{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Time Series Forecasting With Prophet" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Prophet](https://facebookincubator.github.io/prophet/) is an open source forecasting tool built by Facebook. It can be used for time series modeling and forcasting trends into the future. Prophet is interesting because it's both sophisticated and quite easy to use, so it's possible to generate very good forecasts with relatively little effort or domain knowledge in time series analysis.\n", "\n", "There are a few requirements you'll need to meet in order to use the library. It uses PyStan to do all of its inference, so PyStan has to be installed. PyStan has its own dependencies, including a C++ compiler. Python 3 also appears to be a requirement. Full installation instrutions are [here](https://facebookincubator.github.io/prophet/docs/installation.html).\n", "\n", "Let's take a quick tour through Prophet's capabilities. We can start by reading in some sample time series data. In this case we're using Wikipedia page hits for Peyton Manning, which is the data set that Facebook collected for the library's example code." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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12007-12-115012
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" ], "text/plain": [ " ds y\n", "0 2007-12-10 14629\n", "1 2007-12-11 5012\n", "2 2007-12-12 3582\n", "3 2007-12-13 3205\n", "4 2007-12-14 2680" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%matplotlib inline\n", "import os\n", "import pandas as pd\n", "import numpy as np\n", "from fbprophet import Prophet\n", "\n", "path = os.path.dirname(os.path.dirname(os.getcwd())) + '/data/manning.csv'\n", "data = pd.read_csv(path)\n", "data['ds'] = pd.to_datetime(data['ds'])\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are only two columns in the data, a date and a value. The naming convention of using 'ds' for the date and 'y' for the value is apparently a requirement to use Prophet; it's expecting those exact names and will not work otherwise!\n", "\n", "Let's examine the data by plotting it using pandas' built-in plotting function." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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YAwCAwuPmRZQBgTUAAACQAwJrAAAAIAcE1gAAAEAOCKwBAACAHBBYAwAAADkgsAYAAABy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\nK7Ovm9p5PPlkZbjIda2Zbq0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g+XQbbFDZccWyBMbxZyRPksvQFCQt+LvkknCSlawPyZ4+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\nr3qV+ze/GYYvv9z91FOr11u8nccHvvh/9xD4X3t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jACOABcAZZnZANqmtXUrpmDeczWx/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\nlsYDkqQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data.set_index('ds').plot(figsize=(12, 9))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data is highly volatile with order-of-magnitude differences between a typical day and a high-traffic day. This will be hard to model directly. Let's try applying a log transform to see if that helps." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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5F22wCMvV8XphEZbUPa+F4OMakbcDRSHsT1+5RhBiQq1ci2q0bDPu9eu2yf8t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\nEEI6xfBwd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data['y'] = np.log(data['y'])\n", "data.set_index('ds').plot(figsize=(12, 9))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Much better! Not only is it stationary, but we've also revealed what looks like some cyclical patterns in the data. We can now instantiate a Prophet model and fit it to our data." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = Prophet()\n", "m.fit(data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That was easy! This is one of the most attractive features of Prophet. It essentially does all of the model selection work for you and gives you a result that works well without much user input required. In this case we didn't have to specify anything at all, just give it some data and we get a model.\n", "\n", "We'll explore below what the model looks like but it's worth spending a moment first to explain what's going on here. Unlike typical time-series methods like ARIMA (which are considered generative models), Prophet uses something called an additive regression model. This is essentially a sophisticated curve-fitting model. I haven't dug into any of the math, but based on the description in their [introductory blog post](https://research.fb.com/prophet-forecasting-at-scale/), Prophet builds separate components for the trend, yearly seasonality, and weekly seasonality in the time series (with holidays as an optional fourth component). We can witness this directly by looking at one of the undocumented properites on the model object that shows the fitted parameters." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "{u'beta': array([[ 0. , -0.03001147, 0.04819977, 0.00999481, -0.00228437,\n", " 0.01252909, 0.01559136, 0.00950633, 0.00075704, 0.00391209,\n", " -0.00586589, 0.0075454 , -0.00524287, 0.00208091, -0.00477578,\n", " -0.00410379, -0.0077744 , -0.00081338, 0.00125811, 0.00187115,\n", " 0.0069828 , -0.01233829, -0.01057246, 0.00938595, 0.00847051,\n", " 0.00088024, -0.00352237]]),\n", " u'delta': array([[ 1.62507395e-07, 1.29092081e-08, 3.48169254e-01,\n", " 4.57815903e-01, 1.61826714e-07, -5.66144938e-04,\n", " -2.34969389e-01, -2.46905754e-01, 9.96595883e-08,\n", " -1.82605683e-07, 6.12381739e-08, 2.78653912e-01,\n", " 2.30631082e-01, 2.83118248e-03, 1.55276178e-03,\n", " -8.61134360e-01, -3.14239669e-07, 5.54456073e-09,\n", " 4.91423429e-07, 4.71475093e-01, 7.93935609e-03,\n", " 1.36547372e-07, -3.38274613e-01, -3.20008088e-07,\n", " 1.16410210e-07]]),\n", " u'gamma': array([[ -5.37486490e-09, -8.40863029e-10, -3.59567303e-02,\n", " -6.19588853e-02, -2.69802216e-08, 1.12158987e-04,\n", " 5.44799089e-02, 6.53304459e-02, -2.95648930e-08,\n", " 6.03344459e-08, -2.21556944e-08, -1.09561865e-01,\n", " -9.78411305e-02, -1.28994139e-03, -7.57253043e-04,\n", " 4.47568989e-01, 1.73293155e-07, -3.23167613e-09,\n", " -3.01853068e-07, -3.04398195e-01, -5.37507537e-03,\n", " -9.67767399e-08, 2.50366597e-01, 2.46999155e-07,\n", " -9.35053320e-08]]),\n", " u'k': array([[-0.35578215]]),\n", " u'm': array([[ 0.62604285]]),\n", " u'sigma_obs': array([[ 0.03759107]])}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m.params" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I think the beta, delta, and gamma arrays correspond to the distributions for the three different components. The way I think about this is we're saying we have three different regression models with some unknown set of parameters, and we want to find the combination of those models that best explains the data. We can attempt to do this using maximum a-priori (MAP) estimation, where our priors are the equations for the regression components (piecewise linear for the trend, Fourier series for the seasonal component, and so on). This appears to be what Prophet is doing. I can't say I've looked at it in any great detail so part of that explanation could be wrong, but I think it's broadly correct.\n", "\n", "Now that we have a model, let's see what we can do with it. The obvious place to start is to forecast what we think our value will be for some future dates. Prophet makes this easy with a helper function." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
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" ], "text/plain": [ " ds\n", "3265 2017-01-15\n", "3266 2017-01-16\n", "3267 2017-01-17\n", "3268 2017-01-18\n", "3269 2017-01-19" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "future_data = m.make_future_dataframe(periods=365)\n", "future_data.tail()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That gives us a data frame with dates going one year forward from where our data ends. We can then use the \"predict\" function to populate this data frame with forecast information." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Index([u'ds', u't', u'trend', u'seasonal_lower', u'seasonal_upper',\n", " u'trend_lower', u'trend_upper', u'yhat_lower', u'yhat_upper', u'weekly',\n", " u'weekly_lower', u'weekly_upper', u'yearly', u'yearly_lower',\n", " u'yearly_upper', u'seasonal', u'yhat'],\n", " dtype='object')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "forecast = m.predict(future_data)\n", "forecast.columns" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The point estimate forecasts are in the \"yhat\" column, but note how many columns got added. In addition to the forecast itself we also have point estimates for each of the components, as well as upper and lower bounds for each of these projections. That's a lot of detail provided out-of-the-box just by calling a single function!\n", "\n", "Let's see an example." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " ds yhat yhat_lower yhat_upper\n", "3265 2017-01-15 8.200620 7.493151 8.886727\n", "3266 2017-01-16 8.525638 7.791967 9.266697\n", "3267 2017-01-17 8.313019 7.620597 9.000529\n", "3268 2017-01-18 8.145577 7.449701 8.870133\n", "3269 2017-01-19 8.157476 7.467178 8.860933" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "forecast[['ds', 'yhat', 'yhat_lower', 'yhat_upper']].tail()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Prophet also supplies several useful plotting functions. The first one is just called \"plot\", which displays the actual values along with the estimates. For the forecast period it only displays the projections since we don't have actual values for this period." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ampqwdHkuTlm0CP3H5Jk85frJGIP7KI/yJaMHPyN9Lnt6etDcG4SQacfpZ5yF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2HhyVVldDTU0x6VrWltqDNtOyOTVtvrY3RcbzmPMUcmb3zRzqexNsr72CSmzxdkXFZjsni+oMzI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sNNs50YRKYArmAFNi0YilgGsXLKLcSGkWlldRUV1rRbZioQBbPv1IcCQbeEozMiohmEkcBuWZ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\njcPSEQYSQo6gYDDAri1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nzy4uO3k+N164iIdvWyI5orqMoH2ccFOmFEzivmdf\nY/kjz7P0vkfJKQrR82LSLbQgqRMzWfHHt7n58dUkJCZF7zNGbO5qp6OpzsIL0mloe9FG1sicyyUT\nYA2FGIGc46fPPpBJE9PJTx05KdntdnPvM6+O+R5i4ozfIeYu4NFbr+X6s4/F5/XIYhpBDU9vL5cv\nOpLFZxzDNacvYNuWbj78S3zXPeQnR+F2p5gJuI21m2SVQZ3e09pYg8AoCGJUxtQPFtDSsMmUjWtv\nrGd7Tyfl0+fISJG+nyJifwVWOsdwMIxZg0YSMD3AknoxpNc9MJQ+wjWTNfqG/OzwDeEZ8Ju8bTCS\n/yy5WyNIrzZu84acPxHbXjxtLv9TnYVnILbowkmz87jw0CIuPrQ4atu9R0/l7APluBnWrvuA8THr\n7kdYaaHzCkau8jYizn0MrXgO7Y211K6XVfz8ASMsodHv10h2SA7RLU+s5p5nX8WuCs457gi2bY5O\nxlL+uZL8P98UKoyi/95YG/JGd7c08YvFN3LXM2t5+M1/s/jex5iUX2SWEV1y/5Pc+cTLPPD8mzhd\nksc7KSc/LLFj+5bNbNSLHRgZ+W63JP8P9nvpq/8ovud3TRx9n4OOhx9dJA1mAE3D4U5hyYPPct0j\nL5MyIUZYNKCXXfYPsb3b4FOHvIHftKcUZELg5CwXBWlysqmaPpuC0goU1UZaRrinSTx7GVnbNkhq\nzhh0lAP6+KEqgkvnHxS2bfeOrbQ31oZ5ShUhlRzGQfOQkionOJuAh5ZdwSn/e425LRhDrurE837J\n7X/8E9PmHUr2Px+Eun/s1XVPvvQ6bnx8FcufeAWXW+dJGt/TeGiYGLCpSkxvhiKklrF9mHeakuLm\nlidWkVNYYi46C8urmJ2fSvGEZGZlO8kvM8r9VlJUXmWqwxhJmu5EGZEpz3BSlfXNFsiIhIVtgcPl\nZsrMA0h2uXDEUPH44XGLWPHkGsqmzSa/pHyfrrtj23Za62sI+P20NdSzpbWBJJuCTVH2q4NlX5Dp\nSmRCWipF5VVs6+5g0SXXoOjRq2DAD00fyuI9BoJBfvrzM/Ds3qlXa9v358jIyadIz+8x+pQiIFEd\n+4J0tJwKY1uSTSE7ZXQDP3NSjOTOvUSw+rsEf3ARHY21NKz/FH9QY8AfoL5mozkvdzbV84+33zIV\nnYZDyvpXueW7k/RiR/Ibn1uQxqyZ001KSV5pBWUV1TrFUITGeP0cihCUV00x9y8sr6BIzzUQZs6R\nwKYopMRIxI00kmNFkAzxt4BeWi8Q1Ajoc9cVr23iN+83h7zCFu6ywWUOarDFM0DNFitNRdMVMeQP\nV7++iSc/Gp5eZ1ZI1Z98/uQspup5RyUTHNiVkR2eqqJwUGF0BLkgLYk0PYHfOsbsC8aPe2E/wdqu\nyfqi+8AMhdbdA2weGoP6gTsDDjoBJpWh6SsrdH6SI0Glb9CPK9FGosNF1ay5JKgKrZs+pbm+Bmbu\nhrRw/m9wsJ/umk/paKplSmEmQpP3WlY1mYKSMtqbGsgtLqWorIrNXe0oQvDM/bextbuDrNwCrrr/\nGUqLCnDYpURZ/5AUYd/S3RHGhZ2YNYmp02Sxg97eXtavX8+0adNITHby7ptr0frilCobg+YvgFBU\ntGCArtYm0DQa9mh07N4dtV+CTWUQyC0sMQdhI+nQECD/pmFXBFd9v0yXtdMIFRbRSHalhBXcKHYr\nHPjtH/DnFyrpaKwbVh97OChCkJOTC4SSUvNKQgOjkVVu6I9+FcUyxgq7okjpNZvKgJJIUvLw3h/l\nsfOYcu/DpoTZLY+v4uIHXiS+wGU4ijNTKUrPwR/UdN/x3oV+xwMUPeoVWZhBbpPei4lZOfzm5bdp\nrqthQkEZTqeLcw50EER6u4a+tZqelnoyCstx6JUZQX5DzgSVMl2BYDz0GSus9CGISHCMca/fXfBz\nkp0utIQAtz39Kpes2cjW0YsQDn9xpEe2qLySyurJ2FUFmyKiPPrfJPp8Hq478xg6murILS6joKyC\njqYGhKrgX3MTnHwXZOu5AVqQd1Y9ywu/v4fCskrEgtv3+fpL/vASDqeLACFjQyBIso/NrzbRYUdV\nBDt9g7rSS3hfT7Qp5KQk0WlVXxgN+7M7p+dBeh7B/7zIU3fewLIn1pCYmkpeWTV5JRV0NTeQV1rB\ns8EZMHfkHCfPts0Ed/WgFORjV4VJQ3C53Dz44uvUbtpIekE5E9JT9SIqoUcxvgFFSNm4B55/jZaG\nWgpKq9ASkhnsG0II6X1OtilMzXYPS+NSLd9Qz54YhdSs3l4N3qrZzEtfhMpjt+7oQwuGkhgNQ9n8\nvyZvPDKxzyoj17pz5GihYpnLBHDaAQV07O7j12v1AmpCRFV2NBDUhh/3VSHM4idCEFW9d2/wX+dJ\n7veGsqM/+UB6rD5ecTqef74w9pPlVsMhp1A6dbbJyfF5evnykw+l8gWhj14DyqunUFJRTczyxUKQ\nV1xGYXk1QwEtlLyib9OQtIprzz2By089mqtPX2DSKLZ1d7K9pxMFQUCTx9pVKRM12N9Hnq6dmF9U\nwtUr7iXF7aY3Qt3C4+klt6AIxqjnGy9SJ04CpCfxsduv5+73mnj202g1jUG9sMvxF14RluJvXU1/\n0zBX7Ip8Rx0NNXQ0N0qt6o5wSsUTr7zNxOwclj+2mut+9/SYrxUMDPHFJyEKTJKicf1jq8wkLEPO\nS7V4Tb9pJNgUHjhmGjcdIRc5VTPmRCXzGSjKTKW4osqcaJNdbkqnzhrzNV+Yn42vdSN9Xg9GJaXI\nxL3/azB6fOR7NQxIRYDL6WbyzLk4XC6L10m2ZrIpH+WS4XBCHL/xxUAOh1z0WYrlGKF8vT3OOrCA\notSQEssX//4HO7f0mAlgySOVVB4Ja26EVTcAcO5Vy/jd86/JssgiRAEZL2ip3WSqm3S3NHHBNTdx\nwZIVsaNVWpCt3Z0EA37am+rGlEA8HJwOlzkmWyUoE1XFIvQ1OjJciZRnOM33mxRBpRNCkJea/M23\n/Vm/p6uzXc65GiQkO7nuEVm6etlj8elPT8yaREFZFULIYlEzckMUUbc7hZKKyXQ11rJjaw8bPv2Y\nfq/MVwh9/8I0cJ0uN9NnzyM1NSWsfxqUl1jNZVNkerfTUqjKMDqtMNU8kNzk+m0++i0rRKtGtDVZ\nL0Q1tZwHg8Ot144gdrKg2Ua6l9eatGw4gconOrjgW0X09A6Yz+qIQb0MaiMksFvcx4rYP06l/zoj\nubl+k/zLjg587z0DyNC+d3esgrnxweuVYZY+r4erT1/AJScfJbNidfkY4zU4XW7+8PIbVEyeFnUO\noaicdeUNuF0u00CuynTT3VxHW2O9VIVobqS1UWZ6b+5oJ21ippnVmldaFSYXM+jz8qtT5rPsglMA\njRsfeY6Vb7zLhImSDrB+/fowdYuNGzYwecYs0lzxF6IYC3ZV/RAK5Eq7s6URMVx1Oh33XXk+152x\ngD6vJ2z1Ox6MHdXw8AEgKKqcTGFZJdFilMoAACAASURBVKrNTm5xadT+ApmVnJiUjPjbQ9D6WdzX\nev/tNznv+J8BcMnBuTx84mycuuSSNI5DRpM6ThYSdkWQ5U7CySD1X3yCIuA3z/+J6x/6I+dcfVPY\nvlcsvw2HS1br6vN5ufrU+az/z3tjvuYvTzuBG845juvOPIYBn8f0vFgok/+nYOVpWj0mKUk2UpLs\nYVQbg9toah8jfxvwean7/GP6fZ7wRff/gdYwjC8AocgEVUPzfMG0bCalyKQ+2xu388cVl3H+z77F\nzq2b9+3Jeuphdw+5JRX88JifS91aIe/GMNzHC8onTyavuBxFtZFbXMbkGXOY950fkpVbgGqTOSsm\nLIZzVm5BXLrKo+H6s4+lX1drMvW2Ld7/sWJGbgqz81KjlHwMCERYNdWR0BcjgT/73btxfP7KXt2b\ngdziCvJLK9E0jd7ePXQ01lJQWgn2+DjePz/rF3LsRi5YrZ5er6eXS06az1WnL+DYw+dwyclHcuEJ\n89EGvLJNDUNY10A1mtmozjfg87Lps0/o9/YOu6BQFUF5hjOmYWnFn+u28qfarQQ1GAxoUecTCLOS\nruEdxjScLfX0ItQuDI9y39DwizRD2cO4pJFHgRDsGfBzSHE6u/oGzbyNR0+cGXWOXX2D4dEnKzTC\nFt/744v+rzOSSyr1kqaNH6J16QlRWnDk5c0oWPf+X9E0aLNol3Y219NWX4PP00vt5x/j0xOtkp0u\n6vdEX8uVmkb59NkmX0gIKe5fUFika2LKRBxVtaGqKja7jZ3btpCVm8+S3z2Nw+Vi0Odl02cf0+ft\npbWhxiT3d7c2kZzswO1O0c8tmDZtGlOnTjXldgoKC/nV6Sewu6tlr9thRBy4EOYdB0B61qQRB1P1\n8fMJ+vbQ2VRPZ1OdNPyHWR1/E1AjJOncLjd3P/Mad6xcw9lXLQ/bt6muxvyIiionU9DbIJPT4kTv\nrp1S7gn45OOPGeqXkRDj+qoiTEmv/TD37RcoQoaDl519HDeffzyLT1tAv9dDosPBIT88ImzfKTNm\nm8/S0Vgj5Zv24lvc2hPStZUJbPLdTM1OIUHXG/2/gpDnFCa5E5li0QB3JNhkFUnCS7Qb3hbj3/0+\nWWzk2jOPZdnZx9KnFy4YSXZuvMDqKQc5CdmELBhkPKcxEftrZDRwaGCAj/7yBkIIflyZwZycveBY\n6x7WEy9eTFpKCsGgFjaRjqc+ZFekpoDkjAZY/9G/uP68k9jc2UZGdm64nKfukEjPymbFE6vGlBsR\nCdH8Edz/czqb6mlvrDMXM2YIm72bSu2qEhZij8TcgjQyXfFJODbXR2sp99R+jq9t34rAXP7bp0ly\nuPB5PCw+bYEc285fxBnPfx7X8Vs8A/g1LaojCSForpPJe8FAgMGBAVm4pqGOtoY6k5srhMypMjyl\nQsiKw1/8+32uP0NGly86cT79Pt+w7agIMWq9gM+69rDyk07Qk/BiRbI0ML3LlsKEYDGMjVoRIboF\ngDaykawa8pTCfEYjqmSOdWHOgXC8dNpcqsyy8dFtYDgtjTFmf0TUxsm0u//gNCTgFMUcPPbFQAaY\neej30TTIL68M6WuWVGBzpnLm6jquPv0YLj/lSLyeXlp2xGZbfn/haaiJTmyKqQ4IQGd7GwFLslMg\n4OfEcy4moMvAbe3qZFt3J/0+D7865Uj+9+SjuOCE+WTnFViSASot5H55HrfbHaZu0dbaSnN9LZov\nmie836BffJtIZbB/eNZpwcQUPeGogrzSStAHB5s6Pji3kYmEMszrYsaceVTNmBO2b15ppflRO5wu\nzr5yOWNZvzqy8lFVOaj9689rWXb2cfT7vOY9JNlUHAmqGW4bB80DIEXum4wM7DouO/Volpx5LMsv\nXBS2n8PlRkHed1F5NQWl5Xv1PeaXVpiJL8V6cpJAKkgUpiVTlD5+5N9GQ0qSnWk5bp0zp8SsoGjw\n6ax+F6th2dFQF1qwN9XT3lCLoqBX8/vaHmWvMC07JSwJ1fCghSbF0DhgSwjRLt5+eSX9Pg/fLXLy\nPxP3njaWmJRMgqroFwtNyN94yN+CzqZaOlskxauzqZ7rLjyNlvoagoEAmzva6GlrMvcVikJ2YTE3\nrXyNjEk5JCfufeXRJIcTW3CI/NIKigyalDViMw7aqKwyhpZyMAj1H8DvTtnr8wbtyfgDAVrra2hr\n1NUo2uNXLNrW3UndZ5/ISnsRllV59WSz6mBCYiI2m43iikpKKqstvGRBsl1FQ7azz+Ph/IVHcM25\nP6ddv5/m+lq62luGvQdVAVecHnlJt4j9TjVNY0jXhw6aVfhCXmXjeC3iGAhpTMeCUewk5IQy6gCE\nIjmKEOacEYniCY6wSMljJ8zkp9WhZHp5bemFVoXAH9j3RIP/usQ9A2npE/DY7PiBCdl57OjYAN21\nkFM16rGR2N7WSJLDgdPtZvljq+lsrsM1MZvlF58BC1aYhkJTXQ270qLD8QCqLQGBkXwV6hCVk6dQ\nVFphro5LyiuZv/Ak/v7WWjZ3tlNQJrPa62o2mZWJWhvq2NzVwcMvvcHnX64nPb+MlBQ3vqFA2EBv\nqFsAzJwxndLKahrratl3xtowSM+VsnAHHT/ibj6vh9MuW8phP/4ZdqfLDLk47Oq48ILZFCXEw9M0\nVEWGnxQBLle4B2vzgIKhWiSAgrJKFEXEncBnL57FpTffyc1bJCe9o7GWjsZacjMOJqhpJKihEPvM\n3NRxsYgQQlBUMZn80ko6murIys1nc1e7WRAi1v5oGg6Xi7uefZ1b3vicdXGu1cpcGlf+ZAYJx8gk\ntcLyKiZNTCMQDIUkx6KrPV6QaFOH59WBOVZYRfENupUQgsLyKvJLK+lsqidXN2jsiuSLjndfcpJd\nlR4fY6LEMP4N2kNoEr3k1ge59/JzCQaD9LS1UP/lp/z+1utp7+qC854a87Wz8osonToTVddlN7x4\ndlWhMO2roaLtDaZOmUZhWaXpfdTMEtWq5BzrBskds/wMPr6K8qrJaPZkhIDb5k9hXcsWfv9Rz0iX\nCGGo36QUBIMaS3//DCVTZuFyuhnwB8w+J9/N/vHO7Quc7mg52OzCYnpqP4f+kRUoRsKv127kW0Xp\nLKrOk+0cCIzJG/nRu3/i3b89QUFpJWv+9A5kyLlikiuRBDWDB194jab6WooKC2lvb6OscjIutxvP\ngN9cICbaFIaCQQTS+9xcXxumGKTaVDKysof9wlVFxFS9iAVNA4FmRgmsv4d4xiF5OCOBL8RRDhUh\nCU/gG/6aOSmJXPadUnPxlWxX9DHOsmhm5MWYwTUWQsOVaDOpmhOS7ezsG8QhQk6G/aFY81/nSTYa\n93+OPo5HXnqdw4pSWHzPw6ieLfDcFXt1zhvOP5Hrzzgan8dDktNFQWklH/7ldbZ1hVaZmdm5lFZW\nD5ulawjCG9mW1bokk8vl5uFVb3HXky9z91OruG/lSyz55dn0dLSRkZPLGZcsps/nYbDPR1GZ9KYV\nl1eaH9iUWQfgdLlxJ9rCOlkkUlJS+Mf777PiifiSEPYKKVmjGsgAW7o7eeKOG1h+wSL6fSFO8njR\nARZYQrB62NsIkUe2ruHdM7Z0NtUR9MfWd4yFCc4E5hx8qHEyVJuNrJw87KqwlF2W1xxP7eNyubjp\n8dVc9/BL3P7UGgpKylBVldziUs6Ynk6VW46Ujdt85gRg0AEOz7axcEocEoNAR2sLidoADpdMYEt2\nunTvq0rpxL1M4BonGGkiEMKgW8hvw/Sy6sckO12seHINtz61hmWPrsLhdOv8RblvrJK14wlZ7kSL\n5yhEPzEKrBh9fsoBh1BYXm1GngA6muoIjqBFHxPdtWRkZrDiidU4XC6T32+0l0CQ7tj3su37C+np\nqdzx9Fquuv9p8/lLKqq56XdPhSXJTp42i6qZBwBQ/8Un9Hk9ZDkTKMgYg/yphXM7MDAAmoycGcOd\nqgjsiizSMB4ggIcWzmDqpJDD4qSLr9ov5+7e7aNxw+f4hwYhNZtgWm70TkOx5/jerT2hypE1Icqd\nO8lGXmoyDlcK02bPI3NSDjPmHGhqRYfycUKeVCGgtGoyJRVVJh0TZGL8jq3Dl6xShTCLCY0Gw+C1\nRShAGAxkU/pNCyXnhZeotv5dM+XmYhYw0aEogqnZblNvO9lmOKRCjkOTimGJKFlhzLVGhMMzKBcR\nb557kBmVEwKdvrXvRvJ/nSfZaBJ7QgLT58zj9hlB3vjTnwmMwXCJha70KTz9yp/4zpQC7rn8PPZM\nKIPZ8+VGJeQBbdm2Z9hzgFFGmTDekNudwtxDv40iBHWffyyFxwMBetrbuOGXp2Oz2wkEApSUVnDX\n488zddZcXPoHZhhwxodWneUadvWUmpJCUUUVrIufM/tVIRgM0NFULz1hmQeZHvZx4CgNm7QF+jsT\nQXPbrNwUdvUN0bKzTw+rCZNANVZPbzAQ5JLTFsLC34JQCAQCbNvcxZTyIsAa5hwHDaPDGNCSXW7K\np8/BJfymxyWoBfnrzefS7iqF7/8Cj6cXd5KskDTQ5+XKRUfR1lhHXkkFHHnbqNcaGOinua6GaXPm\nycFT08z3M2EcGTV7g9E8yegeTkHQnDhkv5STlsPlYvKsufT2+1GELAownigDI8GdaLPkZwg9MiDD\nzf4g/HxWLrNzU3C63Kx46hXaG2sltWmwXxasGSUxOBIH73if8599k/TUFLxDAVnJUrOqgYyvRYUq\nBCnuFKYfdBi3P/Mqns4mCsurCAQ1FEVFNP0He1IS3b3lJCf4WXLGAtoa68gvKeOsK29Ey6nc62s/\ndPNi7njuTZzpaQgECaqCXVWk9OI4WIAJASUTHCRYrHYhBJk5BWztbt+nc/f397N1t36OhTdC6qTo\nnQb7opL5Jr59G8rOTnbYbBSUVZBZFK7nbURIrE2nCCl7alMVElSFAX9ojgFwud088vIbrPv4E+5d\nfg1dLY0UlVdSUFQ87P2rioh7DNB0/rQt4gBN0wgGDaNYi/Ach74VDclJliMSZrXCn8eokmc+s4VA\nJiLm2XC1m5AxnOlMYKtXr6+gaSF9aU0em+mS88BQIIiiSJUNgQjLLdoX/NcZyQCVmU7yUpLoH5Lh\nkr2pEhSF757Nu9s7ePdsmZzG0TfCBL1inKKypaeLproaGrpjC3iWFhYgBFEd0oDRWcqrJ1NcXkVz\nfQ0BPcw2NCC1DlubGkh2OkwD2ehY1slmJGPK6+nl6tOOhp/dOvbn34+w2RPQtCD5ZRUUlFeioHOQ\nECMaDl8XItvRpgiCmkG5EFz/40r6/UH8geD/Y++94yQp6/zx9/NUVcfq7sk57eTZ2bwgiGK8E0VF\nQFFM6IH65fTUUzEdJ0jwOETwDvBOxQQcKoKKBBVFL+BPRFSCbJjdmd2d3Qmbd2L3THdX1e+Pp556\nnuowaXt2umf7zWuZmcr11BM+8f2RXMXs+bs3bkGo9L+xUKdfNBrF4f2DwPQYcHAXCAgqa+vticCS\nrp0/EO4uNtEdGNiB/Xv6YRoGRvftsSfXftAjezCy4WbUVZ4FwMJQf59D0D+0Z9eC7qV5vCivqXcs\n9jypZaUX6lxgbksy+6kS1vc4y4nDNACRpEcIE2T4eYUgKDMuaGEpNy1WnEahTGCuDftQFtCYQUHX\n0bNxKwghGPjrbtvgsbigsbdd+SnG1W0vzAohSMLK2/YixGb7AIGu62jbeiaSJvDsn57G0N5+WLt3\nwvjLzzD8yh/DqxJnXA3u7sN1V74TVZteAbzyE0u4McXwvgH0b3sOlee+CgplHi1NoTAsIy/ays3k\nwvDVqz6A2poalFXX4fhJXNuyTLzsvDfhB3fchKxmNV7IJRkHhrYBzz4Mc2oIx48fRXVdI2759v3w\nB0Npp8nPTQmwrjaEvsNTSJoGi9HnllTpOF0P44yXvQJf/cFjGB/uR/2aTjSHshe+kQssLex9rbTj\nj0UTuPLHL+B7l25GwmRlqQ1TYrewiFM8xAQPR7AwFTdc9HOZ8KchVmXAycwirDCIaYngaL62sN+B\nOy9ej11HJnHXH/aj7/CUiNsGQCjBBWur8bqOCuw7EYVCeY1a0R4nizxxoOQOhAC3X7gO62pDiBsm\nLFjoXL8F1fXN2c8ZfBZVT921uBu5VEIVScNAuKQU41a6devh96zDeb31cD5dynfjrlRCWOLhNx78\nOW67+wG0dfU4JaoVVcWaji60dfa4LK6UiBik+Saw7du2Yf/AwoST5cRNP/w1/vXuh3DzPT+z6c4W\nP7iXG1wYkV3C/DldgxBSvCgBgsEQXvua18x/gzEWfnPs6BH29zcuAw7uhmkaODY6LN2b3z9/2saC\n3NcI2jtFhaiG1nY0tHZAoUBDgDDeULC36O5Zi+Z2lvhaWdsA8v/dC9z7jyD/992M9yl57kEkf/N1\nfOXjlzHaN5I/cZHLDZLyn2C6EJYYHk9LCUtgJHAvsPkMApvuCsRO2JWF/5TEHvuFfBrFmo4eNLV1\nMKaK2y4Aef7nwNF9896vobnNCePgzcOVjPqIH2vK8i/xU1aCeDJXe1c3mttE8nhDWydaOroZRaXC\nq/IZODw0uLSbSuuaagvHCnFzWXtXOO6Cr5ezMrdvYhYj+wbwro9fnfmknf8H3PuP81770KyCK385\ngo/c/VsES8oyH8R5qO/9OPDQ9VAOvIATRw7BMgwcGR3C8cPDaaWhnf4trdtyWISbN9w9BigBykvC\n2LDlJQiGWGjlXFioYGgBePd9f8Hv9qarFVOzLO49Gk/CBDA5m0TSFOEXABeYRRiGYZpzJu0BwLQd\nGiGHlkR8qtQ+KUwX9vu3lgfxpTd0O0ZPef1VFWrzb7tNbLIB62Sw6izJPI7F6Sh2fNVN9zyET73j\n9cjElrx2wyZ8/KOX4EMP989zcXtyqGx1m4EUFYhb+Msffo/Ryba00+oqSrH3eBQZ2GHsZ5Y7BUEo\nFMJLXvYqfOsnv8T2bdsRqKjBiUMj2LpxPXx2kQkAImZM6nBzYcOG9Whq68Teud9y2TE9OYYzznwJ\nLAuIJthEly+hFhyyJisWb8v5Vu74MfY7cxVbuOic9fjTFZdg6I1fyn6D71wJfPJnMAwDVXWNODzC\nXHwNa1iJYWI7sWQqunyCrNhFImF85Ts/xB/+5wmsP+c18ASC6Nu+DdUtHU75dIUSBIMh/Nv3H8XO\n7dvhK6vGV/7xfRg+sR+RmszWn8mnfgIrNoVhVcVQfx9Kt57p3HsVGJIXZEkG2CIR8ChSohlcoT1s\noSCIJy2nr+ZL/Ho28LK0lArvGveeEMIsRLyPUcIsViolKCkJ45b7HsMLf34GsdkYLMvCASOMhw4C\niQwRGCV7f4cvfvgy+/rcQsstVuyeFUFP3rUXV4dYbDpF3DDhUSgCehi33fcoduzYxiot6jpIYgZX\nfOaLIIkE7rrtBgztGUBFQzMWmLYncP/ngYmDaGjrRPeGzSBgpaJ58igBo2pbafB1zxkit13g7Bs/\ncRRAY/pJyThwZE/69iz492eOAciWEGzf2TRQUlqG8RNi9qqsbUBrR0+a50+2jvo0BW3lAbEdBNHp\nKQz1bUf5+vXwBnRnDCdNE9GpKezeuQPr1vVC8c2fh7FQwdC0LBiWiOlN3y8S8UzTwuRsEn6NwgRx\nlalmMctsm7GAidmS5jFHYQVx1hMKSSYiLMTOUS4o229ww5R8DbvUtwl5bjz5hXP1CcnOxMoaxwJr\nSH9Qhz8cyigkB8OlTtncOVFaB3zy4fTtlNG69J7zavgeH8JM0sTnXtOG5pIADk/N2s9lZ6qnnOrT\nqBNn6FyOEJjEgh4KYdMZL0EsaaChvh5Bv+YqySiC28W7z4VQiPH9XvT9F9077vkY0PsaYOuF87dB\nDtDY1gm5hK5CiVPuO18gF+5gbczcTMLCbO+TBjvPmA+GwrjmG/fPo3Sx7616PPjKfY9gx84d8CgK\n2no3IhgKOQoVf4p8E5KdxCcCxGNTuOrySzHY34em9k7cfO/D6Np4BsuMt4U5Houv23G0Y7EErv/O\nT9H/4rOYnYnhmzd+COOXfdN1j9qmNRgd2IH6NR1o6uh2WFAYj27hY67FTFYEeAVIH6WYMCxn4XDC\nFaj4FgQEG+rCrtK0+QiHG9UWBrh1is/dzhJHROwmJQR+jbLwg3Wbce0VF2FoYBcq6xpx6zcewMee\nGE27z/ixI9j2f4+h5LwLoYdYoQc5NGVzfSQnGfDLAruvBzQmCvB1IhjS0dLehb6d2xEqKcVXPv5+\nHB45gJb2Ltz2vQcwOLgfnuo1+PTjexGdg7M2FQ3+JN7/ha+hqXsDgnoIqv1dTGedyY92khUIAGjp\n6MbgwG5U1TZg40tfhXt/l06dQxQVRFEWzDo0J0pq7IsSTIwdR1VdI46MDqGqrgHXffvH0EOhjOFg\nYozCVXkwOj2Jj176Juzr70NrRze+8eBjeHlXAzSFYujwcbzj7W/Evv4+rOnoxn/86FFgHoq/hX6m\nd9/37Jz7nTewLJj2hGTZ0rFI5GOBDzxZzzAWICTDEkJs6jpKhFeZ/w1CQE0CA1KlYiuTscC2HEsK\nVC66bH6pzzmAE9QtbZuJTeN3v3gIB/fvy3iO33NyzfAPV9+An/3uWcx4IqgLs4D+Ur+G0oCGtoog\n9p+IZbWU1oV92FgnSk/6NAXra8MuAUkhxG1tAUHIq8GrUmFZwsI0SD0klAFdZR36SzfdhHB8joqE\ne54B/nuR4SgZ8KoqC9e+qgnBYMgJ4FcVAp9KHYtRviTQEGmUyYl8clIB2836G09E4gK0P6jjrKYS\neLLUjq+uY/HsFVU18NvV+jrXb0IgqMOjUOf7C/fcsr7uoiESLgj27BL0hPv7bc5eR5Fjz+6zC35Q\nwirv7X7hz5iJTuHe267HbVd9EP5gurv76q/fjy9++yf457t+DF1nZXIVwlgIqvXCTtoDWNtl6x/O\nAgGZpoy4+6XdyD5VcS02Ks0N9dFygws7HkWMGz4PUvkY21sjwkuITZW4i/EGH9iHL30oM6sOURR8\n+6arce3lrFIjIIRkZsnO33biXipu5d7aWMLGz9QUPv++C3H9B96Kz1zyWozu38vikfv7cGR0GGs3\nn4nK0gjuevuGRd3v07ffiw1nncus0+AVECUjTI7fb6mQBSoA+NTt96K6oQlHDw3j9s9dmfEcCxbe\n/YlrEf7rIzl7DqpqaGjrwtXffAA3fvcnuO1Hv0J5VY1j6c703GUBj5NoxrGnj82fnAd53+6dzjff\nsX0b9tlz655dO/GbR3+KaDR7DYJcQoRVSJRwMsWbxSvwiTCKhViSASbTMK50HmqVIujaIHALqY4S\nzecKENdawzuFonB5aZEvnQGrzpLMweO4picn8fnL3oLB/j4oqpqmSd5xXiP0bLFHC8RLX/06VFZX\n4E87D6M+4sP2Q1MY3LUDNeu7Qb1+RBMsoJ25AdKfU6HuUAmPKpgLuTCiUJbN31Tqh2VnxE7MJDA+\nw5IIqkNeVAQ9OH4kNuezxqYFCX9sahLwhXHuq/8W9T1bsK9/J774QoZedWQf8OwjwKs/uPjGkdDZ\n2oyehgoAdjtYBLpHgU+jiMZN1IZ9zgK20qDc1ZOyePs0BdGE6SSDcoFZVSQrs32NT7yiFQNDw3j6\n6T/i4Zg7Jv7QyBAA4MjhQ/jkO/8RI4N70NjaiRu++1PUhBk9Gr9nwKPMmxBxqiFr7O1dLCZ5X/8u\ntLSzGEmLu7Q5jZl9Qjw2ic++lzFclFfX4ejoMEyTCTqpCIV0VGzcaifgsnt6VQUNEZ/LElOomMuK\nya2nIMwVSYnlCE18qlAIkLQAr+pIzq4FJ5/hFn5ljxhhVGPcqEDspEXKHbKsbZrau1FZ1+j0m6MH\nhzLex4rHYNmJogf6+7BuyxnQVCZ4alkUlHwBAaNdk40+hAD7du/AgT27XPy5AFBVV4/2rh6YkkHm\nNdUmfvviIFC5Zt77nTg8ivr6BsBg34SCwCJuD2c+oLk0gG0HJ53+cHR0GEdsnvbhDDztABAIl6Bu\nTTum/+16YP2bc/Ic//ClO3DGum4Qjx919fVQ7fGYrZXayoMZaQbb7EIjg/270N7VjfPOOdPZt7a3\nFy0dXdi7qw+KquCWL3waT/3yITzyyCMOhVwqcv2VTMsCtQUn07ScWGQuMFsAYnasU3IBpnrTAjTV\nPZcR+R8RgjAnj3IVGiFi/pDjl2XvlEcKqTpZ5IdEkkPwBuRrz8CuHdhvWxwy0cDd9PfvRGzsyNwX\nfcfcbBB79wwAAIbHZ1DlZ0369X+6EtdcfhFi06z6jqP9ZujCmRY1wRko3A8AEzZUSZDkIRcKJQsS\nHPbtFvRvho+Rsh8/chBDAztRm0Jb49xDUdDQvvgiLKlgIQT8vdggkLXJ+og/bxZ4RRqkfDBynl+X\nJRnC0gcQ53gAOHH0EK592yvw8DduzXofwzBwYEBUrjuwZ5dLGKAEKPFraMqzinIypyVPNv3mg4/i\n6w/8HLpdZQ9g7ac5SWfA4G7BcHF4eD8rjABWSAUv/hp0lilxX3pDJ8tUztRf8qOLnDTmsmJ2Vekp\nc4B9jrSo+DTWPqoiC5DL+cS5g2MxJuLvyqAXlAAKoS5rEUsgI04sMSWM/u7abz2ImqY1UFQV9Ws6\n0FPpLgbyTy+tgPIXFh5HFQVVdfUAWMnnEr+KnurMQka+gBDCvAQp29u716KprZNR4Un4+D//C0Kh\nkMur8J5zulE2/Cdg8uic9/Ie34emti63FY+I9YX/nQ+o1L0IehSU+JmNr6mjC428Em5rZuq7tVvP\nASygviXzGrdYPPDerXjpmVsRsMM0U4W1YIYqmtl4uEOhEP7zR4/hzvsfwQOP/Rp1laWufd944Oe4\n6sYvOzLMnj17sG3btqzPlitlJiFVq+PxyTN2FT5AhFvMJExYloXnhsfxzaf2zXvd0YkZh7qW9y5u\ndAHEXG/rzGkeVeKaF93hprxSn6ZQlPg1dFWe/BhfESF5165d2Lx5M7Zs2YLNmzcjEong9ttvz8m1\nuauDdxOWDc0GUENbuqA3MjiALO0iAwAAIABJREFU6z/wNsSmp/DZ5izkMfVr57xnbRPT0ofHZ6BF\nj0P52tthnhjF8J7dGN6zy7YEsRk/4tfQEEmv7CRnswKM79hru6j5v0yhCM6+BUYptHb0pG275DVn\n4ZrLL8Y17z0/4zl+PYzP3nEfrtxychZ3/vyiFKUQnvJk/nWgUOIkBXhVCr8mJj0+sHnbK5RKypkY\ntH984jEk47NAIt26X9/UzPg2J4SCRlUFFTX1LqGIgCCQZ1bTarsQhMwUENRDOPdlL7MT9eCauHj8\nMiWswmRTWyeokuGdfnUHzKODAIDm0qCrjQnYdfLZPZ5L6F5VCmmBS1Dh21S738lZ8LlIVDlV4Mo9\nwMZNc1kABASqAlf/SuVQ5z/LKmtw6/2Ps6I2d/0YX3z9Wtfba5OHYcaZa9pMGjg6OgKAee4KAQQi\nTEkWEspKIrj53odx9dfuQ31rBxRFxZrObmw++2VCUICYpz58yfl4/dTv57xX+f/e4bLkqQrBTNJ0\nrHpA/gjJAJsLPnRWE/79LWsRCIbswjo/xefuuAfVf/gWMCM8pjVPfwcj3/s8vvKPl+UsnK+x1I+Z\n6Sn02QVcWD9lbdRRGURn5cIKHUV8KjyKgqAewoYtZzr0rjJCoRD+9k1vxZoOVlSmtbUVvb29Wa+Z\nq8/03h88hxdGJljVPTCh2LBYmRHDZPHJCdNCwmCsFv89cAy/2zdH2KYEjbplGyEMEyeJj+VauK3F\nkPbzNcUJzZJcLppdlCi0wOqDc2FFwi06Ozvx7LMsaNw0TTQ0NOCiiy7KybVbSgN4YXTCcYcHdB1f\nve9R9O/agcqmdrzvJ33uEywTR0aHsGfb8/j+HTcBF9yy6Hsm7SCd4fEYXrOxGb9b04a9/btQ39qB\n+tZOxyIIsBKVmT6c7HYAWLERmW4sk3bI4/MWg2CGQZiYiQGWiUNZaINi0SiOHRxGA1ftFoOZKcDH\ntG1TckVRAlBV1gLzaAa2oSkECmEk+utrw/jjfjYBiEcl7vgoW4Pl37qkgoWWYPwQ8J/vAf7+v5xr\n3/z1u/G+t18MY1YI0KZh4NjBYZD2FgCsjfIhmzwVZQEPasJJHJ6adYWitFcEcTwad7nHmEVe9NOg\nHsLtP3gUv3/6aXznxs/h0LC7z1UN/AZveOOrncVZxKYyLmDTyv+yy7lCwKMgloBdaIPNMYo0J7C/\nJQEaBFsaFlFpbYXBwmfcEiu3XvIcDAI2Di1DKAMiaZQgGNTRvXErpmaTwhply0FNHV1oaOvC8J5d\naGjtZIWUnKvmPxxLmfRSXAgO6SGsO+tc/Ms9jyJ6cC+a27rsxERhkJmZnsQ1778Qw3t3o6qxBXjr\nBVnvdXD/Xgzt2YXSLax6X8irIp40wZlFgPzyUiiUIDZ+FM//9nGc8cq/RWkkAssCRvb24+gffw6s\nf6tz7OFnfgkYCYfHPReYnpzAtVdcjOE9rDDSzff8DN5IGIAIi1oImkoDqAmZ+MsQSzbMZOwihBUW\neeiXT+Dw4G401NZkDbVgx+fuQx2ZjsM0AUpZsh2jerMcZYMndlqLvC8LJ5OUP2e7EJqDHhUzSbvW\nhT3/uQwwQNr6y9eZXLLVrHhM8hNPPIG2tjY0NmagbVkCKnQvfKoCKlGBUwKHxiYVlFK73KmF4b3z\nUMBlwQ2f+yTu+/bXMTw+g7bqMnzjgcfw9LMvoKmjG9B8jiZESHYttizgQW3Y58pK59pQLjt9pitR\nRYE5RzCRXlKKhrZOFi/8Ql/W4zJCEZm4R6fiSFomNEqdTsyfJ4/mXwB2spmmwKtQaNKCzTiChSVZ\njoMiIA4NDQBESqTSyzF3JcZPXP4uWLFxwI4rpIqKprZONNphLfz6+Qqfyrgpk5aYvDjctDzM+iu/\nih4KYcNZ5+KG7/0U117xVhwa3o/ymnpc8dnr0b3lpVB9AccV74h/fCI8JW+XH+ioYNYoSgn+sE8o\naBpXFgjbJ1tY81HZzAZCAK+URMe3ARJjB+w+ZFpoKw/i6HScJQkRAmJZiEWnMbh7B8oa2+EvLUFl\n0IPDU6ygUzAYwnXf/gn2D/ShrasHQT3kCvHId1CXcMAeujzgxVgsYX93goCuo23LmUyR4iE3tiu7\n/8VncWBgJwDg4OBA5pvsfx4Y2Ym6ljaHetKZ06QxRwlxSv7mA44eGsWH3/hSJGZncc9XrkVtYwtG\nBvegrqUN9S3t2O+yGFuoaWzBoaFB1LW0Yn8O7r/tuT9jeA8LGxveuxsHBnahdOuZS56fsg1b3aOi\nsSSAwRNRlJZEsLbp5RgZGZnzWrns39/70xAe7zuCW9+yFtQCYFuRDZNZlRVCkLDjlBd6W7lfsX+S\nsQliDvMoBLNJt7WYhzPKx4kUcvHuKiU58xqseK+///778c53vjOn11SlRTk6NYVPvPtN2Lu7D1V1\njfjP//wvfPbJY5hIsCOu/daDaO/qwfGxiYyJfQvB6Mgw+nbuwPFYAlUhLyzLg65NTCOPxQ0QSlyU\nWZnQWp7unmkrD2ImYeD5kQlb0E8/j9NhLbRDZFpEb3ngCXzl4+/HoeH9Gd///AsuQkDX4aFL0M40\nr/Mrf0JuHeKlaNlzLf7SywVW2pNZMWVLPU+mctxDBM53ceLOCexYWqBr/WY0tXfjwJ7dUFTVVcHp\nyMERqJoGSgjq17Th7z5zA3o3bYHiDTjXCfvmpvpZSYR9KjwKS6pSKePzBIRQwwU2hRDMJgz4pcRD\nPjmWV9fgth89jsHdfahsaUdpJALDtJwiAYSmJHcQOKWETwfIoSWO8EhYsivPIl+KNylfIIdbpHrS\nnFeSFNDSgAcTM0knXGImOoVrL7/IKXP+L/f8DP96fg+SpgW/xg7SQyF0btjqMAFZ9n3znWdbxLe6\nt68pD2DweBTHY3GXy1lO1ktl4OFQiYWklbJ14I+47G/OxCve/M8I6KKSKxc8uqtC2Hl4En6Noqtq\nATSppwi/++2vnEq0yXgcw3v7YZomRvftwTVfvw8371AxbX9jMx5HMpnEp2+/F36V4tqdOXgAQlDf\n0o6hvf2obW5DU0eXKzxqkZcCkJndiVKC6pAXB8aiC+6zuZ4ORidn8a7/ehY/fM8WAHbYhWliNsnC\nLEwLuPuZAxiemJn3Wl6V19YVOT4AU/y9qoK4YUEV7kPbwCIZWXjfJgS6V4FhuvM0+HqRyzlxRaOz\nEokEHn74YVxySWb6nqVCU0XCz55dO7B3dx9Mw8DBA/vw0YtejYljIomhc8NWBIM6jo4OpWULLxRV\n9U0I1K5Bte5lGowlaUkE4OKBtkgVj5cDpXN8+MVaRmamJ+E9LsqJvH9zNeqb2/DVB36FL9z147Tj\nW5+4Aed1lLFuepIdj5dZBSCqbNn78mmhbyzxo7NSd8IE+Ny0qT4iYgS55ZgQJCUrDgF7T0oJ/LqO\nf7n3YXzw6psy9q1kIoFPXPMl3Pr9x7DxrJdDl0qZKoSgszJ/FqVUcG0+4tMQ8qrY0lDibHeK21A4\nFGeuZEfbO0LAwi+6N25FIBiSSORt4Y//bk+K2YrxnA6QFQUQOLzTsvuxUCykgD1+7Gcv8Wuot/M0\n5DAd/nf63EcQ9qo40L/TSQId3rsbQ/19CPs1qQKp6Gd8UZ7LUJFvYN8zXVgmRLQPoW7Lr30EfKqC\n9vVb0NjeBUVR0NDWiW9d1J12j9LKKrzizZe4cglkAV33quitCaOtYmExtqcKr37dG6B5mQFG9XhQ\nv6bdTtzrQNf6zVA9XuloC8cODsMXCKBzw+bcPEBZoxSpazltx/OIFgun7bOI2ATEUfzmw3KFo/HK\nepzybSZpJ11bFn616yhGJ2bnPP/687rwtYvWuQxKHZVBp808CoFXIfBripOTIGKXxXygECDkVZzQ\nxlTLNMD+zpUivKKW5F/84hfYunUrKisrM+4vKyvDpz71Kefvnp4enH9+5uQyGZNHpxCbnIWlUlRV\nVmH9xk04PCq5KNQZgLKEjtmxo4BKUV1ViU1bz8IIXTwH4YVvfRsOHxtDTzCOsaOHkDAszETjsADM\nGiaoqiCpUGgKcOhgAhOLSMRKmhYmjk2hozIIbSaKkZExZ59hWpgdYxzMMcOLkWkFR47MzdSx64U/\no+KJW2C+/iqgpAZbcQAz4174NYrGpibUbneXrY4fP4iRnc+hoa0bSUpQu4T2AYD/d3YjasIqZseO\nwlAIJkwvEgazJMcoYJjAiDY3fV0uMF/7cCQMC1PHxhFXFRgeBSPGJABg7Og0pmNxRONMk56ZVZGg\nBHE7EY0SIJpIIh5NgqgUxLJw5jnn4pkzXoJDz3wXtOtlMEoagNpaAEBDYyOs2RhisWkYioLZpIGJ\nhBeaQpbUF08WC22f2aSJyeMTIITgaMID7ywTcsaPTiJhWJieTWI2bsCwfJhOGvAFvZiKM1v6TNLE\nbDSOBCGORyGetGCpLE4tbpiMfkplAkA8YcIyvTg+zqgPD6qxtLKvpwoLbZ9cY/IY638Jw7I9MMCs\nQpEwLRfX8oi6/GNoLiy0faJxA5PHokiYJmJWAP6AhpEpoJJYGIslMHUiiploAlApJpNexJMWRjwx\nHJ2YweRUHHHDQHV1NTadcRYODe1HZX0jqisrMTN2BIadTGSpzMCQNCyYCoFhlwFWoirUmAZtxrec\nTZEVC2mj8VgCExMzSJoWZuy+zr/t0ckZTI/PYiYWByUEE3EvkpZls8iwNWMmaYAkkrjuzrtxaGgf\nwjUNIIlY2vz92gsuBE3OYHZsFpbCQqNmkybGLB+bkz3zWwdzjYW0T1BTcOePfonnnnkavVvOREk4\nhNED+9DUvAZIxFBDYwhQNt8oDQ2orm9GdWUFEJ9Z8homY3TXX2HGplBdVQVrNoq9Lz4LT89aNj+N\nxhdFUcnX+JayANSYe43nqFWA2FgUsbH522fy+CQa1CiMFLdwS5kf8aSJkXmE2WyInjjMBE+bl302\naSJBCQzLWlCbemZOQNV8mI0BE5iGZQFTagzjx6KYihtIGAYMy0I0riKWMGwDlAnDZGvC7GwSsVkV\n1KPCsosLJUwT8aSF2Thbb5OKgr/87r/x6J5d8Ko0J97YFRWSf/CDH8wZanH8+HHcequgzxoZGUFd\nXd281x1XJjGpTbPYZAJc97W78ZFL34yDQ/tBVRWJhAcwGaWWv7QSAY3C0ktx1b9/F+/80eJ9MT/9\n2QO49GProZdVoaSiGrNJE3FfnPELJk3oHgVeVYFfo6itjSwqtitpmBg1xrGmqTTj/saG9G1ztVHX\nxjPgCYaxN6ECZgBdG9Zj3PLArymIR+MYNd18ox2hCJp7t0DzBaCpFKPm4IKfXUZ7S5OTjONTKfy6\nFwHbQqTaA62uLvM75hoL6UMJw8Rg3Ae/RhHwqKirYVbe42QC5nQcZDYJEjdQFvHBshgdF8CEZG3W\nwIw3zkp4mha8EQsf/vK3cXhwN35y0Ic/H5wBPXwEa9o7sPElL8M0vEiaFnyaAr9polT3QCEUdXUr\nk4S1kPaZSRgYSvpBCVAe9qHODhcaNcaQNC2Y0TismSRKK4KIJgyc1VqOpGHiWDSB/qNTmJmYhUIJ\nPCpFwjBBEyb8GgsjUJImCGBbFACSMFFe7kcswUrz1tZGXDSIpxoLaZ9cY1KdQixhIJYwHCHZq1Ik\nDAvdVTrGZ5KYnE2irjZ8yp8tFQtpn8mZJI6RSSRNExXlQdSEhcDqm5zFGJ3CjHcWfo2iNOLHrGGi\nrq4USX8UCd8sZpIGjEAZ/umOe7B3905E6ltRVlYC07KQMCwohgGfpkIlTCnzaRQBTQWlQNirolz3\noq5s5WgV52uj8qQBejyGE9EEasNehH2qQyFmnIghqkUxOx2HAqC0xIeEYTkc80nTQjSeRCKagKYQ\nlNU3YWrWgFelGDVFRC796XWov+oqHBjcj6b2LgRLIqAEUJMmSsoCp3ROTsW8fSg4g0YEEW7sgEYJ\ndK+K6sYWaJRgOmHgCBnGcZPVEPjiDXeiq2ctLI8fQY+Kt5zRht/3DeOF8aXPIffeeQ2Gh4cBAI1t\nXWhbvwWRkgg0haC2rgT+RQjJpmnhiDWOtkUkac/VPgcSJ3DX+1+ND/zoeScE4r+vfClGJ2cQT5p4\n//3PL/g+MoxAKbyUwu+15ZekAcME7nnmAEbNBYwlvQy+EnZcRbWOpGGhrq4EY3QS6mwSs0kTpmUh\n5FXhSbBqrVxAnkkYSM4kEPR7EPapTmnrpGkhxvdpKnyagq0vfw0+cMUVqAh6UOLXcNttty3pfTlW\nbKWJRqN44okncPHFF+f82pyXlVeMaaivx3ce/i1uve8RfPfxP6K0shoA8L13bBRxLCAIBJfGqXeo\nrAc79o+iPsImeou7X+COk1lqUk0ujWZ6KIRb73sEVfUsUdKvh1xxn6n42g8fQVBnbv+TeQw5oU1V\naJoLNd9cxdwtWx70oDbsde+TXD9+jbq+NT/Z2Wb7ggK6jq6NZ+Cys9vwwY2l+LvPfwlf/sY9ePb5\nv+LIiXEnjtCrUCiE5oS6ZjkhQmUyx3cqUrwZbxdVoVBsF7KqSDSA4AwY7gmJu9JkarNCcZXnGl1V\nOiI+zQlT4AE/lLBY3ZayANbngYC8GMjhBKng8yUhBFF7wXTts88M2mXOA7ouJf6w68pzLk+q5e7b\nfIdXVdBVxd4p6FHSOHYJIVDtF04a7P16a0LOvOHQbKaMQ9llX0cn8f3brsP1H3wrrr3iYsSiUyAE\njjEjn0ubE8JyP/gfCiVIxKax7dlnXAWzAKBjw1aWtAmC2PQUfnnN+/DivTct6b7BQzvw9rpZhyVD\nURS8/9PXQbeTQpcS6kApySmLUabP5uTZnMQn/dADf8UPnxuRSlIDgydi+J+BYwu7gFQnIeLTXPOV\nM8/bz8fnBk7/yI4RoVf8WIfcAMS5hk+lWFMWQIk/Nzk9KyYkBwIBHDlyZE4qk6WCV6yzAByeimM2\naSIYCmPd5jNQUV0Dj4dNOE2l/pSg76Xdz2p9CaKKjgZbSAaPnSRSjKYdp7yUOJlczlWUEASCOnw+\n5h7nGhkX6M7vdoe+HE4orszSyzZVIXB4BxYLIi1aDrMF4UkmLIYun8CFtvqID2UpC5RKSVrpaJGd\nKxhJ5IHPf9dJHI/f+CF896Z/wjvPezmuuuxC3PCBizETm2YLlELQXa2jPc9iAFMhC7au7fa78gqE\nbBtJOZdlbadVXOKCEYSAxOIrhZU+f5ftUwMhIMt/Fx7kMZEJXGkM2ha5at0dGpGa4U7lfsOvAZHk\nw2IeKRQKVAS9KM9S2CHfkK19mMCrQKViLvXZsZyCRkuuTsb+97WL1uPvX1IDAHj7Rz6H4b27nUp1\nQwOMucijUtRHfNhUn990gvK7JWPT+Oilb8LH33UBPvWuNzJ+ehuK1A67//os9g/0LSr/iMZFKMFr\nX/lyvPmlG1BvFy9pbOtC53oR55wPuTX8+5tSEiA3Up0s+83I5KyrNPViLsfD7XhSvEeif3TmfzGz\nOd/MlZsCWZgmLpYsyoVmuhRVJTvy21y1RKiU2pOHxZKqbInZmXDsLzs8PgO/R3UtzndetA57j0dx\n6/8ukE9xdhre6aMYLetyLMnsFuymYoJa2gBSFeokteQCQlNjvxyemrXZQNhC8v9e2oJf7DwiDS8i\nBBYC9JDDiL3wG+Bv0ouSzHlf2G1iscxznrFKCFAW0NC8gq7P7HDl1TrQFAKvSjEVJ85Rm+sjmJhN\nYnImicETUTtDlwvOlnOl4f5dGLJLysbtiXr/ACuZW7r1TMeKk+8QExZJ41UhsK1QjgDj3s9DbLiC\n5EyARFBe8UnPtCAxYxQuk0OukGpZL5Dukgbdq6K7KoRtByez8PKwMebTFFgWK97g7JH7C4RVmf0t\n+ITdQrSwjLbk5VyTGdm6OyXELqvtLjaiUrdlzV2djLHSvKKjFg0hL7720U86FS/rWtrQ3NENrpQS\nQlYs7n+hkA1cg/07Mdjfh2QyicHdfcDOP0Kp78YNb97oKNux6SncdfMXFp2gb3pEfzEt4MDATvzz\nnfdi6thB1K7phC8QdCWFWitMndJRoePY9AkYpniOuF0Y5mThUYjr/RZzyRPRRIqQKyAMTBIfMojt\nlWffj0sNbF0gzpjWFGFQ8dgJzbnEqhSS+UJimHBVdOIWhcu2NmB4fMbezhd1dl5Dic9VjnFeeIOY\nHRvF0PiMFG4hu5HdNGdLGT614dwlmMgLBwDEEgYitlvCEUBspQLgGijfTNDS0Y3SimpkqU2Y8X5X\n/027Y3U0wSw6zIJNUKl70iy1+QA+mDPuI+79hDCXWYlfY/1pDBl5oAkBKusboCgqm6gJgaIo6Ozu\nRktHNw8oKBhraaZJl0AohwqRt/FziMvLIi90FASWPV64dd6CiLWkhIUdrGQ88kqDjSFhgdfziLt2\nsdC9ataFm0BYkVNBpfHHF1OHBQMAiBAQ+bE8karQdKyOCh0hr/sby1a1oK1A8tdqKvGjSvfgz0Pj\njvIAItR9y14HJ/Zuw8geURfgbR/8GPRgCIZl5bQQw3JCDiPp6F6L5vYu7Nu9E4ZhAI/8KyyPB7Nn\n/hC0rgKEAEMDfRjay/iiCU1X7heC//31L/CLh/4VDa2d+Or3H4HqCzgVUXlxjJWmF4z4NTtMQXT2\nobEYAt7cUYqasHDPn4aw98TCkiDbygMOQwqRQigAoCLowdgMwbHpuPACSd9WVtZY+zJhWhgKhIIi\ny3m5QmGMhiWAEmBiNikaW5pYzm4pxRvXVrHt9vGqwqYUAuLSwBYCJVwBVVFcmZRp7gHkxwTNO9RH\nX74Gn3lVq1hIpGeUH5O71fm+oB7CWy7/h0Xds6tST4s3JYRVk2sqDUD35t9CzzXb1G+2piyA+ogf\nhIiqYKnWTQIilWImroF/bHSITeJgMXUfueZmPP6b/0EoFJpTMM838NFCM1hOuBDsVE3L8E6UMK3f\nCctwJjYxOcqWQtj3y8e+cqoQ9Cguy7tHpeiuzn242qkEQTb+d2IrUu7+o1LqjMugR3GVrHaUTCL6\nJm8vT4Y8iEJAxK9lLMUuFE32N38vSoU1jc8/aWV8Uyd5AN+/42YnJlnO58lnyBR/eiiErz/wGG69\n+wG0dHRDoRSVVdUor6l3hMXmjm40tbEwiYqa+iXdc3JiAkYyiQP9ffjfnz+E2PQUVErg03j/yuEL\nngTkeRNwGyROBkNjM3jwhVFYFvBE/1H0H00Xkkv8Yo5uiPhwy5t6cN15nagN+4QiK6Eq5EVrWcCx\nGLPnFWuwQonjIdEUgrhhutZmLpsohLAkcOI2BJ4sVrGQzBop5FWE68n56RZiCQgCmup08qPR+KLu\nZfhL0FAi3IGWFKAua000D7TMLQ0RqApBU6kfG+oiLpdcJjJ0R8gnYuD5vAu3bFuAU9teJDDm7HWW\nDc6zpmwPelWU+DWQOYRAQmweaJC0tm1u70ZDawdUVUNLWydqGhqhEGJzRWYO78hHZPuW9REfSvwe\nUEKcMInUY7jSqHuZ0BfQFGhSYgmxT+JWwnwsOLMSqAp5BR/1Cj9LrqB7VYfXWIYzX6dsrw177YQf\nFo/oUSi8KrUr9Lk9EyJpDwUTxrRQOAqA/c6bpfhhmYc8Ne6fx3e29W5CVX2zc87Rg8M40N+XNv/n\nM8RcITwKfn8A1975XVTU1uPwyBC+/NF3Y/zIQex87k/waRT/cf9j+PK9D+GyT35hSfckCrcam7jz\n+s/ic5e9xRaUmSrSXRVCMA8Uedk4AwCKQuYU9jbWhfG6zop5rzs6OYsHXxjF8Fgsaz/hVTSvP68L\nH3lZC2pCXnB/IgGzDB+PJtPOk5UMfixXbDmXsl9ThOzGj7WF55DjmcptD161QjII06q5K1+45uQm\nFAuwRxXW0qVoIXI8Mr8fASsk4lXYJN5SGoDuXdkENSFwCCGHx+p5FO4KF+/vxLdBtM2imsdIYHjP\nLpv0PnfvcSqQ7T15H/KkhFSw34mwJMt9jgCx6DQO7OnDp2+/B1f/x3/BAvCFD70Lr3vtq2DMTDvf\nI/9tOOKduqtCaC4VMXtVIS9qQl6XYJLGTEC4ZUNY232c7g3udtNUKZWjwPrPcoESxn6Q6oYvRPRU\nh7J6BzJZfgkhTmI2IaJ8NZ+7ZMGaW5R4Zr8sRBcyyoMeVOle15zsqs5o/5OTZ/kOLjz7gzpu/N5P\nUdu0BoqqorG1E2s6ulmRmgJpI2HIIDgxNoEr334+PvKON+HzH3gHDg0NwjIMDA3swj+9/0J85rIL\n8bnL3gKFEqzddAaqg0sL8bPiNg+5ZTGL8sBu7Ovvc3Is8sbTlWLAoJKskwlnN5Xg8pc0Lfjyn3ls\nJ7I53HlC3jktpWiycwlYARHWRj5VSassKLyGklHJEYKF0isbpnjfpgQIaKqo3rngt1gYVq2QzCuz\nAJJVQtJAXIux/Td33yzFJVcvxQ1bTsIeW/x9GpvUK3RvTt0ASwUTTOR2IPAo3JUtFplvv32D6KjU\n7sIE2FQXweu7MheAkUF/+VXU/t+/ob61k92Tpluq8xlzPSchxA7RybSQi0HNd81MT+Gz770AX/i7\ni3HLxy4DATC4h2WW79yxA0f2D7hcSIUAvijIWcocvG+VBz3oqBCVA0U1JXEcCKBKVZgA22OhUcfN\nxu9XBGujrqpgQSWgLRYuq1KG7y5bjNjiSUXoBeCax+UY20ILt8gEv6agqTTgtEsm7yQhIuZbKKR2\n+9gNW1Fdg9t+9Cvc8J2f4Ka7H0I4EnLGW+Eo6mwe3rt7J/btZol7h23+Yo4jI8Mwkkns79+N/f19\nIIQgeWQvlNsXRz977XoTDSNPgSoKNK8Xqqqiub0DbZ1d7HnyqGvJM/IdF66b17hlsnrtuPOidSd9\nbzmHxJm7bQVVoRQ+jWYIURSCccSvYVN9hCmCzhzAZBTZ212le50+ztcPLIMinCdqT27haNL2pGlZ\nLP7193uPZ7SMAuyD+jUF0/EkWsv8OKe5FL8fPLHge9ZJlmTLYlq8j1Co9v3ySTLk1heAPZbXzg4l\nluUKMWBxfKwNfSoFzxsJt4DsAAAgAElEQVQtC2h495Z6/GV4HFW6F4emZnFkKj1E5VNXXYXeznYo\nXj+jY3IWNRSEuTQbZQ5vI4UQVAQ9qEnjUQZA4BQT8WkKtu/pc5XQJQAaWjsxvGc3unt60NOzFieM\nwhEEuRCcdT8ICLGgKcRJDAXYGNvSUII/7DvhTIA8RtKC2/LuUShMi2Vlh3wqwvlipVlh6B4VGl21\n9g0AfBxkV47YrGoJbxhlLleHmgrCOhX0KE5f66nO31Lvi4UcPujaToQHUCUAqGgnKh1PAei6js4N\nW6Ha5YBjicUxP6wkeHiWRilaO7uxpqMLe3fvQuOaNiRNE8P79qCmaQ1UVcHI3gE0t3diTWc3TAJU\n1TagoqYBhxZxv9ectQUt37wfgwN9aGlqQmLsEBpauxDUGd9vPoXKqYpYu9oqApiaNeZcW2aTBmAB\nlbo3+0ELxMFJRr+XGvLBn0elJI2Dm1KCtTUh/HV0AgAbz02lARxyrgXHc8aVvvqIHyeicRybjruE\n51wrK6t21WHaheBL5tvc1irxsQgBVLvxQ14Nf39O86KE5IaUcAu2iAmWjHyyYGiOxUVYWkyLOUAI\ngPdubUDMrsvOBxbPNJ9Jmk4D3nZBLygFJmIJXPnjF9Pu469tRSCoswFot7tXpY4Ale/YUBfOSIMk\nx7gDzPUtw4mP0yim46zSVUs7Sxo5MLAbdWva0bl+M/717ocwtGcX/u4NL8ekpWFsLAavyuJz8x2E\nkKw8qnyimkuME4s7F3a44mo5W2VPT9CjuKqync4o9GS9+eDXFEcI1r2qwx4gw7EYg9O7MTduwkhK\nShZB0rQco4AFLKraab5DWM1Tt4s1zacpiMYNSYAQyoXjkrfXPdMUgmchgH9jj0Lg9YZx/2O/xrPP\n/xV1azoxlTCwc9s21LZ2IuzTMDzQh97etQjqIRw+PoYbP/weHBk9gLLf3IrwRZ/Bvon5lYMpy4OA\nrqBzwxaEvSoqWptZEplj7VzmF14EvKriCKjHpuN2BUAmOP/kfVtx8d1/dh0/PpNE0rRsWsGTw3Sc\nJ6a7c3IYdZuV1VPBxr0b3Mgpy208Bp+HGPG+zNFYkjvKXGA1C8kg0L0s+9k0OPeeu+oMn2BUO5SA\nf1S+/+q/acePXziInYenMt5DRmpMskIAQxo1eTR+7Oxnd2IHAUAstvX8tdVIGiYShumyuKuUYNaw\nRCwQFeEa2SAsGOwYRxtc3lfMCbJRIXEBWSHpBnGhBNjH2stzWUkEt933KPr7tqOsqQ1+XYdKKXo2\nbUU4HMLU+AwIQUFVTZuLR3UhVhVHUCbCMm+YsBdt7nngDBo5eugi8h4hn4qtjSV4at9xVOmetGpz\ngN13LN7HWEyuQsW8QgAEPExALBShb7Hg7unU+E5ANgTZ/+RQFNf5bH7S7SRbrpQWwngjBNAUhcWo\nE2BzSy1M1Q/DsoDpBBrbu7Fv9w70rluHnk1nIGi75gd378ABm6t+7MXfgUZPgM5aMN/2pTnvN3L0\nOEoiETBxgrOnSCEFeSQlexSCN/VUYdfRaVeIDaXIyJYie2Byhb7DU44XkRtNLPD+lYUdPVXhAwFs\nujcRg+yOwXfzgueeFnPV+uwIYUlFcgA4wMuSCsFOoTyxwz7PPpkQYH1NGF2V81c+owR2Bqe0jUqZ\n+sgzLdMupQwIS4zcyWQKFcd1R9zWG2ILMQRAQFMyZsb6Pbx7SSJTHmrdSwFvj9Sx7lEptjaWOG3K\nDmbCsx7S0bPpDPiDOnOFUgKFyOTnBd4oEnhfybbYyn2OLzhelTp9zasqiNsKWX3Ej4olJtoUUbiY\nS+gQyrtbUCHyBAXJW7F6hpYLIngwdbvUDAQIeVi+iWhToYgSAkfQBAg6KnRUh07e7b7coAROnCrH\nutoQygIexKJTuPbyi3DDB9+Gz7znAsSmp505qa1zLRpbO6GoKirrGnFi73aYQ9vnvtfX34MbPvhW\nzESnXWtlvvYtTaF4Q081rjirCQARVevmWGNka+3J4iPnNDuMTezaTOZyQuqy3Ki9Qnd55SN+ja2R\nZO7Vkb/bcoS8rF4hGSxpiP3OQIldthDiwykEDn2Q7N7lZ71jUx1+fsVL5rzXp1/V5rI6ziZNmJbl\nsrLmU7wSjzUGxAKTamEHhIBsWXzSlQV/keSoKATvO6PRdY/HP3gW1pQGXZZofnxjiR/dVYXtMuZ9\nJZMVxz4CQIoCAtj8ycTxYPg0Oalo+Z/7VGG+CVe4zohLoSCEIKAqCNhxpJQQ1IZ9TjGIIooA3H1L\n7kMEklIPACRVIVs9IARoKPGjuyo9zlq0AZtzHfYPu2HSBTwxX/FiFPkM3aNmZOLgYQb7d+/E0J5d\nDgPF/v6dwpsZDuGmex7CNd/6Ma7/9o/R0No5pzcUAMzohFO625nHidsQlk9N5lGo63lcBq4Mskhd\n2DuvILoYvHtLA1Tp+wiiAGBNWRAdFZmNjyV+zTXXt1cE0VEZdBk7U9uZW/SB5TG+rV4hmaT/Lv/k\nHYYPKmeb9JMLj555KhBtrHO7yI9F40ia7sD1fJqgPQp1BjkkoQ0grgxx2fLgCD38H9wMGamjS04A\nkQUmAhZ7lDdUOUsAb4LGEj+qsyQ6uBUNsUjHolPY/fyfGbemvHAhvxSpkwHvP3NZAkv9HldIijw2\nPepqaYkiTgZzKlkQQiD/G7Cz51UFCtKtSwTA5OQknnrqKUxOTi7z0y8/KGGx+pl4eVmConhvPkVz\nIUn2GEpTesHMQSGfio11kTRPMUdrZw8abGtxc3sn2rt6AAiDja6H0LlhK8qranDj9x7C5Z+7MfvN\nZqdBFRX1rZ1obmdMFn5NwUzCdJQQfu18gWqHjvK1VzZCpD7nHz72cry63fYE5/AlWCEb+7IQfcyv\n0YyMSNkg5DKuyIlnFO+zfN+gcCWVecAbqzbsQ9JkCXQsGzIhlapmVmTLhNSZZCGZFdidS0MkJIPL\nnfPnEsHokE/xSoSIuCRKWIlJ/r6cAojINdTlDipdQ0ys6Z1zKm6wdrCFcKfqU/40w0mBEjJnIpls\noSHEAixgZnoan3r3m7F/YBea2jrxjQd+Dl9Ql6ztp+LJTw0IwZwMJm0VQWw7OAnDTMKEPAHC4Zjm\nfxdxemKuLrS1sQTP7GeJ1ZSwcssAm79MhUBTBQ2VM7fHYzj33POxbds29Pb24sknn0QoVLgeLR6y\nlQkBj+qyrlEQBDwKkoaUGCutbamGpEKBY8lNeW49pOPG7/4U+/r7cNbm9fAEdMljJZI5CSUI6jrO\nft1b8PgVF2Logltc1yG//DeUxUbwvlvuwqazzkEgqGMmadrMO2zd5IVcZg0T+QRhwLKcd5ct3xyq\nHXJqmbn7/iKsQnoWwpJGlwK+RlaHvKiV1t1SvwatUseLo0zpXY71YvVaku2f1SEv6iMs27E27EPA\no4iPJ7nluIYtqETYQXPFz1z92nb8x8Xr0wRgTnYvd5J8g+JY+5iQzweRix6OuGP9REe3240SJyGA\ngODbb9+Im9/YjfO6Kl2hK7JwzIZJAWSFzAFVoVhbM/fiKgt9sNtrSKKBOzCwG0N7+grEbrM4+FTF\n4bicKwEoYHMmu0FcfSyflMsiTi24Jy8b3AuwOIeA9S05drS1PIjE4UFs27YNyWQS27dvx7Zt25b/\nJZYRWxoic4YhSTM585oqUrUyiHaTGZ4KTSnNFEbD5w2/HkLXhq0IhSKuvkTAmK8AJgARAAFdx/uv\nui7t+uFQECcO9OPB//wy4/lPsRpzgxOlxGaQyB84YaV8Tk1Zi2XI1Slf2VqGuvDJxaQfnpq16yII\nI6FQyBbXyeRiQIS4E8YpJQj7NOebB7Tc231XpZDMGzUbRKUvMaD48aqdIu3st8/5wbu3pF0n6GEl\nimVJJ2laEpm2242cT+DvrlJ5IImMZz6YfLy6lWQJVmxWCz7B8E4f9ChoKQviPVvqWXtmcIvkWzss\nFfNNiLJSwJWwzu4eNLd1QlU1NLZ14MxNG13ur9XSNpQyjsv5FtyWMj821IVdMWWy5Y8SMq8yciqw\nmlz0hYS1NSE2v2bB+towemtCaJH6GlfkFWle4/vWrVuH3t5eaJqGtWvXore3d7lfYVkxn7BBsowp\nYQRhv0V8quSOX66nXR7IdQ9kpAqzlACb6plSwdY9uNY5QoCOdZvTrj954jhMm9t+qL8vLak9n5tL\nLt7FxwBn8ko7lgvQAD7xylb8bef8xcLmwnQ8CUW6L3uGpTWYT1OwsS48p9GFEoKmUv+yrBerMtyi\nIuiZM+ZV1igpCExiobNSx/6xGBKGJcrpArDs35tL07n3eGU9GQnDdOqMb20swZ8OCJdgPoEPIK5R\nb20swR/3nxCubnvy8aoKkDScyUYwMrBtRKKOkenz5IEpJ0ieLpZBl5UL7F8oFMa/ff9R7NyxHb29\nvfAHdUxOzbq0+NUEAsYVnXW/46lxn0N5p7LmV0aWG5OTkzj33HMdF/2DDz64os9zOmG+b8/5yX2a\ngsETrFywbCl1/gaBT6Xw+UN48sknnW9ZyKEWC0Gqog7IpeIlAcrOQ1EIQVuWhKp8RTYDgyJVYCME\ngCW8pI5lFbIFlSCgpydAVkUCOKJqqG9tR3NHl7NuUsJo0/J5PZNlDoVSeGwO5GSGetLyLJ2buHQx\nCOWkfXvPoqGuYLn0VSkkEzK360Ox+VC4dkOIhZBPdRZsVnnPZB82i+rSXOpHZQZaqrhhwqcqTkcr\n8XtAAIzFEjl4s9yBEhYqwasSsm0AqOymkUIsCHfNUSjUdK7BCpBYrmppfJ/DiwgWgmLag7MQODhP\nFq5F2hKjOxQOYcPWM1Ee1FglMMklls8T7lKwtbFk3mN4mE93lY7DU3EcnpoFrMzJOCuBF1980eWi\nHxgYQHt7+0o/VhEp2FgXxsCxKCZmEk6IE/s/cfXDUCiEs88+e2Ue8hTDrSgwUMJKeBNiOoUj5KE2\nl+U+H0EJL0/sXu9ly7hssHG2yf8g/t34+i78755j+PWuo3jyI+dg4OIuDA30oa61E4FgyFU1liB7\nQaV8gFAgiFO22adSTGeoqigbamTP3lJBqfCkU8q9GMgaQ78QzHXmcq4Xq1JIng8OZRBhFZmyUqXY\nltJMMbRfekM3nLQS6fyEYSHkFeVR2/NUM7flYQQ8iohJAwGkUq+A6NxCA7ccVxVL+hMThhw6wNvX\nslj7ehSKWcvMO4v6ckFYcUQ/4ts1haCtPIigR3UsYHURH0oDhbVA5QKECCFGiyWc/sb6ycprU9xF\nv337dqxduxZtbW0r/UhFZICqUMlT5c6rOF2hUOIYJGSue59GEU0y1qaEYaaFJhQSKCEoDWhpnmOF\nEngVgoRhJ6VLi7SzXgEuhSoWncbsnr9AHVMA+DB4IopAUEfXxq0wbDmBEEBRiLNW5jNVHrMFsifl\nY4Mbrf6mowJ9R6ZwYGyGHWuv13CUh6W9V3OpH2UBzRXmREEcPm6moC3xfQjJXuAL2QuUnCxOSyGZ\nZwWzKkOWZM0TsTN8seZZ0xaASzfV4a+jE9h2aAosSoEH8ouPY9nnm3luLhVatLBgbm0swc5DkzgR\nTdjHEOenW2gW26kdcpKmrXMqObvEDnd/EZIPos/yQ6UUhmkJpcsRmomr9CffrlBS0LR4uQAfc6a9\nhOVDgmco5HbRF+OS8xdrygKYSRh4fmRi1cX5LwUb6yI4Nh3HvhNRh+sesL2lKoWqECTNwmYdWlcb\ncsJuOHh+jU9VYJgGUqMLnLWKiLCL2PQUrvm7t+BAfx9AKKo3nIOZC++CpVAM9u9EfWsXdC9T5r3c\nAp/nbeaE1NgWXKe8Mwj+4WUtGBmfwYd/+iJ2HJpEacDjGMIAsqhktaBHcUpRn99ThVe0lgHgRjIh\nPyiEQFGX3mgb68JZlRJRPTL3OC1XZWJbNjWFcWqut3mOWZiF4YTTMGupWKrftqEWr2wrw293H3PF\neWVyBOSxggmADQYefyxrYFwIdqzpEC5xgE8utrUPBCafbGA54RUA02IpAUwiu/qAyqDXKYG6mrGp\nPoJoPIlo3MDe41F3+0nI935yKhHyqhjTVEyZSdSGfQjmST+RXfRFITl/oVACn82Y4gohO03BOe/T\nPH4gCGiKM/+7GJ0KDKkCMgdft4JeJS3BTg614BbOoYE+DO/tZwdYJo68+Afs3fYc7r31Ogzt3Y36\nlg589YePQtdD8CiihHc+wx1CQcCCJJnhBgQI+1V865INTnVgdo5kVV4guIAMwFbG7LUOBAYsqLZS\noanUtX+xUOeoV9FVpS/berEq2S3mAyFwkuvkvsCzIzkzAx9AMwkTBydnQChBqd+DC3qrHSGaC5IO\nLAv+jNRW+QXm9hd8zqn7ZOsCtV3idREfdI/qKAiyG4vY/5MtOPIg5S3VXBaYs7OvJgQ8KipsKjQ5\nPoy3i6YQlPiL5ZY5wj4NvTUhEAKEfSoiBRYfWcTKI9UqWoiCXy6hKdRxfcuKulxxVXj4Vt5zkwuI\n8vYE3pQ1jueBEBBoUj5OU3s3GtaIXIPymjpMjh3H/v6dMA0DBwZ2YvdfnwMhxEmAy/MlXiRF26GR\nPLRE1EIgTlvJVSplBpTFYiZDEbGgLQ8lDHPZRqPuVZfNknx6SCspEBOpu1EZC4ObFoYQgrFYArGE\n6QjG4li4BCDTskApS0JKrcKXb2DMFdQlzAIpoRVw09jVhn1oLmN0S6xanIhzI5Q4JZf59ak9Geke\n5rDId817ucA5gwERb8uiUEjexqyvJE7XflJEbsCtYUGP4hR6OF1R4tewoS4s5mUi2odBzNcrzSST\nK9SGvUzZtv/2qwrWVjMmk+ayANbXMjoxVjOBCYgBXcfN9z6Cq+/4HqobmnDs4Ah+eOfNKVe2C2xR\nm26sOr/ZUWSKO06VR4ktUEKETcqsE3ydai0PLOme4zMJGJblMgapCnGUk2wVEvMZp52QzK287nAJ\nNwhhWibXqCzYge9I4XOlonMBLGlP96iglOS1tZTHbDnvl2JAcPiPJXedONe2xCuKa6BxBSIT361H\nFRPx6Yim0oCIB5yz5xUBpMdtF1HEQpHmBStqXNAUis31EacUMJ//AaG0d1Xp6KpMp0ArRDg82ZIB\nK+ARkaXUXvsUIigoCQC/riNSWo6jB0dgGkkcOziC6oZmKIqCxvYudG/Y6oRxaAp1XTMfIdOximIi\n3LAlViHF/ltVCHwqk4/aK3Xc+85Ni7+pK8SDxSGrVMznhSYgA6dhTHJ1yIvygIY/DJ7IGBLBhUKv\nqjiDCeClclnsLWB3Ati6pX1MwjBRViAMBSL2KH2fLPiW+DUYabyKBD6NwrBYuWUCMShY7JsQwl3X\nK8ABkivIYShFzI2FUMcVUUQmcD7WrirdKepUhFAWeDI6n9KFwWR1KRTCgJNuuUyrPmcnlxMQNHd0\no6G1E0N7dqGhtRNf/Pp9ODg8hIbWTugh3a5US5aNSSGX4GGjwppsr8/O3/a6bHM/6x4VATsJb6ld\noSbk9pqqKg/3EV7nQsNpJyQDbjqcdPGPDQK78B4cGjPO1kCljmX3Nv7h44aJkK9AhGSwd2ssCSCQ\n4mZjlnCCpGHBpyqoi4ha6c6Eag8+Axb8qoLZpOFy6bmPhWv76Yj2Ch1jsQSOTM2u9KMUUcSqRibG\ngyKEcMQFRNh/d1WG8t4quljIltJMAi1f/xQASVjQ7EUqqIfwL3c/hF07tqO7Zy1C4RAiFdUwbWYI\nhVKHSi3fQYhtJQZgGBbjK7b3UUl54Kokj1+X+8di8L1LN9nMH8TO+1Ic6jxAGNMKDaelqi27HVLH\nj0xX4lUVt0sCosEIRM17DsOy0gTOfISmiFCSsE9FyOeeIFXKCOcjfg0zyQzE43Zsk9+O6fJr1BXL\nzDV4jRIn0Y+dd/qixG8XD0lZpIoooojcoiggZ8aasgCaSwNuKyJB2vy/WiCsxe7ZVlYWeBgln5sp\nAYJBHe3rtyCgh6QcJDiFtzLJDfkIAnstV5hQ31UZSlOU+O+qIvMaC4PWPZduwqvayhfEHKEpBJTy\nkB7Ao7itx9zLU2hr32kqJGf/WHLH8akU3GPHs0GJqyOla11eNf+btDrkxYa6cFYGDiJlwKZzTIqO\nz5MceeyXnCHrTEA0VXg+fVEe8KCrMoTuqlDBVbYqoogiChtBr4oSv+Zar1ZRhIUL3CyTMZyQEnRX\nheywSmYZVhWJBk/2hEIwWLF8JlaxtxDCLYhtyNIUxVGGnHwsR3q1i4w4yXZCqSAE8GoK/t9Lm3HL\nm9Yu6H688BhkWcBuUEoY13E+52tlQmE9bQ7BhTpPhgQh+cMqhMDvUUUxDD7wpA5RaEIyIaxyTTaZ\nVQ6TyD4Z8IHEBp1HoVJYBWs9hXLqGYKQT8WGPGf8WG5MT0/hxWefgRWPpVk3iiiiiCKWG5zNQbjA\nV+c8lCqgpYIVbhJUaAQEAceazIU6IWR7FEF2WqV7856eslL3oDzghUIIfCp14vN7a0IIehRXYj2X\nYUTSvUPyKoTeeXDppjo7hEMIxLLBEbCNbwUmIAOnuZDcXaWjIyWjlw8SR8MmrMIOqy7ntorKLisu\nTBZSsoj83Knb56pgw4Vo+XefRp0BxwXjhGEJpQLIWlLydMDk5CTOPfdcvOIVr8C5555bLEpRRBFF\nnHIolGBLQwSEAKUBbVUnyTqhEdn2S8eJZH03BSz/m9OlUsLYivJ9LQt4VDSW+ESYiL3dpyngLFTi\nPd1KgUKJU4iGU7kFtOzvq1KCN/ZU2ddg29i1OZeTkJMKEfn9pZcRBCwOJ7XMISFiEmHHEXhUUZ2I\nb5WT17yKgpmkC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m.plot(forecast);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I found this to be a bit confusing because the data frame we passed in only contained the \"forecast\" date range, so where did the rest of it come from? I think the model object is storing the data it was trained on and using it as part of this function, so it looks like it will plot the whole date range regardless.\n", "\n", "We can use another built-in plot to show each of the individual components. This is quite useful to visually inspect what the model is capturing from the data. In this case there are a few clear takeaways such as higher activity during football season or increased activity on Sunday & Monday." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Vhlh1mxoQ6oKtj/fAyBgPDP50Jx5cvAdlNfVyl2WUPtlxGgM+3oHpyX54pl8Q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\n70X36dMHGRkZyM7Ohrm5ObZv3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m.plot_components(forecast);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In addition to the above components, Prophet can also incorporate possible effects from holidays. Holidays and dates for each holiday have to be manually specificed over the entire range of the data set (including the forecast period). The way holidays get defined and incorporated into the model is fairly simple. Below are some holiday definitions for our current data set that include Peyton Manning's playoff and superbowl appearances (taken from the example code)." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "playoffs = pd.DataFrame({\n", " 'holiday': 'playoff',\n", " 'ds': pd.to_datetime(['2008-01-13', '2009-01-03', '2010-01-16',\n", " '2010-01-24', '2010-02-07', '2011-01-08',\n", " '2013-01-12', '2014-01-12', '2014-01-19',\n", " '2014-02-02', '2015-01-11', '2016-01-17',\n", " '2016-01-24', '2016-02-07']),\n", " 'lower_window': 0,\n", " 'upper_window': 1,\n", "})\n", "\n", "superbowls = pd.DataFrame({\n", " 'holiday': 'superbowl',\n", " 'ds': pd.to_datetime(['2010-02-07', '2014-02-02', '2016-02-07']),\n", " 'lower_window': 0,\n", " 'upper_window': 1,\n", "})\n", "\n", "holidays = pd.concat((playoffs, superbowls))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once we have holidays defined in a data frame, using them in the model is just a matter of passing in the data frame as a parameter when we define the model." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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B6hKpmzBJCFyyZAm++uoreHh4wMPDA19//TWWLFliil2bnVIhYM7NIdj2RH80\ntOoRNv9nrNzbPaa2zaGguBZ93vwF4e72eG14FDJDXGW1jAERkaXQqJQYHOmBj8YnoHDOTZiQ6IOP\n8k7B6/9+xENfFmJvaa3UJZKFM8npm4GBgd1q+vdq9Hazx4oH+mJR7gk89p+9+HjnaXw4LgEutvK9\n4sWyghJM/89e/M8tIbgnwRvBrt1vtJeIqCfy1drgL7f0RlZGMH45WoWvdpdiYPZ2eDpY47H0ANyX\n7MsVG+giJvmOqKysxPvvv48TJ05Ar//v9OlHH31kit1LRqEQMKN/EIZHeeAv3+1H+PwNeGNEFO5N\n9pO6NLMyGEXMXXsAn/x6Gm+PisEdEbz8GxGRJbJSKTAw3A0Dw90wrzYMXxaWYklBCf66pgjDoz3x\nZGYQEn21UpdJFsIkIXDEiBHIyMjAwIEDoVT2vLOU/Jxt8eV9yfjk12I8u/YgPt1ZjE8nJMLT0Vrq\n0rpcbbMOEz/PR3l9Kz6dkID+wa48c5qIqBvwcrLBkzeF4PEBQdhyvArLCkox5IM8uNiq8Vh6IO7v\n4wcHa44OyplJ3v2mpia8/PLLptiVxRIEAQ+k+OHOCDf8dU0Rol/diBeHRGJKmn+PvSbuocoG3PVh\nHuK9HLFwdAz6+jtDoeiZvRIR9VRqpQK39HbDLb3d8I87W/FlQQm+2VOGv31/AMMi3fHkTcHo46ft\nsZ9ldHkmOaJ/2LBh+P77702xK4vn6WiNxeMTsPDuWPxr4xFkvrsNJ6ubpC7L5NYdOIP0BVswJs4L\nf78jHKmBLgyARETdnLuDBlmZwfhxahrWPJICZ1s1Ri3eiYiXN+DNTUdR26yTukQyI5OEwLfeegvD\nhg2DtbU1HB0dO9YL7KkEQcC4BB9sfyID0R72SHh9E17fdBRGo3kv/NwVRFHEqxuOYPKSArw8NBIz\n+gch2tNB6rKIiMiEVEoFMoJd8e7dcSick4msAUFYU3QGfs/n4J5PdmLb8WqIYvf/TKM/Z5Lp4N+v\nHCI3rvZW+PfYeAyN8sBf1xRhSX4Jlk5KQqh797ycT7POgIeXFaKgpA6LxycgM9iVx4sQEfVwvew1\nmDEgCFP7BeDX0zVYWlCC8Z/vgpVSgan9AvBIqj+cZbwyRk9mkpFAURTx+eef4/nnnwcAnD59Gnl5\neabYdbdwV7Qntj3eHwOCXND3rc14/sdDMHSzUcHimmb0f3sLqpt0+GBsHG4Pd2MAJCKSEZVSgX6B\nLlgwKhbhlcwjAAAgAElEQVS759yE/7k5BOsPn4X/8zkYtfhX/HK0iqODPYxJQuD06dORm5vbsUC0\nvb09ZsyYYYpddxtOtlZ4c2QMlt/fB9/uK0Pia5uwt6xO6rKuytbj1ejz5mYMCHLBC3eGIz3IhQtA\nExHJmLOtFaamB2LNI6lY/1g/BLrY4P6lBQh5cT1ezDmMqsY2qUskEzDJJ/2OHTvw7rvvwtq6fckU\nZ2dntLXJ8xtkYJgbfpnRH0Mj3ZHxzlY8vXo/dAaj1GVd1gfbT2L4R3l45tbeeDIzBH38nXmGGBER\nAWi/ilaKvzPeGBGDgtmZ+Nttodh6ohqBL+Tgrg/zsP5wJUcHuzGTzPep1WoYDIaO8FBZWQmFQr4j\nSXYaFV4aFoWhUZ54evV+xLy6EZ9NTESKv7PUpXXQGYyY9e0+rCk6g/fGxOHm3r24ADQREV2W1tYK\nj6QF4KEUfxSW1mJpfgmmfr0HOoOIh1P9Ma1fANwdNFKXSdfAJCEwKysLo0aNwpkzZ/Dss89i+fLl\neOGFF0yx625tQLAL1j+Whpd/Poo739uBSUk+ePWuKFhLvNjy2YZWjPlkJ/RGEZ+MT0BqgLPkNRER\nUfegUAhI8tUiyVeLuYNCsWJvOb7ZW47eG49iQJAzZmYEY1CYG5cV6wZMEgInTZqE5ORkrF+/HqIo\n4ttvv0VkZKQpdt3tWatV+Psd4RgW5YH/Wb0fkS9vwMfjE3BT716S1LO7tBbDP/oVt4a44rH0QPTx\n0/I/KhERXRcnGys8kOKPyX38sLesHl8WFCPr231obDPgwb5+mNE/UBZX1+qubjgEGgwGREdH48CB\nA4iIiDBFTT1Ssp8W6x5Nwxu/HMXdn+zE8GgPvD0q1qwX9F6+uxRTl+/B7MxgjIr1QhTX/yMiIhNQ\nKATE+zgi3icKfxsYim/3lWPF3nKEzd+AtAAtZmYE4c4IDyg56GBRbvjAPaVSifDwcJw6dcoU9fRo\nVioFnr41FBunp6O8vg3h8zdgbVFFl7+u0SjiubUHkLViHxaMjMFDqf4MgERE1CUcrNW4r48f/vNA\nH+Q+0R8pflo8tboIvv/4Cc+sKUJJbbPUJdJ5JhmGOnfuHKKjo5GSkgI7O7uO+1etWmWK3fc4MV6O\nWPVQX7y79QQeXLYbN4e4IntMHJxs1CZ/rboWHe79ogCna5rxyYQEpAW4cP0/IiLqcoIgINrLES94\nOeKZ20Kx8rf20cGolzci2dcJWRlBGBblARWXJJOMSdJAS0sLVq9e3XFbFEU8/fTTpth1j6VSKjAz\nMxhDIz3w9Jr9CJ//M94ZHYsx8d4me40jZxsx/MM8RLjbY9HdsUj203L9PyIiMjs7jQoTk3wxIdEH\nh840YklBMf533UFMXb4H9yX7YmK4DUz36UdXyyQhUK/X46abbup0X3Mzh3uvRm83O3w1uQ8+2H4S\nT678DZ/uLMZH4+LRy/7GTrP/8eAZTPqiAI+k+mNMnBeSfJ24/h8REUlKEASEe9hj3p0RePrW3li9\n/wy+2VuG8Z8VwdOzDE9kBGFkjCcHLMzkhkLgokWLsHDhQhw7dgxxcXEd99fX16N///5XfP6hQ4cw\nbtw4CIIAURRx7NgxPP/888jKyurYZtOmTRgxYgSCg4MBAKNHj8bcuXNvpGyLo1QImJoeiDsj3PC3\n7w8i4uUNeOqW3nCxVaNFb0SLzogWvQEteiOa2gxo1v3+p/3+Zp0RLbr2x61ba1AhHkB1kw4vDo7A\nwDA3BLnaSt0iERFRJ7ZWKtyT4I2x8V7I26/FDyV6vJhzGNP/sxeTknwwMyOYn19d7IZC4MSJEzF4\n8GA888wzmD9/fsf9Dg4OcHFxueLzw8LCUFBQAAAwGo3w9fXFqFGjLtouMzNTFscXBrjY4bOJifhs\n12ks310GpUKAlUoBjVIBK5UCVsr2P/YaJVxt1Rc9plEpIDbYw9HVHR72GsT5OMKFF/0mIiILJggC\n/Jxt8L/R3vifW3pj7YEK/Gd3OZLe2IRIdwc8MSAQd8d5w0rF0UFTu6EQ6OTkBCcnJyxduvSGC8nJ\nyUFISAj8/PwuekxOl6RRKATc39cf9yT4QG8QoVS0jxQqBQFKhXDFKd3SUjW8vXlkBRERdT82aiVG\nx3pjVIwXjlc3YWl+CV7bdAyPr9iHCQk+yMoIRJh7z1ndQmcworKhFdVNOkle32JOE122bBkmTJhw\nycdyc3ORkJAAHx8fvPrqq4iKijJzdeZno1YCpj9ZmIiIyOIJgoBgVzs8OygMc24OwY8HK/H1nlKk\nLdiKYFdbPJrqj7HxXnC2tbL44931BiOA9gGd2hY9Glp1aNYZUVHfivKyGtg3WqGpTS9JbYJoAcNs\nOp0O3t7e2L9/P9zc3Do91tDQAIVCAVtbW6xduxYzZ87EoUOHLrkfV1dXPPDAAwCAxsZGDBw4EOnp\n6V1dvkWprKy86N9QDuTYtxx7BuTZtxx7BuTZtxx7Bq6ub1EUUd7QipX7yrHxSBXK6luR6qfFoDA3\nhLvbw9ZKCY1SgOr8oVNdtTC1wShCZzDCKAJqpQC98b8xShSBVoMRtS066PRGtOpF1LfoAAiAAjAY\njVAKCigF4NCeXcjftglW1jZoMxix7MNFZp/5tIgQuGrVKixcuBDr1q274rZBQUHYtWvXJY85/P0E\nEwAoLS2V5bQo+5YPOfYMyLNvOfYMyLNvOfYMXFvfBqOI4ppmbDx6FmuLKvHT4Ur4OFrjzgg39A90\nhUYtAKIAlVKArVoJB40SDtZqaFQKqBQCFIIAQQBUCgGa88fU6wzt2UGlaH/swtHFxlY9GtsMMIgi\n6lr0KK5phu588BMAGEXxotFItUKAStF+GJe1StGRT/64Xc3ZCmh7eaCmWYeB4e5mD4EWMR28dOnS\ny04FV1RUwMPDAwCQl5cHURSv6qQTIiIi6nmUCgEBLraY4OiLtAAXTEz2RmFJHX44UIn3tp/C4Ah3\njIzxRJCLLXRGI6oadSira4URItpjG9qH7M4Hst+DHHD+LlGAQgGoBAEQgFa9EYAAQRChEgTYa1TX\ntYSNJU5bSx4Cm5qakJOTg/fee6/jvuzsbAiCgClTpmD58uVYtGgR1Go1bGxssGzZMgmrJSIiIktg\npVIg3N0ePk7W8LS3Rh8/Ldr0RqwpqkDWt/vg6aDBqBgvDArrBQfry6+UcakROoNRhNj+IJyse+4B\n+pKHQFtbW1RWVna6b+rUqR1fz5gxAzNmzDB3WURERNQN2GtU6OuvxalzzTh4pgHjE7zxSGoAtp2o\nxoq95Xhz8zHcHuaGkTGeCHe3v+j5lxqh++/xhJY3emdKkodAIiIiohshCO1TxO4OGhSV16O8oRX9\nApyRGeyKivpWrPqtHLO/2w9XWzVGx3rh9jA32FoppS5bcgyBRERE1CPYqJVI9HVCWV0L9pXVQ60U\n4OGgwaNpAXgoxR/bT57Din3lWLD5OG4L7YXRsZ6I9Og56w5eK4ZAIiIi6jEEQYC3kw20NmrsLq3D\nmYZWuNpaQakQ0D/IBf2DXHC2sQ2rfivH02uK4KBRYVSsF+4Md4O9Rl6xSF7dEhERkSzYWqmQ6u+M\nE9VNOFDZACeNCtbq9ingXnZWeCjFHw/09UPeqRqs2FeOd7eewC29XTE6xhPRng4WeTavqTEEEhER\nUY+kUAgI7mUHra0aBcW1aNEbobX579m+CkFAWoAz0gKcUdXYhtVFFXjuh4PQqBQYFeOFIRHucLDu\nuVGp53ZGREREBMDF1gr9g1ywu7QWZxpa4WZ38eXmXO2scH8fP9yX7Iv84lp8s7cc/849icxgF4yK\n9US8l2OPGx1kCCQiIqIez1qtRB8/ZxyubMTRqgb0srWC6hKLPisEAX38tOjjp0VNsw6riyrw/E+H\noRCAkTFeGBrp3mk0sTtjCCQiIiJZUCoERHjYw0GjxO6yOmjPX07ucrQ2atyb5ItJiT4oLK3DN3vL\n8f72kxgQ5IKRMZ5I9nXq1qODDIFEREQkKz5aG1ipFNh5ugaOF5wwcjmCICDRxwmJPk6obdFhbdEZ\nvLLxKPRGESOjPTEsyh0utpe/KomlYggkIiIi2XGz1yAtwBl5p2oAAbBWXd3i0U7WaoxP9MG4BG/s\nLavHin3luPuTXUjz12JkrCf6+mmh6CajgwyBREREJEvOtlZI8ddix8lzMFrhmq4iIggC4rwdEeft\niNkteqw7eAZv/XIcjToDRkZ74q5oD/Sys+zRQYZAIiIiki1nWyv0C3RBQUktapp113XSh4O1CmPj\nvTEmzgv7KxqwYl85xn66C338nDAqxhOp/s4XXI/Yclz+aEgiIiIiGXCyUSM1wBnWKgVqmtuuez+C\nICDa0wFzB4Zi9cN90S/AGf/OPYmRi3/FBztO4UxDqwmrvnEcCSQiIiLZs1Er0cdfi/ziWtQ0t0Fr\nc2NTuXZWKoyO9cLoWC8cONOAFXvLMP6zfCT4OGJUjCfSA11MVPn140ggEREREQCNSokkXydYqZSo\nbtKZbL8R7vZ45rZQrHkkBTeFuOKjvNMY/lEevtlTjvK6FpO9zrXiSCARERHReRqVEqn+