Section 2. Model checking.ipynb

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    "## Section 2: Model checking\n",
    "In this section, we will look at two techniques that aim to answer:\n",
    "1. Are the model and paramters estimated a good fit for the underlying data\n",
    "2. Given two separate models, which is a better fit for the underlying data\n",
    "\n",
    "----\n",
    "\n",
    "### Model Check I: Posterior predictive check\n",
    "One method of checking model fit is called the posterior predictive check. I find this to be s a very intuitive technique. You'll recall in the previous section we estimated the parameter $\\mu$ of a poisson distribution by collected 200,000 samples from the posterior distribution of $\\mu$. Each of these samples are considered to be credible parameter values.\n",
    "\n",
    "The posterior predictive check requires one to generate new data from the predicted model. What does that mean? Well, we have estimated 200,000 credible values of $\\mu$ for the poisson distribution. That means we can construct 200,000 poisson distributions with these values and then randomly sample from these distributions. This is formally represented as:\n",
    "\n",
    "$$p(\\tilde{y}|y) = \\int p(\\tilde{y}|\\theta) f(\\theta|y) d\\theta$$\n",
    "\n",
    "Conceptually, if the model is a good fit for the underlying data - then the generated data should resemble the original observed data. PyMC provides a convienant way to sample from the fitted model. You may have noticed a new line in the above model specification: \n",
    "\n",
    "`y_pred = pm.Poisson('y_pred', mu=mu)`\n",
    "\n",
    "This is almost identical to `y_est` except we do not specify the observed data. PyMC consideres this to be a stochastic node (as opposed to an observed node) and as the MCMC sampler runs - it also samples data from `y_est`.\n",
    "\n",
    "We then plot `y_pred` below and compare it to the observed data `y_est`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import json\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import pymc3 as pm\n",
    "import scipy\n",
    "import scipy.stats as stats\n",
    "import statsmodels.api as sm\n",
    "import theano.tensor as tt\n",
    "\n",
    "from IPython.display import Image\n",
    "\n",
    "%matplotlib inline\n",
    "plt.style.use('bmh')\n",
    "colors = ['#348ABD', '#A60628', '#7A68A6', '#467821', '#D55E00', \n",
    "          '#CC79A7', '#56B4E9', '#009E73', '#F0E442', '#0072B2']\n",
    "\n",
    "messages = pd.read_csv('data/hangout_chat_data.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " [-----------------100%-----------------] 200000 of 200000 complete in 23.5 sec"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model:\n",
    "    mu = pm.Uniform('mu', lower=0, upper=100)\n",
    "    y_est = pm.Poisson('y_est', mu=mu, observed=messages['time_delay_seconds'].values)\n",
    "\n",
    "    y_pred = pm.Poisson('y_pred', mu=mu)\n",
    "    \n",
    "    start = pm.find_MAP()\n",
    "    step = pm.Metropolis()\n",
    "    trace = pm.sample(200000, step, start=start, progressbar=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
    "collapsed": false
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   "outputs": [
    {
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g/zfijHpPo+5mrFxS16PJB/3hx2x9yP51u/8c5fQ+M8crR45ZfqZMmUJra6u6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\niIiI5FCSLCIiIiKS4/8DMjrK4KXyPB8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12fe8aef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_lim = 60\n",
    "burnin = 50000\n",
    "\n",
    "y_pred = trace[burnin:].get_values('y_pred')\n",
    "mu_mean = trace[burnin:].get_values('mu').mean()\n",
    "\n",
    "fig = plt.figure(figsize=(10,6))\n",
    "fig.add_subplot(211)\n",
    "\n",
    "_ = plt.hist(y_pred, range=[0, x_lim], bins=x_lim, histtype='stepfilled', color=colors[1])   \n",
    "_ = plt.xlim(1, x_lim)\n",
    "_ = plt.ylabel('Frequency')\n",
    "_ = plt.title('Posterior predictive distribution')\n",
    "\n",
    "fig.add_subplot(212)\n",
    "\n",
    "_ = plt.hist(messages['time_delay_seconds'].values, range=[0, x_lim], bins=x_lim, histtype='stepfilled')\n",
    "_ = plt.xlabel('Response time in seconds')\n",
    "_ = plt.ylabel('Frequency')\n",
    "_ = plt.title('Distribution of observed data')\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Choosing the right distribution\n",
    "I'm not particularly happy with the above plot. Ideally, I'd like the posterior predictive distribution to somewhat resemble the distribution of observed data. Intuitively, if we have correctly estimated the parameters of the model, then we should be able to sample similar data from that model. Clearly we are not seeing this.\n",
    "\n",
    "Perhaps the poisson distribution is not suitable for this data. One alternative option we have is the Negative Binomial distribution. This has very similar characteristics to the Poisson distribution except that is has two parameters ($\\mu$ and $\\alpha$) which enables it to vary its variance independently of its mean. Recall that the Poisson distribution has one parameter ($\\mu$) that represents both its mean and its variance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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cpU0zs44iy4ymmZllV5XbUqcD3JuB44C3gDGSHoqIKUV1BgH7REQfSUeQXCw4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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x123555160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,5))\n",
    "fig.add_subplot(211)\n",
    "x_lim = 70\n",
    "mu = [15, 40]\n",
    "for i in np.arange(x_lim):\n",
    "    plt.bar(i, stats.poisson.pmf(mu[0], i), color=colors[3])\n",
    "    plt.bar(i, stats.poisson.pmf(mu[1], i), color=colors[4])\n",
    "    \n",
    "_ = plt.xlim(1, x_lim)\n",
    "_ = plt.xlabel('Response time in seconds')\n",
    "_ = plt.ylabel('Probability mass')\n",
    "_ = plt.title('Poisson distribution')\n",
    "_ = plt.legend(['$\\lambda$ = %s' % mu[0],\n",
    "                '$\\lambda$ = %s' % mu[1]])\n",
    "\n",
    "# Scipy takes parameters n & p, not mu & alpha\n",
    "def get_n(mu, alpha):\n",
    "    return 1. / alpha * mu\n",
    "\n",
    "def get_p(mu, alpha):\n",
    "    return get_n(mu, alpha) / (get_n(mu, alpha) + mu)\n",
    "\n",
    "fig.add_subplot(212)\n",
    "\n",
    "a = [2, 4]\n",
    "\n",
    "for i in np.arange(x_lim):\n",
    "    plt.bar(i, stats.nbinom.pmf(i, n=get_n(mu[0], a[0]), p=get_p(mu[0], a[0])), color=colors[3])\n",
    "    plt.bar(i, stats.nbinom.pmf(i, n=get_n(mu[1], a[1]), p=get_p(mu[1], a[1])), color=colors[4])\n",
    "\n",
    "_ = plt.xlabel('Response time in seconds')\n",
    "_ = plt.ylabel('Probability mass')\n",
    "_ = plt.title('Negative Binomial distribution')\n",
    "_ = plt.legend(['$\\\\mu = %s, \\/ \\\\beta = %s$' % (mu[0], a[0]),\n",
    "                '$\\\\mu = %s, \\/ \\\\beta = %s$' % (mu[1], a[1])])\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lets go ahead and estimate the parameters for a Negative Binomial distribution given the same dataset used before. Again, we will use a Uniform distribution to estimate both $\\mu$ and $\\alpha$. The model can be represented as:\n",
    "\n",
    "$$y_{j} \\sim NegBinomial(\\mu, \\alpha)$$\n",
    "$$\\mu = Exponential(0.2)$$\n",
    "$$\\alpha = Uniform(0,100)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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bpSvRvwarHIQbdQbLjzuVUepREW0UhzrNw8VnFSRAAiRAAiRAAiRAAiRAAiRAAiRAAuVB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\n5TWcL3+8XK0GRv10nsnd3fGHO+LRbE8idk5+i5qkeabipI+Mz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StAgOaybVoq\nhgACCLStwGKHKy12/7atOAVDAAEEEEAAAQQQQAABBBBAAAEE2kXgJhVkMUOcbH8SAggggAACCCCA\nAAIIIIAAAggggMAKCkSU17CWZoI0tp/tT0IAAQQQQAABBBBA4LIWYIjTZd28VA4BBBBoSwELzPyo\nyZLZfrY/CQEEEEAAAQQQQACBy1qAAM1l3bxUDgEEEGhbgWbnlXm0bWtAwRBAAAEEEEAAAQQQQAAB\nBBBAAIGQC2xU+StaGg1zss9tPxICCCCAAAIIIIAAAggggAACCCCAQIsEnlW+jQI09jkJAQQQQAAB\nBBBAAIE1IcAQpzXRzFQSAQQQaEuBhYY5LfR5W1aKQiGAAAIIIIAAAggggAACCCCAAAJhErhThW3U\ng8Y+JyGAAAIIIIAAAggggAACCCCAAAIItFAgrryzWoKCNLbdPichgAACCCCAAAIIILAmBBjitCaa\nmUoigAACbSlQUqker1My226fkxBAAAEEEEAAAQQQWBMCBGjWRDNTSQQQQKBtBerNM1Nve9tWhIIh\ngAACCCCAAAIIIIAAAggggAACYRXYo4IHDXGy7SQEEEAAAQQQQAABBBBAAAEEEEAAgVUSGNF5vEEa\ne09CAAEEEEAAAQQQQGBNCTDEaU01N5VFAAEE2lLgHV+p/O99H/MWAQQQQAABBBBAAIHLT4AAzeXX\nptQIAQQQCJtAzldg/3vfx7xFAAEEEEAAAQQQQODyEyBAc/m1KTVCAAEEwibwkApcni20re09CQEE\nEEAAAQQQQAABBBBAAAEEEEBglQV+ovPZPDS2JiGAAAIIIIAAAgggsOYE6EGz5pqcCiOAAAJtKeA+\nVttdt2UhKRQCCCCAAAIIIIAAAggggAACCCBwOQvcpMpZDxpbkxBAAAEEEEAAAQQQQAABBBBAAAEE\nLoFAROd8QYutSQgggAACCCCAAAIIIIAAAggggAACl0jgnkt0Xk6LAAIIIIAAAggggAACCCCAAAII\nIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCA\nAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAAC\nCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggg\ngAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAA\nAggggAACCCCAAAIIIIAAAggggAACCLSrQFwFS7Vr4ShX2wh0qiSZtikNBVlQILrgHuyAAAIIIIAA\nAggggAACCCAQJGBBkvu1fF/LqJZqwPKitv2xlo1alpMsKHOHFsuvqOV/0UJCwC9gQRm7Ju06yWn5\nD1qWkyxmsH0Zyzoda/9OIlpICCCAAAIIIIAAAggggAACCKyogPVKsKBMUECm0TYL4tywiJLYjfEB\nLXaz7c/Xgj4kBEzArqm/1BIUJFzudTKofP3X3lLfD82W08pLZxEhkBBAAAEEEEAAAQQQQAABBJYu\nMKhDg25Qv67tduOZmV0GtLab46B9LeBiPR0aJetxEHSsu225N96Nzs1n4RFo9XVi+VsPGLu2gwKF\n7vXoXQcFiryfu6+fms1XKxICCCCAAAIIIIAAAggggAACzQlYQMW9sfSu7SZzoflgvlLnWBuy1ChZ\nLwO7Qb5Xi/ec9poAjRBINQG7RiwNaGn1dVKv55hd42459LKW7PrdqOWAloWCNvdrHxICCCCAAAII\nIIAAAggggAACDQUG9Kn/xtfe201ps8mGKwXl0WygxX9ss8c1Wz72C7+ABUhafZ1cFXAOO6c/OBOk\naf8GnqpzvOVhn7VLcoNL7VIeyoEAAggggAACCCCAAAIIrHkBm+TUf9Nr7x9Ygky9XjgHmshrSPt4\ny0GApgm0NbhLq6+TeoHGxcwpM+C7lr3XtfW0aYfkDuda1bIsBnFVC8bJEEAAAQQQQAABBBBAAIE2\nELgQUIY/07ZvBGxfaFNeO2wK2Ok/a5sNBWmUso0+5DMEZgXCcJ0cUVmtx80/zpbZu+rTGwuOXMpk\nPeNu0vLSpSwE50YAAQQQQAABBBBAAAEEEHhP4IBeev+67762m8vlpK/qYDcvdz20QIbuX/Td/elB\nswDYGv241dfJSvSg8TZNvTltBr07reJr7xCuhf5NrmKxOBUCCCCAAAIIIIAAAgggsHYFbLSBGwzx\nrlciMFJv2NStDbhbfePd4NR8FCKBVl8nKx2gsWCn99+X9/XAKrvbZN/e8w+t8vl59vhqg3M+BBBA\nAAEEEEAAAQQQCIXAv6tTyv+nzvbFbLZ5No4EHPDjgG1sQmA5Aq8v5+BVONYCInfWOc8Tdba3YrMF\niqZ9Ga/6cLG4rwC8RQABBBBAYCUFmpnrzP1Lhf+89kUZ1IW83v7+43mPAAIIIIDAcgT+c8DBY9o2\nEbB9KZv+TAf5z9Gnbda7ZikTpdocNndr2a2lS8tZLY9peVPLYtMNOuC3tWzTYvU9rOVRLYe0VLQs\ntoz2fX69FrsRt3l4LJ3X8oyWc/ZmkcnK90kt/6fnOCvTl7TYHD9HtPyDlqoW8yhqqZcS+mBYy0zA\nDtZbpF46We+D2e0rXWf3dN62sW2ntFjbPK7F2saffu3f0Ibvn1aZ7N+WXf/eNKA3GS0L/Zuzni+f\n0/KbWq7V4gZWLDj1TS1PailpqZcsLhJ0jdi1Y5/FPAcGXSfux8sth5sPawQQQAABBFZcwLqA2w+j\nZpagkzc6rpnAT1CebEMAAQQQQKAZAbspDPoeGmzm4Cb3sZv/oHMcqHP8i7793aFWFpgZ8n3mzdeC\nPY0CDfp4Lnnn3/Dm4X3tnsuMmkk24ar3eP9rK58FHRZKndrhgBb3eCuHmwb1wt3uXe+ps927j712\nLfVyLlmAxb+f932j3yIrVee5wuiFGXnPH/T6fu3jv04GtG0lU73rtpFHM+e/VzsF1elAg4OtjYLm\ncwrKJ6iNLWsL7AXtX29bUD4rUQ4rCwkBBBBAAIGWCdiXlY2lr/cF95f6zL4U7S8TQcm2+38oDmmb\nHUNCAAEEEECglQJ3KPOg7y+7iVypZN9zQed4qs4J/DfeB7SflScoj6BtC5Xdn5c3qGPBmCHfuQb0\nvlGy3gQWfHHLYuW3735/PdzP7Ubbn8zIgg7+c9sxlo+lRjfo9jvCAgd2Xvc83vWgttvvlUbJH5AI\nKqd7/ErU2c3Lux7UG3+5LWBlPlbHeqZ2zICWlUx+D7dcyw3QmJ2bl3fttrO/Dv79h7SDBSvdZD72\nb8mblwXO/GlQG7z7LPT6gC+DlSqHL1veIoAAAggg0BqBel/kzZ7N+6PDfoiQEEAAAQQQaLVAvR4Q\nAyt4YgsM1LsZDDqN9/uw3nELbbcgTFCym1nvsfY+KHlveAeCdpjdZgEdb343+Pa173NvXu6+ts2b\n3O1Ba9u3Xju5+w94Mgs6X6NJmT2HzguARLwfeF6vVJ09WdZefl3/79bH1n5Ld//7ffu5xwy4O6zQ\nut7vuuUGaKx43oCeW35bB5n79613fm8+9trayZ/c/If0gXd/t7eMfe4u/mNXshz+vHmPAAIIIIBA\nSwT8Py7sy8/+OrlQsi9D94uy0V+sFsqHzxFAAAEEEFiMwFPa2f3+8a5XuhdnvaBL0M1mvX2trHbT\nbN+ZluwGtF6PEauL/cXfn7yBDsuvXrJzuB4DdXby7mP71tvPDvff3Nr+3qCJBYosmOPv0eQ/ztrF\nAhdu2dy1N9Bkr93t7tpMF0p2fnf/A3V2Xsk6e09hAQL33LZe6LdTUG+iAW+GK/C6lQGaete4/9+D\n/3owm3ppUB94DQ/U21Hb/ed3AzT1DmlVOeqdj+0IIIAAAgisiID9cPJ+Odpr+3G1UPIOkbIfBCQE\nEEAAAQRWQ8B/o+Z+h9mN+Eqmeufx35DaOYP2tV4T9VLQzaPVYzDggKe0za2jnadROqAPbd8BLUHJ\nGxyywE+j5P2ed89v66AU9Mce29cCKG6yIMygFgtUDGjxp+9rg/c89jqoR4X3uHs9x3jP5d2nFXX2\n/3ayNloo+YfbWP0GFjpokZ+3MkDjD0i5beX/9xC0n38ft1p2Dbr52LrR9e3/N7ZQgKZV5XDLzhoB\nBBBAAIGWCdgPC+8XpL22cdONkveYRvvxGQIIIIAAAisp4L9Rc7+/6t0ELvXcizmPf99mepYG9aiw\nuvgDDf68GwUt7DPLY0CLP1m+rpWtg3rreI/x7+8eu9G70+zrA1q7n7vrGwL2a7RpICCPwUYH6LOh\n2WMsuBOU/HVYqTr7g0kDQSf3bYvovWvjrps5zpdNw7etDND4gyluHfz/7g6ohO5n7tq/j1sJf55D\n7gcBa/+/g4UCNAeUh3t+d72sctQ7OKCsbEIAAQQQQGBZAr8dcPQ3Ara5m+wHz12zb/5HdyNrBBBA\nAAEEEKgJvNSEQ73vzx0LHDuuz4OCJHaYPfLYzn3e3vjS/+Z736P31hOk3lKvHF2+fOxtZ8C2VwK2\nNdp0RB+O+Xb4U723wEZQsnIPzH7wh0E7aFsr6mx1/YzvfEd874PeWpBgLaT/4qvk3+p90CPGbTf3\nse6+Q1bkbbuUY0UqQyYIIIAAAmtPYEhVth8P3sV+/ASl+7XR3S/oR1nQMWxDAAEEEEBgJQT8f0l3\nv49W+g/cizmPf9+F/rrvOvh7YlhdvuJ+OLu2924dvWs7R73ghS+L2lvvsct5/UBA5kFlXEp7eH9f\nuGW8I+B8tmlQi7uPvQ9K7ufLXXvrbK+9+T0VdOI62/zXyUCd/Za6uZU9aAZVKG+93df12tl+Hzbq\nsWQ9tf0eQ9pWL/n3bfbf2IqVw/46SUIAAQQQQGC1BD6rE73sO9l/0vt/49tmb/96dttLWrfyrx+z\np2GFAAIIIIDAnMAv9eqmuXfvvdill0fee7vsV73LzmHhDP4P7eLvjeHvofL/ah/7Pvanv9AGW/57\nLV/T0igFBXL+UQdkGh0U8Jn1urEb5ValHwRk/H9r280B2/90dpvVPyi1qs5f9p3sn3zvL9e3v7nI\nigX9PrSAzR9pset2tVK7lGO16st5EEAAAQQuIwH3ryHetf+vH/aXCPdzm0CQhAACCCCAwGoKfEUn\nc7+HvOuBFSyE3dx783Zf15tEf6l/3bc/yrt5u+ugngFBPUvc/d31vQ3qb9/l7n62XukgS1Cb1OtZ\n0aCYtY+8k/q6Zfb36PVOYFyvY0Or6mzXgFsuWwe1V706+q+TgXo7LnF7K3vQ+Ottda/378FffAsE\n+ieStuvV34NsyH+g573fbjHubjbLKsdSL2j35KwRQAABBBBYrMDHAw6wv3R40wHPm+c9rxd6aYGd\njVrq/ZBa6Hg+RwABBBBAwAR+WIfhY3W2L2Vzd52DvlFn+1I3l5s80G5k71xg3x/rc7uJDeo5snWB\nY9vp4/89oDD/q2/b38++f1jrku8z920r6mz36H3uCdbQ2oJdQfX+jwsYWEDErl2bN+lLs/vab027\nRh/T8u3Zba1erUg5CNC0upnIHwEEEEDAL2Bflv70F9rg/bHn/nCySd/sryfNJPtrWE7LWS1FLY3+\nyqePSQgggAACCNQVOFHnk9vrbF/K5no3999cSmYrdMzTymfTAnndpM9tQlb/H0Psu9ebbD/vd7v3\ns0v92npl2BBqb/oPeuOW1/7gY+W39IfvrgL/vxV1bvZ3T2CBQryxXnDwaw3qNKjPLDDjDuGz341u\nYEYva8nastVpUCdoh3K0up7kjwACCCBwmQocUL3sB4h3eWC2rtYDxt1ur5tJ9uXrHuNdN3Ms+yCA\nAAIIIBAk4B/u4H6/BO27lG1Bw2zsHP5hv27e/vL8sftBE2u37O76K00cY9/L7v711t5stgfsv5I3\nx1ZmfzmW0+HAO4TJzfeO2QqZrbttdlPgqhV1tgCDe253bW3fbPJfJwPNHtjkfkF1tnIupy3s1ENa\n3Pp61/ZZUPIPZ7J/T0HJf93Yeeolv10z/8ZaUY565WM7AggggAACLRGwL3Hvl6/72k42OPuZ/XWr\n2TSgHd08vGv/X/eazY/9EEAAAQQQsCfAeL9T3NcDK0Tj5udd21CNemkpN4+WV9AN/0C9k/i227GD\nWrxl9L4+oM/cFPTd3swNrnu8d71Rb+zc3uS/0bZyLDco4K2LvR6aPaG73f3jkbcc3tetqHNQe1l5\n/B7ecnhf+6+TAe+HK/C6FQGaoGCZ1fn+OuU9oO1uG9l6qM5+ttl/3TTa12+30PV7QPm3ohxWbhIC\nCCCAAAKrKjCos3m/1Oy1/eXKAjP2+oCWZpN/kj4332aPZz8EEEAAAQSCBIa00f1OcdeNgihBeQRt\nuyEgX8vf5rGolxZ78+jmExRE8Ac2ntLOg+4BAetObQuysG1uCjqP1anZwIKbj3uz7r85999oW97+\nerh5NLsOynNQB1vetiz0h55W1dnf1lYWu2aaSf5jB5o5aBH7rHSApp5hvT/UBe3fyMbfxkMN6uq3\naxSgaWU5GhSRjxBAAAEEEGiNQL2givujqF4X73qlOaAP3GNtbX/5JCGAAAIIILAcgQEd7P1ucV83\nCqQ0c76hgHy/usCBi7l59GZlf/xwy23roPNY3vVuiL15BZXb+7kFerznsteNbnK9x9prCwS5x/sD\nO/4bbdvPbpKXkxr9FrGhK82kVtTZgoCug7u2Nmom+a8TC6isZFrpAI2/vG59/U/VcusQdP5Gv/n8\n182Qm1HA2l8WO7ZeamU56p2T7QgggAACCLRUwH4kul/E3rX92FlKsh9qiw3sLOU8HIMAAgggsHYE\ngr6rGt3kLSRzQDt4v/Pc1/6AhD8f/81js4EP/3FBwSV3HwuQNEr2uVteW/uDOtaTwfu5+/r+RpnO\nfma9Vdz9DwTs77/Rtn2XG6Cx0/iDIW5P3gH7sInUijpv1HldC++6USDCLap3f3vdjL17bDProMCE\nnWcpbeG3d8veaGjZAZ3L3c9dD2hbveS/buxar5fcfwduvo1+jx5QJu5+7nqgXsbavphyNMiGjxBA\nAAEEEGidgP11xP1S867txw4JAQQQQACBdhEYUkG831P2utGNXr1y282yPx97bzfkCyX/zaPd8C2U\n/DfTg3UOcPNeKOjjDaJYuYcC8guqn22zSVzrBaEs8OA9LiDbi25wbf+lBAX8efuNLF9/4Ml/jP+9\nt+ze18ups9sm3vzsdaM/RAUFixZqU39dFnof5GXlWkxbuMPY/HWz9wtd10GTV9f7t1jvd2a9OvrN\ng64Dy9Pq2spy1Csf2xFAAAEEEGi5gP11wv8FXe8HXMsLwwkQQAABBBCoI+C/ebPvriEtC81T4mY3\nqBf+7zt7bze8zST/+YOGKnnzsZtI7/msrPWSN+96Q0vsWH+A5kBAho1uvq08FjCwgIwtdpNr5fKW\nc0Dvg5K/B4Ids5igQFCe7ja314xbjkY9ONxjvOtW1NmCdm55/OugP2Q1KoPZDWixPJeb/EPm3LJ1\nLpCxXTv1ApRuHkH18mdbL0BkvyczWuw3pK3tOnPz9a/dnki2z71a3BTUo8dc3WTls7wGtbSyHMqe\nhAACCCCAwKUR8H/B1XtM4qUpHWdFAAEEEEDgPQH7jvLf7Nn7+9/b5aJXA9riDwDYMRYUsZvWZtOQ\ndvSfe1DbgnpUDPj2tWMbJW+Axs5hN7hByT/cK2gf2+bfz1/ueu8bOVod/Mct1NuiXvn82+283rwX\n0y5uXq2os79c3jLaazvnoJYhLf7Pgt4H9QjRoU0nu9aCrmU7l5XhXi32u86WAS0WzBnUYp8Flcfd\nZvVoNtjmDzy6edRbNwrU2DH2uZvqeVvgxgJA7jns+mhlOdzysEYAAQQQQOCSCLhfeLbeeElKwEkR\nQAABBBBoTsA/HMf7HWY3chY0sKXRDbvdyC42ZXRAvZtj227nDuoB0MwfPvwBGquTHWc32tYzYkCL\nfx/b3ih9XR96bRZ6PRCQmVkf0NLoWLtxtl4O5rPUFNGB7jms3EtNK1Fn/7nr9Vhxy+tdm0O9a8Da\ncinJfpdZj6KgfL3nXuxru2YtOBIUYNTmhqlRbyG3HHZduEEfd5t/PeQ7SzNBF28Ps1aVw1cs3iKA\nAAIIILC6Au4Xpn1Zr0SyHxODWuwHFwkBBBBAAIFWCNjNmd0Eut9hC63tO85udJf73WRBi2Zuli1A\n5L2Z1Nu6yW5UbbEbZls3qssBfd5sskBUo7zss0EtQSa2baFj/Z8H5aNsmkpu76ilBjLckyynzm4e\n/rUFw57S4q+v+94+c9varjPbbttu0LLcdEAZuOdZ6npIedg1a9eX/btZSlBGh81LA3oXVB4LJPrr\nbe/9+1pZgtKANvr3tffmGVTuevsvqRwRnYSEAAIIIIDApRSI6+TF2QI8qPU3llgY+9L8kpb/S0vf\nbB4xrSuzr1khgAACCCDQCgH7q/suLXYTeLWWzVrcdEYvXtDySy0T7sYVXGeU11Yt9h1oy7iWYS2L\nPZfVwft9ad/NVo9+LZavpaNaztVeLf7/LHhwnZZtWizYkNdiN7CHtXjPq7eXLNm98fVaDq5QCVpR\nZ7O7Vktay7QWa+93tJS0uMkCeNZWM+6Gy3xtzuZS0GLBKa+F3s4lu8Z7tdjnk1os6NIoDejDDVrM\nuBnPVpVDpychgAACCCCwegLevzTZD8LFJPvRaH+NHNIS9NcO+zImIYAAAggggAACCCCAAAIIIIAA\nAggsIGB/7bDginV9XUyyv3QFBWW82wjQLEaUfRFAAAEEEEAAAQQQQAABBBBAYE0K3KFauwGVpYz5\nti6tbhrSCzcvd02AxtVhjQACCCCAAAIIIIAAAggggAACCAQIeHvAWHBluemAMnADM+6aAM1yVTke\nAQQQQAABBBBAYFUE+OG6KsycBAEEEFizAjZHjA1dsoCJBWEGtdgkarbdJk100yfcF8tYe3vTLCMb\nDkUAAQQQQAABBBBAAAEEEEAAAQQuL4GnVB23N0u9tT3FYSXSV5SJ/xz8IWIlZMkDAQQQQAABBBBA\noOUC/HBtOTEnQAABBNa0gD3OcKH04YV24HMEEEAAAQQQQAABBC53AQI0l3sLUz8EEECgvQXuVPHy\n7V1ESocAAggggAACCCCAQOsF4q0/BWdAAAEEEFjDAhaAGa9T//3a/madz9iMAAIIIIAAAggggMCa\nEiBAs6aam8oigAACqy4woTPa05rsEdrXzJ79jNYHZ1+zQgABBBBAAAEEEEAAAQkQoOEyQAABBBBY\nDYGTOoktJAQQQAABBBBAAAEEEAgQYA6aABQ2IYAAAggggAACCCCAAAIIIIAAAqspQIBmNbU5FwII\nIIAAAggggAACCCCAAAIIIBAgQIAmAIVNCCCAAAIIIIAAAggggAACCCCAwGoKEKBZTW3OhQACCCCA\nAAIIIIAAAggggAACCAQIEKAJQGETAggggAACCCCAAAIIIIAAAgggsJoCBGhWU5tzIYAAAggggAAC\nCCCAAAIIIIAAAgECBGgCUNiEAAIIIHDZCPA9d9k0JRVBAAEEEEAAAQQQQAABBBBAAIEwCIyqkFXf\ncm8YCk4ZEUAAAQQQQAABBBBAAAEEEEAAgbAKRFTwdVru1xIUnHGDNX+pz7driWshIYAAAggggAAC\nCCCAAAIIIIAAAgisoIAFXdwgTDPrP17Bc5MVAggggAACCCCAAAIrKvD/Ax+tIFPIOMzNAAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 101,
     "metadata": {
      "image/png": {
       "width": 400
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image('graphics/Neg Binomial Dag.png', width=400)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " [-----------------100%-----------------] 200000 of 200000 complete in 51.3 sec"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model:\n",
    "    alpha = pm.Exponential('alpha', lam=.2)\n",
    "    mu = pm.Uniform('mu', lower=0, upper=100)\n",
    "    \n",
    "    y_pred = pm.NegativeBinomial('y_pred', mu=mu, alpha=alpha)\n",
    "    y_est = pm.NegativeBinomial('y_est', mu=mu, alpha=alpha, observed=messages['time_delay_seconds'].values)\n",
    "    \n",
    "    start = pm.find_MAP()\n",
    "    step = pm.Metropolis()\n",
    "    trace = pm.sample(200000, step, start=start, progressbar=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gzEvwcDNmu08OdfHadbKL9YdbOd7ey7aGTtYfbh1iEHq8St2x9kGXykj0erwc\nbO7mzSbnPOFeKjv7BnizqStuyQASwanOfl7cd5oT7dEl1AgldIYscKZjrc84AOjzhH+JDn237uwL\nNghOtPfRGuIednQY18eR6Or30trjoaG9N6rZnUj4BwV2nOjgSGsPrx5pG/GY4+29tPT00xXDwruh\ngxt9A14aAn6rQNfZcIMbzd39Z3XfjmaWZsORtkHDMJTAwZR4UXesPcjAipZtIf9/BEzk0dHrobGj\nj7YeD/VtPbzZ1MnLh1qCErJ09Q+w9fjws/bpTLRG1kLg1ZBtrwJJn1aymKz4kAqNq7c2srm+ndK8\nLO5fVjOsG0s69+HU0lweeEsNHfvr+MWWhhF9sFNJOvejH9MYHzJBYxy5D7hJVd8BdPn+vQ2IKpBA\nVRtUtc73dwewE5gSpuongNXAyUhtJeuZNNILmf//IX9MRCihL5L+2I+9TbG/OJ3RpLT2eNhUf+bl\n1+8OV9/ay6kuR8vxtmBNh5t7aO7uDzvrEkio25QQHLNypKVnMLbtjGF59rTFEBsWC1sb2tm+aX1M\nmQ4DCZchMF509Q3wRmMHm+uDDRi/MREpRiha/NkiAw2VxoBrNJbZ25HcMQMNxbVr1w6Jc4t0qsCk\nKF19A6w72BIUbxe4f7gZ5HgQrr/DueGOFMN3VgScJjSrYKTBGD+1tbV4vMGZUEdyLdx4tI0dJzqG\nGPihJDwpSgKJ1shqASaFbKsAMte8NJJKfWsvP9t8HIBPXls9JNFFpnHptBJumjsBgG+uOcS+OAft\nGoYxLBNV9SXf317fjNOzwM2xNiQiNcBinDTtgdunAn8LPOzblPIn/YBXae7uj7AOT+SYqOGC3jv6\nRmdYbK5vi8lVyuNVDrVEZ9htCDCcBl22fLT1eOKeLCHwZa+zb4ADp7uD+q6lu58dI8TCgZMwYltD\nx2ASlOEIHGo81NzN5vo2BrzK8fbewRfpkYy/9l4P+091R3QHaxzGMOiIMAMYy3ttR68nyAAKdRE7\n3eXhr/tbBpNi7Dhxpg9jSXoyHM3d/UGG4p5TXdQdO3OeHo83qti7DXEw1uNF34CXHQ0drNkffsYq\nkOPtsRni4VxG/ddCY0dfkCEcDarK2gPBM+OhiXCaOvtoDfN7h0sTP1aI1sj6DfBLEVkgIgUishD4\nOfDrxEkLj8VkxYdkalRVvv/yEfoHlOtnl3NFdemIx2RCH376g29n+axyuvu9fPpP+2P+TykZZEI/\nmsb4kAlf3QzMAAAgAElEQVQa48hREZnh+3sPjjF0DRDTm4aIFOHMVN3tm9EK5EHgfnWG4IUI7oLh\nnkmhL659cVqf56UDzdQda4+4/3gY97tDzd28dKB5SMKFwFibRAwSBb48e1Vp6uxjwKtDFpyNlleP\ntHKsrXdQd6x9GhrTEs35Dvr6zu+KuOVY+7AGy+GWHnY0OGsINXX2sbWhnQM+F6toYpv2n+6mtcfD\nG42d7GrsDLt2UY/HO2Rm67WjbRxq6R7iEuondNYjMHNcoMETiN/4jkb3xqPBs2ChbmXOrJCTFCMR\nz0lVHTIbMv+SJUFuc/4YtkjHD0fovRNPQt0yA/t73cGWYa+30RDqxgeOa56qsu9U7LPb5198RVT1\nwhl3I92bGTyRFXXii0/jrBWyAcgDeoBHgX9LkC5jDPHX/c1srm+nONfNR66Ymmo5cUNEuPfaapo6\n+9nW0MGn/7SP77x9DkUZGqBpGBnEt4ALgAPAF3AGAnOAf4q2ARHJ9h33C1V9MkyVS4D/9rkKTQBu\nEpF+Vf19YKXVq1ez68gJKqZMA6CgqJiTlyxm4tzFgOP+s50zL09+d6BElE919VO3cT2tPf2D+3//\n3IsjHr8duP3WGyjMcSdUX26Wiy0bXsGLDtm/fNbKmNqbt/L6hPfnYP9sgk+8Kzp9f3nppaDyH54f\nvv+3bHx5yP5st4u5iy4H4MU1L7H9RMfg/p/97jn6BgYitKej+r5Nnf3D7lcct7Dtx9piaj/b5WLu\nYuf7/Orp50f9e4SWs44VUzX/0hHrN3d7wu7fsUmYd8kVEY9P1P3b3TdA7bq1YfdfO+OmuJ9vpLLX\nCz/49TMxHb927Vr2nuqmZsHI/X/2ZWH5LKc//G7x/kHFWMq1tbU8/vjjAFRXV1NRUcGKFStIJDKS\nBR9UWcSF87BpUtWUzO+tWrVKb7/99lScOmpqa2vTflQ5WRo7ej384+qdNHd7uGdpFTedPyGq4zKp\nD9t7Pdzz1B4Ot/SwaEoRX7lhVtQLUiaaTOrHdMY0jp7NmzezYsWKhCSPEJFcIEdVI0/zBNcX4GfA\nKVW9J4r6P8FZwmRIdsFVq1bpjOtuDdo2vSw/ape4eDK+IBsRiSp73PZN64NGzavL8ijMcce0jlI8\nyXK5BpNtDEeo7mSxtKYs5nXAAkmV7tESqDvb7WJpTVlEd9VI5Ga54pZ9LxzLZpZzsLknKI4q0/s7\nFf+H5GW5Y0qacXlVKd39A2xr6Ehwf5/JkhpPEvlM8hP1m6CIlAKXAvOBZSLyFhF5SwzHPyoiJ0Rk\nW4T9y0SkVUS2+D6fjrZtI315dONxmrs9zJtUyA1zx6daTkIozs3iyzfMZFx+FnXHOvjJa8dTLckw\nxjQi8pCIXO4vq2pvtAaWj6uB9wPLA545N4nIx0TkY6PXN9oWzo723oGoDKxwHG7pSZmBBURlYKWS\nSGmxzyX6fTFCsZJIAwvgZGd/kIE1FkjFIM3ZZCUcKXnNuU5UM1ki8iHghziJLoKct1V1RrhjwrRx\nje/4x1R1QZj9y4B/UdVbhmvnhRde0IsvDs0mb6Qjb5zo5J6n3sQl8PA7z6cmQxYdPlt2NjrfVxW+\n9bY5LJwceX0ZwzjXiOeooYg8BPw9zvPol8Djqro7Hm3HygsvvKCtpTVB2yqKctIyRtMwDCNejC/I\nGcwgmmj865fFk3SayfoqcJuqTlLVGYGfaE+kqmuBkVKkpO+qrkZMeLzKg7WHUeDvF04a8wYWwAUV\nhbznokko8O2XDtGVxuu2GEYmo6p3A1XAHUA1sF5ENonIvalV5mAGlmEYY51kGViZTLRGlhtnQeJE\nosBVIvK6iDwtIheGq2TrZMWHRGv89dYTHGzuYUpJDu9bHPuiw5nah+9bXMns8fk0tPfxo1frU6Aq\nmEztx3TDNKYfqjqgqs+p6odx3NhP4yTESCqZ8EwKx2jXP0oVpju5mO7kYrrHFtEaWd8APuNLfJEo\nNgNVqnoR8H0gXLYnIwOob+3ll1saAPinq6vIzUqPJBDJINvt4lPXTSfbJTy961RcFsg0DGMoIlIk\nIh8Qkadx0rj3Ax+M4fgqEXlRRHaIyHYRGZKZUETe5xv42yoi63zLlxiGYRjGiEQbk3UUZzHifuBU\nwC5V1eqoT+Ys+vhUuJisMHUPAJeoalAamzvuuENbWlqornZOW1payoIFC84qnaOV419eu3YtP9pQ\nz4myuVw/u5yrso6mlb5klY8Vz+HHG4/hPbKNf7mmmpXXL0srfVa2cqLL4dLl3nvvvfGKyfo1sBJn\ncO5xYLWqnoyxjUqgUlXrfOtlbQJuVdWdAXWuBN5Q1VYRuRH4vKoGpdAKF5NlGIZhxI9MjcmK1sha\nFmmfqv416pMNY2SJyCSgUVXVlzXqf1S1JrSeJb5Ib17c18zXXjxISa6bH992AWX52amWlBIGvMq/\nPbuXumMdLKws4hsrZ+N2Wcihce4S58QX9wFPqOrheLTna/NJ4Puq+kKE/eXANlWdFrjdjCzDMIzE\nkqlGVlR+XKr610ifaE8kIk8ALwNzReSIiNweki73NmCbiNQBDwLvCddOJvi/Z0JsRCI09nq8/NdG\nJw7p9sumjMrAyvQ+dLuE+5fVMC4/i60NHTy2OTVp3TO9H9MF05heqOo34mxg1QCLgQ3DVPtH4OnQ\njZnwTApHpsZQmO7kYrqTi+keW2RFU0lE8oDP4hg+E1S1RET+BjhPVX8QTRuq+t4R9v8QJ028kaH8\ndkcjjR39zByXxw3njc01sWJhXEE2/7a8hvue2csTdSeYP6mIy6pKUi3LMIwAfK6Cq4G7VTXsIkAi\nshy4HWd9LcMwDMMYkWjdBR8GpgJfA55R1TIRmQo8p6phswAmCnMXTE+au/v58P+8QVe/l6/fNIuL\np5ox4efxLQ38dNNxinPdfOftc5h+DqSzN4xQkuGaESsikg38Aee59mCEOguB/wVuVNW9ofvvuOMO\n3XXkBBVTHC/CgqJiZsy9kPmXOKFb/hFeK1vZyla28tmVP/GulUD6xglHIlojqwGYraodItKsquW+\n7a2qWppIgaGYkZWefK/2CH/Y1cTlVSV8+YZZqZaTVnhV+dyf97PhSBvjC7L5ztvnMLkkN9WyDCOp\npJuRJSIC/Aw4par3RKhTDfwFeL+qhvWHsZgswzCMxDKmY7KAXkJcC0VkItAUd0UjkAn+75kQGxFP\njQebu3l6dxMugY9cPiUubY6lPnSJ8OkVM1hYWcSprn7ue2YvTZ3JWcRvLPVjKjGN6YeITBCRD4rI\nv/rKU0WkKoYmrgbeDywXkS2+z00hscKfBcqBh337Xw1tJBOeSeHI1BgK051cTHdyMd1ji2iNrF8D\nPxWRmQAiMhn4AfDfiRJmZA6PbjyGV+Ft508wV7gI5Ga5+MLfzGTuxAIa2vu47+m9tPZ4Ui3LMDIS\nEbkO2AX8A/AZ3+Y5wL9H24aq1qqqS1UXqepi3+cZVX1EVR/x1fm/qjo+YP/lcf8yhmEYxpgkWnfB\nXODrwEeAAqAb+E/gPlXtTajCEMxdML3Y2djJ3b9/k9wsF4+9+0LKz9GU7dHS1uPhk3/cw8HmHuZX\nFvL1m2aT4z53Fms2zl3inMK9Dvikqj7vd2H3JWg6rKoV8ThHtJi7oGEYRmIZ0+6Cqtrr81kvBiqB\nYlX952QbWEb68dgmJzX5rfMmmoEVBSV5WXztxtlMKMhme0MnD9UeIZqBDsMwgpiuqs+HbOsH3KkQ\nYxiGYRihRGVkichMn6vgDKAIqAnYllQywf89E2Ij4qFxW0MHm+rbKch28fcL4jt4PJb7cHxhNl/4\nm5nkZrl4bs9p/mdrY5yVnWEs92MyMY1px04RuTFk2wpgWzQHi0iViLwoIjtEZLuI/FOEet8TkT0i\n8rqILA5XJxOeSeHI1BgK051cTHdyMd1ji6jWyQKGpK31odjI4TmJqvLT15xZrHfOr6AkL9pLyQCY\nM6GA+66bzhdfOMCjG48xrTSXq2vKUi3LMDKFfwH+ICJPA3ki8iPgZuBvozy+H7hHVet862RtEpHn\nVHWnv4KIrMTJqjtHRK4AHgaWxPdrGIZhGGOVqGKyhhwkUgl8Hlirqr+Mt6jhsJis9GBzfRv3P7OP\n4lw3j717HoU5ZmufDU/UNfCT146Tl+XiwZvPY+Z4SxxijE3i7f/uW6vx/cB04DDwC1U9epZtPQl8\nX1VfCNj2H8CLqvorX3kXcJ2qngg81mKyDMMwEsuYjskKRVUbgH8GvhpfOUYmEDiLdduCCjOwRsF7\nLprEitnl9Hi8fO65/bR096dakmFkBKpar6rfUNU7VfXrozCwaoDFwIaQXVOBIwHlo8C0szmHYRiG\nce4xmrRmc3EyDSaVTPB/z4TYiNFoXLO/hV0nuyjLy+LWeRPjqOoMY70P/YgI9yytZu7EAk509PHF\nFw7QP+CNgzqHc6UfE41pTD0i8vMoPo/F2GYRsBq4W1U7wlUJKQ9x/ciEZ1I4MjWGwnQnF9OdXEz3\n2CKqQBoRWRuyqQCYB3wx2hOJyKPA24BGVV0Qoc73gJuALuBDqrol2vaN5NDr8fLjjfUAfPjSyeRn\n2yzWaMnJcvH5t87krid3s72hkx+8fJR/XlqFSEJnsQ0j09iHY+QMd2NE7f8uItnAb3DcDJ8MU6Ue\nCFzceJpvWxBr1qzhDy+uo2KKM8lVUFTMjLkXMv8SJ3zL//KRbmU/6aIn2vKB3W+klR7r7/Qs+0kX\nPdbfoysvn7USODOYuHTp0pjLtbW1PP744wBUV1dTUVHBihUrSCTRrpP1oZBNncDrqvpm1CcSuQbo\nAB4LZ2T5gozvUtWVviDjh1R1SJCxxWSllse3NPDTTceZOS6fH946F7fLDIF48ebJLv7lD2/SN6Dc\nsWQq75if1OV+DCOhJMP/PVrEGcH4GXDKtzxJuDqBz6QlwIORnkkWk2UYhpE4MjUmK6qZLFX96WhP\npKprfb7vkbgF56GHqm4QkTIRmRQaZGykjlOd/fz3687P8f+WTDUDK86cN7GAe6+dztdePMgjG+qZ\nVprHZVUlqZZlGGmJiKwA3gtMwZlh+lWYtbMicTVO0oytIuL3mHgAqAZQ1UdU9WkRWSkie3EGFj8c\n1y9gGIZhjGmiXSfrSyLyxTCfLwV8onYdjEBUQcaZ4P+eCbERZ6Px0deO0ePxcvX0UhZNKU6AqjOM\n1T4cieWzynnf4kq8Cl/5ywEON/eMqr1ztR/jjWlML0TkXuAJ4BTwR+A08EsR+WQ0x6tqraq6VHWR\nqi72fZ7xGVePBNS7S1Vnq+pFqro5XFuZ8EwKR6bGUJju5GK6k4vpHltEu7jRHOCdwEbgEE7K3MuA\n/wW6cXzkY88FP5QRg4yN1LCzsZPn9pwmyyV85IqpqZYzpvnAxZUcbulh7YEWPvPnffzg1rkU59o6\nZIYRwL3AW1R1u3+DL+nF88C3U6bKMAzDMHzE8ub2XlX9jb8gIu8E3qWq8XKhiCrIeO/evdx5551U\nV1cDUFpayoIFC84qCC6RZT/pomc05X6vl182OlkEF3kPsn9rB1PSSF+qyv5AykS0/6nrruJ4Wy+b\nX32Ff23cycOfuO2s2vNvS4f+Gq4cqDUd9GRiOZHXYxoGGStOIoxA9gPxS80ZJYsWLaI12SeNA/7A\n8kzDdCcX051cTPfYItrEF21AuaoOBGzLxgkajjpoxBeT9VQUiS+GDTK2xBfJ5SevHeOJuhNMK83l\n4XecT27WaDL/G9FS39rLHb/dRY/HywPLa1g2qzzVkgzjrIlnkLGIfARYBnwBx828Gvg0sAZ41F9P\nVSMaXSNlvBWRCcAvgEqcAclvh4tPtsQXhmEYiSVTE19E+7a8F7grZNsdvu1RISJPAC8Dc0XkiIjc\nLiIfE5GPAajq08B+X5DxI8Cd4drJBP/3TIiNiFbj3qYufvX6CQS495rqpBlYY6kPz5appbl81Oea\n+f2Xj9DU2RdzG9aP8cE0ph2P4CS92IWTlGIn8D7gR4DH9xlpZe+fADcOs/8uYIuqLsIx6FaJyBDv\nj0x4JoUjU2MoTHdyMd3JxXSPLaJ1F/xH4EkR+VccF76pOA+xd0Z7IlV9bxR1Qg05I4V4vMqqtYfx\nKtw6byLzKotSLemc423nj2f94VZePdLGd9Ye5is3zLL1swwDZo62gSgy3h4HFvr+LsHx3PCM9ryG\nYRjGuUFU7oIAIpIDLMFJl3sceFlVRxopjDvmLpg8/G6Ck4py+NHfnW8LD6eIU139fOw3O2nrHeDO\nK6dx67yJqZZkGDGTTutk+RnBhd0F/AU4DyjGiUF+JrSeuQsahmEklrHuLghnMv2pqq4BckXEpjbG\nKGv2N/NE3QlcAvdeW20GVgoZX5DN3UudRC8/2lDPzsbOFCsyjNTiW0fxsyLyWxF5LuDz5zie5gGg\nTlWnAIuAH4pIYteuMAzDMMYMUbkLisgC4PdAL07Wv18B1wEfBN6dMHVhqKurI91nsgKzuaUrw2l8\ns6mLb685BMBHr5ia8DWxwpHpfRhvrplRxq3zJvLkjpN86YUD/PutcynLzx7xOOvH+GAa045f4wwS\n/hYIXEwunst+XAV8BUBV94nIAWAu8FpgpYceeoh2bxYVU5xlHQuKipkx98LBbFv+WIV0K/u3pYue\naMtPPf5oRvSv9bf199mUrb/Dl5fPWgmkdcbbsESbXXAd8IiqPiYizapaLiKFwB7fKF/SWLVqld5+\n++3JPGXMZMLLTiSNp7r6+cSTu2nq6ufG88ZzzzVVKYkByuQ+TBT9A14+9ce9vNHYycVTi/nKDbNw\nu4b/bawf44NpHD1xzi7YClSoau8o26khsrvgd4BWVf2CiEwCNgELVfV0YL1Vq1bpjOtuHY2MlLB9\n0/qMTLtsupOL6U4upjs8meouGK2R1QyMU1UNMLIEOK2qSc0rbTFZiaO918P9z+xlT1M38ycV8o2V\ns8l2W7r2dOJkZx93/nY3rT0e3r2wgtsvm2KJMIyMIM5G1jPA/ar6+ijaeALHI2MCcAL4HJANoKqP\n+FK4/wQnPbwL+JqqPh7ajsVkGYZhJJZMNbKizS54CLgU2Biw7TJgT9wVGSmhtccxsPad6mZycQ6f\nuX6GGVhpyMTCHB5YXsO/PbuXX21tpMfj5f8tmTbijJZhjDE+BDwjIq/gGEj+G0BV9YvRNDBSxltV\nbQJuHo1IwzAM49wl2rfoTwN/EJEvAjki8gCwGvhMwpRFIBPWJMmE9WoCNTZ39/Ovf9zDvlPdTC3J\n5dtvn0N5FPE+iSTT+jCZLJ5azL8tryHbJfzujSa+9MIBej3h11y1fowPpjHt+CrOUiKTgDnAbN9n\nTrKFZMIzKRyZuq6N6U4upju5mO6xRVQzWar6BxG5EfgosAbHfeIdqropkeKMxNPS3c+//nEvh1p6\nqCrN5Zsr5zC+MLUGljEy180spzw/m88/t5+XD7Vy39N7+fxbZ0SVDMMwxgDvAuaq6rFUCzEMwzCM\ncIwYk+Vb4X43cOFog4zjgcVkxY+uvgE+9fQe9jR1M708j2/eNJvyAntJzyQONXfz//1pH40d/Uwu\nzuFLN8yiuiwv1bIMYwhxjsnaCqxQ1ZOjaONR4G1AY7jEF746y4Dv4sRqNanqstA6FpNlGIaRWDI1\nJmtEd0HfCvdeID+RQozk0ufx8vnn97OnqZspJTl8wwysjGR6eT4P3TKX8yYUcLy9j3/+/ZtsOdae\nalmGkWgeA34nIu8VkbcEfmJo4yfAjZF2ikgZ8EPgZlWdD9w2OsmGYRjGuUS0MVnfBX4lIstEZJaI\nzPR/oj2RiNwoIrtEZI+I3Bdm/zIRaRWRLb7Pp8O1kwn+7+keGzHgVT7+g9XUHetgXH4WX7txNuPS\nzMBK9z6E9NE4viCbb71tNldPL6Wjb4AHntnLc3tOAemjcThMY3zIBI1x5C5gMk5s1n+FfKJCVdcC\nzcNU+QfgN6p61Fe/KVylTHgmhSNTYyhMd3Ix3cnFdI8tho3JEpFKVW0AfuDb9NaQKgq4RzqJiLh9\nbVwP1AMbReT3qrozpOoaVb0lKuXGWfPIhnq2nehkyjg3X71xNpNLclMtyRgl+dluPnP9DH786jFW\nb2vkW2sO09ztYXIUSzQYRqahqjVJOM0cIFtEXgSKgYdU9edJOK9hGIYxBhg2JktE2lS1JKD8W1V9\nR8wnEbkS+Jyq3ugr3w+gql8PqLMMuFdVh02ZazFZo+OZ3af47trDZLmEb66czfzKolRLMuLMb7c3\n8vD6egDeOX8iH71iKi5bS8tIMcnwf4+VERYj/gFwMbACKABeAd6mqkFLl1hMlmEYRmLJ1JiskbIL\nhp582VmeZypwJKB8FLgipI4CV4nI6zizXZ9U1TfO8nxGGHY0dPD9dc7P8E9XV5mBNUZ5x/wKyvKz\n+daaQ/zv9pM0d3u499pqcmzdM2OMICKlwOdxFhMezxnXd1XV6jid5ghOsotuoFtEXgIuImR9yNWr\nV7PryAkqpkwDoKComBlzL2T+JUuAM240Vrayla1s5bMrL5+1EjjjFr906dKYy7W1tTz+uLOefHV1\nNRUVFaxYsYJEMtJMVruqFgeUm1W1POaTiPwdcKOqfsRXfj9whap+IqBOMTCgql0ichOOa8Z5oW2t\nWrVKb7/99lglJJXa2trBHzhdaOzo464nd9PS4+HWeRNZOHAw7TQGko59GEq6a9xc38Y9//Fbcqcv\nZEFlEZ+7fgYledGuP5480r0fwTTGgzhnF/wFUIUTL/xz4APAp3BiqL4TQzs1RJ7JOh/Hzf0GIBfY\nALw7dPBv1apVOuO6W8/ui6SQ7ZvWD77IZBKmO7mY7uRiusMzVmey3AHZmgTICs3epKp/ieI89TgP\nRD9VOLNZge20B/z9jIj8u4iMU9XTgfXWrFnDa6+9RnW1M1hZWlrKggULzsqqTVR527ZtaaWn1+Pl\nN80VtPR4mNSym/n9HeCStNEXruwnXfRkYvniqSVcX9pC7dHtbGM+9zz1JreUnmB8QXZa6POX0+1+\nCVf2ky56MqGc4FHDG4ALVLVJRLyq+qSIbASeAqIyskTkCZyZsAkicgT4HE6qdlT1EVXdJSLPAltx\nMuz+p3lXGIZhJBd3Boc7jDSTdRDHjW9wU0gZVZ0x4knOrLW1AjgGvAq8NzDxhYhMwlmvREXkcuB/\nwgU3W0xWbAx4lS8+f4BXDrcypSSH790yNy1nM4zE0djRx6f/tI+DzT2U5WXx5Rtmcd7EglTLMs4x\n4jyT1QRMVtV+ETkKzAfagNZA74tkMFxMVnl+Ns3d/cmUYxiGMaZwi3DtzJid6EYk5etkqWqNqs4I\n+ISWRzSwfO14cFLu/gl4A/iVqu4UkY+JyMd81W4DtolIHfAg8J6z/1qGn//aeIxXDrdSlOPmS38z\nywysc5CKohy+e/N5LJ5STEuPh0/+cQ+vHmlNtSzDGA1bgWt9f9firGf1HziDeWnBFVWlLJqSVHuP\n8Wm2FIdhGMa5TNIi4VX1GVWdq6qzVfVrvm2PqOojvr9/qKrzVXWRql6lqmGT7mfCmiTpsl7NH3c1\nsXpbI26Bz14/g6qyvMF96aIxEumuDzJLY2GOmy/fMJPrZ5fT4/Hy2T/v5+ldYZf9STqZ1I/pTCZo\njCMfAQ76/r4b6AFKgQ8mW0i4Z1JxbhYFOc7qJlNL84bsj4ZsV+yP5+Lc6AfRIq1rU5gz4qosEcnL\nOvtjoyVe6/GU5yfXIE2XdYSml+XHVD8ZumO5bqMlXfo7Vkz32MLSjY1RnttzajCT4N1Lq5M+omqk\nH9luF5+6bjrvXTQJr8KDtUf40YZ6Bry2lpaRWajqPlXd5/v7hKr+o6oOSUoxHCLyqIicEJFtI9S7\nTEQ8IvLO0eoOpKIwJ/AsQ/YvnJya7K8VRTlcM+PsXHOKc90xv8SngtwsFzXlZ2f8hiMeMSPJekan\nY5LZCysKUy3BSGPystPwoo2SjFO+aNGiVEsYkVRn+Hpyx0m+teYwXoUPXFzJjXPHD6mTao0jke76\nIDM1iggfvnQKdy+twi2welsjDzy7j7YeT4oUZmY/piOZoHG0iMilIrIgoFwhIo+LyFYReUREYrFM\nfgLcOML53MA3gGcJZwkR/EyaM6EAEM6bEBDzGDKGsbCymEVTijk/4MXyiqqSoJmVSUXxWSB+1rjI\nsZfDZQLLcgnZI7yNl4WZCRKgvCAxLunnTShk+axx3H7rDcybFP5nriyOrt8mFORQGqXrfH62m5ry\n4Q3HWeOH9vPyWeOYFjCLGa6//RrystyURaln9viCURlkE4KM+5G5ftl1MZ+jZISZqfEF2cyZUMDU\n0jyunF5GQY6ba0MM+8C1HQNnuvKzh86WTg7zuycq012011i0LJpczCVTB5ejzajMgoEZ/0bSPTHg\nursgSqM62+1iUlEuCzJ4uaGMM7KMyKgqv9zSwL+/4iRu/OjlU/jAxZNTrMpIR952/gS+sXIOpXlZ\nbDnWzl2/282bJ7tSLcswRuJBoDKg/J/AHOBHOMkvvhVtQ6q6FmgeodongNXAyWjanFqSy7KZZUGx\nr/kho7D52S7K87Nxu4TZ450XzYIcd9DMSiRDZUl16bDrGwbOqFxeVUp+ztBH/JLq0iHbKopy8NuQ\ngy/IIcZhqNG1KMJMW3l+dtyMxED8/ViY46aiKCfoRW3R5GKunVHOeRMKmF9ZxLUzyn0Gb3hqxuUh\nIlxdU8b5E4e+8C2sPGPETCzMZmpJ8PcpyHazcLJT5/yKQrLdwfa338jOcgVvrwgxcBZPcXRfOb0U\nERlx0fia8nyqyvIoz88OMhKz3S4Kc9xD1kKcMe6McXjtjHKurimL6A4abgZy1rgCLqgoHGIADTfT\nWVOezyXTSoK+q3N9OeRluZlfWcS00jzOm1BAXpaj2e2SIGM20NAvzj2jOfC3uHZGOctmlgcNWATq\nmFaah9sV2