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ODSC Europe 2017 (London)

Algorithmic Trading

With Machine & Deep Learning

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

London, 12. October 2017

(short link to this Gist: https://goo.gl/LAQ8Ze)

Resources

Quote

"Pichai said that as an 'AI first' company, this is a 'unique moment in time' for Google to combine hardware, software and artificial intelligence. 'It's radically rethinking how computing should work', he said."

Business Standard, "Google Ramps up Hardware Business", 06. October 2017.

Slides

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

Python

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

We are using Python 3.6. Download and install Miniconda 3.6 from https://conda.io/miniconda.html if you do not have conda already installed.

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

conda create -n odsc python=3.6
(source) activate odsc
conda install numpy pandas=0.19 scikit-learn matplotlib
conda install ipython jupyter
conda install tensorflow
jupyter notebook

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

Agenda

We are going to cover the following topics:

  • Reading Financial Time Series Data with pandas
  • Formulating an Algorithmic Trading Strategy
  • Vectorized Backtesting of the Trading Strategy
  • Random Walk Hypothesis
  • Prediction based on Logistic Regression
  • Neural Networks from Scratch
  • Prediction based on DNN Classifier

Data

You find the data set used under http://hilpisch.com/eurusd.csv (as provided by FXCM Forex Capital Markets Ltd.).

Cloud

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

Books

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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"# Algorithmic Trading\n",
"\n",
"## With Machine & Deep Learning"
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"**Reading Data, Backtesting, Random Walks, Prediction with ML & DL**\n",
"\n",
"**_ODSC Europe 2017_**\n",
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"Dr. Yves J. Hilpisch\n",
"\n",
"The Python Quants GmbH\n",
"\n",
"**12. October 2017**"
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"## The Imports"
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"import numpy as np\n",
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"plt.style.use('seaborn')\n",
"%matplotlib inline"
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"## The Data"
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"data = pd.read_csv('http://hilpisch.com/eurusd.csv')"
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" Time OpenBid HighBid LowBid CloseBid OpenAsk HighAsk \\\n",
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{
"cell_type": "markdown",
"metadata": {},
"source": [
"## SMA-Based Strategy"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Formulating a Financial Trading Strategy"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
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"outputs": [],
"source": [
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" CloseAsk CloseBid Mid\n",
"Date \n",
"2017-05-27 1.11788 1.11681 1.117345\n",
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"2017-05-29 1.11882 1.11842 1.118620\n",
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"metadata": {
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"outputs": [],
"source": [
"data['SMA1'] = data['Mid'].rolling(10).mean()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['SMA2'] = data['Mid'].rolling(60).mean()"
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},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
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" <tr>\n",
" <th>2014-01-08</th>\n",
" <td>1.36068</td>\n",
" <td>1.36069</td>\n",
" <td>1.360685</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-09</th>\n",
" <td>1.36701</td>\n",
" <td>1.36667</td>\n",
" <td>1.366840</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-11</th>\n",
" <td>1.36815</td>\n",
" <td>1.36755</td>\n",
" <td>1.367850</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-12</th>\n",
" <td>1.36718</td>\n",
" <td>1.36705</td>\n",
" <td>1.367115</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-13</th>\n",
" <td>1.36797</td>\n",
" <td>1.36783</td>\n",
" <td>1.367900</td>\n",
" <td>1.363068</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-14</th>\n",
" <td>1.36059</td>\n",
" <td>1.36042</td>\n",
" <td>1.360505</td>\n",
" <td>1.363210</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-15</th>\n",
" <td>1.36206</td>\n",
" <td>1.36190</td>\n",
" <td>1.361980</td>\n",
" <td>1.363473</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CloseAsk CloseBid Mid SMA1 SMA2\n",
"Date \n",
"2014-01-02 1.35931 1.35886 1.359085 NaN NaN\n",
"2014-01-04 1.35965 1.35905 1.359350 NaN NaN\n",
"2014-01-05 1.36286 1.36270 1.362780 NaN NaN\n",
"2014-01-06 1.36163 1.36148 1.361555 NaN NaN\n",
"2014-01-07 1.35755 1.35748 1.357515 NaN NaN\n",
"2014-01-08 1.36068 1.36069 1.360685 NaN NaN\n",
"2014-01-09 1.36701 1.36667 1.366840 NaN NaN\n",
"2014-01-11 1.36815 1.36755 1.367850 NaN NaN\n",
"2014-01-12 1.36718 1.36705 1.367115 NaN NaN\n",
"2014-01-13 1.36797 1.36783 1.367900 1.363068 NaN\n",
"2014-01-14 1.36059 1.36042 1.360505 1.363210 NaN\n",
"2014-01-15 1.36206 1.36190 1.361980 1.363473 NaN"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head(12)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data.dropna(inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style>\n",
" .dataframe thead tr:only-child th {\n",
" text-align: right;\n",
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>CloseAsk</th>\n",
" <th>CloseBid</th>\n",
" <th>Mid</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",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2014-03-12</th>\n",
" <td>1.38705</td>\n",
" <td>1.38661</td>\n",
" <td>1.386830</td>\n",
" <td>1.383361</td>\n",
" <td>1.367326</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-13</th>\n",
" <td>1.39184</td>\n",
" <td>1.39050</td>\n",
" <td>1.391170</td>\n",
" <td>1.385129</td>\n",
" <td>1.367861</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-15</th>\n",
" <td>1.39136</td>\n",
" <td>1.39040</td>\n",
" <td>1.390880</td>\n",
" <td>1.386785</td>\n",
" <td>1.368387</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-16</th>\n",
" <td>1.39228</td>\n",
" <td>1.39211</td>\n",
" <td>1.392195</td>\n",
" <td>1.388671</td>\n",
" <td>1.368877</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-17</th>\n",
" <td>1.39346</td>\n",
" <td>1.39330</td>\n",
" <td>1.393380</td>\n",
" <td>1.389401</td>\n",
" <td>1.369407</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CloseAsk CloseBid Mid SMA1 SMA2\n",
"Date \n",
"2014-03-12 1.38705 1.38661 1.386830 1.383361 1.367326\n",
"2014-03-13 1.39184 1.39050 1.391170 1.385129 1.367861\n",
"2014-03-15 1.39136 1.39040 1.390880 1.386785 1.368387\n",
"2014-03-16 1.39228 1.39211 1.392195 1.388671 1.368877\n",
"2014-03-17 1.39346 1.39330 1.393380 1.389401 1.369407"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
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hhBDRQoqrCDB2aDJ3XTWOy6ZmEaxLBmBf1dn3vDoucX7z7FXNJ7JruxBCCHGu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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119a14cf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data[['Mid', 'SMA1', 'SMA2']].plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Position'] = np.where(data['SMA1'] > data['SMA2'], 1, -1)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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6uDdX17Zb/8e59lrj+4Czfu0l58bGDgDnY/ZVWjY3G/Wc23Q+b1yM53qjn+LO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\nhBBCCMdI4RJCCCGEcMz/D/vLO8sMQ4JXAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1192326a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data['Position'].plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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AzbhxZkPAyh149r29bPYQFl40mklyJvaiHIw6I/87uJLius4dHutMJjIvvoQB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HQLeEuroPHJJxDNZvK/9FWMRcX9boeWJTQdvXOQ3n6phEYjgizib3bSGfZwoFVxEgn0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\ntqxitsnZuNZkcFh8nfk7waq39B1gLzLsR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"text/plain": [
"<matplotlib.figure.Figure at 0x119825080>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data[['Mid', 'SMA1', 'SMA2', 'Position']].plot(figsize=(10, 6),\n",
" secondary_y='Position');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Backtesting the Financial Trading Strategy"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Returns'] = np.log(data['Mid'] / data['Mid'].shift(1))"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style>\n",
