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@chandinijain
Last active September 8, 2023 06:06
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Single-stock mean reversion\n",
"\n",
"Mean reversion in the context of a stock price implies that periods of the price being far below the mean are followed by periods of the price going up, and vice versa. We can take advantage of this by buying the stock to go long when the price is lower than expected, and selling to go short when the price is higher than expected. Below we plot the price of a stock - 'PG' along with the mean of the prices up to each day to see whether the price reverts to the mean."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\Chandini\\Miniconda3\\envs\\auquan\\lib\\site-packages\\matplotlib\\__init__.py:1401: UserWarning: This call to matplotlib.use() has no effect\n",
"because the backend has already been chosen;\n",
"matplotlib.use() must be called *before* pylab, matplotlib.pyplot,\n",
"or matplotlib.backends is imported for the first time.\n",
"\n",
" warnings.warn(_use_error_msg)\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reading PG\n"
]
},
{
"data": {
"image/png": 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FbbbDRBxp66SLaTGtcVjxik1t2N87gY4697THVzIGNSKiBeDkYOqKo6qqBStm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\nIiIiIiIi08z/Dx9G2xJUzPTpAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x93e0e80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib\n",
"matplotlib.use('TkAgg')\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"import auquanToolbox.dataloader as dl\n",
"\n",
"# Load the prices data for a stock\n",
"start = '2013-06-01'\n",
"end = '2016-12-31'\n",
"m= 'PG'\n",
"data = dl.load_data_nologs('nasdaq', [m], start, end)\n",
"prices = data['ADJ CLOSE']\n",
"\n",
"# Compute the cumulative moving average of the price\n",
"prices['mu'] = [prices[m][:i].mean() for i in range(len(prices))]\n",
"# Plot the price and the moving average\n",
"plt.figure(figsize=(15,7))\n",
"plt.plot(prices[m])\n",
"plt.plot(prices['mu']);\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that since we are computing the running average, \"reverting to the mean\" does not necessarily mean going as high or as low as it did before.\n",
"\n",
"In order to trade using this strategy, we need to quantify what it means for the price to be higher or lower than expected. It's useful to compute the z-score of the price on each day, which tells us how many standard deviations away from the mean a value is:\n",
"$$ z = \\frac{x - \\mu}{\\sigma} $$\n",
"\n",
"where $x$ is the value, $\\mu$ is the mean of the data set, and $\\sigma$ is its standard deviation. So a price with a z-score $> 1$ is more than one standard deviation above the mean, and we will sell short when this happens. If the price on a day has a z-score $< 1$, we will buy long. If the price is within half a standard deviation of the mean, we will clear all positions."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\Chandini\\Miniconda3\\envs\\auquan\\lib\\site-packages\\ipykernel\\__main__.py:2: RuntimeWarning: divide by zero encountered in double_scalars\n",
" from ipykernel import kernelapp as app\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"17705.496508\n"
]
}
],
"source": [
"# Compute the z-scores for each day using the historical data up to that day\n",
"zscores = [(prices[m][i] - prices['mu'][i]) / np.std(prices[m][:i]) for i in range(len(prices))]\n",
"\n",
"# Start with no money and no positions\n",
"money = 0\n",
"count = 0\n",
"for i in range(len(prices)):\n",
" # Sell short if the z-score is > 1\n",
" if zscores[i] > 1:\n",
" money += prices[m][i]\n",
" count -= 1\n",
" # Buy long if the z-score is < 1\n",
" elif zscores[i] < -1:\n",
" money -= prices[m][i]\n",
" count += 1\n",
" # Clear positions if the z-score between -.5 and .5\n",
" elif abs(zscores[i]) < 0.5:\n",
" money += count*prices[m][i]\n",
" count = 0\n",
"print money"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The danger of applying mean reversion to a single stock is that it exposes us to the movement of the market and the success or failure of the individual company, among other factors. If there is a persistent trend affecting the price of the security, we will find ourselves consitently undervaluing (if the price is moving steadily upward) or overvaluing (if the price is falling) the asset. Below we discuss two strategies that mitigate this risk."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Mean reversion portfolio\n",
"\n",
"Instead of taking the mean of the historical returns on an asset, we can look at the mean of the returns on all of the stocks in, say, the S&P 500. Hypothesizing that the worst-performing stocks last period will do better this period (that is, they are likely to be undervalued) and vice versa, we go long in stocks that performed poorly and short in stocks that performed well.\n",
"\n",
"This approach has the advantage of being market-neutral, so that we do not treat stocks as undervalued just because the market as a whole is falling, or overvalued when the market is rising. Furthermore, by including a large number of securities in portfolio, we are likely to encounter many cases where our prediction is correct.\n",
"\n",
"To construct a portfolio which takes advantage of mean reversion, we first select a universe, such as all S&P 500 stocks or the top-traded stocks on the NYSE. From this universe, we rebalance our portfolio every period (say, every week) by going short in the stocks in the bottom 20% of returns over the last period and long in the stocks in the top 20% of returns. If a stock is in neither of those quintiles, we do not include it in our portfolio.\n",
"\n",
"We can construct a toy example using sector ETFs instead of a large basket of stocks:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reading AAPL\n",
"Reading AIG\n",
"Reading C\n",
"Reading T\n",
"Reading PG\n",
"Reading JNJ\n",
"Reading EOG\n",
"Reading MET\n",
"Reading DOW\n",
"Reading AMGN\n"
]
},
{
"data": {
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irpdjNUrpyfzUqdB5qvScOdDQAN99Z6vIhLWYqvI9nSt/soCAAFxdXcnKysJo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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x93cc278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Fetch prices data for 10 stocks from different sectors and plot returns\n",
