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Executive Program in Algorithmic Trading (QuantInsti)

Python Sessions by Dr. Yves J. Hilpisch | The Python Quants GmbH

Online, 07. & 08. April 2018

Short Link

http://bit.ly/epat_apr_2018

Resources

Slides & Materials

You find the introduction slides under http://hilpisch.com/epat.pdf

You find the materials about OOP under http://hilpisch.com/py4fi_oop_epat.html

Python

If you have either Miniconda or Anaconda already installed, there is no need to install anything new.

The code that follows uses Python 3.6. For example, download and install Miniconda 3.6 from https://conda.io/miniconda.html if you do not have conda already installed.

In any case, for Linux/Mac you should execute the following lines on the shell to create a new environment with the needed packages:

conda create -n epat python=3.6
source activate epat
conda install numpy pandas matplotlib statsmodels
pip install plotly cufflinks
conda install ipython jupyter
jupyter notebook

On Windows, execute the following lines on the command prompt:

conda create -n epat python=3.6
activate epat
conda install numpy pandas matplotlib statsmodels
pip install plotly cufflinks
pip install win-unicode-console
set PYTHONIOENCODING=UTF-8
conda install ipython jupyter
jupyter notebook

Read more about the management of environments under https://conda.io/docs/using/envs.html

Docker

To install Docker see https://docs.docker.com/install/

docker run -ti -p 9000:9000 -h epat -v /Users/yves/Temp/:/root/ ubuntu:latest /bin/bash

ZeroMQ

The major resource for the ZeroMQ distributed messaging package based on sockets is http://zeromq.org/

Cloud

Use this link to get a 10 USD bonus on DigitalOcean when signing up for a new account.

Books & Resources

An overview of the Python Data Model is found under: Python Data Model

Good book about everything important in Python data analysis: Python Data Science Handbook, O'Reilly

Good book covering object-oriented programming in Python: Fluent Python, O'Reilly

