{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gaussian Processes\n",
    "\n",
    "(c) 2016 by Chris Fonnesbeck"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Example of simple GP fit, adapted from Stan's [example-models repository](https://github.com/stan-dev/example-models/blob/master/misc/gaussian-process/gp-fit.stan).\n",
    "\n",
    "This example builds a Gaussian process from scratch, to illustrate the underlying model. PyMC3 now includes a dedicated GP submodule which is going to be more usable for a wider variety of problems."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set()\n",
    "\n",
    "import pymc3 as pm\n",
    "from pymc3 import Model, MvNormal, HalfCauchy, sample, traceplot, summary, find_MAP, NUTS, Deterministic\n",
    "import theano.tensor as T\n",
    "from theano import shared\n",
    "from theano.tensor.nlinalg import matrix_inverse"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "x = np.array([-5, -4.9, -4.8, -4.7, -4.6, -4.5, -4.4, -4.3, -4.2, -4.1, -4, \n",
    "-3.9, -3.8, -3.7, -3.6, -3.5, -3.4, -3.3, -3.2, -3.1, -3, -2.9, \n",
    "-2.8, -2.7, -2.6, -2.5, -2.4, -2.3, -2.2, -2.1, -2, -1.9, -1.8, \n",
    "-1.7, -1.6, -1.5, -1.4, -1.3, -1.2, -1.1, -1, -0.9, -0.8, -0.7, \n",
    "-0.6, -0.5, -0.4, -0.3, -0.2, -0.1, 0, 0.1, 0.2, 0.3, 0.4, 0.5, \n",
    "0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, \n",
    "1.9, 2, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 3, 3.1, \n",
    "3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9, 4, 4.1, 4.2, 4.3, 4.4, \n",
    "4.5, 4.6, 4.7, 4.8, 4.9, 5])\n",
    "\n",
    "y = np.array([1.04442478194401, 0.948306088493654, 0.357037759697332, 0.492336514646604, \n",
    "0.520651364364746, 0.112629866592809, 0.470995468454158, -0.168442254267804, \n",
    "0.0720344402575861, -0.188108980535916, -0.0160163306512027, \n",
    "-0.0388792158617705, -0.0600673630622568, 0.113568725264636, \n",
    "0.447160403837629, 0.664421188556779, -0.139510743820276, 0.458823971660986, \n",
    "0.141214654640904, -0.286957663528091, -0.466537724021695, -0.308185884317105, \n",
    "-1.57664872694079, -1.44463024170082, -1.51206214603847, -1.49393593601901, \n",
    "-2.02292464164487, -1.57047488853653, -1.22973445533419, -1.51502367058357, \n",
    "-1.41493587255224, -1.10140254663611, -0.591866485375275, -1.08781838696462, \n",
    "-0.800375653733931, -1.00764767602679, -0.0471028950122742, -0.536820626879737, \n",
    "-0.151688056391446, -0.176771681318393, -0.240094952335518, -1.16827876746502, \n",
    "-0.493597351974992, -0.831683011472805, -0.152347043914137, 0.0190364158178343, \n",
    "-1.09355955218051, -0.328157917911376, -0.585575679802941, -0.472837120425201, \n",
    "-0.503633622750049, -0.0124446353828312, -0.465529814250314, \n",
    "-0.101621725887347, -0.26988462590405, 0.398726664193302, 0.113805181040188, \n",
    "0.331353802465398, 0.383592361618461, 0.431647298655434, 0.580036473774238, \n",
    "0.830404669466897, 1.17919105883462, 0.871037583886711, 1.12290553424174, \n",
    "0.752564860804382, 0.76897960270623, 1.14738839410786, 0.773151715269892, \n",
    "0.700611498974798, 0.0412951045437818, 0.303526087747629, -0.139399513324585, \n",
    "-0.862987735433697, -1.23399179134008, -1.58924289116396, -1.35105117911049, \n",
    "-0.990144529089174, -1.91175364127672, -1.31836236129543, -1.65955735224704, \n",
    "-1.83516148300526, -2.03817062501248, -1.66764011409214, -0.552154350554687, \n",
    "-0.547807883952654, -0.905389222477036, -0.737156477425302, -0.40211249920415, \n",
    "0.129669958952991, 0.271142753510592, 0.176311762529962, 0.283580281859344, \n",
    "0.635808289696458, 1.69976647982837, 1.10748978734239, 0.365412229181044, \n",
    "0.788821368082444, 0.879731888124867, 1.02180766619069, 0.551526067300283])\n",
    "\n",
    "N = len(y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use a squared exponential covariance function, which relies on the squared distances between observed points in the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "squared_distance = lambda x, y: np.array([[(x[i] - y[j])**2 for i in range(len(x))] for j in range(len(y))])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "with Model() as gp_fit:\n",
    "    \n",
    "    μ = np.zeros(N)\n",
    "    \n",
    "    η_sq = HalfCauchy('η_sq', 5)\n",
    "    ρ_sq = HalfCauchy('ρ_sq', 5)\n",
    "    σ_sq = HalfCauchy('σ_sq', 5)\n",
    "    \n",
    "    D = squared_distance(x, x)\n",
    "    \n",
    "    # Squared exponential\n",
    "    Σ = T.fill_diagonal(η_sq * T.exp(-ρ_sq * D), η_sq + σ_sq)\n",
    "    \n",
    "    obs = MvNormal('obs', μ, Σ, observed=y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is what our initial covariance matrix looks like. Intuitively, every data point's Y-value correlates with points according to their squared distances."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x117395208>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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jnDx5cv7nubm5QiEVIagAKNEVV1wRhw8fjoiIo0ePxrZt2wpfo1Kv1+vtfmMAEHGu9fft\nt99GvV6PRx99NLZu3VroGoIKgNSs/gBITVABkJqgAiA1QQVAaoIKgNQEFQCpCSoAUhNUAKT2Lyoi\nORgWT3xqAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117375cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.heatmap(Σ.tag.test_value, xticklabels=False, yticklabels=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following generates predictions from the GP model in a grid of values:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "with gp_fit:\n",
