"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Introduction to High-Dimensional Data Visualization\n",
"\n",
"High-dimensional data (data with many features/variables) is ubiquitous in modern data science and machine learning. Not only that we are incorporating numerous features in our models, we are also dealing with large neural network models that transform complex data into high-dimensional vector representations that have hundreds of dimensions. \n",
"\n",
"### The Challenge\n",
"\n",
"While we can easily visualize data in 2D (screen or paper), visualizing 3D (on a screen or a paper) is already challenging because we need to involve 3D rendering or other clever tricks. Going beyond 3D, we need to rethink how we show the data. \n",
"\n",
"### Solutions We'll Explore\n",
"\n",
"This lab covers multiple approaches to visualizing high-dimensional data. Roughly speaking, they can be divided into two categories. First class of methods are primarily designed to visualize somewhat low-dimensional data that we can make use of our 2D or 3D visualization tools. The second class of methods are designed to compress and reduce the dimensionality of the data itself. \n",
"\n",
"### Key Questions to Consider\n",
"\n",
"As you work through this lab, think about:\n",
"- What information is preserved vs. lost in each visualization?\n",
"- When would you choose one method over another? Why?\n",
"- Is this visualization \"truthful\"? What is it hiding? What is it distorting? "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "UAOjGPxrxTKp"
},
"source": [
"# Module 11: Visualizing high dimensional data"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"id": "_Iny8ybsxTKs"
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"import numpy as np\n",
"\n",
"sns.set_style('white')"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "xrdbDUAuxTKt"
},
"source": [
"## Scatterplot matrix for low-high dimensional data\n",
"\n",
"In many cases, the number of dimensions is not too large. For instance, the [\"Iris\" dataset](https://en.wikipedia.org/wiki/Iris_flower_data_set) contains four dimensions of measurements on the three types of iris flower species. It's more than two dimensions, yet still manageable. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 112
},
"executionInfo": {
"elapsed": 1056,
"status": "ok",
"timestamp": 1666745586000,
"user": {
"displayName": "Devin Wright",
"userId": "04589681907982391901"
},
"user_tz": 240
},
"id": "X5ZKQvrMxTKu",
"outputId": "2a340d8b-59b1-4157-8f5f-3bda6302f32f"
},
"outputs": [
{
"data": {
"text/html": [
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sepal_length
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sepal_width
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petal_length
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petal_width
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species
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setosa
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"text/plain": [
" sepal_length sepal_width petal_length petal_width species\n",
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],
"source": [
"iris = sns.load_dataset('iris')\n",
"iris.head(2)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "b2EgDPXhxTKu"
},
"source": [
"We get four dimensions (sepal_length, sepal_width, petal_length, petal_width). One direct way to visualize them is to have a scatter plot for each pair of dimensions. We can use the [**`pairplot()`**](http://stanford.edu/~mwaskom/software/seaborn/generated/seaborn.pairplot.html) function in seaborn to do this."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"id": "BH4TLOWrxTKv",
"outputId": "6d18a7c4-8fa9-4ba0-e709-fa55c728f5b8"
},
"outputs": [
{
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""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
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lcnfWwKMLY+bMbfZZtEfgBrPHWdCOR6Mc2QoeNGsNnIOe5xicVSChTgStXsXCreMRz3/MJze92uYbLgMAAEA2PklPHGQrqYNuOZynFwDkM8qRzdOjkOcYwEkYaEc8//EHMXlJ9ZYBAAAgG9+yapSnFwDkM8qRzdOjkOcYwEkYaAeUzPzHWvlIg5CfDgAAggt5eAG8wc9T25l+aB7UXwA9GGgHlMz8x1r5SIOQnw4AAIILeXgBvMFBzexMPzQP6i+AHgy0I57/eHhMXlK9ZQAAAMjGUY6N8vQCgHxGObJ5ehTyHAM4CQPtiOc/5siS63eUGS4DAABANo5KfLdGnl5+H1GLAZxhlCPbTHquMOQ5BnAS0nsFGJ+AzLpgkKnccnrzPjhhQGDz0wEAQLB1ap1L9583QAQ+U/ohvpKNQTaAsziF10M/H6ibI1vmuShA1GCgLZmSVJ0DRPCzZ0W5ySdmj10GU1uujPzHQc5PF1YyjiMAAD+3V5w+qOkEPyedjsjNpN4J6SYBnBSFvtbSOqYk9x04j4SgK3WoLcBAWyLO95mYT5Bvn+Hbasz+Mq+2jBE9iujqUd1p0rOf0sGa+qSWC9E6jgAA/Nxebd1b0SyHr3LLKl9lA3BaFPpao3VEPQQgR9sCPKMt8ZeQxJ2k5BG8acFqMT3ZZfDrWUs20KThXZJaLkTrOAIA8HN7xVeyE0/uldy9Ny9cI6YDOCkKfa3ROvLgAvUQoq7U4bYAA21J+HaDxJ0Uu7N4up1lcEM4qGOrpJYL0TqOAAD83F7x7eKJJ/exJ/k8HcBJUehrjdaRYyKgHkLU7XG4LUj61vGvv/6a1q9fT9XV1c2mnXvuuRQ1fE+/Hg4QYXcZ1XUNSS0XonUcAQD4ub3iZ7L1l6s/HcCuKPS1dtcR9RCioMzhtiCpgfazzz5L9957L+Xn51NeXl7ctJSUlEgOtPOz9XN9chRGu8vISk9NarkQreMIAMDP7RVHNtZfLsLHgLOi0NfaXUfUQ4iCfIfbgqRuHX/yySfppptuok8++YSWLFkS9/fOO+9QFHEqg8Q8ggp+n6fbWcaw7q1p5bb9SS0XonUcAQD4ub3i9EGJuXsV/D5PB3BSFPpao3XkFHqohxB1RQ63BUkNtKuqqmjMmDFk15YtW+jSSy+lQYMG0ciRI+mpp57SnPeqq66iY445Ju7v3XffJb/gEPAcnS5xZ/Hr+8b3NxUiXmsZHHX8mtE96JkPNie1XAgOGccRAICf2yvO0ctRjRNP8pVox1Zy+AIkIwp9rdE6cjRl1EOIugKH24KUxsbGRqsfuuuuuygrK4tuvPHGpL+4oaGBTj/9dOrXrx9NmTJFDLqvu+46mjZtGp111lnN5j/11FPFfCeddFLTewUFBZSZaW4DlJeX0+DBg2n58uXNbnd3Ig8b39PPtxvwLyHJ5tGOXUZFTb0IXFFWWSt+heQcb9xINstD2iJT3GLuRC7vMHQ8QSHjOAoKt+pm1HH0zG/2Vlj+XOfWuaITgmgyUz/Ntlex/VVBTjrlZqVTeXWd6Ne4n8lKSxV9Di9DTKuqQx8Ejgp6Xyujfn677yAdqPqhHrbMTqcOhS3ilpF4rlnYIlP6QBznnRDGtsD0AxgXXXSReP6a1dbW0sqVK+nvf/87dejQgVJT4y+MP//884bL27NnD/Xu3VsMrLlx6Ny5sxhEc2ORONCuqamhb7/9VgzK27RpQ37GO8Xujklchlaew7vH9qN7/76O/r52p3ivRWYaPX3JEHr03Y20NGZeGbm8w5Zb0u9kHEcAAH5pr7T6sdvP6kNVNQ30p3e+FNO4H3vkgkE0b9nmuHnRB4ETotDX6q3jlr0VIpWX2vllp8N5tN3ItY3zTghrW2D61vGhQ4fSCSecIP6GDRsmri6fd955dOKJJza9r/yZUVxcTA8//LAYZPNFdR5gf/rpp6qf5wjnPMjv2LEjRY1evtFbFq6h8wb/sE04z/bshEG2rFzeYcotCQAA/ujH7lr8BWVmpDRN434scZDN0AcByMWD28RBduz5JU93I+c9zjshzExf0eaBtWLRokV0xhlnNLtt++DBg/TKK69YLsTo0aOppKSERo0aRT/96U9VB9o8IL/hhhtEALajjjqKrrnmGjrllFMo7Izyjd54eq+m15xne/aSjbq54Ix+rTGTTy7sv/4CAEBw+zEAMGaUR5un832sRrm27d5CjvNOCDPTV7S///57MRjmv6lTp9KGDRuaXit///3vf+nBBx+0XIhHHnmEHn/8cVq3bh3NnDlTdaDNAdiGDx8uAqbxAJuDo61Zs4bCziiPYXlVvW6ebdm5vMOQWxIAAMLbjwGAMX4m26iuuZHzHuedEGamr2jzleTf/va3Tc9p823jsZSYameffbblQvCz16y6upquv/56ceU69mr55MmTxTPiHPyM9erVi7744gt66aWXmj4bVkZ5DPOy03TzbMvO5R2G3JIAABDefgwAjHHAMaO6lmK0DAm5tnHeCWFmuoacdtppIk82Rwv/8Y9/TC+//DIdccQRTdN5AJ6Tk0OFhYWmlsfB0D7//HOxLEX37t1FoDWOohi7bA62pgyyFV27dqWNG9VvLwsTJd8o36KTiN/fVVbd9JrzbHO+bbXbfKzm8ubbdZJdBgAAgNl+rKK6Tmo/BgDGlDzaWvWSp6elpujOIyPXNs47Icws5dFu166diDL+1VdfiSvJ7du3b/rjaWYH2YyjiPNz3zt3HoqYzdauXSsG2LGDbHbTTTeJ29VjcRl4sB12evlGOSrkguXbmt7jPNtTRnUXebdl5/IOU25JAADwRz/GUcdrahvF4Frpx341rEuzedEHAcjF0bzv1jm/5Olu5LzHeSeEmek82rHpvYyYSe9VX19PP//5z6lVq1ZiEL19+3a6+eab6fLLL6dLLrmEdu/eTS1btqTs7Gz617/+JXJsz5gxgwYNGkSLFy+mJ598kt58800x8PdjHm0zeQCt5CXcvu+gmE/J78a367QvbCGiQsbm11Z+gfzeQr5DvVzcbuWWtJo/UW1+hhyMwYM82u5AHm3wun7G9TXZ6ZSXnU4VNXVUUVVLRXnZVFFTL/qyVi3i82iLvNqZaVRaWUMtsuLbduTedZ6X21jvu7Hv5dRPM3m0lXNN5ZyQzzVj027JyLMd9JzmfhOl+lFqYl292h7pVtJ7Kfbt20d/+9vfxG3ffGU7IyNDBDJ766236MILLzS1vLS0NHr00Udp+vTp9Itf/ELcds6D+YsvvlhM58BnHBht3LhxdOqpp9Idd9xBjz32mAi61qNHDxEUzewg2y1W8gBayUuoNu+YXm3ElYBbF62N+z6+mn31qO406dlP6WBNvWEuQr1ydCt2Z9BjNX+i2vxW1xsAANzFJ97KyTf3PdyOr//uAP3lshNV+6HbzuxDk/+yQpwc8RVvvtJ97dyPaUinQnGli68SIPeus7zMb6z33XzZ5wbse9vM5NE2OgZk5dmOQk5zt0QpL3mJiXX1cnuYvqIda+LEiWLw+//+3/+Le//VV18VA3D+i9pVM/6lZMr8laopCnhnzrpgUFMDwr/8XffS56rPoHHj9NDPBzadjGjNO2V0d1q5dZ/qMviEZNDRhXEpUhLLYLUcTrGy3YzmN7ve4C+4ou0OXNEGv9TP2L7n6UuG0DMqebOVfogH15c+91mzNn7muH701uodtHSjub4DnO+f3fzu0/u1pamvNs88E7V9b6d+8pVsHnxo1T1u91tmpevuB57nD6+s8vQ8EvxTb/24rszL7WHpGW0FBzE76aSTmr0/YMAAWr9+PUWRmTyAZnOK8nSjeTnXqNYy+H2erlcGq+Xww3Yzmt/segMAgHdi+57i/Czdfoinq7XxxS2zVAfZDO2+N/2zm9/N+9+LcoUJ3y6uV/d4utF+MMrF7cZ5JPin3vpxXfd4vD2SGmgfe+yxNHfuXJGOK/ZXNc6HPXDgQIoiK3kAreQl1JrXKNeo2vTEXIRu5EeUnT/RaH4z6w0AAN6J7Vtic2irSZyutPHIt+08L/MbJ9PXK7DvZebRrrW1DDfOIyG6ecnLTKyr19sjqQR4/Fw1By0bNmwYderUSeTQ/uabb0Tk8SeeeIKiyEoeQKO8g7HTteY1yjWqNj0xF6GVcjjFav5Eo/nNrDcAAHgntm+JzaGtJnG60sYj37bzvMxvnExfr8C+l5dHOzMt1dYy3DiPhOjmJc+XsK5Ob4+krmh369aN/v73v9ODDz5IZ5xxBv3sZz+jhx9+mBYtWiRSfUWRkgdQTWIeQCWnqJrEvIRa83KuUa1l8HNsPF2vDFbL4YftZjS/2fUGAADvxPY9u8qqdfshnq7Wxu86UG2p7wDn+2c3v5v3vxflChOOLq5X93i60X5QcnF7eR4J/qm3flzXIo+3R1IDbZaZmUkjR46kSy+9VPz96Ec/ovT06P5yZSUPoJW8hFrzrispFVEhE7+Po29fM7qHyEWqVwar5XCK1fyJWvNbWW8AAPBObN/DwZg4urhWjm2ezpSo49zGc9s+qmcb5N51mJf5jY2+e2TPNtj3NnEKL7082jzdaD9wxGavzyMhunnJC0ysq9fbw3TU8d69e9MHH3xArVu3pl69eunm1OZUX37jdh5tM3kAE3OK8i9/Wo2S1rxq38es5CK0Ug6nWM2fKGO9wR8QddwdiDoOfqufSt9zsKaOivKyRB5tpf3mq2n8/v6Dh/LyZqeniudBc7Pi23bk3nWel9tY77ux7+Xm0Y6te4l5tI22tR/OIyFelOpHqYl19Wp7mL4E/dxzz1FBQYH4//PPP+9kmQLNSh7A2JyiRvgkIyON/1IoIz1VvI4lfi1JSS4XoZVyOMVqmdXm54a+tr6BauobqbahgarqGujQEWtfXCeSk06FLdCJAADYofRr/MN9bUMjtSvIpoK2+c3mU06Q6rmjS/iNH7l3nae3jZV9wwGH+Hndoly5+0Pvu2OncR+9o7SK1u8sN+yjnS5z0HAKr+raBlEXM9NTxetERvXMzHkktrs3YscHflQq4bgw0w8YzePUeb7pgfYJJ5zQ9P9XXnlF3CrOwdAKCwttFwL0aSVan3FuX7rrjS/p7XW7Qp+Q3sjWvRU0deGauDQTyq1LR7fO9e2yAQCiSKtfS+y/zM4H7vPLvrHSR/ulzH7h1vbAdndXULZ3iU/K6eR5flLPaLdt25aeffZZGjFiBJ133nn0pz/9iVasWEENDfrpNiC5X3oSD0Il99vNC9dQr4Rf//l9vkWUPxcV/CtUYgVRcjjyNuLpflw2AEAU6fVrsf2X2fnAfX7ZN1b6aL+U2S/c2h7Y7u4KyvYu9Uk5nT7PT2qg/bvf/U5c1V62bJlI87V//3666aab6MQTT6Tf/va3tgoE8fQSrfNBMKhjq9AnpDfCt3okVpDYbcTT/bhsAIAo0uvXYvsvs/OB+/yyb6z00X4ps1+4tT2w3d0VlO29xyfldPo8P+mo46y+vl48W5WVlSWe3+agDF999ZWtAkE8o0Tr1XUNoU9Ib4Sfp7Az3atlAwBEkVG/pvRfZucD9/ll31jpo/1SZr9wa3tgu7srKNu7zCfldPo8P6l8XFOnThW3im/fvp2OOeYYOu644+iyyy6jIUOGiKjk4F4y9qyEoGhhTEhvhCNc2pnu1bIBAKLIqF9T+i+z84H7/LJvrPTRfimzX7i1PbDd3RWU7Z3vk3I6fZ6f1BVtTiOwdetWGjp0KJ111lni78c//jEG2Q7QS7TOD+qv3LY/9AnpjXAaicQcjgp+n6f7cdkAAFGk16/F9l9m5wP3+WXfWOmj/VJmv3Bre2C7uyso27vIJ+V0+jw/qYH2v/71L3r//fdp/PjxtGXLFrrllltEVPKJEyfS7NmzbRUI4uklWudoeOt3lIU+Ib0RDr/P2yKxoigRA+2E53dy2QAAUaTXr8X2X2bnA/f5Zd9Y6aP9Uma/cGt7YLu7Kyjbu8An5XT6PD+lsbFRpFhLFj+X/dlnn9Hbb79Nr732GqWmptKqVavIb7icgwcPFlfj8/LyHMvxpjYvP0f9vc3cbFr53YKYkN6pXIpx2yg7XfwKxdtIbdtx/lYrZVBbttYytNbP7nHk9/3qRd2MkoaGRkpNTT4ZJkfx/GZvheXPdW6dKzpDiCa79VNpy8qra6kgJ4Oq6hqorLKOWuWmU25GOh2oqlPtG2PbwLysdMpMS6XSyhrKzQpGPxcmev2R0jeWV9dR69xMqq1vpIqaOlt9XDL9H6cJKq2sbToX4mNNSQ+UuLycjDQxX2ml3Hy5Qe0/v913UNTDA5W11DIng1pmp1OHwhbSyxrE81WvmKkDRvPI2N4yckuXulBOpf6XVR7qZ/h7rKYH0xpD2JXUjed8Nfvjjz+mTz75RAQ/69Spk8ipzVez+XbyMLGS401t3hE9imjyyG506XOf0cGa+qRysxmVIUgNlZM587hCJFYKtdx4I7oX0dWjutOk5z5t2idGZUhcNq/HlPkrTec2t5Lz3C95BcFfeJA9a8kG2r6v0tLnBnZsReefcLRj5QLQorRly7fso0cuGET3/3O9aItbZKaJ1/OWbY5rm5V2jn9OugFtoC/o9UfKflL27/+9/T/V/Wm2j+OrWHzlx2r/Z3V5fA42cVgXunb+SnEOEOVja8veCpHCKDF/8N1j+1Enm/mDE/G5apDOV71i5hzQzDx2t7eM3NIlLpRT1jGsNoaQIakr2jyYPumkk8TgmnNpH3XUURTGX/34V5bEwVTsgTLrgkFxv8BqzTuse2sadHQhzV6yMe4geOjnAw13qpUy+J3b68K/Tl330ueqYfvV9onZMuitB+/XgQnL1XvfynEUtP1tFq5oO3tV+uRuRXTtmB64og2u1s/YtmzK6O60cuu+prY48XViO3d6v7Y09dU1kWkD/cqoP1L2k9H+NNvHzRzXj95avYOWbjTf/yW7vMRzgKAeW3b6T76SzYMgtf3G5yzc7jtxZRu0mTkHZE6fJ+qdP/tp/FKyv5L+8MoqzXLef94Az39AS+oZ7f/+97/08MMP04QJE3QH2RyNfNu2bRRUVnK86c27TCXftdncbH7JMyeD2+uilxtPbZ+YLUMyuc3N5jwP0/4GgOiKbcu47YttixNfJ7ZzxS2zNKehDXSPUX+k7Cej/Wm2j+PlqQ2K1ZZjd3mJ5wBRPLb4dnG9/ME8Hdxl5hzQjfNEGbml3ShnaWWtbjl5uteSunWcc2ebYfPx70DleEsm37WZ3Gx+yTMng9vrYrR91faJmTIkm9vcTM7zMO1vAIiu2LYsse3TagvNTEcb6B6zfZ3R/jTbx1lZjozlJU6P2rHFz7Pqidr28AMz54BGIysZ+01Gbmk3zmfLAnAMIwmwpBxvyeS7NpObzS955mRwe12Mtq/aPjFThmRzm5vJeR6m/Q0A0RXbliW2fVptoZnpaAPdY7avM9qfZvs4K8uRsbzE6VE7tjhglJ6obQ8/kHEOKGO/ycgt7cb5bH4AjuGkbh2PCis53vTmHaaS79psbja/5JmTwe110cuNp7ZPzJYhmdzmZnOeh2l/A0B0xbZl3PZxm6tIfB2LP7PrQLXmNLSB7jHqj5T9ZLQ/zfZxvDyr/V+yy0s8B4jiscXRxfXyB/N0cJeZc0A3zhNl5JZ2o5wFORm65eTpXsNAW1KON615Oer4lFE96JkPNieVm80veeZkcHtdtHLjcdTxa0bH7xMrZUgmt7nZnOdh2t8AEF2xbRm3tb8a1qVpMKa8TmyblXZuZM82aAN9wKg/UvZT4v5Nto8b1bON5f4vmeXxccflVc4BonpscaCzuzXyB/P7CITmPjPngG6cJ8rILe1GOdu1ytE9hr0OhCYlj7aeQYMG0euvv04dO3akMOTRNpPjTW3euDzaSeZmC1P+QbfXRS8Htp0yaK2H1fetLDuMEHXcPEQdh6Dm0a6oPpRDVcmjXZCTLtq2ypp61XYuSm2g3+nti9j9W5CTSTX1DVRRXWerj0tm31tZXl52uigjP98Z9GNLah7tw9vHqTzaYJ6ZOuBGGykjt3SpC+VU8mgr38FXsv0wyGaO3hdiNmia3yWT4038enF49Yvzs8Wf2STuWgnig9oReJ1LkQfVGWn8l0IZ6anitdUyKJWYO2auwLy/tHKYV9TUi5MN/oElm086auqpoIW19Ua+SQAIA7NtGbexJaVV9NV3B6igRQa1zEonPoWI7UvBPc3OT/IyqVux9kCuvpGorrFRRPouOLJl0zI27Spvdo4TS23/xh4zSjm+3lNBeVnplJmWSvsra8TJdG5WOpVX1RmWMer9qda5piL18Lk6X3ZLiXkN3tNr//hHy9r6Bqqpb6TahgbxusCF82erCgzqn9HxaUZuZpr40ZbLmpmeKl478T2+G2gHPeq4VWYSs+vN+5PexXTrmcfSLQvXiLD0ySaIh+T2iZYteyvo5oVr4lIIKLeldErYJ1bmBQAA7XZz4rAudO38lXSwpt5yuw3O95t68/HY4AaVaXzLKJ8ZJrt8vj39suFdaW9FDT39wea4YwbHiPV9iXOWYNa/rXsraKrKfpM5VpBx/uzGd5hZhhvrosX0TxMlJSWm/xTvvPMOtW/fnqKAfylJ3IlKrji+ZZOnG817TNt80eDFDrIZv+b3+Uo3OLNPtHDlTOyElH3CP4jw9GTmBQAA/XZz3rLNNGl4F8vtNjjfbxrN997/dqtO4/dvfCX55fNxsqO0UjxfnXjM4BiJZ7SPtu87iHOWANY/HgskDrJljxVknD+78R2lJpbhxrpIuaI9evRow1vB+Qo2z7Nu3Trx+ogjjqCoMJOYXblFQWveQR1b0ewlG3UTxFt9NiLKrOwTLXy7eGJjFrtPeLrya5iVeQEAQL/d5PcnDTs00LbSboPz/abRfJec3Fl1Gt9avnSjveXzeVDiBQm1ZUSd0T7ixxNxzhK8+se3i+vtNxljBRnnz258xx4Ty2BOr4uUgTZfnQY5idm15uVneu0miIfk9onmMiot7FcL8wIAgHG7mdgvoh31R79pNJ/W+YzReY6Z5ZtdRtQZ7SOcswSz/vEz2U6PFWScP7vxHWUmlmH0ELPTx7npgbaZW8BramrE1eyo3C6ebGJ2rXmzDIIMmEkQD8ntE81l5FjYrxbmBQAA43YzsV9EO+qPftNoPq3zGaPzHDPLN7uMqDPaRzhnCWb94yvaTo8VZJw/u/Ed+RKW4fRxnlQe7RUrVtA555xDffr0od69ezf9DRgwgC688EKKIiuJ2bXmXbltv+0E8ZDcPtHCEcb19glPT2ZeAADQbzc58BX3i1bbbXC+3zSab9eBatVp/L7d5fMzqCM0jhkcIz8w2kc8IMM5S/DqH48FnB4ryDh/duM7ikwsw411kT7QnjFjhrhq/fjjj1NOTg7NmjWLbr31VmrVqhXdf//9FEVWErNrzbt+R5lm4nWzCeIhuX2ihZ9P0ton/H7s80tW5gUAAP1281fDuoigV1bbbXC+3zSab2TPNqrTRvVsY2v5/ONL24Ic+tXwLs2OGRwj8Yz2UfvCFjhnCWD947HAPQ6PFWScP7vxHQUmluHGuuhJaUwiB1e/fv1o0aJF1K1bN7rooovosssuo1NOOYX+8Y9/0JNPPkkLFiwwtZwtW7bQXXfdJa6QFxQU0C9/+UuxLDVffvkl3XHHHfS///2PunfvTnfeeSf17dvXdJnLy8tp8ODBtHz5csrLU88FqZVjzUruNSuJ2bVyM6slXueccE7lf7Oyflo5vu0ug3PzWckpnsz6xe4Tzm2ttu211uPbfQfpAOfrrDz0fsvsdJHnVW1etf2n1WHJOOaS2RZufZ+sugmHcITMb/ZWWPrMyd2K6NoxPZL6LOvcOld0UhBNydRPM+0Mt4t8CzC37QcOv+YcyXsrqikvK4PystOporqOSiuTb/shXuL2z85IE/8vU9nGSt9bXl1HrXMzqbq+QcxX0IL7vgyRs5Y/q+S2PlDFua0zqaa+QXyG93tORprYt7wPC3LSxf7mvpFv98zi7+Y+uOrQtEP7vkbs99hyxPbfOZlpIk/u93yMZB/KtV5V26B6vpV47pCbkSbyb7fIiu/fZPR9fu8/tc41FWrnNx0KW/hmHYPIaHsZTTfaZ7H77UBlLbVU2W9m9pnRPGaODbvbYvu+g4f6gcPrwXda8I9AVpZhZntZGZ/JlNSN/HwVOy3tUDLwrl270vr168VAu3///rR586Ffn400NDTQ5ZdfLgbtCxcuFIPu6667jo488kg666yz4uY9ePCgmJffv/fee2n+/Pl0xRVX0L///W9q0cLaDteildf6Ns5rvWit6dxrRonZFVo58PhXxPv/8RW9ueY78V6LzDR6ZuLxNGfJxrhInbLyv1nJLadW5jG92tDtZ/WhW01uI7VljOheRFeP6k6TnvtU5EtVPj/93L505+IvaMlXu23lCUzcJ3p5I//09v/o1ZU/pKg7s99R9IfTejWbX6vMyjqb2S+yjjmz3P4+AIgeM+0M92uPXDBIpO9Sa4d50KWWgxltkpz9orf9uX/NOLz9l2/ZJ+b7v7f/J+b74XNfxn1Oqx9JzIWulwN72OE7GC5+5hM67uhWTf280n/r5Q0eeHRh3LpqzXvbmX3oF098RMe2zbeUz9vsdk12GU4yyrdsJo+239fRb4y2l9F0MzmyjfabjNzSMnKsl0j4Dhnby8r4zBe3jp944on00EMP0c6dO2nQoEH01ltv0f79+2nJkiWUn59vahl79uwRz3VPmzaNOnfuLAbqJ510kvhVLhEvPysri2644QZxFf2WW26h3NxccQVdBr281rzzZOde08uBx7kLxx3Xoek9ziE6a8mGZukwZOR/s5JbTqvMvdsViEpiZxm8brPe3dCUL1X5PG+LY9sVSM0TaJTrmk8KYo09roPq/Fpltpv7z6ljzu3vA4DoMdvOcLuZOMhT2uFbF66h99ar52BGmyRnv+ht/1titn/ifFqf0+pHEnOh6+XAXhYzb2I/byVvsN6809/4QgywreTztrJdk1mGk4y227cm8mj7fR39xmh78T7Rm87b3OhYNzqP5SvEdnNLGx0b/B1u5HEvNViGme3ltaQG2jzQLS0tpX/961/0s5/9TNyuwoPvmTNn0tVXX21qGcXFxfTwww+Lz/Ld6zzA/vTTT+mEE05oNu+qVavErTFKHm/+97jjjqPPP/+cZNDLa62Vqy42P5tVfDuTXg684vwsx8tgJf+cXpmtlE9vvfl9Xlbitkh8T3mfl5UMo1zX6WnxVYL3hZUym90nbh9zbn8fAESP2XZGr91ZmtAHxkKbJGe/mN3+Zveb3vIS+0m9HNix88b280bnTLHnA2bPr8zk85Z5DuUFo21xwEQebb+vo98YbS/eJ3rTjc5R+fNG8/Bt2Eb7zKicRseGmRRiMvK47ym3v728ltSt43x79/PPP9/0+s9//jNt3LhRXM3maVaNHj2aSkpKaNSoUfTTn/602fTdu3eL57JjtW7dmjZs2EAyJJvXOtnca0YHaHlVveNlsJ77W73MVspntN5qy9JafrJ5Ag3zRiZMj90XatTKZyf3n3PHnLvfBwDRY7adMWp39KajTbK/X8xuf7P7zcr+tDKv0s8b9fex082eX8no+9zINWyH4XYzkUebHyMwmgcs5C63uU/480ahtczsV6PgXDJyrBvWj0r7x5+Z7eW1pJOtbdq0SQQ9+/rrr8UV5mOOOYYmTJiQ1LIeeeQRcSs530bOV8U5gnmsyspKysyMv6+eX3PebhmSzWudbO41oxx3edlpjpfBeu5v9TJbKZ/ReqstS2v5yeYJNMwbmTA9dl+oUSufndx/zh1z7n4fAESP2XbGqN3Rm442yf5+Mbv9ze43K/vTyrxKP2/U38dON3t+JaPvcyPXsB2G281EHm2Ol2A0D1jIXW5zn/DnjQbJMvKjS1mGUf3IsX/8mdlegbx1nJ/F5jzaa9asoS5dulDHjh3pk08+EbeR8+3fVnFANL6aPXXqVHrxxRebDaD5+ezE9/h1dracCKTJ5LW2k3vNKAferrLquDIMc6AMzEpuOa0yW9lGeuudmC+VDVd5z26eQKNc13X18b9y876wUma7uf+cOubc/j4AiB6z7Yxev8b5kbVyMKNNkrNfzG7/xPm0PqfXjyT2k3o5sGPnje3nreQNNnt+ZTaftx6v8/MaMdoWLU3k0fb7OvqN0fbifaI33egclT9vNA8PLu3mljY6NswMYGXkcS/Ks7+9AjnQfuCBB+g3v/mNuGX8xhtvpJtvvpn++te/ikjgd999t6ll8BXst99+O+49vj28trZWpCuIxbej8/yJn+fnvGXQy2vNUetk517Ty4HHkfYWrvi26T0OGnLN6B40woH8b1Zyy2mVeV1JqSiznWVwBG9eRyVfqvJ5Xi4vX2aeQKNc188ui4+az/vibgtltpv7z6ljzu3vA4DoMdvOcLvJEabV2uEZY/tp5mBGmyRnv+ht/7tjtr8ynzK41vqcVj+SmAtdLwf2sJh5E/t5K3mD9eblDCkcWMlKPm8r2zWZZTjJaLt1MJFH2+/r6DdG24v3id503uZGx7rReSynxrKbW9ro2EhMv+VUHvcCg2WY2V5eSyqP9sCBA+nVV18Vqb1icWqvc889VwQvM8KBzM4//3x6//33m57r5tzc9913H3300Udx877yyisiPzdHGefb1LnIp556Kl155ZU0fvx46Xm0E3OsOZV7LS7PI+eOzI3PSR37fcyp/G9W1s9Kma0sQ8mjnfh5re+zSyvXtdZ6WCmzFW4fc25/nxnIo20e8mhDkPJo67Uz+Ql5tGPbYb1lQPISt39cHu2E/lWZt6L60LxVdYfzaOeki/3BebSN+hElFzo/R5l7ON92aSXnys4Qr8sP7/sWmemUkZZyKI92lnY/b+V8IHHe3Mw08d05mfHHkozjzO/9p9F20zofioX6aI3R9jKabuZYN9pvZvaZ0TxNOa4PT1fLcW13W5RIOP6cGivIkNTN66effjo99dRTdOedd1JGxg/3x7/88st0xhlnmL5dvE+fPuJqON8yvn37dnGlnAfPSgC0li1bitvDTzvtNJFOjK+W8+Ccby/n57a5HDIZ5VgTv0gcCnwuBR8EageCVjmcatSs5JbjwSUHJ+BOMSM9Vby2uo3U1ltJEZH4ea3vU0tez9QS2qvNa5TrOrEcevvKDr19rdUgJq6fU98HAJAMs+0Mt2lVtQ2ijc9MTxWDIaNlRJUT7T8vkwfMWekplJ2RSvsO1tCWvQcpPyedCltkUrfivLjv5n6YM3OkpaYQJ4Hhv/S0FHEb9td7Kg6VK++Hz6n7Ia/tkQnZYLu00S9/Yj/M5dq0q1x1m6j12R1jvltrmySzzf1+rGqdvyi43vFxoFYPg7KOfmO0vQ5U11FNfYMIypdd3yBex85vdK5tZr+Z2WdG83B9P5zv6XB9t34jdIHBdxidj5tZhtExHriBdnV1tUjt9Z///If69u0rBtvr16+nbdu20YABA+jiiy9umjc2OnmstLQ0evTRR2n69On0i1/8gnJycuiiiy5q+uzw4cNFYLRx48aJX+meeOIJuuOOO+ill14Sgdfmzp1