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"source": [
"<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# EPAT Session 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Executive Program in Algorithmic Trading**\n",
"\n",
"**_Vectorized Backtesting & Object Oriented Programming_**\n",
"\n",
"Dr. Yves J. Hilpisch | The Python Quants GmbH | http://tpq.io\n",
"\n",
"<img src=\"http://hilpisch.com/images/tpq_bootcamp.png\" width=\"350px\" align=\"left\">"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Basic Imports"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"from pylab import plt\n",
"plt.style.use('seaborn')\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Reading Financial Data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"url = 'http://hilpisch.com/tr_eikon_eod_data.csv'"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"raw = pd.read_csv(url, index_col=0, parse_dates=True)"
]
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{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"DatetimeIndex: 1972 entries, 2010-01-04 to 2017-10-31\n",
"Data columns (total 12 columns):\n",
"AAPL.O 1972 non-null float64\n",
"MSFT.O 1972 non-null float64\n",
"INTC.O 1972 non-null float64\n",
"AMZN.O 1972 non-null float64\n",
"GS.N 1972 non-null float64\n",
"SPY 1972 non-null float64\n",
".SPX 1972 non-null float64\n",
".VIX 1972 non-null float64\n",
"EUR= 1972 non-null float64\n",
"XAU= 1972 non-null float64\n",
"GDX 1972 non-null float64\n",
"GLD 1972 non-null float64\n",
"dtypes: float64(12)\n",
"memory usage: 200.3 KB\n"
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}
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"source": [
"raw.info()"
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"execution_count": 5,
"metadata": {},
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" </tr>\n",
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" <tbody>\n",
" <tr>\n",
" <th>2010-01-04</th>\n",
" <td>30.572827</td>\n",
" <td>30.950</td>\n",
" <td>20.88</td>\n",
" <td>133.90</td>\n",
" <td>173.08</td>\n",
" <td>113.33</td>\n",
" <td>1132.99</td>\n",
" <td>20.04</td>\n",
" <td>1.4411</td>\n",
" <td>1120.00</td>\n",
" <td>47.71</td>\n",
" <td>109.80</td>\n",
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" <tr>\n",
" <th>2010-01-05</th>\n",
" <td>30.625684</td>\n",
" <td>30.960</td>\n",
" <td>20.87</td>\n",
" <td>134.69</td>\n",
" <td>176.14</td>\n",
" <td>113.63</td>\n",
" <td>1136.52</td>\n",
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" <td>1.4368</td>\n",
" <td>1118.65</td>\n",
" <td>48.17</td>\n",
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" <tr>\n",
" <th>2010-01-06</th>\n",
" <td>30.138541</td>\n",
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" <td>20.80</td>\n",
" <td>132.25</td>\n",
" <td>174.26</td>\n",
" <td>113.71</td>\n",
" <td>1137.14</td>\n",
" <td>19.16</td>\n",
" <td>1.4412</td>\n",
" <td>1138.50</td>\n",
" <td>49.34</td>\n",
" <td>111.51</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-07</th>\n",
" <td>30.082827</td>\n",
" <td>30.452</td>\n",
" <td>20.60</td>\n",
" <td>130.00</td>\n",
" <td>177.67</td>\n",
" <td>114.19</td>\n",
" <td>1141.69</td>\n",
" <td>19.06</td>\n",
" <td>1.4318</td>\n",
" <td>1131.90</td>\n",
" <td>49.10</td>\n",
" <td>110.82</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-08</th>\n",
" <td>30.282827</td>\n",
" <td>30.660</td>\n",
" <td>20.83</td>\n",
" <td>133.52</td>\n",
" <td>174.31</td>\n",
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" AAPL.O MSFT.O INTC.O AMZN.O GS.N SPY .SPX .VIX \\\n",
"Date \n",
"2010-01-04 30.572827 30.950 20.88 133.90 173.08 113.33 1132.99 20.04 \n",
"2010-01-05 30.625684 30.960 20.87 134.69 176.14 113.63 1136.52 19.35 \n",
"2010-01-06 30.138541 30.770 20.80 132.25 174.26 113.71 1137.14 19.16 \n",
"2010-01-07 30.082827 30.452 20.60 130.00 177.67 114.19 1141.69 19.06 \n",
"2010-01-08 30.282827 30.660 20.83 133.52 174.31 114.57 1144.98 18.13 \n",
"\n",
" EUR= XAU= GDX GLD \n",
"Date \n",
"2010-01-04 1.4411 1120.00 47.71 109.80 \n",
"2010-01-05 1.4368 1118.65 48.17 109.70 \n",
"2010-01-06 1.4412 1138.50 49.34 111.51 \n",
"2010-01-07 1.4318 1131.90 49.10 110.82 \n",
"2010-01-08 1.4412 1136.10 49.84 111.37 "
]
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"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
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"raw.head()"
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"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
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" <th>MSFT.O</th>\n",
" <th>INTC.O</th>\n",
" <th>AMZN.O</th>\n",
" <th>GS.N</th>\n",
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" <tr>\n",
" <th>2017-10-25</th>\n",
" <td>156.41</td>\n",
" <td>78.63</td>\n",
" <td>40.78</td>\n",
" <td>972.91</td>\n",
" <td>241.71</td>\n",
" <td>255.29</td>\n",
" <td>2557.15</td>\n",
" <td>11.23</td>\n",
" <td>1.1812</td>\n",
" <td>1277.01</td>\n",
" <td>22.83</td>\n",
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" <tr>\n",
" <th>2017-10-26</th>\n",
" <td>157.41</td>\n",
" <td>78.76</td>\n",
" <td>41.35</td>\n",
" <td>972.43</td>\n",
" <td>241.72</td>\n",
" <td>255.62</td>\n",
" <td>2560.40</td>\n",
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" <td>1.1650</td>\n",
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" <td>22.43</td>\n",
" <td>120.33</td>\n",
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" <tr>\n",
" <th>2017-10-27</th>\n",
" <td>163.05</td>\n",
" <td>83.81</td>\n",
" <td>44.40</td>\n",
" <td>1100.95</td>\n",
" <td>241.71</td>\n",
" <td>257.71</td>\n",
" <td>2581.07</td>\n",
" <td>9.80</td>\n",
" <td>1.1608</td>\n",
" <td>1272.60</td>\n",
" <td>22.57</td>\n",
" <td>120.90</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-10-30</th>\n",
" <td>166.72</td>\n",
" <td>83.89</td>\n",
" <td>44.37</td>\n",
" <td>1110.85</td>\n",
" <td>240.89</td>\n",
" <td>256.75</td>\n",
" <td>2572.83</td>\n",
" <td>10.50</td>\n",
" <td>1.1649</td>\n",
" <td>1275.86</td>\n",
" <td>22.76</td>\n",
" <td>121.13</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-10-31</th>\n",
" <td>169.04</td>\n",
" <td>83.18</td>\n",
" <td>45.49</td>\n",
" <td>1105.28</td>\n",
" <td>242.48</td>\n",
" <td>257.15</td>\n",
" <td>2575.26</td>\n",
" <td>10.18</td>\n",
" <td>1.1644</td>\n",
" <td>1271.20</td>\n",
" <td>22.48</td>\n",
" <td>120.67</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O MSFT.O INTC.O AMZN.O GS.N SPY .SPX .VIX \\\n",
"Date \n",
"2017-10-25 156.41 78.63 40.78 972.91 241.71 255.29 2557.15 11.23 \n",
"2017-10-26 157.41 78.76 41.35 972.43 241.72 255.62 2560.40 11.30 \n",
"2017-10-27 163.05 83.81 44.40 1100.95 241.71 257.71 2581.07 9.80 \n",
"2017-10-30 166.72 83.89 44.37 1110.85 240.89 256.75 2572.83 10.50 \n",
"2017-10-31 169.04 83.18 45.49 1105.28 242.48 257.15 2575.26 10.18 \n",
"\n",
" EUR= XAU= GDX GLD \n",
"Date \n",
"2017-10-25 1.1812 1277.01 22.83 121.35 \n",
"2017-10-26 1.1650 1266.73 22.43 120.33 \n",
"2017-10-27 1.1608 1272.60 22.57 120.90 \n",
"2017-10-30 1.1649 1275.86 22.76 121.13 \n",
"2017-10-31 1.1644 1271.20 22.48 120.67 "
]
},
"execution_count": 6,
"metadata": {},
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"raw.tail()"
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{
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{
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10cefd7f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"raw['AAPL.O'].plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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JqIQQQghRY7Iz8/DWe5Y5auTjq3M4dvfQOhxfvnjV6ZqzJ5IxmyxYLFZ0Ond7lnUAs6mKW9fUIAmohBBCCFEjzGYLGem56H2cR6c6dm9q/5xTbC8/rdYx+HJzcw7Gzp1KJjPDto7KU+eOX0BhQFV0arCuSEAlhBBCiGqzWq38/pOK1QqGpv5O51u1C7F/Lp4iQevuGI7s33mhxO9IvZIF2AIqL+/CoK1zz8gS619LElAJIYQQotq2bzjN8cO2HFNR+ck7o1oG2c/7+OlKvA5Aq3UMR4oHXO06hQFwIv/+njp3NBoNPn6euLu7OYxW1RV5y08IIYQQ1fbnrsJRJUO4HwDD7+jE8s/30bV3FAGBhfmlRo7r6nBt8RGqAu06hdF3cGuOH4oD4MSRhPz6tinBvz7aDyvWEq+91iSgKsNnny3lm2++5OuvV6DT6XjttZfZvPl3VqxYh6enJwCqeoyHHvobCxYsRqPR8MEH79mvT0xMwN8/gFdemcO4cXfw3ntLad++AwDLl39LcnKyU9qFlJQU/vvft4mLu4zFYiE0NIynnppMcHAIQgghhCsqusUbYB8x8tS5c/eDMU71A5s4plQobQF715gofP10eOs9HcoLjksLxOqC67TEBa1fv4ahQ2/m11/X2cuCg0PYsaPwNc516362793Xo0cvFi1awqJFS3jllTloNBqeemoyYEv4OWfOLPLy8iiN1WrlxRf/yaBBN7Jo0RLeeed/3H77KKZMmYzZXPcL7oQQQojirFYr23513BqmtACpIJVC8QAJ4La7unDLXzo7lHnqbOM+et/C+uFRAXTq4Xr73ZY7QqUoynhgfP6hF9AdGAz8BzAB61RVnaUoihvwDtANyAUeVlX1ZM03+drYu3cPERFRjBkzlldeeYnbbhsJwE03DeeXX9Zyww2DsVgsHD9+jA4dOjpcazKZmD79ee699+907dqdy5cvERXVjO7de7BkyTtMnPh0id+pqkfx9fVl4MDB9rKYmL6sXLmcP//cR8+evWvteYUQQoiqWP75fuJKSHNQknsn9CE3x1TiyFKL6GDAtiXNsYO2Kb6CAKzodjRdekU6rblyBeUGVKqqLgWWAiiK8l/gQ2AxMBY4DaxWFKUn0BLwUlW1v6Io/YB5wOjqNG7bb6c4fSyhOrfATeuGpchQZOv2oVw3pPxkYKtW/cjIkWNo3rwlHh4eHD58CIAOHTqxceMGsrOzOXToAD179ubs2dMO17799pu0atWa0aP/4lD+8MOP88gjD/Dnn/tK/M7Y2FgiIqKcyiMiIomLu1xum4UQQohryWq1VjiYAttGyUU3Sy5JdIdQe0Dl4WnLT1V00XnRt/tcSYVDPEVRegOdgGWATlXVU6qqWoG1wFBgALAGQFXVHUC9HU5JS0tj+/atfPPNlzzzzFNkZmbw/fdf2c8PGHADmzdvZP36Ndx8860O165evYJTp04wefIUp/t6enoybdpM5s79F9nZznsCGgwG4uIuOZVfvHiesLBwp3IhhBCiLuXmmByObxrVgXsedl4zVRnNWgVx211d+PuT/e1Th0VHpMrKwF6XKrMofRowC/AH0oqUpwOt88uLhqlmRVHcVVV17O0igoL0uLtrSzvN6HtK3lixtq1Zs5y77rqT559/HoDs7GyGDh1K586dCQjw5p57xvLaa6+h0Wjo3r0DOp0HgYF6Ll8+wxdffMwXX3xBSEjhq6K5uT54eGgxGPwwGGIYPXoUn3/+Cffddx8Gg5+93pAhA1i8eAEHD+5myJAhAGzatIm4uEsMGzYIrbb0vipL0e9orKQPpA9A+gCkD0D6AGquDxLj0h2OrxvUpkbuGxrqnMfq+qFtOLjnIq3bGOxrq6qqNn4GKtQiRVECgfaqqm5QFMUfKNoSPyAV0BcrdysrmAJIScmqZHMrz2DwIzExvfyKRXz55VfMmPGKw3UDB97IqlXLGTlyLB06GEhISGLEiNEkJqaTm2skNTWLBQsWYTKZefLJp+zX6fV6Jk+egtFott9v7Ni/sn79r2Rm5pKYmM477/yHwYOH0rFjZ1577U3+8595LFpk2zQ5NDSMOXPmc+VK1fqqKs/f0EgfSB+A9AFIH4D0AdRsH8ReTLF/7jOwZa32bdeYKLr0juRqWna17lOd5y8rENNYreXnb1AUZRRwk6qqk/KP91NkDRW2kasoYKSqquPz11DNVFX11tLuCZCYmF7rySMa+1+exv78IH0A0gcgfQDSByB9ADXbByeOxPPLiqP0v7E13fo0K3P/PldRzYCq1Aes6JiZgi14KvAY8DmgxfaW305FUXYDwxRF2QZogH9UqbVCCCGEqBey8vfW8w/0rhfBVG2qUEClquobxY53AP2KlVmwBVpCCCGEaASys2wBld7HOa9UY+N6iRyEEEIIUS9kZRoB8JaASgIqIYQQQlRMXq6JsyeS7MdZmQUjVK6ZyuBakr38hBBCCFEhK77cT2JcBp46d+6d0IeLZ67gqXPHw1PCCekBIYQQQlRIYlwGYBup+nihbV/b1kpIXTbJZUhAVYLY2Iu8++4CEhIS8PLyQqfT8fjjk4iMjOTNN18nKSkRjUaDj48vzz03lYCAQPu1ly9fYty4O3jvvaW0b98BgOXLvyU5OZmHHnq0rh5JCCGEqBXtOoXVdRNcggRUxeTk5DB16jM8//x0OnfuCsCRI4eYP38uQ4YMo0mTYF588WUAvv76Cz766H88/fRzDvfw8fFlzpxZvP/+J3h6ykI9IYQQDVd4ZEBdN8ElyKL0YrZu3USvXjH2YAqgY8fOLFz4HuHhTdm9ewdbtmwiMzODsWPvYeLEp53uERXVjL59+7NkyTvXsulCCCFErbFarXjqHLdAe2jyALTuEkqAi49QpcSuJyv1SLXuEefmhtlisR/rAzsSFDms1PqXLl0iMrKZ/Xjq1GfIyMggOTmJ//znXR544CFWr/6R2bNn0bp1NJMnTyE62nnvoocffpxHHnmAP//cV632CyGEEK4gLjaNvFwzgU28Sb1i2/6lunvqNSQSVhYTFhbG5cux9uPXX5/PokVL8PPzJyEhnl69+jBnzjxWrlzHbbeN5LXXXi7xPp6enkybNpO5c/9FdnbONWq9EEIIUTsSLqUB0KlHJAAentqyqjc6Lh1aBkUOK3M0qSIqu2fPgAGD+OyzpRw6dJDOnbsAcPHiBRITE1ix4gdCQgxMmPAEWq2W6Oi2Za6RUpT2DBt2C59//jF33HFntZ5DCCGEqEu5OSYAQsJ8GXVvN4KC9XXcItfi0gFVXdDr9cyd+xaLFy9k8eJkzGYTWq07U6ZMo1u3Hsyf/2/Gj78Pb28vvLy8mTp1BgDvvPMfBg8eSlBQE4f7/f3v/2Dr1s118ShCCCFEjclIs822eHl70MTgU8etcT0aq9VaZ1+emJhe61/e2HcWb+zPD9IHIH0A0gcgfQDSB1D1Pvju4z9Iis/gkeduwM2t/m6EXJ2fAYPBr9QHlzVUQgghhCiXyWTBw1Nbr4Op2iQBlRBCCCHKZTKacfeQsKE00jNCCCGEsEuMS8eYZ7Yfm80WTh5NIDfHhLu7vNlXGlmULoQQQggAUpIz+XbpH3jrPbhpVEeOHbjMiSMJ9vO+/ro6bJ1rk4BKCCGEEABcPJsCQHaWkZXL/nQ6r/PyuNZNqjdkyk8IIYSoJzIzckm/WnvJomPPpZZ53stbAqrSyAhVCT79dCl79uzCzU2DRqNhwoQn+e67rzh+/Bh+fv5oNBrMZjPPPfcCe/fuZvv2bcybt8B+/Ysv/pOYmL6MGSPJPIUQQtScLxbvxGSycPOYTkS3N9TIPS0WCzlZRgDOn77icC4gyJu+g1qxbrltG7h2ncNq5DsbIgmoijlz5jRbt27i3Xc/QKPRcOKEyr/+9TLt2ik8/vgk+vW7DoDt27fyv/8t5rXX/s2WLZtYtWo5I0aM4Zdf1mIymSSYEkIIUaMSLqdhMtn2pl23/DDjHunD3m3nGDCsTZWn4jatO87hvZcA6N63GWaThZ79m9OmQyg+fjp0Xu5YrVY694ygbacwwiMDaux5GhqZ8ismKKgJ8fFxrF79I4mJCbRtq/D++x871UtPT8Pb2xuNRsO0aTNZuvQDzpw5zSeffMjUqS/VQcuFEEI0ZFt/PeVw/Nvqoxw/HM/OTWeqfM+CYApg/84LAASF+BAc6ouXtwcajQY3NzcG3txOgqlyuPQI1c8XEjl4JaNa99Bq3TCbLfbjLk18ubVZ6cOkgYGBvP76fL777is+/PB9vLy8mDDhCQDefXcBn322FK1WS0hICI8//n8AhIaG8dBDj/LYY//g5ZdnExQUVK02CyGEEMWlJmc6HCdcsmX7NuaaS6peLoul5M1KWishVbpfY+fSAVVduHjxAj4+PkybNhOAY8eO8Nxz/0enTp0dpvyKu/XWEbz77kL697/+WjZXCCFEI5CbYyQn24RfgBeBTby5cCbFfs7Ds2q5oYrmmioQ1TJIck1VkUsHVLc2M5Q5mlQRld2z59SpE/zww7fMnfsWOp2OZs2a4+vri5ub/IAJIYSoG7k5JgDCIv3pFhPlEFCZTZbSLiuTMc/kVBYS5lu1BgrXDqjqwqBBQzh79gwTJoxHr/fGYrHyxBP/x+bNv9d104QQQjRSefnTet7eHgQF6x3OpVUhjcKxA5fJK2GEKiDIu2oNFBULqBRFeQEYBXgC7wAbgaWAFTgEPKmqqkVRlJnA7YAJeFpV1V210eja9sADD/HAAw85lN1ww+Byr1uxYm0ttUgIIURjZjTagh8PTy0eno6/urOz8ip1rytJmWz4SbUfR7UMsif0lICq6sp9y09RlMHAdcD1wCCgGTAfmK6q6kBAA4xWFKVn/vm+wDjgv7XUZiGEEKJRKZieK2m9lLWUxeWluZLkuLg9PNLf/lkCqqqrSNqE4cBB4AdgJbAK6IVtlArgZ+AmYACwTlVVq6qq5wF3RVFqJuuYEEII0Yjt3nwWAA8PW0A1ftJ19vVOpb2tV5q8XMe1U62L/Kr28ZO9+qqqIlN+IUALYATQClgBuKmqWvAnmA4EAP5AcpHrCsoTa6y1QgghRCNjsVhIuGx7uUrrbhsH8dZ7ctc/evPZO9urFVANv6MTwaG+jLinKyajBY1GU3MNb2QqElAlA8dUVc0DVEVRcrBN+xXwA1KBtPzPxctLFRSkvyavZxoMfuVXasAa+/OD9AFIH4D0AUgfQP3rg4z0XPtnb29Ph/a7e2gxGS0Vfiar1cqKL22bHt95fy86dosA6l+fVFdtPG9FAqotwP8pijIfaAr4AL8qijJYVdXfgVuBDcBJ4N+KorwJRGEbxUoq68YpKVnVaXuFVDZtQkPT2J8fpA9A+gCkD0D6AOpnHyQnFia4jmoV5NB+K2AymSv8TOdPJxN7zrYAXevhVu/6oiZU52egrECs3IBKVdVViqLcAOzCtubqSeAM8L6iKJ7AUeBbVVXNiqJsBrYXqSeEEEKIKjh7Igm9r6c9ZUKv61s4LUq3mC1kZxm5cOYKwaG+6H08y7xndv4myOFR/jQx+NROwxupCqVNUFV1SgnFg0qo9zLwcvWa5Dpyc3N4883XSUpKRKPR4OPjy3PPTSUgIJA77xxJWFg4bm5uWK1W/P0DmD79ZQ4fPsiiRf9hyZKP0Om8SEpK5JlnJjJv3kIMhtC6fiQhhBD1gNFo5ufvDgEwbHRHAPR652ApLdWWg2rVVwcAePiZgezecobufZqh93VeYF6QBLRTj8haaXdjJpsjl2H16pU0aRLMW2/9l/nzF9GlS1c++uh/9vPz5y9i4cL3WLRoCVFRzVi9eiUxMf3o27cfCxe+jclk4qWXXuCppyZLMCWEEKLCUoqkNij47KX3KPe6P7ad489dF/n03R0lni/IZ+XuLr/+a5r0aBnCw5uye/cOtmzZRGZmBmPH3sPEiU871bNYLGRkpOPtbcvfMWHCk6jqUaZOfYbevfsQE9PvWjddCCFEPXYlsTCg2rP1HADeFQiosjJsC9gtZisWi/OWNAUjVO4e8uu/prn01jNf/3aS3ccSqnUPrVaD2Vz4SmlM+1DuHtKmQtded90AjMY8Vq/+kdmzZ9G6dTSTJ08hOtp2/TPPTMTNzQ2NRkNwIE6bAAAgAElEQVSHDp245ZbbAXB3d2fUqDt48805PPfctGq1XwghRMOXl2vi5NEElM7haN3diD3n/JJ8SUk3vbzdyckuTINgKrKvX1pqDskJGRzYc5GbRnYkN8dIcoJtgbtsgFzzXDqgqmuHDh2gV68+DBo0BLPZzNq1P/Haay/z4YefAbYpP53OeY46Lu4yX3zxCU88MYlXX53BggWL0Wrlh1cIIYQjq9VKckIGf+66yPHD8VxJzMRNq+H44XiHegFB3vj6ezldP+6RPixdsM1+nJJc+Pb8xjXHuXTeFph9VmwKUEaoap5LB1R3D2lT4dGk0lTn9chfflmLXu/DhAlPoNVqiY5ui6dn2W9QGI1GZsyYyqRJz9C//wBU9RgfffQ+Dz/8WJXaIIQQouHav+sCOzacth8f/CO2xHp9B7Uqsdy72EL1tNRs++eCYKokWllDVeOkR0uQlnaVadP+yYQJT5CQEM/48ffx+OMPsnjxQqZOnVHmtYsWvUXXrt3p338AAM8++zy//LKWvXv3XIumCyGEqEf277xQ6rmiU3zFA6fS2LKdl1+vYAsbUXNceoSqrvj7BzB79hsATJ8+q8Q63367ssTyyZMdM0z4+PiybNkPNdtAIYQQDUJOfl4ogCEj2vPbqmP24+gOBvZuOw9AYJOKb1ocHhnA5YtXy6wjI1Q1TwIqIYQQ4hoxmy38tvoY0YrBYVNigOatm9g/DxvdkVbtQmgRHUyTEB88daX/ug4M1pNaZO2Uf5C3PaAKjfAjO9NI+67hxMWmceH0FQB0ZdxPVI30qBBCCHGNnD91hZNHEjh5JIEJz91gL7/tri546z157HlbzuyCTYrDIwPKvefIe7ryxZJd9pQIPn6F04PhEQFcf5NtLfKqr2x7+AUEeeMuU341Tsb8hBBCiGsk/lLhVNySNzcBEN3eQIvoYMAWSGkqsgiqCF9/L3pd18J+7FMkQ7pvQOHnzj0jCY8KYPyT11Wp7aJsElAJIYQQ10jqlWynMp1X9SeL3LSFQVhgE33hvYtM7bVsG8Idf+tBQJCehiQ718TG/bHk5WeBrysSUAkhhBDXyJnjSU5lBZsfV4dfkRxVeh9P2ncJB8AQ7lfte7u6HUfi+XiNytFzKXXaDllDJYQQQlwDplJGUCrzBl9piqZY0LpruOGWdvS6vgX+gdW/t6tLy8wDwLOO31yUEapSZGVlMnLkzWRlZTmUjx9/HxcunGfixAmcO3eW3bt38MAD95Kba9vxOykpkfvvv4fExOptmSOEEKL+On86mfOnrzhscpydnyIhskUgg29VuOsfvbh5TEd6Fln/VFW+/oVrpbRaN7Rat0YRTAFkZtv6Ve9V/l6HtUkCqlLo9T5cf/1Afv/9V3vZsWNH8ff3p1mz5vaymJh+9O3bj4UL38ZkMvHSSy/w1FOTMRhC66LZQggh6pgxz8zqrw+y+usDLPvfbnv5rk1nAAiL9KdDt6aEhPkR3T4Urbb6v4q9vAuDicaWY+pKum1D6CA/563grqXG1euVNHLkHaxZs9p+vHr1CkaNusOp3oQJT6KqR5k69Rl69+5DTEy/a9lMIYQQLuTIn5ccji+evcLSBVs5fjgeT52W7n2al3Jl1RV9M7AmAjRXYLVaK1QvISUbnYcWP33djlC59Bqq70+uYl/CwWrdQ+umwWwp/EPpEdqFv7QZUaFrO3XqTFpaGvHxcQQFNWHPnp1MmvSMUz13d3dGjbqDN9+cw3PPTatWe4UQQtQ/f2w7R3JCBjeP6cS2X085nFu57ID9cxODb4281VeWhjBClZVjZMYHu4hpH8q4oW1LrWe1Wkm8mo0h0KvS6SZqWv3v9Vo2YsQo1q37mU2bNjBgwCA8PJwj4Li4y3zxxSc88cQkXn11BmZz3b66KYQQ4tratekMp44lOmxI3P/G1k713Nxq75f+3Q/25taxnRvECNWWg3GkpOeybveFMtMhpGcbyc0zY3CB9WIuPUL1lzYjKjyaVBqDwY/ExPQqX3/zzbfx7LNP0aRJE5588mmn80ajkRkzpjJp0jP07z8AVT3GRx+9z8MPP1adZgshhKiHfvxiv/1ztz7N2L7htMP5kFDfWvvu4FBfgmvx/tfCiYuphAZ6cyq2MAHqqu1nGTOgdYnBaHaOCQBf77qd7gMZoSpRWtpVpk37JwD+/v40b96CvLw8mjd3fhNj0aK36Nq1O/37DwDg2Wef55df1rJ3755r2mYhhBB1o6S1Prfe2RmNRkOPfs0cyoNCGlZSzZpiNFmYt2wfcz7by9T3dpCQUpgAddW2c3z7+ymna3KNZjLzAyoPF5jmdOkRqrri7x/A7Nlv2I9nzHjFqc6iRUsAmDx5ikO5j48vy5b9ULsNFEII4TJMRotTWUG28u59m5NwOZ3Yc7apwLI2OW7Mdh2N5/BZW2LOXKOZc/HpKM0CUS/Y+m3NrvPcdWO0wzqpqYu3czU/B5W7C0xz1n0LhBBCiHrMWMIaH9/8V/i9vD0YfKtiL/fUyabEJbmcnOVUFlVs+vKnHefsnzOyjfZgClxjhKruWyCEEELUsj+2nuW7j//AYqnYq/iVUTwDemhTP9w9CgMnv4DCbWFkhKpkcVecA6rb+zsus1m1rTCgik3McDjn4QIjVPInK4QQosHbtfksAGmpzpsTV1fBCFV4VAADh7UhJMxx/zyNRoOPn47M9FyHBJzCJjfPzN7jiQ5lTYP1BPrqeP6+Hnzz+ylOX0ojz1QYuJ5PcAyo3GWESgghhLh20tNyavR+OdlGjh+KByA80t8pmCpw94O9GTmum31tVUN08uJVLhYLdCriy19POBxr3TS0jQoAQGkexPT7e9OhRRBWK5jMFqxWK1/+4nhNdq6p6g2vITJCJYQQosFIv5qD1t0Ns8niMNVWIC/XhJdPzY0SrVz2J0nxtiCi6DRfcV7eHkS1DKqx73VF//5yLyazlRkP9CbK4MtHPx0lM8fEg7e1J8C39G1hzlxOczh+55kb0Lo5jvf45CdDzcwx8dP2cxQ3uHtkDTxB9VQooFIUZR9QkBTiDPAe8B/ABKxTVXWWoihuwDtANyAXeFhV1ZM132QhhBDCWVpqNp8v3mk/DgnzpWf/5hjCC0eNcnNqdiSjIJgC8KrlDOiuLNdoxmS2rU/beSSe1Ga57DhiG7lbsvII/7y3R6nX9mgbwoX8ka1gfx0e7s6BaUGeqU/WHGPfiSQAxg5qjZenO73bhxLg41mjz1MV5f7pK4riBaCq6uAiZfuBscBpYLWiKD2BloCXqqr9FUXpB8wDRtdCm2vd3r17eOmlF2jZspW9LDAwCG9vb4YOvZl+/a6zl48aNZwVK9bywQfvsX79WkJCQgBbLquhQ2/mgQceuubtF0KIxiQv18T6FUfwD3DMlp0Un8G65UccynKyjbXWjhZtgmvt3q5udZFRo3W7L7Bu9wX7cVYZ03GXkzPZdTQBgMdGd6JnO0OJ9XzyA6qCYArg9v4tq9PkGleRcLoboFcUZV1+/ZcBnaqqpwAURVkLDAWaAmsAVFXdoShK71pp8TXSq1dvZs2a41D22msvl3nNuHH3MWbMnQDk5eXxt7/dxahRdxAU1KS2mimEEI3e4X2XOH/qSoXqZmfVXkDl7wLbn9SV1dvOlnquaRnrxl58v3BE0c/bo9R8Uj5ejtO0w/s0K7FeXapIQJUFvAn8D2gL/AykFjmfDrQG/CmcFgQwK4rirqpqqaFpUJAe9xKG9mqawVDyIsHSBAbq0ek8nK7z8vIgIMDbodzNTYPB4IePjw5fXy/7ufj4eKxWCxERwSxfvpy1a9c63Gvu3LlERERU8Ykqp7LP3xBJH0gfgPQBNMw+8PV1XitVmuysvFrrg/rUtzXd1m7tDOwv8qbeX29pz5rtZ0m+moPWXVvi95nMjglRg4N9S21X0yI5qeb93w20iQqs1r6ItfFnVZGA6jhwUlVVK3BcUZSrQNEhFz9sAZY+/3MBt7KCKYCUFOe8E0UlfrOM9D27K9DE0mm1bpiL/KH59Y7BcNe4Mq9JTc1i27bt3HPPvfay664bQE6OkatXsx32BrRarSQmppOZmcvy5R+yfPkK4uPjMRgM/POfL5KdbWX48NEMH+48+1mdPQYrqrp7GTYE0gfSByB9AA23D04cjXM4jmge6LBJcVHZmcYa64PiW87Ul76tjZ+Dy8XyQg3tHkH/9qFMfHsTmVl5JX7fqx87btGWnp5dart8iyRE9XHXkJxc+bcJC1Tn+csKxCoSUD0IdAGeUBQlAlvglKkoSjS2NVTDgVlAFDAS+Dp/DdXBKrXWRZQ05ffmm3MwGvMcyszmwrwYBVN+x44d5eWXp9GsWXMAvvvuKzZs+NXhuunTXyE8PLyWWi+EEI1D6pUszhWb7ht9X3eyMvP4eOE2ALRaDR17RHBwTyzZ2Xkl3aZK8lzgVX1XYLFYSbqaQ5CfjpT0XHu5h7ttBMlodt6ax2S2OL3d5+5Weian1k397Z89y3ibsi5VJKD6AFiqKMoWwIotwLIAnwNabG/57VQUZTcwTFGUbYAG+Ed1G2e4a1y5o0nl3qMGI/F27dqzceMGBg4cDMCff+6jZcvWTvXat+/A3/72ADNnTmPx4g8ZO/Yexo69p0baIIQQotCVxEyH49aKbVFz0USPN43qSMu2wRzcE0tWZs0FVAVZ1731Htzx99LfYmvoUjNyMVustI0KICxIj9I8ELDNEAGYTM4BVdFF6wX0ZbwlqdFoePOJ68gtYZsfV1FuQKWqah5wXwmn+hWrZwEeq6F21bk//tjDxIkTHMr+/e+3OHHiOOPH34der8fDw4MpU6aVeP2IEWP49df1/PDDt4wde/e1aLIQQjQ6eXnFf8HaghxtkYAqMFiPm5sbnjr3Gl2UXhBQRbYIJCCo4SbsLE/BqFQTfy/uuKFwkMFNo8HLU0tmjnOf7zoSj0YDcx/tz5TF2wEI8is9V1XB/V1Z402aUYaePXuzatX6Es89++zzJZY/9NCjTmVvvfXfGm2XEEIIR6ZiAdVp1fZafdEFy375v4i9vN3JrsERKmt+QKWpxuLohuC9FYcB8Cxh+xdDoDcJKdlYrVY0msJ+Ss3IJTTQm5BAb956agAZ2cZS3/CrLySgEkIIUW8Zi00BNWtly0Ze9Je3h6dtzY2XtwfJCZlOv9yrqmBNek3cqz5LumrbzifP6Dy1l2c0k2s089DcDQA8f18PoiMDSM8yEh7sA0CAj6dLJOasLgmohBBC1Ft5ebaF4T36NcNT506XXoVbkOi83PHWF+Yv8vL2wGy2YMwz46lzx2g0c/5UMi3bhDhMEVZE3MWr9rVBbo0ooLJarZgtVvtoUm6REcLhfZs71Y9PcdyMeu4X+5h0Z1esQKBv/Q+iipKASgghRL1lzP+FHt0+1GGLGYB//N/1FM1s4Bdom/pLis8gonkg2387xeF9l+h9fQtiBraionKyjfzw2T77cWOZ8otPyWLxj4e5nJzJ208NwMvTnTeW2fphaM+oEkeZnhrbhYXfOb70v+DbAwD0VkJrv9HXUP2esBRCCNFomc0WDu6JBQqn9YrSaDQOa6maRgUAkJD/un58rO2/ifGVy2kUf8nxdf/GMkA1b9l+zsWlk2e08NveWNKy8jid3xcRBp8Sr+neJqTU+/VSSt5mpr6SESohhBD10h9bC/eP86hAbiKv/P3gzGbHhJyVjYecAqpGMEJltVrta6UAvv39FPuKZEbv0rrkLdaKri/r3T6UPccSSjzXEEhAJYQQol5Kyh9ZCgrRo6/AepyCvEjFE3JaS6pchvQigQWAuYQ8Sw2J0WTmvz8cAqBL62B0nlr2HEvgVH5g+e/H+xMSUPo+hh7ubhhNFiaM7MhDt3Xg3R8PMay36+3FV10y5VfM7t07eOCBe8nNtf2FSUpK5P777yEx0RZVjx9/H/PmzXW4ZtSo4Q7HO3ZsK3cjZSGEENVT8IbfXf/oXaHRjoKF5/t3XuD44fjKD03ly8pwTL2Qm91wM6ZbLFYefXMjB04lA+DlqaVNZIBDnbKCKYB/P9afVx/ui7vWDZ2nlqfv6kanViWPaNVnElAVExPTj759+7Fw4duYTCZeeukFnnpqMgZDKAcO7Cc6Opq9e3eTlZVZ/s2EEELUmuysPHRe7vaRp/JotYUR1OljhdNVlR2iysrMw1OnJSI/I3h2ds0lC3UVm/+8xIOv/8biHw85lHeNDuam3lEM7RkFUKGRpgBfHZEhJa+xakhkyq8EEyY8yeOPP8TUqc/Qu3cfYmJsSeFXrlzO4MFDCQ0N5+efV5W7nUxWVhZTpjztUNarVwz/+McjtdZ2IYRoDCwWKxlpufj6l51du6iigZevv470tJwyapcuKyMPvY+nfU1WTgMMqD76+RgAe9TCwPP+4QrXd2kKwF9vbse9w9o2qpQR5XHpgGrbb6c4XWQBW1W4ad2wFNmYsXX7UK4bEl3mNe7u7owadQdvvjmH556zbS2TmZnBgQP7ef756bRqFc3Uqc+WGVBpNBr0ej2LFi2pVvuFEEI4u5KYgTHPTFiEf/mV8xVdZ1XVBdG5OUZyso00CdHj5W37FdoQA6riXn+0H6HFtteRYMqRSwdUdSUu7jJffPEJTzwxiVdfncGCBYtZt24NFouVKVMmA5CcnMSePbvo3buP01/M7OwsPD11MkIlhBC15PKFq0BhKoSK0Hl5MPbvvfju0z+wWCz2Re0VYbVa2b/zAjt+Pw2A3ldHUH6mb99y9qCrT6xWKx+uPgpAsL+Op+/uTkSwvsG9kVcbXDqgum5IdLmjSeUxGPxITEyvcH2j0ciMGVOZNOkZ+vcfgKoe46OP3mfbti3MnTuf1q1t7Vm37me+//4bevfuQ0REBH/8sZtevWIA2LlzO126dJMRKiGEqCVJCbZgqDIjVABhTW3JP4sGUxZL+W/p7dp8hr3bztuP9T6edOoZQV6uCaVLeKXa4Mq2HYpj66E4ACJCfBvF2qeaIovSi1m06C26du1O//4DANtmyJ9++hFgtQdTAIMGDeHAgf3Ex8cxZcp0PvrofSZMGM8jj9yPl5cXw4ffVkdPIIQQDV/Bti+eusqNC7jlr6OKiy3MJWWqQNqDI/svOxyHRfqj1brRe0BL/AK8KtUGV5WQksUH+aNTt/ZtzsS/dK7jFtUvLj1CVRcmT57icOzj48vGjTud6ul0OlatWm8/lpEoIYS4dgrWxrppKzcVVdIbgaYSNvUtrnmrJrZUC/mi2zesLN8Ah85cAWy5pu66sU0dt6b+kREqIYQQAOTkmYhNrNw2LHXFkp/t3K2SWcpLCsDKW1Sel2vixJHCYKq1YmiQa4pSM3IBuK2f8ybHonwSUAkhhADgvR8PM+ODXVxMKD+oOheXzksf7CQhJcte9vVvJ/nqtxPk5ifcLI3JbOFCBb6jLBZLfkBVwRxUBSoSBqWlZrP+xyP2jOhHD1y2b7Lc/8ZohtyuVOo764PMHCOrttm28jEElp2oU5RMpvyEEEIA8Gd+NuzzCelEhfqWWXfeV/vJyDaydtcF/j5cIddoZs0u26LtPccSeeOJ60q99vP1x9m4/xL/vLcHHVoEVamt5oIpv0qOUPn6O693Mpsdp/y2/XaKM8eT0LhBZloul/LfKATo1ieqQY5O/bbXtsm0v48nTUroI1E+GaESQgjh4FJSVrl1MvKnyQJ8bLmdLhaZKkxOy+HM5bQSrwPYuP8SAGfLqFOWMyeSiD2XClQ+oALQeRWOJRjCfcnKyMOYV7h9TMFC9xOHExyCqTvH92qQwRTApSTb7h9P/aVLHbek/pKASgghhMM03U87zpGVU/r+dKYiIzrm/Km3T9eoDnVe/XhPud9Z1eBkzXeF26FU5R5F38rzz5/eMhZZmF5akFY0EGtILBYrxy+kote507qSaShEIQmohBBCcOTsFYfjHzafJjfPzLFzKU5141Oy7Z9XbjvLL3sucL6ENVGzPtpNVo7jgu/MIscmc/lv19WGm0Z2YPgdnXjs+UH2DZPNRVInmEtJo+Ct97gm7bvWvvrtJCnpucR0CG2wI3DXQsMMt6spNvYi7767gISEBLy8vNDpdDz++CQ2bPiF9evXEhISgsViyS9/inbt2rNy5XJ++2098+cvQqPRcOrUSV57bSaLFi1Br5fEaEII17Zu1wWH473HE0nPymPX0QQm/qULPdsZyMox4eWp5VTsVYe6X/xyAoBu0cFMHNuFX/+IZdmvJzgXn87EtzcDMG5IG27u05yk1ML984wVyP9UnNVayZ2MSxAU4kNQfsJK9/yAqiAX1cmjCVwoFlwW8PBsmL8ytxy0TcH279RwEpTWhYb501ENOTk5TJ36DM8/P53OnbsCcOTIIebPn0uPHr0YN+4+xoy5E4Bz587ywgvP8tFHXzBy5Bh2797JF198wujRY3nllRnMnPmqBFNCCJd3Pj6dk/lB0rS/9WL2Z3+Qkp7LrqO2vVQXfX+QGQ/0Lncab2jvKLRubgzs2pRlv55wOLfst5N0iQ4muciGxFUZoapIEs7KKMhLZTaZsVqtrP/xSIn1GvLATZTBlxMXr9ImsuLb+AhnMuVXzNatm+jVK8YeTAF07NiZhQvfc6rbokVL2rVrz4ED+wGYMuVFVq36kenTpzBu3F9p3VoSowkhXN8eNQGzxcqjozrRppS98SqyJso7fwTHW+fO1L/2dDr/4vs7+XjNMftxVUaosjPz7J9btQup9PXFuXsUjlDlFls3ds/DMbRsGwyAh6e22t/lyjSaqi3wF4VceoQqJXY9Wakl/2uhouLc3DAX2adJH9iRoMhhpda/dOkSkZHN7MdTpz5DRkYGyclJdOvWg+DgYIf6TZo04epV29smvr6+3HjjTSxf/h2zZ79RrXYLIcS1kpphC1Jahtv2uZt0Z1cWfHug0vcJa6K3f27XLJAPpw7hbFwaK7eeZd+JJADSswrXUF2sQBLRjPRcNqw+xnVDogkO9WXzetvIV0CQN7fUwNYohSNUFrKzCoO11koIQcF62nUKIyk+gxtva1/t73JVJrMVrZuMr1RXhQIqRVFCgT+AYYAJWApYgUPAk6qqWhRFmQncnn/+aVVVd9VKi2tZWFgYx44VBnGvvz4fgAkTxmM2Oyeri4uLY9CgoQAcO3aErVs3M2bMWN54Yw4zZ/7r2jRaCCGqITM/BYKPt23Rdfc2pY/8jB3Umu82nqZ1hD+Bvjr2Hk8kwNeTfz3cFx8v50XbLcP96dyqiT2gKuCm0XAhIQOLxVrmyMjGn1Uunk1h+4ZTdOjWlPOnbOubcnPKzm5eUe4etpEnk8lCdn6w17N/c/oOag1AdPtQotuH1sh3uSqzxYJ7JbfwEc7KDagURfEA3gMKXuuYD0xXVfV3RVEWA6MVRTkHDAL6As2A74CY6jYuKHJYmaNJFWEw+JGYmF7h+gMGDOKzz5Zy6NBBOne25eO4ePECiYkJtGzZyqHu6dMnOXv2NJ06dSYtLY1XXpnBrFmziY5uy6RJj7Fq1Y+MGDG6Wu0XQojalpltRAPoy9lo+I6Brbi9f0taN/WnRbgfei8PLBYrZosFD/fSp8QGdosgNSOPVdvPYrVCj7YheOvc2XYojs/XH+fvw0vPPH75om1tl7fek3XLC/+xe/vdXUu7pFKKjlAVvN3n1UDf5iuN2WzFvZIZ54WzioxQvQksBl7IP+4FbMz//DNwM6AC61RVtQLnFUVxVxTFoKpqYk03uLbp9Xrmzn2LxYsXsnhxMmazCa3WnSlTpnHkyGGWLfuCX35Zh1arRat151//motWq2X27Jf5y1/uom1b2/8YZsx4hccff4guXbrRokXLun0oIYQoQ0aOCb2Xe4kjRQWL0YP9dYy83vaPyg4tm9jPu7lpcHMre32Ru9aNO25ozYZ9sWRkGwn01RFl8OHMoTgy9l3m3X2XueehGE6piXTv08y+XslssmDMs80MpF3NcbhnaFNbvqR1u86z61gCU+7tgadHFdY55T/yuZPJ+Obnp/LWe1b+PvVUakYusUmZ9gStourKDKgURRkPJKqqulZRlIKASpMfOAGkAwGAP5Bc5NKC8jIDqqAgPe5l/KumphgMfpWsr/DOO4ucykeNupWpU58r8ZoPPnjf6Ts3b95Uqe+tLZV9/oZI+kD6AKQPoOQ+yMo14e+rczjXqXUwh08nE9MlgpXzamakXZs/reTl7cGt/VtxbN1J+7mvPtgNgF7vyeD8EavUK4UZ2+MuFqZqCI/wt7d12W+2e5xJzGRAt8gKtaPoc8aeteXZOnYwrvD+TQMa/M9KwfNNeXcbAFcz8xr8MxdVG89a3gjVg4BVUZSbgO7AJ0DRyWQ/IBVIy/9cvLxMKSnlb29QXZWd8mtoGvvzg/QBSB+A9AGU3AcWi5WrGbk08dM5nJt8V1esVitJSdXbxLioghRS2Vl5fL5kR4l1EuPTSUxMx5hn4n/ztzid13m5M2xMRxITC1M9AMz9ZA/R//Qtd+qqeB80a9WEsyeTHerkGY0N+meloA/OxaWTlD/y16V1cIN+5qKq8/+CsgKxMn/yVFW9QVXVQaqqDgb2A/cDPyuKMji/yq3AZmArMFxRFDdFUZoDbqqqJpV0TyGEELXHaLJUKvnlqx/vwWrFaUG5m0ZT429+RedvaxIapCczI6/EOqb8LXCupuSUeH7I7e3x9ffCbLEw+9M/HM4dv5DK0fzM7rlGc4X6oSAtQttOhWMFDTWBZ4FDp5J48PXfmLXUNirYu30oT99VM2vSGrOq/NQ8C7yvKIoncBT4VlVVs6Iom4Ht2IK0J2uwjUIIISrgy19OsH7PBW7p05y7h5SdB89itfLPd7aRkp4LQFRo7SchfvD2DvyhJnJd53C+PxxPZnoup7HQusi/7VOvZBMXe5XszMK3+LTubvYF4wUbFy/9uTCfVWigNwmp2by5zJYT0Nfbg4xsI73bh/LEmLJTKxSsG1OYN1EAACAASURBVDPlFabX8Q/0Kq26y7mUlElYE+9KBb9vfFaYU6x7mxBG9G8hW87UgAoHVPmjVAUGlXD+ZeDlardICCFElazfY9s+Zs2u8+UGVDm5JnswBTD6+lZl1K4ZPl4e3NAtArBNNeq83UnOziMHCzlAT9xIjEvnh0/32a/xD/SifZdwdm0+CxQGVFuLrHnq2zGMldvO2o8z8tNA7DmWwPELqbRrFlhqm9zypwiT4m1TQB27N3X54CIrx8jHa1RyjWYOnEpm7KDW3N6/ZbnXXc3MI+lqNlfSbH/uU//as8y+EZXTsMc1hRCikUjLKnkKrTRGc+F02KKnB1btDblqsBbJP5VZRr2+t7TDWCTw89Q5t1NXRhbzK+klTx0WKGhDen6QYWjq+guz53y+l9jEwl7bfzKpzIAq7koW04qtWXvo9g4STNUwSTwhhBANwLYiIzYA+0+UvYzVaLKtVdIA+hIScta2khJ6mnFc86Rx0zB72X4Onit8x0nnZRsHKDqIFOhb+Mp/26gAgv0Lp+xWbDlbZjvciiW0DA13rYDKbLFw7FyKw3qwosEUQGigvvhldnlGM/O/2u9UHhZU+jWiamSEqgSxsRd5990FJCQk4OXlhU6n4/HHJ7Fhwy8EBwfbN0cuMHhwP/vef7m5ufTt258HH5yAm6TyF0JcI19vOOlwvOC7A3w4dUip9Qv20RvUPaJW21Uaq8XqNLVWfAl5waqmDYcu0zX/3/8FC8YDfDztW+Z0aFGYF8vHywOdp9a+CXPclbLfJi/6/2mNBoJCXGtD+9/2xvLlLyfo0TaEh0d0JCc/L1fX6GDuGdKGF9/fSXoZo5Ort5+zv8nXqVUTDp+5Qtc2IbSsByNx9Y0EVMXk5OQwdeozPP/8dHuQdOTIIebPn0uPHr1KvMbfP4BFi5YAYLVaeeON2Xz//dfceee4a9ZuIUTjpZ5PsX8e2LUpmw9cBmDX0Xhi2oeyevs5zBYr/xjdxV4vz2gLV9zd6+Yffhar1Z6l3F5WrI4xfx/WopvMFIxqpRZ5S9CvSGbz1Ixc/u/Orny8RmX/ySSUcqa1bIlJNVgsVrz0Hk5tqmtxybaAcN+JJJ58axM39YoCQGkeSNNgH3QeWi4mZmC1OgeoeUazfW3ZC3/rSZvIACxWK+FhAY0mRcK15Fo/OS5g69ZN9OoVYw+mADp27MzChe9V6HqNRsO4cX/j11/X11YThRDCwc6jCQB467Q8cGvhJr6LfzzMxv2X+H7TaX7ccoYT+YGX1Wpl9fazAHjUUQBhtdim9OY82s9eVjygupg/ZlW8PKFIDsOZ42Mcck9l5hgJ8NUx6c6ueLi7kZ1nKrctfi6cIT3QT+dw/MsfFwHo2tqW7qFZqC+pGXms33PR6doDpwrza7UI80NTC6kwRCGXHqH6+UIiB69UL6mcVuuG2Vz417FLE19ubWYotf6lS5eIjGxmP5469f/ZO8vAtg6zbV9iMzNjlMSOE4cbapJCUoaVB+3arYN267q+a8dbB9863tpBV1pXTCGlpEmTJmnD7JDjWMaYmW2xdL4fRxZYMiXG9lx/Ih3SkSL53OeB+/k+vb29tLW1MnduPpGRkcO+ZkREJF1dw/qaSkhISIwJnY6i7T98axlymYzLFyaxw3GBfWmbzrnd2Yo25IJAWlwwxxyTwYZLiY0X/TVUseEB/Pq+xRSUtKBzdPIBNCDQBvhrlBhMVhoQSIoJ4sOD5ykoEc99xZx4UgfUPP3gznzn45SYIMrruymr6yIrMXTQcwkK0dDVYRhxdKqgpAWj2cqy3PgRv98Lxezw5XLHX6MkMToIgOuWp/HXN0/R2CbWVQmCQElNJ5Ghfs5GBbVSPuFNB59HprSgmgxiY2MpLnYN4Hziib8AcP/992CzeX+xfdHY2EB0dOy4nJ+EhITEQNp7jGhUCudw4+uXpzsFlTsvfljkWJ/mXDYKD9Axo7qiDaPBgtFhb5AYHURidBDnHIJKj+CMTuWkhXPfNbP51l92U9vcA82uVJW7mLpyUTJyuYyoUH/nsrXzkyivL+L9vRU8codLaA2k34rBbBo6mtXdZ+adPeXsOSWmVBdqY8ZdqJgcNVO3rcly1sm5m3D2fwafnqxnwcwY6pp7neN4Ah0F/A/fNndcz1FCZEoLqquSo4eMJo2E0VrMr1hxKa+88iKFhWfIzRXrDWpra2hpaSYtbXifFrvdzuuvv8zll195wecsISEhMRo6ekyEB2ucNTRB/irys6M44ej0W5EXzz5HXRXAB/vPOx/bJ0FR7fu4zOdym0wGgmctilqlQK3yHTmaP8N1fbjjsmyv9VZHDdbZ8x1e69xxCqph0oPfe8pzFE6f0Trugqq/CD1/RhTrl6R4rQ/2d9WP/XmDZzdfn1F8P/FTrND+s8qUFlSTQUBAAL///V95+umnePrpNmw2KwqFkkcf/TFFRWd5+eUX2bTpfee2Tz31H7q7u3jwQbGrz2q1smjREq69dmyGiUpISEgMRkungXf3VtCjt5DkSAH1Exrkqr1ZPS/RQ1C5M9F6ymK20dVh8H0ucsAG7hJlXlaUT6PNxbNiCB9QXzSQBTOi+e+W4iG3AUhOD0d3ppH0GYPfwFc3ed+Yd/eZhz2H0bDlUBUf7KvkJ19ZSHKM+P9pdIg8v0HG4chkMuIjA2hoc6Vu+53j+wmZgrVhn0UkQeWD+PgEHn/8d17LL7lkBffd9w2v5Z9+6nvIp4SEhMR48rtXjju73WIjPH2FUmNdAishKoDE6EAv/yKArKTBa4vGA5NRTPPFJoSw/uYcz5UyGSA4I1Qr8+JZODPGYxONSsFXr57JQq3ncl8E+KkICxLtFb7+h0/Iy4zk8W8s89oue3YsgcEaYoawEti4u8JrWVVTj1cN14Vgtdn54X8OOh3Mf/HCEX79tSUYzVYKSsQoo98Q5qWaAVGyNfMTqWrq4dDZJuIjJb+piUISVBISEhLTEIvV5mEdsHZ+osf6/BnR/O8jsSBdo1KQFB3kJai+e0seuekRTCQmRxoqOi6IgKAB0R25p6C6x61j8Rf3LEImg5TY0QmYAD8Vnb1mbHaBE6WtdPf59mxKGMZeITUuiDMVYtecRqXAZLFxqqzVOUrnYjh0tskppvr54+snnOcql8lQD2Fv8bVrZ/PT5w47nyfHBLFucQpr5ycRGihFpyYKqX9SQkJCYhry3t5KAEICVLzww7VeKT/3NI9MJiM23N9jvVopZ15WlIflwESgd4gEjS93dofHlAwZK/I8Z+qlxgWPWkwBNLR5isjOXtMgWw7O3lP1bD5QBcCv7lvMPx5eCYjeUIZhCtlHQn/XYn52FH/6thhBcxd+KpV8yPmCCVGBPHaXq+je31ETlpUYSnSY/2C7SYwxkqCSkJCQmIY0O+qQvrA6c9Btls+JY+lsseN44KiRlEkasbL9vbMAPuuo3EfR3Hv1rDF5vYE1YrqqoQvUB/LMB2f571ZXHVaQv8rDy8lXbdVoKK3t5GSZmNZ78OY5RIT4kZvhGTUURlDopk0Jdz4OGxj5k5gQJEElISEhMc0439jNcWdUY/BC6vuumc3914t1SotmxXDf9bk8dlc+87KiuG+MBMtoMZv67We8RYIlQIUZAX3U2EVVHroljysWJvOVdVoAnnrzpLPQeyQcKmryeB7oiKx971bRiuC1HaUjEjyD8btXCpyP+6NQ374xl6WzY0edrlswIxo/tUJK800SUg2VhISExBTD1xgRd85WtgNiQXm/19BwKBVybrw0k5aWHo9oxkSTmBpGXVUnyy/3tjmIjg7kSGsfkeaRef6NhLlZUczNiqLPaHGanHbrLYN2zbljcphq5qSFs2hWLH0GCypHLVNeZiRzMiI5U9FGR4+JCLeBzCPFPV3oXtzup1Zy//U5/O2tU5wub/MY9jwU374pF2DI747E+CFFqCQkJCSmEB8druahJ/fR6mh779Gbaen0TI/16MVOuTsvy552F099nxmVWoF/gHcNVX+9j95k8Vp3sQT6qZxz8IwjqHvafOA8nxTUAaIFxaq5CVy1NNVjm+gwUejojRdWR9Xslvb8vzvmea3vr6OKjxyZj5RMJpt234fPElKESkJCQmKKUHS+3emGXdHQTV1rH39/+zQAz/xgtbOAvLalFxkQFTr6qMhYYTZZkclANUykRxAEzpe2kZwejkwmo7NNT2xCiM8L/5r8RM6Ut3Gnj+jVWNBfrD1cIbnBZOWdPS6bhMG8ptRK0a7AbB04bXBk9DhGw9y0Mt2ZSnTni1fO4LWPS7lrnD4PibFFElQSEhISU4Dzjd38yc3p+un3z3qsL6xsRy6T4adW0NFjItBfRfAkGja+9M+DCILA1x9ZNeR2JYVN7PqwmMyZ0cy/JAVBgIiYIJ/bRoT48ct7F4/H6QJugsps49z5dv67tZjv3z6PuAEeXm3dRo/nlzkiWwPpT/9ZrBeWorQ45syqlL49pjITQvnZ3Qsv6NgSE48kqCQkpiB9Rgt/ev0k6fHBfGX9zOF3kJj2/P7VE0Ouf9IRqQKQAdHhk9sOb3HUOXV3GggZpDXfZrOz60OxQ668uIWgEDHSEzpJrfx+GlG4nChpobS2i9YuI7996RhPfc9TFBa7dQIumBE9aNecS1C5IlRdfWb+8c5p5mREcu2yNOSDpOA6ekycdIwGUiqkNN1nAUlQSUhMQT4+WkNVUw9VTT1cc0kakZOY2pEYHxra+pDJZMRFBKA3Wp0F0FcvTWXLIdHzKCk6iNqWXq99BXAOQp5s6qo66WzXE5cY6pyJ9+4rJzD0mclf6jl77tQRcWCzr/qpicDfkZ7c6zaGp89o9WoCaGoXa5u+e0seeRmRgx6v32zTPeV3rqqd8rpuyuu6eW9vJQlRgfz6vsUex7fa7PzomYOYLeJ+yiFMOyWmD1PjFykhIeFEEAT2nKp3Pj9yrsmrGFZiemO12fnJs6Kz9TM/WE15fRcAVyxMJt1t/ElCVAAKhYyqRm+vo4FGnpPFoU8rMBrEIvKAIDV6N/f2T7fqfO6jniQx6K/xnVqzCwIKmYymdj12QXCK24TIAA9vrIGoVP01VK6UX1uXZ7qwvrWPlk4DMW4+YJv2n3eKKQDVBJurSowP0v+ihMQU47iuhc5es9PZetOB85N7QhJjzu6TLsFc1djjfL5kdiwJUa6OLj+10tkyn5sRwbrFyc512RM8g28w+sUU4CGm3EnL8ozyhE3SfLnBrBJaOkUR9KNnDvGTZw+jdxStD5yRNxC1j5TfQEEF8MP/HPKosxr4m1ZIKb/PBFKESkJiCmC12XlndwVVTT2cc9RvpMWH0NRhwGi20dppIEoaITHtMZis7Dxey/v7Kp3Lmjr0FJS0kBQdSHp8MDKZjJ9+ZSHl9V0smR2LIEBshD9XL00l0E/FtiM1wOhn2o0lozWynL8slYUr0ggIVKPvMxM+SYJqMIH042cO8cMvznc+7x8Fox5GUPmqoWp1FLQvzYklPjKQdx3dgsdLWlgyK5bDA4xCAboGEaIS0wtJUElITAH+88FZjutaPJa5RyoeffogTz60kiD/yak9kbh4th6q4q1Py72WP7f5HADZyWHOOpuMhBAyEkKc29y6Osv5OCRQTXefmfCQyRsvYrd7C6rk9HBqKjvInBnNisuz2LO9lLqqTlIyIohxCEWAwEEsCCaCKIdvVFxEAI3teo91T7xa4PE8JSYIP/XIBFV/VMpitVFZ301okJr7rxMd6utaejlyrplnPijimQ+KnPvOnxHNlYuSeWW7jkUzYy7ujUlMCSRBJSExyRw51+QlpgAv8VRQ0jImk+0lJoauXhOhju4wQRB8iil3FswYfISMO7+6dzEdPSaP4ccTTX+EKiwygIAAFWqNkitumE1rUy9xjlTk+ptzJ+38BiPQT8Ubv72ani4x8vvg3/YMuu33b583rElmvw/V1sPVxEUE0Nlnps9o5aolrmL8eVlRHDnX7LFffGQAD948B4Bf3bfkQt+OxBRjWEGl1WoVwLOAFrABX0Xs2n0RsdmkEHhAp9PZtVrtL4BrACvwPZ1Od2SczltC4jODu99QSkwQNkGgrqWPyBAN1y5LdU65t/mICkhMTY6ca+Lp98/ywE1zWKCNdrbHuxMd5sd3bs7j5y8cITsplNlpET6O5E1IoJqQSZ7VJji+iyFhflxza55zedwUqesaigA/FX09RgIGGdkTHxlAj95C8Ag6Ed1vetwHKGckuD6HhTNjOF3e5jET8EtXai/k1CWmOCOJUF0HoNPplmu12tXAXxAF1U91Ot2nWq32aeAGrVZbBVwKLAGSgY3AonE5awmJzxABGiV6k5Xrl6dx48oMDCYrxVUdzMmIJC8ziqZ2A0eLm2nvNrJxdzmXLUiSpsmPArtdwD3QYDRY2Lu9lPylyUSNUx1Sv0jee7qeBdpoth0V656++4U8ntwo+klduyyNpJggHr938YhntU0V7I6Soek+5mRGUigltV3O58kxQfzyq4tG/L7iBqkFm5ftKsJXKuTctCrDKai+etVMZqVO3ixFifFjWEGl0+ne02q1mx1PU4EmxCjUbseyrcCVgA7YrtPpBKBaq9UqtVpttE7nI5chISHhxC4IxIT5c8OKdEB0c853S//cdXk2R4ub+fCgGKk6UdrKb74mpQlGQklhIzs3FxMeFcDd316G7kwjzQ09lJ1rpuxcM7PnxbNq3YwxFQYnSlx/8k6Xt/GXN05SWtMJwNysSG5bk4XBZGVlnpi+TR7ENXwq05/yG8y0crrwrRtzqWzoYV52FCaLDRmjE4kalYJ/fG8lP3nusLOwfPGsGBRyzwZ69xFBkqfcZ5cR1VDpdDqrVqv9H3ATcAtwrUM4AfQAoUAI0Oa2W//yQQVVeHgAykEs98eS6OjJ64aZCnze3z9c3GdgstjYe6KWrORw0uJDht9hFOiNFoxmGzkZwcTE+D72wHOvb+0jIjIIxRD+OCM5zmcdQRD492YxDdPRqudvv9rhtU3RyQbWrJ9J5Bh5OvUaLLy3v9JjWWFlOwCP3DWfmJgQvnxtzpi81oUyFt+Dvh4TAH7+qmn5veo/5+joYLLSoy76eP/54eXc8dMtAKzMT/L5mXzntnls2lvBojkJBPiY2zfRTMf/t7FkPN7/iIvSdTrd3Vqt9jHgMODevx0MdALdjscDlw9KR4d+qNVjQnR0MC0t3qZ4nxc+7+8fLv4z+L9/7ae928TMlDAevWv+8DuMgr0OA89AjWLIc4wI0dDebXI+f+7d09y8KmPEr/N5+R709phob+klOT2C5oaRvd+Ojj7sjE192kvbdNQ0ic7m65ek8NHhaue6iEDVpP8fjNX3oK9X/C5aLNZJf0+jZbx/CwEquc/j52dEkJ8RQV+Pkb4eb6+qieTz8vdgMC7m/Q8lxIY19tRqtV/WarU/cjzVA3bgmKOeCuAqYC+wH1in1WrlWq02BZDrdDrvSkwJiWlER4/JKWTK6roueAiqL+paetmwqxSAORlD3yV/5+Y8j+dbHOk/CU/2fVzKh2+eoeBgNS0+3MV9MZbpvk9P1Dkf37o6k2d+sJr5M6JZNTfeawDvdKbRUXdkMlon+UymDl9Zp2V5bhypk+gPJjG5jCRC9Q7wX61WuwdQAd8DzgHParVatePx2zqdzqbVavcCBxGF2gPjdM4SEhOCXRB4eZtrdIbVJlBe183MCygo7Z8VZrXZkctl6I1WfvHCUeyCwLysKBZoh26ZT4kN4v7rZvPMpiLnuUl4U1UmVh0c2eNKu11+/SwCgzVERwdzeG8FzY09dHcaMPSJDt+jNakcjDq3mXs/u3shMpkMpULmbI+fDgiCQFVZG1s3FpKcHs61t8/12qa328j298Tv4WR6Sk01Vucnsjo/cbJPQ2ISGUlReh9wm49Vl/rY9pfALy/6rCQkpgCnSls5WSYGWWMjAmhq13OoqJFegwVtShjBI/QB6uoz8/BT+0iPD6GyoZuVefG0dBqcouiuK7KHPYZMJmNpTpxTUAFeA10/71jMNp+GkykZEWj8xFqfFY7PurCgjr3bxeigr30uhAOFjQB8/brZpI9xrd14Y7XYOHuingO7XF5ZNZUdXt+x4tMNfLLFdZOx6soZE3qeEhJTGWmWn4SED85UtPHUO2ecz7XJYQDsOdXAv94r5NF/HxzxsX75gmjHVtnQDYiT7ourxfLCX351EVGhIx8pE+jmndPVJ42rcKejrc9r2ap12Wh8FADnzk90WikMJqiMBgs7N5+ju9Mw6Gv2R7f0RgsHz4qCal7WxRc5TzQnDlV7iKl+qsraOPhJOY11YorPXUwBKJTSJURCoh/JKV1Cwgd/e/OUx/PZaeHsOeUaaGuy2EYcIRpK+CSNsmX+/92/lI27K9hzqp5/vnuGH31pwbRvXR8rGutEwbpqXTYz8+KpqWwnOX1ws8zcBYmcOVbnNKnsRxAEjAYLW946Q3NDD/peM9fd4Z36Avj3+2dp7zYyMyWczl4z82dE46+ZXn9WG2q7OLbfsyYvPDKAjjY9WzcWAnDycA3qafa+JCQmGukXIiExAIPJ6tHztXyO70LTjh4TEcMYMlqsNhRyGQqFDD+1kisWJrFxtzgsdVlu3KjFUHCAmtvXZrHnVD3ldd3oqjqY5XDYbuk00GuwTLt001hQX9NJwYEqFEo56dlRKBRy0oaJFMkdthMDI1RH9lZScMDVnadQeEdhbHY73/37XgwmsUmhol4Uc/dfN/ui3sdk8PH7RR7Pr7tjLvHJoTzzR8+xLGaTWIAeHKIhNimUnHnSGCQJCXckQSUhMYDfveIakvrEN5YSEx6A1Wb32m7DrjK+faPveWW66g6e21xE/oxobHaBKxYmc9vaLJo79E5BlXWBYzr8NUouX5jEjmO1fHyslllpEVisNh57WkxDzkgO44dfHFt7h6lIf4SwuaGb9189CUBiahgBI3SRH0xQtTV5pg7tdu//+9ZOo1NMuaNWjb+v3ljT7ymVvzSZlMxIEhzpbV/MyInlsutmTdSpSUhMKyRBJSExgFpHt9bd67XEhIut7kofUYpjxZ4DT7cfrcFksXG6vJVyR/ppx7FaQIxGAWjUrp/c/OyRDcP1RYYjCnWyrJXmDj19bu3rJTWdmC22aXlxHym7P9JRdLIBgDVXu+ai9XSN3N9H7nCzLitqprmhhzkLEunuNFBVLnYKXnbdLPZuL6XXzf+rn4Y20UNvZkoY9a19WGx2Hrk9f8Sv3dNlRKGUEzDJM/nqqjoA0aBz6epMj3Xp2VG0NvVw5zeWsGtzMckZEczIiZ2M05SQGBS7YOfV4rfRWwx8Necu1IrJM02VBJWExACyk0Ipre1i1VzPlMaKOfHsO9PgsexsZTs56RHoqjvYsLN00GPGRoiF535uIudiBtwGug1l7ew109juaZLb2WtyisHPIv1iCmD/Tlcx9fLLsjy2swsCTe164iMDvY4hc0SozhwXvaM0GiUFh1ypvhk5sZw6XENnux673e4UYAAN7WIU67IFyczLjkQuk42447K6oo0P3xQbHu7/wSqfKcWJorpCdHHX5noLpXU35zjf0xU3TL9UpsTngzZDB4cajgFQ2VWFNiJrmD3GD6lFQ0JiAHqTlUA/pdcF8svrvCfE//mNk3x8tIbfv3bCa517fZTKMWJJo1awbnEyt625uB99bnoEKbFBzvN90THpPitRTCOaLN5pqs8q/bU91985l7TsKB5/8Sj3PrGLrYeqOFzUxE+ePcz2I9Ve+2n8PO8nd31YTKcj8nT59WJaKyouCKvVzvEDnvtXOUxDE6MDUcjlIxZTLY09TjEF0NU+eAfhRNBvfrpgearXOsmSQ2I6YLFbnI8TguIm8UykCJWEhBcGk9Vnp5ZKKScpOpDaFs8am9d9RKYeuiWPnPQIXtleQkaCZ5H47WuH950aDplMxsq8BF79uIQ9J13dhxkJIQ5H98+2oFKpFQQFa7BabPQ4UnIBgWrsguAUO299Wu6cd7hhVxl+/mpW5sZS29JHYlQg4ZG+I3hzFiSSPVuM2ISEiZHFY/vOs2hFmnOb9m4TMhnEho/c8gKgtMgzTeyrPmsi6ekyEhCk9mktISExHegXVJclryJYPbmDxiVBJSExAL3RSkyY7wvl3etn8sSrBfzgznwigjX84fUTtA6o27nnqpnMdXSY3XPVzHE7Tz+1GPXq0Yu2DJEhGjSOlOJYjsiZithtdlQaBR1trlRnYLCGlz4q9tjO5lZw/uKHRQT7KXhqoxghSgz3x1efWkKKqyg7b1ESR/ZUolJ71qNZbXZUipFHpvppdnQDBof60dNl9OmBJQgCx/ZXERLmhzZ3fO+47XZhUlOOEhIXi8UuRqhV8smXM9IvSULCQVOHnoOFjRjNtkHrmzITQ3n20TXMSA4jKsyf7CTXxfefD6/ihR+u9aq9Gi/6BVW54yL9xStcKcnqJtcYFF11B/f9ZjtN7eM/jHwiEAQBm01A4VbTtGxtJmqNkj2nxNqquZmRPvfdcsjlt1TX4Uq3LbzclYJNy3btq1Ip8A9SYzHb+GRLsdPI02qzX5AQ6WjXExruT9bsGABsNk9BVXaumad/v5tj+86za3Mxvd3jO0TXbhec3Y4SEtMNm93GkcbjACjlkx9llQSVhARgNFv50X8O8exm0ZPn0nkjm8mVFO0qdp5oQ0frgItxSKDaWTT/+s5S6lrF1OQzm4po7jDw3r5Kr2NMR/pFjVwh4+avzCd3fgJzFiZiMLk6He+5eha/+doSAIIDVKxfkgLg7L7sx5IZzhfuX8y/d5RwFDtJK1M9is+7+sy09IopxeLTjbQ5RKlgtjEaty+bzU7RyXqMegsqtcJl2TDAjmOgJ1SDYwjxSBEEgb3bSyk71zz8xoiCSiYJKolpyoGGI+yvFydR+KuG9gScCCY/RiYhMQUYWBc1L9t3hGMgQf6Td1cUOKCoOiRQRU5ahFNU/ey56HtBmwAAIABJREFUw/z8noXOeir1Z2RMiM0qCioBiE0IIdZRo9bZK0acVubFExqoJjRQzXdvySMlJojalj4+OuwqLJc59g8J0rDPMYMPxO9BV6+JNz8p55iumZhwf+RAf2VGSWUHUZGBJHSJadbB3PINejNb3jqDWqMkJz8Bi9nG7o9KAFCq5M7arv6UX2NtF59u1Xkdx+zD62owBEHg9WeO0NVhoLCgjqxZMcPvI0WoJKYphxuOs0H3LgCzI7UsiVswyWckRagkJABo7vBMh7mnk4ZC40i7Tca4kZz0CO68zFXgHhqo9hq0/KsXj9FnFIs2S2o6x2wQ8GTywQZxLFB9VSfPbiqipKaT/3xwllJHNCfMzdhzXlYUESF+5GVG8tfvifPck2OC+N03lgJi6q7FbVbf0eJmHv7Hfg6ebcRitVPX0kcNAkaHd/6pHWW8+IZrLNFgn+dr/zlMc0MPtec72PbuWWrPdzjXNdf3IHekC+2OKOMnW4qd9WAR0YFceaNoU7BnWwmv/PsQTfXdDEd1RTtdbmnM/kjeUEgpP4npSHVPLR9WbgfgytQ1fDvvXvyVkx+hkgSVxOceQRD42GHAOSs1fFTjQ+ZmRrFqbgIP3ZI3Xqc3KDKZjMsXJjmfq5QK/NRKHrljnsd2/dfVpg4Djz59YCJPcczR95qchd0AB8828sSrBRwuanJaR4QH+3ZKz0oO4zdfW8JPv7LQaWNhMFkprGgjNFBN/CBdf3mZkaxe6zK9NFS6xJHd5i1aujoMXpGlkrNNrn3cRIzdbkcQBLo7jag1SrS5sVx9yxwi3WY89nQZeeelgiGHNBefbmDLW2c8ljWOIF0oCSqJ6cCe2gM8sOtRdtXsxWyz8Jfj/6LN2MGlScu4IfOqKWPxIaX8JCYFs81MbW8DGaHe/jcTzXFdC1WNPaTGBvPIHfNGNV9Po1aMayffcMhkMn5xzyL83dJ/OWmDDwRu7zZR3dRDc4eBhTOHTwlNFWoq24mIDsRocHnOlOLbcmDuEDP8EqLEmjeVI/15srQVAbhiYTKr8xP4ybOHAXju0TWcLGtFo1aQkxYxaE2SaHvg2QE4nFt7XFIICsfrf/TOWb70raXY7QKJqWGsvdY11mX55Vns31HmfP7q0+K5rb5Ky6y58R7HPHW01vlYOycO3ZlGmuq7iR9ijAxIKT+JyaXN0E5JZwUpwYkkBnl+p9uNHfz5+L+QIaPD1AnAxtJNbDu/C4vdSmxANLdm3zAZpz0okqCSmBSeLXyZojYd35n3dWZGXLwv04Wy/WiN0+H8kgsYVjwVSI3zHtw8kIzEUCrqxIjFL/97FICnH7l0yoynKTrfTo/ewhKH/1Ndax8hASqw2Dm6txJdoRjhufq2OQA0IJA1M8Y5/icvM5LT5W18Zb120AiVO0qF+P/cH19Kiw8mPjKQr18rRiflchnzZ7hGA7lHjNwZ2KUHYHKMAVpyaTpxiaEc3VuJX4CamXlxNNR0smB5GiaDhb3bxe/dwU9Ep/fAIM/O0tz5iZQXN9NY65nu+3SrzktQRUQH0t7SR97CJNK1UejONNLW7FkXOBBBEKSidIlJw2q38vODTzif/27Fz5DL5Dy293G04VmE+4XRafKOsvZaxO/1Falrpkxkqh9JUElMCkVtYgFuQ1/TpAoq93Exly9IGmLL6cWtazJp6zKyLDeeJ14t4Ht35LPneA1vf+oa02KbxHoqs8mKQilHoZDT1mXkTxvE4cbv7Cnn/utz+O1Lx5mZEEJwfa/HficcY2LSE0L46o259OjNVDX2kJsxsiaCflQDCvQXakXxdMkgvk+DmYC6d+nZbHaa6rs57Bh+7RegIiEljBu+6Jrxl+qwc1CpFGTnxFB6tpny4hYAsmZ7jn+Ry2Xc9CVxyHVlSSsfvVPoXHdgZxmFBXV87ZGVyOVyejrFqNiilWno+8SC+ZKzTay8Mhu1RokgCBj0FnAbH9np6FiUIlQS40VjXzPHm06yNmWVV43T++VbPZ7/aN+vnY91HWUe62IDYnh04YM8sufnAHwh61qWToEi9IFINVQSk8pk3mGU1HQ6H1+1NOUzdWG5akkqX7pSS0ZCCM/8YDXpCaHEDpjtNxmCymS00FTfzX+f3M8mR3H5/9zMOFs6jfz2JdFXptNHIXZDuTh7Lskxdic4QD1qMQVi00F/ZC8vM9JZUzUUX/zmEufjlEwxrXrmeB2njtQAUHCgivdfPeksDFcNE/3L1HoOx45PCh1027TsSI/XP3W0FptNoKaiA6vF5ixaV2uUhLq5t7/zcgEAe7aX8r+nDlBYIArS3m4jG549OvQblpC4CAxWA38t+Ddbzu/gk5q92AU7XaYe5/qTLeINwk+XPEJGaJrPYyxPWMxvl/+Enyx+GD+lH49f8hgPz/8Wa1NWTbnoFEgRqouivreRgw1HuTHzahTyqZE6mW7Ih9H0/Z1K4/Hj2VUg1p2EB2u4eVXGmB9/qtGf5urHZpvYsSclZ5vYuemc83lDTRflxc2YHbYOuRkRFDqG9QIEKBXgsEiwRfqjaHMVZaclDV0bNBIeuCmX2uY+ctLDR7R9SJg/l6zJIDou2DlC5uRhUUzFxAdz1m0EEAwf+XEf93LdHUM3NchkMkLC/JmzINE5zBngTEEd5043eG2bkhFBdUU7Ha16Njx7xNlBuPXdM3z5gUtodTN+bW8ZOjUoIXEhnGw560zPfVj5MR9WfgzA3bPvYE7ULNqNHcwMzyY+MJbv5t/Pzuo9bKr4CICbsq5hZng2ScGeJslR/pFE+btuoARB4HxTD+db+/BXK1g6Y3LrQiVBdRH88fg/MNvMJAbFszR+4WSfzrRkuJql98q3sKN6N0+s+PmYz2nqdqRG/vitZZ+p6NRgDHR/749QNbT1ERsRMO71Y/XVnV7Ltr9XhCXSD41KwdVLUp2CSgloHOd3Gjumtj4WOcS3TAYZA6I7F0JUqD9RoaObxTfPYRBaoWv1WP7eqyedj6+7I4+je88PWxAemxBC5sxoZs+LJ2mIRgLP10/2EFQ1bgJ00co05+NV62bwyr8PAXiM5zHoLZw71YDazeYjOHTy280lpjc95l4UMjGo0GfR02nq5JVzb/rc9n9FG7guYz3gGmaskitZn7aW+TFz0Cj8CNUMXRe68eB5Tle20dyqx6R3NarYbs5l+SSKKklQXQRmm3hBNljHdzzEZxm5bOgI1Y7q3QDU9TaMea1Vr0Ecgvx5EFMA6fEh3Hv1LPaerqe0tgubXWDj7nI+PFjFN2/IYfGs2OEPchEYHAJ2IFFtRvRBSmamhvP4vYvp6jLw6btFKByCyjJg+y9/+xJnl9xkERXrW9zHJYWQlBYxIoGkUMq58sacUb1uUIgfa67W8skWbxNQdyPP4FA/vvnYpTz9+93OZf377d1eyvLLxFE7MfHBXHHDyG1CJCQGYrQa+c3hPzujUQNZFr+IAw2e6eX+SNT8GM/IbEyA7xslq81OU7uBLr2JzcdrKC5p89omIMafeSO8MRkvJEE1BghMf7PEyWI4QdWPRjF859ZoEASBtm6Dhwnk54EVefGU1XU6BdWHB8XZdsVVHeMuqPR9ZuQKGbfdu5D9O8rIXZjEVod3UpxJTPslxwRRcaLeKaYA7Ihp2ZjYYGw9ZgKCfM9ZnEj6a6gGkj3OnyHAzLx4VGol298761ym1igJi/CskXNPk99yzwKPG4f9O8Wi34Ur0ggZZBC4hMRI+Oep532KqQi/cH51yQ+RyWTcrr0JpVzJLw48QatRjKrGBcbib49ma0ENdqCkrouQIDXXLUwh1F+JRqlkf1kLequVN7eWYHPzdpNrFMRnhrEuL5GlKRFY7AIaqwW5enIljSSoxgC7MLG1KJ8lZMgw28yoFd4XSXenZ6vd6rX+Ymho02Mw2ZiTMbZpxOlAvwu80ez6TD89Wc+dl2d7FGdbrHbe2VNOVKg/l/nogLTZ7fzljVNcvjCJ/OyhU3AGvZnWpl6CQjSERwZy7e1zeXmbDh12tMhRW+zs3HyO9Owoik83YEWgHMFZYffnB5Zf/BsfQwKDNNz05XzOnqinxGHpMDMvjlnz4ofZc2xQKF3iaGZeHPMWJ/vcbuUV2ej7zETHBSMIAgnJodTXuFrRAwYZAi4hMRLqehuo6BJvyp5Y8XP21x9mU8U2AL486zYOVraiVMg539LLudI2suNuQrAcwBpYT3Drlfz4k0Nex9x/WKxtVfgpsBldIkrhp0AdqEKtUvDQDbmkhbvmqBpPn6Dsn0+S/KOf4Z8xefWwkqAaA0Yy4kHCNy+de4MNJe/ygwUPOvPp/fRZXbUfVmHsBJXJYuOnz4kmiUOZYH5WkctlqBDH0rjz5w0n+eGXXK3If3z9BGUO76rlc+LwG3D3997eSs5VdXCuqoN/fX+V13p3ThyqwW4XyJ3vGjpdUNpCN9CMQAwySgqbnOIkNjmMEzWiI/nXR+FcP5HEJYbS3WmkpLCJ1MxI1lw9cQavCoUrsnvpeu2gaevcBa7PWyaTcd9DK/n1/212LgsJk+qnPu/oLXoa+prJDEsbdluj1ciBhqNY7VaWJSxmd604eeHu2XegsGtYGrkcizEIo1nDU2820ddR5bF/VVUnkAqk0ohoF6IJURMdHYjeYKHdzSbFXUwlp4by89vzBx0J1rFtKwgCduPg0wQmAklQjQFSyu/iMNvMfHR+J/fmftFjucHiqk0bywjVjmNiZ5ZGpWBF3sREFKYStm4j85BThZ1mYHZaOEXnOyip7WLv6XpW5iVQ1djjFFMArV1GkqI9o3nHdS3Ox1sOVXPN0lT+/OZJLBYb189JQKOSgyDW6Zw+WkNQiIacfLFr51xVB129Yk1Vj0NQuZM/P5GPHIJKO0xx92SSPTsGuVzsqptI+gva5yxMGlUNoEwm4wt3z6fgQDUrrsz26DSU+HyyuXI7u2sPcIf2JpbFL6bN2AFWf3775il6Wo2EZSjoa1UQFN+GNfQoFgvIVGanj5S9eQEv6Qzou/e6nHJxpQCVfgrsgGCxIwwwwr3tupmsz3F18m0rrOdgURP1dd1o/JV8+/pcZiUMbicCYO3qxFAqDh5XRV18s8rFMKSg0mq1KuAFIA3QAL8BioAXET+6QuABnU5n12q1vwCuAazA93Q63ZHxO+2phRShunj0Vs87C4vNQmW36+7GarcN3OWCKK/vYqPDePHRu/KnpJfJeGPrNgGQgoxmBK5blkaRY3jvf7cUkxEbzOlyzy62tgGCqr3bSGO7K4K4+cB5Nh84D0AccKjJZczn569CEMSRKUqHN9PBwkYALpufxOy0cKLVSopO1jtNLjNmRDErNZy2LuOInM8nC5lM5lEMPlGoNcpRF7T3ExMfwvov5I7xGUlMdQRB8Pn3rrhd/K2+V7aFbRX7aS2dg7lF5RRHnRU2wEZHdzCwFgC5RoZgtyNY+o9nQqaUI9jszv0WLEhg9aw4ctwsTgxWGy1GM+dqO1mYEkFkgOdve11uAutyPa0ShsPWK4o3VVQ06pipbZvwJaBNp9N9WavVRgIngJPAT3U63adarfZp4AatVlsFXAosAZKBjcCicTzvSeV40ymPiIkUobp4bAPq0HbW7HHm4mHsIlQVdaIBYkZCCOnxIWNyzOmCIAicL21DsIiftQwZIBAWrOGxu/L5/WsnCAc++K9orJmEjNVXZvPK9hKqm3qQWewYOw0kJYXy9pun0QBBIRraHAKtn4gB0SajwUJ0XDDJ6WIU51RZK/vOiN5Jt1+WhdKRvkpMDWNmXjsRUYEoFHIeuX0eAr4vAhKfTQRBoLa3noTAOMnbb4zQWwxsLNvEkcYCQtUhfHHWLfQoothTcYxLEhbR1teFYJdjsAj0Vs3D0i4HGagiQKawIlhl2PRq7G5F4YJNhmB1/S6/eHMOl2ZFgwA/fuUo2clhfH2t1utc/JUKUoL8SZk5do0QgkWMdAflzx+zY14owwmqt4C33Z5bgQVAfy/uVuBKQAds1+l0AlCt1WqVWq02Wqdzywl8hnjh7Ksez6Wi9IvHLnhGoE61FHo8t4yBoOozWiipFb2Q1i1OuejjTSdMRis7N5+j9KznkN97l6fTWdtN4Yk67liUTKHbkN14ZCydHcsr20t4d28lecjQIOM4oAKSkXHl2mxee6+QZGTUI3D5wmQqjtUxkBVXZCEIAgUlLfzzXfH/dmlOrFNMQb8hpcu0T0xlSWLq88TJlkKeK3yZlYmXcIf2psk+nWmPIAj8+8SHnG9WYbFE0yo38+SBN7G35iCzq/lAsQNLwxqPfdRBKn5992Issg46TF3MjpgBwNaSRhrb9KydFY+/WsHT24vpMVq4dVk6S1Jdv9s/3L2EicRuFgWVTD35DRZDCiqdTtcLoNVqgxGF1U+BPzmEE0APEAqEAO7GEP3LP5OCaiBjlY76PFPWWYnFZkGlEGs6QtSexm4mi5nS2k5iwgMIHWVnUlevie1HqjlQ2Eh1s1j0OB2HIF8Mm9865SWmAM7sd6VVm+t78EeGHQG5Q8hYDBbmqpSUWaxoBogbM5AVH0K2oxcvA5mHmCrBTiAylmdHERkbxF/fOuXhhL5izuevfk1iaMo6xXT8saaTkqAaAXbBTkNfE/GBsU4LGrtgp6SjnEBVAO+eKeHsnv76vnwfR/CMFPmHafjxnfOJDtYAcR6NQldrPX+vv7hp7hi+kwtHsIhOdTLV5NcDDluUrtVqk4F3gX/pdLrXtFrtH9xWBwOdQLfj8cDlQxIeHoByBDO0Lpbo6KFdVy/4uIGRtPS10W3vGrfXGAum8rm5c7rnNOuzVwMQFRzuIdELq9t4eX8BUaF+/Pfn60Z13MefO8Sxc00eyzT+qin7uQh2gbMn6zl28DwrLssmPSuK8+VtZMyIGlX668AnYm3EsjVZzrEoianhrLshhxee3Dfofo1AhEqOn8VO+blW1BY7s32MCAoK0XDWLaLlzvqbcrGda6SguJnZl2byrT/vZuDowMAgvwn/P5iq/+cTyVT+DPxqxIuiXC4b1/Ocyp/BaNhUvIOXT23kttxrifAPp93QyRtnPkTWvgS7PgRrhxLwfcMfGO2PxWInKEjN/dflEB3sx4zYoQvApyK174iO7CFRoaP6fx2P78BwRemxwHbgQZ1Ot9Ox+IRWq12t0+k+Ba4CPgHKgD9otdo/AUmAXKcbMJvBBx0d+uE2uWiio4NpaekZfsMLIMYvmpa+Nirba8ftNS6W8Xz/Y01LZyfbzu7nZPMZzjXUg5vWbmrvAYJo7TKO6v30GS2cLhUDpeHBGnr0FhKjAtEmhEzJz6W3x8TL/zzofP5axWHnXDaAbzy6CvkgrcPu9PWa2LFZnJtXUyUWnEdGB3LNbXNQKOT4+aswGlwe5EEhGnr7i9WzI5kV6s+ZY3Uc3lMx6GsEdps5fUwUVDNyYinXtbBoRRpzFycjl8uY1WukoLiZN7YXO8VUkL+Ku67IZvuRGmJD1BP6fzCdfgvjxVT/DAwGh5u+nXE7z6nwGVhtNg6XtLBhVxm52mjKqjtpa3Z1xqn8ldhsdpRqBcFhfvzq9vm8faASq8VGekwwc9IiCPBTskW3C4A3CzcjCDJoWYHx/JVur2RDEQD/+c5q5DI59T0GCqra+dKqbDrbva+/k/25jAZbby/Nr72CvqoaAHty1ojP/2K+A0MJseEiVD8GwoGfabXanzmWPQQ8qdVq1cA54G2dTmfTarV7gYOAHHjggs50mqGUix9fs/5zkdkcE5o7DUMM5ZXxfOEr4sMBgUuTzXXx/87f9qBNCcdksXHtJaloU3wPt91+tIYNO0sBuHV1JlctTb3Y0x93Whu9f+TVbmkyfa+ZoBDf3kGCIFCha0FX2ER4pMs1W3dG7KibNTfe6V90230Lqavq5MDOMgx6C4tWphMQqKKz3UDewiR6e0yc8VEL1Rmihm4TYW7pv/nLUliyKoPVV2s9/JHmOKwEih0z/HLSwvn6dTmEBKpZOtvTc0xi+mO0WDlY2cr8lEiCNUpnWt1ss6OU4XEj0Ge0YDBbiQrxTDl9HhqmzVYbjzx7iL4u8QbmsI/fmcUg1oyazXbaei088GfXCKG9btupIucjWBUoE4uhNwVjtWh2qfRT4B9pwWi2MHN2mzMdmBDsT0JuIirF9C34F6xWav/yRwwlrvFLyT/8CZrExCH2mhiGq6F6CFFADeRSH9v+EvjlmJzVNKF/lp9UlD4yBEHgh0+L0Rf/xd7rh0pm9RhdnlR9RisFJaKIPXe+g+ceW+O1fVltl1NMyWRw5SBO0lMJq9VGYYH4xzUkzI91N+XwlqPjrp/OdgMBQWqfUSrdmUbnjLeqMu9ZVxkzXR4tgUEaZuTEMiMnFn2viQDHCJ4Uh8lwULCGtOxIzpe2ceWNs7HZBFQqBW8dq6a028h8d0F1iShU3cUUQEx4AIlRgdS1infe37wxl0DJ92hSEAQB+xBqxW63s6+shff3VtKrN2M12bh8ZRpX5SXyx3dPs3J2HOvnJWGy2Hjr0HlqW3o5X9OF2eDdLPKy49/IlBDsMoGOKvEmYdXSZO5Znc0nRQ28/IEYPU3LCCc4SE1osAa1Sk6VRezCHU0vwh5dEycq27h7VRah/io6TVZKWrqp7zBwfW4iinGa1Vnd1ktVSx85iaFEBHve5ByobOFIaSuVdV1Ehvnz8PrZ/GtrEfMyItm4qwyrWbxmKPwUZGZG0NDWjTW4CYLPIsj7kOkTsZv9sbenYmkfXPxY2sTfk7XLZX6rSenkD7dcicFqpKGvibyo9ePw7iePjp0fe4ip8HXr8c8a2zmvF4pk7HkRWOyuqIkgCOg6ysgOy5DafQfh+DBNn8cbz3ots9Rko0ouRSO3MAsZxQi4N+kH+iux2wXkchkV9d385qVjxIb7O80OZySH8YuvX4JJb/I69lSisqSVj95xdTZeul5LVGwwyenh1FR2OJdv2nCK2fPiuXS9d0tyhY/PNyYhmOZ68YIWOMjcwoBBlq+/ORe7XfAQSsYDldgAmwwUAmhzY1GpBv++z82KcgoqSUyNL4IgsPl0Hacr2mjvNZEQHcg9q7J5fU8Zp4tasFlt/OjeJUT5KQkL0lDZ3ENqVBC9Jgv/2HqOsgEDZz/+pJKPP6kE4M3qbt78qGRU59NW3e3xfM+hGvYcqvFYdr6iw+O5KrUbZWy/pcfQnKxu58nXTjqff/9kI3KNwqO9f9uBKvJzYkgOD6ShuZ1Og5Hf3b16VO+jH0EQeH6HDqtdoL3XRFmpK3IsV8jwC1ITHKIhLSGEw4ddtYU9TXoe0olxJZ3bZ/z4N5ZwXn+ad0o3YA10XUtkAEE1yAFZUB12yyXI5Co0KTXY/cvwM+kJa4unUchDEFSEhFloLhJ/g6kzgrlsSQDB6iCC1UHEBEQN/75sNuwGA4qg6TGGq/vAfgCib7sDmcaPsEtXT+4JuSEJqovAYnPdnW2q2Ma2ql3cnHUtl6WsmsSzmrr0D+IdjDp9jdcya2siquRS1H59qJGRh4y8a8RRG/8r2ERfXzB/eK2Ah2+bx29fFkepNHW4TEIfuyufkEA1LVNUUAmCwOE9lZw4WO1cFhkdSEy8mKe/9naxk6aqrI0tb4uDhItONngJqr5eE1Xl7SiUcu66fzHlxS3MzIunuaGbzW+c5rrbRt+RI5PJUCg8L2wZCSGcb+whb102KUEap7fUYFy9NJWK+i6uWDT1I4TTlZKmbj46UUtRWRvmXteFuaOulx+c9GzG+H+OkUu3rp/BWz4EknZWFKtz4/nP22cYzl4vLDYQlVpOS00PcqWca1dncMOCZE5UtdPVa+atXWUY9Rai4wIJi/CntMhVVhuVEIRcLqO5dmCKe2Q5v7N1nR5iqh93MQVg7jRxeH8Nh92WbT9dyvyEkXWYWux2NhbUsO9wDfoe86Db2W0C+i4T+i4TTTWikAwIUaNNDedkUbOXQ3j+ggRqDGfZoHvXueyylFVckbKaVkMbCUHxdBo72VDyHmWKj1lV0Iv1HATr7cyoNgGtwBnqYzXkPPo4O2IMHC5s5L41OSSFew7JHgrBbqf0G/cBkPLTX+CXlj7ifZ3v3WTC2t6GOn50hpwXgqGiAnNdLUH5Cwi/cupF3iRBdRG4R6i2VYnFgc2GYWvxP5cIgkBDuxipyE4KxXdv2MCdZGDRIFhVmPxdf3jDrHa0c2N5pakUBVByJIaiqnYEQbRD6E9tRIf5TUlTyIaaTqor28mYEU1DTZeHmLr7O8t8DqxNyYxgRk4sJWfFC+TG/x1n/rJUGmq6WLo6nQM7xY6+mXlxBIX4MdeR4kxOj+CrDy0nOSViTApOb1+bRV5mFLkZESOyngjwU/LoXZNvuDfVEATRDtj9M7TZ7OwubeZwcTPNrX1ogtT4B6npatVzxdxErsr3HFBts9v5vxcO09XqOWUgUd5FlzyAXqsrIrjWcpa9IXOwGMRUky8xlZEVwWM35AEw5+FVPPiXPQB87aZctpyqpaPbxMp58Vw3N4kApWLQ39b8NNGTaHWOWCcnk8noMph50n6O6qoubEYr37hqFskRAewubmJ5dgwquQybXeChjd5R6qO17WRGBhHhr6auo4/fv3mK3g5XCcADd+ZxumsXe7eI0Zgbrsii2LAb3YFE8FGN8Y+XzvGzr2lIj4qgz6Ln36deYGFsPquTPQdwbyuq541NxYNqPP+sDog4zBzVXRw71uUh5sKjA/jzfUsB6F07g9ePnufgAfGG8YrV6dy5NJ13Sl0zFa/PWM/a5JWoFCqC1WKkKDYwhi/NvJWPd77A3NIzPs8hocmEX1kNdy5dxJ1LfYshu8lE26b36T6wD3VcPBFXX0PYwjwaX3wBu1spReu7G0l6+P98v9khqPnjE5jOVxKyYiXRt92BIiBw+J18MJiTO4Cppoaqx3/mfB6yfMUFvcZ4Iwmqi8Bk875jCddMv7bTiaC924TZYic/O4p1i1P4e+nw+8hGNrhmAAAgAElEQVQEOSADfTC2kHasSjPGgG4+3W7DnNjuse1TG8U/ODetSqexTc/hc83jWoTe2tRDRHTQqOao9XPiUA1V5W0UHHAJKY2fklvuWeBTTIF4UbrsulmEhvtzdN95mht6+GijmCKMSwyhoqSV0Ah/VlzuXUvg5z92qTaVUkFeZuTwG37OsQsCVrtAfZeB05XtnG/o5nRxC3ar5xU+PSuCH92cR4/Rym9fL6C9xa3zyk0ovdVYwlvbS0hPC+dLa7NIjQzkp68ed4qp3LxY1s1NJPbcUdo3vA/A32d+EYNVTAXl1hYSHNvH+wE+iheBr906h2WZrhq7ALWSZ36wGovVhr9GxTLt6Ed6uF8cQ/3V/OxG7yjpFW5z3FSAzJE97tFb+OcnOoqqOjA06kEG//7+Kn7+7GHcS1b9Mtt5ofwPjsf5aBQqtnf9AwD/hWewlq/B0iamtOPm6WktC8baa+OdgjIeuXIxtT31VHZXU9ldzcK4eQSpRDGw9Uwdb33oqtPRJPegCDaBuhVUHSAoscvakAGXzFTyzZWusuIuvYlQt5EqQf4qvrYyi6OnG7H2WshJDqfL1M3OGlGw/mzJI8QFxnp9NrbeXvT/epr5bvVCAIrgYEKWrRAHAjO8/1L9P59EXyQKVUN3N3UlOrzL4EF/tpCG559BrvGj61MxQBB7z32ErljpsZ2hvAxLczPBSy/BUKLDdF5MC3fv24upuprkR3+ETa+n72QBxvPn6T6wj8SH/4/AnMHHHfWdLaTur38CQBUbS9Ijj6GKcEW/2za/73wcvHgJQfN8eWpNPpKgugj0Vu+2U4ujG61J38LfC/7DXTO/QG7UrIk+tRFjsdpRKmTjHsk5eFbsNJuTGUlaXDCMRFDZZSxCzjmzBhtQPG8nyAUCesIpKnTVXvjN34FgCsBSl8m87CUkLA3gzstnEOA3Pl/vsnPNfPx+EVGxQVx+/WzCIvwH/fx6u42cPFJDVEwQM/PiaW3qobmh22u76+6YS0jY8OMYZuTGcnTfeY9ljXVd2G0C8YmhFyTwJMYOQRDYW97Chh2lGDuHTzNXlrXz7b/vxeqIbihUchbOiUOllLPvSC0qjQJLf+RDgMrKDn79/FHSsyJoqhMjjl+6YTZrZ8WhP1dE7QZxikPa//sD3/zJj/nnjDtQygXiliwi4MA+ZEmAHQqjZnBD4Ra2zbyMrEsv8RBT/SgVcg8n+4lAqVKIASFBxvHDbpd9AR559pBTTOXPTyAttYeP6j5ybiKLPMHAW9z0uTpqejpJCZzNd/KvYWtsCR9u6+BsQS9vJ+4hLSIcW+0KZCojbYZ2uvQyfvHCUY9okya9AXn0KWegalbEDDQKDaEaLbtrD3jdWIcGaGg1tLOn7gCrk5YT4ReOTCbjN/cs4kRtB3mJYTx14ln8jXayakxolnnXMNqNRmr/8kdM1a4yieg77sLcUE/UzbeiCAxEplbTvul97Aaj1/6W1hZsfX0oQ8OcYgpAHhCIXe9mzxAXh9zPH/+MTDp37aDn4AGP4zS9+DxNLz5P7D33ErxkKZ0fb6f1HXF4SuenuzDVVHtsb6quouzBb3qdT91f/0TsV+8jZMklyJTef5e79u5xnXtTE61vbSD+G99GsNtpfP4Zeo8fQx4QSOZfn0Q2hTsUJUE1StwHIRus3l/kwrZirstcz9bKHXSZu3mz5L0pKagsVjubHANtv3r1TDITQtl9sp6rL0kdtRP5cOw5Vc87eypQyGUszI6ms7UPQRC772Q2OQmtV2NS1GOzd4NMRmdkOYLc7ohQQbjFn1YAufjZ64M9C1llSisyZTf+mUUkRt0JMG5iCuDUETF039rUy4Znj5CaGcHVt+Z5bGO326mr6mTzG6ddywSBAzvLsZjFP9az8xPIzRfv0CNjRlYQ6i66UrMiqSpr49QRMYEam/T5mk04kZgsNrr0ZmJCB7b5C/SarHxS3Ig2IZSnPyyiq2nAjZZchl+QiiXzEiiv6yLAX0l0sB9qpZxP9lY5xVRgqJpHoxqIykjEWFnBirLXCcyfjz0+infC53LqhKseqrJMjNDOzIlm7Swxtdb2wXviy/n5oY6JYfZf/sp3vy82acc9+wKa5GR443UALsnLoLMIri3aRvKNrlEhQ6VdJoIAfyV9g6zTd4vC5earZnDt3CRePfUa4V1WOkKVhGlC6TR1AbA4bj5rhAxUBwoImJ1L9/G9qKK6qH3uAbICgiDhZgC2bLIiDvMIAoJ4bW8dFWXl2E2uEJjfwh3I5FYyQtNYl7oGs93C/Bjxt36ksYDdHGBH9W4Wx4lp7cquavRWA/869TwAO6v38ODcr6GNyKK69xyrs3M42HCM3nNnuX+XaCfSUfkblLfegbWjA2tHGx3bXCLRncDcPMIvd3lMaRJEm4DGZ59GplIRNHcegs1G3d/+7NEFBxCQm0fCtx9EJpdjbm4iLjOZDoNntFQVF0fLa6JtTeiq1ZibmzAUi92YTS++QNOLL3hsbywXywxC16zFLzUddUIiNf/vV67znTsPZVg4Xbs/EY/x3+extLYSdYOnA765pZneY0cACF6ylJ7Dh+g5eoToO+6iZcNr9BwV18V88ctTWkyBJKhGzXAWCf1/ihSO2PXAob9Thec/LOLIOXEUycbdFXT3iX+sPj5Ww00r01kzP4maph7S4kPw14hfk+4+MwfPNpKTFkHSCAVAS6eBF7cWAxAT7k/hsVoKDlYhc2QeQnq19GbFA/HIbHYEhZz4ukXUB7+G3C4KKqXZdxeaF0rL8NuMASajZ6t4VXk7dVUdJKa6/LCO76/i2H7PIvzdWz3rVi5dN+OizuPSdTPY1HmKjlbxAj5jtnfaQGJ0GCxW/rSpkPqmXmQyGcZOE/5hGgSrHWOvhcjYQFbnJ/LR4Wr6OrxvqECMMq1ekkxOUhih/mrSY11GgIIg0PTf5+l+bx/2yGh0OTdRX28kPjmEu3Y/jcFupWbbh87t+04UAHAV21kP/HXefR6F5w9fmkLTyy8Ssf4aDKXi9yvx+4+K5xEcTObjvwabKNjC1lyG7Xw5mvyFBC9cjNzfn7Z3N2Lr6cZuMdP0wnP0HD1C2GVXEH3r7T4jCSP6DMvLMNfXEbrSy11nWIIDVPS5/bx+9fUlJEUG8vaxKrbsKAfgckdtVsLuIhadFoVl3M+/iT02kr4DBzG/vAtjy0cYgZ7Dh8RzcggMf30vwQkmeuq9/6aUnnEJYXW0CXnsOf4/e2ceXkdZt//PzNn35CQne5pmbZom6d4ChW6UXRBkFRFEEeVVQEURffV1QVFBVEDEF5BNAVnKWgq0pS2l+0K6ZG3TLM2+J2ffZub3xyTn5DTphoC+P72vi6ucmWeeWTLzPPfzXe6vIKoXc8fc/5rQ3qJTg787vF14wz5+tesPMVI3Hk/UPEumJYPDI6prDEXh1g3xQiLR/n66HvnjxP5nzSbtmmsZXP0W1jlz0GckardZKmeiSUpCGh6m608PTTg+Bo2G7Ftvj5ERQ1Y2WqsFAokxlY5FZxFqacZSOQvbvPkAhDra6fzTQ0R64mQ+9YqrSFp2Nh0P/QGtw6FazEzqQiPzlm/S9cgf0aW6yPrGbQiiSOrlV9D5xwcJHGzAs3MHyeecR7CpEc/u3bi3fBATH3N+5mJSL70crSOJoTXv0HTHtxKuzzZ/cnf1vxL+Q6hOEfIJslCio0V+9RrVyhOeJM7q00YoIvG/r9cwuySV08oy6Oj3xsgUECNTY3j1g2b2HOzjSI8Xi1HLb7+xCINOwx9e2kfLOOFJi1HLd66eRX6mnU37OtnwYQf/ff3cBDfB2l1tFCPgQaFQgqptR1CEOMnU6QoZmx6U0eN82RYKDlxOT7rqx9eHTq4y+aelBybLClqdSEl5BrVVakmXN57fx2VfnE1Pp5ut7x2ecIzFqsfn/XjehUs+P5PeLg8Wm4GrvjyP/713EzaHEe1x5Av+XeEJRvjL2gbqR8VRFQUiwSg6k5ZlC3K45vQCZFnmgXfrObCve9I+AuNcdwM9PlYeRz6gsNjJXZdVojmGmr0SieDeqpb9EQf6uH7To+qOxhPfiwBc2v4eLyapWcS3X1pI86gFauT9jbF2upR4jNuYFQNA0GqZ/sPvx5ITxghT50N/SDjP8HtrGX5vLY5ly0n/wvUnvrBxkMNh2n/7G5RIBG1SMpaKyhMfNA7pdiPdgyBqRJ64a3ls+8WzcthV30taihnj6HWnNcT/Xt0//zk5d9zJ0NoNRPom1qwcjzs7dvEzx1Ki7jhzEzRCLBPPNKMeLC2xfd+ec8uk/ZQmF5NhTqPb38v3N/9swv7vzv0mq5repX7oUJxMARWNgTFj+6RwLFlKymc/h8ZqRRBF0q//0qTtRIOBgvt+z/C6NfSNWh7HkP6lr9DzlGolMxWXnJRlRzQYyPjyVxO2GbJzyP/lb5D8fiSvF21yEqJOndtyv/v9CX3Y5s7D+Jv70dhsCKPfgMZsIffOH9B+/33462o4fNtEcmqePoOUS1TLVernriA6NEioowN9ZiaOs5ZgLpsR6+9fGf8hVKeIE03aYzFU2lEtqjGC9c/Eb/9exeEON3sb+/nbmoNERgNjr15eRHOXO0aupqRZY8WDj/So//qCUf62poFrV5QkkKmxfXc/vZuvXDQ9ZoVavb2VSxap2SYdfV727GmnCJEkBELD6opeEWTEqJbMwQvw506M3QAYqHBi7f8MMIDRPzHQ3+zLxC6ejX7Qz4D9A3w2VYPJH/Fj1p182jCo2VU7trTQ1unmgvOnnTCWSZZkLFYDS84roWxmJi8/pYpvvvrXqoR2ufnJlJRnUDjNxY73m9g3ru5dbv7k6u5jGBrw09vlRhQFutrd9IUjVBakUDQ9jey85Jg1TBRFrv/G6Wh1//qDzSeFqCzz/I4W9h8eQIrKBENRwoEodpeZ4bbJMxsjgShr3m8hw2Fi1Y4jDPYkOpoqy9Ooqe9HGv1WLKkmFEnBP2qVmjk7k6IMGwsKXHiCYTLsRrSigO442W8ASvj4pHrqPfeiT4sHgCuKQrirk7Z77kYOBinob+EaSUL3pVsw/faHE44fOnsuWoeDYDSERhBjxcYng6n4+BbSkQ3rSfv8dcecyBRFofpPv8HY0Er657+Id9/emOsGwL196ykTKoNefXb2oxIpDFoNv7lufrzvbVvRhRItxd1PPEZ0SA0HyL79OwyteRfbaaczvO5dwj095N713wy9+zaeHdu55+vn8puBViIRkfsvvIZvr3kQ7141aP63F9yIN+zHE/Fg19tJNU0uDaIRNVxefDEPj7r3xkMraMh3TOGLZVfx31t+CYDNJ+ExiyzotwJepv7y1wQPH8Y6fz7+mhp0qanos7JPiTgIgkDyOefh278ff10Nrqs+j2PpMkS9Xo1xamkm/fobT7q/Y0FjNqMxn9y4Op7Qj0fa9TfQ8oM7E7YlLV9B6pVXI2g0sfsWtFoyvzaRdP1fwH8I1SniRIQqJKsD5pjL75+tor5+9xEOd8SDoCPjsoyWz8mmtsXMzrpeHFY9P/3yAt7a1sLK9+P129KdZrYc6GbLaPmSs+fmsGJeDoFQlJ8/peo+/eWtulj71z5oZkq6jbK8ZP66up68SQT6wkY/lnAJ3sKJ5UeErg9RMtV4hGCqkfRcO50d4wZOWcDZl49UdDYBIJBmwjRyHj75WZzDZezedYQ55VOPWZ4FYHjQz6vrDhLyh/nceaXsaR3gA5MEhRaCu1q44Zzjx7xJkoLeqN6XM9VCcqo55nYbQ16hk4VLCmKxUQsW56MokJFjJ68o5biTbm+Xm8d2NOHLHk0/TgbQsbd/ENeDh7jisnKypiQBEIlIGM06OlqHqdnXSVllJnn/Bll4m+p7eGtHK31d3mO2GSNTZqeRWz9Xwd7WIQ62DSEg0N3twT8c4pk34u/uGQtyWFaeSWGa6qJTLkqMJ4rKMne/vI/MVDM3Ly2OqdW7bCfpkka14ABok50U3Pc7Oh9+CG+VSshTPntZApkCdcI0ZGVT+OCf6HvxeYbXrWXqUBuOD9dwtHOppsDIuvQ2+pvXsrp5LTpRy++X/JL6oUPs6dnHFcWXML6GvamgcML1FT3yKE13fDsWuDy09l2c512Q0Ma9Yxvdj/0vAAZUVYHuvzw6oa/gaPZXuKcbbVIyouHEzykqq9/6SNjN6ua1XJh/TsJ+RZYZWvMO/S+rBXGrSs1ceevvGXxnNYNvqplg5hnlWCoqY2TOfsYilEgEUa/HOnsunh3bGfzzn/nOaaeTedPXAPjqvPP4s/IuM12lmLQmTFoTLtTvKNjcxNC6NdjPOJPuxx8l65u3YSosAqDUWczVJZfS4m5jbvosypwleCJewqML6ySDg69V3EDrlrVMWxXXzdI6nejTM9Cnq2PgP5q1lnHTzXj3fojjrCUxYpLzne8i+/3oUidftH7a0LvSyP7O9+j43X0AuK75AknLz/4/YXk6WfyHUJ0iTkSQYuVoRgVQJPmfY6Ea8oTw+MM8/LIaFH37FZU8MPr/JoOGu7+yEJ1Ww8yiVG67vJKCbDWgWT/ObXT3VxYQlRR+9tSu2LapGTbSk80EAxHOSjZTPeRnLET8zIpMNh/o4sHR86QCDkSKKtJpPNCD2aLnqq/M44OaKt7vDsacp/qIRFinQd98gDlCEeu9z2K2fgGA4tNzmSNPoe7IGgAc3jKkojMS7jXiMFHWfTEdeem8A2xZU8sPrphc+ygYCPPA7iZC+RbAwh/aexLqBrZGIuze0kzF3FxkWealJ3Zz1nkl5BfHFYdlWY65dDRakWtuWkAkLPH471Q15Cu+NBdXRmIBTa1Ow6IVRcf4a8XR3+/l4bp2ItkTtVwkk5buM9L505Fust+sRWcQGbBoEWSFgMtEKMfA9pZuzqztIS3dRm6+E6fro2nC/CvAH46ytr6b88syMWjVP9KgL8QPH98xacmTZJeZi0/LIyIrrN3VxtBQAL1Bw88/PwenzciZ07Ni7q5dLQM88vd9sWPPXjyVL5xRkNDf0aRXK4r87Kp/bOIbs1BZKioASPnspfgO7EOfmUnS2YnkISxFaPd2srZ1I2dkzafimi8QOHiQ0JHWBBffnlITW2dakUdFWFc3rwUgIke5d/eDHPGo2XKd3m6WuBdyuLeNa6ZdRu1AA447byNVm0SgoR7TtFJEnZ7CPzxEdHCA5ru+R/9LL5B87vm4t2xG0GqwzpodI1OTYd0CG0PJepYdiJDa2UPvc39jeP069V4vuZSUSy4FVOK0s7uK2WkVbGrfyvvtW1mYOZcuXzxW561JCFX/+jUMjZKp/iQNm+ZYudpgwHHWkhihMuZNTThGEAQEveqm0iYlxbZ7tm+LEaqK1DL+cG7xBIue5PXS9+LfCRw6GIvHavvVLxBNJvRZ2ZiKS1i48DQWl8XHJLvehqIohDo78H64B8ee3Uw7Khsu+SiS+o9C63CQtCSxBJfGbPnImlCfFCxlMyh5/Kl/9mV8YvgPoTpFnJhQRVAUJUaklJNU/j3xeRUkSUan1SDJMv0jQawmXaychyTLvLWtlQ0fdmA16+joi7swTpuRzsyiVEwGDYGQxEPfWpwgKDhrHFk4syKT59cd4sLT8sh2qdaVOz8/m3ufryLdaWbetDT27mhj2wY1TqgIkcVXV+JKMiKKApsPdMX6co5ap6bPyOCci+JWH71Bg44swoCpx8+VU9LY8E4Dqa4pXHLjXOZ6s3hpdwe9Fge+iExZkYu89YuJ6AJEUtNiqdFRTzU6IQvF6qQjIx6Q7cmz0dnjJit9YtbbO9taCSVPXClbFfAKEHSZeIUo1esbMA6G6LFpefuVaq7+8nxGBv3kl6QSjcocbWDS6TV8+VuLcA8HJ5Cpk4HXHaS6upv13UNEctXnXmI1UZlqQxQEKlJsPFnXTpMviGzQ0LZg8lVnxK5ngx00QR+GbYNckp9GqsPEe2/Vk1fgpLa6mx5/iBSTnqx0G3q9hpIZ6ce16H2cCISjvLO/g0FfmJpD/Qz3B0jJsHDZWQUJqfs9niC/fLEKb1+AN9c2UjQ1mZw0K+vHBfqn5dgQFAgEo9x11SwyxmXgnVNxfNXm+VNTmH3nUu58cic+T4irT5v6sd/reCiyTOhIK+7RSVnQq++gISeXwoceQRDFhDiXPv8A93/4MJ6waoHb319DWco0Zvq6GG/DeuTKVMJagdvnfI1cWw6P7HuSDm8XM1Kmsad3X4xMAbR62nhmr5qhuqUzrh1+9xk/wFlwYey3IIpoU+JjwtDbb8VS5UVL4gTdkqnnSKae2XV+9peYqClS/waHUoKkdhIjUwBD69eRcsmlBKNBvvfBT5EVmWfrX4rtX9O64YTP8dC+TYxd2ZrT7OhEdfzTOZ3YTj+DQEM91jnzjnm8Nnmiq30ss3Ey92jnnx6KBfuPhxwIEDzcSPBwI0PvrCbr1m9hnTkLUC1y7b+7j+jAxHqaoFoik48iz//B/x/4D6E6RRxdYHRe+ix298RNuQoKze4jbGzfEtu2p2cvc9NnfeRzRqISv372Q4a9Ye695XSeWl3PlmrVBfezLy/gz69X0zUQdzmNjAaZ28w6ctJsXLNcFXu85+bTURTluArXep3ATdfbqHTF3XGleck8/O3FaESB1kP9MTI1hqq3G5i1cApGs44fXjeXe/62BxHVuZDkNJGdl5TQvrdPIDyasZJSO8TutgDIqho4QLY1kxxbmF45zPqaTt5t7SM0O7HUSsizmSB1iCRj4woAhFAQxaASg40He7l2HKFqaRrg5U2NDM5QzzHHYCQnw4YvIqETBcqTrfz2QHyyPujSg0td1Q6VJfPQvhaiRg3Zu1rxpxjpden536d2cv1VszCZ1XYGow5Xhjooj8lrnEwKuiwrPL6unt5cC4ySqUUuOxfmpSUcf1NZLu2+IH+qTSzRM9ViJCBJzHE5eLtNVeqXjBr8mWZeHBkBjxvZJYJ7GKaaABPNAHIUTTiEY3UNVy/MP2EZmWPhtao23tnSQkqqGbvdwM1LS7AYtLiDEYJRiRyHGnvx4Nu17J0k8Hug28fjKw+wrjiF8qnJVOYmc/8L+wiNlvqQIzIHDw1w8ND4OminkXsKJTYmg1YU+d2omvUnif5XVzL41psJ22wL4lIF4qgw48GhRoaCIwSiQV469DpHo3aggc7TrdywSg2w3zLTQlgn4jKlUJKsWj+/M/eWGEGwHbTGxqFvzrqJP+59fNLrGwl5cBoTicb4926MTAHIPnWhZsibyr1n+ChJLqLH30tVqYd7Fv2Y7K7dvN70NvummTj9gNp2xCJiDCsYvF581QfYahv4SKEQA55ezM3dBHUCL11bxJK8M5mfHrcYZn7l5hP2oXWmkLZ8Gb3rN4AgEBkcoOXHP8Q8vUzNShu9b0WW6V/5Yiw7MO3a69BnZaNzuehf+RLevVUJ8XB9LzyPpXImSBIjH2yKkSnrnLmYSkqJ9PbEyKU+65Mv0fKPQlEUFDlE0NOC0VaAqPl4pXT+f4WgKB+PBeWjoK/P84mf3OWyfSwlN8YwFBzmR1vvif3+8cLv8veGVzg0HI87KnNOo3YwrgOyOPt0rp6WqL1xKjjQNMDvX1TdE2aDFn9oortjDOX5Ts6amUV5vhOTQRu7f0VR8HnDWKz6407yH3Rs5+8Nr1CaXMyts786Yf8jv9543Gu97pbT6B4Jsm60ztbMBTmcsbwIRVFoaRpkZ1Mf+5LUlbhucISMqngMzNmfKaWkXCVaGxt7WDM0UQATQAyFGQo/HftdePgyhqdqGNS8iyAL2BxXYxgIUilrWLGogE17O9hikhhvVsr6oIuLPzuDFJcFQRSwWA30BsK809RDvX/ydPjJUDgY5Svnqda3qn0dbK7rwYbAsEZBkeEr501nV203dquB+ZXqQLpjVxt7jgyQJgnIBpHOdje9C+J2h1umZZNrPzZZkBUFX1TihYOdFDosLMuJx0xFZJl2XwitIPBI3cTaiMeCpcPH1dOyCPjDlM9RM8O2rj9MZ9swpeUZFM9In6C47g9F+NXKfXQcmfzvBCAaNDx865m8u7+T19aoaq7JWVZyMm2E/BGcNgPbd06m26zi5zcv5JnNTTTWxgs/f/v6OVRkJR3zmGPh4x4LToTIwAD9K1/Cs1O1SunSM5A8HiIXL+NVRxsd3i5+u/jnmLRGPujYllDXDVQ31IopS0g1OXm18a3Ywq3iUICSjiivLrYiiwI/O/2uYwZOf2O9GgT8wNJ7CESD/HH/Y/T6BhKyj2+ffXOMkCmKQlSOotPoGNn8QSxTbAy6tHRSL78S3cwK7tj0Y2aklHJt6eVE5Sippvh76Al7eWLn44x0tdKfpGVOnZ8z9qsE660z7YxYNQzZtUS1ArPTKrmx7PP4owHu2vzzhPM9vPxejgy2kGxJpfHPv8dy4DC+RbOYfWNiSv2pwOWy8eF3f0Dg0EEsM2fh26c+1/xf3YfOpVpJB954Labr5Vh2Nulf+OKkfYW7u2j50Q8m3Vf44MMJLre+l/7O8Ib15P/qPrSOf25FjWN9C9HwCF11f0IZV1ZN1JgwJZXiyFyKVnfq1vd/RfwjY4HLZTvmBPofQnWKGAgM8T/bfhX7ff/iuzFqDYSlMK8dXs377VsnHDM/fQ5fmnHNRz7npn2dsSy6MaQnmxKKAE/NsHHVsiJK8xJXmg67iY72IbZtaKKxrpeLrqpgSkEKsizz3pv1NNb1ctVX5pEy6t57rXE1a49sRCtoeGDZrzgaY4Tq5u8upm5fFx+sPb7k+RVfmktqupUn1tVzOCnRIGqs3YqrK14e5rIvziY90wKCgCei8Ot98VRjRVEQPG1gn0LQvZaQ0BLbV77zQoadnbQXqQOjwxYngppAFMkUP2/SwWFsbaOrbKMWRVHQaEVu+OYZCIJAKBihpsfN2rZ+Qt4w5ToDu+3q96MJRtEEJRRRwKrXMmRU46hSDg4jAbJNjzszkdO68GAAACAASURBVAjpR8KEHerqzn7YjTYYZbjYgayfmMZcajExNzOJGckfT9X3AwMemtx+0i0G9EYdH7T2cX6ui2KHmaoBD8GoRJHDzAPVanyHIMloAhJ5dcN4zBp6R615YkjC3urB2uWnYNEUzl2Yx6t72njrKHmInFwH7W0TdXhiEGDBvGy+fnaitdEfinLPyr10jiNm00tTueOSigTl940NPfiCES6amVjT7mTxaROqlp/8iHCHmtmZdu11JC1fgazI/HDLL2KuvDx7LpcWXsAf9/4FaVxGcLY1kxtnXEvmUSVJ7tn5ezq8cbf6jxbeMaHNeBwebiEiRyh1qlZql8tGb68bb8TH9q7dvHZ4NbdU3ki6OY0na5+j1d2GgECmJZ3ry64hCxvD729g4LVXMBYVM+Wu/wZUwnTX5p8zy1XBVysmJxughkgEoyHqumuw/SxRa8m+dBmhS5bjNCTjf/FlRt7fyB+vzUAaV4Dv9ufUDOT9xSbKR+UGku76LmlFxy5jciK4XDaqfvgT/DXVCdvds4pwnrYIcdV6wu3qYiT1iqtIXnHuMTW5FFmm+a7vEh1MLIWlS3WR/+v7EtsqCko0EpMd+LQgRf2E/V3IUT9GexFSeJjuhscASJn6OSzJ8Wc52PYW3v49k/ajM6aRUfq1f3p9VEWR6a5/DFFrxJoyh4HWV9EZ03FOuRC9Oeekru+TIlT/cfmdIo42VY/JI+g1epbnLk4gVAsy5rCz+0OC0rEtHpIs0R8cJN2cGBMTGY3TURSFjVXqCv7mS8p45f0m+keC3HjhdFZta6G6aZBrzi7m3Pm5sWODgQh7dxwhrzCFVVv309Yc/9hrq7rQaEQiEYnGUbmEl5/cw83fW4wgCGgElSSMCZLW7+9iw+oGzv9cOV1tw4TsOkaKHOyq7WLhnCxyC5yIAuzd087eA92E7XqM/UEidh0WvQZXho21O1oSyFSBMcLe/pdZsXwZve8aYhlyaZlm2g/ch9FWiCPjLL6Qa2JDT5Rz8lJ5r+UlaoQGFjtWsMnTMuE5ivLkOitjZMosCMzoCdPdFo8tiwl0hiRCwShD/T42vt3A8GCAMWfhed88nQUorHxqN3pv3DI4v+sd3rvwSkacdgZKjm0tGSNTAO7CiTFdSRoRb1TmzPQkVkxJPamCwyeLihQbFSnqitLlsjHHHl8tz02NX8tluam82taPohGJWkUOz098F2WDhuGSJIZLkhjqGOHFezcm7L/5ygoWFqSqRXD9Ye59ZT+hYJTB8ZmPIlx7yXRWlGZOuE6zQcsvrlXjXgY9IaxGbUJyxBiWTvu/JVw6lsI/9Ze/QXCp1htvxIcn7KUkuYiBwACt7jYeqFIz5JblnjmaiXdsLMs9i7/VqUHZs1wVxyVTAIVJUydsEwQBm94aixnqDwzyt/qXYiRPQaHT182vd/2BG8quYaX9Q+adW8KKc29S9ysK7x1RS4XoxONPIaIgYtaZmJMzl3U//hJJz6zC0aq6pd0bN6CtPkBXf7ygfPJQiP7kuCV00K7B6ZaoPBTg4BQDKSNRSv4BMjUG5/kX0u7pJOR3k9mvftdPlrnB/Ta3t6vjomi2kHzu+cfNQhNEkfzf3M/Qu28z8ObriCYTulQX2d+8fWJbQUD4lMlUyNdGz8Enj7l/oPV1UGQCIwfxD9cCIGqtpBd9Ee/Ah1hSZqFIYXoOPUkk2EvQ3YjJMbFe6KeJ4c71RIJq8kLIq4ZpRII99Bx8kvTiL2GwTvmnXdu/DaE60F/LEzXPcdf82yeQl1OBfFT58jF5BACHPtEcOietUiVUk5SoGcNf615iV4+qhnzPoh/hMNgJRSR+9NgOBtxBdFqRSFSmKMfBwunpVBSkEInKJFkN3JpZyaH2YUpyHQz0erEniWh1Bj7cdoR9O9uo2j7R5dN8qJ/mQ/2UVsRjpGRZofPIMNl5yYijhEpBwT0cYMPqBiwWP+++uh9J1DA430XUouONkJ/9q6pZWJzGyu4BonYdLEqUQRDDEk+s3EdjjgkUuCjdycysJA4O1VLV50UURPQGLYKgkJZpoatWNTUHRuoJjNRjA745+38AKJ55A76In6rexKrr2dZMVlwynTfXxa0bIc9mrMoCbEe8DJY7MQUkXDt78VvVwcxiM+DzJNZZe/KBLRyN5CQ9nT/8Dorfx8LsSqpMc3AEeplt60Hj6+ac1U/x8nW3Jd6zonBrRR5Og45f7znMmA3RoREZkWRSNRrsGg3nFKShAFNtJuQTxLV9UghHJYZ8Ybp7fBg8EUI2HbGaQIC7YQh/h5ekUifGLJWM+bItUK8SdFuKiTuvnEl2Utwq5zDr+eV1KjnyByP8z9/2gF7kl9fOwXASytvOU5Ag+DQRjAaRFDmmjn0iHHntRWS/j0iKg2/X3A+ATtQRGXWlZFszuKHs6phGUbo5jfPylh+zvzGcnjmPvb0HODzSwvVlV3/Eu1FhENXvYXy81lcrrqciZTq3bVTdWE/X/h2Ajal+8oLtWAYG+Uv132L16+adZGyoIAick7cU/xVpdD/9BLY58xha8w7RcWQKQDnqO3htWRIXf+DB4ovw9pmqm+z0j3Cv47G/u46WJD9/O1MLOHlo6a9p/v53J7Qr/N0DJ5XSLwgCzvMvxHn+hSds+2nDN1Rz/AaKxEDrawmbnLkXoDO5SM45L7YtJe8yBlpfJeBuxGDN+0RiqqSon6CnGXPSdARh4nNXFIWgpwlP70QvkCAaMDmK0ZkmSvF8mvi3IVTP1r1MWAqzrnUjS3PPZFP7Vi4rugij9tSym462UI03L2pFLQJCLLPPqDFi0OgJRIN0+XrIMMeDjGVFpsPbFSNTAG81r+Ha0itYu6uNAbdKwsZ0o775uQoEQYhl9QHotCLTcpNY9cJ+hvq6WLJoN4PDGezfUwTj9J/OvbQMk1nPqhf3x4QKG6q7EQS45POzeP25vbzx/D5u/t5iNGKcIG58u4G01AHK5hzmQ08ZdfoiZG18f0uGkRaPGyzqNZl9UfyW+Csl6zU0TlEnoHNTHCzKS014hiIidoeGmdO2otNJSJNUjpGlMKJGjyiI2PTWmEUwWRT4UtpUUnLOx252MedICcUuM5uHt+CN1FGwZwqCrEFrdCP2+pGj8mgGnpULr6zk6YfUj7Jgmoumhr4J57VGhpm1+w2UUQLt7NjP2exPbOPzsGLV8zRe/HkumzGFXT11HOjbillzPVJ7NzdVb0K/7Bw0mZkkGY4tsPhpkilPIMzLO1rZuqcDKTLuXRZG1aKj6rubOzWJ6HAIFChymDnc7sWQo7oizQ49183LIzIU4EhVF4652ZNmCZqNOn570ycf9P1JQlEU+gOD/KX6r/QHh/j2nK+TbnahETRsbN9CtjWTkuRCgtEgBo0BT9jLB4//kuIqNfg+7POgqjURI1MGjZ7F2WeQZHDw8PJ7CUZDGDTHj20cj+umX0lUljD8g5OaeNSkdV7ecma5VOvPjxfewd077k/YP0auxuDQ2065Tql5ehkFv/4tiiwz8sH7yIEA2d/6DuayciK9vcjb7k1o77FoWHTvo9S89ARQP3mnp4hfvP9gwu+gFCLlx3fB7t8CkP2t72AsLP7IpXf+VSBLYfyD6piVkncZRnsRoKBIITJzptDRejDm+huDPe0MTI7SCX3pzapl2du/C2+/KqNjdS3Akb4IdfAQkcJudMZUECaK20oRDwgaNFoz0fAI/uE6/EM1RAI9pJfciNaYSscB9fl7rXmkTr0cjc6KIksgiMhRL4NtbxMYUd+BlKmXY3ZMw92zBa3BicVZ8XE+uo+M/9tvzCkgxeTEE/FyxNPBPTt/D0BhUn6sqOXJ4njZKYIgJMgkFDjyMGqMtHs7+cWO+xMCvbd17uK5hpVH9a3QO+TnlU1NCdtnFaViN8cHT1mWadz9F4y6LgxpX6fzyDBlpR1oNAqulC6WnjVIR/95zF0I0UAnKVNSEEQNeYUpMfKgKGBzGMkYK6grKjzz5y2kLVUHWUMghba2YaaeGeav0mVgBj1hsoROepVU/MRT1K1RhdvmFWDVaYnKMj3+EB5/hGdaVbNsmUbH0oJ40HWMUAkC5ZUBwkPx2JGUvEsTVkyyFExYDWkEDQJws8MCoT48h/+KIf8qlp5fCpTSX9PL7p69NE3fSlHNWRhaE/3kS5blEdz8HktmWLHjR25cg72jlyFzJq3JlRT17yZ3uBYRGY3djuR2YyqdHisSOgb7GYtwb91CTkcTBW88iWvePWzvfIeB4CB/P/ACSx5RNanEqg/JuPHLhFJdGHITTdGKJDGy+QOM+fkYp8RjycKSxK/frGbEHSIzxcziaelsru9hel4yR/q8lOcms6g4UQByMuzrGcFh0mGQ4fY/b8UzEmQyFY/0HBtBf5SRQdWedt3F01k+Y6Jr7v5NDQyYRK6dN4XVfi/RZC0g8/7qGr53xWw02v8bAn2Sz4fGcnL6PN/d9JOYyz55JMqWP/0c02jx3OoiE4N2DZUFC9nepYrcFrcGubAqbi19Y6mDG8quIdngwK63EZajpJqcmMYt5IzaU7PKjQVuP7z83hO0PD5mp1XwTN0Lap/zbyfXFi9Tk2FJ5/rpV7OmdQPXTLuMlY2raBuVYFiYMZcZKdMoTy37yOcWRJG8n96N5PPF3n1dWhqKOJFUVvfXYVixBKr+cUI1WcxwUAqyfyQeC2opPzV195NF3eBBsiyZOAyfTmB3+4F7QZEx2osTCYdWXeTqzZk4p3wWUAgM1xMOdGPPXDIpsdcZUyds8/btxNu3c8J2AJ0pEyniIWv6LQTcjQy0qgkXBmtezE03hv6WlURD8bCUkLeVjurfYU6uxD90AHNSGf6RehiNMTTaCjE7piGIWhyZp14v8pPEvw+hMibT4j5Cu7cztq3d03nShGrIE+Kv7zbgFwZGlatPjJ21fZi0RkbC6gBbP3SIFvcRptqncGCgdkJ7g0bP5lFF8rklLq47t4QXNzRy9lw1Pmrr+sM0NfSRN2UIJUPAI5eQvO8tigsFzKlB3pXOZIrQyXRTE8W5b/BB+zSa5FyWud+hsvIizr20jKce2krQr66UL7iiHFEUyZqXzI7R1PZD/tGgbht0pEEH8UF2ibiTQrGNkKKjWljABRVLCcsKNl18RaIVRbKtJrCauCfNTkiSMWhEQv5OehrUtO22iPraOfwthL2JGi8WZyVGezEDra8RdB9ClgLAuNgjOcLNR2XADXeuw2jNY+DI65xuz2B3DwQtHtKyLbgHQxROS2PBknxG+tx4//c+Ij3daIGxCJ8UICXQRdFA3Fqozy8g487/prZjmDZ/mDlf0GDVCgg6He5tW3EsWYqlchZdf36YDn8vuvdWk2K1McAgXYfjwa6y30fnw2rh0pw77kTyeDCXzQCNhp6nn8S7eyc1OTPozyqgbPkZBBF57vU6lFHr0VCnl9oDakxHdbX6746dHeyalUFrhxtXionvXVyBRhTo8gXZf2SIHk+IPdXd+PpUgqTRiXFrlABTi5xcfvpUitNtBMISDpNKWBt7PUiyzLSMyTOQ7FoNAyi8HfAhmeNDh7vQzlvvHeSiFSWsX93AoZoell84jdLKiaTseBjo9bJ+7UG0Cpx1Tgmp6R8tOL955Agd3k4qXTOwj7rhFVm9f8+e3XT9+WFc11x7Qi2gmoGGGJlyDUa49p2hhP3TWlW3cXfKGnJEgRGrhrJmtX3TvFxSL7uc/7Ll4jJ/Msr1siJPsDKdCvQaPV8pv46wFE4gU2NYmDmXhZlzAfj+vNt4rPqvZFsyuKjg3FM6jxT14+7+AJtrAVpDfPDUpaSiG6d3JYhirJ7neFT1HaA85dQsYcfCZKXAorKUkPU4JjvxcWIgMMgf9z6OTtTxh6W//Fj7PiZGF65JmcuO2cSaMnP03xO7bnMqv89Qx1pM9kKioWGGO9cm7Bc0RpTR7yUSUBMn+ltWEvTEDQTjyZTJUUpgpD6BTCFoYsTJP6Ra1/zDcbdldvm30fwLZxr+2xCqyeq7DQSHJmk5ObbXdrO3sR/BMoIxGTRo+dzUywEIhqOs3NjEgrI0kiPFDOnU1c5jq2qZeU4S3cSLdT6zZQvllgjNUs+Ec/QO+zmwS824uu68aTgser5yYREdXe08+t4B/A1gcEdos0lUyyozvyB9IyI6XpXPAwWalVzelxeSQS/doxKALwRTWLOumgVJDi64vJyt6w9TNN0FCjy9eRMNjuNPfEs1e5lmA4vOgX+oDYMQYS5bMGrPZmydHQ2PIAgaNLrESdCgEZGlYIxMAczXRZmZZEF/FJnKrvgeABqtCb0pfZRQxePPFFnCGB4g6ahBNxoaxD/SQGDkIGYOUq7XUh2Ocrh0O9+b902cdj2Hnn4e/64dRPri7j1Bq0U0mdFnZ2PML0CRFfw1B3h5+gXUtgbh/vdjbV8waphWlEKqw0htv4u+B7dTPD2VL/zXTTw3/AauwbWYuhXI1BMdVazWOBxIIyMoqA7Y9vvvJajTM2J0sGPKPDr1JXhmlCGFZBiEbS8nWsGuvXAaL7/fRNgXwZpsxDsUfxb796rEe6TPz2P2Q3QP+Gk/PPn7PEambrtuNmUZDvTjLEl6U9yFW5R2/IEqxaijWQrHAv3Pz3by4YCH3mCE7U4Ne96vI5Khh4xsngl5sb+4h+VZdhacefwg1khYYvvGw2wZ8uAuUcnzgQ+bWWo0UVGZRZLTdMwJrqr3AK80rqI4qYCLC86jdrCB5+pVy+/a1o389PTvM/zeOvr+/iwtDjuREXVx0/f8sxjnz6ddGqQ4uYCwFKHN08GO7t1s6dwJCqS1T8OlzcEgNnH5e8Oxc0Y1AuRmoW1RLTYZA2pQc3ZfBASB9K9+jZIFn4yrc7yFxR8NYNX9Y0rYc9JOzhojCAI3V5x8oWRFUQi6G+lvfQVFUomnp28nubN+hBz10d3wF6TICGnFN2C0xq2zGAzYfAGueWeQxy5XY10jUgRvJC6vIslSQmjC8RCRIiiAfjQAPzJJXIGkSPQF4hpnLe428h0fb2DzGJGLyBG87iABfyRBADgUjKDTaxOyWj8KFFkiHOgiHFDnF63Bid788cQViRoDKVM+E/utM7noO/wcAJll30RncBLyddBzMC61ESNTgga9OZOwrx0EDTkV30PU6Al6muk9/BwarYWsGbchCCJhfxfuni3IUjCBjGWV3fovTabg34hQTVYCZvxHeiL0jUoUCFp1JRNsz+eZnSOccYfEY2/WUnWon10NvUSzApCsutQAqveY0I+rONJjqOJInYIuN4h4VNjJgSMdhKOp3HLpTPbV1mMIKXSbDrJDngX2NJgPZr+fNlN8Nfm2vHTS6+0ep6esCCKDDgPvKEHea3BjMAvsVoLQ2gUGlUzZ8XCOZg8DiomDylTmiQdIxo0WidzpN6E3qf2t8Z1GlvdZ7PoAqzf8lfJZl2HwbCc0sBU0ZnLLv4UwLvNHkmTW793HtNE53C+YMCsB9OMmyLTiG9Dqk9Fo425EUaM+HHf3JgyF19G2924AkjVxYpySfTl9m59DzDfg7dsd236RxUh92Eurpw1BENh767cJ9cZJbeo3riBkGaQznMNbB5309no4Q9uIy+hjleMMPKNWBkQBZPUPGQ1K1FQnVrE/VNfPve5hyIY+ZzxGaiBZyyOfzyI7dDGOqv3sMpUgCGDWSIwERNXtFhr9Dxlbkp6wP0Q4KiCKAjYj/OTaOTicDlZUxv/W3mAEo07D4xsO0dLpprdTdWfuHqfjpDdqycqwkmzRU5KTRFgrsPqDZq45v5RZOSdpWj0G0m1GGFbf/+kOM4uzUliclcKPth9E1ghEbIkxPe58O+8MBpgdiqAbF0PW3THClnWNnPPZMuxJJlatqedDh4iUHLdEBlONvCPLbN7UQElI4KzFBaRnqfvDoShPPLwVU5qFauta/PYhdnXuxvXiexzKNcJUA3ldYRShi5rXb0c/oJKoMTI1hoZf/DcvnGmkouR09rbtQeMPownkUNp+PopBT3+FE60/ytyNQUAlVDl33Ik+OweN2UykrxdFEAh1d+HfW0WkpwfnZy7BMmNiFpqiKCgKDPZ5ETUiztSPRoTGiwhHpAgcOzTvU4eiKIx0v4+7e9OxWsS+4zH0Hnoa55SL0ZsyEDVGBJMJjSRTeON/cXGqhzeb3mFP7z6SjHGraVAKYRFPLjngzs0/Qy/q+M1ZPwHicWzjsal9G/3jCFVV7/6PnVCNEWH7YAZPP7oDWSuiDUpcdFUlG96qxxuMIEoKhaUu/L4wRdPTKK3MYOt7hzGZdcw5I4/mg/0IAuSXpMbqSB6N7oN/IRKIi+fqTJ9cZqzBmofO6EJrSEFnUCVW9OYM9KZMRK2ZoCcuq5JVdisarZlwoBu9OTu2QDLa8smdqSZAjAWi682ZpOarYs3BQIS/P7aFrBwLaaXWf3nC8q9+fR8bospEMUxvxD9Jy4no7eyntuoQIiaMZgkFUCLq5PGDR7czNJox5vaF0QwloU9uZ47tTLYC0mAG4UbQF8XrhhmK96KE1bgJqb2UK0+fySttL6Bx9pKWvJd0M0T9O3nfuIBDcqIp1j9a8duCj2hIS2i04Kgl7Gdxjp6y9EJ2N/eTlmwmw2pEdu9gc+cI+xTVZB6x6RMmviyhhyXKdmo6nOz0mbiorIlS1FXB+12zqWq1EN55iCRHG729PqKBKJeW25iVHaA8qZkN615mWdFonSrJz3DvDpIzFgGwr22Qp1Zu59tLVLLzenURQesgV0+N62el5F2auEIdhTAaNxX0NCcOwpIfOSzje72TYO99aMrtiPkGwoHOhONL9Fpqw1HuePu7LLZ4mQ5IgsD2iqWczYfgAxctWN3TSDLLnDlFzYicljbIT989k8ULc7luSSEiIANf/90m5NGAfqNVR2lRCnv3dhP0B5ksAiYsRDk4uI+opgTC6mA6QuIgqDVouPvLC0h3mGj92f8QGlfvK+hoxfHFLyW0t44mJHx9harjFJEkfreqhoa6fjR6DT/50jxynBMn6osrsj8WDaaSLAdvDbsxIHBdcRZKNIpnz27KB4LsT1OJn8nvpahhH01F5fhsDoJOE4d37qd4Xhmi0cjW+o1srrIxUuagbtNBHE1uusZlh142xUVNv4eD/iCIAt4cKx8C+w534Hi3jmkuG3XDPobPUhcCjq4LKNpbzdLadQgoFLaHWZS2DNvGxDImry9xkDISZVZDgG2VFhYe8GEf9HHjGz7WLnifyr4z6JxajC/DRFdh/PuIWnRsX3YB9q0i5s9ew8rdPfRtruGqc6YRCevx+8JABpo5F5KWaceQnLhK2r6pifrDAwwoMoIGwkYtYlQm3Stht+iZf2Y+bc2DBAMRHMkmKufloJ1EMmIM463qk5GDo7GmZQMhKcTFhecnbJdlma62EdKy7OiOc77JoFpButGbs9S4UUXBO7CHobZ34KgsaL05i6SsswGB3sZnJu1v8EhcRV6Swhjtdmzz5lPp7ebNpncA2NMTHz+D0eBJZ1uGpTBhKUxUjqIVtUTkifPApo6tJBuSsGjN+KL+WKzYySIaVRfrWu3kz1FRFIb7A+TVL0BjyqVjiUo+dJ4IL69rYGhmcszq29/jR3FqOVjXyaa1h3Dn29D0SOza0kooSY8iCkzZ2cay86fFCq8D+L0huo50oQ2qyUaixojJMQ17+qJTupdTgSjqyJx+S8I2QdCQUarGCUsRL0FvOwZrceydNlgmasgdK6Ov9fAAq1dWM1JgZ3AgxOEHtpCbn8y0igyKy9LVe253M7U4Bc0kruJ/Bv5tCNWkFqrwiS1Uw94Q9b/6NV8O9DNo1/Du3Fx6AUFSX5AxMlU6JYn6I8MoA5l8dfEU0pNK2CXWEJE1SIOZBA9YMFbE0z0FjYTstxLunMqzK4exLoAMjch5ZoVNvRFqlatibZMZYYlmB69JauzCWeIullVeQX19H++39HHu/CT+WPssfz8MD+fdy3nT46UNjKlnEna/wumB5+lXknlZUgfWqUI7y8VtdA+beWDXLGRFVCeknHZK7WF6oxIb9o8NWiH8w3GZgU6mMWvUjTlGptqHbWTYvXi63uPx3QNMNQ6TJLv59pK4f7zHY6FP189af4hzzCoN0Romjy8xO6Yx1LZ60n09QxYkjwWNxYK9fgTdkngcRvi1TvSXZjEjKlALBA0iexY5SFtaghwR6W82JfR1xcwGjsZXPzed00viblAReODWRUiygt0Un2wHFxXw01Wvcczy16NWSlErMKs8jf11fcwoSaGjz8+c0jSuOS0/1jTr1m/RfOd3Yr8j4SGOVKnBxyl5lxIJDeJIPzPB+qfTaPj+ZyupmzeCw6QlaxIyJckS1QP1LE4+teSLyeCyGPl2eR42KcLgm68zsOoNkGUqNRqyXVmkdbfFckvn7tzIqnO+TH9BJquaonzm6f+ixVXOvsoljBSr1gZ/phn/OCHUn8wuwKDVMD89iZdq2qnyx4m3ZNQyWO5kG0B6XPfLn2mmNX0+r6eVkNdYz8z2Ddhe34ACyIIGBImnL07hW8vv5O4d97OnTH1GA1Y7S3YacQT7yOiqZM/5c1WL5DjogwHCRhPBVCOrV1xEVAlAqWole6ypC21AUic5QQBRwLahE3NA4sqzS8jMSaJ6TwdrfD6C5RN1ysYciB+2diMbRDAK6EfcbHpsB1qtQKpGy7mXlE0obj0+1mcychB7XlE//qFqXm96G4AVriIUOYqSOpeAP8zKl/fTZhbRBCWsHT4u/+KcmAXweFAUid7Df5sQWDwGrTEVvTEdrcGJ1TUvQVk7p/IuAu5D+AaqSJn6OVAk+lteRQqPEA2rRFGSI7E4HKs+fu/DobhgbFBKlDyRpRCdtX9EkaNkTv8aWv3E593l6yXXlnVMEjoUGqbAkUe7p5PA6PmHB/00H+wna0oSKS5LAtEdi7OKhKM88+hOQv4wgqyKBS9YnB+rNjDQ6+WFJ3cT+nACswAAIABJREFUcujxTS8jYo2bFCM2Hf2zE4O9A+nq9xBMNTI8Tt9uaHrcujziDsP2Vi69oJTmQ/10tA5TXdtD2KEnW65k6fIAaYVXT0pUPi543UHeeukAg6M1Yyvn5bBwST5anYZoVCIckmhv9vLeqm4EoZv5Z+Uza0EuokaY4L6XZZlDNep8UlPVSU+nakkOOA30L1efowf1PfLWD3N4QyOGN+uQAcmgQfuaOgLPOWMK8xZN/aeSq38bQhWdZPDxRnzs7auOpQqPRyAU5dm1B9la3c1dgX76zDk895kw4EcPXDfXi16o4dF1pURkDZcsymcwepC8NC8vjmTDiI+ZSw0ku1O58LRCXtxwmINKPX5hlGBooiRbzQwbRRbNHqHLfCUyAitxgAKCImMP9BORdzHo8eMJZ/H1wucBcE65BKNOT6NhDwctm8kYiVc6b+z3UN3tpvZQP6GwRHvrMILi5PLKVGZk9HOD5hWiaLAJfmqVq1l+VgEHtLup2j9M1Gvg1Q4rC7Rd1Iaj6KwKVy4vo9Bl5ZmNjbi9YW5emofwy7sI2rQYrslB0Iv0Nmtw512E4FlFtsPL1dl7E56lIgk8XTuP/qgZu+UQH4Yi9DaXcM1Z5ejNk9e10uhspBZcTX/TCxP27e7PZk/23NjvJZuaWDylkdqhTN7MXM4PWU+Bw8DXJB1bg2EutBgBlTxfPUv9WHePLGBuQQrCgDrhaA1OUBSi4SGyfY8RDd+WMDBbJpE9cNqMnDc/g9VHJuwC4KzZWUTypvCZ2Tmk2Yxw/uTtQC3uWvD7BwkdOULH73+LVDaMgDqAj2U9urs3YU2Zi96cic6UTsjXjs21gOnZxy5j8X77FlY2rqLJ38RleRcf+wJOEi6Tns5HHsW7J+5i1UoS6d1t+I0CsiDw5hIHfUlakhSVEA2WOXld/w1CDj1Bl0po7cODOIf6ackvAeCW6Vncs/M+8h1TuaHsapYFewjtq6M7Kw+rZ5gjBYmp3EkDfZRWvcn2FV8GUWB4WhLDxQvprCpEG4giGbWErTqWZlu5Z+k0ZFnhKut17N7TjWJ0EDVrefdaO4ahEFGTNkam5iRbKE+1U2w3IwoC9SM+/nqoi6g5cahULb2Jz8adb8cNPLW9CVNvgKHSJCKpqsVqltOGVhTo9odo98cJwfjg/lCKkd4UtX0n0LTpIHO0Bs5Yko/NYUQQBMLRCFnN5WgiBnaPdGBZrIOwmgSh1SehN6Wj0TvoO/w87qE+xKgWWRuNxbr0t7zMtpZzqC9KQtapE8/wtCSe/OAQV810kWSpJ+CuQ6Oz4cy5AO9AFd7+3VhT5xMNDRAJ9qkp8JPAnrkCa+rCY1pqRI0eS/IMLMkzYtvSi9W4LFkK4xvcizL8MihRFEXBrrcx3VlC3WBirGVgnK5fJNiPb6gaOapO7J01D2Kyl6DR2YhG4iSsy9d9XEIFYOnIJM1vIpLiZfO6Q+yp78GXZcG0vwP9SJiCAidWmwFFgeq9nQgKyBqBrkUZsWcpSDIDNR24hwO4Mmy8tbGR3uWJAf9LMrQkGZy83hoPIbimMIPBYISQLGPXadnaM8xAKIJOEEgy6OgLhhEAvSgQsuupCwbo+f1mgi4jIbse/2lpyHoNgXYDlV4T6R+BTHUeGaamqoOUNCtdbSN0tY+QPSWJFZdMJxqV2br+MM0H+4mEJWStwEBZMsFyB2JExt0+TOOjO7noinJeenIPCiphdFc4Cdv1eBu62flBM6IgkJvvZOGSfOzJJratP0xNVScRixZZJ+LLMOObPjFBYgxDpeqYbOwPErbrYhUnTH0BtjT0kjM1mewp/1howz+Cf5vSM3/a9wQ1A/G027KUadQONJBny+Vbc74eC1qUIxE6X3udD7dWM6C1s2hoP9VTF9DonEFr6VsAZEeW4XWqgVGp/j6kaBJD9mMHM2j9Ucr0elaUpfKnukfx9Osw6eaDI5noJBXOAbwjLyKJ8QHh4eX3Eg27GYqG+f2eJ/C2FSFlbJ9wXGDnxFlboxMxWfWcXR5ltnkjAKapX8OVnI4kSzERvx/M/xa/2vWH2HE/WvAdMq2JAY3dTzyGe+uoCKZVo1phfOoKwfTVm1D06yecP/h0K3jVNq8tddCaZSCw6xzOOn0q1y0qRKcRaR7w8n5dD1cvzKPfG6K6bYizTH48veuJmHtprTNQQzZn5rfz6LZZeMOJ8TrLpDo2aFS35k/P2zzpMx0P55RLsKbMwj/SgLtnC+lF1yNFfXTWPACoroqMaTedsJ9HDzzDvr7qSfddMHUFnznFjCiA3lf+RjC/6cQNAXNyJUlZy9DqJydVz9S+wI7uPbgsKfx04fcZ3vAekb4+XFedeikkORRCDgZoukOto1ZzUQVV6RG8IQ8hORwTBM2z56olTAQTdut1E/rJbm1k+ZqX0MgyzYXTsXpGyLSbaPS1UVVqYqHPRdbOxoRjhpJTCRmMfLDsUsRoAK//dXDa+elZP+KFg13Ueo7tvi+rHaE3EmVwetL/Y++9wySp6v3/V1V1de7pNDlvmLCzOe/CBnZhSRJEQFAQMWBCUa+KgSuiXhVU1GvArwFRQUS4guQMC8smNued2ZmdnEN3T+fuCr8/qqdnemZ2WVGv996f7+eZ55mqPn264jnv8wnvz7QlfwCKzDKfmF+JPE1sSkJVea0nwInRGO+vLSWpahwNREhpOiZBQBYFEqpGvtXMc60DhCZJq5xT5OH8ynEx4e5oAptJoj0c53gwisdiYlNZPgeGR3m9N8BgMnfStw3EsQ3GsY8kSFtFIqUu4gVWBFXH1R7m4urXyHPGSaVM9PYXoKoixxpnESuwIqY1hj17+MhcJ309Md48Mp/es4rQJTGjmDduLTAHk1Qe76bEP4ggQFVlDw57Al2HgUEf0ZiNvgE/6ZQVp9tNWbWHeCTM7Dk+kkkTz2zpQ00ovOuSBkrK3YiSiCgKdLcHcHtt02qVTcbnXv0iLlHgg3l2bO5aTqoSv+/cldPm4ws+QL2rmESkg5GOqUWkx6DpOt8LGkTryhnnsXHG+bQE2/jB3nuMfbMv4c/NTxmNdagcfDdpu4wcSRMrtk2JCbQEDCKsSQLpvNNrgNl7Y1hCSQL1uZO7EjvOTQvmUuOdmXOc02nRDSVSOE0SVpNETFGRBAFRgDv2tEynfpJFwd4hqh0W1m6qwV/onDaho6DAxY4tJ3ntuUYEUaCwxMWJwTDRMgemqELKbSbpNmMNJPEdDaCLAqPVLmJFtpxSXhMhxRUK9wzSu2b6JCdB0RBTGpZQCm9TEEHRCVc5Cc0+9YJwXbGX88v9CMDLPSO80jNyyrYAH60vo8r11u7gf2otv7q6upXAXY2NjefU1dXNBn6LMZUeBm5ubGzU6urqvga8A1CAzzQ2Nk4vUDEB/x2EStY76e8+wkOD7RwJtLCxYi2vdG7huvqreanjNfpjxirhx+fcyb1PHmHBi/diVROogsSBsvnssNWjKRqaDsUL9+DzrGdEemsG7CVIgOlLkkiqiioZA3seYVQkPMlWOtOHcAsOutRhENIsKpjH/sxkvVS+gd4hlZDzDaJSO1rCjmidOokk91yE02elstTNufOKmTuzAFN63CmV6GhHEER0XSPR1kr3zs3cs9ToxyaYievjLoXPLP4oNd5Z2W01HKbl324BXce1chWCJFFwzXtp+fTN2TZakRfblR76VI1oSqboqQ7kwRQJs0BLuYX9dTaGvDLxNy8wJmAdymZ66D45nkU1Bp89zbtOPodppoNfxDbkDP6nw3m1rayZkRsHcVcgQp4o8D6XDacoUjb/CwiShX0DB2kMtHBt3RV0hXuIjp7APLgNGZW0ICPraVKijaIZV+LKm8n2nl1oukaDvw6Pxc2tW+4gpsSnPY4LqzZOiV15K6hKnO5DRg0wh2MBwRdfRY+qCJKAvHF6hX+TxU9x/UcQxank/MHjf2Zrz07cFhdfiK5g8GHDylnzi3sRpKnkQtd1gq+8hGCScS1bjpZMENm/D9eSpZy89XOQkR/oWdfAI+XjKtf13hourN7IDHcVpoxbck//Af504Cgm77Jsu8WOEKOv/pbl8Xzq3vsRjv/kTmyDpy6u/Ot3+nFFNa550XAJxawC+d/6Jk+2vcCK4iUszSh1J1WNx1r6OBiKnrKvyRAARRlAUY7wvTU3/V0EVsNphec7h+iPJZnrc3F2sWdaknY6qOkYh4YGeaYzTER4a42q/H1DeJJxesu9xAts6CZhivyApylIuMI5PhlqKqtt27HbatkezCPGONmRR1OIqo6zK8L5s7axv7mOLncJ0VJH1hIzBkHRcHVESLnkrPXR3RJCDqeRIwqSWSRUZMMSTDHLbqW82ovHZ6Nyln/a2K1/e/kreBC50WcQlm5F5YFw7vt1kamEQGMtTlMMvy9IYcEIpbPWYnFWERnea8TujJ5A0XXuzhCqtVYzZ9nMdIseHhju4pIZ53PRjPPYO3CQew8/QEFXDak557zltZ4OAvDROeU0hWJE0gpvTnqeG9wKutrGgRGFRGofNy+4ljn+2rf1WwDb+4O80RcgmFLIk03YTCItw39BIg+rfQ0AcjiF93gQe1xl3uJSFq+qxGY3o+tGVYwn/3SQmNdMuNKJLgqIik4i/8xFrgWMKg/vnlnErsHRaYmOLAqsKfJilUSOBSO0RU5fdN5rNuGUTSwryKPe48BpmioQCtAbS7K9P8iS/DwqHFaOBaN0RuM4ZROrCt1n9L790whVXV3drcD7gGhjY+Oqurq6J4AfNDY2bq6rq/t/wPNAO/B94FygAvhzY2Pj8rc6sH80oRoZOMBDHSG69BLylFEGQ1v45rkfoXW0gzm+Wn5+4D6ODjciKXaKo5ejDA/Qp9lIhVQ0TcdulShc5iVhsU3p20uQOeJJtmmLmSc00SA2YyeBVUihtSn4Z1/Ks8ke9uvTi98VMsQi8RizTAOIko0d3TUc7e0jZYlRM7cENVpBaNhOY/o5RPcA6e6ZSJ5BRIfxEOhJK4Jl0gOqmrj5T32Y0PBecCH+y67APNxDYHCYaMt+TAV+Rh54CtRxgtXvNfHQRdNXqv/QvOtZUrgALZFATSTovecnJE62GPWqCgop/9ytSA4Hqf4+2m77EgApCX55VQGqJICuM7c5zrsrLuBrVkPoUk5ryGmd4cPvMH4kU+rEpURJCTLJt1B/LqnI4+vXLuF4b4h55V5GIgluu28Xyaixqv/KB5YRT6k8vvdpfP6jXOKw8mw0wcHUuMv3thX/RqmzmOfaXubJk88DkG/1MZQwBoV1VjOrbbnHcTSpYC88iz+1jVvgGnx1HB1pZGH+XJYULuC+o3/krJIVdIS76Ir0MD9/DnN8dawuWYY5c16arvHUSYMMFDuminOODu4m2GXEjvU65+DNm0eNv4b+39/H6PatYBKwXF+BMMkF5cxfhqbEsebNymrKpIeHeLT7FV4f2o1FgY89PO5i8J5/IYEXnsO94VwsZWXoqopr6TJix4/R9+tfnvYeAPzkmgI0ScAqWSiw+blx7nunnM9QfJhHmp4lrq7irGIfc/JdNAeO8psjf8i2sSQ1lh2Lsezo+OJAE+DlFS6Ozhp/7xbmz2WuvYqYmmRT3QWcCrqucywYxW6S0DWdXzWNE+s5ajPzzE34hRDOghVYi9bzhS1G9tdkkUwlNYpkciCcYXr+X4tYsJHEaDOyrQhn/lKjMHe0m1Dv5mx2lKJLNOuVnBAa6FbH45ti8VdJK80ssM6lXT7rVD9xWoSjf2aZHObNjDXsOvdMtgjrCam5z5VtIE68cOr493YgqBqWQAp0nfyeGFdfMjdHOkBRVH5w37OYVR9lpj4qy/rILxzkF50WKpqXkrQlETQFwVJkxB6pOvbBOL6hBFdf1JDTl65rdJ14gDu7xq3H/+Zx8NvRGCOaziUzNnHRjE0cHjrGb3Y8gpfLs/FLYyiUT3LLgk20RRJE0iqv9o7QHzcWnCsL3ciCQLHdQq3bjlMev2798ST3Hu8mrmos9tt4ufU/c/r92IIbmf83iKKOn6NOKtbN6MB27mjdBYhUOc8jKExI8tF0HD0xXB1h5s8uYKAvTLemMLRoqlAnGC7FmXl2qp02at12XukZ5nAgEyflc3JZVSGqruOSc5+TcFrhqY5B+mJJZubZ2VTmxz7J9TuUSCEJAq/3Bdg5YHhfqp1WLqsqpMh25pUC/h74ZxKqK4GDwP0ZQtUNlDc2Nup1dXWXA+cDjYC9sbHxzsx39gHnNzZOU9NjAv7RhOpnm1+le0JWgaykWKRKtCqwPt/BY6OxKSuuM8Gl4suokTCjUQe1xUHMgjFZK51x9rcU0SKWUD/cyrobzyIU2pz9Xli3c1Cro0FswSuMElNd1C013Ce/+OEWYrJAqNBOV+dotgSIVNCJecYRrEmNhMU4Vn9QwRFX6SjJXb2Kqs6nnhoxKgFYJQSPjHy2H8E5/vDv2zXEPp/E1W1e5MaTdNT7eWxx7oOfH0izqDFOfmElM8LmKVXZJ8JSWYXJ7ye6b++Uz9ISyBnudqLCONaazuSUdmNImcy84l3MwbwaNFGcour9y1vPQQIiu3dhn9OA5DIG0Cf2dvD4Sy2sXFLKRzIZcIqm8EzrSywrnEtACHHPm+MZRp9e/FGq8ir48hvfyNYkm4zrSuZRnmibsn9QVfmvSAIzAkMZa02lq5wvLr+FeCpKrG8z6UQ/24ZPMks28Xg0QQiZRfnzuKb+Cn575I8cGDqCWZS5c+3XODB4mL80P818KcXZE8oKHUmmeSoTa/OR+Tcw31NL/29/Q3jnDhDB5PUiVFvQ8xRMDbnBxO6CjYx2bCG1s4fXZJ0jc+3MM5k4+/6eyUlYbwuvLXGyv97Oe+rexZqyU+st/WDPPbSEjGv4kw13IgoiJ0Nt3L3nnpx2kiAhptKkZZFPL/ooP9n/SzR01pefxTvLVxFFxGMr4JOvfhE4tUK4rmukYj3omoIkuwj1vkpPoAMncQR0JCH35OPu+fy4bTsAPz7nO1lto1jwOEOtDyOaHJTUfwRBNCNKb6/GYCrWRyrej9VVjaYmkS0+IkN7CHQ/P6nlWD4pCKKMxVFOItJBfvW7sHvmoOs6fYEO7j3xBL1RIyN1ldVMr/UDBNXx8yqxWxiOp/CaTcSTr9Ebj+GwnZf9PBZ/mbQy1Z18c9EsGuZ+lFSmrydO9rM3OJ60M8dtx2s1s9DnIqVp9MdTPNVhDO8FVhm7SWJFgZsat503B0PsGhwllFnEFNvMJBSNYDo3jtV3eIQrVs/A7rQw2BfmpX1djDRk3LKaTl57GNtAnITfelq3EJpOYXMIS80xdIvCJxZ+EIBIKsoX3/h6ttnHq8/m561bye+byeyiIi6afx4vvniUNqtMuMqFDCz0BXm5/S+AQTTvXvfNv1rJHsZlEnqifdnKHGMYW6i+FZLRbpKRNsIDO/FVXpotSqxrKuGhXQS7X8i2vStg3Kt1RQu4uPZaHmrpo3WSZc8SSKLJYjYwvtBqZkOpj6FEioF4irOLPVQ6c8mzpuscCUSIKirL8t2Y/kadrDGkVA0dQ6fwn4F/tsuvGngoQ6h6GhsbSzP7NwIfxCiyNNzY2PjzzP7XgQ82NjY2n6pPAEVR9VMFMP49cNe9v6S5ZBlOLUJEfHuqy4uEoywSj9GrF+IRRnkzNsD+lEL8zQs4q7qb8+vaONhTwKOH6hAtElpy3Przjtge6vNE7jEv5uqGQ8z0G6y8M+jiwb0NxNMyVo+F9yyt4E97OnMy6QDK4/1cNfAqiknBGZ86Ew54Tby80kXcLBJ2Gtfxc14XplN42HVF48mWEKWtccxeG3NLLRy3CXSdCFM2kKK6J4XpLSZcW3kZNZ/+FAe/8KUzun5Rq4gjcfpOdUAVJEwZ8TsdGK6q50nHAgaSZnRB5EPeDmqJMHr0KGrUsGb4Vq7APW8uJZdcDMLU7JHJeOr4S/z+wJ+n/azWP5MNM1bzi92G9eTha36e/Wz35m8ipKa6pbbGU7yRMAjZDE85F7t9OEdzJ6uDyTT5kogGPBiOT3tn1ljNnD3BItatqPwhHIdMSjqATbayuGQeNa5y5hbUUuwr4dndT5N88FFqLp0+sB/gcCjJPLcxIVhThXhq5hHtbCfdGiC+qwMtrWAvKyV06DApk4AOLPrSl/AtX8bQtu0Edu2m/OorafzBj3jN1MvOxXkomYn/j1f/dIrAYjzSTyLSR9vhP/Hr0RiDaeOZ/vU7v0eexYmmaTS2vES8axsiAqoSo3LOFUieWcQ1lbK8YnZ3H6Bv8DizkoPEQu3Y88qpWvhBPvzoF1Ak+H/1Hyfe2oZgkvCuXI6UZ2F0+ATtRx5G13RIaWjdCfS4CpqOb+YSzKIH9+wGEESGenYSCB2iL5DkEYuGSdG5ybuMAlVgtLuJVM8AelgxFjU6SD4HzooZKGoUOeLEZLMj2e2gayT6+tFSKXwrlmMrL8Ps9yPZrQz27CClBgkOH4Gkhh5WQNWNxY0AOCREyYw+IUhaMtkomXUehZVrTpmh9dlnv073qKEztGHGam5adj0/fbOFIyNhPreyhnq/Cy3zzNzxyt0cHzKsXT+/9Nv8YOsvOTHSNm2/n1zxPtbNGLd2abrOiZEIR4fCiAJcVlPyV1sQJscGJRWVDz7xI0TBgV1ehiaKyOE0YlpD0HUS/jN3OV1RU8ySEh9HhkZ56EgXCOA9GsA2nEBKa8xfXMb+Q72kxTCiLgAC5ZUejoda0UrmoUkCckQhUu7IJiTcsnQG+fY0n37ma9nf+fXl3yXPOr2Y5GDndjqOPYrJ7MRbtJCKukunWDQP9x/nG5tzLVSfXHkj66pXZt5tPXuvNTVFYOAw8dEekvFhggOTF7ICFfWXkYoH6G8f1/oqnX0Bn95ljGtrq1bwqVUfACCSUjg+HObp5j66JpGrq+rL2DSj8J9SlP3/AP6uhKqrsbGxPLP/cmAT0ARYGxsbv5vZvw/Y1NjYOHSqPuEfb6Ha0b2H+48/xFKrmXrRzyF5Ce36eAaBjTiXSq/Qr+dTL5xkAB8p3cwxfRbdehEbxR2UdzejvD6MtCCPZDBF02iKXQ15ODoupcukYVFjBOOnHghEWUBLG6cpoON2pamIhEkrCk1ivpHaPQFlFXncsrGawFenVj8/FTQBdixw4IhpzC+yIYdVTCu96CMphD4b7SUuvH2jmN9sQ0iemYli1CEy4DXRXGnlshoPWl8C5ZVBfBdeRv7lVzAcD6Bv3gapFOpoCFtdPb2z/Pz4wK8oGUwTtYk44ip9fplrXWeT/svTDHlM7GmwM798MasfPUqkbxCLniYtmDBPoxN2phBkGTm/AHNxCbquYSkvx3/pO7MxQmOrkUdPPMXLna9jSxirI2dcwxVV6ffL3NBegGl4lK2+EJ3FMl897w5ix46Q6u9H9YWJOVqRphl8vp9ZGV7jtFHxFno+W+JJtiWMCdQMzJAl3jlhRZgSzOiiDGWXUpOJsfjziSd5pXNLTj8WyYzX4qEvE/93o2whvytB+uVB5MtLkMrPzEWT+JlB/iwVlQhmmUeLBzlRaeH767+JzWRF0zViSpw9/Qd48uRzxJUEkqqjCXDjvPey2F2PaLEgiCKx4HEiQ3tIhFvQIwqDbVGaBuKE7SIHa23cvuoL+GUL3Yd+BIqO1ptAHzTIlp7WIa1hwoO9cj6OhvkMtT5MumUY9UQEEhq6BoI2/XAh+GTQQQ+8tS7T/xQINguW0gqwCGhCAounDNlXhKWkFHvDXASLBVGeGhN3+7bvEFMSxJU48/z1fDxjjZkOd775Izozpbauq7+aPxx/5JRtZ7ln8L457/6HlcmJpKJ8f89Ps4rkq4qv5Fh0aqhBKt2M3xzj4hnn0xqOcWg4go7OqiIPXovMS53H6Qo+wW0rPkVpJmFmV3+QxzpynSGCqqNLk95XTUdKqtMGVV9VorKkvB5d17OWUIB5/jm8u/Zy/DbjWJPRLkSTHSUxzODJP+b0IZrsGc0tkVjgIHbPXI6l0vz2eO4i7r31V7LIas/Wt7N75yEIJqIjudnRAGZ7GanYqXWx8orX4inZwM2v3JrdN9mCq+o62/qCKLrODJeNcoeVkqK8v1mX7n8z/idZqJ4E7p4QQ/Uq0Ax8F4NclQNPNjY2Lnyrfv/RhCquJPj867cD8C6HlRqziWDCSku8nFSek2XiYWRhfCJPxBXMkohoHl8dpv7Sg9adQBNAnHC0O2ctZkBeSLNJBHSSCcO6YrGZmBtXOWgVUTL78pMB5kdOUpAOMsOURAgaPDNhsvJUyRpazUUUJkdoKJTY4BggsiU3nv/YPDtHau3YIiqzXWbaLNAfSrPyUJS6jlO70KZD0CkRs4lYFB1/QCHmd9LuUugslmmqsvIBixW/S86akAGud9kokERMLSmK1n6QIZvMnXt+SqmjmL7YAJquUeoopifaN+1vritbzevd23P2/eicb6P1DRB4/llGtxqEwVJRQbKzMzPBm0m0tebEe/mvuBLH/AWYCwsJ79lD8OUXSXZMr4cDYC4tQwkGSOVZ2VqaIuSUmN2ZpLY98ZaWuFNByDcj1bsQy6yI+YblJxh347GNZ2T+KBhBBK512iicZIH9WSjJTJPORY5cEm7zzMFVcSl7Bw5hbevD99wO0sPDOObNI16QR7rlJD3JIdxDMRRJoLtQJmoTaS+xMOoQeecbUfKHEmASEKvtCCMyujuFaZUP0Td9XFr8yR4kWUIfSBoWlElQJej1yzRWWXFHVGZ3JvBEMm4pmw09nqkVWOKGUgE9mEYPpdGHct2oiggmhwPCZx4wPuVYbCJBWUATBVQJ/NUOrFEVtTkKyviLafLnI+fnY64sw1Y9GyUYBF036sT1dJKIJ9HicUYDA0TCI4i6zrDbRLFTxltegmZKY5KcuOs3Eq/Ix5IUiB5+ktRoP3o8juA3gyxmf1OwSegxBa03ASkdPZwGVUdXdExpN4LJiinPg+wO9iKsAAAgAElEQVT3gyiR6D8BaRFlIIAydNr1puFO9/kQTDK+Cy/GWl3NbZvvoCAmEguNMJhv5u5130S0TO+S+vqO7zIQM37j6trLeaRpPCNuuvfVJTu5c+3tb+v+vBW29uzMlgQCuGL2O5jpWU5HJMFAPEWBzcyKAie3bvn3nCLyk/Fs60s81foCs9zV3NBwDfk2P7qus61/hMdO7sQsn77MERhF3lOYySPMYvEo9cJJBAE8peeSV3Q2qqZy167/pDtzfZySmVv8+ZgdZcSDx5kcizBdwd8x7EmkeCme+z5cXXs5deGDpBPTR8QUzHovkpyHyexBlMwcHznB651buKq4gUiP4eZzF6/PFgZOqSk++9q/Z79/JkWz/x5Cv/+b8Y8iVG9Hh+pzwK/q6urMwDHgvxobG9W6urotwHaMYICbT9fBfxcmVnTfkkhRZBLxWBMstU71RD4wGqM7Ez+wPC6x0W1jbzxFw/s+xM9bHwFNY8mxGJW9KUqGFVa27CNubWKllM+IvYTAzHoCwzqOSIxqXxLbkIY1dpLScB9lk1+cTLiEVUlwVedL4/u7xtSSADlTD26Bm8WrfCwe22/2sn2gi5DbxKEL69mWClPXPsKKrSGGnRKdRWZKh9LGil0AWdEpDCgkZEMfqKdw+sl1rr+eD/tnUxRvJRlpxysKBDIWgQfCcSpMEu+dbWOw9w/szri5Jg7Ikwfnzy75OC91vMahoaMcHJpaCPozm7/CXWu/Rv67rsI+Zw62efPp00epdZVxYPAIjzQ9zuprrmGDUkVw5zb+PCPM8dQWaN4CzbChYg2b1yQotM/jxtqryDvchinPjZTnZuD++0h2dpLqMVZ2pliM9ZO4ng4EXRK6ACmTQFupmYhd4rw3jZdMys8nb+kyLOWVtO/finb4KLakTp+mEWkNI44kmLPBKOswRqb0sEj8WIRPhPII93fhCA2QXuoh7ZRIl9lwe83c7M6d/CSpCKejgeTuLvb+7ouYghGcEZWxIXhM70nEWKmMwRs2iObKw5MyPRUdrdkgLm0WM4E9w1hTGpV9aRSrSJfPhKshj9oqJ7YJrkItnOb4S/3M7Bkf/CUVygfSlA8Ylh994jCiqCBJoKqovSHozT2M5nILJyotzD0Zp7IvnUOmTH4/jgULEa02RFlGcnuI9h4gZetFDyuoTRFEuwXPivNxzV+O4BT4zPbv5fR/c0kd5ZUXYjJ7SAy0YS+qA2n6rKAxTBxEjRX9uDXmpnnXUzkhrkXRFL60+St4LG6+teE2AIY7niQ6vG9Kv4JdypJrV+EqrM4ZyLbCU0pZjEHXNJRgED2dQk+lSI+MEG9qJN7STKL5BMmO9uyCIbLbWGS9f1IfzQ9/DHNRMeayMgSzGTUUwlxaimizUzkyRN1wmJ4CmfSsXOtdmbN0yjsb/itKcf21kCdloOq6zsw8OzMnFDpPZPSlTKdJBPBYjGvaEmrj90cf5t+WfhxBEJjnNfNgYjPxxGuUOsuwmefQFRkimTqAxbwQTQuRVtqRpCI+ufwd2FueRFNyzzfY8zK6rqEpMUqUYcbsQhE1hZoeJR6c6vYvrvsIZnsx8VATgycfmvJ5bBqDRTzWSzoxiNleirf8QhLhk4R6N2P3NGRLroxhMDbMT/b/CoANledQMfsGdF3FljeefR1Jj79bf0ux7H/hb8cZEarGxsY2YFXm/yZg/TRt7gDu+Psd2t8HXz3n03xz838yqGoMKxp5E6xP/YM+Wk6W4/GOMlraBqrxgu3SVA4EIqSAFzseocDpZzA+zI4FTo4vgA/sjKK1RLElotiIUhhtRxveQW9+PvkjASytKhOLqSiiCdkJ4mwnUoML0S2jDSRRj4XRIwr6aNqI95AERL/ZsCrkT111JvMa+MNAC6HMS9odMWaxRZs+xBMzXqAz3pfVAspC1/GHVMIOkdSkAPzZnpk0Bw23z5Hh4xwZPs7C/LlsKj6XGyoLePjEk/TGjCKbnYrKD4JRPpxnI3gK1wvAJTPOZ2XJUnxWL1u6DKvURJXjidjStYNzK9eSt+osnj75As+0vZTz+atdW1m+bAnf7WkmncqdEF7tNLSm+mMD3Nf4MF9bdysjiQCtoQ7arl3Ols4UqiTgCKcpHUqzcW8Mc0LBc94mCq66hk++/hUAzq1YR0e4ixNj12G24S774rJbKMgzKEyjf4hX66auJjvDCc53GaRdjyok7+9A1I3Q4jGNZ3VPEBGwllrhinECo6c11KNhEttOEtWM6zQx70ZYsZjZH7yZ40e2og4OMnv2UtRImD8EXudwoh3vqELpYBpfSMUTVgm6JE6WmxnwyYiajqSSjaubCIcgsNE2lVSLLpkXN3hI6PBZpw1ZF9BDabTOTOyFTWKkwsJ9aYNwfahsCfmxJqNGXSCNFHGR51tFyKxxV+SZ7HPYVG1cn3NCOiuGrBRsuh57dd2U3/dwDvFkiM9v/RbVM8v46KKPkWefXiYCwF95KZZMVqGjbO4p250KQkaFaQypScK/Y1IYE59dd9lF/KbnCPWuUi5peB+CIKCpKdLJISynEKg9HYKpUW4/8F00XeMbq7+Mv6IS50IjQ1MJBUn196PFYsSOHibV3z8lOSTgkvCGVVJ9vaT6xhlt7OgRAMaKjiw5HkfZ+xAX+3SOzbDSXmqmKq+cXf1TE0nGFMDBkL0Yjo9wfvWGv/rcJmNy8oc+TTShkqlmYRJPPS0V2MffkpZQK0PxYfJtfuJZ6RKdnkgXc3x2kilDEPSiihL+0mIQYVXtocDhwTPvM4QHdxLsfjGn/1CvUbLIOyn1vi2tMK94BVbXTEY6n0bXVQpnvTdbeNjmrqVi0W0kwm2kE4M4fAsQJQvK3h9DopeFZhMHMkH6oaH9YDPjKlyNxVGOxVGOu3jdtOf7+2PjwsZJNYnVa2jtqZrKsZEmGvx1jKbGLS2arqHp2v9KYqWlU4jy+NiU6usl2dMDqoqWiCPa7GixGK6VqxAtFiMGLTMXCn+lNMk/Cv/nldLnF9VnTaCammbw5IMkI+1IspuF629i8QYTJllio5rCJJr47Gv/jqIpTHz9J1Yin2OVMV9YhBZIkXqsBzLB4qIGZQNDaAIMFsjYBCtSSOdY4dmcddmJ7Pe70yrPhWKYrHD5OeV49Fzpg3hE5nfpIDdNqBDXYqvh0Z59aAFjlbq6ZDmLCubxi0O/Q9M1fnX4fgD8Nj+rS5bzVOt4BtHFdefyTNNUsU0gS6Ym4sDQEQ4MHZm2fVrX+Xno9PUPN5SvwSxJdId72D2QGxOwsngpV86+mOHYMHftvYenWp/nqdbnKXOWZMlhzrVQ4nx9h3HvrJKV7627g7iS4DeH/8DxwPg1HYgP8atD97N/8ND4l0VA1wk7JULFxcy+4ZacbJ1PLPwQvdE+zqtcz3B8hNu330mNZyalzhJe69pKZ7ibygyhagoagb1X1VzGwoK5fHXbdwDYpyhc4ignFe3CV3MF2g2j6LqOtXoGJq+X45E20l1dvNj4PHNbEvjvb8dXYcdUZEU9ECIWTiPPqcEt2dH9Xh4Q9jOSJxG1S0A331Zj/HT4aRBhwWiUg2P3RRIY8soMeWVkUc6qP39v7dezMgATUWQvoD82SLE9n+ttGpI2/nRbXTPRdY1kpI1Pe5x0plXy59+C2+Khv+UPpArasm2HUumx5CcSo8cgoxPjW3AZDv9iRFHmd/t+OZXUA5vdAvVr3kNVwVQyBcZE/lK3IVTblgjzbOcbXFN3BQA7endPaa/opyz4k8VgbJidfXu4oGoD8iQBXafsyLHITJzwQ8kwgeR4zbyxCSqiRGmLjdAWG+EdDToCAqJkfltkCmDf4CG0jAjo7du/k+OqMbk9mNyGjp1z0WKebn2RFxv6UEUBbUJs0DuK17G6x4KeSiIXFJIeGkL2+wm8+DxNiW6SJigeTmNVFGo6lWyWrep5mAWzNQ7NtpEXVUnKIgmrSDQdy5Z8GZO32FC5Fvk0JGcMajSKaLdPayWMp3ODoieqnY9B0RUkRafsSB9K9Sgml5G9qisKiCKCKDLTbSxVbQmNuEXga9vv4mcbvzslPqw52Jr9v843G8br9OK1uSEmkle4mrzC1QBoaoKug+PXv0IWYcIh7xKLWFd5CQDHkwle697BdaKdQkBXVU42vknprIX06SZe7G/iBt9irIKEbikCelltNWMWBHYl06TRsblrcxTjT4WJV3IiuX/85LO83PE6xfZCFk6q9KFqKuJ/Q/ZcOBXBZrKelgBPB13JZMWHgkT27yN25DDRg5lajSYJ0WpDi8dzwj0mov/392HKz0eLRo12gMnnx7lkCfnvvBLReubJDX9v/J8nVBMhSjJFNZON5gbGdIJuW/FZfnv0Iapc5SwvXsLde36W0+6yJZ9HHd5NmO1YP1id3a8NJdHaYog1Tirc44P3WYxP/N8NRLiu/moWRPt4pXMLvxgZwgx81mtkIEZ1uCcdQAN+EoziFAUimk4sMO5myDO7uKj6XPw2H99Z81W+uu07pNQUNpON86vOYWnRohxCdePiq1GSOi+05xaLnYiFBfP4yPwb2NN/IEcjCKDKVUFlXjlbJsVAnQp9h+7KZo7MM5s4nFmVmQSJK4sbGD5ipBDPliWaM4KjY2RqceECFE3hrJLljCSCPHJiPObjpvnvQxREHLKdTy2+ibiSwGay0hxs5Wf7f51DpiRBQtVV1patZknhfJbNnMtoIDfWbK6/jrl+Y3L323zcve4bmCUzvdH+TLmWJ3m+/VVmuCvpjvQyy13Nhoo1aLqG3+pjODHCN1Z/CaeeIBE6gbNwIUJR7iA2z7UAShbgq5uPVbJwcOgo9zc/jSesMvv6dewePAiE+NH6W/nMa7cBZvLMLsisOI+PjD87ByeR3G+dfRuBRJASRzFf3HIHiq5OS6YAZntm0B8b5BJTDEkzjrGo9kOIkhXZ6kfT0nQdMEhihSwxevxnTHZumMw+LPYiiI6rVts9DbhLN2YrzauaSmMg153+sQU3EkvH+f2xP7Gjbw/zC6bX39neu5vn2l7Obr/evZ2FBfOo99XwWPPTU9pPV0pqImLpGHfsuAuAme4qGvy5RM4syVlyCIa7qSnQQqE9n9u2fiun7WgqjMfizrkfHeEuqvMqT3sMbwWLeHrNtTFEUlGeaX3RiN2ahGf73+D8jf8xZVJzLF/OXa9+CZfZSTgVMbSfggrXDJdgPngSgqNs2A0bdo+TyrQEXX+8GdmVh62uHkeZStQu8fXt36XA6mNx0ULWla/O+Z34iSaGHn8MJRgg3ddn6NPd+mUie3cz+Mc/YCouQR0NUZlO8i6fSGuZBVWAqLUHpSrNtu2PMm/BObglB5HtW3jf08O4o4OcfOkWbPVzQFWJn2hCcrmwz52HFo3yiaYR5KRCUjbEgntmHaN9pA0mEM2xRYY5rWFVMtcto3nnseYRjI0TOl3TCL74CsruEJLXhXvRRorn1PM5PUJk725ad75CfrqRnl0/JX6iCXt4lAsE6HEdJFFYSairFUs8TScQsYlUe0w8b9nKnLYkKyWRpYKOVZQ5K5XCWm+jzy+Tslcyun0r1uoZhvXx6BHk/AJS/X3EGo9hcuVhqapmcaCfmqEQqijQufd3tPn2YzNZEONNzLImOVnWzx5dpSCkMTftY3veCIquInPqyh1/DwzFh/mPnXezsngp76m/EjAqKQhmMwcf/DnOwTBOfzHJ7i5MeQYxlvLcJNpaSba3ZS1LkxE268ipKBbJhLWiEpPbjcnrw+TxoIyMoKsqyc4OwyIriMgFBaQHB1FGhgm+9CKu5SuxzZr9Dz330+H/V4TqTFBoL+DWZZ/Kbt/Y8B5+e9TI5lhTtoo8qxfKNuEt28RQ22PEAoew+hZTsOgddB74Dpxi5Rz3reDHi87PmmLrfbXcf/RPhNMRHhiNcbbNzOvxFBpGwGZbqIMTwZPE1ChF9kKurLmUeu/snDR1p+zgh+v/I8dMD3Bt3bt4qPFRZrqrATinfE2WUN2+6gsICPznvl8QTIZYVDCfD88zyoMsLVrI4sL57Bs4SJmzhGKHESOk6doUQlXjmUlCTU6pzD4xDfd8uwUJw114scOczWoBuNJpy4lbA3h/w7U5K+EVxYtpCbXRFuqgxjNeqgHG4+Nme2bwiYUf5I+NjzLXX8+7Zl8yZYVsMZmB0wfvWzP9lWTOOammSKojDGfEPsd+XxREbl/1eSRhPF7nrSwUVXkVACwWJf7S8gymoiKWlSzJECrGy18ASwsX8mqX4c4cSQSmdpaBx+LOxpO8f+57uPfwA9O2m+cqQspYWxKZQcxbcTEWx3i2qyjKdMqFVKQHpu0DQEmNUJ0OUyaJdKsaeVVXkj9JS2ey1eHCqo3Mz29A13UebnqcxkDztO4IXddzLAyVrjI6wt280P4q9b6arPvNa/EQSBqK+qcrDHwi0MKP9v0iuz25mC6Mu5VWlSxjR+9u/tIyfSFugNu2fovr6q/iD8f/K7uvNdTxNxOq9KTM1lO5an649+dT9n1j9Ze5fft30HSNJ08+zztmbMouCmG8iHKVq5y20U4i6ShDXhnHpVdTaapi9I0t9P/+vpw+E2aRmE2kaGSUyK43+dAuOFFpobZj7LnYwRHbffjWrEdCJNneRrwpt7h4enCA1i98NrutZFyRIlDRr1LRn2Gxe7bQfP92itMKQzzLWHj+xKiz+PFj2f/VcJjwDmMMGqMKlrROQ2uCyDfv4pNAe7GZfr+JYbcJTYRNO8KYFZ3gI1/hk5KIqGoITgdvPngtckGBEWeqqiiBcZVvpW2YgX2/yW5bAcPJliDSvRtFhAG/TEEgjT2UIBFqQpcF2otlrCmdohEFZ3xiHKKGBOgZn8eS43EgTnTrLzldika6r4/4iSYmV7VLsYMU0JD5A0iYh7CmdGCIWrNASHwZoWYOaixG4qRhmnOtXI250HCR67pOcmiYWFMr8aZG9HQa0WZDCQYxeb2Yi4qRC4uQHHaUYBBlZJh4czNqLIo6Oop15ixaPSplnVFCja/S/OeDCMMB1FFjGWYDVCDEMaaDYLEg+/PRVRVzURHOJUtxLlmKaLPnZFj+cP2Xc57p0yHZ04MgSZiLis6o/T8K/yJUb4HlxYuZ6a7CZXZOubn51VdA9RXZ7dKGT5IYbcHmruXo4EHC3c8jiWZqat9HpSt38J3rr+POtbej6RpPtDzHnlAbK6vn4LN4WFq0CKHS0CBqG+2gwlV2WrPqZAKxtmwVRfYCyp3GRO+2uPjM4o9SaC/EbTE0Vb519m3T9iUKYracx8R975vzbu4/9nB239KiRawtW0UoMYquKcS1NCd6txFIdHIcB2sL50HP81yc58XpX0x4aBe6lsbmrkXXdRKjJ/hw+UJ81VfTGemm2FE4xa1gl+3Mz294S1XhGu8sbl/1hdO2OVNMN6GttMicX5JNC/irTdxjyLf5+dzST5Bv85NndnHDnGv4/bE/5ZDVMud4HaynWl+Y0ocZmO3MJxXvZ6DZsCbOqf1QTps7Vn0RSUsx2PhLzEKEXTGDUEWtpZQ3fABRMhNX4ty95x76ogPcufZ2Hhww3L9nW82ssZlx+pfQaS7CbvFREG9jtH8rkp7m+jw7dwUiHBo5we7Bo1wy83zyMynlE62gNZ6ZrK8wongEQaDMWUxLqI2f7P81q0uWsaJ4SbbtSx2v5Rz/+xuu5dtv/ojGQDPf3/1TNF3DbrLxtVVf4IWOzTzT+uJpLVQTyRQY7qa4kqA9GMKembJVTcVjcXNN7RXTuhQnYyKZAsNqNXkhc6Z4ru1lYuk4eZZcfaOB2NAUtfmkmsrKY4zh4urz8NvGy1+91PEasihn60YmlCRv9hnxUVaTlRrvLPYNGOS9ylMGMRH3uvVYFswnkB6lpKCaJ1ue47l2IzTAGVNZeyRF7YkwtZOyiOV4ivCL43FHqs3CzhoT/X4T719/Mzz/GvGWZobiw7QVy7yx2IkOlIZFCnojXFiyht6tr+CIKoiKwrBbwqwK+N3FpAu97Eq2kLfuHDbmLUQJBrBWViMXFhouIVHE5HIhud38rO0RRpsbWb8njKzo5IdUqvpSVPVNI9QrCMhWG1JBAel2I8g/PTiIaLNlXUaizUbJRz+OaLESPXyI6MH9qJEI5pJSDqndbJ0toguQsIiGwLKuM9/fwNkly/nlod+hjwle6joFAYWygTRrq9bwjLOT3tggd669ndixozyx5bfELSJ5cZ31hctQwxEEs4y5pBTBZMLk9eJctAQ9nSbZ1clrPdvZEj6MIxNaEreIfH7pzTy9+T5q9vaiimBLagSKnPTaFWo7Eow+/MgUC/Pw448hFxejRaKokb8tuy96YD9u4PLMtkYE0eHA5POjqQojapgDtXauO+9TCCYT5oJCUn29KIEAksuFpbIKyeGY0q+q5RojIukovjMkVJbSt+d2/3vjX4TqDDCmQfJWMJndOPONiWJ+6Vl0uqooshdmCy9PB1EQeefsi6f9TBAEZrirpv3srVA7oQYfkFOT7+1gVckyBAQODx9DEkzZCdFtNcy5HqCkxiCXY3oZWv5i0FVEk4284nWkYt3I1kIEQaTr0PdIjJ6g5+C3KZ/zCUyS9W1PUG8HqhIjHR/A4jSIrq6l6T/xW0TJyuUOK49Hx60tdWYT/Y2/wGTx46+6HIuj/FTdviXGrIZguDgnBp1eV39VNkZkOqy2ypxtNSMSp+/4OGlIB4/wjdnriA4bk6glfJxo4Ai2zCBfafNBvI/HBlvwDB2lxjOTZ1pfpDdqJBy0TIg32ZpIsTWR4rvzNvLLLXcAcGnpEiZT2jd6dgLQF+vnS8s/zfGRE7zcaYgNXj7rIs6vyg1kvqbuCr795g9pCjTTFGhmQf7cbEzbnoEDOW2L7IWoGUtv62gHAF6rB1mScZiMrLCYEudEoIWjI02EkqO8t/5KTKIpxy03hgcb/8zr3dvpivTwlRWfpcxZgqKrmAQJsyTznrp38cfGR0953afDC+2vsrnzDZYVLaLYUcTGirVn/OyOlTu6dKZRQmdB/lwODh3h4NCRHELVGe7mzl3jopCSIHHxjE1cWL0RgLNKlrOt13DBvtq5hWfbXsIpO8gzu7IZfD6rlzJnCfsGDnJuxToKHH4GY8aEavX4KMEY2zZUrmUwPsyegQNE7BLPLrcxaNc4+0CUXr+JP5/rxRtW0QWYfyLOqFNi7Zp387PBJ7Nk4s/DW7jq2sv5/s7vA7ljZqdXp9Pr4P3nXM0jM0K0jJxkhquclmgXfquPJYULCCSD7O7v5/KCAuxVuS5a56LFOduf8tzET4V7eTjfcDH7ggoLpFLWx0tQRkYISwrN6X7WfvgruMxGSIUgiuiKgiMVJmrzIAgCasQgAxPvna2mlvwrrsxuv3TkIQKTA/gFgUMjxzg0ciwrDDq2Xy8rZr9vmP3sBRXyPX4kpxPX8hUsm+Xjx/uN0k6XrXtP1jI+Ge3JAWyVBYRFH6EuEyvmnsOLHZsBuK35F5gqJLaVj2eprixeSkuwla2BIeY3x9lgnUNvbIB2dZgliXzUtnbSfX3oJikbl+U5d5NBeErLEM1mJLebZHsbscbjRs1OSUINhZALChAtVpyLlyAXFBA9dJA3j70KQyMM+Ey0l1j42GVfJd/mYyQR4IeZGNObasfvoc01vTjqRKiTvDtD8RF81reum/s/Cf8iVP9AVLgmG2z/d2NlyVJWliw94/bihNWFKJmxumZM227gxO+RbQUkwq0U138Us+3UZttUfID+pntxF59DXtHqU7Y7HTQ1Sc+R/8xRqZ6IerOJOtlBft1HaI8O4B7cjJoKoSSH6W/6DSaLD0E04ypYka2b93ZglmTybX6GMkkPNZ5ZeCWJW9wONseTHEwpCMDH3HbSOnhFYVpl42DPS5O2jVgkUbJROvcWihB44PWvous69x15cMr3f334AZyyg0g6yoaKNbza+QaPND2R/fzJnr28IMDlDiszZBNmyCZtdIa7OTh4hIcyhOTK2ZewsXJqxlKZs4QrZr8jGw/1ude/CkChPT+rlVSVV8H6srMQBIFlRYvY3T+e1HBBlUEiXJmA6ckuTlk0cWS4MesSnIyujMDlt9/8IedWriOajlFgMyakpUWLpiVU19VfxeqS5Tx4/L+yxGUiUlo6u3/fwEEumnEedd7ZZ2zBHEt2meev5+DQEZ48+XyWiPZFB3LIFMAH5r6XxYXzs9vvqb8SSTSxpXt71q0ZSUdz0ugLbPksK1pErXcWLvnU1SKcsoMPzrsOZ5OT17q2ArB7roP8iy/NWq6uXn8TL3W8xmaPYc3cO/xUDpk4OtzIrxPTZ/SCkVlpEk34rF5OiNAS7QJgODGSJQvAaY9zDJIoccuim4gpcQ4PHSOlpVhZvCxn8Tpd+oNgMuEoqSSWkc+QnG/9W2vLVnFg6HDWjTodrp/zbh449jBucx6Xzjif+46Oi342+MYLIdf5ZlPmLKEn0svde+7h1uW3cGjwEJHuFyhxVVLsqSEo2vnugd/m9D+WKDCGyUkZPquH96z6PJ/Z/BV2znegFHrZM9ABOMiv2URcibOheDWf32aU4rmk7jwuKp9aE9NeW4d3k7F/zK0+5jloDXWQVCPUnreJ581b8FhqEQWB3mg/0XSUfJsPVXv7ta2USRaqo8ONUwwD/9PxL0L1L/xT4Ku8nJEOI+hcVSKoYSM4dujkw/gq3mForbinivSlop3oWppgz4uo6TCuguWYLGe2itHUFMHeV4gMvnnadqJko2DWtVgcJTQ4SlC9M+k5+tMsAVOSRszFSMcTqOkw7uK1Z3zek/Hl5Z/m0eanqM6rosDuJ9T3OjZR4CKHlesb3slw+18AyCtag7vkHARBRFViCIIJXVcYPPkQqWgXZnsZeUVrSIRPoqZH0XUVf+VliJIFC3Dv5d/j08/cYQQoT74uukYkHcUpO1hetJhXO9/IzZgEkjr0KRozZLixpA5vYjx2bgj1AXUAAB78SURBVE/zHwmlUsiCxJzoUTr2bcZZsAJf+YU5fZxXuR5N13i85dnsvoHYEFUmiWtdNiCAHNyNWjCHGxvew9qy1fxw789ZWbyUpUWG3XPMjT0ZYxYzMBYyK4uX4pDtdEd6p7gUX+4wLGljMWg2k5VPLPwQZlHGLtvIM7uyVg2A6+ZcTWe4m85ID19bdSuPNT89JUmgdbSDew78hpXFS7mh4RrAcMXtHTjIh+ddn11pb8lkMsJ49uJYwLyma3SMdlHmLOGbO78/5RwnTy6iIHJt3RX0RvtystomYow05pnf2kIABiHe0r0dTdd4b92V1HhnZglVna8m595NhzHLmNvsAgRCE0o2jVnbK1xl7Ozbc8o+pisaPh0EQcAh2/+qRd7bwSxPNd9ba7w7/77t2zhMdr684jP8+7ZvA3DpzAtZXbKMfKuPIkdBTrz1RdXncUHGogig6yrXy2HwOoEI9267nfPtFvIFASInCEQMC+sCsymnoPuYZXYi1pSt4tDgEUKpMOWuMmTRxLV1V/BQ42M5Vt//OmEsjhJqkjxLHqOpMIcHGrmgbBO/PnQ/szwzOHeaRdB/7LwbSRD58orPgq7z/T0/BYxKDUk1hUWSWVy4gMdbns2OK+oZVrx4s28vtd5Z2XfQ+G4uoWrLWKf/N+FfhOpf+KfA4Z1LfLQJ2exldGBbdr+SCjDQYlgfPGWbsmnNAKl4PyOd4xlf4cEdxIJHKJtnBMHqusbgyYew2MuyKsJj0HWN8ODOHDJVWPN+RNGCjobZZtQqU5U4oigjTLAySLKLioVfBiAWbMyUghAY7d9CqHczTv9ipDNYVY9B09Ko6TDp+CCjA1u5wF5ItP9ZOvrHJ6vSeZ/FJLuwOCpR1VhO4LuUHVzNFNd+EF3XsvXA7J7pZQmcFgd3rrmdh5sez1og1pWtxmNx88TJ54w2soOqvArMokxqGutdl2IMeBPJFMBSq5mEDpX+eaRjhvZPZPBNIoO7KG34FCaLJ9u2zjsbuyBQbhL/v/buPE6uskz0+K/Wrqqu7q7es6+dPCRASNhCCLIOCHEI6KCAH4S4IKIfUe91VFRG0dEBXO7gNt47gxsXdeDOwoyyqYAIGJYQNhPekH3r7qT3rq696tw/TnV1V7orSaeX6u56vv9AVZ2qft8nZ3nOe96FbdlRnu8qH5jOIhlr5cAb3yY0+zIW1Z3Bl055HzU1A60yjeUNfGrVLSQzKRoDdXzlz3cPKeeViy7PjeDc3bM3l1CdNfs0XjowcKG5YM7A2nUn1w6NW/8qEg6Hg1tWbCCc7KMhUMctK24imoqSsSx+t+fpvNaVF1o2ceHctTy8/dHc1B53PP8PXLXoCpbVSq4lr5/H6aHaNxCfh97+L1ojQwcHXLNkPeWeoRdVgPc0/TX3vfl/uXje+XmzoQMjXkrG5XTx3fO/zpaObSyvWYrH5eGWU29iQdU8PE43l82/KDdI52i+sfbLdCd6eGTX72jpO8yO7l25wQX9Az+Gc9XiK0bd2X88uJ1uqn0hvnrO5yn3BAh4/Hz/ortIW5lcC86S6oGBM3eusUdYlh3RB6htV/4yNOvKh3/kd0W5j32pPk72eujNZKjwBvEwMDD1wjlr+ZslV3LVosvZ2rGNFdl+pufNOofNh94YMtoW4EBvM31Je9qbAz0tNPe15qbJyVgZTOd2Pn7ah3hy359YVLUg13L+6ae/mPc7/VOMBNyBXGtib7ZVNG0NtFClM+kha30CbG3fxs+3/JpaXw1fO3dgTdgjE6q3u3byUstmfrblVywNLeZTp98ybKwmk+Naema8jPfSM6BT7E+F+ofbNuEuqyEZPUTngceHfB6sP5tE34GCa1pVNp5HaNbF9B5+kc79dnLQKB/JJSF1dUHeevl+Ip12q0v17HcSrD97VP21LMvKTgz4BA6Xj4q6M3E4XASqT8Hjq8XKpEnGDuH21RFu24TLbZ94UokuktEWIl1DZ493usvx+mfgr1pKRf1ZJ1y24fTvB5FkhL+0G2r9Nbn+WpFkhGcObGRexWyW1wpffu6buUdn//OMT+S2+/XWhzg3NjByp7x21bAzhw/m8TUyc1n+iXDXa/fgysRIWA4e7O3jhsrhE4V+odnvpLJhdd57lpUmlejG7a2mLdrB/VsfxOcuY2X9KZw76+y8bV9seQWP08PaJSv55G/+jnCyj0+uvJmTagZaQK1MikS0mUwqird8DtGut+hufpqy4DxqF/zNUfeV3T17+dbLPzhqHdxAvcvJDRV+mtMZdifTeBxw1oJ11PtraWt+mm09B9gYS2ABHekMUrec2dl50b5w1qdznf+H09//cFvnDn7ylwdyLQY/uOjuvLKP9nxgWRbRVAy3083G5pfZ3bOXa5asx+cu4+n9z/HYrj+wdvZqrlp8Re477dFOfvz6T7lW3k1TaCG9iTBf/fM9xNIxGgP1xNMJltUspc5fm+sfNp4m8pw4eAHkSNdbtO2yB/ZUNJxL76Abyf8MRzHZG4w1Pg/n+/MndvbXrSZyeCNJHFQtup76UOEldqKpKM8eeIHqsqq8R49j7R/Ou4M9Pfv48es/4+rF67h0/oXs6dnHPS9/H4Dbz/o0cypm0Ro5zBO7n+KapVcSTcVy8/hB/jI5bdEOvvLnuwr+vW+9404CnqHrlMZScTYffoOV9Sfjdx/fOqZFXctvvGhCNf6mWv2TsTZS8U66W/5IInJw2G2CdWcQmvVXHNrxAIlsP4z6xe/n8I6B/kEuTyXushpcngqi3Vuxsv0BnO4As0/5H7kWndGwMmkO7/w1sd4dx964AH+VUDXjAty+WhwO97h1yh/JftAaOczXNtpLvdzzjq/mtYx07v8dich+auZflZt/au/mr+U+dzg9zFx2K4m+g7TttkfG9be2WZZFX/tmOvb9huHMW/V3hNs3E27bNOTfvqHpA7k+eIlIMy3GXo7D46tn5rJbj6tehWKQjLXTvPWHw3zDFqg+hboF78GyLDKpCC7P0BFKAPdvfXDIiMEL/F7O8R3fSKXBHC4fjUs24PU3FLzTP5rWyGHiqXhuctp+k+V8EE724XOVnfCI2dEYyxhYlkV3y9M4HG7Kq08lETmIw1WGv3IxydhhmrcOnfKisvEdhGZdRE/0EAd3/QcV/noeD/exKfuYfbbLecybjIamG/BVDLSIJaKHsNJxyoJz87bb07OPP+x9hhV1y/npll9R46tm/aLLh21lnON2stbnZWMsycFUmuF7mNpuPvVGVtafknczceWiyyn3BHKtsO9aeCnrFl7Kp566veBEvJ85/VaaQvZxvaNrN9995Ud506O4gbV+L28lUrz75BuHHfF955/v4VC0jSsXvZPLF1xylFIP0ITqBE2WE0ixTNX693W8Sfveh/Pm9apsXEuw7izc3srce537H6f38ED/GY9/Bk6Xl3h46PP36rnvwl+5JO/7o2VZaboO/oFEpIV4eHfB7VyeStLJgf4kNfOuwlcxH7c3VPA7Y2mk+0F3vIe+ZIRZwRnH3DYV76K37SWqZpyPw+nNJYUd+x4l3DbQmXtwDIJ1ZxIP78ktEDt35ZdwOAaShpa3/plEdOjs+b7KJmI9Qx9nANQtfB+B0EkFy9kfA8uyiPftJZOOgWXlWg2O5HT5yaSjQ953uYO4ykK5ZL68ZiVOVxnl9auJOVykM2m+/Pw3Wepx8e7gwB1zezpDbXYG67TLjzuTxLJSuDxVVM5YS6x3F9Eug714kc0bmEXtvKvw+AsvwzMSU/V8MJbGMgbJeAfNW4a2Ts5c9nEO73yQVDx/AWyHw82cFZ/L61IAdv+5ZCZFmctLd7wHT6yVtp2/whuYlbu5cDi9WNlVDgLVpxKsXcWh7b8Y8rfnnvYlHMMk4Du79zAj0EDA4yfpi/DYlj9x3qzV/O8X76be5eTSQH6rmDN0Kg92NPPOBZcQS8Wo9oVYUDGXjJUhFT1Id/NTWA4X9x14k4Pp4TujO7FbZlsLfH7erNVcvuASvrPpR7kk6jp5D2c1rmKTuZ+5iYEbq7Z0hj2eRkIV81nesJI/ml/SlUryRl9n7oj52prb86YUKUQTqhNU6ieQqV7/WO9uwm0vUz3n8mH7KWXSCTr2/jeRLruT8Kzlt5FJxzi0/RdYgNfXQOP8s7E8S4ecxMZaJpMk3PYKXn8jLk8Ql6eSvo5X7SQu23HesiysdAzncTZNj5Vi7Aex8F4Ovf2zYT+bferfYqVjHNzyfTy+BmYu+1je55lUjHDHq3jKaunY/yjpxNDRe/6qpUS7t+W9F5p9GYHQ8iFJs2VZ1NcHObh3e65160gz5GY8/sa81stw26a8fnvH4vJUUF6zgr6+g6TDdkfxTPl8/DMv4b6tD3Ht0nezqGp+wZbITDoBWLS+/XOS0YHFi6tmXEDljPNH3YLZvx/0db5JtPttrEwCtzeEv3IJvspFx/6BaWD0jz0zdDc/RU/rc8e1fd2Ca4j27iAe3suMpR/GWWCqhCOl4p043QGcroFE58glcobTuPTDeRP3HinWu5vOfQ/j9s8i2jX85Jv9vIFZNCy5ic59jxDr3ZV3UzjYC7EET0cTLPO4WR8cqF/GsnA6HHSmMzwZjTPP7aIzY3HZilu5+6XvEXQ4OLXMzRqfl9fiSUJOJ03ekZ+nu9MZtiRSrD75IywYNDVNIZpQnaCpnlCMVinUf7gkxcqksLBwOj0lEYNjKVYMjmylCoSW5/VJSkRacLr9uL1VhX4CsFsCu5ufoaf1TwDMPvWzOJwe0oke0oluIl1bCLcPXey3svE8PL46Ovc/PmxrE4DH30jdgmvw+IbvwN17+GXC7ZsJhITy2lVEOl4n1rsLt7c6lyj3tr2Ey10+5FFlaNYlVNSvPqFkPtr9Nl3NT5KMtua97/JU4vHVUjnjAnzBkXXgrq318+Zz9+Yla7nfdQepmnkhTncAy0oTCC0/ZgKXySSzLYsOkrFDdutdgUeik8VIj4V0sg8rk8DlrWLwYJTBfJVNWJkkwbozad890PG8vGYFtfOvHqOS2/a++o1cy72/aim+iibc3kriffvpabVXWXC6/Lg8FeBw4PJUEKw9nUDoJHpan8tNq3Kk/kfbYLc6H9zyvYJl8AZmEwgtI5Xozju+x1JZ+Vw8jecRDC7AmUnwqvkFDcmBRer3JFMkLVjo9eDKLrbdsGTDcR0TmlCdoFK/mJZ6/UFjAMWLQSadINy2iWDd6TicnjHpu1ZIX8fruWkmjsblqWLmSR/F4Sob8/JEurYS7dmOyxPEF1yIr2LBqH7PsjJ07n+McFvh2dz7+6h17n+C3sMbcTjcVDSuwVNWhzcwE4+vDrDnX9v/+tBRkYWU166idt6VJCLNJKKtBELLiPXssEeoxtsLlqmi/hxcnnJ8lU1HnVOuWI51LFiWRSrWRqR765DE6UgVDWsorz4Z76BRuOlUhO6WZ/AF5+OvXDLmLeN2X74wViaVN2VMrGdnboT0cBqaPsCh7ffnXtcvuo6y4HwcTg9Y1pDHhNGeHRzeMbC2a93C91EWnEcq3pE3uXHXwSdziRzYLXLusmrSqT4cDjdub4hw+yvEw3tIJXvzWpstbzW9eKj01VJbLaSTvXgDM/EGZuF0DW3JS6aTtEXb+cXWX3Px3As4o/E0HEC06y0sLAKhZcd1TGtCdYJK/WJa6vUHjQGUVgwO73yQWO8OqmacT6x3N6lEF05XGYtXvI/u3syE9VsbS5Zl0XngccKHX6QsuIBMKkoyZrdceQOzC46ABfBVLKasfA7dLQPzcZUF59HQdCMOhxPLypDo209X89PEw7txl9WSittD5n2VS4j1DJ19fqR8lUuorF+Nx9+I0+Ubto/PRCl0LPQeemHYUcbD6e9YPplYlkWk800ymQSRzjexMim85bPpa3sFa/D8UA4np1/yTdraI8f1m8loC25v6KjdFCzLIhFtxuufccyExrIs0okuHE4vTndgwlbHGEwTqhNUSheS4ZR6/UFjABoDmH4xiPcdoHXbfSP6jtdfQ+38a4/Zyb3rwO/z5ocbzOEsw1e5iETfASobzyUQWk46FcHjqycZO0Rfx2vEw/sKJnnushpq5q0f8ePKfpZlEW7bhDfQiMtTMeIEebj9oKf1+SErDgD4K+2+lx7/DOLh3fgqm/CU1eKrbCpKInAiMukY7XseJpOO469soqL+bBoaq6fVsTBS45VQ6cSeSik1BXkDM/NeB+vOpGbuOlLJXpxO+3Fm67afkog243CV4atYxEln3EB7R7zALw6omnURON0k+vYRrD0Df2iZ3QLhaxj2EVb/gBGvvxHv7Mty72dSMdKpXtLJMF0HnyQROUAq3sGht39G3cL3Eggts7dLxwm3bybRtx9f5WKCtauG/A2w+5Ud3pk/5N9fJdTOu2pIZ+9Ca4NamXTeZ+lkX14yVRacT0PTDQB5I0/hvELhmtScLh/1i64tdjFKgrZQTXOlXn/QGIDGAKZnDCzLItpt8AZmDtux37LSgCP3GKbYMcikYoTbN+U6RpcF5xEInUKsdyfR7rdy2/kqFhOsP5OywBx6Dj1HX/treMvnHPXxY7D+bNyeKhxON+lUHz0tz+BwluF0++05zCwLp9tHpONVyoKLqZl3Jcl4G63mX7J/cxH1i64b99HAk0Gx94Ni0xYqpZRSeRwOx1Hn3spvYSk+p9tHZeNaEtFDRDrfIB7eO+yccbHeHUMmzO1PpuyRovZotHSyl/Y9/0k8vGfYNTqtTJx0Ij5kRv9I119yU630q567riSSKTV+dO9RSik1oWrmXEEmHcsmSQ48/hnUzl+Px9dA265/JRFptpejirXjcLhwOJykEp043UFq51+da3Fze6toaPoAnfsfo6/j9dzEl/3zgZUFF9C26yH8lU24fXVYmQQz5p5Gy77X6D20EXAQCC2jdsG7J13yqaYeTaiUUkpNKKfbR8Pi64f9rH7RdSP6LYfDSc3cddTMXTfs53NP+0Le68raCuKZRsprTsPlLh/RwuZKHY0mVEoppUrOZJwjS01t4zfLnlJKKaVUidCESimllFJqlDShUkoppZQapTHtQyUiTuBHwGlAHPiIMWb7WP4NpZRSSqnJZqxbqK4GfMaYNcAXgO+M8e8rpZRSSk06Y51QnQc8BmCM2QicOca/r5RSSik16Yzp0jMi8i/AvxljHs2+3gssMsakhts+lUpbbrdOpqaUUkqpKWHClp7pASoGvXYWSqYAOjsjY/znh9I1i0q7/qAxAI0BaAxAYwAaA9AYjHItv4KfjfUjv+eAdQAicg7wxhj/vlJKKaXUpDPWLVT/AVwqIs9jN4t9cIx/XymllFJq0hnThMoYkwE+Npa/qZRSSik12Y1pp3SllFJKqVKkM6UrpZRSSo2SJlRKKaWUUqOkCZVSSiml1ChpQqWUUkopNUqaUCmllFJKjZImVEoppdQ0JCIFl0lRY08TKqXUtCMiJXtuExG/iPiKXY5iKuV//34iEgJqi12OUjLldzoR+bCIfEBEGotdlonUf+chIheIyLrB75UaEblNRO4QkYuLXZZiEZGPiMiNIjK32GUpFhFZLyLfKnY5iklEPgncBywtdlmKRUQ+D9wlIquLXZZiEZEPAa8C64tdlmIQkZtF5EMiMnMi/+6UTahEJCQijwDnAAJ8RUTWZD+bsvU6XsaY/hlZPw5cISKhQe+VBBGpFpFHgZOBt4EvisjaIhdrQolIlYg8DpyLfRx8UkRmFLlYxXImcKuILDXGZERkrJfWmrREZJaI7AQagFuNMa8P+qwkbrREpFxEfg7UYS+DFhr0WanE4EIR+S1wNtANvFDkIk0oEakVkd8Da4BlwGcn8iZzKicePmC7MeZm4CvAS8DtkFsCZ9oTkfcCSwALeG+Ri1MMM7H3gVuMMb8GXgZiRS7TRKsDdhtjPgT8GJgBdBS3SBNr0A1UN/BL4J8AjDGpohVq4rUBzwIbgdtF5F4R+QTk3XxNd27sff/nwPuBi0TkBiipGJwOfMcY8zHgX7HPkaWkGng7ez78e+zzY/NE/fEpkVANerz1sf4DBFgALBERvzEmDTwEhEXk+sHfmQ4K1B9gM/AZ4HfAchGRwdtPJwViUIN9Ael3CRAfvP10UiAG1cDD2f+/Dfhr4E4R+Uh22ylxjB+vQsdCtr/IGmPMR4GZIvKQiFxYpGKOqwIxqAB2AF/I/vcBYL2I/G1221LYDxYAi7HPA5uwj4v3i8hnsttO5xjclH37H40xT4qIF7iQ7M1VCZ0PQ0BERG7HTqguwX5ycWN223HdB6bEDjbo7uIS7LsvpzFmI3bLzK3ZzyLAE8B8EXFMpzuS4eqffX3AGPNH4A3sA+ddR2w/bRwRgy9m94FnjTEPAIjI+UDYGPNmdrspsW+PRIHj4GVjzCPZ93+L3cz9NHCTiJRNt9baAjHIYN+JbhaR9UASuAB4BqbfxaRADNqxzwP3GWP+2RjzInbL/RoR8ZTIfvAa9nXgOuARY8yfgW8C7yiBGHyu/1jIHvcJ4Dng8iO2nTYKnQ+BHwErsW82VwEvAp8QEd947wOT+qIzuC9I9oLZBuwHfpB9+w7gRhE5JRuouUD7dNl5CtR/H/CP2bcTAMaY3diPu5aKyCUTXMxxdawYiIgr+3ET8H0RWSEiDwKXTXRZx8tRjoP+GPQfxy8YY1oBP/B7Y0x8oss6Xo4Sg3uzb1dht9ZeBfwV8BfgqzB9LiZHicH3sm8/DjwgIhXZ1ycBzxpjkhNa0HF0HNeEb2B3Bzk5+3op8EqJxKD/utD/qPstoFdEAhNbwvF1HOeCdqAS+9HnYcAD/MEYM+7dQRyWNfnONSIyB/tk2AD8N/AodvJQC+wBtgPnG2O2i8jngNnYTb1e4A5jzJTuiHec9V9rjNklIm5jTCq7k60DnjfGvFWcko+dEcbAgd28L9n3f2CMebQY5R5LI4zBeuBiYB72BeXbxpgni1HusXScMXiHMWaHiKwyxmzOfm8psNAY83hRCj6GRrgfXIedVAYBF/BNY8yzxSj3WBrhNeE27IRqPlAG3GmMeboIxR5TI9kPsttfAdwC3JxNLKa0Ee4DP8Z+glWN/Rjw28aY3493GSdrC9UG4CDwKexOdZ8HIsaYrcaYCPaw4P+V3fa72C1V/2SMuWyqJ1NZGzj++qcBjDEtxpifTIdkKmsDx45B/x2ZD/uRz3eNMe+aDslU1gaOHYP+u7LHsI+FXxpj1k2HZCprA0ePwU+w682gZMptjNk2HZKprA0c/37w78CnsR/9rZsOyVTWBo7/nPhD7NbKbxljLpoOyVTWBo4/BmTPg/dNh2QqawPHf024Dbgb+DdjzOUTkUzBJGqhEpEPYnei2wEsBL5ujNkpIk3AR7H7C907aPsO4EZjzG+KUd6xdoL1/4Ax5rfFKO94OMEYfNAY83C238CUf8RV6scB6LEAuh+AxgD0WJhq+8CkaKESkbuAK7Dvsk4DbsJuqgT72ejvsTub1wz62nXAzoks53gZRf13TWQ5x9MoYrAdYJokUyV9HIAeC6D7AWgMQI+FqbgPTIqECrtD6f8xxryC3bnwh9jDXVdmO5Idwn6sE+4fsWOMecIYs6VoJR5bpV5/OPEY/KVoJR57uh9oDEBjABoD0BhMufoXfSbh7Ailf2dgRtdrgf/CHgJ8r4jcjD1qpxZwGXs46LRR6vUHjQFoDEBjABoD0BiAxmCq1n/S9KECEJFK7Ga89caYFhH5EvbkjY3AZ40xLUUt4Dgr9fqDxgA0BqAxAI0BaAxAYzCV6l/0FqojzMYOXJWIfA94E/iCmUZziBxDqdcfNAagMQCNAWgMQGMAGoMpU//JllCdj710wunA/SY7C3YJKfX6g8YANAagMQCNAWgMQGMwZeo/2RKqBPBl7Em4JsUz0QlW6vUHjQFoDEBjABoD0BiAxmDK1H+yJVQ/M9NkmYgTVOr1B40BaAxAYwAaA9AYgMZgytR/UnVKV0oppZSaiibLPFRKKaWUUlOWJlRKKaWUUqOkCZVSSiml1ChpQqWUUkopNUqTbZSfUkoNS0QWANuA/rW6/MDz2JP8tR7le08ZYy4a/xIqpUqZtlAppaaSg8aYlcaYlcBJQAvw/47xnQvHvVRKqZKnLVRKqSnJGGOJyFeAVhFZAXwSOAV7ja/XgeuBuwFE5AVjzGoRuRz4GuABdgE3G2Pai1IBpdS0oi1USqkpKztz8tvA1UDCGLMGaAJCwDpjzG3Z7VaLSD1wF/BOY8wq4HGyCZdSSo2WtlAppaY6C9gM7BSRT2A/ClwCBI/YbjUwD3hKRABcQMcEllMpNY1pQqWUmrJExAsIsAj4OnAv8FOgDnAcsbkLeNYYsz77XR9Dky6llDoh+shPKTUliYgTuBPYCCwGHjTG/BToAi7CTqAA0iLiBl4A1ojI0uz7dwDfnthSK6WmK22hUkpNJbNE5NXs/7uwH/VdD8wBfiki12OvTv8csDC73cPAa8AZwIeAB0XEBewHbpjAsiulpjFdHFkppZRSapT0kZ9SSiml1ChpQqWUUkopNUqaUCmllFJKjZImVEoppZRSo6QJlVJKKaXUKGlCpZRSSik1SppQKaWUUkqNkiZUSimllFKj9P8Bu9YYLnxQ9ecAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11320f400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"(raw / raw.iloc[0] * 100).plot(figsize=(10, 6));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Adding Statistics"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"sym = 'AAPL.O'"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"data = pd.DataFrame(raw[sym])"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"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>AAPL.O</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2010-01-04</th>\n",
" <td>30.572827</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-05</th>\n",
" <td>30.625684</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-06</th>\n",
" <td>30.138541</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-07</th>\n",
" <td>30.082827</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-08</th>\n",
" <td>30.282827</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O\n",
"Date \n",
"2010-01-04 30.572827\n",
"2010-01-05 30.625684\n",
"2010-01-06 30.138541\n",
"2010-01-07 30.082827\n",
"2010-01-08 30.282827"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"data['SMA1'] = data[sym].rolling(42).mean()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"data['SMA2'] = data[sym].rolling(252).mean()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"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>AAPL.O</th>\n",
" <th>SMA1</th>\n",
" <th>SMA2</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2010-01-04</th>\n",
" <td>30.572827</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-05</th>\n",
" <td>30.625684</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-06</th>\n",
" <td>30.138541</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-07</th>\n",
" <td>30.082827</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-08</th>\n",
" <td>30.282827</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O SMA1 SMA2\n",
"Date \n",
"2010-01-04 30.572827 NaN NaN\n",
"2010-01-05 30.625684 NaN NaN\n",
"2010-01-06 30.138541 NaN NaN\n",
"2010-01-07 30.082827 NaN NaN\n",
"2010-01-08 30.282827 NaN NaN"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>AAPL.O</th>\n",
" <th>SMA1</th>\n",
" <th>SMA2</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2017-10-25</th>\n",
" <td>156.41</td>\n",
" <td>157.610952</td>\n",
" <td>139.862520</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-10-26</th>\n",
" <td>157.41</td>\n",
" <td>157.514286</td>\n",
" <td>140.028472</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-10-27</th>\n",
" <td>163.05</td>\n",
" <td>157.517619</td>\n",
" <td>140.221210</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-10-30</th>\n",
" <td>166.72</td>\n",
" <td>157.597857</td>\n",
" <td>140.431528</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-10-31</th>\n",
" <td>169.04</td>\n",
" <td>157.717857</td>\n",
" <td>140.651766</td>\n",
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],
"text/plain": [
" AAPL.O SMA1 SMA2\n",
"Date \n",
"2017-10-25 156.41 157.610952 139.862520\n",
"2017-10-26 157.41 157.514286 140.028472\n",
"2017-10-27 163.05 157.517619 140.221210\n",
"2017-10-30 166.72 157.597857 140.431528\n",
"2017-10-31 169.04 157.717857 140.651766"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.tail()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113692898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data.plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1138cd898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data.dropna().plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"data.dropna(inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"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>AAPL.O</th>\n",
" <th>SMA1</th>\n",
" <th>SMA2</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2010-12-31</th>\n",
" <td>46.079954</td>\n",
" <td>45.280967</td>\n",
" <td>37.120735</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-03</th>\n",
" <td>47.081381</td>\n",
" <td>45.349708</td>\n",
" <td>37.186246</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-04</th>\n",
" <td>47.327096</td>\n",
" <td>45.412599</td>\n",
" <td>37.252521</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-05</th>\n",
" <td>47.714238</td>\n",
" <td>45.466102</td>\n",
" <td>37.322266</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-06</th>\n",
" <td>47.675667</td>\n",
" <td>45.522565</td>\n",
" <td>37.392079</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O SMA1 SMA2\n",
"Date \n",
"2010-12-31 46.079954 45.280967 37.120735\n",
"2011-01-03 47.081381 45.349708 37.186246\n",
"2011-01-04 47.327096 45.412599 37.252521\n",
"2011-01-05 47.714238 45.466102 37.322266\n",
"2011-01-06 47.675667 45.522565 37.392079"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Formulating the Strategy"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"# data['Position'] = np.where(data['SMA1'] > data['SMA2'], 'long', 'short')"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"data['Position'] = np.where(data['SMA1'] > data['SMA2'], 1, -1)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"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>AAPL.O</th>\n",
" <th>SMA1</th>\n",
" <th>SMA2</th>\n",
" <th>Position</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2010-12-31</th>\n",
" <td>46.079954</td>\n",
" <td>45.280967</td>\n",
" <td>37.120735</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-03</th>\n",
" <td>47.081381</td>\n",
" <td>45.349708</td>\n",
" <td>37.186246</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-04</th>\n",
" <td>47.327096</td>\n",
" <td>45.412599</td>\n",
" <td>37.252521</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-05</th>\n",
" <td>47.714238</td>\n",
" <td>45.466102</td>\n",
" <td>37.322266</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-06</th>\n",
" <td>47.675667</td>\n",
" <td>45.522565</td>\n",
" <td>37.392079</td>\n",
" <td>1</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O SMA1 SMA2 Position\n",
"Date \n",
"2010-12-31 46.079954 45.280967 37.120735 1\n",
"2011-01-03 47.081381 45.349708 37.186246 1\n",
"2011-01-04 47.327096 45.412599 37.252521 1\n",
"2011-01-05 47.714238 45.466102 37.322266 1\n",
"2011-01-06 47.675667 45.522565 37.392079 1"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1139533c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data['Position'].plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113636898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data.plot(secondary_y='Position', figsize=(10, 6));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Vectorized Backtesting"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"data['Returns'] = np.log(data[sym] / data[sym].shift(1))"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"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>AAPL.O</th>\n",
" <th>SMA1</th>\n",
" <th>SMA2</th>\n",
" <th>Position</th>\n",
" <th>Returns</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2010-12-31</th>\n",
" <td>46.079954</td>\n",
" <td>45.280967</td>\n",
" <td>37.120735</td>\n",
" <td>1</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-03</th>\n",
" <td>47.081381</td>\n",
" <td>45.349708</td>\n",
" <td>37.186246</td>\n",
" <td>1</td>\n",
" <td>0.021500</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-04</th>\n",
" <td>47.327096</td>\n",
" <td>45.412599</td>\n",
" <td>37.252521</td>\n",
" <td>1</td>\n",
" <td>0.005205</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-05</th>\n",
" <td>47.714238</td>\n",
" <td>45.466102</td>\n",
" <td>37.322266</td>\n",
" <td>1</td>\n",
" <td>0.008147</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-06</th>\n",
" <td>47.675667</td>\n",
" <td>45.522565</td>\n",
" <td>37.392079</td>\n",
" <td>1</td>\n",
" <td>-0.000809</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O SMA1 SMA2 Position Returns\n",
"Date \n",
"2010-12-31 46.079954 45.280967 37.120735 1 NaN\n",
"2011-01-03 47.081381 45.349708 37.186246 1 0.021500\n",
"2011-01-04 47.327096 45.412599 37.252521 1 0.005205\n",
"2011-01-05 47.714238 45.466102 37.322266 1 0.008147\n",
"2011-01-06 47.675667 45.522565 37.392079 1 -0.000809"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"data['Strategy'] = data['Position'].shift(1) * data['Returns']"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"data.dropna(inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"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>AAPL.O</th>\n",
" <th>SMA1</th>\n",
" <th>SMA2</th>\n",
" <th>Position</th>\n",
" <th>Returns</th>\n",
" <th>Strategy</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2011-01-03</th>\n",
" <td>47.081381</td>\n",
" <td>45.349708</td>\n",
" <td>37.186246</td>\n",
" <td>1</td>\n",
" <td>0.021500</td>\n",
" <td>0.021500</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-04</th>\n",
" <td>47.327096</td>\n",
" <td>45.412599</td>\n",
" <td>37.252521</td>\n",
" <td>1</td>\n",
" <td>0.005205</td>\n",
" <td>0.005205</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-05</th>\n",
" <td>47.714238</td>\n",
" <td>45.466102</td>\n",
" <td>37.322266</td>\n",
" <td>1</td>\n",
" <td>0.008147</td>\n",
" <td>0.008147</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-06</th>\n",
" <td>47.675667</td>\n",
" <td>45.522565</td>\n",
" <td>37.392079</td>\n",
" <td>1</td>\n",
" <td>-0.000809</td>\n",
" <td>-0.000809</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-07</th>\n",
" <td>48.017095</td>\n",
" <td>45.582089</td>\n",
" <td>37.462453</td>\n",
" <td>1</td>\n",
" <td>0.007136</td>\n",
" <td>0.007136</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O SMA1 SMA2 Position Returns Strategy\n",
"Date \n",
"2011-01-03 47.081381 45.349708 37.186246 1 0.021500 0.021500\n",
"2011-01-04 47.327096 45.412599 37.252521 1 0.005205 0.005205\n",
"2011-01-05 47.714238 45.466102 37.322266 1 0.008147 0.008147\n",
"2011-01-06 47.675667 45.522565 37.392079 1 -0.000809 -0.000809\n",
"2011-01-07 48.017095 45.582089 37.462453 1 0.007136 0.007136"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Returns 1.299757\n",
"Strategy 1.668989\n",
"dtype: float64"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data[['Returns', 'Strategy']].sum()"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Returns 3.668406\n",
"Strategy 5.306802\n",
"dtype: float64"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.exp(data[['Returns', 'Strategy']].sum())"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Returns 2.668406\n",
"Strategy 4.306802\n",
"dtype: float64"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.exp(data[['Returns', 'Strategy']].sum()) - 1"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1138cdda0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data[['Returns', 'Strategy']].cumsum().apply(np.exp).plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11396bef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = data[['Returns', 'Strategy']].cumsum().apply(np.exp).plot(figsize=(10, 6))\n",
"data['Position'].plot(ax=ax, secondary_y='Position');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Excursion"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"S0 = 100"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [],
"source": [
"S1 = 110"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.10000000000000009"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"S1 / S0 - 1"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.09531017980432493"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lr = np.log(S1 / S0)\n",
"lr"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.1"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.exp(lr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## A Backtesting Class"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Base Class"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [],
"source": [
"class FinancialData(object):\n",
" def __init__(self, symbol):\n",
" self.symbol = symbol\n",
" self.prepare_data()\n",
" def __repr__(self):\n",
" return 'FinancialData | %s' % self.symbol\n",
" def prepare_data(self):\n",
" self.raw = pd.read_csv('http://hilpisch.com/tr_eikon_eod_data.csv',\n",
" index_col=0, parse_dates=True)\n",
" self.data = pd.DataFrame(self.raw[self.symbol])\n",
" self.data['Returns'] = np.log(self.data[self.symbol] / self.data[self.symbol].shift(1))\n",
" self.data.dropna(inplace=True)\n",
" def plot_data(self, cols=None):\n",
" if cols is None:\n",
" cols = [self.symbol]\n",
" self.data[cols].plot(figsize=(10, 6), title=self.symbol)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [],
"source": [
"fd = FinancialData('AAPL.O')"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"FinancialData | AAPL.O"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fd"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"FinancialData | AAPL.O\n"
]
}
],
"source": [
"print(fd)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'AAPL.O'"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fd.symbol"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"DatetimeIndex: 1972 entries, 2010-01-04 to 2017-10-31\n",
"Data columns (total 12 columns):\n",
"AAPL.O 1972 non-null float64\n",
"MSFT.O 1972 non-null float64\n",
"INTC.O 1972 non-null float64\n",
"AMZN.O 1972 non-null float64\n",
"GS.N 1972 non-null float64\n",
"SPY 1972 non-null float64\n",
".SPX 1972 non-null float64\n",
".VIX 1972 non-null float64\n",
"EUR= 1972 non-null float64\n",
"XAU= 1972 non-null float64\n",
"GDX 1972 non-null float64\n",
"GLD 1972 non-null float64\n",
"dtypes: float64(12)\n",
"memory usage: 200.3 KB\n"
]
}
],
"source": [
"fd.raw.info()"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"DatetimeIndex: 1971 entries, 2010-01-05 to 2017-10-31\n",
"Data columns (total 2 columns):\n",
"AAPL.O 1971 non-null float64\n",
"Returns 1971 non-null float64\n",
"dtypes: float64(2)\n",
"memory usage: 46.2 KB\n"
]
}
],
"source": [
"fd.data.info()"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"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>AAPL.O</th>\n",
" <th>Returns</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2010-01-05</th>\n",
" <td>30.625684</td>\n",
" <td>0.001727</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-06</th>\n",
" <td>30.138541</td>\n",
" <td>-0.016034</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-07</th>\n",
" <td>30.082827</td>\n",
" <td>-0.001850</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-08</th>\n",
" <td>30.282827</td>\n",
" <td>0.006626</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-11</th>\n",
" <td>30.015684</td>\n",
" <td>-0.008861</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O Returns\n",
"Date \n",
"2010-01-05 30.625684 0.001727\n",
"2010-01-06 30.138541 -0.016034\n",
"2010-01-07 30.082827 -0.001850\n",
"2010-01-08 30.282827 0.006626\n",
"2010-01-11 30.015684 -0.008861"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fd.data.head()"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113af7438>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fd.plot_data()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### SMA Backtesting Class"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"class SMABacktester(FinancialData):\n",
" def __init__(self, symbol, SMA1, SMA2):\n",
" super(SMABacktester, self).__init__(symbol)\n",
" # FinancialData.__init__(self, symbol)\n",
" self.SMA1 = SMA1\n",
" self.SMA2 = SMA2\n",
" self.prepare_statistics()\n",
" def __repr__(self):\n",
" return 'SMABacktester | %s | SMA1 = %d SMA2 = %d' % (self.symbol, self.SMA1, self.SMA2)\n",
" def prepare_statistics(self):\n",
" self.data['SMA1'] = self.data[self.symbol].rolling(self.SMA1).mean()\n",
" self.data['SMA2'] = self.data[self.symbol].rolling(self.SMA2).mean()\n",
" def run_strategy(self, net=False):\n",
" self.results = self.data.copy().dropna()\n",
" self.results['Position'] = np.where(self.results['SMA1'] > self.results['SMA2'],\n",
" 1, -1)\n",
" self.results['Strategy'] = self.results['Position'].shift(1) * self.results['Returns']\n",
" self.results.dropna(inplace=True)\n",
" if net is True:\n",
" return self.results[['Returns', 'Strategy']].sum().apply(np.exp) - 1 # net return\n",
" else:\n",
" return self.results[['Returns', 'Strategy']].sum().apply(np.exp) # absolute return\n",
" def plot_results(self):\n",
" self.results[['Returns', 'Strategy']].cumsum().apply(np.exp).plot(\n",
" title='%s | SMA1 = %d SMA2 = %d' % (self.symbol, self.SMA1, self.SMA2),\n",
" figsize=(10, 6))"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [],
"source": [
"sma = SMABacktester('AAPL.O', 42, 252)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"SMABacktester | AAPL.O | SMA1 = 42 SMA2 = 252"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sma"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'AAPL.O'"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sma.symbol"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"DatetimeIndex: 1971 entries, 2010-01-05 to 2017-10-31\n",
"Data columns (total 4 columns):\n",
"AAPL.O 1971 non-null float64\n",
"Returns 1971 non-null float64\n",
"SMA1 1930 non-null float64\n",
"SMA2 1720 non-null float64\n",
"dtypes: float64(4)\n",
"memory usage: 77.0 KB\n"
]
}
],
"source": [
"sma.data.info()"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113972b70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sma.plot_data()"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"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>AAPL.O</th>\n",
" <th>Returns</th>\n",
" <th>SMA1</th>\n",
" <th>SMA2</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2010-01-05</th>\n",
" <td>30.625684</td>\n",
" <td>0.001727</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-06</th>\n",
" <td>30.138541</td>\n",
" <td>-0.016034</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-07</th>\n",
" <td>30.082827</td>\n",
" <td>-0.001850</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-08</th>\n",
" <td>30.282827</td>\n",
" <td>0.006626</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-11</th>\n",
" <td>30.015684</td>\n",
" <td>-0.008861</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O Returns SMA1 SMA2\n",
"Date \n",
"2010-01-05 30.625684 0.001727 NaN NaN\n",
"2010-01-06 30.138541 -0.016034 NaN NaN\n",
"2010-01-07 30.082827 -0.001850 NaN NaN\n",
"2010-01-08 30.282827 0.006626 NaN NaN\n",
"2010-01-11 30.015684 -0.008861 NaN NaN"
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sma.data.head()"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"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>AAPL.O</th>\n",
" <th>Returns</th>\n",
" <th>SMA1</th>\n",
" <th>SMA2</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2017-10-25</th>\n",
" <td>156.41</td>\n",
" <td>-0.004402</td>\n",
" <td>157.610952</td>\n",
" <td>139.862520</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-10-26</th>\n",
" <td>157.41</td>\n",
" <td>0.006373</td>\n",
" <td>157.514286</td>\n",
" <td>140.028472</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-10-27</th>\n",
" <td>163.05</td>\n",
" <td>0.035203</td>\n",
" <td>157.517619</td>\n",
" <td>140.221210</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-10-30</th>\n",
" <td>166.72</td>\n",
" <td>0.022259</td>\n",
" <td>157.597857</td>\n",
" <td>140.431528</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-10-31</th>\n",
" <td>169.04</td>\n",
" <td>0.013820</td>\n",
" <td>157.717857</td>\n",
" <td>140.651766</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O Returns SMA1 SMA2\n",
"Date \n",
"2017-10-25 156.41 -0.004402 157.610952 139.862520\n",
"2017-10-26 157.41 0.006373 157.514286 140.028472\n",
"2017-10-27 163.05 0.035203 157.517619 140.221210\n",
"2017-10-30 166.72 0.022259 157.597857 140.431528\n",
"2017-10-31 169.04 0.013820 157.717857 140.651766"
]
},
"execution_count": 56,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sma.data.tail()"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113d03588>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sma.plot_data([sma.symbol, 'SMA1', 'SMA2'])"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Returns 3.590379\n",
"Strategy 5.193925\n",
"dtype: float64"
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sma.run_strategy()"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Returns 2.590379\n",
"Strategy 4.193925\n",
"dtype: float64"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sma.run_strategy(net=True)"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"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>AAPL.O</th>\n",
" <th>Returns</th>\n",
" <th>SMA1</th>\n",
" <th>SMA2</th>\n",
" <th>Position</th>\n",
" <th>Strategy</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2011-01-04</th>\n",
" <td>47.327096</td>\n",
" <td>0.005205</td>\n",
" <td>45.412599</td>\n",
" <td>37.252521</td>\n",
" <td>1</td>\n",
" <td>0.005205</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-05</th>\n",
" <td>47.714238</td>\n",
" <td>0.008147</td>\n",
" <td>45.466102</td>\n",
" <td>37.322266</td>\n",
" <td>1</td>\n",
" <td>0.008147</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-06</th>\n",
" <td>47.675667</td>\n",
" <td>-0.000809</td>\n",
" <td>45.522565</td>\n",
" <td>37.392079</td>\n",
" <td>1</td>\n",
" <td>-0.000809</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-07</th>\n",
" <td>48.017095</td>\n",
" <td>0.007136</td>\n",
" <td>45.582089</td>\n",
" <td>37.462453</td>\n",
" <td>1</td>\n",
" <td>0.007136</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-10</th>\n",
" <td>48.922094</td>\n",
" <td>0.018672</td>\n",
" <td>45.671800</td>\n",
" <td>37.537478</td>\n",
" <td>1</td>\n",
" <td>0.018672</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O Returns SMA1 SMA2 Position Strategy\n",
"Date \n",
"2011-01-04 47.327096 0.005205 45.412599 37.252521 1 0.005205\n",
"2011-01-05 47.714238 0.008147 45.466102 37.322266 1 0.008147\n",
"2011-01-06 47.675667 -0.000809 45.522565 37.392079 1 -0.000809\n",
"2011-01-07 48.017095 0.007136 45.582089 37.462453 1 0.007136\n",
"2011-01-10 48.922094 0.018672 45.671800 37.537478 1 0.018672"
]
},
"execution_count": 60,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sma.results.head()"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113e96a58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sma.plot_results()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Re-using the Class "
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 17.3 ms, sys: 4.97 ms, total: 22.3 ms\n",
"Wall time: 361 ms\n"
]
}
],
"source": [
"%time sma = SMABacktester('AAPL.O', 42, 252)"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 31.8 ms, sys: 2.66 ms, total: 34.4 ms\n",
"Wall time: 32.2 ms\n"
]
},
{
"data": {
"text/plain": [
"Returns 3.590379\n",
"Strategy 5.193925\n",
"dtype: float64"
]
},
"execution_count": 63,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%time sma.run_strategy()"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [],
"source": [
"sma = SMABacktester('AAPL.O', 30, 252)"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Returns 3.590379\n",
"Strategy 4.784490\n",
"dtype: float64"
]
},
"execution_count": 65,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sma.run_strategy()"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [],
"source": [
"sma = SMABacktester('AAPL.O', 42, 200)"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Returns 3.823326\n",
"Strategy 4.906049\n",
"dtype: float64"
]
},
"execution_count": 67,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sma.run_strategy()"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [],
"source": [
"from itertools import product"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {},
"outputs": [],
"source": [
"sma1 = [30, 36, 42]\n",
"sma2 = [200, 226, 252]"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<itertools.product at 0x1139c7a68>"
]
},
"execution_count": 70,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"product(sma1, sma2)"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[(30, 200),\n",
" (30, 226),\n",
" (30, 252),\n",
" (36, 200),\n",
" (36, 226),\n",
" (36, 252),\n",
" (42, 200),\n",
" (42, 226),\n",
" (42, 252)]"
]
},
"execution_count": 71,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(product(sma1, sma2))"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"30 200\n",
"Returns 3.823326\n",
"Strategy 5.747850\n",
"dtype: float64\n",
"30 226\n",
"Returns 3.758894\n",
"Strategy 4.711734\n",
"dtype: float64\n",
"30 252\n",
"Returns 3.590379\n",
"Strategy 4.784490\n",
"dtype: float64\n",
"36 200\n",
"Returns 3.823326\n",
"Strategy 5.995365\n",
"dtype: float64\n",
"36 226\n",
"Returns 3.758894\n",
"Strategy 5.259912\n",
"dtype: float64\n",
"36 252\n",
"Returns 3.590379\n",
"Strategy 4.910189\n",
"dtype: float64\n",
"42 200\n",
"Returns 3.823326\n",
"Strategy 4.906049\n",
"dtype: float64\n",
"42 226\n",
"Returns 3.758894\n",
"Strategy 5.353615\n",
"dtype: float64\n",
"42 252\n",
"Returns 3.590379\n",
"Strategy 5.193925\n",
"dtype: float64\n",
"CPU times: user 456 ms, sys: 54.1 ms, total: 510 ms\n",
"Wall time: 3.98 s\n"
]
}
],
"source": [
"%%time\n",
"for s in product(sma1, sma2):\n",
" sma = SMABacktester('AAPL.O', s[0], s[1])\n",
" print(s[0], s[1])\n",
" print(sma.run_strategy())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Improving the Backtesting Class"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {},
"outputs": [],
"source": [
"class SMABacktester(FinancialData):\n",
" def __repr__(self):\n",
" return 'SMABacktester | %s' % self.symbol\n",
" def prepare_statistics(self):\n",
" self.results = self.data.copy()\n",
" self.results['SMA1'] = self.results[self.symbol].rolling(self.SMA1).mean()\n",
" self.results['SMA2'] = self.results[self.symbol].rolling(self.SMA2).mean()\n",
" self.results.dropna(inplace=True)\n",
" def run_strategy(self, SMA1, SMA2, net=False):\n",
" self.SMA1 = SMA1\n",
" self.SMA2 = SMA2\n",
" self.prepare_statistics()\n",
" self.results['Position'] = np.where(self.results['SMA1'] > self.results['SMA2'],\n",
" 1, -1)\n",
" self.results['Strategy'] = self.results['Position'].shift(1) * self.results['Returns']\n",
" self.results.dropna(inplace=True)\n",
" if net is True:\n",
" return self.results[['Returns', 'Strategy']].sum().apply(np.exp) - 1 # net return\n",
" else:\n",
" return self.results[['Returns', 'Strategy']].sum().apply(np.exp) # absolute return\n",
" def plot_results(self):\n",
" self.results[['Returns', 'Strategy']].cumsum().apply(np.exp).plot(\n",
" title='%s | SMA1 = %d SMA2 = %d' % (self.symbol, self.SMA1, self.SMA2),\n",
" figsize=(10, 6))"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 15.4 ms, sys: 4.93 ms, total: 20.3 ms\n",
"Wall time: 369 ms\n"
]
}
],
"source": [
"%time sma = SMABacktester('AAPL.O')"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"SMABacktester | AAPL.O"
]
},
"execution_count": 75,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sma"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 9.1 ms, sys: 2.09 ms, total: 11.2 ms\n",
"Wall time: 9.35 ms\n"
]
},
{
"data": {
"text/plain": [
"Returns 3.590379\n",
"Strategy 5.193925\n",
"dtype: float64"
]
},
"execution_count": 76,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%time sma.run_strategy(SMA1=42, SMA2=252)"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 8.74 ms, sys: 2.49 ms, total: 11.2 ms\n",
"Wall time: 8.92 ms\n"
]
},
{
"data": {
"text/plain": [
"Returns 3.590379\n",
"Strategy 4.784490\n",
"dtype: float64"
]
},
"execution_count": 77,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%time sma.run_strategy(SMA1=30, SMA2=252)"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [],
"source": [
"# sma1 = [30, 36, 42]\n",
"# sma2 = [200, 226, 252]"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {},
"outputs": [],
"source": [
"sma1 = range(40, 61, 5)\n",
"sma2 = range(200, 276, 25)"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[40, 45, 50, 55, 60]"
]
},
"execution_count": 81,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(range(40, 61, 5))"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"==================================================\n",
"40 200\n",
"Returns 0.927446\n",
"Strategy 1.223977\n",
"dtype: float64\n",
"==================================================\n",
"40 225\n",
"Returns 0.897775\n",
"Strategy 1.044881\n",
"dtype: float64\n",
"==================================================\n",
"40 250\n",
"Returns 0.880610\n",
"Strategy 1.102135\n",
"dtype: float64\n",
"==================================================\n",
"40 275\n",
"Returns 0.916527\n",
"Strategy 1.103374\n",
"dtype: float64\n",
"==================================================\n",
"45 200\n",
"Returns 0.927446\n",
"Strategy 1.027635\n",
"dtype: float64\n",
"==================================================\n",
"45 225\n",
"Returns 0.897775\n",
"Strategy 1.017211\n",
"dtype: float64\n",
"==================================================\n",
"45 250\n",
"Returns 0.880610\n",
"Strategy 0.975904\n",
"dtype: float64\n",
"==================================================\n",
"45 275\n",
"Returns 0.916527\n",
"Strategy 0.981706\n",
"dtype: float64\n",
"==================================================\n",
"50 200\n",
"Returns 0.927446\n",
"Strategy 1.000658\n",
"dtype: float64\n",
"==================================================\n",
"50 225\n",
"Returns 0.897775\n",
"Strategy 0.888494\n",
"dtype: float64\n",
"==================================================\n",
"50 250\n",
"Returns 0.880610\n",
"Strategy 0.904879\n",
"dtype: float64\n",
"==================================================\n",
"50 275\n",
"Returns 0.916527\n",
"Strategy 0.823014\n",
"dtype: float64\n",
"==================================================\n",
"55 200\n",
"Returns 0.927446\n",
"Strategy 0.955858\n",
"dtype: float64\n",
"==================================================\n",
"55 225\n",
"Returns 0.897775\n",
"Strategy 0.825584\n",
"dtype: float64\n",
"==================================================\n",
"55 250\n",
"Returns 0.880610\n",
"Strategy 0.791596\n",
"dtype: float64\n",
"==================================================\n",
"55 275\n",
"Returns 0.916527\n",
"Strategy 0.786713\n",
"dtype: float64\n",
"==================================================\n",
"60 200\n",
"Returns 0.927446\n",
"Strategy 0.919456\n",
"dtype: float64\n",
"==================================================\n",
"60 225\n",
"Returns 0.897775\n",
"Strategy 0.822075\n",
"dtype: float64\n",
"==================================================\n",
"60 250\n",
"Returns 0.880610\n",
"Strategy 0.802683\n",
"dtype: float64\n",
"==================================================\n",
"60 275\n",
"Returns 0.916527\n",
"Strategy 0.908826\n",
"dtype: float64\n",
"CPU times: user 182 ms, sys: 31.4 ms, total: 213 ms\n",
"Wall time: 575 ms\n"
]
}
],
"source": [
"%%time\n",
"sma = SMABacktester('GLD')\n",
"for s in product(sma1, sma2):\n",
" print(50 * '=')\n",
" print(s[0], s[1])\n",
" print(sma.run_strategy(s[0], s[1]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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#
# Simple Tick Data Client
# base on ZeroMQ
#
import zmq
import datetime
context = zmq.Context()
socket = context.socket(zmq.SUB)
socket.connect('tcp://127.0.0.1:5555')
socket.setsockopt_string(zmq.SUBSCRIBE, 'AAPL')
while True:
msg = socket.recv_string()
t = datetime.datetime.now()
print(str(t) + ' | ' + msg)
#
# Simple Tick Data Server
# based on ZeroMQ
#
import zmq
import time
import random
context = zmq.Context()
socket = context.socket(zmq.PUB)
socket.bind('tcp://127.0.0.1:5555')
AAPL = 100.
while True:
AAPL += random.gauss(0, 1) * 0.5
msg = 'AAPL %.4f' % AAPL
socket.send_string(msg)
print(msg)
time.sleep(random.random() * 2)
#
# Simple Tick Data Client
#
import zmq
import datetime
context = zmq.Context()
socket = context.socket(zmq.SUB)
socket.connect('tcp://127.0.0.1:5555')
socket.setsockopt_string(zmq.SUBSCRIBE, '')
while True:
msg = socket.recv_string()
t = datetime.datetime.now()
print(str(t) + ' | ' + msg)
#
# Simple Tick Data Collector
#
import zmq
import datetime
import pandas as pd
context = zmq.Context()
socket = context.socket(zmq.SUB)
socket.connect('tcp://127.0.0.1:5555')
socket.setsockopt_string(zmq.SUBSCRIBE, '')
raw = pd.DataFrame()
while True:
msg = socket.recv_string()
t = datetime.datetime.now()
print(str(t) + ' | ' + msg)
symbol, price = msg.split()
raw = raw.append(pd.DataFrame({'SYM': symbol, 'PRICE': float(price)}, index=[t]))
data = raw.resample('5s', label='right').last()
if len(data) % 4 == 0:
print(50 * '=')
print(data.tail())
print(50 * '=')
# simple way of storing data, needs to be adjusted for your purposes
if len(data) % 20 == 0:
# h5 = pd.HDFStore('database.h5', 'a')
# h5['data'] = data
# h5['raw'] = raw
# h5.close()
pass
#
# Simple Tick Data Plotter with ZeroMQ & http://plot.ly
#
import zmq
import datetime
import plotly.plotly as ply
from plotly.graph_objs import *
import configparser
# credentials
c = configparser.ConfigParser()
c.read('../pyalgo.cfg')
stream_ids = c['plotly']['api_tokens'].split(',')
# socket
context = zmq.Context()
socket = context.socket(zmq.SUB)
socket.connect('tcp://127.0.0.1:5555')
socket.setsockopt_string(zmq.SUBSCRIBE, '')
# plotting
s = Stream(maxpoints=100, token=stream_ids[0])
tr = Scatter(x=[], y=[], name='tick data', mode='lines+markers', stream=s)
d = Data([tr])
l = Layout(title='EPAT Tick Data Example')
f = Figure(data=d, layout=l)
ply.plot(f, filename='epat_example', auto_open=True)
st = ply.Stream(stream_ids[0])
st.open()
while True:
msg = socket.recv_string()
t = datetime.datetime.now()
print(str(t) + ' | ' + msg)
sym, value = msg.split()
st.write({'x': t, 'y': float(value)})
#
# Simple Tick Data Server
#
import zmq
import time
import random
context = zmq.Context()
socket = context.socket(zmq.PUB)
socket.bind('tcp://127.0.0.1:5555')
AAPL = 100.
while True:
AAPL += random.gauss(0, 1) * 0.5
msg = 'AAPL %.3f' % AAPL
socket.send_string(msg)
print(msg)
time.sleep(random.random() * 2)
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