"start = '2016-12-01'\n",
"end = '2016-12-31'\n",
"assets = ['AAPL', 'AIG', 'C', 'T', 'PG', 'JNJ', 'EOG', 'MET', 'DOW', 'AMGN']\n",
"data = dl.load_data_nologs('nasdaq', assets, start, end)\n",
"prices = data['ADJ CLOSE']\n",
"returns = prices/prices.shift(-1) -1\n",
"returns.plot(figsize=(15,7), color=['r', 'g', 'b', 'k', 'c', 'm', 'orange',\n",
" 'chartreuse', 'slateblue', 'silver'])\n",
"plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
"plt.ylabel('Returns')\n",
"\n",
"# Convert to numpy array to make manipulation easier\n",
"data = np.array(prices);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We hypothesize that the stocks which do well for the first week will regress after another month, while those which do poorly at first will appreciate in value."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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ZmmQxm4ur6vuTnDU0XdbdfzLdsgAAAJiVSWYU091vSfKWKdcCAADAYWC/QbGqPpukF9uV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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x93e0518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# For each security, take the return for the first week\n",
"wreturns = (data[4] - data[0])/data[0]\n",
"# Rank securities by return, with 0 being the lowest return\n",
"order = wreturns.argsort()\n",
"ranks = order.argsort()\n",
"\n",
"# For each security, take the return for the month following the first week\n",
"# Normalization for the time period doesn't matter since we're only using the returns to rank them\n",
"mreturns = (data[-1] - data[5])/data[5]\n",
"order2 = mreturns.argsort()\n",
"ranks2 = order2.argsort()\n",
"\n",
"# Plot the returns for the first week vs returns for the next month to visualize them\n",
"plt.figure(figsize=(15,7))\n",
"plt.scatter(wreturns, mreturns)\n",
"plt.xlabel('Returns for the first week')\n",
"plt.ylabel('Returns for the following month');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The returns look like they could be anticorrelated, but what would have happened if we had followed the mean-reversion strategy when we examined the past week's returns?"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Going long in: ['AAPL', 'T']\n",
"Going short in: ['EOG', 'DOW']\n",
"Yield: 12.320874\n"
]
}
],
"source": [
"# Go long (by one share each) in the bottom 20% of securities and short in the top 20%\n",
"longs = np.array([int(x < 2)for x in ranks])\n",
"shorts = np.array([int(x > 7) for x in ranks])\n",
"print 'Going long in:', [assets[i] for i in range(len(assets)) if longs[i]]\n",
"print 'Going short in:', [assets[i] for i in range(len(assets)) if shorts[i]]\n",
"\n",
"# Resolve all positions and calculate how much we would have earned\n",
"print 'Yield:', sum((data[-1] - data[4])*(longs - shorts))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Pairs trading\n",
"\n",
"In pairs trading, the quantity we are examining is the distance between two securities, which we expect to revert back to its mean. For this to be a reasonable assumption, we need the two securities to be statistically <i>cointegrated</i>. In practice, two companies whose products are substitutes for each other are often cointegrated. That is, they generally move together due to shifts in the market and in their specific industry, and move little relative to each other.\n",
"\n",
"How do we incorporate the prediction about their difference into our portfolio? Suppose we are looking at two securities X and Y. Then we go long in X and short in Y when the two are closer together than expected, and short in X and long in Y when the two are far apart. In this way we remain neutral to the market, industry, and other shifts that cause X and Y to move together, while making money on their difference reverting to the mean. We can quantify \"closer than expected\" as the difference having a z-score of less than -1, and \"farther apart than expected\" as a z-score greater than 1. This is easier to picture if X's price is higher than Y's, but the end result is the same in either case.\n",
"\n",
"Using the `coint` function from `statsmodels`, let's check whether HP and Microsoft stock prices are cointegrated."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reading MSFT\n",
"Reading HP\n",
"0.963589073908\n"
]
}
],
"source": [
"from statsmodels.tsa.stattools import coint\n",
"start = '2012-01-01'\n",
"end = '2016-12-31'\n",
"# Load prices data for HP and Microsoft\n",
"data = dl.load_data_nologs('nasdaq', ['MSFT', 'HP'], start, end)\n",
"X = data['ADJ CLOSE']['MSFT']\n",
"Y = data['ADJ CLOSE']['HP']\n",
"# Compute the p-value for the cointegration of the two series\n",
"_, pvalue, _ = coint(X,Y)\n",
"print pvalue"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The p-value is low, so the two series are cointegrated. Next we need to find the mean of the difference. We'll compute the cumulative moving average - that is, the average of all the values up to each day - as though we were looking at the data every day without knowing the future."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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mWCgSxe9fPzERuzqtJCqz/NELh/GlR/YAAErTHIpeWyyVJf7pzZNJb9PnDakd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\ncvGsaknSBYtnamZ1Y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"text/plain": [
"<matplotlib.figure.Figure at 0xb20ac88>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot their difference and the cumulative moving average of their difference\n",
"val = pd.DataFrame(index = X.index, columns=['diff','mu'])\n",
"val['diff'] = X - Y\n",
"val['mu']= [val['diff'][:i].mean() for i in range(len(val['diff']))]\n",
"plt.figure(figsize=(15,7))\n",
"plt.plot(val['diff'])\n",
"plt.plot(val['mu'])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In some cases, we may instead want our mean to refer only to the moving average, excluding data from too long ago. Below we can see the difference between the cumulative moving average and the 60-day running average."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\Chandini\\Miniconda3\\envs\\auquan\\lib\\site-packages\\ipykernel\\__main__.py:1: FutureWarning: pd.rolling_mean is deprecated for Series and will be removed in a future version, replace with \n",