LLVpY+1UlGWaSvkeF2rb4Se9iuu3MY+mWRWuT3kZa23jGuX3prje+pLfX7dL9vhaZafTMxONpzpKNcek6tJahVTY/72s/lw0AwCq0ad5uK2WZy7fso0cuGET3/3N9XJoc5dZLPom/IeG7eRrnu06hlGafc2sfOn38ROX4jMp6+smWvRXN8kcrt0t3ap1rap+4sd+27q1olqNaaReObt38RyuQeOv47NmzTc87ZcoUCvLtb1Pmr1TN4cYH9KwLBkXmFz6tbTFldHdauXWfah47M9tIbxtzhR54dCHNXrJR9/v0yqC2DLWy+Xlf+7lsMuDWcfNw6ziEoX6GvU2TyYltFbtMvf6Tg5ad0a+dONlWm3Z6v7Z088K10sqVTPmd+O4gHZ926meQ1jMsvt13UAyQtc5Xua+d+uoa3X3CnN5vfCv2dS99rlnOh34+0LdXkENxRdsvg2enGSVK5+lRaYS0tsWgjq2aDWKtbCO9bczJ5jk4itH36ZVBbRlqZfPzvvZz2QCMNDQ0UmpqimefB/9Bm+bttopdpl7/uXTjXpqo0n8aTXN6Hzp9/ETl+IzKevrJgao61cGrcr7K0432CXN6v/Hzznrl5OkYaJuTdIKx119/nZ599lnaunUrLVy4UNwi3qZNG7r88sspLAyTrZtI2B72bcHPl9jZRkbbOHH5at9nVAat6bFl8/O+9nPZAIzwIHnWkg20fV+l5c+2L8wR0f0hXNCmebutYpeZbP9pNM3Jfej08ROV4zMq6+knHBjQzjbn6Ua3IcvYbxxUzM50sDnQ5lRe/Hw1By7jAGaMn9W+5557RH7rsFzxNky2biJhe1hobQuOGmtnGxlt48Tlq32fURm0pseWzc/72s9lAzCDB9nJ3LYO4YQ2zdttFbvMZPtPo2lO7kOnj5+oHJ9RWU8/4aB6dra5mX0iY78Z5ck2k0cbbOTR5vzZM2bMoF/+8peUmnpoEeeccw7df//9IvJ4WBglSlfSbkWB1rZYuW2/ZrJ4M9tIbxvzcnn5Rt/H7yl5Ps0sQ61sft7Xfi4bAIBVaNO83Vaxy9TrP/k5bI4orjWNn+OUWS6/HD9ROT6jsp5+0jI7XfOcmd/n6Ub7xI39xumx9MrJ08HBgXZJSQl169at2fsdO3ak/fubD2qCyihRepSeXdHaFut3lIkIhMluI71tzMvl5Rt93zMfbBa3l44wuQy1svl5X/u5bAAAVqFN83ZbxS6T+0+OY5I42FaiII/s2abZd/O0Xw3vQm0Lcpp9zo196PTxE5XjMyrr6ScdCluIejVco77xdKN94sZ+4+ev79EoJ7+P57MdjjrOKbiOP/54uuaaa2jQoEHiee0OHTrQbbfdRlu2bBFXvP3GbmRGo6TvURGXFP5wrk2ucErCeX7+hJPN8x+n3TKb91NrGycul5fDqQsSy3FEi0zx3IqZsvEyON+gXs5tM/taRl5TK7TKJqMcbq9LLEQdD3/UcUQ8Dy4n6yf6Vue3lfK58upaatUik2rqGqi8mvvIDMrLSqeK6joqP9zuV9U1UFllnbgtlK9YKSfTif1ty6x0Kq+po4qqOirKy6KDNfV0sOaH//N8BTxfdgZV1daL/jexX9E6l7BC6/xAVt+XzDZ3uy+VUT9RD+UzOg44+jgHPuNjl6fzlWweZCvM1A8Zx78Ro+8wc7zvNFgXM8sI8nluUjfZ33rrrSLo2XvvvSeeyb7zzjtp8+bNVFVVRU899RSFjZmk71Gglbdv+rl96c7FX9CSr3aL93iA/fQlQ+jRdzmvtbn8mmrbWC2H35hebej2s/rQrSbzaCeWTflFbtrZfen8uR81RXCMLZuZfe1F7km1bSSjHMijCQBeQN/q7LYyypWttPNd2+RZ6h+4D710eFdqpEZ66N//o/XfHaC/XHaias5djkx+7fyVYgCuXHGrrW+wnZ9XRo5fo77P6jYPal+KeiiX0XEgI4+2Gzmujcoho5wlLuUM97JuJnXreM+ePenvf/87/fznPxdXt9u1a0fjxo0TUch79+4tv5TgOf4lKPEgVVIJ3LJwDR3brqDpvUnDu9DshEG2Mi9f2eJlGeFfwBIrJ+vdrkA0ULHl4O/jqMaxg2ytsimpCaa9vlZ0+MmUTW9bmF2GDDLK4Zd1AQAAeWLbdu4j5y3b3Kw/NWrntfoH7kN3lFaK2855mdyX3vXGF82Wz/Px9/L3K9/33v92i35ZbV7u27We+zZzfmBlGbL7PvSlYOY42L7vYLNBtnLscr3g6UbHkYzj3+568HfYLWeJyuA3cRlhOM9NaqDNt6iceuqp1KlTJ/rVr35FS5YsEYPssWPHigE4hI9RvmvOxang/2vl34vNA5hMDj+1Zet9X2LZYt8vzs9Kqmxmck+6QUY5/LIuAAAgT2Ku7GT6ZL3+gW/95H6UcV+qtfxlCX1wccusZj/CJ+bnlZHj1+2+D30pmDkO+PZpvWOXpxsdRzKOf7vrwd9ht5yllbWGywjDeW5SA21O43XGGWfQgAED6KWXXqKsrCxatmwZTZ8+nR555BH5pQTPWcl3bTe3tl6OPpl5tMur6pMsmz9yT8ooh1/WBQAA5LGSK1urndfrH2KXqdaXas1rVBYz+Xll5PiV3fehLwUzx4FhHm0TebbdyHFtuB4G32GqnJVm1jX457lJDbQ3bNhAl1xyCeXk5Iir2Xx1OzMzk0444QQRkRzCx0q+a7u5tQ99n3r4AJl5tPOy05Ismz9yT8ooh1/WBQAA5LGSK1urndfrH2KXqdaXas1rVBYz+Xll5PiV3fehLwUzx4FhHm0TebbdyHFtuB4G32GqnDlm1jX457lJDbSLiopo48aN4u/LL7+kUaNGifc//PBDatu2rewygg9YyXetl5fTbI4/rRx+svJo8/u7yqqTKptfck/KKIdf1gUAAOQxmytbr53X6x/4+UvOpc24L9XKuTssoQ/mvNzK55LNzysjx6/svg99KZg5DnjwqXfs8nSj48iNHNdG68HfYbecBTkZruQM97puJjXQnjhxIl199dU0fvx46tevn7iS/fjjj4vo4/w+hI9e3j6OlLiupLTpPQ6QMmVUd9W81mZz/Gnl8OPvudtCHu3EssVGHefgCMmUzS+5J2WUwy/rAgAA8pjJlW3Uzmv1D9yHcg5tzqXNy+S+9LYz+6jm3OXv5e9Xvm9UzzaaeYTN5ueVkeNXdt+HvhTMHAftDfJo83Sj48iNHNdG68HfYbec7VrluJIz3Ou6mVQebbZu3Travn07DR8+nLKzs+nzzz8X//bq1Yv8KEq5ep3MFaeVDy/u/ex0ap2bSdX1Dbp5As2UOXG5Sm5PtbyPnANUL4+2Mm9BTB5tO3kj/ZJ7UkY5vFyXKNVNu5BHG9yG+hk8sf0m57Pm27U5V3Zedkyu7Jx0cUulVp5rvf4hL/uH/NsFOZlUU99A1bX8XZlUcTiPdlO+7eo6Kq1snj9XL4+w2XMYrfMDL/s+t/tS1E9/nkMb5Y7m6OI8jZ/J5tvF+fjlQbbZz5s5/t1cD6UeJ66HlXLq1Zkgn+cmfSM/p/GKTeU1cOBAWWUCG5zMFWe07NiKY5QnMNnlauV91FrGjHP70l1vfElvr9vVbNndivNCkXtSRjn8si4AAJA8rby13PdOP9wXtshME3m15y37UjWvduK5gp0c3ol9Ml9B4oG51vlBZloq3WDyHIbPDexevZPd96EvDTY3cjbz9JteXWMrP7XR8e/Gepg9zz/SoJ6aqTNBPs9N6tZx8Ccnc8VZWbaZPIEyy6y3DC5Hr7b5SS8bAAAgCPTy1t4S0xcmm1fbLL0+mfNo36pRRn7/vfW7kYsaPOFGzmaj/NNm8lP7YT2MzvN5kA6HYKAdIk7mirOybDN5AmWW2UqOb6vLBgAACAKjvLVKX5hsXm2z9PpkvTza/D7n5HaqXAB63MjZbJR/2kx+artlkLEMo/N8fhwFDsFAO0SczBVnZdlmcuMls9xky6aVtxN5LQEAICyM8tYqfWGyebXNl8Nc/m2r09Fng5PcOB+1mwPbrbzRtvOBo642wUA7RJzMFWdl2WZy4yWz3GTLppW3E3ktAQAgLIzy1ip9YbJ5tc2Xw1z+bavT0WeDk9w4H7WbA9utvNG284GjrjbBQDtEnMwVZ2XZZvIEyiyzlRzfVpcNIEtDQ1IJHgAATDHKW6v0hcnm1TZLr0/Wy6PN7/N0p8oFoMeNnM1G+afN5Ke2WwYZyzA6z+fsPnAIBtoh4mSuOCvLNpMnUGaZ9ZbBufrW7yhLetkAsqSmptCsJRtEIBGrfy9+stXr4gOAz+nlrb07pi9U8monzierb9TrkzmP9gyNMvL7I3u2QS5q8IQbOZuN8k+byU/th/UwOs+3m+UoTJLOox00Uco16GSuOCvLbsoTeHhetfx6MsustQy/5LsGdVGqm8nmk7aTCxt5tMGOKNXPsNDKWxvbF/Ktn7mc5zqmj5bdN+r1vRyVmAMmKdP4Cphyco4+2zzUT/ncyNlsd7pf1kOvHoPNPNrgXzJyxWklutdattr8eVnpVFXbQBlpqZSZnipeWy2zVjmsLAN5LY1Z2c4AAODfdjk2b62yjJL9+w4tIy+TuhX/MCA7Ml/ud5vte/lkXOuE3GyfHbR+K2jljTpxFTIluc9W1TVQbX0D1dQ3Um1Dg3hdkMQxbqcMbuSe1qvHbir1cd3CQBtsJ7pPnL9FZho9M/F4mrNkIy3daG4ZMsoBycF2BgAIX7uc7DKC0CcEoYxBLm9UydhPW/dWNMtnz7dU82MdR7fOdaUMUVLi8+2FZ7TBVqJ7tfknDe8inkWNHWTrLUNGOSA52M5ghG8FQyA3gGC1y8kuIwh9QhDKGOTyRpWM/cSPbSQOspXc0jcvXCOmO12GKCkNwPbCFW2wnOg+9nYMtfkHdWxFs5dsNL0MGeWA5GA7gxF+jlMJ5LZ9X6Wlzw7s2IrOP+Fox8oGEEYy2uVklxGEPiEIZQxyeaNKxn7i2AiJg+zYwTZPVx7rcKoMUbInANsLA22wlehebf7qugZLy5BRDkgOtjOYxYNsqwHN/HDbFkAU2+VklxGEPiEIZQxyeaNKTr2rszkdx4oVQdheuHUcbCW6V5s/Kz3VdiJ7q+WA5GA7AwCEr11OdhlB6BOCUMYglzeq5NS7dJvTcaxYEYTthYE22Ep0rzb/ym37aZhGInu1ZcgoByQH2xkAIHztcrLLCEKfEIQyBrm8USVjP3EqvcTc0gp+n6c7XYYoKQrA9sJAG2wluleb/5kPNtM1o3vQCJPLkFEOSA62MwBA+NrlZJcRhD4hCGUMcnmjSsZ+4uevObp44mBbiTqu93y2rDJESUEAtpenz2jv3LmT7r77bvrvf/9LWVlZdMYZZ9B1110n/p/oqquuoiVLlsS99/jjj9OoUaMobKzkg3Midxw/V/nAhAEiaAM/T5Kfk06FLTJFA6H2fVrzz75gkG6iezPlmGVhGRzNUa3MYc/RZ5fV7QwAAM72GXbaZeW7D9bU0t3n9qWKmnpL/WLsd1dU11JBTibV1DfQd2VVdLC23vS6xJajVU6m5XLY2T5+67PRzwaDmf1kdK7JKbwe+vnAH+bJThdXsmPn0Ts+zR4rMo5xo2XYne5GXfR73fJsoN3Y2EjXXnst5efn01/+8hcqLS2lm2++mVJTU+nGG29sNv+mTZvogQceoJNOOqnpvYKC2PTv0csH51TuOK3lzji3L931xpf09rpdTe//pHcx3XbmsXTLorWq5ehWnEd2cEUxU1ns5i0Mco4+GcxuZwAAcKfPSKZdVr57+ZZ99MgFg+jef6yP6xfNlkP5bru5uNftKKO/XHYi3eRA/6y1ffzaZ6OfDQa9/WT2XJMH1Vo/JJk5Po2OFRnHuNEy7E6XVc6g1y3Pbh3/+uuv6fPPP6eZM2dSjx49aMiQIWLg/cYbbzSbt6amhr799lvq168ftWnTpukvM9OfG9WNfHBO5Y7TWy7nAOzVNj/u/WPa5otGx8scdnbzFgY9Rx8AAPiDl31G7HdPGt6F5i3b3KxfdDsXN9++edcbXzjSP8ssM4Ab55oyjk83lsHrYmc6Lx910eOBNg+Un3rqKSoqir+vvry8XHVQnpKSQh07dqSo54NLZl5ZZeDGhHNkx+LXWjkD7ZTDCjN5C5Pl1HaGYGpoaPS6CADgY172GbHfLaNvTnZdYj9XnJ/lWP9s9N2J0GeD1+eaMo5PN5bB62JnOi8fddHjW8f5lvERI0Y0vW5oaKAXXniBTjzxRNWBdl5eHt1www30ySef0FFHHUXXXHMNnXLKKRTVfHBO5Y4zWm5ijmwZObPtspu3MOg5+sA9qakpNGvJBpFT2oqBHVvR+Scc7Vi5AMAfvOwzYr9bRt8sIxd3eVW9Y/2z0XerQZ8NXp5rysnV7fwy7K4rl8HossSBiNRFT4OhxeLnr7/88kt65ZVXVAfaVVVVNHz4cLr88svp3//+twiO9re//U3cTh7FfHBO5Y4zWm5ijmwZObPtspu3MOg5+sBdPMj+Zm+Fpc+E5Vl+APBvnxH73TL6Zhm5uPOy0wy+Q+5pKPps8PO5ppxc3c4vw+66milDy4jUxVS/DLKfe+458W/Pnj2bTZ88eTL95z//oXHjxlGvXr3E1ewf/ehH9NJLL1FU88E5lTtOb7kc8IFzZMfi11o5A93KYWc3b2HQc/QBAIA/eNlnxH43983DbPbNMnJx7yqrdqx/NvruROizwetzTRnHpxvL4HWxM52Xj7rok4H29OnTad68eWKQ/dOf/lR1Ho5EnhhhvGvXriI9WFTzwTmVO05vuRxVcf2Osrj3+TW/72UOO7t5C4Oeow8AAPzByz4j9ruf+WAz/WpYl2aDbbdzcXMwpNvO7ONI/yyzzABunGvKOD7dWAavi53pShTwe1EXvb11fPbs2fTiiy/SH//4RzrttNM057vppptEMDSOUK746quvVK9+B52VfHBO5Y7TW+6DEwaovu91DjszeQvDmqMPIKwKcjJEADp+Nj4Zdj4LEMQ+IzEH9j3n9hM5sCuq65IqR7LrEvu5yppamjm23w95tCX2zzLLDODGuaaM49ONZdidLqucQefZQJvzYj/66KPimevBgwfT7t274yKS8+uWLVtSdnY2jR49mq677joaOnQoDRo0iBYvXkzLly+nu+66i8JMBBJI8SZ3XFVdA9XWN1BNfSPVNjSI1wU63+eHHHZ6eQvt8sP6AURNblZ60gHo2hfm0DWjezhWNgAZfQanuOGTUA5OlJ+TQUW51j+Xl5VOmWmptL+yhvL4RDY3k7oV53ne/3nZb6LPhmRx6qqmgXROOhW2iB9IZ6enUkYa/6VQRnqqeO3F8enGMuxOZ1Gvi54NtN955x2qr6+nxx57TPzFWr9+vQh8xlew+bnsU089le644w4xX0lJici7zanBOnToQGHjVnJ3PVv3VjTLFajcGsO/5gEA+D0AHUBY+3u1z/Et4nyr+AVPfkxDOhW6es4AEBZG579+OEeHYPHsGW2+ks0DarU/xv/yIFsxYcIE+uc//0lr1qyhV199lY4//ngKGz8kd+df8hIbGSVH4M0L14jpAAAA4H5/r/U57rPnLdtMk4Z3cfWcASAsjM5/1QbZDPUNfB0MDX7gh+TufLtMYiMT29jwdAAAAHC/v9f7HPfdgzq2MlwGAFg//y2trPX8HB2CBwNtH5GRhN5+GewlqQcA8FMgNTvsfh5Adn9v9LnqugbDZQCA9fNbo/qE+ga+izoO8pPQ2y+DvST1AABBD6TGEEwN/NjfG30uKyYwkxvnDABhYXR+a1SfUN9ADUZNPqIkd+dbULxK7s5pCjjwA98mk4jf5+kAAEGBQGoQpv5e73McEG3ltv2GywAA6+e/fJeU1+foEDy4ddxH/JDcnVMYcHRFblRiKVEXnUqfBQAAEBXJ9vdan1Oijj/zwWZXzxkAwsLo/Jejint9jg7BgyvaSUo296URreTubNOucunfp4ZTGNx/3gAR+EEpA/+S5/fUBU7tEwAAsA9tdDzuUx+YMEA3Z6+Z84Tcw3m0SytraPGU4eKcQdmuMvJ0Y19BVI6H2PPfsspace6bH3P+q3WObnVbGOXqhvDAQDsJTufRS0zu7nbeviDmCQximQEAogJttNxtkniecEiulOVjX0FUjwcz66pe9+Tl6oZwwa3jPs91Hfbvi2qZAQCiAm20+9tEdp7uKO+rKIvS8eDGuhrl6ubpEC4YaPs813XYvy+qZQYAiAq00e5vEyfydEd1X0VZlI4HN9bVKFc3T4dwwUDb57muw/59US0zAEBUoI12f5s4lac7ivsqyqJ0PLixrka5uo2mQ/BgoO3zXNdh/76olhkAICrQRru/TZzK0x3FfRVlUToe3FhXo1zdRtMheDDQtkjJYanGiTx6Yf++qJYZvNHQ0Oh1EQAiB220+9sk2eVjX0FUjwc31lXJ1a2G3+fpEC746cQiJYclB0aITVrvVB69sH9fVMsM3khNTaFZSzbQ9n2Vlj87sGMrOv+Eox0pF0CYoY12f5sku3zsK4jq8eDGuiq5ujnwGT+TnRh1HCm+wgcD7STIyqOH70s+p6BaTke3ywzBxIPsb/ZWWP5c2NKYALjJi34l6ttEdp7uXQeq6GBtfVI5lKOShzmMolR3k60zVnAKr4d+PvCH78hOF1eyrX4HcnEHAwbaSbKbRw/fl3xOQb08h92K81wpMwAA+Lsfi/o2kZGnW0YO5SjlYQ6rqNRdt45VHhDbGRQjF3dw4Blt8JTVnIJRyukIAACQDBl9pV+WAeCGoByryMUdLBhog6es5hSMUk5HAACAZMjoK/2yDAA3BOVYRS7uYMFAGzxlNadglHI6AgAAJENGX+mXZQC4ISjHKnJxBwsG2uApqzkFo5TTEQAAIBky+kq/LAPADUE5VpGLO1gw0AZPWc0pGKWcjgAAAMmQ0Vf6ZRkAbgjKsYpc3MGCgTZ4SskpmNhoaOUUVPIcJjaGYczpCAAAkAwZfaVflgHghqAcq1bPm8FbuL8APGc1p2CUcjoCAAAkQ0Zf6ZdlALghKMeqrFzc4DwMtMEXrOYUjEpORwAAgGTJ6Cv9sgwANwTlWLWbixvcgVvHAQAAAAAAACTCQBsAAAAAAABAIgy0AQAAAAAAACTCQBsAAAAAAABAIgy0AQAAAAAAACTCQBsAAAAAAABAIgy0AQAAAAAAAMIy0N65cydde+21dMIJJ9CIESNo5syZVF1drTrvl19+SRMmTKABAwbQ+PHjae3atRQlpQdraNOuclq5dR9t2l0uXgMAgDMKcjKooaHR1jLsfh6iDf0+gPtQ70CmdPJIY2OjGGTn5+fTX/7yFyotLaWbb76ZUlNT6cYbb4yb9+DBg3T55ZfTWWedRffeey/Nnz+frrjiCvr3v/9NLVq0oLAr2V9JNy5YTUs37Gl670c9iuje8f2pXascT8sGABBGuVnplJqaQrOWbKDt+yotf759YQ5dM7qHI2WD8EO/D+A+1DsIzRXtr7/+mj7//HNxFbtHjx40ZMgQMfB+4403ms371ltvUVZWFt1www3UrVs3uuWWWyg3N5f+8Y9/UNjxL2mJlZ79Z8MeumnBavzSBgDgIB5kf7O3wvJfMoNzAIZ+H8B9qHcQqoF2mzZt6KmnnqKioqK498vLy5vNu2rVKho8eDClpKSI1/zvcccdJwbqYbenvKZZpY+t/DwdAAAAwgH9PoD7UO8gVANtvmWcn8tWNDQ00AsvvEAnnnhis3l3795NxcXFce+1bt2avvvuOwq7sqpa3ekHDKYDAABAcKDfB3Af6h2E6hntRA888IAIePbKK680m1ZZWUmZmZlx7/Hrmprw/7qUn52hO72lwXQAAPAumBo/550MO5+FYEO/D+A+1DsI7UCbB9nPPfcc/d///R/17Nmz2XR+PjtxUM2vs7OzKeyK8jJFIAa+bSURv8/TAQAgPMHUEEgt2tDvA7gP9Q5COdCePn26iCLOg+2f/vSnqvMceeSRtGdP/IHPrxNvJw+jghaZItohB2KIrfxc6e8b319MBwAAfwdTAzAL/T6A+1DvIHQD7dmzZ9OLL75If/zjH+m0007TnI9zZz/55JMiJRgHQuN/V6xYQVdeeSVFAacUmHXBIBGIgZ8R4dtX+Jc1VHoAAIDwQb8P4D7UOwjNQHvTpk306KOPivzYHFGcA57FRiTn1y1bthS3h/Mg/KGHHqK7776bzj//fDE45+e2Tz/9dIoKruSo6AAAANGAfh/Afah3EIqo4++88w7V19fTY489RsOHD4/7Y/wv589meXl59MQTT9Dy5ctp3LhxIt3X3LlzqUWLFl4VHwA8wkGiAKIQSM0O1BMAAICIXtHmK9n8p2X9+vVxr/v3708LFy50oWQA4GfJBpga2LEVnX/C0Y6VC8APgdQYgqkBAAB4z/NgaAAAbgSY4mevAIIEgdQAAACCKzIDbQ6gxsrLy70uCkDk5ObmikCGdutmamqqeGSkbUEWNTTUWypDUd6hHJjtCrItf9bu5/Hd0fpuu5+3+91cP9jBgwepoaHBtfoJAHLp1U2G+gng3/rJUhqVWhpy3333HZ1yyileFwMgkji+AsdaUIO6CeAt1E+A4NVNhvoJ4N/6GamBNv+qv2vXLlO/PgCAXHr1DnUTwFuonwD+ZFTvUD8BvIMr2gAAAAAAAABRSe8FAAAAAAAAEEYYaAMAAAAAAABIhIE2AAAAAAAAgEQYaAMAAAAAAABIhIE2AAAAAAAAgEQYaAMAAAAAAABIhIE2AAAAAAAAgESRGWhzuvDy8nLxLwD4B+omgH+hfgL4F+ongL9FZqBdUVFBgwcPFv8CgH+gbgL4F+ongH+hfgL4W2QG2gAAAAAAAABuSKeAePXVV2nq1KnN3k9JSaGvvvrKkzIBAAAAAAAABHagfcYZZ9CIESOaXtfV1dEll1xCI0eO9LRcAAAAAAAAAIEcaGdnZ4s/xRNPPCGCP1x//fWelgsAAAAAAAAg8M9o79+/n5588kn6/e9/T5mZmV4XBwAAAAAAACB4V7RjzZ8/n4qLi+m0007zuigAoVB6sIb2lNdQWVUt5edkUFFuJhW0wI9YTsC2BgAAAAj/eVXgBtp8u/jLL79Ml112mddFAQiFkv2VdOOC1bR0w56m937Uo4juHd+f2rXK8bRsYYNtDQAAABCN86rA3Tq+Zs0a2rlzJ/3sZz/zuigAofgVMLGBYv/ZsIduWrBaTAc5sK0BAAAAonNeFbiB9tKlS2nIkCFUUFDgdVEAAo9vtUlsoGIbKp4OcmBbAwAAAETnvCpwA+3Vq1fTcccd53UxAEKBn2fRc8BgOpiHbQ0AAAAQnfOqwA20N2zYQN27d/e6GAChkJ+doTu9pcF0MA/bGsKuoaExkMsGAIDgyQ/AeVXggqHt2bOH8vPzvS4GQCgU5WWKoBF8i00ifp+ngxzY1hB2qakpNGvJBtq+r1LqctsX5tA1o3tIXSYAAARbUQDOq9KDeOs4AMjB6Q/uG9+f3vvfbipumUXVdQ2UnZFGO8uqaFTPNr5JjxAGvC05CiYH6IjtFLgz4H1gZVv7OZVFEGF7ysOD7G/2VnhdDAAACEn/WqqxDJnnVU4J3EAbAOSqrW+gt1aX0NKNe5veG9G9NQ3r1trTcoURp5qYdcEg0WHws0N8WxP/4mqlM/B7KougwfYEAADwZ/9aYrAMGedVTgrcM9oAIA9fuZ66cE3cIJvx65sXrhHTQS5u/LsV59HAowvFv1avZPs9lUWQYHsCAAD4s38tNbkMO+dVTsNAGyDC9lXU0LKEQbbig417xXTwjyCksggSbE8AAAB/9q97QtBH49ZxgAhJfM7FKDVCWVWda2UDd1NZ4LnkYKQGAQAACGv/WqpzLhKGPhoDbYCIUHvO5c1rhut+Jj8bTUQYU1ngueTgpAYBAAAIY/9aYnAuEoY+GreOA0SA1nMu35VV0fDu6kHP+P3C3Ghd4QxKKgs1ZlNZ4LlkudsTAAAArPWvednphuciYeijMdAGiACt51y4kbvtzD7NBtv8+p6x/ejI/GwXSwlGlFQWiR2PlVQWYXjmyU/bEwAAAKz1rxXVdYbnImHoo3FfKEAEaD3nwg3ZhU/9l1658iSqqm0Qz2Tz7eJ8JRuDbH+ym8oiDM88yeT31CAAAABh619Xbt1n6lwk6H00BtoAEaD3nAs3XvUNRL3a5rtaJkgedzDJdjJheObJT9sTAAAArPWv+RbORYLcR+PWcYAIkPmcCz83s2lXufg1ctPu8kg90xsGYXjmSTYc0wAAAO71r0URORfBFW2ACFCec+EAE/zsS7LPuSBadfDJOhbCAsc0AACA+/3rvRE4F8FAGyAi7D7nYhStmpcdloYx7IL+zJMsOKYBAAC86V/bReBcBANtgAix85yLmWjVYWocwy7IzzzJgmMaAADAu/61IOTnIhhoAwTo10FumDhqdH5OBhXluts4IVp1cHh9rAQFjmkAAAD55xLoXw/BQBsgAPzwHCmiVQeDH46VoMAxDQAAIP9cAv3rIYg6DhDw51zcipAclQiRQeaXYyUocEwDAADIP5dA/3oIBtoAIXjOxc1o1YkNZ9giRAaZX46VoMAxDQAAIP9cAv3rIbh1HMDn/PScSxQiRAaZn46VoMAxDQAAIP9coh36Vwy0AfzOb8+5hD1CZJD57VgJChzTAAAA8s8lCiLev+LWcQCfw3MuYBaOFQAAALAD5xLy4Io2QABSKswc14+mvf4F/XvdrrjG7v7x/cX/N+0qt5XKCemggkVrfynPRHGwEn6OSu+ZqLDs87CsBwAAgB+YPZfwS/9bKqEcTq0LBtoAAUmpcM/YfjT1jN5UVvnDcy4VNfU0Zf5KW6mckA4qWIz2l5lnosKyz8OyHgAAAH5idC7hl/63REI5nFwX3DoOEJCUCjcvXEOtczNp4NGF1K04T7xvN/0C0kEFi9n9xR0hHyPKsZJ4JTsM+zws6wEAAOBHWucSful/SyWUw+l1CdQV7ZqaGpo5cya98cYblJGRQeeddx797ne/o5SUFK+LBj7gl1tY7ODyL9+yj6aM7k6DOrai6roGys5IoxVb99EzH2wW05V1MpN+wWj9ZSwD3OO3fW5U55yskzh2AQAAnKPVh/ul/93js3OiwA+0Z8yYQR9//DE9/fTTVFFRIQbZ7dq1o/PPP9/rooHH/HILi13l1bX0yAWDaN6yzTR7ycam94d1by3er6iulZp+AemggsVP+9yozjldJ3HsAgAAOEOvD/dL/1vmo3OiwN86vn//flqwYAFNnz6d+vfvTyeddBJNmjSJVq1a5XXRwGN+uYVFhlY5mWKQvWzj3rj3+TW/X5CTKTX9AtJBBYtf9rlRndtZVuV4ncSxCwAAIJ9RH5+Xle6L/jdfwnmA0brkGkwPzUB7+fLllJeXRyeccELTe5dffrm4lRyizcxtH0FRU9/QbJCt4Pd5usz0C0jhECx+2edGdW5fhfN1EscuAACAfEZ9fGZaqi/63yIJ5wG8LnzXqBp+n6fbEZhbx7dt20bt27enRYsW0eOPP061tbU0btw4uuqqqyg1NTC/F4ADvLqFxYl0AkZlraiua/q/lVROWmQsA9zjl33Ox2uLzDSaNLyLaiyBsqofjlOn6iSOXQAAAPfPq0sra6T1v6U2zqV5Pv6+9/63m4pbZjWdi/BddaN6tjG1nP2VNfSrYV3E/2MvdPEgm9/ndSXKpdAPtA8ePEhbtmyhF198UVzF3r17N91+++2Uk5MjbiGH6PLiFlKn0gn89bKhltbFTConIzKWAe6Rsb84fOTp/drSJSd3Fh1TVnoq7TpQbfrzBTkZurEECnLcua0Mxy4AAIC759W5WRlS+t8SCefSjUT01uodtHRj/DJO6dnG1OfzsjLogic/FhcOJg3r0nROtHLbfrp2/kpaPGU42RGYgXZ6ejqVl5fTQw89JK5ss5KSEpo/fz4G2hGn3DoS+6uak7ewGD27wg2PUUOjtYwPv95Lw7u3pg9Ubh/XWhf+LrsDCxnLAPfY2V987N2gcuwpx5iZ45efWdKKJcCD+PvPG+BancSxCwAA4P55td1zkRtlnUtvTH4ZvC5DOhXGXTSQeb4SmIF2mzZtKCsrq2mQzbp06UI7duzwtFzgvWRuIbV6q0rs/DmZaY6lE+Dbbuf8v+PoZ/3bJX0bDHjL72nmuGzrdpTR05cMoeL8LCqvqqeW2elNAczMHL/lVXWasQT4R6LKmnrc1g0AAOARu7dkO92H77GQVsvJNGNOr2tgBtoDBgyg6upq2rx5sxhgs6+//jpu4A3RZeUWFqu3qiTO/+iFxzmaTqCRGumt1SW0NGYgY+U2GPBOENLMHayppb9cdiLd9cYXcYNlvpOC36+skZMOo1txHm7rBgAACOC5iN1HzGTFVypxIc2Yk4+hBWag3bVrVxo5ciRNnTqVpk2bJp7Rnjt3rgiGBmD2Fhart6qozc+NjVMplvgZkac/aH5LrpXbYMAbMm6DciuF3E0L1zQ7xvhK9PQ3vqCZY/tJi4uA27oBAADcI+uWbLuPmMk4jyg1WJfbzjzWcBlmOXW+EpiBNnvwwQdFHu0LLrhABEG78MIL6aKLLvK6WBAgVm8zUbvNtlWLDJo5ti9Nf3MdHaypb9YA5WWn06Zd5bq362g9/8IRnNWeE9EqH/iHjFuY3FBRU6972zdPl/X8Ft+Ozqm+OAp5fk46FbbI/P/t3QmYFMXZB/B3d2fvZZd1OQRERQ5BWHDFmyUEjBeeeEVjEhGNRkWTqOHUoKIi4JEoUT8PPBKj8YKoMV4QDZB4Aeoih1yKCnIJu+x9fs9b0GNPT3dX905PTx//3/OsMt093TUzXVVd3VX1UtfCHAc+BQAAACTjWsSN65lOBVl04oAudGi3wrjoJWu2VIn1VsOMOTEfTLKG/fmqod2hQweaNWtWqpMBPma3m4lRN9vhfTrR3EuOonFPfRRtbHOmvv3sQTR1XgW9s2qbaXcdozEhMskKVQb+DTNnlyz0lmy9cv7yuT5lXkXMxH3c/ZyX8/pNO2tosubJOa+/c0wpHVjS/lAZAAAAkLxrETeuZ4ryssQTab5OUD9gUq4TeP2GHTWSdDRKr0VSPezPVw1tALdDgRl1s907w2Eb/fPacqqs2zueg59kaxvZZt119MaEtLa12UofhDvMXHsU5kQSWq/c+b3ttZV0+IHFIs6kOhzG9NdW0q1nDYprZDOuCLlCvOeCw/FkGwAAwIPXIm5cz1TWNtLU+St0rxNumr9CXB/L05Flei1y9/lDHB9Sahca2hAqdkOBmXWz5cnKOFNzBmfcXVzbyJZ1tdGOCeEM72aoMvBvmLn2Ks7PMgwhx8t5vQyfy3yuG53v15/UZNo9nbuTo6ENAADgvWsRN65ndljoni5LR2NLq+m1iBe6yaOhDZ5mZ8yE0XhQ7fI7zymlu15fRa9VfCedxt9ON1snutq4EVIBksPqb+fEOCDZ2GezY/B23C1Lr6sVL1f2Y7YP2bleVddkKd94PRQaAABA2EJzuXEtWlXfRHlZGWISYO0YbQ51q0Qv4eO9+8V23ZC3W6rqLV93G103JbubPBra4Fl2xkwYjQe9Y0wp3frq57Rw9fa45TecdGi027fRNP6cGc2o1zvV1SaZYQYguWS/nRPjgGRjn60cg7fj7tvRSicnIp5kK41s2T5k5zpfGJivj/giFBoAAICbnKgbnbiOTHZ4r6LcTLr/ojJ6YsnGmDHaw/qUiOXKdQQPqHz9sy37hmzGhrzlfVi57ja7bkp2N3nzOEUAKSIbM8Hr1XepjMaD8pjpw7oX6S7Py46Ibt98x8yo8OEMyJlRDy9XZ1Cli4seu11tOD2cLln6wHuMfjs757QRs3Odn1DrVdBGx+BGdf9uhXR0r/3E/9VPsmX7kJ3rXPnJ8k2i3wUAAECQOHGd4MR1pBLea/LLFXTZUx/T1c8sE//n1xMdqqPzsyOika29nuHXTy7ZKNZHvw9VI1v9ffA2sutu2XVTblaGY9fuetDQBk+yMmZCwU/ljMaDLtu0m046rKsIz/XgxUfQ3LFH0fhRfcTy72saafmmXbR+e7VhoVHf1EJjh/USd9jU+DUv39PQFN0H4zuO2gyLbt9g95w2Ynauc6XBPTSsHoMrn9VbqujDjd/T6u+qxGur6VS6lRmd63w3ne8Uaxvbyh1kzleJfhcAAABB4sR1glPpUELbvnrtMHr2V8fSa9eWi9crt1Q5ko7q+mbT6xleL/s+eBvZdbfsuomf+Cfz2h1dx8GT7IyZMBpHzWM/uPvJ7DdWi4nLtN1SeBzpTx9537RbDjdcrnt2uRhDMk4zoyEv5xkN+U6fOlOi2zckL+RGc0L7UNabdaOymk5Z1zSz7ul8cyqRzwEAABA0XgkTahTalq8TeHldY5Mrn7VNsg9lHLfZtYjsuqmyrpkO3b8wadfuaGiDJ9kZM2EUjogbx0bdUtitZw6UTuPP6eA42erxI2rc6FbvY+K+fXDGB3A+5EYkoX3welk3Ko5raYa7ahnNmq/FjWq92cX9EgoNAADALV6pG41C2/J1wvTXPqcZY0oTPkaB6lrC6FojPY1Hisu/D7NrEashTWXXM+2FruPgSXbGOyvhirR4FkOj7iK8vK6pRdotxywd/GScn2zL9gHg1Bh+o3Od8XIeGy07hqwbVWZGetxQCQUvz8pIvNpwcj4DAACAIPBK3WgW2pavE3h9orIsXGu4cd1kJaRpIvBEGzzJLLTArHMHR+NWK6EP+O7aLa9+TgtUs4vLfLurXtotxygdXAhcOqyX6D6u7a7e2tYWkzaELAKnwmXIQnNxd27ZMdZs3TufgJGd1Q10WXkvcRdWPeRiOJ/z5b2oso5vJOVTIjgdZiE7kF8AACBsvBLi1U5o2/baXddIl5cfQqeVdhPXNsp1wHeVddStKFdcaxzUKT/hsKlWQ5omCxra4FlGY0D5Ttr4Z5fHhT64fUwpTTilWYy34K4gsi4nmRlplrrlaNPBBcFrFVtEI5u7lWvHhN/26ucxDRSELAInQ27IQnPJjiHtfp6bSdUNLSKsx1jVvATcCE6jNCpwqOuaWcgOAACAMPJCiFer3a0T0SEnk3bWNNLrFVtiGsDKTX3lWsOJsKmy66ZkQkMbPE07ZsIs9MFN8ypEZjx0/x/ucHFmU98FM+v2bdYNRZ0O3u9nX++OaWSbjQk3Gv8N4eTEOCCjsc9WjqF0o1JXbApe3iE7QtMXb9DtNsbrubJKlCxkB/IKAACEVbLGC1slu05wort1fnaEHl8cf83MD6r4Rrz6WsPo+5CFQ1NfS8ium5IFY7QhsKEPlC44wzXjO/j1taP60tzFG9vVLccotNHxh5QYjmnB2G2wgysPHn4gCz/XHko3KuPQW63SkBuJptMrIUwAAADA3nWC0mBN5Fql2kJ4ryBcS+CJNgQ69EFLSyudOmh/Gnv8wdEusDwG9YCiHHp1fHm7u+XodWXZO3bVetoA9FjpBpUoJ0JvJZJOr4QwAQAAgHiy7taJXqtUORLy1PvXEmhoQ2BDH/CYUr3wBOousImE4dJ2ZeG7elbTBqDHTjeoRCUSeivRdHolhAkAAADYu05w4lql0IHrACshwlINXcfBV+xM9S8LY8TrU5U2AK92g7JyHieaTuQVAACA8F6rdHLgOsBKiLBUS30KAGwwGh+tN8baKPwAzw4+flQfamlrszyuxMo4FDtpA0h1Nyju8bF6SxV9uPF7Wv1dlXht9TxONJ3IKwAAAP5k5xqg0uD62YnrAA4RxuFIeaZyNX7Ny2VDOt2Q+mfqAEkKfaAXfkAJwcWzg89ZuM7SuBI741C8EJYB/MutLtWbdtbQZM2wCmWSEx6XJQ8Rlng6kVcAAAD8x+o1wGbJ9XOi1wG8/fc1TUkPR5oINLQhsKEP9MIT2A3B1Z5xKKkOywD+pXSl0gtJ51SXaq6AtI1sxvlkyrwKMXcBj8kyO4+dSifyCgAAgL9YuQawev1clMB1AI/BfizJ4UgThYY2JA3fyaqsa6KquiYqys2kwtxMcfeKMx/fveKuJ7ys0754fNpldjOe3n5njCkVjQqlsV3Ws2PMk2y9cSXq41oZh6JNp1460JgAK/g84S5T736xnbp0yBZ3Z3MyM0TjeGS/ztHziF9HZwLNjVBx3g8zgcrw+5Zv2i2GT3B+UI6xbNMuEfKO1/O+zM5jpcsXV5bqihZdvwEAAJJPdq3pxLWo0T6sXKtwd/FFNq+f7bISIqxroflnSTY0tCEpvtpZI56OqTPACf070x/OGEg3zV8Rk/k4rvU1I/vQuCc/otrGlnaFMzLrnnLvBYfT9/saJWmS/WjHltodi+pGaCYItsaWVnr9s820SJV3eLzR8b1LLHX7lqluaNYdPsETh/ByXm/lPOa8xN21LlGFztu2p8Gx7wEAAADiyepoJ65FZftoMrhWGbbvWsWNOWeqLB4jldfmmAwNHMcntLaRzQZ0LxLLtXe4+PUDC9eKbt3ariWyScqYrHsKNwD6dyuko3vtRx3zMm2FArAzFlWWDiufBcJNyTvqiovx66nzKuibXbWm3b6VCc3MlORn6Q6f4Ne8nNfLzmP+m/DSZzT55Qq67KmP6epnlon/82t+L851AAAA58muNfk6INFrUdkx+FplssG1inIt4kborQILx0j1tbmvnmi//fbbNH78+JhlJ598Mt1///0pSxPEd8ng7iN6XTnMum3z9pNO7U+HdSuM6cZqpWsJb7P0q12GXWHV+1BCAeilTy8UgJ2xqO3pZg7ucavbUCLdunmohVk3qD2SblJKt28zTS1thvvg5fxE3UrYDpzrAAAA7pJda/J1gNX62ei6SHYMvlaRDUHLzcywdb3dHlau6VN9be6rhva6deto5MiRNH369Oiy7OzslKYJ4rtkPPurY3W344xo5uvv68STMXU31poGedeS6oYm066w6n1wKIBLh+19cq7OmLwtL98bCuCH7rec+W4/e5C4Q7dY01WXl8eGE3MvNBPY41a3oUS7dfN8Bmb2SNYbhbRTq2k036ayrll6HrdJjoFzHQAAwHmya03ZdYCV7tRWrmdlQ9CaWlroD6cPpOmvfR53/czDSPfUx15vt4eVa/qWttRer/iqob1+/Xrq168fde7cOdVJgX30umQU5GTobstduM2o1ysZ5s6zS6Vp6JibRbPeXKPbFVa7j4LsTLro0Q9EN/VxqlAAy7/eTdc9u5xeHV8e9/lue20lHX5gsci06u2nv7aS7j5/iKMhj8B57Zk5PpmzeZvhO8pmOkjW64W0s9vVSrYPK+cxznUAf2ptbaP09DTf7BcgbKR1eK68DpddF918+mGSY2TSnxasNbzuvv2sQZSelka3vva57vXzXf9aRdNOH0iJsntNn4rrFd81tI8//vhUJwNU9LpkbKtqiAurxfjE11uu3H3i9XrdWGV4G1lXWAV39T7yoGLdLux6YYn4872zapv406PucuJGaCawz61uQ9xVKtFu3Tw7v1Ee4eUdciKm6zmkXaJdrfKzMiydxzjXAYKHG8M8Z8q3u+oc22eP4ly6dlRfx/YHEGayOjwnki6tn2XXRXwMs31kZ6SbXnfzELW0tDZauHq7+NMz+VT59b2M1Wv6VF6v+GYytLa2Ntq4cSMtXrxYjMv+yU9+QnfffTc1NmLSHTfxXTCesn/5pl20fns1tbS1UV5W7BNsvkt28+kDxYW/2qrNlXTHmFJxYqspXTx4XIeasl/18fQmLeAuKmZqVOuVsETaNBiFJbLTHdzuvsEdbnXpl3XXstKtm7uxcx7hmTvV+DUvP6A4T3RD11vPy62MBeeuVpeV99LdBy/nrlay8xjnOkBwcSP7y501jv052WgHCDuluzRfO+tdS/MQNFn9LLsuUq4DOCqQ2vB9+5C9v7axWVyb52VliHHcj19yJD148RE0d+xR4jUvV1+bt5eVa5FUX6/45on25s2bqa6ujrKysuiPf/wjffPNN3T77bdTfX093XTTTalOXijojefgTMfjMbiLhhKai++UXfzY++IEnnraYaIhw10z+GkdNyS4qy5vw8t58oTXKrbEvJ9xJuT93vbq5zGzGuqNq7XbZVubBl7Pd7T0MpvdfSPkkfe41aVf1uXaSrduxneSR5d2p7GqblB8DikTh2QarOflVvDn/b6mSZyn6n1w1/c0SqO87ExL57GdfAQAAADkSndpWf1s5bqopaWVTh20P41VXwdU1VNzS6tIg+z9aWlkOo5bNlTOKivXIqm8XnGlob1lyxbx9Hn16tXU0NAgnk6rLViwQLqPHj160AcffEBFRUWUlpZGAwYMoNbWVvr9739PkydPpowM/XHB4Ayj8Rz8mn9PzvDqjMQn81P//XLv+Ndu+6LF76PcYVL2+9nXu2Ma2Yz3pxeCSG9cbW5Whml3Wl6vpU6DGTvdwZWQR4sMtnVqLDDY41aXfq40zM5DK5WK7Byaff6QhM8xDnfx2OINut2+OJ2zzrN+DKv5CAAAABLH17RHHKgfxUd9zWtWP8uui7IzM+j3L35qep0gu66qb241DCXKN/N53hqnWLkWSdX1iisN7QkTJlBlZSX99Kc/pQ4dOrR7Px07dox53bt3b9Fw533vt99+DqQUjJiN5+CGxdU/7hOT6c26ZKjDCfBT7hljSuk/63ZQlw7Z0RAB+xdmx3UlV3DG5qdryj746feNJ/enNlodN+sgP7Hb2zW4fTNLK11OuHGvLlD483FX3Z01jbRhR41oREXS0kSYMaM0I+RRapj9hk52G2poahFDJoxm2OT1ToTtsBrKzkh1fbNpWA7OU4mGBgEAAID2Matb+ZqWr235kWV7r3ll10Wy8F18DNl11Y5t1abz1vC1SNfY53CB5EpD+9NPP6WXXnqJ+vZt/2QYixYtohtvvJHeffddys3dewKtWrVKNL7RyE4+2XgMzoALrh8h7ZKh7X7OjeQnxh5Fr3+2hRatM++Srrbp+1q67KmPo69H9e9ME0/pLwqm+qaWmG40T156dEKfXa/LSU5mOk175fOYSdJkaUbIo9Rxo9vQ7rom+tXTH4tKZuKp/am6vkXMwM+TA/7s0ffpsV8emXA+4zFPVkPZGe9DEpbDgdAgToZMAwAACAtZ3cohOPk606jruNVrXrProm9315leJ+ypb6ZD9y80va5CyFsXG9oHHXSQeOqciLKyMhEzm8djX3PNNfT111/TrFmz6PLLL3csnWBMNp6Dn0z37lJgu/s5FxT3L4wPEcDbtOp0STfCsxpyYVN2YPzsg1bHxprRdncf/+xy3W70ZmlGyKPUSna3Ic4jXOGobwDZ/f1l+awkP4vue+cLw5Aad5w9KOFweByWI9HQIBgmAQAAYI+VupWvaflhjtG1sZ1rXqPrItm1hnKdYHZdhZC3SZ51/KOPPor+nXrqqaL7+AsvvEDvv/9+zDr+s6KgoIAef/xx+v777+ncc8+lqVOniq7oaGi7QxnPocfqOFe9brHcJcUsRACvtxIKzGh7qyGP7DDr3muUZoQ8Cj4n8ohsH7JQdjwmSka2Dw7LIfscVkKmAQAAgHVW6la+ptVG9XH6mrdBcp3A6924JgqCpD3R/sUvfhG37Oabb45bxhObcRdwK7jr+RNPPOFI+sD9ca563Uj4KbQd3D2bZ0Lm7jF61PsrtxHyyM54Ge6iw+NWeJyKXhdxLeU7UkKVYTxrMDmRR2T7+FoSJqeqrlk6vksWDo/DcvCx3v1ie8y8CTwr+ch+ncV+eF4CK13CMIYbAADCpr11n5Xu1tx7lOc2WsxzGxXm/FBHV9ZReZ9O0WveROpfDhGWyHo358cJbUObZxiHYEl0nKteNxJutJopyc8W8feUMSjdinLovIf/Z9jAPbhTPj37q2PF2NiahpZoSCSnx8so41T0xmMfuF9e3Hh13kbb3RzjWYPHibHgZvvgCUrMcJcx2fguK925eJIV7bwJvI8R/TrvO458HxjDDQAAYZNI3We1u3VGRjq9XvFd3NxGIw7tknAa1Mdp73pFd4QBTV7XcbUTTjiBdu+O7+q7detWOu6449xIAjiEMwffTTv8wGLxfzuZRa8bCXcB50arHn4i/c7qrWLM69XPLBP/f33FdyKsgR7ez+sVW+iiR9+nMx5YQhc+8r4IU8R39ZweL8NdZ3iSCB6Prcafj58Cqr8jNsFkzE0i6YNg5RHZPpQQYnp4eYeciOn4Lj7XZN25CpR9rDPeB29jlg4OLyJLBwAAQJjGWMvqPiVcrVndGj2Gpo5etO8Y3Pss0fqX510ySwevd/OayM+S9kT7jTfeoPfee0/8+9tvv6XbbrtNTGamxssR/zo89LqRcPfruWOPovS0tJhCge/MXTrsYKr4tjL6RJu7xlR8u1s0bnnIgfYJ86XDesV1KTcKq2XUpUa7vLW1zXQ8Ns/4KOsOY2XMTdgKHkhOCLGaxmbpucYVnVl3rpoG+T7S0kgaXgTnPAAAhInV6z2ja1CuOy8rP4RGl3YTXcCVa9/vKuuoW1GuWF/X2CINA5po/ctPou8YU0pT51XEXWvwcvRK80BD++ijj442tFlbG1+SxY+55pBdEB5G3UjmaJY1t7bS5t319OHG7+m+t9fGXMgP7tGRbjptAEXS08X2WZF08aTbalgtvS41Jw7oQjeffhhNnb8iZjk38s3wXb35Vx9v2h0GIQ7ArRBiD1481NK5lkZEp5Z2E/MdKMMyODa9ehuzfXBpnkh4EZzzAAAQNFau98y6dXPYrDZqE70z1Q3c4fwwqZxvYjdTRnqaJA3WQnTKHFSST7POGyKGrCnX5nzNi0a2RxraHNt6xowZ4t89evSgyy67LBr/GsLNKByAetnG7dX02OINpqEFenUuiE4wZhYCTD2WxKhbz6HdCmnyvArDWRaNFO/rEmMGIQ7AKQXZEdMQYrKwHvnZEZEH9IYyKJX9dAvhvVgi4UVwzgMAQNDIrve4Djbr1n3rmQN1w2otWreTWvdd+za3tknS4Fz9y41qNKx9EEf7gAMOoDfffFN3XVZWFnXu3JmGDBki/g3AOMSQLASRQhlzqu4GaxRCwKhbD4fk0ms0KGPI9dJiN2STlfQBmOHJ/YzOR16el5Vhup7fL+vaxuG/rJyvZttweBGc8wAAECay6z2ug83qX1lYLb725d5jZvV8flYG6t+wNbRffvll+vjjj8UY7V69eolu5F999RXV1dVR9+7dqaqqijp06ECPPvoo9e7dm8LO7ZA4do5ndWyz3TTz5A08roS7vBTmRsQ4UTMcokgdKmvGOaV0yyuf09urtpmG1TK6E2gUZozHkPPs4tox5E6GbMJY1WDlq2QeZ3ddI11W3kvMYsl3uLXdynZUN9Dl5YfQaQbjuyrrGkl1j0oX5z0r56tZCDA+tpV9IPwXAAAEhex6b9ueekshOs3Cb3LwkV+P6K07t9GVPzpE1POyEJ0K1MEBaWj369eP8vPzaebMmVRYWCiWVVdX05QpU8TT7htuuIHuvPNO8ff4449TmLkdEsfO8Yy2vf3sQXTbayvpHU0j12qaN+2sieu2/czlx5i+p76phc556L8xx+OY2ZNHDxDx/YzCahmNuTYKM8bv5zGn/7puuGikJyNkEwQnXyX7OHzefF/TJMZXj1WNjeYKNI3SKD8nIsZxG43vKuDQXW3yY1g5X2UhwGT7QPgvAAAIGrO6zyg0rZ1u35E0oo65WXTqoP1prHqelap66lmcR2ltbdL6maEODlB4r/nz54tJz5RGNisoKKDf/OY39Pzzz4uZx3/5y1/SsmXLKMwSDQuQzOOZbTtlXgX171bYrjRzA0FvbPT/Nuw0DS3w3w07ddNRkp9lGlbLKJwYLzc63pEHFVPHvMykhWyCYOQrN47D47t47oIp81bEhL3j148v3kAFWRF6fPHGmEY27Xv6zb0z+P1WwofIzlej8CLaz2q0D7fLOgAAALcY1X2y0Jj8VNks/CY32DMi6TRlfkXcdcDkeSto6vwKSo+kS+tn1MEBe6Kdl5dH69evj+sWvmHDhui47NraWsrJyaEwczsMlNHxeJzn4J4daUtlPW3YUSMyfiQtjZZ+tUt3P3xRz6G12pNm7i6uN85E6bKdptM1hmdK1obxsppmZb9Mfdw1W6poxphSWrx+Z1xXm1H77gCqu6qje00w81Ui3agSDethRXV9s+H4Lc6HexrM1/P7eUZ/WWguolzTdCZaViHkHQAABJVR/clDs8zCd3EIT36irG0ED1cNu9pcWW9+HVAvD9HJUAcHqKE9btw40U38iy++oEGDBokx2p9//jk99dRTYjby7777jqZNm0YjRoygMHM7DJTe8bjByg3RJ5ZsjJkcjDM5LzcKoWU0xlmWZqMwBEqX7ZevOp4yM/aG8eIuMy1tbXT2n5fEpMFOmpX9cliiqaMHUGNza7RbT01ji25Xm2G9S2jqCyva3TUe/JGvEu1GlWhYDyeOIRvfxWlobGmThuaSpTPRsgoh7wAAIIjM6s+ahibT8F11jU0USU/T7Rbe3LL3OpuHR5qRrVdCdMq2AR81tMeOHSvCff3tb38TY7AjkQj16dOHbr31Vho9ejR99NFHVFZWJrqSh5nbYaD0jscX39xgjQstsHYHtba1ifV6s3MbjXGWpdlsPIrSOFaHz+KnytqGvt00K2GJxhzegw7rXiTtCstd0rn7j7qhrXSv4XE4uOvn/3wl60Zl5XdONKyHE8ewMr6rqbXVPDRXrjydiZZVCHkHAABBI7uWuOPsQXTXG2sMw3fdNaaUJhmEmuWu5fdccLh4Qm5Gtt5K/Yo62GcNbXbmmWeKPz1HHXWU+As7t8NA6R3PKMwV44zPT8D0Mj8/DWtPmjkMEL9fO6ZU2S+v16b5xAFdRNxrTivf7Ttwvzyxbvmm3XGNcE7z737SL7otd9FZtmmX6CpuJexXol3jwR/5yomuzImG9XDiGJxftPlDe87vqm00DQ2SbSGdiZZVCHkHAABBI7uW4J6TfK06flSfuDqahzZWN7aYdgvn4ZYd9o3zNrpu5vWJhuhEHeyzydDY//73P3rkkUfoz3/+M82ZMyfmD2LDAmgnQkhWGCi94xl1ATeizPbNF/HtSTOPUeH3ayeH4Ne8nNdr03zz6YfR8k27opNAnP7AYvGau4lzN3Ktyrqm6LbjnvyIPtm0S+xDnTZZV9b2do0Hf+QrJ7oyy47DobmSfQzOLzdp8odyzvNyMUa8rkncONJOCsivefnOGnk6Ey2r3C7rAAAAkk12LcGhaflaVVtHK9ew3LXcfP/NdEBxHt1hcN3My3m9rH5FHRywJ9p33XUXPf3009S/f38R5kuNJ7uC1IWB0h6P76yZ4afHC64fEZe2u88f0u40H1iSL7rDRONo50TEkzltI1vpljN1/oq4O37Ka6Ou7Wp8F/Cm+StiuurKurK2t2s8+CNfOdWVOZGwHk4cgyfvm6rT7YzPeV7O+awgO5MuevQDwzHaPC+ClXQmWlYh5B0AAASJ7FqCI+Pc984Xhtew088aJNn/3mbbQSX5oqHME58p9Sc/yeZGttX6FXVwgBraL730kmhsG3Udh1jK3aZUHI8bsmbdSXhGbr20JZpmblTrNaztdMvR69o+zKBbu7arrllX1kS6xoN3mJ2jTnZlNjqOG8fgm1V63cnU3c66FeWIkHV6N6SU7udW05lovne7rAMAAEgWWT3f2NJq2DWclze1tFoeTqk0qhOpX1EHB6ShzXGyBw8e7MahIEFKdxKetEFdUHABMevcwYZhrvhJWvSJdG6EivP0n0izRMIb2enibRQKTK+rrtnnvv3sQTT9tZUx70X3mmAx+/2d+p3tHKO9ecRoFn/1+v7dssTx3v1ie1wou5H9Oot8m+zvAgAAIGi4fjSrXzftqpNGDuFhkzwJr7qxrTecMpFraQhYQ/viiy+mBx54gKZPny5iaoO3GXUn4Ukcxj+7POaJ8uml+9PvT+kvCoUlOoUCdwtXSzS8kaxbziGd8mn+1ceLNIsQCfcvMuyyq+2qa9aNJpGu8eAPbnSjsnKMRPII3+Sysp7vmr/+2WYx06k6vAiHsrOaTgAAAIjFobP0QsWO6NdZWkd3yI1YGk6Z6LU0BKyh/eGHH9Ly5cvpjTfeoJKSEsrMjG3gLFiwwI1kgA3a7iRGIQvGHHFAXCOb8Z04Xs6FhVI4OBFCSdYth7vFqrvBcxdZO111jbrRoHtNOLjxO5sdI9E8wjeizLqd8Xq+sz5ZJ88u0uRZnPMAAADWmYWK5Tr8znNKzWcMz