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Workshop PyConf Hyderabad

Time Series Analysis with Python

With Applications of Machine Learning Algorithms

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

Hyderabad, 07. October 2017

(short link to this Gist: https://goo.gl/Dvwhe8)

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.

Resources

PyConf Hyderabad 50% Special under http://hydpy.tpq.io

Slides

You find the introductory & overview slides under http://hilpisch.com/hydpy_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 hydpy python=3.6
(source) activate hydpy
conda install numpy pandas=0.19 scikit-learn matplotlib
conda install ipython jupyter
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
  • Working with pandas DataFrame objects
  • Formulating a Financial Trading Strategy
  • Vectorized Backtesting of the Trading Strategy
  • Getting More Realistic by Considering Bid-Ask Spread
  • Random Walk Hypothesis
  • Prediction based on Classification Algorithm
  • Out-of-Sample Performance of Fitted Model

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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"source": [
"# Time Series Analysis in Python\n",
"\n",
"## With Applications of Machine Learning Algorithms"
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"source": [
"**_PyConf Hyderabad_**\n",
"\n",
"Dr. Yves J. Hilpisch\n",
"\n",
"The Python Quants GmbH\n",
"\n",
"**07. October 2017**"
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"## The Imports"
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"source": [
"import numpy as np\n",
"import pandas as pd\n",
"from pylab import plt\n",
"plt.style.use('seaborn')\n",
"%matplotlib inline"
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"source": [
"## The Data"
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"source": [
"data = pd.read_csv('http://hilpisch.com/eurusd.csv')"
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" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Date</th>\n",
" <th>Time</th>\n",
" <th>OpenBid</th>\n",
" <th>HighBid</th>\n",
" <th>LowBid</th>\n",
" <th>CloseBid</th>\n",
" <th>OpenAsk</th>\n",
" <th>HighAsk</th>\n",
" <th>LowAsk</th>\n",
" <th>CloseAsk</th>\n",
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" <tr>\n",
" <th>0</th>\n",
" <td>6/3/2007</td>\n",
" <td>21:00:00</td>\n",
" <td>1.34456</td>\n",
" <td>1.34986</td>\n",
" <td>1.34316</td>\n",
" <td>1.34886</td>\n",
" <td>1.34474</td>\n",
" <td>1.35004</td>\n",
" <td>1.34334</td>\n",
" <td>1.34904</td>\n",
" <td>5259</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>6/4/2007</td>\n",
" <td>21:00:00</td>\n",
" <td>1.34886</td>\n",
" <td>1.35536</td>\n",
" <td>1.34876</td>\n",
" <td>1.35226</td>\n",
" <td>1.34904</td>\n",
" <td>1.35554</td>\n",
" <td>1.34894</td>\n",
" <td>1.35244</td>\n",
" <td>6110</td>\n",
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" <th>2</th>\n",
" <td>6/5/2007</td>\n",
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" <td>1.35376</td>\n",
" <td>1.34846</td>\n",
" <td>1.35026</td>\n",
" <td>1.35244</td>\n",
" <td>1.35394</td>\n",
" <td>1.34864</td>\n",
" <td>1.35044</td>\n",
" <td>5875</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>6/6/2007</td>\n",
" <td>21:00:00</td>\n",
" <td>1.35026</td>\n",
" <td>1.35116</td>\n",
" <td>1.34216</td>\n",
" <td>1.34326</td>\n",
" <td>1.35044</td>\n",
" <td>1.35134</td>\n",
" <td>1.34234</td>\n",
" <td>1.34344</td>\n",
" <td>7361</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>6/7/2007</td>\n",
" <td>21:00:00</td>\n",
" <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",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
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" Date Time OpenBid HighBid LowBid CloseBid OpenAsk HighAsk \\\n",
"0 6/3/2007 21:00:00 1.34456 1.34986 1.34316 1.34886 1.34474 1.35004 \n",
"1 6/4/2007 21:00:00 1.34886 1.35536 1.34876 1.35226 1.34904 1.35554 \n",
"2 6/5/2007 21:00:00 1.35226 1.35376 1.34846 1.35026 1.35244 1.35394 \n",
"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",
"4 1.33214 1.33694 8238 "
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"data.head()"
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"metadata": {
"collapsed": true
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"outputs": [],
"source": [
"data = pd.read_csv('http://hilpisch.com/eurusd.csv',\n",
" index_col=0, parse_dates=True)"
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" <th>HighBid</th>\n",
" <th>LowBid</th>\n",
" <th>CloseBid</th>\n",
" <th>OpenAsk</th>\n",
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" <th>2017-05-27</th>\n",
" <td>21:00:00</td>\n",
" <td>1.11784</td>\n",
" <td>1.11784</td>\n",
" <td>1.11677</td>\n",
" <td>1.11681</td>\n",
" <td>1.11808</td>\n",
" <td>1.11808</td>\n",
" <td>1.11743</td>\n",
" <td>1.11788</td>\n",
" <td>48</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-28</th>\n",
" <td>21:00:00</td>\n",
" <td>1.11681</td>\n",
" <td>1.11894</td>\n",
" <td>1.11613</td>\n",
" <td>1.11622</td>\n",
" <td>1.11788</td>\n",
" <td>1.11906</td>\n",
" <td>1.11626</td>\n",
" <td>1.11660</td>\n",
" <td>119787</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-29</th>\n",
" <td>21:00:00</td>\n",
" <td>1.11622</td>\n",
" <td>1.12048</td>\n",
" <td>1.11087</td>\n",
" <td>1.11842</td>\n",
" <td>1.11660</td>\n",
" <td>1.12064</td>\n",
" <td>1.11100</td>\n",
" <td>1.11882</td>\n",
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" <th>2017-05-30</th>\n",
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" <td>1.11842</td>\n",
" <td>1.12517</td>\n",
" <td>1.11638</td>\n",
" <td>1.12418</td>\n",
" <td>1.11882</td>\n",
" <td>1.12530</td>\n",
" <td>1.11651</td>\n",
" <td>1.12434</td>\n",
" <td>293536</td>\n",
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" <tr>\n",
" <th>2017-05-31</th>\n",
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" <td>1.12562</td>\n",
" <td>1.11997</td>\n",
" <td>1.12103</td>\n",
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" <td>1.12574</td>\n",
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"2017-05-28 21:00:00 1.11681 1.11894 1.11613 1.11622 1.11788 1.11906 \n",
"2017-05-29 21:00:00 1.11622 1.12048 1.11087 1.11842 1.11660 1.12064 \n",
"2017-05-30 21:00:00 1.11842 1.12517 1.11638 1.12418 1.11882 1.12530 \n",
"2017-05-31 21:00:00 1.12418 1.12562 1.11997 1.12103 1.12434 1.12574 \n",
"\n",
" LowAsk CloseAsk TotalTicks \n",
"Date \n",
"2017-05-27 1.11743 1.11788 48 \n",
"2017-05-28 1.11626 1.11660 119787 \n",
"2017-05-29 1.11100 1.11882 285165 \n",
"2017-05-30 1.11651 1.12434 293536 \n",
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"data": {
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"DatetimeIndex(['2007-06-03', '2007-06-04', '2007-06-05', '2007-06-06',\n",
" '2007-06-07', '2007-06-10', '2007-06-11', '2007-06-12',\n",
" '2007-06-13', '2007-06-14',\n",
" ...\n",
" '2017-05-21', '2017-05-22', '2017-05-23', '2017-05-24',\n",
" '2017-05-25', '2017-05-27', '2017-05-28', '2017-05-29',\n",
" '2017-05-30', '2017-05-31'],\n",
" dtype='datetime64[ns]', name='Date', length=2820, freq=None)"
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"outputs": [
{
"data": {
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pjAaw0aZIhptAaDUdoCyTJ0KkystLMqS1qy36RrKoK+2sMBNE5cFaNHYRBwsF\noAiCGM7klIiSZRkfb2/Wb8y+Vnhxw9av3P6Fk0LpvDhnqHROaGwh8/MrG9HeNWh5bAXTpmU4z7Eb\nxFaIB/URvFStKDRGosyiS8ZifKu2SCpmKwfLg1HSj7cfN30MpfEIghjO5JSI6jEpbjWr1cllHDwH\nl1N5W+ItQn5v42E0HUu8T1okjGNRV5sBCLMvkGVgvqCkg2pjiJAkwjkLxwCAqTN3tvC7f27Fz5/5\nVLfNKH4SxdiQubI0P+yYH35lAc6aXx/T833z4plwOnjctWIu/vdrS7Tt7iiRRDI8JQhiOBOTiBIE\nYbEgCCsj7H9UEIT7UjYqC7qDjt7L547W+qnZ7UqY5znkBUVUvN48H25rxs/+uj4dw4oYQVHNGtV0\nUWWpG1+/cAYeuu1UjDCZ3FPBF8+chIbaYs2oNFdIlehQRVRxgQv3XLfQ1BeqvNiNKWPMXcrDni+Y\nHhQaKlA7olDbrgp6K+z2/SMIgoiHqDOQIAh3AvgTANPZUBCErwOYleJxmaKuzMtz8bjpkpmY2lCO\nS0+fOBR/esjgOU7z5knU4DDV0QFZltFrscQdALY0tgMAvnvlXJw1vx7nLGyA08GjpDDP8jHJwnEc\n8l0OeH3+rJzI2TGx74cxgpQoapujFZ+ZjIbaEsvjTppYiZnjR2ir7awwW/UKxCCiKBJFEMQwJpaq\n7EYAlwJ40rhDEIRTACwG8AcAU1M7tHBUjying8fIyiLcuWJeuv/kkOPgOS2i47XwxIqG1YSYKE/8\nR4zpuIbakpQ6ckfDneeEDKWvW7S001DD9nJk3w8rv6V4US0erAw0VfJcDnz7i3OiPp+V/xprDGrm\noE8aiiCI4UxUESWK4guCIIwzbhcEYSSAHwO4BMAVsf7BiopCOJ2JTXhrdrUCAFx5TlRXW199x0Ky\nj081C6fXYt2O4xg7pgJbDyjFyMUl+QmN0ycFUnp+7286Gv0gACPrSqMWL6cC9dxKg8vvi0sLtFVk\n2UL/YEgslZeH0mOcK/pnN9L+I629ePiFzdi8pw1A4p8RI/kFrqjPU1kZnj490hky/Yx1HNn23Us1\ndH65jZ3Pz87nBmTm/JLxB7gcQBWA1wDUASgUBGGXKIqPR3pQZ2d/pN0RefSlrQCAl95vxIUnj034\neaqrS9Da2pPw49PBjedPxeVnTIDf44MnOAF3dPShtTj+lJgkBTJyfm1tvWn/G7r3TlaiJ/f+eQ3u\nuiq7opKo5OysAAAgAElEQVTd/SFLiC/98HXt9pFjXWgdaf1Fj/bZfPeTg5qAApTvUzLv9XyhGhvE\nVpQXuiyfZ2RlIY619+P48W4t1az9/ROh73NLS3dUEZ2N371UQueX29j5/Ox8bkB6zy+SOEtYRImi\n+GsAvwYAQRCuBTA1moBKlvrqYhxu7cXi6bXp/DMZweV0oKpMWcmmFgknuhzeKjVjN1SXbvHQibib\nNaebI619ptu7+5NL5xnb7yRbD/a1z0/H4SV9GFdn/SNRU16AY+39pp9HSQpt8wdkyybHxPCis8eD\n9q5BTKo3T+97vH64XHxWfWcJIhHiXtokCMIKQRC+lo7BRGPmhBEAgLNjXLadqziSFFGp7CkXaz++\n+75xcsr+ZqzkMWnhRIvw08GJXg9++eynpvt6+q1b5MSC0dIjWRHlcjowfmTkNKwq6s3+1h//vUO7\nPVzEOxGZAY+EO373If7nqQ2mFjStJwbwzV+9j3+815iB0RFEaokpEiWK4n4AS4K3nzHZ/3hKR2VC\n07FuvPHJQQDRVwzlOmoxb6Iiqqffi/wE0oBmxDqGkoIUNISLE1YsenwB5KdvMWBcdPVaC6X+CM2a\nY2HQMCkNRdsVVdSbrcQbYM4nVSsPidzmwec3a7cHvBLceQ54fH64HDx4nkPj0S4AwBtrD+KKM3O3\n5ylBADlktvka02rE7iJKS+fFaLbp4DlMHFWKy5crdg89ERoCx0us0YVMmF72MKkxTxZFoiKJiVjf\nUyuM57lgao3FkalD/Tw+/dZuTUh5fX7c/YePdcfFaw5L2I+Dx3uw53CXdt/j86Orz4vbH1qNJ99U\nVvk+89aeTA2PIFJOzqiRkZVF2u38NDe1zTSOCOkTMwKyDJ7nUJyvRIOSTRmxGAXBlcyV4/K5o3HH\nlXNwxfJJYQXHQ0FBfuhzYOwll0kiiqgkPQHY9MjZ8+uHxGxUFVFrd7Zgc6NS1L7ncBdamJV5AOCT\nskfIEplB9YxT8Xj9aG7vg1cK4P1NR9F6YiCi5xxB5BpZI6IGPBIONPfoerSxqLU5Z84bHdYTzG6E\naqKiCwNZliHLivlkUTCllsofKWN0wcFM2is+Mxkzxo3AuYsbUvb34oEVdNmUSlJfsxqTljfxjnNL\nYxs6ezzafWM6byhwMPVSaiTMLBr81Ju70dFt3VORsD/9g/p09e//uQ19zLa7HglFL0dXF4Egcp2s\nEVG/fXErfvL4Otz58Mem+1WTwuVzRw/lsDKCKqLYlU9WqEfwXGi1Wir7CbKT/gWnjNNFUhxRjB7T\nTWG+C+cFBVw2FTWr5ppmQiOeSFRLZz8efH6LNvHIsoxNe9uiPCr1sC1l1OCo2aqqbU0deOz1XUM1\nLCIFdPd58da6Q1F/M2RZjikyrn72FwR7Z7acGMDhVnPrE7v1PSWGJ1khorbua8fOoMFkZ48H19/3\nLq6/713dyjD1ary0KEuqh9NIRakSaWvrGohyZChCx3Ehp/NURitUEXX6SSNx6ekTUB4sWI+0JH4o\nUdNZ//3khqxpQSIxzvpG2KhS1OcJRrTU9+D3L23T7R8ql3ZdvVvwJT7Wbm7h0JukhQMxtNz5yEd4\n9p09WC+2hO3zeP0QDyq/y8+/14gbf/4eTkT4/G5pbMc7Gw4DUMSZykurm0yPz6YVtQSRKFkhon7z\nwhbT7eok4g8EsOdwFypL81GcgVVgQ416jrGIoVBkgIlEpfDHSX0PXA7luRdOrcENn5sWUyuRocDJ\nRHse/dd2TVS2dPbjoec3ZyS9pIodM8+ko23m4sMMoyjcILZqtxdOrcFnFw1NGpVjRJQUTDE/+455\ncXC2td8hrOnu88LrU97P1hPhF2x/+vcO/PyZT/HXN3bhjbXKyuid+9vDjgOUi7m/vxv6TJi1njpn\n4RiUFrrwsxsXY2xtCTy+7IkeE0SiZFxEybJsuapHvQJv6RxAv0fC1IbyIWkrkmnUZeuxpKjUiZZj\nGhenI53ndHLa31k6a2TWiFl2if/anS3Y36w41t79hzXY3NiOR17enqmh6caWyOslRaiJ++bFM4fs\nPWBrogY8ymfrjDmjTI/dfejEkIyJSJ6OntAFRuuJ8IuNDbsV0c62fbL6SN78wCocaw+51199jhB2\nzGmzR+LB207D6Koi8DwHj8+fkfQ0QaSSjIuoo8EvnpqKYlEncDUiU5QlE3e6UWtpYhFRaiSK4zgt\nEpVKs01NRA3BKrBEMEZ7vD6/ro7rRG/s6bNUw6bB7r/5FEyqL4vLofm5d/dqt1mLjx9cMz81A4wR\ntiZKXfnpZlZjlqfIk4wYWtiay1hKBwDz3xafFAiLmleW5mPF2ZN12wrzQ7/fk4NO5ruCZRwEkatk\nfGZU8+ILhXC/GzVCpR6TiWX0mcAVdOI2C4kbUYs9eS4kRFd9eiRlhdaR6nuyAaeheFuW9fUYsbyG\n6aKmQmk8vECohsvpgMvBIyDLMa26DMgydh0MRXX+sbIRE0eXBj3BzFtppAtWDO4NegCpBfLTxlag\ntqJQd3ws50dkHtaSYsBgAuvx+U0XRhiPA5TUuZHiQheWzR2NU2bWaduKGEuSJTOU1l1vrjuEg8ft\n28+NsD8ZnxnVyb68xK37kgHA/mPdCMiy5kfjNolW2RH1xyuWwkuzSBSgj1wkgxScLLO1J5rRsXvT\n3jZ85/cfafe7U2g8GgtsHVNJoQv337wU37hoJgBg7xFFgDzz9p6oIrfHpEC78Uh30j5TicBGosRg\nuk41Db3sjImYO7lKd3zfQOoioUT6WL87VGPnM5RUiAdPmH5G204MYM32Zvzgj2tw/X3vIiDLWLdL\nX5R+/81LwXMcnA4eV56lRKN4ptwAAMqKQjY19z6xIezvvLbmAB6nlZ5EDpBx10o/ky4yRjveWn8I\nv3lxq3a/wJ3x4Q4JqojqjsE0U73q53lOFzE41GK+rJhFPNiJxqPdOH/JWMtjsj0SZbxafu/TI7r7\nSbaWixs2lThvSrXO00ydlN7beAQuZoIxI5Wu88nS3hVeL6PWazkdHM5eOAZ5Lgee+I/iSN0z4BsW\nq2hjQZblrK3jfG9j6LviN0Rs+wYVEV83ohDNHaFI0wvv7dUdt3rzUTQe7QYATKovw97DXShj0rvF\nBS587+p5uj6XAFBR4sa1503F46/vQiAgo3fAh+Od/VqU9R8rlb56X1g2MWvqLwnCjIzPjOoVkNPB\nocswcbQZfryHy5dJja40HunGzv0dEY9VU555Tl73Yx1L5Ojnz3yKf6xstKwbOni8RxOx2SqiSgv1\nk7Xx6pmNkvzksXX4LSPK04H6fsyeWImGWr0NxKiqkLmgGpWyIhYBPVRMaSjX3ZdlGY1HlInTwXPg\nOU53br1ZNPZM0tXnxbd++yFe/sB8iX+mUS+6yorywtLeatoumpXJR9uasb1J+Y363lXz8Mc7l4XV\n/U2uL8dYk+c5/aRRmDi6FAFZxm0PrcZ/P7EB7286ovvsP/v2HkoPE1lNRmfGvkGf1qzS5eAxYVQp\nAOCac5WVHcYr4OFSWM6mT37/0jadX5YRta7BWBsUT2PaP/5rR9g2WZZxz2PrtPvZms4TGspRVZZv\nuV996QIBGQeO92Ajk8JIB/0e5Qo+z6Se5IrlIYf1NpMl5SzsSicWq1Vx6eT02aPwfzedgmljKwAo\n9VqqgaJaLKwvPievKABYt/M4uvu8WSeiDh7vQXe/FxzHYcKoUhQXuMLaJqkiasmMOvzgmvm47+tL\nTJ+L7ZPHcVzcBrw9ffrPyqY9bXiZ8ZX6eHszfv2P9F74EEQyZFREsauPxtaV4LbLZuP2L8zGqbNG\ngkPIjVtlKDrWZxt9gxK2NVlHo9TIizGtZRRVkdhpskJGXcqukq1F/RzH4aufn2653yf5IctySvsJ\nRkJdKl47ojBsXxmT4ormkbNu53HT7Zcvm5jE6BKD5zmMKM3XopHbmzpRUqiIJ7MWTNnUDDqTeLPI\nRV+lu9+Lex5bhx/9eS38/gCcvFK7xNrMHGrpxQvv7wMAFLqdmDiqTLeyLpVccvoE3f2dBzvDUvJb\n97WjK4OrbAkiEhktMmLbCAgNylXuSZOU9Eu+26GbyAvcToypKR7aAWYJkVyutRYjBoGZbPrN2OIh\nP0tFFAAtgmmGVwrg3ifWm/rgpAM1MlhoUr/H1glFi+z1DZoXZ2fSzFIdsxo9VoUUoG8ATU7UCtnU\nFFtFXWih/u9w8HDKsq6W75GXQ874hcHFPvlp+twtnl6LP7wS8nLzWlxc9Az4UFZs756pRG6S0dCO\nevXzw68sCNuXnxeahO780lz87lunD5vCciO6thsGrCJR8UbtjKLJ6Jadrh/RVODgeSyaprfIUFNP\new53oelYj64pc6T0aLKok4DZ8vBCZvWp2X4WyR9AWXEezjW4kmeyX6FxzGyxsJdZLk9O1ApsjWc2\ntCSS/AGtB6lK36APLgcPf0DpjTfolXSp5JGVSkTV6eDDVmGy3P6F2QmP6xsXzQh77mvPm4qvXjAd\nwhilHs/Y2JggsoWMiqjO7kFwHEwjTOykPdxbSTgiRC00EWUQTVyc76zR5dy4lD7b69GM4uKWS2dZ\nHpvONIsqJszSn6wIiRYplPwynDyHy5dPxLwp1akdZIIYx8wa5LIF/az/0HCmnWk5lMp+lony08fX\n4+fPfKrbdvB4LxzB99XvD4TZCrCLVW65dBa+95WFYc9bW1GgZRASYdG0Wtx6mV6EnTp7JE6eWac9\n71GLXo0EkWmGXET96rlN6A8un+3q86KkMM90QmEjUdkcBRkK/BZtcYDQknpjlMAdQ/pNdQ0Gwk30\njNGaqrKCqM+XSVjX7EtOGx8xapnOmh01EmVWWM6uWooaiQoE4HAoKy5HMyvfMglviIiyQnHKmNAK\nvniaLNsZ9sIklV0EEuFwa6+2GMCIegG2Y38n1u4MeT7NGFehO47jOJwyexSmG7Yf74zN7Twe1O9K\nUYHyPX7iDdHU6JMgMs2Qi6ht+zrwbtCfxOPzWwok1lgzFkFgZyJFTtQIgFpI/s2LFWPHWNJ5rE6S\nDJEnYySqMD+7U6kXnDJOuz2yUhEdXzxzkumxkTrRJ8uh4ESVbCG+3y9rFxejq7NDRO0L+gGpuBkh\nWFKYhx9fq0QpVm46GlYcPBxhxXqmI1H7j5m7gn/3S3PRdEx5Xx/6h74R/B1XzjV9zLe/OAeP3HGG\ndj9VK3d/duNi3HzJLPzl7jO1bXMnh6KwLWkQawSRLBlJ58myDFmWMej1m16xA9C1vGCjUsOFk2eE\n2iVEKtQ11kSpotRY42QGe8zdj3wM8WCn6b5coMDtxH1fX4IvnjkJ8wXlh3eURQRnzXbzlW/JIsuy\nZmBo9blWiVYiw9ZwqX5TDbWZXVjBpqeAcKHIpveeDBpvDmdYEeXNcIrT6LX08B1n4C93n4lpYytQ\nUhhujHr3VfMsn8voPv6lCKax8TC6qkj77qoUF7hw4dJxADIfzSMIMzIiolxOB37+9EYMev043Bo9\n1+3OG37WBmcvqNduxySiglELNQweSyGrMWX36sehVjHq40eUurUIQ7ZTU1GIzy5q0Oo4rAryu/rS\nE4lio3dWL/93r5yj7I9gIKgWJKvLuutGFOLmS2bi+vOnpWikiWGMbhpFlDFibOY/FonGI12443cf\nav35cpnOHo+uQHvVpqMZHI3+s/m5k8fq3qubLpkZdnxZDE2lf3ztQsydXIW5aa7ZU1Pza3ak5+KH\nIJIhI+pk0Cthd/CHckp95GaqdSMKM7oiKVOwhbqRUgE+Q02UqhtiWQxknMf7mZoDVUSdNLHK1G04\nF7ASUelKrbATVd0I8xqyaeNGoLLUHfbas6g1g5NGh74b84WaMAf0oeZbV5yku290VS8vdutsDz7e\n3hzXSsj/fnIDOns8+J+nwnup5RqfGCb8lZuOZrTRrlpXed7iBlx2ht5rrG5EYdh3PJbuEGPrSnDr\nZbNRnmbrAXWl7fubjuJP/95BDuZEVpERdfKvj/Zrt6//nPnVtbpi7/PBUO5wg00FRCqolAyRKLU2\nKpb0gXGCY9vsqOkkYzFxLmElvtMmooIT1fiRpaipCDfbVOE4Dj7Jj5WfHtGl7VTU4vTqiuwq5h8/\nshS3MqsejREjnufCopY79ocbuQ4H1NTTHGbVmpX3Vzp4a/0h/O2dPdp9VeBPri83PZ4Vv1Mbyk19\nzjIFu3r7o23N+M0LW0lIEVlDhmqiQretJpv/uvwkXH3OFCyeVjtEo8ouGpgfDrOJVsUYiaosVVqg\nxGIuaax7Yj1k1KXQaiPSXMRMADodPHoHfGnxivok6DKuFupGGld3vw9P/EfE9x9dg0172gAAH29r\nxq4DHVoU0ti0NRuIJqqN0b/7/74pncPJSjw+vybU2VWju0w6A8RL74APr3zQFNVG4tm39+DNdYfw\n9Fu7AYRqoqzsUtQLgEn1ZbhzxbysaprMcZyuZdKWxnZ89Rcrc/q3ibAPGc2TTYqQyqsocePMefU5\nHQlJhrJiNx6+4wzkOfmIq1KMheXlJW7kuRxo6TTvvcZi1BH+gBwWXTD6R+USZuk8yR/AoZZevLhq\nX8r/3tbG9piOY0fVO+DDr1/Ygp5+L/747x347q9X4/3NsRWnZwJ2Ep44Otwp3mGyKtSsrVAkWAf6\nQEBOqzlqqmntHMA3738fb647BAAoZiI8//pof0zfSyt8UgC3PbQaL33QhP+sPWR6zL8+2o9bH1yl\n3X9nw2F4fH5NJFmluK385rIFo5kukBpRShDJkrFvTEWJG9+6/KToBw5j3C4H6kYUormj33K1XE8w\neqQWX/Ich5GVhWiN0uAWMF+BZ6xHydaeebEQyendWLMylJj56rCp1A+3NgMAXK7sm9DYguRLTpsQ\ntt/sNY/XbVptKD3olXDjL97Dt37zQc4IqY+26gvIC9362qJkUnrrxZCHE9umheWfq/aF/Y0Bj4SX\ngk2Qrb4T6qrebDXVHVGaj7tW6C0XuqnRNZEFDPmv9KwJlQCUyMlwbeMSD3WVhfBKAUtvo65epbiX\nbQRbmO+y7EHFEkvxOZ9FYf14ieT0nmxvQTOSmegHzereslA3sCLKzHrE7HWNd12I2g5KjcB29/t0\nK0ezmQOGVO4ps+pw8WnjtfvJfJ/YzxfbhzEarIi1+s299rypmDOpCuctbjDdnw0IDRX4r8tna0Xw\nPX1D01ScICIx5CJKjX5kQy+pXECti7G68lRfR/YKk+c5+GNIg8gxvAenzR4Z61CzDjYVfNeKubj3\nxsXa/eaOfnR0D01TYiNm5pkDJmnTngi1cJmCbcGk9lVjMXNij6UGmI2KqrV57Pmr6bFsxxjdLXQ7\nceHS8Vg2dzQA/arbeJGYzgWSSReDE73mF1pH20I2MlbeaSNK83HbF2Zj/EjrZt7ZwOyJVbghaPXR\n1U8iisg8Qy6iRo5QfnjHZni5dq6gXsVb6R31R5stBFVvNh6JXOBslSL0SQFwAMbVlWDq2ArTY3KB\nfCZqIjRUhE0gb6w9GPdzHmntxZ/+vcPU+G/6uBEAgPlRfHNOnRUuTM1WYGZjmws2EhVrvaLHF/k8\nPt3TimbGU6m9exCyLOuir7mSzmOHWVLo0iJzZcHIUTJ9BdmFH8bn6erz4tu//VC37eQZyqKcv76h\n9MNz5znSEoEdatTuCexnhiAyxZB/oy45fQK++vnpWnsSIjJ8UEUZ27CoqD/abJpgW7DAOZrfjtXE\ntGrzUcgAOi2ubHMFs/qOr35+unY7kXn5d//cho+2NetsOlRUUbHQpAiWxWwiM7NduHDp+LBtmYYV\nUZFqzgBgSXASj7Q44UBzD37zwlb8vz99om1r6xrETx5bhw5GRLHp6mxucKxajjh4Dg/ddpq2XY3Q\n+SwiyrHQy6xGM6br7/3r+rDjC/OVz7/q47Ti7NQ4i2caNY0c74IFgkgHQy6iCtxOnDyjbtiuuosX\n9WWySr2pQigRP1Kr6Ja6LFqtt8pVnA4ep84aqeuht2R6yDIjkdY26iNaOsKLw/1aajXym2GW8jKm\nYqY2lOuEQ7YQj4hSexgORnDc39zYZrr9YEsvDjaHzCnV/pFdfV7c+tBqPJFFbWW2NLZh+/4ODHol\nTST96palumM0EZVgOk/yB/D6mlDk1Pg8xpY8AFAUjNi0dimf1Wk5HFVmYfutWpU5EMRQQZXdWY7W\nxsViwjdL5zkdfEw/LrnWHy8RjGau7OsUS02YkeMdSgrBLEoXzYtHxayhtrFwOlvTLuzFTzQvodqg\nWahVJGpbUzu6IxQHb9jdqt32+vyQZRnPvbsXXl8AKz89gvOXNKCqLLOGpH2DPjz4vNK4t7jAhWnj\nlZSu8f1TRVSiq/PeN7SNiWSme+6iBhQVODXDTK8vAI4LecjlOjzPoaLEjc4eDzp7PKguzy5TWmJ4\nkZ2/1ISGOmnFk84rcMdmSyDL5hO6yuXLJlruswORIiRmsOnPLjMRFSz2dUaJ0LDeQVZkq4iKhZsu\nnonzljRok5tZqvJErwe/+vtmvBts2ByJonwnfFIA68VWfLy9WdueDZHSpqOhusPeAZ/2uXAahLTq\nv/T467sS+jvG1LuXiUQZF0ics2gMPnfyOEwYFfLh48BllYFmspwyU2nQ3t6VmcUhBKGSu7/UwwRV\nRFlGogJqJCq0rYfxT/n+o2t0LWSMjy2P0GjUqkWEXeiN02eGFQMeEwsJ9b2Ilqouzg+JqM8sGAMg\nXPhGi2ZlMwum1uDyZZO0tIvZ588qrWWWIiwvdqNvUMLDL23TbY/UmHuoMArE3QdPAIie0jXjWHsf\n+gcl7G/u1lzsVYypXfbc2Y4GUxvKNfsDth+e3aLOqpfYL579NMMjIYY7JKKyHHVSkS2yc7Isg4N1\naqW5ox8fbDlm+Vink8evblmKqQ3hgsnpzN2JPBbiradg20yYvdySid2EGcY+ZQAw4NFPxtnqHB0P\napTTTERZvfbGJse3XjrLshmuJwm7gFSxxsS0lee4MCGtrty0YsAj4Qd//AQ/+OMa/PTx9fj1C1t0\n4kiNRKu9+FQRGpBlPPaaEt06dfZI3LliXk57u8XKuLqQFUOurNwk7Enu/1LbHFUcWTXcDMjhAmqB\nod+glXt5QFbC/OXFbqz4zJSw/bmcUoqEOlFLcdZEsaaFZi1ZQjVRkV83dtVgVXmBVgDMks2RqB9+\nZQG+e+WcqMdFKqY28zkCgKJ8vWAaU1ts6ZrfGqEdUrwEZDmhyNaBZiWd95kFYzTxbEzlAUokSfUH\nM/suq/YFXUyN2G0PrdbGpIqoGcGaKzWdt/dwFw4cVwrwx9WF28awRdh2or4mZFfyU5OViQQxVNhz\nlrQR6gWt1Xwvy3LYyjzj6q8RFqu8Asxj66uLcYOhCNsO0RAzZk2ohNPBx234yhYFmz00Wn8yFbYO\nzengdF3qQ9uz97UfP7IU06JEVoDIIsoqnWdMO+U5HcgztL+ZEuy52ZVCx+o//msHbn5gFXoYA8fd\nh05g1eajER6liJmKEje+dPZkTRx7Lc7tSKtiesmuslMxM1sFgP6gV5j62VI/O9ubOuAPBHSfEzOj\nTGGMEulsMPmM5TIOntfqog4wqzgJYqjJ3l9qAkBoQo60Os8YiVKXlqv4LR4rGx5rjH5k80SeLI6g\nq3s89DPpPDMBZuYeH3UcDt60vsqZiGdFlhFJRHX2mBcEGxc6uJx8mCfShacq/llmhqeJ8smO4/AH\nZKzdGepPd9/TG/H467ss05FrdjRj0OtHaaFSgxRppSHLi6v24aXV+gbY9z290fRY1XdKCkav2CjX\nx9uOQzwU8koyE1FnBJ3SP5vF7VwS5dxF9jsnIvfI/V9qm6MVlltM+AE5vB/XlecI+mOsHhvQP9Y4\ncTtNUlZ2wcFz2tV9rKwXQ0vujXUYAVnG2xsOK88dh/h08hzOXzIWADBzfCi6k83pvFhx8Dx4jsPO\nA5342zt70MKklTsZI022D9yoqiKdIarLyWPrvnbd89YEV/31p8HRnRXKoW3hf+cfKxvx6Cs74JMC\nCTWKfuXD/dgXXNkn+QOW7vRq3Zea7mOjzJI/gOffawRgLdznTKrCI3ecgZNn1MU9xmynvqYY9dXF\nmpUDQWQC+86SNkHziWKE0KBXws0PrMKrH++HHJDDipwL3E7MGBcy1rMSC7Isg/3tNf4Qu2wwkVvB\n81zcK5Y+YYqIjbp0LbMv3kjUfKEav/vW6bjqnFBdml2igHLQnvTNdYdw9yMfazVEbHTncyeP1T1m\nMVPT53Twurqe278wGxWlbuTnOXT2AqmidyBczKzZ0Ry2rYlpNFxiUfgejXufUGp5IrUvUWuitgS7\nEEwYVYbLzpgAADrD0UjGrFY1ZXbAwXOWkXaCGApi+qUWBGGxIAgrTbZfJgjCOkEQ1gqCcHvKR0eY\nWhw0HevBgEfCC+/vM41EAfpoyEsfNOEI04RUJSDL4HjrdF48EZVcI5F0HosxEsXWS5UVWdtGGFHT\nMwVup64Gzaw4ORcxzm+3/PI9yLKsWQPcfdU8LJ87GsvmjMIPv7IAQLhFxPevno+z59fj0e8uw0mT\nquDgeUwZU47jnQPoTnET2g27W9A74MM2JvqlRntY2IuaOkMjZlXkGLnoVPM2PlKEDs1enx9bGtux\n53AXAEUs1VaEN36+6ZLh2UaL5zlqZk9klKhxUEEQ7gTwZQB9hu0OAPcBWACgF8AOQRCeFkXRvI8D\nkRBmkSh2AlfqmsIf13ikS3f/lQ+awvoVyrJeRRtFk1l7ErvgcHAIRJi8IlFc4ApbYcWmFAriSC+w\nKVSHTkTZ97X3B2RNdBa6nXA6eFxz7lTL4+trisNWj6r+Zv2DklaTlAwFbgcGPH5UlLhx/983RS1W\nZova1V5u91y3EPmFbtSUmI9n6aw6vPxBU9h2Y80XAEyqL8Pew13w+AL4aJveomTAUAs2cXSpbsn/\ncMJBIorIMLH8UjcCuNS4URRFP4Bpoih2AagE4ACQeQthmxGKRIW2sVEpyR8wnXCN7SXW7WrRWpYA\noVmIIN8AACAASURBVGJftu6JNYH8zpVzbO03w3PxRaLU17zQ7URlaT6M+kutz7nxgmnGh0aEjf45\ndbftK6Ikf0Bzmq4sM29F8sAtS/HgbadaPocqXKxqieJFFTI+XyBMQJm9F2yvw/xguqyhtgQzJlRa\n/g2zlNvh1l6sDq4AVBs2A8C0horguPxhFzPG1ZyJGHvaBT4YUSavKCJTRL1kFkXxBUEQxlnskwRB\nuBTA7wC8CkO0yoyKikI4nZnP0VdXh3uqZCNlwX5Xz769Bw+/tA0/vH4xSktDvaI6ezwoKcqL6Xwa\nj/dipqD8UHcGW0VUlBVoj3W4QyJqZG1p1r5GqRhXnsuBQa8U83PtPqisgqqqKIDL5YBsGEd/cBIW\nJlTFNb662lJthWQJIwjKyvKz9vVPltKyQmzd144CtxMN9eZNcaOde2UwpeUuiO2zHwl/QNYE9cGW\n3rD9LiePyspiLXX00z+v0flcVVUW6cYQaTwnTa7CZsaN/Ed/XqvdnlBfgTF1pXA5eIyuKca/PtqP\n1z45iFNPGoUPtzajqlz5rlZXl6C8ZCtOBIvzC/NdQ/pZyabPZX4w6vvk23tw/snjtd6FyZBN55dq\n7HxuQGbOL+llDaIovigIwksAHgdwDYDHIh3f2WldRDlUVFeXoLU1N7xF+vqUH0r1yveBZzfqoh1e\nSbmqZ8/H6oPEBwLacQeDBn0untO2sSkqz4A3K1+jVL13sizDJwVieq7dh05g5adKj7dTZtRh7c7j\nCAT0j+0OLtnv6xmM6TlvvXQWjnX0o60tNGmzLt6y5M/K1z9evnHRDPQN+PDkm7u1bS+8rRRED3ik\nhM8xEGzAe7ylB63lyTXWjWaVMOCRcOX/ew2//OYp8Pj82LCrRbff5/Fp5xHt8zl7QqVORLHMnTBC\ni8ypflX7j3VjgVANALj6M5O1575rxVx87w9rAAB+f2yf41SQbb+d24IF9ys3HMbKDYfxl7vPTOr5\nsu38Uomdzw1I7/lFEmcJx4EFQSgVBOF9QRDcoigGoEShMt+HwWYYU04DHsnSeDMarCfU0WCh+Uim\nKJZNC5i5aNsJB8/HbHFw39MbtfYelaX54DkurGBaFUCx1pHNnVKtWRuExhR6f8bW2uOKcdG0Wiyf\nV6/btmlv8mWT6vdirUHQJIKVOSbLgEfCvmNdpq7m8biCnzFnFO5aMTdse2lRni61WVKYp7UH+sdK\npbDdxUTwWQPdeFaD2g279QQkco+4RZQgCCsEQfiaKIrdAJ4GsEoQhA8AyACeSvUAhzub97aHbZMT\nVFHsBLAuOPnUV5s7GVv1K7MLiS6NrirLB8eFe2+ppojJuLyzItdomJrrfP/q+drthqBAtPrsxYLq\nFfWJSe+6ePEFU7FmCwJUx29AKWJnrRnUC41Jo8ti/ls8x0FoCE9huk28pmpH6FfhsQKdrdOyg6dY\nonztwum6+4dN0rEEkU5iCjeIorgfwJLg7WeY7Y8CeDQtIyMAmDdqNUanzppfH3aMMKYc4qETum3v\nbz6K004aBQDa0nBjv62fXr8Ig16/ZUNju5Do0ujKsmAkCkq7iZqKAjzw/GYcOq78eCdrUFpXWYiC\nPGfYMv9cZ1J9GT6zYAzeWn9I+2ydtyRxx+n5wRRXKiKmvuB3bFxdCXYe6NTtu+mSmbj91x8ox0kB\nTUSdv2Qsls0dBZfTgcL85C84jE7tgH6hB6BfeKDrNGCzz0o81Ffphfjh1l7U26zFDZHdDN9lHTmC\nUTDJcriwMlv1c/vls3HzJbN02/Yx5oQ+KYD8PEfY1Xd9TTEm1cd+ZZ2rOBzxO5YDSoROnb9+8vg6\n7D/WHVyKrkyuydpCPPq9s/GDa+ZHPzAHcTqVF05dUZds1G7iqFIMev1Jr8xSI7S1FQVh+4oKXDhn\n4RgAyvdOfZ/deQ5UlRXE5QnGYjQYNTPELDd8r61Os6t3+C6KHlVVhIVTa7T7drv4ILIfElFZjtF0\nUZZl7cpZJc9k4s7Pc2LymHAx9PIHTWjp7Ifkl229jD4aDk5xLE9kAmb9nHoG9G1CzCIK8cBxnG2t\nJVTRpIqoZKN2hfku+AOyaW+7eFDtPtgLikmjy3DOwjHgOU5L1/mkADxe5dhk3+cLl+qNNz0mDYhH\nV+lTulafC2PEeTjB85zO/+6t9Ye022bteggi1QzfWTRHuPg0vfuxjPA2LlZtHczC/C9/0IT/fWoj\nJClgazPNaJg5wVsea5i81IJfAGhmvLd4jhvWwjQa6uetL9ifLplIFBBK5bV0DkQ5MjI9/aG+dD+4\nZj4uPnU87r56Hq48azIAIC9YrzTo9WtRK7MapnhwOXlczbT5MesoUFQQEnXL541GQy2lqaxQU8ON\nR5Ro+7sbD+OWB1dhSyN5PxPphX7xsxzVmZkllkgUYF0r0dXnhc8fsE1rkURQX5tYUnrGAADrTn6k\nNTT5JdKIdjihCkx1okv281cQFFH3PLZOJ2bj5dcvbAGgXIxMHFWGC08drxPOapH/i6v2Yc9hJeoT\nqVddrEwYFdllfPaESnxmwRjce+NifPkcwfZ1iskwmzE5lfwBvLtRsSR5/PVdmRoSMUygX/0sxyyE\nb6yJsopE5UUwNfVJ5k7nwwVVRK3cdDTqsca3oJdJ4bFREPcwjuzFgjHymWw6j714YMVsopgt4gCU\nFZkq6udl2tjkTR1Z7rluYdi2wnwXvnT2ZIyqMl+puWR6ren24YjQUKEtNuj3SCgMCuwTvd6U91ck\nCBb61c9yzK4+jQ1RrdJyPM/h4W+fgYVTazDL0I5C8geSTqfkMlKwYP9v7+yJeqyxxYua/gH0fcys\nxCyhYBTtyX7+WN8klzP5KI3aisYIx3Fhvl2pSIWrPf/qq4s124d4WDZ3NABgMYkpAKGatgGPBCcT\nhR9MUWsggjDD3o6KNiCW1SaRiqPdeQ588+KZeO/TI9jKdKaX/IGkIwG5TGuMdTSyLIfVTbFFxWwP\nNRJRkTGKpmSFCJuu9knJmy5GEjKnzh6JA2+l1g15RGk+7r1xccKpwSljynHvjYtRY7KqcDiiptl7\n+nzYdTBUbN/SOYCaikKrhxFEUgzfWTRHiKUMwhgpMcNYHzXcV+e1nIhNRLGNnL99xUkAgK+cK2ip\nJLVxLWC9eopQ6GQEJ5B8k2XZ0Ig7UVRj2eXzRlsew1oZWKXXEmFUVZGpyWc8jx/O32MW9XX8/Utb\nddt/9dxmbNsXblpMEKmAvn1ZTiwTc3lJdK8as+dxDePC8ljZuLsVALB87mjMDKZEy4rd+PJnhbBj\nD7eSW3IkJhoKqd1xtEsxo5QRNqyIevD5zXjm7d1mDzElEJBRX10U8btWxfTnu+Fz0yyPIzKHKqJO\nmPhmbWvqGOrhEMMEElFZTizecePqIq/yAQDe5J12RSg8JxTU1T3G1FN5cXgKZjg7R8eC0FCBMxeM\n0e4n67U0k6nzU1es+qQAtjS24+31h2N+Hn9A1vWNNGNsbQnOXdyA+uoiXb9JInsocFt/ngpt3guU\nyBwkorKcaMuaq2PsYG9WWzWca6JYrLyi2HSRsT+ZmWfPL286JbUDsyFXnB3yRrKy5oiVmvICrDhb\n8XJSexf2D4aK/h94bjMGvdGLiv0BOWrtIcdxuGL5JPz0hsXIz6MJORuZUl9uuU8t4ieIVEO/BllO\ntHRer8ExO57nSdYw0C74fAHT1JJXCqWIjEXRJcyP8ri6EvzwKwvIxycGRlcX48YLpqG7z5eS16uq\nTCmqloJ+X6xlxdZ97Vj56VGcuzhyj75AQB7WTXztgrFhM4uxfRZBpAoSUVlOtHlmwBNbywuzYMv+\n5tSuNspVvJLfVES1McXnfRFaSNy5Yi4JqDg4ZebIlD2X2o9PTee9/EGTbn9rV+QFBP5AAAFZ1i2J\nJ+xD3YhCNHf0o59sDog0QaGILIdNM5iZ6y2ZEZtHjJkNwuQI4W+7c+uloebM7Ao7lu6+UIHqoZbw\novHvXjkHX/6sQOmdDKJGCCXJ/D18L+hcbYXalJveQ3uwaFqoGfGPrl2AW4Lf8/YoYpogEoVEVJbD\npuGMdRs/vnYhrj13akzPYxaJumL5xKTGlsvMnVKNZXNGAQA27mk1rZ3xMBPzZxbUh+2fNm4Els+1\nXhZPpB91eb9X8uP+v30a12Pbuwbxv09tBAA0Hu1K+diIoWfO5Crt9ri6UuQHI8xWF0oEkSwkorIc\nVjgZRdSY2uKYDR7Naj6G+9W3+to9+/Ye/PnVnWH79x9TohRXnjUZ84WasP1E5lFXXTW392P7/s6Y\nH9dyYgDfffgj7f7M8alt40JkBqdhlaX6Hd+0tw2SP4B/fdiE3YdOmD2UIBJieM+iOYZxCX085o7J\nLie3I3lMYf1GsTVs/ysf7gdAflrZjGo1sbkxPjPFw4b07DUxRnSJ7Mb4G6muAB30+vGTx9bhSFsf\ngCb85e4zMzA6wo6QiMohkllhMqZGWZI/c8IInDSxigotoffJMr6ybA3Z1LEVQzQiIl7yEzTsDASs\nW/kQuYsjQmshRUApdPV6UFbsxkfbjqGs2I0Z4ygSSSQGiagcorI0Nk8oM0aU5uP+m5eipNBFbSKC\nRFqRpWqoqQ3lGFmZujYfRGrhOA7V5floPRFqHuxy8vBZFJqrWHmDEblN7YgCOB0cFk1TFtxYrZq9\n65GP8ch3luFP/1bS+BSZIhKFZtMc4BsXzUBDTTHOWTgGP/zKgoSfp6LETQKKIZLDuDrJknVB9nPN\nZ/WpuPlTqqM+hhVZD9x6asrHRGSG2opC/P7bZ+DGC6ZHPM4rBbDBJIVPEPFCM2oOsGhaLe65fhEK\n3E6MHxm9xQsRG8bQP4uazovmZE1kHqehZu2qc6bo7vtNOnSrRqpfu3C6rrkwkfsYLxRvvWyW6XG/\n++dW0+0EEQ+UzstBzlvcEFEAELERyaVanXfjKd4nMgP7Xbjhc9NQlO/S7ZckGQ6DTvL5FJPaPOof\naXuqywsyPQTCxtBMnINcvnwSLj19QqaHkfPEks6jQFT2w0ails5S3NAfuGUpqsqUGkLVzRxQeuvt\nPdylRaKS7d9HZD/Glk0EkUooEkUMW8xqi2VZxqsfH8CH25oBUDovFzB6AwFAWbEbE0eXoa1rUKt/\n8vr8uOXB1QCAk4NO/y4SUfYnyle4wE3RSCJxSEQRw5aKErfu/oBHQmePBy+u2qdto8Ly7McqLatG\nIHySkrpjl7irRcWxmtUSuYuZyGbxSbRSk0gcugwjhi1Gb5i/vLoTkl9fhEyBqOynvNgNd54Dp8ys\n021Xo0w+vzJJst5QajqPIlH2p7IsH1csn4QffHk+zlvcELZf8gdMe4sSRCxQJIoYthhTdTsPdGKG\nof2HN4rfEJF5CtxO/Ob208Jq3DQRJfnhk/x44j9i2GOT8V4jcodzg+JpwqhSLJ83Gnc+/LFuv+SX\n4XLSFRMRPySiCCJIv0cKm2h7B3wZGg0RD2b+Z6rD/+9e3Ials+pwyNDqpSjfiQI3/QQOJziOQ1VZ\n+Go9yR+gqCSREPSpIQiGU2eP1N3vIxGVs5zo9QAA2rsHtT6ILNRUmlCJ5nBPEFaQiCIIBmNEo2+Q\negzmKhefZm0DMmdSFa48a9IQjobIJm6+ZBZmjKvApPoyAMBg0DeMIOKFRBRBMDQd69bdNxaaE7nD\n6CrznocLhGrc9oXZyM+jVN5wZb5QjTuunIuxtSUAgJ5+b4ZHROQqJKIIguFAcw8AYMa4CgD6FV2E\nPaDFAoRKcYHibv9PxtaEIOKBRBRBmMAFV3pRw2b74aXUDRHkjDmjAAA79nfSBROREDRDEMOamy6e\nabpdTQXV1xQP5XCIFPPdL80N20ZFxIRKeXHIcPcf7zdmcCRErkIiihjWLJhag69dOF23jec4XHzq\nBFx82nh846IZGRoZkQqmja3A1z6vf3+/eNbkDI2GyGbe+ORgpodA5CAkoohhz5Lpdbjji3O0+4X5\nTrjzHLhw6XjdlSqRm4xgDDV/ev0iTBpdlsHRENnGb//rNO02OZcT8UIiiiCgdy8ng017oa7AAgCX\ni37yCD2F+S5MGFUKAPBQvRwRJ/SLQhBAWMsQwj6480JNhvOc1HCYCKeqTIlW9pMvHBEnJKIIAiSi\nhgt5FIkiTFDb/1CHAiJeYnKbEwRhMYCfi6K4zLD9SwD+C4AEYCuAm0RRpKUvRM7BpvMuOW18BkdC\npJM86o9GmKCKqP5BH/ILXRkeDZFLRP1FEQThTgB/ApBv2F4A4F4Ay0VRXAqgDMAF6RgkQaQbNhJF\n3lD240fXLsBXPz8dLkrnESZokShK5xFxEsts0QjgUpPtHgCniKLYH7zvBDCYqoERxFDCRqIotWc/\nxtWV4uQZdZkeBpGlFATr5voHKZ1HxEdUESWK4gsAwj5ZoigGRFE8DgCCINwKoBjAWykfIUEMAaxw\nclAkiiCGFUX5Sgqvt59EFBEfSXXgFASBB/ALAFMAXCaKYlSTjYqKQjizIKReXV0S/aAcxs7nl45z\nk7iQcKooL8jo62fn9w6g88t17Hh+Y+uVJEpb14Atz0/FzucGZOb8km1j/gcoab2LYy0o7+zsj35Q\nmqmuLkFra0+mh5E27Hx+6Tq3vr5QF/ciF5+x18/O7x1A55fr2PX8HLIyfbWdGLDl+QH2fe9U0nl+\nkcRZ3CJKEIQVUFJ36wHcAGA1gHcFQQCAh0RR/GdiwySIzFFWlKfdLmVuEwRhf0aUKJ0JWjsHMjwS\nIteISUSJorgfwJLg7WeYXVQ8QtiGihI3Ons8KCkkEUUQwwmX04HSQhdaT5CIIuIj2XQeQdiGn96w\nCCd6PCguIJ8YghhuVJTm42hbH2RZBsfRCl0iNiiSRBBBivJdGF1dnOlhEASRAUoL8+CTAugh13Ii\nDkhEEQRBEMMen6Q0H37guc0ZHgmRS5CIIgiCIIY9xzqUleMHmu27go1IPSSiCIIgCIIgEoBEFEEQ\nBDHsOXl6qC3Qkba+DI6EyCVIRBEEQRDDnsuWTdBuH2qhlB4RGySiCIIgiGGPg+dx2fJJAIDifLI5\nIWKDRBRBEARBACgrVpzLff6YupgRBIkogiAIggCAPKcyJfokElFEbJCIIgiCIAgATqcDACBRJIqI\nERJRBEEQBAHARZEoIk5IRBEEQRAEgDyXMiVKfjmj45BlGYNeKaNjIGKDRBRBEARBAHA5lCnx6bd2\no38wcz30nviPiJt+tQptXQMZGwMRGySiCIIgCAKAy+XQbr+x9mDGxvH+pqMAgH1HuzM2BiI2SEQR\nBEEQBEI1UQDQO5D5dJo/w2lFIjokogiCIAgCQEWJW7udDSv0/AESUdkOiSiCIAiCAFBfU6Ldnjiq\nNIMjUQjI2SWi/IEAfvjnT/DS6n2ZHkrWQCKKIAiCIIJce95UAPrUXqbwZ0E0jKWr14sjrX145cP9\nmR5K1pD5TwlBEARBZAkOngMAdPZ48JsXtqC7z5uxsVhl8yR/AB6vf2gHg+xIcWYbJKIIgiAIIgj/\n/9u78/i4yrL/459Zsi9N2iYpLXRvb6CllK1lFwTZlFXUn4hYfWRV3B/kAX1EUFFZFFFwxYXHBQQV\nAQVUNqGURWhLS7lLN7q36Zak2SeT3x/nzMyZJZPJJM3MhO/79eLFzJlzpveVycxcue7NTaIefGYN\nr721g8/d+VzO2hLuI4u67qeLuPL2Z4a5NdDaERts3xNWQgVKokRERKIilajBCPf28s17X+G7v3uV\n3kGMa4pcu6u5gyZPRWxHU0f03xlOb6zbFb3d1a0kCpREiYiIRPl9yUnUQLux9rZ3s3pTM2+u3zOo\nZCNSiPrSXQv5fIqK2HB06bV3hnh2yWZCPWFa2mILkN7xxyV5N/A9F4K5boCIiEi+SFWJuuyWpznq\nwHquPG92Rs+x15NsdPeEKSGQ5uy+9ZekdHT1UFay777Gl63dye33LQGgrSNEtyeZXLmxiV1NHYyt\nKaOzu4eFr2/hhEPH09PTS3GRH1+KZHQkUhIlIiLi8vfRnffym9t577YWJjZUpXzcq7M7ViHyVrG6\nQ2GeX7aF42aPoyiYOrHynt9fV6Czv15J2nMG42cPvxG9vXVXa9JA90hSddt9i1m1sYkNja08/dom\n5h1UzxXnZpZwFjp154mIiLjSjYl6dWVjRs/R1hkbgB0KxZKiK257mt88Znn0hbf7vNabgKUaV75o\n+dbo7ReWb8uoPdlq74y15dklW1i1sSnu8Y6uHvbs7Ywef839+by0Ynufz9nc2sUrb/b9eKFREiUi\nIuLqqxIFZLQ+0otvbOO2PyyO3u+Oqyw5/29Ks2xCyLPVS09PmKde3Rj3+OtrdkZvP7Kw//Zkq70z\nRKgnzCRP5W3rrjYADpk6JnqOdwmIdHFF3PHAUu76yzIWv7VjiFucG0qiREREXKkqUQOZsfd4wsbF\noZ5eesJhbrjnpeixdOOYvAts/vX5ddz7xMqEtsR/bXsrVwO1bM1Orrr9Gba5yRE4XYi/fuxNFi5z\nKl51NaVx1xQX+Zk1ZTQA//fEygEPLl+7xdlU+Ud/fj3rducTJVEiIiKuVJWoj5/lrGI+d/rYfq8P\nJqx0HuoJs313O+u3740eS7excCjNfnmhnjBdofikaTCbFN9+/xI6unp44pUN0WNbdrbxzOLN/PYf\nTvJWWVYUd82Y6lLGVDuJ1dZdbQPe329iQ6XT7hGyL6CSKBEREVdiEjWmuiSaPGXyxV8UiP9a7Q6F\nuf5nL8Yd62sRTUi/1cuazc3R8UYHTap12zT49ZpGezZeTpxUl1g1G1VRzGEzx1Ja7AyM9475ykRx\nUWxA/apNTWnOLAyanSciIuIKerrLbr3qWGqrSqLJUyYJS+Kee+u2tiSdk+550lWW/r4oNiC9vDTo\nPtfgKzpBT+KX+HwlRfGzCINBP36fD3NADUtW76RjgGtV7W7ujN6+68+vs2dvFyfM2Y93zZ3Af+x2\nzjthal7sW5ipwmmpiIjIPuatRFWVF+Hz+aJjojLpOmtt7467nyphenrxZpav3ZV0HCCUJsFasjo2\nqLzYXSJhMN15kbi8s+4SFxYtKQ5w82VHR+9HksxI4uVdgDOdHU3tzlpTnu7IPXudgej/XrqFb/zm\nFf7+4nouv/XpQa3yPlTaOkJ8895X+MS3n0x7npIoERERlzeJCriJQiSR6q/q8/qanaze3Bx3LNRH\nknPbfYtTHg+FMksgAgGnnemSrnR2t3RG49nV0hE93p3QPVdSFKBhdDmzJjvdhxVuBew/7nIG9/xt\nRdJzT0pYSyvc28s1d7/Af9/9fNxsxb54k8VceWThOlZvau73PCVRIiIirqJALInybgHTE+5l1aam\ntF1xS1YlT9sf6NYsqZKMmsripGPBAVTHUrnzwaXR296tadZv2xt3XqQ775PvO5hjZjVwxtGTAJiy\nX3Wfz11WEt8FGPkZtHf2xK091ZcfPLC033P2tccSZln2RUmUiIiIq7Yq9QrgDbVlADz+0oaUjwOM\nH1uRdMy7BMElZ5i4x1a8vTvufm9vb9y6SxEz9q+Ju3/OcZOjSx1kOyZqg2e2YGTG35adrdFZeREV\nZU7laVRlCZeePYsJboxf+NChcedVlxdx61XHAsmLhP5tUfziolXl8TP+Io6e1RC93bS3M+U5wyUx\nEeyLkigRERFXX9uxLDjTWeZgZ3NHyschtpiml7cSVVEanzzc8vvXeG7pluj9V1fu4Cd/XQ5AfU1Z\n9PgET3J2yemG806YGu3Oy3Z2XmR2HUCnW4na1ZKcuDTUlqe8PjGW5rZuRleX4vf5WLlhD5/8zlM0\n7mkHwK7fE3fuYTPqUj6n9+e30x2A3t4ZYsvO1n6iGXqZVMxASZSIiEici0+byQdPnh53rKbSqVCl\nm9LvHU8UqWR0eCpRZSWBuOQIYMXbsQHm/166OXrbW5WZOC42xuikwyYADGiweyrTJoyK3m5u7eKl\nFdso9yxn8P53TeUrlxxJw+jUSVSiD73b+XlFJjeGe3v57T9WsqOpnZqE6t6xs8fFVXoiXYYXnDg1\nemxvu1ORu/3+xVz/sxfZ4SZkw8E7sP1rC45Ke66WOBAREfF49+H7Jx2LzEZLnL3mFZl5dtnZBxMM\n+LnrL8vi9onz4aOmqoTtnoSgtSO2z543ialwF7ksLwlGx0R5uxojg96z7c4bVRE/zurHDy3n+o8e\nEb3f09PL1PF9j3sC+K/3HsQvHnUGlp9yhPMz8w6kX7p6J9fc/ULSIqUz9h/Fty49mh3NHexfVxm3\njMJHT5vJvU+sjFaCIoO7G/e0MzYhAd1XvMnwpHHpN5xWEiUiItKPyNpF3WkqP5HHaqtKkrqwwKnO\neAeuA7R2dPPIwnWEw73UVseSpPKSIDd9cj7V5UVUlRfzqfMPiUtqIgPL0yV16USSHW8i5E3IZk0d\n3e9zHHVgPWu3NDN5XHXcWlOJvKus11QW4/P5GFVZwqjK5PFnpcVOWpK4nc1A16MajK4BLCCq7jwR\nEZF+RCtRab5gIwlNMOjnxLnj4x4bU13CrCmjk5KNUKiXPz27hr88tzbueHdPmAljK6gqdypGR5i6\nhEqUk0TtTjGOKRORsVSzpoymvqaMmsriaBJ16hH7M238qHSXA87q4xefZjh+zn5pz3tjnTOA3u/z\ncfyc8WnPLXHHajW1dsV1q+3JYHPjoRKpRE3rpxIHGSZRxpj5xpin+3is3BjzvDHmwAG0UUREpGDE\nKlFpkij3y7co4I+upxTxnqMm4vf5kpKo9s5Yd167p2uvuzt9NSQyO+8Xj66gzXNdpiJjqYIBP8VF\nfrq6w9HEqqoieUmFwaqrKeWOzx7P+SdMSXteJIn687Nr4rrVhnO2XqRytt+Y5NmWifpNoowx1wA/\nB0pTPHYk8CwwbaCNFBERKRRBt/KTuBilV7QSFfAnJUuRgeCJGxR7tzhp8lRbEjcaTidx4c7Orh5+\n+vBy1m3te7HISFsDfiexa+sMsbOpI66tg3HYjPhxUBWlRVSUOivAZ6rd04XXOEwDy/fs7eQhMIqN\nSAAAFkZJREFUtypYVNR/nSmTStRq4II+HisBzgfezLB9IiIiBcfnVpG8Y5B6wmHuf3IVq92NdLs9\n3Xk+n49iz5dwpPvNu7QAwKYdsen73kRh/sENpONNvtZuiU+Wnl+2hUXLt3Hjr17p8/pQOFKJ8kVX\naf/1Y9ZpU2P2SwpUu2tAnXPcFG6+PLZdTKa5k/c0b/VpV/PwVKJu/NXLLFq+DYDiDPbw63dgubX2\nQWPM5D4eex7AGJPq4ZRqa8sJ9rEOx3Cqq0s/4r7QjeT4RnJsoPgKneIrbOniKy7y0+ueEw738q+X\n1/PYS+t5Zslm7v/Wewm4323j6qsYM6qMw009i5ZtBaCqspS6uir+69xDeGbx5pTPv7GxFb/fx5+/\nc3bc9jOpvO/EaXELY3rbXVIa645rDfVyQH1l0jmR2X0NDaM4913T+N7vX4s+dsq8iVm/zrd89kTW\nbmrmyEPixz6t3dKS0XMeP6aSW//gVNZu+OXLsQf8vn6vH4rfzch+fgA11WX9Puewz87bvbttuP/J\nJHV1VTQ2Ju+sPVKM5PhGcmyg+Aqd4its/cUX9Pvo6AzR2NjC9T9bxJadzvdZZ1cPjY0ttLrdcU17\n2gh3hagfFRsFs3r9bhqnjwHgF18+mTfW7ea+J1exsTF+m5XKsiJ27ow/lolt25uj29S0tcWqNlff\n+hQAX/vk0UwaG1vzqa2jG58Pdu3cS6lnxmBtVQlTGyqzfp2LgJnjYz/H0446gCde3sC8g+oH9bvT\n3tGd9vp98bsZ6nZe63SJlGbniYiIZCAY9NMdCtMd6okmUBDbtLjbMybKexzip+z7fD5mTRmdcouZ\nVPvkZSIyqD0c7uX3/3wr6fGHn1vD2i3NtHeGeGvjHlZtbIomXcWe3qF5B9Vn9e/35YPvns53rziG\nK86dnfE1n7lwTtz9itJgnxs5D6VwwpLz5aWpt6fxGnAlyhhzEVBprf3pQK8VEREpVEUBPx3dPXHj\nmCC2wnVkvFRkvJJ3baPy0