{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "block_hidden": true, "collapsed": true }, "outputs": [], "source": [ "%load_ext rpy2.ipython\n", "%matplotlib inline\n", "from fbprophet import Prophet\n", "import pandas as pd\n", "import logging\n", "logging.getLogger('fbprophet').setLevel(logging.ERROR)\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "block_hidden": true, "collapsed": true }, "outputs": [], "source": [ "%%R\n", "library(prophet)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Forecasting Growth\n", "\n", "By default, Prophet uses a linear model for its forecast. When forecasting growth, there is usually some maximum achievable point: total market size, total population size, etc. This is called the carrying capacity, and the forecast should saturate at this point.\n", "\n", "Prophet allows you to make forecasts using a [logistic growth](https://en.wikipedia.org/wiki/Logistic_function) trend model, with a specified carrying capacity. We illustrate this with the log number of page visits to the [R (programming language)](https://en.wikipedia.org/wiki/R_%28programming_language%29) page on Wikipedia:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "df = pd.read_csv('../examples/example_wp_R.csv')\n", "import numpy as np\n", "df['y'] = np.log(df['y'])" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%%R\n", "df <- read.csv('../examples/example_wp_R.csv')\n", "df$y <- log(df$y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We must specify the carrying capacity in a column `cap`. Here we will assume a particular value, but this would usually be set using data or expertise about the market size." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "df['cap'] = 8.5" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%%R\n", "df$cap <- 8.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The important things to note are that `cap` must be specified for every row in the dataframe, and that it does not have to be constant. If the market size is growing, then `cap` can be an increasing sequence.\n", "\n", "We then fit the model as before, except pass in an additional argument to specify logistic growth:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = Prophet(growth='logistic')\n", "m.fit(df)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -67.9808\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "m <- prophet(df, growth = 'logistic')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We make a dataframe for future predictions as before, except we must also specify the capacity in the future. Here we keep capacity constant at the same value as in the history, and forecast 3 years into the future:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "\r", "|======================================================|100% ~0 s remaining " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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R4yefPXGUbI99ciq9S88+/bOv3aN7rpDTK5n9okmu3nixis9mvNw7wqGb0H5y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\nbYvyVYmQzNQAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 10 -h 6 -u in\n", "future <- make_future_dataframe(m, periods = 1826)\n", "future$cap <- 8.5\n", "fcst <- predict(m, future)\n", "plot(m, fcst);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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XKHNy3ZxVmFO+G/PX1EFg3yoqPvnlTtzw8mr87bPt+LNdjtqiLeYuYM2EN6os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\nbYXhlGoGaIjI6naWNjjQwSm6n+3Ya5eAtsQPmmHQGNH4bMdeslOChM0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OfZtbZmFg8OGK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\n5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YzKjS4qDRW82akihERZ+Owycgp48OkFLC9bQmpaF2bdOdP2AS774F26du/JtCt/yktP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\nOW5QV3Og08atEYplzeaM4HpUgSGl421h8dz43lIIM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kRAfCo2oAUVccFSbX0Eta2t1p9a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\nIiIyYYBMRERERGTCAJmIiIiIyOT/A9L06b1Xp/I3AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "future = m.make_future_dataframe(periods=1826)\n", "future['cap'] = 8.5\n", "fcst = m.predict(future)\n", "m.plot(fcst);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The logistic function has an implicit minimum of 0, and will saturate at 0 the same way that it saturates at the capacity. It is possible to also specify a different saturating minimum.\n", "\n", "### Saturating Minimum\n", "\n", "The logistic growth model can also handle a saturating minimum, which is specified with a column `floor` in the same way as the `cap` column specifies the maximum:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -157.241\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n", "\r", "|======================================================|100% ~0 s remaining " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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TCCGElBUUcCjS0tKaOXNmSbeiNAoKCuJfPnr0iAIOQggheURzOEheVapUiX/p4OBQUi0h\nhBBS5lDAkenJkycLFy7866+/4uLiuEyJRPLu3bvo6GjVde/cuWNubm5ubj5z5kxNXRspFAqvXbvW\ns2dPV1fXv/76y9HRsaRbRAghpMygZbFyL1++dHFxYdM9e/Zkt/GOjo6eMGGCp6cngE2bNg0ePDin\n6ubm5lz6r7/+GjJkiDobW3C0LFZNaFmsmtCyWPWhZbFqQstic0I9HHLXr1/n0ufPn9+1axeAAwcO\nsNEGgKlTp+ZUNzU1lX/55csXtTSREEIIKbMo4JCrWrUq/3Lu3LmXL19W2N8wp+NktbW13dzcuMsu\nXbqoo4WEEEJI2UUBh1yfPn06duzIz9m6deugQYO4y59++kkgyPHj2rBhw7JlyyZPnnzp0qVGjRqp\nsaGEEEJIGUTLYuUEAsGmTZvq16/P5YjF4urVq7969crDw6NatWotW7ZUUV1PT+/7779XfzMJIYSQ\nMol6ODKZm5tv3ryZu3R3d2cz3d3dVUcbhBBCCFGNejiycHd3b9Wq1aNHjxo2bFinTh0uPykpafv2\n7W/fvnVxcVGxVoUQQgghSmlswHH48OEff/wRwObNm9m+ijyqWrWqwgRSAIsWLWIXyv73338Mw+Tr\ngYQQQgjRzH04AgICmjVrxl0+e/asSpUqea/uExTvYGXAz+FvszFo0KAtW7Zwl1++fFm6dGlMTIyd\nnV39+vVDQkK6d+9eu3btAjderWgfDjWhfTjUhPbhUB/ah0NNaB+OnGhmD8enT5/4l58/f85XwMHx\n9PT09/d3cXHp3bv32bNn2Uz+UAuAX3/99dy5cwBu3LjB5vz222+3bt2ys7MrwCsSQgghGkkzJ40q\nHPOR68bknEePHo2e/OO5Y4dkMtnq1asHDRo0d+7cli1bDho0qFevXgBGjhw5efJkfhU22lDw+++/\nF7TthBBCiAbSzB6O+Ph4/uXIkSPfvn1rZmamutaxY8emTJnCpr2unPd+cJe7dfPmzd27dyut5e7u\nfvToUYVMPz+/fDeaEEII0Vya2cNhYGCgkOPr65trLf6aWO8Hdy0rZ47CGBkZ5VRrxYoVkyZNUhjN\nqlmzZl7bSgghhJQDmhlwmJiYzJo1i59jZ2fnE5Sl28MnKF4hR0dHh38Z8u0rm2jWpr2KTb2MjY17\n9eqlMO91zpw5/BfKZ/MJIYQQTaOZAYdMJrO0tKzSYzwadWVztm/frrQkPxqoVq1a9gKHr95buXWv\n0uGY69evjx8/ft68ef7+/gr5NGOUEEII4dPMORwHDx6cPXs2nMfCzIbN2bhxY88x05QW5hbBnjx5\nUuFWK+eO5paVlNZ6/vx5TmfQb9++nT86Q0iZExERce3aNUtLS2dnZ4ZhSro5hBBNoJk9HLdv35an\ntDJHSeJjYrl09uGVuLg4hYe0d+0+efavCplcxXv37uX06kePHg0JCcl3owkpHb59+2ZnZzd16tRB\ngwbxBwcJIaQwNDPgyBjRYKCly2VOHNRDRRxw7o43/7JO/YaVbapaVKrM5dy5c2f9+vXPHsrjjHr1\n6qlogLa2dkHaTUgpcObMGS69Z8+e5OTkEmwMIURjaOaQypQpU27evHmLEYDJjKgiwkKGDRt2/fp1\npVWqVLPlX7579eLdqxcxUVGR4aEAalWtfOjQIfaWMG7diBEjnJycli5devPmzZSUlFu3bvHrmpmZ\nKfRCZ9+6lJBSS19fn38pEmnmTwlCSDHTzB4ObW3tJUuWINvQ8/Pnz3OqYmxiunLrnpbtO/AzL506\n+vC258Pbnly0AeDixYtsYvLkyYcPH167dq3CoyIjIydOnFga9ownpAAGDhzYuXNnNv3nn39SwEEI\nKRIa+6OkYcOGzdp+8/8anCQWJyUlsZkWVpVVLFJt3ta5eVvnDct+PXv0gIonpwvlwzRJSUnr16/3\n9vbOXsbDw+Pz589Kl70QUsqJxeIDBw58/PixQoUKJiYmJd0cQoiG0NiAA0CVqrb6FjZrfrjl7u7u\n7+9f0bLSr39syrVW36HfJcTHxcVG2zVw2L9tI5dv37jpy2dPHFu2HfXDdDZn+fLlOa22RYEOtiGk\nlBAIBLR5HSGkaGlywCGVQSaT7dy509/fv0mrtqN/mFGvkaPqKvu3bdy7ZR2A5m2dh4yd5Nqr37+7\ntiUlJvQdMrJhk+YJ8XH6BoZcYf7+5Y0bN3727Bl3uX37doWBcEIIIaQ80+SAA4wsNCT45rZtAJ7e\nv/P0/p1rzz+qKJ6SnMRGGwAe3fHyunKhS58BMxev4gpw0QY7CbRSpcwtOhRW1draZpmCqlpaWtqH\nDx8qVapkamqa91qEEEJIGaKZk0ZZMhmSEhL5Oa6NbP9cNCcpMVFpeUm6hH+Znp6u+vmLFi0aNmwY\ngH79+imc1nbggHwWyH2/0Lue114+e5LTQ8LCwgYPHuzk5FSnTp3sO48RQgghmkGTAw6pTGZSsYJC\n5qVTx1bO/1lpeT0DA7ehI7nL9q7dVD/f1NR0w4YNYWFh7du3V7jFHssSGRnZu5X9oh8n/DRy4Pz5\n85U+ZNeuXdyq2okTJ6p+RUIIIaSM0uSAAzIYGBr/ufNQz4FD+dl3Pa6+8nmqtMbU+UsGfDeWTbPH\n00ulksiwUJlUquJ1HBwcFHImT54M4OzZs1zOzp07ExISstdNSUnJ/Y0QQgghZZwmBxwyhpEBjVu0\nnr5oRa9Bw/m3Xvo89X541+/ta4Uqfm9fH9+/m00vnTnF1/tRl8a13Du1nDPxu6+fP/FL8pfXNmzY\nsHrN2tzljCWrbGxskG2/UU9Pz+yN5B/I8ssvv+Tj7RFCCCFlh0YHHDIgY/OtKXOynIriefHs7PHD\nvx/UY9ufy/n53wI/4bt1GLMV2mIA+7bKl8V6P7y7f9sGhedzMcei3zd88nvPpru5DerRbzCb7tu3\nr3W1Glz50aNHZ29knTp1Xr58uX379itXrvz8s/KxHkIIIaSs0+SAIzExIS09DUBKSvLRPX83b+ts\nnbF/+duX8i1H/9u3MyFevsDk8d1bS2ZMgY4BTKtAS9e6mm16Whr3tK+fA7h0dGRERFgIAJ+geJ+g\neHbwRX4rKoJL6+nptengmms7LSws+vfv7+iYy5JdQgghpOzSzGWx6enpkyZNupliC13Do0EeoUFf\nTh3el1NhBgwAiSR93qTMGaMQCL8EfNQ3MISuIWRSpCSkpconW+xcv/rfXdsA9Bw49OdflycmxH94\n85KrZ2JWEbzDUzr16Hv0/BXoGiLwBTuxgxBCCCmHNDPguHz58unTp9FtOixr/X14BYLe5lTSytpG\nz8AAQGx0NADUbQ+xEQD0mIUj80IZAwxahsAX8NxpVtECwLfAADbaAHD+v8Nd+w709X4SERbKPXDM\n1Bn859e0q+++ePvjj8HLmmi5uube20EIIYRoJM0cUomPjwcAhoG+KazqVjC3VFLI2BKMIOhLoN/b\n1w9ueejoipu3dUajbvIT7avUh9goSscC5rawqAldw4ZNWwBIyrrSJDEh/uvnLJuJKRSQSNLj42JF\nesaurq4KR8gSQggh5YdmBhzcWZcADMwsq9eqDR19uC3in1aPPvNRz7l6rTrfD+rxyw9j+7RuMGnm\nAovK1tz9DjPWoH4HALC2R932ji3bALCtU7elU0e2QJNWbRs2bVHfoQn/pePiYtmET1D8cY+HgwYP\nvRCi/e6V74QJE+j8WEIIIeWWZgYcZmZm/fv3Z8OL+OSUqIhw6BqgRjOYZGxG3uVHxtwW3X7+FJHZ\nIXH1/KnU1MxdMTySLGGesUO5nrG2tk5qSsqZIwerVq8xZurM+SvXLd3wt46OrkvXnvaNm7GlmrZu\nV9vOnk3LZLJJ7j1jGTEYBgxz+vTpx48fq/2dE0IIIaWSZs7hOHfu3IkTJ9BzNgAIBP7v3rTrP+o2\nYDJ63YZOls8e3t39RT8aDAAM/A3PzuHRCQC3r1+OblkNVSopeaLY6OLJI5FhoV5XLrAZ6/ce0xXr\nAdDRFa/Yssvz0jmBQNChe2+RlhZbID42BgC/T8XT07N58+b5eiPc5FNCCCGkTNPMHg4fHx/eFQPg\ntpcHgFRt