yzj5VWlXDW9jLK88O6kF1QURjTyp5XmhTX4hiM/x53wWPnxBdlBuiYU5rCkupSFlcVD\n3FQ6wW0AACAASURBVJIT4boJwUZzZXEuy2eNY0FlEZdXlUY0ysvzsrhwUmFYwzpTyDgjy2KywtPe\n6+FrLx7kZ5uOI8A9S6u4beGkiPXTPX4j3fVB5mtcOLmIH946l/MmFNDQ3scnfrebB2sP05LkbGiZ\n3o/pQiZojAMXAGsBRKQcWAm8X1V/gJMs6eZ4nUhEpgJ/Czzs2xTWr7auro5rZ5Rz7YxyRAQJeVGe\nWppLTXk+8yYVsWhK8WCsFkBVWd7gC3lZfvagEVVZlBP2ZHlZrqAR4SXVpUEGzdTSXMrzszm/opDC\nHDcTwiTC8L/4B8ZQTCzM4arppVw0uZhxYY6pLstjZsALe015PiIStA3OzJJcOKlwxJmw4bhyellQ\nfFd5fvagLv91LgETi+UFjtHqdgkTC3Nwu2RIzFVgfb8xkuN2MTngpX16WT6XTC1hfOGZYwtz3EOM\nKLdLGF+QzfJZ48K+VOf4DIdAIytczIqIBBkBV9eUDZu8JNBomj2+AJcIcyYUsLSmjMurSrna9++Z\n7+NcX1dUleJ2SdgF6S+dVuIYPWXB36OiKIfq8jxqa2uDNFYW5w4xHv2ML8ihumyoG+Z5Ewo4b0IB\nJblZXF5VEtGYDPx+EwtzuLK6lKunlw0aYhBscLldQ+83P/VvbGLOhAIujmHWb3xBNoU57ojupP6Z\n4XD3CDgz2YEG33AxiudPLGTGuPyg7wbxj23Ky3IGBAJ1VZXmkp/tZnxhNlfVnLleKotzmRtl5mH/\n7Jt/Rnv7pvVhByyGY0JhDoU5bi6e6szmXT29jGtmlLOwspiKwpxhB0oyBUs1NwaoO9bON9ccoqmz\nn7wsF5+8rnrIyJNhhKOiKIdVb5/DT187xpM7TvL0rlO8tL+F9yyaxA3njY/apcYwkoQb6PX9fQXQ\noKq7AVT1iIiUxfFcDwL3+5YVESK4CwLDjpa7RIJeHocjP9sddtR2Skkuqgy+UPpnBvKz3cyekI+q\nMrU0F7dLglzJIr2A+inLz2b2+PzB0evcrPCG0cTCHIpy3XT2DTC+4IzBU1mcy/7T3VQW5zK1JDd4\nRD5CqOd5Ewo43NJLj2cg7P5Fk4vJy3KxpLqEvgGNqGkkQmdsRGCYFWsAmF5+ZubjiqpSWns8TCrK\ncYxnBI30pSIwpSSXlh4PTZ19uEQGjS9wZrFCyXIJcycW8vKhFsCZUdva4Cwh6p8581OSl8V1YdJa\nBxqEIjJi4pXi3Cz8duLVNWWsO9gStl6Wy4XH66UsP/wzwS0SFEcYeO1lu11MLc2LLQmMMGg4TyvN\no6Xbw6TiHMrys1k0OXiwAhzXy9Ywbu+Bv9jyWePYd6qLhvY++ga8gBMLt6epi/MnFg47o3T+xMJB\ngzzLJRTnZtHe65zviqpSwt1ql04rpjZCf04uiW3Ga8a4fFwI+07H5nFyedUZV8Ql1aV09g0EufoG\nGrzD/W/hEsHru4EC3QQXVBbx2tE2asrzmVySS31b72C/VBTl0NjR57Q9TOMiEtT34wuzgwY6MpmM\ne4OymKwzdPcP8NPXjvPkjpMocEFFAfctq2FKFDdvusdvpLs+GDsac7NcfGzJNG6aO4GH1x9lU307\nP371GD997ThXTi/lhvPGccnUkpjdLuKpMdWYxrThDeBdwK9wZq6e9+/wzTyFf6M5Oy4B/tv3sjgB\nuElE+lX194GV9u7dy5133kl1dTUApaWlLFiwYNQLOi+41Ilx2L5pPdlTSiLWf/WVlwGYF2F/w87N\nNHX1DcZMrFtXy56T3cy/ZAkTCrJ5feP6sOdn6vwz5z/unH/OhIKg9nOzXGQd28EpES4Y5ng4E7Nx\nYNtrHGvrZeLcxUH777jtJvoHvGza8EpA+zLk+/jPMeeiy4foC/f9/e1fdOmVLJ5SzPqX11F7PCuo\n/vZjbYP6Ao8vyHGfmTmbMg9Vp72CbDeXTrthsH5zdz9FMy8aPJ+3oogVy67F7RJa99aRpcodt93I\ngdPdg3qWz1oZVu/G9S/j9irXXLPUmemq30G/Vxk/69qw9UPL69bVsr2hI+z3Cf2+eVnuoP05bhf1\nOzbR3NPP+29+a1B/X77kKlp7POzesoF9IjD5wqD+fcu1wfouueJKWns8nNi1mdrj2VFf/zs3v8qA\nepm38vqo6vvLS666mrUHmtm+aT3ledm8/xZH/ysvr2P3yc7B/ji+czP9Xi9Mnc/4gmx2bNoAQElV\ncHuXLrlq8PtVFuUyedaKoP1lsxfR3hv++gu8nkKv/+2b1pOX5Wb5rBuC2vP3p7/O/EuW4BJh62vO\n/bD8XStp6uwL295w5VdeXjfYX/nZ7qD7K5zeLRteYXtD+5D2/uFtb+X/Z+/Mw+Qqq/z/Ob3vS5bO\n3llJWBKSECABwmZQA46g4qiMuOEoo6PyQ1wYHXHBGWGUUdHBQVHHDVFBERRkEwIdSEJCAknIQrZO\np7N0kt73Ws7vj3urU11d1V3dXcut5Hyep56q973vvfdbt+5b9577nnPe1xs6eGPTWnIPFfetv8bd\n/tvffDkAbbs3cbTDxzVvuZz8nCz+vuoxACa6sX1D9ddklmtqarj//vsBqK6upqqqihUrVpBMBp2M\n2IvYZMQO6+pauHt1HQ3tPrIE3r94Iv+0aGLSboSNUwNVZV1dK4+8fowN9a2EEg+OL87lrXPHsnLe\n2H7+9YYRL4mY+FFElgN/wXlAHQCWq+p2d9lngaWq+t5hbG8G8KiqLhii3c/ddn+MXJasa1Jzl4+N\nB51RjPAnxyMhEFRePtCKL6Asn1GOL6i0dPsZV5Qbc7SrZm+zczM6wv2Hrx9ibFEeZ08qYc/xLmqb\nu/otG+4+uv1BXqptJj8niwunRx/AfHZ3Y9/nwSY0DbW7ZGZlzGvoqj1NfU/yy/JzWDL1xAhBa7ef\nDfWtgBPTEyvuqdcfZEN9G1PK86O61SUCVeW5PU3kZGVx8czBj0tpfg7nhn2PPp2BYFTXwmjbCFFV\nnMdZCUhQ0OsP0tYTGNFIRiCoHO/0MdZ1H4X+v034ORYI6pD3S+09fnKzs6KOpjZ2+nj1UFvU7x06\nNhfPrOSFvSfCPueMLaKyMIfivOwB/a6p08e2ox1MKs1nX5PTN7KzpC/77+Wzx3Cso5fNh9v7rRc+\nWhTinCllvBLlO8cipLe6ooDZY4sG/LYACyeVUlmYM+ToeKxtTyzN53BbT9yaUkHaJyP2Iqd6TNbR\njl7+45m9/PsTe2ho9zFnbCE/vGYeHzhn0rAMLK/Hb3hdH5ycGkWEpdXl/MfK2fz6fWfxkXMnMbks\nj6MdPn698TAfeGArX3liN+sPtPbdcKRaYzowjd5AVWuAauDNwMyQgeXyV+DmeLclIr8FXgTmiUid\niNwgIjeKyI3D0ZQJ16TsLGHptDIumuEkWMjLzmLHxnXDvmEaLaHdleT3N0KGY3CEzvMC17haOm1g\nIo9kEB4fEplooawgh9PHF7NkSllMA6umpoa8nCwumF6eNAMLnP9wJ8nF0MclMh4oRLiBler/lbyc\nrBG7imVnCVUlTkxeSHes+6J47pdK8nNiuquOKcrlwukVnDkhvjikLBGmVRRQkh/dUKl0t7dz07q4\ntresupxl1eUD0t8X5mbH/F1jcfbEUsYX5zHdTTwSy715sP+Loc6T4Wo6Wcg4d8FTld5AkD9uaeA3\nG4/Q4w+Sn5PFh86ZyDvnV9nolZEUxhXncd2iibx34QRePdTO49uPsXpfC2vrWllb18rU8nzeOncs\nS6vLmF5RkPIbNuPURFVbgfVR6ncMczvXDaPtR4az7URQlOCMWk5ckTeoKskjECymvCCHvJysmIkU\nhmI48VqVgySUCDHYX9jksnyqSvJiah1ujE0yGeqeYMmUMupaujktSur5eCnIye4XVzeaRCfJpDgv\nm6nlBRQlYa6leM6//JwsevzBAVlGY1Gcl83E8gKK87PZfbyLQIw4wFgZ90YSRx0ZAzWjspAJJXms\n3d/aF4c40v+OxZNLaez0M6OygJZu/4hjLDMVcxf0OB29AZ7Z1cgftxzlYKsz1Lp8RjkfXzol4fM1\nGMZQNHf5eHzHcf6y7RhHO05kIawqyeXcqWUsmFjCWROK+4LFDSNEKlwz0kEyr0mdvQFysqNnhUs2\n+5u62d3YydTyghFl+dp0sI2mLh+Fudl0+Zyb8fHFeYOmoE804W5PF06viHmDF2p32axK+9+Kky5f\ngLrmHkoLsjne4WPe+CLPGlqpJtxdsNcfZF9TNzPHFAw7FXlrt58dRzs5bVwhFYW5NHX52BTFhTi0\nv4rCXBZMLCEQ1L7kKaNxzQt3kb10VuWQUwxkGqm4JtlIlgfxBYJsOdLBqj1N/H1XE91+x699Wnk+\nn7xgaj9fcMNIJRWFuVy3aCLvOXsCa+taWL2vhZfrWmlo9/HY9uM8tv04AOOKcpk/sZizJ5Vy9qQS\nppXn282LYQyTyAxqqaS6soBxxblxP4GP5MyqYupauplcls+a/S0JVhcfoYx4s8YUDvoEffmMCpSh\nszEaJyjMzWaum+57uHNDnUoU5WXH7VIYSVlBDueFZQesLMxlanlBzHmlppU76fVz3CkMEjlqdLIZ\nWKkiZY8dRGSliGwXkTdE5Isx2tztLn9VRBZHa5MJ/u8j8WE+1NrDX7Yd46tP7eHdv97MFx/bxWPb\nj9PtD7JwUglfftMM7r32jIQZWF6P3/C6Pji1NWZnCRdOr+Dzl07ngffP5wfXzOWG8yaxdFoZpfnZ\nHOv08dyeZu5eXcc/P7iN6+7fwree3cfjO45zsLWH8BH0U/k4JpJM0OglRORnInJERDbHWP5+91r0\nmoisFpGzo7XLhGtSNOI5X4qiBOjHS15OFrPHFjlp5scWkZ0Vfyr7wRjOeb50WhlnTyztizWJRW52\nVtJHCzO1f5ru1DKU7tPGFTGhtH/yqdAUDOGugosml/absDvZZOrxTjYpMbJEJBv4IbASOBO4TkTO\niGhzFTBHVU8DPs6JCSD7sWvXriSrHT2bN0e9ZvejvcdPzb5m7q6p40O/28qHfv86d6+u46XaFrp8\nQaZXFvCPC6q479oz+PbbTuPSWZUj9lsfqcZ04nV9YBpDZIkzt8v7Fk7k9rfO5g/XL+DH157Opy+c\nyqWzKqgszKGxy8+zu5v47gv7+fDvX+e6327hm8/s5U9bGnjshZc51NrTl0XJi9hvPXo8aIz8HOea\nFIs9wCWqejZwO/DjaI0y4ZoUjVSeL9MqCrhkZmXMpBDDYTi6R5NEIdF4vX/GwnSPnJHcsY1E95Ip\npVwyszLh7polbn+Np9964XgPl1Rck1LlLng+sEtV9wGIyAPANcC2sDZXA78AUNW1IlIhIhNU9Uj4\nhjo6OlKjeBS0tPR3jQiqcqi1h53HOnnjWBevH+lg+9EOwu8pS/KyWTyllHOmlHLe1LKkp8mO1Og1\nvK4PTGMsskSYUVnIjMpC3n7meFSVuuYeNh1qY2N9G5sPt9PY6ef5vc08v7eZ+o21rP/96+RkCWOL\nchlXnMu4olzGFOdSUZBDRaHzXpKfTUleNqX52ZQOkvUpGdhvPXpeffXVdEvoh6q+4KZwj7X8pbDi\nWmBqtHaZcE2KhtfPl1iY7tRiuofPkillBHXoFPHRGIluESE7Cd588yeWUNfczZTyod1BM/E8ScU1\nKVVG1hSgLqx8AFgaR5upwBFShKriCyq+gNIbCPa99/qVoCpBIBh0cq2ogqIEgk4AaJcvSKcvQEu3\nn/UHWrnzuX0c6/DR0N7L0Q4f/oin9NkC8yc6KV/PmVLK3HFFliXQOCkREaorC6iuLODqkNHV0sPW\nw+1sP9rJoy/mMa4ol2OdPo6093IkYs6PWORlC6X5zpwjhblZFOVmUZibfeI9zzHKSvIdw6zYrSvK\nzaIgJ5ucbOnzX88SxzgMf7f4DCOMjwKPpVuEYRjep2wEGf68SH5OFnNGkPTGOEGqzoR4/YAi72oG\nrHf48OFh7fjmR3fS0u1H1RlRCioE1DWags5nf9B5+QKJcVfas2MPrbua+tWNLcrltHGFzB1XxNzx\nRcyfUJLWoOb9+/enbd/x4HV9YBpHiohQXVFAdUUBV54Ob/y2nXv+aT7d/iDHO3o51uHjWKePxk4f\nLd1+mrv8tHT7aesJ0N4boL3H+dwbcCaePN7pG3qnI9EJjtGVJez6+yZenPjqACPMeYcshKwsEE7U\nCdIvJbRwwnCT8EoAxX14o/3+9MKTv4a2FdqOs48Tm1j3wmb2zQ1NG6Xug6CwP9HIvzd3/Y+eN5ml\n1amZaygTEZHLgRuAi6ItH+41ySt48b8hHkx3ajHdqcV0n1ykysiqB6aFlafhjFQN1maqW9eP2bNn\nc9NNN/WVFy5cyKJFi2Lu+ANTRqB2lGzKeguLFkXe0fS6rxY4CtuPpl5XOOeeey6vvPJKekUMgtf1\ngWlMFNE0VrovcoBS95U2lE36FhadHRi6aRpZeu0KFs3oHP6Kx3bzyrHE69m0aVM/d4zi4tQFYScK\nN9nFT4CVqtoUrc1wr0leIRP+G6JhulOL6U4tpjt5pOOalJJ5skQkB9gBrAAOAuuA61R1W1ibq4BP\nqepVIrIM+J6qLku6OMMwDOOUxI3JelRVF0RZVg38HbheVdekWJphGIaR4aRkJEtV/SLyKeAJIBv4\nqapuE5Eb3eX3qupjInKViOwCOoCPpEKbYRiGceohIr8FLgXGiUgd8FUgF5xrEnAbzoDqj1w3T5+q\nnp8muYZhGEaGkZKRLMMwDMMwDMMwjFOF1OVAHgaJmiQynRrD2p0nIn4ReVeqtLn7HVKfiFwmIhtF\nZIuIPJdCeaH9D/U7jxORv4nIJlfjh1MsERGZJiLPishWV8NnYrQbciLtdGpMd5+J9zi6bVPeZ4bx\nO6etz8T5O6e1z4hIgYisdff/uoh8K0a7tPWXRCEiK0Vku/s9vpgmDVHPCREZIyJPichOEXlSRCrC\n1vk3V/N2EXlLWP0SEdnsLvt+WH2+iPzOrV8jItMTpD3b7UuPZopmd9sVIvKgiGxzz/GlXtfuatjq\n7u9+dx+e0yxR7glSpVNEPuTuY6eIfDABur/tniOvisgfRaQ8bJlndYctu0VEgiIyJlN0i8in3WO+\nRUTu9IRuVfXcC7gYWAxsjrH8AqDc/bwSWOM1jW6bbByf/r8A13pJH1ABbAWmuuVxXjuGwNeAb4X0\nAceBnBRrnAgscj+X4MQWnhHR5irgMffz0lSfj3FqTGufiUejuywtfSbOY5jWPhOnRi/0mSL3PQdY\nAyyPWJ7W/pKg75gN7AJm4LgYbop2PqfrnAD+C/iCW/9F4A7385mu1lxX+y5OeLSsA853Pz+Gk+wD\n4JPAPe7n9wIPJEj7Z4HfAI+4Zc9rdrf3C+CGsHO83Mva3f3uAfLd8u+AD3lRM1HuCVKhExgD7Mb5\nj68IfR6l7jcDWe7nOzJFt1s/DfgbsBcYkwm6gcuBp4BctzzeC7o9OZKlqi8AUTM5uctfUtXQzGcx\nJ4lMJkNpdPk08CCQ8lyCcej7J+AhVT3gtk9CfrHBiUPjIaDM/VwGHFdVf9KFhaGqh1V1k/u5HWcC\n7ckRzfpNpA1UiMgEL2lMd5+J8zhCmvpMnPrS2mfi1OiFPhNKcZiHY4w0RjRJa39JEOcDu1R1n6r6\ngAeAa1ItIsY5MYWwY+y+v8P9fA3wW1X1qeo+nBuOpSIyCShV1XVuu1+GrRO+rYdwEliNChGZimNs\n38eJWQg8rdnVXQ5crKo/Ayfe3P1f9bL2VsAHFImThKwIJwGZ5zTHuCdIhc63Ak+qarOqNuPcrK8c\njW5VfUpVg24x/Jrrad0u/w18IaLO67o/gfOA0ee2Cd1DpFW3J42sYeLJSSJFZArOj/sjt8prwW+n\nAWPEcTVZLyIfSLegKPwEOEtEDgKvAjcN0T6piJOJbDHOH2Y4sSbSTjmDaAwnrX0mlkav9JlBjqFn\n+swgGtPeZ0QkS0Q24Uwk/6yqvh7RxDP9ZRRE+w5pmDDkBBHnxARVPeIuOgKEjNjJ9J8+JaQ7sr6e\nE9+n77u6BntLuAvRCPku8HkgGFbndc0AM4GjIvJzEXlFRH4iIsVe1q6qjcBdwH4c46pZVZ/ysuYI\nkq1z7CDbShQ3cOKa62ndInINcEBVX4tY5GndONfnS1z3vudE5Fwv6M5oI0tOTBKZFn/4IfgecKs6\nY4zhc4Z6hVzgHJyniW8FviIip6VX0gC+BGxS1cnAIuB/RCQtMyaJSAnOCMtN7hPjAU0iyik3EOLQ\nmPY+M4TGtPeZIfR5os8MoTHtfUZVg6q6CMdwukRELovSLO39ZZR4Sq97TjyEc060hS9z+5Nn9IrI\nPwANqrqRGH3ca5rDyMH5D7hHVc/ByYR8a3gDr2kXkdnA/8NxlZoMlIjI9eFtvKY5FpmiMxwR+TLQ\nq6r3p1vLUIhIEc415Kvh1WmSM1xygEp1pn76PPD7NOsBMtjIkhOTRF6tMSaJTDNLgAdEZC9wLXCP\niFydZk3h1OEMe3ap6nHgeWBhmjVFciHwBwBV3Y3jHzwv1SJEJBfnBubXqvpwlCZxTaSdTOLQmPY+\nE4fGtPaZOPSlvc/EodETfcbdfwvwV+DciEVp7y8JIPI7TKP/E86UEXZO/CrsnDgiIhPd5ZOABrc+\n2rE/4NZPjVIfWqfa3VYOTmxnpAvocLgQuNrt578F3iQiv/K45hAHcJ7yv+yWH8Qxug57WPu5wIuq\nGnId/iNOjK6XNYeT7PPieJRtJaQ/i5N46Crg/WHVXtY9G8cYf9Xtn1OBDa47t5d1467/RwC3fwZF\nZFy6dWekkSXOJJF/xJkkcle69URDVWep6kxVnYnzR/wJVX0k3brC+DOwXJwMT0U4AeiRbj3pZjtw\nBYDbyefhBPCmDBER4KfA66r6vRjNHgE+6LZfhuOOcSRG24QTj8Z095l4NKazz8T5O6e1z8SpMa19\nRpzshhXu50Kc4O+NEc3S2l8SxHrgNBGZISJ5OMHRKf9/H+SceAQnuQHu+8Nh9e8TkTwRmYnjYrNO\nVQ8DreJkyhPgAzjne+S23g08MxrNqvolVZ3m9vP3AX9X1Q94WXOY9sNAnYjMdauuwEmG86iHtW8H\nlolIobuvK3D+t7ysOZxUnBdPAm8RJ3NkJc7/1hOjES0iK3FGVK5R1e6I7+NJ3aq6WVUnhF2HDwDn\nuP/PntXt8jDwJgC3f+apEzedXt06iqw1yXrhPN06CPTiPD2+AbgRuNFdfh9O1qyN7mud1zRGtP05\n8C6v6QM+h3OB2Ax8xmvHECc72qM4sSWbgX9Kg8blOHEDm8LOtyujHMsf4gRUvorzp+QpjenuM/Ee\nx7D2Ke0zw/id09Zn4vyd09pngAXAK67G14DPu/We6S8J/K5X4mTz2wX8W5o0RDsnVuJkwXoa2Ilz\nY1ARts6XXM3bgbeG1S9xz5ldwN1h9fk4rjdv4GSLnJFA/ZdyIrtgpmheCLzsnrt/xMku6GntOEkM\nQv9bv8BxffacZgbeE3wkVTrdfb3hvj40St03uNup5US/vMfDuntCxzti+R7c7IJe1+2e079ydWwA\nLvOCbpuM2DAMwzAMwzAMI4FkpLugYRiGYRiGYRiGVzEjyzAMwzAMwzAMI4GYkWUYhmEYhmEYhpFA\nzMgyDMMwDMMwDMNIIGZkGYZhGIZhGIZhJBAzsgzDMAzDMAzDMBKIGVmGYRiGYRiGYRgJxIwswzAM\nwzAMwzCMBGJGlmEYhmEYhmEYRgIxI8swDMMwDMMwDCOBmJFlGIZhGIZhGIaRQMzIMgzDMAzDMAzD\nSCBmZBmGYRiGYRiGYSQQM7IMwzAMwzAMwzASiBlZhpFkROQ5EblPRL4pIg0i0iQi3xCHr4vIYbf+\nm2Hr7BORL0ds5z4ReTb138AwDMM4WbBrkmGkBjOyDCM1vBvIBi4EPgv8O/A4kA8sBz4HfElE3uq2\nV/cVSbQ6wzAMwxgOdk0yjCSTk24BhnGKsEdV/839vEtEbgEmqerKsLrPAiuAJwbZjiRTpGEYhnFK\nYNckw0gyZmQZRvJR4NWIusPAoSh1VSlRZBiGYZyq2DXJMFKAuQsaRmrwRZQ1Sh2c6JNBBj4hzE20\nKMMwDOOUxK5JhpFkzMgyDG/SAEyJqFuM+b8bhmEYqceuSYYxTMzIMozkIwx8AhitLpyngfeKyJtF\nZJ6IfBeoTpZAwzAM45TBrkmGkQLMyDKM5BMtK1OsuhB3An8Ffgc8DzQBf0iWQMMwDOOUwa5JhpEC\nRDU1I70ishL4Hk7K0PtU9c6I5ZcBfwb2uFUPqeo3MQzDMIwkIiLTgF/iBPkr8GNVvVtEbgeuduuO\nAx9W1br0KTUMwzAyhZQYWSKSDewArgDqgZeB61R1W1iby4DPqurVSRdkGIZhGC4iMhGYqKqbRKQE\n2AC8Azigqm1um08DC1X1n9Mo1TAMw8gQUuUueD6wS1X3qaoPeAC4Jko7m2/BMAzDSCmqelhVN7mf\n24FtwOSQgeVSAhxLhz7DMAwj80iVkTUFCHexOMDALDUKXCgir4rIYyJyZoq0GYZhGAYAIjIDJ2va\nWrf8HyKyH/gQcEf6lBmGYRiZRKqMrHh8El8BpqnqQuAHwMPJlWQYhmEYJ3BdBR8EbnJHtFDVL6tq\nNfB/wHfTKM8wDMPIIHJStJ96YFpYeRrOaFYf4W4Zqvq4iNwjImNUtTG83dVXX63d3d1MnDgRgOLi\nYubMmcOiRYsA2LRpE0Bay7t27eLd7363Z/REK4fqvKIn0/SFa/OKnmjlBx980HP9I7Js/eXkPB83\nbdrEE088AcDEiRMpLi7mRz/6kWddwkUkF3gI+LWqPhylyf3AY5GVmXBNilYO1XlFz8n0nxatHKrz\nih473t4s2/FOXjkd16RUJb7IwUl8sQI4CKxjYOKLCUCDqqqInA/8XlVnRG7rgx/8oH7/+99PuubR\ncMcdd3DrrbemW8ageF2j1/WBaUwUpjExeF3jTTfdxC9/+UtPGlkiIsAvgOOqenNY/Wmq+ob7QkDT\nIAAAIABJREFU+dPA+ar6gfB1M+GaFA2vny+xMN2pxXSnFtOdOlJxTUrJSJaq+kXkU8ATOCncf6qq\n20TkRnf5vcC7gU+IiB/oBN4XbVuHDx9OheRRsX///nRLGBKva/S6PjCNicI0JoZM0OhhLgKuB14T\nkY1u3ZeAj4rIPCAA7AY+EbliJlyTopGp54vpTi2mO7WY7pOLVLkLoqqPA49H1N0b9vl/gP9JlR7D\nGAmHWns42tFLc5efAy09vHaojTOqisnNtnm9DSNTUdUaoscoPx6lzjAMwzCGJPtrX/taujUMi4aG\nhq8tXrw43TIGpby8nOrq6nTLGBSva/SSvt5AkGd3N/Hdmv3c9/JBnnyjkef3NtMYzGPVsTz+uOUo\nW490cKzDhwLlBTnkZHnDK8pLxzEWpjExeF3joUOHuPDCC7+ebh2JJhOuSdHw+vkSC9OdWkx3ajHd\nqSMV16SUxGQlkmeeeUbPOeecdMswTgFUlSffaOS+dQdp6fYDUJKXzfTKAioLcyjKzWbHsU5qm7r7\nrZeTJVw0o5wbl05hXHFeOqQbhud45ZVXWLFihTeePiSQTLgmqSpNXX7KC3LI9sgDIMMwjHSSimtS\nxvk4hWcy8So1NTXpljAkXteYbn2NnT6+9tRe7np+Py3dfmaNKeTmi6u5/5/m8923z+W2K2axLLuO\nn1x7Br+9bj5fuHQ6/3D6OGaNKSAQVFbtaeafH9zGn7Y0EAim70FGuo9jPJjGxJAJGr2KiEwTkWdF\nZKuIbBGRz7j13xaRbe78jX8UkfLIdTPhmrSvqZtXD7Wx5XB7X12mni+mO7WY7tRiuk8uUhaTZRiZ\nwtbD7Xz1qT209gQozsvmXy+Yyoo5lTgJyAYytjiXK04bwxWnjQGgob2Xe146wIu1LfxoTT0v7Gvm\nG2+eRUm+dTfD8Cg+4GZV3eTOlbVBRJ4CngS+qKpBEbkD+Dcgs1Jo4fwnATR2+dKsxDAM49TB3AUN\nI4z2Hj8f/+N2jnX4WDy5lFsuqaaqZGQufy/VtnD36jqOd/qYPbaQ/1w5m8rC3AQrNozMIJPcBUXk\nYeAHqvpMWN07gWtV9frwtplwTVq7v4VOXwCAy2ePSbMaw/AmqhrzYapx8mHugoaRYu5ZU8+xDh+n\njy/iP1fOHrGBBXDB9HK+f/Vcppbns/t4F7f85Y2+J8qGYSQWEckTkUtE5L1uucQdlRrudmYAi4G1\nEYtuIMpkxIZheIduf5BWN4Z6OLxS38q6ulYybeDB8DYZZ2Rlgv97Jvimel1jOvSt3tfM0280kp8t\nfP7S6UMGiMejsaokj7vedhqzxhRyoKWHmx/dyd7GrkRJHhKv/85gGhNFJmhMFiKyAGfC+x8DP3Wr\nLw37HO92SoAHgZtUtT2s/stAr6reH7lOJlyTojHS86Wtx4/f4kyHjelODS/VNrOhvpVnnnt+WOu1\ndPvp9AXSem5D5h3vEJmqO9lYkIhhAM1dPr5XUwfADedNZlpFQcK2XVmUy3feNoevPLmHrUc6uPnR\nndx2xUzOmVKWsH0YxinO/wJfVdVfikiTW/cc8JN4NyAiucBDwK9V9eGw+g8DVwEroq23atUq1q9f\n35e+uLy8nAULFrB8+XLgxM1HOsvbjnQwZ9F5/ZaHGM72mrt8/OrRp8jNyuJf3r0yLd9n8+bNaT+e\nIymH8Iqek/V4b9mwBoA5Y4qGtT6TzgRg9eoacrKy7HifhOd3TU0N99/vPCerrq6mqqqKFSui/q0n\nDIvJMk55VJXbn9lHzb5mFk4q4c6r5pCVBL/sHn+Qb6+q5fm9zWQL3HxxNW+ZOzbh+zEML5JM/3fX\nsBqjqioiTapaKU5wRaOqVsaxvgC/AI6r6s1h9SuBu4BLVfVYtHUz4ZqUqJisvY1d7GvqGvV2ThWO\ntPVyqK2H+RNLPDN34snOs7sbAVg0qZTKovhjoEPrLZ9RQW52xjl5GSPAYrIMIwWs2tNMzb5mCnOz\n+Nwl05NiYAHk52TxpTfN4B8XVBFQ+M7z+/nLtqj3bYZhDI9a4NyIuvOAN+Jc/yLgeuByEdnovq4E\nfgCUAE+5dfcMV9i+pi62NXQMd7WMoaM3wJbD7XT2BtItxXO83tBOU5ePuubuoRsbRpo52tHLsQ6L\nG08kGWdkZYL/eyb4pnpdY6r0NXX6+OGLjpvgx5dOYUJp/IkuRqIxS4SPLZ3CvyybAsDdq+v46/bk\nGVpe/53BNCaKTNCYRP4d+IuIfAPIE5Ev4cRWfSWelVW1RlWzVHWRqi52X4+r6mmqOj2s7pOR6w51\nTdrb2MXhth7PGSHh50tDey/HO0aW3n1jfRtHO3rZHDYHVzLJxPO8vrXHU7qDqqw/0MobxzqHbBuu\ne/fxTtYfaCWYAR5Qa15cnW4JIyJd54mqsuVw+4j7sZfOby+RMiNLRFaKyHYReUNEvjhIu/NExC8i\n70qVNuPURFX5wYt1tPYEWDy5lKvmpc51713zq/oMre/XJNfQMoyTHVX9C7ASGA+sAqqBd6rqE2kV\nFkY6b0sHG5z3B5WtR9p57XDbiLbtCwYBxx36VCfc+AhPoOALeOvYtHT5aevxc6BleCNs+5u7aevx\n09Q5/Ox9mU59Sze1TalLWjUSRmP8et9szkxSkvhCRLKBHwJXAPXAyyLyiKpui9LuTuBvQNTLwqJF\ni5KsdvSEAu68jNc1pkLfM7uaqNnXQmFuFp+9uHrY82OMVuO75lehCveurefumjqqivM4b1pik2F4\n/XcG05goMkFjMlHVjcAnUr3fdF6TWrr9FOVmjSiGJHS+jHQEK12k6zxXVY52+CgryKEgZ+Dx7uwN\nsLauhUml+cwYU8hLtc39lidad1A1aa7t4WTC/4qq0ukLUpyX3Ve37MKLAOc4qTJktuCh2OmO+k0p\nL0hqfN1Ij3dQlZq9zQRUOXtSKWOHEY+WCBJxnvQGgvT4g5Tmnzw5+VI1knU+sEtV96mqD3gAuCZK\nu0/juHgcTZEu4xTl8e3H+M7ztQB87PzhuQkmkmsXVHH94okocMdz+zjc1pMWHYaRyYjI7SLyjWiv\nONefJiLPishWEdkiIp9x6//RrQuISEqzWwSCSn1LT8yn08c7fbxS38rautZR7ef1hvjdgzJpntZA\nUHntUHvC5iZsaPex9Ug7a2pboi4/5P53H2rridtw7Q0E2dvYRXfYKGA8o16t3X5W7Wli9/Gh3f1O\nBTYfbmddXQv1LSeun6Fes3pfC8/vbSKQoNTsXnWV7OwNEHC1vXZoZKPS6Wb1vmbWH2ilszdAtz/I\n9oYOOjzmZj1cUmVkTQHqwsoH3Lo+RGQKjuH1I7cq6plsMVmJwesak6VPVfnlhkN8t6aOoMJ1iybw\nttNH5iaYKI3XnzORpdPKaOsJcPsze+lNoNuN139nMI2JIhM0JpFpEa/zgc8Bs+Nc3wfcrKpnAcuA\nfxWRM4DNwDuBmJPuxLomjeSmrqM3wL6mLoKqPL+3iZ3HOli1pylq2+Yu50Z+pK5oXjlfapu6+r5L\nPMSre39zN8c7e9l6ZKARqarUua5v8dLqttUROFZNKSuIqnt7Qwf7mrp49aBzU9zU5aNmXzPbh0iU\nst9NpLF/hAk1/MMwFJJ5Ld5yuJ36YbosRhIIKsc7nfPnYOsJIysUk+V33Vl7k+Syeai1Z8SGQH1L\nNy/sbe63/kiPd+gYpIuQ7tZuP1uPtI/Kfbi9N8C2Ix0cauthY31mGowhUmVkxdOjvwfcqk5OeSGG\nu6BhjJRQCvVfbzxMlsBnLprGR86dPGw3wUSTJcIXLpvOxNI83jjWxT1rDqRVj2FkGqr6YVX9SNhr\nJfAuIK67H1U9rKqb3M/twDZgsqpuV9Wdw9Wz9Ug7z+9tost3Yve1Td1DZu5aV9fC3sYuDjSPbEQ7\nqNp3M+kLBGnt9nbszLGOXvY0drHxYPw3Ut2+IFsOt/fdmO5r6mL9gdYBRq0vEPu242iHj11uEgd/\nUHmptoVdcSSBiMbGg22sPzD4aGIs97LWbuc7dPoCdPYGONByYjQsmWxvSP8I2PFOH0c7etl5rJNA\nUGnp9hNtSqHWbj+r9zXHHJGsbRq+kdbQfiKLXn1L94hHO4919LL9aAfr6qKPbg7FzmOd+INB9jSO\nPtYrEdtIBBvqW2lo72XH0ZGfY12+AB3uf2co5jNTicvxUUSuAf6qqiP9x67HeboYYhrOaFY4S4AH\n3BveccCVIuJT1UfCG+3atYtPfvKTnp74MRyv6DnVy7MXnsftT+/llXUvkZedxZ0fewcXTC8f1fZD\nk9slSu9tK2byke/+ngd2KwsnvYPLZ1eOevuhunQff+svyS8n+nwcbTkdEz9G8BTw++GuJCIzgMXA\n2njaL1q0iOOdPupbeji9qoi87Ky+m7aj7SeeLh9p7+FIew9nVpUM6Z7c6RvcNmzr8fcbxTjU1kNd\nczc9fsUfDLKsupwNB9rwBYMsmlwadRvRYijW7G9h8eRS8iNijnYf76SjN0hZQfaAdUZDZ+/wb6DK\n5izkaEcvTV1+Lp5ZwV735vJoRy8TS/P72g3m1hVu/Da099LtD1DXEmDOuCI6egMU5GQNiOGJtrWW\nbn/fKFzZEHEkQ8WsrK1roSg3+vENBJXXDrczoSSPyWX5UdsMB3+cN66qGneszfFOH3nZEnc8TbhN\n/Nrhdpq7fMwdV8yU8v7f7/WGDnoDQbYeaae5q4AZYwrIC4tBrG2OblyEYrIiCbiJXgAuml7RF2s1\nEoY6fwNBRYQhY+fCH75kQgxcNOYsPK+fsTnUSJYvEKSl28/YotwBD7r3NHadNHOVxTUZsYi8BkzG\niaX6larGdfEJWz8H2AGsAA4C64DrIhNfhLX/OfCoqv4xclkmTPxoeItX6lv5j7/vo60nwOSyPG5b\nMYtZYwvTLSsqf9l2jLtX11GSl83/vut0qkrSEytmGIkmyZMRz4qoKgLeD7xdVecPYzslwHPAN1X1\n4bD6Z4FbVPWVyHWeeeYZbSmfAcDksnzmjS/um9h01pjCAU+YQ22iEVpvUml+v9GMyIl/X6xtHvQm\nZt74YnYcdVzOZlQW0tDeG3My4tA+Q0wpL2DuuKKobSaU5HOkvaffdkLLskW4ZNaQ8z4DjqtjQ7uP\nw209fXEksSY3buvx0+0PMr7Y+S8Mj6+5fPaYvv2fXlXMpDAja3tDR98xjNx2bVNX3+8SfqwWTCxh\n8+F2yvJzWDK1fxKi1w619blkRX53cFwC61sdw3fuuGJ2Hjvh8je9opBZYwvxB5W2Hj+VhU5Sgpq9\nzTGf1F8+ewyqSpcvyPFOZ+QtVL/5cHvfjflIJoUO1z3YcV9/oJXZY4qorizot97ZE0sZW3wisUK3\nP9iX6CPW9lSV9t4AQYXyghwa2ge6clYU5rI44qHAmv0t/YziqpI8zppQEvW7lOTl0N7rjAUsnFRK\naX42NfscXcuqyynMzcYfVF7Y29RXt2Z//1GoWJMRh/Zz0YyKPiNvf1M3uxud32X+xJK+cxQcA+v5\nvU3kZWdx0YyKvnp/UMkWEJF+2i+dVTnAGHMMwg4mlOQN+WAmsh8P97wIqva5Jl8+ewyNnT5K8rP7\nGbTD2X9JXs6gibxCE6SfNq6IqeX9zy+A3OysPlfoZE18norJiON65KCqZ4vIQuADwEMi0gn8Evi1\nqu6LY32/iHwKeALIBn6qqttE5EZ3+b3xCt60aRNeN7LCRw68itc1JkrftoYObntyD70BZem0Mr54\n2XRKEpS5JhnH8G2nj2VdXQtr9rfy7VW13HnVnFFlkPL67wymMVFkgsYksiui3AlsAj4U7wZEJBd4\nCOe69vBQ7UN8//vfpy2YQ9XkqRTnZjNnynj8Y6czf8kyALZsWAPQV35l7UscrSiIORq4ZcMaDhXm\nMenMc/rKuYfK+rXfeLA15va3bFhDS3kh5XMWAvD0c8/jDyqnLz4fgBdeeIE9x7sozs/m3VeuGLD+\nupdWU1uSx5svv7Rvf1vc/R1p7znRfuIVjC/O6ysvPPeCqN8nVK6adw6l+dnsfu3lqPovn31V1PX/\n789PAnDDO95KcV42j/zmZ0yfe8aA9U+/ckW/9cfNXRzz+B1p62GMu/yhvz3T9/0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Y+3z6vKtiyDYbzMnMzJqvqsHcJ9BCIiwHuAqyZzDYPBYDCMn8aygmxLmDBJz5Nlj8FaDkxR1YdE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\ngOllXkSEy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vQN8mJLJz996RhffnI/H3hwOzf8bCv/9Ie9/HjTUZ5/7QytHX2TDqSR7/mY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\nDAaDwWAwpBBjZBkMBoPBYDAYDAZDCvn/52eGQ6R1aS4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12e733fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = pm.traceplot(trace[burnin:], vars=['alpha', 'mu'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see the above model has greater uncertinity around the estimation of the mean response time $(\\mu)$ for chat messages:\n",
    "- Poisson: 17.5 to 18.5\n",
    "- Negative Binomial: 16 to 21\n",
    "\n",
    "Additionally, the Negative Binonomial model has an $\\alpha$ parameter of 1.4 to 2.4 which further increases the variance in the estimated parameter $\\mu$. Lets have a look at the posterior preditive distribution and see if it more closely resembles the distribution from the observed data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AvwKly9KPBf6S3/8r8GlJgyVtBWwHTImIecAiSXtKEnB02T5mZmZmZr2iaLnF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\nh5JkEREREZEcSpJFRERERHL8f31NpaqPQ4t6AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1171e9898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_lim = 60\n",
    "y_pred = trace[burnin:].get_values('y_pred')\n",
    "\n",
    "fig = plt.figure(figsize=(10,6))\n",
    "fig.add_subplot(211)\n",
    "\n",
    "fig.add_subplot(211)\n",
    "\n",
    "_ = plt.hist(y_pred, range=[0, x_lim], bins=x_lim, histtype='stepfilled', color=colors[1])   \n",
    "_ = plt.xlim(1, x_lim)\n",
    "_ = plt.ylabel('Frequency')\n",
    "_ = plt.title('Posterior predictive distribution')\n",
    "\n",
    "fig.add_subplot(212)\n",
    "\n",
    "_ = plt.hist(messages['time_delay_seconds'].values, range=[0, x_lim], bins=x_lim, histtype='stepfilled')\n",
    "_ = plt.xlabel('Response time in seconds')\n",
    "_ = plt.ylabel('Frequency')\n",
    "_ = plt.title('Distribution of observed data')\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Yes, these two distributions are looking more similar to one another. As per the posterior predictive check, this would suggest that the Negative binomial model is a more appropriate fit for the underlying data. \n",
    "\n",
    "If you find yourself doubting the rigor of this model checking approach, Bayesians have other more analytical methods. \n",
    "\n",
    "### Model Check II: Bayes Factor\n",
    "Another modeling technique is to compute the Bayes factor. This is an analytical method that aims to compare two models with one another.\n",
    "\n",
    "The Bayes factor was typically a difficult metric to compute because it required integrating over the full joint probability distribution. In a low dimension space, integration is possible but once you being to model in even modest dimensionality, integrating over the full joint posterior distribution becomes computationally costly and timeconsuming.\n",
    "\n",
