{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Student's T Process Regression\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's set some setting for this Jupyter Notebook." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:02:30.213538Z", "start_time": "2018-10-10T21:02:30.204644Z" }, "scrolled": false }, "outputs": [], "source": [ "%matplotlib inline \n", "from warnings import filterwarnings\n", "filterwarnings(\"ignore\")\n", "import os\n", "os.environ['MKL_THREADING_LAYER'] = 'GNU'\n", "os.environ['THEANO_FLAGS'] = 'device=cpu' \n", " \n", "import numpy as np\n", "import pandas as pd\n", "import pymc3 as pm\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "np.random.seed(12345)\n", "rc = {'xtick.labelsize': 20, 'ytick.labelsize': 20, 'axes.labelsize': 20, 'font.size': 20, \n", " 'legend.fontsize': 12.0, 'axes.titlesize': 10, \"figure.figsize\": [12, 6]}\n", "sns.set(rc = rc)\n", "from IPython.core.interactiveshell import InteractiveShell\n", "InteractiveShell.ast_node_interactivity = \"all\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Now, let's import the `StudentsTProcessRegression` algorithm from the `pymc-learn` package." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:02:35.384272Z", "start_time": "2018-10-10T21:02:35.328305Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running on pymc-learn v0.0.1.rc0\n" ] } ], "source": [ "import pmlearn\n", "from pmlearn.gaussian_process import StudentsTProcessRegressor\n", "print('Running on pymc-learn v{}'.format(pmlearn.__version__))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 1: Prepare the data\n", "Generate synthetic data." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:02:45.309459Z", "start_time": "2018-10-10T21:02:41.024783Z" }, "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 150 # The number of data points\n", "X = np.linspace(start = 0, stop = 10, num = n)[:, None] # The inputs to the GP, they must be arranged as a column vector\n", "\n", "# Define the true covariance function and its parameters\n", "length_scale_true = 1.0\n", "signal_variance_true = 3.0\n", "cov_func = signal_variance_true**2 * pm.gp.cov.ExpQuad(1, length_scale_true)\n", "\n", "# A mean function that is zero everywhere\n", "mean_func = pm.gp.mean.Zero()\n", "\n", "# The latent function values are one sample from a multivariate normal\n", "# Note that we have to call `eval()` because PyMC3 built on top of Theano\n", "f_true = np.random.multivariate_normal(mean_func(X).eval(),\n", " cov_func(X).eval() + 1e-8*np.eye(n), 1).flatten()\n", "\n", "# The observed data is the latent function plus a small amount of T distributed noise\n", "# The standard deviation of the noise is `sigma`, and the degrees of freedom is `nu`\n", "noise_variance_true = 2.0\n", "degrees_of_freedom_true = 3.0\n", "y = f_true + noise_variance_true * np.random.standard_t(degrees_of_freedom_true, size=n)\n", "\n", "## Plot the data and the unobserved latent function\n", "fig, ax = plt.subplots()\n", "ax.plot(X, f_true, \"dodgerblue\", lw=3, label=\"True f\");\n", "ax.plot(X, y, 'ok', ms=3, label=\"Data\");\n", "ax.set_xlabel(\"X\"); ax.set_ylabel(\"y\"); plt.legend();" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:02:49.285779Z", "start_time": "2018-10-10T21:02:49.271684Z" } }, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 2: Instantiate a model" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:03:00.470351Z", "start_time": "2018-10-10T21:03:00.467185Z" } }, "outputs": [], "source": [ "model = StudentsTProcessRegressor()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 3: Perform Inference" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:10:05.521660Z", "start_time": "2018-10-10T21:03:05.201384Z" }, "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Average Loss = 303.15: 100%|██████████| 200000/200000 [06:37<00:00, 503.33it/s]\n", "Finished [100%]: Average Loss = 303.15\n" ] }, { "data": { "text/plain": [ "StudentsTProcessRegressor(prior_mean=0.0)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.fit(X_train, y_train)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 4: Diagnose convergence" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:13:03.049296Z", "start_time": "2018-10-10T21:13:02.693824Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.plot_elbo()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:13:17.721426Z", "start_time": "2018-10-10T21:13:07.367476Z" }, "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(model.trace);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:13:18.870588Z", "start_time": "2018-10-10T21:13:17.723848Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(model.trace, lines = {\"signal_variance\": signal_variance_true, \n", " \"noise_variance\": noise_variance_true, \n", " \"length_scale\": length_scale_true, \n", " \"degrees_of_freedom\": degrees_of_freedom_true}, \n", " varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\", \"degrees_of_freedom\"]);" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:13:19.409558Z", "start_time": "2018-10-10T21:13:18.872774Z" } }, "outputs": [ { "data": { "image/png": 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Zu3YtABMmTMDT09OYRMCTFRvA7IrEzZs3mTp1KitXrgSerA41bdqUKVOm0KJFCx48eMCJEyeeK1aR/3VKJEREJFXvvvsu165dM96UwZO3Fg8fPhyATz75xLjd29ubpKQkJk2aZHKDFh4ezvbt26lUqZLZl9X99ttv7N27l969exu3JdfiJ/9yfPv2bS5cuEDRokWfGXefPn3IkSMH06ZNY9myZSluGHfu3MmIESPIkCGDsVk6LfXr1yd79uzMnj2byMhIk8/GjRtHcHCwcaWkdu3aODo6Mn/+fJOx586dY/ny5c88VrJVq1YZV2WS91+0aBG5c+fGw8Mj1X0yZcpEo0aNOHv2bIokau/evYwdO5YVK1Y8M3H6p5JLxf7+bohKlSrh5OTE8uXLOXjwoMn4mTNnMm/ePGMfxfPw8fEB4Ntvv8VgMBj/Tpa8+vXXX3+ZbE/u1YEnzempyZYtG8HBwUyaNIlbt26ZfHblyhUAk0fPirzJVNokIiKp6tKlC6GhoQwaNIhff/2VPHnysGnTJqKjo+nZs6fJCoO/vz87d+4kJCTE2MwbGRnJ9u3byZs3L6NGjTJ7nEmTJlGrVi2TBuP3338fV1dXRo0axalTp9i/fz+JiYlmX0b2d2+99RZz587lk08+4ZtvviEoKIhKlSqRMWNGTp48yb59+8iYMSOjRo2iTJkyz5zPwcGB4cOH079/f3x9ffH09CRfvnzs27ePI0eOULp0abp27Qo8uQkdNmwYvXr1onXr1jRo0ACA9evX4+jo+NxN4I6OjrRu3ZomTZrw8OFDNmzYwKNHj5gwYYLZci2AgQMHcvDgQcaMGcOWLVtwd3cnJiaGjRs3kiFDBkaOHEm6dK/2N8TcuXNjb2/P3r17GTVqFPXr16dixYqMGTOGTz75hI4dO1KvXj0KFy7MsWPH2LNnD05OTvTt2/e5j+Hq6krx4sWJiIigUKFCKZrTfXx8WLduHQEBATRu3Jjs2bNz9OhRfv/9d/LkycONGzdSJAnJ7O3t6dmzJ8OHD6dJkybUr1+fzJkzs2/fPo4ePUqzZs149913/9E1EvlfoRUJERFJVfbs2Vm8eDENGzbkt99+Y+nSpbz11ltMnTqVHj16mIx1cHBgyZIlfPjhh1y/fp358+dz7NgxWrVqRWhoqLEJ+mlbt27l8OHDJqsRyaZPn2580tGDBw+YMmWK2Xme5u7uTlhYGL169SJTpkxs2LCBxYsXc+XKFVq1asXq1atT/IqdloYNG7JgwQKqVq3Krl27WLBgAffu3cPf35+goCCT5mpPT0+CgoIoVaoUYWFhbNu2jTZt2tCnT5/nPl7v3r1p06YN69evZ926dZQqVYqffvqJunXrprmfo6MjISEhdO3alZiYGObPn8/+/fvx8PAgJCSEKlWqPHcML8re3p7BgweTM2dOFi1axJ49e4An/SvLli3D29ub/fv3ExwczJUrV+jUqRNLly61+EV5yd9f06ZNU5RT1alTh0mTJvHOO++wZs0aVq5cyaNHjxg8eDCzZ88Gnjyq15xOnToxadIknJycCAsLY+HChcTHx/P1118zcuRIi+IU+V9mZ3jWoxZERERERESeohUJERERERGxmBIJERERERGxmBIJERERERGxmBIJERERERGxmB7/KvKcEhISuHr1qrXDEBEREXmtChQoYHxHzN8pkRB5TlevXqVevXrWDkNERETktdqyZQtOTk4ptuvxryLPSSsSIiIi8iYytyKhREJERERERCymZmsRGzR9+nSmT59u7TBEREREzNKKhIgNKlq0KAAXLlywahwiIiIi5qjZWsQGBQcHWzsEERERkTRpRUJERERERCymHgkREREREbGYEgkRG+Tp6Ymnp6e1wxARERExSz0SIjbo5s2b1g5BREREJE3qkRAREREREYuptElERERERCymRELEBh09epSjR49aOwwRERERs1TaJGKD9EI6ERERsXVqthaxQR9//LG1QxARERFJk1YkRERERETEYuqREBERERERiymRELFBQ4cOZejQodYOQ0RERMQslTaJ2CA1W4uIiIitU7O1iA0KCwuzdggiIiIiadKKhIiIiIiIWEw9EiIiIiIiYjElEiI2qGzZspQtW9baYYiIiIiYpR4JERuUP39+a4cgIiIikib1SIiIiIiIiMVU2iQiIiIiIhZTIiFig7Zt28a2bdusHYaIiIiIWSptErFBeiGdiIiI2Do1W4vYoK+++sraIYiIiIikSSsSIiIiIiJiMfVIiIiIiIiIxZRIiNignj170rNnT2uHISIiImKWSptEbJCarUVERMTWKZEQsUExMTGA3nAtIiIitkuJhIiIiIiIWEw9EiI2KDExkcTERGuHISIiImKWViREbJB6JERERMTW6YV0Ijbogw8+sHYIIiIiImnSioSIiIiIiFhMPRKpuHTpEi4uLvj7+1s7FBOhoaG4uLgQFBRk7VCei4eHBxUrVrR2GCIiIiLyCqi0KRUODg4EBATw7rvvWjuUf7XOnTsTHx9v7TD+lZYvXw5Aq1atrByJiIiISOqUSKTCwcGBL774wtph/Ot16dLF2iH8a/Xv3x9QIiEiIiK2S4mEiA0aP368tUMQERERSdMb1yNx9OhRunfvTo0aNShdujQNGjRg/Pjx3Lt3zzjGXI/ExYsX6du3Lx988AHlypXjk08+4dy5c9SvX59OnToZx02dOhUXFxfOnTvHxIkTqVOnDm5ubjRu3JjFixeniCk2NpYxY8bQsGFDypQpQ5kyZWjcuDEzZswgISHhpZz38OHDcXFxYdeuXSk+O3ToEC4uLgwZMsS47fTp0wwYMIDatWvj5uZG+fLl8fPzY8OGDSb7fvXVV7i4uHDkyBEaNWpE6dKl8fPzw2AwpNoj8bznunfvXlxcXAgNDWX58uU0bdqU0qVLU6tWLcaMGcODBw9SnMfmzZvp1KkTFStWpEqVKnTp0oV9+/alGPfbb7/x0UcfUaFCBcqWLUvbtm1Zv369pZf0lWrVqpVWI0RERMSmvVErEpGRkXz00UekS5cOb29vHBwcOHjwILNmzeLo0aP89NNPZveNiorCz8+PW7du4enpiZOTE9u2baN9+/YkJSVRoECBFPsMGDCAK1eu4OXlRYYMGfj5558ZMmQI6dOnp02bNgDcvXuXNm3a8Oeff+Lh4YGnpyexsbFs2rSJSZMmcfv2bQYOHPiPz93Hx4f58+cTHh5OzZo1TT5bt26dcQzAkSNH6NSpE/b29nh5eeHo6EhUVBRbtmyhZ8+ezJgxg7p165rM8fnnn1O6dGmqV69O1qxZsbOzSxHDi5zrggULOH36NF5eXtSsWZNNmzYxd+5crl27xoQJE4zjfvzxRyZOnEiePHlo0KABmTJlYu3atXTp0oWZM2dSvXp1AJYtW8Z//vMfHB0dadSoEVmzZmXLli306tWLPn368Nlnn/3jay3yskVExXLs3A3ciuehZBFHa4cjIiICvGGJREhICHfv3uWnn36iatWqxu3du3dn+/btnDlzhhIlSqS676hRo4iNjWXy5Ml4e3sD0KdPH7p06cKBAwdS3efWrVuEhYXh6Pjkf/xNmjShXbt2LF++3JhILF68mOjoaIYPH07r1q2N+wYEBODl5cWaNWteSiLh7u5O0aJF2bx5M99++y0ZM2YEICkpifXr1+Pk5ET58uUBmDx5MgkJCYSGhlK8eHHjHGFhYfTp04e1a9emSCTKly/P1KlT04zhRc41IiKChQsXUq5cOeBJwuLl5cX69esZOnQo2bJlIzIykilTpvDuu+8SHBxM3rx5Afjwww9p3rw5o0ePZs2aNVy9epWhQ4fy7rvvsnDhQnLnzg3893ucPHkyHh4eODs7v8glfqnat28PwKJFi6wcibxM387ew/6TMa/1mBXfz0/gx1WfPVBERMRCb1QikZSUBDwpb/p7IjFq1CgA4w3/02JjY9mxYwcVK1Y0JhEA9vb29O/fn3bt2qW6X8uWLU3mLF++PA4ODly+fNm4rUaNGjg4ONC8eXOTfd9++20KFy78Ut9s3LRpU6ZOncqvv/5KnTp1ANi/fz/Xrl0z+SW+S5cutGzZ0iSJAKhSpQoAN27cSDG3l5fXM4//IudaqVIlYxIBkCNHDsqVK8eWLVu4evUqxYsXZ/369SQkJODv729MIgCKFCnCwIEDefjwIY8fP+bnn38mPj6enj17GpMIgMyZM9OzZ08++ugjVq5c+VISt39q9+7d1g7hjdVj3FYuXr1r7TBemv0nY2jab/VrPeY7BXIwfYDHaz2miIi8fm9UIuHr68vixYsZP348CxYsoFatWtSqVctYjmPO8ePHSUpKwt3dPcVnZcqUIUOG1C9jsWLFUmzLnj27ST9GqVKlKFWqFPfv3+fw4cNERUVx4cIFjh49SlRUFImJiS9wpqlr1qwZU6dOJSwszJhIPF3WBBhLn65fv05ERAQXL14kMjLSuPKSWkxOTk7PPP6LnGvRokVTbMuRIwcAjx8/Bp6sWgCULVs2xVg/Pz/jfx87dgx40iNx5swZk3FxcXEmc1nbuXPnrB3CG8vWboAjomL5atovJCYZSJ/OjtEBNVTeJCIiNuGNSiRKlixJSEgIM2bMYMeOHYSEhBASEkLWrFnp3LkzvXv3TrW2/+bNmwC89dZbKT5Lnz692ZUMe3v7FNvs7Oz4+8vEHz16xMSJE1m6dKmxgTh//vxUqlSJ3Llzc/369Rc619QULlzY+Gt+fHw86dKlY+PGjbi6upqsPly5coXhw4ezdetWDAYD6dKlo2jRolSoUIETJ06kOnfmzJmfefwXOVdz1xAwXsc7d+4AT5K0tNy9++RX5iVLlpgdc/v27Weex+uQPn16a4cgNqJkEUdGB9RQj4SIiNicNyqRgCfJxHfffUd8fDwHDx5k586dhIaGMmPGDPLnz2+sTf+75BvUv68k/N39+/dfOJ7Ro0ezaNEiGjRoQIcOHXBxcSFXrlwANGzY8KUmEvCkvGno0KHs3LmTzJkzExsby6effmr83GAw0L17d86ePUv37t3x9PSkRIkSZM6cmb/++otly5a98LFf1bkmrybdv3/fpGQJ4OHDh9jb25MuXTrjuM2bN1O4cOEXPo/XISbmSR19/vz5rRyJ2IKSRRyVQIiIiM15ox7/umrVKoYNG4bBYMDe3p4qVaowYMAAY5OwuaZpV1dX7OzsOHLkSIrPzp49+48SibVr15InTx4mT55MlSpVjDfWDx8+5MqVKwAmKxj/VKNGjciYMSNbt25l/fr1pEuXjsaNGxs/P3XqFKdPn6Z+/fr06dOH0qVLG1cbksttXjSeV3Wuyc3RqX0/w4cPp0yZMkRHR+Pi4gI86ZF52oULFxgzZgxbt261+PivQpUqVYw9KSIiIiK26I1KJA4dOsSCBQsIDw832X7p0iUAChYsmOp++fPnp3r16uzevZsdO3YYt8fHxzNu3Lh/FFOmTJl49OiRsTwHnvQgjBgxgocPHwL/7QV4GXLnzk2NGjXYuXMn27Zto2rVquTLl8/4eXIpUWxsrMl+t27dYuzYsQAv/G6LV3WuTZo0IV26dMyYMcNYhgZP3vsRHh5O4cKFKVy4MD4+PqRPn57vvvvOZPUjISGBYcOGMXfuXG7duvVC5/ay+fj4mPStiIiIiNiaN6q06eOPPyY8PJz+/fuzfv16ihQpwuXLl9m4cSN58+alY8eOZvcdNGgQbdu25fPPP8fT05P8+fPz66+/Gm+406V7sZysadOmzJ07l5YtW+Lp6UlCQgK//PILkZGRODo6Ehsby61bt0xu9v8pHx8ftm3bBkC/fv1MPitatCju7u7s27eP9u3bU758eW7evMnmzZuJj48nS5YsJjfrlnhV51q8eHECAgKYMmUKzZo1o27duhgMBsLCwnj06BGjR482ntuAAQMYPXo0TZo0wcPDg5w5c7Jz507OnTtH3bp1bebmfcqUKdYOQURERCRNb9SKhJOTE4sXL6ZRo0YcO3aMefPmsW/fPnx8fAgJCUmzHv3dd99l8eLF1K5dm927d7Ns2TLeeecd40vssmTJ8kIx9enThy+++IJ06dKxaNEiNm/eTKFChZgzZ47xkax/XwV5GerVq0f27NkjtqOLAAAgAElEQVTJlClTise2pkuXju+//54WLVpw6dIl5s+fz/79+6lVqxYrVqygevXqXLhwgYsXL1p83Fd5rj169GDSpEm8/fbbrF69mjVr1uDu7s6CBQtMnrb10UcfMXPmTEqWLMnGjRtZunQpGTJk4KuvvmLKlClmn8AlIiIiIqbsDC+zAP9/VFJSEtHR0RQsWND4Irdk0dHReHp60q5dO4YMGWKdAOV/zowZMwD0pm0RERGxWW/UisSLsrOzo3nz5jRt2pT4+HiTz+bMmQOgxlh5qUaPHm0syRIRERGxRarjeA52dnb4+fkxd+5cfHx8qFWrFunTp+ePP/7g0KFD1KhRw+SN16/DyZMn2bx583OP9/X1fa6XxoltmDdvnrVDEBEREUmTSpueU1JSEitWrGDZsmVERkaSkJCAk5MTTZs25aOPPkpR8vSqhYaG8vXXXz/3+ODgYK2aiIiIiMhLo0RCREREREQsph4JERvUoEEDGjRoYO0wRERERMxSj4SIDYqJibF2CCIiIiJpUmmTiIiIiIhYTKVNIiIiIiJiMSUSIjboxIkTnDhxwtphiIiIiJil0iYRG1S0aFEALly4YNU4RERERMxRs7WIDeratau1QxARERFJk1YkRERERETEYuqREBERERERiymRELFBw4cPZ/jw4dYOQ0RERMQslTaJ2CA1W4uIiIitU7O1iA1as2aNtUMQERERSZNWJERERERExGLqkRAREREREYspkRCxQRUqVKBChQrWDkNERETELPVIiNig3LlzWzsEERERkTSpR0JERERERCym0iYREREREbGYEgkRG7Rz50527txp7TBEREREzFJpk4gN0gvpRERExNap2VrEBg0YMMDaIYiIiIikSSsSIiIiIiJiMfVIiIiIiIiIxZRIiNigPn360KdPH2uHISIiImKWSptEbJCarUVERMTWKZEQsUFXrlwBoGDBglaORERERCR1SiRERERERMRi6pEQERERERGLKZEQsUFFixY19kmIiIiI2CK9kE7EBlWtWtXaIYiIiIikST0SIiIiIiJiMZU2iYiIiIiIxZRIiNig0NBQQkNDrR2GiIiIiFkqbRKxQXohnYiIiNg6NVuL2KAxY8ZYOwQRERGRNGlFQkRERERELKYeCRERERERsZgSCREb1KlTJzp16mTtMERERETMUo+EiA3atWuXtUMQERERSZN6JERsUHx8PAD29vZWjkREREQkdUokRERERETEYuqRELFBf/31F3/99Ze1wxARERExSysSIjZIL6QTERERW6dmaxEb1LhxY2uHICIiIpImrUiIiIiIiIjF1CMhIiIiIiIWUyIhYoNmzZrFrFmzrB2GiIiIiFkqbRKxQWq2FhEREVunZmsRGzR79mxrhyAiIiKSJq1IiIiIiIiIxdQjISIiIiIiFlMiIWKDGjVqRKNGjawdhoiIiIhZ6pEQsUGXLl2ydggiIiIiaVKPhIiIiIiIWEylTSIiIiIiYjElEiI2KCIigoiICGuHISIiImKWSptEbJBeSCciIiK2Ts3WIjboww8/tHYIIiIiImnSioSIiIiIiFhMPRIiIiIiImIxJRIiNmjUqFGMGjXK2mGIiIiImKXSJhEbpGZrERERsXVqthaxQatWrbJ2CCIiIiJp0oqEiIiIiIhYTD0SIiIiIiJiMSUSIjaocuXKVK5c2dphiIiIiJilHgkRG5QtWzZrhyAiIiKSJvVIiIiIiIiIxVTaJCIiIiIiFlMiIWKDfv31V3799VdrhyEiIiJilkqbRGyQXkgnIiIitk4rEq+Ih4cHFStWtHYYVhMaGoqLiwtBQUHWDuVfqW/fvvTt29faYYiIiIiYpac2vSKdO3cmPj7e2mFYzfvvv09AQABly5a1dij/Sj179rR2CCIiIiJpUmmTiIiIiIhYTKVNIjaof//+9O/f39phiIiIiJj1RicSly5dwsXFhalTp7JlyxZatWqFu7s71apV45tvviE2NjbFPr/++isfffQR5cuXx93dHV9fXxYuXEhSUpLJuNR6JNauXYufnx+VKlWiXLlytGzZkkWLFvH0opDBYGDx4sX4+vri7u5OpUqV+Oyzzzhx4sQLneeNGzdwdXWlbdu2qX7erVs3SpUqxbVr1wB4/PgxP/30E23atKFChQq4ublRt25dBg8ebHJNkq/f5MmTGT58OGXLlqVKlSqEh4eb7ZHYtm0bH3/8MVWrVsXV1ZWqVavi7+/PyZMnTcZ16tQJDw8Prl69Sr9+/ahSpQplypShQ4cO7N27N8U5xMbGMnLkSDw8PHB3d6dBgwZMmjSJ+/fvm4y7d+8e48ePx9PTEzc3N2rWrElgYCA3btx4kUv7yixfvpzly5dbOwwRERERs97oRCLZtm3bCAgIIG/evHTq1In8+fOzbNky/P39TcbNnz+frl27cvToUerXr0/Lli25e/cuQ4cOpV+/fikSgr9bt24d/fr14+bNm/j6+tK2bVvu3LnDt99+y/fff28yduDAgQwZMoTHjx/j5+eHt7c3+/fvx8/Pj99++83i88uTJw8ffPABhw8f5sqVKyafxcbGsmfPHqpWrUq+fPkA6NevHyNHjiRDhgy0adOGtm3bYm9vz9KlS/nkk09SzB8SEkJ4eDjt2rWjbNmyZvsiFixYwGeffUZUVBRNmjShc+fOvPfee2zZsoUOHToYE5lk9+/fp3379kRERNC8eXM8PT35448/6NatG2fOnDGOu379Oq1ateKnn37CycmJDh06UKBAAWbMmEGPHj1ISEgA4O7du7Rr145Zs2bh5ORE586dKVeuHCEhIbRu3TrF8a3pl19+4ZdffvnH80RExbJ86xkiolImxSIiIiL/hJqtgePHj/Pdd9/RsGFDAHr37o2vry8HDx7k3LlzFC9enOjoaEaPHk3BggUJDg6mcOHCAMTFxfH5558TFhZG7dq1ad68earHmDNnDlmzZmXFihVkz54dgICAALy9vVmwYAH+/v7Y2dkRHh7O6tWradKkCWPGjCFDhidf0aeffkqrVq0YOHAgmzdvxt7e3qJz9PHxYefOnYSHh9OtWzfj9g0bNpCQkEDTpk0BOHToEBs2bKBp06aMHz/eOC4hIQFfX1+OHTtGZGQkxYoVM35248YNVq1aRcmSJc0ePz4+nkmTJlG0aFFWrlxJ1qxZjZ8NGTKExYsXs23bNpNVk1u3blGhQgUmT55MxowZAShRogSTJk1i9erVxtKfcePGcfnyZb7++mu6dOli3H/w4MEsXbqUrVu34uXlxcSJEzl9+jSDBw+mQ4cOxnFbtmzB39+fESNGMHnyZIuu66vi5OSU6vZvZ+9h/8mY1xzNP1Px/fwEflzV2mGIiIjIS6ZEAihcuLAxiQDImDEj1apV48yZM1y+fJnixYvz888/k5CQQI8ePYxJBEDWrFn55ptvaNKkCStWrDCbSBgMBh4+fMiZM2coV64cANmzZ2f58uU4ODhgZ2cHYCxnGTRokDGJSI7Rz8+PGTNmsHv3burUqWPROXp6epI1a1bCwsJMEomwsDAyZ85M/fr1AShQoACjR49OUZaVIUMGKlSowOnTp7lx44ZJIlGkSJE0kwiAxMREhg0bRr58+UySCIDKlSuzePHiVMuLunbtakwiAGrXrs2kSZO4fPky8CRB2bRpE0WLFjVJIgC6d+9O7ty5yZs3LwkJCaxatYoSJUqYJBEA9erVo3z58mzatIl79+4ZEz1r6zFuKxev3rV2GP/Y/pMxNO232tphiDyXdwrkYPoAD2uHISLyr6BEgv++/OvvcuTIAWB8hGtERAQAlSpVSjG2RIkSODg4GMekpm3btgQGBuLn54eLiwu1atWidu3aVKhQgXTp/lthdvz4cTJlysTChQtTzBEZGQnAyZMnLU4ksmTJQv369Vm9ejXR0dEULlyYa9eusX//fry9vY03zwUKFMDX15eEhASOHz9OZGQkFy9e5OTJk+zevRsgRT+IuV/Pnz5+o0aNjOdx7tw5Ll68yJkzZ4zlWk/PCym/m+Q4k7+XixcvEhcXl2o5VaFChejTpw8AZ86cIS4ujsTERKZOnZpi7KNHj0hMTOTUqVNUqFDhmefzqr377rsAnD9//oXniIiK5atpv5CYZCB9OjtGB9SgZBHHlxWiiIiIvOGUSECqZULJKwTJ7t27B/w3wXhavnz5iIqKMnsMPz8/8uTJQ3BwMAcOHODUqVPMmjWL/Pnz89VXXxlvsu/evUtCQgLTpk0zO9ft27efeU6p8fHxYfXq1YSFhdG9e3fCw8NJSkoyljUlW7JkCdOnTzf2DDg4OFCmTBmKFy/O4cOHU/SCZMqU6bmOv2/fPkaNGsXx48eN+5UsWRJXV1f+/PPPVHtMnv5ukr+X5LHJ1+JZqwh37twBntyYv4pr+7K9jGSmZBFHRgfU4Ni5G7gVz6MkQkRERF4qJRLPKVu2bADExMTg6Jjyhuz27dvkypUrzTnq169P/fr1uXPnDnv37mXr1q2sWbOGfv368d577+Hs7EzWrFnJli0b27dvf+nnUK1aNfLmzUt4eLgxkciVKxc1a9Y0jgkPDycwMBAXFxcCAwNxdXXl7bffBiAwMJDDhw+/0LEvX77Mxx9/TObMmRk2bBgVKlSgaNGipE+fnrCwMDZv3vxC8yZ/L08/nSlZXFyc8ZoCNGvWjLFjx77QsV6nZcuWvZR5ShZxVAIhIiIir4Se2vScknsADhw4kOKzqKgorl+/TokSJVLdNz4+nh9++MH4KFQHBwfq16/PqFGj+Pzzz0lKSuLgwYMAuLi4cPXqVa5fv55inu3btzNp0qQ0S6jSkj59eho3bszJkyf5448/OHToEN7e3iY9CGvXrgVgwoQJeHp6GpMI+G+ZzYu8w3Dz5s08fPiQnj170qZNG4oXL0769OkBOHfu3AvPW6xYMTJmzMiRI0dSfBYTE0O5cuX4z3/+Q7FixbC3t+f48eOpHicoKIjvv/+emzdvWhyDiIiIyJtIicRzatasGRkyZGDGjBlER0cbt8fFxTF06FDjmNTY29uzdu1aJk+ebLIvYGwaLliwIAC+vr4YDAaGDRtm7AMAuHbtGoGBgcycOdP46/qL8PHxAeDbb7/FYDAY/06WXKb0119/mWxftWoVv//+O4DxcaqWMDdvREQEwcHB/2jeBg0acO7cOUJCQkw+mzFjBvBkJSZTpkw0atSIs2fPMm/ePJNxe/fuZezYsaxYsYKcOXNaHMOrsHr1alavVoOyiIiI2C6VNj2nwoULM3DgQEaMGIGvr6/xKUg7d+4kOjqaxo0bm31iE0Dfvn3p0aMHvr6+eHt7kzNnTo4dO8aePXuoXLky1atXB6BFixZs3bqVDRs2cOrUKWrWrElCQgLh4eHcunWLfv36mTw1ylKurq4UL16ciIgIChUqRPny5U0+9/HxYd26dQQEBNC4cWOyZ8/O0aNH+f3338mTJw83btzg1q1bFh+3bt26TJgwgR9//JHz58/zzjvvEBUVxbZt24x9Jy8yL8CXX37JgQMH+M9//sPGjRspUaIER48eZd++fXh6ehr7TwYOHMjBgwcZM2YMW7Zswd3dnZiYGDZu3EiGDBkYOXKkSeO7NfXq1Qswn5yKiIiIWJtt3DX9S3Tu3JlZs2bh6urKxo0bWblyJbly5WL48OFMmDAhzX3r1avHnDlzcHNzY9u2bQQHB3P16lV69OjBzJkzjTewdnZ2TJkyhUGDBpElSxaWLVtGeHg47733HtOnT+fTTz/9x+eRvArRtGnTFE3lderUYdKkSbzzzjusWbOGlStX8ujRIwYPHszs2bMB2LFjh8XHzJ8/P/PmzaNq1ars2bOHRYsWERkZSadOnYy9Grt27Xqh8qbkFwi2bduWU6dOERwczJUrV/j888+ZNGmScZyjoyMhISF07dqVmJgY5s+fz/79+/Hw8CAkJIQqVapYfOxXZeTIkYwcOdLaYYiIiIiYZWd4kTs3ERERERF5o2lFQkRERERELKYeiX+poKAg7t59vrceFypUiBYtWrziiORlSn5Ld/KTvkRERERsjUqb/qU8PDyMT3x6lsqVKzN//vxXHJG8TMlv9L5w4YJV4xARERExR4mEiA168OABAFmyZLFyJCIiIiKpUyIhIiIiIiIWU7O1iA26efOm3rItIiIiNk0rEiI2SD0SIiIiYuv01CYRG+Tt7W3tEERERETSpBUJERERERGxmHokRERERETEYkokRGzQ3LlzmTt3rrXDEBERETFLpU0iNkjN1iIiImLr1GwtYoNmzpxp7RBERERE0qQVCRERERERsZh6JERERERExGJKJERsUJMmTWjSpIm1wxARERExSz0SIjYoMjLS2iGIiIiIpEk9EiIiIiIiYjGVNomIiIiIiMWUSIjYoDNnznDmzBlrhyEiIiJilkqbRGyQXkgnIiIitk7N1iI2qGPHjtYOQURERCRNWpEQERERERGLqUdCREREREQspkRCxAaNHTuWsWPHWjsMEREREbNU2iRig9RsLSIiIrZOzdYiNmjFihXWDkFEREQkTVqREBERERERi6lHQkRERERELKZEQsQGVatWjWrVqlk7DBERERGz1CMhYoMyZsxo7RBERERE0qQeCRERERERsZhKm0RERERExGJKJERs0J49e9izZ4+1wxARERExS6VNIjZIL6QTERERW6dmaxEb1Lt3b2uHICIiIpImrUiIiIiIiIjF1CMhIiIiIiIWUyIhYoO+/PJLvvzyS2uHISIiImKWSptEbJCarUVERMTWqdlaxAbt2LHD2iGIiIiIpEkrEiIiIiIiYjH1SIiIiIiIiMWUSIjYoBIlSlCiRAlrhyEiIiJilnokRGxQ6dKlrR2CiIiISJrUIyEiIiIiIhZTaZOIiIiIiFhMiYSIDVq7di1r1661dhgiIiIiZqm0ScQG6YV0IiIiYuvUbC1ig4YNG2btEERERETSpBUJERERERGxmHokRERERETEYkokRGxQt27d6Natm7XDEBERETFLpU0iNkjN1iIiImLrlEiI2KB79+4BkD17ditHIiIiIpI6JRIiIiIiImIx9UiI2KA7d+5w584da4chIiIiYpZWJERskHokRERExNbphXQiNsjLy8vaIYiIiIikSSsSIiIiIiJiMfVIiIiIiIiIxZRIiNigoKAggoKCrB2GiIiIiFkqbRKxQWq2FhEREVunZmsRG/TDDz9YOwQRERGRNGlFQkRERERELKYeCRERERERsZgSCREb1KxZM5o1a2btMERERETMUo+EiA06deqUtUMQERERSZN6JERERERExGIqbRIREREREYspkRCxQefPn+f8+fPWDkNERETELJU2idggvZBOREREbJ2arUVsULt27awdgoiIiEiatCIhIiIiIiIWU4+EiIiIiIhYTImEiA2aMGECEyZMsHYYIiIiImYpkXgF9u7di4uLCyNGjLB2KCncvXuXBQsWmGzr1KkTLi4u3Llzx0pRvXyhoaG4uLgQFBRk7VBeyNSpU5k6daq1wxARERExS83Wb5gGDRqQN29eOnbsaO1QJA0hISHWDkFEREQkTUok3jA3btwgb9681g5DnqFy5crWDkFEREQkTSptEhERERERiymReI3u3bvH+PHj8fT0xM3NjZo1axIYGMiNGzdMxk2dOhUXFxfOnTvHxIkTqVOnDm5ubjRu3JjFixenmPf+/fuMGzcODw8P3N3dadGiBVu3bmXQoEG4uLgA/+3bAIiIiMDFxSVFDX5MTAxffvklVapUoWzZsrRr147ffvvtH53z2rVr8fPzo1KlSpQrV46WLVuyaNEinn7qcGJiIvPmzcPHx4eyZctSu3ZtBgwYQHR0tMm42NhYxowZQ8OGDSlTpgxlypShcePGzJgxg4SEhGfGc/36dYYMGUKtWrVwc3PDw8ODcePGce/evX90ni9bjRo1qFGjhrXDEBERETFLpU2vyd27d2nfvj2nT5+mWrVqeHl5cenSJUJCQti1axdLliwhX758JvsMGDCAK1eu4OXlRYYMGfj5558ZMmQI6dOnp02bNgDEx8fz0UcfcfjwYcqVK0eDBg04fvw4/v7+FCxY0DhXoUKFCAgIYNq0abz11lv4+fmlKJ/58MMPyZUrFy1atODatWuEh4fTrVs3li1bhqurq8XnvG7dOvr160fRokXx9fUlXbp0bNmyhW+//ZabN2/So0cPAJKSkujevTu7du3ivffeo1WrVty8eZOwsDD27NnD8uXLyZ8/P3fv3qVNmzb8+eefeHh44OnpSWxsLJs2bWLSpEncvn2bgQMHmo3nypUrtGvXjpiYGOrWrUvx4sU5efIks2fPZvfu3SxcuJCsWbNafJ7/CyKiYjl27gZuxfNQsoijtcMRERGRfwElEq/JxIkTOX36NIMHD6ZDhw7G7Vu2bMHf358RI0YwefJkk31u3bpFWFgYjo5PbuyaNGlCu3btWL58uTGRWLBgAYcPH6Zjx45888032NnZATBmzBjmzp1rnMvJyYkvvvjCmEh88cUXKWJ0c3Nj+vTpZMyYEYDSpUszatQoVq5c+UKJxJw5c8iaNSsrVqwge/bsAAQEBODt7c2CBQvw9/fHzs6O0NBQdu3ahbe3N+PGjcPe3h6AunXr0q9fP2bNmsU333zD4sWLiY6OZvjw4bRu3dp4nICAALy8vFizZk2aicSQIUOIiYlhxowZ1KlTx7g9ODiYESNGMG3aNL788kuLz/NV+OWXX/7R/t/O3sP+kzEvKZp/puL7+Qn8uKq1wxAREZGXTInEa5CQkMCqVasoUaKESRIBUK9ePcqXL8+mTZu4d++e8YYboGXLlsYkAqB8+fI4ODhw+fJl47aVK1eSNWtWevfubUwi4MnN9YoVK7h9+/Zzx/npp58akwgADw8PRo0axaVLlyw632QGg4GHDx9y5swZypUrB0D27NlZvnw5Dg4OxnjXrVsHwP/93/8ZkwiAxo0bc+bMGWNJVo0aNXBwcKB58+Ymx3n77bcpXLgwFy5cMBvLtWvX2LlzJ7Vr1zZJIgA6duzI3LlzWblypc0kEn/XY9xWLl69a+0wXtj+kzE07bfa2mG8du8UyMH0AR7WDkNEROSVUSLxGkRGRhIXF0diYmKq7wZ49OgRiYmJnDp1igoVKhi3FytWLMXY7NmzG+v5Hz16xOnTp3F1dSVHjhwm47Jly4aLiwu///77c8dZpEgRk79z5coFPOnBeBFt27YlMDAQPz8/XFxcqFWrFrVr16ZChQqkS/ff9pyIiAgKFixI/vz5Tfa3s7OjT58+xr9LlSpFqVKluH//PocPHyYqKooLFy5w9OhRoqKiSExMNBvLiRMnMBgM3Lp1K9XvIGPGjPz555/ExMSkiMMakr+3ypUrv/Kb0YioWL6a9guJSQbSp7NjdEANlTeJiIjIMymReA2SX/R2/vx5pk2bZnbc06sHf/91PpmdnZ2xUfnWrVsAZh/n+nTPxbNkypTJovHP4ufnR548eQgODubAgQOcOnWKWbNmkT9/fr766isaNWoEPLk+b7311jPne/ToERMnTmTp0qU8ePAAgPz581OpUiVy587N9evXze6b/B0cOnSIQ4cOmR1369Ytm0gkkkvX0lpleVlKFnFkdEAN9UiIiIiIRZRIvAbZsmUDoFmzZowdO/alz2vuiUMvupLwMtWvX5/69etz584d9u7dy9atW1mzZg39+vXjvffew9nZmaxZs5qNNS4uztgAPXr0aBYtWkSDBg3o0KEDLi4uxlWThg0bpplIJM/h7+9Pr169XvJZvnyp9bC8SiWLOCqBEBEREYsokXgNihUrhr29PcePH8dgMJj0MgAEBQURFxdHu3btyJ0793PPmz17dooWLUpERATx8fEmKxiJiYkcO3bspZ2DpeLj45kzZw5ZsmShS5cuODg4GJMKJycnpkyZwsGDB3F2dsbZ2ZkDBw5w/fr1FKsrzZs3x87Ojg0bNrB27Vry5MnD5MmTTa7hw4cPuXLlCkCq1xcw9lmYuyZTpkwhc+bMdOnSJdWVoNetX79+1g5BREREJE16j8RrkClTJho1asTZs2eZN2+eyWd79+5l7NixrFixgpw5c1o8d4sWLbh3716Kuv8ff/wx1V/oM2bMyOPHjy0+jqXs7e1Zu3YtkydPTvEuiORm8eTH0/r4+GAwGBg/frxJn0N4eDhRUVFUq1YNeHIdHz16ZCxTgicJ04gRI3j48CGA2XMrXLgwlSpVYufOnaxfv97ks1WrVjF9+nR27dplE0mEiIiIyL+BViRek4EDB3Lw4EHGjBnDli1bcHd3JyYmho0bN5IhQwZGjhxp0oD8vLp06cL69euZOXMmBw4cwN3dnRMnTrB//34cHBxSlD3ly5eP8+fPExgYSO3atfHweHWNvH379qVHjx74+vri7e1Nzpw5OXbsGHv27KFy5cpUr14dgFatWrFx40ZWrVrFqVOnqFKlivHaODk5GRuumzZtyty5c2nZsiWenp4kJCTwyy+/EBkZiaOjI7Gxsdy6dctsb8jQoUPp0KEDvXr1olatWpQoUYLIyEi2b99Orly5CAwMfGXXwlJff/01AKNGjbJyJCIiIiKp04rEa+Lo6EhISAhdu3YlJiaG+fPns3//fjw8PAgJCaFKlSovNG+mTJkICgqiffv2XLx4kQULFnDv3j1mzpxJ0aJFyZw5s8n4wYMH4+TkxIoVK9iyZcvLODWz6tWrx5w5c3Bzc2Pbtm0EBwdz9epVevTowcyZM42JU/r06fnhhx/o3bs3Dx8+ZOHChezZs+f/tXfnUVVX+//HX4DihDgPiThloKmIYqioKIoT5UCTiXmdUgyHm2Vq6nVKK03NKc0UVAhMwqGyVASt7JZjZpmCKThg6VdzQJyR8/vDH+d6YtBDwPlYz8darqWfvTnnfd6y4LzP3u/PVrdu3RQVFWVeqRk1atvi/bgAACAASURBVJRGjBghe3t7RUVFKS4uTi4uLgoNDdXQoUMlSV9//XWO8dSpU0fr1q3T888/r8TERIWHhysxMVE9evRQTEyM6tatW6D5sMbq1auzPcUcAADAKOxMmbcAwkMpJSVF5cuXz/ZEZj8/P5UoUUJffvmlDSLDX5GUlCTpbvEDAABgRKxIPOTefPNNeXl5ZelD+PLLL/Xbb7/leaUDtlWnTh2KCAAAYGisSDzktm3bppCQEJUpU0adOnVS2bJldezYMX311VeqVKmS1q1bpwoVKvzl50lNTdWqVaseeL63tzdFDAAAwN8YhcTfwM6dOxUWFqZDhw7p8uXLqlSpkvz8/BQSEpIvRYR0dwtVhw4dHnj+8OHDC/0shL+TevXqSbp76jcAAIARUUgABtSjRw9J0qeffmrjSAAAALJHIQEAAADAajRbAwAAALAahQRgQJs2bdKmTZtsHQYAAECO2NoEGFCtWrUkScePH7dpHAAAADkpYusAAGQ1ZcoUW4cAAACQK1YkAAAAAFiNHgkAAAAAVqOQAAxoyJAhGjJkiK3DAAAAyBFbmwADotkaAAAYHYUEYECpqamSJGdnZxtHAgAAkD0KCQAAAABWo0cCMKC0tDSlpaXZOgwAAIAcsSIBGBA9EgAAwOg4kA4woA4dOtg6BAAAgFyxIgEAAADAavRIAAAAALAahQRgQBEREYqIiLB1GAAAADliaxNgQDRbAwAAo6PZGjCgRYsW2ToEAACAXLEiAQAAAMBq9EgAAAAAsBqFBGBATz/9tJ5++mlbhwEAAJAjeiQAA/r5559tHQIAAECu6JEAAAAAYDW2NgEAAACwGoUEYEAnTpzQiRMnbB0GAABAjtjaBBgQB9IBAACjo9kaMKDnn3/e1iEAAADkihUJAAAAAFajRwIAAACA1SgkAAOaN2+e5s2bZ+swAAAAcsTWJsCAaLYGAABGR7M1YEAff/yxrUMAAADIFSsSAAAAAKxGjwQAAAAAq1FIAAbk6+srX19fW4cBAACQI3okAAO6ffu2rUMAAADIFT0SAAAAAKzG1iYAAAAAVqOQAAxo37592rdvn63DAAAAyBFbmwAD4kA6AABgdDRbAwYUEhJi6xAAAAByxYoEAAAAAKvRIwEAAADAahQSgAFNnDhREydOtHUYAAAAOWJrE2BANFsDAACjo9kaMKCtW7faOgQAAIBcsSIBAAAAwGr0SAAAAACwGoUEYEANGjRQgwYNbB0GAABAjuiRAAyodu3atg4BAAAgV/RIAAAAALAaW5sAAAAAWI1CAjCg2NhYxcbG2joMAACAHLG1CTAgDqQDAABGR7M1YECTJk2ydQgAAAC5YkUCAAAAgNXokQAAAABgNQoJwICGDh2qoUOH2joMAACAHLG1CTAgmq0BAIDRUUgABnTx4kVJUrly5WwcCQAAQPYoJAAAAABYjR4JwICuX7+u69ev2zoMAACAHLEiARgQPRIAAMDoOJAOMKB27drZOgQAAIBcsSIBAAAAwGr0SAAAAACwGoUEYEBRUVGKioqydRgAAAA5YmsTYEA0WwMAAKOj2RowoPnz59s6BAAAgFyxIgEAAADAavRIAAAAALBavhcSISEhcnd3V0pKSn4/NP6/devWqVOnTmrYsKF8fHys3kefnp6umTNnqlWrVmrUqJG6detWMIH+Bc2aNVP79u1tHYbNPPfcc3ruuedsHQYAAECO6JF4yBw7dkwTJkyQk5OTgoKCZG9vr2rVqln1GDExMQoLC1Pt2rUVGBioChUqFFC0yKt9+/bZOgQAAIBcUUg8ZA4fPqyMjAwFBQVp1KhReXqMQ4cOSZImTZokHx+f/AwP+SQpKcnWIQAAAOSKHomHzK1btyRJ5cqVs+ljAAAA4J8tz4XEnTt3tHz5cnXu3FkeHh7q1q2bYmNjc5z/yy+/KCQkRM2bN5eHh4d69Oih1atXK7ubRn3//ffq27evvLy81KJFC02aNElHjhyRu7u7Fi5caJ7Xvn179e3bV2vXrpWPj4+aNGmid955x+JxBgwYIC8vL3l6eqpXr17avHnzX4rv/PnzGj9+vDp27KhGjRqpdevWev3113XixAlrU2ghOTlZo0ePlo+Pjxo2bCh/f3/NmjVLV65csXi9b7zxhiTp7bffzpKP+0lJSZG7u7vWr18vSerZs6fc3d21a9curVu3Tu7u7tq0aZMGDRqkRo0ayc/PT6dOnZIkpaWlafbs2fL391fDhg3Vpk0bTZ48WX/88UeW57l165aWLl2qgIAANWrUSC1bttRrr71mfqx7XbhwQVOnTlWbNm3UuHFj9e/fX4mJidnGn5GRoaioKPXs2VMeHh7y8vLSgAED9N///jfb17l48WLFxsYqMDBQHh4eat++vVasWCHp7tahoKAgeXp6qn379lq4cKHS09MfOJcFLSUlhT4jAABgaA5TpkyZkpcvHDt2rFasWKGKFSuqa9euSk9P19KlS5Wamqpr166pX79+cnZ2liR9/fXXGjhwoH7//Xf5+/urefPmOnHihNauXav/+7//s2iqjY2NVUhIiFJTU9WpUyfVr19fmzZtUlxcnFJTU+Xt7a3mzZtLklatWqWzZ88qPj5eAQEBqlOnjlq0aKG6devqk08+0b///W9du3ZNnTt3VpMmTfTLL79ozZo1Klq0qJo1a2Z+zgeN7+bNm+rXr5++++47tWjRQm3btlWpUqW0efNmbdy4Uc8++6yKFy9udS4PHDig3r176/Dhw2rZsqVat26t1NRU8+t+6qmnVLx4cZlMJhUrVkzJyclq3bq1unfvLm9vb1WvXv2Bn6tYsWJKTU3V+fPn1atXL/n5+cnb21unT59WfHy89u7dK3t7ez355JMqUaKEXnjhBV25ckVBQUHaunWrGjRoIH9/f5UqVUqff/65Nm3apK5du6pUqVKSpNu3b2vw4MH65JNP5Orqqi5duqhSpUrasmWL1q9fr7Zt25p7Mq5evarevXvrm2++kYeHh9q2batjx44pPDxc169fV6lSpdSvXz9Jd4uIUaNGKTQ0VCVKlFCXLl3k6uqqnTt3KiYmRuXKlZOHh4ckKTU1VeHh4UpNTdXq1avl7e2tZs2a6eDBg4qLi9Ply5c1Y8YM1atXT61bt9bRo0cVHx+vsmXLytPT0+r/v4Lg4eGhsLAwvfLKK7YOBbCJhBMX9NUPKbK3t1PFsiVsHQ4AIBt56pHYuXOnPvvsM7Vu3VpLliyRo6OjJCkyMlLTpk2zmHv9+nWNGzdOpUuXVnR0tPlN7+jRo/XKK68oOjpa/v7+atu2ra5du6apU6fKyclJ0dHR5tN9X3rpJQUGBmYby8WLFzVx4kT17dvXfO3MmTOaNm2a6tSpo8jISPMWnlGjRql///6aP3++2rdvLzc3N6vi++6773To0CENGzZMI0eOND9faGioZs2apS+++EJ9+vSxKpd37tzRmDFjzJ/i+/r6msdmz56tZcuWadasWXrrrbfUv39/OTs7Kz4+Xm3atFH//v2tei5nZ2eNGDFCp0+fVkJCgnr37q369etLknbv3i1JKlKkiKKiolSixP9+cc+dO1dHjhzRpEmTLF5ffHy8QkJCNGPGDPMBaqtWrdLOnTv10ksv6fXXXzfP7du3r3r37q3x48crJibGnLdjx45pxIgRGj58uKS7d5QaO3asNm7caBH7Z599ps2bN6t169ZauHChSpYsKUk6deqUevfurbfeeku+vr5ydXU1f83hw4f1/vvvy9/fX5LUtm1bDRo0SBERERavpU+fPurQoYM2btxoLlxs7dlnn7V1CLCxqct3au/hs7YOA/9AzepX0eSXWtg6DAAPgTwVEl988YUk6ZVXXjEXEdLdN2QfffSRRaPotm3bdOHCBY0ZM8bik3N7e3u99tpr2rJli9auXau2bdvq22+/1fnz5xUSEmIuIiSpWrVqGjBggN57771s4+nUqZPFvz/77DPdunVLI0eOtOgDKF68uEaOHKkBAwZo/fr1Gjt2rFXxZWRkSJISExN18+ZNFStWTJIUFBSkgIAAVa1a1dpUav/+/Tp+/Lh69OhhUURI0siRI/XZZ5/p888/15QpUyxyXVB8fX0tioj09HRt2LBBjz32WJYiqUOHDmratKm2bt2qtLQ0OTk5KSYmRs7OzlkawRs1aqQuXbro888/16+//qrHHntMX3zxhZydnRUcHGyeV6RIEY0dO9b8PZYpczvWlClTzEWEJLm6uurll1/WtGnTtGHDBo0YMcI85uLiYi4iJKlp06aSpJIlS+qFF14wX69evboqVqyo06dPW52vgjJ79mxbh5CjYe9u08kzV+4/EcBDae/hs+r22qe2DgPAfdSoWlrvv27bW+XnqZBISEiQg4OD+dPsezVp0sSikDh48KCkuz0I2e3nd3BwUEJCgiTp559/liTzFpV7Zb4J/LOiRYuqSpUqFtcyn/P777/Xr7/+ajF27do182uwNj4fHx+5uroqLi5OPj4+8vHxka+vr9q1a6dHHnkk2/ju5/Dhw5KkJ554IsuYo6OjGjVqpLi4OCUlJalevXp5eg5r/HmbVHJysq5du6Y7d+5km5+bN2/qzp07SkxMVL169ZScnKxKlSppyZIlWeaeP39e0t3X7OrqquPHj8vb21tFixa1mFe5cmVVr17dXLhJd/+/qlSpYrHikMnLy8s85141a9a0+HdmAVK1alU5ODhYjGVu+cL92fqHFv7+Ek5c0LhF3+pOhkkO9nZ6Z3hr1atZ3tZhAQD+JE+FRGpqqooVK6YiRbJ+eZkyZSz+ndks/OdPmO91+fJlSXe3KUlSxYoVs8ypXLlytl+bXU9C5nN+/PHH931Oa+IrUaKEoqOjtWTJEm3atEmxsbGKjY2Vvb29OnbsqGnTpqls2bI5Pk520tLSJElOTk7Zjme+7uvXr1v1uHmVucqSKfPNdVJSkhYtWpTj112+fNn8Ws6dO3ffuZk5zeyt+LMyZcqYvx+ku3nK7vtC+l+Obty4YXH93pWVexXGys5ftWDBAkmy2EIH/FPUq1le7wxvrYPH/lDDRytQRACAQeWpkHB2dtbJkyd1+/btLJ8mZ37inynzU+CVK1eqZcuWuT5u5pvpzDek98ruWk4ynzMuLi7bT7DzGp8klS9fXhMmTND48eOVmJioHTt26NNPP9WWLVtkb2+vefPmPXCc0v/eSJ89m/1e6Mw38tYWKPklM74ePXpo1qxZuc7NLMqaNWumyMjIXOdmvum/965U9/rz91GpUqVyzFFmUWKrHBWEuXPnSqKQwD9XvZrlKSAAwODydPvXBg0aKCMjQwcOHMgylrlVKJO7u3u21yXp0qVLmjFjhj799FPz40r/2+J0r+yeKyeZz5nd4xw/flwzZ87Utm3brI5vz549mj59uk6ePCk7OzvVq1fPfIeikiVLau/evQ8cY6bM7WE//PBDlrGMjAzt27dPJUuWlIuLi9WPnR9q164tR0dH/fLLL9neqnflypVavHixLl68qNKlS6tatWo6evRoltUBSdqwYYMWLlyolJQUFS9eXI8++qgOHTqUZW5qaqpOnjxpca1evXq6cuWKjhw5kuVxM/Net27dv/JSDSUyMvK+xRgAAIAt5amQCAwMlJ2dnWbPnm2xUvDFF19keUPesWNHOTk5afny5UpOTrYYe/fddxUeHm5+09ihQweVLVtW4eHhFmcOnDlzRqGhoQ8cX/fu3eXg4KB58+bp3Llz5uvp6el68803FRYWpkuXLlkd37lz5xQREaGwsDCLeefPn9fNmzfz9Gbfy8tLNWvWVGxsrL7++muLsQULFuj3339X165dbbYdp1ixYgoICNDRo0fNZzBk2rVrl2bNmqW1a9eat7QFBgbq0qVLmj17tkWPw9GjRzVt2jStWLHCvHIQGBioa9euafbs2eYixWQyac6cOVnOdHj66aclSTNmzLBYrTh16pTef/99FS1aVE8++WT+J8BGWrVqpVatWtk6DAAAgBzlaWtT48aNNXDgQIWGhqpnz55q166dzpw5o7i4ONWoUcPi02RnZ2dNnz5do0ePVmBgoPz9/VW5cmXt2bNHP/30kxo1aqSBAwdKurvNaNKkSXrttdf0zDPPqGPHjnJwcLA46M7e/v61T61atfT666/rnXfe0VNPPaX27durTJky+uabb3Ts2DH5+fmpe/fuVsfn7++vJk2aaPXq1Tpy5Ig8PT2VlpamLVu2SMrbNhR7e3u98847GjRokIYOHSo/Pz/VqFFD+/fv148//qhHH31UY8aMsfpx89PYsWO1f/9+zZw5U/Hx8fLw8NDZs2cVGxurIkWK6K233jL/vwwZMkTffvutIiIitG/fPnl7eys1NVWbN2/W9evXNXv2bPMWtn79+mnbtm2KiIjQwYMH1bhxY/344486cuSI+ayJTD169NC2bdu0ZcsWde/eXb6+vrp27Zri4+OVlpamiRMnqkaNGoWeGwAAgH+qPBUSkjRmzBjVrl1b4eHhio6OVtWqVTV9+nQlJiYqPDzcYm7Xrl1VtWpVLV26VDt27ND169fl4uKikJAQDRo0yKLhNvMgtA8++EAbN25U8eLF9eSTT6pZs2YaNWpUjg20fzZgwADVqVNHYWFhio2NVUZGhlxdXTVu3Dj16dPHolH8QeNzdHTU0qVLtWzZMsXFxSkyMlLFihWTp6engoODzXcPslbTpk0VExOjxYsX67vvvtOOHTtUrVo1vfzyyxo8eHCODcmFpXz58oqOjtbSpUu1detWRUREqHz58mrfvr1CQkIs7iZVvHhxhYeHa/ny5fryyy8VFRWl0qVLq2nTpgoODpa3t7d5rqOjo8LCwrR48WJt3LhRq1evVv369RUWFqYpU6ZY9E/Y2dlp3rx5ioyMVExMjGJiYlSiRAl5enpq0KBBatHi73XPcz8/P0nS9u3bbRwJAABA9uxM2W18t5G0tDRdvXpVlStXlp2dncXY2rVrNX78eL333nsKCAiwUYRA4cgsuDIPCgQAADCaPPVIFJTk5GT5+vpq/PjxFtdv3LihyMhIFSlSJM+f+gMPk927d1NEAAAAQ8vz1qaC0KBBA3l4eGjdunVKSUmRh4eHbty4oe3bt+v06dMaNWpUlsPnjGbXrl1WvQHs16+fnJ2d8/x8cXFx5kPtHsS9Jz8DAAAAeWWorU3S3XMFVqxYoc2bN+u3335T0aJF5e7urhdffFFdunSxdXj3tXDhwlwPY/uz+Pj4LKdJW2PcuHFav379A89PTEzM83Oh8Pz444+SJE9PTxtHAgAAkD3DFRIA7t55TLp77gkAAIARGWprE4C7goODbR0CAABArliRAAAAAGA1Q921CQAAAMDDgUICMKDJkydr8uTJtg4DAAAgR2xtAgyIZmsAAGB0NFsDBrR582ZbhwAAAJArViQAAAAAWI0eCQAAAABWo5AADMjDw0MeHh62DgMAACBH9EgABlS9enVbhwAAAJAreiQAAAAAWI2tTQAAAACsRiEBGFBcXJzi4uJsHQYAAECO2NoEGBAH0gEAAKOj2RowoAkTJtg6BAAAgFyxIgEAAADAavRIAAAAALAahQRgQMOGDdOwYcNsHQYAAECO2NoEGBDN1gAAwOgoJAADOn/+vCSpYsWKNo4EAAAgexQSAAAAAKxGjwRgQLdu3dKtW7dsHQYAAECOWJEADIgeCQAAYHQcSAcYUJs2bWwdAgAAQK5YkQAAAABgNXokAAAAAFiNQgIwoDVr1mjNmjW2DgMAACBHbG0CDIhmawAAYHQ0WwMGNHfuXFuHAAAAkCtWJAAAAABYjR4JAAAAAFajkAAM6IUXXtALL7xg6zAAAAByRI8E8IDS09N15syZQnmunTt3SpJSUlIK5fkAAAByUrVqVRUpkrVsoEcCeEApKSnq0KGDrcMAAAAoVPHx8apevXqW6xQSwAMqzBUJAAAAo2BFAgA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.forestplot(model.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\", \"degrees_of_freedom\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 5: Criticize the model" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:13:19.476016Z", "start_time": "2018-10-10T21:13:19.411647Z" }, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5
signal_variance__014.3690542.2540970.02195710.17091018.868740
noise_variance__06.18200817.3300610.1875400.00610523.940172
length_scale__0_04.3481704.1625480.0427570.31978512.072470
degrees_of_freedom__024.76216716.1781130.1496324.17285956.188869
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5\n", "signal_variance__0 14.369054 2.254097 0.021957 10.170910 18.868740\n", "noise_variance__0 6.182008 17.330061 0.187540 0.006105 23.940172\n", "length_scale__0_0 4.348170 4.162548 0.042757 0.319785 12.072470\n", "degrees_of_freedom__0 24.762167 16.178113 0.149632 4.172859 56.188869" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(model.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\", \"degrees_of_freedom\"])" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:13:20.279805Z", "start_time": "2018-10-10T21:13:19.478137Z" } }, "outputs": [ { "data": { "image/png": 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pU1q+fLkWLVpU6r8FvL299fPPPys2Nlb79+/X4MGDlZ+fX6rta9WqpRYtWmjUqFE6dOiQdu3apdmzZ6tly5YKDg5Wq1atNGzYMEVFRenQoUMaPny4UlJSSjxE7FLat2+vrKwsTZw4UdHR0YqIiFBmZqb1g37gn44gjVvWnXfeqYiICC1YsEAPP/ywIiIiNHz4cOvDPC6KiIiQm5ubnnjiCY0dO1bdu3e/4lSpPwoPD5e/v7969OihPn36yMHBQU8//bTNCK4RDRs2lK+vr9q0aWOdyubo6Kj33ntPmzZtUocOHfT222/rhRdeUEBAQKmO8+yzzyo0NFR9+vRRjx49dPr0aYWHh5e6xgEDBqhDhw567bXX9MQTT8jDw0PvvvuuJKlfv37q0aOHxo8fr86dO+vIkSOaP3++AgICSrXvyZMny8PDQ0888YRmzpypt956S40bNy7VtgCAW8Ntt92mOXPm6Mcff1SnTp00a9YsjRgx4pLvMn7llVd011136aWXXlLHjh0VGxur2bNny97eXo0aNdKUKVO0bNkydezYUZ999pnefvtt6z3FpdGxY0dlZ2fbPGekcePGCg8P18SJE9W5c2etWLFC48aN07lz5xQfH3/VfY4aNUo5OTnq1q2bwsPDdccdd+ihhx4q9XV68uTJ8vLyUo8ePfTKK6+oY8eO6t+/v3VdjRo11LdvXz3zzDPy9/fXrFmzSrVfd3d3zZkzR5GRkerWrZv27NmjuXPnWm87A/7pTJbSzisBbkHZ2dnavn27WrdubQ3P69at03vvvafNmzeXc3UAAAAAygMj0sAVODk5adSoUZoxY4bi4uIUGRmpmTNn6qGHHirv0gAAAACUE0akgavYtWuXJk+ebH0VVufOnTV48OBSP8WzNCZNmqSvvvrqsuufeuopDR069Lodr7ylpKSoXbt2V2zzww8/lOrp3gAAlLXu3bvr2LFjl10/derUS75G6ma1YcMGjRgx4rLra9eurSVLltzAioC/H4I08DeQmpqq9PT0y66/+HTsf4rCwkKbp3FfSrVq1WzePw0AQHmJj4+/4kM4/fz85OrqegMrKluZmZklXkH5R46Ojld9zzTwT0eQBgAAAADAAIZ7AAAAAAAwgCANAAAAAIABBGkAAAAAAAwgSAMAAAAAYABBGgAAAAAAAwjSAAAAAAAYQJAGAAAAAMAAgjQAAAAAAAYQpAEAAAAAMIAgDQAAAACAAQRpAAAAAAAMMJd3AcBFY+duV2JKlqFtAiq6asLzLcqoIgCAUZzLAQC3AoI0/jYSU7IUn5xZ3mUAAP4CzuUAgFsBU7sBAAAAADCAIA0AAAAAgAEEadzUTKbyrgAAAADArYZ7pHFT8/N25cE2AAAAAG4ogjRuejzYBgAAAMCNxNRuAAAAAAAMIEgDAAAAAGAAQRoAAAAAAAMI0gAAAAAAGECQBgAAAADAAII0AAAAAAAGEKQBAAAAADCAIA0AAAAAgAEEaQAAAAAADCBIAwAAAABgAEEaAAAAAAADCNIAAAAAABhAkMYtyWQq7woAAAAA3KzM5V0AUB78vF01du52JaZkGdouoKKrJjzfooyqAgAAAHAzIEjjlpWYkqX45MzyLgMAAADATYap3fhHKszLUsz3E5SXmXzp9YUF2vnNW0o+/P3l95Gfo4S9yxS94U1FbxinxF+/UkF+jnV9fn6+IiIi1LRpUzVt2lTjxo1TXl6edf1vv/2mp556So0bN1bXrl21bdu269dBALgJFJ9Hlyp6/VjFbJyg5MMbZLFYrrrdt99+q549e5ZYvnjxYrVt21ahoaHq16+fTpw4YV2XmZmpCRMmqFWrVrr77rsVHh6uxMTE69ofAAAuIkjjH6cwL0un//upCvMyLtvmtx2rlXXuzBX3c3b/SuWmJ6pqswGq2rS/stPiFLNzhXX95MmTtXHjRs2aNUuzZ8/Wtm3bNHPmTElSamqqevXqpWrVqumrr77Ss88+q5dffln79u27Pp0EgJtAwt6lyk1PUNXmL+i2kCd17vh2XYjbecVtduzYobFjx5ZYvm3bNk2ePFmjRo3SihUr5OrqqhdffNG6/u2339bOnTs1bdo0LVy4UDk5OXrxxRdVVFR03fsFAABTu3HdXcu9x3WDfK7LsbNTjylh71KZ7J0u2yb3whmd3P+DXD0DLtvGYrHIZGdWQIOucvasIknyrN5E5+J2SJIuXLigxYsXa86cOQoLC5MkhYeHa+3atZKkb775Rm5ubnrrrbfk4OCg4OBgRUVF6dNPP9XUqVOvS18B4O8sNz1RmYkHVfO+1+To7i9J8g5qrey0OHlWb3rJbWbMmKE5c+aoZs2aJdZt3bpVzZs3V9u2bSUVn3M7d+6s5ORkeXp6avXq1Zo5c6ZCQ0MlSZMmTVLr1q117NgxBQcHl00nAQC3LII0rurUqVNq27atZs2apUmTJiktLU1PPvmkunXrppEjRyo2NlbNmjXT1KlT5erqqsjt3+tY1AYV5GbIqUJl+dfrJGevapKkgpwLOntglbKSo2UpzJOje4D86nWWv09TZaen6MiasaoU9qySf1urgpzzcqkYrEqNe8je0U3Jh79X6tFNNrUd+d//BrYZIQdXH2UmHVGFak3kUTlEx7dMLtEXi6VICVHLFNLqcR3a85/L9tlkMum2kMet3+dnpSr99F75VLpDkrR79265uLioRYvfHzzWvXt3de/eXZIUFxenevXqycHBwbq+Tp06+uSTT4z98AHgT4yek5cuXaq5c+cqNTVVderU0ciRI9WwYUNJ0tmzZ/XWW2/p559/VnZ2tmrVqqXRo0erSZMm1uN89NFHmjJlihISEtSsWTO9++678vHx0fTp0zVjxoxL1hjYZoSykqPl6HGbNURLUsXb216xbz/99JPmz5+vX375Rdu3b7dZ5+XlpdWrVys6Olo1a9bUN998oypVqsjLy0tFRUWaNWuWGjdubG1v+t/rGdLT06/p5wwAwJUQpFFq8+bN06xZs3T48GENGzZMW7Zs0Ztvvimz2awXXnhBK1asUJUqVXQsco386neXo7u/0s/8qrif5yjw/mEyO1dQwt4lMtk7qVqL4ul4yYfW6uy+r6Xmv49OpEZv1m2Ni++Ni//vZ0qN2Sq/OzvIJ/heedVoblNTveCKSk7LUnJm8V0KvrUfklQcfC8lLWar7B3dVLNuiysG6T86s+dLpcfvldnFWzVCOkiSTp48qcqVK2vNmjX6+OOPlZWVpfbt22vw4MFydHRUxYoVS0zjjo+PV1paWqmOCQBXU9pz8rRp0zRhwgTVqlVL69atU69evbRhwwb5+/tr2LBhcnV11ZIlS2SxWDRlyhSNGzfOOrtGkubMmaMpU6ZIkgYNGqT58+dr6NCh6tu3r3r06FGirqEf/aDkTDvlZ6XIwdVHabHbdO74T5JM8qx+t7yD77OG3D9bvHixJOmXX34pse7ZZ5/Vjh071LFjR9nb28vFxUULFy6U2Vz8p0zLli1t2n/++efy8vLSnXfeeU0/XwAAroR7pFFqgwYNUp06ddSlSxd5eXmpY8eOat68uZo0aaK7775bsbGx+uSTT1S9wYNyv62eHN39VPH2tnL2qqrzJ4vviXPzryv/+l3k5BEgJ48AedVoobyMszYPn6l4xwNy8a4uF+/q8qjSWDnn4iRJdmYnmZ09bL5c3Dzl5Oopk+nq/ynnZSQpNWarAhp0N9Rvn9vbqNo9L8nBxVP7Ns1SUVGRMjMzderUKS1cuFDjx4/Xm2++qQ0bNui9996TJLVv314HDx7UwoULlZ+fr71