/cjw0HVLF0RHRcpvGlZE+1FwXwngi0UTWNVV/kSxEcMIuGgDwO5NawH4vXm16KeJy2ZP\nS4iP695/8PEDu+ZNGrV4xuRPfu8MjU0aNWsFdt4GwwCwtFQ2lYQQQggpBzSzh6NJkyZARu8C+yt/\nwBIAEhk+vH4J0yowtuAVZ2BZEzYNYWYDgVD5E8XG/Yb1OvHsM3yvs7uJJSXEA/jevSd7/9Edr/i4\n2EM7NrOXSQnxq7fvn7Vk1aw//w4FAKZJq7b9+vUr+rdKCCGElAWa2cPRvXv3+vXrZ14zAhhUAAAZ\nkpMS4dgLZjZZKmjpovsMVK6X0wOrN2xewcoGXX7E6E1sl4lr734Kp85ePnWMSz+5dzs9La2yTbUx\nP84GUNOu3ootewwNDYvizRFCCCFlj2YGHAAOHDhgZGYOoFrNOv+cuspmpkql//jGKu/GMKiQOaU0\nm9g0qYzdJt3Mpm6fsRNnLOg3dJRYT695W2euDH83jtbOndjJHOzKFF19Q5GogJ1J3Abq/NNbCCGE\nkLJFM4dUAPz999+x8ZVQEQH+H74EmAPmYE9XqdYYkV/z+7TY5HRuTWukw0D3QXZsupvboKAvn78E\nZG7F0axNe+vqNYaN/wHA18+fTh4+DZuOL0MSjvmGFXj6Jz/moDmkhBBCyiKN7eHY9vcOVGVPjWfu\neFzJvGFaBTVb5Pdp6VJZXKr8hPq45PSguFQAi2dM/m32VH60AWD55l1T5y02q2gOYOsfv71/5cvm\n//fff9KMM+4V+ipy6rqgLg1CCCEaQ2MDji6unSBJAwCh0NyqSuEfeOWqfFwmWSKbuOPiAOemt69d\n4u5WMLdo4+K66dApoTCz0+i+1w1kbC4aERN7586dnB7OHgJX+EaqRhEMIYSQkqKxAceCBQv00mIB\nwKGHb7UehX/gufPnuXQSoxOTkMy/W6eFc4fpf9g1cOBnWtlUh3VD+YVIOykpSfVL8AOCIu/2CAwM\nPPj3pvXr18fExBTsCYQQQkiBaewcDnt7+9k9TZZ4fAbgE5KYa/lcJUh4wZlpFTiPwdXNXEbtnuNW\n3vziE5zwc+vM3pRWfYaf1GnJprW0ddq3b5/rq6ipEyI8PFy+VBi4ePHi4cOHhcIcFgATQgghaqCx\nPRyBgYGH/t5YVE9jGMasaq0sWew6WwCAfecB+z6kSmWyc28jV98KjE1OZ/Pb9OjPlWnUrJVYLC6S\nxhRg/IU/muPh4eHn51ckLSGEEELySGMDjpUrV75/6VtUTzPUETZz7ZMlq6oD6ncE0Lh5a3azDdZV\nv+gzb+XbmGrp6HL57DRSZPRh5Hexa0x01OGdW/ZtXR/y7Wu+KrIqVcqy4tfc3DzvdQkhhJDC09iA\nIzo6ugifZqIrTJJlHX4SaqFSbQCjpvws1dLn33kdlpSYKgW7CjeDRCIt8Kunp6Utmz3tn41/7Nu6\nYXi3drHRUfl9QsuWLZs1k58w5+zsbGpqWuDGEEIIIQWgsQFHp06d2D3Ii4SJrig6Y6Akk5FF6049\n3n/wm3fFn5/94EvsvS+xAGS8Bty4eObgwYMFe/UAv/feDzLHRF48fZTfJ3z8+JE7q9bLy+vp06cF\nawkhhBBSMBobcIwbN27ExKlF9TRTXVFU9oCjRvM3EpMta1ZKucWvGfwCvgAIDQ7iZ/7888+PAyK5\ny7xPxTAz55/8AvNKVnluuFxsbKyKS0IIIUTdNDbgCA8Pf+h1taiepryHA4gSGaN26+z5R/f+/fOo\nQasWzMjMYhgAyUn5Xi+TmpJy3+t6O9du7OWoKdPr1G+oukp29vb2HTt2ZNNVqlSxtbXN7xMIIYSQ\nwtDYZbGbN29+5+uDeu5F8jRjXVF0kpKAA426K6+gre97/zGqNuJlMS7dehkam+T3pVfM++n29cts\n+uClW5aVrblbbAeJwmbnXK8JP18kEv300083btwA8PXr1zlz5hw5ciS/LSGkLIqMjBQIBCYm+f6r\nRwgpWhrbwxEREQGppKiedvvskVRJfmaEtBkGc1vwhloqWFT66Zdl+X3d2OgoLm0TTqQAACAASURB\nVNoAMLxbe9dGtl6Xz6uokhNuDgeAGzduxMXFFeAhhJQt8+fPr1u3bu3atZcvX17SbSGkvNPYgGPg\nwIGQKuuTKBD/Z/fzXcfQHNWbcFcRYSG7/vojv8/Q01dyVNtvs6fGREVmz1egMEHkke+7LK0zNMxv\nYwgpW7y9vXfu3Mmm169f//HjR9XlCSFqpbEBR+vWrSEpsh4OpKdoIX9Pq9m0DZr1y7xmmLNHla9S\niYmKfHz3VlhIcPZbIi2t+SvXZc8PCco88DYvM0+TkpIuncwcQ1m4cGGuVQgp6xQmR9Om/oSULI0N\nOLS0tGrb2RXZ42QyHWlqvmpUa+GaNYOpYG6ZvdgbX58Bzk3nTRo5tHPr7X8ujwwLVSjQqafb/9Zu\nUcisXrOO0hfNKfhITs5y8ktQUJDSYoRokhYtWjg5ObHpjh072tvbl2x7CCnnNDbgSElJef/iWVE9\nrUf/wfGhgfmqciNIcaeviLCQxIQEhcwTB3Zz6WP7drp3avnJL3Ps43lIAoDKNtX5VRyatdTW0clL\nG7j4w9TUtJVzJy7/n3/+oZWxROOJxeK9e/du3Lhxy5Yte/fu1dLSKukWEVKuFWvA4ePjs3bt2uJ5\nrZCQEKSnFNnTvn1BYuF+Q9dpi1qtA/zfK2QzjOIeHpdOHmMTa25+nHHR37Vdy+mjs6y18Xn8IC4m\nyz6q7JYeqsdW2nXszL988uRJvppPSFlkYGAwdOjQQYMG6erq5l6aEKJOxRdwJCYmHjp0qNheztra\n2qJihdzL5U0Vm2pILnSXgL6pdTXFDTA69+6nkOP35tXdG1ejIyM83ocDgI5+YoJiJKFnoGQyqWom\nZuaoYANL+RF0Cdn6WgghhBD1Kb6AY8+ePQMHDiy2lxMIBItXrYGs4CeY8LXt6GpXs7CbZdVo0NjQ\nyFgh81tggEKO98O7i36eONClWXJKMgDUc5HfsKgJk0oA5i5fK2Dy+gfHdXs0atoCddpx81ibNm2a\n/3dACCGEFFAxbfz18OFDS0vLatWq3bp1i8158+bN3LlzAbi7uw8ZMkShvEAg0NbWLuSL3rl2EbHW\nqFIEM8VMjYw7d3R5c0cxOMgXE3MrIyMjxUxTs5xrMADQtC/u7IehOVzGI8zf9svN1b/MWP3LjN2n\nr9o7NMm5biZTU2MAT+8dq2RdNVpo7Ojcafn/fqlfv35B3wdRgh0a09PTK+mGaCCBQEDHDapDkfyY\nJdkJBAKZTKaTt5l2ZZRMVpCjyoop4Dh16pSurq6Pj09gYODly5e7du1atWrVVatWAahYsWL2TajE\nYnFSUlIhX/TD29eI/VQkAUdaarJYUNjOklr1G2YfyPj4/i2qN8EXX6RnXQXTYQLEhgDACKCli7rt\nYW0PqzofP3mz93esW7188668vG5cnODWrVuLZ05Bm+Gw0JFI0h0dHWnjr6IlFAqFQmFqav6WMpFc\nCYVCAwMD+rqqQ5H8mCXZicVimUymsDZQ8xRg995iCjhWrFgBIDQ09MCBA127dgWgp6dXr1499m54\neLhCealUmp5e2G27jI1NEVs0f+QMZIbawkI+RFtHVyKRxCan//UgaFa7KjpCwYObN/Zv/wtjtiHU\nD5fWQcJ7y1Z1wY2bOI+DsSUACLVgYYuPjwF8DQz4e92q9q7dcj1a5Ulg9JKVfwCAli4YPLztFRsb\nW/h/iycnJ2trawsEGrvQqQAK/6UlCmQymUwmow9WHYrkxyzJTiqV0pdWKU3+bSFJjEYBun0Souob\nKu7xJWQYE93CBhxP7t8GEJWc7vExetaljwA+f/SDQ3cYmKFue9g2y1qct3rFvhOsG8jTuvIdQgP8\n3h/euWXKkD5+b1+rft3UlJQn927BpiGa9gUYS6sqBYg2HgdEzp4929zcfOzYsZ8+ffrhhx9sbGws\nLS3Pnj2b30cRQggph4o14LCwsJgxY0bu5YrI9evXgXwHHEbSBHsbC4VMkQB6kkSkFaq/5PXzZ77e\nj9kGBcWlAmjcojVqt4WWLgD0motu02FeQ14623JZuaZuWc+Ewz3Pa6pfNy42BgCMLNjHWlauXIDG\nHz+wa8+ePQDOnj07ceLEo0ePsvljx46VFOGOroQQQjSUJvdwTJ8+Pf/xBtqkvOxS3aCKYZa5VCKB\nwNxQjPDPhWsRExURxnZdsPNBrKyr6hlknGkiEKJ+B3SfDgCmlaGb88LXSlm2GX3x9KFMqmp+SQVz\niwrmFvIBGm29XkPHFKDpn/0/cGlvb2/+rbI7VPngwQN3d3dzc/PFixcXbA4UIYSQPNLkgGPevHmQ\n5fsf35eO7ju/a62FvjzgcK1pwjAwFYse3vIoQH8JAKPojCOjGKZx89bBcanImOJ76tDexMSs00jN\nrNF+FNoMh3GlHJ/YbqRuv/moWI29enLv9vULZ1S3YfO/Z6rXqgsAle1iqrYuwLto0qqd0nw3Nzd9\nff0CPLA06NWrl4eHB4DNmzefO3eupJtDCCGaTJMDDgAFOaE+LSko8LNYWwBAT1swpKHF+u419LQE\ny+ZMK1jA0cpRPgLiNnSUvpHxMq/PABJSpfufhT5Oq4jK9bKUFgjRsKuoemPVz0y2bY2hf3DDLl8/\n53gMpkSSfvHEkWN7djRp3ZbNiUtNK8C7cO3l9tdffzk7O/MzJ0+evHnz5gI8rTRQmJ/v5+dXUi0h\nhJDyQJMDDoFA4NK5e463Pz5WEo6kp0KSbmVTtWcdU2Md4cSmVtVNdOwt9OVjFgWarGCqL99TWVdP\nLyVdlpwuBSCVyR59jdWv3gCCbHNRdQ3SdfJwdryWLnrNZZMt2rnkVGrn+t/XLJ53fP8/Jw7uYXMS\nU/MdNrG7hw0ZMmTfvn38/OnTpxd4HX9eDrlVK7FY3L175tejY8eOJdgYQgjReJoccABo34F3ZKvv\nVSTzVvNf+BOP/lMoXzHGr//wMd37DfbatqR+2L1GFeXLhhmBoI/7CEgK0jegpy0QawkAyGRZekje\nBUV+TS3caVJWdpaVrZdu+LteI8ecihzbuyMjKe8OkfB2X83+W19FHOATFP8+Rrr/gteA78b1Gz76\n3r17Bd6OqcSjDdbGjRtnz549cuTI06dPN2rUKPcKhBBCCqqY9uEoKUJBxlqPmGDc2odqjvJlpZJ0\npCbB5xIqVEXNVtzYxLIxvXXjmo/uzf5j98T7MzsPXbktEAgBdOzZ98zJ5wVoQ3J83PBGFjufBN8N\njHWtmblTSrpI/CW2IBFMJj3jEFuXty+ft+nQOacibTp0vutxFchc9lLIyZEmZhXrNWws1tOLE5sX\n6kGlgImJyZw5c0q6FYQQUi5oeMAh4gKOxBgkxWTu5um5AzIZ4iNwdhXMrDFwGfRNAZze97coPoyr\nHh4a/PbF83oOjgCsrG0gKcgJq09vXhs0eAiAwJiUt+FFemSaQIiqDhFhjxSyH972PHvkACMQDBo1\nYeyPs1JTUh7fvVm7XgP2pNon92/ftwxv1apV9uexHQ/s/x2slCyTSYyP/9/P33s/vAvAqXP3X//c\n3LhyHkZ/CCGElHsaPqSiLcwIONhNPKOD5JdhGbMsZTJEBOLmbvbq4qF/tHWyHGM97bv+8yePfvbw\n3qM7XkhNLEAbvnx47f9OvjfXx6ii3vq6go1xm/78jFM37i4453vPP/Sux9Xpo90rmFuu2rb32vOP\nzdq6sAUCP33s3bv3mzdvVD9Y6ajHk/u32GgDwM2rF4O+fC4lgyOEEEJKOQ0POPS4/cil6QBwbrX8\nMiVr6PDaE+EBOPUbkuP6Dh1pZV2Vf/PRHa9Z44ddPXsSj08iIt9bcSREhR7asYlNH3+luIl7YWnr\nfZaZBH2Rt+rY3h2btu+AnTNcp7DbdbD7ZyTEx3lc4pbOMgC4U/Q4eZnPoaMr5l+O7Oni6/24KN4G\nIYQQDafhAUdFPZGOUABAzC6mSEuGTAZJOhKjFYvumwb/RwAObNu4/4LXzuOXxv44m3/f0qoyIgLh\nuROp+TzuKK6og4ys7r3+9N2oUWsWz5PJZNv3HszYOqwKBixBjRbhoUFrl8zv6+oUXDVjIw0GAGrX\nrs0fQMmJT1A8v0CzNu0bNmnOL7Br4x/UyUEIISRXGh9waA1uaA4gKTaCzRGlxOHoPCTF5lTlypnj\nPo/uV69dt13HLlymi4vL5jWrjU3NEPAM8RH5aIH/YwS/h8qdQAvLtDLqtLt44sgrn6fQFmcewqKj\nj3rOv82beeH4vzCxgtg4owIDwMXFpQAvJRAIh4ybzM95/uQhSs2qE0IIIaWWhgccALQEEECG55fZ\ny/QDM1rWtlFd5fPHDwD8MiZe2NjWWLdunVgstndoAgB39ufj5dOTgYwBHfUR6QDYv3V9liPfANRt\nL99YTMTbLYNhWjl1KHCI0LR1+4ZNW3CXA0aMLdhzCCGElCsavkrl1KG9/1x9hlaD8dmHzZk4fnyL\nds6A7MHNGznVaty8tUwqXT7nR/Yy8KO/l5fX1q1b3759CwDv7zHSdJlA8aNjwMiyb0XK9m0UYMPT\nfGnSG5+ePH78GMPXKN5iNxZj+JEl09rFlV8kL8GH1+Xzv82eCmDo+Clrd/3rceHMqxfe9R2adOja\nq5BtJ4QQUh5ocg9HQEDAplWLIUlDWgqA72cu2HL4jPvoCdVr1RmadVxAgY1tzdS0LMtJnj9/Lo82\nAACyp0rOZB/uoGxfCjbUUHcPByOAmQ10DWCWrfOGDTX4Z88y+T5uLTkpkY02ABzeueX54wcde/ad\nOm9xx+59GIH8K6Q0aqGhFkIIISxNDji+ffsGAEmxSIoBUKuefR37huytj+9VLQpNSUnW0dHt3Lsf\nl9O0adMsJZ4qHpZma8h0qWWSuQqXw54ep+4eDgAO3WFQQUm+bVMIFTpjGN+n+VtaEh0Vyb/kBpsI\nIYSQPNLkgMPBwQEAPtzD+T8A1LV34G41bNIip1q16zXQ1tYBMGvp7wtWb5g8e+GBS7cGDhxYpUqV\nzELxkfiW5ZfuR8+T3148WO5aXaBwPm0hDmHJHzNrhWPr5Rr3hHGlrD0czK1rF3+ZOs7/XS5bcXAs\nrapwsRqA+17XlRbLqZMje75UKpEWQxBGCCGk1NDkgENPT+/58+cjJ/7wnXv/w1fv6fFOUa9eq87y\nTbuU1nr/2vf8f4cBCIWijt37DPhuXKXK1gKB4MyZM7wjS2S4zTvGLD0VQW/nTRrlaGVg/zbr+SzF\nM6TCyn4OHACgTgOHxeu2K2Q+uHlj5/rVSstn9y3ws7FpZvfJ0/t30tNy35Q9p/GU+cv+6NK4VpfG\ntTZs2JDHBhBCCCnrNDngAGBlZTVy8s+jpkw3t6ykcKulU4dWzsoPCPV+cEchRyKR/Pzzz6+fe2dm\nJfB28gh6i3d3AHz9/Cn4qQcenci8lZ6S+X91Eyj/03z3ylekxRtVqeYIixoAHt72DAsOev74QWKC\nqg3Xfb0fj+rl8ui2J5dTqYq1UJS/6cZc8OHn57dzw+9setmyZXQoPCGElBMaHnCoNuN/q9yGjcqe\nb1vbDkDwty/PHz9ISkwEsH37dsWtOaO+4WFGZ0aK/Bf2tj+XhwV/Q0xQZrG0lMz/qxuj/E+zbrvu\nmx4EZ17rm6JidQANmjQf2qXNjLFD+rRu8C0wAEBaauruv9YsmDLm77Ur2DcO4NLJowoPDP76xeOi\n4iwWVq6zRENCQlRcEkII0VQavixWNbOK5lPnLQ75GnjPK3OJbO16DQaNnnDxxJE1i+exOU6du2vL\nso8gyBDqL0/GyH9rxkRFAEAy75duWnLm/9WNyTZlFQDwtkYPxGc9w0VLB4Dv08xT307/u3/y7IWH\ndm4+uGMTgIe3PdPS0n6Y+z8A3758hlCEwatwZD4k8s8hwO+D6rYo3SjdwcrA0dERAHtmb+NGDeSX\nhKjHiRMnjh07ZmhoOGPGDDs7u5JuDiHlWrkOOFijfpjx9qVvZHgoe1nZooKDlWHPjGgDwM2rFxs0\naKCkZvA7xAQjOV786N8k4PuZC3yfPAKALy8R6s8OW8i3JU2OgyQNQi01v5U891dp6TZv6/zojldm\njkwGgD9m9OLJIwCfPrwL+fYFDt1RqQ6MzBH1jb3bsEmznJ6tupNDLBYf93ry2+mHSdD6ta+jWCxW\nUZiQwvD29v7+++/Z9MmTJ0NCQgQ5DDsSQooB/fVDLTv7Q5dvc5deXl779yvuJerr6zt+/HgAtes1\naNHORZ4bG4ozq/DmZlJiAoBnD++ls1NEE6MR+AIAQj7g3e2eA4edvOXdrbo+1C3vP0wZwaM7Xj36\nD+Yyeg8eEeD3/vHdzGGjD29eXjx5ZHz/riHfvqL1MACo14G7GxeX497wuTI2NbOqWl3f1MLI2KTA\nDyEkV97e3vxLGr8jpGRRwAEAClMgQ0JCGjVqxM9xdHRcuXJlWFjYkHGTH/KmTyLMH09OsckHtzxM\nTM3k+eyylOR4SNLDgr8ZGhlXtVS2SUbRymFIJaeSF04c2X3m2ootu0/d8bGuZsuuzeG7cYHb34wB\ngOb95S/hNOZZomGBm7l9zYqLJ44+fXBn4Y8TUlKKZXYLKZcUBuwsLS1LqiWEEFDAwWIYpjvvn/u9\nevVS+Nmkp6fHJvzfvVLxnPE/z+3Yoy8A+VwHqQSAnr5BETc3B6YVlW11qpJZRYsW7VwMDI2QLeoC\nYFs7Y2MPNpIRakGoBcOK+vXaJJhVT04vyIl0kZGRx/buAMOAETy4eePKlSv5fQLtXkryyNHRcdu2\nbZ07d3Zzc7t16xaNpxBSssrRHA4HKwPk/Ovqp4XLGjZpLosJ6dmzp729fadOna5evcrd1dXVZROR\n4WE5PX/W0t9NK1RcsGp9/+Gjp67aCshXw44d7u5gZbDz1tucKhYVl259T37I2y9jRgDApVuvqIjw\ndUsXJCUmNm/r3HfoyGOXPBDqx87n6D14xKSZvzCM4Pi5S8g4OGbSllNR8UlHvmh5foqrbxnZv17F\nfLXQJyg+MjyGbQGMzKFvKimGLdFIOTZgwIABAwaUdCsIIUC5CjhUE4lEXfoMYIMSAOPGjRMIBHPm\nzGEvBw0axCbE4hynYlw/d6pD9946OrqvfJ7i1Q3YNkNyHAA7O7tXr179u2sbnNV7sKqOWAzk8V//\nTKUq1gnx8XN+/iE0RYgvvg9u3rCytjGfsFEkTZvXUFi/fn2GYUK+fRXr6ZmP+j1MID9s9p83qWlR\noTCtAuBbbKpMJmPyPo4DANDVFVewsIoQG8Gyll7T7l26dMnfm8yGjSC5PzhCCCGlUzkNOPi/n3Lq\n8xgzZkzv3r2fPHliZ2dXrVo1NrN7/8EnDu5WWt774V2/N6+e3Lu9d8s6ALizHwItAEKh8NSpU8h+\nkGxRk8ry/BIMgr9+CU6QYMxWRARi3zQAb1/6SsyswpKZ5xJze4aJi40Z3q0dAIysg4ryGRtpELDR\nBoBTryOcqhk3qpS/ybD3b92IMLBB/Q4AEtNkkZGR3HBVAdDwCiGElBXlZVBTxb+AHawMcrpbsWLF\nrl27ctEGANvadZu1dcrpUWHBQfJoA0BEIML8u7kNqlq1qpmZmfxQlfxg4iPw9lbu5TLIkPfOBgYA\ndPTBCKAjjxj2fdOPTEwDsMs7ZMTee5vO3Mwom+NjgxW298gDbS3tzEPmtHRnzZqV3yeA4gxCCCmD\nykvAkRd57Ja3qlKVSzdq1nLcj7PZ9IzFq7gz3Fl9Bn83a+nvAEaOHFmjZs38tkeWFIc3N5GamMfy\nUmneezgYJWmxvBtDJkOwzOB6pB4qsIfd5xhw/HHn63X/6PjUfMzDaOXcyaKyNffS169fDwwMVFqS\nogpCCNEkFHDI5X0SgNvQkcYZy1879ugzdPyUa88/Xnv+sZvbQH6xSpWtR/0wnU3r6em5Dfku3216\n4wm/B4j4ksfiTx/ezd/z2VBDSxeWtQAofhmMLNBmBLr9jArW2auyZDLZypuBA/65u3L+9Be8fUtV\nEGlp1W3IHdvLADAyMsp7k7koROEQWopOCCGklCt4wBEaGlqE7Sg2hZxd6GBl4Hn5XExUJHu5fukv\n3C2BQNiuU1fucs6yP41NTLmXEwryN7kSAHwuAeB2E4fPBcSq+sw/fnifywPDPsoT8l6NjIGV1kOg\npQuRtmL52q1Rv4OKHg6WRGxyXavR9NHufm9UrRnmJCdn7L3BMABUbDaarzCCYg5CCCnNCh5wNGvW\nrF+/fqdPn05NzfdAfnFSMUWDI5VKT548uXLlyjt3FM+JzU7F2ar8JRu+zx7zb4kKEHCwu4dFZow4\nvLyO24pboCq8fC4P/HAfkV8ySzqNlufrGqHjRJhXV/rQPDW1gjUYwZP7t3MvCRiZcBuMMgC0tbWR\nc7hAMQchhGiGggcc/v7+33///dGjR+vUqTN9+vRnz54VYbPUKnv8sWrVqokTJ65du9bNze3SpUuq\nq08blzk4MmrKdP6tW9cy637K2t8g4kcDUV8hSc+8fHkN4QGKLyNJR3oqAFzbgqivuLkbwe+RFKOq\nZTmcFptJKpWfcNvSXa9eG1hnHBBjZI5KdVTUy51xJbhOsa5mm5eytetnvC6Ds2fPKi2jNHTISzxB\nMQchhJROBQ84RCJRt27dNm/ePHv27J07d7q4uDRp0iQvPQSl0Lp167j06dOnVRe2t7d/+vTprCWr\n1+4+8t2kH/m3ersP59JNW7fj3xIJeQHHxydZpoJ67MSLK4rrZpPjMtOe/+C1JwB8ealq3UquPRwy\nbnYnY9OwVWa+QQVUqKqsQj5Y1GvW2sU1LyWZjMDIbdjoVq1aqS6MjOkaFEkQQkiZVvCA4+DBg336\n9GnYsKGvr++5c+ciIiJ27tw5cuTIImxcsenWrRuXtrKyyrW8jY1Nt37ujZq2UMifNOuXUVOmO3ft\nOWPxqi59suxv+Pnti4ykDKH+8t4LADIpUpPgfRZeu5EQlVnhzoHM9MfH8luSNATnPFEj9x4OCRfW\nyLSL+JjWcK0Kx19F8HN8ghOmnP1w8LnivJN8rKbJwYunjy6dOhb8La/TaZFtkikhhJBiVvCNv27c\nuDF16tSOHTuKMs7gaNKkyYoVK4qoYcVq/vz5SUlJXl5e3bp1mzZtWl6qOFgZZP8FpqMrVujz4Dy6\nfgl27gAQ9gmvbqCeCwwrAkDgC3kQ8OQUfC5g+Fp5Z0Pgc+UvHPwOKYnQUbJZlpGpWS5HuEolyNgc\nTCAs4j3fpDKZX2QSPyc4PvVdRNL7yOTo5PTRjpb6WkI2n9svRGGjMp+g+LxM6T24Y9Puv9bwc6bM\nXdR/+Ji8PCePL0EIIaTIFbyH459//unSpYso64lfgwcPzql8aVa/fv3//vvv69ev+/fvNzU1LcAT\n2KmpDlYGNXM4RVWcGomYYEB+ohvOrZbfuLU3s1B6Kv77VZ7mD6nwfX0Fzx1KN+cQaWVbZqIgPVX+\n6sCbly9Uly2Amx+jH3yRxzzhiWkX3kUBkMlkJ19FnMza+cGSZZtykZfRE4VoA8CW1UuDvnxWeE5O\n1amfgxBCSgTtw5GJXS5RAOw/miMjI4cMGWJra+vayPb1c2+FMgOHDMeHB0BGwMFNGk1LzlIuIcrs\n0x147kRKzvt9vbyOHWPx6alCdmSEkl/qWaQly1e+ID9n2edZihQ+X6PZdGBsysvQzOU8e7xDfIIT\nACSmSu8Fyqe++r97Exsdld/BjmZt2mfPDAsJVlEl1+eXkiiklDSDEELUgQKOIrNly5br16+z6QPb\n/1K469iijduQ4QDE2iIAkKTJI48keU+GQCDo1KPv5kOne1dKxdMzXEWRlpaSF0tJxOnlSMo6hJJr\nDJGWgozTWV1798/Lm8qvS7efxCQkA0iIU/zdGZaQBsAvKvlFiDyW8n32eOmsH1KSk5AfbkNHZ8/8\nFhjw/rVvHp9Av9fLj6ioqA0bNqxcufLTp08l3RZCyjsKOApOYTZAWFjmyfUPbnlkL2+gpwdAmhwP\nADIpvM/i1FJupatUKnUf833dBo2unz/Fr5WelpbtSQAASRqC3mTJyXXSaHJcdzf5VNbU1BweWzix\nFWr9tmX3lbMnFv+5UeEWO2Ej6z7ozLOH914/z+uC6sSEhLjYGD0Dg/0XvPae8zh05U7H7n0qmFsC\n+HPRnMmDex8/sCtfraXIQ7NJJJIJEyYsW7Zs7dq1zZs35/8NJYQUPwo4ikz//pl9BsMnTlW462Bl\noCUQAEiJzOj899oF/yybg5lbVgLwJeAj8uj8n1kuBSrngcaGNq9rm5bRnXDzWi7bjRTYs+cvfv/j\nD7QeqpD/j9fLX6b/cPv65cysBp1Rxd6kQgXkJjE+fuG0cX1aN+jXrvGMMYO/6+Ec+NE/8KP/jYtn\nIsJCuGJbf/+NS/M3QS/M2ymj/v33X3d398GDB+e6r4wG8/f39/Ly4i5v387TxnSEEDUpp8fT58rL\ny+vu3bsNGjTo1asXk/NQBX+tirOz85UrVzw9PevWrVu5sZJ5BiIhtGVpqQ+OKX2UU5ceRiamAOo3\nbvLqmeL8jNr1GizZsH1Yl7ZZctOSER8JA/nBLlC98OTLy6nTp/+xbS/qNAHUModDruMk3P83e3a4\nwCjc9x0+RaBvxn7wAqFTvxHVa+a+59ipf/fe97rBz/l94Uxzq8oKxcwqmue3sSEhIYcPHw5NlNhM\nGmNmZpZ7BZ5Su+blw4cP3GKrGzduvH37Nr9vTTOYm2f5Plhb53gqECGkGFAPhxLHjx8fOHDg2rVr\nx44dy98TTCn+rxxHR8fp06f36NGjcWVDZBtzeeR5NS0mLKfzUHr0ly/wGT1lRva7035ZalGp8vq9\nx6rVrJXlxsklmWmBfN0pYkKQTav2LlWq2mpx+4/lOv5SYAyTvXtDTktH4XUtq9XIyyOj+fNhreoA\niI2Jzn50i1Akkkml3GWu01ETExIaNGiwfOeRHdu3jh8/PiUlRUXhXD37lsPComL34cMH/mW5nb5g\nYmKyefNmNj1z5szmzZuXbHsIKeco4FBizZrMhZcnTpwokmeeP3/+2Zm9YIbtPQAAIABJREFUsgCf\nnAq88pEvbHl421PhlmXlKvUbOQJo4Nhs6rzFWe7FhkCW8StWpAMA/o+we1L2NSxmZmYyqTTo4zv5\ntfp6OFRgBApns3zM2+/CDt17y1NiYwz9A7rKFx+HBQdN+25Aap7jBvliopaDUKvNrVu3nj/PYe+T\nnJXO8ZomTZrwL+3s7EqqJSXO3d09LCwsNDR03rx5Jd0WQso7CjiUSE7OXKoaHR1d+AcuX7589OjR\nCH6H61tzKrNv6/pzxw59eP3yv307FW6FfPv64c1LNu3Ysu3wibytyVIScXmDPG1tDwARgZBKcOo3\n+F7jP0QoZAL8PwR/yvi3r/p6OFQwsVI4Da6ipfJ9XYO/fVk6c4prI9sNyxampabWa+TY2rkTABiZ\nAwxaDMzpFd68eHbgb8UlQjmpYGEBAIwAYgMAlSpVymPF7ArfvVGEsYuFhcX169eHDh06atSoe/fu\n6ekp2SauXFExKkoIKTYUcCjh6OjIpTt27FjIp7148WL9+vV5Kbn+t18mDe6l9Ba3scddz2tel89Z\nWlUxNM44czU66xYUcWEAIJXgxjb4P+SyhQyjo6ubuZK2RAIO1x/QuCc/w8hE+YzRdUsW3Lx6EcDZ\noweXzZkGYNzPcwBgwBIAcOguL+c8Fp0mQ8+YX/fQjs0x0VFQiR1tqVajdtOmTQEGIm13d3cbG5sC\nvCf+wE3p6fBo1KjRxo0b//zzz1q1auVemhBC1I8CDiWWLVvWq1cvAO7u7suWLSvYQ7gJHOHh4YVv\nUl17BwDJSYmLfpzwJeBjSNDXuJiMrpdQf3zOGKn54gufi/J0eip4IzgpSYlW1lVr1ayJD/eAkhpS\nYWDTkJ9xdO/fv/44QaGUz6N7T+5lnlF358aVe17Xq9esc+7BS4Y9AkZLBwCEWjCpDIfuqN5U4Ql3\n+GthcvbgpseTJ0/AMABz9OjRQs7h0CSlJ3IihGgMCjiUsLKy2r1797t374YNG5aUlL9tqbLLy1S1\nth278C/X7j7Cv5w4Y0Ed+4YAAj/6K6mcnpJ5hGxiTOaUDgCJmeNB+ro6URHhllaVEfYJQKu8neyq\nfsw9z2v8pa0A/l67SqHQm+fPEuLjfps1NeMcFgb1XNBqCGq2AACxkUJ5oShPy69CwkJhWhlg2IGe\nmJiYgr0HPjoljhBClKKAQzlfX986deq4ubk1aNDgwoULhXmUgYFBzZo1VRQY8N24eSvWccfZDxk3\nWSDI8udSu159NmFbu67yR8Rm7GiUmHXGif8jrvPDUKy7b+uGOx5X2TPT7t9UsjVZSfG8dB5AakrK\n7WuX7nvdCAn6qlAgPDx09cKZWbZTaz8a1vKPBc5j5CfeZYjN28wbWY2W6DQFDMAwXbp0sWCndGSj\nNIBQU1RBwQohRFPRPhxKvHr1avTo0dzl/v37e/ToUZgHOjk5+fn5Kb01afbCgd+NA7B88+7Xz72N\njE2q1aytsNu3XUP5nBL/92+UPAJAwDM8OAYDU9zZnyU/LRlRX1HVAYCuFhMZzq7IlQElNIcjO4YB\nsPWP33oOHLJw2vhnD+/J800rQ9cIQW/EevpJiQmXTx4FADunzGYbmGVuQAIGxhaIyDy/LeOd5kKi\na2jXyDEuIrRSTesd07qqKJnfLTdK7RYdhBBSUkrHb53SJDEx0dnZOSAgoAif+euvvyrsQcTZ9od8\njohIJGrYpHm1mrUB6OiKj954uGDBgvnz5/v6+oozVhnEZe3z33L4TPvO7PRJGe4ewJVNSo58yzgl\nzlJfSz5ww+4xXlrm7cub0at982cfebNfh6zG0N9hWDEpMfMEOLQemmOzncZCJ3MtRrtOXdPT0vze\nvIqKUDWBRiKFto6ulU212vYNc1rK8fXr14e3PaMjI/Lb90B9FYQQwkc9HIqyd0UMHz68kM+Mj49X\ncY5DSkqyjo6uQqZZRfPp06ez6eCMX10NHJs6tmjj/fAugGZt2teoWy+VW8Erk2WEElnUsK3hDzS2\nMmhT1SjBlJ23Uap6ODIStk3RtC8OzcrIFwLAsDXw2IGIAEQEZmYqZWaNCbsR5o/TK1ycna2r2c6f\nPJr9oGYt/b2b2yCllWSQySADw8h4nxy/c+Ly5csjRoxg0+v3HgOa5evN5dTPQf0fhJByqHT81ilN\nqlevzr88ffo0u2KlMF69UtwTk8/36WMVd8Fb8KKjK168ftv0RStmLVm9eN02kUjEn9agp29gXc1W\noW5VY5GAYQy0hQKGaV2rEgD5rNLS0cNhYGgMAIbm6DQJOhm/g20aQqQFAPqm6DUHveahgg2gsIVH\nNtpiVLFHr7mel89NHtybjTYA/LloTk41ZLKM/7LGalznxL59+7jMk4f25OedKT5KIYfmlhJCyhsK\nOBQZGhqePHmyS5cunTp1+ueff9q0aVP4Z9arV49/+fd/Fx2at+IuL/27K/u/dxVyHKwM2P/0DQx7\nDhzarZ+7rlhPKpXoGWQWS0yIZw9+MzSW70vRon2H2cN6talqJBYxAIRCYevWrSEtRQGHSYWKzl16\nwMgcuoaZTXIaI981lVXBBi0Ho277zIhEhQo2sKgZGvyNnyeTKen7kd9iGKkMyGEEJC4l82xbvzev\nuN1QvgUG3LhwOvCTskVDhBBClKGAQ4l27dodPHjw33//7dOnT5E8sHLlykePHm3j4tqmQ+e1u4/0\nc27WrJE9d9fDo4ALRs4cOZgYr+TXZLPWTmzi4S2PwE/+pmKhqVg+dtaoUSNI0wGVwxPZSSVITy1Y\nI1X7EvBx0qxfHFu2BQBDczQfAPAOheHYOaHnLOjmIeDQN1XYh7RLnwEMw6SkS5PSpAplZTIZZIAM\nshw6T/oOHclv6rQR/f3evHp0x2tkT5cV834e06cTuzsZRyqV7Nr4p2sjW9dGtmuXzJdkTKDhlKG1\nLdQBQwgpWhRwFJMOHTos3bhj6Ya/v+vVEcCgQZmzCmbNmoVsXRo54Rf78NpXaRm/d6+59J5N6yY0\nsRrRyJK9XLBggZZICOSzhyMuHJ471RFzVGvUcmiXdvLhD6FIvju78l//eW6weXX5EAwA4MqZ4//8\ne3z6Jf8lHgGh8Wn8gjIGUplMxuTYBdKsjdPBS1nONH9w2+P88cyzcK+c+Q+ATCr9+P5tWHDQjnWr\nD+2UnxZ24fi/V8+eVN3SMhR/lF3BwcGvX7+WSCS5FyWEqBMFHCWjadOmu89cnzpv8bFjx+bOnctm\n5ncioX3jzB02m7SSn1zf3rV7elpmZPDhzUs9bYGetvwPWl9fP41dc5uvgCM1Ac8vIepb7iXzLjwA\nQIBRXZjbZgYTQi1UqgOx8rPZ8sq0Chpk2Ujt+pM378KTHn+L//7kK9/QzIU8MikjlcpkMllAdEpy\numL/B8uychX+pY6OrjQ981eXUChKSUle+OOEsW6dB7g0O7Z3B79waNBX5PnXf6pElpiqvA2kwHbs\n2NGwYUMnJ6ehQ4fGxZWW43wJKZ9olUqJsalew6Z6jexzNXL9/cRVkfVzT4iPe/bonpV11ZGTfjI0\nNklJTtLRFf80cuC3QPmmFOGhWU5a0dPTyxhSyU+sGR8FABJ594CAYZpVNnj4tRA/vqUSvLoBpzEA\nIDbM3B3VuBK6/ggD5Qes5EPVRjCuhBj5ew8NDYY9AMRJBNMv+m3vU7uGqe6dG1d2/3sDNZqbGhtH\niS19QxNb2mTuWMr/U1jzz+GZ44YCqGxTbesfWba6Hzzm+1tXLz24eUNpK1o5dcp7kw88C73kF7XI\n2Sa/cafCF4ablEoLYSQSyYIFC9i0h4fHsWPHxo4dW7JNIqQ8ox6O0iiPvyoaVzYcOHL8sr/++WHu\n/9iz3HR0xQB6DRrGlRk0KstJJQEBAZBKgHz2cLCH3EYHsVeLO1Z1qm6sqnyuHh5DSsYGG7oG6JGx\nGtbYUmHP0AIyt0WtjGm5VnbokPkhyGT4Gpsik0r/9/P37KbmUZHhAJLSJNlXjkgk6Qf/3nR0z9/d\n3AY5tmzzLTDL7iytO3Su79AkNTXLCSwNmjQHUKVqtd93HGA3pEfGmhQVoaRPUHx0SlpkYppfVHJO\nZVRTeLhMJrt48eLWrVtfv36dUxUVjwr+Gvji6SP+scklpTDH8CoMo9BZOYSULOrhyFFERMTdu3dt\nbGwaN25cJA9U6L3IqTOj8P8w7dy7v0hLy/v+nRp16vGDDwBSqRTpaUA+ezjiwgHg8npx/XbJMkE1\nE91vsYX72Z2WIl8sA8DADPqmhXqaMratuqxYPd/r0pltJ64ozP+ITEhJTtaC2Fh+FAsYAKER0aim\nGEWdOLB796Y1Ob3EPY+rqSkp7Tp2Wbt4HpvTc+DQ6YtWpKenC4XCNy+evXz2pH4jR0aQp4+anbia\nkFbwqQb8r9OOdauO7vmbTV+4cCEvB/pw/s/eeYZFcbVh+NkF6UhRpIPYe0URe48lxpZYYosaNRpT\njFFjihoTo4ktscQSe9fYYkexgiAK0ov03jvb23w/Zne2L7sLCMk395Urzpw5c+bssDvnnbf+c+HU\n3l82AlgFxMbGuri4GD2lxsXMzGz58uUHDhwgd6dOndq486Gh+T+HFjg0k5GR0b8/uRph/fr1X331\nVV1GCwkJOX/+vIODw/D3F6Bu8sSrV6/S0tKGDh3q5uamo9uIcZNGjJuk3t6uXTt7W+tKAExTAKgp\nhY2jXPgozQKfDfcuSueIRVKTh1jk3bzZ4gFe7rZmLjbNxrS1f5CmV8kSDRASqWUHDZWCLMPc4/Td\nZ3d2bkGb/iqH9r0qGuLj6Nx7eJFzOxSlksqegJtXp/dZpdIzITpS91XMzM3NzM1vhMa9fhHs2LJl\nl559SwoLDm7/+ekDaf2dwaPHbdixj6ked6MG6beqPYDXMChpA8DVq1cNEjhIaYPk7Nmzq1evrp85\nNQabN2+eOHFiUVHRsGHD7OzqppajoaGpG7RJRTPnz5+ntrdu3VqXoZKSkiZPnnzhwoUDBw789r3U\ndiCRSM6cOXPkl/XHjh0TiVSDJ7Xx+++/T5gw4bPPPuvZs2d8fDwANqsmMSaSVVNd67mk4oTBYFQW\n5gCAiQkAZIRDqKA2v/QtXl02Eykr0vlsAD7tO247eGrflC69XWwAJESFh1w9qee0NSARSy07aMCc\np68io2BmiR6qRVIIAul5xUWlZQDAYJACR3rKG0Ki6rPZoUs3raObW7ddf1FCEACsrK2HjZ3Qq58/\nj8v57YevKWkDQHDgvbjICB2TVDC1kBKHLlOX/uEnvgOHUNssFksoFOrorAOJ2j15m/D5/JzM9Dqa\nQvz8/N577706ShtlZWWBgYE5OTl1GYSG5v8cWuDQTN2r0lOEhIRQ2xGhwRkZGQAOHz68atWqCxcu\nrFu3bteuXXoOtWXLFmr73LlzERERkwf2+GzutCmDesZF1pKulKKbtwt4NWhmCQB8DtiUloIAn430\n8Pd9mC2EFXJHzsJkAHOWrKTWMLFYtGrBDHZKOATG3iWJWK7h6D5WZ1fjKek4Dq4d0UbDy311dbXU\ni4UhrU3v06GTuu3D0cnZw7uNq4dXv0FD+/oPbuWioFUyt07jW45dv390D5+/dm8jCOLR3Rvv+nWN\nDAtRGSRevz+NVMOhKT+9EcxatJzavnDhwtixYx8+fKgjAZoiy1Z/S21/+OGHOno2KLGxsR4eHgve\nHWFlZUWK141FVFRUp06dZs+e3adPnxs3bjTiTGho/tXQAodmYmJiqG2qpolxdOjQQXH3ypUrAIKC\ngqiWyMha9PYasbKy2rdvH7WrEpCpg/6+fZAcAs/uAMAuw2OZ7p3Pbdex05Z9RxeN6tsh9jRe35S2\nB+7v1qffsLHyermZKckAkB2NyJswDkICyqHPwV1n1zpgaYdJ6zUeSX0T364L6dHJMDExBTDiHaUk\nb+UlxX/8/MP2H77OzUovyM22srH99dDp5Wu+l/doZg6AlGYuHj/07d6Tm+7Ew85Z/Vo1VXoZnkhZ\noFaRoFb/U5Je/f3X/PQbtRsXFzdr1iwfH5+VK1eWl5dTQ/1x/MK702fO+mhJSkoK2fjy5cv4qIg+\nAwYtXfVNRkaGu7thf516TAGiKIjv3r27voY1giNHjlDbirpPGhoag6B9ODSQmZmpqJawsamT18Xg\nwYMVd4uKigB4ecljMVq2bKnnUKdOnZo/fz6AIUOGLF26dM2aNdQhdXOANnz9hxxLCACA8lzEPpBr\nGuLut+3YxW/oSADdevuG7t2N3u+CaQIea/fxiwyFqBZrW1mejLBLyIrEsMVwbqfn1aWIhPLrNihm\nlhqbL8WX97a3A+Dk4uZg1zy5nG9rL1e537v+t0oFlqcBt+OjItiKpqsZvwAyVxjgRZEI3cciLx5V\nRarXOvnX9PmLWzhpkEUUIdUP+us3dCztkS9DLh47FB7yTKWdzWZfvHhRJBIdPHgQQFJc9M9rPyMP\n8atKr169WllZOXHiRLLl9Yvnny+eW8cvf12icxXNQPWocTQCRtOoA0BD82+H1nBo4JtvvlHc7dOn\nTx0HXLp0KbVNpktfu3bttGnTAEyaNOmHH37Qc5zx48enp6c/f/780qVLTk5OCxYsoA5NlEWjkCVX\ndAzSrbdvt569AYBXAyEPYpHUnSL2vv9wspwsJs+aN3jYcJz5Ek+P7jh4QuWB6+LuOXvxcgAQCZAb\nj4vfQMCBQYj4VFaPxqHdgMiYGAA2ze2qqqoABN76h8xZkpedqbHeW2lRIZcj+5gMBiztAMCkGfxm\nwqMbHNwAoMMQmJqpn5uapKt6H4lM1CDqqCR4cu/Wmo/nqEsbFKSO7eqTV999Kk9KERwcXFJSkpyc\nrNhT0YSnPxrzghjBjBkzqO379+83ov/E8uVy+5Tij46GhsYgmoSGw9JS9TXU1NRUvfHtUFVV9fDh\nQ2p39OjRY8aMqeOY27dv79evX2pq6pgxYwYMGADA0tLy1KlTisVI9cTS0rJVq1bk9oQJExISEqKj\no02d27i4e1IdAAxoI717kXnViu1MJtPU1LS1j09cOody22wGsRAm6zf+PGqc1J3C3Nx865/HeVyO\nuYWlxtc7C0sr+Y5IgDfBhrliCHlKzqqNwsilALhsdlF+LpzbxUe/3pvzYtuBk5mpb/Q4WXZPGAx0\nGQGn1lKBo40vnNrY80sqy8sUe3fu1tPc3FxtEDkhWZWP06sAME1Mzc3NtX35zc1rl9KCHt7T3WHq\n1Kk1NTXLPpig0u7l5SXXZwxbhKRn58+f/+WXX5ycnGq9qMoMqfmr7BrEzJkzjxw5EhoaSu4eOXLk\nt99+031KA9G3b9+8vLzY2Nj27ds7O9eiqfoX0YiP2f82pqamBEH8t++tng5hKjQJgUM9vxCTyWys\npENmZkpvqBYWFvUyEyoHQP1+rlatWo0ZMya6gCUQCDSOr9JuZmbWrZWlrbU1wIFYBGDAsFEVWYFv\nTNy3/r7Jgvhz8Ch5TEdyQnzo00AXd88xk6aZmip9VRKiXyvNI+iEYQKHgANBYwscYAAo5QP2UlfQ\n548epL5JuHVZDyO9ohDm4CaVNkjsXSoTk6g9N0/vybPm2Tm2oP4QGskoY4sJAoBYJBYIBNQfUdEk\nUauqIPDWtcBb17IzdNWwdWjRcu3atcHBweqH+Hy+tbX1vE++OP3Xn3Dvgop8FKWWlpba2uqbaZ6a\nITl/lV0joKQNACwWqxETkSUlJe09cqprG48lS5Y4ONR/2phGoREfs/9tTExMJBLJf/7eGmFvbRIC\nh0ZZyTgBqt4RiURNZCY66OFiTT7ce7raqMyW2lVsNzVhAOjTp8/CadeS42OovAsbv1wWGJNBbsdH\nRXwxX1p2NSH69VcblWKDTZTlD/BYKErV15ODAQczVJSU6/npGhQRwwTmVgDAYPgNGbFv66aIUOXF\nmGmCvlPw6opi29ZTN9a/1pKha9wqlGSAXQFuNYD8nKwD238uKSr85OvvdEyDquQiIaRAtmBr/Auq\nk5mavHV97d7NFWWlmzdvXr9egy8tOX56ciL8Z8OlA94E2draent76//9p3qqpAeNyq8xwpOjoqLC\no3Wb3Eyp/DR//vzG+iXGxsaOGjUKwG0gICAgMDCwUabREDT9h9u/Eak/Fn1v1aB9ODSgWJX+3r1a\nFNT/RkwZTAAujnadu/eqqapSPERVVL93/W+q8Y5CfVQSN09v1UHv71W/UG8XGw0GmdjAivR48NlI\nemr43BsKF3evsKDHEaHBMDVTynw6bw+GLEDHIQBGTpi89Kv1FwJDD6Vrl9QZDMzfg7m/k6eQXD51\nRKhTw0E9mqKK2DV8JVFGHx+I4MB7H09TSjfS0tmlTftOGjvfvXu3bdu2K7/ZpNj4x6nL5MbzR/dh\nS3oxM2pqaurrLU2fyBoVzp8/T0kbAHr06FEvMzGCnTvl2Wajo6NLSkoaayY0NP9qaIFDAyoqUyqM\nsL64fv36Bx98MGPGjL///rv23vqhzVdUY6O1GbOFZbOJHVsAGDpmPNU+8f3ZZIwogMzUZPUTKWxs\nm6s2VRaAXaHY0M7Rcs1gjxktq1VjLyh30eom9OAuzJf5JHYYjPEKuTXtnAEwx69qt/LPfh9vmPHR\n0patXFRkAjUYsG2JPpMVc5oxTXT91qj0G/FF7LRywyIyBHz+pq+WqzSWFhWWlRZrO+XW86j4qIih\nY8YvX/PD7hOXHkSnU5WHu/eRJ2b19vauXzu0QTKHihGqEVOQqdgTm4JJpR7Dj2lo3hq0wKEBlQdK\nVlaWtp5GUFBQsGTJkidPnjx+/HjFihXZ2dn1OLie9HSxntG9ZceWlgC82rQ7dfvJ8jXf/7Bj/5ff\ny0uhOrvKEzB06dFbZQQNQZ5CHgL/VGxIDTjz4cAOdiXxOLcGHAU9ikRsZW1dP5+kPpGpYphMWKqK\nUxKmaaqZx47needjigFw2Ho87l07YIg0omHWok8oSY4lEHOEqmunokTGFRmgiU17k7h68SyNh6oq\nNAjKA4aO3H3i0rIZEx/fu/nswd0D239a9dGMX9Z9QSmBW7m4kR4qFpZWJ09qTSZr9IKn7UT1dsUo\nla+//trEpPb08A2EYiae8ePHq8gfNDQ0ekL/cjRgYWGhuKt/ngx9UBFf0tLSFHNyvB18HCx8HOSf\n0c3Te/q8xSp9Js2Y8yTgFrk9ftpMlaN2jo4axmUrr3A8FoDDu7ZOnD7rdsR1avWFRMxhs4H6KxxS\nL5C2H0s79J0Cc2s4+aAkA34zYNKM6iImcC+loowr4uv5w3FqDRNTiEULVkhXLJ5IcuBlQXoF79P+\nrt2c5VKX4p3gilTVJzpW9xP7dibGRNU6kS49e783c/7od6eIxaK0JNX6sY/v3Zy77DMGo31k2POH\nd65j4hoAPD7P0KxfdYTyQyJ33dzcrj+PjgkP8/ZpO8HfSHtKZWXljz/+eObMmUWLFk1c8KmPLcPN\nzc1Q2aVr164vXrw4eeWWi7vn8g/pCnA0NEZCCxwaGDhwoOKuh4dHPQ7etWtXxd36KkWrA+MyL/Xs\nN+DU7SdxkeFtO3Ru20mpnJtEIg7457KGcwpT8Ooq+k0DgJpSZEhTer98/hQOHeXdCGpBbUoCR/8P\nkPQMLbzQwgsA+k4eyI9P9Z9TzFNyQsmrEeQlllH5vmrBu3fb2d98M3VwRuqb9OSkrr36hnPsAlIr\nAHx5N/3djo6f9HO1MGVCOaO5uDbTQU111dOA26ampsPHvRv69KHuzq3bddi464Bn6zYlhQXfrlj4\nMvhJ737+6t1OH9rz+bebK5SieRmhyXnj+9trG5kSg+pe31ibRGVj23zwqHdsbGwAg+0pZIDPzz//\nfObMGQDHjh07duwYABcXlytXrqjk/9VNZWVlUFCQtW1z34FD6CRgNDRGQwscGvD391+9evXZs2cF\nAsGkSZN4PF49WrJtbW1DQkIOHz5MEMTHH3/cFOzB2nDz9NbgHApEhoU+fxig+ZyqAulGfiJKpboc\nsUiE5OfoPByt+wAgC9MvWP7Fo+rmTagWlmVz2LSQx7ta2Ibce9Ci3ydAM52n1YKz7+iTR34Pvnud\n3H132yVAqlu69aZ8mI8dWQyvolS+0ovFuhxEuBzOj18tj3oZCuDEn7utbWzZXC7aD0RRKiry1fub\nm1tUV1YAOLF/18vgJwAiX4Wqd3ty75a5ucVSsooKgwHAzrFFalKCxLczk8mEzgBdQ80rutOPRhew\nPMz4BQUFpExwJb5kbGdTH2sN6dT0uVBeXp5KY2Fh4bJlyx4/fqznIGw2e+HChWQg8ZN7t25euUib\nVGhojIP24dAAj8fbuXNnYWFheXn5yZMnp0+fziZNAPVE+/btt2/fvmPHjk6dNMcRNDVUPFIFAu3V\nO/OTUFMKwIIhXzXLS0sgFoIlM7iI+ADu37yak5HWMPM1kGqZc6W5ldyTAwwA4lq1DbURkl0dnC1b\nj5kmr98ofeSiGqn/bORLuRBw/fxJHTEdcZGvomSdS4sK2awa2LlgwteYrFDnpesomEvtNW/iY76Y\n/35aUgIpdpC0clVIHCIj4J/LdvYOlx6GuXm2BlBVUb559Yoff/zRkI+rBIfNjol4SeZv1Z+nAbc7\ndeo0YsSImTNnpqck/ROV/SDK4O8Jdffs3VqrHzXIDfzFixdU2pLwkGdJSUm6+78FaI9Rmn8ptMCh\ngfR0pdRJr169evq0CQVwNjp9/Ab2GTBI87HSLMQGoDyH9/qumUpuTSo4RcgDUJCbI69Q37jkxkk3\nmKZyDYdLe0zZwGboSg+qLy08pHKMj2++g5JBbWdIbo1ADKAgT67rSU1K0JGY3NZOzcZBztlKVgtm\n2CKMWg4vJaeHV8+f+o+QJ8z9YP7H24+c/e63PYNGKgXTAnB0kuaxhXsXNLP4888/YRR52Vnv+Xf7\nauHMWaP9H96+rqOnyvL505qV5EZwcPDS6eNzszP37dh64cIFADk5OfHx8fqHq9z6+9zlU0fU24cN\nG6bnCADs7e117NLQ0g+N/tAChwbUvTj/20lq9YRScphbWP6098hiH2oLAAAgAElEQVSmXQf6D9b0\n4I4JwJ2dyE8U8JUVIVS9Fb5so4kIHDzpE9O7fUe5wGFlhza+atEkRuE7De5dAMBEVRVPECjjCKv4\n4uZdhyg0MzJStKZXt21up5pggwy+NWkG104A4NQGpmZmIz+WJjQDALh6ek+YNnP6vMWt23YYMf69\ncVNn9u4/cMS4Se7KX/Uzh/bWVFVyyJIxPr5o6T1ixAjDPzCunT2x4N3h1O6Dm1dVOui7SjEYYDDB\nYFy7dm3nzp19+vQZPnz4nDlz9MkOkp2e+vtPGpKtvT9/8Y4dO/S6OgCgb9++VC2khStX169HFw3N\n/xW0wKEBGxubixcvNmsmNd63aNFCpeKroUgkkjt37hw/frygoKD23v8GzM0tBo8eN2XOQg3HOJUo\n1pRdOz0cnCpwq5GfBMDJ2dUYgUMiRkVePYe3yIJrlq5av3TLwfocmcLaAcC4qTPUjxAEYgtZ1dYK\nYcYMdOmpuV6ggM9f8O6I9BQFrT6Difd/AoBmFhg8D969TBzdAQisneAgXRqnz100dMz4R3dvXDl9\nNDMt+fHdG/t/lRpK+g9WkidO7N+15LNVlZayyTSzICNCDXqLzc/JosYnCQ8JUu+mbczlaxRsQwPn\nolUbMBhVHMG2bdvItsDAwJs3b+oxDc0B5598/X1imYC8OpvN1icd5JYtW1JTU2++iJ+zdGWtnWlo\naLRBCxyaSUpKoqpjl5WVxcfH12W0VatWLViwYO3atT169KhL0UuCIJ49e3b58uV6z0VmEJRLR15m\nhgGn5cWjOA0ZESjPAVBSVGBMhfqqIhxfjkoN3pFGkhNL5SvLKCg5HN4wEuGQ+XDyeVijIZb4/LED\n5VUqSy+jnXJYEEVOppokZ2oGK5mSv4Unhn4ktmkh3W3dB0BgTMbytT8wGIzIsBDqpHvXLpEbvfr7\nf/atknBQ2syRss4MnjDV319DSItugh/eV2lZ9tX6bd+u+m7l4vNH/lRc4DW6qkyft/jx48dHjx7d\nc/oKHFzJxjGTpin20V2YhqRzD9X4r+59+h28dAsAIZFw2Ox58+a1bt26VatWipVlFKeUm5u7du3a\nRYsWPXz4MJNjYmllBRoamjpACxyaKSxU8nSjhA8j4PP5586do3b1eTnTxrp166ZPn758+fKOHTu+\nNWWJjoCCTt17GjaWSEDZLwBpuIqBI/Cl41CUZBo8iCLpryDL5p6e2WBJ2OxcMGyx0MJO/cgjgefN\ny+cUW1w8vMwtNJvwXNx16vOt7OHURr478EO07pNWzhNJCADebeSVbmyaN799+RzpRhr18oXSIOby\nP7eKv4huPUdedmZw4L3czIzDu35RbP/utz0P794IvHU97Nmjo3u2B97S5c9B0q1btxEjRmSmpbTr\n3APA8rU/jJ40VbEu/MSJE2sdxM7B8ci1gFYucvfYqsqKvKzM0T18xvRqu3DyKKpqwR9//KFyLil2\nLPpk5fHjx2/evDlr1qxVH83YvHqFDlOXDtTvG+330BDQd7XpQwscmlHMcujp6enr62v0UJRphsTO\nTsOqow88Hu/48ePU7o0bN4yeEoW2hOg6+itud+7Re/3W3X5DRowYN2nR51/Xfn78Q6S/lO8aoeHg\nswEgL0Gaw+P5GYSr+gcYBiGmplHcrIXuvnXCS0vqKteOGZlKueAqK8q0FV6xtrH95c/j/QYN6zNg\nkJOzK6Bct1adaZs+uZmyPTgXwJTZC5zdpIm8WNXVuzd/N21on/ycLKFQa8zR3etXVHRp2sJnnj24\nu+DdEZu+Wv7ReyMV2wcOH7Nl7eepiXIFYeiTB7VaMV5mlEyfNXfXpm9S38QDCLh++fCurRs2bLhx\n48bJkyezsrIoz02BQPDLL7/4+fk5OTlt2LAhKq9acRwPL5/iQrkyLDs9lfJILSsuotqfPHmiPofK\n8rLIsOfUbuzrV88e3FsyfZxx5Qiom2ZETRkamv8MtMChmW7dul28eHHMmDGzZs26ceNGXbL9MJnM\n/fv3k9sTJ058//33jRtHJfq/IfxY9ZE/VDqMmjhly/5jbTp2PrZHD0e8tDBkR8t3RYbrjYpSAeDR\nIZDLZFoYMiKQWweDl0RCaTjiKo0fpi6Y+ShljudxuXGRrzT2LGQJ+g8e/t1ve16/eF5SRKq4avlm\nEgRCc6oD0ypNmzXzbtNe6Zhrp2NX7w4aPYFqaOXqpiLB3L17V5+PcP+GpkRwQFFBrkrLswd3qUzq\n2kiIfh35kjQAMQCk10gunTr63Xff+fv7T5gwwUrBtDFvyYrdu3eTYWUHDhx4fO8mtaITBLF59Qp9\nJt+lS5fKSqW/vUgkenr/tmq/Wb/CvcuKFSuMU1L+J0WN/94nomlQ6Aw2Whk5cuTIkSNr76cHM2bM\naN++fVlZ2ciRI8k0SkZgamr666+/rlu3DsCYMWM++OCDeplbXUgLvf/XybMmJiay5cFAhAZWIiUk\neHrMzMxcIOCDVYbsGFQWQCRAfiI8utZ+ukYkEggMK5ZW7wh8+is3MEqKNOSuKOMKF15L/qIjMyvo\nmrx1sq6q9yQcoSQ8v2Z0W3v/4aPI3F9Suo58Yjeo2tJm5YFrRGZUtz6+7Tt323YnOpAq+sZgWutX\n9YZJlakzNYOtEyqk6bZqqqvUOz++d3POspWt22rN9Sk35ZDST+fhCL964cKFvXv3QiFvmEAgeHTn\nH8UTc7MyACTGRH42dxr0JiEhYdOmTXPnzuVwOAl55c8e3M3NykiMiVTtZ2YJOxfkJTx58mTSpEn6\nj68D3TnQaGj+Y9ACx9tg7dq1pDXknXfeOXbsmJmZMWkTASxatGjKlCnl5eVt2rQxWnAB0NPVRv3V\nhHrwkRsSiSQsrdjKRuvTMC0tbdmyZUbPATBc4BCLQKUdO78WPJbUsFIXH1JCLI/XbSowfNp3VG/9\n9HqSUIwdkdXIJOA7FUlPwSqHU2t9RgxMq+zlYjNpxlyHli03fbkcAHpOQPd3ALzOZ72GycH3ZrZz\ntATg2KoVikvJs9p37T5hwgTto8qZPm9xyJNAWNlh8ncwtcDpz8n2YnMXMIvUw5FM1CKEFWnXqeuw\nsROf3r8t19+YWU2ZMkWlm/rvyHfgUAAn/9ytY3Ab2+asmmqVxrNnz549e1bHWQDIAF0AnTt3rqWn\nAvoXq6Oh+c9Dm1QanNzcXMr3IiAgoI45xBwdHdu1a1cXaUMfnj175uzs/N7A7tvXfMJiaX4y1j3l\noncr7Wndi9MQo5Y9XSagtGzlAl6NvBRL3EMkPjFyEhIxqkuaVBm5gSPHtO/cDUBwVtUfoXJZqpT0\ntTC3Rt/JGLoQA2aDwajVpEIRkc8KDwuVShsALGwUrSdPMqSqiLxsuUOJtU1zKoJUG2lvEpMTYnv4\n+l169BI2LeHaCZa20mP2LnjnC3hLDUb2jlIXmVETp3i2bqNxNBI+jyu1aFAzbGaxevVq9Z4/7fmL\n3HD38t564KSrh5dQIFCPwvX1H0LKIgAoacO2uQHeVCMnvGdlYw0wpny4QNF99S1Qx0TyBg1OUy9E\n5qlKtDQktMDR4KiYq3VXynibqKg0FJk+fTq5ERAQcPToUY2n9+6t5HnQqbthVei2bNmyecP3ch/S\njAil2JOQc3jyFzIilM6RRbioZcsmEH4dEddRVQRDEYvAq0GsaiRnI1LQohtZv76MK0ou48gKx6v1\n6/EOFv8FM31deR5nVJ4IkCdQd3ZVCni5EFty6sTxHRvXpSTJHWKiXkkDWB7fu7lk+rjRPXw+mTHx\n8b2bAERCYUVZ6Y6N65Z9MGHFrPc2r/7UxESqAICFLbqOBoB3voS1A977Fha2ACrLy9y9WgN4ePv6\n4V1bWTXVpw78sWvTN+EhQdfOnvh46tjJA3t8ueCDovy84gJKzJIJHEyTtDR5gnNymQwKCvrh8yUA\n+gwYtOPohVt/n/1gRL/xvh179ZeH8q7a+AuA8NCg8JBnW/YfU/zIGs092nh054alte0XP/y88ptN\nKm7gdUT3kl/vAgEtYdA0IrRJpcHx9PScNWsWmZt55MiRxqVubERKS0s1tru5ud2+ffvw4cMWFhZj\nZi7KSH2zZe3nuocaPm7ixPfnmJiYDOvRzsvLa8Nvf4AnK1JTXYzyXLSSvfhmRICQ4PZvsHfFgJlo\n5w8Ar65oHbokfV7nSSIi/ryguf5rMCDVmrRwsC+rtefbIqOCV8YRWtmZEwTelHJPRBUt7O2Sz9IU\nt9K8lYZG7VTZuoNpAokYLbyq3HurHD117C9UFmDYYsgiSckqwQW52dRfNjUpYcvaz3lczs6N3yie\nGxR4l03ZKUzNTLqNEscHgmkCACamaO4EXg2AvOxMssulE4fTU5LCnz8DcOfqRWqcuMjwrxfPPn7z\nkXRfroJhxMbGTpw48cGDB3sOHTFtZvb911+SLh0AXr94vvvH9ZR7StTL0DlLVgqFgoEjxihmVf/n\n/KlhYyc8vX9Hxy1iMBiaHVo7DCrjiP745ceuGz7v6Wp8zJpGSCFARe6vVTIwwv+DHJM6kX4R/8/T\n1JyEaIHjbbB379758+dzuVx/f//6fT1qIJYtW3bo0CFye+rUqdq69e/fv39/qcPjB3u2qndo37lb\nSmIctTt32eekq6CXqw2AA9t/xrgvpccEXNz+DQsPAoCQB0IibSxOx70/sKI/mEwkPFK9gIwV6zZM\nm7OQkEjOz1uOMYakgxTxAfT2GxiY31Q0TwC4QolATMQWsQEUVAsB/PAws+7DFjh0gUsH5CfCuS3P\nXM2gQDp+KthZWKyaDV8sbW6vavlSkTZIXr8MwQxpBg6xTQtMWi8XH3u9i/t7VPqT0oaGSebl8Hnc\nPWeufj53mlziYGDnzp1RUVEPHz4kG8YF3lM86018rOLuwzvXz9wNAnBXQZoBsGrj1ub2DjcvaXXX\n0Bo+034gzCwxatnJU6emDtMscGiUG2hoaChogeMt0a9fv8aegi5UnpKbN2/28/PLzMwcPXq0ni5y\nGpMZODq1QqJ0u7ffwNZtO+RkpsdGvBT49ezYsSMAqWABQMCRm1R4yu92Ag5Of95uwaZUiRiA78Ch\nKYlxVRXS/BC9+w/cfkS6fjCYTN8WjHAQ+ns2QMDt6z84Ky0Zlm31PaXh4YklcUXsp5lVAEQSCQCe\nqF7KumDt78fcuLnppm57ItR0Op7dYGYptYYAAIoKCopiH+g7tLkN3GWxQnYusHORH+o2GtF3UFMK\nXo0++eytbWy5bDZa94Eb9d1jAKCkDelFHBypr0FVhdLHKczLFQoEzczM3p0xJ+Afacju0DHjbWyb\nT549X4fAoREzc3MBqTZjMLlEIzwzVd5T1z/InN+rVWcnOvMpzb8M2oeDRgNMJnPSpEmfffaZ/g75\nv//+u3rjWIWM1KMmTomJeLnwvVG7flw/YcIEaX/Ko6U8V15O9vlp1YHKcpZ1Ng+Mybgflbrt4Mle\n/QZQR5xcXBU7fvL5V565waqnA0gOBkuT2YRdkZuVkZIQq+FQ40EQ4ImlEgZbKBGKCUJSP26tO14U\nt2zfI6FS06o/dBGc2yqWfDMMhs6HyZxdWHYCYz6tdZgvf9gCwMOrNdw6ySejKREOJW2QuLgpeaVU\nVZYREknn7r3O3w/5/re9R64FkLVsvNu0f2eyPBfOxA8+pLxZSeYv/6JTN3kKXa827Ty8fSgRdsDo\nWpKcKubbMMhhQrFzLUldqwVFLONzH0NLUpC37N5Be7/+H0ILHDSaKS4uDg0NVUmIpIM5c+acvPV4\n8x9/DR4lrXj+8ccfH9m1hdz+ZsuucVM+CLguz9IYGhoKyJKN5sYjJQTcGmnm8qwo9fH/PnkEAJNp\nAuCjlat79x8IoK//4PkrvlTs1rpdh82fLVY9mSDw+iZOfoqMcKX2+IeoLi7Kz9PzMzY4eVKHTYIg\nqBCciHzWD48y2fWk4ZCAseVhWmCapj+rmSVMlQNNdcsQKtSqVGIw0XUU+sqjW49df+A7cAgAeHRF\nlxGwsP1wyQonZ5fRPXzmjB8CM0XRp3aVVWF+bpsO8jq6s8YOGTPI97sVC29fPsfn8zy8pfYdBoOx\n5qfthy7d/vP8jQfR6VUV5ZXlcknUydklKTbq4y/XXQuK3HX84u7jF7PTU9OTkyiJx6eTPOOLDhGh\nQdN8EVD4ftQZfQQd3R+nXj4pLTH8P0CbVP5P0W1pDgwMnD17NrXds6deNVMm+HWL9mo9cMTowvxc\nSyvrtQs/oAq+XDh2YPSkqYpZPZo3bz5kyJAgMsunWAiglbNL8dVN+OAXcDX4silmrPJs3Wb7kbNc\nDkdjPS1PO/NZ3Z0uxJbImyKuIT8RAK7/hBFL0Uv2kkpdyIiqLg1BdQncAeDrJXOcW3eA73yyOTyv\nPp/FiRXaM8o7KNdq0ZZg19wag+fhyVG5UgrQz4zFgFdPxNwjfXVbOrt27NozPCQI3cagy0hUFZ6L\ne4yjS9UHHDhqrLiFJCwsTPfog0a+s2DFqpuXzoSHBKHdAPSZHHZhbVjwEwDhsQnffb+B7MaqqW7l\n5k6GxQYr+4KUFBWWFBW+DH66etO28dNmBj+UxWbLbkVTCKAmCGRWGpjDRueKrudi39Q8EGn+ddAa\nDhoNHDsmDyA8eNDgiu0ubh529g6KcYycmioAMz5aRmomAHz++eeHDh3q1LUbANKuX1yYj9x4nPkS\nErFK2TAAHmqZG3RU7+zpopwfky9L7UUQSnnQKX8CI6q6NARCKucpo3H0Lj3HK+12HgETTT7OVvbo\nOQFzdsHOBZbNpZLBcDXFkkZ8+qLrKHJz14/fnP1rH9w6w7UjANi5wH823GWVchUEmDHvTlWUNnza\nd1zy1Xr1sU8f/GPjl8viIiNg74rRn1JlbwE8dhj+MK0SwPF9O6cM6jl1cK8/f91cXlKs7Vu0c9M3\nHDZboTyhTOBQ7tYodgECxNnoklJOnawqTQpavfF/Ai1w0NSCxJC3f8XcHoqJOsj6F07OLtsOnQwP\nD8/NzR00aJCTk1Pbtu0AleqvGQBqqip7+voplvp01V0oVZkeLtaDvRWiMLg18u3kYCTLnDwISuBo\nGiEqVJAwDHB7bUDcOrm07wrAy0fBo5bBxNSNANDSG4sPYdnJnsu3rdrwC7PDIH2H7TgYVna7jl98\ncu8WAPj0gYO7/OjUjdJ4WoVbcHCHUgXaQSPHxr3WXG4GAI/LgZU9LGzIIr0A0HcKzK23BuUkpWae\nPbyP7Hb17PGdm77hcrTmmd327apZo/0Hjxo3YtykFs5SH9iG1nBoM14oNpJTqOFr/dI2/botVICu\nemPdh6VpstACB40G5s6dS20vWbLEoHMpmaNHD3l91MzMTLLdxMTU29vb3NycbPdwbQUAArbqKIC7\nt8+UD+UpHTv3UM0boQNzE2Z3Z9mba0EykpVTT1JF4yhZqokIHHzZ47KZOfpqjUZ+m/xy+MK+s9f8\nPvm594aLUrOCiSnsqQgUBpgmCVadajqOZmrUhWjEveu355/06EtVkFGWrUzNYGUPwN3bh2orKlDS\n95w5tDf0SSC120umNpNDTpXBQEtvAOg8nHRPObBPybVZxe1UkRZOziGPHwAIfnjP06etl087jZPF\nW1zdFerSAQBXqNebgKFzU/84OkZ4nFFZXjdFi8rlmoKo1OgT+A9DCxw0GpgwYUJkZOS5c+cSExN9\nfY1Mc+ThIddJaEt35uvevHMLi+G9u366bmPbjl0UD/UbNHTk+Pc6de/ZopVzz34DZi78xKCrd2pp\nacEkAKAkQzXOVixTqFCWFCMFjnp+2+3TTXYHek2EWyedfd8SF04fXzln6t9/X4pkWQ77/sSwsRNc\n3L1U+ggJxpGIQpEh7/5X4kvZQvEPO/a379wNFmpuAQwGAPfWPopN5D9devRu10m1UJ9XG/WQZml/\ni1ZeX5x+1qqNtDZNvMsQqkdvv0Hd+mgOVp/64UdlJfKstRkpb6g/te46t2+B/S/zS9hCALX6jVKL\ndz2u4irCweFXBQklTa0UkcHQEsZbg3YapdGMh4eHosRgEKQyY8mSJVFRUbdv3wagsRAGAB8Hi72T\n2gPtAYwYP+nkn7ujX71wdGo18f3ZQ0aP/2XdF0mx0QDKiouunTsxa5EBMkfXVtYTO7a8klgGjlpE\nRrXMn1Qg87wzQuAQCXB/LwbPMzTdpzb6utlIskpAJtnyNkCd06Dcv0VWpmUAKOFL9uzYzxNJ3j0T\nr/usWnlTyr1w4975H1ei4xD0VKsP59ENiU+aNTOXt8h8Nl3cPR7dVaoOf/rO0/yc7BsX5KHUvfr7\nJ7kMJv+0PEvHPyIVvgAuHdDSGxV5PfsO+PH3g2ZmZi1bOackxrft2PnwLnnmusiXIc6u7pRapbef\n/zOZYoNa5BtrlcqrkorLDSr56OkfKgbj56c5V2fb1trz30K9mHUsLQ1Jdvz/BC1w0BgPl8sNDQ1t\n2bKlovWEwtra+sSJEzwez8LCgmrU8RSzd2zxxfc/K7Y8unuD2k5LSjB0esPb2KeF3o96eVn1QPhV\ntPdHq7byOrFGCByVBUh6iv7yjA4oz4WjkSIagIFezeNfNwXHDRUY1P8ImADY8ChLZ399eZRSCkBz\n2o9hi5H4JCP1DRykKh/vtu1dWpm279KtXaeuKgJHy1YuLu6eo9+dGnjrGgC/ISPCIqMxWINLqZR5\nf0Asyq9KMzG3NDVlvj//Y7LZwtJyzxZpGEtmajK50cLJefbHy13dPStzywEzNIEoFQGVkUVLDNFb\nlYQIQiQhKnmGWVX0ydoOLc8K6tz6jZdREbDoeJwGgjap0BhJRUWFl5fXzJkzR40atWHDBm3dFKUN\nQ5kwfRa13VOW7Kunq42ezwJeRlTUsR+luT0UEYsg4EIkIB1Ue/sN1NCnVsiI0Khb0t3yHASdMHgQ\nBZhgLJ4/1648pS6D1Ds9+vrBwhZt/QBUsjgiCZFWzq31LH0ocukDmxYws9ZwzNIWLh1KbeVxSeU9\np2/cc/SjT7/q6z9EpdIsn8/jcbmBUk0MwoIe15I+hMGEqVlJi86X4pSKBLXv0h0AXDvAfzbspdnk\nykqKYsLD1u87ncmmxjRY4gjJqd76LMfQs7RB2XQURZ+Gc33QPSw5Ba5A1z1p4gYLxSxtTXyq/wFo\ngYPGSG7elL9oHjhwgKPd25/C0JeGT77+ftbi5f7DRn26buPE6bMMHSEqLFTrMSEPkbdQnN6hS3d3\nr9ZU4XsDIENtYwKkD/7b25H2ErEBuk/SgYkJw9nNfZBf/9q7vkVMTE3g0ZVMMV5g4bb/ZlB9Oq5M\n+R5DP9J0gAG3TgJTuahawxf/9N2ayvIySyurn/ceodrHTJpKmFunvVHWfumXrywkp1oxX2dleZlD\ni5boOxX+s7HoIKZtgqm5vWOLZw/uwskHJlJlMEEYrIWq5IqSSjlVPKkW7euADM2J1/SDkjPqMfeX\nQSjFyxAAQDAaZCaG1tEt477tOOGGqOVrXJpabaPVeUb1DG1SoTESExMTxV0ms/6FVytr64+/WGv0\n6d5t22k9Fv8I3CoAF86cfOedd2Dro7WnNijXEFYZLG3BqgCU428NxIQBAExm07CqFCTDtQMAW3tH\nxVQcjyuseMz6S5LWSkv9GgbDbvgcleLxoc+fH92zffWmbe7ePpefhIc8CbR3cHTvNXjO30mDXNUK\n0elBShk3NKd6SucWAPg87g+ffQyTZrJSwwy07oPxqwaYpt279jcUvEkMXVozKni7Q/MJgjgaUfDV\nIA8AiSWcqAKWn4etrblJraerI5czGj5At9ZD5GR0mJlU6tM23JSuJZQdfJV/Y46qQ3Hdr6V75rTx\nxSBoDQeNkUyePHn48OHk9tq1a+tiOmkgRox/b/bHKwC0cnFVKbmC5GDkxAKwtbUtKSlBdZHGEbQi\nEsgLvlxYiz0zSPEFqaGoLjZutrf/Pvvnr5vLSwycSQNRkUv+y+fz23eWP8RZMBfVU1UX3VRBze2u\nmXl5ifTe2ju2mDBt5sARY0QSBkcoeZzL91xzHpO/kzrbDp6n51UuxJbkVQsAlBYXA8CAGWjdR364\n/cBl3/w0fe4ixVhYAoRBuvcKrog0gpRxxQC+upsuEEsAFBtbDIV4S/KGfhDU/2rBuLdt/VOgno0p\nFhOo4DWNDH71RBNUUdQRWuCgMRIbG5tz587dvXv31atXa9asectXJ98qdPtzMBiMxZ+vCYzJOHc/\npKSwQGMfOzu79957D6VZqmVWdCMWoUomGdSUyh+5hSnIjjZgHAUSIl9dPXs88kWIcafXM0KpU0t+\nTlaK4e66DQKD0aVXHyg4MYgkxG/Pc8iNHLE12vq1nPfLsl+PotMwPYcs5QjflHIAuHp49PYbBFNz\nlQ4Ew2T52h9GjH+XakkvN8z6Ri3GBSx+brWggicNH/42MNOgcRSmRCVZb2SRQ0zIaj3rNxFSUGug\nRVQsIQAIxfV/T3TUl6n3azXWVd4atMBBYzzNmjXz9fVt3br127mcNtlCH5XmhGkzqe3m9g4A/IeN\n2n/uHwaDIa1bq5jtVJGi1N41kVbNlH8pOpxMn59BwB4kPKp1SqpIxAC4nKbxfOFLU7HlZKY3jaSn\nGDNp+uzFy++nVky7kHgloRQAVyhJU17+SznCM+UuWgbQzLagnMOHD78Merr25x0duqgGW8UVcwBY\nWMvDPk9EFhm0qlFSQXYlf9mNlIIa6desjCvMrjTcVRny1d1wZ5J6ZndIHpntVFu69/ot6qa7vC05\nB90ymNEFcg3yJhETxImIfH2G1TaOEbV8/y1yCe3DQfNvxSDT6Sdff2/T3C4nI62Hr9/78xYzZB4n\nBEGsXLmS3JJ2JV/bKMfDqqL3B3aMtnQMSKmoFkikr5U87T9vdgXiAxEfCAc3uBqSvIsUYogmUUau\nhbWZtIJq3ylIft64kyEZOGIsk2lSzBbW8MW5VQJoecVnCw2LcJYQuHT1+qX8xBmrNsJzMEqVYnD2\nv8wf6NVcLFIakysQNbPUN61qTpVcquArl/z99HaqvYVpT4kIVWYAACAASURBVBfrJb6udnr7c6j7\ncOi/wOdU8QtYgv7u9ZM2gxKeGlrTos9qKiG9SRpsLupxs9p6sviSv17mTuvaytdFVWFm9KX17Nb0\nvUlogeNt8OLFi7t373p5ec2dO5fK6k0DoKerTb3I5rWOY2Vjs1Sh3JdIKAy8fb2yvIwzctCdO3eU\nukbfhVgoraJOSJZ3t/YbMsIPWNTH5UVOzabHWQDe6+5aNGREWNBjHVd0en22ZOJPBnwG0orRNJKs\nl0U+gucANG+Ftn7w1JBk5e3j4uEhEomy0lKA5kKRCArGhboydiVOfhaWU5PFUI34LanmfLtiYVmf\nmTCVV3tJTk3x7d4FelDGFe5/qfVllyuUcIWCghqBq435nJ5OqpfmiM5GFw32tvN1U1pFKInUCItK\nZAHrWmKZx2gzN1tzAGE5VRwuf4CnkfKHQKbpUVzm3/Krtvxy+nmTNFAaD0XEEgkAjqD+f8ja0pP8\nW9QboAWOt0BYWNikSZPI7aioqL179zbufJo+1C+q4X5IW79d9TTgNoAjVG0N6kEukSD2ASlwmJma\nTp8t9UA0ZTIGeTWf2MHxUUbl52N7Y+yxtKSEZTOkle4XrFgVG/HydZhcGTBz2tSLrLKSZi1Ur50T\nCyYT7qru9K4urQpyAHHT8HqrLkFqGPpMAiAL3Ghk4qNen7p+IlTQCv6zQ19F1PRteTnJ+JggJRw9\nYe1gYqpBxyCRSF4GP4F1T3SVCxwMvavGcIV6CQW33pQO8LRt66jkdr33RV5IdvWtN+VutuZbx7R2\nb24GQEIQYpmgcSWhbGFfw+xHBJBTxb8YW7pqoDuAr28nE8CND7tYNjPKtk6obch4+0sglQ1NW4d6\nLxSnMhr11FofmAmZxuUto67kaGolhWkfjgbn3r171PaFCxca3dWraaLR/VP/HF9UZ336c9hsUtpQ\nQiz7ZYoFkEi3rZUfxAwGPhvgtn6IJwCCIF4GP+nrP9hvyIgj1wI++