" .dataframe thead tr:only-child th {\n",
" text-align: right;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: left;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>CloseAsk</th>\n",
" <th>CloseBid</th>\n",
" <th>Mid</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",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2014-03-12</th>\n",
" <td>1.38705</td>\n",
" <td>1.38661</td>\n",
" <td>1.386830</td>\n",
" <td>1.383361</td>\n",
" <td>1.367326</td>\n",
" <td>1</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-13</th>\n",
" <td>1.39184</td>\n",
" <td>1.39050</td>\n",
" <td>1.391170</td>\n",
" <td>1.385129</td>\n",
" <td>1.367861</td>\n",
" <td>1</td>\n",
" <td>0.003125</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-15</th>\n",
" <td>1.39136</td>\n",
" <td>1.39040</td>\n",
" <td>1.390880</td>\n",
" <td>1.386785</td>\n",
" <td>1.368387</td>\n",
" <td>1</td>\n",
" <td>-0.000208</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-16</th>\n",
" <td>1.39228</td>\n",
" <td>1.39211</td>\n",
" <td>1.392195</td>\n",
" <td>1.388671</td>\n",
" <td>1.368877</td>\n",
" <td>1</td>\n",
" <td>0.000945</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-17</th>\n",
" <td>1.39346</td>\n",
" <td>1.39330</td>\n",
" <td>1.393380</td>\n",
" <td>1.389401</td>\n",
" <td>1.369407</td>\n",
" <td>1</td>\n",
" <td>0.000851</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CloseAsk CloseBid Mid SMA1 SMA2 Position \\\n",
"Date \n",
"2014-03-12 1.38705 1.38661 1.386830 1.383361 1.367326 1 \n",
"2014-03-13 1.39184 1.39050 1.391170 1.385129 1.367861 1 \n",
"2014-03-15 1.39136 1.39040 1.390880 1.386785 1.368387 1 \n",
"2014-03-16 1.39228 1.39211 1.392195 1.388671 1.368877 1 \n",
"2014-03-17 1.39346 1.39330 1.393380 1.389401 1.369407 1 \n",
"\n",
" Returns \n",
"Date \n",
"2014-03-12 NaN \n",
"2014-03-13 0.003125 \n",
"2014-03-15 -0.000208 \n",
"2014-03-16 0.000945 \n",
"2014-03-17 0.000851 "
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data.dropna(inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Strategy'] = data['Position'].shift(1) * data['Returns']"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
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" .dataframe thead tr:only-child th {\n",
" text-align: right;\n",
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" .dataframe tbody tr th {\n",
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>CloseAsk</th>\n",
" <th>CloseBid</th>\n",
" <th>Mid</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",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2014-03-13</th>\n",
" <td>1.39184</td>\n",
" <td>1.39050</td>\n",
" <td>1.391170</td>\n",
" <td>1.385129</td>\n",
" <td>1.367861</td>\n",
" <td>1</td>\n",
" <td>0.003125</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-15</th>\n",
" <td>1.39136</td>\n",
" <td>1.39040</td>\n",
" <td>1.390880</td>\n",
" <td>1.386785</td>\n",
" <td>1.368387</td>\n",
" <td>1</td>\n",
" <td>-0.000208</td>\n",
" <td>-0.000208</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-16</th>\n",
" <td>1.39228</td>\n",
" <td>1.39211</td>\n",
" <td>1.392195</td>\n",
" <td>1.388671</td>\n",
" <td>1.368877</td>\n",
" <td>1</td>\n",
" <td>0.000945</td>\n",
" <td>0.000945</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-17</th>\n",
" <td>1.39346</td>\n",
" <td>1.39330</td>\n",
" <td>1.393380</td>\n",
" <td>1.389401</td>\n",
" <td>1.369407</td>\n",
" <td>1</td>\n",
" <td>0.000851</td>\n",
" <td>0.000851</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-18</th>\n",
" <td>1.38338</td>\n",
" <td>1.38321</td>\n",
" <td>1.383295</td>\n",
" <td>1.388929</td>\n",
" <td>1.369837</td>\n",
" <td>1</td>\n",
" <td>-0.007264</td>\n",
" <td>-0.007264</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CloseAsk CloseBid Mid SMA1 SMA2 Position \\\n",
"Date \n",
"2014-03-13 1.39184 1.39050 1.391170 1.385129 1.367861 1 \n",
"2014-03-15 1.39136 1.39040 1.390880 1.386785 1.368387 1 \n",
"2014-03-16 1.39228 1.39211 1.392195 1.388671 1.368877 1 \n",
"2014-03-17 1.39346 1.39330 1.393380 1.389401 1.369407 1 \n",
"2014-03-18 1.38338 1.38321 1.383295 1.388929 1.369837 1 \n",
"\n",
" Returns Strategy \n",
"Date \n",
"2014-03-13 0.003125 NaN \n",
"2014-03-15 -0.000208 -0.000208 \n",
"2014-03-16 0.000945 0.000945 \n",
"2014-03-17 0.000851 0.000851 \n",
"2014-03-18 -0.007264 -0.007264 "
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data.dropna(inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Returns -0.215763\n",
"Strategy 0.118549\n",
"dtype: float64"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data[['Returns', 'Strategy']].sum()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Returns 0.805926\n",
"Strategy 1.125862\n",
"dtype: float64"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.exp(data[['Returns', 'Strategy']].sum())"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
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iIQGAR7b+scfvORZIgCVGrXprA432JjIi01iVtYIrp13S4cdnPIrUegMss6OF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\nJElq2X8PVdmYcStw5wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119885a90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data[['Returns', 'Strategy']].cumsum().apply(np.exp).plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ne07T5TFNNAkNvJBlWQPcCUwHvtkvo3OakIZDEsQFv5BXaiyhsbcJgMOWOt7c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m4+c+0yptc4+dy9b8andy9ZM2Ncn2/z68uZX18ubeZ4TdrYFAyGCEci8elPfzBMKByJ19nsutL4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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119c1ef28>"
]
},
"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": [
"## Random Walk Hypothesis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Simulating a Random Walk "
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"S0 = 100\n",
"T = 1.0\n",
"sigma = 0.2\n",
"M = 200\n",
"dt = T / M"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"rn = np.random.standard_normal((M+1, 10))"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.01370042805259388"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rn.mean()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.98925162511609477"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rn.std()"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"rn[0] = 0.0"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"S = S0 * np.exp(((-0.5 * sigma ** 2) * dt +\n",
" sigma * rn * dt ** 0.5).cumsum(axis=0))"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"S[0] = S0"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 100. , 100. , 100. , ..., 100. ,\n",
" 100. , 100. ],\n",
" [ 101.32099721, 101.41947601, 95.5463546 , ..., 100.4678983 ,\n",
" 100.92474823, 101.9330723 ],\n",
" [ 101.23463987, 103.5092721 , 96.58726058, ..., 100.74987279,\n",
" 99.26092254, 104.61268223],\n",
" ..., \n",
" [ 146.79126023, 100.36004461, 90.45954636, ..., 94.15214104,\n",
" 65.83080107, 84.74038385],\n",
" [ 147.55735608, 99.56530547, 90.84067555, ..., 94.79626449,\n",
" 66.41936072, 81.60742871],\n",