    "There is an alternative and analogous technique for calculating the Bayes factor. It involves taking your two models for comparrison and combining them into a hierarchal model with a model parameter index ($\\tau$). This index will switch between the two models throughout the MCMC process depending on which model it finds more credible. As such, the trace of the model index tells us a lot about the credibility of model M1 over model M2."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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oBfK/d59WopXnos50iXqHU6XsvV+IRqcOp+HjVDcDlTdF+eUoV0X5cJTtUY7l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\nWA01lecfe+yx9bOzs4vns7+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Bw/6GLxAgQIAAAQIECBBYJQIZDEV4NR1h0XSERRkYHQzF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jPn6xAjnvqguNGhwykC6UhifjqeIqcUFqfEeMyl0EpoDTQHehh6AeI0hyzjsHNmeCpG3qO+ATEi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\ne/2MU5mIAAIIIIAAAggg0NYCzS6MGcPFI8fNBa7PKz5l4RbFo59Opvl1P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QLFE84Z/AMAJlFLDPln3G7LNmnzl/sc/kqxT2GbXPKgUBBBBAAAEEEEAAAQQQQGCWCHArxVny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\nBBBAAIHZI8CtFGfPe82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PJfPy5X4NXJEfCXm1JJUlwizsvWhT5Iu1a2N+JPBq\n75F/H/OTV+YHxnndo+m1BeYJrvd7Beaj2idAYsyHwSACCCCAAAIIIIAAAggggAACCCCAAAIIIIAA\nAtNEwN8zKazn0zvVTuvJZLf6O2eMNr/PN+0u37B/0Hqf2TouU1iCKXhrQ1XtKy9p6CHFRYpmRbBY\nEswSXP5ityS8XWH7ZNuy2x9epvAnryy59AXFWMWSZq8aYwZL3F2qaBud50S9BhN1NulLisWKYG+s\ni1UX7PWmqjHLMk0NJvNc1ZnNRQp7j8KKJdg+qbBEo5mMVbo00d5nm7da0aaw98D2N1/S+QFexxYg\nMTa2D1MRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEDgUAt/WRoM9k8LaYUmsmxSFzvdbzzIrb3/5\nJfT/liCydVhSqZhit1T8ruKiAjNbgssSTxt908/QsCWDhhV2+8P8tuzZYXWKYHJJVaHlLtVaEuiO\n0KkvV9q0JoX1Alv/ctXI/Edp2JJWn1BsGa0Pvlivt0K3bfTPe7lGzHyjv3J0eK5edyrMaKxivdBe\nUvx1YKZ6jW9UWILRXq3Y+2zz9ipeUORva/k+Dds+9SkoRQiMl4UsYhXMggACCCCAAAIIIIAAAggg\ngAACCCCAAAIIIIAAAmUWOLNM67MeS5Y4Gau0a+J484y1fNg0SzwtU1jS7Q2KUxVW8rcFtATXDxV7\nrbLEYkkg87HeU2sVKYUl26xn1fOKjCJfTtbAJsVgvqKI15s1j3lY29cpFipsW7Zd66m1QVGoJ5gm\nOZP1XO5b/xc0bLmc+QpL9iUVVmyfbDuUEgVIjJUIxuwIIIAAAggggAACCCCAAAIIIIAAAggggAAC\nCCBQtIAlvr43GkUvVOSMlqiyXmFjFf9zxMaaL2yatd0SeAe7BJNuluizRKMFZZIC1s2PggACCCCA\nAAIIIIAAAggggAACCCCAAAIIIIAAAggggMCMFyAxNuPfYnYQAQQQQAABBBBAAAEEEEAAAQQQQAAB\nBBBAAAEEEEDABLiVIp8DBBBAoEQBz/PsnsXHKOz1gLKtb6jhgZ1DC4c8t2kwOxz1Ardn1s2J3Yjr\npmOuM+fklvSpl3re7gNWUkTFiz1D8+7dOZjOem7U8zJOcDsRx4ulU4kFyYjjHteQXP83ntddxGr3\nzdKbycQ3djW0dg5781/s7kvmAvuRnzHiOvGF1Yk1NXGncXXD3MSXPW8oP62Y172D2fT97f0rB3PO\n/J6hTKzQdqKukzpxQfqkpWmn9UOely1m3f55tvVnG+/ZkZuXyTl1mVwu4vknaljvSyQWidTFIs68\nU+anTvuM55V8f2v1aY++2Juef992L5UNbmB0e/a+1CRiS/S+JE5orlr/ac+zB6aWUtwdfYO1g7lc\nYnd/ZGHGy8XDFo64keElaffFVDQ6VJ2M9usPfoEWhS1dkXV2H/GHXNe1VwoCCCCAAAJjChQ6nusd\nzCSe68uu6Nbxz+augUSh4xL9PU8sqUutrY27c5avrqvT8VxJxz/5xnVlMqlHdw0d0Zdx5u8eHIrn\nPHuMxYFFV7QmV9YnjpmTdFoWVDvt2l7Jx0K2VjvuenDP0MqBrDO/a2BwzOOu4xfUnLQkPbf1rzxv\n+MAWFVezazBbe/8Ot20w587vz2aiB+yf5+m4OBLXcXHt8XNTp/6t59mzNCZctvVlG/7Q3tcynHMa\n+7Mhx3ueF4nFo9XaXtOJc5J2vFfqcTjHGxN+d1gQAQQQQAABBBCYPgIkxqbPe0FLEECgcgQsIXaK\noiGsyQ2JWHVrrbdoOOfV9+fciHdgOiKSiLhVsYjbWB9zT9M6SkpY5bfZlIzUt9bE00r0RHXSxvJt\n+Ukjr0oQRJXlWZiIOunaVPR0VZaUMEhGYtGWdLa5IZOr17mYRC5kR2xDUddNtFRH16SibouSPXNV\nZfc8Lrqk49Hkstr4ysGsV985HI0V2o4SVqm5CfdknRjq1MqD91ked3sN8Wha25mn96VuKOfofdn/\njZGX3henLh5xPc1r70upCStHbYuojfWttfGU3pfQoqRorD7uLklG3Trtu90Hu5QHvzr2fkcjkfkR\nz63JeTl7eGxV2IZcx+vLOpG7dNasR+3ao3kKtChs6Yqs61Crn1KU9DmvyD2l0QgggAAC5RAIPZ5L\nxiOxlip3QUPcq494iUShC110wU5iUXVsbVXMXZSMuwvVoJKOf/I7UK00zZKa3Ao7DqqJJ+PZwPFJ\nfj4dbyUXpWPHVMfdTh2v2APlJ/R33Y67WtPRVba9jnhyzOOueQn3JF19Y8ddE0rCWdvTUbeqrS7R\nqkRVfddQJLb/0ZfNoWNJx43rOK92bnXMjq9t3yZc6mJuurUu0TKs/evN5KIHrMh13ITr1uh4L9uY\nip2q6T0HzDN2BccbY/swFQEEEEAAAQQQqAgBEmMV8TbRSAQQQAABBPICOddzohElEGNZJ1OjHoPV\n+Sn+V8/JRbJe3K4Ej+RyytBGlB6jIIAAAggggAACCCCAAAIIIIAAAgggMMsFSIzN8g8Au48AAggg\nUGkCESebG7YrvHVVuatbaXrpsD2wW2u6Tk4XtFtG7MALpsOWoQ4BBBBAAAEEEEAAAQQQQAABBBBA\nAIGZLkBibKa/w+wfAgggUIEC2UzG6enqdG74yQ+doaFBZ82Rxzq1tTVO62nHOTUNdRPao13t2yM/\n+8FV6f7BoXRVXUOkuqbWOf6Ms5yq6tC80oS2MRMX2rZtW+KrX/3qmp6ennh1dfVwfX390Ac+8IHn\nmpubJ/y8kbGcbHvf/OY3V9n21MvNs+1dfPHFz07V9sZqC9MQQAABBBCoFIGD/fe6UlxoJwIIIIAA\nAggggAACYQIkxsJUqEMAAQQQOGQCnqObAGazTtfePc6V3/6q09vd7bzhz97vzF+wwHn1Uav0ZLeJ\nJcZ279gZufbKH6R7envTjc3zI3MXtDjrTjiZxNg47/TOnTuTv/jFL47s7OxMK0nVN2fOnO4LL7xw\n81Qlqtrb2xPXXHPNEba9eDyeaWpq6nnzm9+8aaq2N87uMxkBBBBAAIGKEDjYf68rAoVGIoAAAggg\ngAACCCBQQIDEWAEYqhFAAAEEZpiAbigYjye8WHxYkXBisYSjew1SxhFwXdeLxWI5Jamy0WjUIqfw\nxlmMyQgggAACCCBwEAX4e30QsdkUAggggAACCCCAQMUL6DQhBQEEEEAAgZkvYMmcWCzuxJUQiyfi\nSo7FRp7CNfP3fPJ7qMRYxmI0MZad/BpZAwIIIIAAAgiUW4C/1+UWZX0IIIAAAggggAACM1WAHmMz\n9Z1lvxBAAAEE9hNoaJrjveZP3tY7MDQUS6br4nrGmJuqrt5vHkYOFNAtDId068TH7ZlfqVQq09DQ\nMKTbG07J88UO3Do1CCCAAAIIIFCMAH+vi1FiHgQQQAABBBBAAAEEXhYgMcYnAQEEEEBgVgjMbV6Q\ne/0739M3nPPiQzmnzvM8ek0X8c63tLQMffazn32iiFmZBQEEEEAAAQQOkQB/rw8RPJtFAAEEEEAA\nAQQQqEgBTgpW5NtGoxFAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBEoVIDFWqhjzI4AAAggg\ngAACCCCAAAIIIIAAAggggAACCCCAAAIIVKQAt1KsyLeNRiOAQCUI9PZ0O3fccoMzMDDgJFPVipSz\nbPVax8vl3Cf+cG+yt7OzbvvTj5ySGRwYrKqqGk4kEtmVK1fubWxsHNQznbbpNaP99CKR/a9hGBoa\ncnfu3JncsXtP6tb7H4/1Dw5FO3bvdDLZrJPNDDs2f13THEfrdA9fvSZZV5NOLly30k1WJUPZ+vr6\nIg888EDDrl27Evfff3+zxuN79uyp0noic1oWRWoam1IrTjwzHonFnB1bNzuD2p/OXe3anyrntPMu\ncGprakPXW+7K4eHh6O233Tbvt06u9rFHHmnq7++PdXV1pWw7euZVX3V19fAJJ5zQPnfu3KHjjz++\nQ+M5fxt2tW+P/PxHP0vLK52qqY3oGWPO8Wec5VRVp0dm6+vtidx206+q+7o6napM76rqZKLn1FNP\nbdctF91f//rXC7u7uxMyqslms26h92u/DY5uXPM7He07nf6+XueZxx5x+nu6Yx1bNy/MDg02Zfu7\nk7GIOzRv3ry+2traofPOO2/rnDlzhhcsWDAYi8U8f/vb29vj3/rWt1b29Pam0k3zapM1tdVLjzox\nZtt89tGHtP4+p7tjj6P2OjX1jU4qmXRPPnptdVN93fDyhfPjPWr/Nddcs6ijoyO5devW2kwmE7F9\nsc/dkiVLuvTssMG3v/3tm+1zp23n8p+7bdu2Jb7+9a+vzj9jrL6+fugDH/jAc3qWyX7PGbPP0b33\n3tu0e/fuxIMPPji3t7c3rm2lzC+Xy9nn0qurqxu090nvT7v2c0i+e4Lvk3+fGUYAAQQQQGA6CGQz\nGadHxwc3/OSHjo5HnGNOOc1JpZKRDd0dTUO9XVXPPvbwPP0ddu3vnuu6jv6W9qXT6eHTTjutXcco\nQ0cddVRnob93g0MD7qYNG1Md3d2pBx9/wrXjxs69exz72xmLRp2ojr/q58x1qvR33TvhmOSchrrk\nsgXN9vd7P5rx/l7b+nQsE9+9tyN5w2/vbezu7avf2b47Mqx9GxgcGFlXlY7tEsmU09K2zKlJVzuL\nTzzGTTXW7ret/Hr27t0bu/HGG+fbccWmTZvqdHwa1bGANcqzv/XJZDK7evXq3fVzmqOHrz87HktV\nu46j/wIlp+Okvbt2ugO9PYnrb71+bdeeXYPmqGOUSDQazdkxSUnHSf0DNTUL2xqT6ZrqZWuPce24\n6ImHfu/09fQ4nXv2ONlsJpKIxapiUTfX2lTX1lhX2zXWcXeguYd89Mu/86qGq3au98Tseql4zs3u\nj+p6meyws8V1In3D1dueuWzduqFD3mgagAACCCCAAAIITEMBEmPT8E2hSQggMDME+pQYu/W6q52u\njr1Off0cp7ah0amuqVHyKuPedPVPU7t3bEttevapkzLDw54SLQOpVGpQJ05eUFKka/369buUKMkG\nkyMmo4SGq5Mfyec3bUre/qtrop1dXZGNzzzpDOlEysBAnxOLxZ2lK1Y69Y1NbuzCNyfmz2tODC5f\n4tYWSIwpwRRVIqPxpZdeqvnVr351hJJN1UoANdiJnfktC3vmzl/gXNi4IBbTCZhH7v2d9qfD2fTs\nE05dQ5NzzOlnHMTEWCb6yEMPNfd1dWRvvf321b3d3VWdnZ0jWTklWfbKq08nqx5bvHhxz5o1a7qD\nJ6B2t++MXH/VD9I9Pb3purlzI3PntzjrTjh5X2Ksv7fXve36X6R379yuPfVW1takeyxZpXVGrr32\n2nVKFtZu3769WSeEIoXeL0seBotOwDi7d2x39ig5duu1P3X2tu+MbXrmmUXDQ4NePBZdpPfYEmG7\ndeKsZ/ny5V3aXp+dRAu+90qMJa677rrDO7u70w1Nc1ydJIv9UV1T1E4o3XLNyHqdl17YMJIYa1nS\n5tTV10dqnbdWL2xpydQnY/FdO3fGlOBbqfXUbty4sUWfo5giqhNrwzpxtUknnbrOPPPMndq3XE1N\nzb4cn21XCbUjdZIqbcay7tEJpM35xJidILMkmhJhUSVWm5R0q9GJsrVKpFUpSdagE1tRmViCN6ek\nWretQyf9Hl+0aFHPWCcKg46MI4AAAgggcCgElIBw7G9tl5JVV377q86ALkSJx+NOrf7O9m5/qbF7\n7566391x61xdgJLUsUK9tVF/I/fob16vkjKPL126tEd/Zw84Lsnvy0D/YGTziy8kt23bnrzlFz+N\ndHZ2OC9t2KDjvWEnMZqoal25yqlvaHBbG2oSzuJFiUVzG/dLVtm6xvt7bcePSoxFt27ZmvjtLTc1\nqq11Tzz+WHSgv9/RPozkrOob5zo1dXXOia8+22lSMu5Vq1rdptoq144B85dp7VvP1q2pm266qc0u\nGnrqqada9bc9ocTYyAVLSgr227HSscce+1zLktZM27GnRGsSNskOCfYvdpzUvn2bu2fn9uSvrr9u\nzS4dM+kCsDl2jKLk2rCOhzKlHCd1dffUNS9prVVCLlZd3xTJ5nScdPXPRo7FNj33lJMdzrg6Hq9W\nYjO6bs3hrfPnz+sc67h7/9Ye+rGBaHd1xImco0Or5pyXrbZDrP1a5Tn90UjuPsfJteuTuFHTSIzt\nB8QIAggggAACCCDwssCBZ/CQQQABBBAoq4CX85y+3m5naHjAue3aX4yceEimErl5CxZkqmLu9szQ\nUFZJh1rrvfP8888v0MmA+p/97GftbW1tPeeff/529bLJWoOsp9jmzZurlMBKqefQur0dHXXb93Qm\ntHpnyfIVjutGRnqMaT1OX3e3s2v79uhNv/y5LoStiVUN9zW3LlncrRMU+3pSKXERveuuu5q0zuqr\nr756rZJMVTqhkbSrc3USZ3s0GrMTMhFlWmK/vfF6x1Xyo6erwxkeGtZ2RppUVqdCK8sMDzmbNjyj\nK5iTsa6dW1qzQ0OZtE626IzGoBI4fXZFsU7GJJXQs4TMGvV86tPJmIx6QfXpRMcezVNSY61HX//g\nQFKJK/cnP/nJWiUIPZ0Ay6onWrfW3WOJsULv12suuGCnm3q5B5pO6DjtW18auer75quvcjp379J7\nss3R/uRalx3WqxMZmcxgf7cSpZ7anraTSVdcccUxSjz1XnLJJY8qwTewcOHCASWu9us5ppNzbtfe\nvcmB/oHY3Tf/2o3p5Fx94xynprZupKfg0OCgs0vbHezri13/y6tbq1KpgRsbmxpyuYxjPezs/VUC\nboudcNLJrHrz02eg2RJf119//aLW1tae173uddvyn7tC70u+3j5Ht956a7M+l9W//OUv12gbVfqs\nqlnxjD7DW2w+jcdtO0rCJm0/b7vttlW6mt5OFHZqnr7DDz+8O7if+fXzigACCCCAwHQS0PGB86x6\ngNtxyc6NG+ZpPKMEzmAiHrde0YP6+xqxv3vqUVV7ww03rNHfu179jcvq2KrP31Nafw8jDz30UP3m\nLVvSP/rRVUuVtKrdvWdXNKceToetWeu4Uct3RJSUy1mPKh1HtMe//5/fXt3U2NB18Ycv7l2yaFF/\n2HFCIStdrBL/xje+sXLb9u11jz34cOPQcKaqrrEx0qAE2JJlK0YurOnr6dLi6mH1h/ud6uqq2M/T\nsZbFixZVv+H1r9+qRJ/dycDJr8cuhHniiScWW0JM+92vZFifLrIZOebS3/uRBJkSZou27tiZW3bb\nLUPNLYtiK4492Y0nX76DwSvHSbvdm37+k2hH+w5nV/vOlC4Qymi/dlpPc7tIS8ddbinHSZ6Xs95h\nEXsfbr3257p4J+okqlPOvMWLnTnz5+s4bFhJsq2ejseiOu5euGPH9rqw4+5Cjoe6fsgdiKecyGH6\nB8VCz8vWuTpCD7SpVx+bLdY5L9UfOzATGZiZUQQQQAABBBBAYLYKkBibre88+40AAgdNwHrU2O1b\nLMHz+AP3O8oYeMederrX1DhnaPWy1k3DA/1Z3cqw1XrYvPjiiy12Zew999yzQyccOk8//fRd+QSF\n/oFvibNqnYSov+WWW47S/LU1DU2JtBIia44+1kmN3hLQrmS+787fOL3dXZENjz86p0qZkcMWLpiz\nZ9fy2Nq1a7vyPal00iLy+9//vvmFF16o1y3w1gwODiZ1QmO3pg+sWrVqm64O9jo6Ouf09val7rrx\nOuWLcs78RUt0S5+4TjIcNL6RExgvbnjaNhhv37alNeK6Q0ccccTzdvJJJ6IyOiETf/LJJ1vVYym5\nZcuW+ep5N7Bs2bJdis6jjz66s+TEmG79J5uE3q/Ehg0bFiuRlD3yyCOfV0+n7paWli470VLo/Tr1\n9NP3NIwmxuy2ltte3ORsf+lF5+afXznSc3BO83ynOl2TW3Pcup5kIjnYvXvnHr1P0UceeWS5Jff0\nns/T+92jhN5mJZI69X4MBhNGSoxFOnv7krmOjphObkWqdEvI9ee8xrHXJTqB1KtbPW1+7ll7jW/f\n8uJSnVTK1aTTIz3TlHSzWzkNrlu3bpudaFJPQcc+d7oF0iJdOZ7R52GhesV1nnHGGe35z91477T1\nFLv77rvn67Nbrx5ja3QyMKGk3nadIBtQz71tdjJQSbeUmeoE2VLNn9J+zrcTaI8++ugG65Gn92rk\npOF422I6AggggAACh1pgeHDIefbxh60Z0W0bNy7Qn96hdevWPqe/a4M6BtlrxyU6Vltqf9d1XNKi\ni3X6V6xY0a6LUTr9PaV13BV5+OGHG3SsUX/7zTcs6R8YSM+Zt8C147plJ6wbuWW1XeyiWz079936\njI4luxPPPfn4qjodj5x26ikbcroAJ+w4oZCPEnXxm2++eZV6ltXrzgONsXgiduTJp7k1dfWOenUp\nAZUdSfjZLSOffPA+R8dbscZUfKEuNEq/+owzduYTY/712HGLXUCk/dus460B9ezqsOML7dMC+3tv\nxxeJ7TvcB+6+q31h6zJnydqjI/nEmP846Zarr4x17tkdqa2pEWHKjlM263XYLJVATJRynGS3TpRV\ntLuzI/rUow878UTSOX79mU5Nc70zf/FSXeA15Dz0u9ty6gHoPvPYYwujEXcg7Li7kOOhro850bju\ny36Y57itbsRtVHv2Pyp3nW7lNp9UpjMzUKV7cVIQQAABBBBAAAEEQgVIjIWyUIkAAgiUT8BuEbNr\n2zZHD0pwjtSt++p0S8UT1r96KF1d1d+cyG3PquvP/Pnze5SQqNEt6+qUEIlq2G5l6NpJk3xLlLiI\nq0fPUvXMqVOdq9vpZc5509sjjXOb3SUrVuv8xsvPmrB/8Le0tjp71UPpNz/9sTol9bn33ndfq05O\ndKoH2sgVv5bc2bFjR1InApaoh1qdTub0223uzjrrrMd1kqX3sMMO69C9E93OocEe3bqvpnZuS0tP\nT1fshQ26BY16izU2NeWbNeWvI7cv0u0olQQbOva4456ur6vrPeH441/SCZiR51fIKKpeTuLZU60e\ncEeYn06gLNFJn/o3v/nNLyoZNPLMrGIbmlWPMLvK21WPLjvRI5c+3WLweXsGl26NNKDET2S898uS\niPbMr4fvuUvPZXvJsd53c+ctcM5+89udhsam3LLFCzt1G8XeXHfHC33dnZ7Mu9X+tBJTlqCM33HH\nHUvseR1KUPYokbXfLXDshFNvb08yWVUdO/Wc17iNzfOcI44/2UlWVY3sohJtum3jDmfPzh3OY3/4\nfSw7PJzVSbk+Jbr6zj777Kd1m8Z+9dLqlpOrRF+3nGp0kqxJnwnrQVarRFbO/7kbz00nrKI6Adak\nz2ydlh22WyfZ50hGvXpfrCdYTsm3mOaLabt7tI20Tswdp+1bT7Va9Syz7el2P05JPfvGaxfTEUAA\nAQQQmAoB/f2y2yLbcUnm+JNPebGurrb3uKOOeFbHJZYYy9pxiXqH7Tsu0d9t6xm2WEmkuje+8Y0v\n2bM8rV36e5hQj+ulOh6r13PE3KbmeZlz3vz2uI7rnNblq3QhVULJquGRZ7vaMYT1Grvt2p/bseGY\nxwnBfbZjEt0VIK6/9UlLilnPtGUrV/fqebSRM8+/sFbPJY3UNtSN9BhrW3W4nsO1y9E2HD3zy9Xx\nUJ3+Tnu6iGXkeaH+9VgvLt0WeYddCHPuuec+qeOLAe3boG1fia2d2la1jltjWc9L7Wlv1+6k9GzT\nzMjzsPY7Ttpix0lRT8eWg+tPO/3ROXOaerX8LvnqJgFDETt+KOU4yS4k6+jcEYvGk7EjTzjF1a3F\nnePPPNtJ6wKimrpauy2mp20M7NqxTT37t3oDfb2ZsOPuoCPjCCCAAAIIIIAAAjNLgMTYzHo/2RsE\nEJiGApbYad++1alKp50jTjzFel15688+d0hX/PavrE9sT0edbv2jf+sf/vCHOp0gWacTFmmdLKlT\nXsxOTOxLjOkEROw+JbgseWFX5yoxNvzad7w7olvTRPQQhpg958mKXSl7zKmn67Z9W71H774ru3Pr\nS+7T6lG1fetWraJLzxxw7HlQEZ2wSDz++ONLVafHSdR1K4HU9dGPfvQRnYywZIxu3BOJdg1ne7ft\nbK+P1v7imB3btjpP6Arivt5ee86FreaglJETOnt2O/a8rwsuuOApu/3eH59zzn63mNTJps3al9rH\nHnus1W5z+Nxzzy2WU7fto650HtCy+56ZNV6j7VaKOvFTp8RV/zHHHLPZep5dfPHFz/qfqVXo/dKV\n3SNvgic9nWhRYuy3jnq5OfbssSY9q+28N73Nmb9wUW5BU12nnvreubQ2+UJmoG9YV4zvUNvr1YNr\nhd1+SMNL1PY6vTfPKnm1X2LM3l97jkk0kbTEmLNAVz8v1q004zqBZqVXz7br2NU+0lPtiYceiA5l\n+nPa/36dVOr68Ic/bH59ZmpFn7Vt9rnTs8eO0WeiWifAaixRZSeVRmYo4n/2GVVvsTm6tVKtJS+1\nrV5t5wn11htJiuU/lzq5NdLj0W4bdeeddx6h5RJKytXZs9T8n/MiNsksCCCAAAIIHDIB61llzw2t\nrW8Y/uMLXvPiYcuXd57/R2c/3VhfO/L32v7e+Y9LdExR88wzz9iFSHYRzP1KJg3Y30Ydr8T1979N\nr3VKjDmNzc2Z89789piO69yq2hr12Hr5uE5/k50Vhx8x8nf9nt/cGNEtFRNjHScEYexvuv6+x/R3\nOqHt1+sWitWnrD58+6K2Zc6Zr31jukbPSssvY8cYdnGN3eFAz8KNdHZ11GiaJfvs1oT7rcd6xB1/\n/PEbtD+df/VXf/WULn4ZsPXYMYbtn9pYo7/5S/Qs3Lq9u9pro/FE1J6za/PoWGv/4yRdQFRb3zh0\n8cUfelS99Dt1++ohXVgzcitpHXNZz7qij5PsuHvXzh2xdF19zI677TjppLPO2fdMWWviEcceP7h9\n8ybv5p9d5QwPDnhhx93WTgoCCCCAAAIIIIDAzBUgMTZz31v2DAEEpouAElzJZGrkStXWlatHbkdo\nDzH3F11hnLNklK427tcJhYjC1QmIkRMVdoLBetzoZEbCrmjVcLVuVbOrZclS3Y4mtdAeQpFTrzQv\n9/J5DTupYc8b05W53uJlh/XH4zHv6UcerrKEixIRKSXBMup1VvX000/XqS5p21LyZ4ee5zByIsLa\nsl/b1BPpsMPXOdW61U66tlYPgx+50Nk/y5QO28mieS2LHPXY8lauXNm9WpE/WWIbtsSK3d5HiZ9B\nTd9iV16rB9MSnbBJqNdV2qbp1ovdpTRSyaHhVDJht/Jp1+0nO5Xw2d9kjPcrox513XoWW5d6uem2\nQDrx0+esOOoYZ97CRfKrs2eS6P15Je9k7beTZEqCxZQE22Un0KzHmtqrnmG9MXt/dIJp33PGLCma\n1lXpdfX12aZ58xMN6jGoK6337Z6djKpVr0RLkNmw3QpSycFdduJKV3Xv1yvL9ss+dwp7JkrMPjvW\nk8xi3wrHGdDV4cPnnXfe0zqxZ88Pi+kzPKTeYoO2X/5F7YSaXWmufYprOyPrt8+4hX8+hhFAAAEE\nEJjOAnZc0rygxWmaM8drPWxVX9uyw/qSyfi+v3nB4xK70MWOS/T3r0q3r05bT2r1rs7ZsZguUKke\nGhpOLl+9pmvB0qVuukadr5PJqP84wf6W19Q3OA0D/blFixZ3xHWLZOvJJaPQ44QwOztusnbZMYQd\nV+zYtiXpaj869+7R6iNOqiY9koiz7VarZ9VZr3ujnlfbOex17HyqpirZqYunhm29/vXY33I75rJX\nXSBTZdN0LDak9Y1Y6IKiIT2z9InevoF0vGnu8nR9U1V1dU2Vth+z2zXud5x05NE59TjLNs5pztqx\niv8YwoZLOU4Six1r5apranKtK1ZHFixeYrcxf4VFRyDqya/nxyZy6dqa/oHe9IgJxyOvEDGEAAII\nIIAAAgjMBgESY7PhXWYfEUDgkArYSQZLhtgtXEYSYwsXO4n4Kz+/dkLCTiKMJsbsVn2WoLBb1oxc\nnWuNVzIsalcW62rfertC9+STT356qW6zk0om51sOzB7M7ri+3I3+0a9bK3qHrVjdl4onnccefKDe\nURJMV8Sm7ISDTtDU2m3slMhI2bbUu2frcl3xbEmz/MmI0U5FTkKJMbtSOV1brxMnNdbbbL/EzlTj\nqj3OAj37Ym5zc27tEUf0rF2zpkeZlH07a36WnNFzrfr17I7tSob168rsVksE6ursKp14GtItEXuL\nbaeyUJ5OeuWs95Oe8dauq6G78id5bB1jvl8jSaUhp7uz0+nu6HA69u52Bvv7neXysyuWq5VYVDJT\np2xeyTvZiSTdcmlA7Y20tbW1K3k5pGemHabPQTzfk0qfhX3Nt+2n00qM1TVk5ygxZrdc8he7Zee+\nxJiGNX9OCcNd9v7mE3y2DiuWBNXJuZHEmG6TZEk43eYo+0qWzb/iAsNKgg1dcsklz+hzNHIrJFu3\nTqDZibEDlrDEmE4C5s9OuaOfc/usvwJywFJUIIAAAgggMH0ElFTRs6qWOM3z5nkrVq/pW7H8sL5E\nwt2XGLO/f8HjEj1js03HXFXqSVZtf3ft77EudqqyZFkmm00sX7Wma8my5U66rnaOnsG1399hW58l\nxnQRVHZJa2uHm8s4Tzz+2CI7Xgw7TghK2XGd3arQYiQxptsZtm/fnnIjumVBxx7XjlGT1bodc/Tl\nv9tVembtq1//JicWcYbWNqaerolHOjVFd5rOjfyd37ceHTMo6Vdvf8O1X1W6MCZrPb3suM2KHR9c\neumlT/RnclWbeoZrhnNOfddQdsGwnsHa09W1/3HS6rW5+QtacvPm/z/27jxI7us+DPyvr7kvYHAR\nAAmQIinx1EXJlCLZVGQpsmVJlrWij40TVm3srfVmt7Z2k9T+4VTg5K/d9W6lXOUqKUlVXK7Euz5i\ne+NDsiOTkuW1ZEs2JVG8KQIgAeI+5j762u9roKHGsGd6DoCc6fn8qn7s63e893kN9pv3fcfeSurQ\n1JqHtdaTUt+j1DlsYHCkfuiuuxsd0lLdqHWLPKROa7WoE5dn+vrSbAvX1btbj/WcAAECBAgQIECg\nOwW+3zLbnfmTKwIECLzpAqlBY3BkpLGnXsYReFkpTY1Gi/QHevOgCITlo/EkBbXS6K4ULCvG9DS3\nHXv1RHZ+dqGvp68v/l8eh18748qZi3HeS089OTw9MZkWGs8X+/oaPYtTcCIFjCLQ1giKReNA6qU7\nFz1755qBk+a902M+LpwaFFJv26GRsSyWRGsEh1qPuZnP89FwMzY+nu3YtSuLBSOWvVVq+IkRVzNp\n1FKzR3SMsuuLRpuFtYyAisXm6xFwXIiGq4VojKml66bGoGW215VXGjE2PXE5m4ne0Om8ZJfWt0j7\n0oaZ1msm+2gMmo8gaG96P5V1mvYoyr4nRgg21uxI78dowHpKVwQ+a/FlSg1xS0o+HROht9Qy1Dg+\nV49rV9O6JykvjTdf/5/0/nWfVaL9a6pc3TWbKw4XewcGS30LA8X+wUJpYLh0oV68/9jU4nxM8xRD\ny2rlkaGR45XF+WoEJfvDP62Rtyt9byPINxCNdoXIR3q/FJ/viJFx/Sm4G/8urrvf65PkHQIECBAg\nsPkErvyuj2djO3dlqV633LZcvSQ6QlXSb378NjbqYen3cGznjsVU18kXlv9tjOHh9ZjKem5ydDT9\nYDcCOe3qCe3SE9McVyJQNR+j4I/FOSMXL13e+9orx4t/8B//fSPotu/gocZapeOxbmlvX3+277ZD\n2UAEzMpD+yPK1KiWNC7bep00/WDsY1Gn3PG5z33u3fHZfHTwuRT1jUqM8JqO1+U06r5/ZKxU2ntb\nVCavWKW6UaojXasnRb14dOd4fWx8V+qY1C75jfdWW09q1LuHh9JosFpcr7CKencjMLbsjX1AgAAB\nAgQIECDQlQLL1zy7MrsyRYAAgTdeIK0REescNPZCBHmaAYt2KUl/zC/9PAJhjZ64EeDpTwGzFBh7\n+eWXb03nf+fJv213meZ7KTKSptppbBHsycWopGIEJkrRkNEXAbLedL3Y6tFYMhvT7c0uFzjJR+/o\nWBsi1vkayRZiasClaWze42Y8NhqgdkYD1Hg0QLVOhbPkZqnBJBpiZiOwVErBvgiG5WOqob7Ia5om\n8HXBoyWnX3uZPKLRaj56Ps+nXtHpg1Qu7bZ25VWPaS2nY8RYmiYoraGRAnujOyMwFnt6vtyW7GOk\nVcSPZtNUg2lKw3wEL3tSo1fqgd08L8W7YirOagTGli2GNCKtOSotpTE1UqWGuLXkI0KBhYnF6t7Z\nWn600Nc3UJjr7Sv19feWBgYHZuqle87P1aqlQq1cyOdmdg72a4zvQwAAQABJREFUn8jVq+WYUqkv\npTfWwtsb5ZCmstwR37meGLW3KwJkKS8704i0lL9I07VgXzNvHgkQIECAwGYXKMTIqtEIio2O7471\nPZf/XW9XL0l1r+h4U0nreUYdpTGdddSx6jvHdy2ORwegqCcs22mkEAG0HTt2zk+ldV5XqCcs9Uu/\n/Wk0V5qO8P3vf//xmPZw9Atf+MLeixfOl/7gP/5aLuoTMaPB2xrTPd91/wPZSHTkeUdUNkajU1fl\nUBqVfiUw1u46f/zHf7wn6ir9f/7nf7476kzV6MhzLv2+v+UtbzkdU2DPxcnHxvftzx3eeUush3ul\n6SHVjVIdqbWeNLJzZ31s13hM97hyB6jV1JOi3lgfGhqupT0CY42K7lKT5utUkVq2MtU8yCMBAgQI\nECBAgEBXCgiMdWWxyhQBAptKIAIZheglm/bXj+1ZXUrTiKfoYdsI7kQApRJT770WaydkB++6b2+x\nJ1oacvVomVkS+4mWh8rc/MVatby4MH35/NDAwHQ0VExGg0U1BXya11tdCq4ctdkbEFK+ouHmWqNS\nCjYtF+xbKd/RqFKLay07TGylczfyWfimtF9LfyqjVPYbueYGzs1VIn5VzXJ90VBXyhWKpbCthU2+\nWs+NlWv1WoxrXKzMzvX+zhf/y23nTr5Sefzxx++IaaF60rSM6b4RjFtIAca3ve1tJ1K5hOmL8Xnv\n1772tfs3kC6nEiBAgACBLSGwtF6SftfXU/9qZjb6WkUgp/mqMbp81fWENJV2TBF9+i133TVdHB7b\nNzs7N3T+4oVbYqR7oRrrx6ZOK0eff7YxCu7UK8ejA0tv6eW/PHx4z66dE48++ugrzXXGmteJaaov\nR16ymCK5L601Fp2QCs3f/+gYsyc6xdROnjw5NhzTQD78kaP9O3bv7bnn4R9KExGse1ttPSnVOVrr\ng+u+oRMJECBAgAABAgS6VkBgrGuLVsYIENg8AmkqwlhHrLF2w/paA5YGxu67775X98aaVe/4uz+6\no6d/IF+N2Nvrr1yvFsuLF2JRiunehYlnY1X02fvvv38yAhOFdL1owGg/DGoZuMb1U2tM6l0bjSeb\ncUsNJlcbTRrJi6BYLfXKXmtaU6/sN6NBJdLe2nM5NZ41pmPcSCPaWvPePD5KOFet1fvqWb4vvrvF\nMClEa1nas1ou11uNZd7q1cLC7Pxi39f+8i9uO/7Si9mXv/zld8SaJz0xJeRU6jEeUygdj8DYQnxf\nz0bP8YUPfvCD544ePTr45JNP3hUjyL4/N1Pzph4JECBAgEAXCSytl6S6VwSP8jGaLKpu69lSbexa\n9W1N9YRYR7b6qU996vTMwkLfvX/nw3svTUyO/vU3/mr31MRk4bnvPNlY8+vFp56MKbNns5mp6RgN\nVyy+9q533R6zCkx89KMffS0FxlK9pHmd+L3P/eAP/uC5mEqxJ0aO3Rqjwvtjqu/9Uc/si8DY/vg8\nrZXa09vXV5+r1C/tP3Q4u/0d78n39Q+sJ+ONc1ZTT0oj5nNR527sG4nCrTuVTiRAgAABAgQIENgK\nAgJjW6GUpJEAgW0tkEY8xdQ08zElYG8z6JOmQIxlE7LxfbfU+waHI0yVYj/Xh8ZipFg2cepUVikv\n5tKaYr1xnWiIuZh6L8eaYvMxpWLjeulaaZrGWDh98cEHH5xshx0Lvsd1ytfWhBgYHGp32E15r1ar\nZhMXL2Y9se5ENfK03BaNL/nomTwYeR2MwF8sFZarpzW7Ul7XM2psuft0ej9GVsV6HaPZ0PR0Yz25\n1At78tKlbGBwOIJcy7eDpekeo1FpIKYkGkhpj8BcNdK+uGfPnsU3I0jXKZ+pZ3m5vBBTIV0ufvep\npw6cfe1kNdZ4Ox/rn5Xf/e53H41A2HyMULyUpnCMEY4zESCrRKPaYpTPte9xp3v4nAABAgQIbDaB\narUWv+sXsr6eYvwOLv+7frVeMhC/ewPNesmOHTvm05quaf2tFCBLv+/1ei0Xa6KWhsYupnrC9ZW5\nlsxXY7TZ5Vg7deLypdRJadX1hBTMSuvLpkBW1Pd6Fqv1vkL/aH14dLR2570PZvF+tvfgrdnC3Fz2\n9off35ji8Mn/78+zuehI9dqpU3vSiLDnnntuOHXSiaBYJSUpXSd1skq/7Wm65/e9731nIiBWPHz4\n8ESatjuma3wl7tn31FNPHYrr9x57+aXBWAQ2f+nsmdxwTNU4MDQc69aOXqknRf1y6tLF3ER/X3Ta\nWr6et9XqSS1F5ykBAgQIECBAgMAmFBAY24SFIkkECBBoFUhBnf3798/HNDXXBRTSAuW79u6vDwyP\n1mtZapi5vi2lsriQzZw7m81H7+QIuPT1XJkesJ6mwIlGmWuBsWjoyEfQrT+CSIupkSYudF0rTwq5\npfUgUoBn6uqaEBvp7duat9U8j8XCIjB2IStF798UnFtuSw0mEdwbjMaawSuBw2I1jVKKBpuFtM7H\ncufd6PdTwHIopg0ajN7W0eCVlSMYNnnpYgTGhlYMjCX7WG+kPxqS+iNNsVZ8vpbSHkHRhdRwdqPT\nudHrpUGD5cX5+E5MFr/3vZcPXj5/dvGhhx56NoJjE//yX/7Lb0ZQbC41xiWDtKXnqad8lFHfRu/t\nfAIECBAg8GYJNOsljQ47UTdabkv1klOnTl2rl6QpmqODyHzU6eaiLlZJAaTUESYFmKKe0HM56jq1\n6pVps9tdMw7MXbo80Xd5MvowxY/wausJKR1RtyjG2p+FF198cShfKvXsufvtucHBkfpd9++JK12p\nPzY6vETdMaUjrSd75uSrhb/+yuN7Lkfd5NixY0PR8aUW69HOpeul66SOVjEifDKNJIspk8+0/t5H\nMK0Yxwz883/+z4tpmsUYSbZjemqydOHs2ajgFLL+mA48rb+bzolhaFkK9vX39TXqmu3ynt7bavWk\n5fLhfQIECBAgQIAAgc0hIDC2OcpBKggQILCsQAqMRdCqEns5Aj2T0bAx+PLLL++ZLVdzP3T+TKme\n1XO9EXTJ51sbNhZjSpxL+S9/8Y/HJi6c7Z+7dK4yNDg4Hb2XX07Xuv3226fn5+cLMd1ddORd7Ike\nvfsjODb48Y9//FR8Xk2NLc2pehajB/FLzz2dnT55MpudmsoWFxYa61Asm+Ab/EE0wGSnXz2ezU9P\n5p55+umh1IL01rvumooGmkawKAVcUk/oWMui/9vf/va+6Jk9kkYtxUiluWjAmYney7Nv5IixQqEn\ni17Y2XCMGBvbsasRFPvec9+NANKl7Ac+9JHoYd6b1UspNnSlvMI/d/r06b40xWA0PO2OvMSAs9HJ\n2Kf7+/urKe0pj5ttS8HS6cnJ3EwES6ORMNr2cvXoAT8X6Z5rF4iM71v+L//yL8efeeaZ0cjPtXmg\nNlu+pIcAAQIECKwkkDoKnT7xSrY4N5P73vPPDWTVxfLb735LrhiBnbSl3+wIDJViFHv/t771rVtS\nYCh+y6upXhLTEs7FKOrZ+L1MgbFCBMhm5+bncy8999zo9Oxs7v1TU/lS1BOKvT1RS7hST0jXm5ma\nyC6cP1t45dixsbOnTtXit3Yq7aupJ6RA1ve+973BlJ7f+q3fuqeWy/d+6Md+PNu5Z1/P7e96X76n\n98rMxvE7nhVi1HtP3H98z77o/LIYr2MJ26t5isBU4zrR2ao3XSeum//whz/8cnTgmfuxH/uxUzEa\n7lqUMNUDUh6jg89MnFe8Uq9M8bwIw8VCaUMjI9nC/NyVelJ2Mfves0/nL589nT//0UeKO0eHi2kk\nWjPQtlXrSQ04/yFAgAABAgQIENi0AgJjm7ZoJIwAAQLfF4jGhnIaPRSBsekUVIhRN3vmK7XCxQvn\nC6W+/izWGYs41pVYQwTKsnIEr6L3ceFrf/5nYxfPnK6MDA5kcX7v7OxsIQWUoofvVGrgiOeVCFj0\nRqBtbxqplKbyiRE/CxEwu3bz+YW57OizT2dnTr2WzUxfCYxF08a1z2/2k9QAdSoCY9OXL+aPRcNO\nX6lUORQBr0h7Y2RbavCJBqhCmtbn+eefP5ACSykwFo0qcykodscdd8y9kYGxNGJseGQsG5mZzUZi\nuqCF+fnU4NPogT0bwbLhaAyq17+/vFZKfwT1+iIoNhg9y3dFGfVH4PJETKE40QwwNRuHbrb1Wq7f\naKibnsymY49YZTo1TdE5G+meTb3I0xut6U5r20Xgckd810Yjz4XUONbc0rVsBAgQIEBgKwhUY3rp\n0ydezeamp3KvHHu5v1TILd57+2257GrdqVkviQ5HPS+88MKBmCJ5OH4Xq2ntzUOHDs3cfffdM+n3\nPY2qSnWVqI+Vjh/93sjMwnx+dnoqPzg8khV6StfWHE2/kdMTl7PL58/lXzv56o4YoZ06OK26nnB1\nSsf+SMtorAX6YISmekd27Tlx4PBbsoP3vetaYCzZp9kIShEo27l7T3SEmo/1cSMwdnUa6EhnPjof\npfXDhtN14re/EIG5cnRCmvjQhz50thkYS7/9kddamnYxAoGxpNnCtcBYukf6PE2jmAJvV+pJc9nL\nzz1TOD8yUrxw7mxhet/eQgQRUyetRkVhq9aTUl5tBAgQIECAAAECm1dAYGzzlo2UESBA4DqBCDqk\ntZuOR/Bk5Gtf+9q9E5cuFv/s9387Pza+O3f7PfdlvREgK/X0pDXFsmMvvpBdOn82NaIUYn2wcgTC\nXj148OBEaqRIDQ3REFNNU/TF1DevREBpJHoz74weuaVf+ZVfeSACGzMRTJoolkq5qbnF8cmZ6aG/\nfeqZYkyZFw0dcY9iKctHw0nM9ReNNt9P4uzsTOELj//l3vPnzhS+/vWv35I+efjhh0/FtI0LsTh7\ntHeMXDdF4/fPXPlZswElejT3/OEf/uE9X/3qV2eiB/aJyEM5Gpaq0eBSiBFvuyKol9bnSmtg5O+5\n557j0RgzGYHE8hsZFGvmJB/TPvYPDGQP/sD7szOvncj+5quPZxdivbc/+b3fjN7RO/O3HzgwWirm\ni/WZy7fPTk3Wv/GNb+yP9A9G408pjeK7//77X43Gs4kUEG1ec7M9pjyOjO2sz8QowoHBgYXoOV+N\nqZIORtB2LL5rM2m6zmgIjOKo5aIRbSjKpje+F7fGdJGDKS9RrrX4Lo9Fw1r+6aefHomAYPHOO++c\n2Wz5lB4CBAgQINAqkEZW9Q8MRtCoWPriH/3BbVHXmHn+O09WY2R+mrq5US+J37VGvSR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PGLv/iL34rHDU1Xt2IifbgZBdQ3NmOpSBMBAgQIECBAYI0CbXvhrPEaDidAgACBLSoQwa3a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\nRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 104,
