{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
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Predictive Analytics (QBUS2820)

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Tutorial 14: Seasonal ARIMA

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\n", "\n", "This notebook brings all the forecasting material together in a case study. Our objective is to forecast the monthly ridership in Sydney trains based on data provided by the [NSW Bureau of Transport Statistics](https://opendata.transport.nsw.gov.au/search/type/dataset). This is a fundamental policy issue for the city as population growth puts [increasing pressure](http://www.smh.com.au/nsw/revealed-new-metro-between-sydney-cbd-and-parramatta-20160831-gr5d6m.html) on public transport, with some rail lines being notorious for overcrowding. \n", "\n", "#####Content:\n", "\n", "Data:-Sydney-monthly-train-journeys\">Data: Sydney monthly train journeys
\n", "Exploratory data analysis
\n", "ARIMA
\n", "(a) Identification
\n", "(b) Automatic selection
\n", "(c) Estimation
\n", "(d) Diagnostics
\n", "Exponential smoothing
\n", "Model validation
\n", "Forecast
\n", "\n", "\n", "This notebook assumes the following packages and settings." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Packages\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import statsmodels.api as sm" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Plot settings\n", "sns.set_context('notebook') \n", "sns.set_style('ticks')\n", "red='#D62728'\n", "blue='#1F77B4'\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Predefined plots\n", "\n", "# Time series plot\n", "def ts_plot(y, color=red):\n", " fig, ax= plt.subplots(figsize=(9,6))\n", " y.plot(color=color, ax=ax)\n", " ax.set_xlabel('')\n", " ax.set_xticks([], minor=True)\n", " sns.despine()\n", " return fig, ax\n", "\n", "# ACF and PACF plots\n", "def acf_pacf_plot(y):\n", " fig, ax = plt.subplots(1,2, figsize=(12,5))\n", " sm.graphics.tsa.plot_acf(y, lags=40, ax=ax[0])\n", " sm.graphics.tsa.plot_pacf(y, lags=40, ax=ax[1])\n", " sns.despine()\n", " fig.tight_layout()\n", " return fig, ax\n", "\n", "#Histogram\n", "def hist(y):\n", " fig, ax= plt.subplots(figsize=(8,5))\n", " sns.distplot(y, ax=ax, hist_kws={'alpha': 0.8, 'edgecolor':'black', 'color': blue}, \n", " kde_kws={'color': 'black', 'alpha': 0.7})\n", " sns.despine()\n", " return fig, ax" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Data: Sydney monthly train journeys" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Journeys
Month
2014-1126841635
2014-1225410266
2015-0123792244
2015-0225635930
2015-0331384893
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" ], "text/plain": [ " Journeys\n", "Month \n", "2014-11 26841635\n", "2014-12 25410266\n", "2015-01 23792244\n", "2015-02 25635930\n", "2015-03 31384893" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data=pd.read_csv('journeys.csv', index_col='Month', parse_dates=True, dayfirst=True)\n", "data.index=data.index.to_period()\n", "y=data['Journeys']\n", "data.tail()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We rescale the series to be in millions of rides, to facilitate the intepretation and avoid possible numerical problems." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "y=y/(10**6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a general rule, you should avoid working with large numbers since they lead to less precise numerical calculations and an accumulation of numerical precision errors. The next cell illustrates this problem. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.0000020265579224\n", "1.0000000000000007\n" ] } ], "source": [ "x=10**8\n", "for i in range(1000):\n", " x+=0.001\n", "print(x-10**8)\n", "\n", "x=0\n", "for i in range(1000):\n", " x+=0.001\n", "print(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Exploratory Data Analysis\n", "\n", "The next figure shows the time series. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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zJ5wA6XRdBmbmvMcC3XUimY6srMm04Jt4/YyVNfY6+TxeA4FX3b+fzI768pFl\n8sEPZuKYY1i+/PK2WbhwlYAIGEEQhMFTrYLnBZ/oR0318GEOf/rTsezHqBinOTD2+Cl/XL49Qbcr\n2QC4AyohWQFjs0DB8f0SSqO2bpuByWzaRHrzpmAOTMXvQJo8XZHZsaOrTiS3XCY1kQ3ayr1SMXg+\nW2NvamqqzsTrFovUlpYalo8sjuMw++QLcVdWWP3+91sHYj0wUkISBEEYPIEZdG2t6xHug2Dp0s9x\n99++mcJPfjLqUILtwjD6Nmp7/GDarPXAFBr7T2K3HUAJySuVSM3O+t4S2wVl/s9s2eLH1sgDYwRU\nan6ezNZtZg4M4QyYzNFHkzvtNKr798cG3jWNo1aDSiVu4i2VQtOzn4FJ5fN18VTvMf6XRgbeKHNP\nNmWk5W9+s3UsMolXEARheLhjVCYBcFf9ibFH+jPyvhfGqwvJChi7cdn83Zq1MEfpt4nXc128SsUf\nEjcVtnH7x89s3do0HtcXJen5BTJbtuAWCriFQuCBmTj6aHKnnQp0ZuQN5r3kcmEGJlpCSmRgoiI9\n2kLdisn7nwGZDOXde1rHUultkJ0IGEEQhC6IZRlajKIfFjaz4I2BqdgbpzkwpSLOxETo8/BP0F5H\nJSQjBlOzs9QWF3vOtAXtwrlcrDTTiYCxXUjphfngetWDB6ns3Ud682ZSk5NMnnYa0JmRNxAw2Www\nNyZm4p0MMzBUqzFRWvE7kDItSkhgupEymzZRtW3ezWLpcZCdCBhBEIQusJ0TEJ8pMiqsoBoHMRWb\nxDvqDEyxZKbKBidp20Zdvwk6Sc0vIWV37sSrVJquHOg4Fv/YtmwTdET595ve2qKEtLQEmQyp6Wky\n/vWq9x6gsm8fE0cfDUDOFzCd+GDCeS/tTLz+PqRITDYDM9EmAwOQ3rKF2sGDLa8TmnjFAyMIgjBw\nYrNOxqATyWtwYh4V8S6k0W+jNmWS8CQN3Zl4J3buBHovIwUCJjtBKj8ViAJbzsps3dY0ntrSEun5\neRzHIb3FZGBKt9yMVyqROfooALInnwzpdEedSGEGJheIu6iJN5XLmv8bDLOrBkPsWmdgwPh63NXV\nlmZ3ycAIgiAMkdhJehzKNoGA6S1L0A/GyQNjR+s7/gnZlrQ68cC4y8uQyTBxlMk09CpgXGuQzeZw\nJqfCDExdCal+F5IVMNHrFa/bBcDE0ceY+83lyJ5wAqWbb25b7oqWkJiYgFQKt1QOBJ7NyqTsQseI\n4AtKSG2SCsaNAAAgAElEQVRMvADpLZtN/C2yMNJGLQiCMERiGZhxKCFVbFfUGMQSfWxG3UYdDGsL\nO22gfhN0oxN+bWWF9MwM6U2bzPc9diJFjbOpqSkz+bZWCwRMevMm052UEFSe5yUEjCkhre2yAubo\n4Lq5007DXV6mevfdrWOJlLMcx8HJ5cyyy3J4OTTJwOzfD+l0EEcrMpv9clcLH4wnbdSCIAjDI15C\nGn0Gxg26a0Yfi1epmE/2jEEJqVg0Y/EjnTYQtlGnFxbAdRtmitzlZVKzs+Y69KGEFBEHzpQtaRUD\nMZXK5xu2Lburq1CrBQIm7bdbW6/LxDERAeOvGijffnvrWCIeGPN/rrGJ1y50jLSdV/fvJ7N1K44/\nUbgVgV8nsj27LhaZxCsIgjA84iWk8cl6jMNqA69cDkbMx5YmFovc9vTf4dAnPzm0WNxy2ZRsIvt+\nIBR66VazV1ZWSM3O9E/ARD0wkdKMNfGm8tOk8nm8hFnYHjfIwGzb5v+gBsQzMEHJpk2sbrSEhCkZ\necXILqRgDozdSG1i8lyXyr33tm2hDuLxMzC1Vp1IsgtJEARheLhjauIdixJSpYIzOYkzMRErIVX2\n7aOkNYUfXjWcOKpVqFZNF1Jk3w+EvqXMZnPCT+5D8qpVvEKB9Mws6YX+lJDCzp/oBuhiIJ6aZWCi\nLdTgC5lI9iMTFTC+yGk3zM5mxqywS+VyZreX//jYx8vxS0jWcFw7fBgqlZZTeKNkfEFVPdDCA1OW\nQXaCIAhDY+xMvOUxKiGVy2b2Si4XKyHZTEN0x9BA4wh8HtFx+f7jZEtIQety3DjrrpgOpNTsLOlN\n/crARDp/bGbDH0gHkJrO40w3EDD+HiSbCXJSqUB4MTERmHrBDLrrJNak18XJ5cwk3mLCA5Mw8QZD\n7Dow8AJBx1TtUBsTbyaD4zgd3WcSETCCIAhdEB9kN/qsh810jIWYqlRwslbAhBkYKxLcI0eGEkeY\n8ZiMCJh4CSnjn2CTs2BqvoBJz/SxhFQJTbzOpD9fpVgMYklNTQUZmKip2E7hTfnZFYD0NhP3xI4d\nOKnwFB7G2iYDExiKoyWkYpCBqTPx+uKzYtcIdFhCCjIwB1ubeNfrfwERMIIgCF0RG9Y2DqKhHM8s\njBKTgcni5LJxAbNqBMzQMzCTuQaD7NbAcYITft3CwsgU3lAU9NiFFMkIRc2xyRISnhfzDtWCNQKh\ngLHCK+p/gbDM1NYDY8VdNjTxRrerh5N4rQfGZmCMgOm0hJTebAVMCxNvtSoCRhAEYVjESkhjkIEJ\nSiPjYCj2MzCp3GTcK2QHt7XJwLirq31ZkBkOZcs1yMAUTMbDNxvXlW0CATNjbp/PU+15DkwoGlJT\n1gOzFmSmTAamPp5aZA+SxS5+jHYgmet06YGxJSRfsNT8v40TXSUQiafTPUiWVC5nVjG0y8Cs08AL\nImAEQRC6YuzmwAQemNEOsvM8L+GBaZyB8Vy34e3Ld9yBPucRLF5ySe+xBBmPSAnJ/1t5hTWcfD6S\nCUm0LgclJLMEMr0w3z8PjL/MEcw8GrdQMI9XNttw7kpg4o1mYPwSUiaRgUnNzEA63V7AlBMmXt+0\nWzuyBI4TZESCx2fNlpC688CAMUq3mwMjGRhBEIQhMXYm3nHpQvJbYlNZv4QUbaO2J2XXbTr9tnjz\nzVCrsXLZ5T2HEjPxOg5ONhtkhNxikdTkJKlpKxialZBmAMgsbKJ2OBQwi5+9lDtf/gpue+Yzuem8\n89j/9nd0Hk82R2rSCoNiIKag8eC4IAOzEPHA2AzMUXEB4zgO6fn2Yisw8WYngpgA3KUjpoPMN9Q6\nCYHXbQnJxlo7dAjPb/uui6ValQyMIAjCsIgucxwPE+94dCEFwm5iglQ2h1epBNkWm4GB5mUke+It\nXHNN0yxNpwRD2exiwsnJmInXmmahUQnJz8DM2gzMgsmWFIu45TJ3v+UtrFxxBeXb76B24CArV1zR\nNp7QxJuNzVdxC4UgjqRpFurnwADMXXghc095MrNPfELdcdILC20zMNGWbjA+ITBiyV5m4vHn+fgC\nr/KrX5GamQlKb52Q2bIFXLdpTJKBEQRBGCLxEtIYZGDK4+GBseZmk4HxyzaBwThyUm5i5LUna/fI\nEUq33NJbLHWtwtlICamAk48KmGQbtZ+BmQkFjI2veO21eKUSm57/fNTPfsrEccfFxFkzoh6YcAN0\nsbGASWZg0mlSvpgCmDjqKI595zsDL0yU9Pw8taWllj6ipAfGijyvXA4uM/GEJt7VH11N+bbbyJ99\ndtvfNRZPu31Ilcq6N1EDrP+WLVBKTQAfBk4EcsA/AFcBHwA2AWngRVrrWwdxfEEQhEExTiZer1YL\nSjdUKj1/ou2FYMLrxASOa06gXqkEk5NdZWAA1n72MyZPO239sRTjQ9lS2RxuuWyG1FUqpKZCD4yX\nyFxZgZX2S0jBPqTFRVavvhqA6Uc9EsdxSE1PU+lgyF1UNKRSZhCd7UKaOO44E2MDQVVbWiI9N9fx\nnJT0/DzUargrK0EGqS6WBpN4LTYbA8Q8Qgfe+14Atr7yFR3FYQn2IR08SO7UU+tjqVTWPcQOBpeB\neQFwUGt9HnAh8B7g7cDFWuvHAm8ETh/QsQVBEAaGO0Ym3qiYghHHYxfzTUwEe3aC1uUuMjAAhZ/+\nrKdQGnXaJOeuOE1KSO5yOMgO4hmYwtU/BscJMhGp6em62S2N44l4YGwX0uoqXqkUCIXQkxPPwETL\nR+0IYm1RRorGAqHIgzAbA2a8v5PNUty1i8LVVzN93nlMPehBHccC4bDAapMMjPHAjJ+A+QzwJv9r\nB6gC5wLHKaUuA54PXDGgYwuCIAyMeAZmxL6TxCLCUfpgojt2nEhZAhK+jqUmGRjfKOtMTbH205/2\nFItXiu/1sXNprGE31ra8muxCalxCqu7fz9o115BTKrgsNZ03CyHbPO7R4XHWHFs7bLpzmpWQkpuo\nOyFopT7c3MhrBx9akWmFDMSzMTYmmz3b9qpXdhyHxWZgmrVSj6UHRmu9orVeVkrNApdgMi4nAoe1\n1k8A9gB/3e5+lFIXKaW86D+g9apNQRCEARKbxDviDIybyMCMUlB5kQyMnfIaGGcjZRF3uUUJKZVi\n+hGPoLJ3L5V9+xper1kXU+w6dRuXJ/1x+ebxcaYm6wa1BXEEJl6/hOSLlZXvfg+vVCJ/zsOD6waz\nZNr4YELRkAsyLnZHUFLA2MnAXqEAlQqphW4yMO1nwdSXkKIZmFzsuo7/GE2fey5TD3lIx3FYwmm8\n9RkYr1YDzxuegFFKzSmlHtDhdXcC3wY+obX+JHAQ+KL/4y8Bbd1AWuuLtNZO9B9wUjcxC4Ig9JNx\nMvGOUwnJCjtnIhucCAMBE83AHGleQkrPz5N/uDk1FH5WX0Za+f6V6Ied1fBnsVjsXp9Jm4HJQa0W\niJPUVL5pF5K7vAzpdJApsR4Y2200fc45wXU7FTDhLqRwEq+dj2JLR8l4Gk3hbUdYQmqegakz8cY8\nMPUZGICtr3pVxzHE4mmxDykQvINso1ZK/ZFS6sNKqW3A9cAlSql/aHObHcA3gb/WWn/Yv/j7wFP8\nrx8L/HLdUQuCIIwIKxpSs7OjN/EmBUwH2YlBEbQKZyfC2SLF7jIw6YUFph72MADWGvhgVr/3PQCK\nu1qfPpJdSFZQWZ9NamrK/CyVqm+jXlkmPTMTGGeDlQOrqzH/C4Qn+FpbARPGY3ch2c4cK5ScRBt1\n2EK9QKcEJaQWs2CisZj/Q9ES9cMAbHnxS9j6J68m/7CHdhxDlFb7kKIZu/XSifR5BfBEjDH3C8Br\nMB1Fb2xxm9djuo3epJSyXpjfBz6olHoFsAQ8b71BC4IgjAorGtJzc0Pb7dM0loQHxhtlBqYSZmDw\nlwxaIeGuFsxlrtswA2P9HtkTTmDyAQ/AyeUaZlmKN94INDeFWqKrBCA8WQcCJj9luoimphrsQlqJ\ntS1bAQPE/C8QZmCSCyHrfr8GJt4gA9PEA9NoiF07OjLxJkpIUdES9cMALDzrmR0fuxGpuTmYmGi4\nD8nzu+d6ycB0dEut9SGl1FOAd2utq0qpqTbXfw1G6CR54jpiFARBGBuCDMz8HFV/Q++oYyGdNu2z\nXXpgKvv2Ud2/f13+hvpYfAGTnTDxEPXAFMhs20Z1/35qDTIw7vIy1GqkFxZIZbNMPfCBFH76U2rL\ny0E7sOd5FG+4AWi9IBAiJaRcpIQE1PyWZ5v1MBugE3NglpeZOOGE4PvMplCwRP0vAGlfwLTNwPjZ\nqVQui5NO42Sz4fPINxMndyFV7vZH9/tlmE6wW6vdFgLG+nFs5iM6+8VJZGB6xXEcMps3NzTxhiXH\nwXpgfqmU+jJwMnCZUurTwI/XfURBEIQNTJCBmZ0z02b9T5Ke63LHc5/HPf/6rqHFYs2q6bk5832X\nAmb/297O7he+qC+ZpKCEFPHAuKUSnufhrq4GSwDdBl1IQbnEzyBMnXUWeB5rP/95cJ3q3r3BDJlW\nCwIhWkKKZxnCElKY9YiWkLxaDbdQID0zE1zm5PPBSTbqf4EuTLylsslA+dkG64OxMZj7imdgyreZ\nMWm5+53S8r6j2HJT6xKSGVgXrAzINW6j7hfpLU32IVWtgBnsKoFXYGa4PFJrXQY+AfzRuo8oCIIw\nRI5845vsfvGL++YPcStmYWEw6Mv6PFZWWLvmGgpXXdWX43SC/RRrvQ/dlpAq+/biVSpU7ryzb7GY\nLiS/jbpUNqWlapX07CypmZmGYikpYPJnnwVAwR8cB2H5CDopIfldP9bEm00KGP/yfD4YlQ/hIsdo\nCclxHBNXwv8C3Zh4S6a9PLFnyMQyFfvfPk9LtxgBkz2lCwETzKxpXUKy5SNobeLtB5nNW/AKhbrX\nny05DnqQ3Q3Ac4BTALTWX9JaV9d9REEQhCGy/I2vU/jhVbFP873glSvmZDRlR8KbE2DNZgf8k+Aw\nsJkGK2CSiwnb4fonuvKePggY64Hxlzna+OzJPZXPk5qbbTiJt07AnHUWTEyw+oMfBtcpXn9DeP0D\nbUpISaNqIgMTLyGFg+iSLdSWuac9jYVnPzvmf4GogGnvgYllOqICxs+8OOk0zuRkKGBuvZX05s1k\n/C6oTkhN5yGTaWvijZWNWph4+4FdeZDMwgQemAELmNMxpt23KqWuVUr9pVLqqHUfURAEYYjYDoji\n9df35f7sJ9hgq7Cf9bDGSXeIxl57orazQrpt67YxV+7qRwYmXCUQLSHZk3tqepr0bGPjcyBgfL9J\nKp8n/5CHULz+eqq+b8VmYDI7dlA9eLDl9Fu3FDfx1nchRYyznhdkrpJD7Cw7XvdXHP33b6k7Tjdz\nYFKRrIcVv0EMka/dQgG3WKRy553kusi+QGQjdRsPTDQWOysH4mKmX9jt2UnRGWTJIrF0S1sBo7Uu\naK0/4Q+gezPGnHurUurzSqn7rfvIgiAIQ8AaPvsuYGwGxvedWOEyzM4kKxoyfmagm0F2nusGWaPy\nnXf1HkssA+PPgSnGMzDp2VnclZW6bdPWXBvNcEw/+lHgeRR+9CMASjfcQHrrVnKnKzNVt0XWo26V\nQDZu4rVD7IKyTeJvmEpkYJrRcQmpXElkYOKiJfq1WyhQvv128DyyXfhfLO02UtsMoiW2Cym3fjHR\njKCVOpGBcY+YGFO+f2s9dDIH5n7+RNybgFdiJuhuAf4T+Nq6jywIgtAFNuXcLdbwWfxlfwWMU5eB\nMWLAW1sL6/sDJpg4a0tIXcylcVdWwBcS/fHARJY5Zu026lLQ5ZOanjYnK88LvCaWaqKEBDD96EcD\nsPqDH1JbXKSydy+Tp58edOXUWnQi2YxKsxJSKlJCgkjrclBCarwIMUm3HpjgdlHRkDD0uqurgf8l\nd0r3OYJgI3VCJMZiiZWQIsJqAB4Ym4FJ+pbCQX2dz7lJ0kkJ6VuABzxRa/1ErfUntdZFrfVXgS+v\n+8iCIAgdUvjZNdx4pmmt7QavWg1OWuXdu/viTwlLSP5SvjXrgQk/9TY7jru2xh3PfR5LX/5Kz3GY\nWOImXnetc6Ny9FN6uR8CJpKBiS5zDEtI+UAY1BI+mKQHBmDyAQ8gNTvL6g9/SPFGbS4744zQU9HC\nyOuWS0ZI+fNobAmp2kzA+DE2KyE1oysBExUK+fouJPu1WyhQuvUWoLsOJEt6YQFct04kNo0lloEZ\ngInXlpDqBIx5DqTnB5iBwbRP/zMwr5RylFLT9gda69eu+8iCIAgdUrzRGDiTRtzVq67ilt94PJVf\n/arh7aqHDkHEK1G64YaG1+uGIAMTmHh9/0TkpNzMB1O65VbWrrmGI1/rT/LaemDsp9joZGCvVmtZ\nzop2qlT27l13his4XjQDMxl2IQUZmPx0UC5IGnkbCRgnk2H6kY+gcuedLH/zmwBMnnE6aVuSaGHk\n9YqlRGnEj8fPtIQmXvO/t2YzMObxSpp4m9G5B6Yc98BMRgXMdOTrPFSrlG4wfp/sySd3FEeUYBpv\ngzKS53l4dbEM1sSb3tx4Gq8VselBlpCAxwG/wEzhPQq4Qyn1m+s+oiAIQpfYE0/13vhJa/XKK6ns\n3cvatdc2vF3Nr7vbN9F++GCMgJkITbxr8RISNPfB2A3ElT27e44DwtkrYQYm9MAc+sQnuPkx51HZ\n33jYXuwEV6tRufvuHmOJeGBsCSmZgfFPVslpvFbAZBJdPvlHPQqAxUsvBSB3+hlhCanRbBEbS7GY\nKJPEvR2p5Ph+//nlLte3UbcizOA0FzCe60Il6YGp70KKfr123XWk5ubIbNvWURxRWq0TiP6NLM7E\nBAQzYQaQgdnauORn9zV1s+spSScC5q3AY4BFrfU+4HzgHes+oiAIQpfYSafVe++NXW4n4dpOlSR2\n4+/0Y84FehcwnufhVSqkJiImXttGvRzNwDRO31sjY3nPnU09Ct0QDLJr0IVUuuEGvFKpqVgKTiB+\nir+yZ09PscS7kCJt1BEPTHrOLyEtJzMwS6Ty+diJFWDG98F4xSJOPk/2hOPJbPVLSAdalZDKsc3K\nyS3LzTwwYQmpswyMk0rh+L6VZgSPS0zARLIeDYba1Q4dInfKKcHcmG5oNQsm2V4OpnMpXOw4gAxM\nEE9cUNksXGpusAImpbUOpLnWuj9OOEEQhA4JMzBxAVPxBUytiYCxn/ryD3sYqXw+NktkXXFEswyJ\nDIwby8A0WVh4yMTplUp9WUMQTgX2x+1H5sBYUdesI8WeUKbOPBPovROpURdSzAOTz5OatSWk+gxM\ncsYKwMQJJ5A55mgAJk87DSedJr3ZemBam3gblZDMnU4Es0dsN9B6TbxgsiYtBUywBynaRu1ngHI5\nHH/tAoQZIVif/wVCMdswA9NAwEBkZ9QATLypXI5UPk/1cDyeYXlg7lJKPRXwlFILSqk3AL1JdUEQ\nhC5omoHxv68dbjy4y9bdM9u2kTvjDEq33tr1uP0o0UV49lO0mxhkB80zMLaEBFC+o/cyUtAuPDlp\nhqBFJvHax6SpgPEvn/QFTK+zYGIeGNtGHfXAtMzANBYwjuME3Ui5M04HCDIwtRYZGGNUjc43iXQA\nNch42AGAYRt1FwImn6dWaC5ggk6xaAyT8QxQMh7obgJvlJYemHK4MTyKk5hY3G/SmzbVfcgIupAG\n7IF5GfB8YCdwG/AQ4KXrPqIgCEKXBBmYhHGzeo8VME1KSP6n9PTmzUze//7gupRuumn9cUQETGBU\ntW3UUQGz0tgDE52FUe6DDyaMJ0dqcjJWQrKfwJuNlXcDAfMAE0/fMjCRNupisUkGJvJYlUp4a2sN\nBQzA7BOeAMD0w80ixfTCAqRSjffrRO4zFZsw26Rkk9g/VPP/bukOS0jmPqZbz6SJ/I2C2+TbC5hu\nh9hZwo3U9aI+FFNxoWLbzAdRQgJfwCQyQrUjR0zZsIdJvG23KGmt7wGeu+4jCIIg9IjNwLjLy7jF\nojlZr62Fy/2alZD8T+mZrVuNgMH4YKYe/OB1xRHPwCRLSJE26iNNTLyHwjh79ZxAvDzh5KdiJaRa\n2xKSuTx36qk4uVwfPTCRNuroKoHpsNsm+vg06kCKMnvBBZzyja8zcfzx5v7TadKbNzddJ+BVq1Cr\nNZ910mAPkRUw1f33mLJOQli0Ip2fxisU8Fw3aNuOxdPAA2PFb7Sd2nwfPkbrFjCBibdVBiZRQsoO\nroQE5m/rFYu4a2vhY760FEyQXi9tBYxS6knAPwCbgcBRpLXuvr9LEARhHXiRT7jVe+8lu3NnrJxU\nXWySgfE/pWe2bIkJmHXHERUwkwkTbwdt1NHOmfLu3jMwbjksT6QmpwIx4JXLwRyQdiWk9MICEzuP\no3xXHzMwExOQTvslpDADY/0ebqSEFEzhbbHzJ3vCCbHvM5s3U9m7t+F1gxH1TUy8ycFxYObn1JaW\nKN10E/mzz+7KPBu0UhfWSM9M1/28kQfGem+SQinYTJ3Pkzn66I5jiNIqAxN9/kYJBFVucBkYMH9r\nK2BqS0tM7NzZ0/12UkL6d+DvgMdjWqrtP0EQhKEQ9RhY4RIVMM09MAdwpqZI5fPkTjkZJ5cLJvJ6\nrotXq3UVR9RDEDXxep5HbXk5aNeuNSshHT5MettWUvk85d19yMCUI8PjpqYCf081kq5vKWDSaVLT\n