{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Cryptocurrency Returns Are Heavy-Tailed\n", "\n", "**John Stachurski and Quentin Batista**\n", "\n", "A well-known phenomenon in Economics is that financial returns tend to have a fat-tailed distribution. Broadly speaking, this means that the probability of observing an extreme event under this distribution is larger than it is for a normal distribution with the same mean and variance. This empirical power law has been well-documented for a wide range of securities in many different countries. In this notebook, we attempt to determine whether such a power law holds for cryptocurrencies by estimating the distribution tail of their returns." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Getting the Data\n", "\n", "We obtain data on cryptocurrency prices from Poloniex, a US-based cryptocurrency exchange platform. The data is available at different frequencies. We choose the highest frequency (5-minute interval) in order to maximize the number of data points. Below is a list of the different currencies we analyze:\n", "\n", "- BTC: Bitcoin\n", "- ETH: Etherum\n", "- BCH: Bitcoin Cash \n", "- XRP: Ripple\n", "- ETC: Etherum Classic\n", "- STR: Stellar\n", "- XMR: Monero\n", "- LTC: Litecoin\n", "- REP: Augur\n", "- DASH: Dash\n", "- NXT: NXT \n", "- ZEC: Zcash" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "\n", "def get_data(symbol, frequency):\n", " #Params: String symbol, int frequency = 300,900,1800,7200,14400,86400\n", " #Returns: df from first available date\n", " url ='https://poloniex.com/public?command=returnChartData¤cyPair='+symbol+'&end=9999999999&period='+str(frequency)+'&start=0'\n", " df = pd.read_json(url)\n", " df.set_index('date',inplace=True)\n", " return df\n", "\n", "tickers = ['BTC', 'ETC', 'XRP', 'ETH', 'XMR', 'LTC', 'STR', 'BCH', 'NXT', 'ZEC', 'DASH', 'REP']\n", "tickers = ['USDT_' + ticker for ticker in tickers]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": false }, "outputs": [], "source": [ "# Sometimes fails -- run again if it does\n", "\n", "prices_df = pd.DataFrame()\n", "\n", "for ticker in tickers:\n", " prices_df = prices_df.join(get_data(ticker, 300)['close'].rename(ticker), how='outer')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use the first order difference of the natural log of prices as a measure of return." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Log difference\n", "five_min_returns = np.log(prices_df)\n", "five_min_returns = five_min_returns-five_min_returns.shift(1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data Visualization\n", "\n", "We begin by visualizing the data to find patterns suggesting the presence of heavy tails. Using kernel density estimates, we plot the distribution of the returns." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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5+YO8vDy/B4POVUFBwaDNZvvylPiKFStm3XTTTcd8B46eeOKJI7///e9ndnV1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\nR6arI5k5RjvHThlesJUHj7+OQ9O91S6aJGmRDJm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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "density_df = pd.DataFrame(five_min_returns.stack(), columns=['return']).reset_index()\n", "\n", "%matplotlib inline\n", "\n", "kde_plot = (sns.FacetGrid(density_df,\n", " hue='level_1',\n", " size=8,\n", " xlim=(min(density_df['return']), max(density_df['return']))).map(sns.kdeplot, 'return').add_legend())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This plot suggests that returns can sometimes take on very extreme values as evidenced by the heavy tails of the estimated distribution. However, not only is it difficult to differentiate between currencies in this plot, it is also hard to see what exactly happens in the tails. To better understand this pattern, we plot the returns over time with some deviation statistics." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "USDT_BTC\n" ] }, { "data": { "image/png": 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ZERERERERqbpq99JprS0yxtwNjAOigRHW2mXGmCFAorXWE/xdBXxjrbU+ix8OvG+MKcEJ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\nZTPrcs7tNbMuSfvzbOMl//c5M3tY0hxJ35I03MwSvpZvgqS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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "1.44% of observations are greater than 3 standard deviations from the mean\n", "0.76% of observations are greater than 4 standard deviations from the mean\n", "The maximum deviation is 198.46 deviations from the mean\n", "USDT_ETC\n" ] }, { "data": { "image/png": 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9n+mK/3wdfD/4c03yePbyDWyyZS9qofPbm/Oz9Jv/W9gi20LjxLqWevhn0WwC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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "1.6% of observations are greater than 3 standard deviations from the mean\n", "0.69% of observations are greater than 4 standard deviations from the mean\n", "The maximum deviation is 70.16 deviations from the mean\n", "USDT_XRP\n" ] }, { "data": { "image/png": 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REREREZEApYBNREREREQkQClgExERERERCVAK2ERERERERAKUAjYREREREZEApYBNRERE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\nJcZzdnXuNZDPJ7xLVFiI37n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ibnWy2A1c8hKZ+/aSPew8b0KPSkElObjbIAAtSZyMLS1g\naHg+7qBQ9m1aTk5YTzpfXHUTN++dv3LkYSMoi+rJ7i1ryUl3vrcr90nhOzf4f+fO/BLnyuFNv/UA\nXL+8QvDpdzrb/fgiwb2HE7TpZ4YP6gv4J/oKjjuIqNNvxf48lph+PYnZvYht8RcR3Ptgst+/FRMU\nQujgkUSkJXq/c9etW0env73v/ya/HQ2XOLnl8t68DrfbTXjChUSeeCUlKycRGR6KPfQc+qz5kA3z\nf3Lq7n0woQMTKFnyOT179qR3v364XC7WrFnjHLd5TlKIHJzrvT4HHUW5y7J10TRnuQki+sIHKFn2\nFdEXPQhAt5Xvs9vGULF7IxWp67zfu77Xe6t8rvfCi8Jw5+2jq2svnWNj6Tbnv2zdupWww84i6nc3\nULzwE4Ji+hA+4jS6b/8J95a55Ez7sMYxjrtkNGW9j3DOvcSfCYk/Blf6DqLPc27Gxy57m+yR/glI\nypNXEjqo5tz1/IkPeT+nKvVe/Cp7TrijxrqV+i8Yw67fVN34r9i7lZBezudfzhvXkJCQAEBKSgqZ\nuQUEdYmjy+XPUrFvGyFxzk3sgUvGsvP4u73bVHY9FISGcli6E0DkT3vVe71XudybZK68kIqPbqE0\n7lBcmcm4c53HckRFRTH0kMMoj4glOXEenHA9QV3iKPjuccC53qu8Xt6waQsV0b1wpVc9TqZLly7e\nc6/wnRuwPYcRfdEDuDKSyf/qfmJjYxk0yLmGWb16NTYqlqDwaKLOvpv8T++le7dYBgxwQhLnc+9L\nb9k5QM+en9HP59zzfW/gnHvxpWMoLy9n7bp1wHyY9SVUlJJjLX379qW36wtvrOGpyLt9vwED6R7X\nm5L8HJI3v046wMprwUCOtX4JDrdtbfgZer5aI2BbCgwzxgzGCdSuBK6ub4PIyEjvCZXkee2ee+7h\nv1VJIemStoyuBWsI9qznm2pz5POLAbxlQM1Um7m9+5EN9OjRg+4JCdx7772NSuvvm166ehurO3TE\nCELKnMxTY8eO9T4OICEhwW+bhIQExo8fz8EHH8ykSZO4Y37Nsnx1iopiqM97A/jqq6/83ndl+ZVt\nnDJlClFRUbzw6hu8muoEYQkJCZRE92WPTzm9e8URX63syrT+N36wjBkb9jJ48GCiYqoeIuub1r96\nmtfKdsyaNQuoSuvvyzfF8A23/INZQEhwkLftCQkJfOtZ97jjjmNTRGd8BxFec8013jSvZ1x/N/6P\nyfW0sXMUyx86i3PPfYviGKfc8swlZHbtxkWDXHyRM7iWrfyteepizls5vsbx/udBmby4rSppyaBF\nz1PWqRdBrhLKI7px65/OxjXgON6cvZWgZZ8Qf9SRftvfe8uFVeferlnALijYhQ2D1JJsKiIaF1V+\neM0IHnjgI4iFog1fUhERS07/3+AGFj13HSsWDuLJJ32P9m44ZChX3P4Pnpuzl2P7dSL9h//h3hFO\nynF3+pW9aNLHfP755zzz3QpyqgVsPaNDSS8o544hmby6vXEZpyoNWPoKM6dNrfEMH1/rHz+bQx/+\nqc7l/WIi+ebvv+Hep15lnnsYwwtWk4x/wPafcw5hU8mRJCbOJz2mC4U9D2/UIwtCbDl/O/Vg7jt3\nBL+/6QHy0rZT0jWeoIpiuuQncuJhkTz02Nl0Cj+fSy9dQWZmpvf8CAsJorak5HEbvyIqZwe5fY/3\n3hFf8sAZXH6hc5cua9Bp5PUZSZe0ZdxyyW/4+99vJze/gKOeml1vWxvkyZYHEFRWSJ91HzP6HzdW\nnXuLtkPl3/6iMaQPvYDCHo3PqDlg2asU9DyC7EGnAk6PzfW/HUphSBdy04OZmuR8ZvRe9wnWBLP3\n0CsAuOfM4Qw56e+88MILcKhz44YNH8LQAUyoJa1/j62TKe3Um/iEBL76vxPIcUdw5otV+6bznpUE\nlxfQNXWRN735v44N9fv+GJY2A/p1YdazzmM3nn9+Az/88APFnru23ZJ+ZsSwvlR/ctURB/XD4Hym\nR+/4krWD/8SEvx3PFDOPhQsXYhdtYPcRf6bL3pUMjShk8MV38ehFhzH6X/eSWL4FjjgMm+gEen0O\nOYbxLz5N18jz+fMtdzA71jn+scmzGBSexdGDBzJ27L+BfzvprZc6KdnTDr2K4PICzuyex/ccz8Tb\nRvH0lsPJzMyEHs7dKrfnYssYWPX4+Rz5yI/eYz9o0fMYLBf4pLf2T+vvZCy8/PIb609vfcnR3HDD\ny9XSW2eTmbacqJxt/PORR6q+cxf1AfoA2TBsEJDHvQ8+4z33brr175RlLie+VwT0cs7BB88M58YZ\nzid9z03fkH7wHwCnp6d/4ls88tCD3Di15rPWInJ3EpW5kawhv+fne09hx6pwnnxyhbdcqPpemvPL\nDCZNmsQLL7xAekYPCnscSmzSL3Tds5wJEybwu9dX1yi/0oWH92TS2vQ6l/uKXzTGO3LmkBIn39qs\nH2cBTmr1H374ARaNoShmMGFF6XQeeUytj9JJcrsgKJiTTz65zu9c3/f36lVH83PJCBav/oCwon2Y\nGKBkA8PPOrXWtP4AbE6DkmMAACAASURBVPyYhPPPYuzYsQBcdd0NJK1eRPzhlb0peYzy+c699NJL\nWV7t/f756iu49a7TcbktN606geLiYsojCkgFhgRncsnvTuD3V55EwoDz/c+9sk2QkND81Oo7J0Fc\nOLcmFHD55ZeTmnqkk1q9RzD0qPrerft6bxd0gQcffMH7GKe7774bSwaFW6fQyeymKLgT6cAHLz1B\nXvK6WtP6H3nKiXy/qZA/nn82CzNXgGsHdAP30pexQSG8/fpLnP2e/8X4sLQZZIZbv56Yp44q4K1F\nXfyuOfqueo/vv/zIe70XkZNESUy8d7lxlTHtxykc+vhM72uDd06FFIM7OJT4hATv9Zj33APs4hcx\n1kVkWuVjnM4nfvRkwvNS/K6l67veg9of40SXyr//2h4psQiy8X73JCQkeM+9yrT+9Kuqv3pa/8zM\nTIo2fElk3k5MQkKtaf0BWP8BHHVkPZ97jrZI6++rsbFGtbT+NdarTWul9T8PGIuT1v9da+1T9a0/\ncuRIu2zZMgDvF3XSs+d7f/7q1lGMjO9W5/a+29TlnXk7eOKH9fzlpHgeufCwOterq2zf8ut6YOb8\n0afTLyay1nbVVk5tddTmxCHd+OzmUTVer6386mXnFJWR8Ph0osNDWPvY2SxPzuLS/1X9wR07KJaJ\nt9XeA3HjB0uZsWEfb10/krMO7VVvG2trU2NkFpRy7JMziIkKJfHh39co55vbf8PTUzawNKnq0QK+\nZc9Yv5cbP1xWo9xeXcJZfH/dj0x4bNI6YiLDeGlGzd7VXl3CeeXKozlhSHe/toDzoPEFo8/gxGeq\nnk3X2PfaGM9M2cD4OdtrvB4abCh3Vf1t1lXnd4mpPD5pPYvvP4OQ4KBa1/lyWQr/+mo1lx7Tnxcu\nd1Jsr9+dR15JOVe+uYi+XSNYcJ+Tvt5ay+D7pvht/7thPZjwtxNwuy1D7p9So/z61PY3tPC+0xn1\njDNM+YqRA3jusiNr/E28ff1I73He8cx5NR6+fM7YOWz0PBT3z6MGMfrcEUSG+c+X3J5ewOkv1P9B\n2JxjOXH5Lu79chXDe0Uz5c7fMX39Xo7o35WF2zL508iqwQYpWUX87r8zG11PQ58Lyx88k0cnrWfS\nqpoPMb84oS93njGMMzzvtzH1vTlnG09PqXp+1xmHxNE5IoRvqz0k/d0bRhJkDKceHMcHC5K8zzKc\n++/TGNDNGepUWuFi3MxtXDdqEP/f3r3HyVXWdxz//vaavSS72SSby+aekIQkhCSEJCQxIWRztTWA\nKJfCCwREwFpFKaBg8YJIsVV7sWparVotbRUQWoUClhYEFSNyCQTCRTTcQcvFooGQp3/MmdnZ2bnP\nmZnnnP28X699ZXcu5zzzy5yZ8z3Pc54ztrN10Ov50MY5et+G/Ne/yvd5KUk37npGHa1N+ofbf6HP\nH79YozsSvZSfvXmPFvV1qX/++NQyzuufo/f3517frqde1oJJo2Rm+tWvX1NXW7O62rP3bIXp1oef\n1743DmjLwqHXkazUGV/7qX7w0POSwv18qrb074+9v3lN2/7qdl3/vjWaMbZj0P3p9ly2Vc2Nplf3\n7deoEdn/36Zf9D2NGtGk+z62OXXbh6+5T1fdtVefOmah/mjFtJzLP3H5VJ175Cz1dbfpuC/dqbt/\n9ZKOXjxJJ62Ypnd++UdDHj+1p123XbBet+15Qe0tjXn3XQr57b79OuBczteVdM/elzSiuUHzJozK\n+7iwzL3kBu1Luxj1nsu2qqUp+/dNHPzu9TeHfJ+ke+X3b+gv/vNhfWTbwRrRnP1xf3nTw/qb/0qE\ntq62Zt176aYh36HJ77bkfps0sP3eu/clbf/CHbrq3St14t//WCcun6Kr7tqrty6aqC+ctDT13v3m\nGSu05qDcoxvyOXAgsY/R0GAFHolqMrOaTToi59z3JZW2J5dHJR94tRT2e/wrpy7TGV/fqcYQFpzc\nv83M4/kWXct5KXI1w8zytsNyPLGpIf+XRzK0JwPb/R/bpEM+lrjcwoVb5qXCmiRdc+4qHft3d0qS\nHv/0W/Xsy79P3fcnR4U7u+nUMe1Zb2+wgUsl/OO7co/R3L64T9sX57++0Kb5E/TNyb/U+9LaPn/S\nqNSy508c+NLPDEbp8tyls9fN0pf+J9H32X/weN2y+7msj/v5RzemdrYl6VPHLMz6uP754/PueN74\ngbV69PlX9dt9b2rxlOzDmprTAuyVxy3Sa/v267TViZ7W5A5dOY5e0qc7HntR71k7S02NDdp6SOLI\n4juWDf6/TIaZsIzpbNWRc8alAtua2WP1w0dfTP0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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.42% of observations are greater than 3 standard deviations from the mean\n", "0.22% of observations are greater than 4 standard deviations from the mean\n", "The maximum deviation is 174.45 deviations from the mean\n", "USDT_ETH\n" ] }, { "data": { "image/png": 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ntnnvvfjii8rIyNTTTz+lJ598Uk5SZcYeSipcIpPTm1OmKDkpabvuvfBd/93f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\nTgObc+6obW03s/MkTZJ0pHOOIAYAAAA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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.31% of observations are greater than 3 standard deviations from the mean\n", "0.17% of observations are greater than 4 standard deviations from the mean\n", "The maximum deviation is 330.58 deviations from the mean\n", "USDT_XMR\n" ] }, { "data": { "image/png": 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ciIiIiIiGgiEX2O0orAMArNxb7rFscV0rDlU2YcPBavbyERERERGR3woa7AZ4pR9jrgte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\nWzNjRNL3jYXsAAAAAHiGrpgAAAAA4DkCOwAAAADwHIEdAAAAAHiOwA4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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.38% of observations are greater than 3 standard deviations from the mean\n", "0.27% of observations are greater than 4 standard deviations from the mean\n", "The maximum deviation is 131.79 deviations from the mean\n", "USDT_LTC\n" ] }, { "data": { "image/png": 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x9KM/6olvagf7WLuzuMkP+T+tq9+l5P4vVujez1Zo065Sfbxwqy57ba4ue22u\nRv39G10+cZ5Kqzw69okpevKb8AYWeeq7tUG/b8wp1XkTZoW1rSStzy5tcFnd43O3IPCGammtnZYh\nsvfw3fnxMj06eXWDy2uujZEI7nVFqsgR907W8HsmN7neup3F+mJJeFNRbMkv09ZGgn04cksqtT67\npEXbLtwcemqN3708W1e+Pl9Pfrs25JcJ1lr984d1TX4Bsic9+vXqoHta22tPgismzm3TN+bXZmzS\nlDU5entOZpvVAfWVVblb/HfcER35yI96aNJKrc/uuF3fTn5mus5txnt6NJgwbUPQ+1u1x6tBd0zS\nLe8vbsNaRVZOcWWLexvllzlfpLUy7+mez1b45z5uymNfr5bba/2D32Hv1e4CX0Na0wReE+CmrsnW\nyc9MDxref9mWQo1/eppmrK/tl3/pf2q7lMzc4Dy+Zkd4bzwvTFnf4no2R2PfEH22ODhQNHxxamTi\n9UauZ5GaliHQS9M2Nris5rkvqqj/oSe7qEJfL9secrvJy7dr4oxNKgsx9UJNKC4P8eH68Ie+19qd\nxapu4Ftmr9c2+KXB6zM26fHJq/1hqeYm7ds/XKL//LxJv3xmuv707iJVe7x66ts1Kq0M3YpWc1/X\n0Y/+2Ko3zJOenqbxT0+T5LRS3/nxUuWWVIa1bWAoGnznJFlrlVdapWVba+9/W7OzWFf/d74255ap\nsLxa78/P0qyNuXrqu7U69okpGnTHJD3wxUp9uXSbqtzesL+5t9bq758tbzB01rVqe5H/b7Wu9dnF\nmjBtQ1jltNTCzfnN+hDg9ng1ccYmDbpjknKKa5+PKWtyNDvEN7cV1Z498uE3xuW8JTT2JVF2UUXI\nvynsPte9tVDjn562W7702h2stZq7Ka/FPSh2lVTqlZ82hRxpekdhRYPXzebaWVShN2ZlhLXu6w3c\nGhHtvF4b9uvu0a9X60/v1k61tHq7c836eOHW3VK3SFu2pbDR3g3bC8t12EPf67kf6vdumbR0u373\n8iw9NGllg6/7rDznC9xZG8Jrnauo9qioonW3VNQ8dUbSmL9/o3/toc+oaH9i27oCdUWy216NFduK\nNOiOSerXNUmStHxroc47tL8k6a8fLtH67BJd/OocZTx6Rr1tF2Tk66j9erS6CV6KzD16FdUe7Sis\nUGwj9amuc3H21Dmnf3x7gf510cGNd+lspA57epTOwJA3/ulpOvOAfTSwe7KuP36Izvn3TG3Jdy6i\ngc/foDsm+X++/4uVGj+il6o9Xq3aXqSLjhigZ79vuDtidnGlTn5muo4Y3E1zNuX5y37q2zWqqPbo\nlZ+cN/7VD56qlduLNKJ3mn98q0EnAAAgAElEQVTb+75YKUl6ceoGZTx6hq6Y6HRdfX9+8ByC+//t\na0nSP303ca9/6DRVe6yKKqq1PrtEH8zPClr/44Vb9fBvxigxLkZVbq8ycks1tFeqVm4r0srtRfr1\n2D6KjXGpoKz2zWrkvZNVVuUEWo/X6vHJa/Tu3CxVe5znZsQ+abrqF4NVVuXWrA25OnhAV3XtFK9j\nH5+irPyyoGBvrTT4zq/qnavTnvtJkvT9qp0Nns/XZmzSazNqf7/m2H21Nb9c9509SlPWZGvC1A06\n5+C+uuGEIf5w7/Za/XdWpv47KzPk32VD9Zj3t/HKLa3U8IDn5Mlv1tZbf2t+uXaVVKpHSkKTZTfl\nvzMz9PfPV+i2k4fq+uOHNHmtyMor04tT1+vduc5zvHZn8JcYizYX6PhhPYMeu/WDJZq0dLuW33+K\nUhJaf9mudHs07O7J+r9Th+v64/eT1+sMGlVzXWnsA97hD/+gEfuk6eubjml1PRCen31fWjofJNtR\nH2BJD3+1Sv26JumycYP8j322eJtufm+xnjrvQP32kH7anFumY5+Youd+N1a/Gts37LIzcss06I5J\nOuOAffSviw6WJB35yA/OsjCuC3XllVbpklfn6OXLDlFeaZXOfsG5MOUUV+qmk/ZXdnGllm4p1Kmj\ne/u3Ka10q1NCrP/aLkkLMvN0yMBuYe2zrMqtd+dm6cEvV+rVyw7V+JG9gpZvKyhXcnyMuiTHN/t4\n9oQTn5qqLfnlWv/w6fWWVVR7VFrp1pb8ch3Yv0u95V8tD/1lbHtR6fbo0a9X6+aThqpzcpzOeuFn\n7dujk3687fiQ6+/w9RKZuiZbf/nl0KBlN/gG3Zq9MU+v/LRJlxw5QHecNiLk9TqvLLzWtl+9MENr\ndhY3+FrP2FWqQT06NVrGDt+gfUc9+qMk6Ylv1uiGE4Y0us3GnBLtm54SVh1bo7C8Wp2T4nb7ftoL\nt8er2BjnS9XFWQWqqPboyH2777H9m0jcw2SMOVXSc5JiJL1qrX20sfVjY2Ntv9s+C7ksprJIuROv\nr/d495Oulmf/E4IeK5hwsf/nPn36KL1nLxWk7afM6R+py3VvNbj/6s1LVPrV45KkLte97X980Own\nVFJSol3j7/c/Vj73A1Uu/FQ9zv+H3N0GN3ZY9epVU3bBhIs1dOhQVQw/XUV9DlP5zLeVdNTFjRWh\nggkXB20/ctRoVfY5SPkJveXtN1blcz9Q0uHnhdzWvX21YvcZHvTYwNlPKPPIv9aW/+qVSrv4GbmS\nOgcdf8bOfOlXD8tbmq+iN2+UJMXFxWnUqFHyxsRr82E3yXqqVfjK5UHnrq6ynyaqasX3kqTk5GTF\nX/aKJKnq3T8p/sJ/ht7IelX+1o2qLC2USUyTrSiSpEb3E6hrxo/K2+cImYTGL4CR4i0vlisptcHl\nnqJsxaT1bHB5oPS1nyln6K8aXSemeIdy375VSb+4XAmjf6nyWW8raVzt6yh54dsqO7jx11VdVetn\nKX7IOP/vxR/fq9RzHmhWGRGzYYYqivJUuehzdb7yFf/D+yz9rxLKsrVx40YVFRUFbZKQmKThw4f5\nX9vWXSUTG6+CCZdIskpOTlby+Y/Lndg15C7dn9ylffv1kpXR2uWLVVlZqfhhx8m9baViegxSUsEm\n7TuwnyRpxeq18nTqIVuaL1vhfHPdpWtX6YIXgsoMvC51795d/fs7Xy4tXrZCaZc8L1dSmppS+Oaf\nZCtL1Su9u7oNHq3tB/zev8xbXqTSb56R3FXqFV+lnj17qqKiQqtX1+kWbYz69h+o9G5dVFZWprVr\na4Ovq2s/pV3wmCRp4JynlXnELZKk8rnvK+nw81Wx8HNVzH1PgwcPVufOnVVYWKhNm5wvOgKvS0OG\nDFFKSory8/OVmVm/G+jQoUOVnJysXbt2acuWLfWWDx8+XImJicrOzta2bfW7Oo8aNUpxcXHasWOH\nduzYUW/5mDFjFBMTo61btyonp35X/LFjx0qSsrKylJsb/K26y+XSAQccIEnKzMxUfn5wa3JcXJyG\njT1cxutW5rpV9V97CQkaMWKEJGn9+vUqKSmRq1t/pZ3/qEq+fkrxOas1dKjzoXDt2rUqKwvu4pyS\nkqIhQ4bI64rThrhBKp37oSTJdOomW5qntNRUDd5viCTjf34qFn+p6k3zlfLre2WMSwPmPiuXt1pL\nly6Vt87QyEGvvcVOD4G4ob9Q9cZ5krtS6enp6tu3rzwej5atWCmTkCJbXtt637t3b/Xu3VvV1dVa\nsWJFvXPbp08f9ezZUxm+v73CN2+ULXXOYeJh5yrxkN8oJXuZ3NVVKonrotie+0ly3nvkrtTAgQPV\ntWtXlZSUaH3mFsV0H6jUX99bbz81qrcsV/W6mUo+4RpJUtefnlLnOK//tRfTcz//tatgwsXaf+hQ\nJSd3Uu6uHO1MHKCkoy9r9HodqOj9OzRinzQVDj1DJb0ODLlOfPFWGeuRZ8br2pW5RvEjT5J7+xp1\nOvnPqlozXUlHXhhyu8I3bpBxV+qAkcMkyX/+Aq8bcZ06a/iIkYpxl/uve7GDDpEtL5Rn53olJCRo\n6AGHyFVdpg3r16uk0iO5K/zdb5KTk2tfexsyVFZWKnlqW4pqXnuStGrVKlVW+noZGJcUE6cuV7+m\n7hu/VWr2kpD169q1q7offIp27X+W/7GSSY8r5YzbJUkxH/xZfQcO1ubD/+JfXvDK5TJxibIVxf7X\nXmVsilYtmFGv21BDr72azwU1r71SG6d1S5wvVU1Kd8UNPFhVK75Tv3791KNHD/91LyZ9sLxFObKV\nzpdrAwcOVErvQdp6kPNaqlzxvcp/mui/tnX95u561z1Jiuk1RKm/cT4fDpr9RO11z7jU5do3Qz7f\nxR/cJU9uppLH/0nxQ470P+5ylyt++j+V605Q9aZ5Uky8THySTGKq9tt/mFyJKdo5wvmMVzjxWll3\npfMcxsary9UTa8/rS5coYcypcu9YK0+205Ol5rq3uSxW3hP/orr6z3teNiZBWzLWqbC0Up0v/afv\nOb5EKWf+n2L7jVH6mk+1s6BERct+lNy1vVCCrnuZW1WmBHnza6/tycnJGjzmMLncldqkdFXm7XCO\nzyclJUV9Dz5Rnrhk7dr/LHmLd6l60zyVz35XSeMuVvzIEzVw/gtyWbfz3Pc9UN6SXfLsynCem65d\nNXDgQElyrnuuOMnrlrzOl9uhrnuB0tPTtU+/gaqOTdKa9RvlzQ9ufQ73uhfqPTcmfV91OeoC9d4x\nU9X52/3vubH9xqjT6bfLuFxK+ek59Yir8v9dFb17q/I3r1lgrT203s4irNWBzxgTI2mtpF9K2iJp\nnqQLrbUrG9qm8cBXrNyJ19V7vPuJV8kz9MSgx+oGvoQDTlP+oBNVNuUlJZ9wbYN1tpWlKpx4jUxC\nJ3W+4mX/44NmP6GcrqNVOuw0/2P+wHfeg3J337fBMkPVK5KBb9CJF6lgaHjfaFZvXaG4vqOCHqsb\n+LzFu+RK7RG0TlDgKytQ0Rs3SAoV+NwqfOX3TQS+11W14jtJUnKPvoo/1wnYVZ/8TfG/eajB7Sq+\neFDumASlnH673DvXq3rTvAbfOKNJSvZSlfQ8oMn1CiZcrJRzHvB/eELDqtb+rPihv2jbSrgrpdjW\ntyI2JDZjltRrqDwxibLxzhcd3uIclc98S8kn3SAT2/pWA+Oplo2Jk/V65MnLUmyPQa0qL9wvQipX\n/qBesRVyxcapqLxaxUWFShp3kUq+flKupM5ypaUr8eBf1y8/d7OqNy9R4kFnKTl3jcq6D2tVfSOt\nctVUubOWKPnI3ykhRqrq1KvpjZrgLcmTK6Wb3DvWqmLBp3LvXKtuPXqq84GnKH/gcb79TlHCCOdL\nU1tdIROXqM5bZ6uwb+2H0Kr1s1Wx4GPFpO+rTidepx7rvpQp3qEsV28ljj1T1ZmLFDfwIFWunqoU\nd7Fi+wxXebf9/dt7crMU071/q49nb1U6+Wl1OvWWFm9fPvNNJR11qSTJVVUqb3zwl59lP72uuEGH\nyKz6Rr32GylPXIrykvrJld70ZxvPrkzF9HA+aCt7ndRz/8Y3aCbr9arwtaslSV3PfUC2Sz/1nvO8\n1meXKOHAM+TJ36rEA+u3MoaS9PO/lNath3aOvCDonJZMekyxfUcpceyZ9bap2jhX8fseLkmK27Fc\n1b1Hq9Oit7Vz+1alnH57hI6yY6uY/5FiEpLVo1sXxZfsVM6w+tffSHJvXqzYAWPDX3/bSsV26S0l\nd1Patnkq6nNY/ZXK8qXk2i+AqzMWqHrTfMX03Ffls99Tr336qvJ0J9RXLP5SCSNOlElIVsX8j2U6\ndVXCiBPUKWeFStNHqTprqcqmvqLkE69XXN+RIesUzueQzMfO7DCBb5yk+6y1p/h+v1OSrLWPNLRN\nfFIn29gFplNCrEor3UpPrf2glFtSVa+bYGJcjFITa5vL80qrWnWPQ6zL1Lt3xWWMuqfEB91n05Sa\netdsU/f3cLiM8R9vemqCCsurVeVu+chlXZLjg7r7hZKSEKuSOvdGpCTEqrzaI4/XhlVGoJYcNwAA\nALA3qMxavkcCXyTu4esrKfCGoy2Sjqi7kjHmGknXSJIrPrHR0WJqbsguKq8NH8ao3o1lFdWeoJ4A\nrb2zIdRABV5rg+oRjrrrN3f7mv0Gbt/anrfhBLW6Ya/uY80Je1LLjhsAAABA5OyxQVustS9LelmS\nUlNT7SG+GxXz+h+ror5OPuy76GXFVRb6+7YOmv1EUBnVCV209aA/BD1Wd52iXgcpb/D4kN0ZQum3\n4EXFVpcq48i/KqaySJ6E4Ptreqz/Sim7VmjrAZerOjk9rGOtW6ca2fufpbLutffWDZz9hLYcdK08\nCWnqt3CCthwc3JW1oXIyArpmhluX7SMvVGVaP/Ve8Y4Si7fWK2fQ7Cf8vw+c85RkrTKPvE2SlJy7\nRi5PpXps/Cb8/XvdGjT3mZB1TsleqtLuw2Vj4ht9nrpmTlVC8RbtHH6e7G7sFtdRDJzzlDKPuLWt\nqwFgL2E8VbIx7XMwEUS/hKLN8sYmhf3ZC+iIMh+r38V4d4hE4NsqKbDTfj/fYw0qLy/330yZmDBc\niQGDdnk8tcPkB95w2bt3b3UfVH8UqJp1am6krHY7NyZXlxQoplvTgW/5PGeUrv6lD6trarI2H35z\n0PLMzAxVr1us7qPCb60KdaNozQ3UgZYsXqy0UVVyJaj2pukGygkcvKBk8tMyMup0av2bcRsqo9eo\niyRJ2Tt3Km+t81iXI0Nvs2TJEsl6/ctzPn1Eo0Y59wRu3LhRrga2C2S9Xv++k5OTNcT1jErSxyhv\n8Hjl7tql+K5WJkZyezxBrb3lb/1R7pRecqWmq2D9TMladU4aLLPf0fX2UT7vIyUd9lv/76k7Fqq4\n98FNV66VvKX5cnUKPQhIIE/+VsV0DW9EupTsZSrpOabRdQoLwpuioDlqBjmpUbn8WyWMPjni+wm7\nPl6vqtfPDOrznpS/QV03T9eWVQtUFHAOTFKakoYfq/1cOco67M9B5RS9e4u8hTuDBgwKxf3ujep1\n+OmKcVdo86ol8nYbqORjr5Tk3C+Z1i1dgwf0k5HVyswdSjzrHrm3LFfZ9P9I7qqgQVvcm5eodMoE\n2fLawT0CbyBfHT9MiQef3eQ5qNo4V2XfPidXWi+lpyYo8aCzVNjvqJDrJn/+V/Xs2VPllVVauynL\nP5iMJMX2GamuB5ygPjtmqCi2mzbN/7F2u5NuUPz+Tpl9F7+irWODv0grn/WOKpdManTQlsI3btB+\nfXqENWhLdqlHOe4EVW8KHma/LQdtie3aR0NGH6zE4i0NDtoyYsyBknEpY93qoEFbXJ17Ka6ioN6g\nLUlHX6aEMaeoYtHnci37IqxBW2q+DCuf+bYqV36vxIN/rcplk5UaJ7ku+ne9Yyp880Z1vtR5zQ2c\n/YSMFN6gLcal1HMfVum3z8hbuNM/cIbbK61P2F+SVcW8D/3bhxq8wCSkKOGgs1Ux9z316d0raNCW\nggkXS3GJMvFJSjjgdCUeeLr6LZyggtTBKtn/lKC6efKylLrxR6V7dqnA1UVZ65YrbshRDQ5EVlf1\n1hVKz5qm1FirrEOde80rV/6gqhU/yJXWU97SXA3q1U3uQUfKvegzFR56pWJ7138PrstWlcvEO6N5\np2yeoZIB9d936nKt+kaFq35W6jkPOufh1SsV13+MOp3S+PvzwDlPy1iPMvY/V+o+WAWvXiG5nV40\ncZ26aMjYIxVfukMZvY9XeeYSJRx4ujw716tsystK6NJTwwftI6Pa116g5ORkdTvlRnXKXaWs+T80\n+NqTnEFb7OBxqt40T9bjltyVSktL0777Orfd+J/f/1ytTidep/K576uzymTrDFZVc3+nJLk+uV2p\nh/066LpVM7aBSemhrof/Sv3zF8nrrtayZcsU03uoTFyS3FlLJIV+7cWP+qWSj7ncOT9LP1HfsvVB\nA2e4uvRR/P5HqWLeh3UGbVmn5FNuUsWc9+QtcEYN7XnytbK9Ryhl4ZvanjZClQs+ka0sVZfr3pa3\nolhdZ/1LhSfcoYSMGdo5+UWn3vHJSjrhGsUPdu4LSyzIUEWXQY0+x5JzLY0fflyjnwW8JXkq/fZZ\nxQ08SFUb52rA2GNVsP9p9dYrePWKoAFbJKnkqyeVcvptcu9Yq5JPH5BcLo09YIw8MQn13hcDdcn6\nSQVFJSr46S2ZpM4yCZ0U06WPYuLi1OmY38sTnyrvoo9VWVEuT06G3NtWSbJBg7ZsOuiPMgmdVLV+\nlirmfiBvyS4lp3ZRj+MuVWr2YmX1OEIV62aras00/35TUlLU/8BfKL4sWxv7nqyyBZ/Ks915Dk1K\nD3W+5Dn1XP2R4spztXbpfJnBR8pbnCN31jK5OvdWWrxXg/ruI3d8qtbuqlDVxnmK6TlEntxMyVMd\n8rpnElP9A1L16DtIPQcMkSnP14oliyQbfN0Med1LSpOJT5K3cGfoQVtcMZLXK8nWGzBIkpLH3yiT\nmKryaa+qb++e6t4pzhmsav2enSIjEvfwxcoZtOUkOUFvnqSLrLX1h7fxSU1NtYcccogkKW/AsSrq\n47Tw/XT7CeqeKI18YIqk4Bauyy+/XMedeZ5OeHJqUFk161x//fW64IIL9OykRXr2p21K3bFIMdVl\nKugf+oKdULRFlWn9/NvffffdGj9+fNBw/lJtC6A9+Q5lFoU3IXKolrmXXnpJzy8o1aSl24PWy/K1\n8H142XCd+0bwiD+B5Xz44Yfq0aOHXn/9db3++utyx3XSlkP+GHZdup7/kBZtLtBvO2dowTcfSApu\ndct49Az/sQ+c/aQk+Vv4Dln3mj766CNJ0p133ql3bcM3oB5dNV8z4g+V8VRr4LxnJTkf+l5++WW9\nMStD9362Qqk7Fqm45xjJFSuXu1zeWOcN9owD9lHhV0/XH83vyMuUoeCBDbpmTlPa9rmqSBugnSMv\n8B/DQVc9rPz00KOqSVKnnOUqTR/d8AlrwBtXHq7LXpurTrtWqSKtvzzxKUrdvkDdM3/UMRfeqDc3\nJdXbZp/lb6mwzxEq69b0ze0bHj5dxzzyrfK2bFDvVe+HbEV95+yuuunJ1xVflqOq5HTFl2UrtrJY\nF976Dx02Zpg2LFugF556TJuPcD5odMn6WQX9necqLsb4p2NILNgk43UrsXirUrKXatzVD+j0gwdr\n+6IpemnCv5vVgtwcv+mcoU8KBzl1KNwsl7tcnarylbOP8w3Cb5JWatEU5zVYldhN28ZeJal2+PU7\n77xTs2YFT2Tcr18/vfXWW/7XbrdN36m882D1WvuJJOe1V3jIFf7pNWr0WfKa4spzddDYsXr2Wed1\neskll2jLli0q6HukkvM3KL4sR+PGjdMjjzi3I//2t7+tFxpOOukkfZ/4C6UkxMr79cMqLy8PWn7m\nmWfqttucv6NxZ1yg7WMuU0LxNnXL+F7bx1wmSbr7jBH6x6RV/m16rvlEyfnOG8Hll1+uyy+/XCc/\nNUVrc8oUW1GgfotfkSc2UcZ6dcM1V+mCCy5QVlaWLr300nrn/NZbb9VZZ52lNWvW6Nprawey8sQl\nK+uQG/SH0bH62yWn6K63p+v7DyaqIm2Aivocrq6ZU9V5+zw9/PDDOuqoozRz5kzdddddkqSCvkcq\noWSHkgoz9Oyzz2rs2LH6/vvv9Y9//KPe/l966SUNGzZMX3zxhZ566ql6y9988031799f7733nv79\n7/rhpu51r66vvvpKycnJevHFF/X+++/XWz516lRJ0pNPPqkvv/wyaFlSUpK+/tqZHuXBBx/UDz/8\nELS8e/fuQde9hl57knTzzTdr8eLFyhtwnP/8HZZaqJdfdgYFu+aaa4JGSZWcMPrss89qfkaebnns\nJblWfRO0fNy4cepy3O9VVF6tt+dsliT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W9fUPAMCTOp/SOW7vDhe+m2RK55PTMWfXxihh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\nc8Zokv5+2lLrOfZ4/f1sO9V0sFqs5R8mubWUcqDZ553NPj8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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.26% of observations are greater than 3 standard deviations from the mean\n", "0.13% of observations are greater than 4 standard deviations from the mean\n", "The maximum deviation is 251.05 deviations from the mean\n", "USDT_STR\n" ] }, { "data": { "image/png": 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IiIiIiMQpBXwiIiIiIiJxSgGfiIiIiIhInFLAJyIiIiIiEqcU8ImIiIiIiMQpBXwiIiIi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\nmjXtW5nk5eUxckw+za5UNi/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vKTDNGDMJKAK+DVzQ1QZNTU2h0XMMWaHf46KiosjIOf5A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\ne/B33+vlMQgRAAAAQFyFD3xxr83zkbu+/YEDtHrhjOQFecD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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.11% of observations are greater than 3 standard deviations from the mean\n", "0.06% of observations are greater than 4 standard deviations from the mean\n", "The maximum deviation is 154.13 deviations from the mean\n", "USDT_BCH\n" ] }, { "data": { "image/png": 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XwZ/J11KhWma27ij3tqaFK/j13ARbkVnM32evavF6wWZSHvOPz4KkDOT5DKuz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\nYE2uq1ypFbGkT/4rNd0HBk3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51/3VmGSu/83evHDpJD664WhevuxQPrvpV8y79Ri2PDiF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\nBBydZ2h9eUvFeaq19vbo/NZfnxynG0o6fYaQHN8a3djh+6i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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "1.38% of observations are greater than 3 standard deviations from the mean\n", "0.6% of observations are greater than 4 standard deviations from the mean\n", "The maximum deviation is 66.82 deviations from the mean\n", "USDT_NXT\n" ] }, { "data": { "image/png": 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WUs6ISQqffl2wzx66ShmX3CtJqnnmVrn6CuVYTIOOPU95mxdoycrVirp0hfoV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\nSEwV9VENL2w9BC8SS7Tsg/v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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.15% of observations are greater than 3 standard deviations from the mean\n", "0.09% of observations are greater than 4 standard deviations from the mean\n", "The maximum deviation is 387.61 deviations from the mean\n", "USDT_ZEC\n" ] }, { "data": { "image/png": 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7t9cUdncRREREREREerQeH9hdN2MpG4squ7sYIiIiIiIiPVaPD+wAqus93V0EERERERGR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\nL8W8yZLecc4td87tkvQnvyw55+Y5n6TnFYCY5lP8zCwkaa6k72f8wXI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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.95% of observations are greater than 3 standard deviations from the mean\n", "0.49% of observations are greater than 4 standard deviations from the mean\n", "The maximum deviation is 80.28 deviations from the mean\n", "USDT_DASH\n" ] }, { "data": { "image/png": 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ZevLyI/Xcc8/pb3/7W4v9B9sa1LwNb7zxhtLS0jTsutckGQ2dd6+M9bfYTpLy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\n+6QnafY1R+nbgV6bpE4Etu6UkuhVQZ/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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.11% of observations are greater than 3 standard deviations from the mean\n", "0.08% of observations are greater than 4 standard deviations from the mean\n", "The maximum deviation is 216.55 deviations from the mean\n", "USDT_REP\n" ] }, { "data": { "image/png": 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EREQUXBEdFBIREREREVFwMSgkIiIiIiKKYgwKiYiIiIiIohiDQiIiIiIioijGoJCIiIiI\niCiKMSgkIiIiIiKKYgwKiYiIiIiIolhEB4Wl5RXhTgIREREREVG1FtFB4RdLE8KdBCIiIiIiomot\nooNCIiIiIiIiCi4GhURERERERFGMQSEREREREVEUY1BIREREREQUxRgUEhERERERRTEGhURERERE\nRFGMQSEREREREVEUY1AYJZ6evglXjF4a7mQQEREREVGEqRXuBFBoLNh1ItxJICIiIiKiCMSaQiIi\nIiIioijGoJCIiIiIiCiKMSgkIiIiIiKKYgwKiYiIiIiIohiDQiIiIiIioijGoJCIiIiIiCiKMSgk\nIiIiIiKKYgwKiYiIiIiIohiDwiijlAp3EoiIiIiIKIIwKIwyyZmF4U4CERERERFFEAaFRERERERE\nUYxBIRERERERURRjUEhERERERBTFGBQSERERERFFMQaFREREREREUYxBIRERERERURRjUEhERERE\nRBTFTAkKRaSfiOwVkQQRGWaw/hUR2S0i20VkiYh0NuO8REREREREFJiAg0IRqQngSwD9AXQHcJ+I\ndHfYbAuAnkqp8wHMAvBxoOclIiIiIiKiwJlRU9gbQIJS6qBSqgTADAC36TdQSi1TShVY/lwHoIMJ\n5yUiIiIiIqIAmREUtgeQpPs72bLMlccAzDdaISJPikiciMSZkC4iIiIiIiLyIKQDzYjIgwB6Ahhj\ntF4p9Y1SqqdSqmco00VERERERBStaplwjKMAOur+7mBZZkdErgPwJoD/KKWKTTgvERERERERBciM\nmsKNAM4QkS4iUgfAvQDm6DcQkQsBTAJwq1Iq1YRzEhERERERkQkCDgqVUmUABgP4F8AeAL8ppXaJ\nyAgRudWy2RgAjQDMFJGtIjLHxeGIiIiIiIgohMxoPgql1DwA8xyWvaP7/TozzkNERERERETmCulA\nM0RERERERBRZGBQSERERERFFMQaFREREREREUYxBIRERERERURRjUEhERERERBTFGBQSERERERFF\nMQaFREREREREUYxBIRERERERURRjUEhERERERBTFGBQSEREREVFYZeSXYPDPm5FXXBbupEQlBoVE\nRERERBRWXyzZj3+2H8dvG5PCnZSoxKCQiIiIiIgoijEoJCIiIiIiimIMComIiIiIiKIYg0IiIiIi\nIqIoxqCQiCjI9p7IxbjF+8KdDCIiIiJDDAqJyG/xJ3JQVFoe7mREvDu+Wo1xi/fzWhEREbmwOiEN\nALD2YHqYUxKdGBQSkV9yikrRb9xKvPLb1nAnJeKVVqhwJ4GIiCii7U/NAwDEJWaEOSXRiUEhEfnF\nWuu14VBmmFNCRERERIFgUEhERERERBTFGBQSERERERFFMQaFREREREQUEUQk3EmISgwKiShAHESF\niIiIqCpjUEhEfhGwJM9bvFJEREQUySI+KHz8hzg8OS0u3MkgIiIiIiKqlmqFOwGeLN6TEu4kEBER\nERERVVsRX1NIREREREREwcOgkIgCojjODBEREVGVxqCQiPzCEaN9xwCaiIiIIhGDQiIKCOMczxhA\nExERUSRjUEhEfmGcQ0RERFQ9MCgkIiIiIiKKYgwKiSggih3liIiIyCRsiRQeDAqj0P9mbce1n8aG\nOxlUxQk7yhERVVuXjVqCjxfEhzsZRBQiDAqj0K9xSThwMj/cySAiIqIIdTy7CF/FHgh3MogoRBgU\nEhGFiOJYrURERBSBGBQSEQWZsIcEEfkhM78EMcPmYk1CWriTQkTVHIPCCLDpcAbmbDsW7mQQ+YV1\nX0REwbE1OQsAMGnFwTCnhIiqu6gICofO3IbfNyX7tE92QSmu/Ggpdh3LDlKqKt359Vq88MuWoJ+H\nyEys+yIiIiKqHqIiKJy5KRmvztzm0z6rEtKQnFmIL5clBClVRERERERE4RcVQSEREREREUU+zngV\nHgwKPeC83ETu8TviPV4rIiIiikQMCl1gKYXv5m4/ju2WTvFU/Vm/I4qRjkd8nhAREXmLL81wqBXu\nBEQ65ne999zPmwEAiaMHhDklFAqcZoGIKMiYByGiEGFNoQvM7hIREVEkCHVrg285BQZR1GFQSERE\nRBTBMgtK8cS0OGQXlIbkfB/O2xOS8xBR5GBQ6IFi2w0iIqKIk5RRgOzC0ARJ4bYtKQuLdqdg2trE\ncCeFiKopU4JCEeknIntFJEFEhhmsv0pENotImYjcZcY5g40DQxB5h8UmRBQOfT5ehgFfrAx3MoiI\nqoWAg0IRqQngSwD9AXQHcJ+IdHfY7AiAQQB+9vc8c7cf93dXIgoGFpz4jAE0kbmSMwvDnQQiomrB\njJrC3gASlFIHlVIlAGYAuE2/gVIqUSm1HUCFvyexjmwZCvnFZZi88hAA30cfXb7vJC4csRAFJWVB\nSBkRVUWMn4mIiCiSmREUtgeQpPs72bLMZyLypIjEiUicCeny2+j58Yg7nOnXvh/Nj0dmQSkOnsw3\nOVVEREQUTTiuARGFSkQNNKOU+kYp1VMp1TOc6cgpquy4zscxERERmWXzkUwcSS/wa1/mSYgoWMwI\nCo8C6Kj7u4NlWbWwaHcK9p7IDXcyiCIXcylERF6746s1uGrMsnAng4jIjhlB4UYAZ4hIFxGpA+Be\nAHNMOK5Xdh3LRsywuUjO9K/UzYhj/58bx60w7dhE1QVH6PVefkl5uJNARFWQsEcyRSHmL8Ij4KBQ\nKVUGYDCAfwHsAfCbUmqXiIwQkVsBQER6iUgygLsBTBKRXYGc8+f1RxAzbC5yi0rxy4YjAIBl8akB\n/R9m4Y1M0YYVhd5Tvo5cRSFTWFLOViFERBS1aplxEKXUPADzHJa9o