week18_RNN.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# LSTM预测股票价格"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 读入股票数据 开盘价在 open 列， 收盘在 close "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Load in stockprice data from file...\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\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>Date</th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Last</th>\n",
       "      <th>Close</th>\n",
       "      <th>Total Trade Quantity</th>\n",
       "      <th>Turnover (Lacs)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2018-09-28</td>\n",
       "      <td>234.05</td>\n",
       "      <td>235.95</td>\n",
       "      <td>230.20</td>\n",
       "      <td>233.50</td>\n",
       "      <td>233.75</td>\n",
       "      <td>3069914</td>\n",
       "      <td>7162.35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2018-09-27</td>\n",
       "      <td>234.55</td>\n",
       "      <td>236.80</td>\n",
       "      <td>231.10</td>\n",
       "      <td>233.80</td>\n",
       "      <td>233.25</td>\n",
       "      <td>5082859</td>\n",
       "      <td>11859.95</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2018-09-26</td>\n",
       "      <td>240.00</td>\n",
       "      <td>240.00</td>\n",
       "      <td>232.50</td>\n",
       "      <td>235.00</td>\n",
       "      <td>234.25</td>\n",
       "      <td>2240909</td>\n",
       "      <td>5248.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2018-09-25</td>\n",
       "      <td>233.30</td>\n",
       "      <td>236.75</td>\n",
       "      <td>232.00</td>\n",
       "      <td>236.25</td>\n",
       "      <td>236.10</td>\n",
       "      <td>2349368</td>\n",
       "      <td>5503.90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2018-09-24</td>\n",
       "      <td>233.55</td>\n",
       "      <td>239.20</td>\n",
       "      <td>230.75</td>\n",
       "      <td>234.00</td>\n",
       "      <td>233.30</td>\n",
       "      <td>3423509</td>\n",
       "      <td>7999.55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2018-09-21</td>\n",
       "      <td>235.00</td>\n",
       "      <td>237.00</td>\n",
       "      <td>227.95</td>\n",
       "      <td>233.75</td>\n",
       "      <td>234.60</td>\n",
       "      <td>5395319</td>\n",
       "      <td>12589.59</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>2018-09-19</td>\n",
       "      <td>235.95</td>\n",
       "      <td>237.20</td>\n",
       "      <td>233.45</td>\n",
       "      <td>234.60</td>\n",
       "      <td>234.90</td>\n",
       "      <td>1362058</td>\n",
       "      <td>3202.78</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>2018-09-18</td>\n",
       "      <td>237.90</td>\n",
       "      <td>239.25</td>\n",
       "      <td>233.50</td>\n",
       "      <td>235.50</td>\n",
       "      <td>235.05</td>\n",
       "      <td>2614794</td>\n",
       "      <td>6163.70</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>2018-09-17</td>\n",
       "      <td>233.15</td>\n",
       "      <td>238.00</td>\n",
       "      <td>230.25</td>\n",
       "      <td>236.40</td>\n",
       "      <td>236.60</td>\n",
       "      <td>3170894</td>\n",
       "      <td>7445.41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2018-09-14</td>\n",
       "      <td>223.45</td>\n",
       "      <td>236.70</td>\n",
       "      <td>223.30</td>\n",
       "      <td>234.00</td>\n",
       "      <td>233.95</td>\n",
       "      <td>6377909</td>\n",
       "      <td>14784.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>2018-09-12</td>\n",
       "      <td>216.35</td>\n",
       "      <td>223.70</td>\n",
       "      <td>212.65</td>\n",
       "      <td>221.65</td>\n",
       "      <td>222.65</td>\n",
       "      <td>4570939</td>\n",
       "      <td>10002.01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2018-09-11</td>\n",
       "      <td>222.50</td>\n",
       "      <td>225.40</td>\n",
       "      <td>214.85</td>\n",
       "      <td>216.35</td>\n",
       "      <td>216.00</td>\n",
       "      <td>3508990</td>\n",
       "      <td>7735.81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>2018-09-10</td>\n",
       "      <td>222.50</td>\n",
       "      <td>235.15</td>\n",
       "      <td>220.65</td>\n",
       "      <td>221.05</td>\n",
       "      <td>222.00</td>\n",
       "      <td>7514106</td>\n",
       "      <td>17130.29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>2018-09-07</td>\n",
       "      <td>221.00</td>\n",
       "      <td>224.50</td>\n",
       "      <td>219.10</td>\n",
       "      <td>223.15</td>\n",
       "      <td>222.95</td>\n",
       "      <td>1232507</td>\n",
       "      <td>2742.84</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2018-09-06</td>\n",
       "      <td>224.00</td>\n",
       "      <td>225.00</td>\n",
       "      <td>218.20</td>\n",
       "      <td>220.95</td>\n",
       "      <td>221.05</td>\n",
       "      <td>1738824</td>\n",
       "      <td>3856.72</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>2018-09-05</td>\n",
       "      <td>222.00</td>\n",
       "      <td>224.60</td>\n",
       "      <td>215.20</td>\n",
       "      <td>222.10</td>\n",
       "      <td>222.40</td>\n",
       "      <td>3023097</td>\n",
       "      <td>6674.93</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>2018-09-04</td>\n",
       "      <td>238.20</td>\n",
       "      <td>238.20</td>\n",
       "      <td>222.60</td>\n",
       "      <td>223.45</td>\n",
       "      <td>223.70</td>\n",
       "      <td>3554859</td>\n",
       "      <td>8163.82</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2018-09-03</td>\n",
       "      <td>236.00</td>\n",
       "      <td>243.55</td>\n",
       "      <td>235.05</td>\n",
       "      <td>236.85</td>\n",
       "      <td>236.70</td>\n",
       "      <td>5242852</td>\n",
       "      <td>12538.39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>2018-08-31</td>\n",
       "      <td>237.00</td>\n",
       "      <td>239.75</td>\n",
       "      <td>232.95</td>\n",
       "      <td>234.65</td>\n",
       "      <td>234.30</td>\n",
       "      <td>3353833</td>\n",
       "      <td>7913.21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>2018-08-30</td>\n",
       "      <td>235.35</td>\n",
       "      <td>237.30</td>\n",
       "      <td>232.10</td>\n",
       "      <td>237.30</td>\n",
       "      <td>236.00</td>\n",
       "      <td>1921327</td>\n",
       "      <td>4516.57</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>2018-08-29</td>\n",
       "      <td>233.85</td>\n",
       "      <td>237.70</td>\n",
       "      <td>232.70</td>\n",
       "      <td>234.20</td>\n",
       "      <td>234.55</td>\n",
       "      <td>1394661</td>\n",
       "      <td>3280.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>2018-08-28</td>\n",
       "      <td>237.00</td>\n",
       "      <td>239.30</td>\n",
       "      <td>231.30</td>\n",
       "      <td>232.90</td>\n",
       "      <td>233.35</td>\n",
       "      <td>2374782</td>\n",
       "      <td>5571.77</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>2018-08-27</td>\n",
       "      <td>231.80</td>\n",
       "      <td>239.35</td>\n",
       "      <td>231.05</td>\n",
       "      <td>236.80</td>\n",
       "      <td>237.05</td>\n",
       "      <td>1990020</td>\n",
       "      <td>4689.94</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>2018-08-24</td>\n",
       "      <td>234.50</td>\n",
       "      <td>237.20</td>\n",
       "      <td>230.20</td>\n",
       "      <td>231.50</td>\n",
       "      <td>231.00</td>\n",
       "      <td>1838417</td>\n",
       "      <td>4289.35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>2018-08-23</td>\n",
       "      <td>240.30</td>\n",
       "      <td>240.60</td>\n",
       "      <td>233.10</td>\n",
       "      <td>235.50</td>\n",
       "      <td>235.45</td>\n",
       "      <td>1553953</td>\n",
       "      <td>3662.36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>2018-08-21</td>\n",
       "      <td>246.90</td>\n",
       "      <td>246.90</td>\n",
       "      <td>239.25</td>\n",
       "      <td>240.90</td>\n",
       "      <td>240.55</td>\n",
       "      <td>3272005</td>\n",
       "      <td>7941.40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>2018-08-20</td>\n",
       "      <td>244.00</td>\n",
       "      <td>247.00</td>\n",
       "      <td>243.00</td>\n",
       "      <td>244.70</td>\n",
       "      <td>245.15</td>\n",
       "      <td>1690225</td>\n",
       "      <td>4141.83</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>2018-08-17</td>\n",
       "      <td>240.80</td>\n",
       "      <td>244.50</td>\n",
       "      <td>239.20</td>\n",
       "      <td>242.70</td>\n",
       "      <td>243.00</td>\n",
       "      <td>2838238</td>\n",
       "      <td>6885.52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>2018-08-16</td>\n",
       "      <td>236.05</td>\n",
       "      <td>242.00</td>\n",
       "      <td>235.95</td>\n",
       "      <td>240.35</td>\n",
       "      <td>239.35</td>\n",
       "      <td>2551480</td>\n",
       "      <td>6106.81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>2018-08-14</td>\n",
       "      <td>235.00</td>\n",
       "      <td>238.50</td>\n",
       "      <td>235.00</td>\n",
       "      <td>237.40</td>\n",
       "      <td>237.55</td>\n",
       "      <td>1885288</td>\n",
       "      <td>4459.96</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005</th>\n",
       "      <td>2010-08-31</td>\n",
       "      <td>117.00</td>\n",
       "      <td>121.00</td>\n",
       "      <td>116.10</td>\n",
       "      <td>120.75</td>\n",
       "      <td>120.50</td>\n",
       "      <td>2110321</td>\n",
       "      <td>2518.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006</th>\n",
       "      <td>2010-08-30</td>\n",
       "      <td>118.80</td>\n",
       "      <td>119.70</td>\n",
       "      <td>116.70</td>\n",
       "      <td>117.90</td>\n",
       "      <td>117.60</td>\n",
       "      <td>463046</td>\n",
       "      <td>548.13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007</th>\n",
       "      <td>2010-08-27</td>\n",
       "      <td>119.00</td>\n",
       "      <td>119.85</td>\n",
       "      <td>117.10</td>\n",
       "      <td>118.25</td>\n",
       "      <td>117.75</td>\n",
       "      <td>1375227</td>\n",
       "      <td>1635.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008</th>\n",
       "      <td>2010-08-26</td>\n",
       "      <td>118.20</td>\n",
       "      <td>119.35</td>\n",
       "      <td>116.60</td>\n",
       "      <td>118.00</td>\n",
       "      <td>118.15</td>\n",
       "      <td>2531255</td>\n",
       "      <td>2997.62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009</th>\n",
       "      <td>2010-08-25</td>\n",
       "      <td>116.00</td>\n",
       "      <td>118.70</td>\n",
       "      <td>115.40</td>\n",
       "      <td>117.00</td>\n",
       "      <td>117.00</td>\n",
       "      <td>1606579</td>\n",
       "      <td>1880.76</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010</th>\n",
       "      <td>2010-08-24</td>\n",
       "      <td>118.45</td>\n",
       "      <td>119.80</td>\n",
       "      <td>116.05</td>\n",
       "      <td>116.75</td>\n",