02SP24l75EjLEfRtY6mEHhgwGQfTRp2YxEt3GZhGZLZuwV1ZCUoisTjKDTptmmVgIl1IhZ/+DDyP\nvF+q6pR2s2C8Rh6YKZuBSQgY/76y6+xAgjYemMDEm2grH6CJF8IdV9ZY7lUquKurPflfoIMMDHBA\nay0TdwVBGBnxDIwpHUS7eJp3IR0KJoE6mQw5pSju2sXNFzyO6oEDZLZv45SvfCV2UmsZRxMTr1co\nQLXKxLHHUjt0qLmJ99AhJo45BrZto3zb7Xiet+4TFcS7SpypSbPGwPNigq7RJ3Fz+RLp+Xkcx2Hi\nePNJuHznXUwl5nL86s//gtrqCse///2tY/HFlB2Slspm/TbqAqRSxmjseeA4MRPvegRMOlgncJDU\nMcfE47BrBCbbCxjHz4R4hQKFH/8YgPw5/RUwbqm+bBMO0otnbKygWW/5CPyszsREwy6kZh6YzPbt\nRmB2+DroFrtRO/Bl2YGBPcyAgc4EzPeUUu8Evg4EFnet9Xd7OrIgCEKHNMzARARMsr4OZmZL9dAh\npvzSEcDchRdSuvlmnHSazPZtVPfuY/XKKwOjaDusgElFTbxrxaB8NHHMMRSvu65hG7Xrl3XSmzeT\nXligdP0NVO+5h4kdOzp9GJrGYwSVfzIuFmOCLtreHcUKGIDscUbAVO7cw5Rv6gXzSXn5ssvAcdqK\nrUYZGLdUhtVVUz5yHHAcUrOzsTbqdWVgIusEJhICptFJOvZ1vpGJd43SbT+BiYmu/VFtMzANMkLB\nHJqEYMiedCKk0+Qf+YiuYojiOA7phXnclh6YeAbmqL+7iNriIk6mE0nQPWEJKd4Zl+qhhRo6EzDn\n+P8/NHKZB/xGT0cWBGGs2f+Od1C9516OfcfbRx1KnQcGwhkwEzt3UrnzTmqLi7ETgru0BJVKMKgN\nYMtLXsyWl7wYgLVrr+WO33sOy9+6rGMB4zYy8RZDAZPZssW0MzfIwFhRkdm8iQlfMJR37+5NwJRK\nZq5JKhXuZioWqUU8Qc1GyteWlsj6HoSJnceZeBKdSKXbbw9Oet7aWktzq83AkCwhES+VpGdnY36h\n9WVgmq8TCLNS0TkwrT0w1XvvNebuBz2o6yxEewFjTbz1rdzJY+VOOonTfvSj2HTe9ZCen6d2b6PH\nprGJNz0729Xsm67jsb4c/zXgBmsEBp+B+ZTW+n09HUUQhA3Hyv9+m8r+/aMOA891cQsFMtu2Ub33\n3kgGxvyfU6cZAXP4MBMR42PUwNuIyTPPJLNjB8tXXIFXqXTUzhn1nASzTtbWYp8oU7MzDU28wVqD\nTZvJnmA6aip79sA559Rdt1PcSrjXJtjrUyjEygeNBIy7ugrVapiB8Tt8klupSzfeGN7P4cN1no1k\nLM7ERJClSeWyVJeW8KrVmNchNTdHJWJgtp/Ku8vAhCWkJOEm6sgcmEwGMhmoVoNMFfiZiFSKteuu\ng1qta/8LRE28rT0w0axH7pRTmHvKU5j7rd+qu34jI3C3pOcXKN96W11nVJgNyja76UBIL4QmXohu\nou5NwHRi4n11T0cYEuXdu7nnXe8a2hp7Qfh1xy0Vg/bQUeL5xlTbiZI08eZOPdV8n/DB2E/n6a2N\nBYyTSjH7+MfjLi1R+MlPOosl0irsOA7O1BRusRj7RJmemW24C6ka7GXaFPwuvRp5vVI5ODEGpuJo\nCSmVwl1ZqXtftC22VjRMHHusiSchYIo3hAKm2sBTEYslIQKdbM6UzQqFugyMWygEyyODDMym7ky8\nUL8gEELPSSqx1ycQetEJvY5jYvPN3PmHn91xDMH9duiBiXVCZbMc+85/YbqHUlEr0gsL4Hl1QrpZ\nCWnQBCWkRStgep/CC50JmDuVUv+rlHqrUupv7b+ejjoAFi/9HAff937WfvGLUYciCL8W2HSzF5nu\nOgrsDBjbvWOFSfWee0hv2hSUYJKdSPbTeWZzYwEDMPtEUzpa/tZlHcWSPAHY4XG2qyY9N2s8Hg0z\nMLaEtDmYadJrK7VXLod7bCJzaayYs8IkKaiCPUj+HI7U5CSZ7dvrMjB2Czg07/SKxZLYcuwVi3hr\na7EZMPakZWNaXwmp+ToBr2RNvHEBYx8np272ii+u0mmmHvqwjmMIbt9hF9Kgptw2otlCx2Ym3oHH\nsym+D6l2ZHgZmKuA72AMvE7k31hhnzyt1scLgtA5Vrj0Mnq/L3HYOSLT00EZCYyAyWzbVldftwRr\nBJpkYADyZ59Nan6e5csv7yjTFBhVbdZjatI38folpLk50rOzpk000eJr1wikN20ms20bTj5Pudfh\ncaVSLBYAb60QiA2b6UkONXODkld4AskefzyVffuo+fNjPM+jdEO8hNQylkQGJpXLgueZryMZmGAa\nb277cgsAACAASURBVFTAZDIxkdMOWxZstE6g0eh+iMw6mUq0LvvCb/L+919X+SYwAnfhgRk0zVqp\nAw/MkAWM3TKe3M+VGnQbtdb673o6wpCwI7TdleY7KQRB6Bx7IkgKmP3veAfp2Tm2vvxlQ4nDZmBS\n+TyZbdso79lDbXkZd2WFzPbtdfV1S7BGoIkHBkzHzOwFF7D0hS9Q3LWLqQc9qGUs9RmYKWpLS7ES\nkt2j4x45QmrbtjCeSAnJcRyyxx9Pec+enlqpvXI5yGgEiwkjJaTsiSey+v3v17VSN/Ig5B/xCAo/\n+QmrV/6AuSf9JtX9+01nSjaLVy43bMuNx1KJZ2Cio/OjGRj/8bFZK7sHqZvHIOPP26k29MDUm3gh\nUkJKGGcdX4Dkz+6+fARddCENsWwTZLkSHWjREugwcbJZUtPTgbC2nXG9mnjbZmCUUq5Sqpb419vW\nrwHg2XHeq43nLwiC0DletQq+R8FOUrUsfvozLF566fBiiWRg0tu2gucF5tLM9u119XVLsEaghYCB\n7spIyWV4qclJ38Qb1vTTs2aPTi3RiRQtIYHJeHiFQt2Cym5wy+XgZBR0IRXWqB0+jDM5SWbHdnPs\nxCfxUMCEZZuZCy4AYOWKKwAo3mDKR1MPM2WVbjMwsbbhaAZmzgo8E0N1cZFMF/4X8E+I8/PUDjUQ\nMA3alqHV+H5fwKzDwAudeGCGX7YJBwYmMjAjMvFCfKGj7UJL97hKoK2A0VqntNZprXUamAT+D/CZ\nno46AOynxFZrzQVB6Aw7jh1CAQGmrOAWCrhrzZfXNcOrVtn7+jew+oMfdHW7ZAYGwnUAme3b6qZ8\nWtp1IVmmzz0XZ3LSzDtp9zuUkyWkqVgbdXpuLiyRJKbxBiUkK2CinUjrxGxd9r0dU+Fqg9riIulN\nm4IMi5sUMIv1GZjJB9yf9NatrHz3u3iuG4jE6Uc9yr9NGwGT9MBE24ZjGZhwGq9Xq+EeORITUp2S\n2bKFaqMSkl/6TC4mTHqFLBNHHY0zNUX+rO79LxAKoFpTD8zwyzY2s5H0Yo3KAwPhQkfbwg+9baKG\nzjwwAVrritb6M4zhDJhgH8mKZGAEoVfsJzWIl5C8chlqtdjSwLrbVqvc/nvP4cD7/zN2efn221m6\n9FIOfOAD3cWS8MAArP3ylwBktm0L6ut1224PHDDeijZGwdTUFPlHnEP59ttbbjiGcA5MrKPFdan5\n5SrjgfEzMImFjtXDh8FxAtEQGnnXJ2CCpYVBacTu9TEZmPSmhUAYNM3ARD4BO6kUM499LLWDBynu\n2hV0IE0/2gqY7rqQUm0yMLXlI0b4eV5XHUiWzObN5oToZwqDOJoIhlSiW8uy4w2v56TPfnbdhtKx\nNPHaxzhZQhqRBwaMkdfzN4/XjiwFQw17oZNlji+KfOsADwDKPR11AAQbYRNPIndtjeqBA8HAJkEQ\n2hPtPIoKGFtOcv2R9Y18C5W791O89lpS03m2vuylweX2w8XaNT+v+7TeimgGxp4I7T6jzPbtppww\nM1PXJVM9dIjM5s0deSsmTzuN1e98l9Itt5BpMZelPgNjsh6V/fcEe4VSM36JJJmBOXTYeD38hYbW\nYFu4+kcsPOuZseu6q6ttTa1Jc6hdbVBbXDJzcxY2Nd1M3GwOx8wF57N06aWsXHEFxRtvJL1pEzml\ngPoMV6N4OvLA+J+63SPLlG+7zVzWRQdScD9bTTmxeugQE9u3h3HYLqQOS0iZTZuCUffrId1OwFRs\nG/UQPTBNS0ijaaOGyDqBw4fNJuq5uYbbu7uhk1tHFzie71/2nJ6OOgCCElLCxHvgP97Hbb/11IZm\nL0EQGhMtIbmRbItrJ+K6bvBmmKR6jxl+l3wt2tt6xSJru3Z1HEssA7PVZGDsic+euKL19SCOgweb\nzoBJkrvf/QAo3XJL61gig+zAmHgBqvv3k56dNWPcgwxDUsAcCspHAFMPeQi5U09l6QtfZPFznw8u\nP/iRj6Iffg5LX2q9gq7OUOyXRir79gHmMbEZlroMjG1dTgiY6UefCxMTHPnq16js2cPkGaeTShgw\nG8ZSq5lsUNQDMxkVMJE5MP7J9dDHP87uF7wQMGbjbgk6kRJZs2ZlkmYlpF5x8nlwnPC1kcBtMMhu\n0KRsCSmRBQzE3RCzQZZ00Im0SG3pSM/lI+jMA/Ni4KXAvwDvBl6vtb695yP3GS8QMPESUnn3brxy\nObY3RRCE1tg3OiDmd4lOG02aey3V/VbAxF+L0e8LV/+441gaeWBse24mIWA8/3K3UMArFIKJre3I\n+gKm3FbAJEWDb5xdWQn2uoRdSOHJw6vVqC0txT7pp7JZjnvPv5Oam+PuN7+ZtV2/5J53vYt73vY2\ncF2Ku65rGUswIC1rNwlbAbMXMCeMZu20taXGKfz0zDTTDz+b8h13AJA7/YzgvlqVkOygvOhJOlZC\nimZgbAfR/v1MnnEGx77rX9n84he3/F0bEQyzS/hg7LnASQiVYONyvwWMPwyv2ethNB4Y2+kVLyH1\na4DcumKKLHSsHTnS8wwY6KwL6SzgZuBjwEeAPUqpwYwP7AFr3KorIfmfgsTcKwid45WamHijXzeZ\nD2M/LNS9FiPf282/HcXiHzM9PU1m+7bYz+yn8PSmBbxyObhuYOCNZDxakTv5ZHAcSjd3J2Cifgpr\nnEzN+B6YSAmptrhovB6JeLInnMCx73g7XqXC7he8gIPvez+Zo44CoLJ3X+tYEjNpbGmkstcXMBET\nb7KUUFtaJN0khT9z/vnB15NnnB7cV1Qg1sfiC5jEJF5L1AOTO/lkjv7Hf2Dnhz7IiZ+9hLkLL1xX\nKcF6m9zE4kwrJJJrD9ILC+A4PZWLmsYyPd3eAzNUAdO4hFQ7fNj4wvzn6DCx4w6q++/GKxaHk4HB\nZF2eo7U+S2v9UOCZwL/3fOQ+4zbJwATTHu/j5t5Rj4MXNhaxElIDD0zy8iiV/b6ASWZgIiMOCtdc\n0/HaD5uBcfJ5c0L2T5LpzZuDk3cmkp4G38BL8zUCSVJTU0zs3NlBCSm+cTk6lt6+Ids5J9GFjrXI\nDJgkM+efz7bX/ClesUhOKU789KdwstmgFNQ0lsSJ0cZS3WtLSAs4U1M4ExMNMzDNfCcxAXN6KGCs\nAbNhLA28FU6TDAzAwrOexcy55657/g2EAiWZ+bClnFQ+fsytf/JqTvjEx8MsXh9pJWBc3xCfGmIJ\nyclmTYdcooRUW1wkPT/f0+O+XmwGpnyHmT7d6yZq6EzAzGitf2S/0VpfhWmnHivsC6uWmANjB0zd\nlzMwBz/6UW4+/3xqMuRP6JBYCSnigYm2irpNOpGCElKhYLwR9ra+oJk4wcw/KfqdRG1jiWRgnFQq\nyLpkIsbN5DA763nrtIQExgdTO3y4pV+umYkXwu6acNJsmBmoJmbAJNnyspdx/Mc/xgkXX8zE9u1k\njj6qvYBJmHidqfgJPbPJDMxLLczjRky8nufhLi6RajKDI3viiWRPOYXU9DTZk04CItuEm5SRGmZg\nom3ULZZArpdAwDRo3DA/rzfrrndYXdtYWmVgRrV/KLH1G3wBs46Or77E4x/Xrs8YSgkJOKSUerr9\nRin1DGCsHLFetRq8gJJGqpqUkCju+iW1ew9Q3X/3qEMR1kFRa2550pNY29XZCb8fNMvAeLEMTGsP\nDCQyNv5rcPaCxwGw2mEZKZqBAYJP0NFyUnKYXShgOishQcTI26KMFJRtJuImXghLSI0G2UXXCDTC\ncRymzzknGGU/cfQx1A4eDErjDWMpxT/Zp6binyvtY5Ken49lYLy1NbxKpeUJ5Lj3/DvHf/SjZosz\nNJ21E9xng5N0Mw9Mv7AZlroMjC0h9dnr0jKW6Wmz9ynR0g2+ByaVMtuwh0h6fi4mYLxazXhP1tHx\n1Zd4FhICpscpvNCZgHkp8Hql1AGl1EHgb4CX93zkPhJ9kUfT1l5kG2czh/h9Aftp2raaCxuL4q5d\nVHbvYe0XPx/aMeNzYKIm3sZfR6ncGxrmo69H25U087gLgM59MNEMDEQEzLYGAsZO+vQFTLqbDMyp\n7TuR3OQk3qn6EpL1F0SHiFVblJAaMXHMMeZ2dzf/0BHG0ri7JhAwc/PUjhwJysiNpvAmyZ10ElMP\nPDP4PhMxYDaiGw9MvwgzMPUCxsnlAvE1DIJZMA1eE3bY4LDLNqm5edzl5fDvbmfujEjA2OeQ3f/V\nDyNx07+wUuojgHVsXQ/sAY5gDL1j9VE+Wpd1V1eD+RReqRTJzNx3MzD207Qd9ieMJ57rsnLFFeTP\neURsqVxgUB9iCTD6ocBrIloa+SE8z6O6PyJgoiUn/+vsiSeSPekk1n7yU7xqte2Jpra6ijMxEfpd\nggxMpISU2HZru2gmdmynU8JW6pubXsdLDLKLmXj9N2THnwcTbaNOrhFox8TRRwPGkNusxTjobrGx\nTEyYT/l+FiCagcF1cVdWSM/NNZ0B04pwYWYTAdPIAzM54AzMdBMPTKEwEMHUOpZwFkzSnOqVS0P1\nv1jSs7Pm7766aspJ/t9uECbmjuLxn0P2fWPQJaQrMFuov+N//WXge8B24NM9H7mPxNKsrhv6YSLp\ns/uygPGaLOUTxou1a67hrle+isXPxDd12OV0SVPsIPHazYFJXB5cduRIfAheLANjvk7NzJB/+MNx\nC4Vg304r3NXV2Akps9VkVaLDy+ybcvXwYSMEr/wB6a1byZ5yStv7t2RPPhlSqZYZmLo5MDEPTHji\nSs3OxjIwoYm3QwFzjC9gWvhggnJWtFQTycLYE0aylbrRGoF2JDNc9bHUZ2CaTeLtF01NvCMRMM03\nUrvl8mgm3yYWOgazf0aUgXEmJmJt+71uooYWGRit9cea/UwpNbxifAck30hrKyumLz/65nkfFjBu\nUEISATPO2DeYZJo++PsNcVFpfA5M511IlYj/BYgZxwMBk8+Tf/jDWfz0pylc/WOmHvjAlrG4hULs\nE/zUQx4CjsPkA8PN0dETbOnGG6kdOMD805/eVXtuKpcju3Mn5ZtvaTpl2CuXwXECP4PToAsJjA+m\nck+4pLEaeGA6LCEFGZgWAiYYkBYRDZOTuMvLOPl8ICBi03h37lxnBqZNCSlRWjNf+3NXBlTOaSVg\nouJ2GLRaJ+CVOp863U/CYXZLwLEjFzBgnv9W2A/LAxOglDpKKfVyYLntlYdIsjRin0SuZGCA8NO0\n18IQKIwem0lM/p2CDMwQn8NuqZM26vp6f9U/adtMQ/RDRK1gMilOKkXutNMAqPzqrvaxrBZik1xn\nznsMp//i50yd+YDgslDALLLyve8DMH3eeW3vO0n21PtRW1oK2rCT2HH5VtzETbzRDMyc8R/4c1OC\nElKHAiZzdPsMTKOJs3ZIWyZykkpO4w1PZN1kYGwJqfMMTLDiYEDZkPHKwLQSMKXRZGBm7TA7f5SI\n/7cbqYBp8LzshW6nB90POAd4YasrKaUmlFKfUEp9Tyl1tVLqtyM/e55S6ofriLUpSXOq9QpEa9D3\nbQHjf4JvsYBPGD2BUCklBIz//TDb4KMlJK+JibeRB8Z2IOVOPtlcfzVu4rVv9MEE28hxmmFOSHEP\nRfITbZBlOHyYle99FxyH6XMf3fa+k7RbKZDc9xMvIYVvyKnZGd9/YB6v2qFDZvdL5ATfiiAD40/V\nbRYLJDp/fAETzfSkghKSn+HrKQPTfRfSIPwv4Ge/Uqn4c7JchkoFJz+8DiQIDeaNNlIbATMCD8x8\nfJhdIFxH5IExx44ImCENsgvQWn9fa/0SrXVzl5vhBcBBrfV5wIXAewCUUg8F/hCzFLJvuMX46Gj7\npumKgAHCT2ruGJh4vXKZu177WlavumrUoYwdtvPHS5zU3RF4YKIiKuZ7aTMHxu5ByloBkyjj2g4d\nJ2dO/O2ygq5/QopmYBrhZDKk5uYo33Una9f8nMkHPXBdZsXc/U4FmrdS1y0sbGDiBUgnFjpWDx/u\nKp7U5CTpLVuCqboNYynFu5Ds7SB+kqrzwCw13oPUiqRJui6WhhmYAQuYBiP8wxkwgzlm01iazKQB\n8xxOjWD3UFhCGg8PDEBmof552Qu9rYJszmeAN/lfO0BVKbUF+H/An/X7YPaToO1OsE+i6Dr7+7KA\nsbXycSghlW69leWvfZ0jX/nqqEMZO9xmGZigC2kEJt5Ual0emNwpRsDEBt+trAQCJszAtBEwdg9S\nByfB9KYFM4W2VmPmMd2Xj6B9K3WrDEyshBTZReO5LrXDhzs28Fomjj6a6r67m07Rbtj5k6/PwNh2\naTcQMH4GposTWSqbJZXPB5OO62JpsAspEDADLOcYAVO/n2vYJaRmG6m9Wg2q1ZF4YMIMjF9CGgMB\nEzwvM5lA9PXCQBrltdYrAEqpWeASjJj5EPDnQMdpAKXURcCb213PlpAyW7ZQ2bMneKOvLYsHBiIZ\nmDGYAxN0RI2BmBo3bKnIS5ZES8P3wNi/U3p+fl0emDADY2L2KhW8UiksIU3aDEzrt4NwLHz7N7vM\nwiYqu82MiZnzHtP2+o3InnQSpNNNBYxbKcdiiZp4o/tlwgzMihEMtdq6BExx1y5qhw4FnVdRbMYu\nNvF20gqYSKo+auIFitdfDxMTXY/Ub7TxO4wlvmIBBl9CAvO8iE5fH5WACT0w8ddEOC15lB4YW0Ly\nPTAjLSHZ2URz/7+9N4+S5KqvhG9E5L7U3pta3erWFtpYxSIEWmxhsISRwGaAYRkWYzhgs9rHLIYP\necyxYM6MP2M8xt/MORxsYzEYMKuFBwGyjYUMMiBAlhRaW2qpW91de2XlHhHfH2+JF5ERmRFVmfEy\nq989R0fVWVmZr6Ii4924v/u7v6Hk4oxKgYFpmgcA3Abgb0CyY84D8GkA/wfARaZp/umg17As60bL\nsjTxPwCHg89jpRH2IWeR5eIcCLt+ehIY13W9O/iI5NQ0wVWGMVgLQO5GW4+Mx3B1nvcSocAEx2SM\ndC2MwMzOkoRROhLAqdcBw/C+DqB74gS0fJ4HsbGbCa6ksHybbJaoOwM8MOzuOp4CQy6O+vQ0CgM6\nm6Kg53LIHTyI9kMPhX7fbXd8mR7Mc6JXq9DocWH/BkgZu/a92wAABdNMtBZ2DKOMvE4gk0ZcT5hZ\n0l5fR/vIEbTuuReVyy9PTCyM2dmBJSTfWqamoFcqyB44M9H7JIFeKsHd7PVojYuJ1+sUk9mFREtI\nK6uApg3Fe7JVBFv7t4uRKDCmae4B8G0Av2NZ1nfpwxfT7x0C8H8syxpaKckrIRECw41ztP6s5fOp\nhoCNFTodgErQwTt7GeAqw5gYio/feCM2//lfcP6/3SHlIiOCeRp6PDCt9IPsGGky5maBh4l6Z1TK\ncOp1ZObm0D11KvRv2Dl5Apndu6ELCgTgGZCNMvXAaBpp+R2owFACE2NDYgSm8vzLfWQiKYz5ObSP\nHAltpXbbbT5GABA8J4FNQRwnsPKFLwC6jplX/EaidfAsmGPHQ1vNuQfG14VE1iP6bfhk4rU1rH/r\nWwCAqeuuTbQWgGw+brMJp9HoSf11IhSYc279NlcCRgG9VILTaMB1HGi6nkixG+o6IggMu5k2ZEx/\nDpaQ1laJkXwbn41tr4kqg8MiUaNSYD4EYBbAR0zT/Cf638hs4aw0YlAFxgkoMJm9e8j8D2Gw3OkC\nXzvsGJRtuAIzBmsBgO6pU3Dq9dDugbTBRz70KDDUw9RohM5aGQXYGthGyDqRnHqd3EUZRo8Hxu12\nYS8uIbNnN08SZqoRM9aLd/1aodBD1nrWwe6oEygw5S36Xxj0QhFwXX73LKLHxJvNAtlsz2RdNtCx\n/sN/Q/PnP0flqqu4ohIXGSGNNwxh5QmdDnT0dSFVq4CmUQLzj9CyWVR++ZcTrUV8zdAyUogHBqAD\nJUcY6a+VS+RvRc9F6QpMQJXkoYFDaBlOimAJqbuyKmUdIjJcJR0OgRmVB+bdAN4d8b0jAC4b5vu5\ngRJS0AOT3bsPnUcfIxffEd4NjCNcX56H/LINq9uPS6ieSA4gsTYMQBj54N84fX/Dzc2hya/94Lba\ngGF4SoqwQejlMvRisedv2F1cBFwX2d17iEFP07xMJl5C8u5Eh63ATN9wA5yNDUy9+EUxf8twMHXB\naTS4wgJQQ6Zt92zSu9/zHmT37/c9xhSYta9+DQAw++pXJV5Hdh8rIUUQGFaeEBUhupGKfhtN12FM\nTaF1331wNjdRueaaLV0HxU6kIBkLU2DSgJgFo5fL/Bo3qGtt6OuIUmBox5eewmc2CK1UAjIZOGvr\ncF0X9uoqcoHzNG144y2GYyROdzzmiMDaOTML/i4kZ6MGGIZHbOhMiNMJji/PQ77qwcPaIgYBpg2u\neozBetyIdncnBoFxXRdupzO0mStuswktn/dt5ryluVSiBMZ/zFgGTGbPHlIiKpd52Yun8AYUGCfC\nU8GQRIEpmOdj3x/915i/YTRYGaYnUDCk6wcA5n/zzT2vwTwwbqeD7P79KL8guamYlZC6ER4YPpdJ\nMPHOvvI/QS/kUbr0Uv96Zqa5wXnq2uTlI8DzL4RNpA5ro04DwTA7GZOogT4ERmLnj0b9LvbGBllX\ntyu1Awkg5v65N7wB1W3eZDCMzMSbJtimyDwwTLa2N9ZhVKvedNiIMkF3eZmP+B4GXNvG0be/Ayt/\nJ39klC8SfgzKNu6YlZA8U7F8RYiVbXoUGOFY2RGt1Ovf/AdYlz6LT3rd/lpa0PN538A8r6W5BK1U\n7PHAsBZqNmRRr1SiTbxgCkzMNuoUSwKskyfYtRdFYMIg3ijNvPKVW/IdGHNz0PL5yHECTrvXIJrd\nvx8Lb397z/uxO14tn0eVTgNPioyQdhxEkmMzTLC8F0Zc2I3RMFp0k0DL54naseEPqd9KaOAwYVSr\nsNfXx6KFGiBq4J4PfgClZz5zKK+3IwgMLyHNzwMQFJj1DeKE7xPzDADHPvABPPLKV/V4ZLqnTqHT\nZ5x9FOzlZdRuuw3r3/hm4p8dNnxThcdgk3bHbC4T79DaTK7ANP7jP4bawRQ18sGnwEQYeZv33AN0\nOmjdf/+Q1tKEVih44ZD1Ot8ciAJT6i0h0RZqNgFar5QFE2+vmZF4YJo8bj8MSRSYYYFn1DQiWmJj\nbNJ8aF02i5nf+PUtrUPTNGT37YvsQgoz8UaBbaCVq67a8rHkHpgQ1WzsFJi0CYymkRyiQFKxwwmM\nHOKgT0/DWVvzxghILpMPGzuCwLASkj415es4sms1GJVK30mhruOg8eOfkD+yMDsJAB5/17vx2Bvf\nlHw99MLeL0UzLbgRM21kwRmzydjeepITmKNvfRuO/8GHh7YWTqZa0QpM1EBH5vdid3zbhdOmCgw1\nhbqNBt8cNF5CavjIh1hCAkjHETNHs8+kuHnqhQLgOHzzC12HBAWGpetGl5AGb9KZuTlkdu3CzMtf\nHprhEhfZM/bBXl4O/bwkUoQogdlK9xF/jZnoeUjBKd1pYVwIDABkZuf4zCsGz8Qrh8AYU1NwOx1+\nIy5bgRk2doYHhl5o9Hyey9ZupwO3Xh+owHSOHvWSewNx3+1HHoG9ukqjoON/MDmBOXECrm1LbVtz\nx6wLiZdHOh24nU7qd2y969maB8Z1HNhLS+gM8YLNjJCwbd+xCXpgQn92gyodAzwlceE2W9Dm5v0e\nGFGBKZXIOtttrgCwMQKMwOiVCtDpwGm3Q028WkHwmkQcRzkKTHgJyUlAGLRcDud+77tAgmnYYfCG\nOj6J/Nn+CKwkGSPTL3sZNMNA5Zd+actr6deF5HYkm3ipguq1Uac7SgAgx6d1//2+z+5WBmcOdU00\nEbrz2FG6jp1FYHaEAuM2GkA2Cy2bJcbBzU1Psq5W+xKY5j338K/t5WXvNW2b382yO8tE6wGAbhfd\nU6cS/eywMW4lJGeMPDmu4/C72KTHhj3fXl7uWwJJ9JrN3mPj2jZvUQUQOU7A2fDPOxnGWrRCHnqJ\nlZCCBMYrLTF0TpwE4I304J+7Wk0w8fq7kIBeoiAiySiBYUEvhqcEM5Uh7s2Mls1u++bFC7PrVXPd\ndptc92KQpMoLno8zPvFx3+TqpPAGOoZ5YMZMgUm5CwmgmUnwm5xle2B0mrfCPJ6qhDSGcJpNLxGT\n1t2ZmUqvVvtOCm3ecy//uufEoxtTN6EPRpR7RQOe2+3iyf/6R6j/9KeJXm87GFsFBl7pTxZ8xyah\nAsP+xm6rNTRiKJI7RmaCZYwoE689RAXGpQqQni94G0Sj7lNDmDdG/N27J0/CmJnxIuSZeb5WCyUi\nXIFp9SEwEkoCWsFTnUR4cfnpbdKslTqsEympMrxdeG3UY9SFFMhf8YY5yigh9Zqc7bU1GkeQfpAd\nABg0jZeZ+5UCM4YQ8xqMcoUEkzHmm0SBEQmMoMYkNfL6CYx359T4+S+wcvPNWP3SlxK93nbgU2Ca\nzcjBcGlBJA2D5uCMGuKxSUqmxL9x1HyYpPCRO+bNof9nORJRJt7gxNltrYOVJgp5n4nXCZh4Af9x\n6J44wctHgNdxRAhMzfcYMP4KTA+B6aTfacPTVEOIazBUb9ToN9BRWhdSeTzaqAHAmCXZO/aKt3fY\nq6swpqeHMvdnS2uiJaT2Y1SBUQRm/OA2Gjy7gV3oGOnQp6IJjOu6aN7rKTAic+5uh8AIm6Eo/baP\nHCHfTzUSPtoQKgPOGJmK+ykwK1/8Ihb/8v+L/Fnx+d3lIREYH7nzKzC8wy5SgaFx4RHTgpOAk6ag\niZcbasueT4Se6w79vjggkHUc2bWaV9LdigKjaZxIpQGuLsXMgRnpWgrhmTQAOV/SHhKoz0zzcDbf\nWqR3IVGzODtfhADCtBDmEbLX1qSVjwCvhNQ9vjNNvDuCwDjNJs9uYFIdk1z9Ckxv8Ja9vIwMDYzy\nnXgimTmejMCIyoKowLRpy20wK2CUYMm3fACfbN/JNlSPYcO3lgCZWv7sX2Hx05+O/FmRwIRJ6luB\nf+xDy/f/DE1WDe2kc11+ToVtLknBFZh8we+B2QzxwNDuLd6mOSdE2Je9/CVnk24sgrQfT4Gp0gkB\nTQAAIABJREFUQy+VUr2DHUYOzNDWEmEoZutJW/EwKtXQGzB5OTC9Ckza5wtDhnlg6M2v67qEwEgk\nDayExOwQ4pTynYCdQWCE4WJcgaGkQ69O+cyEIpj/pfL85wMIEhhBgUlo4hU35q7ggWEKTKpThekG\nyO4CZJMGv88j+VqGWQLzEYbAtHKnViP+FtYZFPxZkcAMoYQkTg0HvGPD1Ak+5yvk3HFbLX4H3B1G\nCYmuQyvkI7uQgh4YpkKJXXze524TTq0GvVLxbSzxFJjN9OfaDCEHZmhrKYQbigHydxdTeFNZD+vy\nDBjX5SswjMCkf74wsPEN7ObXqdUA25aqwLASEkBvPCQPrB02Jp7AuJ0O0O16JaQKKyFRBaZPCal5\nL/G/lC+/HADQFUiLWEKKivKOQpQHpn2EKTDpERg+VZjeBcj2nbDwLSB5CWnzRz/CfZc8BY2f/3w4\na+nTocUD2CLalt1he2A6HX6XBKBn6CUrIYV5IURFz15d23ZXlFdCijLx9npgwoKyvARsYuIN+lhi\nKzAp+l8AIQcmUoFJb5PWItQgAHA6HWi5lEtI1QrgOD2jQNw2mZ2VdmQEOz/dgAIjA7yERPcO2R1I\nAKBPee+908pHwA4gMDwDhn7QDV5CYgpM9CgBpsAUn3kptHze7x5nvgZNS67ACHduLEXTtW206SyS\nKB/DKMAUD3by9tss0oC/bJNsLc27/wNwHDSG1MUlzokSy4uu4wjztMLLfcP2wPSE17GxApTwGTMz\ngK6Hyve2uMZOZ0upwv73ZiWkPLSiMErAZ+L1e2CYYsmMjEDAxFur+Qy8AFF4yPv198BIU2CCichS\nSkhsLeEKTOolpDLzNQX8hJIyndi5wW403M06mVAtAV5S8Qr9v9wQO8AzgQM7r4Ua2AkEhqXwBktI\nLHmwWiUf8kwmVIExFhaQ3bMbxuxsoIREvs6ddRbspSUvZCwG2N15ZtcuOLUa7PV1dI4f53dwUa2w\nowAz8bKTN6kCs/aNb2LlC8Ob6eQ38SbbaFnabOfJZIQyCr45UYKi4isPRRKY4SowPeMDmImXrlEv\nFnjGUc9agvNXtllG8m4K8l4myoAcGE+B8S7WPhPv5ibf/Bj6+TsAmtNTT1+B0bmJN7yNOk0ZnpfZ\ngmpQt0smY6dt4hVUNd96JPhxAMFwvVknXrBGQ5oCk2HDLukNDfOjyQqxA/wzuZQCM4ZgFxmvC4kq\nMCdJqJZenfIm4woX/+7KCrrHjqNw0YUAEEJgyB1l/sILyPMTqDDsgpw75xwARIVpP3LEW3O93jN3\naVRgJl72IUpatjlx00148sYbhzYksF/ZZhCcNUZgkpX0Il/PZyj2SIuokEWV+4bdRs2JHfWIuAET\nr5Yv+IYjirDXh0tgRBOvZhhkPIfogSmXfaUlwMtQYmZjwNvs7JVVMsU6QETY5hulwPCbk7Tn2gTU\nJQYZYW2c5G1jrMFQ11OlBCZAmmUpMJquQyuVyKyuZhNwXV7eTH0tuRz0atUrIdHPoS6zhKQIzHgj\nWELiF0lq9mQmJr1c8hGYFm2fLlx4EQAgMztDuiXohaG7vAK9VELurLMAIHKgWuia6OaWP/ts8rNP\nHOMdSCxaPK0ykmfiTV5C6i4vkw+j62L5s58dznraogKTrITEZlV1h6bAhLd0i+dJ1Owh0fQreqe2\nuxbW9ugETLxaIQ9DGI7oW0uNbCYGm8Y+RAUGAJ97xH5nvVjsMfGykqsRYuJlQZDBMK9BCoyMDBhA\n8OaMQxs1I3lBj5bQ6p4mRFVNhCwFBiAEN1jilAXxRngcPDCaYXASowjMGMI7af1t1Azs4mcEFBgW\nYFe4iBAYL4SIXPzt5WUYc3PI7t0LIKkCQ9aUO4cSmOPHeAdSnqoyaRGY7Zh4Ww88yL9e/fuv+JKK\nt76eIZSQTiSfEB6GOApMVAnJb+IdQvYK+zvRi50bMPHqhQJ0OhwxaNJlCkzuwEHy71V/nlHt9tsT\nGXuDU471UomYeDfr0HI5MrKDe2MCJt4QBYZ5yIKfTfb6Yf4O8tqMwKSswESQBikEhmbg9JIp1vWT\ndnAcS1ceDw8MMF4EJjM7i+7qKilnrcn3wABeGUl5YMYQXssnTeIVkz4rFe6K10tl2MIm1bz3PgDw\nlZAAUjpyXRf2ygqMuTlkKIHpJMiCcelFPX/OueRnjx3jHUiFSy4h75OWAsNMvLNMgUlAYB58AABQ\neNpT4TabWLn55m2vx202AXqh22oJqXvi5FBKcCKZErsq7DglJPZ8TRuOB6YVaHdnJl5WQsrlCRnv\ndn3KEeApMLkDZ5L1C1kwi3/+P3H0N9+Cjf/7fxOshX6m8uQzpZWKcDfrvhZVLweGtlGvLAOaBmPK\nMw1yBYYRmGAXEvea+H8f/ntJGsyn6XoEaUh/lABAyGuQ5LHScOoeGLoZsnPOW0879XIWwzgRGGN2\nlhjpazVvkOO0XALDSliyidQoMPEEhsnPPSUkkBRe/nW5zCfjAiRUTsvnkd2/H4Aw52NlBc7mJtxO\nB8bsjKfAJEjjdZpNQNeRO0TKT93jx9E6cgSZPXuQ2b2bPCeCwHSOHcORV/9nNH72s9jv1w/cxLuF\nLqTWg0SB2fP7vw99ehorf3vztoLw2Iwdz4+TsITE1BDbRndxacvr4OtpRSkwQgmp1t/Em9m9G/bq\n6rbzadwoBabllXOiuumYApMNUWAYcT7xxzf1dI5EobeEVOIeGE5gePmHmXhXYczM+Npo9VwOWi7H\nCV5PF9KYKjBABGmQMEoAIP6+6JbutHNgwjO1iAIjuYTEk6IlEhiWBbO8LHQhySshAeA3FYrAjCFY\nSSSshGRUAgQG5OLvui7aR48ie+BMPslVjIFmJqzMrFdCSjJOgAXrZXbtAjIZtB5+BN1jx5E7fDjy\nAsCw+uW/R+Ouu4Y2L8lttYjkz/ISghflPqWF9gMPArqOwsUXY/bVr4a9vIy1r35t62uhF93MTK8a\n5DoOVr74xb7+DXt9jX/dHUIZibdR6zrcToeHcflLSP1NvNn9+wHH4fXuLa8loMC4QQUmX4g8d5ih\nkiswq95aOk+QHKLuyZNY/NSnYq1FfE+AkBW33YazUeNkotcDsxwqUfs+j4kVGDkeGICShh4TryTS\nUAhRg7jROu0k3j4eGIklJDiOR5QltVEDXhqvvbLieWBkl5AYgdlhKbzADiAwbCPR4igwIBdFe3UV\nzsYG9wwAXoJoVyAwxtwc9OlpaIVCIgXGrdehFYvQDAPZvXvRuo+Uq3KHzuL1yKiNceO73wVAQtuG\nAYfOSwkzTJ74+Cfw0K+8KDRt1nVdtB58ENkDZ0IvFDD72tdAy2ax/Nd/veWgNO7zmJmla/FUj/qd\n/44nP/L/YPlv/zb654Vum6TzqcLAyJwRIFSicTeKaDLFJnsGmRa8XR9MTwmpEWijLuQjNw+mTAUV\nGNdx0Dl+HPnzzkP24EEsf+5zaNJzse9a2v7NkZ87Gxt8FICXgNqAa9skMn0AgenxpxWiM04A79jr\n5fQn+YaRBkdW50+hEOnHSTtZVac3hWJp1aFJ0EYlfaIJCKXKU4vk37JLSCBNIPbqKplELYGAi9Cn\nlQIztuAlpMAwRwAwqr31eGdzEx3aEpw76BEYQxiF3hUyLTRNQ3bv3i0pMACQ3bePP547dEgwwfVu\njO3HH+dkp/PoY0PapJvQCgVfJDxD42c/Q+fxx9ESWrwZ7MVF2KuryJ97Hvk9du9G9VdeiPbDD6N5\n991bW0srkEkjkCl7iVx8OkcfD/1Zp9XyeT+SEMoo8A6tOUaoqJogemCiSkgNMtsnu48odNudh+SR\nO78Cw9uoCwVfNL/vZ2l3lqfAUCP60hLcdhu5w4ex9yMfAWwbT974hwMJKHtPRjDEO1q2OWi5HAnW\nazRId5jj8LtPEb4bigAR8QYVhiswYem+aUHv44FJmzRohQKcZtP3d3OY0TrtJF6mAgokX3ZgGzsn\nu0vjQGBYM8gKH+QoaxI1w+wrX4nZ178ehQsukLqOUWDiCQwvIdENWjMM7y6xKtz9CQSm/dhRAED2\n4AH+fX7iLS/zllCWaZHZuxf28nJPWmoUnGbTIzD0Dh0A8r4SUu/GuPGd7wAAcueSTqX6nXfGer++\na2m1oOfzwmbRm1/SeuCBnp9j/pf8uefyx6auvx4AsPa1r29pLcznoVcrfPPja1lnGS/hxIRt0mzw\n5jDC7BhJyDBFiJpGRYIQWUKiKpsxRyP+t2nk5Ym7TIGhm7pnqM37hiOKsGs1QNdhLCwQzwklMJ0n\nngBAzsHKFS9A+QUvQOOuuwaOxuDGeGbiFSZBs8+Rpmlkk6/XPaIx00s0DB+BiRglEKHAcBOkBOmb\n+E4aPtIgIwcGoMfJcXiJk6xFTjkrTAVkpnFZeSecwCwSApPm5PIgPC/lsvRBjgzFpz4Ve//gQ6mP\neUgDE09gmJmSlZAA747Rp8AIBsj20TAFhp54qys9sehJW6lFBYZtuABRYHgJKUSBqX3nu4CmYffv\n/R4AoD6EMlKvAiOoHnSDCCUwD/QSmMrznw9jbg7rt9ziu5jGBbtr1PMFYpIUCQzrMIrYXBnBKZx3\nPnneUBUYOum5wQiM2IUU0UZdpz6nwATarYKXiriJ16/A6IVCZAqqs74OvVqFpmkwZmY8AkPncDES\nnaOEPSzN1/d6bC28hNSrwACkO8lp1ENbqPnzfSWkgIk3mwUMI1KB4eF4MhSYQhFwXZ/qJ4s0BP1G\nZC2Su5DEEpLkvBM+TmBRvgLDbnq7y54CozA6TD6BafpLSIA3r8PvgaE1+1oNHarA5A54CgyPgV5Z\n8Sbr0s0ps3cPgHi+C7fTATodftHhCkw2i+z+/d4mFLiz7y4vo/6Tn6D49KejcsUV0CuVofhgXKrA\neIPzaEAa9S0Antoigisw53kERstmMXXddbBptkjytXgt71qp5M9SoQbdzpNPhpY4GIHJnXMOYBiR\nf4v2kSM4+clPxmqz5p0/rKRVDyEwUUF2NLJcLD1uB5xMTbE26pZvjVoh2sRr12r8zjiUwJxJOu24\nb2UAgeE5MAXPxMsgbg56qQS33uDkLUwp8Zvqe70sOi2PhIEdUxl3sd5EapE0yDLx9gbryUri1fJ5\nMpZFOAfZBHRpJSR6bfc8MPI8J+x60Dl6VPok6tMBE09g+CiBgkdgeHhdRBdS++hRQNd95R0tl4Ne\nqcBeWe2pvSdppWYXPM8DQ+9+DxyAlsl4JrjAJlS77TbAcVB94TXQDAOlZz1rKD4YZuJlZTXeNbK+\nDjb9OLKEpOvIHT7se3z6BlJGWv968jKSf8ZO0Z9+SwmK22qFdiKx7xszM8js2hX5t1j5/Oex9Om/\njDWxmmfkBD0wlLQYc3N9S0h6sejrXtsOeHmtVAIyGf53YsnFej7axOusr/MEX2NmBs7GBtxut0eB\n0bjxtn+AoFi2AoIeGKEkRNur7ZAxAvw5legSEkA+t8E5UAxeaUpCCYlNpA4lDem3UQN+BUZWEq+m\naTQUNEyBkeyBOXXK928ZYCpk65GHyb/HoIS0kzHxBCZsXgq764vqQuo89hiy+/b1XIhYDLTYhQTA\nC7OL4bvwTMWUwOynBIYSAebUD25CG98h3UfVa64BAJSe8xwA2/PBuJ0OGfhWyBO5Xtc5iRAVg87R\no75NjXUg5Q4e7LlAFi65BLnDh7Hx3e9FptRGrkeYsRNVQgLCy0hMgTGmppDdswedkydDs1dYPkyc\npGNWumAlCqcueGA0jQzjDPkdxaFxnMBst4TEiEqBqGWeAtPfxOvaNpzNTZ8CA5AY87bggQHEzqH+\nBKbHxBulwFASGjZGgD9H9MAkVWBWV0lpTMaU45CSq8w2aiCgwATSklNdT7XqyxSSHZkf9MDIbKPW\ny2Ugm0XnUWJTUArMaDH5BEaIWmdgF0rRA8PMhN3FJXRPnfIZePlzKIHprqwA2Sx/HU+BGTwPyaU+\nCo3m0uQOHcLu3/tdLLz97b61+csUm9i8/XbkzzsXuUOHAAgEhpaR7Nom1m+5JdFUbO8urUBMl0I4\nl69rxnXReuhh/s/uyVNw1td95SMGTdMwff1L4bZa2Pj2rbHXAvizK7RSMVBC8ghMmOrkEZgqIZTd\nLuyl3jC77jIlMAPKJABVYLJZzxxLybBTq0GvVGBUqyQ3KFCOcjsdoNuFXipy42p3211IHlERVQm3\n2YSWzULT9dAgO95qzBQYesG0V1fRPXaM/B70e3EJjGfiJZuj1ofAwLbRPUmIfaiJt9JrpBcxSIGR\nFX/ulZAEYt9uA5kMz45Kfy1COYt9liSEx+mVio/Y27JLSExdZtc7iQqMpmnIzM5yj6DsELudjokn\nMG4j2sQb1oXUtGgmy8Gzel4rMzsLt91G5/HHkZmd5e1v2UQKDCsh0XZTTcP8W96C4iUXk39nMiSm\nXLgANH7xC7jtNipXXcUfK1x4AffBtB5+BEde9So88b7fxfo/3DJwDQzBMQtascjDudhFhw2rFMtI\nbIRA7txeAgMAUy8lZaTVL385USaMz5BaLJHwuG6XrEcIqQsbnMlKSPrUdN9wQXuJKCFxCIzbpP4g\nFovPFJjNTeiVimdYDGz4zCujlUrQyyWaNrvdHBih2yif5+TTabU8L0oI+WUlrh4FZnUVnSeO8aRp\nwCv/DFRg2i1A07jS0M/EC3hheeFt1PQzmMmEqgVRCgwf5yFpUwwrITkdOQMLeQehOHxUmAyeNvQK\nmSvHFFDZibNagLDIJDCA38yuSkijxcQTGI8wCCZeqrwwQyTgfdBb9zICE67AAL2poizMrhNDgeHr\nERShnvepVLjPAiApqYAXRAbA54M58opXoP3QQwCQKIPFDdTJxWwL5i9gSo9IYNohLdQicmfuR/mq\nK9H4yU9Qv+OOBOvx2nODpmJHLCGFKjB04vL0lFDS630eM5TGKyHRDi2mTAhdSEalzAlwsIwkklRN\n03wTaLcKTu5oy7tPgeFelN4MDmeDETt/WFX7yKNw6nWfz8sz8Q5SYKhvihJ4RvDIGkQFhnzdOUZK\nVf2C7IxyOTQPg/2uQSLs1ut8nIcMeKqHv4SkyyhnFXoznNg5EOzsSgNGpQq4rjfIU3LibJCw6BLb\nqAG/mV2VkEaLyScwzSaZkCv0uM++9jVYeNc7Ubj4Iv6Yl9ZIjF7ZA9EEBvCMnQCVBefnea2/73q4\nJyf6Q0QkWIHA0DVldi34nsfIhes42PexPwJ0PVaSKl9Ly99qqRe9RE+mwJSe/SwAQQWGEZjzIl97\n17veBQA4+aefjK3C+Ey8gWGANm0FBsIHZzKFxqhWkaVdYd2AIuYKceJ2rBISzcgpegqM67qwNzeh\nlyueaTZg5OV3v/TnjNnZ7XtgWoLXJaDAMALKyqC+DA5KroyqX4Fh09ZDCUwME6/offKVjURPC/39\n208c8xFBEWyDjVIK9EKBtCsHSqNdqmhlQspSacAbcyB2IXXkKDDMxCuoQTZPKZahwDAlkJx7vIQk\nDPJMdT2CsVzLZqWNNGDIzAoT2RWBGSkmnsC4jUZPcFH+7LOx6x3v8NWqgx90MQOGQSQw4knIfn7Q\nhR8QuqL63AXo1aq/DZG2/2UW/ARm5hW/gbk3vhGHPn8zZl7xCuTOPozWfffFHhzolZCol6HQq8Bk\nDxxAZt8+TmBc10XjF3cDhoHc4UORr128+GJUX/xiNH/+c9JBFWc9gvFQzLZwbRvOxgZRfDQtVOli\nYwT06Wlk9rBcHj/RsdfWAOpXiVdCakIrFvgF0K03yEba6ZASUiV88m7QOG7MzsDZ3Az1J9V/+lNO\nUPvBy16hCgwNUWMqEUDMo1ou51NQmDqkV/3zTjiBEUtI5fgmXrHc08/ECxC1JMqrwj53YQZeQEzj\n9ZeRZKbwAl4JyafANBq+bse0oIeshZ3fYa3pI19PoJ3fXluDXqlAy2RSXwsQOCcll4+AwI2wKiGN\nFBNPYMTQuH4IntjZM8MUGEH6C7SEsomnA2PYAx6YMBiVMhmORzc85p7P7Nrlf97UFPZ84P0oXHgh\nAKBwwYWki+rx8Lj9nrU0PRMvWVMRbqsF17Z9IWH5c89F98QJ2OvrqP/oTrTuuw+Vq64aGJm+613v\nBHQdp/70k7FIlc/nIcjibBM25uZoi3Sv14ibeCsVHt8fVGpEFSSeibdFQvUEDww3xVYqvIQU7Lbi\nCgz9uQyPD/f7YFoPP4xHX/NanPyT/3fgWrwBinlPleh0fAoMW5cTR4GxLABbVGAE0gQA2gAPDBAd\nNsc22CgCE5ZxAngmc2lliYCJ13Vd2KurcjNpBDWIdaJFHddRwgh4sWQnzoplTU1iBxKDqN7Lai0/\nXTD5BKbZ7Os3YdAyGX5RNubnQwePiRfhYO1dL5WAbndgAi2/Oy9GrymYBcPu0I35+b6vXbiQzLJo\n3huvjOQFx7FuEu9uV5xfkj+PlIpaDz6Ipf/1vwAAC2/9rYGvnz/nHEy/9KVo3X8/1m/51sDn+0y8\nQglJbJHO7NuLzokTPYTI3liHXipBy2aJUqXr6AQUmK7QlTTQ5yGoG54HpiEQmDJPTe6ZPdRgBIYp\nMCwLxl9GWvvq1wDX5TNa+q6n2SRGV+E8dZvNHjIRJDBcmar6PTDMaMza+MX1DjbxtgMlpOggO4ZI\nBYYRmIhSBzs3exQYPkZAlgLjV4ZkenL4WkQFRmoJyT+Q1l5dler1GG8FRpWQRomJJzBhJaQosItp\nLsT/AvhVl2Aol5gj0w9sc+tbQgrcwXQXF2FMTw9UPPJ0GFfLikdgeBs162IR8iTslRVA16FPTXEC\ns/aVr2Lz9ttRes5zUHz602O9x8I7fwfQNKz+3d8NfK6YAyOWkFgGjDE1hezefUCn09Mi7ax5YW2M\nxASVmiQKjNvpAK5LupAEDwzzFhjlijB406/A8C4kwQMD+MPsXMfBGg37i1N6FEmDTjd1p1YDHIf/\nG6AdIKICUwtXYBiGocBEl5AEAhMSYgd4JsaoDS4s4wQQS0iyFBh/2UZmqzBfi0+BqfGJ96mvRxhp\n4VCSPT4ERu7kZ0DYOzIZ6ZOodzrkFC2HBNd1fYMTB0Evl2AvArmzev0vgD/Hwgh6YMQOjj53hTxR\ntU8JidWQmfzfXVxEdveuyOczsGmisRUYVpbIsY3R6/xhcrim65zArH7xiwCA+be+NdbrA0DuzDNh\nzMzwMlg/iDN2xBISK8vp01Ng9rvOk0/6Smr2xgZvnwZIuGDz3nvhOg73OvkVmAEERozo55tV3SfN\nR5aQWJmQXiy9AW4egan/8Ie8myqed0rwutCSH9s02b8BwCiV0arX+e/do8AIRkqtUPARC4+oRR8b\nl87/0fIemY66wxU/d1FEI7OwgDP+2ydQuOQpod+PUmC6ElN4gV7SIDMuXw/xCZFWfzmbo+iBkd2B\nBNABvrSbbSwUGLqPjMMk6p2OiVZgWNJsnBIS4KkoYruyCL8Hxk9SPAPkAAUmRheSUfFKE06rBWdt\nDUbAwBuGzPw8Mrt2xe5E6ikhlQTVQ8jYyJ9zNkA/aIWLLkL5+ZfHen3++8zOhsb/96xHTJUteXe4\n3ANTJSUkwJ8F4zoOnI0NX7Jydu9eotQIqgvLgAFiKGVCR5SWywHZLPHAbHrSvBEyuA4Qy4TUA8MG\nuAkEZu2rX/PWP6CcBRByxxQY9vdim4NW8HtgyBrIa9q0jZopMFomw5Wq7Bln+C6gWi4Hjf6eUXBb\nft8UeX9BjfGRmcEeGACYvv565M8+HPq9MIMq4JFBGYMcASEHhrUKS5zLpBV7j5G9uclnvqUNPpB2\noyY9A4aBnZdjQWDmPAKjMFpMNoFpDO74EWHQO+awDBiA3r3Su/nghZOnPQ7yDwRmIYVBbEO0Iwy8\nUchfeAG6x4/7NsvItQQj4QtCqWRtjZc+9GKRJxPPv+1tie8a2ADBQUZen4lXUD14CWmalpDgz4Jx\najXAdX25Pt6ATa+MxFJ4gRgKjFDOAsAHE4oemKi5VUETr5cftMLfe/3WW5E980xkDxyIp8C02l67\nO/07MQIjkolg+ZGRK11QXtgmK5aP+M+XSn3PYbGdm0HTdfIZy2Z9bcSaT4EJLyENAiNnYnkEEMLR\nZCfxNseghFQIM/HWpBh4AQil1RrsNXJcZLcLcwIjOQMG8G5oVAfS6DHRBMabRB23hMQUmHACoxmG\nV7OP8MAMyhfhHpg+qhAPSKvVvAyYhXgEpnAB6Uhq0S6TfnBDcmAAoHPyJOA4vg/Y7Ktejeq1v4rq\nC6+JtQ4RxswMQFWSfnBoG7VeKHh3uI0Gz3jRp6ZCO4xEky9Ddg973jHveZRA6OVyghKSEPInemAq\nFa5q2ME26kgTL3n/9VtvhVuvY/qGG8haGv7NOWo9vITEFJjVMAUm0MK64XVnMfQjMFq51NfgLAbq\nidCLRRg9gWGDTbyDoPPE25bvce6BkTVfh5dt/LlJMhQh77NCDcXdLimXSPJXiCSaHxfJm/VYKTCz\ns8iffz5Klz5T9lJ2PCbaA+MFisUrIWXPOgi9VEL+7LMjn8PKIUH2HNsAyYY59vkgiQFpvIU6RgkJ\n8HcilS+7rO9zuedEGCUAeMMSxZLZ/JvfFOv9wyDG1/fbcMQZO74SEjOiTk0jQxUYMQuGKxFiCYkq\nRp3HjvLHustLgKYhu38/OnSQYRR6WsxLJdirq34PDLtQRwTZcRMvrXm3H30Um3fcgZXPfx4Amdy9\neccdvP2+n7IltkuzNTHi5lNgyn4C42zUyPwkQRlhcr6YAcN/vlSCvdg7Q4ohOImaIbN7N2B3A68l\nlJBCxgjEQaQCs7IibZAjIEzuHgsTr18NYuRclgIjEnv+2RwXBWYMCIxmGDj7618b/ESFbWMkBMY0\nzSyAzwA4BCAP4GMAHgPwKQA2gBaA/2JZ1uDhQn3g3UXHU2B2v/e9mH/zm/tustMvexk6R4/2uPu1\noZaQvNJEd5G8T+wSEutEuu/egc/tNfHS2TXHCDkY1t0kN7GurgJn9c6YYnBaTT5jJ6pNxg7DAAAg\nAElEQVSElFmYBzIZdAUFhntkhBISCyJsH32MP2YvkREQ+lQVzgP9SUPQH6QXi+gcP+7PgWFkIaAs\nuQ1/kF1mdgbQNGzefjs2b78dAFC89FIyzbtUAhyHGGMjVDm32wW63RAFhpl4PTLByS/dxOyNde5J\n4M/pW0Iqo1M/2vM4gxNQphgOfPovgECJ0G/iHbICs7oqrXwEoGfUxTiUkNh553CVULYCswlH8iRq\nBk5gxiAHRiE9jEqBeR2AJcuyXm+a5hyAuwA8AuCdlmXdZZrm2wC8H8D7tvMm7O4otom3WBxYborK\nP4mdocHKC30JDLuL3uAR6sExAlHIHTwIrVSK1YnktjyjKlkTLSExBWZIF2P2OoN8OeKMHX8JySsR\naYaBzO5dvjlHXpu1t1HnzjyT/C6PeQSmu7yM7O5dhHi4Ltx6HVqEzN7jDyqV4DYaXA3SyxVohgG9\nXPZF9wPoSeLVcjns+dCH0HroQWTmF5BZmEfl6qt9z3Hq9cjzVJzSLa6J+Qt8JSTqP2AbqrNR6/k7\nMjIc5vXSSyW47TbcTidU3WBpyaLqAwDZfft6X0skMBFt1IMQpsCwQY75iy7c0msOA4w0BkdvSPE1\nZLOAYXh+HKYSSjLxhpWQZPs9+ADfMVBgFNLDqAjMFwF8iX6tAegCeLVlWawukAHQO4I2ANM0bwTw\n0ajve16E0Ru34ubAuPUGCSTrI31zF3+tBjhkw4yrwGiGgcL556Nx9909Ka1BOE2/IZORBo/ADEmB\nEUpI/UDacymZEktI634ZOrt3Hxp33QW324WWyfQMLARol9CuBbRpCcltt0k31wUXeDODNjcjfQJ8\n5APdqFmHFhvrwO5ug2MfANHE610s517/utD3ETNmELHJO4HOH95GHWLiZfO9Nv/1dkxddx3sjY2e\nXKO5N7wB+XPOReGpT+1djxDaZ4QSmHAFJgx8CrCmbfkOPEyBcTZJaJysOUgANS4Lk7JtiW3dmqbR\nqd1UgdmUF2IHEH+Uls3626glJ87ymwlFYE4rjMTEa1lWzbKsDdM0qyBE5sOMvJimeTmA3wEwMF/d\nsqwbLcvSxP8A8H7MpCWk7SC+AjN4tIHorUjqgQFIJxK6XT50MQo9Jt4SIzDE+DqskDBWihpEYHw+\nD15CIkF2WqHAg/yye/cCjsMNzmLQnYjcgYPoHDsGt932hv/Nz8Uim54Cw44N+fuyyeA8QbZS7jON\nOsYIC9Z+38c422sopuWLEBNv8RnPQGbvXmzceitZV6fDh2AyZHfvxsyvvzy0fDboPI4y8Yb+bszE\nPD295UA1PUSBkT1GgIFMb/cUGLF7Lm1oxSL318n2wLD3tmtCG7WkwEEGbYw8MArpYWRdSKZpHgBw\nG4C/sSzrZvrYqwD8JYCXWJY1eMLdAPASUkwT73bAQssGRdTHCdbzeWBOnSKekASTXPOHiQlZLJ+E\nriVg4uWlCaYyDFuBWRmgwPg6bbxZM/b6uo+cZAKdSLzTJkhgDh4EHAedY8d4jL8xNx/rb+WZVdmc\nKEpgKGliJMioVGHXar4ZWE69Tqbexhhex9vvG3E6f5gC48+B0QMtzVPXXgunVsP6LbeQNU75CUyc\n9UQRmOBx6QctlwN0fVteFS1EgeGZKxI9MAAZveEKJl7Znhxu4hVa/aWth4604CWkavxzcCTr4W3U\nisCcThgJgTFNcw+AbwN4v2VZn6GPvQ5EebnasqyHh/E+cfwmw0LsSb6N+mACUyoCmga7RhSYzMJC\nouwV1mUSTIgNQhwQCPQqVcO6a4pbQvIpMHxjbxICMy20SPMsGFLqclg3TtVPYFgnUvvoUZ7Ca8zN\n9nTqhK6lGfAHlTwCoxWLnJzo1Spg29wLQdZcj32np8VQ7tx2QCljRDMkiRcApl7yEgDAyhfI+AZG\niOPAlygdthaeAxOjhKRpqFx1FSpXXRX7/XvWEzKokCswkgmMXij6TLxSBxYWC54fR2j1l7aeaoWX\nkPRqVdokagZm8BevIwo7H6M66z4EYBbAR0zT/AgAA8AlAB4F8PemaQLAP1uWFelviQN2d5ROCSm+\nB0YbkOmi6Tq5g9nYQHdxEYWEZkWdJ8QOyl1h0f3+EhLDsE28STww7O7dqdfhrK9DP/dc/jzW/tt6\n5BHyujQuP3hxyh0kHU/tRx/j38vMzfO/Ud/I/IA/iJFOt9PxpYp6LaM1Qb1oxK61xyk9ugEy1eOB\nCZCJwsUXIXvWQbTuJZ1ow1RggmrQIBz49F/Efu8weEMTRQVmTEpIhQI6zSbxV21uyo3LLxQFBYaZ\neOUpMEa5gtbmJrory9L/TgAw84rfgF6toHTppbKXopAiRkJgLMt6N4B3j+K1RbCAsXRMvDE2Itcl\nHpgYXVF6pUKySjqd2AZeBi/KO6YCEyghkX/oPSWZrYIZOPsRGG/6M92kqTGxe+oUTdn11lJ8xtMB\nTUP9334I/PZv86C73hISzYI5+hjcLlFtjHnPKNvXAxPIOxHPITGiXUwdxe7d5Ot6PXbXTRwCw83W\nrJzF5gPRDrWgAqNpGqauuw5Ln/5L8vwkCsyAkRhROTCjgpcyK8TkSx7kyEB8Jw2pc5AYdDrrx3Wc\nsfHAAKQcnb3kEmnrYMjMz2PuNa+RvQyFlDHRSbzNe+4BAOSFu/dRwddNEgG30wEcJ1ZJy6hU+IUo\niYEX8EopbJBf5HpaLRL/Tg2Wvuj3bRgvg9CyWejVqm+YYc9a2r3tuVqphO4JEgXk88DMzqJw0UWo\n33UXVWg2SGdX4LjyLJhHH+NzkDLz87FMvG5IGzWDeGcbpnbFMWrzny8mLyEFFcWgAgMA09dd531/\nFApMjBLSMOApMB6B6UpMvRWhF4uA66J7ghi7Zc770WipzW21PA+MpDZqADxNHJCfAaNw+mJiCYzr\numjc9TNk9uwJzagYNjTDgFYs9t8UWUJrDEVIvHuKO0aAgZUMBikwwTZrUYEZ9t0km4cUBXH6M19P\nsUhIHwA9UB4qX3450Omg/u//zk2+QZ+QMTMDfWqKeGDoHKTMXLwuJK9d2J9SDPj/NryERNN4Xdsm\nMe4JJqCTtfRTYAJ+nAB5CAvAy593Hp8insRAOdjE61eDRg12foYrMLIJDM1NepIlV8s08bLp2E2v\njVqiiTdsdIWCQtqYWALTPXES9uIiik97WmrvqZdK/UsBvL12sD/CR2ASlpA8BWa97/PcZtNXChhG\ncmoU2AgGsVtHhJd14kXe+whVNUhgngcA2PzBHYTARGzSuYMH0Tl6lMfjGzEVmN4gO0F1Ef42XscY\nIYtOjFERIsTclSgESUOQsESVc6Zf/nIAQHb/mbHWAgxOlHYC4YejhpbNApmMT4GROflZBFPC2OgN\nmfN+WOnVbTS4iVemB0ZUf5QCoyALE0tgWPmo+PSnp/aesQlMDA+MURUJTMISUrkE6HpPQmzPelpN\nf54HTfQERqHATJOE14iNOuzOXlSqggbd4jOfCS2fx+YPfkBMvhEXydzBA3DbbTTvvZeUssQRAH1L\nSIE2anEtFbGE5J/+zNqh46hs5HXjeGACCkxwkGLE+TT3xjfg8Fe/gtIznxFrLXHWE+xcSwNiizAg\nf5AjAzvurJ1frgeGKTAtfl7L7ULybihkltYUTm8oApMAsQlMnBJSWSwhJSMwmqaRhNiBCox//g4z\nzgLDN0h6WTDhPphgWBvgV6qCOTh6Po/SpZeidf/9cNvtSAUmS30w3ZMnYczNkd+Rlm36TQ7nilCg\njRoI3F1W/CWksBTefvAIQ79yFjPrMg9MPAVG03UU6GysuGApxcPIgRkWNGpQZbBXV6FPTUkb5MjA\ngx9ZCUlyGzVAEqSd2iag6z2esFTXI5B82UqZwumLySYw2SyPVk8DerkMZ3MzskzC1Ic4FxbxDiZp\nCQkgvoeBXUitVk+eB1MOhm2Q5POQInwwYe25vhLSVO9dHCsjAdH5DrkDB73n0A6kRApMoI0aiCgh\nbbASUvwyIRCzjTrQ+aMZhm/zjpOKGxfagByYILFLA2EKjOwOJEAoIR2TT2A00QNTq0GvVBJlRw0b\nPg+MKiEpSMLEEpjWQw+hcNGFQ724D4I4WTgMyTww3h1MZn4++VqmBiswxMTrv5NmUvSwL8aDxgkE\nO22AQNkmhKCUL7/ce241gsCc5RGYzBw5juziGqeNOhisBwQIDM+BoQQmoQKjxehe80pIgloW8fV2\nwfOMBpWQhvieg6AV8pxQuq6LruTQOIae4acyTbws8K/RgNNnxldq66mIJST5fyuF0xMTS2DQ7aZq\n4AVitKDW48/IMegFwJiZIaFuCWFUqnDqdbjdbuj33W4X6HZ7yg9eCWk0CkzUOIGgzwMItHWHZNLk\nL7iArzMqsyYrKDAZqsBoxSKg6wPmD7UAQenQxHKWKI+zNuoaC8eLXyYEPDUoyjTL14KAP0g8TkMk\n6YPyjHg+zhbOyS2vSQxp26yTbCSJgxwZGIlj4yXkKjBeu7lTq/l8WjLg+4woBUZBEiaXwAAopeh/\nAeIYIFkJKV6QHZDcwMt/fsqbpxSGqKF8jDSMoo0a6KPAhJh4dSHvRA8pIWm6jvLzLiOvH1FCyuze\nxS/uBlVgNE0jfqUBCoyvxbzsERjDV0JigzeZAkNDxGL6D1iXDSM+YfDUKaFDS5iLNMxSQVwTbxwj\n+rDAFBjXdcdmjAAgKKmuCxhGz9DMVNfCSkj1Bp2yLs/ACwQ+I4rAKEjCRBOYNA28wGBvRaISEi1N\nGAkNvAys7TjKBxPMOeHvywjMCNqogT4EJszEO6CEBADlK68EAGT27A39vqZpyB0gibwZIYWX+ZWi\nEDQ4R3lguImXlpC4zyluCYmRqRhJvP4SUrihd7vQcjnAMPoQmHSTeAFvc3ZbrbHJgAHgGxJrTE9L\n9Zywtdhra0C3KzWFFwh8RlQJSUES5E7g2gYyC/PIpBBgJ2LQILwk5QWDKzDJDbyAEGYX4YNxI8yY\nvIQ0ZIl+kALjtFgSr1AaYSFyuVzkHf/09dcjs7AL5ec+J/K9swcPovXAA1yBAQiBGRSs11Om0XWS\npCzc3Wq5HLR8Hg7rQkpo4gUGd68FW7oBT4EZtsdrEKGy19agl0rQ9PTubdjfwWk0uN9EJKOyIJJH\n2Zs0NxQvkUny0j0wYhv1kEaSKCgkxcQqMIULL0r9jmigfyDBdOzs/v2AriN/ztbGIHjdMf1LSMF2\n2OzBg9ArFWToXJ9hYWAbdUh7LiMBwRReEZquo/KC5/dtqWUjBYw5j5QNUmCCBmdN0/jfLZhwqler\nXglpM5mJlz23rwLT7iWbrAw5CjNt1Hpc20b70UeRO3x46O/Zdz2CAtP48Y8BAIWnPjXVNYTBF/wo\ne7AkU2AWKYGR7YGhBEqfmhraSBIFhaSYWAWmcFF67dMMXgdHxCA8Vl6IsenkDh7E2d/8Bp+8nBTe\nOIEoBSa8FLD7fe/F/FveMnQT4EAFJsTEy5SqsBbqJJh91SvhNBsoP89ru9bLZbitFtxOJ5T8uM0m\ntACJY76ZYEBYZtcutB9+mMxlSpD1I75u59ixyO+HhceNSoFh6wkrPXaeeAJuu43c2WcP/T37QVRg\nNu+8E1oul7pBPwy+Nn/JJS3PUEwIjMwQOwDQczlouZx0YqdwemNiCUzlqitTf89Bc22Sxsznt7FR\nDBroGEYYAHJXGdeAmmg9hQK0YrGPByas04aWs7YpQecOHcK+j37Uvx7BrxR2kQ3OiQK8jJygPF+5\n4gos3XsvarffnriNGiDH3G024dp26N2qG2jpBoTy2ogUmA4doimi9fDDAID8OekSGKbAdE+dQuve\n+1C69NJU4xGiIHamyU6bZZ/ZLlNgJJt4AWDqJS9JHMKpoDBMTGwJKbNnT+rvOShV1fNHjD4hc7AC\nk+5QPqD/QMfQThu6QYyihu6Rzd6/FW8xDxqcqcIWNEhWf+WFAIDad76TqEzovS6bh9QM/b7TbBH/\nTUh43agUGLdeh+s4vsfbDz8CAMgdTpvAkN9x8/YfAK6L0nOi/U5pwmfilV1CYgrMEpn5JdsDAwBn\n3PTH2P2775O9DIXTGBNLYGRgYA7MFja3La9lgAcmysQ7ShgzM5EemLBOG1aG6eeB2SrYBT5snEBU\ni3l2zx4Ys7M9ZbfCJZcgs3cvNm77J654aUlMvOX+xJckJhd8nq5RKzAAeuZWtR5+CED6CgwzqNa+\n/y8AgNJznp3q+0dhlNPbk0ILKjCSS0gKCuMARWASQB80R6bOcmDib25bxSAFJsrEO9I1zUyTcL12\nu+d7oZ02vIQ0fHne6NPyzvN6AuTgjP/2CRz+8pd6zOGapqF6zTVw1texefvtZO3l+H/jOBOg9UBw\nHDs2o2hnjjKjtx9+BDAMPl8qLTCS3brnXiCbHQv/CxAIWhwTBQadDvm3ZBOvgsI4QBGYBPDaqCNK\nSMx3EiPIbttrmervgfFMvOklqrJxAmHzkHh0v6AI5U0TxWc8A5Wrrhr6WjwPTC9p8NQgPzkwpqaQ\nPeOM0NervvAaAJ5JeUslpD7hcT0DHAujM/FqIetxXRfthx5C7swze8jUqKEJgYbFpzwlFQUzDsR1\nDHt2WFKIxwiQb+JVUBgHTKyJVwYGl5AaJDckhbZCb0ryIBNvuh4YgIwTyAY6fIITlwFCGA59/uaR\nrKVf6KAX8hd/oyw961nQp6fhrK0Bup5IGRl43rSaMEqB1u0RBdlFrcdeWYG9tobipZcO/f0Grkcg\nkuNSPgIC56p0BSZgxh8DD4yCgmwoBSYBBpUC3EY9tbvHYMR9z1qklJCiW6mj2rpHhX4EJqpDqx+0\nbBbVq68mP1csJsogYmblSAWm1e5VYFgb9Qg8TGEEps06kM5ONwMG8BPJ0rPHiMDoutcpJ9sDk8n4\nJ5QrBUZBQRGYJDD6GEMBksQbN2J+u9AyGZI2G0VgQsLRRg2W7htGYMJMvKNEfwVma+SuQstISVqo\nxef3i+/vHbqZ39Ia462n18vVeogQmNzZ5wz9/Qauh52jmQxKz3hG6u/fD/qYEBjA78lRBEZBQRGY\nRGAXEDcqB6bZTLVko09NwYkYJSDFxDvbR4FJecYOy8kIN/H2zmWKg8oLXgCtWEzcNeURmN6Bjq7j\nwG23ezNp2DDHUSowm+OlwBQvvjgxORw1+PDTMRhY6OvgUyUkBQXlgUkCTdeh9YmFdxoNZFPMpzEq\nldBAMkCOibffOAGn3YKWzaY2Y6d/CYm1UScjd3qxiAN/8T/JQMREa4lWYLga1DN0k5l40/HAsBC7\ntFN4ASC7l3xmyldekfp7D4JRqcCZnu47yiItiFPuDUVgFBQUgUmKyDkyrgu30eBprqmsZWoKzoMP\nwnWcHmKQdskGGOCBCem0GSXimXiTqxviuILYa+lTQvLKWYE2ajZrZgSKRFg3Xfvhh2HsWpAymC9/\n7rk4/JW/R/7crc0FGyX2fPADPKBSNlhisUZj/BUUTncoApMQerkUuim27r8fcN2e7ptRwqhWAdeF\nU6/3tFV2T54kz5mfD/vR0axnNtoDE5z+PGrEUmDS8uP0SXB2WuFqUPl5z8PCu96JqeuuHf56AoqQ\n02igc+yY1ATcwoUXSnvvfihffrnsJXCw81X5XxQUCJQHJiH0Ujn0Tnr9m98EAFRf9OL01kLD7MJ8\nMJ0nnoCWy6U6q6R/Cak9knJIFPql34ZNxh4lmI8iVIGJ8OPo5TJ2veMdI/n7BRWh9pEjgOsiJ8H/\nohAfGp+WrgiMggKgCExisBKS67r8MddxsPbNf4BeqaDyS1enthajwtJ4QyYLHzuG7BlnpOY5Acim\nq+Vy6C4v93wvrNNmlOiXxLuVNurtoF8JKUqBSXM9fIhjyjOQFJKBKzDK/6KgAEARmMTQyyXAdfmd\nMwA0fvITdI8fR/VFL0p1im6UAuPU67CXlyNTZUcFTdOQWVjg81p8awqZ/jzSteRy0LLZ0Jb3tDNy\nWNuyG9aFxD0wKZ43gZJWm7VQpzwDSSEZmIlXGXgVFAgUgUkInqEhbIxr3yDlo+lfe0mqazGqxHBp\nBwY6do4dAwBk9+9PdT0AYCwswF5c9CtUlPClaeIFyJ2qUwvznaSswPTpQrIp+Uxztk2PAvMQHeIo\noQNJIT6YiVeVkBQUCBSBSYjgxd9tt7Hxj/+IzK5dKD33uemuhSkwgYGOnSeeACCHwGQWFuB2On5V\nqNsFHCfVUD2AEph+CkxaJt4+HpjuqVMAgMyuXamsBfCfw06rhc0f/ACZPXuQ2bs3tTUoJAdvrVcE\nRkEBgCIwiREkMLV/vR322hqmrrsulRlIIowq9cAEBjq2ZRIY2vXUXVrijzGfh5YbEwKT8lgDzTCg\nFQpjQ2DEQMbabbfB2djA9Et/LdF4BIX0wQL/lAdGQYFAEZiE4O25dDNa/+Y3AABTv/Zr6a+FEZhx\nUmB2ka6Z7inPB+N12kgoIW1u+spZgJyMHL1YDC8hUb9QZld67fdiIOPa174OAJi6/vrU3l9ha2AK\nZprlRgWFcYbKgUkIMQTMabWw8b3bkDvrLBQuuTj1tbDQMSfogXlCogeGKTCLp/hjLAgsTcIAULLp\nOMR/I8yR8cYapNv5My4KDFtP58kn0bz/fuQvvBCF889P9f0VkoMpMMHMJwWF0xVKgUkIcY5M46d3\nwW02Ubn6ainyuxGlwBw7Bi2b5WpImsgskI3YFkpIXTruIJNiyB8QHWZnb9Z8309lLaVSaKJr9+Qp\nQNOQmZ9LbS1sPfbyMtDtYlqpLxMBr41aERgFBUARmMQQPTCbd9wBAChfnjxefihrqbI2ar8HpvPE\nE8icsS/VDBiGsBJS5/hxAED2jH2priWSwCyvQMvleHdQKmvpo8AYc3PQMumKoXxEga5j6iXXpfre\nClsDM+8aCYeJKijsVKgSUkKIHpjNO+4AMhmUnvUsOWsJUWCcRgP20hIKppySQJiJt3OMEph96RIY\nVmKz19Z8j9vLy4Q0pKia6eUS0OnAbbd9c2y6i4vIHjiQ2jr4eiiBKV9+earjLxS2juqvvBD26ioq\n11wjeykKCmMBpcAkBLtr7z55HM2770bxaU+T1hWg53Kku0XwwMjMgAHAo+9FD0znOFlTJm0CQ8sy\nwWTg7soKjLnZVNeihaTxOvU6nM3N1P0vgEdgpm9Q5aNJgVGtYv7Nb1IeGAUFCkVgEoJd+Df+6Z8A\nx0H5ssukrseoVn0KjMwOJICOEygWYS8KCgwvIaWbDJyZI2qQveQRGKfZhFuvIzObsuek2EtgZBl4\nAaD07Gcjf/75qKq7eQUFhQmFIjAJwdSW9oMkvVSW/4VBr1Z9HhhOYFImCyKC4wS6x5+EXqmkfueY\nWegtZ9lUjTHm0jfNAhEEJsWBmwwLb3srzv761zwvjIKCgsKEYSQeGNM0swA+A+AQgDyAjwG4B8Bn\nAbgA7gbw25ZlOaN4/1FCvOBrpRKKT3mKxNUQBab92GNwXReapkkvIQHEB9P4xS/gOg40XUfn+PHU\n/S8AYHAFRuiIWiaTsjMpl5A4gRE6kbo8AyZ9BUZBQUFh0jEqBeZ1AJYsy7oCwK8C+HMAfwLgw/Qx\nDcANI3rvkUIkMKVnP8tnyJQBfWoK6HZ5tonsEhJAO5FsG/baGuyNDTgbG8ik3IEEgLcmix4Ye5mQ\nGSPtEpLQfs/QPSmvhKSgoKAw6RhVF9IXAXyJfq0B6AK4FMA/08e+BeBFAL7S70VM07wRwEdHs8St\nQSQw5cvklo8AwKiSsoy9vgG9WCRjBLJZqZsiD7M75Rl5pSgw80yBEcpZvIQkSYEJKyHtVgRGQUFB\nISlGQmAsy6oBgGmaVRAi82EA/92yLJbpvgFgOsbr3AjgRvEx0zQPAXhkeKtNBq1YBDQNcF3p/hcA\n0KssjXcd2LMbnSeOIbtvX+pzmUSIYXZuuw0AyO5L35Oj5/PQKxV0l0QFhpaQKLlJbS0hE6llemAU\nFBQUJh0jM/GapnkAwG0A/sayrJsBiH6XKoDVUb33KKFpGvRqFcbcHPLnnSd7OTDoRGp7bQ1Oswl7\ncRHZ/fIMvIBgnl1clBZix2DMz6G7LJh4V6gCk3oXEptI7YXqKQ+MgoKCwtYxEgJjmuYeAN8G8H7L\nsj5DH/6paZpX06+vBfD9Ubx3Gtj3hzfijE98XErSbRC5s88BAJz87/8D7UeIMCWzAwkQs2CWpIXY\n8bXML8BeXoHrEP7MSkhpm3jDcmC6p05Br1Q4uVFQUFBQiI9ReWA+BGAWwEdM0/wIfezdAP7MNM0c\ngHvheWQmDlPXXit7CRzTN1yPze9/H+u33ILH3/MeAHINvIB/oCMzqsojMHPcUJyZneUlJFlt1K7Y\nhXTqlFJfFBQUFLaIUXlg3g1CWIK4ahTvdzpD03Xs+/hN6C4uov6jHwEAcpIJDNuU7cUlksKr66kP\ncmQQW6kJgVkGslk+hiEtBE28bqcDe3kZ+XPOSXUdCgoKCjsF8msgCtuGnsvhzD//FPfk5M46S+p6\n+DykxUV0jx1HZvduaNms3LVQI293eRmZmZnUp4frJTZYss7XASj/i4KCgsJWoYY57hAYU1M4+Fef\nRf2HP0ThaU+Tuha9WIReLqN78iQ6J05IDftj85BYK7W9vIzsmWemv47ZGQBeTo/KgFFQUFDYHhSB\n2UHIzM2NjT8ns7CA1iOPALYtrQMJ8CswTrsNZ3Mz9QwYAMju3o3c4cPY/NGP4LTbKgNGQUFBYZtQ\nJSSFkcBYWAC6XQDpT6H2rWOOpfEu8TlIaQ9yZKhceSXcRgP1O+9UGTAKCgoK24QiMAojgbgxywix\nC67DXvQIjJFyiB1D+corAACb//J9dBdVCUlBQUFhO1AERmEkEJNupZaQ5rx5SLIGOTKUnv1saMUi\nat//vqfAKAKjoKCgsCUoD4zCSJDZJSow8giMPjUFZDKwl5akpfDyteRyKF92GWq33ca7shSBUVBQ\nUNgalAKjMBKIZRqZBEbTdWTm5tBdWkJ3iU6ilqTAAEDlqisBAC3LgpbNQp8eOIEQSCIAAAeySURB\nVBJMQUFBQSEEisAojARsoKNWKknfpI35eaLA8BKSHAUGACpXXMG/NnYtpJ5Ho6CgoLBToAiMwkjA\nBjpm9+2Tvkln5ubg1Ot8sGTaYwREZPfvR+5ckr6rykcKCgoKW4ciMAojAev+ye7dK3klHplqPfgg\nAMCYlVdCAoDKFaSMpAiMgoKCwtahCIzCSJDZtw/zb30r5t78JtlL4fOQ2g89BBgGDMklLeaDye6V\n5w1SUFBQmHSoLiSFkUDTNOx+33tlLwMAnUgNwG23YSwsQNPl8vbSc5+LfTfdhPJlz5W6DgUFBYVJ\nhiIwCjsexrzX0p2RXD4CCLmbefnLZC9DQUFBYaKhSkgKOx5MgQHkGngVFBQUFIYHRWAUdjyYB4Z8\nLV+BUVBQUFDYPhSBUdjxYF1IgLxBjgoKCgoKw4UiMAo7HmLZSJWQFBQUFHYGFIFR2PHQczno1SoA\nVUJSUFBQ2ClQBEbhtAAbHyBzjICCgoKCwvCgCIzCaQGDJgPLmkStoKCgoDBcKAKjcFqAKzDzisAo\nKCgo7ASoIDuF0wLTL7sBWjaD3FlnyV6KgoKCgsIQoAiMwmmB6jXXoHrNNbKXoaCgoKAwJKgSkoKC\ngoKCgsLEQREYBQUFBQUFhYmDIjAKCgoKCgoKEwdFYBQUFBQUFBQmDorAKCgoKCgoKEwcFIFRUFBQ\nUFBQmDgoAqOgoKCgoKAwcVAERkFBQUFBQWHioAiMgoKCgoKCwsRBERgFBQUFBQWFiYMiMAoKCgoK\nCgoTB0VgFBQUFBQUFCYOkzjM0QCAJ598UvY6FBQUFBQUFIaEa6655hCAxy3L6sZ5/iQSmH0A8NrX\nvlb2OhQUFBQUFBSGh0cAHAZwJM6TJ5HA3En/fy4AW+ZCxhTsBFDohTo20VDHJhrq2ERDHZtoqGMT\njX7H5vG4L6K5rjuc5aQI0zRdy7I02esYR6hjEw11bKKhjk001LGJhjo20VDHJhrDOjbKxKugoKCg\noKAwcVAERkFBQUFBQWHioAiMgoKCgoKCwsRhUgnMH8pewBhDHZtoqGMTDXVsoqGOTTTUsYmGOjbR\nGMqxmUgTr4KCgoKCgsLpjUlVYBQUFBQUFBROYygCo6CgoKCgoDBxUARGQUFBQUFBYeKgCIyCgoKC\ngoLCxEERGAUFBQUFBYWJgyIwCgoKCgoKChOHsRnmaJpmFsBnABwCkAfwMQD3APgsABfA3QB+27Is\nxzTN3wLwNgBdAB+zLOubwuu8HMB/sizrNan+AiPEdo+NaZplADcDmAXQBvAGy7KeSPv3GAWGcGw0\nkOFhD9CXvMOyrA+m+kuMCEM4Nh8A8Kv05WYA7LUsa2+qv8SIMIRjMwfgcwCmACwB+C3Lsk6m/XuM\nAkmODX3+LgC3A3iqZVlN4XVO62sxfb7v2Khrcd9jk/haPE4KzOsALFmWdQXIRfPPAfwJgA/TxzQA\nN5imuRfAuwA8H8CLAdxkmmYeAEzT/CSAmzBev9cwsN1j81sAfmxZ1pUgF93fl/A7jArbPTbnAPiJ\nZVlX0/92BHmh2NaxsSzr4+y4gFxY/ouMX2JE2O558yEA/2pZ1gsAfArAH0v4HUaFWMcGAEzTfDGA\nbwPwEdvT/VoMRB6b0/5aDEQem8TX4rFRYAB8EcCX6NcayN3OpQD+mT72LQAvAmADuN2yrBaAlmma\nDwJ4KoA7AfwAwFdB7pZ2ErZ1bCzL+lPTNA363IMAVlNb+eix3fPmbAD7TdO8DUADwHsty7JSXP8o\nMYzPFEzT/HUAK5ZlfTvFtY8a2z02FwH4A/rc20Eu1jsFcY/NVwA4AF4I4MeB1zjdr8Whx0Zdi/ue\nN5ci4bV4bNixZVk1y7I2TNOsghyEDwPQLMtiUcEbAKZBJNs14UfZ47As6wsgUtWOwpCOjW2a5vcA\nvBPkBNoRGMKxOQ7gJsuyfgnkLvpzqS1+xBjGeUPxQeywWPQhHJu7AFxPH7seQCmVhaeABMcGlmXd\nalnWUshrnO7X4n7H5nS/Fkcdm8TX4rEhMABgmuYBALcB+BvLsm4GYWkMVRC2uk6/Dj6+ozGMY2NZ\n1i8DuALAl0e+4BSxzWPz7wC+BgCWZf0rgDNoLXZHYLvnjWmaFwFYtSzrwXRWnB62eWxuAnDINM1/\nAan5H01jzWkh5rE5LTGMY3OaX4ujkPhaPDYExjTNPSA1sfdblvUZ+vBPTdO8mn59LYDvA/gRgCtM\n0yyYpjkN4EIQc9COxXaPjWmaHzRN8/X0uTUQWXxHYAjnzUcBvIe+1tMAHBXuGCYaQ/pMvRBE+t1R\nGMKxuRLA/6ZehgdBykg7AgmOzWmH7R4bdS3ue94kvhaPkwfmQyDO7I+YpvkR+ti7AfyZaZo5APcC\n+BKV3/4M5EDoAP5AdL7vUGzr2Jim+RkAf2Wa5m8CMAC8Kf1fYWTY7rH5OIDPmab5EpCa7RtT/w1G\nh2F8pkwAt6a87jSw3fPGAvDXpmkCwBMAfjP132B0iHVsZC1OMrZ7bE77a3Gfn098LVbTqBUUFBQU\nFBQmDmNTQlJQUFBQUFBQiAtFYBQUFBQUFBQmDorAKCgoKCgoKEwcFIFRUFBQUFBQmDgoAqOgoKCg\noKAwcVAERkFBQUFBQWHioAiMgoKCgoKCwsTh/wd9J9yNN6QLEAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax= ts_plot(y)\n", "ax.set_ylabel('Journeys')\n", "ax.set_title('Monthly journeys in Sydney trains (in millions of rides)', fontsize=13)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We conduct a X13-ARIMA-SEATS decomposition for the data. The results show that the number of journeys on Sydney trains had a slightly negative trend until 2006, but has increased steadily with a roughly linear trend since then: the number of users grew by 22% in the last ten years of the data. The series has a clear seasonal pattern that seems to be slightly growing in size with the trend. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZVJDNuq+ZHgCK3d3ua1f3yMfO5dw3428N1knAamvtycaYacBjwD+BP1hrrzHG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/4v3PNl+NrL4OL/B2vPaM7xSnm46X3w8A8h1a1cl8POm/znUj3KYfvtx+COz8I3Xglv/tHC68sa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lDVYfy5t9HJ6vwTRUBouuBT9fbn8PxAC73fcx3xA9sz746Scx8GNTkLprY6YqHAOFRHCgXEdu\nI+9a+d8P+2arMI14s6SdAnoBoMEkggSMa44F0zQwV3c0BqujrOGVjquiSrmM4A55CZt2ttM9XykI\nsHIMFnQAB8TJyrAarCIugnQefHz6Oaz+ChBJ3Gqwmng9LXnVAdzNu2/GbCW/TCGzTxWTIGZZ5fuh\nj+Mzx/H2G9+ePX6WRDCvCW00p7XeGlZ6K9hbzzYLK1JDRu/zfV+OXbEq2Bxs4sz6GZyYOzFUApcl\n08xKiukaP7ryKI7OHB3NhCKlH5x+DxHAum4uB8AVAEBpfbyAGGDlAUTp8pdRI5VncvHoyqPwAg8n\n509mjg9EAMsT/UPoi5RLieXPAIqkr+/38cjyIzgycyS/RiqrWXLgSwc+6R5IDJMVAyDHdHKf50I2\n7Rn30AMXHwCQv5GRyZAxlnK7R0ZN8MPs94k64isZhmHghr3T+PKZFZzYI5iZtD5YK+0B5uuuBE09\nLwYNJnMF9PxQJmmuBrAIHFBST2CIJIIVJs2jeeyeriAMQ5iGKhG8sN6DacRsGwXvuwVAkWwBIslb\nbvex2ROgoRrt9i+3+9JKuubYqLoqCHh2pYOqY2Gu7sRSoc2+TMAkgxWdy0zNkec/8AP4EuhpDFbf\nx+eeXJKJMACFwVrQbNqJbXEZgwVAFu4fol36pY6y9gBnTPx4HJvXYCWfLwLMZBdP66uDZSAGq6eX\n2lja7OPQfE0CsB6zaa9rDBZn92qulWCwhMlFeg1WGIr3rXcHUmJ4JIPBohqkEDFYoJo1gDNY+Z8z\npmngh155Eu//6MN4420HULEt3H5kDp95XMgU33rHIdx7clHKAgeB6INlGvF9CMRNfDd7YgPjuogZ\n1SPeYBhgtSOMSzgwpgbCAGQNI53D159dQ921JCiaq7sIQ3Fdqd7q4FwNTy93sNEbYK07gG3FTo/E\n5lWYEQTVYJ1f62Kt66G5bxrL7YG8J8Qco1IShwNKFWARg7TZ83Bovo6Te6bwp189i2dXOljveqjY\npnyGDs7V8MTFTfS8QJF6KgDLzgdYjmVi/2xNMlhc2QyhAgAAIABJREFUEsyDu43Gmy7iPQuNCi6s\nxd9/59Z6wrVxCCi/XHFVbEGWEZw90QEQN4gYVr9UxIJcr/8BigOsrPGByERDS77pJyV6RRgsShLT\nxpfnoCVm+6eEXvzVR189dPyhfaRyJIKmYeKn7vqp0SSCGfbUtmkLyRdMPHDpAXS8Dl519FVbHj9E\nLHEEUpJj08HZzbPo+T3cuvvWzPFpTqkSwSBIjK8DoCAMcGL+RO74WVLTNIc5ffyNwQZ213Zjxp3J\nHF862GWwG2kuhbRO31j5BgDg+Gx+2UrFqiQ2MrJMLjjAemzlMQAYDrDsCgIEynXgEkEgncG62LmI\nzcEmbpi/IXf8vDXKAtH083z7PK6bvS7XcXQYiE6T+vJGw9PuNPY19mXP/x9BH6yrMU7tm0YYAp97\nUiSIlNQ7lkhwNqIEcK4eg4beIJBF9bYGmGLTClUiCIiE1khIBJnJBUvyqe+MYYjaEQJNgLBpX5yu\nwDTVHX/JYJFEUKs1arjCKa898GSiT7v6XebC5lomDCMGAc8sd3BwvgbDMDAfsVVLEevFmbfzq1SD\nZcu16nuBrMGKTS5iF0FijN56xyH87y86jFeeiqXY1FD4YpS8cpt2IN45fzgCWIcjiWDMYMXfa3Up\n+YwbF9vcRbCafL7afQGwKMGmxFkyWHaSwfr//voxtPs+9s5UJaDoewH6XgDXMhM90wjgWIaBumMn\n+mPZllqDRfcdRd8LsN715DWgNQDUGiyqQQI4g2UmbNqHMVgA8Orn7cPHf/Tlkm18yXUiz/rm5+3D\nT73+JhhG7Hw48IQUr1GxFYaKrseFjR66g0A+d3rQnFc7A6xpvb0A4OaDDGBFElve7uDYYkMelzsJ\n6nV7G13RaHim6sj301pwYEibEo8+J+65+YaL+bqDlbYwuDm/1pX3giKJrKgSwU5f2Mi3+z7qriXr\nmC6s97DZ9xTQcmCuJgEZNyvhny3DGCxA3BsX1nvoDnzpYqlvLDQkc+/HACta14W6g7WosTEgnvft\nUn8FXEMMFk+ceGJWsSqKy9+oLoI86UjrU0U/d9d2Iy/ob9MAUBAGchxdUvT6614PAHjRvhfljg9k\nSwQJJNqGnQAP181ehz97y58NrVHjf5MwuWAgVwdA85V5vPTAS3Hnvjtx066bcsfPkghmNVilGinH\ncmSPrbeefOvQ+evXQLIbQxgmALh9z+255+CYjjT0UI4RZvfB4hsBw5L7IvIx7lynjz8M/HDLdR6p\nEkEyemEsJTB8MyDV5S+Ix8+SmdJ1OjmXD7A4AKLzSUgEtefANV0JtIeNn+nkyABWVi0lMBwgSqfF\nLCdEM8lE8/FPzZ/KrdfMkjheTQzW1RjNqJfOSnsgWR2Kumthreths+djvu7KJEax+pYmFwSwosbn\n0kUwKc0CkHAHrDqWYjBww94p5b3UwDQMQ1xY70kAxoMno0AMSGgujYqNvhdgpT2QyeN83cVD59Zw\nLtqZrrtCkl11LNlIdKPn4Y4oEeV2zd1BgKpjSQBC/blma440sBj4oZTkUdJdZRJE6in15tsPSrkX\nj11TFSkR1M0pqPaDCveJwaI1ndOc