792rFihXKz883dGwAuJzSnpOff/55tWvXTjVr1tSgQYNUv359LV++XJJ0//33a8yYMQoODlatWrX09NNPKyYmxuacHB4erpCQEIWEhKhTp07WDwnd3Nzk5+dX4uviObmoIFfZKTHKSj6qSqFPy7fOw0qN2apzx368pv4mJycrJydH77zzjpYuXaq2bdvq5Zdf1rlz50q03bBhg+bPn69hw4bJyenyt/oAAHCtGJFGqVWtWtX6bycnJ1WuXNn6vbOzs/Ly8hQTE6ML6b/KotXWdZaiApmdvSRJXjWbKT0+Sqmpx5WXkaSc86eK21h+fxiMg2tF67/tzE6SpVCSlHJ0s1KjN9vUFLvBpCKLRTXufU0OLt6Xrd1isSjx1+WqeHsbObgaux/byeM2SVKl0KcVu+lt/fe//5XZbFZGRobee+89Va9eXZI0bNgwDRs2TCNHjlStWrUUERGhiRMnatKkSapevbqee+45ffbZZ4aODQCXU9pz8tSpUzVt2jTrury8PN12W/F5rWfPnlq7dq327NmjY8eOaf/+/ZKkwsJCa/uL5zhJcnd3V0FBgSTp448/1pw5c0rUlZNXoBr3viaTyU6WokJVCn1KdmZnOXtVU352ms6d+FneQa0M93fcuHFq27atunXrJqn44WLt27fXihUr1K9fP2u77777TsOHD1efPn306KOPGj4OAAClQZBGqV2cPneRnV3JUeDCwkIFN+mufJcatm3tnWSxFOnUjnkqzM+WR+UQuQXUlaWoUGd2f27T1mRnb/P9xYERrxrN5FG5oc26O2v6KOV8ttJynK9Ye0H2OWWnHlfO+dNKPvy9YjeYVFCQJyWdUM65OFVt2s+mfVFhvjITf5Obfx3ZmR2L++/sKbOji9LS0uTv7y+z2WzzB2ZgYKByc3OVmpoqX19fdenSRZ06dVJycrL8/Pz05ZdfqkqVKlesEwBKq7Tn5OHDh5eY9uzq6qqioiL17dtX58+fV4cOHdSmTRvl5+crPDzcpu0fn/UgyTpa3aNHDz388MMljvnGxz8pLcdZZucKMjtXkJ359/Ozo7ufCrJLjiCXxr59+2wCs9lsVp06dRQXF2ddtnz5co0dO1a9e/fWsGHDruk4AACUBkEa11VgYKDOZabJ2TfMuixx39dy8QmSk8dtyk49pqB2b8jsXEGSdO74/x4mU4r3ito7usre0dVmmYe3n7ItWTqXl3nFbc3OFVTz/t//qLqzpo+2fTtLZo9q8g6+75LbnIlcrEqhT8mjUgNJUl5migryshQcHCwHBwcVFBTo8OHDql27tiQpJiZGbm5u8vLy0i+//KJFixbpo48+kr9/8YN2Nm/erKZNL/2kWgAoC4GBgUpISFCNGr9/uDlu3Djdfffduv322/Xf//5X27Zts56nFi1aJEmletezl5eXvLy8Six3rXBU5/Iy5exdQylHN6swL1P2jm6SpLz0RMOzgi7y9/dXdHS07r//fmuNsbGx1qd0b9y4UWPGjNHAgQM1ePDgazoGAAClxT3SuK769OmjU7/9n87H7VJeZopSjmzUhbj/ytHdX3YOzpJMSo+PUn5WmtLjf1XKkY2SpMLCgjKty2RnL0c3X+uXh3eA7OzNsnNwkYOLp6TiUeiCnOKnu9rZO8izehMl//Zd8Uj2uTglRH4p3+ohuv3221WzZk21bdtWI0eO1P79+7Vr1y5NmTJFTzzxhMxmswIDA7Vt2zYtWLBAcXFxmjZtmqKiotSrV68y7ScA/FGfPn30xRdfaOXKlTp58qRmzJihFStWKCgoSBUqVJCdnZ3Wrl2r06dPa/369Zo+fbqk4unff5Wrby05VbhNZyKXKDc9QRmJB5Uas1We/3topMVSpIKcdFmKSnf+79Gjh+bOnatNmzbp+PHjioiIUEpKirp27arMzEyNGTNG9913n5555hklJSVZv65HXwAA+DNGpHFddejQQTOXbNeJfZtUkHNBju5+qnxXLzl7Ft+759+gm1KP/kfJh9fL0c1PfvU6K2HvMp07e1KSS7nWnh4fpcSoZbrjkeLXZvnV7aTk39YqfvfnshQWyP22+qrT8vcn1E6ePFmTJk1Sr169ZDab1bVrVw0ZMkRS8cjJtGnT9O677+qDDz7QnXfeqU8//dR6XyIA3AgdOnRQSkqKZsyYobNnzyooKEgzZ860Psn6zTff1KxZs/Thhx8qMDBQb7zxhkaMGKHffvvtL5+vTCY7VWnSR2f3f6OTP06XndlZ3kGt5VWz+LWBBdnndGzzO6rabKDk3/Aqeyv+UECS3n33XaWkpKhevXr6/PPP5ePjoy1btigtLU1btmyoG9J4AAAgAElEQVQpMY39008/tXlVIQAA14PJUpr5W4ABAyM2KT75ylOt/6zRHX46m5r1t9+usq+b5oxsZ2gbALiVXMs1gHMrAOBmw9RuAAAAAAAMIEgDAAAAAGAA90jjssbO3a7ElCxD29QNuransQIAAADAzYIgjctKTDF+D7G/j+vVGwEAAADATYyp3QAAAAAAGECQBgAAAADAAII0AAAAAAAGEKQBAAAAADCAIA0AAAAAgAEEaQAAAAAADCBIAwAAAABgAEEaAAAAAAADCNIAAAAAABhAkAYAAAAAwACCNAAAAAAABhCkAQAAAAAwgCANGGAylXcFAAAAAMqbubwLAG4mft6uGjt3uxJTsgxtF1DRVROeb1FGVQEAAAC4kQjSgEGJKVmKT84s7zIAAAAAlBOmdgMAAAAAYABBGgAAAAAAAwjSAAAAAAAYQJAGAAAAAMAAgjQAAAAAAAYQpAEAAAAAMIAgDQAAAACAAQRpAAAAAAAMIEgDAAAAAGAAQRoAAAAAAAMI0gAAAAAAGECQBgAAAADAAII0AAAAAAAGEKQBAAAAADCAIA0AAAAAgAEEaQAAAAAADCBIAwAAAABgAEEaAAAAAAADCNIAAAAAABhAkAYAAAAAwACCNAAAAAAABhCkAQAAAAAwgCAN3AAmU3lXAAAAAOB6MZd3AcCtwM/bVWPnbldiSpah7QIqumrC8y3KqCoAAAAA14IgDdwgiSlZik/OLO8yAAAAAPxFTO0GAAAAAMAAgjQAAAAAAAYwtfsWcC335tYN8imjagAAAADg5kaQvgVcy725/j6uZVQNAAAAANzcmNoNAAAAAIABBGkAAAAAAAwgSAMAAAAAYABBGgAAAAAAAwjSAAAAAAAYQJAGAAAAAMAAgjQAAAAAAAYQpAEAAAAAMIAgDQAAAACAAQRpAAAAAAAMIEgDAAAAAGAAQRoAAAAAAAMI0gAAAAAAGECQBgAAAADAAII0AAAAAAAGEKQBAAAAADCAIA0AAAAAgAEEaQAAAAAADCBIAwAAAABgAEEaAAAAAAADCNLA35jJVN4VAAAAAPgzc3kXAODy/LxdNXbudiWmZBnaLqCiqyY836KMqgIAAABubQRp4G8uMSVL8cmZ5V0GAAAAgP9hajcAAAAAAAYQpAEAAAAAMIAgDQAAAACAAQRpAAAAAAAMIEgDAAAAAGAAQRoAAAAAAAMI0gAAAAAAGECQBgAAAADAAII0AAAAAAAGEKQBAAAAADCAIA0AAAAAgAEEaQAAAAAADCBIAwAAAABgAEEaAAAAAAADCNIAAAAAABhgLu8CUHpj525XYkqWoW3qBvmUUTUAAAAAcGsiSN9EElOyFJ+caWgbfx/XMqoGAAAAAG5NTO0GAAAAAMAAgjQAAAAAAAYQpAEAAAAAMIAgDQAAAACAAQRpAAAAAAAMIEgDAAAAAGAAQRoAAAAAAAMI0gAAAAAAGECQBgAAAADAAII08A9kMpV3BQAAAMA/l7m8CwBw/fl5u2rs3O1KTMkytF1ARVdNeL5FGVUFAAAA/DMQpIF/qMSULMUnZ5Z3GQAAAMA/DlO7AQAAAAAwgCANAAAAAIABBGkAAAAAAAwgSAMAAAAAYABBGgAAAAAAAwjSAAAAAAAYQJAGAAAAAMAAgjQAAAAAAAYQpAEAAAAAMIAgDQAAAACAAQRpAAAAAAAMIEgDAAAAAGAAQRoAAAAAAAMI0gAAAAAAGECQBgAAAADAAII0ACuTqbwrAAAAAP7+zOVdAIC/Dz9vV42du12JKVmGtguo6KoJz7coo6oAAACAvxeCNMpcYV6mzu7/RplJR2RndpJ3YEt5B7W2rk+N3qxla9bbbOMV2FL+9TrLYilSYtRXykjYJyfPKqoU+ozMTu6SpILcdH3/xXQ1fHjoFY8f+58IVby9jTyrN7VZnhp/SEe+n647HpksSYrb/rGyU2N/b2Cyk9nJQx6VQ+Rb52GZ7Ox17MCP+u+G+SXauN9WX751HpKd2flafkR/K4kpWYpPzizvMgBcR6mpqZo4caJ++uknubm5qVevXurdu7d1/Zw5czR16lSbbZ577jmNHj1aRUVFGj16tDZs2KB69erpww8/VMWKFSVJycnJ6tevn1asWCGz+fJ/UlzuPJyZdFSnf5mnyr1nSpKeffZZ7dy507re3t5evr6+6tixo4YMGSIHBwd9/fXXGjlypLWN2WxWxYoV9eCDD+rVV1+Vu7v7Nf+cAAAoLYI0ylz8rgUqKsxX1ab9VVSQq4S9yyTZyTuopSQpNz1RtzduJ9/b2ygxNVuSZGd2kCRlJv6m7NRYVbsnXMmH1is1eov863WSJKVGb9EdYe1lZ2d/3Wr1Cmwpn+D7JUkWS5FyL5zWmT1fys7spIp3PCBJcnTxVNV7/lXcpqhAuekJSjrwrXLTE1S12QCZTNwxAeDvJTw8XDk5OZo/f74yMzM1YsQImUwm9erVS5J09OhRPfvssxo4cKB1GxcXF0nS5s2btXPnTi1btkxTp07V3LlzrUF27ty56tOnzxVDtFG9evXSgAEDJElFRUU6cOCAXnvtNbm5uSk8PFyS5Ofnp5UrV0qS8vLyFB0drUmTJunIkSP67LPPZGfHeRgAULa40qBM5Zw7pezU46rUuKecvarJ1beWfO/soNSYLdY2eemJ8vKvISdXT5mdPWR29rCO7OZlnJWzV3U5eQTIzb+28jLOSpIKci4oOyVG1es0u6712tk7WmtwcPGUe0BdVajSWBkJ+39vZDL93sbVW+4Bd6rK3X2UnXpMGQkHrms9APBX7d+/X7t379aUKVPUoEEDNWvWTEOHDtW8efOsbWJiYlS3bl35+flZvy6O7MbGxqpRo0aqVauWWrdurdjY4pk7Z8+e1S+//KJOnTpd13pdXFysNQQEBKhNmzbq1KmTNm7caG1jZ2dnbVOlShXde++9+vjjj7V7926bdgAAlBVGpMvBtdyDWjfIp4yqKVv5Wamyc3CRo7u/dZlThUoqzE1XflaqzC5eystMkof3bSq6xPZmFy+lx+9VUWGBcs+floOLl6Ti6eDeQffemFEHk71kuvKviqO7v1x8gpSRsF8elRqUfU0AUEpxcXHy9PRUUFCQdVmdOnWUlJSkU6dOqXLlyjp27JgCAwMvuX3lypX13XffKS8vTwcPHlSlSpUkFU8H79evn+ztr9+soMsxm81ycHC4YpugoCDddddd2rhxox566KEyrwkAcGsjSJeDa7kH1d/HtYyqKVv2Tu4qKshVUUGOdZS5IPucpOJ7py0WiyyF+Yrdt1Vnjh+QxeSgCtXukndQa5lMdvKo1EDnT+xQ9LrRMrt4qWqz55WffU7ZqcfkV69zmdZusRQpO/WY0uMjbe7pvhwnD39lpx4v05oAwChfX19lZGQoIyPDOsp8+vRpSVJaWposFouys7O1bNkyDRkyRM7Oznr00UfVt29f2dnZ6cEHH9TixYsVEhKiSpUqacGCBUpISNCuXbs0evToMq29sLBQu3fv1urVq9W3b9+rtq9Vq5b27NlTpjUBACARpFHGnL2qy+zsqcR9KxXQoJsK83OVcqR42p2lqNA6VdvF3VsN2g1S3PFoJR34VpLkE3yfTHZmVWsxSAW56bJ3dJPJZKfEfSvlHXyf8jOTtXHhbOXkZMu7dge5B9S9bB1n96/S2QOrrd/HbjCpqKjkGHhqzFalHfvxf/UVFIf5Ko3kHXTvVftqZ3ZWUUFu6X84AHADhISE6LbbbtObb76pN998U5mZmZoxY4YkKT8/XzExMZKkgIAAffzxxzp48KAmTZokSerfv78cHR21aNEiJScny8fHR3Z2dnrzzTc1YMAAHTt2TEOHDrXed33//fdfto4/n4clSZaS5+H58+fr888/lyTl5ubK3t5ejzzyiPr163fVvrq7uyszk4clAgDKHkEaZcrO3qzKdz2rM3u+VPT6cbJzcJZvnYeVc+6k7MzOcvGpqeAHx6lB/Zo6m5olz0IvFeZl6vyJn+UTfJ91P2YnD0lSfnaactJOyL9+F53e+W/VbtBK9u7VtGfdNAW1Gy07+0tP/at4Rzu5V2po/f7Omj46dvSgDv34uU07z+p3yzuolSTJZGcvs5OHTHal+zUpKsiVncPN/9RuAP8sjo6Omj59uoYMGaImTZrIw8NDr732mqKiouTu7q7Q0FDt2LFD3t7ekqTatWsrLS1NixYtUv/+/a378fX1lSTFx8dr7969Gjt2rAYMGKBHH31UYWFh6tWrl7Zu3XrZOv58HpaknLQTSti71GbZ448/bn2iuIODg3x9feXo6FiqvmZmZvLUbgDADUGQRplz9qyqwPuHFY8qO7goLzNFkknm/93vbO/oZtPe0d1fBTkXLrmv1KP/kU+t+2Qy2Skn7YQCqvdWjjxlsrNTfmaSnCpUvuR29o5ucnTztX7v4e0nR9fTJds5uNi0MyL3whk5edx2TdsCQFmqV6+eNmzYoOTkZFWoUEEnT56UnZ2dKlcuPmdeDNEXBQcH6+zZs5fc1+zZs/X888/Lzs5OkZGRGjVqlIKDg2U2m3X8+PHL1vDn87Ak5WellWhXoUIF1ahRw2APix0+fFi33377NW0LAIARPLUbZaowL0snf5qlgtwM6+huZuJBOXlWkb2Ds9Jif9TxrbbvLs29EC8HN78S+8rPSlXOuVN/GNEwyfK/aYGWoiJZLGXdm8vLy0hSduoxufOgMQB/M+fPn1fPnj2VkpJiHd3dvHmz6tatK3d3dy1YsKDEk7cPHjx4yYePxcXFad++fWrfvr0kyWQyyfK/k29BQYH13+Xh+PHj2rVrl7U2AADKEkEaZcre0VWWwjwlHVyjvMwUpcf/qpQjm1Tx9raSJDf/O5Sfmaxfty1X1oWzunA6Umkx/yefWveV2FfK0U3yqdXG+p5mJ8+qOnFwu5JPRkmyyNH92kaSDbNYVJCTroKcdOVnpykj8aDidy2Qq2+tK96nDQDlwdPTUzk5OXrnnXd08uRJrVu3TjNnztSLL74oSWrVqpVOnDih999/XydOnNDq1as1b94867uc/2jWrFkaOHCg9Y0J9evX16pVq7Rp0yYVFRWpZs2aN6RPRUVFSkpKUlJSkuLj47Vlyxa9+OKLat68+RXv0wYA4HphajfKXKXQp5W472ud+GGqzM6eCmj4qNxvqyepeBp3lbv7KPHYRh3Zs1H2Th7yrdNBFao0ttlHXmaKcs/HK6Dh49Zl/vUe0en9S5Wb/aMCGj4mO/vS3UP3V+Vln1fspomSJJOdWWYXb3lUDrG5pxsA/k4++OADjR07Vp07d1ZAQIAmTpyotm2LP9AMCgrSnDlzNGXKFH3++efy9fXV66+/XmKU+uTJkzp06JDefvtt67KRI0dq8ODBWrlypSZNmiQXF5cb0p+kpCS1bNlSkuTk5KTKlSurQ4cONvd0AwBQlkyW8pyHdYsaGLHJ8OuvGt3hp7Opxl+bxXZsdyO2q+zrpjkj2xnaBsA/07Vc4ziHAABuNkztBgAAAADAAII0AAAAAAAGEKQBAAAAADCAIA0AAAAAgAEEaQAAAAAADCBIA/jLTKbyrgAAAAC4cXiPNIC/zM/bVWPnbldiSpah7QIqumrC8y3KqCoAAACgbBCkAVwXiSnG3z8NAAAA3IyY2g0AAAAAgAGMSP8F1zKVtW6QTxlVAwAAAAC4EQjSf8G1TGX193Eto2oAAAAAADcCU7sBAAAAADCAIA0AAAAAgAEEaQAAAAAADCBIAwAAAABgAEEaQLkxmcq7AgAAAMC4v32QzsvL0yOPPKLt27dbl507d07/+te/FBoaqjZt2mjlypWl2te3336rnj172iyrXbv2Jb9mzJhh085isahv375avnz5X+8UAEmSj4eDmrRoo8dfnqGBEZs0MGKTer2xXC3aPqq69UPUMLS5Ojwz0rru4tfYub+fD3bt2qXu3burUaNG6tKli3788UebY0RGRurRRx9Vw4YN1aVLF+3cudO6rqCgQB988IHuvfde3X333Ro7dqyys7NvWP+Ba5GXl6cxY8aoSZMmuueeezRv3rzLtj106JCefPJJhYSEqHv37vr1119t1q9du1YPPPCAQkJCNGjQIKWkpNis//jjj9WqVSuFhYVp8ODBOn/+fJn0KftCkl544QU1adJErVu31jvvvKPc3FxJ0pYtW9SpUyfr7/DWrVuvuK8FCxaoXbt2CgsL0yuvvFKiTxd9++23ql279nXvCwDg1vC3DtK5ubkaMmSIjh49arN8xIgROnfunBYvXqwXX3xRY8eO1Z49e664rx07dmjs2LEllv/44482X0OGDJGnp6e6d+9ubVNUVKS33npLP/300/XpGAAVFeZrx9qPdSHltFLO5yg+OVPxyZnau3GucgvtVO2el1Xxzk6K3bNah3/92bo+PjnT+v72lJQUvfDCC2rfvr2+/fZbPfzww3rppZd0+vRpSdKZM2fUt29fNWvWTKtXr1br1q310ksvKTU1VZI0ffp0LVmyRGPHjtUXX3yh48eP6/XXXy+3nwlQGpMnT9bevXv16aefavz48Zo9e7a+++67Eu2ysrLUv39/hYSE6Ouvv1ZYWJgGDhyojIwMSdKvv/6qESNGaNCgQVq6dKkyMjI0bNgw6/afffaZ/v3vf2vSpElatGiRjh8/rokTJ173/liKCrTvPx/L0dFRS5Ys0ZQpU7Rp0yZ98MEHio6O1r/+9S89+eST+u6779S5c2e99NJLiouLu+S+li9frqlTp+qll17SsmXLZG9vrwEDBqioqMimXUpKiiZNmnTd+wIAuHX8bYN0dHS0nnjiCZ08edJm+cmTJ7VlyxZNnDhRtWvX1mOPPabOnTvryy+/vOy+ZsyYoQEDBqhatWol1vn5+Vm/ioqKNGfOHI0ePVqVK1eWJCUmJqpXr17avHmzKlSocH07CdyictMTFffTDGWcS7JZXpiXpZxzJ+VTq40c3f3kfls9ufnVVlZK9CX3c/EDtOeff17Vq1fXCy+8IGdnZ0VFRUmSvvjiC9WpU0dDhw5VjRo1NGTIEFWtWlUHDhywrh88eLDatm2r2rVr67333tN//vMfxcbGlmHvgWuXlZWlZcuWaeTIkapfv77atWun/v37a+HChSXarl27Vg4ODhoxYoSCg4M1atQoeXh4aN26dZKkhQsX6sEHH1T37t1Vp04dTZ48WT/++KNOnDihoqIiffLJJ3r99dfVunVr1alTR8OGDdPhw4dLhNK/KudcnLLTkxQREaHg4GDdfffdeuWVV7R69WqdOXNGzzzzjJ555hlVq1ZN/fr1k6urq/bu3XvJfX3++ed67rnn1K1bNwUHB2vSpEk6depUiQ/CJ06cqODg4OvaDwDAreVvG6R37typpk2baunSpTbLo6Ki5Ofnpxo1aliXhYWFXfaiKkk//fST5s+frwcffPCKx5w5c6Zq1aqlzp07W5cdOHBAlSpV0ooVK+Th4XGNvQHwR9kpsXKpGKy2PUfbLDfZO8hk76ALp3bJUlSovIyzyk47LmfPKpfcj5eXl9LT07Vu3TpZLBZt2rRJmZmZ1umaO3bs0EMPPfT7/k0mrVy5Uq1atVJqaqoyMzPVqFEj6/qAgAD5+Phc8XwClKdDhw4pLy9PYWFh1mVhYWHat2+fCgsLbdpGRUUpNDRUdnbFl3qTyaTQ0FBFRkZa1zdp0sTavlKlSqpSpYoiIyMVHR2t5ORkm+tm8+bNtXr1auv+rhcHNz81aPei3NzcrMtMJpMuXLigVq1aafjw4ZKk/Px8LV++XHl5eTa/t38UFxdns87FxUU1atSw+Z3etGmTjhw5ooEDB17XfgAAbi3m8i7gcp566qlLLk9KSpK/v7/NsooVKyohIeGy+1q8eLEk6Zdffrlsm7Nnz+rrr7/WzJkzZfrDE5DatGmjNm3aGCkdwFV41WwuSTI7ONkst7N3kH/9bjq7/xudO75dshTJo0qoPKs3veR+7rrrLj3zzDMaPHiwXnvtNRUWFuqtt96yjjTFxcXJ1dVVQ4YM0Y4dO1S9enWNGDFCjRo1UoUKFeTg4KDExETVqVNHkpSZmanz588rLS2tDHsPXLukpCR5enrKyen33x1fX1/l5+crJSXF5vqYlJSkwMBAm+0rVqyoQ4cOSSq+7l3qepqYmCh3d3e5u7vrwIEDev/995WUlKRWrVpp1KhRcnd3v659Mju5y8c3wPp9UVGRFi5cqBYtWliXxcTEqFOnTiosLNRrr712yRlmF+v/498DRUVFSkhIsP5OX7hwQRMmTNCHH36onJyc69oPAMCt5W87In052dnZcnR0tFnm6Oio/Px8WSyWa97vV199perVq6t169Z/tUQAf0F+ZpLc/Ouo+j0vqVLo08pKOqy02G2XbJuVlaVTp05p0KBB+uqrr/T666/r7bffto4+ZWZm6v3331fDhg31ySefKCQkRH369FFCQoLMZrMeeughTZ06VXFxccrOzrbeM5mfn3/D+gsYcblroFT8ELLStL3YLicn57LrMzMzlZeXp3feeUdDhgzR1KlTdfDgQZt7qMtKRESEfvvtN5vnFfj5+emrr77SmDFj9NFHH2nDhg2X3LZjx46aN2+edeR+xowZSk1Ntf5OR0REqG3btgoNDS3zfgAA/tn+tiPSl+Pk5FTij4W8vDw5OzvbjCQbtW7dOnXp0uUv7QPAX5OVHK1zx39WULs3ZGd2lLNXNRUV5inpwGp5Bd4jk8n2s7/58+crLy9Pr7zyiiSpbt26io6O1uzZszVnzhzZ29urdevW6t27t3X99u3btWrVKg0cOFCjR4/W0KFD9cADD8jBwUE9e/ZUnTp1rvuIG3C9XO4aKBVPYy5NW2dn56uuN5vNys3N1ahRo9S8efEMkokTJ+qxxx675Ej29WCxWDRp0iQtXrxY06ZN0+23325dV6FCBdWtW1d169bVkSNHtHDhQpvbNi4aNGiQTp8+rW7dusnOzk7t27dX69at5e7urp9++kk///yz1qxZc91rBwDcem66IB0QEKDk5GSbZcnJyfLz87vmfSYkJOjIkSN64IEH/mp5AP6CnHOn5OBWUXbm30fJnD2rqqggR4V5WTI7FQfci5937du3zzot+6J69eppyZIlkiR/f38FBQXZrK9Zs6bi4+MlST4+Ppo/f74uXLggOzs7ubu7q3nz5qpS5dL3ZAPlLSAgQBcuXFBeXp51NDkpKUmOjo7y9PQs0TYpyfaBfn+8Xl7penoxKP/x9+fiNPEzZ85c9yBtsRRp1KhRWr16tT744AO1a9dOUvE94VlZWTYjyLVq1brsmzpcXFz0/vvva8KECSooKJCnp6cee+wx3XPPPVqzZo11irok6z3ljRs31rx583TXXXdd1z4BAP7Zbrog3ahRIyUmJurUqVOqWrWqJGn37t0KCQm55n3u3btXvr6+Jf7gBnBjmZ0rKD8rVUWFBbKzLz495WUkys7sJHvH3x9E5OftqrFzt+vImQLtj9mh2KJN1nVHft6q3FwXDYzYpDzH27Rw5f9p77nikS1/HxfFxMSoQYMGkqRhw4apY8eOuvfeeyUVnwsyMjLUuHHjG9VlwJA777xTDg4OioyMVNOmxc8O2L17t+rVqyez2faSHhISotmzZ8tischkMslisWjPnj0aMGCAdf3u3bv1+OOPSyoOyPHx8WrUqJF8fX3l6OioAwcOKCCg+P7lmJgYmUwm61strqeY/36t7Ud/1P+zd99xVdWPH8ffDMWZqCG5FRM1QUDTzL3S1KZpWYkry23DbZqkOSpHZM6sLLNS01xo7koztZTQVFRQcCs4EZArcH5/+PN+uzEPgqzX8/Hg8eCee8bnc8499/N5n3VnzZqlli1bWodv2LBB27dv15o1a6zDDh06lGJ7/fHHH6tKlSrWOl24cEFHjhzRlClT1L59e/Xr1886bmBgoEaOHKlVq1ZZ6wgAQHrlunukK1asqCZNmmjkyJEKDg7WihUrtHbtWnXr1k3SnSPMERERSS5XS83x48f18MMPZ1WRAaRTUddasrMvoItBy2S5eUnREccVcWS9nKs2sd52EX8rSvG3Lbp4OUYFytTVlXPB+md3gMLCT+nI/u06f3y3CldopHOR0SpU7nFFnjqoQ3t/Vlh4uP7Y9L0uXLigZ599VpJUsmRJzZw5U8HBwQoKCtLw4cPVrVs3OTs7Z+dqAFJUuHBhPffcc3r//fd14MABbd26VV9++aW6d+8u6c7Z6bsP0XryyScVExOjiRMnKiQkRFOmTFF0dLQ6dOggSXr55Ze1bt06LVu2TEePHtXIkSPVrFkzValSRcWKFVPXrl01adIk/fXXXzp06JD8/Pz0xBNP3NMVYMmJvRquM4e3a8iQIfLw8FBERIT1r3Pnzjp16pRmzpypsLAwffPNNwoICLA+cdtisSgiIsJ6dtnV1VWzZ89WYGCggoODNXjwYLVu3VrVq1dX6dKlVblyZevf3bPqlStXtl7uDgBAeuW6IC1JH330kYoXL64XX3xRs2fP1gcffGA9g3T+/Hk1adLE+vMe6REZGZnkkjgA959DgcKq+PgbSrgdq1M7P9PFAz+qRMX6Ku3+v9suTmyZqNPH9kqSCpespHKP9lDU+SCF/zZTV0/u1EM+L6vIg3cOjBVyrqhyj3bX9dN7Ff7rDF07f1QLFy60nn168803VbNmTfn6+mrgwIF68sknbR5wBOREo0ePlqenp3r06KHx48dr4MCB1nDcpEkTrV+/XpJUrFgxzZ8/X4GBgXr++ee1f/9+LViwwPoMAB8fH02cOFFz585V165dVbx4cX344YfW5YwYMUJt27bVwIED5evrK3d3d02ZMiXT63Pz/EFJ0vTp09WkSRObv7Jly2rhwoXauXOnnnnmGS1dulSffvqpateuLenOWeUmTZro/PnzkqRXX31VTz75pPr3768ePXqoVq1amjp1aplj8ykAACAASURBVKaXGQAAO+NeHnWdz/WdskXnIqNNTePt7qJLV2KYjumYLhumK/dgUc0f3cbUNADMyUjbyL4JAMhtct090lnhvQW7dPFyjKlpHnErlUWlAQAAAADkZARpSRcvmz+zVaZUkSwqDQAAAAAgJ8uV90gDAIC84+5P2gEAkFtwRhpAvkFnHciZ7v6kndnbrFxLF9GENxplUakAAEgZQRpAvkFnHci5MnKbFQAA2YUgDSBfyUhnnTPZAAAA+DeCNACkgTPZAAAA+DeCdAaFHd2ndd9+rGsRp01Nty6Dy2M6pssr0xUrVUEerfrqwUqeGVxa9uCyU0Davn27BgwYoODg4EybZ7FSFeTcY4SKuNTKtHkCAJDVeGp3Bq1fYj5EA5BuXjmjg1vmZncxAGRA3759MzVES3e+E9Yv+ThT5wkAQFbLU2ekM3Lp5SNupbKoNADyO+6tBgAAyJvyVJDOyKWXZUoVydCyOrw6XOu+naZrEacyND2QX929tDs/4N5q5DXz58/XwIEDdeTIkUybZ7FSFdTh1eEZmpaDVQCA7JKngvT9VKVGPb349hemg7u3u4suXTEf+JmO6fLidPkBTwlHXtKyZUsdPnw41XH6Ttli+jNf5f+/Q8zKyMGqhx4sovdf50AVAODe5MggzSXaAPKzjJ7JfsStlC5fv2V6OoIFcjOzB6vKlMrY/sV+AgD4t3sK0omJibpx40ZmleV/4mPlYNwyNUmCJUauJezkYDiYmq5kkUTZJTAd0zEd0+Ws6a5FxWXoe1Dx5qcrUaiQPl2yS1ej4kxNV+mh4oqKtty36SSpZHEnde/4iOnpJOmbgMOml3kvy0vLAw88IHv7rH3mZ5a106nI6W1xRvev3LKfZOVnFgDyk7TaaTvDMIyMzvzatWvy9/fP6OQAAORbb775ppydnbN0GbTTAABkTFrt9D0F6btHuv39/fXmm29mdDa5CnXNm6hr3pRf6ppf6inlrbrm5jPSeWk73G+su4xhvWUM6y3jWHcZk5fWW1rt9D1d2m1vb29N6Vl9VD0noa55E3XNm/JLXfNLPaX8Vdd79e92OrOxHTKOdZcxrLeMYb1lHOsuY/LLenPw8/Pzy4wZValSJTNmkytQ17yJuuZN+aWu+aWeUv6qa07Gdsg41l3GsN4yhvWWcay7jMkv6+2eLu0GAAAAACC/ydqbswAAAAAAyGMI0gAAAAAAmECQBgAAAADABII0AAAAAAAmEKQBAAAAADAhzSC9cuVK1ahRI9m/c+fOJRn/tddeSzLeli1bsqTwmcliseipp57Srl27rMOuXbumIUOGqG7dumrVqpV++umnVOexe/duPf300/Ly8pKvr6/Cw8OzutgZklxdDx06JF9fX/n4+KhVq1aaP3++EhMTU5xHu3btkmznI0eO3I/im5JcXefPn5+k7JMmTUpxHrl1u86aNSvZ/bZmzZopziMnb9dTp06pX79+ql+/vpo1a6apU6cqLi5OknT27Fn17t1b3t7eat++vX799ddU57V+/Xo98cQT8vLyUv/+/XX58uX7UYV0S62uf/zxh1544QX5+PioXbt2Wr58eYrzSUxMlJeXV5JteuPGjftVlTSlVtf33nsvSdkXLVqU4rxy+nbNCywWi8aNG6f69eurcePG+vzzz7O7SDlKRvoSwcHBeumll+Tl5aVOnTrpwIED97vY2epevttzS/ucFUJDQ9WzZ0/5+PioZcuWWrhwofU91lv6jB07Vr6+vtbXae2L+b2NWbduXZI2ecCAAZLy8WfOSENsbKxx6dIl69+FCxeM5557zhg8eHCy4zdt2tQICAiwmSYuLi6txWSrW7duGQMHDjTc3d2N33//3Tq8b9++hq+vrxEcHGwsX77c8PDwMPbt25fsPM6dO2d4e3sbCxYsMI4fP2689dZbRocOHYyEhIT7VY10Sa6uV69eNR5//HFjwoQJxokTJ4xt27YZDRo0ML755ptk5xEXF2fUqlXL2Ldvn812vn379v2sSppS2q5Dhw41Jk6caFP2qKioZOeRm7frzZs3bep46tQpo1mzZsbUqVOTnUdO3q5xcXFG+/btjcGDBxshISHGnj17jNatWxtTpkwxEhMTjWeeecZ4++23jePHjxvz58836tSpY5w6dSrZeQUFBRmenp7GihUrjCNHjhjdunUzevfufZ9rlLLU6nry5EnD09PTmDt3rhEWFmasXr3a8PDwMLZu3ZrsvMLCwowaNWoYZ86csdmmiYmJ97lWyUutroZhGF27djUWLlxoU/aYmJhk55XTt2teMXHiROOpp54yDh48aGzevNnw8fEx1q1bl93FyhEy0peIjo42GjdubEyaNMkICQkxPvjgA6Nhw4Yptkl5zb18t+eW9jkrWCwWo2XLlsaoUaOMsLAwY9u2bYaPj4+xevVq1ls67dq1y3B3dze6detmGEba+yJtjGHMmDHDGDhwoE2bfP369Xz9mUszSP/X4sWLjccee8y4du1akveioqIMd3d34/Tp05lSuPvh+PHjxjPPPGM8/fTTNo1feHi44e7uboSFhVnHHTNmjDF06NBk5/PJJ58YXbt2tb6OiYkxfHx8bBrT7JZSXVetWmU0bdrU5gM9d+5co0uXLsnO58iRI8YjjzxiWCyW+1LujEiproZhGM8995yxYsWKdM0nN2/X/5o6darRvn37FLdbTt6uf/75p1G7dm3j5s2b1mFr1qwxGjVqZOzatcvw9PS06Xj26NHDmDFjRrLzGj58uM1+fO7cuST7enZKra6zZ882XnzxRZvxx44da7z11lvJzmvLli1Gy5Yts7S89yK1uhqGYTRo0MDYvXt3uuaV07drXhAdHW14enrafMfMnj3b5jsyv8poX2L58uVGixYtrO1vYmKi8cQTTxjLli27/5XIBvfy3Z4b2uescvr0aePNN980YmNjrcMGDhxojB07lvWWDtHR0Ubr1q2Nrl27WoN0Wvsibcydz9inn36aZHh+/syZukf65s2b+uyzzzRkyBCVKFEiyfshISFycnJSuXLlMu2MeVbbu3evHnvsMS1dutRmeFBQkFxcXFS5cmXrsHr16unvv/9Odj5BQUGqX7++9XXhwoVVu3ZtBQYGZk3BMyClujZo0EAzZsyQvf3/Pg52dnYpXv4ZGhqqChUqqECBAlla3nuRUl0TExN18uRJVa1aNV3zyc3b9d/OnDmjxYsXa+TIkSlut5y8Xd3c3LRgwQIVLVrUOuzuZzQoKEiPPPKIihUrZn3PzL5atmxZlS9fPsds09Tq2r59e40bN85m/LT21fR+1rNDanWNiIjQtWvXMryv5rTtmhcEBwfLYrGoXr161mH16tXTwYMHlZCQkI0ly34Z7UsEBQWpbt261vbXzs5OdevWzTef23v5bs8N7XNWqVChgj755BMVKlRIhmFo3759+vPPP/X444+z3tJh5syZatCggRo0aGAdlta+SBtzJ+cl1ybn58+co5mRly5dqoIFC6pLly7Jvh8SEqIHHnhAb7/9tvbt26eHHnpIgwcPVvPmzTOlsFnhlVdeSXZ4RESEypQpYzOsdOnSunDhgqnxL168mDkFzQQp1bVs2bIqW7as9fWtW7e0bNmyFLdbSEiIHBwc1KdPHx05ckRVq1bV8OHD5eXllSXlzoiU6nr27FnFxsZq2bJleuedd1SoUCG98MIL6t27t82BhLty83b9ty+//FK1atVKdV/Mydu1VKlSatSokfV1YmKivv32WzVq1Mj0vnrp0qUcvU1Tq+t/G7DIyEgFBARY71H6r5CQEEVHR+vVV19VeHi4atWqpdGjR8vNzS1L65BeqdU1JCREjo6O8vf312+//aaSJUuqZ8+e6tSpU7LzyunbNS+IiIhQiRIl5OTkZB324IMP6vbt27p8+XKS9Z+fZLQvERERkWS/Ll26tIKDg7OmoDnMvXy354b2+X5o1qyZLl26pJYtW6pdu3aaPHky6y0VgYGB+vnnn7Vu3Tp9+eWX1uFp7Yv5vY2xWCw6ffq0tm/fLn9/fxmGoSeffFJDhgzJ1/tqus9IG4ahpUuXqlu3bqme0YqOjlarVq20cOFCNW/eXP369VNQUFCmFfh+iY2NVcGCBW2GFSxYULdv35ZhGOke32KxZGk5M1tCQoKGDx+u2NhY9e/fP9lxQkNDdePGDb3yyitasGCBqlWrph49eujMmTP3ubTmhYaGSpJcXV01b948vfHGG5o3b57Nl+m/5YXtGhMTo9WrV6tXr16pjpebtuuUKVN05MgRDRs2TLGxsUm+k+7uq8m5detWrtqm/67rv8XExGjQoEEqU6ZMip340NBQXb9+XYMGDdKcOXPk5OSk7t27Kyoq6n4U3bR/1/XEiROSpJo1a+rzzz9X586d9d5772nDhg3JTpvbtmtulNL3oSTWcwrS6kvkhTYmM5n5bmfd3TFnzhzNmTNHhw4d0pQpU1hvqbBYLHr33Xc1ZsyYJFfWprVe8nsbEx4ervj4eBUpUkSzZs3SiBEjtHbt2nz/mUv3GelDhw7p1KlTevbZZ1McZ9iwYerfv78eeOABSXc6QIcOHdIPP/yQI85qmeHk5JRkA1ssFhUqVEh2dnbpHt/Z2TlLy5mZLBaLhg0bpp07d2rRokVycXFJdrzp06crLi7OegmHn5+f9u/fr1WrVmnQoEH3s8imtWjRQrt371bJkiUlSTVq1NDVq1e1ZMkS9enTJ8n4eWG77tixQ4ZhqE2bNqmOlxu2q2EYmjRpkr7//nv5+/urevXqcnJy0s2bN23Gu7uvJie1fTsnSa6ud0VFRalv3746c+aMvvvuOxUuXDjZeXz33XdKSEhQkSJFJN3Zxs2bN9fWrVv13HPP3Zd6pEdydX344YfVsWNH675Ws2ZNhYeH6/vvv1f79u2TzCO3bNfcLKV1LCnFz2B+l1Zfgs/tHRn5bs8L7XNm8PT0lHQn6I0cOVIvvPAC6y0Fs2fPVuXKlTPUhuT3fbV69eo2/eeaNWvKMAwNHTpUXbp0ybefuXSfkf7tt9/k5eUlV1fXFMdxcHCwhui73NzcdOnSpYyXMJu4uroqMjLSZlhkZGSK4dLV1VURERHpHj+nuXXrlvr376/ff/9dCxcuTPXAR4ECBWzug7Czs8tV2/nul8Bd1apVS7HsuX27Snf23RYtWiQ5GvhfOX27JiYmasyYMfrhhx80c+ZM64EBs9vI7L6dHVKqqyRduXJF3bt31+nTp/XNN9+oUqVKKc7HycnJGqLvvq5QoUKOupwqpbra2dklaWTd3NxSLHtu2K65naurq27cuGHTIYqIiFDBggWTfW4K0v5c5oU25l5l9Ls9P6+7ixcvauvWrTbDqlWrptu3b8vFxYX1loK1a9dq586d8vHxkY+Pj7744gv99ddf8vHxSdfnLb+3Mcn1n2/fvq0yZcrk289cuoP0f28UT86QIUPk5+dnM+zuvZa5jbe3ty5evGhzWeu+fftSDJheXl7av3+/9XVsbKwOHz4sb2/vLC9rZhg2bJgOHDigr776yuZBMsnp3LmzFixYYH2dmJioo0eP5pj7LlPz9ddf6+mnn7YZdvjw4RQ/o7l9u0rp23elnL9dp06dqrVr12rWrFlq27atdbiXl5eCg4MVExNjHbZv374Ut5GXl5f27dtnfX3+/HmdO3cuR23TlOpqsVjUr18/61UUqW2b+Ph4NW3aVAEBAdZh0dHRCg8PzzHbVEq5rlOnTlXfvn1txj1y5EiKZc8N2zW3q1WrlgoUKGDzgJh9+/apdu3acnQ09ciVfCOtvoSXl5cCAwOtt4wZhqH9+/fnq89tRr/b80L7nFGhoaEaPHiwze8YHzp0SKVKlVK9evVYbylYvHix1q1bp1WrVmnVqlXq0qWLPDw8tGrVqjT3xfzexmzatEmNGjWyOZB6+PBhPfDAA/L29s6/n7n0Pt67ZcuWxk8//ZRk+KVLl6yP3//pp58MDw8PY82aNcbJkycNf39/w9PT0wgPD7+HB4vfP//96aDevXsbr7zyinHkyBHjxx9/NDw8PIz9+/cbhmEY8fHxNr+Rffr0acPT09OYM2eOcfz4cePtt982OnbsmGN/I+3fdQ0ICDDc3d2N1atX2/w23OXLlw3DSFrXWbNmGQ0aNDB++eUXIzQ01Bg3bpzRsGFD48aNG9lWn9T8u66hoaGGp6enMW3aNCMsLMxYs2aN4ePjY6xZs8YwjLy1XQ3DMG7fvm088sgjxp9//plk3Ny0XQMDAw13d3dj/vz5Np/RS5cuGfHx8UaHDh2MwYMHG8eOHTPmz59veHl5WX+GLy4uzjqeYRjG/v37jdq1axtLly41goODDV9fX6NPnz7ZWT0bqdV1/vz5xiOPPGLs2rXLZvjVq1cNw0ha11GjRhmtW7c29u7daxw9etTo16+f0b59+xzx2+CGkXpdd+/ebdSsWdP4+uuvjfDwcGPx4sVG7dq1rZ/l3LZd84px48YZ7du3N4KCgowtW7YYdevWNQICArK7WDmKmb5EVFSU0bBhQ+P99983jh8/bkyaNMl4/PHH883vSN/Ld3tua58zk8ViMZ566imjT58+RkhIiLFt2zbj8ccfNxYtWsR6M2HGjBnWn79Ka1/M723MlStXjIYNGxojR440Tpw4YWzfvt1o3LixMXfu3Hz9mUt3kPb09DS2b9+eZLi7u7vNb/IuXrzYaNOmjeHh4WF06tTJ2Lt3b6YU9H74b+MXGRlp9O3b1/D09DRatmxprFq1yvre6dOnDXd3d5vfOP3ll1+Mdu3aGXXq1DF8fX1z9AGEf9d18ODBhru7e5K/pk2bGoaRtK7x8fGGv7+/0bx5c8PT09Po1q2bERwcnG11Sct/t+uuXbuMTp06GXXq1DFatWplLFmyxPpeXtquhmEYERERhru7u3Hs2LEk4+am7Tp16tRkP6Pu7u7G7du3jbCwMOPVV181PDw8jA4dOhg7duywTrt79+4kv2+/cuVKo0WLFoa3t7cxYMAA60GjnCC1uj7//PPJDr/7+4z/rWt0dLQxYcIEo3HjxoaXl5fRr18/4+zZs9lZPRtpbdeAgACjY8eOhoeHh9G+fXtj48aN1mlz23bNK2JiYowRI0YY3t7eRuPGjY0vvvgiu4uU45jpSxiGYQQFBRnPPfec4eHhYbzwwgvGwYMH73eRs829fLcbRu5qnzPbuXPnjL59+xo+Pj5GkyZNjHnz5hmJiYmGYRist3T6d5A2jLT3xfzexhw6dMjo1q2b4e3tbTRp0sSYNWtWvv/M2RlGMo+gBgAAAAAAyUr3PdIAAAAAAIAgDQAAAACAKQRpAAAAAABMIEgDAAAAAGACQRoAAAAAABMI0gAAAAAAmECQBgAAAADABII0AAAAAAAmEKQBAAAAADCBIA0AAAAAgAkEaQAAAAAATCBIAwAAAABgAkEaAAAAAAATCNIAAAAAAJhAkAYAAAAAwASCNAAAAAAAJhCkAQAAAAAwgSANAAAAAIAJBGkAAAAAAEwgSAMAAAAAYAJBGgAAAAAAEwjSAAAAAACYQJAGAAAAAMAEgjQAAAAAACYQpIE0nDlzRjVq1FB4eHiWLsdiseiHH36wvvb19dXMmTOzdJlmzZo1Sy+//HKmzW/x4sVq1qyZfHx8NHr0aMXExGTavAEAOdPMmTPl6+ub3cW4r/bv36/WrVvLy8tLv/76a5rjf/fdd2rQoIHq1aunqKioLC/fsGHDNGrUqCxfTnKCg4P10ksvycvLS506ddKBAweypRyAWQRpIIcICAjQnDlzsrsY982mTZv0ySefaPz48frmm2908OBBTZ06NbuLBQBAplu4cKGqVKmigIAAPfbYY2mOP2PGDL366qtavXq1ihcvfh9KmD1iYmLUp08feXl5aeXKlapXr5769u2rmzdvZnfRgDQRpIEcwjCM7C7CffX111+rW7duat26tTw9PeXn56effvpJ0dHR2V00AAAyVVRUlDw8PFShQgUVKlQoXeM/+uijqlChwn0oXfZZv369ChQooFGjRqlatWoaM2aMihcvrg0bNmR30YA0EaQBE6KiojRy5EjVq1dPjRs31rhx46xHTffs2aNmzZpp6dKlatasmby9vTV06FDdunXLOv2aNWvUpk0beXl5aejQoXrnnXc0a9Ys7dmzR6NHj9bFixdVo0YNnTlzRpIUERGh119/XZ6enmrXrp127NiR7rL6+/uradOm8vT01EsvvaTAwEDre4cPH1a3bt3k5eWl1q1b68cff7S+t337dj3//PPy9PRUvXr19NZbb6V4ZPivv/5S586dVadOHXXs2FGrVq1KV9kSEhJ08OBB1a9f3zrM29tbCQkJOnLkSLrrCADI+UJCQvTyyy/Ly8tLvXr10rVr16zvpdWOLFq0SE2bNlXdunX1wQcfyNfXVytXrpR05xaoCRMm6IknnlDTpk115coVXbhwQQMGDJC3t7datGihadOmyWKxpGt558+fV58+fVS3bl01aNBAo0ePTvfB3bi4OE2bNk3NmzeXt7e3+vXrp7Nnz0qSWrVqpb1792revHlq1apVqvO5ezuZJPXu3VujRo3SypUr9eKLL2rIkCGqV6+eli9fLsMwNGfOHDVt2lT16tXTa6+9prCwMOt8Uuuv3F0Pzz77rOrUqaO3335bcXFxNuW42xeoU6eO2rdvbxNsfX19tWDBAvXq1Ut16tRRly5ddOrUKY0dO1Y+Pj5q166d/vrrr3Stt6CgINWtW1f29nciiZ2dnerWrWvTZwFyKoI0YMKYMWN09epVLVmyRPPnz9fJkyc1evRo6/uXL1/W+vXr9fnnn2vWrFnasmWLtcH/66+/NGbMGPXu3VsrV65U4cKFtX79ekmSj4+PxowZIxcXF+3cuVNly5aVdCd4t23bVgEBAfLw8NCIESOUmJiYZjk3b96sJUuWaNq0aVq/fr0eeeQRDRkyRImJibpy5Yp69uwpNzc3/fTTT3r77bfl5+env/76S6dPn9bgwYPVtWtXbdiwQf7+/tq9e7e+//77JMuIiIjQG2+8oaefflpr167VwIED9cEHH2jbtm1plu/GjRuKi4tTmTJlrMMcHR3l7OysCxcupDk9ACB3sFgseuONN1ShQgWtXLlSbdq00fLlyyWl3Y6sWbNG/v7+Gj16tJYuXaozZ87ozz//tJn/ypUrNWXKFM2ZM0clS5bUwIEDVaJECa1YsULTpk3TL7/8ohkzZqRreRMmTJCjo6NWrFihL7/8UoGBgZo3b1666jl+/Hht2rRJH374oZYuXar4+Hj1799fCQkJ+vHHH+Xj46MePXrYHLhOTtmyZbVz505J0ieffKJ3331X0p3AWblyZS1fvlwtW7bUt99+q9WrV+ujjz7SsmXLVLlyZfXo0UOxsbGSUu+vXLlyRX379lXjxo21atUqubm5adOmTdYy/PHHHxo8eLCeffZZrV69Wi+99JKGDRtmc+/y3Llz1aVLF61cuVLXr1/XCy+8oIceekg//vijKleurMmTJ6drvUVERNj0BSSpdOnSunjxYrqmB7KTY3YXAMgtEhIStHnzZu3evVvOzs6SpA8//FCtWrXS+fPnJUnx8fEaM2aMatSooRo1aqhp06Y6ePCgJOn7779Xu3bt9Morr0iS/Pz8rI1lwYIFVbx4cdnb28vFxcW6zNatW6tLly6SpNdff13r1q1TRESEXF1dUy3r2bNn5ejoqHLlyqlixYoaOnSo2rZtq8TERG3YsEFFixbV+PHj5eDgIDc3N127dk2JiYlKSEjQu+++q5deekmSVKFCBTVq1EghISFJlrFkyRI99thj6tGjhySpcuXKOnHihL7++us0j7jfPUtfsGBBm+EFCxa0OXMAAMjddu3apatXr8rPz09FixZVtWrVtGfPHmvIS60d+e677+Tr66sOHTpIutPmNm/e3Gb+zZo106OPPirpTgA8c+aMli1bJgcHB0nSe++9p969e2vYsGFpLu/s2bOqUaOGypcvr4IFC+qzzz6TnZ1dmnW8fv26Vq9erXnz5qlhw4aSpGnTpqlFixbasWOHWrRooQIFCqhw4cIqVapUqvNycHCw9gNKlChhc390v379VLRoUUl37rkeO3asHn/8cUnSuHHj9Ouvv2rjxo2qW7duqv2Vbdu2ydnZWcOHD5ednZ0GDx6s7du3W5ezZMkStWnTRj179pQkVa1aVUFBQVq4cKE+/fRT63q/u11atWqljRs3atCgQZKkLl26aPjw4WmuN0mKjY2lL4BciyANpNOuXbtkGIZatmyZ5L2wsDDrZUmVKlWyDi9WrJji