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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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"metadata": {},
"source": [
"# Algorithmic Trading\n",
"\n",
"## With Machine & Deep Learning"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Reading Data, Backtesting, Random Walks, Prediction with ML & DL**\n",
"\n",
"**_ODSC Europe 2017_**\n",
"\n",
"Dr. Yves J. Hilpisch\n",
"\n",
"The Python Quants GmbH\n",
"\n",
"**12. October 2017**"
]
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{
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"<img src=\"http://hilpisch.com/images/finaince_visual_low.png\" width=50% align=left>"
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"cell_type": "markdown",
"metadata": {},
"source": [
"## The Imports"
]
},
{
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"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": [
"## The Data"
]
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"source": [
"data = pd.read_csv('http://hilpisch.com/eurusd.csv')"
]
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"LowBid 2820 non-null float64\n",
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"data = pd.read_csv('http://hilpisch.com/eurusd.csv', index_col=0,\n",
" parse_dates=True)"
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"LowAsk 2820 non-null float64\n",
"CloseAsk 2820 non-null float64\n",
"TotalTicks 2820 non-null int64\n",
"dtypes: float64(8), int64(1), object(1)\n",
"memory usage: 242.3+ KB\n"
]
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" Time OpenBid HighBid LowBid CloseBid OpenAsk HighAsk \\\n",
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"2017-05-28 21:00:00 1.11681 1.11894 1.11613 1.11622 1.11788 1.11906 \n",
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"source": [
"data.tail()"
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"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
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"outputs": [],
"source": [
"data = data[['CloseAsk', 'CloseBid']]"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
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"outputs": [],
"source": [
"data = data[data.index > '2014-1-1']"
]
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"cell_type": "code",
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"metadata": {},
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{
"name": "stdout",
"output_type": "stream",
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"dtypes: float64(2)\n",
"memory usage: 24.8 KB\n"
]
}
],
"source": [
"data.info()"
]
},
{
"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
},
"outputs": [],
"source": [
"data['Mid'] = data.mean(axis=1)"
]
},
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"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
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" CloseAsk CloseBid Mid\n",
"Date \n",
"2017-05-27 1.11788 1.11681 1.117345\n",
"2017-05-28 1.11660 1.11622 1.116410\n",
"2017-05-29 1.11882 1.11842 1.118620\n",
"2017-05-30 1.12434 1.12418 1.124260\n",
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"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
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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()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
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" <td>1.36148</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-07</th>\n",
" <td>1.35755</td>\n",
" <td>1.35748</td>\n",
" <td>1.357515</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <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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" text-align: left;\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\n/x4LKudy+7r7ANBrdCytXjygvT/oIdnmWr+s4K9qUWwoQqvRcnTVQqwuGzlavTox9jh6kjq2mBEr\n6vQgXX6GTLgfMmGMaUFaqvJiOnwkkujo2sfxmm3PTbuAiyyR4rMZf+BEsaFQFfIAPqpdE1Qp4u87\nX2RS0Xiq8ivVbRZnD6/vfRtIgbnWR2FOIRfPuIAZpVMBuHTWheo+vUZHiaGYXR176LB3UmwoGniC\nKJeqSfFTFc9d6kn1b5Dq/qMlW1Q+IwoReeEn7smQ/TXZZFleAPwAOBJ4X5blD2VZ/ka8+xsuYrE2\nculvrgU4fuwyrC4bn/gCGkqNJQB8Wvc5ezv3s6VlOwAfHlpNk7UFSIW51m9OkFhWvVgdY396XF53\n10c3/U/fxni8kBKZQiVF9FlrE2+uTZugrlAJYdNlwkuTYQyKKGsWGfFKoRJNMuShOouoVFqaPKcJ\nJi6aPLPZvB9Y4vv8j4Bd6VtRI10mYkHC8Ade+HPbmfT5jA7Q1gHcsOAKfrPmjzT0NHHPhkcAmFQ4\ngTZbm3qMQZuTpBFHx9eql/DeoY85bKkLuT9qYSMJz0Tq/cEEqX65iXtAkGj6prIMFp7jRPoKYcki\nXVa2grhjdzsAVMFuYuF48nS5Qcf4zZw72nap2/Z1HaDT0Q3A+dPOYWrx5GQMtw91sTr4y3DF5NMA\nKM8tS/CA4kGqn7PsS6HSd/coAZ/S5QKkyzjCk6xr5VXkpf/1GJrhpVCJ6BJEnFR9kJOmW4BUghEV\nLwQjFocvivaMiSdh0uezZPRC9nceCjpGI2nQaXQhU6vMKJnGCeOOTcpYYyFHq2eMaTSt1rahDxYI\nBIJsQWRQUcliIU84Zo50nB4HORo9Oo1OFdb8iYYDueLI77K9zYzL4+bj2jVcJH+DBRVz0WlS9XhE\n7uNSmFNAraUeh9sZFHU7rN5HZFmzJKVQSSftQEifPFJtrRVlzQaQ6h9keAy/nF80z6bP73XobMhh\nz5ltgl8WC3mCkY5X8An2p8vVDRTyZpZNZ2bZdAC+OW1FCoW76CnMKQDgn+aXuWTmBbg96RXELhAI\nBElHEqo8P5nzNos3mb14EkSAw+MMiqwFyNfnDdomvQS8oW/S48cu40DXIT5v2MDYgmo+3/R/fFNt\nnn6BF6nWdCVES5m2iLJmcUGUNUssMSVDHs7+7PLJE4EXWfxsjXQcbkcITV5qqldERRQT/oTCcVzk\ny0z00u4R2wDPAAAgAElEQVTXcCvupPYf+SnFg5YepMfvkD4BIIJhE69nO465kCXhlKeSTmqL5JIl\nUnw24/R4/dQC0UgaLpt1EW22dhZVzk/RyCIj0lu0Iq88sFVCxhI/Ul3WLHEoaeeT5/1voECV6jGm\nuv9oSca9k/AuEk+s934szYYsazZINP2w8/plFtkr5KmMhKdL0B9FUbw+ef3MtQBHVS1IwYiiIMpb\n0qTPVz/naNIzp594ztKEdPkZMkGqyYQxjiiGvt7CIhA9WSvkZYkQn5XUWupZ17ARBWWAT95IRKvR\nIiGhoDDaVAk0enekpU9e4rsYlCRUvEg70k6Rl+oBRElSxpum906GI9wCsljIUxH3wIhide3n/MP8\nkvp3Y29zCkcTK9HnG/FPZlX9KnrE1v3IK2uWNMEmnQSYUGNJF0E0TYYxKMm6Vul0z8TCsMv5JSAb\nckTRtRl+3SMkewMvMv3BEoRkV8eeoL+7fJUrsoWJheNibpucmqviuUs1aVNbN0PIlsv1xr73uH3d\nfTh8lYIymiz5zSIhe4U8P+myshXEhWZra9DfcYk2TTKxJBf93uyVHFN9NGNMo/vOE7O6JBHPRKqf\ns5FV1qzV2sa7Bz/CowyWFzFUQth0uQDpMo40IMUpVNY1bGRLy3ZW7XuLWks9ezr3A7C91czm5m0o\nisLt6+7jhV2vJqT/qPKUx7GsWbYsdoS5VjCiaOltpSJ3FOMKxrChaRPnTzsn1UNKCosq57Goch7W\nPTXqNk+aLmBuX3cfEhI3HXV9qoeSsfxh3b3Y3Q5G51cxu0xO9XAEGYrNZedv2/8ZtG1z83ZmlEzj\n4U1/AeAPx/yKWks9tZZ6vjX966kYZvSIZMgqWSzkeW8C4Zg5cnC4HfS4ehlfOJbvH3Ex3+fiVA9p\neAwztUDM93ZCFHl9q+daS30COhgcKSp1QYwoSlK0AxubNmP3mdS67F3hD1S/csB3VgJ3pIhMSf6r\nRKw2ylh6nL0Dtn1S+xnjCsaofx/oOjz4SVJQ1myo32TQoWTArRdPsljIE4w0el1WAPJClC7LRgY3\n5aUep8eFPq0qjAxOu62Dp7b+nW9MPYupxZNSNo49HfvUzy393BMEgmjocfWon6cWT+JrY5byP9v+\nwXM7X1S3m9v7rAOhEsynJ+mjyZNlWQM8AswF7MAPzWZzTcD+G4AfAv4owR8DuwdrEw3Z65M3chdn\nWYvVZQMgVz9ShLyYVHnqp6g1eUnQQnkCxtSdzKCYUFqtKLC57Dy++a/s7zrIyzWrwhyVnBdKZ8B1\n29q6E6tvcdMfKZwfYhoo8jKKBA9YSqFms9fpvXfGmaq5bv6PWVgxl+/PvpgVk05Vj9nZtlv93GHv\njP8gYri+Q2rMfftDX9aklzU7FzCazealwC+Ae/rtXwhcajabl/v+mSNoEzHZK+T5Sb2gL4gT/gkr\n4zV5cZrwY/XJS0jCUd8pAwNhMiXyWVEUHt38NIcsdYBXm5HKpKxd9m4kJBZWzOWwpY7X974TcVvh\nnhI5aaAESjh+c+3S6qPQSBokSWJh5VzOmHQyl826CIDG3ib1+E77wGc2Xs9CROeJuq+0+BGPBd4E\nMJvNa4FF/fYvBG6SZflTWZZvirBNxKSdraSkJA+dTpvwftwFuTQBhYVGyssLEt6fIPGUlx/JC9Me\nTfUwho2lK5+DQF5eTtT3ZndHPod8n4vyC6JqbzcZaQGKinIpjfMz4S4w0giUFhfwwvLk/0a6ojxq\ngfx8Q0zP++2n/XzIY+q0WhwaTcLnkz+ePvRYADyF3mteUND3nQ9oNCCR0jmvVqfDJUkRj2GX7/+C\nguTO1c0GLb3AqPICtAZDwvqp02uxk5rf5PTyYzn9iGND7jur/HjOOvL4Ic9hzTfQBhSX5FMUw3fo\nzsuhAygpycc0RHuPbx4pGOK97bbnUAPk6LUDjmvUe+WL8vICJG3iZQ2gEAhUgbplWdaZzWaX7+9/\nAg8DXcArsiyviKBNxKSdkNfePtARNBF0W7ymva4uKzRnhkZBMDjrGjbyt+3/5NvyeRw7ZkmqhxMz\ntjavn0yv1UlzlPemrb3Px6atpyOq9j0WOwCdnb244/xMdHd7taz1rS1c8/yVAFw680KOHr0wrv2E\no6fT239Pj33Ia1Lf08gb+95FLp3K6tp1HOj2is23LPk5t669E4Djxy7jW9PPDWrncrlRFCXq3yxS\nrn7fK9zpNXoq8kbxy6Nu4MZPbiVPn8stSwYKft3dNvV/yTcmt9sNCgkbYyS4XG4UjyfqMXR329Ak\ncdx2u/d92tLcjcaQuNxxLpcbEnDfKIMEAvU6e7n5sztUF5er5/6AWSGitP+0/s8c6q4lT5dLj8v7\nbtZKWm5deiMlxmLA+0wBdHT04gj4Ds/teJE19es5omwGTo+Lb0xdwbiC6gF9WK3ea9ve3oN1iGvQ\n3TXwng6Fx+E9p8PhGnBdHQ7v79rcYkHSxMeYOYSA3gUEHqDxC2uyLEvA/WazudP39+vA/MHaREsW\nm2szzTFEMBT+PE65mW6ujRNRm2uT8Eg4PX3mWrvbnpA+Pjy0mt+tvUuNQA0kEpPQqr1vsaFpE//Y\n+ZIq4J0x8WQq8kZx7pQzASjMGTipJ9KE6w64bk6Pk8q8cgBKDEW02zoH7zvNfPIyzikv08YLbGnZ\nzg0f/YqXdr8Wcv+/dr+mCngABSHuZ4CfLbyae46/jctmX6Rucytufr3m9gHPl8PtVPPqAaypXw94\n/UbN7TV8Vr9uWN8pKtLrJ1sNnAkgy/ISYEvAvkJgqyzLJp/AdyKwYYg2UZHFQp6PbHC8GMG0WNu4\nb+Oj7O86qDqgG3WJM60kB1+6kViaBryQ3GGia50eF5uat/HzT34b5FTdr/v4EsInL5QQFg9e3P0q\njb3N7O882Lcxihe137cTYEnVIh464U+smOx1RJ9YOB7wXsOQJEgg6HZagv4ea/JqREqMJTg9ztDl\n+0KWNUvE6KInI6bdpA0yfveM1WWl22Fhe+sunB4X7x/6xLfdpkbbexQPXzYHywzFhsKQ59NqtBi0\nOeTr8wbs29nmM6T7rtNHtWt4fMvf+O3aO/EoHnRSsCl0b+eBMKOOPBJWiTgbcvpE1wKvADZZltcA\n9wE3yLK8Upbly30avF8CHwCfANvMZvN/QrWJtfO0M9cmjfSS9AUx8nLNKmo69nH/xsfUbdOKJ6dw\nROlDuGofj2/+Kzt8E/SntWuZUTrNu2MIAWV3+172dR6g22nh61POQBdD+hOX0iccRaLJq+nYx792\nvcqVc39AkSE6fx+r2zb0QSGo72lUPxcbi4JMXv7v7Aon5CWI/kEqk4smArCoci6bW7Zx2+d3c3TV\nQi6Yfs7QmuwM1EyllAy6XPdvfJzDvgAhP1tatvPY5r+yfOwxXDD963TYOweULgslxAVi0uern4ty\nCuh0dLO1ZScSEgZrGxJwqLsWir1pfba17sTlm3/On3YO6xu+5LClDo/iQSMlXrekPrNpIOOZzWYP\ncEW/zTsD9j8LPBtBm5gQmrw0uAkEsWNxeDUcfs3KyhnfzJA8ToMwrOSifW38k6zVZaPGl1utztKg\nCnjAgBdCUP8BuD1uHtn0F17d+wbvH/qE/V2HBrYbFO85XQFmR1sEQt7DXz3FIUsd7xz8IMr+vHnt\nBg5j4HdTFIVaSz37Og/Qae8O0prpNfqgY1Mm5PmiGs+efBq/XXIj00q8C5mFlfOYV34kAJ83bODx\nzX8LaOVPIyHKmqU1khQXU3+nvSvk8/zY5r8C8OHh1QA09DQNOGYowSs/QMj7/TG/wqTPZ039Oh7f\n8jc2NG0CoNvZ5w/s77PEUMwJ446lPK8Mt+IO/UxGI5BFnZ86fFmzbFnsZK2QJ2XS8kwQlhZrm/pZ\nI2mYXjw1haNJL/yavEc3Pc19Gx/lYNdh1az3jalnMcY0GkvAxDwYrbY2HB6n+rdfuI4Wv/kIwO6K\nwFwb5Yo80HetzdY+5PG1lnp+t/Yubl93H3dveJhtrTuD9mv7vfz0Gq8JKtlCnj/VRUGOifK8sqB9\nZ08+TRVGd3fsxeF2DmgfSMrnvox7uWbGePf1M4fm6nK5cPo3BhzXbvcKWoHauaHI1Rn5wRGXcNPi\n69FImqAgDf8z5wlhOfD3VWYsBbyBHElBCrXAyU6yVsjrQ9wEmUq7rYNORxfV+VWcMn45l8y4YMAL\nMBMZVjWlgDZuj5vd7XvVguMNvU28c/BDAEqNJRi1Bmwue0QToV84rM6vAgb6iIFX4H5663ODatAC\n/QQjMdf2FTwaeowHug7xxJY+TdaGxq/Y5/fLCyNYvL7vHZqsLerf/kz/Z0w8mdllMzh2zNFBx+t8\nwlRInzxFSZgA49d6GrXGAfuq8iu49/jbWFLlTaXV4Xux9t0L/cuapQGZ8PLNhDEG4H9Gz5l8OjNL\np3PR9HM5buzSoGN6nVbV53R+xRxM+nyumPPdiM6/oGIOY33RsTNLp6vbA+/4Hx7xHfVzsaFIzbVX\nZiwBoMfVq845r+55g22tO4PStw9NhFq4wfYHlFjMBrLXJ0+Q8ezr8r7Aj6pawCkTlqd2MGmIS3Hz\nRdNX6t+BhciLDUUYdUYUFOxux5DBKn4Tz5TiSdT1NGBxDNQAvn3gAzY0baLZ2sqNi68Ne65ZZTLb\nW81hhTxFUdjTuZ+KvFGq1mmo6d/lcXHfxsdwBmgbOx3d3L3hIY4bs5QzPFNCtvNX3RhrqlZNXdOL\np3DWpFNCvgR0KdLk2V0+IS/M76SRNJQYiwBot3VS4Yu+FWQPzb4Sd3PLj+C0iSeq2y8/8jJ18fPf\nn9yiRmYvqpzHhdPPjUnYWVgxl057F7s69uANBoX5FUcyv+JIzp1yJuMKxvT5+uKdo1/c/W+cHif7\nuw5SnjuKtw98wNsHPuC3zI/1Kw9NhgnqiSB7NXnZIcSPaPzRkxMLx6V4JIkihps0YMJ2uB1YnaFL\nXhUbCsnVebVCNl+AwmCTfZNPSzDV5/C/sWlzcD8uq2oePth9OCg9Q39OHPc1oC+61uLowRlgYtzW\nupP7Nj7KTZ/epmqw+juK96fD3onT46Qop4AfH3lZkJnq49rP2NnuiyLuN+n3Oq3k6/O4fkGfj/Np\nE08Mey1Un7xQQS2KQqImFv91MGjDC+PFBq+Qd9hS5zPZpmdZs1Sba6M14SVc4xOnsmbN1hYkJMpy\nS4O2zy2fze+W/oJZpV4Tq1/jl6fLjfm7aTVaTpmwnAK9Sd12zBiv1vCUCcuDBDwAvVbPVXO/B3iD\n5fZ09tVfHq7vcejdaRVdm1KyV8jzI+6BjERRFHa270YjaRhXMDbVw4kzcSoTBGxvMwPe4uOBFOUU\nYvQJDDaXjU9qP+Ol3b6arCEmxobeZjSShklFEwCo62lQXxZ3ffEQP/v4FtoCzLTbWnYMHIwPk95E\njjYHm8tGj7OXGz+9VXXUhtDBIH6ftHD4+146ejFzymdz3Nil/HbJjUO2t7qs5OpyVYEXYPwg95NO\nSk3gRZ+5NryQN7loIhpJw8s1q3hk01/CHJW9E565rYabPr2Naz64kXcOfDh0gwy6VE63k4Ndh6nI\nK0cfIuq9LLeUlTO+GbQtLw41vgOfg5x+QUr9mV4yla+NWUqtpT7IqlBrqfd+8M07HsXDjtZdasqX\nICIU2rLFFBsJ2SvkiZsgo6np2EutpZ4jR80aAXnxwhCHe9SvUfvxkZep235z9H+h1Wgx+gSbN/d/\nwD/Nrwy6OG7qbWaUsZRSn28NeCdnj+KhrqcBgF3tNeq+F3a/SnNv64DzKBKY9HmUGIposbWrwpmq\naQOaer0+cgU5fVqCba072dpfcAzA7wfoz8IPUJ5Xxn8tvBoIn9eu12VVax2fMO5YFlfOH/Tl53+B\nOj0uvmrawq72PUH7EzWt+M21g2nyqk1VXDnHqy3Z3bE3YE+6qfLig0fxRCVsb2j6Sk1F8397/kOd\npSFRQ4sKKQ6avE3NW3F4nBxRNiPsMYHPE0CebvC0KZEQVFkogtvqIvkbTC8Odp3Y0R6cq/PlmlU8\ntOkpVtcNkjw50ls41HWNo++sy+MK7YOcRmSvkOdDRN9kJu8e/BiAk8cPXVsx40jAPWnQGrh05oUs\nqJhDee4ooC89yPrGjf0HEPSXxdmDxdlDRV45kiRx9dwfAPCXrX8PWpEDHF21EKPWQI+zl3+aXw55\nzjx9HhV55Vhd1qDi536afFpDf8Jf8EYKf3Do05DfbUfrLp7Z8TzQF8XX97296XQC8/P5cbidOD0u\nVcg7f9o5fHf2t0P24Uer0SIh0evs5cmtz/LAl4+HPE5RFBRFoaGnibf2vx866XQUqJq8IRY0s8pk\njiibCRAUDR04rkRTZ2kIWci+30CG3c9DXz3F7evuH9Q1wM9b+98fIDQEBtyEJnPeDR/VfoaENGg5\nx/55LXO0g2veImF6yRROGb88qjbzK45UPwe29d8Snxz+DPDeR90OC+saNvbdtyn+SZ7e+hxPbf27\n+vdLu1fx6zW3p3BEQ5PFgRcjYzWbjbRYW9nauoPJRROY7DMfCgai+G5xvUaPVqPl6NELg2rFNvd7\nyfnnz09rP+e19ue5/ZhfU2Qo5I197wKoDttjTNVoJA0excMXjX2BHUU5BZwx8WROHn88f1h3L4e6\nawfUz9RqtOT4aq8Cav4+6Ku12WRtYVRuKedOOROXx8UlMy/gzvUP0mH31ut2uB08seUZdBotV8z5\nHq/te0s9x4TCYFNrjsYr5KkBGQHCxfPmVwDoiTCNTN91UoJMyg63w5ubMeDcj23+K1tb+zSPo3LL\nuHXpjURLY28zpcYSNUhlME2en2JfAEav30TdX6BKoBXD6Xbyh3X3opO0PHDCH0MeEw9Tmt3twOzT\nHK9r2MjxY5ep+1qtbbTbO5lQOI4XzK+wv+uQqm2eXDSBk8Yfz5NbnqHFOlDTHGbAwx5vomm3dVBs\nKFKfq6EYzOwfLf3TDA3FktGLWV23jslFEzl36pm8IP0HgPcOfUSpsVX1d83T5/LAl49T39NIvj6f\n2SFq6w5KHH83j+Lhg0OfqjkB79nwMFfO+T4f166JWx+JIouFPD+Zs1oTeNntEwwWVs5L8UjSj1Av\n0HAT+onjvsam5m1BEakA21vNkGfgl6t/zwPLb1eTqFblVwJQZCjgpsXX89aB91Uh75zJp3Py+OPR\n+qJP55UfwVfNW+l0dFFsKKLT3gWAQZODJEmqwFgTYFa0ue24FTc9zl4mFU5gbEG1GhBRZCikrqeB\n3372J0qMJapp+EDXIQ4EJGbO65e536+tCGWuXdvwBQD6YSbPbuhpYrxfuJQknB6XKuBJSJQZS2ix\ntvLGvnc5Y9LJ2Fw2Ht/8N6YUT+KY6qMoMRbTam1je9sulo1erF7DPR37uXfjIxxTfTQ2lx2NpAnp\nb9Wf4hyvkNfh6GKA4TnB012rzZu30uVLfBtoPg8ex/AGcqi7Vv28u2OvKuSZ22p4aNNTeBQPFbmj\ngrR1kwrH88MjvkO3L8ej3y0gHJli5VEUhS5Ht5reZDC+O+vbNPY2c9qEE+LaPxCxUJWj1XPTUder\nf7t8vncbGzfT6O5bGB3qrlWrz9R07PUJef6Sj5H1Fa/fcHurmZdrVql/7+08wOcNG9TFbjqTveba\n9F+cCcLgf6lP8tURFQyOIYwQM6FwHPcv/wNVeRVh29694WH184KKOernalNVULtpJVNU4QT6ym75\no3Df3P8eADqf0FXpaxtYQqzT3sX6hi8BBmgkiny1NZutrUG+f3d+8aD6+dalvxgwfn/1E7/vlsPt\nwObzbxvtE1ovm3VhyO8+FNNLvIm323x56XqdvTjcTg51H1aPGZVbypzy2QCs2vc2ALWWBnZ17OGN\n/e9yx/oHONxdx82f3cE/zS/zmzV/VKOOt7RsB2B13ef0OHswag0RacGml0xBQuozTybRJa85QDu2\nau/boQ+KQ/+Bgr0/yn5D41f8+asn8CgexpqqB5hjxxeOo8hQSGVeOfn6PDY2bVKvdYu1jX/t/jdv\n7HsvKKG2d7xJeFkMQxjpcfbiVtwU5YSuPxvI4qr5rJh8Kvo4mGrjRWUY7WNgYvLDljqcHteQib6D\nCOPrGIvg1xSiNvS/dv8bj+JRK86kK9kr5PnJjMWaIIADXQfRSVqqTaNTPZTEEKeyZv7V7lDlw0pz\nS/pt6Xso/BqThRVzB/iDBTpyl/bT2Cyu8ua+MrfVeFe6vlP6V72hzEqd9i7e8/laLuqnpS0KU0A9\nkFH9UkdAn4Dr1+S9c+BDbvv8bgC6HRYq88oZlRtbAu05o2YBsKPVjM1lp83WgVtxs6l5m3rMpbMu\n4lSf1kRCwqN4sLr60tpYnD28deB99e9OR5cqEAdW7GiytjCxKLJFzZTiiZw//ZzQaV4SOOE53E5W\n132u/l3XU5+wvvxCXpmxlHZ7Bwe7D/P3HS+q+3+x+DrV53SMaTTzyo/gFJ//rl6rZ0HFXKwum2qy\nfXLLM3xw6FNW7XuLtfVfJGzcIRmmEOkPJimMsrZz3Bimtmy2z4f0spkXcs28H3LpzL5Fl1FrQCNp\n6LZ38+cvn+AVvzYt4Jp12Dt59+BHAzVqg13XKK55naWBl3z9XjHnu6yc8U2+Nf1cNTH50tGLIj5X\nKshic61Q5WUiTreTw5Z6xheMjch0lc1482W51UCLcPgjZpVBHgl/DrZAAssiFeYEv2AK9Ca0khaL\nsydIWPFXvCjQm5hUOIF9XX2lmF7d8wbt9g4WVsxlQr/ch2UBUb3zK+ZwsOswrbY2ZpRMY3LxRDV4\noj8aSYNOowsy13bYO3F73FicPao2Lxb8QuWndZ9jyjHhFzHfPfgRAP+18GrVZ3RBxRw2Nm3md2vv\nUq9VUU4hnY4uVds5uWgiezv388GhTzim+ii2B9QYBtQ8Z5FwZNks/JkM63saCf71EjP3ralbx5aW\nHVTnV9HtsKiR0xZnDzaXLUCYHn7/jb3N5Gj0jC8YQ6utLahc1pkTT0aSJCYVTWBXew0GbQ4/OvLS\noPbFvkVDh72LwpwCDlvqKDEU027vYGPTZo7pV+kknfEL1uUxLlZSjd8CUJE3itxSr3b85ZpVWJw9\nnDT+OD5v2EiXo5tORzdzQrR/cderfNW8laq8Co4YNTN4ZxzMtYGLtjJjKUf6FndHVc2n1tIwID1V\nuiHekkKVl1HU9TTgUTyD5jLLeFRFXizJkPs+VuVX8IMjThpy8g8UoAAkBS6SzwuKjg2lSfP7W00o\nGDegwLkkSRTkmGi1trGuYaM6LH/CZEmSuG7+5axv/IouRxev7X2LA92HMOnzOXnCwIjpQEH1h0dc\ngqIomNtrmFo8aUDUYH9yNHqcitfM4x/HgW6vJqi/cBoJty27CY/iUTUo4DVHryR4Ngk0Z48vGMvG\nps00W1tVk+akogl81bwFAJ2k5b8WXsXr+97hP/ve4cVd/w7S+AGMjUJzXWosZlxBNdDFttYdqIk1\nonjp+TUjGknDhsZNrKlbx3nTVjAmzDhabN7vdcnMC/j3njfZ2b6bDnsn9254hFZbO/cd/3vVfD5c\nXymHx4FBZ2B+xRy+9F1DP2dNPhWAi2d8k8c3/41zJp8xoL3ftNll72KLz1/0mOqjWde4gZ3tu3ml\n5nUWpYFPnv86hZsLai31fHh4NVV5FXxtzNKQxySNOJq1f3TkpUhITCmeyI623ez1lWZUHzBfVy3W\nNlUIO9RdGyTkea9ZPFKo9J0jcL7I1eWmvYAHQsgTZBh7fUW4q02xa2CyiUA/unD0F/IAJhSM5cyJ\nJ/Of/d7I2nEhnLonFI7j2nmXhzUjmvT5HLbU8fq+d5jr2xZoUtFr9SyrXsz+roO8ttcbIXvTUdeH\n1BqW9hdEJWlAVv1w5GhzcPYzWa+u9fqrVeaH90cMh38srv6+WwF8fcoZQfn2Thh3LLPLZvD3HS+q\nAubiqvlU5I1CJ2lZMnoxABU+YdYfuFFsKFKjikf76gZHgiRJnDjuOBrZSU+YqieD8cGhT3lj/7sD\nkkj/z7Z/8KujfhpS6OjypU0pMhQyKq8M2nfzq9V/UPfXWurVZNrDxel2kaPRs6BiDh7Fw1+3/++A\nY0bllvGro38asr1/0fL6vndot3cgIbFk9EK+bPbqP989+BEznAa0IVsnHqvLysNf/YVaSz3FxiLO\nmXwGc8tnD1hMbWvx+q2dPvGksL63mUig8BRqIdZm6+C+tXehlbRqXetDIZKox0OHE2iJiEcC6WST\ntT55IiN25tBp76LXaaXd1sG/dv8biO6Fl1UE3tcR3uOl/XLLzR41k7EF1eQHmGOnFIVescqlU8O+\nXALNuf5UJseGMINV5VVSkTeK86auCCngQZ9Qv2z0UYN8k9AYtDk4PcFl0fyRteG0UpGQHxDJW55b\n5p1MJVhcOV/1w/Oj0+ioNlUFCctFOYV8fcoZnDX5VMp8fpFlAf6RBTkmlo5ehEGbw9xRszHl5BMN\nksb7+1td1mDN2RC3RWNPEy/tfm2AgFeZV059TyMHAwJLAumwdyEhUaA3cfqEEzl9wolB+w/428Vh\n7nV6nOg1eiRJYnHVfB464U+cM/l0fjLvRxG1999n7b6gGYPWQImxOGgRoiZLTkZZM4K1m+a2GvZ1\nHUSr0dHU28JTW59lQ+OmoGZuj5u1DV+gkTQRL3gSS4zXaYjrO65gzIBtB7oO09jbTF1PA/n6PEz6\n/KCIa/954xFd63c7uGHBlQOE7Ewg80Ycb9JAJS8Ij0fx8MvVv+e/P7klKOlkNKarzCO592R/LdnS\nqkVoJA2OAMEoMHI2UvymuWnFk/n6FK/JbEoI84ZRZ+CWJT/npPHHhT1Xri6XB5bfzrdnnBf1OEz6\nfKxhgk/Gh3iBREqgH+Bvl97I6PwqcnW5XDLzgrBtSgKudSitQJmxz7Q+Oq+SFZNP497jf8/lcy4b\ncGykeBQPPS5/zryhjze370FBYeWMb3LDgiuZXTaDc6ecybJqr4DdYe+k22Hhd2vvCsqT2OnooiDH\nhPFJEgwAACAASURBVFajpcRYzNlTTue6+T9W9zf2DEx8HSsOjzPIJ1eSJE6beGLEws7o/ErOnXKm\n+rfLl0Zo5Yzzqc6v4pKZ31JFlldqVg2MuE0w+32BJT864juqYNFfuG7obaKxt5kFFXMGVLNIKvF6\nh4Y5z2kTTuBXR/2U0yecqP4mga4M35p+LuMKxtBma8cSmPMyTsJ5l6Mbo9aYEabZUGSvkCcUeRlB\n/4SlU4sncdfXblVLco1ohlu4O8L2hTkmphZPUqPc/CyunM/o/EpuWHBlDOPwau2OHDWrn9AT+4On\n0+hiWkkXG4pUkw4KnD35dIxaI4sq5w0QcKNBq9Hy3VnfDro+kiQN6iMYGIUcKlikyFDAmZNOYYxp\ndFDi6tjwF2kPNjn5o64VRQmZ42t/lzclyZSiiUwtnsRVc7/PKROWq2azboeFz+rX09jbzP9s+wfg\nTcbbam1T8x/6mV4yhbuPuxXw5qXrn5vO5XHx0FdP8bu1d6kBKOHY3LwVj+JBURScbuew0oBIksQp\nE5arCwt/JPLkogn86uifsnT0IvVee+/QJ2xt3ZE4Qc//nAYIOfu7DiIhMb5wLL8+ymty7u1ndvfn\n+6vod81TRawy1VBWNUmSqDZVMbV4srqtrtebeumOY29mUeU8qk1ey86AVCdhypoN1meHvRNbQBWV\nboeFwlQK0cNE+OQJRV7a8knt2iDn/5uP/llMPlSZRrKTsEqSxA0LrqS9412aWY//oSgxFvPro/8r\n5vPOLpvBbF8tzfYUPmjFhiL8yTy0kpZl1Ys5fuxS1YQ8HPypYiIl0L8o0JwdyFmTTuGsSacMa1z9\ned78f1w843w8ikf1M/vT+gdQICgxLcC+rgPk6owDhAe/tqjbYaGhXzm6Lxq/QkEZkPoGvFrYwpwC\ndrbv5ta1d/IDqxOTotBma+fN/e+zwxdF/Jetf0d75GXM9eUV7M/mlu2UtJr56PAaFBQ1RcpwOG7M\nMj6rW8/KGecP2KeTdIBXA/zElmcoNhRx4+JrYwrWiYR2Wwcf1K7G5XGzu2Mvo/MrydUZ1YoSHfZO\nXB6Xuoiw+IS8gjD3UfKIlyZv8N2BibU7bB0UGyrVe7LE4N3X4Qui6TtndGPb2babB796krnlR3D5\nkZfiUTy+ko6RVRJJR+KiyZNl+WhZlj8Msy9PluXVsiyHr5ycEoQqL51RFIVX93jL3RToTfwmSwS8\nVJKUJyIFvrDFAZHBlXnlFOYUkKvLjckEPSgRvFD8PoDHVB+VNL9gCa9m6A/r7qXH2YsieZ+vQ5Y6\nDlvqcLj7zPIWZw9NvS1MLBw/QGvqF25W7Xs7yEzb0NPEF41foZW0zA8T6DMtQAtj8fn6/XvPm0F5\n9QCe2PK3oJQV/Xlt71tsbzMDxEXIG5Vbyl3H3RpUT9VP/+/fYe/k2e0vJEyj99HhNbx/6BO1VJb/\nmuVoc8jT5bKzfTfXf/grDnZ5zbbdPtOkKYO1TNEQqCUuNZbyvdkr1b/9gTSdgUJe2Ocr9HPaae/m\nqa3PArCpeSvgfR4UFAoSJNgng2ELebIs/xx4ChhgP5NleRHwMTBluP0kCkWo8lKK2+Om1lKPxRFc\nP7TF2obVZWNR5Tzu+NrNVGWjgDdMa23MJOKRSKHv69gAv7uCKIMXomYIwa0gx8Q9x93GRXL0voXR\nj8X7X3CpNwWPogT5NL2x/z3VbNvg85sbaxoYTR3o91VsKFKLy79cs4rDljpmlk4PCkYJ5HuzV3LP\ncb9DLpmKBw/4NHl+vh/wwvYv7kIRWDM40VUbtL7fcknVIn7nq6ayvc3cV0kkAI/iCVk6Lxre8+VX\n9HP25NPVz/6qCgqKmmHA73+Wck2emtZkuJPP4HOEJEks80WhnzftrCAfOX8gTZCQF+VkuLFpE1af\nmTbX5w7kjxjPZHNtPDR5e4BwM5YB+AawM8z+1CEUeSlHURRe3/cOt6+7jxs/vTXIn+KQxRspFSqy\nShAh0U66SdAspSKofXrJFE72VTtIbMLYyARZo86Q1Ci9syedyp+OvYVRvihqBYXOgBx/bx/4gDU+\nwaXTl66l2DgwyrlAb2JhxVxydblcMee7agSxv/zUvPIjwo5BkiSMOqPPP9JLYDRkYUBJrkifea85\nNXGUGktQgG/J5/oSi3sJrLcMsKZuPT/54Bdc/+EvabW28Xn9Bv6v5j84A0pwOdwOHtj4OB8f/owO\ne+egAuEF07/OLxZfFxSYc/HM87ncl9DZLxz7/88WTR4ERsMHTyT+vIef1K7l3g2Pcsf6B7wJP0P6\n5IU+d7svijZXZ8TqsmF3O9RFRdUwkqanmmHPNGaz+SUgZEE5s9m82mw2Hwq1L20QiryU8cGhT4JK\nOgWukP0vgHGmLBTy1IkpRaq8RGjdUvyczfEJIAX6xL4QIy2cngz8Y5GQMOXkM6d8NhKgKB5VQ7F0\n9GI0koYPD69GURTVpylUKhtJkvj+ERdz59duYVzBGPL0uUH+aZGUXfOb1RRFweGLaD26aiGTiybw\ngyMuAQjrK9k/SMbmtoU8Ll74awX7UwT9fNFPAAYEq/jL0AHc/NkdPLPjed45+KGapqfd1sEDXz7B\nro49PL/rFX6z5o/8evUf1BrM/c32y8ceE1LQnVjozTHYamuj1drGhsZNFOUUqsJ7yhjWfEXIFDJD\n9tXvmpUaixljGo3NbWNP5z4Oddf6BOnQ51Qkibf2v8/bBz5AURQOdB3ivUPekorjfIn2V+19i2d3\nvADAxH4VeDKJ7A28EHnyUo4/Aa6ffZ19Ja5UIS9EEl5BZEQvcCTjmRDPXarwR6QreNOdAEwoHIvT\n4+SLxq/Y13VATbxcPEit4EAt5JSiiXzZvIVcnXFAZG0oig1FBIpIy8cewwXTv66eC8AekO4mMBp3\nzqhZfMpG9e/+efwSzbiCMWgkDe2+a2R12dBJWooNRbTa2sjR5qCVNKrJr6m3BUVReGb782rEMqA6\n8/9l63MsH3sM0wN8InMHyRpQmGPCoM2hoaeJj2rX4FbcnDv1zISbrTMBSZL44RGXsLllO1OKJvJP\n8yu4lWY8ntBCnsvj4t973wRgd/te1c8TvIngd7XX8MGhT71/F44L6b6QKWSvkKciVHnxQFEUdrbv\nZnrxlJAO7Q09jTyz4wVWTDqVWWXeGpxajQ58q/mK3FHU9zSi+MLbW61tmPT5/fyJsoQwq9VIiMfa\nJTF+qil+zpIhWypJ6idS1JvBe+2NWgMo4EHpK2qfU8iiynl80fgVXzVvpdXaBoTW5IXiu7O/zZK2\nRZhy8iMyQS+omMNXGi0STv68/I9Bc4U/r6LdJ/R8Xr+BZ3Y8z3W+/WMKqvnpEUt4Y/+77GjblXAh\nr79mSSNpKDEUsb/rIL9a/Qc67J1MLZ6ExWnBpM/nT1+7BbfHzYeHV/NyzSra7Z1sbNrEro49zCqV\nOWn8cayt/4Jl1Uexo20Xbx/4gFX73uYbXe2Mx1sG7ycLfxx6MHgFmQmF49nVXoOt0Y5Oo2N++cCA\nkWSjXqVY7/0YKoyFmucq8spVt4ypxZNQ2ITTM9DIqChK0BwXKOABat1sBQWTPl/V4GYqcRfyZFle\nCZjMZvMT8T53fEmn2TjzWV33Of9rfpnjxy7jW9PPDdrncDu57fN7fMet6xPyAl4Ko/Mr2dSyjW6n\nhcKcAnpd1rBO3IIISUtFnnjuUoVRZwC8L7k+h/ICqk1V5Olyee+g11w1yliq+jgNhU6jG1gUfhAK\nckyMLxyHvXH3gMWg3yzqj/bdF6D9AtRapqN8fpWuEC/wuNPvfj15/HKe3/WKqvGs6dgHQLWvAo9W\no+WEccfy6p43+LJpM1/6cv+dMekkJhdNVJM1Ty+Zwo5Wc1Aprhml00LWiA5ELpnCrvYaOuydTCue\nLLR4Yag2VYEE7dZ26iwNah69cFw680Ke2fE8Y0yjg0zlkS52BkOWZQ3wCDAXb06eH5rN5pqA/d8G\nrgdcwBbgKrPZ7JFleSPgjyTZZzabvxdL/3Hx/jWbzfvNZvMS3+d/9BfwzGbzcrPZnH7BF4K4sa/T\nOyGvb/iSzc3bgvxWagMmMn9Un9PjUlfivzzqBtWx9a4vHsLtcdPrsoZMFisYAiFEhSYav59YUdJM\nlacq8vyaPK8psN3eofq/FhkKMGhzuHb+j9VcYIurFiQ0vUs4jZ9G0qDX6FVNXnO/xMl+Vkw6lZml\n0/nhkd9J2BjDcdzYpXxn5rcGbA9MQ+PX+AUysXCgv6I/6jsaj7YTxn1N/TzZZ95OG2K+Z+LveyyX\nTANJwq24uXvDQ/zT/Apr6tZ7098EzAHV+VUcN2YpR1Ut4P7lt3PjomspM5ao5ROnFE+MYWwDOBcw\nms3mpcAvgHvUccpyLvB74ASz2XwMUASskGXZCEg+2Wl5rAIeCHOtKGsWJ/wryl6Xlcf/n70zj2+j\nPBP/V6dlWb7txIlzX5OQGwIkQAhXuQvZpdAWltKWbilt6ZZ2fy3dttuWPXpCW7qU3pRCuxSWo0Ap\nUO4kJAQSQu5JnDhO7NiO70PWLf3+GEm2bNnWSBrNSDPfzyefeI533kfvNc887/s+z56HcFgcfPe8\nb2IxmRNCzXR4uohEInR7uokQYd20M6l3TaNlUHJX2+3t4amGvxKOhCnOw2DQBYES+y6MfqY6dost\nXrWxTQsx/18zS6fzrbVfwRv0UmQpUklCyZoXW5PX4emk3F4KJDpedtlL+PyqTykvzDht9uy6M/j7\n8Tfo8/VxxpSVHOo5wvkzzkm45/pF17Lz1G4OdB/iijkXJ1Vsr553KX2+fly2PUAvs10zJhWpyGJn\nceVCDvYcThoiUBUUDms26qaUHlVTXEWvzYnZbsUX8rOpZSsAB7sPcWF0VejymiV8ZsWw7mQbsVv7\npiUf4rI5F2UrXNx5wAsAoihui7qWi+EDzhFFMbb2wAp4kax+TkEQXoqe+zdRFLelk7nmlLzKSidW\na5adlCajrJg2wOVyUFubv44OtcIdtR/jDj6W9Frd1LO5aEliYPoplPHYnAfix1fVbuCq5Rvix7dz\nkzKC5gG9rcU0AyVptE2Pf4Bj0b+Limyy0odKizkFlJVlv0/4XQ46gfLyYqpU6G8D3SWcAJzF8spE\nDicsJiIWs2bGE1OZk1bA5SqitraUi2rP5m17CVUVVTz24R+Pk0p52dvsVjyQtJx+948/iv/9wLVS\nrOotv79Okqw0t2N1q82Cz2RKmud9V397wrQX1p7FhUvOmvCeWkr59owvsm/z3fSe6OWyZedhtk0+\n/Xr3pV+a9J5cMlBspxeorCzBlUb9eEqK6AYqKpyUT5Le7yqiAygrd1I9yb1HzWbKi1w89uGfJpzf\n9exXCNkcfPPiL0yYvjZ7faEM6BtxHBIEwSqKYlAUxTDQDiAIwh2AC/g7sAz4EZIP4oXA3wRBEERR\nlO2MUXNKXk9PbnZM9Q9I04aDA146OgYmudtgIt5s3sqfDz015rzLVpJgxVtUuSDuNiDGbctvYUU0\njNHfGl/hucbhHbfzymfz5TM+p5DU2mWoV+oDQ26f7Lbp7x4ub58/KCv9wKBk3env90CW+8Rg9Nl9\nfR5CKvQ3T49ULkNDfsX6ezAUJhwOa2Y8GeiXxriBQR/WqEyBYICg38stT3yJq+deygUzz825XAG/\n9J46dap/zLTwN7b8Nz2+3vjxumlnElOVBga8mHNYtoFAiAgoXp/+gBRBo6NjICUlT2t4PJLltafH\njSeNsnIPSVPdvT1u/JOkHxwYHqPCk9wbCUcIBoPc8GcptvSVcy7h+WMv889uP9agj99vfzJr4QMn\n+fjoJ/HryTxSWYuu2fsBsAi4ThTFiCAIh4AGURQjwCFBELqAaYBsl3S588ipMbTkz0oLDAU8vN68\nhbdObpc1tdbqbk9Q8D625MMsi8YrHangAayvXxv/+4urb+PTyz+WsGj7irkXc9eZw3E0YwG4DXJF\nDvpEIa8Z1OqM9Ij+bDFbsFuK+OH6b6ui4AETtoE1U1fFNzFA4uaswkerDShPiTazVbXLOavu9PiG\nHX9QUirLcxeqbAtwJYAgCGuRNleM5JdIEcM2jpi2/STRtXuCIExHsga2kgaas+TlHqNjAbzZspVn\no36DZpROZ1bp5OtDBvyD/PDdnyWcO3vaGZw97Qwe2v8o29t2Jlyrc07h3Oln0+PrZUHFvKSLu2eW\nTucLqz7Nfbt+xUUzz8/gFxUA6ShEWQlrpsiivOw/Uw65Ui61pMQmEyVaD7mKmzshkciY8tq44Eo2\nLriSl4+/wVMNf41+BD6rnnwGkxN3a6KBNpWAJM8/RzfoxGaRfCE/Tph0J3MWeQr4gCAIb0WF+kTM\nCwnwLnArsAl4VRAEgJ8CvwV+LwjCZqQS/mQ6U7WgZyVPcw1SXUbG/Ovz9ae0NKd54GR8JxwQ350H\ncPHM82nobUyIT1lmL+XGxddN+lyhagE/XP+dCR2DGqSA7LBmyoiR8zwmQtEXt0aVglFiqT70pSDA\nxTPPZ2XNMmqd1RzKgUjjkVPFRaPNJ28xkVCmFUUV8dNAym6CMiW67u4zo06P9DYynrn6xnHOy0K/\nSl4M42sNAPeIqdXBFJ2Mdnklx6k3LNrI8YHmeMBykKyBd6+7iy5vN/e992tOn7ICl4zg8E4d76zN\nbCdqVrwhZx/Vu1muXtZqa1Aj0ZIs8jCZTNQ6lYwznAo5arSqa90ZkmFYs7ginUFYs3EezMg6rCwq\nx2a2xvOckkKElkJAv0penverbDPSe/xgimvhuqMBnaeXTGXDKBcCIHWkmuJqvrPuqxo05esBeWWe\nm3WqarcDJf3kKffozBgtmNp1YJAUw+CQZUwJTd9msfGf53ydzje+R9DTEXcOXujoV8mLYnQr2NLy\nNgd7DsePBwNuXjr2Gt6Qj/X1a6l0VIxJE4lEONx7FIDq4okDZBsKnkwyCGuWHatA4ZnyctYEtdTU\nk/1oLSkSsmXJsew5y05LjSYdYuNVmsnldE45RkMTY9qYy15CF6b8t57KQMdKnn4qeSJC4RB/Ep9I\nOLe38wBtQ5ID0vc79vL/1tyBw1pEm/sUfzr4BIurFnDm1NM52neMhRXzqHJUqiG6wSTIHsdysrnW\n6Heqo3Id5FUbyCdZDRIwjZqu1Ss6VvIM2t2nePXEpoRzVrM1ruABtA2d4o8HH+fWZf/E9radHOlr\n5EhfI3u7pHWjCyrm5VRmg0kw3knJia/7UTCPSERTCkxcFC1Z7wzGoKEmkxk5/SEpmvKSNn199QdD\nydPxAPibvY9w0t0GQInNybXzr6AtieIndktbz9tHKH9N/ZJPxkpH5gGcDTSGIrO1+u1nWkJT1SBX\nmBwLb4TiS43sRTXLXlgzIKrjGXWoJ0+TiRTK11OaBMLBuMXuI8I/8t/nfoNzp5/N3PLZY+51RF2Z\ntA114LA4+P5534pfqywau17PIEuk8WWcsHlCtguVXMzXKp/FhBkr7kJFSwNLDqyXaaGlMpqEnPSJ\nXLTNXJBmWaUzzqWUxpS0TCOR9PLMV/Sr5MXI936VJqeGOghHwpw7/SzW16/FGt1aPr1kKkB8qzlI\nX0OvHH+TNnc7U0tqcdlLsJml8DsVRYYlL+uoPNgbFoxCJo/rNo9FL2yyZsrLzj0J96cnSiGh4+la\n/WjyyRC7pd20M1z1CefrSqZy67J/YlbpDH6y8xf0+Hrp9vbwZMNzAEwplnwLfWvt/+NoXxPTXXUY\naBUN7rxQud8pOuZr9oWiMW/I+h56J0CzDSg/SbK7FsY5V8AYljyddqydp3ZjNpk5fcqKMddOn7KC\nmuIqvn72nWOuhSNSMO1KRwVnTF2puJz6JIPQU1l5gWa/T6huHTRcqEioXQ8jkNsmcr6+SkNlpWky\n84WcHinN1k50k5Y6qrLo15Kn9tesSmxv24ndYufE4EmmlUydMApFsXU46sT0kjpOuts4P4nTYwON\noklDnsr9TsEXt1YXeY9RptSuA7Xzl0MOZTV0yuxiwmSUKXpW8mLoqBWcHGzjof2Pxo/rXdNSTvup\nZf9ElaMSm8WmhGgGI8koqplWw5qpbcnToylP62h8fVWu2mw+Kb3JyDCsmZyNJxE5eZlg3EaT50Uu\nB90qefner+TiDfr4r+33JpxbUrVo0nS3r/gEPb5eppZMUUo0A8XQoilPbZQMa6afD0b9kMM+YbSf\nLGNKviRAZ+WsWyUvToHWd5enhycbnuVDC6+h0lFBa9QfHsDHT/soi6sWUmp3TfqcZTVLlBTTIAnx\ngSmtLxGthjXTCVrSkzW+Jk9+M9OQ7Nkk7y0OsTXE6aUeXnssY3dtKpmZxnOGnGL6AkHHSl5hV/LT\nR/7Kro697OrYyyeW3ojVZIlfq3JUpqTgGeQ5st3k5dAnmIFqqB6VQ+38ZZBHohqMZqLpWh2hYyWv\nMOnz9fP7/Y9yqKchfu7hA48RDAfjxzNLp6shmoFs1NpdW3jEFRulfSGbNVQBRlizPCPP60lzGnFy\nZ8gQSXQaX+Do14WKHBNxHnG0rylBwQMSFLyvnflF7BZ7rsUykEWW2qTsiBex7BXoE5EM3MIYZI9I\nRAMfAmlGeMi1shqJaFBx0SDZqpZsV69JgWfmIYYlr8DwBL0AzC+fy7Xzr8Blc/LrvQ/T6m7nwpnn\nydpRa6Ayab1fjJdScnIT1sykqe9mrYY1M0ggF1bmnJC7sGappDGNp+VpLfqgwuheyVPdSWuW8QY9\nAFw0az3zK+YA8PWzvkQ4EsZitkyQ0kAzqN0k1c7fwCAZOW+XRkdIjeyUU0rvYiOsmWx0r+QVGjFL\nXrHFET9nMpmwmAwFT2/IX3eih89bJV2oKPfozBgtmLr1bMyAjkOBGRxUx2RK7qBcZ+WspbkFgyzg\nCUWVPKtjkjsNNEsmLlSy8AZVJHKD2gOrDn0hJ1v/qKmZC9my5Fb2nPlC1lKjSYNhl0/pPkH++viU\n1vZOeEt+l7kc9KvkFejnZMyS5zCUPAMtGvJU7nfKvrg1pECNxAhrlj75JKvBKJLvrtVq+EGlMKZr\ntfRlmyaRSIStre/SMniSba3vAoYlT69k5Z2kiCFPbUueHk15agswGXmwuzYXaL6eJiFeTOluvBj9\nnInyklEnEzpDTv0x+Y5+lbwCqeRIJMKRvmP88eDjCecNJc8gDW/IyoihKZR7cUcikUIZVgziGGHN\n8ptxdtfqCP0qeTHyvMKfbHiOV09sAuAfFlzFycE2+v0DWM1G1eYtGfmU06gpT3Vy9LLWlKKs7bBm\nxkbJKJpqM+mQSRjGEelSaBCyQj6axnOGnGL6AkHHmkD+V/LrJ7bEFTyAM6eupnxWmYoSGWgK2QOZ\nDsKaKR3xQoOMmSpXuw7Uzl8OuTTkabUB5SnjNzN9lbOOlbz8ZjDg5tmjL2IxWTizbjXnTDuL8iJD\nwSssjLBmWUOHS/LySpkyyH8019wmsOTlUFhBEMzAz4GVgA/4lCiKDSOufxD4dyAI/E4UxV9PlkYO\nut1dOzwVln9afZ+vn69u+g7ekJdr51/BzUtuiDs+NigEshXWLM37FQxrZigeKhOJqB9aTsb0XAJG\nWDNtotVXqMmkldUJGwGHKIrrgLuAe2IXBEGwAT8GLgU2AJ8WBGHqRGnkolslL595senV+N/nTD9T\nRUkMFMUIa5ZFchPWTJPlr5E3ncE4FEhYs3T9/aX10ZFyGk2ENTsPeAFAFMVtwJoR15YADaIo9oii\n6Ac2A+dPkkYWmpuurax0YrUqH53BWl5MC1DitFNbW6p4ftnkc7U38zluVlsMA4UwlxZzEnC5HLLb\npt8W4mj0b4fDJi99aTFtgMtVlPU+MeS00w1UVBRTrkJ/G/KW0AQUF8ssExk0mk1YLGbNjCe2Cqc0\nxpUM1+chwGazqCpjp92KG6ipdmF1lUx6/6Ho/66S7LfLiThhMRE2mRTPs6vIyiBQXe3CXqGNtiOH\n3iIr/UBVdQmONMrK7yqiAygrc1A9SfqhYlt0HHFOOo602CwEYEz9HbeYMJlz2k/LgL4RxyFBEKyi\nKAaTXBsAyidJIwvNKXk9PUM5ycfdL8V4dbt9dHQM5CTPbBAKh7hr890UW4u5+5y71BbHQAEGom1z\ncNAru20G+wbjf3u9QVnpBwYkR9qDA9nvE0NDPgB6ez34Vehvvm43AB6PX7H+Hg6FIRTWzHji7pXG\n0tFjXCAQUlVGn196T3V2DWDxhFNONziY27E6FAoTiaB4nj6fVB5dnQNYA/k3ueb1BgDo7nJjM8sv\nK/egNDb093kIT1LWQ0N+AHp7hyYdR4LBMJFIZEz9hYJhwuHs9tNJFMZ+YOQN5hHK2uhrpUDvJGlk\noTklz0AiEA7y2olNtLrb+fCijbzY9Bqnhjo4rUpgKOjh9Ckr1BbRQClUDmumjDfk7D9SDnr0hZz0\nR2tp6la2KLlek5erjLTUaNIhl2HNsuNCJcfrUrcAHwQeEwRhLbBnxLUDwEJBEKqAQaSp2h8h/dDx\n0shCx0qe9jrWgH+Q5xtfZoZrGh2eLv5+/HUAGvua6PB0AbCrYy8Aq2qXqyWmQb4ge+OF8n1C9UX/\nOnShYoQ1y4CciqrVBlRo5LycnwI+IAjCW0gt6hOCINwIuERR/JUgCF8CXkTaI/E7URRbBEEYkybd\nzHWs5EmoHm4JGPS7Oelu5aH9f6bXJ03DOyxF8esdni6mFNfgCXoZCAwyv3wui6sWqiWugeLE2qRK\nLlSU3F2rFjlSLLQUbF51hXoy8mF3bQ7QejVNSny4yiysWUrFLSuqmTZcqIiiGAY+M+r0wRHXnwWe\nTSFNWuhXydNIz4pEIty361e0DLYmnPeGfKyesgKrycqAf4DL5lxEtaOSbm8v88pna38AN1Ad2W0k\nJ01K7XarR1OettCSIjw5OfWGbJBNxqs6nZVzVpQ8QRDOBr4viuIFo86PcfKXjfyyiooWhl5fH/+x\n7Ud4Q9LC08WVC7ly7gdo6D2K2WRmff06HNaihDTVxVVqiGqQSzIy5GX+UirMMVCPYc0S0cKs44hN\nXQAAIABJREFURUbkfElejjLUcJtJhUgmAxbI85soK+Sjafw2n99FLouMlTxBEL4C3Ay4R52POfk7\nM3ptiyAIz4ii2D7R8/7txZ+zYdZaLltyeqaijeGve9/BE/DyodXrs/7sdNjfdQhvyIfdbONf13ye\netc0AMOxsUGW0GJYM+WzmAhFFR2t6lCaW5OnbvayMNbk5S/jtHO9hY/LhiXvCPCPwMOjzsed/AEI\nghBz8vf4RA/rsx3j5SZ/SkregNdDkdWK3Wqb9N5gOMTzp6Ss645Us3rSFMk50nuMpv7jzCqbSW1x\ntexQYqFwiD8c+DOnhjo4PtACwJfO+FxcwTMwiKPa7toCxNhda6BZCqSeMt5dq0AaDazJU5uMlTxR\nFJ8QBGFOkkvjOfmblEDEO+k9u5qP8auDv8ASLOHb591JtcuV9L6Dbc08d2ALjZEd8XPbm/exuva0\nVERJoNfXx707f55wbknVIj6/6lMpP6Ox/zjvtu9KSF/vqpMti0EhU3hhzSJGWDP10UodpBvWTA0X\nKmqXVT6QtfEiy/U74cYL/aDkxovxnPxNiNnvImAZJBwO89d973DO3KVJFbi/HHgFkyVM2D7A/dse\n598vGd5hHAyHeP3QHl5vepse25ExaU9524HxlbxQOMSezv0srlqEL+QnQphSm4s9nfvH3Hug+xA7\n2t+n29vDhhnnYrcMWxUH/W6O9R+n3jWNSkcF4UiYd9rfA+C25bewpGoRVrPV2ERhkBSjVWQT5UNH\nRTQa1izv1+IVOrmIuJcTMttdm+00475XIxEtdlPFUFLJG8/J34QUUYrH2sqvtz3Pbu+bvNTyIj+7\n/N/H3NcROkEEC5ZQMe32A3z777/BYSkmHAnR6W/HV9QBI2Zx7z7rG1Q6Xdzx8jcZjHQNN4ARPSsS\niXC0r4lNLVt5p/09phTXcMrTCcC5089i0C8tO/z22q/isBZx1+a7Afjdvj8C8PSR51les4Rbl92M\nL+jjv7bfS79/AKvJQjASotTuYsAvRSRYVDkfm2XyaWYDHZK1wT5NU54SL5v8f4MZZBm5a6Nyr6xq\nU2nXHDk05MluA8a4k30lbzInf5Oln+aYztFwK7u9bwIQtg+yp6WJU4O9vND4Gv9y1j8RCIeI2Idw\n+eu5esElPNr4CB2WaIRDE1AERb5aFpefxvveN5gaXkK1S1o7VxSqxGs/xaDPMybvR8Un2Xzy7fhx\nTMED2HJyOwA1xdXUOqsBuOf8u3lw358IRcK0utvp9fWxp/MA9+y4n8WVC+n3DzC3bDaN/U0AcQVv\nceVCHFaHnGI1MDDICkqa8owXikEGGO0nN+hMd8+KkieK4jFgbfTvP404P8bJ32SsrBM4ejK6fi5k\nBUuQX+z7FVgDYIff7vgLQtUCAGaVzOL8BUtZWvc1Dp06yaDfy18bX6DMUs2/XXILDpudg20rmV01\nJf78KlstraZT/On9v3HliHxPDrYlKHjTS+owmUxj/Netql0W/9thdXD7yk8CEI6EeWj/o7zbvosT\nAy2ciG6quPm0G2geOMmD+/7E51beSqWjnBLb5EG5DXRMIYY1U5tcLYnQ0tKL0bJoTYnQmDhjMMKa\npUiGaz3j6VJ3oZJyWDMk69+YqVst9VOF0Zwz5IsWraBjsIf185Zjt9r4zrv/BdYAkbAJkznCqUgj\ndJvAAiunCQBUu8pYF7XUfWDxqoTnLa6bkXC8fKrAyVP78NgkK92ezv1sf/c4Tf0nAGmt3FRnLbXO\nGswmKVj0we7DbGrZygUzzmNe+eykcptNZj6x9EbOnX42P33vlwDML5/DlOIapjprWVq9eIzPOwMD\nRZHtDDkXLlTU9qGSp8/OhFHKneprgNXOXw6GC5UCRF+mPM0peWazmY+uuTB+vNi2DndgiH9e+0F+\n8tajdFsbOMVBCNo4a7b80F7XLl/Lso45PPb37wFwvL+Zpn7JsjanZB7La04bMwgurlqYchixRZXz\nuXbuVbx3ag+fWHpj/FmGgmeQKhk5FzXCmiVHP2P6MJq35Gl8fVWu8sv3tpmpIW/Uc7LGyHX3o4TL\nr6grmaE5JW80d6z/h/jfNyy9jF/sPwaWIFXMosiW3saF+bV1zC9aCbxBqL8S7941mEv6aPbMwbsq\nRHFRYrFEIhF8gRAOe2rFdXR3NeKB02iqClJphJg1UAsNGvJUf6Mp+uLWmBIVZ7Rcar/g1M4/dXJq\n9dRq88lXxt1dm1sx1EbzSt5IltfP5u7yu3i/pZHVM+Zn9Kyrl66l+W9vsG7WacxYegYnTg2yeXcr\nz209hs1iZu3SOkKhMIOeAIeb+/jL5kbWLavjyrWzqatyJn1mMBTm4RdFth84BcCDfzvAPfPOJRSK\n8PaBds5ZVofVYs5IbgMdkFGUoCy8lBQZBNUdWXP25Z5PU5GqI9eSp4wUqmeY920m92HNZJVZsufm\ne5HLIK+UPJDW310krMza82oqilm8ZiZD3iA7xQ7+tu04AM9sOTbm3s27WxnyBvn8Py6Pn+vq82Kx\nmPAHQtz1y20J9w8MBTjS0seb77eydV8buw53Ul9bwsIZ5ayYX5O132BgkBzthTVT/32mw921GjPk\nqd8G5JBLYTXafvKUZG7SoidyLoua5J2SpxROh5VPXX0af3r5EJ19ySNumID9x7oJhsJYLWaOtw/w\n34/swB8IJ9x3+8ZlWC0mfvbEHr7/p/fi53c1dLKrQdrw8bu7LlLstxgUCEZYs+yhQ0Oe6hssDFKi\nYNaHaS6s2UT3FEiZp4B+lbwkA+CqhTWsWljDwaYe7ntiN9ecO5fG1n7eOXiK265ZyuHmXl7d2cIb\nu04ytbKYex97f/hxwAWr6zlryRSEWZWEIxHOXzmN9w53MruulNMX1dLePcSL26VdvKd6hphSmXza\n10DvZOdLU/Y7Xo4rA7nEZ3TUXpOnbvaqELVkaCa0XNzCIjehGmHNcplfnjbOLMmdmnNsGXnFDXmR\nhGocfVzo6FfJm4DFsyu5/87z41/Ct0fPO+wWXt3Zwh//fijh/l98eQMef4jyEnv8nNlk4uNXLOHj\nVyQ+e2qVkz+8IPLA0/s4+7SpLJ5dwZy6MiV/jkHeIn8oUvv9rVlyVjBaqgAtyWIwLgVTTbkLa5ZS\nd57oo1VHA6V+lbxJFnsmm+pYOreKhTPKOdzcR5nTRgS4+VIBu82C3WZJKdsV86oxmaCpfYCm9gGK\nbBZ+9LlzKHEYIc4MomTtiz69gUyR8FGRDBdnG2QBrViK0rQY59jSpdVYxFoja9WSZUNeRmkKCP0q\neWlgtZj56k2n45fhTmU0VWUOvnrj6XT0enhrbxsHmnp4ZUczV58zB7OOvi4MDNRAbrxUeQ/X+dvE\nIDOM5qMMo/ulzsrZUPJk1rjZZEpbwYuxaGYFi2ZWUFFaxIGmHp7e1Ig/EOa0OZUsnl1JMBjGZAKb\nNTXroEGBobYLFQVQf1zV486LUcfqV0ICmteJcyaghtpMWmg7rFnya5MnLxQMJU9Flsyu5IYLF/DY\naw08v62J57c1MX96GUdb+7GYzXzyysXUlBcz4PGzZHZlxsqlgc7QZFgz5bOYEAVf3FpVWsZMv6ut\niKrdBuSQU1/IGm1AeYvhQgUMJU/V+jabTFx+9iycDiubd7fS0NLHkZP9gORY+VfP7o/fu/a0qTgd\nVvYf6+HSs2Zywap6tcQ2UBypUablWiEbL3AjrFlhUGBhzRRZKzphhuSm3aitdGdK3LqW7gNSd4Y8\nfMfkmU1crHle5jLQrZKnJR9S56+czvkrp7P9QDsP/u0gC2eUU2S1sONQR/yebfvb438//KLIktmV\nTDVcsBhMhPZ8Iav/QlNUT9CYEhVjzMtT7bFP7fxlYIQ1y1/GmwbW2seOwhgxtjRU4Wctmcp9X1jP\nF65bwcbz52G3mimyWfjKR1dTW+HAZIJVC2qIRGDr3ja1xTVQCrU3ohZgWDNdrsnTPNreXZu7sGa5\nyUZp0nbqLGezdRpWw6TNpkDKPBV0a8nTai3brJLeXV9TwgNf3kAwFMZmtfC929YRDIUJhiL8y32b\n2NXQycb181SW1kDbaNGUpzbG7lrV9VC185dBTqNR5En7yRvGc5Oms2LWsZKnfUwmU3yHbexvmxXm\nTSvjUHMfL7x9nMvPnqWylAaKYYQ1yx65Khctlb+WZDGYgAKppzTbm2JrjyfYtat2KDlBEIqBR4Ap\nwABwiyiKHaPuuRP4SPTweVEUvyMIggloBg5Hz28VRfFrE+Wl3+naPO5XU6uktXiPvdaALxBSWRqD\nbJO1BeYyB12THFcGcol7PijkNXkaJdae8j6sWY7JuS9krRfIOGjdG/KYJJoo59uBPaIorgf+AHxj\n5EVBEOYBNwHnAGuBSwVBWAHMB3aKonhB9N+ECh7oWcnLY65cOzv+96b3T6ooiYGypPOFm30pCgG1\n9Rp10OWPzj/0Xk1K/f6JolqpPyCcB7wQ/ftvwCWjrp8ALhdFMSSKYgSwAV7gDKBeEITXBEF4XhAE\nYbKMNDddW1npxJoDJ8D9XSWcAIqLbdTWliqeXzaprS3l2XuuVVsMA4UIlxbRDpSWOmS3zbDfT0P0\nb6fTLiu9tcJJC1AiM10qDDhs9AKVVSWUqNDffOYAR4Eih1Wx/t4A2GwWzYwnAz1OTjDcDoJDVhoA\ne5FyZZAKPQ47A0BVlRNHCnLEIoUr0S4n4pgZzBbl67PPYacfqKoqoVgjbUcOnVH/rdU1Lmyl8uUP\nlzqk8c41+XgXH0cqS3BNcm9nkQ03UF3twlY2fG+j2YTFYs5ZWxIE4VbgzlGn24G+6N8DQPnIi6Io\nBoDO6PTsD4H3RFE8JAhCHfBdURQfFwThPKQp3zMnyl9zSl5Pz1BO8vH0SvkMDfnp6BjISZ7Z5o1d\nLTz0ghg//sFn1lFRWkQoHKEoxVi6BtpjYMAb/98ss22GA/743x6ZbdvdJ/UJt9uX9T7h8Uhy9XQP\nMVSS+/4W7B0EwOcNKNbfI5EIgUBIM+OJpyc2xkn1GfZ6APD7gqrK6PMGAOjudmMzyWifCrTLiQiH\nI0RCYcXz9HilvtHd5cZu00bbkYPfFwSgq3MQi1d++pHjnWmSsvZ4pLbT0+PGM8m9w3INYPENnw+H\nIoSyXK8TKYyiKP4W+O3Ic4IgPAnEEpUCvaPTCYLgAH6HpAR+Nnr6XSAYfe5mQRCmC4Jgilr7kqI5\nJS/n5PGOpg2r6vEFwjz6irQG8+nNjRxo6sFiNvH9z6xTf/2TQXpkK6yZ7PpXsr1k6jA1U3KTsZb6\n3Li+kNWWMb70U9tjbyQSyUl9aqnNpEOEDNd6RtOltBY5ek9KZRZf+plsujZV4RRjC3AlsB24Atg0\n8mLUgvcX4FVRFL8/4tK3gC7gB4IgrAROTKTggaHk5T2XnjmT1Qtr+Novt/HWCN95/mDYsOYZGIxG\nScVCq0qLRsUyGI1RUVllnA0+Ggkf9wDwkCAImwE/cCOAIAhfQlr5YQE2AEWCIFwRTfM14HvAI4Ig\nXIVk0fv4ZBkZSl4BUFtRzH986ixau4Z48PkDuL1BhrxBQ8nLW9I35WXDKqBE+CjV9Z9cfbmrbyEY\nRvNhzeTer0JYs5ygpUaTBtkKayZrd22mZaZumYuiOARcn+T8vSMOHeMkv0pOXvrdXZvnJvLRTKsu\n4fRFtZy5ZCoAQ9F1LwY6RvZsbQ76hMr9Tmt6Tk4Y/aNVH/vUzl8GuRRVl41TQcZ1hqyvctavkhej\nwCq8xCEZZ93eoMqSGKSNnHUnCuaf5Ycq8Ew56NKUN+pY7TpIRO60mRIW5klyzE02WmoyGaF8WLOI\nLEPeBA9W/UMnd+hYySvMSnZGlbwhn6HkGWixjastk3Iv7twrIamhOany6gWbO1k12nzylnF9u+us\nnI01eQWGs0iq0rf3tzOlopgSh5VHXjrE0dZ+rjl3DhtW1assoUHKpPN+yasXaA7RZVgztQUwSI0C\nqai0237uw5rpCd0qecNtpLAaQInDBkhK3tv727FbzfiDYQAeekFkwYwK6mtK1BTRYDKy1STlDrpK\nKijZWi+dKXo0l8TDmkWP1VZE8+XdG4kYYc1SQbNhzWKuWTJ5Rv6j4+nawmTe9DLmTiuLH/uDYayW\n4Wr+5m/exus3pnLzA4W+cPWIHovFaAv5QYHUU/pu8tKaskj9Fm2GNcsZ+lXy8iVItkyqyhx885Y1\nXLh6eFr29muXcsc/Lo8fN7Xln1d1PaGWHyfTeLvRsoG8FdP5iWathDFLXnRDj+p1kGY7U8GFSk7L\nSqvNZzKyVS8pOUOW88BxTMaa7afKoNvp2kLnug3zKHXauPTMWTgdVo63Dyt2Ow51cPRkP+tXTsdV\nbJvwOZFIhFA4kmANNDAwMDAwyAv0pdONQcdKnoJWCw3gdNjYuH5e/HjGFBezprg4fmqQl99tBqQd\nuNdtmD/hc3793H72N3bzw8+eg81qOFfOCVnz96m2xWYkMbcw6uSeM4uMpsp8HNQWMe310Cq4UMmJ\n70jls8gNyrtQkeV4eYJ2lg/dNFsY5hmdYDaZ+MqNp1Nb4aCqrAiAoyf7J023bV87/UMB/rq1iZ8/\nvZe+Qd+kaQwMNIsR1sxAsxgVlVWUXH6SR+jYkiehp+p3Oqx8/zPnAPBvv9pGY2s/vkBo3PBnwVA4\n/vczW44BUO60c9OlixSXVd9kEPA7G5+oiqzJy/4jZZGjT3ctBZsfI4vWXnZ5YMjLDdppM2kRyWC8\nkhJKj8lyWLO49T7pY/O8zGWgX0uefuo4KWsW1+L1h9h+oH3MtXcOnqKj18O9f9415prbJ4VL6xnw\nJU1roB1kKxw6CGumurKpBhoLa6YlRXhSjLBm+ct4daezcta9JU9vFR7jzMVTee6tJo609LF+xfT4\n+ZZONw88vTfBv15xkZXzlk/j7++eoK1rCICv/mIrwVCY+lqX4Xcv22SwEzUbL1BlIjfos5+pS2Jb\nUGvX9vhoe3dtrsorn3TeZGRcLbLW5EWTyAhrlrQe873QZaBjS55+KjkZ06qdWC1m3ny/lZ89sZvW\nLjeBYJhjrdI6vZiCB+AssvDRSxYya4qL5o5B3tjVEp/K7ejxqCK/Qb6ibr9T9MWt2Q9GrcmVT2Ov\n4UIlbxnHTZpmu6lCGJY8nWK1mFk6p5L3j3Tx3uFO3jvcyeJZFYTDY3tALA7uzOju3IdeEOPXOnoN\nJU8x8uldqHWMsGYGmqVAKip9b8jKpJnIGbKO0K8lL45+G8Ad163gm7esiR8fPN7Loea+Mfd9dqPk\nSHn+jHIAqsscfOwyAYDmjsEcSKozCjCsWUSO6wMl0eGAH//JmgtrpvG6iOTIhcpwhjnMK5toO6zZ\n2DT5Ws7pYVjydIzZbGLutDKWzqlk37Ge+Plzl9XR0NKHxx/i45cvZuncKgA2rJzO1EontRUOypx2\n/rK5kbf2tnH9hQsmdapsIB/1IxMUEHosSrWVOYPUKJR6SvtnKB3WLNm1AinzFMhIyRMEwQz8HFgJ\n+IBPiaLYMOL6zcD/A/qA34ui+NtM8ssmpnHm6/XIF29YyTd+/Tbt0fV102pKuPXq08bcZzKZWDK7\nMn68bmkdL2w/zslON4tmVoz7fK8/SJHNkl+76lQlS41SbnErGtYsnkn2n60BlNmski0Sw5qpXwfj\nBY6fmJyXca6z03QbmoAchjWTU0bD7xt9L8rLdLp2I+AQRXEdcBdwT+yCIAg1wH8AFwAbgJsEQZiT\nYX4GCmAxm5k7rSx+XF5iTyldXbUTgEMnevnPP7zLoRO9CddbOt28tP04d/5sC/c/tTd/BzEDAwMD\ng/xE5++dTJW884AXAERR3AasGXFtHvC+KIrdoiiGgXeAtRnml0UMb9gjKXUOK3apKnlTK4sBePLN\noxw92c/Pntgdv/bW3la++Zu3efTVBnyBEDsPddAz4KOlY5AjLWPX/Y0kGArz163H6Hf75f+QQiBj\n56Ix0k2voAsV1ay5Otx4MeY3qxtaLs54FpbJyPlYbYQ1k0cuwprJyWoCi7HqnSB3ZKrklSFNxcYI\nCYIQmwI+DCwVBGGqIAhO4GLAcKimURZGN1XYbWbqa10ppZlfX85pc4anb93eIH1uP4ebe3l6U+OY\n+7sHfHzzt9v5r4d34PEF8fqDY+7xB0J863fbeeKNo/z+bwfT/DUGBuOglKKg5Y9FDYtmYKAYacdI\nLiwy3XjRD5SOODaLohgEEEWxRxCEO4EngC5gJ9CZYX7Zw2gACaxZPIVffHkDJhPYrMnDnI3GajHz\n5Q+v4j//8C6NrQMA3PmzzePe//p7LfG/P/fjNzEBX//YGuZNl6aKd4in+M1zB/AFQoAUVUOPZG35\nmsyvVUXXqaq9HMxwoaLB3bWqSjE5kUiOikpDbSYdIjELcXq/w6SYKc9Ydw+ZW/K2AFcCCIKwFtgT\nuxC16J0OrAduABZH7zfQKHabJWUFL4bJZOKum05n5fzqMdcuWDU94fitvW0JxxHg4HFpV29Lp5v7\nn9obV/AAKlypTRsbGKSMli1uSqHH35yPGPWUXcZTOnVWzpkqeU8BXkEQ3gJ+DNwpCMKNgiB8OmbR\nQ7LgvQ7cJ4qidix5UXRW34pgs1qoLC1KOOewW7j+wgX88PZz+OzGZfHztRUO/ueL5/P1j50BQEuH\nG4Dj7QPxey4+fQYAoSSOmXWB2rsgFdldq25dqm28UofxTHlaQetr8nJEvjfOjMOayVgfL8caPcFs\nnZ48PWQ0XRvdUPGZUacPjrj+HeA7meShGDqq5FwQjCpklaVFfHbjMuZNL8NkMlFcZMU7wjpXU16M\n02Flbl0ZNquZrfvamFbtjEfVWD6vmhs/sJBNe04y4Amo8lv0i/J9omB9/2laARktm9p1oHb+cjDC\nmuUv4yiPmu6r2cdwhmyQFT54zhwaT/bziSuXxNfYxaivKWHd0jq27muL+9Mzm03YLGYCwTBPvnmU\nxbMqMAG3XbMUk8lEabGNwSGd7q6NkU/vQs2Tm8LUkoVAQ6IYTEDBVFPaYc2USTPhJm6VC10QhGLg\nEWAKMADcIopix6h7forkwSQ2zXUt4J8s3Wh0HNYsX1b/5ge1FcX8x6fOHqPgxfjU1Uv4ykdXc9lZ\nM+PnAqFw/O+Gln7qa0twOqTvjsoyBz0D/qQ7cAuebPlClh3WLDv5JqfAw5pp2TqgMV/Iwy9fuWWW\nc+/ERlizlMiO3Ck9RVab0fQ7/nZgjyiK64E/AN9Ics8ZwGWiKF4Q/deXYroEdKzkGeQSk8nE4tmV\nOOzDxuN/WD8v/ncwFOa0OVXx44UzyglHIhxp6c+pnNpCbY2ogMjZy1pDdWaY8vKDQqmntH+H/HQp\nLfswxfzkadCUN8LHMPA34JKRF6PRxBYCvxIEYYsgCJ9MJV0yNDddW1npxCpzh2c6DHlKaAKKHTZq\na0snvd8g+9x89VJuvnpp0mufvX41n71+dY4l0gYBl50OoLy8mOo02uah6P/OkiJZbbu/q4QTQHFx\n9vtET5EU27iq2oVDhf4W8tpoAOx2iyL9PRwIcBiwKfT8dBjy9XMMcDis1NaW4jP5aQQcDruqMg4U\nF9GLNNaXpCBHrD0XF+dW7gbAalO+PgeddnqAigonpRppO3Jot0nv69oaFyaL/He3qayYVsCVwnjV\n67DSD1RVl0w6jgw47fF25hpx72HAloN6jSEIwq3AnaNOtzPsY3gAKB91vQT4GXAvYAFeEwThXRJ9\nEydLNwbNKXk9PUM5ycfXI+3q9HgCdHQMTHK3gZKEwmEs5kSj8pA3yB0/fZNIBM5fOY0bLlyA02FT\nScLcMjgo+Qfs6/MQzqBtDg35ZbVtT+9QWulSweeVNtF0d7uxmXLf38I+qUx9vpAi/T0SlJYVBPzK\nPD8d/NExzuuVxrhA92DCsVp4PNJa257uIYZKZLRPBdrlREQiEAwoX5+e6Nrj3h43Xo20HTn4o0tq\nOjoHMZnlTw4O9Esx0wcHvZOWtTc2jnS5sZknvne4nbnxlA7fG4lECGS5XidSGEVR/C3w25HnBEF4\nkmEfw6VA76hkQ8BPRVEcit7/KrCSRN/EydKNQcfTtUZYM60wWsEDcDqsrFpQA8Cb77fy+Z9sorXL\nnWvR1CFrYc0yzD+bj1TdG3IMZfp7fEpI7Z+XwOjpKo3IaIQ1S0TvryKFw5ol33ihdicY9jEMXAFs\nGnV9EbBFEASLIAg2pGnanSmkG4PmLHkGBjE+/4/L2XO0i588LsXE/fqv38ZiNnHbNUtZs3iKytIZ\nGBgYGGiWdD8mcsMDwEOCIGxG2jF7I4AgCF8CGkRRfEYQhIeBbUAA+IMoivsEQWhMlm4idKvkDSvy\nmmwABkibNZbPq2butDKa2gZwOW30u/38/Om9/OD2ddSUF6stojJky5Ane3etgl+3alu6jLBmmgtr\nlnxB/PjkfKTO2e5aDbWZdMh45iF1ZSwiY3AcfsVr7x0fnYa9Psn5e0f8/UPgh6mkmwjdKnkG+YHJ\nZOKbt6wBIBAMc9uPXgfgSEt/4Sp5Bsqh2ICvvRdJHA2LZjASo6KySnx37ajzGlT6lETHa/Ki6Ku+\n8xqb1cxdN50OwJGWvknuzmcKMaxZ9h8pizw3lqSH1sOayaRQX85qW1YzJVovaTsClxXWTMbYONEt\n+V7mMtCvkqejSi4k5k4rxW41c6CpR21RChBjaiptNK1/JAqnfmg5tfPXKIWqxKrGONPAOitn/Sp5\nBnmJzWph0awKWjrd9Az41BZHWYwPkSyixzV5GpLFwGAc0mqmqaSZwEKopfCDSqNjJU/TO28MJmBZ\nNDLG3sYulSVRBrkL0sdF5kCm7GYkld3CxMXQb1gz1Te/xJAzPZdA7sOa6UkZUB05LlQMUkbHSp5B\nvrJiQQ0m4KXtJwiOiH9rYDAeuXtZa0gp0JAoBhNQCIpkRr9BIVNe2h8ThYV+lbw0t/EbqE9dlZPz\nV02npdPNqzua1RZHs8hWbOKDYvZl0YohT5eWgNgYF//t6lZC2gbjnPtCjuS2qPL1XZSxozX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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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\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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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a206dd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df.plot();"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"cols = []\n",
"lags = 5\n",
"for lag in range(1, lags+1):\n",
" col = 'Lag_%d' % lag\n",
" df[col] = df['path'].shift(lag)\n",
" cols.append(col)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"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>path</th>\n",
" <th>Lag_1</th>\n",
" <th>Lag_2</th>\n",
" <th>Lag_3</th>\n",
" <th>Lag_4</th>\n",
" <th>Lag_5</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>100.000000</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>101.320997</td>\n",
" <td>100.000000</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>101.234640</td>\n",
" <td>101.320997</td>\n",
" <td>100.000000</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>102.217132</td>\n",
" <td>101.234640</td>\n",
" <td>101.320997</td>\n",
" <td>100.000000</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>101.889403</td>\n",
" <td>102.217132</td>\n",
" <td>101.234640</td>\n",
" <td>101.320997</td>\n",
" <td>100.000000</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>103.037219</td>\n",
" <td>101.889403</td>\n",
" <td>102.217132</td>\n",
" <td>101.234640</td>\n",
" <td>101.320997</td>\n",
" <td>100.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>104.911359</td>\n",
" <td>103.037219</td>\n",
" <td>101.889403</td>\n",
" <td>102.217132</td>\n",
" <td>101.234640</td>\n",
" <td>101.320997</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>106.103930</td>\n",
" <td>104.911359</td>\n",
" <td>103.037219</td>\n",
" <td>101.889403</td>\n",
" <td>102.217132</td>\n",
" <td>101.234640</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>103.830050</td>\n",
" <td>106.103930</td>\n",
" <td>104.911359</td>\n",
" <td>103.037219</td>\n",
" <td>101.889403</td>\n",
" <td>102.217132</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" path Lag_1 Lag_2 Lag_3 Lag_4 Lag_5\n",
"0 100.000000 NaN NaN NaN NaN NaN\n",
"1 101.320997 100.000000 NaN NaN NaN NaN\n",
"2 101.234640 101.320997 100.000000 NaN NaN NaN\n",
"3 102.217132 101.234640 101.320997 100.000000 NaN NaN\n",
"4 101.889403 102.217132 101.234640 101.320997 100.000000 NaN\n",
"5 103.037219 101.889403 102.217132 101.234640 101.320997 100.000000\n",
"6 104.911359 103.037219 101.889403 102.217132 101.234640 101.320997\n",
"7 106.103930 104.911359 103.037219 101.889403 102.217132 101.234640\n",
"8 103.830050 106.103930 104.911359 103.037219 101.889403 102.217132"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head(9)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df.dropna(inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"reg = np.linalg.lstsq(df[cols], df['path'])[0]"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.98405192, 0.10048256, -0.00633048, -0.19898919, 0.12250492])"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"reg"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df['Pred'] = np.dot(df[cols], reg)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
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0WceVf5JxqmC+qdpGf2SAqsKK026Mej6Z107zXq93D7AJYHLW60der/dTkzVc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\nM8EFANBMcAEANHsCvMypiZ9GqtQAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119beb668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df[['path', 'Pred']].plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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/oOeVxHkhhIhPKBxm7xEHKQYde7YsbFdhukA4yInhBrJNWZRnxL4duRJEs7hW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"text/plain": [
"<matplotlib.figure.Figure at 0x119beb438>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df[['path', 'Pred']].iloc[-30:].plot(figsize=(10, 6));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Real Financial Data"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df = pd.DataFrame(data['Mid'])"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df.columns = ['path']"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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"<style>\n",
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"<table border=\"1\" class=\"dataframe\">\n",
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" <th></th>\n",
" <th>path</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2014-03-15</th>\n",
" <td>1.390880</td>\n",
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" <tr>\n",
" <th>2014-03-16</th>\n",
" <td>1.392195</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-17</th>\n",
" <td>1.393380</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-18</th>\n",
" <td>1.383295</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-19</th>\n",
" <td>1.377825</td>\n",
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"</table>\n",
"</div>"
],
"text/plain": [
" path\n",
"Date \n",
"2014-03-15 1.390880\n",
"2014-03-16 1.392195\n",
"2014-03-17 1.393380\n",
"2014-03-18 1.383295\n",
"2014-03-19 1.377825"
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"cols = []\n",
"lags = 15\n",
"for lag in range(1, lags+1):\n",
" col = 'Lag_%d' % lag\n",
" df[col] = df['path'].shift(lag)\n",
" cols.append(col)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"data": {
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" <th>Lag_3</th>\n",
" <th>Lag_4</th>\n",
" <th>Lag_5</th>\n",
" <th>Lag_6</th>\n",
" <th>Lag_7</th>\n",
" <th>Lag_8</th>\n",
" <th>Lag_9</th>\n",
" <th>Lag_10</th>\n",
" <th>Lag_11</th>\n",
" <th>Lag_12</th>\n",
" <th>Lag_13</th>\n",
" <th>Lag_14</th>\n",
" <th>Lag_15</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",
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" <th>2014-03-15</th>\n",
" <td>1.390880</td>\n",
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" <td>NaN</td>\n",
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" <td>NaN</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-16</th>\n",
" <td>1.392195</td>\n",
" <td>1.390880</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-17</th>\n",
" <td>1.393380</td>\n",
" <td>1.392195</td>\n",
" <td>1.390880</td>\n",
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" <td>NaN</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <th>2014-03-18</th>\n",
" <td>1.383295</td>\n",
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" <td>NaN</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-19</th>\n",
" <td>1.377825</td>\n",
" <td>1.383295</td>\n",
" <td>1.393380</td>\n",
" <td>1.392195</td>\n",
" <td>1.390880</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-20</th>\n",
" <td>1.379470</td>\n",
" <td>1.377825</td>\n",
" <td>1.383295</td>\n",
" <td>1.393380</td>\n",
" <td>1.392195</td>\n",
" <td>1.390880</td>\n",