8yoRYPYYeKHga0/nLhisuAaLGAMJsBhAOzxfx0zVhh+GePPt\nB/GOlx6XJgvdgY8gFNe/qskvJRNqGqi6Fi6uq/btFqvB8vwQnqUCrJ4nJHgnorlxieCcBkbm6qKe\nKa7BMqQUMTZW2Hqa+vY7j+LorgZedsNuCaKlTXsQYrPnJRJ5uv/o2pH0VI9ZDWAR0xyfk4sjC3Wc\nXmpLENNgxzrOJKdzzKiBGCwJsHp+oncYgW6d5dk9XcGTF8W85+su5hsuHr+wiScubiIMgesWxTEV\nSaSrmlz0PD+SeIr38f5a7Z6fAFgUKoPFANYQBgug52MJTy+3pU28btPONyJki4Lo84PMbFbaA9Rd\nCxs9b9s4CALXEMBSGKaUPlIVs4KKVcllTgAmf8vaWTfj+hw/9OPkdYs1WFk26sRU6QnTkZkj+MHb\nfjB3bH4MP/QRhIFiY52WHPO1Gsa+DTuHNAtscpiDAfziy3+x2PgZjYAzm9Ay9qHn9/CG696AuWo2\nU1kEwPH36SAaAG7dk89gZYHcIAyS45vJ8YvI34DRaqSA/PorIE7u88xeshgsANjf2J8rr6NzyOzx\npLdDMN3Es1t0jbp+F1MQX5K6RDDBADFG6YaFfJBL55cGUPTx0/rZFQXReRLBLJlmkflnAThu9rIT\n5cepfTFQmdMkd3XXkn2RZutiZ9u1TfSihsIA4Gg1Vdx2HVB3mbm8a1ZLfiu2qUgEm2xe01VbAqC1\njjBp2D2dlEQTaNMBFgFDmuNKeyDBybHFOr72zKpsoExzqLsWOgNfGigciOyiSSK4tDlApy+khpSk\nERsyU3MQhjQHH3oPMO4i2IvmuiuDwdg15eLJi5vw/AB9raZs/6x45gly7Gq4EhwByTWuV6yoBivp\nIlhn0rjrdzfw9WfXJJCSNVgag8UBWs218JEfvi8yshBjUY0KsUO2Ff+OAFZsRmXAMQ0JIv1oc8sx\nDQlavCCUr1Mst/sIw/jaztWdyBHRT7A9c3UHT11iLoKmIe+R2Olv62lqzbVw/01qGYBga2MzCZ2h\nouMQ26jLXSnoGp5f66GnGZdQ3HpYGF0QY1Rn53BsMQZYxGBRfyxAuAK6UYuFtY6nSCynXPqeUMHL\n7qkYYC00XCxtuggRm9Nct1t8v6VJBPn132TOjWRYc3Gjh/WeJw1egNjtk58DoEoEnQIMFjUWP7Pc\nka6ieqNhztzTc0RAMX72+1jtxHWQ2yWuOYlgVo3UXHUO+xv7h46T5ZDH2RkgKS3a19iHKWdqKEgh\ncJBWn8Md5tISvqIx1KgjRSI4yvgJli/F5W8UmVEhlz/NAAEQCaNpmLn1XUBODZa2c58FIA5PHy4E\npIvKQOX47FqfmBsiEcy4BmntCtIAVl59FH9vHoDTWwrw8YcxZEC+CUWakQm/Vw9MHUDDaSAv0iRw\nMrnQGCYd7AJjMFiBLw0isoAcUIDBypLwsfuUxk9jyJrzzWLj5zQy3ony48SeKRDu0ZO8RsWWoIF2\njl3LFL2dNOOGpGmFuF46i0JRdUylloSkRxScoZqpOeh7AboDX7JEeg8sgPXB6moAyyYGS2XnAOC9\nb3gefvTVN2C+IYrpKRGu2qIeiNzZyHGQswBdz0fNtRJJ2kyV12DFzndJF0FPSgR3ZTAYuxoVhBCS\nxIF2PntnNRfFmoNZbuxQ066na6Pd8+U15TVUXBpHLAn136pqDFaaiyAgQDhfC5onGQo4rL6nqzFY\nZMdO/09zNFmjYT8I5Os0NoE9mr9hGBIk8Bosvh4EGBzLlMeLk/3yPmdcy5QAK8FgReCFaoKGSQSJ\n6UoDWDcfFBu4dAyFwVqMARM9wyudWCI4U3MwVbFxYb0HPwiVNatrsj4K7t45X3flM/6Fp4Qr83W7\nUxisCpUIxHWcdF/UGIN1fq2HTt9X7kfqhQWom0AzIzFYUFos6AwWzbvNJIJ0/8+zmsjt5iAIXEMM\nFncR1He+AeD9974/t7cThZTw5bizASKR6fk9Of6P3PEj+P5bvj/X+IAiy0adm1xIi20z/UNg2PiA\nSLb5fDhA0etzthLDGCB+DcYCiLrRCNJrvOgcvvfm70UQBrKeLCtkQ9kMAJdIjrWGwMPqrwDIhrI8\nwjBEgCAz6aZrvVBdGArgsiSCBCB4n6dRGKwskwtFZprDwA0DcHQOF/2LymvKJoDWRJd6kYUIh7I/\nND6gAgiaf5ZMk+7XXdVdQzdLsmqwFKmvLkFkazQMRGf1qUprJ5AqEcwxuMgdf0ciONGoOhaOLzbw\n+IVNWV9EwRMk2jmuOCZ6XhDXzkR5jV6DRQmPXgdDIWqrbCxvis+lim1K+ZBlGjJJA1TgJC3ap5Pf\nFVVH2GNTvVZf9sGKJYIUUrLkWHjH3cfx7S8+gt4gkCxAzbVwYd2TtuUkU3JtE9NVG0ubfbT7PvZM\nVxJJ2mzNiZ3//IABGjGPGmOwljb7Cgumh2w2vNGPGw1H67jYqMheTlMVG7ZlYrrq4HzUJ0xPxqcq\nNk5vpvfB4vUyJyOAdXE9YrBsFWBRDGMNaN2JLXGsWIJK8quAmVw4ESDhrzusBmvgh7Ataqhroe8F\ncp25XOzmg3M4vdRO3CMEBOg+VCSCXS+6f8rjASzTQHcg6s/0/loEXkg+mgWw6RqezgFYtx4WdVh0\nf/NryRksOv/lzYEED7M1B42KjadTxncsE3umKwm2eHGaAyxHArcvnBYA63iaRJAcCU0DFdsUDcz7\nsSyTjDhIVlovJBGM31MpALBkjeJSG4tavz8ejajpdocBQIDJg9t9eU8fmNsBWJc9snokUUIzbLeY\nIlMiGKTLx+jntDuNaTepUc86Rmqj4SBp0z4Kw8STY77L74diZ900zDgxG4FhovEzGwGnSJe2EsNc\n/rKs8t984s3Fj2HY2U6RWSYUEZAYVn8FQDaU9YNYLpaQIGrjU8I7LPHmf5PowcSbPafUF1EMc6Mc\nVv+TZ7AAjMFgMZCrX2PqRdbze4XWKA1A8I2YtJ90DkU+L/JszofV8e1v7B/6eVGEYcqSINbsGg5N\nZ9vk03uAFAnijkRw4tHcOy0AVkIiyNgQjcHyMxgsYmRo15snbLbGeMxUHQmwqpEV8q4pF3unq5IB\n42OvdbzYoj2FwTIMAzNVJ5PBmmZJW11zi6s6liJpqjomOgMfX4qSxiO7VCZgKbJp542J5XnVVJML\nX6t5kjKpvo9Lmz2lt48eu9iuOYEBGts0DeyZruDZla5cZ550cvZQnLONdt+XIEatwYod6GhX/mLE\nYNF8dUZoOMASf7fJAJZlCplpogbLEAArDIWZxSClBos3Gq45FlYwkDV/nPH48dc08QMvvy5hwf3S\n6xfxtWdWZa8sxzLkcXRjhTLCsUxpuFLXxqaaODJvyGSwqsMZrBv3zeAddx/D3SfERihnao/t4hJB\nqiHqx6YRNQfTFVvKTHVZ5e9930sS9/duzmA1XMnsPLfWQ9UxcSCSrvK/49eHzrvNjGUIxBHAmmLX\nTgVYXCK4NZOLmMFqS2l0mntmo2LhmRXWfDy6j+eZRJCYbb6+VzquOYDF+2BZhqXUIBWJTIkg7dxr\nCVMRxirtGMMkgrY1OgOUyTAx++gyJIi5TW7N0QHWUJdCXSJYgJlMHMNy5DWl0AGQnhRTQnrbntu2\ndA46wMpkT6K/KcLOZDFMQRjAgAHTMGWT2SlnSvmb/Y39uQ1ogeG1iGk1XvxZKMRg2RX4oQ8v8ORY\naSwlgSv6d8/vFVqjNImdzkTr9ymdw1bG1wFKWp2dLpkdF8DROWSB3OZ8c+hnX55JB5/zTpQfzX3T\n+MgD52SiRNFQGKwIYEX1CXrzXErMJIMVJTwV25J1QZaRBFgUtAP9a991h3RD09+31h3guTUCWOnf\ndTM1O7MGK43Byoq6Kwwx/vKh53DTgRk0mWRxoeFKRkEAM1X6WLGtGGBFFuVAzJzQfDoDH0ubfaXe\nTI9drDZFbzQMAPtmawJgRYknX1M9WZ6KEu9Y4pd0Edw/W5PrtKQZlujJPZcYpgWNHzNYkcmHbUoT\nEJ9JBGl9Bn4ga61s/noQwPHFvwmwEKDnwFIHyxTfcst+fMstsaJEtWn3ht4TWw3XNrFCACtNilax\n5DXVNzcoaM2fIoBVT+YwpmngR18dS7AJWO6brSrrQMD5Gxc25XrN1hxl7fRrnCaB2z2tSgQ56Dm2\nqyHdPTkrq5iouOLzgDf3rjoWpio2zkQtBrirJfXCWu96qkSQyWGLSATpXLlEMO0+aUQbEe0sBmuz\nj8cvCCB4fPf2AVjXTA0W33Wl5HBSyT2QXrReNGwzyZ4AqkTQMcZgsHJAYtbO+lYiD8ABah3cSOAn\n4xrIOjjTTLXK3+oxMlnKDIOCd978TvzknT+Jg1MHh46f1ghYOl1G49136D7cf/R+PH/X8wEAU64A\nQs2F/NoZIMdFkDFmL9jzAvzEi34Crz3+WjGn6F4dJg8EkN2nKoifAyljTZEgFmknkHYO/B4yDRMm\nkm0XgGIAKA2gJCSCRjrIHQcAeYEnNzL0OjX6WQjAFWAR9c0AuoeGyQOBeDNKB4i6m+ZOlB+3HxFu\ntsd2qRsdfNed2JCKbYrGsb4KGiSDtUlJuZX4W11+xRMkSnRO7ZtR2CLxPvH3610vlghOpQOselRn\nBAhwY7AmqRxgpe1c8+Cg6V2vOKEwTByI1hxh605Yg+ZKIMrzgwQYNU0DVcfEc+s9DPxQNhROi1ge\n6cUSQQ6wombL9D5aU8NQGTsgTnJXoqbS3AVQJuUzVblOBJZ1F0GKohLBuAYr2lC1TQk6A25ywezY\npaySSQSDIJSMF4H/pU2SCI6ysWkqLoJFLNq3EhYz0UhjxzjoyJII0rNznjWxHhbEYOnsyr7ZKo4v\nNvDZJy5JJpgkghQ6KE8LPtf5hqOAw+NMklhLqcECxKZLzwukRJDY5N3TFfms6OtFNZBcxsznWgRg\nAcJl8unljvyMyKrBCkPIpsI6wFpq9/HExU0sTrkJVvdKxjWzBZnGYI3CLmXt3PPkHhhfwtcetJXX\nwjAUrn+mym6MxDBlnAPfWddBxJbGz3IR5OyDMQEAl7Jzz9myrUSaCYXOYOk1TKcWThVKXIH0a6BL\nr07On8TP3P0z8vevPf5auJaLVx5+5dDx8xoB86T+LSffIn9HDaSLnoNrutkspWliT30PXnXkVbLn\nmOypVsBBEFAlfMSocfAAiHuBA7eaXcO0O53bSDoxPgMQWRsldL/OV+dhwsSNCzcWHj+tBiurNurw\n9GEAwAv3vnD4+HayhgzIMJOJft64cCN+8s6fxL0H7x06PhA7b2aNvxOTiTuOzuN//MBdCQtozmBR\noufaJvoMNDiaTTu1KeKSndmag3Or3QTjwZMTvZCeRywRHMQSwZn079Ppii0aIfsBel6gNXdlDNaQ\nZJoA3/MOzOC+k2oN6i4NYBmGaJK72fPlORGY6HtBwqadxieXvazkms95vTuQ4/Bkcl8kx5qTEkHx\nc7bmJPqE0TkTq+KwRsOUPB5eqMljXpRyT0uZC4UzJKkl5mujS4ob+hw1MPDEuXCTC1qzAbu/LN5T\nyg/hsBosALJH2PQIia5lGghCAYK7g2Bok+Gthlrjlhybr+cwBitLwpcWu6fEZtiN+5PM6H03LOKD\nn3oKn39qGZZpoO5aGls0PAfbozFYXIpKDoKA3gcr/nfNMbG82Zc9zwho7p6u4ImLkURQuxa3HZ7D\nhY2eIqWccm3ZPLqIiyAAHFqo4cGza/jvnz8j5pIqEVQZXJII0rHPrnTx7EoHLzyW32bpcsc1A7D4\nrus47FIa8wBkNygd5Rh5yX0iMTPGkPCluPzluY4VHp/AQwGXv1HXB8i3gR9HggiI9c3rIQUkDQq2\nEmks3LDEteE08Mbr31ho/DyXv6zxb1q4Cf/+3n9fqJcaICRwWS6CtiHs93/2np9V5l+xKoXACZDB\nYGkGC9wNEQB+7IU/hjAMc/s76ePzc8hyiqR7+p3PfydedeRVQ+uX+PhpNuo0Px1g3XvwXvzpW/50\nqIkJkG+jbhpm1FxT/bwwDANvuP4NQ8emqNm1HZv2KxQ37k82+uYJEiWAFVuYC3CXNyDJIFQYYKLk\nP1GDxZJFXnOlhyIRXO/CNLJtrYl12+z7srktxdQWGCxynNPZK0BNhilBqzmqNTiXCMY1T2rDVmKS\nsupvgHhdN3seDKgSQwCyD8+clAjG0i89CEBQXRA3HTm+2MAvvO1WvODIPHqeeOYuaQwW2axT8X9R\niSAxFbzBb18zsxBAKnZe5Nb2vAaLAFktujcvRoB7FPaJxiXJZNk1WC673/WaP368mpsuaQTEfcql\njEUYrCO76vjgO18ke9zxuO/kbnzwU0/BD0LMN4Tcna9dkfEJwE1XbTiWqdy/CoOVYtMOEIOVlOAt\nso2GqYo6j5947Sn86KubyueEaRpoVGxs9LzCDNZb7ziEB59dk+6Nae0RCPARg0ufFbM1BwaAL59Z\nQQgVTG6HuHYAVkpx/6i1OUB+HyxgTIBiOrn1S8CYDFYGQMmzCB9l/EyAwuyjx7oGBRoNjwqwXNPF\n5mBTeU1nT2p2TWFEtxJ5AKuM2ha5EZByDbIAlmEYeNnhlxU/xhbZjapdxa/f/+uFwAOQAYB0J0cm\n+QWAuw7cVXj+aTVYOnjQ3TpnK7O4effNxeZvD2ew9OfNMIzC65NXI6Wb1Iz6HFSsyk6j4W0U9ZQa\nLEqau56aZOsJbpUlQpS0jcpgkextpT3AU5fa2DNTTbAzFMS6tfueAFgs8VIlgvmfe99333W4+8Qu\n3Hsy+XwsNPi8LeUnnWvMYIUJiSCgJp+7MuSOQLyuwuUu+r5nzBO5mFFtCjE5usEFEJ8zATvdGOCb\nn7cv+r34HF+TTaDj981UbQmwhrEGdtQLSpcI2paBdj+NwaJ+V4Fibc9rsNxAjEE1TZc2kzVYRYOu\nBzF6ZUsEOaBOq+8iwJvVAw0Qn9GzNUfa0ReVpN1xdCH19RccnZd9wqQxyhYlgjM1G45lyM8EvuFw\nPatJcm1TgkN+/jXXwsAPZUNsWnde26WziY5lIg2DztQEwNJbBmTFS69fxEd++F48fG4dS5v9VJBE\nYPjSpsrgWqaB2bojnx8OJrdDXDMAS9aGRI2AHdMZTSI4pP4nUcM0IgBKGCxkuJuNwzClJd9ZRfdb\nGj8LwOUU328lpEQwx+VvnPEBsUaZIDq6xu++/d04u3m2NKAuwUMJ0ivJ/ugsZeCPdE2zjqFLWYf1\nSCpSP8bHBzQJH5OZAkKyN+vOFp80CwIofPwsGego1zjLpp27gY77HKTVSPHxx5k/IEDoWn9NeU1n\n63fi8gUBkoptyiSbmClKsslFsOpYiisaBzaUtFk6wGI1WEUYrL9/9AJW2gN86wv2DJ3zZk/ULLmZ\nEsF8wL5vtprZRHSB1UwRUKpLp71os1D2wQoUEKH/HZCfYJN8a73nSVDJgc3dJxbxz19+Pd56h2C5\np3MYLPrdBmv8mxY6+OTsCtnAG0byeuphGMKSmwwtZA0Wt2MPk7VWnh/GssqsGiyScY0DsKJxJ8Vg\ncUCd6lYXrXMegwmI54TOswjDlBeOZeLu6xfxsQfPy+eqsUUGyzAM/ItXnpQgnoxeel6QqJ+suxbW\nu54iQyTZLp0TMVjcnbAo2J2pOngW3UI27Xz+aYy9PHZ0XUiOzK/droYrAdZ128jgAriGABZnsACR\nOBSpA9EjqxGwzj5Mu9OC4RgFoEQ27VzOlVUbUqZRhxd4SflbmY2MGYAYqwYr+lsdhPJmz4YhnPJG\nmT8g1jcL5FLSenL+ZGF7fz3yGKwypFe5NVglMQ+u5WK5u6y8prN84wQxQFkmFwDwH1/xH0cGDzVL\nPP+pDFYJTHQaw6T3OhsXAKWxiEot5RjtEAABEjNt4HcYrMselFjM1WPnTEpkyHqbJ5HTVRs9cp5j\nCY80uTDV5zSuVzJyk3VK+h54RoDvV57KAVguWYMLiSAHcTzJG8Zg5QUvtK+5McDkc3V5DVaQNKeo\nsqQtL8HmDBZdD848OZaJd73ihPz/GVmDlRxTP+csiZ9rqxbiaZb5RWteXCsGWARoHNOUElMCUqYi\nEWSgVKvBcqO1pHUnEwldUlYkaNyJSQQz2FP9tWEAi4Mefj+PGvfeIAAWjas79hWJd96jtj65bvcU\nLMNIbJTUIoDF6zlpc2E5AlhxDVa8oVH0+aT70bXK+36QDpUagwVEBjfkILjDYF2Z0BOn99713pF3\nvvMc5kiT/a9e/K+w3F0uVAuiB+/zRElaojZkAgCIA7qJuAjm9OfZSlimcJDLYpg4eBs1cSWZJq/n\nKRMApV0DHUSPE3TfpF2DsmpnKlYlu86uhOQ7tU+Vdg2GNY3OizQAlDDRGOM5kzVSOQzZuBK+ml1L\nt4HPcLrcalTtKvpBX3Gf5BsZO3F5g5Icbo1MwIlsji0FYDnSGIEDrNmMGixKjvLYK0CXElp4yXXZ\nTbfjGiwPPc+XGyeA2lunMaQGKy+UGiydwarFoBGIwIKfZLCqbH3yGKyKLZonb/Q8zHmq/DAt8hgs\n/ZzzxuEW4twIgK7FsPorOX/HArpqDZZtGcxFULyPSwT1GiyapxcE8PxIIqgl4KMxWFENVpskglfG\n5KIowBIs8fhzvO/kbkxXbdlQWpUIjvbZ/Z+/O90oKX4+GIPlqAxWPaUGq+j1lM+bvfXcNyvoOdEb\nDQNx7WfVsWT943aJawdgacn3PQfvGXks13Iz5W+UyOxr7MO+xr7Rxmc26nrTXt3WmTeHLRp5Ej7d\nPr1MkwtuQz7uznqaEQiNT4DIMqyR1ofGDxEq9SxlFvenMUyTACdbMbnYahB7wkFomQxWWh1Zmdcg\nrU+VznSPY5aSxsCluSCOOj6QzmB5oVdKQ3JAlZrWTMH47fTBunJBMjre54bYk81e0uiAJ0WpNu0J\niSAljvnPL99hv/fkYqYhgJhzzPgI17l0owG98etWggMiOk/6KQGIZcIwqA9WSg0Wlx3l1GCRCcFG\nz5OsT15B/62H5/CGWw/gjbceSPyOr+MwiV/DteMm0Ox4ozBYFFwi6PkhwjCU/a4sw5CARwCpZA0W\nbzTMwaJhDDctSYtJM1h8fdPGpvuxKMBKq6sbJXZNVfCx99wnwQ/dF9TDbZTIkhZOVWxUHVO5Z6ta\n/RxdO7UGq9i1oOOm2a2PGvqx+f1PLRquW2yMRGhMMq6Zb8gyZS2O6WRKBEthN3h9jpM+/oHGAdim\njd313SOPr8vHvMCDRcWDmhRxS+ObbP4sFIngmImlbdqpJh30O0D0cypi1501PgC1yS0lx+b44CEN\n5OrJ/ThB4CTNAKE0BsuMk29KxMs8BwmA/KSNehnXIA2E6r3IXrL/JVjuLmO+unX717ReYQkGa0yG\nqWbVsN5fV17zg7iWUgdyWw3OwpGkukymdSc4LuLFAAAgAElEQVS2FrFEME4AXdnbKHr2sgBWCoOV\nqMGKwMiwpM4yDVmYnycPBGIWYlOaXMRjO5aoJesOgpEScgq+HjQOmS7wJLhim+h7gcLGUFBCaBjD\n616mKjY2lD5Y2Yld1bHw77413RiHswjDABK/lgqDpTF0w4In1jHAIjOLuKbKsrhNe6jUrREQ8nzu\nIshkixV7NPVONI+V9mRMLtwhDBYxR3kMJhCv+bj1V8qxGStM513E4GKr8Z77b5BufBT0vBOD1Shg\ncpEV333XURzd1cCRhfrwNxcMfmzHMpTnlsDwdqu/Aq4lgFXizneqy1+J7EOajTo3cACAt9/4drzp\nxJsw7WZ3nM8KSr7TGKyybOaB9EbGwPgSQTrGsGbPv/qqXx2ZSeEsYhUiyZyERDD1Gpcwvm3aMGCk\nGoGMYu6SFhyg0L8nIXNMtWkvA8ClmFDoRiNvOvEmvOnEm0Y+RsWqpDJY9BzrTNNWw7Xc1BqpMsx2\ngHQnRMmm79RgXfagZr5cCkPJUZpVN5fy6X2wxHvVz8fZejEGi8bo9H3cd0P+Jh+BiNUMp7xGxUZ3\n0B+LrXBtU7JK5JZYkyYX8RrYphlJBGM2hoJ28Rca7lCziOmqjScvtWW9UVH2SA8OIIZJ/DgY44wh\nmXhkGWToUVEAFrWLoCbMYdxo2DDgSCDFQWk6g8XnNzWCPJDPQzJYY9TlpQUHoWljH40aAV+/J9/u\nWzaRHvE8hwXdF2UCOIo0OS8978vtPgwjvkeI7eoOAkwXrKk7sWcaJ/ZsPS/NC35v6cwYyYO3W/0V\ncA0BLEruS7HAtpIW3pNIvhV2Q5MIGoYxErji4yd6eQVx7cbJuZPY39hfuGdR2viZfapMC4u1RRyY\nOoDnLz5/y+PTMfIAHB1n1EiTOU7ahEJvVj1OGIaRLh8LvFIlgkC6BK6M5DuthqlUCWKKi2CZDBwg\nzqHjdeLxtfolAqajbGQAcY2UbohTlgSRrgE/hzKfg53YWhzd1cCvf9cduOlA7LglTS7IRZAl2pzd\n4DbqZLiQZLCK1WABoh8Vt5bOCkoWlyKApbuLNVwbl9CXjNOosdBwsdGLjSfiejUGMqOmzB4DCxQc\nYA2LqYqwRpcOjSMCLHVnfogss5KeZE5vsQaLM1iy0TDVWgVqfZqdxmAx6eAgCGXtFj+XUZoM83P4\n2IPnAAAH5rZuRJY7/hAG696TwjL88BD2ZXYCDBYPAqhFDS7GDbr3w1DcZ8Q+GoaBxakKnlnpFNp0\nmVQo97523e66fhdO7p3CN92Yz6RfibhmAFbpDNYEJYKT3rnP6uXFazcOzxzGh9/04bHGz1ojcvf7\n0Bs+NLJmNk8iWEZyn2YFX7bMFFBBaNnSK9dyUxtil2nTDqSzG2UCoIkxWCl9sMq+BhWrki5BjK7B\n/Ufvx1p/DbftuW2k8TkLRxK+tFrKUc+nSK+wnbi88dITah8oJ0qYu2RyYSQlgjpgWpxyYSBZ29Bw\nbdRdS3Hly4o33Xaw0HwpkaVeTjrAouQprfHrVmKh4eL0UlvWXn3biw5jvu4o9s+ubWLgqXI3CgIt\nuxrDGX5at5V2H5ZpZPYAGzqOIhHMH4MDmEpKDVbRxq6KRDD6NwHEgRekmlx4gSqrtCWDFZtc1Jz4\nXEYxuACELBEQEsFve9FhZSOhjFAYrBTG1DCMoeAKmDzAmq+7mK05uP4yNc7lNU36c3jfDbvx1KXN\nK1rfxMGwXu95fLGBD//g3Zd7SoXimgFYtDNdRuJnm3ZuE92xxzeSLnyTkCCmSezKSL7zGhkDKgs3\nzjE2BhvKa9LkAuN/EKTaqJeYWFLiOymJIJCUpwFqj6RxI8uGHCjnOUuV8JUIsFIbGec0Sh7pGHYF\nq73VzPH3NfbhXbe9a6zxAaDnMYAV+LKW8ob5G3Djwo24Y+8dI42fxiKWzfLtxHiRb9Me1VRpu89z\ndRe/8p134Po9qqzGNA188J0vVlz5xg29P5LO1Nx0YAadgT8yC0RBxe4ElI4tNvD9L7teeY9jmegN\nfNZomNVgRTbjCwXAJQGIpc3+yPJAQE1mh0n8OCDglvLT0lp/BJMLM3YRBEQNlmJywWutUkwuBn4I\nPySJYDynUWunnOh63HxwFv/yNcV7JhYeP6XmbpSYNMCqOhb++N13l27ykXc8Cl06+a9ft3UVU9mh\nNiS/er53rhmAFQRq8fo4keoiOAGHOZ7cT8IAIS35njSAM2GWkrw6loNBL8OmvYRrfNls1P2Ua1xS\nbUtarSBnKccN6TA3IYZJMljBZJ0WFROKoLx7CBAA5bx3PjF+WddYAiDNSIPWf7G2iN96zW+NPn4K\ng0UgeqcGa3sEsVNtqsGykgxWGni55+Ri4jUAuQ0/RwlKjpYjBktnWt77hpvgB+HYO+SH52swjHyJ\nn2sZWOsEsqkuXyvJYOU4CFIQgFhtD0ZmawBx7RzLwMAPh0r8OGippvTBGlY3Jo/JkmkCHLEUMIAf\nAgYE2CaGS5dV0lyDIG5AXHeTc9pqvLy5G49f3MBPvf6mUuzP9bBZE+5RWUcAuP3IPO67YRGvft5o\nTtFFosh9WFZwgKVL8LZDKJsLJboTTjquGYBVZvLtWi780FdqHa6m5D6tT1UQBqIBagnjW4YlDBZS\naqTKqC8CBMuXZuBAxx97/JQ1KpsF1ccvW3pVsSpY6a0or4VhWFpinMUAGTDKYbBSbNTLBHCGYQgJ\nnzdZiSDvp1ZmDRmNDySvQZnzB5IMVlnXeCfGjzwXQVlTdQXrJ8i+myzGdYmgYRiJflyjxA+8/Hp8\n8/P2Yd9sdi8cqsHyU2zaK1IiWKQGS3xHhyguzcuKRsXGSnswlIGiJNM0VKkb1ekUZQAVBkuTCHq+\nYLAIfNjMzILLKiWDxW3aWRI8KoP1wmMLeOGxhZH+tkjQuo3bX2uqYuM/vX00VcB2DF5fVbZzYxnB\n6zOvJoB1zXxD6iYR4wTJ6NL685TFziTGL1GCmMaQlZ24pjVjDsJyABwg1ogAD0WZ1zi1RiookcEy\ns69Bmcl3GoNVZo0XAAWg+OFkJYh6r7NxQ1+jsh3yKnYFAQI5btkGESQRVEBoiTLQLJZvh73aPuFq\nJhdc9lbUdn2SQWYTxGA5YwKSrJipOrj18Fzue0S/p0D2r+JrdTSqvblh73DzKO6SV9S9LytIkjWs\nBosS36pjKZ9/cR+sEWzaNSBFTZjp/x3ObDFQahgCZPlBIE0uaoqz4eUxZ9hq0PnUSnYnvNqjss0Z\nLNM0JLDakQhuwyibwQIm18MoLbmX0qUSa6TS2JOyErMsE4qyxndMB17gpTa5LUXmmOciWCbI9ZMs\nZVkmFI6lmrGEYVgqyOVNaCl4D6ZxI68Gq0yjjo6fdMibBMPkWE7pAKtmiborvVdYWQCI6rp0FnGn\n/mr7BLEP0uSC3bqyBmtCoKZIuLZoarre9bbFXAZ+XGfEmbM7r9uFv/iR+xQL/KzgDMi4tWNkXqFb\n5me9T0+ACcxYBdUhfP3thERQ2LTTd6riIihrsOLeWWItkZjXqDbtkw67JAbrH1twyWljmwKYqYqF\n7sBX5rrd45phsMpMnNJqQ8pkN1IBUJkmGikOeWWCE0CskS4RLDMx442A+fhASSxiSrPkMpPjPIlg\nmcm9F3hy3LKvMTdYoAjCoBSTESCfwSprjap2Nd1mvmyJXQSAynyOgWwWsez56y6COwBr+wTJ/6gG\niyfasYvglf2q57vO45hCjBsEDjoSjKqfVftna4XYcW5DXoZEEAAce4iLYMS66AnmTM3GK07tGdrw\nmUJtNGwoP8kt0NaYLY/VYNGaCQYrtmmv2Kb83XaUmQE7DFZWcIlgfZuuDc1rOzJsWbE9V3ICUapE\n0ExKBMs0KEizUS/T/jqPnSmNPcloBFwWu8FBKJ3PJHqRpdbBlcFgmUmQXrbJBZchWqZVOjhJO4cy\n2ZOs5B4oESRaFSx3l+PxS2S6gSQLJ0F0SXtbsk4tw+SirPH1Plg7EsHtEwSe2qkugluz8J5UNFxR\nZwRcWbAn1yoCo86INcEcQBSV5mUFAadhDBaxQlUtwTQMA7/87bcXPp7aaNhUfpLJhaVLBFmtlc2a\nE3vR66YR9V60TXT6/ljGH5MMulbblaW5UsHrmrarBI8Y3J0arG0Yl8uEYlISvjLHT63/KTlxTbOy\nL7PJ7aQBUKrJBYHcEh6byyER1Bmgy1L/Mwn2xJuMTTsgAFAagCvTph2Iz6F0FlEDoWWPTwBLrzfd\nYbC2T0jQMEi6CM7XXXzTjXtw/02TczsrElk9nC53ENDspDgubiW4ocO44HVK1lANkQi65bCRaQBL\nNhqO5JOWbt+ewmDZliFe90MpJSS55HatwSIQu11ZmisVik37NmUfaV7bFQCmxfZcyQnEpG3UJ92n\nqszEL88hrzQTCtPB5mBTea3M5DttjSZhcnE5AZy8xiU5LeqNeifFYOlM6CQd8kp34bMrGAQDadxQ\nOgjVzqF0gKg5LU5CZgqkMFg7AGvbhGuJa0F22Vz2ZpoGfunbirMbk4qGwvhcSYmgWJssiWDR4AzN\nuOdDbMowm3Zaw3H6NwHqfAlAEZPnRTVVNBc3xeSC3sslgmYkq6w4JtDZvjVYZLDS2KnBUkKVCG7P\ntaENhnHv/8sZQ5+CZrNpAvhPAG4F0APwz1qt1mPs998F4F8CWAXwgVar9RvR618EsBa97YlWq/WO\nkue+pSiTwUqrYSrTwpuS+0lJENPYk7IZrLQ+VWUaLKTVYJVZP5NqNFJmj6ccF8FJmVDQPVQWQ5Zm\nQlGmDNQyLdimPbFGw0BSRjmpa0ASvkkzWJNg+Pj4QOREeRVIBJvNZg3AbwPYA2AdwPe0Wq0L2nt+\nCcA90e8B4E2tVmsVV1HoDIpVksNmmcGTtitpGS8t7XuUD1x5gFWXNVhDJILSRbA8BsuVEkGyXQ8U\nm3beUJh6h1lWXJ9FEkH6expv29ZgReezw2CpoZpcbM+1oc8QXSK7naPISr4ZQLXVat3VbDZfAuAX\nALwJAJrN5iKAnwHwAgArAP6y2Wz+FYBzAIxWq/Xyicx6hCiT3UhLjqW8q0QJ4uV0ESybGbCNpETQ\nD8tzmMszApl0nVopAC7Fir9sgwVdIiiNWEoE0Xx8oFwZKABUzEoqg1X2OfSDPqqoTrxPVZm1lEAS\nAJV9D6X2Irt6JIL/HMDXWq3W+5rN5rcB+L8B/LD2njsAfHOr1bp42WdXUuiSsTJ6SpUdiqTOunL3\njgRYA6pXG+05VM9nTIkgAawhYG+u7mCqYuPQfH2s47ksmZb1VMRUeWRyodZm+awGK2awTAwGPvwg\nlECM7sXtymDRee7UYKnBjSPq25TdK4vBvZxR5JPhHgAfBYBWq/UZAC9kv7sOwFdardZSq9UKAHwO\nwEsg2K56s9n8WLPZ/HgEzK5olGpQkCcRLFGCqNhfh+XJx3IZsgn2qfIDv1QLciBDIlimTHNCLF+u\nTLNsk4voHMpkWQHGkGkgsSwDB0A8C6l9qspm+aJjyI2MkjYC9PHLrrPTGwGX/RzTZ1HCBv7qAFjy\nuwvARwC8iv8yUmecBPDrzWbzk81m852XeX6lhM4IFbXrvpxRpinEOEFgaOwaLLbLP7aLIEkEh8yl\n6lj4X++5D//Xa0+NdTw31eSCXARDBCEkgyWZLdY7jG4vYdMuarOkpNDe3jVYdD71bcqwXangmwTb\nlcGSbQquIoBVZCVnIOR/FH6z2bRbrZYH4FEAz2s2m3shJBbfBOARAG0A/w+A/wLxBfaRZrPZjP4m\nNZrN5vsAvHeksygQXujBgDExC+9SXQQvk4kGB0BlJ5ZpfaomYdPOr0EYRjUIk7JRL1MiOGGQDuQY\nIExI/kbHoHMrI3SAVTbDpD/LpUsQtTo4Gr+sRsn6ZkzZLGVWL7LtJhFsNpvfC+A92svnEX93rQOY\n1X7fAPDLAH4RgAXgr5vN5udbrdZXJznXskOXqI0qe5tkcElW5QomSI4GsEatwbJMAzXXQqfvj+8i\nGCX7RRoWz9bGBy6pJhdmXGvlBbHMO35d9Mfir8kaLGZysXu6grOr3SveFiArCDyUsY7/mMI0DVRs\nEz0v2LY26LFN+/a8t9KiSDa9BoC3NjcJKLVareVms/keAB8CcAnAFwFchABZj7VarRDAI81m8xKA\n/QDOZB2k1Wq9D8D7+GvNZvMYgCcKnktueEF5dQOSAdIarALlysdSezCVcA6WacE0zInK07jMkduo\nl2XgkAYSJ9HseVJGI2kgvfRroEn4Sje5SKvlK9kAwbVctAdtZXxgciBUSvhKuk8TDFnJ7RB0l7+y\nGawsq/yy5l9WRLW/v8Ffazab/xPxd9c0hIydRxvAL7VarXb0/o9DqC9yAdakNwO3GnoyOypomGTw\nxq5XlMEiF8HBeDVYgKjDEgCrnD5Y40oNi0ZqHyybAamA27SrLoIGmIugGTUaDkNZ9/fv3nILNvpe\naRtIZcc9Jxfx0298Hl7z/CvrqrkdgwDWdq2fe9GxBXxs9zmc2jdzpadSOIo80Z8E8DoAiKR+X6Nf\nNJtNG6L+6l4AbwNwKnr/OyFqtdBsNg9AsGBny5z4VqPMuoGsxBIoOfmekEMeHWPSLoJAEqCU2WcL\nSAIUE2YpH+5pdXABymMH0safVHKsszNl93iapHzMtdyJ2qjrmyWTtsonhqlsJ8dEn62yailNGyZM\nxSr/ajG5APvuAvBaAH+v/f4GAJ9sNptWs9l0ICSFXxw2aKvVel+r1TL4fwCOlznxrYQuUdv2DJZ9\n5RmsQYrj4lZjmoBRSY2GL9d14/OVtVZKQ2Fu0x65CwYhPD+QBheAWLsgDJUarNm6g4NztctyHqNE\n1bHwv91xaNtakV/JIPOI7cpgvfj4Av7o3ffgwDa+v/Qocpd9GMD9zWbzUwAMAO9oNpvfAWCq1Wr9\nerPZBMSXUhfAL7RarYvNZvM3AHyg2Wx+AkAI4J158sDLEWUmfnkGC2VK+NJqsMpk4SZlQQ5km0SU\nmfglxg/KY8jybNTLkiCaMNUmvVdZ8p3VELusawCk3KclglwguVlS5kYJkDTEKb3OTpMghqDEsZzx\nDcNIBbllGplMMH4FwAej76E+gO8AgGaz+SMQCos/bjab/w3AZwAMAPzXVqv19Ss22xFDZz62I4O1\n3fpgAWKdxtmMoyR9XAaL2L0iEsEyopLCYNlKQ+HYiZJ+39dqrcTvzKg2K8DMNjW12IniQRsf27UG\n62qMoSsZmVf8gPbyw+z3Pw3gp7W/kV9m2yW80Ctt557GSZUITojdKLs+xzGddAOHCYLQSYBcnQEq\nnaWcoI26YzlqA9eSQbRenzMxG3hNalomg1WxKuj7fVnLN+k6tUlLECdVB6dLHMu8BlW7mrTi32YS\nwbSIpH//JOX1X2T//nkAP38551V2GIYB1zbR98jJdvuB3+3SB8u1OEAYD4hOlSTtu373FI7uquP2\nI3NjjVM0CGDZVgwwuRQwCENpZGHL/liBwlSJ3xkIQ1G3tR1B/U5sLWqRWc52dRG8GmP7f0uWFJdL\nIjgpC+/Sd9Ytd6IOdll9pMoen59DGIblA8QJXWNAAHW+PnQuZcvTdIe8SdnAA+WylIBggEKE8EIP\njuEgCIPSzGqA5H00KSZXZxHLBtGTAoiAAHF6H6yrhMG6ZsK1YoBlbUebdkUieOXuHQ7uxgUFZEU+\nLmCcq7v4sx+6d6wxthJkk8+BuKM1FKbf2cxd0GOvA7FbZd/bAVj/GIIYrPpV5NK33eOaAViTMLlI\nlQhOqg9WycXxiQauE2KwpHQpDMtlsNJs2ktM/PIkgmXKxzgLSmtFxgVjj5+RfJdtNKLIHEtmsLgM\n0TGd0pN7fY0mZQOfkCCWZGUvGSxPA1gl1khVrAo2Bhti/MAvtZn0TpQTFcfERvRxvh0bDSt9o7aJ\nRHBcpm9aNgjefuudF7QGnMGzWUNhPwiZTXtcs+b5gWIlz/9mB2Bd/fHq5+3FwfnaZZOqXgtxzXxL\nbgw2MFvRXXpHi8vmMJdW/1Nij6SN/kY8fskMmX4OpbM/EdBUTCiC8hK/NJBL50JJ/9jH0CSCHa8D\noDyANWl5mmmYcMykzHESAKjv91F36hMFcMBllAhOSgYalAvgAHEOlzqXAMTnUdY9uhPlBJepbc9G\nw/H9vm0A1rgSwerldf8rKyoSYPG1EP/uSZlpUjroazVYlqXWY+3E1R3vuPuK+fT8o41r4qkIwgBr\nvTXMV+ZLGU+XXgGTkQhOUp7mWm6qiUaZDBkQA5TSAVwKg9UP+qUDLD4+AaCaXY6LDfUKoyA3PnLn\nGzf0Hkb0s9Q+VaabZClLZE/SjDrKBHCyjix6Fuh6lHYfWSrLV/ZzbBomXNNNMHBlbQIAkUQwEOPT\nPVrWM7AT5YTKzGxDgFViY95xgrNW465ToyQXwcsd1JiaM1gEEnsD+p4mK3bGYGk1WA4HW9vwntuJ\nnbjScXV9MowYa701BAhKZ7CU5NgTiQclbOMEJZUcAJWdHCfqfyIwV1ZiqZtE0PqUtfOdViPV83ul\ngZM0iWCZ1xhIOuSVDeCk/M1TAVZZa0TH0C3Oy7ZpB9QaqVLH1wCcvMZ2OddYNwKhn3T/lhGcCZ0E\nAKrYFXiBBz/w5b1U5j20E+NHRXPH227BC+evJONT5jpNV8UzfLWxNzRfJ4X1JAaLfiUZrIBMLpI1\nWMD2BPU7sRNXOq6uT4YRY7m3DACYr5bMYDEAtNpfhWVYaDiNscfX2R8AWO+vAwCmnKmxxwdEUjYI\nBgij7uxtTzRzLWP+QLIGq2zwINeINRruDDqlgxN+DTpeBxWrUq7RCAeIUfJaVnJPa0FJN4GIsgAi\nEAGs6BpLCWWJ4EFni8uspQSSTCitVZkgGojXvuw6O0CAHQmwSt4E4GP1/F7pMtadKCfKrC2aRPDm\npVcSYJW5TvN18WzXt2nfoKzgLoIUBKS6sgGzeI9hGLBMA54fwguC1LotYHuC+p3YiSsd10QN1kpv\nBQAwVynHBlUHD4BgyWbcmVKa3MoeSWx8KjKfccvpYs1ZOMdy0B4IgFV36qWMr4PEScjrgJjBCsMQ\nHb8zUYas45UH4OgYCkNWskRQBydls4h0DLp3JgLgtD5SXb87EfDAGSYDhjxu2eOXDeAAtRkzXeNS\nGSwGsCYx/50YP3jz3m2Ir1BzLBgQdTvmFUzG01ibUeObTu3Fv3m9j1fduHfcaV3WcFNqsBytBss0\nVfDV9wN4mpmFpYCtbXjT7cROXOG4Jp6K5W7EYJVUg5UmEVztrWKmUg74AWKGiYIMKabckhgsrcZo\nc7AJAKjb5QAsffyJAaxo/EEwQBAGpQMszlJ2/W7pAKsf9CWLWDY7QHOlcSfFYCXkdSWPD6gM0CQA\nHAehruWWslECJEHuJEwi/v/2zj5Isqs877/bt7tnRrO7I62+VosUSwZ0ZAkJgSGFjRQ2JbCEiUq4\nCKEsPoKMKWMonEDK5SoMhahQRRmDbEhiXGAU/FEu49ghoXDhwgHLhaUolu0EixCfRClRjsACJHZ3\ndr76O3/cPt23v3Z61eftntv7/P7ZnZ7p0+fe/rjn6ed9n5OPUbd4jgcEloGAE7MzIBwO4GI3SRLW\nqunCAyEmOTDPhLVqyj978VUDCYlFIDwHlXyJX/e2voM16E61ejHt6sESYloO3iexAT0HazWSgzW0\nT1W70+ZM/Qwb1Tg9XpA5QHmBdaaRlQhaCaDYJYLDvTNWDpmVgBtXphndweq+jkKZ415zL3oJIoy6\nJ1F7sEr9/dTC41gIrPwxxCqhHDd+vVWPen6GhbpVCV8QVhYlfOMElkoEDxYhuCDh4C52D62WFx4I\ncdBLKedBkiRccqjKxYf6Ln0QS3tDIReQiffGmI2G1YMlxNkp1lcvzxArByssLLcaW1FDNMJj5AXW\ndn2b9fJ6/Hjn7sIylCDGElhBoFg13w+7iL2FZaTFcZqkJCQjIRcxF5b5MsRKqRI1pAP656LXg9W0\nc086nY6JezIsUKILoKGUv9gCrlwqkyZp3+WzELm5PjiLIJPwfO4199htqQfrIBL6ag7iJsOBG5+1\nwU69tdA5VCNuNFxkfvetLxlIduw7WIMhFxAEVrYP1qQSy/P5XAoxifNCYAUHy2ofrNO101HHh8FF\nE2QhF7HKA2HUoYntMA0LoDB+NIE15CLGLl1KkmRA5DbbTRrtRvQSQRh04aycB+gv7mPGtPdcuHaz\nF+Udc/x8D1Or3aLRbpiWCIb9tmKSDzOJHWQC2TlqdVo0200ThymMVW/VlSJ4QOkFFxzghe6vvu5m\nutXQCyPmPlhF5viFg9exSi9FMOy3OehONVpt2h2GHKxcueV5fC6FmMR54ZEHgRU7RTAsmjZrm0C8\nAAoYjVHfamxFFVjDUfA9gWVUghjbwRreaLjnDER2mML4VhHnMBhlH1M8pKWUSqnSW3RbBiDU23UT\nhywfKBNeq+YliJEDHPIlfFYhF5Adg+X4e609pQgeUIIzU4rUO2hBkiw24ALGBzuI/rkY52CV09JI\nuiCoB0uI/TgvPmFO7RmlCHYXfCYOVq63pd1ps93Y5nDlcLTxh1PyQshF7Jj2njvTiBxyMRyvbSAe\nKmmld35i93jB6HMQu8cLBkMorDYaDmNbhWjAoICL7f6E8SF+iAaMfw4sSviseqTCXPMCTg7WwaJa\nAAfrIJAXVQdZjM6b8LoJDtaAkEqTicKrf//zYikpxDlxXrwrTtZOsl5ej7awHCkRrMcXWJVSf3G/\n09ihQyea+IFRgbLT3KGUlOLt/5PON0XQSgCFhbfFN/f5Ywg9TLGdgbXy2qiDlcY7R3n3JLhAFiWC\njVbDxJ3JO2QWJYgw+GWJhUjMJy2apAh257rX2lPIxQElxLQf5B6sg0C+RLCic9UjLSUk9B2s4ZCL\n2hgHa6BEUMJeiBHOC4F1qnYqWoIgZKVXpaTUE0A9BytiimA+pj0EUByuGjhYuZS/C8oXRIun7qX8\nGTlAk0IuYgqsfJmmpYNVa9WyuHY60T3j1LYAAB4KSURBVJ0BcwcrJ7BMQy5yAs7CIWu0GiYliGG8\nfIlgKSlF3Yw536dm8TrNj2/hwInZCT1YFTkJZ0UhF+NJkoRymuR6sPq/S0sJoXWurI2GhZiapf80\n7nQ6nKqdipYgGMi7G0FgRd0Hqxuw0Ol0OFPPItoPVSL2YA31nmw3tuM6ZBNi4GN98z0c027xzXo+\n5MKiBDGc793mrpkzsJau9Zwfiz416xLBfAmfZX9RrVUzcZcg+7Ikn/IXXUTP6TnYa6oH66ASnJlF\n9zgddPKulXqwBimnJWqN0Y2GJ4nSSf8XQmQs/SfMVmOLZrsZ1cGCwcX3Zj0LuYjpYFVLVTp0aHaa\nPQcraopgCIno7sG03bQVWGFhZr2Rcew9jCwFXEir22psmS1cByK8m3Y9Uo22UQlfmnP5DBysfD+l\nxfzDePVWtqF07CAT6AvCertu8jrNO1gqETyYqAdrOsppiVCkoXM1SCXvVE1ICBzYaHggsn3pl5JC\nnDNL/66IHXARyEcvW4Rc5GPUt+oGJYK5mPNOp9MrEYw9/ogAirQwGy4RjJ1SCN3Nng1DLoIjud3Y\nNnHIIDvftVaNdqdt6zAZ9WANCDiDxX0o12u0GiYCDrJj6NDJouwN+ux6IRfNmolI7DlYrT2FXBxQ\nej1YEg370tszTOdqgEo571SND7BI1YMlxNQsvcA6Wcs2GY4tsPLuhknIRU4A9RysiCWCeQeo3q7T\n6rSi7v8THLK5O1gxSwTTSs/h622wGnFhuV7NHMOt+paJ+MmPFxLgVtKVaH12MPg6NYmyL432eIXb\nYj6GpYOV3xLBokRwoIyy65CVkngf7XKwDj5ysKYnCAbt3TRI3pFKB0Iuxv9fPVhCnJ2lF1ix98AK\nDJQI1jZZTVfjbuCaExAWAqvXe9KsRY9oz48/HBJh1YNl4TCtpWvZBsOtRj9mvhKxB6ucne+d5o7J\n/KF/vveae9Sadov7fP+PiYOVSxGMvbgPPVJWDlb+HO02d6OeHxh8L9daNbMSxAEHSwLrQCFXZnr6\nYnTplz/nxMSywCl6sCTshRhl6T9hTu7ZOFj53pZTtVNR3SsYLIELIRcxSwTD+ThdP93bZDimwMo3\nxkMmgGJ+s54kSZby1+puBNyM756E871Z3+yXIEaMOA89dVv1LbPSq+HyLoseL+g6TAYbDecDHCxK\nEKGf8mflzgwnLcYW0cMCLnoJYilXgtjcI03SqCmIYnaC+yDRsD9y+8aTd7DyRQ6TXKuKEhmFOCtL\n/2ncc7AMUgR7JYK10yYliJB9cx96sEJJWQyCo3dy72TPwYrZgxXESRCHu83dqOPD+H2qYjpM+WOw\ncJjC+cj3YFn154TFvVX5W6PdMHGw8r18vXMUWYSG97J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JPVjDvVblUkJaSsyuvUIUGaUI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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ts=y.copy()\n", "ts.index=ts.index.to_datetime() # remember that the decomposition functions only work with datetime\n", "decomposition=sm.tsa.x13_arima_analysis(ts)\n", "seasonal=decomposition.observed/decomposition.seasadj\n", "\n", "\n", "\n", "from forecast import plot_components_x13\n", "plot_components_x13(decomposition)\n", "plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To better understand the seasonal pattern, the next cell draws a seasonal plot. The number of journeys peaks in March, May and August, and is lowest during the summer months. " ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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7kddshQVY3W5sBQW9ehQy7PWy/ZbqyOOvCfo6ZZIDFnml1C+BHwAXAUcAryul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\n+vbbZsfZjxT5NOWLPh/vlPl4IYRIa3s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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "months=['Jan', 'Feb', 'Mar', 'Apr', 'May', 'Jun', 'Jul', 'Aug', 'Sep', 'Oct', 'Nov', 'Dec']\n", "\n", "fig, ax = plt.subplots(figsize=(8,5))\n", "ax.plot(seasonal.groupby(seasonal.index.month).mean(), color=red, marker='.', markersize=15)\n", "ax.set_xlim(0.5,12.5)\n", "ax.set_xticks(np.arange(1,13))\n", "ax.set_xticklabels(months, rotation='-90')\n", "ax.set_ylabel('Seasonal index')\n", "ax.set_title('Seasonal plot', fontsize=13)\n", "sns.despine()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is useful to save the help X13-ARIMA output for reference. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "f=open('x13results.txt', mode='w+')\n", "f.write(decomposition.results)\n", "f.close()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##ARIMA\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Identification\n", "\n", "To identify an appropriate ARIMA specification for the series, we start by creating a data frame to store the first differenced, seasonally differenced, and first and seasonally differenced series." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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originalfirst_diffseasonal_diffdiff
Month
2014-1126.842-0.3680.2790.347
2014-1225.410-1.4310.5880.310
2015-0123.792-1.6180.8890.300
2015-0225.6361.8441.0720.184
2015-0331.3855.7492.6581.586
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" ], "text/plain": [ " original first_diff seasonal_diff diff\n", "Month \n", "2014-11 26.842 -0.368 0.279 0.347\n", "2014-12 25.410 -1.431 0.588 0.310\n", "2015-01 23.792 -1.618 0.889 0.300\n", "2015-02 25.636 1.844 1.072 0.184\n", "2015-03 31.385 5.749 2.658 1.586" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df=pd.DataFrame(y.copy())\n", "df.columns.values[0]='original'\n", "df['first_diff']=y-y.shift(1)\n", "df['seasonal_diff']=y-y.shift(12)\n", "df['diff']=df['first_diff']-df['first_diff'].shift(12)\n", "df=df.dropna()\n", "df.tail().round(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Taking the first difference reveals a slow decay in ACF at the seasonal lags, suggesting the need for seasonal difference to stationarity. " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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yX44tcfAeMBDZwb5gUQtjYfP3JckyYDYTMk0pM7JBVtAwsC6Kg9/kBNo8p5Nx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QKwVuiQcWRzNlIOVhoHVr2AVX5mxAA2XFtDuL6u1WWQz3QxPZsgVZp+SmmaOfQdpmCJX7O8wFmH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\nw8PD46ChrtU0yFiRmgVJHouHD0Y8PDw8D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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ts_plot(df['first_diff'])\n", "plt.title('First difference')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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XMPueutdd83ytweFRfrZrP7sHhg5vEld70ZgHmRhJkqSsNWsCuO681bzn09dR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\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "acf_pacf_plot(df['first_diff'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Taking only the seasonal difference leads to a still clearly nonstationary series, confirming the need for both transformations. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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SnBGCGBbk/qleMyM9iRHHcZYAwLbtMXBR8s5297Ft+0YA7+nl+QiCWH9kmaY3Z8QNlWmy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\nmZFeyjQiwJoxM0buKopOYZVDz8xKthhpHj4Ma3I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V7uFWfxgDEmBdyZwRGV7N794Fs1LJ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YCiKFBZqSasTAO447324qK3e4ecEYIgCCIBOhES9wF403odSJQzokh38cWnxxcjvAkz00HGiPsE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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ts_plot(df['seasonal_diff'])\n", "plt.title('Seasonal difference')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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SJElSTkywJEmSJCknJliSJEmSlBMTLEmSJEnKiQmWJEmSJOXEBEuSJEmScmKCJUmSJEk5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\nUIU1euIDjpz4rr7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "acf_pacf_plot(df['seasonal_diff'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next figure shows the first and seasonally differenced series, followed by the ACF and PACF plots. The ACF and PACF plots suggest the an AR(2) model: since the autocorrelations decrease gradually, while the partial autocorrelations display a clear cut-off after lag 2. " ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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HlmZwywRpM7+QL1QjVmfWGdBzv3ejQTZ1ljXU68eKjLCy0Q4lI8MpIytERtjk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JCZpPKakaKUrRmZdDeN47oMREj1KFKmEbNpRpRpHMeRpmdSM2L6PGZGCJl5FiYYKa4ZmU43DSFV\nJLKDHycYCYMHWaaxbENt7e334+9VtxfTjPC6JGQWWZhgpLRuGjHYi+ZKZIGRU3vPYZkmbnoWXndG\nzQjLNITMOgsQjISzbUpyYLX9TMgiUUjAqpRpBt2uHIaZQMmMpGlGWKYhZPaZ/2BELJollWn07RKy\niBRq7RWD8rpdoNu1BxCuIwfgDXt96+epZRpO7SVkNpn/YER205RTpom2y2CELC5FMiOyTLOxnroN\nx61Frb29tNZemp4RMuvMfTAinpSK28GzTEOIQJoRjjENWwQPg7PpwQhqrmJ6Zp9NA9rBEzLzzH0w\nIoR2xQflsUxDiGD5mmuw83Wvw9Yf/MHc7xUBxWA9e2YEYZnG6DNCB1ZCZp7Km54VJeqmYWaEkLJw\nl5eD6bzjUBOZkbBN3qoZcRXNSA+o1YwzbOjASsjsM/fByOrNN6H7zW+iubZWaDsMRggpB8dxgFpN\nyYyYr6WYHXyvZy7RgK29hMwDcx+MbLnpJmy56abC22GZhpDycGq1aM5TxkF5tmAELNMQMvPMvWak\nLGLBh+saVf2EkGw49brMjNjacdXMCHo9s8cIWKYhZB5gMJIRNRhhVoSQgtTrwHAIYERmJHeZhsEI\nIbMIg5GMxIIRPn0RUgg1s2gNIFwnW5mmztk0hMw6DEYy4tRqsguAmRFCipGltOK4oW38YIBhv2ct\njcZae5kZIWQmYTCSgyIW2IQQhSxGZbVweer3gW4PaGQo0zAzQshMwmAkB9KzhMEIIYWIlWmyZEZ6\nPTh1SwtwnZkRQmYdBiM5YGaEkHLI1AHjhsvTYIBhv5+ptddlZoSQmYTBSA4YjBBSEhmG2zlhMDLs\nh5kRm2ZELd/w2iRkJmEwkgOWaQgph/g8GZtmJAw+Bn2g27VrRoSwvNk02sUTQqoPg5EcMDNCSDlk\n0ozURGakH5ZpbEFLEKTwuiRkdmEwkgMGI4SUREPVeVg0I47STTMY2Ms0oZaE/j+EzC4MRnLAMg0h\n5eBkmScjMiObm8HrRjiwMhghZHZhMJIDZkYIKYc8rb2DTif4hdVnhGUaQmYdBiM5kMEI2wcJKYTa\nATM6M9INXldLb+1lZoSQ2YXBSA5EEMInMEIKkqFM4zgiGAkyIyzTEDK/MBjJgXB3ZDBCSDEyDcoL\nXzNaM8LMCCGzDoORHMgghMEIIcXIYnqmCVjV98Rgay8hMw+DkRywTENIOaieIVYNliZgtc+mEWUa\nXpeEzCoMRnLAbhpCykEt01h9RtzATXXYYZmGkHmHwUgOGIwQUg5Optk0umaEZRpC5hUGIzmg6Rkh\nJZFlam9CM2LOjNR2bEf9wgvRPny41F0khEwOS+N+Op7nbQPwUQBbATQB/Lzv+/9Y5o5VEWZGCCkH\n6Rniuvbyi8yMpGtG3GYTl/31Z+SUX0LI7DHu1fvzAP7a9/0bALwewIdK26MKEwUjrE0TUoRM3iBh\nZiQSsNqfnRiIEDLbjJUZAfBeAB1lGxvl7E61YZmGkJLIIDoVAYZ0YLVpRgghM8/IYMTzvDcCeKv2\n6zf4vv9Fz/MuQFCueUuG7dwB4J3j7GRVYJmGkHJwsli4awJWm2aEEDL7jLy6fd+/E8Cd+u89z3sG\ngD8A8Iu+7/9dhu3cAeAObRtrAB7KtqvTh8EIIeWQxRtEmp6N8BkhhMw+4wpYDwP4QwA/5vv+v5S7\nS9WFZRpCSiL0GXHT9Fd6a2+NZRpC5pVx857vAdAG8D7P8wDghO/7Ly5trypKY88eAED9/POnvCeE\nzDYiy5FepglMzwaim6bBMg0h88pYV/ciBB4mVm++GQc/8xk0Lto77V0hZKbJ0k2jm55RM0LI/MKr\nOweO46B58UXT3g1CZp9a9tZe2U1T43JFyLzC5nxCyMTJUqaRmZEMPiOEkNmGwQghZOI4WTIjbtwO\nnpoRQuYXBiOEkMmTRTOiz6ZhNw0hcwuDEULIxHGkA2tKm3xYphmMmE1DCJl9GIwQQiaOEKO6WTIj\nHZZpCJl3GIwQQiZOpkF5jqYZYZmGkLmFwQghZPKI2TRpDqy6ZoTdNITMLQxGCCETx8k0tVdv7aVm\nhJB5hcEIIWTiyDJN2pynMDMyYGsvIXMPgxFCyOTJ4DPi6D4j1IwQMrcwGCGETJz6eecF/7/rPPuL\nOJuGkIWBVzchZOK0n/EMHPjUH6N12WXW10StvdSMEDLvMBghhEwcx3HQftrT0l8UZkYwHAbvqbNM\nQ8i8wjINIaSSiMyI/JllGkLmFgYjhJBq4jIYIWRRYDBCCKkmWjBCASsh8wuDEUJIJdFbeZkZIWR+\nYTBCCKkmLNMQsjAwGCGEVBJHL9PUGIwQMq8wGCGEVBNXK9PQDp6QuYXBCCGkkrC1l5DFgcEIIaSa\naJmRRHcNIWRu4NVNCKkkjutEPzQacBzH/mJCyEzDYIQQUk2U1l6WaAiZbxiMEEKqiVKWYTBCyHzD\nYIQQUklU0zPdAI0QMl8wGCGEVBNHWZ7Y1kvIXMNghBBSSdTWXqfemOKeEELONQxGCCHVxGWZhpBF\ngcEIIaSSxDMjLNMQMs8wGCGEVBNVwErNCCFzDYMRQkgliZmccUgeIXMNgxFCSDWh6RkhCwODEUJI\nNaHpGSELA4MRQkgliXXQ1NlNQ8g8w2CEEFJNXPqMELIoMBghhFQSh2UaQhYGBiOEkGrC2TSELAwM\nRgghlUTNjHA2DSHzzVhXuOd5KwA+BmAHgE0Ar/N9/5tl7hghZMGhZoSQhWHczMibAHzJ9/3rAXwU\nwC+Vt0uEEELNCCGLxFhXuO/7v+N5niji7gfwVHm7RAghoGaEkAViZDDied4bAbxV+/UbfN//oud5\nfwPgGQBuzbCdOwC8c5ydJIQsINSMELIwjLzCfd+/E8Cdln+72fO8QwD+FMDBEdu5A8Ad6u88z1sD\n8FC2XSWELBKO4wCOAwyHLNMQMueMpRnxPO/tnue9JvzxNIB+ebtECCEhYXnG4aA8Quaaca/wuwDc\nHZZwagDeUN4uEUJIgOO6GIICVkLmnXEFrI8BeEHJ+0IIIXFEZoSaEULmGpqeEUIqi+M4wX+wTEPI\nXMNghBBSXURmhGUaQuYaBiOEkMoijM9YpiFkvmEwQgipLsLsjKZnhMw1DEYIIdWlFmZGOJuGkLmG\nwQghpLI4jghGWKYhZJ5hMEIIqS5SwMoyDSHzDIMRQkhlkZN7mRkhZK5hMEIIqS4yM0LNCCHzDIMR\nQkhlEaZn1IwQMt8wGCGEVBdqRghZCBiMEEIqi1OjZoSQRYDBCCGkuri0gydkEWAwQgipLi59RghZ\nBBiMEEIqi8NghJCFgMEIIaS6cGovIQsBgxFCSGWRpmc1BiOEzDMMRggh1UWUaRoMRgiZZxiMEEIq\nCzUjhCwGDEYIIdUl1IzI/yeEzCUMRgghlUWYnnE2DSHzDYMRQkh1cagZIWQRYDBCCKkuIjPCMg0h\ncw2DEUJIZXFCO3jOpiFkvmEwQgipLsL0rEHNCCHzDB83CCGVZettt8JxXdS2bZv2rhBCziEMRggh\nlWXbi1+MbS9+8bR3gxByjmGZhhBCCCFThcEIIYQQQqYKgxFCCCGETBUGI4QQQgiZKgxGCCGEEDJV\nGIwQQgghZKowGCGEEELIVGEwQgghhJCpwmCEEEIIIVOFwQghhBBCpgqDEUIIIYRMFQYjhBBCCJkq\n0x6UVwOAb3/721PeDUIIIYSUwS233LIG4BHf93tZ3zPtYORCAHj1q1895d0ghBBCSEk8BOAAgK9n\nfcO0g5EvArgOwKMA+lPeFyA6gCQ7PGb54PHKD49ZfnjM8sNjlp+0Y/ZIng05w+Gw+O7MCZ7nDX3f\nd6a9H7MEj1k+eLzyw2OWHx6z/PCY5afMY0YBKyGEEEKmCoMRQgghhEwVBiOEEEIImSoMRuL8+rR3\nYAbhMcsHj1d+eMzyw2OWHx6z/JR2zChgJYQQQshUYWaEEEIIIVOFwQghhBBCpgqDEUIIIYRMFQYj\nhBBCCJkqDEYIIYQQMlWmPZvmnON5XgPAXQDWALQA/AaArwL4fQBDAF8B8Gbf9wee570JwE8C6AH4\nDd/3/8TzvBUAHwOwA8AmgNf5vv/NSX+PSVLCMXMQzCU4Em7yH33ff/tEv8QEKeF4vQ3AC8LNbQdw\nge/7F0z0S0yYEo7ZTgAfBbAVwDEAb/J9//FJf49JkueYha/fDeDvAXyX7/sbynZeCuAVvu+/apL7\nPw2KHjOu/2Mds7HW/0XIjPw4gGO+71+HYMH/IIDfBvAr4e8cAC/2PO8CAD8L4PsAPB/AezzPawF4\nE4Av+b5/PYLF75em8B0mTdFjdhDA//V9/8bwf3MbiIQUOl6+7/+mOFYILuLXTuNLTJii59g7AHze\n9/3nAfgAgHdP4TtMmkzHDAA8z3s+gL8EEAtqPc97H4D3YDHWfqD4MeP6n/+YjbX+z31mBMAfAvij\n8L8dBE9XzwTwd+Hv/gzAbQimBv+97/sdAB3P844iiPR+x/O8Wvja/QCemtieT49CxwzApQAu8jzv\nbwGsA3ir7/v+BPd/0hQ9Xl8EAM/zXgbguO/7fznBfZ8WRY/ZYQC3h6/9ewQL5ryT9Zh9CsAAwPcD\n+JK2jX8A8GkEmaZFoNAx4/o/1nn2TIyx/s99dOz7/mnf9095nrcFwQH+FQCO7/vC7e0UgG0I0r0n\nlLeK38P3/b7neX8D4GcQ/AHmmhKO2aMA3uP7/k0Inlg/OrGdnwJlnGMhb8eCuECWcMy+DOBF4e9e\nBGB5Ijs+RXIcM/i+/1e+7x8zbOMTCFLtC0FJx4zrf75jNtb6P/fBCAB4nrcPwN8C+J++738MQTQn\n2IIg2j0Z/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ts_plot(df['diff']) # first and seasonal difference\n", "plt.title('First and seasonal difference')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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WaxGxJDMnZ9i2FTig0wEzcw2wpnVdRKwANqw7/1SOPHJhCvIVK1YwPlnnA7O0\nPPil058BsNt9XvnhL05bbjTgA79y4s7ljQ9t503vv4ORw47j0P32XtDJajvFOt/PMpdj9CrWsmIp\n6/PM9zxlfN6qfJa57NOLY7zr019n87YJoJlAHbH/smlN1efyfZ9rrJ306hjzvWadfq9atz/poH1Y\nu2olRx2yb1efpxsOciFpUbNz+FB7CFjesjxaJFczbVsOPNirwPqh0yBHl11/N6NHPIWR0bEFHcBi\n40PbWfriC9jrnD/vemAZB2xaGGX8bbTnOjVVX2zf97l8Dzv9Xk1tZ3SsL4MxmWBJkobVTcCZAEUf\nrNtbtn0DOD4iDo6IvWg2D7y59yH2znmnH8dTH7+csZGRGUfd7FV/xE43RnO5uer0WdSdXiXZg6JX\nCWenBGqxfd/n8j3s9HvV78GYbCIoSRpW1wAvjogvACPAuRFxDrBfZn4oIi4EPk/zYeNHMvO+Psa6\n4NqbHbXrVX/ETjdCO588s/uRPTt9FnXHQX+mm8t3sQznnX4cl11/N3dufJjjj9hvlwRqsX3f5/I9\n7PR71e/BmEywJGkWGx/avkvBZzPCwZCZdeC8ttXfbNn+aeDTPQ2qwjrd5JWl042RN/n946A/0/Xq\nuzhMCdRUrd/IYcfxrk9/vasycy7fw06/V1Pb7/r+w5x49EE9H4zJBEuSZuE8WVosenWT1+nGyJv8\n/ulFkl3GDXiv+F3cc2XU+s3le9jp92pq+6nHdTl1xjx1lWA5eaOkxcKn6VK5Ot0Y9aomTbsqI8nu\nlED1qtldGQbpu1iVxLWMMnMYavS6rcHq6eSNktQvPsGUemsYbq4Ws04J1CA9tBqk72JVElfLzKZu\nE6zSJ2+czapLb2ZseZdVfGf9PgDP+aPrdrtLo9FgvFbv7viFXs1q3YsZuAdplm/PU81zDNp5ZjtG\nrd6gUZvYOQHkxoe277JfrZj4sXXy1dZJIsuIYy7mGkcZ12zpL7wbRmb/bZ2Lm976gnm9X1K1zGXI\ncW/Ay1eVxHWQav0WUrcJVumTN0bEGmB1l/Hs1lxmb77vvubAUQs543gZM1KXdZ5ezI7eqxnWezUr\n/SD9fQflmvXqPPM9xtjoCIcd8LhZzzGV1EBzksit2yc5cN+lpcYxl+PMJY65nGcusR7+hCey15gz\nfUiarlMC5Q34wqhK4jpItX4LqdsEq/TJGzNzDbCmdV1ErAA2rDv/VI48snOi1K2jj17BeK2+oDOO\nL7aZ3stiyJhaAAAWhUlEQVQ6Ri/OM0yfpVfnKet7VpW/zXy98sNfnLbcaMAHfuXEBYljtuPMJY75\nnmPK3ktHOfGo3g57Ky1WVelfM5c4HHK8PwYpca3K93khdfv40ckbS+bs6dLg6jRJ5GKLQ1K5qjIB\n8FzimEqgrnzNyaw+64Shu3Fu1+n+rVf3d4N03avyfV5I3SZY1wDbi8kb3wdcEBHnRMRrM3MCmJq8\n8WYWweSNZVgMXzZpWJ13+nE89fHLGRsZ4amPX963J4dViUMaFlV5+FmV/jVViaMsZfx9O92/eX+3\nq2H7Hs2kqyaCTt5YvsXwZZP2xCA1IahKk5eqxCENC0dmq2YcczGXMqSMv2+n+zfv73Y1SN+jbtlD\nuSJs2iNN51M/Sf1WlZvjqtROVyWOuZhLGVLG37fT/Zv3d7sapO9Rt7od5EIlG6TOiVIvVOXGRtLi\nVZUn7VWpna5KHHMxlzKkjL9vp/s37+92NUjfo26ZYFXEYviyaeENUrO6TqpyYyNp8Srj5niYfpcH\nyVzKkDL+vp3u37y/W5xMsKQhUpX+AmXwqZ+kbpWV1JRxczxMv8uDZC5liMmPFooJljREetGsrldP\nYy34JHWrSkmNzZ37wzJE/eQgF9IQ6UVnWgefkFR1VUpqHORAWnxMsFRZVZl/ZJD0YmSeKt24SNJM\nqpTULIYR0yRNZxNBVVaVmngMil40iXDwCUlVV6U+nDZVkxYfEyxVljUl1VSlGxdJmolJjaR+MsFS\nZVlTUk2DdOPi8MiSFpK/MZJmYh8sVZbt1jVfDsghaSH5GyNpJtZgqbIGqaZE1WQzU0kLyd8YSTMx\nwZLUF71oWmMzUw2TvZeMcupxh8y6HZh1H5XrmSsOYv2GTdOWvf4aZP6OlMMmglrUyhgK3uHku9OL\npjU2M5W0kNauWslJxxzMktERTjrmYNauWtnvkCRVgDVYWtTKGAq+V8PJD1tn6l40ralKM9Nh+9tJ\najrqkH256nWn9jsMSRVjDZYWtTJu8nvVBr9Xnal7VSNXpYlAF5od4SVJWjxMsLSolXGT36tEYdgS\nucXUfM+O8JIkLR42EdSiVsakuXM5RhlNxHo1YEOvkoGqNN/rBQfb6L2I2Ae4Ejgc2Aq8KjN/0LbP\nBcDLi8XPZOa7ehulJGkYWYOlodapudvUTf6VrzmZ1Wed0FW/mLkco4xaoV7V+Cympnu9sphq6yrk\nfOD2zHwu8HHg4taNEXEs8Arg2cApwE9HxI/3PEpJqohvP7ANXvAWOPv9nH35zc1ldcUaLA21Xg1A\n0UkZtUK9qvEpo1ZP05X1t+vFYBlDNCDHacCfFK8/C7yjbft3gJ/NzBpARCwFOnY4jIg1wOrywpSk\narho3W1w+PEArN+wiYvW3eYgLl0ywdJQq0rfl0FqIraYmu4Nml48MKjKQ4k9ERGvBi5oW70R2FK8\n3goc0LoxMyeAH0bECPAe4KuZ+a1O58rMNcCatvOvADZ0EbokVcat926edVlzZxNBDbWqNHeziZjK\n0IsHBlV5KLEnMvOKzHx66z+aydXyYpflwIPt74uIZcAniu2v71nAklRBJx590KzLmjtrsDTUqtLc\nzVohlaEXNaGDVNvawU3AmcB64AzghtaNRc3VPwDXZeYf9z48SaqWtatWctG627j13s2cePRBTpw9\nDyZYwMgILB0bYWx0hFq9MW3bEPVHWJRMbDRMevHAoCoPJUpwKfCxiLgRGAfOAYiIC4G7gDHgdGDv\niDijeM/bMvPmfgQrSf3mxNnlMcEqjI6McMIT9yc3bmXHRH3n+kHsjzAITFylPdeLBwbD8lAiM7cB\nL5th/SUti/7oSJJKZx+sFo/bewk/9qQDOGCfpTvXDWJ/hEHQq8lsJUmSpF4ywWqzdGyUpz1hOU88\nsPlgsyqDJAwbE1dJkiQNIxOsGYyMjHD0IY/jyYfvx+uf7+hvC8HEVZIkScOoqz5YEbEPcCVwOM35\nRV6VmT9o2+cC4OXF4mcy813zCbQfDlu+Ny982hEcefC+0/plaf6GqCO9JEmStFO3g1ycD9yemWsi\n4uXAxcCbpzZGxLHAK4CTgTpwY0Rck5lfm2/AvTbVL+s7m7YxXqszWWswUatTqzeYrDdoNDofQ7sa\nlo70kiRJUqtuE6zTgD8pXn8WeEfb9u8AP5uZNYCIWAps7/Jcfbd0bJRjD9u1CVuj0UyyJmsNJut1\nNj0yzv1btlM36ZIkSZIWpY4JVkS8GrigbfVGYEvxeitwQOvGzJwAflhM5Pge4KuZ+a0O51kDrJ5b\n2NUwMjLC0rERlo4BjLF82VKecMA+/M+Dj7LxIRMtSZIkabHpmGBl5hXAFa3rIuJqYHmxuBx4sP19\nEbEM+AjNBOz1czjPGmBN2zFWABs6vbdK9loyyopDH8cTDlzG/zy4ne+baEmSJEmLRrdNBG8CzgTW\nA2cAN7RuLGqu/gG4LjP/eF4RDqi9l4xxzKGP44kHLuO+zY/2O5xSOUmwJEmSNLNuE6xLgY9FxI3A\nOHAOQERcCNwFjAGnA3tHxBnFe96WmTfPM96Bs/eSMY49bD/2WjJKrd5g+bIlbBuvURvgaq2pSYKB\nnZMEO2CFJEmS1GWClZnbgJfNsP6SlkWrNFqMAEtGR3j6kw6g0WiwfaLOtvFJto3XeGR8kkd21Bif\nHIyh4J0kWJIkSZpZtzVYmoeRkRH22WuMffYa45CW9RO1OhO1x5KsmYaAbwDjk3V2TNbYPtHy34la\nz/p6HX/Efnzz/q3TliVJkiSZYFXK0rFRlo6Ndt5x75lX75issdfYKA0aHHnQPmyfaCZf2ydrTNbK\ny76cJFiSJEmamQnWENl7yRgjIzDCCD9y8L7Ttk3U6o8lXBM16kX1WKPRrBVrvm7QYKrmrEG9AfVG\ng3q9+d9GsXzUIfvyB7/4dCZrDUdIlCRJklqYYA2Rbz+wDV7wFjj0WM6+/GbWrlrJUYc0E62p2rHl\nJfeMm6jVGZ9s/puo1dkxWWe8Zd14rV5q7ZkkSZJUZSZYQ+SidbfB4ccDsH7DJi5adxtXve7UBT3n\nVOL2uN00WwSYLBKvHUXfsR0Tj72eKBIwa8IkSZI0DEywhsit926edblfloyNsqRDElavN5isN6jV\nG0zW68V/G9TrjyVfDWZu1livw3it1qw9m6wzUWsM9DD4kiRJGlwmWEPkxKMPYv2GTdOWB8Xo6Ah7\njY4US2PzPt5kbXpTxVqjmXQ1GlCrN5p9yxrN5G1qudGYSt6a6xuNqeSu+V+bOkqSJKkTE6whsnbV\nSi5adxu33ruZE48+iLWrVvY7pL6ZqjXbd6/yjlmvNxiv1YsmjrXpzR4n60xM1m3qKEmStMiZYPXA\nbINPlOmoQ/Zd8D5Xi9no6AjLRsdYtnQMWLrb/epTNWIwY81Yc2TGltctIzXWGw0mao2dg4c050az\nyaMkSdKgMMHqgX4MPqH+GR0dYZSRzjvugVq9SLpqdWq1mRO4qQStdYLqaa95bGGqaeS0f40GtbqD\njkiSJM2HCVYPVHXwCQ2OsdERxnbWni28xlSfNabPgTZV69Yo+qg19y3e0/LeqeWpPm+1otbusUTu\nsX+0nKP1fFN931rPMVu8jTnsJ0mStNBMsHpgkAef0OI0MjLCkrFya+F6qdGSsO1c5rGmmo2WxG3a\nctsxdr6e83nnshPTaiDrRaD1IpZavcFkrTmK5mRRo9gcYdPaRUmSBoEJVg84+ITUWyMjI4xMyw8H\nN1lsN1XzN1XTV9vZj++xUTEbc0gJp9VKttQkPlZL2aBW37WfYK3YtmR0eK6pJEllMsHqAQefkFSW\nZnNRkxtJkqpqtN8BSJIkSdKwsAZLkjR0ImIf4ErgcGAr8KrM/MEM+40C/wT8Q2Ze1tsoJUnDyBos\nSdIwOh+4PTOfC3wcuHg3+70bcOQhSVJpTLAkScPoNOBzxevPAi9q3yEiVgH1lv0kSZo3mwhKkgZa\nRLwauKBt9UZgS/F6K3BA23ueDpwDrALeuQfnWgOs7jZWSdLwM8GSJA20zLwCuKJ1XURcDSwvFpcD\nD7a97deAJwHXASuA8Yi4JzNnrc3KzDXAmrZzrQA2dBW8JGnomGBJkobRTcCZwHrgDOCG1o2Z+TtT\nr4taqfs7JVeSJM2FCZYkaRhdCnwsIm4Exmk2ByQiLgTuysxP9TM4SdLwMsGSJA2dzNwGvGyG9ZfM\nsG5NL2KSJC0OjiIoSZIkSSUxwZIkSZKkkphgSZIkSVJJTLAkSZIkqSQmWJIkSZJUkq5GEYyIfYAr\ngcOBrcCrMvMHM+w3CvwT8A+Zedl8ApUkSZKkquu2But84PbMfC7wceDi3ez3buCgLs8hSZIkSQOl\n2wTrNGBqxvvPAi9q3yEiVgH1lv0kSZIkaah1bCIYEa8GLmhbvRHYUrzeChzQ9p6nA+cAq4B3ziWQ\niFgDrJ7LvpIkSZJURR0TrMy8AriidV1EXA0sLxaXAw+2ve3XgCcB1wErgPGIuCczd1ublZlrgDVt\n51kBbOgUoyRJkiRVQVeDXAA3AWcC64EzgBtaN2bm70y9Lmqm7p8tuZIkSZKkYdBtgnUp8LGIuBEY\np9kckIi4ELgrMz9VUnySJEmSNDC6SrAycxvwshnWXzLDujXdnEOSJEmSBo0TDUuSJElSSUywJEmq\nsG8/sA1e8BY4+/2cffnNzWVJUmWZYEmSVGEXrbsNDj8eRsdYv2FTc1mSVFkmWJIkVdit926edVmS\nVC0mWJIkVdiJRx8067IkqVpMsCRJqrC1q1Zy0jEHs2R0hJOOOZi1q1b2OyRJ0iy6nQdLkiT1wFGH\n7MtVrzu132FIkubIGixJkiRJKokJliRJkiSVxARLkiRJkkpigiVJkiRJJTHBkiRJkqSSmGBJkiRJ\nUkkcpl2SNHQiYh/gSuBwYCvwqsz8Qds+ZwCrgRHgK8AbMrPR61glScPFGixJ0jA6H7g9M58LfBy4\nuHVjRCwH3gO8JDNPBu4BDu11kJKk4bPoE6xvP7ANXvAWOPv9nH35zc1lSdKgOw34XPH6s8CL2rY/\nG7gdeG9E3ABsbK/hGiSWZZJUHYu+ieBF626Dw48HYP2GTVy07jauet2pfY5KkjRXEfFq4IK21RuB\nLcXrrcABbdsPBX4K+AngYeCGiLg5M7/V4VxraDYrrBTLMkmqjkWfYN167+ZZlyVJ1ZaZVwBXtK6L\niKuB5cXicuDBtrc9AHwpM+8v9v8PmsnWrAlWZq4B1rSdawWwoavgS2JZJknVseibCJ549EGzLkuS\nBtJNwJnF6zOAG9q23wo8PSIOjYglwCnAf/UwvlJZlklSdSz6BGvtqpWcdMzBLBkd4aRjDmbtqpX9\nDkmSNH+XAidExI3Aa4F3AUTEhRHx85n5feBtwOeBLwJXZ+YdfYt2nizLJKk6RhqN6o5IO9Xs4tpr\nr+XII4/sdziSpPKN9DuA+bKskqSht0dl1aKvwZIkSZKksphgSZIkSVJJTLAkSZIkqSQmWJIkSZJU\nEhMsSZIkSSqJCZYkSZIklcQES5IkSZJKsqSbN0XEPsCVwOHAVuBVmfmDtn3OAFbTHDf+K8AbMrO6\nk25JkiRJ0jx1W4N1PnB7Zj4X+DhwcevGiFgOvAd4SWaeDNwDHDqPOCVJkiSp8rqqwQJOA/6keP1Z\n4B1t258N3A68NyKOBT7cXsM1R2MA999/f5dhSpKq7IUvfOEK4LuZOdnvWObBskqShtiellUdE6yI\neDVwQdvqjcCW4vVW4IC27YcCPwX8BPAwcENE3JyZ35rlPGtoNincxSte8YpOYUqSBtMG4BiaLR0G\n1RPAskqShtgelVUdE6zMvAK4onVdRFwNLC8WlwMPtr3tAeBLmXl/sf9/0Ey2dptgZeYaYE3befYG\nfhL4HlDrFOsspi7KIDDWhWGs5RuUOMFYF0pZsX63hGP005eA52JZVUWDEicY60Ix1oUxKLGWGeec\ny6qRRmPPx52IiN8Clmfmmoh4OXB6Zp7fsv1w4Is0k6MHgZuAV2fmHXt8shJERCMzR/px7j1lrAvD\nWMs3KHGCsS6UQYp1EAzS9RyUWAclTjDWhWKsC2NQYu1XnN32wboU+FhE3AiMA+cARMSFwF2Z+amI\neBvw+WL/q/qVXEmSJElSr3SVYGXmNuBlM6y/pOX1XwN/3X1okiRJkjRYnGhYkiRJkkqyWBKsd/U7\ngD1grAvDWMs3KHGCsS6UQYp1EAzS9RyUWAclTjDWhWKsC2NQYu1LnF0NciFJkiRJ2tViqcGSJEmS\npAVngiVJkiRJJTHBkiRJkqSSmGBJkiRJUklMsCRJkiSpJCZYkiRJklSSJf0OYCFFxCjwQWAlsAN4\nTWbe1d+odi8ibgUeKhY3ZOa5/YynXUScDPxxZj4/Ip4MfBRoAHcAb8jMej/ja9UW6zOAfwTuLDZf\nmpl/07/omiJiKfARYAWwN/Bu4L+o4HXdTazfoZrXdQz4CyBoXsfzgO1U87rOFOtSKnhdASLicOAr\nwIuBSSp4TQeN5VT5LKvKZVm1MAalrBq0cgqqUVYNew3WS4FlmXkq8FbgvX2OZ7ciYhkwkpnPL/5V\nqtCKiN8BPgwsK1ZdAlycmc8FRoBf6Fds7WaI9ZnAJS3Xtio/Aq8EHiiu4c8Cf051r+tMsVb1up4F\nkJnPAS4G/oDqXteZYq3kdS1uXC4HHi1WVfWaDhrLqRJZVi0Iy6qFMShl1cCUU1CdsmrYE6zTgM8B\nZOYtwLP6G86sVgL7RsQ/R8R1EXFKvwNqczfwSy3LzwSuL15/FnhRzyPavZli/bmI+I+IuCIilvcp\nrnZ/C7yjeD1C8ylLVa/r7mKt3HXNzL8HXlssHg08SEWv6yyxVu66AmuBy4D/KZYreU0HkOVUuSyr\nymdZtQAGpawasHIKKlJWDXuCtT+wpWW5FhFVbRa5jeaX4mdoVr9+okqxZubfARMtq0Yys1G83goc\n0PuoZjZDrOuB387M5wH/DazuS2BtMvPhzNxa/DCto/lkqJLXdTexVvK6AmTmZER8DPgA8Akqel1h\nxlgrd10j4teBH2Tm51tWV/aaDhjLqRJZVpXPsmrhDEpZNQjlFFSrrBr2BOshoDWrHs3MyX4F08G3\ngCszs5GZ3wIeAJ7Q55hm09p+dTnNJxpVdU1mfmXqNfCMfgbTKiJ+BPg34K8y85NU+LrOEGtlrytA\nZr4KeArNtuP7tGyq1HWFXWL95wpe198AXhwR/w78BPBx4PCW7ZW7pgPEcmphVfY3dQaV/U21rFo4\ng1JWDUA5BRUqq4Y9wboJOBOgaMpwe3/DmdVvULS9j4gn0nyq+b2+RjS7r0bE84vXZwA39DGWTj4f\nEScVr19Is+Nj30XEEcA/A7+bmR8pVlfyuu4m1qpe11+NiLcVi9to3gh8uaLXdaZYr67adc3M52Xm\n6Zn5fOA/gV8DPlvFazqALKcWViV/U3ejqr+pllULYFDKqkEpp6BaZVWlqvYXwDU0M9kv0GyLW7kO\nuS2uAD4aETfSHOnkNyr8FBPgt4C/iIi9gG/QrIqvqvOBD0TEBHA/j7Ul7re3AwcB74iIqTbjbwbe\nX8HrOlOsFwLvq+B1vRr4y4j4D5ojHb2F5rWs4vd1pli/QzW/r+0G6TegyiynFtYgfU8tq+bPsqp8\ng1xOQZ9+A0YajUbnvSRJkiRJHQ17E0FJkiRJ6hkTLEmSJEkqiQmWJEmSJJXEBEuSJEmSSmKCJUmS\nJEklMcGSJEmSpJKYYEmSJElSSf4fdTXno3I5t3wAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "acf_pacf_plot(df['diff'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "No seasonal AR or MA pattern is easily discernible from the ACF and PACFs plots above. Hence, I fit an AR(2) to model to the first and seasonally differenced series and examine the residuals for the remaining autocorrelations. The ACF and PACF plots for the residulal series seem to be consistent with a seasonal MA(1) model, due to a significant autocorrelation at lag 12 and significant partial autocorrelations at lags 12 and 24. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "arima = sm.tsa.ARIMA(df['diff'], order=(2, 0, 0)).fit()\n", "acf_pacf_plot(arima.resid)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Automatic selection\n", "\n", "We can also conduct automatic ARIMA order selection based on the X13 ARIMA decomposition software, which is in turn based on the AIC. The automatic selection procedure confirms our choice based on the analysis of the ACF and PACF plots. In practice, it is important to use both the visual and automatic approaches and compare the results. " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(2, 1, 0)\n", "(0, 1, 1)\n" ] } ], "source": [ "results=sm.tsa.x13_arima_select_order(y)\n", "print(results.order) # non-seasonal part\n", "print(results.sorder) # seasonal part" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Estimation" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Statespace Model Results \n", "==========================================================================================\n", "Dep. Variable: Journeys No. Observations: 171\n", "Model: SARIMAX(2, 1, 0)x(0, 1, 1, 12) Log Likelihood -120.277\n", "Date: Thu, 19 Oct 2017 AIC 248.555\n", "Time: 08:10:27 BIC 261.122\n", "Sample: 01-31-2001 HQIC 253.654\n", " - 03-31-2015 \n", "Covariance Type: opg \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "ar.L1 -0.9065 0.049 -18.372 0.000 -1.003 -0.810\n", "ar.L2 -0.6828 0.064 -10.637 0.000 -0.809 -0.557\n", "ma.S.L12 -0.6212 0.080 -7.745 0.000 -0.778 -0.464\n", "sigma2 0.2563 0.027 9.606 0.000 0.204 0.309\n", "===================================================================================\n", "Ljung-Box (Q): 45.83 Jarque-Bera (JB): 1.33\n", "Prob(Q): 0.24 Prob(JB): 0.51\n", "Heteroskedasticity (H): 0.91 Skew: 0.11\n", "Prob(H) (two-sided): 0.72 Kurtosis: 3.40\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n" ] } ], "source": [ "sarima=sm.tsa.statespace.SARIMAX(y, order=(2, 1, 0), seasonal_order=(0, 1, 1, 12)).fit()\n", "print(sarima.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Diagnostics\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "resid=sarima.resid[13:] # the first 13 residuals are inialisation ones" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below are the residual plot, ACF and PACF for the ARIMA(2,1,0)(0,1,1) model. Therea are no apparent patterns in these plots, so that model seems to adequately capture time series dependence in the date." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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5Zi5Y6YU9K7mUFecEcPqsDOdZIWXl4h11T1WIk3/juvdJkoQr9y3gifOdQrNU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Gw32+h0LKiqguWtJi7aGx/EPevIHD5z30lcc2gm9Gd4ge16vYWirvZ8HIjBw0o9y4LMyk4qAwF2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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ts_plot(resid, color=blue)\n", "plt.title('Residual plot')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "acf_pacf_plot(resid)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The histogram of the residuals is consistent with a normal or near normal distribution." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hist(resid)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This part of the model output gives further information. The distribution of the residuals is approximately symmetric and displays near Gaussian sample kurtosis, such that we do not reject the null hypothesis of normality. " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Ljung-Box (Q): 45.83 Jarque-Bera (JB): 1.33
Prob(Q): 0.24 Prob(JB): 0.51
Heteroskedasticity (H): 0.91 Skew: 0.11
Prob(H) (two-sided): 0.72 Kurtosis: 3.40
" ], "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sarima.summary().tables[2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The output also shows hypothesis tests for no serial correlation and constant variance (both of which we do not reject). " ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "##Exponential Smoothing\n", "\n", "###Estimation\n", "\n", "I estimate several Holt-Winters specifications, allowing for additive or multiplicative seasonality, a damped trend, and a log transformation. When modelling the level of the series, the model selection criteria and the overall fit suggest that a multiplicative model without damping is the preferred specification for the data. Later, we will use a validation set to select between the multiplicative and log-additive models. " ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Additive Holt-winters exponential smoothing\n", "\n", " Smoothing parameters:\n", " alpha (level) 0.204 (0.036)\n", " beta (trend) 0.041 (0.041)\n", " delta (seasonal) 0.590 (0.128)\n", " \n", " In-sample fit:\n", " MSE 0.372\n", " RMSE 0.610\n", " Log-likelihood -158.111\n", " AIC 324.222\n", " BIC 336.789\n" ] } ], "source": [ "import forecast\n", "\n", "ahw=forecast.holtwinters(y, additive=True, damped=False, m=12)\n", "ahw.fit()\n", "ahw.summary()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Additive Holt-winters exponential smoothing (damped trend)\n", "\n", " Smoothing parameters:\n", " alpha (level) 0.156 (0.047)\n", " beta (trend) 0.174 (0.073)\n", " delta (seasonal) 0.516 (0.102)\n", " phi (damping) 0.932 (0.057)\n", " \n", " In-sample fit:\n", " MSE 0.374\n", " RMSE 0.611\n", " Log-likelihood -158.531\n", " AIC 327.063\n", " BIC 342.771\n" ] } ], "source": [ "ahwd=forecast.holtwinters(y, additive=True, damped=True, m=12)\n", "ahwd.fit()\n", "ahwd.summary()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Multiplicative Holt-winters exponential smoothing\n", "\n", " Smoothing parameters:\n", " alpha (level) 0.209 (0.040)\n", " beta (trend) 0.035 (0.030)\n", " delta (seasonal) 0.569 (0.127)\n", " \n", " In-sample fit:\n", " MSE 0.371\n", " RMSE 0.609\n", " Log-likelihood -157.933\n", " AIC 323.866\n", " BIC 336.433\n" ] } ], "source": [ "mhw=forecast.holtwinters(y, additive=False, damped=False, m=12)\n", "mhw.fit()\n", "mhw.summary()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Multiplicative Holt-winters exponential smoothing (damped trend)\n", "\n", " Smoothing parameters:\n", " alpha (level) 0.142 (0.117)\n", " beta (trend) 0.271 (0.436)\n", " delta (seasonal) 0.468 (0.124)\n", " phi (damping) 0.885 (0.176)\n", " \n", " In-sample fit:\n", " MSE 0.373\n", " RMSE 0.610\n", " Log-likelihood -158.249\n", " AIC 326.498\n", " BIC 342.206\n" ] } ], "source": [ "mhwd=forecast.holtwinters(y, additive=False, damped=True, m=12)\n", "mhwd.fit()\n", "mhwd.summary()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Additive Holt-winters exponential smoothing\n", "\n", " Smoothing parameters:\n", " alpha (level) 0.193 (0.037)\n", " beta (trend) 0.044 (0.022)\n", " delta (seasonal) 0.628 (0.135)\n", " \n", " In-sample fit:\n", " MSE 0.001\n", " RMSE 0.026\n", " Log-likelihood 379.099\n", " AIC -750.199\n", " BIC -737.632\n" ] } ], "source": [ "ahw_log=forecast.holtwinters(np.log(y), additive=True, damped=False, m=12)\n", "ahw_log.fit()\n", "ahw_log.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Diagnostics\n", "\n", "The figures below show the residual plot, ACF and PACF for the multiplicative Holt-Winters model. We find that the exponential smoothing method is not a good fit for the data due to the presence of substantial remaining autocorrelation. The autocorrelation is due to a short run behaviour that is picked up by the AR(2) part of the ARIMA model above. " ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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y2NL3KcXejkZnsAyFdh8pyZ4fVeysFk0sl0c/j9SgMC8M5IowkFTBNoeIXYhr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e2RRdQrBm47uRfDIXDfw3Yp6H33PYLVVi8w6XbOHWbYw8pWN7R0TJmVXn+ATn/gZgqjOLGvibc8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\nBuAUgP6M9wXwDjCTH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "resid=pd.Series(mhw.resid, index=y.index).iloc[13:]\n", "ts_plot(resid, color=blue)\n", "plt.title('Residual plot')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "acf_pacf_plot(resid)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Model validation\n", "\n", "We now use real-time forecasting (2010 onwards, 63 observations), to confirm whether we should prefer the ARIMA model over the methods, and to estimate how it may perform for short and medium run forecasts. We consider forecasts one month and one year ahead. \n", "\n", "The results clearly show that the ARIMA(2,1,0)(0,1,0) model outperforms exponential smoothing for forecasting. " ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Real time forecasting\n", "\n", "validation=y['2010':].index\n", "start = y.index.get_loc('2010-01')\n", "\n", "results=pd.DataFrame(0.0, index=y.iloc[start:].index, columns=['Seasonal RW','Holt-Winters', \n", " 'Log Holt-Winters', 'Seasonal ARIMA', 'Actual'])\n", "results['Actual'] = y.iloc[start:]\n", "\n", "for i in range(start, len(y)):\n", " \n", " j=i-start\n", " \n", " # seasonal random walk forecast\n", " results.iloc[j,0]=y.iloc[i-12]\n", " \n", " # multiplicative holt winters\n", " model = forecast.holtwinters(y.iloc[:i] , additive=False, damped=False, m=12)\n", " model.fit()\n", " results.iloc[j,1]=model.forecast(1)[0]\n", " \n", " # log holt winters\n", " model = forecast.holtwinters(np.log(y.iloc[:i]), additive=True, damped=False, m=12)\n", " model.fit()\n", " results.iloc[j,2]=np.exp(model.forecast(h=1)[0]+model.forecastvariance(h=1)[0]/2)\n", " \n", " # seasonal ARIMA\n", " model = sm.tsa.statespace.SARIMAX(y.iloc[:i], order=(2, 1, 0), seasonal_order=(0, 1, 1, 12)).fit()\n", " results.iloc[j,3]=model.forecast()[0]" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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RMSESE
Seasonal RW0.7380.086
Holt-Winters0.5560.064
Log Holt-Winters0.5590.059
Seasonal ARIMA0.4710.068
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" ], "text/plain": [ " RMSE SE\n", "Seasonal RW 0.738 0.086\n", "Holt-Winters 0.556 0.064\n", "Log Holt-Winters 0.559 0.059\n", "Seasonal ARIMA 0.471 0.068" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from statlearning import rmse_jack\n", "\n", "table = pd.DataFrame(0.0, index=results.columns[:-1], columns=['RMSE','SE'])\n", "for i in range(len(results.columns)-1):\n", " table.iloc[i,0], table.iloc[i,1] = rmse_jack(results.iloc[:,i], results.iloc[:,-1])\n", "table.round(3)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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RMSE
Seasonal RW0.738
Holt-Winters0.926
Log Holt-Winters1.003
Seasonal ARIMA0.623
\n", "
" ], "text/plain": [ " RMSE\n", "Seasonal RW 0.738\n", "Holt-Winters 0.926\n", "Log Holt-Winters 1.003\n", "Seasonal ARIMA 0.623" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Real time forecasting (One year ahead)\n", "\n", "validation=y['2010':].index\n", "start = y.index.get_loc('2010-01')\n", "\n", "results=pd.DataFrame(0.0, index=y.iloc[start:].index, columns=['Seasonal RW','Holt-Winters', \n", " 'Log Holt-Winters', 'Seasonal ARIMA', 'Actual'])\n", "results['Actual'] = y.iloc[start:]\n", "\n", "for i in range(start, len(y)):\n", " \n", " j=i-start\n", " \n", " # seasonal random walk forecast\n", " results.iloc[j,0]=y.iloc[i-12]\n", " \n", " # multiplicative holt winters\n", " model = forecast.holtwinters(y.iloc[:i-12+1] , additive=False, damped=False, m=12)\n", " model.fit()\n", " results.iloc[j,1]=model.forecast(h=12)[-1]\n", " \n", " # log holt winters\n", " model = forecast.holtwinters(np.log(y.iloc[:i-12+1]), additive=True, damped=False, m=12)\n", " model.fit()\n", " results.iloc[j,2]=np.exp(model.forecast(h=12)[-1]+model.forecastvariance(h=12)[-1]/2)\n", " \n", " # seasonal ARIMA\n", " model = sm.tsa.statespace.SARIMAX(y.iloc[:i-12+1], order=(2, 1, 0), seasonal_order=(0, 1, 1, 12)).fit()\n", " results.iloc[j,3]=model.forecast(steps=12)[-1]\n", "\n", "# The standard error is not valid in this case because the forecast errors are correlated\n", "table = pd.DataFrame(0.0, index=results.columns[:-1], columns=['RMSE'])\n", "for i in range(len(results.columns)-1):\n", " table.iloc[i,0], _ = rmse_jack(results.iloc[:,i], results.iloc[:,-1])\n", "table.round(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Forecast\n", "\n", "Here are the final forecasts based on the ARIMA(2,1,0)(0,1,1) model. We predict a continuing increase in the number of train rides. " ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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kuAeCaATM0CG4O2aeWKgx9QvRMMwDX8F9xn+2fqyhw6w5DCgy4PVB8Pj4d68f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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "h=24 \n", "\n", "test=pd.period_range(start=y.index[-1]+1, periods=h, freq='M')\n", "\n", "y_pred = sarima.forecast(steps=h)\n", "y_pred = pd.Series(y_pred, index=test)\n", "\n", "intv1 = sarima.get_forecast(h).conf_int(alpha=0.2)\n", "intv2 = sarima.get_forecast(h).conf_int(alpha=0.1)\n", "intv3 = sarima.get_forecast(h).conf_int(alpha=0.01)\n", "\n", "intv1=pd.DataFrame(intv1, index=test)\n", "intv2=pd.DataFrame(intv2, index=test)\n", "intv3=pd.DataFrame(intv3, index=test)\n", "\n", "\n", "fig, ax = forecast.fanchart(y['2012':], y_pred, intv1, intv2, intv3)\n", "ax.set_xlabel('')\n", "ax.set_xticks([], minor=True)\n", "ax.set_ylabel('Journeys')\n", "ax.set_title('ARIMA(2,1,0)(0,1,1) Sydney train journeys forecast', fontsize=13)\n", "sns.despine()\n", "plt.show()" ] } ], "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": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 1 }