zig6U4/S\n2pZLXl3ketmolRgR7YkR0Z44XNmItbsOYNKSAoS725tk/9eKIZCIiIjoAlYqBeK8HKEUBJyuaYGb\nndrki0KHutnBrY8vptzWC2uKziDPpHu/OpwOJiIiIvoDQRAQ5eGAAGdrVDS0QmcwdsnrWKuVuC20\nV5fs+0oYAomIiIguQaEQEOXpiCQfJ5xr1qFZZ5C6JJPidDARERHRn/BysoGNlQq5J6ohite2qLQl\n40ggERER0RVoz68lqDMYUddiujOHpcQQSERERHQVXGytkBboDBEC6lv0UpdzwxgCiYiIiK6SrZUK\nCd4OsFIrUNHQCqMoSl3SdWMIJCIiIroGLnYapPk7o3cvO1Q2tEHfRWcOdzWGQCIiIqJrpFAICHOz\nR4ynAyqb2tCm735BUNIQeOjQISQmJiIpKQmJiYlwcnLCggULLtouKysLoaGhSEhIQGFhoQSVEhER\nEV3Mz9kGfXy1qGnRddlagl1F0iViwsLCUFBQAAAwGo3w9fXFqFGjOm2zdu1aHD16FIcPH8aOHTsw\nbdo0bN++XYpyiYiIiDoRBAGejtZIEIH8klr0slVDpeweE60WU2VOTg5CQkLg5+fX6f6VK1di8uTJ\nAIDU1FTU1taioqJCihKJiIiILsnLyRoJ3o6oau4+I4IWEwKXLVuGCRMmXHR/SUlJp2Do4+ODkpIS\nc5ZGREREdEU+Whsk+TihqkmH1m5wjKBFhECdTodVq1Zh7NixUpdCREREdN08Ha2R4q9FfasejW2W\nvZagRVw2bu3atUhOToabm9tFj/n4+OD06dMdt4uLi+Hj43PJ/bi4uGDOnDkAgMbGRgwcOBDp6eld\nU7SFqqyslLoEScixbzn2DMizbzn2DMizbzn2DPTMvkOsDfitoh7VoggHzcVxq3DnDvy6ZROsrG3Q\nJtH0sUWEwKVLl15yKhgAhg8fjnfffRfjxo3D9u3bodVq4eHhccltq6ur8dprrwEASktL4e3t3WU1\nWzL2LR9y7BmQZ99y7BmQZ99y7BnomX37+Rqwu6QONc06uNpZdXrs5juHI6FPKrS9PFDTrMOyDxeZ\nvT7JQ2BTUxNycnLw3nvvddyXnZ0NQRAwZcoUDBkyBN9//z169+4NOzs7LF68WMJqiYiIiK6ORqVE\noq8TCktqUdXUBldbqys/yYwkD4G2trYXDQNPnTq10+133nnHnCURERERmYRaqUC8txP2ltXhTEMb\n3O0tJwhaxIkhRERERD2VlUqBRB8neDpY4Wxjm9TldGAIJCIiIupiCoWAWC9HONmoUNnYKnU5ABgC\niYiIiMxCpVSgj68WHvYaVDfppC6HIZCIiIjIXFRKBaI9HWGlFNCiM0haC0MgERERkRlZqRRI9HWC\nXgQqG1thFEVJ6mAIJCIiIjIzR2s1En2cEOJqJ9nUsORLxBARERHJkUohwK+XHc40SHOiCEcCiYiI\niCQiCAKSfLWSvDZDIBEREZGEbNRKSV6XIZCIiIhIhhgCiYiIiGSIIZCIiIhIhhgCiYiIiGSIIZCI\niIhIhhgCiYiIiGSIIZCIiIhIhhgCiYiIiGSIIZCIiIhIhhgCiYiIiGSIIZCIiIhIhhgCiYiIiGSI\nIZCIiIhIhhgCiYiIiGSIIZCIiIhIhhgCiYiIiGRI8hBYW1uLsWPHIjIyEtHR0dixY0enxzdt2gSt\nVoukpCQkJSXhhRdekKhSIiIiop5D8hA4c+ZMDBkyBEVFRdi9ezciIyMv2iYzMxP5+fnIz8/H3Llz\nr2q/27ZtM3Wp3QL7lg859gzIs2859gzIs2859gywb6lIGgLr6uqwefNmPPjggwAAlUoFR0fHi7YT\nRfGa952bm3vD9XVH7Fs+5NgzIM++5dgzIM++5dgzwL6lImkIPH78OHr16oUHH3wQSUlJmDJlCpqb\nmy/aLjc3FwkJCRg6dCj2798vQaVEREREPYukIVCv1yM/Px8zZsxAfn4+bG1tMX/+/E7bJCcn49Sp\nUygsLMTjjz+OkSNHSlQtERERUc8hiNcz12oiFRUV6NevH44dOwYA2LJlC15++WV89913l31OUFAQ\ndu3aBRcXl4seEwShy2olIiIi6krmjmQqs77aH3h4eMDPzw+HDh1CWFgY1q9fj6ioqE7bVFRUwMPD\nAwCQl5cHURQvGQAB8//jEREREXVXkoZAAFiwYAEmTZoEnU6H4OBgLF68GNnZ2RAEAVOmTMHy5cux\naNEiqNVq2NjYYNmyZVKXTERERNTtSTodTERERETSkHydwKtVXFyMW2+9FdHR0YiNjcWCBQsAAOfO\nncPtt9+O8PBw3HHHHaitre14zksvvYTQ0FBERkbixx9/7Lh/6dKliIuLQ0JCAoYMGYLq6mqz93O1\nTNn3smXLEB8fj9jYWDzzzDNm7+VaXGvf1dXVuPXWW+Hg4ICsrKxO+8rPz0dcXBzCwsIwa9Yss/dy\ntUzZ89y5c+Hv73/JJZcsjan6bm5uxrBhwxAZGYnY2Fj87W9/k6Sfq2HK93rw4MFITExEbGwspk+f\nbtGHxZiy798NHz4ccXFxZuvhWpmy51tuuQURERFITExEUlISzp49a/Z+rpYp+9bpdJg6dSrCw8MR\nFRWFFStWmL2fq2WqvhsaGjre58TERLi5uWH27NmmL1jsJsrKysSCggJRFEWxvr5eDAsLE4uKisSn\nnnpKfPnll0VRFMX58+eLTz/9tCiKovjbb7+JCQkJok6nE48fPy6GhISIRqNR1Ov1oru7u1hdXS2K\noig+9dRT4rx586Rp6iqYqu+qqirR399frKqqEkVRFB944AHx559/lqapq3CtfTc2Nopbt24Vs7Oz\nxSeeeKLTvlJSUsS8vDxRFEVx8ODB4rp168zYydUzZc87duwQy8vLRQcHB/M2cR1M1XdTU5O4ceNG\nURRFUafTiRkZGbJ4r+vr6zu+vvvuu8Vly5aZqYtrZ8q+RVEUv/nmG3HSpElibGys+Zq4Rqbs+eab\nbxbz8/PN28B1MmXff//738Xnnnuu4/bvn2OWyNTf479LTk4Wt2zZYvJ6u00I/KMRI0aIP/30kxge\nHi6Wl5eLotj+jx8eHi6Koii+9NJL4vz58zu2v/POO8Xt27eLOp1OdHd3F0+ePCkajUZx2rRp4vvv\nvy9JD9fjevv+9ddfxYEDB3bc/9lnn4kzZswwb/E34Ep9/+7jjz/u9B+prKxMjIyM7Li9dOlScdq0\naeYp+gZdb88X6g4h8I9M0bcoiuLMmTPFDz74oEtrNRVT9NzW1ibedddd4ldffdXl9ZrKjfTd0NAg\nZmRkiEVFRRYdAv/oRnq++eabxZ07d5qtVlO6kb79/PzEpqYms9VqSqb4v33w4EHR39+/S+rrNtPB\nFzpx4gQKCwuRlpbW6exhT09PnDlzBgBQUlICPz+/juf4+PigpKQEKpUKCxcuRGxsLHx9fVFUVISH\nH35Ykj6u1Y303bt3bxw8eBCnTp2CXq/Ht99+i9OnT0vSx7W6mr4vp6SkBL6+vh23fX19UVJS0qX1\nmsKN9NydmarvmpoafPfdd7jtttu6qlSTMUXPd955Jzw9PeHo6IgxY8Z0Zbkmc6N9P/fcc/jLX/4C\nGxubri7VZEzxXj/wwANISkrCCy+80JWlmtSN9P37tOncuXORnJyMcePGobKysstrNgVT/TxbtmwZ\nxo0b1yU1drsQ2NDQgDFjxuCtt96Cvb39RWsDXmmtQL1ej0WLFmH37t0oKSlBbGwsXnzxxa4s2SRu\ntG+tVotFixbhnnvuwU033YSgoCAolcquLNkkbrTv7kiOPQOm69tgMGDixImYNWsWAgMDu6BS0zFV\nz+vWrUNZWRlaW1vx888/d0WpJnWjfe/evRtHjx7F8OHDIbbPaHVluSZhivd6yZIl2Lt3LzZv3ozN\nmzfj888/76pyTcYUn9nFxcUYMGAAdu3ahbS0NMyZM6crSzYJU/4c//LLLzFhwgRTlwigm4VAvV6P\nMWPG4L777sOIESMAtK81WFFRAQAoLy+Hu7s7gPYRsAtHuoqLi+Hj44PCwkIIgtDx4XDPPfdIfu2+\nKzFF3wAwdOhQbN++HVu3bkVYWBjCwsLM3Mm1uZa+L+fP/j0skSl67o5M2feUKVMQHh6OJ554osvq\nNQVTv9dWVlYYPnw4Vq5c2SX1moop+s7NzcWuXbsQHByMjIwMHDp0CLfeemuX1369TPVee3l5AQDs\n7OwwceJE5OXldV3RJmCKvl1dXWFnZ4dRo0YBAMaOHYuCgoKuLfwGmfL/9p49e2AwGJCYmNgltXar\nEPjQQw8hKioKM2fO7Lhv+PDh+PjjjwEAn3zyScc/+PDhw/Hll1+ira0Nx48fx5EjR5CSkgIfHx/s\n378fVVVVAICffvoJkZGRZu/lWpiibwAdQ+jnzp3DwoUL8cgjj5i3kWt0LX1f6MJRAU9PTzg5OXUs\nNP7pp59e8jmWwhQ9X839lsZUfc+dOxd1dXV44403urReUzBFz42NjSgvLwfQ/sGzZs0aREREdG3h\nN8gUfU+bNg3FxcU4duwYtmzZgvDwcIseATVFzwaDoeNzS6fTYfXq1YiJienawm+Qqf5f33XXXdiw\nYQMAICcn56KLSlgaU/4cX7p0aZeNAv7+ot3Cli1bRIVCIcbHx4sJCQliYmKiuHbtWrGqqkq87bbb\nxLCwMHHQoEHiuXPnOp7z4osviiEhIWJERIT4ww8/dNyfnZ0tRkZGivHx8eLw4cM7zhS2RKbse8KE\nCWJUVJQYHR1t8QePX0/fgYGBoqurq+jg4CD6+fmJRUVFoiiK4s6dO8WYmBixd+/eYlZWllQtXZEp\ne37qqadEX19fUalUin5+fhZ9Bryp+i4uLhYFQRCjoqI69vPhhx9K2NnlmarniooKsW/fvmJ8fLwY\nGxsrZmVliQaDQcLO/pwpv8d/d+LECYs+McRUPTc2NorJyclifHy8GBMTI86aNUs0Go0SdvbnTPle\nnzx5UszMzBTj4+PFgQMHiqdPn5aqrSsy9fd4SEiIePDgwS6rl4tFExEREclQt5oOJiIiIiLTYAgk\nIiIikiGGQCIiIiIZYggkIiIikiGGQCIiIiIZYggkIiIikiGGQCKiK5g3bx5ef/11qcsgIjIphkAi\nIiIiGWIIJCK6hH/+858IDw9HZmYmDh48CAB4++23ER0djYSEBEycOFHiComIboxK6gKIiCxNfn4+\nvvrqK+zZswdtbW1ISkpCcnIy5s+fjxMnTkCtVqOurk7qMomIbghHAomI/mDz5s0YNWoUNBoNHBwc\nOi72Hh8fj4kTJ+KLL76AUqmUuEoiohvDEEhEdAWiKEIQBKxZswaPP/448vPz0bdvXxiNRqlLIyK6\nbgyBRER/kJmZiW+//Ratra2or6/Hd999B6PRiFOnTuGmm27C/PnzUVdXh4aGBqlLJSK6bjwmkIjo\nDxITEzFu3DjExcXBw8MDKSkpEAQB9957L2prawEAM2fOhKOjo8SVEhFdP0EURVHqIoiIiIjIvDgd\nTERERCRDDIFEREREMsQQSERERCRDDIFEREREMsQQSERERCRDDIFEREREMsQQSERERCRDDIFERERE\nMsQQSERERCRDkobA1tZWpKamIjExEbGxsZg3b95F22zatAlarRZJSUlISkrCCy+8IEGlRERERD2L\npNcO1mg02LBhA2xtbWEwGNC/f38MHjwYKSkpnbbLzMzEqlWrJKqSiIiIqOeRfDrY1tYWQPuooF6v\nhyAIF23DyxsTERERmZbkIdBoNCIxMRGenp4YNGgQ+vbte9E2ubm5SEhIwNChQ7F//34JqiQiIiLq\nWQTRQobZ6urqMHLkSLzzzjuIiorquL+hoQEKhQK2trZYu3YtZs6ciUOHDklYKREREVH3ZzEhEACe\nf/552NnZYfbs2ZfdJigoCLt27YKLi8tFj7m6uqKtrQ1A+/GGoihCo9F0Wb2WyNHREXV1dVKXYXZy\n7FuOPQPy7FuOPQPy7FuOPQPy7Lu1tRWCIKC1tRVA+6CX2SOZKKHKykqxpqZGFEVRbGpqEjMyMsQ1\na9Z02qa8vLzj6x07dogBAQGX3d+F7cyePdu0xXYT7Fs+5NizKMqzbzn2LIry7FuOPYsi+xbFzhnG\nXCQ9O7isrAz3338/jEYjjEYjxo0bhyFDhiA7OxuCIGDKlClYvnw5Fi1aBLVaDRsbGyxbtkzKkomI\niIh6BElDYGxsLPLz8y+6f+rUqR1fz5gxAzNmzDBnWUREREQ9nuRnB3eVfv36SV2CJNi3fMixZ0Ce\nfcuxZ0CefcuxZ4B9S8WiTgy5UYIgdBxUWVpaCm9vb4krMj/2LR9y7BmQZ99y7BmQZ99y7Blg30Dn\nDGMuPXYkkIiIiIgujyGQiIiISIYYAomIqFswGkX8fPis1GWQmbToDNhyrErqMno0hkAiIuoWNh+v\nwi0THrwAACAASURBVG3/zsW+MnktKixXH+44hYx3t+FEdZPUpfRYDIFERNQtGIztf7fqjdIWQmah\nM7afJFHV2CZxJT0XQyARERGRDDEEEhEREckQQyARERGRDDEEEhFRt9CDrm1AV4Hvd9djCCQiIiKS\nIYZAIiIiIhliCCQiIiKSIYZAIiLqFniEmLzw/e56DIFEREREMiRpCGxtbUVqaioSExMRGxuLefPm\nXXK7rKwshIaGIiEhAYWFhWaukoiIiKjnUUn54hqNBhs2bICtrS0MBgP69++PwYMHIyUlpWObtWvX\n4ujRozh8+DB27NiBadOmYfv27RJWTURERNT9ST4dbGtrC6B9VFCv10MQhE6Pr1y5EpMnTwYApKam\nora2FhUVFWavk4iIpMVl4+SF73fXkzwEGo1GJCYmwtPTE4MGDULfvn07PV5SUgI/P7+O2z4+Pigp\nKTF3mURE9P/s3XlAVWX+P/D3uSyKIJsocC+LCpdFRTZxIffM1ApbSM3KMid10tSRGVvGpmnadGa0\nqSx/1kyWaWrfcrQ0adTKUkBURM09F7aLeFlEFhXhnt8f5k0EFeXcc+A+79c/cLmHw+fzPOcePvc5\nz3MuEdkVzYtAnU6HPXv2ID8/Hzt27MDBgwe1DomIiIjI7mk6J/Bq7u7uGDJkCFJTU9GtWzfrzw0G\nA/Ly8qyP8/PzYTAYGt2Ht7c3UlJSAABVVVUYNmwYEhMTbRt4C2M2m7UOQRMi5i1izoCYeYuYM9Aw\n74rSMvjrqnG2uAgmh2qNorIt9vVvas+V2HV/p6WlYfPmzXB1ddUsBk2LwOLiYjg5OcHDwwPnz5/H\npk2b8Pzzz9fbJikpCe+99x7Gjh2LjIwMeHp6wtfXt9H9lZaWYsGCBQAAk8kEvV5v8xxaIuYtDhFz\nBsTMW8Scgfp5u1U4otDSDp4+vtDrPTWMyrbY15c5tD+PQkuR3fZ3cnIyEhMTrXkvXLhQ9Rg0LQIL\nCwvxxBNPwGKxwGKxYOzYsRg1ahSWLFkCSZIwefJkjBo1Ct988w1CQ0Ph6uqKpUuXahkyERERkV3Q\ntAiMiopCVlZWg59PmTKl3uNFixapFRIRERGREDRfGEJERNQUvGWIWGR+cJzNsQgkIiIiEhCLQCIi\nIiIBsQgkIiIiEhCLQCIiahU4Q0wsnANqeywCiYiIiATEIpCIiIhaLEnSOgL7xSKQiIiISEAsAomI\nqFWQOUlMKFd6WwKHAm2FRSARERGRgFgEEhEREQmIRSARERGRgFgEEhFRq8AZgWK5MgeUq4Nth0Ug\nERERkYBYBBIREREJSNMiMD8/H0OHDkX37t0RFRWFd955p8E2W7duhaenJ+Li4hAXF4fXXntNg0iJ\niEhrvEOMWKy3iOHlYJtx1PSPOzpi4cKFiImJQWVlJeLj4zF8+HBERETU227gwIH46quvNIqSiIiI\nyP5oOhLo5+eHmJgYAICbmxsiIyNRUFDQYDveIJSIiIhIWS1mTuCpU6eQnZ2NPn36NHguPT0dMTEx\nuOeee3Dw4EENoiMiIiIt8BNDbEfTy8FXVFZWIjk5GW+//Tbc3NzqPRcfH4/c3Fy0a9cOGzduxP33\n34+jR49qFCkREWmF14TEwouAtqd5EVhbW4vk5GQ8/vjjGD16dIPnry4KR44ciWeeeQalpaXw9vZu\nsK23tzdSUlIAAFVVVRg2bBgSExNtF3wLZDabtQ5BEyLmLWLOgJh5i5gz0DDvqrJS+Ouqcba4CCaH\nao2isi329W/kysv9XWYuggmVGkRlW2lpadi8eTNcXV01i0HzIvCpp55Ct27dMHPmzEafLyoqgq+v\nLwAgMzMTsiw3WgACQGlpKRYsWAAAMJlM0Ov1tgm6hWPe4hAxZ0DMvEXMGaift+tZBxRa2sHTxxd6\nvaeGUdkW+/oyya0KhZYz8O7kC72/u0ZR2U5ycjISExOteS9cuFD1GDQtArdv344VK1YgKioKsbGx\nkCQJb7zxBnJyciBJEiZPnowvvvgCixcvhpOTE1xcXLB69WotQ6ZW5FBRBUI6uMLZscVMfSUiImox\nNC0C77jjDtTV1d1wm2nTpmHatGkqRUT2pNvff8Cz/TvjnQeitA6FiBTAO0WIReYsUJvjEAnZtfOX\nbvwmg4iISFQsAomIiIgExCKQiIiISEAsAsmucQoRkf3g61ks7G/bYxFIREStAmsCsbC/bY9FIBER\nEZGAWASSXeM7SSIiosaxCCQiIiISEItAsmucWExE1LpJWgdgx1gEEhERUYvF9/K2wyKQiIhaBX5s\nnFjY3bbHIpCIiIhaLF4Oth0WgUREREQCYhFIREREJCDFi8CysjLs27dP6d0S3RbOISKyH3w1i4Xn\nb9tTpAgcPHgwzp07h9LSUsTFxeHpp5/G7Nmzldg1EREREdmAIkVgeXk53N3dsWbNGkyYMAE7duzA\n5s2bb/p7+fn5GDp0KLp3746oqCi88847jW43Y8YMGI1GxMTEIDs7W4mQiYiIiISmSBFYW1uLwsJC\nfP7557j33nub/HuOjo5YuHAhDhw4gPT0dLz33ns4fPhwvW02btyI48eP49ixY1iyZAmmTp2qRMgk\nCF5MICIiapwiReBf/vIX3H333QgNDUVCQgJOnDgBo9F409/z8/NDTEwMAMDNzQ2RkZEoKCiot826\ndeswYcIEAECfPn1QXl6OoqIiJcImIqJWhFPExMLutj1HJXYydOhQPPzww9bHXbt2xZdffnlL+zh1\n6hSys7PRp0+fej8vKChAYGCg9bHBYEBBQQF8fX2bFzQJgf80iOyHzLJAKDx/254iRWDfvn0RExOD\niRMnYuTIkZCkW7u1Y2VlJZKTk/H222/Dzc3ttuPw9vZGSkoKAKCqqgrDhg1DYmLibe+vNTKbzVqH\noInG8vbXVcP5wlmYTCYNIrI99rU4RMwZaJj3+TIz/HXVOFtcBJNDtUZR2Rb7+ipVpfDXVaPMXAST\nXKl+UDaWlpaGzZs3w9XVVbMYFCkCjx49is2bN+Ojjz7CjBkzMGbMGDz55JMICwu76e/W1tYiOTkZ\njz/+OEaPHt3geYPBgLy8POvj/Px8GAyGRvdVWlqKBQsWAABMJhP0ev1tZtS6Me/LCi3tUNPW067b\nw55zuxER8xYxZ6B+3i7FQKElF54+vtDrPTWMyrbY179yrUChpRheHX2h93fXJigbSk5ORmJiojXv\nhQsXqh6DInMCJUnCXXfdhZUrV+LDDz/EJ598gt69e2PQoEFIT0+/4e8+9dRT6NatG2bOnNno80lJ\nSVi2bBkAICMjA56enrwUTE3GqwlERESNU2QksKSkBMuXL8enn34KX19fvPvuu0hKSkJ2djYefvhh\nnDx5stHf2759O1asWIGoqCjExsZCkiS88cYbyMnJgSRJmDx5MkaNGoVvvvkGoaGhcHV1xdKlS5UI\nmYTBMpCIiKgxihSB/fr1w+OPP461a9ciICDA+vNevXrd8JYud9xxB+rq6m66/0WLFt12bJuOmHFX\neMfb/v3WZkdOGR4Q9FLCuQuXcKioEucu1GJYmI/W4dicLMvYfNSMYWHiHN8iq6m1ID2nFINC7P/Y\nvtruvLOQAXi6OGkdimrOnr+Eo+ZK9A7y0joU1W0/WYo2jjr4u7fROhQhKFIEHjly5LqLQZ577jkl\n/sRtqbxYi+EfZGDXrAGID7Tf+SNXXKytw7Q1PyMowCBEvtf667dH8daPJwAA659K0Dga2zt8phJ3\nLT+KPbMHIsbgoXU4ZGPLd+dj0ud78csLQxHio91EcrX1+tdP1u8/fzxOw0jU8+I3h7A4LQdnXhmO\njm5iFUP9F20HABh9XDEuVswBDTUpUgQWFxfj73//Ow4cOIALFy5Yf/7dd98psfvbZhFsfblg6TZQ\nU2fROgRVWX7t7zqL4B0viNpf+/ns+UsaR6IdUY70mtrLmZZU1QhXBF5xSbDzuVYUWRjy6KOPIiIi\nAidPnsTLL7+Mzp07IyHB/kdiqAW7xdsUERFRy8FTuDoUKQJLSkowadIkODk5YdCgQfjoo480HwUE\nxBsZEyzdBq7ub6mRn9kbe86NGuKNksVxpa9v9Z67RLdKkcvBTk6