" [ 142.67612362, 100.0373204 , 92.43988359, ..., 96.38441732,\n",
" 65.41297431, 81.81257203]])"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"S"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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1KH070AD8C8mlvfVWq/VbwH5g7iwygav2uHe7l/+gxpXunLrSbuX538pzh1t7/jL3W3Pu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3nHROTCnnwOQJNHI168pvQFdbR6C3h3IxHQmJDns3WXlmwqEY9unrI10QioV5rvslREHkvvI7\nL5v11St1bM5dhzPk4pddv0KSJKLxKC/1vQKcd2H4Y+N/j43zdYAqJxeZ3oCvsx1JktCo5Ny+ppD/\nfLGNN5rGeGhrOYJcTvqDD1+03+3FNzLmnWQsvZ2F3QG6X+shXZN42QarCvn0onvOp/RVcrbf9DGs\nHc/SaD2NQlRwU34d07fKCfzXt1nU6aehsJmPL1jE0plEKadXU8CWmmSynv4WPQWVTKQXUzzZifpA\nB10lJagz3oMtakApxZDCEfI6bQSUAntuzGJz/n38su1ZVBojrxw20+Nuh+JExP7ywOuMzI7hCrnn\nRDaTa5U8MAKSXM692z9JrjkPmShDkiS+cuoYQUlAKXXh0w0Q9xtIj9TSOmDnyZ1dlGSbuGNdERlJ\nV9dS0cjVVCdX0DLTxmcPfgEBAQkJd3cpSCK/PjDApx4sZF9yIqCaON3Bj5qgYKyFm00qbtm2gRcH\nEhP08ozFif3HKyH9EJtGBGTEkYCcvkZy0+5GHU1C7ipETB7HM1bA2vo0REFAq1ZQXZB0xetM06ZS\nZimhx9nHuHeSnUN7UYhythVcWXfqasg35l5VjfgcdhRuZnvBpssGXVG3m8n/SnTHFX3rO4gKJcsz\nFrFv9BCe8CwPV90z77LT9YD5hq049+7G8dqrmDZsRKbVEejuIjjQj27BQlS51ybxXw1SLEZkZvpt\nE4i1Cg2P1b2fbzR+D380wCNV95Fn+MPI5GWWYkRBpNPewy1F2wBwhzy8PJCw/Dg13UIgFqTMXMzv\nzpqmP1h5N/nGXLL1mRwYO8Kh8eOsz15Fum5+WV6A/OJkklN19HVOs3RtISbL1ct1LoefaDROSsbF\niwFBECirSefUkWFOHBhk+YYiFAoZ48NOTp8cxesJEQ5F0WiV3HZ/PQrln9c0oamoRFCpce7dja+j\nHXVePqq8PMjORMpOJ8mUjiRJPN31a8KxMKqIhHgsEXzFvV7chw5eZHs0ezIhwxCoK0GSJJTpGSTd\nchv23/yKtc0xChf/gQGVKKKtqZn3Pk6bD+u4h7zi3v/cVAAAIABJREFUJJJSE8FXjj6LPEM2oVgY\nq3+GHmc/lcllnJhqZDbiZWv+RtRyNeYbtuJrPUPWqSEoTGRX1+TdQGfLJOPDLlIz3vrC8lp4ZXAX\nzpCLrfkbydJfWSX/xsIt9LoGaZ4+w25D9lnuYw8l5kLqUq7uCfpu4S+m5Hc5CIJAaHiI4EA/hqXL\nkRsMpCdpONI6ycC4h02LclDIL2NRI4gsTV9AWe4CAnvfIBwMo5sZQ6FSsuETXyFJm3TJeepSqvBH\nAyxIraXUUowxIwNvcxOmMQdHsoIctDdTdmwIbSDGrqT1bHU0IY0OUrntBgqX1jN74hhhRLrDqQTG\nwizOsvDRJYVk9rSiammirTKD00lummytRESJEsUixofV2D0BfMktlFoKCcaC9LuHsAUdFJsKuLlo\nK+9ZeA+a1EyMi5aQXlo7NzlP+EMcm4kSj88w5t6JgECoZxFjE3H2nhojEIoxYfOxr2kcbzBCTWHS\nVdPBadoUnCE3EhLBaJC4I4uYtYBV1Rn0T3hQyTSM6Lupa/cwY/cSCsfZNnOCNMcI6uIinrPvRyVT\ncU/5HXQMO9l9xEGduphlp48jMxhIvvFm/K1nkCnkOFPyGOhSkRGvweWC+24ow3INIu85KEQ5zTOt\ndNi7cYRcbMhZzaK0unnt+4fgSt+d4/WdBLo6kaJRVHn5qLKyEuMvYwFrs1diVF35BfdupL9FRSII\n9p1pITQygn7hIqaf+SWRmWkyHnkURdKVA9j5wLn7dSa+923ioSDaqup5lxwuvHedQkddSjU1KZUs\nSJv/xHQlKEQ53c5ehjwjrM1eiUqm5LmeFxmeHeOukpsRBIEOezddzl4MSj0frn2YBWe7KkVBxKw2\nc8p6Gnd49i0R2wVBQKVR0N81QygYpaj80nJdKBih9dQ4Ko2cqXEPgz02KuszSH+TzpopSUt/5zRj\nwy6626YY7rfTeHgYtzNALCYRj0t4XEEsKTqS0/44BtJvF9ca94JMhtxkIubxEJ6cIDQ8hL+9Df+x\nY3h372HsxD7GB1o5GRumJLOKdUNyTP1WPMurUM+4CY2OYD7LYQIY//lPifp9/LDSwUzUTXVyOUfl\n44TbOiicDJOqSkJbWn5JheRaiLrdzDz/LJrSsnnzD3U6FQ1HBhkfcbFkdf7csxMEgTXZK8jRZ3Ns\nsgFRFNHKNTzb/SJxJB6pfgC1XIUiNRXf6WaE9h46y/RYI05uKt9Ma+P4deFR9Tj7ebb7RVLUSXyg\n5oGrNmuIgkhlchknp5potXVgC9ipSa7gI3Xvn6My/LFLfn/RARVAPODH13IaZUYGmqJiREEgEo3T\nOuDApFNSnH35zgZRENFpDYwcOk6KdxqVFKVdX4B5yVIM2kv5DaIgUp1cQdFZjosgCAgKJf7mJkri\nSYRcDqr6/IybDPjyF1DR+DLqklLS7n8IZUoKrn17SYo5OFMdAV8WPneYbUtzCT33FBGXiyOb30dc\nV4ZIBK1cQWikELcbQGBzTTkfXHgXm/LWUptSyea89WzJ30COIQuFqECdl4cqJ4e4JNHu9HLE6mLv\nhINwXGJtmkifs5Ub8jYw0WvG4Qlh1Cn57L0LqCtOZmhqltYBB5X5FlJMV14xm1RGlmYsZF3OKgZa\nUhnq1nLX+mLuXFfE8XYrnUNONKmzZFltpM/6KQ2MI2q0SNEorp4OjufHKNDUsCK3jid3dmFzB/mA\n0UG8t5PkW27DvOkG3EcOEejpIWXDRk72u3DPRkgxqbl7Y/G8J+I0bQpHxk/gCntQigoerX3obamJ\nvxOIh8NM/ei/QZIgHgckDEsSXZUKUXFNgdF34+UCoCooJDQ6gr+tFe/ppoQmTkUlyTff+gcfe+b5\nZ4g6nQT7+4jabejqFsxrYnrzveuVOtK0V+fLvBV4wz66nL0JmYionwNjR8k1ZPNA5d0sTqvHF/GT\nokniI3XvJ1t/cXYtXZtKh6OHLmcvtcmVmFRXF5W9EOZkLUO9NsaGnJgsmkuCncO7+zh5aJCuM1N4\nPUG8syEWr8pHb1RftJ1SJaeyPhMEGB9y4nYGyc43s/X2KtZuSfgLtjVNEI9J152M/E7jSuPeEXSy\na3g/Y94JpKx0fAvL6KhL5kRGkCFLHJ9BhUwU0c940YzNUDUQZHHFetR7TxCKh3l+lYrVSfWEOjtR\npKahzsujre0A4p7DDGQrsVZl0esaoN3eRcP0aTw5FqpnZATOnMHf0YamovIteUjOnmrA19yEedMN\naEqu7pBw4b3v+m0HwUCEDTvKLyr1AphVRo5PNjLsGeH4VCOReJS7y26lzJLQ7RMEAf3CRUQddqye\nCcaTRMrDWlx2zTvOo5oNe/ne6R8Rjkd4rP6RK9p5XQi1XE2OIYvm6TMsS1/E+6vvu6jJ5q8B1XXG\ntb5gmV6Pa88uBLkc47IVAGQma9nTOIbV4WfT4iu3FsfjEgf3nyHTn/Db22dZyJHxCJFYnEAoiuVs\nV82VoMrKwnPkEIrxafInQwhAo7GaXK+VdP802Z/8NHKjCUEUifl8RDq7SA+6cBdWMjEdo1rpI7r3\nVfT1C6i8cQdquZ6glEcgXsLEGTeQuO5lBSUUZyc6/swq0xX5T61OL8/0TzHhDyEKAqvSzezIL2R1\n1grqU6uQyURkosAn7qojO1VPVoqO3DQ9R1qnkCQu4iZdCYOTHp7Z00txlpFHdlQil4kkGVWc6Jwm\nLHhJwUq2LQKiSPanPoOoURNu7yAmCpwYr6BvKEDnsIv6XD1lDb9HkMnIePQjyNRqBJkcX0szKRYt\nh2YNxOIS6xdkUV04/3ZlUUiQ8gfcQ2zKXTdn4fLHgPvIIbwNJ7Fs20HMO0tocBDLDVsQ5PPr0nu3\nAipBJsOweClRux1/Z0LiIe2Bh1Gm/2ET8bkVuqqgELnZgr/1DFGHY44DczVc73vPM+YQiUfocfXT\nc9aH8UO1D5OktiAKIjUplSxKq7tsI4MgCKSokzgxdQpn0MWyjPm37wuCQHa+hZ62KYZ6bRSWpqA5\nS1B3Ofzs39mNwagmEonicQUBWHND6WXfQzK5SE6BhYq6TMprM1i4Ig/d2UyuRqtkqMeGdcJDzaJs\n5Ir5yYX8KeByz37CO8V/NP03HY5uuhy9NFibaZpuYWh2FJ9SorpmHTdu+zCFm2+luzaFDqbJG/MT\nPtWMFArhX1HLcYuHWKqF7DPjhMfHmchQcWbXs2TNRNDctJ071zzCpM9Kr6sfhSjn0RUfIW/TzUQd\nDvxtrXhOHENbUYncPD/9L8crvyc8OUHqvQ8gN8yv1BYORtn/Wje5hUlU1mdd8rkgCLjCbvpcgxiV\nej5a/4FLNOlEtRrDkmXEQ0FaYmPEpq3kmhcxPTFLSUXa3Hj7QxCX4vyk/SnGvBPcWrydJenXthw6\nh1RNMptz17Ewve4SusNfA6rrjGsGVFotnuPHCI+PJdr1RRGVQsa0y0/nsIuxGR8tfXbGbV7Kcs0X\nBVd9424ONo9T4x1E1OqIbLuTlgEHHUNOjndY6Rh2sro2A/FKxpeiiH7hYjSlZRiWLOX1QBonZbls\nHT9I2vp1mFad7wzRllfgHx5A3z+JRrKinQ2TfWoX8miYtPseID03h3KzDpN8lsY+L0FrgPIiNXZn\nFK1azpKKa3M1jlvdjPtD3FucwXsK0yk1JQIvtTxh+FycbWJFdQYa1XlORbJRzfF2KwMTHjYvvnyJ\n9EL8cncPk3Y/H7ypkjRLgnuVmaxlNhDBbFBhlfdSMRom46FHMCxcRHNMjtR6jPzJCIGces5YI8ik\nGA+7DiNZJ7Fs34G+NlGSU+Xm4j58kPBAH8G6FYw5QzywpQzzWxSkKzDmYlIa2Zi3dt66U28VUjTK\n6NceJzQ2hram9pKgXYrHsf7kR8QCfrI+/BhEY/g7O1BmZqPKvTYvC969gAoSY1lbV4/z9Z0Qj6Ot\nrkH9B/Knzq3QLVu2kX7/g/haW/B3tGNYtuKKfn7ncL3vXSaIVCaVsSJjMTEpxqK0urdUvkvRJNHv\nGqTL2UuZuZhkzfxFNtUaBeYkLb3t04wNOympTEOhkHF4dy/2GR+33lNP7dIcHDM+MrKN15RZUKrk\nl+0aDIeijA46MSVprgt35nrhzc++zzXId0//GG/Exy1F21mXvZIMbRrlllJuKtrK3WW3U5tSiVKm\nQBRE8i351C3YjGHBQvydnSDFKXns0/T6x2j1DVAmpqHqH0V2vJkMWwRBpaTyw59BoVCyKK0Og1LP\nptw1FJsLERUKDIuXIDOZ8Z5qwHPiOJri4jnF/itBikaZ/sWTyC0Wkm+/c95Zoe7WKQZ6bCxckXfF\nZ5ZvyEWv1HFP+R1k6q48NjKySznavptRbYhlSSuYGHSTlmkg5RrOEtfCpM/KU50v0GHvpjKpjHvK\n73jLWa8rlQb/GlBdZ8znCw5PTBDs70NXWzfH+UgxqTnYMsmE3cfYjJeuERdLK9MxXlDO29M4Sos1\nzAppEsuaNSy7eR0rqtKpyDMTCEfpHnGhVckpuULZEBJdGqqsbPyGFH50zEZe1Mni2V6yPvpxRPX5\nEpogihgWLmaw8QBZE06K/BNIsThJO3ZgXrd+bkC+1PcSo31KYl64f2s1XUNOPL4wW5ZeexLePWYj\nGIvznsIMZOL8BrggCARCUdqHnKRZNORf5cU7bvPx9O4eCjON3LW+aO6aBUGgvjiFBQXZ/MZ+mMll\npWxe9V4i0RjfPvJ73MlOykdClM50UVWQxHJPF6rhHnR19aQ/8PBcCUiQyUCS8J1poaY8k013byI3\nZf4p9nOQi3IKTHnXLZgC8J5uxrXrNYKDA8iNRtSFRUQcDia++x/YXnge555dRG02DCtWYlq1BrnJ\njOuNPUix6EXCp1Ishr+jDbnFcokP2rsZUAGExkZx79ub+Ht0BNP6jfPyZrsSzq3Q0+5/ELnZgkyv\nx9vYgBSLXtNE992693MNF+c6ad8K0rSpHJ08yXTAxsrMJW9pUrGk6IiEYwz32elttyJXyGg+PkJK\nup4dd9QSR6KiNuOyPKv5Qm9QcaZxjGgkRnntebJwKBbm9aG9OIMusvWZf3LioBc+e1vAwbeafkA4\nHubhqntYn7OKTF06ZZZiSi1FJKktc5pzb4bcaMK8fgPmDZtQmszUpVbTauvkuNGBJ0kLsShJPgnL\n+k1z41EQBAqMuReJAwOoCwpQZmfjbWxg9vgxAn19ROy2xLi+TBnQ19aK58hhjCtWzZmRzwdH9vTh\n9QTZsKMcxRWyigqZgiJTwTVlYERRxN/YSK8xhBElgRE1Wr2KgpK3J1AK8Nv+nTzZ/gzTARul5qI5\nJfR3Cn/sgOovRjbhatBWJ4iq9t//bs6bLy/dwBN/u5p/e2wl792YEC3sHnHO7SNJEs09NkS1muKv\nfZ3U/8/ee4fHdZZ5/58zvRf13qxqW7bl3rvjkub0kEIJkEJggQUWFnbZF/YHC/vSdvlRQ0gnhYR0\nJ3bc4m7LsmT13rtG0sxomqad94+x5SiSmyxZdjKf6/J1WXPmnPM8c2aec5/7uZ/v9467