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" <td>NaN</td>\n",
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" <th>2014-03-22</th>\n",
" <td>1.379750</td>\n",
" <td>1.379470</td>\n",
" <td>1.377825</td>\n",
" <td>1.383295</td>\n",
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" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <tr>\n",
" <th>2014-03-23</th>\n",
" <td>1.383900</td>\n",
" <td>1.379750</td>\n",
" <td>1.379470</td>\n",
" <td>1.377825</td>\n",
" <td>1.383295</td>\n",
" <td>1.393380</td>\n",
" <td>1.392195</td>\n",
" <td>1.390880</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-03-24</th>\n",
" <td>1.382670</td>\n",
" <td>1.383900</td>\n",
" <td>1.379750</td>\n",
" <td>1.379470</td>\n",
" <td>1.377825</td>\n",
" <td>1.383295</td>\n",
" <td>1.393380</td>\n",
" <td>1.392195</td>\n",
" <td>1.39088</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" path Lag_1 Lag_2 Lag_3 Lag_4 Lag_5 \\\n",
"Date \n",
"2014-03-15 1.390880 NaN NaN NaN NaN NaN \n",
"2014-03-16 1.392195 1.390880 NaN NaN NaN NaN \n",
"2014-03-17 1.393380 1.392195 1.390880 NaN NaN NaN \n",
"2014-03-18 1.383295 1.393380 1.392195 1.390880 NaN NaN \n",
"2014-03-19 1.377825 1.383295 1.393380 1.392195 1.390880 NaN \n",
"2014-03-20 1.379470 1.377825 1.383295 1.393380 1.392195 1.390880 \n",
"2014-03-22 1.379750 1.379470 1.377825 1.383295 1.393380 1.392195 \n",
"2014-03-23 1.383900 1.379750 1.379470 1.377825 1.383295 1.393380 \n",
"2014-03-24 1.382670 1.383900 1.379750 1.379470 1.377825 1.383295 \n",
"\n",
" Lag_6 Lag_7 Lag_8 Lag_9 Lag_10 Lag_11 Lag_12 \\\n",
"Date \n",
"2014-03-15 NaN NaN NaN NaN NaN NaN NaN \n",
"2014-03-16 NaN NaN NaN NaN NaN NaN NaN \n",
"2014-03-17 NaN NaN NaN NaN NaN NaN NaN \n",
"2014-03-18 NaN NaN NaN NaN NaN NaN NaN \n",
"2014-03-19 NaN NaN NaN NaN NaN NaN NaN \n",
"2014-03-20 NaN NaN NaN NaN NaN NaN NaN \n",
"2014-03-22 1.390880 NaN NaN NaN NaN NaN NaN \n",
"2014-03-23 1.392195 1.390880 NaN NaN NaN NaN NaN \n",
"2014-03-24 1.393380 1.392195 1.39088 NaN NaN NaN NaN \n",
"\n",
" Lag_13 Lag_14 Lag_15 \n",
"Date \n",
"2014-03-15 NaN NaN NaN \n",
"2014-03-16 NaN NaN NaN \n",
"2014-03-17 NaN NaN NaN \n",
"2014-03-18 NaN NaN NaN \n",
"2014-03-19 NaN NaN NaN \n",
"2014-03-20 NaN NaN NaN \n",
"2014-03-22 NaN NaN NaN \n",
"2014-03-23 NaN NaN NaN \n",
"2014-03-24 NaN NaN NaN "
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head(9)"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df.dropna(inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"reg = np.linalg.lstsq(df[cols], df['path'])[0]"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.97598382, 0.03137281, -0.04484821, 0.04270276, -0.00554608,\n",
" 0.03255163, -0.05976396, 0.00788299, -0.01158404, 0.09053766,\n",
" -0.08261789, -0.03855312, 0.13704409, -0.06949812, -0.00593118])"
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"reg"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df['Pred'] = np.dot(df[cols], reg)"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"data": {
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g98DthmE8D9jAVYN1CYr85fPofP5fFvPjF58DQCvNJEtWZxlqSWbcVEzvPR/W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\nv1dPv5/tk9ezp+SJ9LHbn18LlfsBuGT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YfNdOrI9T42xA782GYibDS1Km2/lHzcGWCT93\nMYlkvJr9vX/rl9Xxw2veiqfLzvcYqJFzen7UlQd4Vc0b+cja97OgfOzh87EyvyHAZ899Kx9Y+04u\nWHjusI6pCrjRk3aIONeDkGi35/u+yItsPbItL2H9tufv5kD3oczrtmgbmp5kVlkjXreD8mTWc+rW\nvEPmPRWbdK22rsjgKz/jiST7Q7vzCuqOtIisMDrSIdtyZwVXLBtZP08QcSUIGdypUFZwnMVVMmmR\n0GxP0FDi6uoLV2SqXOeuqkqHg9wOJ9887+N87axPFmy+mybgzc+5SrNt92H0smyBz0JP0uHAHtxL\nn+ZXO/v3JOwNR9CMBF6Hh4bo2sz24dZBKiblhu2NONrTt/3v9CKW890WQtc1vHr6x7lwzk44nhbv\nLi7dsI5lNYvGYaSjQ9d0VtWoYec1GrpOlS+/0Onmxg1Ykezxzze/jO7PzuP7m/7JN5/4n8zr5qjt\n1VpUYdf0euer1qNF7JD7ufPPnFCvFWRbdXWGBxdXLR2hTKuVRJedo9g9jDwtYeykPcjnLzp7VI3g\nRVwJQopKl+35aOkd3/ozkVgis9LPPYS48rgMiNo/pLl1caJx+wc43b5nKAI+V0Fx5Vq8I++puD3S\nkfe+ZVloLjtM+njLE/2O704lwfscPvxG9gewbAKq3Pel3FOGFXNhthzgv//2LxKJ8S+pMR6kE/LT\nLYQKkW5Z0xEu/EObXuI/0kUBU5WGivK8UiJvWHYJJ5+YXSm5o2VXnrjKpbUzTFvCFlfp5PmVC6u5\n4bxPcN3GD3Ph4leM38AHoDzV9umx5sf598HHB9yvqS2I5g6ioWH12gtaOgcQ1EJxCSdTZWWM0XWy\nEHElCCnqffZKvSNdx8f1PNFYdqXfUJ4rTdNwW/Zy8TzPVfoHeJg/nn1XC/Yl0Wnb3rfidSSWyOa7\nFCBd0NLv8uF3Zou4FmpRM96UeZwkQ2UkHSFe8v6dm5/5E/fv3s53tv0o081+OpBudzRYeYHylLhq\nCxUOC6bFt9sx8ifuqUhjpT+TE1mml+N1eFjbqDLva64wmpEg0dm/TEFTexDNYwuU3AKhXqeHBeVz\nh5WAXmyqfdlr5daX+jeRTtPWFUF3hygzAtR77LG/ePzlcR+fALFk2vs7juJKKbVZKfWvAd7zKaUe\nVkotT73WlVI/VEptVUr9Syk1eDEIQZgizKmwV2K1jHPl5EgskaljNJwfP69mi6tcz1U8YR8/fHGV\nzblaUbUsrzkuQKLFDpf0LegYDMfRjGzCet9k2sOphOqFFXPwubK2DBaiHC/KPI68Qo47Op7ltgO3\nsrtrD8+3mWP67JeajvHpB77GU83PjXWYQ5KuMD9YaY0Kj/3j3BxsLZjgHEnOLHFVX+VFc9h/lwUB\nu0L2xoZ1XLfhIyzyZGtTxfavzDvu5aMddPVG0RxRXJpnwsN/A9FYNbx+jp09EXBGCTgDnDzXtu3u\ng/eK92oc2NOxjzv3/hPLsrAsi1gqL3Y4fTwLMeRMU0pdB/wE6HcGpdRG4EEgt1DJpYDHNM0twKeB\nb49qZIIwwVT5fVhRF92x0beCGQ6RWLYA6FCeK7CFipVw5CW0p/vnDVdced1GxnNl6DpWNP+88yvs\n5OA7996bl7geisTz+miFE9mVlMFwjOMxu6npCdULWJtTyHW0N6Sx4Pc6SYayRSEj4ezt7XhP4ZDR\ncLnhH3fQnejkJzt+OabPGQ7pXpKDhXyXzqol2VPOweA+rr3/U/Sk2hl1BaPcuWM7u5rtZG7PAHlb\n0426qmyYeVWd/byuaRoLKuZwxYkXsKB8Hp87+WN88MJTWB1Yn9n32y98nZaeTjRnDK/Rvw3UZJFr\nDwxcY6491I2mWQRcAc5dewKJjlqSJGjqPVZwf2F0HG3t5cbt3+eOvXdzLNiSegAe3orugRiOjN8D\nvG6A99zAZcCLOdtOB/4BYJrmo8DGUY1MECYYp0PHiruIJEdeiuFQSw833LaVQ21De73sCzclroyh\nL9yGKh9W2MuR3iaaepvtp6ohkp77omlaRlwlrCQk8o/rbPVgRd2EE2E6ItlaOr3hGEZ1U+Z1bk/C\nY+0htFSNrHpfLasWVvPmxVfyxqWXTYqHYMWCKhItczK9JnNLTOxrbxrosGGRW8bitpdu52c7fj2m\nzxuMxDDCgqesbERZ2Vyhg92HOd4Z4uM3/4U7mm/FteRZINU6ZgawoCErmpdWL8x7b15gNtdt/BCz\n/Y2sX1bP+ze9iQVsyLz/zPFn0Bwx/JPgTR2I+sp8cXXnU88X9ECmc+qqPOX4PA6M1IpcWTFYPCzL\n4kd/2Zl5HUvGCEWy0QWvMbr80SErtJum+Qel1MIB3nsYQCmVu7kcyH30TyilHKZpDtpNtarKh8Mx\nuorBdXWBoXeaQZSSvRNpa11zL5bpJEYP1TW+EVWwvub6f+I9+W6+82wZ/98bvjXovofbQ2h6Ah0D\nXdeHtPHaK07iU7/ZQQfb+euuf7NjayXR+VvRgapy/7D/Ru9c/2b+fvAvvPvkN/GVbTs58uS5eDfc\nC8AlZ57Ar55txNG4H3dAo64qwAt72/ijeQ+5OunRI8/yqpWbmFcxm11HutGcEQwczGusQ9M0Lqsb\nuu/WeH2ndXUBPv7mzXz71w7cKx9B92dFYmu0dWzntbJ/hPsPPgTAJ2vfM6SIHM05E1YCHairKh/0\n+K9c8ype983duBbvIGT00BlOoPnyi0wurJs1IdfQeJ+jri7Af7o/xpHew6xbtGzI/b9x+VV84Ptl\ndNQ/SJN3GwAet6No4xzr59QB6594LdsTtwPwr57fE955lI+d8xbA9hjf9Ofn2K0/iA7Mra2lri6A\ny3ATBVw+bUZ8r1OB5/e2crCzOROa8/h13EkXWkpczW2spdw9vDBuLuPR/qYLyP1G9KGEFUB7++gK\n/9XVBWhpKZ34cynZO9G2BoMRiNs5KvuPNhNwFb6gesMxQpE4tRX2E01TWxA9YIedwsneIcfc3NID\nRhwHtmdiODaeNf9k/tyxneeO7CEcqMDpsxPJY+HksP9GG+cuZuPcj0IUPnL5Gu7bfog1a5ZQV1ZN\nrbeaW5+xvWiHmlvwxyv50k+3klj+bJ64uuvAP7jrwD/49plf4bmXmtGcEXxGGcePD76kPM14f6er\n5lXwubdv4IbHsisbraRGa+j42M5boG7j/qPN+J3ZUFM6V0NPeYtGY6tlWSSIowO93bEhjy83qgkD\ne1sOU95Zh+a1vwefHuDyhZez0r903K+hibpOZ7kameVqHPa5GpzzaI+60Vy2l6c93FGUcRbL3ovW\nrGfrr4/hXvkYAI82P8Tfn5vHpsaT2PZiM/985gU8a20/RSQUp6WlG6dmi6uW9g5aymbG9zrZbH3u\nKI7ZezKvjx5vwxfxZTxXvR0xInrhv8Ng4nM8xNXDwMXA75RSpwDjnwEqCEXA5dAzjZJ7Y8EBxdVn\nfnE3PR0ufvyJc3EYOi8eaEcvyzprLcsadAVSbziOZsRx6cN3Ny+oq8JqKiPu7MCoyoYERtsfrq7S\nyxWvyK+Q7XV4CZGt8xXUWvE4U1XhY25wZs/72ye28uCTPXjWRQi4xtY0u9h4XI5MCLTcqKK9C0KB\ndmKJ2JANfgdE71/WoSfag9fw8uz+IyTi8PdHD9FU93fOmr+JK1ZePKrTxBPJzErS4eTT+fVKwkBL\nqJVoRxjd141Dc3D9mZ+d0N6BU5FTV81iz/ZlxBvtn6Arl79+kkeUT2WZGy2S/+O8/ehONjWeRE8o\nhl6ZXbW8seEkANyGi14mpotEqdDa041Rm+15GYqHifZE0BwxDByDthUbjBEfpZS6EvCbpvnjAXb5\nE/BKpdQj2MuTrh7VyARhgnH2EVeF2HZgF4mlD+Bqr6c3dCYVfjehcBzNlS08GoqHBi2i2ROKgSOG\nxyjQuHgAvG4HVtSN7u1Fc2SfoiLx6CBHjQy/y0cI6Ar3EIrEMxWvr1r5Zm79x0HC8x/K7Pv0kV24\nVx4EoNwzdXJZALwuAy0lBOvLamg7GobydlrD7TSW1Y/qMzW9f3X67mgvDz7ezQPWj7GSOtHgGtyu\nMA82/XvE4ippWSQSFtF4Ei0l5IZTwyzg9tESd9ASPE68K4hW3k2jb3bJCyuAjcvr2bj8bYTjEVyG\nc8qsFEzjdhl85erTuXe3k+c7d9JhHOB4yPaA94Ri6F77Ov/cyR+jLlUmxpOquRSMibgqFh3hTrQy\n7DxUI0Y4EaG3w84n9TvKhzx+IIYlrkzT3Aeckvr/LQXePzvn/0ngfaMekSBMEk6HkQkL9g6weuem\nu7bhWAJGVTPdwSgVfjfBSBzNnb3ZdUd7BhVXXaEQmp4cdoVqAJ/b0S8JfbBxjoYKj58WoLW3m7se\nP4Bznl2+YG5gNlo8v/ZXtGp3ppnOqxeNvA/geOLJEVc1vgqI22KlO9ozInH1hwde4p62P3LFSedk\nFiAAEKwAXyc9sV4eeb4VVoCmJ/GfYJJeV5lM2uc81NzNfQceYXadhy2zN9krPwt4Nn97727ueepl\nPvuWkzOeq+GIK7/XhRXxcTzUhhVrRdMt5g3QFLtUGe1qr4mgsdrHW04+h8eeX8kvDv4vnbqdM9cb\njqH7ujA0gwZftq2UN9USqScq4mospK/Bzp4Izx/bg2sxuBIBokYbh9s6uPfxZjyrY9R4hv8A3Jep\nJeUFYRLpGxYsRG7R738ffQRI1YJy5YirIQRPV9h+fyS1oHweR2ZsQOb/ow5zFSDdYqQ91M0dz23L\nVG6v99Zyusq2T7ESWa/I9ad/nhMqp05rFbA9Asleu3r3ksqFOC1bxHbHhpcXlubvT72AUdHKbS/f\nlue58kXsmmDtoU6SRtZjGdOy///R078B4OcPPMpjXffypz1/42+776M7GOVLt97HJ+6+Ia8H4j1P\n78G74V5+u/v3mRDkcMRVVcBNMuwjbsXp1uwVkTXe/oU0halNQ7UXK+ohlOjGsix6QlE0Xw91nro8\nL6TPaQvFYHT8+5/ORB7ZeYR3/egWrr/lSSzL4qu/fhTX4h0AeLHvGU+9fBTPavverhujb5It4koQ\nUrhSpRgAeuOFxZU/Jw1ra+sDWJZle65yxNVANWvSdEftz/a7h++58rjzxdUbZ72LE/2bePUwm98O\nh4YyO/RwPNSKL2CLiZNq12HoBq89fQmqfAVryjdmeroZlisvoXuqYOg6672v5CT3Kzl11sm4NVvE\npqvJj+5D7eTWldWK5TV2nSXz2BGSRvZ7v2Txa4gdtPPYdnQ8QzKZpD2YnQvPNe3hpjuep8nzBCFH\nCzdt/33mvXQI6Eh8d0bIDSfn6lWb5uMO2TXKegN2RZx03zph+tBQ5SMZ9pHUErx0/CCP7N6NpieZ\n68/3Qpa57GtPwoKj4+anbse99GkOzfodn7nnf+iqeirzXiCVppF++AXY1Lhu1Ocaj4R2QZiW2GHB\nwT1XlpZd+JogzrX3f4pG6zQ0Zzb3Kd3wcyB6UuIq3V9sOOiaBsns5Xr2iYs4m+J6jBrKK7HanLRr\nbViafRM/qWFV5vwf3ng1h5p7eOqg3X6j3BWYlNYhw+E9F2Zvih7DR5iRi6vcElHpBQtvWXE55v4O\nth+yq6NHrHJcwDLnJl618CxoWcQf93dhVB/jpba9uN0W6WUAHclmjh/qQFtqz6HDwcN0BHuo8Jah\nebM3dM1nrwobjmezKuDmzIXruT/+dCY0HXDN/OXzMw2v24G7Zy6Jmib+uPN+nHPt5uNLqhbk7Te3\nuhLruM6x3vFt0TVT0X3ZfNVux2EcOWtx6n21HAyTyTVdXLGAU2efPPpzjfpIQZhh5Ce0F/Y+RVMt\nEeItczLbjpXZS6m1pH1sKDH4U2VnyP5sv2uEieCpisGGNj7JytXlHpKhMnqTHcRINS3tU2m93O9C\nS1Vsnx2o6/cZUxGnZduw88iBER3n82Zvj3qq9IXbcFFTVoEVd9AZa0dz20L57OUrAJhdU0b8uD03\nHjv4TKYJM0BSi2EteQS9zM6r0Rwx/vvJn3KotRM9pz6V7gky3z9/2AnY82qr8iruD7TKVZjaNDgX\nYUXdHEzuxKhqQU+6OXX2prx9Ni1vxOqtoDvZSnCAB0ChMLF4Ais2cDuopZWLsSI+9NSDzgmVi8e0\nCELElSCkcBjagJ6rB54+xAtHjpLAFlf1WrbjU7qwsitud63vjRa+6bV2hrnmv+4mNGcrANXuyhGN\nz4raImFl9fIh9hwdVX43VjCApVngtyvNex35oUu/10lZ54l4E7VcuWJqLW0fiAMHLayom/2RXSPy\nXpX788NyDpx4DA8BnwsrXEZY68Sosj0MiysW2seUuUh22eHVO3bdQ9Cfqp8Tsb2URqoe2qnV52Al\nDFpih/nnru3o5a1551pUOYfhMqvGRzKnp2K5iKtpybnr5+FrzXpcT527rl8ZAL/XiS82CzT4xfO/\nLVjVvVRo6wqzr234bYB6w/F+4mpO2Sy26G/nrQ0fZUFNHVYw6/XNbfI9GiQsKAgpNE3DqdkegKbO\nzsyKkqOtvfxm768x2lrRvbYf+UMXbea/HnmOkN6eycfxWVVEaKE7Ulhc7T7ciVF3KPN6XvncEY3v\nk+ddxvbW7Vy2eugq6KMhUOaC3irgIEa5La58fTxXuqbxrbdeOmQtr6nE5hWz2N5mV59vC7cP27Pj\nceXb5zPK0DTN7mHYU4nD34nm76TWmJP5zNoKL26Hi0RXFUZ5O5rfDjHooWqS7qw39JJVZ/L4LT3E\n5z3BC20mui8/lFznG35S+tx6P43GIpqT7QQclVS6K4Z9rDB1OGVlI6esfD3xxCVsa36aNbWrCu63\nxHUSz3YdZQcvcKD7EAvK503wSCefZNLiS3f+mnidyX+c9F6WVi0Z8pjecP9a5ifVn8jbT95CS0s3\nScuiNriO9uq7AGj0ja5sSxrxXAlCDi6HEyvmoil6kL899yQA4WgCo8L2LOh+O/fG4/Bwmiffc+PX\n7ITIngE8Vy0dIfScfnd13poRjW3ZvCretO5c3MbAru2xoGsafiv/huJxFE66ny7CCuCqC5ZnwmZd\n0eFXnE5Y+YVDe5P2sV63g0SHHRJNtDXwlqVvzuzj8zj42rs2c0HDpXnHnj5/PRU9q6gx5nD1yrfg\nd5ZRrtnff69vr/1Z7dkwa41n+OJK1zS+ePEV/PdZX+f6sz496qKHwtTAYTg4ZdbGAUu1rF1cTyIV\nej7YfbjgPjOdl492Ea+zS8W81PHysI4JhmOZGnJXLLuUK9XrOX9htj+nrml84cpzqNTte2DDKGvi\npZGrUBByWDy7nJ1HFuNa8CKPdzzIRWwkV0ek8418Di8NlQGsowZaqgZSudMWV719EtqTVpL7Dz7E\nwU53Rpx9acunp1xRQ4AqTxVHYq5Mgn5fz9V0xO0y0JO2HSMRV0nL/l6N9oXEfE1cvuLVgH0TTnbV\nEtr+Cv7vQ+fideeHD6vLPayY08hdzwTQUy1KNpwwmys2npa3X4W7ktaknrnhx5vnYVTZ5RmqPSML\nGQO4nFI4tBTYvLKBP22rJQS83H6I04cfQZ4xPPVSNhwYjMQG2TNLbzgOmn2tLataQmOBsJ/TofP5\nMz5MOB4e80OsiCtByOF9l6zio//bAQteJJZKXtfI99KUOwM4dAflPhdW3JkRV1WuaohBMEdcJZJJ\nvnHnnzjqfQyHXoHm7WZBYB61U7QW0drFtRw8VIuj7ggOXEWtozWZOC0vSaAr0sPuQ53saz3GuWuW\nDuqBS6TE1avWKtYE3sb8hmw+httlEIm6+gmrNDUVHqyID1LiylWgZlWFz40VKkNL7bO2YRkt7R7m\nLYxT75seiwWEicdh6KydP59HgdZgx2QPZ0LZ3XyM217+Pe1HZ0NKG7X0DO9vEArHMwV6HYPUkHMb\nrqJEB0RcCUIOHpeDd75mBT/dex8xj/1ElOyTNFrltb0KPo/TToBPLYGvK6sk2eSlRTtGIpnA0A3+\n9sh+DkV3Y3gh7uxEAxZWzJ9Qm0bCxact4hXRd/P7F+7mrAUbJ3s4RcOFXY6hK9rNN26/H8+Jj3D8\nxdN404pLBjwmHRb0uZx5wgrgxg+e1m9e5BLwuvKSZwvVrAr4XCTbyjLerQ+9bj2wfgRWCaVKhdsL\n0Wwf0KlCNJbg81u/wYKKObx/bfE73333X38mWXsAGrIrf9vDXYMckaU3HBtRgd6xMvXiEoIwybic\nBiQM4umyC4n83JuqVMKwXTU99QNqaSysryLZWUfMirK/205cNw+15y2zB6gdQ0uFiaDMVcZVay9j\nUeXMSZT1pAqJdkW7M6UQ/n304UFXWyVSLWz0An36vG4HZZ6Bb9AuZ7YgLYCrwJNwbYUHK1VJ3qNP\nrf6MwtSmzOvGijumXAPnPzy4m+54FztaX+Azf/wNNz12B0mrf9Pz0RIJ9ZcsXbHhiatgOJ7Tt3P8\n/UoirgShD26nDkmDeKpTXDzRx3OVKqHgy6marmkac+rKMtXL03WyjvW0ojnzcwL8slR+wnEbXixL\ns3OuclrZHOltGvCYJKmcq1HUFdM0Ld9zpfcXV2efNIcr1pzHrOQq3qQuG/E5hNKlzOvASjiIsCif\nwwAAHPZJREFUDFFTbyJIJBPEkvZKvJeOZEuKdFU+xdO9D7K3c2T15QYimbTye3wCyaCf7mQr4Xhk\ngKOy9OaEBUVcCcIk4HYZWAkHFkkSyQSJPp6rSk/Wc5VupuzAidftwJn6EY3EI8TiSbq0o/0+P+AU\ncTXReF1OiLl4uXMfznm7MtufO/78gMdkEtpHWbTVimULexbyXDkMnXPXL+A/z3sHm2atHdU5hNKk\nLJWSELWGFhU/vnsrX3/wx4TGIYTY3h3hY/d8g08++AUAaqr6XysHug/12zYSuoNRvnjzo9z7zMto\njmwnjAsWnEeysw40i/1dB4f8nGA4lklon4gVtSKuBKEPbqcBSfsmEUlEB/RcOQw9c7GmY/jpfyPJ\nKO09EbQyO9kyN/rkl95vE47baWTEjpbz9Luvc+AbfzqcYYx2VWcy+0MznD6BgjBcfB7bcxUnOmjY\nLZm0eCp+F4fju7n+wZ8XfRx3PrqfuLOLWDJGa3dPxtufy8vtYxNXj7/QzNGyR/hT648zrWnev+Zq\nXrP4PFyWnQs5nFXAwYgdFnTojgkpJSPiShD64HYaWIm0uIr0z7nKXSafcjN7U93q3WnPVSJKd28U\nzWU/WVrB8swhU7HZ8UzH6zYKtr7Y03aQL97/A/7vqf4/PIl0WLBAztVwuGTjRggFeLt689A7C8II\nSHuuYPCk9mAkWzjzOPs43NPfkz4WjJxL46tP3EBv1A5TOjUXp2hX2ucNto/pHM0dvThqmtB0K9Oa\nZmWNQtd0vEY6DWPgVkCWZfHykS66QzHQExOSzA6yWlAQ+uHq57kqnNAOQE811DSxoXGNfayRDQt2\nx2NojigaOsmeykwiteRcTTznbZzHtvvzk8YTXVUEy9sJ0kVLO/2qzqc9Ao5RhgWvuXAdF7cMXTla\nEEZKdcCNnrCFxfZjz3Lm3C0F9+sNx+yHCo8tPo6HWpnjn1W0cXTHeiGlVaKEePlYK+5KuGDhORit\nNVjtxogbpvflQGcT5DzP+h3+TI1Ar+GlF+gZoBcswPP72/nuv3+P5unFYSQmJN8KxHMlCP1wO3Ws\nhH0BRvuEBTU0KtxZL9Q33/BmrlFXc/Hi8wHwOGwPVigeoSsYBWcUj+7jcxe8CW+snlfUvXrCLm4h\ny6JZ5VywYVnm9ftWvhcrlC9ye+P5T78WqbDgKD1XgjBeuJwGa8vtps6PHX5mwP2C4XgmLxQoSi/C\ntq4w11x/H3/buo+n9+ZXiHcru6uFx+Gh0u/GirnpiB/PJLyPhmDcFk5nzD6VzQ2b+I8N7828V+a0\nH5i6IwOLq2NtQZxz9uCoaQJ3iHJXYMB9i4mIK0Hog8PQ0ZI5YcFk1nPlM/x5ldUr/W42zFmR2ZYW\nV8FohO5gFM0RxWf4mF9Vy7fO/wSvP/GcCbREyOXcRVuo8VTxjpVvYnXDYvR4vrhqC+eHL5IpcaWP\n0nMlCOPJ6rnzSIZ9HA4eHlA02bWdssImnBg6AX4otu9qAT3OHx5+gYi7ueA+LsNJRZkLTU9gYfHL\nnb8f9fkiSXvMDWW1vH3VG/IaKgfctrjqDA8srnIfjldVr+B9a64a9VhGgogrQeiDpmkYWioxPREl\nkXNx+h3lAx0GgM9pt1kJxcJ0BENoRkIS2KcI5a4AXz71M5zcuB5N06gw8uuNtYX6iKuxJrQLwjiy\nsDFAsrecmBWhI9JZcJ9gOI5mFFdcGYaOe9VWvOvvxzl3Fzo6Vk/+tdQT66XC78rknD7Z8hRgJ9j3\nTbMYiM7eKE+aLXSHbY+yx3D326fcbT8g9UR7SVrJgnW/uoL2GKpdtbx/7VX5ObPjiNw1BKEADrLi\nKvdmEHAM7lJOJ7aHYhEOtR0HoNo7uCATJocaX0Xe61zPlWVZ2bCgeK6EKUh1uQcrOnDPzHA0zgPP\nHEZzZQVHOFYEcaVrmcRyzUjyRnUJcxLrwdI5b/5ZLKlYxJZZm6it8JDozG9Of+Pvn+IDt9zE8WDb\noOcIhuN84v8e5kdbb4f5dtjTW6DPabnHixVzsr/nAB/98/e57oEv0dRr9x3ctusoRzvb6ArbOV91\nnroJbTgvyR+CUACH5iRBVlxZSQ1NtzipavCWMGUuDyTsnKsD3YehBhZUlGBn1WlAvb+afTmv28LZ\nHmVJy8qU2ZCcK2Eq4nU7MAZoSN4TivGlW++jp2Erek4R42Bs7EVHI7H8Qp6nzd7M6ZdqxBPn4nTk\nS4prN7yDH+y+Ec3SSVpJzO6duBbv4cbt3+frp//ngOdo6w6TdHXjmW9mtnkKiKsVC6q5/R8KbfEO\nkhV2sdK/7LqPs2su4Kcv/gz9UCdLIheCEyrcE7uQSDxXglCAdDHQUCxMPJ5E0y2MUC1nLj1x0OMq\nfV6shEFHpJOYy/6xnhcQcTUV6dty5v5DD3H9QzdhWZYdCtbscLCEBYWpis+wUw66Ivni6sPfu4/g\ngnvRU6sEnUlbWARjYWLxfHE0XCLRBNf/6knufyq/YKeu6Wia1k9YASxpqMVqb8TSkvzgmZszpWs6\no4O3rAmG42je/FWGhTxXS+aUc9rcTdSF1xHAbna+o/05jrZ3ovvtUGlHwo4gVHpFXAnCpJNuV3LX\nk3szK11mV/vRh3ArV5d7SQYDdCXa0D32zaHeVzu+gxVGxZZVjf22HYy+xONHnuHR54+hZcSVeK6E\nqUm628MT+3fz0Xu+xv8++XNCkTjOhTsz+3xo3btR8fMA2HXkOB/6w/f4wZO3jLjn3wsH2nmpuYmO\nxX8e9jFet4NVgQ0kQ2U83/YiRlW23VQskV9wNGlZHO+wa3YFw/FM6DFNoZwrTdO46oIVfPHCK/nS\n6R8jdngxSeIcCWcLl7Zh/7/aO7E9XUVcCUIBkqkior2VO+hM2PkBw2mZUF3utpvxahZ6hd1nS9rd\nTE3mNwR4/5qreefqt3LhvFdntv/lpXu4+c4XcDTuByQsKExdqlNN4Hf17CRqdPJi5ws89Pxeu+xA\nisayenwO28PVEm7GqDvMjs6nOR4aPO+pLweaujHqD5L7fPmOlUMXyH33OadT130yAEZF9px37HqA\nRDLrRfvXU4e57oeP8J17/s6RniY0Tx9x5fAOeh63y8Ads71Xh4LZfoZWxREAVlQvHXKsxUTElSAU\nIBnPXhpNSbsXnWMYP7LV5R6SvXYCu2YkcODCKa1Ppiyra1ewvn4Nr1l6Dl/f/FUSbY10JluoXpoN\nfRQKRwjCVGBBZSPJnnI0R3ZF4J/2/jVvn4DTj9/lxbLIEyzhAivrcrEsi4/++lY+eN91HA+1sudo\nJ0bVscz7Z8w6nZMbTxpyjC6nwZYlqt/2fx69m23Hns68PtoaxGjYz27jX9zfcie6p9fO1UrdT33O\nwcUVQI3RiGXB4cSLedtrXfXUemsGOGp8EHElCAVIxLKXRjRpu6+HU/wz4HMS0LJhQLcuP8zThYoy\nF8p5ClbCIFRlN3ReUb2MSnfFEEcKwuQwp85PvHlB3jatsinvtaEb1FX4sYLleX01w4nBxVUkmiDS\nuB2Afx9+lL2d++xQXU8tHF7FefPPHPY4l82uwbJyuh/02quu97UfpTcc45ePPERz5EgmTyroaEHz\n9lDpqmZV4mLes+g/hnX/rQuUY4X8xPWsbS7dxWuXnjfssRYLWS0oCAWI54ir9qR9s6r1D/0jq2sa\nH7xwC996cht6WTe9ycETN4WpxdvPXs937mmivfpRAE5uXD/JIxKEgVk8uxyjczbETXBEM9tnuedx\n8FCSTSfMA+x0hWR3VaYFF9grmgejNxzDinrQ3GGeO3iYSEUPDuDDp13ObO9cAr7+vToHYtGscpJb\n6zCqmzmj9hU0B/2Y3M4DBx/l4Se7SMx5GnygW9myNZqRoM5Ty7WXrh32edYtreW5Z+vB18Oq8jW8\nb8OVeUWfJxIRV4JQgFiOuEq47KepE2tXDOvYJbMrid62Gs/qrVQ5q8dlfML4UFPh4apTzuVG8zE0\nzRKvlTClqS738J1rz+KFjjp+8vTv0Jy2wDpl3ho+e+qZmQU41QEPie6qTB4hDB0WDIbjdh0td5hj\n1m4cNeDTKlhWvWjE9aJ0XePypZfwwpEjvHH1mfyq5VkANGfUFlbp/cryH0ZnB+pHdJ7TTpzFRvUu\nWoNdzK6c3HuviCtBKEA8pvWLmee2XRiKr77lVfx9RzWv3bC6uAMTxp1FswMseeJiyhpbWVq5eLKH\nIwiD4nU7WN+wBqNpJ8l5diV0VXVC3srmmnKP3WQ+h6FqXoUi8UwD+zSrKk8cdSHO89Yu5by1dlJ5\nlTcAA5zeqwUIWXZpiXkV/Vf0DoXb5WC2a/IfaiXnShAKcNGWhYSfPR0rnk1GL1TEbiBm1ZTxzrPO\nos43sUmUwtgxdJ2PX3Y679tyyYRWdBaEsXDRhpWA3Vx+jn9W3ntul8HGE+aSDGVbcXVH8huV9yUY\njmXqUgGQMHjbmouKMtZQJFsG4nWLL2Gj+8LM6xVVyzP/r/fVFeV8k8GwPFdKqc3AN03TPLvP9ouB\nzwNx4Gemad6U2r4dSPv39pqmeXXRRiwIE8CrT1nAS4c6ebHnRYxKuwid2xh+joEgCMJE8qpVa1g2\nr5JqT3XBPKOLtixk+z11mfpRA4mrv23dx9Pt26j2V+T1JazwBDCM4vhjTj9xFg/YkUHOWbCFHYl2\ntu3/OwDzq+qoTryBNmMfCwJzi3K+yWBIcaWUug54G9DbZ7sT+A6wKfXew0qp24FOQOsrxARhOqFr\nGlUBN1a7N2ebOHoFQZiaaJrGoooFA74/t97PF85/C7994lH2uO+lNxbqt088keSP27bjWfU4h6Ma\nus8upFvjbODcRVuKNtbZtWX8v80fJ55MoGs6s2p8JF8sQ/f2UuYs45UbNmFLi+nLcDxXe4DXAb/s\ns30FsNs0zXYApdRDwJnAAcCnlLo79fmfNU3z0eINWRAmBrfTwIoOXVtFEARhOjCntoLZvtnsSUCw\ngLg63NKLc65d10/TbWFV5ajly2d8vOhjaczJYa0p9xB5cRP+2U1sPntmrNAdUlyZpvkHpdTCAm+V\nY3up0nQDFUAQ+BbwE2ApcKdSSpmmGe//EVmqqnw4HKOrhFxXFxjVcdOVUrJ3Mm1dMr+Ke/dkxdV4\njaWUvk8oLXtLxdZSsTPNdLa3sboaWiBihfvZ8dz+dnR/J8mgH80VRnPE8bm9E2LvzZ95LW6ngX8E\nJR6KxXjYN5bVgl1A7ogCQAewC9ujZQG7lFKtwCzgYP+PyNLePnhy3UDU1QVoaekeescZQinZO9m2\nrllYZS9FTjEeY5lsGyeaUrK3VGwtFTvTTHt742AlDLojPf3s2HekHc1IYFgeEpZdB8utuSfM3lA0\nTqh38PpbxWYs3+dgomws4uoFYKlSqhrowQ4Jfgu4BjgR+IBSaja2h+voGM4jCJOC22nwhtNXcXvb\nY5M9FEEQhKLgcRlYcSftWis7j5ssKl/EXx/az6HmHnYePor3JChzlNGldQBQ7pbeqKNhxOJKKXUl\n4DdN88dKqY8Bd2GXdPiZaZqHlVI/BW5O5WBZwDVDhQQFYapy/rrl1By7ktllI6+3IgiCMNXwuB0Q\nd4I7zPef/SnL3Sfz3OHjGJUteE+yPTgVXj9dMTvnKuDyTeZwpy3DElemae4DTkn9/5ac7X8F/tpn\n3yhwZfGGKAiTy8aGdZM9BEEQhKLgdRnoZdkw2IuRx3HOAUMzSNh6ihq/n4Pt9gtHkcovlBryVxME\nQRCEEsHQdeJN8/O2aZbOV7d8DitmF022jDBotrjSdZEJo0H+aoIgCIJQItRUeIgdXE5o+ytIhu2Q\nX8BRSbnHT+zwCQCc1LAKErbQchvuSRvrdEZ6CwqCIAhCiVAVcHPjB88gFInz5YefBMDnsldFf+fN\nb6U90s7cijp2vZzgoLWdc+edMZnDnbaIuBIEQRCEEqLS76bS76bCWUU3nYSTdgMWv9eJ31sPwEcv\nO5uWlg2TOcxpjYQFBUEQBKEE+fiZb6LBV8+Vy18/2UOZcYjnShAEQRBKkLqyaj5/yicmexgzEvFc\nCYIgCIIgFBERV4IgCIIgCEVExJUgCIIgCEIREXElCIIgCIJQRERcCYIgCIIgFBERV4IgCIIgCEVE\nxJUgCIIgCEIREXElCIIgCIJQRERcCYIgCIIgFBERV4IgCIIgCEVExJUgCIIgCEIR0SzLmuwxCIIg\nCIIgzBjEcyUIgiAIglBERFwJgiAIgiAUERFXgiAIgiAIRUTElSAIgiAIQhERcSUIgiAIglBERFwJ\ngiAIgiAUERFXgiAIgiAIRUTElSAIgiAIQhFxTPYAhkIp5QTOAJ4wTbN7sscz3iildMBpmmZksscy\n3iilNMBhmmZssscynpTSHJb5O/MopfkLModnGpM1f6e050op9S7gbuAkIDzJwxl3lFLvBW4FvqSU\nWpWa+DMOpZSmlKoBvgesmezxjCelNIdl/s48Smn+gszhmcZkzt8pJ65SX7qmlLoQeDdwDXAT0JC7\nz2SNr9ikbVFKbQIuBz4DHASuAF45iUMrOmlbTdO0gEXAG4EzlVLVkzqwIlNKc1jmr8zf6Y7M4Zk1\nh6fK/J1S4iqlpP2pL74TeAB4P/Bn4Eal1OeVUo2p96c9KXvLUi+3AEdN09wD3ALMA85VSlVN1viK\nSR9bwXbT3gqsAE6clEGNA6U0h2X+yvyd7sgcnllzeCrN3ykjrpRSHwX+DnxZKfUR0zQfBhSQME3z\nFcCXsXPEXjeJwywaOfZ+VSn1fuC3wGql1HLTNNuBViCGfYFPa/p8t59Mbb7HNM0PAfuxb2BzJ22A\nRaKU5rDMX5m/0x2ZwzNrDk+1+TslxJVSailwPvBa4EbgEqXUZcB1wG0ApmnuAEJAe+qYaeuW7mPv\nt4HXA2cC/wd8USm1FfvCPoFpsOhgMPrY+h3gfKXU1anvE+AX2Dev9Uop1yQNc8yU0hyW+SvzN3XM\ntJy/IHN4ps3hqTh/p4S4AuqBHUDQNM2DwOeBbwK7gahSKq2qTwaCkIkZT1f62vtFbFX9M+DTwKew\n7Q9iPzlNZ/ra+gXgc0opB4BpmoeAx4BLgVmTNsqxU0pzWOavzN/pPH9hBs/hAqJhxs3hYdg46fN3\n0sRVnz9OO7AEmK2U0kzTfAjYClyJ/Ud7H/B74DbTNP8y4YMtAsOw9wns5DuwJ/l24CHTNJ+b2JGO\nHqVUmVLKn/p/2t6+tj4MPAx8IOfQnwM/MU1z/4QOeJQM084ZMYdHYOtMmL+OnOTm9L1xJs7f4dg5\nI+YvjMjemTCHq0klbiuljNTmGTWHh2njpM/fCRVXSqmLlFI35bzWU3+I54FdwJuBmtTbDwBJ0zTv\nxV61cZppmr+eyPGOlRHaez/Qa5rmPmy35gbTNH820WMeLUqpa7GTI9PLerVBbP0XtssdpZRummbE\nNM1HJnjIo2KEdk7rOTxCW6f7/P0s8L/Aa1KbZur8HYmd03r+wojtne5z+B3YNr0vZ9uMmsMjtHFS\n569mWRPn2VVK/Qe2q25DTrwXpdQGYB326oU9wEvAR4Evm6b5twkbYJEZhb1fMU3zjskY62hRStUB\nD2I/FdzQt0jbTPluS8VOGJOt03H+uoH/wg79/AhYY5rmH3LenxHfa6nYmWYM9k7HObwFO9S3F7u8\nwpdM09ya8/60/26no40TIq5SyjiZyubfCFSZpnlh6gK4AVgLvA1wYi+HfTXwU9M07xv3wY0DJWjv\nbcDtwGqgCttF+yns5MmTmCG2loqdUDq2psIK3wN+h50M6wAOYz8UzRhbS8XONKVkr1LqrcBB0zQf\nSP3m9JimeVPq9+ZGYCXwDqaxrdPRxnETV8qudGuZpvnj1ER3Az8yTfNtSqknsV2SPwReTLn0pjWl\nZG8BW6/BdtP+CPgT9pLmB4AfmKbZPHkjHRulYieUtK3zgc8CB4AjwJ1kbf2eaZotkzfSsVEqdqYp\nJXtTtuqmaf4gFRazUtftj4BbTNO8T9kr/1abprl9ckc7Oqa7jeOZc3Um8FmllM80zQTgBXYrpd4G\naNjem7vSQiMnMW26Ukr29rV1J/YS5l+kblrXAhcDbTCtbS0VO6F0bT0A9ACXATtM0zyGneh7Edkl\n29PV1lKxM00p2Xsm8KmUrZZSypm6bndhV13HNM1oWnRMU1untY1FE1dKqcac/68CugAT+HpqcxX2\nDfoM7HoU27HDDACk/mjThlKydxBbv5Ha/CR2rZR0C4UFwF9N04zD9LG1VOwEsRXb1m+mNv8QOAqs\nSd2gFwL3TjdbS8XONKVk7yC2fi21OZn69z6gTSmVV1JhOtg602wcc1hQ2bUjvoi93PGv2E0SO4BG\n7Bj3s8DFpmnuVEqtMU3z2dRxJwCLTNO8Z0wDmGBKyd5h2nqhaZovKqXOxc5hmIN9EVxvmub9kzHu\nkVIqdoLYSn9bLzJN83ml1KXAucAywIed2Hz3ZIx7pJSKnWlKyd6RXK+p/TdiP9T/z1QMlRViptpY\nDM/VVdgx7Y9gFyD7BHa5edM0zR7gZuCrADlCw2Ga5u7pJDRyuIrSsfcqhrY17el4ADtH5wbTNM+f\nTj/ClI6dILb2tTX9VPwX024F8nnTNM+YTj/AlI6daa6idOy9iuHbimma24CfTWXRUYCrmIE2jspz\npZS6Gjgbe8njIuyngZdT3pn3AIdN0/xuzv6HgQ+apvnnoox6gikle0vF1lKxE8TWmWhrqdiZppTs\nLQVbS8HGEXuulFLXYy9z/C52kvY7gPem3j4E/BNYoOwqqmnejh07nXaUkr2lYmup2AliKzPQ1lKx\nM00p2VsKtpaCjTC6sGAF8OOUS+572CuKrlRKrTNNMww0Ax6gR6VaDpimea9pmi8Ua9ATTCnZWyq2\nloqdILbORFtLxc40pWRvKdhaCjaOrNu3svsy/RG7ySPYJeVvB54DvquUejdwHnb5ecM0zWgRxzrh\nlJK9pWJrqdgJYisz0NZSsTNNKdlbCraWgo1pRr1aUClVju2+e61pmk1Kqc9hL9tuAD5hmmZT8YY5\n+ZSSvaVia6nYCWIrM9DWUrEzTSnZWwq2znQbR+S56sMc7D9MhVLqf4AdwKdN04wVZWRTj1Kyt1Rs\nLRU7QWydibaWip1pSsneUrB1Rts4FnF1JvBpYD3wS3OadUsfBaVkb6nYWip2gtg6EykVO9OUkr2l\nYOuMtnEs4ioK/CfwrekcFx0BpWRvqdhaKnaC2DoTKRU705SSvaVg64y2cSzi6mbTNMen6/PUpJTs\nLRVbS8VOEFtnIqViZ5pSsrcUbJ3RNo65/Y0gCIIgCIKQpWiNmwVBEARBEAQRV4IgCIIgCEVFxJUg\nCIIgCEIRGUtCuyAIwqSglFoI7AKeT23yAs8C15qmeWyQ4+43TfOc8R+hIAiljHiuBEGYrhwxTXOd\naZrrgOXAbuC2IY45e9xHJQhCySOeK0EQpj2maVpKqS8Ax5RSa4APAauxW2mYwOuAbwIopR4zTXOz\nUuoC4MuAE9gLvNs0zdZJMUAQhBmFeK4EQZgRpAoRvgRcCkRN09wCnIAdMrzQNM0Pp/bbrJSqA64H\nzjdN8yTgLlLiSxAEYayI50oQhJmEBTwFvKyU+iB2uHAp4O+z32ZgPnC/UgrAANomcJyCIMxgRFwJ\ngjAjUEq5AAUsBr4CfBf4OVALaH12N4CHTNN8bepYDxCYuNEKgjCTkbCgIAjTHqWUDnwJeBRYAvzO\nNM2fA03YDWKN1K4JpZQDeAzYopRaltr+/4AbJnbUgiDMVMRzJQjCdGW2Uurp1P8N7HDglcAc4Bal\n1BuACLbgWpTa7y/AM8AG4Brgd0opAzgEvHUCxy4IwgxGegsKgiAIgiAUEQkLCoIgCIIgFBERV4Ig\nCIIgCEVExJUgCIIgCEIREXElCIIgCIJQRERcCYIgCIIgFBERV4IgCIIgCEVExJUgCIIgCEIREXEl\nCIIgCIJQRP5/KCufCHEQvxYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a044ba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df[['path', 'Pred']].plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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UZtkGbVyagk6rYVfBxaGsVaW5g+2Ha4iLDOK+jcO7TQelhCWxPHHp0PqnI6m3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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119dbc160>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df[['path', 'Pred']].iloc[-30:].plot(figsize=(10, 6));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<img src=\"http://hilpisch.com/images/finaince_logo.png\" width=300px align=left>"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Prediction Based on Classification Algorithm"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The Data"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = pd.read_csv('http://hilpisch.com/eurusd.csv', index_col=0,\n",
" parse_dates=True)"
]
},
{
"cell_type": "code",
"execution_count": 63,
"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>Time</th>\n",
" <th>OpenBid</th>\n",
" <th>HighBid</th>\n",
" <th>LowBid</th>\n",
" <th>CloseBid</th>\n",
" <th>OpenAsk</th>\n",
" <th>HighAsk</th>\n",
" <th>LowAsk</th>\n",
" <th>CloseAsk</th>\n",
" <th>TotalTicks</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",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2017-05-27</th>\n",
" <td>21:00:00</td>\n",
" <td>1.11784</td>\n",
" <td>1.11784</td>\n",
" <td>1.11677</td>\n",
" <td>1.11681</td>\n",
" <td>1.11808</td>\n",
" <td>1.11808</td>\n",
" <td>1.11743</td>\n",
" <td>1.11788</td>\n",
" <td>48</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-28</th>\n",
" <td>21:00:00</td>\n",
" <td>1.11681</td>\n",
" <td>1.11894</td>\n",
" <td>1.11613</td>\n",
" <td>1.11622</td>\n",
" <td>1.11788</td>\n",
" <td>1.11906</td>\n",
" <td>1.11626</td>\n",
" <td>1.11660</td>\n",
" <td>119787</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-29</th>\n",
" <td>21:00:00</td>\n",
" <td>1.11622</td>\n",
" <td>1.12048</td>\n",
" <td>1.11087</td>\n",
" <td>1.11842</td>\n",
" <td>1.11660</td>\n",
" <td>1.12064</td>\n",
" <td>1.11100</td>\n",
" <td>1.11882</td>\n",
" <td>285165</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-30</th>\n",
" <td>21:00:00</td>\n",
" <td>1.11842</td>\n",
" <td>1.12517</td>\n",
" <td>1.11638</td>\n",
" <td>1.12418</td>\n",
" <td>1.11882</td>\n",
" <td>1.12530</td>\n",
" <td>1.11651</td>\n",
" <td>1.12434</td>\n",
" <td>293536</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-31</th>\n",
" <td>21:00:00</td>\n",
" <td>1.12418</td>\n",
" <td>1.12562</td>\n",
" <td>1.11997</td>\n",
" <td>1.12103</td>\n",
" <td>1.12434</td>\n",
" <td>1.12574</td>\n",
" <td>1.12027</td>\n",
" <td>1.12133</td>\n",
" <td>235113</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Time OpenBid HighBid LowBid CloseBid OpenAsk HighAsk \\\n",
"Date \n",
"2017-05-27 21:00:00 1.11784 1.11784 1.11677 1.11681 1.11808 1.11808 \n",
"2017-05-28 21:00:00 1.11681 1.11894 1.11613 1.11622 1.11788 1.11906 \n",
"2017-05-29 21:00:00 1.11622 1.12048 1.11087 1.11842 1.11660 1.12064 \n",
"2017-05-30 21:00:00 1.11842 1.12517 1.11638 1.12418 1.11882 1.12530 \n",
"2017-05-31 21:00:00 1.12418 1.12562 1.11997 1.12103 1.12434 1.12574 \n",
"\n",
" LowAsk CloseAsk TotalTicks \n",
"Date \n",
"2017-05-27 1.11743 1.11788 48 \n",
"2017-05-28 1.11626 1.11660 119787 \n",
"2017-05-29 1.11100 1.11882 285165 \n",
"2017-05-30 1.11651 1.12434 293536 \n",
"2017-05-31 1.12027 1.12133 235113 "
]
},
"execution_count": 63,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.tail()"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = data[['CloseAsk', 'CloseBid']]"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Mid'] = data.mean(axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Returns'] = np.log(data['Mid'] / data['Mid'].shift(1))"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = data[data.index > '2014-1-1']"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [],
"source": [
"cols = []\n",
"lags = 5\n",
"for lag in range(1, lags+1):\n",
" col = 'Lag_%d' % lag\n",
" data[col] = np.sign(data['Returns'].shift(lag))\n",
" cols.append(col)"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style>\n",
" .dataframe thead tr:only-child th {\n",
" text-align: right;\n",
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" 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>Returns</th>\n",
" <th>Lag_1</th>\n",
" <th>Lag_2</th>\n",
" <th>Lag_3</th>\n",
" <th>Lag_4</th>\n",
" <th>Lag_5</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",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2014-01-02</th>\n",
" <td>1.35931</td>\n",
" <td>1.35886</td>\n",
" <td>1.359085</td>\n",
" <td>-0.005884</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-04</th>\n",
" <td>1.35965</td>\n",
" <td>1.35905</td>\n",
" <td>1.359350</td>\n",
" <td>0.000195</td>\n",
" <td>-1.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-05</th>\n",
" <td>1.36286</td>\n",
" <td>1.36270</td>\n",
" <td>1.362780</td>\n",
" <td>0.002520</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-06</th>\n",
" <td>1.36163</td>\n",
" <td>1.36148</td>\n",
" <td>1.361555</td>\n",
" <td>-0.000899</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-07</th>\n",
" <td>1.35755</td>\n",
" <td>1.35748</td>\n",
" <td>1.357515</td>\n",
" <td>-0.002972</td>\n",
" <td>-1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-08</th>\n",
" <td>1.36068</td>\n",
" <td>1.36069</td>\n",
" <td>1.360685</td>\n",
" <td>0.002332</td>\n",
" <td>-1.0</td>\n",
" <td>-1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</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>0.004513</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>-1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</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>0.000739</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>-1.0</td>\n",
" <td>1.0</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>-0.000537</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>-1.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CloseAsk CloseBid Mid Returns Lag_1 Lag_2 Lag_3 \\\n",
"Date \n",
"2014-01-02 1.35931 1.35886 1.359085 -0.005884 NaN NaN NaN \n",
"2014-01-04 1.35965 1.35905 1.359350 0.000195 -1.0 NaN NaN \n",
"2014-01-05 1.36286 1.36270 1.362780 0.002520 1.0 -1.0 NaN \n",
"2014-01-06 1.36163 1.36148 1.361555 -0.000899 1.0 1.0 -1.0 \n",
"2014-01-07 1.35755 1.35748 1.357515 -0.002972 -1.0 1.0 1.0 \n",
"2014-01-08 1.36068 1.36069 1.360685 0.002332 -1.0 -1.0 1.0 \n",
"2014-01-09 1.36701 1.36667 1.366840 0.004513 1.0 -1.0 -1.0 \n",
"2014-01-11 1.36815 1.36755 1.367850 0.000739 1.0 1.0 -1.0 \n",
"2014-01-12 1.36718 1.36705 1.367115 -0.000537 1.0 1.0 1.0 \n",
"\n",
" Lag_4 Lag_5 \n",
"Date \n",
"2014-01-02 NaN NaN \n",
"2014-01-04 NaN NaN \n",
"2014-01-05 NaN NaN \n",
"2014-01-06 NaN NaN \n",
"2014-01-07 -1.0 NaN \n",
"2014-01-08 1.0 -1.0 \n",
"2014-01-09 1.0 1.0 \n",
"2014-01-11 -1.0 1.0 \n",
"2014-01-12 -1.0 -1.0 "
]
},
"execution_count": 69,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head(9)"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data.dropna(inplace=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Logistic Regression"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn import linear_model"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"lm = linear_model.LogisticRegression(C=1)"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"LogisticRegression(C=1, class_weight=None, dual=False, fit_intercept=True,\n",
" intercept_scaling=1, max_iter=100, multi_class='ovr', n_jobs=1,\n",
" penalty='l2', random_state=None, solver='liblinear', tol=0.0001,\n",
" verbose=0, warm_start=False)"
]
},
"execution_count": 73,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lm.fit(data[cols], np.sign(data['Returns']))"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[-0.03410344, -0.0031828 , -0.12071964, -0.02167271, -0.04084084]])"
]
},
"execution_count": 74,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lm.coef_"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-0.13723812])"
]
},
"execution_count": 75,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lm.intercept_"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-1., -1., -1., ..., 1., 1., 1.])"
