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@ThomasCabrol
Created April 23, 2015 22:49
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Exponential Smoothing with Pandas
{
"metadata": {
"creator": "thomas.cabrol",
"language": "python",
"name": "",
"signature": "sha256:eb16b351da0bd35334748f47c863859f43a00e5da5ba42d16e718d3d247a4d59"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import dataiku\n",
"import numpy as np\n",
"import pandas as pd\n",
"from pandas.stats.moments import ewma"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Start with getting some (fake) data - should be a time series\n",
"df = dataiku.Dataset('iris').get_dataframe()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"df.head(5)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"\n",
" <button style=\"display:none\" \n",
" class=\"btn ipython-export-btn\" \n",
" id=\"btn-df-531f8976-23f9-48ba-aa90-8de97c3f421b\" \n",
" onclick=\"_export_df('531f8976-23f9-48ba-aa90-8de97c3f421b')\">\n",
" Export dataframe\n",
" </button>\n",
" \n",
" <script>\n",
" \n",
" function _check_export_df_possible(dfid,yes_fn,no_fn) {\n",
" console.log('Checking dataframe exportability...')\n",
" if(!IPython || !IPython.notebook || !IPython.notebook.kernel || !IPython.notebook.kernel.running) {\n",
" console.log('Export is not possible (IPython kernel is not available)')\n",
" if(no_fn) {\n",
" no_fn();\n",
" }\n",
" } else {\n",
" var pythonCode = 'from dataiku.notebook.export import IPythonExporter;IPythonExporter._check_export_stdout(\"'+dfid+'\")';\n",
" IPython.notebook.kernel.execute(pythonCode,{iopub: {output: function(resp) {\n",
" var size = /^([0-9]+)x([0-9]+)$/.exec(resp.content.data)\n",
" if(!size) {\n",
" console.log('Export is not possible (dataframe is not in-memory anymore)')\n",
" if(no_fn) {\n",
" no_fn();\n",
" }\n",
" } else {\n",
" console.log('Export is possible')\n",
" if(yes_fn) {\n",
" yes_fn(1*size[1],1*size[2]);\n",
" }\n",
" }\n",
" }}});\n",
" }\n",
" }\n",
" \n",
" function _export_df(dfid) {\n",
" \n",
" var btn = $('#btn-df-'+dfid);\n",
" var btns = $('.ipython-export-btn');\n",
" \n",
" _check_export_df_possible(dfid,function() {\n",
" \n",
" window.parent.openExportModalFromIPython('Pandas dataframe',function(data) {\n",
" btns.prop('disabled',true);\n",
" btn.text('Exporting...');\n",
" IPython.notebook.kernel.execute('from dataiku.notebook.export import IPythonExporter;IPythonExporter._run_export(\"'+dfid+'\",\"'+data.exportId+'\")',{iopub:{output: function(resp) {\n",
" _check_export_df_possible(dfid,function(rows, cols) {\n",
" $('#btn-df-'+dfid)\n",
" .css('display','inline-block')\n",
" .text('Export this dataframe ('+rows+' rows, '+cols+' cols)')\n",
" .prop('disabled',false);\n",
" },function() {\n",
" $('#btn-df-'+dfid).css('display','none');\n",
" });\n",
" }}});\n",
" });\n",
" \n",
" }, function(){\n",
" alert('Unable to export : the Dataframe object is not loaded in memory');\n",
" btn.css('display','none');\n",
" });\n",
" \n",
" }\n",
" \n",
" (function(dfid) {\n",
" \n",
" var retryCount = 10;\n",
" \n",
" function is_valid_websock(s) {\n",
" return s && s.readyState==1;\n",
" }\n",
" \n",
" function check_conn() {\n",
" \n",
" if(!IPython || !IPython.notebook) {\n",
" // Don't even try to go further\n",
" return;\n",
" }\n",
" \n",
" // Check if IPython is ready\n",
" if(IPython.notebook.kernel \n",
" && IPython.notebook.kernel.running\n",
" && is_valid_websock(IPython.notebook.kernel.shell_channel)\n",
" && is_valid_websock(IPython.notebook.kernel.stdin_channel)\n",
" && is_valid_websock(IPython.notebook.kernel.iopub_channel)\n",
" ) {\n",
" \n",
" _check_export_df_possible(dfid,function(rows, cols) {\n",
" $('#btn-df-'+dfid).css('display','inline-block');\n",
" $('#btn-df-'+dfid).text('Export this dataframe ('+rows+' rows, '+cols+' cols)');\n",
" });\n",
" \n",
" } else {\n",
" \n",
" // Retry later\n",
" \n",
" if(retryCount>0) {\n",
" setTimeout(check_conn,500);\n",
" retryCount--;\n",
" }\n",
" \n",
" }\n",
" };\n",
" \n",
" setTimeout(check_conn,100);\n",
" \n",
" })(\"531f8976-23f9-48ba-aa90-8de97c3f421b\");\n",
" \n",
" </script>\n",
" \n",
" <div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>SepalLength</th>\n",
" <th>SepalWidth</th>\n",
" <th>PetalLength</th>\n",
" <th>PetalWidth</th>\n",
" <th>Name</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td> 5.1</td>\n",
" <td> 3.5</td>\n",
" <td> 1.4</td>\n",
" <td> 0.2</td>\n",
" <td> Iris-setosa</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td> 4.9</td>\n",
" <td> 3.0</td>\n",
" <td> 1.4</td>\n",
" <td> 0.2</td>\n",
" <td> Iris-setosa</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td> 4.7</td>\n",
" <td> 3.2</td>\n",
" <td> 1.3</td>\n",
" <td> 0.2</td>\n",
" <td> Iris-setosa</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td> 4.6</td>\n",
" <td> 3.1</td>\n",
" <td> 1.5</td>\n",
" <td> 0.2</td>\n",
" <td> Iris-setosa</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td> 5.0</td>\n",
" <td> 3.6</td>\n",
" <td> 1.4</td>\n",
" <td> 0.2</td>\n",
" <td> Iris-setosa</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
" SepalLength SepalWidth PetalLength PetalWidth Name\n",
"0 5.1 3.5 1.4 0.2 Iris-setosa\n",
"1 4.9 3.0 1.4 0.2 Iris-setosa\n",
"2 4.7 3.2 1.3 0.2 Iris-setosa\n",
"3 4.6 3.1 1.5 0.2 Iris-setosa\n",
"4 5.0 3.6 1.4 0.2 Iris-setosa"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Simulate a time series\n",
"df['SepalLength'].plot(figsize=(14, 6))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 5,
"text": [
"<matplotlib.axes.AxesSubplot at 0x115105fd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