       "      <td>116.45</td>\n",
       "      <td>3422797</td>\n",
       "      <td>4032.37</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011</th>\n",
       "      <td>2010-08-23</td>\n",
       "      <td>114.00</td>\n",
       "      <td>118.25</td>\n",
       "      <td>112.00</td>\n",
       "      <td>116.65</td>\n",
       "      <td>116.70</td>\n",
       "      <td>4033916</td>\n",
       "      <td>4697.91</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012</th>\n",
       "      <td>2010-08-20</td>\n",
       "      <td>112.00</td>\n",
       "      <td>113.40</td>\n",
       "      <td>111.05</td>\n",
       "      <td>111.35</td>\n",
       "      <td>111.50</td>\n",
       "      <td>653286</td>\n",
       "      <td>732.65</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2013</th>\n",
       "      <td>2010-08-19</td>\n",
       "      <td>110.00</td>\n",
       "      <td>114.35</td>\n",
       "      <td>108.50</td>\n",
       "      <td>113.35</td>\n",
       "      <td>113.05</td>\n",
       "      <td>1643818</td>\n",
       "      <td>1846.35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014</th>\n",
       "      <td>2010-08-18</td>\n",
       "      <td>110.15</td>\n",
       "      <td>111.20</td>\n",
       "      <td>108.10</td>\n",
       "      <td>108.50</td>\n",
       "      <td>108.85</td>\n",
       "      <td>959932</td>\n",
       "      <td>1052.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015</th>\n",
       "      <td>2010-08-17</td>\n",
       "      <td>111.90</td>\n",
       "      <td>112.40</td>\n",
       "      <td>109.70</td>\n",
       "      <td>110.20</td>\n",
       "      <td>110.10</td>\n",
       "      <td>1079479</td>\n",
       "      <td>1196.57</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016</th>\n",
       "      <td>2010-08-16</td>\n",
       "      <td>115.95</td>\n",
       "      <td>115.95</td>\n",
       "      <td>110.75</td>\n",
       "      <td>112.00</td>\n",
       "      <td>111.25</td>\n",
       "      <td>818831</td>\n",
       "      <td>919.52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017</th>\n",
       "      <td>2010-08-13</td>\n",
       "      <td>113.40</td>\n",
       "      <td>116.00</td>\n",
       "      <td>112.60</td>\n",
       "      <td>114.10</td>\n",
       "      <td>114.15</td>\n",
       "      <td>755675</td>\n",
       "      <td>868.71</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018</th>\n",
       "      <td>2010-08-12</td>\n",
       "      <td>113.00</td>\n",
       "      <td>114.45</td>\n",
       "      <td>112.25</td>\n",
       "      <td>112.80</td>\n",
       "      <td>112.55</td>\n",
       "      <td>434265</td>\n",
       "      <td>492.18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019</th>\n",
       "      <td>2010-08-11</td>\n",
       "      <td>113.75</td>\n",
       "      <td>115.50</td>\n",
       "      <td>112.00</td>\n",
       "      <td>113.90</td>\n",
       "      <td>113.90</td>\n",
       "      <td>1307966</td>\n",
       "      <td>1499.66</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020</th>\n",
       "      <td>2010-08-10</td>\n",
       "      <td>112.90</td>\n",
       "      <td>114.30</td>\n",
       "      <td>111.55</td>\n",
       "      <td>112.05</td>\n",
       "      <td>112.30</td>\n",
       "      <td>327364</td>\n",
       "      <td>368.92</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2021</th>\n",
       "      <td>2010-08-09</td>\n",
       "      <td>112.00</td>\n",
       "      <td>113.85</td>\n",
       "      <td>112.00</td>\n",
       "      <td>113.20</td>\n",
       "      <td>112.85</td>\n",
       "      <td>415026</td>\n",
       "      <td>468.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022</th>\n",
       "      <td>2010-08-06</td>\n",
       "      <td>114.10</td>\n",
       "      <td>114.90</td>\n",
       "      <td>111.75</td>\n",
       "      <td>112.20</td>\n",
       "      <td>112.10</td>\n",
       "      <td>547881</td>\n",
       "      <td>620.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023</th>\n",
       "      <td>2010-08-05</td>\n",
       "      <td>117.00</td>\n",
       "      <td>117.00</td>\n",
       "      <td>113.80</td>\n",
       "      <td>114.10</td>\n",
       "      <td>114.05</td>\n",
       "      <td>777490</td>\n",
       "      <td>893.61</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2024</th>\n",
       "      <td>2010-08-04</td>\n",
       "      <td>118.50</td>\n",
       "      <td>119.00</td>\n",
       "      <td>116.10</td>\n",
       "      <td>116.65</td>\n",
       "      <td>116.50</td>\n",
       "      <td>1012396</td>\n",
       "      <td>1184.49</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2025</th>\n",
       "      <td>2010-08-03</td>\n",
       "      <td>118.30</td>\n",
       "      <td>119.95</td>\n",
       "      <td>117.90</td>\n",
       "      <td>118.65</td>\n",
       "      <td>118.30</td>\n",
       "      <td>611234</td>\n",
       "      <td>726.78</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2026</th>\n",
       "      <td>2010-08-02</td>\n",
       "      <td>117.30</td>\n",
       "      <td>118.50</td>\n",
       "      <td>116.60</td>\n",
       "      <td>118.10</td>\n",
       "      <td>117.30</td>\n",
       "      <td>663593</td>\n",
       "      <td>779.85</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2027</th>\n",
       "      <td>2010-07-30</td>\n",
       "      <td>116.50</td>\n",
       "      <td>118.00</td>\n",
       "      <td>114.60</td>\n",
       "      <td>115.85</td>\n",
       "      <td>116.05</td>\n",
       "      <td>2656191</td>\n",
       "      <td>3112.68</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2028</th>\n",
       "      <td>2010-07-29</td>\n",
       "      <td>112.50</td>\n",
       "      <td>121.70</td>\n",
       "      <td>112.50</td>\n",
       "      <td>117.50</td>\n",
       "      <td>116.60</td>\n",
       "      <td>2359134</td>\n",
       "      <td>2791.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2029</th>\n",
       "      <td>2010-07-28</td>\n",
       "      <td>118.00</td>\n",
       "      <td>120.50</td>\n",
       "      <td>117.20</td>\n",
       "      <td>118.15</td>\n",
       "      <td>118.25</td>\n",
       "      <td>835593</td>\n",
       "      <td>994.01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2030</th>\n",
       "      <td>2010-07-27</td>\n",
       "      <td>117.60</td>\n",
       "      <td>119.50</td>\n",
       "      <td>112.00</td>\n",
       "      <td>118.80</td>\n",
       "      <td>118.65</td>\n",
       "      <td>586100</td>\n",
       "      <td>694.98</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2031</th>\n",
       "      <td>2010-07-26</td>\n",
       "      <td>120.10</td>\n",
       "      <td>121.00</td>\n",
       "      <td>117.10</td>\n",
       "      <td>117.10</td>\n",
       "      <td>117.60</td>\n",
       "      <td>658440</td>\n",
       "      <td>780.01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2032</th>\n",
       "      <td>2010-07-23</td>\n",
       "      <td>121.80</td>\n",
       "      <td>121.95</td>\n",
       "      <td>120.25</td>\n",
       "      <td>120.35</td>\n",
       "      <td>120.65</td>\n",
       "      <td>281312</td>\n",
       "      <td>340.31</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2033</th>\n",
       "      <td>2010-07-22</td>\n",
       "      <td>120.30</td>\n",
       "      <td>122.00</td>\n",
       "      <td>120.25</td>\n",
       "      <td>120.75</td>\n",
       "      <td>120.90</td>\n",
       "      <td>293312</td>\n",
       "      <td>355.17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2034</th>\n",
       "      <td>2010-07-21</td>\n",
       "      <td>122.10</td>\n",
       "      <td>123.00</td>\n",
       "      <td>121.05</td>\n",
       "      <td>121.10</td>\n",
       "      <td>121.55</td>\n",
       "      <td>658666</td>\n",
       "      <td>803.56</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2035 rows × 8 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            Date    Open    High     Low    Last   Close  \\\n",
       "0     2018-09-28  234.05  235.95  230.20  233.50  233.75   \n",
       "1     2018-09-27  234.55  236.80  231.10  233.80  233.25   \n",
       "2     2018-09-26  240.00  240.00  232.50  235.00  234.25   \n",
       "3     2018-09-25  233.30  236.75  232.00  236.25  236.10   \n",
       "4     2018-09-24  233.55  239.20  230.75  234.00  233.30   \n",
       "5     2018-09-21  235.00  237.00  227.95  233.75  234.60   \n",
       "6     2018-09-19  235.95  237.20  233.45  234.60  234.90   \n",
       "7     2018-09-18  237.90  239.25  233.50  235.50  235.05   \n",
       "8     2018-09-17  233.15  238.00  230.25  236.40  236.60   \n",
       "9     2018-09-14  223.45  236.70  223.30  234.00  233.95   \n",
       "10    2018-09-12  216.35  223.70  212.65  221.65  222.65   \n",
       "11    2018-09-11  222.50  225.40  214.85  216.35  216.00   \n",
       "12    2018-09-10  222.50  235.15  220.65  221.05  222.00   \n",
       "13    2018-09-07  221.00  224.50  219.10  223.15  222.95   \n",
       "14    2018-09-06  224.00  225.00  218.20  220.95  221.05   \n",
       "15    2018-09-05  222.00  224.60  215.20  222.10  222.40   \n",
       "16    2018-09-04  238.20  238.20  222.60  223.45  223.70   \n",
       "17    2018-09-03  236.00  243.55  235.05  236.85  236.70   \n",
       "18    2018-08-31  237.00  239.75  232.95  234.65  234.30   \n",
       "19    2018-08-30  235.35  237.30  232.10  237.30  236.00   \n",
       "20    2018-08-29  233.85  237.70  232.70  234.20  234.55   \n",
       "21    2018-08-28  237.00  239.30  231.30  232.90  233.35   \n",
       "22    2018-08-27  231.80  239.35  231.05  236.80  237.05   \n",
       "23    2018-08-24  234.50  237.20  230.20  231.50  231.00   \n",
       "24    2018-08-23  240.30  240.60  233.10  235.50  235.45   \n",
       "25    2018-08-21  246.90  246.90  239.25  240.90  240.55   \n",
       "26    2018-08-20  244.00  247.00  243.00  244.70  245.15   \n",
       "27    2018-08-17  240.80  244.50  239.20  242.70  243.00   \n",
       "28    2018-08-16  236.05  242.00  235.95  240.35  239.35   \n",
       "29    2018-08-14  235.00  238.50  235.00  237.40  237.55   \n",
       "...          ...     ...     ...     ...     ...     ...   \n",
       "2005  2010-08-31  117.00  121.00  116.10  120.75  120.50   \n",
       "2006  2010-08-30  118.80  119.70  116.70  117.90  117.60   \n",
       "2007  2010-08-27  119.00  119.85  117.10  118.25  117.75   \n",
       "2008  2010-08-26  118.20  119.35  116.60  118.00  118.15   \n",
       "2009  2010-08-25  116.00  118.70  115.40  117.00  117.00   \n",
       "2010  2010-08-24  118.45  119.80  116.05  116.75  116.45   \n",
       "2011  2010-08-23  114.00  118.25  112.00  116.65  116.70   \n",
       "2012  2010-08-20  112.00  113.40  111.05  111.35  111.50   \n",
       "2013  2010-08-19  110.00  114.35  108.50  113.35  113.05   \n",
       "2014  2010-08-18  110.15  111.20  108.10  108.50  108.85   \n",
       "2015  2010-08-17  111.90  112.40  109.70  110.20  110.10   \n",
       "2016  2010-08-16  115.95  115.95  110.75  112.00  111.25   \n",
       "2017  2010-08-13  113.40  116.00  112.60  114.10  114.15   \n",
       "2018  2010-08-12  113.00  114.45  112.25  112.80  112.55   \n",