4+MlSUePHlXnzp2t7zk6OsrDwyPVZf53XpKSXH6VnI4dO+r777/XE088IU9PT7Vq1UqdO3eWo6OjQkJCVLNmTWsnQ5K6detm/b9gwYKaO3eujh8/ruPHjyskJEQdO3ZMsowTJ05ox44d8vHxsQ6Lj49Ps5MgSU5OTpKUpKG0WCzpuncMAJA7hISEqGLFitYAKEkeHh7asWNHmu3I0aNH9dprr1nfK1GihKpWrWoz//Lly1v/Dw0N1Y0bN6zBWrrz/JHbt2/r3LlzaS7vjTfe0KhRo7R161Y1adJEbdu2tYbF1ISFhSkxMVFeXl7WYc7OzqpatapCQ0PVokWLNOeRFmdnZ+s6jI6O1oULFzRs2DBr30O60z8ICwtTiRIlUu2vhISEyN3d3eYggYeHh7VNDg0N1YsvvmgznY+Pj5YtW2Z9XbFiRev/Tk5OKleunM3r9Abh5MalL4DcgiANpFNcXJyKFCmS7H3ALi4u1jPPBQoUsHnv7kPEHBwckjxQLK0HjP27gUzvNHfLExAQoD/++EO//vqrli5dqiVLlmjFihVJyvdvwcHBevnll9WyZUvVq1dPPXv21Ndff53suPHx8erYsaMGDBiQZpn/y9nZWU5OToqMjJS7u7t1fteuXUtyiRcAIHf7wNp4NAAAIABJREFUb7vl6Hin+5lWO5KedvPfZzPj4+NVuXJlzZ8/P0kZHnrooTSX99RTT6lRo0basmWLfvvtN40ePVo7d+5M8xcl7h4c/q+EhAQlJCSkOm16/XsZd+c5Y8YMPfzwwzbjFS9eXPv370+1v7Jp06Yk67FAgQLWQJtciL171dpd/z4YL6Wv7U+Oq6urIiIibIZFRkbaXJ0H5FTcIw2kU5MmTRQTE6OEhARVrlxZlStXliRNmTIlXT/T8PDDD+uff/6xvv7vg7XSc/lYev3yyy9aunSpmjZtqrFjx2rjxo2Kjo7Wvn37VLlyZR09etTmXuvRo0fL399fq1evVt26da0/u1GnTh2Fh4cnG96rVq2q8PBw67qoXLmydu7cmeb9X9KdBtfT01P79u2zDvv777/l4OCgWrVqZc5KAABku+rVq+vUqVO6fv26ddjhw4clpd2OPPzwwzp06JB1ups3byo8PDzFZVWtWlUXLlyQs7OzdX4RERGaPn26DMNIc3kzZ87UhQsX9OKLL+qzzz7TBx98YH2WSWoqVaokR0dHBQUFWYddvXpV4eHhcnNzM7fC0uGBBx5Q6dKlFRERYa1HhQoVNGPGDB09elRVq1ZNtb9SvXp1HTlyxHrFnPS/bSJJbm5uNnWRpMDAwCRXA2QGLy8vBQYGWvsZhmFo//798vb2zvRlAZmNIA2kU6FChdS0aVONGDFCQUFBCg4O1siRI3X58uV0nUXt1q2bNm7cqGXLlunkyZOaMmWKzp49aw3QRYoUUVRUlE6ePGnTuGVEYmKiPvroI/388886c+aM1qxZI4vFopo1a+qZZ55RdHS0Jk+erJMnT2rt2rVat26dmjZtKmdnZx07dkxBQUEKCwvT1KlTdfDgQd2+fTvJMl555RUdPnxY06dPV1hYmH7++Wd9/PHHad6//e/pv/zyS23atEkHDx7U+++/rxdeeMHm8j8AQO7WqFEjlStXTmPGjFFISIh+/PFHbdy4UVLa7Yivr6++/fZb/fzzzwoNDdW7776rmJiYFA88N2nSRBUqVNCwYcMUHByswMBAjR07Vvb29nJyckpzeSdOnNCECRN0+PBhnThxQps2bVLt2rXTrGORIkXUtWtXTZo0Sbt379bRo0c1YsQIubq6qmnTppm0Jm317NlT/v7+2rJli8LDw/X+++9r165dcnNzU7Vq1VLtr3Ts2FFxcXGaOHGiTpw4oQULFujvv/+2mffmzZu1aNEihYWFadGiRdq8ebNeffXVTK/Hk08+qZiYGE2cOFEhISGaMmWKoqOj03VJPZDduLQbMOGjjz7SpEmT1Lt3b9nZ2alRo0YaN25cuqb18fHR+PHjNXv2bF29elXt2rVT3bp1rZdaN2zYUG5ubnrmmWf03Xff3VM5W7VqpbfeeksfffSRLl26pEqVKmn69OnWI+MLFizQpEmTtHTpUpUrV06TJ09W3bp1VbNmTR0+fFi9evVSwYIFVb9+fQ0aNEirV69Osozy5ctr/vz5mjZtmr766iu5uLho8ODB1oeppaVjx446e/as/Pz8ZLFY9MQTT2jUqFH3VG8AQM5SoEABLViwQGPHjlWnTp1Us2ZNa6BNqx3p2LGjNSTGxcWpS5cuqlChQoq3KDk4OGju3LmaNGmSunbtKicnJ5u2Ja3l+fn5acKECerZs6csFosaNmyo6dOnp6uew4cPl2EYevPNN2WxWNSoUSN9/fXXKV72fa9ee+01xcbG6v3339eNGzdUq1YtffHFF9aDAqn1V0qUKKEvvvhCfn5+eu6551S/fn09++yz1nl7enpq2rRp+vTTTzVt2jRVrVpVn3zyiRo3bpzp9ShWrJjmz5+v8ePHa/ny5apRo4YWLFhgfS4MkJPZGem54RLAPTtw4ICKFStmc5lXx44d9dprr6lTp07ZWDIAAHKevXv3qmLFitafhIyPj1fDhg01e/ZsPfbYY9lcOgD5HWekgfskMDBQixcv1kcffWR9GNj58+ez7LIvAABysy1btigwMFDvv/++ihYtqm+++UbFihXj/lkAOQJnpIH7JD4+Xh9++KHWr1+vqKgo1apVSyNGjFC9evVMzefy5ctq06ZNquP89ttvNr89eb8NHDhQu3btSvH9YcOGZcm9VgCAvOPmzZuaMGGCfv31V8XFxcnHx0fvvvtukidVZ7XMbNMOHDhg/R3r5BQvXly//fab6TLmRBs3bkz1lq0aNWrohx9+uI8lAjIXQRrIZRISEnTmzJlUx6lYsWKGf4oiM1y6dEmxsbEpvl+qVKlsDfoAAKRXZrZpFotF58+fT/F9e3t7m99ozs2io6MVGRmZ4vsFCxa0XrYP5EYEaQAAAAAATODnrwAAAAAAMIEgDQAAAACACQRpAAAAAABMIEgDAAAAAGACQRoAAAAAABMI0gAAAAAAmECQBgAAAADABII0AAAAAAAmEKQBAAAAADCBIA0AAAAAgAmO2V0AM95bsEsXL8eYmsa1dBFNeKNRFpUIAADcL/QDAAA5Ra4K0hcvx+hcZHR2FwMAAGQD+gEAgJyCS7sBAAAAADCBIA0AAAAAgAkEaQAAAAAATCBIAwAAAABgAkEaAAAAAAATCNIAAAAAAJhAkAYAAAAAwASCNAAAAAAAJhCkAQAAAAAwgSANAAAAAIAJBGkAAAAAAEwgSAMAAAAAYAJBGgAAAAAAEwjSAAAAAACYQJAGAAAAAMAEgjQAAAAAACYQpAEAAAAAMIEgDQAAAACACQRpAAAAAABMIEgDAAAAAGACQToFvXv31qhRo1J8Pz4+XlOnTlXjxo3l4+OjN998U5GRkcmOO3fuXLVq1cpm2LFjx9StWzf5+PioXbt2WrNmTaaWHwAApO3QoUPy9fWVj4+PWrVqpfnz5ysxMTHJeNeuXVPjxo21cuXKZOezZ88e1ahRI9m/P//8U5J08+ZNjRo1SvXq1VPjxo31ySefyDAM6zzWr1+vp556St7e3nrmmWe0bdu2rKk0AOCeEaST8eOPP+r3339PdZxZs2Zp69at8vf317Jly3Tt2jUNHz48yXihoaGaM2eOzTCLxaJ+/fqpZs2aWr16tV5//XWNHj1aQUFBmVoPAACQsmvXrun111+Xu7u7Vq5cqXHjxunLL7/UkiVLkow7efLkFA+YS5KPj4927txp89eyZUt5e3vLx8dHkjRixAgdO3ZM3377raZMmaLvvvtOP/74oyTpzz//1IgRI9S9e3etXr1anTt31uDBg3X48OGsqTwA4J4QpP/j0qVLmjlzpjw9PVMdLzExUe+++64effRRVa9eXd27d7cecf7vOP+dV0hIiM6ePashQ4aoUqVK6ty5s2rUqKE9e/Zken0AAEDyfv31Vzk6Ourdd99V1apV1bJlS/Xq1Utr165NMt6BAwdUqlSpFOdVsGBBubi4WP/++ecf/f777/r444/l6OiokJAQbd++XdOmTVOtWrXUrFkz9ezZ03oQfdWqVWrbtq1efPFFVa5cWd27d9djjz2m9evXZ+k6AABkTJYH6TNnzqhGjRraunWrWrVqJR8fH02dOlVHjx5Vp06d5O3trX79+ikmJkaStHTpUrVu3Vo+Pj56+eWXdeDAAeu84mKu69y+xQrZOF7H149W+G+fKObyCUnS7ZgrOrZuhKLOH9TJbR/q+PoxOrPnC1lu3ZR05wxySpdcnTlzxroMPz8/vfLKK6pSpUqq9Ro6dKhatGghSYqMjNTy5cvVsGFDm3G++eYbFSpUSM8//7zN8BIlSki6c+Y7MTFRgYGBOnHihGrXrm1+BQMAkMNkZtt/6dIlDRkyRPXr19ev37yZrrY/wRItSYo8ukm/LBqYYtvfoEEDzZgxQ/b2/+sO2dnZ6caNG9bXN2/elJ+fnyZOnKgCBQqkq/4JCQn6+OOP1b17d1WqVEmStHv3blWvXl1ubm7W8QYMGKAPPvhAkuTr66sBAwbYzOe/ZQEA5ByO92tBn3/+uebMmaOjR49qxIgR2r59u/z8/OTo6Kh+/fppxYoVKl++vPz9/TVhwgQ9/PDD2rBhg3r06KGNGzeqTJkyOrLjaxmJjqrY6E5DExm8XpcOrlSVFsOsy7kSsk0P+bwsSTr35yKd/meLpOfUu3dvde3aNdmy3T3CvH79ep0+fVr+/v4aPXp0uuo1c+ZMzZs3TyVKlND3339vHX769GnNmzdPy5YtS3KmuXz58nrnnXc0Y8YMTZs2TQkJCRowYIAaN26c7vUJAEBOlxlt/4gRI1SkSBH98MMPGr9glw7/sSLNtv9K6K9yqdVBpao1Vw2fVvp4SLMkZStVqpQcHBxUtmxZ67Bbt25p2bJlat68uXXYxx9/rKZNm6p+/frprvfmzZt17tw59enTxzrs1KlTqlChghYtWqRvv/1WdnZ26tKli15//XXZ2dmpZs2aNvM4fvy4/vjjD82YMSPdywUA3D/3LUj3799fNWvWVM2aNTV58mR17NhRjz/+uCSpQYMGOnHihDZs2KA33nhDbdq0sU6za9cuLV++XAMHDtSDFT2VUNxdBQo7S5KcKzfS2b1f2Dyoo7T7Eypc8s7R3+LlfRQVGS5JKlq0qIoWLZpi+a5cuaLJkydr9uzZ6T7iLEnPP/+82rRpowULFqh3794KCAhQsWLFNHbsWPXp00eVKlVKEqTj4+MVFhamF154QV26dNHhw4c1ZcoU1apVS23btk33sgEAyMkyo+1v2bKl2rZtq7Jly6qo88l0tf23rp2WJNk7OsmpSFG5uLikWdaEhAQNHz5csbGx6t+/vyRp79692r59uwICAkzV+4cfftCzzz6rkiVLWodFR0dr7969SkhI0IwZM3T27Fn5+fmpYMGC6tmzp830ly9f1qBBg1SvXj36BQCQQ923IF2hQgXr/05OTipXrpz1daFChWSxWBQaGqoZM2bI39/f+p7FYtFDDz0kSSpXo6mOHdylK1fCZLkZoVvX//+SbON/T9csUKS09X97RyclJCZIkubNm6f58+cnW7aAgABNnz5dTz75pLy8vEzV6+4l4B999JGaN2+uTZs2KT4+XlFRUerVq1ey06xevVr79+/Xhg0bZG9vLw8PD124cEGffvopDSYAIM/IjLb/5Zdf1vr167V//34F/rJfN/7/AHlqbb+MO23/5ePbFPLzNvksS9rdCQgIsJbHYrFo2LBh2rlzpxYtWiQXFxfdunVLY8eO1bhx41S8ePF01/nKlSvas2eP3nzzTZvhDg4Oun37tqZPn65ixYqpTp06OnfunL7//nubIH3hwgX17t1b9vb2+vTTT20uOwcA5Bz3LUg7OtouKrmGISEhQSNHjlSTJk1shhcpUkSJiYkK2jRLsTE3Vbycl4q6PiIjMUHn931jM66dvYPNa0N3jlh37dpV7du3T7ZsZcqU0bp161SoUCGtWLFC0p1GVZIOHjyY5Eh0YmKitm3bJm9vbz344IOSpMKFC6t8+fK6evWqfvnlFx07dkyPPvqopDtnoG/fvi0fHx8FBATo4MGDqlGjhs06qF27tr744otkywcAQG6UGW1/7969df36dXXo0EGVPNoo8lp02m3//5+sdq7cUNVqP6YP+iW9dapMmTKS7lzOPXDgQP39999auHCh9YD6gQMHFB4erhEjRliniY2N1fjx4/X3339rwoQJydZ5x44devDBB+Xt7Z1kea6uripWrJh1WNWqVXX+/Hnr69OnT6tHjx4qXLiwvvnmG5sz2gCAnOW+Ben0qFq1qi5cuKDKlStbh40fP14NGjRQ9erVdf1iiNzajJVjoQckSdfCdqV73s7OznJ2dk7x/U2bNtm8/vDDD+Xg4JDsb0nb29tr4sSJ6tmzp/Wsc1RUlMLDw1WtWjU99dRTunXrlnX8n3/+WUuWLNHixYtVpkwZlSlTJskTvkNDQ60PJAEAIL9Iq+3/888/tWPHDpUpU0Z/T9miixc3p3veDgWLqMgDRW3m/V/Dhg3TgQMH9NVXX6lOnTrW4XXq1EnSN3j11VfVo0cPderUKcX5BQUF6dFHH5WdnZ3NcB8fH82bN09Xr161BuSQkBCVL19e0p2f4urVq5eKFy+ur776KtUnhAMAsl+OCtK9evXSmDFj5Obmpnr16mnNmjVasWKFunbtqgceeECys1PUuSAVe8hDt66d1uVjdxpTIzH+npf930a2SJEicnR0tDZwFotF169ftz6c5NVXX9W8efNUrVo1PfTQQ5o+fbqqVKmiZs2aJTniXqpUKTk6OlqX8cwzz+jzzz/X5MmT1a1bNwUHB+vzzz/XyJEj77keAADkJmm1/fb29lq/fr2eeOIJXQrbn6lt//r167V582Z9/PHHKlu2rCIiIiTduQy7VKlSSfoG9vb2Kl26tEqXvnMpeXR0tOLi4mxC7/Hjx5P8iockNWzYUO7u7ho+fLhGjhypM2fO6IsvvtCgQYMk3Xl46dWrVzVr1iwlJCRYy1KoUCFTl5YDAO6PHBWkO3TooMuXL+uzzz7TpUuX5ObmptmzZ6tWrVqSJPeGXXUicL0ij/6sgkVd5FL7GV34e5luXT+nAoVLZGnZAgMD1b17d23dulUVKlTQa6+9ptu3b2vcuHG6fv26GjdurLlz56brXqa7T+388MMP9eyzz6pMmTJ6++231blz5yytAwAAOU1abb+fn5/mzJmjTz75RA6FH8zUtv/nn3+WJA0fPtxmuKurq3777bc0p//yyy/1008/adu2bdZhkZGRyV4B5+DgoHnz5mnChAnq0qWLihUrpl69eqlbt27Wsty8eVPPPfeczXRPP/20pk2bZrpuAICsZWf8+7GXOVzfKVt0LjLa1DTlHiyq+aPbZFGJAACAWe8t2KWLl2NMTfOIWykdPnGFfgAAIEfIUWekAQBA3nfxcozpQFymVJEsKg0AAObxmwoAAAAAAJiQ54P0fx6aCQAAAADAPcnzl3a7lCxi+l4s19JFNOGNRllYKgAAAABAbpXng7SUsXuxAAAAAABITp6/tBsAAAAAgMxEkAYAAAAAwASCNAAAAAAAJhCkAQAAAAAwgSANAAAAAIAJBGkAAAAAAEwgSAMAAAAAYAJBGgAAAAAAEwjSAAAAAACYQJAGAAB5lp1ddpcAAJAXOWZ3AQAAALKKS8kiem/BLl28HGNqOtfSRTThjUZZVCoAQG5HkAYAAHnaxcsxOhcZnd3FAADkIVzaDQAAAACACQRpAAAAAABMIEgDAAAAAGACQRoAAAAAABMI0gAAAAAAmECQBgAAAADABII0AAAAAAAmEKQBAAAAADCBIA0AAAAAgAkEaQAAAAAATCBIAwAAAABgAkEaAAAAAAATCNIAAAAAAJhAkAYAAAAAwASCNAAAAAAAJhCkAQAAAAAwgSANAAAAAIAJBGkAAAAAAEwgSAMAAAAAYAJBGgAAAAAAEwjSAAAAAACYQJAGAAAAAMAEgjQAAAAAACYQpAEAAAAAMIEgDQAAAACACQRpAAAAAABMIEgDAAAAAGACQRoAAAAAABMI0gAAAAAAmECQBgAAAADABII0AAAAAAAmEKQBAAAAADCBIA0AAAAAgAkEaQAAAAAATCBIAwAAAABgAkEaAAAAAAATCNIAAAAAAJhAkAYAAPgPO7vsLgEAICdzzO4CAAAA5DQuJYvovQW7dPFyjKnpXEsX0YQ3GmVRqQAAOQVBGgAAIBkXL8foXGR0dhcDAJADcWk3AAAAAAAmEKQBAAAAADCBIA0AAAAAgAkEaQAAAAAATCBIAwAAAABgAkEaAAAAAAATCNIAAAAAAJhAkAYAAAAAwASCNAAAAAAAJhCkAQAAAAAwgSANAAAAAIAJBGkAAAAAAEwgSAMAAAAAYAJBGgAAAAAAEwjSAAAAAACYQJAGAAAAAMAEgjQAAAAAACYQpAEAAAAAMIEgDQAAAACACQRpAAAAAABMIEgDAAAAAGACQRoAAAAAABMI0gAAAAAAmECQBgAAAADABII0AAAAAAAmEKQBAAAAADCBIA0AAAAAgAkEaQAAAAAATCBIAwAAAABgAkEaAAAAAAATCNIAAAAAAJhAkE6GnV12lwAAAAAAkFM5ZncBciKXkkX03oJdung5xtR0rqWLaMIbjbKoVAAAAACAnIAgnYKLl2N0LjI6u4sBAAAAAMhhuLQbAAAAAAATCNIAAAAAAJhAkAYAAMgkPLAUAPIH7pEGAADIJDywFADyB4I0AABAJuKBpQCQ93FpNwAAAAAAJhCkAQAAAAAwgSANAAAAAIAJBGkAAAAAAEwgSAMAAAAAYAJBGgAAAAAAEwjSAAAAAACYQJAGAAAAAMAEgjQAAAAAACYQpAEAAAAAMIEgDQAAAACACQRpAAAAAABMIEgDAAAAAGACQRoAAAAAABMI0gAAAAAAmECQBgAAAADABII0AAAAAAAmEKQBAAAAADCBIA0AAAAAgAkEaQAAAAAATCBIAwAAAABggmN2F8AMy62bOr//O0VHHJO9o5NKVm2ikm7NrO9fCdmmyOCfbaYxfJ5Qea/nZBiJuhj0o25eOCinEuVVtm43OToVkyTFx0Xp7J6FqtRkiOzsHVJc/omtU1S6eiuVqPSYzfDoiOM6u+dzles5W5Lk6+urvXv3Wt93cHDQgw8+qI4dO+qdd95RgQIFtHLlSo0ePdo6jqOjo0qXLq22bdvqrbfeUrFixTK+ogAAyOMSLNG69M+qNPsEx/41jXPVJipT+5l09QnqPDwx1eWn1Ce4GH5Iv66YJvenPpIknd41T7FXTvxvBDt7OToVV/FyXnqwZnvZ2Tvo+um/dGzdMtVYdGcU+gQAkPPlqiB9aNsCWeJuqcJjfZQYH6cLfy+TZK+Sbk0kSXFRF+VcpbFKPdzKOo1HzbK6etNQ9MUjir1yQhUbD1Jk8M+6ErJdZWo/LUm6ErJdJd2apRqizerRo4def/11SVJiYqIOHTqkoUOHqmjRoho0aJAkycXFRT/99JMkyWKxKCQkRJMmTdKxY8e0aNEi2dtzwQAAAMk599fXSky4nWafoGm7Loq8GqOLV2Jl71hAktLVJ7DPxD6Bc9UmKlWtpSTJMBIVd+Oszu//TvaOTirt/oQkqWDhEtq2OUASfQIAyA1yTZD+559/dP1SqKq0GKaCxcpIkh6s1UERh9daG01L1EU5V20ix0LFrdMVKFhYUowsNy+pkHMlORV3VdEyNXTzwiFJUvytG4q9HCqXR57K1PIWLlxYLi4u1teurq56+umntXnzZmuQtre3txmnfPnyqlixonW8du3aZWqZAADIC25dO6PYK2Hp6hMULlpCTnEF5Bjzvy7P/e4T2DsUtO2bFC6hB8r76OaFf6xB2sHBXrN+Oq6Ll2Os47nW7aG9qz5Q5/7T5VLFJ9l5u5YuoglvNMrU8gIA0pZrgvTp06flWLCItcGUJKcHyiohLkq3Y67IsbCzLNERKljMJdnpHQs7K+rc30pMiFfc9bMqUNhZ0p1Lv0q6NZedXdYf6XV0dFSBAgVSHcfNzU2PPvooQRoAgBTcjrki+wKFc3WfQHYOkp1tN+zi5Ridi4z+15BiKlTKTaeO79PtYu5ZXyYAQLrlmuuEHnzwQcXfvqXE+FvWYfGx1yTduU/qdsxVGQm3df3UHp3YOllhv0zTldBfZBiJkqTiZT1l71hIIRveVXTEMZWs1kK3Y68p9spJFS/vnaVlT0hI0N69e7V27Vq1bt06zfEffvhhhYaGZmmZAADIrRyciikxPi5dfYJ1nw/T3p8m5Jg+gWEkKuZyqKLOBarYQ4+kOb5T8TKyRF3M0jIBAMzLNWekvby8VKhoSV08+JNcPZ9Xwu04XT62WZJkJCbIcvOSJMmxUAmVr99L/9fencdFWe1/AP8MIJsIgiCBCwmKGiigAYkrLl01Uy/+uNfr1fKmpmhgLplhIqIGpaJElppbLqm4hIHdbqWmKZlJuISiQCpqioOAyjrAnN8fxOTEoAzbMDOf9+vFH3PmOc+cL2ee55zvM8+cKXlwG9LUL3HF1gI2LgMhMTBCB78glJc+gqFxS0gkBsi++EXl4FmYgzspuyEvL628nct1YI3tuPfrIdxLTVAu/GNgftzmzZuxfft2AEBpaSkMDQ0xatQoTJky5amxWlhYoLCw8KnbERER6SPT1h1hZGpVqznBC2NnI+taOq6e3gcAsHEZVKs5we8ny/Fs778DZs41tkPVnCATotp2uZnHkXft5B/tK4dEYoBW7Txh7VzzfKOKgZEp5OWltfvHEBFRk9GaRNrY2Bhu/lNx4ehmZHy9BAYtTGHbbQRK8rNgYGQKM5tn4fLiEhgatwTwxy1eskJkXjgGG5c/Byojk8rvKJUV56Ek7wbauo/B7TNbYNXBG2Y2z+LmjxtR/kKfGtvRxnUoLBx6KpWV5N3A3XN7lcoCAwMxefJkAECLFi1ga2sLY2PjWsVaWFjIFTqJiIhqYGBoBMfnJ+HOL58/dU7Q2s4OMsM2yLmfiwc3foSNyyDFfp40J/D08sLRuA/w7OBQGBiq/lqWqjlBW5NcnPl6k1KZVUcfWDv3BwBIDAxhZNIKEoPaTcHk5aUwaGFa238NERE1Ea1JpAGgVZuO6OS/oPIKcgszyArvA5DA6I/vNlUl0VWMLdoityBP5b5y04/ApvMgSCQGlYOn22gYW7SFxMAABfl3AUNblfUMjVvCuKXyc2VF1V/D0tISTk5OdYgSuHLlCrp06VKnukRERPrA1Kq92nOC8pKHKvelak7Q2q4jJBIDlBVKYWLpqLKeqjmBmUn1u9QMW5hV2662Sh/egUmrZ+pUl4iIGo/WJNIPHjzAL1+thq3HRMUV5MLsSzCxagfDFqbI++0kHtw8g2cHzlXUKX34O1pZO1TbV1lRLkryb6Ftj4A/SiQQovJWLCGXQ1S/K6vJXL9+HWfPnsXHH3+suUYQERHVQtjGJKVVpmvjOWeber9uhawIt3/eBsfnX1FrTtCiZfXaBgdZAAAgAElEQVTFx544JxCanRPICqQozr0Ga5cBT9+YiIialNYk0lZWVpCXl0F6KRFtXIeh9MFt3L/6HRx6TQAAtGzripy0ryC9/F9YdfRGSf5N5GV+D+9hr1bb1/3072DTebBiVU4Tq/Z4eOsXmFl3BCDQytoeuY8qGj0muVwOqVQKACgrK8OVK1