45Ih1M6cS0NAWton3POOeIP/MtobHSXwmzTUAXf1zSKO2/crSWSlkZLv9qVUHgjO91v3egODOAkq2HGjLqM1Te10NhhvcQddXVDmucq4OW8vrHZeIyYMo7bynwJAAAAQZNIl2xZHc6zjl9WfgiNLu0m6lnlmvm7yjrqVpQr1id6DISdDWFDe8yYMdF/V1ZWUocOHcRs45hx3D+MxkbXNrSIkARPLNkYM7kSX9jz8qq6JvrpI+9Hx0zzMh4zrded22qoLDvdWtEFFvxENgcBh/4w6zLG5zjnL6MZxf92+THU2NImSYO8ogcAAAiaRLtkS0OF1jVRG7XR6xVbYp5q89CtS8t7iVnEEz4Gws6Gr6Hd1tZGDz/8MD355JO0Z88eevPNN+lPf/qTGK990003UVYWGj1eV7CvO4tWSUEW3b9wrWGoglvPHBhdxgVXa1ubYQguO6Gy7HRrRRdY8Hs+U/DddbMuYxwahG9iGYW44zzW1NoqOYYr1QIAAIBnONElWxreqyCb/rhgre7QLa6Zb5eE97JyDISd9Rb94MAO+/Of/0yvvPKKCPGlNKr5KfeSJUto1qxZ7drnFVdcQZMmTXI4pWAkKyNdPKXWqmtqMQ1VwOu1y7iLuRZCZQEY5zPGy+ubW027jHHoEM5LepQ8lhMxPwavBwAACBMrXbJllHmE9PBynojU7JqZ6/BEj4FraW9x5Ypq3rx5dNttt9HIkSOj3cWHDRtGM2fOpH/961+29/fPf/6T3nvvvSSkFBQ8YdLqLVX04cbvafV3VdTY0kKXlfeKu0DfvqfBdD/ctfzBi4+guWOPEuO487Iy4rY5cUAXmnFOqSjElm/aReu3V4s7i4z/z+HEtMsB7LJyLjlxvsn2YbZ+d10jXTosPp/xa17OoT/M1DQ0iy5u2kpYPS9BZV2T5BjodgYAAOHiRJdsZW4gozq4UlKHy+p4K8dAD05vcaWP4M6dO6lLly5xywsLC6m2ttbWvnbv3i2egpeWljqYQlDbtLMmblbi4X06iS7fRx28X8zYT1kXFp7Y4epnlsWM2z6oJI8WXD9CFFrcFZaf4k16uSLmTiI3vm8+/TCaOn8FwheAK+OunAiXIduHbH1BdiZd9OgHhmOsX776eGmXMdm8BLJjvDq+3MY3CwAA4H9Odcnmx4mnlnajS44/OFq/btv3UMpKeC8rMP+Qf7jS0D722GPp8ccfF0+1FdXV1XTvvffSMcccY2tf/BT8rLPOom3btiUhpWAc+meHmMDh8AOL6bKnPo4u56fURqEKuGHNF+8K3icXQNqQX9rY3OzQboW66UD4AkjGuCuW6Ngs2XFmnz9EegyuKDkknd4Ya26Qy8J3FeREpPMSyI6BbmcAABA2XH9aqV9l1wETdOp5pX6VhfeSzdOihvmH/MGVhvYtt9xC48ePF93FGxoa6Oqrr6bNmzdT9+7d6aGHHrK8n//973/08ccf06uvvir2Cc6HJuDQPmahf67+cZ+YC/Q1W6rozjGldNP8FTEhtJRuqPyETLuP6vpm6lpoPiaGx3EbTeiE8AWQjHFXiYbLkB2H85bsGL27FIiuX+9+sZ26dMiOhv7gG2Aj+3WmWkn4Lu46LoOwdwAAALG4/rRSv5pdY1sJ72V2DCW8VyLX8RDChvb+++9PL774omgob9iwgZqbm6lXr15UXl5O6enWholzA33atGn0hz/8gXJyEOM1eaEJ5Bfqj19yZEx3GO76re7CkhVJp9dXfGcpjJfRmBjevxmELwAnx12ZB7yydr7JjiPLW8oxeLKU1z/bLGYhVYf+GNa7xFL4LivQ7QwAAOAHPH+JWf363K+OkV5jS68DJMd48tKjHBnGBt7hahyX4447Tvy1x5w5c2jQoEE0fPhwx9MVFM6EJjA/JXgWcXXXcaUA4H3z0zi2dusew6fRLF/VNcZoTAwXPGYQvgDcHHdlZRtpaC5J3uJjGA/d2ElT5lXQ7WfLw3dZhW5nAAAAP1wrmNWvRblZ0mts2XUA19GyOjzR63gISUO7f//+0RnGZVatWmVppvEdO3ZQWdne8ZSNjXu7e3JM7uXLY7snh5WVLrKyDFqcn2V5zLXRvpUQRXpd0Hk5r9eGKVB3YWV8HKN0YBwp2GF0jmnPJSvbmJGd9/lZGdJjbKmsNx26weG9Ek0nAAAA2LtW4NBbsmtsK9cBZmO0eX2i1/EQkob2008/7ej+/vKXv4gu54q7775b/P/GG2909DhhD03Ak5TxmOup8ypiu6727USXDjuYxv9tuXTfSogi0hmDwssr6/gmSb7peFGjsd8YRwp2WR2TbGUbs3FTVs572THWbK2Whv7A+GoAAAB3rxW+q6oXIWq52zfPI6TMobJs0y6au3ijuA7m54tm1wFVdY10x75rbHVjmxvZvHzv9bExDJv0n6Q1tI8++mjb7zniiCPoH//4B/Xs2TNuXY8ePWJe5+fvbagddNBBCaQyWJwKTZCZkU6jS7uLiRnUY7HTxJzh8n3bDR9kNl4U40jBCVbGJMu2STQ0F5/3smPIupfzeoyvBgAAcJ5Z/cpDJzlE7RNLNsZ0/VZC1/LN97Y2kl4HHFSST7POGyLGhCvHKMrdG5pz/TbzGWMwbNJ/XB2jLdPGZygkvYtse0MT8B03Ljy0Y0u0+25P+CCj8aIYRwpOsXIuGW1jZf4Dq+e9WTrMhm7wcl5v9bMAAACAPUb1K88vxI1sbbdwdejanEi6pesAblTrTWzmxHU8eIu1Kb896K677hJ/EN/thTOjmp1upXwXb+lXu0R8bJ5d/MGLj6C5Y48Sr5dt2k3HH1Ii3bcT6QDwErN88fFXu6LjphI975WhG9yoVuPXvFyJPw8AAADO4xvr67dV0/JNu2j99mrxmnFoWrM5VHh9otcBuH4OHk890YbEJdqttLqhybRrDI9PWXD9COm+0b0VgkSWL2oamhw77w8syRd3xjnuNocE4+7i/CQbjWwAAIDkMRsixtcBVsZPJ3odgOvnYEFDO4AS6VbaMTeLZr25RrdrDLvz7FI6qFN+0tMB4CVW8oWT5z03qtGwBgAAcIdsiNj0swZZHj+d6HUArp+DAw1tiMHhC4y6xvByntiBu9TozboMENZ8weu9xGx2dAAAALAXIpfreafGT6OODg9PNbStxt2G5Klu+CGEmp5vdtfSuCc/1p11GSCs+aJGst5NstnRAQAAwF6IXK7nnQiviTo6XDzV0Mas494PEab9idSzLuNuHASVU6Hzks3K7OjIpwDgJg5d1NraRunpzj9MSdZ+IXys1POJjp9GHR0+SWtob9682fK23bt3F/9fsGABdezYMVlJAgvMQgvwxE8cC1CLt1VmXQYIIr+E3JB1fUM+BQC3cVgkbgw/sHAtfburzrH99ijOpWtH9XVsfxBuVuv5RMZPo44On6Q1tEeNGiXtCs5PsHmbVatWidf77bdfspLje26N51BCC2i7xgzv24kuOf5guu7Z5XHv4ZnIW9vaMHYbkiqVY5qM8kV7Qm4k83PIur4ps6ICALiNG9lf7qxJdTIATOt57RPn4Q6G1kIdHT5Ja2jz02lwhtvjOfS6xkTS0+jU+xdRbWNLXCObwxvd9urntEg1WRTGm4CTvDCmyYmQG8n+HH7p4g4AAOA1LS2tdOqg/Wns8QeLyX+zI+m0raqemh2a8BR1dPgkraHdo0cP6TaNjY3iabaVbcMqVeM5tF1jOB1HHlQc16VmXHkvEVtYOyMzxpuAU7w0pimRLmNufA6/dHEHAADwkq1V9TRpXoVuhJHyPiV0zwWHJxx2E3V0+KS7cZBly5bRWWedRQMHDqQBAwZE/4YMGUIXX3yxG0nwLSvjOdzsUsMFgdrxh5QYhj1yM30QXF7JA374HEb5tD1d3AEAAMJiV02j4fXs4nU7xfpEoY4OH1dmHb/99tvFU+sbb7yRfvOb39CsWbNo69atNGfOHLr55pvdSIJveWk8h17X2co684IH400gSHnAD5/DiS7uAAAAYVJV35zQeqtQR4eLKw3ttWvX0uzZs6l3797iqXZmZqZ4kl1SUkKPPvoojR492o1k+JLXxnNou87yBGhmMN4EgpYH/PA5EuniDgAAEDaFOZGE1tuBOjo8XOk6npubSxkZGeLfhxxyCK1Zs0b8e/DgwbRx40Y3kuBbyngOPV4Yz+H19IH/BeUcC8rnAAAACJri/CwxFlsPL+f1AJ58on3sscfSPffcQzfddBOVlZXRk08+SRdccAEtXLiQCgsL3UiCr6jD/xTlZtKMMaX0n3U7qEuHbDELYk5mhpi0YWS/zim/I+Zk2COAVJ9jstBbiYTmQl4BAADwJp7ojK+3F/P1dmHOD9fblXVU3qdTwhOhQTi50tCeOnUq/f73v6e33nqLLrzwQnrxxRdF45ufct9yyy1uJME3tOF/OHzWE2OPotc/20KL1sVenI/o15m8AONNIAjnmCz0lhOhuZBXAACcwQ8iWlvbKD09LSn7T+a+wZvaiOj1Cr7e/mFStOF9OtGwPvq90QA80dDu2rUrPf3009HXf/nLX2jdunXiaTaP1wbj8D8cPuv+hWs9Hz4L403Az+eYLPTW7POHOBaaC3kFACBx+dkR0RB+YOFa+nZXnaP77lGcS9eO6uvoPsHbuKfoZJ3wXvyQa8q8CkfCe0H4uNLQ5lBeS5Ysof3220+8TktLo759+9K3335Lp5xyCi1fvtyNZPgy/E9Zz440Z+E605BAuGgHSG7oLQ7rIQvNhXwIAOA+bmR/ubMm1cmAEIT3QkMbPNPQnj9/Pr388svi321tbXTNNdfEPb3etm0bde7sje7PXg3/w2NEghDaCMDPobdkYT2QDwEAAPzLrfBeEC5Ja2ifeOKJ9M0334h/f/jhh3T44YdTfn5+zDZ5eXliOzAO/5MdSQ9EaCMAP4fekoX1QD4EAADwLzfDe0F4JO2s4Ub1+PHjxb979OghYmVnZ2cn63CBoIT/Uc9IvPzr3TSsT4ludxaEBAJIXt5T8HIO62G2HvkQAADA/+G9uJu4FsJ7gafjaI8ZM0Z0E585cyZdffXV4t888/jSpUvdOLxvKOF/1LF25y7eKCbkGK6Jv4uQQADJzXvqfMbjsszWIx8CAAD4F9fzd44pjYulza95OcZnQ3u40g/io48+oiuuuIKGDx9OixYtooaGBtqwYYMI7XXvvffSSSed5EYyfMEo/M8chAQCSCpZ6C2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efvppGjlyJJWWltI555xDH3/8sVj+xRdfiO4mgwcPppNPPpmeeeaZ6Hu4K8rvfvc7mjx5Mg0ZMkSsX7BgQXT91q1b6brrrqOjjjqKBg0aRGPGjKGlS5cmnNYtW7bQr3/9a3HMUaNG0Zw5c6ilpUWse/nll0V677//fjrmmGPoyCOPpBkzZsQUOnxXcvjw4XTEEUfQ7bffLrbn9/HnmTdvnvjj/Sr4uzjjjDPEd/Pzn/9c3CkESAWv5tPW1lY6+uij6d///nd02UknnUQTJ06Mvr733nvpxhtvjOv+tm7dOrroootE2n75y1/Srl27outOOOGE6P85j7Kmpia69dZbRf49/vjj6YknnrD5LQI4S+km+uqrr4q6hesdrluam5vF+rfffptGjx4tzvHzzjuPPvzwQ7Gcz2muv/i1kidQbwKEJ6+i7gwuNLQhauXKlTRr1iyaNm2aGNPBBQ93OamtraVf/epXNHToUHrllVdExn/wwQdjxqhwocSVMWfkc889VxQ6nPkZFwxckT/33HPiPV27dqVbbrklobTyscaPH08lJSWiYueLAS4wH3744eg2y5cvp40bN9Kzzz5LN998s2ic/Pe//xXr+HPwxcSUKVPo73//uyh0P/roI7Fu3LhxdOqpp4q/F198Mbq/F154gW666SaxrLKyUnSTA3Cbl/Npeno6HXfccdGLEr4A2bRpEy1btiy6zZIlS8SFjVpjYyNdccUV1LNnT5E2vgnA+VKd95T/88WPkr8zMzNFWvm9d911F61fv75d3ymAk/hC/L777hP/f+utt0QjdPXq1SJPXnXVVSJ/nnnmmSK/fvXVV+Kc5npH3SUU9SZAePIq6s7gQkMbovhOc1paGnXv3p0OOOAAcfE+e/ZsUdBwxcyvDz74YHG3mu+IcwWsKCoqottuu4169+4tMi4XQjyGhSv2n/zkJ6LC5nV9+vShiy++OHpx317vv/8+bd68maZPn06HHHKIuPvOBaM6TVzwKevPOuss6t+/P1VUVIh1f/vb3+iSSy4RFwV9+/almTNnUk5OjliXn58v/s1/++23X3R/XOjycfhOIt/h5MIYwG1ez6fl5eXRCZD4adawYcNEXt2xY4e40OZ8o71Y4Av53bt3i4sTPj4fm9OjUPIh/1/Jp3wxw0/nDzzwQBo7diwVFhbSmjVr2v29Ajjl97//vbgBduyxx9JvfvMbev755+nxxx+nCy64QDzdPeigg8STpx/96EeiQcvndF5enrj45S6hqDcBwpdXUXcGUyTVCQDv4Ezer18/UbgcdthhoqvJ+eefT//5z39EBueLcnVlnJGREX3N3WV43Ij6Nd8h4wYBd2l5/fXXxZ05vlO+YsUK0U0mEbxvLlz46Z2C91lfXx/tNsONjoKCguh6/rfSLYgLFW5oqBsgvXr1Mj0mF0qKDh06UENDQ0KfASCI+ZTTx0/b9+zZI5528cUC50mlKx1fcKsvxBlflPDNAb6AUXBXU7OJlfgmA6dbgTwJXsFdMtV57PvvvxdPkb777ruYp03chZPzixbqTYDw5VXUncGEhjZE5ebmiu4l3HWFx4lwNxS+g8djQblLyx/+8AfD90YisacSX+BzVxgubLibTVVVlei2wk/ZuMDi7muJ4Iqf77hz11gtLjSYukGhUMaaceNDO0mEbNII/jwAqeb1fNqtWzfxFIDvyPMfj1fju/J8EcKVufaOvFH+4ycGZtQ3EIz2AZAK6nNXueDmfMvdT88+++yYbZWnTGqoNwHCl1dRdwYTSkCI4rt4//d//ye60HC3kjfeeENk7v3331/cpeO7YFwI8N8nn3xCf/nLX6Lv5Tvd6jt4fEeP777x3Ta+M8cTqHA31h//+Me0bdu2hDM230XnAojv7ilp4vFiPH5MfafOCHfv+fzzz2PiIvL4G4WVfQCkgh/yKd+Zf+edd0Q3d37qzl3z+K48j2nTu1jgbqhffvmluJOvWLVqVfTfyI/gJ+pzl/NYly5dRLdOrqOUvMl//MSMe6Joz3HUmwDhzKuoO4MHDW2IuVv35z//WTwt40Lmn//8p5hg6cQTTxRdy/hJGXc94y4pd9xxh+hipvj666/FONENGzbQQw89JCpjHo/FYz/4jjbviwsObhTwZBPKJA7txYVRjx49xPgabjzw3T8eI8N3IvXu1mnxTKk8Lo0nv+DPxJO78GdVCiXeD6eXJ6QA8BI/5FPOn//4xz9EFza+u84XC3ws7rZ6+OGHx23PM5/y3fypU6eKtPNTeu6Kp+D8yLhrfE1NTTu/OQB3cL7jcc08fvJPf/qTGDfJYyH5nOZ6hyc54gtz/uNun8o5zhfonKdRbwKEM6+i7gweNLQhasCAAaLQeeyxx8RkJzwTKV+U8xOvRx99VNw14640PIMoF0ZXXnll9L0cVoDHtvB6ngn5kUceEbMg8lM2nqSB33/66aeL5fx+7sLKsye3F18UcEOBn87xpBXXXnstjRgxQuzbitNOO0109+HxMDy+lS8++E/pcsOTwPDTQZ5tEl1qwEv8kE85TAlffCtjQTt16iTGavJFgbb7OuN8x0/pecIX7i7HXeE57Qp+Asd5kSd6U2ZRBfAq7kLK+e76668X9QuPa+aLZI4WwBOK8XqedOmee+4RIYEY3yjj+ozrJs4PqDcBwpdXUXcGT1obSkNIEN+94/Gi6i6qXsfp5QYG3wlUxq5xV1x+UsgzpAIEjR/zKYCf8BMunpyQ49PzEI6gQb0JQRH0vAregcnQIJR4DAyPdb311ltFWBLuIsSzq+p1zQEAAAg71JsAAPagoQ2esHPnzpjYf3q4gnfKddddJ+IJX3rppWIiKQ6JxF1xs7OzHTsGQNC4nU8BwBjqTQB/QN0ZXug6Dp7AYYa4K48ZnvkRAFIH+RTAO5AfAfwBeTW80NAGAAAAAAAAcBBmHQcAAAAAAABwEBraAAAAAAAAAA5CQxsAAAAAAADAQWhoAwAAAAAAADgIDW0AAAAAAAAAB6GhDQAAAAAAAOAgNLQBAAAAAAAAyDn/DzBvj9cBGI7cAAAAAElFTkSuQmCC",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Q531_PAYxTKy"
},
"source": [
"We can also use altair. "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"id": "KsBgHHrQxTKz",
"outputId": "702769a8-dc55-43e7-b4ba-ffbbe9a2c0cc"
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"\n",
""
],
"text/plain": [
"alt.Chart(...)"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"iris_transformed = iris.reset_index().melt(['species', 'index'])\n",