uSv28TxUZB6oc9MdIXCFBcFWLkheX0qgFff3M6rnoU/IbYuVGR/PCBu\n4cuh4Pf5BrxI5tzpYykrCUZnLgaD/rRLSwyFB59ZzaMvxO/xV13ef0KbURJlrV0HHO3e/l2Kx0/K\n5HlEREQKVTDoJ9TeHV1eICJSwYh80Udmt3mXLzhz/qSk50uVRFWV9V/9iLj6gkO480+vA7FZg/2N\npUpl7KhYklOSok25UFYSiP78SoIBOroGvozDQCQmUABzZ4zp9zp154mIiGSgKOCnuyecNBuut9fp\nrlu50ZmlF5nGH1m/qaG2LGUlqqwk+Viq8/py2My66Gy4DdudcVSDrSQV58HEL4CgJ1FtGF1Oc1t3\nVuthDUZispyKkigREZEMBIPOopS/+nvyqj6r3GUOvM462qk+XXx66hns3krUlefN5ghTF7cxcCaa\n27oBeGG5Mwswm0oUxPaIK0+R2OXCh0+dwawpo7nh40dFx47tGcIFN+9/ahXf/+OSQT9Pfvy0RERE\n8tyqjcmJUkRLmzMz76gDYwOzJ42r4p5r393nNZF94iLXea/N1NnHTubhhes4xN3rLpxiQ+J5B9Xz\n0ortSceDnll5X/jgoby6spHDZ9YNuA37wqHTx3Kou3HxfmOcWYXrt7cwfmz/q4hn4rEX1wNON2hR\n0M9+Y8rZsrON7336OJ5evDllV2sqqkSJiIhkYHaaTXl/+tc3ADATazJ+vtHVybPzBqq+1hnP9ItH\nVjj7zZGcRJ00d0L09nGzx6U8XlVezLvmTsibMVFeE911rrbsGJolkrzdsW0dTiWvtDhIUdDPqMoS\nzj1+CqfPm5jRc6kSJSIikoGzj53MsjW70p4zkDFJR5p6zpjfwpyp/Q9g7ktkOYVe4OcPL+f8E51d\n2M6YN5GDp9RSW1lCp2cfvshK5eUlQf7fqTOy/neHU4lbsUu35Y5XV3cPn//h8zTUlnHNRYfFVfwA\nbvp1bCX31o4QoypLnIpUYOB1JVWiREREMpC4H14qA0mi/H4fHzx5OgdOqh1Em2JdcrtaOqPLLfj8\nMHvKGCbUVcZtX3L2sZMZU13KR06bGV0nKt9FN392k6hdzR3sbkk9Pioc7uVvi96mvTPEuq0tvPbW\njrjHQwkbSEcGq3eHejLaKy+RKlEiIiIZyGRj3uIsvogHI+BJ7Jpbu6LLLXgTJG+uNH5sBbdcdeyw\ntW8oRJLA7h5n3a0v3bUQgJ9fc3LSQPpHF73NX59fF72/JyHZ+uNTq+Put3V2u8+tSpSIiMg+k0kS\nFcjii3gwvLPpWjtCvLneWWzT58mcRlU6Y68OGkTFK5cilShvtyTA8nXJXauPuwPGI7x74QG8urIx\n7n5Xd5jm1i52NXdGV5wfCFWiREREMpDYnXfgxJpo0hIxprqU4TQ9YUmEPz+7BgBvvldZVsRvbzyT\nvc3tw9m0IVNdUUxx0M+WnfErxQcTktodTe20dcavJZW4LMK0CdXsbO6I3u8K9fCHfznb5DQlJFyZ\nUCVKREQkA4mVqM9cOIdTj4ht03LlebMZN7o88bJ9yu/3cefnTkg+njDeqbqiOFrRKTTBgJ/aqhL2\neMZ8QXy1DeCh59YmXdu0N/6ajY1OInbhSc4A/K5QmOoKZ3uXY2aNS7q+P4X5ExURERlmiV11Ab+f\nYs9A8siClcOtIsVGuQUyZjxjVRXFtLR307gnVk1L7H7zER90MOBn5cYmvnTXQsK9vSxetYPN7r6H\nkdXif/OY5YmXNwBw3CFKokRERPaJQCD+Szrg98UNJM+X1b4h+5XL81V5SZDeXvjqL16KHvNu8Azw\n3Otbordv+9Rx7F/nLMy5u6WTjs5QXNfehBSLdhZnsWWOkigREZEMeMfgBPw+/H5f3F5zma5yvS/M\nP7gh7n5kL72RIvKz9a4VdfdflkVnI3q77ABqq0qYOr46en9HUwePLFwXvT95XBWnzzsg7ppUexn2\nR0mUiIhIBrzdeQdNdma6eVf4zmQdqX3lE2cdxLsPj61A/laaLWoKUYrdbABoae2iOxTmC3c8Gz12\n4qHjAZgzLbaI6Q2/fJldzbFKVDDg5/hD9ot7rvqasgG3S0mUiIhIBrwDyyMDt0dXDX7rlqFQFPRz\n/olTo/c/dsaBOWzN0KsqTx73BU5lasXbu1i1ITZL8qxjnI2f0w3y9/t9lHvGkn3gpGlZDbxXEiUi\nIpIBbxIVWZl81pS+99Mbbt4B5sUFOhOvLyd79vnzcgaXx16XgyfXRitKY0aVMqEueezTdRcfAUBN\nZTGnHL4/pxyxP2fMz2yvvEQj66csIiKyj3in1Ee67oIBP+9/11QuOd3kqllxLjvnYGYeUBM3Hmgk\n2L++ksNmjAXg8nNmRY87Y6RifX1V5cXR2wG/n69/Yl7Sc1WUOWOffD4fHzltJh95z8yk5RIylT9T\nCURERApEUTD2pfveYybnriEJjj54HEcfPPCp+oXgY2ccyHkndDFudGzsUkdXD9//49Lo/Q+fEr+p\nst/nY/zYiujSBgBjRw187FNfVIkSERHJUEWpU3sI+PX1OdyqK4o5oL6SomAgOmjcu/p4fU1ZdOFM\nr298cn709hc/NHdIFx3Vb4GIiEiGIrPxWju6c9ySd7bIdjfNrbGtWo6Z3XcF7iuXHMl7jjwgOqty\nqCiJEhERydBRB9YDUJfFdHgZOpFB/vc9uSp6LJRmA+Gp46v58KkzkrbDGSyNiRIREcnQhSdNY9K4\nKo6YWZfrpryjrd3aknSsp6ePxaT2ISVRIiIiGQr4/SN24HYhCYWSq07pKlH7irrzREREpKCccOh+\nScdGV5cOeztUiRIREZGCctiMOmZNGc3ytbv4n4sPZ0dLF0fOGNP/hUNMSZSIiIgUnKsvOIQ9rV3U\n15RxbF0VjY3J46T2NXXniYiISMEpLgpktWnwUFISJSIiIpIFJVEiIiIiWVASJSIiIpIFJVEiIiIi\nWVASJSIiIpIFJVEiIiIiWVASJSIiIpIFJVEiIiIiWVASJSIiIpIFJVEiIiIiWVASJSIiIpIFX29v\nb67bICIiIlJwVIkSERERyYKSKBEREZEsKIkSERERyYKSKBEREZEsKIkSERERyYKSKBERESkIxhhf\nrtvgpSRKRESS5NuX1VAwxlQYYypz3Y59xRgTHImvW4QxZjTQkOt2eAVz3YChZoy5Gieuf1prX891\ne4aaMeYqoBd4wVq7ONftGWrGmE+5N5+01q7IaWP2AWPMScAUa+0vjTE+a+2IWqjNGPNFnA+516y1\nv891e4aa+/lSDDxlrX011+0ZasaY9wHnWmsvzXVbhpox5tPA6cDNwMIcN2fIGWOuAw4AHgUeyXFz\nhpwx5mPAbcAPgRty25qYEVOJMsZUG2MeAg5zD/2PMWZ2Lts0lBLi2wXcZIw5y32s4F9HY0ylMeY+\nYC4QBr5ljDndfazg4/O4ELjAGNNgre0dKX81uq/fn4CZwMPA9caYM3PcrCHjVjAewPn97AC+aIw5\nKMfN2hdmAJcYY2a7v5+BXDdosIwxdcaYFUA9cJG1dqHnsYJ//xljSowxdwCjgduBEs9jIyG+Y4wx\njwFHA68Aj7vH8yK2gv9ySniT7wGutdZ+D2gBtuemVUPHE18AaAKusdbeB/wBuAnAWhvOUfOGUhjn\n9bvOWns38H/ALTBi4sMYcxpwCLAO+DTACKpEVeAk99dZa/8N/B6nYjNSFANtwNXAj4FOnPfjiJDw\nh8oDwHcBrLU9uWnR0LHWNgLLgVXAV40xPzPGfMd9bCS8/0I4idOjwFXAScaYa2HExDcNuNlaeyVO\nAjUb8ie2gk2ijDFlxpg7ga8bYy4EeoAVwNeMMT8EPgBca4z5vHt+QcXqie9GY8z7gTKgCuevKXC+\niCMlzrzJygfCGHO5MeYy9+4BOB8E9caYgLX2QWC9MeYz7rmFHh/AEpy/FO8GphtjjnLPK7jYIBrf\n5e7dOpwK1B73/mlAo3teQb33IhLiGwPcY61tA74MfBDnC/nL7rkFF2PC76fPGFMOHG6t/QjQYIx5\nwhhzbg6bmDVvbO4foo8Dn8VJpK4D5hljvuI+Xuiv3QT3/8fgfMZ8AzjTGPNV99xCje9K9+5vrbXP\nuK/jLGC1e05exJUXjRgoY0wZ8HWgFXgQ+ApwLPBznPFCDe5/9+CU3csLqZqREN8DwFeBycAG4HPG\nmO8DVwC/Bua4SUdeZOUDdCJwnfv6WKAdOBsoch+/A5g9EuIDsNZus9Y+hJMAvwBc4h4vxNjAie9/\n3NdvmbX2IWttjzHmUCDo6TYpyM8Z4uNbZa192j3+OM7ny53AFcaYskL6fPHwvv96cP5QW2WM+Sjg\nw+m6/GcuGzgIibEtA34E/NqtTF0FnGeMKRkBr916nJ6X84Fl1tptON8P5xljSgs4vi+78fUaY4rd\n13ElToEkb3ooCurDzRgzzr3ZBczDeUO8htPtcwEwCafs/kdrbTcwCngIp9yZ99LEdxvOG+R3wLeB\nTcAXgS04b5qCKLl74sMYMwtoBizwHffwD4DjgPe496cBKws8vjeBb7rHAgBuNeMJYKwx5qIcNDUr\naV6/SHyRz5PpwM+NMXPcsQzvH+62ZmMA8a211rbiVKf+hDNGKu+lie9b7uFanG7mE3AGYP8Hp+qW\n99LEdrN7+FWcPzpHu/cnAw9bazuHsZlZy+Cz8yc43wdz3M+ZKcC/rLWF/rv5Tfdw5DvgSWC3MWa/\n4W1h33y9vfn/R7AxZn+c0fj1OLMOHgfOBSqstTe75/wYpzthEnAwTomzArjdWvtYDpqdsQzjuwt4\nCedD+1zgDPf8/7XWvpCDZmcsIb6HcRKIPcA4nIRwKfA+a+0bxpgPA4fjlG2LgRuttc/mot2ZyjC+\ns6y1b7pVtR5jTClOsrgp32d5DSQ+9/x7cbrzFgE/sdb+LQfNztgAX7/jgHNwxrb5cT5fnshFuzOV\nYXxnW2uXG2PmWGuXutdNx5lJ+o+cNDwDA3ztTgE+ivPdEAa+ba19KhftztQAPzvPA07BmdxRDtw0\nQn43vZ8tR+Ik+j/Il8/NQqlELQA24/RpNwD/DewGqowxx7rnPAp8zlp7F0733j3W2tPyPYFyLaD/\n+B4BLrHWNgP/Av5mrX1PvidQrgXE4tsP+BLQYx17gV8R+2v4Dzh//d5irT013xMo1wL6j++bEBuo\na63tsNY+nC8fBP1YQIbxGWOKcSZB/K+19tx8T6BcC8j893MRTqw/staeke9fUq4F9B/fNwA8CVTQ\n7cLM2wTKtYD+Y4tUo57B6ea6xVp7er4nUK4FZPjeAx6y1l6N8947YQT9bkbiw1r7Cs53e958buZt\nJcoY83HgJJxBZFNwsuo1xpgZOH9NlAKv46xpcqEx5iM4FaivW2u7ctTsjA0ivhvcrsq8lia+6cBl\nOBWYOzznbwI+Za39Sy7aO1CKL2V8n7HWPuiOX8jr96Bev8KNbyTHBoqPAosvLytRxphvA2fiDCw+\nFPgYEJklswF4DqftTwJvG2d9ocuB3+X7hzcMOr5CSKDSxbcRZ7DqJOOsPhtxCU4feN5TfH3GtwIg\n39+Dev0KN76RHBsoPgowvrxMonAGhP/ULdn9EGdWxUXGmLnuQLlGoNJauwmn6+ez1toTrbXLc9fk\nAXmnx7cdp9K217jT+621/7KFs0K54ksd3xs5a/HA6PUr3PhGcmyg+Aouvrzb9sWdAfMn4EX30IeA\nv+J0bd1hjLkUZ/BcrTv9sQ3YmpPGZkHxmUuBU3FmNgXyvWqRSPEpvnw2kuMbybGB4ivU+PJ2TBQ4\nW53glPfOsdZuNcZcjzNFtQH4krW2YJKLVBSf4stnik/x5auRHBsovkKKL+8qUQkm4PygRxljfoCz\nYNq1hTAuKEOKr7ApvsKm+ArXSI4NFF/ByPck6kTgWpx1g+611v42x+0ZaoqvsCm+wqb4CtdIjg0U\nX8HI9ySqC2fNp1sLpX90gBRfYVN8hU3xFa6RHBsovoKR70nUr2zh7iuWCcVX2BRfYVN8hWskxwaK\nr2Dk9cByERERkXyVr+tEiYiIiOQ1JVEiIiIiWVASJSIiIpIFJVEiIiIiWcj32Xki8g5mjJkMrAQi\n+/KVAUuBT1trt6W57ilr7cn7voUi8k6mSpSI5LvN1tq51tq5wIHAKuCBfq45aZ+3SkTe8VSJEpGC\nYa3tNcZ8DdhmjJkDXA3MxtlzywIXAN8BMMa8aK2db4w5A7gRKALWApdaa3fmJAARGVFUiRKRguKu\ncPwWcB7QZa09BpiO09V3lrX2M+55840xdcC3gdOttYcBj+MmWSIig6VKlIgUol7gNWCNMeZTON18\nM4DKhPPmAxOBp4wxAAFg1zC2U0RGMCVRIlJQjDHFgAGmAjcBdwC/BMYCvoTTA8Bz1tpz3GtLgarh\na62IjGTqzhORgmGM8QNfBxYB04D7rbW/BLbi7AwfcE/tMcYEgReBY4wxM93jXwVuGd5Wi8hIpUqU\niOS78caYxe7tAE433kXABOB3xpgPAJ04idUU97yHgCXAEcAngPuNMQFgI3DxMLZdREYwbUAsIiIi\nkgV154mIiIhkQUmUiIiISBaURImIiIhkQUmUiIiISBaURImIiIhkQUmUiIiISBaURImIiIhkQUmU\niIiISBb+P9k2UNt70sxzAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10adc4128>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data['CloseAsk'].plot(figsize=(10, 6), title='EUR/USD');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## SMA-Based Strategy &mdash; Mid Points"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = data[['CloseAsk', 'CloseBid']]"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\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",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2007-06-03</th>\n",
" <td>1.34904</td>\n",
" <td>1.34886</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2007-06-04</th>\n",
" <td>1.35244</td>\n",
" <td>1.35226</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2007-06-05</th>\n",
" <td>1.35044</td>\n",
" <td>1.35026</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2007-06-06</th>\n",
" <td>1.34344</td>\n",
" <td>1.34326</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2007-06-07</th>\n",
" <td>1.33694</td>\n",
" <td>1.33676</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CloseAsk CloseBid\n",
"Date \n",
"2007-06-03 1.34904 1.34886\n",
"2007-06-04 1.35244 1.35226\n",
"2007-06-05 1.35044 1.35026\n",
"2007-06-06 1.34344 1.34326\n",
"2007-06-07 1.33694 1.33676"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"data['Mid'] = data.mean(axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# data['Mid'] = (data['CloseAsk'] + data['CloseBid']) / 2 "
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\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",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2007-06-03</th>\n",
" <td>1.34904</td>\n",
" <td>1.34886</td>\n",
" <td>1.34895</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2007-06-04</th>\n",
" <td>1.35244</td>\n",
" <td>1.35226</td>\n",
" <td>1.35235</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2007-06-05</th>\n",
" <td>1.35044</td>\n",
" <td>1.35026</td>\n",
" <td>1.35035</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2007-06-06</th>\n",
" <td>1.34344</td>\n",
" <td>1.34326</td>\n",
" <td>1.34335</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2007-06-07</th>\n",
" <td>1.33694</td>\n",
" <td>1.33676</td>\n",
" <td>1.33685</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CloseAsk CloseBid Mid\n",
"Date \n",
"2007-06-03 1.34904 1.34886 1.34895\n",
"2007-06-04 1.35244 1.35226 1.35235\n",
"2007-06-05 1.35044 1.35026 1.35035\n",
"2007-06-06 1.34344 1.34326 1.34335\n",
"2007-06-07 1.33694 1.33676 1.33685"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"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": [
{
"data": {
"text/html": [
"<div>\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>2007-06-03</th>\n",
" <td>1.34904</td>\n",
" <td>1.34886</td>\n",
" <td>1.34895</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2007-06-04</th>\n",
" <td>1.35244</td>\n",
" <td>1.35226</td>\n",
" <td>1.35235</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2007-06-05</th>\n",
" <td>1.35044</td>\n",
" <td>1.35026</td>\n",
" <td>1.35035</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2007-06-06</th>\n",
" <td>1.34344</td>\n",
" <td>1.34326</td>\n",
" <td>1.34335</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2007-06-07</th>\n",
" <td>1.33694</td>\n",
" <td>1.33676</td>\n",
" <td>1.33685</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CloseAsk CloseBid Mid SMA1 SMA2\n",
"Date \n",
"2007-06-03 1.34904 1.34886 1.34895 NaN NaN\n",
"2007-06-04 1.35244 1.35226 1.35235 NaN NaN\n",
"2007-06-05 1.35044 1.35026 1.35035 NaN NaN\n",
"2007-06-06 1.34344 1.34326 1.34335 NaN NaN\n",
"2007-06-07 1.33694 1.33676 1.33685 NaN NaN"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\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>2017-05-27</th>\n",
" <td>1.11788</td>\n",
" <td>1.11681</td>\n",
" <td>1.117345</td>\n",
" <td>1.118674</td>\n",
" <td>1.086009</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-28</th>\n",
" <td>1.11660</td>\n",
" <td>1.11622</td>\n",
" <td>1.116410</td>\n",
" <td>1.118721</td>\n",
" <td>1.086715</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-29</th>\n",
" <td>1.11882</td>\n",
" <td>1.11842</td>\n",
" <td>1.118620</td>\n",
" <td>1.119559</td>\n",
" <td>1.087340</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-30</th>\n",
" <td>1.12434</td>\n",
" <td>1.12418</td>\n",
" <td>1.124260</td>\n",
" <td>1.119908</td>\n",
" <td>1.088081</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-31</th>\n",
" <td>1.12133</td>\n",
" <td>1.12103</td>\n",
" <td>1.121180</td>\n",
" <td>1.120058</td>\n",
" <td>1.088793</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CloseAsk CloseBid Mid SMA1 SMA2\n",
"Date \n",
"2017-05-27 1.11788 1.11681 1.117345 1.118674 1.086009\n",
"2017-05-28 1.11660 1.11622 1.116410 1.118721 1.086715\n",
"2017-05-29 1.11882 1.11842 1.118620 1.119559 1.087340\n",
"2017-05-30 1.12434 1.12418 1.124260 1.119908 1.088081\n",
"2017-05-31 1.12133 1.12103 1.121180 1.120058 1.088793"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.tail()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
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/+Ed46621ACxYsIjDh5tJJpNs3vwOS5cuK7j2j398lg984A4aG2egaRq7du0EyAVQO3Zs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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bfc17b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data[['Mid', 'SMA1', 'SMA2']].plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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JZXsNOwrewcNFx79v+hYhXlNPNOcTR/udcZhCF62t3fYOYdr0em8aGzvGP/Eq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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10add62e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data[['Mid', 'SMA1', 'SMA2']].iloc[-50:].plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# long position = +1 | short position = -1\n",
"data['SMAPosition'] = np.where(data['SMA1'] > data['SMA2'], 1, -1) "
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\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>SMAPosition</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>2017-05-27</th>\n",
" <td>1.11788</td>\n",
" <td>1.11681</td>\n",
" <td>1.117345</td>\n",
" <td>1.118674</td>\n",
" <td>1.086009</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-28</th>\n",
" <td>1.11660</td>\n",
" <td>1.11622</td>\n",
" <td>1.116410</td>\n",
" <td>1.118721</td>\n",
" <td>1.086715</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-29</th>\n",
" <td>1.11882</td>\n",
" <td>1.11842</td>\n",
" <td>1.118620</td>\n",
" <td>1.119559</td>\n",
" <td>1.087340</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-30</th>\n",
" <td>1.12434</td>\n",
" <td>1.12418</td>\n",
" <td>1.124260</td>\n",
" <td>1.119908</td>\n",
" <td>1.088081</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-05-31</th>\n",
" <td>1.12133</td>\n",
" <td>1.12103</td>\n",
" <td>1.121180</td>\n",
" <td>1.120058</td>\n",
" <td>1.088793</td>\n",
" <td>1</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CloseAsk CloseBid Mid SMA1 SMA2 SMAPosition\n",
"Date \n",
"2017-05-27 1.11788 1.11681 1.117345 1.118674 1.086009 1\n",
"2017-05-28 1.11660 1.11622 1.116410 1.118721 1.086715 1\n",
"2017-05-29 1.11882 1.11842 1.118620 1.119559 1.087340 1\n",
"2017-05-30 1.12434 1.12418 1.124260 1.119908 1.088081 1\n",
"2017-05-31 1.12133 1.12103 1.121180 1.120058 1.088793 1"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.tail()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data.dropna(inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = data[data.index > '2014-1-1']"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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cck46U8f0I9ykR6fVYDRosTkc1DXYwGbAZNQ5T3kALHVWJiefiaM+DBJz+H/b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c4+7N6Qc5C23/yaiMtF1VXXUL76QkwNU1Oq69EwRMtf9tmp855Jl20nxkYl0PRVsy8bVV4AQzS/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\n1kbCJ+Ygl+1Ft2AbRHT0akOIgBLSs6poxfAnywCmw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HJg/vCOWkRkaGjPnYik6sVm9sd4\nu4lwOPYcYBJwm5m9DdhNaPimxPXuBP4EHAecD/zIzJqAvwDvHsaxi4gMGV1bVkRERCQjOiwrIiIi\nkhE1dyIiIiIZUXMnIiIikhE1dyIiIiIZUXMnIiIikhE1dyIiIiIZUXMnIiIikhE1dyIiIiIZ+SfD\noVBUUW5ZKAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c0d3be0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data[['Mid', 'SMA1', 'SMA2', 'SMAPosition']].plot(figsize=(10, 6),\n",
" secondary_y='SMAPosition');"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Returns'] = np.log(data['Mid'] / data['Mid'].shift(1))"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\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>SMAPosition</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>2014-01-02</th>\n",
" <td>1.35931</td>\n",
" <td>1.35886</td>\n",
" <td>1.359085</td>\n",
" <td>1.370810</td>\n",
" <td>1.361908</td>\n",
" <td>1</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>1.370015</td>\n",
" <td>1.361563</td>\n",
" <td>1</td>\n",
" <td>0.000195</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>1.369332</td>\n",
" <td>1.361270</td>\n",
" <td>1</td>\n",
" <td>0.002520</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>1.368733</td>\n",
" <td>1.360950</td>\n",
" <td>1</td>\n",
" <td>-0.000899</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>1.367574</td>\n",
" <td>1.360600</td>\n",
" <td>1</td>\n",
" <td>-0.002972</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CloseAsk CloseBid Mid SMA1 SMA2 SMAPosition \\\n",
"Date \n",
"2014-01-02 1.35931 1.35886 1.359085 1.370810 1.361908 1 \n",
"2014-01-04 1.35965 1.35905 1.359350 1.370015 1.361563 1 \n",
"2014-01-05 1.36286 1.36270 1.362780 1.369332 1.361270 1 \n",
"2014-01-06 1.36163 1.36148 1.361555 1.368733 1.360950 1 \n",
"2014-01-07 1.35755 1.35748 1.357515 1.367574 1.360600 1 \n",
"\n",
" Returns \n",
"Date \n",
"2014-01-02 NaN \n",
"2014-01-04 0.000195 \n",
"2014-01-05 0.002520 \n",
"2014-01-06 -0.000899 \n",
"2014-01-07 -0.002972 "
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.00019496511841510917"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.log(1.359350 / 1.359085)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['SMAStrategy'] = data['SMAPosition'].shift(1) * data['Returns'] "
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\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>SMAPosition</th>\n",
" <th>Returns</th>\n",
" <th>SMAStrategy</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>2014-01-02</th>\n",
" <td>1.35931</td>\n",
" <td>1.35886</td>\n",
" <td>1.359085</td>\n",
" <td>1.370810</td>\n",
" <td>1.361908</td>\n",
" <td>1</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>1.370015</td>\n",
" <td>1.361563</td>\n",
" <td>1</td>\n",
" <td>0.000195</td>\n",
" <td>0.000195</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>1.369332</td>\n",
" <td>1.361270</td>\n",
" <td>1</td>\n",
" <td>0.002520</td>\n",
" <td>0.002520</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>1.368733</td>\n",
" <td>1.360950</td>\n",
" <td>1</td>\n",
" <td>-0.000899</td>\n",
" <td>-0.000899</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>1.367574</td>\n",
" <td>1.360600</td>\n",
" <td>1</td>\n",
" <td>-0.002972</td>\n",
" <td>-0.002972</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CloseAsk CloseBid Mid SMA1 SMA2 SMAPosition \\\n",
"Date \n",
"2014-01-02 1.35931 1.35886 1.359085 1.370810 1.361908 1 \n",
"2014-01-04 1.35965 1.35905 1.359350 1.370015 1.361563 1 \n",
"2014-01-05 1.36286 1.36270 1.362780 1.369332 1.361270 1 \n",
"2014-01-06 1.36163 1.36148 1.361555 1.368733 1.360950 1 \n",
"2014-01-07 1.35755 1.35748 1.357515 1.367574 1.360600 1 \n",
"\n",
" Returns SMAStrategy \n",
"Date \n",
"2014-01-02 NaN NaN \n",
"2014-01-04 0.000195 0.000195 \n",
"2014-01-05 0.002520 0.002520 \n",
"2014-01-06 -0.000899 -0.000899 \n",
"2014-01-07 -0.002972 -0.002972 "
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Returns -0.19243\n",
"SMAStrategy 0.11163\n",
"Name: 2017-05-31 00:00:00, dtype: float64"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data[['Returns', 'SMAStrategy']].cumsum().iloc[-1]"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Returns 0.824952\n",
"SMAStrategy 1.118099\n",
"Name: 2017-05-31 00:00:00, dtype: float64"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.exp(data[['Returns', 'SMAStrategy']].cumsum().iloc[-1])"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
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EnDYQRAVW7bi9biWbsuzQqrBz99Qf6PD1qmzVPLDyCV7b9h4vbn6jW2PqynTe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\nLrgRZWZmZtaF/wBzIAfU9/q6GgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f5bb9b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data[['Returns', 'SMAStrategy']].dropna().cumsum().apply(np.exp).plot(\n",
" figsize=(10, 6));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## SMA-Based Strategy &mdash; Bid & Ask"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Date\n",
"2014-01-02 NaN\n",
"2014-01-04 0.0\n",
"2014-01-05 0.0\n",
"2014-01-06 0.0\n",
"2014-01-07 0.0\n",
"Name: SMAPosition, dtype: float64"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data['SMAPosition'].diff().head()"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Date\n",
"2017-05-27 0.0\n",
"2017-05-28 0.0\n",
"2017-05-29 0.0\n",
"2017-05-30 0.0\n",
"2017-05-31 0.0\n",
"Name: SMAPosition, dtype: float64"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data['SMAPosition'].diff().tail()"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Trades'] = data['SMAPosition'].diff()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"data.ix[0, 'Trades'] = data['SMAPosition'].iloc[-1]"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data.ix[-1, 'Trades'] = -data['SMAPosition'].iloc[-1]"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Date\n",
"2014-01-02 1.0\n",
"2014-01-04 0.0\n",
"2014-01-05 0.0\n",
"2014-01-06 0.0\n",
"2014-01-07 0.0\n",
"Name: Trades, dtype: float64"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data['Trades'].head()"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Date\n",
"2017-05-27 0.0\n",
"2017-05-28 0.0\n",
"2017-05-29 0.0\n",
"2017-05-30 0.0\n",
"2017-05-31 -1.0\n",
"Name: Trades, dtype: float64"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data['Trades'].tail()"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Portfolio'] = np.nan"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Portfolio'] = np.where(data['Trades'] > 0,\n",
" -data['CloseAsk'] * data['Trades'],\n",
" data['Portfolio'])"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Portfolio'] = np.where(data['Trades'] < 0,\n",
" -data['CloseBid'] * data['Trades'],\n",
" data['Portfolio'])"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Date\n",
"2014-01-02 -1.35931\n",
"2014-01-19 2.71026\n",
"2014-02-17 -2.75210\n",
"2014-05-13 2.74276\n",
"2015-04-29 -2.24498\n",
"2015-05-31 2.18480\n",
"2015-06-02 -2.25512\n",
"2015-07-01 2.21648\n",
"2015-08-18 -2.22496\n",
"2015-10-25 2.21122\n",
"2015-12-15 -2.18292\n",
"2016-03-01 2.17348\n",
"2016-03-10 -2.23020\n",
"2016-05-19 2.24330\n",
"2016-06-13 -2.24214\n",
"2016-06-14 2.25184\n",
"2016-08-15 -2.25602\n",
"2016-10-09 2.22736\n",
"2017-01-18 -2.13316\n",
"2017-02-21 2.11132\n",
"2017-03-16 -2.14828\n",
"2017-04-08 2.11696\n",
"2017-04-20 -2.14538\n",
"2017-05-31 1.12103\n",
"Name: Portfolio, dtype: float64"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data['Portfolio'][data['Trades'] != 0]"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Portfolio'].fillna(0, inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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q70fSnb6oUcyaT2NxV8fWWf+ppAv1IpXJJAIQsQqyF0snNr2YRtEerNAV0Dhj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\nhPCY/wsmPUlXvGVa2AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c09cda0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"(data['Portfolio'].cumsum() * 100000).plot(figsize=(10, 6)) ;"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Date\n",
"2017-05-27 -0.98479\n",
"2017-05-28 -0.98479\n",
"2017-05-29 -0.98479\n",
"2017-05-30 -0.98479\n",
"2017-05-31 0.13624\n",
"Name: Portfolio, dtype: float64"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data['Portfolio'].cumsum().iloc[-5:]"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"units = 100000"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"pl = data['Portfolio'].sum() * units"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"13624.00000000008"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pl"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Random Walk Hypothesis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Simulating a Random Walk "
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"S0 = 100\n",
"sigma = 0.2\n",
"T = 1.0\n",
"M = 200\n",
"dt = T / M"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"rn = np.random.standard_normal((M+1, 10000))"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [],
"source": [
"rn[0] = 0.0"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"S = S0 * np.exp(((-0.5 * sigma ** 2) * dt +\n",
" sigma * rn * dt ** 0.5).cumsum(axis=0))\n",
"S[0] = S0"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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G7R93ItjHqDhY8L3aFWyKJTrSwMXqrnDAc3UfrehII5+6pYCBIR8/e6UsfNxM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\nFPtGQ3ld1jsBu97Gn6/9I5x6O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mtiVNEGmZzfP0+QrqRTmts3kA8GmXrxeQCCzz3D1PPP\nkiytJSdIVJbMpqcEUaTiDz9P619+EWPF/OsTfOoJkmdPY125iv033YMlESV3dNZBPnn6JJmhIezr\nN9D4tW9Q8zd/S+3/+tvLNsb0ltkpLrXR3x0gGr6wjskgiZSaDYwmM8iFaKKqqrw0HCAlK3RHkzw3\nFOC7hcH4auHwZBQV+FBjOc4LGCMuFiZ7oY/bNU77KfI7P1mcC/u6DYgmE9FdO89rRXMxLKSjiuXy\n/LBrlMf6/Hy/c5RvnR1mKJGmwWGmympEgHdlhAq0qujTYxJFH/89hHye9+1O0j/Vx0H/URIFA9Te\nCj2Nzjo6T/tRVWhdUYapoQFBp6NmYgSDHGbSVkvxLXcgiQLHuwM4b9yGoNMRfu1VMrKM5RKav0Qs\nQzYjI+tEXrtEb723A9ccc8+eaJJgJkd/PE1fLDUToQoX9I0TqSyKCuVXQZA+jelU4ugidXlXE3te\n7yaXldm4tQHzVfzO7wR+IwjV9ISmKCqJC9j+A/R1BmaE2HONOs0WA2uvqyW1qZuOla8zWneKVwZ/\nOW+COxU8S390EOdUOSoqpfVWBqLDKAkHMVUCVIJTLgyWcgRBQNSZGBkMo8gqBqOO4f4Qzz56fMYM\n9Fy0FtzTxwa1UlMlIWHMWqiwnt+ZeyqQ4PTRUZxuMxU1LjpO+Xn9zR50Jg/5TGheSfubx0aIp3Js\nX1NJYDzG0b2D2J0mttymrQyTYa1k2VP7XmzedXi9Ua67bhhVhaP7BlFVlciuHYilZnLmMQJ9P0fO\nJaivcKAm7VQbmmnUCYiSGaOtht0nx5FEgdvWV1N723bk3/8ruq1V/HTHIJLTRXbCz2ihCqei2Ep0\n/37UTBr37XcgOV2EXnyeyccfI/jE4+iKPKgf+IS27TlaK31REZ7Ns9WPqqIQfuM1pp57Br3Xi/Wj\nnySlN1I0NUnwqSdnqgunXnwBAPcd70GQJEx1dW+pUg5g5YZqVFXrF3YxVFpN5BSV4bgWpWqPJBhP\nZVlVZOcvVtbT4rTgT2UXLVJ+KxhIpDBLInVXIB1gsFQgSCZSsZ5rZlCZjg8yfOKfSEU6L73xNYRo\nNGLfuIl8aIrk6UtHyKdRWSh1H0lq98RwIs3XTw3SGUnS7LDQ5rIyVIhqLnXbtVSSQfeujFClklme\nfuQ4B3b0cTbmwHXTzZhiGVqHcrxwcDeTx46g6CSGSg00OOtoPzGGpBNpaitB1BswNTRi8oeom2pH\nFURGIxIt1S76x2MkRCO2devJ+ccpGRtC3jHCI/99gEx64XE0WBCknx2P8pNXO2d6kF5puOeYex4L\nzHrS7fKHZwhVtECoThTSttNGv1cDpWYDkgAD8csrUrnSGOqbovvsJCUV9gX9G3/V8RtBqOaWr8ci\nFxZ6njykrViWrz1fl6SoCv3RQYrcdtaULWckPsbZguu4oio80/sShowFS8JF3BHgkb5foKIgJIpp\nrnFhtSUIhe2owqwx4lCvFi264/1LaVpSwvhIlKP7FhZ9V9rKsEk2coFZ2VtFqh69dH40Ye8bPagq\nbN7eyAc+vg7MOjr3DdMTqQYU8hmtKi6Xl3nhwCBGg8RNqyp54/kOVBVuvrsVg1GnheMjnYiSCaOt\nFlHUY7RW4rD0UV5lZ2woQuBUF9nRUUyrtCpGRU4RGnmZ+jIHINCSXoKkZDA7WxiaSDA8GWdFowe7\nxYAgirStaWFti5fukQhpm4t8MMiYXwvpVRRbibz5Bogirltux/tbD6DmcoReeA7J6aTqC19kIivN\nbDsXybNn6Pzq15l64Xlihw8y9E//l4kf/wjRbKb8c3+IH22/cpuJnH+cof/3ZaL795FqP4tl6TJM\nF6n6Wyyal5RQXGqj6/TERY0+VxRKtx/r85PKy/xyVPt9tla4cRp0bCz4P52YujotXaLZPKFMnlqb\nedGVhBeDIIiY7PXI2Qi59CT5TBg5f3W73acLTZnTsbfeM+5qwblFaxIe2bV4cbrXZMAgCowkMiiq\nyi/6/CTyMndWF/Pxlgo+2lzB77VWcVulhzXFWnS2yKgnmsuTuYbWCZdCJp3j2UdOEAokEQToOOnH\ndtMtIAg0D9VRcno5J8QV9JXokHUCDNkJT6WobymeWdSafZr/WnmsBwSZM8fGWF7o1XmiJ4h9g7Zw\nqugbQA6m6Dzt58kfH11wrJ+u8EsBqqpVN18NOPQ6BMCfznI6HKfIqKfaaqI9nCCtFxElgUgoRTiT\nY48/jFOvY6Xn6tkH6ESRFqeV8VR20XYcVxqqqrLzlS4EAW68reVd25/z7eA3jlBdKP0yMRZlfCRK\nRb2bhPH8sPFYwk9aztDgrOPW2m0AvNj/OslckqMTJxmJj1EV0gTT0SI/Z0PtAGyqWcIta0oo9U6h\nqiLjIxpZUFWVwd4pDEaJ8mona29uBL3I6eNjCzbZFQWRZqENUZZwVmgDjSN2vnB4oCfIYM8UlbUu\nahuL+MWAn2CD9qAO+rV/cxktVbfrxBiReJbtqyvpODpKOJhk2ZpKygtu47nUOHIuisnRjFCoJDTa\n6gCoa9T+f3aHVqVmaC70MtRZSIZO4jGNo9eJGPJac2Kzs3XGOPT65fNXJg9sb0IniXSnDJreZFhz\nVi+KTZAZHMC6YiV6txv7xs1Yli5Dcjio+tMvYigtW9CvKh+JMPrt/2TyjV8SePxnjH3zG6R7utGt\nWkvnZ/4Uubxqps1D45rV2DdsIt3Tzfh/fUv73Dvec951fSsQBIHNN2mmohrJXTha0+y0srXczVQm\nx0PtWhpnyZy2Ls1OCyZJ5ORUHOUqRHwGC6vWWvuVWyGb7dr3Hm//FqNn/p2xM/+Bqlw9HVim4HuV\nS89q+1QlT2jkZULDLxEZ3/mOkS1jbR2Gqmrix47ONK6+FERBoMJiZCKVZf9EhPFUltXFdraUuWd0\nNrV2M9sqimZE654CAQm8i8rjX3n6LIGJOEtWlbOq0I5rKADmlWsYEbV7JGSpIFy2nbsc93Lodc2O\nZsOW+pljWAqEKmWFmHeCWCSNV9LG6OM9QSxtbWAwYA1okZ7ScgdTkwke/q8DHG/3zzufzoJMobzC\ngU4S2HNy/KpEUSVR86IaS2bIKSqrPPaZPo57JiM4XWbCUyleGQmQV1VuqfJctPjgSmDamPfg5OW1\nyLpSGBkIE5lK0bKs7NfKe2oufiMIVXQuobpAhOrkYW1Abi/S8dDZofPKS3vC/QA0OGuptlfSVtRC\nT6SPL+78W35w+hFQBbLD2gMTyhWiRqrA+9etp6UsS3GR1hpluF+LPkRCKaLhNFV1bkRR5GwsSazU\nTCaZY7Bn4RYSRQlND+Qv7iFrSKEGTPM0YZPjMV59+gyiKHDd9kZeGw2xd2QKZ5kWAYkU5pp8Okhe\nVnh+3wB6ncgaFxzZO4DNYWTj1tmBbLpFjMU52/LEZNMiN+Ulk4iSQP+UgFRUhGrRrldx/W8BIuGh\np3hwXScNrmEEQY/eWsf+M5pWa0XjfCGi12Xmnuvr8KORoozfj8dhJLVXW9G7tt4EaASl8vN/Sv0/\n/SvGSk3jNhpMIIkCXpcWRldVFf+Pvo8Sj1PzkQ9T/rk/wHPf+6j80y9y9K4H2JWGh9qH6IoU0oou\nO+Wf+Szln/kcosWK2deKubVtwev/VlBV56a6oYiRgTAHd/bT0z65YBPlWys9NDm01B7AtorZDvc6\nUWSJ20okl2covrjVZSInI19ELzgXA4Vj1tiuXNWT2dWK0VaP0VaPzliEIqfJZ0OX3vEtQFUVsklN\ntJxLzzpxpyKdxCb2EZvcT2TsDSZ6fvyO6KwEQdDE6bJMdO/uRe9XaTWhAs8PBdCLArdWXlzA6zFq\nepSJd4FOBiCbyTPcN4W3zM6Nt7ewpNB25fSxUYLNN5DW2ymPdmLNhAhHSxl5UxtD7nj/spm0GIC5\nqRnHDTfSv30pY6VaVqDnxBilLhOn+6eQBR1ys4+0qk3S939sLVKJFfIKP3vyNP/xi5Mc7phg35lx\nRkeiKMCDd7WxsqmYkUCCAb8W+f3lsRF+saP3in3/uY3WV3vsWh9Hg44jgSiSzUA2k+fEWIQys4HV\nVzE6NY0WpwWnXsfxYOwdiWJ2FoqfWleUEc3meXEowPFg7KoX3FxL/EYQqnkpv/D5E1IomKDrtB/Z\nqiPi1JNVVPzJ+X4uvRFNhN7g1AjFJ5Z8mDvrbqbOVk9eBtVfT5FkwGo38vlb70MSdNQ76rEZTSgZ\nP0XuKCoqHacntFVaId1XXQhdDycyJCo1QnH08MIu00rAgIpKr66dhCOAkoVAYTAIBRI8++gJshmZ\n7Xe3YvFY+OXYFMVmA59YWYNilMhPZVEULUL10oFBgtEMtzRa2PfMCVQVtt7RMs9kLRXpBEEsVG1p\nMFirQJBQcgNUOBQSehes304+rdkimGy1uCpuRsmnqHWOYzPmyBsaOdQRIprMsXFJKboFqmvu3FiD\nVKxZMRhjU1S7jMQOHEDn8WCZY5UgiCKiXhuoVFVlNJCgrMgyc8zYvj0kjh3F3NpG1Qfej33tejz3\n3Id1ydKZiqnJdI7eWAqjJM703bJv2EjjV75G5R9/4YqHojdva0CUBA7vGeDlJ0/z6HcPzvSxmoYo\nCHyosYxik55lbtt5eooVBU+oxaT9huJpvny8l79+8zQ7xkKXbIo6EE8hCrO9Ba8EJJ2F0uaPUtr8\nUaxFmu9XPhO+Ysefi1w6gKpoz6uci86QpmmSVVR9FxbXElCVeRGsawnHxs0IOh2RHW8uWpw+raOS\nVZUbSt2XLBaYjlBNvEsiVBNjMVQVKmtdCIKAw2WmuqEI/0iUo+1JRFWmMXiUtZzFYJTI5xS23tFC\nRc38fpGCTkfZJz6JfcVKsuYEngYDwYkEbcU2MlmZzqEwyZalhM2l6CUFu8vEqXACFSgz6DjSOck3\nnjjFQ0+fQa8oGCx6yjxWri+YGO85Oc7uk2P88MUOnt3Tz6D/yqTWp8eWaqsJj8mAJAhsKXeTV1X6\nVI1ESKk8t1cVX7XqvrkQBYG1XgcZReHkVZIPXAi5rExPxyR2p4nyKid7J8LsGA/xaO84//dYH0/1\nT1zT87la+I0hVFa7EUFYOEL1WkE7FK2wYs1og920GHQafZF+rDoLJYVu6jaDlbsbbqc5czvpw7fy\nQPN7UHIKZZUOWsrK+JuNf8LvrXwQ0AZ2SVII6/KkE1l+8K2dnHxuDwA19RqhGoqnyNn0ZJwG/APh\n8/L/uWye4FiSvD2BossTc2oTw1BfiMnxGM88cpx0KsfWO1toXlLKcCKNCmysLKJ/OEraJCFlFfwp\nL+HQCL94sxeXVY+n/QxRQxFl0W48dj8jp75CZHwn+WyEXGock63uHPNRTUeVS41REjgJwJi1Gjkf\nR2/WCJGjdDPVK/+KMf2DfH3nGr63t5r/evYMkihw48qFqxJ1ksj2W7XGxa5cjNbUIGomjWPz9QgX\nCIWHYhnSWZl6S56JR37C8L/+P/w/+gGC0UTZJz45bz9ZVZlIZamwGLm9SlvpV1qM88iToNPNkLUr\nCU+JjQ99egO3vXcJa6/TCPnh3QPnbWfRSfzJslp+u+l8sWaj3YJFJ3IqdPG0n6qqPD80iaxCLJPj\nxeEA/35qkLS8MKnKKQqjyQwVFuNVSznoDNoEmc9enV5z2aS2ABEkjYROR6myKS11bHEtxWSvL7z3\nzgzcks2GfcMmcv5xYocOLGqfaVJt00ncWO6+xNbgKURE3i0RKn9B3lBWOes1tLQgRE6ncjRX6THK\nKUpXtvLeB1dzx/3LaF1xYaFyjb1Qed2sLUaEoLZQPt4TIFDaQFZnwZ2f4nD7BPGsgt5uQJdV+P17\nlvChm5v54I0NSAjUFrz1ljUUYbfo2XVyjO+/0I5UsMHZdXLsinz/aWH66uLZ6NNGr5PfaamgtlS7\nJi2qQIvz8vsF9ncHeO2ZsyTil/dbryt2IKCl/aLZPKdDcfzXwEqhr3OSfE6hZVkpgiDMFNjcXFGE\nXS9xKBC9pm2TrhZ+7QlVNpMnmcji9liw2Y3EIvM1VJPjMcYKuXeLWY/tuJZuG4mnGY2Pk5GzRDIx\nAukp6p0181zJVVVl/xk/Bp1ISeHhmTYqK7F4sRu0VFs2NYYgmQiaTMRQyacEIsYSDEoSq91IIicz\nlc1TPtyLUqId59iR+VGq0aEIiqJiL9ciSMZS7eY7c2yUJx4+SiKe5fpbmlhSICzTvkb1TguvHx4m\ngjYJdwVq0SsTlDkz/E5xiC61Cr2cpiVxmKmRZ1DyCSJjb9DV8RgnlWZ25Ffxo65RRucIGad1VC61\nEx0yXV0R+gfLSaa8M3oEQZSorSgjmLQwPJmiusTGXz64huqSC7dzqG3TJr2ibJTKkTMAODZfd8Ht\nR4MJUFXWHX2a8Ksvkzx7GsnhoOyTnz7PRDGQzpJXVcotRraWF/FpXyXvqyu5wJGvPJxuM42tJazf\nUkdppYP+7iABf/y87S4UHZNEgaVuG7GcTF/swpU67eEEA/E0bS4r/3zzclZ77ERzeTrCC4vChxMZ\nFBVqr2C671zMEqqrk/Kb1k9Z3VokM5cOoKoq2eQ4OoMbUWdCb9J+61zqws15rzaK7rkXJEmrKr0A\nwZ0Lj1HPbZUePtRYtihfsGlTyHdLhGp8tND8tnLWcqS2yYPVbkCUBNbft4GK//EnFN15Fx6vbaaH\n3oVQUzAxHmOIxlYv8VAKr07keHeAYEQbD93BHnbv7wagqUUbA+wq3La+Gp9XG3s8Bb2lThLZtKSM\ndFZGEOBPHliJw6Jn32k/ufzbn9w3eJ3cVulhbfEsoRQEgWanlc2VGsny7NhJbvzyCJyqqux6pZvO\n034e/8GRmSzFYuAy6ml2WhhKpPny8T5+3D3Gw11XhkBeDB2nNC2bb1kpqqoykkjjMeq5udLDao8D\nWVXpf4crEK8Efu0J1VShJ5zTbcbuNJGIZWdMNFVV5c2XOpGyClmbngdvamZZgwdkle5QhC8d+Ar/\nsO9feGngdQBKrU081D7MiaB2A/ePx/CHUqxqLiY0oX1OacX8XLiST5HPTGG0VPD/fXIj9z2wAj1a\naXNJtI9jJwcZimuTXYl/hMb+fSiSwNkTY/N8qUYK2quGBk2IXuUuwe21Eo9mkCSB9/zWclbM6Tc4\nXFi5VFhNnB0MoRYGZH/BbPNja0Ocbk+iiDq8LWY6791CTsnjKLuRMcNyfpq+jt3KOo7EjJwNJ3hu\naDZVYioQKn21kSUtNtIphdNnm3nhWR3f+cpOnvjREQ7s6KPYYeS+G+r58C3N/O9PrKOx4uJeTqLJ\nhOR0UadG0A/1YGpswlB6vi3ENEYDSarSE5hCfqyrVtP49W/S8OV/wb523XnbTvfKKjNrOpMGhwWP\n6dp7oAiCMBOlOrL3/CjVxbDEpf12PdGFyZGsqrw4HEQAbqvyYNXr2FIwfJxuoAuaaeiPu8eYyuRm\nBOk1V9E9WTJqhEq+WhGqxAiCoNPSemhRqGw6hCKnMFi0iIfe5J15752CwVuC84Yt5PzjM1qqyPgu\nxju+g6qcT7AEQWBbRRENjsVFMAySiEOve1dEqFRVxT8Sxe40YbHOPmeiKHL9fW1svK