{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Information geometry" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lead author: Alice Le Brigant.\n", "\n", "Disclaimer: this notebook requires the use of the ```numpy``` backend.\n", "\n", "## Table of contents:\n", "* [Introduction](#sec1)\n", "* [Geometry of normal distributions](#sec2)\n", "* [Geometry of beta distributions](#sec3)\n", "* [Learning on spaces of distributions](#sec4)\n", " - [Fréchet mean of beta distributions](#sec4.1)\n", " - [K-Means clustering of normal distributions](#sec4.2)\n", " - [Principal Geodesic Analysis of normal distributions](#sec4.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction \n", "\n", "Information geometry is a branch of mathematics at the crossroads of statistics and differential geometry, focused on the study of probability distributions from a geometric point of view. One of the tools of information geometry is the Fisher-Rao information distance, which allows to compare probability distributions inside a given parametric family. In that sense, information geometry is an alternative approach to optimal transport. \n", "\n", "The Fisher-Rao metric is a Riemannian metric defined on the space of parameters of a family of distributions using the Fisher information matrix. This metric is invariant under change of parameterization. Moreover it is the only Riemannian metric compatible with the notion of information contained by the model on the parameter, in the sense that it is the only metric that preserves the geometry of a parametric model after transformation by a sufficient statistic (Cencov's theorem). For an overview, see [[A2016]](#References)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO: Using numpy backend\n" ] } ], "source": [ "import matplotlib\n", "import matplotlib.image as mpimg\n", "import matplotlib.pyplot as plt\n", "from matplotlib.lines import Line2D\n", "\n", "import geomstats.backend as gs\n", "import geomstats.visualization as visualization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Geometry of normal distributions " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Fisher information geometry of the family of normal distributions is arguably the most well-known. The space of parameters is the upper half-plane where the x-coordinate encodes the mean and the y-coordinate the standard deviation. Quite remarkably, the Fisher information metric induces the hyperbolic geometry of the Poincare half plane [[AM1981]](#References). To start, we need an instance of the class ```NormalDistributions``` and its Fisher information metric." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": true }, "outputs": [], "source": [ "from geomstats.information_geometry.normal import NormalDistributions\n", "\n", "normal = NormalDistributions(sample_dim=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the ```visualization``` module, we can plot the geodesic between two points, each defining the parameters (mean and standard deviation) for a normal distribution. We recognise the shape of a geodesic of the Poincare half-plane, namely a half-circle orthogonal to the x-axis." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "point_a = gs.array([1.0, 1.0])\n", "point_b = gs.array([3.0, 1.0])\n", "\n", "geodesic_ab_fisher = normal.metric.geodesic(point_a, point_b)\n", "\n", "n_points = 20\n", "t = gs.linspace(0, 1, n_points)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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vZrynPv30U1dZamqqCQsLM3fddZerLDef3blZtxnvs+HDh5tDhw6ZxMREs2zZMlO/fn0jyXz11Vdu9bPa92NjY03FihVdzw8ePGh8fX3Nbbfd5vqeNcaY0aNHG0lm4sSJOfYp4/3bp08fV1laWpopU6aMsdls5o033nCVHz161AQEBLh9V+XH91xOn58Z0zJs27bN2O12c+edd7otrzEX/+7G1YPTEXFFSU5OlpT1L7/NmzdXSEiI65Fx6ti///6rhQsX6t5773X9Inn48GEdOXJEsbGx2rZtm/755x9J5wZeaNCggesUgox59enTRzt37tQff/zhqhceHu52nn9gYKDbURxJ2rBhg7Zt26b77rtPR44ccc07JSVFLVu21NKlS10DbRQrVkyrVq3Svn37PF4fM2bMkM1m07BhwzJN8+TIgo+Pj/r27et67uvrq759++rgwYNat26dJOmrr75StWrVVLVqVVf/Dx8+rFtvvVWStGjRoovOJzo6WuvXr1dKSookafny5Wrbtq3q1q2rZcuWSTp3lMhms7nW/YIFC3Ts2DF17drVbb4Oh0NRUVGu+eZm+2bo06eP2/qJjo5Wenq6du3addFlyW75JGnp0qWuZalfv75atWrlWr5jx45p06ZNrrrp6emaP3++OnbsqIoVK7raCg8P13333afly5e73u856dy5s9svzxnt//3335Kk/fv3a8OGDerRo4dKlCjhqle7dm21atVKP/zwQ6Y2H3nkkSznVb16dTVq1Mj1PONI3a233qqyZctmKs/ogyQFBAS4/n/69GkdPnxYDRs2lKQsT7XKScYyde/eXcHBwa7yVq1aqXr16hd9fV72tQt1797dbZly4sl+VhDyY9tHR0fryJEjrvdixjVds2fPzpdBgn744Qc5HA49/vjjbuVPPvmkjDH68ccf3cqbNWvm0Tb2xMU+Bzz9DLqYoUOHasGCBW6PsLCwLOt6+t4sUqSI2/VYvr6+atCggds+l9vP7tyu22HDhikkJERhYWGKjo7Wli1b9M4772S6/u38/SQpKUmHDx9Ws2bN9PfffyspKUnSuSO2Z86c0aBBg9yOEPbu3VtBQUFZXhKQlV69ern+73A4dPPNN8sYo4cffthVXqxYMVWpUuWS1lVOsvv8PN+sWbPkdDo1dOjQTEdEGcr+2sHpiLiiFC1aVJJ04sSJTNPGjx+v48eP68CBA25fTtu3b5cxRi+++KJefPHFLNs9ePCgSpcurV27dmV5CljG6WO7du1SzZo1tWvXLlWqVCnTh2WVKlXcnm/btk3SuT/YspOUlKTixYvrzTffVPfu3RUZGal69eqpbdu26tatm9sf6BfasWOHIiIi3P7Ayo2IiIhMgy7ccMMNks6dWtKwYUNt27ZNW7ZsUUhISJZtHDx48KLziY6OVlpamlasWKHIyEgdPHhQ0dHR2rx5s1sIq169umtZMtZdxpfghYKCgiTlbvtmOD8wSP87febo0aMXXZashIaGqnLlylq2bJn69u2rZcuWqUWLFmratKkee+wx/f3339qyZYucTqcrJB06dEgnT57M9J6Rzr3fnE6n9uzZoxo1auQ474stS8YflNnNZ968eZkG36hQoYJH88oIQBdef5lRfv76/PfffzV8+HBNmzYt03sm4w8xT2UsU+XKlTNNq1KlykVDXV72tQtlt46y4sl+VhDysu1zej8FBQWpc+fO+vjjj9WrVy8NHjxYLVu2VKdOnXT33XfnaTCkXbt2KSIiwvXZfn7/zl+GDLlZ7xdzsX3H08+gi6lVq5ZiYmI8quvpe7NMmTKZvn+KFy/udg1qbj+7L1y3hw4dUnp6uut5kSJF3H4A7dOnj+655x6dPn1aCxcu1AcffOBWP8PPP/+sYcOGacWKFZmuL0xKSlJwcHC271VfX19VrFjR4x/IsvqM8vf3V8mSJTOVn389an58z2Xw5D26Y8cO2e32fPtBAVcmQhiuKMHBwQoPD9emTZsyTcsITxde2J7xa+1TTz2l2NjYLNutVKlS/nb0gnm/9dZbqlu3bpZ1Mr7U7r33XkVHR2vmzJmaP3++3nrrLY0cOVLffPON6xx/b3A6napVq5befffdLKdf+Ad4Vm6++Wb5+/tr6dKlKlu2rEqVKqUbbrhB0dHR+vDDD5Wamqply5a5XbuVse6mTp2a5a/GGSNN5WX7OhyOLOuZHM7fv5gmTZooPj5ep06d0rp16zR06FDX9XDLli3Tli1bVKRIEd144415nkdWCmJZsjvCk928POnDvffeq19++UVPP/206tatqyJFisjpdKp169aW33YhP/Y1T4+CeSq7X7+z+qO2IF1sWwYEBGjp0qVatGiRvv/+e82dO1fTp0/Xrbfeqvnz52f7+vySn+v9Ysvq6WdQfvL0venJPpfbz+4L1239+vXdws+wYcPcBhGpXLmyK1zefvvtcjgcGjx4sFq0aOG6HnnHjh1q2bKlqlatqnfffVeRkZHy9fXVDz/8oPfeey/f9/2s1ktBrKuc5PdnA65ehDBccdq1a6ePP/5Yq1evdg1qkZOMXxALFSp00V8jy5Urp61bt2Yq//PPP13TM/7dtGmTjDFufzxd+NqMC3aDgoI8+iU0PDxcjz76qB599FEdPHhQN910k1577bVs/zC8/vrrNW/ePP377795Ohq2b9++TL+E//XXX5L+dx+b66+/Xr/99ptatmx50dMkspuecarMsmXLVLZsWdfRoOjoaKWmpuq///2vDhw44LpIOmO+klSqVKkc111utu+lymn5o6OjNWnSJE2bNk3p6elq3Lix7Ha7mjRp4gphjRs3dv1BEBISosDAwGzfb3a7PVdf/NnJeM9mN5+SJUsW+BD0R48eVXx8vIYPH66hQ4e6yjOONORWxjJl9fqsljMrF9vX8vOUIE/2s4yjMBeOBJfVEQBP+1ZQ295ut6tly5Zq2bKl3n33Xb3++ut6/vnntWjRolzvg+XKldNPP/2k48ePux0Nu/AzNy8udRt6+hmU33L7PZCd3Hx2Z+W///2vTp065Xp+sSPFzz//vCZMmKAXXnjBNbLid999p9TUVH377bduR6kuPL3v/Pfq+fM5c+aMEhISCnz958f3XG7n53Q69ccff2T7Ay2uflwThivOM888o8DAQD300EM6cOBApukXHgEoVaqUmjdvrvHjx2v//v2Z6p8/JHHbtm21evVqrVixwlWWkpKijz76SOXLl3edOtC2bVvt27dPX3/9taveyZMn9dFHH7m1Xa9ePV1//fV6++23szyFMmPe6enpmU7JKlWqlCIiIrId9l6S7rrrLhljNHz48Iuuh6ykpaVp/PjxrudnzpzR+PHjFRISonr16kk698vsP//8owkTJmR6/alTp1zXeUlS4cKFsx1OODo6WqtWrdKiRYtcIaxkyZKqVq2aa+S1jHJJio2NVVBQkF5//XWdPXs2U3sZ6y432/dSZfzBmtUyZvR95MiRql27tuuUvOjoaMXHx2vt2rVuy+dwOHTbbbdp9uzZbkdvDxw4oM8//1xNmjTx+HSnnISHh6tu3bqaMmWKW783bdqk+fPnq23btpc8j4vJCJ4XvidHjRqVp/bOX6bz95sFCxa4rtvMjqf7WuHChXN9mmR2PNnPMv7gz7iuMKOvF36m5KZvBbHt//3330xlGX9E5vRZlZ2Mm/2OHj3arfy9996TzWa7pLMAcvo88oSnn0H5Ja/fA9nJzWd3Vm655RbFxMS4HhcLYcWKFVPfvn01b948bdiwQVLW+35SUpImTZrk9tqYmBj5+vrqgw8+cKv7ySefKCkpSe3atctx3pcqv77nPNWxY0fZ7Xa9/PLLmY4GXspZDLiycCQMV5zKlSvr888/V9euXVWlShXdf//9qlOnjowxSkhI0Oeffy673e42VPWYMWPUpEkT1apVS71791bFihV14MABrVixQnv37tVvv/0mSRo8eLC++OILtWnTRo8//rhKlCihKVOmKCEhQTNmzHBd89C7d2+NHj1a3bp107p16xQeHq6pU6cqMDDQra92u10ff/yx2rRpoxo1aqhnz54qXbq0/vnnHy1atEhBQUH67rvvdPz4cZUpU0Z333236tSpoyJFiuinn37SmjVrsryfSYYWLVrowQcf1AcffKBt27a5Tu3KuCZpwIABOa7LiIgIjRw5Ujt37tQNN9yg6dOna8OGDfroo49cwwE/+OCD+vLLL/XII49o0aJFuuWWW5Senq4///xTX375pebNm+c69aRevXr66aef9O677yoiIkIVKlRwnSYaHR2t1157TXv27HELI02bNtX48eNVvnx5t20WFBSksWPH6sEHH9RNN92kLl26KCQkRLt379b333+vW265xfWHm6fb91Jl/MH8+OOPKzY2Vg6HQ126dJF07pTHsLAwbd26VY899pjb8j377LOudXC+V1991XXPpUcffVQ+Pj4aP368UlNTs7znT1699dZbatOmjRo1aqSHH37YNUx5cHCw2+lFBSUoKEhNmzbVm2++qbNnz6p06dKaP3++EhIS8tzmiBEj1K5dOzVp0kQPPfSQ/v33X/3nP/9RjRo1svzBI4On+1q9evU0ffp0xcXFqX79+ipSpIjat2+fp756sp/VqFFDDRs21JAhQ1xHtqdNm6a0tLRM7eWmb/m97V9++WUtXbpU7dq1U7ly5XTw4EF9+OGHKlOmjNuARp5q3769WrRooeeff147d+5UnTp1NH/+fM2ePVuDBg3KNPx3btSrV09jx47Vq6++qkqVKqlUqVLZXt+Vldx8BuWHvH4PZCc3n935ZeDAgRo1apTeeOMNTZs2Tbfddpt8fX3Vvn179e3bVydOnNCECRNUqlQptx/NQkJCNGTIEA0fPlytW7fWHXfcoa1bt+rDDz9U/fr13a7zLgj59T3nqUqVKun555/XK6+8oujoaHXq1El+fn5as2aNIiIiXLdxwFXO2sEYgfyzfft2069fP1OpUiXj7+9vAgICTNWqVc0jjzxiNmzYkKn+jh07TLdu3UxYWJgpVKiQKV26tLn99tvN119/nane3XffbYoVK2b8/f1NgwYNzJw5czK1t2vXLnPHHXeYwMBAU7JkSTNw4EAzd+7cTMNJG2PMr7/+ajp16mSuu+464+fnZ8qVK2fuvfdeEx8fb4w5N7zw008/berUqWOKFi1qChcubOrUqWM+/PBDt3YuHKLemHPD8L711lumatWqxtfX14SEhJg2bdqYdevW5bj+MoaLXrt2rWnUqJHx9/c35cqVM6NHj85U98yZM2bkyJGmRo0axs/PzxQvXtzUq1fPDB8+3CQlJbnq/fnnn6Zp06YmICDASHIbxjc5Odk4HA5TtGhRk5aW5ir/7LPPjCTz4IMPZtnPRYsWmdjYWBMcHGz8/f3N9ddfb3r06GHWrl3rVs+T7ZsxNPWaNWsyzSOr7XahtLQ089hjj5mQkBBjs9kyDVd/zz33GElm+vTpbusuMDDQ+Pr6mlOnTmVqc/369SY2NtYUKVLEBAYGmhYtWrgNA5+djGGi33rrrUzTdMGw18YY89NPP5lbbrnFBAQEmKCgINO+fXvXkPoZMoZRzmr48XLlypl27dplOa8Lh9TOqm979+41d955pylWrJgJDg4299xzj9m3b1+mvno6RL0xxsyYMcNUq1bN+Pn5merVq5tvvvkmy33k/Hl4uq+dOHHC3HfffaZYsWJuw95nvFcuHIb7/GkXDlHv6X62Y8cOExMTY/z8/ExoaKh57rnnzIIFCzK1mV3fshqi3phL2/YXbo/4+HjToUMHExERYXx9fU1ERITp2rWr+euvvzItz4WyGqLemHNDwT/xxBMmIiLCFCpUyFSuXNm89dZbmYbqzuq9lpPExETTrl07U7RoUSPJNVx9bj8HPP0MulBO75Xzlym3783s1mNW731PP7tzs25z+uwxxpgePXoYh8Phur3At99+a2rXrm38/f1N+fLlzciRI83EiROz3M9Hjx5tqlatagoVKmRCQ0NNv379zNGjRy/ap+zev927dzeFCxfOVD+rdXip33M5fX5eOER9hokTJ5obb7zRNb9mzZqZBQsWXHR5cXWwGcNxTwAAAACwCteEAQAAAICFCGEAAAAAYCFCGAAAAABYyKshbMSIEapfv76KFi2qUqVKqWPHjh7d4+Wrr75S1apV5e/vr1q1aumHH35wm26M0dChQxUeHq6AgADFxMTk+X40AAAAAJCfvBrClixZov79+2vlypVasGCBzp49q9tuuy3He1f88ssv6tq1qx5++GH9+uuv6tixozp27KhNmza56rz55pv64IMPNG7cOK1atUqFCxdWbGysTp8+bcViAQAAAEC2LqvREQ8dOqRSpUppyZIlatq0aZZ1OnfurJSUFM2ZM8dV1rBhQ9WtW1fjxo2TMUYRERF68skn9dRTT0k6d2PA0NBQTZ482XVPHwAAAADwhsvqZs0Zd4ovUaJEtnVWrFihuLg4t7LY2FjNmjVLkpSQkKDExETFxMS4pgcHBysqKkorVqzIMoSlpqa63Y3e6XTq33//1XXXXSebzXYpiwQAAADgCmaM0fHjxxURESG7PX9OJLxsQpjT6dSgQYN0yy23qGbNmtnWS0xMVGhoqFtZaGioEhMTXdMzyrKrc6ERI0Zo+PDhl9J9AAAAAFexPXv2qEyZMvnS1mUTwvr3769NmzZp+fLlls97yJAhbkfXkpKSVLZsWe3Zs0dBQUGW9wcAAADA5SE5OVmRkZEqWrRovrV5WYSwAQMGaM6cOVq6dOlF02VYWJgOHDjgVnbgwAGFhYW5pmeUhYeHu9WpW7dulm36+fnJz88vU3lQUBAhDAAAAEC+Xqbk1dERjTEaMGCAZs6cqYULF6pChQoXfU2jRo0UHx/vVrZgwQI1atRIklShQgWFhYW51UlOTtaqVatcdQAAAADAW7x6JKx///76/PPPNXv2bBUtWtR1zVZwcLACAgIkSd26dVPp0qU1YsQISdLAgQPVrFkzvfPOO2rXrp2mTZumtWvX6qOPPpJ0LqEOGjRIr776qipXrqwKFSroxRdfVEREhDp27OiV5QQAAACADF4NYWPHjpUkNW/e3K180qRJ6tGjhyRp9+7dbqOQNG7cWJ9//rleeOEFPffcc6pcubJmzZrlNpjHM888o5SUFPXp00fHjh1TkyZNNHfuXPn7+xf4MgEAAABATi6r+4RdLpKTkxUcHKykpCSuCQMAAMij9PR0nT171tvdAHLkcDjk4+OT7TVfBZENLouBOQAAAHB1OXHihPbu3St+78eVIDAwUOHh4fL19bVkfoQwAAAA5Kv09HTt3btXgYGBCgkJyddR5YD8ZIzRmTNndOjQISUkJKhy5cr5dkPmnBDCAAAAkK/Onj0rY4xCQkJcg60Bl6uAgAAVKlRIu3bt0pkzZywZR8KrQ9QDAADg6sURMFwprDj65TY/S+cGAAAAANc4QhgAAAAAWIgQBgAAAOSTyZMnq1ixYt7uxhUhv9dV+fLlNWrUqHxrryAxMAcAAAAuS6dPn9aaNWt05swZ1axZU6Ghod7u0kV17txZbdu2zdVrmjdvrrp1614xAeJytWbNGhUuXNjb3fAIR8IAAABwWXE6nXrttdcUHh6upk2bKiYmRqVLl1bXrl118OBBb3cvRwEBASpVqpS3u3FNCgkJUWBgoLe74RFCGAAAAC4rjzzyiF588UUdO3bMVZaenq6vvvpKt9xyi44ePVog823evLkGDBigAQMGKDg4WCVLltSLL77odsPpo0ePqlu3bipevLgCAwPVpk0bbdu2zTX9wlPsXnrpJdWtW1dTp05V+fLlFRwcrC5duuj48eOSpB49emjJkiV6//33ZbPZZLPZtHPnziz75+m8582bp2rVqqlIkSJq3bq19u/fn+Nyf/vtt6pcubL8/f3VokULTZkyRTabzW39L1++XNHR0QoICFBkZKQef/xxpaSkeNy3jP6VLVtWgYGBuvPOO3XkyJFMfZk9e7Zuuukm+fv7q2LFiho+fLjS0tIknbun10svvaSyZcvKz89PERERevzxx12vvfB0xGPHjqlv374KDQ2Vv7+/atasqTlz5uS4LqxCCAMAAMBlY/369ZowYYJb8MmQnp6uhIQEffDBBwU2/ylTpsjHx0erV6/W+++/r3fffVcff/yxa3qPHj20du1affvtt1qxYoWMMWrbtq3Onj2bbZs7duzQrFmzNGfOHM2ZM0dLlizRG2+8IUl6//331ahRI/Xu3Vv79+/X/v37FRkZmWU7nsz75MmTevvttzV16lQtXbpUu3fv1lNPPZVt3xISEnT33XerY8eO+u2339S3b189//zzmfrfunVr3XXXXfr99981ffp0LV++XAMGDPC4b6tWrdLDDz+sAQMGaMOGDWrRooVeffVVt/ksW7ZM3bp108CBA/XHH39o/Pjxmjx5sl577TVJ0owZM/Tee+9p/Pjx2rZtm2bNmqVatWpluVxOp1Nt2rTRzz//rM8++0x//PGH3njjDTkcjmzXhaUMMklKSjKSTFJSkre7AgAAcMU5deqU+eOPP8ypU6dy/dr+/fsbHx8fIynbR3h4eAH02phmzZqZatWqGafT6Sp79tlnTbVq1Ywxxvz1119Gkvn5559d0w8fPmwCAgLMl19+aYwxZtKkSSY4ONg1fdiwYSYwMNAkJye7yp5++mkTFRXlNt+BAwfm2DdP5y3JbN++3VVnzJgxJjQ0NNt2n332WVOzZk23sueff95IMkePHjXGGPPwww+bPn36uNVZtmyZsdvt5tSpUx71rWvXrqZt27ZubXTu3NltXbVs2dK8/vrrbnWmTp3q2t7vvPOOueGGG8yZM2eyXJZy5cqZ9957zxhjzLx584zdbjdbt27NdtnPl9N7tiCyAUfCAAAAcNnYvXu36/Sz7Ozfvz/LI2X5oWHDhm43mW7UqJG2bdum9PR0bdmyRT4+PoqKinJNv+6661SlShVt2bIl2zbLly+vokWLup6Hh4fn+to2T+cdGBio66+/3uN5bd26VfXr13cra9Cggdvz3377TZMnT1aRIkVcj9jYWDmdTiUkJHjUty1btrhNl86t2wvn8/LLL7vNJ+MI4cmTJ3XPPffo1KlTqlixonr37q2ZM2dm+17ZsGGDypQpoxtuuCHbZfcmRkcEAADAZaNkyZLy8fHJMYgVK1bMLShd7goVKuT23Gazyel0WjavSw2sJ06cUN++fd2uv8pQtmzZTNd+Xcp8hg8frk6dOmWa5u/vr8jISG3dulU//fSTFixYoEcffVRvvfWWlixZkmm5AwIC8qVPBYUjYQAAALhsPPDAAzkGMIfDoR49ehTY/FetWuX2fOXKlapcubIcDoeqVaumtLQ0tzpHjhzR1q1bVb169TzP09fXV+np6TnWKah5V6lSRWvXrnUrW7Nmjdvzm266SX/88YcqVaqU6eHr6+tR36pVq5blur1wPlu3bs1yPnb7udgSEBCg9u3b64MPPtDixYu1YsUKbdy4MdNy1a5dW3v37tVff/2V53VTkAhhAAAAuGy0aNFCrVq1cv3RfT6Hw6Hg4GDFxcUV2Px3796tuLg4bd26VV988YX+85//aODAgZKkypUrq0OHDurdu7eWL1+u3377TQ888IBKly6tDh065Hme5cuX16pVq7Rz504dPnw4y6NkBTXvvn376s8//9Szzz6rv/76S19++aUmT54sSa6jjc8++6x++eUX16Aa27Zt0+zZs10Dc3jSt8cff1xz587V22+/rW3btmn06NGaO3euW1+GDh2qTz/9VMOHD9fmzZu1ZcsWTZs2TS+88IKkc6MrfvLJJ9q0aZP+/vtvffbZZwoICFC5cuUyLVezZs3UtGlT3XXXXVqwYIESEhL0448/ZpqntxDCAAAAcNmw2WyaOXOmunbt6goBGf/WqFFDy5Yty3b0wPzQrVs3nTp1Sg0aNFD//v01cOBA9enTxzV90qRJqlevnm6//XY1atRIxhj98MMPmU6Hy42nnnpKDodD1atXV0hIiHbv3p1lvYKYd4UKFfT111/rm2++Ue3atTV27FjX6Ih+fn6Szh1VWrJkif766y9FR0frxhtv1NChQxUREeFx3xo2bKgJEybo/fffV506dTR//nxXuMoQGxurOXPmaP78+apfv74aNmyo9957zxWyihUrpgkTJuiWW25R7dq19dNPP+m7777Tddddl+WyzZgxQ/Xr11fXrl1VvXp1PfPMMxc94mgVmymoqxqvYMnJyQoODlZSUpKCgoK83R0AAIAryunTp5WQkKAKFSrI398/z+3s2bNH8+bNU2pqqurVq6eoqKgCvRasefPmqlu3rtu9pq5Fr732msaNG6c9e/Z4uyuWyek9WxDZgIE5AAAAcFmKjIxUr169vN2Nq96HH36o+vXr67rrrtPPP/+st956y+0eYMh/hDAAAADgGrZt2za9+uqr+vfff1W2bFk9+eSTGjJkiLe7dVXjdMQscDoiAABA3uXX6YiAVaw+HZGBOQAAAADAQoQwAAAAFAhOuMKVwur3KiEMAAAA+crhcEiSzpw54+WeAJ45efKkJF3ScP+5wcAcAAAAyFc+Pj4KDAzUoUOHVKhQoSxvvAxcDowxOnnypA4ePKhixYq5fkAoaIQwAAAA5Cubzabw8HAlJCRo165d3u4OcFHFihVTWFiYZfMjhAEAACDf+fr6qnLlypySiMteoUKFLDsCloEQBgAAgAJht9sZoh7IAifoAgAAAICFCGEAAAAAYCFCGAAAAABYiBAGAAAAABYihAEAAACAhQhhAAAAAGAhQhgAAAAAWIgQBgAAAAAWIoQBAAAAgIW8GsKWLl2q9u3bKyIiQjabTbNmzcqxfo8ePWSz2TI9atSo4arz0ksvZZpetWrVAl4SAAAAAPCMV0NYSkqK6tSpozFjxnhU//3339f+/ftdjz179qhEiRK655573OrVqFHDrd7y5csLovsAAAAAkGs+3px5mzZt1KZNG4/rBwcHKzg42PV81qxZOnr0qHr27OlWz8fHR2FhYfnWTwAAAADIL1f0NWGffPKJYmJiVK5cObfybdu2KSIiQhUrVtT999+v3bt359hOamqqkpOT3R4AAAAAUBCu2BC2b98+/fjjj+rVq5dbeVRUlCZPnqy5c+dq7NixSkhIUHR0tI4fP55tWyNGjHAdZQsODlZkZGRBdx8AAADANcpmjDHe7oQk2Ww2zZw5Ux07dvSo/ogRI/TOO+9o37598vX1zbbesWPHVK5cOb377rt6+OGHs6yTmpqq1NRU1/Pk5GRFRkYqKSlJQUFBuVoOAAAAAFeP5ORkBQcH52s28Oo1YXlljNHEiRP14IMP5hjAJKlYsWK64YYbtH379mzr+Pn5yc/PL7+7CQAAAACZXJGnIy5ZskTbt2/P9sjW+U6cOKEdO3YoPDzcgp4BAAAAQM68GsJOnDihDRs2aMOGDZKkhIQEbdiwwTWQxpAhQ9StW7dMr/vkk08UFRWlmjVrZpr21FNPacmSJdq5c6d++eUX3XnnnXI4HOratWuBLgsAAAAAeMKrpyOuXbtWLVq0cD2Pi4uTJHXv3l2TJ0/W/v37M41smJSUpBkzZuj999/Pss29e/eqa9euOnLkiEJCQtSkSROtXLlSISEhBbcgAAAAAOChy2ZgjstJQVx8BwAAAODKUxDZ4Iq8JgwAAAAArlSEMAAAAACwECEMAAAAACxECAMAAAAACxHCAAAAAMBChDAAAAAAsBAhDAAAAAAsRAgDAAAAAAsRwgAAAADAQoQwAAAAALAQIQwAAAAALEQIAwAAAAALEcIAAAAAwEKEMAAAAACwECEMAAAAACxECAMAAAAACxHCAAAAAMBChDAAAAAAsBAhDAAAAAAsRAgDAAAAAAsRwgAAAADAQoQwAAAAALAQIQwAAAAALEQIAwAAAAALEcIAAAAAwEKEMAAAAACwECEMAAAAACxECAMAAAAACxHCAAAAAMBChDAAAAAAsBAhDAAAAAAsRAgDAAAAAAsRwgAAAADAQoQwAAAAALAQIQwAAAAALEQIAwAAAAALEcIAAAAAwEJeDWFLly5V+/btFRERIZvNplmzZuVYf/HixbLZbJkeiYmJbvXGjBmj8uXLy9/fX1FRUVq9enUBLgUAAAAAeM6rISwlJUV16tTRmDFjcvW6rVu3av/+/a5HqVKlXNOmT5+uuLg4DRs2TOvXr1edOnUUGxurgwcP5nf3AQAAACDXfLw58zZt2qhNmza5fl2pUqVUrFixLKe9++676t27t3r27ClJGjdunL7//ntNnDhRgwcPvpTuAgAAAMAluyKvCatbt67Cw8PVqlUr/fzzz67yM2fOaN26dYqJiXGV2e12xcTEaMWKFdm2l5qaquTkZLcHAAAAABSEKyqEhYeHa9y4cZoxY4ZmzJihyMhINW/eXOvXr5ckHT58WOnp6QoNDXV7XWhoaKbrxs43YsQIBQcHux6RkZEFuhwAAAAArl1ePR0xt6pUqaIqVaq4njdu3Fg7duzQe++9p6lTp+a53SFDhiguLs71PDk5mSAGAAAAoEBcUSEsKw0aNNDy5cslSSVLlpTD4dCBAwfc6hw4cEBhYWHZtuHn5yc/P78C7ScAAAAASFfY6YhZ2bBhg8LDwyVJvr6+qlevnuLj413TnU6n4uPj1ahRI291EQAAAABcvHok7MSJE9q+fbvreUJCgjZs2KASJUqobNmyGjJkiP755x99+umnkqRRo0apQoUKqlGjhk6fPq2PP/5YCxcu1Pz5811txMXFqXv37rr55pvVoEEDjRo1SikpKa7REgEAAADAm7wawtauXasWLVq4nmdcl9W9e3dNnjxZ+/fv1+7du13Tz5w5oyeffFL//POPAgMDVbt2bf30009ubXTu3FmHDh3S0KFDlZiYqLp162ru3LmZBusAAAAAAG+wGWOMtztxuUlOTlZwcLCSkpIUFBTk7e4AAAAA8JKCyAZX/DVhAAAAAHAlIYQBAAAAgIUIYQAAAABgIUIYAAAAAFiIEAYAAAAAFiKEAQAAAICFCGEAAAAAYCFCGAAAAABYiBAGAAAAABYihAEAAACAhQhhAAAAAGAhQhgAAAAAWIgQBgAAAAAWIoQBAAAAgIUIYQAAAABgIUIYAAAAAFiIEAYAAAAAFiKEAQAAAICFCGEAAAAAYCFCGAAAAABYiBAGAAAAABYihAEAAACAhQhhAAAAAGAhQhgAAAAAWIgQBgAAAAAWIoQBAAAAgIUIYQAAAABgIUIYAAAAAFiIEAYAAAAAFiKEAQAAAICFCGEAAAAAYCFCGAAAAABYiBAGAAAAABYihAEAAACAhQhhAAAAAGAhQhgAAAAAWIgQBgAAAAAW8moIW7p0qdq3b6+IiAjZbDbNmjUrx/rffPONWrVqpZCQEAUFBalRo0aaN2+eW52XXnpJNpvN7VG1atUCXAoAAAAA8JxXQ1hKSorq1KmjMWPGeFR/6dKlatWqlX744QetW7dOLVq0UPv27fXrr7+61atRo4b279/veixfvrwgug8AAAAAuebjzZm3adNGbdq08bj+qFGj3J6//vrrmj17tr777jvdeOONrnIfHx+FhYXlVzcBAAAAIN9c0deEOZ1OHT9+XCVKlHAr37ZtmyIiIlSxYkXdf//92r17d47tpKamKjk52e0BAAAAAAXBq0fCLtXbb7+tEydO6N5773WVRUVFafLkyapSpYr279+v4cOHKzo6Wps2bVLRokWzbGfEiBEaPny4Vd0GAFhs166jGj9+tVau3CMfH7tat75BPXrcpBIlAi+57eTkVH366UZ99912paamq379cPXtW1eVKpW4+IsBANckmzHGeLsTkmSz2TRz5kx17NjRo/qff/65evfurdmzZysmJibbeseOHVO5cuX07rvv6uGHH86yTmpqqlJTU13Pk5OTFRkZqaSkJAUFBeVqOQAAeXPkyAlNnrxKmzfvV2Cgr+68s45uvfUG2Wy2S2r3s89+Vc+eM2SMUXr6ua88m00KDvbXjz/2UMOGZfPc9m+/HVBMzBc6cuSUJMkYyeGwyRijMWNi9cgjN11S340xWr58v77+eoeOHz+jKlWKq0ePqgoNvfTwCADwTHJysoKDg/M1G1yRR8KmTZumXr166auvvsoxgElSsWLFdMMNN2j79u3Z1vHz85Ofn19+dxMA4KGpU1erV6//Ki3NKbv9XOgaM2apGjQopzlzHlFISNZnMlzMmjV71a3b17rw90Zjzh3Bat16sv7++6k8HRFLSTmjVq2m6ejR0zq/+Yyg16/fPFWtep2aNy+Xp74fO5aqjh1/0JIl++Tjc26dOJ3SCy+s1AcfNFW/fjXz1C4AwPuuuGvCvvjiC/Xs2VNffPGF2rVrd9H6J06c0I4dOxQeHm5B7wDg6rd1635NmrRUU6Ys165dhy+5vYULt6p790915ky6nE6jtDSn0tKckqT16/eofftxmUKUp957b7kcjqyPpDmdRsnJpzV58vo8tf3FF3/o0KGTrtB1IYfDprffXpWntiXp3nvnafny/ZKktDSjtDTz/+vH6NFHl+jbbxPy3HaGf/45qU8/3aGJE7dp06ajl9weAMAzXj0SduLECbcjVAkJCdqwYYNKlCihsmXLasiQIfrnn3/06aefSjp3CmL37t31/vvvKyoqSomJiZKkgIAABQcHS5KeeuoptW/fXuXKldO+ffs0bNgwORwOde3a1foFBICryP79x/Tgg+MVH/+Hq8xms+nOO2/SJ588rGLFCuep3VdfnSe73ZZlmElLc2rVql1asmSbmje/Iddt//jjX65AlxVjpB9/3Kq4uCa5bnvevATZ7TY5nVmHsPR0o/nzE2SMyfUplevWHdSCBXuynW632/Tyy2t0xx0VctVuhhMnzuqRR1bqiy8S5Dxv9TRpUkpTpzZR+fJF8tQuAMAzXj0StnbtWt14442u4eXj4uJ04403aujQoZKk/fv3u41s+NFHHyktLU39+/dXeHi46zFw4EBXnb1796pr166qUqWK7r33Xl133XVauXKlQkJCrF04ALiKJCefUnT0a1qy5E+3cmOMZs/+Va1avakzZ9Jy3e6JE6latOivbI8mSZKPj12zZv2e67Yl5RjAMpw9e/E62bV9sSN06el5a3vWrATXKYhZcTqN1q07pMTElFy3nZ7uVPv2CzVt2k63ACZJK1ceUpMmc3X48OlctwsA8JxXj4Q1b948xy+wyZMnuz1fvHjxRducNm3aJfYKAK4OqalndeDAMRUtGqDixS/tyMbHHy/R338fyvIzOz3dqbVrd+qbb9aqS5eGuWr31KkzHtU7edKzehdq2DBSixb9neMpg40a5W1gjgYNwvXtt9uy/R6z222qVy8sTwOLnDx59v9fl3PIO3ky98F37tx9Wrz4QJbT0tKMEhNPacyYrRo2rE6u2z5fUtJZJSWdVUiInwICHJfUFgBcba64a8IAADk7dChJAwZMUIkS3VSuXF+VKNFNrVq9pOXLt+S5zUmTlub4o5ndbtPkycty3W6JEoUVEpJzQExPN6pZMyLXbUvS4483zvEomyT17dsgT20//HAd+fjYlV3GcjqNBg68OU9t16x53UWP0BUtWkgREbk/BfTTT3dke52cdG59f/JJ9oNZXcyaNUfVrt0vKl58jsqVm6cSJeaob99ftW/fqTy3CQBXG0IYAFxFDh48pqioZzVu3DydPPm/W28sWrRJzZu/qG+/XZ2ndg8cyPkm9k6n0b59x3LdrsNh16OPRrtGRLyQzSb5+Tn04IN5C0q3315VTz0V/f/z+t88zoUnmyZNulvlyxfPU9ulShXWF190kMNhczt1MGM+vXvX1X331chT2507V1JQkG+2Ac/hsKlXr+ry98/9CS2JiacuGkwPHcrb6Yjx8Qd1yy1LNG/eQdeIkadPOzVx4i7Vr79Ye/cSxABAIoQBwFXl+ec/1+7dhzNdi5Se7pTTadSt2wc6dSo1m1dnLzKyRLaBQDoXpsqXL5nrdiXpmWdaqX79spmC2LkwY9PEiQ+oePG83RfLZrPpzTdb67vvuqlFi4oqUsRXwcH+uueemlq1qp8efPDGPLWboVOnKlq7tqceeKCmihf3V+HChdS4cRl99dWdGj++dZ7vcRYYWEiffRYjh8OW6aiVw2FT9eolNGxY/Ty1Xa5ckRyvN5Ok0qUDct1uWppTDzywVunpJlPIS0szOngwVXFxG3PdLgBcjS6bmzVfTgrihmwAUNCOHz+lkJDuSk3N+TqhqVMH6oEHmuWq7XHjFurRR6cop2+M2bMH6o478nZz4pMnz+jtt+M1ZsxSHTx4XDabdNtt1fTcc7Fq2rRSntq8GqxalajXXlun778/N4hGiRJ+6tevpp555iYFBfnmqc1FixJ1663zs51ut0sjRtykZ57J3X3Ivv12vzp0WJljHYfDpn372qhUKe7NCeDKwc2aAeAqs2PHPo0ZM1vffbdCqalpaty4ugYM6KAmTWrluq3duw9dNIAVKuTQli17c9129+5NNGHCYv32255MR9nsdptuvbW62rWrm+t2MwQG+mro0DZ64YVYJSWdlr+/jwIC8hYyriZRUWH69tt2On06TSdPpik42FcOx6WdxNK8eag6dSqrmTN3ZwrVDodNlSoV1SOP5P52AFu2HJfDkfWtBjKkpxvt2HEiTyFs9eok/ec/e7V06TH5+Eht2pTUgAFlVLVq3m6NAADexOmIAOAlc+euVo0aD+uDD2Zq+/Z92rPnoGbMWKbo6Cf0yiuf5bq9IkX8L1rH6TQe1btQQICv4uOf1X33NZSPz/9GuvP3L6R+/W7Vd98NuuRwIEl2u13FiwcSwC7g7++jEiX882Ud22w2ffFFtJ58sroCA/+3LR0Om+66q6yWL2+dp6NsRYr4ZHvPtAvr5daoUbsVFbVW06Yd0O7dp/X336c1fvw/qlVrlWbMOJjr9gDA2zgdMQucjgigoB08eFTly9+v06fPZjvq4I8/vq7WrT0fkMIYoxtvfFIbN+7K8Y/hP//8j6pUKZ3rPmc4eDBZ69YlyG63KyqqYp5v0gzvO378rFasOKS0NKduvLGEwsPzdu2dJO3de0rlys3NdO+x811/fWFt29YqV9fK/fzzMTVpsi7LaTab5ONj07ZtjVSuXO6vYwMATxRENuBIGAB4wcSJc5Wamn0Aczjseu+9Gblq02azafjwLtkGMLvdpnvuaXRJAUySSpUKUps2dRQbW4sAdoUrWrSQbrstQm3blrmkACZJZcoE6KGHysmew18WL71UNdeDlbz//p5sBxIx5tzR3XHj/slVmwDgbYQwAPCCJUt+z/FoVXq6U0uX5n4kuQ4dGuijj/rJ19dHNptNhQo55ONjd02bPPnxPPcZuJjRo+uoa9cyks4doSpUyCa7/dz/3323lh54IPc3xl606KjS0nLaV87VAYArCQNzAICHnE6n5s1bqU8//UGJiUdUrly4eva8XU2b3pjrX/c9qZ/X4c17926lTp0a6rPPlmj79v0KCgrUvfc2Vp06FfLUHuApPz+HPvusvp57roqmTdurf/89qwoVAvXgg2XzPCKiJ7tBTkffsmOM0cqVJ/TJJ4e1Y8dphYT46P77S6pdu2IXHcIfAC4VIQwAPJCSckq33/6kFi9eJ4fDrvR0p3x8HJoy5Xvdc8+t+u9/X1GhQp5/pN56a13Nm7cm26NhPj4OtWhRJ8/9ve66oho48PY8vx64FNWrB+nll6vnS1sxMSX01VcHsz0a5nCcq5Mb6elGvXolaPLkw/LxkdLSzrXz1VdHFRVVWHPnVlGxYvyJBKDgcDoiAHigb983tGzZr5LkGqI9LS1dkvT114v0wgvjctVez56xCgjwy3SD4gxpaemKi7v7EnoMXB0GDozMdtj7jIE5+vTJ3XWOb7yxX1OmHJZ0LoBJ505rlKS1a1P04IN/57m/AOAJQhgAXMQ//xzUF1/Mz3R/rAzGGI0e/ZVOnDjpcZvXXRes7757VX5+7vd9yhj+/e23+6ply7zd+Bi4mkRFBWvs2CquwJXB4ZAKFbJpxozaKlPG89supKY69e67+7O98Xh6ujRnzjFt23b6UrsOANniWDsAXER8/Fo5cxp3W9LJk6e1YsVGtWoV5XG7LVrU1V9/Tdb48XP07bcrdObMWTVqVEMDBnTQTTdVvtRuA1eNvn3L6JZbimnMmL1asuSoHA6b2rYtqX79Sqt8+dwNTb9hw0n9+296jnVsNmnevCRVrpz7e+oBgCcIYQBwEWkZ5ytdxNmzntU7X5kyIXrllZ565ZWeuX4tcC2pWbOIxo6tesntnD178duj2mye1QOAvOJ0RABXteXL1+m++55S1aptdNNNnfTaa+N08OCRXLVRv/7FBxhwOOy68cYqee0mAIvUrBkgP7+cRz90OqUGDXJ3D7wjR9L15ptHdPPNO1Wlyg7dc88/io9PyfZegACubTbDp0MmBXFXbADWMsZoyJB3NXLkx/LxcbgG0bDb7QoKKqwFCybq5ptretxekya9tWrVZlc753M4HLrrruaaPv31fOs/gILTq9ffmjz5sGswjvM5HFK1agH6/feaHt8mYtOmVLVosVv//puujDOXM0ZdfOSRYvrww9A833ICgPcVRDbgSBiAq9L06T9o5MiPJcktODmdTh0/nqK2bfvo1CnPL7z/7LPhCgkp7jaIhnQu1F1/fWmNHv10/nQcQIF7552yqlkzUDab+33IHA6peHEfffllJY9DU1qaUbt2e3T06P8C2Lnyc/+OG3dMH3+clI+9B3A1IIQBuCq9/fYk2bO5g2t6ulOHDh3V9Ok/etxe+fIR2rBhqp5/vqfKlAmRv7+vKlaM0Ouv99OaNZMUElI8v7oOoIAFB/vo55+r6e23I1W5sr/8/W0KCyukp58O12+/1VS1ap4P9vHttye0e3dalkfVpHMh7+23/+W0RABuOB0xC5yOCFzZTp9OVUBA3RzrOBwOPfBAe02ePMKaTgG4Kj3++AGNG3dUZ8/mXO/AgUoqVYrx0IArEacjAoAHPP1tid+gAFwqzz9vCrgjAK4ohDAAl6W0tDStWrVe8fHL9c8/+3P12oAAf9WpUzXb0xElKT09XU2b3nyp3QRwjWvaNDDHo2A2m1SxYiGVKuXIVbuJielauDBVK1akMlw+cBUihAG4rBhjNHbspypbtoEaNrxDMTFdFBnZQO3b99DOnXs8bufJJ3tke4Nlu92uEiWC1bVru/zqNoBrVMeORRUR4SNHNhnLGOnJJ0t4PNDHvn3puvvuIypdOlEtWx5W48aHVbp0ot599zhH74GrCCEMwGXltdc+0KOPPqf9+w+6yowx+vHHRYqKaq+9e/d51M4DD9yhxx57QJLk4/O/v44cDrsCA/01Z85YBQZ6fvE9AGSlUCGb5swpo6Agu1sQy/h/jx5BeuSRYh61dehQuho1OqRZs067jbR46JBTTz6ZrGefTc6/jgPwKgbmyAIDcwDe8c8/+1W2bFS2R7B8fBx66KEuGj9+pEftGWMUH79Co0f/V+vXb1FgoL/uuSdWjzzSRaVLh+Zn1wFc4w4cSNP48cc0bVqyTpxwqnZtP/XrV1xt2xb2+CjYU08ladSoE9mOtChJf/0VqsqVGeADsFJBZANCWBYIYYB3vPHGaL3wwptKT886hEmSv7+fjh7dLH9/fwt7BgAFy+k0KlFiv5KSsv+zzMdHevrpInr99WALewaA0REBXNV27fonx8E0pHPDzx85ctSiHgGANVJSTI4BTDp3fdmuXTkcJgNwxSCEAbhslCxZ4qIXntvtdhUrxq/AAK4ugYE2+fnlXMdmk0qW5E834GrAngwg3505c0bbtm1XQsLObK/vysp993VUWlr2v/I6HA7deWdrFS4cmB/dBIDLhsNhU9euAfLJ4XKvtDTpgQc8//wzxmjnTqf++sup1FSuPgEuJ4QwAPkmNTVVQ4e+qvDwyrrhhptUsWJtVa5cVx99NMmjoZWrVaus7t3vyfIidrvdrkKFfDR06KAC6DkAeN9zzwXJ39+W5XD3drvUsaO/6tf39aitTz89q6pVU1ShQoqqVElRaOgJDR6cqpQUwhhwOSCEAcgXZ8+eVdu2d+u1197Wv//+75qthIRd6tt3oJ566nmP2pkw4U09+mh317Dydvu5QFauXGn99NM01a5dPf87DwCXgcqVfbRkSUldf/25w2EZl8ja7VKPHoH64osSHrXz8sup6t79tLZt+1/gSkqS3nrrjGJiTurUKYIY4G2MjpgFRkcEcm/ChMnq0+fxHOusWbNYN998k0ftHTx4WHPm/KQTJ1JUo0YVtWjR+KKDdgDA1cAYo2XLzui3384qIMCmtm39FRGRzd2gL7B1q1NVq6ZkO91ul956y09xcZ4dUQPAEPWWIYQBuXfjjU30228bsz3t0MfHRz17PqCPPvrA4p4BwLXjqadO6/33zyotLfs6FSvatGNHEes6BVzhGKIewGVr27btOV73lZaWpi1btlrYIwC49mzb5swxgEnS338bj67TBVBwCGEA8kXRojn/qsrQ8gBQ8IoWzXpgj/MVLqwsB0ACYB1CGIB8cd9998qRwze/0+lUly53WdgjALj23HtvIaXncD9nHx+pS5ccxsEHYAmuCcsC14ThWnb48GF9+umn2rhxowIDA9WxY0e1bNnyooNi7Nq1W7VrN1JKykmlX/AXgI+PQxUrVtDvv6+Q38XuRgoAyLP0dKP69U9q48bMpyXa7ZKfn7R+faCqVs35cJkx0pIl0owZ0okTUtWqUo8eUmhowfUduFx59Zqwffv25csMz7d06VK1b99eERERstlsmjVr1kVfs3jxYt10003y8/NTpUqVNHny5Ex1xowZo/Lly8vf319RUVFavXp1vvcduBr997//VenSpfX000/rs88+00cffaTbbrtN9evX14EDB3J8bblyZRUf/51CQ0tJkgoV8pHP/991tHbtmlq4cA4BDAAKmMNh07x5AWrY8NyfeD4+UqFC56Zdd925aRcLYEePSk2bSi1aSOPGSZ99Jj33nFSmjPTRRwW9BMC1weMQVqNGDX3++ef5OvOUlBTVqVNHY8aM8ah+QkKC2rVrpxYtWmjDhg0aNGiQevXqpXnz5rnqTJ8+XXFxcRo2bJjWr1+vOnXqKDY2VgcPHszXvgNXmyVLlujBBx/UmTNn5HQ6lZaWprT//xn1999/V9u2beV0OnNs4+abb9KuXZs1c+bnevLJxzV48BNatmye1q5dqtKlI6xYDAC45oWE2LV0aaBWrgzUc8/5Ki7OV19+6a+9ewsrOjrnUxGNkTp1klasOPc8Le3cw+k892/fvtL331uwEMBVzuPTET/88EM9++yzat26tcaPH68SJTy7YaDHHbHZNHPmTHXs2DHbOs8++6y+//57bdq0yVXWpUsXHTt2THPnzpUkRUVFqX79+ho9erSkc9ehREZG6rHHHtPgwYM96gunI+JadNttt2nhwoWZTiU834IFCxQTE2NhrwAAVlq1SmrYMPvpdrvUoMH/QhpwLfDq6YiPPvqofv/9dx05ckTVq1fXd999ly8dyI0VK1Zk+gMwNjZWK/7/k+DMmTNat26dWx273a6YmBhXnaykpqYqOTnZ7QFcS06dOqWffvopxwDm4+OjmTNnWtgrAIDVZs06dwpjdpxOaeVK6dAhy7oEXJVyNTxOhQoVtHDhQo0ePVqdOnVStWrVXNd8ZFi/fn2+dvB8iYmJCr3gitDQ0FAlJyfr1KlTOnr0qNLT07Os8+eff2bb7ogRIzR8+PAC6TNwJTh9+rRH94w5deqUBb0BAHjLyZOSJ6PX83UAXJpcj1G6a9cuffPNNypevLg6dOiQKYRdiYYMGaK4uDjX8+TkZEVGRnqxR4C1goODFRYWpsTExGzrOJ1O1axZ08JeAQCsVquWLnqz5+BgKSzMmv4AV6tcJagJEyboySefVExMjDZv3qyQkJCC6leWwsLCMo3QduDAAQUFBSkgIEAOh0MOhyPLOmE5fFr4+fkxahuuaXa7XQMGDNDQoUOzHXzDx8dH3bt3t7hnAAArdekiPfGElJJybpCOCzkcUp8+kq+v9X0DriYeXxPWunVrPfvssxo9erS++eYbywOYJDVq1Ejx8fFuZQsWLFCjRo0kSb6+vqpXr55bHafTqfj4eFcdAFmLi4tTo0aNMt0PzOFwyGazaeLEibruuuu81DsAgBWKFDk3JL3dfi5wnc/hOHek7MUXvdM34GricQhLT0/X77//rm7duuXbzE+cOKENGzZow4YNks4NQb9hwwbt3r1b0rnTBM+f3yOPPKK///5bzzzzjP788099+OGH+vLLL/XEE0+46sTFxWnChAmaMmWKtmzZon79+iklJUU9e/bMt34DV6OAgAAtWLBAL7/8suvIsc1mU0xMjBYtWqT777/fyz0EAFihQwdp+XKpTZtzYUySSpaUnn9eWrZMKlrUu/0DrgYeD1FfEBYvXqwWLVpkKu/evbsmT56sHj16aOfOnVq8eLHba5544gn98ccfKlOmjF588UX16NHD7fWjR4/WW2+9pcTERNWtW1cffPCBoqKiPO4XQ9TjWud0OpWcnCw/Pz8FBAR4uzsAAC85ffrcIBzBwf8LZMC1piCygVdD2OWKEAYAAABA8vJ9wgAAAAAAl44QBgAAAAAWIoQBAAAAgIUIYQAAAABgIUIYAAAAAFiIEAYAAAAAFiKEAQAAAICFCGEAAAAAYCFCGAAAAABYiBAGAAAAABYihAEAAACAhQhhAAAAAGAhQhgAAAAAWIgQBgAAAAAWIoQBAAAAgIUIYQAAAABgIUIYAAAAAFiIEAYAAAAAFiKEAQAAAICFCGEAAAAAYCFCGAAAAABYiBAGAAAAABYihAEAAACAhQhhAAAAAGAhQhgAAAAAWIgQBgAAAAAWIoQBAAAAgIUIYQAAAABgIUIYAAAAAFiIEAYAAAAAFiKEAQAAAICFCGEAAAAAYCFCGAAAAABYiBAGAAAAABYihAEAAACAhQhhAAAAAGAhQhgAAAAAWOiyCGFjxoxR+fLl5e/vr6ioKK1evTrbus2bN5fNZsv0aNeunatOjx49Mk1v3bq1FYsCAAAAADny8XYHpk+frri4OI0bN05RUVEaNWqUYmNjtXXrVpUqVSpT/W+++UZnzpxxPT9y5Ijq1Kmje+65x61e69atNWnSJNdzPz+/glsIAAAAAPCQ14+Evfvuu+rdu7d69uyp6tWra9y4cQoMDNTEiROzrF+iRAmFhYW5HgsWLFBgYGCmEObn5+dWr3jx4lYsDgAAAADkyKsh7MyZM1q3bp1iYmJcZXa7XTExMVqxYoVHbXzyySfq0qWLChcu7Fa+ePFilSpVSlWqVFG/fv105MiRbNtITU1VcnKy2wMAAAAACoJXQ9jhw4eVnp6u0NBQt/LQ0FAlJiZe9PWrV6/Wpk2b1KtXL7fy1q1b69NPP1V8fLxGjhypJUuWqE2bNkpPT8+ynREjRig4ONj1iIyMzPtCAQAAAEAOvH5N2KX45JNPVKtWLTVo0MCtvEuXLq7/16pVS7Vr19b111+vxYsXq2XLlpnaGTJkiOLi4lzPk5OTCWIAAAAACoRXj4SVLFlSDodDBw4ccCs/cOCAwsLCcnxtSkqKpk2bpocffvii86lYsaJKliyp7du3Zzndz89PQUFBbg8AAAAAKAheDWG+vr6qV6+e4uPjXWVOp1Px8fFq1KhRjq/96quvlJqaqgceeOCi89m7d6+OHDmi8PDwS+4zAAAAAFwKr4+OGBcXpwkTJmjKlCnasmWL+vXrp5SUFPXs2VOS1K1bNw0ZMiTT6z755BN17NhR1113nVv5iRMn9PTTT2vlypXauXOn4uPj1aFDB1WqVEmxsbGWLBMAAAAAZMfr14R17txZhw4d0tChQ5WYmKi6detq7ty5rsE6du/eLbvdPStu3bpVy5cv1/z58zO153A49Pvvv2vKlCk6duyYIiIidNttt+mVV17hXmEAAAAAvM5mjDHe7sTlJjk5WcHBwUpKSuL6MAAAAOAaVhDZwOunIwIAAADAtYQQBgAAAAAWIoQBAAAAgIUIYQAAAABgIUIYAAAAAFiIEAYAAAAAFiKEAQAAAICFCGEAAAAAYCFCGAAAAABYiBAGAAAAABYihAEAAACAhQhhAAAAAGAhQhgAAAAAWIgQBgAAAAAWIoQBAAAAgIUIYQAAAABgIUIYAAAAAFiIEAYAAAAAFiKEAQAAAICFCGEAAAAAYCFCGAAAAABYiBAGAAAAABYihAEAAACAhQhhAAAAAGAhQhgAAAAAWIgQBgAAAAAWIoQBAAAAgIUIYQAAAABgIUIYAAAAAFiIEAYAAAAAFiKEAQAAAICFCGEAAAAAYCFCGAAAAABYiBAGAAAAABYihAEAAACAhQhhAAAAAGAhQhgAAAAAWIgQBgAAAAAWuixC2JgxY1S+fHn5+/srKipKq1evzrbu5MmTZbPZ3B7+/v5udYwxGjp0qMLDwxUQEKCYmBht27atoBcDAAAAAC7K6yFs+vTpiouL07Bhw7R+/XrVqVNHsbGxOnjwYLavCQoK0v79+12PXbt2uU1/88039cEHH2jcuHFatWqVChcurNjYWJ0+fbqgFwcAAAAAcuT1EPbuu++qd+/e6tmzp6pXr65x48YpMDBQEydOzPY1NptNYWFhrkdoaKhrmjFGo0aN0gsvvKAOHTqodu3a+vTTT7Vv3z7NmjUry/ZSU1OVnJzs9gAAAACAguDVEHbmzBmtW7dOMTExrjK73a6YmBitWLEi29edOHFC5cqVU2RkpDp06KDNmze7piUkJCgxMdGtzeDgYEVFRWXb5ogRIxQcHOx6REZG5sPSAQAAAEBmXg1hhw8fVnp6utuRLEkKDQ1VYmJilq+pUqWKJk6cqNmzZ+uzzz6T0+lU48aNtXfvXklyvS43bQ4ZMkRJSUmux549ey510QAAAAAgSz7e7kBuNWrUSI0aNXI9b9y4sapVq6bx48frlVdeyVObfn5+8vPzy68uAgAAAEC2vHokrGTJknI4HDpw4IBb+YEDBxQWFuZRG4UKFdKNN96o7du3S5LrdZfSJgAAAAAUFK+GMF9fX9WrV0/x8fGuMqfTqfj4eLejXTlJT0/Xxo0bFR4eLkmqUKGCwsLC3NpMTk7WqlWrPG4TAAAAAAqK109HjIuLU/fu3XXzzTerQYMGGjVqlFJSUtSzZ09JUrdu3VS6dGmNGDFCkvTyyy+rYcOGqlSpko4dO6a33npLu3btUq9evSSdGzlx0KBBevXVV1W5cmVVqFBBL774oiIiItSxY0dvLSYAAAAASLoMQljnzp116NAhDR06VImJiapbt67mzp3rGlhj9+7dstv/d8Du6NGj6t27txITE1W8eHHVq1dPv/zyi6pXr+6q88wzzyglJUV9+vTRsWPH1KRJE82dOzfTTZ0BAAAAwGo2Y4zxdicuN8nJyQoODlZSUpKCgoK83R0AAAAAXlIQ2cDrN2sGAAAAgGsJIQwAAAAALEQIAwAAAAALEcIAAAAAwEKEMAAAAACwECEMAAAAACxECAMAAAAACxHCAAAAAMBChDAAAAAAsBAhDAAAAAAsRAgDAAAAAAsRwgAAAADAQoQwAAAAALAQIQwAAAAALEQIAwAAAAALEcIAAAAAwEKEMAAAAACwECEMAAAAACxECAMAAAAACxHCAAAAAMBChDAAAAAAsBAhDAAAAAAsRAgDAAAAAAsRwgAAAADAQoQwAAAAALAQIQwAAAAALEQIAwAAAAALEcIAAAAAwEKEMAAAAACwECEMAAAAACxECAMAAAAACxHCAAAAAMBChDAAAAAAsBAhDAAAAAAsRAgDAAAAAAsRwgAAAADAQoQwAAAAALDQZRHCxowZo/Lly8vf319RUVFavXp1tnUnTJig6OhoFS9eXMWLF1dMTEym+j169JDNZnN7tG7duqAXAwAAAAAuyushbPr06YqLi9OwYcO0fv161alTR7GxsTp48GCW9RcvXqyuXbtq0aJFWrFihSIjI3Xbbbfpn3/+cavXunVr7d+/3/X44osvrFgcAAAAAMiRzRhjvNmBqKgo1a9fX6NHj5YkOZ1ORUZG6rHHHtPgwYMv+vr09HQVL15co0ePVrdu3SSdOxJ27NgxzZo1K099Sk5OVnBwsJKSkhQUFJSnNgAAAABc+QoiG3j1SNiZM2e0bt06xcTEuMrsdrtiYmK0YsUKj9o4efKkzp49qxIlSriVL168WKVKlVKVKlXUr18/HTlyJNs2UlNTlZyc7PYAAAAAgILg1RB2+PBhpaenKzQ01K08NDRUiYmJHrXx7LPPKiIiwi3ItW7dWp9++qni4+M1cuRILVmyRG3atFF6enqWbYwYMULBwcGuR2RkZN4XCgAAAABy4OPtDlyKN954Q9OmTdPixYvl7+/vKu/SpYvr/7Vq1VLt2rV1/fXXa/HixWrZsmWmdoYMGaK4uDjX8+TkZIIYAAAAgALh1SNhJUuWlMPh0IEDB9zKDxw4oLCwsBxf+/bbb+uNN97Q/PnzVbt27RzrVqxYUSVLltT27duznO7n56egoCC3BwAAAAAUBK+GMF9fX9WrV0/x8fGuMqfTqfj4eDVq1Cjb17355pt65ZVXNHfuXN18880Xnc/evXt15MgRhYeH50u/AQAAACCvvD5EfVxcnCZMmKApU6Zoy5Yt6tevn1JSUtSzZ09JUrdu3TRkyBBX/ZEjR+rFF1/UxIkTVb58eSUmJioxMVEnTpyQJJ04cUJPP/20Vq5cqZ07dyo+Pl4dOnRQpUqVFBsb65VlBAAAAIAMXr8mrHPnzjp06JCGDh2qxMRE1a1bV3PnznUN1rF7927Z7f/LimPHjtWZM2d09913u7UzbNgwvfTSS3I4HPr99981ZcoUHTt2TBEREbrtttv0yiuvyM/Pz9JlAwAAAIALef0+YZcj7hMGAAAAQLoK7xMGAAAAANcaQhgAAAAAWIgQBgAAAAAWIoQBAAAAgIUIYQAAAABgIUIYAAAAAFiIEAYAAAAAFiKEAQAAAICFCGEAAAAAYCFCGAAAAABYiBAGAAAAABYihAEAAACAhQhhAAAAAGAhQhgAAAAAWIgQBgAAAAAWIoQBAAAAgIUIYQAAAABgIUIYAAAAAFiIEAYAAAAAFiKEAQAAAICFCGEAAAAAYCFCGAAAAABYiBAGAAAAABYihAEAAACAhQhhAAAAAGAhQhgAAAAAWIgQBgAAAAAWIoQBAAAAgIUIYQAAAABgIUIYAAAAAFiIEAYAAAAAFiKEAQAAAICFCGEAAAAAYCFCGAAAAABYiBAGAAAAABYihAEAAACAhQhhAAAAAGChyyKEjRkzRuXLl5e/v7+ioqK0evXqHOt/9dVXqlq1qvz9/VWrVi398MMPbtONMRo6dKjCw8MVEBCgmJgYbdu2rSAXAQAAAAA84vUQNn36dMXFxWnYsGFav3696tSpo9jYWB08eDDL+r/88ou6du2qhx9+WL/++qs6duyojh07atOmTa46b775pj744AONGzdOq1atUuHChRUbG6vTp09btVgAAAAAkCWbMcZ4swNRUVGqX7++Ro8eLUlyOp2KjIzUY489psGDB2eq37lzZ6WkpGjOnDmusoYNG6pu3boaN26cjDGKiIjQk08+qaeeekqSlJSUpNDQUE2ePFldunS5aJ+Sk5MVHByspKQkBQUF5dOSAgAAALjSFEQ28MmXVvLozJkzWrdunYYMGeIqs9vtiomJ0YoVK7J8zYoVKxQXF+dWFhsbq1mzZkmSEhISlJiYqJiYGNf04OBgRUVFacWKFVmGsNTUVKWmprqeJyUlSTq3wgEAAABcuzIyQX4eu/JqCDt8+LDS09MVGhrqVh4aGqo///wzy9ckJiZmWT8xMdE1PaMsuzoXGjFihIYPH56pPDIy0rMFAQAAAHBVO3LkiIKDg/OlLa+GsMvFkCFD3I6uHTt2TOXKldPu3bvzbUUjd5KTkxUZGak9e/ZwSqiXsA28j23gfWwD72L9ex/bwPvYBt6XlJSksmXLqkSJEvnWpldDWMmSJeVwOHTgwAG38gMHDigsLCzL14SFheVYP+PfAwcOKDw83K1O3bp1s2zTz89Pfn5+mcqDg4N5s3tZUFAQ28DL2AbexzbwPraBd7H+vY9t4H1sA++z2/NvTEOvjo7o6+urevXqKT4+3lXmdDoVHx+vRo0aZfmaRo0audWXpAULFrjqV6hQQWFhYW51kpOTtWrVqmzbBAAAAACreP10xLi4OHXv3l0333yzGjRooFGjRiklJUU9e/aUJHXr1k2lS5fWiBEjJEkDBw5Us2bN9M4776hdu3aaNm2a1q5dq48++kiSZLPZNGjQIL366quqXLmyKlSooBdffFERERHq2LGjtxYTAAAAACRdBiGsc+fOOnTokIYOHarExETVrVtXc+fOdQ2ssXv3brdDf40bN9bnn3+uF154Qc8995wqV66sWbNmqWbNmq46zzzzjFJSUtSnTx8dO3ZMTZo00dy5c+Xv7+9Rn/z8/DRs2LAsT1GENdgG3sc28D62gfexDbyL9e99bAPvYxt4X0FsA6/fJwwAAAAAriVevSYMAAAAAK41hDAAAAAAsBAhDAAAAAAsRAgDAAAAAAtdsyFszJgxKl++vPz9/RUVFaXVq1fnWP+rr75S1apV5e/vr1q1aumHH36wqKdXr9xsg8mTJ8tms7k9PB3tEpktXbpU7du3V0REhGw2m2bNmnXR1yxevFg33XST/Pz8VKlSJU2ePLnA+3k1y+02WLx4caZ9wGazKTEx0ZoOX4VGjBih+vXrq2jRoipVqpQ6duyorVu3XvR1fB/kj7ysf74L8tfYsWNVu3Zt102AGzVqpB9//DHH1/D+z1+53QbsAwXvjTfecN3yKieXui9ckyFs+vTpiouL07Bhw7R+/XrVqVNHsbGxOnjwYJb1f/nlF3Xt2lUPP/ywfv31V3Xs2FEdO3bUpk2bLO751SO320A6d6f4/fv3ux67du2ysMdXl5SUFNWpU0djxozxqH5CQoLatWunFi1aaMOGDRo0aJB69eqlefPmFXBPr1653QYZtm7d6rYflCpVqoB6ePVbsmSJ+vfvr5UrV2rBggU6e/asbrvtNqWkpGT7Gr4P8k9e1r/Ed0F+KlOmjN544w2tW7dOa9eu1a233qoOHTpo8+bNWdbn/Z//crsNJPaBgrRmzRqNHz9etWvXzrFevuwL5hrUoEED079/f9fz9PR0ExERYUaMGJFl/Xvvvde0a9fOrSwqKsr07du3QPt5NcvtNpg0aZIJDg62qHfXFklm5syZOdZ55plnTI0aNdzKOnfubGJjYwuwZ9cOT7bBokWLjCRz9OhRS/p0LTp48KCRZJYsWZJtHb4PCo4n65/vgoJXvHhx8/HHH2c5jfe/NXLaBuwDBef48eOmcuXKZsGCBaZZs2Zm4MCB2dbNj33hmjsSdubMGa1bt04xMTGuMrvdrpiYGK1YsSLL16xYscKtviTFxsZmWx85y8s2kKQTJ06oXLlyioyMvOivRMhf7AOXj7p16yo8PFytWrXSzz//7O3uXFWSkpIkSSVKlMi2DvtCwfFk/Ut8FxSU9PR0TZs2TSkpKWrUqFGWdXj/FyxPtoHEPlBQ+vfvr3bt2mV6j2clP/aFay6EHT58WOnp6QoNDXUrDw0NzfbaisTExFzVR87ysg2qVKmiiRMnavbs2frss8/kdDrVuHFj7d2714ouX/Oy2weSk5N16tQpL/Xq2hIeHq5x48ZpxowZmjFjhiIjI9W8eXOtX7/e2127KjidTg0aNEi33HKLatasmW09vg8Khqfrn++C/Ldx40YVKVJEfn5+euSRRzRz5kxVr149y7q8/wtGbrYB+0DBmDZtmtavX68RI0Z4VD8/9gWfXPUQ8JJGjRq5/SrUuHFjVatWTePHj9crr7zixZ4B1qhSpYqqVKniet64cWPt2LFD7733nqZOnerFnl0d+vfvr02bNmn58uXe7so1ydP1z3dB/qtSpYo2bNigpKQkff311+revbuWLFmSbQhA/svNNmAfyH979uzRwIEDtWDBAksHObnmQljJkiXlcDh04MABt/IDBw4oLCwsy9eEhYXlqj5ylpdtcKFChQrpxhtv1Pbt2wuii7hAdvtAUFCQAgICvNQrNGjQgNCQDwYMGKA5c+Zo6dKlKlOmTI51+T7If7lZ/xfiu+DS+fr6qlKlSpKkevXqac2aNXr//fc1fvz4THV5/xeM3GyDC7EPXLp169bp4MGDuummm1xl6enpWrp0qUaPHq3U1FQ5HA631+THvnDNnY7o6+urevXqKT4+3lXmdDoVHx+f7fm3jRo1cqsvSQsWLMjxfF1kLy/b4ELp6enauHGjwsPDC6qbOA/7wOVpw4YN7AOXwBijAQMGaObMmVq4cKEqVKhw0dewL+SfvKz/C/FdkP+cTqdSU1OznMb73xo5bYMLsQ9cupYtW2rjxo3asGGD63HzzTfr/vvv14YNGzIFMCmf9oW8jR9yZZs2bZrx8/MzkydPNn/88Yfp06ePKVasmElMTDTGGPPggw+awYMHu+r//PPPxsfHx7z99ttmy5YtZtiwYaZQoUJm48aN3lqEK15ut8Hw4cPNvHnzzI4dO8y6detMly5djL+/v9m8ebO3FuGKdvz4cfPrr7+aX3/91Ugy7777rvn111/Nrl27jDHGDB482Dz44IOu+n///bcJDAw0Tz/9tNmyZYsZM2aMcTgcZu7cud5ahCtebrfBe++9Z2bNmmW2bdtmNm7caAYOHGjsdrv56aefvLUIV7x+/fqZ4OBgs3jxYrN//37X4+TJk646fB8UnLysf74L8tfgwYPNkiVLTEJCgvn999/N4MGDjc1mM/PnzzfG8P63Qm63AfuANS4cHbEg9oVrMoQZY8x//vMfU7ZsWePr62saNGhgVq5c6ZrWrFkz0717d7f6X375pbnhhhuMr6+vqVGjhvn+++8t7vHVJzfbYNCgQa66oaGhpm3btmb9+vVe6PXVIWO48wsfGeu8e/fuplmzZpleU7duXePr62sqVqxoJk2aZHm/rya53QYjR440119/vfH39zclSpQwzZs3NwsXLvRO568SWa1/SW7vbb4PCk5e1j/fBfnroYceMuXKlTO+vr4mJCTEtGzZ0vXHvzG8/62Q223APmCNC0NYQewLNmOM8fy4GQAAAADgUlxz14QBAAAAgDcRwgAAAADAQoQwAAAAALAQIQwAAAAALEQIAwAAAAALEcIAAAAAwEKEMAAAAACwECEMAAAAACxECAMAAAAACxHCAAD4f+np6WrcuLE6derkVp6UlKTIyEg9//zzXuoZAOBqYjPGGG93AgCAy8Vff/2lunXrasKECbr//vslSd26ddNvv/2mNWvWyNfX18s9BABc6QhhAABc4IMPPtBLL72kzZs3a/Xq1brnnnu0Zs0a1alTx9tdAwBcBQhhAABcwBijW2+9VQ6HQxs3btRjjz2mF154wdvdAgBcJQhhAABk4c8//1S1atVUq1YtrV+/Xj4+Pt7uEgDgKsHAHAAAZGHixIkKDAxUQkKC9u7d6+3uAACuIhwJAwDgAr/88ouaNWum+fPn69VXX5Uk/fTTT7LZbF7uGQDgasCRMAAAznPy5En16NFD/fr1U4sWLfTJJ59o9erVGjdunLe7BgC4SnAkDACA8wwcOFA//PCDfvvtNwUGBkqSxo8fr6eeekobN25U+fLlvdtBAMAVjxAGAMD/W7JkiVq2bKnFixerSZMmbtNiY2OVlpbGaYkAgEtGCAMAAAAAC3FNGAAAAABYiBAGAAAAABYihAEAAACAhQhhAAAAAGAhQhgAAAAAWIgQBgAAAAAWIoQBAAAAgIUIYQAAAABgIUIYAAAAAFiIEAYAAAAAFiKEAQAAAICF/g8VgaZZuZ/s6gAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 