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Created October 12, 2017 09:15
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ODSC Europe 2017 (London)

Algorithmic Trading

With Machine & Deep Learning

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

London, 12. October 2017

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

Resources

Quote

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

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

Slides

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

Python

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

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

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

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

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

Agenda

We are going to cover the following topics:

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

Data

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

Cloud

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

Books

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

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

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"# Algorithmic Trading\n",
"\n",
"## With Machine & Deep Learning"
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"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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"<img src=\"http://hilpisch.com/images/finaince_visual_low.png\" width=50% align=left>"
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"## The Imports"
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"## The Data"
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" <td>1.34326</td>\n",
" <td>1.34356</td>\n",
" <td>1.33196</td>\n",
" <td>1.33676</td>\n",
" <td>1.34344</td>\n",
" <td>1.34374</td>\n",
" <td>1.33214</td>\n",
" <td>1.33694</td>\n",
" <td>8238</td>\n",
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"3 6/6/2007 21:00:00 1.35026 1.35116 1.34216 1.34326 1.35044 1.35134 \n",
"4 6/7/2007 21:00:00 1.34326 1.34356 1.33196 1.33676 1.34344 1.34374 \n",
"\n",
" LowAsk CloseAsk TotalTicks \n",
"0 1.34334 1.34904 5259 \n",
"1 1.34894 1.35244 6110 \n",
"2 1.34864 1.35044 5875 \n",
"3 1.34234 1.34344 7361 \n",
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" <th>2007-06-06</th>\n",
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" <td>1.34216</td>\n",
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" <th>2007-06-07</th>\n",
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" <td>1.34326</td>\n",
" <td>1.34356</td>\n",
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" Time OpenBid HighBid LowBid CloseBid OpenAsk HighAsk \\\n",
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"2007-06-03 21:00:00 1.34456 1.34986 1.34316 1.34886 1.34474 1.35004 \n",
"2007-06-04 21:00:00 1.34886 1.35536 1.34876 1.35226 1.34904 1.35554 \n",
"2007-06-05 21:00:00 1.35226 1.35376 1.34846 1.35026 1.35244 1.35394 \n",
"2007-06-06 21:00:00 1.35026 1.35116 1.34216 1.34326 1.35044 1.35134 \n",
"2007-06-07 21:00:00 1.34326 1.34356 1.33196 1.33676 1.34344 1.34374 \n",
"\n",
" LowAsk CloseAsk TotalTicks \n",
"Date \n",
"2007-06-03 1.34334 1.34904 5259 \n",
"2007-06-04 1.34894 1.35244 6110 \n",
"2007-06-05 1.34864 1.35044 5875 \n",
"2007-06-06 1.34234 1.34344 7361 \n",
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]
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"execution_count": 8,
"metadata": {
"collapsed": true
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"source": [
"data = data[data.index > '2014-01-01']"
]
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{
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"execution_count": 9,
"metadata": {},
"outputs": [
{
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" <tr>\n",
" <th>2014-01-04</th>\n",
" <td>1.35965</td>\n",
" <td>1.35905</td>\n",
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" <tr>\n",
" <th>2014-01-05</th>\n",
" <td>1.36286</td>\n",
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" <tr>\n",
" <th>2014-01-06</th>\n",
" <td>1.36163</td>\n",
" <td>1.36148</td>\n",
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" <tr>\n",
" <th>2014-01-07</th>\n",
" <td>1.35755</td>\n",
" <td>1.35748</td>\n",
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" CloseAsk CloseBid\n",
"Date \n",
"2014-01-02 1.35931 1.35886\n",
"2014-01-04 1.35965 1.35905\n",
"2014-01-05 1.36286 1.36270\n",
"2014-01-06 1.36163 1.36148\n",
"2014-01-07 1.35755 1.35748"
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"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"DatetimeIndex: 1060 entries, 2014-01-02 to 2017-05-31\n",
"Data columns (total 2 columns):\n",
"CloseAsk 1060 non-null float64\n",
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},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## SMA-Based Strategy"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Formulating a Financial Trading Strategy"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Mid'] = data.mean(axis=1)"
]
},
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"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
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" <th>2017-05-27</th>\n",
" <td>1.11788</td>\n",
" <td>1.11681</td>\n",
" <td>1.117345</td>\n",
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" <tr>\n",
" <th>2017-05-28</th>\n",
" <td>1.11660</td>\n",
" <td>1.11622</td>\n",
" <td>1.116410</td>\n",
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" <tr>\n",
" <th>2017-05-29</th>\n",
" <td>1.11882</td>\n",
" <td>1.11842</td>\n",
" <td>1.118620</td>\n",
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" <tr>\n",
" <th>2017-05-30</th>\n",
" <td>1.12434</td>\n",
" <td>1.12418</td>\n",
" <td>1.124260</td>\n",
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" <tr>\n",
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" <td>1.12133</td>\n",
" <td>1.12103</td>\n",
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"text/plain": [
" 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",
"2017-05-31 1.12133 1.12103 1.121180"
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"source": [
"data.tail()"
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},
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"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"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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" <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>2014-01-02</th>\n",
" <td>1.35931</td>\n",
" <td>1.35886</td>\n",
" <td>1.359085</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>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>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>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",
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" <tr style=\"text-align: right;\">\n",
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" <th>CloseAsk</th>\n",
" <th>CloseBid</th>\n",
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" <th>SMA1</th>\n",
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" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
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" <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",
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],
"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\npLiKAIqiMD43hasvzsURk4LisbOjYjeFdUVh9beOn4jRkUrdhvV4Cg51c7RCCCFEZJPiKsKYDHpC\nxaMJEeKjw+HtwK7odKR+69uEAgFKnnhMNhYVQgghzoEUVxHGaNDhr0si2ZJEXs0hgqFgWP2sY8aR\nuOAy/M5qaj5b2c1RCiGEEJFLiqsIY9Tr8PuD5MQPptHvpqyxIuy+SZctQhcTQ/WH7xNwn30jUiGE\nEEKcToqrCGM06AgBg+OyAcivKQi7r95qJXHBZQQbGuTidiGEEKKTwi6uVFWdqqrqqjMcv1JV1S2q\nqm5WVfWulmM6VVWfVFX1c1VVV6mqmtuFMYt2GPTNX+kg6yAA8jpQXAEkXjIPnc2G8+PlBBobujw+\nIYQQItKFVVypqno38Cxg+cpxPfBH4BJgOnC7qqopwBLAomnadOCXwENdGbRom7Flt/Zkk4N4Uxx7\nq7Wwr7sC0FliSFqwkGBjI8eefIKgz9ddoQohhBARKdyZq3zgiq8e1DQtAIzUNK0WSAb0gBeYAXzU\n0mYjMKVLohVndby48gdCjEkZSYOvkYLaIx0aI3HefKwTJtK4dw/O5R92R5hCCCFExDKE00jTtDdU\nVR3cxjm/qqpXAI8D7wMNQBxQe1KzgKqqBk3T/G19RmJiLAaDPqygHQ57WO36u87kabc1Ty7a42OY\nETuZ9SWbyGs8yLRhYzs0TtIvfsr2H/wI5wfvMeTyBZgdKR2OJVzR8H1GQ44geUYayTNyREOO0Hfy\nDKu4OhtN095UVfVt4AXgRqAOODlDXXuFFYDT2RjWZzkcdioqXJ2MtP/obJ4BXwCA8nIX6cmZxBgs\nrDz4OfE1o5g2KrNDYyV940rK/vEc+598lozv39HhWMIRDd9nNOQIkmekkTwjRzTkCD2fZ3uF3Dnd\nLaiqapyqqqtVVTVrmhakedYqCKwHFra0mQZ8eS6fI8J3fFlwb6ETjyfEYOMYGgL1/GP3f9iZV9mh\nseKmX4glJ5f6rVuo3/FFd4QrhBBCRJxOFVeqql6vquptmqbVAS8Da1RVXQeEgH8BbwEeVVU3AA8D\nP+mqgEX7gqEQAK+uPMi/Vx6kLn8wwYY4DCklPPreBkIt58Oh6HSk3fgd0Os59tQTNOze1U1RCyGE\nEJEj7GVBTdMOA9NaXr9y0vGngafP0OX75xqc6LgY84mvdNPeMgD03oGYrHuxjFtHWf2FpNuTwx7P\nnDmQzB+vr+XFAAAgAElEQVTeRckTf6P0H88x+H/vRx8b2+VxCyGEEJFCNhGNMHMnD+TWRSNPOZZt\nVgm6rQD8edtjlDWUd2hM69hxJC1aTKC2lup3l3VZrEIIIUQkkuIqwthijFw4dsApx8YPGcA0wzfx\nFQ3HHWzgL9v/TmFdUYfGTVxwGYbkZGo+W4mvuqorQxZCCCEiihRXES473c6iadnYLEb8x4biLRhN\ng6+Rx3Y8S01T7dkHaKEzGkn+2hJCfj9VMnslhBBCtEmKqwg1/7zmx9/cvmQMOp3SeqF7oGIQi7Iv\npdHvZktpx+4AjJt2AaYBGdStXYPzk4+7PGYhhBAiEkhxFaGuuTiXx38yE0dCDABN3kDruVHxY1FQ\n2FW5p0NjKno9A35wB/r4BCpee4Wm4o4tLQohhBDRQIqrCKXTKafcORhvNbW+9noMDI0fTEHtEeq8\nHdtwzZyRSfrNt0AoRPmrr3RoawchhBAiGkhxFSUum5bdusHo/f/aTv4+MyFCaNV57fard/vw+gKn\nHLOOGYd13Hjc+/dR/8X2botZCCGE6I+kuIoSBr2Oq2bntL73OBMBOODMb7NPIBjkzkfW8tt/bDnt\nnOOa60Cvp/L1Vwl6vV0fsBBCCNFPSXEVRZLjLK2vQw12zEos28t34fZ7zti+yRsEoLS68bTlP1N6\nOolz5+GrrODoow9LgSWEEEK0kOIqikwYlsL/3DiZX1w/EdAxIDQaT8DDhpLNZ2zv859YDswvqaOw\n9NTrs5K/cQXWCRNx79+Hc8VH3Rm6EEII0W9IcRVFdIpCTkZ86wyWrSEHg87AhpLNZ7ww3esPtr7+\nwz+38bsXtuB0NZ0Yz2gi/dbb0NlsOJd/SMAV+U9dF0IIIc5GiqsoFG9rvnOwvl5hTPIIShvLKW+s\nOK3dycXVcXUNpy7/6WNiSF60mKDbTdUH73VPwEIIIUQ/IsVVFDIa9KTEWygqr2dYQvNF7gV1R05r\nd/Ky4HH1bt9px+Jnz8GQnEztZyvxVVV2fcBCCCFEPyLFVZQaMiCOerePBF0aAPk1h09r88Rbu087\n5mo8/cJ1ndFIypIrCPn9lD77NIGGhi6PVwghhOgvpLiKUgMdVgAUTzx2k41dlXsIBAP4A0E+216M\nx+unsrb5LsKcjDjQe9GnHebjyrf45Mhqth8uJO/oiWcT2qdOxzblPNwHD1D20j96JSchhBCiLzCc\nvYmIRPE2MwD1jX4mpY5jdfEGNGceB/YaeWf9YXYXVLe2zcmFxiE7qPFVUxqAt/IKCPmNeHbM4vm7\n5wOg6HQMuO0HFFVXU79tK+78PGJycnslNyGEEKI3ycxVlIpreRxOXYOXiY5xAOyu2keZ0w3Ajrzm\na6cUSwPrPW9Q46vGX5rNYN+FxBpiUQw+jIMOnDKmotORctU1AFS8/iqh4OkXxAshhBCRToqrKHX8\nWYO1DV6y4wahU3QUuUowG/UAHN+ZwZBaSJAA38y9Et+RkZhdQ7gp6wcEG23oU49wtK7slHFjh6vY\nJk/Bk59H+csvEfTJ5qJCCCGiixRXUSoutrm4WrGliKfe3kdqjIOj9SW4v7LTus5Wi4KOaZmT0OsU\nXI1e8ooa8B3NRVFgReGq08ZOu+lmTBkZ1K5exZH//R1+V11PpCSEEEL0CVJcRal4mwlbjBGALw5W\nEnIl0RTwUuo7fKKREkSJdRGnS8akN2KPNZJfUsdHm48QdKYRbLKwu3oPwdCpy3/6WCuDfvkr4mfO\nwltylKMPP0SgsbEHsxNCCCF6jxRXUcqg13H/96YxZUQqAIV7kwCoMGitbZSYehRdELviAE7MdgEk\n2i0EXUl4Ah5KG8pPG18fG0vqDd8hfuYsmo4UUvLE3+QaLCGEEFFBiqsoZrUYmTQsBYCQ207AlYAS\nV4EuoRwMXszqVgDGpg8FwGBo/nUZmZXI7AkZBOuSAVhVvO6M4yuKQuq3b8I6fgLu/fso+ftjcg2W\nEEKIiCfFVZRLtJtbXwfKswAwD99OzKRPUYzNhdD0rLEAXHfJMHIHxjP//CxiLUYCVQNIMKSwvmQz\nxa6SM46v6HSk3/JfxIwYScMX26n498vdnJEQQgjRu6S4inLpydbW14GqAfirBmAM2gg2xRB0W7lt\n2O0kxyQCkJMRzz3fnszI7EQcCRYI6cjwTQJgfcmmNj9Db7WSeedPMA/KonbNaqo/fL97kxJCCCF6\nkRRXUS7eauK2r41qeafgyx/PDYN+wB8vuoe/zvsV4wcNPmO/UYOTsJj0lBRYSTQnsK5kE5Xu6jO2\nBdCZTGT88E4MSUlUvvEfyl7+J4H6+q5PSAghhOhlUlwJpo5MQ6core/NJh3xNjNmk77NPga9jkS7\nmfpGP4uGzCMYCrK17It2P8eYnMLA/74bY4qD2s9WUvzwn/E3urssDyGEEKIvkOJKoCgKJuOJX4Xj\nG4mejdVipNHjZ7xjNDpFx56q/WftY0pLZ/B99xM34yKaCg+jPfAgIb+/07ELIYQQfY0UVwIA00kF\nVbjFVazFQCAYQgmayLQN4EhdMb6A76z9FIOBtBu+g3X8BGp27OToY4/iq6jodOxCCCFEXyLFlQDA\nfPLMVTvLgSezWpo3Ia2s9ZBAOv5QgCOuo6e0OVhcw/976nOOlLlOOa7o9Qy47QfEjxtL4+5dFP7u\n19Rt3EAoEDjHTIQQQojeJcWVADo3c2W1GAD40yvb2fZF89LeodrDreer6zw8/tZuypxuXvxIO62/\nzmxm9O9+Q9p3biUUCFD67NMc+u8fc+T++3Bt3XIO2QghhBC9xxBuQ1VVpwIPaJo2+yvHrwN+DPiB\nL4HbNU0Lqqq6HTj+ULkCTdNu7pqQRXcwd6a4anl8ToPHD4Hm7Rq2l+/ikqxZbNpbxtPv7m1t2+Q7\n84yUotMRP+MiYoYNw/nJChp27sRTcIhjTz6O76prSLp0YWdTEkIIIXpFWMWVqqp3AzcADV85HgPc\nB4zVNK1RVdV/A5erqroCUL5aiIm+y2To+AXtSXEnNiDFZ2GAPocjrnz2Vx/k3Q2nbsvgbSmuyp2N\n2GNNxJhP/dUzpaWT9q0b4VtQtDcf11OPULn0dfy1taR8/RvoLJZOZiaEEEL0rHCXBfOBK85wvAm4\nQNO040/lNQAeYDwQq6rqClVVP1VVddq5hyq603kjUom3mRiXk4xOp5y9AzB9dDojsxNb32cGxwOw\nrmQjlbWe1uO6uCrcpjKcriZ++dRGHlm6q91x732nkOeTL4aEJGo+Xs6x554mFAp1IishhBCi5ynh\n/tFSVXUw8KqmaWcslFRV/RGwsOWfMcA04FlgGPAhoGqa1uY9935/IGQwhDdjIvqOnQcq+NVTGwC4\neMpACuKWUeuuw7lxJoT06OLLMQ3fjqLA+MTJbNniI1CTyrsPXnnG8UKhEF/72TsA3H/bVEIvPUHd\n7j3k3nkHaXPn9FheQgghxFm0ORMR9jVXbVFVVQf8CRgOXKlpWkhV1QNAnqZpIeCAqqpVwACgqK1x\nnM7Gtk6dwuGwU1HhOnvDfq6/5JlsNba+PlJSh6cxFY+tAmP2fgK1yZhyd6IoEArBTuc2TLkQ8hv4\n60o/Q/Tj+frsEafk+fz7+1pf1zX6GHzDzdTf+yvyn3gKV52H+BkX9Wh+XaG/fJfnSvKMLJJn5IiG\nHKHn83Q47G2e64q7BZ8CLMCSk5YHbwEeAlBVNQOIA451wWeJPsZs0vPH7zVPZuaX1FF6IJWQ34gh\ntQjzsB0oSgh/+UA82+eSWnsB/vKBoPezoXIVL+59DY/3xGTmNq2cdV+e+DXx+oMYk1PIuONOFJOZ\nsheeo+KN//R4jkIIIURHdGrmSlXV6wEbsBW4FVgLfKqqKsAjwHPAC6qqrgNCwC3tLQmK/i01MfbE\nG7+Zpv1TMKQfxmawUx+ow18yFAJGjuaZ8Qfi8BWpmNWtGJJL2XusgEGx6RwsruHxt3afMu7xi+Bj\nR44i69f3cvSvf8H54fvYxo0nZtjwnkxRCCGECFvYxZWmaYdpvo4KTdNeOelUW7Nf13c+LNGfhRrj\n8R0az69/eCGfbj/KUV09XxysxB8IMmZoEjPHZbBCC3CUVfxx41/40YT/4sX3K08bx+cPtr42OVJJ\nv+W7FN1/H2X/fJHs3/wOxXDOq9pCCCFEl5NNREW3+Pb84STYzFwxcyjxthNbNiRYzUwZkcrYlJH4\nq9IB+KDgYyzmEzczZKc1r2N/dW+smJxc4mfOxltylKOPPEzALQ99FkII0fdIcSW61JABdiarDmZP\nyGw9dvIeWrbY5gvg7VYTvvwJZMXmkF97GBKKW9vMPC8B0/BtrKt9H4//xJYOAI5vXod1wkQa9+2h\n+E9/INjU1L0JCSGEEB0kxZXoUhdPHMgd3xh7yl5ZJ29Kam/Z1d0eYwJgonUOZr2JSusOIMQvrp/I\nxrpP0CdUUOw7yEt7XyMYOrE8qDObyfjBD4mbfiFNRUXUrl3dM4kJIYQQYZLiSnQpg/70bT/irKbW\n17bjxVXLDNar7xcxNmkcQb0HW2Yppvg6ij0FBOoSSVIy2Fm5hw0lm08ZT9HrcXzzOhSzGefyDwn5\n5V4JIYQQfYcUV6JLjMhKACAjxXrauamj0lpfH3/szfEiC6BwbyKEIJC5kz9vexwA/9FcVC4G4Ivy\nL08bU2+zkTBzNn6nk7rP13ddIkIIIcQ5kuJKdIkfXTmO3958Hllpp2+qZosxcsGY5ovXMx3Nxdfx\nmSuA6lILTQcmY/InYDXEclnGYoKuZHT+GDJtA8irLcAb8J42bsL8S0Gvx/nxcnk8jhBCiD5DiivR\nJWLMhjMWVsfdsmgkD/7gAgYkNxdXVsuJ4qre7SNY62Cs/xs8cNG9TEmdDIDXH2BUkoo/6OdgTcFp\nYxoTE7FPOR9vSQkNX7b/vEIhhBCip0hxJXqETlFIjreceH+Gh0Mn2c0oitK6ZFjX4GNE0jAAtOqD\nZxw3cf4CUBRKn3uappKj3RC5EEII0TFSXIk+I8HevB+W1WLAZNBR7fIwND4bnaIj7wwzVwCW7MGk\n3XQzwYYGyl/5lywPCiGE6HVSXIleMyjVdsr7jJYlQ0VRSIyzUF3XhElvIid+MEdcxZQ3nr6LO0D8\njJnEjhmHe/8+GvfsPmMbIYQQoqdIcSV6za9vmkJCy+7tBr3CkAEnrtlKspupd/vw+gLMyJhKiBBr\nj37e5liOK68CRaHyzaUyeyWEEKJXSXEleo1Br2PG+AzibSYWnJ+F0XBis9GkuOaiy+lqYkLqWOJN\ndjaUbKbR13jGscyDsrBNmkzTkUI8+Xk9Er8QQghxJlJciV71vSvG8fAPZ3DlrJxTjifHNV/8Xl3n\nwaAzMCdrJp5AE58VrWtzrITZcwCoWflx9wUshBBCnIUUV6JPSjpeXLmanx14UeZ0YgwxbCrd3maf\nmBEjMQ8ahGvLZpxSYAkhhOglUlyJPimp5c7BNTtL2JlXiVlvIts+kCpP9WkPcz5OURQy7rgTvd1O\n1VtvEHC7ezJkIYQQApDiSvRRA1NtmIw6DhbX8sjSXfgDQQbYmh+jU9JQ2mY/Y4qDxHkLCHo81K1b\n01PhCiGEEK2kuBJ9UoLNzK9unNL6fvuBCobEZQGwt+pAu33jZ85GMRqpWfkJoWCwW+MUQgghvkqK\nK9FnDXTYuGxac0H15LI9pOqyMeqMbCvb0e52C3qbjbjpF+CrrKBx756eClcIIYQApLgSfZzFeGJ7\nhnuf+4KkUBbl7koK6grb7WefdgEA9du3dmt8QgghxFdJcSX6tPiWTUaPO7I3GYB38j9qd/YqJncY\nensc9V9sl6VBIYQQPUqKK9GnzRg7gBsXqDz245mMGZpE0JVEoMbBwZpDaM62NwtVdDpsk6cQcLlw\nbd7YgxELIYSIdlJciT5Np1OYPTGTWIuB2RMyAfAdzQVgReFn7fZNuvQyFIOByjeWEvR5uz1WIYQQ\nAqS4Ev3IpOEOcjLioDEeNTEXzZlHeWNFm+2NKQ7iZ1+M31lN4969PRipEEKIaCbFlehXEuMshEKQ\nax8OwOG6onbb26ecD0D9F9u6PTYhhBACpLgS/UyC1QRAvM4BwBFXcbvtLUNz0MfH07Bjh1zYLoQQ\nokdIcSX6lcS45rsHjd5EFBSO1LVfXCk6HbYJEwnUu3DnHeyJEIUQQkQ5Ka5Ev5ISHwNAjStAujWV\novoSgqH2Z6RsEycBUL9dlgaFEEJ0PymuRL+SEm8BoLLGTZZ9IN6At92L2gFi1JHoLBYadra/s7sQ\nQgjRFaS4Ev2KI6F55qqy1kOWfSAAhWdZGtQZjcSOGYuvohzvsZJuj1EIIUR0k+JK9CtWiwGLSU9l\nrZusuOZ9r4pcR8/azzZ+IgB1G9Z3a3xCCCGEIdyGqqpOBR7QNG32V45fB/wY8ANfAre3nHoCGA80\nAd/VNK3t7bSFCJOiKKTEW6io9TAgNh2Aow2lZ+1nmzQZw5tJOD9eTvyFMzANyOjuUIUQQkSpsGau\nVFW9G3gWsHzleAxwH3CxpmkXAvHA5cASwKJp2nTgl8BDXRm0iG4p8TE0eQP4fTqSLUkcqz97caUz\nm3F88zoIBHB+8nEPRCmEECJahbssmA9ccYbjTcAFmqY1trw3AB5gBvARgKZpG4Ep5xinEK2OX3dV\nWt1Ihi0Nl68el7f+rP1sEyehj4/HtWUzIb+/u8MUQggRpcJaFtQ07Q1VVQef4XgQKANQVfVHgA34\nGLgGqD2paUBVVYOmaW3+RUtMjMVg0IcVtMNhD6tdfyd5ntnkUel8vLWIwopGctKz+LJyH42GWoY6\nBpy1b8PsmZQsexd94QGSp03tbMgdJt9lZJE8I0s05BkNOULfyTPsa67aoqqqDvgTMBy4UtO0kKqq\ndcDJGeraK6wAnM7G9k63cjjsVFS4OhtuvyF5ti0zyYKiwObdx5g/IAmAvUcLSNNlnrWvYfwUWPYu\nxctXEswZ1amYO0q+y8gieUaWaMgzGnKEns+zvUKuK+4WfIrma7GWnLQ8uB5YCKCq6jSaL3QXoktY\nLUaGZsRxqKSOVEvzbNXOit1h9TUPysKUkUnDrp0EGhq6M0whhBBRqlMzV6qqXk/zEuBW4FZgLfCp\nqqoAjwBvAfNUVd0AKMDNXRKtEC3GDEkm/2gd5aU6hifmcsCZx7GGMgZY09rtpygKcdMvoPKN/+Da\nuoWEWbN7JmAhhBBRI+ziStO0w8C0ltevnHSqrdmv73c+LCHaN2ZIEsvWFbC30MlFE6dxwJnHtrKd\nXD50/ln72qdOo/LNpdSu/oz4i2ai6GS7NyGEEF1H/qqIfikrzYYClFY1MCxhKBDeZqIAxqRk7OdN\npelIITWfruzGKIUQQkQjKa5Ev2Q06EmwmymvcWM32Yg3xVFcH/6jbRzXXo8uJgbn8g8JBdt/8LMQ\nQgjREVJciX7LkRCDs64Jnz/IIHsGNU21Ye13BWCIi8M2aQp+ZzXuvIPdHKkQQohoIsWV6LdSE2II\nAZW1bgbZw3/O4HH285v3uXJt2dQd4QkhhIhSUlyJfsuR2LxTe0WNm0H2gQAcqi0Mu3/siJHo7XHU\nb91CKBDolhiFEEJEHymuRL+V2vIYnKWr8vnPO0506NhTtS/s/opej23KeQRcLhr3h99PCCGEaI8U\nV6LfSm2ZuSquaKCkwovRm0hx/TF8AV/YY8QdXxrc+Hm3xCiEECL6SHEl+q3jD3A+rrEmlmAoSGlj\nedhjWHJyMTpScW3djK+6qqtDFEIIEYWkuBL9ltVyYg9ck0FHoKH5OU9H64+FPYai05G0cBEhn49j\nTz4h2zIIIYQ4Z1JciX5LUZTW1zmZ8YTcHS+uAOJmzMQ2eQqeQ/k07g3vGYVCCCFEW6S4Ev3a8IHx\nQHNxFWxsLq6KO1hcKYpC0qULAahds7prAxRCCBF1OvXgZiH6ip9+cwJNvgCb9pZB0ECw0UaBrhC3\n302MIebsA7QwDx6CedAg6nfuwF9biyE+vhujFkIIEclk5kr0ayajHnusiRnjBgAQqBqAL+hje/mu\nDo2jKApxF82CQIC6Deu7I1QhhBBRQoorEREsJgMjsxMJVGWgoLC5dHuHx4ibOh3FaKR23WpCoVA3\nRCmEECIaSHElIobZqCfkjWGQbSCHagvx+D0d6q+3WrFNOQ9fWRlu2VRUCCFEJ0lxJSKGydj86zw0\nbijBUJC8moIOj5Ewew4AZf96iaDH3aXxCSGEiA5SXImIYTLqAciKHQzAfufBDo8Rk5NL4rwF+MpK\nqVn1WVeGJ4QQIkpIcSUihtnQXFylmjIx6oxo1XmdGidp0WLQ6ajftrUrwxNCCBElpLgSEeP4smAw\noJCbMISShlJqm1wdHkdvsxGrjsBTcAhflTwSRwghRMdIcSUihrllWbDJF2BofDYAxfUlnRrLNnkK\nAPXbZfZKCCFEx0hxJSLG8WuuvL4gKTHJAFS5qzs1lm3iJFAU6rdv67L4hBBCRAcprkTEOL4s6PUH\nSIlJAqDS07llPUN8AjHDhuPOO4i/pqbLYhRCCBH5pLgSEeP4sqDHGyDZ0lxcVbmdnR7PNmkKhELU\nfyGzV12lweNjm1Yum7QKISKaFFciYthjTQDUuJrYfaAeQgpOT+dnnWyTJgNQu3YNoWCwS2KMdk8u\n28Pjb+1my/7y3g5FCCG6jRRXImLEW5uLq7fXFfDc+/sJes1UNHS+uDImJWGfOo2mI4U4l3/UVWFG\ntb2Hm6+BKyqv7+VIhBCi+0hxJSJGXEtx1cpnxhNsOKclqNTrvo0uNhbnyhUye9UFTC17kfn88rMU\nQkQuKa5ExLDHGk95H/KaCRKkwdfY6TH1Nhu2SVMI1NTgPnjgXEOMekZD839ypLgSQkQyKa5ExDDo\nda1LgwAhnwWAKk/ntmM4Lm7qNABcmzed0zjipDs6fYFejkQIIbqPFFcionx7vopepwAQbLQDUOzq\n3Eaix8WoI9DHxVG/bSshv/+cY4xmxpZlQa/MXAkhIljYxZWqqlNVVV3VxrlYVVXXq6o64qRj21VV\nXdXyzz+6IFYhzmqy6uCpn89mXE4ywYZ4AApdxec0pqLTYZ9yHoF6F43793VFmFHLJMuCEe0fH+zj\nzTX5vR2GEL3OEE4jVVXvBm4AGs5wbgrwJDDwpGMWQNE0bXbXhClE+HSKwvkjU9l1qAIdeorOsbgC\nsJ83jZpPV+LauhnrmLFdEGV0OlFcybJgpAmGQqzddQyAb1w0FEVRejkiIXpPuDNX+cAVbZwzA98A\n9p90bDwQq6rqClVVP1VVddo5xChEhxn0OgjpiNencLS+FF/w3JbzLDk56G12GnZ/KRtgngODvqW4\nCsjPMNLUu32tr2vqvb0YiRC9L6yZK03T3lBVdXAb59YDqKp68uFG4M/As8Aw4ENVVVVN09r8C5eY\nGIuh5XqMs3E47GG16+8kz85LKm3eRynJlIbTXUbA4iYjPgOAYDCETtfx/6uumTKJilWr0RdoJE89\nr0N95btsZmjZRd9g0PXrn0l/jr0jOpJnY2ld62vtaB2LLxraHSF1i2j4PqMhR+g7eYZVXHXCASBP\n07QQcEBV1SpgAFDUVgenM7zb5R0OOxUVri4Jsi+TPM9NY0MTAPqWOwbzj5Vg8drZd7iaB1/dgV6n\n8MD3p5MUZwl7zNg5C2DNWvKfe4HA4OEouvAmfuW7PMHjaZ7dcHv83fIz8QeCfLK1mJnjBxBrMZ69\nQyfI93lmhUUnHjW1cksh00Y4uiOsLhcN32c05Ag9n2d7hVx33S14C/AQgKqqGUAccKybPkuI0xj0\nzTNTppANgJqWx+B8uOkIAIFgiKWrOnbhrTkjA/v5U/GVldJ0pLALo40evkDzhezddUH7B58X8vpn\neTz97t5uGV+0rabhxFKgq9HXTkshIl+niitVVa9XVfW2dpo8BySoqroOeA24pb0lQSG62vFre4yh\nWACcTS2PwTlpNbAzf+Bt4yYA0Lh3z7kF2EmuRi9vrjnE+58fxh/of3fc+VuutfJ1U+yVtR4AjpRF\n/v+l9yVVtR7+/cnB/8/eeQe2Ud/9/3WnvSwPec84cZzEWWSRBQTKDFBWgQ4KtJQW2tIFLR1Pn46n\nfcpT2tI9gLJXKVBmgUAgZC8yneG9hyTL1t66+/1xkmLHTuLMhvz0+sfj7r73Pemk7/s+M/13IJQR\nVxn+/2bcbsGGhoZ2YGHy92fG2L5s2O9R4NPHP70MGY6NVCVwjaRYrvoCoxsFC8cQd2WcOg0EgcDe\nPeQuv+L4JnkMrN7Zy+vr2wGoLs5ialXuKZ/D8ZAShPFxZgvuaR+kzGbCataNa/9Uglom5+DUsqd9\nEH8oxvKFlbT0eGjocrO+ZzPvda+hwlLGp6dch1o8WVEoGTKcfmTu9gxnJKlCoqqEiWyjlWZ3K7Is\nIwwzXR2DtkJlsaArryDU1IgUiSDqxrfonyh6nAeqoQQjHz1jcPwo3IL9g0F+/dwOrGYtD3x16bjG\nT6X/ZzI6TyyD3vBh4xMDyVi6SaVW7ENB1OX7ebqhHYC+gB2b3sby6o+diqlmyHBakKnQnuGMJGW5\nSiRkarKr8ccC9AdHWq9SC7E/FCOekNi4t5/H39qPJB1+YTZOmQqJBOHWU18ssXfggLgKRz96taLi\nSVE1Hregxx9J/jz6tP4jvIUZjoLX17dzz5/X81YyXnEsgmFF6Bv1amTjEJridrI1eYTrFyFLAh/2\n7zpV082Q4bQgY7nKcEaiSsZcxRMSU3Kq2WLfTtNQC4JgSu8jChCKxPna79aMOLa2PJuEJDO3Nh+9\ndvRHxFA7haEVbxFsbFDchKcIWZaxD4XSf3/UxJUky+n6VicroD2UtOZlLFfHTluflyfebqDL4U8/\naKjyu3i1Yy+LZ91Klt486piUFdWoV+PTtYIE9l3VyEErki+XfrGPpqEWanImHvH8sbjEhj39LKor\nSj8kDUeSZcRMgdIMpzkZy1WGMxJNWlzJZFMMQJO7dcQ+oiDgSgZAD+fh99fyxL7neHzrW2Mu0oaa\nGqGwZcUAACAASURBVBAEQg37R207mQQjcSKxRHphiRxH8+NQJE7kFIuz/3t6W1r8xBMy0hEEUPwY\nzE/BpHvqWI7NoIjSR/+9j45+X1pYqYtb0E7Yg2Dr5Lm9b4x5XChpuTJoVfg1vWjQIQZtAMS6awCB\np/b9k4R05HvumXcbeezN/byWjC0cTpfDzxf+731W7zy+fqEZMpxsMuIqwxmJKlmKIZ6Q+PUTTchR\nHQ2DLSMWdEkGdyCCmDWAuqwBNGHURa3opm1GbetjV3g1j+19dvTYRhO68grCrS1IsVNXiXrQq7jJ\nim1KBuSxWq4SksS9f93A/z2z7YTNbTw0dXtG/B0/gvUqepTXN+SLsKddqbUUiSbY62zlLzsfoX4g\n0w9yvDjcIbqdAWZNzOPKc6oRLS405U3okxbf3e7tDIQGRx2Xslz55SHcETczC6aweHoRAHIgmyK5\nloHwIHsHGw557m6Hn+2NTna3upS5jFH7cE1SVP3jvebju9AMGU4yGXGV4YwkZblS3E8CCV8OgXiA\nkKRUkRZz+hmglZ0Du9DWbkVT0obhrFVoKhqRInoiTbORInq29u9gKFkjaziGybXI8Tjh1tZR204W\ng17FylaSpyx0x2J5crhD3P7LVfhDMdr7fcdl/ToaEpIipAw6FZWFSuG9I8VdHc3cVn7Yzd1/Wpf+\nW9D7+eO2R6h37efFpteOYcb/f2IfVNzO1SVZfPHqGSxaqrxH52ZfTrRlJhIST+17nkdWbKc+KYJA\nCWgXBYFmryJ6pubVcv35kyjINgCQFapBQOBfzW8c0mX71DuN/OGl3emHCNMYRWBT94ReO75uHsdD\n70CAbY3Ok36eDGcmGXGV4YxEox4urkAOZAEQEFyIFhe6mh10m1az3vcmAEWqauS4BpWs5Vvzb0ca\nKiLeWw0CfOjYOWp847Q6ALzr1ozadiJ58YMWvvvXDcQTEp5kkcbCXGXBCkePPltwzUHulOEB8ieT\nlBCsLc9Jzz8Wl5BledRi6xgKYh8KEj4KcbWjSVkErSYttZMFdHUbEDTK6+UIDeCJeA93eIYkTrci\nrgpyjMiyTKu/GaPaQKWlgoSrmHyxgiZ3K1vir/DAK+vTx3n8UcwGNfsGGwGYljsZk17D/3xhAQBR\nn5l5hbOxB520eccOjLcPjrRUpTIQh5MSV1rNyRdXP3x4E398aTcD7tCRd86Q4SAy4irDGYlaJaIS\nBaLJL2MpYAXAp+1EzFYWYkFSoQuUE913NrdM+Qw/X/Rf/O/S71NjKwcgMVSELAms6900KlbENH0G\n2pJSvBvWE7X3n7TreGNDBw53CLc/knYDZidrPo3XshOOxtOWo+aka67Epli/7ONsO3W8pOau16rS\nwjcSi/PY3mf5ycZfEk0oC6ksy/zvkx/yvb9t5KUPxm8V9IVi6DQqHrhrKXmT+hBUCaKt04l11QDQ\nfogF/aPKkC9yUsZN3Q8FOQY6PT24Ix6m5dVi0msBgelcyhTTbER9EG3NdiRZEf0DnjDlRUaa3K2U\nmoux6pSHGY1ahVGnxhuMMq9QKcC71b5jzHNbjBp0WhW/+NJCALzDKr57g1G+8fs1bN6nZPzqNCd/\n6UpJ/vb+TEHaDEdPRlxlOGPRaVREYoqokHy5SIEsElk96AuVTkzBbefj3lOHLpZPWYGZHIsBs06J\nZ7r50lqIaxGGynEEB1jft3nE2IIoknv5FSDLeDduOOnXEook0mIqy6gFxhdz5Q/F+PJvVvPIG0rc\nkScQxWLUsHxhBQDR2Kmp8j7cnaNJNmh/v2cVW+07cIZc7HDuBpTYHW+ydYp/WJXvlDg8FIFQDLNB\nQygepn5wDzZDHomBUqSgssh3+8+c7ltrd/Vx95/WsXmf/bjGeP790XFLjqGU5crAtt56AKbnTcWQ\nzJoNRxNMlBcTdxUhGv1s7t9Gc7fiNjcWOYlLcabl1o4YM8ukpccZ4Olne5nTGEf9+nt0/+G3dPzs\nJziefRr/rp3EBl0QjTA10Inw5ovc1LuCyXvfp2vtO6xqfJddLc70fQGgPwWWqxR/frme+5/dfsQE\njAwZhpMpxZDhjEWrEdOWKxCI9UxEN3k7CSGCGLGApNz+n76wZlRq97LZpazb1UdH9ySM+b2s6l7P\nOaWLRuxjmjELRJHgnt1w1TUn9Vr8oVj6WrxCH9qpG3HHZgKzDntcV7INzIY9dm6/so5AOIZRr6Yz\nuh/NhN14IsVAyUmdOxwQgjqtClkGMdvBGseBgPqdjr0sKJqD++CaVmIcdWkzv9vWwI1TrqbUXDzm\n+L5QjOJcE3tc+4lJMRYWzeXLX1rE9x5ZBUCXr/ukXNd/glSF/k177SyYWnhMYzzyb0VsX7m4CoPu\nwDLgdIcw6dWY9Bq2NexGQGBaXi3hoPIcHozE6W72E3fUosrtZ03PRip92YgWF3viW1GLauYXnTXi\nXNkmDeoeO8s71pMbU+7HIDtAFIm0t+Fe+Q4ANyX3d3dAGUCwn9BjuykQobeilJnBChzaHGRBwKCy\nHtN1j5eDxfy+jiHqWweZOTHvpJ43w5lDRlxlOGPRalQjXGeS98AX46LCxbyL4j5cMmPsBVurURGP\naKnNqaHetQ9H0EmBMT+9XWU0Ypg4iVBzEwmfD5Xl0B3Sjxd/KJYUKDJrXO+isrhxSusIxC7ApDGO\neYwsy9z/3AEXTCAcwxeMoKnexRp3B+p8WBd4lfmBXIpMx7ZIj5dUzJVOo0KtltFU7kWFisDuheim\nbKHF0waAN1k4NDdLx6A3gmZCPeq8flq88FLT69x11u2jx44liMYkzEYNzW5lnCm5kym0GsnSWEhE\nLewfbCIcj6BXn9qK+icapzuEIxkDNN6WQEcaryKZYCBJMk53iPICM/5YgMbBNqqtlZg0RgSdYjXa\nuCdlLTMgefNoFzoZ8m5AU9WKjMxXZ31hhACWolE+3v0eYo/Si3OLbRLt89yELXq+tfSbaNt6Cbe1\nEunppnlvB/3Z5Vx586X8YX0f0fjblAXcTGsJU9HeQwU96XHDDhNDBYNkn3c+gvrEL2PegHK9Myfm\nIckye3q7eKb9UbZHyri+5iqMGsMJP2eGM4uMWzDDGYtWrRpmuQIkNfpIEYXGfG6YfR63XzGNez45\n+zDHKx+PaTlTAdg1sHfUPqYZM0GW8e8aO47kROEPRpUaV9YBHOHkAicmeKt95ah9I7EE63b3EQiP\nDHj/wUObEHMchIwd5OuKSHhz8Mkufrf9QSKJk1tSIpx2C6pxqPYj6sJM0s9GDlmQAlZ8MR/BWBB3\nMs5mUqlVKY2R148UyEIOWNk/1IQjODBq7MYuxS1lSgZUa1VaKiylAKjVIipvCTEpzh7XR78kQ3PP\ngXIWx5LQcDBO94E6b75glHhCJi9Lz15XA7IsMz1PufeHF9NVq0Q+dWENsc5aBFnEk7Ub0RDgnNJF\n1ORUjxz/uacRm/ZgmFzLprNvZGX2YubNuZJBTZQtzl2Yps8g78qrKLnjKzw/4QrqKxdgmFRDML+T\nvqoYGwom81DduTx3SQ7vnm1hd2UWzWVaVPEwzmefpuMn/83QircINTchx09cO6gtSZdrdXEWn7ts\nKpqKffgEB5v7t/GnnX9Hkj96TdMznFoy4irDGYtOIxKKKIt6cZ6Rr1wzg5997C6+t+CbqEU1i6YX\nMbk8+5DHpzKSJmVNBmD/YNOofczzlGwo38aNJ3r6I/AFY0SiCVRWRVxoOhYhRI180L1+lOB48YMW\n/v7GPp4/qBaQNxBNH39h4aVE9y+giFq8UR/vdZ7crMfIMLdgV6wRWRYoTswAQA4rVoCB8GC61c3E\nUiuqLKWeUql6MrG+SgDe7Vw1YlyPP8IDzyvZnCqTl4GQi5m2aahEFVIkwkxnPfP3uKhrDtG5dTVS\neHTR2I8SwWGC+VjaAsHI6vUvr21NB8enxLjRoGZzv+KynW5TxJU4rBHnhfPKWDqjGDmUhapjAfGB\nEmpiF3Lj5KtHnMe7YR2e1R+gK6+g9Jt3Ey1W3sMpWdMRBZEdA/Uj9o8lpHSyg1/biSyJxDqmknCV\n0eWfye7SXN5boueNc7N55KocLEuWEnXYcT7/HF33/Zz2H/2A4Akq7JuqybZ0ZjFe2YEqe4CEN4ec\nRBXt3s4RD1rBcCxdJiVDhhQZcZXhjGV4unapzcTc2nwMWg0acXxuBG0yI0mLgVx9Dt2+3lFlA7QF\nBegnTiK4fy+xoaETN/mDcAcUy5Vg8iAioo/ZEO1TScgJXm15c8S+qVpFHzY6Ro0jZg1CQk2ZuRQQ\nqEicjVlj4t3OVfii/pM2/5R7VlTFcUT6kHzZhALK6ytFFLfmQGgQT0BZ6KtLspgwOekiVBWTGCzC\npstnfe8W1rTu4vn3mgmGY+nyFAB+vZJdOLdgFuHODrru+xkLuzYwv2cvF272UfevbbT/8HsE9390\nLVjBYeUJHEOhdCPso2F466EeZ4D3tinxaKnSB35dO/sGG6krmEzxMHfxdz8zh3NmFrN8YSUGnRqd\nVoXPkU2sdSYzbNNGNM0eWvEW9scfRTQYKL7jK4gaLcZU3aq4lknZ1XR4u3BHPOlj4nEJtUqkL2An\nJLiR3PnJuEiBhL0SY89SEr4cAMJ6kaaL6qi+/wEKP3cbWUvPIeZw0P2r/2Pw7TeP24qVei2yTFpW\ndq5Wpt07kRrtXAC22RVB/6/VrXz1t2u458/riUQTrNnVm349U3iDUf7r4U1s2nvsCQgZTj+OlGST\nEVcZzlh0w8SV7hiyi7TJrLZoLEG5uQRfzI8nOrpeUtaixSDL+Dad2KzB4dlJg94w4XgY0eSh1FyM\nTq0jMVjIhKwKtjt30+JuT++bZ9UDpK12syfZEPR+NNU7EfVBbKoyDFploZNiKi6rupBwIsILe1ec\n0PkPJ5ys4B0Wk4tpMAtnsvWQHFbEVZevJ22N0ejiOOQWbIY8CnXFgMii7AsAeLbtKd7tXMXu1kEC\nyYxCVWE7zZFdZOuslO7upfOnPyLS1UVz4TReLL+YredXsGOKibjXS/evf0n/448gH+HL8XQkVQm9\nLN+MyxtOB7cfyxgzJ+ahEgX2tCkWQsVyJdPJNtSimjsX3JwWTACTy7P53PKpmA3KvZM9LObLlrzn\nAIZWvIXz+ecQDUaK7/gK2kJFoBn16uR5YszKV+rE7XQqsVgJSUZGqU+3w6FkjhrDZSPmXWrNJ7rv\nbELblyFKGt5oW4FoMWNdcg5Ft95G+Xe+h2gwMvDPf9D7tz8f1/sbDMfRaVW4Ii62OXZRqC9C8uYh\nRqzY9Lnsdu0jmoiNaNHzg4c38ui/9/HMxvVsbm5L/3/Vth56BwL87dU93P/sdt7Z2pXJPPyIEQzH\n+cvL9XQmE4RkWeau3x7e2p8RVxnOWLTDauHodUcf9Jo6PhqXKLMoGXXdvtE9zSzzFiCo1Qy9/RZx\nz+hq7kdLp93H0ysaR7iABr1hvGIfgihTl1ebzISUuWricoARpSLEg3raZmVLGGdsQm3rQ5YErpy2\nZESR1WmWWchxDZv7dpy0hsepmKuArLw+QtRMv0spYCr58lCjYXP/NtyBMKijvNv3NjEpzrKyJZgN\nSumJ51/zEN67AGI61GXNDPj97GxxIegCaMobsWgsfMV6Ma7nnkWVlUXpN+5m+5QLaDUUE509lQ/m\nmDDf+UW0xSV416zGs3rVSbnWk0nKdXfb5VPRFfbxvveFo67hlbqvciw6asqsdPT76HG72Dq4Ae3k\nDwnIHuYWzKLAdPjMuByzNv27LVmJPVC/i4EXnkedk0PFD3+EqW56ep+UuHrotb3EXUpiyMa+rciy\nnLamqVUi2527UQsqfv7Jq0ac77xZJVy+qBJiegzhMvyxwIjPo6FmMlU//wWGKVMJbN+G87mnD3s/\nR2IJnn6nEcfg6FpvgXAco17Fs/tfREbmgtJlgEAgFGdu4WyiiSjrejeRn31AVA56I6jLG9FN2cpT\nnQ9TP7CPrfsdvLz2gNDa7+jkxfbn+fGaB9jU9+FhX98Mpw9vb+5ky34HP350C7Is40snGB2ajLjK\ncMaSsjwB6aftYzk+GktQZk6KK/9ocaUym7Fddz0JnxfHM08d42wP8PsXd7FyWzdvbz6waDpVTXjy\nlYrYswtmoFWrSEgyFZZy1IKKPv8Bl8PBH/qgyokkxIj3VxLddhHzimalXabdTj+JhEDCY0PUhbEH\nR7sSTwSpmCu/pLhOjWTjSrY5QVJRIEzCHfHQn2jBMGMtHzp2kKPLZlHxvPSiDCD5c4g7yhFEiVf2\nruK93pXopm1CECVuLP4Y4cefAVmm+I6vYJo+A41KJCHJFBoLAHCVWSj71j2IRiPO558j1PLR6FHX\n5wqwo2kg3SBZo48hVu4kbhjgV1v/xKstYzcZH4tU82yjTs3UyhyEbDu/2v5btvvXoMoeQIWay6ou\nPOI4s2sUgSQIYMvSE9y/j76H/oagUlHy5bvQ5I4UZ6bk++gJRHnmzW4ETzGdvm6a3W1p96ak9dPj\n72Nq3mQMav2I46dV5XLdeRMRBQFdWMlI3ObYNWIftSWLki9/FW1JCe73VtL75z8Q7Ru7yfMbGzpY\n+WE3//v45lHbgpEYWquHJncrM2zTmF88E1BE1wXl56BVaXm/ay0qlYDZoOHOq6dTObMPTbEipCQS\n/G3347ywZSvqZJ9TMacfXd16VLl2/MFeVn7wFCtWPEz/vh0fSSvq/y/0uQKs2NqV/vuh1/Yy5D1y\nEd9MKYYMZyx63XGKq6Tlal/HEOfMU8RVr3/sauzZF16Md9NG/Ns+JOpwoC0oOIYZK6Se4t/Y0AGA\noAsglCmuErW/lHJLKVq1EpguJQQKjPn0Be1IsoQoiOnFM0VQcIEMBapKrr1GqYuVyoTsdgb440u7\nkVQ5kNdHm7frpJRlSFmuPDHFBZWtycHNgXnmxibSq95HpGQroBSuvGHy1ejVeswH9ZiLO8pRF7eh\nqVCaAMuSwHLXRLLe+AdxjwfbdTdgnKwUslQne0zm620A9AcczKicRtEXvkTvH39Hz+8foPgLX1Ky\nPk9jfvDQJkBJzADYPaTE/EjufAqKJd7ueI9CYz5nF8894lgpt6BRr6ZDvR7d5B3EZJEa8Wz2drq4\nZv4C8o1Hrud08fxyqouziHncDD3zGN61ipuk8ObPoZ9QPWr/qZW5I/4O95egs/ax3bmbC4uUz1dA\nqyxiZ+Ur78fCaYVs3Gvn3k+fla7HpVYJaAJFmAqNbOzbyhXVF6MeFkepMpoou+e79P7p9wS2byO4\np57iL96JefbI+lveZHyfyz0yGF2SZEKRBFlm5TO2uHg+Oq0arVokEIqhVxkoFKrpCu9HZdmLQZpM\no/wBDv1OdIIRz+5ZLJieyy75DbxFa8guKEDUh/Al3FgjKhZuM1Pd3opWTgBr8bKWQF4eptqpGCbV\nYKyrQ5NnO+Lrn+HU8M/3W0b0cd24105NtRZt7RbgqkMelxFXGc5YqooO1J0yGY7+Vq8ssiAI8Oq6\ndlr63KjyVbjCYwetC4JAzkWX0P/QX3GvfIeCT33mmOddlGvEFzyQcl8yvZdBUSbaPItivSIaUpan\naCxBoamA3kA/3qiPbJ11lOXKj7JI3Hvt+Zg1StublFsQoM8VRDApRRnbvZ2cnVNHzOlEnZuHymQ6\n5usYTurLaSg2iFalJceQTTsHshzFcC5mkw2/MIBZZeUL029Co1JE1XDLFQBxHbHOKWgq9qPpK2TW\nnhiTXBuRtBryrr6WnEsvS++aEld5OmWxsgeV1kfmmbMouvU2+h99mJ7f/Yaiz99O1uIlJ+RaTyZ9\nriB6rYrNjq0IsopIy0xuv+AsHtj5B55vfJkZtmmHrMG0u9VFcZ4xLb7VWol9nl1IYSMVwfOxGguI\n9/Yx1TZpzOPDnR0E63cT7mgn0tVF3D2EqNOjCgbwJhLoysspuOkWDBPHPj7HouOOq5RYq5c+aMXh\nyUOK6FnTvYH2PVYQJIY0zYiCyIxkluKtl03hsoWVlBeY0+OoVAKJhMjZRXN5r2sN9QP7mF0wY8S5\n1FlZlN/7fXxbNmN//BF6//JHir/0ZSxzDojPREKx9KUyIUOROPs6htIZxHH9AAICk7InAIrrs73f\nxxfvXwXqYnR17VDQgN/WxPo+iXJzCddW3sB9m/ajCRcww3QBu6LrCGj7MPoTnLc/wuzmMMT68KqM\nfJhVRTzXQ57kYkqvF+/6tXjXrwVRJHvZ+eR9/BpUZjMZ/rM4R/SWlFEVdvCC/S2OVMc2I64ynLEM\nL7NgMWgPs+fYTJ+Qx72fnsN9T29jT6ub7DwjrtDgIfe3zJ3HwAu5eNauJu/Kq475i/HgYFe/qg9V\nwkBisIh4oWLVGh4PlqtXrnMw7B5DXMl4ZAd5+ty0sAJGBCoDyEELhY44VStX0uL6t5JtpVKhLSpG\nX11N7iXL0RYVHdP1QFJciQlcYRfFpgJqy3PY3nhAXIUiCbL85zAYaOYbNy5PCysAi/HAe3dWjQ1B\nEGje4+e83TrqgrtBSqDOyaXkrq+jr6gccV51UkRaNbmIgkh/4IDbM2vxErRlZXTffx/2p59AX12N\ntmjsgrKnE7lWDfaAA5NUQDChQYuFZeVLeat9Jc3uVmYmg8WH4w1G0yUrbr5EEegeepGQMITKaGpO\n0EQfapVAYe7oorRD767A+dwz6b9FkwltUTFSNILGZiNr0WKs5y47YkHPVEX5D3b04nCHiLVNR5yy\nlTbNatTFxUREL+eULMKYLIyr1ahGCCsAlai4eucXncV7XWvY4dwzSlyB0qIq6+yFaHJz6f7tr+n7\n8x/wnjUH64038ZvXW9I9A1Nuu0f/vY+tDU5K800gJAirByg1F6fn8qkLa/h1qihvXEesdSa6qZtB\nlDirYCa3TPsk0agM7Gftrj70CYkJwUquyxkk3tQACeU+zV1+BX/fo8bpj4MmjGH2KtqtE7iz8AqC\nTQ24330H93sr8W7cQP71N2I957zDvqYZTi6iKKDXqijINtAda0ZbuR85oSLeO9o6O5yMuMpwxmKz\nHniCPxbLFSgC7YGvLuGbf1yHEDPiE+xEElF0qtFiTVCrybnoEpzPP8vgm2+Qf/2Nx3TOYDiO2aBR\neutpwkQJYkqU4UdIP20Pt1zl6pX09MHwENXWyhHFJQVtmKgcpsJSc9hzTvO2c/nKQVQyaCoq0FdU\n0b+3kYTdQbSnG/+HWym7595R4uVQxBMSz65s4uyphUwuzyYcS6DKsROX49TlTeGi6jIi0TgtvV52\ntbjY1eICYELxFIqzRrqkskwHXuuzpxUyNdBJ74rXEOIxtCWlZC1egnXpuWOKWU1y4ZQlgXyDjf6g\nA1mW0+JSX1FJwWdvof/Bv9L9m19R+vVvoistGzXO6YQ1O84QMiaVFSdKX8XanIm81b6SpkOIq+Fu\nDcVyJbMvpLhgPznnPB5q6SYhyZTmm9PWvhS+rVtwPv8cKksWBZ++Cf3ESahzckYJ9KPBYkxmq3pt\n1Ohn0cRORGMTSCJXVF982GPVKoF4QqLcXEqOLpt61z62NdkpzjVTnDfa0mqomUz5t7+L45knCWzf\nRqClhQpVBVa1CVkQsCZ0+HcaGKpvoFASsdvjaG0eJCExoihqXVUuly+qTLvrJV8ukYa5lJUK3Lrs\nWlSIRNsbWG5fR1nYkW71E7eDrrwc63nnk7XkHESNhvjedUAcYnqEsJVWsRN5dgE55eVkn7sM9/sr\ncb32CvbHH0WOxci+4MgxcBlOPB82OOhy+LGatPzg5nn8fc8+drsgsnchcujwHTky4irDGU1Zvplu\npx+r6dhbhVjNOrRqESFiAa2dLl9P2lUwat/zz2fo3bdxr3wH/cRJI9wQ4yUQjmPSq/GHYohG5Qt6\nan4la4BLz1YaLuuSwfbhWIJcXcpypbgsh7f8EUxK6YgKy2jB8LuvLWXl2kac765k6eBOomoV/z7X\nwscv+TRVeVP4/n3vQY7M/QsFXM88Sfevf4ntmuuwnnf+ERfWjn4f72/r4f1tPTz47WWEo3HUNqV9\nyYLiuQiCwJVLlNfw8/e9ByhxcV+8crQwSAVC6xJRrKteoW/bBlQ6HQU334pl0eLDziUlFOIJiSJT\nAfagA0/US7bugE0/a8FC4gMDDLz0Ah0/+W8KPvUZss//2GGv7z+JaFTcFLnaXNqBlh4P555ViVpQ\n0exuHfOY4bWtNu21I5rdOKK9zMqfzoIJNVg/aWNrg5PZk0bG+ng3rKf/7w8i6HQU3/mVdCzb8TK8\nAGpFfAH77EOoCzuxBKaMsLCOhUoUSSQkBEGgLm8qa3s38NdNLyH31vLQdy4Y8xh91QTKv/dDBl9/\nlYE3XmNxfPeI7b1/WMX1yd9DopYAOeyLBpgpwlDHChKBAFI4zNkaA9tDEfr0eciCiGbQSrlvkAHn\nowTqd5Hw+ZiZHKPNUEy3oYCbvnEjupKR/TtLbKZ08dbooA2NwcPugb3MLzor/ZBmmjGLrl/+L45n\nniLu85Fz0cW4Yyqc7hBTKnOO7gXPcEz86V9KoVtPIIpKBS2eVvL0OVx16aIRFvWxyIirDGc037tp\nDoPeMDmW4+vDZtCrkX25YIGmodZDiitRo6Xoc1+g54+/o+9vf0b/s/sgf/w9B2VZJhiOkZel5/PL\nq1jR7sQFzCir5MZvTE/HH1lMypO/1x8lv1j5oh0KK2UOorEDC6loVGK3yrNKR53LJCaY/O6TTBu0\nExNUvFI1D3tRG+t6NjEtN7mICgLeKfMovEWD45kncTz1BOG2NgpvvhVBdejaYcOD6p3uEOFoDNEy\nSLm5hMJh/RmH86kLa8Z0SQmCQGHYxWXODQhtg2jyCyi6/Q4M1Yc3y8MBt2AsIVFiKmKns55ef/8I\ncQWQu/wKtKVl2B9/BMdzz6CfMBF9VdURxz8VDC8UqtWI5NoStPrgrIoq6jVennm3CV8wRoWlnDZv\nB6F4eFSm3XBx1enwoy5W3NsLiuYAUFuRQ23FyAU72N2N/cnHEA0Gyu/9Prqy8hN2TdOrc2lILgjf\negAAIABJREFUti16fX0XMI14XxX/c/uRRa1aJRCOSkiyjL+jAimxE01JGxH/4QWHIAjkXXkVzSUz\neeuVdVwyLQeny09z7xB1E73YPe2YwhJVvVFsrXbOAdjxEs6DxrkZCOlM6LOtyI4+RFnGC6isVrKW\nnotq9ny8unwkb4SLqnLRFY7+/N9+5TTe+7AbTyDK6v1+NKUtbHfuHtH0WltURNnd99L9q/sYfO0V\nvOvW8pxpLs3aQh64a+kJ6S2ZYfw4ggME4yHq8qYwt/bICUsZcZXhjMagU1Oaf/xBoSa9Bo87G0pI\nWgcOvQgYp06j8LO30P/wg7hee4WSad8c93niCYl4QsaoU7F0ZjE9Oi2re6DQmD8isDvXoiye+zvd\n1E5QrFIpy9XwxThl+UqVkkghyzL9jz2KetDOTsskPsg7iyB6CuUQOwf2sKV/e3rfTruPCUvPwTRj\nBj1/+B3edWuQE3GKbvviIa1GoWFuqB88tAnB4EMvypRbRou8FHVVI7PJZFnGs+YDPKve53PdiivG\ntOQcSo4g7IajGWa5SjUU7vH3MS1vtAXGPGs2wm1fpOeBX9H30F+p/NFPEbVHH6t3oknF0M2dnM+X\nrqrjheZXwAeVOUUsm21hxZYuXlvfzqR5VmRRptXTTl3elBFjROMjkxxEsyK6q7LGFkxSLErjrx5A\njkYpuuPLJ1RYAVw8v4LCHCN/fvlAC5zPXzSXXMuRGyKrVSIJKc7GPf1s2O5BMJyFfsY61PkHKqO7\n/RH+/sY+bjh/0qiYLT8aOowliLPqsMkJ/t38KM1mD0QKiXuzKVgaRvK6+IR2DlVCLuqcHFQmM6Je\nT2zAib++HmHLJnC70FVPxDR9BqYZs9BVVCCIyezUI1xDllHL1edU89r6duSwGYvaSuNQSzrjN4Wu\ntJSqn93H0NtvMvjmG3xicAUxQUX/b9YhLr8M85y56XNmOLm0eZTvoAnW8YVGZMRVhgzjwKhX0+9S\nUWUqosXTTkJKoBIPvcBbFixk8N9v4N2wjmD3DaDLGtd5wukefMpHM9U3sOAga0/KEvfO1i4umleG\nXqVjMGm5Gm6lEIx+DCoTFu3IBca3cQP+rZuhopq3NQuRkl/ojp2T0c+y83bH+8BsQKDDrrTFUVuz\nKb/nXrp/cz++jRsgkSD/xk+jzh7dn/HgchCiQRmj2Dw6KP7uG2fjdIdGxFZFHQ4cTz1OcO8eBLWa\nSEUN7VVzuOKzlx5VrE8qKzIelynNVc7dc4hyGgCmuulkX3gR7nffYfDNN7Bddc24z3WySLW8MejV\nqFUizuQ9YTPkMW+KiRVblPIFbY0atFMUy+pocaXcE0W5RvoHA4hmJfnhYAsegBSLYX/sEQJt7VjP\nXYYl2T/zRKJRi9RNyEUQQJZhyYwilswYXzKBSlRirlIJEXLIghg3IlsHeLN5NVajgW2bVexpc/Nk\nrIHv3zTSNZ96PY16Ne3RBkSzh6xYJY7dk6kty+PbSxXr0Vj3mb5qApZ5C5A/ewsIwnELm1SJmBJN\nFQ2hnWzp3z6qnIbKZMJ27SeQamew+uHnKYwMUtjZSt9f/4RpxkwKPvNZNLYjybkMx0ubNyWuKsa1\nf0ZcZcgwDow6NZIsU2Ispi/Qz1DEjc1w6FpAgiiSd/W19P35D7Q++DDZ11w/rqf/VLyULpkNaA86\nydZZRwXQ5w5zcw76IuTqcxgMu5FkmYQkM6HYQpt9CFEXIl9XNeLYmMvFwEv/BJWKrJs+j/R8Y3qb\nHDWSGCqgX7AjGPzIIUu65QOAqNdT8pWv0fOH3+Lbshnf1i3oJ05CW1CAN8tEOCEgarUYulzMccfx\nZBUQiEq4jIrwKzMV49uymYTfj2nmTDR5NuomHLBYxT1uBt94DfcHqyCRUBaPmz+HJieH0flgR0av\nVQRwKBqn2pCHVtTQG+g77DG2q6/F/+FWBl9/FY0tH+uSpcdw5hNHSnDrk0kMjtAAVq0FvVpHdbGW\nRXWFbG8aIOzPRkCg2d02aoyU4J5SkY3dP4CgiTIha+z4KfujD+PbvAlzzSTyb/zUSboqxar837fM\nZ8BzdDFEep2aSDSRFs4fm1vGxqAVwRLk9c7XARD1ZgT9bAza0Z/RVJ0vk15DvXMHsixgr58AkooJ\nJVnjEu/jtZweiZS4qlKdRYu4h9fbVjCvcPaYD27v9gq8W6iUC7l8soGzO9YR2L2Ltu/fq5SZmDvv\nhMwpg8Lw3oHnzS6h3bsTjaih1DS+h4CMuMqQYRykgqrNasUC5QoNHVZcAZjPmoN+Ug2enbvw7NxF\nzmWXk3/d9Yc9JpKMl9JpVEQSUYYibibnjK4blDusl1s4miBXn01voB9fRGkpY9Rr+PpNE3hwP1Tn\nHghmlyWJ3j/9nvjQELbrbsBQWgQ0jhhb5S2BXDv6GeuINs9kyD9S2KmtViq+/0N+/4MHmeFroay5\niXBzE8O7LlqBi4FUKSuHV0eDW4N+x0v07d2r/PNp0OTnIycSiDo9cfcQUiQCkoSmoBDb1ddinr/g\nuLLSTMkCpIFQDFEQKTYX0e3rJRyPoFePHbMi6g0U33kXPb/7NfYnHsUweTLa/GMvCnu8pISRRiMS\nk+IMhd1MzK5S5ioK3H5lHa+ua+PlNW0U6Irp8HURjofRD4u7So1Rmm/mho/n8GonVCfHGI5n7Wp8\nmzehr65m+s9/yqA3OmqfE0llkYXKovHHJALkZ+tp7IKmbsW1ef2yibz/cAmasgAJj40LFxTzQfc6\ndDPWEQzA25tzuGBOKZpkEkiqhVAID13+bvSRYsIx5bWaXDbaCnsyMSe/V6SInrOL5rCudzNt3s4x\nYzrbhz3kdMQMXPv1b+HbuAH700/Q/8hD6EpLPxKlRD4q+EPKfVI3IZdPXTiRe9Y4KLOUHNZjMZyM\nszZDhnGQygzRycpCcKhiosMRBIGyb97DpK/eiSY/n6E33yDU1HjYY6JJy5VWo0q7BMcKABcFgc8m\n6xUFIzFykuUYnAFlXhqViF9WgpZLh7nifJs3EunswLLgbHIvW5627AxHEywl4VGEo3bSLkKlawnG\nRvZfE0SRndbJPFV2GcJ3/pcJ993PWX/8HRU//DHl936fxgtu4s38hYhLP0ZTTjkF3gjn7PAT3rsX\nQ81k8m/4FMZpdcRcLuREgrh7CJXVir6qioKbbqbqpz/HsuDs4xJWAKakZcAbjOENRKnLm0JCTrDV\nvv2wxxmqqyn4zGchkcD18kvHNYfjJeXS06hEXCEXMjIFhpFZfZbkdRaoy5FkiYahlpFjJO8rjVqk\nLdgEMMJ1KMfjeNevw/HUE4hGI0VfuAOV7vQMmC7IUZIeXN4wJr0arUbF5XXziexZTLx7MufkXUi0\ndTqCINNjWsvL/U/yxPo16fZAXQ4/KlGgJbAPgBvmLWPJjCKWL6xkxsQjV6Y/kaTuz0Aozkybkilb\nP7BvzH37XUEKcgxkm7VK4V9RJGvxEopuvQ05ElHKNmTa6JwwUu5jm1WPMzxAQk5QZh6/eM1YrjJk\nGAe2lKUoqgTcDoYPXUx0OKJOR/5FFxKx5NH1i59hf/IxKv/7p4csthhNuwVVOJJ9/g6VXWdMtgMJ\nhePk5ilP3K6QIq5UKtjUvw2AymTQcsLvx/nPfyBoNNiu+QQwdlyJ1x+HhnkIRi+asiZU2QM8ue+f\nfGnmLWPOo8OboGZyCcZ8CwG9EsMz0Jxgp1Xkkx9fyIqch9gS8zPJOYkbrrkOTWGhUtH+4kuUxUAQ\njltEHYqUxfG5lU08t7KJL31iMqKwkrU9G1lauvCwx1rmLWDorTfxbdpIziWXjbvG14kmZXXSalTY\nk4I7/yBxlVqk86gCNrGqex0zbdPSr2tqjLgQYo9rP2XmkrRAC7U00/fgX4i7XAg6PSVfvuu42jed\nbAqyDwS952Upn8urlk5gyBdh7e6+ZKugMiJxDeqidkSLm23xfyPVd3Jt5Sfo6PdRNyGHbc53UItq\nPlYzn4UF8UOc7eSScguu3NaNoC5GI2qod+3j6knLR+wXCMfwh2JMKM4iIUnss3eytWcP80rrsMxf\ngG/LJvzbPsSz5gOyzzv/P3EpZxyhiPJdbNCq6fEroQQlRyGuMparDBnGgS35hR4NKBas8ViuhmOY\nOAnreecT7e3F9erLh9wvHXOlVaVbtRwczJ4ilT0YjMTThURT4iqo66HF08ZMWx0lpiL827fR/Zv7\nSXg85F5+JZr80WOO1DcCctBKtHEuUiCL3QN7cUcOtOQZ3iTYGxztOkq5XmJCiLi5F7suD3veYrRF\nRSOElCCKJ01YwQG3YIpt9T5K9ZV0+XvxRwOHPVYQRWyfuAGAgReeP2lzPBKxZKafRiXSk2wcXnJQ\nYkDKcqWJ5jAtr5bGoWb2DzYNG0MRV/Z4O5IscXbRHARBwLftQ7rvv4/44CDW85ZR8YMfYpwy9VRc\n1jFTkHNAXBXblJpYoihwxeLKdM/MJdOLkNyFRPefTaR+MUbJxg5nPX+q/xuoYgj57ThCA8wtmIVR\ne+QMxZPF8CSOdzf3UZszkb6AnYGDOkG4kzWx8rJ0TK2yoqvbwKMNj7N7QHGx53/yMwg6PY6nnsC7\nft2pu4AzmGAkmUiiU9Gd/NwdnHV9OMYtrmpra8+ura1ddYhtxtra2nW1tbVTkn+LtbW1f62trd1Q\nW1u7qra2duxmUxkyfETIT1qu/D41AkJaxBwNtus+gTo3j8F/v87QynfG3Gd4zFVKXB3JchUMx8lP\nxn/ZQ4q1y6ndjYDAx6svxfnsU/T+6fdEOjvIWryU3OVXjDne1z8xi4vnjwy6N+g0xO0VyMis6FiV\n/v/wWlq+YGzEMbIs09rrxaRXs9W1CQSZuLOUSPTUuyxMB/UljMQStDYnG3I72o98/LQ6jNPqCO7d\ng/v9lSO2bd3v4OU1YxftPJEMj7nq8ilf8geXtEhZrnqcAc4rUtql7HAeKJSZKsXQHVHmW6sro//v\nD9H3lz+CSkXpN+6m8LO3ois5dKmM04UR4irPOOz/Rn7z1SX8+itLuO2KaUwuU6yocsiCa9tsStU1\n2MN96Kavo5WNZGktXFl9ySmf/3AOroY/PdlTsd410jXoTX7GLEYtcm4HgqjcEy80vkpMiqPJzaX8\nnu8gGow4nnmSuNt9CmZ/ZiHJMi09HiRJeXBMW650ato9nQCUmMbfAmxc4qq2tvY7wMOAfoxt84DV\nwMRh/74a0Dc0NCwCvgv8etwzypDhNCS1eEUiMtk6a7qm1HiRZRmV0UT5t7+LaDbjevklEoHRlpNU\nmxKtRsQRdKIW1enegQeTslzZh0IUGQsRBZHeQC9owgTEAabk1mDcth/3eyvRlpZR8V8/ovBztx0y\nfTwcjY+opaXTqFg2u4SEqwQtBrY7dqUtVsFhpRYOFldOd4ghX4SaCQZWda/DrLYgDZRx/bKJnGpS\n71uKXS0upICSlLChs36sQ0ZR8KnPoLJYcDz9JL4Pt6T//+eX63l1XfuI1jIng1TMlVYt0uXrwaI1\nYz2otEeJzURRrpEPG5385tF2dCotTe5W2vq8rNjcyYsftCLoA7SHmqjWFhH/62N4N6xDW1RM2d33\nYqqbflKv4UQy3Bp5cAC6Ua9Jlyn56nUzeeCrS1CJAkhqmjdMwCxmI+rCyMh8vu7T5Bzis/WfYnpe\nUlwdFHflS1qHRX2QVf3vI0hqEq5iBsKDfNCtWKr0E6qxXXc9UjiM85//OLUTPwN49I19/PzJD9ne\npDzUpsrJxFQ+WjztTM6eeMim6GMxXstVC3DtIbbpgGuA/cP+txR4C6ChoWEjkMkRzfCRJpX2HUs2\nSnZHPCSk8S2q63b2cudvPqDT7kOTn0/upcuRQiGG3nl71L4pt6BWLWIPOikw2EYUFRxObpaebLOW\nbY1O3tncS7GxiL5QH+qiDlQJmTmd4HjuaUSjkdKvfRN91YQxXXA1ySf8vCw9w7fecmktKpUIskhw\nIAdv1MfeQSUgPzRCXEWJJmL0+uwAON1hAKTsTmJSjMuqL+Dv37mImlOciQXKU+f8KSPjhySPDTmm\npTm0m3A8fMQxtMUllN3zXQSNBseTTxB1e0ZsH/JHcLhDI1ylJ5KU5SohKtmjYxViVatEvnxNSiCJ\nVFqqsAed/M8za3nuvWZln4JOrL44y9+xE+nqxHruMip/8rNxVbo/3bh4fjlnTyuktuLQ95TZoMFq\n1nHPJ2cr/5BFVL2ziDtLubLwk9TknHqxPxa1wxrMP/l6JzZtAU3uVmKJAw8tqSbTjfFNhOJh8gPz\nibZPxag28GbbSnxRpY6c9Zxz0VVNwLdpA8GG/WQYH/bBIOvqlfp3vQPKQ28wGdrQFVeE7uKSo6v3\nNq6A9oaGhhdra2urDrFtHUBt7YiaKVnA8G+gRG1trbqhoeGQUYM5OUbU6vGlOOYfRTuRjzKZ6zx9\nsCZFjyCKFGbl0eJpR2uBXOPh5y7Lcrp3XnOfj7nTS8i9/io877yNZ+U7TLrxWjRZB8bQJIuHGrNl\nIv1RynKKDvv6/PZby/jCz99lV6sLLFOQLb3km5q49B0vtsG1yIJA7d3fIG9K1SHH+NmdS2jr9VJX\nnQdqFf9a08ac2gKuXFZD74Cf19e3E++vRJffz7ONL/DJijt48IW96ePbpG18e/VLxOUY31j0BSKS\nDZBxis1oZDXL687FpB3d1uZUce+tC3j4lXre2tAOgMWgJ2SvQChrZpd3F5fXjqOPYP4UhM9+hvZH\nHmP/L/6P2m/fnd70/Qc3AvCDzy1g4fQTnwqv1SmWmqBWeaKuLZgw5j2Rn2/hkoWVvL2xg5rcSTS6\nG1GZB9EO5JId87GgcR9Tu5VFuOBjFzDpK3ccsV7T6frZvOuTc8a9b36+hTX1/azf1Ud/pwGYweKr\nZ424tv/kdf70jsXc/JO3iUQT7GgeQBM1oC6KMyQOUJc/mfuf2srq7T2AjD3WRZ4xh/LoVDoSvVxS\n/TH+1fg67ZE2LihdDIDhq3ew69vfZeDpJ6j78Q/RFxb8x6/xVHIs1/nyuvb07zq9lvx8C0Lygdqe\n6EQjqrlw6kK06vF3bDhZ2YJeYPgViocTVgBDQ8HDbU6Tn2/B6fQdecePOJnrPL1IWSX8wSjFKEKh\nta+XRNbIxckxFKS1z8vCaYpvvqXnwDNGKBRNX2v2pctx/uNZ9v/tEaVPX9JV50p+DlqSwcglupIj\nvj4Tii3Y23tZMLSHiyJDWJMpxJZFi8m97AqkkiOPUWDR4nT6mFho5mufmElteTZOpw8NMLUyh30d\ncE7JYlb1rOWhFe/jDymFPwVtEHVpEzFJQBDgL5ufwNC9BMEUwh1zMadgJkFPgiD/2ff4hvOq0+Jq\nZnUemxoroaSNNxtXsSB3fE+kmoXnYt61F9/WzWz94p0stM5kY+6B0qZ7mp1MLBxZCd/lCRONJyjO\nO3wz4sMx5FHuiS2O9QBMtUwd8X5G7f34Nm8i7h6iuqWXzzoHKfwr3BIewhB6D92wdkgem5Haq2/C\ncvYiBgYP/537UflsjgfrQe5hvUj62k6H65xSns3OFhcACY8NdVEHT217mTtn3JYUViAY/IQSQaZb\npkAyKiFLUoRTY387MyzJezG7kJyLL2Ho7bfYcfe9VP74fyieVPYfv8ZTwbG+l9sbHOnfnYMBnE4f\nrsEgqGLYg/1MsFbgGYoAkVHnOxQnS1ytA64Enq+trV0I7D7C/hkynNYIgoBGLRKLJ9LxLp6Id9R+\n3/2bYsWoLLRQnGei2+lPbxsem2Rddj6eNavxrl1N3DVA6de/haBWp03RvRGl1cJYPfAOZubAHia2\nv4+ITFClpaXISHDSDK695fZjysSbPWlkmn92skFshXEisBY5ywn2XL748Wm80PIiIQGiLdNRCVoi\nE7YRytmEWqu4GhcWn34RAUV5RnJNWfiDuThEJ4FYEJPmyJY1QRQp/tKdyAvn0v7MP1g2uJ3iiIuV\ntnl4NWa8ASUuxuEOsX53H25/lHW7+9CoRX5711K0mmOr6h2LSwgGH33hbqbl1aZ7JMqShPu9dxl4\n8Z/IMeXesgJmRERBh1qQ8ZpUGHImY6jIYmVsH5XnXcb8msXHNI+PMsvOKsUbiBKOJbjt8qnH/F6c\nLGqGiSvJYyNPnkCLp41VnRsAOKvGhq0mytoBmJY3mTa7Mv8sUXnI6QvYR4xn+8SNqExmBl56AfuT\nj1H04x+cwqv56BEIxxAAmQPuwEFfBHVJKzIyU3JqjnrMYxJXtbW1nwbMDQ0NDx5il38BF9XW1q4H\nBOBzx3KeDBlOJ7RqkVhcIkurPK14oiPFVWPXgQydVKbJoQK/RY2Wsru/Q/8jDxHcU8/QirfIXX4F\ngXAMkGkPtJKltRw2O0WWJBxPPUFN/Sr8Kj2bcqbzoXUKkiByfnHpCStxkAoQtkiFZOusDFnbKS+Z\nzrRJJkJ9nUhBMwlXCQkEdOYKxIIORH2QAoPtmL6UTjZ5WXosRg1unwWV2Umnr5upuZPHdWwklkCa\nsYDSb1ez4cf3URvopCbQRYuxlK7yc5Hlyfzs8a34Q8p7LQhKBX2nJ0yp7eisV90OPyaDhlhcQjQr\npoqz8mcCEPd46P/7gwT37kFltmC76Rb0VRPY0h3ikfc6uO2Kaaxxv0lXbD/5Gh2y2sdAyMD5uR+9\n+KoTQX62gduumPafnsYhWb6wkiXTiwiE4/zXw5uwDs3BZ+tmdd9aYCG5Fj32eDsCAlNzJ9OfdBFL\ncTXZOusocSUIAjmXLiewdw+BHdtxvv8Bwoy5Y5w5AyiCypatx+kOp4uH2t0e1GXdWLRmLq48+tph\n4xZXDQ0N7cDC5O/PjLF92bDfJeCOo55NhgynMWq1SDQukX0Iy9Wf/nXAQBtIfkCHB36nFtz0eFYr\nxV+8k/b//gGuV1/GNPss/KEYgjZEIB5gbsGswwok1yv/wrN6FaGcQp62LGJIeyCDzBM4cW1LUuLK\nH0xQmJiKW9xI3Ohga//2ZJmFMkiGwkc6ajGLGkonhLmx9upxt4o4lVhNWow6DXFXDqpi2OHYPW5x\n9ed/1VPfNsj3bprDE2XLqfO3cW5kHzXuboo2Pcf3LW8TrSiAlpkQ13HVkgm8vLaNx97cxw8+q1jx\nXl7TisWo5YI5BwSwYyhIbpY+nZofjSX470c2o1GLLJlRjGhS7rXKrDKkWIyuX/6CmL0f08xZFN56\nG+os5b03BpwgCPiCMSqZS7uvnwFLP3JMpjKrfMxWShlOD6xmHVazDpNezeCQzLy62azv24LK1oNG\nrzSMr8wqx6I1o9cpYjsUSVBiKmLvYAPBWGhENpsgihTd+nk6fvxDWh/6O2X3FqErPf1LbZwK+geD\nZBm1GPVq1tf3EY4mKCmV8Ni2026S+Om7HzJg60NUxziv9AI0Ks2RBz2ITBHRDBnGScpyZdWmxNVI\n3744TAilhFTKxAwH0qmHozKZKLzpZuR4HPtjfycYiqAxhQAoNB26SrZ/1w4G33gNTX4+/Vd+Li2s\nKgsVq1p5gfmQxx4t2WYliNPti9DbprjPItlNvNj8OiIiCVcJH5ub7F8oi5Qn5nPv/K9RlTW+7vGn\nmiyT8qUqeWxkabLYat9JNDE+MVrfphR33NM2CIJAf+lU7HdeytrZJixBieve85CtdmCY8z5ith1T\nVgLEBO3hfbzbsZrdzr28uq6dp99p5BdPbyMcjfPK2ja++7eNvLOlK30el1fJYozFJWLxBKLRhyio\nKDIW4PngfWL2fqznnkfJXd9ICyuAwlzl/Vm1vYeAR0N030K+PuUefrTw29wz9ytoxExTjtOdghwD\nTneIC8rPQyvo0FbX80H8cSRZYn7RWQAYkm2rwtE4xaZC4P+1d5+BcVZXwsf/z/SRNBr1bkmWbF93\nXAAXiOnFBtMJAQIkpC0J2WSzqWzypof0HggkQLJZWJaQhO6EYroBG4xt3K6brGb13kaa9n54ZlRs\nqxnJkkbn98XyNN0jXc2c55Zzj50aBLCnpZN+/Y0EOzsp+/636Tp44OQFMgmFw2F+8ch27rj3Tb71\nwGaa2rr541N7MOJaqU59FmtKDT3OOmose7EktOAOJXF+wVkn9L0kuRJihBw2q5lcRUeujpoWzE3v\nm/bp6Dp25Kr/FGF/CUuX4Tl9Bb5Dhzhjx5N4nGbSlnnUESdRPTU1VP/xDxg2G9m33Y6z327Df7ti\nAZ+9ehGXrh67o1qSIiNXTe3dpDoyCTZm0GUxk4xlmYu5/4sXc/q8vkSw/9byyeS/blrOB8+ZRW56\nQqSel8HCpMX4gj7erR3dstD6FjP5mVeYQm1XLe/Mj2dT2lwS2wPc+HQT6Y1+nHPe5e/19+I+9Tkc\nxe/xj4NP8fv3/oQl2dzyfaCihc17ann8tRIgzF9fOsD+CnNqua65q/d7NbT6MFwdpLlSwNdNw1NP\nYHG7SbvymmNGNnPT4lm7Mt9c9xXZWp4S7yEjLn3Qkh5icslMjiMQDGMLeGjduZRgSwoZ9lzOzFnB\nGdnm5gt3pIBwW6efzHizyHBtpOjw0bxnfAD1pS8Q9vupuufu49bXmy66uoO8d8hc21bf4uM/f/c6\nGCHs+XsIW4LE152Kb8eZ+CuLyWo7g2+v+fwJX5DIX5sQI2ROCwZx2Vw4rI5jpgX7J1KPvnSQ0uq2\n3rVX3njHgPuPlnHjzcQvWkxuawVr92zHGgiTHndsctVdXkb5nd8j1NlBxg034cov6K3UDuYZiEtn\np2MdpFDoiUiOLGhvaus2YyhdxicW3cy6mRdw5axLgIHHeJzsw29HqjjXy8UrzNG06M9sVpxZG2pz\n5BzG4UQ/1KLJj8tupby9Epth5xXvqRw+dS2OQIhLX+hipesUlqQvJDGcib9qJudmXgiALaNvhGr3\nYTNJdczahmvZRn732mMEQ8HeWmEApXUNGLYAWfEZND71BKH2dlLWXoLVc/ydSquPKgeR4B79lIaY\nONEK9G/sqibckUSPPp1L0q/n+rlX905Pzcw2L/C2H6jvPWeyrqth0NdMO/MMUi69jECbp7D3AAAg\nAElEQVRjAzV/vn/carJNdtEjbfqzplRjTWzC0p5JrlUR9iUQqJzN3MQFQ5aQCXYOnaRKciXECEWn\nBcPhMEmOxGNGrjq7+4qK9gRC3PnQmzR2N2DP3U9wzkZ8ceVHv2QvS1wc7Zffwr74GeQ1tHDr4/XY\nn3qR7vIyAi3N+Ovr8JWVmlee7W1kfPhmvGvM4WqrpW/0YiyTqqjEeAcG5rRgV3cAt8PBkvSFXDLz\nApKc5q7AxLi+5Koga/LX04lWor/nr4fJS8jhQEvJgKKNg0mMMz/c9leYJTaCzhZqO+vJcxWCYWFb\n4mxeSVlCot/Hmo0HuK5rDmdZ1xEoV7haZ5HtzMPqbcA9720sngY276nFmlKFNaUGw+bHn7GbH27+\nDdur9oHVnKrstpmjWbPLfDS98Bz29HSSLrhw0DZmJLl7z4m0WQ0cdnmbn0qiU7uPvVoCmGsej75g\nSfW6KMzycKCyhRSnuWOwtqt+yNdNvfQy3HMU7Vvfof3tLUM+Nlb1X6YR5ck2f25ZvuWke/vWrPW/\nYDxasKuLip/+eMjvJRPwQoyQ3WYhHIZgKIzXmUhdcwPBUJAnXy8lJdFFl89PZrKb0+Zl8M+y57Dm\nHKIO848sCFhnbkM3rESlHrtj6x1dx12P7cSauYbz3c8w92AL7Rs30r5x4zGPTb7wYpLOPrf3/6mR\ncw8XFY3PiJHNaiEx3kFzu7mV3e089m3D5bBy0coC0jzOAWvPJqv2fjs35yQXU9F+hJLW0mEXfKd6\nXdQ09U3ZNdsOQQAWJi9mDx3sLWuG5EWcnhaCfTuovvf3FDpdpGdcwN9ePoQlOQ3n7Arw1OOcV0+w\nJRWLpxG7YWd13JW8cPg1jqQfgbgjuJdDsC2ZcLeLOYd95G16A8PhIOOmj2CxD/7Gb7dZyEqJo6qh\nkziXfVwPxhZjb+nsNNauzKe0uo38TA/Xnl183N9hfqaHw9VtdLbZsFvs1HcOnVwZViuZt3yU0m9+\nneoH/og1IYG4eZN3B+VIHKhswe8PMq8wZUSPPya5sgQIxNfgIZXbL1nN23v76l31v2DsL+Tvoequ\n39BdVjrk95LkSogRckROEHj0pYM4kuMIE6a1p40nItV9bVYLqV4X561I54VA34G+9kZFjjOP0vgX\neLrkWVTqsRtpo8dbBK0Gr57ioPKMpXzCtpr2tzcTDoWwOBwYNhuu4lkkrj5zwHMLsxL55kdOIydt\n/KqgJ3mcvcdCpCY6j7nfMAxuv3bJlClUuHJBFhveMg9jnZNczMbyV9nXdHDY5Orog3Zrg2U4LHYW\np83lr7xj3mgYWK++mRlGKx3b36Xx6Sf5YPVGHs89h4qmLLo2X8TiRRb2WTdi9ZpTOVfPupzUYBH/\nfLGVPPscKvz7sHobsHqa8BLgvI1tGE4n+Xd8A2du3rDx3XjBHP7+yqFxS7jF+HE5bFx79vC7OqOb\nVg5WtpDuTqWuq4FwODxkMu3IzCL707dTdddvqbrvXgq/eydW98jPy5tMQuEwv/v7ewSCIX79uQ+M\n6CKi/7rXy84oxJVZzZMVQc6auRxvvIMzFmWx4a1SGlu7SU8+9ufSXVnJkd/+En9dHfFLlg75vSS5\nEmKEoucLPrulnIz5fkgYuKg9EAwR57TxWqVZSLTn8HyCtflkZieSHhdPSbuXEg7jC/hw2QaegV7f\nYo6G/MfNRfx+T5gcbx4etRzPspHVphnvqbjkBCelkQTweCNXU82MjATmzEhiX3kzRd5CDAx000Eu\nHeZ5wVD/tSphWgKN5CZk443vS2yXzEpj9oxknI403EVFGA4H/ONvfPjwUxx2Z7EhYxWFiYuYm3Aj\nJR37WVaUy+nZS6msM5PXkn0uYDG5gQYWt71DUUszjkCYzFtuHlFiBTC/MIX5I7yaF1PTsjnp/N/G\n/fxrczkzV6dwpKOadn8HHsfQO4UTFi8hee0lND75OA2P/Z2M6288SS0eW6XVbb0lZzp8gRGtLYyW\nyLl13TxWL8rkZ+88A8DSDLN+nMth485PrqKsto2i7IGHowdaW6n81c8JNDaQdMFFpF159ZDfSybj\nhRihFfMze7+2hcyrmmbfwHVXM3O87GncZ5YoqM8BIN5tx+20EWxJI0SI/c19o1odPj/1LV3UNfuw\nWgxaguaOnxmenPEOZ1SiOwbBLIoZC5yRKt3WsIN8Tx6HW8voHqYkQzBylMxylY7h7CIYDpIZl9G7\nhgvg369ZjNPRV98rZd2l5H7uC3TmFlPYVc3Hyp4k/6VHWLp7C7ekzeL0rCUYhoG7vZHVjTtYX/0K\nN5c/w4cOP838hmp6wi4cl15D4qozxuGnIKaqZI+TMxfnUNvcBT3mTuW6YdZdRaWsuwR7ZhbNG5+n\np+rIeDZz3Gw/0Bdr/921Q+mKTAvGuWy8VPE6h1vLWJaxmKx+ZW/sNgvFOd4BI2HhcJia/36AQGMD\nqVdcRcZ112NxDH3O4NS/BBXiJFk2J52Prp3LAxv24nUl0gQ0dvVVZfcmOLhoRS7/9UYVac50OkKR\nQ5hdNuKcNkItqZB7kB11u1iUNp+GFh9funsTCW47dpuFZI+T/S0HASZdjagzFmZRWdfO/ooWTpl1\n/BIRU000Aer2h0iz5VIaLmdv/UFOyZw36HOCoTCGAbddvpD36q3cu/MVsuLTsRgGC2em4D3OIljD\nMIhftBifkc7z//s0axq2kVS6l5bSvbS8+ALWxESwWAg2N7Mm8pwQBuQXoYtX4Zk3j+VLpfijONbs\nXC8vvVuJPWCOXNd21lPkLRz2eRa7g7Srr6Xqrt/Q8MRjZH/q0+Pc0rFTUtXKwcoWdhzs2x1Z3+Lr\n3UE5lI5IchXvsvF89TashpXr5lw57POaX3yBjm3v4lZzSVk33Pi2SZIrIUZhcWTXjqXHAw440lED\nJAOQn+GhLdCMP+QnJz6b6HLHeLed5EQnoY4k4i2JbKrawrxUxRuvm1dG0YKj+Znx7GnYR5LTO+Sx\nNxOhONfL1z68nGAoNC47EieCM7KLrtsfZNObfpwKXjqwY9jkymqxYLEY1PnMUcbMOPOq9wvXLRny\n+yXEOdjtKWJ3wkw+tiaHpanQuuk1OvfuxbBacC5YyN9bUjlkTaXNFscfv3oec2QxuhhCdMTUHjST\nq6HKMRwtYekynAWFtG3ZjCM3j9RLLxuzdm3ZW4vbYWXBzBTCMKabXH796I7e6UCb1SDkbuRQYzmn\nMXjR5ajomiuLLUhZWwUzvQUkOIY+lqrub3+lacPTWNxusm79OMYI3/8kuRJiFKIHvhrdCRgJBlUd\n1USTK4fdQk1kx05WQt8UYrzLbi4+DVuY1XM+79kf47nSl2iqPW3Aa1s9LXQEOjkzc+Wk3eEVK4kV\ngMtuvv119wQJtSUTDtgoYSed/vXEDXKQczAYxmY1fzc1HdHkKn1E3y8hUsYBw8CekkLc3Ezi5g5M\n5Pz/t43WkkZy0uInbR8Qk0e8y+xTRmRacLBCosdjGAY5t32G8p/8kIbH/0HCkqU482aMSbvufmwn\nAJ44O6FQmO99fAXehGM3wpyI/seI5Z1SRo1tF692beGUxkTS05cN+dzouYH1gSOECTM7aeizNjv3\n7KZpw9PYMzLJ/ffPY08d+ah97LxTCnESRNfpBPwGGXHpVHfWYJ6lbu4mjK55yEno+8CNc9nISY03\na0XVO5iVVERZWwUNnc0DXrvDowFYnDa1t0dPFQ5H38iVEbYROFKEn26eK3t50OcEQyGskR2DNZ21\nGBjHLfZ6PP0X3Locx7+u/dw1i/nMlQv5xCQ+ZFhMHtGRq2C3kwR7PAebS0ZVINSelk7mh2+BcJi6\nRx95X8VFo88NhkK9t7V1+unwBTh4pHWwp41Yjz9IMBTCGzmOy5vmo8a2i3AYwkaI+3b+D9VttUO+\nRrQUQ2WXuVN4dvLgyVWwo4PqP98PFgvZn7wNR1b2oI89HkmuhBgFi8XAZrXQ7Q+Sm5CFL+jDcJjV\ntK1Wg7rekau+5CreZcdht+J0WOnwBViUOte8w9N3lWnxNNBmL6fYW8j8FHXyAprGoolyp8+Py2El\nUFOAEbTzZtXbhMKh4z4nGOo3ctVZR5o7ZcTHY/RPrgYrm2GzWliuMqZEIVYx8eIjyVWnL8j8VEVL\nTxsV7cdfoP6luzbx/b+8TY9/4IaUuIWLiJu3gM6d79G2+a0TascDz+zhtp+9TCAY6j2Vor+qhvd3\n5E6PP8jtv3yFPzy5m9aOHgqyPMw5zTxL0Xp4Be6aZXQGuvjNmw8MmSB2dAcwDCjvqMDAYOYga1u7\ny8s48ttfEaivJ+WS9bgKC0fdZkmuhBglp91Cjz9ETrx5JWPEmSUKLEbfmoc0d199oew0c8je5bDi\n6wmwIM2cCrJ463s/cC1eMylbO/N8mQ46SVyR5OqXf91hfiCErfgbM2jtaaO8rfK4zwkGzTVX7T0d\ntPs7etdbjUQ0mQNITXQN8UghRiYuMi3Y6fOzIHLRtrN+7zGP8weCNLT6OFjZyk8f3jbgPsMwyLjp\nFgyHg9r//R/atmwm1N09qna8uqOKnkCIHz20td8xX2HyZvqw5+/hjbYN7GncN/oAI8pq2wkEw2ze\nU0sgGMaV2MbOhj0Ue2eSGM6lpzaXJekL2d94mF0Nx8Yf1eUL4HZaKW+rIDMu/ZiSOAAtr7xM6fe+\nTdf+fSQsXU7q+stPqM2SXAkxSk6HlW5/kOzI9l2Ly7wqsxgGdV0NeB2JOK19u8Zm5ZkHGbudNnw9\nQTLcabgt8Vg9TWSnmiUdLAnmcSqTbZdgLEtMGLizzx3d0Qnc/foT6IrGY54TDIWwWQ2OdJiHIvff\nwj0cwzBYuyKfawapuC3EaNltFhw2Cy0dfualzMHAYF/TgWMe13+d0oHKlmPud2RkkH7thwi1t1N1\nz10c+tIX6C4f/LiuwRysbKW1owfD0UXKaW/RkP4StqxSmmwl3LX9fnbU7Rr1awK9Nfai2hPNJRRr\nZ55HgstOh8/PxYXnA/BMyfPHjF75egK88E4Fze3duBN9dAd7KEgcuL4sHApR9+gj1Pz3A1jcbnJu\n/xzZt31mxAvYjybJlRCj5LCZyVVqZHTKcJo1VsJGkCZfM+lx5u3LVTpxTltvpV+Xw0pXdxDDMEi1\n5mA4ulmgXFitYSzxLSQYybiPcyUlxsfyORksnd23XuqCU/MItaQRDthpc5byi9f/csz0YCAUxmq1\nUNJi7gU9+g16ONeeM4t1Kwvef+OFiCjO9VJR105ra5jM+AwOt5UTDA2cmuvoGv7czKRzzqXgW98l\n+aK1hDo7qPrjPUOOYPkDIRpafASCA/9Gvv+XLTjU23QZzZyauQTj0AoSqlZjM6z8eff/Ud917EXL\ncKJFlhPcdtKy/DRaSsj35DI3eTbxLjvhMKTa01mRt5TStnIOtQw8muafb5Xx4HP76PAFsHvM9V/5\niX0Fef2NjZT94Ls0/fMZ7JmZ5H/tGyQsWXrCiRVIciXEqDntVnr8IdLcZgVsw9kJQJfRTJhw71TR\nZ65cxG8+33csg8thIxAMEQiG8ITN3YQ9jjpuvykPwxpkUaastTqZ7DYLt1+1iDs+vJyLV+SzdmUB\nyfEeuvecTjhoxZpeyR/f+8uAq+DobsEDLeahukVeSZTExIoWN95b2kRRYj49wZ5IiZg+7SNIrgCc\neTNIv/Y6vGefS09lBeU/vpOuQ4eO+9j7nt7Nl+7exJ829E3DWRKacMzehsXdQa5lLh9dcAPecC5N\nR7xcO+cKfEEfG0qeH3WM0cLFX71xGavPNL++sOBcs4ZcZN1Zuy/AuUWrAdhW995xnw+Qkm2+XxdG\nLowCzc1U/uKndB8uwXPa6eR/7Rs4MjN5vyS5EmKUHHYLPf4gLqsTl8Xdm1y1W8wF6v2n9vpP/7gi\nRSt9PUFc3eYf74sNG7h3930AnJ69+KS0X/QxDINZeV4+eM4snHYraYkuwl0efDs+QLA1me31u9ha\nu6P38cFQGIs1xP6mg+TEZ5Hk9E5g64Wg95iWkqo2ZkYKiJa0HB7wmP4HlR+v0O3R0q+7Hs/KVXSX\nHqb8B9+h/u+PHjPVtnmPuTNv005zitzt7cQxdwvW5FpC3S4ye8y6bz3+IIFgmEqdTKorha11O/AF\nfKOKsTuSHDntFrbWbsdpdfSuMYuPrFvt6PKzMENht9jY13TwuK9z3vIc6sOleOwJ5Hvy6K4op/xH\n36en6gjJF15M1idvw5ow9PFBIyXJlRCj5LRbCWMOiyfakyLTgmE6DHNReuEgU0XR7fe+7gCBzniC\njX1XRwtS5zI7qXi8my6GkZYUOazV78JfshCAVyo39d4fDIXweQ7iDwU4JX3hRDRRiAFy0uKxWQ0q\n6zso8poXdodaygY8pv+0oM8//PFVFrud7I9/irwvfw17RiaNzzxF9b13429qOu7jl85JJXn+HgxL\nCCrnk9twCZefbm7c8QfMacMNb5WxKvtUeoI9bNBvEgoNX/ahsr6Dx149xDv7zAvXup4qGnxNLEqb\nj8Nqx9/YQM7hbZxXt4WuF/9F9StvssCXTFXLETr8nb2vEx25K5jjo83fzqmJc6m57w+Ufusb+Ovq\nSFl/OWnXXjemayGliKgQoxTd9dXtD+Kxeqm1VGE4fPhowWJYyBik7pHL2TdyVV7bjqVtOd9et5jK\njirmpsyWRc6TQJq3b81buDselTwL3XSA6o4asuIzCYb9tHl2E2dzc+6MMyewpUKYLBYDb7yDlo5u\nMuLScdvclLT2rTmqbuzkvzfsAUI45m4Bew8HmwsoTioc9rXj5ijyv/Z1Kn/9C9q2bKZj9y7y/vPL\nuPIHTofnzG5ib10d7o4CPnXOFcyObOIBuP3qxfzgL+/gibOzInshT5U8y78ObCLckM9Va4Yu4vmb\nR3eYZydGbKl7G4DTOlKouucu2re9S5bfTxbAxj2UbYSzgJU2g93vfp/WtOUsvPDM3uRqe+NWMuv9\nnPLM67Q1t+AsKCR1/eUkLFk67M9itCS5EmKUHP2OTYm3mG8i9uLtdBldpLtTsQ1S98gdGblqbPNR\n1dDJvIJk0uJSSItLOTkNF8NK87p7v7YYBmfmrkQ3HeD5sle4ce41hOOaCFv8rMpZNWgVdyFONm+C\nk9Lqtt7aTbsbNW097bS2wDfu2wyAO70BEs2Rp59vvQu3zc2nFt3M7OShR8ytHg8zvnIHzS++QN0j\nD1Px85+Q/YWv9HtEmJ3tW7BZbHz9wg8fM1U+K9fL/MJkdh9uwoWHBH8O7Z4jvHnwwLDJVVN734J6\nW2I1NW+/xTWHQzjKHqYNsKdn4Fh9Fne/0058oIskfzsp/maKQ4fx7qvEu6+SxjeeYrk3h5lhSH2o\nmoymAGHDIPWyK0hZdymGbXzSIEmuhBil6MhVaXUbOc4CdrS/idXTjB+Y4Rn8gN3oWocDleZulexU\n+XCebJI8fetRQuEwv72/jqTlXt6o2kIwFMTiNXc6DXdshhAnkzfeQTAUpsMXYKbXTK4OtZTyq/vM\nhe0piU7mnNbD9nrwV8zGNeMQXYEuHt73GF8//QvDjpobNhvJF1yExeWi5s8PoL//A/Ky1lDhzsSS\nXEttVx1L0hcNugZRzUhi9+EmXt5eSUpgFu32I3Qn7SccvmDQ7+0PBPEHQljCQea2l3LWkTfxdpo1\ntNyz55B2zQdxFZllTS4uqKKpvZuZeUn8/KGtzF02l9aOTRQecDD3sI/M5goygYAFgkUzyL/iQ8TP\nX3DiP/ARkORKiFGKni/4u3/s5OOXzqPn0EIcRTtJcnq5onjdoM9L9phna1XUtgMDK3aLyWF2bhLz\nCpI5pTiVt3UdBypbaNmzgJxle9lcsxV75ASMosjCYSEmg+i5fY+/WsLmynYogD0N+wFzsXtmmpPd\njXtxhhLpOlJErn0JJfZXqKaG2s46MkdYr837gbN45Nm9rKl6gxsr/8XfZ6ymvKgEh9XBupnnD/q8\nNUtyeXZLOY++dBBPXCKhYjcBbyn37fwfbl14IxbDnA0Ih8O8u7+e4sw4uvdprqx6iaLOSuzhIEEL\nVCzKYdX6j+GaWTQgKTtzsfmHmZQczy8e2kqgPpeOLA/vLu/inQVJ2Cvm4c7ZR1J6Hl89/fMnZQmG\nJFdCjJKjX6VtfyBEsD6Pi5YtYs2CoiF3jyUnmm+A5ZHkKl6Sq0nH6bDypevN9RfnnzaDJ14r4YnX\nDzOn83Le8D+C4e4g5HMTL1OCYhJJiVy4vbC1AgwPCTNcbDqyBUvCMsIhCzWe7fhDfvJYSDMGurQN\na0YK1pQaDrWUDptcNbb6SEpwYrEY7MteRLklkeuOPM/6I2/yaIuXC1Z/iNyE45+9F2hthR3buN1T\nwqtHmvA1OWhumkHznEreDe/gzSNzWZ17GiG/n9I3tlL16JM4u6qwh4MooCUuhYPpBttPgRtX34Q7\nbfBpTLvNgjfBQXNLmAVpl7Ol6VVs6ZUEZx2kHSs3Fl140ta2SnIlxCg57X2bbKPnaGW6cobdlp/i\nMRdLN7Sa25ATXJJcTWYWw2D9GYW8vP0Ib+6qIzVjNXX+tzk9Z/lEN02IAbJT4/v+E7YQKp9PKP9d\nnPPNswK7gJz4LAp9C9iPuas51G6uFy1pLWVVzmmDvva+8mZ++OBW1q7M55KVBeb7lzuTp3JP54qK\nN7jqxVbyUtvxO+qwp5lnqgbb2mjZ9Bod296l68B+CIcxgDX9X7gMemwGne572J/8GEZjC6H2dmYD\ndY4kmjJm8lY4k/QzUtG25wi2JfeWXxhKaqKLw9Vt1NQ48FcuIlA7A09eDWfNL2Zx+vhOBfYnyZUQ\no2TtV7U3mig5HdbBHt7Lm+AgLz2BijoZuZoqrBYLaxbn8OSmw1SWW4EVfPnjl1Ff3z7RTROi19EH\ngXfWZGDpOQVH8XbCPW7SO5dxxznreWX7EYgkV+FOD0bYSslRZRuOtqvEXGe44c0y5heam2+WzErj\noGM7z+d6OH9zO/UP/oV6wJaaisUdh7+2hnBPDxgG7lmziV+yFHfxLB58ZidNNY2k+FuZ5ejC1lpJ\nnL+LQHklXS4LVbNm8lbXHCrcZpkaw91Gp30TRtjgpvlXjWjUKSXRxcEjrRysbGXOjCQuOm0RcwuS\ncTtPbrojyZUQo9T/uIe9Zebum4JMz7DPsxgGn716EV/5/RsAxLvlz28quHR1IW2dPby07QiAlMwQ\nk05Gshs1IwmLxWBPqfmelOjP50vLL+Pex/bwpZtOxTAMkj39j9eyYPOlcsSoprqjdtBzMu22vovJ\nn0UOfZ4xqwPdWEVP3nwKL7uKrl3v0bF7F76DBwh0dmJLTiHprHPwrFyFLTGx9/mpS6xs2nSYeQXJ\nZKwq4CcPb8PiacCaUY41pQbCnfgPB7DH7cFwdGHxNuALB7mieB1nFIzsBIuzluRQ1dBBKAy3Xb6g\ndz3aySbv7kKMUrQoHkBlXQfeBEfvYvXhpCe5cdgs9ARCJMYNXylZTDy7zcK6VQW9yZUQk43VYuEr\nNy4D4FsPbKaspp3M5DiykxP45kdPIz3dQ11dGymJA9+nLI0FkFvLxvJXuGHuNcd97f7JlfmkAG+3\nv4jFsHDdnCtxJmTizMwk6dzBF7RHrVtVgGHAWUtyewubhtpSCbWlEqxpwjF3M46igUfXnJlyARcU\nnD3CnwTML0zhOx9bMeLHjxdJroQYJf9RB5Umj/LK6Ef/torSmjbSk9zDP1hMCmleN1efVURu+tgc\njSHEePFELtoyko99f0n3ujGAaG307vp0UouT2VL9Lh9SV/Xu2uvv6IOZbdklNPc0c0H+2eQkZI2q\nbU67lSs+YJYxsRw1ABxqT8ZfOg9rahWnZS5l05t+MGDtx9cc55UmPzn+RohROnfZwFpW0YNDR8qb\n4GRx8fGruIvJ65JVhSyZJb83MbnddOEcrj6riPVnFB5zn9NhZblK7/1/V3eIIu9MekJ+6roajvt6\n0U07AIajC1deKV6Hh7VDlF4YiYS4vjWnf/jy2fz4tlUE6/Lp2buCcwtXE+6OJ+yLH9FZiJPRiD8V\nlFIrgB9prc8+6vb1wP8DAsD9Wus/RG7fCrRGHlaitf7omLRYiAmW5nXzoXNn8fDGAwDEya4/IcQk\nkZEcxyWrCge9/+qzi3lnXx3Rc5gzXObi8cr2KjLjzMSrxx/kzge3YjEgEOw7A9BTVII/HGB90cU4\nre8v6bFaLJy/PI+URBdWi4WUxL71YG6njR/+2yqCwdCUXeM4ouRKKfVl4Cag46jb7cAvgNMi972u\nlHoCaAGMoxMxIWJF/92BcaMcuRJCiImSmRzHPV88mz9t2MumndVkOMypvQPNJSzLWAzA4eo2Sqvb\nBjzvo1dl8XDFP8lLyGFF9tiUI7nhgjm9X1v6JVEuh5WkCVqIPlZGOi14ELjqOLfPAw5orZu01j3A\na5ilLE4B4pRSzyqlNiqlVo5Nc4WYHCS5EkJMVTarBVfkPSzdnoPT6mBn/R5CYXN9VVnNwMTKiGtl\nY8PTAFw169Ljrs0aCyvnZ2K1GDFxesWIPhW01n9TShUe565EzFGqqDbAC3QCPwX+CMwGNiillNY6\nMNj3SE6Ow2YbvlYQQHr68NveY4HEOXktmQs8sRuA9JT4YWOYijGeCIkztkicsePoGFOSzNpY8Qlx\nrM4/lRdLNqE797KmcAVNHf6+B1r9ONXb1Hb1sHb2OZyplo5bG++4dcX7ngacLL/L93vJ3Qr0j8QD\nNAP7MEe0wsA+pVQDkA2UD/ZCTU2dI/qG0S2lsU7inNxcFnpLKrS2+oaMYarGOFoSZ2yROGPH8WIM\nB82F6lW1rZydvYbXSrfw4LbHUHFzqY4UyU1JdNLiKsWw97C28HwunXHhpP5Znezf5VCJ3Psd29sD\nzFZKpSilHJhTgm8AtwI/A1BK5WCOcFW9z+8lxKTy7Y+dznKV3ntoqBBCTBUuhzm28vvHd+K1e5mX\nuICm7mY++/B9vHugFiwB4mdUYJ+xD8JwZu7E146aSk5o5EopdQOQoLW+Vyn1BXzLYHMAAAxxSURB\nVOBfmIna/VrrSqXUfcCflFKvYZbUuHWoKUEhpqLM5Dg+c+WiiW6GEEKMWnTNVVd3kPuf2YvfWkjY\nugcjcz+u5DIwQtTb/RhAqLZg2LNTxUAjTq601oeBlZGvH+p3+5PAk0c9tge4YWyaKIQQQoix5LD3\nrXF+a3cNhgHJ3vPIOuUQJewFYIaxiP3vJRDuTBzsZcQgpIioEEIIMc20d/kH/D8chguXFXFl4RUE\nW1LxVxYz334G4U4vMDVrTU0kSa6EEEKIaeaU4lQActLie2+bW5DMjDQv4YMrOCvznN6DnqdqlfSJ\nJAV6hBBCiGkmJdHF/V89l7KaNr71wBYAslPjsdss3PPFswEIhkLUtXSxeqFs2hktSa6EEEKIaSo/\n08OqBVlAGLtt4GSW1WLhqjXFE9OwKU6SKyGEEGIa+8T6+RPdhJgja66EEEIIIcaQJFdCCCGEEGNI\nkishhBBCiDEkyZUQQgghxBiS5EoIIYQQYgxJciWEEEIIMYYkuRJCCCGEGEOSXAkhhBBCjCFJroQQ\nQgghxpAkV0IIIYQQY0iSKyGEEEKIMWSEw+GJboMQQgghRMyQkSshhBBCiDEkyZUQQgghxBiS5EoI\nIYQQYgxJciWEEEIIMYYkuRJCCCGEGEOSXAkhhBBCjCFJroQQQgghxpAkV2LcKaWMiW6DEKMhfVZM\nRdJvJ49Jl1wppaxKqazI15OufWNFKWVRSrkmuh3jTSllBZL7/T/m/vilz8aW6dBnQfptrJkO/XYq\n9dlJVaFdKRUH3Ak4tNa3TXR7xotS6lPAWqAU+LnWunSCmzQulFK3AjcA5cBG4H+11oGJbdXYkj4b\nW6ZDnwXpt7FmOvTbqdZnJzzzOyq7DgBFQJFSan3kfuuENGyMReNUSp0KXAV8BXAA/x65fcJ/F2NJ\nKbUEuAz4FPA4sBzIndBGjRHps9JnpyLpt9Jvp5qp3GcntJMppVKB+H435QONwE+A9UqpDMA+EW0b\nS0fFuQwo11pr4FFgtlIqCbBNVPvGilLKq5SKxnkVsE9rfRDYDpwO1E5Y48aI9Fnps1OR9Fvpt1PN\nVO+zE5ZcKaX+A3gG+I5S6suRm3uAV4FdwBLgH0DeVJ477hfn95RSnwb+BISUUv8AHgRqgB8Bn5iw\nRo6d7wG3R77+KfDzyNdu4JDWumtCWjVGpM9Kn52KpN9Kv51qYqHPTkhypZSaDVyEOZT5C+B8pdQN\nwCzgVuBu4Ahm9t2gtZ48C8NG4ag4fwZcDVyJOTztAE7VWn8C2EwkA5+sHWU4SqmzgHOBFUqp+Vrr\nVqAucvd1wLuRx61QSmVOUDNPmPRZ6bMT1Mz3Rfqt9NsJauYJi5U+O1EjVxnATqBTa10OfAf4FuAC\ntgLfB64B9gIfmqA2joWj4/wm8F3MP+6lwEKlVCHmsK4PYLJ2lBHIB/6IebXxcQCtdVApZQeygAal\n1APAxyauie+L9Fnps1OR9Fvpt5PacZLcmOizJy25OuoH2AQUAzlKKUNr/RrwMrBMa3271noLEAJ+\nqbW++2S1cSyMIM7NwCXAhzGvrv4XeFBr/fuT3tj3od+i0Wgf+ivwMPAOkKGUuiBy+xzMYfhrgee0\n1p/UWtec7PaOhlIqXimVEPk6+vuMuT47ijindJ/tH2fk/zHXZwGUUrbj/F3GYr8daZxTvd/2j9OI\nxX6rlEoBMiNfRxenx0SfHdfkSil1qVLqD/3+b4n8sHYD+4DrgdTI3ZuAksjjbFrr0GTvGFGjjHMj\nYNVabwQ+D5yhtX7opDf6BBwvTq11CEBr7dNaVwH7gReA65VSVq31LuDLwOVTIU6l1O2Yb1yLIzcZ\nMdpnRxPnVO6zA+KMxT4LoJS6A/gNZjIBsdtvRxPnVO63R8cZc/1WKXUL5u/s3/rdFjN9dlzrXCml\nPo+5gHC51npnv9uXYy5I+wBwELOT/AfwHa310+PWoHEicaqzAI/W+qnI/2cD3wD+orV+bkIaO0pK\nqXTgFcyrwp9orduOuj8mfpcSZ+/9U77PAiilnMCPAT9wD7BYa/23fvfHyu9T4iQ2+q1SahXmtG0J\nMBP4ttb6jX73x8Tvcly2pPa7OjQwt8D+GFgX6Tg/AU4BbgJeAlYB64GvRa4wpgyJszfOhcDn+j2l\nBPiC1rr+pDf2BGmt65RSu4ADwDeUUsmYw9NfwVxUuZQY+F1KnL1xLmaK99mIAOaC7ceATwO2yAfu\nj4ih3ycSZzTOWOi3xcCdWuuXlbkrcCHwRuTz5OfAfOAWpvjvcsxGrpRZCTestb43MnfqBO7RWt+k\nlHoHaAB+D+yNDPtNSRJn7MR5nBhvxRyivgdzm+//Yc713621nrJ1YyTOmI4zH7gDKMPcQbWBvjh/\nq7WuG/yVJjeJM3bijMRo0VrfHZn6C0f+Ru8BHtJab1RKOYCFWuutE9vasTGWa67WAHcopeK01kHM\nehsHlFI3YY54nAL8K/pBrCZxZdVhSJyxE+fRMe4Cfgf8OfImdjvmVVMjTNkYQeKM5TjLgHbMsgM7\nI+tQPg1cijlSJ3FOftMhzjXAVyIxhpVS9sjf6D7ggwBa655oYjVFYxzghJMrFTk8MfL1AqAV0MAP\nIjcnY76ZfQCzZsVWzCF5wNw6eqLf+2SSOGMnziFivDNy8zvAn4GUyP8LgCd15IyuqRAjSJxMnzh/\nFLn590AVsDjyoVQIvCBxTk7TIc4hYvx+5OZQ5N+NQKNSKrv/86dCjMMZ9bSgUioPs+ZEBvAk8CzQ\njFlfoxLYAazXWu9SSi3WWu+IPG8WMHMKLbqTOGMkzhHGuE5rvVcpdR7m2o1czDeAH2qtX5yIdo+W\nxDkt47xUa71bKXUFcB7mdvw44Lta62cnot2jJXHGTpyj+duMPP5UzIv2X8fKdGDUiYxcfQRzLvhz\nQDbwRSCoTe2YRw58D6DfB7FNa31gKnwQ9/MRJM5YifMjDB9jdLTjZcx1Oj/RWl80VT6IIz6CxDnd\n4oyOBDyutf4s8P+01h+YCh/E/XwEiTNW4vwII48RrfXbwP2xlljBCEeulFIfBc7G3BY5EzOLPhQZ\nvfgkUKm1/lW/x1cCn9FaPzYurR4nEmfsxDkdYgSJU+KUOCez6RDndIjxRAw7cqWU+iGwFvgV5iLm\nW4BPRe6uAJ4HCpRZaTXqZsz51SlD4gRiJM7pECNInJG7JU6Jc1KaDnFOhxhP1EimBb3AvZFhu99i\n7r65QSm1RGvtwzw80QW0q0ipfq31C1rrPePV6HEiccZOnNMhRpA4JU6JczKbDnFOhxhPyJBFRJV5\nltHfgbciN10HPAG8B/xKKfUJ4HzMEvVWrXXPOLZ13EicsRPndIgRJE4kTolzEpsOcU6HGN+PEe8W\nVEolYg7xXaa1rlZK/RfmFudM4Ita6+rxa+bJI3HGTpzTIUaQOJE4pySJM3binA4xjtZojr/Jxfzh\neZVSvwZ2Al/VWvvHpWUTR+KMHdMhRpA4Jc6pSeKMHdMhxlEZTXK1BvgqsAzzkMgHx6dJE07ijB3T\nIUaQOGONxBlbpkOc0yHGURlNctUDfB34aYzPnUqcsWM6xAgSZ6yROGPLdIhzOsQ4KqNJrv6ktR6b\nU54nN4kzdkyHGEHijDUSZ2yZDnFOhxhHZdTH3wghhBBCiMGd8MHNQgghhBDiWJJcCSGEEEKMIUmu\nhBBCCCHG0GgWtAshxKShlCoE9gG7Ize5gR3A7VrrmiGe96LW+pzxb6EQYrqSkSshxFR2RGu9RGu9\nBJgLHAAeHeY5Z497q4QQ05qMXAkhYoLWOqyU+iZQo5RaDHwWWIh5BIcGrgJ+BKCUektrvUIpdTHw\nHcAOlACf0Fo3TEgAQoiYISNXQoiYESlguB+4AujRWq8CZmFOGa7TWv975HErlFLpwA+Bi7TWS4F/\nEUm+hBDi/ZCRKyFErAkD7wKHlFKfwZwunA0kHPW4FUA+8KJSCsAKNJ7EdgohYpQkV0KImKGUcgAK\nKAK+C/wKeABIA4yjHm4FXtNaXxZ5rgvwnLzWCiFilUwLCiFiglLKAnwbeBMoBh7RWj8AVGMeLGuN\nPDSolLIBbwGrlFJzIrd/A/jJyW21ECIWyciVEGIqy1FKbYt8bcWcDrwByAUeUkpdC3RjJlwzI497\nHNgOLAduBR5RSlmBCuDDJ7HtQogYJWcLCiGEEEKMIZkWFEIIIYQYQ5JcCSGEEEKMIUmuhBBCCCHG\nkCRXQgghhBBjSJIrIYQQQogxJMmVEEIIIcQYkuRKCCGEEGIMSXIlhBBCCDGG/j/K0OYs2BlQDQAA\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1119a0940>"
