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428 lines
173 KiB
428 lines
173 KiB
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"___\n",
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"\n",
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"<a href='http://www.pieriandata.com'><img src='../Pierian_Data_Logo.png'/></a>\n",
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"___\n",
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"<center><em>Copyright Pierian Data</em></center>\n",
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"<center><em>For more information, visit us at <a href='http://www.pieriandata.com'>www.pieriandata.com</a></em></center>"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Rolling and Expanding\n",
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"\n",
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"A common process with time series is to create data based off of a rolling mean. The idea is to divide the data into \"windows\" of time, and then calculate an aggregate function for each window. In this way we obtain a <em>simple moving average</em>. Let's show how to do this easily with pandas!"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"import pandas as pd\n",
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"%matplotlib inline"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"# Import the data:\n",
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"df = pd.read_csv('../Data/starbucks.csv', index_col='Date', parse_dates=True)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/html": [
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"<div>\n",
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"<style scoped>\n",
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" .dataframe tbody tr th:only-of-type {\n",
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" vertical-align: middle;\n",
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" }\n",
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"\n",
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" .dataframe tbody tr th {\n",
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" vertical-align: top;\n",
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" }\n",
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"\n",
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" .dataframe thead th {\n",
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" text-align: right;\n",
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" }\n",
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"</style>\n",
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"<table border=\"1\" class=\"dataframe\">\n",
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" <thead>\n",
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" <tr style=\"text-align: right;\">\n",
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" <th></th>\n",
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" <th>Close</th>\n",
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" <th>Volume</th>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>Date</th>\n",
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" <th></th>\n",
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" <th></th>\n",
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" </tr>\n",
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" </thead>\n",
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" <tbody>\n",
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" <tr>\n",
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" <th>2015-01-02</th>\n",
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" <td>38.0061</td>\n",
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" <td>6906098</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>2015-01-05</th>\n",
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" <td>37.2781</td>\n",
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" <td>11623796</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>2015-01-06</th>\n",
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" <td>36.9748</td>\n",
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" <td>7664340</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>2015-01-07</th>\n",
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" <td>37.8848</td>\n",
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" <td>9732554</td>\n",
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" </tr>\n",
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" <tr>\n",
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" <th>2015-01-08</th>\n",
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" <td>38.4961</td>\n",
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" <td>13170548</td>\n",
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" </tr>\n",
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" </tbody>\n",
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"</table>\n",
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"</div>"
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],
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"text/plain": [
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" Close Volume\n",
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"Date \n",
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"2015-01-02 38.0061 6906098\n",
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"2015-01-05 37.2781 11623796\n",
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"2015-01-06 36.9748 7664340\n",
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"2015-01-07 37.8848 9732554\n",
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"2015-01-08 38.4961 13170548"
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]
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},
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"execution_count": 3,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"df.head()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [
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{
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"data": {
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VbfCxnRtfOpxepEWw0aLN7oHN7UNukm4oD48QMoj8LIcp/7cO154+Dg9fMrPH+36yvw4PfXlM+jxJH7pMAgBm5ybg/T018PlZKOQxmn4aQ1iWw/EmK2YJU8EmpcfjnV1VcPv8UCso2TEW+Ud4zTAhQ2pXeWvQ5+1OL855cjPueu9Aj4/7zcfFuOGNvUN5aISQQSZmB9/ZVd3rfa2u4Klyyh6C3Dm5CXB6/Thlsg3sAMmA1ZgduPntItS2OXH21HQAwMK8RLh9LEoarMN8dGS4sEM8dGMgKBgmw25XuRkzsg3S52sPN+Jksw3/O1Qf9jE2tw+bj5tQbXZQOyVCRpD6MMMxfH4WP31tDzYH7B9weH1QKWTYfN8KvHfT6T0+76wcYROdUHK1v7oNLEvvDdFW3+7EeU9vwY6yVvxh9VRcOjcbAJAaz6/2iZ1ByNhDmWFCelDV6sDMbCO2/mYlAOC17RVBX3d6/N1qzb4/3gyPn4Xbx2LtkcZub7B+lqMgmZAY42c5XPLcdulzt69zs2xpoxWbT5hwx7v7pdscbj90KjnGJ+txRkFyj8+dl6yDXiVHSYMVu8pbseb5HdhR1trjY8jgK6pqg8Pjx9s3noabluVL08BUQlbf42OH8/C6sbi8qG+nlnyDxeHxSTX+XY30PsOEDBmO42BxemHUqpCTqMUfVk8N+vrxRitueGMv5j+8Pii4/fZok/Txbe/ux68/OBT0uOVPbMJl/945tAdPCOmT748Hd+C0uXzwsxyueXkXfvTCDgCAWtl5WnJ4/NBFuJmWYRikGzVotrqwRcguN1tpRHO0nWqyQsYA07MMQberFPzv1euPrWD46pd24czHNlLyZJBc9dIuzPvLd9LnzVaX1CGK4zjEajl/jB4WGStcXhYePwuDVgGGYXDTsnw8tqZzU815T2/BTqGmWGyo72c5bCptRqaxc5PdjrIWKePg8vpR2+bkN+bF2BsvIWPZf3ZXQylnsGoKP7DU7vZjQ0kTdpS14pxpfG2pxeWD18+issUOp9cHrSryzVYZBg2aLG5sP9XCPxctyUfdodoO5KXou3UEEoPhWMsMH63nB4LUmCk7PBiKa/mOLrvKW/HzN/di0SMbcNNbRQBG/jhmQoZMqMlSVy0ah0UTkqTPlXL+j+dwHf9H9vBXx2B1+3DT0nysmZeNBy+aBofHj+LadjRbXLjxzc5NdZQdJiQ21Lc7sel4M25ZVoArFuYCAKxuLzaWNiNercBTV87B01fOgcfH4t/fl2HF37/Hnoo26NWRdgAF0g0anGi0olh4r+hw+np5BOkJy3J96vve7vBg26kWnDsto9vXxPfxwQ6GTzZZ+1wWd7zRile2luNEU+dmvgM1bQD4n9npoV73A3XVS7uwvoRfCdp6kr849bO0gY6QkMKNWb1hcZ70sdfPv8k1Wfglz9e3VwLgW/U8ecUcXDo3GwwDbD/Vihc2l2FPhRlaIStxkJrwExITiqrawHLA6pmZiBMC3JIGKz7ZX4dzpqVDKZdhmrC0/o/vTgDgh21o+9BzPN2ggdXtgxgXWWj874D8e0sZVjzxfa/3a7W58WFRDSpbHfCzHBaMT+x2HykzPIirdccbrTjnqS0o+P3XuPDZbRE/7u73D+Dhr0pwUcBjxHPFo2tLMPWP62Iugz3S7TjVgq0nWygzTEgo4YLh82dk4thD5yElYPxqq80T9AaVm6QFACToVJieZcD2shZ0OL1IN2jw0zPzhv7gCSERqzE7AADjk3VSMPzN0UZ4/CxuW1kIAMhP0Xd7nK4PZRJnBmyyS4lTU+eCAfpkfx0aLa5eA8NPD9Thvo+K8fR6/iImPUSf+KHYQFccMH5bLHfoyVfFDbC5fWgQOpq4fSzuO28yFuUlScv77++pAQBY6UKqXyYIf8Nf37UU2Qla6fZrXtkNAMgw9j5DYDhQMEyGVbhgGAB0KgVuXJIvfd5qd8Pu7lz2zAr4Q1tckII9FWasO9IItUIWlav69/dU46Jnt0V944XZ7sHP3yySggtCRoLaNieS9Sro1QrEafhgeFdZK4xaJQpS+RNo4LAM8T1Bp4q8TGJxYQpuWDwBr/50AVpsbny0rxYmK009i9T2Uy14ZWs5WJZDmcmGU818z2aHp+dyk0YhuPz+OL9xMd3YfVLgUGygE0vnRC09TLjbW2nG7f/Zj0e+KkGH04u7zirEl3cuwe0rC5Fh1EgdEMTjtLioxKY/bG4frlqYi2lZBijk3bPAfbm4jSYKhsmw6ikYBoBrTx+HRXl8/XCLjZ84BwB/+9HMoAb8P1+ajwyDBg4PP90osGVTT1pt7n4Hs2/vqsLhug602EK3kRlsf/z8CHacasGGkiasL2nCJc9tR0MHbfogI0NtmwPZifwFbLyQGba6fbj29HFS+y0AeOKyWbh5WT4WF/JZ3r6MZpfLGPzxomlYJQx6AICFj6zH0Xoa0xyJh78qwcNfleDj/bVBHXvsvdTQNlvdSNR1vocn60MEw0OQGT7UpQxuf1Vb2PuWNPCZ46pWOwAgM0GLGdn8dDy9WiENeBHPK7Sq0D82lw/xwsVuqJKIC2ZkRvuQIkLBMBlWvQXD8RolPvjFGTizIBmtNrf0htX1/qnxalwpbMpRyhnpY30PV6FNFhfmP7weL2wu6/NxV7c6pGW56ihkaH1+Fm/trMJr2ytQ2shv+rC6fLjo2W1weHyoMTtw9pObMeehb1FOE7hIDGpzeJASxwdJqfFqPPCDqXjvptNx33lTgu53+YJc/H71VOmkecGM7puxIrH+nmWdz/nvnThQHT5QIjwxifBBUQ3WHW2Ubne4e86SmqxuFKTG4Y6VhVg2KRXyEJuk5DIGDDN4NcNunx8lDdaggU2bT5jCbn4rk7Lc/NdT4zoD9niNQlp1lDLDFAz3mc/Pwun1I07Nn5/TDJ3/xs9ePRelfzkfK4VOMrGGgmEyrMRgOF4TOhgWJeiU6HB6pcyw+McWSK/mA1+W46dR/XB2FlLju2coRM0Wfknt1a0VYe8TzrqjDdLH1WZ7nx/fV3Y3/wa+o6wVJQ0WTM8y4OFLZqDF5kGTxY1/fHscp5ptaHd48d2xpl6ejZDoszh9MAgZI4Zh8POl+T0O0rhwVib2/H4Vzp6WHvY+PSlMi5c+9rMcvipu6OHeoX28rxZf9DAJczRhWQ51QvvKQ7UdOFTTjjPy+d9Pb5nhJqsLaQY17j1vMt66YVHI+zAMA5VcNmjBcGmDla83X1GIfQ+cjbOnpuPd3dWY+sd1aHd0X61rEcogxFWC8ck66WtxagWcXj98flYKhikz3HfieUosg3rmqrm4fnEeHr9sFi6cldmnVZ5oo2CYDJt3dlXhmQ0nEa9RhMwkBNKrFLC7/WgUOkqIf2yBxF3nfmEEq0Ypg8sb/o1XfLNrDTMtpyfrjjRKdY5NlqGvSbQJNXsOjx97KsxIi1cjQViW3FthxmcH63HbigJMSNFjP2XASAzqcHrDrgCFwjAM0kJsxOqLhy+ZgZd/sgDpBg2a+1E7/OsPD+HO9w4M6BhGCpPNDbePRWq8Gh4fC61Sjp8JXX16ygy32NyoaLFjcroh7H1EqkHcz3FI2Dw3OzcByXFqLJ+cKn3tm4CstsgslLN5/RzOnpqOiemdF0vihk67209lEn3kZzmsP9YEjuNgdQvJLeHfM82gwYMXTccVC3KDSqFiEQXDZNg88NkRAJBKH3qiV/PLWHcJJ6a4EL1HtcJGG1aoAe6tdrgtRPYgUhUtdpyenwy5jIEtChstAjcO+lgOyXFqqf/qq9sqoFfJccvyAhi1Sjh7uAAgZDiwLAerywtDH4LhwXDt6eNxzrR0pMWr8b9D9T1usBrrxA25Yjb4R/OzkWXka7x7ygzvqTCD4xAUjIajkssGbQNdbZsTaoUMWUJ3ghWTOr//iabupWLi+71cxuD+C4JLc+KkGnavlBkON1I4HDEJM9a8uKUMP3+rCN8da5LO5aGSVbGOgmEyLHrbndxVnFoBa0BAGFjvJRIzw+J+uN4yw4FLaX19I3N4/IhTK/jjikILHrE8RGxcnxynkoLh401WTM82wqhV8icb6o9JYozN4wPLhd8bMNTEuv6/rS0dlu8/Eoj/RpfOy8bUTAN+viQfOqH0rKf3azHIzIygZdZgZoY7HF4k6JRSxjE3SYdL52YDQMgOIq12DyamxeHJK2ajMC0u6Gti8PbK1gppU97BmnZ8e7QxouC9qtWOgt9/jXVHumekR7oTTVZ8WFQT9uuVLXyZoNneucE9noJhQsJjWQ43vLEX7++plnb2RirwSvNf18yFUReqFZtQJtElM2x1eTH3oW/x/XF+Gs5vPjqE617dLU3FAfqWBfCzHNw+FlqVHPEaRUSZ7UD9yU6JmeGlE/nsR2qcOmhzYIawnKyQM4PauoiQwdDh4C8YDb3sDRgqYqDWWznWWCaOIz4jPxlr716KvBQ99KrO8oFwLMKUv0h+t0r5IAbDIcpunrpyDhaMT+wWDHMchza7B+dMS8fFc7K7PZeYGX5jR6V028bSZtz89j68tKVcuq3N7gEbInEiTlr7x7fH+/3zxKp3d1XhNx8Xo83uwYOfH8FbOyuDvu4T/j0CV0lDrdzGOgqGSdRsPmnCxtJmrD3SiMNCg/P/u3Aa3rh+Ya+PFbOgchmDs8LsRhWL88UyCY1SBpbj+0u2Obx4btMpeHwsPiiqxdaTLfg2YKNZqz3yAFXMkuhU8m4Z695Uttix8JH12FNhjvgxAHDdq3sAABfN5nfYZydog8bU3rSU78esHMRlSDL0Pj9Yh7Of3BzyBDuaiJPgDNrhOUm+cO18AJ2rRl19c7QRnx+si+IRxZ5qswMZBk3QJqcEnRJqhQzrjjaGfY1aXF4o5Qw0yt7DCZVCJk0UHahwNeip8WqYbG54/Sz+/s1x/OS1PTDZ3PCxXNiViQkpemQnaKWMsTKgP26bkCixuX2Y+5fv8Ojakm6PFxMtZSYbmoV9LaNFu9MLjgOe/O4E3txZhT/972jQ133C71MhZ6RzIWWGCenBa9v4rg2ljRYcrrMgJU6FGxbnYcXk3lutxAnLdVMy4sM24Rczw+KbtlrBf36ohg+80w0aVAo9Jp+4bBaeuGwWLp+fAwBosUaeGRZb92hVChg0yj6VSTRaXOC44MlJvQkMbheMT8Lau5fi3OkZUtYGAGbm8P0ylXIZPIN0siFD7+73D+JUs23U17KKvbiTQ5Q3RUNWghZTMuJDbpb1+Vk8trYUv/24OOj3YOvDRe5oUNPmwLgkXdBtGqUc/3fhNGw5YcKD/zsaMiC2uryI1ygj2iClksvgHsLMMCAEw1Y31jy/A//adApbTpiwq5xPPmjDtNrMTdJh+/1nSZNLA6ek2T1+mKxu6T37zR1VQY+1uLzYUdaKC2ZkgOWARX/d0GuGeFNp84jpUiK2mHt7F/9zd11dEUsMWRYBmeHhWQEaCAqGSVScarZh68kWpMar0WRxY09lK2ZkGyPeYSoGfnPHJYS9j/hGxwbUDAPA89+fAsBnJY4LPXqnZxlx+YJc3LVqIgD+RBApsU+lTilHnEbRp5Om08s/tszUvR1bk8WFFU9swqp/fB/0nA3tnZkGvVqBqZkGyGWMVM8XSKWgMomRqLZ9dA9PEbNlaT20OhxqyXEqmEOsAN3+n/2oaLHD5WXx6rbONouLH9sYzcMbVj4/i+pWB3KStN2+9uPTxuHiOVl4e1dVUO9hUWDLvN7oVHJplWCgOpyhN2SKCYrA6XRHhI97a+21Zm42shO0+MXyAum29/ZU4+J/bcM1L/PjhD1+FizLgWU5FNe2Y9afvoWf5XDxnGzpYuLZjafCfg+O43D9G3tHTJeSrl01vH4uqIZcPN+4fH7YhG4StIGOkDAO1/FX1RfO4pf5a8xOzBSm/0RC/OOam5sY9j4aRXBrtbwUPeQyBhfNzkJKnAptdg9ONlkhlzHIF9qiZSVooVbI+jSoQgqG+1Ez7BaC4VDf78viBlS2OlBmsuO7Y50nHXFjy/nTM5CkV0m3B07gC7yNguHYZ7K6UR8QANeP9mBYqOFMix9Yq7SBSNarcbTegrWHG+DydtbAfiNMWpPLGLy1o1LaWDtWWmtxHIfCP6xFo8XVLTPVqkS+AAAgAElEQVQM8C3u/nH5bGiVcqm8y+LyIu/+r/DpgVpY+tAlZHJGPEoaLINSFmQJkxnWqeXo+vRiWV5vwbBercD2+8/Cj08bj5uX5Uu313cElz6sfmYrTn90A374r+3SbTmJWlx3+njh+8jAshze2VWFW9/ZJyU3Gjtc+MU7+yL/IWNAqLHUgYOmxPOt0+OHxekDw/CJopGGgmESFQ3Cm8nEgEb4C4Qxy5GYNy4Rd6wsxHk9TKOSCa9mcbzy0ompOPnwBXjyijmYlmWE2eHF8SYrxifrpDdFuYzBhBR9yExtOE6vUDMsdJPoS2s1MTNc3tL9+wVOPPrNR8X4+zf8UpuYtX7gwqndHjM7NwF/WN15u5K6ScS8I3UdWPjIepwZkHkcrGD49e0VeGN734fIDNTmEybc8Z/9+OX7B0J2ZjFZ3YhXK8IuU0fDtaePh16twK3v7setAQFJrpAN/ey2xbB7/Hjh+7J+j2iPNa9vr5BapoVT2dr59dzE7sEwACjkMpyen4R1R/juCmIHgb98WYJqsyPiGtHZOQmwunxSuVp/dTi8sLp9ITtY6LuU0eWn6nFEGLSh7UOQ9vvVU6VNylMyOs9bvz1/CkobrWi2uoNWKnMStfj50gmYkW2AQibDZf/egQc+O4K1RxqxoYS/4LrlnX3YcoLfuJ2foo/4WIZTh9Mr/fyXCWWF5QHnS3EDncnqxof7ajA9ywDZCNyoSsEwiYqmDhfiNYqgiXCnTYg8GNYo5bj3vMk97lJNi9dgQooef7lkhnSb+EeZpFOize7BkToLpmYEN4cvSI3rlqm9870DWPP8doQSnBlW9ikzLLZ6M1nd3ZYL69udSItX46alE+D1c/jXplPw+lnUmB1QyBhkGrsvYX5++2LcFJDBoJrh2LWhpAnNFpd0YahVyqVpXW2O/mchxcCNZTn8+Ytj+NMXx6K6Ic/u9uGmN4uw9WQLPjtYj3d2VXW7T22bE+kRtN4aSosmJGHP71fh9pUF2HTchFveLsKm0mY0W9y4aekEzMwx4ooFOXhpazkeGwUt2Fpsbvz5i2P42et7erxf4P6Fccmhg2EAuHLhODRaXNhTYUa9ULpltntQ0WIP2aEhFHFvQ2AJQyR2nGrBn784KnWJKG/h368npMR1u2/gBdfr1y/EvHGJ0nt0JJv8AumE883p+cnYdO8KPP6jWbj29HHS19+76XT8aB4fIBq1fN30vHGJsLl92F/d+e9a1+6E0+PHoZp2/GJ5gbRCOhJYnF4sn5SK9fcsw0MXTwfQOdoa6Nwc++KWcpisbjxyycxhOc6BomCYREWjxYUMg0YamQz0vmTVVyqFDJvuXYFVU7uPb03Uq1DX7kRdu7Nb3XF+qh7VZkfQgI4vDtUHvZkBnUGH2GZIq+TLJDx+tsfhHoGcAc3ry7tkoxs6XMhK0OLCWVnSbfXtTlSbHchO1EbUFkpFrdViktPjx41vFuGGN/dK9XZf3LkEyyalIlmvCloV6AuO4zDhd1/j0a9LcCrggu5kc+RlPwO1o6wVHj+LF66dhzPyk/H896eCMqssy2FflRmzc8LX+0eLQi6TOq98c7QJ17+xF24fi3ShNeGffjgdM7KMeDGgndZIJQaOdQGrDuLvpb7dKV0w1QfsSQiXGQaAMwuTwTDAlpMm1AqrVUo5g3duPA1XLMiN6JgmpsVBo5ShuLZvwfA1r+zG69srsfCR9dhZ1oq73z8IgO8C0VVgZnhcki6op3BfMsNA56ZsnUqOCSl6XLEwF/EBLeQ0Sjkev2wWSv9yvrT/pVG42M1O6Exe1LU5pY5F6QY15DJGagEay1xeP9w+FgatEoVp/Ob1LKNGWtl0evw4WtfZJvWSOdmYnTv8f+f9QcEwiYrGDhcyjJph6z+YpFNJy7fzxgfXHRekxoHlgKrW8MuJ1a0OTPjd19h0vLmzTEKoGQZ6nqJX1WqX2vO4fIHBcHDAUmayIS9Zh1k5RqwUpjlVmx0oN9l7PEkFoprh2FTSyJ8w6ttd0sWU+Ldg1Cr7VJ+6q7xVqnkVR4G/uKU8aDk8GoNgRGXC63hmthGrZ2agyeLG7D9/ixc3l8HrZ7G7gm9tuLgwOWrH1JMEnQopcaqg284o4I9Np1Lg41vPxOb7VuDkIxdAxkCacDbSNAmbFsXWV18fbsCE332No/UdOPOxjbj3w0MAIG0qPHtqeo8bHA0aJZYUpuDFzeV4+KsSxKkVOPHwBVhcmBLxMSnkMkzPMuLVbRXYUdbS+wNCuPrlXWi2unDp3OyQwbAYwDIMH5AWpnYGw31NwKiEfRm6Hsp75DIm6HnF19K50zuTMkWVbShp4DdvJ+lVfDA8AtopihfpgTXhBWlx0t/8geo2eALONwMdnz6cKBgmUdGZGR6mYFg4+ankMkzP6l4mAYTe1CZO3vnPnmoAwJeHGgLKJBRSQNNT3fA1L+/Gne8d4DfuCI+Vy5igzHC7w4OGDhemZhrAMAz+umam9P2ONViwfFLvo04BQKmQSSc/EjvWPL8DAN+3VRygIq6SxGuVITephFJusuGql3Zhyv+tw8kmq7RcDHQGxgAGbbBBJBo7XIhXKxCvUeI0YZSvxeXDo2tL8cyGk3hhcxlS4tRYPTN2lobFk/vr1y/EF3cswfSszs28KoUM45P1UMplWCMsgY9E4qZFsabz0wN8H+V3d/PvZZ8cqIPd7UOr3YPsBC1e+emCXms9X/7JAtxzziSoFTLcsiw/4m5AgcRShV+8HdlGsq7lZHPHJWDfA+fgqSvnhFwtEwPX9Hi+Z3JgZrivwbD442m71CF/f+8KbL5vRcjH/PSMPBz647lB+2MqW+246a0iAHxXEzkzQoJh4d8+cKNifooeZc02cByHXeWtkDGQuon0dNEQ6ygYHmM8PhZ/+fJY1HavW11eXPLcdjRZ3MgwahA/jJlhgK9ZE/sPiyYInSVCbaK776NiAJ07yz1+NqDPsFxaMguXGTbbPahrd2LbqRbc+u5+mGweaJVyjE/SoVRo8wYAx4SJfFMy+UA9PV4DlVyGD/bVIF6twFWLIluGVMoYePzsqNkANBoEdi5I0CqlneXicm5fMsOBr5lLntuOF74vA8BfXDVbO5e73X1YHbC6vFLrqf4QV30AYFJ6PDbduwIVj67GoglJeHYj3+f1hiV5g14WNRDPXj0Xq2dmYHFBilTHGoqcGRnL2aEEDn/ocHqlCXFfH26Qbv+quAGtNk9Ql5qeaJRy3LVqIg49eC7uOKuwX8d1+0r+ceESI/uqzHgzYBJcSX3wtNIknarHpIrYh17sjJGTqJUyvH2tGZbLQmeG81L0GJ8cegOcTMbAqFNKF7un5yfhu18tl76eqBs5mWHxfSmwdV5BWhzsHj82HW/GMxtPYWa2UToP9rUMJZZQMDzGrD3SgFe3VeCZDSej8v22nWzBQWHWe/owZoYThTf7eSH6FMepFcgwaPDcplNSH+KuxJrgyha79POIE+iA8MvSJ5qCn+9IXQc0ShlOL0jGzrIW6XnFJbSpmXw2QSZjkJOkBccB15w2LqhOrSdiuzXfCHijBYAHPz+C2/+zf1S3sWroCO4TbXf7oFPJpSycQaOIuGb4aH1n0Gr3+LGvqk3a8R5YJ+z2RhYMF1WacdpfN+DCZ7fhVHPo135vGiyuoCEFE1L0YBgmaIPstULLqVgxPcuI5388HypFz6dAmYzBSK06ag4YSXy4tkO6WHJ6/FArZJiQosdH+2thtkceDIs0Snm/ssIAcGZBCn6xvAAtNnfIgPD+jw/jwf8dxeYTJgDA0S7BcG/Za7H/eq4QDCvkMqmcoq/BWoKQEe1PxlMMyjmO35h4plA+kRynhkzGSJNSY5k4ajswMyyupN7wBp/pLkiLkzL0w9ktZqAiCoYZhqlkGOYwwzAHGYYpEm77E8MwdcJtBxmGWT20h0oGwzHhjSU9SrU9JQHBZXaiVnpTuWNl/7IK/TU+WQelnMHySaGn3Y1P1sHh8eO8p7d0+9q6I434ZD+/xHi4rgNfFvOZFaVc1lkzHGbwxskuwXBpowVapRxnTU6D3ePH3oo2AEBJAz+RL7AP6/gkHRQyBtcvnhDxz6kUTu4jpW74zZ1V+Kq4AUv+NvoGHNjcPrTaOvsJK+UM7G4fbG5f0EVhsl6FihY7fvb6Hix/YlOPrbCO1VuQadRg070r8MilM/D9fSvw6s8Wws9y+Kq4Qapv9fTy++c4Ds9sOIkrXtwJmRDUfFhU2+efscbswJG6jqAyA9EVC3KRnaDFb8+fImUlRxq5DCMiaAmlyeJCplEDnUqOJ74pxa7yVvxoXg7W37Mc/73lDJwzLR0Hq9vRaHEhOa5vwfBAZRo18Po5tDm6TwQUzxGPrysFx3E4Wm9BSpwaz149FwCg6C0YFh4f2DNZLJXoa7CWqO//61Y8DvHV8/JPFuC/N58Oo1Y5YsokOkLUDIs9+kU3Lc2XficjOTPclzTdSo7jula8P8Vx3N8H84DI0Kpt40/M0VqyFLOoZ01Jw5LCFDAMg8rHfhCV7x0o06jFwT+eGzYzrZCHf4N9+KtjYb8mPp89TDB8vMkKhuGzAwA/vUejkuPMwmSoFDJsLG3GkokpKG20YGpmcC3zbSsLcfGc7KCsW2/EzLDXxwHRPb/1idfPYutJk/S51eXD0frQQdVIdd+Hh7D2SCMWTUgCwwDTsoxosXmwv7oGgUm1G5ZMQHmLHXsrzLB7/PjuWBNuWBL6AuhYgwWLC1MwIUUvZbuSdCpcOjcb+Sl6rJqajtXPbO21ZvhovQVPfncCF87KxKNrZuIX7+zDpuPN+N3q7r2se/LqtgowAH56ZvfMb26SDtt+u7LfGcRYoJDJ4BshF5ZdNVvdKEiNw4xsI/69mS+nuXvVROQm6ZCbpENjhxMvbWFhsrqR3MfM8ECJmWiz3YOULiO6xdHdR+steH17JXaWtQTt8+gtoE2L1+DHp43DD2Z19qSflWPElpOmbiVyvUkQyuva+9H6UNblda9XK6SaermMGRGrd6FqhjMMGmiUMri8LM6emi5NRAXGQGaYjB7ilbjTG1krsL7gOA4bSpqkrCTHcThU046rFubitZ8tDDkxLZp6KtHIMHS2wekaSIgXEKGIV8Th3thONNqkllLLJ6Xi6Svn4LfnT4FOpeB7Vx5vhs/P4kSTrVswvDAvCZfMjax/p0glBPW9ZQaH2+PrSqVlNtFzm8KPMB2JNpY2A+AvCB//0SwUCC38gOCWUOOT9Xj7xtNw9KHzMT5Zh13lrSGfr8XmRpPFjWldXicKuQxPXTkHd66aKGX4emv1Jx7HbSsKEa9RYuXkNJxosuG3HxVj9T+34qvihh4fDwBtdg/+u7cGF8/JDtkDG8CIDoQBPqAZATFLSM0Wt9S3XBTYR3jeuM6uOkn66I7JFoPhVltwZtjPcmiyuHDL8nxkGDR46MtjqO9wYVJ6HM6Zlo6rF43D/RdM6fG55TIGj1w6E4UBG9iuXzwB6+9ZHlF7ykBXL+R7Ci+ZGHnHDJH00g/x+pHLmKj2Au8vk9UtbJDrDIYZhsGu363C6flJuGFxHgCMqWCYA/AtwzD7GIa5OeD2OxiGKWYY5jWGYULOyWUY5maGYYoYhikymUyh7kKiSKwjcw1BMLyzvBU3vlmEp9efAABUtNjR4fRizgjoO/jHC6dJA0Hauyzd9XQ+l2p0Q3Rw4DgOx5usmJZlwNbfrMQL187DJXOzcd50PmOxbGIKKlrs2F1hhsfHSvXCAyFlhmMwGA58899+qhXzxydi+/1n4frFebhh8QSsPdLYraxkpGJZDgwDnD01DevuXorLF+RKm0cvnZuNd248LeTj5uYmhO3BKpY4TevSDSWQWiiT6S0zLPZCFSd4rRBa+f23qAbHGiy4/+Pibrv4u3pnVxWcXn/Q2NrRRi7DiFjO7sps96DR4kJOohbJcWr865q5eP7H84Luk2bQSL1whzMzHKi2zQEfyyEvWY8HL5om3Z4ar4ZGKceja2b2a6S3SiHrV2ngzBwjKh/7gVQn2xfihLk187onNGK5z3BHQBb8eKMVE1L03WrrE3QqvH/zGThTaKsnHwVlEpEGw4s5jpsH4AIAtzMMswzACwAKAMwB0ADgH6EeyHHcSxzHLeA4bkFqamTtocjQEXtPBg5/GCxtdv6P6IAwrEIskZgTYtNarDHqlLhr1UQAwRtPAEgThrr2JgU6yyt8bPfgw2R1o8PpxaS0OOQm6aQNFSIxE/z5wbqgzwdCDIave3U3nvgm9BSt3eWtQ/L778kn+2uR//uvse1kC/ZWmnGswYIlhSnITtDiwYum446zCiFjGHx+sD6i59tR1oIdp/rXpzQaTDY3XF4WyyelIl84kS4uTMF509Px6JqZyEoInUmdmZOARosr5EVBqdCreHpm+FISVQTBcJvdg4e+5Et/EnR8xifwZH/1olxY3T68vbP7JDmRy+vHGzsqsXJyKiZnDPwiLlbJYjho6ckXh+rhZzlcILSzu3BWVsjWdvOFnut93UA3UMlSMBz8XntIuBCcmW3EBTMzpRWUrqUUI0GaQYOyv67GlQu7dwKSMQxCnDKGXUmDBbMf+hb/3cu33ytttEodjnoirpAO9+rvQER05BzH1Qv/bwbwKYBFHMc1cRzn5ziOBfAygEVDd5hkoGrbHNh+qkVqATYUZRImYbeyWF91vNEKlUIW1G8xlom78k0BwfD9F0zB6pl8Jlch6/7nIpVJdMkMN1lcWPTXDQCAiemhf/5Jwu0fFNVCKWf6lX3oSqwvLjPZ8dymsm7L5bVtDlz50i784dPDA/5ekdpf3YZ7PuAb/D/81TF8d6wJAHBDwMbAJL0KafHqoM4L4bTa3Ljm5d245pXdQdO1YkmLjX8NBY4fP3d6Bl68bkGP9foXzcqEUavEpc/vwHPCOG5RfTvfz9eoC7+pR2wh5e4hGA4swxDLGBiGwR0rCzEhRY/frZ6KFZNT8eq2irDlFlWtDrTaPX0u4xlp5MzIWM7u6uP9tZiWaej1AlvsrpMU5Q10SXoVNEoZTnWZlHiwuh1qhUy6wBI3oSWPwGAY4DOmoUqFFDF4kbWjrAW3/2c/AOCRr0pgtntQ0+ZAQYjBJl2JmeGRutkUiCAYZhhGzzBMvPgxgHMBHGEYJvAy81IAR4bmEMlgWPK3TfjxK7uRnaBFkl7VLRhu6HDiZ6/v6fbm1BcNQtZZLMGo7+B3M/e1Tmu4iJlbsX3V6z9biF8sL4BWyd/Ocly3kgmF1MosOPjYX9UmfRxuA1xgpnnVlPRBuao+syAZ+x44G49cOgMAvwzp8vql34m4LFkapoXcUAjsaV3aaEW5yYbsBG23oC7NoAnqlRvOhpJm6eP/7A6fvRxOYkuiwF3YkUgzaPDZ7YtxRkEynvjmOD4Qhr4AQLPVhTRDz0GBQi6DXMb0mBneJ7w2v7xzSdDt9543GRt/vRwGjRJr5uXAbPegoqV7722gs5QoOcq1ptEWS8vZPj8bUX/4U81WFNd24Efzex8YcsncbNyxshAzs6O7cVUhl+GM/GSpfZpob6UZc8clSO+F4ia0eM3wtOQcKjKhz3Cs9IP3sxxuerMIXj+LO1YWwuLy4aEvjoLjOlvU9URcdcgcodMagcgyw+kAtjEMcwjAHgBfcRy3DsDjQru1YgArAfxqCI+TDEBgdufF6+Yj06iRJqGJHv6yBN8fN+E9YdJaf4h1iGJWrLHDiYwRNJ5RbJIulnnMz+OXEMXsBMtxOPjHc3HXqon451VzAITfQBeY/Qs34jQwYxDpUI3eMAyD5Di1FKS02jy44z/7cc8HBwF0Tsrrrb9qf720pQz3CWNeRV13VW8obQ5ZcpIer0azxd3t9q6qzHbIZQxWTUnDf/fW9LpZbDiILYmMfQyGAX5z3UvXzUe8WoETARctTRZ3RHWPKrmsxw2UZSYbpmUaMCNEACS+JvOEjVbhRpS3Cz9fQg9Z6tFAxjDgOMRE0PLU+hM487GNQcM0QjksDFBZPqn3TV8JOhXuPW/ysCxvL5yQhMpWB17aUoa3d1bC6vLiaH0HFuV19qe+TuhPPS6CgGwkkTNiJnWYD0TQanfD7vHjpqX5uPe8yVg9MwOfCSVrkQTDNy6ZgEN/PBc5iSP399Tr5RbHceUAZoe4/bohOSIy6Orb+TfPv/1oJmZkG6FVyoMyw26fH1uEK/QD1W0hn6M3/ztUL9V7Wlw+uH1+NHS4sDDgjS3WiZnhAzXtyDJqpB20YjDsZzkYtUrcc84k6THhyiQC/33jIhg0MhglEoHErgKtdg/2VJilGlWzkNEbqmD4r1/zdcoFaXG4bH4O9laYg5b6Z+cm4FBNe8hlz3SDBnsqzb1+j2aLGylxKvzkzDz89LU92FRqwvkzMnp9XDRZBhAMA3xQmpukk7o+AHzpTSR/T2qlDO4QZVD17U68u7sKpY1WzO2ljn98Er80Wh0mGB5IsD+SiKtafpbrsf1iNHx9uBEAsLvCjItmZ4W9n1gKZ9TGcG9FdO6REN8zcpN0YDlg0YRk6T5XLMzF5QtyRnxXkq7Eaw8/y8XEyqmYhBATN09eMQce3wFsLG3q1lc4FIZheizfGglGbrUziVhtG39CE8dHalXyoG4SO061wipMxQo3VjgcluVgc/tw13sHgm5vtrjR1GUyVawTM8NmuweTAjYFiVneULvK5VIwHJyJC5xI19Mb+VKhZU+4DVX9JW6IOVLXAYvLJ7XUE8skVEOQCfL5WamM5LG1pVjw8Hrc+u7+oKV2sRVPyMywQY12h7fXTifNVjfS4jU4bUIS5DImaCpbrBiMYHFckg5bT7bA4vLC52cj/nsKlxn+aF8tnttUhoYOV9hRsiKjTgmjVhkUjAcSd5yP9sywvJfWidEkXlSGa70nEt/DY720oGuLwD0VZihkDOaND75QG22BMNA55jlWamzF8rQ0YeVJo5TjxevmY/N9K/vVvWMkomB4FPP5WTg8PpQJdcB5wglQo5TjQE07bMKgiLVHGhCvVuCsKWl93li35oUdmPHgN91uL220wuvnpIlYI4E+oNtD4A55aZJQiPcthmGgCNFAXTwhiZOPwnnxuvnY+puVg54dSBHKJLad5DsutDm84DhOamg/FFmuhg4XOI5fgbjvvMnS7fsC6qcvmJGJiWlxmJnTPTMpvhGbrD2XSjRb3Ug38K2Wxifruo28jgUdTi9kTGSrAuH8YFYmfCyHdYcb0dDhgtfPSeULPVEpZCHHMZ9stiHdoMbdqyZK/VN7Mi5Jh6owwfCm43zd9kB+vpEgcGNQVasd3x1rgsvrj3o3lsoWu9TvXAyGj9Z3hCzfsLi8UMllURus1F9p8eqglm57KsyYkW3s1nVnNBJzEbFwkQXwJVhA8GRauYyJqERitKBgeBR7+KsSnPPkFuypNCNJr0K6sPnmrClp4Djgq2K+/c53x5qwamoajFpln/oPu7x+qX2aSFz6OlzL354Rphl/LAocyjE5vXtmOFz2ViHvHgyLFxrf/HJZj99Tp1IMyRuOQatAvFqBncKJ0+Nj0Wr34CNhQ9ZQnMztHjEjpcTtKwux9TcrAXTWYAN8oPbtr5ZJtYCBxDfipl5qIpstLqQK2YrpWUZ8c7QJb+6oBMtyuOe/B3vNnEVDmcmGRJ1qQFmtVVP50eEtdreUXc/rJaML8NnafdVtaOvSw/VUsw3Ts4z41TmTgoYvhDMuWYfq1s6sfrPFhXv+exBLH9+IHWX8v/FozNoFEms7/SyHy/69Eze9VYTznt6CW97ZF9XjEP+Or140DmUmO17cXIYfPLMN3wqdWQLZXL6YzwoD/GsnsNtFUVUbTpswcsrqBkIW8LqKllabu1sPfVG12QGFjAm7v2UsoGB4FCsz2VDX7sTXhxsxLdMgnbiuXJALo1aJA9XtKK5tR5vDi5VT0qBRyvsUJHXtSPDazxZI8+OLhU0cI2l3qS5ges6kgGBYr1bgn1fNwZs3hO4eqJTJutUM21w+6FXyYasHYxgG41OCA54FD69HfYcLBo1CGvQxmFxCNlJsvJ6TqMXySanShcGlQhuucAGU+Ebc1MMmOqfHj1a7BzmJ/IWJ2ND+wf8dxbMbT+GTA3X49QeHwj5+qNncPjz53QmsPdKIK0L0F+0LnUoBrVIOs80jlSv0Vt4AAA/8YBoaOlz4+VtFQZnDGrOjTxuRxifpUNvmlE7Y358w4ZMDdagx8xnKPwUMRRitZAE1w+KKRVWrI+giIRImqzto/HigU802vL2rChaXF0fqOqR+0gCfcPjj50fw9eEGaJVyqWfto2v5OtvAoRXtDg/u+/AQ3t1dDZ06trPCoq6DhhaNkWBYWnGIUjDcYnNj/sPrces7+0N+vdxkw/hk3YjuEzxQY/cnHwMCl5svnNXZCU8mYzB3XAL2V7dhdwW/YWlJYYq0sS7SndPlps42bFMy4nHWlHTpZHukjn9D78/Un+GiDthU1rW84eI52WHrNeVypltrtQ6nF3HDnJ0JlUW8etE4KcO99kjvI3cj0e7wBC0dq5X8vyPDMHjxuvm4cFYmlk9KxVNXzunxeSLJDNe180GhGAyvnJyGD245A3NyE/CUMPkwO3H4ViNe31aBZzachEohw11nTRzw8yXHqdBq96CxwwW5jAnqWxzO6fnJ+OXZE7Gvqg0tNv538/i6UtjcPmQlRP73OC5JBx/LSe28xDphg/C6XhNB666RTqwmEoPOZL0KyyalotUeOsMWyvZTLbjgn1tx3at7QrYO/N0nxfi/z45g1p++xYXPbsP5T2+V6oMP1bTjrZ1V2HqyBYVpcZiRZZAmGQKd3WEA4P8+P4oP99UCgHTBEuu69kEejMFDI4G0MTNKNcPiVNji2vaQXy8z2Qd9E/dIE/trKaRf/CyHylY7rliQg4tmZ2FxQXCbnXnjErH5hAmHatqREqdGcpwaWpUcLAd4/CzUip4zC06PX/QzKq0AACAASURBVBqQsPbupVJwolLIkKBTSu3VRtIGG4Zh8P29K1DT5uhTvZ1CJoM3IDNsdXnx7bGmYV/ym5ltxJfFDTh3WjqWTkyBVqXAxXOysLfSjGte3o1yU9+yW+HMeeg7LMxLxG0rCwEEt5XTKOX41zXzIrrAShReKw99eQwzso1BWaJ2hwd2j1+qm8wOKFlZNCEJn9x6Jj45UId7PzwU9dGygcqFcoYPbjkDWtXAs3PJej4YlssYpMapI15pEEfBNltd+HCfCc9/XwYAyOxD2ZJYSlFjdiA3SYcOpxdyGYOv7lqKw3UdUreV0Uz89xZXKx784XRUttix5YQJHh/ba1eWL4vrced7B6AT/iZarJ5uG5K6th4EgOLaDswfn4hG4cLwnGnpWDUlDQq5DAsnJGFjKV+zbXZ4wHEcznt6C0409b9H/HDp2h0lOcrDP4ZLYJeSoVZusuG9PXx5XKhEQYfTizKTLShhNhZRZniU+tu6Uri8LHQqBZZOTJWW+0RzxyWA44C1RxqlE6cYxLg8PS+fm6xuzP7zt3hjRyUSdEpMzTQgPuDEmCq0zdKp5CNu2SUvRY+lE/s2NlwpZ+APyAy/uaMSHU4v7hyEzOBAXDY/B1My4nHrigJcd0YeLpufA6VchjML+DHIVX1c6g1FrDHfW9kmtfPShLiQiqS2NPA+r2wtB8ty0jLiJc9tx+LHNkqlORO6TEWSyRhcNj8H88cnSp0chkO5yYbFhcmYkzs4I8gzjVrsr2rDzrJWpPeh5EisqW62uINqtvuaGQYgbaJrd3pg0PA17qFG+45GMikY5oPSlDiV1KmlLUz9ZaBXt1WgIDUO//rxPADBZQ0mqxtfFTdgd4UZ50xLR/lfV0v9y6vN/N+m2Lv9yStm46pF/KbHWTmd/aHNNg/aHV4pEF4xmX/vGiklLLlJOuz+/Srp896SMKOFPIo1w69vr4RKLsOKyalB3aI4jsOHRTW49Z194Dh+RWkso8zwKPXpgToAwMT00EsfgSfrQuE+Yq2n0+uHEeGzPg0dTnj8LExWN6ZkdB81nBqvxslm24jYxDEY5DJGqhm2uX14ZVsFzpqShpk50Z3q1FVynBrrwmzgy0/Vo6iqDU6Pf0AZzMWPbZQ+FmuGNcqBXwBtLG3G0sc3IT9Vj7dvPA2VQr/bzw7UIS9ZF3Y8a4JWKWXThkNtmxPnTh+8nse/Wz0Fv/7gEIqq2vo0JUzcLFvT5sC2ky3ITdJiSWEKpmdF/hyZRi3kMkZqzdjh9CFBNzYydyIxaBFfU2nxamncvNnu6bEMjGU5nGi04vIFuchNDO7z7fb5cclz26Vx4gaNEjIZg/OmZ4BhOoedNFpc0KvkQcmGwMEGrXYPWu181vqfV83BxXNG3njs4VzJGS6yKGaGy0w2TM2Mx4QUPfZVdnb22V/djvs+KkZ2ghZ3nVUYNOxkLBob0coYlKhTItOowVVhWijFa5SYOy4BHU6vNERCq+KDmN7aq4lXl3nJOpxR0P1qMkUIVMbCMioAKOUyqZvEpwfq0O7w4q5Vw5sV7s0tywpw7au78djaEvz54hk93reo0owWmwcWpxeXL8jBtlMtGJekw7gkXVDtpPi6GYzyAB/Loa7dibp2J375fmcP69JGK9bMDX/CN+qUUR01HYhlObQ5PCF7KPfX+GQ9PrjlDKw72oiJvbTpCyTWFn9+sB5Orx9/uXgGVkxO69P3FkszxIb87Q5Pn8dLj3TicraYoU2N00jtCc0h6oZf3VaBDIMGeSk6fH/cBLvHj8kZ8UgULiLMQvnYxpJm1LU78ffLZ6PF5sY509IB8KtzGQaNtGGysaN7b+nATjdbT5pw1pQ04dhGZicAxQhbPRwMnRPohj4Yrm1zYk5uAuLVCtg8PrAsB4vLix+9sAMA8OEvzhj0PvcjEQXDo9D/DtXjRJMNNy2d0GON4X9vPgMypvPNSMoMCxuh6tudSItXd3uzEgdKPP/j+ZiW1X3Dg3giHisnTrmscwNdXZsTKrkMs4c5K9ybJRNT8LMz8/DGjkrcuCQf45J1OFzbgRabGyunBAdNl/17p/RxnEaB297ldyTftqJAur0gVS+VTIQqk4jUS9fNx9F6C7adasG+qjZolDJpLKho7vjEsI83apXDVibR4fSC5SAFPoNFJmP6XJagVsihVsiwr6oNOpW830ug6QY1mqxiMOxF4hjL4skDyiRUchkMWoWUyQy1ie4vXx7rdtvkjHgk6FRgmM4AestJE+I1ClwyJ6vb+2tavFoKuBtDDFqZmWPE/+5YjJQ4Nc5/egt+/+lhAAi7WkJij9jnfaj7DPuFDbAXzspEnEYBjgMcXj/WHmmU7jOSOj4NpbF3STbKcRyHF4TNMlf20tpJpZAFvRFLNcM+Pzw+Fmc/uRmvba/o9jhLLxOOxGA4FsZMRoNCxkgb6NodHhh1yhHRf/UCYYRxpVA7fNG/tuH6N/ZKo7kBBI1SBhA04ELclJUSpwKHwDKJ/gfD507PwK/OmYRrhPrIL+5Ygl+ePRHLJnXWcc/rYZRwglYFm9vX7bijQVwCT4qRgFEciJGdoO337yTNoMGxegtufGMvDtd1hCyLGs0Cg+GUOL5vtHhBIGZ5Q0kM2Dg8KT0echmDBK1Seo2UNFgxOychZFY0Sa+CWSh9aOxwIcPQPWs3KycBWQlaPHzpTOm2wVyRiLYv7liCjb9ePtyHETXipsmhbq1W2WqHj+WQl6xHnJp/TRbXtONv6/jWfP+6Zu6IOFdFAwXDo0xxbQdKGiz4yyUzUJjWtxNX5wY6PxweHxweP3aWdR9gIJZJhCuDyBDq6CJt0TbSKeUyqfarzeEJOhHGMjHj1LXG9iev7ZEyWMe7lByIQ1biNQqsnJyKJy6bhRWT0+Bw+6XMsLqXHfaRWDMvG+vvWY6J6fH45dmT8FZAj+fAZeKujFo+ALQMQ3ZYHHIRM8GwcLE6kNr97AQtWmxubBC6F5wxxjbZiEFLk8UtXeQnilleR/jXmNfPYXEh/28lXpTwQa4HH+2rxcGa9rBt8pLj1Gi1eVDSYEFDhwtphvAZ3x/OzsLHt56JH582LmZed/0xM8eI/DHU2itardX2C9M/54xLkN4PrnllN+QMgy33rcSFs7KG9PuPJFQmMUrsONWCez88hHqhtu3iOX1/kYttgjx+VsryHahpB8dxQVePYplEuD66505Px9WLxkm1bKOdXMbA62fhZzmUNFjD9iOONeLmn2YhGI7XKKQLnWte3oV3fn4aDgl9Kf951Rzc/f5BabTy5vtWSiffo/UW2D0+uLx+qBSybp1L+oNhmG69ni+YkYEWm7vHGkNxg1e70xv1ZWNzjAXD4njxuAHU7t+2ogDLJ6fi+tf3AgAW5IUvURmNAjPDYlZcyvLagzPDgUNsxL7agf3Hk/QqmKxuKSsXLpMrttO78z2+Vj43sedBKfPHJ2J+D6VDJPZEawLdhpJmJOlVKEyNC5qw+spPF0Q0hXIsoWB4lLjvo2IpEF4zN7tfm9dUQpDh9XNw+/gsX7vDi/KW4IbcFmfP09V0KgUeXTMz5NdGI6Wc7ybx9s5KVJsdGCnVIRqlHAk6JU42822ZZAyDn5wxHudNz8CNb+7FlS/uxPhkPRJ1SvxwdhYe+uIYWu0eXDQ7Kyj7rVfL4fDwmWHtAEokevPCtfN7vY9ROK4HPj2C6VkGPHDh0LaYsrl9qGtzYnJGPJqF2tqUGKndFDOSA8kMpxk0SDNokJOohcnqDupqMBaIrSF9LBf0exWzvIHswqTFm5fl4+5VE6FSyKAKWHxN0qvwzdHO8cnh2k4mx6ng8bE41WzD2VPTpCmL5P/bu+/wuKpr7+PfNerVkm3ZljvGDYwLYIwJwWAcCAEMJDcEQggp5HKTe1N5CYEUSIHUexMgCUnIhYQ0Ql5SCCQvoZpqcAFTbMC9N7moSyNpZr9/nDOjUbEtS0czI83v8zw81syckbYWZzRr9ll77cEjO74DXf/9jLZIlMff3MOV8ycQChljygr4+uLjGVNeyInj9eGpMyXDg4BzrsNl4f/5wOxefZ+ceDLcPjMM3g5Kf3tlB/+1cDJR51i17WDGLI7riayQEYm6eBeDndWpa+11tBZNH8lfXtnOdedOo6aplaFFuZw+eTj3fmweV92zjA1VDSyYWoGZ8b6TxlCQk8Xn3zW1w5WCwtxsIlHHwcbWfk2Ge2KIf14u3bif3bXN/Z4Mf+H+VTy2Zg+/vXreUe0SlwxF/pa8iTuW9dajX1hAknaOTSvzJw3ls2dPZmdNc4fttYcX58V3+GxujRBujca3He88CxfT+YpBY0v3XXtOnzyc0yYN49K5Y7l4zpiMWXuRSWL/TzvvXBqkg42ttEVdh57sHz39mH77eQOdkuFBYEd1E3Xh9mbavS2Ij61w9ZLh9j/UNz24GvBmmB5dvYeXt1ZzwpjM2DazJ3KyQtS3tcXLTH71sVNSPKKeu2bBJP788nbO+P5TQPsb9qmThnHujFE89OrOeGeMr1zQfWIZ656wcV/qe0uXJXxIS9yOPNwW4aq7l2EGf/jE/EBKORpb2nhsjTfTt2anV985sqTnu8T1t6IAZoZjCnMz862iJD+Ha8+d1uX+kaX58RKij/96OS9s2M8jnz8DoNtEGNqvGJw9fQRPvrWXxbO7L2WbMXoI910zP4jhS5qK/f3pz9Zq6Va2le4y8y/cIPPWLm9G8vbL53TZ3vJoxMokWtrak+H8nFB8lnhndTMr/JrRDFkb1yPZ/szw3towU0YUc/rk4Ud+UpqYOrKYBVMryM8OMbqsgHOPb98w4vp3T2NyRfERu5LM8Nvrrd5Zy4kB7bzWW6OG5FM5JJ/hxXm8vqMmvqnI6p21vLTpAAC3Pb6WS+eOY0xZQY+S4nBbhHV76jmh06YXiVcAappa2VXTlFb14rEFsbFV5BKcESV57K5pZtO+Bl7wFxnHehHHZuQ7u+LU8YwoyeP9J48LpBe3DFztO9D1/XuF2yKs3V3fZZOn2GYsmbLFdV+pm8Qg8OauWgAWHTeyT82zE+vjmv3FIHMntCfXyzcfiH8dbkt+66p0lZ0Voj7cRlV9OG0ukfeUmfGbj8/jrqvm8vWLZnRI5sYNLeRz75pyxARvemUJOVmGc6nvLV2Ym80LN5zNh0+bAMB5tz9DbXMr6/3tagHueHI9Z3z/KeZ9+wm2+ZsbHM5Pn1zPxT99nupO2+/u9HcPA2/HvBc37md2ij8MJIqVrKR6tn4wKi/KJdwWZeF/L4nf9/r2GqC9VruzyiEFfPi0iUqEhZCfeQWxgO4bD61h8U+e440dNbRFojS2tPGzJRvim+UMKxpY70mpomR4EHhzdy0ThhUe8o9wT+UklEmE/ZnhxB3mVu+sjX+d6trQdHLapGFsrGpg5ZaDVA7JvJ188rKzOK7Smx1OhwVWZsYI/0PJlv2NLN2wn3V768jLDvGzD50UP25ffZjrH3jtsL0+o1HHAyu3E4m6+Ba5MYnJ8Fu76xhdVhDfzTEdfGbRZK47dyoXzjq6DTvkyMYN9Vbif+z0ifGSsTuXbCA/J9SlC4pIZ9mh2MRT7yeV6ppb+eZDa3j4VW9Togt//ByX3fUi1z/wGt975C1+/rTXB15lEj2jZHiAqA+38caOmm4fe2tXXSDN8HOyE8ok/JnfYzv1fpw+qoTPnj2ZOz54Yp9/3mBx5fwJ8TrROYfZEGIwm+VfokuXWch5xwxlbLn3wWRDVT07q5sZU1bAe2ZW8pMr2s/dpRv389BrOw/1bXhx4/54l5atB7omw4lVFl+78Pi0+DAQM6Ikn0+fPYURpelTujFYXDCzkif/z5ncvHgGf/nU6YC3Hfm/nTQ23t5P5FDyc7z32nBr75PhZZsOcM/zm+KbYAGs3HKQh1/bBXgf0I+vLB3Qm7Ekk5LhAeLa+1dx4Y+fi/f4jWlqibBpf0N8Zq4vElurxWqGK0o6vpDOnj6Ca8+d1mGFaqbLzQ7x64+dwqjS/IzprdzZrDHeh4B0SYYLc7N59vqFjCkrYNXWavbWtW9ekPjBsawwhxfWd91YBrwuLb98diNF/mXth1/bGe8YALCjujneqxnoU72+DCxZIYtvEpGbsMnMx9+p1fpyZIX+35TG1u47ivRE4gLhmFvfe0L866yQ8f33z9IOcz2kZHiAiNXrvukvlotEHY+v2cPV9y7HOZg4rO/JaWJrtViZROeeqe84duAsDkumM6ZU8OKXFzGmDzXbA9mscd7McG/6W/cXM+OMKcNZumE/O6ubGVHiJa5jEzYxOHFcGcu3HOCRN3bF+8TGPL9+P0+9XcUHThnHp846lkfX7OEj9yyL76y4s7qJ0WUFTPSb1+tyZOb67vtm8qmzju1yJU2kO4m7vfZWLBm+5ZL2BPjs6SO4/5r5nDZpGF85/7gui37l0NJjGkeOqKwwl4ONrbyxo4YVWw5w51MbOsxS9WXhXExWyAhZxz7DiZf8fvXRU3jnFCXD0tWUESVcOX88C6el18z4gqkV/HH5NurCbZw/0+uUEXsjWjx7NCeNL+MbD63hk797makji/nfq06J78y0do/3wfPTCyczrDiP0WUFfO1vb/D8+v28c8pwdtY0MWtsGXd/ZG6H16JknsvnjU/1EGQAibUqbGw58t+NO5esZ1NVAz+4tH3/gAMNLfzPY2sBr0xv3Z467l26hREl+VQOKeC+azJr2/QgaGY4TdU0trLg+0/x3Lp9vP9nL7BpXwPgLWK7f/k2xpYXcM7xI+PHjy4Lpi4wJytESyQa34EucaHcwgwtAZAjywoZt1wyk+NHp1f/6cQ2d4mLG9fd+h5uv2wOFyQsLttV3cxldy1lb117jXBxXnZ8xvfSk8cyvDiXu5/bSDTq2FXdzOiyfMoKczvMNouIHE7sfbWpBzXDL248wJ9f3k5NY3uJ5Eq/xWnMzYtn8Na3zkubHucDkZLhNLVubx1bDzRy5d0vxXv7AizdsI8t+xtZPHs0V/nto4AOtYt9kZsVorXN0dIWxay9w4TIQDQkodVb4uLGnKwQoZAxoiSfipI8CnOzmDO+jF01zcy79QkeXb2bLfsbmDCsMF5zl5+TxZXzJ/DU21U8umYPLZEoozOwe4iI9E1sAd2r26qPeGxjuI2og6/87XUm3vAPfv38JrYf9Bbzfv5dUwBvE498dXjqEyXDaaqmqbXLfdNHlcRXts8aO4SygvYShkPtc3+0crJDtEaitEQcOVkhFd/LgPeZsycDcMLo7uvnnrruLJbesKjDrMo1v13Jy1urmTCs44zve07wZpI/+buVQDDlSSKSWWLvq4+s3s3KLQcOe2yDX1cc6xLx9YfW8I2H1mAGn1s0pX8HmkF6lEGZ2WYze93MVpnZCv++oWb2mJmt8/8t79+hZpbYVorPXr+QL77b2w70A3PbdwI7aXw5ZYXBL1bKyTJaI1FaI9F4dwmRgezac6ay7tb3dFj1n6g4L5shhTncvHgG754xkv84cxIh8z6Qjh/acWHqmPKOyW9Q5Ukikpn+vurQrR3h0HXF1507TZNVATqabGehc26Oc26uf/sG4Ann3BTgCf+2BOSgv9tVeVEunzrzWJZ9eRHnneAtAJo7oZwi/w08aDlZIVojjtZINF4ice/H53HPR+ce4Zki6cnMenTl5JjhRfziw3O58T3HceGs0QBdPnB23tgm1qFCRKQ3/vnG7sPuRNcQbu84ccpEb87xO++byX8tnNzvY8skfekmcTFwlv/1vcAS4Et9HI/49je0kJsVoig3y9tRy68JfuaLC6n0Z6NK/DfmEwPc6CE3K+TPDLcnEGdOrQjs+4sMBDctPp6GcBsXzDz87m39cXVGRDJHVV2YZZsOdNjtNVFDuI1PvPMYFs8ezYjSPJ5ZW9XhKrEEo6czww541MxWmtk1/n0jnXO7APx/1WogQHtrwwwtyu1yGWT8sMJ4kmpm/OvzC/jNx+cF9nNz/GS4pc0FVocsMtAML87j7o+eEt92N9GPE3Zf1GtERPoiPyfEv1bv7vaxSNTR1BqhKC+b2ePKqBxSwGWnjFd5RD/o6czw6c65nWY2AnjMzN7q6Q/wk+drAMaPVy/Gnlqx5QCzxx25Yfa0ALZhTpSTbf4CuughayxFMlliS0MRkd74w7+fSm5WiB8+tja+qVZnv1m6GYCiPHWK6G89ynacczv9f/cCfwXmAXvMrBLA/3fvIZ57l3NurnNubkWFLrf3xP76MNsONDF3QvK3d83PzqKxJUJrmxbQiXQnTx8SRaSP3nHscOZOHMrJE8p5c1ctzZ22Zt5T28w3HloDQFGe9kfrb0f8q25mRWZWEvsaOBd4A/g78BH/sI8AD/bXIDPF8s0HWL2zht21Xvu0seXJb9tUXpTLgYYWbwFdti7FiHSmS5QiEpSJw4qIOtjlt02NifUSBq9sS/pXTz5ujAT+6r8BZAN/cM49YmbLgT+Z2dXAVuDS/htmZrj050sBOL7S28VrRGnyXwDDinJ5dVs1FSV5qocUERHpR7F2jTsONnHM8PZWjtsPNgHepNgi7f7a746YDDvnNgKzu7l/P7CoPwaV6dbsqgVS07ZpqD8z3NIWVTIscgj3XzOfYcW5Rz5QROQwxvgb9yTOBANsO+DdfuwLZ5Kt9+J+pwin0GvbqznY0EJts7fbXMhg2sgShhV5b7IVJcmfGR5alEtb1MVbu4lIV6dOGsbkEcEuXhWRzDNqiDfptac23OH+1TtrGT+0kIJcLZ5LBlVlp8iz66q46p5lOL/X9vXnTSPqYPHsSqaMLOHJN/emZK/x2GzXnppmxqWgZllERCRT5GSFyMsOddlpbtW2auZOTP4i+kylZDgFdlY38Zn7XoknwgDff+RtAEoLcnj3jFG8e8aolIxtaJE3G10XblOZhIiISD8rzsumPtyeDO+pbWZXTTNzxgW3oZYcnrKdFLhzyXoaw5FuHyvJT+3nk1iJBqA+wyIiIv2sKC+bhoRkeNW2agAlw0mkbKcXNu9r4OYH36A1Ej3q57ZGovx91U4umFXJvGO6XgIpzU/t9q5DE5NhzQyLiIj0q6K8bOrDEZx/uXjVtmpysowZo0tTPLLMoTKJXnh2XRX3Lt3CRXNGc3IPN8bYU9vMhqp68rJD1Da38e4ZI5k/aRhL3q5iaFEuV92zDICSNEqGVSYhIiLSv4rzstjfEOaqe5YxrCiXPbVhjqssTcm6oUylZLgXwm3ejPDLW6qPmAw75zj120+wt85bKfrl86cDMKmimLLCXC45cQwAt1xyAis2H0j5J8H8nCyKcrNoaIlo0w0REZF+VpCbzTNrqwAo9LtHvNfPDSQ5NPXXC7FkeOWWg0c89q3ddfFEGOAXT28EoKLTjjJXzp/AbZefmBbbLg71O0poZlhERKR/bfd7Cp88oZzGlgiNLRGOq1SJRDIp2+mFllgyvPVgvMbnUH7/0pb41+WFOexvaCE7ZAwpSG05xOGUFXjJcEkaJOYiIiKD2cZ9DQB86+IT4vdNH6U+5smkZLgXYjPDVXXh+JaJ3dlYVc99y7bFb//wA3MAb5/xUCh9SxDMH1oqNv0QERHJJB+cNw6A4ypLeOaLC/nkmccyW50kkkpTf70QmxkGeHnrQcYNLez2uNufWEd+doinr18Yb1k2fVRJvCYoXUX92e7hxUqGRURE+tOtl8zk6xfNwMwYP6yQG94zPdVDyjhKhnuhJRJhSEEOrZEoL285yMVzuha6t7RFeXzNHi45cUyHpPJXHzuFtsjhSytSLdYxbrhmhkVERPpVKGTkhdJ7kmywU5lEL4RboxTmZnHC6CHcu3QLb++u63LMml21NLREeOfk4R3urxxScMiZ5HSRk+XVSaT7DLaIiIhIXykZ7oWWSJTc7BDvOn4EAM+t38dLG/ezoao+fsz+eq+DRGVZQUrG2Bc/umwOHzp1PNNGqoBfREREBjclw73Q0hYlLzvE1e+cBMC3Hl7DZXe9yHf++Vb8mOrGVsDrIDHQHFtRzK3vnUm2WquJiIjIIKdspxfCbd7McFZCR4iQQVV9ez/h6iYvGY61KRMRERGR9KNkuBe8meGO9bQThxdxsKGFlrYozjlqGlswg5J8rVEUERERSVfK1HqhpS1KbqcSguNGlbLk7b2c+YOnWDh9BH94aStAWvcTFhEREcl0mhnuhXBbhNzsjqGbMrKYhpYIu2qa44mwiIiIiKQ3JcO9EPYX0CXqbre2b793ZrKGJCIiIiK9oDKJXoi1VgP46RUnsWlfPSNK8uOPP3v9QoC07ycsIiIikumUDPdCYzgS35DiglmVAKzb077xhpJgERERkYFBZRK9UNvcSml+x/7BSoBFREREBp6MTIadczjneH17DY+8seuontsaidLYEmFIQcdkOD8ni8LcLN5/8tgghyoiIiIi/SgjyyTO/MESTp5Qzl9f2QHA5u9e0OPn1jW3AVBa0HVnuTXfPC+YAYqIiIhIUmRcMuycY+uBRrYeaOzV82v8neVKCzIudCIiIiKDTo/LJMwsy8xeMbOH/du/NrNNZrbK/29O/w0zOPVhb2a3OK89mQ23RQ55/I7qJn734haccwDUxpLh/K4zwyIiIiIysBzN9ObngDeB0oT7vuiceyDYIfWv6kYvmb1p8fE0t0a46cHV1Da1UVGS1eXYaNTx+T++wvLNB5kxupQTx5fzuxe3AN2XSYiIiIjIwNKjmWEzGwtcAPxv/w6n/8WS4fLC3PgiuNrm1m6P/dOKbSzffBCA9975Aiu3HOQvfp3xBHWPEBERERnwelomcRtwPRDtdP+tZvaamf3IzLpuwZaGqptaACgrzInP7tY0tdLY0kZbpP3Xi0Ydtz2+jlMmlrNgagUAf3hpK5Go49pzpjKiNL/rNxcRERGRAeWIybCZXQjsdc6t7PTQjcB04BRgKPClQzz/GjNbYWYrqqqq+jrePmufGc6J1/0eqG/h/NufEYxwrwAAFURJREFU5dv/fCt+3Krt1eyubeaKU8dzx+VeOfTLW71Z4qkjS5I8ahERERHpDz2ZGT4duMjMNgN/BM42s98553Y5Txj4FTCvuyc75+5yzs11zs2tqKgIbOC9tb8+DHhlEhXF3mT2L5/dyOb9jaxN2EXu5S1e4nv65OGUFeYye+wQNu1rYFRpPgumDk/+wEVEREQkcEdMhp1zNzrnxjrnJgKXA0865640s0oAMzPgEuCNfh1pQKrqw2SHjPLCXMaWF1CSl81Lmw4AsLu2OX7c6ztqGFWaz4gSrxxi1BDv369ccByFuWqrJiIiIjIY9CWr+72ZVQAGrAI+GcyQ+tfe2jDDi/MIhQyA40aXsmzTASpK8thd054Mb6iqZ+qo9nKIxbNHM6IknwtnVSZ9zCIiIiLSP44qGXbOLQGW+F+f3Q/j6ZN99WG2HmjkpPHlhzymqj5MRUn7Wr8ffmA2r2+vYdP+Br7/yNvUNLWy42ATb+yo5YpTx8ePu3DWaC6cNbpfxy8iIiIiyTWorve/4ztP0hKJsvwr78I5123Hh901zVQOab9/bHkhY8sL+fPK7QDM/saj8cdGD1HHCBEREZHBrMc70KW7msZWWvzWaKfc+jjzvv1EfLe5mPV763lrdx1zJw7t8vyhxbnxr8/0W6l55dAiIiIiMlgNimQ4GnUsWbu3y/2/eHpDh9s/emwthblZfGDuuC7HDitqT4bv/NBJXHXaBD44b3yX40RERERk8BjwZRKvb6/hyrtfoqapfRe54ytLWbOrlh8/uZ4LZlUybWQJN/99Nf94fRefWzSlQ81wzNCEZLgoL5tvXnxCUsYvIiIiIqkzoJNh5xy3Pb4W5xz/edaxhNuiFOZmcenJ41jwg6cA2LC3gTd21PKbpVsAuGbBpG6/17CiAbGBnoiIiIgEaEAnw69sq+aJt/Zy7TlT+eyiKR0eK83Ppra5jRv+/Bp1fu3wd983k6K87n/lgtwsAM6fOap/By0iIiIiaWNA1wyv31MPwCVzxnR57IUbFwHEE2GA4ypLD/v9Xv/6udx++YkBjlBERERE0tmAToY37W8gO2SMLuvaAq04L5vC3CyyQ+0dIcoKcw77/Uryc8jJGtAhEREREZGjMCAzv9e317BpXwNPvrmX8UMLyT5EAvu+k8Zw0+Lj47fLCnK7PU5EREREMtOAqxlujURZ/JPnAMjPCXHHYcoabrlkJgA3PbgagJL8AffrioiIiEg/GnDZ4ZqdtfGvH/jkOzhhzJAePzcU0iYaIiIiItJuwCXDF//0eQDuv2Z+jxPhJdedxbaDjf05LBEREREZgAZcMhwzflhhj4+dOLyIicOL+nE0IiIiIjIQDagFdK2RKODtFjeqtGsHCRERERGRozGgkuG6Zq9n8GfPnoyZ6n9FREREpG8GTDIcjTrqmlsBrx+wiIiIiEhfDYhkeP3eeiZ9+Z889OpOQC3SRERERCQYAyIZfnnrQQB+8fRGQDPDIiIiIhKMAZEMV9WFAagLezXDmhkWERERkSCkbTL8f1dsY+IN/6CmsZVXt1UDMH1UCXnZISqHqJOEiIiIiPRd2k6x3vWMVxKxbPMBHl2zh0+eeSxfOm8aza1RCnKzUjw6ERERERkM0i4ZfnVbNeG2KOv21gPw4sb9AJxz/EjMTImwiIiIiAQmrZLhbQca49stxzy/fh8Ak0cUp2JIIiIiIjKIpVXNcE2T10d44bSK+H1v7a7jhDGlDClQBwkRERERCVZaJcOx7ZavesfE+H0jS/P4+ZUnp2hEIiIiIjKYpVWZREublwznZYV4/NozWbnlAPMnDWNseWGKRyYiIiIig1FaJcOtEQdATnaIySOKVScsIiIiIv2qx2USZpZlZq+Y2cP+7WPM7CUzW2dm95tZbl8H0xKJAJCblVbVGyIiIiIySB1N1vk54M2E298DfuScmwIcBK7u62Ba2vyZYSXDIiIiIpIEPco6zWwscAHwv/5tA84GHvAPuRe4pK+DafEX0OVmKxkWERERkf7X06zzNuB6IOrfHgZUO+fa/NvbgTF9HUyrv4BOZRIiIiIikgxHzDrN7EJgr3NuZeLd3RzqDvH8a8xshZmtqKqqOuzPis0M52R39+1FRERERILVkynY04GLzGwz8Ee88ojbgDIzi3WjGAvs7O7Jzrm7nHNznXNzKyoqujskLtZnWDPDIiIiIpIMR8w6nXM3OufGOucmApcDTzrnPgQ8BbzfP+wjwIN9HUysz3COaoZFREREJAn6knV+CbjWzNbj1RDf3dfBtGhmWERERESS6Kg23XDOLQGW+F9vBOYFOZgWLaATERERkSRKq6yzNRIlO2SEQlpAJyIiIiL9L62S4Za2qDbcEBEREZGkSavMszXitOGGiIiIiCRNWmWeYc0Mi4iIiEgSpSTzXLOzlqaWSJf7w20R8jQzLCIiIiJJkvTM82BDC+ff8Sw3/uW1Lo/tr29hWHFusockIiIiIhkq6cnwnrpmAF7dXtPlsb11YSqK85I9JBERERHJUMlPhmvDABTndW1xXFUXpqJEybCIiIiIJEdSk+EdB5vYU+PNDHdOhptbI+yrDzNCybCIiIiIJElSk+G6cBt7ar1kuCghGW6NRPmP364E4LjK0mQOSUREREQy2FFtx9xXrZFovFa4NRLlxr+8Trg1QlbIeHptFV+78HjOO2FUMockIiIiIhksqckwwDPrqgCoD7dx37Kt8fs/u2gKV7/zmGQPR0REREQyWFLLJLJDRktbFIC3d9d1eOzTCycncygiIiIiIslNhhPrhOvDbWSFLH5b2zCLiIiISLKlLBkeWZrHY19YkMwfLyIiIiLSQVJrhotzs6kDPnTqeG5ePIPc7BDXnTuVMeUFyRyGiIiIiAiQ5GQ4LyfErMnDmHfM0HhZxKfPnpLMIYiIiIiIxCW9m8TvPzE/2T9SRERERKRbWrUmIiIiIhlLybCIiIiIZCwlwyIiIiKSsZQMi4iIiEjGUjIsIiIiIhlLybCIiIiIZCwlwyIiIiKSsZQMi4iIiEjGUjIsIiIiIhnLnHPJ+2FmVcCWpP3AwW04sC/VgxhEFM9gKZ7BUjyDo1gGS/EMluIZrAnOuYojHZTUZFiCY2YrnHNzUz2OwULxDJbiGSzFMziKZbAUz2ApnqmhMgkRERERyVhKhkVEREQkYykZHrjuSvUABhnFM1iKZ7AUz+AolsFSPIOleKaAaoZFREREJGNpZlhEREREMpaSYRERERHJWEqG05SZXWFms/2vLdXjEUmk81PSmc7P4JmZ8oUAmNlFZnZsqschHenkTjNm9i4zexa4DTgRwKmwu0/M7BIz+1aqxzEY6PwMns7P4Oj8DJafuF2b6nEMBv65uRS4G6hM9Xiko+xUD0DiMxf5wL3ACOAW4GKg0H88yzkXSd0IBx4/piHgY8ANwAQze9Q592xqRzbw6PwMns7P4Oj8DJ6ZZQP/B/gUMN7MnnTOrVIsj45/bhYB9wElwFeBzwMTgOfMLOSci6ZwiOLTzHAacJ4m4PfOubOcc/8CXgA+7D+uPz5HyY9pBFiPN0P0n4Bm33pB52fwdH4GR+dn8JxzbcDbwHTgWuAX/v2K5VHwz8164Hf+ufkE8AjehzWUCKcPJcMpZGafNbNfmtm/AzjnHvTvzwI2AavNbFwqxzjQJMT0E/5dTzvn6pxzvwSKzOxq/zid+0eg8zN4Oj+Do/MzWH48v2tmH/Dv+odzrtk5dxswwsyu8I/LSd0oB4aEWF4K4Jy7378/C6gGtplZXirHKB3pD26KmNlHgSuAPwNXmtmXzWwSxD991wKz8V440gOdYvphM7sRmJRwyE3AtWZWrk/kh6fzM3g6P4Oj8zM45vkCcBmwAviGH9/yhMOuBX4A4JxrTfogB4huYvlNM/uomVVA/NzcBFzgnAuncKjSiZLh1FkEfM859whebVYucGXsQefc60ATcHlqhjcgdY5pPvCh2IPOuf8HvAlcY2YlsU/t0i2dn8HT+RkcnZ8B8RcYLgS+6px7APgC3geJdycc81dgrZldB95isFSMNd0dJpbnJRzzArDdzC5KzSilO0qGkyzh8ucrwIUAzrkVwIvAaDM73T/OgEeBfLUGOrzDxHQpCTH1fQn4DrAOGJXMcQ4EOj+Dp/MzODo/+6ZzLBLiuQI4A8D/gLEWmGFm0xIO/xTwfTPbDYxJwnDTWi9iOd0/rhR4C9AMexpRMtzPzGyU/28IOhTMPw+EzGyBf/sNYBcw2j/O4a2MblBroI7MbIaZ5cdu9zSmZjYZuBP4G3CSc+7HyRt1euptLHV+HpqZnW4JfUR1fvZeb2Op8/OQChJvJMRzPVBiZjP9208DQ/A6IGBmc4Bf4pWlnOScuzc5w01rRxvLYv+4WmAsMDJJ45QeUDLcT8zsRDN7An+FeOyFkvDpcR2wGrjMvHY12/FmgiYmfJvrnHP3JG/U6c3MZpnZc3itk4Yl3N/TmNYAn3bOvc85tzN5I08/AcQSdH52YGYnmdmjwJN4b36x+3V+HqUAYgk6P+PMbL6Z/Rn4qZmd6y/kirVQA1gGRIBzzCzbObcGb/Z3rv/4fuA/nXOX6tzscywBLnfO/TqZ45bDUzIcML+A/kfAb4B7nXP/nvBYYk/BOuBZvFq3/zZvhW453h8dAJxzLckb+YDwVeAB59x7nXM7IN5DtEcxdc5VOefWpWDc6ahPsQSdnzFmlmNmvwDuAu4A/gWc5T+m8/MoBBVL0PkZY2Zn4V1x+Ateu7QrgXL//agNwDm3HlgOTMbrew0QBrb4j2/z67AzWh9juTn2fZxzzckbtfSEkuGA+ZfkSoBXnHO/ATCzYxMTYfN2m/oD3kzQTXh/xJ/1b+vyUydmFvIvldb7bX4ws3PMrAww//YtKKZHpFj2izzgGeAM59zDeG+Ux/mzQhEAM/sGimlPKJbBmwUsd879HvgdkIP3+o+9H91iZncDK/E+gMwzs5XAAbwPI9KuL7F8NEVjlh7QDnQBMLP5wAHn3Fr/rmuB5WZ2E96K3D1AvZndBtQDxwI3+p8gMbOPA0XOubrkjz49JcbUORc1s73AGWZ2IfAJvHqtPcCbZnYfXosqxbQbimXwOr3mG/w3x5gsIOKca/MX2cwEpgA3OOc2+M9XTH2KZbC6eT96Bvi6me3E29zlTeBOM/sXsA3v9X6Tc26z//wrgGznXMa3pVMsM4hzTv/18j+gDPgH3iW7r+L9QY499llgFbAAb7bje3irxCsSjgml+ndIt/+OENMvAy8DF/m3FwAPAqcppoplKmOKN6se8r+ejPfhojz2mGKqWKYgnsUJj80D7gH+zb99Nd6CuNmKp2Kp/5zKJPqoCO8y0mf8r2Mrm3HO3QEsdM4947zm2n/DK6BvhC71w9LukDEFHsZbIDPUv70C2A00g2LaDcUyeN3G1Hmi/gKvzf4xZ8YeA8W0G4plsDrH84zYA865ZUAFfg0w3sLEMuAgKJ7dUCwzjJLho2RmV5nZmWZW6ryFR3cBf8JLIk41s9GxY51zBxOeejLeZZSI/5heLL4exHQMgHPuNeCLwH+Z2XC8xQszaV+AlPExVSyD19PXvJmZH7dYq7rYBwsDxRQUy6AdRTzzgBfwLu2Dt2nJUP84xRPFMtMpGe4Bv0NEpZk9BXwEb9eon5nZcOft3d4IPI63kOPshOflmdlZZrYCr3b4u06rSIHex9Q5dzdwH/B14N+ATzjntib9F0gjimXwehNT55wzr+NBPd6l/vmx+1PzW6QHxTJYRxnPRQD+1cm/A8Vm9gzwQbw2fntT81ukB8VSYrSA7gj8P8gRMysBdjjnrjSvn+CP8D45vg/AOfe8mc0DppvZEKDFOddkZi3ALc65v6Xsl0gzvYjpND+mUedcnXPuh2aW45zL+B18FMvg9eE13+q/eQJ8XDFVLIPWy9d7GRB2zq02s48Alc65jSn7JdKEYimJNDN8CGaWbWbfBr5tZmcC02gvcWjDWyB3mv9YzC/xdpl5HNhsZqOdcy8oEfb0MaaPAetjl6oy/c1RsQxeADHdpJh6FMtgBRDPzWY2xjnXlOnJm2Ip3VEy3A3/RbAS79LIerxd5FqBhf4nxNjlum/iXWKOuQCvjmgVMNNl+E49iQKI6asopoBi2R8U0+AolsEK8P1oRxKHnZYUSzkUlUl0Lwr8t3Put+BtrQwcg9fg/WfAyeatdP4r3otoovP6CjYD73LOPZOaYac1xTQ4imXwFNPgKJbBUjyDo1hKtzQz3L2VwJ/M33MceB4Y77y9xLPM7DPOWzE6Fq8h/GYA59yDerEckmIaHMUyeIppcBTLYCmewVEspVtKhrvhnGt0zoWdv/0ncA5Q5X/9MbztQR/GW4n/MrS3/JHuKabBUSyDp5gGR7EMluIZHMVSDkVlEofhf3p0wEi8Virg7UjzZeAEYFOsdsivM5IjUEyDo1gGTzENjmIZLMUzOIqldKaZ4cOLAjnAPmCW/4nxa3htqZ5TEX2vKKbBUSyDp5gGR7EMluIZHMVSOjB96Dk8M5uPt9vMC8CvnLdRgfSBYhocxTJ4imlwFMtgKZ7BUSwlkZLhIzCzscCHgR86b+cZ6SPFNDiKZfAU0+AolsFSPIOjWEoiJcMiIiIikrFUMywiIiIiGUvJsIiIiIhkLCXDIiIiIpKxlAyLiIiISMZSMiwiIiIiGUvJsIhICphZxMxWmdlqM3vVzK41s8P+TTaziWZ2RbLGKCKSCZQMi4ikRpNzbo5zbgZwDnA+cPMRnjMRUDIsIhIg9RkWEUkBM6t3zhUn3J4ELAeGAxOA3wJF/sOfds69YGYvAscBm4B7gTuA7wJnAXnAT51zv0jaLyEiMggoGRYRSYHOybB/30FgOlAHRJ1zzWY2BbjPOTfXzM4CrnPOXegffw0wwjl3i5nlAc8DlzrnNiX1lxERGcCyUz0AERGJM//fHOAnZjYHiABTD3H8ucAsM3u/f3sIMAVv5lhERHpAybCISBrwyyQiwF682uE9wGy8tR3Nh3oa8Bnn3L+SMkgRkUFIC+hERFLMzCqAnwM/cV7t2hBgl3MuCnwYyPIPrQNKEp76L+BTZpbjf5+pZlaEiIj0mGaGRURSo8DMVuGVRLThLZj7of/YncCfzexS4Cmgwb//NaDNzF4Ffg3cjtdh4mUzM6AKuCRZv4CIyGCgBXQiIiIikrFUJiEiIiIiGUvJsIiIiIhkLCXDIiIiIpKxlAyLiIiISMZSMiwiIiIiGUvJsIiIiIhkLCXDIiIiIpKxlAyLiIiISMb6/41pvZPVFFOvAAAAAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<Figure size 864x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"df['Close'].plot(figsize=(12,5)).autoscale(axis='x',tight=True);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Now let's add in a rolling mean! This rolling method provides row entries, where every entry is then representative of the window. "