    "    \n",
    "    # Prediction over grid\n",
    "    xgrid = np.linspace(-6, 6)\n",
    "    D_pred = squared_distance(xgrid, xgrid)\n",
    "    D_off_diag = squared_distance(x, xgrid)\n",
    "    \n",
    "    # Covariance matrices for prediction\n",
    "    Σ_pred = η_sq * T.exp(-ρ_sq * D_pred)\n",
    "    Σ_off_diag = η_sq * T.exp(-ρ_sq * D_off_diag)\n",
    "    \n",
    "    # Posterior mean\n",
    "    μ_post = Deterministic('μ_post', T.dot(T.dot(Σ_off_diag, matrix_inverse(Σ)), y))\n",
    "    # Posterior covariance\n",
    "    Σ_post = Deterministic('Σ_post', Σ_pred - T.dot(T.dot(Σ_off_diag, matrix_inverse(Σ)), Σ_off_diag.T))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 300/300 [05:39<00:00,  1.02s/it]\n"
     ]
    }
   ],
   "source": [
    "with gp_fit:\n",
    "    svgd_approx = pm.fit(400, method='svgd', inf_kwargs=dict(n_particles=500))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "gp_trace = svgd_approx.sample(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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v9/XqYtA77HHIqOr1ZlQ1GDBikBZD8jJ7tjGKTF8/2YLok/lUFDFFmvNE+nWK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\ngiAIgiAIIkn+PzBUU44V1LUDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1200ae710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "traceplot(gp_trace, varnames=['η_sq', 'ρ_sq', 'σ_sq']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sample from the posterior GP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/ferres/.pyenv/versions/3.6.0/envs/ds/lib/python3.6/site-packages/ipykernel_launcher.py:1: RuntimeWarning: covariance is not positive-semidefinite.\n",
      "  \"\"\"Entry point for launching an IPython kernel.\n"
     ]
    }
   ],
   "source": [
    "y_pred = [np.random.multivariate_normal(m, S) for m, S in zip(gp_trace['μ_post'], gp_trace['Σ_post'])]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x11fffeef0>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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9J9HgxFE5WCcPpl5gdKq82ox5tW54P7Rc7zpaSwSNvNCMEDG2fMW68zjgKCR+\nlmZcqT1TTbQmrLuKce/4T5ZLoMY4dqtqdROX/TzNiXN3FJiPnWMTz1lKHKbIVV89tRv/UQxvjisX\n5HoKl4vQJ0QuVPt5OsLYOTy5p/z9pusse9E+TImTvoHPuruconwUs/jUIlRkr93w5zLSqTJN2WDZ\n9RUiwkHIHRXXRNjTRC3GhvMcVxVewBkcaGKnjzkvMSYibPial3yOEZ+GiAqMPYg4DkIixsT1bkkg\n5whdqzyv1Q3/bTHn/17M+VoKHKRAI9CpsaH2VEtaL40gg7FeVdyyJV4TNztoRnlYRBTjqq/ZdBUn\nKaEopoaIsAks1FAEBRaq/LxbcqIJh+PXRmNOVTGBEw28l1r+N7fG2AlnUUEiLhkvaZVdLCmiKrzc\n1Gz4vLyLlbv63hu77jxqWQSPUuKK90+tK8z9CGarsqzW8ou8UHgSLFR7iya/H5zkNodrzjHtqw/m\nGDveM7pbkE0RyYmVXf8arRBGlywpcqm6au14t9dAyL2WaxEacTnP5TknmXGsebLers9ewmkfygtm\nvB/zfn2lqnFkwbpaeaZJ6aJxSOJEIy2A83ylrqik4iQFDOEoRN6Wjs/VNacWOQyR90PHpstezE3v\n2XIVX2pq3mw7/nU+pzPlxIwXvOOlZsROVT21eciXRpBf9DUe8GLsOE8EjkLkOgEwrrmaPZc7bSFG\n0HzKeqcLqBPmKfGSd1TmuZ4Ce13H55sxX6zr3JkL4UbKLTfflCVfHa9DBWPx1CIowoZzpAAfEvgw\nBL7qczeYth/V+KA48ab3JHLS13GC3erZ3Baz3i3YE8yYPJMrKVw2js8lMDb91LSxy5bMiaaVBeyB\noxRZM5/rP/upbK3mXvKCgGRr6jglrl4yy3HaJ4a+UNUIOW4ezEj0/xpEUxYoQsX4ORVl65NcT3sv\nyYbzjJwjmHGaIp0p877c6Wpd82rd8NPlPO+l5ggpj8btUGaqRE3QeF6sGw5S5I2u5TBGVJS3uyVz\nS4wR2pSoRdiuKlxU3rYWMfhCM8GZ8P/FwNshIA52paFNyiIlpMSQH40zTcxjZC6wjeBdtjqdE1Th\nKAb2TakxrlQ1m06Y9w1EmhioEY5VqUxoEG6ZMouJ/ZjLpRZmtJpfJD/XxMRVjASaKpdQgdG4iper\nxNsh8Muu5bVmROhPVsNp9jSl+7rbtntLeRis/SxiZKf9DNC1PqGiM4WnkuxfeN7RfoLa/fIgpikL\nbi2Obe9eZwFQAAAgAElEQVRXAmq9u7Ht+8QL9BmweQZ5a8qOrwiW07sm4gkYZsLEOeaaOLpAoZ5P\nyrKf8zvuEz8hr+foru/rVDlMkTNNjO7j3r/IpD5ccZwi+yFgInx5NGLD+5VBMFcjmXKqhhPHq75G\ngdMYmZqyKRAFYkp0YiQ1jpNSxchb7ZIzTdxoW6YaWRdPFOUwdmzi2EuB9crTaOK6GtOYk8XONLDQ\nPHBCSIyTo6qNE5RRcVk/OtonVU2TYpWimq3W11zDbu14J0S0W3CIEVtlVtV4gzUvXJMKRDgICZwg\nCYLBjMhBCiTgUJW5JkbimKXEG+2CF6uamRkvmKImvFArO1XFVVVOU+TN5YLdusYhTESyoGuusbtb\nkAd33EEy5ppYd+6+m5tZTt03y+VZhq0yU/VcVupEHNceYf2GmF4lwoYIC/Lp3Myeqzd84ckzJCw2\nIg+0yA5TJBlse3/H9yzONXnY9X4lnLnEJa36E9cCM8tJkdviCb0oH8ZsLdX973ZmtElx5EPtTBPH\nKbH7jEM9T4LBOt74mNh44xxr5plrYqb6xGOcasZZjExTeuzHjn0J06bLr4dlSpxqdkW3ppz1TZK8\nCKqKOeO0L0tdmPZdupRtX1H31TL7GnEKS4FZiswtoZLLoZwTZhp5Y7Fk7MELiAlrVUVHQhVukThI\nkQWA5OdZYRzGjtpqIv04RvHUCIpjAlzxnqfVq+vSCLLrS4cqcpOOjdqzKxWdGHODqQWOYyT23baS\ng9p5rojDeUdS5VpTYUlz3EKNw5ho6Lha14gaplA5GDtPa/0pXpQm5sJ170aMneeKc5xq4u1uiTnh\ntapB+ikjkEW0U72niYjrx4BNLcdP7hbk85vY/RCydWEGM0schfBQgprMOB2K8X3FTJWzlMvGOrN7\n4nmfFdRyJ7fNc1bdZ4loxrR3JwMsEBqRe6zRRW/ZAauRpGPn6FRXr6vzCYLav45DP7Rlpy9RCaZU\nCGemXPMVIxEOY+QoZUvnWgVjEU7J+Q1Xq6ofJq+cKmz7T387C2Zo31r3SXI/6/ij2HB5XOBMlbUn\nlAWc+oPXXJUrKTHVRMTYdo9+2JlqIqTE9Rgx6RNbgUoEQ7jiPUcYzmBmxjx0GLBMiprSmbHuHFvO\ncZYiH4SOeUoI0GnkVuxIKqwB5mBsMDHHnkY21aGmmBjOGZ93I26Elne6lqiwXVWoGClFTs2Ym+FU\n2akbaudYS0rnjKklvFW8t1zyv9Y1zVMIJV4aQa6d59XRiFvTBYeaeEHGfKWu+WVoeVcTkmCj9hx0\niQ5hlGBNjGMz3lkuqb1nSzyG4quKlzS/4Pc0MW0VFWNdHAscmCEYwUAM9lJCcIzIJVR7IhBDPrmH\nwNLXTHoXsCBZkM1o7vM8HHkjvN+M5dM+HX/Ux+Cc5MIQR3b3yV0b3qLfEM9bJnczuA0NY9tXq0L5\nWoROc9zqbpfZZ4WF5QSbSoXNB1gKwQzH/V21zyvRbJVpD3kTrUV6a1fvCafMestuy1ec9Qk52g+J\nH5J1qnOvzcMUV+IzbPZHKTI3ZVM8I7OV5bfhHSfqEIF3u5bNvklEsBxzHrxK2buTPnHm9WlKH+kJ\nOEoRM3jxCbuKH9Y6HnAibPg8dvBM0yMdRpa9N2zscmLYcL+XmkMDTgQDZmlILuMj95C7iZb7N3wQ\ncrerK75iw3u2JQ9+sP4xfd/swxkcaiJoojNyn2ryoetIA7e6xGm/n1YYU83WtFNhbsZpTFRmHEqg\ncp4peebxQo1J29FUxvUQ2IvZxV97IBrva24WkkzZM2PD5cPhqHbMSGgyPrTAv85m/B9b6/fdr580\nl0aQo+YGG9Ggdo4rIuDheJmYWWRXar5oDfOqo02RkYKaZxEjb9Ox62smvuaARCPwxcmIt9qON9uW\nfYxN79muHa5vVzBLCY+w5iuONZ8mvzBqmPSNRbad580UOE55U7oRcir9dlXlJuimbNwnPrs05Sgl\nJs7d8fWh2bqaEVEiwrrcf9Nwkk+glXMcmHKQ8pvivvG9Puv1/JtTLZdczPuT6uMw00SNPLCVaOgP\nHRc5U3Q4FD1oDZIZhzFS9d3XPi3mqoxEPnXRT71FPAixF1m5HM3yIXKu+bU5JCiet+zW+tKlwxh5\nu+tYd44X6mplTaZejIc8hUHYh17F0Yx175hrLoWaOEdnsNN/316MfV8AQS1b4Tu+YtdX7MfIB11g\n4iKv1s1jWYzLPqS0QO4bm2319hCZYEbzhO7Ho1rHA0PzjIUqa84+srnQENKb2+3nMIvKmpPV69tL\nX8YJnMRIsmxohI/ZQ+7mRtfyZrekVbhaOz5fN1ypao5SIvUhimlv5c7UMIOJ99yIOfFvwwl7KWdE\nJ7JxsUwRw7HpPYeppVbHVJSQYg4vquKdsEu2eM9CJFpkXxxN6ACjQtgwYaGJZUrMU0RweaaBJt7p\nOpz3bFWez/ma67Hj39olH5wkZuMd1ptPX5IvjSCLwX6MBDGu4Kh9xSxlcSY6jizShjxSK2AcYJx1\nLWMnnGji1BknLnBshqKMTXLSlhOSJkKCE+cZEVEnTAxuEVhoYtd5FiL8y2JB4xz/cbzGy77mjW7J\nWYqcxkhLdsG80ruauv6NcffGEQFHfvNc7T83xOGUbAUn4Cwl5qps9dmJ96yHCFfqmiPn+5ZzkV1f\n3fGmbftSEyfCdn8yH9yTTgQzViUqD4v2FndnOT507QGCe9q7KBupL6x1OSTk3c9bAazqaIfDxafh\n1l72+QgjcZ8o+/5+r7UB663ZeW+leRE2nL/jsCR9w4ajflrZlf5a7rbsmt5rM2QFV33sLZlxkCJq\nxrrzK49Dq8oHoeMsKa/UNXNTPILXxFGESN6wRaAy6+tHhYByIwTUcve7WuA4dnyg2cW6+RhrNXTT\nM3KexrrceWBenHsvPMjD9TjM+t/7sNbxeTb7e3Ka0n0PhUP8/3zN90RySO0oRRbq2a086+fu917o\neHMROGw7viqOK1Xdi3Lkyjlvx90kVd4PgZ8tlyzN+FIzTE6KdNbnuwCtxjy0J0R+2bY4p1zzDQY0\nfXLt9dAhZkw1EhQ6gw2BiXfMO+PYIl1UItmb4jQR1HGjzy9wfaiyMyMBWwhbTqid4BL4yrOpNQ1C\n0MARxi2L+JhIWrFWwwcpcEziKjWT+ul0h7s0gnwrBt6ez4lJaSvhvW7JTlXxqjj2NPBeCASye3cE\nLIl0QFDHDGOpHXuaXb8bruJG7JibETTP25yjtGHJtarBVNisPKLwQYoEp7xY1RzHjv/zNHAUIl+b\nTPhCXTNX43roWPOedckupkaEzmBpxtq5F7f21mklQqv5/7GP7w6bkpDLpGKfrXiUIiN1D4xzbvnc\n1OQ4Ra5rx1p/8heDjuxu3TkXIxpOyxPnqCSx0IcXm9Ancgwn8NQ/n7uFwMz6WafKtvNMLmDXJTsX\nNjDuvwbnN+iF6gPd2p+EwVptH3CAM8vNMrzAzl1uy06VZf86MXJOwlhyY5zzdZVzy2J8PyE+z8g5\nRupoTVcHt8Gy61RZkuv5EbjW92s/Tokdeve/Kru9+xLy6+X90HHUz6S9VtXMVDlKgU7zcxaEWnKY\nqMVYqvFy5anM9aWC2UU+S5F3u5aDGJmI8J83Nh/JpRz7Q3IlQuotrjW53chnKL0aQk7BHs9zdDdt\n76EayaNZxwMj5xibW7mhRyKrxivJjEC+zvM133NVKmAsjlH/uhl+9zSlPJbQhJPUMeqypyIZKIqq\ncaXKB/sIqwP+aUq8H1qOQiSQ+FI94nN1w2GMvBdb9mJg7D2v+IqZGqcxchAiS01ENV70xpavuVp5\n3m87RjgOUstxSmy7CieJpcFPZ1PeCx0LLLe51CzKlTiiJaYGG8AOHsFRozR4KlEmvuaDFLkRF+xK\nxW7t2HYVH0QYx0g2xfL7/a12zi1gAZwul8QYYfTpB+8ujSAnU4IZhxo46ZS5Ga0mkiqn0VgC8/57\nx/2/DfTuX1iSC3x2gE3LCzPTxFCVuwSmwDR2vAx0bo0XnM8ZgykBwpoH5yr++3LGbt3wYt3wYRfY\nT5Ff6RsanKa4inN1llt8DgQzjvpYybavVjE7wxjeq+vO5+xw51nrR5O1lovk15xjvX/DCflFdhjj\nyoI708QZsOUqlpanYr1Y1as3lZqtNqVxXzcd+qSZSvzKbTn82XS3p1sN8eqhpvB61xEwdnzF+K6N\nZtZb/JBd5hdRkIcN9/wGfH7D7PoNb+wcbb8xPGlBTpYFZ67GyAnz+2TUDiGHYKAuWwPLPlNVzz2H\nWvpYoSVmgO86TmOkEWHai+uDXJJmxlGMjHw++C1CYj8GolrukKS6qiXe9TW7leeqr2gtJ8Ud9q9D\nXH79Dge1t7qWpSnrznO1qtnxnvU+bHKUIu91HbUIr9R17hsgQi3Ge6HjhapiRBaKacrW3vXQcSNE\nnMBr4zEvVvUd9yz2IYatvvHIecEerON152/H0M8dmBdmq9f2Jwnl3M2w9o+TzWxmqxyGs97i3XGe\npcGZRiqEF6rc/GI4ZIU+LOGd4/O+yt7BlNjxnpMY+WW35IMQGI1G7PqKVm112Fwq7KXAVJWxCAlj\npw/BHac8rMc7+Hw15kVfcZIiH6Yui7nQW+ZGq5Fj7biRlozE86VmxLWq5kujCdGU96XjJHa83UW8\nKVGMSVUxEePnKXAjdkz6vGcRYWw5hAF5Dw9AC+RWIsaSSG3Cmhc21HGDSLJAExuWPhs7jfesm2Ou\nkWONnJD3ew/cAvbnc3bX1z/h3f54Lo0gb1UVtWp2aZE4Cco0GSb5RTJOWZAN6IDBATGIcSQLdAuc\nWsThmIhj0wlePT+3wAI46L9f2yV1M2YT4dAi73eJTe8YS2BZ1/zb/Iz/vL6VC9z70+vEea6HbpXk\nIsgdZb6HMbKfEoukYJFbTpicc2M14lho4u0YuOprXqlrrlZVX2CfOImBX8TAfkzsesevx/HKdbxb\nVWyZZ67GW+2STpUvjPOJby9Ftpxn2GIGKyrHegKnydFpFmHDaFNiLwVeqUZ8bjTiLCVmejtLW4Gp\n5prBnej5XN3ckXC2nwLS34ujFLn2lNxBj0LorbHYH1DW3J1NUua9dbwmDudybHXZJ8qcxyyXoj3I\nXXyS4moW693x9nlKHKsyEpipMXJ35h10fcghC7fxvnWruOYQgx3u5dBgYzhMVZJ7sC/V+DAGFmqM\nxbHTZy7nJhS2mvX9xnLJyAn/YTxhrnlIfDJj21XMMOYpsh8TyeCF3nU6rMUb7YK9FHjVN3Sm3AiJ\ngxgRgV3n0f7QdytGNrzj1bpmlhI3u0Dl4EpVIZLrUCFXEEzbRONy1veW9xyEjhux4ywZ/7qY88Wm\nwa9t3VGGdTN03AiBDZ9jz0NVAmawzAPux5K7fw0jUofxqINHYOJcPoj0SWWfJNxy3jp+lOEyy/5A\nm3o3MAzJoLndowlMJB86DO44lJz0jX8mfehrrsqBBm6FHLdtNWe6b1UVncScHxMTX25GLJ1RJThK\nif93MeMsJb7aTLhaV0wkGwiHGnvxVt6LHVGNbSe8XI+ZeMfPlwt+tpzzi+WCYMamJ2dEYywtkmLi\nveWSWykiZqx5x1GM7LeBTe/4sIt9xy7lDKgsP/ckDrG8nWr/Gmnop/CRvYFfFM+vj0ekpXHUT406\n1ZRr2xkqCfL3z8l6MAE+3zS8vLHx2Pf5Ubg0gnwYIsE5KvJNmGKMtQOEMUJNdlUH8pNuuC3AFVmk\nO/LNaAFMGaGQsmus4fasyhnwPgrdgldGI2YqnFlkFiMjHL5/Y+/4LHJTNU58YN17ginvdC0vVc0q\ne7HprdpDjSw0kSzxQZCcZeoq0srdCG+GiAEHKeCBF+s6Zw4avBcjt0JgLwWS1ZgZL/iKqt9U1IyD\nsOCtdoEBXxs1bDjPrC/Ub/uyk6jKL0OXx1PGSFJbbdQK3AgtH8bAh122vsc+10wPB40bXcd+jCxN\nOfGJNZdP4E4kZ4r37vil5nfTMiXGF8xKPkuJU42si+M05bpw+mtUu905amjcMIdV5up5jvoWgDv+\nzli/9QlON0KHAikYX25Gd7hIb8RANGXHVURTguqqXG7ocDVXxSHMLDFWx1Zd967Ie5OSRHKy0gi4\n1jRoVecQg8IiJX7WLriW6ntmdL+7XPDfFzPGzrMtjpebUT9qNLu4O1NuJki9w2/W5zvseJ/LVCx3\nxltEBZe4GTs6y9Y0Dk5M8SZ8GAIbzvHV0RhMSWJ0CschMhbHcd8w55qvOSByEBLbXtjqywwrHC96\neC91/NfpKduu4nOjMVt97sQ7XUtnfY9on9dH+yQgZ4ZDWNrtOuehiUXTH17qvs92LcKyf16fpLXs\n41jHqfc6GPlQ1UgOVV31FUeamKWcSbxVVTjJr+PDGNnuw1yxPyAOcetahIM+9LXlPFd8zbETduqa\nEx+YaWQvRY5T5IW6YcN7wnLJQZfFOtic32p2eK1peKtrAWELxz8vTnkrBF6qaqyq6LoFDseb3YIb\nXcthSsSU72+lHY1zSCe82WU3tTdh12creBYiijENuXvMhniSppXHcwRsmDIl7+9K3stbskBL//Fe\nt+SF8RpjEzrgiNQbcFkLjGyYTfv/C9mbul1V9x1+8mlwaQRZNbHftkTyqSYhfaMMY4rRkW9ORb5R\niduWsac/YfZ/Uv9xByz7k5OD1YkrCz58gEG7JPS510ugRfEK10NgfbHsT/eOD2JkvYqcReU4BY5j\n4HN1Qy3Cphc+6AL/3s45DdmybM14ta7QukHISVfXQ0fQ1G/6wq3YsbS8eZxoonGOl+uGsXMszBDg\nVJUtssvtOEbe6joqlwd1/6Lr+N+bMVd7t9OtkGdGv9t17MfAduVR4Nh5voBROcdxipym3JjkrbhE\nxfi1yTpfrJuVtfBeWPY1fJJbh2rikGyBLTWHFpw4tirhLEVOnpEgT2NkL0ZeqG8nlhm5I9v1rstZ\n7R6CJU408YLlxveL/kQ/wrHfZ1l7ydmq5+O8sQ8BAKtY6si5nOAUI3uxw4lQWU6OOkyRq1U+SH0Y\ncsLgRHz/ejRay7HYBsdJylZmRU48XHeOdfGPVDPqJLv6jjRmSzvmaoLKYNdlT8fN0PFGaLNwpcTP\nuwVXfcWOrziOkdPeM3CmOQvWDWEPE24GZTGURDnh/RA41gU1xqbPVu+HMeARgubX5sjBXgwc9ofb\ndSe8F5dMo7JZVWyKY7Oq6JKyR+BIHaOY2EvZcvpiVbNUZS8q/898RiWOuVf2UuAoRibeYWTrfRDC\ngxjZahqsTpz0tb2NCNGUqSQmfTXDpG/tGHs3ruPO+efDqn/UONVkRtd7kx7HOh7CQlu+uufgtGHG\nLcvx911f5UEdXjhJOcTQmeERaiG//7ynVeWwP8C9WDdgxmGAaQjMk/Z5IYG3uo6rVc2ZKu92LZXL\nGctqxmHoGPXeOwf819kp/2MxR4ATYKE5jLBI0KZIVKOLOWY/1ciCxG7ncSM4iCF79RBmMXJgyiGJ\nseZ9u0VpLRtFHVkw877uGKEkssB25P3aw8rz936KzBdLzrTjbHgPkAV8yAaJZO9p6D828kHWPaVq\nkEsjyCKOJEILXOnFeI+8wDnrk1Vz8sGNYf3Hd0cGhsSvKUMs4nbc2fU/b+QXxT6whjLrf9eo/zMP\nkfdcjoF9flQRLLEXOvZSYi9EJij/uliw487YqirWRXg3dlxftpyZsi7Cj3qL9D+MJrzftbzbthz3\ngrzrHBH4IAYm4vhc3fBSVXM9BuaaMIGzGDmMgX1yctfNGFBL1GbMkvIeSzZnjl8ZT1CBVhNvtEv+\nbbEgmvE5rdiuGuaSY2ZjJJ9cnc8F/RKZWuLDGBiL8FLdsNDErZDF2CQP+67F0apyM4W+RWjfUUxy\nd7GpKrt6b6OUTxM142fdkpMUV0I4dsJSc5z/VFMer0nOQK5SZGENayKrVpAquR6yEWHTVRh5nOCQ\nnTvE1RtxjCWL8lqfF3CYIpU4JhhvhJZOjUVSZk0iKXwQOgLKepW7FAWDLS8s1WEaeC8GHHCtqunI\nQbooRmt2T8z+QZylyPuh5bDfrHe9Y1uyJfXLrsUwDkKkU+VL1ZiIcism/q/FGf+xmeDI4qmWB7pv\nOsehJjaTccXBDY3sdS1RhLMQ+Vm3pJHcJOQlnw9nZ322/XGM3IwdCWEsHROXp/BEVf757IwzVb4y\nGnHTV9zsD4ub3nEWIv+8OOVGyNbz0ld8cTQihpbroeN/LOd8rh7x825JZcqa8wSXuFbl5LJgtir7\nO+7vGaYs+j2ElFhKFohWE0d96dN0iNNzf8tp3XmaPgcjYUTrY9gp8O/LBWvi+fKo4UvN+L4/fz+G\nwROpf6y7k/xM4H+y9y4/kmTZmd/vPszM3eOd76xHVmVVd7Grihy2SLFnBhhiKMxCGApaaDN/wKzm\noQVnMH8AFwTBxRDkACLY2gjQRgK1EKCFVqLEFqSZ4ZBsqptd1fWurMp3ZLw9wt3N7utocc3CPb0i\nIiOzIrOyk32AQEaGW5h5uF2755zvfOc7WnKf7kYIDEzu8z5nLTdczTBksZ/zLYfkIIZWrhTOmYIS\n2EqJ3eBxjSAxl+7WQxbtWFYwEcW94FjUipdtj/vBc6Np+Ng7SoGBVtyoazZDaPdM4XxRMgkJTQ5k\n7jY1D6KnRFEnCBL5qVLUKVLHxFAi913DvuRnomnXVyJntl3SJGSIWYCKRB9FQBiTHbIwddiZmAs+\nZUTKt+eoyHt6l6QZOGTPa3LSdqtpaLyH3unv1ZPaC+OQXfI0IU/9eIDQY5rxKqawRAdbNzOvddnx\nrJn2y7Wv7zNdBJ11N/mAfOM6yCMCOxLpOcfnCAeSyTh3nWOzcfSNwZQlTYrcixk22QFGIfAgBgwC\nSnPXez6pJ3zc1BkGlKy6Vac8+/OytaA1SRmMzWLtm8GzHxN7ErnvPbatjuzHACmy2WakSWDoEv93\nGHLLNxSiOSAHDRa4ZAtWjOGK1SzZglVj2Yj+cAhAVMKaLVhQmpQSn7iaiQgHITCSwJIy7CXhS9+w\nbC0HKeY6a4wklevhiKCkZfm2md+zMBFhy3s2vacrZgtCbFn2C1pTUWRxARF8FO6lBo3iQlGwFTxl\nC2XvxIBWiosm0lN5g8fma9xoGrZiYEVrLhhLRLGeOuKb5aK1/PV4xE5MBIk8qANfuppFrQkozlnD\nfuu8E7CgYStkAlmlNS+XJQva5PejYT8llkWY3zYmMUssrrUzt4MIm86xGSJNzMSxBHzpHSZB0pqJ\n5A30IOYyRpTEOa0xBu64rJr0alFhlWYvBqpWHvZAFFvJE72QEO7H/JR9PBnhgQtFwetlRdGiNOvB\nccc33BlPuBc9y7rkpcJytSxotGErRSy5pv83kwOUaNaM5uWix9Wi4KN6xBfOY1JCVT0+kAkrumBN\naYaSuNXU3PGOEvjSNWxI5PWipLSavlZ4gYMQ2fKeD0cH/KSecK0s+E5/gZEIe97jVR74MkoKTyZP\n5gE2WUxilh+R56YHNvBfIcnVKbHR1kDvx4YFn8l2F23Bwtxo1nlLIi0aIVg11fruykQiwkGMeIHd\n6LkfPK8WJSOTdfZdG2SWKbGXPB82NYN24tH1suJCUXDD1XzW1OxHTwqwBugE57Xhtmu46x2vGoso\nTRMzG/5OaPhxCCwoxQVjWdaGB9HnQFvynHpP3jdGIXIQHZ+GrCBYCoxToBFLkybcomHBaB6EwEH0\nbWlRM0AxQhi1FfOuvJiYJlsR6LdIqGO6V0fyvm/Je3PniGHqiLssGR5OqlL7+l4I1L7LmZ+uvTAO\n+YZzjOEQsqjbfzu6UGQaTc061QRst993RKMJU+JXtwCYO6az0dz7qGe+X04eguJBEj6RxJZvqIFz\nyvBfmjXeLEu2U6InsJkCH7WOVxQoSaSUuKkVxlgmKWAkM2J3fGBgDHVZsGQK9vDcDi5vcm29cydE\n9rznF41lJ0beryfcc479lMUVVrVmURsSWZh9mByTJBxEz74LbCnPtV6ZZe9EM4yJIIkmCfe8Yzvk\n+t1L7XgyI/B5PeFG0xCV8O1+j8ZnRzuMAaUUBZr14NlPIdfOVWbJ1uJzu0YSjOJQpxuVSUNPmjlv\nhHznLtqHO0b3UmQ9BpwIl1t2b5AslVdpzQVjeCDZidWScAi7IZIk391CZf3d7Zgf0lFMbAXPRWtZ\naluPximxETwHMdGonFkukrkNS9pw2WomKbAZfSbQYRiJ50FI7CnDtbLgvLYMJedg28FDmxH1tebN\noseqsRy0UpWVNuxFx1bwDylpuZT4sF1XL8cC2qztUrA4iYyjZ5Qio5Rb0dZ14K1+n1dKy06IbLUB\nXrSCE7hsCiYWNrwHaSiNwiiNSEInhRHhRogUOC4VlvOm4E5Tc6/N6N8oeu3ksyxXux8it+uaH9Zj\ndiVR0XCnMVytenxoG8Yh0gC7oeGL9hznMWxVgfcmMIyB3ZhRrqBqCmXZ0B6jNAsavoiJFEHrxCRE\nNmJiXU+wiYxUtW2B2yPFj+sxd0PDZnRcLkp6SnPTO8aSeE0qXil7LOtcntJKUZDRn1KptnUs7wwd\nqSmRmeuFytPkohKMhpVWK7nQKitkeWHFGJZ1Zpl3+8ts9nuQEgdt+2PVCrB0pY81Y2hS5HbTsJMi\nUTLf5EH0TNqMc5QiazpLCX/UjHlvMmLBWL6bKuqUWNA1n7mGcUxYBcsqIwKiBJeEEBP7JArAiPDj\npqZJkQWBOyllBEg1bCTBSt4zg0SuaMt5Y1CS2AgN90NEoxiQeTf7kOvUKT/zJuR915In7LkWhg7k\npKVzprPJUeeQOycN2Ql3/++SMUXLD5qzeaWFjuAb2musas3yM2h5ghfIIS/kvDIz7Mg3Q7VfgalT\n7f7t/vDZzHjW0XY3ed5OU9rvgoE7wNXg2EGzR2JIhlD2JPKD0ZBfjAMqpdhDeBAjQ+84INeojNK5\nFqKEN6o+C9qwEXNbh0KYhIhSwjva4LTCh8hIJtSpmxmb+GA8xqSSoQQ+rifstCxKkchQGS7qBFpR\nSkcIMVYAACAASURBVEQnwSfBxcit5JmkxP3Q8FrVp68nrNmCS6ZgJJHPmxqlYJQUkyRMRHjNVmy7\nho+aCUta8x/ikAKFNZqhjbxW9qhMJsfsNjn4MBpSUizpDGlvWvMVcYQtFfIs67mhBY+yzeC510a1\npdKH0oL7Ldy8Gdyh5GiT0vRBT4nPQ2KU8spYMZZFLVQKxjFxo2lYM5rKaEw7iUYhedybj/QxKJNb\n2qJkNmtDwkXYV8LLtgCV++Y/acY88IFXi5JSZenJHpFRTNz0DpXAGsOk7bU9SJFXbMWKNSy2n4Vr\n2dBrxrKr8lzhzOjXjGPkk3rCJ03NMAWc7bFUZGi9FwK3m4a/nIy45RuWtUUEnIqQEjGBD5H73uFE\n2E1tP7btcaEsKIqSjRCwKRHIWV+0mZyFhiYk9o3inNLshMxoPYfmPTdiPdQs6YIHwXPfO275pp28\nloPh2xIZ1xOMVqA0JgY2EfboAubIdhMZMN10G2Dks0Pv6TyQ4FYMNJI5JKE9rgRGCX48GRME3uz3\nWdAWmoad5EAUGyHw56N93qx61G3WmwRWjaanDRveY1WGeg9axCdK7lHuKU2vldnNna359zsZVg0s\nGEuhEivacsHm1qOdEJioxEKLTizonDkrpXAt8jWRxEAp9mPEIawqg9Vw1zV87hr2U+ScsVxrBTke\nBM84RiYxYhWghBLFnnfsJ6EWz4coXiIztA9SoEAxTsJ+XbMQhKH33JeIi4lFbfjSBb70NV/4BgEu\nG0OlLcMo3NPCOGSEr0MK7+PxKXHOWvZSoiZhozBE2CUdJlGWbljOlIi1iRxqR3Tkq+OsWwOdze/d\njtNbFwB0Tn4vJcbes/IY53hSe2Eccq4z5JvSxZXCtPd43uYh6rO2COySgwPdNpx3lPx9IEaHmQhV\noalDJp8NUzjM4gciJGMZCWx5z1BHgkCKgbHkuailglva8J1eD201HzrVwjgKEcXtuuaBGx0SURoJ\nDKPQN5aQIp+39c8kwhVlcdJqYIeYM2eBhgkx5QHhb5iCL1PeDPrk6yfAuOzUPmsmHATHvijuMMEo\nzWsty/WSLdmRyH6MCLlmVymNqGl/70rLoLVtu8auzxvqenCMk2FgzKFwRacI1s3V7azT5t4IuQ9T\nEB74TLzqh0xemsSYh6CHXAMcqCxOsmo0WmlG0TEict5kJZ+BNkxM5I537ITIlbLgW6bPlRYu7GnD\nL/UN700mfNpMuB8cRmAzBnwLL9dkxnuhFNfLip/UNZ9M8lRbBaBgWRvOm4KBypv3He8YukQjgRgV\nVitWlGZB96lFsJKHlDwIeSLZJVtw0zfcczV9bfisqfnSN3xaj9kKkd0i8GtmiWVt2I+Ru43jtmvY\nCYGlnuGcNhitWfeezeBYj/nzGsZc9x5JYqQDv2yWebkomKTIRvDcridsp8TVouSCtVwuSw4kcW8c\nKBB+Uo/Z846R1vgm8SOlMG27UZSMynSM2ECHOiWqBJqsBbDX3t+uTbELthumnRK7bUX3XAqHJKBu\nI+5KShMyHLkbPLdDgxtHLuiSUVJsuEgpwn4M/GSS0AqWdcEFaxmnyM2mpmonTA20oZFIpQxr1jLQ\nOUjK04wyoTKJcLuVEK2UaksHkavasGotk5Zf8XJh2Ql5etF6dCSBkeQe/xVtuBscezEcBrj7wROA\nDS2okLjvPfdC4GpR8E6vj0Vxyzf4lPjcNfS04bLJhMRN13Db+5Y1btiMkYUYqRAqpdkMjs9dzSAW\nDGL+zLZSZBwjN/2EBxLYbT9zATZjZDlmMhdpik5GptPodn3NFZ+nJwmRYbsHdvfTt/eyTy7/dUHW\nUQnRs7CuFNldfw/YnUy4urr61K/9wjhkFcNDzLjnxbr31EV9E/Jiq4GYPGtOMWmDiQmzNW3BpshS\nVEyUYiRCSrkuE1vpzj0B7xwHMbXQc+Sc0YxDYiyBUlk2Jo4lbVixmj0vOBIFgVJb+io71Xsp8J5z\nDJRhNzqG0VNqS0qJA9f2XwfHhikpTa57HZAJF+djQsWCUfLcb2UVrcBEgbSiFkta84WxOTtuIdJr\nZYZcmyTsp0CpNYbcN7tkDF+4hp2UWzGs6uYzC0En9ltlKBFhlLL4gZDFYXZiFjqoU2RJGWpgP/rc\nJzvW7DrHDVdz2zn6RrPVBBa04vWqR6kV143GWcOBi3wZ6xZGVwxaiL8sDEsqlwSUhhu+xgLf6S+w\nquGGBO7WDqNa6JIs9oKC3RDxEvExcdNN2I0BaZnoeUxnho0HxvKqLbghDY3LsOMoZTnX3aj50tW5\nrKEN28Hz7w/26WvNf728Sp0iN30gILk313nGZO7BdoiEGFkrC9CaXfGMJLJsDT00koQokU2VuOsc\nLkYwGpuEoWu4Hz0PtMEDX1QlEcWO93zUOO5Fx8d1zd/p9wlJiGjuh4ad4NloHFvEww7qrqtBk4PW\nCdNAus+UTNN1QcyWgbpnqisddRt6R8oBuEtGoiryBmeAAVNHUQMPJBImI7aKihUb6ZuCPe/wMTJC\nqGIgSeJ60eNSWXE7ed6rRy3crrhgCpatYcnIYVvMfstmztrSmmGIBBK1NvSAz53LetHGIAKT6NlU\nnjeqHpeLgmHSBCfspJgFMsSxpRSbMaBQXCzatkLvuRcdRhSBhBfFxaLgjaJknISNUPNJ3XDHeyqd\n5SgTUHvPp3XD3ejpacV5002tS+xJYhwcX7b93IVzLKJYKQoWtKVJgQ0JPGAK5UJ2XOP2vlXt59u0\n96Q7pgH2EZaIh3tgx83p7tkskvk87N+zwUAmvj15e9vj2AvjkD8djZ561vt1bB4Cj2SG9p7IIc2+\nq3l3ZAMjiRCyA1u0BcOQYcu+sfQUrKGoSdyNTRZzSImNAAfBo7VmEC0mJhZtxf3Gs5NyzLoVFKV4\nFirNKxTUIfKFy73JnhwRFskfPhiG/BBNouONVFCS2JIsPRraNpFXU2ZP95XG6lwDfxAjNcJ74zGX\ny4rztmAnKAyKbee4LQ1vVL1WfSyLS9xGKAPc9pkY4gReKbJjTZLYjaBibkPa8p5Va4lC1jJOMb8f\nSfRQbKVIkExguxUDCwfCuKnZTAGrs2KZEFnWhqu2ICi4HwJfeseWc2ykgEpCaQ1XioKXbcHFouJu\ncNx0DZ+HwHrIwUQiE3+WleHz0KCAxZDhzAWtKNEohJ/UE/4vt892bFBkIs95yZnQTtubvGYsI2sY\nhUyE2UiBOkYu24KDmPjc1YyTcEsrbriGe86BEv633VyL/NLVWBRa5HD+9iLCvgT+cjziQfDUbsRf\nHIzYS4FVDJ/FCUkUlcrztbdSYtyqc6mUA50JQkiBj+oxWyn32q+3jnoEHJD488mIrRhZVoY6RD6J\ndSvM0LFhM2ycyBtwlyl1dlrqTEfeOc5qphBmFwzrmZ+F9vvoHRHoOWEUskREiAm04Z6KLOpAX3IP\n/rpvSGgsitoKb+qKiza3L2kyQ/vDetzKnaqM/rQti04ERHG9qrhgizwhK8Jt71gyhktFyaqx7JvY\ntt4o7oWGu+0a/6Wqz3lbZJ3p0GCB7RjZSwGjNMtKc8cGks+Bw5bPwivnKOhbxTgEvnSOz1qNaJ00\nfTR9A6pFWtZdw0ZoGLbdHZvAhRi5ZEv2Q85s54mtnU3ar+MsMUU5OpvdD58NZerJzAILP9eyflx7\nHuKqx7f52sjs9zWwihBTZOSEPRIO6EfHHnn27IIxGfRUYESxGRrG5BYmmsgaoKLQaE2Igag1dcrO\nVMbwBVNBlKM2SAOHClVj4DPxFOSo2yiNT4FbKXDfZ8j0qu1jiNx3gSZ5eqrkbvLcqmsuDwpCirlO\nR+SBz1vqa1WPBWvoKcXdpmEzRhZ1FrVXJJSCC9qyF1MmHnnH/abhIz/hJVvwD5ZXuWAKFpVGtGZN\nZdGRTdewHwJKZa3bJWMISvOyKekbTZDMVvVktncQ4YNmwu2mYTsFRiEzw1+VkgIFAqu2IMSED4kb\nTVYUeslabqkstSoCK0pzNzqS1uz7nIH+an+RUYrccZFboWEYcvaPJPZDJrctGY1LWb3sizoLQHTS\ng0GEveDZSIFroWRYRIwkftI07AaPUsKt2nGtzOshkGH9pHLPeNMypt+PIz5pJgwPEptNjdaanobt\nicO1hK9KK6zWjBEa79ibqcEmct9y3cCCUozbckyvXa97wI9dzerM/2cD5S4zeryRJU9m3Y5wVKAe\nyGveI4x8w6CtiRoMlohJWfVqJ2ku+QKnEiJ58lENFNHTd7nfuFPEutk4PqlrlMqjTJeNydKLwZFE\nc60qOWctBrhoLNEKn7iam86hyHK4BjAK1oPjs3rCWGBFGzZjYJQSfz3a555rWDEFLxWWlWSoY+Jm\ncKyPPWOfeH9ywDaJbxWWvjHccA37MbAdI9vB0QRBaNgvCsqkaVLMs6tF2BQ5hI0Bhgj3QnNYGjjO\nFiYT3r1xg/evX2fU759w5M+eRWDyc5b141klz+8Yvyc1ITMLM/yTDqGirn4zlMi5EKkweLLI+oQp\n9NPBR0MJ6JizBJPSoYRoIEfBx0W9MBVB6WzY/lsgVBLpzV4reEYhst+SNTRwIQacsvykHrEZAzWJ\nRWUZKE1Mwp3gqLTGSgkm970OJXBRVzQpZ7fjFHm1N2DFJN4fB+6Fhp80I+40DV/QsBcTvzZY4LWy\nT2zVifZD4MfjEUMJLOmCX+73OF8UJO3YjIHtxuGBsQQkwicCTsGn9YSdmGVlHGC14rZzPPAeYzX3\nnMNqxYPguesbvAifSeJW8LxUlCwC2ymxoDRj59lMiTpG/t+4TyGwkyJNDG3rSsJLHkkXY+JKYYla\n4ZrERMEk+MOJNZ7IDpp179gqCi7FHtvBc9s1RGm1y5VlLxisyc44klnP+fczerFmDEllla+hRFYi\n3IyeHcBk4TTGCV5GYQTuIYyYEm+6NYEERjJVNdLMyBby1e6DWXsWzvi01mV2HZxuiVTAskQKL4yj\n427tGFhNaDsNRGDbluzFyGeuYc0WLCq4G3KnwktlxTJCpTVassCIkxzcbTjPuvZcskVba4/stDON\nN0NgJ3qGIWR2d4pcNSXoLJixEyKfNw3rzjG2AWLucDhXGJxLrHvPTVfzRWhQorilNas+8xhuR0cM\nmdW8HhsicHd/N5O4ABB2ePhZh0eTqSA747/8Z/+Mt2/e5INr1/i173//hXLKDtibnJT/n529MA55\nIt8UBeDp2/xD0mUZQnaQFZGaaQ26e4A6YkRNzmAUx5PcHte6B/WAqdiKkJXNukwqBwaJheCIbW1X\nK8WSzlnjhnf0UxYZWXcNS4UFyTKAt5uGexJZVYaxRGISxkn4oBkzDMLQhyxzJ4G/mYzZSoE3ippV\nU2AVfDyZ8GE9BgVL2rGdHN+xwv7YcS80iIIQIkEy8/tjPeF8Ydn1HidQqUzF202JlPLs68Yl1k3D\nojKMRdjxnr5okooMtQIfMUbhUOx5z24KjFqlrjUUlbbt4I/Mom8ktNBqJtDdbafcLGqVpyahUBIZ\ntWQlTZYH3PGOL7xj1N6DXnsPxq18q2nLApnSljOeBKwAQ68JWjNKgREwJrLb3r+MfGTntJkCy0yh\n366c0cHOqr33Z7Wevmmbbafp6tFLJGJybAEpcogSaGDRBTaCz+pWKbCLxpGJeQNyEPVlk5XHFrRh\nJMItl1vcBslwK+XBFX1l2CMPZ9gOgTtNzab3VFbzi9UCL5UllTYkScRUsxcc+5Ioo+ZGctjouBBt\nZnXHXMZxKdFHMw6Bj2VCkERE8jjD4NlluoeoFv3o/rYnsXdv3ODtmzcBePvmTd69cYO/eOedJzzb\nc2o/l858PJvISYDKs7NnBd10xLBuStVJ4UjHLn1atIQOEhwzXVBdYNARbkYS6bnIZQwrfcP9uuaB\nzz2zqmWbLqXAO70FJinyXjNmMyZWTGa13mocgdwHfRB9K5GqKLWhIDcuf9zUNGGES4FNybOcl41l\nkiKfNYn7u5G92hEk12b3JQtiFCgWC8uaL9iLvtWHbh9ApTFJWDYaQbEVE1oyoLctud63ACxEzW0U\nC6KRELjXtuk0dFmjYJMnAUtkfkCXnXUOoAcsk1AzbNWu7QOmmajjYRU5356nE7hZah2xJwdso/Z+\nZHQjoVM67PXssl+YBm8WuA+sM+3rn7WOyPM07aTn6LTP2Nd5FkdwCMXPcz+6jokiBdYDjKLhnNaU\nheU1ZdFJGBIzmSppdl3NCGFfIrddzeWiYMVaEOFSUTKMkWEI7EtkPXp2UuRy6taOwrU98bdczc22\nZUmrRKENfdOOdNWajeDZixkp80RiSOzHQCWKnlHsxsB9pkN2zsrev36dD65dO8yQ379+/YWDsJuf\nO+THsw+/6TfA0dAN8NQX5mmxgWexpObrdV1/YOecDZF6MqYhK+9sxMhwHFktsy7PQXB4NBNgSWfm\n76ZvOEjCojEMlGbT5xFpRoQSjUPThCyCvx/DoW75wFgGCHWCUiUOQmDoAjWBMbm+maFYwXmPUZ3M\nYWate6CWPEFsKUaWlEZJwmLYIB46xV2ydF8BxBAPexg7oXvItfke04EmAoeZ6+wmr8kTxWY3zQWm\nYgkdA7kLsLrArHOanikLtrvGUfd9tjVw9l7BN9du0tn8c/Qbf/AHvH7/Pu9fvw5wKnj0LGDULmDq\nt1+KfI861GCMsB89m3g20Ay84iMOSMrwSml5texRiWJPEoiwYg27IXLfBxZUYrNy/Gf9wWFr33rw\nVCgW0ExiFsy464RSaT5yE36wv8t950kknLaYFLmoCkqleK/e5wvfMGoDvU1yp4YWYQGoYhZAepx+\n3NPaqN/n177//cN9Dk53j+DhoAme/l75pJbSsym0vDAO+XkY4DcP3fznH3zAH/+7f/fC1lYexzqZ\nOwdsz4jAQx6XOXSR4CNeFH3aoR9KsxUd3iVEKxaShlYpbJQCfWNBIo3AHcmzlxeMzQpQ0bGbcs+k\nxRAAnRRjQgutZ+tEB3bJ8HcH26b2Zx3uMiJLfBZAIE+a6WB5eLgV57i/v+tt7GRY5223/Zq3wLRG\n26Eh3bXms9dHkW86ex4pkN3m3G+ah56jP/8X/4Lr6+t8cO0a//y3fusrz9ik1zvcxI87x3HHnWbz\nn1X46/SaPPk+ZkUp2Cex3yrMJUmkulPVMqzpfPfqdlrXVgzcjpFPnOO98ZjrZcWDGClUVrn6IGSS\n10H0FCbLVH7mam57x6RFdWx0LGrLVvBsOcd6y3R35LU6e3+fhhOet1G/fwhTf++nPz0Wwp53wJ3j\n/vCVV1BK8Qu3bj2Xe2Xj5pvvno69MA75eWh5moduUOrUtZXnEeI56/c0Zuq4Og3a2X/vSuCgmaDJ\nwvkpZXUzg9BHs4GmIRNTPNCP4dCxC+CjYyVZ9iSwzVSndtD1wIbpOumySEXeZDtt8w52n3/8hK+2\nbczbaZzckxRWZmvyL5KdtDl/9Oqr/MKtW9y4fJnr6+tAfoYQOXzGPnzlFf77P/zDw038N/7gD/jB\nv/pXXznHSceddvPv1sNsn2wnyNr10HbOOZCDTt1MWNKWPaVZUYpGaeoYs7xle5ZdHJ/UY6LKE6jq\nEHFkxv12CDgljHxkTDokygktbyAFxmlaQuhauZ6VHbc/HAVhd8fPZs6zwdV3bt8+/P2jAqhv2u48\nk7DmBXLIz4YDd7IdBd3MLswvrlzhez/96VfgGTgZ4nmWzrq71hdXrpy4aT3pezqKsenJTtEB4+iz\nmEf7WgfLWhKKdKi41IlKdGSyRIZn70l2W7OPTwdhz2aXsyPX5u1Fc3xPw05b44WHYcjj1tf85vwb\nv//7THq9rxz3V2+/ffiM9ZuGH/zrfw3kTfy/+o//8chznHTc45KQ5jPPzgl2a6sjRw3bryrlEZnL\nZM7DBGFIduZraGKbWQfJQjqdQz1oZzJ33RCdqElXalAz1zstKnKWdlJJ4Kh98Hs//elXUIv54KrL\nkOcDqOchW342StZn7JBTSvz2b/82H330EWVZ8ju/8zu89tprZ3mJY23zmVzl0TYL3QCHC3N2Y5mH\nZ+ZhuHmI51m1FMxeaz4zedrvaa/9Ok2PagcpdzBiB/8Kx8Nzx2mT/9we3066/7Ovza/z2cz0pMy3\nc7zdOWc39+5nf/HOOyxMJg/9zv/+9//+ked41HGd0+je/+MEmiehF91koW697iMPMdZjW7rpxsJ2\nan20/3avzXZOzGrwP63A8biAavb7RzGru31wfj10qMV8cDV7/vkA6nlgbeunRol92M7UIf/pn/4p\nzjn+5E/+hB/96Ef83u/9Hn/8x398lpc41hafyVUe37qFOVtXmYdn5jej2Uz6pIV/1kzU2WtdX18/\n3DTnN62jauVnBS+dhjrxbMCj59OeBlryuOc8ak1262c2C5pf57OZ6fz6mt+cZ9/HfJA7+/P53znq\nHI86DnIG9yhU6EmsCxxrvuq4R3yVrDcfNB41ieis7TR13aOCq+OCmlmbXSuzqMV8cNXZUYHWced+\nllb+LDrkH/7wh/z6r/86AN/97nd57733zvL0J9qz+bie3GbrKvOLe3Yzmt8U5hd+56yP2jyAY+Hm\n7rXZSPRR15pnt3ZBwvzf8rzBS8/CnhSy/TrXehoO41Fox1F/53yN8IsrV47MgubX+XxmOru+jtqc\nT2Pzzvok5/2oDO4oVKgLNL7O/TsJTj6N8MbTtNPWdeeDq9fv3z82gJq1+bUyi3wcZ8cFVt+klZhH\nH3QGdqYO+eDggMXFaa5qjCGEgLVHX2ZtbYC1Z/OHLp/JWZ6eHRWVHwXDzTMUZxf+7IY8v3nMMrpP\nem12k5w/7qiH7MG5c0du2sfV8U7axJ5H4tqT2JNCtk/SBnfaMkJ37ON+vo9CYI5rP5pdJydlQfN/\n71Hr65u0k1Ch2UDjRQ025+//SXXd2bXc3b9HBVBP6lxPc+5naS+vLnDx4tJTv86ZOuTFxUVGo6lo\nXkrpWGcMsLNzdvIC22d2pqdn84vsqAV3FEPxKNh7fvOYZXSf9NpspHsULH3Ug3Dcpn0UvDS/iXWb\n+NPI7r4pOwmyn3dOnc0HRkc58qM2rdOWER4n0+3OO492PKpcMtt+9Gvf//7hOnlUFnSaDPabsvn3\nPht0/CwoUM2vm8ctVX1x5cpX7t1xicPs94/z7D5v9/xJ7KPdXX55Y17p/8ntOOd+pg75V37lV/iz\nP/szfvM3f5Mf/ehHvPXWW2d5+hPtPPDpM7va07OTIsqTNg/gVK8dVQuahw3n7bg2hqPe73Gb+KOy\nu2/SHjezPAmyn4X95z/r49rgTnKmJ93z4xz3PFJxEqFwFu04qYRx0v17HiHG09pJWftJ6/55sKMQ\njNN0Rhx1n08qHTwqifjbYM8GsAYlcnaaYB3L+uOPP0ZE+N3f/V3efPPNY4/fOMOI45+8/0N+cGZn\ne37tSYlcX7eu+TiR91EQK/BQdve8ZMiPgp8f9XnOQvYAf/eP/ughyB4e3d72vZ/+lP/0L//lqc5x\nkuLRcZvz/H2Ytb/7R3/0kKDDce/jRUI4HseeZyWp+fv1T//Nv+F/+Lf/9vD/86WD457L2TXwczva\n/jvgn7z7q2d2vuMy5DN1yI9rZ+mQ/5v3f8i/P7Oz/dy+jj1OJP5N2/ymdlz/63H138dtATvKyT9u\npnPc+Wbf37s3bjz0d3Wb8EmKSE9C8PrbYl+n1e9pfW4nrZujWitnA8enERyfpFT3s27/I5Z//O4v\nn9n5XniH/N++/0P+lzM728/trOybEDV5nFYvOLrNYz6L+I3f//3Hrv8+zvuF453pcRnMacllR5Uw\nvm673NO2ozb32Z91E6eaI457GvYoFOO0yMVZIwvH1ZDnkZv59XuWwXFBvh+J2Z7rh+9L197VDVv5\nWbP/VQ/4B2+/fWbneyY15G/SVp7z+Kzkb2f/7GkJHV/XEZw2uzsq8z2KMX4SMe6oGurjQn5Hvd/j\nSFKn6fE8TV13ltF83Pt9Hgg4lqwr0OmMzw7eAFgFrpqCYYIH4nFMp2NBftY65bduVvfXtZNavU4K\n0J5UR+C0dlI710lkrSdhuFdM74mQ74kFBjPHdJ/9IllJL7Wv65nf6cRPHqWY9zzZZvq5dOZj2d5z\n6Iy70XiQF+IaU7k9mKpSzU4Fep5sds5xN3y+e4jOwk4LbZ+2lnsc8xmOrp89ijF+Emnu6xJ8HteZ\nHmWPctzflHPt1krBNEQOM99bplKTnaRp16tbABeBy7pgQSkmSdgXj0fhEQpV8Pf6PbxW3HINymkm\npHb60nStLrdfB2RHPWY6hrKTWlVMBTkeZY8iL3br7VG9/d09etqZ83Fr6EnXw4CpVnfJdH52JykZ\nUJQIBZrYfl8h7bGqFUVJlOTxo/Cwktk+UwnSzuE/T3apWngm13lhIOvfev+H/E9ndravZwU5Qpwd\ni1cw3aC62beWvCkUKAYIu8AO082iZKpl+zTFA2blKnX73qr2muP2fV9gCkXNzs/tlIgeNws5Lfnr\npHrqcT2/X6d+dhbqZ4/793+dDfmbgpg7ucdOkrRHXiedzKMhr6F++/8RU83yVaZregXFqi7YSYED\nEovAq2WPy0XJOWPZl8iXztPEQFKK88ZwoSgYhjwisw6BW96R6GBshUVoEFZsxfWyZCdGbvqG9RQO\ng+GCaVAwZqqkdVo7bu0dRZg6Ctp+Ugi8u/bTuuea6T7l2+/7ZIcs5FGgS0VJHWIeUSoCWrOk8ldP\nwwjFfoz0taan4IKx7EpiLyYmIVBg8OJo0BitKJJwQGKbqSN+2vO2H9f+Z7PAP/rOd87sfC88ZF1i\n+abHAnSb0AWgQnNAwpA3qYP2mA72WSRvAFpZLliDVpq+b3CSo/0O9ulm6yqyXvdRm0YXsc47xd7M\n951W7jzwssI0Q+8eRsN0nOVK+z5KY/ExUJIhJ0N+SLvJTV0Gclo7rr92PoM9aRDAcYIU82Il89Kk\nJ9XPTsoqzzLjPKtWobPOgi05gxGmWev84JZunS8xnec8q7ncZVI5+zVc1hqXIrsk1tD0jKXUJ6JH\n0wAAIABJREFUim8VFY1SiAKfItshUipYsxWrtuD1qkSh6KsJd6MjxESF4q4PaOCc1oy1ojCGSQx4\nbVg2hlJrdEqIgqg0C1ZxXiK1F7zk52K5MNQ+sEWiR/7ZiIfHhJ5ks/fvpFLHfG//cf2/x/XvHyWu\n8zQy625Wt2n/1VqTUmohaMOi1qQEg9Kwqi17yhPzBsaK0qwYw16KlNrysgaFISEkBSpBQSAlBTrR\nkChUyXKIFMpCqXkFeBA9mzEcZs7PemDGSbbU6z36oDOwF8YhD7SB9M04ZEveoHpkB3bRVigSC0lj\njGYUEzqFdmyaYVErotY0KbFqLX2jUUkIpmQh1C2sY7hkNCElxlpjk7AqgZtMnXIHzw3anzVMxxt2\nG2YkR7i0AYJjmtV2Gc2Aac2umyDTnWPVlKyhGEqiUZoVyaPlGuAimiWl2BLBkKfTNJyuVn5cf+08\n5DcvtzgrXHGcIMXTqJ89DXsSZ3pWTIkB03vdBXIVOQPq6rVdHbZzuoppsNbVc5fI93zS/qzLnNdQ\n9JRGa8WKMSybHj4FvNIsGsOrtuD1Xh9BsRMDdQos+cCyKThXWEqlsEqzag3XiiX+ejLmXvA0Mc+k\nXlCKqBSXtGHVFjQxMokRZTU9MVwaGIxS9JShr2DFajSCQ7OoFJdsgS8Vt+sxQwRtFDvOHepL7/Fo\nKPu4eu1pnelJIiTzIizAkaWZs+jnH5B1HAaAUQatFJd7JS4KdfSsmoJawCthRVmWjeFCYYlRWLKK\nZVuiUeynxDAGrhYF7/YG7MXIXe/YSoEBlreq7LQ/cRN2QqSqDD2EFVtQKM3rVHzgJtx1DoOwxbT0\n4flm0y1jnk0n8gsDWf/hRx/wu+HZAR1d5tuxBxeAFWO5XlSsaIsjMUmCUcKma9gXWLGWV4ylKizj\nkLAKXqtKPMI9F9kKjkmKLGvLeWNzbSwJThJDSQyS5nM/YRc5dKjn0fStRSVhmAL7yOHG2NVnLukC\njzBMkdC+3mXsilzbvmorhgjEhFY5Qq4RzqOxWrMfI4PCcr0oiTGy4QPaKNa9Yz8mSmNwKbEpkQnT\nWcSa4x30cdDbcczR07YinXTup2klOSjTcPgZzFtXpjiuBNE5vdlss8N+LNNgrEMwGh4mx8jMeezc\ndRQ58FoFFoqCGCJR8kjLQJf5KpbQrFqLU8K2D0zasZeevFZ6qDxpS2lKrfEiTNpg2AALynKhLLho\nCwKwEwOFUpToXBLRimtlj2/1eqwZy2YMDGOiELBasWoL+kax5QOV1lwuCm7XE750eSWdtwYleXrS\nsjKURuEFdoPHCxRKsVZYLmjDQUokBeMQ+XQyZl0iF7VhzRS8VBUMfeSjeszQwAf7B4wkO/wusBwz\nDVxOstOst6Ng6qNkSk9i+J/UtvYo64IlzXRaVAVcAi6bEtsmBsoY1noF4zpQaWHNloxSoq80V4qC\nQkMhmv0UWTSGd8s+hbUoEW55zzA5VqylJ4p73iPAy1XF62WPt8qK/2O4y/+5v8ut4CmBC6bgW1VJ\nEMWGr3lv0jBM7nD6VTdiUsHh+NVnbT9Yu8o7L710Zud74SHrsbXPLITqiCgdvLVCHs9lRbhclKxY\ny3rjqKxiVRtKa6lDYslqvmN7RK04MJE3yorKGCqBb1fCg+DYD9khXyoKbjrHRAIpCZ/5BqcSv6T6\nfJECLkQuacN3BgMWCss4BW75wGfjCQdEPDCwlkEUDIpFBYOizPU871Ekxu3fcb6oWLEFgyR4k9gX\noUCxIMJ5W4KG0uTN1yGcrypWi5JPfU1EU1pNAayZkiIFtpI/JNBAdlKBr9aFjssQj2OOzut8zxKy\nHnWOs7AB+V5PmA4F6AhCtn1tgemm0dXhusBtkby5dwFK5yw7uLdDOy62v7vFdCPSTDPXrs5ftNfq\nWkkMD5cSulJE53DL9j1WSrOmNaYqOBeFbSVsuQavcv32raKiVrDhHQUGUmKUPI0kBmWPVa3podkn\nMUDQohhKgYhgtOKiKYhKOGdLvlWU/E095iDFvAZSYlFZCq05by21QC3Cos7r64KxvNnrsRNC69wN\nldZcKiscYFEsmhzwvm4sF4ylEeFOcCxpw6WioKd0vo7RuCTspYBGc6GqWEyJIAJKcd9HLmvD24NF\nbojjS23wKc8tvoKmVrCdPEMePXP4NOvttIp384HnvPTtUROTOuueuQ4969bWbKBn2vXjgGtofmmw\ngNE5Mw4pcZACoxhxKnFBl1wpCq7qkl9cHFAn+LQZsRECS7bggrV4o1g1hsvG8FpV8X495p7z7KtE\nX1verCpWCsMVY/FK8Y9XVvECfzkesuMj56xlIoIIRGU4V1qiixQJIDFBDpOLVeDeiZ/y2VsfWC7L\nZ3KtF8Yhv1z1oR5+rXMcBwd2GUqXDRvyJtdlxhdUQa0EEkQRXBJECaIUfat4V/XpFXA/eTZJLCWN\nFgVGc7WoCCQuCLxUlDwIgUYSWml+dWGBKLCXAmmk+LCZsEHkojEYW3KtKhClqNA0yrBqhLeqkns+\nUGrD+YWKjVHNBMEow0Vj2ZVANJaYIhWKc9rwalVx3pYUwEYMLPsAWnFFl6yVhk+aGpEcdExS5AsX\nqchZyqLWoGDNFKzYggvBc9Pn46zAgURq8gawD2x8jfvzLKQMu35KZv6NZGf6KorSGFJMbLYBTcdC\nXwRW0K1zzuSkAVN28SKwYgpCSjiJjMgD7GumBL7V9neiMkRJWOQwM87Zt2KpsLymK5aMYjMGmpTY\nCyEjH9qwrA0v2Yy63PSORiKTmB3SeRS9oiAqKAvLsksUVclajJSVRoDrZcEExVAil4uKd3uWEcKN\nuiaIcLmwrNkSrYRxTDiEXsuiTUCpVS4fCSgRNiXy7WrAl67mfmiolOK8LfmV/gKrxjKRRKk0VsGi\nMaxo2zpMuFKURAGrFG/1eqway07w7KbEirK8VJScswWlgmYCm6nBAj2tOVcUlMBOTFy0llHKn+c9\n77FKUSqFUYolY7kKPAiRl23JokQuao20qFARQEXPDlN4v+NanCZznrVH8QZmnfq8nvRJWuGQn68l\npu1GB+266pODsI6AZ1FEVEYslOK7/QHf7i3Qs4ZfqCpcEt6vJ4wLmEw8l8qSSimWjaVAs1oYdlOF\nUYbz2rJqLUqBQdgMAY9QKcNLNhGUZllnJ321rHCSqFMCpfmHS0ssGEUSYT06doKwF/M6XkiKfWMI\nKdFnyo/pSicVz66+3D17Tv0Mjl/8Ju1B/TiUomwdfDg/6H7WFtrjumyyq6sV5IfgijKcLywNQiNC\npRSJREDxsrFcK3tcsiVWaSbjAw5aRuGqtbxZVLxeVmwEz3aKrGjNBWvZDpGJJAbGcq0ouBs8Pa0p\nUXzoxiTgdVOyqC17KTJUiSbBMAoDW/DdqkdEiIVFlwkr0Cssa8bSc45GPJXWvGwrrvUK1kxBqTWF\n0lxNkU/UBI9iyRq8VlRag9Zc1hYUuJSYpIjSBmU118qSt3p9FoyhSYm/OtjnbvTUMaKToRJhwWqq\nJuII7B3xOc+2iB1nT1MzeZk2e0TjSey097nLJt61JatFidcKlYTCOW5FRyBvei8pi9WKkVIsRUFr\nTalhRRsc0NeKy0XBOZ2d8n6K3HWe/8+NaMgb6RumpCoKGgEkMIqJ9RhRKjvj89bynd6Adwd9tkKC\nesL96Hm9KAlAnTyXTMWaLdj0jjVrGAW4ajXLtmKkEn1yXbcoLec1nDMFB0ViFCNGBKcgIFzBcrEs\niQpS8LxclRiluFxUvFaUeBHuR0+TAjGBEyhUzsteKwvWjOVTV3OQEj2ruK57iIMlrflW1aMyGpTi\nzaJHoRWNCANtEIQHPiAoFrShScJIIinmYHeYEsta81JZsmota21t79WiYJQiB5LQKbJiLAOtGSeh\nJnGtrLhSltx1nkWd19qG94xjZCtFXu71MIPU7gPCJCUulsKuDyw7zW3fsN2uiQ7xEHKt+XE6DE6L\n3Mwfd9K6HwBXAKs0QYQV5LA9aU0ZrvV7FChcSkRU3vOUsKQsb/cHLGrLlaLgclGxGTzXq4reUg9l\nHQUaR8KgGUti1ycWlAZt6FuNUdA3miDgW7SkUop+UbKkDT2lWTSWvlIMtGWXQJ0SNYq/019kL0Uu\npZItH9jwgS9dzUYhlC6idaKPZUkrDoLjPjyEvM3b4/ArZrsEOpRr3sr2s33FWhZOGJJ0lvbCOOS+\nnhbdDcd/yLPHzNbnOmfQZSuzfZEDpi0SwpTwtAJcKEsWtUFLQifYlUgvKqxWXDYFgkIrRUNiRWsC\nEa0M3xss8kpZ8SB60IprpkIroacNq1bYiZFFrbHa8E6voFIatygMas1YhFVlWbWGYYrspsAFNE6E\nregIMS/LMmleLSt+oTfgqrGURrPtA+9NDqglsVyUnDeWnslQYaUMW8GBCB5hyRSsGsPrpmRIJCTB\nikJrUErxRVPjRHint8BLVYlIYqQ0bw8WUM2YOiYqrTmnNV4S76kG7UCncBjBQ3ZGXUDUCTwc92B9\nHSh6lkXefXV12gooyLDpIEFfKZxEFJpvlxW/vLBMpTWFgoHRrDeO/2e0z13fsKA0i4Vl2RZcMBko\n3IqeOgl9qylFuGgsr5Q9zhnLhMhFNP/FiuX1YcFP6gmvFBWrRUFPayyKYUrsRUfhHEMfWC4tbxU9\nfrHXR5Sm0nChKBmmwFb0aFFctAUvlWXr4CwuJIIRAoptiYSUWCkNV23J6kKf7YOGymheL0vGSZAE\nd71jSOKSsSwby0FKrBiLQVNoxSVruVAU9JTiTfrcCw3b3rEZE1shsmQSWmsqq3mLPveCp2c0F0vL\nW70eoOgZjRzWofNaQjK3wSjNktFc1JZlnXkJN11iPXi8JFaN4bwtWmds8+8CfWN4vawYp8hOioxS\nxChFqRXjCPeC59tVj7V+3vI+bxpqhC2JeIS/t7LK50GzGR3LyoBSNEl4Px2wbQJLsaCURCMJqxQi\niQnTksBpepm/jh237jvyJoAyhkHIgXylFSihry1XbI9z1lJLogImCPspUijNy1WPUml62jCWhFWa\ny0XJWr/P2EESQSnLstI0IuxJxEiGt6NkJnsC1rRhxWZUYiSRBz4wkYRRECTfP6NyZh4RJjGwnWIO\neJXhjZ7lqk30taKeJPo6sBczyrJmLToW7Ilnn+kePctNOWSHM+1HZ+71WY5Ftw+chHB0mfmKtSw+\nIx7KC+OQUfrQaXaCA13TenfjuiqAzPy/U57p2MYLTNV9OtapMIUyhWlbx7Ip6CtLQhgoS6kjQYTt\nFLlQlgSTa1V9rbmgNLqnuJwSPaWojGYzBIxSvFqULBvLfswbCcBLtiApqFNiPwmvFyX3vOdqWbGq\nDesx4EV4xZasUnDZGL6VevyH8QH70UNSXB8MeIeSV9racUR4WRsWC8vnTU0fxZu9Hg+CxyjNK0UB\nCha1YSRCT2smKVJYw3VVMEqJgxSptEYECq14q+zzD5eW2YmR+8GhleJcUfBt6RFRNJIzyO0U+G6/\nZGEg/Kf9IX/laxLZGS9gOCAeCgNYpj3csz3Sj7JZh9uRlDp28AC4aAyFgAj0lKJEMU5CQLBas6wV\nPWvpacsVo0FDJZbLpWVJG4btBiRAv7C8XlYkBUta8Xa1yOv9gpeKPnWM3PENuzGSRBAFl2zuqy2U\n4hVTspMCtcD3Fpd5rb/Ay7ag0Jr/n703aZIsObJzP1Uzu/f6EHNGjpU1AugGusHuBzaJBXv5Vr2H\nCH8Ed809SREKd73jH+CKIuRP4JaPInzyhN18fGw+kOwGUEBNOcbs7vdeM+VCzSMjs7KmRFVUIelH\npColPCI8rt/B1FT1nKMnJYMZJ1Z4NDgpKalyoMr3JlOmMRJEuKGRu8nztJ8vL5wzoC5JOSmFm6nh\n7dTwN/2Kvxl84zQVYaaKqrIdAmMQnpSRcXAm9IrMCmGugXebhmlIRBGO8sBpLgQVvt9NuB0aENgN\nkclK6M3ocSnSXgzshsiqGF1Q3gkdK8t0QZlrxKwQxDubjcBZLhSDpRWSKMX8asfKvj4aMwuMYkYn\nyn707Hsv+HlYoxFhFhQRKBgCLEqhFRiLsSLzYBy4ERO/6Vd8PPYkgXvRV4VpCHQIc43MQ+SNmHgw\nDpy2HUclMyHyYFyCuUriOGesjBygtMAphQd8upS6JlGts7FXKbWu+QNXCXtrUuchLi2LqtwNAQ2e\nILRBOR4HbqeWP5nNuZmiy7kMKIVfDytm6ufxb/oVd5KwR2A7Jk5KZhYCJoFzG2lFuMA4iIk3taUA\nD8eBs+wBtFMliNCbqzjGYhwXXwsPoycTg/kmYGXGaN7X/2QYaEX5vbYji5Ai3LGGx3nkuIwclREV\n4ShnViLMTWjxCs6CZxyN9TlZ/7eFt4N44XxdxZr/s9ZXL3lW6bhKiLwA3u97zpdLZtfQR35tAvKs\nS0wu/ASuLwx40F2f3PUuCp5pDtfEh7UF3No5q8MZpVNJDDbWn7XLAN6I0gXlwjJ7MXEYAsUSj3LP\nPAbeji37kriXGu43LWrwMHvQySIscuYwNdxPDZNadtsK4VJsPw++Cz0hc1Ey5wI/aBr+nzxyURec\nNviDuBh6fknmvdTyvablSQ4sC7w3mTDv4eM8sBsio0GD+a5UlbspcVDLnRelMCDci4kTDRyKMBXh\nw2FgtMLbTcsneYDBM8dPxhEz5Z3UcZgaDhPISvh46OksMGsnLEuhUeE4FyxDZ8JuStxIDYtHD3ia\nR36/6ThV5ST3PB1GjiiXdnuCB9ar1+mcZ4zjGb7AXe2zzurPr19b99Hutx1vzaaU5Ui2wgO8lH+b\nwIKMItyMgXlsuZcS2zGxUwPk0ozTceTCDKtZVcC43URuNA03YuLtpuNOSkyDsiiFqIHYrzizwv0Q\n2A2JoC7DaYJw2mce58xuDHwvNkTxBWFLhItc2C0wxMD92PB+HtgLkSjCYMYEJcXATOAnkxlHNXAd\nhsSZZZrKTH4zNdxtO3YuAh/0PXdT4o3O+38/mEz4oIcHw4rRCucZlnjb5PttyzQmtoKLmzoJTMPI\nVAO/30w4KpkovhDfSA33rTAjsIqFO6lhqkKUQCNCBj4aelqEVoWLIuxHVxEcl8wyZ05LZrBCNkME\nRjNOc2FpruPf1sjtNjFiBPHNQ3qhp7f+eqpKJ4kg6hkcwo3oG9D/d3nB/djwII+UUjiMqQb4wFmM\ntFGJQ+HpOHCSM3uq/MF0xm4K/Kfzc0TgaOhRDdwQ2LLEnZTYCYEHQ8/OaskH5s/4mm+yrsCsdd1r\ndryw7uk+vwldJw/rIDy5soZd/cQLXHZ4r2mcq6KB7aCeHYuwzJnYJP7BZIvvdxNUhVZ8I70smZ2Y\nOIiR9/ueKEKq59b/tq9BF5YxoDdjooHd4AQ7gFkIjGZkM+/t1n9HK5waqEAn/iyclYyI0KF0CCko\n+yEwkUAADlNDAI5LZquSy6BwUY1EehFKMBT/bFHgw7G/lGfCs8RpUc/XOoNen/v1hsaunNt162G9\ngV9//6onlwFHpbAcr4cx/NoE5B+3M+6KcGT2nIXeWmu7zbP+z/oBaPELtyZsXPVn7YADjbSqnI0B\nCzDJzvZ7RGarvncjsKuB99oOJfCGtYgYP2yn7MbEQQjshciIsT8qvygDwZzN+kbTMlF97nPshOcv\nyXYILlMqmRQCt2LiaR652zT8nXbKuRkZ4+EwclI8E5macjsEfjyf89HTM6YSOAgJFePBOPoDJsph\n8t10HyIqmadl8MUv+UJ1kTPnVtjRlv0YffdrxvsrX0B3QuCNpuHROLIdAvdSw0ke6WuWvxUDtzXx\niQwUMYax8JtxxWFI/J97B6zMmAicZA/BT8eBv1ycczJmFjgrt8NdzDpcR7oEHlSy09rIfgLsAz9o\np7QqPBgzJ3lkKJke417quBs7ZikxDDCJQh5GjnMBVd4OkShKEeXvT2YUhd8MPUdZuRcDNzTwAcA4\n0gZlOyRmGpmrZ3Ja+2NzVc4pHOXMQYw0Ch/0PaMERoEkSgqKYWxp5CIYYl65EFGmCEqhVwENfI/E\njZB4Ow9saaoLbmAs/vmPxkwR+Ol0iw/z4FmkBm7EyI/aCajShsxp6ehi4JY27MfIvdTw7nzOfGns\nx8jDsSeacGbKva7hICUnNInwZmoJwOOc2QqBXFfATvy+naqyFyJtq4zFWdYTVXZjYq7KWSmcl8zD\nceCkL14hSJ5VdwgrEcSMs5w5ozipR5WZeuDe0cBUFRVhUVzr3r7wzIBnyGtshchElad5JJubgUxU\neTz0/M+8dPlXCIh4P3WFcSslPtTIY0ZOy0ggsBcCd1LDRISPVgOrsbBKkb3o5euogb/XzWgl8FEZ\neD81/H/LC87yiBTlhMx51eevpWnrTO1qIjDhWSC+ugFdO53NEHZDojXjTGDIhX2Ee61XKhoJ7ITI\nYYr8aDJBEH7Z98xUud85D2A3BLYk1FJ+YFID6ijGj9qOmToPBnMHtPOcWZZyudE5jPFT5z2KEK+c\ndzPjSTa2grIXJgxWWJlXLMwgim+coioTUabqZfBWlYkqcwsc5cyYoEyMs7HwK1mRgvBkGHlYehbm\n/fFdDZSSOeOZxHJ9TgvPgupVB8K1tn5tkrR+fckzbf3VIN/W6zXFS+fXgdcmID+yjMRIHobLk7r2\nX3VnLGEAzirh4a4k2qAMeeTY8uWFC/jF3NXIW+2UszywikYRY2VwVheF3dRyO0ZSfRDuNx0HIfGr\nYUWHl9Y6VfZiYl4z4HfbSXXnEm7FhulLFpaXwRcPOM2ZNih3QuIwNuylxLYZgSn/xRYIRpTAICPn\nGBc5syrGnZRo1OsGByFRzHfDhyGSgb0YiUX4eBg4t8xU5XLHCrAfA1sh8AYNGJxq4VhH/o9uykHT\ncJYLx3mkFeUwJn6+HF02pYG/zSsalLsx8avSs+iNMyn82dYOnQY+yQO/6HvUjLPSMtHAR8OKRRk5\nKcYsBH7UdPxqGHg8DqgoO8PA+6VnraG+G1r+YDrj+5OO0YRHw4qzkvlF33NqmRuxYScod5qGHRKD\nwf1Q+PW4ohHjdprSBOVsHOmDocUX/0whSqIEb5TtpMg7zYS3Lh2klIW5X2+rypM8cjyMGMZuCLyR\nau+/FFoNNUgLUwk0jbDTL7koxl6IJBXOSyaaEERZkJlq4B6JE2vRNTMYpWjhxDKNCsEEC0YchSfZ\nS40/mcy413YE4CRnIsK97KYbR2Xgwlz6cxCdiJYEFrmwQ+R7qaUJykwDc1EmIRBFmFZSy+OaKaw3\nkl1dTI+zb346837ulioiwnYIvNO0GM6L2AnBS9zm99ZlBiPCJ+PIrZC4GxNb0fvUcmXBf3HzehUi\nQhLnKjQ1UMxF+WDsubDivXJpWZVMD05wrAqBRSkszdgJzty+kSK7mjB8w3Q/tfywm3FaMmH0xbtI\n5FZMTGNkMCMZvNG0JIwzM07zyPFQeELmvBSsFHYpnOIBQKmWlBJokboGGVOeJ44JMAuRrRgZxchj\nZhojN0IgqCJmvNt1/H434aJ4+X83+GZ7LwimSisuRVMRPxd1I/LJ0DOVwFvt5HJ9MYOVFY6HgaEU\ndmrFY+sKR+dl8GDsG/VOld0QyZUXICKYOel1ZYVlJeoN5qXtbMad1KDi8qneCouU+OPpnHkM/GbV\nk4Nvuj4YB85HJyAmlBkFwROoQ42clvGynL3WMa8JeOsy9bokvb6b1sF8ildYn7nViRMcU2Kycer6\nargR3EHmqArR4RlLVnALvWCZBpij7DWRi2JcmDxXRlr3iPejv9+D0ntZqQiPq9vWvgbebFusyn5u\npZbbMbGXGqIqg/mi3In6Q1+xHQJbtfS4+xVZezMNCO4R++HYs1uMh6N3UIIIExV6jLdSw2iFbfUM\n4E5M3IqJqIIiiBoFY69mU2fFF/6pBo5z5uk4Mgm+cz2rxI+pBkrt/fQY97qGH2nHvdgQK5PyKGdW\nVsgYZkYOcJYzQzEOknIjNkxEiSYMYpxizINyOha2gpIQGiv8oXh5bbCRmST2VDlsGu6Wkff7ASuF\nj0LgdJUpBjN88QmqnOXCwlxWcTsFdjTRWyao0obAn+zskM4HxmI8ziNpVHorHIaIirvxHA+FeVTu\nhcQgQqeB81xoRXmn7Xi3ccfk3gqzEJjiQe+0+PHcDImtxkt7y1I4CJGVev9tO7gF4TrIDOYyt+3g\nr01VaUQRjA+GgQdjz4Ls1xLh41pKFYTtoOxphBrIWw28E1yGshUjmF1WT+42Db8fppzlTDM4qeY4\nZy7yyHaI9MFoxANZU7PwXUkc55GzktmtVRvPNr3Xe7V/O9OAykAuxrxmtVcD6TQE3mhaDrKznxt1\niVWpZc4d4Kz4pm+qilW2cBb5SgvUVJVlAcx4PI4MVpiHwNT8751LYVorTocxsRcjtj6GGFnGyEyd\ni3JqmaP6rM1D4CAqb1XC3CJnTs1og9Kq9zgL0AThfjdlWQr/vV/SBuOHGviwX/LYjEThdPTflWLs\npcQsBooJ2+PImRh5GDjBWAENyrup4U5qvFVjzlgP1apSML7fTvmT6YwmBI7Ggcc50wt8v205y67l\nvhUbmroOqYjzP2rFpou+0Qm1AtGor1mrLnGxcDOQrlYoPgtmvtkazJ+T9f1y9R4REbpatt7WZ8H5\nJGee5pEoSlclc4chcpwzB21Db4WHw8iFuTJFRfiEnkeDbwADwh7GvkZmsSH3hWW1LN7Gq2jCsx7x\nukqxfh2euYGtbY1bhN9LDceinA0D359M6DYs66+GO13HH0yn/Gq5vGRBO2FI3X+5kkKCQQyBJ3lE\nx8IF/jBt8czDtiHQivfXVsV3lBgM4rvNu1Wb12O81bS803RO2LBCp1Cy38CToM+VdFSEd5r2c2/u\nz8NUnTW9G9z7OgiEKmO427Sc5szbTcvbbctxKTQxIqGwU28mM+NpKUy0Btn6vq24tGk/RI7HzNNh\nYC6BwYxdDazMfPeMGzis+z6xPuRBXJJzOo48ziNZ3L92FF+M76SWSVB2olsl/vXygl9n8aQ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lvJWdYfGtxrJsxD4EkeSAT2orKVA+RctbKRN9qWSODI3If13ZQ4K+6wO00ueTpMyd2Fsi/AUxRT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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11fffe320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for yp in y_pred:\n",
    "    plt.plot(np.linspace(-6, 6), yp, 'c-', alpha=0.1);\n",
    "plt.plot(x, y, 'r.')"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "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": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