AIiN0LAg\nJ4Yv3zQTnVrO6wcb6bOGfLMG93xA/7tvE3CElp+6amto+fF/0PKjf+e1HSUA5A7WYVy7fty0sESp\nJPiFu6hLVlKVlc/v0m6nddY5/zxvwEtFfy2+/gAShYQ+uUhOqhmLzYPNMTzmeB/FEwjQ7faSpFUi\nu8Rg6iwr8uMRgIOlnRd8346jLQDctCx13EFYIZWTok+izdXJcMDLu8ea8OpbaEw1EP3oY0i0WiJO\n7kHfVoM6N4/4xx4fY5ZrWrsOiUaD+8BeZqdcem3K1cZ+5BAAErWa3pf+hvXDfbT+9Me4a2uQqNVI\nFAoU8QlEbrsJAEVcHMqUVJwV5SPfH1EU6f3bc3T85lf0PPv0dHVlhLPTffLoGPwWC7YD+yd8LNHv\nx1lejjwmFnls6Gaum78QeVR0SB3afn5fr+uFdGMKc6Nm0WhrZm/bwcvef9m6DJauy8Dl9I4YHi9e\nnY5wmb/f86E3qohLNNDRYsV5ZvxosrXwsxO/YUfzbp6tepnfljyBxd0/KeebbALBAE9X/A1PwMN9\nuXde1tTqWQSZbCTg0cm1PD73i+hVRiqTJPC5u8n+3Z+Jvuczl3Qs/YJFJH79n5FHReMqL6X/9ddo\n/cmPCAyN9Wi07g09mBiWX7p+lcPuoaPVSkKKCfU4dbwTYUlsAWp3kBOeQiRSgd7Oif/uel0WdrXs\nI0Jl4tE5n+frBY+MkS+53glnqABFbByexgZcFWWIPt+I15hSLkWrkqPXytlT1I5CLmXRmamzDouT\nd462UJAVzdKZY5d6KuVSzHolJ6p66ep3MSfYQ8+Tf8ZdXYV1725cVZUMvPk6AZuNep+W9wPJxHgH\n2WI9ReKjX0GiUo05JkCkMYanZCU0REpx9qbicHkRBDha3sOJpiZae+0EBmLQxmpxGWTkG3WU1VvI\nSjIRH3n+bE3zkIfi/iHmROjJNF5YBuHjqJUy6jts1LRaWZQbM25Rfp/VzTPv15AQpeXejVnnfart\ndvXSaGvGG/Cyt6IWTF2siF/MorkbMa5cTdDjQR4VTcLDj43rHyjI5ASHh3GVlyE3GpEmpY5zlunF\nb7fT+/yzKJNTiPvCF7EfPYzzdAni8DBRd91D/MOPYd54A6b1G5B+pHYi6PHgKi/D09yEJjcP24H9\nDL4X0mHxtrehzs0bJVR4tTNUA+++ja+3h+TvfBf7saN4GuoxrV130Zovv3UQ28EDWF59hf43/4Ey\nJRVfXx/2QwcwLFsxMqUrCAJIJDhPlyAoFGhy88Y9nhgMolbJcHuufY2lTNMMCnuKKbVUkhuReVHn\ngY8iCALxSUaS0sx0tlqJTTSwcEXapF53vz9Aa+MAOoOKdmkjvz/9FC6/m3XJK9HJNVQN1HKkq5D5\nMXNGmWFPJ2f7v6PpAwp7SlgYO4+b0m+YlEyaRq5mXnQ+GaY0ViUuRZBKL+u48uhoTOs3hrK3Mhmu\nygqCbhe6uQUj7/F2d9P30guoMrMua2FHRXEn7c2DzFuSTEz85DxMSmUKBg7upzleRrIniyGLl3lL\nkpFcoDb4fBzuPE7NYD13ZN0y4lwwWYiiiOPUSbQRJobF6fPyC2eoCE2nxT/yGPLYOAbf34H92JFR\n22NMasx6JTWtg4hiyHX7VG0fAPOzz93AfIODWD/chxgIiaYtmRnL7IwIKpoGOPryDpBKibjpFqQ6\nHe7qKpRp6UR/5wd8kLUFQQyyrecwkWvXITOef1BVy9RsTluPT9GP0RSgutXKX96p4v0TrRw56cDX\nEtLjyM0wY/X60ZhDgVlDh+2Cn0GLI5RFS9WPH8hdjFVzQiuZdp9sG7PNHwjy9HvVBEWRbUtTz1tT\nBjAvOh+5RMa+9kOICRUArEkOTXFJtVpiH/gsCRcIOAHMGzYhKBR0vP4mov/au6kOHT8KgQCG5SvR\n5OYR85kHkJkjiH/sq0R8xHbn45jWrkc7dx7u6ipafvgDLK++gsxsJv6xxwHofeG5ke/e1Ub0+3HV\n1iKPi0OZnELE5i0EhoYY/GDXBffzWwdp/uEP6Hv5Rdz1dfhtNjp+80v63/gHwJipPeOKVUi0Wqz7\n9jB0qghneSnuxkb81kH8Nhv9b79J43e+SfHXvknQe/WCyYliVOr5wqz7EEWRJ8tfYMh7+eKJcUlG\n7ntkCdvuHFuLd6XMyI1BEKCusoe3G3cilUj5esHD3Jl1C4/O+QK3ztiKN+DlZE/xJR1PFEWerXyZ\nP5Y+NTKWfpwhr4OgGBx3W1AM0uHoonqgjuLeMmzDY7M7AA3WZt5v3kukysy9E6jRuRCRavMFjbQv\nBZnRSOQt21EkJmE7eAB3Y+PItrMiueYNm863+xh6u+wUHmxCqZJd0TTvx1EmJTOvQ0DuF+mQNiOK\n8Mt9f+Fw53EcQ8O0Nvaf9zp+nOLeMiSCZEo0o1wVZXT94Xd0v79z0o99OYQzVGeQyBVoZ83CfvQI\njtMlmDdsHHmyFgSB1p4hGjrtLMqNQaeR89SOKvz+IJ/dnDtSiG159RUG3noDiUKBOisbQRCINKg4\nVNaF1ONmydq5RG2/A9O6DegXLyVi6438o2SAylYb25Yks2plHqY16y66LDxZn0Rh9ykc0i4Wxc1h\nzdxktixJosy/F7l6mPW5s1kzN4FTA0NYfH4sDYOIwKo5Y1d9ALg8ft6v6cbq8DJTpWZvUTt/3VHF\nkbIulufHI7uEp5EYs4aT1b2UNw2QEqsbyYaJosiT71ZRUmehICuK21ZnXHAgMqtMrE5cTlsb9Aw6\nyY/OY3360oue/6NIlEr8ViuuygrUWdkoYsYW5It+P4jiZWvDTAa9zz9DwOkk/qEvIVEqUaWnY75h\nM8r48a/PWQSZDP3iJcjNETjLyxBkcpK/9S9ocmfiG+gP+erp9KgzQkugr2aGytPUiG3/XvQLF6Ob\nMxdVamroRlFbg2HV6nGziQADO97FVVmB+YYtJHzlq2hn5+MoKsRn6UOiUhFz/4OjrpEgk41kIB2F\nJxg6dhT7wQ8Z3LWTwV3v466pRvR68Q8NIVGpUGdlj3vea4lIdQRSQcppSwUdjq6QLchl3qzP2knB\n5F53uUJKV7uNrjYbHaY6FibNYV3yqpFzJuji2NN6EJffzcrEc79Tb8A3buHwka4TvN+8h16XhYIz\nBdwfpd7axE9P/Jqq/lryIrJRy0Y/OL3e8C7PVr7Mie5TnOotpcPRxZL4BaPeo1LL+PXxP2P3DvHY\nnIeI0Vyb9jqCRIIiMRH74YOhmsMzGfjuJ59AZjAQ+8BnL2l8cg4N89aLp/F5A9z1+YXoTRN7KB63\njYKAr64eeVMHrtQkZBYTNkU/x9yH6d0np/aUheFhP8kX0SHsdw/wRsMOciOyWJm4ZNLad5beF57D\n19dL+pe+gF95+XWzl0M4Q3WJKOLiMd+wBXF4GMep0bYEuSmhmqbqViuVzQP0WT0snhmLRnWuhsdd\nWwNA/1tv4O3uAiDe2oLW76ZOn4pp681A6KagTEigx+ph36kOYiM03Lp6Brp5BWNqgsZDLpFxy4yt\noBtAklrGhgVJSA1W/IY2Viw0cM/6LNKNGpZEG7H5fEi1cho67bQPucccy2J18/0njnH6w1b6C3v4\n31dOs/tkOw6Xj/Y+J28darqkz04uk/DY9tnIZRL++m4VFpsbURR59cMGjlX0MCPBwMO3zEJyCfUd\nGrmanoZIaFrElwruvKTzf5yz3nGOcewlRL+fpu//C52/+99LfrqaLDytLQy3taGbM2/UdN6lIggC\nxtVrSP/pz0n7z5+MKJFH3XEXEo0Gy+uv4jrzPbyanK2fOjsNJ1GpibjxFoIeDwM73h13n+DwMNb9\n+0LCrNtvR2Y0ocmbSfJ3v488Ng7j6rXj/h4itt1E7Oe/SPQ9nyHq9jsxb9qMbuFiNHmziL73ftJ/\n/ktkej0DO94Ztz7lWmRT6lpmReZSNVDLzua9Ez6Ow+tkX+MRjnQWUthdzMmeEo53FVHYXYw34JvQ\nMTPzQg8kxv541iatGLVNLVOTbZ5B21AHA55QjWlhdzHf/PAHPFH2HH2uc/VVFvcAr9W9PfL36b7y\nUccKikH+XvsmQTFIk72FnxX+D9UDdSPbA8EAx7uK0Mo0bEvfRJw2lprBeuze0dd4T+MhOhxdLI1f\neFkm1NOBJjtnxDO2+d/+la7f/xZx2INp3fpLuhe4nF7ee60cl8PL0rUzyMqbfM0wTXYusxo93K0P\n1RIvUC4h3ZtD0CZDRKTsZAe73ionEBg/qwhQ3FcGMEaiYTIY7ujAVVGOOjsHXUbGpB//cghnqD6G\nzGTGunc3Qa8Xw7LlI6+rVTJ2n2xHIZfQ3DVEV7+Lz27OHVHgDgwNYXn1FaR6PUGPh+G2NsRAgJ4n\nn2BQoadNFcPMjMhR4pfP76qhvc/J57fkkBRzeTfXeG0sFWfUmPvdA3Q6u0c0PaLVkQiCQK5Jy9bc\nRErqLQz0u+jTCCxNOvck4fL4+L8vlWCxeVDFa0hOMLA4I4qblqdx/6ZsCqt7KWscYG5m1CVJDxi1\nCgwaOYXVfTR02GjqGmJPUTuxZjX/fO88RBEU46w8sTu9PP9BDc3ddvJSI+i1unn9QCOz0yNYkT8x\nyxGZ2Yz9w314e3owbxpdP+FpbsK6aye+nh4UsbEoky5NhuBKEINBho4doff5Zwm6XETdcReK+In1\nDUJaMVL1uZoViVKJIi6eoRPHGTpxDFVaOqa05KuWoep/6w38Fgux9392JBulTE7BfuwI7uoqDMtW\nINWMrrGxHdiP41QR5s1b0c46p2AuMxoxb9h4XmV0QSpFlZKKekYm6qxstLPz0S9chGH5CtQZM5Cq\n1ehMWgZPhFYEamdPvdL9lSIIAnmR2RT1nKbMUkmGMW1cocOQf9kOhnyOUYKhDq+THU27earyRY63\nF1NmqaSkr5ySvjJOWyoo6StHIZWTabr8G45b7qCmuA9tUM/GVWMLuz1+DxX91USpI0nWJfJE2bO4\n/G66Xb0c7DhGl7OHfs8gO1v2YnEPcE/2dqoH6nD6XKz6SFbrcOdxjnSdYEncAlYkLKHUUklhTzEL\nYwvQyjVUD9RxuPM4y+IXcVvmjQTFIJUDNUSqIkg7Y/Hk9Ln43amnkCDh4fzPT+oKsqlCnZ2Nr7+f\n4dZWfN1dCHI58V965LxZ3bN0tlp5++XT2Abc5ObHsXRtxpRkpQW5HNuH+1EZtDQFYvAPB4kNJuGw\nD9OccwKlR4ujU6S4o4KIFAUmpXHM7/a1unewe4e4P/euiwoSXy79b7zGcEsLMffeh3lGWniV37WE\nIjYWVUYGrsoK/DbryOvRRhWRBiWVzQOU1FlIidWRHn8uCHLXh56kTOs3oitYgLuult7nnkaiVrN8\nS2jQOFVrGXl/a88QJ6p6SY3TX5Ig5scRBIGHZt9Pij6J491FHO0qRC1TkfWxAdOglLMlPzSV1Ng4\nSNlgqEbDHwjy+zfK6bQ4yZ8Vg2lmJFtWpXHZ4u85AAAgAElEQVTvhizmZkahUcn53JZcgqLIUzuq\nGLB7sNjc9Frd9Ay46Bl0ERwnu7N6bgJzMyNp7BriwOlOUmJ0fOczBRyv6OGbvz1EedPoFUHFtX38\n+5PHOVzWzTtHWjhZ3cvp+tDnNDdr4srWglRKxOJFBGxWPM2js2zuunOmtn0vv0TA6ZzweS6G3zrI\nwHs7aP7h9+l+8gl8gwOYN21Ge5Fl/xNBVzCfhMe/BsEgnb/9DdbSskk/x0dxlJ7G8ubrOEqK8TTU\no0xOHpV1k8jlRN16O6LfT/+br4/aVwwGGdz9AYJMdl5bjSupUYnbshl5dDTWfXsZ7rzw6tNrBZ1c\nyxdnP4BEkPB0xYs4fKO/l0ExyHNVr7Cn7QAvVL86srrO5XPxs8L/4YPW/ailSu6fcxsP5t3NvTm3\nc0/2du7LuQO5RMaJ7lMTysgetRzHYexD4lAxYHESCAQpPNhERXEnwWCQ/DM1MWV9lZzqLcXiGWBl\nwhK+OPsBzEojRb2neb3+XRptLcyLns2qxGXkRmTR7ugc1Ye3G3eilCq4dcZW1iQt54G8uwiIAT5o\n3Q/AyZ7QSuhFcaHfTkFMPgICRT2nR9r6btMuHF4nW9M3YryALdO1hExvIOHRrzDjN78l6Vv/QvJ3\nv3/R7HVtRQ9vvViC2+ll6doM1m7LmTL5CmVSMhK1Gk9NNTHxeuxWD91tdpLTzXxv68PM3mrGr3UT\nbNHxh/0v8utTf8Dt9+D3BQgGRQY8gzTbW8kyZaBTTO50XGBoCPvRI8ijo9F+pLB/ughnqMYh6PXi\nKitFFhExUo8SqqNy0NQ1hAjcuiqd9I+spLAd/BBPQz2RN9+KYfmK0EWOiCDp298jPied3UXtWGxu\nNi1MRhAEnn6vmp5BN1+8MY9Y88RWx2jkapbFL0QURRpszSyOW8Dc6NFeZVqtEq1Cwr6SDtx2L/1m\nOYtjjOw60cqB013My4wiIT+Kbo+XzUmR6OTn0szRJjX9Ng9lTQPsKmzjg5Pt7D7Zzp6i0L9hX4DZ\nH1MhFwSBYxU99Ay6iTWr+bfPLUSvUfDy3nr67R5q2qysmpOAXCbh7SPNPPN+DcEgbFuWSnOXnfKm\nAQbsHqwOL5/dnDtKRPSyPx+tEsvBQ0h1+pGVmwAD772Lr6cb0/oNuGuqz6yymfwAx7p3N+2/+gWu\nygpEjwfD8hUkfOWr6BctmbLBTxEbhypjBvbDh/BaLOiWLr/4ThNAFEXaf/YTXOWlDJ04DsEg+iXL\n0M4endJXJCbhOFWEq6oC1YzMkXo2Z8kpbPv3Yli+EsPSZeOd4orQ6dUMy9U4Ck9gP3wQQSJFlZ4+\nLTVzl4NZZUQqkVJqqSQoBpkZmQOEPu9X697iaFchZqUJl9/F4LCNBbFzebHmH9TbmliXvJJH53yB\nRemziZBEkWpIItWQTIohiQ5HF/XWJvKjZo6xuhFFkX7PAHXWRsoslRiVBjTyUCbd5XPzbNXLKKVK\nNP1RyOVSyos6qDod8v9rrrNg1Orob/TirzbQWe1EPWRijnYec9Oy2ZC+isVxBWSaMkgzJHNj+g0o\npHJ8QR9llkrMKhPphlRerXubBlsTN2XcwKzIXCCUhT/ZU0y9tZEFsfN4re5tjEoDt53xS1TJVNQM\n1tNoa2Z5wmLahjp5pfYN4vUxPJB797Sahk8EQSpFHh19SUrqe9+txuPycev9BWTNjJ2S+rmRdgkC\nwx3tuOtq8SVm0ucIfa7rtuUSE2kmMyKNlMRoqku7MbljqNWV4G6XcPyNLqwDLtq0ddQONrApdc0l\nmcVfKkGfD8trf8fT2EDkLdtRz8icdh2qT5aN+CShX7SEvpdfxH7sKOaNN4y8npti5kh5NyqFlCUf\nm6t219eCVIoqPQOJUkn6f/0cQa4YETacOyOSY5U9NHcP0dw9xOmGfnKSTcxKuzLzWKlEys0ztrAm\neQVq2fheejKphBWz49h5oo3eziHeMfSy91grWpWMzWvTebm1F7VUQrRqbCr23g2ZyKQCHl8AAQGJ\nBCSCQGVzKMhaNiuOlI8p53ZaQk/WOrUclUKGy+OjsdOOVCIwYB/mlX31JEZpef1AI5EGFd+4ey6J\nUVr0Gjkv7q7D4faRGqe/ZEPj82GaNwdBocBRXDSiEyYGg7jr6pBHRxN992dwVVdj+3A/unnz0eaf\nmxoKuFxjpqguh+DwMJY3X0ei1hB12x3oFy2+qLr3ZKGdOQt1dg62snIiLH0XVWWeCL6ebgKOIdTZ\nOahzcvH19IybaRIkEmI/9xBtP/8JXU/8kdQf/oiA3U73038FQcC8afOkt+0s+oWLER/y0ffKS1he\ne4WhokKSv/v9EUPna5V1yas42HGMA+1HWJu0gkh1BDuad/Nh+xEStHF8c/6j/LH0aU73lfNa3dsc\n7y4iRZ/EbTNuPK+C9KLYAk71llLYU0yKIWnUtpdqX+dQx7GRv8sslXxz/mMIgsCBjiN4A14Wzcmh\ntVFCyfHQKt7kdDNanZLqsm52v1WFklhEIYiIiGlIR+nBLqpP9DJ/WSr5CxKJiRn9HcyPmomAQElv\nOUExyOHO48RrY0cK3iFkA3VD6jpeqH6VP5U9gycwzOqk5aMeRhbEzKXe2sThjuMc7ToJwFcWfxaZ\n+Mm9tbkcw1h6HCSmmohPOr9o9GQSffdncFVWIi85CLHriEs0EJ987twRDJE3K4qqCguZtSsYtCuB\nIHUVvbSIRejMWuaZZ9LzwnNIlEoitmyb0HgY9Pnw9fXhaayn/+038ff3IzWZMKxYdfGdrwLhDNU4\nSJRK3A31eGpr0C85Z3Oh1yjYX9LB2oJE5mWdGyCCw8P0vvQ3VKmpmNZtAEJ6SB99GhZFKKzu5WR1\nL0U1fSgVUh6+ZRbmCcoUfBylVDmu4u/Z/pt1SvYVdyAVodnixNXvZs7cWI4MuwkERW5JiyFRO7Yt\ncpmUuZlRLMiJYUFONPOzoynIiiYxSseR8m7a+hysnHNOLdlic/PmoWY0Khn9Ng+bFiZT1WLlRFUP\n25am4h72U9Y4QFnjAAatgu/eXzCyIjA93kBtmxWLzcOauQnkpl66Hcd46AwaBipr8dTXhQIavR5v\nRzvWD3aim1eAfsEilKnpDB07wlDRSbSz8pFoNPQ89zTdf/oD/iE7mryZE1L7th85jOPkCcw3bCFi\n641IFFfZYFkEZ0kxUq0OTU7upB/eUXwK5+kSIrZsI2LLtpC9xnkGSLnZjFSnx1FUiKuyEuueDwh6\nPMR+7iG0s2ePu8+VcvZ7r0xOwbhyNb6eHtzVlUg0mhGj2YDLxXBrCzKD4ZrKXEkFCTq5luK+Mpx+\nF7ZhO2807CBSFcE35ofEEJP0CRzuPEGTvQWZIOXxeV/CcGaKa7wxL1IdwYH2I/S4elmXvGrk9+rx\nD/NM5Uvo5Tq2pK0nKAaptzWRZkzFqDTwVMXfkEpkPJT/GewDwwz0OcnIiWLz9tlk5EaTkhGBRqsg\nOV/HbsNr9CbWc9+GLcRFRdDVbqOlvp/m+n4y82JG+QEqpQpqBxtosDVTM1iPSWnkGwWPjNGyitfG\ncqzr5MjU4D05t2FQnHuAM6tM7G09SJ21EU/Aw7b0TWzMWnFV9deuNg01FprrLMyen0jcxwKqqcrQ\nSFQqlEmJeA/sRNAZWHb7UrRGDaIoMvDOW3T96feo60/SbcoGrxav0oVsph16NShcGm5ZtRzZ396i\nvqyDweYuvLvfhGAQQZAgUSovaXzseeE5un73v9j27cFZUozo82HesIn4hx8bEV+d7gxVOKA6HyI4\niouQ6s7dkNRKGevmJzJ3RtSopyR3XS32w4fQL14yqrj2o0QaVHxwsg2PN8CCnGi+fuccEiZgi3K5\nnO2/QaugrLGfvl4ngSEvglxCINOAUiblgax4ZkdcXr1BjFlNp8VJedMAEQbViOVMUW0fJXUWspKM\n9A66yUoyUtbYT3P3EHety2RhTgwHT3ehVsr4zmcKRn0GgiAwMy2CoCiyeXEKSsWVWb9otUqcdieO\n4lPIzGbUWdk4ThbiLCvFtGETqpRU5GYzioREho4fxVF8CsfJE7jKyxBkMjyNDTjLStHMnHVel3i/\n1YqgVI76PoiiSPdTfyHgcoaMm9XjZw6nEkVMLNa9u0OZo/UbJ32K0bp3D8NtrUTdfhcy48WfkpVp\nafj6enFXVSKKIvEPP4phiqYjYfTvXqJQoJk5C9uB/bjrajGuWoMYCND23//F4I53sO7ehaepCUV8\n/CX15WoQr42l1FJBzUA9lf016BU6vl7wyIjnn1FpwDpso22og5tnbGHeR6b6xxvzJIIEizs0rZdp\nSh8peD/VW8qp3lLWJ69ia/pGkvWJHOw4Rrerl2AwwGlLBZtS1jIzMofEFBPRcXoWrkgdMVvW6ZUk\nppqJj4mgw9VJXkQ2q9IXE5doZOa8eNwuH21Ng3S12cjMiyHgD3K6sI2udhumOBWVAzVoZRq+Mf8R\nojVjayYlggSJIKFyoIYEbRw3ZtwwartSqqTO2kS/Z4AMYxoP5N6FTqf6RAdUxcdaGLC4WLEhc4xR\n8VQGFIqYWIJuN+rivfhOn0D0+7EfPIB19y5kkZGoExPRtFciDfroXNxGnbIOpUuH3h5NdH0TVV0S\nmiIL6NFn0K1OwVNVRmDvm1jf34G3uwvd/PPbLw0VncTy95eRR0Wjm78Q/aLFxD74OfSLl4wKxsIB\n1RQz0Q9YHh3F4K6d+O12TOvOTWUoZGOVce3HjuCuqSZi640o4sZfuSWTSshJMbF8VhzblqZeUW3Q\n5fDR/gdFkdP1/YgibFqWSlK8njvS40jRTeyGn5lo5MPTnVS3DLJ2XiJymYRdJ1pp73Ny49JUSur7\nMWoVnG7oRwTu25iFWa9iTmYkNyxKHle5Xa2UkZ8RecXBFIT67lVose7dzXBLC8ZVq7Ht34u3s4Po\nu+4Zyago4xOQ6HQ4igoJ2G0YV68h8RvfJuBw4CorxXGqCOPqNWOWMbvr6mj50b8z3NyEbv6CkUyW\nu6aawZ3voV+0GOPK6UlFCzIZEquFoYpKNLl5yKMuvcDf29cbkv0Qgwhy+bgZur5XX4FggOi7772k\nYE0QBLSz8hF9PqJuvW1KatY+ysd/9xJFaPrdWVJMcHgY24H9eOrrUGfnQFDE01CPs6wU46rVF1V2\nvxoIgkCkKoITPadQSVX8U8HDJOhGlxnkmLOYYUpjSdyCUdfgfGOeSqriWPdJJIKEudGhmsI3G96j\nz23hMzm3o1NoMSj09Lr6qB6oo87aiEwi46HZ96GQKpDJpUREa8dfeSkILIidO1LzBSCTSUnLjMRu\n9dDaOEB78yBFh1toru+no8VKiikBbYyEO7NvIUl/fg22RF0c/Z4B1iStIE47VlPOqNAzOGzlczPv\nQavQXnWHgKtJMChyYGctao2cJWvSx1yLqe67OicX0evFXV+Pq7yU4fY2VOkZJH3ru5g3bCRmyXwU\ne1/F1GmhIkOFJkKCtjOWLq8ep9JMXIKexFQzvYMB+jTJDCXMJErmwl9dhio1bdz7Z8DppON/fw2B\nAMnf+wHGlatRZ2Uj1Yy9f4QDqilmoh+wIJPjaWwITRctGetu7+3uwnbgQwBshw/ht1iIue/BC6Yu\nIw0qokxXN1vx0f7HmDTsOdWOSavka7fOJj9Sj/Y8BpqXglopQxShtKEfrTpkAv3CB7UoZBK+sC2X\nnYVt9Ay4GHR4mTsjkiVnLHpMOiUa1dTftLRaJW5/qI7HWVJM0OXEWVmJRKUk6rY7Rw1G6vQM5FHR\n6JcsG5mi080rCC1QKC9FDAZHFbYD9L/5j9BS554ePE2NoScsmYzel1/E191F7Ge/MGK2PR0YYiLo\n3bsPENEVLLjo+4PDw/S99ne6n/jTyJOndc8HKNPSUUSfu5H57Xb6//F31Ll5GJetuMARRyPIZGhn\n5yOPnnqhxfF+98qUVIZOHMNVUY6vtxdt/hwSv/EtzJs2h7wDS08T9AyPqqWbTqLUkcTr4rghdS1J\n+rE3GqlESowm6pJvqmaVkWNdJ2kdamdBzFxEUeSl2tdJ0iewJW3DyPsSdXEc7DhGQAywJmn5qOzX\n5SIIAqmZkfT1DNHZGnJrmLc0mSGbh5a6QdbkLSY98cLyIVKJlIKY/HGDKYBoTSRL4xeOFNJ/kgOq\nnk475ac6mZEbQ/o4q6Cnuu+CVIp2dj6mdeuRGY0ok5KJ+8IXRzL4Uo0GRVw84r7DZPqMLOwRCfTb\nsaljyZ8Xy8bts5mRG0PenHicjmE6uofpUKeh9liR1Z/GtHrtmOn33r89h6eulqjtt190HJvugOra\nKRy4BtEtWAiA41TRmG19r7yE5R+v0vbzn+KurkKRkHDVio4nikYl4wcPLuC79xWMqLtfKevnJ6JU\nSNlV2EZ7nxOrw0tuqhmFPBRg2V0hMcFZ6dMXWJg3bQ5ZPBz4kIDNOqJi/3EMy1eMCIKeJfLmW5FF\nRTH4wc5Ry++Dw8MMFRUhi4xEO68AV2UFTf/6Heq/8VWcxadQpqWjOrNCdLowzMxDHhXN0MnCCwpc\nBtxurAf20/wfP8D6wU7k0TGYN21Gv2QZot9P15//gK//nOSHpyEkEXK2Ful6QSKXE3VmcYIyOYX4\nR74ykn2LuPkW5HFxWPftwd1QP53NHEEQBObHzCFBN9YrdCJIBAk3Z2zGG/Dy14rnKewpJigGWRg7\nOlsYo4lmTdJytDING1JWX/F5pVIJm7fPYsNNudz/6FKWrM5g6x35yBVS9r5TRVlRO+5PaAA0Gfh9\nATzu0Dja2jgAQErG9I2nEAqczBtvIPrOu8foZenmFWBcs46o6k4kVfUUpEt54OGFrNySNzJVrNUr\n2XjLTDbclIsgkVATvxpPTx+2gx+OOparphr7oYMok1Mw37DlqvVvooQzVBdAHhHJ4K73CbhcmFav\nHXk96PXS+/yzyM0R6BctQRwexrhm/YjEwrXEx/tv0ComNTukkElxun1UNA3S0j2E1THMxoVJpMUZ\nsDqGqWoJqSfftykb7VXISn2Us30XJBKUKSnYDx8EwLh2Per0SxM4FGQy5JFRDB0/hq+7C/2y0Cqj\noaJCHCeOY1q/kdj7H8RvteLt6kSmN6BISiLq9jtRXMY021Sg1alwuoZxni4ZZcA6dOI4Pc/8FfuR\nwwwdP0bfSy/gPFVE0OMhYuuNxD/8GLq580KF5noDjpMncNfVYli+HEEqxXbwQEgi5KZbpmQF4WRw\nvt+9MiERdW4eEVtvHFXbJkilqJJTsB86iKuiHGdFGdZ9e0AiQZVy7RlsX4gLjXlJ+gQG3INUDNRQ\nMxgKHO/PvXOMxUteRDbrU1ahmSTDY4lUQmSMDvmZqXyNTkFEtJb6ql5a6gcoLWzHOuAiKc2M9Aof\n9q5mhqq3y45UJhlVcH8hWur7ef35YuKTjOgMl7Ygac87Vex7t5ohu4eOFivDHj9rtmSP+zldK9k5\nTW4e3t4e9EuWEXPvfSg14xjZCwKRMTr8viDtbXY0oht5ZSHG1WuRyOWIwSBdf/o9AauVhK9+HXnk\nWKHbjzPdGapP7trSSSBUkJ6Hq6oCX3//yAV1VVcher3oFiwk+q57prmV08+mhcnsPtlOU5cdgLwz\nUhB5qRFAI7FmNdFXearz46hnZGJavxHr/r1oZ17eFIZ2XgHa/Dk4y0qxHdiPac067EcOA2BYthxB\nJiPu8w8BD01By68M09r12A58iO3gAYyr1hAcHqbryT9DMBhaegrIo2MwrFiJYfkK5BGjBy3j6jV4\nGhuwHz5Iz1N/Je6hL4VEbM9IhFyPaLJzxn1dnZWNaeMNWHfvwj8YygT4rVYMy1dOmW7YdHB3znaa\nh9rodvaQZcrArBprxi4IAjJham8PaZlRPPDYUuore6ku66auopdBi4sb78pHcwnODFcTURSpq+wl\nPsmI3hgKhDpaBnnrxdOYIzXc8fkFyD8WVLldXgYtLuKTQ8rhPq+fD3fW4nH5OHmomZvumXvR8/q8\nfppqLYgiVJd2A5CQbERxlWpwJ4pEqSTh0ccv6b15c+MpOtJCT/Ii4kur6Xn6SeIffRzHyUKGm5vQ\nL16CepotZS6Va/uqXAPoFizAVVWBo7hoRJPKWRZS5tXOufgP4tNAhEHF0lmxHC7rJtKgIvrMgJMW\np2fZrNgzgdX0E33vfURsu+myV3IJgkDMfQ/S8pMf0fv8sxAI4KqsQJWecd5FCNcKgkxGzP0P0v5/\nf0b303/FPxjKGCZ953uoM7MQfT4EheK8AYMgCMTc/yDerg6GThzDbx3E09KMKiX1otYY1yPR93yG\niBtvQqJS0fP0UwwdP8pwSwuqtLTpbtqkoZQq+OKs+3mq4m+TMqV3JWh1SuYuTiZ/YSIHdtZRdbqL\nfzxXzM33zsVont6HsLOIYqgQvLKkC4NJxR2fCwVPB3aGHBcG+10c3dvA6s3ZiKJIY42F6tIu2poG\nEEWYWZDA6huyOHm4BefQMFKZhLamQSw9DqJiL1wm0tY0SCAgUrAsBZNZTUVJJ3MWTb1V1tVEb1SR\nkhFBa+MAvqwCHKeKsPzjVRxFhSCVEnnbHdPdxEsmXEN1EXQF80EQcBSFRONEUcR5+nRIz2ZG5jS3\n7tphy5JUZFKBeVnnimQlEoEv3zyLlXOujaBDEIQJL4uXR0eT9I1vISiU9P7teRBF9Mumbtn/ZKLJ\nyUW/ZCnejnaCLiexD34OTXYOgiSkAXOx7ItEoSDpW98NWSrV1kAggOo6q5+6VARBQKY3IJEr0M0P\n+dY5isfWUE4njuIiPC3NV3SMBF0cP1jyzyO2MdONRCJhzZZsFq1MY8jm4fiHjdPdJCA03h/eU09l\nSRcKpQy71cPut6s4dawV64CbvLnxRERrqSjupLyog3deLmXXGxW0Ng4QFavHHKWhsriTna9XUFrY\njt6oYsNNIQPx0yfaLnr+prpQ7WJGdhS5c+K547MLSM+e3lKCqWDmvNA9on/2JuTR0Qy+vwNfXx+m\ndetHLYi51gkHVBdBZjShzszCXV+Hu64Wb2cH/oF+tLNmX5Ib+KeFxCgtP3tkGXevu/bqyCYLVVo6\niV/7eui6S6UYFi2Z7iZdMtF33YMiKZnIW7ZjXHn5WQmJUkn8Y48Tse0mkEqnXPbgWkA7ew6CXH5N\nBVS+fgudv/stPU8/Od1NmXQEQWDBilRMkRqa6ywMe3zT3SSKj7VSdrIDc5SGzzy8mOSMCNoaBzh5\nqBmNTsGydTPYeEseUqnAwQ/qaG8eJCUjgnu/vIg7P7+A7fcXEBWro6nWQjAosnJTJhk5UZijNNRX\n9TJk85z33MFgkJb6frQ6BdFx14cv4URJzYxEo1NQV9tPzGP/hEStRqJWE3njLdPdtMsiXJR+Cchj\nYrAfPYyrogyCQTwN9URs3YYyOWWSWjl1XM0iRbVShvQaUpyeir7Lo6LR5M1EP3/BNX/9R4lbqtSY\n1q6/ItV0QRDQ5M0M6a3FxF58h2lkMq69IJPhaW7CU1eHfvFY6ZTpwLpvD+7qKgJ2O8Z168eddr1W\nCpMnwtlao7amQQwm9YQCicnq/5DNw643KtFo5Gx/oACtTknqjAgaqvsY9vhZuzWHmHg9Gq0CrV6J\n3eph5aYslqxJR60JyefI5FIy86IZsLhITotg7qKQl6tMJqGp1oLTMYxCKUMUReQKKRLJuWxxV5uN\niuJOsmbFkpZ5aVmp6/XaC4KA1+OnvXmQiJRY0m/ehHHVmsuWnQkXpV8HaLJziNp+O5Z/vMrgzvdB\nENB8zAQ2zKeHT/tU76cpM6srmI+zpBhHcRERW2+c1raIosjQ0SMjf7trqtEvXDyNLZoasmfFcvzD\nJmrKu5k57/yCn1PN8QONBPxBlqzJQHumSF6pkrP9/gIsvY5R0gW5c+LJPU9pg1IlZ9udo+8XWbNi\nOXGwmYbqPhqq+0Ze1+qVJKQYWbEhk+Yz031pmRdf3fZJ4GxxemVJJ7n586e7ORPi0zMyXiHmLdtw\n19XiLCtFlZ6BTG+4+E5hwoS5rtHNLaBHIrkmAqrhlha83V3IY2Px9fTgqqr6RAZUOoOKxFQTHS1W\nbIPuaSlO7+m0U1fRS1SsjuzZo7OxWr0S7RUat0ulEm57oIDOVit2m4chqxu7zYNt0E1dRS+dLVZE\nQK6QknSFnqbXCx8tTu/vdRAZM/0Z4cvl2pmfucYRJBLivvgw2jlzMW/ZNt3NCRMmzFVAqtOhzs7B\n09iI78wKyenCfiwk1RF1x91IVCpc1VXT2p6pJCc/JGZaU9591c8tiiJH9oY0ulZsyJwyyQy9UUVO\nfhyLVqax/qY8tt9fwGcfX8aSNem4nF5cDi/J6RFXrMt1PXG2OL2ypGuaWzIxPj1XahKQ6nQk/tM3\n0c+/uI1HmDBhPhnozyw+sH24b9raIAYCDB0/jkSnQzdnLursHHw93fgGBqatTVNJRnYUMrmE2vIe\ngsHgVT13V5uN7nY7aVmRJKSM1eiaSgRBYP6yVLY/UEDqjEgKln6yJBIuxtni9NqKbny+wHQ357IJ\nB1RhwoQJcwEMS5ch0emw7ttDcHh4WtrgqqwgMGRHv2gJgkyGJje09N5d88nMUskVMrJmxjJk83Bk\nT8NVPXdzfT/AtNZvxSUa2XZXPjHxn67SEolEQt6ceLzDgVG1ZdcL4YAqTJgwYS6ARKnEtG4DQacT\n+5FDV/38oigy8P4OAAxnzKjVZwIqV9UnM6ACWL5+BuYoDWVFHVQUd1y187Y29COTSUi8ytmpMCHy\n5oam/coK2/H7r68sVTigChMmTJiLYFq3AUEmY3DXTsSrPAXlPF2Cu6Ya7Zy5IxYcyqRkJFotrupK\n3I2N9Dz7NN1PPYn96BG8A9Nb6zVZKJQytt2Zj0ot5+CuOjpapr5fdqubwX4XianmS/bnCzO56I0q\nsmfFYul1sPvNqqs+5XslhAOqMGHChLkIMoMBw/IV+Pp6cRSfumrnFf1++l59GSQSou68e+R1QSJB\nk5OLf2CAtp/+GNuB/dgPH6T7yT9T+Km+AswAACAASURBVMWHsZ0xAr/eMZjUbLl9FoIgsOftqikX\n+2xpCE33pWZeG3ZZn1bWbM0mIcVEU52F/e/VIp7xHb3WCQdUYcKECXMJmDdtBqD7iT/S8T+/wn7s\nyJQM9GIggLevl4DDge3Afnzd3RhXrUGZkDjqffoly0AqRTuvgMRvfpuUH/6IqLvuQabV0PPMUzjL\nyya9bdNBfLKJhSvTcDq8HNxVN6Xnam0IFfmnZHw6tJ+uVWQyKVvvmE1MvJ6asm5Kjl/cpudaIKxD\nFSZMmDCXgCI+gdgvfBHr7g9wlpXiLCtFUCgnfdVv399fxrp718jfglJF5C3bx7xPv2Ah+j+NtqBR\npaQSv2AO5f/2H3T+4XdE33kXntYWvJ2dxNz/IKqU1Elt69WiYGkyLfX91FX2kp4dxYzcyfd38/kC\ndLRaiYjWoj9j8B5m+lAoZWy7K59XnjzJiYNNpGZGEhGlxeX0cupICzMLEoiI0k53M0cRzlCFCRMm\nzCViXLGK1P/4MUnf/i4Azkme/gt6vdgPH0Si1aKdV4A6K5uY+x64LFNvQ14ucV9+BNE7TO8Lz2E/\neABPQz1Dx49OaluvJhKJhPU35SKTSTiwsxaXY/JXW3a0DBLwB0mdEZ7uu1ZQaxSs3pxFMCCyb0c1\ndqubN14opqyog9LC9ulu3hjCGaowYcKEuUzUOblIjSac5aWIwSDCJHlYOkuKCbrdmLdsI/ojNVOX\ni37BInjsq/h6elBlZND+i5/jaW6elDZOF6YIDUvXZXDog3r2v1fL1jtnjxLdDASCHNvXSHyikfTc\nqMsS5PT5AlSXhkREU2aEp/uuJdKzo8nMi6G+qpeX/1KI3x8qUu/ptE9zy8YSDqjChAkT5jIRBAFt\nfj72QwcZbmlGlZ4xKce1HQmpoRuWr7ziY310KlIRF89wS/OkBn/Twez5iTTVWmhp6Ke6tHtkiX0g\nEGTX6xU01/dTerKduZ1JLFs/46JBld8foLyok5LjrbhdPoxmNXGJny7tp+uBlZsyaW8ZxOPysXRd\nBq31/XS22Rj2+FGqrp0w5tppSZgwYcJcR2jz52A/dBBH6elJCaj81kFcFWWo0jNQJkyuqKQyNRVv\nVye+3h4UceOb+F4PCILA+htzefnJQg7vqcdgUqFQyjh5uJnm+n4SU00Me/ycLmzH6w2wZkv2eYOq\nloZ+Dn1Qh93qQaGUsmB5KnMWJSG5jgPOTypqjYLt9xfgdnpJSAld4842G71ddpLTr50p2nBAFSZM\nmDATQJM3C6RSnGWlRN1626htruoqgh4PunkFFzyGq6oSd30dxlVrsB87CqI4Kdmpj6NKS2fo2FE8\nzU3XdUAFIfPklRuz2PtuNW+9eHrk9cRUE1vvzMdoUPPM749QdbqLuEQDuXPG9vfArloqTnUiCDBn\nURILV6SiVMmvZjfCXCbmSA3mSA0AcQmhLGJ3RzigChMmTJjrHqlGgzozC3dNNX6bbaRw3NfXR8f/\n/ArR7yfpW/8yYhPjGxjAPziAKiM0FWU/epjup56EYJCBd99GUCoRZDL0ixZPeltVqekAeFpaMCxd\nPunHv9pkz45FFEX6+5wAqDVy8hcmIZdL0eqUbL1jNi/88TglJ9rIyY8blaXq6bRTcaoTc5SGTbfO\nJDJaN13dCDNBYs9My/Z02Ka5JaMJB1RhwoQJM0G0+XNw11TjqijHsDxkC9P78t8QfSEByu6//oXU\nH/1/+Pp66fjVLwg4hlAkJKDOysb24X4kGg3mG7ZgO3QAv8WCftFipLrJv8ErU1JAEBhubgJADAZx\nFJ1EM2sWUs21tfT8UhAEYdzM01l0BhWZM2OoLe+hpaGftMyokW0nDoQ+g1WbssLB1HWKWqPAaFbT\n02lHFMXLWoAwlYQDqjBhwoSZINr8uVhefQX78aPoFizEVV2Fs6QYdU4u6qxsBt55i64//g5PUyNB\ntxvNrNm4qqvwdnYiNZlI+ua3USYmEbFlG66aalRp6VPSTolSiSIhEU9rC2IwiP3IYXqefhLdwkUk\nPPr4lJxzupm3OJna8h5KjrWNBFSdrVbamwdJSjOTmGqe5haGuRJiEw3UlvcwaHEREX1tPBSEA6ow\nYcKEmSCKhAQUScm4Kspp+t53QCIBqZSY+x5EERuLs6wUV0U5CAJxD30Zw7Ll+G1WHKdOoZ07F3lE\naIm+IJOhnTV7StuqSk3D29GOt6ODgXffBsBxshB3Qz3qGZlTeu7pIDJGR0pGBK2NA3R32IhNMHD8\nQCMAi1dPTeAa5uoRl2iktryH7g7bNRNQhZczhAkTJswEEQSB5G9/l4gbb0b0+wjYrJg3bkKZmIgg\nkxH/5UdQ5+YR/+jjGJaFapdkRhOmdetHgqmrhTItDYC+V17E19eLKjMr9PffX75uvNIul3lLkgF4\n95VSnvqfw3S320nLjCQ2ISyNcL0TN1JHFdKjCviD0/49DmeowoQJE+YKkOp0RN12B+bNW3DX1KDN\nnzOyTREXT/IZVfXpRpWaBoRWFiKVEv/lR+l96QWcxadwFJ+adAuda4GEFBMzcqPpbrehUMmIjNGx\nbP2M6W5WmEnAHKVFrpDS3NDPa88U0ds1xJbts0nPjbr4zlNEOKAKEyZMmElAqtGiK5g/3c04L8rk\nlNCUZDCIceUq5JGRRN9xF87TJVheewXdnLkIstG3hKDPS9fv/3+8fb0QCCLV60j82jeR6vXT1IvL\nQxAEbtg+a7qbEWYKkEgE4pONtDYMMOz2kZBsnHYJhXBAFSZMmDCfAiQKBcqUVIbbWonYdhMQyqAZ\n16zDtm8P1gP7Ma/fOGof+5EjOMtKkajVCFIZvr5eBna9T/Qdd01HF8KEGcWazdlYehzEJxtRquRE\nR+vp6xuatvaEa6jChAkT5lNC/JceIfm730ceeW5aJPKWW5GoVAy89SYBl2vkdTEYZHDXewgyGWn/\n+V+k//cvkRoMWPfuIeBwTEfzw4QZhc6gIi0r6poRZZ1QhionJ0cOPAOkAQHgy4AfeBoQgXLg8Zqa\nmuCktDJMmDBhwlwxiri4Ma/J9AbMW2+k//XXGHjv3ZHsk6OkGF9PD4aVq5GZTABEbNlG3ysvMbjn\ngzHq8GHCfNqZaIZqGyCrqalZDvwY+AnwK+DfampqVgECcOvkNDFMmDBhwkwl5o03IDNHYN29C5+l\nD1EUGXz/3dC2G7aMvM+4Zh1SnR7r7l2jsllhwoSZeEBVC8hycnIkgAHwAQuAD89sfw/YeJ59w4QJ\nEybMNYREqSRy++2IPh/NP/wBnb/9DZ7GRrTzCkYZNUuUSsw3bCbodtP3yosjU39+m5XB3btwVVdd\n9baLfj+e1parft4wYT7ORIvSHYSm+6qBKOAmYHVNTc1ZEYghwHixg5jNGmQy6QSbcOlER18fK1Km\nik9z/z/NfYdPd//Dfb88om7ZjBof3e/vxFkaMh3OuOcODB87lvmu7Qwd3I/90EEcJ46jz83BXlGJ\nGAggNxpZ9NQTCNKpH9fP0vzs83S89jpzf/nf6DJDkgjX2rUP+nwIUimCZOrLlq+1vl9tprP/Ew2o\nvgnsrKmp+decnJxkYC+g+Mh2PWC92EEGB6c+ZTzdVf/Tzae5/5/mvsOnu//hvk+s74oV60hevhZP\nQz0Bl5Ph6KRxj5X0w//EfvAAg3t2YSstQ5GUjFStxl1XS/P+o+jmzL2s8w53tONpbkKTk4s8KvqS\n9xMDAbp37wWg8/gpzMaYKb/2jtLTOE4WEnP/g0iUyou+P+jz0fqf/wdBoSD5O98bs0/A7ca6dzfG\nVWuQGa5McPTT/L2Hq9P/CwVsEw2oBglN8wEMAHKgOCcnZ21NTc1+YCuwb4LHDhMmTJgw04QgCKjP\nqKifD6lajfmGzZg2bMRvsyIzR+BpaqLtpz9m6NiRywqogh437b/+BQFr6BlcHhtL7IOfR5Obd9F9\nXVUVBGw2ADxNjZd8zokS9HrpeeYpAjYrglJJ7P0PXnQf+6EDeDs7AOh5+kniHn5slJlv7/PPMnT8\nKMNtrZ9YX8VPCxPNP/4amJ+Tk3OQUHbq+8DjwI9ycnKOEspWvTo5TQwTJkyYMNciglSKPCISQRBQ\npacjj4vDUXxqpGB9uK2N4bbWCx6j/803CFit6BYsRDuvAJ/FQvdf/0LQ673o+e1HjoT+I5HgaWq6\n4v5cDOu+PQRsVpBKse3bg7O8bNT2gMuJ/diRkT4HfT4GdryLoFCgTEtnqPAEg7veH3n/UFEhQ8eP\nAiFfRVdtzZT3IczUMaEMVU1NjQO4e5xNa66sOWHChAkT5npEEAQMy1bQ//prOIoKkUfH0PGbXyIG\ng0TfdQ+mjTeMysxAKOAa3PMB8ugY4r70MBK5gr5XX2Hw/R0M7nyPyJtHLxb3tLbgaWzAuHI1QZ8P\nR8kp5LGxyKNjcJWX4R+ywxTV0ATcbgZ2vINEoyHhK1+j/de/oPupJ4l76Et4OztwVVeFAqxAAEGh\nIPFr38Db041/cADzps2YN2+l5T//D5ZXX8Hfb0G/eCm9zz2LIJcT++Dn6f7rE/S99DdS/u0/rkqt\nVZjJJ6yUHiZMmDBhJgXD0uX0v/4agzvfx28dRBRFpFodfS+/iKe5CdPaDSji4hAUCnwWCz3PPwPB\nIDH3P4BEHirDjbjxZuxHDjHw3rsYVq5GbjYTcLvpf+MfWPfuBlHEUXQSbf5cRK8Xw9LliMEgrvKy\nUJYqI3FK+ja4632CTidRt9+JJjePyFu20//6a3T8+hcj71EmJ6POnYlt3/9r787joyrvPY5/Zktm\nkkySIRv7qj4iFGwNqCAUFRAVi9X6Eqna1tuqtdVWrbR1uba29VX7crm4VNyXeqvWrVdxYQeRTatQ\nisIjqCBCAgGyzyQhM3P/mCGyDAIOySST7/uvzDlnTn4nz5mZb57zzHPmsnna3bEZ5j0eAhPOxJ2X\nT/efXUPZ9PupmjeXqnlzASiaPIXcESOpX/MhtUuXULN4EXmj1DfRESlQiYjIEeEpKMB37EBCa9eA\nw0G3K67CO+Aoyh68j9rly6hdvmy/5+ScUEr24C9vKO3y+Sj87vlsfeoJyh+Zjisnh6BdS6S+Hk9J\nVzyFhQQ/XB27yTOxENdYtgXYPY7qlIS1NX6xiZ2vv0Y4GCTa3IzvGHPAyUnDoRBOr7elR61x0yYq\nZ83E5c8l//RxQGyS00goBJEImX364u3Xn4ziYgCyB3+DLQ/cS7i2lvyx43HnxSZG9fXvT7/b/0Ld\nig+omj8Xd34++fHb/RSedwF17/+LiuefxZGRSe6JJx3un19STIFKRESOmPwxpxGyaym++FL8pcMA\n6HnDb6l7710aN2+iqawsNsVCQSGekhLyvz1mv33kjhxF1fx5hOJjityBAIGx4wlMOAuHy8X2l/5B\n5cy38Jlj8RQV4fDGvjl3oHFUdSs+oOzRh4g2NrYsC9m15J50MhklsdnjGzZuoGrObIIfr6V5xw58\nRx9D8ZSLCQeDbLl/GtHGBoou/vKbfQ6Xi6LvJRr5AtmDBtPz2huoWfoOBRO/s9c6h9uNf9hw/MOG\n77XcEwjQ9bIfU/7EY5Q/Mp36Vf+m5JJLcXp9B/uTSzuhQCUiIkeMv3QY2UMewpnx5Uw6To+H3BEj\nD3kfDqeT7lf/koZP1uPt1w93fOD7bkUXTCbnW6UtUyy4/bl4Coto2PAp0Wh0r33tnPkm2194HkdG\nBt2uvIrsocdT98H7lD/yENVvL6DogslEGhvZfO89hKurcWZnk9m3H6F1H7PxtltxuFxEo1G6/uQK\nck88+ZCPwXf00fiO/upvS+7LXzqczF59KH/sIWqXL8XpzaTkkh8e1j4kdTTyTUREjqg9w9TX5QkE\n8JcOw1NQuN9gdgDfgKNw5305f7S3f38idXU0lG9tWRb6ZD3bX/wH7kAXev3mJvylw3F6Msj5Viku\nv5/qxe8Q2dVE9cL5hKurCZwxgQH33Eefm2+lxy+vx1NcAi43Pa659rDCVDIySkroNfVGPCUlVL+z\niF3bK9rk90ryFKhERKTD8/btD0DdunVA7JY0W59+EuK9S97efVq2dXo85I4cRaSujpolS9j55us4\nfT66nDmx5Rt22YO/Qd8/3M6Au+4he9DgNj0Wh9tNwcRJEA6z4/XX2vR3y9enQCUiIh2et18sUNV8\ntDZ2c+fZM2na/AW5o0aTdYzZb/u8+NitimefaRk87srJ2Wsbh9OZsjFM/hNPwtO1KzWL36GpYhvR\nSISGDRsOaX4uSQ2NoRIRkQ4vs3dvcLkof/MtdvzrfZqrqnD5cyk6P/HA8YyiYrIGDSb44WqcWVkE\nxo1v44q/msPppOCccyl/ZDplDz5Ac3U14eoq8k8fR/FF3091eZKAeqhERKTDc2Zm0v1nV1Mw4mTC\ndXVEd+2i6KIp+/U67WnPKRBcWdltVeoh8w8bTkb3HjR+vpHoriYcmV5q311GNBxOdWmSgHqoREQk\nLeQMOZ5+p49iW1klzVWVB73Rcs6QofT9059jg8/bIYfTSY9fXEvj5s1kDRxIxfPPUb1gHsG1a9p8\nXJccnHqoREQkrTjc7oOGqd0ySrom/BZhe+EpKCRnyFCcnoyWuatq33s3xVVJIgpUIiIiHYDv6GNw\n5edT98H7RJubU12O7EOBSkREpANwOJ34S4cRCdZT/9GHqS5H9qFAJSIi0kH4h50IQJ0u+7U7ClQi\nIiIdhLf/ANxdCqhb+QHhYH2qy5E9KFCJiIh0EA6Hg/wxpxIJhSh/9GGikUiqS5I4BSoREZEOJDDh\nLLKOG0T9qn+zU7emaTcUqERERDoQh9NJt59cibuggB2v/pO6Vf9OdUmCApWIiEiH4/L76X7V1Thc\nLsoffYimbdtSXVKnp0AlIiLSAXn79KX4kh8QCQbZ8tf7CDc2prqkTk2BSkREpIPKGzmKvDGn0fTF\nJtbf/yDRaDTVJXVaClQiIiIdWPHkKXj7D2D724uomjsn1eV0WgpUIiIiHZjD7abbT3+OJy+Pihee\nI/ixJRqJUDlnFpvuuJ361atSXWKn4E51ASIiIpIcTyCAmXo9q2/5HWXTH8BTVEzDJ+sB2Pw/d+M/\neQTFF07BlZOT4krTl3qoRERE0kDe4EEUXXAh4ZoaGj5ZT07pcHpeP5XMPn2pXbqELQ/ce1j7C4dC\nGpN1GNRDJSIikibyx47H4fHgDnQhZ+jxAPS+8RY2T7ub4Ecf0rBxA94+fQ+6n5oliyl/4lFKfnAZ\neaeMauWq04N6qERERNJE7NY0p7WEKQCHy0X+2HEAVC2Yd9B91H+4mvKnHodolNr3lrdarelGgUpE\nRCTNZQ8egruggNrlywgHgwfcrnHT55Q9eD8OhwNXXj4hu5aI5rc6JApUIiIiac7hdJL/7VOJNjVR\ns3Rxwm2izc1smf4AkYYGuv7X5eSePIJoczNBu7aNq+2YFKhEREQ6gdxTRoPLRfWC+QkHm1cveptd\nW7eSd+pp+IcNJ/sbQwCo/4+mXTgUClQiIiKdgDs3F/8JpTSVbaF22ZK91kUaGtjx2j9xZGZSMHES\nAL4BR+H0+QiuXqVv+x0CBSoREZFOosvZ5+D0+Sh/4jFq3/1ywHnlnFmEa2oIjJ+AOy8PiE0YmjXw\nOHZVVLBr69ZUldxhKFCJiIh0Epk9etLj2l/hzMyk7JHpbHv+Wba//CKVb72By+8nMH7CXttnD45f\n9tNs6welQCUiItKJ+PoPiIUqr5eq2TPZ+cYMIg0NFJwzCZfPt9e2WRpHdcg0saeIiEgn4+s/gL5/\n/DNNWzbjcLtxZGaS2av3ftt5AgEyevYiZNfSXFuD25+bgmo7BvVQiYiIdELuvDyyBh6H7+hj8Pbu\ng8PhSLhd3uhvE21upmrO7DausGNRoBIREZEDyhs5CpffT9W8OYRDoVSX024pUImIiMgBOTMzCYw7\ng0goRPUh3Lqms1KgEhERka+UN+Y0nD4flbNmEmlqSnU57ZIClYiIiHwlV1YW+aeeTri2hq1PPUFz\ndfVhPT/a3MwXd/2FipdeaKUKU0+BSkRERA4qMO4MMrp1p3b5Uj67cSo7Xn/tkGdQr5w7m+Caj6ia\nPZNwsH6vdZHGRna+MYONf/gdDRs3JHx+tLm53d+kWYFKREREDsrl99Pn1tso/v6lODMy2fHKS1Q8\n//eDhqrm2hp2zngViAWj2n+917KuZvkyPrtxKttffpHGjRvY+vSTRCORvZ4fjUbZPO1uNtz823Y9\nKF6BSkRERA6Jw+0m/9TT6Hvbn8jo3p2qObPZ8X8vf+VzdvzzZSKhEIEJZ4HDQc2SxQA0btlM+WMP\nEwmF6DLxHHJKh9G4cQM17yza6/n1K1cQXPMRzZU7qZz1VqsdW7IUqEREROSwuPx+el43FU9RMTtn\nvEbl7JkJtwuuXUP12wvJ6NadwnPPI+vY42hYv46mrVup+MdzEInQ7fKfUnju+RRPnoIjM5PtL79I\nuD52WTAaDrP9pRfA6cSZk0PlrLdaxm+FPv2EmqVLEv7eVFCgEhERkcPmzs+n56+m4srLp+KF5wmt\nW9eyLrjmIzbdeQdf3HkHRKMUXXgRDreb3BEjAdj61OMEV/+HrIGDyB56fHx/AQomfodwXS3bnn2G\ncDBI9eJFNJWXkXfKaAonfZdoYyM7ZrxK1cIFbLrjdsofe5ia5UtTcvz70q1nRERE5GvxFBTS7fIr\n+eLOOyh7+K/0+s3N7HzjNaoXLgAg67hBdDlrIlnHDgQg51sn4HjGS+hjCw4HRRdO3muG9vyx46lZ\nspjaZUupW7ECh8uJIyODgu9MwpXjp3L2rNhcWNEorhw/kV1NbHvmaXxHHQNF/lT8CVqoh0pERES+\ntixzLAXnnkdzZSWf3TiV6oULyOjZi94330rP625oCVMQmyTUf0IpAHmjx5DZs9de+3J6PPT6zU0U\nnvc9XFk+IsEggfETcOcHcLjdFJ53PkSjZHTvQe+b/pviC6cQCYUof+LR/QaztzX1UImIiEhSupx5\nNqF16wiuXkX+2HEUnn8BTk9Gwm0LzpmE0+ej4JxJCde7srPpctZEAuMn0PD553j79m1Z5y8djuem\nQjK6dcfp9ZJbOJq6VSupX7mCbfPm4xw6vDUO75AoUImIiEhSHE4nPX5+Dbsqd5JRVPyV23qKiii+\n6PsH36fbja9///2We/t9uczhcFBy6Y8ob27Gk5tL+PBLP2IUqERERCRpDrf7oGGqNbhzc+n5y+vp\nUuSnoqK2zX//bhpDJSIiIpIkBSoRERGRJClQiYiIiCRJgUpEREQkSQpUIiIiIklSoBIRERFJkgKV\niIiISJIUqERERESSpEAlIiIikiQFKhEREZEkKVCJiIiIJEmBSkRERCRJClQiIiIiSXJEo9FU1yAi\nIiLSoamHSkRERCRJClQiIiIiSVKgEhEREUmSApWIiIhIkhSoRERERJKkQCUiIiKSJHeqC2gtxhgn\n8FdgKNAI/Nhauz61VbUuY4wHeBzoC2QCfwQ2ATOAdfHNHrTWPp+SAluZMeYDoCb+8DPgT8CTQBRY\nDfzMWhtJTXWtyxjzQ+CH8Yde4HjgZNK87Y0xJwJ3WGvHGGOOIkF7G2N+AlwBNAN/tNbOSFnBR9A+\nx348cB8QJvZ+d6m1dqsxZhpwClAbf9oka211aio+svY5/m+S4FzvJG3/HNA1vqovsMxaOzkd2/4A\nn3Ef0U5e92kbqIBzAa+19mRjzEnAXcCkFNfU2i4GdlhrLzHGdAFWArcBd1tr70ptaa3LGOMFHNba\nMXssexW42Vq7wBgznVj7v5KiEluVtfZJYm8qGGMeIPamcwJp3PbGmKnAJUB9fNHd7NPexpilwDVA\nKbGg+Y4xZra1tjElRR8hCY59GnC1tXalMeYK4NfAdcTOgTOstdtTU2nrSHD8+53rxpiudIK2t9ZO\nji8PAPOBa+ObpmPbJ/qMW0k7ed2n8yW/U4C3AKy1y4j9YdPdC8At8Z8dxJL5CcDZxpi3jTGPGWP8\nKauudQ0Fsowxs4wx8+Ih+gRgYXz9m8DYlFXXRowxpcAga+3DpH/bfwKct8fjRO09HFhsrW2M/3e+\nHhjSplW2jn2PfbK1dmX8ZzfQEO+lPxp42Biz2BhzWVsX2YoStf2+53pnafvdfg/cZ60tS+O2P9Bn\nXLt43adzoMoF9uzeDBtj0rlHDmttnbW2Nv5m8iJwM/AucIO1djTwKXBrKmtsRUHgTuAM4Ergf4n1\nWO2+FUAtkJei2trSjcTeWCHN295a+xKwa49Fidp73/eBtDgP9j12a20ZgDFmBPBz4B4gm9hlwIuB\nCcBVxph0CBSJ2j7Rud4p2h7AGFMMnE68l5o0bfsDfMa1m9d9OgeqGmDP/8id1trmVBXTVowxvYh1\n+/7NWvt34BVr7fvx1a8A30xZca3rY+AZa23UWvsxsAMo2WO9H6hKSWVtxBiTDxhr7fz4os7S9rvt\nOT5ud3vv+z6QtueBMeZCYDpwtrW2gtg/GdOstUFrbS0wj1hPbjpKdK53mrYHvgf83Vobjj9O27ZP\n8BnXbl736RyoFgNnAcQv//wnteW0PmNMCTAL+LW19vH44pnGmOHxn08H3k/45I7vMmLj5DDGdCf2\nH8osY8yY+PozgUWpKa3NjAbm7vG4s7T9bisStPe7wChjjNcYkwcMJDZwNa0YYy4m1jM1xlr7aXzx\nMcBiY4wrPpj3FOCDVNXYyhKd652i7ePGErvctVtatv0BPuPazes+nS+BvQKMM8YsIXat9Ucprqct\n3AgEgFuMMbuvM18H3GOM2QWUA5enqrhW9hjwpDHmHWLf9rgM2A48YozJANYQ6yJOZ4bY5Y7dfgrc\n1wnafrfr2ae9rbVhY8y9xN5kncBN1tqGVBZ5pBljXMC9wOfAy8YYgIXW2luNMX8DlhG7RPS0tfbD\n1FXaqvY71621Nene9nvY67VvrV2Tpm2f6DPuF8C97eF174hGowffSkREREQOKJ0v+YmIiIi0CQUq\nERERkSQpUImIiIgkSYFKREREJhfcjQAAACVJREFUJEkKVCIiIiJJUqASERERSZIClYiIiEiSFKhE\nREREkvT/WMHfO2meVgkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119c393c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 6))\n",
"plt.plot(S);"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df = pd.DataFrame(S[:, 0], columns=['path'])"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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JWC1mrr+wBBPwwBMHeONgK7987ijDox5uurSMxPiYWf72Qhgk6Yuo4HJ7eeq1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\nxt6aLrJS47D3jXCg1s7A