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 parameters 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 a very intuitive technique. You'll recall in the previous section we estimated the parameter $\\mu$ of a Poisson distribution by collecting 200,000 samples from the posterior distribution of $\\mu$. Each of these samples was considered to be a credible parameter value.\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 convenient 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 considers 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": 1,
   "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": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Applied interval-transform to mu and added transformed mu_interval_ to model.\n",
      "100%|██████████| 200000/200000 [00:30<00:00, 6546.68it/s]\n"
     ]
    }
   ],
   "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": 3,
   "metadata": {
    "collapsed": false
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   "outputs": [
    {
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cZVlwXlkWnFdW7+r1Ge/dgN8DVwO/LNk2BHgHcCGwBBgKzAZuAkYV1bsMOAE4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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106adf350>"
      ]
     },
     "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 the 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 this is not the case.\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 it 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": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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sfQ7uVF9//TVXXnkl5513HgcffHDGPv/+97854IAD2G233VLaDz/8cADeeecd\nunTpklVMdS3XdbqfN7NRwKtm9h7wGbC9Yjev/hsSERERERGRglFUVMTxxx/PE088kVXR/dprr3Hq\nqadW28/MWLRoEXvvvXeV/e6//35KS0v529/+VmmfsrIyOnXqVKG9U6dOuDuff/55tfHUl1xnLx8A\n/AVoBuwNtM7QzWsRF2Y2AhgNdAYWAyPd/Y0q+h8H3AZ8B/gUuN7dH0jrMwq4iOCZ9C+BWcA4d/+q\nNrFKwxKLxXj44YejDkMipjyQkHJBQHkgAeWBhJQLcPLJJzNu3Di2bNlCixYtquzbs2dPZs+endVx\n99yz6ufOV69ezY033siYMWPYfffdK+23efNmWrZsWaG9VatWO7YXilxvL78ReB8Y4O5L8xgPAGY2\nkKCAvhB4HbgMeNrMvu3uX2bo3xV4ErgbiAE/AaaZ2fJwsjcziwGTgF8BrwLfBmYAXxMU99JEXHDB\nBVGHIAVAeSAh5YKA8kACygMJNfVciMfjlJSUsGXLFkpKSjjppJOq7N+mTRt+9KMf5eWzr7vuOvbY\nYw+GDh1aZb9WrVrx1VcVr52GxXZYfBeCXIvuLsCYuii4Ey4D7nX3BwHM7CLgFGAIcHOG/hcDH7n7\nFYn375vZsYnjhDOs/wB4yd3/O/H+UzP7K9CrjsYgBap3795RhyAFQHkgIeWCgPJAAsoDCTXlXNi6\ndStDhw7lyiuvZM2aNTzxxBPVFt1bt25l9erVWR2/Q4cO7LRT5vm8P/roIx588EEmTZq04/Zwd2fz\n5s1s3bqVzz77jNatW9OuXTs6derEF198UeEYZWVlAOy1115ZxVMfci263yC4RTvvzKw5cASwY5o6\nd3cze5agcM7kaODZtLangduT3r8CnGtm33f3N8xsf+Bk4AFERERERESaOHfnwgsv5OSTT6Znz570\n79+fiRMnsn37dpo1a1bpfq+//npenun+/PPPcXeuvPJKxo4dW2H7YYcdxrBhw7j++uvp2bMnL7/8\nMhs2bEiZTO3NN9/EzPjud7+bxYjrR65F90jgCTN7y90fzWdAQAeCZ8XL0trLgO6V7NO5kv5tzKyl\nu3/l7o+YWQfgJQumy2sG3OPuN+UxdhERERERkQbpsssuo02bNpx77rkAnHLKKYwZM4bnn3++yqv/\n+Xqm++CDD2bmzJkV2q+77jo2btzIjTfeyH777QfAqaeeyp133skDDzzAiBEjANiyZQuPPPIIRx55\nZMHMXA7LTA+jAAAgAElEQVS5r9P9EEHB/oiZrTWz/zWzt9Nei/MYZ60lJlr7LcFEaocBPwf6m9nv\nqtrvjjvuoFevXsRisZRX3759mTt3bkrfkpISYrFYhWOMGTOmQvIsXryYWCxGeXl5SvukSZOYMmVK\nSltpaSmxWIylS1Pv5r/vvvsYP358Sls8HicWizF//vyU9uLi4h3JmGzIkCFNbhxnnnlmwY7jN5eO\nZcXSjSltXy6Ls3BW+u+UMn8f6774ioWzytgST11M4MMXVzP93hkpbZvWbmPhrDI2lm9Jaf/0zbW8\nX7KqwjguGTaK1Z+lTkjx+bsbeGfuygqxZfo+KhvHe//8ktLF61Pa6uP7SI5Pfz+a9jiGDBnSKMbR\nWL6PqMaRPJaGPI5kGkfNxzF37txGMQ5oHN9HlONI7h+OY/v29MWaGpdrrrmGt99+m1tuuWVHW8eO\nHTnqqKOYM2dOlfuGz3Rn86pqUrY99tiDfv36VXi1b9+e3XbbjZNOOmnHEmJHHHEEp512GhMnTmTC\nhAk88MADnHrqqXz22WdMmDChRmMvLi5m4MCBdO/enX79+hGLxRg8eDAlJSU1Ok5lzL3mk4yb2b/I\nYnZydz8+h2M3B+IEk7TNSWqfAbR199Mz7PM8sMDdL09q+xVwu7vvnnj/AjA/6blvzOxcgmfHdyOD\nefPmHQ4s6NGjB0VFRTUdihSoIUOGcP/990cdRkbLyz/m8ukDqu03+fxiurTv2mj2Sd+vPhRyHkj9\nUi4IKA8koDyQUKZc+M9//sMBBxyQsf/2dSvwTWvrI7RK2S5tadam6pnBK7Nu3Tp+/OMfM2fOHPbZ\nZ5+UbbNnz2bMmDG88847kU1Oduqpp7J69WpefPHFlPYtW7Zwww038Nhjj7FmzRoOOeQQrrrqKo47\n7risjlvVdxqPx1myZAnAEX369HmrNvHnuk73cbX50GqOvdXMFgB9gDkAidvB+wBTK9ntVaBfWlvf\nRHuoCNiW1ufr8Piey28fpEHSP6aFbc3GcuKb11ffEShq1Zp2u7bP6XOUBxJSLggoDySgPJBQTXOh\nWZs9IceCtxC0adOGhQsXZtx2+umnc/rpFa571qvKrrS3aNGCCRMm1PjKdn3L9ZnuujYZmJEovsMl\nw4oIlvjCzCYBXdz9l4n+9wAjzOwm4H6CAv0MgonSQk8AlyVue38NOAi4FpijglukcMQ3r6/R1fFc\ni24RERERkfpQkEW3uz+amPTsWqATsAg40d3Dh0c7A/sk9f/YzE4hmK3810ApcL67J89oPpHgyvZE\n4FvASoIr6VU+0y0iIiIiIiKSq4IsugHc/W7g7kq2Dc7Q9gLBUmOVHS8suCfmK0YRERERERGRquQ6\ne7lIg5VpVktpepQHElIuCCgPJKA8kJByQfJJRbc0OVWtMShNh/JAQsoFAeWBBJQHElIuSD6p6JYm\nZ8CA7CbpksZNeSAh5YKA8kACygMJKRckn3Iqus3sPTP7rZntl++ARERERERECo0WPGp86us7zXUi\ntc+Aa4BrzewV4EHgMXePdkV4kQKS7XrTtVlrWkRERETqR7NmzdiyZQstWrSIOhTJgy1bttCsWbN6\n+aycim5372tmnYBY4nUfcIeZzQVmAn939635C1Mkf+bPn8/RRx9d55+T7XrTWms6GvWVB1L4lAsC\nygMJKA8klCkX9txzTz755BM6d+7MbrvthplFFJ3UhruzYcMGvvjiC7p06VIvn5nzkmHuXkawLvbt\nZtYd+AVwDnA6sMbM/hv4i7u/kpdIRfJk6tSp+gdVlAeyg3JBQHkgAeWBhDLlwq677kq3bt344osv\nWLFiBe6uwruBCb+zli1b0q1bN3beuX5W0M7Lp7j7+8DvzewuYApwJnARMMzMPgL+APwxsVa2SKSm\nTZsWdQhSAJQHElIuCCgPJKA8kFBlubDzzjuz995713M00tDVuug2s10Jrm7/Agjn1n+S4DnvLcCF\nwFTge8Cw2n6eSG0VFRVFHYIUAOWBhJQLAsoDCSgPJKRckHzKqeg2s2bAiQSF9qlAEbAA+A3wiLt/\nmdR9jpndAIxARbeIiIiIiIg0Ible6f4C2AP4P+AO4EF3f6+K/m8DrXP8LBEREREREZEGKad1uoG5\nQF9gP3cfV03Bjbv/1d1z/SyRvBo/fnzUIUgBUB5ISLkgoDyQgPJAQsoFyadcC+H7gbe9ktXEzayD\nmf0o97BE6o4mvxBQHsg3lAsCygMJKA8kpFyQfMq16H4OOKGK7X0SfUQKzoUXXhh1CFIAlAcSUi4I\nKA8koDyQkHJB8inXZ7qrW5CuJbA9x2OLiNTImo3lxDevz6pvUavWtNu1fR1HJCIiIiISyLroNrN9\nga5JTT0quYW8HcEs5Z/UJjAzGwGMBjoDi4GR7v5GFf2PA24DvgN8Clzv7g+k9WkL3ECwxNkewMfA\nKHd/qjaxiki04pvXc/n0AVn1nXx+sYpuEREREak3Nbm9fDDwL4Lbxh24KvHn9NfjQC9gUq5BmdlA\nggL6auAwgqL7aTPrUEn/rgRrg88DDgWmANPM7ISkPs2BZ4F9gZ8D3waGEszALk3I0qVLow5BCoDy\nQELKBQHlgQSUBxJSLkg+1aTofhQ4ExhIcHv5HcBZaa8zgX7A3u5+fy3iugy4190fdPclwEVAHBhS\nSf+LgY/c/Qp3f9/d7wJmJY4TOp/gKvzP3H2+u3/q7i+6+79rEac0QBMmTIg6BCkAygMJKRcE4Orf\njWNb2QfVvravWxF1qFKHdD6QkHJB8inr28sTy4K9B2Bmg4EX3H1ZvgNKXJE+guA28PCz3cyeBX5Q\nyW5HE1zFTvY0cHvS+58CrwJ3m9lpwErgYeAmd/86T+FLA3DzzTdHHYIUAOWBhJQLjc/2dSvwTWur\n7We7tKVZmz0BmDRuFCsnHVXtPh3HvQaJfXL5HClsOh9ISLkg+ZTTRGrpz0rnWQegGVCW1l4GdK9k\nn86V9G9jZi3d/Stgf6A38BeCq/EHAn8k+BlMzE/o0hBoCQgB5YF8Q7nQ+PimtTUuoPfu0pmV9fA5\nUth0PpCQckHyKaui28zuJ3iO+0J33554Xx139/NrFV1+7URQiF+YWF98oZntTTBZm4puERERERER\nybtsn+nuDRyf1D98X90rF18SLDfWKa29E/BFJft8UUn/dYmr3ACfA0sTBXfoPaCzmVX6y4c77riD\nXr16EYvFUl59+/Zl7ty5KX1LSkqIxWIVjjFmzBhmzpyZ0rZ48WJisRjl5eUp7ZMmTWLKlCkpbaWl\npcRisQoTOtx3332MHz8+pS0ejxOLxZg/f35Ke3FxMSNGjKgQ25AhQzSOOhzH9q1fs3BWGas/25zS\n/vm7G3hnbsVrKr+5dCwrlm5MaftyWZyFs9Jv5Mg8jnVffMXCWWVsiaeu2Pfhi6uZfu+MlLZNa7ex\ncFYZG8u3pLR/+uZa3i9ZldIWj8e5ZNiorMeR6fuobBzv/fNLShenLvdV1TiWzV+T0lZaWsolw0Zl\nNY7tW7/mkmGjGnxeNZa/HxqHxpHNOLavW8HHC1/knAGn8d6rz6Q8X33Pbdfzu9EjU561jsfjDBo+\nmgVpp5u5y+CqlyuElnEcLy+HESUV+058DR6aNSel7d3yoO/q1NMjdy6Cae+ktpWWlnLOWQOqHEf4\nWl/2SUF+H+E4GnpeaRwah8ahcSSPo7i4mIEDB9K9e3f69etHLBZj8ODBlJRk+McgB5ZagxYGM5sP\nvObulybeG8EyYFPd/ZYM/W8E+rn7oUltDwPt3P3kxPvrgXPcff+kPpcCY9w94/0j8+bNOxxY0KNH\nD4qKivI3QInUlClTuPTSS+v8c5aXf5zVMlaTzy+mS/uuTXqf5P3qa5/6ygMpfMqFwrat7IOsb+He\nudNBOe8z+brfc86Xd9X55+Syj9QfnQ8kpFyQeDzOkiVLAI7o06fPW7U5Vk1mL69Pk4GhZnaemfUA\n7gGKgBkAZjbJzJKfK78H2N/MbjKz7mY2HDgjcZzQH4E9zGyqmR1kZqcA44A762E8UkDi8XjUIUgB\nUB5ISLkgAJs2b66+kzR6Oh9ISLkg+VSQRbe7P0rwrPW1wELge8CJ7h7ex9oZ2Cep/8fAKcBPgEUE\nS4Wd7+7PJvUpBU4EjiRY9/sPBLOb31THw5ECM27cuKhDkAKgPJCQckEAxo68MOoQpADofCAh5YLk\nU7YTqX1NMJFaTbi75zQ7emLnu4G7K9k2OEPbCwRLjVV1zNeA/8o1JhEREZH6pqXJREQatmyL4mup\nedEtIiIisoOKx9xoaTIRkYYtq6Lb3SfUcRwi9aa8vJz27dtHHYZETHkgIeVC/Snk4rF89ZrqO0mj\np/OBhJQLkk8F+Uy3SF0aOXJk1CFIAVAeSEi5IACjrrou6hCkAOh8ICHlguRTts90n5f440x396T3\nVXL3B3OOTKSOjB07tsb7rNlYTnzz+mr7FbVqTbtd9VvRhiCXPJDGSbkgAGNGXABzXow6DImYzgcS\nUi5IPmX7TPcMgme6/wpsSbyvjgMquqXgHHroodV3ShPfvD7rNapVdDcMueSBNE7KBQH43nd6sHJO\n1FFI1HQ+kJByQfIp26K7G4C7b0l+LyIiIiKFR5PWiYgUjmwnUvukqvciIg1Nto8MgB4bEJGGp5An\nrRMRaWpyXkcbwMyaEayN3TXR9DGwwN231y4skbozc+ZMBg0aFHUYErGZM2fy8rqZWfXVYwONm84J\nuWlsV1IfmjWHvlEHIZHT+UBCygXJp5yLbjP7FTAJ2BOwRLMDK83st+5+f+3DE8m/t99+O+oQpAC8\n97/vwT5RRyGFQOeE3DS2K6lvv7uEvs2jjkKipvOBhJQLkk85LRlmZsOA+4HPgeFAn8RrRKLtT2Z2\nUb6CFMmnW265JeoQpAD8bsK4qEOQAqFzggDcNP6KqEOQAqDzgYSUC5JPuV7pHgu8CPzE3bcmtT9n\nZtOBEuAK4J5axiciIiIiIiLSYOV0pRvoDDyaVnADkGj7K9CpNoGJiIiIiIiINHS5XuleCHy7iu3f\nBhbleGwRERERqWfZTo4HDWeCPBGRQpBr0T0SmGtmHwH3ufsmADPbBbgIOAs4OT8hiuRXLBbj4Ycf\njjoMidglw0bRolfUUUgh0DlBAAYNH83kJj65YraT40HDmSCvpnQ+kJByQfIpq9vLzezt5BcwA9gO\nTAbWmNkyM1sGrAFuTWybUTchi9TOBRdcEHUIUgDO+cXAqEOQAqFzggAMOfeMqEOQAqDzgYSUC5JP\n2V7pXkWwHFiycuCDtLaPaxuQSF3r3bt31CFIATjmhz+geGnUUUgh0Dmh8a25nYvjjzmalS9EHYVE\nTecDCSkXJJ+yKrrd/bg6jqMCMxsBjCaYtG0xMNLd36ii/3HAbcB3gE+B6939gUr6ng08DDzu7j/P\nc+giIiINSmNbc1tERKSQ5Dp7eZ0ys4EEBfTVwGEERffTZtahkv5dgSeBecChwBRgmpmdUEnfWwD9\nPltERERERETqVK2KbjNrbmY9zexYM/tR+qsWh74MuNfdH3T3JQSTs8WBIZX0vxj4yN2vcPf33f0u\nYFbiOMnx7gT8BRgPLKtFfNKAzZ07N+oQpADMe+a5qEOQAqFzggD8/dnnow5BCoDOBxJSLkg+5VR0\nm9lOZnYTwbPei4DngecyvHI5dnPgCIKr1gC4uwPPAj+oZLejE9uTPZ2h/9VAmbv/OZfYpHEoLi6O\nOgQpAH9/8qmoQ5ACoXOCAMye+8+oQ2iQtq9bwbayD7J6bV+3Iupwq6XzgYSUC5JPuS4Z9ltgDHAv\n8BIwExhLMHv5cIJJ167I8dgdgGZAWVp7GdC9kn06V9K/jZm1dPevzOxYYDDB7efShN1///1RhyAF\n4LYpN3H59AFRhyEFQOcEAfjT7dezclL67++lOo1tmTGdDySkXJB8yvX28l8Bj7r7xUB4uWiBu/8J\nOIqg6C6YKf/MbDfgQWCou6+uyb533HEHvXr1IhaLpbz69u1b4baTkpISYrFYhWOMGTOGmTNnprQt\nXryYWCxGeXl5SvukSZOYMmVKSltpaSmxWIylS1OnWr7vvvsYP358Sls8HicWizF//vyU9uLiYkaM\nGFEhtiFDhmgcNRzHprXbWDirjI3lW1LaP31zLbfeeHtK2/atX7NwVhmrP9uc0v75uxt4Z+7KCrH9\n5tKxrFi6MaXty2VxFs5K/51S5nGs++IrFs4qY0t8e0r7hy+uZvq9M7Iex/slq1La4vE4lwwblfU4\nMn0flY3jvX9+Seni9VmPY9n8NSltpaWlXDJsVFbj2L71ay4ZNqpCXlU2jsWPr6jwfejvh8bRWMex\naRuMKIEFaX9N5y6Dq16uEBpDL7uKeZ+mtr28PDhGNuN4tzzouzr1tMKdi2Dqnx5MaVu+Iej7UdoE\n6w+9B7e+mdoWj8cZNHx01uPI9H1UNo6Jr8FDs+ZkPY5p76S2lZaWMmj46OzGsWlzxryqbBy/eb7i\nLfJVjaM4bf2ZxYsXM2j46KzGsXxDsK55el5lGkdledXQ/n40lr/nGofGoXFkHkdxcTEDBw6ke/fu\n9OvXj1gsxuDBgykpyXASzYEFd27XcCezzcCv3f2+REG7Dujv7n9PbL8MuNzd98nh2M0Jnt8e4O5z\nktpnAG3d/fQM+zxPUPRfntT2K+B2d9/dzA4F3iJYP9wSXcJfOGwHurt7hWe8582bdziwoEePHhQV\nFdV0KNKILC//OKuropPPL6ZL+67ap4b7JO9XyPus2VhOfPP66ncAilq1pt2u7bPqKxK1bWUfZD17\n+c6dDtI+TXyf5P1y2UdEpCGIx+MsWbIE4Ig+ffq8VZtj5Xp7eTmwG4C7bzCzdcD+aX12z+XA7r7V\nzBYAfYA5AGZmifdTK9ntVaBfWlvfRDvAEqBn2vbrE2P4NfBZLrGKSNMS37y+RoW6im4RERERyfX2\n8oXA95PePweMMrNjzOyHBIXs4lrENRkYambnmVkP4B6gCJgBYGaTzCx5De57gP3N7CYz625mw4Ez\nEsfB3b9y93eTXwTPn6939/fcfVstYpUGJtNtLtL0/G7s1VGHIAWisZ0Tsp3YqiFMalWffv3ba6MO\nQQpAYzsfSO6UC5JPuV7pvg/4VThJGXAVwbrXLxDcvr0aOCfXoNz90cSa3NcCnQhmSD/R3cOHLjsD\n+yT1/9jMTgFuJyj4S4Hz3V0zokgFvXsXzHQDEqH/OvYHPLvineo7SqPX2M4J2U5s1RAmtapPxx1z\nFLytJYKausZ2PpDcKRckn3IquhPPWs9Jev+umR0AHEfwjPQr7r6qkt2z/Yy7gbsr2TY4Q9sLBEuN\nZXv8CseQpmHAAM1YLXDyT0/i2el/ijoMKQA6JwjAz085kZVvj6++o9Ta9nUr8E1rq+8I2C5taVaP\nvxzS+UBCygXJp1yvdFfg7muBv+XreCIiIiLS+DS2ZcZERKpTq6LbzPoDJwNdE00fA3939ydrF5ZI\n3cl2BmrNPi0iIiIiIrWVU9FtZu2A2cCPCG4n/zyx6SfAMDN7EfiZu6+p5BAikXnppRf4y+Lrqu2n\n2acbt7feXBh1CFIg5s+fz9FHHx11GBKx+QsWcUDUQUjkdD6QkHJB8inX2cunAD8ExgK7u/t+7r4f\nwTJhVwLHJvqIFJz7//RA9Z2k0VMeSGjq1MpWo5Sm5K7pf4k6BCkAOh9ISLkg+ZRr0f0z4G53v9Xd\nN4aN7r7R3W8B/pjoI1JwbvnDpKhDkAKgPJDQtGnTog5BCsC9t1V/B5Q0fjofSEi5IPmUa9G9FXi/\niu1LEn1ECs4uu+wSdQhSAJQHEioqKoo6BCkARbu0ijoEKQA6H0hIuSD5lOtEasXAmWZ2j7tvT95g\nZjsDZwGP1TY4ERGRpizbpZXqe1klkfpWyMuMiYhUJ6ui28wOT2v6C3An8IqZ3Qd8mGg/CLgQaAE8\nlK8gRUREmqJsl1bSskrS2GmZMRFpyLK9vfxN4I2k17+AnsD3gT8BJYnXfcCRwPeA5/Mcq0he3Hrj\n7VGHIAVAeSCh8ePHRx2CFIAJt2jSJNH5QL6hXJB8yvb28sF1GoVIPdqry14s14wDTV595UG268KD\n1oaPyt577x11CFIA9t6rM3wWdRQSNZ0PJKRckHzKquh2d62tI43GueedzYLpmnKgqauvPIhvXs/l\n0wdk1Vdrw0fjwgsvjDoEKQAX/OIsVk66LeowJGI6H0hIuSD5lOtEajuY2W7APom3n7n7htoeU0RE\nRERERKQxyHXJMMzs+2b2HLAaeCfxWm1mJWZ2ZL4CFBEREREREWmocrrSbWZHEUymtgWYBryX2HQw\ncA7wgpkd5+6v5yNIkXz66D/Log5BCoDyQEJLly7l29/+dtRhSMQ++Ohj2kUdhORVLsuM6XwgIeWC\n5FOut5dfD/wfcKy7f5G8wcwmAC8n+pxQq+hE6sDkm6fQolfUUUjUlAcSmjBhAg8//HDUYUjErr31\nTibvU30/aThyWWZM5wMJKRckn3K9vfwo4N70ghvA3csIlg47ujaBidSVq64eG3UIUgCUBxK6+eab\n6+Vztq9bwbayD6p9bV+3ol7ikVSTfjc66hCkANTX+UAKn3JB8inXK91fV7Nvs0SfnJnZCGA00BlY\nDIx09zeq6H8ccBvwHeBT4PrkWdfN7ALgPOC7iaYFwG+rOqY0Tnt12SvqEKQAKA8kVF/LwmR71S28\n4ib1a+8unVkZdRASOS0TJSHlguRTrle6XwFGmNl+6RvMbF9gOMEt5jkxs4EEBfTVwGEERffTZtah\nkv5dgSeBecChwBRgmpkl397+Y+Bh4DiCq/CfAf80M/2ft4iIiIiIiNSJXK90/xZ4AVhiZrOBpYn2\n7sBpwDZgXC3iuozg9vUHAczsIuAUYAiQ6V6Pi4GP3P2KxPv3zezYxHGeAXD3Qck7JK58DwD6AH+p\nRawiIiIiIiIiGeV0pdvdFxJcLX4KOBUYn3j9NNF2tLsvzuXYZtYcOILgqnX4eQ48C/ygkt2OTmxP\n9nQV/QF2BZoDq3KJUxqu6ffOiDoEKQDKAwlNmTIl6hCkAEz904NRhyAF4Pabrs9q7gXNv9D46d8G\nyadcr3Tj7v8LnG5mOwEdE80r3b1Wz3IDHQieCS9Lay8juJKeSedK+rcxs5bu/lWGfW4imIE9vViX\nRm7T5k2wW9RRSNQKOQ/WbCwnvnl9Vn2LWrWm3a7t6ziixi0ej0cdghSATZs3Rx2CFID4+jU1nvFc\nGif92yD5VOMr3WZWZGblZjYGwN2/dveyxKu2BXe9MLMrgbOAn7n7lqr63nHHHfTq1YtYLJby6tu3\nL3Pnzk3pW1JSQiwWq3CMMWPGMHPmzJS2xYsXE4vFKC8vT2mfNGlShd+slZaWEovFWLp0aUr7fffd\nx/jx41Pa4vE4sViM+fPnp7QXFxczYsSICrENGTKkyY1jzeo1lC5OLWjWffEVC2eVsSW+vdpxbFq7\njYWzythYnpo6n765lltvvD2lbfvWr1k4q4zVn6X+z9zn727gnbkVp+z5zaVjWbF0Y0rbl8viLJyV\n/julzN9HZeP48MXVFa7sVjWO90tSbwCJx+NcMmxU1uPI9H1UNo73/vll1t/Hhy+uZtn8NSltpaWl\nXDJsVFbj2L71ay4ZNor58+dzyaUXVzuOxY+vyPr7yDSOxYsXc8mwUVmNY9PabVwybBRLly4lvnk9\nl08fwOXTB3DGxT/hlHOP3/H+8ukDuPSe0zm+37EMnnBKSnGuv+e5jQMqXtGoy3H85nmY92lq28vL\nYURJha6MvfZmij9IbXu3POi7Oq1GzPR9LN8Q9P0obanih96DCbdMTWnbtC3ouyAtvecug6syzNIy\n9LKrsh5Hpu+jsnHcuajiVeeqxnHrm6lt8XicQcNHZz2OMK/Gjryw2nFMfA0emjUn63FMeye1rbS0\nlEHDR2c3jk2bM+ZVZeP4zfPw92efT2mrahzpebV48WIGDR+d1TiWb4BBw0dX+PuRaRw1zatMfz9K\nSkoYNLzi7PKZxvFueRBb+t/zysaRnldjR15Yo3HovNt4xzFu3DdPyjbkcSTTOCofR3FxMQMHDqR7\n9+7069ePWCzG4MGDKSnJcBLNgQV3btdwJ7My4Bp3vzsvUaQeuzkQBwa4+5yk9hlAW3c/PcM+zwML\n3P3ypLZfAbe7++5pfUcTPJPeJ3GbfKXmzZt3OLCgR48eFBUV5T4oqTPZXhFMvhq4vPxjLp8+oNp9\nJp9fTJf2XbVPPeyTvJ/2yW0fqV/b163AN62ttp/t0pZmiSth28o+yHr28p07HaR9tE/B7pO8n/Y5\nKKu+ItLwxONxlixZAnBEnz593qrNsXK9vbwYOMPM/ui5VO1VcPetZraAYIKzOQBmZon3UyvZ7VWg\nX1pb30T7DmZ2BcEEb32rK7ilYQivCFZn8vnFugVXRPJGy3+JiIhItnItuv8K3A08Z2Z/Aj4GNqV3\ncvdcfyMwGZiRKL5fJ5iFvAiYAWBmk4Au7v7LRP97CJYwuwm4n6BAPwM4OTygmY0FrgHOAT41s06J\nTRvcPfX+UWnUVq9aHXUIUgCUBxIqLy+nfXv9Uq6pK1+9pvpO0ugpDySkfxskn3Ituv+V9OcfZthu\ngBNMiFZj7v5oYk3ua4FOwCLgRHcPH7rsDOyT1P9jMzsFuB34NVAKnO/uyZOkXUQwW/mstI+7JvE5\n0kT8ftw1tOgVdRQSNeWBhEaOHMnDDz8cdRgSsVFXXcfkfarvJ41bLnmQ7eMmkPrIiRQ2/dsg+ZRr\n0T2EoKiuM4nnxTM+M+7ugzO0vUCw1Fhlx+uWv+ikIRv+62FMm/+7qMOQiCkPJDR27NioQ5ACMGbE\nBTDnxajDkIjlkgfZPm4CeuSkIdG/DZJPORXd7j4jz3GI1JtDvnMwzK++nzRuygMJHXrooVGHIAXg\ne9/pwco51feTxk15ICH92yD5VKOi28xaAacB3YBy4El3/7wuAhMRkexpbW8RERGRwpR10W1mewKv\nEFrjCT0AACAASURBVBTclmiOm9nP0p6dFhGRepbtTP6g2fzT5bL8l4hIbeg5cJGmpSZXun8PdCWY\nrKwEODDRdi9wQN4jE6kjxY89HnUIUgCUBxL6y8yZ9P3g+mr76VnMxu2hWXPoG3UQErn6ygM9B174\nZs6cyaBBg6IOQxqJnWrQty/woLuPdve/u/tU4BKgq5l1r5vwRPLvvf99L+oQpAAoDyT09rtLog5B\nCoDyQEB5IN94++23ow5BGpGaFN37Ai+ltb1EcKt5p4rdRQrT7yaMizoEKQDKAwndNP6KqEOQAqA8\nEFAeyDduueWWqEOQRqQmt5e3BDantYXvc116TEREREREqqHnwEUarpoWy13N7PCk920T/z3IzNak\nd3b3t3KOTEREREREAD0HLtKQ1bTonph4pbs77b0BDjTLJSgREal7jXGZMc1ELiIiIoWmJkX34DqL\nQoTsC4Da/s//JcNG0aJXzrtLI6E8aJzLjGV7JSj5KtCg4aOZvE9dRyaFTnkgoDyQb8RiMR5++OGo\nw5BGIuui290fqMtARLItAGr7P//n/GIgxUtvzXl/aRyUBxIacu4Z8MKLUYchEVMeCDS+PNBz4Lm7\n4IILog5BGhFNgCZNzjE//AHFS6OOQqKmPJDQ8ccczcoXoo5CoqY8EGh8eaDnwHPXu3fvqEOQRkRF\nt4iIZK2+ngPX1RkRkWjo/CuSfyq6RUQka/X1HLiuzoiIREPnX5H8U9EtTc68Z56LOgQpAMoDCf39\n2ef5ftRBSOSUB/+fvfuOk6o6/zj+ecCCqKCogKgoghFJ4WdUxK5gCRpFIxGDDXsUEYkYC1GJxi4W\nosSGPZKoYEVDlDUiXQSxYEEEAaUICggLC+w+vz/OHZidndmdnS0zu/N9v17zWubcc+99zpwD7Jl7\nioDaQVXUt90jRo0axQknnJDtMKSeUKdb8s6wR56g5W+yHYVkm9pB7Sn68Vt8bZpDFRs1Zcvtd6nh\niEr7+6NP8/T/1eotJQepHQioHVRFJrtH5LL7779fnW6hoKCgWub352yn28z6AAOAlsAMoK+7v19O\n/iOBwcDPgXnALYkrrpvZ74GbgD2AL4Fr3P3NmohfclezZs2A1dkOQ7JM7aD2+NoV/HjHoWnl3f7q\ncUDtdrp33GH7Wr2f5Ca1AwG1g9qWy0/Hd9xxx1q9n+Smd955p/52us2sJ6EDfREwBegPjDazn7n7\n0iT59wBeB4YCvYCjgcfM7Dt3fyvKczDwHHA1MAo4A3jZzPZ195k1Xqg8U1t7botI/VTsxZXKm5P/\nmYmISLkyeTqeyx11kVRy9feU/sDD7v40gJn9ETgBOA+4M0n+S4Cv3f3P0fsvzOzQ6DpvRWmXA2+6\n+z3R+xvM7BjgMuDSmilG/qqtPbdFpHZth3HniXeknTdT7iU1kldEROo2ddSlLsq5TreZbQ7sB9wa\nS3N3N7O3gYNSnNYZeDshbTRwb9z7gwhPzxPzdK9SwCIidVQmHegG61az+cOnpXVOg6vHZRxbptJ9\nQq6n4yIi+SOTjrpvKGLD4lkVnqOOuqQjF3/n2BFoCCxOSF8M7J3inJYp8jcxsy3dvaicPC3LiaUR\nwNq1a9MIu/76ac1y1hYVVpiv0ZaN2Xar7QBYX7SBFtu2rvCc9UUbKCwsrNVzPpv5Bcd2bZ+TseXr\nOfHn1dY56baDbMSWyTmNioq59YS70zqnUVExhYWFFK3+CV64Lq1zino/DlsVUrS+hPXN2qV1zpr1\nJZQU1t45AEXrNqR1XuG6DRRH53w08wvWd6z4nFVF69kiOmdd0fq07hN/zoZ1xWnGVsxmOqfWz0m3\nHdSV8tTkOfHn1bdz0m0H2Ygtl8+B3GunVf434eNP+e7hMyo8Z7tzn2azzbYBoHjVD3jRqgrPsS23\noeE2zWr1HKm8uD5go6pey9y9qteoVma2M/AtcJC7T45LvwM43N3LPO02sy+Ax939jri0boR53o3d\nvcjMioCz3f3fcXkuAW5w952TxTJmzJheBQUF/3znnbJbCx111FHVMqleal91rUIodZvagcSoLQio\nHUigdiAxagv5paCggGR9vubNm9O3b98zunbt+lxVrp+Lne7NgULgVHd/NS79SaCpu5+S5Jx3gQ/c\n/U9xab2Be919++j9N8Bgdx8Sl2cQ0N3d900Wy5gxY3YAjgPmAvn9uFtERERERCR/NCLsejW6a9eu\ny6pyoZzrdAOY2SRgsrv3i94bYRuwIe5+V5L8twPd3L1jXNpzwHbufnz0/l/AVu7ePS7PeGCGu2sh\nNREREREREal2DbIdQAr3ABea2dlm1h54CGgMPAlgZreZWfwe3A8Be5rZHWa2t5ldCvSIrhNzP/Ab\nM/tTlGcQYcG2B2q+OCIiIiIiIpKPcnEhNdz9eTPbEbgJaAF8CBzn7t9HWVoCu8Xln2tmJxBWK78c\nWACc7+5vx+WZaGa9gFui1yzC0HLt0S0iIiIiIiI1IieHl4uIiIiIiIjUB7k6vFxERERERESkzlOn\nW+olMzvMzF41s2/NrMTMTkqS5yYz+87MCs3sLTNLb1NKqRPM7Fozm2JmK81ssZm9ZGY/S5JP7aCe\nM7M/mtkMM1sRvSaY2W8S8qgd5Bkzuyb6/+GehHS1hXrMzG6M6j3+NTMhj9pAnjCzVmb2jJktjep7\nhpn9OiGP2kM9ZmZzkvybUGJmf4/LU+U2oE631FdbE9YCuBQoM4fCzK4GLgMuAjoBq4HRZrZFbQYp\nNeow4O/AgcDRwObAf81sq1gGtYO8MR+4Gvg1YQHNAuAVM9sH1A7ykZkdQKjvGQnpagv54RPCmkEt\no9ehsQNqA/nDzLYDxgNFhC2C9wGuBH6My6P2UP/tz6Z/C1oCxxD6Ds9D9bUBzemWes/MSoCTE/Z9\n/w64y93vjd43ARYD57j789mJVGpStDjjEuBwdx8Xpakd5CkzWwYMcPcn1A7yi5ltA3wAXAJcD0x3\n9z9Fx9QW6jkzu5GwkO6vUxxXG8gT0ZbDB7n7EeXkUXvIM2Z2H3C8u/8sel8tbUBPuiXvmFkbwjdZ\nY2Jp7r4SmAwclK24pMZtR/jm8gdQO8hXZtbAzE4nbEM5Qe0gLz0IvObuBfGJagt5Za9o+tlsM3vW\nzHYDtYE8dCIw1cyej6ahTTOzC2IH1R7yj5ltDpwBDIveV1sbUKdb8lFLQudrcUL64uiY1DNmZsB9\nwLi4bQLVDvKImf3CzH4iDCMcCpzi7l+gdpBXoi9c/g+4NslhtYX8MAnoTRhO/EegDTDWzLZGbSDf\n7EkY8fIFcCzwD2CImZ0VHVd7yD+nAE2Bp6L31dYGcnKfbhGRajYU6AAcku1AJGs+BzoS/jPtATxt\nZodnNySpTWa2K+HLt6PdfX2245HscPfRcW8/MbMpwDfAaYR/JyR/NACmuPv10fsZZvYLwpcxz2Qv\nLMmi84A33X1RdV9YT7olHy0CjLCISrwW0TGpR8zsAeB44Eh3Xxh3SO0gj7j7Bnf/2t2nu/tAwgJa\n/VA7yCf7ATsB08xsvZmtB44A+pnZOsKTC7WFPOPuK4AvgXbo34N8sxD4LCHtM6B19Ge1hzxiZq0J\nC+8+GpdcbW1AnW7JO+4+h/AXpWssLVoU4UBgQrbikuoXdbi7A0e5+7z4Y2oHea8BsKXaQV55G/gl\nYXh5x+g1FXgW6OjuX6O2kHeihfXaAd/p34O8Mx7YOyFtb8LIB/2ekH/OI3z5+kYsoTrbgIaXS70U\nzc1qR/h2CmBPM+sI/ODu8wlDDP9iZl8Bc4GbgQXAK1kIV2qAmQ0F/gCcBKw2s9i3lCvcfW30Z7WD\nPGBmtwJvAvOAbQmLpBxBmMMHagd5wd1XA4n7Ma8Glrl77GmX2kI9Z2Z3Aa8ROla7AH8F1gP/irKo\nDeSPe4HxZnYtYXuoA4ELgAvj8qg95IFo7Z/ewJPuXpJwuFragDrdUl/tD7xDWPzAgcFR+lPAee5+\np5k1Bh4mrGr9HtDN3ddlI1ipEX8k1P3/EtLPBZ4GUDvIG80Jf/d3BlYAHwHHxlavVjvIa6X2TVVb\nyAu7As8BOwDfA+OAzu6+DNQG8om7TzWzU4DbCdsHzgH6ufu/4vKoPeSHo4HdgCcSD1RXG9A+3SIi\nIiIiIiI1RHO6RURERERERGqIOt0iIiIiIiIiNUSdbhEREREREZEaok63iIiIiIiISA1Rp1tERERE\nRESkhqjTLSIiIiIiIlJD1OkWERERERERqSHqdIuIiIiIiIjUEHW6RURERERERGqIOt0iIiL1nJnN\nNbPHsx1HjJkNMrOSbMdRF+izEhGp+9TpFhGRWmVm55hZSdxrvZktMLMnzKxVtuOrq8zsIDO70cya\nJDlcAnhtx1QOJ8QkFXNyq+5ERKSSNst2ACIikpccuB6YCzQCOgPnAoeY2S/cfV0WY6urDgZuAJ4A\nViYc25vc6uTeDNyW7SBERERqgzrdIiKSLf9x92nRnx83s2XAn4GTgBezF1adZakOuPv62gykIu5e\nAuiLFRERyQsaXi4iIrniPULHsW3iATPrZmZjzWyVma00s9fNrENCnhbREPX5ZrbWzL4zs5fNrHVc\nnrlm9qqZHWNm081sjZl9amanJLlnGzN7wcyWmdlqM5toZscn5DkiGiL/ezMbGN17jZm9bWZtE/K2\nM7MRZrYwyjPfzIab2bYJ+c40s6lmVhjde7iZ7VreB2dmNwJ3Rm/nRjEVx8qeOKc7boj/IWY2xMyW\nmNmPZvaQmW1mZk3N7Gkz+yF63ZHknmZmV5jZJ1F5FkXnb1derNG5ZeYpR/EMMbPuZvZxVIefmNlx\nFV0vOr9vlH91FPP7ZnZ6Qp5WZvZ4FGvs+ucmudaWUYxfRGX7Lqq7NnF5GpvZYDObF13rczO7Msm1\n0i6XmR0axb3GzGaZ2UUpynqMmb0X1dlP0b1vSedzEhGR2qcn3SIikitiHZof4xPN7CzgSeA/hCfh\njYFLgPfMbF93nxdlHQnsAwwBvgGaA8cArYFYHgd+BvwLeCi67rnAC2Z2nLuPie7ZHJhIGPp+P/AD\ncA7wqpmd6u6vJMR+DVAM3AU0Ba4GngUOiq63OfBfYPMovkXALsBvge2An6J8A4GbovgeBXYCLgfe\njcqaOGw8ZkRUrtOBfsCyKP37uHIn83dgIWFYemfgQmA5Yaj6N8C1wPHAADP72N2fjTv3EeBs4PHo\nM2oD9AX+z8wOcffiFPeMxZMspsOA3wFDCZ/J5cCLZtba3X9Mkh8AM7swiuF54D5Cvf0KOJDwWcbq\ndDKhnoYAS4FuwDAz29bdh0T5GgCjgKOA4dH1tiW0pV8Ac6LbvgYcATwGzACOA+4ys1buntj5rrBc\nZvYLYDSwhFAfmwODovfxZe0Q3ftDwhSNIqAdoc5ERCQXubteeumll1561dqL0HktJnRqdiB0Pk8F\nFgOrgVZxebcmdHj/kXCNnQid84ei900Jc5b/VMG950T37h6Xti3wLTA1Lu3eKN9BCbHMBmbHpR0R\n3fcToGFcet/o/A7R+45RvlPKia01sB64OiG9A2Eo9jUVlO3K6J6tU5T78YQ6KAFGJeQbH13jgbi0\nBoQvLQri0g6Nzu+ZcP4xUfrpFcR6I1CckFYCrAH2iEv7ZZR+aQXXewn4qII8jwELgO0S0p+L2tiW\n0ftzo3teXs61ukd5rklIfx7YALSpbLmiMqwGdolL2ztqE8Vxaf2iOtq+Jv+e6qWXXnrpVX0vDS8X\nEZFsMGAM4UnsfOAFYBVwkrt/F5fvGEKH+l9mtkPsRXhKOpnQcYfQqVkHHJnG8ObvPO5Jtbv/BDwN\n7Bs9DYXwBHSKu0+My7ea8HR3D0sY2k7o0MY/2Y0Nld8zer8i+vkbM9sqRVynRue8kFDWJcCsuLJW\nFyc8pY43Ofq5Md3D/OupbCoLQA/CE/ExCbFOJ9RjprG+5e5z4+79MWFRuD1TnhEsB3Y1s/3LyfM7\nwhPihgkx/5cw2uDXcfm+Bx4o51rdCJ3rvyekDyZ8SdEtIb3cckVP148FXnL3b+PyfUF4+p1YVoBT\nzCzlPH4REckd6nSLiEg2OGGI+NGEzuYoYEfKLq61F6Ej+g6hIxR7LSF0yJsDeFjt/GpCZ2exmb1r\nZleZWYsk9/4qSdqX0c89op+7A18kyfdZ3PF48xPex4ZCbx/FN5fQIbsAWGpm/zGzS6309l7tCP8v\nf5WkrO1jZa1m8xLex74cSCzPCqKyRPYidFSXUDbWrck81sT7Qvgst0+SHu8OQmd/ipl9aWYPmNnG\n4dZmtlMU70UJ8X5P+ILB42JuC3wRfdmQyu6EL29WJ6Sn2z4Sy7UTsBXJ22ZiO/w3YUTCo4S2PtzC\nmgLqgIuI5CjN6RYRkWx536PVy83sFWAc8JyZ7e3uhVGeBoQO0ZmE4eeJNsT+4O73m9mrwMmE+bU3\nAdea2VHuPqMGywFhuG8yGztC7n6VmT1JGJp8LGFe8bVmdmD0dL8BYcjxb0i+vdeqao04SBV3svT4\nTl0DQn30SkiP+T5JWlXiKbdD6e6fm9nehDnyvyE8rb7UzP7q7n9l00OGZ4GnUlzmowziTVdG5UrG\n3dcCh5vZUcAJhPL2JIw6ONbdtae3iEiOUadbRESyzt1LzOxawhPty9i0EvdsQsfke3cvSOM6cwjz\nse+1sHr4DMJc57PjsrVLcure0c+50c9v4tLi7RN3vNLc/VPgU+BWM+sMTAD+SFg4K1bWue6e7Iln\nhZfPJKYMzQa6AhPcvagW75uSu68hTFN4wcw2I8yRHmhmtxG+BPiJMO++onY0G+hkZg099WJw3wBd\nzWzrhKfdmbaP7wlTJPZKcqx9shPc/R3C35cB0d+dvxGG9Vf490RERGqXhpeLiEhOcPd3gSnAFWa2\nRZQ8mjD39bqoI1WKme0Y/dzKzLZMODyH0NFKTG9lcVuERUO8zwKmu3tspeg3CB2vA+PybU0YnjzH\n3WdWpmxmtq2ZNUxI/pTwRDsW38jo/Y0prtGsgtvEOn8VbtlVDZ4nfHF/Q+IBM2toZk1rIYb4e5b6\nbNx9A2GotwGbR0PFRwCnmtnPk5y/Y9zbEYTh3peVc8s3COVPzNOfUIdvVib+KL7RwMkWtz2cme1D\nGBURH2uyofYzCGVNbOsiIpID9KRbRESyIdWw2rsITyt7A4+4+09mdglhobNpZvYvwlPB1oShteMI\n2y/9jDC89nlgJmHY+e8I83SHJ9zjS+AxMzuAMET6/CjfOXF5bgf+APzHzIYQVrfuTZir+7sMytsF\neMDMXojuvxnh6fsGQicPd//azP5CeAreBniZ8KXBnoQh8w8D95Rzjw8In+ut0ee0Hng1egKcTMZz\ngN19rJk9DFxjZv9HWIxsPaEeehDqZGSm18/Af81sEWGu82LCiu99gNfjnkRfAxwJTDazRwntpBmw\nH6F+Yh3vpwl1c0/0pct7wDaEJ/sPuvtrhAXZ3gFuieoqtmXYicC90YiLyrqRMFR8nJkNJWwZdhlh\nZfxfxeW7wcwOJ6yD8A3QgrA+wjzC3wcREckx6nSLiEg2pBoKPZIwvHeAmT3qwXAz+5bQaRpAeJr3\nLaEz9ER03nzC1k9dCfO/NwCfA79395cT7jGLsKXX3YRO4hzgNHd/e2Nw7kvM7CDCAl2XEfZ9/gj4\nrbv/J82yxKfPIOwz/lvCFmmFUdpv3H1K3H3vMLMvCE9MY0+R50fnvpriPrFzp0ad9j8SOoANCHtn\nzyP5vtiVHY5eKr+7X2JmU4GLgVsIn/lcQqd1fGWvlyLG8tLjPQScQfjctiFsDXZfFFcs3iVm1onw\nuZ5C6KguI4w4+HNcvhIz6wYMJMxZ/12U7z3g4yiPm9mJhHUDehK+kJkLDHD3ezMpl7t/bGbHEr5Y\n+WtUhhuAVpTudL9C+PLnXMIXBUuB/wGDopX4RUQkx5jW2xARkXxhZnOAj939pGzHIiIiIvlBc7pF\nREREREREaog63SIiIiIiIiI1RJ1uERHJJ+nMDxYRERGpNprTLSIiIiIiIlJD9KRbREREREREpIao\n0y0iIiIiIiJSQ9TpFhEREREREakh6nSLiIiIiIiI1BB1ukVERERERERqiDrdIiIiIiIiIjVEnW4R\nERERERGRGqJOt4iIiIiIiEgNUadbREREREREpIao0y0iIiIiIiJSQ9TpFhEREREREakh6nSLiIiI\niIiI1BB1ukVERERERERqiDrdIiIiIiIiIjVEnW4RERERERGRGqJOt4iI1Dlm9j8zK8l2HFVlZnPN\n7Otsx1FV1VUf1fl5JIvJzI4wsxIzu6E67pFBTLtH9388If3JKL11NuKKYsjqZyMiUp+p0y0iUg9E\nvyyXmNkcM9siRZ65ZlZsZjn/b38anRAHcqbTbWY3xtVB7FVsZsvNbLyZXWpmDZOc6tGrrquu+qjO\nzyLVZ5vxZ25m50R1e3Y1x1Xj7SBVh7+24xARyUebZTsAERGpNg60Bq4A7kxxvK6o6Jf/s4DGtRRL\nZfwvekH4P3Y34CTgAeAgQtzxutRWYDUsV+sj0WRgH2BpFa5Rlb9H30b3X1GFa9SU6vhsREQkCXW6\nRUTqjx8JHYJrzOwxd/8h2wFVgZV30N0X1FYglfQ/d78pPsHMdgU+A3qZ2UB3nxc75u5zajvAmpDD\n9VGKu68FvqzCJcptl2ncf0MV718VFf2dqupnIyIiKeT8EEMREUlbIXAzsB1wY2VONLMDzexFM1to\nZkVmNs/MHjKznVPkP8DM/mtmK81shZm9ZWadzWxQNIT18IT8J5vZM2b2hZmtil5TzayvmVlC3hLg\nbEInYW7ccO2v4/KUmq9rZj2jPINTxLuFmf1oZt8mDq83sz+Y2TvR8TVmNtPMBqYapl9ZUYf0i+jt\nTgn3LjOHOX4Is5kdFcUW+5xfN7P2KcrY0swejKYYFJnZEjMbYWa/TpI3/h7HmNlYM/spOudxM2sa\n5dvXzF4zsx+i46+Y2e5Jrpds/vTmZnaZmY2KyrnWzJZFbeU3lfsUUzOz083sAzMrNLPFZvZ0Oe02\n6bxlM2tjZo+Y2azoOsvM7CMz+4eZbR/leQeIDc2OTX+ITSNoHeXZ2P7NrJeZTYo+t6+j4xUN8W5g\nZn8ys8+itjjfzO4xs22TlKXEzApSlLPU9AwzuxH4mvClXG8rPQ3i7PI+m+hYu+hzXRC1rW/N7Ckz\na5ckb/xn0MPMJpvZ6ugzHW5mrVKUXUSk3tKTbhGR+uVBoC9wsZkNcffZFZ1gZucBDwNrgVeB+cBe\nwPnAiWZ2YPyTTAsd6tGEL25HEH6Z/yXwDlBA8uG3twHFwCTCENumhKHV9wP7A+fE5R0EnAL8Kjq+\nPEpfHpcncfj5y4Qhu73M7Cp3T5xffHJ0z0fij0Wdn95RmV+M7tGZ8OVFFzM7Jsm1KsXMdgP2Blay\nqfMdX45kHDgR6A68AfwD6ACcAOxvZh3iRzKY2R7AeKAloQ6eIwxt/z1wgpn9zt3fSHKP7sBvgdei\nexxM+Dx2N7PrgDHAWOAxQh2fCLQh1E3itRLL0gy4L4rrv8D3wM7RNd4wswvcvbz5xRUys/7AYMIo\njycJbeA4YAJpDuE2s5bAVGAbwmf9ItCIUM4zgb9H138i+tmd0N4+jC7hbGqbsc9hAHA04XMtILS9\ndNwHHAY8H13zOMJ0kUPN7FB3X5fmdRLr450ohiuiuF+OO/Yh5TCzA4C3ga0J/z7MBNoTPpvuZtbV\n3T9Icu8+hLp+lTDl4kCgJ/ArM/s/d1+fZllEROo+d9dLL7300quOvwiLWM2L/nxq9P7FhDxzCB3f\nBnFpewFFhM5gy4T8RwEbgBFxaQbMiq5zbEL+i6L7FgOHJxxrkyLuJ6P8BySkPxGlt05x3jtAcULa\nQ9E5xyfJPyo69vO4tN5RvC8AWyTkvyHK3zfNz//G6FrvRH++kdBxf4IwR/Z7oHuS8+YAXyeknRNd\nax1wZMKxW6O4BiSkj47Sr0lI7wysj+7fOMU9Dk0457/RsaXA6QnHHovuc2Ia9bEF0CpJmbcFPo6u\nv2VFn0c5n/nuUdtdCuyWcOzFWFtMSD8iSr8hLu2yqEyXJbnHVvExRp9bMXB2Be3gJ+BXKWIuAR5P\n0t5LgCXArknKUgwMTEgvAQpSxFHm70+qe5f32UTpn0XXSmwLv4/yz0zxGSwHOiQc+2d0rR7p1LFe\neumlV315aXi5iEg94+4jgInAKWZ2cAXZLyWMerrC3RclXOcdwlOqE81s6yj5YKAt4Zf9/yZc61FS\nzAn11HOXhxA68sdVEGc6noquFf/UHDNrARwLTHP3T+MO9SN0SM/3sk8Q/wb8AJxRyRgOJ3TYbwCu\nIwyT35bw5HJqJa813N3/l5D2CKGMnWIJZrYLcAwwD7grPrO7TwKGE546/y7JPZ5z93EJac9EPz92\n938lHHs6uv//VRS8u69z9++SpP9EGKa9PXBARdcpx5mEtjvE3ecnHLuKyq2mboSRHqW4+xp3L8og\ntofd/aNKnuPAfV52fvxV0bHzMoijSqJ/P/YGJiS2BXd/ARgH7G1mhyY5/X53n5mQ9igJ7VdEJB9o\neLmISP10JWGI7d2EjnIqnaOfR5pZsl+EmwMNgZ8B04F9o/TxiRnd3c1sAuHpeSlm1gz4M9AN2JMw\nVHXjqcAu5RUmHe4+0cy+JHxJ0NTdY8OLzyQMhX8yLp6tCEOkvwf6m5VZY8oIT1H3qWQYg9z95rj7\n7EwY2n4PcLKZdXL3b9O81gdJ0mKdy+3j0mJ18p67Fyc5p4DwGewLPJvGPWId5WlJjsVi3zXJsTLM\nrAOh3g8jDC1vFHe4qvUeK/fYxAPuPsfM5hNW86/Iq4QRBEOjueajgfFJOozpcuD9DM8tryx7mFkT\nd1+Z4bUzEVsP4J0UxwuAQwh1Ef/ljZN++xURqffU6RYRqYfcfZKZvQicama/j55KJbND9HNAeZcj\nzHeFMC/UgcUp8pZJjxblmkoY3jqF8ET6B8LQ9e0I80y3LOf+lfEU4Sn16YR56hCefK8nPPGN9Yki\n7AAAIABJREFU2Z7Qsd6J8FQ6lcpuD1Wq9+7uC4F/RItHDQT+AlySxnXi5wnHX684+oIgfs/v2Hzh\nhSmuFUvfLsk9ks173hD9LO/Y5inutZGZdSbMCW8Y/XyFMK+9hPCkvDtVq/dYuVO1xUWk0el293nR\nvOVBwG8I6wlY1NG9293/nkFsiyrOklRFZWlK+AxrS+zve3ltyyjbtiBJ+2VT+0m2Z72ISL2lTreI\nSP11LaFjc5uZvZwiT6xj1cTdV6dxzZWEX7JbpDieLP1CYA/gxvinwLCxY3ZFGvdN1zOEudTnAA+b\n2b7AL4CXvPQWarFyT3f3/avx/qlMjn7WxLDaWFlapji+c0K+2vIXwpPtI939vfgDZnYNoW1WRaw8\nLQjzjhOl+jzKcPcvgD9YWNm+I2ERtL7AfWa2yt2fqGRsme7l3YKwZkKiWFni69BJ/Xtcsk5wJlYQ\n/r6X17ZSfXkjIiIRzekWEamnPKxcPpSwCnPfFNkmRT8PT3E80fToZ5k5nBYewSYbyt6W8Iv5yCTH\njkxxn9gw6Uo9EYvmwxYAB5rZXoTOtxOegMfnWw18CvzczKqrg1Ke2HDamvh/d2OdWMJ2aJEuhM8g\n2XDxmtQW+CGxwx05shquP43QITwi8YCZtSGs3l4p7l7i7tPd/S6gV3T9k+OyFEdpNfWktryyzE0Y\nWv4jScoYtYFkc+4z+TsVa1tHpjjeJfpZ221LRKROUadbRKR+u4nwFGogm4aIx3uAMOTz3qiTWoqF\nvZbjO9jjgdnAUVZ2r+WLCXO/E80ldFSOTLj2vsA1JH8quCz6mc6c3ERPRj8vIAwzX0pYvTzRPYTh\nzU9EQ+BLMbPtohjTlfTpppltSdg+yUk9NzZj0RzxtwijCfon3PtA4A+E4fwvVfe9KzAXaGZmv0iI\n6XzCwnZV9U/CtIG+Frd3ePTlz92k+TuOmf3azJokORR7uhs/AqQq7bLCUIB+sb21o9hiZTE27REe\nMwVobWZHJ6RfT5jKkehHQhtMO3Z3H0/Y2eBQMzu1VLBmPQhfvn2RZDE+ERGJo+HlIiL1mLv/aGa3\nAnfGkhKOfxHt0z0M+NTM/kNYgXxzwi/nhxG2MeoQ5XczuwB4E3jVzEYQOuG/IgzJfYOwWFr8ytFP\nE1Zgvt/MuhCGz+5F2B96BKFjnGhMdM5j0T1+Apa7+4NpFPulKP8VUTnuT7bAmLs/YWa/JqzgPtvM\nRhNWAG9GGB1wOKGjc2ka94TQMTrKNq3KZoTht90IC4bNJizYle61KuOPhIWs7jSzYwlz6FsDPQhP\nOM9NMn2gsveorPsIq9KPN7PnCV/+7E9YeOsFwpZTGXP3b6Jh6ncD083s32zap7sp8BFhb/GKnEXY\n134coY5+JDylP5Gwovl9cXknAoXAFWa2I5vmbg+JVmWvqvHAhwll6UhYmO2uhLx3R8dfjfL/QBhp\nsgdhX+xST83dfbWZTQYOM7NnCX/Pi4FX3P2TcmI6h7CN3L/N7BXgc8I+3d2jGM/OtLAiIvlCnW4R\nkfoj1TzSIYTFu/ZIlsfd/2lmHxJWPD+KsP3UasIq1i8A/07I/66ZHUFYsOz4KHlSdO6Z0fuVcfkX\nRk/Lbyd0uI4l/OL+R8JQ8J6Jcbn7f83sT4T54P0Iez5/A8R3upOW193XmNkLhC2WSgid/qTcva+Z\nvRnF0pUwF/YHQuf7DsLT1HQ5oaMeP1S/EPiKsG/y4BQrTycrR3lzgj3xeLTC9f6EedTHEzpcKwlf\ngtzq7slWkq7UPdI4lhjTaDP7bRTTaYQO3mRCO2lL+EIg1fXT4u73mtl3hC9oziF82fIf4GrCwnmp\n4oxPf47Qvg4mrNa9FWGV9ueAe+JXMXf35Wb2O8Je1OewaRX+Z6J7pxV2irhKCCMVTmHTOgjLgHsJ\n6yGU2tbO3QvMrDthIcCehL+z/yV81jeluMeZ0fWOI3zZZYQVxWOd7mRta0q00NxfCF+s/ZYweuSf\nwN/cPdkc9PKU17ZEROolc8/Nf/fMrA9hNd2WwAygr7un3ILDzI4EBgM/J/yydIu7PxV3/B2SzJUC\nRrn7idUYuohI3jKz8YS9l5u6+5psxyMiIiKSbTk5p9vMehI60DcS9n6cAYyOhnIly78H8DphOGJH\n4H7CkMRj4rKdQujAx16/IHzr/nyNFEJEpJ4ys61SzIHuDRwEjFaHW0RERCTIySfdZjYJmOzu/aL3\nseFPQ9z9ziT57wC6ufuv4tKGE560HJ+YPzp+BWFPzp31y6GISPrMbG/CqsZvEYZOb0b4gvRQwtDs\nQ6ItmERERETyXs496TazzYH9CE+tgbBwD/A24QlKMp2j4/FGl5Mfwly/4epwi4hU2mLgWcJiShcQ\nVi1vTViM7QB1uEVEREQ2ycWF1HYk7CG5OCF9MbB3inNapsjfxMy2dPei+ANm1okw9/vcqocrIpJf\n3H05cFG24xARERGpC3Kx010bzgc+TrGa60ZjxozZgbDC51zCtiEiIiIiIiJS/zUi7CQxumvXrsuq\ncqFc7HQvJSxw1iIhvQWb9sNMtChF/pVJnnI3Jmyt8Zc0Yjnu6quv/ue8efNo165dqQPLly/n9NNP\n55BDDtmYNnXqVF555RVuvvnmUnmHDBnCXnvtRbdu3TamzZo1i6effpoBAwbQtOmm9Yieeuopttxy\nS04/fdO2tYsXL+aBBx7gwgsvpHXr1hvTX3rpJZYsWcLFF1+8MW3t2rXccsstnHbaafzyl5u2Jy0o\nKOCDDz7gqquuKhXbzTffTJcuXVSOFOUYNGgQ7du3r/PlqC/1kY1y7LjjjlxyySV1vhz1pT5quxy/\n/OUvOe200+p8OepLfWSjHAUFBXTp0qXOlyOeypF+OWL1X9fLEaNyVL4cBQUF7LbbbnW+HFA/6qOm\nylFQUMDbb7/NrFmzaNWqFU2aNAGgefPm9O3b9wzCNpIZq0sLqc0jLKR2V5L8txMWUusYl/YcsF3i\nQmrR6rpDgV3c/cfy4hgzZszB119//fhnnnmGRo0aVbVYUgede+65PPHEE9kOQ7JIbSC/qf5FbSC/\nqf5FbSB/rV27lrPOOoubb775kK5du06oyrVy8Uk3wD3Ak2b2ATAF6A80Bp4EMLPbgFbufk6U/yGg\nT7SK+eNAV6AHkGzl8vOBlyvqcEfWAjRq1IjGjRtnXhqpsxo2bKi6z3NqA/lN9S9qA/lN9S9qA0I1\nTDPOyU63uz8f7cl9E2GY+IfAce7+fZSlJbBbXP65ZnYCcC9wObAAON/dS61obmY/Aw4G4vfvFhER\nEREREakROdnpBnD3oYRh4MmOlVl13N3HErYaK++aXxJWRk/bDz/8UJnsUs8sXpy4KL7kG7WB/Kb6\nF7WB/Kb6F7UBqQ45t093rlm6dGm2Q5AsWrhwYbZDkCxTG8hvqn9RG8hvqn9RG5Dq0HDQoEHZjiFn\nzZkzZ+cddtjh4gMOOIDNN9882+FIFrRs2ZIOHTpkOwzJIrWB/Kb6F7WB/Kb6F7WB/LV+/XqWLl1K\nmzZtHtlzzz2r9O1LTq5enivGjBnza+CD9u3bawEFERERERGRPFFYWMjnn38OsF/Xrl2nVeVaOTun\nW0RERERE8ldhYSELFy7E3Qk7CItUTeyBc6NGjWjZsiWbbVY73WF1ukVEREREJKcUFhby7bff0qZN\nm1rrGEl+cHdWr17NnDlzaNWqFVtvvXWN31MLqVXgrrvuynYIkkV9+vTJdgiSZWoD+U31L2oD+U31\nnz0LFy5Uh1tqhJmxzTbbsPvuu7NkyZJauac63RXYb79ydyGTeq5Lly7ZDkGyTG0gv6n+RW0gv6n+\ns8fd1eGWGrXFFltQXFxcK/fSQmrl0EJqIiIiIiK1b/bs2bRt2zbbYUg9V147q86F1PSkW0RERERE\nRKSGZNTpNrPWZnZoQlpHM3vazP5tZidXT3giIiIiIiIidVemT7qHAINib8ysBfAO8DvgcGCEmf2u\nytHlgI8//jjbIUgWTZo0KdshSJapDeQ31b+oDeQ31b+IVIdMVyfoBNwf9/5sYCvgF8Ac4D/AAGBk\nlaLLAc8//zy///3vsx2GZMmQIUPo3Llzjd9n+eplFK79qcJ8jRtty3Zb75DxOVJ5tdUGJDep/kVt\nIL+p/kWkOmTa6W4GxK+v/lvgXXefDWBmI4FbqxKYmfUhdNxbAjOAvu7+fjn5jwQGAz8H5gG3uPtT\nCXmaRnGdEpVhLnCFu/8n1XUHDhxYlWJIHffYY4/Vyn0K1/7En4adWmG+e84fsbEDnck5Unm11QYk\nN6n+RW0gv6n+JV+sW7eOLbbYolRaUVERW265ZZYiql8y7XR/D+wOYGbbAZ2BaxKum/Ea/2bWk9CB\nvgiYAvQHRpvZz9x9aZL8ewCvA0OBXsDRwGNm9p27vxXl2Rx4G1hEGAb/XVSG5eXF0qhRo0yLIfWA\nVq0XtYH8pvoXtYH8pvrPTemO9qtJdXEk4bvvvsvdd9/Na6+9VubYyJEjufvuuznooIPYZptt+Oqr\nr2jfvj0333xzle75xhtv8Nlnn9GgQQNmzpzJDTfcwG677Vala8YrLCxkyJAhLF++nI8//pjdd9+d\nQYMG0bx582q7R3XItGP8NnC5ma0EjiTMDX857ngHYH4V4uoPPOzuTwOY2R+BE4DzgDuT5L8E+Nrd\n/xy9/yJa6K0/8FaUdj6wHdDZ3WMbss2rQowidUpl/oOqi/+RiIiISH5Id7RfTapLIwlffvll3nrr\nLVavXs2CBQuS5nF31q1bx8svv8zOO+/MBRdcwEUXXVSl+z777LO0a9eOK6+8EoBhw4Zxww038MQT\nT1TpuvHuvvtuLrroIlq2bAlAjx496N69O2PHjmXzzTevtvtUVaad7muAnwF3A+uAAe4+B8DMtgRO\nA57L5MLRE+n9iBue7u5uZm8DB6U4rTPhi4B4o4F7496fCEwEhppZd8LT+ueAO9y9JJNYRZLJ1bnW\nlfkPqi79RyIiIiIiqZ188smcfPLJDB8+nBkzZqTM99BDD3HwwQdXyz2nTp1KixYtSq2J8M0339Cs\nWbNquT6E4e+PPfYYjRs3ZsCAAQD06dOHHj168Oabb3LSSSdV272qKqPVy919sbsfAmwPNHH3+EXV\nGgBdiVvdvJJ2BBoCixPSFxPmdyfTMkX+JtGXAAB7Ar+P4usG3ARcCZQ7afvhhx9OO3Cpf2644YZK\nnxPr3Fb0yvawKElPJm1A6g/Vv6gN5DfVv0hmxo0bxzHHHLPx/dKlS3nrrbfo379/td2juLiYZs2a\nUVhYuDEtNnR97ty51Xaf6pDxvGsAd1+RJG0NYeGzXNOA0BG/yN0dmG5muxIWa0s5WSHX5gNI7dp1\n112zHYJkmdpAflP9i9pAflP9S01ZtWoVBx98MO+++y7bb789AMOHD+f999/nnnvuyUpM77zzDpMn\nT2b9+vV89dVX3H777Rk9mV6wYMHGzm+fPn2YO3cuzZs357rrrqvWv1ONGzfmww8/LJU2b16YPdy6\ndetqu091yOhJt5l1NbOrEtLOM7N5ZrbYzO41s4YZxrQUKAZaJKS3ICyClsyiFPlXuntR9H4h8GXU\n4Y75DGhpZim/fFiwYAGdOnWiV69epV7HHnsso0aNKpW3oKCAXr16lbnGVVddxTPPPFMqbcaMGfTq\n1Ytly5aVSr/tttu4//77S6UtWLCAXr168eWXX5ZKf+SRR8p8A1tYWEivXr3K7Cs5YsQI+vTpUya2\n8847T+UopxzLli2rUjmK15cw/cXF/Dh/ban0hTNX8ZerbywT24yXl7Dky9Wl0pbOKWT6i4kDOeBv\ng25jwYzST8tXLipi+ouLWVdYXCr9tttuY9jDT5ZKW7NiA9NfXMzqZetKpc+buoK7b7+3VFqu1Ec2\n2tUuu+xSL8pRX+qjtstx5JFH1oty1Jf6yEY54uc01uVyxFM50i9HrP7rejli6mI56quJEyfi7hs7\n3ACvv/46rVq1yko8DRs2pE2bNvTv358///nPtGvXjrPOOiuja40dO5YjjjgCgAcffJBRo0bRr18/\n/va3v1VnyEmNGDGCdu3accIJJ1T6vJ49e7L33nvTrVs3evXqxbnnnktBQUG1xGW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PAAAg\nAElEQVTVv6gN5DfVv9SUiRMn4u4bO9wAr7/+Oq1atar2e7k7L774IqeddlrS4ytWhEXhEtew2nrr\nrTceq4yxY8dyxBFHAPDggw8yatQo+vXrx9/+9rdKX6siFZUtV2T6pPt9wnxoERERERERqYQJEyZw\n4IGlF4ObMmUKF198cam0kpISzjnnHIqKwoZMicOnY3OY3Z2mTZvy2GNll6t65plnOPPMM1PG0qBB\neA7bsGHDUukbNmxgw4YNaZZokyVLlrDjjjuWSttiiy2YPXs2ixYtomXLlkDtlC1XZNrp7gu8ZmbT\novnXIiIiIiIikoYJEybQo0ePje9nzZrFypUry4yybdCgQZmt2Crj22+/Ze3atey5554p88Q6yCUl\nJaXSCwsLadKkSaXvmWwxs3nz5gGw2Wabup+1UbZckenw8n8SOuzDzWyFmX0arWIe/5pRjXFmzfjx\n47MdgmTRmLfeyXYIkmWJ+5NKflH9i9pAflP9S00oLCzkww8/pFOnThvTpkyZQocOHap9m+IxY8Yw\nbdo0LrvsMi677DIuuugiIGwJFlswevfddwfCE+oYd2fFihXssccelbrfvHnzks6tfvvtt2nbtm2Z\nJ+BVkU7ZckWmT7p/AJYBs6oxlpxUUFDA+eefn+0wJMHy1csoXPtTWnkbN9qW7bbeIaP7vPH6f8La\n+ZJz0m0DVal/gBEjRnDCCSdkfL7Ubap/URvIb6p/qQmTJ0+muLi41P7QkyZNolOnTmzYsIFhw4Zt\nHGaeOAQ7lVRDsM8++2zOPvvsje/nz5/PiBEj6N+/PwcdFNYuat26NXvuuSdfffUV++yzDwBffvkl\nRUVFHHbYYZUq24QJEzYOV49Zs2YNr732WpmOcG2ULVdk1Ol29yOrOY6clWvfkkhQuPYn/jTs1LTy\n3nP+iIw7XYPvvyPt+0jtSrcNVKX+AR5//PGMz5W6T/UvagP5TfUvNWHChAkArFu3Dgirb48ZM4YB\nAwYwceLEUkPMqzoEO1FsjnZxcXGp9J49e/Lvf/+bE088EQgrqXfr1m3jFwPDhw/n1ltvZezYsaUW\nf0u0fPlyCgsL2bBhw8ah5DfddBOHHnpombnXtVW2XJDpk24REREREZFaZ1s1ZadrJ2c9hkxNnDiR\nAw44gIEDB9K2bVtatWrF0KFDefzxx1m0aBHXXXddNUa6yeDBg3nppZcwM/r370+XLl244447AOjX\nrx833XQT11xzDU2aNGHJkiU8+OCDG88tKSlh3bp1TJ06tdT+24lKSkro3bs3d9xxBw0bNmTx4sW0\nadOGW265pUbKlE7ZcoE63SIiIiIiUmc0bNIcmjTPdhgZKSoqYtq0aYwcOZLOnTuXOnbkkUfW6L2v\nvPJKrrzyyqTHNttsM2666aaU555xxhmcdNJJjB07NmWeBQsWsMsuu9CsWTMGDhxY5Xgro7yy5YJM\nF1ITERERERGRSpg6dSpbbLEFBxxwQLZDqbQJEybQsWPHlMfHjx+fc3Opc4U63RW46667sh2CZNFf\nrr4x2yFIlvXp0yfbIUgWqf5FbSC/qf6lus2aNYvu3buX2RM7123YsIFPP/2UXXfdNWWexYsX07x5\n3RyBUNPU6a7Afvvtl+0QJIsOPlTf1uW7Ll26ZDsEySLVv6gN5DfVv1S33r17c//992c7jEpbuHBh\nqZXCk7n88strKZq6R53uCugf2/x2/Im/yXYIkmWnnqrV6/OZ6l/UBvKb6l8k2G233ap1j+18k1Gn\n28w+M7PrzGz36g4o7h59zGyOma0xs0lmVu7EBzM70sw+MLO1ZvalmZ1TTt7TzazEzEZWf+QiIiIi\nIiIiQaZPuucDfwVmm9lYM7vAzDJfNz+BmfUE/r+9Ow9zsrr///98uyIupcWKUvWDrQq1/ZZWLWq1\nrZWKRWut1UqNK2hdwKVaEFFZam1HRUHQqiBaBKX8gGmtijtDFbFoQRw3NgVERBZHQGTYef/+uO/R\nJJPMJJnM3Jnk9biu+5rJybnv+31yTiZzcs597juBgcAPgErgWTNL+fWKmbUDngSmAB2BYcAoM6u1\nnn2YdzCQfuk9ERERERERkTzIqdPt7l2A/YE+wG7ASGC5mU0ys9PMbOcGxnUNMMLdx7j7XOAyoBro\nkSb/5cBCd7/O3ee5+9+ASeFxvmBmOwCPAAOARZkE8tZbb+VYBCkGr8+cHXUIErEZM2ZEHYJESPUv\nagOlTfUvIvmQ8zXd7r7C3Ye6+w+BbwN3AN8H/knQAb/XzH6U7XHDDvsRBKPWNedy4AUg3apWR4fP\nx3s2Rf6BwAp3/3um8UyYMCHTrFKEHnrg4ahDkDxas76KZVWL693WrK/6Yp/hw4dHGLFETfUvagOl\nTfUfneDff5HG1VTtbKd8HMTd5wH9zexvBFO7f0swOn2pmS0E7gLuc/ftGRxub2BHYEVS+gqgfZp9\n9k2Tfy8z29XdN5nZcUB3gunnGWvqG7tLYRl8Vxk3jjs36jAkT6o3ruPaB+tfFGfIReW02r01AKNG\njWrssKSAqf5FbaC0qf6jY2Zs3bqVnXbKS3dFpJbNmzc32a3bGrx6uZntbmbnmtkzwBLgdILrq88K\nf58HDAfua+i5GhDjHsAY4PfuvjqbfVu0aNE4QUmzsNtuu0UdgkSsZcuWUYcgEVL9i9pAaVP9R2e/\n/fZj0aJFbN26NepQpMi4O+vWreODDz5osvuK57p6+Y5mdrKZjSMYUR4DtAb+CLR191+5+yR3f9zd\nfwncBvwuw8N/AmwD2iSltwGWp9lneZr8n7n7JuBbwP8BT5jZFjPbApwPnGZmm83soHTB3H333XTq\n1