{ "metadata": { "name": "3. Backtesting using Zipline" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Zipline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zipline is an open-source algorithmic trading simulator.\n", "\n", "The source can be found at: https://github.com/quantopian/zipline\n", "\n", "Some benefits include:\n", "\n", "* Realistic: slippage, transaction costs, order delays.\n", "* Stream-based: Process each event individually, avoids look-ahead bias.\n", "* Batteries included: Common transforms (moving average) as well as common risk calculations (Sharpe)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pandas as pd\n", "import pandas.io.data\n", "import numpy as np\n", "\n", "import pytz\n", "from datetime import datetime\n", "\n", "import zipline as zp\n", "\n", "from zipline.finance.slippage import FixedSlippage" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Simplest Zipline Algorithm: Buy Apple" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load Apple (AAPL) historical prices from yahoo finance." ] }, { "cell_type": "code", "collapsed": false, "input": [ "start = datetime(1990, 1, 1, 0, 0, 0, 0, pytz.utc)\n", "end = datetime(2002, 1, 1, 0, 0, 0, 0, pytz.utc)\n", "data = zp.utils.factory.load_from_yahoo(stocks=['AAPL'], indexes={}, start=start,\n", " end=end, adjusted=False)\n", "data.plot()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "AAPL\n" ] }, { "output_type": "pyout", "prompt_number": 2, "text": [ "" ] }, { "output_type": "display_data", "png": 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z/WXQ9PkFBRH98Yfh53dwEMdOmSKm7drJ29avJ+rcWY6N37BB3nbjhljn4kL0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\nYz3ra5WFnj7s3pCfOnWK9ViP9SqAnj1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} ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define trading algorithm by inheriting from `zipline.TradingAlgorithm`.\n", "\n", "We have to overwrite two methods:\n", "\n", "* `initialize()`: Called once before the beginning of the simulation\n", "* `handle_data(data)`: Called for every bar. Data contains only information available at this point in time.\n", "\n", "Some commonly used attributes and methods include:\n", "\n", "* `self.order(stock, amount)`: Order `amount` of `stock`'s shares\n", "* `self.run(data)`: Start the simulation. `data` can be a `pandas.DataFrame` that will be streamed through the algorithm and accessed there. It returns a `DataFrame` containing performance information of our algorithm." ] }, { "cell_type": "code", "collapsed": false, "input": [ "class BuyApple(zp.TradingAlgorithm): # inherit from TradingAlgorithm\n", " def handle_data(self, data): # overload handle_data() method\n", " self.order('AAPL', 1) # stock (='AAPL') to order and amount (=1 shares)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instantiate class and call the `.run()` method to start the backtest." ] }, { "cell_type": "code", "collapsed": false, "input": [ "algo = BuyApple()\n", "perf = algo.run(data)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "[2013-07-27 13:22] INFO: Performance: Simulated 3028 trading days out of 3028.\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-07-27 13:22] INFO: Performance: first open: 1990-01-02 14:31:00+00:00\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-07-27 13:22] INFO: Performance: last close: 2001-12-31 21:00:00+00:00\n" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "perf" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
\n",
        "<class 'pandas.core.frame.DataFrame'>\n",
        "DatetimeIndex: 3028 entries, 1990-01-02 21:00:00 to 2001-12-31 21:00:00\n",
        "Data columns (total 16 columns):\n",
        "capital_used               3028  non-null values\n",
        "cumulative_capital_used    3028  non-null values\n",
        "ending_cash                3028  non-null values\n",
        "ending_value               3028  non-null values\n",
        "max_capital_used           3028  non-null values\n",
        "max_leverage               3028  non-null values\n",
        "orders                     3028  non-null values\n",
        "period_close               3028  non-null values\n",
        "period_open                3028  non-null values\n",
        "pnl                        3028  non-null values\n",
        "portfolio_value            3028  non-null values\n",
        "positions                  3028  non-null values\n",
        "returns                    3028  non-null values\n",
        "starting_cash              3028  non-null values\n",
        "starting_value             3028  non-null values\n",
        "transactions               3028  non-null values\n",
        "dtypes: float64(11), object(5)\n",
        "
" ], "output_type": "pyout", "prompt_number": 5, "text": [ "\n", "DatetimeIndex: 3028 entries, 1990-01-02 21:00:00 to 2001-12-31 21:00:00\n", "Data columns (total 16 columns):\n", "capital_used 3028 non-null values\n", "cumulative_capital_used 3028 non-null values\n", "ending_cash 3028 non-null values\n", "ending_value 3028 non-null values\n", "max_capital_used 3028 non-null values\n", "max_leverage 3028 non-null values\n", "orders 3028 non-null values\n", "period_close 3028 non-null values\n", "period_open 3028 non-null values\n", "pnl 3028 non-null values\n", "portfolio_value 3028 non-null values\n", "positions 3028 non-null values\n", "returns 3028 non-null values\n", "starting_cash 3028 non-null values\n", "starting_value 3028 non-null values\n", "transactions 3028 non-null values\n", "dtypes: float64(11), object(5)" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "perf.portfolio_value.plot()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 6, "text": [ "" ] }, { "output_type": "display_data", "png": 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BSE5ORnFxMYqKirBv3z6MGzfOOJ8CwzAMgAsXGqfVe6cFAPTqpTEMFhZdM8bQoh/m9OnT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\nBw7EE088gePHj8PW1hZ5eXkAgNzcXAy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} ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Common Algo Trading Strategies\n", "==============================\n", "\n", "Broadly, algorithmic trading strategies come in two flavors:\n", "\n", "* Momentum Strategy: Stocks have momentum (i.e. upward or downward trends) that we can detect and exploit.