"\tSeries.rolling(window=90,center=False).mean()\n",
" if __name__ == '__main__':\n"
]
},
{
"data": {
"image/png": 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rOXmHrreGrJkTQgghhOhCdhVXEWs2kJ0YSX55fena/mM1VFjsxEcaGx1j82RI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FVTuGTIebzxtZfhZw0Dmqvg1Ta5ibe3L3gI3JgJFKvpGx/B5sIm/nHFw9w49gAvb36ZZzc8y4e7\nP2RqxlSuG32drsUbTnjmCBh7mdbSoGQT/PAvyHsF1rykrf04825tbZ3cje5WRdUOvD6V7AQ7dmtV\ncGphk9uL1RzeYM7tc7OuZB3nDTgvrMcJyE2LIr+krtXnthTV8Lv3NgFgNir8+UcjOe2hL1vsc9L3\nrOztvG4tu3Zog7Zu7WCeNjXSeViJfmuslmVLHATDLtBmHESna+uF7fIZILqffKp2UHWji292lpMR\nF8FB/+LoJdtKUVX1iJ4ye8sbAO3iELQyx86QaZaV9Vowd895w7hics7RD1pfCm9cCCWbtapycx/U\n8RWJ7pYUZQ1O+8lMOHpfJL1cM/IaPtj9AY/kPcKrc19tdf1KWZ1WXGRLUQ3TBicHi40kRbU/y9LZ\nQiLPbXyOd/LfYcHgBVySewk/fmo/+fujgUrS/FnvQNGDWkdHgjkPNrMBs1E7zzOHpPDayn0s31nO\nReMH8dDpDzEraxbv73qf/+78L0v2LeGJmU8wKmmU9JEKZbJo2bqM8VoRlQOrYNXz8OGN8MltMHgO\nnHUfxGV295melPZXNgJa+xC7xRS82djo8gRvZITLlvItNHoawz7FMmBQSjRv5x2gutHFoRoHQ/s0\nZ0saQ9atGw0G0mNtnDUslSaXl2/9N9VGt3Xtuuj5ag/Bge+1tWwlW7U+m1UFzSX7LVHQZzSMvlSb\nFhmfrWXZolK1NWzyHi96MAnmOqigohGvT2VS/0TeW1cY3L6moIqJ/RJwerxY/b1pfthfTbTVRL/E\nwJo5Aw63j+pGFzazkUr/NMvJA5JavxPocWl3jxb/Vnvzmf80DL9QuxMueo1AtuuUnHg2FmqNxd1e\nNWyNfCPNkVw3+jruXXkvF35wIU/MfIL+sc1TIGsa3ezw39WubdIyheX+Gw9JbZhmqZct5Vt4YeML\nfHngS84fcD53TboLRVEYkVHD8p3aRdfIvlq1zMDvyu1tnsa8paiGu97fzH0XjGB4euyRB/BrdHmx\nW0yY/RXBctNiSIqysnxnGRf5Cx7Myp7FrOxZ5Fflc/2S67ls8WUMih/EA6c9wNDEo6+lOWnFZWqP\nERdpvet2f6ll7PI/h0Fnae9jw+bLhVIXqnVo63ri7WbsVhMNTg9Ojxe3V8VuCW+7jiX7lgAwIW1C\nWI8TkJsWTaPLy+QHv6TJ7W3RCsXlaX6PMBsVFEXhxSsmsGx7aTCYe+zS0UeMKU4AXjdU7II9X2v9\ndit2aYVJAiKTIGsS5J6t3XTKmqJl2OR9SJygJJjroFL/3cyshJbTIpftKKVPrI3T/7KMRxaMZmJO\nAv9ZV8j03ORgoBZognz2E8s5b3Q6xTUOjAaF1JhWLpCL1sObP9X6j0QkwI//Df2nh/nVie7wsyk5\nTMiO52B1E2sKqnjluwL++tkOlv9uRtiCp4sHXUySLYm7V9zNnd/eyRtnvxHsv/b8N7uDZb0D/y2v\nC2TmuiaYW3VoFTd9eRMRpgiuGnEVN465MZgFe2TBaH71r3UcrGpioL96nNn/byxQpQ5gydZS1u2v\n5o2V+3jooqNXpWx0eYmwGLll9mDqnR7OH5POf38oDGYuQg2OH8x7573HZwWf8cKmF/jp4p+yYPAC\nzhtwHiOSRuj5K+gdFAWGnKs9pvwavnpIu8ja+r72fjZqIQyaDfbE7j7TXs8TUo7fbjXS4PLS6Gw5\nxTgcNpdv5p/b/sn5A84nwdY1zecD/eCa/DNh1h+o5q01B/jzhSOoczQXqwidNRD6O4ixydrYE4LX\no80AKN4Ie77SbhoFMm6JAyF5iFZfYOCZWrYtQjKuoneRYK6DSvwXtYdPh6uod/L0sl0AfL+nglV7\nKgC4d37zBZ7NbOT7PRX4VHjhmz0A3HzW4GD1LQB2LYWdn8Pa17Q7Rgtehf4z5E2oF8tMiCQzIZL3\n1mqZ3ns/2grAtkO1nD4oPFUUFUVhRtYM/uD9A7d9cxv/3PZPrhx+JbUON2+s3MfZI9LYUVwXLO8d\nnGYZ5ka4e2r28OLGF/m84HOyYrJ4cfaLR6xPS42x8e51k3G4fZj8hRsC//WEBHP5pVp2MTTAa02j\ny4PdYiIlxsbTP9UqNUbbzJS0EswBxNniuHTIpczOmc1Dqx/i3fx3eWvHWzwx4wmmZU7r2As/GcRn\nw4XPgs8Lef/Qijnt+UrrlTT9DzDsfG1akwiLQC80o8HgL8fvocHfX81uCd8lwaN5j5IYkdjhligd\nMeiwisAXPP0dAH84Z0iLYmOmkP5cbe7vKrqPqxH2r4Bt/4OaQji0ERq0olXEZsKEq7UiJBnjtZ6Z\nQvRy8q7VQaW1DgwK9IltDuZSoq28ndc85bK83snyneVcOTmH1JjmfiE2swFfyHXllAGJ3DDD/4aj\nqtpd668fAnMk9Dtdm1YZFd7KX6LnSDhsrdfu0vqwBXMBc3Pm8sneT3g071E2l28mw3sZdU4P108b\nyN0fbm7OzPmDucR2rkdrj8K6Qq757BocHgfzBszjN+N+Q7wtvtV9FUVp0dPO5F/v5vaFTLM8qC1m\nr3cevd8UNGfmQkXbTOwqPXYxmnhbPA+f8TC1rlqu/fxabvn6Fu6Zcg9zsudgNsqd/aMyGGHiL2DC\nz7UCBEvugU9/pz0GngUz74DkodJrSWeeFo2yTTS6vMGCS+HKzDk8DtaXrefyoZe3uxVKZ8TYzKTH\n2iiqaXlDxu1VqWsRzDVn5iSY62G8bi3jVlUAxZu16dplOwBVK0yS2F/r0zb8AsicBNGp3X3GQnQ5\nedfqoNomN9E2M5EhF3994iIo9WfsDAp8taMMgF9Oa1mK3WYKvWBUufX0JIwH87S71Ds/0xpMjv6J\nVqnS1HVrk0TPEFq4I9FuYe3+an52WniPqSgKf576Z3639HE+3fsunoY9TB30W0b2jSU2wkxlg4u3\n8w6Qt6+KGJupXeW626rGWcMHuz7g39v/jdPr5PWzX2dgfPvuqgbWu7n962EOVjdRUKEVfKg7TtuP\nBqenxb9n0IK50OlYxxJjieHZWc9yzefXcPvy23l508u8cfYbRFmkVPkxGYxaz7orPtB6Ne1eplXr\nfWG61lh3ws9h1j1gld+jHrz+Gx1Gg0KUVft7DxQ6irSGZ83cpvJNeHwexqeOD8v4xzIoNfqIYM7l\n8bX4dx24CQRgD9PvQLSB162tbTu4DvZ+A1V7te8d/uqSisEfuF2oFSsZMFOukYRAgrkOc7h92MyG\nFsUp0mNtbDgAZw1L5YutJcHtoVk5VJVZ1W/xK8v72EwKcd4Kot70f9CYI7ViAANnaQUDZDHuSSkh\nZLrt7OFpfLD+IE2tZI30lF9Sx5X/WM2hmrGY41zY+vyX/eY/cse3p5AUN4sVux3c9u5GAPon23U9\ntqqq5JXk8Ydv/0BxQzE5MTk8febT7Q7kgGAlykD2YYW/kEFajO2Y7R5Kah1sPlgbLHQSEG0zU+fw\ntFqltjXxtnjenvc2X+z7gt8v/z13r7ibR6c9KtUu20JRtFLffSfAuCtg37daAYM1L8H2jyDndDj1\nl9rzosNaZOb80ypLa7VgLlxZqXUl61BQjtoCJZxy06L5Or+sxTa318eh6uYAr8U0S5tcFnUZVdVu\n4OxboWXnd37R3BYgKg2SB2utAPpPh6TBEJ8jN3WEaIW8a7XBwcL9ZGRktgiuHB4vNrOxRTAXKAoR\nWhHsN7MGNQ/k9cCy+znn0DNssQ6n36DBOK2JkDpQK4Xb7wyI7JqF4aLnirdrU/PGZ8czb1Qf/r16\nP8t3ljF7eFrYjrn+QDWHahxcdVoOr3ynAgoDR5f7q88txRh7FlSPBK9dt+InLq+LxXsX8/T6pylu\nKCYzOpN/n/vvThUQCayZC1SzXLm7gkS7hfE58Wwrqm31Z1RV5eFPtuPy+rhwbEaL56JtJjw+FYfb\n1+Zg2mgwMrffXEoaS3gk7xFu/upmfj3u1/SL7dfh13XSiU7VbmiNuAhGL4QVT8GuJbDpbRh6HvSb\npm23Rh9/LNFCoP2JwaAEg7cSf+PwcK2ZW1e6joHxA4m1Hr2abLgMTz9yWqfD7eXLHaXB731q87oH\nq0kyc2HTUAHlO+DAati/UlvrVlekPReVBkPnadm21BGQnCs3tIVoIwnmjuOfKws4/9PJeG0WjFkT\n4aKXwBaLw+0lwmzEGhLMBabHRViMTB2YxLe7yvnNrMHak1s/1FoL1JfA+KsYfu5jYDBwnBbh4iQU\nbTPz6lWnMCazudjNgaqmsB4zsBbu1jm5vPJdAe7qibw45xwONRzkjm/vYJ3nfaKSPqbp4E9Jjppx\n3PHcPjcKSrB3XZWjioLaAhrdjSw7sIyl+5dS3qRlzUYkjuAXI3/Buf3PxW7uXNYvmJnzqqiqyord\nFUwakEiMzdyi4EGAqqr88cMt/OeHgwD0iW25PitQza7W4W53ZvSKYVfQ6G7kta2vse7Tdbx73rsk\nR4Z37WOvlD1FezjrYPlj8MMbWuGD5Y/CGb/VMnbJud19lieMQHEgLTOn/U3vLdN6oSaHobBRYV0h\nP5T+wPkDztd97LaY08pNsFV7K4NTS0GbYi105qyDgm+1R9kOra9bY0Xz80m5kD1ZC94Gny2VbIXo\nBAnmjmPusCQeW7yQSyL2MGzn51D0A/SfjsPtw3pYZi4+Urvw83hVXr3qFDxupzZ9YPvHsPJprdH3\nvMe13iZyx0kcw/RcreCNz6diNChUNjiP8xOdU17nItJiJNJiItFuITXGhtGg0De6L6/OfZUt5Vv5\n+ce/g76vU2Qs5bUtm7AarTg8DhRFwWwwU9xYTH5lPnkleTi92vnGWGLw+Dw0ehqDx7IarczInMGA\nuAHkxucyLXMaBkWfXnqB6VIen486p4fiWgejMmKpbnJT0+TC7fVhNjYfa8XuCl5fuS/4/eEXszn+\n3pBbi2pbTpduA0VRuH7M9czOmc3Cjxby++W/58XZL+r2Wk861miY9Uc4824ozNNujn18i/bckHla\nYJcyXGtaLo7KG6xm2ZyZ211Wj9mo6F7YqLSxlF98/gvMBjM/GfoTXcduK5vZyDvXTWbBcyuD2z7a\nWITZqDBtcApLtpUcMQV7zvBUJvWX4KLNnPXadMmKnbB/FRQsh7pD2nMmGyQNgsFzIWWYduMldQTE\n9OnecxaiF5Fg7jiSYqP4IfUiqk1lPM5XWhlctGkaNpOhRSGIYE8adz2m1c9iWv5o852osZfD2X8B\ni+TiRNsZDArxkWYqG9pWhKOjKhqcwemTK28/s8W9BkVRGJE8nMuzH+KZLX9il/IJj+QtPmIMs8FM\nZnQmFw26iARbAj7VR4WjArPBTGJEIkMShmAz2hicMDhsFe0sJu3EXV41eLc92mamT1wEbq9Kfkld\ni8bhO4rrWvz84YVdRmZo+1716hry7z+7Qw3cB8QN4LaJt3Hvynu567u7+M2430iGrjMUBTJPgV8s\n0y4et30Iy/+mrauzRMPkG7QqmZGJctMM7bNqyF2f8teLR7FgQiZeNZCZMxAZDOYaSIm2BXuh6uWv\na/5KhaOCl2e/TP/Y/sf/gTCxHTZ18vs9lUzqn8Cf5g/H5fUxd0TL7N3zl8u6zKPyurXKkoVrtDVu\n5fla5s3n/4yKSPBPlRwO6WMge6rcYBEizCSYa4MBKVGs2lkHKM3BnMdHXISZGJuZv1w0iuQYK96q\n/Txhfopz8tdAvrt5wX76OIjNOPZBhDiKBLuFygYnLo8Pt9cXlvLh5fVOEqO0D9yjBSzpMXE0Ff6M\nH41N508XDsThcWA32/GqXpxeJwm2hG7POgUzc14f5XVa01i71chY/5TV7/dUtgjm9lU0EG018cgl\no9lVWn/EeLGR5mBBo/fXH+T80ekdquR50aCL2Fezj0XbF7G1Yitvz3tb2hZ0lsGg3eVPvhXGXakV\nS9n2gdbW5euHwBYHYy+DyTee1FmAwHTCx5fs1IK5Fpk57W+5pslNbpq+6w9VVWVN8RpmZc1iZPJI\nXcdur9BWJQGpMTYy4iJ4/ecTu+GMTgBej7YspHqflnWr3ANl+VoQ5595QXQfSAJc1XUAACAASURB\nVBulFW3rd7rWSiS6j/ZvUwjRZSSYa4NBKdH8Z91BfMlpGCr3AuB0e7HFaJmMS07JhLoSaj+5kRjj\nNtZGTmX8Rbdoi/QNsphadE6C3cLOknrOf+pbthfXUfDQubofo7zORVbisbPGZ49M46v8Mv7vrFyi\nLZFEW5ov/qLpGYUoTCFr5s576ltAq9CXmRDJsD4xfLSxiKunNhci2V3WQHZSJHOGpzFneOtjPvvT\ncZz656Xc9u5Gbnt3I0tvmcaA5PZVVDMoBn57ym+ZkDaBm768iRc2vcANY27o2IsUR4pKgVELtEfR\nem2dTtE6bXr7yqe0Sniz/iRT3Dl8zVzzJcBZQ/Xtz1VYX0iFo6JbKlgeLjBd+rppA3ju692AVtxI\n+KmqdqN61xdaVcmyHdqSEk9IS4eIBEjoB6dcoy0ZSR2u/fck//ckRE8g72ZtMDBFu3CrixtGbNEP\ngH+aZeAO/e4v4T/XEu2s4ybl91x5yS8hR6pSCn38eGIWv31nA27/RVijy9PiIkwP5fVOxmW33pg7\nINJi4u8/HqvrcfUWWA/n8jbfiQ9kMs8bnc7Dn27nQGUjmQmR/G9DEd/uKufKydnHHNNkNDA2K44l\n27Tqd7f/ZxNv/3Jyh85veuZ0zut/Hi9sfAGzwcxlQy8j0ixTr3WVPkZ7AJxxK+z5CvJegTd/DDF9\nYeCZMOOOk6a5cCATp/qnV3p9PhRFm8IdmuWfN1rf7OWGsg0AjE4ereu4HZFgt1Dw0LlsKaoJCeZO\n4sx4QzkcWq8FbTu/0Pq6BVoCRMRD4iCtv2PSYIjJgPSxECVTw4XoqSSYa4NAMLc/cjgjDyyF+jKt\nz5zJqJXaXXQpJPRHueJD/p46rJvPVvQ288dkMDg1mrOfWA7Abe9u5Kxhqcwfo8/UXa9PpbLRRXLU\nib+uIRDMVTa4gtsCRR7mjerDw59u58MNRZw3Kp2b/q3dmDleEAtw17xhwWAuNqJzF4F3TLqDOncd\nf//h76wrWcezs56VPnThkjJUe5xyDaxfpAV26xfB5v9oZdBzz9FaHfTi33/gxkag+L7Hp2L0v97Q\nNjp9YiN0Pe6G0g1EmiIZGNf+fpHhYgkpfhRzMgRzznoo264VIwlk2yp2adsCEgfByIu1Kcv9pklL\nACFOQJ0K5hRFuQ+YD/iAUuBnqqoW+Z+7Hbga8AK/VlX1s06ea7fJjI/AYjSw2nwKIwGWPYDbPQeb\n2QB7vwKvC857EiSQE2EytE8Ma++cxc9fXcO3u8r5aOMhhvaJYXBq56c3Vja4UFVI1Kl/XHcKTLMs\nKG8IbgtkHzITIpnUP4Enluxkw4Hq4PN9449/EZudaGfRL07lJy+uOqJ9QXvZzXb+PvPvLNq2iAdX\nP8g7+e9wSe4lnRpTHIfRDOOv1B7lu2DZA1rfug3/1oo1jL0cBszQshK9jMvjD+b80ZzXXyEXtKzz\nZZOyOHuE/msKN5RtYGTySIw9aKlB6HrgXjXN0tUAxZugap82TbJoHVQf0Hq4qSHrBRMHaZUlR14M\nmZO0zNtJkqEWojfr7LvZX1VVvQtAUZRfA3cD1ymKMgxYCAwH0oEliqIMVlXV28njdQuT0UD/ZDvf\n1dm4+tTrYNVz3Oo7gMuxAD66DWKztGkIQoRRYpSVD26cyqGaJiY/+CUrd1foEswFeszp1Qy8O5n9\nC+8DfeNAK4AScNmkbL7fU8nnW0uC29qakZgyIIk+sTaaXPq8jS0cspBlB5bxSN4jWI1W5vWf16Mu\nfHutpIGw4BXweWHNS/DlA9pU+Yh4mHknDP8RRJ440+R9PhVF4ajZXac/mPMFp1mqmEKqVt5/gf7F\nSRrdjeRX5XP1yKt1H7szTvhgzlmnTYms3ANVe6Fkq1agpHIP+PztFYxW7XokZyrE50CfUdpUybis\nE+rvWgjRdp16N1NVtTbkWzvNMznmA2+qquoE9iqKsguYCKzkBDUgJYpNhTVw1cOojhoWbvg3vm3L\nICEHrnhfSu+KLpMabcNiNFBUo08j8eZg7sT/Gw5k5kJFW5unU01upXdUSjsaJUdajDS49GkwbFAM\n3Hfafdz05U3c+d2drC5ezf2n3S9TLruKwahVGx5/lZbJWHqf1rfu41u0JsZn3q1NOevhAfbIez5j\neHosb1/X+jrOYGbO/70nJDMXLhvKNuBVvYxJ7v7iJ6HMJ8o0S68HSjY3T4ksXKMFbDWFzZk2gxmS\nh2h/o0PmQeapkNAf4rPBdOLfmBNCtF2nb00pivIAcAVQA8zwb84Avg/ZrdC/7YQ1MDmKxZsO4XB7\nMQy5AMuGf2PAC5e8rt3xEqKLGAwKabE2DlU7jr/zMVQ3urjj/c2My9KmliW1I6jpqUIzDv+65lRG\nZ8YREbIuKDHKyuf/dwYp0VaqG91sPVSLydj2MtpRVhP1Tv0mGKTZ03hr3ls89cNTvLjpRdLsaVw3\n+jrMhh58odnbmCyQNQl+9hHs+05bV7fyaXh2spblGPNjmHk32HteE2lVVWlweVldUHnUfdzeI6dZ\ntudvviPn9PzG54m3xjMudVzYjtMRPSIz5/NpxUaaqrRHzUGoOaC1ASjL1zJuVfvA479Zpxi0JtuZ\nk2DMAOh7ihbARffp8TcahBBd47jvZoqiLAHSWnnqDlVVP1BV9Q7gDv8auRuBP7bnBBRFuRa4FiAr\nq+cGRYNTo1FVWLW3kjEZU6lQEzDEZZKaepR65kKEUXqcjaLqzmXmnvpyFx9vPMS6fVUAJNlP/GAu\nNKs1sV9CizvxAYGpqXGRFnKS7O0a32410eg8MjPn8fpYur0UVeWIBsTHY1AM3Dj2RkobS3lh4wu8\ns+Md7px0J7NzZrdrHNFJiqJNTcuZqmXr9nwFB1bBujdg4zuQMQ7G/0ybhtlD+miV1DqPu08gMxfI\nzYU7M7dk/xLWlqzlrkl3YTe3799XuEWG9IjscDVLjwucteCo0R7Br2ubv3bWgateK0DiatC+b6qE\nxgporITWVpwYLRDfT1vTNmAmZIzXgri4LLBIxVshxNEdN5hTVXVWG8f6F7AYLZg7CGSGPNfXv621\n8V8AXgCYMGGC2to+PcHMISlkJUTyxw8289rPJzLL+Th/mjyan8iUKNENEqOsbCuqPf6OIVRV5cpX\n1nDJhL5MG5zMS99qPRM9PhWL0UBMxAm4huQoTAal1UCus+xWE5UNjUds/81b6/lo4yEiLUbmjpjb\n7nENioF7T7uXmVkzeXnTy9z6za34VB9z+7V/LKGD2AwY+1PtMel6WP2i1rvuvavhm79qmbwJP4c+\n3Vt2/0DVkX+Lh3MdkZnztchg623xnsWk2dP40aAfhe0Yx+X1gLtR65PmbgR3E7ibMLmbmGbYgA0X\nKQVVcNAD7pB9PE3BfbUgrFYL0kKDNk8bZkRYorSHNQosdrBEa8VGIhP9jwRtjWZEPESlamvbIuKl\niqQQokM6W81ykKqqO/3fzgcC9W4/BBYpivIYWgGUQcDqzhyru0VYjDz0o5H85KVVvLR8L25M2HTu\n9SVEW8VHmqlucrdp38+2FJOVEElajI1v8sv4Jr+Ms4Y1VzArq3PSJ9bWa9ZqvXXtJPolhycjkJMY\nyRdbS5j212X8fu4Qzh6pVQH8fo82za3R5cXl8bWYztVWBsXAzKyZTOozieuXXM/ty29nTfEafjP+\nNy0atIsuljIU5j2mTY/b9A788AZseg/Wvqq1NsieAqN/0i3TMKsbtfeAY2XamjNzGo9PxRDGf+tb\nK7YyOnk0JkMYPh9dDdq6sfpSbVpi5V6t7H5DqZbxaiiH+mIt6DqK1wJLgz9t5UlTBJgDj0iwxYAt\nFmL7Nn9tjQ35Ouawr2PBGi3TH4UQXaqz77YPKYqSi9aaYB9wHYCqqlsURXkb2Ap4gBtO1EqWoaYM\nTGJonxg+3FAE0Nw0XIguFh9pobrRxdJtJRRVN3H55JxW9/P6VH75xloA3r/htOD2L7aWcOucXP76\n2Q6gd1SyDDi1lSInerlldi7J0Vb+vHg7f/1sB7OHp3HfR1spr3eSYLdQ2eCizuHuVJuHSHMkf5vx\nN55Y9wT/2fkfypvKeXzG470m2D5hGQww+lLt0VQN3z2hBXc7FsNXD2nl3lNHwNDzu6zce43/hk6k\n5eifRYcXQNHWzIXnb6naUU1RQxGXDrm07T/krNcCs8YKqN6vrSNz1mpTEx21WvBWuRvqSsBVd+TP\nB7JbkYmQPBj6T4PIpJZBmdnm/28EP3rxBxxY+PiW2SjB5yPAZJPMmBDihNTZapYXHeO5B4AHOjN+\nTzRraAp//3IXgNZnTohuEBthxqfC1a/lYTMbWDgx64hphV6fyrZDzVMx91U0tHj+56f1429f5OPx\nqb2ikmVXsJmNXHvGAJxuH49+kc9XO0p5dUUBoBVJWt1QSa3D0+mefQm2BP405U/0j+3PI3mP8MqW\nV7hk8CVEWaJ0eBWi0yLiYNYftUfZDvj6L83Zuk9+p1UWTB0O/U6H7KnatLowBApHC+Y8Xh+7yuoZ\nkhaD03tka4JwrZnbWrEVgGGJh/Vc9XmhfCeUbtGyaYfWQ8VuqD149CyawaRluWIytN/lwLMgKllr\nBRSdCvYUrXKjuX3Nztep2vugkjSo3a9PCCF6Ipkn2E6zhqY2B3MmycyJ7hEX2Rx8Odw+/vjhFqYP\nTmbW0FQM/gu1W95ez/vri4L77a9oub4mwmIkymaiurFzmaSTUYa/0fizX+0ObjulXzyrCyqpbeP0\n17a4YtgVrC5ezd/Wapm6BYMXcGbWmQxJGEK8rfc1uD4hJefCxS9ri9IqdmmNyAu+hQ1vwpoXtX2s\nsZB1KmRMgMQB0G+aFph0UiCYO3yWyAOLt/HKdwUsv21GMDNX79AK9xzeZ05PWyq2ADC0ohB2/037\nPZRs0TJvoc2r47K1LGbOVIhJ1yozRiRoaxXtKVoQZ7KGJQDOTIjgQKU+bV2EEKInkGCunUZmxAa/\ntso0S9FN+iVp1c1+NX0Az3y1m0Wr9rNo1X4uHt+XRxZoRRlCAzmrycC+ykZSoq08smA0Xp92lz7K\nqgVzvWmaZVfoG6/9/vP2VXHRuL784Zwh7Clv4Ollu6l16BfMKYrCY9Mf49vCb1l+cDnv5r/LWzve\nwmQw8dDpDzEnZ45uxxKdpChaJcIz79a+93rgwPdwaCOU58Peb2Dn54GdtaIX8Tlaqfm+E7Sfje/X\nrgAmcOMg8O85YMWuCgDqHJ5gMOfxqVTUO/3VLDsxq8TjgoYybUpk5R6oLYLqAqjaxybPfnJUN7Hv\n+puFJ/orM8aka6+tz2hI6KcVBekmi399Ok3uE37VhxBCBEkw106GkDuaMs1SdJfx2Qls/tMcoqwm\niqqbKKl1Yrca+XxLMerFo45YX+X0+Fi5u4LsxEjOGNycEQhUuJNplu3TL6SlwQVj00mMslJe7wKa\nsyV6sRqtnJl9Jmdmn8nNE25mS/kWntvwHL//5veYFBMzsmZgUOS9qMcxmppbHQS4m7Qm0Du/gNJt\nWjC0/JHmrFV0Hy3TlzRYy96lDIXYTK0XXisCf2seb8tgzuFpDlbqnc1/j9sO1fHF1hL6xNra9hp8\nXu08936jnfeh9VpwymGFp+0pqAk5bDIbmRyVC3Nf115DRFzbjtOFom3mjrclEEKIHkiCuQ5IibZS\nWufEKtMsRTeKsmr/fB9fOBaARav2s2RbKfsqGlvtn3awuolJhxUHCRRCSO4FDcO7Uujva8qAJADS\nYrQL5M72/zuWGEsMk9MnMzJpJFd8egW/+eo3pEam8pcz/tLjGjSLVpgjIH2s9ghoqtLWkxVvgv3f\na8U+fvgXrH5Be14xQFKu1m8sLkvLbJkjwGhlSFkhcwyNRHhssFvRmpybrGQ7d2FWfKiVe3BWlJFI\nDS7M/Pf7rcRTi6emWiss4qzTpkA665rL8deXakFm0TqoKgCvdpOCyERIGQan36JVd4ztCwn9tTVt\nZhvF9Ycof282I4cvhMyJXf6rFUKIk5UEcx1