8Nu8OEbcXK\n83ptXggWvQWv2cNgbJg112ldJmpFiUA4TWxYG5NdyTFCR45SUWxlRSEaNtAdRFVVjh/UqrjnphS3\nr6mk0mvlM/csZUldEZuXlRFP5Tje/fZTww6Dbl7RwDRUVSX7+jMAxBUjQ//6zzMttxaD4f4QsUga\nZ5GZRCzDEw8fZbB3vr9gT/sEwcnzF2wA28qL8Bj1tLqseIx6gpkc6UvIAqYRyeb4x2O9HA4sXtge\nj2m9bcsqHTjdFqYyOVKyMpPSbirc392Rq1sJfC3wa0+oQoE5hKogXI5F06TzGV7bd5iJsRiCCkKZ\nhWKzkZo6N4Z4jrAMIBLJRnlzeDeSVMGJSDn9sRR7JzQtyP4zGuvetKRspnN28TnVC9mkxv4NlnIc\nFgO+Bg8rwgewZMNURLs59sTL9PQOAVCWidPceZx0hRk5lWf/Lq0qKRpOceb4GAajjvWtS9hUvo5t\n1TfQZ5dIFhlZ+x4ftXOE3qqqMpRI4zLoGB6Jks0ptNV7UEUwpCUUzARGY4TMZZR4dRyoLeOgYz0/\ny93FvvxSnkkuAyRucU7xh0traHKY6YulZiZfnViEmpKRWuxsuncNd96dYPnSTpranDhcZvyjUQ7v\nGeDkoRHuu6GeW9dVIy0ynWQoKUFIJ0FVcVx3w3nvpzJ5wgWyOBpIsKYgnHffdgeS+cJRlmn91NXo\nlXW5qGkoorjURk/7JKHg+QL1C+5XID2D5wjTI9k8XZEELw4FmExnWVvsmKkQLDUbKDbp6YgkyCkK\nsqry9MAEp0NxvnlmiOOFxcHVjFBJOhsIEvnslddQKXKWXHoCg6Ucg1lbbOTSAZJRbfKcJlSizoSk\nd8wTrb8TKLrrXgSdjuDTT5Ia6CM6spNscpRc5spouzwmPaH0O9+ZM0aSAAAgAElEQVSzLTyVIpPO\nz0v3TeP5cJSfRSI80jNGIre4iXwaNfYqkvkU/9Lxbwh1MYSsTDUCuckUqgTWbJh1gZNst4Vwu4zY\nnSaG+qbo7ZhkdDBMbaNnpooZoLTIwj98aiPrCj1LbyhUIF+ptN9CiO7ehXxkDyIyuZJa5HCY4X/5\nJ/KRxT0fZ49r57b9rlZuf99SVBVeeuLUTMT7+IEhXn7yDG++sLAnW53dzBdW1PGx5graXFq0broY\n5lI4E0oQy8kcmrz44khWVZ4dnORsOE574XxblmmL4+l037R5ba3dhE4Q6LrAQvFXCb/2hGoqoP1I\nDrcZh1P7AX965Cn+YtffceLgKLJBS7FUNWmEpLzKiT6WBUGkxrGEv1z/eSrsG7CZ70RWNT3DUCJN\nOidz4Kwfq0lHW62LwHgMT4kN/TlOvYlwwVbAooWr85EwrkAXN+lOYMtFaPKfoXtcG0yX3nUX1opy\nKmJnyJskTh0cJuCP8/qz7eSyMltubcJiMvHRtgfIRZxEqiwEVxezPzg/5BvO5knkZYqG+xj46aMA\nrGwqRnSZkBI5splGzvY0IAkymTVuVEGkRhkmJpjZMR7GKIl8qrWG7S0bqbAY2Vau6bzeHNOiZKn2\nTuSuOIJJJJscwGTwU1Pl55Z7lvPBT63n4390HSaLnkO7+i/qEr4Q9KXapCjodNjXn9/F/ls/O8z/\n+Y/X6RmNMDU6gS8+gL6iEnNzy3nbzsX4VWw+ermYG6U6tm9o0fuZdRIlZgNDifSMq/pQPM0/H+/j\ne52j7PZrv90tc6rBBEFgqctGTlHpiiQ5HYoTyuapsBhJ5WXGU1ncBh0Ow9Vr6ykIAjqD66oQKk14\nrmKwViLqzEg6G7n0JMmolgacbvMEWpRKzsVQ8tfOhyefDTN29tukIppPlr6oCOdNN5OfmmL4O/+E\nKmrR6uTQmSvyeR6jHhUIXcAg+FphWj9Veg6hysoK44XJ+8RUnK+eGjivvc7FcEfdzawpWYEkSpzy\n7EY2ZyhFQMorpN1Gxjz1lGZDVL36CP1//ZfUVFvJZmTeeL4DQYDN2xfo7TkHlV4bDRUOTvYGOdET\nZM+pMY52XTkSnp2YYOKnDyOZzXi8NsJpEfPt95KfCs50hLgYUsksfZ0B3MUWSiscNPi83HJPG/mc\nwvM/P8mBXX3seV3rUDAxFp3XgHkhlF1mS5ruAukZjKfnFbsE0tl5GqidYyH2+MO82j3B0f2DmCx6\nmto00jqtT57WCOpFkXq7GX8qS3SBZtK/SvgNIFRaBMBsl2hPa67fI4EgpWYvpqQdUVbJG0WW1Wmk\nweYwYUwXPIrcayi3lpHOr0BV4H3lxawpdqCosKsvQDieZa2vhEgwiSyrlJzTOTsV7SERPIreVILZ\noTmPZwY1407L0uVYVqykJBsi7HBiT8YpbmrE8777aT17mHCLA1WFp396jLHhCA2+YpqXzvpOPXl0\nGLFA3gYy8x+Gaf1UUW8ntlMHMOgEWqpdOEptCCrs3mUhl9NT2xLgTF6Hmyi3/vIF3vvio1xf6uJz\nS6qptc9GLOrtZqqtJs6GE4wnM6S6OpA7tdVQYuoEudQEelMxgqhNymaLgetvbiKfV9j5ctdl+bwY\nSrTvaF21Bsky36wzODLBdXse5pPdj/Hmfz5McdcRJFTcN99yycq8sWQGp0GHWXfx1hTXCvUtxThc\nJrrbJxZsOXQh1BRc1f2FSejkVAwVTa/xQEMpn19acx45WlowDj0VirNrPIQAfKixjI+3VGCWRFpd\nF9a1XSnoDE6UfBJFXtxKeLGYFqQbLVq6W2fyImcjxEJa+bveModQma992i8ZbieX9hMcfAo5p41F\nnrvuwbpiJeYbZvtMJvpPXpHPm670C2au7HW+XPgL+qmyyvlp/rFkBhXYXOLklkoPibzMXv/iiXaF\nrYxPLXuQ/3PdX1HpLGOo8SjTo8tEIMUP3VvYdd2D2NdvID8VxJvRsgi5rMzS1ZW4PdYLH7yAG1aU\no6rw1ceO851nz/L1x09yun/qkvstBpOP/gQ1k6HkIx+lbU0VqgqjNq2KOh883y5HVVXeeK6dH39r\nH/1dATpOjqMoKktWVsyMeQ0+Lxu31pOIZXjxiVPoDRJNbV5Uddam50KYlkCcW9W+EGRFpTeqLZBV\nmLGeGUtm+OqpAf7zzBDRbB5/KsNro9r1yp7QxOibtzVgNGnj0nAig8Bsf0GApoIwv/tXPEr1G0Oo\nvtf3Q44njgFwnXMTf+j7LAICogxpj5HaQjolkUuSlbWHMJ910R5OIOsEUmNJDh8Zo9GhEY0z/n4+\nteE4G9uKmBjVIkSl5bPpPkVOMzX4DCDiqb0PQdQm8vSgppsx1dTg3rqNmMNNxmTBXSAd1uUrMdqd\neGODJEtMZNJ5zBY9N94+6yzbPRJhXNaYvKCoqFYdPROzOe1pQlU8MYo5l2SdB/Q6keqCdiCdN2Ez\nJ5motKMgsq3CjclcjnOwlzvcJq07ut8/c66CILCtUGW0YzxEqrMTgjKSwUUydAZVyc6IfqfRvKSE\nyloXg71TdOw+u+jfy7hkGe1ly3DcfOu81+VkkrF//wruXAxEkRvGD7IpcIyczoBj4+aLHjOeyxPL\nyTODx7sBgiDQvLSUfE6hr3PxK+Dp+3TaO6ojkkAvCtxVU8wqj2Oe9800Ki1GXAYdJ6diDCcytLms\nFJsMNDut/M9V9dxd89Za61wOZoXpVzZKNS1IN1i1CPA0aUqE+5EMLiTd7MJg+h7NXsO0XzahpR6V\nfJLQsNbWSLLZqPijP0ao0oGgjQu5+DhK7u2ToOlKv3e6Bc34SBSdTqTIO5/AjBYWAlVWE9vK3Vh0\nIp2R5GWbawqCQIOzjrhlCkutGRmVjN3Ah7Y38Qd/dBee+94HgH2qF4NR0uQSW+oWdezrlpZx89oq\nbt9QzQe2NSII8PBLHeQWqTO6EBKnT5E4fgyzrxX7xs00LylFpxfp6tMsHnJTQXI5eV5U6eShEdpP\njhMNp3nh8VMc3NmPJAm0LJtv6rx6Uw1tK8vRGyTueP9SVqyvBrRWLxeD12xAZDaCfzEMJdJkFGVG\netAR0ebWfRNhFBUm0lkeah/msV4/sqpSm1axTKSwlVjxLdfSfYqqMprIUGwyzCu0aP410VH92hOq\nUCCB3iIQFtbjKt4OgC6judQqkkZQYu4YZ6a0SX/nyF6S0jAoKiOJDDtGtBsyORJn35lxjFkFEUjq\nJardMWqLEjOrsdI5EarQ8MvIuSjOsi0zOg6ATIGkGGvqsC5bzmS9lqqKZbXJPpXJs1cpo/XMYUIt\nLgxVdm5779J5TSSf3t2P0WtGLwj4DFrp/xs9s5PEUCKDoCp4JrXc9QpJ+w5tdbOl19kVlXQIjRTp\nYU1FPYYKbULKjGpNeEe+9hUGv/T3JM5oKUufy0qJ2cCJYIxAOIKpoRFr0QpAC/NOT2TTEASB1e4Q\nqApHXztNbmr2wT7ZG2TgAq1YjkQNPGlbw8H4rBBXyWQY/Y+vYQiOc9TRQvnf/SOJWs09Od66FtF0\ncUH1dIrh3ZDum4uWQsSx87T/ElvOorqgdRqKpwmms0ymczQ5LBe1PBAErUJQLsxZ00J10ExDr0UL\nCMkwLUy/coRKUXJk4gNIOhuSXnv2psXnwLznbu5711JHlUkMI+qsGK3VJMNnSIS05ymXGkfORrC4\n2kARwSGSOHr0bX/edKHFO0mospk8U5MJvOV2pHOqE0fnaBlFQaDJYSGayzORvnwy2VjwBCzbnGb4\nxnJW3lrPbRtqsFkM6EtKEc1mcgO93PXACu798EpM5sVZohj0Eh+5tYUPbm/mPZtquXltFf5Qiuf3\nDRJLZvn+C2f5hx8cvKw+gKosM/mzR0AQ8H7wwwiCgMGoo6m1hFg0S8hRQ3Iqys+/d4gffmMvB3f2\nMdwfYu8bPZgteu750ApKyu3k8woNPu9530UQBLbd6eOLf387VXVFeMvsGE06hvpCFyWrelHEYzIw\nnspektROR4+2lLmx6yU6I0mSeZljwRhuo45thW4Po8kMK9w2rGdDqIBhpXdmjAmkc2QU5TzPu1Kz\nAbteojuavCrdIK4Vfq0JVT4nE42kiRlySJKXhN6NKAlEw2lChQoIRRSI24d4Y2gnz/a+zLO9L6O4\n4ujjOaYUmcFUhmw4w5JSLQX31I4+8tEMUclBWjWQT/vxj0UxGCVchQa9Sj5FYuoYepMXR9l8YXVm\ncBDBamVYb2Yykyd1210ADAxEyWRldhwfo8NYQflIP5Zcgv5WJ47y2ZRM31iU9okoOrOONreVWxq1\nVXdfYYUhqyoj8RTOUICcXjufkrC2irdMDqMzJUhWm+mxWVAQ2V5ViiQIM87j2dERUl2d5Cb8IMuM\nfuPrpAf6EQWBrWVuFOD0io2YW1qwupfPnJfeNH/FlBkaIv3UT7DlIkT1bkYf+haqLBNP5fj3n5/g\nq48dJ7uAIHWwIKzsGCz0GwwGGPryl0h1dtBuraVvzW24y72s+pu/wPRHf8Hqz/3OJe+D8cIgrvZH\n+clD+3n5ydMcPzBEPPrO9LSahqvIQkmFneH+0KL9ZIpNesySyEAiRUdhNdfqunQaY4lbu4dqrKZ5\n6dxrBZ3xykeoEsGjKHIKq2f1zICtN81G2+bqp7T3CoQqdW1SfvlsBDkXxWitoqjmXgRBx9TQs6Rj\nfSTDWmsqi7MVvdGD4NIT3rP4Xn8XwrR1QjDzzhGqadPahQTpo8kMOkHAW4gWtzi1e7fzLUQm6p11\nAPRGxxD1EtY56XxBFDHV1ZMbH8fr1r2tVifv29KA227kub39/PV/7WfH8TH6xmJ844mTi7ZXiOx8\nk+zIMI4btszrE9pWqEQcKVrGQdoIT6UQBDi0e4BnHjmOqqrcet8SquqKuOuWMlb5X2dptv2Cn6Mr\nyEBEUaC63k0iliEUvPi1LTMbyMgK4Uvol7ojSUSg0W7G57SSzMs81T9BTlHZ6HVxW1Uxd9d4aXFa\nWCfoiU2lyJRbGNCpM2Rtuo9g5TnGxUKBXMfz8gzp/lXEogiVz+fb6PP5fln4u8nn8+3y+Xw7fT7f\nN30+n1h4/Xd9Pt8hn8+3z+fz3X0Vz3nRiBZc0fMWB3J+BFmNIFn0xCIpejsDiLJKvMpKrVNHT6Sf\nF/pfpcjk4vc2/zamZB61MEhnh+Pc5PNSXWLjaFcAXTwCCIyqJaSio0SmUpSUO2YG9UxB12F2+hCE\n2YdcTibJTU7Qs3Er/9UxwldPDXAomkFQIRnKcLRrklcPDxGzFhHXW2k5cQBZVXlpODhzQz67R4tO\ngVZGX+Ewo8vIKFYdA5NxJlNZcioUT4xxyN5M0mBF7tN0TLF9e9h66jE+u9rOX66s5/eXVM+0PDBU\nFiJUIyNE92gl3a6bb0XNZhj56lfITU6ywmPHkc/Q5VuJ3NyK3uTBYNF8rwzm2ZSfkk4z9u3/RM3l\nKGsoQRF1BAYDBJ95ilN9QWRFJZLI8stjo+f9ZiOTs4QqfuIYg//wd2SGBokv2cDTZTewvk0LHQuC\nQM3KNgzGS6fxxpIZrMMJencNEplK0dM+yZ7Xe3jl6cWnIq8WfEvLUFXoOr24SV4UBGpsJkKZPIcL\nlTbTk9LFUGcz8b66Ej7QcH7/x2uBK53yU1WZ6MReBEGH3bth5vWLRahEyYBkcF2zCFWmkO4zWqvQ\nmzwU1d6LquSY6H6YeOAQgqDD5GjCYK9AkATSI13kphZuO7VYGCURp1H3jmqoxkemI/bz9VN5RWEi\nlaHcYkQqjJXTJfPTepxUXuax3nEGLuK1No0ikwuX0clgTPs9LefoI411mq9dZuDy7EnOhdmo48M3\nN5OXVXJ5hQ9ub2Lz0lJ6R6P85NWFK+nmQs3nCT79JKLJRPF775/3XmmFgyKvlQldCRFDMY0+Dx//\nw+tYtbEanU5k07ZGKmu1iHJ055t4YoMk3nwFJXNp0lE9bRrde/G0X2khcn8xg89wNMW4P0aV1YRJ\nJ+FzWRGzMu0DU+gEgXVejTxfV+riEy2VDJzRfhOPz0M4m58h+CMzKd/zswXTi76Hz/E9/FXCJQmV\nz+f7c+A7wDSl/ArwNx0dHVsAAbjP5/OVAf8DuB64HfhHn8/3judXzrRr1Q5x6RTx1PMkky+QNIik\nU3nGx2LIOgFHm4fbazchILDM08pfrP88ta5qSnQFYW9OpnkizZ7nO1nt1IhMk0m7QUfUUhIRLa02\n15Ru7kA6F5khTZDeXtOCCKwptlNrM7HKaQVF5aevdTEVzXDDygqy9a20nT2CM5/jcCDK80MBBsaj\nHO0K4KywIQnQ4tIGo0arGUEUeKrXz56CwLN4YpROYznZqgbkWIzMwACxgwfQud1YWltxGHRUWU0z\nJNBQVg6CQLqvl/ihA+iKivB+8MN4P/wR5FgU/4++jwis6DqJrNNz1Kp936KaeyiquQedcTaNFHzu\nGbLjY7huvZ3qFVpVTay4nqnnnqH7mDYASaLAC/sGzotSjU7GWBXp5ANnH2f037+KnEpS8uDHeLl0\nE6ogsaZlfmrxQtjrD/Nnr53gpeEAY+2TFHWEMVn0fOjT6/nIZzdSUm5nfDhCMrH4iUe+AmZ/56Kx\nzYsoCnSeXnzX++mee2MF53fnIir0BEFgvddJ8TvgvQVzCNUVaj+TDJ1BzkawelYh6WcJpaSzIOq0\n/59LqEAjXEo+MSMQv5qY1k8ZCuOA1b2MkqaPIurMKHIKk6MBUTLMkEDBpZtZzLwdeC1Gwpk8+UX2\ncrzS8E8TqnMiVP5UFlmdn3p3GHSUmQ30x1JkZYWXhgMcDcbYf4myfJjWUdWSyhf0p+cQKlO9Nvak\n+95+f751rSX82YdW8aXf3cjtG2r42B2t1JTYePPYKLsvYbGQOHMKORrFcf0WdM75JFMQhJkeh67U\nOFvWuzEYdWy+qZFPf2ELqzZqWigll5vxLlNSqUtWBMaPH6PUpo2tl9JRlReiheMXEKbLeYWnfnKc\n0v0TODvD5PMy0niCsn0TlB2cpK4zijCnsCabydPbOYnDZaKlXqs4nk4XDifSiECZeQFC5bLynupi\nYjmZb7cPcza0sI/WuxmLqZXuAd4P/Kjw/7XAm4W/XwBuA2Rgd0dHRwbI+Hy+bmAFcPBiB3a7Leiu\nYtVVx8EDQBPu2DhCYzGTyQApQwY9gKISbXRSkVC5oWU1K+v+GbvBOkMwlpW76MkkcAwl0KGlZ8a6\ngryntojrGifpDeUYoYKY2oXi0LH2hjocBbFeaFB7wCpqWtEZZgf70b1+QkVeJoxWVpY4+dw6rbpD\nVVVO7RlmyB9HEOCDt7WSKksz9rXDtLy5g+H77mK3P8zRjIpnQymKSWJZsYPqQvfy+9fU8qX9nYyL\nCuMFwzVPNETAtBTPyhXIvScJP/kYSipF+R23UVK6sMHmcHk56YF+7dzvfg8lpU68D7yX3NlThI8e\ng9NHqN/3Sw43LuNgSOT+VfV4vU1A08wxVFVl4PBBJIuFts98gmAowxvPdyA3rYLRwyQ72vGULeOm\ntdX8/PUuDnYFee/WQtf5UILtva/TmhhARiC/dA1rP/1hcsUVdP39S7TVF9HSsDgBdXfvOJFMnp39\nASpOBsEg8vHPXTejc5tYH+OVp88QHI9Tu6n2EkeDgd4gP/zmXu66fzlrFrH95aCprYTO037UvDrj\ntL8QVFUlOJlgeaWbV0a0SMaaCjde74XTGRd771pCVW2MntEjKLG3fU6qqjLZtQ8EkbrWWzFazvF+\nq95ENjVFWfn50bhsuIrxaBdWUwJ70YVNY68EAj2jIIhU1vgQpYLmxbuMktIKxvpepaTmBix2OwZq\nCI+CWGwiffwo3t/5yNv63JJRI92hBILVgPcqGrYuBFVRmRiL4fZYqK2b38y5vVA97St1zrsHVpa7\neanXz+FogoOT2vg1mckt6j5ZUenj5JSmPSt1W2f28XrtONYuZwxQRoeuyHOw9Zxj/K9Pb+KzX36N\nXSfHee/2C9u2TB3VpsGaO2/BvsB5bL3VBz1nkV57DTvrcS+wzeTO3SiJBN6tNxLYtZv4jtdpuv/u\nBfWPuX07GP3Of2MsLcHb9ABjQxFcLst5lj4zsBqge4yQoix4nXa+2kUynEYRIdwe5CcjB0jENEPp\nrE0Hg1Ee/c5B3veRNTS1lnDswBD5nMLqjbW01Zfw9OAkw+kc/bkcI4kMFXYzlWULz0HvK3FQ53Xw\nneP9PNw9xm+1VXJLXcll6TzfyTHvkoSqo6PjcZ/PVzfnJaGjo2N66RMDnIADmLukmH79ogiFrq6i\nf125QGrPS3QHHHTpGqAhQMYwBbjJmyTSRpEdu/pZ7rWx1ldChjiTP/8ZybNnqH7vR6nYPU4uK1Oz\nqYabN9bwwuMnGR8IkWnuo0KsZlDx8ih3wXr47okBHmyuQFVV4qFBdMYiQhGlcCk0BM900t2yAoCl\ndguTk7PvrWn2MuSPs7rZi05VsLb4kEUJ72A7rvy9xBSZuFFCr9dTZzNxQ7GDwf3HSJ45TdF77sY+\nmmY4nOTDq9zw84eJYUcURXzb1nHmFz8mekoTw+pWrJv3uXOhKyuHUS0NJ6xYx+hYBL1OxHX/hwif\nOEn3f3wTKZ9n3dQI9ud28nrgZjbeun3eMTJDg2QmJrBv2EgwkkEVVAxGifG4SDVQHB3HsOlGblxe\nxrO7ennstU7WNBaRCCUZffgHtCYGCLor+alzM6taGlli9/LcL7tQVVjdVHzBcz8XI9EkLpOetrTI\nsAoVq8oQ9cLM/t5CRebJIyNUNxZd8ni7X+9CVVRefPIUTo8Zh+vK6ZBqGovoPO3nyP4B1l5fd8Ht\nejsmeemJ09QvK0Eo1fyGdOMJ/vPJN7j+5qbzmsp6vfZFX69rAcngJJ2cetvnlIp2k4qPYXEvI5rQ\nQ2L+8Qyu66lsXvi75xRtWBrseAWd8TA6oxu7d+MVF+YrSo5kbASDuYzgVBqYm8LQYy25k0QaEukY\n+UyhFUqth8TBLkbb+9F7PAsedzEoKehTusbCSIvQ111JhIIJ0qkc1Q3u865/h1+bIhyKOu+9Kr02\nDT3TrUVpbTqJsXiaUX/kkv0lS6QyBEH7vnIqx+RkbOa+V1U9ktNJtKPrqjwHElBbZqdrKMzQSAjT\nApFiOZUiuO8A+rIyUs4S0hc4j5oqM34lR7B3mHxV43nvDz/3EgDWW+8knUwTO3iAwd2HsPha520n\ndJ6i77vfAyDjn8DTHGEyL/GLHx9h250tiAtcT0VVMYoiA+HEedcpGk6x45VOVKNIcGMpW2MCZ46O\n4i2zs/a2RtImiWx3mP07+nj0ewe5+4MrOLS3H4CqehckMrgNOo75wxzxhzGIAreUn39vzEWVJPG7\nvkp+2DXKz86OMBCIc3etdyZNfDFcizHvYoTtrYjS5+Y97EAYiBb+Pvf1dxSNa9ZRlBmjJT9OKuhC\nzeuJmXtRRIFQsxOhV1sNPfp6N7m8jKqqRHfvIjPQT+q/v0axPcUZVFYsKcVk1nPnnfWU2wJIUpbV\nYoDafIRWoQe3mOdMOEFPNEkuNYGqZM5L9wEkhwbpbV6OXZWp7utAzc+KALetrmTjklLu36qFqUWj\nEbW2iZJsmOh3v83dP/wa73nie9wvZ/hMWzU1NjMTD/+Q4JO/ILpnN+ur3KTHk1h276J0fIgTlFBf\nYcdVU4muSBucDVXVGKurL3i9piv9TA0NfHPXBH/7vQPIioKhrIyi2++cOd/lYT8lEyNYn3qMfHx+\nWDZ+9AgAttVrAS2kXVrhIBrNkTY5qEhPUu80cebQMBvcFkoTOX749T089v0jHEtUMWgqgQ9/Btnq\noHMoTF5WePXwMCaDxHXLFhdRSOdlojmZSpsZ/aSmxdi6av7v4XSbcRdbGB4IXdIHKpPO0dcZQG+Q\nyOcUXn+u/bLLvC+GmoYiRFGgv/vi+pmeDk2X0HdqAkdKxqrAoafaCfjjHN7z9nQi1wI6gwtFTqHI\nb090GpvUVvyOkk2Xve+0wW461kM8cJDwyMvEJva8rfNZCNnkGKgKRuuFn7dpSAYXgqBD9BSsW47P\nVvu9lfuspKBPCb6Fyrm3i+l0X9kCbaZGExlEQavomotamwlDoTHxmmI7S4tsKMDEIty7q2wV6CVt\nIWE7JwIjCAKm+gbyoSny4aszHfmqXSiqSvfIwinK+JFDqLkcjk3XXZS0TxPohTR0uclJkmdPY25u\nwVBWjmv7LQCEX3913napnm46/+1rCAYjlX/yZ4gmE2UnnsdbaqXj5DgvPn6a3AKFQKIgUGo2EEhl\nyc9x2FcUlV2vdCHnFaaanFR7bGy9vYUHP7eJ939sNfUVLtqK7KzcUM0d71+Kqqi88POTjA6GqajW\numYIgkCT04IClJgM/MGSmkVpPiutJn5/STXlZgP7JyMcXEQK+N2At0Kojvp8vm2Fv+8EdgIHgC0+\nn8/k8/mcQBtw6sqc4luHuaoJPEacyQhOAeSpUpIOP8edU8jxLLlkjqV1bgKRNC8eGCI3OYkci6Ir\nLkaOx1h+8DHq8wEqvVbUfJ7J73wTn6x1ig93pvC2j7JNOsDdRdpE98zZPga+9SUAEjtOzOS8QXso\n+iQTaZOZ2994Ev83v050/76Z951WA79371LK5xjPlW/SetK1xQcQBImSiVGqB04AkB7on7FgCDz5\nOKtq7HiyYSzH9qDYHPRYyllSW4QgCFhatVWMY9PF/Zqm3caVjds41TvFWDDJiR7tAS+66x50RUUg\nSahjWhTLkE4x8ItfzDtG/OhhBJ0Oy7LZCsBpw9NBewMGQeLszn4O7x4g5U/gQkCXTWDORUkY3TxT\ncQvVVR6aq5xMhFO8cnCIdDzLSklicmRx/aMmCyXjZWYDw/0hHC4TTvf5EaX65mLkvHJJjUFP+ySy\nrLJ6Uw31LcWMDUU4eXjkovtcDowmPeXVTibGYiQuUIqtKApDvVNY7Uaq693Y9vtx7RzF4TBqxLDQ\n3+vdjCshTM9nwqSjXRgslTMFEZcDvclDWetnKW35HUpbPpaN4p8AACAASURBVImksxEefWPGz+pK\n4Vz91MUgCAI6UzGKPg0CxI9phCofjdL3519g8rFHL+uzSwoapXei0m/8AvopRVUZT2UoNRnQnRMl\n0YkiS902HHqJO6qKZwwfB0NjxAKHL/p5CgJ6fROKksJjmCWfqqoykQxgKgjT0/19b+n7pHq6CT79\nJLnAwoUMvkJUuGNw4Xs6VtA62TdenPxPL3rzCxCqyG6t+tO5ZSsApqZmjNXVxI8eIR+dHRNDL72A\nmstR8bnfx7p0Ge7b70SKBrnBNUx1vZuBniDPPHJ8Qff0MosBBW3s7D47wZMPH+W7/7aTgZ4pnBV2\nkqVm6gvVwXan6bxIV02Dh5vuaiWb0Qhby5zF762VHu6t9fK5JdUz1Z2LgdOg52Mt/z957xkf11mm\n/3/Pmd5nNKPRqDerWLLc7bjbaU5CCOkNQkINZanLb1lYWMruf9mFXWDJEjZAqIGEFFIIKSbFTlxj\nO66ymq3eyxRNr+f8X5yRZFmyLTt2koXrlT6aM2dOfZ77ue/rvi7lHW/2X3zO44XA+QRUXwK+XVNT\nsxvQAk+0trYOAfehBFevAl9rbW19x0d30WhEtukRJLjcHiXjz9qaWPsJdgZRGTR86oYFWI0antvd\nxVij0vXluPxKLHd/GI2U5urQPkRBYPSJR4kdb2OiiWhk1IzPpzxgTqmPJU4LI6KW9iolkEg09TPy\n8O+Q4kqGxLtrJ811S1m1/QXMx5W219jxM3eIWFeuwrigAdctt1H/gx+gsloJ7t6JlEwy/rpCY9PP\nqyITCCDu2cYN/r2o5Awt9VeQEjXUZXWn7FdsxrJiJbZ1G874e6b6BZT9+/doMU9xhF7PduKJOh1F\nf/9lCj75d8ROHIeCIoJWB+kd20hky4Sp0VESvb0Yauum+epN8JYGNHkcd61AlmHDVVXc+qElFPp2\ns77jUWrVCu/MKmrIyzFSnfXbemp7B24EpFia115snXWFdSomNG0MwRSpZIbSSuesq8OybCPB2TJD\nrY1KKaJmQR4brqpGb9Cw9/XOc1I4PxvOdizD/UES8TSl85xcc0sDCxbmUzXPxc0fWsairIhfW+Pc\nie3vBC5EQBX2KhOs2TXTAHuu0Brc6EzF6ExFOEtvACS83U+95czZBGRZIh5SiNCzZapng0afC3IG\nXU0p0dYWMtEo3qefJO33Mf76NqTk3LNNudmAxPcOBFTDA0HUGhGne3oWYjSeJCXJFJhm53TdXJ7H\nlxaWYdaoJwV4O4aa8Pc+RzoZJJmRZtUnavSFkdGQTLXyXJdSFpNlmd+1PM6393yPUaeyr/Mlpo88\n/Du8f3qazq9+mYEHfkLKP115vKrIjiBAa+/MZzrl9xNtaUY/rwptrnvG5ydD7VDG6pP1+iYQPvAm\nglaLOWv6LggClktWgyQRbVQU9uVMhmhzE7o8N8Z6ZQ5yXHkVKquV0MsvcsWlBVTVuxnuD/L07w7O\nkIyZ8P7sDMXYs62Dwb5xrHYD8xflY1jhAUGYDKhOh+r6PDZeU01xuYN586eah8waNavc9mlCnnOF\nTavBbdDSGYq94/6Uc8GczrC1tbWrtbV1VfbvttbW1o2tra2rW1tbP9La2prJ/v/nra2tK1pbW5e1\ntrb+8WIe9FwhCAJqs/KguIKdiOFcyGhQ5wwzjkxengWjXsMty3N5X/dL9LympP71lVUMRLsRC/WY\nvaN0/MMXCbz8EtqCAsQSM3I8gyO3kExGi6CykIoNc7nDgCqdYn/eSobx4Fj7HqRYjMEdO9g+6OMh\nfS6FfZ3UtBxCV1KCqNcTbz9xxuNXWSwUfeFL5Fz9HkStFtu6DUjRKMFdOwjt3YPa4aDwc19AZbHi\n/dPT5IaGaDaX8qzPjFYjUpFNu+tLSsn/xKdRmc9uMaLNdbO/dRRBgHynkSMdXnzZl0/r8ZCJRkGS\ncK5aReO6zQiSxMgjv0NKJQkfmij3LZ22z4mAKmVw4zMWkmdKUre4APHwLmp9rfTpc7HdeB0SkKsS\n0ahFqouyk29GJi/buBAOJji4u+es5zBRKkj0K7X0ksrZ+SjufAtGs5buE16k03REjfujDPUFKSy1\nY7bqMZq01C8pIJXM0HUBHOknUJb1kpzYZzKRprNtjEzWH6u7XRloSytzUKlENl5VPSn4Wlmbi1oj\n0nJ06IKWIi80JgKq+PgJgiN7CI7sPqcgRpbShL0HEVV6jI66C3JMemsFFvca0gkf40Nz04GS5Qxh\n72HGOv9IaHTftI7BZGyE4bZfEQ91oNG7UWvPSiUFpvSz9IvmQSaD/8XnGd+uLJqkWIzIkUNzPidj\nVpNp7G0W90zEFUFPt8cyI4MxoYBdcBpxXVEQ0IgispRGM/YyAhJeWQky/BE//3G4k/sae2gNRKY9\n43uzpaAcrY/t/bt5vW8Xjxx9hj2D+wE4nO3Ijh1vO+d3Iz0+TqK7C43Hg66oiPD+vYw99si0bQw6\nNSV5FjoHgiROWeyF9u5RTN5Xrznrb4kahe+V9k4fU9KBAMmBAQxV1Yi6qWtnalgEQOToYUDJwEmx\nGPbFiycXj6Jej+vGm5ETCQbv+z4bNxayaEURfm+UJx86MC2jXecwoxEFtvaOERqPU1Bi5/aPrmDT\nNTX0ZtJoRGGGdtRsqFtUwHtvX4TmAnqDVluNpGWZrjlIabzT+KsW9gQw2BXCsdbbz8qaPNLePNAk\nEO2jeLMTb/XAEeZF+7EOnACNBk1hEebkcVT1SiCQkSKIJhPue+9BMAlIQwkuW+3kjo+vQKvLJdU3\nSvypR3jPM79h5csv8Fx4FY+VLuKF6+/hIdlM+qf/w3VPPEj90b2onC4KP/f36MsrSQ4OkAnPvTXU\nul7JMI0+9gekWAzr2vWojCacN9yYPVkjL7lWIstQXWRHoz732zs2HqNjIMj8UgdXrSxBlmH7kam2\n4PBBJUNgWbqcvOXL6S+qINbcRMfX/4muP29BRsC8ePG0fer0atIqAVFQgSxRm2hVJo2XtiBrdDyR\nfxm72gOMI6PJyPi9UcryLWjUIhZASEtU1bkxWbQceqOHcf+ZX6zR7H0d6fSh1ogUlMw+qQmCQNk8\nJ/FYir3bOyeDqtB4nMN7e2k6NMCbO5Wy6oR1Aii2OgDHmy6cQKTVbiAn10R/l59oJMlzjx/hxScb\n2bddKVV0t3tRqYRJTZqTodWpqajOJRiIM9j77uUaqLLinmHvmwT6/0Kg/yUGm39CNNB82slOlmUy\nqQiyLBENtCClo5hyFiOKc1O9ngvs+ZtAUBEPdZ1122igmYGm+/H1PEM0cAx/3wv0N/6A/sb/pvfI\n9xhqeYBktB9jViJhrpiQTlCXKOOV7/k/gyyTe9sdAHMyzgXlesWHR3DqNAQSKTJvo3TChKBnXuGp\n+lMyO4YCaESBhTmnJ/RmUiGGT/yWpP8gDjGGV3Aiy3DIHyWekRiJJ/nN8QF+2daPL55iOJagOxyn\nymrkUw23YdaYeKztGZ5u3oLb4MKkMXI40o6+spJYWytjj/3hnIKqSDb7Y1u/kZJv/Atqp5NI41Hk\nzPTAqabYrvjcncKjCu3ZBSoVlmUzTd5ng8bpJOXzIZ+UiYm2KKbZxtrpCwhtQQHqnBwix44p2alj\nCsPGsWTRtO2s6zbguOpqUkNDDPzohyxvsLK03koklGR31kQZwKZVc1lBDsmgMnZOiFRHswbqxSY9\navHiOyrMhirbdK2ydzP+6gMqvT0fTCoMQT8L8y2kR4tAEtBVHqI33snxHh+hXTsAUMsZUgYzLVu3\no89XIReaQC9CUqbsO98lGNhJatsoqa2jjPzipwTu+3fGv/8KyScGCO/ag3NsmLKOFi7bt4W+eIqR\n3Hwuf/EJCvuUSdF+xWbKvvFt1HY7+nmK1MCZUtG+YJyv/HQ3+1uUiVub68ZYV4+cTIIgYFu3HgBb\n9qUpuPeT6HOUSauu7Oyda7Nhf4vCFVhe62blfDd6rYrXDw8gSTJSPE608SjagkK0Hg9Lc61su/Im\nOmpXkPJ6MUV89OtdNI1NV9xt7PQRyGZaStJ9aLuOEXxjD5lAAMu69aQ0evYcG8aftTntaB1FrRLZ\nvKKYeodSOqhbXMCay+aRycjsfOXMmb2ReBJLUsY3EqGw1HFGaY7Fl5Rgsek5uLuH5x8/wo6XjvPw\nz95g16vtvPZiG62Nw2i0KipO0r9yuEy43GZ6O3xndXM/F5RXuchkZJ787QGG+oIIAhx6o5eO1lF8\noxEKSh2nbX2uXagEfK1Hz172CyTG6Q3NFFW92NAa8rF61mPNW4+z7Gasng1k0lHGOh/H3/v8rJNd\nxHuA/sbv03f4P/D1/hkAs2vZBT0uQVSjNXhIxYaRpNPfz0wqwljnH8mkQphdK/DUfBx74WaFyyUI\nqDVWdOYycivuwFV20zR9rLNBa1DoCPHUCdTFSrbKtHARjs1XoysuJnL0CJlwGCmRYOiXPyew9dVZ\n9xPev4837/0U1qAfCQgkL9zzKcsyUub0TI7T6U8d8gYZT6VZmWvDdJrnNxHuYaj1QZKRPoyOBRTb\n3aRkkXHMHBkHtSBwb20R1TYj7cEY9x3r5qlOZVxckWvDaXBwb8M9qAQRh97GZxZ/jAXO+YwnQ0gf\nvBltfgH+l7Yw+ugjcw6qoo0KX9XUsBBBEDA1LEKKxYidUlmY5FGdVPZL9PWS6O3FtHDRnCoDkOVR\nZTJkTuJFRZsVGopx/vSASjmehUjRCPGODiLHGpU5oaFhxnauW27Hum49ie4uuv7py9ifuQ9rfJT2\n1lGG+qaCwLV5dhwp5dqIZqVUOpEVOlu572KizGJALQgc/z9gnPxXH1CZcooR83SoEinSfcNUWkso\nPb4MQQBt1QEe2v4XMsEg2qoa5QuhIPKxvyCoBETTArQLC5BjKUae+yWh3+4mcywE0QzJ/j6SQ0No\nijyoGqyoFtnRXJuP4NLiaTrGF/VxPt11ENu4wonRufPIvf1OVCZlkDVUKq2xsfbjpz32QyfGGPHH\n+MOrxyctDmwbNwFgrKtH48oKAqpU5N56B+aGhayodSMI0FAx94CqbyRMa4+fjCSxr2UEURBYWp2L\nXqtmVb0HfyjB0Q6vsjpLpzEvVSa0PIMOISDzWHo+vy2/Hl/1Mna6l/G/Tx+ja2hqUHh+dzcjyBSU\nO1iQn0aKxxl74jHF1+qqq6jOrvACgCAoARXA9WvLUEWTmK068ottVNbmkldgpfuEl+hprFqSmQwh\nbxRHr5L5Kz2LJILNYeCWDy2jtDKH3k4/R9/sx2TWseGqai67tpZVmyq4+qYFaLTTJ4J59W4kSZ48\n1guBsiql7Bcaj1NamcO1ty1EluGlZ5RVakmFg5Ho2KwTQkGJHYtNT3vrKNIsXANJljgwcoT7D/2C\nr+/8Dt/d9yOGIhcmwybLMp1tY2fllAmCgD3/UuwFl2Jy1GPP30R+7SfRGDyEvW8SHN4x4zsT3ndq\nfS4gY3QsQKM/f0mB00ExV5ZIxU4fkEYDxwAJe8Hl5BRfg9aYj9W9Ck/NRyms/zz58z9JXtXdGGyn\n1yQ6HdQ6B7b8S8mkxtG8x4noNpN7250AWFatgUyG0N49DP7sfwnu2sno438gE5rZHj5RAtI1K8HA\n6Yjp3niSfz/UQaNv7i3mweEd9B35T4Ijb8z6+dAsnqaSLPPaoB+VAOs8M7Or6YSfsc4/Mnz812RS\nIewFV+AsvZECozKBt0iVeNNq5ttNlFkM3FNVwG0VeYiCQE8kjkWjYn5WGqLSXsbXLvl7/vOqr+E0\n5LDQpQQhjcleiv7fP6LNLyDw8l8Y3/rKWc9VzmSIHGtEneNEm68Qo00NiuRN5OiRadtWF9sRmE5M\nn8go9rhrZrXYmg2anOmdfrIsE21uQjSa0JWUzNh+ouwX3LuHeGcH+opK1OaZQbwgCOR98EPkvPc6\nzMuWk3PVNcxPK/PO688emRxP1KJIrVrJ/DamEqQkic53QUClEUXKLQaGY0mCZ7HHeafxVx9QGdwe\nBKvykAzvP0JJUsIy7mZp+HJEVIy5DzOgd2DMyglo5AymfGVCyq9ahWPT1QCE/3IA2ZfCvEqxuTCv\nWMm8n/yMoi9/Cc0GF5p1OahKDVivXw2CQOh3vya67RXIKq7b1q6bRozWV2QDqhOnz7a0ZVc8vmCC\nHUeUjIJ5yTJct96O+87Zxf9u2lDBv370Egpz57YqausN8K+/3c93Hz7IF/9nJ52DQeaX2rFmzZhX\nZw18Gzt8hPYrHY7mpcuIpKIk0kkC3UEElcDKG1aw6suf5do7LieZyvDDxw7zZusIJ/rHae0NUF6R\nw/W3L8JWpchCZEJBzMtWoHHl0lChDCQZwF1kY2w4THe7l862MZKJDFV1irCbIAiU1yir977umSTQ\nRDzFww+8geeNEeSuIKJKoPQ0/KmToTdouOaWBtZvrmLjNdXcee9K6pcUUNPgYcmqEorKZk4EVfOz\nZb9zMDY+G3I9Flx5ZorLHWy+oZ7i8hzqlhRMliJbDYf49p7v8ebwTD6NIAjkF9tIJTOTlkugDMqH\nRxv5zt4f8ovG39Hka8WhtyMjc3Ss6YIcd0frKC8+2ciLTzZOcr6AaX+fDhq9E3fl+1FpbIwPbiXi\nm2oOljIJEpEetIZ88ms/TtHCr+Aqu+mCHPOp0GXlFM7U7RfxHQUETI76i3IMNs967AWXI6tTGN4/\nD3WushiwrFwFgsDoY38gcvgQKrMFOZkk8NrWye9m0lGkdJxYm9LoYhpSxovTmSS/ORYklMrMedUv\nyzIR7yFAJtC/BV/fi8jy1P1NpzMM949jtSs8wwk0+sJ4EymWuqwzFP1j48cZaP4J0cAxtMYC3FUf\nwpqnyAtMqKkflZWF7lKXEqQJgsBip5XPLyhhucvKdSW5qE4qRbmNuVj1SlmxNqcataDiyFgTapuN\noi/9A6LRyNhTfyQdmE4uB5AlaZL8H+/oQIpGJ7NTAMba+Qhq9WTmagImvYZit5n2gSDhWApZkvDv\n2klC1PLL4yK/3dI6GbQM+aI8sa2d6Cz35dROv9TICGmfF2NtLcIs+lETxzP++jaQJIx1p38uBZUK\n1w03U/Cpz5B76+3U3fsB8iJdeMcztOydKv2pI0rAMiBK/P7EIO3BKCpBoPhtFog9FZNlv3d5luqv\nPqDS5eWCRnkhCtRjhLJGkStL6lhgqEdQZdhVX0tqVFmtD5pNjBTryUg6tMYCrFVrUJUoL6jlqlV4\nPvwJBK2W1PCwQnrXOVEHckjv92MTriBv9YexX7GZtNeLnE6Te+vt2DZuwrbp0mnHpTKa0BYUEu/s\nmFGTB2UAO943jkmvRqsW+fPublJpCUEUybnqGsUqZhZo1CoKXHMrNfSNhLnviSNIkszqes/kwLS2\nYWrfZR4LKlFgrLOH8Jv70RYW0WNO8dUd/8rfv/51EuVb0Ncc40Q6jiTLLK3O5e6ra4jG09z/VCM/\nfEyZ/K/NqosbKqZE6xyblWB1YTboUatE6rM2DM8/fpSXs157VXVTitdFWQ5R3yxSB90nvMRCSeIO\nLYWri/i7f7wUs3VuA4EgCCxYWkjdogJUc+hGMVv1FBTbGOgdv2Amy4IgcMuHlnHtbQsnTU5Xb6rA\n5jCQrBpi2/B2ABq9s5ujOrK8h8BJZqh/6niRnx39LUOREVZ5lvPPl3yJLy//LAICx06zn3NFT9Yr\nrK/Lz7YXWkkl0+x69QQPfn87h/f2nvX7Ko2Z3Mo7EUQd3p5nSCWU/cVDnSBL6G1KefxCi2+ejAkJ\nhmR09lJoKuEjGe1HbylDpbl4SszWvLWYXcvJpIIkIsq10zgcGGpqkdNpdMXFlHzzXxANBgJbX0FK\npUhEBxho+jH9jT9EKk5iqa/FllCegbHwzAlIlmWO+pQM7ukCrlORio+STvrRmcvQ6N2ER/fi7//L\n5OftLaMkExkqapSsuT+R4qU+L3/qGUUANpySnUpE+hnregIBAWfpjeRVfxS9eSoL48ku6DKoMAoJ\n5mUn1AnYtBpuKs9jwRk4WXq1jmrHPPrDg3hjftR2B66bb0WKxRj5w3RyeXJoiO5v/TOd//gl4p0d\nRE4q901A1Okw1NSS6O2d0e23oMKJlE7z/36yk0d/+SIEx2kxl+JwmNjVOMS2QwN0D4X499+9yfN7\nunlpf9+M49U4lQA65VUCqkn+1PzZGzBEvR5DVQ1k5w9T/YLTXosZ16aklJXryhClDPu3TlVJ/N4o\nKrVIZZ6FtvEoQ7EkRSbdWQVWLzameFTvbvmEC0fFf5dC73YjJyUQITczyk13L2Gwd5yaBR6SL6Y4\naoYeR4zornbULhd/vtxENBXjVl0Z5YIACHju/QTRgVZcS25EEES0eR6SQ4PIkhLgJLcNkRkOYblb\nKYW5rr+ReEc7upJSHJdfefpjq6wkOdBPor9vmgM5wNh4HH8owbKaXHJtBl7c28Prhwe4fNlUG/bz\ne7rZfniAr929HLPh3Ei6/Xv24/vVz7HkX8EHblnP6gUeJEnGF4rjPCkI0ahVFOaaKD66BWQZ0zVX\n8fPmR5GRyREL8QqjYO5hKHyQjlA+86xGNi4upKbEwcMvt9HY4WNeoW1SBkFbWJhNo+djqFCyVflO\nI2UeCxajlpoFHgxGDd0nvPR2+XE4jTjdU9k2V54ZvUFDX7cfWZanTbITE3ug2s78xfk4nKaLqppb\nVZ/HQO84W546xsoN5RSVOd7ypH/q97U6NbXvM7Kr+SAWjRlJlmjzt884d5gKqPzeKGVVkM6k2dG/\nB6vWwueXfAKPaap1u9RaTPt4F9FUDKPmraXz+7sDaHVq7DkG2hqH6To+NqlHs3d7J5Xz3ZgtZ7b2\n1Brc5BS/B2/3U4RG3iCn+BpiQSV7a7BWvaXjmwvUuhxElZ7kaTJUUb+SOTM6Gmb9/EJCb60kPLaf\nZKQPg1VZgDjfdwMBoxH3++9CbXdgW7cB/0tbCOx/mYjpCHImiSCr0KxxIkkiBSHl3eocGuHP6WF6\nIymuKc2nzFnMQDQxWQqcq1ZVbFwJvs3OJRhsVQy1/JzI2AHs+ZsQVXqOHVQC0folBXSFYjzY0ocE\n6ETYnKfGeZKHZCrhY7TjEWQpjav8Voz22hm/Z9aosWrUBFNpqsReVMLcg4WT0eCqo8nXSqO3mY1F\na7Ct30hw5w7C+/cS2r8CfeU84h3tDP/6F0ixGAgCvf/1PVRGo6KnVzt/2v5MDYuIHmskevQItg0b\nJ/+/MXSMho6n6bUWIXcpWa6666/kssUL+fav9/HwS21oNSLxRAaVKLC3eZj3rS2b9g5PZaiUcSza\nfOaASjmehUSbjyEaDJPehXNF4eaNuA4+zQgOAj1D2IrzCPii2BwGbqoq4PcnBmkbj1JhMZ59ZxcZ\nbr0Wq0bN8fEoaUl+xwjyZ8NffYZKZTIhRETEMiPpoTEsoUEWX1KCmIxheXU/2rhIUaYPORohWZxH\nVKXUjJ8aPcFxv0IYN3kWkLv0ZgRBuVza/ALkZJK0z0tyeIhkfx+G2vmTba2iXk/JV79O3gfO3OVj\nqFQmitnkEybKfdVFdq5eVYJOo+K53V2TXKp0RmLL3h6G/TF2ncWc81SMBGK0P/I4+kyCWyzDrM6K\nsImigMtmmDFR11oy1AU7ENwe/mg4TiAxznvLN2PoXUeicR16lYF44iA7B6cmI0+OkS/euoiv372c\nz9zcMLlPQRQp+5d/o+Azn5vcVhAE/umDy/j8LcpqsKTCyfrN1bz/3ku45uaZJMuiMjuRUHJaJkaS\nZHo6fAgGNSmTmty3wQS4uj6PippcRgZD/PnRI/z50SOkLnCNP5FJ8sjxJ9CIaj616MPU5MxjPBlk\nJDZTssGeFYWduC5HR1qIpmMscy+aFkwB1DtrkGSJFv/pOXxzQTAQIzQep7DUzjW3NGC160mnJJau\nLmHdlfNIpyTeeG1uGkBGRz0qjY2I7xCZdIx48DiiynBeAp7nCkEQ0BoLSSf9ZNLTszqyLBPxNSII\naoz2+afZw4XDZPkxOvU+GatrKPj0Z1HbJ7TlrkRw6wip9iJnkjhLb0DT7CF9KEBGTCLYutDJCYa0\nJnYFzfRmHDzVM07mpOyUWhAYT6bnpO8TC7QCIgZrFaJKj8m5BFlOE/EfY2w4xHB/kJKKHKx2A8f8\nYSTgcreau8QnKPf+nlhQKSulk+OMnPgdUjqKo/iaWYOpCRRmFd+rOI6UOT/V9waXcr+OjCpcPEEU\nyfvgPSCKDD5wP53/8EUG//fHyOk0no/dS/4nPw2ZNGm/D0NVDaJ+eoZ7Nh5VcniYwHN/QhAFSsZ7\nKI0NIdpzqFu/HKdNzyeur0eSZRJJiY+/r44lVS4GvVF6R6Z3eJ/MoZIliWhLM2qHA03e6R0iTAsX\ngSBgrF+AoDo3X1xBECgoVRa6nbuOEgklSKckHE4jGlHkA/PyuanMzVqP/Sx7uvgQBIEFOWZiGYnm\nwLvXNPmvPqASBAEVFtSLlYfCv+UFAMae+iNyOMz1RzLcsk2ZnA45FFLlJqMRCZmfHv3NrMRdbb5S\nlkoODTK+XdGumYvWyKkwZDv9IkePEG1pniR9w0kBVbHCZ9q0pIBAOMm+FoWz09jpIxRVVpdbDw3M\nuXNlxB/lFw++hCei7Mfe2zpryfFk1HbvQ0Smub6Mo94Wqh3zWOlaQ3v/OFX5bq6vvBpIcWjkNSIn\nETAFQaCiwDrJx5qAqNcjaqb/T60SEee46ijKdjD2dU2l3UcGFeHLTK4BrUqcwde4GFBrVFx1Yz23\nfGgZRWUO+rr8bHm6aU7cobnijcH9RNMxLi/ZSKm1mGqHkrFo87fP2NZq1yOKAv5sQLWrR5G4WJq3\naMa2C5zKRNM41vyWjq+vW7kHhaV2jCYtt354OR/41Cou2VhB/ZJCXG4zbY3DDA9MNSmkUhlaG4d4\nc1f3tHJpLJpG0C9EllL4+14kkwqht1ZOLmT27eii8SSFellWrDF2b515Lc4HWlO27HdKlioVGyKd\nGMNgq0ZUnTnTdiGg0phRae0kI/2nf6+NMrobikAFLwqvOwAAIABJREFUZtVSTDkNxFtOkNkfoWHd\nV7B6NrBMaGJeppNrNd1UC52MpnW8MTLOUV8InSiyIEfJ/M4mABr2HmS47dekUyHSyXGSsUH0ljJE\ntRJgmHIWAgIR78Fp2SmAwajSMFIRfBYNaRAExjofJzreysjx35JJBrDlb8JyFnHW9xS7uN7Wh0sI\nkEnNzSXhVDj0dsqtpbT6T+CNKZkfXXEJefd8BPPKS0gvqqW/Lg8+82Gsq9ZgWbaCgs99EXVODtb1\n62fsT5uXhyYvj0jTsUmV8tFHH0ZOp8n/2Cco/da/knPtdeR/+COTvKf6shy+dPtivnrXUlbVebgk\nS2HY2zx9bhHNZgStlmRvL0O//DlSOIyxtu6MWW+tx0PRP3wF9513ndf1KV+hBLR9XT4CPiWZYM9R\nMlIaUWR5rg3jGbqk306szFXkOPa+i21o/uoDKgC12YlgUyPmG4gcOUxo317GX9sKKhUFJ0YZN6t4\nankx2z0J8lVa3rfgo9xZczOxdIzX+mb6fE0EVInePoK7diAaTZOdb+cCTZ4H0WwmcuQwff/1Xfr/\n+/v4XnwegLa+cfRaFcXZctfly4oQBHhpfx+yLLMrq4pdkmdm2BeluXsmyfJUyLLMj544QuWAsrrS\nFhSQCYeItpx+Uk2NjmJsPcSYxsbruaNoVVruqbudxnYfMrB4not1hZdg17lJptrY0jM70TklSRfM\nW2yCJN57UkDVkxW+DNi15Oq1F5VvcypyPRbec2sDJRU59Hb4eP3FcxcRnA2SLLG1dwdqQcWGIsU2\nqNquBFTHZwmoVCoRm8OA3xshmUmxr/8wDp2dMutMP7kiSwFWrYUmbyuSfP4BYH+XEvhPcNu0OvVk\neU8UBdZeoSwaXv5TEy8/28Rfnj7Gb/5nF6/+uYW9r3fy+wfeYOvzLTz/xFEeun83zz2dAUFD1K9o\nABmsyvfDoQT7d3Sx4+XjjA4pZdyu416OvtnP4b29JOJTmcFIOIFv7Ny5FhOZoQke1URmaqRd4du8\nHeW+k49FysRIJ2e+1+lEgJH234FGJr1tjODjOxUByMEBDPOq0Bod2PM3campnnUPPkxV0yDrjf1o\nSfJC7yj+ZJr5DtOkp57vFB6VLGcY6dzOYF+A0RO/J+JTOgcNtqls0vHmCL3DCxnojdB2bAizVUdJ\npRNZlhmMJrCJMVTpAPaCy3GV3YQsJRnreJR00o/VswGb58yuDQBOvZZaqzKZp5PnP4muL1yFjMz2\n/imrr+DCCh5ZJnN/vY8nFsv8zLuF4ajSsWuqq6fiez/AunJ2uxjrqjXIiTjd3/4GY888ReTIYQy1\n8zEvX4GuqBjXjTfP4DPVleVQmdXnaqhwoteq2Ns8PG2cEAQBdU4OqbFRQnt2o3Hl4rjq6rOen7G6\nBrVtbgKyp8Jd4UFDGm/KgLdXSSxMaFC92+A2aCmzGGgPxhh7B3wq54K/iYBK68wl/WYA1WKlU2T4\nod8oH2Qy2K7czB/f66GnWllVDXbUs69DzYq8xYiCSG9oJqdioo028OrLZIJBrKvXzMi4zAWCIOC5\n58PYL7uCnOuuRzSaCLz8EgF/iGFflHmFtsmsjctmYGlVLt1DIQ63ezl0fIwCl4m7rlS6YLYdPLsX\n2eh4HN+In4ZwFxpXLu73KyXJie692eB9/lmQJN7w1BJTh6hxVGLX2TiUVfReUuVCFETurL0BgFd7\nHufw6FSJJ5rOsHXAx/cOd/GDo930hOeudrt/dJydQzMnFItN8eYb6AlMZoN6OnwIokDUocV9Dn5R\nFwoqlcjmG+rI9ZhpOTpE06G3rvN0zNvCSGyM5Z4lWLUK+dZtzMWmtUzyqE6F3WkkmchweOAY0VSM\npe6FiMLM11wUROqcNYRS4Vmf8blAlmX6u/0YzdrTDsIFJXaq6twEA3GOHxuhvWUUrU7NsjWlbLiq\nGotNT8uRIbpPeDFbdaTTakLR8snv6y1KANnTPtFKDq9vaSOVTE/qkckyDPRMPSfPP3aUn37/Nfze\ncwuqtCeV2tIJPyMnHsLb/SRyJo4t/9LzkkM4XygyDjOzZcnYCMMnfpuVGLgSs3sZycEBhn7xM2DK\njxOUiVY0mggfOojd7GaFeIRM9pFpyDHj1Cm8ywkelZxOM/r4o4yf2MGhwwXs3rsY72iY8cFtyr6z\n53+8aZhtL7Ry5JCNN/YvIp2SqVtcQCblp6/vNWIZCac8isE+H4t7NUb7fBxF1wAiVs96bJ4p7tHZ\noNJkxZXfQkC11L0Qs8bErsG9pDIp/PEA9x38KR3jXSzKXcD1FdcQTcd44PCviKTO3kWWc+11uG69\nnUw4hO/ZZ0AUcd9515wXcVqNiiVVuYyNx+kYmJ55c157Hda16yn60pcp+8530RWd3Vz7rUAUBdx2\nkZjGSvcxpQkive05+v77+0ipmUFLamyUjq/8P4JvzE1o9kLjkmyWasIseSAS5/meUR5o7uXbb7az\nvffCuVecD/4mAiqNy0XmaBBNWQGCTYMUVQZa+5VX4b7tTqqywms6jBDw8KvnmxnxJcg35dEfHpix\ngte480AQSPuVrMjJ5MQz4YU93Ww7NH2ANC9Zhvv9dxFddQXNefVkwiG6XlBcxKuKp2rXcibDFYsU\nHswv/txEOiOxZoGHykIrRblmDh4fI3CSNlMmHKb7X75J90O/n/xfR/84C4PtqKQ0tksvw1Bdg8pm\nJ3zgzclS48lIjY0S3LUTTZ6HsXolA1FtryKRynCs00e+00heNj28wDmP9UXXIssJft74IEdHW2jy\nh/mvI1281O8lKUnIwP7RuaXu45kMf+oe5bnesVlXI0VlDlLJDCODIaKRJKNDIaweM7JaxHMae4uL\nDY1WzdU3KSvTzra3/mK/2qvoMl1WPFV6EASBKkcloVSYwch0yYZn2l9gp/15go4h9g0q3ZXLsuW+\nVCpD06EBgoGpgPatlv18YxFi0RSFpfYzTiaXXzefez67hg9+ehUf+OQl3PWpVazcUE79kgLu+PhK\nrrtjIbd9ZDl3fHwlOr2aY00uQEBrKpoUx+zOehwWZE2kn/79oUmLDJjKVvq9EcZGwqSSGV5+pplM\neu7ZN5XGhEprJxHuZrDlARLhLvTWKvLnfwqbZ/3bmvXUmWbyqKKBZobbfqGUzDwbseatxnnDTYhG\n4ySB2VBdM7m9oFZjWrSItM+HGNdRL5zAo01j0aioNGjQtSrfmQioIk3H8G95gdH2PYyMKXyeYa9C\niNYaC1BrrYRDCV7fchy1RmTD5nmUlw1TWDBGruUVBpt+TNeIEuTmmyw4S66fvGaW3BUULfpH7PmX\nntN1nLDuSZ9nyQ9Ao9KwOn8FkVSU/SOHeaj5MaLpGLdV38C9DXezuexSNpdeykhsjF8de/is+5vo\ntC7+8lfRlZTiuuEmdIWF53RMl2TdFt5onv4OW1evxfPhj2KcXzerVMLFQPF8pdGpP5C9L4d2EW08\nyugpnZAAvi0vkh4bI7Tv9Ivwi4l6hwmjWsWbY0Fe6B3l/qZedgwH6AvHceo15M/BHudi4m8moEIG\nTa8d1RLlBTWvXEHubXcgZ+LUCEogck3lJj7+3gZk4NldXRSbC0lKKYYjI6RP4sWIGg2arNmlvqIS\nXaHyQB5p9/Ifvz8w6X13MrqGgjy+rZ3fbWljyDe1CuoO9rK3p5kfPHqILXIpKUFFcvsrCLJEddFU\nGnfolw+i+uE3WaYPEomnEYBVdXkIgsClSwvJSDL/9tv9fP3BN/je79+k/8Gfk+jpZvC5F5BSyoDZ\n3j/O0mArqDXY1q5HEEUsy1cgRSKzlv18zz8HmQzO916H6FCCR6tUyMv7e0mmJZbV5E7b/o7qjdS7\nr0OWZR44+mt+09ZCRpa5usjJVxeVY9eqOeoLk5wDx6jJHyGdzcDsHp65Op0o+738pyZe36Jo76g9\nyuSb/w4FVKDIKdhzDAwPBE/rDzgX9IUGaPOfoMYxj0LzdImMSR5VYKrs5435ebnnNXyM0VN1gGPh\nJtwmJyWWIno6vDz64D5ee7GNl5+dsnmpzZmHgMDxwPkZx55a7jsdBEHAaNJituqx2g3TuHKiKFBU\nloPTbUalEimvduEdU6Oy3ZQ1LoZ0KkNftx+708iV19eh1akYGw5jMmu5+qZ6tDoVfZ1KQNXRqgSy\nOS4TYyNh9mw7t3PTGQuRpRSCoMZZehO5FXeg1p35/C4GtIZ8EESSEaW9Pjz2JmOdjwPgKrsFW76y\niFNbrDjfp1wnQa1GX14+bT/mxUsASLWNIAoyt1iO8+nSHIZ+8J8kf/sLYKrkF21uQrCpGYg7kWXl\nHvX12TC5Vin6WLLM1udaSCbSrLlsHvVLi7hknYPFDU2Q7kdvqSRmV7ikFZ46RNUp3MnzsAtSZQOq\nt5KhAqXsJyDwWNvTtPpP0OCaz4bC1ZOfX1dxFeXWUpp9bURTc8uiGyrnUfqNb5Pznvee8/HUleVg\n0qs52HbhhIHPF8W1E00fArp0BEtNFbriYsZf2zotE5UJhwnuVKRb4l2d78CRKuKjy1xWommJ7UMB\nHDoNH6zK5xtLK/lMfQnzcuamv3ix8DcRUKmdihjk+HPbkMNptB8sRv+eKgRBIBY8TplG5IuVl3J5\nyQYWzXNSmmdhX/MIFlH53oOv7OHvf7yTE1mvJkmW2eZcwi+L38vAqvncf+gXvDH4Jq8d6qetN8BD\nJwm5TeDZnV2T333ydWWQH0+E+O8DP+U3J35F1N7MNZfXM1rWgD0VZkGsl4oJU2Gfl9DePUjxOJe3\nPk9BbJT5ZQ5ysvIGq+ryKHGbiSczeINxLEd3E288jKBWk4nFJn2eQs3NOFIhzMtXTNohWJYrQqVj\nTz5B//330fvd7+B74TniPd2M79yOxp2HcfkKQuIgUtzAiY4Uz+7swmrUcPXKmeq9H6ldjcu8CZBQ\nZZr51PxiNuTnoFerWOy0kJAkmubQpXHQq6xIDSqRA2NB4qcQ58uqXCxcXkQ8lprMBkVylAE83/DO\nBVQAnkIbyUQG/3nweCZweFS5ZycP+hOotiu8opN5VFv7tiPJEhtdG7D6FNLrpeVrOLinh+ceO0o4\nGMdi0zPcH5z0+zOoDeQanfSFB8+J8+X3Rmg5MkhL1uNxNn/B80VlrbJQ6TihRaNTmg/6ewKkUxKl\nlU6MZh2rL1UCyrVXzEOn11BY4mDcHyMYiNHRMoooCtzz6TXYnUaO7O+jdxbNstPBlr8Rq2cD+fM/\nhSlnwdualToZE3Y4ydgQydgI/r4tiCoDedUfnWEMbd+kZJstK1fNoB6Y6hsUMcp9TQiiDjncie97\n3yHefgJNKokhHsWbUDLA0aZjqOqt9A/kIQgy5dUuopEUkdRy9JZyjr7ZT1+Xn5LKHOoWK0G+reBS\nXOW3U9jwJdzzPsBY1tD4Qi1q1NmS31vhUAE4DTkscNWSzCSxaMx8oPbWafdWFETKbEp5bSQ2FeTI\nUnpG1+eFgFolUllowxtMEIy8s3wgp9uEVqW8/2ZVksLPfI78T/wdol7P8G9/TaJXKQUGXtuKnEwq\n80ogMKs46tuB1W4bHoOWdXl2Pldfwny7Ge0ctAPfDrw7juIiQ+NSAiNkGU0gB43TSWRsP+lkkGhA\nycyU5q1AFEQEQeB968qQgeNtykPWGx4gHEvx/T8c4liXjwefbWI7VgINnTzEXpp8rWzpfpXjWV+k\nw+1e9rVMdXD0DIc4eHyMygIr5flW9reM0DEQ5LHmP5OUksgZFZqiE4xYd7HyI7eCIPBe6cSk1sb4\n9tdBlrGsWImYSfOBkVe5pWZqwDLo1HzrIyv5ny9s4J+vyGXT2AHiWiP5n/g0AKE395FMZXB3K0Rf\n+/opQqi+shKNK5dETzeRgweIHW9j7I+P0/Mv34RMhpxrr6MnOkBKTiAFXfxlbx/JtMTtl1Vh1M9c\ncerVKj61YANGtZVYshWrZiobNaF2fHDszNpQ48k0HcEYJWY96zwOEpLEgVO+M0F4vvvv1rDuynms\nuaySYZWMTaM+rV/Y24W8IuU8h/rPv0zRE1IyE5X28hmfuQw55OgdNHlb6Q0NEE1F2TmwF7vOxnXV\nV1ByYhmbxm7imvLLObC7B6NJyy0fWs6V1ysT8YHd3ZP7KjIXEEvH8MXnNjge2dfHH36+j63Pt+Id\njZDrsWCxXbg0e2GpHb1BTUfr6GSGrzvLnyqbp5Sh6hYX8JEvrJ0MvorKlUn82MEBxkbCFJU7sNj0\nXHGdUtLcvXV2vtls0Ohd2PM3odK8sytdyHK6ZInR9oeR5TSO4vegNbhnbCeo1RR/+at4PvKxGZ+J\nej3GunqS/X3Io0kymXFSwTFyrr0Oy8pLsPi9+BNp4gE/yaF+YqUexoMWXKoQ85crZazWxiFGh0Ls\n3tqO3qBh0zU1k8GIKGow2mtQqZXS/1Asgf4CdtkKohpRbTrvLr+Tsbn0Muw6G3fX3Y5FO/P+ug1K\nxn04MhVQjXU/xcCx+95yQDcbyjwKL7Jr6OJp5c0FgiBQWK68W3kLqxH1BrQeD3kf+ghyIkHv975D\n5FgjgVdfRjQYsF+xGYB4V9c7crx2nYbPLSjlPSW575pAagLvrqO5SFAZTYhGI6hU5N31YWz5G5Hl\nNIGBV4gH21HrXWj0rsntF89zUZJnprklgyyDJSfKve+rI52R+P4fDrGnaRjzvDZU9lGsUj6llmKG\no6NEMkGqimxo1CIPv9RGOGuc++ddXQC8b105t2VX1z9/eTcHvQeRomY26N5PubWE/cOHeNT3GpZL\nViEP9RPY+gpyJsP49tcQDQbyPvRRPB+7F1UqgeqVZ2ecp5zJkHzyEVRI/Cl3LdQuQJfrInLoIF0d\ng9SEuoibHdN5FqJI8Ve+RvE/fYOKH95H5X33k3vbnWhy3ehKy7CuWk2zVympiRFlMK8ptrOqPm/G\n70/AYzRwZelaklKS3YP7Jv/v0mspMek5EYwyfope00gsyWhMWakd8YaUDkKnhRW5VtSCwO7hANJJ\nk+J4IsSPDz1Id6yLhmVFVC7JJ5iW3tFy3wQ82W6eof7zG4RlWaY71IdDZ5914BcEgRvnXUtKSvOT\nw7/gmY4XSWaSXFq8DoNej8miIzYqcXhfH6lkhoblhbjyzOQVWCkstdPb6Z/slCs2K5NmX/jsJPqB\n3gC7Xj2B0aRl/eYqbrp7KTfeteS8zvF0UMp+uUQjSQZ7A8q1OOFFq1PjKZryiNOdFMwXZwOqI/uy\nQWi2FJ3rsVBV78Y7EpksBf5fwgSPKpMKYrTXnbflzUQHcjqbqcv92O24brwZ8+KlWIJKt+5Qaxui\nR0e/V9E8Cpky/HpkDItDT2fbGH95+hhSRuby62oxmafeMVmSyESVDE4yI+GNp8g36i5oZk+ttZFO\njr/lztkKWyn/tvZr1DlrZv08z6g8NxMab8nYMLFAM7KUJDCwddbvvBWUZgOq7qG3Hiy+VRRlA6oc\nzxTNxLJ8JZ6P3ouUTNL/w/8iMz6ObcPGSbHTeNf5UQX+mvE3EVAB5N3zEfI/8Wl0RcWYchah1rmI\n+o8iy2mMtunicoIgcMO6CpDUqNNmBGOQS+bn8dmbG9BpVCyqsiPaRpHjJoTOVaz0LAVAtI2xut7D\n9evKCUZTfPtX+/jR44fZ3zpKeb6FBeU51JQ4aKjMwW85iCDAlYWbuWNDA59f8gnKraXsHz5E85pS\nRKOJsSefILDtVTKBAJZVaxB1OqwrV2GonU+spZlE/3T7gsBrW0n29TJetYQOQz6HT3hxrlmNFIsR\neex3aOQM8qIVMwY7td2OoaICtcWKymjCsfkqyv/9e5T+87cQVCqafW2IgkiFpRyVKHDXVTVnHTDX\nFlyCRtTwWt/OaaT+JS4rMooD/QTG4knub+rhR43dvNTn5aA3iEqAhTkWzBo1i5wWvIkUx8enUu/P\nd/6FZl8br/QoOmAT2jfvhoDK4TSi1akZPs8MVSAxTigZptRadNptlroXcnPVdQSTIXb070Gv0rO2\n4JLJ34+Ekux5rQO1RqRu8ZQw5tLVSpl2IktVaFE+6wudOaCKhhOTJs1XXl/HgqWF5BVYUakv/BAy\nL+uTuOvVdt54vZNwMEFJZQ7iaUi6VrsBi02PJMkIglIOnsDytWUIAuzb0XlBpCzeTmhNyv0X1cZs\nl9z5wbp6LXkf/hiuK25T9pevKOMbFzRgDSlB/1BPP+TqGBhwoxYlemvLSMjgqMwhk5YIBuIsWVVC\nSdZ3M3zwAAMP/IT2L3yW9s99mpFHH2EwFEHmwr+DKo0V5AzSRSi9nYw8UzZDlZVPCA4rkjmiykDU\nf4RkVClx7+jfw3f2/pAW31sTxS3zKAuEdzpDBVC7yMO6K+dRu3A6X9O6eg1FX/gSosEAKhX2y69E\nX6ZkzS90hioTi+H/y4tkIu9ue5kz4W8moLIsW44lu1ITBBF7wZS33mzqx4urXHzzQytoyK8glonj\ni/tZWOnivs+vY9MGLSkphUMqZcgbo1BfBoDKNkZVkY3NK4q5pC6PaCLF4Wy54vp1FZNBSMPSOCqb\nj3JzJTctUbRONCoNH2/4IDatlSeHtpJ67ybkRILRR5QuPfvGTZPH5rj8CkCRbZhAOhjE+/STiAYD\nhXfeAcCbraO41iokUVN3CzLguXTuLcsA0VSUrmAvZdYS7r12Md/6yEoK5+AVaNIYucSzFG/cP82E\nd2GOGY0osG3QT38kTkaSeaxjiJQkY1Cr2DroYyiWpNpm4pn2Z/jvAw9QaVEyVxO8qpHoKLsGlMxX\ni/8EiUySwaiyTb7x7ZdMOBWCIOAptDLujxGNJMlkJHa+coLmw3PjKnVny30lltMHVACXFq/jihLl\nfm4sWoMhK7o4YUETGo9Ts8CD/iRbosJSB7keCx2tY7S3jFKcDah6z5ChymQkXnqmiWg4yapNFZOd\ndRcLBSU23PkWxobDHNzdA3BGk2tBECazVIWljmnna88xUr3Ag38syonmmSK972ZodDk4iq8lt+LO\nyW7H84GgUmFbuw5TkaKjNWEArTIacZmU4GpkZIxQTgGxuJ7cYiPxLMcyWWBEVAl4imys3FAGwPiO\n1xm4/z7C+/ciGvRoXLkEXtpC05NPA5B/gWVLJjr9MqmLK+ho01rRqrSMREdJJ/xE/Y1o9G6cWUNu\nf/9LJNNJnu3YQn94kB8fepCnTzxPWjo/dwS7WYvVpKV7+J0PqNRqFQ3LitDMQpcwzq+j9Fv/H6Vf\n/yaaHCcqsxmNK5d4l7JIkeIx+n/0g7fc+eff8gKjj/2Bgfvvm2yk+r+Gv3ovv9PBYKtFZy5DysTR\nGGaX9i/1WChNFHJo7Ai9oX6chhw0ahWHszYGC3LqGCTM6JCIkDKgsvrIcxpQiyKfeF89siwTjqWI\nJTO47crAdSLQybM9z6BX6fhg/Y3Tfs+ms3Lvwrv54YEH+JnmIB+rLEbT3ou+ct40PRLToiWonU6C\nu3fhuulWVCYlmyVFo+Te+QEcJXkU5XbR2OlFLFmBOieHtM9Hr6WI6tJzs/HYP3wIGZm6nBpsJi02\n09wHy03F69gx8Aa7B/exKFeREzCoVdxUlsdjHUP8srWf+XYTfZEES5wWrivN5YXeMQ6MBVnk0PCz\nI28gI9MVfACrcQ1N/mqSGYlnO7YgISGKTtKSlxbfcQajyoRbYHxn22Yn4Cm00tPhY7g/iHckPFmO\najs2zKZrqrE5Ti+e1xPMBlRnyFBN4IbK97AsbxFF5qn7erIm1MIV0/chCAIbrqriT48c5uU/NbH5\nhjqsWsu0DNVgbwCVWsSdb0WWZba90MpA7zgVNS4Wrby4ujgAoihy8z3LCI3HGewbJxpOUlmbe8bv\nVNTk0nRokJqGme/y8rWltDUOsX9HF5W17jkr8r8bYHGdu2Dw6aAosNtIRvqQpTSCqMZTrJQVxw0m\n9ChjlFzuBpQmkN5Mmns+thKTWUt/NMne413Mf/j3aE0mir7wJXRl5cjJJCN/+D0jshLIusUL5xQA\noNJOENODF9WGSBAE8gwuhqKjjA/vAmSseWsxWCvRW+cRD56gqe8VwqkIi3MX0Bce5KWebWTkDDdX\nXXdev1fmsXCk3UswmpzhKPFugsbpBOfUokZXVk54/96shMIbRI4eIeXzYVmx8rz2L2cykx2EsbZW\nhn/zSzwfvXdaJcQX9xNJxSYXge9G/M1kqE6FIAi4592Fp+bjZyxfFVuUAWdiBZ+RMhwda8KmtbK6\nXCkV7jo2RMrvBHWK3tBUGU4QBCxG7WQwNRwd5WdHfoOEzMcaPkieaSbBtMxawscW3IUoqnmoPkqw\nwI71vdPbcgVRxH7p5cjJJP4tLzD4858S3PE62sIi7JsuA2B5jZt0RmZf8wiahUpJ0le56Jy4DSkp\nzZburWhEDWsLz/1FyTflkaN30DneMy0zs8hp4aYyN7GMxAFvCLtWzXUluehVKm4sy+Pby+YRTnYi\nI7PQVY9GVOMNv4Y//AQPtTzHgZEj6NVuDPq1AOwbPspgNIFOJWLXvTvWCHlZHlXzkUHe3NWNyayl\nbJ6TgZ4Aj/1y/xlFJycI6aVnyVCB8oyVWIqmiXfmZDOIVXV5kzYSJ8Odb+Xa2xYiqgT+8nQTTpUL\nfyJAJBUlFk3yp0cO88ffHOCVZ5vZvbWDtsZh3PkWLnvv/Le1681i01Ndn8fiS4pRnYV8Wlyew92f\nWU31LNw+q91A7cJ8Ar4Yx5uGZ/n23w6M9jqkTIzQ2H4ACuuUMSxkz2HYm4MoyvQbRFSy9P+zd96B\ncRxk2v/NbG9a7WpXvRfLlmzLlnuN00li0ghJCIHQAuQIF8JxlFA+LnAHHO0IhNAJkEZI74njJI57\nkS3Jtmz13qVdaXud+f4YaWXFsi3LUkLx85e92p2dmZ3yzPs+7/OQMthLXzCC1qJFrVHxcnM3VTEV\nrcXlZN15F/oCpeou6nSk3/YJPCULEOJxePbJWV1ntWbMi+ocheGyLBHytiCfJhkg1ehEI8fwu6pR\na20Yx3RryRnKddU3XI2AwHXFm/nairvQihphAyvmAAAgAElEQVTq3SdnsU4XeWmKjqrj76DtdzYY\nt+cI1B/H/dqrAES6u06SoYwj5vEwumM7vb95gNHt25BjMUKtLYn7gv/IYWJuN0lr16MvLMK7Zzeu\nF55LfL4/MMj39/+M/z1wH62jHXO8dTPHvyyhAqX1d6YbxLhod9xNummklUAsSIWznNx0C2aDhro2\nN/FRRbdR52qYcjlDQRf3V/8OfyzAh0o/wAL7qV2XFznK+NrKL2DPzOePm7S8pDn5hLWu34ig1eJ6\n6QW8e3ejyy8g89/uTARkLhubgLrvr4f4rTePJ9M3YVm24gx7ZDJ29+xnJDzKxqw1Cafus0VBUi6+\nqJ+h4OTR9WVOK9fkpWLXabipMB39CXlRoiAkbAOuL97MPSvvpjxlEZI0wsF+5SlGpVmOVZuBIBg4\nMnSMgWCIDIMW8T0ac38n0jItCIJiSClJMhsun8f7PrCQjZfPIxaV2Ll16skzWZbp8HThMKRg1Mws\nAiIjx8q6S4q58vpTR6VkZFu56oNK0GusV9G8dHl7Euur1alpONpPzb5OLFY9V9ywaMp2wN8TThRL\nvxPL1uYhigIHdrQhTSMM+J8VSWnrEEQdnv4dSPEwSWlp6CIhfIZkfH4TjgyBnkiUfJOO7K5WEATa\nPQFGQhHawkrVqmX9pZMc2QGCsThDOhO2gIfgrh14qw7M2jqPV6h8Q/sZaH4EV+dLMwpL9g7sYaDp\nIdzdr53yPalGJ0UaFchxzI7liRxJjSENWdSRJIdZ6FiAw2BHr9aTac6g199PdIZtv7+XSb+zhT4v\nH4ChJ/9G3OdFl5sHgHf/XgCkaJS2b32D5i/dTdO//xstX/x3+h/8Pd59exl49GFcr7xMx3/fi+tF\nZbhqdPs2AJIvvoTMO+9CbbPjevF5pFAQb8THL6t/jz8aQJIl/nj0EYKx6SduvJv4lyZU04FZa8Km\nS6bT200kHqVmSLnRVzgXIgoC88f0JJInBQGB41MQqj7/AD89+ADDITebCy5nbeaZiY3DYOeLlXeQ\nbkpjV89+enx9ib/5on56ZA/ymmWg0eD44E3kfu0baE9IJc9ymLhuQwE5qRa6PVEazbksKLBPe7uV\n6tQbaEQNl+Sdne7qRIznyLV5Tn6qWJVq5UuL88mzGCa9HoqFOO5uItOUjtOYgk2fzB2LbyU/5TYM\nuuXkJa9Hrc7ihsJ0jNo8olKQmDR4zmJYX8Q/ayeqRqsmZSyHsXiBk4ISB4IgULYkg+x8G50trkT+\n4IkYDrnxxwLTqk6dCoIgsHh5Nlab4bTvy8xNJrfIDkPK+7p8PbSMeXpd/9FKNl5eQk6BjatuXITx\nLFq9f4+wWPUsqMjAMxKi/vC/bpVKpTaSlLYWKRbAM6CIrlMMeuIB5dzRZCrVoAWOZApSlH83NLWy\nb381CAKaeJxeQU2Pf7J58e6BUaKyzPLsNASNhoG//CkRHnyu0OidiGojsbCLkKcJ39ABXJ0vJR5I\n4lE/Qc/pA7JlKYZnQDGp9A3uIzBaP+X70oxO8sceHPRJRYnXBUHAJatIVolckDHRhs02ZyDJEn3+\nmenzJib9/sEIVX4+CAJxrwdRryfzzrsQtFq8+/chyzIDjzxEpKeL+OgIqmQbxvKFOD54E/bN70eO\nRPDs3gnA8LNPM7pjO/7aGnS5eejz8lEnJZG0bj1yLMZozSF+VfsgQyEXV+RfzOV5FzEccvHo8af+\nLodMzhOqaaAoOR9PxMs9O7/D3t6DGNUGSpILAViQr5AUragjPymX1tGOSXlQvf5+fnrwAUbCo1xX\nfBVXFFw87e9Vi2quK7oSGZmnm14E4EDfIe7Z8V2+v///+FlmE/ffYCe2YUWiMnUi3r+ugJ/9xyZ+\n8YWN/O9n1ySmSqaD2ahOAeRblamyqQjVqVDnaiAmxRK6K1AuaJWONLTapYzEF2DXaSixGqlwKCX5\nWKzjnAiVJEv84MB9/ObwX2a8jHeidGE6dqeJdZeUJF4TBIF1FxcjCLBza1Mii3Ac7R7FRG86+qnZ\nwLzyNPSBsbbDaBddrS7sThO2FCPlS7PYfFMFtpSZCaJHwqPnFLw826hck4tKJVC1q/2k/f6vBItz\nFaLajHdgD/Goj6WZDvRDypRsp1U5FkqtRhasXY0gSbS6PdQGoghSnM2ZygPkvhMipCJxiV39IxhU\nImuKcki59nriPi8jW7fMyvqKKh1Z5XeTvfgrZC/6MlpjJgF3LX5XDZFAD331v2Gw+WFC3slj/FJ8\nIorLN3wIKeZXAp4FFa7254hFTiZ8qYYU8tQqIoIajX5Ct+eJeGkIKi3HPO2ETjNrTLvYPQ3bkalg\ns+iwGDX/cBUqxatKmQhMvvhSNHY75oolRPv7CdQdTeihkGUyPnE72Xd/CfvlV2C/6v2orMlE+/sQ\ndHoElYr+B38PkjQpws2ybDkA3bvfoM3TwfK0JVxVcBlXFVxKQVIeVQM1VPVXT1qncFcnUuS9NUk9\nT6imgRvnXcvleRehFTWE4iGWOBeiEhUCUzbmEl2UaWVJ6kJkZB5veAZZlgnFQvz28J/xRf3cNO+6\nxETW2aA8ZT6ltmLqXPU8fOwJHqx7DK1KwwXZ61ievpSYILOvr+q0yzDo1DiST1+teCfe6tqJRlSf\nU3UKINuchSiItJ4FoRpv91U4J/vuLLJPELuVTiuiIHBF3iJARTTWfk6EqtvXhyvkpnW0bdZIwOIV\n2dz0yRUnVXfsThMLK7MYdQfZubWJUChCf2BQafdNc8JvtpBXlIJJSkKUVLS6u4jHZQpOsB2YKQ4N\nHOYbO/8nYWvx9wBzkp6yJZl4R0PUH+mb9DdJkv4un3jnAqJKizV9I7IUZaRnK8uSzehHQkQsGrpl\nGadeS4peiyUjHWfQy0CyE5c9lUIpTGVOGlaNmpphL+ExUnpgyEMgFmd1WrKiY9x0EaLJxOjbb00Z\nsDsTCKIKUaVDVOtx5N+AoNLj7nyJ/oYHiUcVMhIcnZBG+F2H6ar9Ae7uLWPVqV0Ighp7zpXYsi5H\nigdxdTx70vfYRTCJIv2yZpIc5I2O7XSP5Z1Gg72J17MtCqno9vUyEwiCQF66hWFPKOFb+I8C89JK\n1DY7tjGjT/MKxbal5/77QJJQWZUKp2fPzsRnRI2W5I2bAFBbrThvuRUAQavFsmoiFUKbnYPGmYqq\nvhVVTOayPCUDUiWq+Fj5zQgIvNk1sdxIfz/t//Utup58ek63+Uw4T6imAZPGyNVF7+M7a+/hi5X/\nxvUnTHSk2Y185upybrl0Hhdmr094Se3o2csjx5+kPzDIxTkb2Zh9coTIdKCYOG5GQGBX7z7MGhN3\nLf0sN867hlvm34BOpWVPb9VZk4Djrka+uv3ek1g+KHqv/sAA8+0l51SdAtCqNGSbM+n29iR0Bqe7\nccWkGEeGjmPX2yZNrgGkGrRkGnVoRIFKh7Jedr2RNFM+kuRGxcyf8hrHhKVRKcZgcHjGy5kuVmzI\nx2TRcfRgDw/ev5NfPfEM39n1Ew4NHEZAgAEjL/6tFt8UuZCzCbVGRVFpKnp/EsPRYSQhTsG8cyNU\nw0E3Dx9/AhmZ6jFy/PeC8SnFthPCq0PBKA/et4udr89cXDybiMSjDAenH5czE5gdlWgM6fhdNTTV\nHgJZIDszhEYUWO6YqGQXOJKRx/y/lpcUoBIEljmTCEsSO/rcjEai7OhzoxEF1qQqN1BRp8O64QLi\nXi/efbMfoqvWJZOSew2yHANBVAiWoCbknWj7+YYPAeAd2E3v8V8Tj4xiclSi0pgxO5ahMxcQ8rYS\nCU5u/8oB5YGm6YRKRyAaYHv3bryi8lAa8U9UozJNisziTD5up8OEjmr2DT5D3lb6G/5IPDr73k6O\n62+g4Ac/QmVR1t+0aBGiXo88tu8y7/wCotmMd+9e5BOiw7RZynU95hrGUrkc540fIu0jt6EyTDz0\nC4KAuXIZqmic0kExsZ8BHIYUFqTMo83TkZDCBBrr6UhVE0k6u8LBbOM8oToLqEQVRcn5Cb+fcawq\nSyPLYUIlqvjkwg9j0hj5a/3TVA3UUGjN45qimZvyAeRYMrk0bxNZ5gzuXnZHYmxUp9JSmVqBOzxC\no/vsXGvf7t6NN+rjj0cf5UDfoUl/O+ZS9AVl9qkdhc8W+Um5xOQ4Xd5uIvEI39//M+6v/j2h2GSy\nEJfivNK2lVA8RIWzfMqBgY+UZHDHghzMmolpvouzlwBQ5zo+43U8MWj4RL3aXEGn13Dzp1awbEMO\nMTlKak8JlqoSvCMhckfn88Yz9XQ0u6irntmT79lgXnkq+kASCDIqRxhH2sxjV+JSnAfrHiUYC2JQ\n62n3dOKLzOxi3uHt4sGjj3Hvnh/OGsGwWPVYbQZ6u0YT0TZdbW7CoRiHq7pn7G4/WxgIDPH9/T/j\n3j0/ZCAwd8G5giCSkvt+JEmkrlohA5XztHxzaRHr0yd8xkqylBuZThRYYFOOi+WOJFQCbO1x8YOa\nNkYiMZY7rJPOyeQLLwJBYGTrljmp/BmTS0kt/igZ8z+D0VaGzpxHNDRILOIhFvET9rWjMaSjMxcQ\nCw8DIkmpa8a2XcDiVKaWfUMHJy13vG1YF/ASiSsVo21duwnFw6zN3ohKk0Q40J3YJr1aj8OQQvdZ\n5mGeiOKxieBdR2b/ujPa+xZhf+dJ7dDZgnCC2a6o0aIrUeQN+qJiDAUFWFasIu71EKg7mnhfuEsh\nrZGYxLP3PcL9PTZe8J9sixJaoEwSVvSdPDy2JkPRIY8ncRzsr+Hpi23stby35+95QjXLsOmTua3s\nZmRkTBojnyj/cKI9eC64pugK7ll5dyIeYRyrM5Re894ztP1ORDAW4ujwcZJ1VvRqHQ/WPTaJVNWN\nRc2cKqLhbDEhTO/k9Y5tdPl6qHPV84vq3xOMBZFkiZbRNn5U9QtebtuKWWNiQ+bqKZdl1WpIf0dr\nb6FDMWY9PFg31UfOCEmWaBqZSE/v8c89oQLQ6tT4crqpr3gTc6GEPpBEad0mLPUFaHVqVCqB1sa5\nj0zJzLVhkZSLuiXvzJOvp8Mr7W/QMtpGZepiLs3dhIw85aDG6RCMBfllzR/4wf772N9/kP7AIPv6\nDp75g9NERo4SXj08oIR0d7VN5Bhuf60xQbTebdS7mvjhgZ/THxggJsep6q+Z0+8TtanU1K1j2JWM\nI8VFenYmalGY9PvnWwzoVSKVjqREblqyTsNnFuRwYaadBckm8s16LsiYHJCtSXFgXlJJuKOdUPPc\nVP70lnzUOuV7xwXkIW8LI4NHARmTbSGpxbdgzdiEPfeqhEEogMFagkptxu+uRZIU4iRLMcK+DvyC\nDp8sMRgcIhyP8GbXdgxqAxuyVqM1ZiLF/JOyBbPNGfhjAUbCM7uZLyxMIS/Nwp6j/bT2zl6VKhoa\nIuzvHPv3u2NquzM9yKOX2VBddyWgOK0DeHYrAxDba3po3FsLwG8Lr+cFsZiWPh9vVHXhDUxuDzcl\nhfEaRRytLuTY5CnKxY4yzBoT+/oO4o34eMXUhSomc+Gi6WuU5wLnCdUcoDxlPnct/QxfWvY5bPq5\ndZUusubj0Ns5NFBLKBZiJDyaMIY8FQ4P1RGTYqzLXMnnl9yOXq3jkfon8UX9xKQYDe4mUg0OHIZT\nu1OfDcaF6TWDR9jS/hYWrZllqRW0etr5/v77uGfHd/lx1S/p8HazMr2Sb67+0pQeXaeCVZdEXlIO\nTaOtBKJnH0/R6e0mGAslCGTvu1ChAqWas7VzO2qNyPXXrebCK0tRIWKy6Lju1qVk59txDfoZdc9t\n5IYoChRnKqRX45zZ+Dcorao3O7dj0Zr5UOkHKEtRPI6OuqaeqBpHm6cjUY0JRIP8vPp3HB0+TnFy\nAZ9a+BFUgoqaoaOnXcbZYNzpvadDyQrsanWh06spLktlqN+XqNi8mxgNe/ll7R8IxyN8sOQa1KKa\nqoG5I1TxuMQrTx6hp1sg1elleWV9IjvwRBjVKr5SUcCVuZMf5LJNei7NSuEjJZl8ekEOSVOEISeP\nJzrMkjj9dDBYxgiVp5mRfqXNbEiejyCosKZvxJwyOXNSEERMKUuQ42ECbuVBLOzvQJZjRHRKy/vQ\nQC1/rX8afzTApux16NX6hLFoJDBxjGQnhOkzqyaLgsBNFxUD8NjWRsV9XJZp7fUQn6HFx56jfRxv\nmHhIjgTnnlDJskyLaoQBh4ZjBkV+oS8oRJOWhq/6IB6XhwdfOoZxuIcRjRlDSgoX6QdZ5T6CJMMr\n3/4pLV/+DwINyvXiuLuJpmwdYiiMr2ayNEUtqlmZXokv6ue+g7/Gr5VZ260l0/bemn6eJ1RzhHm2\nIlKNp3d3ng0IgsDqjOVEpCjf2/8zvr7zv/nBgfsmxb28EwfHLtSVqRXkJeVwZcGlypNY5w5aR9sJ\nxcMsmKXqFECqwYFRbaBxpIWIFOXqwiv4WPmHWJuxgqHgsLIN6cv5/JLbua3sZswziNlY7ChDkiXq\nhk9/854KDW6l3bcibSkGteFdq1Ad6K9mJDzKusxVmDRG5i/O4MN3rObmT63A5jAltEytDXNfpVq7\nogyAoMY342VUDx4mGAuxJmMFRo2BbHMGSVoLx4YbTqnxGwgM8qMD9/Nfe37Izw/9lvuqf0O7p5NV\n6cu4a+lnWJq6iHm2Ijq93bhC7imXcbbIzBkjVJ0jeEZCeD1hsvKSWXdREVqdir3bWvH7wmdYyuyi\n1dNOTIpxRf4lbMpZR7m9lF5//5y1n4/X9tHZ6ia3yM7mWzaSOf+jiOqpUwZ0KhHVDKqWhtL5ys20\ntmaShmYuoNY7UGmSCHmb8Qw3oNGnotGd3iZmnGT5hw8iyzKBUaWSqjXnA/By21b29lWRpLWwKUcx\nEdZNQaiyzIowfToB46fC/DwbS0scNHaN8tc3mvh/v9/Hd/50gL+8OvX1zO0Nc6hxcErC1e8O8Jvn\n6/jrzhCiyoCoNhJ9FwhVpK+P4bFL9+Fh5f4jCAJJa9cjRyJ0PPM81pgPgxQhu6KM731mDR++8wNs\nKleuc/XJxcRG3PT94bdEA34aR5rpL0sHUaTvd7/Ge3ByF2a87dcT6Mc+GmOjtoT3GucJ1T8BVqYv\nQy2qGQ66KEkuRCWo+Gv9M4Riyk1hKDjMlva3CMaCBKJB6oYbyDJnkD5WBVqfuQqL1sxbnTs5MCZS\nLzuN8ejZQhAE8pOUKlWOOZPVGcsQBZFb5t/Ad9few/+s+wYfKbuR+faZnxCLHAohqD0NkYzEI1Pe\noBpHFH3BPFsRmaY0BgJDRONzO3EjyzKvd2xDFEQuzNmQeN1o0qIdc3vPL0lBEHhX2n5Oox1REBkM\nzPy7do/lK45f6ARBoMxeijfqO6Vod/9YtJHTkMJxdyOd3m7WZKzg1gUfTLi/Lx6zxjjdb3s2sFj1\nWKx6ejtH6WxVtFnZ+TaMZh2rLigkEo6x9flj7+rU37hxcL5VqRRWpiqmqwcHamf9uyRJpmZfJ6JK\n4MIrStEZrFNWp84VgiBgmFeKHA4T7uqc9eW/87v0lkKkeAhZjmNInn/Gz6h1NvSWQsL+Tnrqfo5v\ncB+CqKUgfRUr0yu5MGc9n150G99c9aXEQ954hSrsP5FQjQWMz7BCNY4PXliMShR4bX8nvcMBLEYN\nb9f0Utd2sn7w10/v4edPHuZbv99LbfPwpGP1YINS7e0ZNSIbF6M1pBGPjk6ykThbRN1u/EePEPee\nevBnoL6GkE45Z5tH2hLaSdvFl6KyWlHtfZN5PmXae9xpXVCrKf3oLRRmJtGqsqG5+EpiQ0MceuEh\nwvEIaSWLyfr3L4Ao0vvAL3CfUO3MNKcn7isX7fNiyi/ivcZ5QvVPgBSDjW+u+hLfW/9NvlD5WS7N\nvQB3eIQXW1+j2dXODw/8gmeaX+KHB37B1o5txOU4lakVic9rVVouyb2AUDzEjp69qEU1JbbZPTjL\nUkoRBZEPlFyduFEKgoBNnzwrcSaZpnRS9DbqXPVThpUeHqrj3j0/4r/3/YS3u3YlXo9LcZpHWkk1\nOkjWWck0ZyAj0xeY2ye6mqGj9Pj7WJa6hBSDbcr3GIxa0rOs9HV5CPjn1l9FJapw6O0znnAcDAzT\nMNJMSXIhqcaJKcGyFIWY103R9pNlmQP9h9CIar664i6+vvKLfKL8w9wy/wOTonQWO8fI8uAstv1y\nrIRDMY5UKUQmO1/5DcqXZpJXnEJ3+wiH9rx7ERfjhGo8mWGhowyNqObgQO2sE7u2xiFG3UFKF6Zj\nPI27/GzAUKQ8JAXnSEd1Ik404pwq8H4qmB0K+Zdifoy2RaQWfwS9xsxtZTdzQ8nVVDjLMWomJsdE\ntR61zk4k2JP4Xez6ZAxqw4y9qECJxUm3G/nI5aVcVJnFf396FXffWIEgwIMvHyccmajwtbTW0tAT\nx6SN0OcK8H9/q+HZHRMa0IP148MMAp3+QjR65cF5plUqWZLo/r8f0/3TH9F89+dp/dp/MvDow/ib\nmxn1hZW82nCMhvZjABhEPTIyR4aV/7/c8zZbygRU8RgXjE1f6gsUH8dIPMpf6h5HzjuAaO+hsbCC\nSHoOj/gV8pehy8O0cDE5X/4aKouFwUcfxvXSC4l1+3j5Ldzal03WYBR9fuGMtm82cZ5Q/ZPAYbBj\n0SpTOJfnX4zDkMKbnTv49ps/xR8NsMixgP7AIK+0vwFMPAGPY0PWmsRTWLG1AJ1qdp2xL8hey/fX\nf4sS29wc9IIgsNBRRjAWmiQwl2SJP9U9xq9qH2Q04sGg1vN4w7OJgOsObxeheJh5ycrFONOkZMHN\n5aSfJEu82PIaAsIZjV7H235t70qVyoEv6icQnZ5bvCRLxCXlQr+nT4kaGa9OjWO+fR4CAkenaMV2\nersZCAyxyFE2FuORzrK0iklkCiBZZyXPkkPjSAuBaABZlvFGZt6ahAkdlXs4gCVJR9KYT5sgCFx0\n1XxMFi373m6lr2tqoXHAH6G9aXjWyE6ntxubLhmzVjkH9Wod5SkL6A8MzGoLWpblBFF8N4KuDcUK\noQo1vQuEylIACOgMKQkScSYYk0tJL/00WQv/A0f+ddOq1GmNWcjxcMKPShAEsszpDAaGCZ8hEkeW\nZSKBvknHTdjXQWf1/xAYOcbGikxuvayUNJuR/PQk3rcyl6HREE+9rVTRI8F+tuxRNGJXV7j47JpD\nWI0Cr+7rxBeMMjwapLnHg1mnEJLj3TE0BuWaFpmhMN138ACR7i70hUVoyyt4UV3CTxp0fOHxFu7+\nxU7+/Wfb+dxP3+axscEWb6fioVc7VEePr49X2t/gcL6GgWQNKiQQBPR5+QRjIe6v+R17+g7QF29B\nW1TLs57f8sCmKJGcbmQZnn/Vw/BoCH1ePjlf/QZqewpDTz3B0LNPI8syDoOdjOP9CDod2oyMGW3f\nbOI8ofonhFal4ebS65CRiUtxPrXwVj67+OPcVnYzGlFNkTV/UhUBFAuGi3M3AhNTc7MJURAxzTCb\nbrpYPNb2qzmhktEy2s6+voNkmzP52oov8Pklt6MR1fzx6CP89vCfua/6twCUjrUbM8f0EHOpo6oe\nPEKPv48V6UtPmtp8J8YJ1bGa3jnX9aQalO8aDE6PvD1Q80e+vP3bPHzsb+zu2Y9epWdp6uT8QJPG\nOJYg0H4SUdvfrzytrkibLBieCoud5UiyxMttW/lx1f18dce9M9LLjWOcUAFk5dsmVUn1Bg2XvL8M\nWYa9b7dO+tyIK8CbLx3noV/u5qUnDlN/+NyPk9GwB0/EmwhiH8eyNKWKPNNpP89IkL7u0Uk3797O\nUQZ6vRSUOLClzO35CKBJS0NlthBsapzz71KpjTgKbqRg8S1nVfXWGtMRz+IB0mhTrjO+4YnfJdeS\njYx8xmlU7+Be+up/Q8B9eOK1oSpAYrRv+0kE/Zr1BaTZDLx+oJNdB3bSXf8Y1d0OrEaRDWuvJD1Z\nYnVuG+FonK0H2tm6Xam+bygaxKRXcbTVhXrM8X0mFSpZkhh+/jkQBNI/eTueqz/KQVMxboOdNDFE\nqa+dcnOUhVkmbBrlXNAFspCCJg4PHOeR408iyRJZhgLeXjbWNs3MYjA2yn2Hfk3TSCtLUxdzz8q7\nsYyWE/fakAJm9CED6a1Ght0SP3z0ECO+MNrUVHK+8jU0Tieu559ldNubSKEgkd4e9Hn5kywc3iu8\n92twHnOCBfZ5fHrRbfz3JV9mydhNbmV6Jd9d+3XuqPj4lJ+5OGcjty/6KBuyprYs+HtHSXIhZo2J\ngwM1icrJuAD/2qIryTSnk5eUwycX3kpcjlM9eIRkbRKbCy5jyVjMTaJCNUeESpIlXmrdgiiIXJF/\n5hHfpGQDuYV2Bnq9PPLrvezf0TZnsSkOozLVOR0dVSQe5bi7kVA8zK7e/YxGPCxPq0A7xY1pvr0Y\nGZnm0cmVw6r+Goxqw7TsOcbJ8hud2xOu+3t6Zx7Aa7HqMVmUdtd4u+9EZOYm40y30Nc1SiSstJBj\nsThPP3SI47V9mCw6BAGOHjr3icBEu88yeUJpXMc4Hkf0TjQdG+B3P9nO8KBSrZNlmaPDx/l91WP4\non5e/Nthnv7LIR56YA87tjTy6tNHePVp5WFjyaq5r07BmLapuJiYa5ioa27NSkGpOJnGpornCoak\nky0XLsrZgEFt4KnG50+Z6yfFI3j6dwDgHdyXeC04qvjnRYN9CZuDeCzAcPszDDf/gevLD6ES4/z5\nTT9bjtkJx9RsqsxDb0gmJWczlVnd6NVRXtvXzFuHlGNp4+qLKS9Iwe0NMxRQOhczsU7wHaoi0t2F\neu1K2rR+qrqPIZpdfPq6cu6961JuCFZzdd2TfNTcRZJmEBGBe27ciCmShSTEaPW0U+EopyB0EZ3m\nFF5bbWHrchP37v0RHd5u1mas4BPlt5BlzuDi7IuIHF/FgsjVfN24kZv3tHFpFgyMBHlmewvuLa8y\n+PhjpN56G4JOh+vF5wk2N4Mso88vOOttmwucJ1T/xKhwllNgm3zhNGtNGNRTu8mqRBVLnAtRiyeP\nQP8jQCWqWJa2BF/UT52rHkmSODRwGCnjBKIAACAASURBVJPGyLwTNGELHQv48vJ/556Vd/Ot1f/J\nFQWXJNpMRo2RZJ11Tlp+sizzVtdOev39rEyrnPYU6BU3LOSC981Do1VxYEcbVTvbZ33dYKJCNTCN\nClW3rwdJltiYtZY7l3yKS3M3cUXBJVO+d3zfj09TAjSNtDAa8bA0ddG0jrcMUxpLnYtYYJ/Hl5bd\nicOQwuGhOiJnaLGcCoIgkF+SgkarmpJQAeQW2pEkme6OEUDxqwoFopQtyeBDn15FbmEKA71ehvrP\nLYetc0yw/84KlV6tx6wx4Q6PnPQZWZY5sLONaCROU90A7Z5OfnrwAX5Z8wdebdrGjtb9jAwHMBg1\nCdPSlvohRJVA5Zpc0rOtJy1zrjCuo5ptPyopHEaeoa3AuUCxXKhAjocJjihkyKZP5pb5HyAiRXnw\n6COJVIgT4RvajxQLIAhqIoEeIoFegqPHkaXoWLtSCW6WZZnh9mfxu2qJhQbJskvcuNJDJK5mT3sW\noiCwsUIh30ZbGdmlN7NhgUgwqqFzxEpemoG01CzKx3Jmj7V7UOvsRIMDZ9WiHq9OSaLAX0v9/OzQ\nrzkQew5d2T7a4lWIej2Oa69HjkQYfukFhq0qnDo76TYLn9pwobKMuIoScS2NHV7ibRU0FJk5aHJT\nklzIJxfeyi3zb0hcey+szOJz1y3kjmvLsSxSHnDXjx4hzW5k5+E+Wp57CV/VAbr/78donE5ibjfu\n114G+LshVP+Yd87zOI9TYFV6Jdu6drK/7xBpKTY8ES/rMledZK76zmrAicgwpXHM1UAgGpwkSD0X\nuEJuHq1/irrhenQq7VmFZIuiSNmSTIrmp/LY7/ZRs7+T8spMTLMsKB5vA09HmN4+5nWWn5TDAvs8\nFpxmKrQgKQ+1qJ5EqPb3Tb/dBwoB+tSijyT+X5m6mNfa3+TocP1JbcZ3Ii7F2d27n6gU48Kc9YnX\n111UzIr1+RiMU7d7cgpsVO1qp7PVRUGJg9Z6hWiWLkpHFAXKlmTQ3jxMXU0vGy+beURTp2+8QnWy\nfsemT6bPr9wIT2xjdbeP4B5S/Mlam4Z4nBcIxUMssM/jmKuB5q4eRDKZX5HBsrV5DPR4SEo2YE7S\nzcoQyNnAUKx4LAWbG7GsWHnOy4u6hnG9/BKe7dswLa4g44473/VtMqUsxdO/E9/wIUx25firTF3M\nsYyV7Ordx+P1z/Ch+dcnyIIUD+Pp34Wg0mPPvpLh9qfwDVURiyhk2ZZ9JUNtTxIYOYa6ZyshTyNa\nXRap825DVKvJLAOv2MLzu9pYOs+BzTJx7huSirnqwly2HdtFJCaxfL4iWygvUAjV0VYXS5alEhw9\nTjzmQ62Z3rEaOFZHpKuTlkvK6AoNUJJcSHODGsnZSLNPOZeT1m3AvfV1hl3dRLQimUnKdXVeSgHL\nUpax/0CMp+v68IeiFGVl8bEVd6ESxCl9BtUqkWWlY687U9E4Uwkfr+PKT17PH19tYK+phGsXyER6\ne4mMua0HjioVV13B3wehOl+hOo9/KuRaskkzOqkdOsrWZqW8/k4B/pmQaVbiNmaj7eePBni2+WW+\ns+dH1A3XM99Wwj0r756RaapOr2bF+nxiUYkDO9rOed3eCZsuedrWCeMhznlJZw5x1qg0FCTl0u3r\nxR8NEIlHOThQi02XTFHyzC6E47/poTPYCjSPtPGDA/fxaP1TPNH43CQ3a5VaPCWZAkjNTEKrU9HZ\n4kKSJFobhzCataRlKll3uUV2TBYtjUf7iUZm7rPU6e3GojFj1Sad9De73kZUiuJ7Rxbb+HSiJUmH\nezBAPABX5l/CnUs+RaYljeF+pQ3oTDOj0ajIyrNhserfdeIBoMvPB5WK4CwI00d37qDtnq8w+uZW\nZEnCd7AK3/7Zzws8EzQ6OzpzHmFfG9HwRCvzhnlXk2XOoLZvP9trfkbPsQcYansGV+eLSPEgSamr\nMdrKUGms+N2HCXlb0Rqz0OhTxuJwZCXIWdbg+dUuRra8llj2NRsK+MzV5Xz40pMfXpKMWi5alo1G\nLbJ8vkJK7El6MlKMHO9wI2jHdVT9J312HO+s9vmqDhDWCGxL96FVabk293r8bYUY4g46vd2EYiEE\nUcR5480MW5XazPi1UxREPlFxE9ct3ogvGEWWoTQnmUxz+rRNm40LFyKFQlQYfFiJUJNUgn7zB8j7\nf/eSccfn0I1VpUyVy9A45t7zcTo4T6jO458KgiCwMr2SqBRjR8d+zBoTJclnN1k47m1Sc47BvtWD\nR/jWru/zWvubGNR6bp3/Qe5c8qlzcqCfvzid5BQjx2p6cQ/ProO6SlThMEzPOqHd24VOpZ1223Ke\nrQgZmcaRFmoHjxCKh1mZXnnSRN90kW3OxHmGtt94G6zb14tzbJ+P65WmA5VKJCvPhmckxPHaPsKh\nGAXzHAlSIooi8xdnEAnHaTo2wwmqqB9XyE2OJWtKsmPXjU0jhibaft7REG1NQzjTzYlJvaTRNNZn\nKVl1Zanz0PgUAfC55DLOFkSNFn1ePuGOdqTwuXkhDTzyEIJWS9rHPkn+f30XQaNh4NGHift8xLwe\nBh9/jMG3t8/i2p8a48agvqEJLZ9W1PCp9Hl8NtlEgewlEhwk4K4l4D6CqNJjca5CEETMjkpkKQrI\niQqXybYQUa0MCkRe7YFAHO+BCbIoCgKrytJIPkVl+oZNRfzxm5eRZpsYNijPtxOJSvR4lLb2qYTp\ngYZ6Gu+4PeFILksSvkMH2b/Uhk8KcXneRQwPK8dnpj4HSZY42rmVgaaH0BZlEL/ucgAyTggxBrhk\neTYlY+3l+XlTt9ZPBVO5sl8Cu3eyYqiGqKhhW1sIQa3GsmwFGZ+5AwSBaF8vUnBu0ySmi/OE6jz+\n6XBiG2lJ6qKzzlJc7CjDqk1iZ8/eaVsIvBOReJS/1j+NJMe5rvgqvr3mq6zJXHHOFQJRFFl9QYEy\ngbZt9gNPnYYzWyeEYmH6/QPkWrKnTYjm2ZS2T4O7mT1juZOr0itnvJ6CIFCZWkFEik5pyQCKaF1G\n5uPlt3DjvGuBUwu8T4XcQqVtMr6vC+dNJpALFmcgCLD7zWZ2vN5If8+Zs9hkWebI0DFcIXfC8HSq\ndh+QiK5ynaCjOnJQGSlfuCwb2alUrrIChVh1SiunPLUEvT8JUUPCDuK9hqG4BCSJUOvMj9nBvz6C\nHA7hvOEmrOs3oM3IJOXqa4l7PfTcfx9tX/8a7tdeoen+XxH3nZutxnRgSF6ASpOEd2AvIa8ycDHa\n9xah4Sq0WhvHVE5+MuKjy7YaW/aVOAtvpiswyA/230d1KIRy+xUxJivGtYKoxp55NdKeMPFmL2qb\nnXB7G1H39BICREHA+g6ylZ+hHBN9XsUFPxqaOnDbs2snxOO4XngOWZYJNjXiknwcKlKTordxcc4G\n2vqUY3tBinIuH+s7QMjbQn/97+lXK5Xf8aGeE9fpc9cv4vbNZZSdJaEylM4HlQrPzu1UjDZgUsPW\nqi6CY0MiWmcq1g0bifT00PGdbxNqbzur5c8FZkSoSktLdaWlpY+UlpbuKS0tfa20tLSktLS0uLS0\ndEdpaen20tLSB0pLS8+TtfN4T5BisFNkVcrBy86y3QdKTtSFOesJxyPs6Nkzo3XY1bsPT8TLppz1\nXJJ7AVqVZkbLmQr5JQ5SMy20Ngwx4prdJ7PpWCd0eruRkcm1nLndN478pBy0ooaawSMcdzWSn5R7\nVnmNU2Hp2G87VeZdXIpzcKAWs8bEUueixLq2e0+fc/lOZOZb8VoH6bY0oTLKZORMFnNbrHpWb1JE\n94cPdPPUnw+eMWC5ztXAA7V/5Nu7/5enmhSTwuxTaPoShGosdicaiXOsphe9QUPxAif7vfsJGbzg\nMhKLKm3HEmsRupCZuDn4nrT4poJhvuJc7tmze0af9x+pxXdgP/qiYpLWTyQL2C69HF1OLsHGBpDi\nmBZXIIVCjLy5dVbW+3QQRQ2OghtAEBhqewrv4H48fdtRaZNJL/0kq0s/jITArqFGLM7l6My5vNr2\nBh3eLh5v2cKuqEjEXonqhKgtzzPbiFR1Y7v8fdjed4Wy7bXVp1qFMyLbqVQo+9wgiBrCvo6ThOmy\nJCW+I9TaQqi5Cd/BKg6XGJAE2Fx4ORqVhrax4OZV+fMREWiPBNHo05DiYTrdDagEccrqe5JRy5qF\n6Wd9LKoMBgxFCnnTqgQuXZ5NIBxLTDICpH74o9iv3Ex0cJDO730X96GZ76vZwExJz+2Ar76+fjXw\neeAXwE+Ab9TX128ABOCa2VnF8ziPs8dNpddy25IbKEmemeP7+qxV6FU63urcMeXEzukQlWJsaX8L\nrajhohNiZWYLgiCweLlCEGY7yNc5Lkwf01GN20+AElniGQnS0N4JMuROQz81DrWoptCaz0h4FBmZ\nVenLznlds80ZpBtTqRk8Qq9/sjbkyEA9vqifytTFqEQVZq2JFL2NDk/XtCad/NEATzQ+x/cO/4j2\n0v305tdRX/YWR1zHTnrvklU53Pb5tVz5wUXYnSaOHOzm9efqiMemnkDbN1ahs2jNiUDd3FNUqOz6\nyS2/+sNK67F8aSb+uJ/qwSPgDCDFJqYRw24QEBjRD076/d5LmBYuRpOejmf3TqKus3Pjl6JRBh7+\nC4giabfelvAbanQ344p6ybjjTuzvv4b8736PjE/fgdpixv36a0ih0FxsyiToTNnYsi5Divlxd72M\nIGpwFt6ESm3Eqkui1FZMq6edoeAwnoiX2qE6MkxpXJC9jp1+D79q35NoWYfa2/Ds3okuNw/HdTdg\nrlgCgL/60OlW4bTISDEiCNA95OeYaKfON0jY1zbpPaG2NuIeD9pM5Rh0b3mV0UNV1BUZMKmNLE1d\njCzLtPV5SbUZsJvMZOnN9MYljBmbcBTdwnBcwi5C1D+7EUPGcmXaz1SxhEtWF2DQqXh1fyfRmHJc\nCyoVjutvIOuuL6K22YmOTm3E+25hpoSqDHgZoL6+vh5YACwDto39/WVg6hnq8ziPdwFZ5gyuKr14\nxk/oBrWBdZmrGI14E/mG08Xe3gOMhEdZn7U64V4/2yic50Rv1HC8ti9RmTi0p4M3Xjx+Tu7d41qj\nptE2flP7J7647Rt0ent4/fk6fvvjt3n4V3vpeEUmv34laWL6GZY2GeP2CSpBlTCtPBcIgsC1xVci\nyRKP1z8zabt3dii6lmVpSxKv5Vqy8UX9U9oQjEOWFXPGe/f8kDc7dyAgME8ux9ldTFSM8JvDf+Lh\nY0+cFPasUonkFaVw7YeXkJ5tpfn4IK89c3JUTigWpnbwKE5DCveu+Sq3LriRD5Zcc0pdnV2vtElc\noRElg29/JyqVwMJlWeztq0KSJRbMH6u+NStEZdzd3W9wJyYI32sIooj9is0Qj+N+5eWT/u6rrWH4\nheemtEHw11YTHRwkedOF6HIUzViPr4//O/RrHqt/Cm1qKo5rrkOdbEPU68nYfBWS38/o29tOWtbZ\nYmTbW/T94bentWcwO1ZgtC0EBFJyr0FrmGh7LU9X5Af7+6rZ03sASZbYkLWGG+ddw2V5FxKMhRRS\nDAw9/SQAjhtuRFCr0TicaLOyCRyrmzE51KhVpNmMdA15eG6whWf8IQ52vDHpPf4ahbClXHs9upwc\nfFUHaDD6COpEVmUsQyOqGRwJ4g/FyE+3IMtxsoQ4MtAVk2kMB4kCTpWKodbHiYZmL9Uhac1aDPNK\nsV+xGaNew4VLs/H4I+yonZybaFq0mILv/S+pmy6Yte+eCWZqm1ANbC4tLX0GWAVkAQP19fXjVzQv\ncEajE5vNiFp9dvqWmcDpnPlI8z8D/pW3/1y2/QOmy3mrawfbe3Zy9eILp/WZHk8fr3e+hUZUc9PS\nq7AZ5m7fL1uTx86tTQx0e9FoVex5S9GnbLykhIxspbJxtts/35AHNbC9e6I1c3ygkaajMpYkPfkl\nKVS11GF2O3jzry1c/xEbBcWO0yxxAqvFCp5reYXlWYvJz0w78wemgYucq9g3VMXBnsM0hupZl7uC\naDzKvu3VpBhsrCpemNB5lWUUc2jwMG6GKHXm8uYrx6mr7uFTX9iITq+mbqCBR2ufpX64Ba1Kwy2L\nr2Vz6SXEwhKtjYOY8+AXex9kV+8+BI3Enas+NqU+7+N3ruOhX+2mrWmYSDBO1gmu7G+31RGRolxQ\nuJr0tGSuTjv9cZUim9CIarxxD8N9PjwjISpX55KXn8IfWhoRELh6w1p+s2MXzccGed81C+nrVloz\nQaOHnkg3K5zls7KvzxUpmy9l5MXn8Ox4m5LbPoQ2WdkvsizT8fijhPr6UPlGKP7cHZNcr4cOKsLs\n/GuuwjR2PD/Z+gwArZ52UlJMiCe8P3rVFXQ//SyjW1+l+MZrEDUza7e7D1Uz8NCfQJYpvOl6TPn5\np3yv0/lRYhEvGt3EpGZHq4vBt1QYUiwcHKpGkiW0Kg1XlG/ApDVypeECXmnbyoGhg6wXHASOHMa6\neBH5F0wYKwfWrqLrb0+i7mohZc2qaa33O8/5wmwru5t70KPcnv/WX8/C8l6KnMq0YNfRWgSNhrwL\nVmPWyDT+7BccLla0d+9feBHOJAvHxkj6ohInOrGfHJXEHuCQu4aavjo0Kg3Xll1JvH0rw22PUbr8\ns2hPkVF6Noglq5BuX09KhhODxcLN75vP6wc6eWl3I5vXp2M0nfwd7+X9bqaE6g8oVantwE6gCjhR\nBGABTv0YOAa3e+6V+U6nhcHBczPe+0fGv/L2n/u2a1jkKKN68AjVrQ1kmU+dFdXl7eGppheodyuj\n4RflbCDmExn0zd2+L5jnYOfWJrZtacDvnZieqtrTzqoLVDPaflnSYNaYiEpR3pd/Mc82v0x97QAq\nnFSuzSW/PJlHxd+ywLOCYGMqf/vTAT72+bXTqgRaSeH2hR+hwJo/a8fk68/XkRZdiNp+jAernsAi\n2egPDBKIBlmTvoLhoQm7gRRREZQf6W4iNZzDzq1NSJLMvt3NbJO2UDukVJQqHOVcX/J+HAZ7YpLS\nkWGBCHxu0e38suYP7Ow4QCAU4eNlH5qSVC1emUNnm5sdWxu4aPNElNPWRiUapNxSNuU+kGWZlvoh\nhga8LF2Vi1anJllnZcA7zNs1DQDMW5ROe08/9UMt5CflEvELLF2Ty66tzbz4ZC2jriAqlUDY4ONQ\ndx1rHWtmZV/PBqyXvo+Bh/9M06NP4rzhRgAifX2E+hSLkoHX3yAiCTg/dCuCIBD3enEdOIguJ4eA\nyU5g0Isn4uXtdoVkBWMhatubJp2bTqcF64YLcG95ldZX3yRp1dlvf3R4iPYf/gTGqp49+2tINp1+\nOleOxRHUE7/pzjcb6W4fpURYQq1amTxclb6MwGicAF5U6ClJLuRofz3HnlFaZSMbl7Pl6K5EuoVQ\nUg48Sc/23UjFZWdc76nOeWeSHtE4Jii3ZHDM28v3t/+Kr676EgZvmEBbO8aFi3F5o8jzK/CmW+nM\n0FKUlIc2bGJw0EtNvTId6LTo6G3bRpZahYjA7k6lff3RBTeRZV/GaCTOaO9b1O35BanFt6LRO5Di\nYeJRLxr9yQ9eUjzMYMtjqNRmUvKvP+k6Mtz+HH5XNQMdO3EU3IBaa6MyZ4g9rXaefukVLtu0+Yzb\nP9s4HWGbactvBbC1vr5+PfA3oAU4VFpaumns71egkK3zOI9/aIy3jM7U9nvo2OPUu5soSS7kE+Uf\n5rriq+Z83SxWPXlFKYwMB4hG4my6ohS1RqT5+OCM234qUcVXV9zFvWu+xmV5F5JuTCXcozx35Ren\n0OHtBgFyFpspKU8jFIgyPOA/w1InsCR1UWIa7VwRDsVoqhugs2GUCx2bGI14+O7eH/PUlrfJbq6g\nRDU5k3J8kq7D08WBnW0J4Xh1bSu1Q0cpSMrlS8vu5NOLb8NhsE/5nQa1ns9VfJLi5AIODdTyZteO\nKd+XU2DDajPQdGyAYEDRyHgiXo67Gsmz5ExpN9HXPcrTfznEa88c5eCuDp7680FGXAFsWhtibxID\nvV7yS1KwpRg55mpEkiXKx2J7Fi3Lwu40cby2j74eDympZtJMTprcLTN2k58pAr4wO7c2EQ6drD1M\nWr8elTWZ0bfeSLSx/LXKUIHjhhvRZmUz8sZWXC88B4B3/16Ix7GsXptYxvau3cSkWEJ31jJ6cnKA\n9QKl8ufZtfOs11+KRul54H4kv5/kSy4FIHgGl3f366/RdNfnElOMsizT1aRM1AldFsS4QrrXZk4Y\nm0bdbjY1iXzoFTfxtnbi5SX8ub6GZ17dnRhC0Ofno7Ja8ddWz9gVPsthQjQqJGNzydWs0RoYjQb5\nfe2jeMbafY3ZS/jKr3bRMhCg/YZ1AKw7IYKssWsUURDIcRoIjBzHqLWSMzbocUH2WlZlKJpIa/pG\nkjMvJh710N/4IAPNj9B1+Ef0HvslIe/kCU9Zlhhqe5Kwr53AyNFEBM84wv5O/K5qVForshxnsPlR\n+hp+x6psxVR0T30MWVbkDm5vmP+4fyev7Z2bFInpYqaEqhH4Qmlp6W7gO8AXgf8A/mvsNS3wxOys\n4nmcx3uHhSkL0Kt0VPVXn5KkDAVddPp6KLOX8oXKz7IsrWLG/kpni8UrlIvaouVZLKjIIK8ohVF3\nENfg9EnOO2HTJ2PWKpNHBYYCDN5kbOl6jGYddS7FoqDQmpcIGO7pPGMxek7Q3+MZLyBQEJzPLfM/\nwHL7MtK7SkkezmLH45288tQRAn6FUBg1BlKNDroHhqk/3EdyihFbihFXVxgxruLWBTdSMI0cOL1a\nx6cX3YZRbeCVtq14IyeP6PujAQqX2IjHZY7VKHqPqv4aZGRWpJ/sDu8ZCfLsI9X093goLHWwsDIT\n93CAJ/9Uhe7tInJaloAAS1cr6zceDF2eokzPiaLIxsuUiBdZknGkmalwlhORotS5Gs5yz54bDld1\nU7u/i+Pv0LmA4kmVfMEmpFBIIUuA/7Bizpq0ei3ZX/xP1A4Hw88+ja+mGs/uXSAIiSpTJB7l7e7d\nGNUGbpx3HQCtUxAqbXo6+sJCAnVHiY1Mz3ZgHENPPUG4rZWktetx3vghRKOR0BlMST07tyOHw/T9\n4XdI0QiDzT0EwzKiFCceg6yhQrLMGRRZ85HjcVyvvkzb17+C8bVdpIzE6Mg28FCRn4z2MtK657Ht\nmKIBFEQRb0Eaca+XUGcHDe4mgrGz01NlOU0IRi/IAllJeUQGVxEfcdDkaeLJrir2WRfwlyYYHAmx\nq66bvd5jGNSGxBTt0EiQ1l4PC/KSIdyOLIUx2sp4f+HlXJy7keuLJ1eJktLWYcu5CikWIORpQqNT\nKnsjPW9MuoaOdG8h5GlC1qcCAu7uLchjA0CyLOHqVLR2jrzrSCv5KKLagByP0t9TRJohSJvbQm+P\nQq62VXfj9s5tePx0MKOWX319/RBTi87fW0XYeZzHLEOr0rDYWc6+voO0ejootOad9J7aMVHpeMDy\nu4nsfBu33rEac5LiP1NY6qT5+CAt9YPMLz91i3K6sI9m4SWEOiOCJEsc7K/FoNYz3z6PoFoJhu3p\nGElMHb6bGBdfA7Q3ubh6xSrsg7m8JdVTviSTwQEvrQ1DqNQil16ttEtyLdn0HZaRZVixPp+u3kHc\n+wKURBaSfhY2DiaNkSsLLuWJxud4qXULN5UqN/d2Tydvde2kqr8GlaAiLW0BRw5pEYs8vDgWil2Z\nerIgv61xGCkus/biIipWKMLrtCwr216uRxBFhlLbuXzdctKzrIqpous4Fo15kt1CRk4ypQvTqD/S\njzPdQr5zIa+1v0n1wOF39dgcnzbsbHUljEdPRNL6DQw//yyjb2/DsmIlgYbj6HLzUI9pqjL/7fN0\nfu+79P7mV8jhEMbyhYm/7ek9gC/q57K8C8lLykav0k9JqACS1qwj1NKCZ+8e7JdfMa119x89wsiW\nV9Gkp5P64Y8giCL6wmICR2qJjY6itp4sDY4ODxHu7ASVikhvD8NPPcmxtjCQzzzaqZfzyOzI4dpr\nVuM7WIXrhecId3agMltI+eDNvJrcz9vuQ6QMZaCSlFty4+FBpCUS7tAIuwz9XAJUH36Dh4zHWepc\nNCmG6UxwJOsQjV7U0SRERGo7zcjxcmTjbqoz3YRHV2MVtARCMQ67qwk4/Lwv76KE1cuBeqXStmJB\nGsHRgwAYrPNZYM5lQcrUkVMWxzJ0pmxEUYtaZ2Ow9W8ER44R9DRgtJbiGdiLd3AvKp2Dnw90sd6g\nYzEjeAf3Ykldjad/N9FgHyb7YnRm5SEiY/4d7N/eQHPzKGlJAfqDAm8daOTG9GK21fRg0KnZuCQL\nr2dm3oGzgfNeUedxHmfA8jGj0FO1/aoHjyIgsMh5Zo3DXODESJHcQjsqtUhz/dQGfmeLSK9yUXVb\nu2kZbccdHqHCuRCNqE5kw/V2jpzTZOFM0TtGqGwpRno6RggFo9QfUbQ4F///9t47MI7zPPf9zXZg\nd7ENwKIXogwIEADB3kWqi1ShiiVZkm3JdtyinOM4TnKT4yQ358bOzbmxHZfEiRM7loss2WqWZElU\nYRN7J0GUIUj03oFF3Tb3j1ksCAJgJ0GT3+8vYGfLN/PN7jzzvu/3vJvm88inFuFJtHKmqpOBSL2m\nN5CKoyeFGJeOnIIEOh3axThhcLpQvhDrUlfijU1gV+t+9rQe5HtH/oP/c+gHHGg/QnyMG52koynz\nOCfStvGfJ39BMBzgmYJPzJjybKzVVujlFEyKuvwiL59+fiVFn7DSllVB0K7tQ/NQKz7/EIUeeVok\ndM1dedz38ALyi7xk2NNwW1yUd1ddsvXH2RzqOMae1oPUDTQwFjx/FCDgD9LVpqWXWpsGoitQz8bo\n9mAtLmG0ro7DL2+l2ZpDT9YSeiP1bpaMTLyffhZ1XIvExK3U0n0tQ228fvptzHoTt6WtQifpyHZk\n0DnazZB/ekTWvnS5Zgy5d89F7WfQN0j7T/8T9HqSv/BldGbtJmWiF+FY7cxRqqGIrUH8I49hTPTS\n98EWOoe0FN+SLz9Jiq6XYdVCBnV43AAAIABJREFU1d/+C20/+iHjTY3ErV5L1j/8I84Nt7Mu/3aS\nrV7yh7XfGckYJqYjnpMd1bxVu4XGRE1kne7UopJHu8ovqXl773gfkj6E32fjZG0vgyNBls+L406T\nFUlSic07xpc2GcmMH2fIXo1BMrD+rJ6XB6o60EkSZXnxjA6cQqePwWy98A2UKcaLwawVjTuT1gMw\n0LodX/ch+lu2oDfY6HCU4gv52TrsQ9WZGWjfSUv5dxho24qkM2OwrWHHewr7tp+h6kQ/xw4O4HDH\ncN/ti9BLYY43wtGaLgaG/KxakITFPLftiYWgEgguQIErF5vRypGO49N8fQb9PmoH6pnnyCTONPer\nKU1mAxnZbvq6R+hqv7LizIA/SGfjEIHYYc4EazgcEZRLEietCFIynIyNBq8oxXg5hEJhOlsHcSdY\nyV/gRVW1VFNb0wApGU6c7ljNTX1lJqoKR/Y2EgqF6T1oQEKiPb2KpqEWDg8fxB8zjK8lTMA/s+hQ\nVZVgcLow0Ov0PJy7ibAa5lfVv+VU/xnmu/N5vvTzfGP5n/HXy75KRmw6o7YBLOM2vlrylWitydkE\n/CFaGvvxJFqx2ac6XZstRuKtE9YJWuqqontquu9sTGYDS9dkYzDqkSSJhQkLGAuNofTWXNoBjtDk\na+W/K17kV9W/5Z8P/yvf2POt817M25oHCIdV9HqJUDAcFb3tzQP89/d20xqJXjnWrafLms6hNitK\n4ir2t9p59YXD+CMu2HErV+PeeD/mzCxsZYsZDozw4xMv4A8H+PT8J3CatUhRdqRNVN3g9CiV3mbD\nVrIQf3MT402NF9zXrt+8RGhggPhHHsOSMSmwJ8wlZ+tFOOETZV+2gqTnPkdY0tEXk4TDacbuimXJ\nw1pN0inHQgKrNpL5998k6bnPobdplirJVi9/nPslfB1B0rJcZC/wYAiZ2HJgPwc7juLwpjNo09Ov\nTkZetjRo1geqqnKk8wTtw7O3Pppw4w8O2Xlzdz0AS2wGyjp7WWUxEjaN8kbTG1jcFejMY+TGFkft\nXjr7R6lv91GY5cJEN6HgEDGOPKRLLGkwxiQQ6yohMNZBX9M76AyxJOZ+ioM92jEdV6HekIgaDiBJ\nemwJy7AlP8VbL9dQeayNo/ua+PiDGlQVbrsnn3zZS6ZjhK7hGH67Vfs+rC+b2cvteiIElUBwAfQ6\nPWWJJfgCQ1T3Tb0wlXdVoqJSOgfpvtmYJ2uraX70/23nP7+9k9d+fuSSm/eqqkrF0TZCIRVzagif\nf4h9bYewGa1RPymAlPRIHVXkQnl4TwM73pu5FczVpLtjiGAwTHKag+xIO5gje7SLqrxg0pJhnpyA\n0x3DqZMd7PqgBl9PAEuWnybLGf7PwR8wFBzGlWkkFAzTcKZ3ymeEgmGqT7Txm58e4iff3UVfz3TR\nuMAzn9vSVrMosYS/WPInPL/w88z35KOTdHhi3Hx92Ve4U7eJ7PJVNB+eORXR3NBHOKSSmTPzKrJz\n289U9FQjITHfnXfB4zRRB3O0q/yCz52JIxEX+tvSVrMmZTmjwVF+rbw2zYdrgonzYMFiLYLRVKsd\n04O76qdEEK3FJfRFGmPn+k6SnR9PMBCOvh60iE/m3/zfYDLys4pf0z3Wyz2Zt0dXwAHMc2QBMxem\nA9gj0a0LFaerqsrIyZMY3G5cd90zZZslex5I0oyF6aGRYUZOKZizsjG6XMTk5WP5/J8R0hlJm6fN\nZ0p+CvlFCQwZnezsTGTLzq5oXd8E1Se04zK/NJnlSyPz2qTdoD2cu4mxzCS6nAYMkp5UWzKHO47T\nOtTOL6p+w09O/pJ/PPgvfNS4c8Z5aR7SBJU6YqeubZBEpwXbh68R+LiP9fYU8k1mGoMh6mztqKqE\npT83+tpD1ZpQWzo/kdEB7Xsd45DPeyxnw5G8DtAh6S0k5jxDwGCjsqeapNhEYgwxvN/fStL850lZ\n8FUMttv4/SvN+AbHWbomiwc/WcqKDfO4fVMBqZkuJEmiMNKkvHswSH6aA3/faHQByFwhBJVAcBGs\nSl4KwBun35kSpTrWrdVP3ViCKoGCkiSycj3EWk10tA5ScXS6waOqqhz4uI6muqlCYmw0wAe/q2Tv\ntjMYTXqyC7QVb/5wgLKI8/gEqZmThekNZ3o4sLOOymNt1/yHbaJ+KinNgcsTi9MTSzisYjDqmCdP\nrqDT6STKVmQQDqtUHmvDajfx1Obb+WKkqFwn6VixSIv07N9Ri29ASzN1tft48cf72faOQm/XMOGQ\nSn3NdIdvSZJ4PP8hPrfgGTLjptcL6XV6HlizBrfTTvnhlhl7/TVGDDkzZhNUZzVIbhhson6wkRxn\nFrHG2BmffzZZcek4THGc6Kq4ZNf0ieiHSW9ic85GPlnwKAsTiqkdqGdf26EZX9PS0I9OJ7FoZQYG\ng07zYmr30VyvRdea6npRVRVJr6c/LgN92E9htonSyOKKxnPORYAz/XVU9ioUuPK4f97dU/fPkY6E\nNGsdlbW4BJ3NxsCuned1aA/29RLyDWLJnjfFAwtAZ7FgTs9gvL6OcCAwZdtw+QkIhbAtnFxo0BXQ\nFnSkndW77o4Hinj4U2WkZbloaejn4/cnb8xCoTDKyXbMFgNZeR6c7lisXgmbL57CttWUvzFAnWkN\nvQ49znE9G7PuREXlnw//kP3th0kc0WMaDfDa6bf5ix99hQFlqqHshKAKj2oCrTjYRrCrC+faDaQU\nf4UvLP9fpFiTCANqbxK19ZNF7weqOtDrJBblJzA6UAOSHot9erP53rE+AqHAtMcBwmqYRl8zR/vq\nqbEVMZZ8L6bYJI53nSSohliatIiS+EL6xwdoGfchSTo++F0lvsFxlq3LZsmaLFIzXZQtz0AunjQT\nXrdiITGROs5w2wDvvXqS19+5vNZGVwshqASCiyAjLo3VKctpHW7nw0bNgXkoMMypXs0DZ7Zl9nOB\nwahnw8YCPv3lVTz27GJMZj1H9zdNS2nVnerm8O4Gdn84eecdCoV57RdHOFPdRVJaHI9/dgnzMyZ/\nQBefU1Btd1iw2s20NPSz/Z3JyFR3x7VtTjuRSkqOdLLPzteicvPyEzCdU0eRV+TFHinav+1eGbPF\nQElCEX+z4uv8X0v/J/kZGSxenclg/xi/e/EYlcdaeeNXRxkaHKdkSRqPfkZr4jwhCi4Vg0HP+nu1\nu/rt7yoEzqorUlWVxtpezBYD3pTpKWNVVTHpjdiNNnpGe3lJeQ0VlU3Zd0977kzoJB0LE4sZCY5y\nqv/MjM9pHWrneNd0V/emoRa6R3so9syPFig/lvcAZr2JN06/M211o388SFe7j8RkO5YYI8kZTvq6\nR9izVftce5yZYZ+fvp4RfANjDAX0xBtH8dx1N4kpcZjM+mhE62wORaJkd2Wun1YzFmOIIdnqpWGw\naUbBqDMaSXjkE4RHR+n4+Quz1vqN1dcDYMnKnnG7JScXNRhkvHGqcJtI950tqJrr+5CkyZuNCZJS\nHdz/RAlJqXHUKl1RZ/tj+5sYHQ6QX+SNGl0vi0SpdE0OujuH6FBHUXUSzq5hiuMLSbEmMR7yI4c9\nPPZWG5/+OEB2r45Gj8TWN/6VoaOHo5/b4mvFYXJA0ARA7sltmDMy8Ty4GUmSiDFa+FLJc6zzlpDs\nS6KjL0D/0DiNHT4aO4YoynZj1o0QGG3HYstCp5+alq7ureHv9v4Tvzn1xpTHw2qYwx3H+eb+7/BP\nB7/PC5Uv8VrTXr5/8kUOth+N9uBc4i2lLBJ1PNJ5gmHfOJ1tPtKyXCxeNXttY3yik8Up/eR4+shw\nd9OdeoassrktuxCCSiC4SDbn3IfdZOPd+g/Z33aYfzr4fYJqaEpN0Y2G2WKkZEkaYyMBTh6Z7Pun\nqiqHIvUUfT0j0Rqo5ro+BnpHyStM5KGnyohzxpBqS8JqiMVldpLjzJry/pIkkZrhZHwsyMiwP9o8\n+FoKKlVVaWsewBZnxu6wAFC0MIW0LBcLV8wQJdLruOeRBdz1UOGUtJrdZIsaQi5bq90J+wbG2PHe\nKVDhnoeLWH1nLonJcbgTrLQ1D8xYS3UxpGQ4KVqUQm/XMNvfmWwP1Ns1zNDgOOnz3FPcvgGGfOP8\n4t/2sW9HLS6Lk+6xXhp9LSSNZNJ9Ce3dyiLR06Od09N+qqry04pf8ePyF+genSpmjnRodgaLzmoT\n5LI4uX/ePQwHR3il6u0pz29rGkBVISUiJNKztAhNa2M/7gQri1dnAVoasKVBE6e5GxZjycxCr9eR\nmulisH+Mgb7J1GgoHOJo5wnsJtuUVPPZZDsy8IcD0UjMucStXUdsYREjJ0/Mmvobr68DZhdUMbma\nwBmtmbSgCPh8bAkrtOZrLWK0Y9BPR8sACcl2zJbpDu2SJLHunnwkCT5+v4aj+xo5sLMOW5yZhcsn\nz125KJnb7y/gwU+WsuauXEat2g1ERtMoLb42Pl/8KT6Z8xD3vdOC2Wih8K//gc8/8FfokDiWF0PL\nv/2QwX178PmHGPD7SLen4NYHyB5uISktgbQ/+wv0sZNNmT0xLh4vfIo8t3Z+769o54evaefLbQtT\nGB3Q9jvGMXVV38C4j59V/pqwGuZA+xEG/Vrdpj8U4NuH/42fVvyKztFulnrLeCJ/M58pfBKz3sQL\nlS9pnmxx6cTHeChw52PRWzjaWR6NmGfMO/9N6lhwnOHUej61pILCRQ18+bHNrMpZdN7XXGuEoBII\nLpJYYyyfyHuQQDjIz6tepm+sn3szb+eOjHVzPbTzUrI0DZPZwNF9jdGi3/qabno6h7HatbvW05Fa\niYkal5Klaeh02spBnaTjT8q+wPMLPzejv9aEH1VymoMNG7VIzLUUVAN9o4yNBEhKm1zCbndYeODJ\nUjwJM/dOTEiykzv//LYIS9dksXLDPBKSbGx+pmxK6jAt00UoGKajZXrK7mJZfUcuSWkOTld1cWRv\nI13tPrZH6s0Sk6beWauqyvZ3FYZ941SfaIvWUZl1ZhxKLlXHWwlfpNFjjjMbu9HG8a6T02psagca\noo2lj51VZzWR7jPrTRS6p9bMlNnKMI1aOdx1jK7BSRHW0qiJpIlWO+lnXRAXLk+P/t9U1xuN9p2d\nFkvPdhPWBflN5Zs0DGrO4dV9pxkOjLAosWRWb7f8SAP06lkK7yVJwvuZ55DMFrpefpFg/3TftLGI\noDJnzBwRiZVlJIOB3rffZKyhHjUYZP8vv8tB2cy+RXFIksTQ4BhbIv0bV9w2PS02gSfRRumydHwD\nY+zbXkuszcQDT5Zii7NMGbO8IInUTBepGa6ooErrCnDixFa8sQkUKUOog4M477gLvc2G0+xgefoi\nup162lKtdL70Ik299QAkBSw8e+q3PGU8Q9rXvo7eap02LknSUZilfUde3naG7oExHlqVSrb1JANt\n24Gpgiqshnmh8tf4/ENkx2UQVEPsbtG8xbY27aR+sJEFnvn8zfKv82zRJ1mXtoplSYv4H2VfINYQ\ng4rKkohxslFnoCShkL7xfqprtPKEtOzzt655u3YL1aEefPo44hklTp17HyohqASCS2BRYilLvWWk\n2pL52uKv8EDOvTO2HrmRMFuMlC5LY3wsyNbfV+MbGOPQbi11ce8jCzAYNHf18bEA9TXduDyxJJxz\ngU+3p5Bknbn/Xl5hIsvWZnHXQ4XEOWMwmfV0d147QTVRuJycesF2oZfMwuUZPPbskmn7n5qliYTm\nhstL+0EkUvZwEbY4Mwd21vHKzw7T2ard0R/4uI7qE23RyFXVibZo+mt0OIA1pI2nVF2KMWDGPx6i\ns+3iVnHqJB2lCUUMBYY53V83Zduu1n3Rv4+dFcFq9DXTM9ZLcXxhNN03gXKiE09HFqouzEt7NPPF\nUChMU10fOp2ENzIvLk8sDncMdoeF3PmJ2Oxm3AlWWpsGaK7vI9ZqwhU/WQeWnu2iO6mOY+OH+dGJ\n/2bQ74uuLE0YyohaX5xLgTsfCSlqOjsTRk888Y88SnhkhP7tH03ZpqoqY/X1GBO9MwoNAIPTRdLn\nvkB4fJyWf/k2bT/+EeU6zZqkRTfM0NgIW16vYHQ4wKo7cknNPL8YWLI6izinBUuskQeeLMXpnr0e\nzhUfy5htAH3IgNMXQt2+h5bak/RueQfJbJlSRH9f3noAKlalExweYlf5FgDsJ2oxqUGSn/zklMjU\nueTlFGLSazddS7MGWWj7DYMdWtMTV+o9GEyT37nf132A0nea4vj5PL/w81j0Fj5u2UvfWD/vN2zD\nZrTybNGTJMZObTmTYU/jTxd/mfuy7mR1ymR/wmXeRaBCW8MAsTYT7vjZx1k/2Mj25t0kxsaTmbER\ngIGOS3fFv9rMrWmDQPAHhiRJPFv0ybkexiVTsiSNulPd1J3qpr6mG1WF3PmJJCbHkZHjoVbp4uDH\n9YRCKvkLvBfVm28Cg1EfTeeAdgfe1jRAwB/CaLr6YrOmUoumZeRcv7q1lHQnkqTVxyyPBCSDgRAG\n46XtX6zVxH2PLuC91ypwOGNobujD4Y5hdNjPtncUju5rJD3bTXV5OyazniWrs9iz9QwZPhm5MIsz\n7wQYIeJHVd9H0kWKyoWJxexq3c+xrvJo6mw4MMKRzhMkxsbjMMVR019L31g/LouTg+1aTvFcE9JQ\nKEz18Ta8aiZdoRpqpCqOHKinrrqHluFWMnITMUaOiSRJbH66DEnSxCRooqm3a5jRYJi8okRUVCS0\nc02NCdKdUguqhM8/xAsVL1E/2EicPo6q9wcYzT3DxseKORebyUpGXBq1Aw0RF/GpYviVGq2NzebV\nd9H92qsM7tmD58GHo8Xnge4uwiPDWBecf2GJfekyQsNDdP7y5wwcO8zpR7VoTpgwHx44SGebirzA\nS/HiCy/fN5r0fOK5JQDTav7OZSw0xrhlGOuAB79zHLmhh+Fv/TMA7o33R+0XAOT4HNJtKVQPtTG6\nwU2dvoMkg4vk/Qox+TKx+edfoRdjS+XOgp10+8Lck1+PxZaG1V1CrLsEnW5SWG9t+pj36j/CY3Hx\nzPzHsRgsrEpZytamj/n+sR8zHvKzOWcjMYaYGT8n2eqdtsCgwJ1Hjl4Gvx5ntmnW36BQOMSL1a+i\novKU/ChWxzx8McmM9lcxNtwFWGZ83fVARKgEglsAk9nAo59ZzO2bCrDFWdAbdCxeraU3cudrqa3y\nw1qoPb9o5kjUxRLv1X7ge7qufpRqyDdOa2M/SWkO4pwz/1hfC0xmA96UOLrafIyPBdm3o5affHcX\n5YeaL/m94r12nvnyCnILtQty0cIUHv/sUnIKEhjyjVN+uIWAP8SaO/MoKElGp5PorB2lIHY+vZ0j\nJCZrgqG57uKjZfnOHKyGWI51Tqb99rcfJhgOsjplOYsi9grHuk7SMdLFxy17cZodFLqn1szU13Qz\nOhKgsCiNVcnLCBn9vHviYyrCxzizYDdVKVOjBLFWEzGxpuj/6dmTIlhN9vEXH/89vzn1BsFwkHfr\nPySsC5HcUEhO7Dyq+2oYC43j6k9BQqKloY9QcOY0Z6E7n7Aa5lTfVGuD9uFOtjXtYlvTLl5rfB/T\nomUEe3sYPTUZzRqPFKSbM7MueByd628n4cmnaV+Sw5iRaA1eVc9pdHqJNXflXfTNiMlsuKCYAmgc\n1L6XMcMOrJ/9OpV3yLR7DITdDlx33zvluZIkcVvaasKo1CUZSO3w8/AbjRhD4HngoQt+liRJbL5n\nE88+uJbMhX+JN/85bPGLp4ipHaf38e7hXSQNZvOU92lsRi2SdFvaKiQkOke68cYmTok+zcTIsH/K\nIgFJkihRNZ+2epOCqqr0jPbybt2HU4xbK3sVWobaWJG0hDxXDpIk4fBqXl+9bZdQXHgNEBEqgeAW\nQaeTkIuTyC1MxD8ejF7oMuZ5MBh1BANhUjOdU2o5Lod4r3bB7+4YuugIysVyulKr98kvuvg2MVeL\n1EwX7S2DvP9GRbQGaNeHp0GC4sWX3nqn7lQ3AFl58dgdFu7eXBQ1wxwfCzJPjkeSJJLSHLQ29lNd\nrtW35UUEb0frIP7x4EVdlPU6PcUJhexrO0T9YCPZcZnsatmPQdKzImkJITXEb079jmNd5VT0VBNU\nQzyW9yDGc9J9FUe1wu/CsmSKbAns6txDe1YlYZ1WzNw+0knHcCfec9r4qKpK23AHiamak/+YNMwH\nI9sZDY6yo3kP9QNNNA214DK4cXelk9pmpyuhi0G/D0ODljIKBrRjk5Y1PZ1W6JF5t/4jKnsU7mRl\n9PE9bQcAbTXgjubdVBnz2GBPwbZ3N7EFWvPssQsUpJ+L6867qK/ogo5jfCLvQX5w7L/o0bdTnLHk\noubiUmn0aaI9ZthBZ9coazZ/gf8n6dvYx10srzxCVkwWOfOSiLVq3+cl3oXsbt2Px+hgxeu70Y+O\nYcnNI6Zg/vk+JorB5MBgcjAWHOeD+i0s9S6MpvsPnDpJxWsjzIsc423VtbDJREFxEvExHorjCznR\nXcHDuRtnLYVQVZWP36+h4mgrVruZ1EwneYVeMua5GYl4xp4xVPHL6t9yuOM4gXCA0eAYj+RpPQOr\nIr0pVyQvib5njHM+7owH8KQsYPD6egxPQUSoBIJbDL1eNyVqYDTpo6vf8hckzfayiyY+UYtQXYvC\n9JrKTnQ6aUqLluvFxIW8ub4vUgRfQqzVxK4PTrPrwxrqT3czMnRxhbEBf5Dm+l7cCVYcrslIm96g\nIy3LRU5BQjTSkRlJbR7d1xj530NalotwWL2kxtRlCVq67P2GbXzv6H/QMdLJwsRibCYrDnMc2Y5M\nTvfXUdV7igJX3rT+f/29I7Q09JOS7sDlseI0O1jkLSGsC5FuS+GBeVotz4nuymmfva3pY7554Dv8\n89EfkrBYpbPkJMPBER7O3cTixFIafE2E1TCPyBtJTnXSqgyzPnQfJYMriRmJY+maLAAaZ7BVAMi0\npxNjiKGq91Q06hEKhzjQdgSrIZY/L3sesz+WzrQaXn4gyDczT/HNfd+mpq9WE1SSREW7gVdfOMy+\nHbXnbac0HvJzoquC+BgPuc55JOq9jFoH8GbPvCDiSuge7eVAe6R/3rCDjpZBPBY3y9rvJfXYUpq3\nhtn1+1refudg9DVGvZGvL3me50o/RcIdd4MkEf/Qw5eUxgfY2byH9+o/4ntHf0zPaC+9Y31s230C\nCR3phXZWbsjBbDGw410leoPxVMGjPF/6eYrjZ27DFQ6rbHtHoeJoK/Y4M6FgmFMnO/j9b06w5fUK\n2poHiIs3EzYG2Nd2CLPehFFnpLxn8pyq6j2FWW+a0shckiRsnjLMsXNrXyMiVAKBgGXrsnG6Y8m7\nwEq4i8EVH4tOL10VQaWqKr6BMewOC/09I3R3DJGZ48ESM31J+rXGmxKH2WLAYNTx4CdLiXPG8OBT\npbz56+OUH2qh/JCWmrn/iZIpqa2ZaKztIxRSyc6LP+/zQBNQe7fVEgyEcXpicbhiSMtycWRvI811\nfWTlXvg9AGR3Hha9hfLuKgAK3TKbczZGt5claqadeknP4/kPTbsAVxyZiE5NNmT+RN5D5DiyWJa0\nmEA4wNu171PeXcldmeujz+kc6ebN2vcw6Yy0DrfTyu9BD0u9ZdyRrhWk5bty6B8fpCyxmPmPBHjt\n50eo3TsEuEjJcLJwRTpH9zXSWNvDqtun2yfodXoKXLkc7SqnzdeBESvlPVX4AkNsSFtDa8UoGVVL\n6UytQTX6sY230pbYwb8c/XeKPH5uS03j6MFWQsEwnW0+ju5tZNXtOdHmzgPjg9QPNjESGKFpqBV/\nOMBS70LtQj4UD5ZWQomXvwL0XFRVZXfrfl49/Tb+kJ/lSYsxxnnobBuk4mgrgw1h3Imx4B2h+2SI\n9o7hGQWg58HNOFavxZiQMMOnzE5YDbOrdR86Sceg38cPj/8XMVixdskYrbDx/kXodBKJyXbeeuk4\nW14/ycPPLMKdYJu1YbKqqmx7p5pTJztITLaz6fESzBYDnW0+9nx0mtpI/9F5OYkk52yid6yfe7Pv\n4NfVr2qp6OFODDoDnSPdFMfPx6C78eTLjTcigUBw3XG6Y1m27uJSHhdCr9fhjrfS2zVEKBSOFiRf\nKuGwyta3q6ip7MSbGkdsJKqWNwfpPtCiR489uxijSR+N8Lk8Vp78/DLamwdobujjxMFm6k51X1BQ\n1ddo6b4JQ9Lz4fTEYndY8A2MRaNVSakODEbdJZmNGnUGNufex5n+Bjakr57m7L4osYQt9VvZkL52\nWspubDRA5fFWrHbTFDsJm8nKujStvYsFM/McmdQONODzD2E32QirYV6sfoVAOMhzRU8RH+PmtRrN\nv+qTBY9GRdua1BXR94yJNbHxE8W89vMj+MdDLF6VgcGgJyXDSWNtL0ODYzOmpQs9Mke7yjnWXslS\n11L2tGrpvsXuMrb+vp44yUGB4U7qlG6WNr2FP1Xlg4UmKrJgzGEnpibM4lWZeBJt0bSuP6Obt2q3\n0DM2NTImIbHEW0YoFEZttkIutASagbJp47pU+scH+FXVK1T2KsQYLHym8EmWesvY0XCKqu42dn1Q\ng9liYNNjJdjiLPx7w/uoQ2YaB5tJTJwaGZJ0uksWUwCVPQo9Y32sSl6G1RjLB43bcXXGYA8bWFiW\nFbVUSclwsmFTAR+9VcVbLx9n89NlUyKuZ9PS0B8VU/c/UYrZoskPb0ocm58po+JoKzUVHcwvTcbp\nnhTNC+ILOdZ1kvKeKiwRU9H57strf3OtEYJKIBBcdeK9Nro7hjhT1UnV8TZGRwI88ulF02pMVFWl\n/FAL3tQ4vJHeXBOP79xyiprKTmJtpqj/k9GkJ+siojrXipkK4c0WA5m5HtKyXVQea6Wl8fxpuFAo\nTP3pHmxx5mgB//mQJIns/HhOHGyORrT0Bh0p6bMLjP7eEepqukHVRNvEsvy1qStZm7py2mcAOM0O\n/t81fztjaqj8cAvBQJhla9PPK5CL4ws5M1DPyZ5qViYvYXfrfmr6aymJL2JxYimSJPG1xV+54D67\nPFY2P11Gd+dQ1IIgY56Nzg7lAAAYD0lEQVSbxtpeGut6KSxNmfaa+ZEC+t9W/J4qdy2VPQqZcem0\nHh/HPx5i1e052OLM1J3qZnDeEtKqtvB4Hfz6PjdnnN3kWgcoLEvBZtcMYzvbBjnacIC+8X4KXQWM\n15twxzqR5yeT7EwgyZpIc30fpr44dKqOU30zO9FfCse7TvKLqt8yGhxlvjufpwsei3qQJaXGUXW8\nTWsQfK8cnXO3x0bPoJ+DDeUsyZ051XapfNyi2WmsTVtBui2VUDhMR7URSdL6DZ5NfpGX0RE/ez46\nw1u/PsZDT5dFDXcnUFWV/TtrAVh3T35UTE0gSRILFqWyYNH0FZILPAVISJzoqow2bb6YPpZzgRBU\nAoHgqjMhFD56uzr6WNXxtmgKZYKG0z3s/ug0lhgjj392CVa7GVVV2fPRGaqOtxHvtfHgJ0sZ9vk5\neaSFhCR7dFn+jYZeryM53UlTbS8jQ+PE2swzPu/EwWb840HkS7CnWLY2i6xcD8npk+1MJgRGTWUn\nZSu0epK+nhFe+/mRKT0D922vJd5r4+7NRbNGDyaYaTwBf4jyQ82YLQYKFybP8KpJShKKeOPMO5R3\nVaCXdPzm1O+IMVh4Qt58yTU8nkQbnsRJwRk1Bq2dWVC5LE4eyrmP7S272d+utV7Jk+Zz4mAzdoeF\nBYtSCQZDSBL0J+Rz2xcfIDw6ysZWhV/0vElP/imstgcB8KbYqa5ppm24HdmVyz2W+/lAqWQUqKoa\nJe42A8EFIRrP9KBT9aTGpNI81MyQfxibaXb/pLPZ23aIseAY69NWI0kSzb5WflrxIjoknpQfZk3K\niinHLDXThU4vUVCSTE7BZNQpI8lLT10TVU31s9Z9XQo9o31U9FSTGZdOhl1bbLHWvo5XB4+QlReP\n1T79vC5dmk4wEObAzjreeuk4j35m8RTR1HCmh85WH9n58dM83i6E3WQj25FB7UA9Zr0Jj8VFQszc\n3VSdD1GULhAIrjoTvk0Odwx3PVSIwajj+MFmQqHJZe+qqnJwVz2gpZQ+eruKcDjM7g9Pc+JQMy5P\nLPc/UYLZYsSdYGXdPfnT7o5vNCZcwlubBmbc3lzfx/4dtVjtJhadp0/ZuRhNhmlmkfkLkjCa9Jw4\nNHlcd39YQ0frIJk5HjZslNmwqUAzzOwY4sjeyT50oWCYI3sbaG+ZeZz+8SDtLQP4x4NUHW9jfCxI\n8eJUjKbz34N7YxPwxiZQ3lPFC5UvYdab+WLxszjNV77a0+GKIc5pobm+b8p5dDZ3Z27gPx78R/58\nyfM84H2Azq0GjCY99zxchN6gw2wxkpTqoKPVR0BvxpiQgNqbjL3XS5+xiyOR/nKJyXEM27U0X74r\nJ9oqp6gshXBYi56+8MM9VJe3YzDqWJxSjIrKO/UfXNS+DIwP8mL1K7xS8yav1rzFWHCMn1T8kmA4\nyGcXPM3a1JXTBKjdYeHZP1nFurunRmfc8Zro9A+q1PRMNW69HHa37kdFZVXiCra9U82bvz7Ge69p\nDvDzzyOoF6/KpHRZOgN9o+zbPhmtU1WVgzvrAVi6NuuyxlQcX4iKylhoXDNyvURxfr0QgkogEFx1\nPIk2nv7SCp743FJy5ycyvySZYd941JQToP50D90dQ+QUJJCZ66GloZ9X/vsw5YdbcCdYefCphVNW\nI/4hMNGGZ6a0n29gjA9+V4kkSdy9uSi6zP1yMVsMFJYmMzLkp6aig+b6Pprq+sjOi2fjJ4opKEmm\noDiJTY+XYIszU6t0RXsRVp1oY/+OOl7/xVG2vVPN6Ig/+r6qqvLuqyd5/RdH+cl3d7F3+xkMRh3F\nSy7OGqIkvoiwGsZldvK1RV8mzzV7G5ZLQZIk0ue58Y+HpkTgzkUn6Yjze2h5XwJV4p6Hi6ZERSYM\nYZvqegmHwygn28nsXIBe0vP66XcIhUN4U+IYjtOaF+e7crTUnlnPmrvyePKPlrFoZQZGo57xsSAZ\n89ysz1iDNzaRnc17qR2ov+C+7GrdT1gNY9Gb2da8i28d+C6dI93ckb5u1hVyoHU9OFdMuDxaOtc8\namVP46ELfvb58If87G7dT6whBs9gKtUn2mlp6Mc/HiQ923XB2sDlt2XjTrBSeawt2tGg4kgr3Z1D\n5BUmztoa6kKcfUzO9Ua7kRCCSiAQXBPsDku03qZ0WTqSBMf2N6KqqtacORKdWrImiw0bZaw2Ez1d\nw9E035UKjrkgIcmG0aSn9ZwWNf29I7z18nHGRgOsuSv3qvlzTfRcPHagif07tBqVOzZN9RuSJInc\n+Yn4x0M0nO5FVVVOHm5Bp5PwJFipPtHOy/91MNogu+JoK62N/cR7baRkODGZ9CxakXHRKyvvzLyN\njdl38fUlf0yK7cptOM4mI3sy7TcboyN+3n2lHP94kA0b5WkiIGOeZhFyeE8DL/7HAUaHAyzIzWZ1\nynL6xvsp76ki3mtjOK4HfdiAKxzPYP8YKRlOdDoJm93M8tvm8cxXVrD5mTJuu1fGqDPwdMFjqKj8\nqkorwp+NYDjIrpZ9xBgs/NWyr5Jk9dIz1kdmXDoP5tw76+tmw+nW0rgx43HsbT4yrV/jpbCv7RBD\ngWHWpa6kv0trUv3Ak6V8/mtruf+J0mgx+mzo9TrW36cVjG9/T2H7uwoff1CDyay/7OgUQFJsIgkx\nHnSSjnxX7mW/z7VG1FAJBIJrjt1hIa/Qy6mKDrb+vhpJ0mwVcucnRnt23fdYMaerOlm0MgOz5frb\nIlwNdDodyWkOGmt7GR4ax2oz01TXy/tvVOIfD1K2IoPChdPrfy4XW5yFnPkJ1FRokb+cggRS0p10\ndU3t85dX6OXY/iZqKjswWwz09YyQV5TI7ZsKOH6gmX3ba3nrpePc8UAB+7bXYjIb2PiJYqyz1IGd\nd0xGK5uy77oq+3cuqZlOdHqJxtpels/QgDgcDvPKzw8z2D/GolUZM/qqeRKtWO1m+rpHMBh15C/w\nsnRtNr2hOHa27GFXyz6y4zIYjxnGNpBAS12kMfE5hqITcz1BjjOLdakr2dmylx+Xv0BJfBH5rhy8\nsVNX2R3rOsmg38eG9DXEx3j4atkX2dWyj5UpSy/LCsBoMmC1m5D8DmpHBzjYfpTlyYtnfX51bw17\n2w6yOWdjtOAdNKuEjxp3YtAZuC19NTsPaQI9IenSokrelDiKF6dSfriFgd5RPInWSP3e7P0KL4Qk\nSTxX9BQ+/xCxxuvXIeFSEYJKIBBcFxauSOd0VSenTmpu5zqdxJLVk3VECUn2Sy5YvRGZWN7f2tjP\n6HCAPVtPI+kkbt9UgFx8dSM2AAuXpVNT0YkkwdK1M1tfeBKtuOJjaTjTg39ci54sWJSKTqejbEUG\nBqOOXR+c5q2XTgCwYVPBZYmpa43RZCA5zUFLQ3+08L+teYBDu+oxmQ0E/EGa6vrIzPWwbJZjIUkS\n9z26gMH+UTLmeaL9JlNIIseRRVXvKfa0akaZ1gE3JyLthdIu0PAY4MGc+zjdX0dlj0Jlj4JO0vF8\n6eeR3ZNRlR3NewBYF1ltaTfZuC/7zss/KGi2J8MNfixYeO302yyIn4/VOFXAhNUw7zds5+3aLVo9\nUnCcL5c+F91+rOsk3WO9rElZTpzJTnfnELY482Xd3Cy/LZu+nhFcnlhWrJ93yT0vZ+Jcm48bESGo\nBALBdcGTYOOpLy5nbDRAOKwSE2u8rv34rhepmdpd/64PTzM2EiDGauTeRxZc9TY8E8R77Sxdk4XZ\nYojW05yLJEnkF3nZv6OOloZ+EpJsU2wqihenEQyG2betlowcN/KCK+vneC3JmOempaGfpro+8hd4\n2fVBzRQT2YQkO3c+MP+8hcuzifc1qSs4M1DPe/UfAmD1eRgYHiXWZsI5y7E9m4k0XvtwJ0rfaV6p\neZO3694nP9JzrtHXTO1APYVumcTYS/eHmg2nJ5aWhn42pt7Day2/43dn3uWpgkej21VV5WcVv+Zw\n53GcZgdxJhsne6o40VVBSUIRqqryQcM2JCTuyFjHyLCf0eEAWbmeyxqP0WTggSdLL/zEmwwhqAQC\nwXXD7rBM86i52Yj3anVUYyMB4r027nt0wRX3R7wQSyKtWc5H7vxE9u/QVoEtWJQ6TXCULc8gPcuN\nyxN7w66iAs0+Ye+2WhprezHHGKILG9bcmcvoSIA82Utv3+U1dCtLLOHVmrcYCgxj1pmJGdZEZ1qm\n66KPiU7SkWJLIsWWhNJXQ3l3FTX9Z8hxZPNS9esA3J6+9rLGNxsTPmPzY4tItu5jd+t+ViQvZp4j\nC4C6wQYOdx4n057Ol0ufYygwzLcOfJff1rxJZlw6HzXupNHXwsKEYhJjE2iq02rUzratEFwYUZQu\nEAgEVxGdTseK9fMoXZrG5mfKrrmYuljinDGkZ7uwxZnJnaXFULzXht5wY18W3PFaDVRTXS+Hd2tW\nEItXZRJrM+NJvLLxG3WGaNPdPNc8zGYt3ZU6Q0Pmi+HerDsAeLfuI95v2E6Dr4ml3kWztme5XCYi\nk/1dIzwpPwLAS8rr0QL1rU27ANicuxG7yUay1csd6evoHevjG3u+xUdNO3GaHTww724Auju1iJ8Q\nVJeGiFAJBALBVWYmx+cbgXsfXUA4pF6Vmpa5QpIkMua5qTreRmebZhZ5NS/861JXUd5dycrkJTSn\nqjTV9pKW6bzwC2cgKy6D+e58qnpPUdNfi9Ps4PH8B6/aWCeYiFD1dA2zdlEey5MWs7/9MLtb91Po\nLuBYZzlpthTynJOF/Pdm3cHRzhMMBYa5O3MDG9LXYtJrArInkkKN916cSalAQwgqgUAguEUwGPQ3\nxa9+erYmqECLTl1NPDEu/nbFnwMw7+5RBvtn7h14sdybdQdVvadQUXm64DFijZe/2m02bHFmDAYd\n3Z3a6s6HcjZyvOskb53ZQsNgMyoqG9LXTElbWgxm/mrZVwEJi2HqAoTuziGMJv1NWeN4LbkJvloC\ngUAguJVIy3JhMhtIzXRe05Whcc6YKxYVuc5s7spYj9UYS6Hn2jT1lSQJhzuGnq5hVFXFYbZzX/ad\nvH769+xtO4jdZGOxd+G011kM04ViMBiiv2cEb0rcDV1LdyMiBJVAIBAI/qAwWww8/aXlN2xfx3PZ\nnLvxmn+G0x1LT+cwg/1jOFwxrE9bzZ7Wg3SMdLIudSXGi/S46useQVVF/dTlcGNXHwoEAoFAMAOW\nGOMNX0B/PZlwhD+yRyvUN+gMfKbwCZZ4F7I+bTXDQ+OMjwUu+D4TFhRCUF064mwUCAQCgeAPHLk4\nCW9yHNXl7dFeh5lx6TxX9BS6oJGX/+sg77xSPuNrfQNjvPfaSQ7vaaC5XrNMiPcKQXWpCEElEAgE\nAsEfODqd1ggaYNeHNaiqGt12dF8j42NB2psHGegbmfbao/sbqTvVzYGddZyu6gKItoQSXDxCUAkE\nAoFAcBOQlRNPTkECna0+qk+0AzDkG6f8cAsT9eUTgmmCgD/IqZMdWO0mbt9UQFauh9KladGWPIKL\nRxSlCwQCgUBwk7ByQw4NZ3rY8Z5CMBCit3uYUDDMqttz2L+jlprKjilWEzWVnQT8IUqXpSMXJ12T\nfpO3CiJCJRAIBALBTYLdYeGBJ0uxxBrZ9eFpKo+14XDHULwklYwcD33dI/R0aYXnqqpScaQVSYL5\npclzPPI/fISgEggEAoHgJiIp1cGjn16MJ1Grg1q+LhudTkdeodZy6HRVJwCdbT66O4fIyovHZjfP\n+n6Ci0Ok/AQCgUAguMmwOyw8/KlF9PeMRM1PM3I8GIw6Tld2Mi8/gUO76gEoKkuZw5HePAhBJRAI\nBALBTYjRqJ/iJG806snOi6emspNXfnYYAE+ClbTLbP4smIoQVAKBQCAQ3CKULktnoH8Ud7yV1Awn\nmbke0WLmKnFZgkqWZSPwApAFhIA/AoLAzwAVOAn8saIo4asySoFAIBAIBFdMQpKdRz+9eK6HcVNy\nuUXpGwGDoiirgP8NfBP4DvANRVHWAhLw0NUZokAgEAgEAsGNzeUKqlOAQZZlHRAHBIDFwI7I9neB\nO698eAKBQCAQCAQ3PpdbQzWElu6rBuKB+4F1iqJMeN37AMeF3sTlisVguPZurAkJ9gs/6SbmVt7/\nW3nf4dbef7Hvty638v7fyvsOc7v/lyuo/hTYoijKX8mynA5sBUxnbbcD/Rd6k74ZegpdbRIS7HR1\n+a7559yo3Mr7fyvvO9za+y/2/dbcd7i19/9W3ne4Pvt/PsF2uSm/PmAg8ncvYASOyrK8PvLYfcDH\nl/neAoFAIBAIBH9QXG6E6rvAT2VZ/hgtMvXXwCHgP2VZNgFVwCtXZ4gCgUAgEAgENzaXJagURRkC\nHp9h021XNhyBQCAQCASCPzxELz+BQCAQCASCK0QIKoFAIBAIBIIrRAgqgUAgEAgEgitECCqBQCAQ\nCASCK0QIKoFAIBAIBIIrRAgqgUAgEAgEgitEUlX1ws8SCAQCgUAgEMyKiFAJBAKBQCAQXCFCUAkE\nAoFAIBBcIUJQCQQCgUAgEFwhQlAJBAKBQCAQXCFCUAkEAoFAIBBcIUJQCQQCgUAgEFwhhrkewLVC\nlmUd8G9AKTAOfF5RlNNzO6priyzLRuCnQBZgBv4BaALeBmoiT/uRoigvz8kArzGyLB8BBiP/1gHf\nBH4GqMBJ4I8VRQnPzeiuLbIsPws8G/nXAiwEVnKTz70sy8uBf1IUZb0sy7nMMN+yLP8R8EUgCPyD\noihvz9mAryLn7PtC4AdACO337tOKonTIsvw9YA3gi7zsIUVRBuZmxFeXc/a/jBnO9Vtk7l8CkiKb\nsoB9iqI8eTPO/SzXuEpukO/9TSuogM2ARVGUlbIsrwC+DTw0x2O61jwD9CiK8ilZlt3AMeB/A99R\nFOXbczu0a4ssyxZAUhRl/VmPvQl8Q1GU7bIs/zva/L8+R0O8piiK8jO0HxVkWf5XtB+dxdzEcy/L\n8l8AnwKGIw99h3PmW5blvcD/AJagCc1dsix/oCjK+JwM+ioxw75/D/gTRVGOybL8ReAvga+hnQP3\nKIrSPTcjvTbMsP/TznVZlpO4BeZeUZQnI4+7gG3An0aeejPO/UzXuGPcIN/7mznltwZ4D0BRlH1o\nB/Zm57fA30T+ltCU+WJgkyzLO2VZ/oksy/Y5G921pRSIlWX5fVmWt0ZE9GJgR2T7u8Cdcza664Qs\ny0uAIkVRfszNP/dngEfO+n+m+V4G7FYUZTxyd34aKLmuo7w2nLvvTyqKcizytwEYi0Tp84Afy7K8\nW5blz17vQV5DZpr7c8/1W2XuJ/h74AeKorTdxHM/2zXuhvje38yCKg44O7wZkmX5Zo7IoSjKkKIo\nvsiPySvAN4ADwJ8rirIOqAX+bi7HeA0ZAf4ZuAf4EvArtIjVRCsAH+CYo7FdT/4a7YcVbvK5VxTl\nVSBw1kMzzfe5vwM3xXlw7r4ritIGIMvyKuB54LuAFS0N+AxwL/AVWZZvBkEx09zPdK7fEnMPIMty\nInAHkSg1N+ncz3KNu2G+9zezoBoEzr4j1ymKEpyrwVwvZFlORwv7/kJRlBeB1xVFORzZ/DpQNmeD\nu7acAn6pKIqqKMopoAfwnrXdDvTPyciuE7IsOwFZUZRtkYdulbmf4Oz6uIn5Pvd34KY9D2RZfgL4\nd2CToihdaDcZ31MUZURRFB+wFS2SezMy07l+y8w98BjwoqIoocj/N+3cz3CNu2G+9zezoNoNbASI\npH/K53Y41x5Zlr3A+8BfKory08jDW2RZXhb5+w7g8Iwv/sPns2h1csiynIJ2h/K+LMvrI9vvAz6e\nm6FdN9YBH531/60y9xMcnWG+DwBrZVm2yLLsAOajFa7eVMiy/AxaZGq9oii1kYfzgd2yLOsjxbxr\ngCNzNcZrzEzn+i0x9xHuREt3TXBTzv0s17gb5nt/M6fAXgfukmV5D1qu9bk5Hs/14K8BF/A3sixP\n5Jm/BnxXluUA0A58Ya4Gd435CfAzWZZ3oa32+CzQDfynLMsmoAotRHwzI6OlOyb4MvCDW2DuJ/gz\nzplvRVFCsix/H+1HVgf8L0VRxuZykFcbWZb1wPeBRuA1WZYBdiiK8neyLP8C2IeWIvq5oigVczfS\na8q0c11RlMGbfe7PYsp3X1GUqpt07me6xv1P4Ps3wvdeUlX1ws8SCAQCgUAgEMzKzZzyEwgEAoFA\nILguCEElEAgEAoFAcIUIQSUQCAQCgUBwhQhBJRAIBAKBQHCFCEElEAgEAoFAcIUIQSUQCAQCgUBw\nhQhBJRAIBAKBQHCFCEElEAgEAoFAcIX8/7eiiEvZnV7PAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c06d908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 6))\n",
"plt.plot(S[:, :10]);"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"100.09479427881311"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"S[-1].mean()"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df = pd.DataFrame(S[:, 1])"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df.columns = ['path']"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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nX26kx+2jpWeYivKrk2z3gDETYuuq4nhdPfaH5bDbyLJayLJa0Fvc/Mt/Haah\nY4hQOMJn3rWVNTWF8ef51b4mhr3GStth7xj27Mz47ldFeVaZjikSoiA3kyyrBZ8/SElBFq5BH//6\n46P84/t34pS9ktPKkq/pN7QPcuS8i+rSXApyM3nlVCfe0eDUj+kYosdtnPDqmmSaW89AdJ/ZcX8w\nK6vyybSYWBUdzb9p5zLs2RmcbxuMT+F8+cSlXYw6+0Z4/nDbuMvGa/XHk77sYSsSQ9M0dq0vY/0K\nB59773YeuH0V/kCIw7pr+geLJWXJJ/3XznQD8LZb67jjuir8YyFeOTH19nH7o+0NALr6J076ruiH\ngrPwUtJ3FmTxrU/fyk3RufP/46YVfPkjN/HNT97Cv3zwRkoLsziiu+IfOq+c7CQUjrCxtggwPgQA\n+gaN8k6hJH2RQH/6xtV8+o+3kG3LYMdaY2OdM039SY5KLLQlnfRD4TCHzvWQm5XB2ppCbt1SSabF\nxO8PtxGORCZ8TDAU5uDZbrKsRlllspG+y+3DmmnGfsX5gYmmUGZZLWiaxk0byxkLhnn9XHf0OYwR\n/S2bjQ+J2Eh/YHgUDSjMTdvNx8Q8K8i1UunMQW91y9z9NLOkk/7Z5gGGvAF2rCnBYjaRm5XBttVO\negdHJ03mpy/2MzIaZPfGCrKs5glH+pFIBJd7lJKCrFnNk9+1oQwN2Bf9JtE36MNi1lDVRo0/lvT7\nhkbJy80kw7Kkfz0iydYvdxAIhrnQZux/1Nk3wrd/eYp/f/IkX330OP/nh4c4eLY7yVGKRFuyWcU/\nFuLp/c0AXL+uNH59bLZCS8/EGyWcjG5Kcp1yUubIpnvAS1PnEB//t5c5dM5YHTvkNXrqlMzyBJgj\nz0ZNmZ2maG/z3sFRivJs5GZlkJ+TSWffCOFIhP4hPw67lHbE/Fq33AHA6WiJ59f7mjh4todDuovj\nDX1c7Bzi1682JTFCMR+WZNL3+AL860+OcK7FzYZax2XTJGMbiLd0T7x71KnGfrKsZmor8ihz5BAM\nRfjvZ88yMhrkuUOtALgmOIk7U+VFxnO2944w7A1QnG+LXp9N3+AovW4foXCEojwp7Yj5pZYVYDFr\nnGrsxzsa4PB5F6WFWTz08d1843/ezJaVxbS7RiY9r/X84TYe/vVpwuGJS6UiNS3JpP/k3kYudg5z\n04YyPvG2TZdtKLKsxNhmrLX76pF+94CXHrePdTUOLGZTfN79gWg55kLbIL2DvglP4s5UefQ5T0W/\nURRHPzjuWKJ8AAAavUlEQVTKi3KIcKmtg0NO4op5Zs00s7G2iNYeD9988hSBYJjdm8rJz8kk25bB\ndcpo2X1Y75nw8S8caWP/6W4pAS0ySy7pd/V7eflYB6WObP787jVYzJf/F7NtForzbTR3e4hccTL3\nVKPxNXdDrfG1tzzaVgGIL+h67Ux3fDrnbMs7cCnpx8pIsZF+7APm9EUjBkn6YiG8685V2DLNnG0e\nQNNg14ZLXVu3rCrGbNI4NMG0zmAoHJ+2/Kt9TTLaX0SWXNJ//KUGQuEIb7ul9qqEH1NTasfjC+D2\njF12fSwRb1hhTKGMJWKAd92xCotZY//p7nFz9GefmMuiC7hiJ8+Kokk/trDrWLR1spR3xEIozs/i\nXXesAoz3faH90vsux5bBmppCmruG6XVf3qitZ8AoQ2oYA60DZ7oQi8OSSvoeX4DDuouaMnv8q+lE\nlsXr+pdKPLG++OVF2fFEXFqYhaZBjs3C9jUlbFlZTEfvCK+f68akaXMajRszfoxdtoB4/5MV5XmU\nF2WTk5XBinI7q6qkmZpYGLs3lfPh+zbwZ3epq267fq0xCeI3B5ovuz62puS2bZVYzBqP/PY851vd\nVz1epJ4l1Yah3WWcnF1XUzjlVMrqaF2/pXuYzdFmZoOeMfyBEJXOS3uIZljM/PFtK6ksyyPDYuKB\nO1bRP+ynsWMIZ4Ft0m8SU8mwmHAWZMW/LcTKO9k2C//0gRumeqgQ80LTNHasKZnwths3lPLswRZe\nPt7BbVsrqS41/nZi3To31haxbrmDb/3iFA89epx/eO8OysaVRUXqWVIj/bbotoJVzqk3f47N4DnR\n2Icv2sI4fnL2ipLNG3dWs+e6ZYBRZ/9ff7qNd+yp42231s05zti5ggyLifyczDk/jxDzzWwy8cAd\nK4lE4Gcv1Mevj60pqSjOYdtqJ++8fSX+sVB8goJIXYsq6Z9vdfNXX9tLU9fQhLe3RUf6lc6p2w4X\n2q2srSmkoX2Iz3//dfoGR8cl/alPzlrMJu6+oYada0unvN9UyqP1+6I8m2yCIlLehhVFrF/h4Gzz\nAM1dRkm0o3eETIspXgqNdX7tccsmLaluUSX9k419DHsDvHy8M35dS/cwn//+67S7PLS5PJg0LZ5U\nJ6NpGp9852bu2FZFj9vH3hMd9A4aLRGcC9BjPHaCOFbaESLVvWF7FQAvHmsnHInQ1e+lzJEdnw5d\nEp2+HCtbitS1qJJ+7Cvl0QuueO+c373eSnP3MM8faafdNUJZUfaM2hdYzCbefGMNAK09nknLO/Mh\ntlmKtLQVi8WGFUUU5dk4cLqbth4PY8Fw/H0MxkyfHJsl/nckUtciS/pGzX7QM0Zjx5DRGjbaJ//V\nU52MjoVmtaNUQW4muVkZ8aSvaQszP76uIo8/fcNq7r6+et5fS4hEMJk0bt1SgT8Q4vtPnwMurTmJ\nKSnMwuX2yZz9FLdokn5sMUhs8/Ej510cr+/FPxYiw2JiLBAGoGqaev54mqaxrCSX3sFR2l0jOOxz\nm5EzW5qmccd1VfHVuEIsBjdvKseaaaY5OtX5yl23SgqzCYYic9oXWiycRTNls3dwlFA4ws61JRxv\n6OPA6S70FqNlwTv21PHj318App+5c6VlJbmcbR7A6w/GZ/UIIa6Wn2vlSx/eRV/0/NeVfy+xcqVr\nwCf776awRTPSj5V2lpXkcvvWStyeMS52DrOsJJfbtlVizzbaJFSWzD7px0iNXYip5WZlUFNmp6bM\nftXMs9LoydxuqeuntEUz0o/1vy8vymHrqmJu3FDG8fpe1q9wYDaZuO/mWurb3LOeERNbbAJIuUWI\naxCbweOSGTwpbdEk/c540s9G0zSqnLmXlXJu21rJbVsrZ/285UXZmE0aoXBkQWbuCLFUxRoQyrTN\n1JbySf83+5u40DZI39AoZpOW8BKMxWyiojiH1h6PlHeEuAZ5OZlYM8x0S9JPaSlV0w9HIpdN9wqG\nwjxzoIUTDX20u0YoKcyal9k165c7yLZaKHfMfOaPEOJymmYMyroHvLx8vIPRsWCyQxITSImk7w+E\n+M3+Jj79zX38/Xdfiyf++rZBvP5gvN1r5Sxn5szU/bfW8qWP7CLblvJffIRIaVtWFRMIhvnBM+f4\n0bN6ssMRE0h6lvP4Anz10eM0dBj9dAY9YzR2DrGyMp9j9UZv+ffevQZgVguvZsNiNi3I/Hwhlrr7\nb6ll96ZyPv/912nqmngfapFcSc10Y4EQ//rjozR0DHHD+lL+8i1rAThe30skEuFYfS/WTDNrqgvZ\nWFsku0kJsQiUFGRRUZyNy+0jGAonOxxxhaQm/f0nO2lzebhxfRl/+ZZ1bFvtxGI2caKhj65+Lz0D\nPjYsd8yol44QInWUO3IIhSPSiycFJTWbvnCoFYC37KrBpGnYMi2sqSmgtcfDf/3uPGDUCIUQi0t5\nsdGXJzbVWqSOGdX0lVLXA/9X1/U9SqmVwA+ACHAK+Kiu62Gl1AeADwJB4Au6rj813fMeO99DXUXe\nZa2QN9cVc6qxn7PNA6ypLuD6dXPvWy+ESI7YTDhjJf3kW5eKhTftSF8p9RngO0CsoP4g8He6rt8M\naMC9Sqky4BPATcBdwD8rpabd2TscgV0byy+7bvPKIkyaRqUzh4/dv1FOsAqxCMU6cMpIP/XMZKTf\nANwPPBK9fB3wUvTnZ4A3AiFgn67rfsCvlKoHNgGvT/XEmRYTO9devjdncX4Wn3vvdorzs2QKpRCL\nVHGBDbNJk6SfgqbNqrquP66UWj7uKk3X9dgKqmEgH8gDBsfdJ3b9lL7woZtYvsxx1fVOp32CeydX\nKsY0EYkzcRZDjJC6cVY4c+ke8FJcbKyvSdU4r7RY4pyruQylx8/BsgNuYCj685XXT2ntCgcuV+rP\n5XU67RJnAi2GOBdDjJDacZYU2GjtHqa+qY9VK4pTNs7xUvl4jnctH0xzKZgfVUrtif58N7AXOAjc\nrJSyKaXygbUYJ3mFEGnqyrp+Z98Iw96xZIYkmFvS/zTweaXUfiATeEzX9S7gaxgfAC8Af6vrumyf\nI0Qaqy4xRqP7T3fR3DXE5757ML7VokieGZV3dF1vAm6I/nweuHWC+zwMPJzI4IQQi9fW1cVUOnPY\nd6KT5m4PoXCE861uIpHIVRuwiIUj8yGFEPPCbDLxwO2riACt0X11vf6g9NtPMkn6Qoh5s36Fg+3K\niT07kzftrAagsXMoyVGlN0n6Qoh59cF71/O9v3sDW1cbLVUuStJPKkn6Qoh5ZTaZsFktVJfaMWka\nTZ2pPyVyKZOkL4RYENYMMxXFOTR3D0vL5SSSpC+EWDC1FXYCwTAdvSPJDiVtSdIXQiyY5eV5ADS0\nX+raEokYffcjkchkDxMJJElfCLFg1tYUAnDqYj9g7J738K/P8Nlv7+fZgy3JDC1tSNIXQiyY0sJs\nSguzONM8wFggxJd/eowDZ7oB+NUrTQwM+5Mc4dInSV8IsaA21hbhHwvx499foL59kC0ri3n3G1fj\nD4R49MX6ZIe35EnSF0IsqI11RQC8fLwDk6bxwJ2r2LOlkuqSXA6c7mZImrLNK0n6QogFpZYVkGkx\nUs/160opKcjCZNJYXV0AQP+Q9GqcT5L0hRALKjPDzPoVDkyaxj031sSvL8w1dliVuv78kv0IhRAL\n7r13r8HtGaOiOCd+XYHdSPpuj5R35pMkfSHEgrNnZ2LPzrzsuqlG+s+81kyOLYNbNlcsSHxLmSR9\nIURKuDTSvzzpuz1+Hv1DAwCBYJg7rqta8NiWEqnpCyFSQkGuMfJ3XzHSP9nYF//5v587z+nowi4x\nN5L0hRApwZZpIctqvmqkf7LBSPrvunMVAKebJOlfC0n6QoiUUZBrvaymHwyFOd3Uj7PAxnZVAkDv\noEzpvBaS9IUQKaMg18rIaJBAMARAfdsgPn+ITbXF5OdmYjGb6HXLdovXQpK+ECJlFEZP5g5Ep22e\niJZ2Nq0swqRpFOXbZKR/jSTpCyFSRkF02qZ72E8kEuHIeRfWTDNqmbFa15lvw+MLMDoWTGaYi5ok\nfSFEyigcN22ztcdDj9vH5roiMjPMABTn2wCp618LSfpCiJRRMG6B1iG9ByB+AhegSJL+NZPFWUKI\nlFFgN+bqDwz7Od7QR6bFxMbaovjtzoIsADmZew1kpC+ESBmxVgxHzrvo7veysa4Ia6Y5fruM9K+d\nJH0hRMrIy8nEbNLoHRwl02LiDduXXXa7Mz860pekP2dS3hFCpAyL2cRH3rqBEV+QbaudZNsuT1H2\n7AwyLSZ6B6W8M1eS9IUQKWXrKuekt2nRufp9MtKfMynvCCEWFWdBFiOjQbyjMld/LiTpCyEWlWUl\nuQC8fq47yZEsTpL0hRCLyu3bqrCYTfxmfzPBUDjZ4Sw6kvSFEItKod3KrZsr6B0cZf/prmSHs+hI\n0hdCLDp331CNxazxxMuNDHpkI/XZkKQvhFh0HHk27r+ljkHPGP/+i1NS5pkFSfpCiEXprp3L2L6m\nhAttg/zhSDsADR2DNHQMJjmy1CZJXwixKGmaxrvuuLSFYiAY5is/PcYXf3SYpw80E4lEkhxhaprT\n4iyllBX4PlALDAEfBSLAD6L/ngI+quu6fOcSQsybQruVksIsLrS5udDmZnTM2HHrsRcbyLZa2LO1\nMskRpp65jvQ/AHh0Xb8B+DjwDeBB4O90Xb8Z0IB7ExOiEEJMTi0rwOcP8duDrQD86RtWA3A42ppZ\nXG6ubRjWAc8A6LquK6XWAmbgpejtzwBvBJ6c7omcTvscQ1hYEmdiLYY4F0OMIHFuX1/G3hOdnGzs\nw2LWuPe2VbxyspML7UPkF2THN2BJdpypYq5J/xjwFqXUL4DrgUqgR9f1WBFtGMifyRO5XMNzDGHh\nOJ12iTOBFkOciyFGkDgBygts8Z/rKvLxDPlYXVVAc9cwB463U5BrdO4sKcxOapyJdC0fTHMt73wP\no5a/F3grcBgIjbvdDrjnHJUQQsxQcX4WRXlGH/51KxwArF1eCMCrpzr5wo8O8ZWfHZMTu1FzTfo7\ngOd1Xd8NPAo0AkeVUnuit9+N8YEghBDzbk2NkeQ31hpJXy0rwKRp7DvZhc8fwuUepavfS0v3MD9+\n7jyBYOrMMfH4AnT3exfs9eZa3rkA/B+l1N9ijOjfD+QCDyulMoGzwGOJCVEIIab2jj0r2bGmhOVl\neQBkWS3UVuRR3z6INdOMfyzE6Yv9HK/v5XTTAOtWONiysjjJURu+95uznG0e4MGP3USWdf673c/p\nFXRd7wXunOCmW68tHCGEmL28nEw21V2exHdtKKN30Mf737KOr/z0GPtOdtHSbdTrG9oHUyLph8Jh\nzjYP4A+EaOwcYv1yx7y/pmyiIoRYkvZsrYzP0y9zZNPcfekEbUN7aqzaben24A8Yp0Mb2gYXJOnL\nilwhxJK3PnqCN8NiojjfRmPnEKFw8uv6F1ovzXepX6APIkn6Qoglb0M06W9b7WTdcgdjgTBtPSPz\n+prD3jF63Jfv5esdDfDamW5++vwFzjYPcL7NSPQ5NgsNHYOEp5lh1D3g5Z//6/A1xSXlHSHEkrex\nroj3vHE1W1c7OdnYx8vHO6hvH6SmbH4WYoXDEb70k2P0DY3y4Mduwpph5mzzAP/569MMesYA2Hui\nE5MGjjwra6sL2Xeqi47eEaqcuRM+5/lWN1977ARe/7VtEykjfSHEkmfSNG7bVkVBrpWVlca60fns\nxnnwXDdtLg8+f5CzzQOcauzjyz85iscb4J4ba7hv9wp8/iAjo0FWVRVQVxWNaZISTzgS4YfPnsMf\nCPG+N6+9pthkpC+ESCuljmxybBbONQ8QDkcwmbSEPn8oHOaXrzTFL5+o76V3cJQI8Ok/3sKamkIi\nkQgtPR6OnHexellB/IPoQtsgt265ukncmYv9dPZ5uXF9Gbs3lV9TfDLSF0KkFZOmsWNNCW7PGCca\n+hL+/PtOdtHd72X3pnJybBYO6S5OX+ynrjIvvohM0zTef89a/uwuxe6NZVQU51CQm8mxC70EgqGr\nnvO5Q20AvGFH1TXHJ0lfCJF2YlM5XzjaltDndXv8/PyFeqyZZu7bvYKNdUV4fAEiwM2bKi67b1a0\n9XOGxYxJ07hhfRlef5Dj9Zd/EHX1eznZ2Meqqvz44rNrIUlfCJF2qkvtrKzK51RjPz0DiWuB8Mhv\ndbz+IO/cU4cjz8amuiIAMjNM7FhTMuVjd60vA2DfyU4ef6mBf3v0OOFwhJONxofALZsrpnr4jEnS\nF0Kkpduio/2vPX6S0039c3qOU419fOZbr9LcNczppn6OXuhl9bICbo0+98baInKzMrhlU8W0LRaq\nSnKpLsnleEMfv9nfzImGPjp6R+KriFeUX/soHyTpCyHS1M61Jdy2tZLO3hEe/Nkx2lyeWT/H3hOd\n9A6O8v1nzvL4iw0AvOuOVZg04+Rwji2DBz92Ew/cuWpGz3fTRuMkbewD4mLnEK3dHjItJsoc07eG\nngmZvSOESEtmk4n33KWoKbPzg2fOcfpiP1vXzXxmTCgc5kz0G0JLt/GBsWNNyVVz/y3mmY+t77iu\nilJHNrZMM//y30e40D5Ie+8I1aX2hM0ykpG+ECKtxfrdXGib3bz9i53DjIwGuW61kxybBZOmcd/N\nK64pFpNJY1NdEbUVeVjMJg6d6yEUjlBdOvGCrbmQkb4QIq0V5dsotFupb3PPaqOVU9ETrDduKOOe\nXTV4fAHKi3ISEpPFbKK6NJfGjiEAqksSl/RlpC+ESHurqvIZ8gbo7J15P56Tjf2YTRprawpZXpbH\nhhVFCY1pxbjpmctKE9cuQpK+ECLtraoqAODMxZkt1hryjtHUOcTKyvx52/hkebmR6DWgypmYbxAg\nSV8IIVgV7X1z5uLMpm4ev9BLBNi0MrGj+/FiUzRLHNnYMhP3wSJJXwiR9qqcuWRZzZxs6L2qrh+J\nRDhe38vQyFj8uiPnXYDRqnm+lBVls2VlMbcmaFFWjCR9IUTaM5k0NtcV09XnRW9xX3bbU/ub+epj\nJ/jRb3UAfP4gp5sGqHTmUFqYmLnzE8akaXzi7Zt40/XViX3ehD6bEEIsUrdti/XjaY9f9+qpTp58\nuRGAoxdc9A+NcupiP8FQmG2r5m+UP58k6QshBLCyMp/l5XkcPe9iYNhPOBLh539oIMtq5k3XVxOJ\nwB+OtrPvZCcA1ylJ+kIIsWhpmsabb1pBKBxh7/EOLnYOMTQyxnWrS7h39wqyrZZ4T5yaUjvLEjh3\nfiFJ0hdCiKg926qwZZp56XhH/GTt5pXFWDPM8S6XG2od/PW7tqBpid18ZaHIilwhhIjKslrYtaGM\nF4608/tDbVjMJtavMDY+uf/WWjbWFaGWFSR8t62FJCN9IYQYJ9ZyORAMs7amMD5H3mI2sbamcFEn\nfJCkL4QQl6l05qKWGSt0t8zj4qtkkaQvhBBXePttdWxb7WTnutJkh5JwUtMXQogr1FXk87H7NyY7\njHkhI30hhEgjkvSFECKNSNIXQog0IklfCCHSiCR9IYRII5L0hRAijUjSF0KINCJJXwgh0oh25dZg\nQgghli4Z6QshRBqRpC+EEGlEkr4QQqQRSfpCCJFGJOkLIUQakaQvhBBpRJK+EEKkkaRsoqKUMgH/\nDmwG/MBf6rpen4xYrqSUygC+BywHrMAXgFbgKeBC9G7f0nX9Z0kJcByl1BFgKHrxIvBPwA+ACHAK\n+Kiu6+HkRGdQSr0XeG/0og3YAtxIihxPpdT1wP/VdX2PUmolExw/pdQHgA8CQeALuq4/leQ4twBf\nB0IYfz9/put6t1Lqq8BuYDj6sHt1XR9MYpxbmeD3nILH86dAWfSm5cABXdcfSObxnCQPnSEB789k\n7Zx1H2DTdf1GpdQNwFeAe5MUy5XeDfTpuv4epZQDOAb8I/CgrutfSW5olyilbICm6/qecdf9Cvg7\nXddfVEp9G+OYPpmkEAHQdf0HGG9UlFLfxHgjX0cKHE+l1GeA9wAj0ase5Irjp5TaD3wC2I7xofWK\nUuo5Xdf9SYzzq8DHdV0/ppT6IPBZ4FMYx/UuXdd7Fyq2aeK86veslCojxY6nrusPRK8vBP4AfHJc\n/Mk6nhPloWMk4P2ZrPLObuBZAF3XD2AEnCoeBf4++rOG8el5HXCPUuplpdR3lVL2pEV3yWYgWyn1\nO6XUC9EPz+uAl6K3PwPcmbTorqCU2g6s13X9P0md49kA3D/u8kTHbyewT9d1f3SUVw9sWtAor47z\nAV3Xj0V/tgCj0W/Pq4D/VErtU0q9b4FjhImP55W/51Q8njGfB76u63pnChzPyfLQNb8/k5X084Dx\nX5NCSqmU2K9X13WPruvD0TfoY8DfAQeB/1/X9VuARuAfkhljlBf4MnAX8CHgvzFG/rG+GsNAfpJi\nm8jfYPxRQYocT13XHwcC466a6Phd+V5d8ON6ZZy6rncCKKV2AR8DHgJyMEo+7wbeBHxEKbWgyXSC\n4znR7znljieAUqoEuIPot1KSfDwnyUMJeX8mK+kPAeNHdyZd14NJiuUqSqllGF/zHtF1/cfAk7qu\nH47e/CSwNWnBXXIe+C9d1yO6rp8H+oDScbfbAXdSIruCUqoAULqu/yF6VSoeT4Dx5z9ix+/K92pK\nHFel1B8D3wbu0XXdhTEI+Kqu615d14eBFzC+DSbTRL/nlDyewNuBH+u6HopeTvrxnCAPJeT9mayk\nvw94M0C0LHEySXFcRSlVCvwO+Kyu69+LXv1bpdTO6M93AIcnfPDCeh/GuRCUUhUYn/i/U0rtid5+\nN7A3OaFd5Rbg+XGXU/F4Ahyd4PgdBG5WStmUUvnAWoyTaEmjlHo3xgh/j67rjdGrVwP7lFLm6EnA\n3cCRZMUYNdHvOeWOZ9SdGCWTmKQez0nyUELen8kqqTwJvEEp9SpGveovkhTHRP4GKAT+XikVq6l9\nCnhIKRUAuoD/L1nBjfNd4AdKqVcwzua/D+gFHlZKZQJnMb4WpgKF8fU+5sPA11PseAJ8miuOn67r\nIaXU1zD+wEzA3+q6PpqsAJVSZuBrQAvwhFIK4CVd1/9BKfUIcACjdPEjXddPJyvOqKt+z7quD6XS\n8Rznsveorutnk3w8J8pDfwV87Vrfn9JaWQgh0ogszhJCiDQiSV8IIdKIJH0hhEgjkvSFECKNSNIX\nQog0IklfCCHSiCR9IYRII/8P0SKqsDXJmgoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f630898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df.plot();"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"lags = 5\n",
"cols = []\n",
"for lag in range(1, lags+1):\n",
" col = 'Lag_%d' % lag\n",
" df[col] = df['path'].shift(lag)\n",
" cols.append(col)"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>path</th>\n",
" <th>Lag_1</th>\n",
" <th>Lag_2</th>\n",
" <th>Lag_3</th>\n",
" <th>Lag_4</th>\n",
" <th>Lag_5</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>100.000000</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>101.006014</td>\n",
" <td>100.000000</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>101.352312</td>\n",
" <td>101.006014</td>\n",
" <td>100.000000</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>101.519825</td>\n",
" <td>101.352312</td>\n",
" <td>101.006014</td>\n",
" <td>100.000000</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>100.252724</td>\n",
" <td>101.519825</td>\n",
" <td>101.352312</td>\n",
" <td>101.006014</td>\n",
" <td>100.000000</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>100.674737</td>\n",
" <td>100.252724</td>\n",
" <td>101.519825</td>\n",
" <td>101.352312</td>\n",
" <td>101.006014</td>\n",
" <td>100.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>101.917407</td>\n",
" <td>100.674737</td>\n",
" <td>100.252724</td>\n",
" <td>101.519825</td>\n",
" <td>101.352312</td>\n",
" <td>101.006014</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>101.571518</td>\n",
" <td>101.917407</td>\n",
" <td>100.674737</td>\n",
" <td>100.252724</td>\n",
" <td>101.519825</td>\n",
" <td>101.352312</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>103.964930</td>\n",
" <td>101.571518</td>\n",
" <td>101.917407</td>\n",
" <td>100.674737</td>\n",
" <td>100.252724</td>\n",
" <td>101.519825</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" path Lag_1 Lag_2 Lag_3 Lag_4 Lag_5\n",
"0 100.000000 NaN NaN NaN NaN NaN\n",
"1 101.006014 100.000000 NaN NaN NaN NaN\n",
"2 101.352312 101.006014 100.000000 NaN NaN NaN\n",
"3 101.519825 101.352312 101.006014 100.000000 NaN NaN\n",
"4 100.252724 101.519825 101.352312 101.006014 100.000000 NaN\n",
"5 100.674737 100.252724 101.519825 101.352312 101.006014 100.000000\n",
"6 101.917407 100.674737 100.252724 101.519825 101.352312 101.006014\n",
"7 101.571518 101.917407 100.674737 100.252724 101.519825 101.352312\n",
"8 103.964930 101.571518 101.917407 100.674737 100.252724 101.519825"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head(9)"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df.dropna(inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"reg = np.linalg.lstsq(df[cols], df['path'])[0]"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.9400087 , 0.06930484, 0.00517393, 0.06843817, -0.08351389])"
]
},
"execution_count": 62,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"reg"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df['pred'] = np.dot(df[cols], reg)"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [
{
"data": {
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ZyVFEhuk50ziAJ4DE9BJzISrqmi4NelSPJM0LIYQQm8AlC67O9Feh0+goiM1b9bU0GoWy\n7DhGxmdo7Rnz+3xvZfizSywNOqZc/OpADQ2dIwGNT1VVfnH2Uf7ile/iUT0BXUMIIYQQV4ZLElwN\nTA7SNdFDvimHUF1IUK55rlp7AEuD8eEWEsIt1AzV4XQ7572mqiq/eaWWQxXdvPB+S0BjO9J9nLMD\nNbSPdNEy2h7QNYQQQghxZbgkwZV3SbA0CEuCXkVbYtFpA6vWDrNLgzMeJzZ7w7yvH6ro5mhNHwDV\nLUNMTrv8uu7ozBjPNrxw7v+937sQQgghNqZLElydGahCQTlXBiEYwkJ05KebaOsbZ2h0yu/zvWM5\nO3g+76prYILHXqsjPETHnpIkXG6Vs03+1dN6uu55HK5JPpx9JyFag+xKFEIIITa4dQ+uxmcmaBxu\nYUt0OlEGY1CvvZpGzlui0onQh3N2rlq70+Xm53+oYsbl4f4787l1RyoAp/xYdqwcqOFE3xkyo9K5\nJf16ShML6HX00evo93t8QgghhLgyrHtwdXawBhU1oEbNKylfRXCl1WgpjitgZGaU9rFOnnyjgY7+\ncW7cmsJ2azxp8ZHERYVS0TiAy71yUvqUa5onbL9Ho2j4TP5H0SgadqaUAbI0KIQQQmxk6x9crUG+\nlVdcdChp8ZHUttqZmvEvNwqgeK6R86u247xxspMUSwSfujkHAEVR2JpnZnLaTW3bysVKX2h6Bfv0\nMLel30hKZBIA25KKUVBkaVAIIYTYwNY1uJpxz1A9VEdieDwJ4ZY1uUdZjhmXW6Wq2f9q7YWxeWgV\nLaf6KjHoNDx0TxEG/fkCp9vzZsd8qm75mbGW0Tbe6niP+DAzd2Tecu7rUaFGsqIzaB5plYKlQggh\nxAa1rsFVzVA9To9zTWatvLbmepcG/c9r0msM6CctEDbKPTclkmKJnPd6Tmo0kWF6TtX3L1ms1O1x\n87uap1FR+XT+R9Fr9fNeL7UUoaJyVnoZCiGEEBvSugZX3kbNa5Fv5ZWRaCQ6wkBF4yAej38V0fe/\n18JojwmAyIShBa9rNRrKcuIYHp+hpXvxYqUH296ha6KHa5J2kmfKXvC6t2Cp91kIIYQQYmNZt+DK\n7XFzdqCaaIORjKjUNbuPRlEoy4ljzOGkqXvU5/NsbXb2v99ClCsNYMmZpW25c0uD9QtnxvocAxxo\neQ2jIZL7cu5a9Pz4cAuJ4fHUDtUz457xeXxCCCGEuDKsW3DVNNLKhNNBibkQjbK2ty33s5Hz+KST\nX+yvRkHhK3ftJCUyiTp7A1Ou6QXHFm6JxaDTcLJufnClqiqP257F6XHx8dx7CdeHL3m/UksRTo+T\nmqF6P74rIYQQQlwJ1i24OrckaCle83sVZJrQ6zQ+VWtXVZVHXqzBPjbNh6/bQk5KNKXmQlyqm9qh\nugXHh+i1FG2JpXvQQffgxLmvH+k+Tp29geK4ArbFly57z5V6GQohhBDiyrUuwZWqqlT0VxGqDVk0\nDynYQvRaCjNMdA5M0Dc8ueyxb5zs5HTDAAUZJu68KgM4X619qZIJ27y7BudmxrwtbkK0Bj5lvQ9F\nUZa9Z0ZUGlEGI2cHqqWRsxBCCLHBrEtw1TXRw8DUEIVxVvQa3XrckvK5XYNnllkabOsd48k36okM\n0/PlfYVoNLNBUZoxhWiDkarB2kWDn7IcM4oCp+aWBr0tbu7JugNTaMyKY9MoGkrMBYw7J2geafPp\n+3G63Lx9upMZp9un44UQQghxaaxLcFXRPzsDVLaGuwQvtlIrnOmZ2fY2LrfKl/cVYDKGnHtNo2go\nNhcuGfxEhumxpsXQ2DXKBx1nz7W4uT71ap/H590x6euuwQNH2nj0ZRtvn+7y+R5CCCGEWH/rE1wN\nVKJRNBTG5a/H7QCIiQwhM9FIXfswjqmF1dp/91odPUMO9u5MozTbvOD1krlq7UvlRW3Ns4DGxdMN\nz81rceMrqykHg9bgU3Dlcnt481QnADWt/hdHFUIIIcT6WXGNzmq16oFHgUzADTwIhAM/B6aB08DX\nbTbbkslDbWOd5JtyCdeHBWPMPivPNdPSM0Zl8yC7ChLOff1IdQ/vnu0mI8HIR29YPAfMaspFr9Fz\ndqCaD+fcueD1rblmnq6rx+EZ4/aMm8+1uPGVXqunMDaP0/2V9Ez0kRgRv+Sxx2r7GJ2YLdtga7fj\n9njQata9c5EQQohl9A9PYo4OXTHvVmx8vvyEvhPQ2Wy2a4CHge8BvwC+YbPZrgNGgM+sdJG1rMq+\nlMUaOffZHfzmZRshBi0P3VuEXrf4IzBo9RTE5tHj6KPPsXBpcVzpR5fQijoVzg3JNwQ0vhIfC4q+\nfrwDBSjaEsvktJvWHmmdI4QQl5OaliH+8ueHebei+1IPRVwGfAmu6gCd1WrVAFGAE0i12Wzvz73+\nHrBnuQt8JGcf1yTtXNVAA5EWH0lsVAhnGwdxezy43B7+4/kqpmbcfH5vHgmxS9eigvNLg5UXLQ26\nPW4eq30GFJhpLqK2xfdipRcqjiuYbeTcv3RJhsauEZq7RynLMXNd6ezsWE3rwurxQgghLp0Tcxuc\nTvlYX1FsbL5s3RtndkmwFjAD+4B0q9V6g81mexu4G4hY7gIfK7sdnU673CFr5qriJA6838LAuJNj\n1b00d49x0/ZU7r0pb8VzbzDu5LHaZ6gdreOTlvMV15+reYXO8W52JuzgnaNxVLUOc9f1OT6Nx2Ix\nnv9vjORbcqjtb0BvVIkJjVpw/KOvzNba+tgteWQkRfHzP1TR2D027zqb0Wb//oNFnmNwyHMMjiv5\nOdrahwGo6xgmNjYCrfbSpW5cyc9xo/AluPom8IrNZvtrq9WaBrwBfAz4X1ar9X8Ch5jNvVqS3e5Y\n9UADZU2N5gDwyz9U0tA5QrwpjI9dn0V//+K9AedTyIhKo6a/gdauXsL14fQ5Bniq8gWMhkg+nnsX\n1dFnOFbdQ1f3yJJLjF4Wi3HBfQuirdT01/OW7SjXJu+e95p9bJp3z3SSbI4gKSYE59QMKZYIqpsG\nfbrfRrXYcxT+k+cYHPIcg+NKfo4Dw5N09s8WlXZMuThe2U1W8sJfltfDlfwcLyerDVB9+elsZzav\nCmAI0DM7e/VZm812CxAHvLaqUayh/PQYQvRaGjpH0GoUHrq3iLAQ32ttlZgL8ageqgZtC1rcRBgi\n2JZnYWrGTW1bYLv4zpVkWGRp8O3Tnbg9KrduTz2XIFmQbmLG5aGpa2TB8UIIIdZfVctsqkZuajQQ\neOpGz0QvvY6FfWvFlceX4OpHwDar1XqI2Vmr/w5UAAetVuv7wKjNZjuwhmNcFb1OS/GWWAA+fmM2\nmYn+/TZxYauaxVrcbJ0rVnqqLrA3hCU8jqSIBGz2eqYvaOTsdHl461Qn4SE6ri5KPPf1ggwTEFhJ\nhqpBG62j7QGNUwghxOKqWmY/j727zwP5fHZ73Pzo5M/5t9P/F1VVgzo+sf5WnMKx2WzjwCcWeWl/\n8IezNj55cw5b88zzghRfJUUkEBdqomrQRs1Q3YIWNzmp0USG6TlVP8DnPqSiCWALbqm5iFda36Bm\nqI7yud6Lx2p7GXU4uX1XOiGG8/lq1vQYFAVqW+1wne/36Brv4WdnHsEUGsPDV/+VbBUWQogg8HhU\nalqGiIsKITc1mlRLBPUdIzhdbvR+5Bo3jjQz7pwA5wQd492kGZPXcNRirW2KpB1zTBjXFCcFFFAo\nikKJuZAp99SiLW60Gg3lOWZGJmZo7gps12CpZa4kQ/9sSQZVVc+VX7hpW8q8Y8ND9WQkGGnsGmXa\nj1Y4f2g8gIrK0JSd9vHOgMYphBBivpaeMSamXBRtiUVRFAoyYnG6PDR0+vfz4MLUkKrBmmAPU6yz\nTRFcrZY3L2qpFjfeRs4n6wNbGkw3phJtMFI5WINH9dDUNUpLzxjluWYsMQsLrxZkmHB7VBo6fMu7\nqh2qp3Kwlgj9bOmJM32VAY1TCCHEfFXNgwAUbYkDAkvdUFWVioEqQrQGNIqGyoHa4A9UrCsJrnyQ\nZ8rmCwWf5MGSzy/a4qYw04RBr+FUXWD1TWYbORcy4XTQNNLK6yc6ALh1e+qix/vz5vWoHp5reBGA\nPy75InqNjtM+9jMUQgixvKoWOwrnP5et6TFoFMWvpPbO8W4Gp+wUxxWwJSqDltE2xmcm1mjEYj1I\ncOUDRVHYnbSdmJDoRV836LWUbImjZ8hB92BgbwhvBfujnRUcr+0jxRxB/tyb9WK5qTFoNYpPwdWx\nnlO0j3exM2EbOTFbKIy10jPRS89EX0DjFEIIMWty2kVj5wiZSUYiw/QAhIXo2JJkpLlrjMnphX1t\nF+Pt0lFmKaLYnI+KSvWQbc3GLdaeBFdBsjVvdtfgyQB3DeaZcgjRGjjZexa3x8MtO1KXzBELMWjJ\nSo6ipWd00abUXjNuJ/ubXkGn0XFP9ocAKJtLmD/TL0uDQgixGra2YdwelaK5Hele+RkmPKpK3Vxh\n0ZVU9FehVbQUxuVTHOftDCJ5V1cyCa6CpDTbjEZROBng0qBeoyPflMcko4RHT3F14fI7GwsyTKgq\ny75532p/F/v0MDel7iE2dHYWrNhcgEbRcKZflgaFEGI1vPWtijLnB1eFfqRuzG4y6iLPlE2YLpSk\niARMITFUD9Xh9vi+aUlcXiS4CpLIMD3W9Biau0exjy1bsH5J4dOzOwMzrY555RcWs1Le1djMOK+0\nvkGEPpwPZd507usR+nDyYrJpHWtnaCqwwqdCCCGgqnmIEL2W7JT5KSPZKdHotBqfgivvLkHvxilF\nUSg2FzDpmqRppDX4gxbrQoKrIPIWFD0dwK5BVVWprwlFVRWc4St3Vc9KjkavW/rNe6D5dabc09yZ\neRthuvk7Ds8vDcrslRBCBGJwZIqeIQf56THoLuojaNBryU2Npr1vnDHHzBJXmOXNt/KW5AEojssH\noGpQdg1eqSS4CqKtud6SDP4vDTZ2jtLeNU2EK54ORwcj08vXSNHrNOSkRNPRP87oRW/e3ok+3u06\nQnyYmT0puxecW2YpQkGRvCshhAjQuSXBi/KtvLwbkmrblk7dcDgd1A83kWFMm7dhKs+UjV6jo1Lq\nXV2xJLgKorjoUDISjNS22nFMOf069/UTs21ptifOziqdHVjYa/Bi3qVB20Vv3j80voRH9XBvzp3o\nNAuL8EeHRJEZlU7DcDNjM+N+jVMIIcTskiAsHVz5kndVOViLR/XMm7UCMGgN5Jly6J7oZXBS0jeu\nRBJcBdnWPDNuj0pF06DP5wyNTnG8tp9USwS35O4AoMKP4OrCN2/DcDNnBqrIis6kbG4NfzHl8cWo\nqJyVHSlCCOEXj0elumWI2KgQEmPDFz0mM8lIqEFLTcvS9a68n/Oli3xWn18alM/oK5EEV0Hmrdbu\nT0HRt0534lFVbt2RhiU8juSIRGz2BqZcyyfGe9+8tXPBlUf18Gz9CwB8JGffsu1+yszevKuzPo9T\nCCEEtPbOtbzJjF3yc1ar0WBNi6HXPsnQ6NSC150eF9WDtZjD4kiKSFjwepG3JIPkXV2RJLgKshRz\nBPExYVQ0DeJ0eVY83uly89apLiJCdewunH2DlVqKcHlc1AzVLXuuVqMhLy2GniEH9rFpTvZV0DrW\nzrb4UrZEpy97riU8jpTIJGqH6pl0LXzjCyGEWNxKS4Jey+3qrrM3MO2eocxctGiAFhdmIikigTp7\nAzPu5ZPixeVHgqsgUxSFrXlmpmfcPrU/OFrTx/ikk+vLkwnRz5ZfKDXPNXL2oU2N981b1dLP840v\noVW03Jt9h09jLbMU41LdVMtvRkII4bOq5qF5LW+WUjBX/2qx4Mq7W9vbnWMxxXEFOD0u6uyNgQ9W\nXBISXK2Bc7sGV1gaVFWV1463oyhw09aUc19PN6YSExJN1UDtikXkvG/uQ12HGZyyc0PqNZjD4nwa\nZ/lcSYbTsmtQCCF8MjXjoqFzhIxEI8Zww7LHplgiiAzTU9NqR1XVc1/3qB7ODlQTqY8gKzpjyfOL\nzbI0eKWS4GoN5KREYwzXc7q+H49HXfK4hs4R2nrH2ZZrwRx9vhaVoiizjZxdDppGWpa9V2p8JOER\nHjo0pwnThXF75i0+jzM5IhFzWBxVg7U43f7tbhRCiM1oqZY3i9EoCgUZJuxj0/TaJ899vXW0g9GZ\nsXMdM5aMA36sAAAgAElEQVSyJSqdcF0YlQM184IzcfmT4GoNaDQK5TlmRh1OmrqWrlf1+vEOAG7d\nkbrgtfNLg8vvGtQoCqacdtA6uS7heiL0i+9cWYyiKJRbipl2z1Brr/f5PCGE2KzO5VtlrhxcwQV5\nVxfsGjxXOHSZHd0AWo2Wgtg87NPDdE/0BjJccYlIcLVGtuZ5C4ouXq19aHSKE7Z+Ui2R5KXFLHg9\n15RNqDaEiv6qZX9j6XcMYg+x4ZkKI2oy1+9xlsnSoBBC+KyqZfGWN0spyFyY1F7RX4Veo6cgduXP\n7PNLg1KS4UoiwdUaKcwwEaLXcrKuf9Hg6M1T3vILqYvuFNFrdBTEWRmYGlr2N5bnm15CxYOrI4+6\ntjG/x5kZlUa0wcjZgWppEiqEEMsYGp2ie9CBNT0Gvc63H5/xMWHERoVQ2zaMR1XpdfTT4+ijIDYP\ng3b5nC2AwlgrCgqVA5J3dSWR4GqNGPRairNi6bNP0jXomPfajNPN26dnyy9cVbiwvonXSrsGm0Za\nOdlXQWZUGhHT6QuSJn2hUTSUWYqZcDpoHGn261whhNhM/F0ShNn0i4IME+OTTjr6xqnwYZfghSIN\nEWRGpdM82sqE07HyCeKyIMHVGjpfUHT+0uAHNb2MTzq5oTwFw1z5hcUUx+WjUTTnuqZfSFVVft8w\nWzD0vpx9FGbEMjoxsyCQ84UsDQohxMpW6ie4FG/eVXWLnYqBKhQUSuaKhPqi2JyPR/VQM2jz677i\n0pHgag2VZseh1SicuiDvSlVVDh7vQKMo88ovLCZcH05OTBatY+0MT4/Me+1MfyVNI62UWYrJidly\nvknoMn2slpIbk0W4Lowz/VV41JULnwohxGbjUVWqW+yYjCEkxfm+cQigIGM2GKts76J5pI3smEwi\nDRE+ny/V2q88ElytoYhQPdb0GJq7x861P6jvGKGtb5xteWbiokNXvIZ3afDCRs4uj4vnGg+gUTTn\nCoYWrCK40mq0lJgLGZ4eoW2sw+/zhRBio2vrHWN80rlsy5ulmIyzPQgbx+tRUVfcJXix1MgkYkKi\nqR6yyS/AVwgJrtaYt6DoqfrZgqKvH28H4NYdaT6d730TXrg0+G7nB/RPDnJdylUkhM9e3xIThjk6\nlNo2O54A6qF4lwa9VYOFEEKc52vLm6UUZJpQjT3AyiUYLqYoCkVxViacDlpG2wK6v1hfElytsa25\nZgBO1ffTZ3dwsm6A9PhIclN928YbF2YiJTKJOnsDU64pHM5JDrS8Rqg2lDsyb513bH6GiYkpF+29\n436PsyA2D4NGz+m+s1KsTgghLuJteVOYuXzLm6XkpEagiR4kUonFEu5bF40LnVsalF2DVwQJrtZY\nbFQomYlGbG3DPH2wHo+qcssS5ReWUmoumu0BOFTHq61vMuF08KGMmzAaIucdt1yT0JUYtHoK4/Lp\nmxyQYnVCCHGB6Rk39R0jpCes3PJmKUrUAIrGg2YsMaDzraYcdIpW6l1dISS4Wgdb8yy4PSovHW4h\nMky/bPmFxZRaZvOu3ul4nzc73sUUEsONaXsWHJefPpd31eZ/cAXnew3K0qAQQpxna7f73PJmKXWj\nszv9htpjmHb6X1MwVBdCrimbzvFu7FPDAY9DrA8JrtbBtrmlQYAbypPR65Yuv7CYtMgUTCEx1A83\n4fK4uCf7dgxa/YLjvLtYbO3DuNz+Jz0Wm/PRKlrO9J/1+1whhNioKleZb+X2uKkcqMFABM4xIw2d\nIyuftIjiuaXBKtk1eNmT4GodJJsjSDCFodGsXH5hMd5GzgBpxhR2JJQveWx+honpGTctPf5Xaw/T\nhWE15dA+3sXA5NDKJwghxCZQ3WLHoNeQ42PLm4s1jrQw4XKQa8wDFGpaAltdKDbnA1KS4UogwdU6\nUBSF/3ZfCQ8/eDWxUSuXX1jMnpTdJEUk8Mm8Dy/bRb0gPfC8Kzi/NFghBUWFEIKh0Sm6Biawppl8\nbnlzMW9V9mvTy9FqlIA/n81hcSSEx2MbqsfpdgZ0DbE+dCsdYLVa9cCjQCbgBh4EQoGfAy6gDviy\nzWaT4hvLSIuPxGIx0t/v/4wSQEpkEn+7+1srHmdNn20CXdtq5+5rMv2+T6mliMdtz3K6v5Kb06/3\n+3whhNhIAq3K7qWqKhUDVYRqQymy5JKV7KChcwTHlJPw0IXpHSspjsvnYPs71A83URhnDWhMYnlH\na3q5y2Jc1TV8CcPvBHQ2m+0a4GHge8B3gIdtNtseIAS4a1WjEEFjDDeQFh9JfccITpf/SZNGQyRZ\n0Zk0jbQyOhNYICiEEBvFautbdU30MDhlpyjOik6joyDDhKqCrT2wpHRZGlw7jikX/7m/ip//YfWb\nunwJruoAndVq1QBRgBM4BcRarVYFMM59TVwmCjJMuNweGjtHAzq/PL4YFfXcVLYQQlzuxiedARVQ\nXo635U1MpIFkP1veeJ2ZS7Eom2vUfK5kToB5V9nRWwjVhlI1UCM1CYOorn2Y7zxylMNVvWxJilr1\n9VZcFgTGmV0SrAXMwD4gA/gp8LfACPDWchcwmcLR+blDbqOyrHKq0Re7S5N59Vg7rQMTXLcj3e/z\nbw7fzTP1+6keqeW+8tvWYISrtx7PcTOQ5xgc8hyDw5fnqKoqQ6NTNLQP09AxQkPHMI0dw9jHptlT\nlsz/9/kdfrenWUpDxzDjk05u2ZlGfHxgP3CrT9Wi1Wi53rqDcH0YMaZwDE9VUN85EvDfm/KkQo50\nnMQZ6iAlamHdLPn76DuX28Njr9TyzBv1AHzytjw+ddvql1t9Ca6+Cbxis9n+2mq1pgFvANHAdTab\nrcpqtX4V+CHw1aUuYLc7Vj3QjWA1OVf+SIwKQaMonKjp5UPbUwO4goE0YwqVvTZau/oI14cFfYyr\nsV7PcaOT5xgc8hyDY7HnqKoq9rFpWnvGaOkZo7V39t+jEzPzjjMZQzBHh/LumS4sUWe5+9otQRnT\nuydn25VlJwX2Zzw0ZafZ3k5BbB4Twy4mmL1Gbmo0Vc1DNLQMEh3hf1HSHGMORzjJO/XHuTX9hnmv\nyd9H3/UMOfjP/VU0d49hjg7lwbsLyU2NwT40seoA1Zfgys75Zb8hQM/sbJV3zakLuHZVoxBBFRai\nIzPJSHPXKFMzLkINvvwxz1duKaZ9rJPKwRp2JW5bg1EKIYKhe3ACx5SL7ADLBFwuvDNSLd5AqmeM\n1p5RRh3zs05io0LYmmsmM9FIRmIUmYlGoiIMjDpm+IdfH+P3h5pJtUSyNc+y6jFVzy3dFWYElm9V\nMTDbE/biXoIFGSaqmoeobbWz28+i0gBFc4nslQM1C4IrsTJVVXn7TBdPHKxnxunhmuJEPntbHmEh\n/v+sXIovV/oR8IjVaj0EGID/DrQBT1itVhcww+wOQnEZKcgw0dQ1Sn3HCCVZ/vexKrMUs7/pFc70\nV0pwJcRlanLaxT89foqJSRc//tq1Ae0+u9Rcbg8HjrTy1ukuhsem570WFxXCtjwLGYnGuWDKSNQS\n7WdmlHE+fVcSv3i2kV+8UMXffn4HKZbIRY/1xWzLm2HSEyKJCmB2Cc6XYPB22fA636psKKDgKspg\nJMOYRuNIC5OuScJ0l9fqwuVs1DHDoy/Vcqp+gIhQHV+6s4BdBf7/GaxkxeDKZrONA59Y5CWZrbqM\n5WeYePFwKzWt9oCCq8TweBLCLVQP2phxz2DQBvbhIoRYOy8cbmFkfHaJ7GTdAHtKky7tgPzU2DnC\nr1+qpXNggqgIA9svCKTSlwmkLuT2uHmx+TVeaX0DAG0ZqB4NPzjxNhlxZkxh0cQYoogOiSLKYCQ6\nJIqYkCiiDFGE6UKXzM+a7XQReMsbh3OS+uEmMoxpxITMn1XMSDASHqILuN4VQJE5n9axdmqG6tkW\nXxrwdTaTs02DPPJiDSMTMxRkmHjgroKAa0+uJHhzYOKykpMSjU4beLE6RVEosxTzauub1AzVUTZX\nXFQIcXnoHXLw6tF2osL1jDqcHK3tvWKCq6kZF8++3cTBEx2owI1bU3joo2U4xqf8us7w9AiPVD5G\n40gz5tBYrLG5jM6M0jLQzyhjtIy20TK29I46vUZPdEgU0YYookOMpBtTuSltDzqNjmpvfavMwIKr\nqsFaPKpnwawVgEajYE2P4VT9AAPDk5hj/J95Ko7L50Dza1QO1EhwtYIZp5un3mrk4IkOtBqFT9yU\nw95daWiCtPFhMRJcbVAhei3ZydHUtQ8zMeUkIoDlgvK54OpMf5UEV0JcZh4/WI/bo/K5vVZePNJK\nTYud8UknkWGX99Lg2aZBfvNyLYOj0yTEhnP/HfnkpcUQEab3K7iqHrTxaPUTjDsn2Gop4bMFHzu3\nPOZRVX7ydAVnGge4caeZG3fFMTI9OvvPzNi5/x6dmf1300gLKion+yo41XeWLxV/hqrmIQw6Dbmp\ngeWynRmYWxK8KN/KqyDDxKn6AWpa7VwXQHCVZkwhymCketCGR/Us27ljM2vrHeMX+6vpGpgg2RzB\nH99dSHrC2u+mlOBqAyvIMGFrH8bWNsy2AJI7042pxIREUzFQjdvjRquRchpCXA7ONAxQ0ThIQYaJ\n7VYL/cOTtPaMccLWxw3l/vUvnXJNc6z3FLsTt63p8v+YY4bHD9ZzpKoXrUZh3zUZ3H1Npt+N7C9c\nBtQpWj6R92GuT7l63vKeRlH443uK+O5vjvPWsUGy4+O5tmThDJKXR/UwMj3K/qZX+KDnBN8/+mPG\nPPkUpBf5PT4Ap8dF9WAt5rA4kiIWz+cpmJsRq2m1c11Zst/30CgaiuLyOdx9jLaxDjKj/C+7s5F5\nVJVXj7bz7DuNuNwqt2xP5eM3ZmPQr8/PMQl1N7D8jNX1GVQUhXJLMZOuSeqGG4M5NCFEgJwuD48f\nrEejKHz61lwURWFnfjwAx2r7/LqWqqr8tua/eML2LK+1vrUGo529x5GqHv7mPz/gSFUvW5KM/M8/\n2slHrs/2O3AZnh7h/5z+Ba+0voE5NJZvbf8qN6Res2jeVFiIjj/7aCnhIToefdlGU9fSRZU1igZT\naAxfKPwkXyj4JG63B0POGVyJp5lxzyx53lLq7A1Mu2coMxctmdOVHBdOdISBmlZ7wMVAi+PmqrUP\nSLX2Cw2NTvHDJ07zX282EB6q5xsfL+Ozt+WtW2AFElxtaFnJURh0GmrbAk+a9C4HnpFq7UJcFl47\n3k6ffZKbt6WQOrcbzhwTRlZyFDWt9gU1oJbzbtcRTvWfBeC9rg9we/xvmbWcgZFJfvxUBb/YX82M\ny82nbs7hbz6/g7R4/3fx1QzW8YOjP6ZhuJlySwl/tevrpEctX8cvITach+4twu3x8JNnK7BftBtx\nMbuTtpM9cReeCSOtrmr+6fhP6Brv8Wus53cJLr4kCLO/vBZkmBiZmKFrMLBakPmxuWgVLVWDNQGd\nvxG5PR5++ORpalrtlOeYefiBXZRm+7+pa7UkuNrAdFoNuWkxdPZPMOLHB+6FsqMzidRHcKa/Eo8q\nvbmFuJTsY9Psf6+FyDA9H75ufqHMXfnxqCqcsPk2e9Ux1sXT9fuJ0IWzNb6UkZmxc3lCq+XxqLx2\nvJ3/8X+PcrZpkKJME//wwG727kpHo/EvidjtcbO/8WV+euaXTLmm+HjevXy5+HM+lx8ozorj4zfm\nMDI+w09/f3bFnqseVaWx2U1I2/Vcn3I13RO9/NPxn/Be1wc+zTB5VA8VA9VE6iPIis5Y9ljv6kJt\ngKsLobpQcmK20DbWych0YO3ONpoPqnvpHnRwbUkiX/toiU87TteCBFcbnLeeii3A2SutRkupuZDR\nmdmdN0KIS+fptxqYdrr52I3ZC2pa7ZhbGjxas3JwNeWa5pdVv8XlcfH5wk+wb8teAA51HF71GDv7\nx/nBb0/w+Ov16LQKD9xVwJ9/shxLAEnb3mXAl1vfIDbUxJ9v/2/cmHqt3+1tPrQrjauLEmjqGuU3\nr9iWDZLae8cZczgpybDwSet9PFjyBXQaHY/VPsOvqh5j0rV80n3raAejM2MUmwtWTDIvnPt89u5M\nDIR3abBq0BbwNTYKt8fD/vda0GoU7t2zJWhtkAIhwdUGV7DKvCs4vzR4eq4BqRBi/dV3DHO4qpeM\nRCN7ShaWXIiNCiU3dXaH8ErLX0/W/Z4+xwA3p11HibmQxIh48kw51A030jPRG9D4nC4Pzx1q4u9+\ndYzGrlF2FcTz3Qev4tqSpIB+yC1YBtz5dTKi0gIam6IofPH2fDITjbx3tofXT3Qseaw30Cmcq29V\nbinmr3d+gy1RGZzoO8M/Hv0xraPtS55fscIuwQuZY8IwR4diaxvG4wks76rIXAAgS4PMzlr12ie5\nrjQJc3TghVVP9J5Z9VgkuNrg0hMiCVtlsTqrKYdQbQhn+iqlC7sQl4DHo/LYa7ONZT97a96SS2u7\nChJQgePLLA0e6T7O0Z6TZBjTuDf7jnNfvz7lagDe6Tzi9/iaukb5u18d5fn3WoiKMPBnHyvloXuL\nA+qb5/a42d/0Cj8980smL1gGXG2PU4Ney59+pISoCANPHmxYcraosnkuuLqgvlVcmIlvbnuIvRk3\nMThl54cn/p032t5Z9POwor8KvUZPQWyuT+MqzDThmHbR2htYP8CEcAuWsDhqh+pxeVwBXWMjuHDW\n6s6rl1+OXY6qqrzW9taqxyPB1Qan1WiwpsXQZ59kcMS/An1eeq2eorh8BqaG6JrwL7FTCLF6hyq6\naO0d4+qiRHKWqbu03WpBYeldgz0TvTxp+z2h2lC+VPwZdJrz1XhKzYVEG6L4oPsEU66VE7+9HFNO\nfvjkKboHHdy8LYXvfnk35Tlmn8+/0PD0CD85/Z+83HKQ2FAT3wpwGXApsVGh/Ol9JWg08LPnKumz\nz08kn3bOtbyJj1wQGGo1Wu7NvoOvlj9AuC6MZxpe4OcVv2Z8ZuLcMb2OfnocfRTE5vlc1mK1eVcA\nxXEFTLmnaRhuDvgaV7pgzVq1jrXTPta56vFIcLUJeJcGg7Fr8HTf2aCMSQjhm4kpJ8+83USIQcvH\nbsxe9tiYyBCs6TE0dIwwNDr/l6kZt5NfVv6OGY+TzxZ8DHPY/B1UWo2Wa1N2M+We4njvKZ/H986Z\nbian3Xz0hiw+t9cacPPbip4afnD0x9QPN1FuKV7VMuByclKj+fxeKxNTLn7yzFkmp8/P9tTPtbwp\nXKblTUFsHn+965vkm3KpHKzhB8d+TL29afZ78GGX4ILrzTWFrl5lKxyYrQq/GQVr1grgUIf/M7eL\nkeBqEwhG3lVRnBWdRid5V0Kss+cONTM+6eSeazIxGUNWPH7nXBPai2evnql/nq6JHq5LuXrJdinX\nJu9Co2h4p/OwTykAbo+HgyfaMeg13LjVv+KlFzrac5Lvvf2T2WXA3Hv5cvHnV70MuJzrypK5ZXsq\nnQMT/PLFGjxz36t3SXClfoLRIUa+Wv4A92TdzujMGP966j840PwaZ/qrUFAoiSvweSzREQZSLBFz\ngV1gO7JzYrIwaA1UDmzOvKtgzVpNOB2c6Du94BePQEhwtQkkWyIwhutXVawuVBdKvimXrokeeh39\nQR6hEGIxHX3jvHmyk4TYcG7b6dssznarBY2izNs1eKL3NO92fUBKZBIfzdm35LkxIdGUmYvoHO+m\nebR1xXudsPUzODrNnpKkgFpsAUy7Z3i24QUMOsPsMmBa8JYBl/PJm3PIT4/hZF0/z787u5xW1TKE\nXqchz4eWNxpFw4cyb+YbWx8iJiSaF5tfo3m0leyYTCINEX6NpSDdxIzLQ2PnSEDfi16jo8CUS9/k\nAN1j/hWSvdIFc9bqSPdxnB4X16VctepxSXC1CWgUhfx0E/axafrskwFfZ3tCGTD7F1AIsbZUVeWx\n1+vwqCqfviUXnda3j+uocAMFGTE0d4/SPzxJv2OQx2qfwaA18EDRZ9Frlw+Crk+dS2z3oSzDa8dn\nd83dtiPw5bs3299lbGacfXm3rMky4FJ0Wg1f+XAx5uhQnn+vhYMnOujsnyAvLcavyvHZMZn89a5v\nUDa3O3BHwla/x1KQufrVheK5XYMnuzZX6sbR6r6gzFp5VA/vdh5Bp9FxVdKOVY9LgqtNYrWtcADK\nLSWE6cL4oPt40Cs5CyHmO2Hrp7ZtmLLsOL8rTHuXBo/UdPNI1W+Zck/zqbz7SIiIX/Hc3JhsEsLj\nOdVXwdjM+JLHNXaN0Ng5Sll2HAmx4X6Nz2vC6eD1treI0IVzt/XWgK6xGsZwA3/20VJC9Fp+91od\nAEWZyy8JLiZCH86DJV/gO1d9mz3Ju/0+35oWg6KsNnVjNu/qZPfmSd1wezw8/35wZq3q7I30TQ6w\nPb6MSL1/M4+LkeBqk/DmXa0madKg1bMrcSsjM2NUD0nBOiHWyrTTzZNvzBbh/NStvm3pv9C2PAta\njcLbva/TNtbJVYk72J203adzFUXh+pSrcaluDncdW/K4147Nzlrt9XG5ctFrtL7FpGuKvZk3EW5Y\nuxyr5aTGR/LAXedzpIpXyLdaiqIoxIdbAlrSDA/Vk5kYRVPXKNMzgf3iGh0SRZoxher+eqZWKHS6\nURyt7qN3yMGeVc5aARzqnJ2pDcaSIEhwtWkkmMKIN4Vxun6AkXHft1lf7OqkXQC8v8yHrhBidV46\n0srg6DR7d6aTYPJ/VigyTE9GnoPJqAbMIWY+Yf2wX+fvTtqGQaPnUNeRRdteDY5Mcby2n1RL5LlZ\ncX8NT4/wVsd7xIREc33KNQFdI1h25Mfz2dvyuK40iRTL6mctAlGQYcLtUanrGA74GsVxBbg9bs5u\ngsT2C2et7lrlrNXw9AgVA9WkRiaTGZUelPFJcLVJKIrCh3al43J7ePXY0tWFV5JmTCbdmELlYI30\nshJiDQwMT/LSB23ERBrYd01gPzSGpuwMRh9B9WiwqjcT4mPNJa8wXRg7E7cxNGVfdHv/Gyc78Kgq\nt+1MDTj5/KWWgzg9Tu7MvBXDCnlg6+GW7ancf2fBJWuZEoy8q52Js/leh7s3/i+/wZy1eq/rKB7V\nw3UpVwXtz1+Cq01kT0ki0REG3jzVycSUM+DrXJ20C4/q4YPuE0EcnRAC4Mk3GnC6PHz8phxCDf7X\njHJ73Pyq6jFm1Gnc7QXU2gJbZjpfsX1+YvvUjIu3T3cRFa7nqsKEgK7d7xjk/a6jxIeZg5I8vBHk\npESj0ypUNg0GvKs7IdxCgSUHm72BgcnA+xVe7oI5a+X2uHmv8wNCtSEBbUZYigRXm4hep2XvrjSm\nZty8sUxvrZXsSChHr9HzfvdRaYcjRBBVtQxxoq6fnNTogAOXF5pfpWmkle3xZRQay+non6BrYGLl\nEy+SakwmKzqTmsE6+h2D577+3tkeHNMubtqW6teuuvljfAWP6mFf1l60msCusdGE6LWUZpvp6J+g\nqTvwVYGbtswusR7ZwLNXwZy1OjtQzcjMKLuTthOqW7mOnK8kuNpkbixPITxEx2vHOwJOnAzXh7E1\nvoT+yUEahpuCPEIhNieX28Pjr9ejMNs/MNBmx6+2vok5NJZP53+U3XO7Bo/WBNaM+fqUq1FRebdr\ntmq1R1V5/Xg7Oq3CTQEWDe0Y6+JE7xlSI5PZukQx083q5m2zz3Q1v/xelbaNUG0Ih7uPL5ovd6Xz\neNSgzVoBHJrrpbknOTiJ7F4SXG0yYSE6btmeyvikk3fOdAV8nWu8ie0b+LcjIdbTmyc76RqY4Iby\nZDISjX6fPzI9yqPVT6BVtHyp+LOE6UIpyzGj12k4VtsX0CxzeXwJkfoIDncdY8btpKJxkF77JFcV\nJhIVQFNmgP1NL6Oick/2HWgU+RF0oYIME0lx4Ryr7WN0Yiaga4TqQtieUM7w9Ag1Q/VBHuGl90FN\nb9Bmrfoc/dTa68mJ2UJyZGKQRjhL/mZvQrfuSMWg1/Dy0bZVtFvYQnyYmVN9FTicgRcmFULA6MQM\nz73bTHiIjvuuz/L7fI/q4dfVTzDmHOe+nLvOFeMMC9FRmh1H96CDjn7/lwb1Gh3XJO9iwuXgVF/F\nqssvNA63UDlYS07MFgpj8wK6xkamKAo3b0vF5VZX98tv8k5g4yW2ezwqz78X/Fmr6+byC4NJgqtN\nyBhu4IayFOxj0xyu7AnoGoqicHXyTpweF8d7Twd5hEJsLs++08jktIv7rs/CGO7/jNArLW9QZ2+g\nxFzIjanXzntt17leg4EtDe5JvgoFhdda3qWm1U5BhonU+Ei/r6OqKn9oPADAvdl3XLJdeZe7a4oT\nCTFoeet0J25PYL/8ZhjTSI5IpKK/ivEZ/4Pqy5V31uraktXPWs24nRzpPo5RH0m5pThIIzxPgqtN\n6kO70tBqFA580IbHE1hS+u7EHWgUDe93Hw3y6ITYPJq7Rzl0ppsUSwQ3bk32+/x6eyMvNr+GKSSG\nzxd8YkHQUpoVh0Gv4WhNYEuDcWEmis35dE92ooSPBDxrVTVYS+NICyXmArKiMwO6xmYQFqLjmuJE\nhkanOV0/uPIJi/D+8utW3RztPRnkEV4aF85a7QvCrNXJvjM4XJNcnbwTncb/XbkrkeBqk4qNCuWa\n4kR6hxycqAusEXN0iJHiuALaxzppH+sM8giF2Pg8c/0DVWaT2LUa/z6Sx2bG+VXV4yiKwv1FnyFC\nv7DgaIhBS3mOmT77JG29S7ezWc72uNllJmNaFyV+tuKB2WXL55teRkHh7qzbAxrDZnLz3GaBN04G\nnti+K2EbWkXL4a5jG2JX97xZq5jVV/N/p/MwCkpA7Yp8IcHVJnbnVRkoCrx4uCXgN593bV8qtgvh\nv1ePttPYOcqO/Hi/K517VA+/qXmSkZlR9m3ZS3ZM5pLH7sxf3a7BjsYwPFNheKI7mXL5n2N5sq+C\nzvFudiSUkxKZFNAYNpMUSyT56THUtNoDKqMBEGmIoNRcSNdED61jgReOvhwEe9aqbayD1tF2iuLy\niQsLrN3RSiS42sQSYsPZYY2nrXecqubACs4VxlqJNhg51nuSGXfghUmF2GwaOkd4+q1GoiMNfO42\n/y2X5UMAACAASURBVJO7D7a9Q/WgjYLYPG7LuHHZY0uzYwk1aAPaNeh0uXnrdBeaoUzcuDjS41/x\nYLfHzQtNr6BRNNy1Za9f525mN29LBWZ3kQbq6uSN0a4s2LNWhzq8iezBLb9wIQmuNjnvjosXDrcG\ndL5Wo+WqpJ1MuqY43X82mEMTYsMan3Ty8z9UoqLyJ3cX+V3WoGmkleebXibKYOSLhZ9asaSBXqdl\na66ZgZEpvwtUHqnqZczh5Nq53JRDHYf9qp/0fvcx+icH2ZO8G0u4/0uKm9XWPDMmYwjvVXYzOe0K\n6BoFsbmYQmI40XuaaXdgpR0uNY9HZX8QZ60mXZMc7z1FXKiJwjhrEEa4OAmuNrn0BCMlWXHUtQ9T\nH2DD0KuTvEuDktguxEpUVeWRF2sYGp3m3j1b/F4OdDgdPFL5O1RV5f6iT2M0+LZzb6d312BNn19j\nfe14OxpF4fYdOWyPL6NvcoA6e6NP58+4nbzU/Dp6jZ7bM2/x+b4CtBoNN5YnMzXj5nBVYLu6NYqG\nq5K2M+We5lRfRZBHuD6O1vTSE8RZqw+6TzLjcbIn+ao1rbO24pWtVqvearU+ZrVa37darYesVmu+\n1Wp9wmq1vjX3T4vVan1izUYo1px39urFAGevLOFx5MVkUz/cRJ9jIJhDE2LDefVYO6cbBijIMLHv\n6ky/zlVVld/WPIV9epg7Mm8hz5Tj87nFW2IJC9FxrLYPj49LgzWtdjr6J9iRbyE2KpTrUxfvN7iU\ntzveY2RmlJvS9hAdEuXzWMWs68tT0GoUDp7oCDgv9qqkKzcvNti5VqqqcqjzMFpFy9Vz+cJrxZew\n7U5AZ7PZrgEeBr5ns9k+ZbPZbgTuA4aBb67dEMVay0uLITc1morGwf/H3n2Ht3meh/7/vlgEBwAu\ncO8FkZREUdS2LG9ZnnGWk9hJ6ibNaHo6kp5mnZ70nJ729+uvV5v0NMNpEqdN6swmsR1PybZkaw9S\nmyJBcW+CEyRIkMR4f3+AoCSLAy8AigD1fK4r15WLwPPi0WsCvPE893PfdA5MBHWNnWu0aJ0ghFNL\n71yeVbyOzz5eiUqlrNbTu93HuTBUT2liEQ8V3q9orEatYnNZKqMTM7T02AMac2C+aGge4KuflGfI\n5uJgPaPTS690T7mcHOg4RKwmlgfy7lI0V8HHFK9j67o0+oanaOwMbmchNTYZS1IJLfY2BqaCOxm+\nWsK9atU81kr/lI3qtA0Br/gGK5DgqgnQWCwWFWAErs9a/t/At61Wa99KTE64dR6Z+wb92sngVq82\nmTcQq4nlVF8tHm9wPQsFYS2bnHbx/Rfr8XplPvtYBSaFeVad49280PwKCdp4nqn8WFBbGtvmew0u\nvzXYNzzJxZZhirONFGX5Vp0kSeLO7F3IyBzrPbXk+Lc732XK7WRv3t3ELVAiQgjMvTW+xPZQ+g3u\nmlu9OhFFq1fhXrWCayuuK1GR/b0CqZzlAAqARiAVeBTAYrGkAfcRwKpVUlIcmiC7p681ZrPynmG3\nwr2pCfz+WDu1jTZcT0hkpSqP6vcUbGN/87t0uzvZkr2yDVkj9T5GG3Efw2O5+yjLMv/276cZHp/m\nqb0W9mxV9sdiyuXkP07/Arfs4c92/iGlmTlBzXNPcjw/eqWBs02D/OlHN6NeYuXsN4d9Tdk/dF/Z\nDf++fUm7ebHlFU70n+ETW55Ao775z8jY9DiHeo6RqDfyoep9xGgCCyTF7+PNUlMTKDrYzLnmIdBo\nMCctv4Lz3vt4X/JOft38EmdsZ/nU9g+hVkX+3+N3znbTPzLF3u35lJemhXy9MaedC4OXyTVlsaNk\nw4p3CAgkuPoisN9qtX7NYrHkAgctFssG4EPAz61W67LLFKOjUyFOc20wmw0MDga37XYr7N2aw/df\nsvOz1xp45qF1isdXJ1Wzn3d5o/Ew+brCFZihT6Tfx2gh7mN4BHIfD5zp4lR9P+X5Sdy7KUvRfZdl\nmX+v/zkDjkH25t9DtiYvpP9u1aWpHL7Qy/GzXYsm0zucLt4600mKUU9JRsJNr7c9YwsHu47wVsNJ\natKrbhr/66bfM+Oe4YmihxgfnQFmlp2X+H1c3F0bM2ntsfO7g1Y+sKd4yecudh+3pG3i3e7jvNN4\nho3mypWaalh4vTI/e70BtUrivmpl75fFvNF+CI/sZVf6NoaGli+mG2qgH8i68ijg36AfAbSAGrgf\neD2kVxciyhZLGmlJsRy/3MfoxPIfhu+Va8giz5DN5eEG7DPKjnsLwlrV1jfOfx1qxhin5bOPVSjO\nszree5o62wWKTPk8GoY6UdvKfasApxsX3xo8fKGXWZeX+2pyFqwav3uuPtCRBRLbh5wjHO05SYo+\nmV1zdZaE0GyrSCder+Hw+V5c7uD6De7MnKt5FQV5sddyrTIwhyHXyit7OdpzCp1ax9aMzWGY4fIC\nCa6+BWy2WCxHgIPA161W6yRgAVpXcnLCraVSSTy8Ix+3R2b/6c6grrEzcxte2csphYUGBWEtmpp2\n8eyLl/F6ZT7zeCWmhBhF43scffzX1ZeI08Tyh5VPhWU7x5KXiDFOS53VtmBjYLfHy9t13cRo1eyp\nWriaenqcmXVJpVwda6XXcWOZgNfa3sQje3i0aO+K9Gy7HcVo1dy5MYvxKRe11sBLaVwv15BFriGb\n+uHGiP7ye32u1SMKT9Mupn64kdGZMbalVxOr0YflmstZNriyWq0Oq9X6pNVqvdNqtW63Wq0/n/t5\npdVqDe74ghCxdlZmkGSI4d3zvTicyiuub0nfhFal5Xjv6TXRz0oQgiXLMj9+rZEh+zSP7iqgskBZ\nm40ZzyzPXf4ZLq+bT5Q/SbJeWT2sxahVKmrWpTEx5VrwBFqddZDRiRl2b8wkTq9d9Dr+sgxHek7O\n/6zX0c/p/rNkxWewJX1TWOYr+Ny9ORuJ0PoN7srcGvFffhs7R+kfmWLn+vCsWsGtTWT3E0VEhRto\nNSoe3JrLjMvDW7XK+1HFaWOpTtvAoHOY5jGxsCncvt6u6+Zs0yCW3ETet1t5DuKvrS8yMGXjntzd\nYc+R2bbOtzV45j29BmVZ5sCZLiTg/i1LJ82vTyknMcbE6f46pt3TALzSuh8ZmceL961ogcbbUVpi\nLBuKU2jpGaejP7gcpC3p1WhVGk70RW4z5+a5MiHVpalhud6Qc5iG4SYKjfnkGLLCcs1AiN9+4SZ7\nNmWREKvl7bpupmeVt13YFUV7+4KwEtr6xvn1oWYMcdqg6lmd6qvjZH8teYYcnih+OOzzK81JxJSg\no846iNtzbWuwpWectr5xqkpSSU9aunyCWqVmd9YOpj0znBk4R5u9gwtD9RSZ8lmfUh72OQvX+g2+\nHeTqVZw2lirzemxTQ7TY28M4s/Bp7fVtWRZlmcJyvaM9p5CR51dabxURXAk30es03F+Tw+S0m3fP\n9yoeX5JYSFpsKudsF5lyOVdghoIQuaam3Xz/pct4PDKfeayCJIOyPKv+SRu/bHoBvVrPpyqfXpG8\nJZVKYqsljclpN1faR+d/fuCML9dy79bcgK6zK2sbKknF4e4T/L7lDQAeL3poxY+5367WFyWTlhjL\nqSsDQaVtwLUvv5FY80qWZVp7x0kx6hXXgVuIy+vmRN8Z4rVxVJs3hGGGgRPBlbCge2tyiNGp2X+6\nU/HpFEmS2Jm1FZfXTe3A+RWaoSBEHlmW+Y/XGxgcm+bhnfmsL1TWqHjW4+K5y88z65nlqXUfXNFG\nx9vmew36tgaH7E7qmgbJS0vAkpcY0DVMMQaqzRvoneynaayFimQLpUlFKzbn251KkrhnczYut5ej\nF4Or3V2aVESKPpmztgs457ZzI8XgmBOH00VxdnhaJZ2zXcThmmRn5la06sXzB1eCCK6EBSXEarln\nUzZjjlmOX1b+Jt6esQWVpOJ4n2jmLNw+Dp7todY6SFmOiSfuVJ5n9durv6d3sp/d2TsWrB8VTkXZ\nRpKNMZy9OoTL7Z3rXwcPbM1VtPJ0fZLw48X7VmKqwnV2b8xEp1Fx6Fw3Xq/yvCmVpGJn5lZmvS7O\nDlxYgRn6Sh8EY35LMDM8wZX/sMXurB1huZ4SIrgSFrV3Wy4atcTrJzsXPLK9FFOMgfUp5XRN9NA1\n0bNCMxSEyNHRP8GvDl4lIVbL5963fsH6UEupGzjP0d5TZCdk8sGSx1ZolteoJImt69Jwzriptdo4\nfKEXY7xufkUrUCWJhdSkVfFA3t3kGrJXaLaCX7xey47KdAbHprnUOhzUNXZk1iAhLZgXK8tywI29\n32vWM8sPLv6Evz7290y7lddKDGe+VY+jj1Z7O+XJZSu6ArwYEVwJi0pMiGH3hkxsY05qG5U3/NyV\nFb3d2AVBCeeMm2dfvIw7yDyrwalhft74W3RqHZ+qfBrdLdrC8AdSzx9owjnj4d7N2Wg1yv4sSJLE\np9Y/zRMl4U+8FxbmT2w/eDa4L65J+kTKU8poH++8oU7ZuauD/Pm/HuWFw8pPek+5nHz7/I+4MFSP\nfXaC9nHltRJb+8ZRqyTy0kNvquxftbqV5ReuJ4IrYUn7duQjSfDqiQ7FR3crki2YdAbODJxj1hNc\n8qUgRDpfnlUjtjEnD+/IZ0ORsm/JLq+bH9c/z7Rnho+WvZ+M+ND7qAWqIMNAqkmPc8aNRq3i7mqx\n8hQN8tINlOSYuNQ6zECQ7eXmE9v7zuCVZV462sa3f3sJh9PFqSsDy4y+kX1mnH85931a7e1kxvsC\n9jZ7h6JruNxeOgcmyE1LQKcNrVjutHua0/11JMaYWJ+ivJVbOIjgSlhSWmIs28vT6R50cLFF2RK0\nWqVmR+ZWnG4n5wcvrdAMBWF1vXGinTONNkpyTLx/j/I8q5eaX6NzoocdGVvYnlkT/gkuQZIkts61\nw9m1Ph1jXOgntIRb497NvkD4UJCrVxtSy0nQxnOqr45v//Y8Lx1tI9WkpyDDwJB9mpHxwJLdB6eG\n+Wbd9+hx9LEnexd/uumzALQqDK46bRO4PTJFWaHnW53uP8eMZ5bdWTtWrUm1CK6EZT28Ix8IbvVq\nZ6ZvazASj/0KQqg6Byb44UuXSYjV8vnHKxXnWTWOXOVQ91HS49J40vLECs1yaXu35LKnKpPH71i5\nZutC+G2xpGGM13H0Yh8zLo/i8RqVhsrEDUy6p7g03EB5fhLfeGbr/FZxU/fyDVi6J3r557PfZWh6\nhIcL7ufJsvdhijGQGptC23inosT2a/lWoQdXJ/rOoJJU86kpq0EEV8KyctIS2FSSSnOPnaYuZR2P\nzHEplCUW0zTWgm1qaIVmKAi3ntcr8+NXG3C5vXz6kXKSjcp6lrk8Ln5p/R0SEs9UfpQY9eqsGpkS\nYnjmIeXzF1aXRq3irqospmbcirfxwJdfdfKw73cuo3SYL32kioRYLWW5vjIcV7vsS45vHmvjX859\nn4lZBx8uex+PFO2dP2VaaMzH6XZimwo8VzdcyexOt5OuiR6KTPmYYsJz6jAYIrgSAvLIzmurV0rt\nnPv2cEJUbBfWkEPneui0Obh3Sy5VJcpbdezvOMigc5i7c+8gz7B0qxlBWMjd1dmoJGmujEZguwpe\nWebFI618+7eX8DoTSNVmMkY347O+4CYvPQGdVrXkF+lLQ1f4zvkfMuOZ5ZmKj3F3zh03PF5k8v29\nULI12NprJ16vIT0ptH6CrfYOZGRKTKu7EiuCKyEgxdkm1uUlcrlthO+9cIlumyPgsZvMG4jVxHKq\nrxaPV/nytSBEGvvkLL873EpsjIZnHq1QPL5/coADHe+QGGPi0cK9KzBD4XaQZIhhc1kqXTbHfE++\npUxNu/nOby/x+2PtpJr0fP0TNewt3oWMzMm+WsC3IlacZaJnaHLBKvCn+ur4waWfAhKf3/gMWzOq\nb3pO4VxwFWhS+/jULINj0xRmGUOu7t8y1g5AUaIIroQo8YkHLRRmGqi1DvKNH5/mey9epntw+SBL\np9ayNb0a++wEV0ast2Cmwu3A7fFyuW04qEKKofqvQ804Z9x8YE8RSQZl22myLPML6+/wyB6eLHsC\nvUZsxwnBu69mrt9g3dL9BvuGJ/m7n9ZyvnmIigJfflVeuoGatCp0Ku3cqUFfjtT81uB78q4Odh3h\npw2/IkYdw59Vf4bKRU7iZcWno1PraA2wHENbGIuHNo+1ISHNr56tFhFcCQHLTInnrz+5hb/48EYK\nMgzUNtr4xnOBBVm7suaaOYvEdiFM3qrt5pu/usALR5TX5AlFU9cYxy/3k5eewD1BlC442VdL81gb\nG1MrqTJXrsAMhdtJWW4i2anx1FkHGXMsXLjzbNMg/+cntfSPTLFvex5ffNKXXwWg1+jZnFbF8PQo\nTaMtvmvm+PKe/HlXsizzcssb/Pbqy5h0Br64+fMUmQoWnZNapabAmEf/5ABTruVLRbTMBVfF2aHl\nW7m8bjomushJyCR2lb+0iOBKUESSJDYWp/I//2ALf/6ha0HW3zx3mmdfvEzPIkFWriGLXEM2l4cb\nsM+M3+JZC2vR6bmeeK+d6MDaObrMs8PD7fHynwd8q6+f2GtBpVK2hTEx6+CF5lfRqXU8Wfa+lZii\ncJuRJIl7a3LweGUOn++94TGvLPPC4Va+87tLeL0yn3u8kifvKbnpVOt782KLsk2oVRJN3WN4ZS+/\ntP6ONzoOYo5N4Us1f0J2Quay8yoy5gHQNt617HPben1BXGGIK1ed4924ve5V3xIEEVwJQZIkiaqS\na0FWfoaBM3MrWYsFWbsyt+GVvfzo8vPsbz9I48hVnG7nKsxeiHZDdift/RO+5FcJfvTKFaamV75Q\n7cG6bnoGJ9lTlRnUt+wXml9l0j3FY4V7SdIH1hxZEJazszKd2Bg175zvwe3xbe1NTbv59m8u8vLx\na/lV2ysWbm1UbCogPc7M+cHLTLmmiNGqKcgw0DEwxo8uPs/R3lPkJGTxpZovkBqbHNCcAs278soy\nrX2+97J/NS1YLWNtgK8l02rTrPYEhOjmD7I2FqdwoWWYl462cabRRm2jja3laTy2q4Bss6+VwdaM\nak70naHV3k6rvX3+GulxaRQYc8k35lJgzCUrIROtSvxqCos72+Qr6/HgtjzGHDP8/lg7P91v5XOP\nV4acELuY0YkZXjzaRrxewwfvKlY8vmm0mVP9deQmZHHXe05XCUIo9DoNd6zP5K26bk5e7iNBp+Y7\nv7vEwMgUFQVJfP5965cMXCRJYmfmVl5seY0zA+e5K2cXRTnxdBne5sLwMCWJhXx+4zPEagI/yVdg\nmlu5Wia4GhiZwjnjZlNJ6P3/Wuy+4Kp4iS3LW0X8BRPCQpIkNpWkUlWcwoVmX5B1usHGmYa5IOuO\nQrJT4/nK1j9jbMZOx3gX7eNddIx30THezan+Ok711wGgkdRkG7J8AZfBF3SlxaWiksRCq+BTZ7Uh\nAdVlZhJiNdS3j3C6wcbG4hR2rV9+yyIYvz7UzPSsh0/us2BQWMnc5XXzi7maVh9b98FVqxotrF33\nbM7mrbpu/vO1BobHp5mZ9bBvex4fvKsooOK22zJq+H3rG5zoPU1NWhVW3euoTcOYpQL+pOqPFPe7\nTNDGkx5npn2umOhin98tPeGpb+WVvbTYO0iNTVnV+lZ+IrgSwkqSJDaVplJVslSQZSLRbKLKvB7w\nvSlsU0M3BFzdE710XLdXr1fryTfmkG/MZTc1pHDr+q8JkcXumKG5205pjglTvC/I+cxjlfyvH5/m\n+QNNlOQkkpYYWq2c92poH+HUlQEKM43sqcpSPP5AxyFsU0PclXMH+cbcsM5NEMB34KiiIIkr7aPo\nNCo+93jlotuACzHFGFifUs7FoXr+4cz/ZXR2DPdgFnHe7UE3Ei805nOyv5a+yYFF87Ra+8JTmb1v\ncgCn20lVamQcEhHBlbAirg+yzjcP3RBkPfPQOu687g+USlKREZ9GRnzafG81l9dNj6P3utWtLqyj\nzVhHm3m76zD/cMf/JE4bt1r/PGEVnb06hAzUWK4F2GmJsXx8bxk/eqWBH75cz1ef3hzQt/VZzyxa\nlXbJrUS3x8vzbzYhAZ94sAyVwm3HgalBDrQfxKQz8ljRg4rGCoIST95Twpt1PTxQk01eukHx+F1Z\nW7k4VM/ozBj35e7hbFsqrWMTuD1eNGrlOwdFJl9w1WrvWDy46rWjUavITUtQfP3r+fOtihMLQrpO\nuIjgSlhRkiRRXWpmU0kq568O8b0XL3PwXM8NwdVCtCoNBcY8CuZOnABMuZy83PoGh3tO0GJvZ0Oq\n8uKNQvSrs9oAqLGYb/j5zsoMLrYMc7rBxsvH2nnizqIlrzPrmeVvT/4TsRo9f1z1hyTrkxZ83ptn\nuugbnuKe6mwKMpR9u5ZlmV9aX8Ate/hw2ftW/Xi4sLblpRv46h9sZXBwIqjxFckWdmdtJyshkz3Z\nO5lsbaJ3sIeOgQmKg9i2uz6p/c7sHTc9PuPy0G2bpDDLEFTwdr3m+eBq9ZPZQZwWFG4RSZKoLjNT\nkm2is39iwcq/y4nTxlKdthFgvh6LcHtxOF00doxRmGm4qReeJEl88kELKcYYXj7eTnP30hWrLw1d\nYXRmjN7Jfv6p9jt0TtxchHFkfJqXjrVhiNPygbuWDtYWcrr/LE2jzaxPKWfT3Da4IEQqtUrNx9Z9\nkLtydiFJEqW5N9a7UiojPg29Wk/b+MJJ7R39E3hlOajA7XqyLNNib8egTSAtVnkrqpUggivhlqoo\nTEYGrrSPBDW+0JiHVqXh6titLRwpRIbzV4fwyvINW4LXi9Nr+cxjvpyLH7xcj3PGvei1agcuAHB3\nzh2Mzzr41tnvc3mo4Ybn/OLtq8y6vHz47hLi9cryThyuSX7X/Ao6lZYny55YsVOMgrBSynJ85UKW\n6jO4FJWkotCUh21qCMfs5E2PX2vWHFq+1cj0KGMzdooTCyLmfSaCK+GWqijwbb1caQ+u6KNWraU0\npZDuiV6mXKJG1u1mfkuwzLzoc8pyE3lkZz5D9mmeP9C04HOmXE6uDDeSFZ/Bh8vexx9t+ASyLPP9\ni//B4e4TAFxuHabOOkhJtoldGzIUz/Wl5tdwuCZ5pGgvKbELbzkKQiRLNupJNem52j2GN8DG0O9V\nOF9M9ObVq9a54qGhtr1pmSvtEwklGPxEcCXcUoUZRuJiNFxpHwm4i/t7VaSVISPP1zQRbg/OGTf1\n7SPkmONJT176MMPjdxRSmGnkRH0/J6/03/T4hcHLuGUPNembANhkXs+fV3+OeG0cv2p6gd80vcLz\nb1qRJPj4XuVJ7M1jbRzvO0N2Qib35OxWNFYQIklZbiKT0256h25eeQqEv01O6wL1rlp6xzHG60gx\nhZaLGGn5ViCCK+EWU6kkyvOTGLJPYxsLbuWpwlwKiLyr283FlmHcnsW3BK+nUav47OMVxGjV/Od+\nK0Pv+V2rHTgPwJb0qvmfFZry+Kst/430ODOHug8zlnKCu2syFJ+6cnvd/KLxt76aVpYPiJpWQlSb\nb+Ic5NZggSkXCemmYqKjEzOMTsxQlGkMeSuvZawNnVpHToLyMikrRQRXwi03vzXYFlzeVVlKIRpJ\nTbPIu7qtLHZKcDHpSXE89UApzhkPP3zlCl6vb6V0fHYC62gzBcY8UmNvrAqdGpvCMyWfQp5IRp08\nQJ/p4IK5Ikt5q/Nd+qds7M7eMX9aShCiVelcE+emZQ6ILCZWE0tGfBod4114vJ75n4cr38oxO0n/\nlI0iY35EfZERwZVwy1UU+npTBZt3pdPoKDDl0SXyrm4bMy4PF1uHSU+KJTs1PuBxuzdkssVi5mq3\nnVdP+r45n7VdREZmy9yW4Hu9+E4P041bKNCvo2Oik3+q+w62qcGAXs82NcQb7W9j1Bl4vGhfwPMU\nhEiVkRyHMU5LU9dY0KkcRaZ8Zr0ueib75n/W2jeXbxVicDWfbxUh9a38RHAl3HJpibGkmvQ0dIzO\nryYoVZpYLPKubiP1bSPMurzUWNIUbSFIksQn960jyRDDS0faaOm1UzdwHgmJzXNlPa53vnmI881D\nWHKS+csdz7Cv4D4GncP8U913aRlrX/K1ZFnmV9YXcHndfKj0MeK04a0SLwirQZIkSnMSGZ2YYdg+\nHdQ1Co3+eled8z9r7RlHAgpDTmb39xOMnHwrCCC4slgsWovF8nOLxXLcYrEcsVgs6ywWS5rFYnnJ\nYrEctlgsxywWi/IupsJtS5IkKgqSmZpx09Y/HtQ1ypJ8NYeujoqtwduB0i3B6yXEavmjRyuQZZl/\ne81XLbo0seim/mOzLg8/f7MJtUryJbGrVDxW9CBPr/sQTvc0/3r+B9TN5WotOMeB8zSOXqUi2cLm\ntKpFnycI0aZ0Lu+qqTu4vKvri4kCeL0y7f0TZKXGExsTWi3zlrH2+ZIPkSSQlauHAY3Vat0F/C3w\n98A/Aj+zWq17gL8G1q3cFIW1KNSSDAXGfDSSmqtjIql9rXN7vJxvHibFGENBhvKWHgDl+Uns25HH\nmNb3LXehLcHXTnYwZJ/mgS25ZJuvteLYlbWNL2z8FBpJzY/rf86BjkM3bY9Muab4zdWX0ao0fMQi\naloJa0vZXDHRpiCLiabFpRKviZs/MdgzNMmMy0NhiFuCM55ZOie6yTPkoFMra6a+0gIJrpoAjcVi\nUQFGwAXcAeRYLJa3gKeBd1ZshsKaVFGQjETwSe06tVbkXd0mGjpGcc642VymbEvwvd5/ZxGx6QPI\nXgnZfmPdqoHRKV472UmSIYbH7ii4aWx5ShlfqvkCiTEmXmp5nV9af3dDcu5LLa8z4XLwcMEDNyXJ\nC0K0y01LIEan5mqQK1cqSUWBKY/h6RHGZydo6Q1PvlXHeCde2RtR9a38AlmPcwAFQCOQCjwKvAuM\nWq3W+y0WyzeArwDfWOwCSUlxaDSRk8W/mszm4L55rzVmoDjHREuvnQRjrOKlYbPZQFVWOc1jbQwx\nQI15w8pMdI2Lht/H+kO+1cn7tueHNN/u8T7cOjvY0/jVm53s3liMOSkWWZb57ouXcXu8fOaJBvn+\n1AAAIABJREFUDeTlLFzw02w28A8ZX+UfDn+Xo72ncHgn+OKuz2AdauFo7ylyTVl8pOYRNBF0Yina\nRMPvYzRYiftYWZjCWasNrV5HoiFG8fj1maXUDzcyLNvoG/Gt/G6pzAxpru/aegHYnF8Rcb87gfxF\n+yKw32q1fs1iseQCB4Fh4Pdzj7+Mb6twUaOjUyFNcq0wmw1BN9Rci0pzTDR32zl+rpuNxYF/2/ff\nx2xdDgC17ZfJ0xas0CzXrmj4ffR4vRy/2IsxXkdqvDak+b7ZegyAHVnVvGN18f/95DR/9bFqzl0d\noq7RRkVBEpas5e6Jmj/d+Fmeq/8Z5/uv8PUD/4hqbv3/yZInGB0Wn3XBiobfx2iwUvcxPz2Bs1Yb\nJy90B1Rr7r3SNZkAnO9q5EprKjFaNXFqKaS5XuyxApBKetj/zaEGa4FsC44C/o3WEUALnMCXiwWw\nB6gPaRbCbamywF+SIcg+g6a8ubwrkdS+Vl3tsuNwuthcZkalCn5LUJZl6gYuoFVpeXLzHWwuM2Pt\nGuOlo2388m1fEvvTD5QFtO2o1+j5/IZn2J21nR5HH13jfdyRtX2+ErUgrEVlOaHlXeUbfcVEW8ba\n6R2apCDDENJ72uP10DbeQUZcGgm6wMuz3CqBrFx9C/ixxWI5AuiArwPHgB9ZLJY/xhd4PbVyUxTW\nqtIcE1qNivoggyudWke+MY9WeztOt5NYjTj6vtbUWX31pYI5JXi9rokebM4hatKq0Gv1PPPQOlp7\n7bx8vB2AR3bmk5kS+Ae0WqXmo5YPkBGfTutkG08UPxTS/AQh0hVlGdGopaBPDOo1MWQlZNA50YMs\nWSjKDi3fqtvRy4xnNqJa3lxv2eDKarU6gCcXeOiB8E9HuJ1oNWrKchOpbxthzDFDYoLyffyypCJa\n7G20jLWzPrV8BWYprBavLFPXZCNer8EydxQ8WP52N/5eggmxWj79aAX//MvzpBhjeHRngeJrSpLE\nPbm7edL8kNjOEtY8rUZNQaaRlh47zhl3UCUUikwF9Dj6kOLGKco0hTSfSGzWfD1RRFRYVf6SDA1B\nlmQoTfSVWGsSJRnWnLbeccYcs2wqTUWjDv6jyit7qbNdIFYTS0WKZf7nlQXJfPXpzXz16RpidCIJ\nXRCWU5aTiCwzf9pPqUKjrxaVKmEs9Mrsc82aSyJ05UoEV8Kq8uddBbs1OJ93JYqJrjnXtgSVJ89e\nr2WsnbEZO5vM69Gqbvy2XZabSIpJH9L1BeF2EWq9K38xUX3iBElBnDj0k2WZlrF2EmNMJOsXPt27\n2kRwJayqnLQEDHFa6ttHgupb5cu7yqVrogenW9S7WitkWabWaiNGp6ayILQPz1qbb0twsV6CgiAE\npiTbhAQ0dQWXdyXNxCG7dKgNwe1U+NmcQ0y4HBSbCiK2YK8IroRVpZIkyvOTsDtm6Q3yGHtp0lyf\nwWV6vwnRo8vmYMg+TVVxCtoQauR5vB7O2S5i0CZQmlgUxhkKwu0nTq8lNy2B1t5xXG6v4vFt/RN4\nHYm4VFOMzQS3+gWRvyUIIrgSIsB8SYYgq7X7/2iKvKu1o3ZuS3BLiFuCjaNXmXRNsTl9I2pR3FMQ\nQlaam4jb46U9iL6wrb3jeB2+wyn+VjjB8H+RjtSTgiCCKyECVBaGlndVZMpHLalpHm0L57SEVVRn\ntaHVqFhflBzSdfynBMWWoCCER5m/iXMQW4MtvXZkh2+bvy2E4KrZ3kasRk9mfHrQ11hpIrgSVl2y\nUU9GchzWzjHcHuVLzTq1jgJjLp0T3Tjd0yswQ+FW6h2apG94ivWFyeh1yo97+816XFwcrCdZn0Sh\nMT+MMxSE25e/mOjVbmXbem6Pl45+B1nxmagkVdDBlX1mnCHnMEWmAlRS5IYwkTsz4bZSUZDEjMtD\na6/ypWa4Pu9KrF5Fu7qm8GwJ1g83Mu2ZoSatKmKTXgUh2pgSYkhLiuVqtx2vN/BDSF02B26Pl+LM\nFHISsuia6MHlcSl+fX99qxJT5G4JggiuhAgxX5IhxLwr0Qon+tVZbahVElUlgfebXIjYEhSElVGW\nk4hzxk33oCPgMf4vzkWZRgpN+bhlD12OHsWv3Tz3BboosUDx2FtJBFdCRLDkJaGSpKD7DPrzrkS9\nq+g2OOakc8BBeUEScXpt0Ndxuqe5PNxARlwa2QmZYZyhIAil8/WuAs+7ap0rPFqcbaRorphoMEnt\nrWNtaFQa8o25isfeSiK4EiJCnF5DUZaR1r5xpqbdisf7612JvKvoVhemU4IXB+txe91sSd8ktgQF\nIczmk9oV5F219o4TG6MhPTmOwrmWNW32TkWv63RP0+3oI9+Qe1NB4EgjgishYlQUJCHL0NgZXIG5\nssQikXcV5eqabEgSbCpNDek67+0lKAhC+KQlxmJK0HG1ayyg4s8Op4uBUSdFmQZUkkSyPhGTzkCb\nvV1R8eg2ewcyMsURviUIIrgSIkhFiK1wSpN8fQZF3lV0Gp2YoaVnHEtuIsY4XdDXmZh10Dh6lTxD\nDmlxoQVpgiDcTJIkynISsU/OYhtbvjNGW58v36owyzQ/vtCUj312gpHpwLcWo6F4qJ8IroSIUZRl\nJEan5kqQTZwL/XlXIriKSmebwtNL8JztEl7ZKxLZBWEFKal31dIzl291XbNmf5/BtvHA865a7O1I\nSFFRWkUEV0LE0KhVrMtNZGBkimG78rypmBv6DIq8q2hTZ7UBsLnMHNJ1agfOIyFRk14VjmkJgrCA\nUn+9qwCaOLfOr1xdC66K5oKrQJPaXV437eOdZCVkEKeNVTrdW04EV0JEqQixWntZYhFe2UvrXC0U\nITqMT81i7RqjOMtIkiEm6OuMTo/RYm+jOLGAxBhTGGcoCML1cswJxMZoaOpeeuVKlmXaescxJ+pv\n2O7PTchGI6kDLibaNdGNy+uOii1BEMGVEGHm+wwGGVyVJM3VuxIlGaLK+atDyHLoW4J1tguAqG0l\nCCtNpZIozTFhG3Uy5phZ9HkDo04mp90UZd34ZUer1pJryKbb0cusZ3bZ15vvJzh30jDSieBKiCiZ\nKXEkGWK40j6KV8EpEj9/SwTRxDm6+EswbLaEtiVYN3AelaSi2rwxHNMSBGEJ/q3BpfKu/PWtiq7b\nEvQrNOXjlb10jHcv+1r+4qGR3Kz5eiK4EiKKJElU5CfhcLroGgi8+q9fzFyfQZF3FT2mpl1caR8h\nLy2BtMTgcylsU4N0TvSwLrmUBF18GGcoCMJC/EntS+VdzVdmXyS4guWT2v2pHin65KjZ7hfBlRBx\n/HlXwW4NliYWi7yrKHKhZRiPV6YmxFWr+XY3aWJLUBBuhYIMI1qNasm8q9becTRqibw0w02P+ZPa\nlysm2j9pY8rtjJp8KxDBlRCBKkLMuyoVeVdR5dqWYPD5VrIsUztwAa1KQ5W5MlxTEwRhCVqNiqJM\nI902B1PTNzdhnnV56LI5yEs3oNXcHG4kxphIikmkdZliote2BAvCNveVJoIrIeKY4nXkmONp6rbj\ncnsUj/fnXYl6V5FvZtbD5dZhMlPiyE4Nfiuv29HHwJSN9Snl6DX6MM5QEISllOYmIgPNPTdvDXYO\nOPB4ZYoyb94S9Csy5eNwTTLkXPzLdIt9LrgyiZUrQQhJRUEyLrdXUe8qP3/eVedEN9Mi7yqiXWod\nZtbtDXlLsM6/JShOCQrCLVU238T55s/qpZLZ/Qrn6121L/qclrF2ErTxpMeF9jlxK4ngSohIlf68\nq7YgSzLM1btqCaLrunDr1PmrspcFvyXolb3UDpxHr9ZTmbIuXFMTBCEAxVkmJIkF8678xUOXDq7y\nAGgbXzjvamR6lNGZMYpNBVHVhF0EV0JEKstJRKOWgm6FU5Y412dwVJRkiFQut5cLzUOkmvTkpScE\nfZ02eyejM2NUmSvRqrVhnKEgCMuJjdGQl26grXecWdeNaRwtPeMkxGoxL3EKOCchC61Ks2gx0Wgr\nweAngishIsXo1JRkm+gcmGBiavkCc+9VaMoXeVcR7kr7CNOzHmos5pC+kdaKLUFBWFVlOYl4vPJ8\ng2YA++Qsw+PTFGUZl3x/a1Qa8gw59Dj6FkzjaInCZHYQwZUQwSoKkpGBhg7lq1d6TQz5BpF3Fcn8\npwRD2RL0eD2cs10kQRuPJakkXFMTBEGBa3lX17YGA8m38is05SMjL1hMtMXejk6lJTchO0yzvTVE\ncCVErMpQ610libyrSOVyeznbNEhigo6i7OU/fBfTNNbChMtBddpG1Cp1GGcoCEKgSnN8xUSvP4C0\nVPHQ9ypapJiowzVJ3+QAhab8qHt/i+BKiFj56Qbi9Rrq20aXrIGyGJF3FbkutgwxNeNmR0UGKrEl\nKAhRzRivIzMljuYeOx6vF7guuFqiDIPftRODNwZX/jysaOkneD0RXAkRS6WSWJefxPD4NLZRp+Lx\n/ryrZpF3FXGOX+4HYOf6jKCv4fK6uTB4mcQY0/w3X0EQVkdpTiIzs76iod65/KvMlDji9MsfMjHq\nDKTqk2m3d97wRTpak9kBNMs9wWKxaIGfAAWAB/gMEAu8Alyde9qzVqv1Vys0R+E2VlmQTJ11kPr2\nEdKT4xSN9eVd5dAx0c20ewa9JmaFZiko4XC6uNgyTI45gdy04E8J1g834nRPsytrGypJfE8UhNVU\nlmvi8IVemrrsaNUqpmc9Aa1a+RWa8jkzcA7b1CDp8b48zJaxNlSSigJj3kpNe8UE8on0MKCxWq27\ngL8F/h6oAb5ptVrvnvufCKyEFXGtz2BwJRlKk0SfwUhzpmEAj1dmVwirVgDHek8BsD2jJhzTEgQh\nBGX+vKuuMVoU5Fv5vXdrcNYzS+dED7kJ2VH5xTiQ4KoJ0FgsFhVgBFz4gqtHLBbLYYvF8pzFYrm5\nI6MghEFaYiypJj0NHaPze/lKlCbO9RkUW4MR43h9P5IE2yvSg77GkHOEhuEmCo35ZCdkhnF2giAE\nI8WkJ8kQw9XusetOCpoCHv/epPb28S48sifqSjD4LbstCDjwbQk2AqnAo4AF+JHVaq2zWCz/A/gb\n4L8vdoGkpDg0mujK9F8pZrOIQ5WqKU9n/8kOxqY9rMv3vVkDvY/bE9fz7EUVbY52ce8XcKvvSe+Q\ng5aecTaVmSkrSg36Om9efBsZmUfK74mI/66RMIe1QNzH8Fit+7ihJJXD53o42zSETqumuiIDtTqw\nLfvklFJizsXQOdmN2WzgsK0XgM15FVH5exFIcPVFYL/Vav2axWLJBQ4Cd1qt1v65x18Avr3UBUZH\np0Kb5RphNhsYHJxY7WlEneIM3xvr+LluUuK0iu9jviGHlpEOuvqGonJ5eaWsxu/jq0d8K4hbylKD\nfm23183bzceI18RRrC9d9feUeF+Hh7iP4bGa9zHf7Gu+7nC6KM0xMTIyqWh8XkI2zWNtdPbZuNhr\nBSBVSl+Vf0+oAV0gIeUo4C9eMQJogZctFsu2uZ/dB9SFNAtBWMK6/CQkoF7kXUU1WZY5WT+ATqti\nc1nwDVgvDF5mwuVge2YNOtHuRhAiRmlu4vz/L1awJehXZCpARqbV3kGrvZ30ODMGXfCHXlZTIMHV\nt4DNFovlCL5Vq68DnwO+ZbFY3gHuAP5uxWYo3PYSYrXkZxho6bEzPetWPF7kXUWGlp5xbGNOasrM\n6HWBLJov7EjPSQB2Z+8I19QEQQiDrNR44vW+97aSZHY/fxPnIz0nmfHMUmyKvhIMfst+wlmtVgfw\n5AIP3RH+6QjCwioLk2nvn6Cpa4zc7CRFY4v8fQZHRXC1mo7Xh17bqn9ygKtjrViSSkiPC371SxCE\n8FNJEuX5SZxtGqI4W/nKVaHRl9R+aegKACVRWN/KTxSHEaJCRYGvJEN9WzB9BvXkGXLomOhi2j0T\n7qkJAXC5vZxpGMCUoKMiPzno6/hXre7M3hmuqQmCEEYf32vha5/YTJJBeX5rgi6etLhrB12i9aQg\niOBKiBIl2SZ0GlXwfQYTfX0G20SfwVVxsWWYyWk3OyrSUamCa3cz65nlVH8dJp2BjakVYZ6hIAjh\nYIzXBZVv5edfvTLpjKTog/8ittpEcCVEBa1GRVluIj1DkwzblbfCKU3y9RlsGhN9BlfDCf+WYGXw\nW4K1AxfmK7JHWxNXQRAC4y8mWpxYgBRC39HVJoIrIWr4twYvXB1SPLZY5F2tGofTxYXmIXLM8eSl\nB3+8+WjPSSQk7sjaHsbZCYIQSTaklpMVn8GOzK2rPZWQiOBKiBqVc61wzjfZFI8VeVer50yjDY9X\nDimRvXO8m46JLtanlpOkT1x+gCAIUSkxxsT/2P4lKlMsqz2VkIjgSoga2eZ4jHFazjcN4r2uc3qg\nRN7V6jhxuR8J2FERfHB1LZFdlF8QBCHyieBKiBoqSWJTaSqjEzOctQ4qHl+a5Kt3JfKubh3b6BTN\nPXbKC5KCOj0E4HQ7qR04R4o+ifLksjDPUBAEIfxEcCVElX3b85EkeOV4O7LC1asiUwEqSUWzKCZ6\ny5yoHwBCS2Q/1X+WWa+L3Vk7UEniI0sQhMgnPqmEqJKRHMedVdl02hxcaBlWNDZWoyfXkE37eBcz\nntkVmqHgJ8syJy73o9OqqLEEV/BTlmWO9pxELanZmRXdCa6CINw+RHAlRJ0n7/dtDb18TPnqVVni\nXJ/BsfYVmJlwvZZeX7ubzSG0u2mxt9M3OcAm8/qo7TEmCMLtRwRXQtTJzzRSU2amrW+cKwqbOa9L\nLgXgZH/tSkztlhmdmMHl9q72NJZ04rKvttWuELYEj/ScAEQiuyAI0UUEV0JUenRXAQAvH2tTNM6S\nVEJOQhZ1Axfon1Re0iESnG4Y4K++d5xnX7y82lNZlNvj5XTDAKZ4HeUFynpB+k3MOjhvu0RGXBol\nc823BUEQooEIroSolJ9hYGNxCk3ddqydga9eSZLEQ4X3IyPzRvvbKzjDlXGyvp9/+309XlnmfPMQ\nHf0Tqz2lBfnb3WyvSEetCu5j5mRfLW7Zw+7sHVFdqVkQhNuPCK6EqPWYf/XqeLuicRtTK8hOyKR2\n4DwDUbR6dfxyHz985Qp6nYYP7PGt5Lx6on1V57SY+S3BIAuHemUvR3tOolVp2Z5RE86pCYIgrDgR\nXAlRqzjbREVBElfaR2npsQc8TiWpeKjAt3r1evvBFZxh+By92MdzrzQQq9Pw3z+6iUd25pOfYaDO\nOkjf8ORqT+8Gk9MuLrQMkW2OJzctuCT0xpGrDE2PsCV9E3Ha2DDPUBAEYWWJ4EqIasGuXlWZK8mK\nz6B24BwDU8oLkt5Khy/08u+vNRCn1/BXH6umMNOIJEk8ujMfGXjtZGRVnD/TYMPtkdlVmRH0dt5R\nUZFdEIQoJoIrIapZ8pIoyzFxsWVYUf6RSlLN517tj+DVq3fO9fAfrzcSH6vlrz5WTX7GtcbH1WVm\nMlPiOFk/wJDdqei6A1ODnOw6q7iURSCO1/va3WyvSA9q/Oj0GBeHrpBnyCbfmBveyQmCINwCIrgS\not5jdxQCylevNpnXkxWfwZmBc9imhlZgZqE5eLabn+63YojT8uWPVZOXbrjhcZUk8cjOfDxemf2n\nugK+7tiMnW+dfZZvHv8hDSNNYZ2zbcxJc7eddflJJBv1QV3jeO9pZGR2i1UrQRCilAiuhKhXUZBE\nYaaRs02DdA86Ah6nklTsK7gPr+yNuJODb9Z28fyBJoxzgVXOIrlL28rTSTXpOXyxF/vk8lXnPV4P\nz13+GROzvvv0YstreOXw1cs6GWIiu8fr4VjvafRqPVvSq8M2L0EQhFtJBFdC1JMkicfuKAB8PQeV\nqE7bQEZ8OmcGzjE4paydzko5cLqTX7x1FVO8ji8/tZls8+JJ4Rq1ioe25+FyezlwpnPZa7/Q8iqt\n9nZq0qq4M38bPY4+6gYuhGXesixzvL4fnUbF5rLg2t1cGm7APjvO9szNxKh1YZmXIAjCrSaCK2FN\nqCpOIS8tgTMNNkWn51SSiof9q1cdq7969capTn55sJnEBB1ffqqarNT4Zcfs3piJKV7HobM9TE67\nFn1e3cAFDnUdJSMujafWfYiPbHgcjaTm5db9uL3ukOfe2juObdTX7iY2Jrh2N/5E9t1ZYktQEITo\nJYIrYU2QJIlHdxX4Ts+dUHZ6rjptIxlxaZzuP8uQc/VWr1490c6vDzWTZIjhK09tJjNl+cAKQKtR\n8+C2PKZnPRys617wOX2TAzzf+F/EqHV8ZsMn0WtiSItP4c7snQxPj3C051TI8z9e79sS3BnklqBt\naoiGkSaKTYVkJQTfMkcQBGG1ieBKWDM2W8xkpcZzon4A21jgp