IlYLJawdenShcmTJyfkraioIBaL1TpGnz59GDt2bEJaZWUlsViMqqqqhPSysrJa9+5bunQpsViM\n+fPnJ6SPHDmSAQMGJKRVV1cTi8VqXYNUXl5Or169asXWo0ePoihH5WMrWTl/fULaJ4uqmT0peQIE\nzHnuE5ZWrktI+2z5JmZPWsHm6m0J6fcMu49FM9YkpG1Yu5XZk1awvmpzveXYtmU7syetYPWHGxPS\nP373c27qO7BB5bhlUFnG5SgrK+PBEaMzKseSmWu549ahGZfj7cmrGlSOPn36UD7xsYzKcc+w+2q1\nq7rKMa/i08S8GzZkVY5ieX+oHCqHyqFyqBwqR3MrR8uWLfnGN77BzJkzmTFjBu+///4X24IFC5g2\nbRpvv/12Qvobb7zBK6+8kpD2/vvvM336dCorKxPS3nrrLaZNm1Yr73//+19ef/31hLR33nmHadOm\nMX/+/IT01157jZkzZyakzZ07l2nTpjFnzpyE9FmzZvHqq6+qHBGX47333mPhwoW89tprjB8/nt13\n3/2L90C3bt1o3749Xbt2JRaL0b17dyoqKmq19VxYLvPYzWwV8DXgI+BRYIy7z6kj/++Ace6eUSff\nzGYAr7r71eFjIxhFH+7ug1PkvxXo6u4d49LGAa3c/WQz25Wg4x3vL8AewFXAAnev9TXalClTDgdm\ndejQQd90FphlVYszmiYMwVThtq3bZbxPTf5sztMc9mnM1yyXfZrDayYiIiIipam6upq5c+cCHNG5\nc+fXG3KsXKeXTwa6AP/n7v3q6nADuPv4TDvcoSHA783sfDPrANwPtARGA5hZmZnFr3B1P/BNM7vN\nzNqbWU/gzPA4uPsmd383fgPWAOvcfU6qDneNESNGZBG2FJvkEV8pPcmjBFJaVP+iNlDaVP+iNiD5\nkOvKBA8BczzNMHl4P+3D3D2ne2G7+4TwGDcTTBN/AzjJ3Wvmf+4LHBCXf7GZnQIMJRi5Xgpc5O7J\nK5pnranm+Uth2q/tfizbEnUUEqX9998/6hAkQqp/URsobap/URuQfMh1pHsqcGIdz3cO8+TM3e91\n93buvpu7H+PuM+Oe6+7uJyTlf8ndjwjzH+LuY2sfNSF/d3f/TX1xnH766bkXQpq9c87PdCkCKVaX\nXHJJ1CFIhFT/ojZQ2lT/ojYg+ZDrSLfV8/yuBIuhidRrzfoqqjeuqz8j0LLFnl/cyklERERERKTQ\nZdzpNrMDgXZxSR3M7CcpsrYCLgU+aFhoUioyvXcyJN4/WUREREREpNBlM728O/AfgmnjDtwY/p68\nPQZ0AsryGWhUlixZEnUIEqGF7y+KOgSJWPItWKS0qP5FbaC0qf5FbUDyIZtO9wTgt0A3gunldwNn\nJW2/BboC+7v7Q/kNNRoPPPBA1CFIhIbcPqz+TFLUbrzpBpZVLa53W7O+qv6DSbMzaNCgqEOQiKkN\nlDbVv6gNSD5kPL08vC3YHAAz6w685O5FPwx4xRVXRB2CROjGgX0Z/LTaQCm7vv8fM763ty59KD63\n33571CFIxNQGSpvqX9QGJB9yWkjN3R+uP1dxaNOmTdQhSIT2a7tf1CFIxNQGSptuFSNqA6VN9S9q\nA5IPGXW6zewhguu4L3H3beHj+ri7X9Sg6ERERERERESasUxHuk8AthNcA74tfOz17FPf8yIiIiIi\nIiJFLaOF1Ny9nbt/0923xD0+qJ7tm40betMYP3581CFIhB4cMTrqECRiagOlbdgwLaZY6tQGSpvq\nX9QGJB+yWb28JG3atCnqECRCGzZuiDoEiZjaQGmrrq6OOgSJmNpAaVP9i9qA5IM63fW44IILog5B\nInTF1ZdHHYJETG2gtPXr1y/qECRiagOlTfUvagOSD5kupLad7K/RdnfPaXV0ERERERERkWKQaaf4\nZpp4YTQz6wX0BvYFKoEr3f1/deQ/HrgT+A6wBPhL/K3NzOx04AbgYGBnYAFwp7s/0lhlEBERERER\nkdKWUafb3Qc1chwJzKwbQQf6EuA14BrgWTM71N0/SZG/HfAkcC8QA34OjDKzZe7+fJitCrgFmAts\nBk4F/m5mK+Ly1LJ27dp8FUuaodWfro46BImY2kBpq6qqonXr1lGHIRFSGyhtqn9RG5B8KNRruq8B\nRrj7GHefC1wGVAM90uS/HFjo7te5+zx3/xswKTwOAO7+krv/O3x+kbsPB94EjqsrkDvuuCMf5ZFm\nqn+/P0UdgkQs2zawZn0Vy6oWZ7StWV/VSFFLvlx55ZVRhyARUxsobap/URuQfMj0mu7zw1/HurvH\nPa6Tu4/JNiAz2xk4Avhr3HHczF4Ajkmz29HAC0lpzwJD6zhPZ+BQ4MW64jn//IyKKkWq51WXMmrG\nTVGHIRHKtg1Ub1zHtQ+ekVHeIReV02p3fXteyPr27Rt1CBIxtYHSpvoXtQHJh0yv6R5NcE33eIKp\n2aMz2MeBrDvdwN7AjsCKpPQVQPs0++ybJv9eZraru28CMLO9gI+AXYGtQE93r6grmEMOOSS76KWo\nHPadb8OMqKOQKKkNlLaOHTtGHYJETG2gtKn+RW1A8iHTTvdBAO6+Of5xM7QO6AjsAXQGhprZQnd/\nKdqwREREREREpBhldE23u3/g7h8kP65vyzGmT4BtQJuk9DbA8jT7LE+T/7OaUe4wbnf3he7+prsP\nJbjuu86b791999106tSJWCyWsHXp0oXJkycn5K2oqCAWi9U6Rp8+fRg7dmxCWmVlJbFYjKqqxGs6\ny8rKGDZsWELa0qVLicVizJ8/PyF95MiRDBgwICGturqaWCzGjBmJQ3Pl5eX06tWrVmw9evSIvByP\njhnPvIpPE9K2bdnO7EkrWP3hxoT0p554JmU5Kh9bycr56xPSPllUzexJyRMgYM5zn7C0cl1C2mfL\nNzF70go2V29LSL9n2H0smrEmIW3D2q3MnrSC9VWbE9JT1Ue6cnz87ufc1Hdgg8pxy6CyjMtRVlbG\ngyNGZ1SOJTPXcsetiVdm1FWOtyevalA5+vTpQ/nExzIqxz3D7qvVruoqR3K72rBhQ1bl6NGjB1Oe\nn5pROW4ZVFbr/ZGuHO9NW12rXRX7+1zlUDlUDpVD5VA5VA6Vo1DLUV5eTrdu3Wjfvj1du3YlFovR\nvXt3KirqnBSdMXPP/U5gZrYjwfXX7cKkxcAsd9+Wbp8MjzsDeNXdrw4fG8FtwIa7++AU+W8Furp7\nx7i0cUArdz+5jvM8CBzk7ieken7KlCmHP/3007OuueYaWrZs2ZAilZQ166uo3riu3nwtW+xJq91b\ns6xqcVbXwLZt3a5R96nJD3D3/Xcx/bOxde+QtE8u52mKfQr5dS7kfbJtA7m8ZlK4xo4dy3nnnRd1\nGHmx7bOV+IbM7shhu32FHffap1H3qcmfTWzx+zSVYmoDkj3Vv6gNlK7q6mrmzp0LcETnzp1fb8ix\nMp1eXouZXQiUAfsAFiY7sMrMbnD3hxoQ1xBgtJnN4stbhrUkvJbczMqAtu5+QZj/fqCXmd0GPEQw\ndfxM4IsOt5ldD8wE3ie4pvsU4FyCldHTWrBgQQOKUZoyXUiqOSwiNeedOXBA1FFIlNQGStubb74Z\ndQhpZdtR9Q1rWVV2VEbH/nq/V6GR96nJD+S0T1N11Au5DUjjU/2L2oDkQ06dbjO7FLgPeAMYBNSM\n17cHLgUeMLNd3P3+XI7v7hPMbG/gZoJp4m8AJ7l7zfzPfYn7N9jdF5vZKQSrlV8FLAUucvf4Fc13\nB/4G7A9sILhf9znuPqmuWK666qpciiBF4qZB/TIetZTipDZQ2gYPrjW5qlHk0oHMpaNaTJqqo95U\nbUAKk+pf1AYkH3Id6e4LTAN+7u5b4tKnhlO2K4DrCEagc+Lu9wL3pnmue4q0lwimuqc7Xn+gf67x\niIiINJZS70A3lUIeURcRkeKVa6d7X+DOpA43AO6+xczGA7c3KDIRkRKR7ToIUtjUSSsu+kJEREQa\nKtdO92zg0DqeP5RgSriIiNSjmNZBEHXSSl0ui8+JiEhxy7XTfSUw2cwWAiPdfQOAme1GsDDZWcQt\nYtac9e/fn4kTJ0YdhkTkikv/wC6doo5CoqQ2UNrOPusMxt59a7351HkqXuf17M2QLBZTzGXxOSlc\nsViMcePGRR2GREhtQPIho063maVatm8bwSrjt5vZsjCtbXjMjwlWGu+YYr9m5bTTTos6BInQ2ed2\no3z+HVGHIRFSGyhtPX73a41al7ge55wJL01r1HPokoTCdfHFF0cdgkRMbUDyIdOR7k8JbgcWrwpI\nvp/W4oYGVGiOPPLIqEOQCB3742Mon19/PileagPFI5eOzc+OPZpVLzV2ZFLImqIN6JKEwnXCCSdE\nHYJETG1A8iGjTre7H9/IcYiIiDQqdWykmGh0XESk+cj1mm4RERERiYi+RBIRaT4a1Ok2s52BDsBX\ngB2Snw/vnd2sTZ8+nQ4dOkQdhkRkyvNTow5BIqY2UJiaaoXop154kR/mtKcUi2JqAxodz97kyZM5\n5ZRTog5DIqQ2IPmQU6fbzHYAyoCeQMs6su6Yy/ELSUVFBRdddFHUYUhEnnryGfhe1FFIlNQGClNT\nrRD9r8nP8UP1PUpaMbUBjY5nr7y8XB2uEqc2IPlQa3Q6QzcAfYBHgPMBA64nuF3Ym0AlcFI+Aoxa\n//79ow5BInTnsNuiDkEipjZQ2h4Y+peoQ5CIlXob2PbZSrauWFDvtu2zlVGH2igeeuihqEOQiKkN\nSD7kOr38QmCCu19uZq3DtFnuXmFmDwP/BU4AXshDjCIikmTN+iqqN66rN1/LFnvSavfW9eaLUlNN\nFReR7Gl0XESk4XLtdO8P3B7+vin82QLA3Teb2SPAtQQj4iIikmfVG9dx7YNn1JtvyEXlBd/pbqqp\n4iLSNHTtuIhIolw73VXAHgDu/rmZfQZ8MynPVxsSmJn1AnoD+xJMV7/S3f9XR/7jgTuB7wBLgL+4\n+8Nxz19MMBX+u2HSLOCGuo4pIiIiItnR6LiISKJcr+meDQmLeU4F/mBmx5rZj4GrCDrKOTGzbgQd\n6IHAD8JjPWtme6fJ3w54EpgCdASGAaPM7MS4bD8FxgHHA0cDHwLPmdl+dcUyePDgXIshReCmvgOj\nDkEipjaQvWK6BvSqG26OOgSJmNpAaevVq1fUIUjE1AYkH3Id6R4JXGhmu7r7JuBG4KVwM2A1cHYD\n4roGGOHuYwDM7DLgFKAHX05rj3c5sNDdrwsfzzOz48LjPA/g7ufF7xCOfJ8BdCZYEC6lI444ogHF\nkObuR8cdwwsr3446DImQ2kD2immU6/hjj4I3J0cdhkRIbaDxFfK6DieccEKTnUsKk9qA5ENOnW53\nfxx4PO7xu2b2LYJR5G3AK+7+aS7HDu/9fQTw17jju5m9AByTZrejqb1o27PA0DpOtTuwM1BnnKX+\nRiumxZpycfKpv+CFBx+IOgyJkNpAafvNKSex6s0BUYchEVIbaHyFvK7DGWfUv3aGFDe1AcmHXEe6\na3H3tcC/83CovQnu770iKX0F0D7NPvumyb9X3Gh8stuAj9AK63UqpsWaREREpDgU8ui4iEiyBnW6\nzeyXwMlAuzBpMfCUuz/ZsLAal5ldD5wF/NTdN0cdj4hIodIqxCJSiAp5dFxEJFlOC6mZWSszm0ow\nsn0xwYrh3wl//7eZ/cfMWuUY0ycEU9TbJKW3AZan2Wd5mvyfJY9ym1lv4DrgRHd/p75gBg0aRKdO\nnYjFYglbly5dmDw58RqviooKYrFYrWP06dOHsWPHJqRVVlYSi8WoqqpKSC8rK2PYsGEJaUuXLiUW\nizF//vyE9JEjRzJgQOKUt+rqamKxGDNmzEhILy8vT7kQRI8ePTIux5znPmFpZeJU88+Wb2L2pBWs\n/nR1Qvp701azaMaahLQNa7cye9IK1lclfs/x6JjxzKtInOW/bcv24LgfbkxIf+qJZ1KWo/Kxlayc\nvz4h7ZNF1cyelDwBou5ybK7elpB+U9+BGZcjVX2kK8fH736ecoGubMpxy6CyjMtRVlbGgyNGZ1SO\nJTPXcsetiVdm1FWOtyevalA5+vTpQ/nExzIqxz3D7qv1/qirHMntasOGDVmVo0ePHjxw34MZleOW\nQWW13ufpypHN+yNVOaqrq7ni0j9kVY7JkyezZn0Vy6oWs6xqMRMf+we/OfPXXzyu2XpeeSkjHrz/\ni319w1pe7H0UZ514FPMHHsWqsi+3gd2Oouyc4PeajvnSpUs5r2dvFib10x+dA3fMTEyr3rAx+Hs1\n642E9MmL4MbptYrBH1+Ep154MSFt+jLoVVE7759fhfIFiWlvvjOXXhWwOvFl4543YFTSZfs1f3cn\nPfFMveXYsBXO69m71t/dusoxZUli2tTpMzIuxxefH6sT21Cqciz7PIgt+fMjXTl6VcCspOadTTkq\nKio4r2fvjMrx5jtzU34OpitHrwpYsHBxzuUoLy9PuShauvqo+RyMb5+pyvFuVXC+TOujVwW13h+j\nHpmQVTlSfQ6mKsf0ZWRcHzXlSH5/3Hb3yIzLkepzsK52lWl9ZPM+T1eOXP+/qnlfN+b/V8Xyf2Kx\nlmPGjBlFUQ4ojvporHKUl5fTrVs32rdvT9euXYnFYnTv3p2KihR/fHJg7p79TmYPA+cA1wP3ufv6\nMH13oCdQBjzq7hfkFJTZDOBVd786fGwEtwEb7u61lhM3s1uBru7eMS5tHNDK3U+OS7sO6Ad0yeRW\nYVOmTDm8f//+syZOnEjLli1zKUqzt6xqccbTy9u2bpfTPpnmb6p94svymzN/zS6dPsxqn6Z4zXLZ\np5Bf50LeJ9s2UGyv2dYVCzJeFG2nNofktE+m+Ztqn/iynH3GaQw5YFpW+zTFa5bLPoX8OhfyPtm2\nAb1mhds2c5m5E4vFGDduXEbnkeKkNlC6qqurmTt3LsARnTt3fr0hx8p1evmvgXvd/Y74xLDzPdjM\nDiS4J3auhgCjzWwW8BrBKuQtgdEAZlYGtI3r1N8P9DKz24CHCFYkP5Ng6jvhPn2BPxGsqr7EzGpG\nxj+v+dIglRtvvLEBxZDmbvBdZdw47tyow5AIqQ2UthF33sL6u34adRgSIbWB4pHLnRVGjRrV2GFJ\ngVMbkHzItdO9BZhXx/Nzwzw5cfcJ4T25byaYJv4GcJK718yb3Bc4IC7/YjM7hWC18quApcBF7h6/\nSNplBKuVT0o63Z/C86TUokWLXIshRWC33XaLOgSJWDG1gVYYt596W0b5JNBytxak/VZWSoLaQGnb\ndevnbF3xUb35tK5F8SrV2a6SX7l2usuB35rZ/e6ecLGime1EsEjZxIYE5u73Avemea57irSXCG41\nlu54BzUkHhGR5m6HzevZecRZ9efr+3ITRCMiUvhyGR0XEUmWUafbzA5PSnoEuAd4xcxGAu+F6YcA\nlwC7AI/mK0gRERERERGR5ijTke6ZQPKKazXzD38Y91z8nMQXCe633ayNGDGCoUOH1p9RitIdtw6F\nr0cdhURJbaC0DRo8nNrrrkopURsobbnUv261WFwGDBjAzTenvRJVJCOZdrprTecuFfvsoz+GpWy/\ntvuxLOfVCaQYFGobaKrrs7clXkFUZ75cr1cqZPvvty/Uv3i9FDG1gdKWS/1rSnpx2X///aMOQYpA\nRv8jufvDjR1IoTr99NOjDkEidM75v2PWgw1ankCauUJtA011fbb79rzma24uPvcsVpXdGXUYEiG1\ngdLWVPWv0fHCdckll0QdghSBBg9MmNkefLmS+Ifu/nlDjykiIiIiUio0Oi5S3HbIdUcz+6GZTQVW\nA2+H22ozqzCzI/MVoIiIiIiIiEhzldNIt5kdBfwH2AyMAuaET30bOBt4ycyOd/fX8hFklJYsWUKH\nDh2iDkMisvD9RVGHIBFrijag+2cXrgULF9Mq6iAkUmoDpa2Q619T0pvG/PnzOfTQQ6MOQ5q5XKeX\n/wX4CDjO3ZfHP2Fmg4DpYZ4TGxRdAXjggQfo0qVL1GFIRIbcPoxdOkUdhUSpKdqA7p9duG6+4x6G\nHFB/PileagOlrZDrX1PSm8agQYMYN25c1GFIM5fr9PKjgBHJHW4Ad18BjASObkhgheKKK66IOgSJ\n0I0D+0YdgkRMbaC0ld3UO+oQJGJqA6WtmOp/22cr2bpiQUbbts9WRh1uwbj99i+ckJYAACAASURB\nVNujDkGKQK4j3dvr2XfHME+z16ZNm6hDyJs166uo3riu3nwtW+xJq91bN0FEhW+/tvtFHYJELNs2\nkOlU8Zq8xaiYbjO2f9t9WRV1EBIptYHSVkz1n+nIOGh0PJ5uGSb5kOv/O68AvcxsnLt/EP+EmR0I\n9CSYYi4FpHrjOq598Ix68w25qFydbpEcZTpVHIp3unip32ZMRKRYZHrdOOjacZG65NrpvgF4CZhr\nZv8C5ofp7YHTgK1Av4aHJyIiIiIiUdDouEh+5HRNt7vPJrhm+xngV8CAcDs1TDva3SsbEpiZ9TKz\nRWa2wcxmmNkP68l/vJnNMrONZjbfzC5Iev4wM5sUHnO7mV2VSRzjx49vSDGkmXtwxOioQ5CIqQ2U\ntuEPjIk6BImY2kBpU/1nL9Nrx5vLdePDhg2LOgQpAjlfTufu7wCnm9kOwNfD5FWeh/mCZtYNuBO4\nBHgNuAZ41swOdfdPUuRvBzwJ3AvEgJ8Do8xsmbs/H2ZrCbwPTACGZhrLpk2bci+INHsbNm6APaKO\nQqLkGzdy+9m6nVep2rBxY9QhSMTUBkqb6j97xbaqenV1ddQhSBHIutNtZi2BD4Fb3X1w2Mlekee4\nriFYHX1MeM7LgFOAHkCqJQQvBxa6+3Xh43lmdlx4nOcB3H0mMDM8XmarHAEXXHBB/ZmkaF1x9eVc\n++ALUYchEbru8vNZfdtx9eYr1uuzm0KmC6/V5G3Kxdf6XnkJq8oebMIzSqFRGyhtqv+mUcj3HO/X\nT1fMSsNl/b+Lu1eb2VZgfSPEg5ntDBwB/DXunG5mLwDHpNntaCC5Z/QsWYxoi4hINLKZIKXF10RE\nik+xjY6LJMt1wKAcONPM7nN3z2dAwN4EtxxLHj1fQbBQWyr7psm/l5nt6u6aIy4iIiIiUiQKeXRc\nJFmune7xBNdPTzWzB4DFwIbkTO7+eu6hFYa1azO7TYIUp9Wfro46BMmjTO+hHX99dtXqNbmtOClF\noWr1mqhDkIipDZQ21X/haqrR8aqqKlq31q10pWFy/V/yP8BhwE+AMQS3D/tf3DYz/JmLT4BtQJuk\n9DbA8jT7LE+T/7OGjnL36tWLTp06EYvFErYuXbowefLkhLwVFRXEYrFax+jTpw9jx45NSKusrCQW\ni1FVVZWQXlZWVmuVxKVLlxKLxZg/f35C+siRIxkwYEBCWnV1NbFYjBkzZiSkl5eXc1PfgbViq3xs\nJSvnJ14pMH3af1OWY85zn7C0cl1C2mfLNzF70opandP3pq1m0YzED6oNa7cye9IK1ldtTkh/dMx4\n5lV8mpC2bcv24LgfJi5g8tQTz9CrV6+MyvHJompmT6q93EBd5dhcnXht6bndumdcjlT1ka4cH7/7\necb1ka4ctwwqy7gcZWVltVbhTleOJTPXcsetiVdm1FWOtyevalA5+vTpQ/nExzIqxz3D7qv1/qir\nHMntauPaKv7Q7SzevPksdh7x5fbc9Wcx6PwvH++wOYi9R48enHtp74RjTF8GvSpqFYN+f76z1vv8\n3aog7+qkdXjueQNGvZ2YtuzzIO/CpO/5Hp0Dd8xMTKuuruaCXn2ZlfRyTl4EN06vHVuPHj1q/b1K\nV44/vwrjyp/MuRxLly7lgl59MyvHho3EYjFenZV4s4t05fjji/D0lJcyLkf5gsS0N9+Zm1U5YrEY\nF//hhnrLsWErnNezd62/u3WVY8qSxLSp02dkXI4vPj+SOgPp2tV5PXvX+vxIV45eFWTcrlKVo6Ki\ngvN69q6VN119pPocrOv9sWDh4pzLUV5ezlU33JxROaZOn/HF5+AfbrylznLUvD8yrY9U7/NRj0zI\nqhypPgdTlWP6MjKuj3Tv89vuHplxOVJ9DtbVrjKtj2ze5+nKUVZWVmsl8rrqo6YcNfWfj/dHunL0\n6dOHRyc9nlE5brt7ZK3PwWw+P7Itx++vuTHjcvS9+fasPgczrY90n4Pn9eyd9edg/Mrqz/9zLGef\ncVqtVdX/2Ov3PPzAvV/se+WVV0byf3uq93mqz/NC7380l3KUl5fTrVs32rdvT9euXYnFYnTv3p2K\nihSNPQeWy+xwM7sQqHdHd384h5gwsxnAq+5+dfjYgCXAcHcfnCL/rUBXd+8YlzYOaOXuJ6fIvwgY\n6u7D64pjypQphy9YsGDWqaeeSsuWLXMpSkFZVrWYax88o958Qy4qp23rdk22T6b5m2qf+LK88NLT\njJpxU1b76HUuzPIDbPz43YwWRftq35dpsd9hALw25V8c8MRFGe+T6Tly2Sc+rmLaJ5fXbNPyuXx6\n648y2udr17/Crvt2YOuKBRmPiuzU5hAAXq94gv0er39Bzfh9cjlPU+yTaf6m2qc5vGaQfRvQa1Zc\nbVN/A9SeKysr6dixYz17SDGqrq5m7ty5AEd07ty5QTO4c5pe7u6jG3LSDAwBRpvZLL68ZVhLYDSA\nmZUBbd295q/g/UCvcFXyh4DOwJnAFx3ucIG2wwADdgG+YWYdgc/d/f10gRxyyCH5LZk0K4d959sw\no/58Ury+d1h7Vj8RdRSSrKkWX/vedzqw6vH680nxUhsobap/+e5B+7F1xYJ68+nacalLVp1uM2sB\nnAYcBFQBT7r7x/kOyt0nmNnewM0E08TfAE5y95p5rPsCB8TlX2xmpxCsVn4VsBS4yN3jVzRvC8zm\nyxH63uH2InBCvssgIo0rl+uzRURERLKhldUlHzLudJvZPsArBB3umv9iq83s10md27xw93sJFmtL\n9Vz3FGkvEdxqLN3xPiD3a9gLzpr1VVRvXFdvvpYt9qTV7lr8QYrPDpvXs/OIs+rPp/tni4iISBPJ\ndFV10Oh4KclmpLs/0I5gNLkCODhMGwF8K++RFYinn36aDh06RB1GLdUb12V8Pas63blLXuBLSs+4\n8ifpGnUQkhfbfFv9mcJ8NR+Oj056nC6NF5I0A2oDpU31L9m2gUxHxuHL0XHd/qz4ZdPp7gKMcfcv\nlsE0sxXAODNr7+7z8h5dAViwoP5rOKR4zXlnTtyFDNJYCnmq+FvvzqPrLk1+WmkEmV7bHZ/vzXfn\n0mXnxopImgO1gdKm+pemaAOawl78sul0Hwgk/1f8MsFU8zZAUXa6r7rqqqhDkAjdNKhfxqt3S+4K\neap4Wf8/svq2fzX5eaUw3DbgOlaVlUcdhkRIbaC0qf6lUNuARsebl2w63bsCSXfZ++JxTqugi4iI\nFLJcpqSLiIg0tlxGx9VRj062/yO0M7PD4x5/Jfx5iJmtSc7s7g26n5mIND+FPFVcJFu5TEkXEREp\nROqoRyfbTvefwy1Z8irjRnBrrh1zCUpEmq9CniouIiIiIpnT9eb5kU2nu9ZtukpB//79mThxYtRh\nSESuuPQP7NIp6igkShf06stdB0YdhUQll/rXlPTicl7P3gzRgpolS/UvagPZ0+h4bRl/3rv7w40Z\nSKE67bTTog5BInT2ud0on39H1GFEJtOp4jV5i1H32Bnw8vSow5CI5FL/mpJeXHqccya8NC3qMCQi\nqn9RG8hetqPjpXBvc33JXo8jjzwy6hAkQsf++BjK50cdRXQynSoOxTtd/PhjO7G6OIsmGWiq+tfo\neOH62bFHs+qlqKOQqKj+RW2g8TXmvc2hMDrq+uwuAGvWV1G9cV29+Vq22JNWu7dugoikGGnUWqRw\naXRcREQkc43ZUW+MTro63QWgeuO6jO4FPeSicnW6JWcatRYpLhodFxERyVyUi8Lpc7ge06dPp0OH\nDlGHIRGZ8vzUqENIS7fmahpPT3mJo6MOQiJTyPWv0fGm8dQLL/LDqIOQyKj+RW1A8mGHqANIx8x6\nmdkiM9tgZjPMrM72bmbHm9ksM9toZvPN7IIUeX5rZnPCY1aaWdf64hg/fnxDiiHN3IMj/x51CGnV\njFzXt+2weX3UoTZrfxv1SNQhSISKqf4zHRnPNm+xu/uBMVGHIBFS/YvaQGmrqKjIy3EKcqTbzLoB\ndwKXAK8B1wDPmtmh7v5JivztgCcJ7hceA34OjDKzZe7+fJjnR8A4oC8wGTgHeMzMfuDu76aLpVWr\nVnksmTQ3X/va14DG77Rq1Lpwtf7aV6MOQSJUTPWfzYh3Td5sO+oF+U9FA+3dunjagGRP9S9qA6Vt\n6tSpnHDCCQ0+TqF+Pl4DjHD3MQBmdhlwCtADuD1F/suBhe5+Xfh4npkdFx7n+TDtKuBpdx8SPh5g\nZicCVwA98xV4pouigRZGK1a5dKAzvd5a11qLSFNqzI56sXbSRUREkhXc552Z7QwcAfy1Js3d3cxe\nAI5Js9vRwAtJac8CQ+MeH0Mwep6cJ6834s50UTTQwmjNwc6gDrSISBZyudY8l466OvciItJcFOLn\n0N7AjsCKpPQVQPs0++ybJv9eZraru2+qI8++DQtXmoucpnBv36YOtIhII8ulo95UnXvHs9pHU/JF\nRCSZ/tbXrcV7773HZ8vfY9NOda85Z7vswS577UOLTdv46yl3ZHbwTduorq7OeJ+a/DW/F8s+jfma\nxe+zaf06mHhDvfk3XfgQ7BaU5e05C9jy/YPr3WfDlu1sD8u/act2tnyt8PbJNH9T7dMcXjPIvg3o\nNSuutqm/AUXWnjdvzWif6s1b2Rbu89a789nSMfN9Mj1H/D6bN23JaJ/PN21hlzCuYton0/xNtU98\nWd58d15G9a/XuWGvcyHvk20b0GtWPG1z48aNNUktMjpRHcw9s29wm0o4vbwaOMPdH49LHw18xd1P\nT7HPi8Asd782Lu1CYKi7fzV8/AFwp7sPj8szCDjN3X+QKpYpU6bE7r777kdXrlxZ67mf/exnebmo\nXgpbRUWF6rnEqQ2UNtW/qA2UNtW/qA2UhoqKCqZOrX2r4H322Ycrr7zynM6dO49ryPELrtMNYGYz\ngFfd/erwsQFLgOHuPjhF/luBru7eMS5tHNDK3U8OH48HdnP30+LyTAcq3T3lQmpTpkxpDZwELAY2\npsojIiIiIiIiRacF0A54tnPnzlUNOVChdrrPAkYDl/HlLcPOBDq4+yozKwPauvsFYf52wFsEtwx7\nCOgM3AWc7O4vhHmOAf4D9CO4ZdjZwPXA4XXdMkxEREREREQkVwV5Tbe7TzCzvYGbgTbAG8BJ7r4q\nzLIvcEBc/sVmdgrBauVXAUuBi2o63GGe/5pZDPhLuC0gmFquDreIiIiIiIg0ioIc6RYREREREREp\nBnUvyS0iIiIiIiIiOVOnW0RERERERKSRqNOdhpn1MrNFZrbBzGaY2Q+jjkkah5n92MweN7OPzGy7\nmf0qRZ6bzWyZmVWb2fNmltmNAaXgmVk/M3vNzD4zsxVm9i8zOzRFPrWBImRml5lZpZmtDbdXzOwX\nSXlU9yXCzK4PPweGJKWrDRQpMxsY1nn89m5SHtV/kTOztmY21sw+Ceu50swOT8qjdlCEwv5e8t+A\n7WZ2d1yeBte9Ot0pmFk34E5gIPADoBJ4NlzcTYrP7gSL9fUEai1yYGZ9gSuAS4BOwHqC9rBLUwYp\njebHwN3AUcDPgZ2B58xst5oMagNF7UOgL3A4cARQAfzbzL4NqvtSEn65fgnBZ358utpA8XubYOHe\nfcPtuJonVP/Fz8xaAdOBTQS3Cv428EdgdVwetYPidSRfvvf3BU4k6A9MgPzVvRZSSyHNfcI/JLhP\n+O2RBieNysy2A79298fj0pYBg919aPh4L2AFcIG7T4gmUmks4ZdrK4GfuPvLYZraQAkxsyqgt7v/\nXXVfGsxsD2AWcDnQH5jt7teGz6kNFDEzG0hwN5vD0zyv+i9yZnYrcIy7/7SOPGoHJcLMam47fWj4\nOC91r5HuJGa2M8Fox5SaNA++mXgBOCaquCQaZnYQwbde8e3hM+BV1B6KVSuCbzg/BbWBUmJmO5jZ\n74CWwCuq+5LyN+AJd6+IT1QbKBmHhJeYvW9mj5jZAaD6LyGnAjPNbEJ4mdnrZnZxzZNqB6Uj7Aee\nAzwYPs5b3avTXdvewI4E32DEW0Hwoktp2ZegA6b2UALCWS13AS+7e801fWoDRc7Mvmtm6wimFt4L\nnO7u81Ddl4Twi5bvA/1SPK02UPxmABcSTCu+DDgIeMnMdkf1Xyq+STDLZR7QBbgPGG5m54XPqx2U\njtOBrwAPh4/zVvc7NTg0EZHicS9wGHBs1IFIk5oLdCT4oD0TGGNmP4k2JGkKZrY/wRdtP3f3LVHH\nI03P3Z+Ne/i2mb0GfACcRfC3QYrfDsBr7t4/fFxpZt8l+BJmbHRhSQR6AE+7+/J8H1gj3bV9Amwj\nWFAjXhsg7xUgBW85YKg9FD0zuwc4GTje3T+Oe0ptoMi5+1Z3X+jus939RoKFtK5GdV8KjgC+Drxu\nZlvMbAvwU+BqM9tMMJqhNlBC3H0tMB84GP0NKBUfA3OS0uYAB4a/qx2UADM7kGBB3QfikvNW9+p0\nJwm/6Z4FdK5JC6ecdgZeiSouiYa7LyJ4U8W3h70IVrpWeygSYYf7NOBn7r4k/jm1gZK0A7Cr6r4k\nvAD8P4Lp5R3DbSbwCNDR3ReiNlBSwkX1DgaW6W9AyZgOtE9Ka08w40H/B5SOHgRftD5Vk5DPutf0\n8tSGAKPNbBbwGnANwcI6o6MMShpHeN3WwQTfZAF808w6Ap+6+4cEUw9vMrP3gMXAn4GlwL8jCFfy\nzMzuBc4GfgWsN7OabzPXuvvG8He1gSJlZn8FngaWAHsSLKDyU4Lr+kB1X9TcfT2QfE/m9UCVu9eM\nfKkNFDEzGww8QdDB+gbwJ2ALMD7MovovfkOB6WbWj+A2UUcBFwO/j8ujdlDEwgHWC4HR7r496em8\n1L063Sm4+4TwtkE3E0wfeAM4yd1XRRuZNJIjgakECyU4wT3aIVhEoYe7325mLYERBCtbTwO6uvvm\nKIKVvLuMoN7/k5TeHRgDoDZQ1PYheK/vB6wF3gS61KxirbovSQn3UlUbKHr7A+OA1sAq4GXgaHev\nAtV/KXD3mWZ2OnArwS0DFwFXu/v4uDxqB8Xt58ABwN+Tn8hX3es+3SIiIiIiIiKNRNd0i4iIiIiI\niDQSdbpFREREREREGok63SIiIiIiIiKNRJ1uERERERERkUaiTreIiIiIiIhII1GnW0RERERERKSR\nqNMtIiIiIiIi0kjU6RYRERERERFpJOp0i4iIiIiIiDQSdbpFRESKnJktNrOHoo6jhpkNMrPtUcfR\nHOi1EhFp/tTpFhGRJmVmF5jZ9rhti5ktNbO/m1nbqONrrszsGDMbaGZ7pXh6O+BNHVMdnCAmqZ9T\nWHUnIiJZ2inqAEREpCQ50B9YDLQAjga6A8ea2XfdfXOEsTVXPwIGAH8HPkt6rj2F1cn9M1AWdRAi\nIiJNQZ1uERGJyjPu/nr4+0NmVgVcB/wKmBRdWM2WpXvC3bc0ZSD1cfftgL5YERGRkqDp5SIiUiim\nEXQcv5X8hJl1NbOXzOxzM/vMzJ40s8OS8rQJp6h/aGYbzWyZmT1mZgfG5VlsZo+b2YlmNtvMNpjZ\nO2Z2eopzHmRmE82syszWm9l/zezkpDw/DafI/9bMbgzPvcHMXjCzbyXlPdjMys3s4zDPh2b2DzPb\nMynfuWY208yqw3P/w8z2r+uFM7OBwO3hw8VhTNtqyp58TXfcFP9jzWy4ma00s9Vmdr+Z7WRmXzGz\nMWb2abjdluKcZmZ/MLO3w/IsD/dvVVes4b61rlMO4xluZqeZ2VthHb5tZifVd7xw/yvD/OvDmP9n\nZr9LytPWzB4KY605fvcUx9o1jHFeWLZlYd0dFJenpZndaWZLwmPNNbM/pjhWxuUys+PCuDeY2QIz\nuyRNWU80s2lhna0Lz/2XTF4nERFpehrpFhGRQlHToVkdn2hm5wGjgWcIRsJbApcD08zsB+6+JMz6\nT+DbwHDgA2Af4ETgQKAmjwOHAuOB+8PjdgcmmtlJ7j4lPOc+wH8Jpr4PAz4FLgAeN7Mz3P3fSbFf\nD2wDBgNfAfoCjwDHhMfbGXgO2DmMbznwDeCXQCtgXZjvRuDmML4HgK8DVwEvhmVNnjZeozws1++A\nq4GqMH1VXLlTuRv4mGBa+tHA74E1BFPVPwD6AScDvc3sLXd/JG7fkcD5wEPha3QQcCXwfTM71t23\npTlnTTypYvox8BvgXoLX5Cpgkpkd6O6rU+QHwMx+H8YwAbiLoN6+BxxF8FrW1OmrBPU0HPgE6Ao8\naGZ7uvvwMN8OwGTgZ8A/wuPtSdCWvgssCk/7BPBTYBRQCZwEDDaztu6e3Pmut1xm9l3gWWAlQX3s\nDAwKH8eX9bDw3G8QXKKxCTiYoM5ERKQQubs2bdq0adPWZBtB53UbQaemNUHn8wxgBbAeaBuXd3eC\nDu99Scf4OkHn/P7w8VcIrlm+tp5zLwrPfVpc2p7AR8DMuLShYb5jkmJ5H3g/Lu2n4XnfBnaMS78y\n3P+w8HHHMN/pdcR2ILAF6JuUfhjBVOzr6ynbH8NzHpim3A8l1cF2YHJSvunhMe6JS9uB4EuLiri0\n48L9uyXtf2KY/rt6Yh0IbEtK2w5sANrFpf2/ML1nPcf7F/BmPXlGAUuBVknp48I2tmv4uHt4zqvq\nONZpYZ7rk9InAFuBg7ItV1iG9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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e0f49d0>"
      ]
     },
     "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",
    "$$\\alpha = Exponential(0.2)$$\n",
    "$$\\mu = Uniform(0,100)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "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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zbq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\nTkSuQmCC\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 5,
     "metadata": {
      "image/png": {
       "width": 400
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image('graphics/Neg Binomial Dag.png', width=400)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Applied log-transform to alpha and added transformed alpha_log_ to model.\n",
      "Applied interval-transform to mu and added transformed mu_interval_ to model.\n",
      "100%|██████████| 200000/200000 [01:04<00:00, 3102.68it/s]\n"
     ]
    }
   ],
   "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": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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H4JZ5+3JikrVK0sXt9XPbm9v4tMQ5qR2Wl8PiM2Zy4IThaW6ZMQacE7SioiKA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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12218bb10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = pm.traceplot(trace[burnin:], varnames=['alpha', 'mu'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see the above model has greater uncertainty around the estimation of the mean response time $(\\mu)$ for chat messages:\n",
    "- Poisson: 10 to 30\n",
    "- Negative Binomial: 16 to 21\n",
    "\n",
    "Additionally, the Negative Binonomial model has an $\\alpha$ parameter of 1.2 to 2.2 which further increases the variance in the estimated parameter $\\mu$. Let's 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": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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C9/ZaYGiB/iPCz/Qtgl+K/B9wTKHzdTRmYG+C5zE/Ex7rzfDz/zEwMK/vNwimg28Lj5f9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ozp88orr7z11mb7M3u5j/ZYYSx+/2U23eM7aYdhJcQ5ZcXgvLJCc05ZoTmnLFvdPN6bd8n9YEFV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\nJxCvfR6QU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      "text/plain": [
       "<matplotlib.figure.Figure at 0x119ade850>"
      ]
     },
     "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 each other.\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 begin to model in even modest dimensionality, integrating over the full joint posterior distribution becomes computationally costly and time-consuming.\n",
    "\n",
    "There is an alternative and analogous technique for calculating the Bayes factor. It involves taking your two models for comparison and combining them into a hierarchical 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": 9,
   "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\n6+XQYohOOzqdkn8CdMDRYbUL4nHpyIofE6uXjcdlfelEOwjRkRY5xbA46OTjdj5EMC/P9S2IxyW/\n6Lj85HmZxmNxnXWtue47Rlv67qLLJIYGM36MUZqok0wEREAEREAEUkcgyDS4woLm6L6cuvKpQCKQ\nagLnMebLzUYRa2k8V6qJqnAiUEkCf4yD75iCExzBMTgry0NQfMAsVmUiIALTSUB346ugz6kR/8fm\nFT9calu/F7jCw4ELPoMurOMYyH4BDrGMsw5zI9nXY0r2n7MueJMJiz/ZsHD2nIWrBjvv1Nl1Fcy1\niwiIwDQR2BA7r369YjDGXKTjhs4vNnqpcp1HTKMDiKJNNV0ej5FoFJ1NXI9GrNEhlXRyIWmwLCw7\n8zGajM6maH86n+IWlZ/5GdV1pZFwzM+8ERt+xi06HnlwmeWj85BKljXazmixaBvrN9UMcUiZCIiA\nCIiACIjAMAHcgtmKYMy32TmcrCUREIFxERiYN9/xPX3jyqxMIiAC002ANzo+D78G4jPv1dpa7PhR\niM+2X4NaIJkIiEAKCMgxNomL0LZ5cAqn9jBjnkd3HEfi/y0G/jyB5eexXHRucIrFm3zfv7W/t+fO\nnq72X/rQ98+t+ci3LyzMOSf2k2CvXUVABKpEALE9QdHYMIT7P/EIhx8519aVTK1SudJ7Gjp2GJFF\nRVP9jVZaOnUix85oea42nY6sZUPiMst1dEiRMw6rI4zbTgyJ+3FIKxvuVNw5xnycDpFi9FY8+gur\nI4z1ZJQaNVqd4zz41xblT/zlYcsli+eP0mrmczmiLRl1mSywZzBTM6I0k+laFwEREAEREIGqEmAs\ne7n5ZfIY29Ix6BmranF0MhGoBwL9C1ocoy6TdfFCvMke7/VLpmtdBERgWgnwu8pn+m9CfB4+ApWz\nhUjk95diXy/fn/1m6AkoabchgTfRdyU3aF0ERKD6BOScmQTzHGYW+28vX94e/MNfHh6Ys+jhfGP2\nk3CHPWVCewQD3tlJyNH2N8NB9mrreW/D7EhvzTu3ptjgWk7u2xfvYJxEKbSrCIiACFSOwIZYxJge\n1cbNmb//V3IUjftgV5mRjXLeZ6joIXs85WLjP8oXPbSzW6xs1xjSk5FfSBrVJurImmj+UU9cMxui\nK8UCx757NVN+FVQEREAERKAuCLQ9/zTuSHyUzRiMg7p8d8JMv1HbwOzYsePycl1UWpUQgYoT2Bl7\nw27i68MWO79yMhEQgTQT4HSISTuChHOxRH65OfvKP0Evheg0K2f3IfG3ym1QWt0ToC9mSd3XskYq\nKMfYFFyoXC7n8Es3gCEBnUHgPueM22Wt9y/Get801iFUFimD72mxa43Lv60Y9t+5vunaV3zoQMfG\n3K4Dav5MwTXQIURABCpD4CAOGxbRC4KXQSce3zBvrHEb20dGvFSmJKk4KsdOU2MZMTGaikoiG2u/\nNG1LOqTYVki2F5gniujismyCBBhtyajLkt2wxuhMRmkOvomtZKNWREAEREAERKB6BIoFzBiA9l/y\njD6mgZu1YGHp/SuZSesiIALlCTDaklGXSeMQtCs9ZST30boIiEC1CXyhzAkvlEmLJ9FpNlpgxEex\nTQ6SOK2Zsfx9VJMzDMlSQKDcCPAUFKvmiuDu2WAZXjuAKRI/17j/6HxTnItOxPAapF2P/kQ4v0L8\n2NnF1vOX4fGiIywG5/AusqNmyZKjyFOmZVRzDFRgERCBOiSwwazHRNgdgzVD1GvNenqm4NKwYygZ\ngTXaYdlZNN0dRjw/38FFcZnl57vGqLEsni/qDIuOk9wv6UBLbtf6BAkwKjP6w4lHa07wMMouAiIg\nAiIgApMjsAnBK4gfHxz5ErUGcMTBe1QeG7rOGnv94smdQ3uLwAwjwCjLnd/lDGpomGPcYdTmuxSV\nya4531yK1hzMon9EQATSR4AzqyRtfjKhzDpvp61QOWfI3yP9tWX2UVJ9EmCU4EugctNs1meNU14r\nOcam+ALl8LyQmxv2NbaHe/Eocdg2WL5ZtRXTK96OzzloAnEc0Hznwp/BrBTt2Tnh7Pc9dqbda234\nTvOa+b33WDrJRgRmTHEpdTgREAERGC+BQ3jj0Rz4xHx7KWRouHek2GDc09su9+OP94BpzMeqXape\n+dLRmcSX7nI0F3UESrvRmXUK4j2Hyyz/qqHlse793MZ8FBvwfH8Yn+ApHkc2RQQYbfmjOaXfH3aQ\nMDozdNYyWlMmAiIgAiIgAukjwDGd5yE5xtJ3bVSitBNgtGVxoNuZoLRZzehMh/eMpb38Kp8IiMBV\nE2jHnnSG0CkSt9uwwu8+HwVl9U3gRajeR4eqOB6Han3TSEntxuoITEkRa6wYGPmTW7eu/w9fsfix\nk2cvPJI1mYd9430WP3EnjbMX8VuXQZNnPpZ/GhO2v8XL+G/xfPP6gQumpfOQaczldqoxVGOXXMUV\ngfomsD5Wvbr7eRr0Q6CCY0VS8T45G2qGOPUtHUe1AIJ16x8SR7bRybVgSKxDufs/01lHNtLmQez5\n4jG4P6eGlFWYAKMyI2O0pkwEREAEREAEpotAULg0lXby/JxKcU6LplJMctG6CFyJwGAr7+xZtLAL\npT3g2HD5FWOI1pSJgAjULYEHR6nZrFHSlVw/BDhg+dn6qU791KRcx1j91G6aa3Kqe33RKxZPuUJw\n0ITuU4gS+yQcY3vR78UvAzoaEU/mzA2e8W7JFPL/qaGr/c6mN/7ujR/8TseqXc6NNgftNNdKpxcB\nEZhpBDzM9YEp3oZ77OsDAB1HdPjwcyXECCk6hZL3RTZSbx8SHUbMUwvGYainoRPQMYhzn/8k9HqI\n0zjQ0Re/pnSKrYCuhThqbTPEexVHtfVCpcNakSCrBAGHAPMA/xVwbQ5V4gQ6pgiIgAiIgAiMi4CP\ntl+59l8YNrje4hK2n2QiIAITJsAp6jn2TCYCIiAClwmwL0JWvwTY78IBx3Fj/4wsBQTYESarEIHd\n222w25g2zBl9CnNJtzX6/mJn8y2YTHoNvF6r8DTR7Iy7Ed2yATqe1+LB45SzxRNhxh0/dci0o1jq\niKzQtdFhRUAEZjwBduiwccInUzq8GBXGaRLpLOP0gTTeI+dCdJwthxh1xe21YKwfo7wGIAxNHZxK\ncRE+KdaF2/lkzvsMG2qMmmODnHXFtL+DDkDOgU7nmu5FgFAd46XgpaEpYuwSB/0rAiIgAiKQLgJs\nOrF5sDRdxVJpRKAGCDDasqvgY8w0HyuGjVNpB5hK+4pvAx7eRUsiIAL1Q4D9v6MZI43+PfQWaCMU\nOVSewTK6nM0eiM/9E7GbkJkDZu+P7dSC5TsgDqI9An0KKv2hQsKQVaJMPOZroK9EJxn65AMyB/De\nCM0aStuDz66h5XIf7MdhfjZUuE8btB9i38jVGMvwYojl46BhGvtSvgONde2Yj2Up14d0zdC2eFDM\nlco3mXKwLEmb7N8B9/9ViNeH1+MQ9CXoAMS/Hf5NnYNSbbxAsgoT4FC7Bw66gZ6+C+dcPvgi3tWz\nBOPvuqxxS8LQvtJZ04QseNOIXeZ8uw19lGd6uzuWfeAHZzp8Gz5+zc1L+7dbq47JCl8nHV4ERGBi\nBDKhc3+EXvzcxHZLS2726vCG3Q39O2gZ9C6ITqTHITYu2Vih04wNoGaI29ioKdewQXLqjHXgS0A+\nDbEu74Suhz4IsYHyLYhOQDZC6QxjRBnrS7Gh9xnoKDRWoxObZVdDgO/n85/E/Mq6u18NPu0jAiIg\nAiIwbQTYhOLYGTnGKnAJ5uKYb4bY7mTnG9tgX4F6oMjYMcaOvldBbLOthWgvQOww/SbE9p0shQQY\nbRmG3egC4vi8YUN/EN/nbGvlIWO45FoSARGYAAHOzlLOImdXfBt/6/839PZ4Ymz5tti2e7Ecd3LF\nsl1e5EDg7dAnhlKO4DPaJ4flHVDcmA8/S5dHbXLbVJeJx6Rz5X9BrA+NjqLIIcf+mfuYWMYeRNrd\niXTW8bPQmxLp0Sr7N94arYzz87eQ76Nj5GV/C8u+v0weOob4rvZyxtdcJH/yx7qOkylH/PxkNNm/\ngxfhGM/GDxpbvm9o+Qg+10J8RUeq+5PkGMMVqoK5ezZYen6pf849cmaO3+J64Qhbg5+VG6AMplSc\ng+ixuWgP/Qf87lzEr0DGGu8FuNMOnTp0iJ2b6jqrwoXSKURABGYMAf6mtkPsWOiF6BxaPrROBxh/\nd1shdkxwOXp65bKDasVY3tMQI8JYX9abjTBOCbkS4n2Jy2wgLYKaoDPQqaFPOsh0/wEEmQiIgAiI\ngAjMHAIbjW/PoAPMw2Mq+8GGzXdZN6+gqRSHiUzpEh1jvwSxDcr26EnoUSjpGGP79CegNRAHNtEe\ngY5C34fkGAOEdFrULE9n6VQqERCBihJ45yhHjxxB0Wb2TUT9D0w7Ar0C4vM8jc/uX4TokKHRGcH7\nxMe4EjP2+b8BegBaC8UtcsZ9HIlvj2+ILW/A8nND61NVJh5uLfQ7UDkeZMF+iuPQWMYy3wC9dijT\nv8PnPw4tj/ZxBzbwPsu8VzLWl30i7DuhPQF9Bfop6CVQZNz+JFTOUfd7UaZxfkbXN559KsoxlX8H\nrP+XYwVcheUTQ+tkSxZrh4SPwT4mOcZIQhYj0NqeN4VlBxA1dtLawjzrvFZEzfPLPI9RZOhxbcLj\nxxbo2qLXbLvPh+337T+/x4Z+1/ee/WLH7u3b1UkZw6lFERCByhIIL71fDD9JpRbAm4+IWPxk1aQx\nUmw3tBhiY4NOsZuhdUOfdBgdhtgp8UGI9cfAhcERL8mGK5JTa6zHY9AB6CLE4d0/By2E2KjhiKwC\nlId+BLG+fwfROfY0xP3pXJNNMYEdcLB+AFGXycNyxPDg/8kNWhcBERABERCBKhIIcDNCgwf3pFLz\nXYNryS8acf8qzaW1qyRArlG7jJ9sg8VZs3NrNcR268ugJRA77tiu3Q+1QWzTyVJLgI4x+j15KWUi\nIAIziACfvcvZzjKJ/F2P23VYifdB9GL9tVD8/vBRrP8tFHdC8D4ymtEx9lvQaE4x7he/n0xVmdbi\nuId58FEsh/QdsW0fxvJT0F3QbbF0LnJ9LXQnFO1zHst/DrE/g3WLO7GwOhhNthafR6DRjA4e9p1E\nxn4i3mMj4w/4v0Hx8iQddcybg3h9eZ1Y57VQZPdi4X7IRgn4ZL64TVU5purvYDYK9+VYAZuxzL/F\nyPi3tw76GhRnE21P5afuxtNwWXKbNvHH5UDuEZdpXHTmpAnCZc75bNyuhGNsEb4Xs4xzt+ArUUCn\n81rjeW1hPjhuXHhy06ZN59GTK8fYNFw3nVIEZiKBg5gmeIXXEjiHae8Hf3oGvWSYBR8z4Sdv27UF\nKERx2RhkQ+QYxMbCMmgWxHsjf6c7oQ6II2BYWzYGoxs/t8V/i7lMpxKPx+gsLse3Y7XErpSf29mY\n4yfLyXLEj8fyc1QYG2wcHcyRwawD0+PGcnO0GdOPDy2zPnR4sZwU68p1buc5yYPn4zHj58Tq4Ho7\nF2DsrOFyMg+3RcZt4+HCcrIM5Mvz07jMtHJ/aTwuy8p6kcGVeCNLOg2+ZXyX+P0yeOGEw9h8n+8d\nDQ4ePJTOAqtUIiACIiACM5pAHs2G44NNhlUzmkOFKs82D9tlUduMn3Fju20NdA30cmgOtAdiG5Ud\nh2yXJfdBkiwtBBhted5mXVgythBzBZnA4jUaeI7YmJaiqhwiIAJTR6AFh4o7FOJHfm98Bcs/DkVR\nStGm5DN+lL4TCzuiFXz+AvRQbL0Zy7wn/Bj0jVg6nUe3DYnJCyHe1J/kSsz4vE2byjIdwfGicn0K\ny3dAcYvqcxcSH4pt4PIW6LFYGhcPx9Zfh+WvxNY/huWfgpLsfwdpvx/LF19kfw77FyJbh4Uj0crQ\nZxGfr4XOQfFrRaYs414oMje0wD6dchZtT26bynJEvCf7d3BnrJBfx3LUNxZLHlzcin9H+5tN5p32\n9cy0l2AmF2Ar/lD2N54rZoJCphh+Fu9fbUWf6k+h2xlD8MKX4NuRxRi9RXCONYSu+EtA1d5UXL7n\nTx/v7Dzfc+bJ803d/Q9u2cKOUJkIiIAIVITAwIUL4Wy/9XzeuPlFePHho8BPldeJjvxOU+ytmZtd\nGThsgNDp0g79NeRDdIqxAULjdv6+0gETNYzuw7IH0Vh3Nigjo6OMjVoeh/tyO9NGsyvlp2PqDyGe\nj8djOdjwioyNkC9BPN8/QMzDIajMV+66sEH8DMTjscHL/dgGYH25LxXVlyN9eAweK2ks9x9D3J/G\nPJOp5+BB8A/Lx3Ixsi1qSEbOwHIdPHE+2OWK5WCeVBmjLd/7vROBl2kkP0ylHC7C1Qg93z+fzWTO\nD7ReKHcdU1UHFUYEREAERKB+CdADw56fkTcj3paPQasg2RQT6MbxdkGzIQ5Q4joHQkXGdhw74Sgu\nM8/XoOPQQYj5edlkKSXQkl/uuhq64BjjY8iwjTZDx3AOLYmACKSUwGgOj6i4dJQknTnRtuuxkPzN\nvjXaGPvk7/3I2/GlgaKxbOa/YOWhWELkuPgm0j4D3TG0jfeQyKLbPfsa6EC5F1oOvR+K9p/KMuGw\nl497F5ajMjE9MjYwTkQrsU/2E3wdui2WFi0uxEK8vyRK/woWPg+9KUrAJx2Ivx9bjy/eH1v5bSwf\nia0nF1+HhOS15XrUp5TMP5H1qSxHdB0n+3fwi7EKzI8tJxfZt8Rr+4nkhjSus1NMNk0EcpazUwx+\ncc/t2uU+e2jhiQV2EYLFTHgNfvI24PWr+EMLF2MA+WJr/VWI0LgQBgV03Nqj85sWPb8s31xEZFkR\nzjP+0clEQAREYMoJrOja7Arz2/JwifVbL3sGPzaYQDHoxO/OGes1JBtxU37+Ch+Qv5107Jwf53no\njBnN+HvePtrGMulXys9yRSO0yuw+6Mhi5wftSo3xS7kuOQK5zE6UqzWWayrrGZWD12JgaCVquEXb\nyn1eiU+5fVKXduk7FJ7BvbwR9/w8osbbg3Cg35lsfkVXl+7tqbtiKpAIiIAIzBwCweB82ZhJMT7r\nL+5MfjbrWhYtT756bOaAqWxN2bbbPcYp2DnKziiKy2wzsZPwBYjtRraPZCkmwGjLPMbiTUWvaYqr\nqaKJwEwicA0quxbiIAb2j7CfnWn/EXonNJrdjA3Pldk4kWft5O5jOSv+FZmTTiiWId6nw3tKDkpa\npcpUbgDsLTh5OadYVCYyfSxaGfqch08O7h3N/hwb4o6xtVjnPZR9MnHjtYtfs7+Jbyyz/IMyaUxa\nAk2GWSXLMZm/g/jf10tQx7nQaNz/Ads+AaXeCFuWAgJPP41Ozs1e3yzPfAfTKD1XDAr4ggZLfC/z\n43gWmYspzObjOWS2td4W9EtfZzyXyc9uan/Pdzq+br999uKLbl10ajumXkpBVVQEERCBOiKQu90W\nc86daHr+3Pnwot2Jqd6aGrLZs2hH9PR0dJyro6qqKiJQdQKFru5zzYsWvbdowmZTCBZh6uT+C4F7\nataZlp7c7bfHH1KqXjadUAREQAREYGYTCDD80vGll+w6kqWZANsLajOk+QqNo2zRVA7948irLCIg\nAqkiwOirwxMoEaNuGBk8mj2MDXGHwoNYTzpwon3HM6A0ystI5KQ9lUwYZb1SZSp3OvQ1jWltZbZG\nA4bLbBpM+uFoGxLpf5RYp8NtrPtr3FEU37UZK5NxjFWyHJP5O4jXkcucWakVKldXOsyegMYaXI7N\n029yjE3/NRgsQS43GD3GH7Xv5A4caGgyyzE/hVsRumA1pixbjgF7/MLNhvsM3nPLL+YGxN+fsg3B\nGROGJ04dqt33qwwC0D8iIAKpJYDo1uIDB11/j+nAyB2bwSz455wLEd2zdqxGQmrro4KJQHoI4Dvk\nLpxyttjom2w3o8B755/t/+CWhfpupeciqSQiIAIiIAIikCYCDDaKAo4wdnYwSowDZLksq1ECDh0+\neIlzdF1rtBYqtgiIQBkCR5D2MejvoLEiobB50PgcyN8COjD42x7NqoLFEnsR1v5LScrEV3ie8dw7\nqlmmK9WinONsvPW40rF3JDKcSayPd/UVyHhkvJnL5Kt2OcbLj07ajybKS0b3Qh+Ckn9LL03kTeWq\nHGMpvCwHDmwMXn3jmTOhZ/v6e83DGKu3BE2krfhtXIhOsxfjM2s9uwB/chnP2F80Gf9sz/mz33rf\nvtOds5qaHjMXLva949ZV/WhXJf8oU1hbFUkERKAWCNyzwebhHOM7oMw3Ht/tWq691j14+xZ13tfC\nxVMZU0uAEZlv37v3+Lnnn7evedk2NkjNX2xYUG5KidTWQQUTAREQARGYWQQC1+i6iotr9TmT0/68\nBWKH43mII5r3QBygWs6Y/80Q83NEOvN/FYryc1T46yFuZxoDfjgCn3F2r4TmQJxSievcxg7O5yGO\nsv4+xLR4JADz83w8Lo/Hc34FIu+fgFohno/H5Ltx2Z9zN8TR2k9DnM3h6xD3pTEQaSnE471s6HMR\nPpnO9gbb8hzNzfM8BnE/1jFeJqwO1uON+GQ9WXbm4wh8Huc2iOl8Vy33/TzE8ia58B1o5PASiPVk\nOWi8Djz/PqgH6oQaoR+DyH85xHryXDzHUYhl+A7UB9XY88gxFHktlIVkIiACdUCAv2EtEH/fIuMy\nf0eTv6XR9vF8Rr/j8bz8bbwHui+eWMXlNJSpUs/Kg8/iCZafwTrvQxOxecj8g4nskMiblnIkijW4\nyqklk44xbuDfI3UX9BBUUybHWAov1+7tNthtzGkU7fQDBw8e6+qftwDNVvygumvwDpJ1cIzNNy7E\nD69twcCi7cjXbXzb6hvvWDE/8DwuakcOjW6oVh9YUCWZCIhAygg4OMdGG62UsqKqOCJQOwQe3LKF\nnTxjvlCkdmqjkoqACIiACNQ3gXgfX7m+m9TXnh1cb4PoWHoeOglFDiEsjjDm/yWI+ZmX+i4UdQ7S\nwfPz0GKIDh2KziH2s/A5nU6djUPrkSPuy1g/Dj0LsYMvDpXnuwNqhXisNuhRiM/1PwtdA70Wmg3R\n6By7G6JDicd9AdoLReVjOVgGOse2QTzuiyB6ZehUomPuGegUxEiGdojHipcJq4OOLNaH9WTZOyDm\na4DuhJjOdfL5GsT941xY93+C6Nz6jxDLsx7iHxHLzL4POrvOQAMQObwBWgG9HGI9WReW+RsQy3AA\nIj9GVNRGvwdq23J4uTtzMetCuvNYe5kIiECtE+BvGC3+uxlfvrR1cv/yN/HjEO8Pkb0OC78HvSlK\nqPJnGss0GQS8n8WN0wC+NZ5QpeW0lKNcdXl/fjP0j+U2Iu0TQ+LfJgf11ISxcSFLMYHO48fR0Gvt\nyS5Y/q0wDH4YWtONODAO0ftxFHsu2lJL0A5sQHTYRqStCJwphLOazma+f/qb79l38kKrW37o7i12\nsNMtxdVU0URABERABERABERABERABERABNJCgK4TuhuoEmO/CP0YshgBRgewk7AR+gWI1OjEYXgQ\nnU6kuQxivs3QWuiHELex841QxzI6sL4LHYV4joUQHW50r3wVohPtcYiOLR6L/TxroEXQL0LoMxh0\nMjF9PxR12rI8SyFGO/wqxAv7WYiRZ1SUD4uDRlfOLIiOsH8PsV500rG/4QRExxjLxOPS6AjjuedD\nb4S4jWWko+ws1AStglZDPwd1QW0Q91sA0en1PYjnWQex/DdCdPC9EmLex6Er8UOWdFhXca0LXBde\n31da5BDzKOLd8nbQ1ZiOoqoUIiAC4yPA37dKGe8rfwfFnV+vw/pXhk7I38/4tqHkin6ksUxTUeHl\nU3GQKThGWsoxWlX+CRteA3GQymjGgTps27wMGtGKHG2n6UqXY2y6yI/zvLnbb2fjsRv61tv3uux1\n3tnnMEPismLBsjG4wnpuoXMWjWO3CULD1b/eOXfWc17e2syx4qz2Y1gvIrIs9X+M40SibCIgAiIg\nAiIgAiIgAiIgAiIgAhUi0PHCIbt2xeJBL0boCvbyq4/w8Bk7ZXw5ljwjF+kIYmchR3rTYcNIpq9C\ndHzRmUXHzmshOrQYAdUH0UH1AsSIrVIvCRISFjnGuP88iJFU10FM/2eIDqljUC/ENJ5vLXQNxBHv\n3I9luQB9G2I+OqVY5p8e+rwJn8zzKES7CJVzjHG/ZugWiP1JPBZ1AmI52H/RANHo4OK5WZ4boB7o\n8xAdYM9BrMv1Q5/s4KUjjE4+1oFsmG8fRL4Uj/UKiPx4fuZ5GroSP2RJg1kUIvraEC2rJBMBERCB\nsgRySN0R2/Iglu+OrXORAxOqaTmcLG1lmqr6JwNKXoIDx3+0p+o8VzpOWsoxVjm/iY2t0JkxMpEf\nb3S8/7NdkFqTYyy1l2ZkwVZsNoG/r7Gj4AcDWa/4GQw1WlJ0nNPbLYIj7KX4zjaGNpiNJ5fFnmdf\n76zr7O73Vt7/+NmO93z31Hf8Adedf82yjpy1yQbuyJMpRQREQAREQAREQAREQAREQAREYEYSCDC0\nMrQIbElYpqHBLVu/PurdT2ydsavsV1kJ0bFDx1IHxBHTdC5RdBDR6bQMYj46jlZD5DiePhkelxFW\n7FxixBWdU3ym5/pxiE4xpuchHpOOq9dAPAf3bYM+AzHPDyHmY2cVo7/ozGIH189D3O9WiGU8DRWg\nuHGfdRDPfRhi3b4z9HkCn3Rk0WmVdIzxfF+E2InG/L0Qy0nHGEfHL4VeCXE/smNd/wmik4zloweJ\ndSC/9RDzcR86xMbDD9nSYodQEAbDJYx/ISO+bYk8WhUBEZgpBP4OFb0jVtkPY/n3Y+vTsZjGMlWa\nA++RvF9Nt6WlHHEObE/wrrUd+mx8Q2KZ7YhU391qrBGRwDvDVoccWmwknt21yx370fKj82zznC4E\niq2BE2wdRvK1YAzfHLQwZ0NvQCz+QGDt9XCUnfR8dypodqeW7xuctkCOsRn2t6PqioAIiIAIiIAI\niIAIiIAIiMC4CdAFQtcF3SoxG4Ar4umnYwlaJAG6NehM4kwv34ZegL4EMUIqsr1YWAWxE4lOHS7T\nSPpKxud3dkIxkoqOozkQrwwdY3RI0THG6QmZj308dHDdBrFMzEOn0sNQ5LyK+gOYl9MdXQP9DNQC\nvRpi2Vh+OrrixvzXQnRIfRNiPT8BnYP41xJZNLUYHVqLIG7/AsT8z0F0lNHmQmTB878C4vHpDGN9\nPgexzjwuO9X2QXT03QkthpZDrBvZ14oNM4pHX2IKIN9mUHnfnES0Zq1URuUUARGoCIE7cdS4U+wI\n1qfbKZbGMgHLlBrvk0n7bSTcn0wcx/oS5GHf/fBv/jh2GsqSlnKMt8S7kHE3tGNI5fa7E4kPlduQ\nhjTFbqfhKlxFGfAw4s60ef0Nnve452e+5kzwV9aEfxMa+xi+es+iNVVA+ypjLRqMnnmRtf7bMl72\nrg5z5mc/8L2Tt717b+f83/3CwcarOLV2EQEREAEREAEREAEREAEREAERqGMCWbhrMuVcDnSJHKjj\nil9d1dj5RacVHUk/hJ6BOEo6bnTi0CFExw9FuqA8pcb+HYYjLYToPKID7UnocYjRXSxjvKOODjI6\nrRgd9ix0BKIzbR3EqKxyThrWI3IA0gnYB8WPidXLxuOzrnRwMWKOEWNxV2u0nXm4TD50nFH8S4uO\ny8+IHx2ArAvrSkdauTIiOZ3GaEtGXSZLF6Ijh1GayXSti4AIzCgC/F37RKLGb06sV3s1jWWqFoP7\ncKKJ/i5vwT68171pCguZlnJ8DXXKlakX72lMb4aOQEnbkUxI0zobErIaJJDLDU6HyEbo49t27fJf\ncf0bDtjALB5wvQ3GeqvwzV2Fr2+zcW4lhGAy7zo0Ky8ibUGYyRxtCc2RhfMWhNiWx8YRDbMaRKIi\ni0CtEOCNlU5pNjD4sDrRGy12kYmACIhAKgiw/cDOMXZmxTuwUlE4FUIEREAERODqCQR4qXUYjuyo\nz2SNa732ssPi6k9QX3vyfkinEx02dIwdg+IOIKwOrtPxQ0cUnwXYF0NN5bMAnW3zIUZ+0THG6Zee\ngl6AWDbeq+PG+zcdTSwHy90L3Q5xqsbIMRbvK+Ay68V7/7ego1DSAYiky8a8rC9HzrdB7CyMW7R9\nHhK5zOPTqcjyJo8bOcZYD9aLz1JTzQ+HrKwx2tLHXwELXmK8clP5l1BycK2IgAjUCIHlZcqZ/N0u\nk6WiSWksUyUqzPvh16HbEgf/fayPN2psNvI+NrT/5xPHSa7GI8rj26pdjvi5r7TM9sXvQblRMrIN\nsQ46DK2FIlsbLaTxc8T9OI2FVJnGJrDp6W2ueMOFgrGu1zrvoDMOI9W8xWhXzYfnazU+ORItg/Qs\nHGTL4Diz1ha2hI1h54ef6vtR9vtd/d849MXO3du3szEqEwERqCwBPghvhhZDPwPROcYHO5kIiIAI\n1BIBNtrZMfYvEDu8OMUROwVlIiACIiACdUBg0DFmfDxK4v+YFRuca3uxHGMxJFzkPfHCkOjA4fpo\nRucPVQnjMwUjxigu8/meUy9SYz3rR/miQXvsP+AyxSi4yFgvOrooOq7GOiY2D9aTbQNqtDrHeXB5\nIvmRvcaM0ZZrILodY8bozLIRmrE8WhQBEUglAf72T5W9rsyBOKBivDaVZYnOmcYyRWWLPke7v0Tb\nx/v5O8j4ZCIzo7Wegf4pkZ5cpX8lcnbdheUrlekXkedjyYMMrVezHKMUYdRkti/oAKQTbDTbhA0R\nC+bhAJzUmhxjqb004y/YYPTYDsc/tAsfefT4x/EO21l9s4r/Zo1b4Tn7n/HK5FZEhq3B+jw4xX4a\n389iaL3XWd87mw96H8p75sTWTVu/vMu5HnjMrvTlHX/BlFMERKAcAfYu8EYyF1oKcYSkHGOAIBMB\nEagpAuwc46ht/paxYVzac4oEmQiIgAiIQI0S2IByd9E3giYqpiUpMY5d31OSopVSxxiBjfVMzW1j\nbZ8MTz5TcEQ3xWXeq88OicujGcvM6Qx5T6fx4nNKJCreucVjsN+BupIDEFkG6zkRRxe58C+MGo1R\nJfnhtJW15Yi27ETHTPIsYRDYAO/CSKZrXQREIFUE1pUpzUuQxu/uiO91mbxXSirnbPh/2OmlZXZk\nZPBHE+ksy1Rb2srEiOGkcdB5ezLxKtb3j7LPPyL9w9C7oHLX+UVIfxaK7KFoYYzPm8ts4zWlc7Oa\n5ShTjCsm/TZy3D9GrqQzl22G1JocY6m9NBMs2CWHlnsH5vjOHTgQNPcubyuasOAy7vtoEy8xLsQf\npm3Ge8ha8dkQOkyv4Jwf+vZG69zCrgHT8cHHz1zIPXvyhPEa8+bTf9Gdy+XGajxPsIDKLgIiMESA\nD6mcnoTOMT600jEmEwEREIFaJMCHQP6W8TeNv20yERABERCBuiFA3witjGPsa5e2zJB/2WdypX4T\ndpQR1JWcYmlGxjrEO/x4X0/e27n9So6uNNdx2svWttk4/ynnMomJIsMwQFcNJBMBEUgzgZ8apXCc\nDJWDBSZr3ypzADq7eNd9E8TZOuZA/xm6DypndNI8B9GJ8zj0FWgyVskykdtEjc6jpDFtoo6x+P0u\nfrxbsPJYPGFo+Z34pO6FPjeURoflB6G1Q+v8WBdbji8ew0rccbkA61ugvUOZbsIno9V2QjmoUuXA\noSdt/Nv7a+jcOI/EOqXWrtTAS23BVbDRCeQ2bcrnHnnkGdPe6jXesPKJYl//gmy28eeMDVc557bh\nnWLzrQnm4HOOLYa/hs9+vIbs9dZ4pxv6sn9jXXi6+Zd2PGlyOY7UkomACEwtATqc+d3iyJszUB8k\nEwEREIFaJNCFQvO3jL9pGkxTi1dQZRYBERCBMgQ2IK2nWLQO04l46LaK9x5lGoy7fmNJUpkj1FUS\nO+7G03kXOcZqtfK8zNGltliOK6oTt8sxFtG4ms892IlxeXGXI0kP+l6RyC+fTAREII0E6HzZMUrB\nPoD03x9l20SS+S7GcnYbEjlTR9LopEk6yOKRS9weOcboKEsaHWwfSyYm1itZpjckzsXV34HGYvlf\ny+yTQ9pby6RHSb8RLcQ+X43lb8bWo0U6qh6E3h4lJD7JO8k8yvJmLByJVhKfPOabEml0wH0e4mB5\nXmPaey99DDrMKlGOq/07GCrW5Y9OLLHc7A9I2kcTCQ8l1lO1KsdYqi7H1BUmd/vtg6MVPr7XuV7M\nA48eqx+50HZb3+GL51qwfB2auk1429hCOMsyznqtWM/YYvAyZ/0zfV1t7k/3nuzOFxtPzgt7C++4\ndVU/HGhRQ3nqCqojicDMI8CHSd6A+YD9ZSj+WIRVmQiIgAjUDAE6w+gYY2cgf9tkIiACIiACdUIg\nsAVrrG+TDVU6xrZtu+xAqeXaRo6f0erAtnoWYscPlUSBpNQZ78ucsmg+xGX29yyCuqGxys+6Mh9F\nYzwT96F4HNlUEfgaDvQ6aMRkYLwElEwERCBFBJagLD8G0UmSdGrEi/lOrFCcbu9L0BPQRCOYsMvg\n7+0t+CwXscTtkX0dC7dD/H0ezUlzBNsY2XQn9AmonNGBwXddsex0qHVBSeM5prJMZEQn469D5crO\nspyG/jfEexD7oXn/Wg4xrdx1uAPpHHLwKxDvgdyH979V0J9C3J60byBhJ0QGHVD8Xnc31nm8cvsh\nuaytQ+qRslsuJf7zKNvi9VmIPIN9+UN5p6ocjCJ8FTSZv4OhIpV80FnL6/lnEKPHWqH/B70Eiqw5\nWkjrJ/9QZHVM4O4tlo3a8w8cPPilgd65mUzY969517gYvrC7jLMrMYv1T8DhhSkW3Vr8dFzjPLfJ\nmmKPs9lvY3TgyWbjPlk0DWdze8wLudIvaB1TU9VEoKIEeJNmRzKtXMPj0hb9KwIiIAIiIAIiIAIi\nIALTQmA9znpq6My2pAT9WGNPUh0YK1ZaudJKsSOO/SW15hi7gDJT7OSjp4UdbXzmGMvrwm2LhoSP\nQccY96HinYXcJpsEgY2ItvwRnMvxQ/CPkO8YC/GOsQ3xDVoWARGYbgI/iwKM5kwoV7Z3IpG6C3oI\nuhrbi53WQYfL7PwE0t4G7Y9tuxnLT8bWuXgv9CFoPL/ftyFf5Ijjfa/k9wnrtKkq0/041p3QlZhG\nUVmsB/dhZBsdWGMZHUydULQPnZlX2mcH8lDlrtdbkf5/IA5mH8t2YiNVjlt8P16L0a4rHZ0/DQ3E\ndxhanmw5LI7zbJnjJpPG83fAQTdHoI9BvwWthaK/eSyW2F1Ye6gkJaUrcoyl9MJMdbHu2bBhAO8M\nKzS97Z5z/f39YVOv9zSmxuhwNliAGTLmoRW22uHdY9bD9Ip895ixKxEg1ohv7mZnM2ebFp2e/Z69\nR3ubsqtPNc42xXs22DzKeKUv/lRXQ8cTAREQAREQAREQAREQAREQARGoMIEsgqXwTIizsC+nroyj\nsVmpRRA7oegUYkXjz7YNWN8IXQMxtifKg8VUGyO46RTjyO2zEOt4E9QCMYqB9Y0/x7MTlB1drdCN\n0DLoJNQGMW/dXXzUKZUWWr5fTO8YS+XFUaFmMoGHUHmq2nYEJ+R9ib/dsyH+bvN3PR5NhNVBo5OM\n9yj+lnN7FGWFxcFj8HMq7AgOMhVlegjHoSZidMRQE7Gr2Sd5/K8gIarzJiyvgHg9eqEfQIegidwn\njyA/j7cWWgwx4uoFiPfbsWwy5WDbhuecCrsOB4nqS4clfUpLIQ7AaYRorE/74FKN/CPHWI1cqKko\nJhxjodmxg1+8rk8cMX+TD01j+/nOL5jALc1m7J14FFjmXPgyfGsa8af+UjjOwtALb2V+G2b/pSGT\nPdlXOL17oCfTucu5U9utZcNbJgIiIAIiIAIiIAIiIAIiIAIiUEcEAst3jHnWn7L+lFTAYQdR9AzL\nDkcGwLFPhJ1G3BYZHWPsBLsGYidYrfSbsMOK00g1Q5waqgliNMESiNNCsS+AM8pEdaVjjBzYsXUD\nxM6txyB2bMXzYVVWOQLxP7/1lTuNjiwCIlBrBOgMo65k/O0fT74rHWc829NYpvGUezJ5WOdvTuYA\niX2PYJ2aqE11OSZ6/sgpFu1HR+yJIUVpNfdZKw28mgOb2gJfek+YuwsPAblHXLFxTvGM8bxCGJon\nMK1im2cwjbwzc5119IRn8YzQjGXfBm6tM67Zz3i34E1jnYef6nj2Q0+f6+3+UV+76TtXzG3fxBEM\nMhEQAREQAREQARH4/+zdCbgcd33m+1p6OYuO9t2bvMibsA3YmEBsDAQIEJaExLqTjcDkxmQuiXMT\nuFnmJqNjsgxMIDMhw8y155kbyDwMN3YgARLMgIlZDAa8gLFlG+RFkiVL1n509l6q7vsenXJa5aP1\n9Dnq5ft/ntfdXV1d9a9Pdct96tf/KgQQQAABBBBoRQEfxNmhuBLhgpH+3g3epvh6Jp7ugz4uFC1U\nXqV4xNXUD0t1mxXUdLelm7dhVPmGco7yesV/2/+S4l9xP674b3dvu0fDvURZqbiY5tf54N92ZVyh\nNVnA1+f78A+CtNYu76Ymbz+LQwABBBBAoJUEKIy10t6Y574Mvias3Xj77dv2rlix/ecHLnlsOA36\nKnHhWo3BXROFGkEWhCuCNL1AhbIFKppdr9tEp1x8QxQkQ/VK8AWNJtu5ZEXh78LK0kODabp/UCPM\n5nkTWB0CCCCAAAIIIIAAAggggMA8CRR0IaQ/1IijwXlaX5NX48LYM4pHSl2vuPDlwphHV31bcbni\nfGWx4ud9aiAXxnyao3YpZWSFMRe4POLtTYoLX7+gDCn/rPg0UB5N5lFkft63NtmtZIUxj6ajNVng\nFi1Px1vaZghikzefxSGAAAIIINBSAhTGWmp3zH9n7ti4ceoL/ld1LtrBzWmtr7L32TSI/MX/gSCt\nr0iDwoTqYQuiNF2t39Xp/RIv0HMaWJboD4aof6xYvzaN44O9j+x/+t9/b9f4nvHac6Ol52q3XXON\nT71AQwABBBBAAAEEEEAAAQQQaDOBRKdS1OF7xYfx/6XVdRoRXaM65nXoxgAAQABJREFUOxXfvzzR\nHvdc7LlX2aro79mpApiLY4sUF8H8N2yWf9B9b/wGxaOr2ulHoN6GpxQXwv6n4lMpXqT4+M+LlGxb\nXAzbo+xQHlA8cm6b4tM1tUshUF1t/xbrrRZN1Sbbf1vYAgQQQAABBNpFwF+MaAhMCQxuCCs6veIj\nzw4E4dragfsKSTwQDaSvjdLwrLSa/rJGjC3V30AqlqWLwzD6CY0mS9Io+ikVzA6nteCLUVTeuSat\n3l6orDqoEWSHGEHGGwsBBBBAAAEEEEAAAQQQaEcBHypw3aSjmgtjHhnma2ldrpyteGSYTyO4XvEP\nRB9RdikujLkA6NFjPr1iOzWPjHtSccHL2+BriL1b8cixKxQX+ryt9nhM8UixTyg+1eJOxa+nzYHA\nJu2PD2rUZX7RSVhXtTkJ89N5jAACCCCAAAJzJ0BhbO5s23LJPr2iO67CVv3QD56rr03j7freNj6Z\nBvfrl4FL9bX6Ip1iURcgTv2rM/+EcGEQhoVUp1xM68mCsLf3ZZU0OVj67r6n/+S7+8f31364b7RU\nYgRZW74b6DQCCCCAAAIIIIAAAgh0m8CByqNpT7pmVIfpR9OgprPqB2kSRqO6HSnUx19wUL+NfNx3\n/707rHxF8bXEvqe4UOQqoEdJedTUiJIVlT6v+z7toJtPQejrcGXN831GOXJWlSPPedqx2onmd78+\npbhQ53V5/sb1uZj1kLJVcVHLI8NcxPP1wGbaL97WZxWPHPtbxct1UdAj4fycs0/xelwQ8zqz0WS6\n+3zz87cr3k4/78fOsZqfOxkXr3+74v59WHF7RPFjP5dvjT7e/hP1I//6M/7Yoy0/eP+zSRqXRrTD\nRqI06detTtpTGE2jYNSfvTPeSTqAAAIIIIBAlwjwi5Qu2dGnu5mDt28uBSv6olLcMxAW4kVRf/yW\nNAnO0p9GP5MGoX49ly5RIn2Tq4Q696K+xR0Kg/BQGAWf10k2ni0Hlc+W48rQns+cOzQ4yDXITnc/\n8DoEEEAAAQQQQEAC+QNmfJfnbYEAAk0X0I8kC30P7DmvHsbnBVH6NxrKslrVEBdQtsVx9LO/d9Uy\nF41oCCBwGgIfemj/2fV68mm99DxVY5frf+y7kyj45ShKtk3uX7k9+7HyaSyalyCAAAIIIIDAKQgw\nYuwUsLpx1sGNGyre7o9u2ZIeqPTU+2s9T2oE2XASxt/VkZjFOpniRRox1qui2HIVxAppmCzSqRY1\nkiy+UD+GWjgZlHZVk95DvW/d9cwfv2nrRE/PeXvKfUHt5vWhl5s/uNONxGwzAggggAACCCCAAAII\nINBKAkm9VD5Qq1eiYhTfoRO/LQzqyQGNdtk3nkTHGynUSttAXxBoSQF/hspB+hmddWe5Lti3NEzT\nw0k6sSMKkoPB12YcsdeS20GnEEAAAQQQaHcBfmXa7ntwnvv/m1/YUp6sD8Xrz71kQTXVtcZqYz8b\nRNFanQ777erKoiBOF+jaY/rhU+TTPPjazMN6kx2OwujLYRjsmohqn03S4sHLr1y6a2MY+lQVNAQQ\nQAABBBBAAIGTE8j/qIjv8ifnxlwIIHAaAoN3P93Ts2TRNfWgXoxr8b4ojieeqG/Zets11/gUfjQE\nEDgNgZvuv794Ubx+XVKv91Tj+rI4iKuVQ0MPDL7mfJ8ekoYAAggggAAC8yTAiLF5gu6U1fzVm9er\n4JWGf/301mR0olgfrpWeUNFrqB4kqzVybHGURufql0+9+jXhcl2LTNceqy1Kw6iYpMkFerywmEQv\nC+LawaceOPjEv39gz3jUHz5XPDBR+51XnD2h1+cP9nQKG9uBAAIIIIAAAggggAACCLSZwNZaULtq\nexQXonrt4LiGkdXWXns1P25ss71Id1tLYO3VV9dr3915IE0rhbBvzeGkrotVBA/NdE211uo4vUEA\nAQQQQKDDBPiVaYft0PnenI9uScsHhoK42LdvUVKvLi5Uim/Rm2qtzkWvEWTRIhXJfB2yqWuQaSRZ\nEoSJfgUVDutqY/+s+XbVovDTsU7LMTnCubTne9+xPgQQQAABBBBoO4H8j4j4Lt92u5AOI4AAAggg\ngAACCCCAAAIInGkB/pg+03ugE9afpuGtD+zqnYzC/pEoul6btCJKolfryI2KYsE6pVfFsBW6LejU\nipFGk42rRvaAHu8Lg8JX6ml6sFRItqS16vihvjV7yoWgGnzylpHBwUH9coqGAAIIIIAAAgggMC1A\nYYy3AgIIIIAAAggggAACCCCAAAKzFKAwNktAXn60wJERZLvi/uLAgjRJFiXB5JvDMFqTJuk7XCjT\nG26pimNxEMaVIEh8cEe3wViQBt/RKRmfqyfJ53Smxr0LFi37/s3rQ1+njIYAAggggAACCCBwRIDC\nGO8EBBBAAAEEEEAAAQQQQAABBGYpQGFsloC8fCaBqWuQlQ+OLe2bGBu/Loyj5TqN4muVJUFcODfU\nNcjSNFgZaLiYXl3WqRYrGnT2qO4fjKP0bp1+8UBSL/4gisOR2sTIvqhWqFx0/eoDN6qSptFm+QNC\nM3WAaQgggAACCCCAQCcK5L8H8V2+E/cy24QAAggggAACCCCAAAIIIDCnAvwxPae8LPw3v7ClXFjc\nEy2ajPvjvmggLhZfq8LYal+DTMWxpVEQnKsRZMU0iGp6M2pSvarTLk7GQfR4kqb70yj4XBQFuydG\nJ765dMXE6M3r1zOKjLcVAgggcGoCHEg/NS/mRqCVBfg8t/LeoW8IIIAAAggggAACCCCAAAJtIUBh\nrC12U/t3cnBzWuoZP9hbLybX6Ppiy4v14FVBGC7R9cUu1RGePhXCluu2GITJgE6rWE+jaJtGlA2F\n9eQbmm9/LU3vC9PaSBwWdkeFeGK8+vSBoLe3Nrhhg0/FSEMAAQQQOLYAB9KPbcMzCLSbAJ/ndttj\n9BcBBBBAAAEEEEAAAQQQQKDlBCiMtdwu6ewODW7eXFpaKoUH9i8tFwtJfyEuvFzXH1sVRPW3p0G4\nPEyTK3Wr0ysGdcUHf6oqkNXCJNir+0NJFN6pwtru3rR8ZyGMhr7xxJ0H7ti40fPSEEAAAQRmFuBA\n+swuTEWgHQX4PLfjXqPPCCCAAAIIIIAAAggggAACLSVAYayldkf3dGYwTaOFO4Ly5L79L0qS+tJi\nofgqFbyWJvXkxVLo1yix5TqlYkmFssW6r0nhsE65OJqG0Td1wsX9Oh3jN9MgHgqT8Z06CePEoXK4\nrxxOVIPPrjs8OKgyGg0BBBBAIBPgQHomwS0C7S/A57n99yFb0J0CvrbyuUq/cpniHwLyt7gQaAgg\n0FYC/h7iy1s8powq25WaQkMAAQQQQKDtBPgy3na7rLM6fNP99xcP9vaG1+5YVqwu7uuJihMbwjRa\nnkTB24I0WRUE0Su0xX1BkPiPSbWwonFkSRqlE2EQ6otYep+yNwriO9Mw2TdRqz0YXL1mYjCkOHbE\ni/8igAACU6NvGxn4f3+jBvcRaC8BCmPttb/oLQKZQK/uvFLR3zfBzygLFV1umYYAAgi0lYB/hHxY\n+XvlOeVbyrhCQwABBBBAoO0EODjWdrusczt80/1p8ZLCvvPTNFxUCcIbNDJsmQaLvVQjyQaiIFqp\n31SWNaJseRiGcaqqmCQm9fyjKpYdVHHsW2maHkyj8OFCMRwdPjS2vxBHkwvPSvcfPny4zrXIOvd9\nw5YhgMAJBTiQfkIiZkCgbQT4PLfNrqKjCBwloB/6BTcoq5WfVVwY429xIdAQQKCtBPw9xIWxTyu7\nla8pYwoNAQQQQACBthPgy3jb7bLO7vCNt6fx3hVB+LbyjuLhaKK4sLhyZVCrLJ4sR29SoWx1mKRv\nDMJoYRrUl0oi0hkZa3oTq5aWVFUrq+rvy12afkiXKPtykibPFdPeL/ZE8WGuRdbZ7xu2DgEEjivA\ngfTj8vAkAm0lwOe5rXYXnUXgeQGfQvF1yhplo+LCGA0BBBBoRwEXxm5XfOzlLsWnVKQhgAACCCDQ\ndgIUxtpul3VPhwd9HbJ7dyyuJPGCYKD4yiAJl2lU2I9rlNhCPXWOTq/Yq2LYUh0hKur+gGRSFc32\na9pIkta/o99g7g+Twr16kx+up/WdYRRNFGr1A7W0Uv3etrMO3bEx0GkAwvwBpu4BZksRQKBbBPL/\nzvH//m7Z82xnJwrwee7Evco2dYOA/l4JLlQWKBsUX2OMhgACCLSjgK8xtlkZUZ5U9ANlGgIIIIAA\nAu0nwMGx9ttn3dVjjQULbrkl/OgvbirWeoJo7w939pUX9/WX4/r1KmutTOPwJ1UOWxYlyYY0DPUH\n5tRJFlPd+MtZokeTGk82roLZAyqY7QuS2l2af2+0YOW947uC8cHXhFwotrveUWwtAt0owIH0btzr\nbHOnCvB57tQ9y3YhgAACCCCAAAIIIIAAAgjMmwCFsXmjZkXNELhV1yE7tGBfT300fXGSJEsLxcKP\n6U28OKkml6vw1ZcW0uVpGpSjNFqsQlmsUyoqQUX3H9ftIY04+24YRgc0TuxBDS8bLfQU9lWCpLLw\ncHKwXJisvefqNSqiMYqsGfuKZSCAQMsIcCC9ZXYFHUFg1gJ8nmdNyAIQQAABBBBAAAEEEEAAAQS6\nXYDCWLe/A9px+zWK7NYHdvUemjgcjw+c1VuYrJSDUv28KAgXB/XgJ3R6RF2lLL1OtwvCIF2iN7kr\nXRrunyYqno3pflWjyHarAHZYt/ekQbIvDuN7VA8beqK+fett11zDqQDa8X1BnxFA4FgCHEg/lgzT\nEWg/AT7P7bfP6DECCCCAAAIIIIAAAggggECLCVAYa7EdQndOXWDw7rsLPSuvWqui2KKkWlFhLFoR\nhuF1OnK0UG/wVUpR51bs05Ij3S/rvp4qHFChbORIYSzYF4bJPUkQH0ri2lOlemXyYGHheE9vvR58\nb/dEsOLyhFMunvp+4RUIINAyAhxIb5ldQUcQmLUAn+dZE7IABBBAAAEEEEAAAQQQQACBbhegMNbt\n74AO2f7Bu9NCsDeIeq4+2JtUCoVwoj6gYld/ktR/TNcXWxbW01fpdIpLwyi4QtcY69FIMr33dWLF\nMBrXnXqQJBM6tWIljMIdmqqRZOE9mmdfEkbfiOPg8PiBH+wefM1ruB5Zh7xf2AwEukyAA+ldtsPZ\n3I4W4PPc0buXjUMAAQQQQAABBBBAAAEEEJgPAQpj86HMOuZdYHBzWuoZP9ibRtWXaZzYsqAWTBXG\noii8SkeU+oKkvkCdKqhoVtaZFqMgSEoqmNWDKN6letmwKmb3RFG8t1ob/6ZOtTi0uLRk22RQr4we\neKLSW+yt31m9ZHzF3iC9Y2NYn/eNY4UIIIDAqQlwIP3UvJgbgVYW4PPcynuHviGAAAIIIIAAAggg\ngAACCLSFAIWxtthNdPK0BFTd+ot7g556fxBV67v74qBarIU9K3UixYVxEL0iTMPlSZjeoGUvioL0\nfJ1isaizLWpUmE+1mGokWVhPdKvnx8M0eky3h1RC+7ZGlB3oKRS/09MXj/zzg3fuv2PjRopjp7WD\neBECCMyTAAfS5wma1SAwDwJ8nucBmVUggAACCCCAAAIIIIAAAgh0tgCFsc7ev2xdg8Bgmkal7+5c\nktSiBYUFPSqMJcvrteAGFbsWa8TYRVOnWAzDHpXFYp1GsVcjyVQ7CzSaLK1o0g+1qKEwPVIYi3vi\n7wRpbXh8NNod9JYqwYF9Gkm2oP5kz/KJtcNByjXJGuC5iwACZ1qAA+lneg+wfgSaJ8DnuXmWLAkB\nBBBAAAEEEEAAAQQQQKBLBSiMdemO79bNdnFssype13zzh33j1fG4uHx9OY7icjp26IJCobioGoav\nCtN0uUaF/biMBlQVW6aRZCqUhZN6nKRpUtFz9TAqjKp4puuSBY+FYXhITz2ogWYHw2J8n87PODK8\n7we7uCZZt77L2G4EWk6AA+ktt0voEAKnLcDn+bTpeCECCCCAAAIIIIAAAggggAACRwQojPFO6HqB\nwbvTwqJle85NktqiatB3XRAly5Nq/XoNGBuIwmC1Cl6lNAh7BBVrlFlPqkqYams+42IljOLHVTgb\n0gMVxoKDQRzdlybhcCmd2NFbLkw+c2B8sqdYqQcDlYlnx8fT2665ptr14AAggMB8C3Agfb7FWR8C\ncyfA53nubFkyAggggAACCCCAAAIIIIBAlwhQGOuSHc1mHl/gpvvTYnnPE9FZK5f1lHrjeGzfSH9a\nLvbEpfCyJAmXxHF6nYphy3TZsmtUE+tXgUynX0w1oOzISLKpIlkY1nW0auJIwSx8OkiCoTSM7gnC\naH+5nj4QxuHw0KHFOzjN4vH3Bc8igEDTBTiQ3nRSFojAGRPg83zG6FkxAggggAACCCCAAAIIIIBA\npwhQGOuUPcl2NFVgUKdcDLYGpeLenZcmYby4WCxep4KXTqsYXROkyYBGky3XqRSLSRr06H4UJYlG\nlE1dkyzWfDUVxLbplIyH0zC+RwPM9sdJ+kASFvV4ZHuUFirj5dJEUEmSoD5eCZZNJoOfWFcJNmnM\nmRbR1A1hYQgggICq+DkE/t+fA+EhAm0kwOe5jXYWXUUAAQQQQAABBBBAAAEEEGhNAQ6OteZ+oVct\nIvDRLWm5tjeIJhds70lrlUIyvrwvKtd7w6R2lU6puDiKoqtVzFpSD5KrdR2y/n+5JllUDTSsLE2S\nSRXG6olHkgVhRcW0HTpEPazC2f1BUh8qFAuPqDx2uBwcfnTx4mDi3eev07XMKI61yO6nGwh0igAH\n0jtlT7IdCFDo5j2AAAIIIIAAAggggAACCCCAwKwFKIzNmpAFdJOAr0fWvzQoJ+M7r0iiaHEUF1QY\nS1UYU4EsTQeiKFyl29KRkWRBFAVh2cPAgiApqOBV06kYd6k4NqKi2v0qkA1FcfpIEMZDwUT1sagU\njo0dCoYn43p9Tak0GY/Xk4cGVkyuHQ5STr/YTe8ythWBoCyDX1XGlI8rs20UxmYryOsRaB0BPs+t\nsy/oCQIIIIAAAggggAACCCCAQJsKUBhr0x1Ht8+kQBp+NA1KtR1BtOfgUM/CpTqT4pPVvrRc6Cn1\nVTdodNjioBq9TAWwpWmUvlQFsAU6reKqNEzjIIhqmq76mK9FpquQBWlFt6qrhcPaojF9IB8Ow/hQ\nvV59RPMPlQt93w/D6ujwvh/sGnzNa2pncqtZNwIIzJvAoNa0aXptGoiqfyVm1/Kv5//9s/Pk1Qic\nSQE+z2dSn3UjgAACCCCAAAIIIIAAAgh0hAAHxzpiN7IRZ1pgUNckG7p3R/nsRQsu1akRF9Wq9Zfr\naPYSHb16qfo2oFrYWhXDivrA9agsFmsQWUkjyDRLUtIpGFNVyHQKxWAiCqMf6OGQzr34iB4PxVH4\n/UQXJguDyZ1T1yZLqpWgt5707yhOxgPV5N4dZ1c2PKoRZYOhFkFDAIE5ErhOy/1T5VXTy9+q2y8p\ndyjfUVzYblbz/5ezz/M/6v5bm7BgDqQ3AZFFINAiAnyeW2RH0A0EEEAAAQQQQAABBBBAAIH2FaAw\n1r77jp63nkCoa5KVfE2yPfWHe8LS0mhxsVxOegul2uHJC+I4WRgUyi8JknRJGCbXaPTYwiBJLnSR\nTB9EfxZ1UTKNINNB8SgMVSjzw3BSR8CqKpA9q4LaaBJGj2jGoSCtPaz5hnoX9z8cLeofP/BXt4wM\nDg5mB9NbT4YeIdCeAkvU7QMn2fVbNN/HlL0nOf+xZtuoJ/52+snrdXvPsWY8hekcSD8FLGZFoMUF\n+Dy3+A6iewgggAACCCCAAAIIIIAAAq0v4IPxNAQQmEOBm+6/v3hRcM65QRIO1MrJ1Tqj4uIwSa9J\ng3RRGMQX6iRpPWlY79XIsUiVLV9bKIpSXZtME3x/+lSLu/VgVCPJHtUVy4bCKHxIzw3pdIuba2Ft\nbEGy8ECtMlI/0FOaTCtJsqoyWimsODu5+ZO3VINNm3yZs/yBtDncYhaNQEcInEpRrHGDD+nBOxWP\n9jrVz51Pm1hXslbUnWacQjXfD/7fnwlzi0D7CfB5br99Ro8RQAABBBBAAAEEEEAAAQRaTICDYy22\nQ+hOZwrcen9aXNIbhI8OH+iZqI7EqxcvKyX1qDASHV4apcX+Qi28Kg2TxTradWWYhouCKHmxBpH1\n6RSMi3RsXQfLp69NduSaZImKYx5JlmjeCd+vp8E2zX84jpIHdSrHoSgubtazw2myf8uqZdHku89f\npxFoFMc6893FVs2BgP/f2IwRmLdoOR9RTvZUi5/XvG9R3L6u3DB1b/b/4UD67A1ZAgKtIsDnuVX2\nBP1AAAEEEEAAAQQQQAABBBBoWwEKY2276+h4uwvo1IfR0t/ctGDi8Ghfsm/sJUFcWJQGtSs1xmRR\nGEUqjKX9aRos03YW9EEtT1+bzCNIfG0yjSzzxzdMwiCtJkG0TUW04SiKHtTR/CGNSNusUWLDSVrb\nEtaqE3GxPFKuJPXdfeVKWlmUrFq1o1I4WyPKbgk0okxrZERZu7+d6H9zBT6sxb2viYvcqmXdrPi6\nZL6e4EztVk28qeGJK3X/4YbHs7nLgfTZ6PFaBFpLgM9za+0PeoMAAggggAACCCCAAAIIINCGAhTG\n2nCn0eXOERgcTKPNlwfh6y7YVa71FqIdI5XyQFHjvmqlnrhWL4d98YUqji1M6/UrdYJFnXoxVeEs\nXRhE8XqVs1Qcq7tQphbp2mSJDpaFk/pQ646vVRbWNe+4il4Tuv+knhyOguSxMIgOJ5XK4xqhNry4\nd8HjcWVs8j1Xr/F8+YNtRxbNfxHoLoE+be5obpNv0+P3Kz7N4SuV31KykV26e0rNp1r8S+XTypPK\nhYpHhy1WGlsz//+c/2w3c9mNfeY+AgjMvQCf57k3Zg0IIIAAAggggAACCCCAAAIdLsDBsQ7fwWxe\newpodFh4x6NB8emJXRf62mRJoXBlGiSL4zR+ka49tlDPX6riV08YRj0aWRarpFXSkTKNJEtVLItc\nGysd2fJYBbK0onmf0vThcKowFhxOaoEKY/XhYiF6vFavTSSF0nCp0lMf6z9YCfoWJP0/WlyNB4Lk\n8CuC6uVawMZQRTYaAt0hMKjN3NSwqS/T/fsbHmd3/f/P9YpPlXi6RbJsWfnb12vCXfmJs3jMgfRZ\n4PFSBFpMgM9zi+0QuoMAAggggAACCCCAAAIIINB+AhTG2m+f0eMuEhjcnJaWloLwwP4DZV+bbNnC\npcXR+kShlFQXFuJCT7WWXBqm8UBUCC7VKRR1PbLwCn2oB1QIu1C3Gk2mMprPlBhEkyqm+ZSJFU1I\nNHV6RFkyqVkmVVJ7UtNH6km6RWW1Yb3mCQ07GynV0h+lYTR+39YVe+/YSHGsi9563bypjQedrxfE\nPSeBUdA8v6T89UnMe6JZtmqG80800yk+37hNfqk+7jQEEGhTAT7Pbbrj6DYCCCCAAAIIIIAAAggg\ngEDrCHBwrHX2BT1B4OQENJrs1gd29dZLfeVD4yMqjEUDUamkwlg6VRhL02RhGIUXHjnVYlrWhzxS\nRazo6liYphpZlo0o88c/rKkIphFl4VY9GNH9Hx65DZ7QckaipPSjehCN1WoH9hR6C9XaaLEalJOk\nJ+ipTuzZnwaXXVRZWgvSmz95i65VtsmFt/wBOy2OhkDbCJylnu6Y7q1Pn/ie0+j56/SaO5T8qRFP\nZlE+zeJSpdmfo/zy+H//yewN5kGgNQX4PLfmfqFXCCCAAAIIIIAAAggggAACbSTAwbE22ll0FYHn\nBVQcC24Jwo9uCoq1HTui5547uxSWhqKlE5VymsSFWrG2NCzEvRoLdlkYxQNJXLtMH/aFGh12qQpk\nC4I0OU9FMY8oi48cg481kizRUsOK5kl0v6oilyYEVdW6qqqt7dGRuDFd42yLbkdCX7MsSUbjYvFp\nvWY0OTT05NLeItcqe34HcadNBQbV703TfdfnI1Dh+LTbCr3y95T3neQSPqX5fuEk5z3V2fSxParx\n//6jOHiAQFsJ8Hluq91FZxFAAAEEEEAAAQQQQAABBFpRgINjrbhX6FNeQMWbYLmia2gFOmNg4Otd\nHZi+r5umN69vmeL1uXl9+xWvu+Xb4GAaLXr71oXVUn9POhxeFsTBQFIMLws1kixIo0tVUlugwtc6\nnVlRo8kiXZMsjVUA8zXJvL0aWaYWpHqs/+o/+keirqFge9MwHdf8WzTviGpmT2re0TAtPK1rn40m\nYf3JsB5NxMWJkVKxXN+zr6cWqES3Zmm1GlfqyeOlFdVlKrkNXh6oyKbGyLIpBv7TcgIH1SOP9PJ1\nw97fxN4t0bKuU35eeZPSOJrs63r8K8pWZa4aB9LnSpblIjD/Anye59+cNSKAAAIIIIAAAggggAAC\nCHSYAIWxDtuhHbo5K7Vd/0FxscoFsT3KBxUXq+aieaTHnyouxk0oe5U/VvYpbdEG0zTarPLTK+7d\nUaoPF6PRi8vFYGwk6htdUqqUojipDC2O0kJv2BtfrH8EBsJqclkYhws0Cmy9Toa4II3C8104U6Ws\nV9crU4Vs6vpiqo8dGUmmMWVVTfdZGVXucsEwndTqdN0ynYYuVQEtDLdr+qie2hKH0XClXntS1ywb\nPWthYXtUHqm++/x1nj9/cK8tbOlkxwqoSDz1efcG+nSGLpLNVcv+3ztfn4H8erL1z9X2sVwEEJg7\nAT7Pc2fLkhFAAIFWFsj/SDP7EWcr95m+IYAAAggggAACLStQaNme0bFuEPDB2QHFI7QWKD7Ys1vx\nCK3GAz9+3sUqF8h836c38+1cNX8uvL5Vigtj7stcrk+Lb24b1JAuL1EXOhp/wZJ1wsQPfXP0cD2p\n9QT9cVmDtwaCatqnMykOqKBV1E5ZoOuLxTpdYlnFr6n9o3l0WrkwSvS8Cl9RGEZ9el6XLEs8XauI\ndKWxpJbqvI16rHVqzigcSephVUW14SiOq6qtjR0Y7gmrQ+XKhx7aOVYq7q0PHazXF+iaZSNxb218\nX5quunS0crhWS7/6iXW1FZcH6R0bpwpyL9gEJiAwBwIu7L5e8Wd+Loti7nrjv29+TEMAAQQQQAAB\nBBBA4HgC/LDpeDo8hwACCCCAAAIInKIAhbFTBGP2pgq4GPY25WzFpxgbVn5F2aFoRNHzzQeRfbDa\nRR4nK1bpLu2UBVTP+t00HbnllmD0vF/Z+kBl//5o1/CF3w7KI1ExKhWDQhRF1WJZA8tKE4Xq+Tp9\nYn+QVi/RtcR0CsbgQtXDFmj01/lab5/Os7hGh/j170hS0ACwgn62eK7PwKiq3AXaaUkcqTAWJHoY\nVgtpIakVxnUts6Ca1Mu7xuvheLkv3lZL4rFilGwtLU/Gavv7tvUE9bGfufHg9lK5OBHcfvv+OzZu\ndKGUhsBcC/jfmbvmeiUsHwEEEEAAAQQQQAABBBBAAAEEEEAAAQTOrACFsTPr3+1r9+kfPCLJ19s5\nVzmsZCOz/Is4H6h2c2HkOcXXp/JIDp9CkWKJEE63aWSYbdNgcKrI6MWMNS7r9tvTeHRFUNw1sD9K\n6rUFpWJYTsJUp1r0NcjSfu2cSAvo02t0SsWkFIZxSQWxSKdiLHkkme6XNLKsoNFiPSqK+fGR/epT\nMoZpTedk1DXM0nENPtMi0jH1ROdljMeStK674dhkLQgnkvr4lee9qv+ah/ZXxyfrtWKiudeUK5O6\nXbF1ca0wECSPLHqivqxSSQc3XH7k2mWcnrFxN3IfAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAICdA\nYSwHwsOWFPB1xTYpU1UU3boodkihzZHAxiOnMKwPbt781P5SKby0sujxeimOdh0YLwaTcbRyeaFQ\nqUZxfTxYWCgkPdUwvEgVtAVBHK9ThUsjy5JLVA/rT4J0nYpiPaqiLVchzcWxWJWvWDtyrQpmmrV2\nnq5TlsT1UKfH1FXNjlyzLK3VazWdjbFWLESH03oyoSukbVWRbSzYX92uitvY4UX7ttXDcOyckUXb\n0lp1/GN7gp3nrwiqbw4Dnw7PRT8aAggggAACCCCAAAIIIIAAAggggAACCCCAAAIvEKAw9gISJrSg\ngAthe1uwXx3fpcENG1xocms8teWRKbpW2ce+uvdQ2tdTPuyzIaogprqXq10LXAzTKRT7p0aLpUGv\namAeFVYM07DgK5QFaV3XJos0kiyaumaZimh9GinmkzDq3yQPMPOAQV31LAyHNXEy1WA0TdGoNo1b\n04gyz6N5xxJd8izsKY0d2vZc8ZGd0eTgQ8NDwWhSC16x8NDg9HXWjnSW/yKAAAIIIIAAAggggAAC\nCCCAAAIIIIAAAgggEPjaQDQEEEDgNAR0Osb3pulocEsw9tFNA9/XsL4w+M6B+3pWhOHQUK0UTkbR\n8p6oENeieKgULAqipKdci89Jgnp/msbnaY26TdYHabQgitIL9fLeNAlXqTzmkWWqh02NENSpNnVt\nszRZ5AFlQRS/VAU4FcmSmuprSZpU60lFS4sLupOOldPxe6LecMf4vTv+SsvwSEMaAggggAACCCCA\nAAIIIIAAAggggAACCCCAAALPC8xHYcynv/PwD11TaOo2W+fUkBBN0ynUpk595msE+RRoftzYjhwk\nP3I9I7/GI1c830ynTPPzZSVbn+cbVXybTE/3Na3cJhRP97yO++Vbr8/No5Qa15Pv19RMDf/J+plt\nZ7acbJZsO7N+uz/55vX3Kr71urP1665H4BzVPz/nli0vuz0y9YX/ne1+8BKb1T8vx9en0gijqe3K\n9pmnL1QWKSOKjbKRSp6/0WVcjzMD3X2+aSTS1HzZrbfbza91y/Zr9n6bvjbVkSf57ykKTF+r7ObB\n5/eTP1dHtcFBXRrs5oNDSaVc3r+zEqvw1V+Ik5KuV7ZAg84Wp1E6oZFkS1Tt0j5Oe1T2KuhTGGnv\nqjiWxjodo14SaZZQ/0k1j2tmU6dk1F21qcea4lFpQbQqSYOJUk8h//k7qk88QAABBBBAAAEEEEAA\nAQQQQAABBBBAAAEEEOhOgaxINVdb74PTK5TFyluUpco6xcUjF3pcLNqu+HpRX1IOKlsUF3ncXNw4\nT1ml/LbiAsqXleeUf1JcPGlsLrTcqHj+axUdKA/+g+L5hxT3xY+97v+pHFbcFx1sn5rfr/dr3XYo\nfs1XFI88eVTJijS6e1RzPy9Qlihvmr49S7f29bY42xQv5/OKt3ef4iJNY7PTexUXhty3YeVuxY4/\noyxT7OHHo9N5QLc+zWDmkV+mnpqa39t+uvvBy3BrVv/s9BuKja5TXKzUafem9svHdGunbyi7lTsU\n76P3KV6/9/l+5VblkJI1F768X1+s+H32asVFtpWK94MLZLbZo9jWrl7Og8oLijmaRmuSwOBgmAze\noJFlex8dD15y+aMT40G8pPbMY7ViHBcnBvriOIwn6iMLNHKsUCgVBsIkKVeTYG0URj1hUl+t0ldP\nGkarVCTrCcJkpcaN9WjaWhXKSiqU+T3hfesiWUHPXaiyWSHtKcz1v21Tq+Q/CCCAAAIIIIAAAggg\ngAACCCCAAAIIIIAAAu0lMJcHj32w2gUjFylclNkwfXuhbl3A8MgoF8aWKy4SPa648LVd8UghP+di\nh+fzwe+XKi6e7FRcwPK8LnxlI69cLPK865VzlGsUF7b8GhdW3B+v9xWKp92ruBDn+17eixQXpM5W\n3Fwgc+HkScWve0rxuqpKY7Oh++L5nSsUb9M6xc+NKy6MeRtclLlfcV8PKamS9V93p/p5mW79ej/v\n2MXzb1Bc5LlIsevIdFzUyUzcN6/Py81aM/ZDtiw7NqN/dvH7wEU+F8e83zzN2+n94MLVM4r77ule\nr129/S6a7VI8rbH5sQucXt5q5SrF5msUe3lZLow9p3i/u1Dp9W5W7ObnaHMkMPia0J9nt6zo7X1w\ndNPwsQ99c9+C8Wq1XF5YPC+s6ZSLcXhOHEW9tXo6HEZpr86yOKGRYdrPia9N1qtBZLoJCmmYaP+G\nNf1n6r1f1VxHL5xHCCCAAAIIIIAAAggggMApC/hv/V9VfOzh4woNAQQQQAABBBBAoAMEXHSYi+bl\nrlVcKPq/FBc0PHrHB8fvUzzyyvP4S6YLLR5B9H7FhaiPKi58PKz4IPrTiotAX1S8zBsUH1T/iuKC\n0G7FB8HXKS5qvUEZUDy/n/fr8wfhXUB5reKCiAspLk658LVXeUJxvy5WXFj5LcX9chHlWaVxhJHn\nc8HKxZebFY/ocoHG/f7G9K2LPS6seb4Lp+M+f0h5TvG25osyfo0Lio5HStnNfXNR6D7FhR4vr195\nnTKs+Pkdil1GFbdm7Qfvr8Y22/55f/6d4veFDVw4/TFlQrlN8bTHFRfIXOiz3/Ga9+d1it8fv6b4\nvebX2uUhxb6e5uVcpKxW3qPYzPF+9f73+4F2pgR0Wsb7b0/HNqwIxierT1QmquPx6sUX/HCyGsb1\nYH9vOeyJqlFYrtdrcW8c96RJVKgllSUacVbSpFW6dpkGkRW2avpwMDLkzwoNAQQQQAABBBBAAAEE\nEJiNwB/oxZumF/AJ3aazWRivRQABBBBAAAEEEGgNARdO5qJ5dI6LOi5AXKksV1wMcuHDxaqscOPC\nzjrFBaZLFI+QOk9xe1Txl04XUdzPrYofv0JxgcNFFRdN9ihen9fhQpzjwtFWZZvi17uw44JV1lzY\nyQpifp2f/57iQkpWiDlX992v9YrXlfXLhZaseTneRs/rkU4upG1VvLztypjivrpQd7niAo49/Bov\n0x7uf74wFmqaX+ftyPr3pO7bx37Z9GW6v0HxerP+Ne7TZu0HLf6oNtv+2TjbHvc/UWzgguJmxduY\nvV9cFDxR8344W7HBxUqvcp/iEYNZwcvF1wXKGsVFsvWKp7ko5/1kK9oZFrhjY1i/40gfXNg8bvO1\ny1a+Y/uikYmkHAYD5xQLUXpopLKtXCpNbnr1usnB476aJxFAAAEEEEAAAQQQQKANBfyDyD9VXjXd\n9626/ZLiPyO+o/hv+mY1/927aXph/6jbtFkLZjkIIIAAAggggAACZ1agsYjSzJ64APGziosVLnps\nVT6ouNjh0UBZscPr/yfFhaLfVxYpP6fsUFzYcAHFXz5dSPus4uW9UnFh4+cVz/cXiosav6h4xNBe\n5YDiL8ceCeSiR765sOQiiuf7mOL5HlS8PhdoGvv1e3rsfr1V8fruVVz4cr+y/rpf3iYXYfwl3du5\nU/E0981FubsV9y9b3tt1f7vyX5WK0tg8/3rF6/m04v59WfGXfBfTvMx7FC/PcT8uVfoVvzZrzd4P\n2XJn2z8XPVy0dOHKpt4eu3vE1mOKXbzfPM05UevRDFcr3g9e9jPKnyu7FBcT/R70PnW//QeNi6If\nmn5sZ09/VLE3rU0EfO2ym95y/8ja/t7RYHjhWFAJgzdcv3pM/wBo5FjozycNAQQQQAABBBBAAAEE\nOkPAP2r03+/5tk4TbppO9twtuuO/831sYDbtxoYX++9HGgIIIIAAAggggECHCLhYMBetqIVeoLho\n42LHQeUh5VnFBY/soLV/geUCkufzl1YXKM5T/Hrf9/Oe1wUmFztcJPGX4Wz5HoHl0VIurFysrFBc\nCMkKUy7C+TVeTmPzYxdT/DoXRLYpjytZYcTTPZLL/fJpFN2XcxWvt6x4hJKbl3G+4kKLC1ae19vp\nbRpRXJBxs7O3e58yrvQqfp2X42Xmm/s3oPjWxbZtyhZlVMma++fCkgtBXp6LYy6cue9Zy5yatR+y\n5c62f96n3ha72MN2nmYvb4+3q6J42sk098cG3k9+f9jmEcWFMb//smZvP58t3/PbzWl000NaOwjc\nds012f71+4WGAAIIIIAAAggggAACnSewRJs0U1HsWFu6SU84PjbwTsU/jjzZvy0161Tz34d/O33f\nN99uuM9dBBBAAAEEEEAAgTYXaHZhzAUKF6v8xfWK6dsv6naH4kKIi1QuRmRfSj2/p/m57yjnKG9T\nViorFBdNXGxywcTFExfPPqGcq/yq4hFCv6d4eZcpnv8/K88oLsZ52TM1H0R/XNmuuDDmAkrjgXWv\nz4Utr+9/KV7fzymrp++7wOID8msU92Gh8jnFy3Pxy0UwLyNr7sdzivvp7TxLuVhxUS8r0DXO7/m8\nfi/LX8C9XG9/Y3N/vb27pyf6i7sLYTadq/0wvaqp7ZhN/7LlNOvWha6PKS5a2sAFThfHXFBtbDZy\nwdHxfTd/Bpr9OZhaMP9BAAEEEEAAAQQQQAABBBCYlYD/tj2Voljjyvz3tv9Od7tF+YjiH5OeTPts\nw0xf1/3835YNT3MXAQQQQAABBBBAoN0Eml0Q8JdWFyZcoPCXUBcgXEDxl89+5ViFKp/yz/M5fn2v\n4oKRl+MChotGjgseWxQXhdx3j/S5QnEhyfN6PU8q25VsJInuvqC5Hy6c+Qu2bz1KKd/8eheedipe\nl4th7pf76u1yX1wEdNznXcqziqfnvzS7fy5suQDoApm37Sol2w67NTbP7/X7NS7OuUCWt/M8nuZ5\nnKyPujtVGJuL/eBlu822f0eW0rz/2vFHih0d989xETab5v3nxy7a+r3p91X2XHarSTQEEEAAAQQQ\nQAABBBBAAIEWEfjzJvVjk5bjbFVuVr6k+G/3mdqtmviWhid+o+E+dxFAAAEEEEAAAQQ6QKDZhTEX\nHzzSy/F9F8N+VvEXTt/mizuaNNU8r0eJubjl17iA5AKU46JF1lwA8Qiv/cpXFY/WulxxIeou5Rnl\nCcXPH2tdempq/h26dfzaYzU/5yKb++D72fa5SOe+uM+e5udcFHOOtzz3yfO4aOXXuUDmIo1HPLlA\nlzXPt286Xs/xtiUrGmav9W3Wz7naD7PtX2Nfm3HfRTCP0rPr2YqLlecqLmT6sW/PUfzeukDx+2qp\n4sInDQEEEEAAAQQQQAABBBBAoPUE/Hfd+3Lduk2P36/4b9JXKr+lvEU52bZOM2ajyA7p/l8qn1ae\nVC5Uvq74b/TG9nDjA+4jgAACCCCAAAIItL9AswtjLiC5COH4vgs0Lh65cLFaOZnm0U8ujPn1HtXT\n2FwEchHJBZC9ir8ou9jh0VXPKR61NaycqOCRFVJcTPH9YzWvz/M4vu/tcfHOBS33zffdz1NZnvvm\n+DXZMrLlaNJU83PZSLDj9W969hfczPV+mG3/XtDhJkzwe7mkLFN8ast1igtgLoj5feI/cvxe8WN7\n+z10oveJZqEhgAACCCCAAAIIIIAAAgicAYHfza3zZXp8f8O0u3Tf8d+/65WPKKdSJHMBbNN0dDNj\ne/2MU5mIAAIIIIAAAggg0NYCzS6MGcPFI8fNBa7PKz5l4RbFo59Opvl1P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BY2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\ngfvVqN9QvE7xaJ4G/rb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5UGe9a0Pq/FXF2tg6BR/7ZzbN/pkGum1YR6DO5hHm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\n3TV2+w3ft2PDSY8TgutsxyR6KkBcf+uTlhSzO9NWrV3fr/fRRs5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X3GiPKY8j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wh4ZfPz84UIjPX+6q/+6n2nTp0ajpFjd0WArC+CY4MpY8PDw9O9vb2LBw8ePD0+Pj79z/7Z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\n1fs+NwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 9,
     "metadata": {
      "image/png": {
       "width": 540
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image('graphics/Bayes Factor DAG.png', width=540)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Applied interval-transform to mu_p and added transformed mu_p_interval_ to model.\n",
      "Applied log-transform to alpha and added transformed alpha_log_ to model.\n",
      "Applied interval-transform to mu_nb and added transformed mu_nb_interval_ to model.\n",
      "100%|██████████| 200000/200000 [02:34<00:00, 1292.72it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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4OiImSboMOCwi+hfU2RZ4C9gjImYUx19dXd0fmLZko76s7tpmG++YWZmsv05X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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e6bf090>"
      ]
     },
     "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.math.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.ElemwiseCategorical(vars=[tau], values=[0,1])\n",
    "    trace = pm.sample(200000, step=[step1, step2], start=start)\n",
    "\n",
    "_ = pm.traceplot(trace[burnin:], varnames=['tau'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "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": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Bayes Factor: 1.63638920135\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)"
   ]
  },
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   "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 $M_1$   |"
   ]
  },
  {
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   "metadata": {},
   "source": [
    "#### [>> Go to the Next Section](http://nbviewer.ipython.org/github/markdregan/Bayesian-Modelling-in-Python/blob/master/Section%203.%20Hierarchical%20modelling.ipynb)\n",
    "\n",
    "### 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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