]
},
"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 0x11093d518>"
]
},
"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 0x108984320>"
]
},
"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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"\n",
" .dataframe tbody tr th {\n",
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
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" <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 0x1118d8e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data[['Returns', 'Strategy']].cumsum().apply(np.exp).plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ne07T5TFNNAkNvJBlWQPcCUwHvtkvo3OakIZDEsQFv5BXaiyhsbcJgMOWOt7c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m4+c+0yptc4+dy9b8andy9ZM2Ncn2/z68uZX18ubeZ4TdrYFAyGCEci8elPfzBMKByJ19nsutL4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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1118d8860>"
]
},
"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": [
"0.041527461577269935"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rn.mean()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.98792081173312229"
]
},
"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",
" [ 98.53654816, 99.66614024, 101.80739908, ..., 99.2148541 ,\n",
" 99.02378962, 101.32409262],\n",
" [ 98.29800124, 100.14126754, 101.98598656, ..., 99.7864374 ,\n",
" 100.82879349, 99.80114174],\n",
" ..., \n",
" [ 91.86718168, 123.03382753, 106.77649285, ..., 88.53485642,\n",
" 132.61435885, 128.10249786],\n",
" [ 93.36659224, 124.90076716, 107.11693333, ..., 90.21236966,\n",
" 131.1020232 , 130.87526546],\n",
" [ 94.31117181, 127.23426283, 105.81957716, ..., 88.64177194,\n",
" 134.4293193 , 130.42713392]])"
]
},
"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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RQQKaN9EMfiuSJOEqMzEdTm5KL6rvvzXKr/zVmwxfc6HEHVQ6TOzvcCErCl94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lyEV4LYs0+jZdK8yf8szY7VP3bdkT7CjGK2KvSOJBjoDzMdydC63ovBqMddZcFqNzI+HL2sst8m\ne4lQJVcuTDfaGpBkI4a8GNg3XkKoUpFTaFoRY9UBvvurQfrHYgxOiHSuWW/Ga6kirqpYKFKl90HB\njNVRIJgRA4vPKgjV5Og0X/rcs3znP47w5E8vVITj5WoYfanCbyEyGJ8WE4xOp9Bzxs/YUJRnHxcE\nwj8+s8ov5BXGhqO4PBZcntUT34VQ8E9SCAWxbt12VYnOy5hMBXh0+EkRHQye4/GRp1E1lTe03TqH\nlOv0MrVeAwlzNf5DYhK82BtCVTWyWYW8bK7sW7ZMWAhHnx0iGc9x/Pkhuo6uXPj9SsJYK0hOITQ/\n+nEpKum+kkGqzWDlno43YNQtnRpuavPw9t/Yw+7rmhf8u91hqiyUADpLBREnD48gSfDGt4pU1mCJ\nUHV3iUlXVTWCkysrvpiN4y8MMToYobmjigO3ref2+7Zw+32buf5163CvYRFYRqavj9APvo/O7abx\n9z5acbe3buxEtttJnjyxZNov29+HZDBUvMGq7rlPmLzu3AmSVGl6XNl/oH9GjO5aORGciVC9unYV\nZX9FSTaQS0+iaRr5jB+d0Y2sNy9z9KuL1wjVVQp/ST+1ZacoKQ75wySCR9AZXThqrrui10oX0qQL\nK+tRthYUp6NkBwfQ9AZcxRQbTv5i1aTnqTHRPPfWvXXk8go/L0VVtuwSBEiSJBpb3WTSBaKhtZf9\nNjuEfcRYQuionhx5lmfGDi15jCTpMNqasKPQVmq0XIamqSRCJ5BkA0eHfcTTYsU7MUtM22QXaT+H\nLHNfw9sAKBijsywTBKHqPuNHVTRSyRw9ZwP87KEzDPeHK4TKXiohHonPb7YcK6X5OjdcRFU1fvq9\nLgp5heZ2MYiWV/n9F6Yo5BXWb748K47ZSJZ61Nm271xmz1cHZeIqzFK/xeGJY1RbvOypmX+/m/a2\nAdDfG0ZTVQa6ZwhHomy+KsuLVlWFAgkGe4JU+WzY7EYOPTnA+VMTqMvoaNRidp5X2csJQ7VIxxWC\nwWX3nSwL0tfQlsVX51hx66KmNg+2Um/Fzu11NLZ6aGh24R+LM9QXIjSVxGQWhH1yif6fCyGTztN1\nZBSbw8Qd921GliUkSWLDllp27W9es35KSaeZfOCLANR/6HcrlXQgKlrtu3ajxKbJDghdnloooOZm\nhPdqLkdufBxjYxOpri6MTc0VDzG9y425vYNMXy9KcqZwafpXTwBUImArhWy2IFssr7oovZANgSRj\ndq5HU7LkUiOoxfRVH52C1wjVVYvAeByjSUdHqfolOOEHTcHdcPuaGiEvBlVT+dyJL/BPJ79w2YZu\nhXAIrVict70snBzfcTPDllrMg+eJPfWrFZ+3K3iWc+FuOlytvO36bexudmPIFDE6TRXtFFDRXJTt\nE9YCl8mB0+hgNDHOL0ee4Qf9P+XhvkdIFZYmaSlNvEpbnXP9vLLxAZT8NLJ9G48dm0Ani4F5IjxD\nqDZ41hErCdNTsZIXlTzBaGICi96MTW9FVTWG+sJYbAZ+62M3cO87d6LTyzzxyHlC/iiJpJVzz1fR\n1n3twoQqksFk0mhtnsDhNKBpsGl7HbfesxlJEloqgHMvTSBJsGXX6hzQl0K6ZBJp27b9ip3zSmIq\nLQjVbc03oZN1KJrCG1pvXdBuo2NzHTIqE/p6oud6GBuKUp5rc02iAELS6RadgI8+NwTAgVvXcfc7\ndmA06Xnm0V6++i8v8LPvnyaySNVaPPC8aHodX7jo4ErD4Fs5ofKPxTBbDFekCm4pyLLErn3N2J0m\nrr2hDYB1mwTxf+oXIt163etE+r1cdbhSnDk+TrGosvu65jUVXSyGqW9/k2I4TNXd92JdoADDsUe0\nD0qcOEYxNs3I33ySoU/+RSVilRsZAVVF0ulAUXDf/Lo5z5Z9125Q1YolSS4cJnHiOMbGJiydKy/I\nKUPv8byqtgmaplHIhdEbqyreiMmQmD+uNs+phfAaoboKEQ+PEYtmqG1wYjTpcbhMTE9r6M3VWN1b\nrui1BqaHCKSnmEwFGIqPVLaPJMbojc6tZgp+7z8Z+uRfoubz885TjMUY+os/xf/1r8z7W/KlkwD0\n2lv5Se2NSGYLkUeXj1Il8km+evbbfOnMN9FJOu5qvwNJkugwigHvbDzL958e4PA5P1PTmQq5Gh26\nvAGhydEgmiwP/BwJCVVT6QqeXfKYYEGkzDpsc432EiGRGjo21kYyU+DO61qRpBmvKYAbG69jX/Mt\nAIxPlSYCc4LpXIxqixdJkvCPx8hmCrRvqEaWZZraPNx69yYKeYVfPVrkuUPX4B8rYI/7GItMzflu\nFUUlPp3B4dIhy7D/BjObd9Zzwx0bsNqMNLS4CYzHudgbJOhP0LLOi9155ULr+fEx9B4PetfVWepc\njlBdV7+Xj+3+Hd687i721y0sBDeZ9TTXm0kb3Rx7ph9NgxadOD5pEJ9vsec6MBFnuD9MXZOLpjYP\nXp+dN797F1t21WO1GxkZiPD8E30LHluuckpNz2/G/XLA4BNEpRBcOuWXjGdJxnPUNTlfERfxHdc2\n8d7/dX3l+WzvFO9bNl3AajeyaXsdHq8V/1h8xQvEfK7ImRPjmC2GVbdSWgqJ40dJHHkRc8c6vPe+\nacF9rJu3IFssJE8cY+xznyU/OUExFKp4gGWHBIHOB/xIJhOO666fc7ytpKMK//THFKen8T/6OKgq\nntvuWNPvoXd7UFOpBcf4VwJqMYWmZDGYvRitIvuQKRtYX+UVfvAaobrqoKlF+l56FIDqWkEcXK4i\n+bwRvWXnFR+0jgVOVv7/eECIvvNKgS+c+iqfP/UA0exMPj1x8jj58THis6qZyshPTqAViySOvEh+\nckZ/pKRTpLsvYGptYzClQ3a6sO/YQTESJj8+P5IyG185+y1OTHXR7mzlz/b9IZurNhKeSjIyEMbp\ntZLRSzx6ZIQv/+Q8f/GlFznUE8RdZWF8OMrjR0f48o/OUJzlaq1pGvkViFVbSn5UFr2ZD+94PwAn\nAl1LHcJYtqR5M81oLYq5abLxPjRDE788GcVuMXDn/hZq3BbGQ6nKgC9LMjaLmMDKPl2yRRCucrpv\nqFdM2m0bZgjb+s017D3YSi4nYTblaWwRE3o+oRGb1Ww5EcuiaeCuEvdW7Y1yy52dGIwiAlNZ5ZdK\n0LfuXlvJ/0JQ0mmK0ciSmqJXG+UIVbXFS4uziTtab1nSDHbTfpFyGUwKHWNj/9Po1DyRUnSRYrES\nqc2k8/zsodM8+IXD/PCb4l3bd2Nb5T321ti5+Y2dvOtD+6lrcjI+PE0qmeNSFLIiUpSJdaMt02vy\nSkC22ZAtlmUjVJNja0/3XQnY7CbqS9fu3F6HLMs0t1WRzxUZ+tGjC0bML8X5U5Pkc0V27G1c0CZk\nLdAUhdB//QB0Oup+60MiwrQAJL0e267dFKNR8pMTmFrbAEifF22zskOi+EFNJnHuvw6dZW4U0NTQ\nQNVd91AIBBj7p88SeOxxZKtNtDJaA15t64RCuT+tubqS4tM08RsaLVeO7L5ceI1QXWVIRboIR4Ro\n0WEWL5PVLAa1nNJ+Ra9VUAqcnDqN2+TCZrByYqoLRVU44j9OopBE0RQeH34aEMSo7MobefTn8waq\nykpW04j8/Gczn+d0FygKlh27CMey1Htt2HaK3mHJrlOL35taZCA2RLOjkY/v+V3qbWJ18tKLIop2\nw63r+MffO8ifvGs399++AbvVwENP9RMsKBQLKj97sp9Hnhuke1b67/Fjo/z+vz7H1PTSerFdNTto\ncTTxOzs+wPbqLbQ5W+iJ9hPPLyx01TSNsYyYWCRl5tzJsJhA++JbSeeK3LanCYtJT0O1jVS2SCI9\n01JIb3KTK+oYDxdx2ox4bIL8+CyiovFiXwiDUUdT69xS9L03tHHjDYPccvN5NmwVA5Axa5uT9otF\nxT25q0UEr5CdG3Xo6KxGkiCXLeJwmmhuv3J2CWVybbqKCVUwE8Zjci8roi6jdb0PgyRIjSMbwlJM\n4iRN2uhC8gpyqiTFszJwIcjIYARFUWlodnHg1nVzhNazUdatDVyYS2LUYrbicK8W0+SSQ4vem6Yq\nRAOnL5t0SZKEwVdDIRRcNNKjKCqnXhSRlEufy1cS2/c24aqysLWkpyzrAoeee4nEsSNLHqsUVU4f\nG8Vg1LFtz5V7RhNHXqQQCOC64caKwH8xOK8XzX3dt91B4+//IQDpCyIqkx0chJLGzHXTwibO3re8\nDfftryc/MUEhFsd1083IprX5E+o9Yox4tXRUxVKFn97kRdaZMJhL7Yh0FnT/DQqxVkSoOjs793d2\ndj59ybZ/7uzs/J1Z//5gZ2fn8c7Ozhc7OzvvucL3+T8CmqYSDxwiOi1WXGb5NJlYL1azKF2ORq/s\nyvRsuJtMMcu1tbvZXbODRD5JT7SfX448i17W4zG5OTRxhOlcjNyYmKAlg4FiODxvoCqExIsgGY3E\njxwmXyJY5XRfun0LGlDvtWLbuh0kSZCtReBPTaFqKq2OpkqlVbGgcLEvhMtjoaWjCpvZQGeLhzv2\nNvNXH9jHljYPgwmRetvgFoTkVP9MCe6zXRMUiipnBsLksgWU4sLfZ7OjgT+59qOsdwsCu6d2Jxoa\np6bOLLh/opAkWBL1K7MiQ/lSK5njF8Xq9GCp9119ySV+cpaOaiCg498P7SaWltjaVsW2ksN7taWK\nSDBFfDpLS0cVOv38V9Zpn8RsdeLyiNWrMWtlJDFDqMrO3h6vE53eXol2lGGxGiuT/OZdDcjylYuC\n5kpRSGPj1Umo8kqe6VwMn3XxnmiXQqeXWbdJ7N/RLqpwvT4bIKFu3gMIM0aA8RFB6N/ynmt407t3\ns3PfwhVtICKFkkTFX62M8u9VXqGno4sbbibDJxjsepB4YOlCipXA4POh5fMosYX1SF1HRwlNJdm0\now5f3as32a3b5ONdH9qPwyXSgGVyN22uITO4sAlrGYO9QVLJPFt21l8x7ZSmKIR/8mPQ6ai6695l\n97dt2UrHP/8bNfe/G73bjbGhkUxfL4XpabFQVVUc+/Zjbmtb8HhJkvC9437cd7wBU00N7ltvW/O9\nv+oRqhKhMpjF+2W01pf+W/eqNaZeDZYlVJ2dnX8MPACYS//2dXZ2/gK4b9Y+dcBHgYPAG4C/7+zs\n/O9l4X0VID19nmw6zvS0k6pqHQZDgdDQD3DYxcQ72zH9SuCYX5Cda+t2c23tbgC+2/NDQpkw++v2\ncFf77RQ1hSeGnyY3KiJDVffcBzodkZ//bE6pbzk14L33TaCqhB76HlPfeZBU1ykMtbVM6cXEU++1\nobPbsazfQHZwoDLxXIrxkm1Bo30m/TQ2FKVYUGnfWD3v5XLZjHz813fxzns2I+skfHodNouBrv4Q\nmqYxHkpVWrp0D0X4zy8f5TtfOsLE6PIlwtfU7EBC4vgiab/JZIBESVSeyST4t4dP81JfkEIuSizv\npXc0zqYWN9VuQXgaqgXZK1f6He+e4nMPdRPLmLhlY4QP3LWJW5tuYEf1VrZXb+Finxhkyr49s6EW\nk6Ap6IwunCVCZcpZGZllnVCJUFVZMFhqUPIxVGVuWmn3dS00d1RdUTE6QL7UWsPY8Mo0314tgqVK\nypplzFMvxbWv28j2PY206kvWFi1iJR3XiedciccqbUvsThNO9/KaNKtNENvARHyO+WqZUNmr9yDr\nbaRjFxaNQGViQoOVCB6tNNteK2Z0VPPTftFwiuPPD2G1Gzlw67rLus6Vhr0QQ6/kiJlrKtVzi6Ec\nDbyS2qn44UMUglO4brwZg3dlz5XeMdP30bplC1o+T+BrDwCgczqpff9vLnm8JEnUvON+9nzpCxiq\nVvcsz7mPsnXCKoXpxXwMTV2999elqKT8TOIzlHVUhv8GFX6wsgjVAPDWWf+2A38FPDhr2z7ghZ6e\nnlxPT08M6AeWdnV7DXOgaRrxwAuEwh5UVaJ9YyN6kxdNLeB0igqXxSqA1oJUIc3ZcDeN9noa7fV0\nuFrxmNyEs1EkJG5vuYl9dddQZfbwwsQREsNiYLLv2o1z/3XkJydIzfI/KYSmRAZGhu8AACAASURB\nVFfzO96AobaW5EsnmH7yV8g2G75feyeTETFB1Jf8XGw7d4GmVapTLsV4UrRIaXLMDHRLEQsQ39F1\n2+ppbPUQCaW4psNLOJ5jdCrJiZ6ZVf/EUJRMqkAynuPH3z7FX332af7loVO8cGaSbH7+JOQ2uVjn\nbmMwNjRHU1bGZCpAEVAlAz0TCqf6Qzzwk/OEY1lO+8WAcHD7zOdoKLlCT5TsHZ48KaI4v33DCK9b\nP4heJ1Nrq+HDO96P0+hgqC+ELEu0dMwfKIu5kgeV0Y3NbkSvl7HknIzExyqpmljpu3d5LJUQ+qVR\nqqY2D/f8+g4sViNXEvlxQahMyziHv1ooE6rVRKgA7E4zN9yxgeJAD5JeT+3mFgDiqiC1xVicSDBF\nNlOkocW94tX1hi2CxMyOUpV/K4OlBqt7UyntNzzvWFUtVLarxSSp6MIR1ZViptJvbsRM0zSe/kUv\niqJx0+s3XNGquCuB6LHjuLJBMkYnI1GZ0b6pOQS1jHyuyMhgWDi1+1bXW3QxaKpK5GePIOn1VN21\ntkSNdbPw10qfE4Uw3je/dcUpvMuN4lQaJK8i5acUEkyc/zyR0Z8tv/MyKGbDyHobsl68R1b3ZsyO\nDmxV/z3oxLIuez09PT/o7Oxsm/Xvi8DFzs7O2Q2mnMDsuHACWFal6PFY0a+hBclq4fNd/bnXiL+L\nQiZALCXEhDv3tmAx3MHQ2e9S03wNXp9NNAJVWHV4/dLPH88m+MrRh1E0hVs6rqv8/cb2a3mk+wn2\nNe1ia6soP37b1jv58onvkBgZwKjX07BtA26nia5DL1C8cAbf628B4GI4hLm2hpp6D6aPfoTAE7/C\ne+A6qvbuQdLpmP6WaAexeb0Pn9eG7ZaDhB5+iGLPOXxvnt+rbOqsGMR3tG7AYjCjqhojgxFsDhPb\ndjQiLZGW2rK9ntHBCK0OM88B/ZMJTvWH0esk9myqJXwuAEjc82s7eOSHZ6hVNHoHI5wejPD8GT+f\n/f0b56W9blm3n/4TF3ng/Df5yP730+qeibhEh8XgY7C4GAmJ5zmTV/jR2fUk8k7MRh1vONiBpeTs\n7HCKwSKUyKI3G+gdnWZzWxWbW0PEQ6N43Hr0BrFPPlckFEjS1FZFU/N8nUogLQhBla+Z6honVdU2\niqEiiXySSGYan89DIpbF7jTR0OghpLWQCB7BrE9Q/Qq8Fxf9E5hqfNQ2+5bf+QpjJe99OiS0Sevr\nmlc9ThTTGXrHRnFu6qRzWyNIp0kWBbkwqznGS0R209b6FZ/bccDMs4/1cbE3xBvuEy7t5eervqmd\nlMNAX+gEheQZmtq3z5lAY6EeNK2Ip24X0cBp0uEjtHXegLSGjgEAhvWtTAGGdGzO/UdCKfxjMdZt\n8rHvYMeazv1y4vTRY7izJsK2Js7W3szZHwg9kstjoWOjj1vv2oTNbuL0iTEURWPn3vm/ffxCN6aa\nGkze1ekJU0PDFIJBqm+6kYbO1jXdv+fAHiY+L0FpQdRyy0FM3pU/m5cz3xVMLYwAcjq54vPEgmOg\nKaSip+nYdjdG89pc5VWlwEh+Grunfda1HdQ1/O6qzvNqzvdXyrY4Dsz+FA5g2VxKNLp2A8aVwudz\nEAyu3jX3lUQxH8ff/TCgZ2LSitkCBrMORdqAr+N+jPZWWtaNc+LQMF/83NNs3FrL/ps7KiZ3S+HS\nz98d6eMb579LPJ+g07Oea9y7K3/fV3UtI75J3tB0e2Vbq6kNSdWQJ8MYG5sJRzNoNi+S0Uisb5Bg\nMIGazVKIxTE0tYjjalvwvOcDqECopN8Z8cfQ6ySkokIwmEAzOTH4fERPvoR/PMKLzw1jtRvZvb9F\niLCjo1RbvCSnCyQpMDkWI53Ms3lnPaFwct7nnA1PjVhtqokcOlni54cuEonn2LHOS2e9g3PnAhht\nRkxeC72KwiZk7txWz9l0jrODER57YZC9m+YaW2537OD6+gEOTx7jTx//B96y/m5e13wDABdDY0hI\n6HVuRqIWJKCzyUT3mBhYDm7zkYxnmH3XXqeZock4TxweQtVg5zovaukVCkyMVrQDEyPTaBpUVVsX\nfI5Dk0JPU6CeYDAhngm/jK5oZCAyTD4mEYtmaGh2EQwmyBXFNSLBETTT5iW/x8uFkkxSiE5j27Hz\nFX8HV/reXwyWImgF26L7K8kkyZdOYNm0GaNv5rlInTsLqoq+bR2xeAaXx0JoOosGxCem6J0S2kdn\nlXlVn7+5w8NQX5jebj8er410fBKdwUUkWkDTfOhNXqL+U+Syeapa31TxpYuOiYhUdeM+cjmVdPQ0\nowMvYXFtXPG1ZyNfMqidHh7DMuv+z3eJdHxDi/uqG1uLsWkSvX1sWL8J3yYjoedewLRtF2lnPRMj\n07x0ZIRIKMmdb9/OS0eEjKGu9G6Uke6+wNjnPgOShHXLVpzXH8C+e8+KokTRF8XCUdexYc3fjaaq\nQoiuKOhcbuKqAVZ4rsud7zRNVB6m/FMrPk98quT2r6kMXfgVnqbXr+na+cwUoKHJa3+uXon5finC\ndqWq/I4CN3Z2dpo7OztdwGZgaeOe1wCI8Hl4+MeoShast5FOFmlur6o49VpcG5B1Rq69sY0737YN\nT7WNnrMBHvrq8UoT25ViKh3ii6e/RqqQ5s3r7uL3dv025llW/h6zmw9ufx+11plogtvkoiFjQKeo\nmJqEoFaSZYwNjRWrhEKolJKoXjgKoWkagUgGn9tSifyI1gm7ULJZfvX9E5w+NsaxZy+SzxWZzsVI\nFdI02Wel+3qXTvfNhrvKgsNlZmQgzIZGJ5G40Avt6fRhUzVkJLJmHS+e85MEJFkiGkjyrts3Iknw\no+eFm/hspLMq6f4t3N/2XqwGCz/o+wnJvLA+8KcC+CxeZIObibidBq+Jd9+ow2oUXi4Hts/XZzRU\n24gl8zx7SkxOezt9ldYxZedzoNIg2yTNr4jUNIVcchi9qQq9UQSEXVUzwvSe0ADx6Wxpu0i1zqT8\nlm8pcrnIVfRTr4wg3Z8KrNqcNpgJISFRbV48EhH+yY8JfONrDP3ZHzPyd5+qOL9n+oVeybxeNCmv\nrrGTL2jk9DYKsTgTo9M4XOaKWHqlaC9ZYwz3R1CLGZRiEoNF/G6SJFO74Tcw2VpIT58n0Ps1lKJY\ntGQSA0iyAbunHWet8CuKTx1e1bVnw+CpoqgzcWrKztgsb7eJEfF8Nl5mw+CXA8muU6BpuHfvYtsN\nG2mdPsf6TA9vfOs2fuOjB2lq8zA8EOH0sTFGL0bw1tjwXNJWJn7oBUA8t+lzZ/E/8CUGPv4H+L/6\n5WVtJDKlvnvWzrUvVjI93VBqSm3ueGUjgJIkofd4KASnVuxFVRaSS5KeZPgkajG76utqmkYqIuQf\nBvPaNWCvNq4Ioerp6fED/wY8BzwJ/EVPT8/qv9X/QdDUIrnUGNHxx8glL2JxbiQUEcK7lnXzHyhJ\nkmjbUM2vfWAvB29fTz5X5GcPnV5xg1VN0/hez39RUIu8b8s7uKP1lhU1D5YkifUZsVKVG2eIgbml\nBa1YJD85WRlkypqLS5HMFEjnitRe0hvO1N5Bj+96Bkaz6PUyiqIx1B+e0U+VBOmapjHUF0JvkOc4\noy91z20bvOSyRdotYlUpSxK7N/iYGhKTwWAyx+FzAQx6mfpmF5FgCqdJz8Ft9UyEUhy9MLcp7LEL\nU7x4LkBvt55bm29EQ+Ns+ALxfJJUMU29rZZA0k5B0dFWq8ciR7l/9wXecsDHpgUmnrKWbDiQYF2D\nkyqnGb2xpF/IzRCqwLhI6dlMg6UV3AzyqQk0NY/ZMWOnUa70sxfcPDt0hEgpmlfeLutM6Iwu8pnl\nHbAvFzP6qZefUB33v8SnjvxjpUXRShHMhHGbXOjQFiVjqbOnkUwmrFu2kr04yOQX/j+yQxfJ9PWC\nJFUaPntrxHsStjYSjRfJZYtrIh3l9394IEy+rJ8yz7xbOoONmvXvxebdTSHjJzz0Q4q5aYrZECZ7\nG7Ksx2ipxWRvJZccpphfnWt4GQUFuprfwJDUwPO/7EPTtIrQ3mI1XFZ/uzKKiZUbcK4E5UbBtt27\n0Vd50blcZEuVfrIsccudnRhNOg49OYCqahUPtjLUfJ7kyePoq7y0fvJvaPv0P1B1z33o7Dbih14g\n/JMfLXptTVVJ93Sjr/Kir16dJm824i+WSLAkYduybemdXwbYr9mDmkoJH60VQFgdSDjrbkBT8yTD\nJ1Z1vWJ+mqn+b5KYOoQkmbA41hZRvRqwIkLV09Mz1NPTc90l2/6qp6fni7P+/eWenp5re3p69vT0\n9Kzsl/gfilxyhLHTnyXQ+1WSwaPIejtVLfcyMiAiTmUflYUgyxI79jbxlvfuxuE0cfz5oRWJ1Y8F\nXqI72sdW76YFe5Qthca4iCrFZw2gpmYhws2NjixLqAKlKrMaz1xTurGsk3FXJy5DnnvvF/c0cGGK\nsRKhaixFqMaHp4lFM7R0eCuau3Qhzb+c/CLdkYWdpa+5vhWTWU9sKIoB2NLmQY+oFMSsJ5orEoik\n2b3RR0vJd2l8OMq9B9vQyRI/fv4iyqwqxuGAiBQd755ik0usPs+EzjOZEg7WdbZaRiOCvLVUqxRz\nEZrdCe4+uHFBoWhZmA5U0ot640IRqhgGQwGLJUv6EpFxNil8ysz2GULlLFUStuvXEcsluDAq9pnd\nFsRgrkEtJiuRjZcLlQjVy2yZoGkaj488DcDjw0+RVwpLH1BC2TKhyVrF+Nl/IjjwbVRl7qq8EAxS\nCASwbtpM08f/N41/8DE0RWHi3z9PdnAAY0MjOpv4LdvWe9HpZbp913M6Jz5zwwoWAJfCajNSU+/A\nPxYj8PTPgbmECkCSdVQ134PZuYFsYpDgxe8BYHHOVNxZPSVx8/TiNguLobxgm9ZXIauiP2Z4KkV8\nOkMqka8I7TVNo3BJiX2mr5ehT/4lsReeW5AsqYUC8cOHGP70XzP4sY9WIkKrReLokYqjOIBWLJK+\ncB5rSzNGXw2SJGHuWEcxGqUQEWOrw2Xm4G0zzcvXb577vaZOd6Fmszj27ReR+Lo6qt/8Vtr//v9F\nMpnIDs8vBqh8Z+PjqKkU1s5NaxaHq4Uyoaui/bP/hOvmW9Z0nsuB9763YKitY/qXj5Pu7Vl2/0I2\nhN7kwVG9D0k2rrrCdKr/O+SSwxgUH5kHepj68jfn9DP874TXjD1fZkylQ/yo/+fkZw3UmcQgmlbE\n6t6Kt/XN1G/6MEXFiH88Rm2Dc0WVVjX1Tq45IESP5RA8CH3Dg184TDIx80AmCyl+0PcTjLKBd2x8\n86pfdndYBBsnnDODo6lJEKrs6EilI73Bt3BD3UBJR1VbNXdF6y8tnHeq3dQ1uqjy2Ri9GGEsKghV\ng62eM8fH+NlDp+f1l+udHqRvepBHBh5d8JpWm5HX3Slas7yx3cv73tDJyUPDqKpG7axJ7vqttZWo\n1/jwND63hRt3NhCIZjjVN+NhNeIXhCqbV5iYgBprNecjvYyW7AnqbbUMBcX32uLJUMxHRbWKbmHd\nxRxC1VkiVJWUn5igMuk8yYSG25VAknWkImfmTFDZhCBLJkdbZVs5ElWlinMOTU6Wts8iw6VS5Fxi\naMF7u1LIj4+BJGGse3kdjnui/YwnJzHKBhL5JIcmjq7ouHKF33qDAU3Nk00MMtX/IEpxpiIsdV4o\nF2xbRaTAtm0HVffcRzEcRsvnsWyYWU17a0QrGZOWY1onfsu1psVa13tRVY3xURFhvJRQgYjEelvf\njM7oopAREVWzc4YsWF2bAYl09Nyqr3/46UH843GaLUm2BETUr+98gPHSWNPQ4hap/K89wMU//jjJ\n0zMp6eDDD5EfHyPwta/g/8qXULNzK+wm/+ML+L/yJXIlF/DsMl5RCyEf8DP5pX8n+L3/nNk2FUAr\nFLBv3FDZZik1Es5enLlG5/Y6tuyqp3N73Zz3AoQhJ4DzkhYvkixjamomPzmBWlg4FZYupfssm1bf\nQ6+MVFcXaiaDY991GDwepBU2jr6SkE0m6n7ztwEIfPUB1OziySalkEJVMhjM1ch6M/bqvSiFBDH/\nMyu6VrGQoJgLYXasQ+5zQFYldbqLsX/8DEri6tLnrQSvEaqXEZlihn8//VWeGHmaM6GZVWLZDdbd\neDu2qh3oDDbGhoT4uKVj5VUl9c1isJ6c5aV04dQkyXiOC11iIs0Wczxw5kGShRR3d7wer2X1LtjG\nqSgJq8yoMqPZMjWLKrc5EapFNFRTpQhV7SURquBUCp1WxOQX/arWdfpQFI3wSBaLzsLpJwM8/8t+\nTGY9975z5xwH70BKkLjhxGiF1FyKvde3Ul1jx38xyi++c4quY2OYLXr2Xiu0YE6rga3tVVTXOjCa\n9BWdyIGSAWf3sPheC0WV8VAKl10Q3UNn/Wyv3kJeyfPcuBiA6221XAzkMesLeMwxirlp9KbFI40N\nXis6WWJdgxNvSWMj68zojG5yyWHUYoapCcE4q6oK2DzbUQrxmbJ4tUAuNYbBUo9OPzMp2J0mdDqJ\nXFxle/UWCFgxmOQK0QIqIuV0bPnV52oR+uHDjPzdp0h3XyA/MYGh2rdm1+aV4slR0Qrpt7a9B6PO\nyBMjT1NYQZQqWGo5UyeJ1bQu7ySfHmfi6D9TzIjBPH1WECrr1pnGzt5734S11Oj50oa3NfVObpTP\nUJWeoG392noiJsMvYZWfFPeIIKNycf55ErEsx56fwN30NpB06E1eDKaZd0RnsGGyt5JPj68q7VdO\nsZutBq7bIFOdHsOgh77zU4wPz+inpp/8pYguaRqhh7+Ppqpk+nrJDvRj2diJub2DxIuHmfj3/3/O\n+bMXB9G5XLT+1acAKhrM1aDccD07MlxZZORL5sPWlpbKfuZ2oUGaTdokSeLmN3Zy691ziY+SSpE6\n04WxsamiF50NU0srqGrlOpci3SPGeOsamhKXkThaInT7r19mz5cXlnXr8bzxLgqhILHnFidHhVzZ\n2VykOF11N6EzuokHDpFLTyx6XBn50j4mezP50VGQJBz79pMdHGT88/96BT7JK4vXCNVlQlU1LvaG\nSMSyHPe/xOeOf56TU6dRNZUHL3y/0icskJ7tKxNCko3oDDNmboFSd/T65pX3xHJXWbDYDEyMChPB\nTDpfETF3n54kW8jxmee+QN/0ILt823ld0w2r/nxKIoEWixN2GxhLzrwgstmCoaa2Qqhkmw2ddWFN\nRaBUzTlbQ1XIF5kOp3HJGdTYNEo6zbpNJUI2aad1ZDc9ZwPU1Dt4+wf2zmvXEUjPDMLPTyzcXkLW\nydz4erFaTafy7Li2ifs/tJ/mRif3HGjjXXdsRCfLyLJEY4ubRCxLz/gwbXUOjHqZntFpuk9PcuTw\nMIqqsXuDj/Z6J+cuRuiwiIk0nI0gIWHRXIRieZrcCQrpEUCdM7ldCqvZwMffsYsP3rd1znZH9V40\ntUAy/BITI+L7rmlwYasSE3jZWyiXHAFNwTwrOgVisnB6LMSiabYWdqMvmtC1pOc4rBssdegMTtFn\n8Ar2hdOKRaK/+iXZwQHGPvcZlGTiZU/3+VMBzoW7WedqY1v1Zm5svI7pXIzH+58lko0SyoQX1ehM\nlZoi2wtRtHSR1AOnKF5IoFmKhA59X6SQus9j8PnmtA+RZJmG3/lf1H3ww9j37J13XpvLwu6Jx7nj\njpZ5f1sJEsGj2ExjmEw5QmkfSqxAtnd+FOfwUwO89OIoI0M66jb+Jr6Od8zbp9xMfTVpv0gwRTqZ\np7ndg6nGh05TaHIppBI5BruDWKwGjOFRgg99F53DiW3XbvIT48QPHyLyC+FFVP2Wt9P8J3+Ooa6O\nTF9v5TfQikWUeBxjbR2mpmZ0DueyQu+FkCq1rVJTqYqrd9mV39Y6i1C1tYMkkVnG4BMgefI4WrGI\nc5E+eOYSUcuOjMz7m6aqZHp60Hu9iy4sl4OmaaR7xTlMzYs76r9SKEfp8v7JRfcpXuJsLuuMeFvu\nBTQiw48sm/orpIVkwmCpIzc2hqGmlroP/g6WjZ1kB/opLuLSf7XiNUJ1GZgYmeYHXz/Boz88y399\n7zjfOP89LsZH+MrZb/GpI5+jK3iWBpuIdpQJgKapFHJhDOa5bt/+iTiSJFa4K4UkSTQ0u0kn88Si\nGUYvioHFYNSRjOf4j6e+x7mpXnb5tvGbW9+1ZMPXxVBenWRr3Uyk/Ciz3HBNzc2oqRT5gH/RdB8I\nDZVeJ+NxzkQqgv4kmgZeh/gO8n4/nmob9ioDzula9ONufHV27nnHTuwL2ENMpYPIkozb5OK4/yWy\nxYVz7nVNLt72/mt414f2c/C29ZgtBiRJ4q03dbBv88wkWdUkIgA/PvoUep1MR4OTyWCSZx7r5Vyp\nX1lrrZ0D2+rQNJgcM2I3iLSdz+JlxC9IY0tVFqUUDdAvQagANrd6qHHPjdrZvbuRZAOJ4FGmxkv+\nQ60tmOxt6AxO0tHzFPMxMrFegDmC9DJcbgv5nMLYiSwaGhccx+ZEbET16EZUJSuI2Rox/ezTRJ/8\nZeXfmf4+tFwW246dmNrEfZUjBC8XytGpW1tuAuC25psxyHq+ceph/s+hv+eThz/DY8NPLXhsMB3C\np5ORtTzqiEiz1O5/H5qmkS0MkDhxHDWTmROdKkM2W3Duv37Bprc6Z9ktfeEuAEtBKSQpZALoVDs1\ntiD5gpHomJX0hblpu0Qsy2CPGFMmRqYxWusrk9psWN2bAIn09PkV38PIxbKWswpDjXivGxELQlXV\nqKuz4v/iFwCo/92PUHP/e5D0ekIPf4/U6S7M6zdg2bABSa/HWFePls+jpoTOsxiNgqahrxLvhsHn\noxAOzem6sBBmE38lmRQFASXkxsQzXCZU1rYZ/yfZbMbU1ExueGjZRsmJoyJV7Lh2/4J/N7WI8+ZG\n5uuo8uNjqOnUZUWniqEQajL5sr8zK4XBK56ncluxhVCu8MueHiBXKkIxO9qxe/dQyE4Rn1q6BVI+\nLcianLeiplOYmpqQSnYVAJmB/sv+HK8kXiNUa0TX0VF+/J1ThKaS2JwGUpEi7mAT79v8DrZ5NzOV\nDuEyOvm9Xb+NQdZXCFUxFwVNqYRIQTToDPoTeGvsGIyrIz0NlbRfjNGSjYJ5mxi8MhcN7G/azQfW\nSqZeeI7QDx9G7/GQuXYrRbU4JzJUFqajaRgWqWrRNI2paJoajwV5FoEsR9J8tYKUFEqrIKVWTEJm\nt8w979iJyTzfKk3TNPzpID6LlwMN+8gqOU4ETqFpGqFMhMIlq6KaeueypesjRvHiKkEj6UKGjc1u\nnICqaKiKih5orXOwb3MNOlnimVMTrDOLl77eVktPKe3aWj0TDdEbV59elfUWbFW7KObjhIJFLOYs\nnpp1YpDxbENTc0yc+1eSoWMgyZhs86Mg5fTedCSDoTFHSp8gnJ0rHC6n/crEbLXIjY0y9eA3CP7n\ntylOi8+eOiuiZ+7X3UbLn/8fmv/kL/C8/o1rOv9KoGkap4JncZtc7KgWkRiXycE7O9/KvqZdXFt7\nDXaDjceGfsV0bv5K15+eosMgni9lNIN1y1Zs67ZjUL3ItSamfvxNYEY/tRiyyWFyqZm0s94poszF\n+OpX15m4iKSoAxk850RKdmrAQ/r8XEJ05sRY2feR8eHoolE4ncEu0n6psRWn/crjSHObB2NdPTqn\nE+PRJ7CYxPtr6z+Okojj+/V3Yt3YicHrxf262yqal6o33lU5V7kNSiEsJt5CyYG7vN3g84GiLOnM\nrRQzjJ/9J8IjPxXl9We6QNMwl6orc6WIUX58DJ3DgdE9V7dmXr8BrVAgOzy0+DXSadK93Zha2xYt\nrjE2NIJOR250PqGq6Kcuwy4hO1wqMmmbv0h6NSCbzctGEMuEKvL9nxJ6+HuV7e7G25F0JpKhk0tW\nceYzk+gMDoqT4jzlOcVSsiLJ9i9cdHS14jVCtQZkMwWOPT+E2Wrg4Nuaubj5RVS5SIt/O9d4d/K7\nOz/AH+35CJ/Y+xFcJic1Vh+BUrPfcs559moyGEigKhq1jSuPTpVR3yIG7/GRKCMXI8hmjcO6JynY\nUrhj9Xx4+/vQy6v3b02eeonAN76GbLPR+LFPUFsvxJ2z034VQsXi+qlEukAmp8zXT/kFcaprF8fl\n/ZP0RQc4YXmOVPs4b333XsyWhVtaJAspMsUMtdYaDtRfi4TEI4OP8qfP/w2fPPwPfPLQP/CrkWeJ\nZeOMxMc4Eegills8WpAtZnkxfoi8MYNj2sdgeISNzW48zBBAqyTRWG3HYTVyy65GpqIZjj/jpTC2\nnsETTTx+bBSTQUdb7UxBwVIaqqXg8O0jkzWRzxuo8ioVYbvDtw+rewtW9xZsVbvwtrwJWTe/gME5\n67v2bRa/feQSQmW2tyHJRjKxnlWXrWuaRvCh7woXQE0jflisQlNnTiPp9Vg2diLJMpYNG5ANL19b\nkng+QaqQptXZPMcC5Lr6vXzi4If5ja3v5L6ON5JXC/xk8LF5n2EyNcVGkyDa6mimEmV1ddwCgLze\nDDodlk2LT5K55AhTfQ/OqRC8nAhVNiEIVe7EEA0NdiQJYtZmCqFgpeF4PlfkQtckVpuR9o3VpEoR\n6sVg9Qiy6e/+EpGxRynkFicvhbzC5FgMb40Nq92EbDTS8Ht/gGzQUx/oQkbFOdKF8/qDuG+9vXJc\n1d33IlttmJqbse2YqSLWl3rZFSPhOf8tN+GdaW+z+KSdSw6hFtOkwidJTB2u6Ke894p2srmxUWEu\nHAxibJzfM7I8OWeWmJzT586ComDfuWvRfWSDAVNDA7mxsXkRtXR3WT/VudChK0L24tVFqAAMvuol\nI4iFzBRaSoG8RrqnuyLYl3UmLM5OlEK80iRe0zSmJ35V8ZtSCkmUQgKjpb6iSytr18ztHaDTkelf\n24Lv1cJrhGoNOHVklEJewd5Z4OtjD/BWR4Km9XGKGY1TR0R6qMPVSpVZTKi1Vh95tUAsF5+XcwYI\njJfIRcPqCVVVtQ2TWc9gd5BsukDRGwcJDu7bgqbCmZMLC7aXQ/D730XSu0WcNAAAIABJREFU6Wj8\ng49jamikySEqw+YSqpk8/6IVfgvop0BEqExmPVUdYgDMTozzre6H0fQKb7/zRlyOxT1uylGyWqsP\nj9nN7prtJAsp9LKeHdVbySpZftj/Uz744z/hM8f/ja+e+zbf7fmvRc93aOIoGSWL1hRDpxo4f3qc\ntloHs9e5dXYThpIO6V13bOBD927BbNBTnFjPVEBic6uHP3rnLmzWmd9wKQ3VYug7H+D5J4N0nRXN\nqn319srf9EYn1e1vp7r97Xhb76voqi5FOULV2OqhvlE8g5f2IJRkPWbnOor5aOWZXClSZ7pInz+H\nZcNGJL2e+KHnKUSj5MfHsHRuetlF6GVMJIX+opxWXwjXN1xLg62OI5Mn5hQvxPMJCsUMtbIKKR1k\nFIyl9JbVvQlJMqHb5MC8cQM6i2XBcyuFBKGLDwMqqpIlFRGGn/oSoVosQlUIhxj+9F9XiEEZmqaR\nTQwiKQa0SIGqg9fjqbYR16xoSJUoVfcZP/mcwrZrGipFLOPDizeztXt346w9CJJMMniUqd6vL6qd\nmxidRlW0OQUglo511H/wd2gLn+KGwe/hbvBS8973z5Es6Ox2Wv/60zT90Z/MqUwrNwcuhMuESpC5\nSsqvutyAeXGj2XJaWpINREefIHX2NAZfDdat25GtVrIjgwSOi2iiaY2EqlylaFuCUAGYmlvR8vk5\nuiJNVcn09qKvrl6zfgoQETRJwtTatuZzLITL8fkyVNeUIogzz1d2ZJhibBpVyaMUE6jRPAZfDVo+\nT6ZnptDF6hELkbJ+L5ccJh54gcjYL1DVQkWQbrTWV+wvTE3i95NNJkzNLWSHh1dsMHo14DVCtUqk\nU3nOnBhDZ9F4RvcoLSYLLp3Mns4oVpuRU0dHSafmPgBl53F/eqoSIp1DqCYEoaptXLkgvYyyjkpR\nxEsTdfhxm1xs3dGEJEH3Wf+qz1mcnhbeO5u3VMqOG+1i0hpPzBIoupxgFZPN7DB5PJ3n7GC44pAO\nUDPLBymbKRCfzlJT70DvciFbrURG+wllwtzWchNtzqXFvOUKv/L3+r7N7+BTB/6MTx/4cz684/18\n6sCfc1f7Heyq28JNjQdwGZ30Rvvn6L/KUFSFJ0efxygbuPfmA6iSQrhHITgRR4dECvG9Vs1KPUqS\nxHVb6/jbD+7nbTd38Ofv3cP/vn836xtd6AyiLYGss1QafK4U05E0v3zkAt2n/UQiRsxmhfVbV6/J\naGh2s3lnPXe+ZRueUl+tSyNUAFaXWE2vptpPKxZFdEqSqHnP+7Dvvob85ASRn/wYANu2hUnelYCi\nKnN+w/FUyV7DvjihkiWZt224Fw2NH/b9tLJ9MhWgWa9DB2iTBSSjEZ1LfFeSrMdevQvJosP99lsW\nPK+mKoQuPoxSTOKsOQCSjkTwCJqmoSul/JRFCFXw+w+RG7pI7Pln52wvZCZRi2kIimfOvnM3vlo7\nRVUiZXCSvnCOYipF17O96GTYsrthjuXHYpAkHe6G22jc9odY3VtQikkKmYUJTCXd1z53MWDffQ11\n7/8NnOvbaPjI7yMb50dGDR4POrt9zjZ91VxCVfaDMlStPEKVTY6ApMO37t1oE3m0XB7rjm1IkoSp\nuYXiVJhMv3iGFyJUBq8XvaeKbH/fguRCU1VSZ06jc7srOqnFsJCOKjc2WtJPrT3dp6kqueEhjLV1\nixL45aAqOWKh7jmfMTb5DONn/3FFFXcLoSzlKFdi5sZGGfmbTzL4iY8x+vm/BUCnWKh5z/uAmbQ/\ngMWxDkk2kp6+gKZpJKZEBaOm5EhHz5HPiLnJaK0nNzqKbLGg987Mi5YNG0FRyJbsNdRCHiWzeCT2\nasBrhGqVOHVkhGJBJdPqR9LBu9tfB4CmhLnm+haKBZXu03OrImqtYhUWSAdF53hJniNYDkzEMVsN\nON2rL7GGmcpASYKAdZhaqw+zxYC7ysrU5OqdiMuCz9keOxa9hWpzFf2xi3zm2L/yd0f/mU8890lG\nHUKvlHPPRJQefmqAf3qoiyPnAwtGqIIlTydfvUOYA/q8GKIJas1e7m5fvg9UJUJlE4OxQWegyuyp\nrJhtBit3t9/Bn9/8+7yj881sr95MVskxkphf7nzEf4JobprrG66lo6aZtC8EKQOHnxKpF3+JUFkW\n8O5yWI3cfX0b62cR4XILmLWk+7qOilXazW/cyG9//AY+8Ie34auvXeao+dDpZW65s5OGZnclShrJ\nzZ9wy55FZSuGlSBx8jgFvx/XTTdjamzCeVBUjsaefRoA2/aXpyu8pmn8/bF/4YGz36psm0wK76Wl\nIlQAm6o2sNGznt7pgUqkbjIVoMMgdIXFviiGat+ciIvNKyKE6ezZBaM5yfBJcqlRrO4tuBpuw+bZ\nTjEXIRPvraT8iguk/DJ9vSSPC/Fzpr9vTiqlrJ9ShpLo7A50Dge+ekHQ095WUmfOcO7/+VuSeZma\n/CQWqxGn24LNYWJ8eHrZ91ySdDO/eWp0wX1GL0bQG2Q8nhgx//Nzzum64Saa//jPKmLllcCwWMpv\ntoaKxa0TVCVLIePHZG3EbG9BFxQEUt8h3rNyREPpK/l1NSwcKbesX4+SSFCYCsz7W3ZgADWZxL5j\n17IefaZSpV9uVqVfprvcbmbtgvTCVAA1k8HU1rbmc0RGfkr/ya8QHvoBqlogETxKzP8MajFNZORn\na6roLUfcyr9PWSRu8FZTyInf0rF1v0jzm0ykzp6uHCvJeiyujSj5adLRc2TivehN4ndPhk5UBOl6\nQzV5/ySmpuY5379lvXhWM329aKrK2Oc+y9Bf/ilKculerq8mXiNUq0AuW+DsyQnsDhPDznPU22qR\nSyaMmpJl3SYner3Mha7JOQNReeIPJEWEymDyVjrAJxM5kvEcdQ3ONbvrNpTMA911ZlR9sULgvDV2\nctkiidjqugBl+sRqbzahAri27hpkScafDhLKhIX30v42Du2wMWEQKwdN0zg3JFah336il4GSHcRs\nDVVZkF5T50TVVIbNGXQq/Lr3Zoy65TU3ZUJVY11ZeL2zSoT8e6JzK0am0iEe7nsEk87Ibc03I0kS\n9g2CIEZDafQmHRFAQYP8/OjWQihHqPSmKvovTPHkz7pRlOUHsnQyR88ZP063mU076jEYr0zfcrfJ\niYS0YIRKp7ei0/9f9t4zQJKzPvf9VXV1de7p6TA5h81Zq1WWEEJIAoGQELKQsYFzbF+MbczF99rX\nPsfX5loGY4PBNjiRjI0AE4WEhAKSUA6b8+7knHo651BV58PbXTOzE3Z2tTK+Pnq+bJjqmu7qqvf9\nh+f/PG6T17ceVHke3quuAcC5ZRuWCglYCQax1q8d3Fws5rJhpjOznIicplDhKk1lplFkhZDj/N5f\nW/ziXh5KjAAwn55gh80Ksh1tJGFOs1WhOupw+rZSzE6ZmfVi5CpVPV/z25EkCU+dmAxLzb1iktLP\n5VAZus7cd74lzt/cgp5OL2kdVflTxVOzqI1CfyrUUAmo6rowCnkiivisvsgQ5VQSSZJobveRz5WI\nhs/vmGBzVfTjMsuTi6nxOPFojvpGC5Ghb5KYfnqJ52OpECU5+/IFJWgWjxdJURZafrEoks2GXJFY\nUXy14uerVKgK6XHAwOYWgYw+nQYZyj5xbeWK3Y8xK6Z8C9aVK/L2Ndp+6aMVu5pF3K/VUOWN5hdV\nqLJ9VUL6xQdUC/ypi5vw00oZsgnRWsvGTzFz5svEJh5DVtzYvb2UctOk5y/MEgaWVxCrgWTjR38b\n/z23A+BoEFxJ56bNlGZmlnyXTp+o2kXHHwbA13gjdm8PxewkuVg/suJCCyfBMFBbllYXFxPT408/\nRX5wAC2RIPLQ6vSNXzTeDKguAOGZNFpZp2mDmwJFWt3NZtkSwCIl6NoUIhnPL1Evr6sYmyZyMxh6\nEWUJf6oScFwEIb2KYL2bK27opG63+DobXNWASkzQRebOv9AuRravD8lqXUaOvL3r7Xz+hvv5/A33\n89c33M//c/nvcsXVd7J/m4vxil3MbCxHLFXAZVfI5MucGYtjVWR8i6QP5qbFYljX6OG1mUOMOUQw\n1pJbH/dmNjuH2+oyZQvOh16fWKTOxha0aMp6ma+f/BYFrci9G+8i4BCVnI6WerJuEXx09ASQgAKQ\nTxfXtZGormbs3h4yxY089fBpzh6fYXr8/NNVxw5OomkGu65oNQ2kLwUUWaHG5l3GoTJ/bg+iFRPo\n+vrsWgrjY4LnUVn8JFk2gyvX1u0XnRScDwPxStnf0BmKj6AbOtOZWRqddeuaYO32dQAwmBAbYSg3\nhipJOK3bQAd1BQ5gbettyIqL+PQzlBZ5H+pakXx6FKujHkUVz63qqMfu6aKQHqWkRZBstmUtv9Qr\nL1MYHcGz70p8b70JWKgG61qBQnoCRQlCTsPaIALTQJ0gpqe9TYTueT+FPW8V7y03Ta5fBAdVjbaJ\nNXhUVSi2ALLFQfGcgCoyl+an3z+BJEFL3UFAJAHFRa2ixPRzxKeevKCKpiTLKP4A5UUtP2ut37xP\nJFlGCQZXD6gyYgO3uSveoROTyEEXhdwYulbA8C2SA/FaySQPUiqmiU89w8yZL4upatbmUWWOHUGy\nWnFu3nLez2NxOLDW11MYGxPehrpOru8s1lDIrMZdDBYm/Dou6vWZ6BEwdJo3vBNn7Q7KBaF1WNd9\nH4G2dyFZbMSnn0YrXVh159wKVWF8FCwW1MYmNE2sKUpFxd+1TVSnF1ep7N4eJNmKoZewqD4cvk3Y\njAr3VtYx5opiTYFlYqpKjQ9rqI5cfx/zP/oBstOFNVRH/OfPUJicwDAMkq8I7bNL6Qf5evBmQHUB\niEdE+6roFH+2ehqXcBFK+ShbdorM0lQqT48SG/gGXXYv5bxYVKy2FQjpF8GfypVzTKankSSJPVe1\nk6kEAlVukWnWGl7/Q6RlMxQnJ7B3diEp56+StHqEcON4WhB+T1cW9duuaaa3RXymcyUTwtMpXG4V\nya7z4MCjpGpEIFWcXl1AroqyXiaSj627OgXgUd00uxsZSoyYPm8PDT7GWGqCKxouY1/DHvPYNm8r\nc00DIBts393Mzp4gNpdKuayTSZ3fX0qWrbgb7ubZJxLounjIRwbWrgAVC2VOHprE4bSycdulr/DU\n2nzECgn0FUr+VWf36r25FgzDoDA2hrWuDtm+UHGsveltuHbvwXfT29Z49evDQGLY/HtffJD5XISS\nXqZxDf7UYjQ7Q9RaFHEP5MJ0kCOuS1iTIiA6t0IFooLnb70dDI3I2I/NlkkhPQKGhmORzQuAt/5q\nAKJjj6DU1FCOL23DxX72BJKiEHzv+3D0Cv5ark8EVKV8GNCxlMQzW7XrsVot1AZdRCJ5vDfdzPR0\nBrfTgqO8oMVUtbcZHVhdxLQKSZJQXc2UizG0kki0YpEsP/nuMYqFMju2naG+QcffdgewoBMEUKy0\nCatTW+uFNRBASyXR0mn0TMYkpJs/D9ahpVMr8mMEIV3C5moVm2i5jNreDIZGPjlIyTZv7mLWpnr0\ncpbjz32K5OzzFHPTpCuDAraWVuHFN7C0Sl2cm6M4NYVz85Z1D1PY29rRsxlyZ05X+FPZ11WdgkqF\nSpaXTE6vF4ZhkJ4/hCQpBJuvINB+B4GOu6jv/RCqswGL1Y2v8a0YWoH5ipH2eqH4/SDLlObFpF9h\nYgK1sQnJIpFPD6PY/CiVqrxre0V8+PhCQCXLVhxeEcx6Q1eQ6+sj/LffwkiLTkBpYI7Ij4Xh9Erq\n9I7eXvR8HqOQJ/S+ewi9/z7Qdea+9U1mvvxPzHzln5n/wffMCt8vGm8GVBeAWEQsQAmr2CDbbE5A\nNzWlyoUIDS01+PwOhs6GyedKZGMnKeVmuNkh49TFgrGYkD4zKQQ9q6X9xTAMg5ORM2aL41x8r+8h\n/mL/3xDJiRZblay9UKGqBFRzCwHVM4+e4eVnBlddeHMD/WAYODasb/y3RvXisbrNCapqQPXI/DfZ\ntw/sqoWuRWKluWyRTLpIoN7No8NPkiql2bblOmBtRd4q5nMRdEOn4QICKoCNtT2U9TLDiVH6Y4M8\nNf4cdc4g92x4z5Lj2j0tpH1htJsHaWip4WN37+DyHWJzW2s0vQpdN3jywZNk0kX2Xd+JarMw0r/2\nRnf62DTFgsb2vS0o1gvXCzsf/HYfuqGvKB1RvXerfIi1UI5GhfjeOYu+4qul+bc+hq3pjVNFH4gP\n41DsyJJMf2xwXRN+i5Ga+Cm/4bVzPVFmR36ILEkMKUHK4UqSs8qUqtO3EWftdorZKXOKL5cUm7L9\nnIDK7unC5d9JKTeN9crQEs6OlkpRGBvF3tOLNRBAbWzE4vaY7fVqJcVIiIC/2vIDsTaUSzqDp+co\n5Ms0dwaQFIVcxbjWU2OnvtnL5GicV58dOm9QZXO1YBhw4kAfDz5wmO98+TWy6SLbts3R0jRHqOte\nXLVbQbKYFSqtlDE9Jhdrbq0HVb5UtTq0LKAy20pLifK6XqKQnUR1NCBbbCY52dUtdMFS8wcol8LI\nAVGpdnZsQ5JVwBBTjcjkK9+VZLHg6OqhOD21hIMz/8PvAeC+7PJ1fx7fzbeALDPzta+QPnRA/O7X\nEVAZmkZhfAxbc/NFTcjmU0OUizGctdtQrA4kScJVuw3VufBsuIOXYfd0U0iPMH3674lPPUO5dH6v\nPMliweoPVEzCZzCKRextbeTToxh6yQyWQFSz1IZGsmdOL/E7rGm8AW/9NThrtjP1pb9FLxRxVJwm\nSFpMDbKVJzRFq96xYSPea6/HvWMXzm07yJ09Q+q1V1AqpPnUqy9f8HV7I/BmQLUGxoYiFAsLIpGx\nSoVqhgkkJGoRvJqqzku5EEWSJDbvbETTDPpOzpqmpT7KbC/Vks44zIAqlcgzO5WkoaVmRUHPM7F+\n/v7o1/h+34+X/Uw3dE5GzlT+FAvrbDaM3WKjptKGcLlVHE6r2fKLR7OcOTbDkVfHObZ/ZT+qasZ8\nLn9qNUiSRKunmWg+RrKY5sxoDIutgKFmeHDye3zwnlp+5ZaF4Kx6Da1eg2cnX6LOEeS67beBxUJx\n+vyTKDMXyJ+qYmOt2PxORE7zzTPfR0LiVzffi11ZuoC5VRcBu5+x1IS5MdVUTJ3XE1BNjcWZGk/Q\n0RNgz1VttHb6SSXyxOazKx5vGAZnjs0gy9IS8+dLCZOYvkLbb6FCdX4elVmav4gs+kKhG7pZUYvl\n40TzMXp93bR5WhhNTTCUFG2nJvf5r5lhGOQSA+gGtCgWjPwsE2UNi6uD0tzaxt4AvqabQLKQmHke\nQ9fIJQeQLDZsruUZdW3zLVisHvSWPFJQFfpGLPJ5q2haSZKEvbeXcjRKKTJvBitahQelNjSZ5ww1\niMTocEWSpaUrgL2zi8LYqFnVufWubdT4HRx+ZZwXnlpbDNHmaiUSreGlZxNMjydoaq3h2hvdtDef\nwVm7HdXZgCQrqI56irlZDF2jkF1YL4oXODFWbYWZAVXt0oBKXWXSr5iZBEM3+VPVKoRrw04s1hpR\nKQTUZnGtHG2dNG7+CNuv+yN8TTdhc7dRzE6ZbS57heScfOlFAFIHD5A+sB97Ty/eq65e9+dxdHUT\nePd7KMeiRH8iuEGvp0JVnJrCKBaxtV+4/pRh6KTnRVDnDu5Z9ThJkgl130eg/U5kxUFy9nmmTnye\n2f5vkEusfb8owSBaIm7a99ha28glxWscNb1LjnXt3IVRLJI5vCAJYrWH8DXdRHF8Ej2bpeb6txC6\n7P3U936Y+nf/Gsgy1voGZPvyoSzPviuovfUdNPz33zDbxHXvvw+1uQX/O26n45N/jux2k9r/Koa2\nPp7rG4k3A6pVMDuV5JHvHufAiwt8gVgki9trYzw3Sb0zhFEQC4CzZgOSpJiCeRu3NyDLEscPTpLP\nzGJRfWRKLg7u380r+3cgKWJB6Tspgq3V2jwn5wXZ8ZWZg2YVqoqp9AzpSsn+dLQP3dCZy4apd9Yt\n8BMkifomL4lYjlKxzEj/fOX/hQ/Y2NBygb9cfx/IMo7uhey7kC+tmfW2Vdp+R0ZHSedK4Jmn1dOE\nIis80P9tzsYXHthq2/R08SS6oXP3hjtQVbsQzBsfO689xFxGXPNqFW696PZ1Iksyz4y/wHwuwlvb\nrqOzZuXAoN3bQqacJZIX18e3SHn8fBiv2HZs3dOMJEl09IrgebW23/xsmmg4Q3tPAIdz+Sj6pYC/\nIp0QW4GYbr2ACtV/VEBV0sv86ct/yTdOfQdY4E91+zrYUNuNbui8Mi02keZ1tPxK+QiGUUTvT/P1\nuRQvFeDhTJ4Gd4MQy5TlNfkviurFHbwMrRgnPvUUWjEuRsKl5cunrNjxt70LJAPrjSHSpyoB1Wmh\nIbWYp+OsJC25vj6zQlWeiCEpyhLngWr1uko6b27ziYTHMMgPimfL6VJ597078dTYeeanZzl1dPWg\nR3U2k6i0Om9612be/f7t+N0vgWTB13jjouMawdAo5edMzpVscaCVkuuqbpjXr1qhqrQoz73Wq036\nLfCnKlIFo8NIqoqtuQWHbyFJq7n6BmwdnTg2b0ZRfVht4npVN/vq5u+94ipkp4vwd79N+LvfYe6B\nf0VSFBo+9N+WaGetB/533G5W8a2hOlP5/WKQG6pUPC/AciY59woTxz/H+JH7ySXOYnXUozrXrhBL\nkoTLv53Gzb9Fbcttoo2aHiU8/F1Ka7T8q99P+sghANSWVvKJfiRZxeZaKjNRc90NAMR//vTyz1nh\n/Dk3bESSZGzuVlwbN9Hyif+bxl//yIq/W7bbCd19z5J7Rq1voOOT9xO8625kmw3P3n1oyaQprvqL\nxJsB1SqoEqenK5YihXyZbLqIy2clr+Vp9TQLfoEkY7XXo9j8lAtRDMPA4VTZtKOBZCzH5JQPm6uF\noZm9aJqFQsFG/ynRAjp7YgaLItO1ceVqy6lohbBq6Dxxjh/Z4om1vtgAc9kwZUMzJwqrqK+IhUbC\nGUb6xUNz613bkGWJJ398cskEoF4skh8ZxtbWbmYLEyNRvv43L/KvX3qZZx/vMyUPFqPKozo6JLJ9\n2Rvhhpar+eiODyNLMl878YBpEh2dF5vCuDHMzuBWtgbEomTvrthDrGA8OpWe4dOvfYEvHvkK+2dF\n5nOhFSqHYqfd04qBQZ0zyO2dt6x6bLtXVB6GE+K91FQ0tBLRlatMizE+FMWiyDRVpCzauvxIEowM\nrLxgna3ohL0R3CkQ1ZlapbIhr1Chsqg1IhlYB4eqOuHzRgdUZ6P9RPJRDsweoS82wEB8CBDDBdUB\ng0wpi0NxmNXYtZA6W9G/mSvgni3yfDZNUjdodNVTCs9h9QfOyxf01l+DJCmkwuJc57b7FsPh7cFR\nsxG5zkZhdkCYLJ8+jexwLBn0qFaBc/3VgEqiODyNtb5hyQZfJaYD+AJOXB4bjg0LwVgVbq+dd927\nE4fTyvOP95tr17mQLSrprNig6hpcJGafRyvG8QT3otgW5GxVp6j8FLNT5lSgKyCEL4uZ9Vepqpth\noWL9cm6FakHcc2lAla/ISNjcbeiFAoXJSWytbUgWi6mhZlF9eHdfQ/v//BMUz9J7odqOqlZg1IYG\n2v7oj7HW1RN74jG0ZJLAHXeafLULgSTLNPzab6D4A3gqJsIXi6oYpnPD+roCmehx4pNPgKFhc7fh\n9G3F3/KOdQ+EyBYVT+hy6jd8mEDHe8HQiI4/umrSXCWmZysaU5ZGD+ViDLunC+mcgRC1oQHnlq3k\n+s6a3orm5zSnx5dWtZybNl80GR9EoAxi6OMXjTcDqlVQbZPNz6YplzSTP4VbcBxa3YKQbrXXIckW\nFJsfQy+il8Vxe65qR5ZhYLCNslHHZB8Y1gLIOkdeHWd2MkkimqNzQ3BFv7poPsZsdo4t/o2EHAFe\nnj6wZFLrTEwsErtC28hrBV6uZOxVyYQq6iv8pcnRODOTCRpavHT0Brnihi6KBc2sWsGC/UJ1odc0\nnReeHMAwQNd0Th2e4sFvHiafWzoRVg2oRiZFBUf2RNkS2EhvbTf3bXoveS3PV078G0WtyPi0CLo0\nV5739r7LPEe1Inaud1NZL/ONU99hIj3F6WgfU5kZ7BYbQfuFq5DvqtuGIiv8yuZ71pRn6PGJTa+v\nMhVod1hRbcp5W36ZdIFIOENTa43JhbI7rDS21DA7mVwm+KppOv2n5rA7rLR1X/jnWQ/mv/fv2P7f\nz3Pn0zHkVw+j55dKaEiShGILUC7Mn5d7Uxgfw+L2oJzjlXapcTS8YAT8w/6f0B8fRrWotLib6Krp\nMG1mmlwN69pEMqOC+6TP5umJiWdNQiJk8aIlEmu2+6pQrB7cwcvMf59LSD8Xzlrh8yi1WEkdPEBp\nblZo9SwyU7a1tSPZbCKgKsawWNwYuTxqw9LgukpMB0whT3t3L0jSEpNgECr5d//qXgzD4PEfnSSd\nXFkyJZF0oyhlsnPfJjnzPLLixNtw3ZJjVIcINAqZSYrZKaz2EA6PEPotZlemDKyEqlhjtfpsXcah\nqlRJF3GoysUkhcw4NncbFsUpqqO6bgakNnc7jppNeOuvXvUeUGwBFLWWfGoIoyIIqzY00PR/fQyl\n24/SHXhdXpNWf4DOz3yW4B13rvjz5MsvMv6XnyY/MrLqOQxDWLZYvF6s6wjsCulxImMPIck20TLr\n/RDBzvdicy9vP68HTt8W7N4eCulhsrHjKx5TDaiMchklGKRYFN/9ue2+Knw3iknUxVUqQ9fJDQxg\nDYVQfBdnybUa7D09KMEgqUMH0QrnHxx6I/FmQLUKqpNxum4QnkmZraq8XVSu2u0eDKMsyuIs2IyY\nYmc1drp6DDJZJ888KaGVDcItw2TrwyRiOZ5+RLTzNm5bWbjxdKU6tTWwiVs6bkIzNJ4c+zkggoyB\n2BANzjqubNwLwItTQizwXLJ2tUJ1bL8wU622oForlhXhWfE5c4MDTH/ln8FiwbNXEDRPHZ4iFsmy\nZVcjH/ydq9l9ZRvlss5w39L2ld9ei8PiIB5RkOwZusqdPPO9IQojoBx5AAAgAElEQVT5Evsa9nBd\n81VMpqf55Ct/RXguSUnN8Utb7iDgWGRvURlrjpw9xh++8Gc8MvQEuqHz2MhTTKSnuLpxH3953Z/y\nO7GtfPSQG6m80C8vTE6QOrh/lW9yATe1Xs9nrv0Tumo61jyuzdOCQ7GbVUBJkvD5HSTiOXNybyWM\nD4u2zbkq0+094pqPDS6tAo0NRclnS/RuqcNieWMexdTB/WAYtM2UaHvyGOEffHfZMVZ7AEMvoa3R\nxtGyGUrzYVEheIOkEUBUY4/Nn8Srethbv4vx9BSz2Tm6vO1YZAt2xUZHpYK4nnZfYXwc3ZoBHYyY\nRuu8uG9CjgBExfdlrVtftdNbfzWSbEV1NmOxutc8VlRHZOQeF5EHfwCwbCxfslhw9PRSnJtGK6WQ\nDVEVXkxIr6La9mtuE5uRxeHA1tZOfnhomTVHZ2+Qa97WQy5b4qmHl7dBSkWNVFLG60lTzk9j93TT\nsPHXsShL7Z6sjhCSpJCNn8LQS6iuFrNqVbiACpVSu3QDTeePEh76jnm/yXYHFo9nScsvl6iIZfrE\nNasS0qsBlSTJhLruwRPcu+rvlSQJR80GDL1oSj3k02OEJ7+NcqsP5dYadP31KW+v9CwYuk74+99l\n5qtfJtd3lonPfWZZ4FtFaW4WLRHHsWHTeZ8rrZwlPPzvYOgEO+/G6rh4m5vF719UtxRik0+glZde\nD103eG1mgYZhbW41K36LCemL4dqxC8XvJ/nSS+h5cb7i9BR6NmOSzC8lJEnCu+9KjEKe6GsHLvn5\nLwRvBlQrwDCMJSJ5M1NJk0wdUUQWFZAFYVZ1iEVdqZJ7FxmP9vaGkSSdeLSEy6PStMnNROg0SILg\n7HSptHSsHK2fjogHcLO/l331uwnYa3lx8lWm0jOMJMcp6iU2+nvo9XVjkSzkKg/CudyiUL0HScKs\nKnVWAipnOY0FnZmz48Se/hmTX/gcRqlI469/BEd3j2kArdos7Lu+E1mWTdL04NmlpXlJkgho3Ria\nguyN4J9rY2YiweAZcdx7e9+FV/WQzGSwlhw0NwS5snEv46kp/uHo10gUUijBIJYaH4XBQZKFJI+O\n/IzPHvwSj48+g99ey129t+OyOrHtP4F28jRz3/yGGOOfmmT8M59i+h++RDm+tg6PJEnLSOgrQZZk\nNvi6ieSjzFe4azW1DnTNWDXjh9VtOzo3iHvj8CtjS4Yc+qrtvu1vTLuvEJ6nHIng2rmLB+5qQpOl\nFceLFXsAwzAoZVa3KSpUzUvbLi4TXi8G48OkSxl2hLbynu53YK0Ye1erhgC9PlElaVzHhF/0Z48j\nBVUsshd7cxuu2SRK2aCh0u4DsNatT43eYvXQsPHXCXbdc95jZYsNu7sL2a9SLovK8ko6R96rrkby\nVirUObEcr9SC2rmvhZ2Xt9DRs8AlcfRuwCiXyQ8PLTt+255mGpq9TI0nltxzsJAs+kN2/G3vJtR9\nn6nwvxiSZMHqqMfQRcBmc7UgK3YUW4Bidmrd2j+y1Wra+shOB+n4fnKJPmbOfNlsJVpDIUrz82hZ\nse5W/d8cFWFIU/iy88KI29XWbGLmOeYGvslc/7+il3Ooawicvh4YhsHMl/+R2GOPYq2vJ3TPvejF\nIhOf/yyZUyeXHZ89W1VZ31h5P5PEJp9kfvgHzA18c8n7y8ZOopez1DTegMPbfcnes2LzUdP4FvRy\nluTsC+b/F0oaf/GtQzx4fEFPLV0boJAeQ3U2rZpUSBYLNde/BaOQN43TV3LfuJTwXn0NWCwUZpcr\n4f9H4s2AagUk4znKJd1UIJ+dSJpTWjttY3zM5yY18RiAOZpatZJZrOdjladpaxX/3nNlO/uadlO0\nZ7E1i+Cmd2s98gpkSE3XOBMbwG+vpc4ZwiJbeN+GOygbGl87+QDH5wXBtdHaxamhJF3eDkAEAsFz\nVKMVqwVfQGSePr8DX2ViLf7IQ7hzYZIFCzPf/jZ6Pk/Dr/2GWZ068MIIhXyZvdd0mGRpr89BqMHN\n5EhsWduPlNiULN4I5UpbZeB0ZcOSFdxWF7a8aFs01Ikg8qHBn3IicoZDc0dFNtnTgzWdpyZjsD24\nhdHkOLqh8yub34dDsQtH+UoWm3zpRaI/eYjJL/w1erZSPbyEWiQb/GIhPltprZ5v0k/XDSZGorg8\nKrXBpZl+Ta2TnZe3EI+KyqRhGJw8PMVw3zy1QSfB+rWrHReL5KnKptS7ATUQJOpTKE5OLJuGsdqC\naCdTjP/hZwRJewWkzgju0BvNnzoSFiTuXUHhQ/j2dkGS3hJYICHf0HI11zdfxd76tY1sy8kkmYGD\nSFYZu78bR88GJF2nLS6zJbCB4jom/M6F1R40dXfOB1dA6PLI3S4sXi/qCrISnr37UCoG1npljVk8\n4VdFIOTm6pt6sCgL64WpJD04sOx4SZJMb9D52aU6dNV/t/bsxB1Y225FdS28Z5tTBCGqsxlDL1Be\nxyBDFdZAJclwid/lDu5FK2fElFlyEPfuvaBpxJ58Aq2UppAexRL3En/4cTInjpMfHkJ2ONYd/FZh\nd7cjyTYKmTHyqSGs9iB1PR8wyferWfBcLPJDg6T2v4a9q4u2P/xjat9+K02/+dug60z/wxdNL8Mq\nqvyp6pRgdPwnpOZeJhs/ST41RHxqgTubqbTk3BVbpPUgXijxs8kIfYkMZX11xwZPaB8Wq4f0/AG0\nsrgPjw7MMzCRoLu3GcMq9oC4xwLo2D1rB3Q1192ApChEfvIwWja7KKBauar1eqE2NNL5F5+l+c47\n3pDzrxdvBlQrYH5WZEnt3X5cHhszUwlikQyqTaLDqWGRZGyuFtyBPeZkhbXiUVSd9NPLObRigl17\nStx8xxa27G5iS2AjDsXBcMMRerfWsfPy5bobAGOpCXLlHJv9G8zFbntQGP1OZ2Z5auw5JCSOHzX4\n4g+PI82JmzTo8KPIy/lYVT2qartPS6dJHXiNGksOQ5JR3/3LtP7BH+HddyUgsqz+U7O43CrbLlu6\nCXRvqkPXjWVtv0TYDpKOX5XQyyJznRqLk80UyZSyTGdmseXERqTWwExmllNRsZhUSce2ihHz5pSD\n/2P7B/nglnv50Jb3s6EieVCYEvo37j2XIbvdRH78I8rRiGkZUW0LXApsqvzOs1GxWfkqxPSZiZVV\nz+dnU+RzZVo7/StuUFfe2EVTm4/hvnl+8I1DPPd4Hza7wltu3fiGtdCSp0Tg7ejdiN9eS9hnwSiV\nKJ6TxVntAeGFVtZMbaPFKBcTpPtFKf1ce4hLCcMwOBo+iUNx0FsryOe3dbyNP7/mf5iDAgA1Ni+/\ntPFOnNa1TWTThw8hBcTzYHM1m4v5Bx1Xc13zVZQq12EllfRLAUfNBjAkLD1unJu2rPg9S4qCY7fY\nTHMnxL12LodqNdgrvMPcCgEVCCcCWLB6qqKqSxesP39gWOVRSRa76fBgc1XbfuvXo1L8lalFl2jj\n+VvfQaj7PjB0YpOPU3PjjVg8HuI/e4L01BGMVJnsD08TffQnTH7hc5TmZrG1d1zwNJ4kK9T13Eeg\n4700b/sEjZs/gt3TWVm3pUseUCWeF4bXgTvuMo2i3bt2E7rvA+i5HLP/8lWzsmcYBrm+s1g8HtTG\nJgxDF9Zkjnqatn4cm7udQnqYUn6eciFGMTOBzd1p2lutBz+fjvH0VJR/6Zvi/sNDPDe9tIpf0nVK\nuo4kK3jqrsbQS6bV0kylK3PT3laTR5VRBUfpfJwtpaYG/zvfhZaIM/+j75Pr78fi9qyLJ3axsNbW\nLuEo/iLwZkC1Aqol8UCdm4ZmL7lMiWQ8j90rMvuYo536DR/G33a7OTotKy4kWTVbfsWK/pTDU0fP\n5jpkWcIqK+yp205UDtN6jYrLs3L7qTrdt9m/tDx6Z887aXI1YGDQ7m1lMiyqJUePQjnSQKNzafY2\nmZ4mnkvQ2lGLLEv0bhEbR/LlFzFKJRq6xc2da95oZrsgfOzyuTLN7bXLuD3dm8SDtbjtl8oWCc9r\nyO44HYYIiuqaPBgGDJ0JMxAfwsCgtiReO24M88y4KC1LSAzEh4Xab7PIYjujMpIksa9hD5c3LGRj\nxcrUiGvbDhp//SNIqorvbW+n4b//BsCKrY+LRb2zjhrVQ19MiKC2dwew2RWOH5xc1kKB1dt9Vciy\nzM13bMHlsRGeSRGsc/PeD15GQ8uFK+SvF8lTp5FsNuxtbfjtPsI+EVwUJpZOUsqSF2NGtDLzlUms\nxUiH96PPF8AiobveONLnWGqCWCHO9uBmMzGQJAmf7eKuUebEMaQ68YypzibTzy3f30dpPkzylZew\neDxYGy7cgHo9kC02bPY25ICK6+rVfeKsbRXSb6KEUutfUY9nxdfV1qL4A+QHVxbqrQZU507mzs+m\nkWVpWSV1JdgqnCmbs9kMCKtJ5IUopit+UYWT3Fah6wU4vN24Arsp5+fJZc7iv+2d6LkcsSeeoPjk\nLEaugP8dt1N7y63Yu3vwveXGtX7F6p/B1YqrduuSFpVsUVEdDRSz0xj62lIt64Wez5Ha/ypKILCs\nvVtz3Q04t+0ge+okiQpZ+6XnT1CORcWwgiSJvcPQUB0NKKoXT1B0C1LzB8jERLvQ5d92Qe9pIJnF\nbpG5tt6HVZZ5fGKemWzF91DT+dsTY/zj6Ql0w8Ad3IOsuEiFX0Mv55ipTDU3BpzUXnc9I4EeVFUk\nlNVq5Vrw3/ZO1KYmEs88TTkawd7b+4byL/8z4M2AagVEKxN+gZBricee1Sn+v8a1PMoW01IL0glV\nQc8qx6qKvfUiQDgwe3jZOWazYb5z9kc8OfpzZEk2xSirUC1WPrz1PjxWN3uCu5mJZgn57NhVC/rw\nLnY4rjePzZXz/NWBL/KPBx5g4/YG/tvHryFY78EwDBLP/hxJUWipLPLntgSmKuPWjW1LN7JoMk8s\nXyZYv7Ttd3IkigFct7mLpqLQJbn2bWLz6j89R39MBDotkvjZocwBXp05RMBey566HaRLGWayc4x5\nSpQt4J9Z2SqnOoartrTg2rqN7r/5EnX33ofF5cJaX09+ZPiSeTpJksSG2l5K6SSTswOoNoXNl9VT\nyJc5fnD5RjIyEBE+aKtw4kBoBb3r3h1ceWMX7/nAbry+tSssrwdaOk12bBxHVw+SouC31zJfWwmo\nxpdm5cWRsap1G/NDS0nMwrX+EEa0hOS3kk+vLQJ4oTAMg3TkMPnUiNnu2xm6sE1jJeilEtlTp7A0\nu5AkBaujDsXjRW1oJDc4yOw3/w2jWCR0z/uRrW+M/heAu5IQ6P7VJTc0XQQ8RqK87upUFY7ubrR0\nyhQoXQxPjR2bXTElYAB0XScSzuAPudY1CKHYg9S23GYGQSB8C0FeYksDUIpEKKeWq/EDGA6xVtjr\n21FsC89ITcP1SJJCYvpZvNddh8XrpvjqGMZ0AffefQTufC+h991L2x/+Tzx79533/V4IVHcrGNoF\nC5WuhuSrr2IUCtRce/2yStqpkRj5W+9GdrkIf+/fSRw6xOEnxJj/eGWPKFXEda0VbzyHbyMWxU0m\nclSo9EsWnDWb1/1+Ivki0UKJbq+Dd7SFuLuzHgN4dFxM9D4+MU+kUGI6W+BoJIUsW/HWXYWhF0mF\nX2M6kkWxyAS8dmrffguzN95FkzeFofiRlfMH/ZKiUP8rHzL/7XyD+FP/mfBmQLUCIuE0dqcVh0td\n4rEn20V0HvKuzCOx2gIYRplSbsasUInFZwE9vk58thoOh49TWpQZjSUnuP/Vz/H85Mt4VDcf3PxL\nK7Y0mtwNfPraP6bHvgPDgG1dAT565zYMQ+J7T0wJYU1gPDVBSS/RPy/aYFZVbKa5/j6KM9O4L9tL\nqL0OiyIvy2CrZr5NrUvH47/yk1N86psHae8NouuGKblwolKduWFzD+GpDG6vjfomL01tPmYmEvTP\njGGVFcpJCcmmEzNilPQSb2m5xgwaB+JDDGcmmQlYUeailBMJ8iPDlKILPI3ipAhkbE0ia5atC9IH\n9o5O9GzWtPq4FNhkb+a+n0aJ/+Xn+crhr/Ot3NdRVIkjLw4x9d3vmcfF5jPMTado7fRjd6wuxwBQ\nG3Cx+4q2FZXxLyVMzkJF26Z2UYWqOLE0oKqKTgIwNYO+iGuRjR5HiyVBM5ADTrLxM5fUiLSUmyU6\n9jBzA/+KGj2MXbayxf/6F97k6TMYFJFqLKjORrOS7NiwAaOQJ3viGM7NW163htD54PBtRlacpOYP\noq9iIVUuxJEkG7KsrtvyqYpq2y8/tDKPKtTgIRnPU8iLdSEeyaGVdYJ16+PtSZKEJ3T5EhsTSVZQ\n7H5K+QWpDS2VYvSTf8zkX392xftDblWRAirevTcs+X9F9eIOXY5WSjA/8X2knWKjttR6qf/VDy2p\naOilIrMP/Buj938SLXt+Tbjzoap0f6mI6YnnnwVJwnvNUvmJYknjb39wjL//2Rh1v/ohjFKJ2b//\nW26YFZPJPxqTOTEUqfg5LliTSZIFV3CPyVdzeHvXDGSyZY0T4QVKQn9SXKMer+Cubqhx0ut1MpDM\n8vhEhFfmEgRsViwSPD0VRTMM3MG9yBYHqfCrzCdS1Psdpln7pmYdVdFJFNcvYuro3UDNjW8FScK5\nZeu6X/f/V7wZUJ2DYqFMMp4nEHIhSRLBejcWi7ihrHbRf/Y4Vm4R2DyiAjPT91WyidNIkmJO/1Uh\nSzKX1e8kV85zKrLAVzkcPo5u6NzVczt/euXvs7dhdeKhJEmMV3gQLSE32zoD3Hl9J7FUga8/ehrD\nMHh1RJw7VUyTLC4ETImfC5JjzQ03IssygZCLaDiDVhabqGEYTI/Hcbis1NQuBHTFkkb/RIJSWcdw\niaBhaiyObhicGI7idal4rBbyuRKNlTZWz2aRaeXGLXS6OkklCvgrejp2i42rmvaZ01sD8WFGkmOE\nQw4wDIZ+73cZu/+TjH3qz0wSdWFyAiUYXGLMW0V1nPpS8agMw6DhkdfwZHXUZBZeOoiulHE1xilq\nEif2j6GlxHU9W1W8f4Om9S4G507V+O21FGwyRY+DwjkBVeLUcQwJ5HYn1qLO8IjQbTIMg1T4NYyo\nCPxtzS3o5bSpmn0pkE8JrS9kla1KmQ/XeFBeR1vAMDQiow8xOPVN7L/WAdKCQCUseINJikLdB371\nDW9ByLIVT2gfhpYnHTm0wvs1KBdjWB0Buj77BfzvfNcKZ1kd9q4qj2pw+bl13bStqfKo5mfFn+cb\nhDAMA2MNErPVHsLQC6b0QfTRn6BnsxTGx1aUCCjbYtjv68Tds3yQwFt/jSCOp0dRd7dQc+tbaPn4\nH2BxLrQki3NzjH/6z0k88xSFkWFyZ1+/KvZCQHXxPCqjXKYUjZA+fJDCyDCu7Tsou7yUygvXbnBS\nrJvxdJFwwwba//R+ko3d2IwSZbuLqL2Wf/jxCZIJUfGz2hc4fe7AHkDcoy7/9jXfy+MT8/zN/kFO\nx8XeMJAQAVVvjbiOkiRxW2sQCXhuJoYE3NPVwN5gDZFCicPzSWSLiju4B13L0107R4N/4TtoqRHV\nx9HohQ3R1L3/A3R++i9XND/+r4Y3A6pzUFXyrhK5LRaZUEUc0+tMYcCq46LuwGUEOt6LxerF0ApY\nHXUr2lPsqrQ0qqRsgP7YELIkc03TPizy+asXE+FqQCUClNuuaGdTm4/D/fP8/Y9O8OLgGfPYwxOi\n5ZYbHCB14DXUpiZzow01eNB1w/zcyXieTLpIU6tvyWYzNJVEq2gwjSdyWBSZyFyGibk0yUyRrR1+\nZidFdlTlBXVtDCFZoH5iA8HJyqh7vZ93dN7ML228E4dip84ZwqO6OR3tYzYbJretC2tdPY7eDdha\nW9HicXID/ZRTSbRkckUDTViwbbhUPKrEcz+neOw4kQYXBavENWdLWEs67WefR9EKjPq2ETnZh64b\n9J2YRbVZloy0/6KR6+9DUhTzujS66nAodiY9GuVYzDSI1fM5ymNjzAesGE0iUA0feZhSPkJi+hlK\n+TmUrPg+ne2i3ZBNXDqLh6rRcL97O2eLZbwUKaRGLupchqExP/wDMtEjkNfQx3M4fdvxhBZaRc6t\n21Bq/QTv/iXU+v+YANgd3IskW0nNvYJhLJ2w1EpJMDQUtRbZbr9g0rW9rQ3Jal1x0m/y859DfklM\nI1er0NX2/koBlVEuM/+jHzD26fsZ/NhHGfr9T5g6Quei2pYq5cOUohHizzxlcr+qSZv5Gcs5Svkw\nqrMZSVq+tlkUJ4GO9+Ctv46mrb9J/d0fwta8MAyjZTOMf+rPKIyNmhW83MDKRPwLgaJ6hSdgZvyC\nq66FyUlmH/g3Bj/+2wz//u8x9aW/A8B19XX80T+/wpcfXpBIOD22QAQ/1BfG1tzMQx238P3OW2j9\nxMf58Ds3kytoRCKTSLIVyyIJC0X14grsxqL61lTnNwyDvrgIoJ6ejKLpBoOpHAGbFb9toWre4LRx\neUic/7qGWlrddt7S5EeRJJ6eilLWDVyVKcI9LTNLAiqrLhLHI6PqBV0vSZZNUvt/dbwZUJ2D6gRM\nYFFJ/Kobu+i60k3AVaQsqSsuClDxSqrdStPmj+Jvezf+1neueFy7pxWHYud0pE9oKWlFRlPjtHqa\nsa+jNw0wWQmomoPifcqyxK/dvgWXXeFgXxiLe4HL8NyZM2jZLNNf/kcwDOo+8EEzWApWMtjqglu1\nq2hsXcqf6ltkY9E/kcBdayUayXCs4lG3vcvPTKVVWK1QOZwq7ivTGLJO8oy41WqDTt7ZeTP7GvaY\n16zH10WmJBaDQPdmOj/1GVr/4I8Ivlfo/aQPH1xo960SUNla20CWL4l0QnFmmvC/fxvZ6WL77/4x\ndbe+C0u2wHueTxOamKc3d4ayxcaLr80zNRYjkyrQvanOVEf/RUMvFMiPjeLu7jLd6x2Kg9/Z9esk\nKtOKrxx6FIBsXx+SbjBcb8W+9WYAQnNRpk9/ieTsC0iyFTkt7kl39x4kWb1kbT9dK1DIjKM6GjkQ\nHeBkUQQbxdz0eV65HNVgKpc4g2prJv9vIyhDIYKddy7h7Cg1NXT91V9T+7abX/f7Xy8sihNXYDda\nKUk2tlSLqOrht/g9XggkRcHW3kFhYnyJCn45kSB7+iT2UfH75qZT6LrB5Jh4jgMrtPziT/+M6CMP\ni6REktDi8VVVvhcHVJGHfoxRLhN6/wdQm5pIHdxPObHQeipWKkBrTYY5azbia7oR2bJ8UCd75gxa\nOoXv5lto/t1PgCybRsuvFzZXC3o5u0Q/8HyIP/0zRv/kf5B45ilkhxPPviupvfkW6n7lQ0wFOkhk\nihzqmzfpF2dG40gSqFaZg31h4ukCU/NJ3nXTDOnCU1y5pZ6rttbjVdNkSp5lVVN/6ztp2vI7yPLq\ndIJwvkSiJCrJk9kCP5uKUNB0emqWDx68ozXIvV0N3NwsEsAaVWFfXQ3xYpm/OjbMT2fKTOk9dPiT\ntPoX2tTFzAQlzcrIvEI4/voEUf+r4s2A6hxEFhHSq2horqHcFsUtS8jnUUgGwTFwB3aZKurnwiJb\n2FjbQyQfJZyLMJQYQTd006dsPRgPZwh47TgX2db4vXZ+687t7NvmBTVHQ8WGZio9xchXv0Z5fp7T\nrXt5cHThgQ3VL50EmlqFP3W2ElDV+RwMxycYZgBdMzh6ag5Jgi2dfqYnEqg2Bf+iazeq9jG+dT9u\nr1goV1rIF4s2diwaj3du2ozscJA+fMgUllRXCahkmw1bc/O6DJbPh7nvfBujWKT+Vz+IO9RA8O23\nIbvdNM3k0STY+6Hb8GenmMnaeOZRUWVcTfH+YqEbOuOpyYsKXLJnT4Om4d26dNKo3dvKFXveAcDp\nE8/RFxsge0bwp2IttTRsFrIZ6bkCScWHv+0OmrZ+nPJcFElVsYbqcXh70Ypxc+ji9SCfHgFDx3A2\nM5aaxO0W3MRidnWB0dWQnj9ELnEGm7sDW7gdygauHTte93u8VPCGrgQkkrMvLflOy8XXF1CBIKZj\nGEva3dnTIpCyaVlsskZ4JsWhl0aZn03TtTGEalsqr1JOJYk8/GNkp4uuz32Bul/+FWBB0PVcVAOq\nQnSU5IvPozY14b3qamre8lbQNJIvPm8eW22p2VwXp2FWlfJw794jnvPWNgqjI+il0nleeX5Ug7zF\nbT+tlGHm7FfJxs+s+Jr4008hqSqNH/0d2v/8fkIf/mUCd99FzfXXc3JUrJO6YXCoL0y+WGZ4OklH\ng4cdXQHmYjme2D/O7uY5amwpSvk5Svk5fumGIIrFYGBWYWw2RaGokcwUMQwDSZLO25oeqPClbuoQ\n38uzFXmEXu/ygEq1yOwIeLDIC+d8W7OffSEvZd3glbkEj2iXkTNU6tRB85qUizEKch0GEv2ryMf8\n7443A6pzEA1nkCSQbApf+N5RTo2IzGU2NY4iSdhsl8ZzbVOFeHsm2mdOwa03oEpmiyQzRbPdt+S8\n7bVcc6V4iPbU78Qqq2yMzaAdPcC0I8TD1o08fWiSZFZkHv6QC1mWGB+OMT2TpL8vjMUqo7gWsqGy\npjM4maA55GJXbxDDFSHvEBWwWCTD9q4AFs0gGc/T0OI1H/75XJSpzAwtjSHu/tBlvP09W2loXm5m\nu/hzdywi/EuKgmvHTsqRCMlXhOLu4lbAubB3dmEUi6Ze1cUgc/IE2RPHcGzajPsyMbZscTjw3yaq\njcd6HWSb/OyUh1C0AulkAU+N/ZLLHzw9/jx/sf9vlphgrxfpQwcB8F+xfCqqsVfwMIKxMt/vf5jE\nqeOUZfBt2Iq1xoelpobyfJGHchruwE5k2UZxehq1oRFJlk2PuvT8wfO+j3whsSR4yJXzfP7QP/Dc\nhPguq+a3wxUboU2hHciKk2Ju/QFVKRqlGImQCr8KkoVgx11kj1dGzLf95wmoFJsPh7eXUn5OtPkq\nMCtU6sUHVAs8qoV7JVtR5ZZVFU92lnSywIEXR3B7bdxw63LSf+ShB9FzOQLvvgPF48XWIp7DcyU2\nqhC6exL5+REwDALveS+SLOO98mokVSX+7DMmB6uQHgckbBx5VKUAACAASURBVK6L0zDL9Z2ttK9F\n4uXo7sEolymMjV7U+RbD5u4AIJ9cdO3iJylmJ4mOP4JeXuqMUAzPUZyZxrllK66dW5k680WmTnye\niWOfYfL45xiZmEKurH8HzswxMJFA0w02tdWyZ4MIdp4+OMr1XQvXNRc/g6KLQGwu7eCTX9/Pb/71\ns3z8717gsddWvv7nohpQ3dxZx7baStcC6PKub5LYbrHwno56/mhXFzc1+dEkmf2lbVgKpzH0sknc\nd3sFT/jowPxap/vfFm8GVOcgEcvh9tr5p4dPcmwwwveeERoviYxoQzjsl4YnU9WYOhXtoz8+iIRE\n96JKzVqYrBLSV5nUGU2KbKvD20a3p5HrTs1TlmR+0nAdW7tD6IbBwTNizNpiEZYyqUSeB79xCL2g\nMV/S+MQXX+TLD59ENwxGZ1IUyzobWn30tviweGIUnKKi5ZR0rt3eyMSI2Bia2xYqWy9MCoG4fQ17\ncDhVujeFVsy0Gl31eFQ3Dc46POrSz+TeLQxpCyPDYLGs6Qxve53EdEPXCX/3OyBJhO65d8l7rb35\nFmbueQsv7nYzlw1T29PGxrD4fFt2NV5ScrNu6DxbCTqmM0srQeerWBmaRvrIYSw1PjwblqsSW+sb\nkFSVjpSV1pf6MSammAla2VAnuCm21nY8WY14bBZN1yiF5zDKZdTKZKWjZgOKWks6egSttFze4kj4\nBH93+Mt89qX/j+mTX+DowIJ34PH5UwzEh/n3vgd5dvxFcskBJIuNV2PjSEjsqNuG6mhEK8aXeYqt\n+FkNg4nPfYbJB/6KciGKy78DCRvZ06exNzWi1r0xgp0Xi4VqyELVp9pqen0VqsqkXyWgMgyDzKmT\nWDwefDfehGfRPXR1V5nc808veX1hcoLEz5/B2tCA7y3C2Fatr0dSlFUrVFVDeF3JYfH5cO8SvBuL\n04n7+suRdsmMfvZPiDz6EIXsJFZH/YrtvPNBqxDd7V3dpryFvacSQF6Ctp/VHsKi+sglB00D5VxC\nVMT0cobEzLNLjs8cEwMbru07KaTHMLQ8Vkc9qrMJXcvhlcfY0FpDe4OH06MxDlT0+ja317KjO4hF\nltjdNEWNo4grsAckC9nEWXPCr7Otk45GD9u6/LjsCg+9OEIivVz7zTAMCpUWuaYbDCcFXyrgsPHW\nJpH0t3kc2C9Q6NIiS9zQWItR0Dgt9ZAuw9zgA6TmhMRDqK6T5qCLIwMLLc03sYA3A6pFKBU1spki\nWV1ncCqJYpEZnU1xdGQGNNEKvBCVWoBSSWPwzNyyjTDo8FPnCNIXG2A0OUGrpxnHOvlT4xWfwZbQ\nygHVSCWgave0sHOggDerM9S+iY98+AY+dNsmJOCVUzPE8iIruvbmXt7+ni3olaCgs8tPU8DFyydn\nefbwpNnu29jqo6fFi+yOk68EVG6rzq7eoBlQtXRUTKK1Ei9Nv4bD4qTZujqZEsTk4/+5+yP85s4P\nL/uZa9t2JEW0J9T6BvPvK8Gc9Bu6OGJ68oXnKU5O4L36Wuxt7Ut+Jsky7l170CwSc7l5HN09NKSH\nuX17kV1XXFo7llORs0Tz4nrGCwmiP32E0fs/yeAnPsbgxz5K8uUXV31tru8sejqNe8+eFQnOkiyj\nNjXjnE9xxYksSZfMc3vcbKxY7djbxGepjeSZz0UoTgmNHlvFNiVWSPBgTuexdIbHzn53ScCn6Rrf\nOftDzsT66VEkLJJEMbkwfXZivmKFo9h5cvAhtGKcsbLBQGKEzpp2vKrHHM8vVXhUhmGYBPpzUQqH\nKc3OInWJ+9YTuoL8QD9GIU/tZXvOd5n/w1H1j6tOSRqGQSE9hqy4sFiXV27XC8XnQ21qJnPyBKVw\nmNz4BFo8jnPzFrzXXEsgJ77D7XU5tO9/lfB3v036iNDBM3SduQf+DQxDJBGV50tSFNSm5hWtiqqQ\n8lYkm4zn6r3mvWYYBtJOGcsmD+w2iL36KBiaOVF3ocgN9INhmPIfAI7u1S13LhQLBsoFCpkxdK1A\nPj2K1V6HYvOTCr9GMbeg8WUGVDtEQAXga3obwc73AdAbirKlw8/lm+rQdIPnj01hkSV6Wmpw2hW2\ndXq4rmuCsq7ga3ordk8npdwM+aQIDq/ds40//uDlfOKeXdx1fReFosaDLyxPEL/x2Fk+/ncv0Dce\nZzyTp6Av8KUanDZ+bWMzd3dcHA1B1wxSQwkMycIR+XIK6VEKmTGoOIRcs72Rsmbw6qlfrG/ef0a8\nGVAtQrJCtJtOFWgJufjtu0R75LHXRvBUFgyLemEL36vPDvHEg6cYG1pOetzk30BBK6IZmmm1sep7\nyxQZrfCczAm/FSpUhmEwlpwgaPfjKEvUv9hHwSoRev9VdDfVYLWXadg0zZj/Yf7nS5/iyNxxIQ/R\nUsNRXSPrd3DPXdv5vXt34bQpfO/ngxyoVLN6W3xoliySWqBsQEnN4TIsWGSJiZEYDqeVQJ1oQx6a\nO0amlCU1Uc8nv3aI7z4zQK5QZiKc5rmjU0zMLd0k6111y3wIAWS73dQvWavdJ37egmSzkR9aPkJ+\nPhi6TuThB5FUleCdd614TMgh9GHmsvNmlmwZ7zd1Wi4Vnp982fx7Zn6G+R9+n8L4mJCLMAxmvv5V\n0seOrPjaVKXd59mzd9XzVyc8U9s6eeA2P3JLs6lGXvXqC8XKTGdmzfZp1Yfu4OxRTiYnOVos8+jc\nGb5w6B/J5+ZJzr5If+Q0qWKaa5uu4AqvWMz9Uon57DyarnEqeha/vZZP7PkomyrSFyezKTbV9vL+\njeKaV61OqjyqxHPPMviJj604vZnrO4MUVJGbHcg5N6qjjszxYwDU7lm/39l/FIR8g2xWqMqFCFo5\njd3d8bornP533g6aRuSRh4kfEZu+c8tWbE3N1DW4uWHwAUIv/juKPwAWC3Pf+iZ6oUDs8cfI9Z3F\ntXsPru1L1dxtLS0YpZKp7WaUy5QiC62e8oQI+u27FhKmfGqIYl5Mq8lBFfVWUdlU1YubqKzypxy9\nC/pc1kAApdZPbqD/kgxHOLwiQMsl+kQb2tBx+DZR23wLYBCb+CmGYaDn8+TOnsHW2oa1tpZ8Zoxq\nK1NRa0iVauioTbCl3cPeTaI6ahjQ2ejFrioYhs4tG87itpUo2XdhUZw4a6qmyONCZkddqPBfv6uJ\nxoBTrJeVNf9sPMPZyQTPHZ2iUNL4ux8c4/CMSHgX86W6vE789rU18VbDXCxHdjqDVTM4WW7G0fsx\ngp3vo677A8gWG1dtrUeWJF44fuHDI//V8WZAtQhV49uSLPFbd25ne5ef1jo3/SM5rEVRPVIuIJMs\nFTXOHhcbQ7RSVVqMLYGFrGuDb22zyX/56Rk++S/7+emro0zMpVEsEvW1y/vj87komXKWdm8rsSd+\nipTNc2CLkwk9TrqY4dOvfYG49yiStQBIPDL8JLqhc3QwQhnYtqsRiyLjc9u456095IsaIzMp6mod\nHOoL808/E5Yx5bk2co4UcsnC9HiCbKZIS0etuTFUg4LybCuKIvPYq2P89hee43+xd96BkZz1+f/M\nbO9VvUunW+lO15uv+Gyfe8MFjG0wJZQEktCCA8mPFAgQQk0CCaFjG9sYDMbGBlfO7YqvF0kn6e7U\n20q7KtvrzPz+mNVKOul01YbEfv453e7s7O7sO+/7fb/f5/s8//Tjvdz3dDv3PTM/4XMmuofDdA+H\nseaCgzMZ8woaDcbqGtJDg3nX+kg8zb3f3ckvty+8m012niQ7MYFtwyVonfOXXwpyAV8gHkTnLUBj\nty84qUf27WX4B/9zTuTZYGKc1rEOKm3liIKIrblb7cy8+93U/OtXKfvUvQhaLcPf+y6hnTuYfHE7\nY08+QXp0FEWWiR48gGixLCgQ6b31dqq+8CWWf+z/saRsOVdVTostTgdUGYZi/nyGaiqgGoyqk+h7\nK9bRqNMSzcTY1fwdJof+QGhYLSWt9Swmk+NB6QWBNv9uOkM9JLJJmjyNeEWFrSYjCgLvWPlRPrbq\nw5Ra1QVXl8tQTfGoovv3giwT3rtnzvdIdHSgXakGgtJhlSQbazmKoNfjaPrTExEURR16UxHphB9F\nzpKMqJkHo+3sSv0LwbZuA/qSUsK7djC6XZUtmNqIODZtRqtk0BUXU/F3n8N97fVkx8fw/+gHBB//\nNRqHg+L3/tmcoC7Po8op6wcff4zuz95LaMcrSNEoqfZcOdCqvk5RFCaH/gBA4aL3oDMVw1TSPXx+\nS03ieAdoNLOssUAVNJXC4bxZ+oXAaK1GEPUkQseJ58p9ZsdiTI56jLY6UtFeMokR4m2tKNksluUr\nkOUM6fgQelMxosaAoih0jLjQahSKzEEKnSaqcg0/DVVOFEVhvP93mOVOREMp9Y1ql6nJMX2fao3e\nWTI7GlHknVcsQlHgkT+coD+a4P4TQzzSrm5ytq4oJZbMsndA1ZSqtV0c5wX/eBwUqBV1yAocDUmY\nnY0YbdUAOKwGltW66fVH5myM3+x4UwdUkqwwHE/RPB5h98gkA0MqWdRbYKHIbUYQBK5aW46igH9I\nTdcvlKHaPTTBtw50EU6qhO8TbSOkU2q6fHJ8rrJvvbMWURBz/Knq055XURRODKi7kEdf7KTHH6HE\nY0E7j3VEb0Sd/GolJxPPPYvO5eSwz8xAdJhHOh5jMhViS8kmMke3YYhWMBTz0xxs43BO9XxVzkAZ\n4NLlJTRWqcHF4gonLx8eoiesprnlkJe0Qf2eh/ao5NDiKjuj8QBHAi10h/vQxYvRSBa+8ueXcPOm\naioKrGxqKsZlMzAYiJ02EFEUhd+/1suX7t/PNx45jHn9JRS9/wM4rrhy3uNnIs8nyZX9ntnTx3g4\nxQsH+pmch4swhbPJ7Bi1BpwGByPxgFoqqKtHmpwkOz43+6jIMoFHf0Fk7x5iR+baDJ0OO4f2oKBw\neflm7DorpW0jCDodtvUb8t+v5C/+EiWbZeSnP2L0oQcYe+I39H3xnxn77W+QQpNYV65e0CRU7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yGlGAtF3PJNA3GsXlMSOLEv/T/QM+t/PLPN/7EilJtRX4ye/a+K/f7+TYeAd2vY2UlOY/D/+M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CUVdt7/yau4/vZyVGoFao1ixihxNdCWyONWf2vLnLfZvDOfW++pZvvu1FmLF/RTM41KE8L0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\nYfbeHOb5py4zMe5hz8FMDp/Infd5H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"text/plain": [
"<matplotlib.figure.Figure at 0x110961710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"### Formulating a Financial Trade Strategy"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Mid'] = data.mean(axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
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" <th>2014-01-05</th>\n",
" <td>1.36286</td>\n",
" <td>1.36270</td>\n",
" <td>1.362780</td>\n",
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" <th>2014-01-06</th>\n",
" <td>1.36163</td>\n",
" <td>1.36148</td>\n",
" <td>1.361555</td>\n",
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" <tr>\n",
" <th>2014-01-07</th>\n",
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"</div>"
],
"text/plain": [
" CloseAsk CloseBid Mid\n",
"Date \n",
"2014-01-02 1.35931 1.35886 1.359085\n",
"2014-01-04 1.35965 1.35905 1.359350\n",
"2014-01-05 1.36286 1.36270 1.362780\n",
"2014-01-06 1.36163 1.36148 1.361555\n",
"2014-01-07 1.35755 1.35748 1.357515"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Time window in rolling: number of points for the Simple Moving Average\n",
"# 10 is 2 weeks, 5 trading days per week\n",
"data['SMA1'] = data['Mid'].rolling(10).mean()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['SMA2'] = data['Mid'].rolling(60).mean()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
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" <td>1.36286</td>\n",
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" <tr>\n",
" <th>2014-01-06</th>\n",
" <td>1.36163</td>\n",
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" <th>2014-01-08</th>\n",
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" <th>2014-01-09</th>\n",
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" <td>1.36667</td>\n",
" <td>1.366840</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <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",
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" <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",
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" <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",
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" <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",
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" <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": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# NaN appears because the rolling cannot be calculated for those rows.\n",
"data.head(12)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Let's drop the NaN\n",
"data.dropna(inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
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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>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": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x10774b278>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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58foCLP1vBUGPicOu7LBWYVcMBmKvm0mwvp6KdWs6PlghhBAiAkhx1QOkJNgA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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1105cf668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data[['Mid', 'SMA1', 'SMA2']].plot(figsize=(10,6))"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Long market is +1, Short market is -1\n",
"data['Position'] = np.where(data['SMA1'] > data['SMA2'], 1, -1)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"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",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>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",
" </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",
" </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",
" </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",
" </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",
" </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"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x111deca20>"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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1DJ1pqGfROp4/nywMt912hvjC1oSj97LeW1QATp06V6jc7e0dtrfj0v0xrp5x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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111dde240>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data['Position'].plot(figsize=(10,6))"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x111bd3be0>"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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h+n66Q6exJeC3nbfQFLEw0TfIaE8/wdEJQqEpTJYQJi2CqoNZV1BiGqpuoOk6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\n0b2gw3jFAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111b2a668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data[['Mid', 'SMA1', 'SMA2', 'Position']].plot(figsize=(10,6))"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x111930da0>"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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634kJiRiMLkveE088A8CHH37eLJ3773+oLr1aSosr+fTf69tb5Hq0MYa4BDAr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\nHQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1119288d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data[['Mid', 'SMA1', 'SMA2', 'Position']].plot(figsize=(10,6), secondary_y='Position')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Backtesting the Financial Trade Strategy"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Returns'] = np.log(data['Mid'] / data['Mid'].shift(1))"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data.dropna(inplace=True) # First row will be NaN"
]
},
{
"cell_type": "code",
"execution_count": 40,
"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>2014-03-13</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",
" <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",
" </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 \n",
"Date \n",
"2014-03-13 0.003125 \n",
"2014-03-15 -0.000208 \n",
"2014-03-16 0.000945 \n",
"2014-03-17 0.000851 \n",
"2014-03-18 -0.007264 "
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# We should not be allowed to use future information for our algorithm\n",
"# In the real world, it will not be able to see future\n",
"data['Strategy'] = data['Position'].shift(1) * data['Returns']"
]
},
{
"cell_type": "code",
"execution_count": 45,
"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",
" <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": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data.dropna(inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Returns -0.215763\n",
"Strategy 0.118549\n",
"dtype: float64"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data[['Returns', 'Strategy']].sum()"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Returns 0.805926\n",
"Strategy 1.125862\n",
"dtype: float64"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.exp(data[['Returns', 'Strategy']].sum())"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# This strategy gives +12.5% return on our investment (sum is 1.125)\n",
"# Over three years of operations. The market, without doing anything, would have given us 8%"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x115ac6cf8>"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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lDrYHZzZpSiKlzyWnwVgnK1bSoC0DkkPGWoOJKppAeJGe0/dv2EDHuXFfk+pk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B1rtnP7X7ZwzrKJXH3OLG6+5z0KO5u4LnT+vqe2s/PV/vodXR/SjSs0Dj29/iA2y3Y+PtoRaUd3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\nyPTRmwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x111c17a58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Performance chart\n",
"# Accumulated gains up to every date\n",
"ax = data[['Returns', 'Strategy']].cumsum().apply(np.exp).plot(figsize=(10,6))\n",
"data['Position'].plot(ax=ax, secondary_y='Position')"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x115d1e710>"
]
},
"execution_count": 60,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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AuvriFoUDhoXqzPbJWKqygkRGgJeLwXI6/y3i4BX7ocAFypbBYygf+KfGKa7g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\nLKVC4Ost2x8aOpdj0czZjPb1M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mcLnpcYpI18zs2d0UdvT7WyEsQu2mUz9mOETU2v6Sr7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\nlIyhCp6iKIqiKErGUAVPURRFURQlY/x/n1My0oILSkoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115d1eb70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Performance chart\n",
"# Daily gains-losses\n",
"ax = data[['Returns', 'Strategy']].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": 62,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"S0 = 100 # Initial investment\n",
"T = 1.0 # 1 year\n",
"sigma = 0.2 # we assume volatilty \n",
"M = 200 # Number of time intervals\n",
"dt = T/M"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"rn = np.random.standard_normal((M+1, 10)) # Matrix size"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.010511778594136895"
]
},
"execution_count": 71,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rn.mean()"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.0205352213681589"
]
},
"execution_count": 72,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rn.std()"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"rn[0] = 0.0"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"S = S0 * np.exp(((-0.5 * sigma ** 2) * dt + sigma * rn * dt ** 0.5).cumsum(axis=0))"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"S[0] = S0"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 100. , 100. , 100. , ..., 100. ,\n",
" 100. , 100. ],\n",
" [ 98.48310031, 101.32458448, 99.6473667 , ..., 99.52614406,\n",
" 98.89828606, 98.25304348],\n",
" [ 98.12286446, 100.13634496, 97.71237962, ..., 97.78224763,\n",
" 100.01719373, 97.73770556],\n",
" ..., \n",
" [ 141.37567727, 72.80097603, 111.55729845, ..., 115.63496464,\n",
" 108.8061262 , 81.93133781],\n",
" [ 138.74434958, 73.78661017, 111.50329734, ..., 112.01371741,\n",
" 109.1206181 , 81.71542371],\n",
" [ 136.61955344, 72.6791569 , 110.9854879 , ..., 113.38141683,\n",
" 107.68981229, 82.13762092]])"
]
},
"execution_count": 78,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"S"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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lhLhqtDQ4SdDrKBgqhXApMq1DAZVDAioxv7X2eGnu9uL2hVHjKreuLSHJkMD+071EY3HW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\nrtlKOB7BHfIA2sbT2e+9DzU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