     "metadata": {
      "image/png": {
       "width": 540
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image('graphics/Bayes Factor DAG.png', width=540)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " [-----------------100%-----------------] 200000 of 200000 complete in 112.7 sec"
     ]
    },
    {
     "data": {
      "image/png": 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F/ccA9wEHAYuB24CjbN/TsM2bqHp7LK+71n/W9v7Nx0o9ExGx5vpyTJakrWwv\nBc6ui97WtImBMWv74vWxl9bLT0u6h6rxdChwQL3Z+VT35DqFqqF3se3ngYWSFgD7SXoI2Nj27Hqf\nC6gaa9fWx/pMXX5Fw+8SERH97wSquuq0QZ7bsYX99wUW2F4IIOkSqrpoRSPL9s8atr8V2G5tw0ZE\nRH9YXXfB+wFsr2N7HeDfB5brx1o3sJpJ2gF4A1UFtaXtgW8cl1ENWAbYBljUsNsiqkZZc/niupz6\n58P17/ECsFzSy5rEpfWVL1H663ZexmR1Xs7jstjewfaOgz1aPMSKOqQ2UO8M5VjgmsGeKK2eKfFc\nLy1zaXmhvMyl5YVk7herm12w+TLagZ0IUXcVvAI4yfZT0sqXrbsCrr5PY0RERPu1XP9IegvwIeBP\nOhcnIiJK0NIU7p0kaV2qBtaFtq+si5cNdFWUtDXwSF2+GJjUsPt2VN8qLual3TMGygf2mQwskTQW\nGG/78eYcCxYs4Ls//DgTt6kOs+G4jdlxl13Zbe+qW/1ACz3rw1sf0Ct5+ml9g7FjmD7tAOY/+mxP\n5OnX9d323r+n8vTD+tUXfZ2F99+z4vN33122Z9q0abSDpPHAZ6m6oL+SlT04bHtyC4dorncm8dKe\nEwOv83rgq8B0208MdqDS6pmBsl7J06/1TGl5s556ZrD1gbJOHf/mm28GYOrUqWu1PmvWLObOncvk\nydXH/sSJE9tWzwxllRNfSHoWeOfAKnAlVV/0FVoZOLyK44tqzNVjtv9bQ/mZddkZkk4BJjRNfLEv\nKye+2Lm+2nUrcCIwG/geL534Ynfbx0uaARyeiS+iH2Xii+gXbZ744t+oGkZfAi4EjgY+Dlxh+59b\n2H8s1cQX04AlVHVM88QXk4EfAO+zfcugByL1TETE2ih14ovVjcl6BDivfnwNeKxhfeAxHH8CvA94\ni6Q768d04HTgbZLuB95ar2N7HnAZMA/4PjDTK1uJM+uM86kGKV9bl58HvFLSfOCjVBNovExpfeVL\n1PytXbRfxmR1Xs7j4rwd+Mu6p8SL9c8jqOqe1arH8p4AXEdV91xq+x5Jx0k6rt7s08CmwKy6Hps9\n2LFKq2dKPNdLy1xaXigvc2l5IZn7xSq7C9reoZMvbvtmhm7oHTTEPqcxyCxR9c2Rdx+k/DmqCjUi\nIkYfAcvr5afq+y7+BpjS6gFsf5/qi73GsnMblv8a+OvhR42IiH7R0n2yRoN044jSpbtg9Is2dxf8\nAfB52zeR8zDSAAAK6ElEQVTV06//EXgG2Mv2G9vxGq1KPRMRseb6tbtgREREyT4MLKyXTwJ+D4wH\njulWoIiI6H9pZNVK6ytfovTX7byMyeq8nMdlsf2A7Qfq5WW2j7V9ZD3Gd0SVVs+UeK6Xlrm0vFBe\n5tLyQjL3izSyIiKi70h6o6TdG9YnSrpI0i8knVvfnzEiIqIjMiarlr7yUbqMyYp+0Y4xWZJuBj5n\n+4Z6/d+BbahuG3IU8Avbxw877BpIPRMRseZKHZPV9ZsRR0REdMBrgZ8ASNoUOATYzfZ9dYPrZ8CI\nNrIiImL0SHfBWml95UuU/rqdlzFZnZfzuBhjgOfq5f2ApbbvA7D9MDBhpAOVVs+UeK6Xlrm0vFBe\n5tLyQjL3izSyIiKiH81j5T0SZwA3DjwhaVvgyW6EioiI0SFjsmrpKx+ly5is6BdtGpM1FfguYKp7\nY021fW/93MeA/WwfOeywayD1TETEmsuYrIiIiB5h+2ZJk4FXA/fZfqrh6e8Bl3QnWUREjAajprug\npOmS7pU0X9LJzc+X1le+ROmv23kZk9V5OY/LYft3tn/e1MDC9n22l7R6nNXVH/U2Z9XP3yXpDYNt\nU1o9U+K5Xlrm0vJCeZlLywvJ3C9GRSNL0hjgbGA6sCtwlKTXNm6zYMGCbkQbVR68b8Tv/Tnq3Dvv\n7m5H6Hs5jzuvlxojrdQfkg4BdrY9BfgbYNZgxyqtninxXC8tc2l5obzMpeWFZB4JI1HPjIpGFrAv\nsMD2QtvPU3UTOaxxg2eeeaYrwUaTZ59+avUbxbA89bvfdTtC38t53Hl33XVXtyM0Wm39ARxKdf8t\nbN8KTJC0ZfOBSqtnSjzXS8tcWl4oL3NpeSGZR8JI1DOjpZG1LfBww/qiuiwiImJVWqk/Bttmuw7n\nioiIHjZaJr5Y7RSKS5cuZYuN1huJLKPW7x75Td7jDlpvjFiy6OHVbxjD8siSRd2OECOr1Sl4m2ep\netl+S5cuHX6aEVTiuV5a5tLyQnmZS8sLydwvRksjazEwqWF9EtU3jSvstNNOfPULn1qxvscee7Dn\nnnuOTLpR4qA/3Z8/LLm/2zH61h+AP3vTfoxfvrDbUfraO9/yJ3mP22zOnDkv6bqx0UYbdTHNy6y2\n/hhkm+3qspfYaaeduPKsz61Y7/V6psRzvbTMpeWF8jKXlheSudkddwz/uN2oZ0bFfbIkjQXuA6YB\nS4DZwFG27+lqsIiI6Gmt1B/1xBcn2D5E0v7Al23v35XAERHRE0bFlSzbL0g6AbgOGAOclwZWRESs\nzlD1h6Tj6ufPtX2NpEMkLQCeAT7YxcgREdEDRsWVrIiIiIiIiJEyWmYXfAlJm0m6QdL9kq6XNGGI\n7RZK+oWkOyXNHumcJWrXTTtj1Vb3Pks6UNLy+ty9U9I/dCNnqSR9XdIySXNXsU3O42FY3XvcT+dw\nK5+LHXztSZJ+KOmXku6WdGJdPmQ9KOnUOuu9kg5uKN9b0tz6ua80lK8v6dK6/BZJ27ch95j63/3q\nQvJOkHS5pHskzZO0XwGZT63Pi7mSLqpfo2cyD/YZMVL5JL2/fo37JR0zzMz/VJ8Xd0n6jqTxvZJ5\nsLwNz/2dpBclbdYreVeVWdLf1u/z3ZLO6InMtkfdAzgT+ES9fDJw+hDbPQhs1u28pTyoutIsAHYA\n1gXmAK9t2uYQ4Jp6eT/glm7nLu3R4vt8IHBVt7OW+gD+FHgDMHeI53Med/497otzuJW/1w6//lbA\nnvXyOKrxZa8dqh6kuuHynDrrDnX2gV4vs4F96+VrgOn18kzgnHr5SOCSNuT+GPCtgXOggLznAx+q\nl8cC43s5c/26vwLWr9cvBd7fS5kZ5DNiJPIBmwEPABPqxwPAhGFkfhuwTr18ei9lHixvXT4JuJaG\n/wf3Qt5VvMdvAW4A1q3Xt+iFzKPyShYNN46sfx6+im2bp+WNobXtpp2xSq28z5Bzd63Z/gnwxCo2\nyXk8TC28x9Af53Crf68dYXup7Tn18tPAPVT39RqqHjwMuNj287YXUv2nZD9JWwMb2x7o1XFBwz6N\nx7qCapKQtSZpO6ovMr7GynOgl/OOB/7U9tehGsdne3kvZwZ+BzwPbKhqcpcNqSZ26ZnMQ3xGjES+\ntwPX237S9pNU/3mfvraZbd9g+8V69VZW3kOv65lX8Tn8z8Anmsq6nncVmY8HvlB/xmL7t72QebQ2\nsra0vaxeXgYM9Z8jAzdK+rmkD49MtKLlpp0jo5X32cCb6+4J10jadcTSjQ45jzuvX87hVv5eR4Sk\nHai+Ab6VoevBbXjpFPUDeZvLF7Py91jxO9p+AVje2MVoLXwJ+DjwYkNZL+fdEfitpG9IukPSVyVt\n1MuZbT8OfBH4NVXj6knbN/Ry5lqn871yFcdqhw9RXTXp2cySDgMW2f5F01M9mbc2BfizunvfjyS9\nsRcy9+3sgpJuoOom0exTjSu2LWmo2T/+xPZvJG0B3CDp3roFHYNr2007Y5Vaeb/uACbZflbSO4Ar\ngVd3Ntaok/O4s/rlHO6J80LSOKpvZU+y/ZS08vRdTT04oiS9E3jE9p2SDhxsm17KWxsL7EU1jf9t\nkr4MnNK4Qa9llrQT8FGqLlTLgW9Lel/jNr2WuVmv52sm6VPAH2xf1O0sQ5G0IfBJqi6OK4q7FGdN\njAU2tb2/pH2Ay4BXdTlT/17Jsv0227sP8rgKWCZpK4D6kuEjQxzjN/XP3wL/l6rbRwytbTftjFVa\n7fts+ynbz9bL3wfWbcM3iLFSzuMO66NzuJXPxY6StC5VA+tC21fWxUPVg4Od24vq8u0GKR/YZ3J9\nrLHA+PpKydp4M3CopAeBi4G3Srqwh/NSH3eR7dvq9cupGl1LezjzG4Gf2n6s/rb+O8CbejwzdP48\neGyQYw37b1bSB6i6wL63obgXM+9E1fC+q/4b3A64ve4O34t5ByyiOoep/w5flLR5tzP3bSNrNa6i\nGuBJ/fPK5g0kbShp43p5I+BgYMiZxgKAnwNTJO0gaT2qAYNXNW1zFXAMgKqbdj7ZcOk/WrPa91nS\nlqq/qpa0L9VAz+FWbrFSzuMO66NzuJXPxY6p38PzgHm2v9zw1FD14FXADEnrSdqRqhvObNtLgd+p\nmjVPwNHAvw9yrPcAN61tXtuftD3J9o7ADOAHto/u1bx15qXAw5IGrrQeBPwSuLpXMwP3AvtL2qB+\nrYOAeT2eufmYncp3PXCwqhkjN6W6qnPd2gaWNJ2q++thtn/f9Lv0VGbbc21vaXvH+m9wEbBXXb/1\nXN4GVwJvBaj/Dtez/WjXM3uYM+qU+KCaIeRG4P76TZtQl28DfK9efhXVjCRzgLuBU7udu4QH8A6q\n2asWDLxnwHHAcQ3bnF0/fxfVH2/Xc5f2WN37DPzX+rydA/wU2L/bmUt6UH2DvgT4A1Xf7A/lPB7Z\n97ifzuHB/l5H8LWnUo1tmgPcWT+mD1UP1vt8ss56L/D2hvK9qb5sXACc1VC+PlX3nPnALcAObcp+\nACtnF+zpvMAewG3158F3qGYX7PXMn6BqDM6lGui/bi9lHuQz4oMjla9+rfn14/3DyPyh+hgPsfLv\n75xeydyQ97mB97jp+V/RMMt2t/MOlbk+dy+sM9wOHNgLmXMz4oiIiIiIiDYard0FIyIiIiIiOiKN\nrIiIiIiIiDZKIysiIiIiIqKN0siKiIiIiIhoozSyIiIiIiIi2iiNrIiIiIiIiDZKIysiIiIiIqKN\n0siKiIiIiIhoo/8PENCZK2avjuMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12ba38438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with pm.Model() as model:\n",
    "    \n",
    "    # Index to true model\n",
    "    prior_model_prob = 0.5\n",
    "    #tau = pm.DiscreteUniform('tau', lower=0, upper=1)\n",
    "    tau = pm.Bernoulli('tau', prior_model_prob)\n",
    "    \n",
    "    # Poisson parameters\n",
    "    mu_p = pm.Uniform('mu_p', 0, 60)\n",
    "\n",
    "    # Negative Binomial parameters\n",
    "    alpha = pm.Exponential('alpha', lam=0.2)\n",
    "    mu_nb = pm.Uniform('mu_nb', lower=0, upper=60)\n",
    "\n",
    "    y_like = pm.DensityDist('y_like',\n",
    "             lambda value: pm.switch(tau, \n",
    "                 pm.Poisson.dist(mu_p).logp(value),\n",
    "                 pm.NegativeBinomial.dist(mu_nb, alpha).logp(value)\n",
    "             ),\n",
    "             observed=messages['time_delay_seconds'].values)\n",
    "    \n",
    "    start = pm.find_MAP()\n",
    "    step1 = pm.Metropolis([mu_p, alpha, mu_nb])\n",
    "    step2 = pm.ElemwiseCategoricalStep(var=tau, values=[0,1])\n",
    "    trace = pm.sample(200000, step=[step1, step2], start=start)\n",
    "\n",
    "_ = pm.traceplot(trace[burnin:], vars=['tau'])"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "We can calculate the Bayes Factor for the above two models using the below formulation:\n",
    "\n",
    "$$Posterior Odds = Bayes Factor * Prior Odds$$\n",
    "\n",
    "$$\\frac{P(Data \\ | \\ M_{1})}{P(Data \\ | \\ M_{2})} = B.F. \\times \\frac{P(M_{1})}{P(M_{2})}$$\n",
    "\n",
    "In the above example, we didn't apply prior probability to either model, hence the Bayes Factor is simply the quotient of the model likelihoods. If you find that your MCMC sampler is not traversing between the two models, you can introduce prior probabilities that will help you get sufficient exposure to both models."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Bayes Factor: 1.54103775982\n"
     ]
    }
   ],
   "source": [
    "# Compute the Bayes factor\n",
    "prob_pois = trace[burnin:]['tau'].mean()\n",
    "prob_nb = 1 - prob_pois\n",
    "BF = (prob_nb/prob_pois)*(prior_model_prob/(1-prior_model_prob))\n",
    "print(\"Bayes Factor: %s\" % BF)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A Bayes Factor of >1 suggests that $M_1$ (Negative Binomial) is more strongly supported by the data than $M_2$ (Poisson). Jeffreys' scale of evidence for Bayes factors interprets a BF of 1.60 as there being weak evidence of $M_1$ over $M_2$ given the data. Combining the posterior predictive check and Bayes factor I will conclude that the Negative Binomial is a better model for the given data.\n",
    "\n",
    "| Bayes Factor                            | Interpretation                      |\n",
    "|-----------------------------------------|-------------------------------------|\n",
    "| BF($M_1, M_2$) < 1/10       | Strong evidence for $M_2$   |\n",
    "| 1/10 < BF($M_1, M_2$),< 1/3 | Moderate evidence for $M_2$ |\n",
    "| 1/3 < BF($M_1, M_2$) < 1    | Weak evidence for $M_2$     |\n",
    "| 1 < BF($M_1, M_2$) < 3      | Weak evidence for $M_1$     |\n",
    "| 3 < BF($M_1, M_2$) < 10     | Moderate evidence for $M_1$ |\n",
    "| BF($M_1, M_2$) > 10         | Strong evidence for $M_1$   |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### References\n",
    "1. Jeffreys' scale of evidence, Humboldt University of Berlin. [Link](http://fedc.wiwi.hu-berlin.de/xplore/ebooks/html/csa/node124.html)\n",
    "2. Model checking and diagnostics, PyMC2 Documentation. [Link](https://pymc-devs.github.io/pymc/modelchecking.html)\n",
    "3. Compute Bayes factor using PyMC3, Chris Fonnesbeck. [GitHub Issue](https://github.com/pymc-devs/pymc3/issues/812)\n",
    "4. [Doing Bayesian Data Analysis](http://www.amazon.com/Doing-Bayesian-Analysis-Second-Edition/dp/0124058884/ref=dp_ob_title_bk) by John Kruschke"
   ]
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