       "2019  2010-08-11  113.75  115.50  112.00  113.90  113.90   \n",
       "2020  2010-08-10  112.90  114.30  111.55  112.05  112.30   \n",
       "2021  2010-08-09  112.00  113.85  112.00  113.20  112.85   \n",
       "2022  2010-08-06  114.10  114.90  111.75  112.20  112.10   \n",
       "2023  2010-08-05  117.00  117.00  113.80  114.10  114.05   \n",
       "2024  2010-08-04  118.50  119.00  116.10  116.65  116.50   \n",
       "2025  2010-08-03  118.30  119.95  117.90  118.65  118.30   \n",
       "2026  2010-08-02  117.30  118.50  116.60  118.10  117.30   \n",
       "2027  2010-07-30  116.50  118.00  114.60  115.85  116.05   \n",
       "2028  2010-07-29  112.50  121.70  112.50  117.50  116.60   \n",
       "2029  2010-07-28  118.00  120.50  117.20  118.15  118.25   \n",
       "2030  2010-07-27  117.60  119.50  112.00  118.80  118.65   \n",
       "2031  2010-07-26  120.10  121.00  117.10  117.10  117.60   \n",
       "2032  2010-07-23  121.80  121.95  120.25  120.35  120.65   \n",
       "2033  2010-07-22  120.30  122.00  120.25  120.75  120.90   \n",
       "2034  2010-07-21  122.10  123.00  121.05  121.10  121.55   \n",
       "\n",
       "      Total Trade Quantity  Turnover (Lacs)  \n",
       "0                  3069914          7162.35  \n",
       "1                  5082859         11859.95  \n",
       "2                  2240909          5248.60  \n",
       "3                  2349368          5503.90  \n",
       "4                  3423509          7999.55  \n",
       "5                  5395319         12589.59  \n",
       "6                  1362058          3202.78  \n",
       "7                  2614794          6163.70  \n",
       "8                  3170894          7445.41  \n",
       "9                  6377909         14784.50  \n",
       "10                 4570939         10002.01  \n",
       "11                 3508990          7735.81  \n",
       "12                 7514106         17130.29  \n",
       "13                 1232507          2742.84  \n",
       "14                 1738824          3856.72  \n",
       "15                 3023097          6674.93  \n",
       "16                 3554859          8163.82  \n",
       "17                 5242852         12538.39  \n",
       "18                 3353833          7913.21  \n",
       "19                 1921327          4516.57  \n",
       "20                 1394661          3280.33  \n",
       "21                 2374782          5571.77  \n",
       "22                 1990020          4689.94  \n",
       "23                 1838417          4289.35  \n",
       "24                 1553953          3662.36  \n",
       "25                 3272005          7941.40  \n",
       "26                 1690225          4141.83  \n",
       "27                 2838238          6885.52  \n",
       "28                 2551480          6106.81  \n",
       "29                 1885288          4459.96  \n",
       "...                    ...              ...  \n",
       "2005               2110321          2518.67  \n",
       "2006                463046           548.13  \n",
       "2007               1375227          1635.69  \n",
       "2008               2531255          2997.62  \n",
       "2009               1606579          1880.76  \n",
       "2010               3422797          4032.37  \n",
       "2011               4033916          4697.91  \n",
       "2012                653286           732.65  \n",
       "2013               1643818          1846.35  \n",
       "2014                959932          1052.23  \n",
       "2015               1079479          1196.57  \n",
       "2016                818831           919.52  \n",
       "2017                755675           868.71  \n",
       "2018                434265           492.18  \n",
       "2019               1307966          1499.66  \n",
       "2020                327364           368.92  \n",
       "2021                415026           468.60  \n",
       "2022                547881           620.33  \n",
       "2023                777490           893.61  \n",
       "2024               1012396          1184.49  \n",
       "2025                611234           726.78  \n",
       "2026                663593           779.85  \n",
       "2027               2656191          3112.68  \n",
       "2028               2359134          2791.03  \n",
       "2029                835593           994.01  \n",
       "2030                586100           694.98  \n",
       "2031                658440           780.01  \n",
       "2032                281312           340.31  \n",
       "2033                293312           355.17  \n",
       "2034                658666           803.56  \n",
       "\n",
       "[2035 rows x 8 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print('Load in stockprice data from file...')\n",
    "dataset_train = pd.read_csv('./data/NSE-TATAGLOBAL.csv')\n",
    "\n",
    "dataset_train"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 摘取 Open 作为训练预测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "taken the Open data for RNN training...\n"
     ]
    }
   ],
   "source": [
    "print('taken the Open data for RNN training...')\n",
    "training_set = dataset_train.iloc[:,1:2].values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 缩放数据到 0-1 范围"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Rescale the training data to (0,1) range...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print('Rescale the training data to (0,1) range...')\n",
    "\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "sc = MinMaxScaler(feature_range = (0, 1))\n",
    "training_set_scaled = sc.fit_transform(training_set)\n",
    "fig, ax = plt.subplots(figsize=(14,4))\n",
    "ax.plot(range(len(training_set)), training_set_scaled)\n",
    "ax.set_xlabel('time (from 2018-09-28 to 2010-07-10)'); ax.set_ylabel('open （rescaled）'); ax.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 特征与标签，使用60天数据预测一天（一些格式转换）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Creating features and targets... (differ by 60 days i.e. predict the price 60 days later)\n",
      "Shape of X_train and y_train is  (1975, 60, 1) (1975,)\n"
     ]
    }
   ],
   "source": [
    "print('Creating features and targets... (differ by 60 days i.e. predict the price 60 days later)')\n",
    "ndat = len(training_set_scaled)\n",
    "\n",
    "X_train = []\n",
    "y_train = []\n",
    "for i in range(60, ndat):\n",
    "    X_train.append(training_set_scaled[i-60:i, 0])\n",
    "    y_train.append(training_set_scaled[i, 0])\n",
    "X_train, y_train = np.array(X_train), np.array(y_train)\n",
    "\n",
    "X_train = np.reshape(X_train, (X_train.shape[0], X_train.shape[1], 1))\n",
    "print ('Shape of X_train and y_train is ', X_train.shape, y_train.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 建立 LSTM 模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "lstm_39 (LSTM)               (None, 60, 50)            10400     \n",
      "_________________________________________________________________\n",
      "dropout_38 (Dropout)         (None, 60, 50)            0         \n",
      "_________________________________________________________________\n",
      "lstm_40 (LSTM)               (None, 60, 50)            20200     \n",
      "_________________________________________________________________\n",
      "dropout_39 (Dropout)         (None, 60, 50)            0         \n",
      "_________________________________________________________________\n",
      "lstm_41 (LSTM)               (None, 60, 50)            20200     \n",
      "_________________________________________________________________\n",
      "dropout_40 (Dropout)         (None, 60, 50)            0         \n",
      "_________________________________________________________________\n",
      "lstm_42 (LSTM)               (None, 50)                20200     \n",
      "_________________________________________________________________\n",
      "dropout_41 (Dropout)         (None, 50)                0         \n",
      "_________________________________________________________________\n",
      "dense_10 (Dense)             (None, 1)                 51        \n",
      "=================================================================\n",
      "Total params: 71,051\n",
      "Trainable params: 71,051\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "from keras.models import Sequential\n",
    "from keras.layers import Dense, LSTM, Dropout\n",
    "\n",
    "regressor = Sequential()\n",
    "\n",
    "regressor.add(LSTM(units = 50, return_sequences = True, input_shape = (X_train.shape[1], 1)))\n",
    "regressor.add(Dropout(0.2))\n",
    "\n",
    "regressor.add(LSTM(units = 50, return_sequences = True))\n",
    "regressor.add(Dropout(0.2))\n",
    "\n",
    "regressor.add(LSTM(units = 50, return_sequences = True))\n",
    "regressor.add(Dropout(0.2))\n",
    "\n",
    "regressor.add(LSTM(units = 50))\n",
    "regressor.add(Dropout(0.2))\n",
    "\n",
    "regressor.add(Dense(units = 1))\n",
    "\n",
    "regressor.compile(optimizer='adam', loss='mean_squared_error') \n",
    "\n",
    "regressor.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 用一批新数据测试..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fdca52dddd8>"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dataset_test = pd.read_csv('./data/tatatest.csv')\n",
    "real_stock_price = dataset_test.iloc[:, 1:2].values\n",
    "\n",
    "dataset_total = pd.concat((dataset_train['Open'], dataset_test['Open']), axis = 0)\n",
    "inputs = dataset_total[len(dataset_total) - len(dataset_test) - 60:].values\n",
    "inputs = inputs.reshape(-1,1)\n",
    "inputs = sc.transform(inputs)\n",
    "X_test = []\n",
    "for i in range(60, 76):\n",
    "    X_test.append(inputs[i-60:i, 0])\n",
    "X_test = np.array(X_test)\n",
    "X_test = np.reshape(X_test, (X_test.shape[0], X_test.shape[1], 1))\n",
    "\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(14,4))\n",
    "ax.plot(real_stock_price, color = 'black', label = 'Real Stock Price at 2017', marker='o')\n",
    "ax.legend()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 0.0010\n",
      "Epoch 2/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 8.6388e-04\n",
      "Epoch 3/10\n",
      "1975/1975 [==============================] - 9s 5ms/step - loss: 9.9598e-04\n",
      "Epoch 4/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 9.5347e-04\n",
      "Epoch 5/10\n",
      "1975/1975 [==============================] - 9s 4ms/step - loss: 0.0010\n",
      "Epoch 6/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 9.2002e-04\n",
      "Epoch 7/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 8.9628e-04\n",
      "Epoch 8/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 9.1218e-04\n",
      "Epoch 9/10\n",
      "1975/1975 [==============================] - 9s 4ms/step - loss: 9.3515e-04\n",
      "Epoch 10/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 8.8994e-04\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/10\n",
      "1975/1975 [==============================] - 10s 5ms/step - loss: 9.8831e-04\n",
      "Epoch 2/10\n",
      "1975/1975 [==============================] - 9s 4ms/step - loss: 8.5792e-04\n",
      "Epoch 3/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 8.0590e-04\n",
      "Epoch 4/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 8.7749e-04\n",
      "Epoch 5/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 9.2941e-04\n",
      "Epoch 6/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 9.3203e-04\n",
      "Epoch 7/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 9.0324e-04\n",
      "Epoch 8/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.3036e-04\n",
      "Epoch 9/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 8.6327e-04\n",
      "Epoch 10/10\n",
      "1975/1975 [==============================] - 9s 5ms/step - loss: 7.5908e-04\n"
     ]
    },
    {
     "data": {
      "image/png": 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2AHL6lpWVhcvluuRag4KCCAoKIjAw0LscFBTEgAEDvCejR0ZGFkOrVG5ZOVkcyTjCkVNHOHzqsHfZuy7jMEdOHSHNlUZktUiiQqNoWL0hUdWjvMvhVcIdmQktMjKS4cOHM3z4cKy1bNq0ydvD9/bbb/Pqq696JzqoXbs2q1atokmTJjRu3JjGjRsTFhamGdxERMqhzMxMvv32WxYuXMjChQtZsmQJqampAPj6+nrDzNChQwsMM9OlCoqfQo445tChQ8ycOZPk5GRmz57NqVOnznuMMaZAsCjsFh4eXmgIKY5bQECAPnxeIGstaa60AiHl8KnDhQaW/KEmPTv9nM9Z1b8qtarUolZwLaoGVGXVvlVM2zKNrNysAvsF+QXRILSBO/yERhUahEICS3aiB2OMd4jBI488QlZWFkuWLGHu3LnMnz+f2bNn89lnnxU4JjQ01Bt4GjduXCAANWnShOrVq5dozSIiUjQnTpxgyZIl3lCzYsUK7xeqbdq04eabb6ZXr164XC6GDx+uMFOKFHKkVH3//fdMnz6d5ORklixZgrWWBg0acPvtt1O3bl169+79qyHD399fIcNBeTaPYxnHfjWweNfle+zKPXcPWlhQmDewRFaLpF2ddtQKdj+uVaUW4VXCvcun74P8zu6+t9Zy6NQhdp7Yya4Tu9iVusu9nLqLXSd2MW/bPPal7SPP5hU4rnpgdaKqR50zCDUIbUCgX/H9UQoMDCQ2NpbY2FgAvv76azp27Mj27dvZsWOH97Z9+3a2bdvG/PnzSU8vGPhq1KhxVvjJ/1gz9ImIlIx9+/Z5A83ChQtZt24d1lr8/PyIjo7mgQceICYmhp49exIeHu49LiUlRQGnlCnkSInKyclh6dKlJCcnk5yczA8//ABAp06dGDt2LAkJCXTq1AljDCkpKeX2qrrl2YnME6w9vpajm48WHBpWyFCxY5nHzgoJp/n5+BUII81rNqdr/a5nhZTwKuHe5bDgMPx8iufXkDGGOlXrUKdqHTrX61zoPtm52exL23fOILR893KOZBw567iIqhG/GoQiq0Xi6+N70XWHhYURFhZGdHT0WduttRw5cuSsALRjxw6+//57Zs2aRUZGRoFjataseVbvT/4wVLVq1YuqVUSkMrHW8uOPPxYINdu2bQPc52J2796dp556ipiYGLp27arfrWWMQo4Uu7S0NObMmcP06dOZOXMmR44cwd/fn9jYWB588EEGDhyoWabKgOOZx3ll6Sv8c/k/Sc1Khe9+2RbsF1ygFyWqetQvAeUcgSU0MLTM97L5+/rTsHpDGlY/98/fqexT7E7dXWgQ2nxoM7O3zj5rKJ2fjx/1Q+qfNRQuKjTKG47Cgi7uPBtjDOHh4YSHh9O589nhzVrLoUOHCoSf07cNGzYwY8YMsrIKDuOrXbv2OYfCNWrUqEJc6VpE5ELl5OTw3XffsWjRIhYuXMiiRYs4cOAA4L78Q69evbj33nuJiYmhU6dO+Pv7O1yx/BqFHCkWe/bs4fPPPyc5OZn58+fjcrkICwtjwIABJCQk0L9/f80kVUacyDzBP5f9k1eWvcKJrBPc1Pomuvp1Jb5HvDfEBPtX3g+5Vfyr0LJWS1rWalnodmstxzOP/xJ+zghCS3ctZXLqZLLzss963sLCT8aJDK50XUnVgIv7BtAYQ506dahTpw5dunQ5a3teXh4HDx4sEIBOL69du5bp06efNSFHRETEOXuCGjZsqNl+RKRCyMjIYMWKFd5emqVLl3Ly5EkAGjVq5J0hNSYmhssuu6zMf5EnBSnkyEWx1rJu3TrvMLSVK1cC0LRpU+677z4SEhLo2bOnvuUoQ05knuBfy//FK8te4XjmcW687EbG9hlLx8iOpKSk0DGyo9MllgvGGMKCwwgLDqN9RPtC98mzeRxIO3DOILRh6wb2p+3HYgF48LsHaVmrJdF1o+kU2cl9q9uJmsE1L7leHx8fIiMjiYyMpHv37mfXmpfHvn37zgpAO3bsYMWKFSQlJZGTk1PgmHr16tG4cWM6derE7373Ozp06HDJdYqIlLRjx46xePFib6hZuXIl2dnuL6TatWvH8OHDiYmJoVevXrpQdwWgkCNF5nK5+Oabb7zBZufOnRhj6NatG88//zwJCQm0bt1a33SUMalZqfxr2b94ednLHM88zg2tbuCpPk/RqW4np0ursHyMD3VD6lI3pC5d6p/duwLgynWxO3U3H8//mJzwHNbsX8OCnxfw8fqPvfs0qt6ITnU7eYNPdN1o6oXUK9b/Yz4+PtSvX5/69evTs2fPs7bn5uayd+/eswLQ9u3beeutt3jttdfo0aMHo0ePJjExUb08IlJm7N692zvsbOHChWzYsAFrLf7+/nTu3JmHH37YO0lAzZqX/qWSlC0KOfKrjh07xpdffklycjJffvklqampBAcHExcXx9ixYxkwYICuCVNGpWal8p/l/+EfS//BscxjJLRK4Kk+TxFd9+yT26X0BfgG0DSsKb3Ce9G3b1/v+sOnDrNm3xrW7F/D6n2rWbN/DdO3TPf2+tSuUtsbfE73/DSr2Qwf41Midfr6+hIVFUVUVBQxMTEFth09epR3332X//3vf4wYMYJHHnmEO++8k7vvvpumTZuWSD0iIoWx1vL9998XmCRgx44dAFSrVo3u3bszZMgQYmJi6NKliy7SXQko5MhZtm3bxueff8706dNZsGABubm51KlThyFDhpCQkMDVV1+tXw5l2Mmsk/xnhTvcHM04yvUtr+fpPk9zRb0rnC5NiiC8SjhxzeKIaxbnXXcy6yTrDqzzhp41+9fw8tKXvef9hASE0CGyQ4Hg06Z2G/x9S3a4aM2aNXn00Ud5+OGHmT9/PuPHj+cf//gHL774Itdccw2jR4/muuuuw9f34maeExE5l5ycHNasWeMNNIsWLeLw4cOAe3KVmJgYHnroIXr16kXHjh3x89NH3spG/+JCXl4e3377rXcY2oYNGwBo27Ytf/zjH0lISKBLly74+JTMN8VSPNJcaby64lVeWvISRzKOMKDFAJ7q8xRX1r/S6dLkEoUEhtCzYU96NvxlOFlWThYbD2309vqs2b+Gt9e8zX9W/Adw9xS1q9OO6Mhob89P+4j2Fz3Bwa/x8fEhLi6OuLg4du/ezRtvvMEbb7xBQkICDRs25O6772bkyJFEREQU+2uLSOVw6tQpli1b5h16tnTpUu81xJo2bcqAAQPo1asXMTExtGzZUkPnRSGnssrIyGD+/PlMnz6dzz//nAMHDuDr60tMTAwvv/wyCQkJNGvWzOkypQjSXGm8tuI1XlzyIkcyjnBt82t5uu/T5zwXRCqGQL9AoutGFxh+mJuXy49HfywQfKZumcqba94E3OcKtarVqsB5PsU1wcFpDRo04JlnnuEvf/kLycnJjB8/nj//+c88/fTT3HTTTYwePZrevXvrA4iI/KojR44UmCRg1apV5OTkYIzh8ssv5/bbb/dOElC/fn2ny5UySCGnEjl48CAzZswgOTmZOXPmkJGRQUhICNdeey0JCQlce+21OvGuHEl3pfPfb//L35f8ncOnDnNN82t4qs9TdGvQzenSxCG+Pr5cFn4Zl4VfxrDLhwHuceq7UncVOM+nNCY48Pf3Z/DgwQwePJjvv/+e//3vf7z77rtMmjSJNm3aMHr0aEaMGEH16tUv+X2LSPm3c+fOAkPPNm7cCEBAQABXXnklv//974mJiaFHjx7UqFHD4WqlPFDIqcCstWzZssU7DG3p0qVYa4mKiuLOO+8kISGBPn36EBgY6HSpcgHSXemMXzmevy/+O4dOHSK+WTxP93ma7lFnTw8sYozxXgD1hstu8K4/lH6ItfvXlsoEB61ateKVV15h3LhxTJw4kfHjx/PAAw/w+OOPc8sttzB69Gg6dtQU5iKVRV5eHps3b/YOPVu4cCE7d+4EICQkhJ49ezJs2DDvJAGatVEuhkJOBZOTk8OSJUuYPn06ycnJbN26FYDo6GiefvppEhIS6NChg4aKlEOnsk8x/tvx/H3J3zmYfpC4pnE83fdpekT1cLo0KYdqV619yRMcdIzsyGXhlxHkV7QPIFWqVOHOO+/kzjvvZOXKlYwfP57333+fCRMm0L17d0aPHs2QIUP0gUakgsnOzmb16tXeQLN48WKOHDkCuC8+HBMTw2OPPUZMTAzt27fXZCVSLM4bcowxUcD7QCSQB0yw1v7LGPMiMBBwAT8Bd1hrj3uOeQIYCeQCD1prZ5dQ/eVadnY2GRkZZGRkcOrUqQL3F7u8fv16jh49SkBAAFdddRWPPvooAwcOpEGDBk6/XblIGdkZ/G/l//jb4r9xIP0AVze9mqf7PF3gJHSR4nAxExz4GB9a1GxBuzrtCtya12yOn8+5/8R07tyZt956i5deeon33nuP8ePHc+utt/LII49wxx13cM899+i8QJFyKi0tjWXLlnmHni1btoxTp04B0Lx5cxISErzn0zRv3lxfvEqJKEpPTg7wmLV2tTEmBFhljJkLzAWesNbmGGP+BjwBjDHGtAFuBtoC9YB5xpiW1trcEnoPxcZaS1ZWFidPnmTPnj2XFDqKsu+ZVxEvqoCAAIKDgwkODqZKlSoFlq+//noGDhxI//79CQkJKeYWktKUkZ3B66te52+L/8b+tP1c1eQqJveZTEyjmPMfLFJMfm2Cg3UH1rHh4AY2HNzAugPrmLp5qne4W4BvAK3DW9O2Tlva1f4l/DSq0ajAkLewsDAefvhhHnroIb766ivGjx/PK6+8wksvvUT//v0ZPXo0AwYM0PSvImXY4cOHCww9W716Nbm5ufj4+NChQwdGjhzpDTV169Z1ulypJM77V8Nauw/Y51k+aYzZDNS31s7Jt9syINGzfAMw0VqbBWw3xmwFugBLi7XyEpCWlkZoaOhFHXuu0BEcHExkZKR3ubDtRVnOv07duBVbZk4mE1ZN4IVFL7AvbR+xjWOZlDiJ3o16O12aCFBwgoOhbYd612dkZ7D58GY2HNzAxoMb2XBoA4t2LiowyUFV/6pnBZ92ddoRWS2Sfv360a9fP/bs2cObb77JhAkTGDRoEFFRUYwaNYq77rpLFx8WcZi1lp9//rnARTe3bNkCQGBgIF26dGHMmDHExMTQvXt3TS5Sjh1MP8iinYsICwojtkms0+VcMGOtLfrOxjQGFgDtrLWp+dZ/Dkyy1n5ojHkVWGat/dCz7S3gS2tt0hnPNQoYBRAREXHFxIkTL/GtXLrc3FxO1xEaGkpgYGCRbgEBAepqLQZpaWlUq1bN6TIc48pzMWPfDD7Z+QmHXYfpUL0Dtze+nY41Sv6E7Mre9k6qDG2flpPGz+k/s/3Udranu2870ndwLPuYd59Qv1AaV21Mk6pN3LcqTYgKimLDtxuYPn06q1at8k5zf8MNN1zyuYWVod3LKrW9cy6m7fPy8tixYwfr1q1j/fr1rF+/nkOHDgFQtWpV2rVrR/v27bn88stp1aoVAQEBJVF6uVfWf+6ttRzIOsC6E+vct+Pr2JWxC4CY8BiebfuswxW6xcbGrrLWdi7KvkUOOcaYasA3wDhr7dR86/8MdAZustZaY8xrwNIzQs4X1top53ruzp0725UrVxapjtKQkpJC3759nS6j0qms7Z6Vk8Wbq9/k+UXPs+fkHmIaxvBM32dK9VuTytr2ZUFlbvuD6QfdPT6eIW8bDrl7gE5knfDuU7daXdrVaUd9//rsXbuXpdOXcnLbSVo3a83o0aO59dZbL+qb4src7k5T2zunKG3vcrlYtWpVgUkCjh1zfyFRt25dYmJivLd27dppdEkRlbWf+zybx+ZDm1m4cyELdy5kwc8L2J26G4AaQTXo1bAXMQ1jiGkYwxX1riDAt2yEV2NMkUNOkQY5G2P8gSnAR2cEnNuA64F+9pe0tBuIynd4A2BvUV5HpDLJysnirTVv8fyi59mdupteDXvx/o3vE9s4Vj2DUinUqVqHOk3qFAj01lr2nNzzS/Dx3BbtXERGcIb7jE9g26ltPLj0QR6d+Si9WvbinpvuYVCvQQT6aUp8kQtx8uRJli5d6g01y5cvJzMzE4CWLVty0003eUNNkyZN9PepnMrOzWbN/jUs/HkhC3YuYNHORRz4sgIeAAAgAElEQVTNOAq4v0zq3ai3O9Q0iqFdnXYXdbmAsqYos6sZ4C1gs7X25XzrrwHGAH2stafyHZIMfGyMeRn3xAMtgBXFWrVIOZaVk8U7a9/h/xb+H7tSd9Ejqgfv3PAO/Zr00x8PqfSMMTQIbUCD0AZc0/wa7/rcvFy2H99eIPh8G/Et21O3k2JSSPkmBb6GeoH16Na0Gx3qdvCe79MsrBm+Pvq2WQTcFwbPP0nA2rVrvZMEdOrUiXvuuYeYmBh69uxJRESE0+XKRTqVfYrlu5d7e2mW7l7KqWzPDHc1mzOo1SBiGrl7apqGNa2Qnz+K0pPTExgBrDfGrPWs+xPwbyAQmOtpmGXW2nustRuNMZ8Cm3DPzHZfeZhZTaSkuXJdvLPmHcYtHMeu1F10b9CdtxLe4uqmV1fIXy4ixcnXx5fmNZu7/zhfNsi73pXrYtWOVbz+2evMWDGDvT57mXZoGlOrTwXPf6tA30Ba127tDj2eCQ9OZp7EWqv/e1Lh5eTkkJKSwpQpU5g5cya7drnPswgKCqJr16488cQT3kkCNCtr+XUs4xiLdy1mwc8LWLhzIav2riI7LxuDoUNkB0Z2GklMwxh6NexF3ZDKMcNdUWZXW4T3T0UBX/zKMeOAcZdQl0iF4cp18d7a9xi3cBw/n/iZbg268WbCm8Q1jdMHLJFLFOAbQPdm3en+++5Ya0lJSWH8+PFM/d9UcsNyaXtVW5r3aE5mlUxSdqTw4boPvcfes/Ye2ke0p0NEB/d9pLv3p4p/FQffkcily87O5quvvmLy5MlMmzaNI0eOULVqVdq3b8/9999PTEwMV1xxhSYJKMf2ntzrHnrmCTUbDm7AYvH38adL/S481v0xYhrF0COqBzWCajhdriN04QGREpKdm81737nDzY7jO+hSvwv/u/5/9G/WX+FGpAQYY4iNjSU2NpZ9+/Z5p6Ge/tF0GjRowKhRoxhy2xCO+BxhyqIpZFbP5LsD3/Hud++S5kpzPweGFrVa/BJ8IjrQIbIDUaFR+n97kfLy8sjJySE7O5vs7GxcLpfTJVVILpeLefPmMXnyZKZPn86xY8cICQlh4MCBJCYm0r9/f1asWFGmTn6XorHWsvXoVu/Qs4U7F7Lt2DYAqgVUo0dUD4a2HUpMwxi61O9CsH+wwxWXDQo5IsUsOzebD9Z9wHMLnmP78e1cWe9K/nvdf7mm+TX6kCRSSurWrcuTTz7JE088wYwZMxg/fjxjx47l2WefZdCgQXTu3Jl+LftBhHuWob0Ze/kx9Ue2pm7lh9QfWLpjKZM3TfY+X4hfCM1Dm9MytCXNQ5rTIrQFzUKaEeQbVOrvzVpLbm4u2dnZBcLDmY8vdLmkjsnLyytQv7+/P7179yY+Pp7+/fvTvn17/W68SJmZmcyZM4ekpCSSk5M5ceIEoaGh3HDDDSQmJhIfH09QUOn/jMqlyc3LZf3B9d5As/DnhRxIPwBAeJVwYhrGcP+V9xPTKIaOkR3x89HH+cKoVUSKSU5eDh989wHPLXyObce20bleZ/5z7X+4rsV1+gMu4hA/Pz8GDRrEoEGD2Lp1K6+//jpvv/02SUlJ5z84AIhw305GnGRN5BrWRKxxrwfIA44C+4EDntt+ILXQZytTfHx88PPzw9/fH39//3Mun/k4ODj4go85c3np0qVs2bKFMWPGMGbMGCIiIoiLiyM+Pp64uDhd8PU8MjIymDVrFklJSXz++eecPHmSGjVqcOONNzJkyBD69etHYKBmGSxPsnKyWLl3pTfULN61mNQs9y+SRtUbEdcszjud82Xhl+kzRREp5IgUg4kbJvKXr/7CT8d+IrpuNJ8P+5wBLQboF5FIGdK8eXNefPFFnn32WV599VVat259wc+RZ/M44DrgvrBpxnZ21NzB9nrbOeA64N2nmm81Ggc3pkmVJu774CY0DG5IoE/xffD09fW9qIBxetnHx7npYTt16kTfvn3Zu3cvc+fOZc6cOcyePZsPP3SfL9WhQwfi4+OJj4+nV69e6okA0tPT+fLLL0lKSmLGjBmkp6dTq1YtfvOb35CYmEhsbKzOrylHTmadZOnupd5Qs3z3crJyswBoU7sNw9oN807n3LB6Q4erLb8UckQu0esrX+eemffQMbIj02+ezsCWAxVuRMqw4OBgrrzyymI9NyE1K5X1B9bz3YHv+G7/d6w7uI6vDnxF+sF0AHyMDy1rtXSf45NvooP6IfUr7e+LevXqcdttt3HbbbeRl5fHd9995w08//znP3nxxRcJDg6mT58+3tDTpk2bStNeaWlpzJw5k6SkJL744gtOnTpF7dq1GT58OImJifTt2xc/P32MKw8Oph9kwaEFTJ81nYU7F7Jm/xrybB6+xpfoutHcd+V9xDRyz3wWXiXc6XIrDP3vELkE07dM594v7uW6Ftcx7TfT8Pf1d7okEXFAaGAoPRv2pGfDnt51eTaPbce28d3+79zh58B3LN+znEkbJ3n3qRlc85cJDjzhp22dtgT5Va7ei9PXaOnUqRNjxowhPT2db775hjlz5jBnzhweffRRAOrXr+8NPFdffTXh4RXrA2FqaiozZsxg8uTJzJo1i8zMTCIjI7n99tsZMmQIMTEx+Prqmk9l1dGMo2w8uJGNhzay6dAmNh7ayMaDG73n0wT5BdGtQTf+HPNnYhrG0D2qO9UCqjlcdcWlkCNykZbsWsLNU26mc73OfJr4qQKOiBTgY3y81/YZ3Gawd/2JzBOsP7jeG37WHVjHG6vf8F6oz9f40iq8VcHprSM6UC+kXqXpxahatSrXXXcd1113HQA7d+70Dm2bNm0a77zzDsYYoqOjvRMYdO/evVwO2Tp+/DjJyckkJSUxe/ZsXC4X9erVY9SoUSQmJtKjRw8FmzLmfGEGICQghDa123Bdi+toW7stgYcCGXX9KAJ8y9/PaHmlkCNyEbYc3sLATwYSFRrFjGEzqBpQ1emSRKScqB5UnV4Ne9GrYS/vuty8XH469hPrDqzzhp+lu5YyccNE7z61gmt5A0+r8FY0rtGYxjUa06h6owo/ZWzDhg0ZOXIkI0eOJDc3l1WrVnl7eV588UWef/55qlatSmxsrDf0tGjRosyGwqNHjzJ9+nSSkpKYO3cu2dnZREVFcd9995GYmEi3bt0cPW9K3C4mzLSt05Y2tducNe18SkqKAk4pU8gRuUB7T+6l/4f98ffxZ9bwWdSuWtvpkkSknPP18aVlrZa0rNWSxDaJ3vXHM4+z7sC6AuHn9VWvk5GTUeD4iKoRBULP6eXGNRrTqEajCnWBU19fX7p06UKXLl34y1/+QmpqKikpKcyePZs5c+YwY8YMABo1auQd2tavXz/CwsIcrfvw4cNMmzaNpKQk5s+fT05ODo0bN+ahhx4iMTGRLl26lNlQVtEVZ5iRskMhR+QCnMg8wbUfXcvRjKN8c/s3NA1r6nRJIlKB1QiqQe9GvendqLd3XZ7NY9/Jfew4vqPg7cQOVu1bxdTNU8nOyy7wPHWq1vkl+FRvXKFCUGhoKAkJCSQkJACwbds279C2Tz/9lDfeeAMfHx+6dOniDT1du3YtlZP2Dx48yGeffcbkyZNJSUkhNzeXZs2a8dhjjzFkyBCio6P1AbkUKcxULgo5IkWUlZPFjZNuZNOhTcz87Uyi60Y7XZKIVEI+xof6ofWpH1q/wEQHp/1aCFq9bzWfbf6sQoegpk2bcvfdd3P33XeTk5PDihUrvEPbnnvuOZ599llCQ0O56qqr6N+/P/Hx8TRtWnxfWO3bt88bbBYsWEBeXh4tW7bk8ccfJzExkQ4dOujDcglTmBFQyBEpkjybx+3Tb+frHV/z/qD3iW8W73RJIiKFKkoI2p+2/+wQdHwHa/atYdqWabhyXQWOKa8hyM/Pjx49etCjRw+efvppjh07xldffeWdqnratGkANGvWzHsuT2xsLKGhoRf0Onv27GHKlCkkJSWxaNEirLW0adOGv/zlLyQmJtKuXTt9cC4BCjPyaxRyRIrgD3P+wMQNE3mh3wuM6DDC6XJERC6aj/GhXkg96oXUo0dUj7O2V+QQFBYWxuDBgxk8eDDWWrZu3eo9l+eDDz5g/Pjx+Pr60r17d+/Qts6dOxc6u9nOnTu9wWbJkiUAXH755Tz99NMkJibSpk2b0n57FY4r18WJzBOcyDrBvpP7FGbkgijkiJzHy0tf5uVlL/NAlwf4Y88/Ol2OiEiJKukQlHM8hy+yvyDAN4AA3wACfQPd936BBR4Xdd3pxwG+Afj5FP1jjTGGFi1a0KJFC+6//35cLhfLli3z9vI89dRTjB07lrCwMK6++mri4+OJjo7mq6++IikpieXLlwPQsWNHxo0bx+DBg2nVqtWlNX4FkpWTxYmsE96Qct77QtZl5mSe9bwKM1JUCjkiv+KT9Z/w2JzHSGyTyCv9X9EvUBGp9C40BP18/GfvOUFr969l74m95B3MIysni1ybW+y1nSsAnTdM+XjuewVwVZ+r6O3qza4du9j+43bmbJnD5NcnQy6QB00bNeWWcbcQ0yOGRg0a4e/jzwHfAxzddZQA3wD8ff3x9/H/1WVfn7J77ZvMnMxLCicnMk+QlZt13tep6l+V6kHVqR5YnepB1akZXJMmYU3cjz3rTt/XqVpHYUYuiEKOyDnM3zaf26bdRp9Gffjgxg/K9B8kEZGy4nwhKCUlhb59+wLu6wO5cl24cl1k5Wa573OyzrnuovbJK3zbyayT5z3eYiEM6F7wPWxjG9uyt/HRNx9ddDsZTJHC0Ollf1/P48KWfYp2zIZdG/j6669/NZycyDpxVk9cYaoFVCsQRMKrhNMsrNlZ4eRc96GBoRfU8yZyofTTJVKItfvXcuOkG2kV3oppN08jyC/I6ZJERCocXx9fgn2Cy+TFTK215NrcswJQdm422XnZuHJd513OzvU8Ps9yoc9RyH6pOalFft1z9pJtcw/5OrOXpEWtFoX2oBR2HxoYqi/+pMxTyBE5w47jO7j2o2upHlSdL2/5khpBNZwuSURESpkxBj/jh5+PX5mZOOFC5Nm8swLQt8u+5dqrrlVAkUpBIUcknyOnjnDNh9eQmZPJojsW0SC0gdMliYiIXDAf40OgXyCBBHrXVfOrpoAjlYZCjojHqexTDPxkIDuO72DuiLm0rdPW6ZJERERE5CIo5IgAOXk5DJsyjGW7l5E0NImYRjFOlyQiIiIiF0khRyo9ay33zbyP5O+TefXaV7mp9U1OlyQiIiIil8DH6QJEnPbXBX9lwuoJPNHrCe7rcp/T5YiIiIjIJVLIkUrtzdVv8lTKU9zW4TbGXTXO6XJEREREpBgo5EilNeOHGdwz4x76N+vPGwPf0BWURURERCqI84YcY0yUMeZrY8xmY8xGY8xDnvU1jTFzjTE/eu7DPOuNMebfxpitxph1xpjokn4TIhdq+e7lDJ08lI6RHUkamoS/r7/TJYmIiIhIMSlKT04O8Ji1tjXQDbjPGNMGeByYb61tAcz3PAa4FmjhuY0Cxhd71SKX4IcjPzDg4wHUC6nHzN/OpFpANadLEhEREZFidN6QY63dZ61d7Vk+CWwG6gM3AO95dnsPGORZvgF437otA2oYY+oWe+UiF2F/2n76f9gfH+PDrOGziKgW4XRJIiIiIlLMLuicHGNMY6ATsByIsNbuA3cQAup4dqsP7Mp32G7POhFHpWalct1H13Ew/SAzfzuT5jWbO12SiIiIiJQAY60t2o7GVAO+AcZZa6caY45ba2vk237MWhtmjJkJPG+tXeRZPx/4o7V21RnPNwr3cDYiIiKumDhxYvG8o2KQlpZGtWoawlTaSrLds/OyeWL9E6w5vob/a/d/dK3VtURep7zSz7xz1PbOULs7R23vHLW9c9T2xSM2NnaVtbZzUfYt0sVAjTH+wBTgI2vtVM/qA8aYutbafZ7haAc963cDUfkObwDsPfM5rbUTgAkAnTt3tn379i1KKaUiJSWFslRPZVFS7Z5n87j1s1tZdXwV79zwDrd3vL3YX6O808+8c9T2zlC7O0dt7xy1vXPU9qWvKLOrGeAtYLO19uV8m5KB2zzLtwHT862/1TPLWjfgxOlhbSJOeHze43y0/iPGXTVOAUdERESkEihKT05PYASw3hiz1rPuT8ALwKfGmJHATmCIZ9sXwHXAVuAUcEexVixyAf617F+8uORF7u18L0/0esLpckRERESkFJw35HjOrTnXVRL7FbK/Be67xLpELtmnGz/lkdmPcONlN/Lva/+ti32KiIiIVBIXNLuaSHmRsiOFEZ+NoEdUDz666SN8fXydLklERERESolCjlQ46w+sZ9DEQTQLa0bysGSC/YOdLklERERESpFCjlQoO0/s5JqPrqFaQDVmDZ9FzeCaTpckIiIiIqWsSFNIi5QHRzOOcs2H15DuSmfhHQtpWL2h0yWJiIiIiAMUcqRCyMjOIOGTBH469hOzh8/m8ojLnS5JRERERByikCPlXm5eLr+d+luW7FrCxMSJ9G3c1+mSRERERMRBCjlSrllrefDLB5m2ZRr/7P9PhrYd6nRJIiIiIuIwTTwg5drzi57nvyv/yx96/IGHuj3kdDkiIiIiUgYo5Ei59e7ad/nzV3/mlstv4YWrX3C6HBEREREpIxRypFz68scvuSv5LuKaxvH2DW/jY/SjLCIiIiJu+mQo5c63e74lcXIi7SPaM2XoFAJ8A5wuSURERETKEIUcKVe2Ht3KgI8HUKdqHb645QtCAkOcLklEREREyhiFHCk3DqQdoP+H/cmzecwePpvIapFOlyQiIiIiZZCmkJZyIc2VxoCPB7Dv5D6+vu1rWtZq6XRJIiIiIlJGKeRImZedm03ip4ms3b+WaTdPo2uDrk6XJCIiIiJlmEKOlGnWWu76/C5m/zSbNwa+wfUtr3e6JBEREREp43ROjpRpf/7qz7z/3fs80/cZ7oq+y+lyRERERKQcUMiRMuvVFa/y/KLnGRU9iid7P+l0OSIiIiJSTijkSJk0ZdMUHvzyQRJaJfDagNcwxjhdkoiIiIiUEwo5UuYs/Hkht0y9hW4NuvHJ4E/w89GpYyIiIiJSdAo5UqZsPLiRhIkJNK7RmM+HfU4V/ypOlyQiIiIi5YxCjpQZh7IOcc1H1xDkF8Ss4bOoVaWW0yWJiIiISDmkcUBSJhzPPM6Y9WM4kX2CBXcsoHGNxk6XJCIiIiLllEKOOM5ay53T72TnqZ3MHj6bjpEdnS5JRERERMoxDVcTx7327Wt8tuUzRjUZRb+m/ZwuR0RERETKOfXkiKNW71vNY3Me4/qW1zMkcojT5YiIiIhIBXDenhxjzNvGmIPGmA351nU0xiwzxqw1xqw0xnTxrDfGmH8bY7YaY9YZY6JLsngp31KzUhk6eSh1qtbh3Rve1bVwRERERKRYFGW42rvANWes+zvwjLW2IzDW8xjgWqCF5zYKGF88ZUpFY61l1Oej2HF8B58M/kQzqYmIiIhIsTlvyLHWLgCOnrkaCPUsVwf2epZvAN63bsuAGsaYusVVrFQcb6x+g0kbJ/HX2L/Sq2Evp8sRERERkQrEWGvPv5MxjYEZ1tp2nsetgdmAwR2UelhrfzbGzABesNYu8uw3HxhjrV1ZyHOOwt3bQ0RExBUTJ04sljdUHNLS0qhWrZrTZVRYP6X9xL1r7qV99fb87fK/4WPcWVvt7hy1vXPU9s5QuztHbe8ctb1z1PbFIzY2dpW1tnNR9r3YiQdGA49Ya6cYY4YCbwFX4w49Zyo0RVlrJwATADp37mz79u17kaUUv5SUFMpSPRVJmiuN0W+MpmaVmsy4cwYR1SK829TuzlHbO0dt7wy1u3PU9s5R2ztHbV/6LnYK6duAqZ7lyUAXz/JuICrffg34ZSibCPd9cR/fH/6ej2/6uEDAEREREREpLhcbcvYCfTzLVwE/epaTgVs9s6x1A05Ya/ddYo1SQby39j3e/+59xvYZS2yTWKfLEREREZEK6rzD1YwxnwB9gXBjzG7gKeB3wL+MMX5AJp5za4AvgOuArcAp4I4SqFnKoc2HNnPvF/fSt3Ffnuz9pNPliIiIiEgFdt6QY60ddo5NVxSyrwXuu9SipGI5lX2KoUlDqepflY9u+ghfH1+nSxIRERGRCuxiJx4QKbKHZz3MhoMbmHXLLOqF1HO6HBERERGp4C72nByRIvlk/Se8sfoNHu/5OP2b93e6HBERERGpBBRypMT8eORHRs0YRc+onvz1qr86XY6IiIiIVBIKOVIiMnMyGZo0lADfAD4Z/Al+PhoZKSIiIiKlQ588pUT8Yc4fWLt/Lck3JxNVPer8B4iIiIiIFBP15Eixm7JpCq9++yqPdnuUga0GOl2OiIiIiFQyCjlSrLYf287I5JFcWe9Knr/6eafLEREREZFKSCFHio0r18XNU24GYFLiJAJ8AxyuSEREREQqI52TI8XmiXlPsGLPCpKGJNEkrInT5YiIiIhIJaWeHCkWn3//OS8ve5n7rryPwW0GO12OiIiIiFRiCjlyyXad2MXt02+nY2RHXop/yelyRERERKSSU8iRS5Kdm82wKcNw5br4NPFTgvyCnC5JRERERCo5nZMjl+SplKdYvGsxH9/0MS1qtXC6HBERERER9eTIxZu9dTbPL3qeuzrdxbDLhzldjoiIiIgIoJAjF2nvyb2M+GwE7eq041/X/svpckREREREvBRy5ILl5uVyy9RbSM9OZ1LiJKr4V3G6JBERERERL52TIxfsuQXPkbIjhXdueIc2tds4XY6IiIiISAHqyZEL8vX2r3nmm2e4tcOt3N7xdqfLERERERE5i0KOFNnB9IP8dupvaVmrJa9d95rT5YiIiIiIFErD1aRI8mweIz4bwfHM48wePptqAdWcLklEREREpFAKOVIkf1v0N+b8NIfXr3+d9hHtnS5HREREROScNFxNzmvRzkU8+fWT/Kbtb/hd9O+cLkdERERE5Fcp5MivOnLqCMOmDKNxjcZMGDgBY4zTJYmIiIiI/CoNV5NzstZy+/TbOZh+kKUjlxIaGOp0SSIiIiIi56WQI+f0yrJXmPHDDP59zb+JrhvtdDkiIiIiIkWi4WpSqBV7VjBm3hhuvOxG7u9yv9PliIiIiIgU2XlDjjHmbWPMQWPMhjPWP2CM+d4Ys9EY8/d8658wxmz1bOtfEkVLyTqeeZzfJP2G+iH1eSvhLZ2HIyIiIiLlSlGGq70LvAq8f3qFMSYWuAFob63NMsbU8axvA9wMtAXqAfOMMS2ttbnFXbiUDGstI5NHsjt1NwvvWEhYcJjTJYmIiIiIXJDz9uRYaxcAR89YPRp4wVqb5dnnoGf9DcBEa22WtXY7sBXoUoz1Sgn777f/ZermqTzf73m6NejmdDkiIiIiIhfMWGvPv5MxjYEZ1tp2nsdrgenANUAm8Htr7bfGmFeBZdbaDz37vQV8aa1NKuQ5RwGjACIiIq6YOHFisbyh4pCWlka1atWcLqPU/XDyB+5fcz9XhF3BuHbj8DGle8pWZW33skBt7xy1vTPU7s5R2ztHbe8ctX3xiI2NXWWt7VyUfS92djU/IAzoBlwJfGqMaQoUdvJGoSnKWjsBmADQuXNn27dv34sspfilpKRQluopDalZqfxuwu+oU60On4/8nPAq4aVeQ2Vs97JCbe8ctb0z1O7OUds7R23vHLV96bvYkLMbmGrd3UArjDF5QLhnfVS+/RoAey+tRClp1lrunnE3249t5+vbvnYk4IiIiIiIFJeLHY80DbgKwBjTEggADgPJwM3GmEBjTBOgBbCiOAqVkvPm6jeZuGEiz8Y+S0yjGKfLERERERG5JOftyTHGfAL0BcKNMbuBp4C3gbc900q7gNs8vTobjTGfApuAHOA+zaxWtq0/sJ4HZz1IXNM4Hu/1uNPliIiIiIhcsvOGHGvtsHNsGn6O/ccB4y6lKCkd6a50hiYNpUZQDT648YNSn2hARERERKQkXOw5OVIB3PfFfXx/+Hvm3TqPiGoRTpcjIiIiIlIs9NV9JfXe2vd477v3eLL3k1zV5CqnyxERERERKTYKOZXQlsNbuPeLe+nTqA9j+4x1uhwRERERkWKlkFPJZGRnMHTyUKr4V+HjwR/j6+PrdEkiIiIiIsVK5+RUMg/Pepj1B9fz5S1fUi+kntPliIiIiIgUO/XkVCITN0xkwuoJjOk5hmuaX+N0OSIiIiIiJUIhp5LYenQroz4fRY+oHvw19q9OlyMiIiIiUmIUciqBrJwshk4eip+PH58M/gR/X3+nSxIRERERKTE6J6cS+MPcP7Bm/xqm3zydhtUbOl2OiIiIiEiJUk9OBTd181T+s+I/PNLtERJaJThdjoiIiIhIiVPIqcC2H9vOndPvpHO9zrxw9QtOlyMiIiIiUioUciooV66Lm6fcjMUyKXESAb4BTpckIiIiIlIqdE5OBfWn+X9ixZ4VTB4ymaZhTZ0uR0RERESk1KgnpwKa8cMM/rH0H9zb+V4S2yQ6XY6IiIiISKlSyKlgdqfu5rZpt9ExsiP/6P8Pp8sRERERESl1CjkVSE5eDsOmDMOV62JS4iSC/IKcLklEREREpNTpnJwKIs/m8cisR1i0cxEf3fQRLWu1dLokERERERFHKORUAOmudEZ8NoLPtnzGw10f5reX/9bpkkREREREHKOQU87tSd1DwsQE1u5fyyv9X+Ghrg85XZKIiIiIiKMUcsqxVXtXkTAxgdSsVJJvTmZAywFOlyQiIiIi4jhNPFBOTd08ld7v9sbPx4/Fdy5WwBERERER8VDIKWestbyw6AUGfzqY9hH/3969R9d45n8ff38bJULqFLTT+KHaKW2OpBo9OE7QKWkNqto+WtrB6tRpHtNhakoHz9LF6g8/Rkvr1KowSpWqpkF+hokSGnGIU1UJrUOKJnVKuJ4/kqYOURGRm+zPay3L3ve+9n1/fO2Vvb+57vvaYT6UBAIAABhgSURBVKx9aS1hNcO8jiUiIiIicsPQ6Wo3kdM5p+m1uBczNs7g6ZCnmRo7lfK3lvc6loiIiIjIDUVNzk3iyIkj/GHOH/j33n8zrNkwXm/2OmbmdSwRERERkRuOmpybQNrhNNrNbsf+H/czu+Nsng552utIIiIiIiI3rCtek2NmU83skJltLuCxgWbmzCwo776Z2Xgz22VmqWbW8HqE9iVffP0FTd5rQtaZLBJfSFSDIyIiIiJyBYVZeGA60PbijWZWC4gB9p63+THgnrw/PYFJ1x7Rd01aN4nHZj3Gf1X6L9a+tJbo4GivI4mIiIiI3PCu2OQ451YCPxTw0H8DrwLuvG1PADNdrjVAZTO7o1iS+pCcczn0+6wfLy95mbZ3t2V1j9XUrlzb61giIiIiIjcFc85deZBZHWCxcy4k734s0Mo518/M9gBRzrkjZrYYGOWcW5U3bhnwV+dccgH77EnubA81a9ZsFBcXVzz/omKQlZVFxYoVPTn2Tzk/MTxtOF/+8CWd7uxE73q98TM/T7KUNC/r7utUe++o9t5Q3b2j2ntHtfeOal88WrRosd45F1WYsVe98ICZBQCvAa0LeriAbQV2Uc65ycBkgKioKNe8efOrjXLdJCYm4kWePcf20H52e9KOpvH242/TK6pXiWfwkld1F9XeS6q9N1R376j23vGy9tnZ2aSnp3Pq1ClPju+1SpUq4e/v73WMm4a/vz/BwcHceuutRd5HUVZXqwfUBTbmLWEcDGwws8ZAOlDrvLHBwIEip/MhSfuSeCLuCbLPZbP0uaX87q7feR1JREREpFikp6cTGBhInTp1fPIrMDIzMwkMDPQ6xk3BOUdGRgbp6enUrVu3yPspzMIDFx94k3OuhnOujnOuDrmNTUPn3PfAJ0C3vFXWooHjzrnvipzOR3y46UNazGjBbeVuI+nFJDU4IiIiUqqcOnWKatWq+WSDI1fHzKhWrdo1z/oVZgnp2UAScK+ZpZvZi78yfAmwG9gFTAFevqZ0pZxzjqErhvLs/Gd5MPhBvnzpS+oH1fc6loiIiEixU4MjhVUcr5Urnq7mnOt6hcfrnHfbAX+65lQ+4GT2Sbov7M6cLXPoHtGdt9u9TVm/sl7HEhERERG56V316Wpy7b7P+p7mM5ozd8tc3vzdm7wX+54aHBEREZHryM/Pj4iICEJCQmjfvj3Hjh0r8r7q1KnDkSNHLtk+depUQkNDCQsLIyQkhIULFwIwa9YsDhwo2mXq06dP55VXXrnimOrVqxMREcF9993HlClTChyXnJxM3759i5TjZqMmp4Rt/H4jjac0ZvOhzczvMp9XH35V07ciIiIi11n58uVJSUlh8+bNVK1alYkTJxbr/tPT0xk5ciSrVq0iNTWVNWvWEBYWBlxbk1NYXbp0ISUlhcTERP72t79x8ODBCx7PyckhKiqK8ePHX9ccN4qirK4mRbRo+yK6ftSVyv6VWdV9FZF3RHodSURERKRE9e/fn5SUlGLdZ0REBGPHji30+CZNmpCampp/f/To0cydO5fTp0/ToUMH3njjDQCefPJJ9u3bx6lTp+jXrx89e/a87D4PHTpEYGBg/vfhVKxYkYoVKzJv3jy++uornn32WcqXL09SUhL/+c9/GDhwIDk5OTzwwANMmjSJcuXKsW7dOvr168dPP/1EuXLlWLZs2QXH+PTTTxkxYgSLFi0iKCiowBw1atSgXr16fPvtt0yaNIkDBw6wZ88egoKC6NmzJ2PGjGHx4sVkZWXRp08fkpOTMTOGDh1Kx44diY+PZ+jQoZw+fZp69eoxbdq0m/I7fjSTUwKcc7yV9BZPxD1B/aD6rP3jWjU4IiIiIh44e/Ysy5YtIzY2FoD4+Hh27tzJ2rVrSUlJYf369axcuRLIPf1s/fr1JCcnM378eDIyMi673/DwcGrWrEndunXp3r07ixYtAqBTp05ERkYya9YsUlJSMDNeeOEF5syZw6ZNm8jJyWHSpEmcOXOGLl26MG7cODZu3EhCQgLly5fP3/+CBQsYNWoUS5YsuWyDA7B79252797N3XffDcD69etZuHAhH3744QXjhg8fTqVKldi0aROpqam0bNmSI0eOMGLECBISEtiwYQNRUVG89dZbRSu0xzSTc51ln83mT0v+xJQNU+jYoCMzO8wk4NYAr2OJiIiIeOJqZlyK08mTJ4mIiGDPnj00atSImJgYILfJiY+PJzIy9xfQWVlZ7Ny5k6ZNmzJ+/HgWLFgAwL59+9i5cyfVqlUrcP9+fn4sXbqUdevWsWzZMgYMGMD69esZNmzYBeO2b99O3bp1+e1vfwvA888/z8SJE2nVqhV33HEHDzzwAAC33XZb/nNWrFhBcnIy8fHxF2w/35w5c1i1ahXlypXjnXfeoWrVqgDExsZe0Cz9LCEhgbi4uPz7VapUYfHixWzdupWHH34YgDNnztCkSZNfL+wNSk3OdXT05FE6/asTy79Zzt8e+RvDWw7nFtPkmYiIiEhJ+/manOPHj9OuXTsmTpxI3759cc4xePBgevXqdcH4xMREEhISSEpKIiAggObNm1/xu1vMjMaNG9O4cWNiYmLo3r37JU1O7mLEl3LOXfY67bvuuovdu3ezY8cOoqKiChzTpUsXJkyYcMn2ChUqFPp4zjliYmKYPXt2gc+5megT93WyM2Mn0e9F8+9v/82MJ2cwstVINTgiIiIiHqtUqRLjx49nzJgxZGdn06ZNG6ZOnUpWVhYA+/fv59ChQxw/fpwqVaoQEBDAtm3bWLNmza/u98CBA2zYsCH/fkpKCrVr1wZyr8/JzMwEoH79+uzZs4ddu3YB8P7779OsWTPq16/PgQMHWLduHQCZmZnk5OQAULt2bebPn0+3bt3YsmVLsdShdevWFzRFR48eJTo6mtWrV+dnO3HiBDt27CiW45U0feq+DhL3JPLguw/yw8kfWP78crqFd/M6koiIiIjkiYyMJDw8nLi4OFq3bs0zzzxDkyZNCA0NpVOnTmRmZtK2bVtycnIICwvj73//O9HR0b+6z+zsbAYOHEj9+vWJiIhgzpw5jBs3DoBnn32W3r17ExERgXOOadOm0blzZ0JDQ7nlllvo3bs3ZcuWZc6cOfTp04fw8HBiYmIumDm69957mTVrFp07d+brr7++5hoMGTKEo0ePEhISQnh4OCtWrKB69epMnz6drl27EhYWRnR0NNu2bbvmY3nBLjdlVpKioqJccnKy1zHyJSYm0rx58yI9970N79H7097cU/UeFj+zmLuq3FW84Uqxa6m7XBvV3juqvTdUd++o9t7xsvZpaWk0aNDAk2PfCDIzMwkMDPQ6xk2loNeMma13zhV8vt5FNJNTTM6eO8urX7zKS4teomXdliS9mKQGR0RERETEA1p4oBhkncniufnPsXD7Ql6Oeplxj42jzC0qrYiIiIiIF/RJ/BrtO76P9rPbs+nQJv7nsf/hlcaveB1JRERERMSnqcm5Buv2ryM2LpafzvzEp898Stu723odSURERETE5+manCL615Z/0XR6U/zL+JP0YpIaHBERERGRG4SanKvknGPkypE8Ne8pGt7RkC9f+pL7a9zvdSwREREREcmjJucqnM45TbePuzFkxRCeC3uOZd2WUaNCDa9jiYiIiMgV+Pn5ERERQUhICJ07d+bEiRNF3ldiYiLt2rUD4JNPPmHUqFGXHXvs2DGmTJly1ccYNmwYY8aMuWT79u3bad68ORERETRo0ICePXsCuV8+umTJkqs+zs8qVqx4xTGFreHvf/97jh07VuQsxUFNTiEd/ukwrWa24oPUDxjeYjgzn5yJfxl/r2OJiIiISCGUL1+elJQUNm/eTNmyZXn77bcveNw5x7lz5656v7GxsQwaNOiyjx87dox33333qvd7OX379mXAgAGkpKSQlpZGnz59gGtvcgqjsDVcsmQJlStXvq5ZrkQLDxTClkNbaD+7Pd9lfcfcTnPpfH9nryOJiIiI3JT6L+1PyvcpxbrPiNsjGNt2bKHHP/roo6SmprJnzx4ee+wxWrRoQVJSEh9//DHbt29n6NChnD59mnr16jFt2jQqVqzI0qVL6d+/P0FBQTRs2DB/X9OnTyc5OZkJEyZw8OBBevfuze7duwGYNGkS48eP55tvviEiIoKYmBhGjx7N6NGjmTt3LqdPn6ZDhw688cYbAIwcOZKZM2dSq1YtqlevTqNGjS7J/t133xEcHJx/PzQ0lDNnzvD6669z8uRJVq1axeDBg4mJiaFHjx7s3r2bgIAAJk+eTFhYGFlZWfTp04fk5GTMjKFDh9KxY8f8/R05coT27dszZMgQHn/88SLVsFmzZiQnJxMUFMTMmTMZM2YMZkZYWBjvv/8+hw8fpnfv3uzduxeAsWPH8vDDDxf6/68w1ORcwee7PuepeU8RcGsA//vC/9L4zsZeRxIRERGRIsrJyeGzzz6jbdvcRaO2b9/OtGnT+Oc//8mRI0cYMWIECQkJVKhQgTfffJO33nqLV199lT/+8Y8sX76cu+++my5duhS47759+9KsWTMWLFjA2bNnycrKYtSoUaSmppKSktvYxcfHs3PnTtauXYtzjtjYWFauXEmFChWIi4vjq6++Iicnh4YNGxbY5AwYMICWLVvy0EMP0bp1a7p3707lypX5xz/+kd9sAfTp04fIyEg+/vhjli9fTrdu3UhJSWH48OFUqlSJTZs2AXD06NH8fR88eJDY2FhGjBhBTExMkWp4vi1btjBy5EhWr15NUFAQP/zwAwD9+vVjwIABPPLII+zdu5c2bdqQlpZWqP+/wlKT8ysmrJ1Av6X9CK0RyqKui6hVqZbXkURERERualcz41KcTp48SUREBJA7C/Hiiy9y4MABateuTXR0NABr1qxh69at+bMKZ86coUmTJmzbto26detyzz33APDcc88xefLkS46xfPlyZs6cCeRev1KpUqULmgjIbXLi4+OJjIwEICsri507d5KZmUmHDh0ICAgAck+DK0j37t1p06YNS5cuZeHChbzzzjts3LjxknGrVq3io48+AqBly5ZkZGRw/PhxEhISiIuLyx9XpUoVALKzs2nVqhUTJ06kWbNmRa7hxfXo1KkTQUFBAFStWhWAhIQEtm7dmj/uxx9/JDMzk8DAwAKPWxRqcgpw1p3llSWvMHHdRGLvjWXWH2ZRseyVL8YSERERkRvTz9eTXKxChQr5t51zxMTEMHv27AvGpKSkYGbFksM5x+DBg+nVq9cF28eOHVvoY/zmN7+hR48e9OjRg5CQEDZv3lzgcS5mZjjnCjxOmTJlaNSoEZ9//vllm5zC1PDiDAUd69y5cyQlJVG+fPkCn1cctPDARY6fOs6gTYOYuG4iA5sMZP5T89XgiIiIiPiA6OhoVq9eza5duwA4ceIEO3bsoH79+nzzzTd8/fXXAJc0QT9r1aoVkyZNAuDs2bP8+OOPBAYGkpWVlT+mTZs2TJ06NX/b/v37OXToEE2bNmXBggWcPHmSzMxMFi1aVOAxli5dSnZ2NgDff/89GRkZ3HnnnQQGBpKZmZk/rmnTpsyaNQvIXQ0uKCiI2267jdatW+ef0ga/nK5mZkydOpVt27b96mpxV6NVq1bMnTuXjIwMgPzT1S7OUFDjdK3U5JznQOYBHpr6EF8d+4p327/L6Naj8bvFz+tYIiIiIlICqlevzvTp0+natSthYWFER0ezbds2/P39mTx5Mo8//jiPPPIItWvXLvD548aNY8WKFYSGhtKoUSO2bNlCtWrVePDBBwkJCeEvf/kLrVu35plnnqFJkyaEhobSqVMnMjMzadiwIV26dCEiIoKOHTvy6KOPFniM+Ph4QkJCCA8Pp02bNowePZrbb7+dFi1asHXrViIiIpgzZw7Dhg0jOTmZsLAwBg0axIwZMwAYMmQIR48ezd/HihUr8vft5+dHXFwcK1asuOT6mqK4//77ee2112jWrBnh4eH8+c9/BmD8+PH52e67775LVmkrDlbQVFZJi4qKcsnJyV7H4HTOabrM60Kzcs0Y0GGA13F8TmJiIs2bN/c6hk9S7b2j2ntDdfeOau8dL2uflpZGgwYNPDn2jaC4rzfxBQW9ZsxsvXMuqjDP10zOecqVKcfHT39MZJVIr6OIiIiIiEgRqckREREREZFS5YpNjplNNbNDZrb5vG2jzWybmaWa2QIzq3zeY4PNbJeZbTezNtcruIiIiIjcPG6ESyTk5lAcr5XCzORMB9petO0LIMQ5FwbsAAYDmNl9wNPA/XnP+aeZ6cp9ERERER/m7+9PRkaGGh25IuccGRkZ+Pv7X9N+rvg9Oc65lWZW56Jt8efdXQN0yrv9BBDnnDsNfGNmu4DGQNI1pRQRERGRm1ZwcDDp6ekcPnzY6yieOHXq1DV/aPcl/v7+BAcHX9M+CrW6Wl6Ts9g5F1LAY4uAOc65D8xsArDGOfdB3mPvAZ855+YV8LyeQE+AmjVrNjr/m1e9lpWVRcWK+m6ckqa6e0e1945q7w3V3TuqvXdUe++o9sWjRYsWhV5d7YozOb/GzF4DcoBZP28qYFiBXZRzbjIwGXKXkL6RlpPU8pbeUN29o9p7R7X3huruHdXeO6q9d1T7klfkJsfMngfaAa3cL9NB6UCt84YFAweKHk9EREREROTqFGkJaTNrC/wViHXOnTjvoU+Ap82snJnVBe4B1l57TBERERERkcK54jU5ZjYbaA4EAQeBoeSuplYOyMgbtsY51ztv/GtAD3JPY+vvnPvsiiHMDgPfFu2fcF0EAUe8DuGDVHfvqPbeUe29obp7R7X3jmrvHdW+eNR2zlUvzMBCLTzga8wsubAXNUnxUd29o9p7R7X3huruHdXeO6q9d1T7klek09VERERERERuVGpyRERERESkVFGTU7DJXgfwUaq7d1R776j23lDdvaPae0e1945qX8J0TY6IiIiIiJQqmskREREREZFSRU2OiIiIiIiUKmpyzmNmbc1su5ntMrNBXufxFWZWy8xWmFmamW0xs35eZ/IlZuZnZl+Z2WKvs/gSM6tsZvPMbFvea7+J15l8hZkNyPtZs9nMZpuZv9eZSiszm2pmh8xs83nbqprZF2a2M+/vKl5mLK0uU/vReT9zUs1sgZlV9jJjaVRQ3c97bKCZOTML8iKbr1GTk8fM/ICJwGPAfUBXM7vP21Q+Iwf4v865BkA08CfVvkT1A9K8DuGDxgFLnXP1gXD0f1AizOxOoC8Q5ZwLAfyAp71NVapNB9petG0QsMw5dw+wLO++FL/pXFr7L4AQ51wYsIPcL3eX4jWdS+uOmdUCYoC9JR3IV6nJ+UVjYJdzbrdz7gwQBzzhcSaf4Jz7zjm3Ie92Jrkf9u70NpVvMLNg4HHgXa+z+BIzuw1oCrwH4Jw745w75m0qn1IGKG9mZYAA4IDHeUot59xK4IeLNj8BzMi7PQN4skRD+YiCau+ci3fO5eTdXQMEl3iwUu4yr3mA/wZeBbTiVwlRk/OLO4F9591PRx+0S5yZ1QEigS+9TeIzxpL7Q/ec10F8zF3AYWBa3qmC75pZBa9D+QLn3H5gDLm/Tf0OOO6ci/c2lc+p6Zz7DnJ/yQXU8DiPr+oBfOZ1CF9gZrHAfufcRq+z+BI1Ob+wArap2y5BZlYR+Ajo75z70es8pZ2ZtQMOOefWe53FB5UBGgKTnHORwE/olJ0SkXf9xxNAXeA3QAUze87bVCIly8xeI/dU8VleZyntzCwAeA143essvkZNzi/SgVrn3Q9GpzCUGDO7ldwGZ5Zzbr7XeXzEw0Csme0h9/TMlmb2gbeRfEY6kO6c+3nGch65TY9cf78DvnHOHXbOZQPzgYc8zuRrDprZHQB5fx/yOI9PMbPngXbAs05fllgS6pH7S5WNee+3wcAGM7vd01Q+QE3OL9YB95hZXTMrS+6FqJ94nMknmJmRe21CmnPuLa/z+Arn3GDnXLBzrg65r/flzjn9RrsEOOe+B/aZ2b15m1oBWz2M5Ev2AtFmFpD3s6cVWvShpH0CPJ93+3lgoYdZfIqZtQX+CsQ65054nccXOOc2OedqOOfq5L3fpgMN894H5DpSk5Mn70K8V4DPyX3Dm+uc2+JtKp/xMPB/yJ1JSMn783uvQ4lcZ32AWWaWCkQA/8/jPD4hb/ZsHrAB2ETu++BkT0OVYmY2G0gC7jWzdDN7ERgFxJjZTnJXmxrlZcbS6jK1nwAEAl/kvde+7WnIUugydRcPmGYqRURERESkNNFMjoiIiIiIlCpqckREREREpFRRkyMiIiIiIqWKmhwRERERESlV1OSIiIiIiEipoiZHRERERERKFTU5IiIiIiJSqvx/UL0LahYFASQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/10\n",
      "1975/1975 [==============================] - 9s 4ms/step - loss: 7.8260e-04\n",
      "Epoch 2/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 9.2435e-04\n",
      "Epoch 3/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 9.4017e-04\n",
      "Epoch 4/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.6875e-04\n",
      "Epoch 5/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.4267e-04\n",
      "Epoch 6/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.3817e-04\n",
      "Epoch 7/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.2618e-04\n",
      "Epoch 8/10\n",
      "1975/1975 [==============================] - 9s 4ms/step - loss: 8.3115e-04\n",
      "Epoch 9/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.9834e-04\n",
      "Epoch 10/10\n",
      "1975/1975 [==============================] - 9s 4ms/step - loss: 7.4100e-04\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.1825e-04\n",
      "Epoch 2/10\n",
      "1975/1975 [==============================] - 9s 4ms/step - loss: 7.5771e-04\n",
      "Epoch 3/10\n",
      "1975/1975 [==============================] - 9s 4ms/step - loss: 6.6925e-04\n",
      "Epoch 4/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.3163e-04\n",
      "Epoch 5/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.7818e-04\n",
      "Epoch 6/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.8357e-04\n",
      "Epoch 7/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.4693e-04\n",
      "Epoch 8/10\n",
      "1975/1975 [==============================] - 9s 4ms/step - loss: 7.4791e-04\n",
      "Epoch 9/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.3711e-04\n",
      "Epoch 10/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.2628e-04\n"
     ]
    },
    {
     "data": {
      "image/png": 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g8ccfJzk5maVLl3pCz5QpUwAICQmhadOmdO/enRYtWhS4hYSEaEEDEZEKxFrL5s2bSUhI8Nx++eUXwPVlWMuWLQkLC2PIkCGeMNO+fXtq1KjhcOWVkz6JiSOys7NZsWIF8+bNY/78+WzevPmUY4wxnjBxuqBRp06dM+4vbt+Z9vv5+WkRACkTwcHBDBs2jGHDhgGwe/dulixZwpIlS1i9ejWffvophw4dKvCaatWq0bx581PCT96tYcOGCkEiIg7KzMzkhx9+YNmyZSQkJLB8+XLPEs3169cnMjKSiRMn0qdPH44ePcqQIUMcrrhqUciRC+b48eN88cUXzJs3j0WLFpGUlISvry/9+vVj4sSJBAcHM2TIEE/I8PX11TAvqZSaNm3Kbbfdxm233UZ8fDz9+vXjxIkT7Nq1ix07dpxymzt3bolDUN620NBQhSARkTJ0/PhxVqxY4emlWbVqlWcOTZs2bYiJifH04rdp06bAZ5j4+HiHqq66FHLkvNqxYwfz589n3rx5LF26lKysLOrWrcuVV15JTEwMgwcPpmbNmoDrF4Am5UtVVb16dTp06ECHDh2K3H/y5El27txZZAiaN29egatVgysENWvW7LQ9QQpBIiJntm/fvgJDz3788Udyc3Px9vamW7dujB8/3hNqQkJCnC5XClHIkTKVm5vLd9995wk269evB6B9+/ZMnjyZmJgYevfurTkrImcpMDCw2BB0up6g+fPnnxKCfH19C/QEFe4VCg0N1XBNEakyrLX8/PPPJCQkeIaf5a2SGhgYSO/evXn00UeJjIzk0ksvJSgoyOGKpTj6pCnn7MSJE8TFxTF//nwWLFjAoUOH8Pb2JjIykueff56YmBjatGnjdJkilVpgYCDt27enffv2Re4/UwhasGABBw4cKHC8r69vsT1BCkEiUlFlZmayZs0aTy/N8uXLOXLkCAANGjQgIiKCu+++m4iICLp06YKvr6/DFcvZUsiRUtmzZw8LFixg/vz5LFmyhIyMDIKDg7niiiuIiYnhiiuuoHbt2k6XKSJuxYWgtLS004aghQsXFhmCunTpwpgxY7jpppu0OpCIlGvJycmnzKdJT08HXPNphg8f7hl6dtFFF2lOcCWgkCMlYq1l7dq1zJ8/n/nz57N27VoAWrduzZ133klMTAyRkZH6pkOkggoICKBdu3a0a9euyP2FQ9D27dv5/PPPmTBhAvfffz+33HILEyZMoHPnzhe4chGRU+3du7fA0LOffvoJay3e3t50796dO++8k4iICPr27av5NEU4kHqA5buWk7Argfb12jM+fLzTJZ01hRw5rbS0NL766ivPMLS9e/dijKFPnz4888wzxMTE0KFDB33bIVIFFBWCnn76aVatWsXMmTN56623mDFjBr1792bChAlcf/31BAQEOFixiFQVubm5/Pzzz55Ak5CQwI4dOwDXoi69e/fmr3/9KxEREZpPUwRrLVuTtpKwK4GEXQks27WMbUnbAPD38WdCjwkOV1g6CjlSwMGDBz3D0OLi4jh58iRBQUEMHjyYmJgYhg4dSv369Z0uU0TKAWMMvXr1olevXrzwwgu88847zJw5k1GjRjF58mRuu+02xo8ff9reIRGR0sjIyDhlPk1SUhLgushyREQEkydP9syn0WJHBWXlZJF4INETaBJ2JXD45GEA6gbUJaJZBON7jCeiWQTdQ7tTzbuawxWXjv6rV3HWWtavX++5KOd3332HtZZmzZoxevRoYmJi6NevH35+fk6XKlLhWGtJzUwlOSOZ5PTkU+6PZxxny64trEpYhZfxwhjjuscU+fxMx5zpdSU5pjTvX827GjX8alDTrybBtYKZPHkykyZNYunSpcycOZNXXnmFf/7znwwYMIAJEyYwfPhwqlWrmH8sRcQ5x44dKzCf5rvvvvPMp2nbti3XXHONZz5N69atNcKkkNTMVFbuWekJNSv3rORk1kkAWtZqyRVtriCiaQQRzSJoV68dXqZyXF5AIacKyszMZOnSpZ5gs3PnTgAuueQSnnjiCWJiYujcubN+SZSQtZYFWxawL2Vfge2F289gyu3+LYe2kPxzMgG+AQT4BJz2vpp3tSrz76K4gFLgPiOZY+nHTtl+POM4uTa3+Dfbfv5/ngsh0DeQGtVcoafGgBr0HNiTpP1JrNq2iq/mfEXge4GEdwqnX59+tGjYwnWcX43fX+MOTDWq1cDbSyu3iVRVe/bsKTCfZt26dVhr8fHxoXv37vzpT3/yzKfR9fVOdTD1oGfoWcLuBH7Y/wM5NgeDoUvDLtzR7Q4imkXQt2lfGtds7HS5541CThVx5MgRFi1axLx58/jiiy9ISUkhICCA6Oho/vKXv3DllVcSGhrqdJkVzo5jOxg7fyyLf13sdCnnblPxhxhMsUHIc1+SY0pwX5pvlAoHlGPpx4oNKaUJKN7Gm2D/YIL9gj33LWq1cD3Pt+1M998mfEtkZCS5NheLJdfmuh5bW2Bbcc/P5jVldd6MnAxSMlJIyUzheMbxgo/d9wEhATSs1ZAjKUc4nnmcb7y+4Zvvvin2v2GBwJQv/BS4z7f9lGMUmEQqhNzcXDZt2lRgPk3el69BQUH07t2bESNG0LdvX3r16kX16tUdrrh8KTyfJmFXAluTtgKu+TSXNr6UhyMeJqJZBL2a9CLYP9jhii8chZxKylrL5s2bPRfl/Pbbb8nNzSU0NJQbb7yRmJgYBg4cqInBpZRrc5nx/QweXPwgxhhmXDmD4e2Ge/ZbbIHjrS30vJztX75iOZ26dyItK4207LSS3xfadvjk4SKPzcjJoLSqeVc7YxDy9fYlJSPlvAaUWv61igwpgb6B59yzVc2rGgG+Vef/w192/MLMN2cy54M5HE4+TIOmDRgyfAh9B/TFO8D7jIFpz/E9BZ6nZ6eX6D2LCkw5qTlclnsZ3Rp2o1toN1rWallleilFnJQ3nyYv1CxfvpyjR48Crvk0kZGR3HPPPURGRtK5c2fNpykkOzebH/b/4OmlSdiVwKEThwCoE1CHiGYRjOsxrsLPpykLxf7LMcY0Bd4BGgK5wCxr7UvGmGeBGCAT+AUYba095n7Nw8AdQA5wt7X2i/NUv+D6AJuZmUlaWhqJiYmeYLNtm2tljG7duvGXv/yFmJgYunfvjpdX5Rhr6ZRtSdsYM28MS3cuZVDrQcyOmU2z4GZOl3VO9lTfQ/fQ7uft/Lk2l/Ts9LMPUcWEqpTMFDJzMqlRrYYnoJwukJyPgCJnr3WL1jz7xLM89ehTzJ8/n5kzZ/LOtHf4zxP/Yfjw4dx5553079+/RL+nsnKySMlMISWjYBgq6nnhwLTr5C6eSXiGHJsDQLBfMF0bdvWEnm4Nu9G+Xnt8vbUsvsi5OHbsGN9++22B+TQZGa4vvtq1a8e1115LREQEkZGRtGrVSr+XC8k/nyZhVwIr96zkRNYJwDWfZnDrwUQ0iyCyWWSlmk9TFkoSj7OBKdbatcaYGsAaY0wcEAc8bK3NNsZMBx4GHjTGhAF/BC4GGgGLjTFtrXX/JakisrOzSUtL89xOnjx5Xp/n5v7+rbWfnx8DBgzg3nvv5aqrrqJp06YOtkTlkZObw7+++xePLHmEat7VeGPYG4zuOlq/kEvAy3gR6BtIoG+g06VIOeHr68u1117Ltddey7Zt25g1axZvvvkmsbGxtGnThvHjx3PbbbdRt27d05/D25c6AXWoE1DnrN8/Pj6eS/teyvpD6/nhwA/8sP8HfjjwA6+teY207DQA/Lz96BTSyRV83OGnc0hn/TsWOYPdu3d7Ak1R82nuuusuz3wardZ6quLm04zuOpqIZq5FAirzfJqyUGzIsdbuB/a7H6cYYzYBja21X+Y7bCVwnfvxcOADa20GsN0Ysw24BFhRppWfB5mZmXz44YckJiaSmJh4TqEjKyurVDV4e3sTGBhIQEAAAQEBBR4HBQVRv379IvflPW/RogVRUVFaA76M/fzbz9wx7w6+3f0tV7a5kteuek2/XETKyEUXXcQ//vEPnnjiCWJjY5k5cyb33XcfU6dO5frrr2fChAn06dOnzL9QCPANoGfjnvRs3NOzLSc3hy1HthQIPrGbYpm9djbgCuxt67YtEHy6NexG3cDThzGRyio3N5eNGzd6As2yZcvYtWsX8Pt8muuuu46IiAguueQSzacpxFrLtqRtnmWci5pP81DEQ0Q0i6B3k95Vaj5NWTirgY7GmBZAN2BVoV23Ax+6HzfGFXry7HFvK/eys7MZOXLkKdtPFygCAgKoWbPmKftPd2xRzwvv8/XV0IjyJDs3mxdWvMC0r6cR6BvIu9e8y82dblbvjch54O/vz80338zNN9/M+vXree2113jnnXf497//TadOnZgwYQK33HILNWvWPG81eHt506F+BzrU78BNnW4CXB9Edh/f7Qk9PxxwjYd/f/37ntc1rdnUE3jywk/Tmk31u0IqlYyMDFavXl3g+jR582kaNmxIZGQkU6ZMISIiQvNpipCdm03igUSW7Vx22vk0Y7uPJaJZBD0a9ajS82nKgik8Ifm0BxoTBCwFnrTWfpxv+1QgHLjWWmuNMa8CK6y1/3bvfwNYZK2NLXS+ccA4gJCQkB4ffPBBWfw858Ray759+8jOzqZ27dr4+/vj6+urP1IXSGpqarnqgdp+Yjv/2PwPfk75mch6kUxuM5k61c5+WExFUN7avipR259ZWloaX331FXPnzmXr1q34+/szcOBAhg0bRtu2bUt93rJo9+SsZLalbmNr6la2pm5lW+o2dp/c7VnYo6ZPTS4Kuog2QW1oHdSaNkFtaBrYFG9TtVd7079555xt26emprJ+/XrWrVvHunXr+Pnnnz0jVZo1a0anTp3o2LEjnTp1olGjRvq8VMiRjCNsSd3C5pTNJCYlsvnEZtJzXQumhPqH0jG4I51qdqJTcCeaBTbTfJoS6N+//xprbXhJji1RyDHG+AILgC+stS/k2z4KmAAMtNaedG97GMBa+7T7+RfAY9ba0w5XCw8Pt6tXry5JvRdEfHw8/fr1c7qMKqe8tHtWThbTl0/niaVPEOwfzKtDX+X6sOsr9S/v8tL2VZHavuRWr17NzJkz+c9//kNaWho9e/bkzjvv5IYbbiAw8OzmyZyvdj+ReYKfDv7EDwd+IPFAIj8c+IF1B9d5VhgM8Amgc0jnAkPdOoV0wt/Hv8xrKa/0b945xbX97t27CyzlvH79es98mh49enguuKn5NKfan7KfNfvXsGbfGtf9/jWe6+cZDK2qt+KKsCtc16dp1pcmNZs4XHHFZIwpccgpyepqBngD2FQo4AwBHgQuzws4bvOA/xhjXsC18EAb4LuzqF/EMYkHEhk9dzSJBxK54eIb+NcV/6J+df0iFykPwsPDef3113nuuef497//zYwZM7j99tu55557GDVqFOPHjycsLMzRGqtXq07vpr3p3bS3Z1tWThY///ZzgXk+769/n5lrZgKu5cw71O9QYKhb14ZdqeVfy6kfQ6qA3NxcNmzYUGCRgPzzafr06cP1119PZGQkl1xyyVl/kVCZFQ40q/etZn/qfsAVaNrVa0f/Fv3pEdqD8EbhdG3YlTUr1ijcX2AlGSzZF7gVWGeMSXRvewR4GfAD4tzfcK+01k6w1m4wxvwX2IhrZbaJVW1lNal4MnMy+fs3f+fphKepG1CXj//wMdd0uMbpskSkCLVq1eKuu+5i4sSJJCQkMHPmTGbOnMnLL7/MZZddxoQJE7j22mvx8/NzulTAtQpcp5BOdArpxMgurnmf1lq2H9teYJ7P4l8X8+5P73pe16JWi1MWOGhUQ0OCpHQyMjJYt24dK1eu9MynOXbsGAChoaFERERw3333ERERQadOnTSfxi0v0Kzet9oTbAoHmoGtBtIjtAc9QnvQtWFXavjVcLhqgZKtrpYAFPUbddEZXvMk8OQ51CVywazet5rRc0ez/tB6bu18Ky8OebFUS9KKyIVljCEyMpLIyEhefPFF3n77bV577TVuuukm6tevz+233864ceNo1aqV06WewhhDq9qtaFW7FSPCRni2H0w9WKDHJ/FAIp/8/Ilnf/3A+nQL7Ua7uu1oHtyc5rWa06JWC5oHN6deYD0FICkgNTV5Q0S3AAAgAElEQVSVRYsWERsby8KFCzlxwnV9lQ4dOnD99dd7hp+1bKmL4QLsS9lXYLhZ4UDTvl57BZoKRDFdqqz07HQei3+MZ799ltCgUBbcuIAr217pdFkiUgr169fn/vvvZ8qUKSxevJiZM2fy3HPPMX36dAYPHsyECRO46qqryv230yFBIQy5aAhDLhri2ZaSkcKPB38s0OuzYvcKUjJTCrw20DeQZsHNPKGncAgKrRGqic1VQHJyMvPnzyc2NpbPP/+c9PR0GjRowC233EKTJk0YP3685tNwdoEmb8hZUDUtmFGRlO/f9iLnyYrdK7h93u2u6990u4PnBz2v9edFKgEvLy8GDRrEoEGD2Lt3L2+88QazZ8/mmmuuoXHjxowdO5YxY8Y4XeZZqeFXw3PxvzzWWo6lH2Nn8k52HNvBzmM72Zm80/P8+73fcyTtSIHz+Hr50iy4Gc1rNfeEoBa1WtC8VnOaBDUhJCAEYw1ZWVlkZWWRnZ19yuOitp3t48OHD9OwYUPatWun3oMycuTIEebOnUtsbCxxcXFkZWXRqFEjxo4dy4gRI4iIiMDb25v4+PgqGXAKB5rV+1ZzIPUAUDDQhIeG06NRDwWaSkIhR6qUk1kn+ctXf+HFlS/SNLgpX9zyBYNaD3K6LBE5Dxo3bsy0adN45JFHWLRoETNnzuTxxx/nb3/7Gz169KBdu3ZOl1gq1lpycnJOGyKqZVWjZXZLQnNDSauWRpp/Ghn+GWQGZLK3+l52Vt9JTo0cbFCh1VVzgRTgGJDsvs//OBnXTNsy8PLLL9OkSROio6MZNGgQAwcOrJIfvs/FwYMH+eSTT4iNjeXrr78mJyeH5s2bc/fddzNixAguvfRSvLyqXs9d/kCTN48mf6DpUL8D0a2iXUPOFGgqNYUcqTK+2fkNd8y7g21J27gz/E6mR03XWFqRKsDHx4dhw4YxbNgwtm/fzqxZs3jvvfc4fPiw06WVmre3N76+vvj6+uLj41Pg3t/f3/M4/3bPY29ffDJ9MCmGtGpppPqkkuqdSopPCsl1kkmuk8xRe5RjucfIJbfA+9byqUUDvwaE+IcQGhBKo8BGNK7emCZBTWhasym1Amqd/n3djz/66CNSUlL48ssv+eSTT3jrrbcA6N69uyf09O3bt9wsHFGe7Nmzh48//pjY2FiWLVuGtZY2bdrwwAMPMGLECLp3716lesfyAo1nUYB8gcbLeNG+XnsFmipMIUcqvdTMVB5e/DCvfP8KrWq34quRX9G/ZX+nyxIRB7Rs2ZKnn36awYMHaznXYmTnZrP3+F7XMLhjvw+Fy3u+av8qMnMyC7ymtn9tz3A4z9ygfM8DfAIIDQ3lxhtvZNy4ceTk5LB69Wri4uKIi4vj+eefZ/r06QQEBHD55Zd7Qs/FF19cpT6857d9+3ZiY2OJjY1l5cqVAFx88cVMmzaNESNG0LFjx0rfNtZaV6ApdB2a0wWavDk01atVd7hycZJCjlRqS35dwpj5Y9h5bCeTLp3EkwOe1C89EZES8PHycQWUWs2h+an7c20uB1MPekKPJwAl72Rb0jYW/7qYE1knCrymum91anjXIODHgIInqwFcC02uaUJaWhppaWksSVvC57s+h9ddPVf+Af4EBAQQEBCAt7d3kTWX5ALnBY7n7I43GIL9g6kTUIfa/rUL3NcJqEPtgILbagfUpqZfzbNe8GHz5s2eYLN27VoAunXrxpNPPsmIESMq9FDLE1knOHLyCElpSSSlJXEkLd/jk0dISs/32L09KS2JrNws4PdAM6j1oAKrnOlvuxSmkCOVUnJ6Mg/EPcCstbNoW7cty0Yvo2+zvk6XJSJSaXgZL0JrhBJaI5ReTXqdst9aS1Ja0ikhaOP2jTRs2LBE73HixAkO7D/Avn372L9tP79l/AZA7dq1CW0USqNGjQhpEIK3z++hxxR51YvTO5tekJzcHJIzkjmadpQtR7ZwNP0oSWlJpGenn/Y1XsaL2v61Tw1A+cJRLf9apB5OZe23a0mIS2Dbum2QBpf2uJRnn32Wa6+9tlwthW6t5WTWyVMDSlHBxf04b39eWClKoG+gp03qBtQlrH6Y53GjGo3oHtpdgUZKTCFHKp3Pt33O2Plj2Zeyj/v73M/j/R4nwDeg+BeKiEiZMcZQN7AudQPr0j20u2d7fHx8qYYK5ubm8sMPP3iGtiW8l8DGzI34+fkRERHBoEGDiI6OpkuXLhd8wn1aVhpH049yNO2o58N9XgDK25b3PCktiV+O/kJSWhLH0grNezLAIPcN+NHnR3Z77WbOF3MK9A7V8f+916hwz1GdgDoE+wXj7VV0b1d+1lrSstPO3LNymtBSeKhifgE+Aa5wEliXOgF1aF+vPXUD6hYIMJ7H7mNq+9fW32opUwo5UmkcTTvKvV/ey9uJbxNWP4yPrv+IS5tc6nRZIiJSBry8vOjRowc9evTgoYce4sSJEyxbtowvv/ySuLg4HnzwQR588EHq169PVFSUJ/Q0btz4vNcW4BtAgG8AjWo0OuNxubm5rFq1yjMULWlnEl4BXvTq14vLhlxG195dMQGmyHB0NP0o249tZ83+NRxNO3rKUMD88obVFR5Kt+/APrx2eBUIMBk5Gac9j7+Pf4FA0q5eO+r4FwwnhUNLnYA6CitSLijkSKUwb/M8JiyYwKETh5gaOZVHL3sUPx+tzCMiUllVr16dIUOGMGSI68Kp+/btY/HixXz55ZcsXryY999/H4CwsDCio6OJjo7m8ssvJyjowq6ulZOTQ0JCArGxsXz88cfs3bsXX19foqKiePTRRxk2bBj16tU76/Nm5mSeGoSK6kly3+9K3kVmeibNgprRpk4bLm18aZE9KvlDi8KKVGQKOVKh/XbyNyZ9Pon/rPsPnUM6s+CmBQWGRYiISNXQqFEjRo4cyciRI7HWsm7dOk8vz2uvvcZLL72Er68vffr08fTydO/e/bSLGJyLrKws4uPjiY2N5ZNPPuHQoUP4+/szePBgnnnmGa666ipq1ap1Tu9RzbsaIUEhhASFlPg1pR0qKFIRKeRIhfXRxo+YuGgiR9OO8ni/x3ko4iGqeVdzuiwREXGYMYbOnTvTuXNn7rvvPtLT00lISPCEnqlTpzJ16lTq1KnDwIEDPaGnefMilpEroYyMDBYvXkxsbCxz584lKSmJ6tWrM3ToUK677jqGDh16wXuRRKoyhRypcA6mHuSuz+7io40f0SO0B4tvXUynkE5OlyUiIuWUv78/UVFRREVFAXDw4EGWLFniCT3/+9//AGjbtq1naFv//v2pWbPmGc+blpbG559/TmxsLPPnz+f48ePUrFmTYcOGMWLECAYPHkxAgIZ8iThBIUcqDGst769/n7s/u5uUzBSeGvAU9/e9Hx8v/TMWEZGSCwkJ4aabbuKmm27CWsumTZs8geett97i1Vdfxdvbm169enl6eXr27ImPjw+pqaksXLiQ2NhYFi1axIkTJ6hTpw7XXXcdI0aMYODAgfj5aU6oiNP06VAqhP0p+5mwcALzNs+jV5NevDnsTTrU7+B0WSIiUsEZYwgLCyMsLIzJkyeTkZHBihUrPKHnscce469//SvBwcF07tyZ77//nvT0dBo0aMAtt9zCddddx+WXX46vr6/TP4qI5KOQI+WatZY5P87hni/uIT07neein2Nyr8klWv9fRETkbPn5+dGvXz/69evHU089xZEjR1iyZAlxcXGsXbuWsWPHct1119G3b9/zsmiBiJQNhRwpt3Yn72b8gvF8tu0zIptF8sawN2hTt43TZYmISBVSt25d/vCHP/CHP/zB6VJE5Cwo5Ei5Y63l9bWvM+XLKeTYHF4e8jITL5mIl7mwV7AWERERkYpJIUfKlR3HdjBm3hiWbF/CgJYDmB0zm1a1WzldloiIiIhUIAo5Ui7k2lw+2fsJb3z7Bl7Gi5lXzmRcj3EYY5wuTUREREQqGIUcKReeXf4sL297mcGtBzMrZhbNgps5XZKIiIiIVFAKOeK4TYc3MS1+GpfVu4zPbv5MvTciIiIick40k1sclZObw+3zbieoWhCT2kxSwBERERGRc6aeHHHUS6teYuWelfz7mn9TJ6mO0+WIiIiISCWgnhxxzNYjW5n61VRi2sZwU6ebnC5HRERERCoJhRxxRK7NZcz8Mfh5+zHjyhkapiYiIiIiZabYkGOMaWqM+doYs8kYs8EYM8m9vY4xJs4Ys9V9X9u93RhjXjbGbDPG/GSM6X6+fwipeGZ8P4Nvdn7DPwf/k8Y1GztdjoiIiIhUIiXpyckGplhrOwC9gInGmDDgIWCJtbYNsMT9HOAKoI37Ng6YUeZVS4W2/eh2Hlz8IINbD+a2rrc5XY6IiIiIVDLFhhxr7X5r7Vr34xRgE9AYGA7McR82B7ja/Xg48I51WQnUMsaElnnlUiFZaxk7fyxexotZMbM0TE1EREREypyx1pb8YGNaAN8AHYFd1tpa+fYdtdbWNsYsAJ6x1ia4ty8BHrTWri50rnG4enoICQnp8cEHH5zjj1J2UlNTCQoKcrqMSmnB/gU8v+V57mlzD8MaDSuwT+3uHLW9c9T2zlC7O0dt7xy1vXPU9mWjf//+a6y14SU5tsRLSBtjgoBYYLK19vgZvoEvascpScpaOwuYBRAeHm779etX0lLOu/j4eMpTPZXF7uTdzFoxi/4t+vPcjc/hZQp2JKrdnaO2d47a3hlqd+eo7Z2jtneO2v7CK9HqasYYX1wB5z1r7cfuzQfzhqG57w+5t+8BmuZ7eRNgX9mUKxWVtZbxC8aTY3N4fdjrpwQcEREREZGyUpLV1QzwBrDJWvtCvl3zgFHux6OAufm2j3SvstYLSLbW7i/DmqUCevend/ls22c8PfBpWtVu5XQ5IiIiIlKJlWS4Wl/gVmCdMSbRve0R4Bngv8aYO4BdwPXufYuAocA24CQwukwrlgpnf8p+Jn0+ib5N+3LXJXc5XY6IiIiIVHLFhhz3AgKnm4AzsIjjLTDxHOuSSsJay50L7yQ9O503h7+pYWoiIiIict6VeOEBkdL4cMOHzN08l2ejn6Vt3bZOlyMiIiIiVYC+Vpfz5vCJw/z5sz9zSeNLuKfXPU6XIyIiIiJVhEKOnDd3fXYXxzOO8+awN/H28na6HBERERGpIjRcTc6Ljzd9zH83/Je/9/87Fze42OlyRERERKQKUU+OlLkjJ4/wp4V/olvDbjzQ9wGnyxERERGRKkY9OVLm7vniHo6kHeGLW77A19vX6XJEREREpIpRT46UqYVbFvLuT+/ySMQjdGnYxelyRERERKQKUsiRMnMs/RjjFoyjY4OOTL1sqtPliIiIiEgVpeFqUmbu+/I+DqQeYO4f51LNu5rT5YiIiIhIFaWeHCkTX/7yJW/88Ab397mf8EbhTpcjIiIiIlWYQo6cs5SMFMbOH0u7uu14rN9jTpcjIiIiIlWchqvJOXtw8YPsTt5Nwu0J+Pv4O12OiIiIiFRx6smRcxK/I54Zq2cwuddk+jTt43Q5IiIiIiIKOVJ6JzJPcMe8O2hduzV/H/B3p8sREREREQE0XE3OwV+++gu/Hv2V+FHxBPoGOl2OiIiIiAignhwppeW7lvPSqpf4U/ifuLzF5U6XIyIiIiLioZAjZy0tK43b591Os+BmTI+e7nQ5IiIiIiIFaLianLXH4h9jy5EtxN0aR1C1IKfLEREREREpQD05cla+3/s9z614jjHdxhDVKsrpckRERERETqGQIyWWkZ3B6LmjCQ0K5blBzzldjoiIiIhIkTRcTUrsyWVPsuHwBhbetJBg/2CnyxERERERKZJ6cqREEg8k8nTC04zsMpKhbYY6XY6IiIiIyGkp5EixsnKyGD13NPUC6/HPwf90uhwRERERkTPScDUp1vTl00k8kMgnN3xCnYA6TpcjIiIiInJG6smRM9pwaANPLH2CGy6+gavbX+10OSIiIiIixSo25Bhj3jTGHDLGrM+3rasxZqUxJtEYs9oYc4l7uzHGvGyM2WaM+ckY0/18Fi/nV3ZuNqPnjibYP5h/XfEvp8sRERERESmRkvTkvA0MKbTtH8Dj1tquwDT3c4ArgDbu2zhgRtmUKU54YcULfL/ve1654hXqV6/vdDkiIiIiIiVSbMix1n4DJBXeDNR0Pw4G9rkfDwfesS4rgVrGmNCyKlYunM2/bWba19O4pv01/OHiPzhdjoiIiIhIiRlrbfEHGdMCWGCt7eh+3gH4AjC4glIfa+1OY8wC4BlrbYL7uCXAg9ba1UWccxyu3h5CQkJ6fPDBB2XyA5WF1NRUgoKCnC7DMTk2h0mJk9h1chdv93ybOtUuzGIDVb3dnaS2d47a3hlqd+eo7Z2jtneO2r5s9O/ff421Nrwkx5Z2dbU7gXustbHGmD8AbwBRuEJPYUWmKGvtLGAWQHh4uO3Xr18pSyl78fHxlKd6LrSXVr7EhuMbeOfqd7i2y7UX7H2rers7SW3vHLW9M9TuzlHbO0dt7xy1/YVX2tXVRgEfux//D7jE/XgP0DTfcU34fSibVAC/JP3Cw0seZmibodzS+RanyxEREREROWulDTn7gMvdjwcAW92P5wEj3aus9QKSrbX7z7FGuUBybS5j5o/B19uX1656DWOK6pgTERERESnfih2uZox5H+gH1DPG7AH+CowFXjLG+ADpuOfWAIuAocA24CQw+jzULOfJa6tfI35HPLNjZtOkZhOnyxERERERKZViQ4619sbT7OpRxLEWmHiuRcmFt/PYTh5Y/ABRraK4o9sdTpcjIiIiIlJqpR2uJpWItZax88dirWV2zGwNUxMRERGRCq20q6tJJfJW4lvE/RrHq0NfpUWtFk6XIyIiIiJyTtSTU8XtPb6Xe7+4l8ubX86E8AlOlyMiIiIics4Ucqoway0TFk4gMyeT14e9jpfRPwcRERERqfg0XK0Ke2/deyzYsoAXBr3ARXUucrocEREREZEyoa/uq6gDqQe4+7O76d2kN3dferfT5YiIiIiIlBmFnCrIWsvERRM5mXWSN4e/ibeXt9MliYiIiIiUGQ1Xq4I+2vgRH2/6mGcGPkP7eu2dLkdEREREpEypJ6eKOXziMBMXTSS8UThT+kxxuhwRERERkTKnnpwqZtLnkziWfoyvhn+Fj5f+84uIiIhI5aOenCpk7s9zeX/9+zx62aN0bNDR6XJERERERM4LhZwqIiktiQkLJ9AlpAsPRTzkdDkiIiIiIueNxitVEfd+cS+HTxxm0U2L8PX2dbocEREREZHzRj05VcBnWz9jzo9zeCjiIbqFdnO6HBERERGR80ohp5JLTk9m3IJxhNUP49HLHnW6HBERERGR807D1Sq5++PuZ1/KPmL/EIufj5/T5YiIiIiInHfqyanEFv+6mNlrZzOl9xQuaXyJ0+WIiIiIiFwQCjmVVGpmKmPnj6Vt3bY83u9xp8sREREREblgNFytknp48cPsPLaTZaOXEeAb4HQ5IiIiIiIXjHpyKqFvdn7DK9+/wp8v+TN9m/V1uhwRERERkQtKIaeSOZl1kjvm3UHLWi15auBTTpcjIiIiInLBabhaJfPoV4+yLWkbX438iurVqjtdjoiIiIjIBaeenEpk5Z6V/HPlP5nQYwL9W/Z3uhwREREREUco5FQSaVlp3PbpbTSp2YTp0dOdLkdERERExDEarlZJPLLkETYf2UzcrXHU9KvpdDkiIiIiIo4ptifHGPOmMeaQMWZ9oe1/NsZsNsZsMMb8I9/2h40x29z7Bp+PoqWg+B3xvLjqRSb2nEhUqyinyxERERERcVRJenLeBl4B3snbYIzpDwwHOltrM4wxDdzbw4A/AhcDjYDFxpi21tqcsi5cXFIyUrjt09u4qM5FTI/SMDURERERkWJ7cqy13wBJhTbfCTxjrc1wH3PIvX048IG1NsNaux3YBlxShvVKIfd+cS+7j+9mztVztJqaiIiIiAhgrLXFH2RMC2CBtbaj+3kiMBcYAqQD91lrvzfGvAKstNb+233cG8Bn1tqPijjnOGAcQEhISI8PPvigTH6gspCamkpQUJDTZRRr5ZGVPLz+YW5seiPjWo1zupxzVlHavTJS2ztHbe8Mtbtz1PbOUds7R21fNvr377/GWhtekmNLu/CAD1Ab6AX0BP5rjGkFmCKOLTJFWWtnAbMAwsPDbb9+/UpZStmLj4+nPNVTlKS0JG76v5vo2KAjb418Cz8fP6dLOmcVod0rK7W9c9T2zlC7O0dt7xy1vXPU9hdeaUPOHuBj6+oG+s4YkwvUc29vmu+4JsC+cytRinLXors4fPIwC29aWCkCjoiIiIhIWSntdXI+BQYAGGPaAtWA34B5wB+NMX7GmJZAG+C7sihUfve/Df/j/fXvM+2yaXQL7eZ0OSIiIiIi5UqxPTnGmPeBfkA9Y8we4K/Am8Cb7mWlM4FR7l6dDcaY/wIbgWxgolZWK1sHUg9w58I76dmoJw9HPux0OSIiIiIi5U6xIcdae+Npdt1ymuOfBJ48l6KkaNZaxs0fR2pmKnOunoOPl67lKiIiIiJSmD4lVyBzfpzD/C3zeWHQC3So38HpckREREREyqXSzsmRC2xX8i4mfT6Jy5pfxqRek5wuR0RERESk3FLIqQBybS6j544m1+by9vC38TL6zyYiIiIicjoarlYB/N/3/8dX279i1lWzaFm7pdPliIiIiIiUa+oSKOe2HtnKA3EPcMVFVzCm+xinyxERERERKfcUcsqxnNwcRn06Cn8ff14f9jrGGKdLEhEREREp9zRcrRx77tvnWLFnBe9d+x6NajRyuhwRERERkQpBPTnl1LqD65gWP43rwq7jxo6nu1SRiIiIiIgUppBTDmXmZDLy05HU8q/F/w39Pw1TExERERE5CxquVg79benfSDyQyNw/zqV+9fpOlyMiIiIiUqGoJ6ec+W7vdzyd8DSjuoxiWLthTpcjIiIiIlLhKOSUI2lZaYz8ZCSNajTipSEvOV2OiIiIiEiFpOFq5cgjSx5h85HNxN0aR7B/sNPliIiIiIhUSOrJKSfid8Tz4qoXmdhzIlGtopwuR0RERESkwlLIKQdSMlIYPXc0F9W5iOlR050uR0RERESkQtNwtXJgypdT2JW8i2Wjl1G9WnWnyxERERERqdDUk+OwRVsXMXvtbO7rfR99mvZxuhwRERERkQpPIcdBSWlJjJk3ho4NOvJE/yecLkdEREREpFLQcDUH3bXoLg6fPMzCmxbi5+PndDkiIiIiIpWCenIc8r8N/+P99e8z7bJpdAvt5nQ5IiIiIiKVhkKOAw6kHuDOhXfSs1FPHo582OlyREREREQqFYWcC8xay/gF40nNTGXO1XPw8dKIQRERERGRsqRP2BfYnB/nMG/zPF4Y9AId6ndwuhwRERERkUpHPTkX0K7kXUz6fBKXNb+MSb0mOV2OiIiIiEilpJBzgeTaXG6fezs5uTm8PfxtvIyaXkRERETkfCj2k7Yx5k1jzCFjzPoi9t1njLHGmHru58YY87IxZpsx5idjTPfzUXRFNOP7GSzZvoQXBr9Ay9otnS5HRERERKTSKkl3wtvAkMIbjTFNgWhgV77NVwBt3LdxwIxzL7Hi23pkK/fH3c+Qi4YwtvtYp8sREREREanUig051tpvgKQidv0TeACw+bYNB96xLiuBWsaY0DKptILKyc1h1Kej8PPx4/WY1zHGOF2SiIiIiEilVqqJIcaYYcBea+2PhXY1Bnbne77Hva3Keu7b51ixZwWvDn2VxjWrdFOIiIiIiFwQxlpb/EHGtAAWWGs7GmMCga+BQdbaZGPMDiDcWvubMWYh8LS1NsH9uiXAA9baNUWccxyuIW2EhIT0+OCDD8roRzp3qampBAUFnfN5fk39lQlrJ9C7bm8eC3tMvTjFKKt2l7OntneO2t4ZanfnqO2do7Z3jtq+bPTv33+NtTa8JMeW5jo5rYGWwI/uD+1NgLXGmEtw9dw0zXdsE2BfUSex1s4CZgGEh4fbfv36laKU8yM+Pp5zrSczJ5N7Xr+H2oG1+ei2j6hfvX7ZFFeJlUW7S+mo7Z2jtneG2t05anvnqO2do7a/8M465Fhr1wEN8p4X6smZB9xljPkAuBRIttbuL6tiK5K/Lf0biQcSmfvHuQo4IiIiUqVlZWWxZ88e0tPTnS7FEcHBwWzatMnpMioMf39/mjRpgq+vb6nPUWzIMca8D/QD6hlj9gB/tda+cZrDFwFDgW3ASWB0qSurwL7b+x1PJzzNqC6jGNZumNPliIiIiDhqz5491KhRgxYtWlTJ4fspKSnUqFHD6TIqBGstR44cYc+ePbRsWfrLrhQbcqy1Nxazv0W+xxaYWOpqKoG0rDRGfTqKRjUa8dKQl5wuR0RERMRx6enpVTbgyNkxxlC3bl0OHz58TucpzZwcOYOpX03l599+Ju7WOIL9g50uR0RERKRcUMCRkiqLfyulWkJairZ0x1JeXPkiE3tOJKpVlNPliIiIiIhUSQo5ZSQlI4Xb5t5G6zqtmR413elyRERERCQfb29vunbtSseOHYmJieHYsWOlPleLFi347bffTtn+5ptv0qlTJzp37kzHjh2ZO3cuAO+99x779hW54HCx3n77be66665ij6lfvz5du3YlLCyM2bNnF3nc6tWrufvuu0tVR0WjkFNGpnw5hV3Ju5hz9RyqV6vudDkiIiIikk9AQACJiYmsX7+eOnXq8Oqrr5bp+ffs2cOTTz5JQkICP/30EytXrqRz587AuYWckrrhhhtITEwkPj6eRx55hIMHDxbYn52dTXh4OC+//PJ5raO80JycMvDZ1s+YvXY2D/R5gD5N+zhdjoiIiEi5NXnyZBITE8v0nF27duXFF18s8fG9e/fmp59+8jx/9tln+e9//0tGRgbXXHMNjz/+OABXX301u3fvJj09nf9v796jqqzzPY6/v5E3hNTCzLJlZE1aXBsfQrIAABQHSURBVJUa7CJeBrA0mo56HKvxulJn5qDZaRpdOemUznJGp6MujXQcNRsTW5aaZkYojkfTk2h4RzE0U0vT1GA0EfydPyDyslFE4lH257WWC/azn/08H7/sxea7f7/fswcPHkz//v3LPOahQ4cIDg4u/dDPoKAggoKCmDdvHp999hlPP/00derUYc2aNXzyySe88MILFBYWcv/995OSkkKtWrVYt24dgwcP5t///je1atVi2bJl55zjgw8+YNSoUSxatIiQkBCfOW6++WaaNWvGF198QUpKCgcOHGDPnj2EhITQv39/xo0bx+LFi8nPzyc5OZnMzEzMjBEjRtClSxfS0tIYMWIEp06dolmzZsyYMeOa/CBTjeRcoW9Pfku/9/txX8P7eKXdK17HEREREZGLKCoqYtmyZSQlFX/MR1paGjk5OXz66adkZWWxfv16Vq5cCRRPP1u/fj2ZmZlMnDiRI0eOlHncyMhIGjVqRGhoKH369GHRokUAdO3alejoaGbPnk1WVhZmRu/evZk7dy6bN2+msLCQlJQUCgoK6N69OxMmTGDjxo2kp6dTp06d0uPPnz+fMWPGsGTJkjIbHIDc3Fxyc3O56667AFi/fj0LFy7k7bffPme/V199lXr16rF582Y2bdpE+/btOXz4MKNGjSI9PZ0NGzYQExPDa6+9VrFCe0wjOVco+cNkvjnxDR889QG1rq/ldRwRERGRq9rljLhUppMnTxIVFcWePXto1aoV8fHxQHGTk5aWRnR0NAD5+fnk5OTQpk0bJk6cyPz58wH48ssvycnJ4aabbvJ5/ICAAJYuXcq6detYtmwZQ4YMYf369YwcOfKc/Xbs2EFoaCg/+9nPAOjVqxeTJ0+mQ4cONG7cmPvvvx+AG264ofQxGRkZZGZmkpaWds72s82dO5dVq1ZRq1YtpkyZwo033ghAUlLSOc3SD9LT00lNTS293aBBAxYvXsy2bdt46KGHACgoKKB169YXL+xVSk3OFZi3bR5vb36bV9q+QnTjaK/jiIiIiEgZfliTc/z4cTp37szkyZMZNGgQzjmGDRvGgAEDztl/xYoVpKens2bNGgIDA2nbti3ff//9Rc9hZjzwwAM88MADxMfH06dPnwuanOKPlbyQc67MSyffeeed5ObmsnPnTmJiYnzu0717dyZNmnTB9rp1fa8V93U+5xzx8fHMmTPH52OuJZquVkEH8w8ycPFAYm6NYejDQ72OIyIiIiLlUK9ePSZOnMi4ceM4ffo0iYmJTJ8+nfz8fAD279/PoUOHOH78OA0aNCAwMJDs7GzWrl170eMeOHCADRs2lN7OysqiadOmQPH6nLy8PACaN2/Onj172LVrFwBvvfUWcXFxNG/enAMHDrBu3ToA8vLyKCwsBKBp06a899579OzZk61bt1ZKHRISEs5pio4ePUpsbCyrV68uzXbixAl27txZKeerampyKsA5R//F/ckvyGfWL2dRI6CG15FEREREpJyio6OJjIwkNTWVhIQEnnrqKVq3bk14eDhdu3YlLy+Pjh07UlhYSEREBH/84x+JjY296DFPnz7NCy+8QPPmzYmKimLu3LlMmDABgKeffpqBAwcSFRWFc44ZM2bQrVs3wsPDue666xg4cCA1a9Zk7ty5JCcnExkZSXx8/DkjR/fccw+zZ8+mW7dufP7551dcg+HDh3P06FHCwsKIjIwkIyODhg0bMnPmTHr06EFERASxsbFkZ2df8bm8YGUNmVWlmJgYl5mZ6XWMUitWrKBt27Zl3v9m1pv0XtibvyX8jedbP191waq5S9VdfjqqvXdUe2+o7t5R7b3jZe23b99OixYtPDn31SAvL4/g4GCvY1xTfD1nzGy9c873fL3zaCTnMu09vpdBSwfRpmkbnot9zus4IiIiIiJyHjU5l+GMO0O/9/tRdKaImU/M5DpT+URERERErja6utplSFmXQnpuOlM6TyG0QajXcURERERExAcNRZRTzpEcXkx/kY53deTZls96HUdERERERMqgJqccis4U0Xthb2oG1GTa49PKvIa5iIiIiIh4T9PVymHcJ+P45MtPmP0fs7nthtu8jiMiIiIiIhehkZxL2HxwMy+veJkuLbrQI6yH13FEREREpAICAgKIiooiLCyMbt26ceLEiQofa8WKFXTu3BmA999/nzFjxpS577Fjx/j73/9+2ecYOXIk48aNu2D7jh07aNu2LVFRUbRo0YL+/fsDxR8+umTJkss+zw+CgoIuuU95a/jYY49x7NixCmepDGpyLqKgqICeC3pSv3Z9UjqlaJqaiIiIyDWqTp06ZGVlsWXLFmrWrMkbb7xxzv3OOc6cOXPZx01KSmLo0KFl3n/s2DGmTZt22ccty6BBgxgyZAhZWVls376d5ORk4MqbnPIobw2XLFlC/fr1f9Isl6LpahcxauUosr7OYkH3BTSs29DrOCIiIiLXvOeWPkfW11mVesyoW6IY33F8ufd/5JFH2LRpE3v27OHRRx+lXbt2rFmzhgULFrBjxw5GjBjBqVOnaNasGTNmzCAoKIilS5fy3HPPERISQsuWLUuPNXPmTDIzM5k0aRIHDx5k4MCB5ObmApCSksLEiRPZvXs3UVFRxMfHM3bsWMaOHcs777zDqVOnePLJJ/nTn/4EwOjRo5k1axa33347DRs2pFWrVhdk/+qrr2jSpEnp7fDwcAoKCnj55Zc5efIkq1atYtiwYcTHx9O3b19yc3MJDAxk6tSpREREkJ+fT3JyMpmZmZgZI0aMoEuXLqXHO3z4MI8//jjDhw+nU6dOFaphXFwcmZmZhISEMGvWLMaNG4eZERERwVtvvcU333zDwIED2bt3LwDjx4/noYceKvfPrzzU5JRh3f51/Pl//0yvyF480fwJr+OIiIiISCUoLCzkww8/pGPHjkDx9K8ZM2bw+uuvc/jwYUaNGkV6ejp169blL3/5C6+99hovvvgizz77LMuXL+euu+6ie/fuPo89aNAg4uLimD9/PkVFReTn5zNmzBg2bdpEVlZxY5eWlkZOTg6ffvopzjmSkpJYuXIldevWJTU1lc8++4zCwkJatmzps8kZMmQI7du358EHHyQhIYE+ffpQv359XnnlldJmCyA5OZno6GgWLFjA8uXL6dmzJ1lZWbz66qvUq1ePzZs3A3D06NHSYx88eJCkpCRGjRpFfHx8hWp4tq1btzJ69GhWr15NSEgI3377LQCDBw9myJAhPPzww+zdu5fExES2b99erp9feanJ8eFU0Sl+s+A3NA5ufFnvCoiIiIjIxXn1t9XJkyeJiooCikch+vXrx4EDB2jatCmxsbEArF27lm3btpWOKhQUFNC6dWuys7MJDQ3l7rvvBuCZZ55h6tSpF5xj+fLlzJo1Cyhev1KvXr1zmggobnLS0tKIjo4GID8/n5ycHPLy8njyyScJDAwEiqfB+dKnTx8SExNZunQpCxcuZMqUKWzcuPGC/VatWsW7774LQPv27Tly5AjHjx8nPT2d1NTU0v0aNGgAwOnTp+nQoQOTJ08mLi6uwjU8vx5du3YlJCQEgBtvvBGA9PR0tm3bVrrfd999R15eHsHBwT7PWxFqcnyYtnsa2Yez+fjXH1O/trfzCUVERETkyv2wnuR8devWLf3eOUd8fDxz5sw5Z5+srKxKW5vtnGPYsGEMGDDgnO3jx48v9zluvfVW+vbtS9++fQkLC2PLli0+z3M+M8M55/M8119/Pa1ateKjjz4qs8kpTw3Pz+DrXGfOnGHNmjXUqVPH5+Mqgy48cJ5/7fkX7+5/l9/G/JZf3PkLr+OIiIiISBWJjY1l9erV7Nq1C4ATJ06wc+dOmjdvzu7du/n8888BLmiCftChQwdSUlIAKCoq4rvvviM4OJj8/PzSfRITE5k+fXrptv3793Po0CHatGnD/PnzOXnyJHl5eSxatMjnOZYuXcrp06cB+Prrrzly5Ai33XYbwcHB5OXlle7Xpk0bZs+eDRRfDS4kJIQbbriBhISE0ilt8ON0NTNj+vTpZGdnX/RqcZejQ4cOvPPOOxw5cgSgdLra+Rl8NU5XSk3OWfJO5dF7YW8a127MX+P/6nUcEREREalCDRs2ZObMmfTo0YOIiAhiY2PJzs6mdu3aTJ06lU6dOvHwww/TtGlTn4+fMGECGRkZhIeH06pVK7Zu3cpNN93Ez3/+c8LCwvj9739PQkICTz31FK1btyY8PJyuXbuSl5dHy5Yt6d69O1FRUXTp0oVHHnnE5znS0tIICwsjMjKSxMRExo4dyy233EK7du3Ytm0bUVFRzJ07l5EjR5KZmUlERARDhw7lzTffBGD48OEcPXq09BgZGRmlxw4ICCA1NZWMjIwL1tdUxH333cdLL71EXFwckZGRPP/88wBMnDixNNu99957wVXaKoP5GsqqajExMS4zM9PrGBw5cYQBiwcQVyuO5CeSvY7jd1asWEHbtm29juGXVHvvqPbeUN29o9p7x8vab9++nRYtWnhy7qtBZa838Qe+njNmtt45F1Oex19yJMfMppvZITPbcta2sWaWbWabzGy+mdU/675hZrbLzHaYWeJl/F88d1PgTcz7z3mE1wv3OoqIiIiIiFRQeaarzQQ6nrftYyDMORcB7ASGAZjZvcCvgPtKHvO6mQVUWloREREREZFLuGST45xbCXx73rY051xhyc21wA+fSPQEkOqcO+Wc2w3sAh6oxLwiIiIicg26GpZIyLWhMp4r5VqTY2Z3AIudc2E+7lsEzHXO/dPMJgFrnXP/LLnvH8CHzrl5Ph7XH+gP0KhRo1ZnX6/ba/n5+QQFBXkdw++o7t5R7b2j2ntDdfeOau8dL2sfFBREo0aNqFevXqVdivlaUlRURECAJjeVh3OO48ePc/DgwXOuSgfQrl27cq/JuaLPyTGzl4BCYPYPm3xl9fVY59xUYCoUX3jgalqEqEWR3lDdvaPae0e194bq7h3V3jte1v706dPs27eP/fv3e3J+r33//ffUrl3b6xjXjNq1axMZGUmNGjUqfIwKNzlm1gvoDHRwPw4H7QNuP2u3JsCBCqcTERERkWtejRo1CA0N9TqGZ1asWEF0dLTXMfxKhT4nx8w6An8AkpxzJ866633gV2ZWy8xCgbuBT688poiIiIiISPlcciTHzOYAbYEQM9sHjKD4amq1gI9L5lWudc4NdM5tNbN3gG0UT2P7nXOu6KcKLyIiIiIicr5LNjnOuR4+Nv/jIvuPBkZfSSgREREREZGKKtfV1X7yEGbfAF94neMsIcBhr0P4IdXdO6q9d1R7b6ju3lHtvaPae0e1rxxNnXMNy7PjVdHkXG3MLLO8l6eTyqO6e0e1945q7w3V3TuqvXdUe++o9lWvQhceEBERERERuVqpyRERERERkWpFTY5vU70O4KdUd++o9t5R7b2huntHtfeOau8d1b6KaU2OiIiIiIhUKxrJERERERGRakVNjoiIiIiIVCtqcs5iZh3NbIeZ7TKzoV7n8RdmdruZZZjZdjPbamaDvc7kT8wswMw+M7PFXmfxJ2ZW38zmmVl2yXO/tdeZ/IWZDSn5XbPFzOaYWW2vM1VXZjbdzA6Z2Zaztt1oZh+bWU7J1wZeZqyuyqj92JLfOZvMbL6Z1fcyY3Xkq+5n3feCmTkzC/Eim79Rk1PCzAKAycCjwL1ADzO719tUfqMQ+G/nXAsgFvidal+lBgPbvQ7hhyYAS51zzYFI9DOoEmZ2GzAIiHHOhQEBwK+8TVWtzQQ6nrdtKLDMOXc3sKzktlS+mVxY+4+BMOdcBLATGFbVofzATC6sO2Z2OxAP7K3qQP5KTc6PHgB2OedynXMFQCrwhMeZ/IJz7ivn3IaS7/Mo/mPvNm9T+QczawJ0AqZ5ncWfmNkNQBvgHwDOuQLn3DFvU/mV64E6ZnY9EAgc8DhPteWcWwl8e97mJ4A3S75/E/hllYbyE75q75xLc84VltxcCzSp8mDVXBnPeYD/AV4EdMWvKqIm50e3AV+edXsf+kO7ypnZHUA08H/eJvEb4yn+pXvG6yB+5k7gG2BGyVTBaWZW1+tQ/sA5tx8YR/G7qV8Bx51zad6m8juNnHNfQfGbXMDNHufxV32BD70O4Q/MLAnY75zb6HUWf6Im50fmY5u67SpkZkHAu8BzzrnvvM5T3ZlZZ+CQc26911n80PVASyDFORcN/BtN2akSJes/ngBCgVuBumb2jLepRKqWmb1E8VTx2V5nqe7MLBB4CXjZ6yz+Rk3Oj/YBt591uwmawlBlzKwGxQ3ObOfce17n8RMPAUlmtofi6Zntzeyf3kbyG/uAfc65H0Ys51Hc9MhP7xfAbufcN86508B7wIMeZ/I3B82sMUDJ10Me5/ErZtYL6Aw87fRhiVWhGcVvqmwseb1tAmwws1s8TeUH1OT8aB1wt5mFmllNiheivu9xJr9gZkbx2oTtzrnXvM7jL5xzw5xzTZxzd1D8fF/unNM72lXAOfc18KWZ3VOyqQOwzcNI/mQvEGtmgSW/ezqgiz5UtfeBXiXf9wIWepjFr5hZR+APQJJz7oTXefyBc26zc+5m59wdJa+3+4CWJa8D8hNSk1OiZCHefwEfUfyC945zbqu3qfzGQ8CvKR5JyCr595jXoUR+YsnAbDPbBEQBf/Y4j18oGT2bB2wANlP8OjjV01DVmJnNAdYA95jZPjPrB4wB4s0sh+KrTY3xMmN1VUbtJwHBwMclr7VveBqyGiqj7uIB00iliIiIiIhUJxrJERERERGRakVNjoiIiIiIVCtqckREREREpFpRkyMiIiIiItWKmhwREREREalW1OSIiIiIiEi1oiZHRERERESqlf8HzVDfM9zMRw0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.3827e-04\n",
      "Epoch 2/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.7671e-04\n",
      "Epoch 3/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.0735e-04\n",
      "Epoch 4/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.0496e-04\n",
      "Epoch 5/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.7643e-04\n",
      "Epoch 6/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.1349e-04\n",
      "Epoch 7/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.2250e-04\n",
      "Epoch 8/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.4937e-04\n",
      "Epoch 9/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.8329e-04\n",
      "Epoch 10/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.6470e-04\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/10\n",
      "1975/1975 [==============================] - 9s 4ms/step - loss: 6.7506e-04\n",
      "Epoch 2/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.0735e-04\n",
      "Epoch 3/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.5127e-04\n",
      "Epoch 4/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.9235e-04\n",
      "Epoch 5/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.1908e-04\n",
      "Epoch 6/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.4352e-04\n",
      "Epoch 7/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.7711e-04\n",
      "Epoch 8/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.1373e-04\n",
      "Epoch 9/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.5255e-04\n",
      "Epoch 10/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.2744e-04\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.5333e-04\n",
      "Epoch 2/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.7464e-04\n",
      "Epoch 3/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.1323e-04\n",
      "Epoch 4/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.4549e-04\n",
      "Epoch 5/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.5227e-04\n",
      "Epoch 6/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.5305e-04\n",
      "Epoch 7/10\n",
      "1975/1975 [==============================] - 9s 4ms/step - loss: 6.1764e-04\n",
      "Epoch 8/10\n",
      "1975/1975 [==============================] - 9s 4ms/step - loss: 6.3736e-04\n",
      "Epoch 9/10\n",
      "1975/1975 [==============================] - 9s 4ms/step - loss: 6.1903e-04\n",
      "Epoch 10/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.8713e-04\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.2719e-04\n",
      "Epoch 2/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.1111e-04\n",
      "Epoch 3/10\n",
      "1975/1975 [==============================] - 9s 4ms/step - loss: 6.5655e-04\n",
      "Epoch 4/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.7798e-04\n",
      "Epoch 5/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.8840e-04\n",
      "Epoch 6/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.5252e-04\n",
      "Epoch 7/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.4494e-04\n",
      "Epoch 8/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.5287e-04\n",
      "Epoch 9/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.0558e-04\n",
      "Epoch 10/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.9460e-04\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/10\n",
      "1975/1975 [==============================] - 7s 4ms/step - loss: 6.9891e-04\n",
      "Epoch 2/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 8.1647e-04\n",
      "Epoch 3/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.6609e-04\n",
      "Epoch 4/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.8341e-04\n",
      "Epoch 5/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.1961e-04\n",
      "Epoch 6/10\n",
      "1975/1975 [==============================] - 9s 5ms/step - loss: 5.8060e-04\n",
      "Epoch 7/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.6338e-04\n",
      "Epoch 8/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.6093e-04\n",
      "Epoch 9/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.1092e-04\n",
      "Epoch 10/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.4440e-04\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.4648e-04\n",
      "Epoch 2/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.4661e-04\n",
      "Epoch 3/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 7.4867e-04\n",
      "Epoch 4/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.4064e-04\n",
      "Epoch 5/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.3335e-04\n",
      "Epoch 6/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.9812e-04\n",
      "Epoch 7/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.1374e-04\n",
      "Epoch 8/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 6.4405e-04\n",
      "Epoch 9/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.2096e-04\n",
      "Epoch 10/10\n",
      "1975/1975 [==============================] - 8s 4ms/step - loss: 5.4781e-04\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "base = 0\n",
    "\n",
    "epochs = 0\n",
    "for iepoch in range(10):\n",
    "\n",
    "    regressor.fit(X_train, y_train, epochs = 10, batch_size=32)\n",
    "\n",
    "    predicted_stock_price = regressor.predict(X_test)\n",
    "    predicted_stock_price = sc.inverse_transform(predicted_stock_price)\n",
    "\n",
    "    fig, ax = plt.subplots(figsize=(14,4))\n",
    "    ax.plot(real_stock_price, color = 'black', label = 'Real Stock Price')\n",
    "    ax.plot(predicted_stock_price, color = 'green', label = 'Predicted Stock Price')\n",
    "    ax.legend(); ax.grid()\n",
    "    modelname = '%04i'%(iepoch*10+base+10)+'epochs'\n",
    "    ax.set_title(modelname, fontsize=14)\n",
    "    fig.savefig(modelname+'.png', format='png')\n",
    "    plt.show()\n",
    "    regressor.save(modelname+'.h5')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}