XJ+z6+/tjw4YN0Ov1KC0tVWLX\nRLeF504i+8M3PuKQILG/VaBIETh37lyUl5djwYIFePbZZ3Hu3Dm89dZbSuy6WUQ7fmTBXzFXj5RY\nRwK1CUUV9pwbNST4y1so7GtSiyJF4L333gsA8PDwwPfff6/ELomahZdRiKi1E/o0JnLuKmpWEfjs\ns8/e8J/tO++805zdN5toI2OCpduAePkLl7DQ2NviYF+TWpq1MKRXr16Ij4/HhQsXkJWVBaPRCKPR\niOzsbNTU1CgVIzXRlROHaMVvY0RYGEIkGr6cxSGB/a2GZo0EPvHEEwCAxYsXY9u2bXB0vLy7qVOn\nYsCAAc2PrplEO4BEL3gaS9+eV1SK3t+iYX+L48obeV4RJVtT5BYxZWVlOHfunPVxZWUlysrKlNg1\n3YIrBQ//Vwg+l4aIqJXjOVwdiiwMef755xEbG4shQ4ZAlmX8+OOP+Otf/6rErpuF75zFcvVlcBHO\nHzy8xcJpHuKc0wVJ86Z4zNueIkXgxIkTMXLkSOzYsQMAMH/+fPj5+Smx62YR7QC6kq5gaVvJ1/ne\nXol2fIuOvS3OMX8lTd7lgGytWZeDDx8+DADIysqCyWRCYGAgAgMDYTKZkJWVpUiA1HRinB6JiEgk\nLIZtp1kjgQsWLMCHH36IlJSUBs9JktQiPjpOJKK8S74lbBIiolZHEmJSj/aaVQR++OGHANCsG0RP\nmjQJ69evh6+vL/bt29fg+a1bt2L06NHo2rUrAODBBx/E3Llzm7Rv0W6ZIl/zVWSCdDmRUPiyFsfV\nt4gR5X+4FppVBK5Zs+aGzz/44IM33cfEiRPx7LPPYsKECdfdZuDAgfjqq69uOT7RjhvR8r1WY/nb\nc5PYc27UkOivb5FcudMDx8Iu4+Vg22lWEfj1119f9zlJkppUBPbv3x85OTk33OZ23wWINjImi74y\n5CpsASL7w9e1QFj3qaJZReDSpUuViuOG0tPTERMTA4PBgH/84x/o1q1bk35PtCFksbJtSLDuZocL\nxp5vfE71CXcuI80ocrPo8vJyzJ49G7169UKvXr2QkpKC8vJyJXaN+Ph45ObmIjs7G9OnT8f999/f\n5N/9bT6BIqG0eNaBQG3DaFHYFkT2QYJ4b+xFvgp6ub+1jsL+KXKfwKeeego9evTA559/DgD49NNP\nMXHixJvOGWwKNzc36/cjR47EM888g9LSUnh7ezfY1tvb27pSuaqqCr3uGAx/nYTy4jMwOZ1vdiwt\nXWn1JfjoLqC85AxMzhe0DkdVZrMZjhfK4K+rBgBUlprhr6tG24tnYTKZNI7ONirLS+Gvq8bZ4iKY\nHKq1Dkc1ZrNZ6xBUZzabcelcjXD9bTabra9pCcDF8mK7bwOz2QznC2fhr6tGyZnTaHvRReuQVHHl\ndX2lv70sFkhVbeCvq0aZuQgmS4WW4dlEWloaNm/eDFdXV81iUKQIPH78OL788kvr45dffhkxMTFN\n/n1Zlq/7Dq+oqAi+vr4AgMzMTMiy3GgBCAClpaVYsGABAMBkMkF29cLT2Zvh7tMJer1Xk+NprXTn\nLqDY0hbu3p2g1zfeRvbsUlsZhb+eKFy9fFBoaYcLbTyh1+s1jsw2XPPPotBSCk8fX+j1nlqHoyp7\n7dMbcSy/gELLaeH6u9CSCwDQSUAbDx8UWvLtvg0utqlDoaUKPp38oe/QTutwVKPX61FouZyvh4Mb\nZFdvFFpK4dXRF3q/9hpHp7zk5GQkJiZaz2cLFy5UPQZFikAXFxds27YN/fv3BwBs374dLi5Ne/cy\nfvx4/PDDDygpKUFQUBBeeeUV1NTUQJIkTJ48GV988QUWL14MJycnuLi4YPXq1U2OS7ShZMHSbaDR\n1cF2fBDYcWrUCHa3ONjXpBZFisDFixfjiSeesM4D9PLywieffNKk3/3ss89u+Py0adMwbdq024pL\nFm1S4K/EyrZxbAMi+8I5YmJhf6tDkSIwMjISc+bMwfHjx3H27Fl4eHhg7dq16NmzpxK7v22iraYT\n/QUjWvqi5Ss6ex7Vpvqu9LXIC0NIHYoUgaNHj4anpyfi4uJgMBiU2KUiRFste6XoFa34bYxofU9k\n91gRCYXdrQ5FisD8/HykpqYqsStFiVYAiD5QINpIiVjZEvtbnDYQJc+b4YCG7Slyn8DExETs379f\niV1RMwhWAzUN24SIWikOhpGtNWskMCoqCpIkoba2FkuXLkXXrl3Rpk0byLIMSZKwb98+peK8LaJ9\nipr1XZMg+d4Im4DIvkjgyBCR0ppVBK5fv16pOGxCtBOGKMXu9QiXvugdLhh2tzjY16SWZhWBwcHB\nSsVhE6ItDpCv+So0+coiGSKyB5LE4kgkEiT2twoUmRPYUol2/Ij+ghEtf8HSFZ5ox7fIrlzF4gpZ\nsjX7LgKto0FinD2tt4gRI90bYhMQ2RfWQ2JhAawO+y4CtQ5AZaIXf40V+/Z82xg7To0aIcqbWeJr\nm9Rj30WgYJPkfktXkIRvgCdRIvsi4hwxSeDxz8urwcnW7LwI5CEkEtG6W7B0hSfa8S0ydjWpxb6L\nwGu+2jvrHEhREr4B0fqeyO6JOygmpKvnBLLrbce+i0DBKgDB0m1AuP4WLF/RsbvFwatY9bE1bMe+\ni8ArXwU5gkTJsym4UprIvkhgcSQWif2tAvsuAgU7gETL91piZ0/27srrW+RbZ4jyGhclz6YS+JC3\nOc2LwEmTJsHX1xc9e/a87jYzZsyA0WhETEwMsrOzm7xv0VbLijbyea16RbAAbSB60S8a9rY4+NKu\nj81hO5oXgRMnTsS333573ec3btyI48eP49ixY1iyZAmmTp2qYnStC08cRGTPeIoTC/vb9jQvAvv3\n7w8vL6/rPr9u3TpMmDABANCnTx+Ul5ejqKioSfsWrSgSLF0iEojIl8FFxNXB6tC8CLyZgoICBAYG\nWh8bDAYUFBQ06XdFWxwg2sfk3QhbgMi+CHmzaIGrn8sLgbSOwv45ah2Akry9vZGSkgIAqKqqQkSv\nO+Cvc0ZFyRmY2tVoHJ3tlRZXwUd3ARWlZ2AyXdI6HFWZzWa0uXgW/rpqAEB1mRn+umq0rSmHyWTS\nODrbqD5XBn9dNc4WF8HkUK11OKoxm81ah6A6s9kMS8WF3/pbJ0Z/m81m62u6raRDzbliuz/mzWYz\n2v56LisuOg1ddRutQ1LFldf1lf72qJOgq3aAv64aZeYimCwVWoZnE2lpadi8eTNcXV01i6HFF4EG\ngwF5eXnWx/n5+TAYDI1uW1paigULFgAATCYTiiyu+MOhH9G+Qyfo9T6qxKulYpxDsaUt3Lw7Qa/v\nqHU4qrvQphaFlssnEBfPjii05KDayR16vV7jyGzD5WQpCi1n4enjC73eU+twVGWvfXojkrkKhZYz\nwvV3oSUXAOAKBzi5d0ChxWT3bXDe+SIKLRfg4+sHvaeL1uGoRq/Xo9DSDgDg59gelnZeKLSUwauj\nL/R+7TWOTnnJyclITEy0ns8WLlyoegwt4nKwLMvXXemYlJSEZcuWAQAyMjLg6ekJX1/fpu1XsIuC\nouV7LdEuHQiWrvBEf32LRPQ7PZB6NB8JHD9+PH744QeUlJQgKCgIr7zyCmpqaiBJEiZPnoxRo0bh\nm2++QWhoKFxdXbF06dIm7/vKC0i0F5Jo+TaG/zDJXkmcJk8CkMDzuBo0LwI/++yzm26zaNGi29q3\naIeP6MWfaCcMsbIl0V/fImFfk1paxOVgW7GOBAry75Injt/81vdEZA+4WlQ04q0G14J9F4GClQCi\n5Xst4U4YwiUsNva2OCx8bZNK7LsIFGw06Lc5kKJkTESikAS8aZ7Ib+wF7G5N2HcRqHUAKhMt32s1\nVvzacz1sz7lRQ+xvcbCrSS32XQRe+QQNQV5Roo18Xku+zvf2SoQc6Tcc4RenDQRJ86bYDrZn50Wg\n1hGoS+RLB0RERHRr7LoIFI1oRe+1RM+fyJ5JACy/fi/KiKDIOCVQHXZdBIp2muBd5n/z21QANgaR\nPZAk8c5touV7NUni1S012HcRKNgrSLR8ryVa9qL3t2jY2+Lga5vUYt9F4JWvgrygRF8YcjUR2kC0\n45suE/nWGfI1X8l+SZBgYUfbnH0XgTyAhCJcMSRYuqIT7fAWGbu6PraH7dh3EfjroSPKASRKnk0h\nwqioaMc3ie3ynEAe7cIQeMRbTfZdBAp2vhD9BCla9qLlKzpOkocwB73gp3JSkX0XgVe+CvKC4hwx\nsYh2fJPYJEjCHfOCpNkoDgSqw76LQMFeQaLle63G8rfnJhG9v0XD/hYHR31JLZoXgampqYiIiEBY\nWBjmz5/f4PmtW7fC09MTcXFxiIuLw2uvvdbkfVvvFadYtC0b54j95up/mHY7MirAvEeiK0S6T6Ao\ned6IBDs+d7cgjlr+cYvFgunTp2PLli3Q6/VISEjA6NGjERERUW+7gQMH4quvvrrl/Yt2+Ij+erEI\n1gBiZUvsb3Gwry9jO9iepiOBmZmZMBqNCA4OhpOTE8aNG4d169Y12O523w0IVhMIN1/mWnK97698\nYog2sahBFr3DBcNREcAiyNUOUbuax7j6NC0CCwoKEBgYaH0cEBCAgoKCBtulp6cjJiYG99xzDw4e\nPNjk/Ys2r4Kvn8bYb6OIdnwTicP+38Q2RrR8WwJNLwc3RXx8PHJzc9GuXTts3LgR999/P44ePap1\nWC0S30U1TpbF/pQFsi+iHsuX54hpHQWpRZKk3+73yo63GU2LQIPBgNzcXOvj/Px8GAyGetu4ublZ\nvx85ciSeeeYZlJaWwtvbu8H+vL29kZKSAgCoqqqCf48+8Ne1Q2XJGZhMtTbKouWoKC2Dj+4CKsvM\nMJnqtA5HVWazGe1qyuGvqwYAnC8rhr+uGu1qylFYaIJkh/85L1achb+uGmdLzsDkfEHrcFRjNpu1\nDkF1ZrMZUlXl5f42F8GEKq1DUoXZbLa+pj3giLqKEvjrqlFefAYmp/MaR2cbZrMZbpfOwV9XjZIz\np9HmYlutQ1KF2WyGRZat/e1e6wDH83Xw11WjzFwEk1ypcYTKS0tLw+bNm+Hq6qpZDJoWgQkJCfjl\nl1+Qk5MDf39/rFq1CitXrqy3TVFREXx9fQFcnkMoy3KjBSAAlJaWYsGCBQAAk8mEfecc8dcPd8DV\nuyP0el/bJtMCuFY4odjSFq5eYuR7rSqnCyi0XAQAtPX0QaElD9XOHvD310Ons78i0NntDAotFfDo\n0Al6feOvCXul1+u1DkF1lgJnFFpK4dnRF3q9h9bhqKbQcnmgoAZOcGjvjUJLETw6dLTrY77CqQqF\nlkvo0MkP+g7ttA5HNZ18/VBouZxvF0d31Lq4o9ByDl4dfaH3d9c4OuUlJycjMTHRej5buHCh6jFo\nWgQ6ODhg0aJFGD58OCwWCyZNmoTIyEgsWbIEkiRh8uTJ+OKLL7B48WI4OTnBxcUFq1evbvL+Rb1F\njLjXTORGvrPf/hdh8QvRFfY4mk/11TuVSfZ77m5JNJ8TOGLECBw5cqTez6ZMmWL9ftq0aZg2bdpt\n7ZsHkFga6297LpDsODVqhD0fy01lEaQNRO3rBnmL2hAq0vxm0bYkCzYwZs1X2zBIJexvEsnVC0NE\nOeZFuwPA1flKEKeftWTfRaDWAahMtHyvxY+NI3vG/haHqH19bd6CNoOq7LsIFG1O4JV8RUn4Bq6+\npYD93l7gyvFtr/kR/UaSeKzbu6t7l3NA1WHnRaDWEahLsHQbEK6/BctXdCyAxCFqX9vvG/aWy76L\nQOs3YhxYos2XuRERPlFNbvANkf2qNyeQx7xdurpfJYDnNhXYdxEo2JlCrGwbsjTSArIdv6cW7fgW\n3ZXulsDLZPZO1GL3eukK1gyqsu8i8Jqv9u63OZCiZHyNq9IW4eQp2vEtOvazOG0g6jn82vO2RYQT\nucbsuwgU7PgRLV8iIrIfoha/WrLvIlCwT1QQfY6YCJ8ScjUR5j3Sb4S//C9Jwsx7FuWm2Neqd4hz\n1oMq7LoIFI3o/ySul7/gzUJkNzhSRKQsuy4CRfvnL1i6TWPHjSLa8S060bv76tXBohAsXVw7ECha\n/lqw7yLwmq+iEC3fRgnw3+K349v+cyXi1UH7d/XVHK6CV4d9F4GC/W8ULd9rNZa+DPstkkTvb9H8\nNh9O3I4X5Y2PqK9tQdPWlJ0XgWLdMkW0hTA3IkQT8GMCSSD8FDH7V+9m0bwerAr7LgK1DkBlohcD\nouUvWLrCE33hFyBOG4iRZUPX9i/vgGB7mheBqampiIiIQFhYGObPn9/oNjNmzIDRaERMTAyys7Ob\nvG/5t2sHQhDlUklTiHArCZ4YSSQSJOFvg2XvGiwMYT/bnKZFoMViwfTp0/Htt9/iwIEDWLlyJQ4f\nPlxvm40bN+L48eM4duwYlixZgqlTpzZp32lpacIVQ7IMXMw9oHUYmkhLS2v0hCHLst2eSI7t26V1\nCJpIS0vTOgTVXT6fiUfYvrZO9RCn1xs7h4vwP1zrY1zTIjAzMxNGoxHBwcFwcnLCuHHjsG7dunrb\nrFu3DhMmTAAA9OnTB+Xl5SgqKrrpvtPT04UYDbqaLMuoyTtot0XPjaSnp9d7LEIT/LJ/NwDx3i1f\n29ciSE9PF/LSWL2+lsTIXcTjG6h/jAMQZjm41v2taRFYUFCAwMBA6+OAgAAUFBTccBuDwdBgm+sR\n4HxRj2j5XkuEd40kMB7ewhC1q0Ua+WwpHLUOQGlfHzgNAMgpq4acXw4AyMw9Cwed/b+t2P1rvrvy\nzsLZUfPpnqrKKatGfvkF6+Ns0+W2MJ27iPUHi9DGDtujtPoSAGD7qVJU1NRqHI16csqqra9zUeSU\nVeN8SRUAYOvxEuSdPa9xROrIKasGvC5/X1xVgyPmSgDAtpOlKD1/ScPIbCenrBomj8vnsu+OlY/0\nTgAAIABJREFUFePwmUqNI1JHTlk1/nfUbH1ceO4i6n79/LwfjhdfPhbskNbnM0nWsPTOyMjAX//6\nV6SmpgIA5s2bB0mS8Nxzz1m3mTp1KoYMGYKxY8cCACIiIrB161b4+vo22J/EewgQERFRK6V2Sabp\nSGBCQgJ++eUX5OTkwN/fH6tWrcLKlSvrbZOUlIT33nsPY8eORUZGBjw9PRstAAEOJRMRERE1laZF\noIODAxYtWoThw4fDYrFg0qRJiIyMxJIlSyBJEiZPnoxRo0bhm2++QWhoKFxdXbF06VItQyYiIiKy\nC5peDiYiIiIibbSa2fL5+fkYOnQounfvjqioKLzzzjsAgLKyMgwfPhzh4eG4++67UV5ebv2dN998\nE0ajEZGRkfjf//5n/fnKlSvRs2dPxMTEYNSoUSgtLVU9n6ZSMu/Vq1cjOjoaUVFReOGFF1TP5Vbc\nat6lpaUYOnQo2rdvjxkzZtTbV1ZWFnr27ImwsDDMmjVL9VyaSsmc586di6CgILi7u6uex61SKu/z\n58/j3nvvRWRkJKKiovDiiy9qkk9TKNnXI0eORGxsLKKiovDMM8+06GkxSuZ9RVJSEnr27KlaDrdK\nyZyHDBmCiIgIxMbGIi4uDsXFxarn01RK5n3p0iVMmTIF4eHh6NatG/773/+qnk9TKZV3ZWWltZ9j\nY2PRsWNHzJ49W/mA5VaisLBQ3rNnjyzLslxRUSGHhYXJhw4dkufMmSPPnz9flmVZnjdvnvzcc8/J\nsizLBw4ckGNiYuRLly7JJ0+elENCQmSLxSLX1tbKnTp1kktLS2VZluU5c+bIr7zyijZJNYFSeZeU\nlMhBQUFySUmJLMuy/OSTT8rfffedNkk1wa3mXVVVJW/fvl1esmSJ/Oyzz9bbV+/eveXMzExZlmV5\n5MiRcmpqqoqZNJ2SOe/YsUM+ffq03L59e3WTuA1K5V1dXS3/8MMPsizL8qVLl+QBAwYI0dcVFRXW\n7x966CF59erVKmVx65TMW5Zlec2aNfKjjz4qR0VFqZfELVIy58GDB8tZWVnqJnCblMz75Zdfll96\n6SXr4yv/x1oipY/xK+Lj4+Vt27YpHm+rKQKvNXr0aHnTpk1yeHi4fPr0aVmWLzd+eHi4LMuy/Oab\nb8rz5s2zbj9ixAg5IyNDvnTpktypUyc5JydHtlgs8tSpU+UPP/xQkxxux+3mvXPnTnnYsGHWn3/6\n6afytGnT1A2+GW6W9xUff/xxvRdSYWGhHBkZaX28cuVKeerUqeoE3Uy3m/PVWkMReC0l8pZlWZ45\nc6b873//26axKkWJnGtqauT77rtP/vzzz20er1Kak3dlZaU8YMAA+dChQy26CLxWc3IePHiwvGvX\nLtViVVJz8g4MDJSrq6tVi1VJSry2jxw5IgcFBdkkvlZzOfhqp06dQnZ2Nvr27YuioiLramE/Pz+c\nOXMGwPVvMu3o6Ij3338fUVFRCAgIwKFDhzBp0iRN8rhVzck7NDQUR44cQW5uLmpra7F27Vrk5eVp\nksetakre11NQUICAgADr48ZuSN4SNSfn1kypvM+ePYuvv/4ad955p61CVYwSOY8YMQJ+fn5wd3dH\ncnKyLcNVTHPzfumll/DHP/4RLi4utg5VMUr09ZNPPom4uDi89tprtgxVUc3J+8pl07lz5yI+Ph5j\nx46F2Wy+4e+0FEqdz1avXm29TZ7SWl0RWFlZieTkZLz99ttwc3NrcG/Am90rsLa2FosXL8bevXtR\nUFCAqKgovPHGG7YMWRHNzdvT0xOLFy/GmDFjMGjQIHTp0gUODg62DFkRzc27NRIxZ0C5vOvq6jB+\n/HjMmjULnTt3tkGkylEq59TUVBQWFuLixYv47rvvbBGqopqb9969e3H8+HEkJSX9+vngLXce5BVK\n9PVnn32G/fv346effsJPP/2E5cuX2ypcxSjxPzs/Px/9+/fH7t270bdvX6SkpNgyZEUoeR5ftWoV\nHnnkEaVDBNDKisDa2lokJyfj8ccfx+jRowEAvr6+1s8SPn36NDp16gTg8gjY1SNd+fn5MBgMyM7O\nhiRJ1n8OY8aM0fyz+25GibwB4J577kFGRga2b9+OsLAwhIWFqZzJrbmVvK/nRu3REimRc2ukZN6T\nJ09GeHg4nn32WZvFqwSl+9rZ2RlJSUkNPn+9pVEi7/T0dOzevRtdu3bFgAEDcPToUQwdOtTmsd8u\npfra398fAODq6orx48cjMzPTdkErQIm8O3ToAFdXVzzwwAMAgIcffhh79uyxbeDNpORre9++fair\nq0NsbKxNYm1VReBTTz2Fbt26YebMmdafJSUl4eOPPwYAfPLJJ9YGT0pKwqpVq1BTU4OTJ0/il19+\nQe/evWEwGHDw4EGUlJQAADZt2oTIyEjVc7kVSuQNwDqEXlZWhvfffx+/+93v1E3kFt1K3le7elTA\nz88PHh4eyMzMhCzLWLZsWaO/01IokXNTft7SKJX33Llzce7cObz11ls2jVcJSuRcVVWF06cvf+RU\nbW0tNmzYgIiICNsG3kxK5D116lTk5+fjxIkT2LZtG8LDw1v0CKgSOdfV1Vn/b126dAnr169Hjx49\nbBt4Myn1ur7vvvvw/fffAwA2b96Mbt262S5oBSh5Hl+5cqXNRgGv/NFWYdu2bbJOp5Ojo6PlmJgY\nOTY2Vt64caNcUlIi33nnnXJYWJh81113yWVlZdbfeeONN+SQkBA5IiJC/vbbb60/X7JkiRwZGSlH\nR0fLSUlJ1pXCLZGSeT/yyCNyt27d5O7du7f4yeO3k3fnzp3lDh06yO3bt5cDAwPlQ4cOybIsy7t2\n7ZJ79Oghh4aGyjNmzNAqpZtSMuc5c+bIAQEBsoODgxwYGNiiV8ArlXd+fr4sSZLcrVs3637+85//\naJjZ9SmVc1FRkZyQkCBHR0fLUVFR8owZM+S6ujoNM7sxJY/xK06dOtWiF4YolXNVVZUcHx8vR0dH\nyz169JBnzZolWywWDTO7MSX7OicnRx44cKAcHR0tDxs2TM7Ly9MqrZtS+hgPCQmRjxw5YrN4ebNo\nIiIiIgG1qsvBRERERKQMFoFEREREAmIRSERERCQgFoFEREREAmIRSERERCQgFoFEREREAmIRSER0\nE6+88goWLlyodRhERIpiEUhEREQkIBaBRESNeP311xEeHo6BAwfiyJEjAIB3330X3bt3R0xMDMaP\nH69xhEREzeOodQBERC1NVlYWPv/8c+zbtw81NTWIi4tDfHw85s2bh1OnTsHJyQnnzp3TOkwiombh\nSCAR0TV++uknPPDAA2jTpg3at29v/bD36OhojB8/HitWrICDg4PGURIRNQ+LQCKim5BlGZIkYcOG\nDZg+fTqysrKQkJAAi8WidWhERLeNRSAR0TUGDhyItWvX4uLFi6ioqMDXX38Ni8WC3NxcDBo0CPPm\nzcO5c+dQWVmpdahERLeNcwKJiK4RGxuLsWPHomfPnvD19UXv3r0hSRIee+wxlJeXAwBmzpwJd3d3\njSMlIrp9kizLstZBEBEREZG6eDmYiIiISEAsAomIiIgExCKQiIiISEAsAomIiIgExCKQiIiISEAs\nAomIiIgExCKQiIiISEAsAomIiIgExCKQiIiISEAsAomIiIgEpHkRmJqaioiICISFhWH+/PnX3W7n\nzp1wcnLCmjVrVIyOiIiIyD5pWgRaLBZMnz4d3377LQ4cOICVK1fi8OHDjW73/PPP4+6779YgSiIi\nIiL7o2kRmJmZCaPRiODgYDg5OWHcuHFYt25dg+3effddJCcno1OnThpESURERGR/NC0CCwoKEBgY\naH0cEBCAgoKCetuYTCasXbsWv//97yHLstohEhEREdklzecE3sysWbPqzRVkIUhERETUfI5a/nGD\nwYDc3Fzr4/z8fBgMhnrb7Nq1C+PGjYMsyyguLsbGjRvh5OSEpKSkBvsLCgpCWVmZ9bGzszPatGlj\nuwQI7u7uOHfunNZhCIftrj62uTbY7upjm6vj4sWLqKmpsT6urKxUfaBLkjUcWqurq0N4eDi2bNkC\nf39/9O7dGytXrkRkZGSj20+cOBH33XcfHnzwwUafb9++PSoqKmwZMl0jJSUFCxYs0DoM4bDd1cc2\n1wbbXX1sc21IkqR6EajpSKCDgwMWLVqE4cOHw2KxYNKkSYiMjMSSJUsgSRImT55cb3tJkjSKlIiI\niMi+aFoEAsCIESNw5MiRej+bMmVKo9t+9NFHaoREREREZPda/MKQW+Hs7Kx1CMLp16+f1iEIie2u\nPra5Ntju6mObi8OuikAuAlFfYmKi1iEIie2uPra5Ntju6mObi8OuikAiIiIiahoWgUREREQCYhFI\nREREJCAWgUREREQCYhFIREREJCAWgUREREQCYhFIREREJCAWgUREREQCYhFIt6W0ugZjlu1C8ie7\n8N62k7hwqU7rkIiIiOgWsAikW/b9L8Xo+Y+tcNLpMKanHp9lFSDgb5vw/PqDKK68qHV4RERE1ASa\nF4GpqamIiIhAWFgY5s+f3+D5r776CtHR0YiNjUXv3r2xfft2DaIkAKipteCFDYcwdtluPD80FH8e\nZsSYWD1+mJaID8dE49CZSnR94zs8tiILR85UaB0uERER3YAky7Ks1R+3WCwICwvDli1boNfrkZCQ\ngFWrViEiIsK6TXV1Ndq1awcA2L9/P8aMGYNDhw41uj+9Xg+TyaRK7KI5Zq7EI8uz4OLkgL/cZUSv\nQE94tXOGyWSCXq8HAFgsMjJzy/Dhjlys2V+IOIMHXrorDINCOkCSJI0zsC9Xtzupg22uDba7+tjm\n2pAkCWqXZJqOBGZmZsJoNCI4OBhOTk4YN24c1q1bV2+bKwUgAFRWVkKn03zwUiiyLOOjHbno+842\n3Gn0wVtJ3TDU2BFe7ZwbbKvTSejb2Rv/GRuD3bMGIiHQExNW7kGPf/yAZbvyUFtn0SADIiIiaoyj\nln+8oKAAgYGB1scBAQHIzMxssN3atWvxwgsvwGw2Y8OGDWqGKLSy6hpM/r992FNQjvcfjEJiZ28E\nerk06Xe7+rhi3r3dMGdIKJZm5uKtrSfw/PpDmNa/M2b074r2bTU99IiIiITXKobV7r//fhw6dAhr\n167F3LlztQ5HCD8eL0H0gq1w1ElY9kgsknr4NbkAvJq3qzNShoQifUZ/zLs3Elt/KUHgq5sw9Yt9\nyCs7b4PIiYiIqCk0HY4xGAzIzc21Ps7Pz4fBYLju9v3798eJEydQWloKb2/vBs+3bdsWKSkp1sf9\n+vVDYmKiskHbuVqLjA/ST+G/+09jZp8g9AnyQOc2F1BmvoCyRrY3m81N3vcwvQOG3heE3fnuWPvz\naQz951HEB3rg6T5BiPRtr1gOIriVdidlsM21wXZXH9tcHWlpaUhPT9c0Bk0XhtTV1SE8PBxbtmyB\nv78/evfujZUrVyIyMtK6zfHjxxESEgIAyMrKwujRo5GXl9fo/rgwpHmOF1fhkeVZcHKQ8PJdYegV\n5AnvRub+Xa05E4h/LjyHDzJysDrbhGAvF7x4pxFJ3f2g03ERyc1w4rb62ObaYLurj22uDS0Whmg6\nEujg4IBFixZh+PDhsFgsmDRpEiIjI7FkyRJIkoTJkyfjyy+/xLJly+Ds7AwXFxd8/vnnWoZsl2RZ\nxrJd+Zj91QE8lRCIsTF6xAZ4wsHGxVgPf3e880AUXhhqxL935OK5DYfwh3UHMHtQCJ7uG4S2Tg42\n/ftEREQi03QkUGkcCbx1Z89fwtQv9mFn7lm8PjICiV28EOTV7ua/+Csl3zFWXriE5VkFWL47H4fP\nVOKp3kH405AQdHRro8j+7QnfqauPba4Ntrv62ObaEO4WMaStbSdKEP3PH2CRZSwbH4PRUX63VAAq\nza2tE6Ymdsb3zyTiP2Oicay4CiFvfIfxn+7G4SLefJqIiEhJvE+HgGrrLHh10zG8n3YKL94ZimFh\nHdHDr32LuaGzk4MOo6P8kdTDDztzz+LfO3KR+O52ROvd8dIwI4YYfVpMrERERK0Vi0DBnCypxvjl\nuwEAy8fHolegJzq43njxh1YkSULvYC/0DvbCC3ca8UFGDiZ+vheuTg6YMyQEj8YHwMmBg9lERES3\ng/9BBbJ8dz56/etH9O3shXce6IE7jT4ttgC8VpcO7fDmPZHYO3sgftcnCO9uO4nAVzfj1U1Hce7C\nJa3DIyIianU4EiiA8vOXMG3Nfmw/WYp37++BO7p4I9hbu7l/zeHZzhmzB4dgWv/O+CK7EMt252PB\nD8cxJkaPucOMms5pJCIiak04Emjn0k6WImbBVpy/VIfl42Nxf5Rfqy0Ar9bG0QGP9grAN0/3wZon\nE1BdU4eof2zFff/Zgczcxm5rTURERFfjSKCdqq2z4I0tv+DdbSfx/JAQ3BXeCVH+LWfxh1IcdBKG\nGn0w1OiDg6cr8EFGDpI+2okAj7Z48c5Q3N/DnzefJiIiagSLQDt0qrQaj67IQm2djE8fiUGvQE/4\nCHCvvW5+7fGv+3vghTtD8e+MXPx54xHM/uogZg3sgin9OsOFN58mIiKy4uVgO7NqTwF6vfUjegV4\nYtGDPTAsrKMQBeDVfNu3xZ/vCsOuWf3xwtBQrNl3GgF/24SUrw7gTMVFrcMjIiJqETgSaCcqLtRi\n+pr92HqiBG//uvijsx3M/WsO1zZOmJLYGU/1CULq4TNYmpmH0De/w6jITvjLXUZ083PXOkQiIiLN\nsAi0AztyyvDI8t2I0Xtg+fhYxBo84NqGXXuFk4MO93X3w73dfLErrxwfZuRgwHtp6OHXHnOHGTEs\nrKPdzZUkIiK6GVYKrVidRca8747hra0n8NzQUAwP74ie/u4saK5DkiQkBHkiIcgTLw4z4sOMHDz9\nf/vQ1lGHOUNC8HivQN58moiIhMEisJXKLavGYyv24PylOix7JBa9g8RY/KGUzt7t8PqoSPxpcAg+\n3pmH99Ny8OI3hzE1sTP+MLArPFyctA6RiIjIpjQf9khNTUVERATCwsIwf/78Bs9/9tlniI6ORnR0\nNPr374/9+/drEGXL8nm2CfFv/YhovTveezAKd4WLt/hDKZ7tnDFrUAi2P3sH3hrdHTtyyhD06mb8\nbnU2TpVWax0eERGRzWg6EmixWDB9+nRs2bIFer0eCQkJGD16NCIiIqzbdO3aFT/++CM8PDyQmpqK\np59+GhkZGRpGrZ3Ki7V49r8/Y8sxMxbc1x0DunZAlw5iL/5QShtHBzwSF4CxMQb8dLIE/9mRi5gF\nW5HY2Rsv3WVEv87eWodIRESkKE2LwMzMTBiNRgQHBwMAxo0bh3Xr1tUrAvv27Vvv+4KCAtXjbAl2\n5p7FI8t3o7tfe6wYH4e4AC7+sAWdTsKgEB8MCvHB4TMVWJKegwc/3gV/9zZ4YagRD/XkzaeJiMg+\naHo5uKCgAIGBgdbHAQEBNyzy/v3vf2PkyJFqhNZi1FlkzNtyDCM/zMDTfYLwyt3h6N/VmwWgCiI6\ntcdbo3tgb8pAJPf0x1//dwRdXt+ChT8cR3VNrdbhERERNUurqSS+//57LF26FNu2bbvuNm3btkVK\nSor1cb9+/ZCYmKhGeDZxpuIi5qYeRnVNHd6/Oxjd/Z3hJVWhsLBK69CszGaz1iGo4slubhhrDEHq\nYTM27j2KDzZn495unfBk7yB4t1N/EYko7d6SsM21wXZXH9tcHWlpaUhPT9c0Bk2LQIPBgNzcXOvj\n/Px8GAyGBtvt27cPkydPRmpqKry8vK67vwsXLmDBggU2iVVtX+4zYeoXRzEm2oAnegUiNsCjxd6+\nRK/Xax2CaqYFB2HKMAu+PWLG0sxcJH50ECMiOuIvd4Whh7+6N58Wqd1bCra5Ntju6mOb215ycjKS\nk5OtjxcuXKh6DJoWgQkJCfjll1+Qk5MDf39/rFq1CitXrqy3TW5uLh566CF8+umnCAkJ0ShS9VRd\nrMXMdT/jf0fM+Oe9kRgQ0gFdO7hqHRZdxdFBh3u6+WJUZCfsKSjHhxm5GPx+GiJ9L998eng4bz5N\nREQtn6ZFoIODAxYtWoThw4fDYrFg0qRJiIyMxJIlSyBJEiZPnoxXX30VpaWleOaZZyDLMpycnJCZ\nmall2DazO+8sHlmehfCOrlg+PhZxAZ5w49y/FkuSJMQFeGJxsideGBqKD3fk4vdf7oOTToc/DQnB\nhF6BcHZsmaO3REREkizLstZBKEWv18NkMmkdxi2zWGT884fj+Pv3v2D2oK4YGeGLGEPr+OQPk8nE\nywZXKa++hI935WFFVj5yys5jar9gzBrYFV7tnBX9O2x39bHNtcF2Vx/bXBuSJEHtkozDTBorKD+P\nCZ/tQUn1JXw8Lga9g7zQqT1v/NxaebRzwsyBXTE1MRhr95/GJ7vy0fm1LXiopz/mDjOiqw8v7RMR\nUcvAa1UaWru/ELELf4TRxxVLknvi7ohOLADtRBtHB4yNNWD9pN5YPykBdRYZcW/9iBEfZCDtVKnW\n4REREXEkUAvVNbX4w7oD2HDoDOaPurz4I5QjRHZJp5MwIMQHA0J8cORMBT7MyEXyx7vQqX0bvDA0\nFMnRejjw5tNERKQBjgSqbE9+OeIW/oi8sxewYnwskqP1LAAFEd6pPf6Z1B17UwZiXIwer246hs6v\nbcY/v/8FVRd582kiIlIXRwJVYrHI+NdPJ/D65mP4w8CuGBnRCXEBHq1i8Qcpq2P7tnj+TiNmDOiC\nlVkFWJ5VgNe3HMOE+EA8f2co/N3bah0iEREJgEWgCgrPXcATK/egqOIilo6NQZ9gL/hy7p/w2jk7\nYlLfYDyREIhNR81YmpmH8HnfY3iYD/4yPAw99R5ah0hERHaMl4Nt7OsDpxGzYCs6e7XDBw9HY0RE\nJxaAVI+jgw4jI32xekI8fnwmEZ3at8HQxem4491t+OZgkeq3DCAiIjFwJNBGzl+qQ8pXB7Du59N4\nY2QEBoZ0gLGjm9ZhUQsmSRJiAjzwfkBPvHinER9k5ODZtT/DYZ2ElMFdMTEhiDefJiIixbAItIF9\npnMY9+luBHq6YMX4OMQFesC9rZPWYVErEuDpgr+NiMAfB4Xgk115+CgzDy9tPILJfYMwe7D9f3wi\nERHZHotABcmyjHd+Oom/bTqKGf274J7ITogL8ISOtwCh2+Tu4oRnB3TFlH6dse7n0/hkVx46v7YF\nD4e0wR9GuaGHv7vWIRIRUSvFIlAhRRUX8cTKPSgov4CPxkSjT7AX/LjKkxTi7KjDwzF6PNTTHxm5\nZVixdT8Gv5+GEB9X/HFwVzwYxfsNEhHRreEEIwV8c6gI0f/8AQaPtvj3wz0xMtKXBSDZhE4nIbGz\nN/58lxHZswfhvm6+ePV/xxD4t03467dHUFJVo3WIRETUSmheBKampiIiIgJhYWGYP39+g+ePHDmC\nxMREtG3bFgsXLtQgwuu7cKkOM/77M363ei9eHRGB54aGok9nb07eJ1UEeLlg7l1h2DFrAP5+byR2\n5Z1Fl9e3YOyy3cguKNc6PCIiauE0vRxssVgwffp0bNmyBXq9HgkJCRg9ejQiIiKs23To0AHvvvsu\n1q5dq2GkDf1ceHnxh969LVY8Gov4QE8u/iBNuDg54LFegRgfF4BdeWfx8a483P1BBgwebZEyKARj\nYvRwcuAbEyIiqk/T/wyZmZkwGo0IDg6Gk5MTxo0bh3Xr1tXbxsfHB/Hx8XB0bBnTF2VZxqJtJzHo\n/TQ81NMfb4yKwKAQHxaApDmdTkLvYC+8/1BPZM8eiLHReizYehwBf9uEFzccwpmKi1qHSERELYim\nlVVBQQECAwOtjwMCApCZmalhRDd2puIiJq7OxqnSavz74Wj07ezFj/iiFsnfwwXP3WnEzIFdse7n\n01i5pwChb36HO40+eH5oKPoEe2kdIhERaaxlDK+1AqmHz2DiqmyMCO+Il4YZERvggTaODlqHRXRD\nbZ0cMDbWgIej9cguOIePd+XigaU70cHVGbMHdcWjcQGcw0pEJChNi0CDwYDc3Fzr4/z8fBgMhtve\nX9u2bZGSkmJ93K9fPyQmJjYrxppaCxZtP4lvj5jx577BiA90R5DzBZScudCs/doLs9msdQhCup12\n93MAnu/TAVN6umPDgdNY8dN+/P3rnbivuy8eiw+Aj6uzDSK1HzzWtcF2Vx/bXB1paWlIT0/XNAZJ\n1vCDSevq6hAeHo4tW7bA398fvXv3xsqVKxEZGdlg21deeQVubm71irxr6fV6mEwmxeI7eLoC4z7d\nDR83Z8wdZkR8gCc8XDj372omkwl6vV7rMISjRLtfrK3DhoNn8FlWPv53tBgDu3rjuaGh6N/FG5LE\new5ei8e6Ntju6mOba0OSJNU/K17TkUAHBwcsWrQIw4cPh8ViwaRJkxAZGYklS5ZAkiRMnjwZRUVF\n6NWrFyoqKqDT6fD222/j4MGDcHOz3efwyrKM/5eeg7kbD+OZxM4Y3d2Xn/xBdqeNowMe7OmPB6L8\nsL/wHD7emY/xy7Pg1sYRswZ0wRMJgWjrxCkPRET2StORQKUpMRJYXHkRT63ei2PFVXhtRDj6dfaG\n3oOLP66H7xi1Yat2L62qwae787E624TDZyrxWLwBfxocikAvF8X/VmvDY10bbHf1sc21ocVIIGeE\nX2XTETN6/nMrvFycsHRsNO7t7ssCkITi7eqMmQO74odnEvHJIzE4U1mDHv/4AXcvycB3x4pVP0ER\nEZHtcHUwLs+N+vM3h7F8dz5eHh6GIaE+iPBtr3VYRJpxdtThvu5+uLebLw4XVWLpzjw8tTobzg46\nPDugCyb1DkQ7Z54+iIhasyaNBL777rsoKyuzdSyaOFxUgT7/2obd+eVY8WgcHokLYAFI9CtJkhDp\n1x5/v68bsmcPxMwBXfB/2SboX9mE33+xDydLqrUOkYiIblOTisCioiIkJCRgzJgxSE1NtYtLQrIs\nY0n6KdyxaDtGRXbCP+6NxOBQH3hy9S9RozzbOWNa/y7Y8vt+WP14PCou1iJ24VYMXZwMk50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di8vLywc+dOyOVyXL9+HZGRkTh16lSt6166dAlPPvkkjh49+sBt8mbRmtdcb6Db3LHvmseeS4N9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\nLrHv1EVyCi5zoaSMy+V67K11uNtb08DNjjqONtRzssXb2VYSP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = Prophet(holidays=holidays)\n", "forecast = m.fit(data).predict(future_data)\n", "m.plot_components(forecast);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our component plot now includes a holidays component with spikes indicating the magnitude of influence those holidays have on the value.\n", "\n", "While the Prophet library itself is very powerful, there are some useful features that we'd typically want when doing time series modeling that it currently doesn't provide. One very simple and obvious thing that's needed is a way to evaluate the forecasts. We can do this ourselves using scikit-learn's metrics (you could also calculate it yourself). Note that since we took the natural log of the series earlier we need to reverse that to get a meaningful number." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "2436.9620410194648" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.metrics import mean_absolute_error\n", "data = m.predict(data)\n", "mean_absolute_error(np.exp(data['y']), np.exp(data['yhat']))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That works fine as a very simple example, but for real applications we'd probably want something more robust like cross-validation over sliding windows of the data set. Currently in order to accomplish this we'd have to implement it ourselves.\n", "\n", "Another limitation is the lack of ability to incorporate additional information into the model. One can imagine variables that could be used along with the time series to further improve the forecast (for example, a variable indicating if Peyton Manning had just won a game, or had a particularly good performance, or appeared in some news articles). We can't do anything like this with Prophet directly. However, one idea I've experimented with in the past that may get around this limitatoin is building a two-stage model. The first stage is the Prophet model, and we use that to generate predictions. The second stage is a normal regression model that includes the additional signals as independent variables. The wrinkle is that instead of predicting the target directly, we predict the error from the time series model. When you put the two together, this may result in an even better overall forecast.\n", "\n", "All things considered, Prophet is a great addition to the toolbox for time series problems. There are a number of knobs and dials that one can tweak that I didn't get into because I still haven't tried them out, but they provide options for advanced users to improve their forecasts even further. It's worth cautioning that this software is fairly immature so proceed carefully if using it for any serious tasks. That said, the authors claim Facebook uses it extensively so take that for what it's worth." ] } ], "metadata": { "kernelspec": { "display_name": "Python [Root]", "language": "python", "name": "Python [Root]" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 2 }