\n", "* Mean-reversion Strategy: Stocks return to their mean and we can exploit when it deviates from that mean." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Classic Momentum Strategy: Dual Moving Average Cross-Over\n", "---------------------------------------------------------" ] }, { "cell_type": "code", "collapsed": false, "input": [ "class DualMovingAverage(zp.TradingAlgorithm):\n", " \"\"\"Dual Moving Average Crossover algorithm.\n", "\n", " This algorithm buys apple once its short moving average crosses\n", " its long moving average (indicating upwards momentum) and sells\n", " its shares once the averages cross again (indicating downwards\n", " momentum).\n", "\n", " \"\"\"\n", " def initialize(self, short_window=100, long_window=400):\n", " # Add 2 mavg transforms, one with a long window, one\n", " # with a short window.\n", " self.add_transform(zp.transforms.MovingAverage, 'short_mavg', ['price'],\n", " window_length=short_window)\n", "\n", " self.add_transform(zp.transforms.MovingAverage, 'long_mavg', ['price'],\n", " window_length=long_window)\n", "\n", " # To keep track of whether we invested in the stock or not\n", " self.invested = False\n", "\n", " def handle_data(self, data):\n", " short_mavg = data['AAPL'].short_mavg['price']\n", " long_mavg = data['AAPL'].long_mavg['price']\n", " buy = False\n", " sell = False\n", "\n", " if short_mavg > long_mavg and not self.invested:\n", " self.order('AAPL', 100)\n", " self.invested = True\n", " buy = True\n", " elif short_mavg < long_mavg and self.invested:\n", " self.order('AAPL', -100)\n", " self.invested = False\n", " sell = True\n", "\n", " self.record(short_mavg=short_mavg,\n", " long_mavg=long_mavg,\n", " buy=buy,\n", " sell=sell)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "dma = DualMovingAverage()\n", "perf = dma.run(data)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "[2013-07-27 13:22] DEBUG: Transform: Running StatefulTransform [short_mavg]\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-07-27 13:22] DEBUG: Transform: Running StatefulTransform [long_mavg]\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-07-27 13:23] DEBUG: Transform: Finished StatefulTransform [long_mavg]\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-07-27 13:23] DEBUG: Transform: Finished StatefulTransform [short_mavg]\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-07-27 13:23] INFO: Performance: Simulated 3028 trading days out of 3028.\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-07-27 13:23] INFO: Performance: first open: 1990-01-02 14:31:00+00:00\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-07-27 13:23] INFO: Performance: last close: 2001-12-31 21:00:00+00:00\n" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "ax1 = fig.add_subplot(211, ylabel='Price in $')\n", "data['AAPL'].plot(ax=ax1, color='r', lw=2.)\n", "perf[['short_mavg', 'long_mavg']].plot(ax=ax1, lw=2.)\n", "\n", "ax1.plot(perf.ix[perf.buy].index, perf.short_mavg[perf.buy],\n", " '^', markersize=10, color='m')\n", "ax1.plot(perf.ix[perf.sell].index, perf.short_mavg[perf.sell],\n", " 'v', markersize=10, color='k')\n", "\n", "ax2 = fig.add_subplot(212, ylabel='Portfolio value in $')\n", "perf.portfolio_value.plot(ax=ax2, lw=2.)\n", "\n", "ax2.plot(perf.ix[perf.buy].index, perf.portfolio_value[perf.buy],\n", " '^', markersize=10, color='m')\n", "ax2.plot(perf.ix[perf.sell].index, perf.portfolio_value[perf.sell],\n", " 'v', markersize=10, color='k')\n", "\n", "plt.legend(loc=0)\n", "plt.gcf().set_size_inches(14, 10)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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qaiojRozg/v37/PTTTyQmJlKtWjUOHjxIvXr1AGjTpg1vvvkmwcHBBS6fMekjJYQQQgib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\nRD+oqqrCzc2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} ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mean-reversion strategies\n", "-------------------------\n", "\n", "Idea: If stock (or combination of stocks as in pairtrading) always revert back to its mean, we can long (short) the stock if it decreases (increases) from its mean." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load stocks that are correlated (and hopefully cointegrated, which means that a linear combination of them will be mean-reverting).\n", "\n", "Coca-Cola (KO) and Pepsi (PEP) is a good example as they are both in the same market segment and are both likely to be affected by the same events (e.g. increase of price of corn syrup)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "start = datetime(1997, 1, 1, 0, 0, 0, 0, pytz.utc)\n", "end = datetime(1998, 6, 1, 0, 0, 0, 0, pytz.utc)\n", "data = zp.utils.factory.load_from_yahoo(stocks=['PEP', 'KO'], indexes={},\n", " start=start, end=end, adjusted=True)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "PEP\n", "KO" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The idea is that while neither stock price is mean-reverting, a linear combination of them will be." ] }, { "cell_type": "code", "collapsed": false, "input": [ "data[['PEP', 'KO']].plot()\n", "plt.ylabel('price')\n", "\n", "plt.figure()\n", "integrated = data.PEP - data.KO\n", "integrated.plot()\n", "plt.ylabel('combined price')\n", "plt.axhline(integrated.mean())" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 11, "text": [ "" ] }, { "output_type": "display_data", "png": 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UZgU7cUJzCAegMM5Mn5k4cf8EkoqS8Myvz2D9ufVKIRxN2hwtHPGg6AGq6qsQ\nnhze7H7F1cVYd3YdFv+5WNYpfPz+cTzv+7xW16YrHcLYCwgYG6kUOHaMjH1AgLyTFVAdxgGAb74B\ncnOV19na0v41NeT9c/H2b76hcERKCrWlqnR5Xh5w9SoZOM7YjxwJ/Pvf5EkDwMmTVD5XJKIQ0tSp\nXFindfjrLzpnz56t018QG0ujk/Pz6Zo1UVpTipE9RiKzLBMjvh8BU7EprudcRy+7Xlqf09HcEfXS\nevS174u/7/7d7H7rzq7DmZQzGOo2FD9c/QGzDs5CZlkmBjgO0PpcOqFNNbakpCR28uRJxhhjFRUV\nrKSkROeKbrqipTQBAV4QHc2Ytzf9HR7O2IgR8m2+voxdu6Z9W+7ujKWmUoVGgLGKCsYcHRm7e5e2\nu7gwlpbW9Lj9+xkzM6NjNm6kddXVtGxpyVh+Pv0uKpIfExbGWFCQTpeqN1IpXdutW6TBxYWxq1fl\n22trGduzx7DnnD+fsfXr6R5oMikN0gYm/kzM6hvq2St/vsJmH5rNtkVtY/gUbPP5zVqfc9flXQyf\ngn0e8Tnz/MqTVdVVsb3xe5vs57TJid0ruMcYY6ykuoThUzB82jK7p85uavTsd+/ejeeeew6vvfYa\nACA9PV1WtVJAQIC4dAkYNYr+5uLuUillnpSWynPptcHZmTx+LsTz3//SrEV9+tBy//5UV6cxp0/T\nmwUg9+zNzMjMjRoFTJgA+PrKtwHA8OHUScsVZTMmcXEUzurfnzTMnElhHY6EBOCNN1S/tejKpEn0\nGYSGAq+8QuMXNFFWU4aupl1hIjbB7qd345dnf0EPmx4AoFUmDoejBY2MGu05Gg3SBuy/sR9v/f2W\n0kxSDdIGFFQVwNPWEwBgbWaNMwvO4KdnftL+InVEo7HfsWMHzp07B+uHs9/269cPuY3fPXkO32K7\nHHzVxSHo057bt6ljFqDO0a5dIxAZCSxeDPz8s3bxYo7Gxv7cOWDaNPl2dcb++YfhXkWDDlAs/803\ngU8/pWXu3nXpQg8SfW/lJ59QJ68mxo4F9uwBnnpKvq5XLyA5Wb6cmEgduKWlLftsS0tp/tb58+mB\n4uAAuLpqcVxNKWy62Citc7eiQRC6xuwBwMHcAU/2exLbo7ejvLYceZXykqYlNSWw6mwFE7G8nvET\nHk/gxYEvahaqJxqNvZmZGcwUurDr6+sN0jMsINCeuH2bjDCHlxcwZgzlyXMev7a4uNAIV+7frriY\nDBZHv34nuIR1AAAgAElEQVTAnTvKxyQnUx756NG03NjYW1rSg2fSpKbnGzdO/7j9558D//iHfLmi\ngt5oFImLIw/+yBF6s+Dw9KS5eTkSE+l3djalpTY34KuhQf1cvVw78fE0VgEAvL01X0tJTQmszayV\n1rlbk7HXJWbvYE4flr25PUK8QhCbRQMv7hfel+1TVFUEe3N7rds0BBqN/ejRo7F27VpUVlbi5MmT\neO655/D000+3hjaDwbd8bA6+6uIQ9GlPY2Pv6ysBAKzSo8w559mbmtIyNxk5hyrP/vRpMtrcQ8HO\nTv05FO9dS4x9ly7y8hCM0QPu6FHlff76i34nJSmHUzw96SGVnU1e/82btD47G9i7V4ING1Sf8+BB\n5Tedxty8Samlb7whn+R9586mD8jGnE05CycLJ6V1rpau2DJxi9JDQNP3jvPs7c3tMbIHVbkTi8S4\nX6Rg7KuLYGeu4UMyMBqN/YYNG+Dk5AR/f3/s2rULU6ZMwZo1+hX6ERAwBnV1bVvdMTcXKCoCPDzk\n67Zto3CC4qxD2uLiohzGKSpSNt6qjH1CAqUzdu5Mo3Mbe/bqeOwxGnWrz8QpD6eIBkBF3WJiKPNF\nEcVaQYrhlF69yAv386MxBOfOkQd++DCFvhq3w5GYCISFNV9u4fZt4OmnKYOJw8oK6NtX/bWsObsG\nX4Qo18URi8Q6D2hytHDEP4L+AbNOZnCxdEF/h/4Y3n24rHImQGUZ7LrwzNhXV1dj8eLFOHToEA4d\nOoRFixahqkq3gQJtDZ9iu4rwVRfHo6Jv/Xpg48a20xEaSh2jnRTKiV+6FKFxtGZzODtTGIcLh2Rn\nKxtvLy8yoNnZ8nWZmfIaO2vWUGqjOhQ/WxMTajMlRXetLi70OyMD2LGDOmBLS5X3KSoCej8c1a9o\n7O3sgI8/pkFfQUHUSSyRUH0hP7+IJu1w3LtHA9J+/VX1dn1LGRdWFcLXWXMFSU3/FyZiE3w16SvZ\n8ul5p7EwYKGyZ1/FQ89+7NixSsa9srIS48eP19hwWloaxowZA19fX/j5+WHbtm2ybdu3b4e3tzf8\n/PzwwQcf6CldQIBITVXOa29tTp0CnnzScO1xYRxuQFVurrKx79SJBkYdV6jXpWjslyzRPFK0MY1r\n6Uul2hVJq66msgxLl1IZhJdeajoquLiYPHaRSLkOkEgE/POf1AcRGAj4+9OgsgEDaJRwc/Px3rsH\nLFtGg8xUUVJCDwNdqK6vRoO0AeadzHU7UAvcrd3Rx76Pcsy+uvVj9hqnJaypqYGlQiqBlZUVKrUo\nuG1qaootW7YgICAA5eXlePzxxxESEoLs7Gz8+eefuHbtGkxNTZHXCpNu8im2qwhfdXE8KvpycgxT\nA15fUlLknitHS+4d10FbU0Mx+IICCs0oMnkyxcbnUwkVZGQ0neVIHY31NTb2//0v8Pff9FsdlZX0\nVvXMM8CMGRTWKVauIYbiYvLco6OV334UmTCBHgSvvgq88AJw754E586p3vf+fUqn/Pe/KQ7feBpr\nfYx9SXUJbLvYapV8os9n62Xn1dSz51sYp2vXrrhy5Yps+fLlyzA31/z0c3V1RUBAAADA0tIS3t7e\nyMjIwM6dO7Fq1SqYPux9cnJyUteMgIBGcnKA9HTN+xmLtDSgRw/Dtcd59jU18nbFjf5TJ0+mEgBc\nRcfMTN2MfWMaG/uICM0dmgAZe3d3KuHw2Wf0UEpKohALFxAoLqbCbP7+zbfz5JPk5Ts60gPD2rpp\nOAig0JVUSh29zz+v2rvXx9gXVxcr1Yo3NO7W7iiuLpZNjFJYzcOY/VdffYVZs2YhODgYwcHBeP75\n57F9+3adTpKcnIy4uDgEBQXhzp07iIyMxLBhwyCRSHD58mW9xWsLX2PPfNXFYUx9a9dS7nVL4PTl\n5JDBNcRgHF2pq6OOzcaGtiX3zsmJOierq5Vr3Svi5kZx+UuXKCZuZqa6JENzNNbX2NhfuKBdDJ8r\n8iaR0IPJyopy+mfPlufuFxdTdsypU9rrS0xsGrPPz6d0ysBACgHNmUPGvvHnrpdnX1OitbHX57MV\ni8ToY98HN3KpQl5uRS6curauo6sxjDNkyBAkJibi9u3bEIlE6N+/v8wr14by8nLMnDkTW7duhZWV\nFerr61FUVISoqCjExMRg1qxZePDggcpjFyxYAM+H3f22trYICAiQvUJxN/xRXo6Pj+eVHl30HTwY\nga5dgSlTdGt/1CgJ7t4FPvyQloGW6Rs9WoLcXEAqjXhYd6X17g8AlJdL4OQEnDunvD3+YZ1ifdrv\n3BkwM4tAeTng7t78/r6+wIoVEkyYANjZRSAiQvvzNdZXUBCBq1cBQILCQiA5OQINDUBlpQQWFs23\nV1GhvN3amrYDEbhwAZg8WYLiYuDGjQgkJWmvLzk5/mF2EC3v3RuBxYuBZ5+VIDCQ9mcMqK2V4OpV\noLhYfnxJCT0s8vO1P9+ZM2cgTZIPEDDG92VQ1SAcvHkQQ92H4tqlaxhYORAIbNn5uL+TFUenNUdz\ndRROnTrFGGPs0KFD7LfffmOHDh2S/f3bb79pVaehtraWTZgwgW3ZskW2btKkSSwiIkK23Lt3b5af\nn69TjQeBtmfaNMZefVW3YzZvZqxrV8Z69WJs8GDG+vdvuY6SEmpzwADGEhJa3p4m6uoYu36d/k5P\n167mij7070/tnjzJmJeX6n0iI+Xnnz69ZecrKWHMxoaxvDzGDh9mbNw4xvr2ZSwxUf1xnToxVlMj\nXw4LIz3m5ox98w1j9fWMmZgw1tCgm57SUqrjwzFpEmP9+lHbf/4pXz9vHmPffad8rIUFHa8Lv974\nlT134DndDtKRGzk3mPuX7qxB2sB6b+3NbuffNvg51NnNZj37yMhIjBs3Dn/99ZfKTosZM2Zoeohg\n8eLF8PHxwbJl8jzV6dOnIywsDKNHj8adO3dQW1sLB8XhgQKPBNHRlC3xySeUQldQQJkU6jh/Hvju\nO3rFz8+n1/4ePVpW1zwri9L5rKyaz94wJP/5D+WEM0aDe0aMAB6WjTIozs404Gj8eOqQVMXIkZTP\nv3SpvG6OvlhbA1OmAIcO0ecxYgStT02Vl4FoTF0d3QfFF32uI9nXl8I3paX02Yh1rK/btSuNCD5z\nhkbLPnhA35/r12ngFoe3N4WHKipoTl0rKwp/6VKeAjB+zB4AfJ194WDhgDPJZ5Bemo4e1gbs6NEG\ndU+JhoYGtn//fr2eMGfPnmUikYgNGjSIBQQEsICAAHb06FFWW1vL5s6dy/z8/Nhjjz3GwsPDdX5C\n6Upz52hr+KqLozl96elUhXHJEsZWrGBszRrGgoM1tzdyJGNnztDfDQ2MiUTkqUml2muqqWHsxRfl\n+vbvp7eMcePICzY277wj9+SDghg7flz1fi39bGfOZMzaWvN+VVWMicWM7dqlW/uq9P3yC2NPPcWY\nRMLYsWOMLVrE2O7dzbdRXMyYlZXyutu36f7Mm0ffjcREepPTlfDwcNlbS9++9Lahij/+oH0GDWLM\nx4eqaNra6n6+jec2shUnVmitTV82nN3Apv4ylTltctK7DXWos5tqY/ZisRibNm3C88/rXkw/ODgY\n0sZFMh6yb98+ndsT4A/Xr1PN9vfeo84yNzfg1i3y1tUNZsnLo85HgDw9d3fKoqmqUj25hyqysmh0\n5VcPx6zExFCmx+XLqrM3DA2Xz3/jBnmbLe1kbg5n56YTm6iiSxdK+9Q0OlQbJkwAFi4kz/h//wOi\notR30qqq06/o2d+7R/VwWnqPevWitw5VcDVvTpwAfviBzqWpc/aL819ge/R2fCr5FIsCFwGgAVXG\n9uwBYLbfbKw8vRKD3QYb/VyN0fhyFRISgs2bNyMtLQ2FhYWyn0cJrlODb/BVF0dz+tLTKfzi4UGF\nvtzcaEIMTfVV8vKUB9VwdVI0Gek7d2jyjZkzaXQlQA+c0aMpF3vIEOOEcSIiaO5SRbgpA7dsIT3N\n5Y239LN1dtZ+YFRoKA1s0gVV+uzt6SEO0CAuDw/l2aR++olCKxyqplvkDK2HB4Vx9u+nsJ2ucB3V\nhw9Txk1z6e99+9KELc7OwPvvA5s2UU6/OrZe2orXB7+OgzcPytZdy7kGHycfrbXpi4etB76Z8o1R\nSxk3h0Zjv3//fuzYsQNPPPEEHn/8cdmPQMclI0OeEvj55+RVBQeTd90cdXVkjBVrvHC11zUZ+6go\nelD4+NBAGoCMfWgoGZTRo8mjNLSxnzVLPmgJoGqLmZmURvj99/oZMW1xcdHe2Ht761eDRxVHjtD9\nBshgc5799u00OjYmRr6vKmNvbk7BFzs74MoViv/raxtraij/3l7NQFORSF7sDKDZvJorowAAGaUZ\nqGmowYv+L+JaDj25GWOIyYzBELch+gnVkTeGvIH+jv0172hgNBr7xMREvPXWWxg0aBACAwOxZMkS\n3OTK0z0iKKYp8Qm+6uJoTp+isecYMkTZEDSmc2caAKTYUffZZ1SES5Oxz8ujcNGsWfKCZ8eOAa++\nGoGdO8koWllRO/n59BAwBHl5yh5lTo68MxqgB1xztPSz1TaMoy/N6bO3l3vGPXuSsT98mOoPBQUp\nF0srL28+/GZrS2Gu555r/u1HH30tJTojGkPdh6KnTU+U15ajoLIAScVJMBWbysoZt5U2Y6PR2M+b\nNw+JiYn4xz/+gbfffhs3b97EvHnzWkObAE/JyAAcu1WhrkFeanLwYJrvs76+6f7q6uap88iLisjT\nzM2lWD+X7bNoEU2iHRgo9xq5MM5339HbRkvhRuQ6OFAVxXPn5CNlR42iYf26ZpjogqsrxePbkp49\nybueNw/47Te63/n55LkfOEAjWMeNU30s9wZnzLcffYjOjMZQt6EQiUTwdfJFQl4CDt08hCl9m+kU\naE9o6t315ibW1LDO0GghTcDIpKZSPnxjAgIYm/H9q6zvtr7s8O3DrEFKSdQ+PoxdudJ0fy5Dw82t\n6bapUymjQhWffUbHLVzI2LffUtaOpSVj69YxduoUY4WF8n23b2fsrbcoK8PFRY+LbcTatYy9/DJj\npqaUgdOlC2P/+EfL89m1pb6esfj41jmXOg4cYOzDD+nvjz5i7NNPKc+9Vy/GFIbLNKGsjLKkdM2v\nNzZj945lR+8eZYwx9tLvL7HvY79nPjt8WGRyZBsrMwzq7KZG3+Sxxx7DxYsXZctRUVFCzL6DEBnZ\nNMebMXq1L0Eanur3FJafXA7HTY7YeXknBo1OVipe9a9/0QQSXNxWVf1xLvyyZg2werXyNi5EwGXx\niETk3Ts5kUepGP+3sqLc/9xcKnHbkvr2jNFkGosXk4cdGUnx6m++MWwNHHWYmNBctm3Nc8/JPxdH\nR/osNm8G1q2Tz4qlCktL4I8/jPv2oytSJsXlzMuy2LyXnRcO3jyIqroqBPdUE5NrJ2j8KC5fvoyR\nI0fCw8MDnp6eGDFiBC5fvgx/f38MVOwZ4TF8jbHxVRfHwYMRTUIwycnUCVdcl4vZfrOR+FYilgYt\nxacRn+KU+1icPSdPt42NBb79ljIkmjOS1taUTrllC3W6KsIZey6MA1D2BdeW4v2zsqI+g+efp3h3\nVpb+133hAsWZg4Kok/LKFQrb/Pkn1WPRBr5/tvroc3KiSpvJyZSJZEyMcf9u5d+Ck4UTHCxoEGdv\nu944eu8o5g2ap9NUq3z/bJtDY9fJsWPHWkOHAA9JSKCca6lU7qFxee1xlXmyKdw+Gf0JVgavhN/X\ngYi4FQfGHodIBNxPL8G6L0X4+ANrLF+u+hzW1uQxW1srp/kB9FABqGOUS9k8cEB1lgqX3z17Nhnr\nzEzNE3g0prqaKjbu2UP55iIRvUGcO0e57INbPzWaVzg6Uqfrxo36dbq2NdEZ0QjqLs/L7G1Pdalf\nGvhSW0lqXVoxnKQTPJbWISgtpZozpqaMVVTI17/zDmNr1kiZ+RpzVlZTpnTMkr+XMKvJ69n9+7Rs\n9cz77M3fVrHQUIrl19bXMmmj4bJr11Jc/uBBxlw889mqU6tk23btktd+KS5Wrzc+nrHevSmuP306\nY4cO6X7Nu3fTuWxtGcvMpHUxMcapffMoEh1N94K7N48abxx+g3118SvZcnlNOdt0blMbKjI86uwm\njyJqAq3J0qU0JVxzXLpE2ReWlsrZNH//DTwxvgIA0NVUefjkhN4TYO53AqdPUyZNudk9ZNbewtSp\nlGL57IFn8d6J9wDQZBF3C+7C1pZqvDzzDFDQ9Ry2XdoG9rBmbXW1vG1NoyIHDqTBNSJR03K92sJl\nBe3eLR/wNXhw69TceRQYOJAGOClOGv4ocTPvJvyc/WTLXTt3xYqRK9pQUevSIYw9X2Nsra3r+HHq\nNEtOpkEye/cqb29ooFjs7t0UCunePQLm5nJjf+ECGT73vnlw6urUJM4p8ZSgpGsMXn8vD9OfL0Un\nxyTcLaQZMBLzEhGTGYNfE37F2ZSz+D7ueyw/uRwvvUTFt0xMAMu+caioq0B2OU2uyhn75jr5FO+f\nSCQfuq+vsc/IoP6F555TXq9rUa3G2viIPvrMzFovldIY9y+lJAWetp4tbofvn21zPIKRNwF92bqV\n4q7JyVQHpXGHaGIi5VMXFNA/9qhRNCq2spLKBMyYAezaBeRV5sK5q3OT9i07W8LX4THEzpmEyLQR\nMLVLwr3CKkiZFIn5iQhyD8LCgIVY9Oci+Dr5IqU4BVZWkE3MbeIeBwC4W3gX3ay6obyqBnBMgplk\nOy6mzcXwHsO1uk43N0CbcX85OfIJswGK8wuJZu2Temk9Mssy0cOmlStN8ogO4dnztQZNa+oqLaXa\nNcnJVORq4cKmc4XGxFDYIiWFhsy/8ooE5uaUOjlpEpXTnTYNyFPonG3MjIETALdYmHidhUmnejhY\nOCCtJA15FfQ2MG3ANAx1H4rQ26FIKZFX2aqorUCZ/Tn4dhmPe4VUbex2bRgwexqq/L7BtP3TcOTO\nEQBUtApo/v5p49kzRqElxVG/us7jqg6+fuc42pu+W/m3UFXX/Oi9zLJMOFk4obNJy4cl8/3eNUeH\nMPYClDLXpw958/HxZLTr6miEJEdUFPDss5SR4uREGTDm5hT+4coVADSlmirPHqC4fSdxJzQ4XYW/\nqw/6OfTDnYI7Sg+IbZO2Ye7AuahrqMO7x9+F25duGPLtEPQUDYd7zXhZzZKS+lzA8Q762/nirzl/\nYdGfi7AwdCEcNjmgtqG22WvVxtinp5MnHx4uX9fSeVwF2o6pv0yFZK8EWWWqc25TilPgYevRyqr4\nRYcw9nyNsbWmrt9+owqVZWUUwjE3p/olJSW0/e5d2ufFF6kDbsQI0mdhQYOKhijUiOK8dFUMdhuM\nq69fBQBIeo1WaewdLByw75l9qKirwJaoLTj50knsemoXFrvsglluMCJTIgEApQ1UiKWvUy8EdQ/C\nibkn4GjhCDMTM9zIvdHs/XNzI8PdmLo6KmDGGHn0FhY0OQZAbz45OZonYNEWvn7nOB5VfWU1ZRj9\nw2glL/5G7g2kl6Zjcp/JCPouCAWVBU2OS8hLQD+HfkbVxnc6hLHv6Jw5Q7nic+aQMXvmGVpva0uh\nHMZopOv//R8NWPL0lM9UZG5OmTlKxr4yD84Wqj17kUgEHycf/HPUP7Fk6BL0s++Hu4V3kVeR1+Rt\nYELvCdj11C74OvtilMcoDOrljur7Q3C38C6KqopQLiVj38u2FwBgkOsgfBHyBWb5zkJsVmyz12tt\nTR22jStxJyTQqNhDh+iannmG6t4AVClxwgTt6+oLtA2/3PgFkSmRiMum/p0buTfg/29/2HSxwaeS\nT9HfsT+iM6Jxp+AOpEw+wO900mmM8RzTXLMdAqMZ+7S0NIwZMwa+vr7w8/PDtm3blLZ/+eWXEIvF\nrVIbn68xNmPpOnGCDDhABm7WLJrYwdaWCoVxxt7Ojoz9zz9Tp+zSpbT+iy/oGIlEIhvYpDg1XW5F\nbrOePceasWvQw6aHsmff6Jjjc4/j1cdflS336AGkp3TGU/2ewn/i/oMK5EEEEbzsvJSOG+I2BFHp\nUZBIJCiubtTxADL03t7U4azIvXs0OOqddyisNXs2vQEwRh7/okVqL0kn+Pqd43hU9R25ewRuVm6I\nSqc6zOdSzylt93XyxZG7R+D7jS9+vvYzAKBB2oCwpDCM69VM1TYDaeM7RjP2pqam2LJlCxISEhAV\nFYUdO3Yg8eF/X1paGk6ePAkPj44dQzMGhYXAxIkUl8/MpI7Vf/2LvFaA5jTlDLitLcXnly+ndEtu\nVOTIkfK6M9y+irHsvMqmXnpzyIx9RfOduhyurhRK+WDkB9gStQXlogws7PYVFgQsUNpvYp+JOHrv\nKLZGbYXrZldEZ0Q3acvHp2lGzv379KCbPJk8+nHjaP7UixepU3riRK0uSaANuZV/C689/hrWRK5B\nyL4QbL20FRvHb0T0y/Qd8HXyxTcx32BK3yl4/9T7yK3IRXx2PJy7Omtdwri9YjRj7+rqioCH095Y\nWlrC29sbmQ8Dqe+++y42bdpkrFM3ga8xNmPo4iYQ+eMPKg8cHExxeFXY2tI+gwYph2kU9VVW0t+c\n0QceevYaDDdHL7teSC9NR0ZZhsa3AXt7ip37OgRgoMtA5FqdxACbx5tMF9fPoR+szayx67ddGOUx\nCjdybzRpy9eX3moUuXePOqk3bqQUUnNzeoitWUOTlBiyBABfv3Mcj6K+2oZapBSn4IORH+Dyq5fx\n3vD3sGToErzy2CuylMqBLgNh28UWe6fvxYKABXj5z5dx6sEpjPcab1RtjwKtErNPTk5GXFwcgoKC\nEBoaiu7duz8yRdQeNaKjKd7+xx8Uomk8yYgitrZkALt1o4qA/73+X2SUZiAsKQw55TkAaCQsR2FV\nIf4T+x+klaRp7dl3NumM7tbU6+lupd6zEotpHEBuLrBy5EpAxODczAPizIIz2D55O8Z6jsWt/FtN\ntvv6yj37efNodqnYWCqkZm8PLFhA29zcKKSzcKFWlyPQhtwvvI+eNj1h1skMXnZemNRnEt4c8ibs\nzOXlT4O6B+He0nuw7WKLzySfIaMsA6sjV+M5n+fUtNwxMPqgqvLycsycORNbt26FWCzGunXrcPLk\nSdl2bmi8KhYsWABPT08AgK2tLQICAmTxMu7pqs2yRCLRaf/WXOYwVHsxMRIsXQq8/noEjh9vfv/t\nv27HXzU/oDrxCvoFJ2DgB8/jVv4tfP3m1/gu9js45Tnhg5EfyIx9REQENl/YjGjTaDzd/2k8iHuA\nJFGSVvr6OfRD6e1SnDlzRuP+Li4SxMUBFhZSuES+AY+xnir3vxlzEyZiEwxwHICFoQvhXe6NXna9\nZNtLSyMQGwuEh0tw/jxgaRmBtDRg1Cjl87m7SxAcDGRmRiAz03CfL7eurb9f7Unf6Qen4evsq/F4\ne3N72fKvM39FZEokpElSRCQZ5nr5ZE+4v5OTk6ERYxblqa2tZRMmTGBbtmxhjDF27do15uzszDw9\nPZmnpyfr1KkT8/DwYDk5OU2ONbK0dolUypirK2PJyYw9/zxj1tY0qYcqXvjtBWb2qSWDy1Vm8ak9\n2xG9g30W8RlbeWols1pnxWw32LJbebdYz55U/OpS+iXWbXM3VlyloSKZCj6L+IztjNmp1b7jx9P5\nfv6ZscBAxi5fVr9/UlESw6dgr/71qtJ6bqITf39qKzKSsT17mh5/4ABjf/+t5YUItCoVtRUstTiV\nZZdlM8YYe+XPV5QKmQk0RZ3dNJpFlUql7KWXXmLLli1rdh9PT09WUFCgWpgBjX14eLjB2jIkhtaV\nlsaYkxMZunfeIaO5b598+9G7R9nBhIOsoLKA2ay3YV0/t2UY8QUbvHEWY4yxH+N/ZOP2jmMOGx3Y\nush1LGBlABv3r9fZl/9qYEN2D2F74/caVK8qBg4k3V5ejPXpw9iNG83vy92/H+N/ZHN/n9tk+9Ch\nNKtWW8yWxNfvHMejoK/f9n6s99bebPah2exK5hXm/qU7u5Z9ra2l8freqbObRgvjnD9/Hj/99BMG\nDhyIwMBAAMC6deswefJk2T66TBggoJnoaOpoFYnkNV9sFfo2f0/8HWW1Zcgqy8KUvlNwOzMLsZ4R\ncOlKqY09bXridNJpDO8+HEuClmD1j6tR1SUeG195GTt/K8bcgXONfg0VFTTRdt++NHJXm3lYXS1d\nZcXTFHn5ZYrdi4XRJEYjvzIfFqYWsDA17ACF8tpy3Cm4A7FIjKzyLJxLPYflI5YrVa0U0A2jGfvg\n4GBIpVK1+zx48MBYp1dCMQ7IJwytKyaGOiIBubFXnLrvRu4N1DTUICE3AV9N+gp76g8itucvcLOm\nAmPccPLAboGw7GyJu1/eRcCuAFzKuIQBjgMgFhnfaoaF0e+CAs3Gnrt/zRn7V14xgkAt4et3jsNQ\n+vz/7Y++9n0xx28OBrsNxhB3FWldemDd3xq9b/XGHP85mDdwHjxtPWFqYmqQtlsK3z/b5hCqXrYj\noqOB96hcfBPPnjGGG7k3UFFXAU9bT0g8JYjPuo6fbpWgp4MrAMqWcTB3wMdPUKF7d2t3eNl54Wzq\nWfS00XHaJz3hZpfq2ZPq1mhTq6Y5Yy9gfPIr85Fdno3i6mLkVuQibH4YfJx8kFOeA0cLR5iITfRq\n92r2VYz3Go/VY1Zr3llAK9rNCy5jQH296m2NM1/4gqF1xcfLS/S6kv2WGfsHRQ9gZWYFe3N7LA5c\nDLFIDF9nGhbb352eDKYmpsh/Px8uli4yfT1teuJsSusZe0UkEgpJNQd3/xwsHFBSXYK6hhbMMm5g\n+Pqd4zCEvoraCpiKTXH0xaOIeSUGmydsxqSfJiGzLBOuX7ri4M2Derf914m/MNiNn/NA8v2zbY52\nY+x/+IFGQ3ZUSkqogiU3V2tjz/74/eMY7zUeq4JX4eXHXgYADHAkY+/p6NK4ORkeNh7IKMtoE2Ov\nLWKRGE5dnZBTkdPWUjoUV3OuwtvJG5P6TIJZJzPMHTgXs3xn4YXfXgAAiKB/n1xCbgKGd9du/gIB\n7dpSP8sAACAASURBVGg3xv7Onea38TXGZkhdyclUwEwkAmIyYrDv/hd44gkq7HUh7QI2nt+IyX0m\n493h78oGRPWw6QELUwt0s1I9z5xEIsHE3lRDwMOGf6UtFO+fbRdblFSXtJ2YRvD1O8fB6Vt9ZjWK\nqorU7wwKA34S8QlyK3Jl66LSozCs+zCl/VaMWIH8ynx0NumM0ppSFFcX45OIT5q0p+6cuRW5qOxe\nCW8nby2vpnXh+2fbHO3G2JuZtbWCtiU5GehFxSGx9NhSrAx7H2fOkPH/OPxjvBz4MmZ4z1A6RiwS\n48qrV2QjXFUR0jsEt9++3eSfmm+YdzJHVX3zk1cIKBOyLwQLQxdiS9QWXEy/2GT7oZuHMP7H8ej0\nOXXrbbu0DZ+f+RwX0+T7Xki7gBHdRygd52Lpghtv3sBbQ95CaU0pIpIjsDZyrVJJ4us51+H6pSsS\n8xpVqnvIxbSLCHIPapWEgI5Eu7mb6ow9X2NshtTFefYAvQJz3C+8j6s5V/H+yPdVztLDhXLU6evn\n0I+XabKK98/C1AKVdZVtJ6YRfP3OcZwKO4Uf4n9AUXURrucoz08pZVJ8HP4xCqsK0cAaEJkSibVn\n12Jq/6myWcQYYzifdh4je45U2b6NmQ1KakpwPu08GlgD4rPjZW2/dvg19LDuge/jv1c5gv5C+gV0\nK+DvrOZ8/2ybo0MY+/bOzZvAsmVA//40/ZqpiSnMO5mjrKYM38V9h3mD5sGsU/u+QXwz9nymtqEW\nJiITOFo4AgCu5yob+79u/wULUwtcefUKPG09seCPBdg4fiNCvEJwr4iMfXJxMkQQNRves+lCxv5C\n2gX0c+iHmEya//HbK99CJBLhrzl/4Zfrv+CPW380OfZi2kX4Ovka8pIF0I6MfWcVU0sWFdGk2Vw9\nFL5hqNjf5cvA1KnAW29RHHV49+HwsvPCnYI7+CH+B7wc+HKb6jMWivrMTc15Zez5fO8ySjPgPtAd\n/R36w9HCUcnYM8aw/tx6rAxeCZFIBJeuLkgqTsJoz9HoY99H5tlfSLuAET1GNPvGZ2NmIysv/Obg\nNxGTGYPs8mx8FP4Rdj21C95O3nje73lZexx1DXWIzYrFq8++qrJdPsDnz1Yd7cbYc6MkaxWmJo2O\nphmaLlxoG02txa1bNFG4SARcTL8oM/Y7Ynagt11v3nZ0GRILUwu1E04LyEkrTUMP6x7o69AXIV4h\nuFNwR5a2Gp0RjYKqAjwzgGa4cbF0gVgkRnfr7vB29MbV7Kuol9bjQvoFjOyhOoQDkGcfkRyBAY4D\nIPGU4HLmZWy7tA0v+L8gGwXr0tWlSQZVfHY8vOy8YG1mbaSr77i0G2Nf9zDFuqJCvo6bZ/TrryPa\nRJMmDBX7u3VLPpPUxbSLGNZ9GPyc/fDLjV8Q4hXS5vqMhRCz14+0kjR0TuuMCV4T8GTfJ9HTpifu\nFFA6243cGwjuGSwbDOXS1QVuVm7obNIZHrYe6OvQF6G3QnE+9TxG9BjR7DlszGyQXZ6NET1GwNfZ\nF2klaYjNilVKp2xs7PMr8zF1/1Q84fEEr+8fn7Wpo90Ye86jLysjw79gAc1AtHQpcP68fJo+bTh7\nFvj3v40i0yjcvg3060ex2PjseAx1H4pA10BU11cjsFtgW8trFfhm7PnM/aL76GbVDXP85+DFgS/C\n39lfFspJK01Tys5ysXRRist/JvkMrx95HfcK76n9btl0sQEAjOg+Ap3EneDn7Ifw5HCl8Rouli5K\nqZxnU87Cz9kPWyZuMdi1Cshpd8a+vBy4fh3Yu5dqq7z7LiAWS5rMR6qOM2foIdF4piNDY6jYX2kp\n1cC5mn0Vve17w8rMCgGuNEtYoKv+xp7vsUmlmH0nIWavLTGZMZgxSZ6Gq2js00vT0cO6h2ybu5W7\n0hzA473GI3R2KFaMWKEyu4vDxoyMPZet4+vsi9qGWmVj39VFNkkOAJxPO48xnmNgamLK6/vHZ23q\naDfGngvjlJdT+EYsBoYPB5ycgGnTgNBQ7dvKz6ewyOuvAxpqufGC2lrqoL6YflGWD9/bvjc2jt+o\nNoe+PWFhaiHk2TdDZlkmIlMiAVAH7KX0SxjqPlS23d/FH9dzrqO2oRapJalKxn7+oPlNPO0RPUbg\nE0nTgVKKdLPqhmn9p8na8nXyRSdxJ7hausr2ce7qrBTGUTVIS8BwtBtjrxjGCQsD1q2jEgoA4OkZ\nobOxf+89anPfPoNLlWGo2F9tLaWecp2zAA2Yen/k+y3Kj+d7bPJRitm3ZefxkTtHsPH8RgBASkkK\nOok74V6sPAuG8+yn/DwFJx+clM3nClCWk4OFg87ntOxsiT9m/yH7/vk4+aC7dXelwmjOXZ1RUFmA\nspoyMMaQkJcAf2d/APz+7vFZmzranbFfuxa4do1qmffuTeu8vID797VvKz+fast89BHw/feG12po\namrIs4/OiEaQe1Bby2kT+BbGUeRK5hUE7wlu1XOW15bjqf8+hcKqQmSXZ8vCJdEZ0RjqPlTJCfCy\n80JycTJSSlIAGKc0xhMeT+CriV8prTM1McUc/zlYHbkaWeVZMBWbapyUXkB/2k2JY87Yp6VRzN1B\nwRmZMkWC4mLqpNXG0c3Pp4mv/f2BuXNpAmxn7ebX1glDxf5qawFRp1qkl6ajl10vg7QJ8D82qaiP\nb2EcRW1Xc67iZt5NSJm01UoAbI3aiqP3juLXG78iuyJbVgKaM/YShbEnJmITRC6IRIBrAKzMrIyi\nx8LUAtMGTGuyfuP4jfD/tz962vSUzS8L8Pu7x2dt6jDqNy8tLQ1jxoyBr68v/Pz8sG3bNgDAihUr\n4O3tjUGDBmHGjBkoKWl5Aau6OhpFevZs0xroZmZUEbNSS8ePM/ZdutBMR7dvt1ie0WhoABpcYzB8\nzxB0NumMLp20mNqpHcK3MI4it/Jvobq+Guml6a12ztjsWMwfNB8/XvsR2eXZyK3IBWNMZuwbM8pj\nlNEMvTpcLV3xz1H/xDvH38FYz7Gtfv6OhFGNvampKbZs2YKEhARERUVhx44dSExMxIQJE5CQkICr\nV6+iX79+WL9+fYvPVVtLhtnVtem2iIgI2NoCxcXatcUZe4A8+txc9fvriz6xv5QUGix25Agt19YC\nndyu43rOddnw97bU15oo6uPbCFpFbbfyb0EsEsty2VuD9NJ0LAxYiKSiJESlR6FOWoe8yjzEZsVi\niNsQXn22bw15C99M+QarRq2SreOTvsbwWZs6jGrsXV1dERBAKYCWlpbw9vZGZmYmQkJCIH445DUo\nKAjp6S33eLiMlOaws9PO2FdX01uCpSUtu7gAOTwqk/7220BQEPDUU7RcWwuIne6AgRnc2D9K8M2z\n3xO/B9P3T0d6aTqi0qMw2mN0qxr7jNIMeNp64gX/F5BZlgkzEzOcfnAaPWx6yHLg+YKpiSleefwV\ndBK3m6gyL2m1Dtrk5GTExcUhKEi5A/H777/HlClTWtx+XV3zxl4ikWjt2WdmAt26UWy/ur4a9i6V\nSsb+5EndBmhx3L8P/P47oDjtrraxv9RU+chgl0bzjNTUAHAgI2JoY8/32GTjmD0fjP21nGs4k3wG\niV0TEXo7FBN/moj3R76PJ/s+ibuFd1tFQ720HrkVuXC1dMX8QfMBAH7Oflh5eiVGe4wG8Gh9tnyD\nz9rU0SqP0vLycsycORNbt26FJecyA1i7di06d+6MF154QeVxCxYsgOfDur22trYICAiQ3WjuVYpb\nzsiIeDiBiertDQ0ROHsWGDlS9XZuWSqVoFcvWt5wbgNSzYAn0o4iIuIMoqKAVaskSE0F7t9XfXxz\ny4sWRSAzEzAzk+D6deDMGe2PX7AAMDOLwAcfAEVFEkgktP30aaB/fwmkdnfRKbUTGsQNsnunSU97\nW85LyMON6BvIfj4brpaubaKnoq4CS24uwVD3oai6WwXkAVNGTMHyEcuxbt86XLx9EaC5YIyqJ7s8\nG1ZZVjh/9jwkEgmOvXgMsRdjUWdWh5WTV7ba/RCWjb/M/Z2cnAyNMCNTW1vLJkyYwLZs2aK0fs+e\nPWzEiBGsqqpK5XG6SnvyScb+/FP1tvDwcPbCC4zt26e5ne++Y2zBAsbu5N9hDhsdmP0adxYQcoOl\npDDm6cmYhQVjV6/qJI0xxpiPD2NxcYx5eDAWHy/X1Zi6OsZu3ZIvNzQwZmXFWLdujIWFMTZsGGPn\nzjFmY8NYYSFj9+4xJv4/GzZ492C27Ngy3YWpQZU+PtFY31tH3mIrT61sGzGMsQV/LGD+3/iz0XtG\nM5vXbFhiXiKTSqWMMcYS8xJZn219WkVHVFoUG7x7sNp9HrXPlk/wWZs6u2nUMA5jDIsXL4aPjw+W\nLVsmW3/s2DF88cUXCA0NRZcuhske0RSz1zaMw00CsubsGiwNWopeVt6If5AOb29g2DBgyBCgsFA3\nbfX1FL7p3x944QXg55+b33fTJnlRM4A6Yx0dgZ07gddeow5ad3fAyorKJJRWVoGZVMPHyQeO5v/f\n3nkGRHF1Yfhdeq8iooAVI4gCNhQbFkBRUWPsBWvUKPnUWBI1UWONPTExBktsUWOMDRAVBVTAShGx\nAVJFuvSlLLvn+7HZkaUpsgujzvMHdtq+OzPnzJ1zzz33043ZA8A3vb6BZ6hno0xPeD3uOm4l3sJB\nt4N4nPkY5aJyfGb4GZPP3ka/DZLzklEmLHvLkepPdnH2J91/w1E9cnX2wcHBOH78OAICAmBnZwc7\nOzv4+vrCw8MDhYWFcHJygp2dHb766qt6f5esYvZRL+Oh3PwJLsVcwtf2X6NNU2O4jEnDwoXArl2A\ngUFVZx+fE1+rEcfHi/sB1NWByZOBkyfFZRgkr2QVuXTpzf85OYCLi/gB4eYGWFsDqQWpyFd5Bh0d\n8WjhVwWpUCpphll2s+D2mdvbf2AdqE4fm6isr7V+awxtNxS/P2j4KnaXX1zGdNvpaGfQDln8LFj3\nsJYauKSiqIIh7YZg5KmRKCgtkKuW3JJc6Knp1brNh3Zt2QSbtdWGXGP2ffr0gaia4jIxMbLvqCor\nE+fS14SBAZCSUvsxsrIAb203RBUSpnaeCj01PZgbNENTt3Qs/690t75+VWc/+exkLOq5COM6jpNa\nXlwszvHfuBHo898Ayo4dxQO+bt4EqrtnHj588/+lS+JtNmwQf/7lFyDo17Gw2R8Me21inL1KWTP0\na9mv9h/3iTC/23ws9F2Ib/t8K7W8oLQARYIiqdossiQkOQTrB6yHnpoeVBRVqp3u8cy4M5jvMx8D\njw6EzyQfZuJ3WZNXkvdWZ8/x6fFRlUuoqWUfGBgIQ0MgO7v2Y8xfkYxywyjE5j9mCjIZaxrjeORx\n3Ei4AaBqy57+q+kRlRFV5XgaGkDXruJMnIolkydPFodyKnayAOLMmtJS8f8CAXDuHDBq1Jv1pqZA\nWwtxJ6y2trhln16UBlWBfObrrKyPbVSnz87EDs+znjOTcUj47f5vWHp1qVx0lJaXMqWleTwemmk1\ng0py1ZtRSUEJnsM9MaDVAMy4MEMuWoB3a9l/iNeWLbBZW218NM6+tjAOII57Z2VJL5M4VkBcPO1q\n9n6Y64jrgnQ16QpAXHP7UcYjeIZ5Aqjq7FMKUpBfml/F2UuObWYmHgClqflm3cSJ4jRMgbQ/QlKS\neHtDQyAtTZzmKcmnl6CpLD6QJGafwU+Fmpyc/YeIhrIGzHXN8SzrmdTyeyn38DSrDnWu60B4Wjja\nG7aHloo406yZVjOpUr4V4fF4WNl3JW4m3kRpeWm129SX3NJcpsQwB4eEj8bZ1xbGcXR0ZJy9xAnz\n+eKWcnS0ONzi/t0D8Lrvg9eki+hs3Jmp4S151Q5KCgJQNYzzOOMxVEub40689KTNSUniAmwXLwI6\nlWZYMzUFrKzEaZ4VkXQO6+sD//wD2NmJSzRXROJQmJh9USI0hfIpY8z22GRN+myb2SI8LVxq2f1X\n9/Es6xlEJPua1beTb0vN2nRgxAEsm7Ssxu311PTQoUkH3E25K3MtABezlzds1lYbH5Wzf1vL/t49\ncb2bR4/EnaRZWcC0v+dj9ObfkDdwKvaN/AWdjTvj4byHTOeaobq4olqZsAyhr0JhYCCeBvBBSjiE\nIiE2B22GctjXyChJQrmonPk+ieOuiS5dqk6OItnHwEBcbbNiCEeChrIGAEDrv5j9s4J7MCzt9vYT\n9AnRv2V/XIu7xnyOy4lDaXkp+AI+Fl5aKPPvu5tyV6raaCfjTlBVUq11n56mPRH6KlTmWgAuZs9R\nPZ+Esw8MDGRq3QDAiBHA+vXiVMa7on24orgQA6xsMMF6QpV9u7foDv5KPrYO3gr38+5o2a4YQWFZ\n6H6gC9zPu6NMIELh1aVQKjVGcl4ys198fO3OvkMHwN8/kPl87x7w5ZfiSpsGBuIHwciqRQKZB4qy\ndg5y8srxojgMxgL5lDVme2yyJn1DLYbicuxlCEXi/o2/o/7GF1ZfwN3GHQfCDuB28m2Z6ojKiEJn\n487vpE2CVRMrPMl6IlMdEnJL3h7G+VCvLRtgs7ba+GicvUBQezaO7n/3/nffiVvQCQnAuo0lgFAZ\n+klTcGjMbzXuq66sjimdp6Bj0444mfEd5m0MBgB4RXthWbujMDdThDCrNeJz4wGI48NHXq6EefVh\nWwBiZ5+U9Obzpk3Anj3iyp36+oCNDdC6mmrFRQJx3QQV/Qw8yY5EE6WW0FLm4rMVaaXXCua65kzr\n/tyzcxhrNRaHRx3GNqdt2HVHdnOcCoQCvMh5gc8MP6vTflZGVniSKe3sZVUV813COByfHh+FsxcI\nxPHrip2gFXF0dGTq2FeMgSeVPIJKfgd8oXjsrbPx8Hg8/D7sdxx5eATJWmdh+GwZbrjfxLUzreDk\nBCC3NR6/ikNeSR6cjzkjRHEzDJqW1ph/b2UFPH/uiI4dxfH5O3eAmTPF60xMgDFjqtdRWFYILRUt\nKLbzx/Xo22il1LPW8FV9YHtssjZ9s+xm4WjkUWTzs/Es6xkzF+pMu5m4Hn8dibmJVfaRdJhWzuSp\nCSLC2htroa6kDnVl9XfWBrxx9vRfoaXE3ERY/WbFvI3UBy5mL1/YrK02PgpnHxgozl/XfYcGbo8K\npbyfZD6BuVon9O//bt9joG6ADk06ICjrIoqf9cfeNTYICRGPetVHa0QmxWNN4BqM7TgWusW2iFDY\nD4OfDLD51maUlJdIHcvYWJySOXgwMHWqeIJzDXE4Hhs3At9+W40AiJ39LpddOBy3ASWGd6Cc1guq\ntYeHP0m6mHTB86zn8I/3R7+W/ZjJsbVVtTHDdgb23NsjtX2ZsAymu0wRkhyCptubVsnmqY79Yfux\n6/YujLceX2d9RppGUFJQYiYVicuJQ0FZAR5n1m+W+0sxl5DJz