nTV5j8OKXZ+/eJ5yZXfNFw+\n/BqubHR4cw/caqXrV5cDCgVsGxFCAj7b3NysseehRHZ6eujTh+R2lWO7s09j/0ks1X2K/jRb8EeR\n91ANBxgmGDwfnYcrttnY2at35Ikkt96UP81UCubV88dewhFFF6muf2KZAJxfw//0Vio50oW4kuQy\nqRrmZV61xJCHSUYF76/wQgA1fBGAQpZAQhAEQRhdDIVSbDSFR5o0I0hjTyW6gJVbrcUb7K1TzhHO\nv/JGIG4SVloSWuBocFQqkjDqSw/8fwMVkFJfA1pYKr1K+vn5AQq2DAEHfOkzvYWV6rusKZMx0Ks5\ngPs3rhzdsz0iNDgs6PGJ/bsBNLd3OHTp9phJ096Z/P7hy3dDHj9AcToZfCunPAfFaRAJKm7/ibBL\n8vbs6OLkaAAQGyVwCLj16fyREwdC4jdEc729xqJT9x6wd0WXkeRuOWFWj/G5QvPmbI3aCBNT9H8f\nTCXlx+0rF9U7ZlTyfg/N2x+WH5hWGZZbXcE1TFN14GVBeoXcATaykJVeIbfvsARigUQCoFBhMSMI\nhOXU6P+mXsgS8kQSANlVgtxqwdqATLL91+Bcg6Yqn4BswyC5p4EgFP5P0TjZV4lacpMYMaZxJ4ok\nEIiJan4TeIeRQQscDc68efNmzpSGSKi6C9DoR/0aXJlMkx927Ce3Z86c+ffff+/evdudkgt5bHCr\nkP4SwLdDPbUN8iYuhtoODpQqsdp26rJuy841P21v06FTv0HDIOIj+q7SaUnPwK6QbscEIDdOup2f\nSEoM3XoZVbYtLlA+bN1JegpAwDc8+2pDIJCuu97tOvrN+AR2zuTuo2JTnqhxXt04LA2mHFLeK+eK\ntgXlfBeYtfFxVhFLePBVoZ5jEgSCsuTakaDMarIkLEVWBR+AUFnIMugOUAqJzEre/rB8lsy7tpon\nKmQZ81JOran7X2qOOX+rSDUcmg/Wb7yMbiRSbxKtEgcVHqz4X31NQ/GopLa0bG8fWuBocMzMzPbt\n21dSUlJSUtKvn+Zy2DRvmWFjJ9yPSr39KnHfvn2WlpZz587tP3AwAHCqkBMDwDrhHoPB8LDTalbo\n3KO34mjqHT75+rue/QYgJxYFSfJWgYL6WsQHR7bGyPQrvn6DDP4wPBaSg1CcIdsncH9PnXxBJGIA\n2WlNo6pL4hPyXwIYOm5So05FytCxUseds9ElwVlVAMQEcS5WKeFbQjFnV0huWG61hvO1cDqqWB73\nobZI/KZJD2FY1gmFzq/yaqplObJEEmLV3fRfnuacjSmuMcTVkRovo8Jg2fRlXs2RiEIq3TuAmjq8\niJ+PKRbI1nmKhlBv6BAOVA41dC1f/Ts3JXmDFjhomhL1osnQka5D8RCTadK/dUtq15QMlC1MRnku\nAHZa9Kf9XZna7V+j353yydff+Q0ZMWH6rJXrf1Tv4N22vad3G3CrkK6QUoytXESDyuchEbds5fLz\n3qPNrQ1P2FpViPwk3Nom3c2JQ1wgEh4aPA4FIQEg4NVPkba6wi4n/40pZDeRd7XW7ToCCMutuZpQ\nEl/CBVDJE73IUVV7ROQbvOAlU0G5atVJKnhCqC8ehtwRHV1L2MJHGZXHXxfdSy7X2GHPi/zn2dUq\nV6N2RRKCdBTQfyHMquBdiC05F1NMjrM7JG/OlSSjTTOv8likIeNsjGqi3rdfkk2jH8nb96KNLmD9\nFVGobT6NBS1w0DQ+9R6iptH/VPcpVqZMQK5pWL76G7LKhjYYDMb78z/esv/YVxu3OrRoqbHPrcvn\nAKAwWVocLvWFak6LwhTpFSXi0uLC0KeBpoThmglSmSEWSod6sA8AOAa8W6siEQOwad7c+BHqkYwI\nq8pMAMfC80SiJuFyT2rL44s4VXyxWEwAkNRTEq6tQTkiCfEko+peipqBTJPJQP+lpJon+j00r9Zu\nZ6LlTqkUB14WBKRUbHyUNfdK0rMs+fdKsWYbR2iYeYsAA0A1XwRAKCFuJ5dzBJL4YiNlXCr5SkQ+\n27gR6hHZR2t8z4nQ7GrQGg4aGh00RHy84pjaxne2aQbAf8iwb7f9fuDizelzF9X9ut379geArCgk\nPgWAijxV186o2yjLBqR5Tm9fPh/+9IHBlyHNNASB1/+gLEfqzBF1C9kxus/TCiEB4Ond2sjT65WW\nDvac4lwAIjDPnTjW2NMBKP9EBgBkVvFqBOL6UqCLJER2Fb+QJVBPZiohwFMrY6PtqhKC4AiUvmml\nXJE+fqxsoTg8X1VVk17B44slAIpYwl+DcjReXmKIB28VTxycXQUgq4pfwhamlEntjL8F5+g8TyvU\n7eeJGn+ZJ+fyY2B6g15Fd2m96AIWQUgTpTQlBQedh4Pm/w+NWcLGtnMIzq52sDAdOXCyQaOVlRSZ\nNjNz1KTkyM/Okm7lxMDOGXnxGs4nw3FlrpGFsaHM/r0M0y1TaU+fncCzE9JtdgVKMuBlVM4uicTL\np613m3ZB0UYWoqtHXNzdS2V3o9jWu3EnI4MBmab6dT7rRU5NPZb4XX033VEtNgpAjUD8XWCmSEXD\noUnkqOCKdoXksgWSLaNbUwk29I9hOhZR5OfeXDEpiOI1+CIJQYDBQBVPrKTVMCT4LrqInVDMAZBc\nyn2UUXklXhreXMUX8UQSC1ODX4OpGYoJCMSEmUnjRgISAFgCzeJdPdpWahuKUPqnaUBrOGhopLSy\nbube3IA8sARB7Nz0zcxRA6YP7XNs7w6Vo2xWTRlV+vVNEK5sUHLmoCBruMhqzBbHh6lklqwFkQBx\n9zUe6SvJXNqav26Ip6HPXxMm8/Pvf24i4dvduneX73h0a7yJyFGJe6ziiXY8NzKyVJ0agTirUrMP\nZnQhO76odpNBdhU/NKcmpoi95J+UZTdTTkcV88USQs0pRAc3ksqoT3cprjRO+aLrH2QAOBcjd3EF\nEFfI1n8pJRTUIaeiiqtk7qscgeS7wMyoAlZ2Jd8gzwPFzmIDo6WjC9nfP8x8mC51ruIKJTfflBk0\ngvJMpF8MxUyjjZIJVJ6VrSmpOGiBg+a/CWU60d9Gs9LPbUY3zd4YGol9/eruVWlKhtMH9xQVKNnI\nTU31Ux9mRePebio+trK8zLCVns/WZjqxbGY6Y7jvmLb23w71MmREiHmsrxfPvnPlgkFnNRDTZ85x\n89AanNwoyFI+SJ/jjzIq1Wwdb2smssvGFLGpevdUjstCliCtjHcyquifxPLthohEt5PLi2VBudlV\nqpYcMrFVGVfJn8agIiYqKhNF81F0IfvrgIxF15MD06vUzgOAOykVmoreyX8zhv4l4orZL3Jq4oo4\nACQEcTiiYO+LAoGxVWer+FLhSShRXejfsvuqgsDx1q5ZO7TAQdPINFxRA4MSlRoBl630+FBJz2Bu\nYTlr4Se1jxJ2EQnymiw2ze20pmfms5H5WrXYilirH2Xwo4D05CQAvu42jpYapJ9BXs2/G+ap4ZCQ\nD6Cs0JiKl/XO3h+/8Woa3iQUIdnVyaXcO8lSv87kUm5jPdOpZf5aQtmDNOk7emyhaubQw+EFaWWG\nRa7eT5V+OnVRSqwpsZVBd0CftN9/RRQq1r0jKeUIT0QWLbqe/P3DzGBF91WlmRj2xyC7V/BEIgnB\nFkpuJpVLCGJtgJEeGNsUfFwarpKcPsiLUTbiJNSgBQ6a/0fqRRCZO2n0kCFDyO2Bw0d7t+2g0uHj\nVesOXrrdsXtP/cccOWEyQ5v2uywHVzch6SmEPLlNXkfdWqAgNxuAhSlz7WANSoJJnVqM8LE/90Gn\nqV2U43FEPADSyBpDSXqmkrK9Tgi4z+798+KJ4Y60DUHSM1TkAbiSUJpcxmU1QHUuQyEIBoASjqiQ\nJeDJ/DpPRamGhhrBmegikYRgC8XlXDWJVipwKH1L9V/VJAQRpUfAcDlHGFWo2u2XpznlHCGAFzk1\nO0PkOhvFpZ3cMsC+QwBAcFZVYFplBUeqn8hnGRkPVcaRu24YIYbWo+TapBQbFLTAQdOkKSoqio2N\nFQjqvzxBHWWOnq42VlZWp0+fXrdl5w879v/4+yEmU8OvqV2nLr18/TWOYGOrGndqa2u7bcM3Wi0q\nvBoAuPc7Dn2E459AIoZEjMTH2roD6Nbbl9zo2NKynaOSewqDgRaWpgBMmYyP+7p0dbaWHyPTkRkn\ncFQXI+GRfDfiH90iUS2khQGApGkUtHt1GeV5AFgCibiJPM4ZAPBPYmlKGTeuiFXJE9WXcUdMIKqA\nfS2hLDxP9c9XwROfjykmVPRwWm5IThVfJUNJajnvjnrQryb2vMjPU65LIlK4CkcgDpcJLooXjy0w\nwJsksYRzXpaxLamU88WdNHK7mie6HG9MpR6hQuESQ/8SEoLYHZr7T5LUg4QtFGuIjtYbQm2jKUAL\nHDRNl1OnTnXr1m3kyJGzZs0qL9eckqhxsba2/nrp/GFjJ/h6O/Zy01Dm+2Xwkwc3r2g8t6WzaqnP\n3377jcvlpsTLfDIkYoSel26LRXghc6oQcFBZiAvrUFnQPO3ZgGEjnV3dFceZvXj5BwuWnLj5yM7B\nkWyxNTcZ562UUqyfaYmPg7TF3IRpZy4rF5ISCnbF4FHvdO9quIcmn4OsSHmNGAEXT4+SSeKNJCMC\nMLa+TL0jkUCaK5poLKcNFciFloyhjS3iRBawtFdLNZhtQTmRmlZukYR4nc9WDdDVdN0qvvjY66Jd\nIblPMqoyK6Wxtfo7dRIEVPw3FQULMYETrwtl7QoaDkPcY3OrBZS7xq035VSiVZGEuBRfuiskd//L\nfEXfWH3mrLBt2JfkQlzJneSKvCrp5RKKOX+8yItUU/PoO5OmVFqPghY4aJouq1evJjeCgoLOnDnT\nuJNRREcyU8Xd6sqKb1csLC8t0dh59aZffQdKK5R6t+3w6NEjLy+vhQsXlhbIdMWRt5AaKt0WC1Co\nnGu8MBknV/oPG/Xz3qNjJ0+nmvsPHr74i7XLVn/r4e2j2H1kR7fmNXK31k5tlUJMrRgyHXJBknfb\n9ktWrR/QxcdgJUdpJnJi5RafkLMAUFmHQhsSMQBHR0fjR6hHJGJXd2nBHYPSTjQcKvEyLIGYSlhe\ndyp5ouhCzUExkYWs59kqdXE1dHtTygnKqirnin5+mr3kn5QPLyVlVfIMWv8ux5dWyj7R4fCCROXC\ntqRVK62cx1JIOmLQ+DpkgnKO8E5yxbWEsgOvCria0pqtuJm6JiAjspBFpR0DlPyvYrTcPW3wBASA\nV/k1OVX8Kr7428BMoZg4EGbsz0fuw9EkvqsktMBB00SRSJR+5A1hVakvtMkfBbm6Ehnxedwffz+4\nbsvOT7/ZuGXf0YCAgIkTJ8bExMjdQgmxNGgWUkdOFfyHjlj8xVoA0+ctHjBMWkZ1ztKVGi/X3ML0\nXX95iKl1M6UKqA6ZIVJLikSclZbi5uEZFXAZRak65q8BcuZiEV5eAYD4QAAI+xv5iYaNQ0GIAXBr\n6s8ppA58uvb7Dp26kNvPs5vElPaH5UPhnT63SrD6XsPmm6JQdRqVrbSX40vfyBK0K7/uo4ov3vI0\n5+dn2QZd6FqCVMlRwlaVpcjx/44vqVQQswxaXfWRG0Oyq2OLVUWHYpYwv0YQWcBacy/ji9vye04o\nqHoMVS2Qp+ZU8aMKWSKJNBcPSyjmG1WksFSW543WcNDQ1A6TyVy7di21S1XcbeIoCh/ebdvp6Hn9\nwilzC8us9NT9236cO37Ir7/+Kj1AuSyIxagpldZb4atqVjftPvjT3iOOLZ0A2Ng2/3nv0Zsv4gNj\nMrr26qvtioN9HM2FLACoLj7w1dzSYnktUwcGD7xqQJ7c/dXzpwY/q4Sy1NTPT+PyD+CTKVAlpOuD\nMUjEAMzNTGrt+BYQ8LimsgxfccWqkSCNQmo5DworypWEUqPjOeuKbBKRBSzK7UP965NewSs20B/z\nUnwJOY56bAtbKEkr57FVvHcNDFLRp9P+F/kqudt/fJJFeQ3n1/CpjO+KKfsIA0NhKXXLm1LuH6HS\nGLFillCfnPTqUNX+mpK8QQscNE2YNWvWPHjw4MSJEykpKZ6ejZOMwYjYWuoUC0uro9fuj5vywZDR\n49t17urZuk3LVs5UNyaDkZeddeHoAdXzKZcFEQ8iAW5tB4CoOyq9blw8XVWp5FNmaWWle2LOTC4/\nOQwAEp+iIu/FU7l359j3plM1WZZ+tZ7BZOoQXLTCV1iGs6Pl24H7cX8vnp0w2EYjkQDw8TIsj0gD\n8dfOLcym8fR2tDTt7GQFWQ2RpvAKKw/CJBBbxGILxTV88R+h9ZAPTSgmXhewMip4uWpRspU80YXY\nElVvEi23I7GU8yhdqXRiBVd0ST/P0LwagYp1SdF9VSAmriRoGMcgW0ZcMed6olSXcy+lIkRBhRaW\nx/otOHdbUI56nDCFei58MpwHTcb8R0ILHDRNml69ek2cONHe3r6hL6RbqjBO7ADg3bb915t/a9Oh\nU2pifE5memmxPGTx/fkfs1maNPOUhoPMdy5gQyRA1G2VXq9fPD994HeDpmRpZY2UEBSnk34V9o7y\naFh7xxbdu3YBsPKrNTM+Wnr+yJ/xUREGZlcQI0dL9RaJGHEPEH4V138yaMIgJO9+8OHwkSMNO6uB\nEPFJE0+jY2tuamNmAkAkQVQBqy6xDPVFdBEbQEQ+K6WcG57Pii5kl3KEJZz6cSj5IzT/SkJpWrkG\nabWKLyKUHVYJLYnzogvYvwXnHgovfJVXk1bOIwhkV/E15RDTzI+Ps5QWdeVfBk/mxqEkZBjy68ms\n4PG0mE6qeaL7qRWBaZXfP8ykxAhFFl9PmX4h4UJsiaLijfJrbkLiBi1w0NDoj9GZxNLeJCju7jp+\n8VpQZJeefdp27Nx/8HCy0c/Pz9vbG1DQE5Bl2AqScX+vxmGLCwzLzWVmbj60rRPOfEl6V2QkJyke\nndnd2d/Ttm87TwBRr14AMOxhVVOKuMBa+uQnISdWQ3tRKs6sQlaUSvP2wye/2rjV2V5D+E/tlGRI\ny9rVEyNGv2NhZkDm+4bD087MRFYjJV0W/dG4kIXmn2dXkyXiavj1adrJr+FrE6qSS7lJJcoOFpou\nHJ7HOhJRKJIQf8eVrH+QuexGSnh+jUFRJCIJ8SJX+npwJaE0t0rJpUxjli2D7oA+c8mrFoRrSmFS\nxBJwhJIjEYVbn2XL3VlkIzYFBRgFLXDQ0CihKFVoFC/0lzmonlQ+DACTZ83v0be/rZ09ABMT0027\nD3677fd1W3Z27tw5KysLALiVAFCYLAsKFSLpqcbx/YYa9uofFHj32QO5aeaksoJkgKftT6Nae9qZ\nA8jPTAW0l/yqLsbFb1Cm7BIr0sOrVyzEK01Bws/PoDgNVzbg2mYToVxKyE1JBNDfy87Fxqz2wVXI\njkHwaflucbrUK9Y4JOLP1/1g2iScSfBRb2fSm4Sq3NHosIUSKHgwvLWJsQTiKuVC8FSKlIfplfk1\nUgUGV62K7HeBWbtDDPONoHwpogvZKkJeAUvwIK3ydT5LMR2cYfEy+skn25/nVioHIm0PzqWkuyKW\nkPpQlBtvk4pSoavF0tA0ONPmLhSLxXGvX7Vu33Hr92utraVZtqILWGbm5iMnTO7pauPk5CTtHX0X\nnYajslCbx0Nf/yFunl69+vkPHTvBoGmEhwQp7voOHKKtZ0FBAaA9AUZVEfIScH0zOgyGqRn8ZwOy\nvGS1khuHlBC0H6jUSLnEZoSL85Ph3Yvc+2Pjmt7HjnXp0cvewsTgfAQCDlJCMHIZAIgEOPMlJnyN\nTkMNHEUGr+bsX3tNBi8w8vR6pZkJ00TmvtpELPQ8ZW+Sk1FFRhR9rRe2PM3eOa4NgLspFRkVvI/7\nukBh9aWQEESeIQk2ALAFkhK20Mm6mfoKzhVKwnKreSIJR1B74q8SjogrEHvZK2nL9PwrEgQux5eS\nH4okoYSjqKoplwWnSBROaTrQGg4amgaEVHIwmSYzFy77ae+RxZ+voaQNFebOnSvdEosg4GhLr9m1\nd9/Nfxz64vufh70zkWFgRVeVjCA9fAdo69mvXz9AOcWnYogsaaqoKsKrKwg9j8eHwa3Gq6t6TUIk\nQPJzpZaSdJQpeBcqCi589ncrF0W9DOXzDPQ2FYtQmAI+W6qk4VQCQEa4kelTAbwJvnzqaNzLoNp7\nNjwmDJjK/vSnY4obcSbmJkxXWzPI4kupl+kStlCHh2ODUsGjwkGJC7ElCcUcAFU8I1OVKyKSED8/\nzUks4WiUVPgiiUqIkLbY6YdpFctvpl6KKy3nikj5IK9acC5ac7YedS7G6YxFkmcYpX04aGj+JTRQ\n1TeVYRV3N2zYMJLyjhQLlSI+FJixYIm5haVxVxfwlZZbG1vNvhE9XW0WLVoEQKlQ3BvZWisRIyVU\n6YSYANz4xYCMosnPkfhEvhv7QMnZIuIf6WdnlYNdkZedtXTGuxkpSTCIvHhkhEMkwNNjAHDpWwBI\nfIJSw5JAyMmOBpAUHmLk6fUKEwwqQFfxlfrtY9mM6WZrBmpVawKLG1dA+W8CQAlbmFst2POifioR\nppZztzzNyarUILbm1QhK2EpizY0kDWXuBWIip4rPF0sOhxfMupQ081JiRD4rr4Zfpl6zRgsEQVDG\nnXKOUMXVNLuK/zSzCk3iT6EBWuCgoWkSODg4fPHFF9Kd4nSUa04a5uHdRr1Rxe9Em7Q0cORYxd1R\nE6dom0xRURGgoOEoSkVuvHSbx1KqlgJALESekldsLRASa76CD6CAq3S0MFlqYQm7qCDxGPj8pE6M\nuedSEoNqmRqg8I1WxxTdEGIAvl10JVZ5a5iYwKRpPLktTJlS0UeaKqP+MqsbC/n2H1PIzq0WAJCA\nYAnqrfQNXyQpZGk2xGRX8lWUOlyhBovk8+yqAHklXoIg8M2DzNtvDKvbEJoj1Z38/iJfRcphC8Uv\nc2v+196ZxzdVZQ/8vCXby9Y13Te6gi2lgAXK1hZlGZBhBxcWBWSVEVRQtmF0BEQZZwBlxIURAREH\nRcBB+IFFFhEchlUFUShLkaUs3dI2TZvfHy+5eU3SNEmTvljO9+Pn4+O+d9877+Y29+TcswBWi0UQ\n/0e4VHvLyOH6fXJycnQ6HQDAofVwcidpb5WSxh9Mem5uXGJyQ/dv9EEDhz+e13cAf/zi4jeVqgaj\nP27fvg0gWLYLj8PtyzRfBrbWCylfKw59oi63/Oi0ry5bW1Pv6eD+tyZJzGo0lH62xNpe8C4c/hj+\n+3lDBqQGqasDgHlTxsUHiB+oQgMlZ/zCf1UhMXuTmMD0fVFZwcV7jXbxNXxY7J5f7/IRpGdvVYrl\n5lJlND/3tQNXVh/9jU8Yah9RZDKZ3E1cW1lTxydgdZiEtKq27r/Xyistp/zKh6OZnEb1ev2SJUuM\nRiPHcbNnz5bJxP+jRZBmpqGYF2EuwpdeemnmzJnCCx7s2nPJ6n95RQCKpuctWzlvmeMgWyHJyckA\nloUfICc3f8TTA6+r4pce+k1qcknjiE9Myczu/MXH6wCAlUiMNfUtxtV6jUlfBgCndkHhMdvOvM2j\nnsLhZgIMgzVUUl9RP2zyu08AAM7uhyfedNzXaADWLiimrlapUqu1ARTl6l6772BpSiEV35YAAGoZ\nw1oMHL/crvQsCbd34T0oayxKxpYfi39rwCbha4hd5Wqp4adb93JiNZnhSq+s/sY60+5f73aP15Qb\nHP1dmODjUzer/VLhaCYLR0FBQWZm5pIlSxITE/fv3988D0UQP8FFI8fSpUtttA1dRNTcpW5k93Ld\n2uEcc551ixkgNe2B9KyOCpmUoaBbTCP5THnKy0svWPJ82GobAABQtOVv8Ns5uHHewTfi2f1gqpNC\nXXb33P79+wO4XzD2TmM5Lm9dhNO7HLTXVMF7E+DIp+YkKARTXUV52f7/2+nBOt8vJWhOd2ueXLWM\nUTUtWbuMpdVSvwgw7BKtZhkaAGrr4PQNMdO9y1maj+i2N4Z9K1bhm/q7GnxaWNtE7J7yy52qMVvO\nkbI1QvZfKjlzw6pk+1VYbDMpHElJSbm5uQCgVqslQywGgwAAIABJREFUEknzPBRB3MJHjqIucurU\nqeXLl9s03vytqMrdAA0LHqcpO3r0aFFREQCQxBVyCQUACYGy9DDl3MFdh45+Sq3VOr9J8Y3rp485\ndiMNDtXl/+GPcOcqfDoPzvyfgyuObYXbVwzFV44e2Jeenr5mzZqwsDAHl/FcOQ1V9UNm71xpPGTG\nVAfnDjpo37YY9Pfg0Eew/tl6iUbqagHg5PffuRkYBACglTEZYWYtjaWphXmxD0Z5lMoMAABoipIy\nVHqYUuYHfhzd47VShgKAOpPpaJFrcdG+Qc7SYSoJWPQNf1hjSSyuuQqMCQrvVb911DvuqyaTqaFY\nFZMJ6uVE9YexsNBManJqaioAHD169NChQwsXLgSAq1evrlu3DgC6du3aqVMnW7FYVqUS89u/pcIw\njFwuR53P69A0TVGUk4HtmtzgfOZP3bvneP87MipaInWW9sr5X0rXZNXxIvd+4amCLSnPT+yAzH6g\nDdMqFRzHJXHc6iGB//vu0JaPPmio75K31xqNNQtmPO3k/mptwLkzJwHq5QqTK7iqSsFP5HXP8P8/\nfvx4YGAgZQp0fK/iS7BtMcS3h55PQU0VBEYBAFQ7+NnngMun4NhW6FDfc9YgSPNaegOCLZYJowEA\nwiKjfqTdXuYDlLKoIA1L08a6Oq2c7dpKp1Yojl8vv1fpSeZvOUtzHNc+lgtVXb1a4mmUr5dQcgot\n5xf74wxDS1n+r4/iOI7xCx8XiuM4Q62p1kQBwBfn7o5pH9n8y7+C43yxmLqVp5XQTAqHyWT69NNP\nr169On/+fI7jAEAqlUZFRQGARqOptbOXMgxj34g0HZPJVFdXh2PrdUwmE03THgzs1q1bN23aFB4e\nPmnSJPuzS1d/SDv9W8iKcvDnY4O7UqW3adOlS5fDhw+D0SAx1dQABMqsr3b8aIOhocPGjO/Wqw8A\n9Bsycudnn9ic7darT3VV5feH9hf+8rN933rahoBz587t3r0bBr4ESRHmJlMdUJZVX38Pqivg3AE4\ndxBoGvKfhrb9oNI2oyjNMHUOBsEEF76HjD4gFYQZCz1YT++GmLZmf46aKgC4fOEXKrRXQ6/fEGFK\nKUuZ5ucnLNrza9e4gNra2gd0XKhS6pnCoZWz5s/CH366mkxKifiGFgCQ0hRLmwDABKba2to6Pxgc\nE0Btbe3qw1d+ua0HgGNFpV1iG7EL+gKj0eiLL3y/VjgOHz5cXl4+c+ZMkqpIp9ONHWtO21dcbFtq\nj6bpykrXfqYg7iCVSg0GQ3W1ODl5WjAsyzIM4+7AHjlyhOT7unDhwunTpzdt2iSVStvmD+RznwOA\n8J78FonQydSVP5O0IAnpZaypWb9m5c8/nI5PShkz5U9yhQOHjOpqydatWw8ePHj+VvnaOxGchM3U\nyYkYcUmpNtcvXP52px55tTVGTqXiL5v03NzKiop9u3aQax4aMPjFxX+7fOGX7w893JCciamtfz33\nk02jOd270IH08CbIecx8bN1MMUFdLRzeBHev2SYWA3CkbQAAwJXT8NM+yOxn/uexrXDvuvXsL9+B\nQS9UOCr1FZSb37NZ4apu0Vx1dXWbIEmrQPmMTuH8EHWJVl+4rfeg4khevNbyWYi/ptbWGB4IkbM0\nZRQ74amMAd59tbbO9NXZG0euiOS3IcBkqquurr5eZrVCrTrsONbdp5TrqyorfWLS9sBw0kzK6cmT\nJ0+cOPHiiy/OmTMHnUYRhOfwYWsGra+//loqlUokksLCwh9O/M9HT9z43tvr31l59OC+zf9a88V7\nf2/Iz4Om6R49enTM6SFl6Ai1hKSZAoCc3IeenvVSq5TWpOXenWKZTM6pVGBxHFGpNU/NeF54wxHj\nngaAiGhnheYf7NqzwXO1AmOA0Ahxt/6OeMVdOPYFlLlUc9xM0Q9gtKh0twodP9do4H1I+w0Zybq5\npcJJaf5XVhAnWfNHa0jzmHa6h5OCusdptTL3jP/tIsyZat3NM+sLGIrKDFcGyMX3YFVIGKWEAYAq\nY92r31wprfJOoVoPUMuYjHA1+E0ytBqxdUEhzTRRpkyZ0jwPQpDfERkZGcJ//uUvf9m4cSMAwNq1\nr771QafueeSUfYIQoZ3DFfj4259/tFaQv3jxYqM3lDC0fUjFiHFPnzn+3ws/m60RRw7sGzhytM01\nkTFxL7300pIlSwDgsQnT+FQiTpxRevbuP3bqzH1f7bh+zVGAiTAl+bWf4OavoEuEsuKAszvD0zPP\n8h4hnnF2P7TOg4QOAGDrfApA1xrqAEYmSaMXvjrk4e4pKSkb155ycJOGkTbs2vl81ygA+OVO5eRt\nvzi8QC1jyqptbTN0E9QMKUP1SQ7cfvaO5VaUyUPTuBmGogCAEn1RBVBLmVCV+HoPAEhpWiWjwbLl\n1aTx9QYGPygmTPCL7TcEuT/p1avXyy+/nJeXN2DAgP3795u1DQAAOLK/wHlfzyJQElPbkOPYWGf2\nBp4MnbJVoINM6hrLjg8AyOVyh31nzZp19erVy5cvC60dnNKB2MvWfLTgjVUSqfSjnftDwyPsL7D6\ncp7aBbcuwvEdAABGw73bxU3SNnjuXQMAuPEL3PzV5kxrZQ0AJMbF9BsyMiUlBSxLrOsopY18xyYF\nKca009m3UxR8PDztxe4xKcH1xp+xmFg8MHAMbh0ytE0o+Wf3hIDusRq37yIUhvFUFG/TLkI1KDWE\n8wOHEoYBlYQFSzyqfd24ZsavLBzifzwIcj8zZcqUzZs3r127tnXr1g899BBpj4qNazSu1V2dIzNC\n9djEacPGTOjcM3/8+PHz5s1r9J6j2+keSgywv2z05D+179wVALKyc8ZOnWl/AY9MJlMorOulobpa\nX+HAjvLK89NXLVlkqqujKCop7QEHN7puSddRdgvAstNhqTE7b+k/gnUNx802yr734fJJ+N82KK9X\n/EIuV6SX/0BRIPSLZBu2MMhY2n6bI1TZ+PZ5drRGZldbdWy7MDlLP5QY8NaApNahVlcbhiIHbq9k\nLAOhSpZ/lkbOLshvNS4r3OMNEYoCKU2DX+gb8FArLSelWT8IFaaBCuIkAFBSVfuP74pET4NhMKLC\ngSCIHQsXLuzVqxcA9B003H6TwivIZPLJz8/768r3ly5dqtF4/us2LDJq2Zr1X3x76vX3NsS2MlcY\naSjtGPlnQ2HDZaUlWz/+8ItNHwHA6MkzSPvw4cPNRz8fMmsDvPdoeTFU6+HXI/zJTWvfuX3zhhNp\n8//wx8Vvr/384InhYyc6OG2qgy9ehbPf2DRXVVV+svafMn1xsNy6qeSk6ProTF3/lEDh6psQKB+Z\nHtpgBwtpIYpHM2wv6xBpHjSKgqxwFbktKUzvRPVpCKWElTH0wtxYANBIaYWEiQ2QaT1VOKQMzUvl\nB/oG0DQFAO669PoCCUON7RApYSgAOH6tvPCuaKHLFEVxUrrCUUkXsUCFA0H8hbS0tMGDBy9atGji\nzBed597wE5xUY3Goc1A0/eLiBhKKA5w58V8ASGmTsebfO8dNm/XSkjdXrFgxYsQI82m+khyvcFz9\nET6cCkc+5c/8es62dNwD7ToI/9m+c9fsbrm/nP3h0w/ftX+uNiAQaqoaijKtWv2UpMTqmtqQ02hK\niGJw6+Bnu0TN7xH7Wu8EPtNXkIJ1US3oFqeNUtf7xIWuM091CFNYrCykMD3rvmFBI6MBIFQpUUqY\n8R3C+cY+SYG0RzYKucXYQvmBysH4je4jZ2mtnOXluVpq4GvIiUKIgpnUMSJC7UffJH7hZYMgCADk\n5+efOXMGAGDRoo27DkFECtgVW/EKrlR18dGjHxowKDwq6tmxI+xPpbRpyx+0SknjnUxZlp0wYcLm\nzZsBLNsoNXwYsAnKHRfYzOv3SHa3vKMHC344YS7REhUbd+3KpTcWzr5z23H0Ssm9elnMp81ZePvW\njU0fvENaQsLCybGcta5p8QHyQkul8gCZeauiZ4KW/+eqo0XJwQ7cXxwSHyBrH6kuOmfe09HI2WCu\nnjVIYtEJ5BKa//jc3T2IC5B3idECQKtA+dohKUEK85f/iPSQfRfv3ayoKTfUuhXdqrGYRhiPlvkI\ntfS3Mq8txhb3VfE1Dn6G+EUMEU33TwkSN4GyDahwIIhfcOHCBbO2AQAAmz7458Pt/+b1p4j47UNi\nYd58uZ7vSGRsHMcpO3TpPuSJJ+17dezYsW/fvl999ZXFb8NZwY6gkNCCndsLdm6XSq3pL/UVFRvf\nfcvmyrYdO42bNnPWk6NIiyYgsN2DXSY8OycyJhYAtIHB7yxfDACL3vyn0JDDSayGh+7xmsITZoVD\nWT+WJzFY/ma/RCei2jMgJehIUenN8hoAmJYdYeP/KJfQJdW1AEDaGTe3VFoFyrWWvSGibfC8/UgS\nAPx0S//Ml7Zus+ZnUWCfMiQvwZzGygPPCYqCx9vq3jhkjkiK0cpYmrrYhN0HXoSmhPB4CwXLgF+Y\nWtxWSZsB/5MIQe5LjMZ6mQNowbdFs2kJTXmQi30Ldm679Ot5YUtiSpt/bv5y1bK/dogJOPT17tcX\nvLDh3VWkxGthYeFXX30FwG+pmOBukc0NO/fsNfe1f/DHd4rNpVwNBmu2tLuODBssKwkIDBa2lN67\nu3D5W7y2AQDDx07cc+rinlMX+dyphCCF1fDQJpRrb/G00Mqbmks7MVgeqzXrSUK1hicjTAkAcpZW\nW/J2uOvD4cT7hKd1KPdUB8e+t1sebbMoL659pEr40I6RahfvbM/QNiHd4zWkHEyGjnu+a7TS7q1d\nh1e/3FXCfEEQx4J/ONJ6tlPmU1DhQBC/IDk5uW1b856CNjBozJQ/iSuPczyuDHfj/GmbloCgYP5W\ne/fu/fOzk3Z98e+1K5eveHU+f/bIEbNnKNQa4fgOuHnBpvuYyX9aPMftsZJIpTHxrRJTrenLOuZ0\nd3I9edmBaUHExhCoYLvHaQAgiJOMzHAQ2uouufFaOUsDQDBna3ue0TkKAKZ3imCtTqPufXsrXShR\nmx2ltjF+AECoUqKSMt3iNMt6J7TRCeJlLJJ4sMwrJYxSwrzYIxoAwlXSWV2jU0MUmiYobfy2jgeR\nO16HdxP2bJvJu/jDaNiACgeC+AUURe3atWvNmjWvvfbahq8OdE+LabyPSDQUjeIKnTt3tmnpkmuu\nTvL111+Txj07tvIHfPYLAIDKElIyvmPXHvzB+BkvKNXOKq926p63auNWPoWaMOo4LCKSoumVGz7v\n3DOfv2zKCwtckV8tYyQ0BQAsTYWppLznZoCMCbVTETygb3JQaohibg/b3BsAwBdlDVdZHQAVkgaX\nk6xwVRBnGxDkSvhrUpCif2qQTeOCntZ8LTM6R5HfzcQG58HCxvu78IYcomfkt/Kw1AhLU7zPhAe2\nFq/DWzj8IUBX4g9aT33QhwNB/AWWZQcPHiy2FO7hbtrTPn362LRoA8wrXFJSEmnM7pbLH2RlZa1Y\nsWLGjBlwYB1JvLHk7X8Rp7xVSxcJ75ae1VEqlaWkt2Wry3Q6XddBT2gDAl996wNezqnPz+UDVbZ9\nsj42IWnQY2P/uvJ9ACgrubf69b/u3ral35CRU56fzzktEsE/emw7nVrKBCgkAKByMz25ExY/HC91\nZLpgaapbnCZaa/VNUTS8AZEdrVqQFPPC7otyljl/W2+oNSUFKYa0DnFFgD5JgQcvlQrdKThB7rL4\nAJmEoaqNJuDzmkeowKNlXiWlASA9jJvdLTolxGw1eTIrfOuPdzwI41RYJHDX6sPTMVL132tec47m\n1S9/WOuFDs5+AiocCCImJpPpzJkzHMclJrrnY+hXuG7qkMvlq1ev/tOzzxqqqwGgW68+w3qZbR6j\nR48+d+7c+++/n5P70FMzXiD3nDZt2o4dO3bv3s3/s3VGO2EIgLGmhhy3bpv19w8/FcrDa0Lkn2U3\nrNWzvv/2m0GPmetHvvePZbu3bQGAnZ99wnHKKbOt1g6j0Viwc/vhuor+/fvHxMSAxXlCwtAA0DFS\n9VxOlBeTOcoa/mW8KC9O+M+GirAkBMp7JwVp5Mw7A5MB4OClkkUFl6M0Uq6xnKc84Sppuk4pVDhs\nctvLWLraWAcCw4bE/V/zsQFyAJAxdO+kQGH78n4JRaWGorLqD445S6xiA0mb5plZoVdiIFE42ui4\ndB235YdiD+rqmWUw21rEt3A4mUti4XcCIcj9Q01Nzbhx4/Lz8zt37uww76efIPTYaLoH6+bNmw2W\n2rP9hz1GW76aWZZdunTprVu3vvj04/ikFGGXhx+21pjtWt+LM6N9NjnO6pTj/NEGgzUO89rlS+S4\n+Ia1SOzVy4XCLq/NnfXavFkLFixo3779lStXMiPMjpP8uiJhqH4pQQPT6vmfNg99kgKJP0dmuJK0\nR6ilQg/WbnHaNX9MHpBmu1HihDHtdDEWU0qHSJWNV0ekyrxZI7cs83I3TRwPJwak6xyUKQaApCBF\nz3jto+mhg1o7HtLZ3aIndAiPVMuEjSopUTjc/k2fFqLoHqd5Mssc+RyjkT3dMcK+fpDr8Ku8P7iv\n+kOidxv8TiAEuX/45ptv/vOf//DHa9asuXbtmvPrWwAGg6GgwFompuSSbT16h4wdO3bh8reHPP7k\nS0veHDnuaeGpg3t3keOrhbYupVBfQwoOti5jVwQXC0vMtMnMIsf6ioqCr7aTf/IfFr817kGiT+8S\no5WRVW1w6+Asy2sq7Jb/VoHyrHA31MRABauzZGQf3DrEJthhQa7Z0EJMJvZPdI6ksaGjKKpnfIDa\nbtWXMFTvpMBRGaEfDkkhmVgBoHOMxnKB2yta11iNnKWjNFIAiFBLp3aKAIAYrayxfg1Jbo4NEX16\nAIC9H4/ooMKBIKJRI9gOALvIWH/DK9G5Uqk0L89aBbd9+/au9KIoqsfD/abOWdir/yCqvrG61mgd\nQ/sBtJE5ISGBHBM3EQAYM+VP42e8kJP38KTn5o56ajJpl8nrLTy8vsKvJY1WZfMRwjcia5pKynSK\nVpPjpj9ldLswXp9Qy2xfU8FSAKCVM6TEjFbm3ta8E+8TQkYY1zfF1iqTHmo25FAUvNzLusGU3ypA\nKJtb8MXwEgJlaikTwrF8aO7S3gmN9WvgbiQPrEcKR2qIq5niXOGxtl6InPIuqHAgiGjk5eXl5uby\nx8OHD3elfKu4eEXnWLZs2bBhw3r16jVz4WKh8uHZg6aMH0uO+w0Z6fziSZMm9evXjz8WFm1hJZJH\nJ0x9+R9rho+d2D46gDydYdi5S//OHw8bNmzQoEFg+YHuuqOoTQixxxHF9hDTAydh+BWOk9Dd4ppU\nAJYnXcfFaeUPJwYkBNgugXIJQ1HUX/LiiCeNw/J+PL2TAh+1W/ZcVIn6JgXYpHuf1jmSHMsYmizq\nxENTzrqtbPH7DnEB8k0j0mblRFvuQ/eM10oZykXHFwKxObmiVNkzKiOUBCLFaGVPd4xoivOpxnu+\nzN4CnUYRRDTkcvmGDRsOHDjAcZx9vGhLJT4+fvXq1d66W9++fb/77rsvCg6nZbSLio0Hp8qKRqNZ\nt25dVVWVXC4HR8E19n3z//DHHr37J2tpUutOI2OywlXk17aIkHIqnJTho17jtPIsL2kzb/RJIOXZ\nhEgZamKHcGHW9pSGf5cnBsmHtgnRKVlDrenkbxXfXimND5D1qe8o2hBxAfKMcFVRmTWHvU3YhUbO\n3tHXAADLmNO9q91fYon2I2Np4U7KgtxYvaFOb6xdsPfS+duV9h2DFKxKxly+Vy1sJBK669fCE6mW\nPdY29G/fFgFAaohiRHrIJ6dv8hlmPcAP83CgwoEgYiKVSvkKsYgH8MtMYmJiL86N8vS8tuHKnXmN\nhGVZjca6ij+eGRamlLj721d4W6+QGaHif0+rpIxOKQmSs52i1V6slipreMkckW4bYUtRDorfqaQM\nnyjskdRgAMiL19aaIFTJ6lSu+hZM6BB28no5Kblik7tsXDsdvzYTM0C3WPXOnx0X2XFIsELSOtSx\n+yoAcFKak9KPpAbxTxFCUbCqf5JSRp+5oX/7