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {
|
|
"scrolled": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/html": [
|
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"<div>\n",
|
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"<style scoped>\n",
|
|
" .dataframe tbody tr th:only-of-type {\n",
|
|
" vertical-align: middle;\n",
|
|
" }\n",
|
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"\n",
|
|
" .dataframe tbody tr th {\n",
|
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" vertical-align: top;\n",
|
|
" }\n",
|
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"\n",
|
|
" .dataframe thead th {\n",
|
|
" text-align: right;\n",
|
|
" }\n",
|
|
"</style>\n",
|
|
"<table border=\"1\" class=\"dataframe\">\n",
|
|
" <thead>\n",
|
|
" <tr style=\"text-align: right;\">\n",
|
|
" <th></th>\n",
|
|
" <th>Close</th>\n",
|
|
" <th>Volume</th>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>Date</th>\n",
|
|
" <th></th>\n",
|
|
" <th></th>\n",
|
|
" </tr>\n",
|
|
" </thead>\n",
|
|
" <tbody>\n",
|
|
" <tr>\n",
|
|
" <th>2015-01-02</th>\n",
|
|
" <td>NaN</td>\n",
|
|
" <td>NaN</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2015-01-05</th>\n",
|
|
" <td>NaN</td>\n",
|
|
" <td>NaN</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2015-01-06</th>\n",
|
|
" <td>NaN</td>\n",
|
|
" <td>NaN</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2015-01-07</th>\n",
|
|
" <td>NaN</td>\n",
|
|
" <td>NaN</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2015-01-08</th>\n",
|
|
" <td>NaN</td>\n",
|
|
" <td>NaN</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2015-01-09</th>\n",
|
|
" <td>NaN</td>\n",
|
|
" <td>NaN</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2015-01-12</th>\n",
|
|
" <td>37.616786</td>\n",
|
|
" <td>1.238222e+07</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2015-01-13</th>\n",
|
|
" <td>37.578786</td>\n",
|
|
" <td>1.297288e+07</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2015-01-14</th>\n",
|
|
" <td>37.614786</td>\n",
|
|
" <td>1.264020e+07</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2015-01-15</th>\n",
|
|
" <td>37.638114</td>\n",
|
|
" <td>1.270624e+07</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2015-01-16</th>\n",
|
|
" <td>37.600114</td>\n",
|
|
" <td>1.260380e+07</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2015-01-20</th>\n",
|
|
" <td>37.515786</td>\n",
|
|
" <td>1.225634e+07</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2015-01-21</th>\n",
|
|
" <td>37.615786</td>\n",
|
|
" <td>9.868837e+06</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2015-01-22</th>\n",
|
|
" <td>37.783114</td>\n",
|
|
" <td>1.185335e+07</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2015-01-23</th>\n",
|
|
" <td>38.273129</td>\n",
|
|
" <td>1.571999e+07</td>\n",
|
|
" </tr>\n",
|
|
" </tbody>\n",
|
|
"</table>\n",
|
|
"</div>"
|
|
],
|
|
"text/plain": [
|
|
" Close Volume\n",
|
|
"Date \n",
|
|
"2015-01-02 NaN NaN\n",
|
|
"2015-01-05 NaN NaN\n",
|
|
"2015-01-06 NaN NaN\n",
|
|
"2015-01-07 NaN NaN\n",
|
|
"2015-01-08 NaN NaN\n",
|
|
"2015-01-09 NaN NaN\n",
|
|
"2015-01-12 37.616786 1.238222e+07\n",
|
|
"2015-01-13 37.578786 1.297288e+07\n",
|
|
"2015-01-14 37.614786 1.264020e+07\n",
|
|
"2015-01-15 37.638114 1.270624e+07\n",
|
|
"2015-01-16 37.600114 1.260380e+07\n",
|
|
"2015-01-20 37.515786 1.225634e+07\n",
|
|
"2015-01-21 37.615786 9.868837e+06\n",
|
|
"2015-01-22 37.783114 1.185335e+07\n",
|
|
"2015-01-23 38.273129 1.571999e+07"
|
|
]
|
|
},
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# 7 day rolling mean\n",
|
|
"df.rolling(window=7).mean().head(15)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 864x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"df['Close'].plot(figsize=(12,5)).autoscale(axis='x',tight=True)\n",
|
|
"df.rolling(window=30).mean()['Close'].plot();"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The easiest way to add a legend is to make the rolling value a new column, then pandas does it automatically!"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 864x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"df['Close: 30 Day Mean'] = df['Close'].rolling(window=30).mean()\n",
|
|
"df[['Close','Close: 30 Day Mean']].plot(figsize=(12,5)).autoscale(axis='x',tight=True);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Expanding\n",
|
|
"\n",
|
|
"Instead of calculating values for a rolling window of dates, what if you wanted to take into account everything from the start of the time series up to each point in time? For example, instead of considering the average over the last 7 days, we would consider all prior data in our expanding set of averages."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 864x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# df['Close'].plot(figsize=(12,5)).autoscale(axis='x',tight=True)\n",
|
|
"\n",
|
|
"# Optional: specify a minimum number of periods to start from\n",
|
|
"df['Close'].expanding(min_periods=30).mean().plot(figsize=(12,5));"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"That's it! It doesn't help much to visualize an expanding operation against the daily data, since all it really gives us is a picture of the \"stability\" or \"volatility\" of a stock. However, if you do want to see it, simply uncomment the first plot line above and rerun the cell.\n",
|
|
"\n",
|
|
"Next up, we'll take a deep dive into visualizing time series data!"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"anaconda-cloud": {},
|
|
"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": "3.7.6"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 1
|
|
}
|