4SJNpehxSHNR+HsfXyq78yUIImx\nEQG9e79ZHvM6BlOGtMfkye/+Xa31WiO3JBffTLfA3bvA1aviGHtrJQdcTPgLJx6dwOZBm6Hx2h6B\nBfvR27w37qTcweCjg6tkgsTGBmLGDLGTrziIWE1NOiRFRDj79CyICEVlReht1ht8AR+iNlcQeUl+\nLXu2xyZr02ema4aX+S9xNe4qnNo4Sa2b120ejkceZ1rVABCWGoYsfhamnpuKlrot35qTH50djVX+\nqxD6ZSh+H1Z1xO67nLuKoZyE3AQAwN2X9cvQ2R+2Hz8P+ZnLs5cjbNZWGx+Hs8/dhpfNf611m4yi\nqjOQRGdHo71h+zp9Vxv9NlDkKeL7ha0REfEmLNRFfxBE5UpY57gOTTSagPfKHnFFkejfsj/OjT+H\nUmEpLj6/WOV4trbAy5fi2j01kcXPwpjTYxCcHMyEcayMrKCgXIbs55Zyc/YfMsaaxsgpyYFvjC+c\n2zpLrWurL56cOCnvTadJcJK4HyYuJw4nx5zE8+znuBJ7pcpxzXeZw+u5F6afn451jutgaWT53hor\nOvvEvEToquriUcajt+xVO/dS7qGPecPOd8vxYfBROPs44x3Ym+BRJVQiQfczXRhvN8aZJ2eklkdn\nR8PC0KJO39VGvw1a67eGsqKy1Hy2rVspYNzrCMzrNg8AUPpCnCFjYWABBZ4CRn02Cnde3pE6liT2\nJwnf1ISk43fXnV0oEhQxzt6hpT309RTkFsZhe2yyNn2KCoow0RKHMiqXLuDxeLA3tZfKcw95GYJu\nzbvBRMsEHZp0wA7nHVhydUmVt7Hk/GS4nXJDamEqc63rqk2CVRMrJmyTmJeI7i26M2Gd9yElPwUC\noeCdJgz/kK9tY8NmbbXxwTv7ggKAhOISP68KXlW7jW+sL7RUtOAT48MsIyLEvo6FhUHdnH0v016Y\naD2xyvK+fYHAq1rg8XggAnJjO0BXVZd5c7Bual1tSYV3IT4nHkPaDcGNhBvIK8mDpoomhrcfjsmd\nJmHYMHHYh6MqpjqmcG7rLFWQTEI/83648kLcciciBCcF4/t+32Net3ng8XgY0X4ElBWUERAfwOxT\nWl4KZQVlTO40GXO7zq335OF9zPvAL84PYalh8Hvhh/4t+yO96P2nRbubcpcp2cDBUZkP3tnfe5gH\nnnouuph0QRY/q9ptTnmfwlfdv0Jczptpol4VvIKWiladp2izNLLEjwN+rLLc3h7IyxPny+fnAxrq\nCgiZFcLkX1fn7N8l9pdakIo99/bAuqk1ZnWZBSUFJagoqmBUh1Fwt3XH9u3i8QLygO2xybfp62XW\nC2Msq09rmtx5Ms4+PYv80nzE5cRBSUEJI9qPwA/9fwAgbv2727jj9JPTzD6Z/EwYaRrh2OhjWNF7\nRb20AeKRvkQE52PO2Oq0FZ9bfo70wvd39jVNJv6++hoTNutjs7ba+GAnfYzPiUevg72QW1iCZrzO\naKqpW62zzy/NR+zrWEy3mY4Tj04wy98nXl8bCgriEsiffw4cPCiub2NlZMWsb63fGhlFGSgqK4Km\nSg05otXgGeqJ4ORgDGk3BO427kxsWULlaQo53rDNaVuN65ppNcOg1oNw8tFJaChroLd57yot4k7G\nneAV7cV8zijKQFPNpjJrOfN4PPz1+V9ort0cLfVaIpufXWsY51rcNZjrmtd4395LuYflvZfLRBvH\nx8cH27KXjFpsd+kFjg7yh5GGETKLMqts5x/vj779+6K9YXtkFmUycX1ZO3sAGDtWPGhr2DBx/fmK\nKPAUYKZrhuT8N6Ns3yX2F5sTC7fP3DDddjrMdM0QNDNIppprg+2xyfrqm2U3C8cijyE4ORgOpg5V\n1rfRbyP1Nihx9rLU1susF1rqiWPs+ur64Av4NfY9OR1zwme/fiZVlkOCUCTEg1cP3rll/7FfW3nC\nZm218cE6+7icOJiofIaMBEM49lFDE40m1bbsL8dehktbFygqKMJM1wxrA9fC/oA91t9cX+dRj+/C\nggXi0sQbN1ZdZ65rLpUB8i6EvgrFOsd1MNWRT7GzTxl7U3tEpkciKCmIGXRVETMdM6QWpjID4+ri\n7N8HBZ4Cmmo2ZTLHMosymVm30grToKemBxtjG+hu0UVgQqDUvs+ynsFYyxgG6gZy08fxYfPhOvvc\nOOTFt4GbG6CoCBhpGCGrWNrZExGuvLgCgzSxAfQx74OtwVsxw3YG/h33Lxb0WCAXbSNGABXmVWeo\n7OzfFvsjIsS8joFlk/dP76sPbI9N1lefgboB1JXVEZ8bDxtjmyrrlRWV0Vy7OXPN0gvT39nZv6+2\npppNmbi9/QF7dNsvLnJ3Le4aBrQagGk208AX8KuE84KTg9+5VV8ffQ0Fm/WxWVttyM3ZJycnY8CA\nAejYsSOsra3xyy+/AABev34NJycntG/fHs7Ozsh9l7kCqyEuJw4x99swg6maaDSpEsaJzo5Guaic\neU12becKdWV1TLedDntTe6aCZENhrvP2lv2OkB3MtHVFgiKoKqq+tYIix/vToUkH9GjRA8qK1RdW\naq3XGvE58Xjx+gV23dkF5zbO1W4nKwzUDZBTkgNA3NKPfR0LAPCL84NzW2d8bf81tg7eiujX0cw+\nrwpe4bvr32GGrfwmROH48JGbs1dWVsauXbvw+PFj3LlzB7/99huePn2KLVu2wMnJCdHR0Rg0aBC2\nbNnyXsd/kv4cieFtMWiQ+HMTjSbI5Es7+ysvrsClrQsGDBgAABjefjhOjjkJNaXGyVU01zVHYt6b\nmiyOjo4QCAU4+egkAHFFy5X+K3EjUTwrVmMXtGJ7bFIW+qyMrGodhGSqY4qw1DA4H3fGmv5r4NLO\nRa7a9NX1kVMsdvY2zcRvG8WCYvi98INTGycoKSihj3kfPM54U1bhYdpDdDXpisFtBr/z93wK11Ze\nsFlbbcjN2Tdr1gy2trYAAC0tLVhaWiIlJQUXL16Eu7s7AMDd3R3nz5+v87EzizKRmp8Bly6WUP+v\n/lQXky4ITgpGsaCY2e5a3DWp0ZPqyuoyn5S7Ltib2uN63HWpYlcvcl5g0tlJeJr5FHE5cSgTljET\npTS2s/8U2DRwU61plKY6plh/cz0GtxmMud3klONaAQN1A7wuFs+OI8njP//sPNSU1NDWQDzyt2PT\njnie/Rx8AR+AfJINOD4+GiT1MiEhAeHh4bC3t0d6ejqM/8sXNDY2Rnp6zXnF06dPR6v/isLr6enB\n1tYWjo6OCE4Ohuqjz9Dhs1sAHAEA8RHxaJvfFscjj2NO1zkIDAzE/ZD72OG8QyrGJnkqS5Y19Oem\nmk1xI/EGFBIVEBERge6fdwcALD+wHD2a94Cuqi7uvLyDwMBAPEp/xDj7xtAbERGBRYsWNer5amx9\nLbRboEhQBKN0IwQGBr7z/rt372bu17p8n76aPnJKchAYGIiXD18CyoBnmCes+dbM9+uo6qBDYQf8\n9NdPWDd9HWJex4CXwGsQfQ31mc362ORPJP8nJCTgrZCcKSgooC5dutC5c+eIiEhPT09qvb6+frX7\n1SZtTcAa0nZbTQkJ0svvvbxHJttNKL8kn4rKikhtgxoJhAIKCAio12+QJTtDdtL089OJiCgg+ozx\nygAAIABJREFUIIAuPLtAPfb3IL0terTw0kIaenwoWe+1JiIir+de5PqXa6NpZdN5q46G0Hfu6TnC\nWtD9lPt12u99tW25tYWWXl1KREQDjwyk9nvaE9aCTj06JbXd4fDDNPLkSNpzdw9hLcgn2qdB9DUU\nbNbHZm21+U25ZuMIBAKMGTMGU6dOxaj/elKNjY2RliYeOJKamoqmTeueypac+wr89BZo0UJ6efcW\n3eHU1gmbgzYjOjsa7QzaQUlBiXkasoEJ1hNw/tl58AV8ODo6IpufDcsmlhjdYTR+vfcrJlpPRGFZ\nIYDGD+Ow6bxVR0Pok6S81jVN9321VYzZFwuKmYF5lVNDR1uORkBCAHxifNC/ZX/0a9mvQfQ1FGzW\nx2ZttSE3Z09EmDVrFqysrJhXbQBwc3PDkSNHAABHjhxhHgJ1IT4rFYaqJlCqJgi1edBmeIZ6wjfG\nt0oBLDZgom0C+xb2uPDsAgAguzgbhhqGWOqwFKM7jIZzW2cUlYlno2psZ88hrpDpauEKbVXtBvk+\nSRgHAIrLxc7eVMe0yjgLHVUdOLd1xuXYy9jhvIOZiJ6Doybk5uyDg4Nx/PhxBAQEwM7ODnZ2drh8\n+TK+/fZb+Pn5oX379vD398e3Nc3SUQNEQEzqK5jpVT85Q3Pt5hjVYRR2393N5KdXjG+xgSmdp2Dn\nnZ2wXGaJlIIUGKgZwMrICmfHn4WWihZrWvZsO2+VaQh9+ur68Jnk8/YNK/G+2gzUDaRa9q7tXLFn\n6J5qt51kPQmKPEV0bNqxwfQ1FGzWx2ZttSG3Dto+ffpAJBJVu+7atWvvdIySEnFFx2fPxHO2AsCN\nG8DLvFQYvG5e436djTvjYPhBVrbsAWB0h9GY5z0PRVlFyI7Mliqspq6sjlJhKYQiIXJLcmGsyRW/\n+ZTQV9dnsnGKy4vRXLt5taN7AcDVwhUH3A40Wioxx4cFq0fQHjkinoXK0hKQjL264CUETzMTP31f\nsxO0bmoNAEzLnm0xNk0VTexy2YUts7Ygk58JQ/U3898q8BSgrqQOvoCPLH4W9NX1G00n285bZdis\n7321memYISE3ASISoVhQXGVu24qoKqliuu30BtXXULBZH5u11Qarnf3WrW9qzISGAllZwPGzmdBX\n18cQ5+pHPAJiZ6/AU2B17vGcrnOwuNdiNNVsiiYaTaTWaalooUhQhNDUUNg2s20khRyNgZGmEZpo\nNMHTzKcoLi+GulLNzp6Doy6w2tmbmACPH4vnZ33wAFi0CBjyRSpMa4jXS2iq2RSR8yKZUsJsjbGF\n3ArBzek3q4zg1FTRRHJeMhJyExrV2bP1vElgs776aHMwc0BIcshbW/b1gc3nDmC3PjZrqw1W17Pf\ntAm4eVM8T+uXXwLq6sC286nIfFi7swfwXp1WjcFnTaqm9GmpaMEvzg/2LeyhpMDqS8QhB3qb9caN\nxBsgEJQVan6D5eCoC7z/EvFZh3h6P7E0InHrfsIEIFb7IIKSg/DnyD8bWaH8cDjoACUFJQxsPRBr\nHdc2thyOBuZR+iO4HHdBfmk+ClcWNrYcjg+Iin6zMqwO40jg8YDffwf69xdX+GuuXXMmzseAlooW\nbr+8XWuBLo6PFysjKxQJiuQWwuH4NGG9s999ZzfCU8OZz6mFqTDRensYpyJsjbHVpEtTRRNEBPsW\n9g0rqBJsPW8S2KyvPtoUFRTR07SnXDtn2XzuAHbrY7O22mB9QPji84sQkQghySEQiAR4mvUUg1oP\namxZckVLRQu2zWwbbNQmB/vobdYbCbkJjS2D4yOC9TF7673W0FPTQ8zrGLhauOJy7GVcnXIVnYw7\nNbZEuTHPex7UlNSwe8juxpbC0Uj4x/tjud9yPPjyQWNL4fiAqC1mz3pnb7zdGBlFGVjTf80n01kZ\nlhoGbRVtWBhaNLYUjkaCiJBSkMLNPcxRJz7YDloRiZDNzwYAjOpQ94JpEtgaY6tJVxeTLqxw9Gw9\nbxLYrK++2ng8nlwdPZvPHcBufWzWVhusjtnnFOdAS0ULHvYe1U4IzcHBwcHxbrA6jHPu6Tl8e+1b\nPFv4rLHlcHBwcLCeDzaMM/nsZBhpGjW2DA4ODo4PHlY7+6UOS2VSppitMTa26pLA6Xt/2KwN4PTV\nBzZrqw1WO/t1juvgOdyz3seJiIiQgRrZw1ZdEjh97w+btQGcvvrAZm21IVdnP3PmTBgbG6NTpzc5\n8ffu3UOPHj1gZ2eH7t274/79+7Ueg8fj1VtHrqQYPstgqy4JnL73h83aAE5ffWCzttqQq7OfMWMG\nLl++LLVs+fLlWL9+PcLDw/Hjjz9i+fLl8pTAwcHBwQE5O/u+fftCX196piUTExPk5eUBED8hW7Ro\nIU8JAICEhAS5f8f7wFZdEjh97w+btQGcvvrAZm21IffUy4SEBIwYMQKPHj0CACQmJqJPnz7g8XgQ\niUS4ffs2zMzMqgqTQfiGg4OD41OjJpfe4IOqZs2ahV9++QWjR4/GP//8g5kzZ8LPz6/KdixN/+fg\n4OD4IGnwlr2Ojg7y8/MBiB26np4eE9bh4ODg4JAPDZ562a5dO9y4cQMA4O/vj/bt2TspOAcHB8fH\nglxb9hMnTsSNGzeQlZUFY2Nj/Pjjj+jUqRMWLFiA0tJSqKurY+/evbCzs5PZd0ZERKB58+Zo2rSp\nzI5ZX4RCIRQVFSESiaCgwL6hDdnZ2TA0NGxsGTWSnZ0NPT09KCoqNraUGklPT4exsXFjy6iWjIwM\nVtlDZUpLS6GqqtrYMj446uxP6CMhKiqKXF1dicfj0YsXLxpbDsP69etpyJAhjS2jWs6dO0dWVlZ0\n6tQpIiISiUSNrEiazMxMmjJlCg0ZMoREIhEJhcLGllSFqKgoGjZsGPXv37+xpVTB29ubmjdvTk5O\nTo0tpVrCw8Np4sSJtGDBAgoLC2PV/XfhwgV69uxZY8uowsWLF+mnn36iFy9e1Nke2NfMrCPl5eVY\ntGgRJk+ejGnTpmHo0KHw9vZubFk4f/48+vbti2vXrqG0tBTPnz9vbEkMjx8/hpubG44cOQJdXV1m\nLASbMqA2bNiA4cOHQ0NDA3fu3EFWVhar3or4fD6WLFkCd3d36OrqwtraGjk5OY0tCwAQFxeH4cOH\nY/fu3Vi8eDF0dXXx6tWrxpYlxdmzZ+Hu7o5BgwZBSUkJP/30E0QiUWPLgq+vL3r37o39+/dj2rRp\nOHDgAIDGTxjJysrC+PHjsXnzZsTGxmLBggXIysqq0zHYYz3vyatXr9CxY0fcvHkT48ePh4uLC/Ly\n8lBeXt5omg4fPoz9+/dj06ZN+Pvvv9GsWTPWvKbm5OTg1KlTGDBgAM6dO4f9+/ejrKwMr1+/bmxp\nAMRGFRAQgPj4eBw/fhx//PEHxo0bx/TzsIU//vgDCgoKePDgAfbs2YOrV69CSanxK4YTEa5du4bR\no0fDz88Po0ePBhFBXZ1dk5fHxsZi8ODBmDVrFr799lsoKiqirKyssWXh9OnTmDFjBry8vLB48WI8\nfPgQQOM3hB4/fozCwkKEhITA09MTRUVFdU5s+SCd/dWrV+Hp6YmkpCSYm5tjzpw50NHRAQAUFRUh\nMTERSkpKEAqFDaaptLQU6enpAIBRo0bBx8cHffv2hbGxMR4/foxbt24BQKO1Xm7dugWhUAh9fX2s\nX78eixcvBiA2urKyMmhpaTVq6+X58+dITEwEAAwYMAAHDx5Eu3btUFBQgPz8fKZV35DXtDKRkZHM\nG5qHhwe2b98OADAwMECbNm3w77//Npq2s2fP4tGjR+DxePjyyy8xa9YsAEDr1q1x9+5dhIeHA2i8\n++/q1avYv38/4uPjAQDW1ta4cuUKtm3bhk6dOiE9PR0LFizA3bt3G1RXaWkpMjMzAQCpqanIz8+H\nvr4+MjMzcfjwYZiYmDC229DcunULAoEAAKCtrY2kpCRcunQJW7ZsQUFBAU6cOIHo6Oh3Pp7i2rVr\n18pJq8wpLS3F/PnzcebMGZiZmcHT0xOqqqqwtLREaWkplJSUYGxsjO+//x7u7u7Q1NQEEcn9qbx1\n61asWLECYWFh0NLSQosWLaCmpgY+nw9lZWWUlJTgxYsXcHJyavAWQlBQEKZOnYqgoCCEh4cjPT0d\ntra2zPlq3bo1vvnmGwwePBjNmzdvkPNVEYFAgGXLlmHTpk3IzMzEmTNn4ObmBkB8vTU0NPDgwQP4\n+/tjwoQJjRLKyc7Oxrhx4/DPP//gxo0bUFdXR5MmTaClpQWBQACBQICYmBgYGhrC1ta2QbU9ffoU\nLi4uiImJQUxMDEJDQ9GlSxeoqqqipKQEysrKyMrKQnp6Ovr169fg919FmzU1NYWnpyc0NTUxYsQI\n2NnZ4cyZM1i6dCm2bt2K0NBQREZGwtLSErq6unLXJrHb0NBQaGpqwtbWFkSE0NBQfPnll+jatSts\nbGwwe/ZsDB48GCYmJg1iH5VtNicnB87OzjAzM8O5c+dw8+ZNHDx4EIGBgYiIiECTJk3QvHnztx73\ng2rZFxYWQiAQ4OLFi/juu+8wffp0zJo1C4WFhVBVVYVIJIKOjg5cXFyYFpi8L8zt27dx69YteHt7\nY8KECbh+/Tr27t0LANDQ0AAgvuElOhq6Zfrvv/9i3Lhx8PPzw7Rp0/DVV18hJSUFqqqqKC8vh6qq\nKsaPH88UpGtoZ/Dw4UPEx8fj7t272LVrF168eIElS5YAABMWGTVqFNTU1JCRkdGg2iT4+PjA3Nwc\nISEh+O6773Dz5k0cO3YMAKCsrAw1NTUUFBQgJCQEQMNe46CgIEyZMgU+Pj5Yvnw54uLi8NNPPwEA\nEzpUUlKCsrJyg2sDqrdZd3d3FBYWwsbGBpmZmbCwEE/BOW7cOERERDB2I08q262fnx+2bduGCRMm\nYPr06fjiiy9w6NAhTJ06FTNnzsTq1asBNIx9VLbZOXPmICUlBSNGjICamhrmz58PGxsbrF69GklJ\nSSguLgbw9n4F1jv7gIAA5lXl5cuXeP78OdO6s7Ozg4qKCnbv3g0AUFBQgLa2NuLj45mYvTxeWyvG\nFh88eACRSIQmTZrA1dUVAHDx4kWp19E+ffrgzJkzACD39EGRSIS0tDQA4vh8TEwM+vfvDwDo0qUL\nzMzMsGbNGkYLEUEgEDDnqSGcQXJyMvP//fv3YW5uDi0tLQDApEmTcODAAbx48YI5V3w+v8FDTenp\n6cx35eTkMJ2vffv2RVZWFq5fv46AgABm+5kzZyIyMhJ5eXlyvcbl5eWIjY1FSUkJAODu3buIiooC\nALRq1Qpqamr4+++/ERUVxTgma2trHDlyBID87z+gdpuVvHXs2bMHKioq6NKlC3x8fACI06bl2bdV\nm90qKiri33//RWRkJB4/foyUlBRm2759+8LS0lJuIbDabLZr164wMzPDDz/8AABo1qwZUlNTAQAt\nWrRAQUEBc27f9iBibRgnNjYWzs7OCA8Px+3bt8Hn8+Hi4oKgoCBcvXoVqampOHz4MFxcXPD7779j\n9uzZUFNTg4qKCq5du4a8vDw4OjrK9ElcXl6O//3vfzh9+jRiYmLQp08fGBgYwMvLC0ZGRmjXrh18\nfX1haGiIJ0+eYOjQoQAAPT09XL16FS1btkSrVq1kpqcye/fuhYeHB+7fvw8VFRXY2NggIiICly9f\nRuvWrREYGAgigre3N5ycnNCsWTPweDxERUXh+PHj+PLLL+UaJklMTMTkyZNx4cIFxMfHo1WrVrCw\nsMCGDRvQtGlTlJeX48aNGxAIBAgNDcWYMWMAAKamppg3bx6GDBkCU1P5TcINAHfu3MH48eMREhKC\ngIAADB48GIqKirhz5w6ys7OhoaGB69evo0OHDsjNzUXPnj2hoKCA2NhYPHnyBL169ZLbmIVTp05h\n5MiRiI2NxaVLl+Dq6oquXbti1apVaNGiBcLCwvDy5UtYWloiNDSUuf/U1NQQFBQEe3t7uY6nqKvN\nLliwAIaGhvD19cXu3bsRFhaG7du3o3Xr1jLV9a52q6enh5iYGHh4eODnn39GQkICzpw5g71792LO\nnDno0KH+EylVpiab9fX1lbJZHx8fjBw5EiYmJrhw4QJOnjyJ9evXo1u3bnB3d3+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1BvxPPvkEp0+fhr+/PwCgS5cuDjkBiqD+wApSGRPwPT3JV960qf5l+AwWaK3h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\nwKlTp6Cnp4dLly5h2bJlXD5uYWEhVq5ciby8PMhkMhgbG3OTksRiMbc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} ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(data.PEP, data.KO, 'x')\n", "plt.xlabel('PEP')\n", "plt.ylabel('KO')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 12, "text": [ "" ] }, { "output_type": "display_data", "png": 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Ma9ZooptIHqJYDZ/8XbqMZCSTOurRzxWo++vdXQDogfiDjCCRqlZWGxxVgM2i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\nUsLTpk3jbdu2MTP77hkys9NPz1AsO1W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} ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Normally, we'd run a statistical test for cointegration like the [Dickey-Fuller test](http://en.wikipedia.org/wiki/Dickey%E2%80%93Fuller_test) but we'll skip this here.\n", "\n", "Idea of the strategy\n", "--------------------\n", "Now, we can exploit this mean-reversion property of the integrated series as follows: Assume that PEP and KO drift apart, as they do Nov 1997. If we assume that they are mean-reverting we expect this gap to close again as the stocks prices come back together (which they do by Jan 1998). In other words, during this time where the spread is large, we think that PEP is overvalued, while KO is undervalued. We thus short PEP with the expectation that it will go down, and long KO under the expectation that it will go up.\n", "\n", "Estimating the regression coefficients\n", "--------------------------------------\n", "In this particular example it seems we can just subtract them but in reality it might be that the correlation is not 1. In our algorithm we thus estimate the regression between them in order to create a mean-reverting series using `scipy.stats.linregress(price1, price2)`.\n", "\n", "BatchTransform\n", "--------------\n", "However, Zipline is designed in such a way that we ever only have access to the current price. We thus need a window of past events. The `batch_transform` gives us this functionality. It is a decorator for a function which will, behind the scenes, aggregate the data and pass a `pandas` `Panel` (a 3D `DataFrame`) into our a function." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Warning: This algorithm is written to illustrate the core idea of pairtrading. \n", "# In reality, however, there are many more details we have to consider to make\n", "# this actually work.\n", "\n", "from zipline.transforms import batch_transform\n", "from scipy import stats\n", "\n", "@batch_transform\n", "def regression_transform(data):\n", " \"\"\"Computes regression coefficient (slope and intercept)\n", " via Ordinary Least Squares between two SIDs.\n", " \"\"\"\n", " # data is now an array containg all past events up until now\n", " pep_price = data.price['PEP']\n", " ko_price = data.price['KO']\n", " slope, intercept, _, _, _ = stats.linregress(pep_price, ko_price)\n", "\n", " return intercept, slope\n", "\n", "\n", "class Pairtrade(zp.TradingAlgorithm):\n", " \"\"\"Pairtrading relies on cointegration of two stocks.\n", "\n", " The expectation is that once the two stocks drifted apart\n", " (i.e. there is spread), they will eventually revert again. Thus,\n", " if we short the upward drifting stock and long the downward\n", " drifting stock (in short, we buy the spread) once the spread\n", " widened we can sell the spread with profit once they converged\n", " again. A nice property of this algorithm is that we enter the\n", " market in a neutral position.\n", "\n", " This specific algorithm tries to exploit the cointegration of\n", " Pepsi and Coca Cola by estimating the correlation between the\n", " two. Divergence of the spread is evaluated by z-scoring.\n", " \"\"\"\n", "\n", " def initialize(self, window_length=100):\n", " self.set_slippage(FixedSlippage())\n", " self.invested = False\n", " self.regression_transform = regression_transform(refresh_period=500,\n", " window_length=window_length)\n", "\n", " def handle_data(self, data):\n", " # 1. Compute regression coefficients between PEP and KO\n", " params = self.regression_transform.handle_data(data)\n", " if params is None:\n", " self.record(buy_spread=False, sell_spread=False)\n", " return\n", " intercept, slope = params\n", "\n", " # 2. Compute spread\n", " spread = (slope * data['PEP'].price + intercept) - data['KO'].price\n", " \n", " buy_spread = False\n", " sell_spread = False\n", " # 3. Place orders\n", " if spread >= 5.0 and not self.invested:\n", " # Stocks drifted apart, long one, short the other\n", " self.order('KO', 100)\n", " self.order('PEP', -100)\n", " self.invested = True\n", " buy_spread = True\n", " elif spread <= 2. and self.invested:\n", " # The spread is closing again, exit positions.\n", " # ???\n", " # Profit!\n", " self.order('KO', -100)\n", " self.order('PEP', 100)\n", " self.invested = False\n", " sell_spread = True\n", " \n", " # Record spread for later analysis\n", " self.record(spread=spread,\n", " buy_spread=buy_spread,\n", " sell_spread=sell_spread)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "# Run strategy\n", "pairtrade = Pairtrade()\n", "results = pairtrade.run(data)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "[2013-07-27 13:23] INFO: Performance: Simulated 356 trading days out of 356.\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-07-27 13:23] INFO: Performance: first open: 1997-01-02 14:31:00+00:00\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "[2013-07-27 13:23] INFO: Performance: last close: 1998-06-01 20:00:00+00:00\n" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "ax1 = plt.subplot(311)\n", "data[['PEP', 'KO']].plot(ax=ax1)\n", "plt.ylabel('price')\n", "plt.setp(ax1.get_xticklabels(), visible=False)\n", "\n", "ax2 = plt.subplot(312, sharex=ax1)\n", "results.spread.plot(ax=ax2, color='k')\n", "ax2.axhline(2, color='k')\n", "ax2.axhline(5, color='k')\n", "plt.ylabel('spread')\n", "plt.setp(ax2.get_xticklabels(), visible=False)\n", "\n", "ax3 = plt.subplot(313, sharex=ax1)\n", "results.portfolio_value.plot(ax=ax3, color='k')\n", "plt.ylabel('portfolio value')\n", "\n", "# Plot spread enter and exit markers\n", "enter_pos = results.index[results.buy_spread]\n", "exit_pos = results.index[results.sell_spread]\n", "for ax in [ax1, ax2, ax3]:\n", " ax.axvline(enter_pos, c='g')\n", " ax.axvline(exit_pos, c='r')\n", "plt.gcf().set_size_inches(16, 12)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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kdu/enWg/pVKJffv2oXnz5gZqqZC5K6ZB4mT8JEamQeJkGiROpkNixd6+BfLk4YRQGxYW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tY1Pj4eAPDhwwe0bFnz4emvvL2CziKjwOMBxsYVb9+6SWu4/OEC91HucHjsAIMjBvCL8SuoF5AA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\njI+PD7Vr1+bgwYN8880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} ], "prompt_number": 15 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Optional: Zipline version of Google Strategy" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Load Preis data\n", "data = pd.read_csv('data/GoogleTrendsData.csv', index_col='Date', parse_dates=True)\n", "data.index = data.index.tz_localize(pytz.UTC)\n", "data.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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djiadebt
Date
2004-01-14 00:00:00+00:00 10485.18 0.210000
2004-01-22 00:00:00+00:00 10528.66 0.210000
2004-01-28 00:00:00+00:00 10702.51 0.210000
2004-02-04 00:00:00+00:00 10499.18 0.213333
2004-02-11 00:00:00+00:00 10579.03 0.200000
\n", "
" ], "output_type": "pyout", "prompt_number": 16, "text": [ " djia debt\n", "Date \n", "2004-01-14 00:00:00+00:00 10485.18 0.210000\n", "2004-01-22 00:00:00+00:00 10528.66 0.210000\n", "2004-01-28 00:00:00+00:00 10702.51 0.210000\n", "2004-02-04 00:00:00+00:00 10499.18 0.213333\n", "2004-02-11 00:00:00+00:00 10579.03 0.200000" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "# window length of 3 as in original publication\n", "delta_t = 3\n", "\n", "class GoogleTrends(zp.TradingAlgorithm):\n", " def initialize(self):\n", " # Moving window. Defining maxlen causes the window length \n", " # to remain constant as old events get dropped once full.\n", " self.window = deque(maxlen=delta_t)\n", " # Turns off slippage to simplify simulation.\n", " self.set_slippage(FixedSlippage())\n", " \n", " def handle_data(self, data):\n", " window_full = len(self.window) == delta_t\n", " \n", " # Extract debt search volume. \n", " # 'price' is the default field used if no further information is supplied.\n", " debt = data['debt']['price']\n", " \n", " # Exit any prior positions\n", " if 'djia' in self.portfolio.positions:\n", " self.order('djia', -self.portfolio.positions['djia']['amount'])\n", " \n", " # Moving average cross-over logic\n", " if debt > np.mean(self.window) and window_full:\n", " self.order('djia', -100)\n", " elif debt < np.mean(self.window) and window_full:\n", " self.order('djia', 100)\n", " \n", " self.window.append(debt)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 } ], "metadata": {} } ] }