"alt.Chart(iris_transformed).mark_line().encode(\n",
" x='variable:N',\n",
" y='value:Q',\n",
" color='species:N',\n",
" detail='index:N',\n",
" opacity=alt.value(0.5),\n",
").properties(width=500)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "yYiA-Ub0xTKz"
},
"source": [
"**Q: can you explain how `iris_transformed` is different from the original `iris` dataset and why do we need to transform in this way?**"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "l_eqs1LyxTKz"
},
"source": [
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "EQLd19L5xTKz"
},
"source": [
"## PCA \n",
"\n",
"The [principal component analysis (PCA)](http://setosa.io/ev/principal-component-analysis/) is the most basic dimensionality reduction method. For example, in the Iris dataset we have four variables (`sepal_length`, `sepal_width`, `petal_length`, `petal_width`). If we can reduce the number of variables to two, then we can easily visualize them in two dimensions. \n",
"\n",
"PCA is already implemented in the [scikit-learn](http://scikit-learn.org/stable/) package, a machine learning library in Python, which should have been included in Anaconda. If you don't have it, install it. Depending on your environment manager, you can use the following commands. \n",
"\n",
"```sh\n",
"uv add scikit-learn\n",
"```\n",
"\n",
"or\n",
"\n",
"```sh\n",
"conda install scikit-learn\n",
"```\n",
"\n",
"or\n",
"\n",
"```sh\n",
"pip install scikit-learn\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"id": "cmwy0QkPxTK0",
"outputId": "0d3a7b91-87cc-43ec-99a6-6804bcfa7892"
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
sepal_length
\n",
"
sepal_width
\n",
"
petal_length
\n",
"
petal_width
\n",
"
species
\n",
"
\n",
" \n",
" \n",
"
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"
0
\n",
"
5.1
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"
3.5
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"
1.4
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"
0.2
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"
setosa
\n",
"
\n",
"
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"
1
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"
4.9
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"
3.0
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"
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"
0.2
\n",
"
setosa
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" sepal_length sepal_width petal_length petal_width species\n",
"0 5.1 3.5 1.4 0.2 setosa\n",
"1 4.9 3.0 1.4 0.2 setosa"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"iris.head(2)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "E6FSctnBxTK0"
},
"source": [
"This is a four dimensional data. To run the PCA we want to isolate only the numerical columns. "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
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"
sepal_length
\n",
"
sepal_width
\n",
"
petal_length
\n",
"
petal_width
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
5.1
\n",
"
3.5
\n",
"
1.4
\n",
"
0.2
\n",
"
\n",
"
\n",
"
1
\n",
"
4.9
\n",
"
3.0
\n",
"
1.4
\n",
"
0.2
\n",
"
\n",
"
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"
2
\n",
"
4.7
\n",
"
3.2
\n",
"
1.3
\n",
"
0.2
\n",
"
\n",
"
\n",
"
3
\n",
"
4.6
\n",
"
3.1
\n",
"
1.5
\n",
"
0.2
\n",
"
\n",
"
\n",
"
4
\n",
"
5.0
\n",
"
3.6
\n",
"
1.4
\n",
"
0.2
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" sepal_length sepal_width petal_length petal_width\n",
"0 5.1 3.5 1.4 0.2\n",
"1 4.9 3.0 1.4 0.2\n",
"2 4.7 3.2 1.3 0.2\n",
"3 4.6 3.1 1.5 0.2\n",
"4 5.0 3.6 1.4 0.2"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"features = ['sepal_length', 'sepal_width', 'petal_length', 'petal_width']\n",
"iris_only_features = iris[features]\n",
"iris_only_features.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Data Preprocessing: The Importance of Standardization\n",
"\n",
"Before applying PCA, let's standardize the data. PCA is sensitive to the scale of features because it finds directions of maximum variance. Features with larger scales will dominate the principal components.\n",
"\n",
"**Example**: If one feature ranges from 0-1000 and another from 0-1, PCA will be biased toward the first feature simply due to its scale, not its actual importance.\n",
"\n",
"Let's check the scales of our iris features:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
sepal_length
\n",
"
sepal_width
\n",
"
petal_length
\n",
"
petal_width
\n",
"
\n",
" \n",
" \n",
"
\n",
"
count
\n",
"
150.000000
\n",
"
150.000000
\n",
"
150.000000
\n",
"
150.000000
\n",
"
\n",
"
\n",
"
mean
\n",
"
5.843333
\n",
"
3.057333
\n",
"
3.758000
\n",
"
1.199333
\n",
"
\n",
"
\n",
"
std
\n",
"
0.828066
\n",
"
0.435866
\n",
"
1.765298
\n",
"
0.762238
\n",
"
\n",
"
\n",
"
min
\n",
"
4.300000
\n",
"
2.000000
\n",
"
1.000000
\n",
"
0.100000
\n",
"
\n",
"
\n",
"
25%
\n",
"
5.100000
\n",
"
2.800000
\n",
"
1.600000
\n",
"
0.300000
\n",
"
\n",
"
\n",
"
50%
\n",
"
5.800000
\n",
"
3.000000
\n",
"
4.350000
\n",
"
1.300000
\n",
"
\n",
"
\n",
"
75%
\n",
"
6.400000
\n",
"
3.300000
\n",
"
5.100000
\n",
"
1.800000
\n",
"
\n",
"
\n",
"
max
\n",
"
7.900000
\n",
"
4.400000
\n",
"
6.900000
\n",
"
2.500000
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" sepal_length sepal_width petal_length petal_width\n",
"count 150.000000 150.000000 150.000000 150.000000\n",
"mean 5.843333 3.057333 3.758000 1.199333\n",
"std 0.828066 0.435866 1.765298 0.762238\n",
"min 4.300000 2.000000 1.000000 0.100000\n",
"25% 5.100000 2.800000 1.600000 0.300000\n",
"50% 5.800000 3.000000 4.350000 1.300000\n",
"75% 6.400000 3.300000 5.100000 1.800000\n",
"max 7.900000 4.400000 6.900000 2.500000"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"iris_only_features.describe()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Q: can you now standardize this feature matrix?**"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Feature statistics after standardization:\n",
" sepal_length sepal_width petal_length petal_width\n",
"count 1.500000e+02 1.500000e+02 1.500000e+02 1.500000e+02\n",
"mean -4.736952e-16 -7.815970e-16 -4.263256e-16 -4.736952e-16\n",
"std 1.003350e+00 1.003350e+00 1.003350e+00 1.003350e+00\n",
"min -1.870024e+00 -2.433947e+00 -1.567576e+00 -1.447076e+00\n",
"25% -9.006812e-01 -5.923730e-01 -1.226552e+00 -1.183812e+00\n",
"50% -5.250608e-02 -1.319795e-01 3.364776e-01 1.325097e-01\n",
"75% 6.745011e-01 5.586108e-01 7.627583e-01 7.906707e-01\n",
"max 2.492019e+00 3.090775e+00 1.785832e+00 1.712096e+00\n"
]
}
],
"source": [
"# Standardize the features\n",
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"# YOUR SOLUTION HERE\n",
"\n",
"print(\"\\nFeature statistics after standardization:\")\n",
"print(iris_scaled_df.describe())\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "HjyMpw_FxTK0"
},
"source": [
"We should first create a PCA object and specify the number of components to obtain. Note that you can obtain more than two principal components. "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"id": "0cFNZGxKxTK0"
},
"outputs": [],
"source": [
"from sklearn.decomposition import PCA\n",
"pca = PCA(n_components=2) # set the number of components to 2"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "4P2G2akrxTK1"
},
"source": [
"Now you can run `fit()` method to identify principal components. "
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"id": "JT5aBDytxTK1"
},
"outputs": [],
"source": [
"pca_iris_fitted = pca.fit(iris_scaled)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Ki7FlKXCxTK1"
},
"source": [
"An important set of numbers that you want to look at is the *explained variance ratio*. "
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"id": "hEjHyKYixTK1",
"outputId": "6d2bf045-94fe-47fd-ffee-0f0b6cf5e942"
},
"outputs": [
{
"data": {
"text/plain": [
"array([0.72962445, 0.22850762])"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca_iris_fitted.explained_variance_ratio_"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "mYIBKSWgxTK1"
},
"source": [
"It tells you how much of the variance in the original dataset is explained by the principal components that you obtained. It seems like the first two components capture more than 95% of the variance in original dataset. This means that the PCA is very effective on this dataset and just using two principal components is a very good approximation to use all dimensions. Now you can use the result to transform the original dataset. "
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"id": "GiDPJpxdxTK1",
"outputId": "bc2a6388-d1f8-4756-dd22-fe3ca0e226ac"
},
"outputs": [
{
"data": {
"text/plain": [
"array([[-2.26470281, 0.4800266 ],\n",
" [-2.08096115, -0.67413356],\n",