]
},
"execution_count": 76,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lm.predict(data[cols])"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Prediction'] = lm.predict(data[cols])"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-1.0 775\n",
" 1.0 280\n",
"Name: Prediction, dtype: int64"
]
},
"execution_count": 78,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data['Prediction'].value_counts()"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
" 1.0 566\n",
"-1.0 489\n",
"dtype: int64"
]
},
"execution_count": 79,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sign(data['Prediction'] * data['Returns']).value_counts()"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Strategy'] = data['Prediction'] * data['Returns']"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [
{
"data": {
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f6qppdgc8/HHLfWg1WlbkHdXr+2NJEDXKSkqm88ADj/Y4/uc/3zcGoxFCCDHcosvzp6Tk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\naDL4ccSVz2MAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11c33e320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data[['Returns', 'Strategy']].cumsum().apply(np.exp).plot(figsize=(10, 6));"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Out-of-Sample Performance"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"cutoff = '2015-6-30'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Training the Model"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"train = data[data.index < cutoff].copy()"
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"LogisticRegression(C=1, class_weight=None, dual=False, fit_intercept=True,\n",
" intercept_scaling=1, max_iter=100, multi_class='ovr', n_jobs=1,\n",
" penalty='l2', random_state=None, solver='liblinear', tol=0.0001,\n",
" verbose=0, warm_start=False)"
]
},
"execution_count": 84,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lm.fit(train[cols], np.sign(train['Returns']))"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"train['Prediction'] = lm.predict(train[cols])"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-1.0 325\n",
" 1.0 134\n",
"Name: Prediction, dtype: int64"
]
},
"execution_count": 86,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"train['Prediction'].value_counts()"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
" 1.0 246\n",
"-1.0 213\n",
"dtype: int64"
]
},
"execution_count": 87,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sign(train['Prediction'] * train['Returns']).value_counts()"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"train['Strategy'] = train['Prediction'] * train['Returns']"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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T3o0MGRnhatInkhsWVxBy/7TY2iiIz6Oyt4r93eUAxAvL1ZQjl8nRqbSzznIV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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11c3e4be0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"train[['Returns', 'Strategy']].cumsum().apply(np.exp).plot(figsize=(10, 6));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Testing the Model"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"test = data[data.index >= cutoff].copy()"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"test['Prediction'] = lm.predict(test[cols])"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-1.0 421\n",
" 1.0 175\n",
"Name: Prediction, dtype: int64"
]
},
"execution_count": 92,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"test['Prediction'].value_counts()"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
" 1.0 323\n",
"-1.0 273\n",
"dtype: int64"
]
},
"execution_count": 93,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sign(test['Prediction'] * test['Returns']).value_counts()"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"test['Strategy'] = test['Prediction'] * test['Returns']"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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JVSwqmI/VmMWWhg/V91OaWdLv96fayeWrsOXNUX+XrYMIpDUaDatKljPNOuW4\nmwNLACaEEKMkHAnzXv0HAJRaijlnxjrKMku4Yek16hRffCWWK+hmZ/MeSjNLmGGd1udzxiU2Z/3K\nki9w07Jrk1aXZcdqqHprc5C4Z1736bMvLfo8AEZt13PVOo8C0d5e8U7pwXCQ7U0fJQVIW4/t5Ecf\n/DL6fof5oarRRAu7nQEXzoCLf1a/qmZcEnli2ahLZp+PXqPjmf0vjlh/LYevnZ9u/R07Y0GeWXd8\nAVim0aw+jgfiiV4+9LraiqPJ2xWYHXF1rWh1Blz8+INf8eiex/t9rY11m7lnx8NAdFeC/znpZrQa\nLdsao9nP3IwcNYialzeHFYPIcAJk6IzMyqngpmXXDiqDNDNnBma9CZ1Wx5rSlXhCXva22bHozaO+\n24FWo+XqE64gNyMHvVY/6Nf/wgn/zS2rvn7crytTkEIIMQrCkTD37HiYqvZoYXhpZjHTrVP539Xf\nAroaULoCLpo8zXzUspewEmZZ0aJBtVKIN1SFaE2YRqNhYb5NzaL111k8XvtSYinmhIL5SefKs0qZ\nnVNBdUKfsEMJheFvHnmXBfnzePvYJp498E8Arlr4GVaWLONPO56JTvFMX8fqspUDvoeBWA3RLW1u\nefeHAFj0JtZ3228vPgU5I3s6Z89Yx4ZDr/Na7ZtcNPu8Yb9+d7/b8ZBa/2XUGY+7dULiKsOChEA6\nvm1T/HcGSOqJVtt5hGAkhEGrp8nTQlgJs6tlH/a2A2xr2kleRg7nzzwr6bU21HQt1Fg/9VQKzQXM\nsE6lJtbk94xppw5Yw5Zqa8pW8trht4Do7+BotA7pzmrM4tsrbqTd3zGs2rqhkABMCCFGSHyaaEpW\nGYedx5I+SMu6ZYTiezpWtu3nSfuz6vHEWpP+6GMf/gatQf0Aq8iepgZgib2cuivLLOH0KSezomRZ\nr/VSVqMVBQVX0I1Zb46udMssxaQ3sa+tiu++c0dSC4XH9/2NZm8rDa5mVpeuSFnws376aTx/4F/q\nfoKuXjJg3qAXnUaHUWvgnBnreaX2Taraq1Py+okURVGDLwCL3tzP1f2Lr4KEaAZqUcECdrfu44yp\np3CwvYZ6dyOFpmhdVXwhBURblGxt3MGXF1+FL9yV5fur/Vk1U9Y9AMsz5eDwt2PQGtT2CSeXrVID\nsJUly477fRyv0sxidUusXFPOwN8wQvJMueQN8t9bKsgUpBBCjJB9bVXcvfW3PLz7cerd0W1d1k09\nhf+afX4ExsxEAAAgAElEQVSPlWLxzMeHsYApLjdjcB8Ia8pWsrhwId9acaN6LLEhZH8ZMK1Gy+W2\nS/usNYtPXzoDLirbqghGgizIn8dVCz/DmrKVatsCs97EZ+d/irAS5l81r2HQGVg/7bRBjX8wVpYs\n44drb1HbZ3TEOrUncoc8WPRmNBoNRp2BTL0F13FsVD6QeL1UXLwn1vFInBbOycjmCyd8httWf5vS\nzBLm5M4Coj/fxOamH5t6CnNzZxFRIhxor8HhiwaluRk5SdOU3Tl8HZh0Ju44+XtqsL2ydDm5GTks\nLVrUow3IaJkf6xyfoR36ooLxSjJgQggxQuKF1B+17OGjWHPTRYULWJA/r8e1pZnFfH35dTR7W3n9\n8Ds0xorncwdRBA3RQu6vLPlC0rGcjGzWlq1if3s1Of2sZhtIPHjrDDjZ1hjdQ/LEkiUUmvP53IJP\nEwwH2da0k0A4yEmlJ1Lp2I9Jb+KKEy9Ccad2Oker0bK4cAHQ1ak9kSfoTQpUsoyZvV43XN3rz4YT\ngCVOueVmZGPWmzHHMmqnTzkZb8jLaVNO5mDHIfW6C2aeTTAS5H82/phWXxv+WAbs0/P+i0f3PEEo\nthAjHAmrU6MRJUJHoJOK7GlqLy6I1m/dvuY76EZ4tWh/Prvg07xw8F9cNPvctI1htEkAJoQQI6Qz\ntrVOvHgc+u+FNS9vDvPy5hCKhHm66nmgZ8+kobpi/icBhlVXY41NXzp87exq2Uu+KS9pYcBJpSey\nrWknp05Zg06r4+oTrgCg0GKl2e0cxuh7Z9QZMevNPbr6B8IBPCFvUl+mLEMm9e7GpEAkFboHYKbj\nLMDvztxtKrM8q1S9n4nTnBa9GQUTeo2O7bGN1SG6/dEn517MX2PT2J6QVw2gO/ydRJSI2kA10fG0\ns0ilnAwrn194eVrHMNpkClIIIUZIPAA7tXyNemwwNSaJfZS6fyAPlUajGXZRc3wK8r26D/CFfSwv\nXpz0nIsKF/C9VV/j0tkfH9brDEVuRjbt3TJbbxx5l4gSwZbXtZJQ3esv1LNebDi6158pKH1cOThX\nzv8Un5h7Ub8/K7Oh63dBo9Gg1Wh7/D5l6i2cNmUNp8S2/kkMFOO1c6NZ5yT6JgGYEEKMkHgAtrZ8\nlXpsME1BC0xdAVg6VoR1l22Mbx0TLdReUby0xzXTrVNHbfUYRGudvCEvgdjej6FIiDePvINFb+as\nGV2r+LIGuYXRULmDyc8XSui9djzWlq8asF6ut0L/xLDPmLAAIz4N6wy41KnwtlidWG8ZMDH6ZApS\nCCFGwLP7/8neVjtGnZF8Ux7XLb6qz02Nu4sX5GtIf/AFMCN7KudXnIWCwgzrVGZkD9yXbKTFa9oc\n/g5KLEXsbtmHK+jmjGmnJmUN4z3OXMFUB2DJGbD4QoSR1FuNVnwadnbOTD674FPq8fjv2q8/vB8N\nGm496Wa1AetwtpUSqSMBmBBCpFiHv5PXY53jM/XRD8KlCV3vB2LQGbhl1TeSGqSmk1ajVbchGivi\nG3s3uBspsRSxM7bIYXVpcr+x+PZAIxWA6TU6QkqYcKT/HQFSIRTbpDsxi/rZ+Z/ij3uf5Ir5l6m7\nFkDX7x1Ep0f3tFaqneYH2tpKjA6ZghRCiH4cc9Xz0K4/q8v8e7OjaRd/q3pB3ST534f/o56L190M\n1TRrudTq9GNKbJPoI7Gg4nDnUUy6jKTNzaFrX7/UT0FGA7C15asBWBbbP3MkRYgGefE9EwFWlS7n\nnjPu7rHTQPdu9Htb7RxxHiPflDfoTKwYWSnNgNlsttXA3Xa7fV0v5yzAa8A1dru9MnZsOxCvoqyx\n2+1Xp3I8QggxXK8ceoMdzbto9DSpXeu7e2j3n4Hopskt3takhqtiZEyLBWBHXXX4Qn4aPc3MyZ3Z\no8YuXoTf0W3F5HDFa8DOmbGOteUn9Qj8RsLZ09dxqOMwn5h7UdLx3uoEE4Os0swS9Xdyac7gM7Fi\nZKUsALPZbN8FPgf0+DPDZrOtBO4HpiYcMwGa3oI1IYQYK+KZjnp3I20+R9Kei0DS5sfxfR5NugyW\nFS2m0dPEaVNOHr3BTiLZRivZRiu1nUeo6ahFQel1am2qtRyj1sD7Dds4b+ZZGIaxIXhcYhf8TEPm\nqGUqrcYsvrnihkFda0mYgrxy/id5v34rDn87H5t6ykgNTwxRKjNgB4HLgD/3ci4DuLTbuaWAxWaz\nvRobx612u/39FI5HCCGGrd7doD4+3Hm0RwB21BWdAltYYOPU8jVk6IzMzZ2V0p5TonfLihbx9rFN\n3LMzurn0dOvUHtdkGTI5dcoa3jjyDrta9nLiIDeX7s+2xh0cddWxrGgRxlFc+TkUpZnFfH7B5czO\nnUmhOZ9ZOTPSPSTRTcoCMLvd/ozNZqvo49xGAJvNlnjYA/wceBiYC2yw2Ww2u93e51revLxoRF9U\n1PeeZiJK7tHA5B4NbLLfI6ffRUfAiUGrJxgJ0RJuTronRUVWPmiLbjF05py1nFZxUrqGOmaN5O/Q\nVwquZN+/qmh2twKwbMY8irJ7vt6Z2pN548g7HPbWcm5RcgaoqqWaQ+1HWTt9RY+6qd74Qn5e2LQB\ng1bPtSddTlFWat7fSNynC4vWpfw502Gi/n8onasgq4ADdrtdAapsNlsrUAYc6esbHA4PRUVWmptT\n31l5IpF7NDC5RwOTewT7HdG6mZNKV7CxbjOVjdXqPYnfn821OwEo0ZVN+vvV3Wj8Ds20zlADMJ3P\nTLO/5+tZI3lk6Ix8VF+ZNB5fyMf/vv0zAOpam7lgECs9tzXupM3bztnT16HxZtDsHf77k39rfRvv\n96a/4DGdqyC/CPwCwGazlQPZQH0axyOEEEmOxaYf5+TOpMCUp043xrmDHqraDzLDOk1WLKbJlKwy\n9XFfTW51Wh2zc2fS6GlWt4SCrsakAIedxwb1evGmpnPzZh3PcIVQjVgAZrPZrrDZbNf1c8kjQK7N\nZnsXeAr4Yn/Tj0IIMdrqXdEArDyzlCJzIc6AC1/Ir54/2F5DRImom0OL0Rff2HygxQ5llmibhhZv\nm3oscZPueJNSgGAkRHXCxteJWrzRbFuhueC4xitEXEqnIO12+yFgTezxE72cX5fwOABckcrXF0KI\nVKpzN6DVaCnJLKbQUgCO/bT62tSsS7wLeZGl7w22xciaklXGj9beqm443Zd4hrLN52BmznQA2gNd\nAZjD34476CHTYOHJymfY3LCNryz5AosLFyY9T7O3FQ0adbcCIY6XNGIVQoheKIpCnauRYnMhBq2e\nwtj+jFsbd6j7/sUzKPFtcUR65Jly0Q/QXiK+ejWxMW68N9jUrGhPsW2N0Xq+zQ3bADjU2bMkucXb\nOqjXE2IgEoAJIUQvvCEvvrCPIkt0qqkoNuX0au2bvFr7JtCVQcnJkABsrMtXM2CJAVj053f+zLOw\n6M08VfUc9+54RD2v7bYXZyAcpCPQKdOPIiUkABNCiF4EY1kugzba56kg4UP3/fptKIpCuy+aQZEA\nbOyLT0EmbinVHgvA5ubO4vqlX0Sv1bO3za6e775/ZDxgy8+QBRdi+CQAE0KIXoS6BWAllkJ1e5eO\nQCfXv3grlY79mPUmMnTGtI1TDE6m3oJRa8DhcwCwuX4bH7XsQYMGi97MrJwZfHflV5O+pz2hSB/A\nG/YCYDaYRmfQYkKTAEwIIXoRD8D0sY72Rp2RH5/yv5w+ZS2hSIg2bzSTkrgVkRi7NBoN+eZ8mr1t\nKIrCO8c2ATA3b7a6l+KUrDLm581Vv6e92/6R8RWwJp0EYGL4JAATQoheBNUArKvY2qDVc17Fej5e\ncRaXLDgXgLASTsv4xNBNzSrDF/bR4GniiKuOKVllfG3Zl5KuKc0sVh9338DbG/IBYNZLACaGTwIw\nIYToRUjpGYBBtN7rglnncOG8M9FrdJxfcWY6hieOQ3yvyE31WwhFQszMmaFmv+IumHkOq0tXkG20\n0hFw8lrtW1R31KIoCr5YAGbSZ4z62MXEI+tohRCiF6FINLNl0PT+v8lsk5Vfrftxn93XxdgTD8De\nPvoeABXWaT2usRjMfH7h5bxW+xYvHNzA8wf/BcDnF1yOLxydgjTrzaM0YjGRSQAmhBC9CEaitV36\nWBF+byT4Gl+mWcvJ0BkJRkIsL1rMipKlfV579ox1rCxZxuaGbbxY/QpN3hZ1QYZJJxkwMXwSgAkh\nRC+6F+GL8c+kN3HrSd/EoNUPqnVInimXpUWLeLH6FVwBl5r5MkkNmEgBCcCEEKIX3fuAiYmh0Jw/\npOuzDJlAtCeYJpbxlCJ8kQoSgAkhRC8kAyYAMg0WNGhwBd3qggyZghSpIAGYEEL0Qi3ClwzYpKbV\naLEYzBxor1GPyRSkSAWpIBVCiG5CkRAhtQhfMmCTXXwaMk52PhCpIBkwIYRI8EHDdh7b+1eWFS0G\nevYBE5NP94yXrH4VqSC/RUIIkeCf1a8AsKN5F9B/GwoxOXiCnnQPQUxAEoAJIUQCY7fpJYNMQU56\nzoBLfSwF+CJVJAATQkx6NR2H+Wf1q0SUCIZuU46SARPz8+cB8Mm5F3PHybekeTRiopDiBiHEpPdq\n7Zt81LKHeXmzcXWbbpIifPHZBZ9ibfkqTiiYn+6hiAlEMmBCiEmv0dMEwK6WvbT7O5LOSRsKYdab\nJPgSKScBmBBiUgtHwjR7WwF4v34rESWSdF7fx2bcQggxHBKACSEmtRZvqxp0eULeHucNOgnAhBCp\nJwGYEGJSa/A0A1Bo6tojcGGBTX0sGTAhxEiQAEwIMakdc9UBcOb009Vja0pXqo+lCF8IMRLkTzsh\nxKRW3VELwInFS8k2WimyFOIN+dTzUoQvhBgJEoAJISatiBKhpqOWEksRWcZMlhVHtx9qik1Lgmw7\nI4QYGfJ/FiHEpFXvbsQX9jMrpyLpuNVoVR9rNJpRHpUQYjKQAEwIMWnVuxoAmJpVnnRctpsRQow0\nCcCEEJNWY2yqsSSzKOm4ZL2EECNNasCEEJOWGoBZinqc+8byrxBWwqM9JCHEJCEBmBBi0mrwNGHU\nGsjNyOlxbm7erDSMSAgxWcgUpBBiUoooEZo8LRRbimSloxBi1Mn/dYQQk5I76CEYCVJgykv3UIQQ\nk5AEYEKISakz4AQgOyM7zSMRQkxGEoAJISalDn8nADkJPb+EEGK0SBG+EGLSCEfC/KP6ZRrcTexu\n3QdAjmTAhBBpIAGYEGLSqOk8zL8P/yfpWLZkwIQQaSBTkEKISaPZ2wrAvNzZ6jHJgAkh0kECMCHE\npNHqbQNgRclS9Vi2UQIwIcTokwBMCDFptMQCsPn5c9VjVmNmuoYjhJjEUloDZrPZVgN32+32db2c\nswCvAdfY7fZKm82mBe4DlgJ+4Fq73X4gleMRQohErb5WtBoteRm5XDDzbDoDLmnCKoRIi5QFYDab\n7bvA5wB3L+dWAvcDUxMOXwKY7Hb7yTabbQ3wC+C/UjUeIYTorsXbRn5GLjqtjo/PPDvdwxFCTGKp\n/NPvIHBZH+cygEuByoRjpwIvA9jt9veBlSkcixBCJAmGg3QGnOSb89M9FCGESF0GzG63P2Oz2Sr6\nOLcRwGazJR7OBjoSvg7bbDa93W4P9fUaeXkWAIqKZNn4QOQeDUzu0cAm0j1qcDYBUJZTmLL3NZHu\nz0iRezQ4cp/6NlHvTTr7gHUCiXdV21/wBeBweCgqstLc7BzZkY1zco8GJvdoYBPlHgXCAXQaHQc7\n6gAwk5mS9zVR7s9Ikns0OHKf+jbe701/wWM6A7CNwEXA07EasF1pHIsQYoIJhoO8XPsGr9W+BUBE\niQCQm5GTxlEJIUTUiAVgNpvtCiDLbrc/2MclzwFn22y29wANcPVIjUUIMfk8VfU8m+q3kGXIJBAO\nEFbCAORJACaEGANSGoDZ7fZDwJrY4yd6Ob8u4XEE+EoqX18IIeKOuuowaA3ccfL3ONBew+8/+gMA\neabcNI9MCCGkEasQYoIKhIOYdBmY9CZm5VSox2UKUggxFkgAJoSYkALhAEadAQCLwawet+jNfX2L\nEEKMmnQW4QshxIgJRAJYjV0rkH58yv8QCAfQaDRpHJUQQkRJACaEmJAC4SBGrUH9WqYehRBjiUxB\nCiEmnIgSIRgJqlOQQggx1kgAJoSYcEKRaE9no86Y5pEIIUTvJAATQkw4gXAQAKNWAjAhxNgkAZgQ\nYsIJRAIAMgUphBizJAATQkw4gXAsANNKACaEGJskABNCTDjqFKTUgAkhxigJwIQQE04gEq8BkwyY\nEGJskgBMCDHhxKcgDZIBE0KMURKACSEmHDUDJkX4QogxSgIwIcSEE8+AZUgbCiHEGCUBmBBiwgnG\nivANkgETQoxREoAJISacrilIyYAJIcYmCcCEEBOOX/qACSHGOAnAhBATTjAegEkGTAgxRkkAJoSY\ncCQDJoQY6yQAE0JMOPXuRgAKzPlpHokQQvROAjAhxIQSUSLUdNZSYikm02BJ93CEEKJXEoAJISaU\nOlcD/nCAWTkz0j0UIYTokwRgQogJ5bDzKAAzs6eneSRCCNE3CcCEEBNKg6cJgNLMkjSPRAgh+iYB\nmBBiQmnyNANQYilK80iEEKJv+nQPQAghhqPJ08yDu/6EN+RjalY5TZ5mLHqzFOALIcY0CcCEEOOa\n3XGQencjeo2O3a37gGj9l0ajSfPIhBCibzIFKYQY19r9HQCcOf1j6jGp/xJCjHUSgAkhxq1wJIzD\n1w7ASaUnUpZZQrGlkHNmrEvvwIQQYgAyBSmEGJd8IT8/3fpbGmNF9/mmPG5Z9XV0Gp1MPwohxjwJ\nwIQQ49JrtW+qwZdRZ8Sok30fhRDjh0xBCiFG3BHnMYKRUEqfc59jv/o4ENt8WwghxgsJwIQQI2q/\n4yA/2fIbnrI/l9Lnbfd1pPT5hBBiNEkAJoQYUR827wJgU/0WIkokJc8ZjoTpDDjJMVoBWF26IiXP\nK4QQo0VqwIQQI0ZRFPa02tWvDzuPUpGCPRo7A04UFObmzebSOReQacgc9nMKIcRokgyYEGLENHia\naPG2ql/Xu5tS8ryOWO+v3IwccjNyMGjlb0khxPgiAZgQYsR81LwHgBXFSwFwBpwped72hABMCCHG\nIwnAhBAjZndrJRo0rClbCYAz4Or3+kA4wC3v/JDnD/yrxzlFUVAUBYD2WPPVPAnAhBDjlARgQogR\nEVEiHHUeozyrlLLY1kCd3TJg4UiYNp+DcCQMwDFXA86gi9cOv9Xj+f607ylu3/QT2v0dbKzfAkCx\npWhk34QQQowQKZwQIgUUReHP+57G4Wun2FLIpXMuxKTPSPew0qrF20YgEqQ8s4wsYxbQMwN2385H\nqXTsp8CUx/kVZyV1sA9Hwui0OgB2tezlg4btANz5/i/whX2sm3oK5Vmlo/RuhBAitVIagNlsttXA\n3Xa7fV234xcBtwMh4FG73f5Q7Ph2oDN2WY3dbr86leMRYrR0BDrZ3LANgKr2g9jy53Ji8ZI0jyq9\n6lz1AEzJKsWg1WPWm3sEYIc6jwDQEXDyeOXfMGi7utk3eprVAKvKcVA97gv7WD/tNC6Z/fGRfgtC\nCDFiUhaA2Wy27wKfA9zdjhuAXwGrYuc22my2fwAdgKZ7sCbEeOQOegAoNOXT4muj0d2c5hGllzvo\nUft/TckqAyDbmJU0BekN+fCFfSwssPGZeZdy99bfqvcR4JirXg3A4t/337bLyDPlckLB/NF6K0II\nMSJSWQN2ELisl+MLgAN2u91ht9sDwLvA6cBSwGKz2V612Wxv2Gy2NSkcixCjKp7ZmZ07E4BGT2ra\nLYxHDl87t733f2xt3EGGzsh061QArMYs3EGPWu/VEVvJmJeRQ4E5n88t+HTS8zQk3MPO2P1dXbZS\ngi8hxISQsgyY3W5/xmazVfRyKptotivOCeQAHuDnwMPAXGCDzWaz2e32PjeMy8uzAFBUZE3RqCcu\nuUcDS+U92u+NdnhfWDab7U07aQ20ToifwfG8h0PHqvGHA5w64ySuWvYJckzZ0eey5nOgvYa3mt7m\n0gXnUR8OAjAlv5iiIivri1aTZc3A4e3gke1/xaU41df3ht1kGsyUl+Sl7s2lwET4GY80uUeDI/ep\nbxP13oxGEX4nkHj3rEA7UEU0M6YAVTabrRUoA4709UQOh4eiIivNzanpJTRRyT0aWCrvkaIo1LVG\nm41qAgaKzIUc62ygqakzqah8vDnee3SgIfpPeIHVRsCpodkZfY61xWvY3Wjn2b0baGxvY2asI74h\nZFZfZ2bGbKYbwmg1T3PM0ageb/N2kGUYW7/X8u9sYHKPBkfuU9/G+73pL3gcjTYU+4C5Npst32az\nGYlOP24Cvgj8AsBms5UTzZTVj8J4hEipF6tf4emq5wHIMmRSllmCPxygyTM568CaPS0AFFkKk47P\nypnB/1vzXTJ0Rmo6atVmqt17eem0OvIycmn1tQHR1ZDuoIfs2EpKIYSYCEYsALPZbFfYbLbr7HZ7\nEPgm8ArRwOtRu91+DHgEyLXZbO8CTwFf7G/6UYixyBfy8dbRd9Wvs4yZzMubDUCl40C6hpVWzbGt\nhwrNBT3OmfQmCkz5tPkcao1XrqlnM9UCcz6dASeBcBBnMFr/lW2cmNMQQojJKaVTkHa7/RCwJvb4\niYTjLwIvdrs2AFyRytcXYrRta9yJPxxQv840WJifPw+Ayrb9fGzq2nQNLW2ava3kGLPJ0Bl7PV9g\nzqfO3cDWxh3kZeT2GqgVmvKpAt4+9h4lsWarVsmACSEmEGnEKsQwvFu3OenrTEMmBq2eHGM2R5zH\n0jSq9NlYt5k2n4MFsSC0N4WmfPXxtYs/2+tG2lOt5VAPzx14ST2WY8xO7WCFECKNZCuiERAKRwiG\nIukehhhhda4GDjuPJgUb8WDCYjATSMiMTQaeoIfXD7+NUWfkk3Mv7vO6fHPXSsYZ1mm9XnP6lJP5\n1oobuXDmuWjQUGDKZ1Xp8pSPWQgh0kUyYCPglgc20dbp59Fb1qd7KGIExTNcS4tOoM3nQKfRqecy\ndBn4wy3pGtqoe/XQm7xQvQGAmdnTKc0s7vNaY0K3+75WiWo0GmblzGBWzgxOLF5MTkY2Jr0ptYMW\nQog0kgBsBLR1+gGIKAracdyGYKLbWLeZ3Iyc427s2Rhb5VhiKeJ/V38LDV0/6wydkZASJhQJoe9l\nim0i2d70kRp8Qc/Vj92tKFnGnlY751acMajnL+knmBNCiPFKpiBHkNsbTPcQRB+8QR9PVD7DfTsf\nPe7niAdgxZYitBptUjYnQxfdiHuiT0PWdh7hT3v/mlRwX2wu6vd7zHoTX15yFRWxPmBCCDEZSQA2\ngjrdE/vDdzyrcfTZ73dAnqCXA+01NLgbydAZey0Ojwck/gkcgPlCfh7e/TihSJgvnnClerzI0nNV\noxBCiGQTe24kDRRFUR93eoJMSeNYRE87m/dg1ptojXQ1SQ1GQr2uxOvLC9UbePfY+wBMs07ptY6p\nKwDzD3PEY5M/HOCBXY/R5nNw7oz1LCpcQJYhE1fQTb5pbG0XJIQQY5EEYCkWjiQEYJIBG1Ma3U08\nuOsxgKR6rQ5/J4Xm/L6+rYd6VyMaNJRkFrOqpPeVefEpyImaAdvRtIsqxwEW5ts4v+JMAL636mvs\nd1QzK2dGmkcnhBBjnwRgKRYIhtXHEoClTiqK2eM1W1OyyugMOnH6ox3WhxqAOfzt5GRkc9vqb/V5\nzUTPgHX4OwH42NS1GHTRVY35pjxWl61I57CEEGLckBqwFAsk9P/q9EgAlgpvH93E19+6lcPOo8N6\nnlafA4DzKs7koYvvVntVxfckHIyIEqHd30FeRm6/12XoJ3YGzBV0A9Gtl4YqGIrwxGtV1Le6Uz0s\nIYQYNyQAS7HEDFiHZMBS4qmq5wD4sGnXoK4PRkIcddb1ON7qjW7uXGDKQ6vVqptAdwwhAOsMOIko\nEfJNAwRgE7wIXw3ADEPfHmjz3kb+ve0o//fnbakelhBCjBsyBdmPiBLhsPMogXCAInMheQN86AIE\ngl0ZMKcEYCllNfSfbQmGg9yz82EOth9CQeHry7+sboxd52rgraMbga5NonMyoqsXHUMIwBy+dqD3\nDaQTddWATcwpyPgG2VkD/Ex64w2EAHD7QiiK0mczViGEmMgkAOvHzuY9PLz7z0D0g+auU29Dq+k/\naegPdWXAfIFwP1eKoQpEQv2eP+w8xoH2GvXrKscBNQB7YNdjKEQXSFj0ZgDKMkvQarTUdNQOegxt\nsQAsP6P/lX4TPgMWcKPX6vvccLs/rR0+9XFdi5spRbLJthBi8pEpyD40eprZ0vghAHkZubiCbtpi\nNUT9ScyA+YISgA1XfKoLwBPy9Httq68t6etmbysQzWS2xB6XZZaoGReT3sQM6zRqnUfxhnwMRpXj\nAMCARftqBiw0QQOwoJssQ+ZxZa9aEgKw+57fTSgs+6YKISYfCcB64Qv5+eH7P2Nn8260Gi1rylYC\nUO9uHPB7gwkZsMAYDcBC4QhP/LuKhrb+A5qxoMHdpD72BvsPkpo8yXsvHuo4TCAcpDl2fGpWOV9Z\n8oWka2z5c4goEQ60V/f73Jvqt/JX+3Nsqt9KkbkgaQPu3kz0VZCuoHvAKeG+tLR7MRq0nDiviPpW\nD83t3hSPTgghxj4JwHrxUcse9XFEiTDNGm2nOpgALCkDNkanIP+zo45/bz3KT5/Ynu6hDChxetAT\n6v+DusnTnPR1i6+N7797J3+pfAaA1WUr1PqvuLLMEqCrtqs3ESXC4/ue5p1jmwgrYS6YeQ46ra7P\n62Fi9wELhIMEwgGyjEOfOvQHwzR3eCnKMTO9OPr98b1ThRBiMpEaMODVQ29ysOMQX15yFVqNlu1N\nH6nnzp2xnrLYZsCDCcD8CVkv/xgNwLz+aC1Vu2tsBweKonCw45D6dX8BWESJqD+f82asZ1nxErY3\n7eSDhu0c7IjWhU3L6rkvgVlvAqJZz+68IR+P7X0yaauhfFMeK0qWDjj28ZgB29rwIU/an+WWVd/o\nd2p+Rs4AACAASURBVDsh13EW4NfUd3LPs7vw+sPMnJdNXnY0SG3rHNz0rxBCTCQSgBHdWgbA4eug\nwJxHvbsRqyGL75/0DbXOJUNn5EB7DREl0m8hfmIfMP8YnYJM3C5prHqt9i1eqnmNsBIm35SHK+jG\nG+x9ytQT9PDonieoczcwN3cWF80+D4Bp1nIumnUuVY6DtPramJM7s8f3xgMwb7hnEFDlOMCuln3q\n12dMO5X1004bcCEGROvLYOCs3Vjyh71PAvBO3SYum3Nh0rlAOMB7dVtYXryEfa1VAJRYiof0/K98\ncBiH0895q6dz0doKquuizVwdzvETpAohRKpM+gAsGA6qjxs8jeSZcnD42plmnaK2KQBYUbyU9+q3\nYHcc6Lf+J7HuKxxRCIUj6HXHP9P70It72Xmghd9+4zS0KVqu3+kJDnxRmu1prSQYCWLQ6llRvJQt\njR/2Gcy8fvht9rVVsbDAxucWfDrpnFajZX7+3D5fx6SLBWC9FOEfc9UDUJ5ZSiAc4OMVZ2ExWAY1\nfrPehFajxRVwDer6sUCr0RJRImqX+0Sv1r7FhkP/5pXaN/CFfGg1Wk4uXzmk5293BdAAn/jYLHRa\nLfnxDJgz+d6/s7OOGaVWppdYj/u9CCHEWDfpA7CGhLqhencj5ZmlhJUwBd02FD6pdAXv1W9hd8u+\n/gOwWAYsw6DDHwzjC4TJMh9/ALZpTwMAHl+ILLPhuJ8nUYerK+MQiShotWOvD1Ozt5W8jFzuXPt9\nNBoNe1orcfh7r9Oq7jwMwBdPuAJzrMXEYKkZsG7B3famj3ip5jUAblx2DbkZ/ff96k6r0WI1ZNEZ\nC8CaPC3oNDoKzGNzo+pgOKhmRms6DiedC4SDvHvsfbQaLZ0BJwBry1YP+Z50uANYLQZ02ui/hzxr\nPADr+n1savfyhw2VADx6y/rjezNCCDEOTMoArM3n4HDnUcoyS6h3N6jH3zqykecOvAREa30SxWti\nEtsi9CaeAbNaDPg7wtGvUxA4eXzB1AVgCQ1iO9wB9YNwrAiEA7T7O7DlzVHbHFgMZurcDT2mgCNK\nhCPOo5RYioYcfEHXVKEvIQPmDnp4ZPfj6teJNWBDkW3MotHbwqa6LfzV/izFliL+Z/U3k67xBD3U\ndB5mQf68QU1tjpR6T6PaJ63V18aWuo/Q1mWx4chzam3ddM1SDtQE0Zi8BAILYMHQXqPT7acgu+tn\nZDLqsWTo2V3dxob3a1m3fAp1LV3/vqRJqxBiIptUAVhEifBX+3NsrNsMwDTrlKRsVmKGpaBbn6dM\nfXTqyRVIDsASA4JOd0AtcLdajLR0+FK2EtLt678J6VB0JBTfO5z+MReAxft3FVkK1WOW2P33hLxJ\nxd/N3la8IR+LCoYYDcRk6Ixo0KhTkEedddy99bfq+fl5c487CMgyZnHEVcfjlX8DohnWQDiAMaF5\n6au1b/Ha4bdYP+00PjH3ouN6nVSIt+o4pfwkNh7bwh8rH0eJaNBou+oFqz7MJceYg7cjzMajjfzX\n2lnkZ5sG9fyBYBivP0xOZvIfEQsq8thmb+Zvbx1kw+bDLJrV9e+uwx0gNyt1v5vv72mg3RXgvNXT\nB3V9/N+yOWNS/W9SCDFKJlUbir2tdjbWbaY8s5QsQyZtPofaXPXSORdw5fxPqddmG5PrTww6Axk6\nI+6EDNhHzXv46pu3UN1RS1O7l2/es5E3th+Lfr8l+kEznEL8xGJ5tzc1dVuKotDuTpjycYy9XmDx\nfl5F/5+99w6M467z/l+zvUmr3iVbkuV17yWJSypJIKQDISQQ4A4OCPDAPdyF3HEccM9xx+UOwo92\nAS4hBySBkAJphHTbcYntuBdZltV73d53fn/MzuysdiWtim3Z2ddf0pbZ2d3Zmff3U94flWVETtzy\nwBV0Jz22xyNFMKtyKqb1WhpBg0lnJBDvVjw6dIKYGMOqs3Dfui/zyaV3Tmu7kHwM1dtrERFTOmnb\n4gPGX+/YTqurnZHA6HlpkpDrvrTeUoJNq9D5StCgI9SylMhQGeHuWsSQmfs+toY7r24gJorsONyT\n8fZd8ahrrjVZUH3hlmU8+KXN3LRpPh5/mN3HEp9PR//s1c+JosjPnzvO7984nbHx670/2Ma9P9g2\na/uQJUuWLGreUwKsM15UfVP99ZRZS/CF/Qz5RxAQuLJqM5dVrOevlt1Nla2ChjQdcza9FY+qE++J\nRmlI9Gvtb9E37CMWv3DqdRqK8qRUy0ysKNTizROYuQALhqM0dToJhWOKQJQ70eYSciSyyJSIhuTF\nGyLGFoiPhqT/842Tz+kcD5PWpETAZPH3tXX3UpNbpQi/6aB+7vqy1UCisF8mohqv9MC+H/ONnd/l\n1yd+T0ycXCTExBhPNT3Hv73zIJ6wl2NDJ/GFp9d16YzXdh0/7UVwlfFPm+/l0du+zwcdW6kJbCXS\n6aChyk5pgYWl86XvZSpGvnLa225LHl0kCAK5VgO3bKnjqjXJNiGdMxRgvcM+TrSNIIpiUmpzNNt1\nmSVLljnAeyq2Lht1llqKydHbEBHp9HRhN+YqxpprSlawpmRF2udb9VZ6vH30+wZwBl2KdYFW0OKL\npwhv2VLLxiWlvHtKeq2ZjCPyqdKOXv/0U5DBUJRfPH+cI2eGCMebBO68ZiG/fP44h88M0ff7Q6xz\nFLNl5fSiSLON3JmqV6Xq5ILv0TGDs2VBpu5YnSpmnUkZyN3vG0QjaCg0TTxqKBMsqpq0Kpv02Y4V\nYKNBJ3lGO/NyqjgUNwDe07sfraDhrsUfZjxEUeQ3J55kT+9+AL7x9ncJx8JcO+9Kbq5//5T31RmP\nLPb0RqkptVGUZ8Zk1HHz5lpu3lxLY/uIMrMxJy7e3b5kH7neYR+Hm4d437qqlLStIsCs48+O/OjV\nDXj8YZyeEI0do/TP0CH/f/98kpPtoyyZn08slogqDrkCygJpPOaqhcxktPW6qS6xzcnGmixZsiTz\nnoqA9fr6pU40U4Hi4h2ORTKOntj0VsKxMD87/AgPHniIUNzlvN8/iC9eL1Kab6E034JJLwm6mUTA\n1HVf3hlEwE53O3n31AA5Fj25Fj3zSnNYv6iEmlIb/SN+jpwZ4onXm3hpT5uSKjqfyFEhvcpt3h4X\nYM5QcgRMFmB5MxRggUgAURTp9w9QZCqY1Ok+E9S2GaXxerYh1TxR2fIh32hnU+UlgCQ0Sy0l7OzZ\nSyg6/nfe4mpjT+9+RdiFY9Jj5fq5qeKKf66RgIH6ytTuRkdNvtIEYtBrMRq0uMfYmfzzw+/wxGtN\nnOpI7VaVzVZzJxBgOq2Gz928jK98RDK67R+ZmQDzxNP2x1tHONme2KehDIxf1Z3CF4JvHsCJ1mG+\n/au9/OYvjed7V7JkyZIB75kImCiK9PsGKDYXotVok+bYFZgyE2DW+HP6fYPoNTrCcaHQ5+3Ha5CE\ni8UkfaRGQ1yATWElfeTMEI+9coq6CjvXrKtK8hSbSQRMvvjdtKmWLSvKEUXQaASuWF2JRtNNOByj\nvd/Dk28085e9HTzw+ctm5F02UyKi9L51msThKQus0WB6ATbdTkWQOiFFRLq9vXjDPubnZlakPRkb\ny9byavtbfGLxHZh1ZnSCVrFxAKmjNipGyTPaWVKwkE8uuZM6+3xeaPkLfb5+nEHXuI70ne5uAK6q\n3kKfb4D9fQcZDAxj0EzeKStFggVKVE0OzpAbPUb8opYFaQTYWHLMetxj6hLl6Go6Y9VDzZIwrK+Y\n/Hsy6rXYbYYZz4gMhqPk2Qzce+tyhlwBguEoj7x4kiHn+ALs1X0dVBbb0KoiSNGYiE479yNKZ3qk\n38KbB7v5xPWLzvPeZMmSZTLeMwLsra6d+CMBHPmSKad6jl2eKTM/I5vKhPOq6q1sqtjAM6df4MDA\nEWWWoCXeMWWcRgRsf2M/fSN++kb8HDw9yB1XLVDum0kEbCQ+a68g14ggCMjZoS0rKtiyooKXdrfR\nHq+3cXpCuH3h89oZKUfAdIJagKWmIJtHWzk50oRVZ0Gvnb5Fh06QvqvvvvMDQDJenQ0qbGX8+Mrv\nKem4HEMO7pCHE63DdA16WbhQuj3PZEcQBKVOLF95r6PjCrDueDF/ha2MjeVrubJ6M1/f8Z20o4+C\n4SiI0qIgGovy7d0PACTtmyvoQhOVOhrnl08uknIsBtr73IpVhEclxsbWhrl8IU60jlBbnktJfmZG\ntsV5Zs50uYhEY5xsG6Gs0EKRfWo2I6FwDJNBS32lnfpKO13xOrChcWZPdg16eezVJgD+6oZEV204\nMjMz5XOF2l6mucuJRiNQmm/GYpod+5osWbLMLnP/rDJLvNTyKmadmQ/UXgMkF0hnWu9jVQmwWnsN\nheYCxa7CGZYiG2MjYIFQInJ1tGWIr/xox7gr+54hH4IAt26twx+M8NRbzcp9M+mClJ3GC3LSWwZc\ntqyMhio7JXLjwHmuf1EEmCoCZtGZ0Wt0OFUC7Pvv/hRgRuILEp5v+cY8PtRwE9fPv3pG21OjroXK\nNeTgCrl54IkDPPZqE/t6jgCkGJrKC4KRMfVuaro9PQgIlMXHAZkmGP79Dz/fzZd+KHXzHR9OpKd6\nff2AVHPni/iJBg2YDFqK7JNbS+RY9ERjIv6gdKyc7kzs61gBduDUADFRZMPizEcXleSZiYkiP33m\nKN///SH++eG9dA1MrSg/GI4qCyGAwrjz/pAz/e9vf2O/8vef9yTMaNXjxeYy6pTtv/56P//y6D7+\n4/EDRGMXxv5nyfJe4z0hwKKxKJ6wl0pbGZW2ciB5kPCSAkdG28k1JmwFGvLqpNviVgPe+IBiebWZ\nY5ZqXVzehHD62bPHcHlDvPxOstO4TM+Qj5I8M9dvqEGrEZJqbEY9oWnXoshO4+NFtew2I/ffvZYV\n9VK0JTRnBFji4ikIAvmmPIb8UlebuttvbGH+VLlm3uXcs+SjfPvS+7iyejMm3dmJ/uUabdJ700bQ\nlZ/hta43yDPaWVuSPNxbFmTpRgKBlE7v9vZRYilSxKdOo0MjaNIOFR9xB4lERbyBMLt69im3Nw6f\nBqQaRoCg10BViS2jkVdKIb4/xLArwK9VdUdjBdj+eEPK2oXFk25XpqJI+n0ePC3tmz8YYX/jwERP\nSUIURYLhKAZD4hgyGXTkWPTjFvert9+l6poMRy6Mgvy+ET9Wk457b12OQSed2tv7PLx9pHeSZ2bJ\nkuV88J5IQXoj0gXBpk9EvdTRrPHSPGNZU7KScCzC2pKVioO6LMB8US9gwmKUTvgl+VI0qU/lsyXX\nlag7smQ8/jAef5j6ilz0Og0VRdYkH6S2PjePv9rEnddM3Rh0xBXEbNRNaihpiEcLQuHzu2IOx1Jr\nwEBKDR70HcUZciWJkzsdt83o9fKMdjaUrZnRNjJBG5OOGUEfRFfRjElj4W/XfJ78MTWIsgDr9w2k\ndYP3RwL4I37q7fOV26SB8caUFKQ6BX6ovZXDA8ew6i34wn5ean2VebnVNDtbAIi6Cqiel5ntRo5F\nWmAMjPr5/evNjLiDfOTKBew53kfngIfDzUOsqC/EFwhzonWEeaU5k3YeqrlqTSUleWbyc4xoNAL/\n8ui+pBTbZESiMUSRpAgYQGmBheYuJ5FojCffaGbUE+Tztyyjf8RHR7+HhdV5KU0E4QsgAhaOxBgc\n9TOvLIe1jmJqyy+hb8TPA48f4FjLMBuXlKZ8FlmyZDm/vCciYLJ7vc2QiHqVW0u5tHw9X1j56Yy3\nY9aZuKJqU1L6UhZg/pgXvU6DXied5MxGHbkWfVJaQG4Nj6YRYL1DklArL5T2saYk8Rr/8tcbqSyy\n8ur+zilFASLRGB5/mGF3QBl8PBEGvXQ4BM/zij8ipqYgASri0csuT6/i1/XhhTezOd5BONcJ+aWo\nkcbiRtBGyaM8ZeICJATYzp69fPGN+/j27v/Ap/KfkztBx3Z+GrWGFAEmme6K6Ocd57HO/0FE5PYF\nN3KH41Z8ET8/OvhzXm17C4Coq5CKQiuZkBsXYN//3SE6BzxcuaaS6zZUK3WLf3pbEnWHmoeIxkTW\nODKPfoEUrVq3qIT6SruSEp2KAAvGFxFyJEimNN+MKErRolf2dbD3ZD+RaEyJ0m1aVpYy8utCEGC/\nf/000ZhIQ5V07BTkmlhUk4fVpGPvyX7+7qc7L4j3kSXLe4mLSoCFoqG0Bpby/EZ156NG0HD34g+z\ntHBm3UJyWjKETynAlykpsDDoDCjO23IELN14IjlSVlIgRQly44aVNrOeyiIrd1wtXdjUhpKT8bvX\nT/PlH27HH4wq9V0TIa+QQ7M0Pmm6pCvCB5T08c7uPTx6/AkASsxFXDBEJBFc0BBPQYfSfyc2vTVp\nLmS/b1Apuofxvc9M2oSjv/JYTwjB5EVX2g4hEyuMV7CudDVbKi/hk0s+iklrwh32UKAph7Ap49E/\n6jqxxfPy+Vg8MrtoXj4l+WZ6h3yIosi78QXDmimkH8diNevRagSc3swNVOXIn9EwJgIWbwKQffoA\nWnvdnGyTol4r6gtTUvUXgnDZe7IPu00ytJURBEGJanv8YUY8WQPaLFnmEheNAPNHAnxz17/zdNPz\nKffJAsyqz2x1PxXkCFhE8CsF+DKl8ULisW3vzjQnwsH4Y4rjnV5Xr6liUU0eX/voKgDlwjiaJgog\niiL9I76UC8Vr+zuVvzOxFpBP1uc9ApamCB+g0ioJsIMDR5XB0WorhblOLCiJFo8oeYEF3Ma0dX2C\nIPDVNZ/nHzZ8lfWlUmpUXec2ngAz6oxJRfjhaJiTQ6fRWOMeX/3z2LPdpNQErS1dxXc3f4Pvbfln\nlsY+AECebXyfLjWrFxZx7fpqakptfPoDi9FqEqeS0nwLvmAEtz/Mqc5RCnONVBRm1v2YDk3cLV89\nw3Qy5EaSdClIgG0Hu5Xbvvvr/Rw5M0Su1YDdZlQmWsjMdQEWjcVw+8KU5ltS3u9166uVvyeaABCN\nxXj4hRP89x+P8vWHdiWdozz+sGJlMx7hSJSn3mqmbwrTEbJkea9z0QiwxpHTuEMeZbaeGjkFmXMW\nBJhFZ0YraIlqgikCrCR+su8bkaIBcqt+upXoYLwwuChPukgX5Jr4+4+toaZUEniyAEsn3n789BG+\n/tBuXtrTlnS7XpV+aaie3OtMTtec7xqwdEX4AEXmAm6p/wA31V3PrQtuYEvlpbPiWH+u0HlLiQwl\nLC76+gSeeO10WhFWZ59Hpa2cVSXLgOSC/PG8z4xaI5FYhGgsSjgW4Vu7/4OXh3+PrqwVgL++6hK0\nGoFX9nUkvaZNb8XllT7zsaOCxkOr0fDRqxv41qc2UDima7Isftyfah/F7QtTU5oz7YHmMrlWA05v\n5o0o4wmwmlIptZ/OjLWqWDo/jLWOmetdkC5vGJH0UwauXlelDB9P588m0zXgZceRHt450U//iJ8d\nR3pweUOEwlF+/NRhvvbTnew8Ov7sz5ff6eCFXW38/DlpmkNbrzup/jVLlouRiRYnLT0unt1+ZsLn\nXzRF+MeHpC6sdJ1jnniHom0Gc/3GQxAEcgw2hvVBLMbk2pFSpRDfT0Moqqyk5Y5G9UVpwBlAAApz\n01sAWE06dFpBee6r+ztZUVeI1aznQJNUD9XWmzyo2qDTKK85rzQnZZtjUVKQ570LMopG0CSl4UD6\nrN8374rzs1OzgMsTIdy5Al2hFIEqthTyyr4O6itz2bC4NO1zZJGVFAELyRGw5KimbEURiAZpGmlW\nniNHwJaWzWetI8o7J/o50+1KcryXo0t268w7QEvjafS9JyVbh5oMjr3JsFsNtPW68QejKQuddMjH\nsGFsBCzfwnc/ewm9wz6OtwzzqipKLP/2bt1axy+eO85aRzH7GwfmfARsNL4oSyeetRoN9RX2pMel\nY+xUg2e3t/DUW8kXj7/s7eCyZeVJt0VjMY6eGWbXMemY7h2Wmhm+8+heEOGS5eXcdXVDRt9ZliwX\nGvc/tAtvIMIv77sypXv8e4+9Sygc4zO3rRzn2RdJBEwURU4MnwKkkSqvt2/jv/b/RImkyClI21mI\ngAFYtFYEXTCleFeuN+kf9uNSzc0LR2JJY4YABp1+8nKM4xo+CoKA3WrA6Q1yqmOUx19t4lu/2kvP\nkFe1DUmJN3WM8KuXTuANRLCZ9dz3sdVJ0bDxUIrwz7cAEyMp6ceLAac3hM1kZF3pKvKNedx1hfTD\n7BwYv65PPYQ8Eouwt/cA7fEob2oRviSePCEPp0aTL552gx2zzszm5fE6uqPJ1gSjHun4zeQ4mQw5\nAibXWakbSqaLnBr9zqN7eeDxA+w+1svP/3Rs3GM1EQFLfT9lBRZWLShi49Jk0StHmS9ZUspDX7tc\nGToejp7730NMFPnWw+/wu9ebJn2s3JwwXv2eXNM2UQRMPj8trytk8/JyjHoti2qSo+bpUpiPvtTI\nD/9wmJ54E5E/GOXBJw8hilBeZGXXkR7+PI7tTpYsFzLhSFS5jr+4qy0l/Z5JJumiuMr1+QYYjs/Y\nC8ciPHX6eeX2XEMOvV5pJa7ugpxNDIIJQRvDYklWwIoVxagvZcaiyxtSBNuwK8CwK8jCqonrtOw2\nI229btr7pIheMBSlU2VVMegM8Ngrp5JW9asainDU5Gf0PoxzxIYiGouiFy78QzMUjvLM9jNcu76G\n/BwjLm+I/Fwj9yz5KAKCYsg7MkF9Ta4hBwEBZ8jFzu53+N2pZwGpiURtpQJg1MVFyp7/VKJhMnJn\n5ZL5BditBvae7Oeuaxcqq7ZRTyijTtlMqK+0c+XqSnYd60UbE6nNYPzQZBTEo1P9I376R/ycaJN+\n75ctL2NZbaqNjNwFOZH1gtqY+IZL5/GBS+YB0mJHr9MqYjR8Hn4Pw64A7f0e2vs93HFVw4SPlcsS\nxht0LguwCSNg8fPT5asqWLOwmE/HJwE8v7OVV/Z1YDXp6R32EYkmpgL0DHl5+0gPlUVWPnLVAk51\njPLCrjZG3EGuWF3JHVct4L7/3sVr+zswGbRsWFRCod0043R0liznE1EUeWFXm9JcB/D0tjM8ve0M\n/++vN1JRZE26byIu/KscCXfvsV1g8mgZgDJrqVIwP9vokU7kelNyVEuxohj2K6Ipz2ZgNOii2zVI\nRZEVURT5r98dBCav07JbDURjIkdbhpXbXj/QBUjdkh5/mFf3d1JZbFNcw2W7gExQfMDmQBH+bAzD\nPt+89m4nL7/TwdGWYb55zzp8wQjzrTlKalW+MA5PEJnQarTkGGyMBl00O1sBKDIVsKlyY0qK1qhN\nfNeBaJBic6EynDvfJIkgjUZgWW0Bbx/tpbPfQ01pDqFwFH8wQp51dn4fOq2Gj1/n4CNXLiAQimDP\nsLNyIq5YVcmz2yVri+s2VPPyOx0ADLuCHG4eoqbUlhQBCo1TA6ZGFiwLKu3cfnl9yv2KAMvwZDqb\nqM1s03nBqZHTx+NFwHKtegQhcZyJoogowlNvNbOqoYiGqjxc8RSkbLAr88HL5nPDpfP4xXPH6R32\n4fSElJq/53a2IgK3bKljeV0hteW56LUaltYWKOntT31wKT/83QH+8GYzT73ZTI5Fz2duXMrS2gun\ndjNLFjXtfR6e3pa+tmvH4R4+ctWCjJtRLooUZItTKj5fWbws5b5yaynXz7+a/7vm8ykXrNlCG5NO\nfAZDqnApyZesKA42SemYdYtKMK18i0daf0JMjNE95KNnyMfCKjs3b66d8HXy4hfsI2eki6pGEOiK\np6+W1yVOaPd+aKWSBkpn+joec6UIPxy7OFKQkXjtUNeAl+H4/EH1RVKv05Jj0U+YGgJpRNJwYIQT\nQ6ew6ix869L7uHbelSmPGw1ItV5mnZkvr/osn1vxKeU+dcfkknhq7VhcyMuu71MxSs0Eo0E7K+IL\npCL8f7pnHZ+5cQl3XNXA38W7g/ee7OfBJw/x/d8dUh7b3ufmf144oezDeGg0Aj/926383Z2r096v\nj0d6zkcNmOwLCKSUKwRCEfpVBe5yZ/R4ETCtRkN5oZXTnU6++uMdfPmH23n7SA8v7Wnn337zLpBI\nQaZbsAmCoBy3cgPRoNPPnuN9VBXbWL1Q6kS2mfXctLk2qbbwmg01fPvTGwAQAZcvzE+eOUJ7X3K9\napYsFwpyyj/XkjoC7+DpQWlSSfz3q57nnI5ZVSQOh2Ojw+F4M83tNzocjr0Oh2OXw+H4TPw2jcPh\n+O/4bW86HI6J93QC5C7HmpyqlPuurt7KjXXXYdFPvw1+MoSYdNLSGFLnNTpq8oiJIsdaR8gpH+Rt\nzS8RNJIoahw+zdG4mNq8omLSgb/qAv2FVXa++9mNbF5eztVrqpRC5+V1hSxfUMRXPryCNQuLuW5D\n9XibS0GxoZgTNWAXfgRMbbgrTzWoLE5Og+fnGBl2Bybs7ruh7lq0ggZvxMc8e/W40ZDhYWkbFRoH\njoIFlFoS3lu5BrUAy0erEXh2RwsHmgaUY3DxvMxS1eeL2vJcLl0qdZHKKUlZRHaq5kT+cUeL8vfY\nIvyxmAy6ceve9PH6sXPVBRmNxXjitSZ+9NRhZSg4SGJHzU/iXc+DTj/DrgCHTg+i0wop3ahqPnfz\nUsXKwxuI8MLuRMe0KIp4lAhYehEnL/5G3UH+uKOFv//ZLkQRrlhdMenoquoSW9KxFQxF+eXzxyd8\nTpYscxV3fLFy++X1/OLvrwCkSPvqhiJ6h33c/9BufvbsUYCkxUg6Zi3M4HA4/h74OOAdc7se+AGw\nPn7f2w6H40/AJsDU2Nh4qcPhuAT4L+Dm6bz2aMCDXjCkjHQBqMqpnM4m0xITRTr6PFSX2BRXewAx\nHFfCulSfolu21JJrMfDsjjOI1YeT7nv8+J8YOrQcjWBgWd3kIXm1mWppgYWSfItSqzEw6qexfZSP\nxBV3Sb6FL962fErvby51QY41Yb0QUdf9HY/XLFWPKUgvyDHR3ufBF4xgNaUfKr600MEXV32GX5/4\nPetKVo37eroBB6GRKJ3BaticHMm0q9LvdpuRe29bzkN/PMaPnz6CXqtBIBEZuxAYb64pJAyPLVFP\ngwAAIABJREFUAYwzaCrIJAI2WXpwKrT0uPnL3o6U24ecAeaXJQT0sVbpWPr7n+1SbrtlS+2Eo8aq\nim3848fX8rNnj9La606a0LG/cYCWHhc6rYDZmF6wyp93W5+bF3YlxJsjA3sbgLJCi1K3t7S2gKMt\nw7h8oSmVSGTJcr7pHvQq3d05VgNajYZ//5tLMBl0hCMx9DqNMq2myG6ifpL619mMgDUD6YbyLQZO\nNzY2jjQ2NoaAHcBWYDPwZ4DGxsbdwLrpvvCIz03Qr8UWLUu5r9xaMt3NprC/cYBv/2ov33l0L9FY\n4qQcjQswUZMqwLQaDe9bX82Pv7IVkz75BDkU7kds2M4Hr7Vl5EBerBJgcoG/+r4vf2iFknqcDoZz\nvOIfj8hFkoJUj87Zfkgy/qwuThZg+fHCd3UzRToW5NXy7UvvY2P52nEfU5GfR3SwilF3mHAkituf\neP2xpq2rFhTx1Y+sZEGlHa1Ww9pFJSldvHMZg16rHK8g1Z3JUcSB0URTwxQy8CnIY8Ui4/weXN4Q\nX/3x2zz3dkva+6eK3GV429Y6Ni5JdGgOOsdv0qgstvKJ6xx88NL5k26/OM/M/XenHj8/ffYoTm+I\nSHR8MSkLMLX4AqnTMRN0KqPeBfFmo+Yu53gPz5JlTvKNX+7hcLOUMZAXDyX5FnKtBgrtJj538zK+\n/ekNLKrJ4xPXOSZdnM3aVa6xsfEph8MxP81duYD6l+YG7GlujzocDl1jY2NywYOK/LitQ3FxcrFw\nRAhCxEr3YIT/ueUBDved4FDvCTQIlJfOXlrFe1gyImzv8zDgDrN8gVT7IMRMoAWjVUzZNzU6rQ7i\nWcpwdy02XQ7h0qNsc/2RO3M3YjNOfDIz2xIphoZ5hRO+1kT3jYecMhMRpvX82SIiRjAbjWd9H872\n9n1xQ881jhLebewnz2ZkQW2yc/9V62t4490ufvNKEw9+9XJMkwxMnwiNKtpz/8/38EFVTWFlcRHF\nhcnvt7g4h01rJk5Rn8/jYDLUEb5INIbBbGTv8V7a4vVFuVYDa5eVj5tWmwxvRPo9aPXapM+hrcfF\n7149hVYr4PKGeGZ7C5++ZcUM3olELL5yrq/J51M3L6ez383nv/c6pzqd3H2D9Ppju6nv/fAqltdP\nbxrEpz64lNYeJyajjpd2trJ4fsG433d+gZUPXDZES7cLjUZg2BVg/eJSSksm73AtLs7hxsvreWVf\nB1/6yCpK8y08u72F7mE/187C8eULhHngN/u5cXMdaxbN3oL7XDOXf2vnm7n42dRW51OcJuBRXJzD\nysWpwaB0nIswgwtQf3o5wGia2zUTiS+AkREfxcU5DAwkCjhD0RCiEEWMGNh9pJsty0pZaF7Ewlpp\nxqP6sTOlbzARpdh/vIcye9x3yS1CATj9rglfTxDVaUsjd62/ll5DKS+2vMKOpgOsLR3fsG0sJu34\n723sZzQVdFoNHl9wVj+3qRCNRaUurahwVvdhJp9RpgyN+snPMfKFm5fy6r5ccm2GlNeszDdz7fpq\n/rK3g2/87G1E4PqNNaxaMPWL6kg8UrJ+UQnvnhrgf188gWFhEdq8QbQB05Tf77n4jGbCnVc3cLx1\nmLwcI28d7Gb3oU5+8oxUe7F2YTH33racgDdIYAozJNV4XFKazuUOKJ/D4eZBXtzdzqmOUeVxRr12\nVj6nzrhw1MRiDAy4MQqwqCaPA6cGOHC8h6piW1LUSK/TUJKTekxNxpc/tIKWbhebl5awZZkUabts\nSSlmw8Tv40Nb61Jum+y15WPIptfw87+7Aq1GwB+UTvNN7SOz8rm9ebCLfSf62Heij4e/ftWMt3c+\nmOu/tfPJXPlswmPcAcKBEAMDk5frTCQez0UX5AmgweFwFDgcDgNS+nEX8DbwAYB4DdiRyTYUjcV4\n+o3TnOrrYl/vAQC8YanbQIzoaeocJRCaUMPNCLVb9Gv7O/n8999i26FuAl7pY/RFJm49FdWDwsMG\nVtQXsSw+DHxf38GMx6xAcjpyNjHqNee1CzIiSgf0hV6EL4qiUuOi0Qhcu6GGS5akXxXdfnk95YUW\nGjtGOdUxyk+ePsI7J/rSPnYi5GP/49c5lNmfoaY13Jz32bPmgXc+ed/6av7Ph1cqhsd/iDu3y914\nM2WsDYXTG+LBJw9zqmMUq0nH5aulpp9oTEyZHwnSmJJ//MVu3ng3dTxaOmQ/r1xVN+PWVRUAHImn\nPeTxPh++op4ffHHTpAXw6Vi1oIhbt9YlpUcqi6xKY8PZQqfVIAgCZqMOo0E7afdvpqgngEzlHJol\ny1SQO9llJmvwyYSzJsAcDsfHHA7HZxsbG8PA3wIvIwmvhxsbG7uAZ4CAw+HYiVSk/9XJtrm/cYBH\nnj/G/3f0Rzxy/HG6Pb1KByQRPZGoyMn20Yk3MgPkWY45Fj2jnhDBUJS9J/txu6UTmSwGZU4MneL/\nvvVNer19UqeR6v6PX70CvU5DdU4leUY7hweP8Wr7W5Puw9/esZK7r104YcHtTDDotee1C1KeXnCh\nG7EGQlFC4VjSxXQ89DoNV62pSvr/kZdOTslCRH5NAJNBi0N2MRc1lORmVih9oVJVIonLvmEfZqOO\n733u0pRmh+mgG2PE2j2Y6C+qLrHxtbvXstZRTCQaY9vB7pSL/4GmAXqGfEm+fRORztF+YZX03Z2O\nR74a4+e3huo8LOM0bcx1BEEg32acFQHmD0aULl5I9k/LkmU2GZxkIP10mNWrXGNjYytwSfzvx1S3\nPwc8N+axMeBzU9n+odPSD00UpBPiv77zfRbmSV1/ekyEgaNnhjJO3/SP+smzGjJWsm5fGJ1W4Au3\nLKN7yMfL77RzutNJMBzFLGrxRZLbxR898QSBaIC/tL3JhxpuJComhM2CUqlWQSNo+NyKT/Hvex/k\n2NDJSWcdLqsthJkv7sclx6ynb8Q/q91dUyExiPvCFmC+uHeT1ZzZ+9i8vJzG9hEuXVbG7mN97D3Z\nj9MbmrDbbyyBUBSdVkCn1bC8rpA/vd1KbXkOyy5y08ul8wv4zl9tIBCMUpBrnLXFicWoQ6sRFAf5\nXtXYr49eLbnTy9Yw//tyI3argdULE9YfB05JM1onMtpV4/SGMOg0mFTeZQW5JvJzjDR3OYlEYxw8\nPUiu1UDdLEwXOJ/k5xjpHfYRjkSVZofp8PCLJxhSRSaaOp2UF1580d4s558hVTNMeeHs2FpdUEas\nkgFp8irz1OhpAMrs0kpRvUqdCKc3xNf/exf/8fiBjF/f7QuRYzHgqMnnytWVLKzKU6JFOtGAP5ws\nwLSCdGKJilFcoeQuN7Urf3VOBXZDLkPxcUrnk7wcI8FwVImmzBZHB0/ws0OPEIqmeqWpuVgEWCAs\nR6Myex9Gg5Yv3Lqc1Q3FykigYffUVlzBcFSxEqmvtPOdT2/g/rvXTuovd6EjCAJVxTYWVNlnNY2m\n02qoLLLS3u8hGosp8w7/6Z51iu+eOsLZ1JmozwqGohxrlSJfcqTH4w8r9U/pcHqC5FoNKQsfR43k\nVP/ZB97E7QuzpqFoWqnHuURBBvMpJyMWEzl6ZpjSfDP//Mn1ADR1nr0MSJb3NrIAu/fW5XwzfrzN\nlAvqzOzxhxEM/rT35Rit2Mz6pNb/iZA/zDPdrpTiuoleX92qX1eZWIXqBWNKBEx23veGfbhCkkv5\n5spL+McNf5tSk1NoLmAkMEo0dn49uOShxxPNjZsOPzv8CEeHTnB86OSEj0sIsAu7BkyuxzJN4MQ+\nHvnxGYUjrql9B4FQJEnwVZXYLnrxdbaZV5ZDOBKje9CnpLfUVi/y7wUSaUKAoy1Din+YyxvCH4zw\n5R9u5z+fSL/gG/UEx4143nFVA5evqsBi1LGwyj4r9W3nm7xZEGBdg16C4SgN1XlUl9gwG7Wc7sxa\nW2Q5OzjjzTwVRZYJR5xNhQvr7KwPYC9Kv4LMM9qlOYsZCgfZzRbIqEYjHIkRCEWTZqVVqTydjBoT\nvohfqQMRRRFPPOrV5xug1SUZLC7Mq6PCllqMXWQuQERkJHh+V3By/cmoO8ix1mGefPP0rNaEqdOw\nYxFFkV+f+D1wEUTA5HqsafxQCzKYEZn2NYNRTOMYaWaZHvPLpUVWa6+LrkEveTZDUorzkiVlfPL9\niygvtNDS46Jv2MeJthEeflEahSSnKmQfuJYed9qC/Zd2tyOKcNmy1HOD3WrgnusX8eOvbuXrd6/N\nyDNwriMf44eah9h9rHda22julsRWfUUuGo1AfYWdvhH/rC8es2QBcHml7E0mdb2ZckEJMNOyXSxs\nSH9hLjOVY7cZ8QejGQkGl0qAdfRNbIIJiQJ8dQSsQlVrYNaZiIkxglFpu66Qm1BMes5IYJR9fdLA\n7QV5qUN/AQpNUp3OoF8Sg86gi58deoRuT+rJKRwN86tjT3ByuCnlvpmiCDBPiN+9dpqXdrfzi+dm\nb2zI2FRs8n1uWlztAAQiF/ZJNKgqiJ8qsjnryBRSkKIoEghFp/V6WcZnfpmUatzfOMCIO0hdRfJo\nEY1GYOvKCm68bD7RmMj9P9/NA48fIBCMcunSMlY1SPWoL6pG/wynMVY92jKE2ahj0/Lys/hu5g75\n8VTxn/e08/PnjictiDOlPX7ero2L5JXx2t9tB7tnaS+zZEng9oXQagQss9gAd0EJMEEfpCcmpbDC\nPfOJBRKpgGAwkQ5wZrACUhsaDmXQ3SBPN1ePzrCYEl+E1SDtiz+ehhwKSELKojMjItLl6aHUUoLd\nmN4TpNAsCbChuAB7s/Ntjg6d4McHf5Hy2JMjTezte5cfqe4bDozw8NHfMugfSnn8VEgIsCBDcR8k\nObUiiiK/frlx3Enw4yGnFUESluMhi08A7VkanH6uUFKQ0/ixFsRTkGPbniciHIkRE8WMa86yZEZV\nsQ2tRlDcrxuq0s9227iklA9dUc/iefmsqC/kvrvW8JkblyjfpUtlYdM1pk5VFEUGnQFK8s3vmZRx\n1ZiZqNNJRQ6OSucneSrIpuVlWIw6Xt3fqSyYs2SZLVy+EDkW/aw2p11wv/bBoDSHKdK1gHC7AwC9\nv4QtKyuSojeTofb0ykSAbY+74K9uSN9hadFJJwG5Dswfkbb5vnlX8LdrvsCi/Aaurt4y7vZLzNJ2\n+/ySG7YsVJwhN74x9hZdqqjYYyef4umm5znYf4T9/Yf4Q9OfpPfkH+bho7/FPUHEKR15OZLA7Oj3\n4A9KURyvP4woiuw61ssbB7p4YWcrPUOZNTsAjKpEl/rv4cAIPd4+9vTs5+RwE30+6b1X2yr4YN11\nSdvYfbyXnz57NGkE1FxGjoBNp1bAbjWg1Qic6hyla9DLwGj6ukc1gRlE3LKMj16nSSo1aKhKb+kh\nCAIfuGQef3fnar7y4ZUsjM9IrK/MxWzUctOm+dx76zIAfvbsUe5/aJciEpzeEOFIjOIJhmlfbBSO\naZaYjgAbcgWwmfXKosNk0HHDZfPw+MM8s31qi8QsWUA6Dlt60gcJ3L7wrM8uvaCWywatQXK+Dxkh\npiM2WkKwaRX/+Ve3YdYZFQH22Cun+MdPrFOMFNOhTkEOTRJpiERj7G/spyTfzKJ5yaONPnvTErYd\n7KY0NwhO8MU7IeUUmlFrpD5vPl9a/ZkJX6PUKrWv93klgdnpSYTRuzw9NOQnUpdtrsTA3re79wCw\noWwNAEcGT3C8/xT/ffgxer19FJjyuWXBByZ8bTVyAfiB04PKbdGYyJAzwBOvnUZA6kN9fX8Xd127\nMKNtDqu6O51BJ+FomFZXO786/gSjwdSi2Zvq358yu/Dnf5LSoDdcMo95ZXNvLMVYZiKINBqBmzbX\n8sy2M/zTL6Xv9z8+fylF9mTz3abOUapLbPxxRwu7j0nGrdOpOcsyMUV2kzLeaF7Z1PzF5pfl8qOv\nbEUjSON7BKRZq30jfk51jLJmYTGD8dmVRWfJXHkuMjaKMFUBJkcNK8ZYTly7vppnt7fQ0j1+pD1L\nlnT0j/r5t1/vxxeM8KP/syXJnioUdwZQ14DPBhdUBGxxvuS9E/PLPzqBdWUrMOsk0WCPF8e193s4\n2jJxKs4dT0FWFFkZdgUmdFDuG/ETisRYWJ2XcuK4ZEkZf/+xNdiMUgpSjoDJtWBGbWaK2aa3YtNb\n6fUNEIqG6PEmnNC9Y7orZQG2tmQl9XapI+qYqrvwoX2/pdc7dSd1kD7D92+sUSI4Ms9sP4PHH+bW\nrXVoNQItvZmf4Lo8Pcrf7e4u/mnnv/HggYeSxNfyoiXK30Xm8X2rfIELI7Uw04jUjZfN5673JQRu\n33DyMdDe5+bffvMu//LoPl5+p0Pp/vVNYHOQZXpcsaaSsgIL3/zkOrSaqZ8yZcuIglwTX71jpTJE\nvD0u6o7H7SreSxEwgLWOhGfasDtI37CPp95qzrCGN0w4EqNozGem1WjIseiTMhxZskyG2xfi+08c\nVKLRY90U5OMpZxYL8OECi4AtK1rCocFjiAFJgH39rjXKyBVIrs8Ye8ECaZTR3pP9LK8rxOULYzJo\nKSuw0D3opbnbRY5Fr4w1UdM1IKXxqorGN/iz6MYKsEQELFPKrCU0j7by3JmXiYkx8o15jARHk1KQ\n/kgAZ8jFkgIHn152Fzu736HZ2YI37MOsM3FJ2Tre6NyhPN4dnloKEuDDVy6gOM/MW4e6Kckzs/dk\nP7uO9WHQaXjf+mr2