/t9I7RmpaaYslobGfREdpFZ\nh7QjjOyIPOK3xDtZBSXhTgJ54bmfN2NpfCri3++HerVrhjs5RERhNXp+PFbsO4l5L/YJd1IoREwJ\nCqkSKwKISG9rUla4k0BeWH8wHQBQVsGHOBHRxOUHwp0ECrGIGn3UH9YgbM2BdNOOyRoQiiTvzN6J\nYb9vD3cyXGKTSKLQyyooQQUD2GrPcUoKPm4p2vy97RhW7DsZ7mREhSofFFrN33ki3EkAwD6FZL5p\naw9jxsYkzxuGGJtZE4XHydxiXDBiEcYt2R/upBCRn36LS8JnC/eaftzFu1OQllds+nHD5flftuDh\nKRvCnYyoUKWDwqAVmDGvGzH6f74Sv29KDncyiPzG4LnSxOUHEDNsbriTUaUt33cSSZbRthftTglz\naijYKirCnQIKltdmbccXSxNMPWZhSTkenxaHh79jEEW+q1JBoTUzoc9iRWpLiqrSxEMphS+W7EdS\nhnlTephpz/EcvDpzW7iTQWSKKvJYCJrR8+PDnQSXqsJns+tYNv47ZQPemxPQAN5UhYxfytpg8l65\nJfN5OD0/zCmhqqhKBYWO7v92PX5ef8T04wYyL1BVqxQ4klGAzxbtwxPT4sKdFKJqqYo9EqJeJH9e\n2YWlAICDaVqGL5LTGo2yC0rxzYoDpvaz3pacbdqxiIjcqdJBYSS2md55NCfcSfCJdZyCotKqM7n2\nRe8vwsCJa8OdDLIIVw3L3O3HcdXHy1Ae4YNt6AuKqkoLAopQvH8i2luzd2LkvHhTB75zpKBwNKsw\n4p97RFT1VOmg0NG8HcdNOY4ZtX1VrcawKsnIL8GGxIxwJ6NKKiuvQMywufjChAEqwn2LD/t9O45k\nFCC/pCzMKXHPWrtDZDa+ZyJLbpH2XS8pC15HwCMZBbhi9FJ8vnhf0M5BFG58tIVHlQwKXb0In/1p\nc2gT4gZrBCgSJKTm4ctllR3ZS8q1zMrXsYHPP2Qd8Zf3unsTTB5IgKIXv2qUmqO1kFodxNpIonBj\ngVd4VLmg8GhWIfal5Jl6zMPp+fjgn922OZ+q873omIHnHHPV273frMWYf/faSrDN/LiHWAYAcpxH\ni0JDKYXnftqMNQfSwp2UaqEqPAorLInMLdJqx5lxIjOdzC1Gak5RuJNBRGFS5YLCK0YvNf2YT/+4\nGZNXHcLelFzTj11VcNj86qmo1LgZk5kfd1XITIfD0axCxO5NDdrxi8sqMHfHcQz6fmPQzhGNIvlR\nuPVIVriTQF4IdUFZblEpMvNLAj5Orw8Xo/fIJSakiIiqoioXFAaDY21ZJGcKgiUcNYY5RaWYGadN\nyh4zbC7e+HNHyNNAgWNMaO+3uCQkpObixrErnAM2XiwKQDlLYCKar1mHQAZ40weBl45cggvfX+T3\nsYiIAAaFUedEBDUN+d+s7Rg6azt2HtWG3A7G9CJkLyhZSuZTbbILS/HarO24fuwK5BVrTfyOZ0fO\nd46ql0CmT6KqyVoLeTAtH0ezCgEA+SXhGT187YF0/Lox+O/t84b/i1d+3Rr08xBFOwaFBqrzi3bg\nJOOpHMLRfDQ1V+swX5Wmw6guqu8dHl7W2m59hY5+9FGjZmW5RaXYH8VN16uDfSm5IZkiiRWFpHci\nuzCs57/v23X43+87kJRRENTz5BaV4Y8tR4N6juomXAUFZknJKbZVGFDoMCiksGM+J3SC0Uw4XAPN\nROJ9k13gfvqJ4XN2OS17eMoGXD92RbCSRF4K5D6+YewKXPvpchNT451o7OpQFfjymD2Ulh+8hITI\nCzO2hDsJVA3dPH5VuJMQdaptUJhVUIJjWf6VopnxouWIjJ5ZL/PzP/OFYpZvVhxAzLC5KHAxd9+x\nLK0po5mliKXlvNetPH3v/9p6zGnZlgAHDwnmnGjRyN+WItYa4RkbjiAh1dwRsssrFJTiWyXS+dri\nJnbvSVz9SSxmb/W+FiwSa4sjMU1E5LtqGxRe+dEyXO7jSKWeHmzZhaUhyYBlFZQgMUSlh94+y5VS\nQavKj6R+jlXdlFWJAJwnTLd+zjeOqz41UpFYSbI6wfPcYbM2JQd0jpScIrw4YwuKXYwsS+E17I8d\nuOnzlaYdLzO/BF3fmIfvVh1yWheJ34Hq4vlftuD1P4I7+Nk+S7PxXcdyAAA/rEm0LfNGTqFx4V+o\nGcXCWQUlSM4MbrNSIjJXtQ0KrYM8+MNVYV+P9xbisR+CP/z7dZ8tR99PYr3a9rYJq/DT+sPBTRCA\nnzccwc3jVyF2byqSMgqwMTEj4GOaUSN7PLvQlLRUR3uO5wT0PaDgsM7v6K+R8/Zg9tZjWLDruN3y\ngyfz2AcjQpSUmxewWwvNAi1MIN/8ve0YftkQ3EFUHAui352zC/09FCjo95m5KSkIqfKd0av8qo+X\n4cqPloU8LVT9LdqdwrxNkFTboDBYVu4P7kTRCam5SMvzfr6hbcnZePPPnX6fz9u4bO8JrfTycHoB\n+ny8DHdPNB6wxiwTlu5HzLC5Hre79tPlQU9LVaJ/UD730+YwpoSCzbGZ4zWfLsfN41d59b2hqkcp\nOEcR7FRYLeg/xfKK4LTFLCmrwCu/bg3KoDBGzWZzivzLtK9OSMMJjtgcddYdTMf8HcfdbpNXXIYD\nJ/PwxLQ4vDYrsMJVMsag0JD7F61RCcWaA2n4Z7tzfyFfXfdZZDfvMxqo5LGpG7Fod4rPx3LXd+fr\n2ANeHaOgio+wZTbrvWl0bY+ksykPkd6y+FRMX6e1tPDUfSA9r9iv51ygGPdVPcHsY7f2YGUTdV/6\nv64+kIY/thzFW3/5X4isp88LmHmLPjB5PW4eb17z6+pqdUIapq1NDHcyvPb2XzvdFlje+806POOh\nIPvQyXykWAoMjgR5xNtoxaDQD5sOZzotu//b9RisGzDFqP9HJPL23eXuob8kPhVPTIszIzmmKymr\nsM3lFE2MMpLvz91t93fMsLnYdYzNDSn0hszchtwi9yO1hsIjUzfibYdMsqsgbND3G/HEtLiQN1uy\nZvyVwTBGjBcji7+fx+I9KbhhbOhHr/VXaXkFurw+z/Z3Sm6RqYWOvrSWilYPTF6Pd2Y7j2YdqayF\nb4EaNFXrwlXGAe6CgkGhAV9KZqeuPoQle5xLj2cbjDIYybz9l8f8uzeo6bAy6+s+dNY2XDF6aVTO\nheh4DY1qOe7/dn1oElMFJKblB2XKjkD5MvBEMJSVV6DC5CZtszYlY/LKqlFwZmUd/CtYzftcsb6P\nIvDWpABZw/wDJ/OxL6VyxNpvVhzAgZNejGDr8OLOzA9NMPXmn/YD8CRlFOKqMew/SMFnHeyRz8Pg\nYFDoJaN2+Ck5RRj+92489oM5tWSRXLto7TNg6oSoISjmXronFYC5Az+E2wf/7PY4GIG3l9ZxlNKq\nxMx3wqbDmej7SSx+9KI088+BCEb+AAAgAElEQVQtyS6n/PBFfnGZ3fVPNRiFd/bWo7hh7Aos3HXC\n7bH2BzFwPP3N+bhr4pqgHb+qCVdzTgWg0OH5y6al1dPIefF+9ZXfb/JUKK4strxXyVhFhTK9II0o\nFBgU6lhL7Yzesw9Mdq5RMbvD9vv/7Pa8UYjM3nrUlIwvmW/yqkPYczwHZeUVOOvt+fgtzvMIdN42\n7SkqLfcrwCgqLcc1n8RizYHgDsRkxNd88cy4JKw/aD91hHUC6S1J7ucMjEvMwMu/bjOchN4X13wS\ni3Pe/Rc93ltoW2ZUKBRvGeDJU2bPq1oFH+UXl+HvbVqLh81u5lIsKi1HcVllsLLzaLZX91Cws0wV\nlrn9zOLrkcxqHmu9v5VSmOxwjzAmdC89rxg3jF0esv7UtlpdE47lWABAxsrKKzBtbSJKI6jgt8/H\ny3C+7tlO5mAhWPBVu6Dw142+DyHtzYSzZvd/+XhBfMROpbDpcAZenLHVLuNrdIlW7DsZ0HmS3QTV\nZjcNqI5NDfJLylFUWmFcmODwed3/7TqXx/lyWYLt9yEzt+H6sSuQ4+P9vmRPKg6m5WPE35FTsGGV\nmJaPDF2zqqGztuOeb1xfDwBIyyu2C3SsrP3JTuQUB5SmgwbzkPp6i87VjdTm6f5OSM11O/dpXnEZ\nHpy8Hnd9vQZllszVm3/uwPO/bHG5j9VZby9AH93Q8zePX4Xrx3oxYFaQv5RnvDXfp3k5zehfrXfe\n8IWmNFt3F2j4Oll6tPln+3HsS8nD5FUHQ3RG7fMw6lJixN1XoEaQPtrNhzORUkXnBjaqfZu+7jDe\nmb0LU1cnhj5BLhzNKuSUCUGg/77w0Rcc1S4o/N/vgU82G4qb7avYA6ZPpVBWXoHZW48GXDpuHUra\nU8b34SkbXL5c8orLcDg9HxeOWOiyWeyxUAw7HYTPMreoFDHD5mKmQQ3dhkMZiBk21zaFR7gIxO4+\ncPeC0vcTXXdQK6jwNTP73M/aqGHhCL49nbLvJ7G48qOlPh2z5weL8cS0TS7XR0Kz2+U+FMpc99kK\nt3Ofjpq3B6sS0hB3OBMpudr33pcBmlJziyOuuVR5hbLrpxUof56r5tT2MPcTKF+nOMgIsG/ejI2u\nW29428KohjdRocEtWVBSZut3ZSS3uAzXfRbYoDbh6nsdb/BetT6LI2HgKqKqrtoFhYBWKu6LPcdz\nAGhNpFxlnvWPwOlrAxtFydtRmGKGzcULXpTUW01edQgvztiKP7cc9TdpdsTud+MXlKtMzwPfrsN/\nxsQis6A0oprFmuFYlpbB+Halc+nzH5u1CaYX7XbfB8wfV7vJ1DsKX7+n0GUWfPkX/Zm6xKgm3NrM\ndJuHZqb+cMxopecVex1kbw0wPfm65541Hb7m+9YfyvCphjmyQkjPrOkNde2c7XRV7YJ5UFZe4fWg\nPXO2HcPaA+meN3RhoY9TiVz0/iK/z+VOWl4x+nxcWavu7r/P9WKev7k7jtuaeAPavdL9nX9x5lvz\n3e7n6dj+FvA4Nss3wyFdC4ftyc7POetzirXmniml8NmifW5bjUSaaBwkMJyqZVDozcPUyNt/7cRN\nn680DICyCiozO4v3pCBm2Fy/5/txHALdnTmWB365F/1jUi01e4GWcvqS+TDqz5aQmottyYFNdRDK\n4MJM1hLir9zMs5hVUIKYYXN9bn57yPFB7uYSCYBwVNwkOPR923wkcpsq+dO8pzCILyj91zshNQ8X\nf7AYE5dr99GYf/fi88X7Xe47aYX5zeN8vX0qlMJjluHCrZbFp2LVfuN+poFUNihlbn9B6zG9Eeqs\np/V8FQbpM0rLjuTsKpHpO/3N+Rg4ybvWMi/8sgX3uWkC//3qQ3jjT+dWQpEWJ+jzEYA5NW7eNPH2\nlTf91I14apbvj/S8yhZLRu806zV09VkP+327xyA5WhzLLsIXS/Zj0Pcbwp0Ur704o/L+jrTvc3VU\nLYPCQPgyIaZRUwY9xwf+lFWHMGtTss9pyswvQdc35uHlX7e63W7K6spmmjHD5mLozG1uty8trzB8\nKVkDMn3zNFdfxiUGo5Bd95nnfjyXj1ricRtTmZh/9CZgLXMTke06ptVMWzP8gXL1nNTfy94GiGl5\ngfWVczzPHV+twTU+1HCabWl8ZQ1BeYWyq5l4aYb775O34k/kmD7IgVHN39jF+7zev0yXni1HnOdV\ndaRvDmt9JGQV+Fa4pJR9ugdOWotHpm7Eg98ZT3sSSMFPt7cW4AZv+i16SSmFUsu8V8dcNJsNV79k\nX2tAbpmwym1T4UhiNOevOxn5JYbvrPf+3o2f1x/BMz9uQvd3FpiVPJ+dyPHU5No+7eOXJrjYzhzn\nvLMAMcPm+jwQlav3wEcL4rFsb2hGHi2vUFh/MB2fLqx87pUb5lc0rlozzdiY5LY5rSvFZeUYNX9P\n0Abc83bwI6UU3p2906/WKY7fL+t3p7QKzfG3LD6wsSvIN1EVFGbml+CK0UttzUWDbaxDyf6If3Zj\niIdAzcgJS03LX17OfVhseQDO9BCAnvHmfLxnHRhE9zw1yvy4ypb4m7Fz1Z/w903JmLr6kGkZsGAW\nLLl6CVUHx7OKMG1tIk57fW7ANc+upjHJyC9Bam5waxHnbq9sxnv+8H9xqa4wwppReu6nzV5/L/X3\n5axNyZi99Sj6jVuJkfP2mJNgC3c1kt5M2vuebsCf1//w3M962d7KF2+mJRg8cNK32iYFZZfZ2HCo\nciAtV81KY4bNxYi/d/tcm1xSXmHq8Pv6z/XzJcY1srbRqR2+9oE23bU6mVuM0fPjXTapNB5oxpRT\nVxkXvb8IX7spTJu/84RdU/FQX56dR13nLeJP5GBmnO+FwoGwPnuv/XQ5Fjs0oS0qLfd5DtSvYw/g\nke83+vTW33TYvwH1Ji4/gHu+WYe1uiap1matAyeuRcywuQD0zUcr9/1s4d6AmhsDwM/rj2DS8oOY\nYFLgHpeYYdeSxtt5HYtKK/DD2sNe16rr+6xmFxq/u41aHZD/DqXlh2yE42CLqqBw+b6TOJpV6LGG\nxqwX7RdL9qOotByH0wNryuNNevQlgb50ql9pbdoV5GeEt6Vtr87chuFBHMEyZtjcgJvbRMrz1F1A\nbjRRvS9u+3I13pm9CxUK2JqUiYoKZTgap5F/d52wq6FzlZ6L3l+E3h/6X2Pszcegr1XILynHyVzn\nEnD9KJ4AbJkNT4bM3IYXLbWN369O9KpGzh27/8fNTeaYXiMLdX1aPbVoMIu778X5w52HZ7duP2X1\nIVwycgn+2e5doVegtdlWZ75p3KRstofCt3k7TtgKEQpKynD7l6tNSc/rf+zAxOUHnKZ1qZySwvW+\n25KycOPYFXZ9Q6urpb7MkRfEqHnn0WzEDJuLNQmep+EpK69Av3Erg9LM21s/rbcfmf21Wdtxw9gV\nyC5wLrBxrJ026svnrTu/9m9APf0AaFZL4rXPfoNu5HajqcS+WJrgtrmxN6yFb7O3Hgv4fQoAd01c\n69cAP9b/z1rYvyM5Gwt22r8DlFLIyC/Bxwvi3c5hvN3Sree4JY9YVl4REYOmuVMV5pi++pNYr4N8\nb6zYdxLxJ0JTeeUoqoJCqzKHZmTB9NKMrfjPmFj862HyaXf0NVKfLtwLpRRWJ6TZjXD5w5pE2++B\n9sczrCkM8N362NS4wA4QIP010XfMD8TelFxcNmqJcTO7EAaORs3LhnlRO6T36cK9bjt0vz93N7q9\ntcCuWaIrT03fhEcdPm/9SK0/rEn0OvByx/oddndrZvrYBPKPzf4P0vR/X5k3wfsfAQ4W5SqA8KYP\nk2O/UL1l8amum1d6OK7jM1ff3B3wvinhK7/53trCkVLKLrPh6oV+IrsIN49fidTcIts1HTJzm60b\nQGmZ/f/k7r5ecyDN7UAc1vQ4Nj2vnJLCqE+htnLU/D3Ym5KLbQFk3qsKXx6twawpvHn8KgDAl7Ge\na5K8Kcgx20EPTUat4xUYtUqY4jBiuBlBkSclZRUe3wtG/fCt30uvRmv1gfV7dzSrEE9MCyz/size\n/ya3jo/sWyaswtM/brZb9u3Kg7jo/UVOYxk4tmZyHJfgrb92osd7Cz12f4gZNheTDQbWC6f4E7kR\nNTelmR6esgH9xq302AUsGKp9UGj0kJm7/Tjunug6A2fmo2WBJRh8arrx8PbJmZ6rnPV5/vFLEzAz\nLhkPTF5vNwfXNN2IqAd9bPblKBjzYVmbgPy2MQlPevGANSumMnNEsoe+W49bJ6yye0gfzy7COoOM\nnrvmGT+tD2z02mAYvzQBo1w0gfzgnz22Qgd/+sQC2j2cklOECUv3Y8Iy+0zUiewirD+Yju3JWfhz\nSzIenLzeq0yINTOz3WBQo+Kyco8TqKfkFHnV18aXWtJA6G+ZLS4mi/d2igNXd9+Cnc6FU473r7ug\n65GpG9HPxdx//53ifvACx+ZcRaXevdCzC0rtAkrH2rCUnCKfR0vMdKgdSc40DnTv/3Yddh7NwW8b\nk/x6Jun3uf/b9W4H4rA9qZTj8uA2glwWn+pz/1GqVGG5jZ/9yfUUNsVe3utmuuZT/6edSPfQZcBx\nwBxHP6/3fb7o1V7UuAL2o3DvSM52+awMpRPZRfjPmGUupxt5xGEALl94eu7sS8nFyHnxhusKSsox\ne6txAWNqbpFtYDxvKklGzTc+Ryg5BrWe7kNvpeQU4Yaxy3E82/tpmELBUxewYKgV8jOGkb60brOb\nB4mnB6KZrvzIuIRaz7EA7LXft7vdfo0/bent+hRWPiDu+2YdGtevhX93GWfSfWlK6VPtUAhq2nKL\nSlFSVoEWjep6tf1KF6MoGimrUDh4Mg+ntWrktG7eDvuMeXZhKXq8txATH7wY/c5t6/U5zG7Gah0A\nx5F+ovVhf+zAvb07+fzSFwgG/7wZGxOda4Ou/TTWqd/hqoQ0dG7RAMuHXm23vLS8ArdOWI3Hr+xi\nW2YtWEnNKcJVY5Zh1tOX44c1iZi5KRnntW/iMk0FJeW41ouM05BZ2/DH5qNIHD3A47aB8KaG39tp\nSazf4V3H7APmZ37ajNghfRHTsqFtWbxBH2ujgNqa4ckpKsOUVYeQcDIPl53Wwqv0aPt5foFnF5Si\nx4iFmDKoJ645q4323RihNT09NOomp0KexLR89P0kFm0a18XyoVdj8M+bkVtUhl+fusy2TWFJOQ6c\nzMO57ZugqLQcF45Y5HVLkYNBGMWz0JJR23AoA5/dc4FtuWON4LGsQizbm4qrzmgFAMjKN7h+1n38\nfBZkF5Tikakb0bNzM8x65nLDbUrLK1BTxPSaGH9Z721vWi2EgrUA0PG5rlccorT68wldOmoJpj7S\nC327tXa5jVHBmytG7/lDafnoonvmGPIy8frA4JYJq2y/+zIdjjdq+FCg/OjUjTicXoAf1x/G6/3P\n9vucZeUVuHn8KrRuXA/THu0NwHP/v0fdBJzD/96Fk7nF6NCsAS7u3Mwub/fPtsr8cLBaWc/Zdgzt\nmtRDr5jmphzPzJF2T2QX4WBaHi7v2hIzNiRhX0oefll/BK/c0M20c3gybvE+tG9aH3f37Biyc3oi\n4ZqE1JO67c5Q7f47zq99pz5wDgb9tMvjdjHrxgAAEi8darf8nDb1sCslcobRr1mSi/I6pwT1HLUK\n05Hw+cMAgGc/nIh5uZFzkwLA7UWLMG6cdj9YXzox68bYPrv7ZBVGjRoFALjzzjuRnq4Fxkd6DkZF\nrfp4sME2fPDOG3b7Hun5PCpq1UPMujG4+eabMWTIEABA3759nc4/cOBAfHykMwDg1O1Tcez8QbZ1\nrfb+heduuwKDBg2yeyG22jcHDTO0fhHPPPMM7rnnHiQlJaHPl1pQXy/7MNru+Q0nzrobRU1jcEHH\npvjoupZ46qmnbMdQUhOHL3nF9vdf97bH7TO0kr+OceOR1PN51CgtxI93norLL788oGaZnVs0wGEv\nOkvrr7u3211/Viscyyl2GXi60nHjF2hUpwY+n/obOjZrgHdHfYLfCs912i5x9AD8FpeE12ZtR6PU\nHchrfZ5P53Gl87oxOGz5H7q2aujz4Cu+GHR5DGI/ew6A8zPJVzVKC9Aq4R+knD3QaV39zANoeXAB\napZqn3V+3yE4WeQ5V1CvlqCoLHjvi44NFUo3/IIT59yPujnJaHJsPYpPaY/s9pcCAF7sVoA/p0/C\nkd4v2/ZptW82Tp55GwDgiuYFWJ3RAID9vXdtt5ZYsjcNd7dKwcyTbbxKS/st36J2cZbtGNed3RqL\nHfqyddz4BVIueAQltV0/my859jt+nTZFS5Plu9n46HrktL9EO27GHEz+ZhIAoOcr3yGtTlu0jv8d\nDbIO4miPR1FavwX+HnylXeZXrxWysXH0/bhn0lqsP5SBNrtnIKX7vZb0jccNfa/A22+/DQDo378/\nCgsLoQCU126IWqX5uOam2zAl40w0b1gHjZd86HR863Nv4MWnYsOXLzutHzRoEM7teytidyXjnzEv\nOK3XP/ceeughu3XWa/tM3664vYvYPfes3nrrLVx33XV2z7UapYVoeWAeapSX4MQ59xlel/Zbv0VB\n066496478HVcZQFwux3TUTe/MnibNGkSunXrhr///huffvqpU9qsbutQjG2zvjBMPwAMP+skhse3\nslvfbsd0LJk5BSsP5bhsKeRJ4ugBPj3TG6TvRUEL3zO1jcsy0WDvApfXEwBa75mJ1LPv9vnYVp02\njEVxo1NRP0crUHR85xY0iQno+IBznk5//ZofWozGKZVBxauvvopbbrkFe/fuxVNPPQUFILfNBRBV\ngVNSt+PSh4dhxr5yp2NbjRw5EpdffjnWrFmD++dohZ2NUrahxaFFOHyp9n8ZvTOM8p3WZZkdrkB2\nB61wZuVz56Njx46Y+tOvGL6jkW07f94NbfbMRP3sRGSdeimyOvUBALx9c3fbHNLW551V/fr1MX/+\nfPt7r6IcMRs+AwC0aNECv//+OwDgpWHvYMP2PahTUNm0t0OHDvjxxx9t+3eMm4CknoNt/8OZZ56J\nb775BgDw5JNPYt++fX79X+tevxbPPfqALb9nde211zo996yy2l+KrI59bH/HrBuDrPaXIavjlWiS\nvAbNkldj4MCBePbZZ1FQUICbbrrJ6byDBg3CoEGDkJaWhrvuusuWduvn6O65B1Tee/r8qJ7jvZHd\ntie2/vrpJqVUT58ukB+qZfNRbwPdolM6oKR+S6flhzMjqylNsANCvZO5xVid77rEMFKVqpo+71NR\nq55f51JORZqu7jcv78OmMS631geErlTUro8/9gbe7MGbgBAA0rrc4POx1ydm+jUIRmq3O5DXqCNu\nGLsCZ7+zAPmqts/HCERRk86234MZEOqV1msW8DEqajdAQdPTDNcVNuuKpIufw+GeLyDx0qFeBYQA\nghoQAkBSvsBaXVDcuANSz7rTFhACwOd7GyC9y/V2+1gDQgAoLDf+P7YkabUc3gaEAJBy9l1230fH\ngBAA8lr3cBsQupLTrvK9nlnL+f1jvQblteoDcF9T4O6TS+r1PHIq6jgtz+p4JZIvfhZldRrrBrFx\n/9n+tsl1P+y7Jq7FhJWVfYYrpCbK6jQ23FYBKKnfAhU1Kr/HX1v6QVVITRQ3bIPiBvbvn1832rdK\nqKhdH6ln3Ql3z9ejFzyBzJhrUOwwUm9umx4u93FndrL71iSzjzu3CDl+3kNYdyjT74DQH/4EhACQ\nU6uZ24AQAMoCfC6ld7kRKd3vQWndpnbLU3OKkNzjMRQ1iQno+J5YnyVFjdohr+U5ALSCmhu/17oz\nFDbriowu1yP9tBtRUr+FX82289r0QPapvWx/u3pnOF4D23KD/KhZT92KmnWgalTmk/Tf+aMXPuH3\ncf/BxTh2/iAUuPn80j3kGcx45+ntK22O6WsTDdfp3ylmqKjp/Iw1W2anPp43Mkm1bD7apKnxF86R\nq4dgXklkNEsJpU6dOgEAnpgWh+wK75pThtJNTwzDmW/Ox9Z3KzOFsbGxtpKWWbgMn1iWW0uwAKDH\newuRXVhqK5E02jc2NtZu3Z9zF6JCKadmpR9btp88+VsM+KKy5P7DDz7ADec4N/sc8d576H9eO7tl\nHTt2BKDVFLbr2h1fvDm7shZAKXTr1s2WnmNZhbh89FK7/Ru06wpAqymcPXsOLnp/kfb/7y2y/f/B\nludlxkp/jXOKypBT5HtQWL9tFzz+4I14d45W85/a9lLAoAmqXnn7CwCTJpk/67bnkGIwuEEwTF2T\niL+m/4WCkjLc/63x3H6+yG3nvlBR1Yq87/mYz8bioe9c901s2/0Slxmtzdn1bb/r770MP/qdlNVr\nhgHDJjoN3KB314OD8O3KQy7XA8DXX090XqjLmD3x7GCk5hShdeN66HH++VgSn4oPR47E9d3b4KL3\nF3mcDiYVTRAzbC66tdGC03Fjx9mNunj7A4/Zfp8/Xxtt1Xpdej82AoNv7o7v3l8EBefnoNXHLp6T\ngNa0dLhlFFfr+sd/iMPiPSk4OPImW5PTjh072n0mPTo2xRHdVB7dunVD8fWvIyVHG1k2cfQAJGUU\nIK+4DI+7GE1xwvjxuGui+5Etp2yxb/aY1/p8xE16DfVq2xci3nLLLbix/wDUqVUD+1Nycb3BHJjW\n/++jBfFYfzAdibouKFt0957eo9PNmQs1EjTtdRsyAmhOnd+qOwBg0pQfcK6uWf/DUzagrH5z5NQP\nvImh9TMyql1t3qKF3T14yy0D8Pxq7feps+ZiQ2IGXpulvZu/mTwFm49kAvsqW5wN/eIXDDi/ndNx\nL7/8cmBO5fkuvP4uuyl+HN38+iSnfvXWdD89fZNtHIo27drjaFYhCttfDOzQWhw9PvoHvPXXTrfX\nwMhDL76JTxa6n+fW1fffqnbtWk7bnMguQpkljEg9+26XXSx6XnaFbZAg/TH+3XUCT7wxGg9/t8Gv\nd3ZBSZldfs8qZthcrJy9Cw9dFmN77unX6U2cMQcLd6Xgs0X78PDDD+PVGypbTDRo0MDtdWnZsiWu\neO5THNlwxOl/Ayqfe57ot3lxxhYk6kbA/umv+bjCIR8YTNUyKCQ/WAqNjIbsjwRPWkpbkzK8qxHb\nmpSFOjX9qwi/0BJobXjjWrRu7Fyb6DhghrWfk+MgIJ4GuTmUlm/XLGxbcjb2peTiwcnr0aNjU8PB\nVnzp1xhuZowwCtj3qTXqkwjYT1Pgbo4/X60/FNhcV74ya3qDqspdQAiErrYWgNuAEPCuz9H3qw/h\nVTd9VKyjCCaOHuDUr8caEHrT32evpQ+o47auRooFtJF5rdt7O1CPUgprDqTj8q4tUFRaYdfHtbis\nHIfTC2zT0ShUDpV/Sr3aOPOtysyZ0UTc1oAQALIKStDnY/f97f0dROylGVtRowaQnldi63u6YOdx\nPP3jZvSKaebyGZOUUYCOzRvYajZD4cd1kTMomVn9awsc3pNmTplzxeiluL57ZYsAd++go7rvRt9P\nYvHxXefb/h63eD+uOtO+1u65nzejc4srbQHt0axCHE7Lxwsz7AN/dwEhAKeAEKicGmKBbpR6/ffF\nyp+AEIBhQPjBXPuB5ZRSbr9T1prTfuNWoFHdWhhzdw/D/oxKKXy5LAEDe3W0W2Yk0Fr0az5djplP\nX+Z1n8VUg/lw+41biVeuPxOAd32zC0vKsS05C5da+tPrp1tLzS1Cvdo10bie1hJiyMxtSMsrxtRH\nenuVPsB5SqSXZ4S2YKlaBoWRGthEsoNp+dialIVckztrm23Q9+4zjVaOmeutSVluO9IbefrHTSiv\nUGhYtxYmPnSxbbnjwxSozFTo+ZNn2XIkE6m5xS5H39Q3iXAcMbA6zlGWVVCKFV4Ewj0/WIyYFg1M\nP7+3I2RSZAnF3FveFD6MX5qAfue2xXse5l7VBr7RHhhPTIuzK3E/7sO8s46GztqOobMqBybTH7dC\nVQZW1rxQSVkFatYQ1HQxqMzMTcl4bdZ2jL7jPKdpb978c6fT6MSTVhzEaD9GLXzG4Vlq5ICbqVPc\nWWAwPdQSS/NgVwEhAPT5eFnQB5ty5G8QEMkGTlobtOt4NKsQU3XTc+k55gsda19e031PFu9JcRqk\nC9DmurYGhWbW3pzuYs7UUOry+jxcdloLDOt/Frq2buRccCPawDHWIN5o0LPisnK88MsW/Lsrxe5z\ncAy2ikrL8YnBPJT+uHviWjzRpwveHKDVRJeUVb6zE9Py7QZV6z3SeF5k69Nut8Gga45e/2M7/tp6\nDCuGXo1OLRrYvWt6f7gEzRvWwea3tRZt3o7WfuGIhdjyjnETW/2cnKFQLQeaIf/420k9XBw7Xes7\n6xp1WtYPGqLf11Un39qF6Sitr5UGNUjbg4KWxqOKtY7/AwXNujo1q2y99w80yHQuVXbXobrFgQVI\n79rP5fqaxdkor+t6RM1qSamgTkJNFAlcfbf1zyFP2u76xW3fsI4bxyOp1/MAgHpZiWi9fzaO9HoR\nUlaMznFfIPHSoaiXlYi28TMBaP2vTpz7IACgydG1yG19ASpqGzeVrFWYibL6lX2DOq8bgxPd70Nx\n4w4e0+34LK9VlIWyet51AwlYRTnqZx1EYfMzPG7absc0HD/v4RAkqnprtfdPVNSqhxplxTjZ7faQ\nndfT98MbrgYorG7qZx5AYbOuPu3T9MgKZHW6yu02/g6W40nN4my03/od0k+7EfmtzrEtb7vzRxQ2\n7Ypmyau8Om+njZ+jRrnrZvtHz/svShu2dptXc7xHrAPYANqYDCUN26Bu3jHktr3I5T6ODn90c0gG\nmqmWNYXkn5KG3g/EEMmKGp1quLy0QeXocPovXkm95qhT5Fwaoy8ucRUQOm+pWyrOg98UNXLuk+DN\nsayiLiAEGBBSVHD13fY2IASAsrrGA7xYHT+vciS8oqYxKDqlPQCtf6nSLU877UY0TNuDlO732LbP\nbn8Z3NEHhACganifvchvdrr9sUIVEAJAjZpeBYQAGBCa5GS3/wvLeQMNCAFtoCSjd3t142tACAD5\nLc7yuE2wgunyuk1w8o/4L1EAACAASURBVMxbUejwLLEWajXIcN+n0upIrxfR+NhG5FgGDOq8bozd\nkENieVLmt+zuddqyO1yOsrqNoWrUQoHlGpU0sh+HQgG2SotwYk0h2bRoWCekczQGKv79fjjr7QW2\nv4fe2A39z23rctLeV64/E58tMn4w6Juz+NoX7srTW6LC0tfG0d4P+qGguBw1RNCkQW2Px+5zRssq\n1W+QiKqHCzo2xVaDvn7+GnLDmR4HtyAiinT6fosDvljp1dRaY+/pgZd/3eb1Oa47uw0W7zHuNgSE\nrqaQQSFVWWe1PcWnTuovXXcGxi3eb7gucfQAnMguwofz9uDvba6HXw/ErKcv8zhaHhERERGRFZuP\nEnng66hlrgZvAbRRoy4dZdwJ2SwMCImIiIgoElXLyeuJjLir8u/9YXADQiIiIiKiSMWgkIiIiIiI\nKIqZEhSKSD8R2SsiCSIyzGB9XRH51bJ+vYjEmHFeIiIiIiIiCkzAQaGI1ATwJYD+ALoDuE9EHMdq\nfQxAplLqdABjAXwU6HmJiIiIiIgocGYMNNMbQIJS6iAAiMgMALcB2K3b5jYAwy2/zwIwQUREuRn6\ntDQ9GSd+dqp0JCIiIiIiIhOZ0Xy0PYAk3d/JlmWG2yilygBkA3CakVdEnhSROBGJMyFdRERERERE\n5EFETUmhlPoGwDeANk9h2/tHhzlFRERERERE4XH4o5tDch4zagqPAuio+7uDZZnhNiJSC0ATAOkm\nnJuIiIiIiIgCYEZQuBHAGSLSRUTqALgXwByHbeYA+K/l97sALHXXn5CIiIiIiIhCI+Dmo0qpMhEZ\nDOBfADUBTFFK7RKREQDilFJzAHwHYLqIJADIgBY4EhERERERUZiZ0qdQKTUPwDyHZe/ofi8CcLcZ\n5yKqqpYN6YurP4kNdzKIiIiIiOyYMnk9EXnWpWXDcCeBiIiIiMhJRI0+ShSIbx/uidan1EWHZvVx\n8QeLQ3beT+/ugcMZBfhiyf6QnZOIiIiIyCysKSSb8zs0CXcSAnJ99zbo0bEpWjSq6/O+z/bt6nb9\nxAcvsv1+drvGdutq1ABq1RCX+/bo2BTXd2/jc5qIiMLlitOdphL2ya09TjUpJURE4dXqlLpo09j7\nvOWcwVcEMTXBE7VBYe2Ck5Dy0nAnI6IcXfFbuJMQkL59+9p+fDVj6jdu148efJ/t9+Pr/7Zb9+EH\nH2LKlCnaHxVlTvtm/DEC+6cM8StdRERm6bxujNfb7lw+N6BzLV04z/NGAaidnxrU4xNR9GqZMFf3\n+zw0WDwS5Zv/8Hr/Fx68PRjJCrqoDQpbHvwXbXf9HO5kkA9qFWYGtH+jlG0u151yYguaJq1Gpw1j\nbctqlBYYblvDIPCrVZwDAKhdlAUAqJuThLq5Ry3bh6bwoe3On0JynlBy/MxrFueGKSVE/mtydF3Y\nzl0v+7DtdwFwyvFNLretVZiBZoeXoc2emR6P2yxxqfv1R1Z4nUZ/tPPj/d0scZnf52txYIHf+5K9\nGqWFbu/DSNb80GKcuu17xKwbAykvCXdygkb8yLecum2KT9s3Obo24Hx4w5O7A9rfSKPUHWiYVnnc\nRmm7IKoCtYqz3e7XMW6C4fJTt36HpkmrXO536rbv/UtoEFTLoPCJPl08bjPhy6/wzTffhiA1ka2m\nrtnjq68OCWNKPNswcqDb6vvY2Fjbz8QHL8b0x3rbrd/5/Rt2f5/XvrK57PLYZdj600isWFrZF7FZ\n06ZY/MpVWDakL2JjY23LBw9+3u44b7/9FjbOnICpj/TC/+7uAwB4oP9V2Pvlk0gcPQDLly21pSuY\n1v1T/Qo5Ej5/0O7vraPuDOn5pz3a2/NGFPFevf7MsJ7/63dfdLs+pkUDU85zb6+OTsviv34WPz1+\nCQZffTpiY2Px0H0DXe7fNaYztvzyCdbPnorpo151ud0tPU7FlhmfYuVrVzut2z78Bmx75wasXPIv\n1r5+DWrXdN203krfPB8ATqlXOdyBq/1XLF3k8bh6fc5oiY0/fezTPnpxv32Bcfdc4Pf+pBl/34U4\n+Old2Pr926Yet7PBd6h90/qmnuO9W8/B5l/HYs38WYiNjUX9+uYdv2+3VqYdy9Hz15yO//U7y+vt\nz23fGGvevNHtNvf0dH7WrJn/O5YN6evVOT64/Vxsm/4B1v39E+rXrul12hxtmviK3d/rXr/Wr+NM\nfaQXDo68CYmjB2DnlGFYrsuvWfNv6/7+CZMf7onpj/VGy0Z1nI6xcvF827NLn99bs+APjHvnZbtt\nr9Z93mvmz8Kgy2Pwwe3nGqZt0kMX+/U/+aNaBoWXdfXcF6Jpg9ohSEnVIp7f3WGTOHoAmjesgy/v\nv8hw/aa3rrP7u9+5bdHnjMov3X29O9mOs3vEjbi6Wyv89tRlbs8pIji99SlejRoqIujbrbXtbwVl\nuF2cQzqjRbMGtXHOqY09b+jBKfVqY8FLfZyW//P8lQEf28hVZwbvRV3V9KhCfY5b+tGvOBiuPas1\nFr18FS4/vaXHbfWFVL5YPrQvfn/mMiSOHoDRd55vt84aJF5xeksMubGbx2N1131Hz+/QFImjBzht\nM/qO8zDy/7TMS8fmlRnxla9djcTRA9C4Xm00sbxf2zWpj7g3r/f43e93bjvb7zvfuxE1dC+j+S86\nf9/9cX/vTqhVszLLow9EJz7oOdMlIrj9wvampCXc6tUObdbvvVvPsRXo9oxpBkArkL7pvLamneNq\n3fvXat4LfewCw0ev6ILdI27EFae3wGl+jAbewiEQMDOQs+ZRAOCUuuaOASlwXbhi5OJOzdCuifuA\nt4aLW0ifX/r24Z6G2ySOHoAHL+3sdXpcWfW/q1Gvdk18dOd5tmVN6lfm7S89rTlG3HYOJj54MWY/\n59zH75cnLkX/c7V7sEOzBqjhMDbE1Ed64Q6H7/x13dtY8paV2w69sRtG3aGlYf6LfWxB3OJXrsLf\ng7W8SQ2HDHYny7Pzuau18SyG33qOy2ty4znmfU88qZZBocD9zT/7uSvQtVWjEKUmPIxKjKsbfYbd\n0+Ay+u96gzq18P0jvVG/jlY69cI1p9tta314/N+FxgMlOAYKovuyi4fI2jGzuup/lSXt/zx/Jba8\nfb3b/fVclSpFEusL+ftHevtd6NChmf3L6ay2zhlM/YuAguP9CL/f5r5QWTAw9MbAawavO7syk/n4\nlV38Knj48oGLcEabU1yuH2oJ1F687gzUqaW9jmc9fRk+1gV37992jttzdG7REBd3bm647uHLYpyW\nGT0re8c0x6ynL7NlbIwMvvp03HFRe9zbuxNOqef8fdMHiHpNGtTGNy4yh0Ya1a2FH3Q19Ke3dn39\nfNGsoZahXz60Lxa9fBX6ndsO3z/SC58N7IF+57bFwZE3eXWc7cNvwBf3XWhKmsJl6zs3hPR85RXK\nli9TuvLSrx4IXg3IJV2ao0mD2nbvnf90a4UGdWrhp8cvtSvEdXRW21PQoqFzTVCzBvbLGtTxPXgz\nKmgBtBDDOjjTI1cat3a74yL/CiVaNa6HBy6xDzgu6WL/zHj/tnOwYqiWHxnokH/8/N4LcKWlYGvS\nQxdj/ot93OZ1nv5PVwy/pbth5cvjBv+bq0J0T2pZItN7enVyWle3Vg3MePIyPHxZDPqd2xY9OjZ1\n2uayri0w/r4LseClPji9tXNM0Ldba3zmReuAZ/t2tQX1HZo1sAVxp7c+BedZClMv6tzM8ByOecLL\ndZVaC1++yuX9EizVckqKnJwct+ubIxd9+96O4oZtgPMeDlGqKr16UW18ujm4/czWjX8BuHSox+0a\nHt2InHaVL+w2jesiJafYtHTUzUlCcePAA9SXXnoJ48aNs1uWOP0N4BKtSv7111/HqFGjAAB33nkn\n0tPTtY0s12DTpk3A/2kZnv79+6OwsBAAEANgzjqgYvvNGDJEaz774kO3o1PNOli4rgSLLOMyDBw4\nEID2UP3vQw/+f3v3HSdFff8P/PXe2+v9juO4Sq8KHL1IOZo0EVQULAjWIPZoFEWs0WCsUWMUNUo0\n0W/EXlIsIfqLFTtGEVDsCrZYsKGf3x87uze7O7NtZndmd17Px4MHd1tmPvu52Zl5f8r7Aww5IlSO\nc889F5/NGY0lS5bgm2++BgCsXbsW/7rk6NBrjjrqKCxYsADvvvtu2Gc4aK9ZoTJWFudj23tvxa2L\n+v/ehp1F1bjskr8BPWfGfb2TPv7oQ6CoCoWyE2N61GLD++bfzSeWT8YZV92CR7/uCMbb29vxXbcJ\nQJdRAIDzzjsPjzzySNSxneowoYKvP4SvuAKV1TWGx317e3tC3yM3KvnkNZR+uhHb+9oz4X3jxjds\n2U6i8ndsx48l4Q0wBV99gB/KjRtrnv3nXajb9CS2994TvzvrJGDQktBzu/XuhEseSq78m2/8Vehv\n78/z4U/XXwMgucD40EMOwV9u+ZPhc12fuggvftYHW1cHklydc8ujQH4tjjn2WBR99X5o37MGNmDl\nPa8abqMAHdeR0HlPd7zeeN01uOisUwB0nPcUBBjdMVXg0N2649jJvbDX7OhAQX/eu/83vwAAtF/d\n8fySJUsABP5GRom0gue9Dz/4wLD8QRs3bkTLs1cAImhv1066cb53+u/mFVMr8ZvLrsKHAxeFnu/8\n+h3Y1q9juPnyQ6OHnl977bWYNLQv7rvvPlxyySUx9xn1+TJwXrhk38E46XbzufCpmjFtSlT5m5+7\nGu8NW2b7vgBgzWXnYnvr7kBhBfbbbz/4f/gKe+wRuOZuuWAWBh1xEcq2v4KPByxMeR933LEW0O5l\nGl5eg1mD9gEwBv3rCvHe54Hr/cqlB4Tm+LctPAn6fpGyj1/E1/WBAOC7u8/E5EXLcbtulanOr9+J\nFYd3JGq64IILACTf29je3o6uAM65+CosWdsx3/fsk4/BF02jgU79sWbNTUBzdM/W81efkNJxd/3y\nJbgBCuXdpuCrLoEe8tKI3sjLL70YN2zfgG4ATn7pKvztb38LPXfZCQdCiQ9NBWX4zVNfora2Fv0X\nnR32/oJvPg59R5qbm7H8llvwwjuBnAD+7z7HzqJAD/HDFy/DO/f2wWrtvHfkkUfiu6rZgC/5cKS2\nrCDqvDd9+vTQfSEQfr/XpawJ2/vsiZ8KOoKzqVMmR213v/32w7Jly7Bjxw7MmhXdWBQ47zWHfm+f\nNCmsK0p/v7do0aLwN2vlDAbVV155JdaseD709Paes4G6AQCAr97fjPYF4cNO0y0newpjuWj+oPgv\nsllkltP+NclVu+z8zs7ihCn639bQz3sObsTjp0zG6JLsyOrmU9EJX8z8HKf3OGrbP/1g/g6J/LWj\nlau5qggAkP/tZ6bbrtt0b+A1O7bHLEPle08YPl785bso3/YyfDvtC94BhIY5xNP16UuS2GqgbpQC\nTp3RD4c3vA/fD98YvrKxqhjlPoPGEhW/FdHnk1AK6GQSQjRuuAUT/vewYc9H8edvhv0+pDW6pTEd\numy4xZbtVL/7OEo/34Te5Yl/T2JJrS03dZ033h31WOGO2Oem0k83ouvTl6BA993675mTMLS1Oql9\n5/3wddjvPjH//C+emXjvvp4g6lRiKHLYkV4Zoq8NNVsfQdU7j6Hz62tR4Ys+RwhUKPnMzPL3cOac\nAaFeNCNnzxmAfYY0mD6fjLzvzRuF8n76HnkpXus6lfhQ+M1Hod8bXrkZJV+8ibPbrS2rkdC+ywrQ\nVvmt4XP15daGMe8zrDn+i1KUF3H99P9ofF4OKv/ohZT3Vfi9PmFY+PGc5xPUbXkQxV+GN5jGUrbt\nldj727ENRdo0tVMnNaPLhlvQ9OL1YUnfJjUCvz9gKMa2BgK74v+9Dd/Ob02vNyVfbDHdX+n2DaGf\ni77YGrf8AqChvOOaU7fpXhR8+wnyvwvUU552jexSUYSzB35ttImkiMHZa2zENKviL2I3SIv6Gfm6\n72+w13QYtqDxpT+iy39vi3pPW0sV+u7cgi6v3ppKsePKz0vuXrro6/fR8vwfbC1D8/PXJHl3GYe2\nscsWDA7L+ZEpOdlTWFlpPn9hcr/OqC0rxLp16/Dye19gz6v+k/byPHPmTIw4vyOBydSpU4GHE0v3\nPb53J5w/byAmXBTImtZSU4zZAxtxzb/NT1BAYJJrt+Wx99G9UynOvPBCHHLjs5jYpy7UcnTbmYfE\nfW+iBg8ajGe2mgdIiQr2EgaHWAHhnzHYSwgAd9xxR+jn4PPTxo8KPaZvATNilhDmt9q2br75Fky+\n5N+hx8866yzsMSjQe7H3qN7o3tAJbS2zDIdXtLS04LrLL8S83/8HA/r0wj1XdHyGskI/Wvr2BbAZ\nALB48WJc8cimqG0Ey7fjh50YcOY/AAAHj7E+Pj/W8M668kJs/ypwg/nvfz2a8PHR1NSEtz/dgeLi\nYvjzfDjj+CNx968fxidff4/qknx8viM8CFx26CLcc3lH1sJ169bhqkc34eJ/Bnp5Vq5ciZUrVxru\nf1BzFZ46bQrqK2ah+2nG6fDH9KjFk28GepGrSvJDdTn5knWh14zv3QmPb/oEkyfsht9fe2xoXwnE\nprZ46v5bTev3xKl9cNnDifV4/ecf9wAArv33Fvzmb6+HHl80uitufioQFCwY3oL/W5/YzdiYIbsC\nDwXOQxfsNRCbtn2Fm598Gzt/trdiygr92HDOdACzo+ph/XXL8ev7XwuVP2heWyOWLJytteAGBN9b\nUpJ8Epctly4AsCC0DRHg6KOPwe0Xrwu95oK9BuKv699FVYl5QPXHGzuyyr189u64/vG3Qt/pyPNM\nr169sP7tz3HFFVdiZPea0L6rSvJx3JTehueCCw6aGPpZf94zoj/v7b/6KTz55qdYtKCj9yx2Iqzu\nwALj58/Wyhnr/Y2NjQBeR11dZ3z0ZXjgd+eysejbWh31/ljnmCMn9MDpqzrOnWPHjg27Hjz5QOAG\n9fNvfsDZ6x6KW745c+Zgzpw5hvs8aVofNNcUY69V5uXr1as3Xnzuvaj3NlUX4+OvEmu8G9JahRfe\n+SKh11q1bt06XPDga1j9WKDha/nMfli6KvY9w63nH4s9rjTPoBjLnXesxfTLHsP7X3yLW2+7LWqo\ncfBvk+h15cRDF+C8+8OzTs6fPx83/mdr2PYAoFf3rnjqfvOg5JsfduKJd17GrddcitaaEigoFPr3\nwOrHtgCbOs6bRsfPvXe8DAA466gDcPqdr+DMOQNw8Jjo85Ze+HYC1/p1f/k9Sgv92PnTz3hiy6do\nrJqIqZf+GyUFeVhy4IKw75jZtucPa8Zag2NwydhuOFs7ds++91Xc9MRWAB09hQtHtGhzkc2HKRp9\n9u93/oROZYU4aPQs5PmOM3yfiOAfFx8H4LhQuSO3tXr1avRe8SB+/Cm560iZVv7geS+4/Ycf+if6\nnPE3jOgWGB5rdL8XPP+ZfbagkpIS0+d/r93T37n2dnSuKDJ8TUtLS9zz2jHHHItDdUNqj7v1Bdz7\n0gcQCNra2kLvjzc1yS452VOYqcpLVElB6pmVqkoKom7WE81UZzQmXm//kemfdzikq729K5HJGO4/\ndhwu2Xdw3PcdO7m3reWIZUhrdcxjsEBr3Yqc2xOrtd5IMEgpzs/DuXOjh7WV6o67s+YMSGrbka7X\n5gT1bwg0uNywOPYcoYFNlXF7Hu85ehyej5hD2bdLOe6OmBAeOfkbAK4+0DjhUJfKIogIRnariZqL\nCAALdce8PsNhqW5uyAKT+biZ7ikzYjQnwUjfGPPYgokeAOBCg5ET/3fkaPxuYfQ8Cv2N3AGjWnHW\nnF0wuZ/5vJxIZvOcfxmRGVTFiL4L/XkYanBOGdY1uZ7ARAXPN0bz1A8Y1Rp1rMZSUZQf9Vn1jE4Z\nSyf2hIiYvk+foCUZqc7hMRPvuAx+NgWFOYMbcd3Bw1Ghff+S7cUFgNNn9Td8fG5bY9j88erSArx6\nznS8ek7sTIqxHDulN/YaEqvHTvCzyTGbTC3Pa2vCEeO745bDRsV/cYTSOPcYswfGPk6OHN8j7j5S\nva2646gxoRt4uxwytpttycX2HdaMV8+Zjl6dy1Dg96HQn/j92vKZ/bB4TFfMa2vC5gtmGc7hTUQw\nQPPn+cJzFsSp83G6BFZz26KH1Z82sx/O3rNjTrJ+TqLVRs5Cfx4Wj+1mS29W5FzNWE6cGjgXdo7I\nRH/1gUMxqW8dCvy+sGQvRm48ZASePC162GgyDt0tEMhVpJjPIFj+6tLw9wf/LE6FMbkZFFp8/3FT\n7AsgFo3uitJCP55ZkVqa3MjPEi+JTthr4xxVsbZlJUWw3sm7x894l4zIz7RrU2VCQ2z8Npy4Lpo/\nCCtm9Y+60CfzNwECGf4u2GsgLt0vdjBrtNXlMzvSSsc6eUzp1zlsYrU+s5kZfRD16EkTw57z5wke\nPG48bjtidGD7/etjbuu+Y8dhYHNl6DMY3egXFfhQYxAIt0VMCDdq3Jg1sAENlcatcwDw16Vj8P9O\njX3S1//d9IfHoKbA/vc0uMjqbV01G2uXxs5ga6e2lirM2NVaFrK/HD4Kc9tiJyuoKy/E3LYmvH7e\nDPxiYvjNYltLFQ4YZX4s7darY0hSZGNNvPoEAje3Z+1pnFglWJZZAxuwcERL2HERbKyIZ9emwOsi\nj7ulE3savv6PS0ZgSGsVDh7T1bYw6oHjxkUtlwMArTWBYWzBG+itq2aHfd+NUsCnKngMdK9Lfk5U\npHUnt+POZWNjvkb/Xbty/yGYNqAeDx4/3jQ7YaRpA+oxP4Hz/O8WDsGbvwnv8Sgt9EfNn7LDKTMC\n17a2lkrsZZKVNN6Ntz7JmQiwYvYAjOoR6OFI5pp1tZY9VX+DfuSEju+u0flfX59GDW+R+hsk+Irn\nmEm9QkmQErnJTTRDps8n2DXFbL2RRCTl46OqpADnzN01bAQTALxkMZFP8Np2dHuvmK8zOo/oRda5\nUcDrhj6UtUuNzx/L2ntGJVoJNkBFFnvWwAbceEigPvo3VMT8mxbl58XNrhrPUVrZipK8V/7niRPw\nlyNG4cjxPXD5gjbMi7gex2oUzYTcDApNDvKTpvUJ650xq/ueNlwog2uYjO4RuEnqXG5+AxuP/vMk\n8wU+dnLsEwoA06bM186bgbMt9i4ByY/5drN9h7fgiAk9oo6bVE6qB4xqjTnsDIBhC5z+5jV48jDa\nfVN1MX5KclifvjyRFzmBYEBjRSjVfKLs6LWfP6wFK/cYgNfPmxH2uNVzp75o+k211pZg66rZoQxi\nofWIDHaYyQvqpfsF5hgkm1Rnkq43r1d94IK6dukYLNLSX682aVEtys9Dl4hhMXcfvRsu2Ms8Q6W+\niiIba8b0iD+/69VzZ2A/XfDz6jnT0VRVjL/+YgxOmxnoHSr052HVPoOi0sPH8/TpU/DXX4zBg8eN\nxz9PnIA63Xyvo0yCwrryQty1bDd0rigK6w3q18W4J3ZZu/F29HZprAxbLifo1/N2xfUHDw9bFkIv\nL4mU8vEsHNGCzefPtHxjBADdOpWiwmBOrl5wCYSBTR0NPs3VJZg2wLxxae3SMVi5R+AadN3Bw3Fx\nAiNCrIpVnkjdawP3CX6fD+N71xlmCTQ6Rc0Z3NE4kmeW1z9JkZkkAaCPbrRAp/KC0MiI4PewT4zR\nBJGOGN89ocBRb+uq2YbLoMQ6b0eOHElGso2z8QTv2UZ0q8YflySePRdA0tfJSKWFfmxdNTt0Dr3n\n6N2i7udOndEv7PraUh09giyyTtwQABpprS1BtUGdGWUMtXuUQ6b1qS/H2J6d4M/zYd6Qpqh7pD0G\nBXr1BzVnJodBpNy5Y9fRfxH0J+pjbewBjGekwUnaDoL4yy8EzUxiDaB0niyOT6He+9Tn9pIhiThs\nXHccNNq8V6ajpzD6j3fwmG6mQ5oSEbnNAr+1A8TKaTzPJzhsXPeoFrlULg51uu+O/hMF11EzujDd\ne8w4XHfwcMcvRT20ZXTuO3Zc3OG7en3qy6PSXg/vVhNaYiLfH/8yELlWk5GTpvWJecNn1kCgH8Yb\nqbTQj/8snxz3fJpIT2F9RRFKCvwY0FiBTmWFeHbF1NCSEMW64XeRgXCQ/rP9/YQJhq85ycLIiOKC\nPEyNEZTYeYoWkbA1+9KtqqQAdy0bazgs2czwbjU4zCQ1f7r84cCheO3cGfFfmIDHfjUpKgJqa6kK\n60Gv0TVs2PH31W9jH91QwX5dKnCzNiw11ggLM/sm2UtttBSBfgixGX3Cr+AwQafMbWvENQcNw21H\njsHkfok3FgQ9uyJ6TeLIETiJGtxSFXVuOSqiAapbp1KsP2NqWMNxZMOZ/vjIdHB1YIwRJgBwmcHS\nD3naQaNflsfhjrS0m7FrA7aump3Q+tjpkJtBoUtbQx4/ZRKeWJ7cOGaR8KFOIoKp/TtHLfp66X6D\nDceUx9t2LPGGmQHAjUtGxH2N0bCfeOs8NVUV446jMjc0LznhZ6V0HW6lhX78el78Xhmj/ffqXBbW\nU5jsiVS/zQv3GZjyWmEdw0c7HgsOU8232EoenAeYzALz+kXE9UFKcA6evhU/qLGqOKEehJNizBez\nSp81uaa0IO7w3UjBYZ2Gw8Ijjg39+WbGrl1QUpCHpSY9YPq5ZCO615guRm2UufWX0/qENdotGdvN\nrPiGgo1/fz9hfMrDv46e1AtbV80O6xlvNVlvLxi8prpWmFW76Y7dbDSktTotwzjt5M/zhTUQJGt0\nj47Gi9bakqjb7kK/DwV+X2iI8Ny2xtBxZee9bk1pQVQjTFtLFX63sC1svdHrDh5uOF/1jNnhczb1\nvYqxho//6VDz4YzzhwYCy0Tnzh8/1bgx+aETjRtk7CYimLFrl5TnzNWVF+IPBw7FVQd03Ov0SMP6\n2M+smBLqYe1UVogC3YgCs7VDw2Xmhvn8vQYmveZecJTLQaO7hq7BwRwdbssdkityMyhM47afOT2x\nuYEHaQuF6pMitNSUoDGF9dRKCvx4RGthEgS+DDMjEgzsPbQ5oeFZkWK1FlWXFuD5ldO0TIDG+poM\nozITPMGaDb8Ky1YRvQAAIABJREFUEhHTBZmdZsfwUTsET46n6OYd6elHj1ppFTRaGDZhobrp2P8N\ni4fjmoOGJp1YJ9KaQ0diWXvPmA0TU2MET/o/W6EWLBXE6D0JDrc0MqS1Kq0jEawOw/7t/EH418nt\nhktv6C2f2S9sGHFDZTH+e+4M06FmkTeUE/sELuLBwH/NoSNx1pwBuGtZdEKWSm2CvttafhurjHtS\n6iuKcP+x4+IMn03fh5k1sCGpBhBKL6O/dOT31Oxw0A/9j5xTlAr9NejRkybikV8a90jNbWsKC8yn\nDag3zKFwuEnima2rZsc8/iMTwekdN6UXXj9vRtyhxnqLDbJqm11ve9gw7cduMwc2hDKTp0vn8qKw\nhjz9dT+YgTPIzYGUUdmC94sigssXtGHNoSNNG+3IHu5utktRvLlaQbs2VeKAUa34y9PvhB47Ynzs\n4Sr6m6rnV07D0PMeMnzd2F6dkm4VMXKANkE83TdOZqeK4Mmmb305Nn78VdTzZq1o+XkSlWK4sbII\ndx29Gz744tu4iWzce+qK1tPm1r/5w5oxQpch8tpFw/DrB/4bWhIiKD/PF/MYS2b46PURCR/sunYY\nbaa2rDDlrIl6LTUlOGWGcUAcZDSMKURXuPnDmvH+599GDcnR23d4C979bAeueHSz8UYsGtm9JmzI\nVzIm9a3DvzZ2rM3XK2L4daE/z3w4iu4j1Fckt66aP88XtlxJaJPaNif2qcNEg0Cmf0MFDtKCbKun\nNrPD/L5jxqG4wN52z3jJLdId3y6d2AOPvRH4O8dLVEWZkcy5MnKodDpu0tPRG5Wo4LxXoxt3EUko\nKUdBng9TBwQal86asws2b/8a/9n8acz3rF06BsO6VuOeF99Pei69k+5cNhaffv2DrduM1YDYs64U\nDZVFuHjfwejXpRw3PP5W3HveTIk3V7600I+JferwhsF9KNknJ3sKzSbqR8rzSVSrl9HEVj39Odwo\nc2KiEhnq2amsAKNCvX/hYwWnDag3HaoVFG/i9YAEM/YBgYx5RupN5t88elI7bjok0IMTvGnz+QT1\nFUUY0lptOqwhE8tkWBW85PTqXIYXVk5D7yQm7Cfi4n0Hh/XOTd+lCx4/ZTJeP29mUttJZvio0Vym\nYHIIM5UJpGI+QZsXEquHfHxvZ4bF6b8d+Xk+nDy9b9zhbX21DHx2ZLONNKChIvR3jxyiGO/ecb+I\nOT8XGSw1YUbfa59KsoZU5j7cf+y4UIPSjF27oCjfF3NYmpF4dTKwuTKlYc9WbtTT3Xjn14Zcj+hW\njb2Hpm9hc0pN5LFz5f5DcOCo1lAAX6wNeQ82iiWabTPIbP6t3UlW4jGbd1tRlI/Vi4YlNK3EzBvn\nz8TVBwaSX/l8gj8fPjrs+drSjoar+cOasdeQJgzvVgMRwe1Lx+JOg1EJbjW0tTqp5EaJCM5TPX1W\ndIOpiODJ06Zgt16dUFtWiEdPbne0EUGvV+cyPH7KpIRfn00dB9kkJ4NCKwSSkeFMv1s4JCrde1DH\nMNCOwz5y/lhRfl7oxBmU7L3M2CTmqCSTlOCZFVPQUlOC9r7ha5glUr5J2ntcPMoh7G9hdQgkEEhu\nksrk/3jCh49Gi7W2mEDwyEnt+PPh5mtmJTLXYs7gRmxdNRslBebB1k2HjMTGX9uT3CFSrO9ys0G2\ntnhKCgMt3cHvTmctg+Wo7skP3Y6kP+Yjh2EZfQ59o07k07HqO5I+A6XV710qw5Sbqorx+nkzk8qG\nSORGkV+fbp1Kcf5eA6POlav2GYhnV0xFoT8v1DufyFptNx2S3BIE6WL0PQ8m0Nl9ly4JJ8NL1stn\n7x52zb1438GGCUq87ICRrbhgr4GhdfSySWJzICmdGBQmyWfjWXfuYOOhYp3Ko0+osTJNBg1oSH7d\nHisBsNlQOyvLb3QUp+Nzzh5kfahhOth1KDy/clrSCYgS8XNYT2H0H9rosWDLtUjgZj1Wcgv9x3/9\nvBkpr8WZ55OkFgy2yxULYyc7MhKcD9OoBfEtNSVYd3J7KItlolpqrC8FYFM2ewDANdo6Z7HmBCUj\nXs+FnfeudjfiWSlbOnqQKXskek3I14ZdA4Flhn63sC2Uit6O7Qf5JPE1PJNhNEokkfWCrSpNorHL\nbQY123NujSfPJzhgVGtGswvbaVJfzpt2UvZ+w+K475hx2Pnzz0m/L95J186WuAGNFXjt3Bnof+bf\nw/dh8NpYmSaDBlo46aQyZOrUOPO5glLpPQgWZ8M501EUkTJ/TI/asIXWM61rbQnqygtx2qz+8V+c\ngHRN/v5Jd7ds9BcweqyqpCBqfpiZyf064/bn3gMQ6LlOdhHXTDpwVGtUz2Aqa0kN61qNqw4Ygim6\nFOXdkhw+uUtjBR44bjyW3/Eytn76DZ568zMA4TdviRwRYjCSIFUzdu1iyxxotyWNybRk13Ij8uf5\nEsr0DRifF7rWlpheY7dcMMtCyczddMhIjF31KABg8/kzM7a4QaqZQJ22+fyZrk7y4ibxOl6Ccw8z\nucScl+RsUGglQErVkrHdcNMTW5N6j1EykFjfiWw+ryQy7yE4JG5PbWmAMoM5XrceOTrqsbj7trHi\nivLzDNcgcpuTd++Lpbc8Z/q8UatrIo0PQSUWUrdnSvBmqa2lKrTW1rWLhiW9ALye1Wxyf/1FYKmV\nVfsE5v11W/4AAGBfXUt7vLnNALBrUwVeef9/AJxd0HdAQwWeeesz1JQW6EY0xH5PNp/HyFlGa4na\n7ZQZffHbv29M+n1mh3Uwq3FkA6dVswZ2we8PGIoffjJuAE9XIKKfI56tPVKZxDqyT2mh35YGTDLG\nIzVCvFNorOeN1jiLJ9FbOSu9bekWuTC2FS01Jdi6anZKdUnhZuzakYjIqAcnmCTIMLlPAsdONrV8\n6ss6fZcucbNIpiq4HmDsspg93vFElwTmmK7cY0DC5Uqn02f1xx1HjQ2bE5iJIyOYjCfZjKmZ5PWe\nU7utO7kdj57Unvb9LGvvFfc1Rn9bs3Pi7rt0wfFTeuOMBL6zfp9gfO9OWH3wsKjnIrcvkKw6DxPF\nY0eeBkpdzvYUpqKqJB+jetTi329sM32NiGDPwY2496UPwh5PR8uF/lzf0YMT+wJw99G7oTaJL5Ud\nNy0PHjcOWz/dgf2ufdL6xshWy9p74up1Wwwzic4f1ozWmhKcME0/DMPaATGwqTLUe+UKGb4pD2bK\nC/b+GUlkzcGa0gLDZV3MtmN1HUMrCvw+DOsaWEIlnev0RTpifA8sGds9bOF5Oxw42sK6nBGc7MHN\nRckO1c6ERGKyPJ/gRINF4o23J7j5MPMEX5P7dcajrxvfo2QyC2llcX7oe59ul+w7OKU1nin79NYS\n4C0Z283ZgngUg0KdF8/c3fS5qpJ8fLHjRwiAyxa04cJ9Ek/5HovRTVTMOYURT0ZmMG3TDTtL5vJg\n5VLSuaIInU1SVAPxA8/ZgxrwwMsfWiiBORFvt9b/anpfnLx7X8O5ToV+H86cE95ynWjjg5nbl47B\n9z8mP5c33dzUlp5IAFfoz8Om82fhT09uxZn3vBr3Znha/3rsPaQJd77wvk2ltCZe74UdvRsiggK/\nfX/ZiiI/vvxup+3rjpJ3pPs8IwD+uGREqNEpmKwmX8s6tXxmYvP87fDSWeb3S3bLRBIbche7G/so\nMVkfFC4a3RU3P/V26PenT08tA2I8dx41Fs+9/Xno5rrYpvlURge+0Q1TcG5dj7rwm8PTZtqT7CQT\nzO4DgxkdyX4iYlrvsXoxErlnN3qNXQln5rU1omut+3oFEnXLYaNw0A1PJ/Tak3fvg4v/+Ybhc4tG\nd8XEPnWGdaGvfp9PcNaeuzgeFOZC+4udvS1ebpDyssttXCahwO/DDzuNG9qCQ7Z9PuE8KyKyLOuD\nwkhmi6knw+hC3lJTktAin7MHNuDr73cmvK9EU/G31pbgpkNGYES3moS3nT145+QW84Y04Yb/91ZC\nqb/TOVTp8hSWizDi1JE1rnfia4AeM7k3jplsnElNRBIOjiuL8zF7YAMKXdDC6qaeWaJMCTaUlRok\nSLNz+2a/E2U73g06K+uCwssXtOGE/3vR1m3uPqAeVXEymiV67v39gUMtl8dsUfHIxeDtUFYUOARi\nDf+0KrimkT6Nf6YIeJIJKsjzmWapC1oxqz9OmNo7oZ5wf1723JF45ebJjvNPOo3tWYsntnzqdDEM\nXbagDZc/vCl0TrQDzz3elMm5tUS5yCOXbNfJuqBw3pAmXPWvzdi87Wvbtrn64OFhvyeTVcxu9x0z\nDnXlhbjoHxstfykSKfOo7jW4fEEbpu/SJe5rC/J8KCvy47NvfkiqHNWlBXjm9CmotTFLabICF2me\nZuLx+QTlCQ7nDa4n1LW2JM4rneOFmzM3rd0Vr7qvXzwcH/3vu8wUJklT+tdjSv/MN1xRLrH/u7h4\nTFdc9/hb2tYjs4+mT6eyAnzydXLXeiKrPHDJdjXnxxlZlGvZ3QY2V2a0V0NEMG9IU0I9Q6+eOz3l\nOZudK4pMb17TeRJguu4O6fquLBhhsKSFy+TiYRA8tt0wXLRD7IUuSwr8CQ3DzxVeaJTIVY/9ahLW\nndxu+nxwRM+4XnVRz9n5V0+kwTYdnlienvwMlD0uWzAYB4/p6szOc/CanQ2yrqcQcOZY4fHpbNp7\nsp9d96u873VGnk+wfGY/TO5n/7DyVKnYMaHn8KuRvVrjjIDo26Ucz50xFTW6JaDS3fgUuf3WmvSN\n0mD2R9prSDP2GsLMr17Cb70Bowt5rJO9XSfPI8Z3t2U7sfhdNNQsk3hzZr9s6H3be2jggjasNRcT\nNAFLJ/YMWzTeLdhDT15QW1ZoeKzb2VDmj9EYO7ZX4gmtiLJBro3+yzZZ2VOo53QvxfMrp9mWcGPF\n7MCacen8TIF5YN750vHWtIPT3xUnTOhTx1Tt5Jg8Bsee0vHXtu9kO7i50rZtEWWLdGY3J3NZGRQ6\ncZ01a/nWDx2xf5/2b/OaRUNx6E3r7d8weU5zdTEAoLEqfZlrKbt4sN3B1B+XDE/b0gTkTum4Zmey\n1/25M6byO+xyfzt+fNLJ/ogSxSuWgVxJDmB0KenmwgXB01ndB43uipue2BrKlJnretaVYsv2bzKy\nrwNGtqKlugTjk1iTj7zBG9+22CY7sAQPOatnXRmAj9OWaTvdlzEnM4RTYvo3VDhdhLTKkdvvrJWV\nQaGkZZCGsZHdarDm0JFp3kvmeG2uz5l7DMDps/q7Km1/Ot119G74PEOtiCKCCX2iM++RudmDGpwu\nQlrxgk5eduK0PhjbsxNGdEvvHOYbFg/HO5/tSOs+iJzksVtV18jKoDDd9Pc1dRWFCS3X4EZGX6oW\nbcifV/h8ggKPBIQAUFGUjwqTdQYj79d5A595F80f5HQRMoIXdPKi/DwfxqVx5ESwQZzraRJROjAo\ndKF0Zl+KlcnMSQMaKrBwpPvXuyMiIiKi9GG7ojOyMijUt0Lncm+Hl7IvPXj8eKeLQEQWVZcGeqnb\n+7pn7cRcsmtTBXrUlWL5zP5OF4UcwB54IkqnrAwK0y5HAs10BZVtLVV48d0v0rJtolyWy41YANC5\nvAhPnjYZncuZkTYdSgr8ePSkdqeLQUSUFrmS6DFb5VRQeNrMfk4XwRPuWjbW1u1xsdLM4MmWMqGh\n0lvzlgFgcEsV2pl0idLMiZ7CiTyuyQHsFXdGDgSFHTe6v5jY08Fy2Mft9+5ey2Caq7rXuW95EqJs\ndM/RuzldBCLbbTp/pmeWcyIiwJ1ZR+IIBiXXHDQsLdt3S88Vz8WUToE1tSgTdutVCyCQnZCIKBWZ\nzjOQn+fzzHJO5A5u7xTJdVndU9hS471hSkR2KPQzOMmk02b2R5/6chSw3okoSb06l2Hztq+dLgZR\nxngp0aKbZOUdyhHjuwMAmqtLHC6JPR49aSJuO3K008VwTA/2WGXEFfsPQb8u5QCAX07r43BpvEUE\nDAiJKCXXHzwch+7WHb0781pJuY0dhc7Kmp7ConwfvvvxZwDA3kObsffQZgDA/iNbcesz79q6rzmD\nG3HqHa/Yus1YetSVpScwcnlDy+CWKrz07hfYd1iz00XxhD0GNWKPQY1OF8OTmqtyowGLiDKvW6dS\nnDlngNPFIMoYTp9yhqWmaxGpEZGHRGST9n+1yev+LiJfiMj9qe7rxTN3x2vnzoh6fFBzVaqbNFVS\n4MeV+w+xfbuJCk7sLs7Pc6wMmXDD4uG4cv8hqC0rdLooRGlVWZLvdBGIiIiITFkdz7QcwCNKqd4A\nHtF+N3IRgEVWdlSUn4figtwOkoLqKwrxq+l9sebQkZa24/aWlk5lhZgzmD1XRERERF7HRDPOshoU\nzgWwRvt5DYB5Ri9SSj0C4CuL+/IMEcHRk3qhpYZDzoiIiIjIO1zep5GzrAaF9UqpD7WfPwJQb2Vj\nInKkiKwXkfUWy0VE5Cg/U7kTERFRlogbFIrIwyKyweDfXP3rlFIKFhMHKaVWK6WGK6WGW9kOEZHT\n/nVyu9NFICIiyhpuWSfcq+JmH1VKTTV7TkQ+FpEGpdSHItIAYJutpSNL2E9B5BwO/yYiIkqB25Ni\n5Cirw0fvBbBY+3kxgHssbo+IiIiIiDyGiWacZTUoXAVgmohsAjBV+x0iMlxErg++SEQeB3A7gCki\n8p6ITLe4XyIiIiIiyjHsJ3SGpcXrlVKfAphi8Ph6AIfrfh9vZT9ERERERESUHlZ7ComIiIiIiCzh\n6FFnMSjMYcKJukRERESURXj76gxLw0eJiMjcfceMg49Nb0RERORyvF3JYWxoIXLWwOZK7NJY6XQx\niIiIXG9a/3oAwJR+9Q6XxJvYU0hERERERI4a2FyJratmO10Mz8qJoHD5zH4Y2lrtdDGIiIiIiIiy\nTk4EhUsn9nS6CERERERERFmJcwpzGLM3ERERERFRPJ4JChsri5wuAhERERERkevkxPDReB7+5QR0\nKit0uhhERERERESu44mgsFfncqeLQERERERE5EqeGT5KRERERERE0RgUEhERUVaa2KfO6SIQEeUE\nTwwf9SpB5tOPdu9UmvF9EhGR92w6fybymGabiMgWDApzWKavlc+dMRXFBXmZ3SkREXlSfh4HOxER\n2YVBIdmmlhleiYiIiIiyDpvZiIiIiIiIPIxBIRERERERkYcxKCQiIiIiIvIwBoVEREREREQexqCQ\niIiIiIjIwxgUEhEREREReRiDQiIiIiIiIg9jUEhERERERORhDApzmIjTJSAiIiIiIrfzO10ASh+B\ncVS4fGY/vPPZjgyXhoiIiIiI3IhBoQctndjT6SIQEREREZFLcPgoERERERGRhzEoJCIiIiIi8jAG\nhURERDbae0iT00UgIiJKCucU5jBmHyUiyqzXzp2BAj/bW4mIKLswKCQiIrJJcUGe00UgIiJKGpsz\niYiIiIiIPIxBIRERERERkYcxKCQiIiIiIvIwBoU5jHlmiIiIiIgoHgaFREREREREHsagkIiIiIiI\nyMMYFBIREREREXkYg0IiIiIiIiIPc/3i9QuGt+CD/33rdDGIiIiIiIhykuuDwgvnD3K6CFlLhPlH\niYiIiIgoNg4fJSIiIiIi8jAGhURERERERB7GoJCIiIiIiMjDGBQSERERERF5mKuDwu6dSp0uAhER\nERERUU6zFBSKSI2IPCQim7T/qw1e0yYiT4rIqyLysogsSHT7FUWuT47qasw9SkRERERE8VjtKVwO\n4BGlVG8Aj2i/R9oB4GCl1C4AZgC4XESqLO6XiIiIiIiIbGA1KJwLYI328xoA8yJfoJR6Qym1Sfv5\nAwDbANRZ3C8RERERERHZwGpQWK+U+lD7+SMA9bFeLCIjARQA2GLy/JEisl5E1lssFxERERERESUg\n7qQ9EXkYQBeDp1bof1FKKRFRMbbTAOBmAIuVUj8bvUYptRrAagAobOhtui0iIiIiIiKyR9ygUCk1\n1ew5EflYRBqUUh9qQd82k9dVAHgAwAql1FMpl5aSIsw0Q0REREREcVgdPnovgMXaz4sB3BP5AhEp\nAHAXgD8ppdZa3B8RERERERHZyGpQuArANBHZBGCq9jtEZLiIXK+9Zj8AEwAsEZEXtX9tFvdLRERE\nRERENrC0EKBS6lMAUwweXw/gcO3nWwDcktL2rRSOiIiIiIiI4rLaU0hERERERERZjEEhERERERGR\nhzEozGHC9KNERERERBQHg0IiIiIiIiIPY1BIRERERETkYQwKiYiIiIiIPIxBoUfsN7wZ/bqUO10M\nIiIiIiJyGUvrFKZba02J00XIGb+dP9jpIhARERERkQu5tqewW20JLtxnkNPFICIiIiIiymmuDQrL\ni/JRWujqjkwiIiIiIqKs59qgkIiIiIiIiNKPQSEREREREZGHMSgkIiIiIiLyMAaFREREREREHsag\nkIiIiIiIyMMYFBIREREREXkYg0IiIiIiIiIPY1BIRERERETkYQwKiYiIiIiIPIxBIRERERERkYcx\nKCQiIiIiIvIwBoVEREREREQexqCQiIiIiIjIwxgUEhEREREReRiDQiIiIiIiIg9jUEhERERERORh\nDAqJiIiIiIg8jEEhERERERGRhzEoJCIiIiIi8jAGhURERERERB7GoJCIiIiIiMjDGBQSERERERF5\nGINCIiIiIiIiD2NQaGJsz1pUFPnxiwk9nC4KERERERFR2vidLoBb1ZYV4uWzpztdDCIiIiIiorRi\nTyEREREREZGHMSgkIiIiIiLyMAaFREREREREHsagkIiIiIiIyMMYFBIREREREXkYg0IiIiIiIiIP\nY1BIRERERETkYQwKiYiIiIiIPIxBIRERERERkYcxKCQiIiIiIvIwBoVEREREREQexqCQiIiIiIjI\nwywFhSJSIyIPicgm7f9qg9d0FZHnReRFEXlVRJZa2ScRERERERHZR5RSqb9Z5LcAPlNKrRKR5QCq\nlVKnRrymQNvP9yJSBmADgLFKqQ9ibXv48OFq/fr1KZeNAv6340dAgMrifKeLQkRERERESRCR55RS\nw9O9H6vDR+cCWKP9vAbAvMgXKKV+UEp9r/1aaMM+KQmVJfkMCImIiIiIyJTVAK1eKfWh9vNHAOqN\nXiQiLSLyMoB3AVxo1ksoIkeKyHoRWb99+3aLRSMiIiIiIqJ4/PFeICIPA+hi8NQK/S9KKSUihmNR\nlVLvAhgkIo0A7haRtUqpjw1etxrAaiAwfDSB8hMREREREZEFcYNCpdRUs+dE5GMRaVBKfSgiDQC2\nxdnWByKyAcB4AGuTLi0RERERERHZyurw0XsBLNZ+XgzgnsgXiEiziBRrP1cDGAdgo8X9EhERERER\nkQ2sBoWrAEwTkU0Apmq/Q0SGi8j12mv6A3haRF4C8G8AFyulXrG4XyIiIiIiIrJB3OGjsSilPgUw\nxeDx9QAO135+CMAgK/shIiIiIiKi9ODyEERERERERB7GoJCIiIiIiMjDGBQSERERERF5GINCIiIi\nIiIiD2NQSERERERE5GEMComIiIiIiDyMQSEREREREZGHMSgkIiIiIiLyMAaFREREREREHiZKKafL\nYEhEtgN42+ly6HQC8InThchyrMPksc6sYf1Zxzq0jnVoHevQGtZfalhv1rD+rAnWX1elVF26d+ba\noNBtRGS9Umq40+XIZqzD5LHOrGH9Wcc6tI51aB3r0BrWX2pYb9aw/qzJdP1x+CgREREREZGHMSgk\nIiIiIiLyMAaFiVvtdAFyAOsweawza1h/1rEOrWMdWsc6tIb1lxrWmzWsP2syWn+cU0hERERERORh\n7CkkIiIiIiLyMAaFREREREREHpazQaGItIjIv0TkvyLyqogcrz1eIyIPicgm7f9q7fF+IvKkiHwv\nIidHbKtKRNaKyOsi8pqIjDHZ5x9FZJuIbIh4fF+tDD+LSFak5rWr/kSkr4i8qPv3pYicYLLPGSKy\nUUQ2i8hy3ePHaI8pEemU7s9uhcvq7QYReUlEXtaO37J0f36rXFZ/N4nIW7pttKX789vBZXX4uO79\nH4jI3en+/HZwWR1OFpHnRWSDiKwREX+6P78dHKpDXoON72FO1LaxQURuFZEik30u1ra7SUQW6x4/\nX0TeFZGv0/mZ7eCyevu7BK7Br4rINSKSl87PbgeX1d867ZwY/O53Tudnt4Nb6k9EyiPOm5+IyOVx\nP4BSKif/AWgAMFT7uRzAGwAGAPgtgOXa48sBXKj93BnACADnAzg5YltrAByu/VwAoMpknxMADAWw\nIeLx/gD6AlgHYLjTdZPp+tNtMw/ARwgswmn03BYAPbQ6fgnAAO25IQC6AdgKoJPTdZNF9Vahe92l\nwf27+Z/L6u8mAPOdrpNsrsOI190B4GCn6yeb6hCBhtt3AfTRXncugMOcrh831qH2PK/BEfUHoAnA\nWwCKtd//CmCJwf5qALyp/V+t/VytPTdaK8/XTtdLltVbhfa/IHD+W+h0/WRZ/WXN99WN9RfxuucA\nTIhX/pztKVRKfaiUel77+SsAryFQyXMRCPKg/T9Pe802pdSzAH7Ub0dEKhG40Nygve4HpdQXJvt8\nDMBnBo+/ppTaaMfnyhS76i/CFABblFJvGzw3EsBmpdSbSqkfANym7QtKqReUUlutf6r0c1m9fQkA\nIiIAigG4PquUm+ovW7mxDkWkAsBkAFnRU+iiOqwF8INS6g3tdQ8B2MfSh8sQB+qQ12Dz+vMDKJZA\nL3MJgA8MXjMdwENKqc+UUp8jcKzN0Lb9lFLqQ9s+XBq5rN6+1G2nAN67Bluqv2zkxvoTkT4IBJ+P\nxyt/zgaFeiLSDYHepqcB1OtObh8BqI/z9u4AtgO4UUReEJHrRaQ0XWV1I4v1p7cQwK0mzzUh0CIe\n9J72WNZyQ72JyI3a/voBuDKJfTrODfUH4HwJDL+9TEQKk9inK7ikDoHABfAR3U1S1nC4Dj8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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "1.82% of observations are greater than 3 standard deviations from the mean\n", "0.8% of observations are greater than 4 standard deviations from the mean\n", "The maximum deviation is 37.31 deviations from the mean\n" ] } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "def find_fattails(data, name):\n", " series = data[data.notnull()] # Remove null entries from series\n", " std = series.std() # Find standard deviation\n", " mean = series.mean() # Find mean\n", " \n", " print(name)\n", " \n", " plt.figure(figsize=(15, 7))\n", " plt.axhline(mean + std * 2, c='k')\n", " plt.axhline(mean + std * 3, c='k', ls='--')\n", " plt.axhline(mean - std * 2, c='k')\n", " plt.axhline(mean - std * 3, c='k', ls='--')\n", " plt.plot(series)\n", " plt.axhline(mean, c='k')\n", " plt.title('log price first-order difference: ' + name)\n", " plt.xlim(min(series.index), max(series.index))\n", " plt.show()\n", " \n", " for n in (3, 4):\n", " outliers = series[(series > mean + std * n) | (series < mean - std * n)]\n", " outliers_pct = len(outliers) / len(series) * 100\n", " print(str(round(outliers_pct, 2)) + \"% of observations are greater than \" + str(n) + \" standard deviations from the mean\")\n", " \n", " max_dev = (series.abs().max() - mean)/std\n", " print(\"The maximum deviation is \" + str(round(max_dev, 2)) + \" deviations from the mean\")\n", " \n", "for ticker in tickers:\n", " find_fattails(five_min_returns[ticker], ticker)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These plots confirm our previous observation as some observations are extremely far away from the mean. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tail Index Estimation\n", "\n", "One of the ways to measure the degree of heavy-tailedness of a distribution is to use a tail index which characterizes the rate of power decay of the distribution tails. A low index value corresponds to a high probability mass in the tails. A popular way of estimating these indices is to use an OLS log-log rank-size regression. With optimal shift, the process is as follows:\n", "\n", "1. Arrange the absolute values of returns in descending order and keep track of their rank. \n", "2. Choose a truncation level $T$ (typically 5% or 10%) and discard the $1-T$ smallest absolute returns. \n", "3. Estimate $\\mathrm{ln}\\left(t-\\frac{1}{2}\\right)=\\alpha-\\beta\\mathrm{ln}\\left(\\left|r\\right|_{\\left(t\\right)}\\right)$ using OLS where $\\left|r\\right|_{\\left(t\\right)}$ is the $t$th highest absolute return.\n", "\n", "The estimated value of $\\beta$ is the estimate for the tail index.\n", "\n", "First, we create a log-log rank-size scatter plot to determine whether the linear model is appropriate. Then, we carry out the regressions using the `statsmodels` package." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "abs_five_min_returns = abs(five_min_returns)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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k3wWfuEs/eer5qq61pJ+So1sK0zyAjEhibl4pFNbNhWIaaB61TP+gN3XrYJoH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\nWsnAC3peViPT6yW9SdK/ZfT7kaK3veqopo57fMdukiQAFFBtQ5dZHVYZu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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "quantile = 0.9\n", "\n", "plt.figure(figsize=(12, 30))\n", "\n", "for i, ticker in enumerate(tickers): \n", " truncation_level = abs_five_min_returns[ticker].quantile(quantile)\n", " condition = abs_five_min_returns[ticker] > truncation_level\n", " x = np.log(abs_five_min_returns.rank(ascending=False)[condition][ticker])\n", " y = np.log(abs_five_min_returns[condition][ticker])\n", " \n", " plt.subplot(int(len(tickers) / 2), 2, i+1)\n", " plt.scatter(x, y)\n", " plt.title(ticker)\n", " plt.xlabel('Rank')\n", " plt.ylabel('Size')\n", " plt.xlim(min(x), max(x))\n", " \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A linear model seems to provide a reasonable approximation to the relationship in the data despite the fact that some of the highest ranked observations are often outliers." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/QBatista/anaconda/lib/python3.6/site-packages/statsmodels/compat/pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n", " from pandas.core import datetools\n" ] } ], "source": [ "import statsmodels.api as sm\n", "\n", "def log_log_rank_size_reg(ticker, quantile, n):\n", " truncation_level = abs_five_min_returns[ticker].quantile(quantile)\n", " condition = abs_five_min_returns[ticker] > truncation_level\n", "\n", " Y = np.log(abs_five_min_returns.rank(ascending=False)[condition][ticker] - 1/2)\n", " X = -np.log(abs_five_min_returns[condition][ticker])\n", " X = sm.add_constant(X)\n", "\n", " model = sm.OLS(Y,X)\n", " results = model.fit()\n", "\n", " se = np.sqrt(2/n)*results.params[1]\n", "\n", " output = 'Top ' + str(round(100-quantile*100)) + '% -- ' + 'Estimated Tail Index: ' + str(round(results.params[1], 2)) + (\n", " ' -- 95% Confidence Interval: [' + str(round(results.params[1]-1.96*se, 2)) + ', ' + str(round(results.params[1]+1.96*se, 2)) + ']')\n", " \n", " print(output)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "USDT_BTC\n", "total number of observations: 353925\n", "Top 10% -- Estimated Tail Index: 2.07 -- 95% Confidence Interval: [2.06, 2.08]\n", "Top 5% -- Estimated Tail Index: 2.3 -- 95% Confidence Interval: [2.29, 2.31]\n", "\n", "USDT_ETC\n", "total number of observations: 202933\n", "Top 10% -- Estimated Tail Index: 2.76 -- 95% Confidence Interval: [2.74, 2.78]\n", "Top 5% -- Estimated Tail Index: 2.97 -- 95% Confidence Interval: [2.95, 2.99]\n", "\n", "USDT_XRP\n", "total number of observations: 353627\n", "Top 10% -- Estimated Tail Index: 1.79 -- 95% Confidence Interval: [1.78, 1.79]\n", "Top 5% -- Estimated Tail Index: 1.9 -- 95% Confidence Interval: [1.89, 1.91]\n", "\n", "USDT_ETH\n", "total number of observations: 305120\n", "Top 10% -- Estimated Tail Index: 1.89 -- 95% Confidence Interval: [1.88, 1.9]\n", "Top 5% -- Estimated Tail Index: 1.9 -- 95% Confidence Interval: [1.89, 1.91]\n", "\n", "USDT_XMR\n", "total number of observations: 354692\n", "Top 10% -- Estimated Tail Index: 1.67 -- 95% Confidence Interval: [1.67, 1.68]\n", "Top 5% -- Estimated Tail Index: 1.59 -- 95% Confidence Interval: [1.58, 1.6]\n", "\n", "USDT_LTC\n", "total number of observations: 349288\n", "Top 10% -- Estimated Tail Index: 2.07 -- 95% Confidence Interval: [2.06, 2.08]\n", "Top 5% -- Estimated Tail Index: 2.04 -- 95% Confidence Interval: [2.03, 2.05]\n", "\n", "USDT_STR\n", "total number of observations: 348131\n", "Top 10% -- Estimated Tail Index: 1.78 -- 95% Confidence Interval: [1.77, 1.79]\n", "Top 5% -- Estimated Tail Index: 1.82 -- 95% Confidence Interval: [1.81, 1.82]\n", "\n", "USDT_BCH\n", "total number of observations: 92896\n", "Top 10% -- Estimated Tail Index: 2.56 -- 95% Confidence Interval: [2.54, 2.58]\n", "Top 5% -- Estimated Tail Index: 2.69 -- 95% Confidence Interval: [2.67, 2.72]\n", "\n", "USDT_NXT\n", "total number of observations: 353909\n", "Top 10% -- Estimated Tail Index: 1.87 -- 95% Confidence Interval: [1.86, 1.88]\n", "Top 5% -- Estimated Tail Index: 2.0 -- 95% Confidence Interval: [1.99, 2.01]\n", "\n", "USDT_ZEC\n", "total number of observations: 176230\n", "Top 10% -- Estimated Tail Index: 2.13 -- 95% Confidence Interval: [2.11, 2.14]\n", "Top 5% -- Estimated Tail Index: 2.1 -- 95% Confidence Interval: [2.09, 2.11]\n", "\n", "USDT_DASH\n", "total number of observations: 354690\n", "Top 10% -- Estimated Tail Index: 2.13 -- 95% Confidence Interval: [2.12, 2.14]\n", "Top 5% -- Estimated Tail Index: 2.01 -- 95% Confidence Interval: [2.0, 2.02]\n", "\n", "USDT_REP\n", "total number of observations: 183135\n", "Top 10% -- Estimated Tail Index: 2.57 -- 95% Confidence Interval: [2.56, 2.59]\n", "Top 5% -- Estimated Tail Index: 2.79 -- 95% Confidence Interval: [2.77, 2.8]\n", "\n" ] } ], "source": [ "for ticker in tickers:\n", " print(ticker)\n", " n = abs_five_min_returns[ticker].dropna().shape[0]\n", " print(\"total number of observations: \" + str(n))\n", " log_log_rank_size_reg(ticker, 0.9, n)\n", " log_log_rank_size_reg(ticker, 0.95, n)\n", " print(\"\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All our estimates fall into the $\\left[1.5,3\\right]$ interval, which corresponds to a relatively high degree of heavy-tailedness.\n", "\n", "To put this in context, we carry out the same process on S&P 500 daily returns." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Top 5% -- Estimated Tail Index: 2.91 -- 95% Confidence Interval: [2.81, 3.02]\n" ] } ], "source": [ "import pandas_datareader as pdr\n", "import datetime\n", "\n", "start = datetime.datetime(1993, 2, 1)\n", "sp_prices = pdr.data.DataReader('SPY', data_source='yahoo', start=start)['Adj Close']\n", "sp_returns = (np.log(sp_prices) - np.log(sp_prices).shift(1)).dropna()\n", "\n", "n = sp_returns.shape[0]\n", "quantile = 0.95\n", "\n", "truncation_level = sp_returns.quantile(quantile)\n", "condition = sp_returns > truncation_level\n", "\n", "Y = np.log(sp_returns.rank(ascending=False)[condition] - 1/2)\n", "X = -np.log(sp_returns[condition])\n", "X = sm.add_constant(X)\n", "\n", "model = sm.OLS(Y,X)\n", "results = model.fit()\n", "\n", "se = np.sqrt(2/n)*results.params[1]\n", "\n", "output = 'Top ' + str(round(100-quantile*100)) + '% -- ' + 'Estimated Tail Index: ' + str(round(results.params[1], 2)) + (\n", "' -- 95% Confidence Interval: [' + str(round(results.params[1]-1.96*se, 2)) + ', ' + str(round(results.params[1]+1.96*se, 2)) + ']')\n", "\n", "print(output)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The estimated tail index is higher than that of most cryptocurrencies, which suggests that the distribution of cryptocurrency returns have fatter tails than the distribution of returns for the average U.S. based large-cap company." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion\n", "\n", "As mentioned previously, we attempted to determine whether cryptocurrency returns have, as returns of other financial securities, a fat-tailed distribution. From our analysis, not only did we find that they do, but also that the degree of heavy-tailedness is relatively high in comparison to an average U.S. based large-cap company." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] Andrei Ankudinov, Rustam Ibragimov, and Oleg Lebedev. Heavy tails and asymmetry of returns in the russian stock market. Emerging Markets Review, 32:200–219, 2017. \n", "[2] Thomas Lux and Simone Alfarano. Financial power laws: Empirical evidence,models, and mechanisms. Chaos, Solitons & Fractals, 88:3–18, 2016." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 2 }