ewcuVK9OnTB/7+/o3++kRERPVRfZXpp2trY17v1zU0NoeokNVqTvDI7m/I/i0NeZnfP5Ys/6mmOcFtKxkg5DC2qNsnyeoSQqC06AHKS4ohRDlKH95BzuWvYG7bGRb2T1+UjIiImpbWJNIA8Nyg13Dx+E7cOBENI1Mr2PccB4tn3ABU3rLVzuc/kF7+L/KvnYSRaSvYdhsJp+59cC/3z6vlssL7KH3wO+x7BirK2rqNwp1fPsfDW2dh3/P/YNTCBIB6V9jrQiqVol+/yt+7NDExgaOjI0aOHImpU6c2+msTERFpM4de/0b2xYNPnRN8s+MUWvwxJ7Bsp/xbzE+aEyTf/QVd+05EmWHt1jepr5LCfPwYFwoAkBgYwcjMGq0cPZS+001ERM2HRAhN3rSknumR36l95dvT1Q73ctW7Yl6XOgDgaNsSG94ZqlYdIiIibdVU4zLr1YxzDyIizdCa35EmIiIiIiIiag6YSBMRERERERGpgYl0A5JINN0CIiIiIiIiamxatdhYc2dnbV6nnwKxb2OOiNf9GqlVRERERERE1JCYSDewuvwUCBEREREREWkP3tpNREREREREpAYm0kRERERERERqYCJNREREREREpAYm0kRERERERERqYCJNREREREREpAYm0kRERERaSiLRdAuIiPQTf/6KiIiISEvZWZsjbGMSsu8XqVXPvo05Il73a6RWERHpPibSRERERFos+34Rfs8p1HQziIj0Cm/tJiIiIiIiIlIDE2kiIiIiIiIiNTCRJiIiIiIiIlKDWom0TCbD4sWL4e3tjb59++LTTz+tcdsDBw5g2LBh6NmzJ8aPH48LFy4onisvL0dMTAwGDx6MXr16YfLkycjMzKx7FHpOJpNh1KhRSEpKUpSlpqZi0qRJ8PLywuDBg7FhwwbI5fIa93H69Gm8/PLL8PDwwKRJk3Djxg0AwK1bt9C1a1eVf/Hx8QCArKwszJgxA97e3hgwYACioqJQWlrauEETEem5d999F5MmTXrqdl9++SX+9a9/KZXVdF7/6KOPAADZ2dl444030Lt3b/Tt2xcrV65EeXl5o8RB2iUxMbHa+2bmzJkAKt83M2fOhKenJwYNGoRdu3bVap+ffPIJ5s+fr1QmhMBHH32EAQMGwNvbGyEhIcjJyVE8X1RUhCVLlsDPzw9+fn6Ijo5GRUVFwwVKRPQUaiXSH3zwAc6dO4etW7di6dKl+OSTT3D48OFq2506dQpLly7FnDlzkJiYCA8PD0ybNg0FBQUAgI0bN+LAgQOIiIjA/v378cwzz2Dq1KkoKlJvxUkCSktLMXfuXKSnpyvK8vPzMW3aNLi6uuLgwYNYvHgxtmzZUuOAdufOHQQFBWH06NE4cOAAbG1tMXPmTMjlcjg4OODkyZNKf//617/QoUMHDB06FDKZDDNmzICxsTH27NmDVatW4bvvvsOaNWua6l9ARKR3fvzxR+zbt++p250+fRphYWHVyv96Xp87dy6srKwQEBAAAHjzzTchk8kQFxeHtWvXIjEx8YkXz0l/pKenY9iwYUrvn6ioKMjlcgQFBaG0tBQHDhzA/PnzERkZiVOnTj1xf4mJiYiNja1WvnfvXuzduxcrV67Erl27kJOTg9DQUMXzYWFhOHnyJNasWYP169fj2LFjeP/99xs8XiKimtQ6kS4qKkJcXBzeeecduLu7Y+jQoZg6dSp27txZbducnBwEBwdj5MiR6NixI4KDg5Gfn4+rV68CAL744gvMnDkT/fr1g7OzMyIiIpCfn4+zZ882XGR6ICMjA//4xz+QlZWlVH78+HEYGRlh0aJF6NSpE/z9/fGf//wHCQkJKvcTFxeHbt26Ydq0aejcuTPee+893LlzB6dPn4ahoSHs7OwUfzk5Odi3bx+ioqJgYWGBCxcuICsrC5GRkXBxcYGPjw9mz55d42sREVH9FBUVYfHixejVq9cTt/voo48wbdo0dOjQodpzj5/X5XI5NmzYgEWLFsHR0REFBQVwcHBAeHg4XFxc4O3tjeHDh+Pnn39urJBIi2RmZqJr165K7yFLS0v88MMPuH79OlavXg0XFxeMGjUKAQEBSElJUbmf8vJyLFmyBKGhoSrfo8ePH8fw4cPh6+sLV1dXTJ06FadPnwYA5OXlISEhAeHh4fD19UXPnj2xbNkyfP755ygs5OrlRNQ0ap1Ip6WlQSaToXfv3oqy3r174+LFi9VupRkzZgymTZsGACgpKcG2bdvQpk0buLq6AgAiIiIwdOjQPxthYAAhBB49elSvYLSVRFK3emfOnIGvry/27t2rVO7j44Po6GgYGPzZvRKJBA8fPlS5n/Pnz8Pb21vx2MzMDG5ubioHv1WrVmHYsGF4/vnnAQDOzs7YuHEjWrZsWavXIiKi+lmzZg18fHzg4+PzxO1OnTqFzZs348UXX3ziduvWrUPnzp0xevRoAICFhQWio6Ph6OgIoPITyKNHj+KFF15omABIq2VkZKBTp07Vyk+fPg1fX1+0bt1aURYREYE33nhD5X6Kiopw5coVxMXFwcvLq9rzrVu3xokTJ3D37l2UlJTg8OHDcHNzAwDcvHkTAJTqdevWDWVlZfj111/rFR8RUW3V+nekpVIprKysYGJioiiztbVFWVkZ7t+/j7Zt21ar88MPPygS6lWrVsHCwgIA0KdPH6Xt9u3bh/LyckVypm/srM0RtjEJ2ffVu7Xdvs2ziAidUK3cwcEBDg4OisclJSWIi4vDwIEDVe5HKpVW6782bdogOztbqezixYs4deoUEhMTFWU2Njbw8/NTPJbL5di5c6dSGRERNYyUlBR8/fXXSExMxJYtW5647e7duwEAP/30U43b3Lt3DwcPHsS6desgUXFVd/z48UhJSYGbmxsmTpxYv8ZTs1KXi/gymQw3b97EsWPHEBMTAyEEhg8fjpCQEGRlZcHR0RFr1qxBfHw8LCwsMHnyZAQGBqrcl6WlJfbs2VPja82aNQtBQUEYOHAgDA0NYWtrq9je1tYWAHD37l107twZAHD79m0AlZ9WExE1hVon0sXFxTA2NlYqq3osk8lU1unWrRu++OILHDlyBAsXLkT79u3h6emptE1ycjLef/99vP7667C3t1e3/Toj+34Rfs9p+NuRKioq8NZbb6G4uBhBQUEqt6mpb//ar3v27EG/fv0Ug5YqkZGRuHz5Mvbv31//xhMRkYJMJsOiRYsQGhoKKyurBtnn/v370bFjRwwYMEDl8+Hh4cjLy8Py5csxd+5crF+/vkFelzSvLhfxC/N+R3l5OczNzREbG4usrCysWLEChYWFKCwsxKFDh/Diiy9i3bp1uHTpEiIiImBtba10F2Jt3b17FyYmJli3bh3s7Ozw4YcfIiQkBJ9//jkcHR3h5eWF5cuXIzo6GoaGhoiKioKRkRHKysrUfi0iorqodSJtYmJSLbGqemxmZqayTtV3Z7p3746UlBTs2bNHKZH+6aefEBQUBH9/fwQHB9el/fQEMpkM8+fPx8mTJ7Ft2zbY2dmp3K6mvn389qyKigp88803WLJkicp9CCGwYsUK7N69GzExMejSpUvDBUJERFi3bh2cnJwwYsSIBtvnf//7X4wZM0blp9FA5QVxAFixYgX++c9/4tatW2jfvn2DvT5plvoX8a3Qd/z7WLZ0LIDK94cQAvPmzcPzzz8PS0tLLFu2DIaGhnB3d0daWhp2796tdiIthMCCBQvw5ptvKuquXbsWAwcOxNGjRzF8+HCsXLkSc+bMgZ+fH8zMzDBz5kykpqYq7n4kImpstU6k7e3t8fDhQ8hkMsWnl1KpFMbGxtWujKekpMDMzEwxAANA586dcf36dcXj48ePIzg4GEOGDMHKlStrHMSpbkpKSjBr1iycO3cOmzZtgoeHR43b2tvbQyqVKpXl5OQoJcMpKSkoLi7GoEGDqtWXy+VYtGgREhISsGbNmjpdeSYioidLSEiAVCpVfC+0rKwMFRUV8PLyqnFBpye5e/curl69imHDhimV5+fnIykpCSNHjlSUVd2JlJeXx0Raz7UwVU5UXVxcUFZWBgcHB0gkEhgaGiqe69SpE3788Ue1XyM3Nxe3b99Wmke2atUKTk5Oiu9Hd+jQAfv370dubi7Mzc0hl8uxatUqtGvXro6RERGpp9aLjXXv3h0tWrRQGqyTk5Ph5uYGIyPlfHzXrl1Yu3atUllqaiqcnZ0BVC5uFRwcjOHDh2PVqlXV6lP9zZ8/HxcuXMDWrVuVFohTxcPDA7/88ovicXFxMS5duqR098D58+fx3HPPqbzSGxUVhYSEBMTGxj51URsiIqqbHTt2IDExEfHx8YiPj0dgYCDc3d0RHx9fp/2dO3cOtra2irG5yoMHDzBnzhykpqYqyn799VcYGhqqXGSK9MejOxdxas9CpbvYLl26BEtLS3h5eeHq1atKt1ZnZGTUKbG1srKCsbExMjIyFGUlJSW4ffs2OnbsCCEEpkyZgsuXL8PGxgampqY4duwYbG1tn/j1MyKihlTrRNrMzAxjx47F0qVLceHCBRw5cgRbtmzBK6+8AqDy0+mSkhIAwIQJE3DixAns3LkT169fx5o1a5CamorJkydDCIHQ0FB07twZ8+bNQ25uLqRSqVJ9qp+vvvoK3377LRYvXgwHBwfF/zc3NxdA5W3aUqlUMRCOGzcO58+fxyeffIKMjAzFT6A8vihcenq6ysHp3Llz+OyzzxASEgJ3d3fFa/31E24iIqqfdu3awcnJSfFnaWkJU1NTODk5VTuv10ZN53UnJyf0798fYWFhuHz5Ms6cOYOwsDBMnDiRt83qOfM2zgAEwsLCcO3aNXz//ff44IMPMGXKFIwcORJGRkZ49913ce3aNRw6dAgHDx7EhAmVi6LKZDJIpdJqv/SiipGREQIDA7Fy5Ur8+OOPyMzMRGhoKKytreHv7w+JRAIzMzOsXLkSv/32G5KSkhAREYGgoCClXywhImpMan0U/M477yA8PByvvvoqWrZsiVmzZilu/erXrx8iIyMREBCAXr16ISYmBmvXrsX777+Prl27YvPmzbC3t8fVq1cVVxj/urjJ8uXLa1zdkWrv66+/BgC89dZbSuX29vY4ceIE7ty5gyFDhmD79u3w9fVF+/btERsbi8jISKxfvx4eHh74+OOPlQajv97qXeV///sfAGD16tVYvXq10nOpqam824CIqAn89bxeGzk5OTUuWrZq1Sq89957mDx5MiQSCcaMGYN58+Y1ZJNJCxkat8Sg/5uPU8f34FDCaBgZm8HRtR9+yXVBSuxpdOzzOr4/vReHvhwFE3MrdHo+EHt/kuP7jCS85GGIV155BUeOHKnV1wPefvttmJubIzQ0FAUFBejduze2bt2q+HpheHg4wsLCMG7cOLRu3RpBQUFcWZ6ImpRECCE03Yjamh75ndorW3u62uFernqLadSljibqOdq2xIZ3+H1kIiLSjKYal1lPu+txvkJEuoj3vxARERERERGpgYm0FuNC50RERERERE2PX2DVYnbW5gjbmITs+0Vq1bNvY46I1/0aqVVEREREf+KFfyLSRUyktVz2ffW/30RERETUVHjhn4h0ERNpIiIiImpUvPBPRLqG35EmIiIiIiIiUgMTaSIiIiIiIiI1MJHWQ1z0g4iIiJo7zleIqDmTCCGEphtR5dixY5g5cybS0tI03ZRmzcKmPdwHT8fQoYNxL1f97xx5utpBIoHai348Y2uOpdO46AcRkb7iOK2/6jP38HS143yFiHROs0qkXV1dkZ6erulmaIWWrR0xJ2pfnQemphrQuOImEZHu4Dit3+o696jPvIMJOBE1V1y1m9Si7qqbvC2LiIiImlpdVglva1O3n+l6ztkG9x+U8Oe9iPRMs0qkN2zYgFmzZuHy5cuabkqzVnV7lTao629H8qowEVHzw3Faf2nT3KM+6pqA1+WTc37YQKTdmlUi7e/vj0uXLtX4/PTI75rktiBN3IJUl3raoimvCjMBJyJqPH8dp5tqXGa95lOPGg4/bCDSbvVKpOVyOR4+fNhQbXkqeysJDIWhWnWszeWQVKhXry51WK/hXyv/USkMRYla9axMTfHhriTkPSpVq17HZ1rhUaGsyepZtzLBKy89p1YdANh++FKTvRYRNS5LS0sYGDTuj2c09jjdVOMy62l3PW1oo6bq6fJcp6nnSEDd5kmaaCdph6eN0/VabCw/Px8xMTF1rU5ERKS3Zs+ejdatWzfqa3CcJiIiqpunjdP1SqQb+kp3TEwMZs+e3WD70xb6GDdj1h/6GLc+xgzoZ9z1ibk5fiKtb32ob/EC+hcz49VtjFf3aTLmp43T9bq128DAoMGvpjf21fnmSh/jZsz6Qx/j1seYAf2MuznHXJdxujnH0xj0LV5A/2JmvLqN8eq+5hqzYXh4eLimG/G4Z599VtNN0Ah9jJsx6w99jFsfYwb0M25di1nX4nkafYsX0L+YGa9uY7y6r7nGXK9bu4mIiIiIiIj0TeN+OYuIiIiIiIhIxzCRJiIiIiIiIlIDE2kiIiIiIiIiNTCRJiIiIiIiIlIDE2kiIiIiIiIiNTSLRFomk2Hx4sXw9vZG37598emnn2q6SY1GJpNh1KhRSEpKUpTl5+cjJCQEvXr1wuDBg/HFF19osIUNKysrCzNmzIC3tzcGDBiAqKgolJaWAgBu376N1157DZ6enhgxYgSOHz+u4dY2jMzMTEyePBleXl7w9/fHpk2bFM/pasyPe/fddzFp0iTF47S0NPzzn/+Eh4cHAgICcOHCBQ22rmElJiaia9euSn8zZ84EoNt9XVZWhsjISPj6+sLX1xdLliyBTCYDoJtxHzx4sFo/V/39/vvvOhGzro/DTxqLwsLCqvXrtm3bNNvgetK3c9PTjlFd6uO6zCO1eRxWFW9qaiomTZoELy8vDB48GBs2bIBcLlc8P2XKlGr9/d1332mi+WpTFe+GDRuqxbNixQrF89rcv0D1mGNjY1Uey926dVPUaTZ9LJqBZcuWiVGjRomLFy+Kb7/9Vnh5eYnExERNN6vBlZSUiFmzZglXV1dx6tQpRfn06dPFpEmTRFpamti3b59wd3cXycnJGmxpwygtLRUjRowQwcHBIiMjQ/z0009iyJAhIjIyUsjlcjF69GgxZ84ckZ6eLjZs2CB69uwpsrKyNN3sepHJZMLf318sXLhQXL9+XRw9elR4eXmJQ4cO6WzMj0tKShKurq5i4sSJQgghCgsLRd++fcWKFStERkaGWL58uXjhhRfEo0ePNNzShhEdHS1mzZol7t27p/h78OCBzvf18uXLhb+/vzh79qxITk4W/v7+Ijo6WmfjLi4uVurju3fvirFjx4rg4GCdiVmXx+EnjUVCCDF+/HixadMmpT4uKirScKvrR9/OTU86RoXQnT6uyzxSm8dhVfHm5eWJPn36iIiICPHbb7+Jo0ePCh8fH7F9+3ZFvf79+4vDhw8r9Xdpaammwqi1mvp33rx5YtmyZUrxVPWfNvevEKpjLigoUIo1KytLDBgwQERFRSnqNZc+1ngiXVhYKHr06KH0hlm3bp0YP368BlvV8NLT08Xo0aPFyy+/rPRmuXHjhnB1dRXXr19XbBsaGirmzZunqaY2mJ9//lm4ubmJgoICRdmXX34p/Pz8RFJSkujRo4fSgf7qq6+K6OhoTTS1wdy8eVPMnj1bFBcXK8pmzZol3n33XZ2NuUphYaEYMmSIGD9+vCKR3rdvnxg0aJCoqKgQQgghl8vFsGHDRFxcnCab2mBmzZolPvzww2rlutzXDx48EG5ubuLkyZOKsgMHDogpU6bodNyP27Fjh/D19RX5+fk6EbOuj8NPGouEEMLHx0ecPn1aU81rFPp4bnrc48eoELrRx3WdR2rrOFxTvPHx8aJ///6KeIQQ4pNPPhGBgYFCCCEePXokXF1dxc2bNzXS7rqqKV4hhBg7dqw4cOCAynra2r9CPDnmx0VFRYkRI0YImUwmhGhefazxW7vT0tIgk8nQu3dvRVnv3r1x8eJFVFRUaLBlDevMmTPw9fXF3r17lcrPnz8POzs7ODk5Kcp69+6Nc+fONXUTG5yzszM2btyIli1bKsokEgkePnyI8+fP47nnnoOFhYXiOV2Iu3379li7di1MTU0hhEBycjJ+/vln9OnTR2djrrJmzRr4+PjAx8dHUXb+/Hn06tULBgaVpxqJRIJevXohJSVFU81sUBkZGejUqVO1cl3u6+TkZJiZmcHPz09RFhAQgE2bNul03FUKCgrw0UcfISQkBFZWVjoRs66Pw08ai6RSKfLz81Uex9pMH89NVf56jOpKH9d1Hqmt43BN8fr4+CA6OloRD/Dn8QxUvvdNTEzg6OjYpO2tr5rilcvluHbtWo3vX23tX6DmmB9369Yt7NixA2+//TZatGgBoHn1sZGmGyCVSmFlZQUTExNFma2tLcrKynD//n20bdtWg61rOBMmTFBZLpVKq8XYpk0b3L17tyma1ahsbGyUJttyuRw7d+6En5+fTsddZcCAAbh37x78/f3xt7/9De+9957OxpySkoKvv/4aiYmJ2LJli6JcKpVWO/m3adMGaWlpTd3EBieTyXDz5k0cO3YMMTExEEJg+PDhCAkJ0en3d1ZWFhwdHZGYmIj169ejqKgIw4cPx5w5c3Q67ip79+6FsbExAgMDAejGOVzXx+EnjUUZGRkwMjJCTEwMTpw4AWtra0yePBkBAQEabHH96Ou5qcpfj1Fd6eO6ziO1dRyuKV4HBwc4ODgoHpeUlCAuLg4DBw4EUNnflpaWmDNnDpKTk/HMM88gODhY8XxzVVO8t2/fRnFxMeLi4jB37lyYmppi3LhxeO2112BgYKC1/QvUHPPjtmzZgu7duyv1X3PqY40n0sXFxTA2NlYqq3pctXiNLqsp/rKyMgghIJFINNSyhhcZGYnLly9j//792Lp1q+LKUpWquHXFxx9/jHv37iE8PByRkZEoLi7WyZhlMhkWLVqE0NBQWFlZKT1X0/tbF47tGzduoLy8HObm5oiNjUVWVhZWrFiBwsJClJaW6mRfA0BhYSFu3bqFnTt3YunSpSgsLMTSpUtRXl6us+/xKkII7N27FxMnTlTEqQsx69s4/PhYdObMGQBAt27dMGnSJJw5cwZhYWEwMzPDiBEjNNzSutHXcxOg+hj97bffAOhWHz/uafNIXR6HKyoq8NZbb6G4uBhBQUEAKhd8LSwsxODBgxEUFIRvv/0WM2bMwJ49e+Dh4aHhFqsvMzMTAGBvb4/169fj0qVLioXGpk6dqtP9W1RUhEOHDmHZsmVK5c2pjzWeSJuYmFTr7KrHZmZmmmhSk6opflNTU51JooUQWLFiBXbv3o2YmBh06dIFJiYmKCgoUNquKm5d0aNHDwCVV0vffvttjBs3TidjXrduHZycnFROSJ70/tZ2Xbp0wenTp2FtbQ2gcpImhMC8efMQGBiok30NAEZGRigoKMDKlSvRsWNHAMCCBQuwYMEC/P3vf9fZuIHKlWKzsrIwZswYRZkunMv0ZRxWNRZ17twZL730Elq3bg2g8ji+ceMGdu/erbVJlr6emwDVx+iECRN0ro8f97R5pK6OwzKZDPPnz8fJkyexbds22NnZAQDmz5+PoKAgWFpaAqjs79TUVK1NpAcNGqR0PHft2hV5eXnYtWsXpk6dqrP9CwA//PADhBAYOnSoUnlz6mONf0fa3t4eDx8+VHoTSKVSGBsbV/t0SxfZ29sjJydHqSwnJ0dxQtB2crkcoaGh2LNnD9asWaM4GOzt7SGVSpW21YW4s7OzceTIEaUyFxcXlJWVwc7OTidjTkhIwMmTJ+Hl5QUvLy9s3rwZZ8+ehZeXl872c5Wqga1KVV+3bdtWZ+Nu27YtjIyMFEk0AHTq1AmlpaU6+x6vcuLECXh4eMDe3l5RpgvvcX0Yh2saiyQSiSLBquLs7Izs7GxNNLPB6OO5CVB9jOpqH1d52jxSF85Rf1VSUoKgoCCcOnUKmzZtUkqeDA0NFQlWFWdnZ9y7d6+pm9lgVB3PVfHoYv9WOXHiBAYNGlTtE/fm1McaT6S7d++OFi1aKH0pPjk5GW5ubjAy0vgH5o3O09MT2dnZuHXrlqIsOTlZK6+aqRIVFYWEhATExsbixRdfVJR7eHggLS0NRUVFirLk5GR4enpqopkNJjMzE8HBwbh//76iLDU1FTY2Nujdu7dOxrxjxw4kJiYiPj4e8fHxCAwMhLu7O+Lj4+Hh4YGUlBQIIQBUfiL0yy+/aH3MAPDNN9/Az89PKfm4dOkSLC0t4enpqZN9DVSes8rLy3HlyhVFWWZmJlq2bKnTcQOVi7p4e3srlenCuUwfxuGaxqKoqChMnz5dadvLly/D2dm5qZvYYPT13ASoPkZ1sY8f97R5pC6Ow/Pnz8eFCxewdetWpUUSASAkJATh4eFKZZcvX9baxeY+++wzvPzyy0plly5dUsSji/1bRdXxDDSvPtZ4Im1mZoaxY8di6dKluHDhAo4cOYItW7bglVde0XTTmkSHDh3Qr18/vP3220hLS8OBAweQkJCAiRMnarpp9Xbu3Dl89tlnCAkJgbu7O6RSqeLPx8cHjo6OWLhwIdLT07Fx40acP39esTiItvL29oaLiwsWLlyIzMxMHDt2DKtXr8aMGTN0NuZ27drByclJ8WdpaQlTU1M4OTlh+PDhKCoqwrJly5CRkYHIyEgUFhZi5MiRmm52vXl7e0MIgbCwMFy7dg3ff/89PvjgA0yZMkVn+xoAnraCh2IAAAKKSURBVH32WQwZMgTvvPMOfv31V5w9exarVq3CP/7xD/Tp00dn4waA9PR0dO7cWalMF/pa18fhJ41F/v7+OHHiBLZv346srCzs3LkT8fHxmDJliqabXWf6em4CVB+jutjHj3vaPFLXxuGvvvoK3377LRYvXgwHBwfFsZybmwsAGDx4sOJ/cP36dXz44YdITk7W2vNZ//79cePGDaxevRo3btxAQkICPv30U0ybNg2A7vVvlfLycly7dg1dunSp9lyz6uOm/bUt1YqKisSCBQuEp6en6Nu3r9i8ebOmm9So/vpbaTk5OWL69OmiR48ewt/fX8THx2uwdQ0nKipKuLq6qvwrKysT169fF//+97+Fu7u7GDlypPjhhx803eQG8fvvv4vp06cLLy8v0a9fP7F+/Xohl8uFEEJnY35cdHS04nekhRDi/PnzYuzYscLd3V2MGzdOXLx4UYOta1ipqali4sSJwtPTU/Tr10/ExsbqRV8/evRILFy4UPTq1Uv4+PiI9957T5SWlgohdDvuHj16iGPHjlUr14WYdXkcftpYdPjwYfHSSy8Jd3d3MWLECPG///1P002uN309N9V0jOpaH6s7j9T2cfjxeIODg1Uey/3791dsv2PHDjF06FDh7u4uAgICxJkzZzTV9Dr5a/8mJSWJgIAA0bNnTzF48GCxa9cupe21vX+FqB6zVCoVrq6u4urVqyq3by59LBHij3sBiIiIiIiIiOipNH5rNxEREREREZE2YSJNREREREREpAYm0kRERERERERqYCJNREREREREpAYm0kRERERERERqYCJNREREREREpAYm0kRERERERERqYCJNREREREREpAYm0kRERERERERq+H/FCiboaEquJwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.plot_posterior(model.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\", \"degrees_of_freedom\"], \n", " figsize = [14, 8]);" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2018-10-10T21:13:20.295447Z", "start_time": "2018-10-10T21:13:20.281765Z" }, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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ParameterPredicted Mean ValueTrue value