nOija9BLTBQn9SOKxCK81r4NvUaHVW9lNOhEEEwUmgqIilGWFjpYUuCgJreK\nI4NSlCvfNP4A9QeeOMjK+kK0Wg2Do36+cc+6OVk3kxBg0/+JXb22Cr1Ow69eOpkSIZDD5LI3VZHd\nxKAzoBQkZ5k9ls4v4LufvWRWtrWstpDvfe4yvvqjHbT3edh2qJtnd7QA760IGMBf3bCYhko7T7x+\nmhF3gF++cJzmLum4vv3y9M1Kbb1uXt7brkR8C9OIVptZn/b8nyXLeDy97Qz9o35yrQZc3hBOTyhp\n3J+cMXtPpyDXlKygJ9RNxbzF9FfraaiyJ0Wk7DYj3/rUer71yN60dTOHTg8pqSwBaZ6iXIvw3V/v\nR0Aqpv34dY6kVvPOuACrnGC8iUUvfVm7ut+h29ODVS8JMtNUBJilhNOjLbzesZ0cg42b6q/n0eNP\nJI04kovsiy2F0nOspcp9haYCPrTwJq5fspUXjr3Btq5d7O87xOri5SwrWpzxfgBcsbqSK1ZX8qe3\nW9gbD64tqyvEqNdSVWyja8DLkDMw6UzKFmc7I8FRNldewqXl6+jy9LC2ZCUmnSnFbX9l0VKC0RD6\nSSwoDjUnopt9I34qJxDG54tgWIpEGWdYkyX7Qo2MaSzp7Jdq8DYtK8PpC/H5m5fRO+yjYg5+FlmS\nsVsN2K0GGjtGk+pN5uJxfDYxGXRcsbqSJ14/Td+InzPxtOGbB7pYtaCI+srUhofHXj2VZHhrt6Ve\nEHMsBtr7PITC0VmZ15fl4sbtC7HtUDflhRa2rKjg92+cTrEykbt0ZzsFeUEJMJPOyOfW3y1NRk+/\nQFIEQX8aAdbZn4gG1VfZuXJ1ZVK4W6MR2H28j0K7idsvr6d/1M+jL52kI/48dTHuWOQi/GZnK83O\nVtaWrATAqMtcMW8sX0ufb4Ba+zwuLV+PJyxdZNUCbEAWYPGi/TJLiXJfYTxyVJtfzR2OW9nffwhv\n2MfPDj/CDy7/VwzaqR88atsNeaSNfKHoHPBMKsA63NIg4oa8Oubn1jA/t0a5b2w697Mr7km7jbHp\n4RsunUdbr5ujLcP0DfvGvXCJokhrr5vdx/oYdgf4qxsWn7Muwdkqis9X+bKp6eh3Iwhw93UOpdA/\nG/26cFizsJg3DnThD8IVqyq44dL5Z30Y9lzEoNeSazUoBqpajYAvGOHhF0/wr59JjToOuwLk5xj5\n2kdX8fzOVjYuLk15TE78nOXxhynICrAskzDsCiKKsLS2QFnwjk1BDsatY2bbg++CEmCZYDbqyLXo\n6R9JHcraHe/cUxc0N6vcq6/fWMPr73ay82gvt26pY8+xXk60jaDVCCyqySN3AvVba5/HpoqNtLra\n6fL04ApJ9R1TSUHW2efzlTWJ8ZiiV+r480VUAswnFcfLdVIWvZlNFRt4u/sd6vLmJ21P7aXV5mpP\nKuTPFKsp1XhWnrWWSZi/3d0FQE1O5ZRfW2ZsTciK+kLqynMVAaamf8THj54+wqoFRexrHEi6/7Kl\nZUmz+s4msyXA0jmGi6JIx4CX0vzZc2TOcm75+HUObt1ax7ArQEWRdU6m0c8Vf/3BxRxoGsTlDXHb\n1jp++8opjreO4A2Ek84/MVFk1BNiXlkO5YVWPnPj0rTbkxeNbl/4PSlqs0wN2eHebjUkrKy8yQve\n1l65CWd2G8AuOgEGUJJv4Uy3i0g0ppzYYqJIz5APg16T9KNUp2zqynNxOkrYcbiHtj43zfGQ+H/e\nu0kp8B8PvUbHxxbdzjOnX6DL06PYP2RahJ8OSzyN6VXNmBwcEwED+NiiD3FL/Q2YdMliT+06f3q0\nZVoCLMl4tkjaH9mqYuxBmo52dxcmrYkic2HGrxkIRTjQNMjGJaVoBAGvP7mwvKrYpgiSnjEC7Nnt\nLXQNeOka8KIRBDYsLqEk38zzO9to7XWfNQHW2D5CLCayeH5B/D1In/1MUyBWkw69TpOUgvQFI/iD\nERzV6S0RslwY2Mz6pN/Xe5VltYUsq02cH2rLczneOkJrj5ulqkHyHn+YaExUosLjIaeJsl5gWTLB\nGbetyrUaFJf7sVZWrT1uDHrNrA3hlrkol13FeWZiosiwyt/rPx8/QEe/h3ybMalwXF3rVVliY158\nyG7fsI/mLifFeaZJxZcagya++grLAmz6IUvFW2xMClJAUIxblcfqzcrsSZnbG25U/j7jbGM6qC8Q\nlvhqVP48Jpu7GYqG6PcNUJVTnrJvE/HEa6f5xXPHeX5nKwBeVeejxajDbNRRkm9GEFDm88moT7p1\nFbl87uZlXLO2GoDndrbyyr4OxnK0ZYgfPnlI6UobSzgSnbBNXhRFvvfYAR544qByWyAUwWjQznho\nsiAI5NuMDLsCRKJSRFTel7w0cwOzZLnQkVPpZ8b4Mclp+MnSQLZ4ofR03PWzXLyc6Xal+EhuP9TN\nIy9JRc52a8LKSjZq/8veDr75P3voGvRQU5IzrS7oibgoBZjsjCzXgYmiyMl2acaioyY1anDDpfNY\nUGWnyG6iOE+Kju092Y83EElbCDoRhnjES67bmokA02q0mHUmvJFkAZZntE9aqA5wVfUWfnzl97Dq\nLYoz/0R4wt6U0UfpZgvKAsw1iQDr9fUjIlJhTZ1vN+Hz4qlieUanNyBFwN5/SQ3/9cVNAOi0kkFm\nS7eLQWfie+5Q1fnJY2TUs7sefzV1fNPOo70cah7iW4/s5VsPv6PMmAM41THKN365h/sf2pUk6NWo\nV0vynL9gKDprnlx1Fbm4fWF+9NQRAqGIciHKT1OAnCXLhY4swFrHCjCPvPCY+LiXa8Dc2QhYFuCP\nO1r47m/28//+dx8PvyDNaBVFkYFRvyK+QLqumQxaDHqNssjdcbiHzgEvogjL68a3R5ouF6cAixeG\nD4zELSHiNUSFuSbuuKoh5fG3X17PP9y9Fo0gKEXlB5qkWqvLlk5NPBhUKUcBISOhNBEWnUURc6Fo\nmNGgk2JLejf+dAiCQIExj+HA6IReZ22uDu7b/m3+be+DBCIJoVGSZ+aWLbXcf/ca5Ta9TovFqJs0\nAtYbN5VVd2pmgtxaPhQvfPTGT6R5VmNSzdO166uJxkRe3ScV+o+4g0n7pPYIum5DtfK3HEmSCUek\n/2tKbbT3e3jzgFS31j/q54HHDzAwGiAUifHd3+znkMqgVqatNxE58wUiBEIRhlyBWYtQfeJ6B8vq\nCjhyZojndrYq6ciLYShzlixjyc8xYrcZkjpE+0Z8PPjkYWDy415OQWaHcmcBSYDJTR67jvXhC0R4\n9M+N3Pffu5IeZ7cZEASBsnwLvcM+orEYg04/lcVWfvLVrdy4qXbW9+2iFGDFYyJgsomaoyYvKeWY\nDvVFu6rYllSDkAlqAWbUGmc8N8qqNyspyET9V+b1VCD5aoVj4aRuSjWiKPJU03MAxMRYUs2ZIAjc\ntKk2ZQSL3WZQcufjIZvJlk9RgNmtyYXnsrmo1Zz83a1fJHWAyjYhcpPF8rpC1i+SxlPJ3HFVA5uW\nS2J6cMwwZH98+/fftRatRlDSmqfaR4nGRK5cIzUQDLuC/PAPh1NqS9SpS7cvxIm2ESJRcdZWTCaD\njntvXY5WI3CybTQRAcumILNcpNSW5TLqCSnngKfebFbum0yAVRbbMOq17DzSm2IoneW9xdjFNsAX\nH9zGtkOpA9tl4V5dYiMciXGm20UgFKXYbp5UN0yXi1KAKSnIeARsKiZqel0iwnL5qoopCyi5Bgxm\nVoAvY9FZCMXChKNhlQXFVAWYJJ5GgqNp7291ddDsbFX+D8Umr52wWw14/GFe2NWadPuu7r0cG2oE\nEuOUpirAorFEpC4mikqqc2zBskGvxWbWJwry46akly0r4/O3LEv50ciRUfm4kPEFIhh0GowGLUV5\nZnqHfMREUXH7v2xpmdIdA/DiruR6uuNtiVFLbl+YI2ek1OmKuswjlZNh1GupLrHR3udWFhbZGrAs\nFyu15VL5wCMvneC3r5zi3VNS5NluM1BdOvE4KJtZzzXrqnB6Q+w92X/W9zXL3GW8iQi15Tl8/a41\nrFE1Zcn1XdVxv88D8WNu7LSF2eSiFGA5Zj0mgzYlApapiZos4DYumZpwAJK8tqbiATYesqGrL+Jn\nwC8dEFMVYAVxATYcSBZgwXiR/NGhE0nbDUUnF2Byd98z+/fTNNQKQLenl9+cfJKfHvofmkbOcHyo\nkUpbOTmGqc3PU69avviDbTy9TRqsW1qQ2oGSn2NkyBmgrdetCLDxOlVK4lMOdh/v5b9+u58nXpPq\nwXzBiCLWygsseAMR/uXRfbzxrpSKrCq28fW71/LNT66jMNfIq/s7lXqwjn4PpzoSn6uv7Dc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"text/plain": [
"<matplotlib.figure.Figure at 0x11c499978>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"test[['Returns', 'Strategy']].cumsum().apply(np.exp).plot(figsize=(10, 6));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Neural Networks from Scratch"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Using TensorFlow"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The Data"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = pd.read_csv('http://hilpisch.com/eurusd.csv', index_col=0,\n",
" parse_dates=True)"
]
},
{
"cell_type": "code",
"execution_count": 97,
"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>Time</th>\n",
" <th>OpenBid</th>\n",
" <th>HighBid</th>\n",
" <th>LowBid</th>\n",
" <th>CloseBid</th>\n",
" <th>OpenAsk</th>\n",
" <th>HighAsk</th>\n",
" <th>LowAsk</th>\n",
" <th>CloseAsk</th>\n",
" <th>TotalTicks</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",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2017-05-27</th>\n",
" <td>21:00:00</td>\n",
" <td>1.11784</td>\n",
" <td>1.11784</td>\n",
" <td>1.11677</td>\n",
" <td>1.11681</td>\n",
" <td>1.11808</td>\n",
" <td>1.11808</td>\n",
" <td>1.11743</td>\n",
" <td>1.11788</td>\n",
" <td>48</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-28</th>\n",
" <td>21:00:00</td>\n",
" <td>1.11681</td>\n",
" <td>1.11894</td>\n",
" <td>1.11613</td>\n",
" <td>1.11622</td>\n",
" <td>1.11788</td>\n",
" <td>1.11906</td>\n",
" <td>1.11626</td>\n",
" <td>1.11660</td>\n",
" <td>119787</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-29</th>\n",
" <td>21:00:00</td>\n",
" <td>1.11622</td>\n",
" <td>1.12048</td>\n",
" <td>1.11087</td>\n",
" <td>1.11842</td>\n",
" <td>1.11660</td>\n",
" <td>1.12064</td>\n",
" <td>1.11100</td>\n",
" <td>1.11882</td>\n",
" <td>285165</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-30</th>\n",
" <td>21:00:00</td>\n",
" <td>1.11842</td>\n",
" <td>1.12517</td>\n",
" <td>1.11638</td>\n",
" <td>1.12418</td>\n",
" <td>1.11882</td>\n",
" <td>1.12530</td>\n",
" <td>1.11651</td>\n",
" <td>1.12434</td>\n",
" <td>293536</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-31</th>\n",
" <td>21:00:00</td>\n",
" <td>1.12418</td>\n",
" <td>1.12562</td>\n",
" <td>1.11997</td>\n",
" <td>1.12103</td>\n",
" <td>1.12434</td>\n",
" <td>1.12574</td>\n",
" <td>1.12027</td>\n",
" <td>1.12133</td>\n",
" <td>235113</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Time OpenBid HighBid LowBid CloseBid OpenAsk HighAsk \\\n",
"Date \n",
"2017-05-27 21:00:00 1.11784 1.11784 1.11677 1.11681 1.11808 1.11808 \n",
"2017-05-28 21:00:00 1.11681 1.11894 1.11613 1.11622 1.11788 1.11906 \n",
"2017-05-29 21:00:00 1.11622 1.12048 1.11087 1.11842 1.11660 1.12064 \n",
"2017-05-30 21:00:00 1.11842 1.12517 1.11638 1.12418 1.11882 1.12530 \n",
"2017-05-31 21:00:00 1.12418 1.12562 1.11997 1.12103 1.12434 1.12574 \n",
"\n",
" LowAsk CloseAsk TotalTicks \n",
"Date \n",
"2017-05-27 1.11743 1.11788 48 \n",
"2017-05-28 1.11626 1.11660 119787 \n",
"2017-05-29 1.11100 1.11882 285165 \n",
"2017-05-30 1.11651 1.12434 293536 \n",
"2017-05-31 1.12027 1.12133 235113 "
]
},
"execution_count": 97,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.tail()"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = data[['CloseAsk', 'CloseBid']]"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Mid'] = data.mean(axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Returns'] = np.log(data['Mid'] / data['Mid'].shift(1))"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = data[data.index > '2014-1-1']"
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"cols = []\n",
"lags = 5\n",
"for lag in range(1, lags+1):\n",
" col = 'Lag_%d' % lag\n",
" data[col] = np.sign(data['Returns'].shift(lag))\n",
" cols.append(col)"
]
},
{
"cell_type": "code",
"execution_count": 103,
"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>Returns</th>\n",
" <th>Lag_1</th>\n",
" <th>Lag_2</th>\n",
" <th>Lag_3</th>\n",
" <th>Lag_4</th>\n",
" <th>Lag_5</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",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2014-01-02</th>\n",
" <td>1.35931</td>\n",
" <td>1.35886</td>\n",
" <td>1.359085</td>\n",
" <td>-0.005884</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-04</th>\n",
" <td>1.35965</td>\n",
" <td>1.35905</td>\n",
" <td>1.359350</td>\n",
" <td>0.000195</td>\n",
" <td>-1.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-05</th>\n",
" <td>1.36286</td>\n",
" <td>1.36270</td>\n",
" <td>1.362780</td>\n",
" <td>0.002520</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-06</th>\n",
" <td>1.36163</td>\n",
" <td>1.36148</td>\n",
" <td>1.361555</td>\n",
" <td>-0.000899</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-07</th>\n",
" <td>1.35755</td>\n",
" <td>1.35748</td>\n",
" <td>1.357515</td>\n",
" <td>-0.002972</td>\n",
" <td>-1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-08</th>\n",
" <td>1.36068</td>\n",
" <td>1.36069</td>\n",
" <td>1.360685</td>\n",
" <td>0.002332</td>\n",
" <td>-1.0</td>\n",
" <td>-1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</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>0.004513</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>-1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</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>0.000739</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>-1.0</td>\n",
" <td>1.0</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>-0.000537</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>-1.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CloseAsk CloseBid Mid Returns Lag_1 Lag_2 Lag_3 \\\n",
"Date \n",
"2014-01-02 1.35931 1.35886 1.359085 -0.005884 NaN NaN NaN \n",
"2014-01-04 1.35965 1.35905 1.359350 0.000195 -1.0 NaN NaN \n",
"2014-01-05 1.36286 1.36270 1.362780 0.002520 1.0 -1.0 NaN \n",
"2014-01-06 1.36163 1.36148 1.361555 -0.000899 1.0 1.0 -1.0 \n",
"2014-01-07 1.35755 1.35748 1.357515 -0.002972 -1.0 1.0 1.0 \n",
"2014-01-08 1.36068 1.36069 1.360685 0.002332 -1.0 -1.0 1.0 \n",
"2014-01-09 1.36701 1.36667 1.366840 0.004513 1.0 -1.0 -1.0 \n",
"2014-01-11 1.36815 1.36755 1.367850 0.000739 1.0 1.0 -1.0 \n",
"2014-01-12 1.36718 1.36705 1.367115 -0.000537 1.0 1.0 1.0 \n",
"\n",
" Lag_4 Lag_5 \n",
"Date \n",
"2014-01-02 NaN NaN \n",
"2014-01-04 NaN NaN \n",
"2014-01-05 NaN NaN \n",
"2014-01-06 NaN NaN \n",
"2014-01-07 -1.0 NaN \n",
"2014-01-08 1.0 -1.0 \n",
"2014-01-09 1.0 1.0 \n",
"2014-01-11 -1.0 1.0 \n",
"2014-01-12 -1.0 -1.0 "
]
},
"execution_count": 103,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head(9)"
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data.dropna(inplace=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Importing and Verbosity"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import tensorflow as tf"
]
},
{
"cell_type": "code",
"execution_count": 106,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"tf.logging.set_verbosity(tf.logging.ERROR)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Features and Labels"
]
},
{
"cell_type": "code",
"execution_count": 107,
"metadata": {},
"outputs": [],
"source": [
"fc = tf.contrib.layers.real_valued_column('lags', dimension=lags)"
]
},
{
"cell_type": "code",
"execution_count": 108,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def get_data():\n",
" fc = {'lags': tf.constant(np.where(data[cols].values > 0, 1, 0))}\n",
" la = tf.constant(np.where(data['Returns'].values > 0, 1, 0))\n",
" return fc, la"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The DNN Classifier Model"
]
},
{
"cell_type": "code",
"execution_count": 109,
"metadata": {},
"outputs": [],
"source": [
"model = tf.contrib.learn.DNNClassifier(hidden_units=[50, 50],\n",
" feature_columns=[fc])"
]
},
{
"cell_type": "code",
"execution_count": 110,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"DNNClassifier(params={'head': <tensorflow.contrib.learn.python.learn.estimators.head._BinaryLogisticHead object at 0x125d1c2b0>, 'hidden_units': [50, 50], 'feature_columns': (_RealValuedColumn(column_name='lags', dimension=5, default_value=None, dtype=tf.float32, normalizer=None),), 'optimizer': None, 'activation_fn': <function relu at 0x122dfea60>, 'dropout': None, 'gradient_clip_norm': None, 'embedding_lr_multipliers': None, 'input_layer_min_slice_size': None})"
]
},
"execution_count": 110,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### The Deep Learning"
]
},
{
"cell_type": "code",
"execution_count": 111,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 7.29 s, sys: 199 ms, total: 7.49 s\n",
"Wall time: 7.44 s\n"
]
},
{
"data": {
"text/plain": [
"DNNClassifier(params={'head': <tensorflow.contrib.learn.python.learn.estimators.head._BinaryLogisticHead object at 0x125d1c2b0>, 'hidden_units': [50, 50], 'feature_columns': (_RealValuedColumn(column_name='lags', dimension=5, default_value=None, dtype=tf.float32, normalizer=None),), 'optimizer': None, 'activation_fn': <function relu at 0x122dfea60>, 'dropout': None, 'gradient_clip_norm': None, 'embedding_lr_multipliers': None, 'input_layer_min_slice_size': None})"
]
},
"execution_count": 111,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%time model.fit(input_fn=get_data, steps=50)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Prediction"
]
},
{
"cell_type": "code",
"execution_count": 112,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[0, 0, 0, 0, 0, 0, 0, 0, 0, 0]"
]
},
"execution_count": 112,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(model.predict(input_fn=get_data))[:10]"
]
},
{
"cell_type": "code",
"execution_count": 113,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'accuracy': 0.54028434,\n",
" 'accuracy/baseline_label_mean': 0.46919432,\n",
" 'accuracy/threshold_0.500000_mean': 0.54028434,\n",
" 'auc': 0.54560971,\n",
" 'global_step': 50,\n",
" 'labels/actual_label_mean': 0.46919432,\n",
" 'labels/prediction_mean': 0.46711037,\n",
" 'loss': 0.68857849,\n",
" 'precision/positive_threshold_0.500000_mean': 0.53676468,\n",
" 'recall/positive_threshold_0.500000_mean': 0.14747475}"
]
},
"execution_count": 113,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model.evaluate(input_fn=get_data, steps=1)"
]
},
{
"cell_type": "code",
"execution_count": 114,
"metadata": {},
"outputs": [],
"source": [
"data['Prediction'] = np.where(np.array(list(model.predict(input_fn=get_data))) > 0,\n",
" 1, -1)"
]
},
{
"cell_type": "code",
"execution_count": 115,
"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>Returns</th>\n",
" <th>Lag_1</th>\n",
" <th>Lag_2</th>\n",
" <th>Lag_3</th>\n",
" <th>Lag_4</th>\n",
" <th>Lag_5</th>\n",
" <th>Prediction</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",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2014-01-08</th>\n",
" <td>1.36068</td>\n",
" <td>1.36069</td>\n",
" <td>1.360685</td>\n",
" <td>0.002332</td>\n",
" <td>-1.0</td>\n",
" <td>-1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>-1</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>0.004513</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>-1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1</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>0.000739</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>-1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1</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>-0.000537</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>-1.0</td>\n",
" <td>-1</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>0.000574</td>\n",
" <td>-1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>-1.0</td>\n",
" <td>-1</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CloseAsk CloseBid Mid Returns Lag_1 Lag_2 Lag_3 \\\n",
"Date \n",
"2014-01-08 1.36068 1.36069 1.360685 0.002332 -1.0 -1.0 1.0 \n",
"2014-01-09 1.36701 1.36667 1.366840 0.004513 1.0 -1.0 -1.0 \n",
"2014-01-11 1.36815 1.36755 1.367850 0.000739 1.0 1.0 -1.0 \n",
"2014-01-12 1.36718 1.36705 1.367115 -0.000537 1.0 1.0 1.0 \n",
"2014-01-13 1.36797 1.36783 1.367900 0.000574 -1.0 1.0 1.0 \n",
"\n",
" Lag_4 Lag_5 Prediction \n",
"Date \n",
"2014-01-08 1.0 -1.0 -1 \n",
"2014-01-09 1.0 1.0 -1 \n",
"2014-01-11 -1.0 1.0 -1 \n",
"2014-01-12 -1.0 -1.0 -1 \n",
"2014-01-13 1.0 -1.0 -1 "
]
},
"execution_count": 115,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Backtesting"
]
},
{
"cell_type": "code",
"execution_count": 116,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Strategy'] = data['Prediction'] * data['Returns']"
]
},
{
"cell_type": "code",
"execution_count": 117,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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21O2K6DlagosUknr5Qagn0zOmcNO8H5NsTKTGWq9Oh8XqI+tTlxQMnHpTP/nP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\npd7HpDcxJd1Mnb0eDRqqbbURn1/JYi3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