5))\n", "ax = fig.add_subplot(111)\n", "cc = gs.zeros((n_points, 3))\n", "cc[:, 2] = gs.linspace(0, 1, n_points)\n", "\n", "visualization.plot(\n", " geodesic_ab_fisher(t),\n", " ax=ax,\n", " space=\"H2_poincare_half_plane\",\n", " label=\"point on geodesic\",\n", " color=cc,\n", ")\n", "\n", "ax.set_xlim(0.0, 4.0)\n", "ax.set_ylim(0.0, 2.0)\n", "ax.set_title(\"Geodesic between two normal distributions for the Fisher-Rao metric\")\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each point of the geodesic defines a normal distribution, and so we obtain an optimal interpolation between the distributions corresponding to ```point_a``` and ```point_b```, which we can visualize in terms of probability density functions." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pdfs = normal.point_to_pdf(geodesic_ab_fisher(t))\n", "x = gs.linspace(-3.0, 7.0, 100)\n", "\n", "fig = plt.figure(figsize=(10, 5))\n", "for i in range(n_points):\n", " plt.plot(x, pdfs(x)[i, :], color=cc[i, :])\n", "plt.title(\"Corresponding interpolation between pdfs\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another possibility to compare probability distributions is given by the $L^2$-Wasserstein metric, central in optimal transport. In the case of normal distributions, the $L^2$-Wasserstein metric induces the Euclidean geometry on the parameter space [[BGKL2017]](#References). Therefore, the Wasserstein distance between two normal distributions with different means and same variance (```point_a``` and ```point_b```) will not change when this common variance is increased (```point_c``` and ```point_d```), while the corresponding Fisher information distance will decrease, as can be deduced from the shape of the geodesic. This can be interpreted as a consequence of the increasing overlap of the corresponding probability densities, as noticed in [[CSS2015]](#References)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from geomstats.geometry.euclidean import Euclidean\n", "\n", "plane = Euclidean(2)\n", "\n", "point_c = gs.array([1.0, 3.0])\n", "point_d = gs.array([3.0, 3.0])\n", "\n", "geodesic_cd_fisher = normal.metric.geodesic(point_c, point_d)\n", "geodesic_ab_wasserstein = plane.metric.geodesic(point_a, point_b)\n", "geodesic_cd_wasserstein = plane.metric.geodesic(point_c, point_d)\n", "\n", "points = gs.stack((point_a, point_b, point_c, point_d))\n", "pdfs = normal.point_to_pdf(points)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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46qmnXNr3m2++4YknnmDHjh288MILvPvuuy4XnWspBekiIiIiIl5UUlXLX5fvBODOiX0azKduTteYUH4zvicAf/44m8oaq9f62NbsP1rB377cDcC9l/Rz65r9YowRID752XZsNo2mO0ydOpXKykpGjRrFbbfdxh133MHNN9/sfP0f//gHycnJjB8/niuuuIKbb775tGuhx8TE8PLLL3P22WczePBgPv/8cz788EM6d+7caPtnnnmG2NhYzjrrLC699FImTZrEsGHDmj1HS/Y5WUREBB9++CGbNm1i6NCh/OlPf+Lxxx93ad+77rqLtWvXMnToUB555BGeeeYZJk3ybh0Ck72D5YGUlJQQHR1NcXExUVEdc26PiIi0Lfpu8jxdU2lLnvnfdp77Yic9u4Tz2Z3nEmBxfZysssbKxGdWkFdUyR3n9+Z3F3SMrJLf/HMdi7cUcFbPzvzrptFNprk35khZNec+sYzyGisvXDeMSwYnnX4nF1VVVbFnzx66d+/uV1NwJkyYQGZmptcLnnV0zX0+3Ple0ki6iIiIiIiXHC6r5u9f7wHg95P6uhWgA4QGWfjTJcb81/krdpF7rMLjfWxrvtl5mMVbCrCYTcy+dIBbAToYxfem16fHP/2/7dRZ/bN4mHRcCtJFRERERLzk+S92UlFjZUhKNJMGJLboGBcNTGRMj05U19l47NNtHu5h22Kz2Xnow60A/HJMN/omRrboODeN60Gn8CB2Hy7nvXW5nuyiiNcpSBcRERER8YL9Ryt4c7WxlvMfJme4PSLsYDKZuO/H/QH4dHMBhSVVp9nDf63afYTthaVEBAdw58TeLT5ORHAAt53XC4Bnl/5AVW3Hmc/fmOXLlyvV3Y8oSBcRERER8YIXV+yixmrjnF5xnN0r7oyONSA5mhHdYrHa7O16ZPjt7/YDcFlmMjFhQWd0rJ+PTqNrTCj5xVW8U39cEX+gIF1ERERExMOqaq18mHUAwDmie6auHpkKwL/X7m+XVcuPldeweHMBANeMTDvj44UEWpg+rjsA765TkC7+Q0G6iIiIiIiH/W9rIaXVdaTEhjK6eyePHPOSwUlEBgew70gFq3Yf8cgx25JFG/KosdronxTFwK6eWZXhJ5ldCbSY2JxXwvaCUo8cU8TbFKSLiIiIiHjYwvVGSvoVQ7tiNrdsLvrJwoIC+ElmMnA8Lby9sNvtzpT0a0eltnj+/sk6hQdxXl9jre+FG9rvNAFpXxSki4iIiIh40MGSKr7ccQiAy4elePTYjjTwxZsLOFZe49Fj+1LW/iK2F5YSHGDmJ5ldPXrsK+p/Bh9syMPaDqcJSPujIF1ERERExIP+k3UAmx2Gd4ule1y4R489sGsU/ZOiqLHa+CArz6PH9iXHKPolg5KIDg306LF/lBFPTFgghSXVfLPzsEePLeINCtJFRERERDzofUeq+zDPjgiDsRzbNaOMAnJvr9mP3e7/I8Nl1XX893ujyJ6jOJ4nBQWY+ckQY5qAYxqCuCY9Pb3B0m0FBQVccMEFhIeHExMT47N+nam9e/diMpnIyspya7+Tr4e3KEgXEREREfGQrQdK2FZQSpDFzI8HJXvlHJcN6UpwgJnthaVk7S/yyjla00ffH6CixkqPuHBGeajI3skcKe+LtxRQVl3nlXN0BHPnziU/P5+srCx27Njh6+60WwrSRUREREQ8xDGKPrF/PNFhnk3bdogOC+SSQUmAsRybv3un/j1cPdJzBeNONiQlmh5dwqmqtfHJpnyvnKMj2LVrF8OHD6d3797Ex8f7ujvtloJ0EREREREPqLPa+E/9PPGferhg3Ml+Otw4/v+2FPp1MbTCkio25BRhMsHlQz0/PcDBZDI5fyYeTXm326Gm3DcPN6Y6TJgwgRkzZjBjxgyio6OJi4vjvvvuazBd4uDBg1x66aWEhobSvXt3/vWvfzU4Rnp6Ou+//z6vv/46JpOJG264AbvdzgMPPEBaWhrBwcEkJydz++23N9uXDz/8kJEjRxISEkJcXByXX355k2137drFZZddRkJCAhEREYwcOZLPP//8lH79+c9/5le/+hWRkZGkpaXx0ksvNWizZs0ahg4dSkhICCNGjGDDhg2nvWanux7eFNBqZxIRERERace++uEwh8tq6BwexLl9unj1XKO6dyIyJIAj5TVk7S9ieLdYr57PW5ZmHwRgSEoM8VEhXj3XlKFdeep/21m1+yi5xypIiQ0784PWVsCfvTOt4bT+eACCXC9M+Nprr3HjjTeyZs0a1q5dy80330xaWhrTp08H4IYbbuDAgQMsW7aMwMBAbr/9dg4ePOjc/7vvvmPq1KlERUXx7LPPEhoayvvvv8/cuXN5++23GTBgAAUFBXz//fdN9uHjjz/m8ssv509/+hOvv/46NTU1fPLJJ022Lysr4+KLL+bRRx8lODiY119/nUsvvZTt27eTlpbmbPf000/z8MMP88c//pH33nuPW265hfHjx9O3b1/Kysr48Y9/zAUXXMAbb7zBnj17uOOOO057vU53PbxJQbqIiIiIiAd8XJ9GfemQZAIt3k1YDbSYGd+nCx9tzGdpdqEfB+mFAEzs5/3U6a4xoYzp3pmVu4/w6aYCpp/bw+vnbEtSU1OZO3cuJpOJvn37smnTJubOncv06dPZsWMHn376KWvWrGHkyJEAvPLKK/Tr18+5f5cuXQgODiY0NJTExEQAcnJySExMZOLEiQQGBpKWlsaoUaOa7MOjjz7KNddcw4MPPujcNmTIkCbbDxkypMHrDz/8MIsWLeK///0vM2bMcG6/+OKLufXWWwG45557mDt3LsuWLaNv3768+eab2Gw2XnnlFUJCQhgwYAC5ubnccsstTZ7XlevhTQrSRURERETOkM1mZ/l2Y230C/sntMo5J/ZL4KON+XyeXcgfJme0yjk9qbLGytf1S6Kd3691rtkF/RNYufsIy3cc9EyQHhhmjGj7QqB7mQBjxoxpMOd/7NixPP3001itVrKzswkICGD48OHO1zMyMk5bwf2qq65i3rx59OjRg8mTJ3PxxRdz6aWXEhDQeJiZlZXlHLl3RVlZGQ888AAff/wx+fn51NXVUVlZSU5OToN2gwcPdv6/yWQiMTHROeqdnZ3N4MGDCQk5nqkxduzYZs/b0uvhKZqTLiIiIiJyhrYcKOFwWTXhQRZGpHunQvnJJvTtgsVsYkdhGfuPVrTKOT3p652Hqa6z0TUmlIzEyFY553kZxoj9mj1HPVPl3WQyUs598fBSkT13pKamsn37dv76178SGhrKrbfeyrnnnkttbW2j7UNDQ906/t13382iRYv485//zFdffUVWVhaDBg2ipqamQbvAwIZFGk0mEzabzb0304YoSBcREREROUPLthujduf0jiMooHX+xI4JC3KmuX9enzbuTxyp7uf3i/daVfeTdY8LJ71zGLVWO9/Uj+J3FKtXr27wfNWqVfTu3RuLxUJGRgZ1dXWsW7fO+fr27dspKio67XFDQ0O59NJLee6551i+fDkrV65k06ZNjbYdPHgwS5cudbnP33zzDTfccAOXX345gwYNIjExkb1797q8P0C/fv3YuHEjVVVVzm2rVq1qdp8zuR6eoCBdREREROQMOYL08/q27rJUF9SniTsKsPkLm83O0m1Gnye2Uqq7w4T6n9Hy7f51zc5UTk4OM2fOZPv27bz11lv85S9/cRZQ69u3L5MnT+bXv/41q1evZt26ddx0002nHflesGABr7zyCps3b2b37t288cYbhIaG0q1bt0bbz549m7feeovZs2eTnZ3Npk2bePzxx5s8fu/evVm4cCFZWVl8//33XHfddW6PkF933XWYTCamT5/O1q1b+eSTT3jqqaea3ael18NTfBqkv/jiiwwePJioqCiioqIYO3Ysn376aZPtFyxYgMlkavA4cW6BiIiIiEhrO1pfYR1gfF/vVnU/2fn1BddW7zlCaVXjKcZt0aa8Yg6VGtMDRvdonekBDhPqf0bLth1qsARZezd16lQqKysZNWoUt912G3fccQc333yz8/V//OMfJCcnM378eK644gpuvvnm066FHhMTw8svv8zZZ5/N4MGD+fzzz/nwww/p3Llzo+0nTJjAu+++y3//+18yMzP50Y9+xJo1a5o8/jPPPENsbCxnnXUWl156KZMmTWLYsGFuve+IiAg+/PBDNm3axNChQ/nTn/7U7I0Bh5ZcD08x2X34yfzwww+xWCz07t0bu93Oa6+9xpNPPsmGDRsYMGDAKe0XLFjAHXfcwfbt253bTCYTCQmu330rKSkhOjqa4uJioqKiPPI+REREzoS+mzxP11Ra0wcb8rjznSwyEiNZfOe5rX7+Hz21nN2Hy3nhumFcMjip1c/fEs/8bzvPfbGTiwYm8uIvhp9+Bw+qqrWS+dD/qKq18ekd4+iX5Pq/EVVVVezZs4fu3bv71WDhhAkTyMzMZN68eb7uSrvW3OfDne8ln46kX3rppVx88cX07t2bPn368OijjxIREdHsHAFHtT7Hw50AXURERETE05yp7hmtm+ru4BhN96d56Uvq0/Nbq6r7iUICLZzVMw44/rMTaUvazJx0q9XK22+/TXl5ebMl8cvKyujWrRupqalcdtllbNmypdnjVldXU1JS0uAhIiIiIuIJVpudFTuMpddaez66gyPQXbb9IHXWtl/ROq+okuz8EkwmOK+Vpwc4OM67fNshn5xfpDk+D9I3bdpEREQEwcHB/OY3v2HRokX079+/0bZ9+/bl1Vdf5T//+Q9vvPEGNpuNs846i9zc3CaPP2fOHKKjo52P1NRUb70VEREREelgsvYXUVRRS2RIAMPSYnzShxHdYokODaSoopb1OUU+6YM7vqgf8R+WFkvniGCf9MFRPG5dzjGKK/xnLn9LLV++XKnufsTnQXrfvn3Jyspi9erV3HLLLVx//fVs3bq10bZjx45l6tSpZGZmMn78eBYuXEiXLl3429/+1uTxZ82aRXFxsfOxf/9+b70VEREREelgHBXCz+3ThQCLb/60DrCYncXQlm5r+ynvjqrujjR9X0jtFEav+AisNjtf7dRourQtPg/Sg4KC6NWrF8OHD2fOnDkMGTKEZ5991qV9AwMDGTp0KDt37myyTXBwsLN6vOMhIiIiIuIJvlp67WSOIH3lriM+7cfp1FptrNlzFIAJfXx7zc47ocq7uzpSVXhxnac+Fz4P0k9ms9morq52qa3VamXTpk0kJflHFUsRERERaT8OllSxOc+odzS+j2/mVjuM6WEsebU5r5iSNrwU26a8YipqrMSEBZKRGOnTvjhurKzYcRCbzbXgymKxAFBTU+O1fon/cnwuHJ+TlgrwRGdaatasWVx00UWkpaVRWlrKm2++yfLly/nss88AYy2/rl27MmfOHAAeeughxowZQ69evSgqKuLJJ59k37593HTTTb58GyIiIiLSATkKxg1OiaZLpG/mVjskRYeS3jmMvUcq+G7PUZ9UTXeFY6R/dPdOmM0mn/ZlRHonwoMsHC6rYcuBEgalRJ92n4CAAMLCwjh06BCBgYGYzW1uzFN8xGazcejQIcLCwggIOLMw26dB+sGDB5k6dSr5+flER0czePBgPvvsMy644AIAcnJyGnzwjx07xvTp0ykoKCA2Npbhw4fz7bffNlloTkRERETEW1bXp22f3SvOxz0xjOnRmb1HKli1+0ibDdJX7TaCdMfIvy8FBZgZ06MzS7cdZPWeIy4F6SaTiaSkJPbs2cO+fftaoZfiT8xmM2lpaZhMZ3YDyqdB+iuvvNLs68uXL2/wfO7cucydO9eLPRIRERERcc3qPcdHhduCMT068/Z3+1m1+6ivu9KoWquNtXuPAW0jSAcY1b0TS7cdZNXuo9w0rodL+wQFBdG7d2+lvMspgoKCPJJd4dMgXURERETEHx0oqmT/0UrMJhjeLdbX3QGOB75bDhRTXFlLdGigj3vU0MbcYiprrcSGBdI3wbfz0R1G1d9g+W7vUWw2u8sp+GazmZCQEG92TTowTaIQERGRM/LCCy+Qnp5OSEgIo0ePZs2aNU22XbhwISNGjCAmJobw8HAyMzP55z//2aDNDTfcgMlkavCYPHmyt9+GiFu+22uMVg/sGk1kSNsIhhOjQ+geF47NDmv3tr3RdEeq++junX0+H91hYNdowoIsFFfWsuNgqa+7IwIoSBcREZEz8M477zBz5kxmz57N+vXrGTJkCJMmTeLgwYONtu/UqRN/+tOfWLlyJRs3bmTatGlMmzbNWTTWYfLkyeTn5zsfb731Vmu8HRGXOVLKR6W3jVR3hzE9jP60xaXYjs9HbzvXLNBidmZCrG6j0wSk41GQLiIiIi32zDPPMH36dKZNm0b//v2ZP38+YWFhvPrqq422nzBhApdffjn9+vWjZ8+e3HHHHQwePJivv/66Qbvg4GASExOdj9jYtpFOLOKwpn4++qg2Mh/dwZHyvmpP2wrSa+qOz0cf27NtFNpzcNxocazfLuJrCtJFRESkRWpqali3bh0TJ050bjObzUycOJGVK1eedn+73c7SpUvZvn075557boPXli9fTnx8PH379uWWW27hyJHmA47q6mpKSkoaPES85XBZNbsOlQNtN0jfcqCE4sq2s176prwiKmutdAoPond8hK+708Do+mu2es9R7HbX1ksX8SYF6SIiItIihw8fxmq1kpDQcKmnhIQECgoKmtyvuLiYiIgIgoKCuOSSS/jLX/7iXH4VjFT3119/naVLl/L444+zYsUKLrroIqxWa5PHnDNnDtHR0c5Hamrqmb9BkSY4RlwzEiOJCQvycW8aSogKoUdcOHY7fNeGRoYd0wPawvroJxucEk1QgJnDZdXsPlzu6+6IKEgXERGR1hUZGUlWVhbfffcdjz76KDNnzmyw7Oo111zDT37yEwYNGsSUKVP46KOP+O67705ZmvVEs2bNori42PnYv3+/99+IdFiOIL2tjaI7OEaGHXPA24K2tD76yUICLWSmxgBKeZe2QUG6iIiItEhcXBwWi4XCwsIG2wsLC0lMTGxyP7PZTK9evcjMzOSuu+7iyiuvZM6cOU2279GjB3FxcezcubPJNsHBwURFRTV4iHjL6j2OUeG2F3ACjO1p9GtlGwnSG85Hb5vXbEx3zUuXtkNBuoiIiLRIUFAQw4cPZ+nSpc5tNpuNpUuXMnbsWJePY7PZqK6ubvL13Nxcjhw5QlJS0hn1V8QTiitq2VZg1DwY2b1tFjR0BJxb80sorvD9vPSNuW13PrrDqPobLqt3H9G8dPE5BekiIiLSYjNnzuTll1/mtddeIzs7m1tuuYXy8nKmTZsGwNSpU5k1a5az/Zw5c1iyZAm7d+8mOzubp59+mn/+85/84he/AKCsrIzf//73rFq1ir1797J06VIuu+wyevXqxaRJk3zyHkVO9N3eo9jt0CMunPjIEF93p1HxUSH06GLMS1/TBtZLP3HpNZOpbc1HdxjWLYYAs4kDxVXkHqv0dXekgwvwdQdERETEf1199dUcOnSI+++/n4KCAjIzM1m8eLGzmFxOTg5m8/ExgfLycm699VZyc3MJDQ0lIyODN954g6uvvhoAi8XCxo0bee211ygqKiI5OZkLL7yQhx9+mODgYJ+8R5ETOYLe0W1ore/GjO7emd2Hylmz5wgX9E84/Q5etKY+1b2tTg8ACAsKYFBKNBtyiliz5yipncJ83SXpwBSki4iIyBmZMWMGM2bMaPS1k4u9PfLIIzzyyCNNHis0NJTPPvvMk90T8ajVbbxonMPwbrG8tSaHDTlFPu2HzWZnQ84xZ5/aslHdOzmD9J8OT/F1d6QDU7q7iIiIiIgLyqrr2JxXDByfw9xWDUuLAWBTXjE1dTaf9WP34TJKq+oICTSTkRjps364YnT9jZfVe9pGwT3puBSki4iIiIi4YEPOMaw2O11jQukaE+rr7jSre1w40aGBVNfZnIXufGF9/Uj+4JQYAixtO/QYkd4Jswn2HqngYEmVr7sjHVjb/k0REREREWkj1u8rAmBEettO2wYwmUwMrR9NX7/vmM/64Uh1d/SlLYsKCaRPgjHav97H0wSkY1OQLiIiIiLigqz9RsCZmRrj2464aFiacTNhw/4in/XBMSfe0Ze2zvGzzfLhNRNRkC4iIiIichp2u90ZuPlLkO4YvfZV8biy6jq2F5YaffGTa3Y8SPdd9oGIgnQRERERkdPIOVrBsYpagixm+idH+bo7LhmSGoPJZPT9cFl1q5//+/1F2O3QNSaU+Ki2uab8yYbWj/hvyi3GarP7uDfSUSlIFxERERE5Dccoev/kKIIDLL7tjIuiQgLpHR8B+GY03TEffVgbX3rtRL3iIwgPslBeY+WHg6W+7o50UArSRUREREROwxHk+kuqu8PQ1Pp56Tmtn77tuGb+kuoOYDGbGJwSA0CWiseJjyhIFxERERE5DUfxNX+oUn4iZ4X3Vg7S7Xa7316zTB/P5RdRkC4iIiIi0ozqOivZB4y1xv1tJN2Rar4xt5g6q63VzrvvSAVHy2sICjAzIDm61c7rCarwLr6mIF1EREREpBlbD5RQY7XRKTyItE5hvu6OW3p1iSAyOICKGis7Csta7bwb6qujD0yOIijAv0IOR3r+joOllFXX+bYz0iH512+MiIiIiEgrO3HpNZPJ5NvOuMlsNjGkPuhszZT39fuKgOPV0v1JfFQIXWNCsdthY26Rr7sjHZCCdBERERGRZvjb+ugnG+aDOdaOkfRhfhikg1LexbcUpIuIiIiINMNfK7s7OEazHYGzt1XWWMnOL60/d0yrnNPTHD9rFY8TX1CQLiIiIiLShCNl1eQcrQBwpo37G0fAuftQOUUVNV4/38bcIqw2OwlRwSRFh3j9fN7guLmQtb8Iu93u285Ih6MgXURERESkCd/Xz0nu2SWc6NBA33amhWLDg+gRFw60zsiwY+m1YWmxfjeH32Fg12gCzCYOlVZzoLjK192RDibA1x0QkdZntVr56quvyM/PJykpiXHjxmGxWFq1bUvai4iItLYsZ6q7f86tdhiSGsPuw+VszC3mvIx4r57LUWzNXzMPAEICLWQkRbI5r4SsnCK6xoT6ukvSgShIF2mjvBUcL1y4kDvuuIPc3FzntpSUFJ599lmuuOKKVmnbkvbevFkgIiLSFMeocKafzq12GNQ1mkUb8tiUV+z1cznOMbirf62PfrLM1BgjSN9/jEsGJ/m6O9KBKN1dpBVZrVaWL1/OW2+9xfLly7FarY22W7hwIenp6Zx33nlcd911nHfeeaSnp7Nw4cIzbnvllVc2CIwB8vLyuPLKKxvs4622LW3vjesBrv9MRESk47HZ7HxfH6QP9eNRYYBBKUbAvCmvyKvnOVZew/6jlQAM8Psg3cieUIV3aXX2Dqa4uNgO2IuLi33dFWkn6urq7MuWLbO/+eab9mXLltnr6uoabff+++/bU1JS7IDzkZKSYn///fdPaWcymRq0A+wmk8luMpkatHenbV1d3SnnP3mf1NRUe11dndfautsPb14Pd34mLfl5i7hD302ep2sqnrDzYKm92z0f2fv86RN7TZ3V1905I2VVtfbu//eRvds9H9kLiyu9dp4vdxy0d7vnI/v4J77w2jlay4k//1o///mL77nzvaSRdJFGeHrE29WRY6vVyh133NFoFVHHtjvvvBOr1epWW4CvvvrqlPOfvM/+/fv56quvvNbW3X5483q4O5rv2Eej9CIiHcfm+rTtAclRBFr8+8/m8OAAenaJAPBqyvvGXOPYA/18FB2ge+dwIoIDqK6zsfNQma+7Ix2If/9rI+2T3Q7lR+DYPuO/Hlr2wh8Cb28Gx/n5+U22PVF+fr7X2rrbD29dD3cDevBuij54KaD30u+SiEhHsak+4BzUDgJOODHl3XtBuuPGxuAU/79mZrOJAclRwPHPgkhrUJAubUdlEax6EZ4bCk/2gGcHG/99bqixvbLolF3aW+DtzeA4Kcm1gidJSUlea+tuP7x1Pdy9weHtUXqPB/Qt+F0SEZFTOYLZ9jAqDMdvNmz2YpCuayZy5hSkS9uw83N4pj8sngXH9jZ87dheY/sz/Y129dpj4O3N4HjcuHGkpKQ0uV6pyWQiNTWVcePGea2tu/3w1vVw9waHN0fpPR7Qt+B3SURETmWz2dl6oARofwHnRi+NCh8rryH3mFE0rr1cM8f72Fz/WRBpDQrSxfd2fg7/+hnUVnK8fteJ6rfVVhrtdn7eZGCTm5vr14H36QJYwOXg+MS2ABaLhWeffbbZPsybNw+LxeK1tif2o7GfieO9ONo73mNTWnqzwN0bHN4apW9JQP/Tn/60yYD+69cedPt3SUREGrfvaAWl1XUEB5jpHR/h6+54RP/kKMwmOFhaTWFJlceP7xhF7x4XTlRIoMeP7wuOIH3rgRKsNk0bk9bh0yD9xRdfZPDgwURFRREVFcXYsWP59NNPm93n3XffJSMjg5CQEAYNGsQnn3zSSr0Vr6gsgnem1s+VtZ2msQ3sduzvTOW+39/eaGADRnDjb4F3YmKicy3v0wW8d999t8vBsaOtwxVXXMG8efOIiopq0C46Opp58+Y1WJ/cW20B+vXrx3XXXUdoaGiD7QkJCbz33nvO9haLhd///vfNvseTbxY097lwNfiHhjc4vDVK725Af+uttzbZLjoYhu54pv79u/a7xDtTlfouItIER8DZLymKAD8vGucQFhRAr/obDt6YY93eUt0BesSFEx5kobLWyi4Vj5NW4tN/cVJSUnjsscdYt24da9eu5Uc/+hGXXXYZW7ZsabT9t99+y7XXXsuNN97Ihg0bmDJlClOmTGHz5s2t3HPxmO/fgtoKTh9UONigtoLz4w4126o1Au+EhIRm250ceDcVPAIMHjyYHTt2AMcD3vDw8AZtIiIiGDNmDNnZ2WRnZ7vdFnA+nzhxIldeeSVTpkzhyiuv5Pzzz2/Vts899xw1NTXcfPPN/OIXv2Dy5Mmce+65/OQnP6Ffv36nHHfMmDGnvMfw8PBTbgD069ePCy+88JTgPzQ0lAsvvNB5bFeC/xNvcMTFxZ1y/pM5gvqamppm2zkkJSWxdu1al9rm5+fzxhtvUFhY2GSbqUMCCQ2wY3Lzd4nv33axvYhIx7LFGXBGnaalfxnUNQbwTvE4R+A/uB0F6Wazif71xeM0L11aS4AvT37ppZc2eP7oo4/y4osvsmrVKgYMGHBK+2effZbJkyc7/7h++OGHWbJkCc8//zzz589vlT6LB9ntsPpvLdmR20cH8pc1zQdDeXl5LgfeCQkJnH322URFRVFS0vSco+joaM4++2xMJhPnn38+b775ZpNtzz//fOfo+ZQpU7juuutYtGgRlZWVzjZRUVFMmjQJu93OBx98QN++fQEoKytj0qRJREREUFZWRmRkJGlpaZhMJrZu3dritosWLeLw4cMMHDiwwci+3W5v9bb9+/fHZDIRExNDz549m2174YUXcsEFF5CTk0NpaanzvZaXl2Oz2TCbzdhsNhYtWkRUVBR33XUX+/fvp7S0lMjISFJTU9m2bdsp123MmDFs3ryZsrLjd8YjIyMZMGCA89gA//3vfxk0aBCrVq1q8uf9zDPPYDKZ2L9/P6GhoQ1+zidLSUnh7LPP5o033miyzYkSEhL429+a/1357agWphWung+jfw3NZHqIiHREjiC2vVR2dxjUNYr313sn4GyPI+lgvJ/v9h5jU14xVwxrPhNPxBN8GqSfyGq18u6771JeXs7YsWMbbbNy5UpmzpzZYNukSZP44IMPmjxudXU11dXVzufNBWDSyiqOwrE9bu9mAnp1stAp1MTRyqZHpy0WC926dTttwBQWFka3bt3Iy8tj6NChrFixosm2mZmZ5OXlOY//4x//mBUrVlBaWupsExUVxbnnnovZbCYnJ4f09HRycnKwWCzcfPPNFBUVOYPHtLQ0zGYzxcXFZGdnk5OTA8C2bdvo1q3bKenjYAR4Z9I2NTX1lNR7k8nU5tuaTCbS09Od7U+8Zo5r7GhvsVgatG3qWowdO7ZB8O/4mZSWljbaNi0tjU8//bTBzzsiIoLhw4czYsQIcnJy2LFjB+effz4fffTRKT8Phz/96U/k5eVRXV1NeHg45eXlTbZNSkqiW7duHDt2rMk2nUNN9OpkafL1ptmN38HKYxDWqQX7i4i0T3a73RnEtreAc1BKDAAbPRykHy2vIa/IUTSuvWUfqMK7tC6fB+mbNm1i7NixVFVVERERwaJFi+jfv3+jbQsKCk5JMU5ISKCgoKDJ48+ZM4cHH3zQo30WD6k5s3k9kUFwtInYOzQ0lIyMDCoqKsjMzGTlypVNHmfIkCFUVFQAEB8fz09/+lP+97//nRJ4X3DBBZjNZuf2qqoqMjMzGTp06ClBns1mY8eOHc62paWlVFVVERkZSUxMzCl9CA8PJy8vr8Gxm0qvVtvG2zqusbvHNpvNpwT0TbXt168fffv2bfDzTk5OZufOnad8LsLCwk4J6CMjIxk4cCBnn302paWlVFdXM3nyZN5///1G+wzw+9//noqKCqKjo50ZBCeLCGpyd9dUlypIFxE5wf6jlZRU1RFkMdMnIdLX3fGo/klG8bhD9cXjEqJCPHJcxyh6j7hwIttJ0TgHR5C+5UAJNpsds1nZZ+JdPg/S+/btS1ZWFsXFxbz33ntcf/31rFixoslA3V2zZs1qMPpeUlJCamqqR44tZyjozCqlljaT7T5q1ChnMNyrVy86d+7c5Ih3bGwskZHGF3BISAhxcXHceeedjY6uHjlypEHb8vJyoqKiTgnySktLCQkJcbaNjIxs0P5k5eXlDdqrrfttW+sanxzUFxcXN9q2sYA+OjqaY8eOnfJ5+9nPftbkCP3ll18OGDeeJkyY0OgIfZlr0+CbFty+/gAVETlTjoAzIymSwHZSNM4hNMhC7/hItheWsjG3mAv6eyhIzy0C2l/mAUCPLhGEBlqoqLGy+3C5s/ieiLf4/F+doKAgevXqxfDhw5kzZw5DhgxpsmJ1YmLiKYWTCgsLSUxMbPL4wcHBzurxjoe0EWGdILY7RgK76+yYOEoMfYaMIiKi4T+SkZGRjBkzhkmTJpGWlkZaWppzNYA77riD66+/niuuuILrr7+e22+/nZCQEPr169eg7f79+52p1YMGDSI9PR2TyURubm6jbU8uCGe32xu0Bdxqr7bt5xo7AvpBgwbRrVs3Dhw40GjbjIwM7rzzTufnc+rUqVx44YWNfo6vuuoqZ5DvUEEIhTVh2N38XQKT8TsYGuvmfiIi7Vt7nVvtMCjFeF+eLB7nONbglPZ3zSwqHietzOcj6Sez2WwN5pCfaOzYsSxdupQ777zTuW3JkiVNzmGXNs5kMgpWLZ7l3m5AzdBpZBYWkpzcFbPZTG1tLYGBgdhsNuLj45kyZQpms3EP6vLLL2f//v1s27aNlJQUUlJSKC8vZ9u2bcTFxTXaduvWraSkpDjnC+fm5p5RW7PZ7LVjq237ucaOz2Zubm6Tn+PDhw8zbdo0jh49yuHDh6moqKBfv37YRydi2jDPrd8lAEb/RkXjREROsuVA+ywa5zCoazTvrcv1aMC5Oc+o+9Rub2x0jWbdvmNszitmytCuvu6OtHMme3PrQnnZrFmzuOiii5ypxG+++SaPP/44n332GRdccAFTp06la9euzJkzBzCWYBs/fjyPPfYYl1xyCW+//TZ//vOfWb9+PQMHDnTpnCUlJURHR1NcXKxR9bagsgie6Q+1lbi0DJvJDAGhMHMr2XvzWbRoEdu2baOqqso5Kj5lypQGy3iBsZSXr9u2lX6057ZtpR8+aZue1OLfJUJjTt9evMrfv5teeOEFnnzySQoKChgyZAh/+ctfGDVqVKNtFy5cyJ///Gd27txJbW0tvXv35q677uKXv/yls43dbmf27Nm8/PLLFBUVcfbZZ/Piiy/Su3dvl/vk79dUfMdutzP04SUUVdTy4YxznKPO7cn6nGNc8ddviYsI5rs/nX9KMVd3HSmrZvgjn2MywcbZF7a7OekA767dz+/f28jo7p1459caIBT3ufO95NMg/cYbb2Tp0qXk5+cTHR3N4MGDueeee7jgggsAmDBhAunp6SxYsMC5z7vvvsu9997L3r176d27N0888QQXX3yxy+fUl3YbtPNz+NfPjCXZmg0uzMaI38/fhV7nA0bmxclzxx0jjydrC23bSj/ac9u20g+ftD2D3yXxLX/+bnrnnXeYOnUq8+fPZ/To0cybN493332X7du3Ex8ff0r75cuXc+zYMTIyMggKCuKjjz7irrvu4uOPP2bSpEkAPP7448yZM4fXXnuN7t27c99997Fp0ya2bt1KSIhr82f9+ZqKb+0/WsG4J5YRaDGx+cFJBAe0ZPWMtq2q1sqA2Z9htdlZNet8EqPPbF768u0HueEf39GjSzhf3DXBM51sY7YVlDB53ldEBAewcfaFKh4nbvObIN0X9KXdRu38HN6ZCrUV9RtO/FjW/yMYGAZX/1NBhUhz9Lvkl/z5u2n06NGMHDmS559/HjBuJKWmpvLb3/6W//u//3PpGMOGDeOSSy7h4Ycfxm63k5yczF133cXdd98NGAUaExISWLBgAddcc41Lx/Tnayq+9emmfG7513oGdo3io9+O83V3vGbyvC/ZVlDKy1NHcEH/hNPv0IwXlu3kyc+2c1lmMs9eM9RDPWxb6qw2Bsz+jOo6G1/cNZ4eXVQ8TtzjzveSzwvHiQDQa6KRdjv5MYhNb/habLqx/a5sBRUip6PfJWlFNTU1rFu3jokTJzq3mc1mJk6c2OzSlw52u52lS5eyfft2zj33XAD27NlDQUFBg2NGR0czevToZo9ZXV1NSUlJg4dIS2yun48+MLn9pbmfyFEIbeuBM/9dcczhH5Dcfm+IBVjM9EuqLx7ngWsm0pw2VzhOOrDQGBjzG6OYXOUxY+3m4Eij8rQKW4m4Tr9L0koOHz6M1WolIaHhKFxCQgLbtm1rcr/i4mK6du1KdXU1FouFv/71r86pbgUFBc5jnHxMx2uNmTNnDg8++GBL34qI06Z2XgDNYUByNAvX57E1/8yLxzkC/QHt/MbGoK7RZO0vYnNeMT8Zkuzr7kg7piBd2h6TyVieLayTr3si4t/0uyRtVGRkJFlZWZSVlbF06VJmzpxJjx49mDBhQouPOWvWLGbOnOl8XlJSQmpqqgd6Kx2J3W53Vjxvr5XdHfrXjwpvOcNR4dKqWvYeMaZYOUaa2yvHZ2JTrpZhE+9SkC4iIiItEhcXh8ViobCwsMH2wsJCEhMTm9zPbDbTq1cvADIzM8nOzmbOnDlMmDDBuV9hYSFJSUkNjpmZmdnkMYODgwkODj6DdyMCBSVVHC2vwWI20Tcx0tfd8SpHkJ57rJLiylqiQ1tWkX1bQSkASdEhdAoP8lj/2qIBXR03Noqx2+1nXBVfpCmaky4iIiItEhQUxPDhw1m6dKlzm81mY+nSpYwd6/oSRTabjerqagC6d+9OYmJig2OWlJSwevVqt44p0hKOtO3e8RGEBLa/qu4nig4LJCU2FDizeelb8tr/fHSH3vGRBFpMlFTVkVdU6evuSDumkXQRERFpsZkzZ3L99dczYsQIRo0axbx58ygvL2fatGkATJ06la5duzJnzhzAmDs+YsQIevbsSXV1NZ988gn//Oc/efHFFwEwmUzceeedPPLII/Tu3du5BFtycjJTpkzx1duUDsIRrPZv52nbDv2Tosg9VsnW/BLG9uzcomNsze841ywowEzv+Ei25pew9UAJKbFhvu6StFMK0kVERKTFrr76ag4dOsT9999PQUEBmZmZLF682Fn4LScnB7P5eOJeeXk5t956K7m5uYSGhpKRkcEbb7zB1Vdf7Wzzhz/8gfLycm6++WaKioo455xzWLx4sctrpIu0lDPg7ACjwmAUevvf1kJndfaWcMxp79/Oi8Y59E+OMoL0/BIuHND0tB6RM6EgXURERM7IjBkzmDFjRqOvLV++vMHzRx55hEceeaTZ45lMJh566CEeeughT3VRxCUdaVQYznwZtpo6Gz8UlgEdI90djn82PLF0nUhTNCddRERERDq80qpa9nWQKuUOjsB658Eyquusbu+/82AZNVYbkSEBzvnt7Z3zxka+gnTxHgXpIiIiItLhOaqUJ0eHENvOq5Q7JEWHEBMWSJ3N7hwRd8eJmQcdpdJ5v5Oq4ot4g4J0EREREenwnEXjOkjaNhhTS46vl+7+vHTHPh3pmkWHHq+Kn63RdPESBekiIiIi0uF1tMruDgPOYF66Y58BHaRonIPmpYu3KUgXERERkQ6vo1V2d3C83y1uBpx2u73DFdpz0Lx08TYF6SIiIiLSodVabWwvNOak90/qWKPCjlHw7PwSbDa7y/vlHquktKqOIIuZXvER3upem6SRdPE2BekiIiIi0qHtPlROTZ2NyOCOU6XcoUdcOEEBZsprrOw7WuHyfo756L0TIggK6FghhWMk/YeDpdTU2XzcG2mPOtZvlIiIiIjISbbmGwFnv6QozOaOUaXcIcBiJiMxEnBvZLijzuEH6BoTSlRIALVWOzsPul8VX+R0FKSLiIiISIfWESu7n2hAsvsV3rc4i8Z1vGtmMpk0L128SkG6iIiIiHRoHbUAmoNzjrUbAefxQnsdaw6/g6N2gealizcoSBcRERGRDstut3f4kXRHoO1qhfej5TXkF1cB0C8p0mv9asuOj6S7v768yOkoSBcRERGRDqugpIpjFbUEmE0drkq5Q0ZiJCYTHCqt5mBp1WnbO25qdOscRmRIoLe71yadWOHdbne9Kr6IKxSki4iIiEiH5Qg4e8VHEBJo8XFvfCM8OIDuncMB2JZfetr22fWp7v0SO2bmARifl0CLiZKqOvKKKn3dHWlnFKSLiIiISIfVkauUnyijPm0924V56c4gvQNfs6AAM73j3a+KL+IKBekiIiIi0mEdL4DWcQNOOD4q7kqQvtUZpHfM+egOqvAu3qIgXUREREQ6rI5e2d3BMSqefZp095o6G7sOlTXYp6NyfGZcLbgn4ioF6SIiIiLSIZVW1bLvSAWggLNf/ajwrkNlVNdZm2y361AZtVY7kSEBpMSGtlb32qTjNzYUpItnKUgXERERkQ5pR6ExapwYFUJseJCPe+NbydEhRIUEUGez80NhWZPtTiwaZzKZWqt7bZJjJD33WCUlVbU+7o20JwrSRURERKRD2lqf2t3R51YDmEwm58jwtoKmU96zNR/dKToskOToEAC2N3PNRNylIF1EREREOiRHwJnRwVPdHVxJ38523tjQNYPjnx2lvIsnKUgXERERkQ5pm5YSa6DfaZZhs9vturFxkuPXTCPp4jkK0kVERESkw7HZ7M607v5K3QYajqTb7fZTXj9UVs2R8hrMJuiboGsGKh4n3qEgXUREREQ6nJyjFVTUWAkKMJPeOdzX3WkT+iREYjbBsYpaCkuqT3ndMVqcHhdOaJCltbvXJmXUry+/vaAUq+3UGxsiLaEgXUREREQ6nG0Fxshn34RIAiz6kxggJNBCjy4RQOMjw9maHnCK7nHhhASaqay1knO0wtfdkXZC/yKJiIiISIejyu6NcwTgW5sJ0vsrSHeymE3O1H+lvIunKEgXERERkQ7HWQAtUQHniRw3LRpbhk3LrzXO8RlSkC6eoiBdRERERDocR7q7UrcbaqoQWnWdlV2Hyhu0EYMqvIunKUgXERERkQ6ltKqW/UcrAY0Kn8yRyr77UBlVtVbn9h8Ky7Da7MSEBZIYFeKr7rVJqvAunqYgXUREREQ6FEcqd1J0CDFhQT7uTdsSHxlMbFggNjvsKDw+Mnx8ekAkJpPJV91rkxzp7nlFlRRX1vq4N9Ie+DRInzNnDiNHjiQyMpL4+HimTJnC9u3bm91nwYIFmEymBo+QEN3NExERERHXbFOV8iaZTKZGR4aznYX2dM1OFh0WSNeYUMBYik3kTPk0SF+xYgW33XYbq1atYsmSJdTW1nLhhRdSXl7e7H5RUVHk5+c7H/v27WulHouIiIiIv1Nl9+YdD9JPHUlXkN644/PSlfIuZy7AlydfvHhxg+cLFiwgPj6edevWce655za5n8lkIjEx0dvdExEREZF2SAFn804eSbfb7c5Ce1p+rXH9kqL4PPuggnTxiDY1J724uBiATp06NduurKyMbt26kZqaymWXXcaWLVuabFtdXU1JSUmDh4iIiIh0TDab3ZmSrOXXGnfiqLDdbqewpJpjFbVYzCZ6xUf4uHdtk3MZNqW7iwe0mSDdZrNx5513cvbZZzNw4MAm2/Xt25dXX32V//znP7zxxhvYbDbOOusscnNzG20/Z84coqOjnY/U1FRvvQUREZEO6YUXXiA9PZ2QkBBGjx7NmjVrmmz78ssvM27cOGJjY4mNjWXixImntL/hhhtOqT8zefJkb78N6SD2Ha2gstZKSKCZ7nHhvu5Om9QrPoIAs4mSqjoOFFc5R4d7xIUTEmjxce/aJseNje0FJVhtdh/3RvxdmwnSb7vtNjZv3szbb7/dbLuxY8cydepUMjMzGT9+PAsXLqRLly787W9/a7T9rFmzKC4udj7279/vje6LiIh0SO+88w4zZ85k9uzZrF+/niFDhjBp0iQOHjzYaPvly5dz7bXXsmzZMlauXElqaioXXngheXl5DdpNnjy5Qf2Zt956qzXejnQAjoCzb0IkFrOqlDcmOMBCzy7GiPm2/BKytab8aXXrHE5ooIWqWht7jzRfX0vkdNpEkD5jxgw++ugjli1bRkpKilv7BgYGMnToUHbu3Nno68HBwURFRTV4iIiIiGc888wzTJ8+nWnTptG/f3/mz59PWFgYr776aqPt//Wvf3HrrbeSmZlJRkYGf//737HZbCxdurRBu+DgYBITE52P2NjY1ng70gFscy4lpr8Jm+MYGd5WUMq2+gJyGSq01ySL2USfxPprlq+UdzkzPg3S7XY7M2bMYNGiRXzxxRd0797d7WNYrVY2bdpEUlKSF3ooIiIiTampqWHdunVMnDjRuc1sNjNx4kRWrlzp0jEqKiqora09pR7N8uXLiY+Pp2/fvtxyyy0cOXKk2eOoBo24SpXdXZNxQvE4FdpzTX9VeBcP8WmQftttt/HGG2/w5ptvEhkZSUFBAQUFBVRWVjrbTJ06lVmzZjmfP/TQQ/zvf/9j9+7drF+/nl/84hfs27ePm266yRdvQUREpMM6fPgwVquVhISEBtsTEhIoKChw6Rj33HMPycnJDQL9yZMn8/rrr7N06VIef/xxVqxYwUUXXYTVam3yOKpBI65yVCnPUMDZrIz6UeEtB4rZfdhI3+6n7INmNba+vEhL+HQJthdffBGACRMmNNj+j3/8gxtuuAGAnJwczObj9xKOHTvG9OnTKSgoIDY2luHDh/Ptt9/Sv3//1uq2iIiIeMBjjz3G22+/zfLlywkJCXFuv+aaa5z/P2jQIAYPHkzPnj1Zvnw5559/fqPHmjVrFjNnznQ+LykpUaAupyipqiX3mDEYpICzeY6l1vYersAOxIQFkhAV7NtOtXGOKRTbVOFdzpBPg3S7/fSVD5cvX97g+dy5c5k7d66XeiQiIiKuiouLw2KxUFhY2GB7YWEhiYmJze771FNP8dhjj/H5558zePDgZtv26NGDuLg4du7c2WSQHhwcTHCwAghpnmPpteToEKLDAn3cm7atS2QwncKDOFpeAxg3NUwmFdprTt/67IO8okqKK2uJDtVnTFqmTRSOExEREf8TFBTE8OHDGxR9cxSBGzt2bJP7PfHEEzz88MMsXryYESNGnPY8ubm5HDlyRPVn5Ixt09xql5lMJmfKO6honCuiQwPpGhMKHL8hJNISCtJFRESkxWbOnMnLL7/Ma6+9RnZ2Nrfccgvl5eVMmzYNOLW2zOOPP859993Hq6++Snp6urMeTVlZGQBlZWX8/ve/Z9WqVezdu5elS5dy2WWX0atXLyZNmuST9yjtx1ZVKXfLiTczND3ANf1UPE48wKfp7iIiIuLfrr76ag4dOsT9999PQUEBmZmZLF682FlM7uTaMi+++CI1NTVceeWVDY4ze/ZsHnjgASwWCxs3buS1116jqKiI5ORkLrzwQh5++GGls8sZcxaNU8Dpkr4JEc7/V/aBazISo/g8+6DzsybSEgrSRURE5IzMmDGDGTNmNPraybVl9u7d2+yxQkND+eyzzzzUM5HjbDa7MwVZAadrEqNDnf/fKz7chz3xH47P1latlS5nQOnuIiIiItLu5RytoKLGSnCAmfTOYb7ujl+orju+7GFxZZ0Pe+I/HFMpdhSUYrWdvki2SGMUpIuIiIhIu+dIP+6TEEmARX8Cu2LXoXLn/2crfdsl6Z3DCQk0U1lrJedoha+7I35K/0KJiIiISLvnSD/up6JxLtt2QvEzFUJzjcVsom+CisfJmVGQLiIiIiLtniPgVNE412WfMK96m+ZYu8zxGdumIF1aSEG6iIiIiLR72wq0/Jo7quus7DpU5nyuauWuc3zGsrVWurSQgnQRERERaddKq2qd84O13rdrdh0sp85mJzLEWAxq16Fyqmqtp9lL4HiFd6W7S0spSBcRERGRdm1HoTGimRgVQmx4kI974x8cAWa/pChiwgKx2uzsPFh2mr0EICPRGEnPPVZJSVWtj3sj/khBuoiIiIi0a46icUp1d50jvb1fYqQz6Nym9G2XxIQFkRQdAsB2XTNpAQXpIiIiItKubTthVFhc4wjI+yVFOa+bCqG5TtdMzoSCdBERERFp15xF4xI1ku4qR7p7RlKUcx6/1kp3neOzpuJx0hIBvu6AiIiIiIi32Gx2jaS76VBpNYfLajCZoE9CBGaTsT07vxS73Y7JZPJtB/1AhorHyRnQSLqIiIiItFu5xyopr7ESZDHTIy7c193xC47AsnvncMKCAuiTEInZBEfLazhUWu3j3vmH/vX1D7YXlGKz2X3cG/E3CtJFREREpN1ypGj3ToggwKI/fV2RfVLmQUighR5dIgDYqpFhl6R3DicowExFjZX9xyp83R3xM/qXSkRERETaLefcaq2P7rLj1+z4HH7nHOt8zbF2RYDFTJ8E48aGUt7FXQrSRURERKTdOj4qrKJxrnIE4ifO4e+nOdZucxTc26obG+ImBekiIiIi0m41FnBK06rrrOw6VAZAv+Tj16y/gnS3qXictJSCdBERERFpl0qrask5aswHVpDump0Hy6iz2YkKCSA5OsS53XH9dh8up6rW6qvu+RVH9oaCdHGXgnQRERERaZe2169RnRAVTKfwIB/3xj+cmHlw4lJrCVHBxIQFYrXZ2XmwzFfd8yuO7IPcY5WUVNX6uDfiTxSki4iIiEi7dHKVcjm9pq6ZyWQ6YY61RoZdERMWRFJ9NsI2zUsXNyhIFxEREZF2aavmo7utuUJ7Kh7nPl0zaQkF6SIiIiLSLmkk3T12u73Za6Y51u7TNZOWUJAuIiIiIu2O1WZ3zknvr+XXXHKwtJpjFbWYTdAnoemR9G0Fpdjt9tbunl/SSLq0hIJ0EREREWl39h0pp7LWSnCAmfTO4b7ujl9wzDXv0SWCkEDLKa/3io/AYjZRVFFLQUlVa3fPLzmC9O2FpVhturEhrlGQLiIiIiLtjqNKed/ESAIs+pPXFaebHhASaKFnl/AGbaV56Z3DCQk0U1VrY8/hcl93R/yE/sUSERERkXbHGXAmaj66qxw3NjISm54ecDx9W9XKXWExm+ibqJR3cY+CdBERERFpd5qrUi6Nc1yz/s0U2nME6VqGzXX9VTxO3KQgXURERETaHVV2d09VrZXdh8qA5q+ZY5RdAafrVDxO3KUgXURERETalaKKGg4UG4XNMhSku+SHwjJsdogNCyQhKrjJdo5R9r2Hy6mssbZW9/yapgiIuxSki4iIiEi74giGusaEEh0a6OPe+IcTMw9MJlOT7bpEBtM5PAibHXYUKuh0hSP7oKCkimPlNT7ujfgDBekiIiIi0q4o1d19jjnmGacptGcymZS+7abIkEBSO4UCumbiGgXpIiIiItKuHC+ApqJxrnKn0J7mpbvPscqACu6JKxSki4iIiEi7kl2gkXR32O12thUYqeuuXDPNsXafrpm4Q0G6iIiIiLQbdVYbOwpPX6VcjjtQXEVxZS0BZhO9EyJO275/8vF0d7vd7u3utQuaIiDucDlIP3DggDf7ISIiIn7qhRdeID09nZCQEEaPHs2aNWuabPvyyy8zbtw4YmNjiY2NZeLEiae0t9vt3H///SQlJREaGsrEiRP54YcfvP02pJ3Yfbicmjob4UEW0jqF+bo7fmFLXjEAveIjCA6wnLZ9zy4RBFnMlFbXsf9opbe71y44quLvPFhGrdXm495IW+dykD5gwADefPNNj558zpw5jBw5ksjISOLj45kyZQrbt28/7X7vvvsuGRkZhISEMGjQID755BOP9ktERERc88477zBz5kxmz57N+vXrGTJkCJMmTeLgwYONtl++fDnXXnsty5YtY+XKlaSmpnLhhReSl5fnbPPEE0/w3HPPMX/+fFavXk14eDiTJk2iqqqqtd6W+DHHSGXfxEjM5qarlMtxjnnSjhHy0wkKMDtH3LfmF3utX+1JSmwoEcEB1Fht7Kpfj16kKS4H6Y8++ii//vWvueqqqzh69KhHTr5ixQpuu+02Vq1axZIlS6itreXCCy+kvLy8yX2+/fZbrr32Wm688UY2bNjAlClTmDJlCps3b/ZIn0RERMR1zzzzDNOnT2fatGn079+f+fPnExYWxquvvtpo+3/961/ceuutZGZmkpGRwd///ndsNhtLly4FjFH0efPmce+993LZZZcxePBgXn/9dQ4cOMAHH3zQiu9M/NVWVXZ329YDjkJ7rl+zAfUBvWNfaZ7ZbFLBPXGZy0H6rbfeysaNGzly5Aj9+/fnww8/POOTL168mBtuuIEBAwYwZMgQFixYQE5ODuvWrWtyn2effZbJkyfz+9//nn79+vHwww8zbNgwnn/++UbbV1dXU1JS0uAhIiIiZ66mpoZ169YxceJE5zaz2czEiRNZuXKlS8eoqKigtraWTp06AbBnzx4KCgoaHDM6OprRo0c3e0x934uDI2hUkO46x42NAcnRLu/jCOhVrdx1/XVjQ1zkVuG47t2788UXX3DvvfdyxRVXMHjwYIYNG9bgcSaKi410GccXdWNWrlzZ4IsbYNKkSU1+cc+ZM4fo6GjnIzU19Yz6KCIiIobDhw9jtVpJSEhosD0hIYGCggKXjnHPPfeQnJzs/G537OfuMfV9L2BkYjgCoAEupm53dMWVteQeM+aVuzOS3r8+oFfA6Trd2BBXBbi7w759+1i4cCGxsbFcdtllBAS4fYhG2Ww27rzzTs4++2wGDhzYZLuCggK3vrhnzZrFzJkznc9LSkr0xS0iItIGPPbYY7z99tssX76ckJCQMzqWvu8F4GBpNUfKazCbICNRQborHKnXXWNCiQ4LdHm/jPr11A8UV3GsvIbY8CCv9K89cWQqbDlgVMU3mVQzQRrnVoT98ssvc9dddzFx4kS2bNlCly5dPNaR2267jc2bN/P111977JgAwcHBBAcHe/SYIiIiAnFxcVgsFgoLCxtsLywsJDExsdl9n3rqKR577DE+//xzBg8e7Nzu2K+wsJCkpKQGx8zMzGzyePq+Fzg+qtujSwShQaevUi4nzEd3M/MgKiSQtE5h5BytIDu/hLN6xXmje+1K74QILGYTRRW15BdXkRwT6usuSRvlcrr75MmTueeee3j++edZuHChRwP0GTNm8NFHH7Fs2TJSUlKabZuYmNiiPwZERETEs4KCghg+fLiz6BvgLAI3duzYJvd74oknePjhh1m8eDEjRoxo8Fr37t1JTExscMySkhJWr17d7DFFALYcMKZOKtXddc7K7i2Yw+8sHqf0bZeEBFroHW9Uxd+iaQLSDJeDdKvVysaNG5k6darHTm6325kxYwaLFi3iiy++oHv37qfdZ+zYsQ2+uAGWLFmiL24REREfmDlzJi+//DKvvfYa2dnZ3HLLLZSXlzNt2jQApk6dyqxZs5ztH3/8ce677z5effVV0tPTKSgooKCggLIyY0kik8nEnXfeySOPPMJ///tfNm3axNSpU0lOTmbKlCm+eIviR44XQFOQ7qotLRxJh+OBvQJO16l4nLjC5XT3JUuWePzkt912G2+++Sb/+c9/iIyMdM4rj46OJjTUSP+YOnUqXbt2Zc6cOQDccccdjB8/nqeffppLLrmEt99+m7Vr1/LSSy95vH8iIiLSvKuvvppDhw5x//33U1BQQGZmJosXL3bWj8nJycFsPj4m8OKLL1JTU8OVV17Z4DizZ8/mgQceAOAPf/gD5eXl3HzzzRQVFXHOOeewePHiM563Lu2fM+BMcr1KeUdWU2dj58FSoGUj6Qo43dc/KYqF5DmzPkQa45mqby304osvAjBhwoQG2//xj39www03AKd+uZ911lm8+eab3Hvvvfzxj3+kd+/efPDBB80WmxMRERHvmTFjBjNmzGj0teXLlzd4vnfv3tMez2Qy8dBDD/HQQw95oHfSUZRW1bLvSAXQslHhjuiHg6XUWu1EhQSQEuv+/GjHdd55qIyqWishgaoDcDqO4nGaIiDN8WmQbrfbT9vm5C93gKuuuoqrrrrKCz0SEREREX+UnW+MCCdFh9BJlcZdcmLRuJZUGk+MCiE2LJBjFbX8UFjGoBRlMJyOI2Mh91glxRW1blXUl47DrXXSRURERETaoq0qGue240XjWhZcm0ymE0aGlb7tiuiwQGfWgkbTpSkK0kVERETE7x2fj64g3VUtXX7tRJqX7r7jBfd0Y0MapyBdRERERPyec1Q4WSnXrrDb7We0/JqDY1+NCrtO89LldBSki4iIiIhfq6mzsaPQmJOudHfX5B6rpLSqjkCLiV71a3e3hGMkPTu/FJvt9PWmRNkHcnoK0kVERETErzmqlEe2sEp5R+SYHtAnIZKggJaHBD3iwgkOMFNWXUfO0QpPda9dc9xI+uGgURVf5GQK0kVERETEr209YT56S6qUd0SeSHUHCLCYyUiMbHBMaV5SdAgxYYFYbXZ+KCzzdXekDVKQLiIiIiJ+zTEqPEDz0V3miaJxDkrfdo9RFV/F46RpCtJFRERExK8dLxqn+eiucixZ54lq+KpW7j4V3JPmKEgXEREREb9ls9nJdo6kK0h3xZGyag4UVwGeubExoKuRwbBZI+kuc2R9bNE1k0YoSBcRERERv5V7rJLS6jqCLOYzqlLekTiC6R5x4USGBJ7x8fonRWExmzhUWk1hSdUZH68jOF4Vv0RV8eUUCtJFRERExG85Uqz7JEYQaNGftq7YnGdcM8cI+JkKCbTQq0tEg2NL8xxV8StqrOw9Uu7r7kgbo3/JRERERMRvbTngmSrlHYnjxsZAD04PGNDVONbmPKVvu+LEqvhKeZeTKUgXEREREb+1qX7kdpCHRoU7Am9cM8exNmkk3WUDHXP5dc3kJArSRURERMQv2e12Z4AzUEG6S4oratl/tBLw7JJ1juuvCu+u040NaYqCdBERERHxS/nFVRwpr8FiNtFP6e4u2VwfRKd1CiM67MyLxjn0T4rCZDJ+JofLqj123PbsxJF0u13F4+Q4BekiIiIi4pccI5C94yMICbT4uDf+4XjmgWdvaoQHB9AjLrzBOaR5fRIiCbKYKamqI+doha+7I22IgnQRERER8UubNR/dbY7l17wxPeB4yrsKobkiKMBMRpJRPE4p73IiBekiIiIi4pecBdBSFKS7yjmS7sH56A7OOda5CjhdNVDz0qURCtJFRERExO+oaJz7Sqtq2XPYWJPbG9fMUYhus4rHuWyQKrxLIxSki4iIiIjfKSip4nCZUTROa6S7xpGG3jUmlE7hQR4/vmOt9NxjlRwrr/H48duj40F6iYrHiZOCdBERERHxO46UahWNc51jtHZAsnduakSFBJLeOQzQvHRXOYrHFVceXxpPREG6iIiIiPgdpbq7zxE4e7PQ3oCuSnl3R1CAmb6JKh4nDSlIFxERERG/s0mV3d22qRVubAxSITS3qXicnExBuoiIiIj4FbvdzqY87y0l1h5V1NSx61AZ4N1r5qgav0UBp8tUPE5OpiBdRERERPxKYUk1h8uqMZtQ0TgXbT1Qgt0OCVHBdIkM9tp5HPPd9x6poKSq1mvnaU9OzD5Q8TgBBekiIiIi4mccacG94yMJDVLROFdsbqXpAbHhQaTEhgKwJU/F41zRJzGCQIuJ4spaco+peJwoSBcRERERP9Mac6vbm831ReMca5l7kyPlXenbrgkOsKh4nDSgIF1ERERE/MrxUWGlurtqY24R0DqF9galGOfYqIDTZSq4JydSkC4iIiIifsUZpKdoJN0VZdV1/HDQKBo3ONX712xISgxw/MaAnN5AFY+TEyhIFxERERG/cbCkioOljqJxCtJdsTmvGLsdkqNDiI8M8fr5HDdP9h2p4Fh5jdfP1x6cWOFdxeNEQbqIiIiI+A1HOnCv+AgVjXPR9/uLABiSGtMq54sODaRHXLhxbo2mu6RvYiSBFhPHKlQ8ThSki4iIiIgfcQScg7rG+LQf/mRjrnFjo7WC9BPP5Ti3NC84wEJGolFjQddMFKSLiIjIGXnhhRdIT08nJCSE0aNHs2bNmibbbtmyhZ/+9Kekp6djMpmYN2/eKW0eeOABTCZTg0dGRoYX34H4k6z6ACYzLca3HfEjWfU3Nga34hx+x7kcN1Xk9IbU1wtQ9oEoSBcREZEWe+edd5g5cyazZ89m/fr1DBkyhEmTJnHw4MFG21dUVNCjRw8ee+wxEhMTmzzugAEDyM/Pdz6+/vprb70F8SN2u90Z9GXWFyeT5h0uqyavqBKTqXUquzs4RtK/zy3SHGsXOQruZeUU+bQf4nsK0kVERKTFnnnmGaZPn860adPo378/8+fPJywsjFdffbXR9iNHjuTJJ5/kmmuuITg4uMnjBgQEkJiY6HzExcV56y2IH9l7pILiylqCAsxkJEX6ujt+wVFhvWeXCCJDAlvtvP2ToggwmzhcVsOB4qpWO68/G1qfHbIpr5g6q823nRGfUpAuIiIiLVJTU8O6deuYOHGic5vZbGbixImsXLnyjI79ww8/kJycTI8ePfj5z39OTk5Os+2rq6spKSlp8JD2J2v/MQAGJkcRaNGfsa7I2l8/H72VMw9CAi3OGylKeXdNj7gIIoIDqKy1sqOwzNfdER/Sv24iIiLSIocPH8ZqtZKQkNBge0JCAgUFBS0+7ujRo1mwYAGLFy/mxRdfZM+ePYwbN47S0tIm95kzZw7R0dHOR2pqaovPL23X9/tbvwCav3OMpGe2wvroJ3PcGNAca9eYzabjc/l1zTo0nwbpX375JZdeeinJycmYTCY++OCDZtsvX778lEIyJpPpjP4QEBERkbbloosu4qqrrmLw4MFMmjSJTz75hKKiIv797383uc+sWbMoLi52Pvbv39+KPZbW4iiAlqkg3SUnzuEf7IM5/M4gXSPpLnN8tnXNOrYAX568vLycIUOG8Ktf/YorrrjC5f22b99OVFSU83l8fLw3uiciIiLNiIuLw2KxUFhY2GB7YWFhs0Xh3BUTE0OfPn3YuXNnk22Cg4ObneMu/q+6zsrWA8Y0BgXprtl/tJJjFbUEWXwzh9+R8bAptxirzY7FbGr1PvgbxzXLUpDeofl0JP2iiy7ikUce4fLLL3drv/j4+AbFZMzmpt+G5qiJiIh4R1BQEMOHD2fp0qXObTabjaVLlzJ27FiPnaesrIxdu3aRlJTksWOK/9mWX0qN1UZsWCBpncJ83R2/4EiZ7pcUSXCApdXP3ys+grAgC+U1VnYf0hxrVwytD9J3FJZSXl3n286Iz/jlnPTMzEySkpK44IIL+Oabb5ptqzlqIiIi3jNz5kxefvllXnvtNbKzs7nlllsoLy9n2rRpAEydOpVZs2Y529fU1JCVlUVWVhY1NTXk5eWRlZXVYJT87rvvZsWKFezdu5dvv/2Wyy+/HIvFwrXXXtvq70/aDsfI4pDUGEwmjci64vsTrpkvWMwmBtYv+6aRYdfER4WQFB2CzW5UeZeOya+C9KSkJObPn8/777/P+++/T2pqKhMmTGD9+vVN7qM5aiIiIt5z9dVX89RTT3H//feTmZlJVlYWixcvdhaTy8nJIT8/39n+wIEDDB06lKFDh5Kfn89TTz3F0KFDuemmm5xtcnNzufbaa+nbty8/+9nP6Ny5M6tWraJLly6t/v6k7XAGnFof3WUbc31T2f1EjqkJjr7I6Wkuv/h0Trq7+vbtS9++fZ3PzzrrLHbt2sXcuXP55z//2eg+mqMmIiLiXTNmzGDGjBmNvrZ8+fIGz9PT07Hb