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gdEVaxQD1OpegMy6HD9Pgc9Cg7Nf5FS5CeH+NCl7mcVGxinV303djhZVNDHAf\nqNtlr3TIuAD+O4uFmXExTqq5ZIl1d7GVK+k5gH4DKhmXsH6HQcDChemFvd/6k6QYGYWLU0vk2lrg\njDPik3FJUoyi5MgRYMIEYPfuYLfL8dEf1RoXKRhUhUvQNS52A22AssTHjnmbOHftWuAzn1FfX5We\nHho8WwksK1SK81Opattzcnu7tXBxm7fE7vscMoSESy6D6aCEi24ZlxMnMsJl0SKaY0fW4VRXV6On\nB3j66YxwUc24XHUV8Mtf5rZvYcHChWGYSJDCZexY+4zLyZP0N3kyZ1wKjWeeoQv+LbfoffePiQZp\nFQO8CRc/XcXMwmXMGMqmvPeevXApKaFMgWrHMwDYskVtQl6vnDxJWZQixRGftIpZHXc9PSQiRo+2\nv5nU1pb9nQHu85bYCZfSUvrzO48KoKdVLIgJKI0ZlwkTaIqBV17JPL95M2Ump02j5cGD1YTL7t00\nWeXhw7ntXxiwcGF6Ye+3/iQpRipWsb176UIWVNvIfJCkGEXJypXAD39ImZf//u/gtsvx0R+3GHV0\nUCZD3tUP2ypmrnEpLSVRsmmTvXAByC7mZeC3fXs4hdNebGIACZzSUmsrWGMjnY9LStJoarJ+fdBW\nMSB3u5iuGZcgrGJDh2aWly7N2MXS6XQfmxigXpxfXw9cfDHwla/ktn9hwMKFYZhIUBEu8kIWxJ0p\nJj6cPEkdchYtAh55hC6ex49HvVeMLjQ3ZwrzgfxbxQA6b732mrtw8VLnsn17OIXTXjqKSezqXOQd\n/oED7Qfddt+Z2w2oPXvCES6dnfQdVFb6e70kjBqXIDMuQKbORWbLVq4kMSNRzbjU19ONo1deAdas\nyW0fg4aFC9MLe7/1JykxEiJjJ3CqcZHCJagZhvNBUmIUJatXA+efTwON884Drr4auPvuYLbN8dEf\ntxgZbWKAmnBpbyebkzkTUFrqPDeHlVUMoPNWTU3wwiWMjIuXOVwkdnUu8g7/uHH2NS66ZVzk4F7V\nKmdHGF3FgizOB4AZM0hUbtkCjBlTjYYGYN68zPMqGZfubtqvsWOBhx4iu65Ku/F8wcKFYZi809kJ\nFBcD/fo517gYhUtcrGJM7pjtDffdB7z4Yl/vNlO4GDuKAWrCRQ7ezS16/VjFADpvdXUFJ1yOHqX9\nkBMKBonfjIvVYFUWgw8aBFurmFNxvt153Km1NJCbcAnCJgaEM49L0BmXVCqTdXn6aZq7xSjYVIrz\nZevsoiIukHKYAAAgAElEQVTg8suB2bOBb30rt/0MEhYuTC/s/dafpMSotTVzYRs6lC7YVifwOFrF\nkhKjqOjspM44ixZlHhs8GHjgAWD5cvsWrKpwfPTHLUbGjmKAunAx17cAuVnFAPuBNuBNuGzfTnfL\nKyqCz7qEYRVrbk77Ks63O48fO0axsIoRoI9wCdIqFsQNOWNXMcmSJcBTTwGPPprucwMIUGuHXF/f\n11b3wx8CP/kJsG1bbvsaFCxcGIbJO0YrQSpln3XhjEvh8cor1EVu/Pi+jy9ZApx+OvDd70azX4w+\n+LGKWXUUA3ITLiNGOLcY9ipcpk9Xn2fDC0FbxYYNo+e9WsWcMi5ONjFAH+ESZMalrIyey2W+KnPG\nBaCJKI8eBd5/HzC7LlUyLmbhMnYs8PWv040jHebWKo56Bxh9YO+3/iQlRuYLm5yJ+vTT+64nL2Zt\nbfHJuOQjRj/7GXDRRcCUKaG/Vd4xF5NKUinyW8+ZAyxbRq0//RDlMfTkk8App1DdDmOPW4z8WMWs\nCvMBtXbIVlax8eOBSZOc33PkSO8Zly1bgi/QDyPjUl5e7dkq5jTwd7KJATSQPnHCdbctCUq4BF3j\n0q8ffU+trfTd+MHcVUxud9Ei4OTJ6qzfrkpxvlm4ACRaHnsMWLAg+zj6+MeBu+7yt/9+YOHCMEze\nMQsXq85iJ0/SRWLkSLIRcMYlw3//N13okiZchCDhsnq19fMTJgDnnAO8/bZ/4RIlv/89xYyFS27Y\nWcWEyK5hkQRtFVuwgDKDTnjNuFx4oXq7Wi/4ES5OGZcxYzJzbFlhZxVzyrjs3Jl948pIZaW3RgdG\ngsy4eJmXB6DfZGsrCUG7bTY35yZczBkXAPiP/7CulVL5fVkJl379gFWrgPXr+z5+8CBw//35FS5s\nFWN6Ye+3/iQlRirCZe9eugOXSnGNi5mGhnDapkbNli00YJo+3X4dr52azER5DB06RANUxhm3GJmt\nYgMHUrMPp3OE34yLnXApKQGmTnXcTd9WsaCPbT9WMbeMy6FDzjUuXjMu8vPbEVermBRxdh3Ncrm2\ndXfTsWAlyIcMAf72t3TW434zLgDdRFy8uO/fDTeQJS3X2kMvsHBhGCbvqAgXo+e5f38q2g66205c\naWwMp21q1MhuYnZ3zYHchUuUsHAJBrNVDHC3i/nNuNhZxVQYOZImUHWrC2hrA/bvp1nPdc+4yGLw\ngQO9dxXr358G21btp6VVzg4dhIsfq5idTUySS/1mfT0JkX791F/jN+NiR2kp3WB87z31fcgVFi5M\nL0mpn0gySYmRXY2LEaNwiVPWJR8xSmrGxdwG2Qqvs5GbifIYOnQI2LWLBbgbKjUu5qJ4N+ESdMZF\nhQEDaNDqVpuxezfVy5SUhJdxCbrG5ZxznOdxsfrOUinrrIUQJFymTbPfHx2Ei5+uYm7CJZfrmlVH\nMSNWx5Gf4nw3pk/P7w0ZFi4Mw+QdrxkXgDuLGUmicNm9mwYY8+c7rxfXjEtHR2ZStz17ot6beGO2\nigHhZVxyES6A2u/VaJNSGVh6panJn1XMqatYRYX3rmKAtXA5cIAG9+YicyO5CJcjR6KzioWZcbEq\nzHejooJ+D0LYr+NHuLz7rrf9yAUWLkwvSamfSDJJiZGqcDF27YlLxiXsGLW301/SrGIrV2ZPlmZF\nXGtc5OBp5sz8XuTjiMo8Ll6tYnbtkEtKwrOKAWoZQqNwCaMdctDF+UOHArt3pz1bxQDrAn23+hZA\nj4xLGFaxXK5rdoX5EqvjqKSEhLjTe9bXexNEM2ZwxoVhmIRjFi5jxlB3EqMXfM+e7IxLHIRL2MhB\nTdIyLio2MSC+GZdDh6jmId+2iiQSF6sYoEfGJYzifLd5XOy+M6vzeFyEi44ZFyfhYoebHZGtYkxs\nSEr9RJJJSozMwmXAALojaBx46GIVa2gA9u1TXz/sGEnhkqSMy6FD1OL44ovd1/UyN4YVUR1Dhw7R\nIJaFiztuMbLKIIRhFevpoXqkkhLn/XVCVbjIwnSdi/NbW6lOZeBA4KKL7Gtcwsi4DBlCA2oni5MV\nra3UDMDr57dCtxoXN+Fidxy5/ca8Cpdp0yiGXmPjFxYuDMPkHSsPtNEu1tREJ/yqqszzUVnFnniC\nZg3WhYYGGjwkKePyzDPApZeq3dmuqqILdnd3+PsVJFK45NtWkUTylXGRNjGnLnduuAkXIYAdOzKF\n6WEU5wc1AaVxoDxokH1XsTAyLqWl7hYnK44do99GLjGU6NZVTJeMy9Ch9DnMDXbCgoUL00tS6ieS\nTFJi5CZc9u6lbIvxYhNVxqW52f4CbUXYMWpsBEaPTlbGRdUmBtB8HZWV3ieCk0R1DJkzLvm6OxlH\nVGpcgirOlzUuVvHI1SYGuAuX/ftJVMh9CyPj4scqZpVxMQ6U33zT+zwugP+MC+DPLhaUTQwIzyoW\nVlcxu+PI7Td24oQ34QLkN5PMwoVhmLxjdWEztkQ228SA6DIuLS16dTNraKBZ45OScWlqAl55Bbjs\nMvXXxLHORQoXeff3yJGo9yi++LGK2RXn9+tHf1YtqoMQLm7WRvOgPeiMixDWQs8Nt4zLgAG0XTvB\np9pVrKmJsiKnnOK+TzoIlzCsYvnsKga411F5zbgALFyYiEhK/USSSUqM3DIuVsIlqoxLa6s3wRR2\njJImXF54AbjgAutBpR25CJeoa1xSKa5zcSOMeVycsg52drFcO4oB7r9Vs3AJuji/pYXEV3Gxt9fZ\nZVzkQPmSS6pRUmLdeczJKma+AbVzJ3D66e7dBIHohUtJCQk1p2YOZsLMuPitcXHqXNfVRfvj1Vqo\nnXCpr6/HVVddhRkzZmDmzJnYsGFDn+fT6TSGDBmCOXPmYM6cObjvvvtC2VmGYZKBH+HCGReisZEG\nQ0LQnc24s3IlsHSpt9fEOeMCsHDJFa/CRQjnuUxKS61nc8+HVcwq4xKkVcyPTQywnsfFbE2ym8vF\nbR4X42tUbWJA9MLFbgJNJ6IszrfDSRzL34uKkDSinXC54447sHDhQrz77rt46623MEO2vzBw0UUX\noaamBjU1Nbj33nsD31EmfJJSP5FkkhKjJGdcwo6RtLyE0TY133R0AM8/Dyxa5O11KnNj2BF1jQvA\nwsUNpxhJEWIWLsOHk+XIyrp08iSdb/r1s96mXcYlSOFiV9Nkl3EJqgbKT2E+4G4VS6fTtjYnL1ax\nOAkXwLtdLMrifLvjyMmO6McmBmgmXBoaGvDqq6/ixhtvBAAUFxdjiEVOX3ClIcMwisStxkWn+WPk\nHbEwJqrLNy+/TN2Uxozx9jrOuBQu7e0kQMwWrpISGgRaDcjsCvMlTlaxXIVLeTnZtOyOVfPAvbSU\n1m9ry+19JY2N/oSLW3E+YN9ZzM0qZhyov/tu/ISLLhkXt+J8O5yK8/0Kl1NOoRsHXhrZ+MVVuOzZ\nswdVVVW44YYbMHfuXNx0001oMcnNVCqFdevWYdasWVi4cCG2bdsW2g4z4ZGU+okkk5QYxS3j4uV9\n81HjkpSMi5duYkbiVuPS1UWDDDmAYuHijFOMnArNR4ywbnpg1wpZ4pRxybXGBbD/vTY20r6NH9/3\n8SAL9J0sck64ZVyqq6t9W8XinHHx2hI5rIyLEO7F+U7zuASdcSkqolqlnTu9v9bze7mt0NXVhS1b\ntuDWW2/Fli1bUF5eju985zt91pk7dy727duHN998E1/60pewxM+ViGGYgsHqwjZiBF1kjx7NnsMF\nULsz9cILwL/9W7D76tUqFjZJybj09EQjXKLg6FEaYMgC6UmTgA8+sC5sZpxxsj7Z1bkcPEhWMjvC\ntIoBdDe6pib7cTl/i7meIMiWyNu3+xu4uxXnA/YdsVQnoOzqAt57jwa8KuggXIK2ivnNuDQ3U5bR\nz+/T6drhV7gA7jdkFi8G3nzT37aNuPaZGD9+PMaPH49zzz0XAHDVVVdlCZcKw1nksssuw6233orj\nx49jmCmHtWzZMkz88DZqZWUlZs+e3asIpRePl6Nb3rp1K+68805t9oeXs5flY7rsj9/lffvS2L0b\nAPo+P3p0NdatA6qq0nj55b6v37MHOHnSefs7d1bjzTeD3d+WFqCjI401a6iTjtv65lgF8X0Zlxsa\ngPffT6OzE2hoCH77+Vp+911g8OBqTJsW3O9H5fVhx8dq+dln0ygvz+zvX/+axqhRwK5d1Tj7bD3i\nodPyD37wA9vxwcmTQCqVRjqd/foRI6px9Gj29lasSGPyZMDu99LRkcZrrwHTp/d9vqurGv375/55\nLr88jdtvBz796WoMGpR5ft++akyfnr1+KpXGSy8Bp5+e2/d55pnV+PrXga9/3fr7clo+cQJoaen7\n/PHj1Rg2LDNeGDToTjQ1Zb++vj6Nmprs77O6uhrl5cDevbQ/48dXY/RoYONGtc8zdGg1duzw9n0c\nPQrU1nr//HbL5eXAunV0/lVZv6UF2LPH/v3Ly4HDh73v36FDwLBhzuvLx8zP19bS9dTqeKivB1pb\n/X1f06dX4913rZ8/cgRYtaoan/gEcOJE9vNbt25F/YeqtLa2Fo4IBS688EKxY8cOIYQQX/va18Td\nd9/d5/mDBw+Knp4eIYQQr7/+ujj11FOztqH4VkyErF27NupdYFxISowuvVSIZ5/NfvwjHxHiX/5F\niIULs5978UUhLrnEebtf/7oQ8+cHs4+S888XAhDixAm19cOO0Uc/KsTLLwvxuc8J8eijob5VqNxz\nD/354f33hRg71t9roziGVq8W4hOf6PvYlVcK8dvf5n1XYoFTjNatsz/Gr79eiJ//vO9jPT1CTJ4s\nxJYt9u93zjlCbNqU/fif/iTEZZe57q4Sn/ucEP/8z30f+9d/FeIb38he9xOfEOLPf879PW+4QYg7\n7vD32qYmIcrL+z42d64QmzfT/9euXSu+8AUhfvGL7NeOHi3EgQPW2129WogFC+j/zzxD1wJVfv97\nIT7zGfX1hRBi3Dg6XwTFokVC/PGP6utffrkQq1bZP79vH+2jV2pqhDj7bOd17I6j9euFOO8869fc\nf78Qd97pfX+EEOKJJ+zj8+MfC1FRIcR116lty0kzKHX2fvDBB3Hdddeho6MDkydPxs9//nOsWLEC\nALB8+XI8+eSTePjhh1FcXIyysjI88cQTKptlNEOqX0ZfkhIjOw/0uHHAa68BZ5+d/ZxKSr2+3v+M\n6nZIW8DJk2op9LBjJAuNw5hhO5+sXAk8+qi/144cSbUMPT3e23ZGcQwZC/MlXOdij1OMvFrFtm2j\nVsezZ9u/X2lpuFYxAPje94AzzgA+9zlgzhx6bPt24JprstcN4thOp4E1a4B33vH3elnjIgS1AQay\na1x+/3v7Ghe7781Y4+KlvgXwbhUTgn4PTjZBr3gtzm9uDqfGRaUVst1xFEaNC+B8Tlu5ErjrLuDx\nx/1t24iScJk1axY2bdrU57Hly5f3/v+2227DbbfdlvveMAxTEDgJl2eesW6Pq3KCD0O4tLbS4FiX\nOpckFOfv2EH7Pm+ev9f370+/hxMngh2UhIWdcHn++Wj2J864Feebj/+nnqI6Kjn4tsJOuATRVUxS\nVQV85zvAF78IbNhAndHsOmrlWpzf3g4sXw48+KC/jmIA7V9xcd/vwEtXMZUal+3bgQ+rEJSorKRj\nXpXmZvocTsLBK2G0Q/ZzbfHbUQxwb4dMtkrvTJ1KNUtdXX0nPK2vB9avB373O+A//5P23ampgBse\n71UxScboi2T0JCkxsruwjR1LF11zRzFAPePS0OBtZmM3WlpocKx6VyzsGCWhOP/pp6lQ02u2xIjf\nAv0ojiEr4TJjBg1cmWycYuRVuKg0gCgpCbermOSGG2gQ+6MfURbo73+nwZ6ZXDMu3/kOMHMmHWO5\nYCzQ7+zsO6N6Op227ComJ8bVIeMSdGE+EHxXsdJSEtVer1luHcUA++MojHbIAH3O0aOpK6iR554D\nLrqI3nfuXGDzZn/bl7BwYRgm7zhlXABr4aKacQGon3xQtLbS3VIdMi5CZIRLnDMu8i54LsSps5iV\ncJk2jVqH9vREs09xxYtVbN8+GkRdeKHzNvNhFQNogLpiBfCNbwCvvkrnO6vzYC4Zl+3bgYceomxL\nrhhbIssBrfFmg1VXsc5OynLYTfYZd+ES9Dwucpte7WIqVjGn92tvp1iZyUW4ANZ2sZUrgaVL6f/n\nnguYDFyeYeHC9JKU+okkk5QY+REuqhmXVCpYu5hszax6YQkzRs3N9L0VF8c34/LBB3Rhy/VrGjUK\nOHzY++t0qXGpqKA7pvv25X13tMcpRl4yLk8/DVx+eV/bihX5sIpJpk8HbrsN+Pzn7QftfjMuQgA3\n3wz8n/+TPTeMH4wZF7M1qbq62tIq5mQTAzJi5+hRoLub6tVUkTdrVOc7P3IkHOESpFUM8NcSOZca\nl1SKzj9WNr+ghUtbG7B6NXDFFbR83nnAxo3+tw+wcGEYJgLa2uhunplx4+gkb3WxKSuji4DTHer6\nerpgByVcpO1h+HA9Mi6yvgWIb8Zl1Spg4cLcLThxz7gAXKDvByfhUlXV99hXzew5ZVyCtIpJ7rmH\nPoOdcPGbcXn8cTpPBVVybMy4WA2UraxiTnO4ABkxtG0bfX6n2iMzJSW0bdWbSEEX5gO0/15i4zfj\ncvgw8Nvf2r8ml4wLYH/9CFq4vPQSNduR87JxxoUJlKTUTySZpMTI7q7c5MnAn/5kfTErKqILqdOk\nfSdOAFOmBCdcZHccuxmirQgzRsYZwIOcXTufvPIKsGBB7tuJe40LwMLFDqcYqVrFjh+nAdInP+n+\nfvmyikkGDCDf/4fTpmXh96bESy8BN91kb9PyijHjYh4op9NpS6uYU0cxIHMef+MNbzYxiRe72LZt\n1jVEufCpT1GR+QcfqK3vN+Ny++3AP/+z/WtUhIvTcWSXsQ9auJhvHkycSMdaXZ3/92DhwjBM3rET\nLkVFwMUX27/OyQvc00Mn4tNOC064tLTQRdbv7MZBI1shA/Fth7xxI9kFciUuGZeeHrKsWFliWLh4\nxynjUllJx0RXF/Dss8AnPqHWUSqfVjHJ5MnAhAnWz/k9tg8cCMYiJnHLuPixigF0Hs+HcNm0KZhz\njZGZM6kz3B13uK/b2Ul2OLesnfm69vzztO/19fa/g1w7c+Uj49LdTRl2Y5OIVCr3rAsLF6aXpNRP\nJJkkxMit64wTTgKiqYkuAKNHBydcWltp4OOlIDPMGMXdKnb8OHDwIHXUypWRI/0Jl3wfQ8ePU4bA\navDCwsUavzUu/fplWuaqdBOT5Nsq5obfbGpdXaZOMAiMGW5zF6vq6mpfVjGA4rd5c7jCpaeH3sNL\nu2VV7r0X2LKFxLET8vrhZoczXteam4FbbwUefpgaeOzYYf2aXGpcAOvfWFdX385xfhg5kgTL0aPU\n9nvUqOz2yrnWubBwYRgmr3R0kFfZTytcp4yLvFNk1RLVLzLj4neSsKCRHcWAeBbnb95M7TCDsLLE\nJeNiZxMDWLj4wckqBtDxv28fTb4oC4LdyLdVzA2/GZe6OmopHxROVjHAuquYm1UMoPPpzp3hCpdd\nu2hdL8X/qgwcSMLittucb2ip2MSAvteXr38duOACsjg6nR+CqHEx/8bk9SWXNvWpVGa/jd3EjHDG\nhQmMpNRPJJkkxEjFSmCHU+YjDOEi75h5sYqFXeMiMy6DB9MgLk7tdDdtCu4OaFxqXJyEy7hxNGDx\n0uK1EPA7jwtAx/9vfkMCWbUwu7TUujVsVMLFT8altZXOUUF20TJaxcxdxWSNi9kqpppx6dePbL1e\nURUuYdjEjPzDPwAf+xjw7/9uv46qcJHXlzffBB59FPj+9+nxXIWL03FklbHP1SYmmT6d5qiya45x\n7rl0E8vvtYuFC8MweSUX4eIkIAoh42Iszu/Xj/ZNh/1SJcjBhBQuqq1Ro8JJuKRSznYQJhsV4fLL\nX3qbJ8ipxiUKq5ifjMuBA5Rt8dKlyw23jIuVVUw14zJ1KmXevaIqXDZuDMcmZuR736Pf2tat1s+3\ntNBndaO8nOL9xS8C3/pWJktkJ1w6OkggOh0Hblhl7IMSLjNmAE8+STcDZs/Ofn7kSPqN797tb/ss\nXJheklA/kXSSEKNcMy75tIr5ybiEGSNjcT4QvwL9IAcTZWU08PH6+fN9DB0+7GxXYbtYNk4xUrGK\nHTnibdZ43axi8nzT3a3+mqDrWwDn4vzq6mrLFvWqxfl+bGKAPhkXgI7rb38bWL7cOlZerGI/+hH9\n1m68MfO43blBZr/cRKrTcRR2xmX1arp5YLePudjFWLgwDJNXws64mOdysENl8sLWVn0zLoBeLZHd\nBhN1dXQHzmpyUb/Eoc7FKeMCsHAxI4RzTFUyLrNne/ud6SZcioqsO3Y5EXR9C5CdcTF3sZJZX+M5\nWdUqFqZw6egA3nqL7IJhc8MN9Bt5+OHs57xYxfbuBX7yk771JVOnAn//OxXNG7GKhVesrh1BChfA\nOeuZS4E+CxemlyTUTySdJMRIl4zL3LnA/v3O6/hphxxmjHTNuBw8SN3cDhywX0dmW4K0sowapSZA\njehU4wLQvEN+LRNJZPNm4Pzz07bPuwmXj33Mfn4UO3SzigHej+18Z1zkcWS2i6lYxaqraT4UP6gI\nl7ffBiZNyq07lipFRZQtue++7JoNVeHykY8ADzxArZaNDBwIjBkD7NnT93HVwny3GpewrGKnnQZc\ndx1w4YX263DGhWGY2BB2xqWsjC4g8oJrhZwAy+0CaGyHrEvGxSxcdMi4PP003Wldtcp+nTCsG0nI\nuIwerf9nyCd795IAtqpdEoKOfyfh8ulPA9df7+09dcu4AN6zqQcOBC9cjBkXc3G+xNxZTOX8ftNN\nwEUX+dsnFeGSj/oWI2edRbaxDRv6Pq4qXBYsAG6+2fo5q4xsrh3FgHAzLsXFwK9/Tf/acc451IzA\nqimGGyxcmF6SUD+RdJIQo7AzLqkUZV2OHbPfzsGD9K9bFsVPxiXsGhezVUyHjMvKlcBVV9G/doQx\nmPAjXPJ9DLkJlziIr3xy4ADQ0VGNI0eyn2tpISER1MzwEh2Fi5+MS9BWMTmPixDZEx7K48hsaVOx\niuWCinDJR32LmSVLss9/qsLFiVyEi1uNS1gZFxUqKsjO+fbb3l/LwoVhmLwSdsYFcLeL1dXRv25Z\nFM64uNPYCLz2GvDDHwLr1lnvT1iTwcVh0M/CxRvy2KytzX6uqSm3Tkp2OFnF4pJxCdMq1tRE/7fq\nAubHKpYLqsIlnxkXgITLU0/1zRQGIVxmzKDWwkaCyLiEWZyvit86FxYuTC9JqJ9IOkmIUdgZF0Bd\nuISRcQl7HhfdivOff568zGPHAh//OC2b2b07nMngRo70PujP5zEkBNXgOAmXoUPpd9bWlrfd0pq6\nOiCVSmf5+gE69sOoW3DKuMSlxiVMq5jVQFkeR2arWNQZl+Zm4L33gLPPDm8frJgzhz67UWSElXEx\nZ7/scDrX2bVDzrXo3wt+61xYuDAMk1fimnFRFS5homNx/sqVme4x8q6jmbA857pnKxoaaOA7cKD9\nOqkUCTCvTQaSyoEDVNxrlXFxK8z3S0mJnlYx1ZsSQmTmcQkSmXFx6mJltorlcn5XwU24bNkCnHlm\n/gVnKpVtFwtSuBgzOZxxYZgPSUL9RNJJQozCzLjIi6ubcJHdr9zEiGyHLL3eKjP9hhkj3TIu7e3A\nCy8AV1xBy1dcAbz4Ij1uJCzPue41Lm42MYnuAiyf1NUBn/pUNVvFPBzbx47ROSrXQbIZmXGxKsyX\nx1G+rWJywG038ezGjfmvb5GYb9wEIVxGjCBRZKz5CqLGRf6+jN9jvoXL2WdTdszrTUEWLgzD5JVc\nhUtQGZehQ90zLtIqVlSE3snWoqKzkwZSxpmYo864rF1LLTxHj6blUaPobudLL/Vdr1AzLixcvCEE\nHZsf/ah9xoWtYtmEUd8C9M242A2U820VKymh7dudu6Oob5F8/OM078q+fbQchHBJpbLtYkFkXEpL\n6buUXeMAEqj5FC6lpcAZZ1CWzAssXJheklA/kXSSEKNcrWKqNS5WXYkkdXXAtGlqGRd54VEt0A8r\nRrKjmHEeFD/F+UIAV15pPVDzitEmJjHbJTo7aTK4c87J/f3M+Bnw5/MY8iJckmQVu+YafyJfDtTb\n2tJ5tYrp2FXMS8YljPoWQL3GxWwVC/s7Gz6c7tRbEWXGpbgYuPzyTFv4IIQL4F+4uJ3rzL+xfGdc\nAIqV1zoXFi4Mw+SVMDIuPT108ZQ2KhWr2Omnq2dcAG8F+mFgboUM+GuHfOAA2RmcJotUoaeH5m+x\nEi5PPw10d9Py229T28sw7pRXVND76FB/ZEUhZlxaW4Hf/tafEJMD8NGjaT4Xsx2okKxiccm4WFnF\nwsy4AMAddwB33ZX9+zh6lGxzp58e7vs7YbxxE7VwccP8G4tCuJx7rvc6FxYuTC9JqJ9IOkmIURjF\n+U1NJGrk/A5OwkXaUU4/PZyMS1gxMrdCBvxlXOQFMFfhsnEj3fmcOrXv41OmAFVVwOuvZ9YL6w5o\nKuU9W5HvGheVTmpJEi4yU+Kn9koOwBcurEZZWXZcC8kq5iXjEsYcLkCmts+qON84j0s+rWIAcPvt\nZGv61a/6Pr55M2V2iyIc2X7yk3TuO3EiPOGi2lXM7VxnvH50ddH+hnFjwAnOuDAMoz1hFOeb7xQ5\nCZfGRhrwjhmj3g4ZiD7jYi7MB/wV58t2nbKzml+sbGIS413HsD3nOg/63VohS/y0ddaVIIQLAEya\nlF3nUkhWMS83JcLKuDhZxSRRWMWKi4FHHgHuvrvveT5Km5ikvBy4+GLguefCES49PfS7CCIzYszY\nyxtj+RZ906ZlMmWqsHBheklC/UTSSUKMwsi4eBEu8iKvkkHRrcbFKuPi1Sq2fTsN1MIWLnIytrAH\nE16Fi641LkkTLn6aRsiWvul0GhMnZguXfFrFhKDH4lCcH1aNi7SKWXUVk8dRFFYxAJg3j2qpvvrV\nzA8YxWsAACAASURBVGNRFuYbkee/oITLpEnABx/Q9aihgY6B4mL317md64ziOAqbGEBC6ZxzvGVd\nWLgwDJNXWltzz7iYvc3mk+7w4SRcrFpmysGRytwsScy4bN8OXHBBbsLl3XcpDnYF93Pn0t3qTZvC\nnwxO50F/IQuXXDMuVsIlTKtYZ2ffxzo7aXAYle1IJ6vYsWP6dBUz8s1vAn/5C5BO5+cmiSqXXw78\n+c/0vQUhXIqLaW6jXbuCq28B+v7GohIugPeJKFm4ML0koX4i6SQhRrnckSspoToW891R80l3wACy\nKxgtDBI5OHLqUCaR87gA0de4WGVcysoybZJV2b4dWLAgtxoXmW0xdjgzIidj+7//l9pdhnnX2qvN\niudxCZfaWv9tuuWxWV1dbStc8pVxidImBuhRnF9SQsfyoUP287hEYRWTVFQADz4ILF8O7N5N+zp+\nfH7e24mqKmDOHGDbtuDm1pF2MS/CRaXGRf7GohQuXieiZOHCMExeydVKYCUgrE66dnYxo1XMS3G+\nDhkXs3BJpbwNcJqayPZx/vm5ZVxWrgSWLnVeZ8kSmowy7DugOg/6VYXL8OEUX/Nd/zhSW0sZNr8Z\nF5k5iNoqFmVHMUA949LRQec/lSYQfigry8x7ZYXZKpbPjAsALF5Mc0lddx2da+xupuQbaaMNSrjM\nmJERLiqF+SroYBUDMhkXu0lFzbBwYXpJQv1E0klCjHIVLlYCwo9wUcm4GK1iYde4nDxJEzraYdUO\nGfDWEnnHDuqmNn68f+FSV0d3Nz/+cef1LryQLrBhe851rXGRlkaVgXa/fiRenOYe8kJdnfdOPUEh\nhYvfGpdx4+xrXPLZVSzKjmJA5hzZ3u683gcf0DEgOyoGzcCB9L07zeMSRY2LkQceIPuqDvUtksWL\n6d+gMy5W9UZ2qMzjokPGZcIEOlfKiTvdYOHCMExeiTrj4qXGxVycH2bG5d/+Dbj+evvnrTIugLfu\nQ9u30wVw3Dj6HlTvcBlZtQpYuJBsJE6UlAA/+xn5vcNE14yLzLao3gEO8nM8+ST9nvJNSwsNhE4/\n3XvGpbuburCNGUPLp56aPZdLIVnFALVjO6z6FklZGX0/dgPwKK1ikgkTKAu8bFl+39eJSZOARx+l\n61AQ+LGKuaFLxiWV8tYWmYUL00sS6ieSThJiFIRwyUfGRYi+NS6qVjE/Mdq0iSbtO3jQvl7Fqjgf\n8FbEK4VLRQXdofVj53HqJmZm6VLKJISJ1wF/vo4hVZuYJEjhIjMufoRpLuzdC5xyCh2LXn9bso6i\npIRiNGgQHevGuVwKySoGqB3bYdW3SAYOpLiYBbg8jqK2ikkWLCABoxPXXx9cc4dp0yhjfvRocDUu\numRcAG8TUbJwYRgmrwRhFctHjYu0isgLj6pVzCtdXcAXvwj853/S3eb9+63XsyrOB7zVuEjhAtB3\n4NUuVl8PrF8PfOpT3l4XJl4noMwXfoRLUJ/jwAGK1e7dwWxPldpaqk3xU5xvlTkw28XCsoqVlJBQ\nMQq9qK1igNr3GFYrZIkULk7Pd3TQeQyIJuNSCFRUkPX2zTeTl3EBOOPC+CQJ9RNJJwkxijLj0tVF\ng8PRo2lQIudqsMJY3wKoZ1y8xuiBBygrcd111gXJkiAzLgANEr0Kl+eeAy66KP+zKzsxdCjFyq0W\nQJKvYyjqjMuIEd469QSBUbh4zbgYB+AyRlbCJYzfXr9+dIOiuzvzmA5WMdWMS9hWMauBsoxRKtX3\npk4UNS6FwvTpwLp1wda46CJc5s0DNm+mCTbdUBIu9fX1uOqqqzBjxgzMnDkTGzZsyFrn9ttvx9Sp\nUzFr1izU1NR43mmGYQqDMIrzT5xQEy6HD5NIkG0+nbIuxvoWIJyMy969wLe+BfzkJ7Q/TsIl14xL\nVxfNqTJ1Ki3LOhcvqHQTyzepFLUf1S3rErVwWbQo/wX6Urh4aRghsbI8TZwI7NmTWQ7LKgZksi4S\nHaxiKsd2Pqxibl2sjHaxqKxihcD06WQnDrKrmC5WsREj6Dy+Y4f7ukrC5Y477sDChQvx7rvv4q23\n3sKMGTP6PP/cc89h9+7d2LVrFx555BHccsstvnaciZYk1E8knSTEKMrifPNF3imLYqxvcVvXiGqM\nhABuuw348peBKVPoMbeMSy7F+Xv2UKZJijGvVrG2NmD1auCKK9Rfky+8DPrzWePipUWt1/lo7BCC\nBOmSJfHKuBgzBzJGxuOhu5t+g0F1aTJjrnPRwSqmknEJ2ypml3ExHkfSvtvdTTdI3Bp3MP6Q2fIg\n53HRJeMCqNe5uAqXhoYGvPrqq7jxxhsBAMXFxRhiunquWrUK13/YDmf+/Pmor6/HIR3bvDAMEzlR\ntkM2CxenLIrZKhZ0xuUPfyAx8dWvZh5zy7jk0g7ZaBMDvFvFXnqJ2txWVam/Jl/o2FksqoxLYyPZ\nnqqryQ+fz7lhamupm5IX+6LEagBuPB6am+kYDGsmeyvhwhkX9xoXINNZTH5nusylkjS8Chc3dCrO\nB9TrXFxPAXv27EFVVRVuuOEGzJ07FzfddBNaWlr6rFNXV4cJhnYO48ePx367ClNGW5JQP5F0khCj\nKDMushWycVuqVrEga1waGoA77gBWrOh7V9dOuAhhX+OienfbLFy8Zly8dBPLN16yFbkcQ041UWYO\nH45GuMjMRUUF/Z7efjv3bapitop56WpmHIDLGE2alDkewrSJAfoKF6djW4joa1yAjFWMbWLh4lW4\nuJ3rBg2iG3Td3XoIFzkRpRvFbit0dXVhy5YteOihh3DuuefizjvvxHe+8x184xvf6LOeMJ2hUhaS\ne9myZZg4cSIAoLKyErNnz+5NZckvmJejW966datW+8PL2csSXfbHz3JbG7BxYxr9+/t7/aBBwLZt\naaTTtNzTAzQ2prFlC7BgQWb9EyeAo0f7vr6urrp3gjsAGDSoGidPWr9fTQ0wcGBmed8+4OTJYL6P\nZcvSmDMH+NjH+j4/aVI1amuz13/hhTSKioDS0uztDR4M7NyZ+T7s3n/tWmDx4szywYPAgQNq+/uX\nv6Tx+98Db7wRzOcPerm7O41XXgFuvDHc99u3rxp/+hNwyy3u6//978CoUerbP3oUOHQo9/2tqwPK\nyuj3cO651di0CWhoCOf7MC63tgKNjdUYNQp4+eU0UimgtbUaZWVqr9+5Exg3jpa3bt0KgPZ/715g\n7Vo6/ioqwtv/7m6goyOzXFMD9O8f3vupLA8eXI0jR+yfnz27GkVFwJYt4e3PWWcBTU3Z5xfjeKG9\nPY3164Hp06vRv3/054OkLl90UTUWLADefpuOF7f1JU7bHzQIeP55Ov9UVkb3+bZu3YrDh+uxZQvw\n+c/XwhHhwgcffCAmTpzYu/zqq6+KT3/6033WWb58ufjNb37Tuzxt2jRx8ODBPusovBXDMAmnp0cI\nQIjubv/b+P73hbj99szyiRNCDB6cvV5npxDFxX3f6/rrhfjZzzLLl14qxLPPWr/Ps88KcdllmeW6\nOiHGjPG/35L162k7x49b73NpqRDt7X0fP3BAiFGjrLe3apUQplOyJRdcIMTLL2eW9+1T/zx//asQ\nZ5+ttm4UPPmkEJdfHv77XHGFEOec475eT48QAwcK0diovu2ODvq9dnX53z8hhHj0USE+/3n6/0MP\nCfFP/5Tb9lR55x0hpk3LLI8cKcQHH6i/fsgQIY4ezX68qoq2s3mzEHPm5L6fdpx+uhDvvptZfuwx\nIa67Lrz3U+EnPxHii1+0f978nUfFNdcI8fjjQuzZI8Spp0a9N4wXJkwQYvduIYqKcrsuB8VZZwmx\naZOzZihyljXA6NGjMWHCBOzcuRMAsGbNGpxxxhl91lm0aBEee+wxAMCGDRtQWVmJUV5y5AzDFATm\nuVH8YLZs2aW4i4vJwlBfn3nMqjg/nzUunZ3A8uXA/fdbd4YpLraey8XOJgao1RMIAbz7bl+r2KhR\nwJEjmfkXnNDZJgaQN3rjxnAnXDx5ElizRq0TW0ND5venSkkJWYOOHfO/j0Bf65CXuRFyRdrEJF4K\n9Jub6dxgZYGR9slCtIq5Hdth17eoIs+j3Ao5fgweDLz/Ph2vuVyXg0KlQF9pNx988EFcd911mDVr\nFt566y3cc889WLFiBVasWAEAWLhwIU477TRMmTIFy5cvx49//OOcd57JP+b0IqMfcY9REBc2s4Bw\n8uaa61xyqXGR67oNjp1i9IMfUGeva66xf71VnYtdK2RArYBXfgfGwvqSEvp+3OoqhACeekpv4TJ+\nPBUE79vnvq7fY2j1amD+fDWx53dAGUSdi/G9zz4b2LVLrTYrV8zCxUtLZHlcSoe5MUbyeAhr8kmJ\nWbjEoR1y2PUtThhjZBQuUX9nTAaVc92QISRcoq5vkajcbHGtcQGAWbNmYZNpS8uXL++z/NBDD3nb\nO4ZhCo4ghItqxgWggfmRI8Dpp9Oyl4yLuR1ycTEN9v0WoO7ZA/y//we8/rpz1x0r4WLXChlQu7Mt\nC/PN7ysL9J0G2du2UaZo9mzn94iSVCqTdTnllHDeY+VK4Oqr6bs8eJDEkh1+B5RSuJx1lv/9rKsD\nFiyg//fvD5x5JlBTA3zsY/63qUIuGRen36A8HiZODD/jYuzAFod2yLpkXCoqMl3FOOMSL4YMofnE\ndBEu555LkzI7oUFiiNEFWSjF6EvcYxRlxqW5me6iGi1aThkXs1XM6r2tsIqREMCttwJf+QowebLz\n6+0yLk5WMbc72+aOYhKVlsjSJqZ7i1PVjjR+jqHOTuDZZ2lSR5VubH7n1hg1KveJNM3vrTo3Qq5Y\nZVxUhYs5E2qMUSFbxdwyLmHP4eKEMUaccdETlXOdtIrpIlzOOst+SgAJCxeGYfJGUMLFnHGxm0nY\nKFzkXXDjANwt42Ke7E61JbKZ3/+e6lbuust9Xa8ZF5XWs3bCRWUQrrtNTCIzLmHwyiskOMePp9+Q\nW51L1FYxowjIV52LVcZF1SqmknEpVKuYW8YlKquYEa5xiS+6ZVxKSsji6gQLF6aXuNdPFAJxj1EU\nVjEpXMx3dYFwMi7mGNXXA3feSXO2qMwobSdc7DIuJSU06HISVObCfMm4cc6D8H37aF8uvNBlpzVg\n3jzgjTdoTgIn/BxDxuYEKmIvKuHS1UXWyNGjM49FlXHJxSpmV+OS74wLW8XsMcaIrWJ6onKu0y3j\nAtDNFidYuDAMkzeitIpZXeS9FOcD/jIu990HXHEFcMEFautPnEj1MEacivMB97vbfjMuzzwDfPrT\nVN+jO8OH00SUO3YEu10hSLgsXUrLqlaxXGpc/HL4MH0PRoE8bRqJmVy7lTnR3EwDV2MzUS/F+U6Z\ng1NPpTvCjY2FZxWTEzv29Fg/H6VVzAhbxeKLbsX5AN1scYKFC9NL3OsnCoG4xyjKjIuVcPHSDhnw\nV+Pyt79lBr0qjB9Pg1fjIMop4wI435ltbaUBzqRJ2c+51bi89hpw8cVq+60DKnUuXo+hLVtIwErh\n55alAvzfCR85MjfhYvW+/foB55wTrl1s714SGEYbppeMi3kAboxReTkN4N97r/CsYv360W/P6pzT\n1UVC1Zhdyyd2NS6ccdEH1RqXtja9hMullzo/z8KFYZi8UYgZl+PH7WtwrCguJkFhbO2bS8Zl1y7g\ntNOsbWpu2YONG93vfulEGLYoc3MClYYGUVnF7DIXYde5mG1igPeMi9P3NXEi8PbbhWcVA+yP7UOH\nsrNrUcFWsfgiryterlFhM2KE8/MsXJhe4l4/UQjEPUZBCJcBA6jLk5xLI5calzAyLuYYHT9uPbGe\nE+Y6F6fifMD57radTQxwzh4cP06DI7vX6ojKAN3rMWSefNNN7Mk6Ez9zMAchXKwEgGrHNb9YCRfV\njEtPD/DBB32PTXOMJk0Cdu8uPKsYYP89Rt0Kmedx0R/VeVwAvTIubrBwYRgmbwQhXFKpvpmSOGRc\nvAqXSZOyhYtfq5iTcKmspMGalRjbvBmYO5fsKnFhzhy6M9/eHsz2du+m38/8+ZnH3ITLoUP0u/Nz\nJ3zkSLL/uE1yaoddzYPMRPndrht2GRcV4XLsGB1XTueFiRNp38O0ipWU6GcVA+wzV7rUtwAZ4cIZ\nl/ghryssXJhYEvf6iUIg7jEKygNtFBBh1biYJ6AEvNe4dHeThcLrRcGcccnFKuYkXFIp+4H4pk3x\nsokBFJ+pU4G33rJfx8sxtHIlsHgxUGS4UlZWUlalqcn6NbncCR8wgMTyiRP+Xm9nFTvlFBr479/v\nb7tu2GVcVKxiVt+XOUZy24VqFbPLuETZCtkYI2kV4xoXvVA513HGhWEYxoGgLmxGAeEkXCor6YLa\n0UF2lDFjsrfjtR2yl4xLQwNd1L1mLaysYrlkXGbMsH+tnV1s40b3tpQ6EmSdi9kmBpDYc5rLJVcL\nTy52Mbv3TqXCbYtcW5vd/EHVKqbyfUUlXHTJuOhoFTPCVrH4whkXJtbEvX6iEIh7jPKdcSkqIpvW\njh10gja/t58JKL3UuHgtzJcElXHp6aHPPm2a/WutMi5CxK8wX+JW56J6DB06RLYzq65qTnYxv62Q\nJbkIFyf7UJgF+nv2+C/Ot8ocmGMkt11oXcUA+2M7auFijFFpKZ0zmpo446ITXOPChM6bb0a9BwwT\nLkFnXHp66F+nbMSIEXRsWV3kw864+KlvAYLLuOzfTxckp9dadcmqqyOb26mnetlrPQgqs/DMM9SW\n02rw6iRcdMy4AOFlXE6epGNi5Mi+j6tmXFRqNeTvsBCtYnbHtk41LqkUicojR/QQe4w6nHFhfHPg\nADB7NvDXv0a3D3GvnygE4h6jIIVLc3NmUroihzOZk3AZOJD2yWq2db/F+cYY+RUu48ZRkXZHB+1b\na6vzoM3uruxrr9EcHm7vZR6Ey/oW47wcceHMMzMTFlqhegz95S/28wmEbRU7fNj765qb6fdiNwA5\n44zgJ+cErOdwAej32tJifWwZUalxKSsDvv1tf8eSKrpaxayO7V27gJoaYNasaPYJyI7RoEFUT8gZ\nF31QOdcNGAB861vh3hQIGhYumnDyJPngly/ve/JkmCQRpFXs5Elnm5hkxAgq1ray7xQV0aCopSX7\nOb/tkI34FS7GuVwaG+luppM4s7u7/dRTVFzuhFWNy6ZN8axvAag71KxZwBtv5LadjRv7dhMz4pZx\nicIqJt/XTmzKRhVBdxazKswH6Pc6aJB9EwOJqtD73/873A53OlvFjMe2EMDNNwP/+q/RTT5pxaBB\n1CGOhUv8uOeeeN2kYuGiCS0tdEfstNOA//iPaPYh7vUThUDcYxR0xkVVuNhlXIzbMuM342KM0YkT\n/u8SS7uYm00MsLaTtLUBq1cDixY5v9bKKhbX+haJ07wlKsfQsWM0yLerDXKrcYnCKub2vmVlJIi9\nCG8V7IQLoGYXU6lxyQc6W8WMGZdf/5puiNx+e3T7BGTHqKKCjhkdxB5DxH28YAcLF01obqYB1EMP\nAd//Ps0fwDBJI+jifFXhcuiQ/aDOquBeCP/tkI34zbgAGeHiVpgPWNtJXnoJOPtsoKrK+bXmQXhP\nD83hEmfhct55udVzbNpEFju7LFeYNS4jR/rPuLi9r7E9eFA4CReVAn1dajV0topJ8XfsGPDVrwKP\nPEIiVCfYKsbkCxYumtDcTHfETj2VUsA33xzeZGF2xL1+ohCIe4yCLs5XFS6At4xLRwfZUszWFD81\nLn66igG5Z1ysWvlaMXYscPAgCRaA/PNDh7oLHp1xyrioHENuVjm7GpeTJ4HOztwKXXO1ijmRb+Hi\nlnFpb6fnzb+1KM5zpaUUO4kuVjHjsf3VrwKf/aweNxWsalxaWli46ETcxwt2sHDRhJYWGkABlAI+\nfhx4/PFo94lhgiaqjAtgP6izyrhY2cSA+GRcuruBVavc61sAGpwNGUIdgYB417dIpkyh78Nvdy43\nq5xZ7ElkK+Rc/OJhWcUAEgg6ZVwOHKA6Daf6rXyhc8alsRFIp4E//xn45jej3iNrZKtqHb4zJtlo\ncLpggIxVDKAU8COPAF/5CqWG80VS/ZBJIu4xamvLtl/5IeyMi1VhPuC9xiUI4dLQoCZcjHe2X3+d\nLEeTJ6u9l7HOJe71LQANhOfNs866uB1DQmS6qtkhxZ65+1cQc2tI4eI1466jVcwt42IntrjGJcPg\nwXRT4eabgQcecM++5gtzjGRXKs646EPcxwt2sHDRBGkVk8ybRynhu++Obp8YJmiiyriUlGQEjNW2\nwsq45FKcP2kSTezX2Og+WCkvp++2q4uWn3pKzSYmMdZsuA3a44LfOpd9++jfCROc17PqxhaEcCkv\nJ4uiWzcuM1FYxezmcJG4CZeoJ1E0onNXsb17genTgaVLo94be1i4MPmChYsmGK1ikvvuA557Dti5\n0982Dx0CPvpR9fWT6odMEnGPUdA1LidOuAuXU04B5s61t6N4ybioTEAZxDwuAA1CjxyhP7eMSyqV\nseUIQcLFyyBHDsI7Oqh1tNvcL3Fg/nyax8aM2zGkOoeN3cSdQQzE/djFws64fPe7mbov+Td4MHXD\ntPuu3KxidvscVY2LjlaxoUOBmTOBBx+Mek/6Yo4RW8X0I+7jBTtYuGiC0SomqagALr4YWL/e3zbf\ne48sI24TgDFMvogi4zJ6NLBhg/O2VDMu/fvT8WQs4nUil+L84mIa1P3tb2r2EFnEu20b7d/s2erv\nJTMub79NmZ44TUZmx4IFJELq6729buNGtRofq85issYlV7wKl54eqrkJK+OyYwcJl/feo8G9/Ovs\npGuMHSoZlyC+ryAwCheZuQxz3hhV+vcH3nnHPQMYNZxxYfIFCxdNMFvFJOee67+t54EDNMiSRbdu\nJNUPmSTiHqMouoqpbEs145JKuWddZIyEyE24AFQ78NZb7hkXIFPEK7uJeSkQl9kD1UF7HCgvB6qr\nKWttxO0YUrXKWQmXqDIuR4+ScHW72+1HuMgJD++9l36P5qyLU2G9SnG+jjUuutjEdMauxoW/N32I\n+3jBDhYummCVcQFoEGHX1tMNeVG1m2+AYfJNFBNQqmzLKuNi10RApUAfoHWKi3NrRjBxIrUn9pJx\nUW2DbEQOwpNS3yJZsoS+D1V6eoA33lD7DqxaIgcpXMyF/06oZi78CJdf/pLEx//6X95eB8S3xkUX\nm1ickFYxzrgwYcPCRROsalwAYM4cShO3t3vfplfhklQ/ZJKIe4yCtIoFlXGxEiJ2VjHAvUBfxiiX\n+hbJxIk0mFbNuLzzDvD3vwMXXujtfWSNS5IyLgBwxRXA6tX0u5M4HUM7dtDgfvhw923rZBVTFQBe\nhcvRo8C//Iv/CQ/jVONSUtJXuOjQUUxnrOZxAVi46ETcxwt2sHDRBLuMS1kZMHUq2UW8UldH2+SM\nC6MLumZcVK1igHrGJZeOYhLZZlZVuPzqV8Dll3sfZI4dSx3M/v534KyzPO+mtlRVAWefDfzlL2rr\ne5nDxixcVOtMVPAqXFRnn/cqXL7yFeDaa/03a3DKuAgRnNALAs645AZbxZh8wcJFE+xqXAD/dS4H\nDtAFx2qGZyuS6odMEnGPURjF+bnUkMhtqRbnA+4ZFxmjoDIugLpVbP16fy1TR4ygwdpZZyXvTvPS\npX3tYk7HkJc5bMzC5cgRtToTFUaO9J5xUREAw4fT79I8caYVL71Ef7lMeOgkXOrrKcth1QiCa1z0\nxxyjigq6YaJDQwOGiPt4wQ4WLppgZxUD/Ne51NXRRZgzLowuBJlxaWgg8SK91blsK4yMS66F+YD3\njMvAgcAnP+n9fYqKaOCbpPoWyeLFwKpVat0VvWRchg+n30FrKy0HWa8RllWspCRz7DjR1kYF+Q89\nlFuHOSermE71LUB2xiVpAj5sBg1imxiTH1i4aIKdVQygwYRX4SIEXRjOO49rXJJEnGMkRHB3MsvK\naHBVUeHc1UiFoDMuQda4jBtHdzFVMi5DhpBosdtvlfdKonA57bS+LbHtjqGODmoHPWeO2naLioAx\nYzIZ7SBtT6NHA/v30zGjgqpVDFCzi91/P2XfFi1S26YdThkXpyxR1PO4sFXMHat5XFi46EWcxwtO\nsHDRBCer2Bln0My5XmZSbmigC+v06ZxxYfRA3sX00qbXjn79KLuQa30LEG7GJVfh0q8f8MorVKvh\nxg03AN/7nv/3+tGPgKuu8v96nVHpLvbWW8CUKfY3kKww2sWCzCCcdhrF/LHH1Nb38t4qwuWVV4B/\n+ie17TnhlHHxIrbyAVvFcmPcOOBPf4p6L5hCgIWLJjhZxUpKgFmzqE2nKvLun1XLTjuS6odMEnGO\nUVA2McmgQcEIl7BqXIIozgeAj3xETeyNGUMDXr/Mnu0/W6M7S5YATz1FGQy7Y8hLfYtEdmMDghUu\n/foBK1YAd9+tVkzvZSJHFeES1GeRx7uxq5vKe0Rd48JWMXfMMUqlgPnzo9kXxpo4jxecYOGiCU5W\nMcB7gb68KAwfTqJI+rAZJiqCFi7l5eFlXJzmcXGbgFISRMaFCYbZs2k29HfesV/Hzxw2cuJOIPgO\nWeecQx29vvIV5/Xa2igbP2KE2nZVhEuQ2RA7u5juNS6ccWEYPVESLhMnTsTZZ5+NOXPm4DyLysV0\nOo0hQ4Zgzpw5mDNnDu67777AdzTpOFnFAO8F+vKikEr1vbg6kVQ/ZJKIc4xaW+OTcXGziqnWuORa\nnM8EQyqVsYvZHUN+5rAJyyom+cY3qLPX2rX263zwAWXbVGu93IRLaytdj1TmslHBzi6mc40LW8Xc\nifO1qFBIaoyUTnWpVArpdBo1NTXYaHPb/6KLLkJNTQ1qampw7733BrqThYCTVQzwnnEx3jEz2hkY\nJirilnFxsopxxiV+ONW5NDUBtbXAmWd622bYwqWigjp73Xyztd3Kz/uOGEGtm+2QgiKIWjTAPuOi\nW41Lv370mbu72SrGMDqjbBUTLu1N3J5n7JF3eZxOlFOm0MVVtUWm8W6WasYlqX7IJBHnGOkuRcLV\nVgAAIABJREFUXIynsFwyLkHO48IEx8c+RuLkd79LZz23ZQvVEZaUeNum8aZQWAPxRYuoQcu3v239\nvJf6FsA94xL053DKuOhU4wJksi5sFXMnzteiQiGpMVLOuFxyySWYN28efvrTn1o+v27dOsyaNQsL\nFy7Etm3bAt/RJONmEwPoTtC8eep2MeNFwTxRGsNEga7F+cXFNGA13tHmjEvyKC4GLr8ceO217Of8\nFOYDmZtCss4kKHuVmQceoK5v27dnP+dVaLgJl6AzR1YZl85O2odRo4J7nyCQwoWtYgyjL8UqK732\n2msYM2YMjhw5gn/4h3/A9OnTceGFF/Y+P3fuXOzbtw9lZWV4/vnnsWTJEuzcuTO0nU4abjYxiaxz\nufxy93XNwmX/fvfXJNUP6YfGRrIM+K1RqKujuRiCnkU4zjHSNeMit9XcnMmy5NIOWcYoqK5iTHAs\nWQJ897vVMN+IXL0aWLbM+/ZkxqWuzludiVfGjwe+9jXgppuyZ7LftEl97hlATbgE2WTAKuNy6BC1\ney62GYFEdZ4zZlzYKuZMnK9FhUJSY6QkXMaMGQMAqKqqwtKlS7Fx48Y+wqXCMHX1ZZddhltvvRXH\njx/HMNNVe9myZZj44VTQlZWVmD17du8XK1Nahbjc3AykUmmk087rDxgAvPaa2vb37Enj/feB88+v\n/rC/uvv2eTmzfPPNaXR1Ab/7nb/Xf+pTaXzhC8Ddd+vxeXRY3rgRGDAguO2dcgowf34w2ysuTmPN\nGuCaa2j58OE0tm0DLrwwe/3ycmDfPufj6c9/TqOlBaioCO7z8nLuy5/8ZDV+9SvgzjtpubKSnm9q\nSn84UPW+/YEDgd/8Jv3hDPPh7f/MmcDUqdX4938H6uv77v9HP6p+fq+qAt5/3359yiAFd70YMgTY\nvDmNU0/NPL9qVRo0bAjv+/KzXFpa/eFEpOkP64D02j9e5uWkLm/duhX19fUAgNraWjgiXGhubhaN\njY1CCCFOnjwpLrjgAvHiiy/2WefgwYOip6dHCCHE66+/Lk499dSs7Si8VcGyZYsQs2a5r1dXJ8Tw\n4UJ8+FXb0tkpRHGxEB0dtPzyy0J89KPu21+7dq37SgVCdbUQV1/t//WjRgnxyCPB7Y8kzjH64x+F\nWLw46r2wZsYMId5+u+/yO+9Yr7tunRDnn2+/rbVr14qDB4UYMeL/t3fu4VWUdx7/npCgBAIoIYQk\nwAkkXOVqBGulxiJspYKiPtbLqlWrqdZ1ve3TddvuPttaFC9bbLGKru5quyvddctFjHjtsYhA0BAU\nAeWSo4RLEEIIIVxCMvvH6ySTOXM9Z+ac90y+n+fJA3Pm9ub8ZjLvd343b8dIvMHre2jsWEX5p39S\nlKuv9vSwvnHwoKKcdZb5+muuUZT//m/vzveznynKL3/Z9bP/+z/rvwWp+jsXDivKrl2K8thjivLg\ngykZQtqQzs+i7kI628hKM9h6XOrr6zFv3jwAwOnTp3HDDTdg1qxZWLx4MQCgoqICr776Kp555hlk\nZmYiOzsbS5YssTss0eAkxwUQ7vszzxQJpsXF5tvV14tYazXRlDku7mhrE80+J0yIb//jx4UNWMmt\nK16HinmJPuHeKlTMrgElwPyW7kRhoQjXGjs21SNxRv/+InTr9GnjUC0/QsX0Vcy8PodX9OzJ5HxC\nZMdWuBQXF6Ompibm84qKio7//+QnP8FPfvITb0fWjXCa4wJ0lkW2Ei765MqCAjGJVhTrEpeq2667\n8/nn4qEer9j78kvxrx9iMZ1tJLNw0SfcWyXnO8lxWbOGwkVWvL6HCgtFmeWZMz09rG/06CFy9xoa\ngLy82PV+JOfv2NH1M7uCAqn6O5eVxRwXp6Tzs6i7EFQbZaR6AERMgpwKFyeNKPUdnHv1Esc/dCj+\nMXYnNmwAZs3qFHtuiUZFki69XF2RWbh47XFhYn73obAQaGyUqyeJHWYJ+ooiGlr6XQ7Zj543XqB6\nXFhVjBB5oXCRAKehYoCzRpRGDwUn4WJqwlR3p6oKuOgiMUG1qr5jRjQqekL4IVzS2UYyCxetx0VR\nhMfFSrhYeVwikQhDxSTG63tI2y8rXTATLocOiWeR2bUfD0blkO1CxVL1d46hYs5J52dRdyGoNqJw\nkQA3oWJlZcDGjSKUyYx4hQsRbNggBKK2uZwbolHg299mjose2YWL6kVpbRUhlWbNCLOzhbBpbzc/\nXkND/KW0SXqhLTufLpgJFz9yT/r1i/W4+NWsM1G0woWhYoTICYWLBLgJFevfXzxYtm4138booeBk\nEh7UeEg3nDwJbN4s+iLEK/aiURHS19gojucl6WwjmYWLNm/FKr8FEGGAvXqJFw5GlJeX0+MiMX7k\nuGj/TQfMhIsfgqJvX2OPi4w5LgwVc046P4u6C0G1UaCES00NcP/9/p/n2DFgzhxvj+c0VAywz3Mx\nemumdng245e/BN580/kY0pVLL419+6flk0+A0lIhJO2+MzOiUWDECNEVet++uIcaOGQWLlqPi1V+\ni4o+J0YPhUv3YdgwMQl38zc81Vh5XLwWLvpQsaNHReXGfv28PY8XMFSMEPkJlHBZswb461/9P8+u\nXcDKleLNrBe4CRUD7PNc4gkV+9//BZ5/PuJ8EGlIUxOwahXwxhvm22zYIIQhkJjHJRyOP9TMinSO\nWZVZuOg9LnbCxSrPhTkucuP1PTRwILB9u6eH9J1kChd9cr76Ys2qwqUMOS4MFbMmnZ9F3YWg2ihQ\nwmXbtviSqd2iNvX0KmfETagYIISLncfFjXBpbga2bLEOPwsC6u+/dKn5NlVV4vsF4hMex4+LELH8\nfOYV6ZFZuGiFiF2oGGBfEplVxboXXiazJ4Nk5rjk5IhnjJoTJmt+C8BQMULSAQqXOFCFi1dv092G\nik2aJETGiROx65qbxR9dfWKw1SS8uhoYPRqIRsvR2up8HOnG3r3AmDHC62KWe6Im5gPxhYp9+SUw\ndKjIg/BDuKRzzKrMwkUb+uUkVMyqJDJzXOQmne8hr0hmjkuPHl3vFydenVTnuDBUzB7eR/ITVBsF\nTrgcO+ZdCJcZXntc3IaK9eolhIZBX9COHi56N7zVJLyqCpgxQ4Q3bd7sfBzpxp49wJQpwLhxwF/+\nErv+6FFh23POEcvxCA81TAyIP0cmqMgsXLz2uLCqGJGZZIaKAV0T9GXt4QIwVIyQdCAwwuXoUVGD\nPj/f/0aL0ai3b9PdhooB5gn6Zg+FvDzzKleql2HIkIhtc8t0Rv1u5s0Tna71fPyx6L+ilsGNJ1RM\nK1yY49IVmYWLlx4X5rjITTrfQ16RzFAxoGuCvr5BshGpzHFpbWWomBN4H8lPUG0UGOHyxRfAyJFi\ngu53uFg0Clx4obfCxW1FGrMEfTNXf0aGEHX798euq6oSQmj0aPvmlumM+t1cfjmwfHlsHw5tYj5g\nLfbM0AsXelw6kVm4eOlxaW8X1w09LkRWjITLqVPius3L8/582gT9dPG4ULgQIieBES5bt4qJt9mb\nJC/xusFgMjwugPFE+uuvRSJxaSlwww3lgfe4FBSI33XAAGD9+q7rtYn5gBB7bksa+x0qls4xqzIL\nFy89LlOmlKNPHyAz09sxEm9I53vIK/r2Ffej9qXMvn3i712PHt6fT+txSZccF4aKWcP7SH6CaqPA\nCJdt25IjXJqaxB/8iRNTl+MCiCTzPXvEGzItVq5+o4n0hg1AWZmYpE+YAOzYYR27n85oH5hXXBEb\nLqb3uADuvSZGHhdFiXfE6cmf/2zcnFFm4eLW42JVDplhYkR2QiHx8kb7rPTTE6L3uPgRjuYFrCpG\niPxQuLjkyy87e3SkMsclM1NUF/v4466fu/W4aKtorV0bwbhxwMaN7saSLuiFy9KlnaLiwAHxRrCk\npOs+bvNUtMIlJ0fYSd81OhHSIWb1vvuMix/ILlxUD4qTPi5WDSjffjvCMDGJSYd7KBnon5V+CgrV\n49LeDtTXy53jwlAxZ/A+kp+g2ihQwmXMGNEMzE/hok5MCwqEa92Lt+nx5LgAwjugz0mxKmdpNAnX\nexmMjhkE2tqEOBk8WCyfe66YoG7bJpZVz5O+GpsbgdrS0tnDJZ79g4CiiImJUcihzMJFm7PiNFTM\nzOPS1ESPC5EfvXDxs79Kv37ivjhwAOjfX94wLIaKESI/gRAup08DO3eK3AW/PS6qcOnVS0xevKhg\nFk+oGGDciNJNqJiidM3rKC8vt21uma4cOCCSpdWKYaFQ13AxtUCBHjd5KtoeLvHs7wTZY1aPHhUP\n/XQTLnqPi5PkfDOPy5Ah5RQuEiP7PZQs9C/5/A4VO3LE+TlSZaOsLHpcnML7SH6CaqNACJdoVLzl\nzs72X7jU1nqbfK0o8YWKAbHekfZ24QUyEy76t/9ffSVCmbQPkqB6XIwemGq4GNA1ZE6LG4+JNkxM\nu7/XJZFlpr5ehMhVVcV6I2UWLmecIe6f1tbEPS6HD9PjQuTHKFTMT4+LKlxkzW8BmONCSDoQCOGi\n5rcAyfO4AN6EAZ06Jd7+q54ANxQXi8mgOjH++mvxZstscqgfr+ptUcOjIpEIRo0S35/fvXCSjVEY\nxHe+I4oR1NUZJ+YD7oRHNCpsot/fS4+L7DGr9fWigWdWlvBAaZFZuIRCnWIkUY/LRx9FKFwkRvZ7\nKFkYhYr5JSrU5Hyn4Wgy5LgwVMwa3kfyE1QbBVK4fP21f+fyusFgvGFigJhsaUO77B4KBQViG/VN\nuJGXISNDdJf/6KP4xiQrRm/6srKA738feOop8ZAyemgn6nHxoySyzNTXi5KqRn2GZBYuQKcYSdTj\ncvQoPS5EflLlcZG1hwsgngMnToicyHheJhJC/CeQwiWdPC7xhompaIWLnRs+J0fU6FerXOnzOtR4\nyCCGi5k9MK+4Ali0yDhMDOgUHk6KMJiFinWnHBdVuOj7DLW3yx9+4dbjYiZcevcuZ1UxiZH9HkoW\n2melovgvXJqanIeKpbKPS3Oz+FdfqIV0hfeR/ATVRoETLmptej96Zxw5IlzIubli2Yu36fFWFFPR\nThCdPHjUiXRbG1BdLSpp6ZElQf/QIRHKpf3ZuTO2470TzL6b731P/GsUJgZ0ljTW98sxgjkuXT0u\n2mtITXaVeTKgelyclEO2akDJPi4kHdAKlyNHhLc9J8efc6nJ+X5WLvOCnj2Fx1TmFyyEdHfSXrgo\nCrB1a6dw6dVLuHjNJhWJoPZwUSdfXrxNTyRUDOicICqKs4eCOpHetk1MMLUTLDUeUvW4pLJxYksL\nMHKkEBban0mTYhtHOsHsu+ndG6ioAGbNMt/XqfhIhsdF9phVVbiUlQlh3NYmPpc9TAzo9Lg4CRXL\nyxO5Uervp2XXLua4yIzs91Cy0AoXvwWF1uMie47L0aPMb3EC7yP5CaqN0l64HDwo3sDn5XV+5le4\nmH5i6sXb9ERDxQYNEm+Kd+5053Exq6IFAEOGCNFSVxf/uBLlrbeESNF7XCoqxL9usQpRWLjQ2POk\n4kR8tLSIB/OgQV0/HzRI5FydPu1uvOmKKlzOPlv8q/bJSQfhovW42HlBi4pET6D162PXNTfT40Lk\nR/uc9Dv3xG055FShhorR40KIvKS9cFHDxLQhKMkSLjKEigGdHhIn8cPqmI36lqjxkKFQ6vNcli0T\n+Sd6wmFhB7ck8sB0YmejHi6A8P7l5ooJvRfIHrOqCheg6zWUDsLFjccF6NoHSMvJk+zjIjOy30PJ\nQn1O+p3fAgiPy6FD4v4aMMB++1TmuDBUzBm8j+QnqDYKhHAZM6brZ8kSLnl5Ivfh5Mn4j5loqBjQ\nGS7mlcdFe8xUcPo0sHIlcPnlseviES4tLWLiHO9k0olnzShMTLt/d6ksphUu2msoXYSLU48L0NkH\nSBtSqSgix4XJ+UR2srPFS6qWFn9LIQPi3s/IEOeQOc9Nm5xPCJGTQAgXNb9FxU/hou3TkZEhGl/u\n2xf/MRMNFQM632w7zXGprQU++wyYPLnrOm08ZCo9Lh98AAwbJjwYeuIRLupDOd4HphPhYSVcvCyJ\nLHvMajp7XNRKYU49LpMni0ppW7d2fnb8ONDeHnG0P0kNst9DyUR9VvrtcQmFRLiY03OkMseFoWLO\n4H0kP0G1EYWLC/yoGuWFcDn3XKCmRuRYqBXPzCgoACIRkfhu9Va5rAz4+OP4KnglytKlwLx5xuuG\nDRN2cFM4INFuzYkKl+7icTl2TCSrq5WJJk0CtmwRHsl0EC5uPS6hUGy4WEOD+P1lfqtMiEqyhAsg\nwsX89Op4gdrHhcKFEHmhcHGBHw0Gvchx6dtXTOgHD47NsdBTWCj+MBuV/9XGQ+bmip/PP09sbG5R\nFPP8FkBMCrOz3TUZTfSh7MTGdsLFq5LIMsesHjggvC3qpD07Gxg1Cti0KT2Ei1uPC9AZLqZy+DAw\neHC5L+Mj3iDzPZRstMLFb1HhxuOSyhwX7b/EHN5H8hNUG6W1cDlxQvzB1YZvAf4IlyNHRFiIPrEw\n0bfpXuS4ACKfwMlDIT9fiBur/BbtMZOd51JTIxLax40z38ZtuFiipT6Z4+KM+vqu1f0AcQ1VVaWH\ncNE2oHQqXKZPB3btAnbvFsvs4ULSCfVZmYz+Kv36yV1RDOgULPS4ECIvaS1ctm8Hhg8XE10tfggX\ndWKqDwFJdFLqRagYAJx/vnFOiJ7MTPFmbdq02HX6eEg3wuXuu0WoWqKo3harUJtwWOTpOCXRt4n5\n+eJ6sipprM9/0uLWK9fWBvz4x6K6jR4vY1YVBbjvPmdj27QJePJJ6220+S0qaoPUdBAuffqIYhuK\nEvs3xYzMTOCyy4AVK8RyQ4PIcSHyEtS473jIzQX27xce7Px8f881YICzZxSQ2hwXgMLFCbyP5Ceo\nNkpr4WIUJgb4K1z0FBQknuOSaKgYANx6K7BokbNt160DJkyw3270aGc9U06fBp591rinhVuWLTPP\nb1EpLnbncUk0VCwzs/MBb4RZDxcVt+L24EFg8WLgn//Z/Vjd8NJLoofNO+/Yb/vaa8D//I/1NkbC\nJd08Ll9/LbwtbnJUtHkuDQ1CABGSDuTmikItAwY4F+vx8uyz9n/bUw1DxQiRn6QKl0SqbxmxdWvq\nhYssoWJnnGGfmK9iNonXx0M6DclSO4gnWoVs1y4hDs4/33o7t6FiXiSeWnlNvvxS5BiZTXbd5rjU\n14smoK+8IgokaPEqZvXgQeCnPwX+9m+d2a2qyv47NxIu48aJMKr6evmFS58+Qri4fZEwa5b4fg4f\nFsJl3LhyX8ZHvCGocd/xkJsLfPJJcpLmBw50Lo5SneNCj4s9vI/kJ6g2SqpwUcMpvEIGj4ssoWJ+\nMGyYmJTbVfCKRsWkPdF8mGXLgLlzgR49rLdLdo4LYC0+rPJbAKB/f5Ef1dzs7FwHDgClpcCCBcAd\nd1iHqMXLgw8C118vQtLs7KYoYmJ+8KAQ2mYYCZfMTFFdbM0a+YWL1uPidr+LLwYqK5njQtKL3Fxg\n82b5c0+ShSqsKFwIkRdHwiUcDmPChAmYPHkyphqVowJwzz33oLS0FBMnTsTGjRsNtzHqMp0IZsJl\nwAA11ty7c1mFiu3Z4648rxavQsW8QB8P2aePmJQdOGC9XzQqkpQT9bhYVRPT4ka4KIrw9A0enMjI\nrAVqba21cAmF3AlcNcn9pptEQqs2BNCLmNX33hM/v/qV6EXy2WfWTVTr6sT3WFIihKzVuI3C5aZO\nBVavTh/hEs/9qFYXO3wYOHgw4vnYiHcENe47HnJzxb0vm3BJdY4LQ8Xs4X0kP0G1kSPhEgqFEIlE\nsHHjRlQZzE4rKyuxY8cObN++Hc899xzuvPNOw+OsWeNNAjcgRMnnnxsLl6wsMQk5csSbcwHmwiUn\nR7xVjvdcXoWK+YUTkRCNAhddBLS2xu99OnBAhCzMmGG/rVNPECC8BL17u3+LrsdKeNh5XNT9nYaL\nqQIgFBJx4Q8/DHz1lZvRmnPihPCyLFokhGl2tvDufPKJ+T4bNohcleJi66IIZsLlvPPSJ1Ts6NH4\nrpXLLgPefltcI2ofG0JkRw0vlk24pAqGihEiP45DxRSLWeKKFStw8803AwCmTZuGxsZG1NfXx2w3\nfboIp/CCujoRgtO3r/F6r8PF/Cp3K1OomFE8pBPhUlsrJrVqInY8rFwpcgWcTG6deoIA7xqrWeW4\nOBUubjwuqgAYORK45x5RtU1REo9ZfeQRYPx4EZKnYme3qiqxjd21YOVxARIXj36j3ofxeFxyc4X3\n6u23gQsvLPd0XMRbghr3HQ8DB4p/ZWsMmSob9eghXhhRuNjD+0h+gmojxx6XSy65BGVlZXj++edj\n1u/ZswdDhgzpWC4qKkJdXV3Mdvou04lgFiamMnCgd8KlsVF4E/Q9XFQSFS6yhIoZ4dTjEg53lr6N\nB6dhYm7GBXjXnyCRHBfAXUlkvQD46U9F6e9E751t24Df/x747W+7fm5ntw0bxDbxCpfhw0XeRzp4\nXID4BdYVV4iwG+a4kHRBfabR4yIIhYTXhaFihMiLI+GyZs0abNy4EW+88QaefvpprF69OmYbvUcm\nZFBiae5cYNUq63h6p9gJFzuPy7p1zsfx5ZfGPVxU3Pbp0CJTqJhRPKQb4eLE43LwIPDcc11/Fi8G\nIhFg9mznY3UqXLzqCG0mThXFX48LIN7+LV4sPC+VlRGHI44dZ0WFKLGsn6RY2a29HfjoI3uPy4kT\n4lo+66zYdaGQ2F924aLeh/EKl8svF/9+8UXEk/EQfwhq3Hc89OzprqN9skiljXr2pMfFCbyP5Ceo\nNsp0stHgbzKbBw4ciHnz5qGqqgrTp0/vWF9YWIjdautoAHV1dSg0+Ev405/+EH37hnHbbUBZWX9M\nmjSpw5WlfsFOl999N4JhwwDAeH1rawQffADMmWO8/qqrInjgAeD+++3PF40COTkRRCLG6wsLgQ8+\niKC42Pn41eVjx8rRu7f739+P5Zqampj14XA5Vq403//b3y7H/v3Azp0RnDoFfPRROdrbgb/+1Xj7\npUvLsXEj0LevWC4oEOtvuy2Cmhrn483IiODdd4Ef/MB6+z17hH0S/X5qayPfJKZ3XX/oUDkGDgS2\nbo1g2zbz/RsbI9i0KXZ/o+3r64G6uq7XW3t7BLm5wKefCoHndvxLl0ZQXQ28917s+nHjxO9XWQnM\nnt11fX5+OQYMADZvjqChAYhGjY+/YkUEffsCoZDx+ksuiXyT++FsvKlYFsU8ypGdHf/xFi4sR16e\nHL8Pl7nsZPmRR4C9eyM4eFCO8QBATU1Nys7fsyewZ4/5857L5vMFLsu1rCLLeOyup8bGRgBA1O6t\ntGLDsWPHlKamJkVRFKW5uVm54IILlDfffLPLNq+//rpy6aWXKoqiKGvXrlWmTZsWcxz1VI8/rigV\nFXZntefiixXlrbfM1z/4oKI89pjxuuPHFSUjQ1FeftnZuRYuVJS77zZf/7vfKcqddzo7lp6cHEVp\nbIxv32SwebOijBplvn7XLkUZOrRzedgwRdm2zXjb9nax7aefJj6uRYsU5cc/tt/u9tsV5dlnEz9f\ne7ui9OqlKN/cCoqiCLsVFirK6tX2+69erSjnn+/sXAUFivLVV7Gf33GHojzzjLNj6Pn4Y0WZMMF8\n/QUXKMpf/hL7+csvK8o114j/79unKAMHGu+/YYOiTJ4c39hkIjtbUW65JdWjIISkisGDFeWJJ1I9\nCkK6N1byJMNa1gD19fWYPn06Jk2ahGnTpuGyyy7DrFmzsHjxYixevBgAMHv2bAwfPhwlJSWoqKjA\n73//e9PjXX45sHx54qWKnYSKff218bodO8T5nVZ5sgsFijfHRVFEeI3MOS52Fbz0341VvkRNjXDD\njxuX+LiSHSqmljTWXjM/+5nwflx4of3+Tq+R9nZx3eblxa5z279Gi12uj1m4WFVVZ3L9oEGi6tax\nY7HbmeW3pBtqpTVCSPekZ0+GihEiM7bCpbi4GDU1NaipqcHmzZvx0EMPAQAqKipQUVHRsd2iRYuw\nY8cObNq0CVOmTDE9XmmpSAhcvz7+QR85IsoqW03ErHJctm0T/zoVG3bCJd4cl1OngIwM592E/Ubv\nXgTERK5PHzExNUL/3Zx3nrlwURPwzXKF3OBGuHgVv60VH+vXA3/+s2gS6YSCAmD/fnvBfviwyLUw\nenCGw8D69RE3Q+7A7nswE5xqKWRA2E0VsnqCIly8KJ1tdB8ReaB95CeVNqJwcQbvI/kJqo1shYsf\nJFpdbNs2YNQoMek3w064DB/unXBx06NDi0ylkK0oLjYXCUYeF7NEb7eVw6xw2svFD+HS2io62j/5\npHEyuhFnnCGaSZp5AVWsBEA4LMRPPNh5now8LqdOiZwa7XsIM8EYFOFCjwsh3RsKF0LkJmXCZenS\n+LvN24WJAfbCZcYM58LFrjN6fr441+nTzo6nIlspZDVRSo+VdyMaFcJGZcoU0cywtbXrdrt2iUn3\n+ed7MFA46+Vy8qTwzqm9ChKloEAI1IULhc2vvdb9/nbX3IED1sKloaHc3Um/wU7AlZSIMDCtZ+3T\nT4XAV8sEA+YiNijCxQuPi9l9ROSA9pGfVNqoZ0+WQ3YC7yP5CaqNUiJczj0XOH68M2TLLdu2AWPG\nWG/jRLg48ZI0NgJtbda9GTIzxfncvg2XqRSyFXbCRSvqcnLE5PbTT7tut2yZKIfdo0dyxgUA+/YJ\ngWHlmXNDYSGwZo0ID3vmGfchb07yXOrrjfNbACEMmprEdeMWuxyXUAgoK+saLqbNb1EJusfFC+FC\nCElf6HEhRG5SIlxCocTCxRLxuCgK8PnnwMUXO8s5UCfmdpNU9W28G2QLFTOLh3QjXADjPJdly4B5\n8xIbnx6rEDbA2zAxQBzrtdeABx8Unoh49re7RqwEQEYGkJsbMcwxscNJkQJ9nos2v0Ul6MLFi1Cx\noMYVBwXaR36Y4yI/vI/kJ6g2SolwATrDxeLBiXDp31+8ndaHb+3ZIyYneXki58Aq1AhNKMaHAAAZ\n9klEQVRw1lwQiK+ymGyhYmaYTVZbW4X4Kyrq+rk+z+XAARE+9t3vej+u2lrz9XZeBrecc44QvA88\nEN/+hYVAXZ31NnYCID8/vspiTkScPs+lO3pcRo0Chg5N9SgIIamipAT4pnUdIURCUiZcvvMdUZbY\nbiKnp7VVTFZLSqy369FDJE43NHT9XCt6nLwB91O4yBYq5jbHpa5O/IHP1LUx1XtcVq4EZs3yvnO6\nXaiY1x6XMWOA996LvwpcOGxckUuLnQCYMqXctXA5cQJobhZeSCtUj4uiiHyX2lpg/Piu2wRduCxY\nAPzN3yR2jKDGFQcF2kd+UmmjF18EJk9O2enTBt5H8hNUG6VMuGRlAd//PrBihbv9du0Sb/idTIKN\nwsX0wsVObDgVLvGURJYtVMwMswpeZt/NhAnAzp2d/T68rCamxYlw8aKHi1c4KeFsJwDi6eWyd68Q\nmHa5PoMHi/uqthaorhZ21Iu0vDwhgpqbOz9rbRW5YAMGuBsXIYQQQogbUiZcgPjyXJyEiakYCZet\nWzv3dyI23Hhc4slxkSlUzCwesndvkXSv7+Vi9t307CnCqqqrxQQ3EhGNGr0m2R6XRPFCuLS0RFwL\nFzcCTvWWGeW3AMa9XA4eFKLFy8IL6UxQ44qDAu0jP7SR/NBG8hNUG6VUuHzve8C6deJtrVMSFS7a\nimReelyCECpmhdGk26pMtJrn8tZbwLe+JXKOvMaul4vXOS6JUlQkhMmpU+bb+JHj4kbAqeFiGzbE\n5reo6K+FoISJEUIIIURuUipcevcGysuB1193vo/WY2KHk1CxVOa4yBYqZhUPaSRcrL4b9c390qX+\nhIkB5p4gFdk8LpmZIhxr927j9YpiLwKuvNJ9josbAacm6FdVGXtcAAoXO4IaVxwUaB/5oY3khzaS\nn6DaKKXCBXAfLpaIx6WpSXh31CpYdmKjsVGUS7bq4aIS5BwXwLiCl5VwmToVWLsWqKwU/Vv8HJfR\nRF5R5MtxAazDxZqaRE6JVfhgfr77Xi5uBJzay+XwYaC01HgbChdCCCGEpIKUC5c5c0Q40YkT9tsq\nSmLC5fPPRblTNUnZTmw47eECiFCo06dFNSantLSkR44L4N7jMnKkEH4lJf56PcyEQGOjEAHaru8y\nYCVcnAiA99+PYNgwd+FibgRc//6iHHBZmXkyP4WLNUGNKw4KtI/80EbyQxvJT1BtlGm/ib8MHAhM\nnAi8+66oMmZFfb2YjNqVdVXJzQU2bepc1oseu1Axp2FigBA3RUXAddfFelHuuw84//zYfY4dE2/Q\n04HiYmD58s7lU6eEPfQ9XFQyMsTkd8YMf8dlJgRqa+UKE1OxEi4HDoiqXU6PMXass3O6zfWZOtXc\nrtrzq1C4EEIIISQZpFy4AJ3hYnbCxY23BYj1uOj3z80V4uH4caBXr9j93QgXAPjjH2PDqZYtE31M\nzISLTKFibnJczHq4aHn2Wf8ntOGwaG6pRVGAX/wCuOEGf88dD+GwEOlGOBEA5eXlWLLEvcfFjXCZ\nP9+63LiRcNH3e+nOBDWuOCjQPvJDG8kPbSQ/QbWRNMJlwQIx0bUqqeqFcPnBDzqXQyEx+d67Fxgx\nInZ/q6pZRkydGluJ6eRJEQpnhGzlkK0YNgz46iuR85OR4UzUmeVIeEk4HNsL6NVXxfiWLvX//G5J\nNFTM7hh6FEVc325yfYYMsV6flyeu3eZmEYpHjwshhBBCkkHKc1wAYPhwETK1dq31dl57XADrPBe3\nHhcjrCaZspVDtoqHzM4G+vbtrODlxXfjBfrv98gR4N57gcWLRT8Z2SguTky4RCIRV8KloQE44wxv\nrzN9LxcKl64ENa44KNA+8kMbyQ9tJD9BtZEUwgVwVl3MrXAZOLBTuJw+DezaFesFsMpz8Vu4yBYq\nZof2d5FFuOh7uTz0EHDZZcCFF6Z2XGYUFopcFqNeLn54XPzqZaMdQ329s9wcQgghhJBEkE64mDUT\nBNwLl5wcUa3s5EkR9jV4cGwui1lJZEXxZnJeUAB8/bUYgx7ZQsXs4iFlFC7aXi5r14pr6NFHUz0q\nczIzxTVh1MvFaY6LG+HiVy8bdQxtbcChQxQuWoIaVxwUaB/5oY3khzaSn6DaSBrhMmkS0NoKfPaZ\n8fqWFjGxczNZDoVEuNihQ+aixyxUrLFRiJezznJ+PiMyM8XE0WiiKluomB0yChdAhF9t3w7ccQfw\nb/+WuM38xkx4OPW4DBokym4fO2a/rV+9bNTfoaFBhBBmZXl/DkIIIYQQLdIIl1DIOlzsiy9ETxCr\n5H0j1DyXrVuNhYtZqJibHi52mE1UZQsVs4uHlFW4hMPAAw8IW2qLL8hKIsIlEonE5JhY4WeoWG0t\n81uMCGpccVCgfeSHNpIf2kh+gmojaYQLAMybZ14Jykx42JGbK0K1zDwuZqFiXk7MrYSLTKFidqi/\nh10Pl2QTDgObNwPPPOON0PSbRD0uVsfQ41eomFpkgMKFEEIIIclCKuFy4YUi9MSofLDb/BYV1eOy\nbRswZkzs+lQKF9lCxZzmuNTVifAjqx4uyWTuXOCFF8RkOh0wuh6OHRP5Ijk51vuqNnIjXPwMFaNw\niSWoccVBgfaRH9pIfmgj+QmqjaQSLpmZwNNPA3feKZpCaklEuFh5XAoKRDiNviiA38JFUdLP46L2\nctm1S54wMQD49reB665L9SicY3Q9qJW5nHqMUu1xGThQCO+dOylcCCGEEJIcpBIuADB7NlBWBjz8\ncNfPzTwmduTmijAzNVFfT3a2qDTW0ND182jUuzf4RpPMkydFvo5MSc128ZBqL5d16+QSLumG0fVw\n4IAzAaDaSM0xscOvHJdQSIxh/XoKFz1BjSsOCrSP/NBG8kMbyU9QbSSdcAGAhQuB554TeQuACKHZ\nvh0YOdL9sXJzgQ8+EN4Ws7fZRuFifntcZAsTc0pxMfCXv1C4JIJRLxe3IVdOPC6trUKQ+yUsKFwI\nIYQQkkykFC6DBwO/+hVQUQG0t4vwpNxcoE8f98fKzQU+/dQ6zExfEtmrHi7a4+t7uchWUQxwFg8Z\nDgMffkjhkghGvVycChc3OS779omQLreV+JwSDov8MQqXrgQ1rjgo0D7yQxvJD20kP0G1kZTCBRA9\nOdrbgX//9/jzWwAhXBTFen99SeTGRvFv//7xnVOP2svlq686P5NRuDghHBZNPSlcEkMvPNx6XAYN\nApqbxY8ZfoWJqajXAJtPEkIIISQZSCtcMjJEuNjPfw5EIokJF8BeuGg9Ll72cFFRy8eqtLTIl5jv\nJB5SnaxSuCSG/npwKlxUGznp5eJXYr6Keg3Q49KVoMYVBwXaR35oI/mhjeQnqDaSVrgAwPjxwG23\nAU88kVzhUlvr/cRc/4Y9nT0uPXr4OyHuDiTqcQFixY8eChdCCCGEBAmphQsA/OIXIil/ypT49h84\nUEysrCqE6XNc/OgKnw7CxUk85KhRQgTK0sMlXdFXBXOb46Iew0q47N3rTw8XlREjgKFDgTPP9O8c\n6UhQ44qDAu0jP7SR/NBG8hNUG0kvXLKzRXWx88+Pb/9evYQosZpo63NckiVcZAsVc0JxMbBpU6pH\nkf544XGxEy5+e1wGDBA9fQghhBBCkoH0wgVIvCqS3f5mOS5eop9kylgO2Wk8pF9VqroT8QoXrY1S\nLVwAXgtGBDWuOCjQPvJDG8kPbSQ/QbURA34gqiIdPiz6avTs2X1DxUjy0JbIVhQhZM86y90xnAgX\nP0PFCCGEEEKSSUhRFMVuo7a2NpSVlaGoqAivvfZal3WRSASXX345hg8fDgC46qqr8POf/zz2RKEQ\nHJwqZRQVif4kQ4YA/fqJak1uJ5JWtLWJ0LCmJuCMM4AnnwTq6oDf/Ma7c5D0Yvhw4K23hFj+1rdi\nm6DaUV8PnHOOEEBG5OSIa6xfv8THSgghhBCSDKw0gyOPy1NPPYWxY8fi6NGjhusvuugirFixIv4R\nSoAaLtanjyg161UPF5UePYQ4+uoroLRUzlAxklxUj0n//vFV5srLE5675ubY5qxNTcKT07evFyMl\nhBBCCEk9tjkudXV1qKysxI9+9CNT9SOzJ8UpqnDxo4eLija0R8ZQsaDGQ8qKej24SczX2siql4ua\n3+LHdUys4X0kN7SP/NBG8kMbyU9QbWQrXO677z48/vjjyMgw3jQUCuHDDz/ExIkTMXv2bGzZssXz\nQSYDtSSyH/ktKnrhko5VxYh3xCNcjI6hLaus4ncpZEIIIYSQZGMpXFauXIm8vDxMnjzZ1KsyZcoU\n7N69G5s2bcLf/d3f4YorrvBloH6jlkSORq17viSCVrjIGCoW1JrfshKPcNHbKBwGduyI3S4ZFcWI\nMbyP5Ib2kR/aSH5oI/kJqo0sc1w+/PBDrFixApWVlThx4gSamppw00034eWXX+7YJicnp+P/l156\nKe666y40NDTg7LPPjjneD3/4Q4S/cWf0798fkyZN6vhiVZdWqpabmiKorgbGjCnH8OH+nO/4ceDL\nL8VybW3kmzficvz+XE7+cmMjEI2WIzcXOHUqgkjE/fGuvLIcd9wBjBoVQa9enetXr46grQ3g9cVl\nLnOZy1zmMpdlXq6pqUFjYyMAIGpVLhUOq4oBwPvvv48nnngipqpYfX098vLyEAqFUFVVhWuuucbw\npLJXFXv3XeDhh0UlpltvBfxwHK1eDfzjPwJr1gBz5gC33w7Mnev9eeIlEol0XEjEf3bvFtXEpk8H\nLrsMuOEG+32MbHT99aIa3oIFnZ/dfTcwciRwzz3ejpnYw/tIbmgf+aGN5Ic2kp90tlHCVcW0BwKA\nxYsXAwAqKirw6quv4plnnkFmZiays7OxZMmSBIebGgoKRKjYGWckJ8elpYU5Lt0dtZfL7t3x57gA\noqT2+PFC+EyYID7buxdI079XhBBCCCGGOPa4JHwiyT0uTU1iIpmRIUoWe10OGejay+Wii8SE81vf\n8v48JH0YMQLYvx9Yt06Ij3h5/nnghReEN69HD2DaNGDhQl5fhBBCCEkvrDRDRpLHIi19+4rSsRkZ\n/ogWQEwohwwR5WtlLIdMkk84LLxviXhcAOC224DMTOAbZyiT8wkhhBASOChcNBQU+BcmpqKGi8lY\nDllNmCLJIxwWYnnAAGfbm9koIwN47jngX/4FqKsDDhwA8vM9GyZxAe8juaF95Ic2kh/aSH6CaiNX\nOS5Bp7DQ/07jqnCRsRwyST7hMJCbK7xxiTJ2LFBRIXJdzjoL6Nkz8WMSQgghhMgCc1w03HijePO9\ncKF/53j4YSFafvc7Ec7jt1AicvOHPwCPPw588ok3xzt+XCTo5+QA1dXeHJMQQgghJFl4VlUs6Fxy\niXhT7SfhMPD666wqRgRTp4pSyF7Rqxfw4ovAX//q3TEJIYQQQmSAOS4abr7Z/74q4TDw+ecikTpT\nMtkY1HhImRk1Cpg/3/n2Tmw0fTrws5/FPyaSGLyP5Ib2kR/aSH5oI/kJqo0oXJJMOAxs3cr8FkII\nIYQQQtzAHJck09Ymwnny8kT1J0IIIYQQQoiAOS4S0aMHMHSoN1WkCCGEEEII6S4wVCwFhMNyhooF\nNR4ySNBG8kMbyQ3tIz+0kfzQRvITVBvR45ICwmHg5MlUj4IQQgghhJD0gTkuKeDhh4HVq4E330z1\nSAghhBBCCJEHK83AULEUUFrqf78YQgghhBBCggSFSwq46irg2WdTPYpYghoPGSRoI/mhjeSG9pEf\n2kh+aCP5CaqNKFxSQGYm0L9/qkdBCCGEEEJI+sAcF0IIIYQQQogUMMeFEEIIIYQQktZQuJAOghoP\nGSRoI/mhjeSG9pEf2kh+aCP5CaqNKFwIIYQQQggh0sMcF0IIIYQQQogUMMeFEEIIIYQQktZQuJAO\nghoPGSRoI/mhjeSG9pEf2kh+aCP5CaqNKFwIIYQQQggh0sMcF0IIIYQQQogUMMeFEEIIIYQQktZQ\nuJAOghoPGSRoI/mhjeSG9pEf2kh+aCP5CaqNKFwIIYQQQggh0sMcF0IIIYQQQogUMMeFEEIIIYQQ\nktZQuJAOghoPGSRoI/mhjeSG9pEf2kh+aCP5CaqNKFwIIYQQQggh0sMcF0IIIYQQQogUMMeFEEII\nIYQQktY4Ei5tbW2YPHky5syZY7j+nnvuQWlpKSZOnIiNGzd6OkCSPIIaDxkkaCP5oY3khvaRH9pI\nfmgj+QmqjRwJl6eeegpjx45FKBSKWVdZWYkdO3Zg+/bteO6553DnnXd6PkiSHGpqalI9BGIDbSQ/\ntJHc0D7yQxvJD20kP0G1ka1wqaurQ2VlJX70ox8ZxputWLECN998MwBg2rRpaGxsRH19vfcjJb7T\n2NiY6iEQG2gj+aGN5Ib2kR/aSH5oI/kJqo1shct9992Hxx9/HBkZxpvu2bMHQ4YM6VguKipCXV2d\ndyMkhBBCCCGEdHsshcvKlSuRl5eHyZMnW1YE068zCikj8hONRlM9BGIDbSQ/tJHc0D7yQxvJD20k\nP4G1kWLBQw89pBQVFSnhcFjJz89XsrOzlRtvvLHLNhUVFcorr7zSsTxq1Chl//79MccaMWKEAoA/\n/OEPf/jDH/7whz/84Q9/DH8mTpxoqk0c93F5//338cQTT+C1117r8nllZSUWLVqEyspKrFu3Dvfe\ney/WrVvn5JCEEEIIIYQQ4ohMNxurIWCLFy8GAFRUVGD27NmorKxESUkJevfujf/4j//wfpSEEEII\nIYSQbo1jjwshhBBCCCGEpApHfVwSZdWqVRg9ejRKS0uxYMGCZJySWLB7925cfPHFGDduHM455xz8\n9re/BQA0NDRg5syZGDlyJGbNmhXYUnrphL75K20kF42Njbj66qsxZswYjB07FuvXr6eNJOORRx7B\nuHHjMH78eFx//fU4efIkbZRibr31VgwaNAjjx4/v+MzKJo888ghKS0sxevRovPXWW6kYcrfDyEb/\n8A//gDFjxmDixIm48sorceTIkY51tFFyMbKPypNPPomMjAw0NDR0fBYk+/guXNra2nD33Xdj1apV\n2LJlC1555RVs3brV79MSC7KysvCb3/wGn332GdatW4enn34aW7duxaOPPoqZM2fiiy++wIwZM/Do\no4+meqjdHn3zV9pILv7+7/8es2fPxtatW/HJJ59g9OjRtJFERKNRPP/886iursann36KtrY2LFmy\nhDZKMbfccgtWrVrV5TMzm2zZsgV/+tOfsGXLFqxatQp33XUX2tvbUzHsboWRjWbNmoXPPvsMmzZt\nwsiRI/HII48AoI1SgZF9APFi+u2338awYcM6PguafXwXLlVVVSgpKUE4HEZWVhauvfZaLF++3O/T\nEgvy8/MxadIkAECfPn0wZswY7Nmzp0sz0ZtvvhnLli1L5TC7PUbNX2kjeThy5AhWr16NW2+9FQCQ\nmZmJfv360UYS0bdvX2RlZaGlpQWnT59GS0sLCgoKaKMUM336dJx11lldPjOzyfLly3HdddchKysL\n4XAYJSUlqKqqSvqYuxtGNpo5c2ZHT79p06Z19OyjjZKPkX0A4P7778djjz3W5bOg2cd34WLUoHLP\nnj1+n5Y4JBqNYuPGjZg2bRrq6+sxaNAgAMCgQYNQX1+f4tF1b4yav9JG8lBbW4uBAwfilltuwZQp\nU3D77bfj2LFjtJFEnH322XjggQcwdOhQFBQUoH///pg5cyZtJCFmNtm7dy+Kioo6tuMcQg5efPFF\nzJ49GwBtJAvLly9HUVERJkyY0OXzoNnHd+HCZpTy0tzcjKuuugpPPfUUcnJyuqwLhUK0XQpx0vyV\nNkotp0+fRnV1Ne666y5UV1ejd+/eMSFHtFFq2blzJxYuXIhoNIq9e/eiubkZf/zjH7tsQxvJh51N\naK/U8utf/xo9e/bE9ddfb7oNbZRcWlpaMH/+fPzrv/5rx2dWtbfS2T6+C5fCwkLs3r27Y3n37t1d\nlB9JDa2trbjqqqtw44034oorrgAg3nLt378fALBv3z7k5eWlcojdmg8//BArVqxAcXExrrvuOrz3\n3nu48cYbaSOJKCoqQlFREc477zwAwNVXX43q6mrk5+fTRpLw0Ucf4YILLsCAAQOQmZmJK6+8EmvX\nrqWNJMTsb5t+DlFXV4fCwsKUjJEA//mf/4nKykr813/9V8dntFHq2blzJ6LRKCZOnIji4mLU1dXh\n3HPPRX19feDs47twKSsrw/bt2xGNRnHq1Cn86U9/wty5c/0+LbFAURTcdtttGDt2LO69996Oz+fO\nnYuXXnoJAPDSSy91CBqSfObPn4/du3ejtrYWS5YswXe/+1384Q9/oI0kIj8/H0OGDMEXX3wBAHjn\nnXcwbtw4zJkzhzaShNGjR2PdunU4fvw4FEXBO++8g7Fjx9JGEmL2t23u3LlYsmQJTp06hdraWmzf\nvh1Tp05N5VC7LatWrcLjjz+O5cuX48wzz+z4nDZKPePHj0d9fT1qa2tRW1uLoqIiVFdXY9CgQcGz\nj5IEKisrlZEjRyojRoxQ5s+fn4xTEgtWr16thEIhZeLEicqkSZOUSZMmKW+88YZy6NAhZcaMGUpp\naakyc+ZM5fDhw6keKlEUJRKJKHPmzFEURaGNJKOmpkYpKytTJkyYoMybN09pbGykjSRjwYIFytix\nY5VzzjlHuemmm5RTp07RRinm2muvVQYPHqxkZWUpRUVFyosvvmhpk1//+tfKiBEjlFGjRimrVq1K\n4ci7D3obvfDCC0pJSYkydOjQjnnDnXfe2bE9bZRcVPv07Nmz4x7SUlxcrBw6dKhjOUj2YQNKQggh\nhBBCiPQkpQElIYQQQgghhCQChQshhBBCCCFEeihcCCGEEEIIIdJD4UIIIYQQQgiRHgoXQgghhBBC\niPRQuBBCCCGEEEKkh8KFEEIIIYQQIj0ULoQQQgghhBDp+X+B+AHTeRH1NAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1158d5fd0>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# A EMA forecasting function\n",
"def predict(x, span, periods):\n",
" x_predict = np.zeros((span + periods, ))\n",
" x_predict[:span] = x[-span:]\n",
" pred = ewma(x_predict,span)[span:]\n",
" return pred"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Get the next 10 predictions based on a \"7-days EMA\"\n",
"_preds = predict(df['SepalLength'], span=50, periods=3)\n",
"print _preds"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 6.37799872 6.18347547 5.99691687]\n"
]
}
],
"prompt_number": 32
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# How does it look like ?\n",
"ts = df[['SepalLength']] # Actual\n",
"ts['ewma'] = ewma(ts['SepalLength'], span=50) # Observed\n",
"\n",
"preds = pd.DataFrame({'SepalLength': None, 'ewma': _preds})\n",
"results = pd.concat((ts, preds), axis=0).reset_index() # with forecasts\n",
"\n",
"results.drop('index', axis=1).plot(figsize=(14, 6))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 33,
"text": [
"<matplotlib.axes.AxesSubplot at 0x1164d1350>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Y8AnFhV8oNvyiJTbl5ez3xYva92ukVEzMuMiZ80VfBsAETFSUvjFZjZYyMYAJ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GAAAg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\nIiIiIvH+H+SDaHCjXRkpAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1161a3190>"
]
}
],
"prompt_number": 33
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 34
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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