+d8da/8uVerc3Lw5WNt/PbdVpKN\nMXzlqWrSk+MUjb9rUxbxeg1v1nYzM+u54bFp9zQ/vPSfzHpm+Xj5k2TEp80/9mDBvejVMbze/hbT\n7umg5+/2eDl9ZQBjvI6KINvdHOv1BXii/IIgCNFOBFfCmqGaq/3klWVeV1j7aXN6FelxaZzqr2PI\nObJCM1zYS0fbeOFIGylGPV95ajNpScoCK4DYGA331eTgcLp490Lv/M9lWeb5hv9iYMrGvbl3sjlt\n4w3jDLoE7s+7C4drkrc7Dwf9b7g01+5mR5DtblweFyf6zpCgjWdT2oag5yEIghAJRHAlrCnbytNJ\nT4rl6MU+RsYDX4m5fvXqVtW9kmWZFw638tLRNlJNer7ydDXmxOCrkd+/JZcYrZr9pztxuX0nAA92\nHeHc4CWKTYU8UfzwguPuyb0Tgy6Bt7sOMz4bXK/C+S3ByuC2884NXmLSNcXOzK1oVcHlawmCIEQK\nEVwJa4pKJfHIzgI8XpnXTy5/eu56NelVpMeZOdlfy/AKr17JsszvDrfy8vF20hJj+cpTm0k1hdbm\nJSFWy93VWYxOzHD8ch9XR1t5seU1jDoDn17/NGqVesFxek0MDxfcz4xnNqiSFJPTLi40D5GdGk9e\nenDtbo74E9mztwc1XhAEIZKI4EpYc3ZU+mo/vXuhF7tjJuBx19e92t+xcqtXsizzm3daePVEB+lJ\nsXz5qWpSTMEV3HyvvVvz0KglXj3TxI/rfwbAp9d/HFOMcclxd2RtJzU2haM9pxSXpDjT6Gt3s3N9\ncO1uehx9tNrbKU8uIzU2RfF4QRCESCOCK2HN0ahVPLwjH7fHyxunFa5epVWRFpfKib5ahp2jKzK/\nIxf7eP1UJxnJcXz5qc1BVzJfSJIhhl0bMxhPO8n47ATvL36YksTCZcepVWoeL3oQj+zhlbb9il7z\nxGVfu5sdQba7udZHcGdQ4wVBECKNCK6ENemODZkkGWI4dK6HianlK5f7qVVq9uX7Vq8OrNDq1eEL\nvUgS/OVHNpFkiAn79dXZjagNo+gcOdyVszvgcdVpG8k1ZFM7cJ6uiZ6AxgyOObkaQrubafcMp/vP\nkhhjYn3KOsXjBUEQIpEIroQ1SatRsW97HrMuLwfOBN53D2BL+ibMsSmc6KtlZDq8q1eDY05ae8cp\nz08K21bg9eoGLnDSdoIYrwl74zoutQSeO6aSVPNJ7y+1vB7QmBMhJrLXDZxn2jPDrqxti+aECYIg\nRJtlgyuLxaK1WCw/t1gsxy0WyxGLxbLuuseeslgsJ1Z2ioIQnLuqsjDGaXm7rnvJyuXvpVap2Vdw\nHx7Zw/6OQ2Gd0+mGAQC2lwe3hbaU/usKhf6B5SnwanjlRDuyLAd8jXXJpaxLKqVhpAnrSPOSz5Vl\nmROXfe1uaizK293IssyRnhOoJBV3ZG1TPF4QBCFSBbJy9TCgsVqtu4C/Bf4ewGKxVAOfBpRnsArC\nLaDTqnlwu69y+du1C1cuX8zW9GpSY1M40XuG0emxsM3p1BUbapXE5iCCkaVMu6f5wXWFQqtyC6ku\nTaW1d5zGTmXzf1/xQ4CvqfNSgVlr3zgDo06qg2x30zHRRZejlw2pFSTGmBSPFwRBiFSBBFdNgMZi\nsagAI+CyWCwpwP8D/MVKTk4QQnVPdfZc5fIunDOB98+7fvXqQJhWr3qGJukedLChKIV4vTYs1wTf\nCtDPGn9zU6HQR3cVAMqbWecZc6hJq6Jzoptzg5cWfd6Jy8FvCcqyzMHOI4CoyC4IwtoTSHDlAAqA\nRuCHwLeB54AvAcFVHBSEW0Sv07B3ay6T024OnQssSdtvW3o1qfpkjveeDsvq1ekrvi3BbRVpyzxT\nmUPdRzlru0ixqeCGQqGFmUYqC5Jo6Bilpdeu6JqPFj2ISlLxcssbeLyemx53e7ycbrBhjNdRWais\n3Y1X9vLLpheos10gKz4DS1KJovGCIAiRLpC1/C8C+61W69csFksu0Am0As8CeqDCYrH8i9VqXXQV\nKykpDo1GJKsCmM2G1Z7CmqDkPn7kwXIOnOnizdouPrJ3HXoFW1gf2vAI3z/znxyxHePTNR8NZqqA\nb6WmtmmQGJ2aB3YUKprDUhoHm3mx+VVMeiNfvuvzJMXeuL329EMVfP3ZY7xV18OOqpybxi92H80Y\nuH9oNweaD3Nx4iJ7S/bMP9Y/PMm3fnkeh9PFE3cVk5Ee+JberHuW/3vyx5zpuUBBYg5f2/Pfbppz\nNBLv6/AQ9zE8xH1cfYF8wo8C/mzgEaAD2Gi1WictFksB8MulAiuA0dGpkCa5VpjNBgYHxWJfqIK5\nj/duzuHl4+389i0re7flBTyuIr6CFH0yb7ccZU/67qBzg9r7x+kbmmRbeRoT486wLPnaZyb45zM/\nQAb+sPwp3A4Vg44br5xu1FGcbeRUfT/nrvSRY75WQX25+3h3+l2803qCX196hYqESnQqLccv9/Oz\nN5uYnvWwZV0aD2zODvi/xaRriu9f/A9a7e2UJZXw2Q2fXHDO0Ua8r8ND3MfwEPcxPEINUAPZFvwW\nsNlisRwBDgJft1qtkyG9qiDcYg9szSVGp+b105243Ddvcy3Gl3t1L27Zw4GOd4J+/VNXwntK0OP1\n8OP657HPTvC+4ocoTSpa8HmS5GsHBPCawmbWphgD9+XtYXx2gv2t7/C9Fy/z3KsNAPyZIqwAAAAS\nG0lEQVTRo+X88fsqA05kH50e45tnn6XV3k5NWhVfqPoUsZrwl6IQBEGIBMt+MlqtVgfw5CKPtQMi\nG1WIeAmxWu6tzub1U50cudjHvZtv3iJbzPaMGt5of5tjvafYm3+34tUrryxzusFGbIyG9UXhae/y\nUsvrNI+1UW3ewH25e5Z8blVxCjnmBE5dGeCJO4tIU9Ac+r68uzjUeZz97e/gbNlDWY6ZP3q0glQF\n1+h19PPdC88xNmPn3tw7eX/JI6gkUWJPEIS1S3zCCbeNvdvy0GlUvH6yA7fHG/A4tUrNg/n34va6\neTOI1avmbjujEzPUlJnRakJ/y/VNDvB212HS48x8vPzDy/bz861e5SPL8IaC1atZl4cXDnUy3pYP\najcV24b58lObFQVWV0db+ebZZxmbsfP+kkf4YOljIrASBGHNE59ywm3DFK9jz6YshsdnOD5XRiBQ\n2zNrSNYncaz3FPaZcUVjTzWE95TgO93HAHi8+CH0AW6tbV2XRlpSLEcv9TE6sXwz647+Cf72J7W8\nVdeN2W3BqDXR5bnM6EzgpybP2y7xnQs/YsYzwx9UfJT78+4KeKwgCEI0E8GVcFvZty0PtUrijVOd\neBVULteoNDyYfw8ur5s3O98JeJzH66W20YYhTkt5vrKSBQuZcjk53VdHUkwiG1LKAx6nUklzzaxl\n9i/RzNrrlXntZAd/99Naeocmua8mh//1zA6eKNmHW/bwatuBgF7vcPcJfnT5edSSii9s/BTbMjYH\nPFdBEIRoJ4Ir4baSbNSzozKd/pEpzl8dUjR2R+YWkmISOdpzEvtMYKdxGjpGmZhysWVdGmpV6G+3\nk31nmPW62JOzU3Evvl3rM0gyxPDO+R4czpvbAQ3ZnfzjL87xm3daSIjT8qUnq3j6gTJ0WjVbM6rJ\nTsjkdP9Zehx9i76GLMu83PIGv2p6gQRtPH9R/XnKU8oU/zsFQRCimQiuhNvOvu35ALx+skNR3z2N\nSsODBffi8rp5K8DVq9NXbEB4Tgl6ZS/v9pxAq9KwK4hefBq1in3bfM2s36q91sza3yPwb358mqau\nMWrKzPyfT2+/IfleJal4vGgfMjK/b3ljwet7vB5+1vgb3ug4iDk2hb+s+RPyjIEfHBAEQVgrRHAl\n3HayU+PZVJJKS+84V7uVVS7fObd6daTnJBOzjiWf63J7qWsaJMkQQ0lO6IUyrwxbGXIOsyW9mgRt\nfFDX2FOVRUKslrdqu5madjE57eLffl/PD1+5gleGTz1czhfev56E2Jvb81SmrKMksZDLww00j7Xd\n8NiMZ5YfXPoJJ/rOkGfI4S9r/gRzXHhORgqCIEQbEVwJt6WHdvgKib6usPaTRqXhgfy7cXldvN15\neMnnXm4dxjnjZnt5OqplTvQFwp/IflfOHUFfI0an5oGtuUzNuHn2txf5xnOnOd1goyTHxP/+1DZ2\nb8xc9PShJEnz7XVebL7W1NkxO8m/nvsBl4cbKU8u48+rP4dBl7DgNQRBEG4HIrgSbkulOYmUZJu4\n0DJM9+DSK1DvtStzKyadgcM9x3G4Fq+nG85TggOTNhpGmig2FZJryArpWvdtziY2Rs07Z7sZn5zl\nA3uK+OpTmwOqf1VoyqfKvJ628Q4uDl1h2DnCP5/9Lu3jnWzPqOGPN/4hek1MSPMTBEGIdiK4Em5b\n/tWr/acWPz23EK1ay/15dzHjmeWdrqMLPmdm1sP55iHSk2LJTw+9z9e7PccBuDs3+FUrvzi9lg/f\nXcL64hS+/okaHt1VgEoV+Mra40X7kJD4XfMr/FPdd7FNDbE3/x4+Uf6k4iR7QRCEtUgEV8Jtq6ok\nlcyUOE5eGWBkfFrR2Duyd5Cgjeed7mM43c6bHj/XPMisy8u28vRli3wux+me5mRfLYkxJqpSK0O6\nlt/d1dn8v1/YTWGmUfHYjPg0dmZuZcg5zMSsgw+VPs77ih8K+d8pCIKwVojgSrhtqSSJfdvz8Hhl\nDpzpWn7AdWLUOu7L3YPTPc07Xcdvetx/SnBbReinBE/11THjmeXO7B0RszL0aNGDbDKv59PrP849\nubtXezqCIAgRRQRXwm1tR0UGiQk63r3Qy+T0zbWflrInZydxmlgOdR1h2n2t6vnktItLrcPkmBPI\nTg3uVJ+fr/zCMTSSmjuytod0rXAyxRj4zIZPUp22YbWnIgiCEHFEcCXc1rQaFQ9szWVm1sOhsz2K\nxuo1eu7J3c2ke4ojPSfmf37WOojHK7M9DInsjSNXsU0NUZO+SZzAEwRBiBIiuBJue3dv8p2ee6u2\nC5fbo2xszm70aj1vdx5m1jMLXHdKMAyFQ9+dL7+wK+RrCYIgCLeGCK6E215sjIa7q7MZn3Jx7JKy\nhs5x2ljuytnFhMvBsd7T2CdnaegYpTjLiDmA0gZLsU0NUT9spdCYT74xN6RrCYIgCLeOCK4EAXhg\nSy4atcQbpzvxegNvifP/t3evwVGVdxzHv7vZbIDcITdyIxrJQygIglwqUFKgBXTUaWs7TtsZpx2c\nztiZqm/a0WqdOradvqgdsS9a2nG8dKwztW+qU7AKghaEKBcFEh6uASGEJCSEXAgh2dMXu0EIm+xu\ncthl8feZYWZzds/uf//8s/nvc855HoBlZUvwp/h59/hmdtQ34jjujFp9cGobDg41GrUSEUkqaq5E\ngJyMNO6aUURz+wV2HWyJad8MfzpLShbS0XeeLSd24AHmVY/tfKve/ot81PgJWf5MZuukcRGRpKLm\nSiRk5fxyPMD6HbEt6AywvGwpPo+PtvH7qSrPIidjbLOU1zbtonegl8UlC/F5fWN6LhERiS81VyIh\nkyelc0dVPsdOd3LgxLmY9s1Oy6Q0ZTretF4KKtvGFIfjOGw5tY0UTwqLixeO6blERCT+1FyJXOHy\ngs47YlvQGeB8QylOwMOx/l0MBGK76vBKtv0wTd1nuKNgJtlpY186R0RE4kvNlcgVKouzqSrLYd/R\nNk6c6Yx6v9NnuznVGCC7r5KzF9vY2fzpqGPYHJp+oaZ07OsIiohI/Km5Ehni7tDo1Yba6Bd0rq0P\nLnezrHQpXo+Xdxo2EXACMb9264U29rXWMyWzjIqs8pj3FxGRxFNzJTLEzFsnUZKfTm1dM63nrl2U\neSjHcaitP0Oqz8tiU8n8ojk09TSzp2VfzK89OP3C0tK7tBCyiEiSUnMlMoTH42H1gnICTnQLOn/e\n3MXpsz3Mui2P8Wk+Vk5ZhgcPGxo2xjR61TfQx0eNH5OZmsGcwlljeQsiIpJAaq5EwphfXcjErDQ+\n+KyRrgsjL+g8uNzNgtDcVgUT8rizcDanuk6zt7U+6tf8uGk3Pf0XWFSygFRNvyAikrTUXImE4Uvx\n8s155fRdCrBp58lhH+c4DrV1zYzzp3B75aTL21dWfDF6Fc2cWY7jsPnkVrweL0tKNP2CiEgyU3Ml\nMoyvzZpM+jgf7+08ycVL4adWONJ4nrPne5lTlU+qL+Xy9snphczOn8GJzpPUtR2M+FqHzx2lsbuJ\n2fkzyEnLdu09iIhI/Km5EhnGOL+Pr88poevCJf732emwj6mtCx0SnH7tWoKrKpYDsKHhvYijV4PT\nLyzV9AsiIklPzZXICFbMLcOX4uWd2hMMBK4+OT0QcPj4QDMZ41OpnpJ7zb6lmcXMzJvO0Y7jHGw/\nMuxrtPW282nLfsoyiqnMrnD7LYiISJypuRIZQVa6n8W3T6a1o5dPDly9oLM90U5Hdx93TivAlxL+\nV2l1aPRqfcN7w77Gh6e2h6ZfWKTpF0REbgIRL0kyxqQCrwAVwADwMMGmbB3gAQ4Ba6y1/dcvTJHE\nWTm/jC17TrF++3HmVxdcboCGXiUYzpSsMqonVlHfdpDD545xW84tV93fN3CJrY07SE+dwNzC2dfv\nTYiISNxEM3J1N+Cz1t4FPAv8Bvgt8KS1dvAEkXuvU3wiCVeYO4G5poATzV3UNbQD0D8QYKdtISfD\nz9SynBH3X12xAoANDRuvuW/nmT10X+phUfEC/Cmp7gcvIiJxF01zdRDwGWO8QBZwCfiOtfYDY4wf\nKAI6rmOMIgm3esHVCzrvO9ZGd28/86sL8UY4lFeZU0FVTiX1bQdpOP/FkjqO47Dl5FY8eDT9gojI\nTSSa5qqL4CHBA8BfgbXW2gFjzBRgP5AHjH6VWpEkcMvkLKqn5FLX0E5D03lq64e/SjCc1bcMXjn4\nxejV0Y7jfN7VyKz8rzBx3LUnxIuISHKKZhrox4F3rLVPGGPKgE3GmJnW2uPAVGPMGuB54KHhniA3\ndwK+K+YA+jLLz89MdAg3hUTk8cGV03hm3UdsqD3J3iOtTJ6UzryZxVGdhJ6XN5sNn1eyt7Webt85\nKnLL+PuhHQDcP+MbCasL1aM7lEd3KI/uUB4TL5rmqp3goUCANiAVeMsY84i19hDQCYy4gFp7e8+Y\ngrxZ5Odn0tLSmegwkl6i8liaO47yggxq65oAWD43j9bWrqj3X15Sg209wj92v8UDVfex4+RuitOL\nyKcoIe9H9egO5dEdyqM7lEd3jLVBjaa5+iPwkjHmQ8APPAk0AC8bY/qAHmDNmKIQSQIej4dVC8tZ\n9+86ILj+YCymT6yiPLOUPS37AAg4AWo0/YKIyE0nYnNlre0CvhfmLk0lLV8686YV8Pa244xPS6E0\nPyOmfT0eD6srlvOXva+wu2UvE3zjmVd0x3WKVEREEiWakSsRCUnxevnVQ3cy2sGmmXnTKcmYzKmu\n03y1eB7+FL+7AYqISMJphnaRGPlTU65apDkWHo+H7069j6k5t7KsbInLkYmIyI1AI1cicTY1t5LH\ncisTHYaIiFwnGrkSERERcZGaKxEREREXqbkSERERcZGaKxEREREXqbkSERERcZGaKxEREREXqbkS\nERERcZGaKxEREREXqbkSERERcZGaKxEREREXqbkSERERcZGaKxEREREXqbkSERERcZHHcZxExyAi\nIiJy09DIlYiIiIiL1FyJiIiIuEjNlYiIiIiL1FyJiIiIuEjNlYiIiIiL1FyJiIiIuMiX6ABuRsaY\nBcDvrbU1xpg3gKLQXRXAdmvtg8aYh4GfAP3Ac9batxMT7Y0ryjy+ACwGOkP33W+t7Yh/tDeuIXmc\nDfyZYN0dBNZYawOqx8iizKPqMYIheZxDMI8XgT3Ao6rH6ESZR9XjMIwxqcBLBP+epAHPAXXAy4AD\n7AN+Otp61MiVy4wxPwf+BowDsNY+aK2tAb4FnAMeN8YUAT8DFgErgd8ZY9ISE/GNKZo8hh46F1hp\nra0J/dMHxxWG5hF4BnjWWruY4AfKParHyKLJY2i76nEEYfK4DnjMWrsE6AC+r3qMLJo8hrarHof3\nQ+BsKGergD8BzwNPhbZ5gPtHW49qrtx3BPh2mO2/Bl601p4G5gNbrbUXQ8V+GLg9jjEmg4h5NMZ4\nganAOmPMVmPMj+MaYXIYmsfdwERjjAfIBC6heoxGxDyqHqMyNI+l1tptodtbCY6yqB4ji5hH1WNE\n/wSeDt32EByVmgtsCW1bD6xglPWo5spl1tp/EfyDdZkxpgBYTnC4ESCL4LeLQZ1AdjziSxZR5jEd\neJHgN5BVwCPGGH0IXyFMHg8Ba4F6oBDYjOoxoijzqHqMIEwejxpjloZu30swh6rHCKLMo+pxBNba\nLmttpzEmE3gTeArwWGsHl60ZrLtR1aOaq/h4AHjdWjsQ+vk8wW+7gzIJHuqSkQ3NYw/wgrW2x1rb\nCWwCZiUsuuTwArDEWjsNeBX4A6rH0QiXR9Vj7H4EPGGM2Qg0A62oHkcjXB5VjxEYY8qA94HXrLWv\nA4Er7h6su1HVo5qr+FhBcIhxUC2wxBgzzhiTDVQTPHlORjY0j1XAVmNMSujkxMXAroREljzaCH5Y\nADQCuageRyNcHlWPsbsH+IG1djkwCXgX1eNohMuj6nEExphC4L/AL6y1L4U27zbG1IRurwY+ZJT1\nqKsF48MARwd/sNY2GWPWEvyP8wK/tNb2Jiq4JDI0j/XGmNeA7QSHyF+11u5PVHBJYg3whjGmH+gD\nHlY9jkq4PDaoHmN2CNhojOkB3rfW/gdA9Riz4fKoehzekwS/FD1tjBk89+pRYK0xxk/wkP+b1tqB\n0dSjx3GcSI8RERERkSjpsKCIiIiIi9RciYiIiLhIzZWIiIiIi9RciYiIiLhIzZWIiIiIi9RciYiI\niLhIzZWIiIiIi9RciYiIiLjo/2ovQtbA0QY1AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c0868d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df[['path', 'pred']].iloc[-35:].plot(figsize=(10, 6));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Real Financial Data"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df = pd.DataFrame(data['Mid'].copy())"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [],
"source": [
"df.columns = ['path']"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"lags = 5\n",
"cols = []\n",
"for lag in range(1, lags+1):\n",
" col = 'Lag_%d' % lag\n",
" df[col] = df['path'].shift(lag)\n",
" cols.append(col)"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>path</th>\n",
" <th>Lag_1</th>\n",
" <th>Lag_2</th>\n",
" <th>Lag_3</th>\n",
" <th>Lag_4</th>\n",
" <th>Lag_5</th>\n",
" </tr>\n",
" <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>2014-01-02</th>\n",
" <td>1.359085</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-04</th>\n",
" <td>1.359350</td>\n",
" <td>1.359085</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-05</th>\n",
" <td>1.362780</td>\n",
" <td>1.359350</td>\n",
" <td>1.359085</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-06</th>\n",
" <td>1.361555</td>\n",
" <td>1.362780</td>\n",
" <td>1.359350</td>\n",
" <td>1.359085</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-07</th>\n",
" <td>1.357515</td>\n",
" <td>1.361555</td>\n",
" <td>1.362780</td>\n",
" <td>1.359350</td>\n",
" <td>1.359085</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-08</th>\n",
" <td>1.360685</td>\n",
" <td>1.357515</td>\n",
" <td>1.361555</td>\n",
" <td>1.362780</td>\n",
" <td>1.359350</td>\n",
" <td>1.359085</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-09</th>\n",
" <td>1.366840</td>\n",
" <td>1.360685</td>\n",
" <td>1.357515</td>\n",
" <td>1.361555</td>\n",
" <td>1.362780</td>\n",
" <td>1.359350</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-11</th>\n",
" <td>1.367850</td>\n",
" <td>1.366840</td>\n",
" <td>1.360685</td>\n",
" <td>1.357515</td>\n",
" <td>1.361555</td>\n",
" <td>1.362780</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-12</th>\n",
" <td>1.367115</td>\n",
" <td>1.367850</td>\n",
" <td>1.366840</td>\n",
" <td>1.360685</td>\n",
" <td>1.357515</td>\n",
" <td>1.361555</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" path Lag_1 Lag_2 Lag_3 Lag_4 Lag_5\n",
"Date \n",
"2014-01-02 1.359085 NaN NaN NaN NaN NaN\n",
"2014-01-04 1.359350 1.359085 NaN NaN NaN NaN\n",
"2014-01-05 1.362780 1.359350 1.359085 NaN NaN NaN\n",
"2014-01-06 1.361555 1.362780 1.359350 1.359085 NaN NaN\n",
"2014-01-07 1.357515 1.361555 1.362780 1.359350 1.359085 NaN\n",
"2014-01-08 1.360685 1.357515 1.361555 1.362780 1.359350 1.359085\n",
"2014-01-09 1.366840 1.360685 1.357515 1.361555 1.362780 1.359350\n",
"2014-01-11 1.367850 1.366840 1.360685 1.357515 1.361555 1.362780\n",
"2014-01-12 1.367115 1.367850 1.366840 1.360685 1.357515 1.361555"
]
},
"execution_count": 68,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head(9)"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df.dropna(inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"reg = np.linalg.lstsq(df[cols], df['path'])[0]"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.97114319, 0.02940651, -0.03444392, 0.03748178, -0.00381338])"
]
},
"execution_count": 71,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"reg"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df['pred'] = np.dot(df[cols], reg)"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ZZEVGJD660afi1uXEEBrow9FLTZxquoCCwupbcqJqW3uxtyShVrQcqntvRNX2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\nUnElIiIiEkL/P+7ig585l1vJAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f571198>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df[['path', 'pred']].iloc[-45:].plot(figsize=(10, 6));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<img src=\"http://hilpisch.com/finaince.png\" width=300px align=left>"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Prediction Based on Classification Algorithm"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = pd.read_csv('http://hilpisch.com/eurusd.csv',\n",
" index_col=0, parse_dates=True)"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = data[['CloseAsk', 'CloseBid']]"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Mid'] = data.mean(axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Returns'] = np.log(data['Mid'] / data['Mid'].shift(1))"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = data[data.index > '2014-1-1']"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {},
"outputs": [],
"source": [
"lags = 5\n",
"cols = []\n",
"for lag in range(1, lags+1):\n",
" col = 'Lag_%d' % lag\n",
" data[col] = np.where(data['Returns'].shift(lag) > 0, 1, 0)\n",
" cols.append(col)"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>CloseAsk</th>\n",
" <th>CloseBid</th>\n",
" <th>Mid</th>\n",
" <th>Returns</th>\n",
" <th>Lag_1</th>\n",
" <th>Lag_2</th>\n",
" <th>Lag_3</th>\n",
" <th>Lag_4</th>\n",
" <th>Lag_5</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2014-01-02</th>\n",
" <td>1.35931</td>\n",
" <td>1.35886</td>\n",
" <td>1.359085</td>\n",
" <td>-0.005884</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-04</th>\n",
" <td>1.35965</td>\n",
" <td>1.35905</td>\n",
" <td>1.359350</td>\n",
" <td>0.000195</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-05</th>\n",
" <td>1.36286</td>\n",
" <td>1.36270</td>\n",
" <td>1.362780</td>\n",
" <td>0.002520</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-06</th>\n",
" <td>1.36163</td>\n",
" <td>1.36148</td>\n",
" <td>1.361555</td>\n",
" <td>-0.000899</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-07</th>\n",
" <td>1.35755</td>\n",
" <td>1.35748</td>\n",
" <td>1.357515</td>\n",
" <td>-0.002972</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-08</th>\n",
" <td>1.36068</td>\n",
" <td>1.36069</td>\n",
" <td>1.360685</td>\n",
" <td>0.002332</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-09</th>\n",
" <td>1.36701</td>\n",
" <td>1.36667</td>\n",
" <td>1.366840</td>\n",
" <td>0.004513</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-11</th>\n",
" <td>1.36815</td>\n",
" <td>1.36755</td>\n",
" <td>1.367850</td>\n",
" <td>0.000739</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2014-01-12</th>\n",
" <td>1.36718</td>\n",
" <td>1.36705</td>\n",
" <td>1.367115</td>\n",
" <td>-0.000537</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CloseAsk CloseBid Mid Returns Lag_1 Lag_2 Lag_3 \\\n",
"Date \n",
"2014-01-02 1.35931 1.35886 1.359085 -0.005884 0 0 0 \n",
"2014-01-04 1.35965 1.35905 1.359350 0.000195 0 0 0 \n",
"2014-01-05 1.36286 1.36270 1.362780 0.002520 1 0 0 \n",
"2014-01-06 1.36163 1.36148 1.361555 -0.000899 1 1 0 \n",
"2014-01-07 1.35755 1.35748 1.357515 -0.002972 0 1 1 \n",
"2014-01-08 1.36068 1.36069 1.360685 0.002332 0 0 1 \n",
"2014-01-09 1.36701 1.36667 1.366840 0.004513 1 0 0 \n",
"2014-01-11 1.36815 1.36755 1.367850 0.000739 1 1 0 \n",
"2014-01-12 1.36718 1.36705 1.367115 -0.000537 1 1 1 \n",
"\n",
" Lag_4 Lag_5 \n",
"Date \n",
"2014-01-02 0 0 \n",
"2014-01-04 0 0 \n",
"2014-01-05 0 0 \n",
"2014-01-06 0 0 \n",
"2014-01-07 0 0 \n",
"2014-01-08 1 0 \n",
"2014-01-09 1 1 \n",
"2014-01-11 0 1 \n",
"2014-01-12 0 0 "
]
},
"execution_count": 80,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head(9)"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn import linear_model"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"lm = linear_model.LogisticRegression(C=1)"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"LogisticRegression(C=1, class_weight=None, dual=False, fit_intercept=True,\n",
" intercept_scaling=1, max_iter=100, multi_class='ovr', n_jobs=1,\n",
" penalty='l2', random_state=None, solver='liblinear', tol=0.0001,\n",
" verbose=0, warm_start=False)"
]
},
"execution_count": 83,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lm.fit(data[cols], np.sign(data['Returns']))"
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[-0.06324884, -0.01638819, -0.24165579, -0.03844783, -0.07718837]])"
]
},
"execution_count": 84,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lm.coef_"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.07862181])"
]
},
"execution_count": 85,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lm.intercept_"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 1., 1., 1., -1., -1., -1., -1., -1., -1., -1., -1., -1., -1.,\n",
" 1., -1., -1., -1., -1., -1., -1., -1., 1., -1., 1., 1., 1.,\n",
" 1., 1., 1., -1., -1., -1., -1., -1., -1., -1., -1., -1., -1.,\n",
" -1., -1., -1., -1., -1., -1., -1., -1., -1., -1., -1.])"
]
},
"execution_count": 86,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lm.predict(data[cols])[:50]"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Prediction'] = lm.predict(data[cols])"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
" 1.0 563\n",
"-1.0 497\n",
"dtype: int64"
]
},
"execution_count": 88,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sign(data['Prediction'] * data['Returns']).value_counts()"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data['Strategy'] = data['Prediction'] * data['Returns']"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {},
"outputs": [
{
"data": {
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1sJpImpwtYdsajWaUWiJEVxJECSHEKPL6vJS1HQdga83OHs9bV76BSmu1uh2p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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x114875668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data[['Returns', 'Strategy']].cumsum().apply(np.exp).plot(figsize=(10, 6));"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Out-of-Sample Performance"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"cutoff = '2015-6-30'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Training the Model"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {},
"outputs": [],
"source": [
"train = data[data.index < cutoff].copy()"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"DatetimeIndex: 464 entries, 2014-01-02 to 2015-06-29\n",
"Data columns (total 11 columns):\n",
"CloseAsk 464 non-null float64\n",
"CloseBid 464 non-null float64\n",
"Mid 464 non-null float64\n",
"Returns 464 non-null float64\n",
"Lag_1 464 non-null int64\n",
"Lag_2 464 non-null int64\n",
"Lag_3 464 non-null int64\n",
"Lag_4 464 non-null int64\n",
"Lag_5 464 non-null int64\n",
"Prediction 464 non-null float64\n",
"Strategy 464 non-null float64\n",
"dtypes: float64(6), int64(5)\n",
"memory usage: 43.5 KB\n"
]
}
],
"source": [
"train.info()"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"LogisticRegression(C=1, class_weight=None, dual=False, fit_intercept=True,\n",
" intercept_scaling=1, max_iter=100, multi_class='ovr', n_jobs=1,\n",
" penalty='l2', random_state=None, solver='liblinear', tol=0.0001,\n",
" verbose=0, warm_start=False)"
]
},
"execution_count": 94,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lm.fit(train[cols], np.sign(train['Returns']))"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"train['Prediction'] = lm.predict(train[cols])"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
" 1.0 249\n",
"-1.0 215\n",
"dtype: int64"
]
},
"execution_count": 96,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sign(train['Prediction'] * train['Returns']).value_counts()"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"train['Strategy'] = train['Prediction'] * train['Returns']"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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MW5ebXl+463h1cw/vHd1HjbOOGntdbLu0uBSWZS0e9Bi+oI9Wdzu/2fUw5+ed\nwxUln0OWZfa07yddn07eIK4QweiRZZkKWyUqSUlxJNPuqtJLONhpYZ+1nH3WcjL0abS5rRQnFHLH\n/FtGbaYfKbU99UC47x2ErTLxGhOWziocPhchOUS8Jh5JkkjUJpwyt6Av6Kert5vpidOGdKFELUbN\nztYRiyt7r4OnKp5FqVBi0hhpdrXE3Esdnk7+uPdPBOUgZ2UuoiHi1hnKcgXwucIL+ahxMwa1niPd\nNRzpqo4JKzg1wexnOtEYnu5eO4+V/YV8Uw5fnfPFCXO5DUab51jdtXZPB23u8PsMfXqsTpptgpIw\nLJ1VsdeB0Mk9Gn1rtZ3MVT4UVk8HEI7JzDJk8FrVW3R4bJiTSmJuwtEgxNUUoNHq5B8fVqFUSKQm\nxqFUSDS0O5EhJqx+8pWlmPQaEowa/v7BEerbnbTY3BRnj28vrk3lLfz57UNIwBcvns4Fi04eTxMM\nBVFIiiGtR7IsY3f5aLQ6qdpSy8e7G+lxhd0is4uSOXC0k0ZXIwkaE1+d8yXKOw7yfv1Gym2VLM6Y\nj73XQbIuEUmScPicvGB5hTLrAWTCacLv128kWZeERqnmmcp/AHDTzOuGFGaCkdPobKbF1caCtDkx\nd1ecKo7b597Ee3Ufs9daHrso19hr2dNeNqCHXt8+cuNJbaTxb1FEXEmSxMzk6Wxv3c3/bPlfgFhF\n9ARtPO2ejn4xJD0+ByE5hE6pO6EglGWZV6vfIteYHSsI2peOSImFtBM84edGBFWTs4WlLBzRPNvd\nVoJykDW559LT62Bb6y6sng7S4lJ5eN+T2LydaJQa3q37CAC1Qk1K3NA3h88VXcS6wjVsa9nF85aX\n+f3ex/utF+Jq/Ik2b250ttDV201Xbzd/PvACX519w6TFYEVLhwCUWQ/Q5mpHQiJdn4onEL7/RHtj\nnmpq7LUAqBUqOr3dJ41Nq+pTq80b8KIfRYxUu7uD9LhUbphxNRDO6n35yBtcXHD+iI/VFyGuJhmn\nx88f/rkfW0/vkNtMy44nP+NYu4zs1PDTT3OHa1zFlc8f5NVPwj9WlUrBC+8foSDDxLScof3OB2wW\nnjn4IqlxKdw067oBpuM97WW8u6uWw2XHLtTGODU6jRJZhmtWT+NAYzO9spsZ8bMpSSxiWkIhe9vL\n2dtexgHbIXxBH4vS55FtyGRX2z5a3e2oFWr8IT/pcal09nbz4uFX+533jZp3WJq5cEqY3T8L7Gjd\nAzBAVBRqJ5QYAAAgAElEQVTE53Hr3Bv5qGETHzdu5trSy3m07M+UdVT0E1dbW3bx0ievc9ucm2KV\nuccDWZY5YDuEhERhfF5s+ZUll+Dyu6iwHQKO9QNLiMVdOUiJS6K6u5bf7nkECAfufmX2DSzOmD/o\nuey+Hj6o/4S0uJQBn0Ont4uDneHSFCdyn0StVY3OsMujoqOSZyr/wV2Lvk7mEC68vuePzsGkMUIr\nNDqasXpstHs6WJG1lC9M/zz7rBXsbNtLnjHnhL9/SZJQSkpW5Swj05DBq1Vv0ehsilkrhLgaf6Ix\nVy2REhgKScE+azmv12zgqpJLJ2VMLX3KcbxW/TYKSUGyLhGNUhMrHzJRlqtqey0apYZ5qbPY1baP\nTm93v0SLKIFQgJ1t+9jdtj+2zDMKceXyu3H6Xf2uHXNTZzE3ddboJxFBiKtJZu8RK7aeXtYvz2f9\nsgJsdi9VTXaef/8wl60sJBiSWVDa/2KdnRL5g9r6B0U6PX5kWcakHxhIOxy2Hmil2+njc8sLmFWY\nxG9e3Mejr1dw75eXElL24g640Sg06NVx6JRaqu21PFb2ZwAcPU5+vfshri65DE1vOpVVHnZVNeEr\nfZeQJkRS4nrOmZ3PghkZ5CbH4Q+E8PQGSI7XkZDmxgfkRTKYJElibupMPm7cjC/oI8uQwZ72MvZQ\nBsDq3FVcVnwxnzRuZWnmQmRZZlvLLvZayzk7ezmNzma2tuzkSFcN5uSSUX0WAP5QAFmWUUqKKZXZ\nM1HYPJ30+Bwk6RLZ0rwDo9rA7JQZg257ft7ZnJe7CkmSyDJkUNl5hNerN4Srlfs97I8ETNfYa8dV\nXJV3HKTB0cTC9Hn9LqwmjZGrSy+Liauo5SqafWT39ZASl0SFrRKAovgCjvbUUdV9lKKEfOI1pgGu\nmmiQq9Vji83L4XeRqI3n59t/iz/ixkiPG1pc6dV6krSJsWNtadmJ0+/i3bqPCckhrij53JAZUj0R\nd2aCJj6WxdTobKE9YjFcnbsSjVLDWZmLBrWsnYhpiYV8b/E3CYQCfGfjfwOc8kr2ZyLRFjjRmLh1\nhWv4oH5jOPli9JeqMdHqaic1LoUbZ36B16re4mhPPbmRUh0J2niUkhLrBBS+dfndtLjaMCeVkBb5\nD9m8nQPElSzL/GHvn6ix1/Z7eIha2UZC9L+T3ie+bLwQ4mqSibr95hQmY4xTY4xTU5BpYsXsTOK0\nykFdbVHLVVPHMXEVkmUeeH4P7V0evvK5GSyfNXSsxVDsrwr/gc5dkE16YhxXnFPMa9sOcO+nv6dX\n3dFv22jgrCzLfHvhbTTY23ml+nX+VvkiAEFXIqRqUUpBJAlmzA5yxTnFpKWZsFodqJSKWLxYYrqH\ndiBeOvYDX1e4BpPGyPKsJRhUeg52HkajUJMclxTrkba28ILY9pcUX8wlxRcDcKSrhq0tO3m9ZgO3\n6W8kSZcIhK0naoWKBE08ITnUT3h91LCJw13V3DrnSzj9bl6wvEx5RzgjU6fU8eXZ13O4q5rLitei\nGSQL7LOGPxTgN7sfwe7rQUJCRua6aetPGBsS/a0uTJ/H20ffi7mn+uINDm2hHQ0fNnyKhMQlfQK7\no/S9YEZdmalx4Qv1htr3uX3OTVR116CQFNwy54v8z5b/Y5+1nE+atnBuzgquM1/Z73hNjpbY6z1t\nZfyrZgO9g2T9nexCnWvKoryjkiZnC5bOIwBsb90NHBOFEI7LeXT/n7m69FKmJ5Vg9zmA8A0vU5+O\nQlKwp72Mrt5u8ozZ5EVuiKNFkiTUSjUL0+ext70sZrUQjB/RFjjR4q1pcSmkxqVg9diQZXnCE3Ps\nvQ6cfhdFCQWUJBbxvcV3UNtTH6t7ppAU5JqyaXA04Q30ntI4ymiGa74pt0/BXRu+YCGP7H+KOakz\nuTB/NS2uNmrstUxLKOQrs29gU/N2/l37wajEVZsQV59dOuzhLIfUxP7F+vS6ob8aY5ya1AQdRxq7\nCQRDqJQKLHVdNFnDYuvptw4xrzj1hMc4Hn8gyMG6TrJS9KRHxrJ2WQ4fOV6kV21D6U5DJ8cjKYNI\nKj8BfATlAMvSl6H2prPh7Ta8geXEp/egSbHhNIUvHrIMkgQ+fRPBUHDQc4fiOpED4LMfc32aNEbW\nFa6JvZ+fNnvYcylJLIrdIB4v+ws/XPptenwOnj/0EhISQTk8jj+e9wuUCiXBUJB/136A0++i3FbJ\nWzXv0uxqJdeYjVappdp+lMfK/gJAWlwq5+auGPZYpjLBUJCH9j9Fs7MlFgh9Ts4KAqEA9T2N2H09\nFJjy8AQ8JGjjWZW9bFjHvSj/PPKM2ejVeuI1JtQKFf6Qn/u2/SpWnG888IcC4adsY1a/0gJ9WV+4\nhg21H1CcUAjAssxF7LdWcNBmYWvLTup6Gsk1ZpOkS0Sn1NETETCfNG0dKK5cx8TVP4+8DsD8tDk4\nfE50Sm3MLXgyUTIr2Ux5RyX37/zDgDi07a27uXzaetQKFQdth2l0NrOrbX9YXPVGxJXGhF4dx8K0\nuexuD7tFLsg/dzgf2bC4eeZ1LMtcxJyUqVcg9nTneKtkvMZEii6ZJmcLTr9rwl2xO9vC7v6SSL9J\nSZIoSijot405qYS6ngaqumtOadFgZ6QrQLzGSIou/B861HkEm7crnHDRXcOF+atj1uZV2ctI0iUS\nF2mj5A2OXFxFu0wUnIJafUJcTRBVjXbe3FrLly6aTlraMRHR0e1FIUkkx4/siWB+SSof7G7klY01\nIMGBo2Gf+NziFMprbOw9YmXV3P7ZSG6vn2abm5JBYqgsDd34ZC+m4hbc/rCL5bXqt+lV20jwFdNR\nacYZHOgm+FAp8SF7CAZDXHHuQi5ZUYBCkujutbPfeoD3NnfQnbSLg/YKvrvxf5iWXMC85Ln4Q34c\nfieXFa2lK9SG7DbR1Db62j99kSSJW2Z/kT8jsbt9Pxsbt9Ddax9wI6tzNFCcUEi1/Wis7swT5X8D\n4JycFVw3/QpkZO7f+YeYG2e/taKfuBpthspUwNJVxeGuKkwaI0qUbGzcwqdN2/oVFLx93k3DKuTX\nF41SzbzjxLA7IqrGU1w1OJoIhAKx7MXBuKToYtYWXIBaqY6MTcOVJZdQueMw79dvJCgHYzeWlLik\n2Pc8mIWu0dmCRqlBlmX8IT/Tk0q4dc6XYt//mzXv4A54T5r5dU7OCnQqHa9UvYnD5yRFl4zN24mE\nhMvvprzjIIvS59EUicuKupCileajLs41+eeyu30/qbpkFqcPHic2GtRK9bjEnAgGEqfSYVIbcfiP\ntReKJh3YvJ2nTFx199p5uuI5rp1+RSyTOhgKsrFxCxqFmpVZS4fcd0ZSKe/WfYSlq+qUiitH5Bps\n1BjJMmSgVqjYay2PrVdJ4dCMio5KJKRYiEKcMiyuRmq58gQ8lHUcIEOfNmar72AIcTVBbCpvoaza\nxh97yvndXatjy612D8nxWpSKkd2gF0TE1b931MeWFWWZuOGiUn78uI3tB9v6iatAMMSvXthHXZuD\nb101l4XT+5tBy6psqHOqaJDq+ctBD2dlLmJj42ayDBn8YPVXUa9VIwG+QAi3N4BapaCqyc4fXyrD\noFPytavnMqf4mG88UZvA6tyVrLgqiKXLzD7bfpqdrRzuPIrFdizDI1ETT1AOILuSONrpGNFncCIk\nSeLS4ovZay3npSP/AkCjUJNlyKTOEc4ue7riebKNmbFU3Cgzkkq5pvSycMNdJK6bfiUfNXxKg7MZ\nS1cVba52quxH2dm6lxp7HVeWXML5eWeP29gnir3t4Ri2W+fciE6p5YFdf0SlUDEvdRbugId5qbNG\nLKyGQqfSIUkSrjEUT3T4nBywHaK6u5YEbTyaiGCaFrFKDUbU1dWXLEMGOqUulgEV7TmYrDsWC2VQ\n9Q+M9QZ6aXdbKYzP55rSy/AEvJQmFvcT1pcWrx3WPCRJ4qyIZajF1Ua2MYPtLXsoTMjjV7seYr+1\nIiKuwmNpcbWGM259DvSquNh8CuLz+MrsG8jQp5+RMYGnK2n6FBz2qJXGFLPS2DydsXIi482HDZ9S\nba/l4f1Pcv/Z9wDhpIpObxfLs5acMBC8OKEAtULFxsYttLraOT/vbGalmMd9jNFrg1FtwKgxcO/y\nH7LfeoBDXYcp76gkIAfp8nZTY6+jKCE/lhwQbQA+UnG133oAfyjA0oxFp8QdK8TVGHF7A/gDwZPW\nhGpoD/+ZGq1Ofv/3vXx1vRl/IITd6WNGfuKIz2vOT8QYp8bnD3LnVXNJT9aTbNKiUiooyornQG0n\nNruXOK2KfVVWNpe3UtcWFi/PvGthVmEyWs2xC3JZjQ1lbrgK7wHbIQ7YDqFVarhtzo39Kk1r1Uq0\n6vB+C0pSufvmJSQatSSZBp+/Rq1kbrqZuenhP6PaGOLdyi3sad9Pjb2OVyJVeJMVWTS0O2jrcpOa\noMPlDRA/ysD8KOn6NO5a9HUO2CzYPJ2Yk0tZnrkYd8DDDz/9SSwVGiDTkMH6wjVYOqu4Zvrl/awP\n0xILmZZYyCeNW3nx8Kv8dPuvj81PoealI//ivbqPuWb65XR5u1mSsSCWlTYWXjr8Lw52HuZHS/8j\nJiRGgj8UoK6ngaL4/AE3X2/Ay37rARI0JooTClBICr676BvoVXEDGg6PBwpJgUljGJPl6vd7HosV\nOOxL8QnE1VBjKYjPjbWpMSeFY++Sdcn9tunLwU4LITnE9KRpFPTJLBoLenUc0yJWt/PyViHLMim6\nJCo6DhEIBWLiyhvspdPbRU9vz4Df1ZKMBeMyFsHEkRaXGqvnZ1Dr+2TknbpyB2pF+PoRbcgNx+KN\nTuYSUyvV3Dzr//FO7Qcc7LRwuLuan674cSwDd7yIFvOMiqYkXSLn5a3ivLxVPFf5EltadrCpaRsy\ncj+XddwoxdXRyHcwJ3XwJJ2xIsTVGHnw5TKqm+3c/7UVJMfr+q3rdvbS3uWhJCeBJquTnFQDhjg1\nm8uayUszkJoQ3v74eKvhoFIquPvmJWjUShIM/UXI+QtzePrtHn7w6BZUSolAxJ1XkpNAbrqRj/c2\nseeIlRWzw0HvbZ1u2p3dxMWF3Q4SEhqlmptmXX/SG21R1shERGJcAufnnc2q7GXctfG/kZFRSAqm\nJ02jtaaTHz++DaVCIiTL3H3zEgozxyZSihMKB9x8DWo95qQS2txWvrXgNlJ0SSgVShSS4oQ3q7Nz\nltEb7OWTpq0szVjIquxl+EN+Xq16k0NdVTxV8SwAh7uq+Mb8r456zMFQEH/Iz5aWHfQGfZRZK1iS\nObKaSPvay3nB8gpOv4v1hRdyaSTY3+338OC+J3D6XbgCbtYXrokJieNjLcYbk8aI3Ts666Qn4KXV\n3U6eMZsvmK/g9eoN1NjrmJMyM5awMBKStOF9ihMKY8IzpU/BQKff1S/AeL+1AhhZ7N9IkSSJeWmz\n+ahhE09VPIe7T9XpOkcj7oBnSvRxFIyNvqU6FJIiZrnqGIeek0PRt92OL+hHo1RjdYct9ieqyxZl\nYfpcFqbPjT1gftCwcdxLR8RcpYN0Boi6Tjc2bQHo556MxVyNUFw1OltQSsoh4zXHihBXY6Czx4ul\nIWz5+Ns7FrJTDWytaCXRqMWoV8fioL52+Wx8gRAFmSauPW8a9zy9g79/cCR2nLQE3aDHPxlpQ4iy\nZbPSefZdC75AiJR4HSvnZLJkRjpZKQZabC4+3tvE9oNtMXG190gHyoTwU8xVJZdyTs4KVBGxcarQ\nKNUsTp/P7vb9fHHGNcxLmkNeciuH6rvYbQmPZUdl+5jF1VDcMf8WgnJoRBYhhaTgooLzuKjgvH7L\nvzH/q7GLDoRbiWxu3o7L72ZR+vzYk6nb5xlQFM/m6UKjVNPu7qCyMxzAfKSrul9W3es1/0an0tHh\n7cTm6aS2pwF7r53vLb5z0KfH/dYDPFHxTOz9lubtrC9cg1KhZG97GfWORiAcqLq+8MJhz3+sGLUG\nmh1tI45Te63qbboj/QBLEospTijkrkXfGFO826XFF9Mb7OXKkktiy/pWY/aH/PQGfdi8nexs3UuZ\n9QDJuiTyjOMfm9GXc7KXs6etjLJI6YrihAJq7HVsbdkJQPw4WwsEE0/acaU6or+7aFmAU0HffpoN\njiamJRbSHgmHSI8bfqbciuylbKh9n23Nu7hy2iXj6k6LWa4i5Sr6EhWgnoCXJG0i2X06DxyzXA2/\nBU5IDtHsbCHTkH7KquMLcTVKvL4A7+9ujL0vq7ZRVm1Dr1XRbHPhbzsWPP3W1loA8tONJBi13Hnt\nAh78xz6yUvRUN/Vgzh99if3BUKuU3HnVXBqsTi5cnIdadewGlJViID/DyIGjnVi7PaQlxrGlohVV\nYviPPTtlxqhcUKPhevOVXFxwPrmRAMs1i3NZszgXnz/It//4KRv3NZOZrKcoK5689GNPM26vnzit\nakx/bKVCiZLxi1M5N3cFpUnFHLXX8dyhl3j+0MsAHLXX87V5N+MJePnhW/eTpkvlmtLLcPndbG3Z\nxX5rBcm6RFx+TyzbJVGbEBNXJo2RTm8Xj0bqifWlrOMA5+Qsp9PbxTu1H+IN9iLLMrvb96OQFPxg\nyZ1sa9nNxsbN/GHvn4jXmmJxVnct+gaF8XkTGqtj0hqRkfEEvMPuNu8N9PJe/cex95l9LKljEf9J\nukRunXtjv2VFCfkkahNw+934Qn7qHQ08sv9p/KEAGoWaS4ouOuWp8hmGdH6+6r9ocDTR6GhmTupM\nfr/nsVhW04niywSnB8fHMepUWvJNOVR1H8Xm6TphVf3R0ref5vOHXuLa6Z+n3d2BSqEiaQTNidUK\nFUXx+ezvODDu2Y1OvwutUjMgRhLo95kszVzY7384WMyVP+jn3fqP6fR08aWZ1w7431rdHfhC/lH1\n9xwuwxJXZrN5GfCAxWI577jllwH3AAHgaYvF8oTZbFYAjwDzgV7gVovFUsUpQJZlunq7kZDQq/Wx\n2CB/IEij1UVhpmncL4Yur5/3djbw3q4GPL3hlP7/vW0ZL31cTWunm+9fv5BEowZ/IIQvEOI//vgp\njZESCXmRKusr52VTmmWKzeFUXLDnFKf0CzDvy4WL83j67Up++fweZhQk0djRg6Gwk2RdcqyG1ESg\nV+sHDaTUqJXMKkhmX1UHf9kQLgK5ZnEuy2dnUN1o58UPq8jPMHHTOvOI3ZKnkixDBulxqbj8blQK\nFZ80beGg7RBHuqppcbXj8rlx+er59e6HY/sY1YZYYPWF+as5N2clybpEXj7yBm1uK1+YfgX7OyoI\nhIKk6pJIiUtBIUn8cteDVHYe5pyc5bxW9XYsJT/KsszF5Jty0So0bG/ZTbX9WA+uovj8WIbcRGKK\nxFK4/C4Maj2BUIB/1fybZZmLh7zIHf80f6JeeWMlUZvA/676b16pepMP6j/hk6Zt+EMB1hdeyMUF\n50/YQ0c4JiwvFtt169wbebLimZgrWnB6k2fKJkWX1O+7XJ27imcq/8GnTVu5ouRz437Obq+dFF0S\nM5Ons7l5Bw/uewIIx5qO9CElWhOqzW0dd3FlHKJZeF+r8urclf3WxanCHhxP5OG0wdHE0xXPxSxz\nl09bNyBWsTESz5hrPHU9aE8qrsxm8w+BGwHXccvVwO+ApZF1m81m87+AVYDOYrGsMJvNy4HfAJ8f\n60Dtzl5kwrFG/kCIJJOWl6ve4KOGTUA4sPjGWdeRZcjg5T1b2LPZxLqzCjlvYTaBoExmsh6FYmwi\npqrJzsOvlGN3+TDp1SydkUJ+hpGsFAPfunpeP6GkUSvRqJUY49Q43H4yk/WU5g58QpjoonEAZ8/L\nosPu4Y3NtWwub0Vh6iIk+ZmdOmNSxjMYaxbn0tDuYMWcLHZb2vlgdyMfRCyFOo2S+jYHDzy/h+9+\nYQHT80Yec3OqUCqUMbdhj8fNu43v9+vZdm7OClQKFXpVHEUJBeSZcrhv6y9RSAo+V3RR7AHhmumX\nx/a5MH81x5MWl8J+awVv1rzDnvYy8ozZfH3+V+jutVPeUcn5ueHsxQxDOr869yf4QwGs7g4+btw8\noOffRGHSRsVVOKh9v/UAH9R/wscNm7ln+Q8wqvWxp9AoxwewZ56CYPsB44xc4Pe2lyEhRSqfT4yw\nGowcYxb3Lv/hpJ1fML5olBp+uvLH/ZYtTp/P3y2vcqjzMDC+4ioQCuDwOyk1FPP/ZlzN2TnL+eWu\nBwnJIUZztY9WTLe6O8btIU2WZZw+JzmmwcVOvMbEjKRSCuPzBlj+NAo1CkkRi7l6peot2j0dJGoT\n6O61447U6evLgUjnhlNRgiHKcCxX1cBVwDPHLZ8JVFksli4As9m8CTgXWAH8G8BisWwzm81LxjLA\nHZVtvLOjgaMtPUhSuCilMU7Nb+5YRWXnEdQKNQvS5lDWcSAWUAygMJ3Fv3fUx0oVGHQqZhUmM29a\nCstmZaBSjkyty7LMI6+W0+P2ccU5Raxdmt8v2w4GF0pXnVvM65uOcsdVc0d8zlPJFecUs/asfNq6\n3Py76W3K7UypooGzi5L51TdXAbB+WT5bKlrpsHvw+UNcuCSX1k43D71czrPvHuYnX12KYoSiMCTL\nhELyKf1OJHsOckgBMkjKEHp13IDClADfX3IHEop+WZknY3bKDD5u3MyG2g8AWF90EYnaBBK1CQPS\nuRVS+Ni5pmy+NPPasU1qDESfcqPBtXWRhstBOci9W+9Ho9TwpRnX9uvt17epLDBsd+JYMPZ5Gi9J\nLBI99gSnHLVSjV4VN+4dDIBY8dmoKMkz5XDjzC/w14N/H1V9tGiMVvtxJWzGgjfYS0AOxtoDHY9C\nUvCthbcNuk6SJOKUumNNpj2dJGoTOCtzEe/WfTQgQ9nqtrGzbS+ZhoxTasE/qbiyWCwvm83mwkFW\nxQP2Pu8dQMIgy4Nms1llsVgCJzpPUpIeleqYWPnbvpfRKNS89o4Sjy/IvJJUvL4Ah+u7cXr8WN1u\n2lztzEwr4Qfn3U59dxNP7fk7ldawB1LSeFkxNwuDTk1Ilimv7mDnoXZ2HmpHF6dh3YrBpjSQUEhG\nksLFPrudPlbOy+KWK+YNa1+Aay6awTUXDUz17FtIdDLJzDLySNUhEnXxnD194YTE4Ixm7vm5/eMQ\n5gEVtV18tLuRA/V2LlgSdqE43D70WhXKk4im+57cRmO7g599bSVJ8TrUSsWYLZsQFuG7D7WjUkpU\nHvHhbTmXuYUZVHp2MLNg7qBzT2Pkn8dN8VcyK3saJq2RBK2JkpTCMY/9VGNyRC6c2iBpaSZq99b1\nW+8L+nir9h3Wzg6L6pcPbuCdug8BWF96PnkJ2RPyv8n192nDZF49LuecKv/3yeBMnPto5qzX6nD7\nveP+eXV2hB9QspLSYse+JG01CwvMpBlSBo1xOhFqYyHshe5g14Cxjnbsrc6wMEoxJY7qGAZtHL6Q\nj5RUA3ZfD0WJuaQnJkEdqPVyv2O+tOM1QnKI6+ZdQkb6+NTxG4yxBLT3QL+7ggnoHmS54mTCCqCr\nK6wuQ6EQre523rS8D4BXsZJz583g5nVhgbL1QCtPvHGQjw9UICOTqcvEanUQRzx3zr2dfdYKnij/\nG1q9j9suOWaJkdeUUFZt4w8vlXHoqI3FJYPHIwHsOWwlwaghK9nAT/68A38whDniespIjMNqHVux\ny2h/vcmky9vNJ01bqetpwOVzc2H+ajpt41c9eyjGc+7rl+axeX8zf3q1jMwELb5AiJ//dRfJ8Vq+\nccUcctOM1Lb2UF5tw2r3MqsgieWzM3F7/eyqDPexuu3/wr+zzGQ9P73lrDFZsnr9QSrruvjjS2Wx\nZTPyM7nz8/P5waMe9ndCy0p7v3PIsszj/zqASqng1ktHVhV7tnFO+EWISf89DYdMY9il9/SeF/mk\nZgc1XfVk6tPRKDWcnb2Manst21t3s62qHFmW+UfFG7F9L8ldhyRJEzJP2XPsAWO63vyZ+L9PFmfi\n3Ec7ZzVqPP7ucf+8DreEvTfaYP97lxoD3b1eYGQlDGRZQqfU0tjV2u94Y/mu6+3h67EqpBnVMXSK\nOFo8rRxtbiUQCmBQmpB7w//jZlsnVk34mDZPJxtrt5GhT6dEN31c/ttDMRZxVQmUms3mZMBJ2CX4\na0AGLgP+EYm5Kh/6EP3x+Hz85we/Iqg9ZvhS51Qxu/BYANu0nARU2VVs9oQtVMcXQEuLNGbVGPq3\nUpEkKRab09o5tIiob3Pw0CvhIWckxdFhD//wdlSG1X9BxunvIujutfO7PY/GAqlNGuNpGSibmhjH\nFy4o4dl3D/Pjx7dh1Kvp9Qdpsbn564ZD3HbZLP73b7sJhsJ1vnYeaufDPU1UNYV/XwadioJME7ae\nXlo73Rys7WTetJPXfBmMfVUdPPJqeaym2MVL83B6/Jy/MAe1SskScxof7mnCUt/N7KJjxSr3HLbG\nfltnz81iRkHYQlfT3EOXw8ti86mPMZooZqWXcoP5at6p+yiW/bYkYyHri8I9JNP0KWxv3c2fyv+K\nVnmsKG1xQuGExgLmmXK4vHgd89PmnLatjQSnH1qlFl/Qx6HOIyglJaVJxeNy3N1t4WSXGcml43I8\nSZJIi0uh1W0dt4SsWFNyzegSlJK0CdQ7GmPN1ZO0CRjUkUD3iFuwydnC42V/ISSHWFd4wSn/b49Y\nXJnN5hsAo8Vi+ZPZbP4u8A6gIJwt2GQ2m18FLjKbzVsACfjKcI/9wp6PYsJKCuhQyTrkBCtFucfi\nLNISdKhyjiUfxiv6Z7fpCLseVNqBferitCoSDBraTiCutlSE+3ilJuho6/KQlqhjXnEqH+wJB1Pn\npZ/+Ju5/Vf8bm7eLdQUXsDpvFSa1ccoEso+U8xfmoFRIfLyvmbpWB0tmpOPtDVBxtJNHXqsgGJK5\n9vxp2J0+3t3ZEBNWAN++Zh6luYlUNdn5v2d2s/1g+0nF1W5LOx/tbWLZrAyWzczA6wvy5tZatla0\nxoRVUVY816/pfyFbOiOdD/c08d6uBqbnJeLy+tlU1sI7O+pjsYQPv1pOYVY8JTkJvL4pnN33mztW\nDTIOYcQAACAASURBVFn9/nRkVc4yVuUsw+l3YfN09ssSLEksZl3hGrY276DT28X0xGlcM/1y9KqR\nF9kdC5Iksbbwggk9p0AQjbl8ovwZTBoDP1nxn2M+ZnevncrOwxTG549rMkiCNp4GZzPeYG+sztRY\nsEdKRYy2s0VipJzE0Z662Ht9pIWVK1L/6t26j7B5u7go/7wJ6WwwLHFlsVhqgeWR18/3Wf4G8MZx\n24aAr490IP+x4f/wqxwgSaT1LKOxQYkypQV1djct3gZSjGEXX4/PQVQHBFoL6MnWQJ/fjNejQA4q\nkNWDFxTLTNZzuKEbfyCIWtU/vigYCrHtYBsGnYr/vW05lvouMpL1eH3BmLhKNI6tJctEYfN00tVr\nHxCw5wv62WctJ0WXxKXFa09bURVFkiRWL8hh9YIcOuweEo1adlusVBztpL7NSX6GkbVn5WN3+nh/\nVyOSRMySFS3jMC07npR4HXuOWPH5g2jUg8ed7ahs47HXw8UdD9Z28cL7R4jTquhy9KJUSFx1bjGd\njl7WLBqYgVKam8isomTKqm187dcfx5bHaVXceLGZJquLXZZ2DhztjBWfBdh7xMoFiz57VbmNasOA\nYoH/n737Doz7rg////zc1i3pJJ22rWX7471iO3acRYITSICE0CSQMJpAKZTSMkpL6ZcWShe/lu6m\nlA2lpcxAgCRkD694b/ts7S2dxp10p9Pt3x83tG1ZPuks6fX4x9J9Pp+790eSdS+936/366VRNLy9\n5m7urd5Dl78Hhyk3vc1aiMUuNVs7Eh0hFopd4eyZOdd3kTjxjAcTtmTz8KHQUEaCq1SR4Nn2Mk11\nXGgcTCyB5hns6c0vqabxTd4WLDoz99W+dV7e966bIqJh3RCaqBHVsom37HgTf3vxGDFvCMoaxnXj\nTvUD2pZ7C68fstBcnpitSPH4QsRDJiI5U89OFeebcbV66B4IUOEcv8RX1+Zl0B/i9s1l6HWacXWi\nbt9STmGuaUEEI7F4jP84+U26h91sKdrIzpIbsBttjESC+MJ+gtEQt1XsXhD3cjUKcxNvxFtXFVJV\nYsNuMfD+u1U0ioLDZuSxe1aj02rIsxqIxUnnPimKwo61RTxzsIVT9X3jfp4g0Q9y76lOLrUlqvF/\n4sFNXGz1cOh8N73eEfZsW8b9t1STY5z+v5NGo/AXH9rJv/7fMfq8I5hNelaU53Lb5rL0dY/etQqv\nL8j55gECoSj//RsXR12LM7i6HI2iocw6d/WshLgejV0KD0VD6TY116Iv2VKnPMP/n1I7aAdDvnTd\nq2uRmrnKm+3MVTIoa/ImgytTHubksqA/PIwv5Kd3pJ+1+eq8ve9dN8HVE3v+Nv1xPB5nY20BBkMB\nFzXH2d9xmFA0RDAa5nD3MQC2lK/kdTpo6kqs1foCYX6xt5EXj7ZhUE2Ecvp5runl9E6IDl8XRp2B\nxpwmFFMV3f3Dk4KrUw19AGxaMXlp6P13Z74L+LWKxqIoijK5yWyfK92U83jPqXRVbhhd095efHW9\n6hYSvU7Ln//25FpOuzdMX433xjXFPHOwhTfOd7O+Jp+egQDLi23E43G++8wF6jsS//lXlOeysbaA\njbUFvOu2GgaGgpN6Sk7HbNLzwXsvn7SeazWyM9mWaP/pTi60DODxBcm7QmNwIcTCZtKN/z/uD/sx\naK+thl9/Mq92bBHOTLAnZ64GQ5lJvk8FV/ZZ5lylgqtUP8484+iy4HAkQFNyRitTTddn4roJrsZS\nFIVPPJiov/Fccz8vNL/K3o430sf1Gh2rC6tx5vXT0DHIr/Y38fqpDtye5K6HaCKg+kXDM1M+vzbf\nREu3b1Ky8On6PvQ6TTqp+HoWi8f460P/hEGr56MbH8NuGK1Gn2pu+Sfb/oBQLMxJ9xmaBltp8Dbh\nDQ1yU+kOmRmYYFmRldICMyfr+vib/z5Gm9vH2ioHRr02HVgBbFNH/0pTFGXGgdVs7FpfQn3HIAfO\ndPHWnXPbVFkIkV0T69wNhX2zako+Vl9gAAVl1stt07EnZ66GQr6MPJ8n6MWiM896pm5iC59cox29\nRodeo8MfHk7X1Kta6sHVWHdVvok7l91K42ALCgoGrZ5YPIZJZ2TVsjz2ne7iZ681AHDvrkqqSmz8\nsqEVN92syqvl1oqbCMfClFpKaPN18P3zP0KT48fVkojog6EoP3jxIiaDjja3n/U1+Rinybm5njQP\nttGdrF79uX1/hV6jY7NzI+9ccS/n+y5SaV/GcntiOSmVd3Wk+wTHe06Na1YrEhQlkTP1xJNnaHP7\nsOboOdeU+BnRaRXef/dqzjf3c/PGuetFNdHOtcX88KU6fvxKPeeaB8gxaOkbHCEciXHj2mLu2Vm5\n6JZ2hViqxi4Lwmgj42vRPzJArtGe8ebEtmucuerwdfH1M9/j/Wsepjq3Em9oMJ03NRu5Y4LHKvty\n9Mn7NevMDIeHOdN3AY2ioSp3+XRPkXHXfXAFiZYiU1VSfXTPKm5aV0I0FsduMbA82btvVfW7ONO7\nlu0lW8b9UJVbS/ih62fobAHqGwcJhqIcONfFaycT2zdNBi333Tz/Pddm41RvIrG6NrcKk85E21A7\nh7uPYdDqiBOfctlvW/HmedklsVDdoBbxe+9cj6vVw4O31+ILRIjH45gMOswm3bwGVpBYRty9oZRX\njrenk9x1WgVFUfjpqw1UFtum7R8phFhYJgVX4WsLrqKxKJ6gl+rczM9628cktM/Gke4T9Az38mLL\na7xv7cMEIiNU2WffJ1Y/5n3+ptLRlBCL3kyHvwtG+lmTv2rSJpq5tCCCq+mYDDrWVOVPetxmsLJr\niv5pGkWDM6eQ7lgf0ViMF4+1cfhCYvbnzhsquG1TGRVFC6OO1enec+g1Oj62+UMYtYZ08dR9HYdQ\nUMa1EBEzd4NalF4udtiyP4P5vrtW8eDttSgKBIJRcq0GXM0D/P3/neBUQ58EV0IsEhOXBX3XuOTm\nCXqJE6cgw/lWMLosODjLMV4cqAcS72OJfoqz3ymYYtVb8IX9bB3z3je2V+lsWv1ciwUdXM1GsdmZ\niGT1QX7ySuIbvLG2gEf3rMryyGYuEAnQ6e9mtWNl+j/khoI1OIx5DAQ93Ff71vRfFmJhUxQlvZvQ\nZEj8u3JZHka9ltMN/Ze7VAixgExMaB+6xpmruUpmB8jR5aBTtLNaFhyJBGkeSuRAReJRvnb6e8C1\nB1d/sv0PCEVD40pDmJKzgSatiU3O9df0/FdryQVXqW2j73tHOSP9eXT0+tmzbf6S3DKhM9nMdmxS\nulaj5RNbP5LMLyvO1tDEPNBpNaypdHCirpfP/tcB8qxGPvz2tXOaXC+EmFsTlwX91xhc9aWDq2tL\nip+KoijYDLZZJbQ3epuJxWPcWr4LvVZPKBpGp9Gyu2zHNY1pqiByT+XtFFuc3F15R7o0w3xZcsFV\ncTK40ub4eeuNC3PprNOXqCJfahm/468wZ/ISqVic9myroHtgmM6+YXoGAvxyfxMfeMtqwpEojZ1D\nrKjIRSPJ7kIsGJlOaO9K/hGeiTpUU7EZrHT4u666BU5XciPWiryaOU9fWeWoZZWjdk5fYzpLLrhK\n7aCr9zZxa0WiZ2G7rxOT1sRzLS9zQ9GmrH0zZqrTn2hyKTNUS9eaqnz++nd2Eo3F+H9ff4O9pzpp\nd/vp8QQY9Id412013LurCv9ImG/9+jxef4hoLM421cndO5ZfU4NqIUTmTS7FMPPg6nTvOZ5teomP\nbXocc7Iy+Vy/TxSYHLQMteENDaaX9E73nuNYzykeWf1b45LMx0otJc621c1CseSCqxJzEXaDjYsD\n9cTjcZoGW/nK0f8gTqIlSpO3hT/d8Yksj3J6Dd5mzvZfAKA0g72ixMKk1Wh41221/NdTZ2nsHK3H\n9fTBFm7bXM6rJ9o5fqkXrSbxl2Vz1xD+kQgPvWkFAAfPddEzEECv1XCD6qTIYZ7ydYQQc2vszJVW\n0eIO9OINDpFrvHz+bDwe56unvgPAJU8jqxw15Ohy6PR3Y9Vb0tXUM81pThTbdg/3poOrZ5pepHmw\nlc3O9dPmOKX7CM6yYOhCseSCK0VRWOWo5Uj3CbqGe9jbcTAdWEFiFisQCVxXPc3O9l2gw9dFu6+T\nw93HATBoDeN2Qoila9vqIraqzvQy4LNvtPCjl+v40ncP4/aMYNBr+MeP3UycOJ/72kH2ne7kgVtr\ncHsCfO2pc+nnee5wK3/1OzdiMSUK+f3klXqau4dYvTyP7auLJPASYg6NTWjfXbaD19oP8OXD/8yH\nNryPmtyqaa+r9zalP36++WW+fvp7/NbKd9A30s/KvJo5G68zJxFc9QR6WemoxTsySMtgogfv0e6T\n0wZXozNXi3vT1ZJcG1Adib/a//nYVznSdZwCUz7/9qa/497qPcSJc77/UpZHOKp1qIMnTn6Ln9c/\nzeHu4xTlFGLRmdlRsjXbQxPXkbH5VXu2V/CWG5enOxbsXFuM2aTDYtKzY00xQ8NhPvXv+9KB1X03\nV7Nn2zK8/hDffeYC0ViMth4fTx9s5mxjPz99tYEvfucIXl8wK/cmxFKQWhY0aA08tOp+3rniXobC\nfr5x+vuXvW5se7PGwRbixPnxpV8AzGknjqL0zFUfw+FhXm8+lJ6oON13nlA0NOV13uAgJq0Jw4Rl\n0MVmyc1cAWwp2sDFgXrqvU34wn7etOxmNIqG9QVr+HXj85xyn2Vr0cb0+bF4jH89/jWKzU7es/pd\nGR1LPB7HHejDmVMwLimwe9hNoSmffcm2P+9ccS8r82oot5aiVbTjZtuEGEur0fDQm1Zw66YyTtb1\nctP60V+wN60v4cWjbfgCYXyBMAB3bV+GXqehsWuQIy437u8eTf98ffDeNXQPBPjV/iZ+8mr9FXsj\nCiFmR6fRoVO0mHU5KIrCm5ffxqWBes70XWA4HJh2t5s70DfucwUFo9bASDQ4p3m5qZmr51te4fmW\nV9KPr8yr4ZKnge7hXpbZyiZd5w0NLvpZK1iiwVWOLoffXvceINF9XK9JLIMss5VTmFPACfcZBkY8\nHOk+kexFpHDJ08AlTwMPq++c1Cj5WlwYuMS/n/gGNxRt4k3LbmEg6KHR28xLra9zc/lOjnSdIM+Y\ny5sqbkarGS1qqSA7wcTlleSbKdkxvt1DdamdTz+8mb7BEb7zzAVuXFucrqP1yQc38c1fn+f4JTfx\nOFSV2LhpfQnxOJy45Gb/mS4euLUWh02aSAsxF/KMudjHBB4FyR3gfSP9mPXlU17TG+jHoDWkZ4ry\njLn89rr38Hzzy2wonLs/huxjcrkcxjy2L9tIsb6EgREvlzwNUxZBjcQi+MPDlFkWf2/bJRlcjTV2\nalJRFHaWbONXjb/hLw58mWg8ilmXM269uy8wgNOcuarY6TXqnpMc7Tk57tje9oMA3LH8lnGBlRDX\nYl114hf22ioHtpzRn/8co47ff2ADvkCY4ZEw+XYTiqKgKHDH1gq+9xsX+890cu+uqiyNXIjF7WOb\nP4RuzO/6AlMyuAr0s8xWzq8bnmNfxyFWOmrwhfyYdEZ6ht0ss5UzMOJhKOyjyFzIirzqKVvGZdLY\nlZYHVr6Nu9ftxu0eSr9vDYUnB1dLZacgSHA1yY2lW3m2+UV0io61jlWc7j3Pmb7z6eOtvvaMBlep\nQm8r82pYZisn3+RAq2hoHepgf+chjFoDt1fsztjrCZFSmDv1MoM1R481Z3x3+h1rivjBi5fYe7pL\nGkYLMUdSeUwpqZmr3pFEN4ZjPafwhgY50n1i3HmpGodDYR/OnPlrifW+NQ/R6G1m85jk9cs1dfYG\nE48thQ4iElxNkG9y8Gc7PoVFb8akNfKdcz8gGotSnVvJz+ufpnWofVw+1rXqCyT+03x00+Pj6pz0\nBQY41nOKPZW3YdHLLi2RXWaTno21BRx1uenqH6a0YP4aoAqxVI3OXA0Qi8foHemn1FLMhzd8gDZf\nB988k0h2L8wpIBqP0TLUli6RMB92lm5jZ+m2cY+lSj9MVQR1MJQswyAzV0vT2L8ePrj+vQD4w8P8\nvP5p6jyNxOKxGeddDYeHaR5qY7Vj5ZR/7fcG+rAbbJMKyBXkOPj7W78guVXiurGhJhFc7T3VyaYV\nhaxalvm2GkKIUammy6+176fe20gkFqHCWkaRuRCrfvQPnEJTfjrnKpVoni02fSK4mqo1Tmoy4Vr7\nCC4ES7IUw2xY9GZqcitp8Dbxj0ef4HzfRWLxGPH45XftPVn3NP9+4hu80rZv0rFoLEp/0DNt2xqN\nopHlF3HdWFuV+EX/zBst/N3/HKO7fzjLIxJicRu7Q7Dd1wlASbJ49NhjdqONnaXb2V68JV1qKFts\nhkTQN1XOVb23GYAq+/JJxxYbCa6uwkc3Ps7Woo00Drbw7ye/wR++8jn+vyP/RjweZ2DEQ/Ng67jz\n4/E4+zsPAfDz+qfxBL3jjg8EPcTiMQpM87dGLsRsTczRevFYW5ZGIsTSMXGWp8Q82pnj7so7UFCo\nsi9nma2M3173nnHFSLPBqDWi1+gYmpBzFY/HqfM0kGfMTc/ILWayLHgVzPocPrj+vdw11M7zza9w\ntOckLUNtvNDyKr9pfomRSJCHVt2P3WBlMDRE97A7fW0kFqHO08i24s0MhwLsbT+YXvJzSsNlsUB8\n/IENXGzzcOBsN3tPJXYO5loWdzFAIbLp9zd/iL5AP/956tsAFI9pe/b2mrt5W81dGS0PdK0URcFm\nsDE0Ieeqe7gHX9jPtuLNS2JFRoKrWVhmK+fx9Y+yvXcLXz31HX5e/zQ6RYteo+OHF5+cdP7ushvZ\n1/EGbUMd3FC0iX8/9F2OtI+WXajKrZzP4Qsxa1tWOdmyykmB3cT/vnCJ7z5zgY+/a8OS+GUpRDaU\nWooptRSz3FaRSFgfsxtQUZTrMi/XprfS7u8kHo+nfzdcHGgAYMUctuS5nkhwdQ1W569Kf3z/inup\nza3iZO9ZLHozdr2VpqFWOn3dvLXqTvZ1vEHrUDuvtx9MB1abnOvZXryFdQVqtm5BiFm544YKjl/q\n5URdL6+f6uTWTZMrMQshMueTWz9CKBZGp7n+37ZtBguRoQgj0SA5yR64qZJGa8a8by5m1/936Tqm\n1+h4cNV9dPl7uK3iJjSKhuX2ivTxbSVb0h8XmPKp9zZx0VOPzWjlM1s/TkHO4l93FouTRlH44L1r\n+Pw3D/G9Z10cPNvFjWuLee1kJ2/fXcXmFdndsSTEYmPQGhZMPz6rIbVjcIgcnYlgNIRroI4yS8m0\nG7gWm+tnoXaBur1iN++eQUucZbYywrEwGhQ+s/sjEliJBS/fbuL37l9PRZGFCy0evvusi8bOQf71\nJ6do6BjM9vCEEFmSSljvGe6lL9DPU/XPEIlF5rQdz/VGgqt5stJRi4LCo2seZLWzNtvDESIj1lXn\n8+cf2E5tWaIo4IaaRD7IwbNd486Lx+N09fmvWLpECLHwpXoHPtP0In9+4O94pW0fOToTN5ZszfLI\n5o8sC86T28pvYlvRZqwGqWwtFheNRuEPH9xEQ4eXtVX5fPLf9nLE1cNDd6xAp9UQj8f57rMXeO1k\nJx+5bx071hRne8hCiDlUZk0EV02DLQC8W32AbcWbyNFN3XJrMZLgap4oiiKBlVi0rDl6NtYm8qy2\nrHSy93QnH/77VzAZtGg1Cv6RCAAdvZNbYgghFpfCnAI0ioZYPEaxuYhbyndme0jzToIrIURG3bOr\nklAkyqA/hC8QIRyJkmcz0u72MxyMZHt4Qog5lgqsAFbkVWd5NNkhwZUQIqNK8s185L714x7r847w\nmf/cjy8QztKohBDzKddgxxsapNxamu2hZIUEV0KIOWc16wEYGpbgSoil4KObHmN/xyFuKt2e7aFk\nhQRXQog5Z9RrMRq0+CS4EmJJWGYr52H1ndkeRtZIKQYhxLywWwz4AqFsD0MIIeacBFdCiHlhtxhk\nWVAIsSRccVlQVVUN8ASwCQgCH3K5XHVjjr8P+AzgBb7jcrm+mXz8GJAq09zocrkey/DYhRALSK7F\nSH3ESzAcxajXZns4QggxZ2aSc3U/YHK5XLtUVd0JfAW4D0BV1ULgS8BWwAO8oKrqi0AXoLhcrtvn\nZNRCiAXHbkn0RfMNhzHmSnAlhFi8ZrIseDPwLIDL5ToIbBtzrAY46XK5+l0uVww4DOwkMctlVlX1\nOVVVX0oGZUKIJcxuTQRXQzPIu/L6Q4QjsbkekhBCzImZzFzZSSz5pURVVdW5XK4IcAlYp6pqMTAE\n3AlcBIaBfwC+AawEnlFVVU1eMyWHw4xOt3T+mnU6bdkeQtbIvS9NqZkrrV6PxWbC7QlQ4bSi1Sb+\nxovH4zz5Sj0vHG6htXuIG9eV8Pjb15Fj0uGwmbI59Gu2lL/vS/Hel+I9w9K976nMJLgaBMZ+xTSp\nIMnlcg2oqvpJ4KdAH3AM6CURYNW5XK44cFFV1T6gFGid7kUGBoZndwcLkNNpw+0eyvYwskLufWne\nO4DdYgTgL75+IP3Yu26r4d5dVQC4Wgb49q/OYtBpsFsMvHG2izfOdrGm0sFn3rMlG0POiKX8fV+K\n974U7xmW5n1fLpicybLgPuAegOTy3unUAVVVdSTyrW4BHgJWJ89/nERuFqqqlpGY/eqc1eiFEItC\nkWO0aeuaSgcaRWHvqU7+/Jtv8MKRVl472QHAJx/axO++Y1363PPNA8Tj8XkfrxBCzNZMZq6eBPao\nqrofUIDHVFV9BLC6XK6vqaoKiRmrEeArLperV1XVbwLfUVV1LxAHHr/ckqAQYvHbqhbx+w9soLbM\nTq7VyF9/7wj1HYkNxf/7wiW0GoXifDOrluUB8O47V/LTV+sJR2J89RdnWV5sTc9yCSHE9eyKwVUy\nUf0jEx6+MOb4F4EvTrgmBDySiQEKIRYHRVHYusqZ/nx1pSMdXEGiRc577lyJoigA3LV9GYFghF/s\nbeTwhR4OX+jhnp2V6eNCCHG9kvY3QoisWLUsj18faKas0MKfve8GDHoNWs34TIXyQsu4z73+EHlW\n43wOUwghrpoEV0KIrFhfnc/vvG0ta6vzyTFO/auo3Dk+uGpz+yS4EkJc96T9jRAiKxRFYdf6EnKT\nJRqmMjYJHqCtxw9AR6+fA2e66PEE5nSMQggxGzJzJYS4bmk1Gj7zni14/UG+9tQ5LrZ60GkVfvRy\nPZFoDItJxz99/GZ02sz9nRiLx/n5641sU50sL5a6PUKIqyczV0KI69qaSgc7Vhej12k4UdfL/75w\nCY0GLCYd/pEIzd2Zra3T3DXEr/Y38YVvHyYSlSrxQoirJzNXQojrnkaj8MCtNTR3DVFTZmfjikKa\nOgf56i/O4mrxUFuWm7HX8vpH2/O8eqKDO2+oAKDXE8Bs0mM2ya9NIcTlyW8JIcSCcPeO5eM+N+oS\nE+8XWga4Z2dlxl5ncIrganA4xB9/9QCrKnL57HtvyNhrCSEWJ1kWFEIsSLlWI6UFZi62evAFwhl7\n3tTMlU6r0Ob20dHr55jLDcDFNq9UixdCXJEEV0KIBeuWjWWEwjF+tb8pI893sq6Xnv5En9M3b1sG\nwLefOc+LR9vS53h8oSmvFUKIFAmuhBAL1p03VFCYa+KlY22MhGbeYSsej9PR6x83C1Xf7uVffnKK\nfWe6ALh9cxkrKnKpbx+kvdefPq+5a+oE+uGRMEPDEngJISS4EkIsYHqdhu2ri4hE49S3D175gqQ3\nznXz/77xBi8da08/1jEmgFKAglwTn3vvDfzt7+7kA29Rec+dKwFo6pr8OrF4nD96Yj+f/+ah2d+M\nEGLRkOBKCLGgrUw2er7Y6pnxNXtPdwLw45fr0o+NLUhqM+vTrXiKHWZu21zOjrXFADRNMXN1sq6X\nkVCUQX+IQZm9EmLJk+BKCLGgrazIRQEutSWCq5FQZNyOv6n0DCQCqVAkRrvbB4B7THBl0GsnXZNr\nMVCYa+JSm5dYbHQ5MRKN8dS+pvTnnWNmwIQQS5OUYhBCLGgWk55yp4ULLR4+8g+vEI7G0Gs1/O3v\n7iLPaiAYjmIyjP6q6/UE6PWOpD8/6nJT7rTi9ow+NjTN7sPVlQ72nuqktceHJUfHqfo+TtT1jsvD\n6uwbRl3umIM7FUIsFDJzJYRY8N52UxWrKnIpK7QQjydmpE7W9fLTVxv4vX98jb5kMBWJxnjy9QYA\n7ru5GgU41zwAjJ+5CoaiU77OmmTQtP9MF1/41mG+/9xFzjT0U1Vi44/evRlIBFdCiKVNZq6EEAve\njjXF7FiTyInq8QT47FcPcLKul5P1fQDUd3gpyDVx4GwXB852U1liY8+2Ck7W9VLf7mVgKIgvEMZk\n0DISirJjTdGUr6MuT+R3PX+kFYB7d1Vy45piygotjCQDss4+WRYUYqmT4EoIsagU5eVQWmBOB1YA\n/pFEmYbO3sSs0qN7VmE26VlblU9T1xD/9KOTANy0voRbNpZRUmCe8rnz7Sbu2r6MA2e7WFWRxwO3\n1qAoCgBmk45cq4FWt49wJIZeJwsDQixV8r9fCLHo3LyhdNznA0NBAPqHEsuDBXYTADeoTrSaRCV2\ng07D+uoCKktsGKdIaE95950r+Zc/uIWPPbAhHVilbKotwOsL8Z1nzmfydoQQC4zMXAkhFp233Lic\nyhIbZxr6efZQC55kcNU3OIJWo5BrMQBQXWrniU/dCijotMqkYOlqPfLmVTR0DHHgbHd6dkwIsfTI\nzJUQYtFRFIW1Vfncd0s1AAO+5MzVYJA8qxGNZjSI0uu06HWaaw6sIFHCYX11PgBtbsm9EmKpkuBK\nCLFoGfVazEYdnqEg0VgMjy9Igd04p69ZUWQBoC1ZP0sIsfRIcCWEWNQcNiP9Q0E8QyHi8URS+lyq\ncFoBaOsZDa46+/y8eqJ9XC/DmWrsHOSPntjHD1+6NK54qRDi+iU5V0KIRc1hM9Le60+XSJjr4Kq0\nwIJGUcYtC/745XpO1PWyvNhGdan9stf3egKcax6go9fP7g2l/OtPTuH1h/jNoVZyLUbecuPyFimH\n2wAAIABJREFUOR2/EOLaSXAlhFjU8myJZcCXjyeaNOfP8bKgXqehtMBMc/cQzx1q4b43rcTVmihU\neq6p/7LB1YXmAb7ywxNEkzNUJ+p68fpD7FxXzMGz3VM2jc60WDxOr3eEorycOX8tIRYrWRYUQixq\npcmaVccv9QJQnD91DatMSs0u/d9Ldbzn888QCCYKjJ5rGrjsda+caCcai3PfzYlE/FQPxN3rS1GU\n0ZISKeFIlL/576P8+JW6Sc81W0++1sBnv3qAC82XH6sQYnoycyWEWNT2bFvGsiIrI8EoOp2GNZVz\n3/dv94ZSNq0o5Jf7mtLV3AEutXkJhaNTNoYOhqKcqOul2JHDO3ZXceBMFz3JljzVpTbyrMZJwdUr\nxzuoa/fS2DnIXduXp0tMzEYsFsc3EubXB5qTY/Wweh6+VkIsRhJcCSEWNZ02URx0vllz9Dx85wqO\n1/XS6wlwwyonRy+6aXP7KcnP4dcHm7nY6uGWjWX84MVL7F5fQigcY8eaYhRFobLERo8ngDPPhNmk\nx2Ez0tw1RCweR6MoBENRfn2gCYBoLM7Lx9q47+ZqGjoHOeZyU+G0smt9yRXHGYvFOXC2i1/tbxrX\n0HpsuQohxNWR4EoIIeaIRlH49z96Exfq3dS1ezl60c2BM10cPNeVbslT357Io3rpWDsKsHtDIiCq\nKrFx+EIPlcU2IJGY39AxiG84jN1i4MVjbQwOh7lr+zL2ne7kl/ub2He6k77BxOxWjlHLznXF09bv\nGhoO0eMJcKquj1/ub0JRYOxmRo8vNEdfFSEWP8m5EkKIOWTJ0bO82JbO9XrxWBv+kQj37qpEMyHw\n2byykCJH4rzUklzqX0cyMX9gKEg4EuWZg81YTDresbuKTz28GVuOHv9IhF3riqkttxMIRnGPmYma\n6Ou/PMdff+8ovznUQo5Rx5c/smvcca8vOM2VQogrkZkrIYSYByWO0UT6HKOOd95aQ0PHIOebB6gs\nseEPhHnbTVXpc6pL7Xz5I7vSfRDzbYl/+4dGCEdj+Eci3LG1HLNJT3Wpni9/9CY0ioJep+GZg83U\ntw/S0jU07a6/M439AIQiMW5aXURhbg6P37OG7/3mApFoHI9fZq6EmC0JroQQYh447Eb0Og3hSIyq\nEhsaReGWjaVcbPXw/rvVKUs0OMcERmNnrlK5UTVlo9eMbTa9PLmU2NIzxLbVRZOed2Ji/DY1cc7N\nG0u5aUMJn/6PfTJzJcQ1kOBKCCHmgUZRKHbk0Ob2pwOpnetK2LrKOeXuwYlSwVVn3zDDI2GAaWtm\nLS9OVIlv6Z66BU99uxeAjbUFlOSbWV+TP26ceRYjnX1+4vF4RnouCrHUSHAlhBDzpDjfTJvbT1WJ\nLf3YTAIrgHKnhRyjjhePtmHQa8gxaqet2WUzG9K7C//nuYv0eAJ88qFN6eN1yeDqrTcuR10+udxC\nrtVAc/cQgWAUs0neJoS4WpLQLoQQ8+SGVU7KCy2zqh9lMen500e34swzEQrHqCqxT0qIH6u2zI7X\nH+KVE+2cbuhjcHg0h+pCywA6rULVNDNfedZEvSyvX5YGhZgNCa6EEGKe7FxXwpc+dCPWHP2srq8o\nsvL5D2zn9i3l3LOz8rLnrijPBUi30mlPNpL2+kO0dPtYWZE3Lk9rrFxLYglSyjEIMTtXnO9VVVUD\nPAFsAoLAh1wuV92Y4+8DPgN4ge+4XK5vXukaIYQQs2PN0fP+u9UrnldbkTvu81a3nzVV+ZxL7hIc\nm2c1UXF+IpG+uWtoXiraC7HYzGTm6n7A5HK5dgGfBb6SOqCqaiHwJeB24DbgUVVVqy53jRBCiLlX\nWWxDrxv9Fd/mTsxcHXH1AFy2av366gIU4GRd75yOUYjFaibB1c3AswAul+sgsG3MsRrgpMvl6ne5\nXDHgMLDzCtcIIYSYYzqtht3rS9hUW4BOq6GuzcszbzRz/FIvNWV2KpyWaa+1WwzUlNm51ObFn9yZ\nKISYuZlsA7GTWPJLiaqqqnO5XBHgErBOVdViYAi4E7h4hWum5HCY0elmtmtmMXA6bVc+aZGSe1+6\nlur9Z+u+P/2+7QB88p9fpa7Vw49frkejUfjDd2+lqGjqZPaUXZvKqO+4QEvvMLduqZj1GJbi93wp\n3jMs3fueykyCq0Fg7FdMkwqSXC7XgKqqnwR+CvQBx4Dey10znYGB4asZ94LmdNpwu4eyPYyskHtf\nmvcOS/f+r4f7fu+bV3KuaQCzSUdNqR2bQXPFMa1Ilot4/Xgbaybkb83U9XDv820p3jMszfu+XDA5\nk+BqH/B24Eeqqu4ETqcOqKqqA7YCtwAG4Hngc8nnnfIaIYQQ82t5sS1dtX2mlhVZcdiMnK7vIxqL\nodXI5nIhZmomwdWTwB5VVfcDCvCYqqqPAFaXy/U1VVUhMWM1AnzF5XL1qqo66Zq5Gb4QQoi5oCgK\nm1YU8srxdr7+y3MsK7LS2TfM23dXUeyYunipECLhisFVMlH9IxMevjDm+BeBL87gGiGEEAvI7g0l\nvHGum0Pnezh0PrHL0KjX8r4ZlIIQYimTvgZCCCGmVFuWy7/94S109Ppp6/XxtafO8fLxdk7U9bKu\nOp+H71iBxTS7gqhCLGYSXAkhhJiWRqNQUWSlosjK8Yu9HL7Qw8BQkL2nOjlV38eK8lwUBe7YWiEF\nR4VIkgxFIYQQM7KuOlHVPd9u5F231RAIRjh20c1Rl5v//PkZfnOohfZksVIhljKZuRJCCDEjN60v\nYWg4xE3rS3HYjNy1fRnBcIynDzbz7Bst/PClOk4sy+NPHt2a7aEKkVUycyWEEGJGdFoN9+6qwmFL\nNHbW67RYc/S8/aaqdK9CV6uHUDiazWEKkXUSXAkhhLgmOUYdn3poM3fvWAZAXbv3ClcIsbhJcCWE\nECIjUgnt55sHsjwSIbJLgishhBAZsbIiD51W4WRdX7aHIkRWSXAlhBAiI3KMOtZV5dPm9tHZ58/2\ncITIGgmuhBBCZMz2NUUAHLnQk+WRCJE9ElwJIYTImM0rnOi0CocvuLM9FCGyRoIrIYQQGWM26Vhf\nXUCb20dr91C2hyNEVkhwJYQQIqO2r04sDe471ZHlkQiRHRJcCSGEyKjNKwvR6zT8am8DXl8w28MR\nYt5JcCWEECKjcow63nVbLV5fiG/8+jyxeDzbQxJiXklwJYQQIuP2bKtg25pizjb289yh1mwPR4h5\nJcGVEEKIjFMUhT98eAt2i4GfvlpPU9dgtockxLyR4EoIIcScyLMZ+Z23rSUai/Ptpy8Ql+VBsURI\ncCWEEGLOrKvOZ5vqpLXHR2OnlGYQS4MEV0IIIebULZvKANgrpRnEEiHBlRBCiDm1riofh83IG+d7\niERj2R6OEHNOgishhBBzSqNR2L66iEAwwtnG/mwPR4g5p8v2AIQQQix+21cX8dzhVg5f6EGn1fDK\niXbq2r0Y9Vr+6N2bKczNyfYQhcgYmbkSQggx52rK7BTYjRy/1Ms3fnWOoy43sVicnoEA//jDk0Rj\nslwoFg8JroQQQsw5RVG4QU0sDXr9IXZvKOGfP34zO9cV09U/TJPsJBSLiARXQggh5sX2NUWjH68u\nSgRcq5wAnG7oYyQUydbQhMgoCa6EEELMi5pSO848ExaTjjWV+QCsqXQA8NS+Jv7oP/YTDEWzOUQh\nMkIS2oUQQswLRVH41MObiURi6HWJv+3NJj0VTittbh/DwQhub4AKpzXLIxXi2sjMlRBCiHlT7DBT\nPiF4euye1eRaDAB4hoLZGJYQGSXBlRBCiKyqLrXzwK01AAxIcCUWAQmuhBBCZF2ezQiAxyfBlVj4\nJLgSQgiRdQ5rIrga8IWyPBIhrp0EV0IIIbIuPXMly4JiEZDgSgghRNZZTDr0Oo3kXIlF4YqlGFRV\n1QBPAJuAIPAhl8tVN+b4o8CngSjwLZfL9Z/Jx48Bg8nTGl0u12MZHrsQQohFQlEUHFYjA5JzJRaB\nmdS5uh8wuVyuXaqq7gS+Atw35vg/AOsAH3BOVdX/AwKA4nK5bs/weIUQQixSeVYDl9q8RKIxdFpZ\nWBEL10x+em8GngVwuVwHgW0Tjp8CcgEToABxErNcZlVVn1NV9aVkUCaEEEJMK99uIg70D45keyhC\nXJOZzFzZAe+Yz6OqqupcLleqCdQZ4CjgB37mcrk8qqoOk5jR+gawEnhGVVV1zDWTOBxmdDrtrG5i\nIXI6bdkeQtbIvS9dS/X+l+p9w9Xd+7oVTg6e66Z7MMS6VcX0egLsO9VBudPKfz15ir/56M04HTlz\nONrMWKrf76V631OZSXA1CIz9imlSQZKqqhuBe4FqEsuC31dV9UHgKaDO5XLFgYuqqvYBpUDrdC8y\nMDA8uztYgJxOG2730uwAL/e+NO8dlu79L9X7hqu/9zKHCYCj57rYUJnH1395lgNnu9PHnzvQyF3b\nl2V8nJm0VL/fS/G+LxdMzmRZcB9wD0Byee/0mGNeEvlVAZfLFQV6AAfwOIncLFRVLSMx+9U5i7EL\nIYRYIpYXWzEatFxq8xCORDl+qXfccZNh6axuiIVtJjNXTwJ7VFXdTyKn6jFVVR8BrC6X62uqqv4X\nsFdV1RBQD3wned13VFXdSyIH6/HLLQkKIYQQWo2GFWV2zjYN8FffO8pIKDruuH8knKWRCXF1rhhc\nuVyuGPCRCQ9fGHP8q8BXp7j0kWsbmhBCiKXmLTdW4vWHaOvxoShQW5ZLXXsi7Xd4RP5GFwvDTGau\nhBBCiHmxrjqfv/zgjfhHwvgDYfQ6LT99tZ79Z7rwS3AlFggpJCKEEOK6YzHpKXKYcdiM/NbttQAM\ny7KgWCAkuBJCCHFds5gSiyz+gARXYmGQZUEhhBDXNb1Oi16nuaplwUg0xn/87DQ3rivGMxSiutSG\nutwxh6MUYpQEV0IIIa57FpPuqhLaO/uGOVnfx4AvSEu3j3VVDgmuxLyR4EoIIcR1z2LS47mKps59\nyRY6rd0+ADy+0JyMS8yO2xPg6788x0goil6n8MieVdSW5WZ7WBkjOVdCCCGue+bkzFUsHp/R+an+\nhKmzryYwE3PvmYPN1LV7cXsCNHYOcfSCO9tDyigJroQQQlz3LCY9cWAkOLOlwb4JzZ/9IxFC4eik\n8+LxOPEJAVtbj4+DZ7tmHMiJq+MLhNl/povCXBN//Ts3AtDrDWR5VJkly4JCCCGue+kdgyMRzCb9\nFc/v845MeszjD1GUN77x87/+5BQeX4h33FzFsYtuLCY9Zxr76ej1c7K+jw+/fS2KotDm9tHnHWHT\nisLM3NASduh8N6FIjDu2VpBnM6LTauid4vu1kElwJYQQ4rqXCqjGJrUHw1F+sTfRzDnPahx3fv/g\n5GVAz1BwXHDlC4Q5Wd8HwL/99PSk8984140tR09n/zBnG/sB+PwHtlFdar/2G1rCTtYlvubbVjvR\nKAoFuaZJM43ZEonGuNjqYdWyPHTa2S/uybKgEEKI615q5so3ppDobw618OwbLfzHzyYHRlO9WU/M\nu3K1DABgNGi5fUs5999cnT725m0VALxwtI2zjf0UOxJB2an6PoZHwhx1uSctJ4orC4ainG8eoMJp\noTA38TUttBsZGg4TDE1etp0PsXicunYvXn+If/rRSf7h/07w5OsN1/ScMnMlhBDiumc1J2auhoZH\nd/2lZrEaOgfHnRuJxvD4ghgN2nFv2BN3DJ5vTgRXn3poEysr8ghHYjx/pBX/SIQ7t1ZQ7DBz+EIP\n77ylmmVFVv7gX/Zyoq6XZ99oIRiO8rn33sCKisWzwy1Tej0BTjf2c/vmMhRFGXfsfMsAkWhs3PJq\nQW4OMEDv4AjlhZZ5Hi388MU6nj/SilajEI3FUYBXjrfztl1V5BhnFyZJcCWEEOK6l1r28wyNBkiR\naAyAiRNIrT0+4nFYvSyPCy0enHk5tLl96ZmrYDiKPxDmRF0vRr02vcyn12l4z5tX0tk3THG+meJ8\nM3feUJF+3ppyO3Vt3vTnbk9AgqspfOVHJ+nuH8ZuNnCD6hx3rLPPD0DNmKXVwlwTAH3ewLwHV+eb\nB3j+SCvWHD2BYIR7d1Vi0Gl48vVGDp7r5k1bymf1vBJcCSGEuO45bMngaszS3ti8qr/63hHedVst\n6vI8fvhSHQB33FDBo3tWEQxH+fw3D+H2BAgEI/z5Nw+llw3v2Vk5LrfmpvWl047htk1l9HlHiMfj\neHwhPH4p7zCV7v5hAFp7hiYFV/3exNesIBlQjf14rpLan3mjmReOtPHFx3dgzRm/GeJMYyL/68Pv\nWMuaSgdajYbGzkGefL0xfR+zIcGVEEKI61565mpscDU0+mbc0DHID164iDMvh4utHrasLGRDTQGQ\nmOGymfUcdblp6BhkYCjxHHu2LeOB22pmPIbdG0rZvaGUxs5BvvTdI3ilMOmUTAYtI6EoPQOTyyuk\ngtp8+5jgKvnxXCS1hyMxfvxyPQBnGvrYua5k3PHWnkSR2epSO1pNIsjOtRgA8Ppn//2V4EoIIcR1\nz27RoyiJHX8pE3cEtrn9tLn9rF6ex+P3rkk/rtNq+Mx7tvCjl+s409BPYa6Jv/rQjRj02lmNZapA\nT4wy6DSMhKI0dg1NOtY/OIJBr0lvUADIs01e8s2Ep/Y18vPXG9Ofu1o96eCq1xvgxaNtXGr1km83\nYhlT3sOeCq6u4fsrwZUQQojrnlajwW4xpJPSg+EovkCY0gIzGkXhlo2lPH2wma2rnDyyZ9WkbfQV\nTiufemgzjZ2D5FoMsw6sIBnoMT7QEwnRWIyh4cSOzu7+YYZHIpjHBFL9Q0EK7KZxie556Zmi2X89\nf/DCJdrcPj798GY0msRzn28aGHfOqyc6qHBauX1LGT944RLHL/UCsHp53rjzdFoN1hy9zFwJIYRY\n/PKsRjp6/cTj8XR7m9ryXB6/JzFLtWf7skm70ybKRI2qiYGeGDXoDzN2f0Fdu4eNtYmdgcFQIiCu\nLLGNu8ag12I26q7p6/n8kVYAjl10s211EQCBYAQF+Pvfu4nv/cbFqfo+/uf5i0SiMXo8o0uWJQXm\nSc+XazVMWSttpqTOlRBCiAXBYTUSjsQYDkboT84aFYzJ3blSYJVJeVYjHl9Qal1NkFoqrUoGUCeS\nBUNhNEcu32acdF2ezTjrZbhwZLTcxrOHWtIfDw6HKMwzkW838babqthYm8jB+/neRrr6RpPVK4vH\nB3uQyLsKBKdumfT6yQ5auicveY4lwZUQQogFYTQ3J5h+c3TmmS53ydyNxWogFIkRCGan8OX14IUj\nrTzx5Ol0SQwYXSrdtroIi0nHybredACaSlgfGxCn5FkN0/Z/vJKxuwwbOgYJhqLE43GGhsPYzIkl\nxxXluXziwU184C0qwVCUaCzO7ZvL+PgDG9ixtnjSc+ZaEj9rE5cGPb4g337mAl/49uHLjkmCKyGE\nEAtCnjXxRtk/FKQ5mSw91azDvIwlGeh1D8x+u/5C978vXOKIy81zh1uJJgOsgeTsU77dyIbaAgaG\ngvzld4/w7Bst6d2D+VMEV9MFMzPh9ozflej2JkpuRGNx7MngKuWWTWVUlyZ+ZlZXOtiyKtGCZ9J4\nkj9r//0bF//7/MV0fS5/IDzp3KlIzpUQQogFoaokkS/13OFWvL4QBp1mynyZ+ZBa2vrSd4+wqbaA\nbauL0Os03G7NzkzafAtHRmerfvJKPT97tZ6KIiurlzuAxBLuO2+pYcgf4kKLh+auoXS189ryyXlv\nebZEMOPxBXFOaK59JW5PYuZqebGVlm4fbk8gvaHBZh5f10qjKHz4Het47WQHW1ZO34Q7lWR/prGf\nM4399HgCfOLBTfgkuBJCCLGYbKjJZ31NPmcaEk2Ua8tGaxPNt1s3lzMcjHC+eYCT9X3pBtDff+4i\nf/LIFsqd1qyMa76kCmyWFpipcFrp7B9OBzYAhbk5FOSa+PS7t9DVP8znvnaQQDBCYa6JkvzJAXFe\nauZqFkntqddcW5WfHMNIuliobcLMFUCxw8yDt6+47HPaLKPX6bQKpxv66B8cwT+mcfjlyLKgEEKI\nBUFRFN53l4pBl3jrWl6SnSVBSCQ8P3zHSr7w2A7+8oM7ePcdK7hjazm+QJhD53uyNq750tabKL55\n+5ZyPnr/ev70A9sBCASjrKzIHVeBvSTfnG4TtLG2YMqNB6ll1oFZJLWPBleO9OeD/sQMk33CzNVM\npfLCqkttvPculXgc9p3unPHMlQRXQgghFgxnXg7335Koqr6qIu8KZ8+PCqeVu3Ys595dVQB09Pqz\nO6B50O5O3GNFshfg8hI7FcnZutun6Md3x5ZyFGDHmsnJ45BYRgTo9Vx9lXa3ZwSjYbRHpNsTSDf4\nHjsDdTVWVuTyyYc28cePbGVbsoXPhRYP/hFZFhRCCLEI3b1jGeuq8yl3zm+T3yvJsxqw5OhpX0LB\n1djlz9+6vYYjLjfb1KJJ5+9cV8LG2sJxBUXHWlZsRa/TcK6p/6rH4guEsJv1WEx6LCbduOBqYkL7\nTCmKkm6fhF5LaYGZpq7BdI2uy+VrgcxcCSGEWGAURWFZkXXKXV7ZpCgKy4ttdA8Mj6u9tBi5PQFy\njLp0qxiAjbWFPH7PGvS6qUOL6QIrAKNey5pKB+29fv70awc5dtE9o3HE43F8gUg6x6owL4eegQBH\nXYnrJya0z1Z1qZ1AMEp9uxeA37q99rLnS3AlhBBCZMjyEhvxOHT2Le4SDf1DQfLtk4uBXovUTFF3\n/zDPHGye0TWhcIxINIYlGVzdu7MSnU5DS7Ih81QJ7bNRU5ZYcqxvHwRIv950ZFlQCCGEyJBUkn1H\nr5/lWarBNdcCwQiBYASH7dpbCY21dZWTX+xtxBcI45vhrrxUgnlq5mrb6iLU5Xk8d7iVUDiWro12\nrVL5XLFkQVTLZWbhQGauhBBCiIxZlazzdHYWuUMLxUCyCnu+LbM1vRw2I//yBzezoiIX90BgXC2t\n6aSCK4tpdCbJZjbwrttqec+bV2asJdKyImu6dlaOUXfFEiASXAkhhBAZsmqZA4fNyLGLvePawiwm\n6R6BGV4WhETeWlmBhVg8PqPq96nde9YrLNNdK51WQ2WxNflaV170k+BKCCGEyBCNRmH76iICwQhn\nGhfn7FX/YGLmyjFFA+ZMKEuWd5hJSYuJy4JzqTqZdzV2lmw6ElwJIYQQGZRKzG7qHMzaGFLNkudC\nellwih6BmVBWmKjgftTlprXHd9l7SfX6s8xgNula1STzrmYSyElwJYQQQmRQKol6cHhmBSczKR6P\n89TeRj72T6+lm1tnWv9gcllwjmaulhfb0Gk1HL7Qw1986xDffvrCuOPtbh/1Hd5kGYbkzNUMZpOu\nVW15Lgozm7GT3YJCCCFEBqWqgg/5r75P3rWIRGN871kXe093AnC6oS9d9DKT5iqhPcVuNvB3v7uT\ns039PH+4lb2nO9myspAtq5yMhCL8zfePEghGKcrLIZSsJ3al0giZ4MzL4Y8f2ULxFL0RJ7picKWq\nqgZ4AtgEBIEPuVyuujHHHwU+DUSBb7lcrv+80jVCCCHEYmXN0aMo4B3OXHD11N5GLrV7+eRDm6Yt\nnvrK8Xb2nu6k3Gmh3e2ncY6WJbsHhrGZ9RgN2jl5fkgsOd6ysYzaslz+3zfe4IWjbWxZ5eSoy00g\nGKXcaaFnzI7C+ci5AlCTu0GvZCbLgvcDJpfLtQv4LPCVCcf/AXgzsBv4tKqqjhlcI4QQQixKGkXB\nZjZkZOaqpXuIIxd6+PneRs429uMeCEx7bn1HIpj6+AMbyLUaaJqDZcFAMILbM8KyIuuVT86AskIL\nBXYjnX2J5PZ9yVm5jz+wgTtvqEifN1/B1UzNJLi6GXgWwOVyHQS2TTh+CsgFTIACxGdwjRBCCLFo\n2c0GBjMwc/UvPznFEz8/k/68uXv6gKnN7cOo11KYl0N1iZ2BoSAeX/CaxzBWa7Ly+XwFVwClBRY8\nvhCtPT4utHhYVZFLkcM8rr+faQ5n0WZjJjlXdsA75vOoqqo6l8uVKp96BjgK+IGfuVwuj6qqV7pm\nEofDjE53fX1x5pLTuTgr986E3PvStVTvf6neNyzNe3c6bRTm5dDm9pGbZ8agn917WzQWT+c3pbgH\ng1N+TcORGF19w6yoyKO4yM76FYWcqOtlYDjCyurLNxm+GoeSPfvW1jonjWOuvtc1FXmcaeznlwcS\nLXHeclM1TqeN/AIrfP8YAEVFma0Wf61mElwNAmO/YppUkKSq6kbgXqAa8AHfV1X1wctdM52BGRQL\nWyycThtu99zs4rjeyb0vzXuHpXv/S/W+YWnee+qeTYbEwlBDcz8FubNL/HZ7EkuAdouBe3ZW8n8v\nXuJCU/+UX9M2t49oLE6xw4TbPYQj2bD4fEMv1UWWWd7NZOca+gDIy9GNG8dcfq/zkvdy5Hw3Br0G\ntdyefq2/+O3txOLxrPycXS6YnMmy4D7gHgBVVXcCp8cc8wIBIOByuaJAD+C4wjVCCCHEomY3p8ox\nzH5pMNX8+c6t5dy1fRkFdiNnG/v56D++yh//537+7aen0gndbe7Ecl15YWK5rqQgsaOtK4MNpGOx\nOJfaPGg1CqUFV94xlyljX2vn2hJyjKPzQpUltnTfv+vJTGaungT2qKq6n0RO1WOqqj4CWF0u19dU\nVf0vYK+qqiGgHvgOEJl4zZyMXgghhLgO2ZPlGAavIqn9YqsHo16bLp+QSuIuLUjMPG2oKeDVEx0U\n2k14fEGOX+rlbFM/m1cUpquZlzsT5zrzctAoCl391x5cff2XZ2nt8ZFvN9HZN8xN60vSffbmQ+r+\nAe6/pXreXvdaXDG4crlcMeAjEx6+MOb4V4GvTnHpxGuEEEKIJcGWXMoaHA4RicZ46Wgbm1YUXrZG\n0hM/P0OuxcAXH98BjM5cpWah3nuXysN3rMRo0HKx1cPf/c8xTtb1snlFId39iSXEkuTz67QanHmm\ndIA2W90Dwxw42w1Am9tPjlHHg29acU3PebXsFgP331JNWYGFPOvcFC7NNCkiKoQQQmTm9JlGAAAR\n80lEQVRYbnLm6tk3WnjpWDvNXUPUdwzy0fvXT3l+LB5nyB8iFku0eunuH+Z8cz+KAsWOHCDRtzBV\nW2pFeS7WHD0n63qJxeP0DATQ6zTkjakeXpJv5mR9H0PDIWzJZcqrdfh8DwAfeItKudOKLUefvrf5\n9I7dC2PGKkXa3wghhBAZtqI8j421BXT3B9JtaLyXWSIcCUaJk+iV99rJDj7/zUO4PSPcsrEM/RQ7\n6TUahQ01BXh8ITp6/fR4hily5IwrMJpaTpvp0mD3wDBP7Wukrn10s/+RCz3otIlm1CvKc2dUnVzI\nzJUQQgiRcWaTjk88uInB4RDnmwb4r6fOMjwyfa/BQDCxoT4O/O/zF9FqFT789vXcoDqnvaayxMaB\ns124WjzpdjBjpRLB69q8rKzIm/Z5ItEYX//lOQ5fSMxSnW7o48/et41gOEprj4+Vy/Iwz0PvvsVE\nZq6EEEKIOWI3G7hxbTGlBeZJNavGGg6OVisKRWJUFlnZtroIZZpWNwBlhYng6cSlRO2pYsf4WaUt\nq5wY9VpeONpGJBqb9nnONPZz+EIPFU4rDpuRlm4f0Viiblac0SR5MXMSXAkhhBBzLN9mxD8SIRiO\nTnl84qzW2Nyp6ZQll/3ONg0AUOQYP3NlzdFz2+YyBoaCHLvonvZ5DpzpAuCxe1azvjqfcCRGR+/w\n6A7EQgmurpYEV0IIIcQcc9gShUQ908xeBYLjg66Z7Ipz2Izj2r4UTwiuADavSFRnT9XBmvy6EU7U\n9VKSb6aqxEZVsmZUU9cg7cngqqxAgqurJTlXQgghxBxzJGei+oeCUyaFDwcnzFzNILhSFAWbWc9I\nKIo1R09tee6kc5zJPKyeaRo+N3QOEo7E2LKqEEVRqErW2Pr1gWaMybY9ZTJzddUkuBJCCCHmWCq4\nGhgamfL48Mj4DnF5tpmVO8i1GHF7Rrhja/mUPQwdNiM6rZJupTNRQ8cgADWlicCswmklx6gdF4zZ\ns1B6YaGT4EoIIYSYY6PB1XTLguODK8cMi2V+4K2rOXqhh3t2VU55XKNRKMzNmXbmqjEVXJUllgP1\nOg1feGwHpxv6ePpgM2sr82c0DjGeBFdCCCHEHLtScDU8IbiaaSXy8kIL5TdfvsBmkSOHrv5hhkfC\n40oqxONxGjoHcdiM6fFBYinxjq0V3LG1YkZjEJNJQrsQQggxx/LtiYT2aYOricuCGWzz4sxN5l1N\nWBpsd/sZ9IfSs1YicyS4EkIIIeaYxaRDr9PMaFkwx6hLt7nJBGdyF6HbMz7f6yev1gOwe31pxl5L\nJEhwJYQQQswxRVFwWI1XXBasKbNnfCapLFmpPdWGB6C918+p+j5WL89j04qCjL6ekOBKCCGEmBcO\nmxGvP8SHvvwyP36lbtyx4ZEIep2Gzz66lT/8rY0Zfd2VFXnotBpON/SlH2vqTCSyX6kKvJgdCa6E\nEEKIeeCwJ/KoYvE4zxxsGXcsEIxgNurQaTXotJl9azYatKjL82jt8aVnzlq6E0VFlxfbMvpaIkGC\nKyGEEGIeOC7T0mY4GMFsmrsN/BtrEkt/33r6PJf+//buPdiusj7j+PdcciWYBAwkBJQ06I8aLoGA\nNHWIqchQ0waFtnYE0xYKooLXqRBREIJtsVjadGxVoIJ2oBSYVsV2RpGmtERECm2RgA9GgUogURMg\nQMiF5PSPd+2Z3U1MTnLWXuvs9T6fv86+5fyes1fW/u213vW+Tz7L/657nj7gYK8b2BWeisHMzKwC\nnXNX7dgxRH9/H4888QzPb9rG7INeOcN6WeYfMZ3vPbKOVY9tYNVjGwA4cL+JjB/rNqAbfOTKzMys\nAq31BVuee3ErALeuSOOvFr/p0K797kkTxnDxknksPfNYJo5LDdV+w1gc2vaOmyszM7MKTO5YRmb9\nxs288NI2Hl/7PHMOncqsGd2db6qvr4/XHzKFS/7gOA6bOZmTjz+kq78vZz4eaGZmVoHp+///BZvX\nP7eZ7dt3ANUOLD9w6kQuXjKvst+XIx+5MjMzq8CkCWP4/EffzPmnHQnAho2beernLwIw0wPLG8VH\nrszMzCoybuwA06aksVfrN25mqLh/5qsn1VeUlc7NlZmZWYWmTZnA4EAfKx9ayz7jB+kDZnScMrTe\n5tOCZmZmFZowbpBzF89haGiIDRu3MG3qBMaOKW8tQaufj1yZmZlV7PjDD2DG/hO57vaHOXK21/Zr\nGjdXZmZmNTh42iQuO/uNdZdhXeDTgmZmZmYlcnNlZmZmViI3V2ZmZmYlcnNlZmZmViI3V2ZmZmYl\ncnNlZmZmViI3V2ZmZmYlcnNlZmZmViI3V2ZmZmYl2u0M7RHRD/wNcDSwBThH0urisenAzW1Pnwss\nlfSFiHgA2Fjc/5iks0qt3MzMzGwUGs7yN+8AxkuaHxG/Avw58HYASWuBhQARMR/4Y+DaiBgP9Ela\n2I2izczMzEarvqGhoV0+ISKuBr4n6ebi9hpJMzue0wfcB5wpSRFxAvAV4AlSA3expO92I4CZmZnZ\naDKcMVevAp5ru709IjqPeC0GVklScXsT8FngFOC9wI07eY2ZmZlZ4wyn4dkI7Nt2u1/Syx3PeTew\nvO32o8BqSUPAoxGxHpgB/GQkxZqZmZmNdsM5crUSWARQjLn6/k6ecxzwnbbbZ5PGZhERB5GOfj09\nokrNzMzMesBwxly1rhY8CugDzgKOBSZJuiYipgF3SJrb9pqxwA3Aa4Ah4CJJ3+n8t83MzMyaZrfN\nlZmZmZkNnycRNTMzMyuRmyszMzOzErm5MjMzMyuR557qkuJCgHGSXqq7lipFxBjgROA+Sc/XXU+V\nirnczgFWStrZVbWNVmzzYyRtqbuWKhWTKA9K2lZ3LVXLMbv37fnt2/eGj1x1QUScB3wV+LOImF13\nPVWJiHOAbwHHAJtrLqdSEfFO4D+Aq4DH662mesU2fzNweUTMKT50Gy0i+iJif+BzpKups5Frdu/b\n89u37y03VyVpfZhExBzgVOCjpKkr3lPc38i/dbGT7YuIRcC5pDnOrgUObH9OXfV1U0T0R8Q+EfEN\n0hqcfwjcAkypt7JqtG3zxwO/DXycNFHw7wIn11haJYpJkmcB7wQWRMR+NZfUda33PKfs3rfnt28v\nQyM3iqoV3+D2KW6eTFoKaDVwB3B0REwHxtVVX7cUuScVO9rngLuA95G+2V0dEZdGxPTi8UZpy/4i\ncKGkM4CngEOANbUWV4GObX4+8LSkHwE3kf4GJ0XE1Lrq65aImBwRE4ufB4BfJR2x+2XgyDpr67aO\n9xzSKaJGZ/e+Pb99e1ncXI1QRHwE+Bfg0xHxfkl/CVxUbJznAT8DriCNxWmMttzLIuJDklYCAWyX\n9BZgGWlM3+k1ltkVHdkvlPQwgKRngRdIH7iN1bHNvw/4B+CIiDhc0jPAemAbqclqmk8D5xc/DwEr\nJH2AtEj9SRFxcG2VdVHHNv+x4u47mpzd+/b89u1lcnM1AhHxOtLi1KeSlvs5LSLOkzQkaT1wuqQl\nwP2kD5tGHEbtyH018PaIOA24ELgNQNJDwEvAM8Vrej437PQ9f2sxHqH1be9RoLGDPXeS/7eABcBf\nA5dFxD2k5uowGnbBTEQsBN4CzI+IN0jaAfywePjLpGby2GKFisboeM//AjglIs4q/o9DA7N7357f\nvr1sbq5G5gDgIWCTpJ8AlwEfi4jBiJgFvCEiDgV+g2IQYEMOo3bmvhT4DLAa2BoRrW+xbwQ2QWNy\nwyuzXw4sjYjBYqc7FXgbNHYsxs62+WXAl4ClwEWkbWETxYdOgxwCXEf6Vn8OgKTNETEg6UngXtLY\nuxn1ldgVne/5p4BPFFfH0tDs3rfnt28vVRN3/l3V0aU/A8wGDoqIvuLw6UrgTGA68GHgRuDvJd1Q\nda1l2k3uu4F7gDNI/znfC9wK3Cbpa5UXW7JhvucfLB6/FnhX8YG7o+JSu2IY7/19pAGvkD5gHwDu\n7vXpKNoGMrf2k7eSxhjdDxwQEa1B+62/z/XAdZKeqLTQEhUXaEwqfm7l+kXb/PvbXtqz2fcwc2P2\n7cPM3eh9eze5uRqGiPjNiLi27XZ/seE9TDoN9C5g/+Lhu4CXJd1DOi9/oqSbKi+6BHuRe4ekO0lX\ni71J0o2VF12SPcz+b8A6AEn/CRwjaXvFJZdqD/OvAF6U9DjpVMI8SV+quuYy7Cx3q0mWtFnS06RT\ngXeSmuh+SS8Xf5stvbxAfURcQGoeW1Mr9O1mm19fvK6/V7PvYeYm7dv3NHdj9u1V8cLNwxARHyYd\nGp3XNs6AiJgHzCVdNfMj0k73I8AySf9cR61lyjU35J0d9ir/FZK+UUetZdpF7jcD+7YyFmNTLgG+\nIunbtRRbkoiYBvw76YjEVZ0TRDZxm88xM+Sbuw5urnah9a21uHriOGCqpEURMY40WeTRwBJgDOly\n9LcBfyvpX2srugS55oa8s0O++YeR+wjgQ61TncV4oymSfl5f1eWJiNuAr5NyTiWdHrqINID9GJr5\nnmeXGfLNXTU3Vx0izcA7JOmaSPPYjAO+KGlJRNxPOhT+BeAHrUvwmyDX3JB3dsg3f665YafZzyaN\np/ki8E+k6TXuAj4v6af1VVqeHDNDvrnr5jFXr7QAuDgiJhbjZiYAqyNiCWng6tHAN1s722JjbYJc\nc0Pe2SHf/LnmhldmX0WaTuPLkn4GXAAsBjZAY7LnmBnyzV2r7JurSDPstn6eA2wEBPxJcfdU0sZ3\nImn+jwdIh1AB6NWBy7nmhryzQ775c80Nu8z+p8Xd95Pmq2otY/Na4HZJL0NvZs8xM+Sbe7TJ9rRg\npLk6LiNdXno7aVHKZ0mX2a4BHgQWS1oVEUdJerB43WHALEl31FL4COWaG/LODvnmzzU3DDv7Ikk/\niIiTSONtZgI7gCslraij7pHIMTPkm3u0yrm5+iQwljQ/yxJgGvBxSS8Uj19KuqT+tLbXDLa6+16V\na27IOzvkmz/X3LBn2YtB+oPAAknfqqvmkcoxM+Sbe7TKqrmKiLOAhaRLTGeRLh//cfEN9T3AGknL\n256/Bjhf0lfrqLcsueaGvLNDvvlzzQ15Zs8xM+SbuxdkM+YqIq4kXVa6nDRQ9fdJE8EBPAl8G3ht\nROzX9rLfI52r7lm55oa8s0O++XPNDXlmzzEz5Ju7V2TTXAGTgWskPQB8jnS1xBkRMVfSZuCnwHjg\nhSiWApB0p6RHaqu4HLnmhryzQ775c80NeWbPMTPkm7snNGrV+l8k0tpg/0haXBTSFP5fB74PLI+I\nc4G3kqb7H5C0tZZCS5Zrbsg7O+SbP9fckGf2HDNDvrl7SVZjrgAi4lWkw6WnSlobEZ8gXZJ6IPBH\nktbWWmCX5Job8s4O+ebPNTfkmT3HzJBv7tEuiyNXHWaSNsTJEfFXwEPAUknb6i2r63LNDXlnh3zz\n55ob8syeY2bIN/eolmNztQBYChwL/J3yWd0719yQd3bIN3+uuSHP7Dlmhnxzj2o5NldbgU8Cn83s\nPHSuuSHv7JBv/lxzQ57Zc8wM+eYe1XJsrm6QlNdAsyTX3JB3dsg3f665Ic/sOWaGfHOPatkNaDcz\nMzPrppzmuTIzMzPrOjdXZmZmZiVyc2VmZmZWohwHtJtZj4uIQ4FHgYeLuyYADwIXSFq3i9etkPRr\n3a/QzHLmI1dm1quekjRX0lzgcGA1cNtuXrOw61WZWfZ85MrMep6koYj4FLAuIo4CPgAcQVoCRMDp\nwGcAIuJeSSdExK8Dy4AxwGPAuZLW1xLAzBrFR67MrBGKCRR/CLwD2CppPnAY6ZThIkkfLJ53QkRM\nA64ETpF0DPBNiubLzGykfOTKzJpkCPgv4McRcT7pdOHrgEkdzzsBeA2wIiIABoANFdZpZg3m5srM\nGiEixgIB/BJwBbAcuB54NdDX8fQB4G5JpxavHQ/sW121ZtZkPi1oZj0vIvqBy4HvArOBWyRdD6wl\nLWw7UDx1e0QMAvcC8yPi9cX9lwBXVVu1mTWVj1yZWa86KCL+u/h5gHQ68AxgJnBTRPwOsIXUcM0q\nnvc14H+AecDZwC0RMQA8Cby7wtrNrMG8tqCZmZlZiXxa0MzMzKxEbq7MzMzMSuTmyszMzKxEbq7M\nzMzMSuTmyszMzKxEbq7MzMzMSuTmyszMzKxEbq7MzMzMSvR/IC054yVcm8IAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1148750b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"train[['Returns', 'Strategy']].cumsum().apply(np.exp).plot(figsize=(10, 6));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Testing the Model"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"test = data[data.index >= cutoff].copy()"
]
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"test['Prediction'] = lm.predict(test[cols])"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
" 1.0 323\n",
"-1.0 273\n",
"dtype: int64"
]
},
"execution_count": 101,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sign(test['Prediction'] * test['Returns']).value_counts()"
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"test['Strategy'] = test['Prediction'] * test['Returns']"
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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JVSwqmI/VmMWWhg/V91OaWdLv96fayeWrsOXNUX+XrYMIpDUaDatKljPNOuW4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xWRaIwTbSMU55mUsW/jIT8n7wIx3M0KsCxJrChOdkg26YwUmgoUJ34Ad3yO5GQCTBAE5pXmcLI9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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112843588>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"test[['Returns', 'Strategy']].cumsum().apply(np.exp).plot(figsize=(10, 6));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exponential Forces"
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"x = np.linspace(0, 3, 50)\n",
"y = np.exp(x)"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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lZVW/wlUI4afATwGiKPpX4KZ3glWv5cC1IYSXj7VASdLQk0pnuPvZ9watX3ZG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\nKUGGK0mSpAQZriRJkhL0/wN9FRBvba2nLAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x114ab0cf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 6))\n",
"plt.plot(x, y)\n",
"plt.axhline(np.exp(0), color='r')\n",
"plt.axhline(np.exp(1), color='r')\n",
"plt.axhline(np.exp(2), color='r')\n",
"plt.axhline(np.exp(3), color='r');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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