7c0e7+233/ZU16QdyXJUKa9fS1qaV2e1OUdih/igsruDqpW7LzMthsVbCnTNOjC/GklvzKhRo5otJCMiIiIi/q24opbdh8oBjaS76oeDZVTWWokIDqBHXITP+uH4eWXnl1BdZ/VZP/yJ45pl5RT5tB/iO34fpGdlZamQjIiIiEg7tjGvCIC0TmF0Cg/ybWf8hGN99EFdozH7sKp6SmwoncKDqLXayc4v9Vk//MmglGhMJjhQXMXBkipfd0d8wKdBellZmbN4DMCePXvIysoiJycHMOaTT5061dl+3rx5/Oc//2Hnzp1s3ryZO++8ky+++ILbbrvNF90XERERkVbgGFHU0muucxRqG+zDVHcAk8nEkPqU96ycYz7ti7+ICA6gT7yxZJ4K7nVMPg3S165d6yweA0aF2KFDh3L//fcDkJ+f7wzYwagIe9dddzFo0CDGjx/P999/z+eff87555/vk/6LiIiIiPc55ub6qkq5P1q/rwiA4Wmxvu0IMKy+D+uVvu0yRx0BzUvvmHxaOG7ChAnNFo9ZsGBBg+d/+MMf+MMf/uDlXomIiIhIW2G328nabxRAy/TxqLC/KK6sZcdBI7V8WDffB+nD6/uwbp9G0l01JDWGf6/N5fv9qorfEfn9nHQRERERab/yiio5XFZNgNnEgGQF6a7I2l+E3Q7pncOIi/D9KkdDUmMwm4yfZUGx5li7wjG14/v9Rdhsza+IIe2PXy3BJiIiIiIdiyNFOiMpkpBAi287467qUigthMpj9Y+jUFUCtRVQW2n811oL2MGRXWq2QEAwBIQY/w2KgJBoCIkx/hseB5GJEBTe5GkdI9bD2kCqO0B4cAAZiVFszS9hfc4xLh7URNFnux2qS6C0ACqOQFWx8agsgtpyqKs+/rDbjH1MJsBkXKvAMAgMNR6hsRAaU//fTsY1CwxtpXd85vomRBIaaKG0uo6dh8rokxDp6y5JK1KQLiIiIiJt1rq9RwEY0a2Tj3vSiNoqOLITju42Hsf2wLG9UHIASvKhxovVzIMijcAzJhVi0yGmm/HfuD58X3/N2kKqu8PwbrFszS9h4+4DXNy5AA7vNK5V0V44tg+K9xs3NOoqvdeJkBiISoaortCpO8R2h049oHNP4/8tbSc0CrCYGZIazardR1m795iC9A6m7XwSRUREREROsrZ+VHi4rwPO0kI4sAHys6BwCxzMNgJz+2nW/g6KgLBOx0d0Q6LrR3xDjP9aAgHT8RFhuxXqaqCuynjUlBkjyVVFxn/LDxkj8DWlcKQUjvxwyilfsZvZG5RI/PYhUD0ckjMhaQhExHv6qjTNbjcC7wNZkJ/FbflruTloK6kbDsGG0+wbHA3hnY2gOjTGuGZBEcczDCxBYDLjzECw28BaY2Qn1FVBTblxvSrqMxgqDhvbq4qMx8Gtp57TEgRxfSG+HyT0h+ShkJRpnN9HRnTrZATp+45y3eg0n/VDWp+CdBERERFpk8qq68jOLwFgRHorBunWWijYCPtWQs5KIzgvyWu8bUg0dO5tjMx26mGMZkd1NUZsIxMh2MMjoHa7kUZfVgil+VCUY4xIH9sLR3djPbiDgNpSepkOwJ4DsOfT4/tGdYWUkZA2BlJHQeLg+psEHlBTAQfWw/7VkLMacr8z0vvrJYKzGpY9LA5TXJ/60ex04xGdYlyviEQICvNMnxzsdiM4L8k3rllxrpH14MiAOLLLuPFRuMl4bDph3049oetw6DYW0sYagby5dcp6DU9Xwb2OSkG6iIiIiLRJWTlF2OzQNSaUpGgvzie2WY2gfPdy47F/jRG0NWCCLn2N0dXEQcaIa3x/I7A0mbzXt5OZTBASZTziep/y8psr9/L8f77iitRS7hlqhfzvjcfhH4wbDVvzYOsHRuPAcCP47D4eup9rBO2uBqB1NZC3FnavgD0rIHct2GobtjEHGNcpKRN70hB+/VkFa8vj+dsNkxiZ3orTF0ym+kyGWGOU/GQ2GxTtM7IjDm6Fgk3GjZmifXB0l/HY9G+jbWgsdDsbekwwHp17ee3nPywtFpMJ9h2p4FBpNV0ifV8EUFqHgnQRERERaZPW7jNGYr2S6l5+BHZ+DjsWw+5lRlr0iUJijJHTtDHG6HPSEAiO8Hw/PGx9ThGFdCKoz2g4q8/xF6pLjdTz/auNmxD7Vxujyzs/Nx5gpOP3mgh9JkHPHxlp+icqzoUflhiP3cuNYm4nikyC1NHHH4kDjRR1wASYt6/j6JYC1u071rpB+umYzfWZEN0h4+Lj2yuO1mcHfAc53xo3IiqPwbaPjAcY2Qm9zoc+k42gvZmCfu6KDg2kT3wk2wtLWbfvKJMHNlFwT9odBekiIiIi0iY50nw9lup+dDds/S9s/xRy1xyvEA5GIbbu44xAq/u5rZrW7EnrmprDH1z//rqPM57bbMao8Z4VsOdL2PuNkZ6+6d/Gw2SGlFHGDQpbLez9Ggo3NzxmWJxxrXrUj8THdm92VHl4t1gW1wfpfiGs/qZFr4nGc2st5G+EPcuNmxQ5q4zshPWvGw9LsHF9My6BjB97pAbA8PRYtheWsnbvMQXpHYiCdBERERFpc6w2Oxvql187o5H0wzthyyLI/o+RxnyihEHGqHHvC6DriDZV3bslDpZWkXO0ApMJMtNimm9sNhsj3YkDYextRgCa+x1sXwzZH8Kx3bB/lfFwMkHSYOh3KfS+0Lh+btzIcFSbX7/vGHa7HVNrThPwBEsgpAw3HuPuMubh53wLO/5nZGQU7TuemfDRTOh2FvT7CQyYYkyLaIER3WJ5c3WOs4CidAz+/S+RiIiIiLRL2wpKKKuuI6J+jW23lBbA5vdh07vG3GIHk8UY6ex3qZGeHJ3i2U772Pp9RYCxxnZUiJsF4YpyjBH17Z8YAbqDyXxCxoHdmN9uDjDms0ckQmSCy6cY2DWKIIuZI+U17DtSQXqc51LDfSIo7PhI+0WPw+EdxvXb+l8jTX7fN8bjs1lGpsGgq4zPXki0y6dwLD245UAxVbVWQgIt3no30oYoSBcRERGRNseREj00LQaL2YUR19oq2P4xbPiXMcfcEViaLNDzPOg/xUhDPnmedTuyPse4Zi6vj15VbGQZZL3VcMQ8IMTIMBhwhZFl4Li2m983Avm8dcbjf/carw+5Fvpe5Jx/3pTgAAuDUqJZt+8Y6/Yd8/8g/USm+sKCXfrCOb+Dov1GRsKWhUaGgqMo4Uczod+PIfPnxtQKc/NBd2qnULpEBnOotJrv9xcxukfn1ng34mMK0kVERESkzVm718X10Qs2wboFsOk9oxCaQ+oYGHQlDLgcwuO81s+2xDkfPa2Za2a3G3Op1/0Dtv7HWD8cjBHznj8yRnv7XmxUj3cICodhU41HaaFRHX7Tu0bwuWOx8QiNhcFXw/AbjIruTRjeLdYI0nOO8dPh7SuToYGYVBh7q/E4uud4Zsehbcb/b37fKDo35FrjusZ2a/QwJpOJEd1i+XRzAWv3HVOQ3kEoSBcRERGRNsdZNK5bIyPfNRXGCPC6fxiBokNUCmReC5nXGWuWdyDVdVY25RYDTdzYqDwG379t3NA4tO349i4ZxvUafLVr86YjE2D0r43H4R8g603juKUHYPV845E6BkZMM7IXAkMa7D4s7fi89A6jU3c4925jHnt+lpHtseldo+jcV0/BV08bGQkjfmXM9T9pdH14fZDuNwX35IwpSBcRERGRNiW/uJK8okrMJxdAO7YPvnsZ1v/z+Ki5OcCopD38emO979OkD7dXm/NKqLHa6BweRLfOYcdfKNwCq/8GG/8NdZXGtsAwGPhTY9S76/CWr/Md1xsmzoYf3Qu7lhk3TbZ/erzg3Gd/hGHXG8FnTCoAw7rFALC9sJSSqlr35877M5MJkocajwsfMaYQrH/dSIP/4X/GIyoFRt5o/Gzqp2aMqF+ubt2+Y9hsdsyuTP8Qv6YgXaQDsVqtfPXVV+Tn55OUlMS4ceOwWJr+Y8bd9q25j4iItF+OVPd+SVFEBFmMedCr/2YU5XLMNY9JMwKZzF+4VbysvVpXv6b80LRYTHYbbPsUVr0I+74+3ih+AIz8lZHS7kbxstMyW6D3RONRkg9Zb8DaBVCSC18/A9/MM+oBjLmN+LQxpHUKI+doBRtyihjfp4vn+uFPAkOMGyUDfwpHdhk3ODb8y7hmSx+EFY8bP6fRv2FAcn9CAs0UV9ay61AZvRMifd178TIF6SIdxMKFC7njjjvIzc11bktJSeHZZ5/liiuuOOP2rbmPiIi0b+v2HSOAOqZFfgd/+yMUbDz+Yo/zYPRvjPTgDjpq3pg1e44SShU3BP4Pnp9urAkPRuG8fj+GUb82lgTz9rJnUUlw7u/h7N/Bjk+Nmyt7vzKKqGV/CF2Hc1Psj3nwaC/W7DnScYP0E3XuaYysn3evUWhu1YvGZ37DP2HDPwnscR6/7DKRlw+ks3bfMQXpHYDJbrfbfd2J1lRSUkJ0dDTFxcVERbm5nIdIG+LO6PPChQu58sorOfnX3bE+6XvvvdcgIHa3fWvu4+57F/EH+m7yPF1TP1Zdxt+fvZ+Lyj+gq+mIsS0g1JhrPurXEJ/h2/61QdbSQ7z89D1cY19MjKnc2BgSY8wLHzkdorv6tH8UbjXmqn//NlirAci1x7E46kpu+u1sYykzOc5uh/2rjWA9+7/O7JFsWyobUqZy3Y2/M9ZsF7/izveSgnSRNsLdoNvV0Wer1Up6enqDticymUykpKSwZ88eLBaL2+1bco6W7uPuez/xGiiol7ZM302ep2vqhyqOwuq/YV89H1P9fHNrWBcso39tzNFtx0untVjRfvj2L9jWvYbZalRpt8d2xzTmVqMYXHCEjzt4krJD8N3fsa5+CUuVkZ5vD+2MacwtMOomo0K8NHRsL6yaT9261wioqzC2RafB2bfD0F9AYKhPuyeuc+d7ydxKfRKRZixcuJD09HTOO+88rrvuOs477zzS09NZuHBho22vvPLKU4LbvLw8rrzyylP2+eqrr5oMhAHsdjv79+/nq6++alH71tzH3ffu2MfVaysiIj5QWgif/QnmDoQVj2GqKmK3LZHHAm7F8rvNMP73CtBPdmQX/Oc2eC4T1vwNs7WKjbbuvBB3H6bfroPRN7e9AB0gogucNwvzzC08GXAzObYumCqPwLJHjJ//5w9A+WFf97JtiU2Hix6j/LaNPFF3NYfsUVCcA5/cDfMGwddzobrM170UD1OQLuIlVquV5cuX89Zbb7F8+XKsVmuj7dwJPK1WK3fccccp6eGAc9udd97Z4Fz5+fku9dfRzt32rbVPS957S4J6x7lc+dmJiMgZKMmHT/8Pnh0MK5+H2nJIHMyiXn9mYs1THOpzzSnLd3V4h3+Ahb+G50fAhjfAVgfdz+WZxCf4Sc0jWAZd7hfz9E1BYRzo/XPOq3mGj3s/DAkDoabMCDjnDTJu2pQW+rqbbUp0bBe+TPgl51Q/x/eD7zNG08sPGTc25g2CL5+CqhJfd1M8REG6iBe4OnrrbuDZktHnpKQkl/rsaOdu+9bax9333pKgHjTyLiLidaUF8Mkf4NkhsPpFqKuClJHw8/fg11/yWnEmNsyM7dnZ1z1tO47sgoU3wwujYOPbxhzl3hfCjUuw/fK/vFbYHTAxpof/XLMxPTphxcKC0hHwm6/hmreMpclqK4ybNs8OMYL1skO+7mqbMbZHZ6oJ4i37hXD7epgyHzr1hMqj8MXD9cH6k1Bd6uuuyhlSkC7iYe6M3robeLZkxHrcuHGkpKQ4i7GdzGQykZqayrhx41rUvrX2cfe9t1Y6vYiIuKj8sBF0PTsE1vzNKCCWNhZ++QHcuAR6X0BZjZVNecWAEcR1eEf3wAe3wfMjYeM7RnDe92KYvgx+/i6kjmJbQSnFlbWEB1kYmOw/9RdGdzduKHy/v5jKWhtkON7Xe8ZNm7rK+mB9MCyZDeVHfNxj33PchFm5+4hROC7zWpjxHVzxMsT1gaoi+OIRmDcYvnkWaip822FpMQXpIm44XRq0u6O37gaeLRmxtlgsPPvsswCnBMSO5/PmzXMWUnO3fWvt4+57b410esd+So0XEWlGVTEsfdgIHFY+Xz9yPgqm/gemfQo9z3MuC/bdnqNYbXZSO4WSEtuBK36X5MNHM4209qw3wG6FPpPh5uVw7VvQdZiz6ardRvA6Ir0TARb/+dO+W+cwEqNCqLHa2JBzzNhoMhlL6924BH7+PiQPM0bWv5ln3NxZ/niHHiUe2b0TZhPsO1LBgaJKY6PZAoN/Breugp++Ap17GSPrS+6vz1Z5CepqfNtxcZv//CaL+JgradDujt66G3i2ZMQa4IorruC9996ja9eGS7CkpKQ0usyZu+1bYx9337u30+lBqfEiIs2qrTRG854dAl89Zcw5T8o0Rkpv/B/0mHDKmt0r6wPOsX6Utu1RFfXB1XNDYe0rxpzznj+Cm5bCde8Y6eAnWb3HuGaj/SzzwGQyOfu8as/Rk1+E3hNh+hdw7duQOAhqSmH5n43P08oXoLbKB732raiQQAZ1jQZg5a6TMgvMFhh0Jdy6Gi77K8R0g/KD8Onv4fnhxvJ3Ng0k+IsAX3dAxB80tZ63Iw3aEVC6O3rrCDzz8vIaHcF1LEPmCDwdo89XXnklJpOpwT5NjVg7XHHFFVx22WUuL0Xmbntv7+Pue3f32rr7s3P1MyEi0uFY6yDrX7D8MSg9YGyL6wvn3wcZPz4lMD+RI/DocPPRayuNdcS/mgvVRro/KaNg4mxIP6fJ3Ww2O6vrA1x/mo/uMKZHZ/6TdcCZDXAKkwn6XgS9J8HWD2DZo3BkJ3z2R2MN8fP+ZIwi+0GxPE8Z07Mz3+cWs3L3EX46POXUBpYAGPpzGHQVbHgdVjwBRTmw6NfGTbPzZ0OfSc3+HorvaZ106fBOt4a2O+t5f/XVV5x33nmnPeeyZcuYMGECcDzYAxoNPBsL9hpbKzw1NZV58+a1+8DQnffuzrVdvny5yz+7cePGtWiNd63XLk3Rd5Pn6Zr6gN0OOxYb1aYPbTO2RafChFkw5JrTBlLFlbUMfeh/2OywctaPSIruAOs/26yQ9SYs+/PxGxrxA+D8+10KpLYVlDB53leEBVn4fvaFBPpRujvA7kNl/OjpFQQFmNk4+0JCAk/zndjYDaD4AXDBg9BrYocIPJdvP8gN//iOlNhQvr7nR6ffoabCqAHx9Vxj6glAt3PggocgZbh3OysNaJ10ERd5OoW9JenoLU0T37t3L8uWLePNN99k2bJl7Nmzp90H6ODee/dWOr1S40VETpK3DhZcAm9dYwToobEw6c/w23XGqJ4LI53f7TmKzQ7pncM6RoD+w+cw/xz47wwj4IxONap1/+Yr6DvZpYBzVX3mwfBusX4XoAN0jwsnPjKYmjobG3KKTr+DJQCGX29UNp/4IARHw8Et8K8r4fWfQP73Xu+zr41I74TFbCL3WCX7j7pQGC4oDM75HdzxPZx9B1iCYd/X8Pcfwbs3GMUJpc1Rurt0WN5IYW9pOnpL0sQtFotzNL6jcee9eyOdXqnxIiL1inJg6UOw6V3jeUAIjLkFzr4TQmPcOpRzPnp7T3Uv2AxL7oNdXxjPQ2Jg3F0w6ma314X351R3cMxL78yH3x9g9Z4jrv/sA0PhnDth2FT46mlY8xLs+RL+Nh6GXAs/uheiu572MP4oIjiAwSnRbMgpYuXuI6R2crHAYmisMXo+crqRufH9W7BlEWz72PjsnXu30UbaBP+75SbiouaqbrtTydvdAmQtGRmH44Hntddey4QJE5QG7UGuXltXf3bufCZaUjVeFePF37zwwgukp6cTEhLC6NGjWbNmTZNtt2zZwk9/+lPS09MxmUzMmzfvjI8pPlBVAp8/CH8ZUR+gm4zg6LfrYOIDbgfocHw+ur8GnKdVWgj/mWGMnu/6AsyBMHYG3L4Bzr7d7QDdbj9xPrp/FY07kaPvTc5Lb05YJ5j0KMxYCwOvBOzw/Zvwl+HwxaNQXebZzrYRjsKKq04uHueKmFS4/EVjbfoe54G1xlh14bmhsGo+WGs93FtpCQXp0i6dLrW4NVLYO2o6ur9z5WfnzdR4pcWLv3nnnXeYOXMms2fPZv369QwZMoRJkyZx8ODBRttXVFTQo0cPHnvsMRITEz1yTGlFNiusf90Igr5+xljrPH2csTTY5fMhupFCVi4oqqghu6AEaIeV3Wur4Ktn4C/DYMM/ATv0nwIz1hgBZljLAuwfDpZxtLyGkEAzg7rGeLLHrcqxXvqGnCKqalt4Uzq2G1z5Ctz0BaSNNdZY//IJ43Oa9SbYbB7sse85Mg5W7j7S6CCASxIHwi8XGastdMmAymOw+B7461jY8T8P9lZaQkG6tDuO1OKTAyNHavHChQtblMIOrq8BDhoZ92en+9m585lw57PmymdXpK155plnmD59OtOmTaN///7Mnz+fsLAwXn311Ubbjxw5kieffJJrrrmG4OBgjxwToLq6mpKSkgYP8bC9X8NL4+G/vzWWdurUE655C67/EJIzz+jQq/ccxW6Hnl3CiY9yb0S5zbLbYcsH8MJIWPog1JQZ637/6jP42WvQqccZHf7bnYcBGNGtE0EB/vsnfc8u4XSJDKa6zsZ6x3rpLZUyHKZ9Cj973ViCrKwAPrjFmH+ds8ozHW4DjBoEJvKLq8hxZV56Uxzr0v/mG/jxXAiLgyM/wJtXwRs/hYPbPNdpcYv//kaLNMLV1OL4+HiXjnemKezSfnk6NT4+Pt7ttHgRX6upqWHdunVMnDjRuc1sNjNx4kRWrlzZqsecM2cO0dHRzkdqamqLzi+NKMqBf081CsMVbDKKdU36M9y6CjIu9khF7XaX6l6wGV67FN693rh+kclw+UvGeudpYzxyii9/MIL0c3rHeeR4vmIymTinl/Eevqp/T2d4QOh/Gcz4zpiDHRQJBzbAq5Pg/ZugOO/Mz+FjYUEBDEmJARpZL70lLAEw4ldGQb6zfmtMxdj5Obx4Fnx6jzHKLq1KQbq0OXa7naPlNew/WsHR8ppGg5am5uy6mloMKIVdzpgnU+MBtyvGn27uuiu/SyJn4vDhw1itVhISEhpsT0hIoKCgoFWPOWvWLIqLi50Px7/1cgZqKowCU8+PhK3/AZO5/g/5DTD2NggI8tipVrWXonEVR+Gj38HfxsHer4xCeuPvgd+uhSFXg9kzf3pX11mdwdm5vbt45Ji+dG4fI0j/cschzx00INioZn77eqPAHCajfsLzI4y1w2srPXcuHzgx5d1jQqLhwkfgttXQ9xKwW2H1fGPawNpXjeku0ipU3V3ajOLKWt5fl8tr3+5l3wmpO906hXH9Wen8dHgK0aGBja6TnZKSwrPPPkt1dbVL5zp48GCLqrB35Irq0rjTfSZcrRrv6lzbEyvGN/V7cP5Fl7r0uyTSngQHBzeZPi9ustth6wfw2b1QUv9vTPo4mPyYMY/Vww6VVrOtoBTw45F0m9UIYr54BKqKjG39p8CFD0NMmsdPt27fMSprrcRFBNMvKdLjx29t5/QybjRsOVDC4bJq4iI8+LscEQ8/+QuMuNEYFd6/CpY9ChvegMlzoK9nskFa29ienfnLFzv5ZucRbDY7ZrMH30PnnnDtm0aBw0//Dw5vN24+rX0VLn7KY9kg0jSNpEubsGLHIcbOWcrDH209ZW5NztEKHv5oK2PnLOXPry5qds7uDz/84NL5kpKSlMIurcaVz5o7FeObm7v+i7sfZeTDn532d2mFJ0crpMOKi4vDYrFQWFjYYHthYWGTReF8cUxxw8FsY73pd28wAvToVLjqNWPeuRcCdDg+ejqwa5Rng7PWsu9bY+mvT+42AvT4AXD9R8a8cy8E6ABf7jDSws/tHddkppY/6RIZTP+kKAC+9kTKe2OSM+FXi+GnrxjTD4r2wdvXGXOvD7v292NbMrxbLGFBFg6XVbM130s1OHr+CG75BiY/boyyF2wypg0svBlKW5YtJa7RSLr43Iodh5j2jzXYgcaScR3bKmut/G2bheD0oVTtWd+wTf3o5EsvvURKSgp5eXlNpvYmJCSQmpqKzWZrcg1tk8nE3r17KS0tJTIykrS0NMxNpKjZbDZycnJcautue7V1v21b6cfJbadMmdLkeu02m43U1FQSEhJOCUwcTCYTKSkpjBkzhu7duzf6+Q5OH0qXK2dTbbU3+kfbib9L0/6xhn9MG8X4Pv6fJim+ExQUxPDhw1m6dClTpkwBjM/+0qVLmTFjRps5prigqhiWP26kttqtRpr22Xca6cJBLq7D3EKOm4Z+9+9RaQH87z7Y9G/jeUg0/Og+GD7NmOPrRY4bG+f62zVrxrl9urA1v4QvdxxiylAvrXFuMsGgK6HPZGN99ZXPw66lRkXzsbfCuX+A4AjvnNvDggMsnNWzM59nH2TFjkMM7BrtnRNZAmHMb4zrtvRBWP9P2PiOsb76+HtgzC1GG/EoBeniU8WVtdzyxjojQD/NdFnjdRNdpswi9683YK8uP6VNXl4eM2bM4IUXXjgltdihR48ePPjgg2RkZHD55ZfTr1+/BunK2dnZLFq0iG3btlFVVUVISEiDtidyp603j622basfzbU9OTX+xLY9evRoNEh3BNx33303M2bMaHRerik4nC5TZgEmTKbmk6TsdsAEt7yxjpWzzlfqu5yRmTNncv311zNixAhGjRrFvHnzKC8vZ9q0aQBMnTqVrl27MmfOHMAoDLd161bn/+fl5ZGVlUVERAS9evVy6ZjiQXY7bPw3/O9eo2I7QMaPjaXBYtO9fnqrzc5XPziCdNeKuvqctRbWvATL5kBNKWAy5jyfPxvCvZ+uf6j0+MipvxeNO9G5veOYv2IXX/5wGLu98ZvNHhMcARNnw9BfwOJZ8MNn8M2zsPFd47M/4HK/SIEf36eLM0i/7bxe3j1ZeJwxbWD4DfDJHyBvLSy5z5g2cPGT0GO8d8/fwfg0SP/yyy958sknWbduHfn5+SxatMh517wpy5cvZ+bMmWzZsoXU1FTuvfdebrjhhlbpr3je++tyqayxNjqC3hiT2QyBwUQM/BGl6z5stE12djbz5s3jySefbJAOHBoayvnnn09mZibl5eVs2LCB/fv3c/vttzuDrOzsbJ577jkOHz5Mamoq4eHhHmnrzWOrbfu5xt26daNz584sXbqUysrjBW1SUlK4++67yc7OZtOmTY1+7iMGno8pMPi0AbqD3Q6VNVYWrs9l2tndXdpHpDFXX301hw4d4v7776egoIDMzEwWL17sLPyWk5PTIOPkwIEDDB061Pn8qaee4qmnnmL8+PEsX77cpWOKhxRugY/vhpxvjeedesLFT0Cvic3v50Ebc4s4VlFLZEgAw9JiWu28Lbb3a+OaHco2nncdbszR7Tqs1brw9U7jpsaAZD+dHtCE4emxhAYa6dvZ+aX0T47y/kk794Sf/xu2LzbWCD+2F96bBuv+Yfxcu/T1fh/OgHFjawvr9h2jpKqWqJBWuOnedTjcuAS+fxOWzDbmq7/+ExhwhXGDIyrZ+33oAHw6J728vJwhQ4bwwgsvuNR+z549XHLJJZx33nlkZWVx5513ctNNN/HZZ595uafiDXa7nde+3duCHSFy+KVNvlxbW0t5eTm7d+9m6dKl/OxnP+Pcc8/lrrvuYvjw4VgsFqKioujfvz+HDx/mgw8+wGazYbPZWLRoEYcPH6Z///5ERUV5pC3gtWOrbfu7xsOHD+euu+7i3HPP5eqrr2bp0qXs2rWLsrIyDh8+TEZGRqOf+8jhP3b/dwlY8M1eVX2XMzZjxgz27dtHdXU1q1evZvTo0c7Xli9fzoIFC5zP09PTsdvtpzwcAborx5QzVFVijB7OH2cE6IFhcP79cOvKVg3Q4Xiq+zm94giwtOFSSaUF8P50Yxm6Q9kQ1tkYVbzx81YN0OGE+ejtKNUdjPRtR8XyL39o5bopfSfDrathwh+NqR57vjSWH1tyP1SXtW5f3JDWOYweceFYbXa+3emlufyNMZuNLITfroWR042VH7YsNFaC+PYvRraJnBGfjqRfdNFFXHTRRS63nz9/Pt27d+fpp58GoF+/fnz99dfMnTuXSZMmNbpPdXV1g4rfJSVeKqwgbjtWUdug8rSrTGYzgbHJmEMisVWVNngtKiqKzMxMsrOzycvLo0ePHgQHBzuD8wbHqZ/jm52dTU5ODgDbtm0jNTX1lBSrM2mbnp5OTk6OV46ttu3zGlssFoYNG8aRI0fo0aMHeXl5zrYRERFERkZSWnr8s28OjSIw1v0713Zg39EKiipqiQ333FJKItJG2e2w+X347E9QVj9tpt9PjDXPY3yzrnybn49urYPvXjaWoqsuAUzGMnQ/uhfCOrV6d2w2u3Mt8XHtKNXdYVzvOL7YdpCvfjjEb8b3bN2TB4bAhHuMpfIWz4Ltnxgp8JveM35H+l/WJlPgz+3Thd2Hy1mx4xCTB7pWhNZjQmPhkqeM6R4f3wW5a4ypMxv+ZWxPP6d1+9OOtOFblqdauXIlEyc2vMM7adIkVq5c2eQ+c+bMITo62vlwrEcsvldeXXdG+5uCQk/ZNnnyZCIjI6mqqqK0tJTS0lKqqqoIDw9v9Bjh4eFebwu0iX6057bQca6x2Ww+5eamKTCk0WO4quwMfxdFxA8c2mGkpL5/oxGgd+oBv3gfrv6nzwL0Y+U1fL+/CIDxfdtgkL5/Dbw0ARb/nxGgJw+D6V/Aj5/xSYAOkF1gLFEWFmRhRDff9MGbHNkB3+05RkWNj76bYtPh2rfg2ncgphuU5MG71xtV4I/s8k2fmuH43Vmx/ZDvMuOSBsOvPoOfPG9kmRzKNrJOFv4aylxbYlYa8qvCcQUFBafMR0tISKCkpITKykpCQ08N2mbNmsXMmTOdz0tKSlwK1K1WK7W1StXwpkDq6BppOX3DJpgT47DFGj/ziIgIxo0bR8+ePSktLSUpKYmwMKMabVJSEhaLhYiIU6t1tkbbqqoqwsLCfN6P9tzWcY0jIyMpLy8nKurUeWzl5eWEhIQQGWmsJxsSEuK3bfv168fPfvYzPv30U0pLS7HXVp2yvzsigv3qq0BE3FFTAV89Bd88B7ZaI5V33F1w1u3GyKEPfbXzMDY79E2IJCn61L/hfKb8CHw+Gzb803geEmMUGRt2g5Hm60OOVPexPToTFOBXY20u6REXTteYUPKKKlm9+yjnZfiwmGDfyUYxtK+egW/mHa8Cf87v4Jw7IbBtfGbH9uhMcICZA8VV/HCwjD4Jkb7piNkMw34JGZfAFw/D2n/Axrdh+6dw/n1GBoq55X/3dzTt/i+z4OBggoNdL6pht9spKCigqKjIe50Sp0fOT8Bqs7tcOA7ABJiwYz7reSwWCyaTiYCA4x/l2tpagoKCnNMcrr32WmpqaggMPLWYRmu03bNnD3a73ef9aM9tHdf4V7/6FWvWrKGoqKhBCrndbic3N5dhw4aRlmasWZuRkcGGDRvo37+/X7bt168fffv2Zd++fWRv20aptYwqS4Tbv0tpncKICVN1d5F2afunRhXmYmOKDb0nGYXhWqFquytWbK9PdW8ro+g2G2S9YcxDrjxmbBv6C5j4oFHZug1wVMJvj6nuYEwNO7dPHG+t2c+XPxzybZAORiD+oz/BkGvgk7th1xew4jEj+Lz4aejdujUcGhMSaGF0j858ueMQK7Yf8l2Q7hDWCX48FzJ/AR//DvK/N67dhjeM7a1cw8Ff+VWQnpiYeMryRIWFhURFRTU6it4SjgA9Pj6esLAw7y7/IMSU13Cw1P1RwNhQC7VlRVitVgIDAzGbzdhsNmpra7FYLHTu3JmQEGOEoKqqiiNHjvi0bVvpR3tua7fbiY2NxWw2s2rVKnJycpyV1XNzc4mLi2PKlCnOKtOXX345+/fvZ+vWraSkpPht24qKCoYPG0bamG689N0Rt3+Xbjg7Xf/OibQ3RTnw6T3GnFqA6FS46HHoe3GbmVNrs9nb1nz0gs3w8UzYv9p4Hj/ASGtPG+Pbfp2goqaOtXuNmwftrWjcic7t3cUI0ne0cvG45nTuCb9YCFs/gMV/NKrA/+unxjz1SXMg2kvrurtofJ8uRpC+4xDTz+3h0744pQyH6ctg7auw9GHIz4KXfwQjb4Qf3QehMb7uYZvmV0H62LFj+eSTTxpsW7JkCWPHjvXI8a1WqzNA79zZ++tcCnQJCuJIlR2bi3NoTBh3WZO7RFIbFUZRURFVVVXU1dVhNpuJjIwkJiamwU2bkJAQgoODfdq2rfSjPbcFnM9tNhubN28mLy+PkJAQhg0bxpQpUxos19avXz9uv/125xrl/t42Ob0X//x+KZW1Vlz5dTKbjLvvVwxLOX1jEfEP1lpY+TyseAJqK8AcAGNnwPg/QFDj9S98pcHc6vRY33WkuhSWPwarXgS7FYIi4Lw/wqhfg6Vt/Zn8zc4j1FhtpMSG0j2ubf08PemsXnFYzCZ2HSpn/9EKUjuF+bpLBpPJWD+918Tjn5mt/4GdS2HCLBj9G599Zsb36cLDwJo9R6moqSMsqI18ds0WGDXdKFC55D7Y+A5893fjul34KAz+WZu5cdjWmOw+XHunrKyMnTt3AjB06FCeeeYZzjvvPDp16kRaWhqzZs0iLy+P119/HTCWYBs4cCC33XYbv/rVr/jiiy+4/fbb+fjjj5us7n6ykpISoqOjKS4uPmUeaFVVFXv27CE9Pd1jI/NyeqVVtew9XO5Smq4JSI8LJ7J+HUi73U5NTQ1WqxWLxUJQUFCTo4JtoW1b6Ud7bltZWcmePXsIDg6moqKCyMhI0tLSGqzTfCKbzUZOTg6lpaV+33bFjkNM+8ca7NBsoG4yGb9LC6aNatejMf6kue8maZkOd033fmOMBB/aZjzvdg5c8jTEN75so6+9sGwnT362nYn94vn79SNbvwN2O2T/Fz79Pyg9YGxrI6OiTfnDe9/z77W53HBWOg/8ZICvu+NV17y0klW7j3Lfj/tz4zndfd2dxhVsho9+Z1Q0B0gYaKRzp45q9a7Y7XbGPbGM3GOVvHL9CM7vl3D6nXxhz5dGFfjDO4zn3c81pg106ePbfrUSd76XfHqbZe3atZx33nnO544Cb9dffz0LFiwgPz/fuVQRQPfu3fn444/53e9+x7PP/n979x1XVf0GcPxzuewtgoKK4kDEiTtw4QqzTBquhiOzMmfmLFdZYcPKzNSs1KYNTfu5zURNDQcOVNwMNREHsue95/fHkZvIEBS8F3jer9d96T33nHuecy53POf7/T7f+dSqVYuvvvqq2Al6cUnXzwfLwdoCL1c7Yq6nFdmibqbRUKeqrSFBB/W1Km7NAVNY11TiqOjrajQaatasmWe4QWHMzMzw8vIq1nOb+rpdGrqxbFg7Rn5/kPQsHUCei1+5n2w2FloWP9daEnQhKoLUa7BlBhz5Ub1v6woPv6OOoTXh3zNG7ep+Iwo2ToYzW9T7VbxMZnxxYXR6hW2RapXshxubaAJWih5u7M4/52+w5Xic6Sbp7k3Viua5dQyuHIOve0KrIdBj9gOdAUCj0dCloRs/hMUSeuqq6SbpdTvDK7th7wLY8eF/89F3GAedJ5pMMT5TYNSWdGMoTkt63bp1i/XjXpSuHL2em2nZXEvJJCtHb1huaW6Gq70VVWwt0Bq5qqowffI+hsT0bFaHX2T57mhibqQZltdxsWVoBy+eal0LR2spFmdKKl2r7wNQ4c+pXg+HvoWtsyDjJqCB1kPVKuQ2Ruw+Xgw3UrNo885W9Arsmtz1wXVnzslUq9zv+ghyMkBrCR3GQ6cJJp8c7I++Qb/Fe3GyseDA9B5YaCv276ELN9Lo9MF2zDRwcHpPqthZGjukoqVeVxP1w9+r922rQs854PfMA7tY9ueJK7z47QFqOFmze2o30290TIhWa2ec3qTed64DvT+Chg8bNayyVJLvpYr9DhcABAYGMn78+FJf934tX74cZ2dnw31zMzUZ96nuQGMPRxq5q//6VHfA1d4KrZkZiqLw0ksv4eLigkaj4fDhww8k1vsVHR1druK9F6X5txMaGopGo5FZFu6Rk40FwzrUJXRSIIdm9GTX5K4cmtGT0EmBDOtQVxJ0Icq7uAj4Jgj+N05N0N2bwYt/Qp9PTT5BB/gz8gp6BRp7OD64BP38DljUAba/oybodTvDyD1q5W4TT9ABthyPA6Bbo2oVPkEH8HSxxdfDEb0C206Wg3m27apC8EIYtgncfCHtOqx9FZb1hvjIBxJCR29XbC21/JuYQcSlxAeyz/tSxQsGrYQBP4BjTbgZAz/2g5+fg8RLxo7O6Cr+u7ySGDp0qKGb7+23s2fPsnr1aubMmWPsEPMZMGAAp0+fzrdco9FgrjXD0lyLudYsz5XATZs2sXz5ctatW8fly5dp2rTpgwy5WIYOHUpwcHCeZZ6eniYbrykKCAjg8uXLODk5GTuUck2j0VDFzhJPF1uq2BVdK0EIUQ5kJquVpZd0UcfBWtqrY6hHhEKtNsaOrtg2H1MTzl5N3ct+Z8lXYNUI+PZxuH4G7KrBk1/B4D/A1bvs918KFEVhywl1dqPK0NU9V+6x5l6gKBfq+MMru6Dn22BhC7F7YHFHtZU9K7VMd21toaWrjzpl3aZj5eScaTTg+xiM2gcBY0Cjhcj/wedtYc8CtRhmJSVJehnR6XSEhoby008/ERoaik6nK/N99urVi8uXL+e51a1bFxcXFxwcjDdnYlZWVoHLbWxsqFatZPNfnjt3Dg8PDwICAnB3d88zP3pxKYpCTk5Oibe7H1qt9p7jrYwsLS1xd3eXpFIIIUAtcnZ8DXzeDv5ZqFYhbxwMo/eD/6smV4W8KCmZOew6cw2AoCZlmKTrdbBvqfpjP+IXQANtX1TPWfN+Jj1e/05n4lOIuZ6GpblZpaol8nATNUnfeeaqoc5KuaC1UMdYjwoDn0dBnwO758PC9nByfZnuOvecbToWR7ka0Wxlr9bSeHkneLaH7FTYMh2+DITYMGNHZxSSpJeB1atX4+XlRdeuXXnmmWfo2rUrXl5erF69ukz3a2Vlhbu7e56bVqvN1w35iy++wNvbG2tra6pXr87TTz+d53n0ej2TJ0/GxcUFd3d3Zs+enefxmzdv8uKLL+Lm5oajoyPdunXjyJEjhsdnz56Nn58fX331VZHjgu/s7p673XfffYeXlxdOTk4MHDiQ5ORkQG2hHjNmDLGxsWg0GkPxrMzMTMaOHUu1atWwtramY8eO7N+/3/C8uV2nN27cSOvWrbGysuLvv/8mMDCQMWPGMH78eKpUqUL16tVZunQpqampDBs2DAcHBxo0aMDGjRsNz6XT6Rg+fDh169bFxsYGHx8f5s+fn+cYVqxYwdq1aw29GUJDQwvs7r5jxw7atWuHlZUVHh4eTJ06Nc/Fg8DAQMaOHVvka3GnnJwcxo4di7OzM1WrVmXKlCkMGTIkT8u+Xq8nJCTEcAwtWrTgt99+y/M8d4stNTWVwYMHY29vj4eHB/PmzcsXS2ZmJhMnTqRmzZrY2dnRvn17QkNDDY/HxMTQp08fqlSpgp2dHU2aNDFMsVhQd/fdu3cTGBiIra0tVapUISgoiISEhCLPhxBClHs3zsMPT8OvQ9Qq5FW84NnfoP8KcKxh7OhKbPvJeLJ0euq62tGwun3Z7OTfQ/BVd9gwETITwcMPRmxTq92Xw7mZc1uSOzZwxc6q/FyQuV+NPRyp6WxDRraev89eM3Y4JedcGwb9qHbpdqoNiRdg5TPw40BIiCmTXXZrVA1LrRnnr6VyNj6lTPZRptybqkMGHl+gDt25cgy+eRjWjoa0G8aO7oGSJL2UrV69mqeffpqLFy/mWX7p0iWefvrpMk/U7+bAgQOMHTuWt99+m1OnTrFp0yY6d+6cZ50VK1ZgZ2dHWFgYH3zwAW+//TZbt241PN6vXz/i4+PZuHEjBw8epFWrVnTv3p0bN/5785w9e5ZVq1axevXqEo3DPnfuHGvWrGHdunWsW7eOHTt2MHfuXADmz5/P22+/Ta1atbh8+bIhEZ88eTKrVq1ixYoVhIeH06BBA4KCgvLEAzB16lTmzp1LZGQkzZs3Nxyrq6sr+/btY8yYMYwcOZJ+/foREBBAeHg4Dz/8MM8//zxpaWrxLb1eT61atfj11185ceIEM2fO5I033uCXX34BYOLEifTv3z9Pr4aAgIB8x3np0iV69+5N27ZtOXLkCIsWLeLrr7/mnXfeKdFrcaf333+fH374gWXLlrF7926SkpJYs2ZNnnVCQkL49ttvWbx4McePH+e1117jueeeY8eOHcWObdKkSezYsYO1a9eyZcsWQkNDCQ8Pz7Of0aNHs3fvXlauXMnRo0fp168fvXr14syZMwCMGjWKzMxMdu7cSUREBO+//z729gX/YDt8+DDdu3encePG7N27l7///ps+ffo8kB4qQghhFNkZ6nznX/jD2T/VImddpsCr/4B3T2NHd88230o4g5qUQW+p9Jvq9E5fdlUTdStHtRDViL+gZuvS3dcDVBm7uoM6ZKtneezyfiefR2DUP9DxNTAzh9Mb1Vb1XfMgp+DepvfKwdqCDg2qAv+918odMzNoNRhGH4SWz6nLDn0HC1pD+Hdq0czKQKlkEhMTFUBJTEzM91h6erpy4sQJJT09/Z6eOycnR6lVq5aCOutRvptGo1E8PT2VnJyc+z2MfIYMGaJotVrFzs7OcHv66acVRVGULl26KOPGjVMURVFWrVqlODo6KklJSQU+T5cuXZSOHTvmWda2bVtlypQpiqIoyq5duxRHR0clIyMjzzr169dXlixZoiiKosyaNUuxsLBQ4uPji4x52bJlipOTk+H+rFmzFFtb2zyxTZo0SWnfvr3h/ieffKLUqVPHcD8lJUWxsLBQfvjhB8OyrKwspUaNGsoHH3ygKIqibN++XQGUNWvWFHmsOTk5ip2dnfL8888bll2+fFkBlL179xZ6HKNGjVKeeuopw/0hQ4Yoffv2zbNOVFSUAiiHDh1SFEVR3njjDcXHx0fR6/WGdRYuXKjY29srOp2uwPgUJe9rUZDq1asrH374YZ5jql27tiGejIwMxdbWVtmzZ0+e7YYPH64MGjSoWLElJycrlpaWyi+//GJ4/Pr164qNjY3h7ywmJkbRarXKpUuX8uyne/fuyrRp0xRFUZRmzZops2fPLvA4cl+zhIQERVEUZdCgQUqHDh0KPe7b3e/7WAhjKOq7Sdybcn1Oz25TlPktFWWWo3pb3kdRrp4xdlT3LT0rR2k8Y6NSZ8o65VBsQuk9sV6vKEd+VpQPGvx3zn4brihJl0tvH0by7800pc6UdYrX1HVKfFLG3TeoYHafvarUmbJOafn2FiVHp7/7BqbuSqSifNP7v7/TBW0U5fyOUt3Fyn0xSp0p65RHP9tZqs9rNNF7FGXhQ/+ds696KsrlCGNHdU9K8r1UefrMPAC7du3K14J+O0VRuHDhArt27SIwMLDU99+1a1cWLVpkuG9nZ5dvnZ49e1KnTh3q1atHr1696NWrF0888QS2tv9VV81tZc7l4eFBfLxaWfPIkSOkpKRQtWrVPOukp6dz7tw5w/06derg5lbycVNeXl55xs/fvu+CnDt3juzsbDp06GBYZmFhQbt27YiMzFtNs02b/EV1bj9WrVZL1apVadasmWFZ9erqFdzbY1i4cCHffPMNsbGxpKenk5WVhZ+fX/EPEoiMjMTf3z9PK0KHDh1ISUnh4sWL1K5dO198UPT5SExM5MqVK7Rr1y7PMbVu3Rr9rauOZ8+eJS0tjZ4987bCZGVl0bJly2LFlpCQQFZWFu3btzc87uLigo+Pj+F+REQEOp2Ohg0b5tlPZmam4W9n7NixjBw5ki1bttCjRw+eeuqpfMeb6/Dhw/Tr16/Ax4QQosJI+hc2vwHHf1fv27tDr/egyZPlagx1YXafvUZqlg53R2ua1yylwqDxJ9Vu7dG71PtVvdVu7fW6lM7zG9mft1rRW9WugpuDlZGjefDaebngZGPBjdQsDsYk0K7ug5t7vExUawRD18HRn2Hzm3DtNKzoA836q2OyHe6/t0QP3+qYaSI4dimJCzfSHtwMCmWljr86Vj1sMWwPgQthsKQztH8FAqeCdQWcYhOQJL0UXb58uVTXKyk7OzsaNGhQ5DoODg6Eh4cTGhrKli1bmDlzJrNnz2b//v2G8eEWFnmnZ9JoNIYkLyUlBQ8Pjzxji3PdPr68oAsExVHUvu9XQTEVtL/bl+UmqrkxrFy5kokTJzJv3jz8/f1xcHDgww8/JCysbIpalPb5SElRxyetX7+emjVr5nnMyqr0vvxTUlLQarUcPHgQrVab57HcLu0vvvgiQUFBrF+/ni1bthASEsK8efMYM2ZMvuezsTH96XGEEOKe6bIhbAmEhkBWCmjMoN3L0PWNCvUDNLfidFCT6piZ3edFh8wU2PkB7F2oFuYyt4bOEyFgLJhXnGS2snZ1z2WuNaN7o2qsPnSJLcfjyn+SDuoFtxYDoWEQbJsDB75Rixue3gTdpkOb4fdVDLKqvRVtvVwIi7rB5uNxvNipXikGbyRaC7X6e5MnYfM0OLFWLaJ5bBUEvQtNn6oQFzJvJ2PSS5GHh0eprldWzM3N6dGjBx988AFHjx4lOjqav/76q1jbtmrViri4OMzNzWnQoEGem6uraxlHnl/9+vWxtLRk9+7dhmXZ2dns37+fxo0bl/r+du/eTUBAAK+++iotW7akQYMGeXoQgFqZ/G5jpX19fdm7d2+eypu7d+/GwcGBWrVq3VNsTk5OVK9ePU/RPJ1Ol2eseOPGjbGysiI2Njbf6+fp6Vms2OrXr4+FhUWeCxMJCQl5ptNr2bIlOp2O+Pj4fPtxd/+vmq+npyevvPIKq1ev5vXXX2fp0qUFHlvz5s3Ztm3bPZ0XIYQwaTF71FahLW+qCXqttvBSKDwyt0Il6Dk6PX9Gqgln0P1MvaYocOIPdUzv7vlqgt7wEbWSdudJFSpBT0zPZu+56wA8XJaV8E1cbsXyLSeulK+K5XdjUwUe+1gtalijJWQmwcbJsDQQLuy7r6fOnd5wy/ErpRCoCXGqCf2/hWdXQZW6kBIHq4bDt33hav5pncszSdJLUadOnahVq1ahhVA0Gg2enp506tTpAUf2n3Xr1vHZZ59x+PBhYmJi+Pbbb9Hr9Xm6KhelR48e+Pv7ExwczJYtW4iOjmbPnj28+eabHDhwoIyjz8/Ozo6RI0cyadIkNm3axIkTJxgxYgRpaWkMHz681Pfn7e3NgQMH2Lx5M6dPn2bGjBl5kmJQu+wfPXqUU6dOce3aNbKz88/x+Oqrr3LhwgXGjBnDyZMnWbt2LbNmzWLChAmYmd3723LMmDGEhISwdu1aTp06xbhx40hISDD8TTo4ODBx4kRee+01VqxYwblz5wgPD2fBggWsWLGiWLHZ29szfPhwJk2axF9//cWxY8cYOnRonrgbNmzIs88+y+DBg1m9ejVRUVHs27ePkJAQ1q9Xpx8ZP348mzdvJioqivDwcLZv346vr2+BxzVt2jT279/Pq6++ytGjRzl58iSLFi3i2rVyWO1VCCFAnb979cuw7BGIPwE2LmpF4xe2gEcLY0dX6vZF3yAhLZsqtha087rH1tDr5+D7p+CX5yHpoloxe+BP8MxKtep9BbPp2GVy9Ao+1R2o63pvPRQrgs4N3bCx0BJ7I40jFxONHU7pq9kaXrw1+4C1E8RFwNc9Ye0oSL233zm50xvuj7nB1eTM0ozWNHj3UItoBr4BWiuI2gGLAmDrrDKfj/5BkSS9FGm1WsN0XHcm6rn3P/3003zdfx8kZ2dnVq9eTbdu3fD19WXx4sX89NNPNGnSpFjbazQaNmzYQOfOnRk2bBgNGzZk4MCBxMTEGMZvP2hz587lqaee4vnnn6dVq1acPXuWzZs3U6VKlVLf18svv8yTTz7JgAEDaN++PdevX+fVV1/Ns86IESPw8fGhTZs2uLm55Wnlz1WzZk02bNjAvn37aNGiBa+88grDhw9n+vTp9xXflClTGDRoEIMHD8bf3x97e3uCgoLyTIM3Z84cZsyYQUhICL6+vvTq1Yv169dTt27dYsf24Ycf0qlTJ/r06UOPHj3o2LEjrVvnrZy7bNkyBg8ezOuvv46Pjw/BwcHs37/fMN5ep9MxatQoQwwNGzbkiy++KPC4GjZsyJYtWzhy5Ajt2rXD39+ftWvXyrzzQojyR5cD/yyGz9vA0ZWABloNgTEH1YrG93Gh1pRtvtXVvYdvdcy1JTzGrDS1W/AXD8G5bWql+86T1NbzRr3LIFrTsObQvwD0bVn+ptorTbaW5obW9DWHLhk5mjJipoW2L6oVzf1yK5p/Dwtawf6vQF+y2WxqONvQvJYTigJbTpTTKu93Y2ENgVPUzwHvINBnw+5P4fN2anf4ct7rQqNUqH4jd5eUlISTkxOJiYk4OubtRpaRkUFUVFSRc3sXx+rVqxk3blyeInKenp58+umnPPnkk/f8vEKUlF6vx9fXl/79+zNnzhxjh/NAlNb7WIgHqajvJnFvTPKcxuyBDZPUuX9B7eLaex7UKr/TgxVHjk7PQyF/cS0lk6+HtKG7bzEv6isKRP5PLaaXeEFdVr879P4QqtYvu4BNQFxiBv5zt6Eo8PeUrtSqUs6Lf92nv05e4YXlB3C1t+Sfad1LfqGnvIkNU6cTvBKh3vdooX5WeLYt9lN8EXqWDzad4qF6Lqx8yb+MAjURigKnNsKmKXAzVl1Wrys88gG4NSx62weoJN9LFfwv3DiefPJJoqOj2b59Oz/++CPbt28nKipKEnRR5mJiYli6dCmnT58mIiKCkSNHEhUVxTPPPGPs0IQQovJKjoNVI9Su7VeOgbUzPPaJ2sW1gifoALvOXuNaSiYudpZ0bljMmV+unYXvn1S7tideACdP6P8dPLeqwifoAH8cuYSiQFuvKpU+QQfo5O2Gi50l11Ky2H1rnH6FVrv9rdoUH4CVE1w+Al/3gDWjIOVqsZ7i8RZqD4x/zt/gYkJaGQZrAjQatVfNqH3QZYra2+b89ltd4GdCZrKxIywxSdLLiFarJTAwkEGDBhEYGGjULu6i8jAzM2P58uW0bduWDh06EBERwZ9//lnoWG8hhBBlKCcL9iyABa3V6s1ooPVQGBMObV5Qu7hWAqvD1S7Kj7eogcXdWkAzk9Uf1V88BOf+uq1r+z5o/HiFq+BcGENXd7+ad1mzcrDQmvFoM7Xw8tqK2uX9TlpzaP8yjDnwXxf4w9+rnyf/LFaHzhShVhVbHqqn1n9Ye/jfso7WNFjYqLNivPrPbV3g58PnbSHit3LVBV6SdCEqEE9PT3bv3k1iYiJJSUns2bOHzp07GzssIYSofM5uU1txtkxXq7bXbAMj/oI+88GuqrGje2CSM7LZclwdE/tkqyISTkWBo7/Agja3qrZng/fD6o/tbtPBsvK0Jp+5ksyJy0mYm2kMiamA4Ftj8zcfjyM9q2RjtMs1+2oQvBCGb1W7vWcmqt26F3eEqJ1FbvpkK3XGoNXhFytWZfy7qVofnv0FBv2sFpVMvqxWgV/WWy3MVw5Iki6EEEIIUVpuRMFPz6hdta+fATs3ePxz9Qd2zVbGju6B2xgRR2aOnvpudjSr6VTwSv8eVocCrB6hTqlUpa764/rZXytF1/Y7rTmsthQH+rhRxc7SyNGYjla1q+DpYkNqlo6tkRVsarHi8GwHI7arQ2VsXOBqJKzoA78M+W8c9h0eaeqOlbkZ566mcrQiVsa/G59e8GoYdJ0O5jYQe2vKy/WvQ9oNY0dXJEnShRBCCCHuV2YKbHtbnb/71HrQaOGhUbeqtj9fYau2383qQ2oR3SdbFTBFbcpV+GMMfBkIsXvBwha6zVBbz316PfhgTYCiKIauydLVPS+NRkPfFuo5qTRd3u9kplWHyow5qFaD15jBiTVqd+7tIepMCLdxsLYwTMf2e2U9ZxbW0GWSOmygyROg6NWK+Qtawb6ldx02YCyV8xtDCCGEEKI06PVwZKU6TnTXPNBlQr1AGLkHer2nzntcSV1MSOOf82prVXDL2xLOnCzYu1A9Z+HfAgo06wejD0DnieqP6krqYEwCFxPSsbPU0qO4VfArkdwu7ztOX+VGapaRozEiWxd1XvWXd0KdjpCTATvmqsn6sVV5xl4/cWuYyR9H/iVbpzdWxMbnVAv6LYch66BaE0hPgA0T1WED50ONHV0+kqQLIYQQQtyLC/vh657w+8u3uml7wcAf4fk1UK2RsaMzutwWYf96VanpbHNrmqRNsMhfnVYtM1EdY/vCZnjqK3CSluPcru5BTd2xsawchQVLokE1B5rUcCRHr7A+4rKxwzE+92YwdB30W6HOgJB0EX57Ab7pBZfCAejUwBVXeytupGax41TxKsNXaHU7qRc3Hp0HNlXUYQPf9lWHKV0/Z+zoDCRJF0IIIYQoicSLsOpFdUqkSwfA0h66z1IrkDd6tNJUIC+KoiisCs/t6l4T4iPVcfo/DYDrZ9Wx+n0+U8fY1n7IyNGahswcHeuPqolnsHR1L1Tuufn91t9XpafRQJNgGL0fur6pDhu58A8s7QprXsU89QrBfmoPhNzhJ5We1lwdLjAmHNq9rA5POrVeHa60+U1Iv2nsCCVJF0IIIYQolsxk+OsdtQJ5xK+ABlo+p44P7TQBzK2MHaHJOHoxkfNXU6lhkUzwpY/USve5U6p1GKf+OG49pNJMQ1ccGyPiSEjLxt3RmoD6lWcGgJLq61cDrZmG8NibRF5OMnY4psPCBrpMVoeNNB+oLjv8AyxoxUvKr9iQwZ+R8SSmZRs3TlNi6wK9P1CHJzXooc4qsfdzkxivLkm6qPCGDh1KcHCwscO4Z4GBgYwfP75Unis0NBSNRsPNmzdL5fmEEKJS0Ovg4Ar4rBXs/BBy0qFOB3gpFPouBAd3Y0doctbsP8cr2j/4y+I1LA4tV4s1NXoMRoVBz7fB2tHYIZqc7/+JAWBQu9qY320++UqsmqM1QU3U8fq550zcxqkmPLkEXtwGtdpBdhrVDn7MTptJPKYP5X9HpDU9n2qN4LlV8Oxv4NoQ0q6r49UXBcDpzUaZX10+ASqAxYsX4+DgQE7Of1d7UlJSsLCwIDAwMM+6uUnauXOmM+aiuO412Z4/fz7Lly8v9XjKo4CAAC5fvoyTU+UtZCSEECUS+w8s7gT/Gwup8er0YAO+h6HroYafsaMzPXo96Qd/ZMSR/ky1WIm1Pg08/GDoBhj4A7jUM3aEJulkXBIHYhLQmmkY2M7T2OGYvOfa1wFgzaFLpGSaZnVuo6vVBoZvgaeXgXNt3JTrfGy5mPZbn0Q5F2rs6EyTd0+1Vb33R2BbFa6dgh/7w3fBD3y8uiTpZUSv1xMdHU1ERATR0dHo9WVXTbFr166kpKRw4MABw7Jdu3bh7u5OWFgYGRkZhuXbt2+ndu3a1K9vWvOOZmWVXYVOJycnnJ2dy+z5yxNLS0vc3d3zT4MjhBCiYFmpEH8crJ0hKEQdd+7bR8adFyRqJywNxOZ/I6mhucZVTVWU4EXquHOvDsaOzqTltggHNalOdcfKW92+uPzrV6Wemx2pWbrKO7VYcWg00PRJGLWf9C4zSVZs8NafR/NdX/ihn1orQuSltYB2I9QhOQFj1SE6MXse+NAcSdLLQGRkJHPnzmXmzJnMmTOHmTNnMnfuXCIjy+aN4OPjg4eHB6GhoYZloaGh9O3bl7p16/LPP//kWd61a1cAvvvuO9q0aYODgwPu7u4888wzxMfHG9ZNSEjg2Wefxc3NDRsbG7y9vVm2bBmgJtWjR4/Gw8MDa2tr6tSpQ0hIiGHbmzdv8uKLL+Lm5oajoyPdunXjyJEjhsdnz56Nn58fX331FXXr1sXaWv1C+u2332jWrBk2NjZUrVqVHj16kJqayuzZs1mxYgVr165Fo9Gg0WgMx3vhwgX69++Ps7MzLi4u9O3bl+joaMO+7myBDwwMZOzYsUyePBkXFxfc3d2ZPXt2kec4JyeHsWPH4uzsTNWqVZkyZQpDhgzJ87x6vZ6QkBDq1q2LjY0NLVq04LfffsvzPDt27KBdu3ZYWVnh4eHB1KlT8/SASE1NZfDgwdjb2+Ph4cG8efPyxZKZmcnEiROpWbMmdnZ2tG/fPs9rHxMTQ58+fahSpQp2dnY0adKEDRs2AAV3d9+9ezeBgYHY2tpSpUoVgoKCSEhIKPJ8CCHE7RYuXIiXlxfW1ta0b9+effv2Fbn+r7/+SqNGjbC2tqZZs2aGz6hcQ4cONXzW59569TLSvNkNusOjH8PYQ+D/KphbGicOU3bluPqDf0UfuHyEVGz4ILs/W7qvR+P3TKWdI764UjJz+D1cTTRzW4hF0TQajeFcfb83BsUI3ZHLFQtrbLq+zmdNf2FZThA6tHBmi9qde+0oSJQLHfnYOMPDc9SCfMGL1Nk7HiD51CxlkZGRfPbZZxw6dAhXV1d8fHxwdXXl0KFDfPbZZ2WWqHft2pXt27cb7m/fvp3AwEC6dOliWJ6enk5YWJghSc/OzmbOnDkcOXKENWvWEB0dzdChQw3PMWPGDE6cOMHGjRuJjIxk0aJFuLq6AvDZZ5/xxx9/8Msvv3Dq1Cl++OEHvLy8DNv269eP+Ph4Nm7cyMGDB2nVqhXdu3fnxo0bhnXOnj3LqlWrWL16NYcPH+by5csMGjSIF154gcjISEJDQ3nyySdRFIWJEyfSv39/evXqxeXLl7l8+TIBAQFkZ2cTFBSEg4MDu3btYvfu3djb29OrV68iW+dXrFiBnZ0dYWFhfPDBB7z99tts3bq10PXff/99fvjhB5YtW8bu3btJSkpizZo1edYJCQnh22+/ZfHixRw/fpzXXnuN5557jh07dgBw6dIlevfuTdu2bTly5AiLFi3i66+/5p133jE8x6RJk9ixYwdr165ly5YthIaGEh4enmc/o0ePZu/evaxcuZKjR4/Sr18/evXqxZkzZwAYNWoUmZmZ7Ny5k4iICN5//33s7e0LPK7Dhw/TvXt3GjduzN69e/n777/p06cPOp2u0HMhhBC3+/nnn5kwYQKzZs0iPDycFi1aEBQUlOei7+327NnDoEGDGD58OIcOHSI4OJjg4GCOHTuWZ73bP+8vX77MTz/99CAOp2Bth6sFhkReNy/A7yNhUQf1B7+ZOf82fI7OGR/zrfnT9G3rbewIy4XfD10iNUtHPTc7/KVgXLE91boW1hZmnLqSzIEYaVwojqc7teStnCE8nPUh6Q0eVWtFHPpeLZS2dZZJVDU3OVW8oNnTD36/SiWTmJioAEpiYmK+x9LT05UTJ04o6enp9/TcOp1Oeffdd5Wnn35amTlzpjJr1izDbebMmcrTTz+tvPfee4pOp7vfw8hn6dKlip2dnZKdna0kJSUp5ubmSnx8vPLjjz8qnTt3VhRFUbZt26YASkxMTIHPsX//fgVQkpOTFUVRlD59+ijDhg0rcN0xY8Yo3bp1U/R6fb7Hdu3apTg6OioZGRl5ltevX19ZsmSJoiiKMmvWLMXCwkKJj483PH7w4EEFUKKjowvc55AhQ5S+ffvmWfbdd98pPj4+eeLIzMxUbGxslM2bNxe4XZcuXZSOHTvmeZ62bdsqU6ZMKXC/iqIo1atXVz788EPD/ZycHKV27dqG583IyFBsbW2VPXv25Nlu+PDhyqBBgxRFUZQ33ngjX6wLFy5U7O3tFZ1OpyQnJyuWlpbKL7/8Ynj8+vXrio2NjTJu3DhFURQlJiZG0Wq1yqVLl/Lsp3v37sq0adMURVGUZs2aKbNnzy7wOLZv364ASkJCgqIoijJo0CClQ4cOhR53eXS/72MhjKGo7yZT165dO2XUqFGG+zqdTqlRo4YSEhJS4Pr9+/dXHn300TzL2rdvr7z88suG+wV93t9NRkaGkpiYaLhduHCh3J5Tk5dyVVE2vaEob7spyixH9fbzYEW5dlYZvnyfUmfKOmXW2mPGjrJc0Ov1StAnO5Q6U9YpX+86b+xwyp3Jvx5R6kxZp4z9KdzYoZQbA5fsVepMWad8sClSUWLDFOXroP/exyG1FWXXJ4qSmWrsMCukknzXS0t6KYqNjeXkyZN4enrmG/Or0WioVasWkZGRxMbGlvq+AwMDSU1NZf/+/ezatYuGDRvi5uZGly5dDOPSQ0NDqVevHrVr1wbg4MGD9OnTh9q1a+Pg4ECXLl0MxwEwcuRIVq5ciZ+fH5MnT2bPnj2G/Q0dOpTDhw/j4+PD2LFj2bJli+GxI0eOkJKSQtWqVbG3tzfcoqKi8hSsq1OnDm5ubob7LVq0oHv37jRr1ox+/fqxdOnSu3a7PnLkCGfPnsXBwcGwHxcXFzIyMoosjte8efM89z08PApt9UlMTOTKlSu0a9fOsEyr1dK6dWvD/bNnz5KWlkbPnj3zHPO3335riCMyMhJ/f/88fxsdOnQgJSWFixcvcu7cObKysmjfvr3hcRcXF3x8fAz3IyIi0Ol0NGzYMM9+duzYYdjP2LFjeeedd+jQoQOzZs3i6NGjhZ6H3JZ0IYS4F1lZWRw8eJAePXoYlpmZmdGjRw/27t1b4DZ79+7Nsz5AUFBQvvVDQ0OpVq0aPj4+jBw5kuvXrxcZS0hICE5OToabp6cU3yp1GUmwPQTmt1CnKdJlglcnePEv6L+CWDzYdlL9Lh3sL922i+NATAIn45KxtjDjqda1jB1OufPcQ+rf2YaIy1xLyTRyNOXDkAD1nP207wIZ7q1h2EYY9DO4+ULGTfhzFnzWEvZ/DTqZrs1YzI0dQEWSnJxMRkYGdnZ2BT5uZ2fHpUuXSE5OLvV9N2jQgFq1arF9+3YSEhIMCXeNGjXw9PRkz549bN++nW7dugHq2OegoCCCgoL44YcfcHNzIzY2lqCgIEM38UceeYSYmBg2bNjA1q1b6d69O6NGjeKjjz6iVatWREVFsXHjRv7880/69+9Pjx49+O2330hJSck3Rj7X7QXc7jxPWq2WrVu3smfPHrZs2cKCBQt48803CQsLo27dugUed0pKCq1bt+aHH37I99jtFwDuZGFhkee+RqO5r+J+KSkpAKxfv56aNWvmeczKqvTmzU1JSUGr1XLw4EG02rwFLHK7tL/44osEBQWxfv16tmzZQkhICPPmzWPMmDH5ns/GxqbUYhNCVD7Xrl1Dp9NRvXr1PMurV6/OyZMnC9wmLi6uwPXj4uIM93v16sWTTz5J3bp1OXfuHG+88QaPPPIIe/fuzffZl2vatGlMmDDBcD8pKUkS9dKSlQYHvoa/P1GnJgLwaAHdZ0L97oYiet+HxaAo0LmhG/XcCh5mJfLKLRjXt0VNnGws7rK2uFOzWk608HTmyIWb/HLgAq8GNjB2SCavh291ajhZ829iBuuPXlYvDvn0UiubH/0Ftr8HibGwfgLs+QwCp0Gzfg+8cFplJy3ppcjBwQFra2tSU1MLfDw1NRVra2scHBzKZP9du3YlNDSU0NDQPFOvde7cmY0bN7Jv3z7DePSTJ09y/fp15s6dS6dOnWjUqFGBLclubm4MGTKE77//nk8//ZQvv/zS8JijoyMDBgxg6dKl/Pzzz6xatYobN27QqlUr4uLiMDc3p0GDBnluuWPaC6PRaOjQoQNvvfUWhw4dwtLSkt9//x1QK5PfOVa6VatWnDlzhmrVquXbV2lNM+bk5ET16tXZv3+/YZlOp8szVrxx48ZYWVkRGxubL47cH4m+vr7s3bs3T3GT3bt34+DgQK1atahfvz4WFhaEhYUZHk9ISOD06dOG+y1btkSn0xEfH59vP+7u/83T6+npySuvvMLq1at5/fXXWbp0aYHH1rx5c7Zt23b/J0kIIUrRwIEDefzxx2nWrBnBwcGsW7eO/fv3F3jxN5eVlRWOjo55buI+5WRC2JfwmR9sma4m6FUbQL/lMCIUGvQwJOjpWTp+3n8BgKEB0opeHBcT0lh/9DLwX4uwKLnnb527FXuiyciWmjp3Y64147lbPV1W7I3+73epmRb8BsGYA/DIB2DnBgnR8PvL8IU/HP8dynC2KpGXJOmlqHbt2jRq1IgLFy7kqzKpKAoXL17E19fX0N28tHXt2pW///6bw4cPG1rSAbp06cKSJUvIysoyJOm1a9fG0tKSBQsWcP78ef744w/mzJmT5/lmzpzJ2rVrOXv2LMePH2fdunX4+voC8PHHH/PTTz9x8uRJTp8+za+//oq7uzvOzs706NEDf39/goOD2bJlC9HR0ezZs4c333wzzzRxdwoLC+O9997jwIEDxMbGsnr1aq5evWrYp5eXF0ePHuXUqVNcu3aN7Oxsnn32WVxdXenbty+7du0iKiqK0NBQxo4dy8WLF0vt3I4ZM4aQkBDWrl3LqVOnGDduHAkJCYau6w4ODkycOJHXXnuNFStWcO7cOcLDw1mwYAErVqwA4NVXX+XChQuMGTOGkydPsnbtWmbNmsWECRMwMzPD3t6e4cOHM2nSJP766y+OHTvG0KFDMbutKm7Dhg159tlnGTx4MKtXryYqKop9+/YREhLC+vXrARg/fjybN28mKiqK8PBwtm/fbjiHd5o2bRr79+/n1Vdf5ejRo5w8eZJFixZx7dq1Ujt3QoiKy9XVFa1Wy5UrV/Isv3LlSp4Lh7dzd3cv0foA9erVw9XVlbNnz95/0OLucrLgwDfwWSvYOAlSroBTbei7EF4NgyZP5KvY/vuhSySmZ1PbxZYuDasZKfDyZcmO8+ToFTo0qEqzWqXTsFAZPd6iBh5O1lxJyuS3g6X3268iG9i2NpbmZhy9mEh47B1DS82toP3LMPYwdJ+lTj957RT8OhSWdIbIdSDV9MucJOmlyMzMjCeeeAJXV1dOnDhBYmIiOTk5JCYmcuLECVxdXQkODs6TdJWmrl27kp6eToMGDfJ0JezSpQvJycmGqdpAbSFfvnw5v/76K40bN2bu3Ll89NFHeZ7P0tKSadOm0bx5czp37oxWq2XlypWAmpR+8MEHtGnThrZt2xIdHc2GDRswMzNDo9GwYcMGOnfuzLBhw2jYsCEDBw4kJiYmXxfH2zk6OrJz50569+5Nw4YNmT59OvPmzeORRx4BYMSIEfj4+NCmTRvc3NzYvXs3tra27Ny5k9q1a/Pkk0/i6+vL8OHDycjIKNVWlClTpjBo0CAGDx6Mv78/9vb2BAUFGaaOA5gzZw4zZswgJCQEX19fevXqxfr16w1d9WvWrMmGDRvYt28fLVq04JVXXmH48OFMnz7d8BwffvghnTp1ok+fPvTo0YOOHTvmGfsOsGzZMgYPHszrr7+Oj48PwcHB7N+/33DxR6fTMWrUKEMMDRs25IsvvijwuBo2bMiWLVs4cuQI7dq1w9/fn7Vr12JuLiNhhBB3Z2lpSevWrfP0yNHr9Wzbtg1/f/8Ct/H398/Xg2fr1q2Frg9w8eJFrl+/bvgOE2UkJwsOLFMrPa97DZIugoMHPDoPxhyEls+BNv/3Q7ZOz6Id6gWUIQFeaM1kDvm7iU/K4OcDas+D0V2lCv79sDQ34+XO9QBYvOMc2Tpp7b0bFztLnvBTh2d+/lchFz+t7KHTBBh/FLpMBUsHuBIBPz8LSzrByfWSrJchjXJnk28Fl5SUhJOTE4mJifmSuIyMDKKiovLM230vIiMj+f333zl58iQZGRlYW1vj6+tLcHBwoS2aonzR6/X4+vrSv3//fD0QhHGV1vtYiAepqO8mU/fzzz8zZMgQlixZQrt27fj000/55ZdfOHnyJNWrV2fw4MHUrFmTkJAQQJ2CrUuXLsydO5dHH32UlStX8t577xEeHk7Tpk1JSUnhrbfe4qmnnsLd3Z1z584xefJkkpOTiYiIKHadj/J8Th+4nEx1Gqa/P1XHogLYV4eOE6D1ELAoun7JL/svMHnVUVztrdg1uSs2ljJ29W7eXX+CpbuiaF2nCr+94p+v4LAomYxsHR3f/4trKVl81K8FT0sRvruKuZ5Kt3k70OkV1ozqgJ+nc9EbpN1QC0aGLYEstRYT7s2g8yRo1Cdf7xqRX0m+l6S5rAz4+vri4+NDbGwsycnJODg4ULt27TJrQRdlLyYmhi1bttClSxcyMzP5/PPPiYqK4plnnjF2aEIIYVQDBgzg6tWrzJw5k7i4OPz8/Ni0aZOh51RsbGye77+AgAB+/PFHpk+fzhtvvIG3tzdr1qyhadOmgFpE9OjRo6xYsYKbN29So0YNHn74YebMmVOqhTgFkJ0OB1fA7vmQ/K+6zL46dHwNWg+9a3IOaiv6gu1nAHilSz1J0IvhRmoWP4SpF0NGd2sgCXopsLbQ8mKneszdeJIvQs/yRMua0qPjLupUteOJljX57eBF5v95mmXD2hW9ga2LWizSf/R/yXpcBPwyWK0M33niraEw8hlQGqQl/TbSAicKc+HCBQYOHMixY8dQFIWmTZsyd+5cOnfubOzQxB3kfSzKI2n1LX1yTouQkahOr/TPF5B6VV3mUAM6jodWg4uVnOf65cAFJv92FFd7S3ZN7iZJejHM23KKBX+dpWlNR/43uqMk6aUkJTOHDnP/IjE9m8+facljzWsYOySTF30tle4fq63pa0d1oMXdWtNvl3ZD/QwJWwKZSeoyl/rq50jzgWBuWRYhl2sl+V6Spl0hisHT05Pdu3eTmJhIUlISe/bskQRdCCFE+ZJyFba9DZ80hW1vqQm6U2147BMYd1gtFlWCBD1bpzeMZ325c31J0IshKSOb5XuiARgVKK3opcneypyhAV4ALNx+Ll8RZ5Gfl6sdwbfGps/fdqZkG9u6QLfpMD4Cur6pFpi7cQ7+GAPzW8DeLyCr4BmvxN1Jki6EEEIIUZFdP6cWgvu0Keyap7Z6ufpA8GIYGw5tXlArOpfQ74cuEXsjjap2ljz7UNnMXFPRfLc3huSMHBpUsyeoSeEzGoh7M6yDF3aWWiIvJ7EtMv/UwiK/0d0aYKaBv07Gc+TCzZI/gY0zdJkMrx2Dh98Be3d1+MzmafBJE/jrHfUCoSgRk0jSFy5ciJeXF9bW1rRv3559+/YVuu7y5cvRaDR5btKlVQghhBDiDhf2w8/Pw4LW6pRqORlQszUM+AFe/UedE1lrcU9PnaPTs3D7rVb0LvWwtZQyR3dzPSWTxTvOATCqa33MZMx0qXO2teR5fy8APth8khyp9H5XdV3tCG6ptqZ/VtLW9NtZOUDAGLUafJ/54FIP0hNg54fqBcL/jYdrMo1mcRk9Sf/555+ZMGECs2bNIjw8nBYtWhAUFER8fOFXvxwdHbl8+bLhFhMT8wAjFkIIIYQwUbocOL4GvuoJX/eAyD8ABbyDYOgGeHEb+D5235WYfzlwkZjraiv6cw/VKZXQK7pP/jxNckYOjT0cebxFTWOHU2G90qUezrYWnL6Swk/7Lxg7nHJhTDdvzDSw7WQ8B2Nu3N+TmVuphSdHH4D+36kXBnMy4OAy+Lw1/DgQonbJ9G13YfQk/eOPP2bEiBEMGzaMxo0bs3jxYmxtbfnmm28K3Uaj0eDu7m64FTX3thBCCCFEhZd+E/Z8Dgtawq9D4OI+0FqC37Nqq/mzv4BXByiFMdA307L4cPNJAF7t2kBa0YvhZFwSP96q6D6zT2OpPF6GnG0tmdCzIQAfbzlFYlq2kSMyfXVd7ejX2hOAmWuPo9OXQgJtpoXGj6sXBodugIa91OWnN8KKx2BJZzj8I2Rn3P++KiCjJulZWVkcPHiQHj16GJaZmZnRo0cP9u7dW+h2KSkp1KlTB09PT/r27cvx48cLXTczM5OkpKQ8NyGEEEKICuHqKVg3AT72hS1vws1YsHGBzpNh/DEI/gKq+ZbqLj/eepqEtGwaVrdnsL+0ot+NoijMWXcCvQKPNHXnoXpVjR1ShfdMu9p4V7MnIS2bz/66jy7clcikXj44WJtz/N8kVu6PLb0n1mjUC4TP/Ky2rrcZDuY2EHcU1oz8b9x60r+lt88KwKhJ+rVr19DpdPlawqtXr05cXFyB2/j4+PDNN9+wdu1avv/+e/R6PQEBAVy8eLHA9UNCQnBycjLcPD09S/04CqIoCjdSs7hwI40bqVlSYVIIIYQQpUOXAyf+gBV9YGE7OPA1ZKdBtcbqWNAJJ6Dbm+BQ+j0Nj/+byPf/qMMMZz/eBAut0Ttlmrw/I+PZffY6lloz3uhduhdMRMHMtWbMeKwxACv2RHPuaoqRIzJ9rvZWvH6rB8KHm0+RkJpVBjvxhsc+Vj+jus8Cx5qQdu3WuPVm8MsQ6Qp/S7n7ZPX392fw4MH4+fnRpUsXVq9ejZubG0uWLClw/WnTppGYmGi4XbhQtmNTEtOz+ebvKAI/DKXVnK10+mA7reZsJfDDUL75O4rEdNPtcrN8+XKcnZ2NHYZR3e0cREdHo9FoOHz48AOLSQghhADUlqbQ92/9mH0eonaCxgwaPQZD1sHIPepY0BJMo1YSiqIwa+1x9Ao82tyDgPquZbKfiiQrR8+7608AMLxTXTxdbI0cUeXRuaEb3RpVI0ev8N76SGOHUy4891AdGrk7cDMtm4+2nCq7Hdm6QKcJMO4o9FsBtQNAnwMn1qhd4b94CMK+VIfxVFJGTdJdXV3RarVcuXIlz/IrV67g7l68aSksLCxo2bIlZ88WXC3QysoKR0fHPLeysuP0VfxDtjFn3Qlib6TleSz2Rhpz1p3AP2QbO06b5jQEAwYM4PTp0yXaJjAwkPHjx5dNQEIIIURlp9fB6S3w0yC1W2joe+r0Rrau0Ol19UfuwB+gbqdSGW9elDWHL3EgJgEbCy1vSotwsSzbHUX09TRc7a0Y1bWBscOpdN581BdzMw3bTsaz/ZRMyXY35lozZj/eBIAf98Vy7FJi2e5Qaw5NguGFjfDKbnU6SAs7uHoSNk6CeY1gzatwYV+la103apJuaWlJ69at2bZtm2GZXq9n27Zt+Pv7F+s5dDodEREReHh4lFWYxbLj9FWGLdtHerYOBbjzzyh3WXq2jmHL9plkom5jY0O1atWMHYYQQgghEqJh+3vwaXP4sR+c2gCKHup0gCe/utVddCY4P5hhfEkZ2by3QS0WN7pbA2o4l01rfUVy5koy87aqjR+Te/lgbyUF9h60+m72DA3wAmDaqggpIlcMD9WryuMtaqAoMGPtMfSlUUSuONybwmOfwOuR8MiH6vCdnHQ4/AN83RMWBcDehZB67cHEY2RG7+4+YcIEli5dyooVK4iMjGTkyJGkpqYybNgwAAYPHsy0adMM67/99tts2bKF8+fPEx4eznPPPUdMTAwvvviisQ6BxPRsRn5/UE3E7/J3rChqsj7y+4Ol2vU9MDCQ0aNHM3r0aJycnHB1dWXGjBl5xsInJCQwePBgqlSpgq2tLY888ghnzvxXTOPOrt6zZ8/Gz8+P7777Di8vL5ycnBg4cCDJyckADB06lB07djB//nzDnPXR0dEkJCTw7LPP4ubmho2NDd7e3ixbtqzQ2Ddt2kTHjh1xdnamatWqPPbYY5w7d67I473bNrnd0levXk3Xrl2xtbWlRYsW+QoSLl++nNq1a2Nra8sTTzzB9evXi3W+T548SUBAANbW1jRt2pQdO3YUazshhBCiUFmpcORndaz5/Baw431Iugg2VcB/NIzaD8M2QPN+6jRHD9Cstce5mpyJV1VbXuxU94HuuzzK1umZ8MsRsnL0dGnoRr/WtYwdUqU14eGG1HW1Iy4pg9n/K7zYtPjPG719sbPUcij2Jl/uOv9gd27tBO1fUofvDN+qzlBhbgPxJ2DzG2rr+s/Pw+nNan2OCsroSfqAAQP46KOPmDlzJn5+fhw+fJhNmzYZisnFxsZy+fJlw/oJCQmMGDECX19fevfuTVJSEnv27KFx48bGOgRWHbxIepau2L0wFAXSs3SsDi+42N29WrFiBebm5uzbt4/58+fz8ccf89VXXxkeHzp0KAcOHOCPP/5g7969KIpC7969yc4u/GLBuXPnWLNmDevWrWPdunXs2LGDuXPnAjB//nz8/f0ZMWKEYc56T09PZsyYwYkTJ9i4cSORkZEsWrQIV9fCx62lpqYyYcIEDhw4wLZt2zAzM+OJJ55Ar9ff9zZvvvkmEydO5PDhwzRs2JBBgwaRk6O+ocPCwhg+fDijR4/m8OHDdO3alXfeeadY53rSpEm8/vrrHDp0CH9/f/r06VPsBF8IIYQw0Osh+m9YMwo+agi/v6SONUcD9brCU1/DhJMQ9C64NTRKiGsPX+L3Q5cw08BH/VpgZa41Shzlyed/nSXiUiJONhZ88HRzNGU8FEEUztbSnHn9W2Cmgd8PXWJDxOW7b1TJuTtZGwrvfbT5FBEXy7jbe0E0GvBsp85Q8fpJeHQe1GgJ+myI/AN+7K/OarH5TYiLePDxlTGNUsnKjiclJeHk5ERiYmK+8ekZGRlERUVRt25drK2ti/V8iqIQ+GEosTfS8nVxL4oGqO1iS+ikwFL54A4MDCQ+Pp7jx48bnm/q1Kn88ccfnDhxgjNnztCwYUN2795NQEAAANevX8fT05MVK1bQr18/li9fzvjx47l58yagtqR/+OGHxMXF4eDgAMDkyZPZuXMn//zzj2G/fn5+fPrpp4ZYHn/8cVxdXYuc674o165dw83NjYiICJo2bXpP20RHR1O3bl2++uorhg8fDsCJEydo0qQJkZGRNGrUiGeeeYbExETWr19veJ6BAweyadMmwzm4U+7zzp07lylTpgCQk5ND3bp1GTNmDJMnT76nYxal517ex0IYW1HfTeLemPw5vXICIn6BiFWQeNt0R851oMUgaPksONc2Xny3XLiRRu/5u0jOzGFcd29e62mcCwXlyZELN3ly0R50eoUFg1rSp0UNY4ckUJPNz7efpYqtBZtf60w1B/mNUBRFURj5fTibjsdRz9WOdWM7YmtpAkM24iLg0PcQ8Suk3dZAVq2J2suo6dMPbBhQSZXke8noLenlXUJaNjElTNBB7fIecyONm6U4Nuahhx7Kk/D7+/tz5swZdDodkZGRmJub0759e8PjVatWxcfHh8jIwiteenl5GRJ0AA8PD+Ljiy68MXLkSFauXImfnx+TJ09mz549Ra5/5swZBg0aRL169XB0dMTLywtQe1Hc7zbNmzfPEztgiD8yMjLP+QCKXQvh9vXMzc1p06ZNkedRCCGE4EYU7PoYvgiARf7w9ydqgm7pAC2fh2EbYexh6DrNJBL0HJ2e134+THJmDq1qOzOmmxQ+u5uMbB2v/XIYnV6hT4sakqCbkLHdvWns4UhCWjbTVkXI9Mh3odFomPtUM9wdrTl/LZU5604YOySVezN45H14/RQM/Al8HwetJcQfhz9nw6dN4ZtHYP9XkGJ6NcCKS5L0+5SaeX9jIVLuc/uyZmFhkee+RqMpshs6wCOPPEJMTAyvvfYa//77L927d2fixImFrt+nTx9u3LjB0qVLCQsLIywsDICsrMLnZyzuNrfHn3sB427xCyGEEKXmZizs/gy+DITP/GDbW+qPSTML8HkU+i2HSWeg7+dQJwDMTOen2cLt5zgQk4C9lTnzB7bEXOZEL5KiKMxYc4zzV1Op5mDFnL5NjB2SuI2luRmfDPDDUmvGtpPxfP13lLFDMnnOtpZ83L8FGg38tO8Cm47FGTuk/2gtoFFvGPAdTDwNfeZDnY7qY7F7YP3rMK8hfNsXDq6A1PI1LFU+be+T3X1W6izNSp+5iWquf/75B29vb7RaLb6+vuTk5ORZ5/r165w6deq+xvNbWlqi0+nyLXdzc2PIkCF8//33fPrpp3z55ZcFbp8bw/Tp0+nevTu+vr4kJCQUuc972aYgvr6+BZ6z4rh9vZycHA4ePIivr0xHI4QQArh+Tm0x/zJQndN86wz495A6p3ndLuqPyYmnYdCP0OSJMpvX/H6Enorns7/U4rJzgpvI/N7FsHTXeX49eBEzDczr3wJnW0tjhyTu4OPuwLTejQB4b0Mkf528cpctREADV17qXA+Ayb8d4Wx8spEjKoBNFWg9FIath9eOQ8856vh1RQ/nQ+F/Y+Ejb7Uo576lkGxCFxsKYQIDC8q3KrYW1HGxvecx6c62Fnddt7hiY2OZMGECL7/8MuHh4SxYsIB58+YB4O3tTd++fRkxYgRLlizBwcGBqVOnUrNmTfr27XvP+/Ty8iIsLIzo6Gjs7e1xcXFh9uzZtG7dmiZNmpCZmcm6desKTWCrVKlC1apV+fLLL/Hw8CA2NpapU6cWuc972aYgY8eOpUOHDnz00Uf07duXzZs3s2nTpmJtu3DhQry9vfH19eWTTz4hISGBF154ocQxCCGEqAD0ejUJP7UeTq5X5/jNpTGD2gHqXMCN+4K96U91evzfREb9EI5Or/B061o80VIqk9/NnyeuELJRfd1nPNaYTt5uRo5IFGZogBen4pJZuf8CY386zKqRAfi4O9x9w0rs9Z4+7I+6QXjsTYYu28/vr3bAzeHBzjBRbE61oMNY9XbjPBz/HY6vgbijalHOqJ2wYRLUagONHlV7NBmpKGdRpCX9Pmk0Gobcmn+xpIZ28CrVap+DBw8mPT2ddu3aMWrUKMaNG8dLL71keHzZsmW0bt2axx57DH9/fxRFYcOGDfm6tJfExIkT0Wq1NG7cGDc3N2JjY7G0tGTatGk0b96czp07o9VqWblyZYHbm5mZsXLlSg4ePEjTpk157bXX+PDDD4vc571sU5CHHnqIpUuXMn/+fFq0aMGWLVuYPn16sbadO3cuc+fOpUWLFvz999/88ccfRVawF0IIUcFkpaoJ+R9j4ZPG8FU32DVPTdDNzKF+N3jsU3j9tNq6025EuUjQ/72ZzgvL95OapSOgflXee6KZsUMyeZGXkxi38hCKAs+2r22Yl1uYJo1Gw9t9m/JQPRdSMnMYvmI/11MyjR2WSbM0N2Pp4DbUqWrLxYR0hq/YT1qWaQ/ZBcClHnR6HV7Zpdb76DkHarUFFLi4Xx3DvrAtLGitVomP2gm60qsXdj+kuvtt7rUqdGJ6Nv4h20jPLt40bGYasLbQsndad5xsSqclvaAq60JURlLdXZRHJl+JvBwq9XOqKHD9LJz9E85sVadN0932w97SHrx7qq0y3j3Bxvn+9/mAJWVk02/RXk5dSaZhdXt+fSWg1H6nVFTxSRk88cUeLt1MJ6B+VVa80A4LGbtfLiSkZhH8xW5irqfRpk4Vvn+xPdYWMr1gUaKupfLkF7tJSMumh281ljzfBq1ZOZxeMOkynNqg3s7vUKd1y2XlCPW7QoOe0KA7OJZe8ceSfC9Jd/dS4GRjwaLnWjNs2T7QUGSinttwvvi51vLFJ4QQQpi6uAg48I2anN+8Y9YR5zrQsBc0fBi8OoG5iXb/LIb0LB0jvz/IqSvJVHOwYtmwdvI75S7iEjN4Zuk/XLqZTl1XO754tpUk6OVIFTtLvh7Slie+2M2BmAReWL6fr4a0MY1pxkxUXVc7vhrShkFLw/gzMp4Za4/xTt+mmJW3RN3RA9oOV28ZSXDuLzizBU5vhrRrcGKtegN1arcG3aD9SHCq+cBClE+SUtKloRvLhrXDxkKLBnXM+e1yl9lYaFk+rB2dG8pYJSGEEMLkJV5Sk/Sbseo0P/UC1S6To/bBuCPQ+wNo0KNcJ+iJ6dkM/iaM3WevY2up5ZuhbanpbHrF7EzJxYQ0+i/Zy/lrqdR0tmH5sLZSKK4calDNnq+HtMXOUsuec9cZ+s1+k595ydha13Hh0wF+aDTwY1gsE387Qo6uHM+cZO2o1gwJ/gImnoEX/4LAabe6xWvU2Tj2LAD9g/27kO7utymNbrKJ6dmsDr/I8t3RxNxIMyyv42LL0A5ePNW6Fo7WcmVaiLIi3d1FeSTd3UtfqZ3TzBR12rQGPcCrI1jalV6QJuBqciZDvtnHictJOFib883QtrT1cjF2WCYt5noqzywN49LNdGq72PLjiPbUqiLV78uz8NgEhnyzj+SMHFrWdma59CS5q98PXWTir0fR6RV6+Fbn82daVrzhAmk34Px2uHwEer59309Xku8lSdJvU5o/7hVF4WZaNimZOdhbmeNsa1GqReKEEAWTJF2UR5Kklz45p3d3MSGN57/eR9S1VFztLfn2hfY0riHnqijHLiXy4ooDxCVlUM/Vjh9HPIS7k3zXVAQRFxN57uswEtOzaVrTkS+fb0MN6VFSpD9PXOHVH8PJytHjX68qXw5ujYM0RhaqJN9L0t29jGg0GqrYWeLpYksVO0tJ0IUQQghhMnafvUbwwj1E3equ/esrAZKg38Uv+y/w5KI9xCVl4F3NnpUvS4JekTSr5cRPIx6iqp0lxy4l8diCv9l99pqxwzJpPRpXZ8WwdthbmbP3/HWeWrSHM1dMcB71ckiSdCGEEEKISkKnV/h4yyme+zqMaymZNHJ34LeR/tR1rVjd+EtTRraOaauPMnnVUbJy9HRvVI3fXgmgmoMk6BVN4xqOrBnVgSY1HLmRmsXzX4exKPQclazjcYn416/KTyMews3BitNXUujz+d/8euCCscMq9yRJF0IIIYSoBHKrkX/211kUBQa29eT3Vzvg4SRdegtz4t8knl68h5/2XUCjgYkPN2Tp4DY42UqX3orK08WWVSMDeLp1LfQKvL/pJC+uOMC/N9ONHZrJalbLiQ1jO9GxgSsZ2Xom/XaUCb8cJlWK8N0zSdKFEEIIISqwrBw9S3eep8fHOwiLuoGdpZb5A/2Y+1RzbCwrWKGnUpKamcM7607Q5/O/OXYpiSq2FqwY1o7R3bzL33RTosSsLbR8+HRz3nuiGZZaM7adjKfnxzv4atf58l3JvAy5OVjx7QvtmPhwQ8w0sDr8Et3n7WDt4UvSE+EeyESAZUVR1IqAWSlgaQ+2Lv9Nki6EEEII8QDsOnOV2X8c59zVVABaeDrzSf8W1HOzN3JkpkmvV9h0PI45605wOTEDgEebeTDjscYy/ryS0Wg0PNO+Nq3qOPPm78c4GJPAO+sjWRV+ibf7NpFZEApgZqZhdDdv2nq5MPG3I1y4kc64lYf5ISyWtx5vgq+H1L0oLmlJL23pN+GfRfBZS/iwHsxvrv77WUt1efpNY0dYqOXLl+Ps7GzsMIzmXo4/OjoajUbD4cOHyyQmIYQQoqQUReHvM9d4/uswnv96H+euqtXbP3i6Ob+PDJAEvQA6vcL/jvxL78928eoP4VxOzMDTxYZlQ9uy8NlWkqBXYo3cHfn1ZX/mPtkMJxsLIi8n0W/xXp5Z+g97zl2TVuICtK9Xla2vdeH1ng2xtjBjX9QNHv1sF+NWHuL4v4nGDq9ckJb00nT2T/h5MGSn5X8sIRo2TYNtc2DAt+p8qyZmwIAB9O7du0TbBAYG4ufnx6efflo2QQkhhBCiWLJ1ejYdi2PJznMcu5QEgNZMwxB/L8b18JZ5nwuQnJHNuqOXWbrrPOdv9TawtzLnhQ5ejAxsIMMBBKC2EA9sV5sejaszb8spfjt4kT3nrrPn3HVa16nCix3r0t23Opbm0v6Zy9pCy5ju3jzZuhbvrY9kfcRl1h7+l7WH/6WTtysvd65PQP2qMnykEJKkl5azf8IP/dVu7hR0Re3Wsux0db1nfzG5RN3GxgYbGykeI4QQQpQXiqIQHpvAmkP/su7ovySkZQNgbWHGwLa1Gd6xLp4utkaO0rTo9Qr/nL/OrwcvsvHYZTKy1THGTjYWvNChLkMDvKQwnCiQq70VIU82Z3Q3b77ccY6f9l/gYEwCB2MSqGJrQV+/mjzduhZNajjK9Mu31HS2YeGzrRh5KZElO8+z/ui/7DpzjV1nrlHT2YbgljUI9quJd3UHY4dqUuRyT2lIv6m2oCsKcLdiEnp1vZ8Hl2rX98DAQEaPHs3o0aNxcnLC1dWVGTNm5OmCk5CQwODBg6lSpQq2trY88sgjnDlzxvD4nd29Z8+ejZ+fH9999x1eXl44OTkxcOBAkpPV+Q+HDh3Kjh07mD9/PhqNBo1GQ3R0NAkJCTz77LO4ublhY2ODt7c3y5YtK/yM6PV88MEHNGjQACsrK2rXrs27775b6PqbNm2iY8eOODs7U7VqVR577DHOnTtneDy3C/rq1avp2rUrtra2tGjRgr179+Z5nuXLl1O7dm1sbW154oknuH79+l3P8759+2jZsiXW1ta0adOGQ4cO3XUbIYQQojSlZObw54krzFp7jM4fbuepRXv57p8YEtKycbW34rUeDdkztTuzH28iCfotiWnZ/O/Iv0z45TBt3/2TZ74K4/dDl8jI1lPfzY43ejdi99Ruao8DSdDFXdR0tuGtvk35e3JXXg2sT3VHKxLSslm+J5rHFvxN5w+3M3PtMbafjCc9S2fscE1C05pOLBjUkh2TujLEvw72VuZcupnOwu3n6PnJTh6Zv4v3N51kz7lrZObIOZOW9NJw5KdbXdyLOyZFr65/ZCU89EqphbFixQqGDx/Ovn37OHDgAC+99BK1a9dmxIgRgJpUnzlzhj/++ANHR0emTJlC7969OXHiBBYWBX8hnTt3jjVr1rBu3ToSEhLo378/c+fO5d1332X+/PmcPn2apk2b8vbbbwPg5ubGuHHjOHHiBBs3bsTV1ZWzZ8+Snl74tBXTpk1j6dKlfPLJJ3Ts2JHLly9z8uTJQtdPTU1lwoQJNG/enJSUFGbOnMkTTzzB4cOHMTP777rTm2++yUcffYS3tzdvvvkmgwYN4uzZs5ibmxMWFsbw4cMJCQkhODiYTZs2MWvWrCLPb0pKCo899hg9e/bk+++/JyoqinHjxhW5jRBCCHE/FEUh9kYaRy4mEnHxJocv3ORQ7E1y9P/95rC11NKriTvBLWsSUL8q5trK3Qaj0ytEX0/lcOxNDl1I4FDsTSIvJ3HbKcPB2pw+LWrQr3Ut/DydpdVT3JNqjtZM7tWICT0b8vfZa/x28CJbTlzhwo10vt0bw7d7Y7A0N6N5TSda1namZe0qtPB0poaTdaX9m/N0seWtvk2Z1tuXPyOvsObQJUJPXSXychKRl5NYFHoOGwstbbyq4OfpTPNazjSv5UR1x8pVF0KS9PulKBC25N62DVsM7V8utarvnp6efPLJJ2g0Gnx8fIiIiOCTTz5hxIgRhuR89+7dBAQEAPDDDz/g6enJmjVr6NevX4HPqdfrWb58OQ4OaheU559/nm3btvHuu+/i5OSEpaUltra2uLu7G7aJjY2lZcuWtGnTBgAvL69CY05OTmb+/Pl8/vnnDBkyBID69evTsWPHQrd56qmn8tz/5ptvcHNz48SJEzRt2tSwfOLEiTz66KMAvPXWWzRp0oSzZ8/SqFEj5s+fT69evZg8eTIADRs2ZM+ePWzatKnQ/f7444/o9Xq+/vprrK2tadKkCRcvXmTkyJGFbiOEEJXBwoUL+fDDD4mLi6NFixYsWLCAdu3aFbr+r7/+yowZM4iOjsbb25v3338/T00URVGYNWsWS5cu5ebNm3To0IFFixbh7e39IA7ngdPrFa6lZHLpZjqXEzOIvp7KufhUzl1N4dzVFJIz8s81XKeqLZ28XenYwI3ODV2xtaxcP+l0eoUrSRlcupnOpYR0LtxI4+zVFM5cUc9ZZk7+no3e1ezp2qgagT5utKnjIuOHRakx15oR6FONQJ9qpGbmsOfcdbafiif0ZDz/JmZwICaBAzEJQBQADlbmNKhuj3c1e+q52VOrig21qthS09kGV3vLSpHAW1toeax5DR5rXoMbqVnsOB3PrtPX2HnmGtdSMg1d4nO52ltSz82e+m721Hezo7aLLTWcbajhbEMVW4sKd84q1yd6WUi7AQlR97Chom6XnqBOz1YKHnrooTx/oP7+/sybNw+dTkdkZCTm5ua0b9/e8HjVqlXx8fEhMjKy0Of08vIyJOgAHh4exMfHFxnHyJEjeeqppwgPD+fhhx8mODjYcGHgTpGRkWRmZtK9e/fiHiZnzpxh5syZhIWFce3aNfR69Ys4NjY2T5LevHnzPHEDxMfH06hRIyIjI3niiSfyPK+/v3+RSXpkZCTNmzfH2to6zzZCCFGZ/fzzz0yYMIHFixfTvn17Pv30U4KCgjh16hTVqlXLt/6ePXsYNGgQISEhPPbYY/z4448EBwcTHh5u+Az/4IMP+Oyzz1ixYgV169ZlxowZBAUFceLEiTyfwcaiKAo5eoUcnUK2Xk92jp4snZ7MbD2ZOXoyc3SkZelIy8pR/83UkZSRTVJGDskZ2SSmZXMtNYsbqZncSMniakom2brCe+NZas3w9XCgeS1nmtVyon1dF+pUtXuAR3z/FEVBp1fI1ilk6fRk6/Rk5ajnKyNbR2aOnvRb5yw1S0d6Vg7JGTkkpmeTlJ5NYno211OzuJaSxbWUTG6kZqHTF37OrMzNaHar9dLPswqt6jjj4SR1d0TZs7Myp2fj6vRsXB1FUYi6lsqh23p1nIxLJjkzR10WezPf9pZaM6raW+Jqb0VVe0tc7CxxtLbAyUa92VubY2upxc7SHBtLLTYWWqwttFiZm2FtocVCq8HC3AxLrRkWWjPMNJh8AutiZ8kTLWvxRMtaKIrCybhkDkTf4OjFRI5eTORMfPKt9/4N9kXdyLe9tYXZrfNlRVU79Zw52VjgaG2Bg7U5Dtbm2Fmp58vWQoutpTlWFmZYmZthZa7F0txMPW9aM8zNNGjNNEY/Z5Kk36+slPvbPjO51JL0snBnN3iNRmNIigvzyCOPEBMTw4YNG9i6dSvdu3dn1KhRfPTRR/nWvZdCdX369KFOnTosXbqUGjVqoNfradq0KVlZWYXGnvtGu1vsQgghSubjjz9mxIgRDBs2DIDFixezfv16vvnmG6ZOnZpv/dyeTJMmTQJgzpw5bN26lc8//5zFixejKAqffvop06dPp2/fvgB8++23VK9enTVr1jBw4MAC48jMzCQzM9NwPykpqVSO7+u/z/Pu+kh1QJtS/IFt98LcTIO5VoOl1gxL89tuWjMyc/Tsj77B/ugbfPN34Y0Dd5sNSrnjCHLXV8BQx0b5b+U8jym31ldQ1H8VdbleAf1t/+r0inpfr17M0N36t7SZm2nwcLamprMNNZ1tqV/NDu9qDnhXs8fTxRatVI0WRqbRaKjnpraWP9W6FgBZOXqir6dy5koKZ+KTibqWyqWEdC7dTCcuKYMsnZ7LiRlcTswotThyP1u0Gg1mt5LQ3P+baUCDxpDMazRqJ18Nt/5/6zg0oN757x/D7+v/7t9x/BT9HixOHqzRQAM3e/VCaI56cS8rR73Ql33r8yUjW8/FhHQuJhQ+vPZeaG6L8X+jO9KkplOpPn9RJEm/X5b3OdeoVelVMgwLC8tz/59//sHb2xutVouvry85OTmEhYUZWrWvX7/OqVOnaNy48T3v09LSEp0uf3EHNzc3hgwZwpAhQ+jUqROTJk0qMEn39vbGxsaGbdu28eKLL951f7kxL126lE6dOgHw999/lzhuX1/fAs/X3bb57rvvyMjIMLTk3G0bIYSoyLKysjh48CDTpk0zLDMzM6NHjx75inXm2rt3LxMmTMizLCgoiDVr1gAQFRVFXFwcPXr8NwOKk5MT7du3Z+/evYUm6SEhIbz11lv3eUT5pWfpKIP8skA5t5LZ3GrjFZ2FVoO1uRarW62ANpZa7CzVVi5bSy0O1uY43mo9dLA2x8XOCtdbLYxuDla42ltJIi7KHUtzMxpWd6BhdQfAI89jWTl6rqZkci05k2sp6i0h7b/eJInp2aRl6UjNVHvppGblkJn9X2+UjGxdgRfEcsroQllFl3thMvf/D5Ik6ffL1gWq1FXnQS/Ry6eBKl5gU6XUQomNjWXChAm8/PLLhIeHs2DBAubNmweoyXDfvn0ZMWIES5YswcHBgalTp1KzZk1DS8W98PLyIiwsjOjoaOzt7XFxcWH27Nm0bt2aJk2akJmZybp16/D19S1we2tra6ZMmcLkyZOxtLSkQ4cOXL16lePHjzN8+PB861epUoWqVavy5Zdf4uHhQWxsbIEtNXczduxYOnTowEcffUTfvn3ZvHlzkV3dAZ555hnefPNNRowYwbRp04iOji7wwoMQQlQW165dQ6fTUb169TzLq1evXmgB0Li4uALXj4uLMzyeu6ywdQoybdq0PMl/UlISnp6exT+YQjzZqibVHa3RajRozECrMcPM7FbLlJkZWjPQmplhdp9dI8uyZ2W+py6itUtTQEvZf61pt9bWgNmtljUzzW33Neq87GYatVVOa6bB/Lbuo+ZmGizNzTA3U7uWGrs7qRCmxtLc7FbPkHsfmqHXq8NwcnQKWTn623qz6NHp/+vpotOrtR1u7xmjU5Q8vWbIfezW86pLVHf22rmzl85d7paqu/Ugupu8vX7Uc6ZXFBS9ek50egWvqg92pgxJ0u+XRqMWf9s07e7r3qn9K6X6rTx48GDS09Np164dWq2WcePG8dJLLxkeX7ZsGePGjeOxxx4jKyuLzp07s2HDhkIruxfHxIkTGTJkCI0bNyY9PZ2oqCgsLS0NSayNjQ2dOnVi5cqVhT7HjBkzMDc3Z+bMmfz77794eHjwyisFV703MzNj5cqVjB07lqZNm+Lj48Nnn31GYGBgieJ+6KGHWLp0KbNmzWLmzJn06NGD6dOnM2fOnEK3sbe353//+x+vvPIKLVu2pHHjxrz//vv5CtkJIYR48KysrLCysir1563hbEu/NjKNmRCifDAz02BlpsXKHOxK/yNRPCAaRbnfaw/lS1JSEk5OTiQmJuLo6JjnsYyMDKKioqhbt27JCtOk34SPG0N2OnefJx3QmIG5DUw4ATbOJQm/UIGBgfj5+fHpp5+WyvMJUV7d8/tYCCMq6rvJlGVlZWFra8tvv/1GcHCwYfmQIUO4efMma9euzbdN7dq1mTBhAuPHjzcsmzVrFmvWrOHIkSOcP3+e+vXrc+jQIfz8/AzrdOnSBT8/P+bPn1+s2MrrORVCCFExleR7SeaeKA02zjDg21ut4nc7pWaABgZ8V2oJuhBCCGEMlpaWtG7dmm3bthmW6fV6tm3bVujsF/7+/nnWB9i6dath/bp16+Lu7p5nnaSkJMLCwmRGDSGEEJWCJOmlpUEPePYXsLDh1sitO1a4tczCBp79FRoUf8oxIYQQwlRNmDCBpUuXsmLFCiIjIxk5ciSpqamGau+DBw/OU1hu3LhxbNq0iXnz5nHy5Elmz57NgQMHGD16NKCOgR4/fjzvvPMOf/zxBxEREQwePJgaNWrkaa0XQgghKioZk16aGvRQu7AfWQlhi/POn17FSx2D7jcIrEu/fH9oaGipP6cQQghxNwMGDODq1avMnDmTuLg4/Pz82LRpk6HwW2xsLGZm/7UJBAQE8OOPPzJ9+nTeeOMNvL29WbNmjWGOdIDJkyeTmprKSy+9xM2bN+nYsSObNm2SISxCCCEqBRmTfptSHcuqKJCeoM6DbuWgVnGXKqZClDkZky7KIxk/XfrknAohhDAlJflekpb0ApTKdQuNRp2ezdbl/p9LCFFsley6oxBCCCGEqGBkTPptcqciS0tLM3IkQoh7lfv+vZ+pBYUQQgghhDAWaUm/jVarxdnZmfj4eABsbW3RSBd1IcoFRVFIS0sjPj4eZ2dntFqtsUMSQgghhBCixCRJv4O7uzuAIVEXQpQvzs7OhvexEEIIIYQQ5Y0k6XfQaDR4eHhQrVo1srOzjR2OEKIELCwspAVdCCGEEEKUa5KkF0Kr1cqPfSGEEEIIIYQQD5RJFI5buHAhXl5eWFtb0759e/bt21fk+r/++iuNGjXC2tqaZs2asWHDhgcUqRBCCCGEEEIIUXaMnqT//PPPTJgwgVmzZhEeHk6LFi0ICgoqdEz4nj17GDRoEMOHD+fQoUMEBwcTHBzMsWPHHnDkQgghhBBCCCFE6dIoRp5UuH379rRt25bPP/8cAL1ej6enJ2PGjGHq1Kn51h8wYACpqamsW7fOsOyhhx7Cz8+PxYsX33V/JZlEXgghhHgQ5Lup9Mk5FUIIYUpK8r1k1DHpWVlZHDx4kGnTphmWmZmZ0aNHD/bu3VvgNnv37mXChAl5lgUFBbFmzZoC18/MzCQzM9NwPzExEVBPkhBCCGEKcr+TjHzdvELJPZfyfS+EEMIUlOS73qhJ+rVr19DpdFSvXj3P8urVq3Py5MkCt4mLiytw/bi4uALXDwkJ4a233sq33NPT8x6jFkIIIcrG9evXcXJyMnYYFUJycjIg3/dCCCFMS3Jy8l2/6yt8dfdp06blaXm/efMmderUITY2tsL8EEpKSsLT05MLFy5UmC59ckzlQ0U7pop2PCDHVF4kJiZSu3ZtXFxcjB1KhVGjRg0uXLiAg4MDGo3G2OGUiYr4Xihrcs5KTs5Zyck5K7nKcM4URSE5OZkaNWrcdV2jJumurq5otVquXLmSZ/mVK1dwd3cvcBt3d/cSrW9lZYWVlVW+5U5OThXuD8DR0VGOqRyQYzJ9Fe14QI6pvDAzM3o91wrDzMyMWrVqGTuMB6IivhfKmpyzkpNzVnJyzkquop+z4jYSG/XXgKWlJa1bt2bbtm2GZXq9nm3btuHv71/gNv7+/nnWB9i6dWuh6wshhBBCCCGEEOWF0bu7T5gwgSFDhtCmTRvatWvHp59+SmpqKsOGDQNg8ODB1KxZk5CQEADGjRtHly5dmDdvHo8++igrV67kwIEDfPnll8Y8DCGEEEIIIYQQ4r4ZPUkfMGAAV69eZebMmcTFxeHn58emTZsMxeFiY2PzdP8LCAjgxx9/ZPr06bzxxht4e3uzZs0amjZtWqz9WVlZMWvWrAK7wJdXckzlgxyT6atoxwNyTOVFRTwmUfbk76bk5JyVnJyzkpNzVnJyzvIy+jzpQgghhBBCCCGEUEmFGiGEEEIIIYQQwkRIki6EEEIIIYQQQpgISdKFEEIIIYQQQggTIUm6EEIIIYQQQghhIipkkr5w4UK8vLywtramffv27Nu3r8j1f/31Vxo1aoS1tTXNmjVjw4YNDyjS4ivJMS1fvhyNRpPnZm1t/QCjvbudO3fSp08fatSogUajYc2aNXfdJjQ0lFatWmFlZUWDBg1Yvnx5mcdZXCU9ntDQ0HyvkUajIS4u7sEEXAwhISG0bdsWBwcHqlWrRnBwMKdOnbrrdqb8frqXYzLl99OiRYto3rw5jo6OODo64u/vz8aNG4vcxpRfHyj5MZny61OYuXPnotFoGD9+fJHrmfprJUxHdHQ0w4cPp27dutjY2FC/fn1mzZpFVlaWsUMzOSX9jViZ3evvAKEq7md9ZXfp0iWee+45qlatio2NDc2aNePAgQPGDsvoKlyS/vPPPzNhwgRmzZpFeHg4LVq0ICgoiPj4+ALX37NnD4MGDWL48OEcOnSI4OBggoODOXbs2AOOvHAlPSYAR0dHLl++bLjFxMQ8wIjvLjU1lRYtWrBw4cJirR8VFcWjjz5K165dOXz4MOPHj+fFF19k8+bNZRxp8ZT0eHKdOnUqz+tUrVq1Moqw5Hbs2MGoUaP4559/2Lp1K9nZ2Tz88MOkpqYWuo2pv5/u5ZjAdN9PtWrVYu7cuRw8eJADBw7QrVs3+vbty/Hjxwtc39RfHyj5MYHpvj4F2b9/P0uWLKF58+ZFrlceXithOk6ePIler2fJkiUcP36cTz75hMWLF/PGG28YOzSTci+/pyqze/3OFMX/rK/sEhIS6NChAxYWFmzcuJETJ04wb948qlSpYuzQjE+pYNq1a6eMGjXKcF+n0yk1atRQQkJCCly/f//+yqOPPppnWfv27ZWXX365TOMsiZIe07JlyxQnJ6cHFN39A5Tff/+9yHUmT56sNGnSJM+yAQMGKEFBQWUY2b0pzvFs375dAZSEhIQHElNpiI+PVwBlx44dha5THt5PtyvOMZW391OVKlWUr776qsDHytvrk6uoYypPr09ycrLi7e2tbN26VenSpYsybty4Qtctr6+VMB0ffPCBUrduXWOHYVJK+ntK5FWc70xRss/6ym7KlClKx44djR2GSapQLelZWVkcPHiQHj16GJaZmZnRo0cP9u7dW+A2e/fuzbM+QFBQUKHrP2j3ckwAKSkp1KlTB09Pz7u2QpUHpv463Ss/Pz88PDzo2bMnu3fvNnY4RUpMTATAxcWl0HXK2+tUnGOC8vF+0ul0rFy5ktTUVPz9/Qtcp7y9PsU5Jigfrw/AqFGjePTRR/O9BgUpb6+VMD2JiYl3/WyrTO7195T4T3G/Myu7knzWV3Z//PEHbdq0oV+/flSrVo2WLVuydOlSY4dlEipUkn7t2jV0Oh3Vq1fPs7x69eqFjvWNi4sr0foP2r0ck4+PD9988w1r167l+++/R6/XExAQwMWLFx9EyGWisNcpKSmJ9PR0I0V17zw8PFi8eDGrVq1i1apVeHp6EhgYSHh4uLFDK5Ber2f8+PF06NCBpk2bFrqeqb+fblfcYzL191NERAT29vZYWVnxyiuv8Pvvv9O4ceMC1y0vr09JjsnUX59cK1euJDw8nJCQkGKtX15eK2Gazp49y4IFC3j55ZeNHYrJuJffU+I/xf3OrOxK+llf2Z0/f55Fixbh7e3N5s2bGTlyJGPHjmXFihXGDs3ozI0dgCh9/v7+eVqdAgIC8PX1ZcmSJcyZM8eIkYlcPj4++Pj4GO4HBARw7tw5PvnkE7777jsjRlawUaNGcezYMf7++29jh1JqintMpv5+8vHx4fDhwyQmJvLbb78xZMgQduzYUWhSWx6U5JhM/fUBuHDhAuPGjWPr1q0mX9ROmJapU6fy/vvvF7lOZGQkjRo1Mty/dOkSvXr1ol+/fowYMaKsQxSVREX8HVDa5LO+5PR6PW3atOG9994DoGXLlhw7dozFixczZMgQI0dnXBUqSXd1dUWr1XLlypU8y69cuYK7u3uB27i7u5do/QftXo7pThYWFrRs2ZKzZ8+WRYgPRGGvk6OjIzY2NkaKqnS1a9fOJL/8Ro8ezbp169i5cye1atUqcl1Tfz/lKskx3cnU3k+WlpY0aNAAgNatW7N//37mz5/PkiVL8q1bXl6fkhzTnUzt9QE4ePAg8fHxtGrVyrBMp9Oxc+dOPv/8czIzM9FqtXm2KS+vlShbr7/+OkOHDi1ynXr16hn+/++//9K1a1cCAgL48ssvyzi68qU0fk9VVvfznVmZ3MtnfWXn4eGR7wK8r68vq1atMlJEpqNCdXe3tLSkdevWbNu2zbBMr9ezbdu2Qscz+vv751kfYOvWrUWOf3yQ7uWY7qTT6YiIiMDDw6Oswixzpv46lYbDhw+b1GukKAqjR4/m999/56+//qJu3bp33cbUX6d7OaY7mfr7Sa/Xk5mZWeBjpv76FKaoY7qTKb4+3bt3JyIigsOHDxtubdq04dlnn+Xw4cMF/mgrr6+VKF1ubm40atSoyJulpSWgtqAHBgbSunVrli1bhplZhfqJd99K4/dUZVMa35mVyb181ld2HTp0yDet3+nTp6lTp46RIjIhRi5cV+pWrlypWFlZKcuXL1dOnDihvPTSS4qzs7MSFxenKIqiPP/888rUqVMN6+/evVsxNzdXPvroIyUyMlKZNWuWYmFhoURERBjrEPIp6TG99dZbyubNm5Vz584pBw8eVAYOHKhYW1srx48fN9Yh5JOcnKwcOnRIOXTokAIoH3/8sXLo0CElJiZGURRFmTp1qvL8888b1j9//rxia2urTJo0SYmMjFQWLlyoaLVaZdOmTcY6hDxKejyffPKJsmbNGuXMmTNKRESEMm7cOMXMzEz5888/jXUI+YwcOVJxcnJSQkNDlcuXLxtuaWlphnXK2/vpXo7JlN9PU6dOVXbs2KFERUUpR48eVaZOnapoNBply5YtiqKUv9dHUUp+TKb8+hTlzoq/5fG1Eqbj4sWLSoMGDZTu3bsrFy9ezPP5Jv5zt99TIq/ifGeKokl196Lt27dPMTc3V959913lzJkzyg8//KDY2toq33//vbFDM7oKl6QriqIsWLBAqV27tmJpaam0a9dO+eeffwyPdenSRRkyZEie9X/55RelYcOGiqWlpdKkSRNl/fr1DzjiuyvJMY0fP96wbvXq1ZXevXsr4eHhRoi6cLlTkN15yz2OIUOGKF26dMm3jZ+fn2JpaanUq1dPWbZs2QOPuzAlPZ73339fqV+/vmJtba24uLgogYGByl9//WWc4AtR0PEAec57eXs/3csxmfL76YUXXlDq1KmjWFpaKm5ubkr37t0NyayilL/XR1FKfkym/PoU5c4fbuXxtRKmY9myZYV+vom8ivo9JfIqznemKJok6Xf3v//9T2natKliZWWlNGrUSPnyyy+NHZJJ0CiKopRtW70QQgghhBBCCCGKQwYsCSGEEEIIIYQQJkKSdCGEEEIIIYQQwkRIki6EEEIIIYQQQpgISdKFEEIIIYQQQggTIUm6EEIIIYQQQghhIiRJF0IIIYQQQgghTIQk6UIIIYQQQgghhImQJF0IIYQQQgghhDARkqQLIYQQQgghhBAmQpJ0IUSx6XQ6AgICePLJJ/MsT0xMxNPTkzfffNNIkQkhhBBCCFExaBRFUYwdhBCi/Dh9+jR+fn4sXbqUZ599FoDBgwdz5MgR9u/fj6WlpZEjFEIIIYQQovySJF0IUWKfffYZs2fP5vjx4+zbt49+/fqxf/9+WrRoYezQhBBCCCGEKNckSRdClJiiKHTr1g2tVktERARjxoxh+vTpxg5LCCGEEEKIck+SdCHEPTl58iS+vr40a9aM8PBwzM3NjR2SEEIIIYQQ5Z4UjhNC3JNvvvkGW1tboqKiuHjxorHDEUIIIYQQokKQlnQhRInt2bOHLl26sGXLFt555x0A/vzzTzQajZEjE0IIIYQQonyTlnQhRImkpaUxdOhQRo4cSdeuXfn666/Zt28fixcvNnZoQgghhBBClHvSki6EKJFx48axYcMGjhw5gq2tLQBLlixh4sSJRERE4OXlZdwAhRBCCCGEKMckSRdCFNuOHTvo3r07oaGhdOzYMc9jQUFB5OTkSLd3IYQQQggh7oMk6UIIIYQQQgghhImQMelCCCGEEEIIIYSJkCRdCCGEEEIIIYQwEZKkCyGEEEIIIYQQJkKSdCGEEEIIIYQQwkRIki6EEEIIIYQQQpgISdKFEEIIIYQQQggTIUm6EEIIIYQQQghhIiRJF0IIIYQQQgghTIQk6UIIIYQQQgghhImQJF0IIYQQQgghhDARkqQLIYQQQgghhBAm4v+9GdSyOpDVjQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "fig = plt.figure(figsize=(12, 5))\n", "ax1 = fig.add_subplot(121)\n", "\n", "visualization.plot(\n", " gs.vstack((geodesic_ab_fisher(t), geodesic_cd_fisher(t))),\n", " ax=ax1,\n", " space=\"H2_poincare_half_plane\",\n", " label=\"Fisher information geodesic\",\n", " color=\"black\",\n", ")\n", "visualization.plot(\n", " gs.vstack((geodesic_ab_wasserstein(t), geodesic_cd_wasserstein(t))),\n", " ax=ax1,\n", " space=\"H2_poincare_half_plane\",\n", " label=\"Wasserstein geodesic\",\n", " color=\"black\",\n", " alpha=0.5,\n", ")\n", "visualization.plot(\n", " gs.stack((point_a, point_b)),\n", " ax=ax1,\n", " space=\"H2_poincare_half_plane\",\n", " label=\"points a and b\",\n", " s=100,\n", ")\n", "visualization.plot(\n", " gs.stack((point_c, point_d)),\n", " ax=ax1,\n", " space=\"H2_poincare_half_plane\",\n", " label=\"points c and d\",\n", " s=100,\n", ")\n", "\n", "ax1.set_xlim(0.0, 4.0)\n", "ax1.set_ylim(0.0, 4.0)\n", "ax1.legend()\n", "\n", "ax2 = fig.add_subplot(122)\n", "x = gs.linspace(-3.0, 7.0, 100)\n", "lines = [Line2D([0], [0], color=\"C0\"), Line2D([0], [0], color=\"C1\")]\n", "ax2.plot(x, pdfs(x)[:2, :].T, c=\"C0\")\n", "ax2.plot(x, pdfs(x)[2:, :].T, c=\"C1\")\n", "ax2.legend(lines, [\"pdfs a and b\", \"pdfs c and d\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Geometry of beta distributions " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us now consider the example of beta distributions, where the space of parameters is the first quadrant. In this case, the geodesics for the Fisher-Rao metric do not have a closed form, but can be found numerically [[LGRP2020]](#References). Here we plot an example of geodesic ball." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from geomstats.information_geometry.beta import BetaDistributions\n", "\n", "beta = BetaDistributions()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "point_a = gs.array([1.0, 10.0])\n", "point_b = gs.array([10.0, 1.0])\n", "point_c = gs.array([10.0, 100.0])\n", "\n", "samples = gs.linspace(0.0, 1.0, 100)\n", "points = gs.stack([point_a, point_b, point_c])\n", "pdfs = beta.point_to_pdf(points)(samples)\n", "plt.plot(samples, pdfs.T)\n", "plt.legend([\"(1, 10)\", \"(10, 1)\", \"(10, 100)\"], prop={\"size\": 15})\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fisher-Rao distance between blue and yellow: 4.230720208803747\n", "Fisher-Rao distance between blue and green: 1.7253568493169043\n" ] } ], "source": [ "print(\n", " \"Fisher-Rao distance between blue and yellow: \", beta.metric.dist(point_a, point_b)\n", ")\n", "print(\n", " \"Fisher-Rao distance between blue and green: \", beta.metric.dist(point_a, point_c)\n", ")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Euclidean distance between blue and yellow: 12.727922061357855\n", "Euclidean distance between blue and green: 90.44888059008801\n" ] } ], "source": [ "r2 = Euclidean(2)\n", "print(\"Euclidean distance between blue and yellow: \", r2.metric.dist(point_a, point_b))\n", "print(\"Euclidean distance between blue and green: \", r2.metric.dist(point_a, point_c))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that for the Euclidean distance on the parameter space, the blue pdf is closer to the yellow pdf than to the green one, while the converse is true for the Fisher-Rao metric. The Fisher-Rao values seem more natural considering the mass overlap between these pdfs. More generally, the Fisher-Rao metric gives smallest cost to the displacements in the directions that preserve the mean, as we can see on the plot bellow, representing a geodesic ball centered at the red point, i.e. all points that are at same distance from that point. We can see that this ball is \"stretched\" in the direction of the line of equation \"x=y\", which corresponds to all the distributions with same mean as the one defined by the center of the ball." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_rays = 100\n", "center = gs.array([2.0, 2.0])\n", "\n", "theta = gs.linspace(-gs.pi, gs.pi, n_rays)\n", "directions = gs.transpose(gs.stack((gs.cos(theta), gs.sin(theta))))\n", "ray_length = 0.25\n", "direction_norms = beta.metric.norm(directions, center)\n", "unit_vectors = directions / gs.expand_dims(direction_norms, 1)\n", "initial_vectors = ray_length * unit_vectors\n", "\n", "ball = beta.metric.exp(initial_vectors, center)\n", "\n", "plt.figure(figsize=(5, 5))\n", "plt.plot(ball[:, 0], ball[:, 1], \"--\")\n", "plt.plot(*center, \"or\")\n", "plt.title(\"Geodesic ball of the space of beta distributions\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Learning on spaces of distributions " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fréchet mean of beta distributions \n", "\n", "Now we consider an application to the study of the leaf inclination angle distribution of plants. The leaf angle distribution among a common plant species can be appropriately represented by a beta distribution ([CPR2018](#References)). The dataset `leaves` ([CPR2018](#References)) contains pairs of beta distribution parameters, each describing the distribution of the inclination angles of leaves inside a given plant species. These species are divided into 5 categories according to inclination angle distribution type: spherical, erectophile, uniform, planophile and plagiophile." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "import geomstats.datasets.utils as data_utils\n", "\n", "beta_param, distrib_type = data_utils.load_leaves()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(5, 5))\n", "for distrib in set(distrib_type):\n", " points = beta_param[distrib_type == distrib, :]\n", " plt.plot(points[:, 0], points[:, 1], \"o\", label=distrib)\n", "plt.title(\n", " \"Beta parameters of the leaf inclination angle distributions of 172 different species\"\n", ")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the ```FrechetMean``` learning class, we can compute the leaf inclination angle mean distribution among the species of type 'planophile'." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from geomstats.learning.frechet_mean import FrechetMean\n", "\n", "points_plan = beta_param[distrib_type == \"planophile\", :]\n", "\n", "mean = FrechetMean(beta)\n", "mean.fit(points_plan)\n", "\n", "mean_estimate = mean.estimate_" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": true }, "outputs": [], "source": [ "fig = plt.figure(figsize=(5, 5))\n", "plt.plot(points_plan[:, 0], points_plan[:, 1], \"o\", label=\"planophile\")\n", "plt.plot(*mean_estimate, \"o\", markersize=10, label=\"mean planophile\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### K-Means clustering of normal distributions \n", "\n", "We now show how this geometry can be used to perform K-means clustering of probability distributions. We consider a toy dataset of normal distributions." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "n = 10\n", "x_a = 2 * gs.ones(n)\n", "x_b = -2 * gs.ones(n)\n", "y_a = y_b = gs.hstack((gs.linspace(1.0, 2.0, 5), gs.linspace(3.0, 5.0, 5)))\n", "points_a = gs.stack((x_a, y_a)).T\n", "points_b = gs.stack((x_b, y_b)).T\n", "points = gs.vstack((points_a, points_b))\n", "\n", "n_samples = 100\n", "samples = gs.linspace(-10.0, 10.0, n_samples)\n", "pdfs = normal.point_to_pdf(points)(samples)\n", "\n", "fig = plt.figure(figsize=(12, 5))\n", "ax1 = fig.add_subplot(121)\n", "ax1.plot(points[:, 0], points[:, 1], \"o\")\n", "ax1.set_xlabel(\"mean\")\n", "ax1.set_ylabel(\"standard deviation\")\n", "ax1.axis(\"equal\")\n", "ax2 = fig.add_subplot(122)\n", "ax2.plot(samples, pdfs.T)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "def plot_clusters(points, labels, samples, colors=[\"r\", \"b\", \"g\"]):\n", " cluster = []\n", " pdf = []\n", " n_clusters = len(set(labels))\n", " for i in range(n_clusters):\n", " cluster.append(points[labels == i])\n", " pdf_fun = normal.point_to_pdf(cluster[-1])\n", " pdf.append(pdf_fun(samples))\n", "\n", " fig = plt.figure(figsize=(12, 5))\n", "\n", " plt.subplot(1, 2, 1)\n", " for i in range(n_clusters):\n", " plt.scatter(cluster[i][:, 0], cluster[i][:, 1], color=colors[i])\n", " plt.xlabel(\"mean\")\n", " plt.ylabel(\"standard deviation\")\n", " plt.axis(\"equal\")\n", " plt.title(\"Parameters of clusters\")\n", "\n", " plt.subplot(1, 2, 2)\n", " for i in range(n_clusters):\n", " plt.plot(samples, pdf[i].T, color=colors[i])\n", " plt.title(\"Pdfs of clusters\")\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We perform K-means clustering using the Fisher-Rao metric, and then the Euclidean metric in the parameter space, looking for 3 different clusters." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from geomstats.learning.kmeans import RiemannianKMeans\n", "\n", "clustering = RiemannianKMeans(space=normal, n_clusters=3, init=\"kmeans++\")\n", "clustering.fit(points)\n", "\n", "plot_clusters(points, clustering.labels_, samples)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "clustering = RiemannianKMeans(space=r2, n_clusters=3, init=\"kmeans++\")\n", "clustering.fit(points)\n", "\n", "plot_clusters(points, clustering.labels_, samples)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that the Fisher-Rao metric will group the distributions with high variance together, because they have high mass overlap, while the Euclidean metric (which corresponds to the Wasserstein metric in the Gaussian case) does not take this difference into account." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Principal geodesic analysis of normal distributions \n", "\n", "Principal Component Analysis is a procedure that allows to find directions of maximal variance inside a dataset in a Euclidean space. It can be extended to Riemannian manifolds, in which case it is called Principal Geodesic Analysis (PGA). In Riemannian manifolds, we look for geodesics along which the projected data have maximal variance. In general, performing exact PGA in a curved space is difficult, and a linearized version (tangent PCA) is often used. However, in the Fisher-Rao geometry of univariate normal distributions things are particularly simple due to the constant curvature. Here we use the formulas of [[CSV2016]](#References)." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "from geomstats.learning.pca import HyperbolicPlaneExactPGA\n", "\n", "n_points = 200\n", "\n", "means = -1.0 + 2.0 * gs.random.rand(n_points)\n", "stds = 0.5 + gs.random.rand(n_points)\n", "points = gs.transpose(gs.stack((means, stds)))\n", "\n", "samples = gs.linspace(-4.0, 4.0, 100)\n", "pdfs = normal.point_to_pdf(points)(samples)\n", "\n", "fig = plt.figure(figsize=(10, 10))\n", "ax1 = fig.add_subplot(221)\n", "ax1.plot(samples, pdfs.T)\n", "ax1.set_title(\"Pdfs\")\n", "\n", "pca = HyperbolicPlaneExactPGA(normal)\n", "proj_points = pca.fit_transform(points)\n", "\n", "ax2 = fig.add_subplot(222)\n", "ax2.plot(points[:, 0], points[:, 1], \"o\")\n", "ax2.plot(proj_points[0, :, 0], proj_points[0, :, 1], \"or\")\n", "ax2.plot(proj_points[1, :, 0], proj_points[1, :, 1], \"og\")\n", "ax2.set_title(\"Principal geodesics (PG)\")\n", "\n", "proj_pdfs_1 = normal.point_to_pdf(proj_points[0])(samples)\n", "proj_pdfs_2 = normal.point_to_pdf(proj_points[1])(samples)\n", "\n", "ax3 = fig.add_subplot(223)\n", "ax3.plot(samples, proj_pdfs_1.T)\n", "ax3.set_title(\"Projections on the 1st PG\")\n", "\n", "ax4 = fig.add_subplot(224)\n", "ax4.plot(samples, proj_pdfs_2.T)\n", "ax4.set_title(\"Projections on the 2nd PG\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that the first principal component has captured the variation in mean while the second component the variation in variance. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", ".. [A2016] S. Amari. Information geometry and its applications. Vol. 194. Springer, 2016.\n", "\n", ".. [AM1981] C. Atkinson and A. FS Mitchell. Rao’s distance measure. Sankhya: The Indian Journal of Statistics. Series A, pp. 345–365, 1981.\n", "\n", ".. [BGKL2017] J. Bigot, R. Gouet, T. Klein and A. López. Geodesic PCA in the Wasserstein space by convex PCA. In Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. Vol. 53. No. 1. Institut Henri Poincaré, 2017.\n", "\n", ".. [CSV2016] R. Chakraborty, D. Seo and B. Vemuri. An efficient exact-pga algorithm for constant curvature manifolds. Proceedings of the IEEE conference on computer vision and pattern recognition. 2016.\n", "\n", ".. [CPR2018] F. Chianucci, J. Pisek, K. Raabe et al. A dataset of leaf inclination angles for temperate and boreal broadleaf woody species. Annals of Forest Science Vol. 75, No. 50, 2018. https://doi.org/10.17632/4rmc7r8zvy.2.\n", "\n", ".. [CSS2015] S. Costa, S. Santos and J. Strapasson. Fisher information distance: a geometrical reading. Discrete Applied Mathematics. Vol. 197, 59-69, 2015.\n", "\n", ".. [LGRP2020] A. Le Brigant, N. Guigui, S. Rebbah and S. Puechmorel, Classifying histograms of medical data using information geometry of beta distributions. IFAC-PapersOnLine, Vol. 54, No. 9, 514-520, 2021." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "backends": [ "numpy", "autograd" ], "celltoolbar": "Tags", "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" }, "vscode": { "interpreter": { "hash": "dcf13a70724539ab64b7167014f560d57c0eac286fa344d15db4bc88c0b22bf4" } } }, "nbformat": 4, "nbformat_minor": 4 }