yLUii4QKi4lF5f706BCpig+UXS6pAgC1lMmJ1QLA\n8PTQ945db6yrAyypSfwL3FJBEKRB/KTyU1VV1dK5Mx9qm/Di5LG/nnPgZ8rvU7grrWdvlxHGub5k\nNvQsrwws70QxLiuMN/5P7Bhhn7aruTAvbolBclKetEOUqnWIdTkP4iQLcmNIlVpXCJBb3Vd7JwXa\nuJGSvPJSi69oO3d8YwGgW5wmrLGPsk9yYM8E24xkCgmtU0mUEqZTtPq1PlaHDxIYkhTstgEsO1rN\nUFTbcGVqiKJVkLxHnAYABqYFe6Y3+F9ILAAqHAiCOMcfdI41a9bwuUf/++3+D1a87uRK7+oc3n13\nr+scvMMjsZzHB8i6xnrBgcMDyJo4OTuib5JZ6ZHaOU7KWdo+9sQ5kx+M4G0t/ZJtdSmSSdPqwOvm\n2uxKLk6GorrGahT1Q0wjVdbNlzAlKeULSZadpkEPhLonisXPNFghWZAbO9zSnZPQozN1EoZqKO2K\nE7HdFaAZQIUDQRB/58oVa8KuIwcKnFzZFHyhWvlUXbME6PruCa5CZGAoSqAHeMFpMTlYoVNKKMqc\nMlyIWsrSFJUSrCAZrpyUp+8Wp53f09Yp20X31fyEAJu44nk9rZUHKIoKtZhhRmd6HhhCoovDVdLO\nMdaE/WPahX06svVHQ9OEjUIi1bKcGI1Nmi9UOBAEQTyhb9++5HjcuHE+NTx4cEFTHt2Um0tZCgCk\nYmscJBkaAEhoisTvkGW4iSzrnfDvUW1sIlYAQMpQb/RNeGuANSO+kzU2XcflJmhXDUia1zOGr6+m\nlTNtGnbgsGFERqhGUIzGxuAxt7tZ/+DTvWdFaTxwoHCin6mkDCelB6WF2HvFUhQ1p3vUy73i/jUk\nRZiATup/ec0BnUYRBPF/evXqtfSfH363/+vObVuPHj3a6/fPjFC5Xg6meZ4uVEQaki1ILvkVqlyv\n6m5T+CYrSlNRwXj84kIJBeGgdHaUKjlYwdLU0DYuVW9pFCeKS9uweq4STlZ5fqlOC1GkhShy44Gm\nKZoytY90VdtL13GhSra0ypzoxWZjSGvRRRhLs7urfSjHNpqEo2OUqluc1sYrViGhHtApASBUKZnY\nIXzb2dt8u2dhMr7GH2VCEASxoWNOj+kvLho/frxUav6l2zx2Dtef4sUEGy7KMCsnKj5AHu1RWkzv\nikqSh3IsE8JJsiKUoRzb/Nk220daNx2kDNUz3uzsmRgk7xJtPUVRML59GEln7iKPtw3jo4RzYjU2\nITxkF4l4c7j75nmtAkJcSAw6uHWwsGIw1Fd9FBKaaJ+ocCAIgniIP/iuuotbyooH9w9VSt4blByt\nsd1r8MWznMNbOBQSmve0GJgWPDzdba/JpkNR1hSfDyUGxAWYVbGkIIVwQ8QzesRp+CCUsZm2MdiB\ncpYPQ1Vatjyyohv03lXLmMczbQfHxZRlrQLlbeqXoRlS34z0fLco/iBY4Y/bF/4oE4IgiHP8Vv+w\n2bbwT2wyn0KTBZbQNABMfjCCX+/DVVKbH+LNBkNTxjoTAPRJCvzhpjlhl5OcIm4xJTti+9nboUrb\ndVPG0q/1if/sh2Liqukk/GVURujI9NDUYO70TX1ZtfGr83fBnaygz3WNOnW9olhvzuifl1AvzSuJ\nSR6bFeaHfyOocCAIgjSVpoe8Cj057LuL62XSKCoZDWXWfBgiwlIUn/uToek2oQqNnC2tMqo8SjRu\nT5+kwIbSpGaFq4SRLE7KyPFmkpxYTU6sBgA4lrlXbcy1S/XREDKGjtJIicKhrO++Sgw80RoP68/5\nFPHnB4IgLRij0fjJJ58sW7bs9OnTYsvi7/j0J6lPM450jFBDE5JNedH9hdgyWBrSw5Q5MWqtnHkw\n2nFAqe9gaWucCkVBTox1h0Utrfc7/+kHw+d0jw5wZ8dn8cPx/IFSwtgYbwLlZkcQDItFEOS+Y86c\nOdOnT3/99dfz8/OPHTvWlFv5m4nYd16iouDkdRp907HtdQDAuV87zeYpTe/IWooJ814RSgmTHaXO\nCHM1/NWLkCVfIaHjA8zZ9JODFR2i6r0mS1PuKgcyhuY9TIVJTnm0cubxtjqaohQSVDgQBLnPWLdu\nHTnevn27iJJ4C1/bIZzcXxT9hjzUydP5fF+elSf17kuRGjccSwHA0DYhIzPEqdJOdjeSghSBFhfO\ntBDO3VyrDnnrkcTEYHmsowCl/FbaWK3MHyupoA8HgiDNRni4e4GIvxf8zc7RFD9Q584iTu68ZqAb\n8TK+GzGtjLkCwNKUWsYCgAdVb7wFUTgmd4wIU0n3Xrh7trjSW4aHYIXknUeSHZ6KC5C/N8jxKdFp\nyQpHVVVVVVUVf8yyrEplneL37t0jx0qlUiIxT8rq6urKSrNjM8MwarV156+0tLSuro4/5jiOJAMw\nGAx6vZ4/pmlrDWsAKCsrq62tte9SU1NTUVHBH1MUpdVa3YXKy8uNRnNuGblcTspaGo3G8nLrH7lW\nqyUKbEVFRU2N2YFIJpMpFObsMbW1tWVlZaSLRqOhLcZGvV5vMJjLG0qlUo4z2xtNJlNJSQnpolar\nGUsiG+FgSiQSpdKab0c4mCqVimVZ+8G0Gf+SkhKTpbiki4PpyvjbDKZw/BUKhUwmcziYAQFWN2/h\nYArH32YwhePPDybLsvxYkfGvq6srLS11OJiVlZXV1dX2g2kz/sLB/P1O5vXr1z/xxBMA8Mgjj4wb\nNw68PZmFg9lskxkES2Z5efm9e0a3BtOzyRynqOXFE07m2tpa0oV/TXKcpKGOF5lnYMdYq6sjGUz+\ns7OfzGVllfxgkqfYTOa6Otpm/MvKKgNoqKqqIx+ZyWQSfsocx5HxNxgMZJxtJrPwU1YoFGT8a2pq\nyEfGMAz5lAGgoqJCOP7P5kRN2Hr+iUwd1BnL9OYuNE0LP2W9Xk8ms1wuJ38yRqORfMo2gynsIpPJ\nyEdmM/7Cd5EzwL9/dZVerqYj1bKzxZUqGVPtlqK4AAANuklEQVRXV0f+ZABAqVSSwayuribfzBKJ\nhHz/2AymsIvBYCDzn2VZMv4AcO/ePZtZJD4mP+CWHXq93r7RXWbNmkVeMycnR3iKzDAA+Pjjj0n7\nyy+/TNpbt24t7KLTWe1yb7/9NmlfuXIlaY+IiBB2SU1NJacWL15M2tevX0/aZTKZsEunTp3IqRde\neIG0f/nll8JP7fLly+RUv379SPuECRNI+7fffivscvLkyVu3bhkMhtLS0kcffZS0Dxs2jHT56ad6\ndTj37dtHTk2dOpW05+fnk/bffvtN2OXzzz8np+bNm0fa27dvL3xN4Zfv2rVrSfvrr1vrcsXHxwu7\nxMZa6yAsX76ctL/33nukPSAgQNglMzOTnJo/fz5p37Jli1DmmzdvklN5eXmk/ZlnniHtX3/9tbDL\nuXPnyKnBgweT9scff5y0/+9//xN2+e6778ipp556irT379+ftBcWFgq77Ny5k5x67rnnSLvNZCbf\nfQCwceNG0v7KK6+QdieT+a233iLtwskcHh4u7JKWlkZOvfrqq6R9w4YNpN1mMnfu3JmcevbZZ0n7\nf/7zH+FrXrp0iZyyn8x37typra09fPiwsMuJEydIl8cee4y0Dx06lLSfPXtW2EU4madNm0ba8/Ly\nSPv16/XqgH/22WfklHAyZ2Vl7Tl1kZwSfqF/8MEHpP2NN94g7TaTOS4ujpwSTub333+ftGu1WmGX\ndu3akVPz5s3jG/ecurjsX1tAl0j+233iV9LFOpl1idOnTyftBQX1itEIJ/OQIUNIl75jpu05dZF/\n0+PHjwu7rP1yPxmB8ePH89eDLrHr4DF8lz2nLm4/8qNQsBWbviSnRj+3iNyqS5cuwteUSqWgS+RP\nvfruJtJl6qLl5Fbx2b1I+55TF4PSHiR3W7Vq1Zbvf4FZ2/68/cTsN94hXYLSHhR2ic/uRU5NXbSc\nDOar724it5JEpQm7tH1oMOky+rlFpH3Fpi+Fr7n9yI+3bt3S6/UVFRXcM+th1jaYtQ2Su/5x4qwB\n7xxMWfx/Hx48t/bL/cIuG/ccIXfrN3Y6ac8fNZG0f3bwpLDLO5/vIadGTH+JtHf8w0jSvvvErwAQ\nFBR0y2d4sNZTJssPTREpLi62aVEqlUIdEPEWWq22qqqKaMSIt+AtHDiwXodhGK1We+fOncYvbUZO\n/lbuJ9so/O6GcKfDdcGcfM0KN03sb2j/IHe3b1wRsqF72m/rCO92+HLpwA0//LVXfEOlzpzfkNzK\n4w0pAFAqlSaTacqWM+tO3ACAD4emRqmlF+9W1dSaUhrLX+5FfD1FQ0LcTl2PTqMIgiBIPVxxFG36\nzX1xEylDAYBa5snS5t2XzbUkVufLwCYEyptT2/BPUOHwOdevX3/yySdDQ0MnT54s3CFGEAT5ndIM\nBh6H2c/sc6TawNLUmHa6WEsYqutPaXrqNltJLMEoNrm57mdwIHzOK6+8smPHDgDYsmWL0EcBQZDf\nKX6yn2JP8xS0azY8E2BMuzCvhJ42EQnDAEBGGOdxYvWmJHoR/bNzCCocPke4/Xzp0iURJUEQBHER\nt1Ys1zOG+edC6JAmJnbj7RqPtfUwC8jvaKBcpyWHxfoJmZmZe/bs4Y9zc3NFlQVBEKSpuLsWtsi1\ns1GfWdZcQdcNW8vvovJfU0CFw+c8//zzoaGhJ06cyMnJGTVqlNjiIAjSovCpg2dT8JZzqO8WYFck\ndKgEuNJRKWHCVdIwpauZxxpyT/Hzun1ugVsqPqeurq6oqOjOnTvHjh27e/eu2OIgCIL4Ct/Vl/E3\ndapRKArWD0sNdVnhuB9AC4fPWb16NcmnVF1dLcythCAIgjjHlWzrrtwEmrBb0ZxmBofhOdAitlrQ\nwuFzTpw4QY43bdrk5EoEQRDEdRpam51cL/yvic9y8aHewuFTmvJGzQ8qHD4nOzubHI8ePVpESRAE\naWH47RrTwgJ0Ea+AWyo+Z+LEiZWVld9//31iYuKcOXPEFgdBEMS3tFT9gN9YETH76u99bwUVDp/D\nsqywjByCIAjia5p5bfYTHcvPQ1pwSwVBEATxAn6y6Nrjb4I10d/C317HddDCgSAIgiAu0fTF3m/z\npjQDaOFAEARBWiwteF3/3b0aKhwIgiBIU/HPxU9EqYSWDK+L4TxG1z8/C0CFA0EQBEF+d/itVuEE\nVDgQBEEQxLfw+sHvUUvwIqhwIAiCIC2K+3xd91tQ4UAQBEEQn4NqECocCIIgCIL4HFQ4EARBEATx\nOahwIAiCIC0Hv9q58CthRAcVDgRBEARBfA4qHAiCIAiC+BxUOBAEQRDE++B+ig1YvA1BEP/CaDTu\n2rWrsrKyb9++Wq1WbHEQBPEOqHAgCOJHmEymCRMmfPnllwDQrVu3DRs2oM6BIC0D3FJBEMSPuHTp\nEq9tAMDBgwf37dsnqjgIgngNVDgQBPEjOI4T/lOlwl1wBGkhoMKBIIgfodPpZs+ezR8PHz68Z8+e\n4sqDIIi3oEwmk9gyQHFxsU2LUqmsqKgQRZiWjVarraqqqq6uFluQlgbLsgzD4MB6i+Li4srKypiY\nGIZhtFrtnTt3xJaoBYJfsz5CqVSaTCa9Xi+2IL4lJCTE3S7oNIogiN/hwXcZgiB+jl8oHCxrKwZF\nUfaNSNOhKIqmaRxbr8MwDMMwOLBeh2EY/DbwETiwPoKmaZPJhGNrj1+MCMMwNi00Tds3Ik2HVzhw\nbL0OTdM4sL6Apmlw9BWBNB2csT6Coiho6ZPWM2cMv1A47He+WZbF7XBfIJfLjUYjjq3XYVm2rq4O\nB9brMAyjUChcHNiysrLbt2/HxsbyagriHPya9REsy5pMJhxbe/DPEkGQlsBnn33WqlWrBx98cNSo\nUSUlJWKLgyCILahwIAjSEpg0aRJ/UFBQ8NFHH4krDIIg9qDCgSDI7x6bHeXy8nKxJEEQpCFQ4UAQ\n5HcPRVHTp08n/xw+fLiIwiAI4hC/cBpFEARpIn/+85/z8vKKiory8vLCw8PFFgdBEFtQ4UAQpIXQ\no0cPsUVAEKRBcEsFQRAEQRCfgwoHgiAIgiA+BxUOBEEQBEF8DiocCIIgCIL4HFQ4EARBEATxOahw\nIAiCIAjic1DhQBAEQRDE56DCgSAIgiCIz0GFA0EQBEEQn4MKB4IgCIIgPgcVDgRBEARBfA4qHAiC\nIAiC+BxUOBAEQRAE8TmocCAIgiAI4nMok8kktgxI87FgwYJ+/frl5OSILQiCuMTVq1fnzp27bt06\nsQVBEFdZs2aNRqMZNWqU2IL4HazYAiDNSnFxcWVlpdhSIIirGI3G69eviy0FgrhBSUmJ2CL4Kbil\ncn8REhKiUCjElgJBXIVl2fDwcLGlQBA30Gq1Go1GbCn8EdxSQRAEQRDE56CFA0EQBEEQn4M+HC0Q\nvV6/ZMkSo9HIcdzs2bNpml6xYkV5eXlcXNy4ceP4a1555ZUXXnhBLpfX1NTYn0WQ5sStGVtcXDxr\n1iydTgcAM2fOjIqKElN05H7F+aR1ZUrfhzCLFi0SWwbEy+zevTs4OHjGjBlFRUXFxcXXr183mUzT\np0/fuXNnfHw8TdPz5s07ffr08OHDWZb99ttvhWe1Wq3Y4iP3HW7N2MLCQq1WO2vWrN69e+NOOSIW\nziftkSNHnJy9b79mcUulBZKUlJSbmwsAarVaIpGcP38+MTERABISEs6fP69SqV577bWMjAz+Ypuz\n4kmN3L+4NWNv3rxZVFS0cuXKgoICEWVG7nOcT1rnZ8WUW1RQ4WiBpKamhoSEHD169NChQ9nZ2Xq9\nPjg4GABCQkIqKiooimIYhqbNH73NWTHlRu5X3JqxCoUiPT390Ucf3bt378mTJ0UVHLl/cT5pnZ8V\nW3bRQIWjBWIymTZv3nzw4MH58+dzHMdx3O3btwHg9u3bSqXS5mLnZxGkGXBrxnbq1Kl3794hISH5\n+fk///yzGPIiSCOT1q0pff+ACkcL5PDhw+Xl5TNnzlSpVACQnJxcWFgIAJcuXUpOTra52PlZBGkG\n3JqxGzduPHHiBABcvnw5IiKi2YVFEIDGJq1bU/r+AZ1GWyA7duw4c+bMN998s2fPHplM1qVLl717\n9x44cECn0/Xs2ZO/pqCgoEePHizLRkZG2p9FkObErRkbFhb27rvv7tu3j6bpoUOHkq0WBGlOnE9a\nV6b0fQgm/kIQBEEQxOfgjwMEQRAEQXwOKhwIgiAIgvgcVDgQBEEQBPE5qHAgCIIgCOJzUOFAEARB\nEMTnoMKBIIj3Wbp06d///nexpUAQxI9AhQNBEARBEJ+DCgeCIN7BYDBMnjw5Li4uOzv71KlTAFBS\nUjJgwIDo6OikpKS9e/eKLSCCIGKCCgeCIN7h/fffLyws/Pnnn7dv337w4EEA2LBhQ2Bg4JUrV1av\nXr1t2zaxBUQQRExQ4UAQxDt88803U6dOlclkYWFhI0aMAICcnJwDBw4sWLBApVKhSweC3OegwoEg\niHegaZqiKP6YYRgAaNeu3fHjx6OiohYtWjRkyBBRpUMQRGSwlgqCIN7hnXfe2b59++eff15aWpqd\nnf3MM8+UlJTU1ta+/PLL165dS0lJKS0txVprCHLfwootAIIgLYQnn3zy+PHjqampoaGho0ePDgwM\nHDhw4KhRoz788EOJRLJy5UrUNhDkfgYtHAiCIAiC+Bz8wYEgCIIgiM9BhQNBEARBEJ+DCgeCIAiC\nID4HFQ4EQRAEQXzO/wN/mKdgth6TSwAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 10 -h 6 -u in\n", "df$y <- 10 - df$y\n", "df$cap <- 6\n", "df$floor <- 1.5\n", "future$cap <- 6\n", "future$floor <- 1.5\n", "m <- prophet(df, growth = 'logistic')\n", "fcst <- predict(m, future)\n", "plot(m, fcst)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZiUdpWTQ2NKRcxftg3HV5c/ESbrttDiuWLWVtdWPafUQiEazElLUxxi+xaNK8ztmk/FtE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8LbPQE4q5Vevj1PA4mNh9frRfK48di6aQNezdzpaNagAq9+vRH+BvcI3ZW/no2UcRPw5CMP4LOP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\nWAZDcWj8l5Z7enrw0Y99HF/+x9sghIBl27jg6g/5BLdqyvKd7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pgMDM7SGoLkA52LF+Pz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SJI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\nIAiCIAiCIDRIIBMEQRAEQRCExv8DX8DlBKCgVXEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df['y'] = 10 - df['y']\n", "df['cap'] = 6\n", "df['floor'] = 1.5\n", "future['cap'] = 6\n", "future['floor'] = 1.5\n", "m = Prophet(growth='logistic')\n", "m.fit(df)\n", "fcst = m.predict(future)\n", "m.plot(fcst);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To use a logistic growth trend with a saturating minimum, a maximum capacity must also be specified." ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 1 }