0signal_variance4.3481701.0
1noise_variance14.3690543.0
2length_scale6.1820082.0
3degrees_of_freedom24.7621673.0
\n", "
" ], "text/plain": [ " Parameter Predicted Mean Value True value\n", "0 signal_variance 4.348170 1.0\n", "1 noise_variance 14.369054 3.0\n", "2 length_scale 6.182008 2.0\n", "3 degrees_of_freedom 24.762167 3.0" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# collect the results into a pandas dataframe to display\n", "# \"mp\" stands for marginal posterior\n", "pd.DataFrame({\"Parameter\": [\"signal_variance\", \"noise_variance\", \"length_scale\", \"degrees_of_freedom\"],\n", " \"Predicted Mean Value\": [float(model.trace[\"length_scale\"].mean(axis=0)),\n", " float(model.trace[\"signal_variance\"].mean(axis=0)), \n", " float(model.trace[\"noise_variance\"].mean(axis=0)),\n", " float(model.trace[\"degrees_of_freedom\"].mean(axis=0))],\n", " \"True value\": [length_scale_true, signal_variance_true, \n", " noise_variance_true, degrees_of_freedom_true]})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Step 6: Use the model for prediction" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2018-08-20T13:14:05.568230Z", "start_time": "2018-08-20T13:13:57.198803Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 2000/2000 [00:08<00:00, 247.33it/s]\n" ] } ], "source": [ "y_predict1 = model.predict(X_test)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2018-08-15T12:12:52.487192Z", "start_time": "2018-08-15T12:12:52.481872Z" } }, "outputs": [ { "data": { "text/plain": [ "array([0.52060618, 0.20859641, 0.32341845, 0.71517795, 0.12535947,\n", " 0.10130519, 0.13356278, 0.48476055, 0.33239652, 0.05354277,\n", " 0.3221012 , 0.27747592, 0.33224296, 0.16754793, 0.70514462,\n", " 0.37293254, 0.38020924, 0.65038549, 0.34252208, 0.38382534,\n", " 0.15502318, 0.37618247, 0.58213956, 0.63244638, 0.27682323,\n", " 0.17309081, 0.11088147, 0.38385589, 0.05206571, 0.33370627,\n", " 0.0590494 , 0.21805391, 0.24068462, 0.14248978, 0.16113507,\n", " 0.6395228 , 0.13902426, 0.29770677, 0.24498306, 0.18377858,\n", " 0.12288624, 0.35066241, 0.25833606, 0.70100999, 0.66802676])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_predict1" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2018-06-18T20:25:45.091170Z", "start_time": "2018-06-18T20:25:45.088562Z" } }, "outputs": [], "source": [ "model.score(X_test, y_test)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "model.save('pickle_jar/spr')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Use already trained model for prediction" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 2000/2000 [00:01<00:00, 1201.17it/s]\n" ] }, { "data": { "text/plain": [ "-0.09713232621579238" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_new = StudentsTProcessRegressor()\n", "model_new.load('pickle_jar/spr')\n", "model_new.score(X_test, y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multiple Features" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "num_pred = 2\n", "X = np.random.randn(1000, num_pred)\n", "noise = 2 * np.random.randn(1000,)\n", "Y = X.dot(np.array([4, 5])) + 3 + noise" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "y = np.squeeze(Y)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "model_big = StudentsTProcessRegressor()" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Average Loss = 6,129.9: 100%|██████████| 1000/1000 [03:13<00:00, 5.16it/s]\n", "Finished [100%]: Average Loss = 6,118.9\n" ] }, { "data": { "text/plain": [ "StudentsTProcessRegression()" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_big.fit(X, y, inference_args={\"n\" : 1000})" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5
signal_variance__07.0293734.7393980.0492850.96897716.254415
noise_variance__07.1639997.3958690.0759560.33711820.242566
length_scale__0_02.4513221.9837140.0228890.2565006.175940
length_scale__0_12.4668942.0099420.0219300.1966106.184087
degrees_of_freedom__019.62208815.7189340.1476472.39057249.401395
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5\n", "signal_variance__0 7.029373 4.739398 0.049285 0.968977 16.254415\n", "noise_variance__0 7.163999 7.395869 0.075956 0.337118 20.242566\n", "length_scale__0_0 2.451322 1.983714 0.022889 0.256500 6.175940\n", "length_scale__0_1 2.466894 2.009942 0.021930 0.196610 6.184087\n", "degrees_of_freedom__0 19.622088 15.718934 0.147647 2.390572 49.401395" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(model_big.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\", \"degrees_of_freedom\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## MCMC" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Perform inference" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [f_rotated_, degrees_of_freedom_log__, noise_variance_log__, signal_variance_log__, length_scale_log__]\n", "100%|██████████| 2500/2500 [03:33<00:00, 11.70it/s]\n" ] }, { "data": { "text/plain": [ "StudentsTProcessRegression()" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model2 = StudentsTProcessRegressor()\n", "model2.fit(X_train, y_train, inference_type='nuts')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Diagnose convergence" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(model2.trace, lines = {\"signal_variance\": signal_variance_true, \n", " \"noise_variance\": noise_variance_true, \n", " \"length_scale\": length_scale_true, \n", " \"degrees_of_freedom\": degrees_of_freedom_true}, \n", " varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\", \"degrees_of_freedom\"]);" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'degrees_of_freedom': array([1.00019487]),\n", " 'length_scale': array([[1.00008203]]),\n", " 'noise_variance': array([0.99986753]),\n", " 'signal_variance': array([0.99999439])}" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.gelman_rubin(model2.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\", \"degrees_of_freedom\"])" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.energyplot(SPR2.trace);" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.forestplot(model2.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\", \"degrees_of_freedom\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Criticize the model" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
signal_variance__010.9292383.1444990.0432564.62890816.9186024343.9132630.999994
length_scale__0_01.9978091.3975440.0128270.0610454.76301211392.9197871.000082
noise_variance__036.850186793.3679469.4740220.00053463.3328927491.2124530.999868
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 \\\n", "signal_variance__0 10.929238 3.144499 0.043256 4.628908 16.918602 \n", "length_scale__0_0 1.997809 1.397544 0.012827 0.061045 4.763012 \n", "noise_variance__0 36.850186 793.367946 9.474022 0.000534 63.332892 \n", "\n", " n_eff Rhat \n", "signal_variance__0 4343.913263 0.999994 \n", "length_scale__0_0 11392.919787 1.000082 \n", "noise_variance__0 7491.212453 0.999868 " ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(model2.trace, varnames=[\"signal_variance\", \"length_scale\", \"noise_variance\"])" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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ParameterPredicted Mean ValueTrue value
0signal_variance1.9978091.0
1noise_variance10.9292383.0
2length_scale36.8501862.0
3degrees_of_freedom15.5094393.0
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" ], "text/plain": [ " Parameter Predicted Mean Value True value\n", "0 signal_variance 1.997809 1.0\n", "1 noise_variance 10.929238 3.0\n", "2 length_scale 36.850186 2.0\n", "3 degrees_of_freedom 15.509439 3.0" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# collect the results into a pandas dataframe to display\n", "# \"mp\" stands for marginal posterior\n", "pd.DataFrame({\"Parameter\": [\"signal_variance\", \"noise_variance\", \"length_scale\", \"degrees_of_freedom\"],\n", " \"Predicted Mean Value\": [float(model2.trace[\"length_scale\"].mean(axis=0)),\n", " float(model2.trace[\"signal_variance\"].mean(axis=0)), \n", " float(model2.trace[\"noise_variance\"].mean(axis=0)),\n", " float(model2.trace[\"degrees_of_freedom\"].mean(axis=0))],\n", " \"True value\": [length_scale_true, signal_variance_true, \n", " noise_variance_true, degrees_of_freedom_true]})" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.plot_posterior(model2.trace, varnames=[\"signal_variance\", \"noise_variance\", \"length_scale\", \"degrees_of_freedom\"], \n", " figsize = [14, 8]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Use the model for prediction" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 2000/2000 [00:01<00:00, 1174.91it/s]\n" ] } ], "source": [ "y_predict2 = model2.predict(X_test)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1.67834026, 1.64158368, 1.53728732, 1.56489496, 1.48686425,\n", " 1.48626043, 1.57801849, 1.5609818 , 1.57435388, 1.76800657,\n", " 1.56198154, 1.49355969, 1.72304612, 1.53818178, 1.68932836,\n", " 1.6059991 , 1.62152421, 1.50726857, 1.92453348, 1.61906672,\n", " 1.4703559 , 1.49874483, 1.63398678, 1.72795675, 1.62348916,\n", " 1.65877512, 1.78012082, 1.65401634, 1.47100635, 1.51878226,\n", " 1.53634253, 1.66642193, 1.5899548 , 1.62872435, 1.66256587,\n", " 1.67191658, 1.45945213, 1.43421284, 1.52586924, 1.56299994,\n", " 1.79883016, 1.6769178 , 1.52190602, 1.58302155, 1.44959024,\n", " 1.66465733, 1.5804623 , 1.62288222, 1.53714604, 1.80406125])" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_predict2" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 2000/2000 [00:01<00:00, 1254.66it/s]\n" ] }, { "data": { "text/plain": [ "-0.0069721816446493" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model2.score(X_test, y_test)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 2000/2000 [00:01<00:00, 1104.45it/s]\n" ] }, { "data": { "text/plain": [ "0.0038373353227000306" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model2.save('pickle_jar/spr2')\n", "model2_new = StudentsTProcessRegressor()\n", "model2_new.load('pickle_jar/spr2')\n", "model2_new.score(X_test, y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compare models" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the results\n", "fig, ax = plt.subplots()\n", "\n", "# plot the samples of the gp posterior\n", "plt.plot(X_test, y_predict1, \"r\", lw=3, label=\"Predicted Mean Function\")\n", "\n", "plt.plot(X_train, f_true[100:], \"dodgerblue\", lw=3, label=\"True f\");\n", "plt.plot(X_test, y_test, 'ok', ms=3, alpha=0.5, label=\"Observed Test Data\");\n", "plt.xlabel(\"X\") \n", "plt.ylabel(\"True f(x)\");\n", "plt.title(\"ADVI: Conditional distribution of f_*, given f\");\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the results\n", "fig, ax = plt.subplots()\n", "\n", "# plot the samples of the gp posterior\n", "plt.plot(X_test, y_predict2, \"r\", lw=3, label=\"Predicted Mean Function\")\n", "\n", "plt.plot(X_train, f_true[100:], \"dodgerblue\", lw=3, label=\"True f\");\n", "plt.plot(X_test, y_test, 'ok', ms=3, alpha=0.5, label=\"Observed Test Data\");\n", "plt.xlabel(\"X\") \n", "plt.ylabel(\"True f(x)\");\n", "plt.title(\"NUTS: Conditional distribution of f_*, given f\");\n", "plt.legend();" ] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:pmlearn]", "language": "python", "name": "conda-env-pmlearn-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.6" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "227.2px" }, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }