ks0Fqq2FL30Jqqrg138dNtg2MnYZu5+7\njZ1v/zmpFWddQLJvH089naMjWxqeXR7OuATJWjfkunz1NobtFUzLX3HGSKwGGOyQOUmXnsNCf1ue\nG8qdt9CX9/H9kK2rzpLK7x37EhUMLR8wQsBXqvhSoCQi000zk0REREREZGLa2lwABKRPL+Ohn9xB\nn41zvjvBxYtuQHY+D0ePwqFDLv84dw5+8Qt4y15FAx0kE320HnCrpqUPVrNr34c40rWUwkD4Um7o\n69Grk4aHUJMxVpA01rlt2dfw/V0IFuATsXl+57rXqDW9I4dC5VpaXCiUyUAYDj4vlXqVKw/4PG/w\neWvr2NcQEZkEVSaJiIiIiMjElFXMtB64lkLg05uL0F2MXxLFFItQKEA8Dj098MPM9cSzqyjYCPGY\npabQzi+Or8Qv9mGMATvRMKiSKiIYGuxMhRnlHHaUawxu8wjIBjESQQ8roxdHDoXKlYaWl7eu7dgx\ncqXRRFviRESmQGGSiIiIiIgMNd7snZYW10IFtLU3sDTawVsXmwhHaPsKAlcoU2pNa++JsnpJA6az\nh+5en12/uIdYIoLN5wnDiQY9kwmGykOfqSqdyxKliCEEz5APoyNcwxLiUbARMraRHZ9dBalN418i\nlaqsTW0iLXEiIlOkNjcRERERERlUyXL0pYqZZJJm2mha3EvBxBkppLEW6uqgsRHa212l0onzcc4W\nF+EvbiRancCLRuguJvrnC1VqshVG07vSm0+eKAUiJiBCgO8BBMOuGA48X7zEsPOJraS2VxAkTcRE\nWuJERKZIlUkiIiIiIjJohOXo0+dW0vonF2hbX746W4pWUuxbC0eOgB+BILx0npG1UF3tjjtzxg3i\nLrW8tbcPrvoWhh7jB0SjtZiNZ3j7Wcil85VGCpkGK48uvX7/UHA8GsiwPJLhTLiMvDGEnkfRGILA\n9q9JZ/CwxBPwt4/GKpuHPdGV2SbSEiciMkUKk0REREREZFBbG0SjpP/3UVqP38K+4vUcsWu5vv44\nV9/uil0efNCFQOvrz3HDxVeo7oxzMLyJ6niEfBChUCg/YciZE0W6TmRpjncSra3nQqGBXM4V0AwN\nn8YLiyYSJF3aZlb+niHE4jEYKtkh+xoC7MBfl8qDp8H9YuSIUsAjIBme53xkOY1+D9naRnrzEI0a\nursNQQCNSfjMZ2D79gpufbIrs1XaEiciMkUKk0RERERErkATLWwZEI+T/tcT7O76FMl4Lxe7qynm\nszxfuJqTz0JtLbz8Mthcjh7OYSKriMUNa2vPc6hjKQEeg9M07EDY0k015A3dJ6uwBNgR5ivNnOEh\nlMGOUGVUes9tKb8/i2dcxGStxcOyPHKRQuBxwTbSQw0dQSN1sYBiTTUrVkTJ5WDlSjh7FpYtg7/9\n2wnkPCNUhw1sV1gkInOAwiQRERERkStBWXqUjm3jwdf+gLN9DWQyrqXsS1+CD3wA7rtvnDzCWh65\n+FFeLzbT3lvPqdxiqm0PfuBz6hRs2eKGafu5Hoq+Ze+ZNfQRH+1kFIgAbiB1p60b2D7a/tOjvCpp\ntHO6fTwCYhSweOSI9e9/6cps1tqBM/mEFGyUjK3D9rewFYnSFVaxJOYGjq9YATfe6IqKxisouoRW\nZhOROU5hkoiIiIjIfDesLerRb9zAwaPd5BviXOhKUChAoQD//M9w/Dh87nOjhxvp00v5ob2bRnOR\nvnwEaw3tJkm0r0DmGFy4AL294GWjHOdqCsTGuLHhc4nKtw83XUFS+blGG7Y9WJEUISRPtH8lutHv\nofyM9aaLnrCKsP/8IR4xU6C+PkI+71r3SoVFkxpbpJXZRGSOU5gkIiIiIjIPDWljO3yBllXXQa6e\n1pqF42oAACAASURBVGev5esHbyZuCrSfMuQB33fVMl1dcPAgPPQQXH/9yC1wre13s7iql3P55VzM\n15AzPsUQ8iQwOQgCiMWgl6r+AGYk0xkMTcXI91Gal+QRUBvpo6cYp4hrXyvg4UaBl1rhhs5TskDG\n1hEO/FXKzVfyohGCwAVJTzwxxW60lhYXDoKrSOrocOHSjh1TOKmIyPRRmCQiIiIiMs/s2eMCoUIB\nli6FvrYED578EBbDhmQ7ES8kwCMXRMBzbWlh/+r0HR3w/e+7eT4jzXZua7yReo6xt30NIR4GOxCq\nGFxYMnzFtvklxKdIiE8tWarIkjMRrIUQQ4QQC/1h0WCQZICoKVK0pmwwt1Nfa6ip9wkCuOaaaRhr\npJXZRGSOU5gkIiIiIjKPpNMuSDIGqqrgyBE4mLkOgoDqREgykWNxdZbTXdWutsZz4U8QQCQC58+7\n59/4BiQSbrZPc/PgbOfYikU811U/sNKZHWgVM3ieu2ZQCIhQJD/pIdqjtZ/NPH+gKimkhyoaw04W\nRTrpKFTTSe3A3XkEhET6n4cs9TNkvVqK1qfPRmlshPb2/qDOQLHo2v8eeGCablQrs4nIHKYwSURE\nRERkHmltdRVJ1dUuGEokwCYTnDlVBJPnRGcd1SaLCavA8wiCwWM9D3I51/aWybiV2bJZV/xy+LAL\nnb73PejJjvzXhGIRwkJAne0kUZXjrewyKguGhu8zW6VNlhCPuFcgHgnx81nOh0mC0KfQPyTczVEq\nYo1PaAN8Qqq9PJurjnGguIGwqhqvCGvWuKqwkyehrw/q6uCee2D79ln6aCIil5HCJBERERGReaSt\nzYUYx4+7yphoFGpq4ngJj6b6i7yr8WV6Vy1hbU0Dv3jD48wZFxJ5nqtMKhTcY7HohmmHoftqa3Nf\nZ86Mff3uLOS9GpZUu8lClYVJc6UvzlBtellS3UefjeOFIbki1CRCsDnacwnC/mqsKj+PwdJdjGND\nS1hThy1UkyvGuPVW932qr3chkjGwebPrTBMRWQgUJomIiIiIzCPNzXD6NFy86NrVPA96eiA0UWLr\n19B+8xoaGmB1B1SvhA/e+BYP/dc4+WxIosqjzVtCZ2+UYvHSc588CSMHP2bI83wY4WR3LbPZrjY5\nlh5bRaQ3oLE6xwVbA4Tki26wlG9CjDX4EY9ELKSKPhLRgKrGGKdqNrGmwVWEXXstrFsH+/a5n8O7\n3w3336+uNBFZOBQmiYiIiIjMIy0tbt7RsmVumHZnp5tj9K53uaApmXQVRrEY1PSd518ebSPpr2RV\nUy/1ppPMEZ/2YAngjXD20SqIyiuQhj/OL6WB4nfEnuebfXfjV0eJ2ALFwGIjBj/mE01EuPb6Wjo6\nai9Zna18Fb177hm6Ep6IyEKhMElEREREZB5JpVxVTCbjQqSGBte2duECvPEG/MEfwPvfD08+Ccmj\nBynGPU5nGvjZa2sBA9YSztMgaGTlQVfIyCFZ+d4ehTDCVZETNK81nMrESS6OU1fngjlj3Fypc+dc\nC+FnPzs0LNJcbBERhUkiIiIiIvPO1q0uTEom4dgx+O533ev1693jQw/B1VfDm4cW8XJnM8XQo2h9\nXPAydtgyurky96ikPEQq3Zth6H2aYfuDIcBEPNKNt/POu6s4dgw2bHCh3KFDsH+/a2PbulVVRyIi\no1GYJCIiIiIyz7S0wO7d7vm+fW6odne3G8rd1ASnTsHBg5DLrsdaS4jff+RoQdJcC4rGU7rfsP9x\neKWVGfE9nxCLoSHSTXtdE395n9tealvbuBH+/M8VIImIjMdYO9/+4IBt27bZvXv3zvZtiIiIiIjM\nmnQaHnkEvvpVt6JYJALZrAuV+vrcPtaOFraUb5t/fx9wLB5Bf1BWqjoCi+mfiwQuPCsPllxlUjzm\nYXyfX/s1+Lu/U3gkIlJijPmltXbbePupMklEREREZC4rn/jc3DzQe5VKwYoVg61tvb1uIHehUH6w\nx/irs10Ow683PQFW2F9p5REOXMNgiXkBgfXwvJAiUeJxj2IR8nkwnofX/7egdNq1BP7TP03L7YiI\nLBgKk0RERERE5qp02vWzJZPQ1ET6jQSt9x6kbV0Ta25cxI9+5CqSSkFSEIx0kkvnBs3faqRyg/OR\nPKCRDF3UUkc3oR8nxNC4NMbila797+xZd5S1LlRautR9v37yk1n7ACIi89Zkp++JiIiIiMhMa211\nQVIySfrsCna/8j4yZhFLz73Cz38Ob77pVnSrrXUVSWE41slmM0Cyw76myuATEDGWCAEWiPkB6702\n1/oWhGxoyvP2O+J84APw278NnudWavN9N2w7FnPPh1ZyiYhIJVSZJCIiIiIyV7W1uYnaQOuBa0km\n+nj93EpeeHU1vcaFI3v3ukqbhaY+nocwpLcYYbHfztXVpziXa2BFpIvPvus7bLoqx+7e+8lkYNky\nWLQI2ttdkFRd7UKkbNat5CYiIhOjMElERERE5HIaZQbSiJqb3UCkZJK2jkbOdFXxzNF1ABQZrxJp\nug22lc0eS6ltL/QjNATnqLIhG71jrPfOcFfDaVpuP0/q2gIcP87OnYPf6jvvhGeecQFcaUB5TQ18\n+tOz9VlEROavGQuTjDFrgH8EluP+X//vrbX/fdg+dwLfAo70b2q11v7lTN2TiIiIiMisGjYDiUzG\nvd65c+RAqaXFvQ801bXz9f2bCUJDEf8y3/hMGGkI+PCwynLpzCcXahX7ApJ1eWxvlr+N/z+kYgfh\njjvguusg0wHNzaRSQ7+te/bAww/DiROwejU88ABs3z7dn0tE5Mo3k5VJReBPrbW/MsbUAb80xvzA\nWvvqsP1+Yq39wAzeh4iIiIjI3FA2AwkYfGxtHZJ6DBYvpYj3/Q32Z4d5/tAyeooJPGPAXu7V2GbC\n8KCIEV7bYft5GGPwbJHeMEavX8vn7/geqbPdYFbCmTOwcqUL6XbsuOSK27crPBIRmQ4zFiZZa08B\np/qfdxljXgNWA8PDJBERERGRua+C9rRxdymbgTSgocFtLzvH7t1urk82C0//YgmFwhKy/QOkwwl1\nmk1nW9pMtLiNFCgN8n2vf4W6wcHd1ob4JqDKD7g79jO2n38MolG3TNvJk3DXXS5IGq11UEREpuyy\nzEwyxqwFbgJeGOHttxtjXgJOAjutta9cjnsSEREREanYOO1p6TQ8+ij84AeweDFs3Tq4ywc/CPv3\n9wdMh++lpe8FqK+n9cC1tHU00lw8REv8GFs+sYO2hhv4rwf/HW1dizAG3ngDurrcgO1CwWUmlQ/b\nHi/8mQszkMbmeRAEpXss3a8hsIZbzF7yRR/q690QpM5O+I3fgF27Zu+GRUQWiBkPk4wxtcA/A//B\nWts57O1fAVdZa7uNMe8HvglsHOU8fwj8IUBzc/MM3rGIiIiIyDBjtKelSbF7N7z+ulsxzFp49ln4\ntV9zlUW7drnhz01NkMlt4TPPNGBiUeprAtrOxHkms40vx2/nHdmTbKw9xStvdnLVVh/T2EBPZ5Ea\nsuTycYzxCQOD53kVDN6uJCSa20ESuABtOIOljh66wiqaY68Pe/NKaP8TEZn7ZjRMMsZEcUHS/7TW\ntg5/vzxcstb+izHmEWPMEmvt+RH2/Xvg7wG2bds29//kExEREZG5Y7z+s/HeH6M9rbUVikU4dAgK\nfUVMsUDU5vnpqRBbVUNvMcb+/VBVBYsXL+V4bQ35i11kz3kUChY/ZiiYOE8fXUdwlUfg+Zx8vZNi\nQ5SqYp5sGMMaD6wlCMAOaQ27Mn8tNsaFcs7QuUm+seRthJeCLZy6sIZnOrbyQPOTbL/9LORys3TH\nIiILi7F2Zv4AMsYY4CvARWvtfxhlnxXAGWutNca8DdiDq1Qa86a2bdtm9+7dO+33LCIiIiJXoPIW\ntYYG6OhwPWilFdTGex9ceVEmM1iRBAOvf3vfLg4fhqNHithsnlgkAM+jLtKLsSFhXQN9YYLOTghD\n9xUE4PtQLATYsmAoZgIifkA+iFK0g0OnRxpEDeXlSfOhImf4ZyjxBp5FItDY6OZFnTxZ+n6FRE0A\nxlAMDRaDwVJretiwtJu2jga6CnFWVbdzz+bD3Pf42zQuSURkkowxv7TWbhtvv5msTHoHcC/wsjFm\nX/+2zwDNANbaLwLbgfuMMUUgC/zeeEGSiIiIiMiEjLeCWiUrrLW0uMAJhgZOO3bQ/oyb7VNveujy\no8SjlmIYkrcx/LDA+bMeNjpYNFP6bde1qg0GKWDIW0Oh6GMI+98bnBM08spn4bBzzF2GsP8TWUIM\nfsQQjXl4nguPAN79btjYP/Tiy1+G9nbIZYFiCAas8SlaQ5QicT/kwPnFWOPhE3AhW80zF1IcfxA+\n9znN3xYRmUkzuZrbTxnnn0istQ8DD8/UPYiIiIiIjLuCWgUrrJFKuUql8la4/hXDGhvh4kWI2T4i\nnsfFbJx8ECHih8S9IvnA9K9IVglXeWMrDojmR5DkmvM8QuNhTEicAlVejmwuQRj1aGiI8KlPwUsv\nuYyuoQGuvRZ+8hNYvtKjr8ujvcN9Z2JekZXLoL27lqAXTGgJ8SESoX6Zz9mzQ3NAERGZfpdlNTcR\nERERkVnT3Hxpi1pHh9teyfslqdSICcXWrVBTA6+cDWg7kyDEwyMkDCxdQZyh1UWTMdJx86mY3wIe\nVVXw/tvaeX1vJ229SzCex5qqi9y9bD/3fb6Z1PZNQ0ZX3XKLq1T69rfhxIko19wADzwADz/sKpay\nIeSKrsLLhuBHIZFwP7ryHFBERKafwiQRERERubKN0aJW0fv9hszojp+mxbbC6VOcPv5bPHt8Kxcy\nyyj2t6OF+P1HlQdBUwmU5r+aGlif3c+WzV1kSJKsyrLrzh+77/X+JGzfNWJe96d/eum5/uzP3KPf\n/202xmV/fX0Qj1+aA4qIyPRSmCQiIiIiV7YxWtTGe78UIP34x/Daa262z5pkN30XDvEfuZ3Aj1Fl\ne4l0XiSbX8b4VUjlFUUzFSwNP+/sVzH5vsvonn1jJTc1x1ha20tbR6N7c3hL4Ti2b3eP//k/u5+J\nMbBqFdTWQmcnXH21ywdFRGTmKEwSERERkSvfKC1qY71fWuQtCOCVV9wA7d5e6D0bciC8AYshGgmJ\neiE9YWl20UQCoukOeUa7dingmmml1dq8gdcelhAPa13oE8bi/PzoarasPM/GxRfdbiO1FI5j+3b3\nlU7DI4/A889DoQB33gn33ad5SSIiM01hkoiIiIjIMOk0fPKTcPQodHe7oCKRcIFIX94nGgnpyFXh\n50MACkH5ymsTMd1Bz1jnms5rmf7/LfYPC7dlVwgH3g9LbX+hW/GuakUj+cPn2X9qMX9+209ci9sI\nLYWVSqXgi1+c+qcREZGJUZgkIiIiIgvTkCFIza43qr+17TOfgYMHoarKVSRZCz09LhCxYZxYEGIt\nVMcKZPpiE1h9bSaNFxSN936lYZMLinwfTADF/nN7QMjwUM3t63n9bWhhLQ3rIdl9jFThV7ByWMuh\niIjMCwqTRERERGThKfWwJZPQ1OSqY3bvhp07aW1Nce4cRKOuA8sYFyaBWznMGI9i6OpvLvbFYSBA\nmYzZn2dUuaGf0RjwooZoIU+RKHagza20n3seibhZU1ddBR/4AGQytSST18Kuxy/z/YuIyHRRmCQi\nIiIiC09rqwuSkkn3OpkkfW4lrX9ygS8dgvPnXWtbEFx6qLUeQzcvlBXa7JDnkYiHsRD1ivSGXn9V\nkh0IlTxjwBiqq11eVyxOuatNRETmCIVJIiIiInLlGqWVjbY2aGoifXoZrQeuZd+pFRxpb2SVf5aO\nbrfE/NgG5wSN73INwJ6K8VafM8NeB2AtfljAeoZasmTDBAU8LBAnT31jhOWrPXI5V8VkjMvu1NUm\nIjL/KUwSERERkSvTKK1s6Q/+Ba2H72Xf04s4kl3GlqVnOdZZz7H2WtL5ZTNwI3M5SKqkqsoOPJr+\nuqNGuthQ18mF3iq6cjHiXoGICbgY1GMICTEUs3nOnYsCUF8PX/2qQiQRkSuFwiQRERERuTL1t7Lt\nOfl2Hv7WLRzONFIsQLDHZ+2G1RQ7zmD8gH87sZpjHXWE1oNRB2nP5UBoKspnHI29j4fFI8RiqItk\n+aj/TzyW+DhB1tBBLRFTIGHyLItc4HRxKb35KOTdEPNs9jJ8FBERuWwUJomIiIjIlamtjT2d7+HP\nfvQeIl5IVy5OVz5GaA3tb/gExbVU+33kCx45Ioy0CplzpQVJIe7zjV+V5JuQ5fY0GRopEMcAi/wO\nGiM9PJvdxk23Rjj9kzc5Fyyi6EXpK/r0hgmqI3kKJk4k4grDampctqfKJBGRK4PCJBERERG5MjU3\n8/D/2EZ9LM+bF5Nki7GBWCifB/DoChOjHFxJxc58NFIwNnJYZgj48DWvserMPhp7T9HV0EQ7jZzo\nTfJGtonTdVdRlUsSu7qZtUfe4EDfVeD59AS1mNDiV/kAnDsH73iHG1MlIiJXBoVJIiIiInJlamnh\nxN/UURfL9QdJY4VDpaqkK7kiCYYO0h79+2Eo8u51R/js1u+w+9lfh3icBjoJCpblXoF4tJt1tVk6\n2zvIrV5LYfkNFF4AWwxpjOfJmhoiiQiJhGtzSyRg5crL8gFFROQyUJgkIiIiIvNSOg2PPALPPw/Z\n9ix1+Qs0Rc6wYlmAWb+eU/kU52yBty6aYUHSaCHKlViJNBKDRwCEhEQYGixZ4iZHc7Kb3aknSG3y\n2dmyhtYfXU/b86dozh5gR/iPtMY/SqZqNVeZ03DyLbjtNto6lwNw883w85+7AMlat4pbJuNWcRMR\nkSuDwiQRERERmXfSafjMZ+DQIfDyvVw4VeSUXcQbdhHhKY/IS0Xql+SpT8bo6B7rTOVzkhYKS4jf\nHygFuKHjFghZWdPDxtpTJG+9htQ3HwIgBaS2A6yAXd+CTBPkzrL7uashYWiIZ+j41RGWLVuOtRCL\nwa23wr59cPEivPvdcP/9mpckInIlUZgkIiIiIvNOa6ubxdPZCadPxQltAhcMhUSMpddG6Tht8P1K\nzrZQKpIG1UTyxMM+OsNqoiZPU+QMyaVRqshyY1M7ya2jHNjWBk1NpLyz7Hz7z2k9cC1t7ctppo3P\nfc7t0trqdrvnHmhpUYgkInIlUpgkIiIiIvNOWxucOQOnT0Noy1cm8yiWFRoFwXhnmkhl0lycpzQ8\nCKvsvnwCaqsCYtkMOeI0xrPEbZGzPdVkli1hR8soBzY3u561ZJLUirOkVpwdeE3qtwGFRyIiC4E3\n2zcgIiIiIjJRzc1w9qybyVMZO8JXyUQrk+ZKkFSu/DO5lrWRP6+lieOsjR5ncW0fmxZfYKmfoToe\ncL7QwLKN9ez8XHL0QKilxYVHmQyE4eDzltHSJxERuRKpMklERERE5oX0njdoffgE+w7Vc7y4nGx2\nFcZ4jLwSW7nRwp+5GApN1PDPEBIjxwej3ydaE+O59s2coIkQH2Msy6u72bH5JU6/leW5/K10RJOs\nuKGOG9+5jkwGdu4co7IonXY9bJ2drjSssRG2bnWTtVWOJCKyoChMEhEREZG5qRRetLWR7lrHg8++\nhyOFjZzoXUTM5oAQa8de4n56A6O5Hj5ZaunmntjT/EXNF9ide4APVj9FQ+ECHZt/nUO51RggE9Sx\nbEsd169u5pVXILnGdamNmQml07B7d387Wwo6OgYrkhQkiYgsOAqTRERERGRsZaEOzc2VBQiTOWb4\n8aXwoqmJR794LQfbl3LaNNKdj1IkMeyAhTBEe7SZTa6NrYFOPlj1Q3au3UOq9y12Zr5Aa/z3actd\nTXN1ns/f9kPo6qb1lU20Je9k0yb49Kcr/LG0trqfRTLpXpceW1sVJomILEAKk0RERERkdMNCHTIZ\n93qsfqjJHDPcsPDi+a4t5G2E9kIVLlRZCOHRcKUAafCzGywQYDBcnTjBzsgXSNUVoXYZqeUFUpuf\nhw9+EPa/4IK9Tc2kPn01pBZN7NL9q7gN0dDgtouIyIKjMElERERERjeZipQJHjNiEdOw8KKHBMeL\ny5l/QVLpXmei3c7iGYtvLMs5w+NrdpGq6wMicPEivOc9cN997nu+ffvULlm2ituAjg63XUREFhyF\nSSIiIiIyuslUpIxyTHpfQOsu2LcPjh+H7m63GlsuB7W1EInAK6/AL38JH0v8Jvu/18C+9rW05xKc\nyC8jT4z5FSTBTM9Z8k1AbSzP39z8T6S634Q169xQ7OmeZdTS4qrLwP38SzOTduyYvmuIiMi8oTBJ\nREREREY3mYqUEY5JH6xm95H3EdS4wOj8eTAGggB6eiAeh5UroVBwQdO/ZVsIe7Jk8jUABJRWbRPH\n4JmQxkSO62rb2P6eDmh5YubmF6VSrk2xvIRMq7iJiCxYCpNEREREZHSTqUgZ4ZjWV+4guWU13/8V\nvPWWC5GMgTB0FUnFoguYolH3CDEgOrOfbc4aqZrp0iBt2XKf5cvrsI3Xw67rZ/62UimFRyIiAoA3\n2zcgIiIiInNYqSIlmXQlQ8nk+IO0Rzimbd2dnMgt5dAhFxyBa3EDC8UCppCn2JsjczEsO9F8m49U\nCcPYn8utzBahSJQcUfJDtpfmJDU0uO9jGEJj42W4bRERkTKqTBIRERGRsVVQkXLpEO0UqV2DxzTv\ngr/7u1KAVHp0wVERHwgoFPz+LTM7Z2h2WVyQNNJndNsMlhg56ulmndfG6+EGciQIjQ/G0JD0KRqP\nmhq44QbYuHGcS4444VwVRiIiMnkKk0RERERkStJp19WWTLq522++CffeC+vKZkFv2eIWGBtqsDqn\naP1Lti08BggAqKeLWnropYrFXKTgxaG6mkhYoKa7gzCWYMvyTvzOZlpakqOfcvgPJ5Nxr8erLhMR\nERmDwiQRERERmZhhlS6tZ/6IYnEF+/a5TV1dblTShQuD2cWpU+7QMBztpFd6iFSqSBrtPfe+T8ia\nyBkWRztpqr5Ie3eEteExVkbOY+PVnC4spt3U0Rg9z6aablrs10jxe8AowVBrqwuSSsPQS4+trQqT\nRERk0hQmiYiIiEjlRqh02fe/j3O4qoEgWsXZs9DX56qQjh51X4sXw8svjxUkXcksEQLqE32091X3\nt/H5gMVgsf0Bk5uiFHIVbfzBoh9x3Kzh8Wv+Gg4cgFgM8v2zk1Yuhc5Ol9hVpaBh9djBUFub+zmV\na2hw20VERCZJYZKIiIjIQjOVGTojVLq0hw14He20x6vo7R3cNQxCzhwvcuKYR8hCbGOz+AQsrenl\nbcuO8uq5JRTqFtOe9WlvB4uH+9+ACCENXidrqtvpoIFm/4Q7RSIB2axb8i6XgzNnwPOgrs5tf/ll\n6OkZ/Raam115WLKsFa6jw20XERGZJK3mJiIiIrKQlCqLMhmIRuG733Vh0n33uffG09bmKlvKNNYW\nCPOFYZmGxWLJ2wjhkF85ywdPL4BgyRg21x7nxjUXeee741x3U5zqaohGLIYQnyIxisRNnoZ4jlVb\nl5KJLqUl9m3o7YXaWlfqFYu5n5e17mvpUqiqcsFSe/vo129pcT/rTMaVhpWet7Rcvu+BiIhccRQm\niYiIiCwkpcqiXA6ef95tW7QIfvUrFzKNFyg1N7vKljJbY69yQ/QAvZk+3AptpcDIo9TANbIredU2\nAENgfV64cDX/uPcaDv2qi56z3dx2G/zeR31uuiZHfaLIVfUZNi3v4Ppb6tj0G1ex8wtrSL1vNRQK\nriLpN38T3vte99zzYNkyqKlxlUlhCI2No99CKuWGbSeTcPy4e9TwbRERmSK1uYmIiIgsJKUZOs8+\n61qoqqpcpUtnpwsaxhvM3NLiQidwFUoHD7Ll9Bm+mv0LcjbK9FcblZ9vrPCp0v0uvzA0nCskacof\n5fa+HxFdcissX04yWc1vJWHXruphR2yC7Y9eeqJdu+CNN+DkSRfoNTTAhg2wadPYN5BKKTwSEZFp\npcokERERkYWkVFnU0eHCJHBtVA0NlQ1mHlbpsmffBh4q/DnnismBYdKVqTTwqbQtzlK+KtrcYVlR\n28Pquk7e6FxJt99A+Oprk+s2a2lx1Uk33gi/9VvuMRJRy5qIiFx2qkwSERERWUhKlUWxmGuTMsaF\nSTffXNFgZje7O0VbW4p4HH5w7DS9YYKeQmwCNzGZyqGJHDN3KpM8LEuqe6mOFsgWIyQbQtpORmm+\nC3bsmGDBUCnIKx+ePuGTiIiITJ3CJBEREZGFpBRIPPII/PCHsHgx3HqrC5cyGRdODFNa/G3fPnj1\nVbdr2Jvl+Anoyi9lsBKokoogw8TDnrkTDk2MJRnroTZeoD0bZ32ynV1bvwV3JWHXuyZ3SrWsiYjI\nHKAwSURERORKVkqCSpUsLS0ujLj/fvYcuomHn7uZE/uW0VAXsv7mRmr/k6W5/WlaGp+CFSv5q8Mf\n5Yd7k+TzroApCABCfCIE+Ey8pWy+BkMTl4gENFefp70nRmcxxl/c/C+jBnYiIiLzibF2/v2Bvm3b\nNrt3797Zvg0RERG50o0WxMwX6bRraUsm3Tykjg4XZnzwg+z57yf4s/TvU58o4AUFjnQuJkectYnT\nEIlwJltLZ1+CIn7/ycpHbc6/3x8vH4uHJRa1XJ+K0HG2j9XeKR5Y9x2233F+/v03JCIiC4ox5pfW\n2m3j7qcwSURERGQEowUx82lZ9V273D0nkwCkTy+j9cV1tB21fLfzNvI2SjH06MrH+uMhgyGkij56\nqRl2srm7WtrIJtNOV4nSOcu/H4PPr7sOamqgUIAXX5yBy4uIiMygSsMktbmJiIiIjKS11YUw/UHM\nwGNr6/wJk9raoKkJcEHSg999B2+dq+FodjFd1DNSQGTxRwiS5qOZC7w8AvCiA4vhleaYNzdDbS10\ndsKdd87Y5UVERGadwiQRERGRkZQFMQMaGtz2+aK5eaAy6dFnr2P/yUVcLNbTQ/UIO483+2g+VCPN\nPIPF9+DaLa5YLQyhp8dljbW1bp+rr4b77pvd+xQREZlJCpNERERERlIWxAzo6HDb54KR5jnBUXPb\nlgAAIABJREFU0G1btsCTTwLw1FtrOVdM0kMCN/9oooOzBSxVXp6aBp8bbxzseJzvo7VEREQmSmGS\niIiIyEhaWtzMJBg6M2kurMRVPs+pqcnd14MPgrWwYcPgtiefdMO2v1bkaHY5OaJc3iBppuYWzQZL\ndaRALBEluTQyZHRWKqXwSEREFhaFSSIiIiIjSaVc6Ul5ycmOHXMjNRhpntPZs+75tm2D24A9Xyvy\nx0+1EACXvyJppCBprg/ytlz6PTL4vuHaG+Ns3gwbN86N/wxERERmi8IkERERkdHM1ZKTkeY55XIA\npF/xaf1FE22ZeuJBD9/ouYNzbtIPc6O1bTIBUum+Zzp8ssMe3bVjMdcx+I53uIKvUkehiIjIQqUw\nSURERGQeSaeh9fC9tD1fRfOyLC3XvEZqxVmIx0lfWM2D33sXZwtJcnmPo+Eq2mmc7VueBqVqoZkM\nlSyGEJ8iIRF8imzaYOkJqohGYc0aV+w1V4rTREREZpPCJBEREZF5Ys8eeOghKJy/marzx/jB6038\nl2ffTswPWB37GH05wwW7iDC09BGjSP/a9SO2bg21hZf5I77I3TzNeg4TJ0+OGIdZz1PcxRf5I/Zz\nw4x/xpkztNrIvQ4xgIcFLFGKJLwCYZgj6XUQjSzhfe9xK7MpQBIRERlkrJ2Lvepj27Ztm927d+9s\n34aIiIjIZZNOw733gunrJTx9jjc6V/QP1A5dGGI8QlsKSbyKz7uOwzzBvWzlJeLkiPRPVypXwCdP\nnBfZyr/jHznC+mn7XJeH+33XJyTERUk+llgkIOIVSdJOlALX1R1na+1BWmp/QKrmENxzD+zaNZs3\nLiIiclkZY35prd023n6qTBIRERGZB1pboVAALnRxsGsVhYFf43xCLNhS5VHlc5G283W+zCdHDZFK\nogRE6eVWXuBlUnycx9nDRyb9WS4vi28sMb9ITTRPYH1+Y/nLHFlyC0ePRvFtnvfmnuH+5u+QWnIS\n+vrc19Zb3WwqERERuYTCJBEREZHZlE4PXTGupWXEnqq2NqiqggPtdRSsz9DWtYkP1t7O1/kKn6Ca\nbMXHRAiI0MtX+ATAHA+UDBEK1MTy+B7UxXJ0F+Ksrs5w7VVZVm2F666DnTtjpB75Kbx4GDrz0NAA\nN90E8TisXDnbH0JERGROqrwGWkRERESmVzoNu3e7JcKamtzj7t1u+zDxOBw6BNkgztBh1BO3jsN8\nmU9OKEgqV02WL/NJ1nJk0vcwswzGQHWNYU3VBbZveJEPbX6dW5cf5p2LX+N4MkUyCTt39ud2998P\nmzfD7be7r3hcy7aJiIiMQZVJIiIiIrOltdUtEZZMutelx9ZWSKUGipb27YNXX4WuLvA8QxCOP1B7\nLE9wL3FyU7r1ODme4F7exU+ndJ7JK/8eWAwGi8HzYMMG+PznYdOmCK2Pxmh7voaV+aN8/r0vkrr/\nnZBaNPRUqZRLlsorxMqXbauwekxERGSh0ABuERERkdnyyU+6iiSvrFg8DOH4cfa8/3G3clsBurvd\n4+nTpZ1G+v3NjLJ9qBtI8xy3UUPvlG+/lypu4flZWOXNMjho3H3m6moPY+Caa+Dxx6cx6ylVjyWT\nrgWuo8NVLQ2UNYmIiFw5Kh3APeNtbsaY9xljXjfGHDTGfHqE9+PGmK/1v/+CMWbtTN+TiIiIyJzQ\n3OzCiXIdHezp+k3++I9dIcyZM3DyZHmQBINtbuVflfkUj025KqkkSp5P8dgEjph8NdVwHuARECEg\nFrVs2QJ33TXNQRIMrR7zvMHnra3TeBEREZH5ZUbb3IwxPvB3wHuA48AvjDFPWmtfLdttB5Cx1l5t\njPk94L8A/+dM3peIiIjInNDS4qpeABoaSB+s5pG9v8XXztxJtj/vKRRcsdJ0uZunx1y5bSKiBNzN\n09NyrtENDaA8E5LwCzRGeiiYKGEswaJlPvfcM0PdZ21trnqsXEODVnoTEZEFbaZnJr0NOGitPQxg\njPn/gA8B5WHSh4Bd/c/3AA8bY4ydj/13IiIiIhNRNqsnvS9g95H38Xp8I9ZEKBYhmHDmM36r23oO\nT/ZuR7SBQxXuOfWqpEgEjPGoaYxTNHFsCLfe4uYjzVjHWXOza2srzbMCV03W3DxDFxQREZn7ZjpM\nWg0cK3t9HLhltH2stUVjTAewGDhfvpMx5g+BPwRo1h/eIiIicqVIpSCVonUXJK+CzHf7q5GCkEsD\nmEoCmbEDpTj5yd/rCKIUKtirsnlOI4lEwFq3wFpDg8t0li6Fs2dh2bIZDpLgkuqxgZlJO3bM4EVF\nRETmtnmzmpu19u+Bvwc3gHuWb0dEREQWkhlYzWv4Kfftg+XL3Yykvmw4SvRSySpuY/+alCM2rYFS\ngego75Tf50R/dXOfs7rasHYtXH01vPWWC5Tyebjxxss4A3u8ld5EREQWoJkOk04Aa8peN/VvG2mf\n48aYCNAAXJjh+xIRERGpTPlqXk1NLsXYvXtKScaePQys1FZVBc8+68KSoW1tk2kLGz+0Ocx6ruXA\nJM49skNs6H82HcO1LcZ4RCKGhgZ4z3tg0yb3zqpV8KtfuefJ5GXOc/qrx0RERMSZ6TDpF8BGY8w6\nXGj0e8DvD9vnSeBjwHPAduApzUsSERGRWVcqHfrmN11JzM03D67mBYOrefVXrKRj22g1Lew7tYLj\nx6GrywVFGzfCkiWQy7mili1bXJCUzbqOqYsXoVgcfvGxgpmRfk2qPMh5iru4mjeJTsMQ7gI+T3HX\nlM/jPlNIdSRgy81xli2Dj30MnnzSZXcNDRCLwebNl6kaSURERMY0o2FS/wykB4DvAT7wuLX2FWPM\nXwJ7rbVPAl8CnjDGHAQu4gInERERkdlTXo0EbmjPz38Ot93metEaGlxf2uHDkEySjt7MHz/5bg5c\nSNARhBRDD2PA9+Hll10WddVV8K//6mb9jD5Ye7L/nlZJ+5vzGJ/i43yFKL2TvNagAjEe41MTvoeh\nLFEKGGNYvIQhq7Jt2jTJ7rIZaEsUERGRQWY+FgFt27bN7t27d7ZvQ0RERK5Uu3YNruD1zDOujAhc\nqdGdd7r3XnrJDe/J5fjdf/oI32/fRjaMUyDGTLWoja3yIdc/5R3cwr8RmUJ1UhGf57mFd/HTSd1D\nOZ+Aqir4vz4W4dFH+zdONhAqDwLLB2arpElERGRcxphfWmu3jbefdzluRkRERGReaWtzQQTANddA\nX5+rTmpvd8FEJgONjW77c8/xk84UxdAvG0Ztyx6Hfw032vaJqvwc9/IEOeJTulqOOPfyxATuYaTv\ngQEMARG6sxEefxx+93chvecNFwhlMkPnVKXT499Ya6sLkpLJwbbEZHKwLVFERESmbN6s5iYiIiIy\nxEy2MjU3D1YmrVgBb387vPgiGEM6t5nWmhZ+/GwvR07ECALLGduI+ze6SlYwK28Hm50K8SOs5+M8\nzlf4BNVkJ3x8L1V8nMd5i3UV7F36jOP/G2ahAN//Ppx5IcrD77yOVLLPvVE+p2q8n3FbmwugyjU0\nuO0iIiIyLVSZJCIiIvNPqZVpMpUrlWhpGaxACkM39GjzZtIPfo3dvffzo/0r+PmJZk4VF3PWLsWN\nhpyO1cwunz18hI/xD/RQTRG/omOK+PRQzcf4B/bwkQqvZPAJ8Su7BIkEHDrfQOuJtw19o9JAqLnZ\ntbaV6+hw20VERGRaKEwSERGR+WemW5lSKTdjJ5mE48fd486dtO7fxLlz8PzzUCgaikTJE5vEBaar\ntW1q9vARbiDN89xCL1UURgmVCvj0UsXz3MIWXh4lSBo9TPM8iEbBjJO3GeNyu6xN0HaueuiblQZC\nw4PA0vOWlvGPFRERkYqozU1ERETmn8vRypRKXdJSte8/wd69UCwCGOwV8O9yR1jPu/gpW3iZT/EY\nd/M0GzhElAIFohxiA09xF4/xKfZzwyhnGbm9z2CJmQAv6uP5bn55PO5Co64u19ZWrqoKcjmoqovQ\nHD3pQqDyIdo7doz/gUpB4KSWgRMREZFKKEwSERGR+ad8plHJZWhlam93YceVaD838H/z8JTOYYyh\nKlakWICIKVK0ERJVhli1TzIJPT2wbh3U1sILL0B392CgFI26oKmvD268MUbLn2yB/enJBUIjBIEi\nIiIyfRQmiYiIyPzT0uJmJMHEK1cmoTTr+/BhyGYBQubbjKSZ4nmGmhqor4cvfAG2b4/2f7+i/PjH\ncOSI6zZbuRIeeAA2bXLfy3jchXPd3XDypAuaolG4+2747GchldoE23fN9scTERGREShMEhERkfnn\nMrYylWZ9J5OwahWcOTPtl5inLAk/z5Ilhg2Jkzyw7jts338eNrWQSqXG/FGoaEhERGR+U5gkIiIi\n89NlamV69FF4/XU34yeTAcIig1VJC7U6KaSaHM+96z+SWtPfbtjQAJkOl7zt3KnESERE5Ao2/6dG\nioiIiMyQdBp+8AOw1rVhZc4XyBcN7leo+RwkTeXeLR4h72/aR8q+NLOr6omIiMicpMokEREREQbn\nIpW65lpa3OvFi11F0tmzUCjO5wCpnB3jPTPG+xaPgCVc5LNr/yc0NrqKpHLTvaqeiIiIzDkKk0RE\nRGTBKgVI+/a5QdGrVrnQ6Nvfhr/5G1eR5Ptuvrfjz+btzgJLebhksCTIcnvseVLnfgT+Cjh0CDZu\nHDzkMqyqJyIiIrNLYZKIiIjMbyOVFKVSQzbHu89jDx/m9Bmfdn8RZukSumwdx45BxObp68qTzxte\nTscBDzupSQBjVfQM36+kkv1ng8GtWBdQ3tJXH+klSQdL6guQSLj07bnn3CEbNsz4qnoiIiIyNyhM\nEhERkdk3SiBU0XGlpdaamki/kaD13oPsW3QVRy42cP31UFe4wDPfy9FR3EgujFEIDbm2CF60SL7g\nYawhoLr/hKWgpzzkGWnbSCYaJJVeX+5AqbJrRqMevu+R6wuwQNwrUuNliRByqrjEtbht2uR2PnEC\n4vEZXVVPRERE5g6FSSIiIjK7hgVCZDIVrwiWfuSntL7+UdryK4j7BfafXUo+D0cPedgauHgRYt2Q\nDxOcz9ViAM9A0RrCfKllbbxfh+Zq9dBEjTfvKcTzDL5viMddi18+DxHfECVPfTzHRtNGe1BHe74G\nrrnGHXb11a5K6fHHZ/wTiIiIyNygMElERERmV2vr4CpgMPjY2jpqmJROwyOPwA+/+jssrsuzdcVp\nfnK0mWOdjayu66Av5xF60N4OYb4ez4Ni6GEHApXZHKQ9F8KpUnWSu5fqSIFrNwZsu72aF16ASMQt\nznbqFHR1eUTwCXI+WRsjNIbGJRFYscKdSjOSREREFhyFSSIiIjK72tpcRVK5MVYEKxUyvf46LKor\nEBZCnjqyjlNdtRRCj4MXF+N5FvKuuqaI78b/DAQoCz1IcowxVFUZfud3AOIkk+7bHotBZyfceSe8\n9hqcPw+ZTJQgHqWqaT0bLrzEpmWdEIaakSQiIrJAKUwSERGR2dXc7AKJUkUSjFnt8ld/BT/7mVt1\nzYariNgivmfpDaKDOwXGzY4GhoZHsxkkzYZLZz9FIvDOd8IddwyOpiofWXXTTW4EUiwGmzfDmTNQ\nXw+33w6JRC2Zw9fRsvp/wfHjmpEkIiKyQClMEhERkdnV0uJKjcCVxoxR7fLf/ht861v9FUdFAI/Q\nRPGCUnI0kZXSKh2sPRdMdFB3SGlFNt8zJKp8Egmoq4P3vhe++MWhe6dSQ/Og8nDpjjvAGMjlYOVK\n2PG5JKnU/VP/SCIiIjJvKUwSERGR2ZVKuWHb5au5jVDtkk7DX/81+H4pSHKsNQRDfqWpNHQptbxN\nJICaDyyegYSXoxh6hNYnCFwQdNVVcH8FOdDwcElERESknMIkERERmX0VpBetra46JhKBbBaGBj8j\nBUOVGD5DaQaCpWUvw7YvwrqnIXkYInkoxiCzHo7cBXv/CM7eMMYJKv1M7n6r/AJxP6CpoZNc4BML\n+oiuW8OHPjTY1iYiIiIyFQqTREREZF7Yt8+FSX19cGnQM9WWtZGOm2hr2TDJw/Dhe2HFSxDJgRcM\nvhfJw9IDsOhN2PoVOL0VvvGPLmC65B4qlzB56hIFaqN5FlVnWR07T6Qqys6vrFGIJCIiItNGYZKI\niIjMeek0vPpqKUiabqMFRlMIkq77Ovz2J8HPgR+Mvp8fgN8Lq1+A+1Lwzcfh1Y8Mu4fKAqWYH/LE\n2x9j05osrSfeRtu5apqjJ2n57BYFSSIiIjKtFCaJiIjInPfII24u97xw3dfhw5+AaLbyY0qh0oc/\n4V6PGCiNXilV5ef5wKoX2f7vV8P+/aQS/y/c1dzf17Zpkh9EREREZGQKk0RERGROKq0otm8f/PCH\n0NNTeqeSVdpmaZB28rCrSJpIkFQumnXHn/x1aF83wg6XtvNFTMBvrD/CX2x7Bvb3wa5dk7u2iIiI\nSIUUJomIiMickk7DQw+5AMkWC/jFPH19MSb2a8tUZyhN0ofvda1tU+HnoOVeePynFexs2bT4Ap+7\n+ylSy3qh7fjUri0iIiJSAYVJIiIicqlSWVBbGzQ3T3kZsLFOt2cPPPwwnDgBDQ0QBHDsGHhBgc5u\nKFI1gSvNUogEsDzthm2PNSOpEn4AK150q8ANrPJW+jxDV5uLewH/63f+mdSKs5DpcN9cERERkRmm\nMElERESGSqdh925IJqGpCTIZ93rnzkkFSuk0PPggnD3rTtXTA1/6Etx6q5uD9NxzUFMDq1a5EOni\nhYAwsFg87MCsoImYpRa3X3vMrdo2Hfw8bHsM/uXhYW8MDuSOmzyN8RypZaddkJTJwI4d03N9ERER\nkTEoTBIREZGhWltdkJRMutelx9bWysOk/lKk9L6AT/7bpzjQvoJC0VAogO0Pe/bs8QZ27+vz6OyE\nfC4gCMsDpIkGSZM1DXOW1j0N3hSrkkr8ANY+PerbVVWGNctgJRfh+HFXkbRjx5Sqx0REREQqpTBJ\nREREhmprcxVJ5Roa3PZK9Fc2pYvXsfvwezl4rpFCEJC30f4dLq02KhYtxaIBvOFnm4DJBk/TFFgl\nD0/PeUoWHaK8EqkkEoE1a6BQSPDAX6+D7Y9P73VFRERExqEwSURERIZqbnYtU6WKJHD9aJXO4+mv\nbHr0Z3dz4MJSuopVhEMCkctVbXSZRfLTez4/T3UkTzHwwYBPgDUeDYtjrFwJDzwA27dP7yVFRERE\nKqEwSURERIZqaXEzksBVJHWUzeOpZDB3Wxvp6M384PAGol6AZyyhLVUczeQ8o6mcexruqxib3kAp\niNJU205dokBT4iJb6w/R8tktpLZvmr5riIiIiEyCwiQREREZKpVyw7bLQ6PSYOdKBnM3N9P63Q0k\nE1lOdddRG8vTnovhWtjmYlXSNAVcmfWw9MD0nAu4NrmGV//9F4cFdwqSREREZPYpTBIREZFLpVKX\nVhzt2jX6YO7SY1sbxGK0nYywLJrhtb6lFAqWuRskTaMjd8GiN93w7Cnyjc9dm98H/8euqd+XiIiI\nyDRTmCQiIiJDlHeyxeNgLeTz0PyrrbTcchxOe7QeuJa2jkaa6zO0eN8iddhVLKWjN9P64gZ+fvEa\nzhUbCQoBReKMHyRNw2pqkzKN1/3lp2DrV8DvnfKpYqHhj+rvnoabEhEREZl+CpNEREQEcCHSo4/C\nD34AixdDXR3s2wfFIqxfD9nCOh749nWcziUpBB4WD8828Y1gDZ9NPAvZGh76yR0UAp/2YoRc3iNH\nnMGwZq5UJs3EfVg4cwOcvhFW/9uUqpN8a7ipuJQb/se3oGHjpRViIiIiIrPMWDsb/wo4Ndu2bbN7\n9+6d7dsQERG5YuzZAw89BCdPutf5PHR1hviERL0CkYgh6od0Zn1cGGPwjMWzAREvJE+M0EJNNM+i\nWA+nu2uxGPqIDezvzFYFUrnhYdJU7ycEDB4B1clX6b3/VsJo36TPVm2j7Oc+1mVwrYS7dk3x/kRE\nREQqY4z5pbV223j7qTJJRERkgUunXZBkDAQB9PRAoRBigRBDwUaxhSLFvKVIdPBACxB1WUq/jrxP\nRz7R/8oMexw4aBaNVJU0kYCr/PgQsHiELPUu8OHaH3Hfqu9wIL2Kj299i6wfjnaSUVXZCP/Ah1hH\nEhpC12soIiIiMscoTBIREVngWluhUICqKujshDB0c5LAuJzIulApJEpls49mq52tdN2xgiHL6IFS\n+T7jXMlAdbXHNfHDPL79X0itPA9nzsBrJ0m11cH/z969R8d53/edf/+eZ264YwgCBEgKFO+WRI8o\nmYqpyNbFlmMrdWUH5aZpusm24jYbaV1vT8O6rR3n8NiRN3HprerapjfbVRsndrKJDceK49qWHevS\nxLJNidSYulAULwJBECBIDO5zfZ7f/vHDEAMQIC4keP28TsaDmXmeZ34zyDng+ej7/f6Cm/jnd/eR\nD4sEdu6WN98a4vj8Vz7Mr3Kbe3JoyO3iJiIiInKVUZgkIiJyg+vqckHSsWOAtRhrZ4xT7LkKnulh\nzNXQulZprvVMf22+n2fyuKYmeOc74TOrv0sqfhhIwooV7pbJ8KvJJNv+99/kN775G+w/tZ9CUJgx\nVPKNT8yPcUf9Zv50/82srVvpKpKGhiCTgZ075/WJRURERC4nhUkiIiLXi8pt2NrboaNjzuHN6TQc\nPQpHjkAhF0BoCfEmXnWNbhETEliPAH/JP8Kls5CAa7bjzq9gqqkBz4MdO+DRRyHFu2DPC+7FhoYp\nIdC65Dr+7pG/4+d9P+fL+77Mj47/iCOZIxSDIlE/yvrkeh64+QF+e9tv8/YVbz//97dzp4Zvi4iI\nyFVJA7hFRESuB+k07NnjBjZXhhq7ds0YSFTu3JZIuPzCZMcZKSUqopUQ8DCEVDHOOLVcPTuyzeRS\nD9aees3qatiyBe6803135ywixBMRERG5GmkAt4iIyI2ks9MFScmke1y+7+w8L9go506HDkF9PWSz\nbvB2KYjgm5CSLVcmTVb3jFNzeT7Hol1syDXbLCXH8+DDHwbfdxVJU6RSCo9ERETkhqIwSURE5HrQ\n1QWrV099rqFhxt3AOvf2Unqpj0NvrKdElEjcJ5GIMJz1MOeqeSaHWVs8lqYiaTGzlpayMqoyUJr8\nHqqqIBqFjRtVdCQiIiICCpNERESuD+3trq2tXJEEU3cDK7diHTjAgb/9KEe9dYQmQsSWMPkCI9ma\niookiJiAwIJdsjlJpuJ+IYHShSuIzn+P+V67fKy7vgE8QkzEY80auP9+2L17AcsUERERuY55cx8i\nIiIiV72ODhcmZTIQhpM/d3RM9rVNPDcY1uHlstT6OXJBjMFiDcXAMvnPAoO1ECXEzU1aCpUhz0Kr\njewMt9mYabf5Xd8CAR5eWGDD6H4etV9y36OIiIiIKEwSERG5FqXTrlLmkUfcfZqUG7adTEJ3t7sv\nD9+unKc0PExjPMeYrWY055MPfZiow5lkCVxdDkvfVjZXGLSQa83HbMGSPXcfp0DUlPAJeHtTD4+/\n8ylS+//YBXOPPqpQSURERG54anMTERG5xqTT8IlPwOnTkM/DT38KX/sa3Hprira2FG+egJ9/Bwqf\nh3Xr4N/VLWfHuycqjBoaaPP7eJl1lM6bhVRuIbMYLB4hXHSb22LmIl0uk2szWCyWaq9EbaII+RwN\n3ghP3v5FUod/4La8W7YMXnrJVXnNskueiIiIyI1AYZKIiMg1Zu9eePNNqK2F4WHo7YVSCQYGwBg3\nKqm21uUfhw7BI4WdfPHwCe7bcJKOZh9bCsBaijY27cqTQ6ctUDj3z4SFzCm6dhgDYDAGqr0CvglZ\n3zRIthQlGmb4ZNv/S+rwN2DFCrfdXX8/jIy4k/fudTcRERGRG5DCJBERkWvMCy9AXR2cPQsnTrjn\nfB8GB11AEoYu8xgbcxmItXF+2rOavvE6vsYWTg/HGQqqmFp1ND0sml6xNP256bueXd18331n4+Pu\ncW0tUCoyPmZJeAWaTT+3rzxDXWOE9oZBOka/Qsp7BY6MQFOTax00xl3EWnj6aVcipuokERERuQEp\nTBIREbmalXdh6+pyO7N1dGCtCzDyeXeI57kAKQgmTwunzM32GKeK1zJxpu6iNle1UbkN7EJB01xt\nbAsNmy59W1x9PVRXu0qtIICWFvCKOcb6x6iuMnxw02Eezf8nUsF+eOd90NoKfQl4ZsSd1NvrgiRr\nobnZ/dzU5H4vCpNERETkBqQwSURE5GpV3oUtmYTVq91ubHv2sH3j/8WzB5eTz0NVFeRyrs3twgyL\nm380n/a2q2Eu0vnrNMZlP62tsHYtbN0KW7bAwYPQ9a3XaG/tpeOOY6RaT0NfAzwD7N8P738/xGKw\nYYMLk773PVeR1NrqSpxyOdi+3QV8IiIiIjcghUkiIiJXq8pd2ODc/WPVf0H3+scYHna5RmVF0uVx\npYMjmE/I5ftwyy3w+c9PLSDasQPo+s8uoPMmdrFbsQLuvddNM+/udlVgjz/uTvzt33YhU6Hg0rs7\n7oB4HNraluajiYiIiFzlFCaJiIhcpdIHAjozH6JrOOnm+LztNVItIanufXzmM27+89e+BtFoueXN\ncn5b2rU2OHs+QZXFGIOd49Bly84Pks5pb3eVXuWgDlwV0oc+BLt3Tz32sccmK8QaGtyE80wGdu6c\nx1pFRERErj8Kk0RERK4i5RFJBw7AsRceY0tDN+tbh8hkq9jz41/k4ZUvcjD7AF1PuE6sSATCYok8\nExU254VHM808mimFuVpDp8rh3xaDPfdMNArF4sxnGQMf+9gFRhp1dLiACOYOiFIp2LVr6uyqnTs1\nL0lERERuWMbO9Z/1FnNRY/4D8A+BAnAE+OfW2sEZjjsOjAABULLWbpvP9bdt22b37dt36RYsIiJy\nFfj61+HTn3ZVRkND4Id5vNERGhJ5+nINjOSiWGtobbXUNcXp7obhoZDQWjgXJs1kpp3ZrhUWD4sx\nEDMlaiNZsn4t+BFqa92udUHgOtDC0IVIDQ3w4IPwl385x6VnGG6ugEhERERuZMaYF+c25M3KAAAg\nAElEQVSTzSxVZdLTwL+31paMMX8I/Hvg385y7APW2jNLtA4REZFrQjrtgqQgmAyTjI0QCxOcGmgg\nbgqUrEcJnxOnLNV944yGCea3K9u1ylUjVUWKtFefoSVZItLaxOvdETwP3vUuNxcpnXYjjAoFuO8+\nV2C0a9c8Lp9KKTwSERERWYQlCZOstd+vePgCsGMp3kdEROSiXSXVKZ2drmWrvCvbsroCxaFxBos1\nRHxLbazEeDYBQIhhNKy67Gu8OIvZ8c1VJa1bG2Ljq9l0N6xcCSP/3b26aZO7r6lx87GNcWON1IEm\nIiIisrQuVBN/qTwC/PdZXrPA940xLxpjfusyrEVERGRSOu3m5mQybmevTMY9Tqcv+1K6utwMpN5e\nV5UUjGUpEaFoPaJeQC6IYRcVyFxNFlpBZWmtGsT0n8EvjHPokPsVNTdDS4v7OQxdVdLmzfDHf+xm\nZytIEhEREVlai65MMsb8AGid4aVPWGu/NXHMJ4AS8NVZLvMua+1JY0wL8LQx5nVr7XOzvN9vAb8F\n0N7evthli4iITOrsdKUs5R29yvednUuSSMxWBJVOu9vhw65VqzpRwuRyFIJqLJaxYvQqD5Iu1dom\nh217JiBmSsSihpyNke/NM5Ct5oEH4DOfcUdpHraIiIjIlbHoMMla++CFXjfG/DPgg8B77SxTvq21\nJyfuTxtjvgn8AjBjmGSt/SPgj8AN4F7sukVERM7p6nIVSZUaGtzzl1i5CCqZnFoE9fDD8NRTkM26\nneltqUR2LMQzCUp4GCA8r5B44RU+k+dcjaGUPXeLU8D4PqvqRsiVohRCn5WNecbG8thkckoXosIj\nERERkStjSWYmGWM+AHwMuM9aOz7LMTWAZ60dmfj5l4BPLcV6REREZtTe7lKdckUSuB6zS1QBW1mJ\ndPSom/dTVQX9/S48OnsWPvEJ17bV2+sGbxeLEFifIVuNxWMy/LkcnemLcSmGf1uiFLmJLu6JvcTD\n207x8df/Zwqhx1ghxhv9y0jW5Nl227Sisatk3pWIiIjIjWap/mX6BaAO17p2wBjzZQBjzEpjzHcm\njlkB/A9jzMvAT4G/sdZ+d4nWIyIicr6ODhcmlYfvZDJw5Aj09cEjj7gBPIucn1Q5jqmlBd56C55/\nHn7wA3jtNTh+3AVH/f1w6hSMjrowqWTBYrD4TO7Udqn/XF+q3d/MLD8v9P0MIR5nzQpO+av40/23\n0jtUTSnwMFgMAdTUUldXUTR2Fc27EhEREbnRLNVubhtmeb4H+OWJn48Cty/F+4uIiMxLKuX2kC9X\nt8RibkuwWMyVC5UDil275lXxMr0SqTU+QPfPennrdBWZsVYKJkqxGOGXfsm1tP3wh64QKpOpvIp/\ngXeoDGUW06p2Me1t8wmg5nvM9HUYEuTJ2Rg/K93JuupeooUiuVKCpuocazdFyPkJDhyAhx6aOOUy\nz7sSERERkUlLEiaJiIhcM1KpyfBh9263NdgiAopyoUwQwOuvw8GfB9hSHVV+jEQsJEqRXN5nMBPw\n/e/7DA66SqTL52LnJFXOXbpUJq85ThVRAsaCKK+PraY+Mk4+kqBQnYAasFkYGHDFZMBlnXclIiIi\nIlMpTBIRESlbYEAxvRKputrtyHbmDNiSpWg9iqVqhkvgE2IxhAVDX9+FFjHbgOxLHeQsxvRA6WLX\naSb+10609QV4WMLQ0Losh7cKenpgeNgViz34YEWmt8TzrkRERERkdgqTREREyhYQUFTuzhaJwMsv\nw9iYq0wCCG3l8GxDcMH2tekW2y52Oc323gsJmGzFvcU3ITXRHKE12IZGwhA2b4atW92v5bHHKk7t\n6HC/AHCBX7lfcOfOxXwYEREREVmAq3VrGBERkctvpoHcmUxFb9WkvXtdO9s3vwlf+xoUClAqudPC\nECYDlMVWFNkZbtNfv5pYIGS+a42bAvWRcTwTYrBUkSfqlSgR5eZ1EW7bVoW1k2ORzhtbVZ53lUxC\nd/csB4mIiIjIUjDWXm3/GJ3btm3b7L59+670MkRE5Ho0x3bz6bQLkv70T11olM2658//c3qhv68X\nCpjm+rtcPvdK/f2eWhHlERBiiFDAw2e5N8CglyRbiuAa2MrnTH7mpiYwQZGkGaRvpArje6xo9YjV\nJcjn4dZbXTXStK9eRERERJaYMeZFa+22uY5Tm5uIiEilyoHcE8r50rPPwmuvuQBpfLxcgTSbuWYf\nLTYMWopB2IvjU6LayxMzRdbHu1lTPMLp6jUct3FOjdVgrUfEBO57isWpqYH3vAeiUejpibJuXfO5\nDfTy+RmzOxERERG5CilMEhERuYDybKRSCV591YUeY2OzBUnznRd0KXZWu1QWuz5LNTlaooP8wdo/\n4qn+7SRLp3jb6oDba/IczTSSiBT5+alm+nL1rFoP99wDiYTrHPz85xUaiYiIiFyrFCaJiIhcQGen\nG8fzox+5remNmamlDS48kPpKVBLNpwJq8evysHhRw4PJF9mR+DabWo/Q2fJhunLNtNdkePyBfaQS\nhyGTIf3w79J5cBNdXdDW5mZkK0gSERERuXYpTBIRkRvHHPOQZjr8W9+CM2fg5EkXIpmro8NsHpZy\nppJlVdUZktVFHnu4GxL3kspkSO16m3u582/dd9zWDjt3kkptIrVjCZcjIiIiIpeVwiQREbkxlPvV\nkklYvdr1Wu3ZM+sOYOXDi0Xo62OiHMmW/4+L26XtamdwO7OVWdwGsIZIBJqbPZK1dXzy9qdIFV86\nFxqd+x5VdiQiIiJyXVOYJCIiN4Zyv1oy6R6X7zs7Zww/yocHAQSl8pb3piIKKv90zZQqzYOlPpYj\nEhao90a5qXaA1hVwOFxPlmpqa10Ot3UrdGzpJnXwdei60msWERERkctNYZKIiNwYurpcElKpocE9\nf4HDe3ogtOAqc8ouR5B0sbu+Xcj5c5x8E9AYGSFiLI1ehgdqf8ajy/6C1NY4RCJTK7gWWOW10PZC\nEREREbm6KUwSEZEbQ3u7Cz3KFUkAQ0Pu+RnE4/DVr8LwMJwfGi0kRFqqYxdroklvYviT78P998Pn\n1v/fpOKH4OWXIZuFqip331MFt98+tYJrIVVeCw2eREREROSq5819iIiIyHWgo8MFGZkMhOHkzx0d\n5x2aTsOJE9DdfTFvaJhaXVS+XSnl9XhUV3s8/DD83u/Biy/C009DqrDPVWoNDUEi4U5JJNzj6RVc\nXV3uuUqzVXlVBk+eN/lzZ+dSfVARERERWWKqTBIRkRtDKuWqYSrbrSqHRle0YnUe/Q3Wr9rC0zRf\nxBtequDILOJalcdPhlqeB7W1sHEj/NVfTTulXLnV0DBZmZTLTQZMlRVcC6nyWmB7oYiIiIhc/RQm\niYjIjSOVmn2mT0Ur1oEfLSPz2hlKxSbKu5idH+hMn5t0/hyiS2ch85NCJgOkyfVEIlBTAy0t52c7\ngKvQ2rMHVq2Cn/8c8nlXwbV+vQuOdu48/1iYDJumH1O2wPZCEREREbn6KUwSERGpaMVK97ZwbHgZ\nudES1gZMBjLTA6Xy43KIdDlDpUrhtNc8ZgqdymFSLOZ2Yzuncjh2dTUYA+vWweAgNDbCpk3nD8ye\nq8qr0kKCJxERERG5JihMEhGRG1c5SPnqV2HlStIt7+Wjf/dezgxFOBs0Y6eENzOFRAbPhIR2esi0\nWNNDoLmuZSvuQyarqMpB12R7m+e5oqOBgYoxUdOHY5eDnk99au7h2LNVec103HyDJxERERG5JihM\nEhGRa9tit51Pp0l//M/Z+9ZDvHDq18l2RQhCQ44qxsPERL3P3PtUhNbDGLC23F52Kc2nyslQb8YI\njUcujFHCn3KO77tiozB09w8+WPH1LGRXtosx3+BJRERERK4JCpNEROTatYht58vZ07P/rZZ078fJ\nBRFiFBkuxQnPBTHT5yFdmCtMWkyQdLEtcW6d7dFT9AQtWGMILYT4+B54PgQBRKOwYQNs3gyPPVZx\nuoZji4iIiMgiKEwSEZFr1wIqa77+dfg3/2YyJ7HhGiwW8BgnxtRQZzEBz3x3XZvpfS503oUDpzo/\ni1dbRWK0gBcG5PEBj1jcp1h01UgNDfCud8Gjj077WjQcW0REREQWQWGSiIhcW77+dfjCF+DkSRgZ\nIb3l1+ks3UfXUCPtDYN0bH4FDvTRuXuy862uDv7gD+DMGSZa0mByUPWlbE1byK5r8zH7LCZjYMPq\nHFUjZ7it6TSHom0cySyjJiySbLaMFn2CwLW1/e7vzlKopeHYIiIiIrIIxtpL9Q/ey2fbtm123759\nV3oZIiICi59ZNNv5W7bAwYMzX+/rX4ePfQzq66G+nvRBjz2jv0WyvYGGVTUM5RIcPV2DjUa5+Zfe\nRiIBg0fO8lffSzCUjVIiwtQB1Qu1kODpYv++up3iIgSEeBg/grUQj8PatVBb69rWHr79OAf/+hhd\nJyPEGuKYdevI1y6f/6/iYn9/IiIiInLdMMa8aK3dNudxCpNERGTRKmcWVVa2XGBm0QXPf/NNeOEF\nuPtu0rV303lgPQd6mhlcsZnG1XVsPfBf6Yj9DamVZ0iPruWjhx7j9FgtTeYsLbVZEpGAH2dTlOqb\naFkd50xPgVxmnP5cLeG5Ydqm4n6hfwMXGyYtrgLKEBKjSIhPrCZKMgmNjZDNwvveN0PbmoiIiIjI\nRZhvmKQ2NxERWbyL3A0s/aX/wd79/4IX+tdjMWw3P+GxugIcivGJ4Qc5lmnk5HAdsYGA+iEo9K3h\na+EeCkcNQ0EdIR7L6eeYXcPhsSraY70Uwig2NAwOQl1pgGW1BQbytYTnDckuBzwLCZQWEgpNH+K9\n0EDJ4hGwsb6PQdvAik2NrF4NW7eqeEhEREREriyFSSIisngXsRtYOg0f+eYDvDpyEwaI+QHfy72D\nV8faOXqkjVNhCyEGA1QFBYZOQFf+nonmL6gmyzjVdLOKVaaPluYCVfEaVmVH6R6P0bSiiOk5TX8p\nScKOU6R2hlXMFCTNFfrMJxSyFffln71pz1c+nh5yOTEv4B+t+B903H6EVN1xtaGJiIiIyFVBYZKI\niCzeQnYDmzab50uvfIRXR9oJArAYxopRSqUqukZWEJ7782SwwHgQhwAgRpQCJaKMEMGjBBjyXhXY\ngFdPN5OIlBjO+vQfGyUoLadgowT4RMhSooq5g6D5VA9dqJppstrJAE2cZZwqikQBg0eAh6FABDvx\nXiH+tCtYEuT4hRXd7N70Z7ByPTSsdt/1nj3zbyMUEREREVkCCpNERGTxyruBnTkD3d3Q3w/RKHzy\nk1OPq5yNtNqFIi/8YBT8WrJZS4HYRLBSDmJmD3SKxCZ+slg8ivj0Bsvp7TPEI0XuWfEm+7Kt9GYb\nqY3mMcUiUQpEgRF8wnPnX8pd3Cq59RsCfEqEGApEiVNgnGoMhiglqv0C40Gcusg4I6VqAnzA4hMQ\nixmWNdfwkbv3uyBpMW2EGqwtIiIiIkvEm/sQERG56qXTsHs3PPKIu0+nL8/7plLw8MNu97X+fmhu\nhttug6eemrqGytlKngfJJCbiQ6lI0cSxU/4czRby2GmPPEIiE/eGiBcSMSF/17OWhniOltpx8Dz8\nuE+WKkaoJUIIhBXXW5pNKDwCohSpJkuUEs0MEOITJU+UElWmQMwPeODmo/wf/+s4H/xQhFtuMSxb\n5tGwLMqtb4/wxBOwo+77rm2w0nzaCMvhXSZzLrxjz57L9/8XIiIiInJdU2WSiMi1boaqn8vaCnXw\nINx//9RWt0xmavXMDLOVtrf3cOznyYogqXJQ9XxNVjFZC2PFGGNeggIxvGLAYKEaz1gsIWAoESOC\npTTlGnMN4bZEKBHiTewIN/e8pDgFGhgiSYZf9b9Bn2nlmeBerB8hF6tjRWOB4frVbLi/nt17L3Cp\ngwtoI6x0kYPRRUREREQuRJVJIiLXuhmqfkgm3fOXQ1fX3NUz7e0uBKnw6OYfUVdVwiyo22z6webc\nfdFGCIkQhh7DhQSDhWoAQuuax+xEGFSa8t9RKoOsmW5ufpHFEC6wLW6MaqIxQ4f3LU6VmqmOl+gz\nKziTr6NUv4x774V8fpaTy5VmBw7AM8/A4cMQhi5YymRcy9qFzOd3IiIiIiKySKpMEhG51l3EjmqX\nRHkId6EAr73mQqNYDO68c/KY8myl8tqGhkhFMnzw/SW+/iM3cqkcKtlL0nlm5vh5vsGQwWLwjSWw\nkwHT7FzslCdGaDx+897jEHkvx56/jTCaoD4skkhGKMWqGBmBTZtmuERlpVkq5RKnH/wAnn8e1q2D\nj3xk7uqihQxGFxERERFZIFUmiYhc62ao+rmswUFHBxw96ipoxsfdAO7hYThxYnJGTyrl2u6SSTeo\nO5mEXbt49HeXs307VFe7oirv3F+lSzHPaKZKIzvDrdL5r8e8UsVx81mXwWC5q/ktRoahs+edbLlv\nOaONNxHUJVm+KoEx8MorsxQYVVaanT4NPT3Q1gZr18Ltt58/j2omHR2TVUwLqWgSEREREZkHVSaJ\niFzrZqj6IZOBnTsvz/unUrBqlQs+CgW3hjvvhHh86oyeVOq8ipoU8Pjj8Pu/D9/9LpRKkM8bwnCm\nHd0udve12UKg8nvN9LolYQpkSeAT4mEp2rn/dNbHcvRl6/mzN99BWFNPnZ+gqgpqalze1tAwWXh0\nnspKs9dfh0TC3YaH5z/7qBzeVe7mtnOn5iWJiIiIyCWhMElE5Fp3NQQHhQK8//2VpUWkTy2n869W\nn1vSli1uVvdMO9Xfequ7xOAgHD8OJ054hOHMb7X0yqHSxMyksITvhdjQUMSf81yLz2CxjqFSHfX1\ncHMTnDzpsrUPfABWrjy/A22Kyha1oSGor4dcbnIG0nxbGGcI70RERERELgWFSSIi14MrHRy0t5N+\nI0HnG7fR1e0TL45yotTK+vYiq1e7+dFf+Qps3w4bNkxuOPfww65rq1ylMzQEdXXQ3+8qeGY2WxXR\nxVYuwfQgCSzDthYbTJ+XNFPl1OR51rrb8LALyBIJaGyEQ4egqmqOwrHKSrP6evelWDs5g+pStDCm\n01PDx8pkT0RERERkDpqZJCIiFy295dfZ89xdZI4MsNrr4aXcLbyZXU1vf4Seg2d5ZV8WMmdJf+cE\nh75xkL5DgwwMuA3LBgddeHTkCJw9C74Py5eXrzzTjKOlCpJmupbB4nH+4O7Z3m/yeWMgEoFs1lUk\nNTa68UcT46Jmz24q50slky5I2rIFmpsvzeyj8oDvTMa105WTvbnmMImIiIiITFBlkoiIXJR0Gj76\nhU2cHqtlWWkZy0YH6Sm1EEai/GSsgZtfOEtvxicRsWSoZ2h0FNJdhGt8envraGtzgUt5F7cwdAO5\nI15IKYT5BUWzVQot1Exzmmab3zRzqGWM+yzGuCyoWHTzsxMJeOABF6DNqbLSbHoV0cW2MFYO+Ib5\nz2ESEREREZmgMElERBatXORy+jQ0RkY5EdzMm2GEeKJETcTNGvrF4DnssvsYKtXSWDXC9pv7IJsl\nE45T2LKdW2+tmB/U10fmpWPcG+/l21Ub2T+2mXDWOUWVYc58gqS52uMqX7cspAqpkue5MCkSgSBw\nbXvlgqJFzUS/1C2MlQO+y+Y7h0lEREREBIVJIiJyEcpFLk1NcKKnGY+AttosvmcZK8So9cc5PH4T\nr5VWkMlV0+gP0TyQZ2XdKBkvzkf+o5uZBNCQ62PouQNkSLLz3m442c1b4y2ctcsmWs0qWSDEmwiA\nwimtaBdy/jFm4ilXGTVTsDST2Suh4nEXIGWzbne6tWvdd3TVbKZWOeC77FLMYRIRERGRG4bCJBER\nmb9pLVddBz5KdMUy+vuhL1tPgxkmGSsybhJsqOslnw35m/H7XFBjiwyU6vnGyHtpGh1kTayX4S8O\n0bq5gUIBun/aQ3t9yM479pFqPQNr3uLLmV8jFhTJE2OmVrNw4v5i2GmZUSTiWu3cbnIuNDIE02Yn\nTb5WVlUFra3uvHJWs2cP7NhxUcu79CoHfDc0uCBp0WVTIiIiInIjUpgkIiLz292r3NOWTJ4b3Bx7\n9SWeffld2FiCZJOPKdVwZDjBxppTPP7+53nk+/+YiBeSLXqERM5VEJ2xScIwytDLRc4U3W5v8dGb\nWNfcwJazQwB08g7ygTcRJJVNrxaarZLIMrnHxPwHdhsDtbWQz0M+GxLzCtQwzliYIEcMzrXchRPX\nd9eJRGDFCnjf+9xspExmjiHbV1J5wPelnMMkIiIiIjcUY6f/J9lrwLZt2+y+ffuu9DJERK4PlSFR\nZaXK9DRk9+4p7VHp3hZ+7f/7EEeHWygSBdxObJEI3HMPPP25NMvuWkuuFCUXRrHTZhBFKOERUPIS\nRCKQIEuNn+NsvhZjLHWxAiO5KEXrVbSxTQ+BLmbw9tTzolGoqXFtam1tsLE5w/grx6g/fYRDdiNH\ngzUMU4NPSLWXJ0qRQu1y6uvh7rth2TIoFGbP4kRERERErnbGmBettdvmOk6VSSIiN7r57u5VMbg5\n3dvCR77zEEeHWyiFTLSbuZYxa+GHP4S2X1zDcCFBgM9kddBkgFPCB/xzJ48W44wU4oDFM5ZMNkEw\na4g0PwZbUZd04WvEYrBmDdx5Jzz5JECS9Nf76fxnx0mUivzD2h+xJXmSH+TexQtDt2BsyPZfX86j\njyo4EhEREZEbi8IkEZEb3Xx396oY3Lx33zbSp1dQCs1E4ONY63YwA+gfq3HDre1su6JNPi4WwVqP\ncqVRYEPMuRBpoUGSBQIMHlFTwvMMhcBd50KDuotFV5VUOYc6tWMTqR8cgWefhPp6SCTYkXsehofh\nvvtg75cXuLZZzKfNUERERETkKjF9exwREbnepNOuRe2RR9x9Oj319fZ219pWaabdvTo6zu1x/903\nNzCaj1VUDtlzN2utC5XwiZiQuVvR3DlOOTzypw28tjPcZr6WT0CMgCaT4e7W47y//XXWLxvklsZT\nJMhXnDv1GkEAzc3uY07x2GOwfv3k9wLu8WOPXeAzLUC5zTCTOTeLij17zv89iYiIiIhcJVSZJCJy\nPZthaDZ79kydh1S5u1cuBwcOwNmz8OCDkE6TJjVRNJOiveazbOl5ht6RGjBg7Gyxjnu2ZD0MIfbc\n4OrZnN8Gd/5rcz3vKpKiFAjxuaWpj8/f8w1SVW+S7m+j86U1PFv1Dp7N3kk5tHJznDx83wVJn/nM\nDAVBqZR7Yakqh+bbZigiIiIicpVQmCQicj2bK6got1cND8Orr0JfH6xcCe99L8TjpD/+5+wxN5Fc\nl2T1ajgz0Mon0r+GjYItAjac5Y0tca9IJCyRJ0o9g4xRS4EoHiEhHhaDhyW8qJlI7r3Kk5H8iWfv\na36VPb/y96SKx+Ff7SL10Y+SavpruKWF3zn77/niqw9ggUQkoLG1Ct+Hz372AtlNKrV0wc582wxF\nRERERK4SCpNERK5nFwoqKquWUik4dQpqa0m3/wM6D72brqFGjp6upS3ZRWF1koMHXWHTwIDbsc3z\nIJ8NZqk6CghDQ5bYRLuaZYXXTzFeSzEfMhYmCEyU6liJwXzVIj+cxU5MQfIJSZDjn7b+LY+96+ek\nbgvcYtva3Wdbtw7uvRc8j8/xY+5+W4Yv/OwXODlQzaq1VXzkI7BjxyKXcbEqZlGdM1OboYiIiIjI\nVUJhkojI9exCQcX0qqVCgbS3lT3P/wLJNVWsqBnhb8fWcGhgOasSsHy5y6XGx+H0aYhGoftYiLUh\n+SCCBRpiefIFyBOnhCVKiYQZJyDGUBiloTBKwavBAyKRkLFCjKntagZj3CDv8v35XF1TnDxeNELU\nlGj2B/jM2/6EHe/uc2FZZsh97p07J7+Hw4fh5EkYGmJHwzPsuOevYeNGN0fqSqpsM2xocL+fyrWL\niIiIiFxlFCaJiFzPLhRUPPEErF5N+hWPzp/dRFffxzgarGFFLEP/eDW9oy0QWKJRN1Pone90AU8Q\nuNFKt90GhRHoOw1xLyDiBeRK0YnGNYuHJeKF3FrVxcnCcs4U6+m1LSTihvy4pTosgvGJUiK0HsFE\nhVMkAqUS+L67N0CEohv2bQybosdp9U5z321n6ApW094wSMfKn5Cq74Jk6+Rco507J1vTtmyBr3zF\n7chWXw+Dg+64X/mVK/N7qZRKuRlWlTOZKtcuIiIiInKVUZgkInI9u1BQ0d5O+idZ9rywjWRsnFUN\nwzxzuo3Xi+u4qTfLhuQANy3vZn/0LkZGXJXQ4KALez75STh4EMbH4zz3oxLLvEHOjCYoEKFIZGKG\nkSFOkZfGNlHCw8OC9SjaCKEJKQYl1vvHqEkEdHtryOSqKZXcsmMx10ZnLcRihjDwidkidy97g1uD\nn5Nsr2f3B18EXnQnhCF0F2avMjp4ELZvh54eF6g1NsKtt7rnr1h/W4WlnMkkIiIiInKJKUwSEbmW\nlQdoX2iXsdmCio4OOvf+HcnICHFKpAfbCa0hSonoyACbbxuBW26hOFRFTw90d0M8DtXV8J3vuLf7\n1Kfgi1+M8K1vLccAdszNLyqFbg+3wbBmYqaSG5JtrYcphNSYLHliZGIrGCjBUMHHjwbUNPgEASxb\n5rrvyvOZmpp8tm71SSRSZJ4J2bn5u1M/y1wzhrq6YMMG2LRp8rkw1JBrEREREZFFUJgkInIlzScM\nutC55QHaq1e79rU9e1wl0hzXcG+b4qujTSTtWUw+T10ky7aa13k5u4HD+XbG01niZ2tpuRk+/3l3\n3p49kEi4gGf/fvj+992yx8ddS1qxCEwM3AYmhm8DGOzErm3FICQggTGWwHr4nqUhniMeDVn79iS3\n3AKtrZOjnjo6Jr+itjbY+clqUk+9CpnkZOve0aOwahU88sjM36OGXIuIiIiIXDLe3IeIiMiSKIdB\nmczUMCidnt/5lQO0PW/y587Oeb9tXR10Fdvo9tfQXjtAc9BLKYwQM0XIZeHUKcLBIU6ehM9+Fl59\n1QVITz3lrhOGMDLiusbAhUyOwf2JMdNu7rUQQ7VfoLVujO2rT/L0b/wJ9ze/ygBzqQgAACAASURB\nVNat0NLi1pbJTGZCu3fDk0/C7o40qYNfg+FhePllt4hCwfXDxeOzf48dHZMXDcOpbyAiIiIiIgui\nyiQRkStl+m5q5fvOzvlVJ3V1ufCkUkPDnK1be/fCoUNu/tFwqQXCDMtjgxwZWUHOribhFXhf4z58\nYzmT3MDJYzH+8A8b6OuD0VGX2UQiLkQaHoa33nIBUHmHtyAo78JmmdypzTIZLjljpThvnkkSlCCV\nOMyuBz06k/fMPoO6shIrlZocJm4trF9/4e9RQ65FRERERC6ZJQuTjDG7gX8B9E889XFr7XdmOO4D\nwH8CfOC/WGv/YKnWJCJyVVlkGHTOIlq30ml4+ml3SrEIfiLKuF9FdyFKt11O0gyyIj7I06N3k7UJ\nagLDisgZ+vrg7FnI511hj++7DKdQcG+5cqW75ujoRHWSDQhLlqhXwuIRWkPRTlYmMbHnWy6Mcjiz\nnM89dxe/88epC2c7s4Vvzz4LDz889/eoIdciIiIiIpfEUre5/Udr7daJ20xBkg98EXgIuBX4J8aY\nW5d4TSIiV4f2dpfEVFrIHJ9FtG51dkJVFRw/DqdOuQHXpqoKL+JR5RfosW38NLuFoVINjVUFCAP2\nZ24mk3EVR2NjkM26+UjWuu66WMwFUw8/DOvWwebNUBfJUR/LkoiGrKgZxTMQMyWY2OWtXKHkExLx\nAj7b9aukmSPo6epyIVGlhgYw5uK+RxERERERWZAr3eb2C8Cb1tqjAMaYPwc+BLx6RVclInI5dHS4\nti2YHCSdybj2q5lUDuuOxVyIMjzsHjc2wtatF2zd+vrX4QtfmOwMMxOFQtlsBM/UUetHCV1/GgWT\noGusCmMtNuJjjJuvNDrqzi2VXGHQsmVuIPfQkLvfvh0OHIBqL8uKxix1sSLWGKpiAVGvxGv9y8H3\nsNZgrQHPo2F5hFwOOvf2klrx5dmHkbe3w+HDcPKke8OGBjd0e/t296Hm+z2KiIiIiMhFWeow6SPG\nmN8E9gG/Y63NTHt9FXCi4nE38M6ZLmSM+S3gtwDa9V+bReR6MJ85PuUA6cABOHYMbrvNpTrPPute\nv/deWLNmyrTqKRvExXvpsJ28cSjkYwf+CdlcA54XIQhcMRO4UCm0HsVoNcYLiAQBES+gYKMUTZRl\nSY+ILXBb9Bijpg0vYjCJBO3tUXI5V4nU0ODCpa4ueOgh6LjjL0jFD51rRUv3trDn2W30jdVyNhfF\nGPe+DQ0unGqsytP19BvwDzKz70y3ZQt85StQX+9ug4PuDT/7Wdi0SfOQREREREQuk4sKk4wxPwBa\nZ3jpE8Be4NO4noZPA58DHlnse1lr/wj4I4Bt27bZOQ4XEbk2XGiOT3ngdBDA/v1u4nVfnysHqq93\nxxw6BPff737u7CRNij17XOXQyUOj/PjNgD/3OhgqVjGci5MNABNS2eUcibjjfR8KgU+82qdtVYxY\nDHp6YEX9OMmht7hr2XGqS8P8qGs9Jpcn0XWW9Xc0E4ks49FHpw/LfhfsecH93NBAKn6IXeu7yd20\nkW89696rvn5y7tI7mo7T3jR24SHaBw+6KqSeHld91NgIt97qnt+xQ+GRiIiIiMhlclFhkrX2wfkc\nZ4z5f4Bvz/DSSeCmiserJ54TEbm+zNSils/P3M5V1tnpgqSDB2F83FUk5XJw7Bjpmx+mM/t+ukaa\naKeejuXPcduzT/Hf/nI7h4du4bVMG6Wsh2/rwMCwrSVqAjwMwbQ4PhJxt2jUPW5tnQx6WlthpDvL\nbc2jhKWAlSOHuLsuy6poH4VSgvY399FRfInUb/7Qfabt2zmXLE2rukp9poO/SCX53OdcMVEu5/Kg\nd7wDlr9xho6tR6YubPoQ7a4u2LDBVSGVheH8B5aLiIiIiMglsZS7ubVZa09NPPwV4OAMh/0M2GiM\nWYsLkX4N+PWlWpOIyBVRuaV9NDq1RW2mdq6yri7o7nbDiGpq3JTrRIL0YDt73tpBdY3HMHX8+YG3\n8aXRt3Nz7B/RF11J/2gVJiwQIST0fHJhDLAUrU/EhBhrKOdJ8bjLqKqq3DykNWvgnntcV93AALzv\nffDe1/+Mg+GtdB3yaI9nefzm/0qq5ij09rqyov0jbvI2wDPPuDU//visVVe/8zvuupVdaR3tL5OK\nHwYusDPdInavExERERGRS28pZyZ91hizFdfmdhz43wCMMSuB/2Kt/WVrbckY8xHge4APPGmtfWUJ\n1yQicvlVbmn/zDOztqhND17SsW10vnonXf462r0TdOT+jJv8Hp7w/hUn880MBU10e+3YYpFCEOX1\n0joK+ShBaKk2JQxutzSLgYn/xYZECQi8KEHoUVUFH/6wy6uOHnXzrAuFiblH5YKp3WfYkfkWDD/n\n1m4MZHOusqpYdI+rq92ijYHTpyc/z5QBTpNVWOflTNPa4mYcor3QgeUiIiIiIrIklixMstb+xizP\n9wC/XPH4O8B3lmodIiJXXFeXGyoNLgAph0nl7eynt3MxUcx08p+QtH/D8qCPV4ONfC/3BLfbA+wP\ntrKq5iwDsQaShVEGigmicUM29N1Oa/gUbISEKeATEKNAEZ86RhinFut5VHk5lrd6NLYkKBahrW2y\nmOhcAPTERAC0ZQs89ZRrz8tmXWCUy7myprGxySAJJrd26+qaWpE121DtsvkMI5/PMSIiIiIisuSW\nejc3ERGpbM9qaHCBDLifYcZWrW98A2xjkuNr38PQqyfBWqpjAYVla1hTGOdnhe2cGYphLXi2SDQo\nEfFD/GgIBYMxlogfUh0PqB0/Q49tISRCJAK18Tz1kXHuWtbLxg/dzu7dFW88UwD01FPw8MPwwx/C\n009DU5ObjXTgAJw9OxmOwWTI1N4+tSILZh6qXelCw8gXcoyIiIiIiCwphUkiIkutsj1r82Z47jn3\n89atpN9I0PnKfXStvZ/23S6zsRa+9z2XyVQ1rWTd+xI0979KfOwsz2fezuHiasaLMcB1mYFPGFrW\n1QzgRw1nhuNUlwZpT47Tb5so5Uts4AQ9ZiVBaDBYikQYHgzp6Ji21tkCoIMHYe/eqW1rd9zhFtnf\n7waEg9txbsMG95mfeGKyIqtshiosERERERG5tihMEhFZatPbs+67D4whfWo5e459gOSWVaxoX8bB\ng/DXfw133QXNzS53Wb8eTp9exk8G38XpAvQMuR3QqnwXJLkwySMWhYZwgNyw4R3VGcaTq1nXkOcB\n+2P6ohCri/NmGPJKfwuNiRxxcqxaUTy/yKeyJa+sMgCaXhmUTsOXvgQvvODa3+6/f3I3Nw3MFhER\nERG5LilMEhG5lGYZOD1Te1bno73U97zFwAuHOfjMWQLrsdzkSewf5fd3NfG5v97Em2/CT3/qCn5y\nOXefzbpOs1WrwPPgrWMBhQIklkdZf9M4kTDCrvVfJvWZX4PUh/nwA0NkXunhWLaZqliJu5uP0Gz6\n6V593/nrX2gAlErBl78882samC0iIiIicl1SmCQishCzhUXl12YZOJ0mNeW0X7ntDQ58e4QxGigG\nhhWjR7kpcorqFXV0H01g/vWnqa77GH958h7G8lHicTfnOpuFUgmCfJG22EnI5QhNFflEFetbRmlv\nGKTjba+Rio9BZydpUhwbaIDGKF4hjykV+fvTG9iy7TY2bk2e//kuZQCkgdkiIiIiItclY6290mtY\nsG3bttl9+/Zd6WWIyI2mMiyqDFrKu5Pt3n1+VU8mQzq/mT3jj5077dQpeOW7XRTyIQ01IbcX91Fv\nh6BYJDMSoVC3jLGwiqQ/wp8NfYCsV4v1ItTXu0qk/t4SXlDkrsRBhr0GhvNxPtv2BDs+mIMVK9z7\nhiF0d7O7/UneeAP274fhYbdrW6nk5jL9yZ9M272tq2L3toMHZw7MZvteZgvYRERERETkmmGMedFa\nu22u41SZJCIyX3PtTjbLvKHOp1aSvA/q6uDIETh5Erx8jpuXFaiOlwh6ioRVUYaGPTK2hmo/QslG\neGHkVjKFWgwQSYApFdgQOU4i8OhlBafCFlZFzvC71f8nO6r/Hl5rmwyThoYgHufAn73GwKAhM7qS\nvFfNcE2Etja39HNB0ky7t5UDsrlcoBpLgZKIiIiIyPVJYZKIyHzNNZx6lnlDXWYNDR7s2+fmHq1a\nBe2lXvoGYvyru1+i87tVdI0tJ17sp9rk+JvT9zAeVuMTEveLZIMoXhCQG8yRjRaIelF+I/qX7PX/\nJcSr3ODrMyH4vqtIGhqCo0dJD7Zz7GwdeRsn7hVZ7vfi08Tq1VVs3DixvrkCsrlc7PkiIiIiInLN\nUZgkIjJfcw2n7uiAT3wCTp8mnbmJzrH385Z3D+nazZT+Flpb4Y47XP6U4RbaR54nFT9E6v050t8/\nxcczv02/Xc7ZsIkCEaKUqA+GiXkJsqUEORMDG7IhcpxH7V73nsUi1NbC4KAbqtTd7dazahWdpz/I\nrSvO8lzXzUS9kGXVOYaHBjl4sIp/+28n1j9XQDaXiz1fRERERESuOd6VXoCIyDWjo8OFSZmMqwAq\n/7xli5uX9Hu/B4cOkT67ij39/wtnivWMluLki25OUmOja3XLZCDjN9PxyS0umCoW+VLVv+aIv4kx\nW0t5kl2JCAbLqkgvdXaYpsQoD7W8yONVj5PyX3EDlEold6uqgm3b4MknYfdu0r3NfOut23mxewVh\nrkBt/gwjwyENpbOsXVtRNNTe7gKxShfavW26iz1fRERERESuOQqTRETmq7w7WTLpKoCSSXj4YTdj\nqBwsVVfTOfI+atvqON54B/1+G9tq3+C974W+vsnTdu2C1I5NpDt2s7v9Sf6i937O0MJAvI04RarJ\nkSDPEA00RUd4X3IfjzR8k90f+Akp76CrQgI3SRvg/vuhUAAmxhgd+0fEimPkxwPiXgHfN2yPH2Cr\nOcDWtt7JzzRbQNbRMb/v5GLPFxERERGRa47a3EREFiKVmjoLaPdu0qVb2ft37+GFVx7F+h6jhTgt\n48MU66owwMsnYtQ3uBDpyScnTy3Pri4WIZuFYrEaD0vSy4AXAWsxJs/tDcfJ1KyiI/ufIb4R1q51\nqVQ0Cps3w113QSx2rv1u7144FG6kZ3iITNBAmz9A3OZ4aXwzm1uH2Gk7gccmP8+uXVN3Y9u5c/7z\nji72fBERERERueYoTBIRmad0empm0tEBHAj4xKsf4s2B5dT5/RQCOFVqpreYpCVSpDk2TH2tYWjI\njTVKp921OjvhW99yHWqZjOtYs3iENmDANlJl85TwafHPkmyL8+7mV+nsf5QnnltNe3Y7W+I/5WDL\nPXSV1tH+Uh9bYm9wcMs/5sCH4bnnYNmyGrzIGEkzwnCxCi8eUlVt2PVLz5MqvDT1g00PyBbqYs8X\nEREREZFrisIkEZFZVIZHsRicPAnr1rnd2Pr64FOfAu/w/8SRMw1YDwb9Jgr5EjVmnEFbz8C4T7Ud\nZ6i6meIIbNwIn/60C5DAFRcND7vusJoaKJU8ghIEoSW0sCKWYUvrAFuaT/PUoc0k797M6vXNvPHm\nHXzluQ7u5nXWc5w3xm7mKyffw/ab4vT0uOv19EBLPMq6mrPkSAAeD218k1TiMLRpnpGIiIiIiCye\nwiQRuTHNUGaUJnVeeLRyJcTj8MwzLvgZHISI60Ajm4W3+t5GYTRPiE8JnwglqhjDM5ZS6DMQbSVO\nlKakO/7AAWhuhtOnYWzMtbhZCyMjrmvN98DHEvEMm6q78fLw+/t/mc23V5Gva6S/Hw4dgkh1nNei\ntxNN3U56H5Q8+MlP3DWrq12gVIjWQLEXa3wGCvV0rPyJK4PaufNKf/siIiIiInINU5gkIjee8rCi\nZNJta5/JkP74n7PH3ERyXZLVq+Hb34beXrcLW22ty2BiMTh71m2aFo+XH8fIFA2RYgFbDIhGoRhL\nUh+LsnYtPPSQe8swhDNnXEA1MADj45NBErj7YiEkYfIkq3JU+wUIQ0YGLSeoo+EM9OXdsSdPuvce\nHob6+nNzvykW3cfxPAgCOHkyxnDjGmIjZ3mw4WVSm3LQsUstaSIiIiIiclEUJonIjaez0wVJEwOr\nSSbp7H8nSQ5Rddt2XnvNtYlFIq4l7R3vmKxEKhZdqxu4EKexEYIgSn9/FK8KorXuuOoEtLS4Yxoa\nYGgITpxwG66dPeuuG4ZgjLu274MNQhKREk3xUX6Rv2dFYphMoo5gPM6W0Qy1qRS2uYVSyV2vsRHu\nvdetZXDQPX5b81l+/HwRU8izuS5k6ztqyfg38diumyD1nivzfYuIiIiIyHXFu9ILEBG57Lq6XMID\npHtb2P3td/DV9BZ+vD/BM39ygoGuEVasgLY2F/bU1cEtt7hWtFjMhUCZjLutXg333OMqhKJR99q6\ndXDnnfD44y6v6u5294mEC43AVQ6VxWIuCKr3x7HGZ4v/Gs3xETIkydDIv1z2NUa8enKvHiWRcF15\nY2PuHlwr3vAwrKrJ0HLoOW6rP4GNxkj6IyQPPs+uh99QMZKIiIiIiFwyqkwSkRtPe7trbctvZs/f\n3knjwJtU21HeYjWRIZ9fSrzExju38OzBJurrXUAUj8P69XDTTS4cam+Hd78bvvAF2L/fBUK//Mvn\nuuZIJie7yTo73aykH/zAhVOe5+6NmQyXVq6ELa3HqLPDtJ45SlfYTnuij53JTlLLe9i0eS2dP1lN\nVzds2uR2kjt40OVi5x5/4QBdpTY2rRzl373nm6RaT7vFHEzDjt1X7OsWEREREZHri8IkEbnxdHTA\nnj3s3f92DvXWMZB/N6OlBF7cZ3lNjqPZlWztOsz69U1TwqPPfGYyICqPXVq5Eg4fdgHRT3/qWtx8\n3824Lh8TBHDkiGtxC0MXPFVVuZ+tde10W7aAP9zOY/Y/kKr5oXvBGMjl4JZfJBU7TOrDZ2D3h899\njB07pn6sHd/5E7h3YmhSWUODS5xEREREREQuEYVJInLjSaVIP/y7PP3tJupzPRRNjJoa8CIBES+k\nJ5fkgfwrU8Kj6cpjl6qqXDtcEEA+73Zau+sueOIJOHrUtbal027GEbgACVxbW7HoHi9fDhs3QkdH\nkhS/Bl8acGVMTU2wfbtLn+azC9tExdW5WVDg3rjcDyciIiIiInIJKEwSkRtS58FNNG2E/jfACyxt\njWMUAh+w/NONP2P3Qwcg9eFZz+/qci1tr7zidmmrq3PB0okTrjJpfByOH3fVSOBCJWtdeBSGbgC3\ntXD33W620mRolYIvf9klUJ2d7o3a2lyQNNfgo4mKK2By6vd8QigREREREZEFUJgkIjekri5YtQpe\n+XkjfjFHEBrqollyWejw/jPpV+6m89FeuvKttLe7nAbgS1+CF16A3l5XMHTmjKswisUmd2iLxVyg\nlM+7iiXfd8FRMum61oLAFR21tEwPkiqkUnOHRzOds2vXZAjV3j6/EEpERERERGQBjLX2Sq9hwbZt\n22b37dt3pZchIteYymKfF16AkydduBP1A7xinlIJWiIDPLThTU7kmlif6CF32zYOnGiip2dyYHZz\nM5w969rYwD3n+/9/e/ca5PZ53Xf8d4C9kMslsSuJoiyuIMnVpbU0MCtvZCtVHDtWYkuJoxhVYvlF\nm9TsqK6sST3tjmPHMx1OXb9wu4mnrhspbuMZ15NGThhQ1tSyIzn1RO1kZIeyGFjXEXVbLqkbxSV4\n3xtOXxxAi6WB3T+XC2AX+H5mMAAePAs8qz8BkD+d5/wXqpAGByMsev31CJrMolCo2mx7YCCad4+N\nkfMAAAAAWDvM7HF3H11uHpVJADpesSjde6/0yCMR8lx2WQRJp09H8+ve/rROTfeqr3dOfYP92nPg\nBp2c7dPT/ds0dyilocujyuj48ag6kmL3WFW1V3bV9HTMy2QiYJqZib5IZ87EvMsvJ0gCAAAAsH4R\nJgFYP2pLi6p7z5ZJZKpnVHvuOemCCyLYefjhCJLm5+MSZ1lLabbcq5eODitlZfWmXAdPDCttZc2+\nKZ08GVVGPT2xtW16euE1UqnomWQW4z090eaovz+WesUVsdRqC6O6QdIKfjcAAAAAaIfU8lMAYA2o\npkJTU9H5emoq7heLS/7I7/6utHev9MILkdM8/3xUGM3NRejjHoGSZHKlVJbi2k3zMqXTETyl0zE/\nlYrwqb9/oRrJPR4bGIjrTZsiOBoYkN79bunmm6XJyeiZ1DBIOsffDQAAAADahcokAOtDoRBpTPW0\n99XrQqFuBc/u3dIXvyi98kqEPSdOLGxHS6UWn1FNklwmyZVyV196XnPllDakZjW4Ja05W2ie/cYb\nla1xvfFzqVTcr4ZH118v3XhjBE6JC4zO8XcDAAAAgHYiTAKwPkxMRNVOrUwmxs9SLEaQdPp0XGZn\na0IjX1xRJMV9d1NfT1k9Ksu8rP4e1/bt0sG3+jQ4KH3wgxFIPfBAVDIdPy5t2CBt2xavMTMj3XGH\ndPfdK8h/zuF3AwAAAIB2I0wCsD5ks7H9q1q1I0U5UDb7M1MLhWiwPTUVFUhnc1/YpjYzE9VFZlK6\nJ60z02n19ESF0c03xxnbtm+PeVu2xG0peiNt2RI/+/M/L119tbRrV/N/NwAAAABoN3omAWi73bul\nD3wgzrJ2xRVRBbRr10LLoGJR2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"text/plain": [
"<matplotlib.figure.Figure at 0x10b7839e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(20, 10))\n",
"start_from=0\n",
"plus = 10000\n",
"plt.plot(original_samples[:, 0], original_samples[:, 1], 'ro', alpha=0.5)\n",
"plt.plot(samples[start_from:start_from+plus, 0], samples[start_from:start_from+plus, 1], '-bo', alpha=0.5)\n",
"plt.plot(samples[0, 0], samples[0, 1], 'go', ms=20)\n",
"plt.plot(mu[0], mu[1], 'ro', ms=20)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x10b61dd30>]"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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c21kxrXkismRUmSQiIiIiIjJfgkHT2lZbC0B06E4iV/YSyzQR/GGKcHgrrYdn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\nEuZJup1DXHVzWSKhA7OZgA50S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B/96OzNmLk5mzdf1X0WQgghhBCvvzd0m5sQQgjxpjV3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\n+EPpyJHCXkSjyfY/SqfdWCQ3jvPnXZhkjDR3rvtpbHTVUNnrKdKzqagwK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"text/plain": [
"<matplotlib.figure.Figure at 0x10d0f20b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(20, 10))\n",
"freq = 10\n",
"new_samples = []\n",
"for i in range(int(samples.shape[0] / freq))[100:]:#[400:]:\n",
" new_samples.append(samples[i * freq][None, :])\n",
"new_samples = np.vstack(new_samples)\n",
"plt.plot(original_samples[:, 0], original_samples[:, 1], 'ro', alpha=0.5)\n",
"plt.plot(new_samples[:, 0], new_samples[:, 1], 'bo', alpha=0.5)\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"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": 2
}
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