w5tAU/r36ANYOlB8XIlymDtSCiv9tKOLGmQOD22+Y\nMYCnl2lru7ITWzafDaydSewFDcO72n9/NQWXxxcsJhEbaSbBbmFv+fF7f7XG4y9UYWpDf7woSxRv\nnP0Gyw4s47kNz3H151dz7chruXDQhaTZ29e0XHSziHgt+MmcCKf4pyd6XFowVblHexRvhtpC2Lei\nRUXHXwJY0OpJv9E85OsAVuBdGA7cGUjE7QYCX//tGOcU3UcLOHPP0TKF/adrUyWP4an1T2FQDJya\ndmrbXrcQQghdSDDXAffOH8HF4/uSmRB5/J2F6CJZiZFkJUSyq6wep3+dzHmj07nlrNyjBnOBCpix\nETLtqL3GZh1ZgKRfkp295fUAXPr8SgakRPHnC0e2abypDy/Dp6qsvmNWm/a3m+3M6z+PM/qewZ3f\n3skzG57hlS2v8NLslxiVPKrtL0T0PCaL1pg8a1LL7aqqZfI8DvA4uerlFRRX1hBt8vH2NeO0LJrH\nxU1vfA9eJ786PZPPNh4gORIOllXj8qoM75vA7JGZ2CNs2tq16D5ar7RAjzV7klZ8pB0+K/iMD3d/\nyPWjr6d/XH8dfxFCCCGOR4K5DjAbDYzPTuju0xDiCHariQanl0aXtmZmfFZci3WeoQV8AG6aOYgb\nFq0jK1FuTOghJ9HOd7vKAVi1t5JVeyvbHMwV1zo6dMwYSwxPznySfbX7uH7J9dyw9AZenvMyg+MH\nd2g80YMpitbmwG+zazdlahxmn6I1L/f72OPGp8K5meN4I28zcwan8b2rgupGNzf9bDp2HW/euH1u\nHl/7OEMShnDtqGt1G1cIIUTbyDxBIXqRKKuRRpeHBqdWhjzSv67u1zMHMrRPDP2TW/YpO3dUHwoe\nOlcyczrpn2ynuNZBSQcDs87Ijsnm+VnPo6Cw4H8LuPPbO/GFloMXvU6gAIrbq6KqzUVJAsUt6xwe\nKhpcpERbuXveMF64fLzu/9a/3P8lhfWF3DDmBkwGuT8shBBdTYI5IXqRSIuJBqeHBpcWzAWKpNw8\nO5dP/t/p3XlqJ4XANNYr/7E6LONvPljDe2sLj/p8Zkwmb5/3NgsGL+CD3R9w49IbcXi6PrAU4edw\ne3F5fMGG4e7DKloCHKjSivGkxtiYnpvChBz9Z5SsKFpBtCWa0zPk/UUIIbqDBHNC9CJRVhMNLm9z\nZs4iFVe7UqDk+/bi5iIVoRmTo3F7mzNoByobuefDLa32q3ty6U5+++6GIxrAh0qzp3HHqXfw+4m/\nZ/nB5Vz92dVsLt/cnpchTgCBrFygR6TH5+8nF/K39MyyXYBWgTkcVFVlZdFKTk07FaNB3muEEKI7\nSDAnRC8SaTHS6PTQ4NTWzAUyc6JrpEQ39+8anh4DQIPr+A2KQ3vT/eL1PF5dUcDagqoW+6iqytp9\nVagqvL6y4JjjKYrCT4f+lPtPu5/C+kKu/fxa9lTvafsLET1eczCn9aBze7SbBrUOT3Afj3++ZWpM\nG/vKtVNeSR6HGg4xqc+k4+8shBAiLCSYE6IXsVtN1DtD1sxZJJjrSoH+cyaDwk9PzQZgT1n9cX8u\nNJg76O9TV9XoCm5zeXzc8+EWKhpcRFlNvJV3gEaX54hxDjd/4HzeOPsNzEYzl31yGcUNxe16PaLn\nCvzNJPozc25/Zq61pvXhyMyVN5Xzu29+R1Z0Fuf2P1f38YUQQrSNBHNC9CJ2q5Fah4ePNh4Kfi+6\njs1sJDbCzKn9E5g5JAWA7/dUHPfnqhubL8ADlUgrG5qDuS+3l/Layn0AXD21H3UOD3vLG9p0Tlkx\nWbw29zVcXheXfnQpS/ctbfPrET3X+v3VQPM0y8BU3eqQmwABgYBPT0+ue5JqZzWPTX+MKEvU8X9A\nCCFEWEgwJ0QvEh+pTbn6ZPMh5o9JJyMuopvP6OTz8EWjuPPcYaTF2hieHsOfF2/n1D8vOWaFy5qm\n5gtwr39qXGhmLr+keQ3e6EytvUSd4/iZuYCc2Bz+ec4/SY1M5a7v7qLGWdPmnxU90wOLtwFHTrMM\nZObevLZ56qMxpD2JHg7UHuCD3R9wae6l5Cbk6jq2EEKI9pFgTohe5McTs3j+8vF8/4czeWLhWExG\n+Sfe1eaOSGNoH2293MJTMgEoqXWyZFvJUX+mtalxlQ3N23aEBHOBTEx7gjmAIQlDuH/q/dS763ll\n8yvt+lnRcyUdZZplIMgLh68Lv8an+rhs2GVhO4YQQoi2kSs9IXoRu9XEnOFpLQpxiO5z/piM4Nf7\nQipQOtwti6IEplmeO7JPcFtVyDTL/JDqmNE2rU9YXSvVLo9ncPxg5uTM4c0db0p2rpc4fJplIJiL\njbDw2W/O4ONfT9X9mKuLV9M3qi8ZURnH31kIIURYSTAnhBBhEhth5tY52jS0z7cUo6oqpXUORt3z\nOZ9ubi5GEgjm/jR/OOOz4zEaFCr90yxdHl+L9XHRNq2oTZ3Dw9JtJeT8/mP+8e3eNp/TNSOvocnT\nxCX/u4Q1xWs6/RpF11NVFYMCN84YiMWkfYx7/H3mahoDwZyZ3LRohqfH6npsl9dFXnEep/Y5Vddx\nhRBCdIwEc0IIEUY3zBjIHecMpaCikdomD+v3V+Py+loEYNWNLqJtJpKirLx3/RRmD0sNZub2ljcE\nS8xDaDDn5urX8gC496OtbT6f3IRcXpr9EmajmVu/vpVaV60eL1N0IY9PxaeC1WTAZNTWw7lCMnMR\nZmMwyNOTqqrc9/191LnrmJ0zW/fxhRBCtJ8Ec0IIEWZ947VCNEu3l3DtG2sBWF1QyU7/WriD1Q7S\nY5uL1cTbLcECKKHr5QCsJu1C/cvtpS22t6U5ecApaafw8BkPU+Ws4qkfnmr/CxLdyunRAjeb2YjF\n2DIzV93kJjbCHJbjflP4De/vep/rRl/HlPQpYTmGEEKI9pFgTgghwizDH8zd/PaGFtvfW3cQgMKq\nRjITIoPbEyItVDW68flUvt1ZFrxgDxRWSbRbWLe/mtgIM6P6atPoGtvQnDzU8MThXJp7KW9uf5Nn\n1z9LlaPq+D8keoTAmkur2YDJX6nyje+11hWNLk/YWpJ8U/gNkaZIrh11bVjGF0II0X4SzAkhRJj1\njY9EOaw6fKLdwnNf72biA0vYWVpPZkJzZi4xyoLXp/LYF/m8t+4gPzk1i+33zeXDG08DYECy1tdr\ndGYcl/orZtY721fdEuCmsTcxre80ntnwDBd+cKEURTlBBDNzJiNm/3TK/20owu314XD7iLCEJ5jL\nK8ljXOo4zIbwZP6EEEK0nwRzQggRZgl2C+/8cjLJ0c3NmwNrnUrrnMwb1YeLx/cNPjd/TAYT+yXw\n1LJdZCdEctPMgdjMRsz+DN3AFC2Y6xNj61R1y2hLNH8/8++8fvbrVDoqeXHjix1+jaLrhGbmLCHt\nR9bsreTL7aXYTPoHczXOGvbU7GFM8hjdxxZCCNFxpu4+ASGEOBlMyElgYk4CH286BIDbv8ZpRm4y\nTywc22LfBLuFt66dxI6SOvol2bEednE+ZUAir64owGo2EG3V3sZr29l3LtTYlLFcOOhCXt/6Om6f\nm1+N+RWxVn2rIAr9ON1aZs5qMgZvCgD85KVVQHObAj1tKt8EwJgUCeaEEKInkWBOCCG6yMMXj2L+\nmHRmD09j5B8/A+DGmYNa3VdRFIakxbT63KyhqTz4o5GcNSyVAn/bgvY2ET/cbafchqqqvLXjLQpq\nC3h21rMYFJm80RM5Pc2ZObPxyP9HbS+F03YbyjZgUAyMTBoZhtGFEEJ0lHxSCyFEF4mympg9PA0A\nt0/LniRFWdo9jsGg8OOJWSRFWYMN4nceVvWyvexmO/eedi+3T7ydFUUrWLRtUafGE+HjCGbmDJgN\nR36Me336h3MbSjcwKG4QkebI4+8shBCiy0gwJ4QQ3SCw1i0xynqcPY8tKzGSkRmxfBLShLwzLsm9\nhOl9p/Po2kd5aPVD1LvqdRlX6CeQmbOZjZhNyhHP6x3M1bvq2Vi+kdHJo3UdVwghROdJMCeEEN1g\n0TWncvvZQ4iydn62+yk5CWwpqsGjw1opRVG4f+r9zOs/jze3v8ndK+5uVw87EX5ldU4A4iLMmLog\nM/f0+qdpdDdywcALdB1XCCFE50kwJ4QQ3WBQajS/nDZAl7FG9o3B4faxq0yfLFqsNZb7TruPm8be\nxBf7vuB/e/6ny7hCH/kldVhMBrIT7S2qWQZ4dQy+99fuZ9H2RVw8+GJGJst6OSGE6GkkmBNCiBPc\nyIw4ADYV6tsn7mfDf8bYlLH8edWfeXLdkzg8Dl3HFx2zq7SeAclRGA1K2KdZrileg0/1ccWwK3Qb\nUwghhH4kmBNCiBNc/yQ7douRTQf1DeaMBiMPnf4QE9Mm8uKmF3l4zcO6ji86pqLBRWqMttaytWmW\nHq9+wdy2ym3YzXayYrJ0G1MIIYR+JJgTQogTnMGgMDw9lrfWHNC9x1h6VDpPznySq4Zfxbv57/LV\nga90HV+0X2WDi4RIrQqq2XhkZu6SCZm6HWtb5TaGJAyRNhVCCNFDybuzEEL0AiP7xuL0+Hh3bWFY\nxr9x7I3kxudy2ze38VjeY1Q7qsNyHHF8VQ0u4u1aMKcoRwZzvz5zoC7H8fq85FfmMzRhqC7jCSGE\n0J8Ec0II0Qv82t98fP3+8ARZFqOFJ2c+yfS+03lt62v89uvfhuU44ugcbi+fbDpEg8tLgr25P+Hj\nl47hucvGB79vLcDriILaAhxeB8MSh+kynhBCCP1JMCeEEL1AbKSZ0wYmsvVQLX/9bDs3LloXfM7j\n9XGgsrHTx0iPSucv0/7CrRNuZVXxKlYdWtXpMUXbfbi+iOv/pf1/jYs0B7dfMDaD4ekxuh9va8VW\nAIYkDNF9bCGEEPqQYE4IIXqJoWkxbDpYw9PLdvP51pJgf7h7P9rK6X9ZRnWjS5fjLMhdQGpkKg+u\nepCCmgJdxhTHt7+yEYMCv5zWn9nD0lo8Z9ehX+HhtlVuw2q00i+2n+5jtSi1UQAAIABJREFUCyGE\n0IcEc0II0UvkJNmDX7s8Pmqa3AB8tPEQAKX+ZtOdZTVauWfKPZQ2lXLJR5dwsP6gLuOKYztU4yA1\nxsbtZw8lOdra4rlIi1H3422v3E5ufC4mg/6BohBCCH1IMCeEEL3EuSP7sGB8X+6dPxyAOY9/Q4PT\ng8PtBaCwqhGnx6vLsaZmTOWteW/h9rl5ZfMruowpju1QTRN9Ym2tPmc16ftxXtxQzMayjdIoXAgh\nejhd3v0VRblFURRVUZSkkG23K4qyS1GUHYqizNHjOEIIIY4u3m7hrwtGMyRNWz9VUutkR0ldMJj7\n+at53PzWBt2OlxmdyQUDL+A/O/9DaWOpbuOK1lU1ulsUPgmlV9GTgMfXPQ4gzcKFEKKH63QwpyhK\nJjAb2B+ybRiwEBgOzAWeURRF/zkgQgghjjAiI4YhadEAFNc48IX0kF66vUTXY/18xM/xqT6eXv80\nPlXfHneiJafbi9V87I/S0ZlxnT5OYV0hH+/5mMuHXU56VHqnxxNCCBE+emTm/gbcBoRcLjAfeFNV\nVaeqqnuBXcBEHY4lhBDiOCItJv51zakAbDpYA8CovrGM7ht7xFqrzsqMzmThkIX8Z+d/uHHpjXh9\n+kzjFEdyenzYTEcP5jb8cTZvXTup08cJVLE8K/usTo8lhBAivDoVzCmKMh84qKrq4fN2MoADId8X\n+re1Nsa1iqLkKYqSV1ZW1pnTEUII4Zdgt2AxGnjhmz0A/N9ZgxmbFU91o1v3Y/3ulN9x8/ibWX5w\nOUv3L9V9fKFxerxYzUf/2I6NMGM7TuauLfKr8jEoBgbEDej0WEIIIcLruMGcoihLFEXZ3MpjPvAH\n4O7OnICqqi+oqjpBVdUJycnJnRlKCCGEn6Io3DY3lxHpMcwamsLk/onERZqpc3jwePWdDqkoClcM\nu4Ks6Cxe2fxKsCWC0JfT7dO90Elr8qvyyYnJwWrUN4srhBBCf8etN6yq6qzWtiuKMhLoB2zwL7zu\nC6xTFGUicBDIDNm9r3+bEEKILnLN6f255vT+we/jI7XiGTVNbhKj9L1QNxqMXDn8Su77/j7ySvI4\nJe0UXccX4PB4dcm8HU9+VT4jkkaE/ThCCCE6r8O3+FRV3aSqaoqqqjmqquagTaUcp6pqMfAhsFBR\nFKuiKP2AQcBqXc5YCCFEh8RFmgGobtJ/qiXA+QPOJ8YSwyN5j0h1S515fSpurxr2zFyDu4GD9QcZ\nHD84rMcRQgihj7B8KqiqugV4G9gKfArcoKqqrIoXQohuFBvhD+bCsG4OwGayce+Ue9lbs5fLFl9G\nk6cpLMc5Gbk82tRY6zEKoOhhZ9VOAAnmhBDiBKFbMOfP0JWHfP+AqqoDVFXNVVX1E72OI4QQomPi\ngtMsXQAcqGwkr6BS12OcmX0mT818ikMNh3h7x9u6jn0yCzR7tx2jAIoe8qvyARgUPyisxxFCCKGP\n8K+kFkII0SPEHZaZO/0vy7j4uZW6H2din4lM7jOZlze9TKO7UffxT0YOd9dk5vKr8rGb7aTbpb+c\nEEKcCCSYE0KIk0SgAEpVo5sGpye43RfSVdznU3ljZQEOd+dmxt849kaqnFU8se4JaSaug0BmLtxr\n5rZVbmNw/GD8hc2EEEL0cBLMCSHESSLaZkJRoKbRxc7S+uD2WkfzGrr/bSzirg+28OTSnazdV8nX\n+R3r/zkqeRSX5l7Kou2LuOPbOzp97ic7p3/NXDirWf5Q+gMbyzZyRt8zwnYMIYQQ+pJgTgghThIG\ng0Ki3UJRjYMLnv4uuL2ywRX8usr/da3DzUXPruTKf6zG4fby4OJt1LSzCuYdp97BFcOu4KM9H3Gg\n9oA+L+IkFciUhiszp6oqT6x7gkRbIj8Z8pOwHEMIIYT+JJgTQoiTSHainXfXFrbYVtngosnl5fmv\nd1Pn0KZfmgzNHw+LVu3n+W/2sHJ3Oe2hKAqXD7scg2Lg/d3vd/7kT2KBzJw1TAVQtlZuZW3JWq4Z\neQ2R5siwHEMIIYT+JJgTQoiTSE6i/YhtxbUOlm4v4cFPtvPoF1o1Q7Oxec3U0u0lANQ727+OLs2e\nxuQ+k/lw94d4fdKhpqOcYS6A8uGuD7EYLJw/8PywjC+EECI8JJgTQoiTyOmDkgDISmjOvmw4UI03\npAjK4Vbt0doX1Ds61p/u/AHnU9xQzLrSdR36eRHe1gSqqvJZwWdMz5xOjCVG9/GFEEKEj6m7T0AI\nIUTXuWBsBkP6RDMoJRqjQeHiZ1ewdl8VOUktM3ahhU88/kCvwdWxzNr0zOlEm6O5d+W9PHfWc2RE\nZXT8BZykwtmaoKC2gApHBVPSp+g+thBCiPCSzJwQQpxkhqTFYDRo0yjHZ8ez+WBtsPBJQH5JPZkJ\nES221Ye0M2iPSHMkT535FBWOCn771W87dtInuXC2Jvih9AcAxqaO1X1sIYQQ4SXBnBBCnMTGZcfj\n8vr43j+V8t3rJgefe+Pnp7bYt97RsWAOYFzqOK4bdR2bKzZTUFPQ4XFOVuFsTbCmeA1x1jj6xfTT\nfWwhhBDhJcGcEEKcxMZlxQPw7a5y7BYjE3ISgs9lJ7asavjdrvZVszzcnJw5KCh8WvBpp8Y5GTnD\n1Jpg9aHVLN67mFnZs6RRuBBCnIAkmBNCiJNYcrQ1GLTZrS2XUSuKwqn9EhidGQfAnvIGiqqbOnys\nVHsqY1PG8lnBZx0/4ZOUIwytCTw+D7cvv53smGxunXCrbuMKIYToOhLMCSHESW68PzsX5Q/mFv3i\n1OB0y0W/mMT7v5rCyIxYoGWD8Y44u9/Z7Krexc6qnZ0a52QTjtYEWyu2UtpUyvWjr5feckIIcYKS\nYE4IIU5yA1KiALD4p/BNGZAUnG5pNCgoisLvzx4CdLwISsBZ2WdhMVj4w7d/oKyx7Pg/IACtAIrZ\nqAQL1+ghryQPgIlpE3UbUwghRNeSYE4IIU5yydFWgGOumQpk7Ro6GcwlRiTyxMwn2Fe7j7tW3NWp\nsXq7FbvLKa11AFprAr3bEqwvXU9WdBaJEYm6jiuEEKLrSDAnhBAnuUAwZzzGJ0KUTQvmOpuZA5ia\nMZXLh13OyqKVlDaWdnq83sjj9fGzV9bw3Nd7AC0zp2fDcFVV2VC2gTEpY3QbUwghRNeTYE4IIU5y\nMTYzAIZjZOai/Zm5uk60Jwh1Xv/z8Kk+Fu9ZrMt4vU1JnROXx8eagkoOVDbicPuwHCvabqfC+kIq\nHZWMTh6t25hCCCG6ngRzQghxkuuXZAfg6qlH7zNm12maZUBObA4jk0byvz3/02W83qawshGATQdr\nOP0vyyivd5IYZdVt/A1lGwAkmBNCiBOcBHNCCHGSS7BbKHjoXOaPyTjqPpEWI4qizzTLgHn955Ff\nlc+msk26jdlbFFa1bAFxsLqJ9DibbuPnFecRaYpkYNxA3cYUQgjR9SSYE0IIcVyKohAXYe50a4JQ\n5/Q7hwRbAjcsvYHtldt1G7c3ODyY21/RSEacPu0DtlZs5f1d7zO331yMBn2LqgghhOhaEswJIYRo\nk7TYCIprHLqNF2eL4/WzX8egGHgs7zHdxu0NCqsaW3zv8voYlh6jy9gPrHqAeFs8N4+/WZfxhBBC\ndB8J5oQQQrRJeqyNQzoGcwDZMdlcOOhCVhevptJRqevYJ7LDM3N3nDOUi8YdfRpsW9U4a9hYtpGF\nuQuJtcZ2ejwhhBDdS4I5IYQQbZIWa+NQTdPxd2ynuTlz8apeluxbovvYJ6rC6kbmDk/j7BFpLLl5\nGr84o/8x+wC21ZbyLQCMSh7V6bGEEEJ0PwnmhBBCtElOop2qRjdVOq6bAxgcP5h+sf34tOBTXcc9\nUXm8Pg5VOxiQYufZy8YzMCVKt7HXla7DoBgYmTRStzGFEEJ0HwnmhBBCtMngtGgAdpTU6Tquoiic\nnXM2ecV5FNUX6Tr2iaikzonHp9I3Xp+CJ6F+KP2B3Phcoiz6BYhCCCG6jwRzQggh2mSIP5jL1zmY\nA5g3YB42k43rllxHeVO57uP3ZKqqUt3YnO0sqdXWJabF6NeKAMDtdbOxbCPjUsfpOq4QQojuI8Gc\nEEKINkmJthIbYWZ7sf7BXGZ0Js+c+QxF9UU8s/4Z3cfvLl6fymOf7zhmFdD31x9kzL1fsGJXOaqq\n4nB5Aa23n562VW7D4XUwNmWsruMKIYToPhLMCSGEaBNFUchNjSY/DMEcwIS0CczInMHS/Uvx+rxh\nOUZXW76zjCe/3MWfF2876j6B4PgnL61i8aZimtzaa7eZ9Q3m1hSvAWBcimTmhBCit5BgTgghRJvl\npkWzo6QOVVXDMv5Z2WdR6ahkXem6sIzf1QrKG4BjZ9msxuaP4q92lAaDuQgdM3MlDSX8Y/M/GJM8\nhuTIZN3GFUII0b0kmBNCCNFmg9OiqXN4dO83FzA1Yyo2o42P93wclvG7itvr45HPdvD6yn0AHKpx\nHHWqZU2TO/j1moJKHG4fABE6ZuYeXP0gbp+b+067T7cxhRBCdD8J5oQQQrRZbmp4KloGRJojObf/\nuby38z2e3fBs2DKA4baxsIanlu1ijz8z93V+Gf/vzR9a3Tc0mCuoaGR/ZSOg3zRLl9fF8sLlXDTo\nInJic3QZUwghRM8gwZwQQog2CwZzYVo3B3DHpDs4f8D5PLP+Gd7f9X7YjhNOPn8QOmtoSnDbqr2V\n+HxHBqehwRxo6+xAv2mWWyq24PK5mJA6QZfxhBBC9BwSzAkhhGiz2EgzqTHWsLQnCDAbzNx/2v1k\nx2SfsI3EXR5tquQvTu/fYntrlUCrQ4I5RYEf9lcDYDPp8xG9tmQtAGNTpYqlEEL0NhLMCSGEaJfs\nBDuFVU1hPYaiKMzInMHq4tXUu+rDeqxwCARzlsMCstV7K47Yt7TWGfw6PTYCALNRwWTU5yN6Xck6\n+sX2I8GWoMt4Qggheg4J5oQQQrRL3/gI8kvqKK93Hn/nTpieOR2Pz8N3Rd+F9Tjh4PJqwZw5JCDL\niItg1d7KFvt5fSrFtc2FUZKiLIB+6+W8Pi/rS9dLOwIhhOilJJgTQgjRLn0TIqludDPh/iVhPc7o\n5NHEWeNYun9pWI8TDoHMnDUkM3dKTjzrD1S32K+0zoHXp3LDjAG8ctUpRNlMgH6VLHdV76LOXcf4\n1PG6jCeEEKJn6VQwpyjKPYqiHFQUZb3/cU7Ic7crirJLUZQdiqLM6fypCiGE6AkCRVBAK8EfLiaD\nibOyz2LZ/mVsKd8StuOEQ+g0y79dOpq75g0jIz6C0jon3pAiKEXVWlZufHY8M3JTiLJqwVyC3aLL\neXxd+DUAY1NkvZwQQvRGemTm/qaq6hj/YzGAoijDgIXAcGAu8IyiKPo1zBFCCNFtxmTFBb8+Wu80\nvVw1/CribfFc8ckVbCzbGNZj6ckdMs3ywrF9uXpqP1JjbHh9KpUNruB+h2q0tYfpcdpaObs/mBvW\nJ6bT57C9cjvPb3ieqRlTyYjK6PR4Qgghep5wTbOcD7ypqqpTVdW9wC5gYpiOJYQQogtlxEVw8fi+\nAByoagzrsTJjMnlz3ptEmCN4dcurYT2WngJr5kILoKREWwEoCVkjV1StBXN9/IVPnP6M3rD0zgdz\nj6x5hFhrLA9MfQBFUTo9nhBCiJ5Hj2DuJkVRNiqK8g9FUeL92zKAAyH7FPq3CSGE6AVumjkQgINh\nrmoJkGBL4IIBF7Bs/zLKGsvCfjw9tFbNMiXGBkBZXXPhmKJqB3aLkRj/WrlCf8PwoZ3MzDW4G1hb\nupbzBpwnVSyFEKIXO24wpyjKEkVRNrfymA88C/QHxgCHgEfbewKKolyrKEqeoih5ZWUnxoe0EEKc\n7PrERqAohL1FQcCC3AV4VA/v7XyvS47XWYtW7wfAYjwyM1dap2Xm6hxu/rehiPS4iGDmbEBKFACD\nUqM6dfy84jw8Pg9T0qd0ahwhhBA9m+l4O6iqOqstAymK8iLwkf/bg0BmyNN9/dtaG/8F4AWACRMm\nqK3tI4QQomexmAykRtu6LJjLjslmUp9JvLPjHeYPmE+fqD5dctyOaHB62FPWALQM5pKD0yy1zNwd\n/91MRYOLpChrcJ/7LxjBVVP6kRJt69Q5rChagc1ok8InQgjRy3W2mmXop+mFwGb/1x8CCxVFsSqK\n0g8YBKzuzLGEEEL0LH3jIzhYHd41c6FuHHsjjZ5GFn68kIP1rd4f7BHqHJ7g1wZD81o1q8lIfKQ5\nmJkLFD+pdzbvH2kxMbJvbKfPYUXRCiakTcBi1KcqphBCiJ6ps2vm/qIoyiZFUTYCM4D/A1BVdQvw\nNv+/vTuPj7q69z/+OpOZ7CskIUASNlkKiLIUrKgIVVBrr7UWl7a2Lr+fvb3aXov46L316sO15bZ2\n8We11SJeqVVxqaL2KgoVlVrZUSCCoGxBAoRA9nXm/P6YhckGIfOdMEPez8cjD2a+3++cc4acx3zn\nk7N8oAR4E7jZWuuNsC4REYkhhTkpPTYyB/68c09f8jRVjVU888kzPVbviapuaO70XL/MZPZU+P/P\nBvdNA2BUQUan13fH3pq97KzaydQBUx0tV0REYk9EwZy19lpr7enW2nHW2n+x1u4LO/eAtXaYtXak\ntfaNyJsqIiKxZGAgmAvfnTFo9c4KBv/H39hRXutoncOyhzGjeAaLP1tMQ0t00yJ0x4pt5Rysaez0\n/Hkj8nh/20HKaxpDaQh+c+WZjrbhr9v+CqD1ciIivUC0UhOIiMgprjAnFYApP19GZX3r0aiX1pYC\n8I/t5Y7Xe+XIK6lsrOStXW85XnYkdpTX8t0nVvLvz23o9JpJg3LwWX9+vvomL/kZSWSlehxrw/oD\n65m/cT5fH/p1hmYPdaxcERGJTQrmRESkWwpzUkKP/75lf6tzPuvfz8oVhfxmkwsmMzhzMAs3L6Sm\nqcbx8rurvsm/miCYeuC6swe3uyY71b+GbfXOChat2UNdk7MrEB776DFyU3L52ZSfOVquiIjEJgVz\nIiLSLQOzjwZz4bnTAAKxHNHIVW2M4Zbxt7D9yHau+ds1VDZWOl9JNwQD2KAfTGs/MpYdGIX73dJt\nQOvNTyJV11zH6rLVzBo8i/TEyFIbiIhIfFAwJyIi3TIgLJg7XNd6mqUvENc4PfIUNGvwLB694FF2\nVu3kle2vRKWOE1XffPS9Jia4yEltv5Nkdoo/mGs7LdUJ7+99nyZfE9OLpjtetoiIxCYFcyIi0i3J\nngR+/NXhABypa2p1LjhKVRWFoCXo7AFnMyF/Aou2LsJnfVGrp6vqwwLXb08pJtmT0O4aJ9fHtbV0\n11L6JPdhQv6EqNUhIiKxRcGciIh025wLRzA8P52K2tbBXDC4qzrGNv1OuHrU1eyp3sOKvSuiWk9X\nhI/M/dv0YR1ek+ROIC8jiW+cOcDRuhu9jbxX+h7Ti6aT4GofRIqIyKnJfbIbICIi8S0nNZE9FfU0\ne314Elw0NHtZtaMCgCN10Q3mLii+gIK0An61+lfkpuQyuu/oqNZ3LA2BYO6uS0eTn5Hc6XWv/+gc\nslM9vLLhC8fqXrBxAXUtdVw46ELHyhQRkdinkTkREYnIjC/lU7KvinF3v8XyrQfYe6Se2sCUw7LK\n6OaC8yR4uH/q/dQ01/Dd//0uOyp3RLW+YwmuD7z49IJjXtcvM5kkt3OjZ69sf4VHP3qUS4deylcG\nfMWxckVEJPYpmBMRkYj867RhPPLtCdQ3e3n9433UBnZoTPEkUNZBQnGnTek/hRe+/gIel4eH1j0U\n9fo6E1wzl9LBWrmOPHXDZJbcel7E9S7asoiROSO5b+p9uIxu6yIivYk+9UVEJGJfG9efr47K56M9\nR6ht9Ac1p+Wns6+yHttmy/5oyE3J5YaxN7Bs9zLWH1gf9fo6cu/rJQAdbnzSkWkj8hhZkBFRnXtr\n9rLp0CYuGXoJbpdWToiI9DYK5kRExBEDslMor2mkrsk/MjcsL42GZl/U180FXTv6WvJS8pizfA7P\nb30ery86aRGOJ8ndc7fW5XuWA3BhsdbKiYj0RgrmRETEEVkpHqoaWkKJsIfl+RNX74vyurmgVE8q\nD3/1YYoyirjvw/t4cvOTPVIvEBp9zE71YKKRKb0TH3zxAYMyB1GUWdRjdYqISOxQMCciIo7ITHHj\n9VkOVjcC/mmWAGVV9T3WhjF9x/DURU8xdeBUni55mkZvY4/U29jiz3N303lDe6Q+gGZvM6vLVnNW\n/7N6rE4REYktCuZERMQRWSn+hNhfHPGPxA3L79mRuSBjDNePuZ5DDYd48dMXe6TOYFqCZAd3qTye\n5z99nvqWeqYOmNpjdYqISGxRMCciIo7ITA4Gc/6RuEF9U3GZ6Kcn6MjkgslMyJ/AvFXzuP/D+6Ne\nX0Ozf2Suq5ufRGrjwY08uPpBphVOY1rRtB6pU0REYo+CORERcURwZO7NzWWkJ7lJcifQLzO5x0fm\nwD8699iFjzF7xGwWbV3Exwc/jlpdVQ3NfH6wBoCUxJ65rT639TlSPan8/NyfKx2BiEgvpjuAiIg4\nYkRBBiP7ZTB7YiGPXzsRgNTEBF5cW0plfc/saBku2Z3MbZNuIzMxkwWbFkStnu/8aSXfnr8yUGf0\nR+aafc28W/ou5xWeR2ZiZtTrExGR2KWkNCIi4ojc9CSW/KR1EuwDVf4NSJZsLuPKST2/42KaJ42r\nRl7F/I3z2V21m+LMYsfr2Li3MvS4J6ZZfvjFh1Q2VjJz0Myo1yUiIrFNI3MiIhI1z97k32lx96G6\nk9aGa0ZdQ4IrgXv+eQ/VTdWOlt3s9bV6nuSJ/m31zZ1vkuHJYOpAbXwiItLbKZgTEZGoGTswi2F5\naa1Gr3paXmoed3/lbtbtX8eP//7jUE44J7R4W5cV7ZG5qqYq3tn9DtOLp5OYkBjVukREJPYpmBMR\nkai6YHQ/3t92kCN1TSetDZeddhlzvzyXNfvX8NHBjxwr19smMIzmmrnDDYe5/s3rqffWM3vE7KjV\nIyIi8UPBnIiIRNWXCjLxWaioPXnBHMDlp11ORmIGT3/ytGNlen2tg7mUxOgFc09ufpLPjnzGIzMe\n4cz8M6NWj4iIxA9tgCIiIlEVnHpYH0isfbKkelL51vBvsbBkIftr99MvrV/EZQaDubsuHc344myG\n5KZFXGZHmr3NLN6+mGmF0zh74NlRqUNEROKPRuZERCSqgqNVDZ0Ecz96dj1Pf7irR9oye8RsvNbL\nvFXzaPQ2RlxeMJjzuF2ML86JuLzOvLTtJSoaKpg9UtMrRUTkKAVzIiISVSmeYDDna3fOWsuSTWWs\n3XW42+Vba9tNd+xMUWYRt028jaW7l3LHiju6XWeQL7BmLsGYiMvqSLOvmSc2PsFD6x5icsFkpg7Q\nDpYiInKUgjkREYmqYDB35yub+K9XNrY6V1HbRJPXR31T96dgPvC3T7jysX92+frrxl7H9WOv5+1d\nb1NWW9btegFaAkGk2xWdYO6htQ/xu3W/Y1zeOO45+x5MlIJGERGJTwrmREQkqlIS/beaz8trWfl5\nRatz+yobgK6tp6tuaKaxpf11W8qqWbvrMMu3HujyjpmzR8zGZ30s3r64S9d3xhcI5lxRCOZW7VvF\nwpKFXDXyKh678DEKMwodr0NEROKbgjkREYmq8NxrlfXNrc6VnUAwd/rdb/Hd+SvbHT8U2CXzuidX\nc85/v9OlNhVlFDGl/xRe3v4yPtt++mdXBad3Jjh8N126aym3v3c7xZnFzJk4x9nCRUTklKFgTkRE\noiolLJiramgTzFX5g7lVOypYsvn4Ux5X72y/tq6i9uhGJjWNLTR7uxacffO0b7K3Zi/v7OlaANiR\n4DRLl4PTH1/69CV+svwn5KXk8dD0h0j1pDpWtoiInFoUzImISFSF515raPa1mioZHJkD+MGf13b4\n+trGFuYs2tDhOWttu/x1C1bs6FK7ZhTPYGjWUOa+O5elu5Z26TVtBTdAcbucuZ1uOLCB+1fez9kD\nzubZS59lWPYwR8oVEZFTk4I5ERGJqmR360TaSzbvp9nr497XSlj80d5W5zpKX7D0k/38df3edsch\nOBJn+bfzhzFztD9v3C/e2NJpGoTW7Upm4cULGZkzkvs/vJ/6lvquvqWQFq8z0yx91scjGx7hprdv\non9af3553i/xuDyRFSoiIqc8BXMiIhJVbTcH+fGz6xl391ss+McO9lS0DqBKD9e1e/2xpl/WNLYA\nUNQnleunDgkdf6tkf5falpWUxU8n/5RDDYd4bstzXXpNuODIXKTTLJ8ueZo/fvRHzhl4DvNnzicr\nKSui8kREpHdQMCciIlFXcu8sls89P/S8sw1PdpS3DuYamr0s33qw3XVvl+znzlc2URdIaZCamMCk\nwTncMHUIiQkuXlizp8ttG58/nqkDprJg0wKqm6q7/Do4ugGKO6H7wdz6A+v57drfcn7R+fx62q8Z\nkD6g22WJiEjvomBORESiLjXRzeDcNP7yf6YA4DJw4zlD2l23sfRIq+cvrC0NBWxBD/ythFc27OXP\nH+7i84O1gH+TFU+Ci7u+Ppp/nTaUFdvL2VfZ9WmTt4y/haqmKma/NptN5Zu6/LpINkCpb6nnv1b8\nF9e/eT0FaQU8cM4DyiMnIiInRMGciIj0mMKcFADOGZ7HuMLWUwlz05P4qLSy1bFnV+6mf1Yy+RlJ\noWN/en8Hf//kAHB0CmZqojt0/hvjB2ItLAtc0xVjc8fy5KwnafG1cOc/7sTr61oS8+A0y4QTyDO3\np3oPz215jmv/91pe+/w1rhl1DQsvXkhmYmaXyxAREQFwH/8SERERZwzMTuHc4bncdO5QTstPB+BP\n35vEGUVZPLhkK2+X7MdaGxqhavb6GF+czWcHajlQfTQFQXCaZjCYC98xc2AgYGyb0+54JvSbwNxJ\nc7n9vdt5Y+cbXDr00uO+5mieua4Fc3uq93DFq1dQ31JPfmo+D894mPMKzzuhdoqIiAQpmBMRkR7j\nTnDx5xunhJ7vnPe10ONxhdk8v6aU0sP1FPXx51bz+iwJLhcZyR1bLEANAAARTElEQVTfrqob/Bug\npIYFc0nuBDwJJrQ5yomYOXgmT2x6grv+cRfv7XmPWyfeesw1bKFgrgvTI6213PPBPbiMi5f/5WWG\nZQ/TtEoREYlIxNMsjTE/MsZsMcZsNsb8Muz4fxpjthtjthpjZkVaj4iInNrOKMwG4KOwdXMtPovb\nZToM5pI9R29h4cEcQHqSm5qGEw/mXMbFwzMe5qqRV/Fu6bvMWT6HFl/n5XR1ZK66qZrfrvstK8tW\nMmfiHE7LOU2BnIiIRCyiYM4YMx24DDjDWjsGeDBwfDRwNTAGuAh41BiT0GlBIiLS640syMDtMpR8\nURU65vVZXMYweUhfAO77xlhSPP7byeXjB4auS2kTzKUluantxsgcQEFaAT+d/FPumXoPmw9tZv7G\n+Z1e6+3CmrnKxkqufO1Kntz0JBcNvohvjfhWt9olIiLSVqQjcz8E5llrGwGstcHV5pcBz1lrG621\nO4DtwOQI6xIRkVNYottFQVYy+yobQsdafD7cLsMPzhvK4puncu1Zg8hK8SfTzkw+mlQ7GOAFpSe5\nqW5sob7JS1lYeSfiosEXcfGQi3lkwyPcsOQGtlZsbXeN13vsYM5nfdyx4g7K6sqYP3M+v5r2K1xG\ne4+JiIgzIr2jjADONcasNMa8a4z5cuD4QCA8yU9p4Fg7xpibjDFrjDFrDh5sn0tIRER6j/5Zya1S\nCnh9kJBgcLkMZxT5p2EGg7mMZDdXTSoCWu9mCf5grraxhSv+8AFn/WJZaDrkibr37Hu5dcKt7Kjc\nwXVvXsfqstWtznuPkTR8a8VW5iyfw7ul7zJ30lym9J/S7hoREZFIHDeYM8YsNcZs6uDnMvwbqPQB\nzgJuB543J7gIwFr7uLV2krV2Ul5eXrfehIiInBoKslL48PMKqhr8O1F6AyNz4TJT/IFbRrKHn3/z\ndD6+e2a7kbH0ZDdrdh6mZJ9/yuYn+6rojmR3MjeefiPPXPIMmZ6+3LjkRm5cciOl1aUA+DpJGv7x\nwY/53hvfY9W+VfzwjB/y7VHf7lb9IiIix3Lc3SyttRd0ds4Y80Pgr9ZaC6wyxviAXGAvUBR2aWHg\nmIiISKeG5KYB8Pbm/VwxsZAWn20XqIWPzCW4TKvpluHXNHl9oedbyqoZOzCr3XVd1T+9P1vXf5/E\nPh/wSeJKbn3nVhZevDCUNDy4m+X+2v0s3b2URzY8Qt+UvvzPRf9Dfmp+t+sVERE5lkinWb4CTAcw\nxowAEoFy4FXgamNMkjFmCDAcWBVhXSIicoq7Yepg4GiOOK/Pttv2Pxi8ZXQQxAUV5fhTG1xyegEA\n5TWNnV7bZb5UmsovYN6589h+ZDs3LrmRdRVLAS9VzYd56dOXuHzx5cxbNY/8lHz+NPNPCuRERCSq\nIs0ztwBYYIzZBDQB3w+M0m02xjwPlAAtwM3WWm+EdYmIyCkuPcl/Wwrmj/P6LAkJbadZBjdA6fwW\nluj2/62yIDOFZI+LQ04EcwE/fxFuv+BeFnzyEJsO/Yr04alct6wOgHG547hv6n0MzR7qWH0iIiKd\niSiYs9Y2Ad/t5NwDwAORlC8iIr2LO8FFamJC2Jo5227N3NFplp2PzF08toDfvP0psycV8lZJGeU1\nTRG3LdHtoqnFx5ayatJbJvL2t97mnr8/y6LNb/CDs85lxpCzGNt3LAkuZeIREZGeof2RRUQkpmQm\ne6huaMZaG1gz1/pWlRm2Zq4zw/tlsHPe1/hS/0xy05N4ef3eVrtkhvtgezmzfvseDc3HnkDi9dnQ\n7pmV9c24jIsvZZxLwxfXcNWI73FG3hkK5EREpEcpmBMRkZiSkeymqr6FYDaBtmvmZo3px83ThzEw\nO6VL5d0y/TTcLsMfln/W4fm7Xt3M1v3V7DxU22kZLV4fXp8lPzMJgKrAmr7gBihtRw9FRER6goI5\nERGJKRnJbqobm0O54dpu+1+Yk8rts0bh6mIAdcHofkwe0ocV28u59omVPPXBzlbnExP8t8KmFl8H\nr/a7+Zl1obYle1yhDVp8wTxzCuZEROQkUDAnIiIxJS8jiX2VDaFgrm1qgu44fWAWnx+s5f1t5fz+\nne2tziV5/LfCxmMEc0s27/df604gK8XTardNaD96KCIi0hMUzImISEwZ2S+DXYfqqG3y72jpxBTG\n0wuP5pira2xpdS44Mlfb5nhHktwuslI8VNX7ry2vacRlINmjtXIiItLzIk1NICIi4qgRBRl4fZZP\ny6oBcDkw6nV6WMLw4Fq8oGAag5oOgjlrLQfD0hokul0MyE5h7e7DNDR7WbGtnPHFOaQkKpgTEZGe\np5E5ERGJKaMKMgAo2VcFtF8z1x3FfVJDj+ubva3WxyUFgrlgbrtwSzaXMfmBZaHnLT7LFRMKOVjd\nyGcHa9hRXsuYAZkRt09ERKQ7FMyJiEhMGdQ3jcQEVyiYc2LNnGkzurdu92FeXFuKtZYkt39UraaD\nYG7XobpWzxubvRRkJQNQerieqoYW+mUmR9w+ERGR7tA0SxERiSmeBBdD89Io+SIwMufQTpFLbj2P\nnYdqufkv67j68Q8BGJKbFhr5q+5gmmWzt/WmKI0tPvqmJQKE2legYE5ERE4SjcyJiEjMGVmQwZbA\nmrm2ScMjKXPWmAL++4pxoWOHahpp8foX0XU0MhfctXJIbhoAU4b0pW+aP9fcQ8u2AdA/S8GciIic\nHBqZExGRmDOiX0bocYLDf3a8YmIhmSke/u/CNeyrbAilJKhuaG53bWV9M/0yk3hn7vmhY9Ye3UFl\n7swRTBrcx9kGioiIdJGCORERiTnBTVDAuZG5cF8dlY8nwfBFZT1NgamUHe1mWVXfQlaKp9UxYwxz\nZ45gQnEOZ5+W63jbREREukrBnIiIxJzwkTmn1syFc7kMOamJHKltpqnFC3QczFXWN5OZ7Gl3/JYZ\nwx1vk4iIyInSmjkREYk5hTkpZCb7/97oxG6WHUlPclPT1BJKU/D+tnIOVDW0uqaitok+gQ1PRERE\nYo2CORERiTnGGCYP6QuAt22Wb4ekJbmpbWwJTbME+OWSrYB/Xdwv39zC1v3V9E1Pikr9IiIikVIw\nJyIiMakgyx9EtR0tc0paUoI/mAtLIF562J9X7nBdM48u/wyA3HSNzImISGxSMCciIjFpQnEOAFmp\n7desOSE9yU1VfQt7D9fzlaF96ZeZxMellTR7few6VBu6LtmTEJX6RUREIqUNUEREJCZdPn4gA7JT\nmDIkOlv/pyW52brfn8vuqi8X4UlwcfMz69i4t5I9FXWh69KTdKsUEZHYpDuUiIjEJGMMZw3tG7Xy\n08KCtImDckhN9I/AfbC9PHT88WsnMn1UftTaICIiEglNsxQRkV4pLRC85WUkUZiTQt/0JCYNyuH5\nNaXsrqgjPyOJmWMK8DidtVxERMQhukOJiEivVJCV4v83Mxlj/OkPZnwpn90VdWwtq6a4T+rJbJ6I\niMhxKZgTEZFeadqIPIBWa/JyA2kIPiqtpLivgjkREYltWjMnIiK90mn56bz+o3MY3i89dKxvWIJw\njcyJiEisUzAnIiK91tiBWa2ehycIVzAnIiKxTtMsRUREAjQyJyIi8UTBnIiISEC/zOTQY62ZExGR\nWKdgTkREJCDRffS2mBc25VJERCQWKZgTEREJk5fhD+KC6QpERERilTZAERERCbPstmk0t/hOdjNE\nRESOS8GciIhImMxkz8lugoiISJdomqWIiIiIiEgcUjAnIiIiIiIShxTMiYiIiIiIxCEFcyIiIiIi\nInFIwZyIiIiIiEgcUjAnIiIiIiIShyIK5owxi4wxGwI/O40xG8LO/acxZrsxZqsxZlbkTRURERER\nEZGgiPLMWWuvCj42xvwaqAw8Hg1cDYwBBgBLjTEjrLXeSOoTERERERERP0emWRpjDHAl8Gzg0GXA\nc9baRmvtDmA7MNmJukRERERERMS5NXPnAvuttdsCzwcCe8LOlwaOiYiIiIiIiAOOO83SGLMUKOjg\n1B3W2sWBx9dwdFTuhBhjbgJuAiguLu5OESIiIiIiIr3OcYM5a+0FxzpvjHED3wQmhh3eCxSFPS8M\nHOuo/MeBxwEmTZpkj9ceERERERERcWaa5QXAFmttadixV4GrjTFJxpghwHBglQN1iYiIiIiICBHu\nZhlwNW2mWFprNxtjngdKgBbgZu1kKSIiIiIi4pyIgzlr7XWdHH8AeCDS8kVERERERKQ9Y23sLFMz\nxhwEdp3sdhxDLlB+shshpyz1L4km9S+JJvUviSb1L4mmWOxfg6y1eV25MKaCuVhnjFljrZ10stsh\npyb1L4km9S+JJvUviSb1L4mmeO9fTuWZExERERERkR6kYE5ERERERCQOKZg7MY+f7AbIKU39S6JJ\n/UuiSf1Lokn9S6IprvuX1syJiIiIiIjEIY3MiYiIiIiIxKFeHcwZY4qMMe8YY0qMMZuNMf8eON7H\nGPO2MWZb4N+cwPG+getrjDG/Dysn1RjzN2PMlkA5807We5LY4VT/Cpx70xjzUaCcPxpjEk7Ge5LY\n4WT/CivzVWPMpp58HxKbHP78Wm6M2WqM2RD4yT8Z70lih8P9K9EY87gx5tPA97ArTsZ7ktjh4Pf7\njLDPrQ3GmHJjzO9O1vvqTK8O5oAW4DZr7WjgLOBmY8xo4D+AZdba4cCywHOABuBOYG4HZT1orR0F\njAemGmMujnrrJdY52b+utNaeAYwF8oDZ0W68xDwn+xfGmG8CNVFvtcQLR/sX8B1r7ZmBnwNRbrvE\nPif71x3AAWvtCGA08G60Gy8xz5H+Za2tDvvcOhN/Luy/9tSb6KpeHcxZa/dZa9cFHlcDnwADgcuA\npwKXPQV8I3BNrbV2Bf5feng5ddbadwKPm4B1QGGPvAmJWU71r8C5qsBDN5AIaLFrL+dk/zLGpANz\ngPt7oOkSB5zsXyJtOdy/bgB+EbjOZ62NteTP0sOi8flljBkB5APvR7Hp3dKrg7lwxpjB+EfVVgL9\nrLX7AqfKgH4nUE428HX8Eb8I4Ez/MsYsAQ4A1cCLzrdS4pUD/es+4NdAXTTaJ/HNofvjU4FpSnca\nY4zzrZR4FUn/CnznArjPGLPOGPOCMabL39nk1OfU93vgamCRjcGdIxXMEfqr9EvArWEjIAAEfmld\n+sUZY9zAs8D/s9Z+7nhDJS451b+stbOA/kASMMPpdkp8irR/GWPOBIZZa1+OXislXjn0+fUda+0Y\n4NzAz7WON1TikgP9y41/JtQH1toJwD+BB6PRVok/Tn3/Crga/3f8mNPrgzljjAf/L/ov1trgPNj9\nxpj+gfP98Y+GdMXjwDZrbcwtjpSTw+H+hbW2AViMf6qA9HIO9a+vAJOMMTuBFcAIY8zy6LRY4olT\nn1/W2r2Bf6uBZ4DJ0WmxxBOH+tch/DMKgq9/AZgQheZKnHHy+5cx5gzAba1dG5XGRqhXB3OBqR5P\nAJ9Ya38TdupV4PuBx9/H/+X5eGXdD2QBtzrdTolPTvUvY0x62IePG/gasMX5Fks8cap/WWv/YK0d\nYK0dDJwDfGqtPd/5Fks8cfDzy22MyQ089gCXAtoxtZdz8PPLAq8B5wcOfRUocbSxEnec/H4fcA0x\nOioHvTxpuDHmHPwLGTcCvsDhn+GfV/s8UIx/55orrbUVgdfsBDLxb0JxBJgJVAF78H/BbgyU83tr\n7fweeSMSkxzsX4eA1/FPr3QB7wA/sda29NR7kdjjVP+y1paElTkYeN1aO7ZH3oTELAc/v3YB7wEe\nIAFYCsyx1np76r1I7HHy88sYMwj4M5ANHASut9bu7rl3I7HG6fujMeZz4BJrbUz+Ib1XB3MiIiIi\nIiLxqldPsxQREREREYlXCuZERERERETikII5ERERERGROKRgTkREREREJA4pmBMREREREYlDCuZE\nRERERETikII5ERERERGROKRgTkREREREJA79f+gJ1Q+WWmXKAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xb39a0b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mu_60d = pd.rolling_mean(val['diff'], window=90)\n",
"plt.figure(figsize=(15,7))\n",
"plt.plot(val['diff'], label='X-Y')\n",
"plt.plot(val['mu'], label='CMA')\n",
"plt.plot(mu_60d, label='60d MA')\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From here our trading strategy is identical to that for a single security, where we replace the asset with the spread X-Y. When we short the spread, we buy Y and sell X, and vice versa for going long. We'll be using the CMA for the mean, but you can easily change it to see the difference. Keep in mind, however, that what works well with this data may not be suited for other situations, and each definition of the mean will sometimes outperform the other."
]
},
{
"cell_type": "code",
"execution_count": 132,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\Chandini\\Miniconda3\\envs\\auquan\\lib\\site-packages\\ipykernel\\__main__.py:2: RuntimeWarning: divide by zero encountered in double_scalars\n",
" from ipykernel import kernelapp as app\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"6527.55837\n"
]
}
],
"source": [
"# Compute the z-score of the difference on each day\n",
"zscores = [(val['diff'][i] - val['mu'][i]) / np.std(val['diff'][:i]) for i in range(len(val['diff']))]\n",
"\n",
"# Start with no money and no positions\n",
"money = 0\n",
"count = 0\n",
"for i in range(len(val['diff'])):\n",
" # Sell short if the z-score is > 1\n",
" if zscores[i] > 1:\n",
" money += val['diff'][i]\n",
" count -= 1\n",
" # Buy long if the z-score is < 1\n",
" elif zscores[i] < -1:\n",
" money -= val['diff'][i]\n",
" count += 1\n",
" # Clear positions if the z-score between -.5 and .5\n",
" elif abs(zscores[i]) < 0.5:\n",
" money += count*val['diff'][i]\n",
" count = 0\n",
" \n",
"print money"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Alternative approaches\n",
"\n",
"Mean-reversion strategies assume that trends tend to reverse direction. On the opposite end of the spectrum are trend-following or momentum-based strategies. These hypothesize that prices will, despite fluctuations, generally move in the direction they were moving in before. They can also take into account how quickly a price is moving, and anticipate changes in the direction of movement when it slows down. These are covered in more detail in another notebook."
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@chetansaini39
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I have question about the pair trading. You stated that the p value is small but in-fact its 0.963589073908. p values range from 0 to 1. So could you please elaborate your findings?

@EM5813
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EM5813 commented Jul 3, 2021

pip install auquanToolbox is not working. Do you use a subsitutes library. Any suggestions?

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