" [-2.36422905, -0.34190802],\n",
" [-2.29938422, -0.59739451],\n",
" [-2.38984217, 0.64683538]])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"iris_pca = pca_iris_fitted.transform(iris_scaled)\n",
"iris_pca[:5]"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "g7v4EhkDxTK1"
},
"source": [
"A convenient way to do both fitting and transforming is "
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"id": "RqxpEKxsxTK1",
"outputId": "0952b79c-e07c-4f3a-ce92-6ef29a433633"
},
"outputs": [
{
"data": {
"text/plain": [
"array([[-2.26470281, 0.4800266 ],\n",
" [-2.08096115, -0.67413356],\n",
" [-2.36422905, -0.34190802],\n",
" [-2.29938422, -0.59739451],\n",
" [-2.38984217, 0.64683538]])"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"iris_pca = pca.fit_transform(iris_scaled)\n",
"iris_pca[:5]"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "8ZfnFlt9xTK2"
},
"source": [
"You can see that this transformed matrix has two columns. Each column corresponds to the \"loading\" for one of the principal components. "
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"id": "0J18SF3RxTK2",
"outputId": "aae6fb46-4740-4454-991e-b72132bac112"
},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"text/plain": [
" PC1 PC2 species\n",
"0 -2.264703 0.480027 setosa\n",
"1 -2.080961 -0.674134 setosa\n",
"2 -2.364229 -0.341908 setosa\n",
"3 -2.299384 -0.597395 setosa\n",
"4 -2.389842 0.646835 setosa"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "MUxVhKDQxTK2"
},
"source": [
"Now we can produce a scatterplot based on the two principal components. Well, let's just draw a pairplot. "
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"id": "n2_k5TlAxTK2",
"outputId": "25f8c095-aee6-4d1a-d972-919ddf3f657f"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "DpguNwSjxTK2"
},
"source": [
"The PC1 seems to capture inter-species variation while PC2 seems to capture intra-species variation. 🧐 Interesting!"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "YqMO-Wp1xTK3"
},
"source": [
"### PCA with faces\n",
"\n",
"Let's play with PCA with some faces. 🙄😬🤓"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"id": "fAoe_vLzxTK3"
},
"outputs": [],
"source": [
"from sklearn.datasets import fetch_olivetti_faces\n",
"\n",
"dataset = fetch_olivetti_faces(shuffle=True)\n",
"faces = dataset.data"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"id": "-c44J2N-xTK3",
"outputId": "d2c7f973-f6e2-47f4-cc41-72e2f6af8d66"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"400\n",
"4096\n"
]
}
],
"source": [
"n_samples, n_features = faces.shape\n",
"print(n_samples)\n",
"print(n_features)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "YSHuEGKkxTK3"
},
"source": [
"So, this dataset contains 400 faces, and each of them has 4096 features (=pixels). Let's look at the first face:"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"id": "i7morW8DxTK3",
"outputId": "410a2305-d352-49e8-fdb0-45c68900d90b"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(4096,)\n"
]
},
{
"data": {
"text/plain": [
"array([0.6694215 , 0.6363636 , 0.6487603 , ..., 0.08677686, 0.08264463,\n",
" 0.07438017], shape=(4096,), dtype=float32)"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"print(faces[0].shape)\n",
"faces[0]"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "o3AEjh0UxTK3"
},
"source": [
"It's an one-dimensional array with 4096 numbers. But a face should be a two-dimensional picture, right? Use `numpy`'s [**`reshape()`**](http://docs.scipy.org/doc/numpy/reference/generated/numpy.reshape.html) function as well as `matplotlib`'s [**`imshow()`**](http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.imshow) function, transform this one-dimensional array into an appropriate 2-D matrix and draw it to show the face. You probably want to use `plt.cm.gray` as colormap. \n",
"\n",
"Be sure to play with different shapes (e.g. 2 x 2048, 1024 x 4, 128 x 32, and so on) and think about why they look like what they look like. What is the right shape of the array?\n",
"\n",
"**Q: reshape the one-dimensional array into an appropriate two dimensional array and show the face**"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"id": "4pFWyBUixTK3",
"outputId": "815753d6-7e6e-43e6-b642-3074c15a54f3"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# TODO: draw faces[0] with various shapes. Find the correct dimension. \n",
"# image_shape = (xx, yy)\n",
"\n",
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "RTZNB9GKxTK4"
},
"source": [
"Let's perform PCA on this dataset."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"id": "7CnUyssgxTK4"
},
"outputs": [],
"source": [
"from sklearn.decomposition import PCA"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "LHo5Al8xxTK4"
},
"source": [
"Set the number of components to 6:"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"id": "pre99QeNxTK4"
},
"outputs": [],
"source": [
"n_components=6\n",
"pca = PCA(n_components=n_components)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "466C9C2LxTK4"
},
"source": [
"Fit the faces data:"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"id": "CI_uJkasxTK4",
"outputId": "ece677b9-d4fb-4185-b0bc-1f115689bebc"
},
"outputs": [
{
"data": {
"text/html": [
"
PCA(n_components=6)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
PCA(n_components=6)
"
],
"text/plain": [
"PCA(n_components=6)"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.fit(faces)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "745Mli28xTK4"
},
"source": [
"PCA has an attribute called `components_`. It is a $\\text{n-components} \\times \\text{n-features}$ matrix, in our case $6 \\times 4096$. Each row is a component."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"id": "O2dF9WD4xTK4",
"outputId": "3be84b52-0a13-471d-9d26-6a41a5872d8a"
},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.0041911 , 0.00710948, 0.00933611, ..., -0.00018516,\n",
" -0.00337965, -0.00318824],\n",
" [ 0.0285914 , 0.03328843, 0.03784651, ..., -0.02962786,\n",
" -0.02721302, -0.02488902],\n",
" [ 0.00135686, -0.00032583, -0.00019807, ..., -0.01541362,\n",
" -0.01370976, -0.01188339],\n",
" [ 0.00112417, -0.00179048, -0.01168248, ..., 0.02943009,\n",
" 0.02781928, 0.02521859],\n",
" [ 0.02384355, 0.02359225, 0.02216258, ..., 0.04244031,\n",
" 0.0400757 , 0.04110456],\n",
" [ 0.02909761, 0.03130125, 0.02877332, ..., -0.01635729,\n",
" -0.01637271, -0.014908 ]], shape=(6, 4096), dtype=float32)"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.components_"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"id": "M4w86w1VxTK5",
"outputId": "a15632ed-8812-49ae-dcdf-6f49797e611a"
},
"outputs": [
{
"data": {
"text/plain": [
"(6, 4096)"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.components_.shape"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "WtkGxJYJxTK5"
},
"source": [
"We can display the 6 components as images:"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"id": "JWGz-7zzxTK5",
"outputId": "d3d91e9e-fad6-487f-be7d-11d3482d81f7"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# use the `image_shape` that you defined in the previous question. \n",
"\n",
"for i, comp in enumerate(pca.components_, 1):\n",
" plt.subplot(2, 3, i)\n",
" plt.imshow(comp.reshape(image_shape), cmap=plt.cm.gray, interpolation='gaussian')\n",
" plt.xticks(())\n",
" plt.yticks(())"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "XMZbhmv5xTK5"
},
"source": [
"😱 Looks a bit scary... \n",
"\n",
"They are the \"principal faces\", which means that, by adding up these images with some appropriate weights, we can get a close approximation of the 400 images in the dataset!"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "DoZxvP_VxTK5"
},
"source": [
"We can get the coordinates of the 6 components to understand how each face is composed with the components."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"id": "ZIeNyPDixTK5"
},
"outputs": [],
"source": [
"faces_pca_transformed = pca.transform(faces)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"id": "4JzDWH7pxTK5",
"outputId": "60781075-e4ae-4e98-cf14-5f2e4f343836"
},
"outputs": [
{
"data": {
"text/plain": [
"(400, 6)"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"faces_pca_transformed.shape"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "DNExrzOFxTK5"
},
"source": [
"`faces_r` is a $400 \\times 6$ matrix. Each row corresponds to one face, containing the coordinates of the 6 components. For instance, the coordinates for the first face is"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"id": "IINXD4srxTK5",
"outputId": "8882ddc7-d9be-4df9-e16d-0889b6f53ff1"
},
"outputs": [
{
"data": {
"text/plain": [
"array([-0.8157654 , 4.14402 , 2.4832482 , -0.90308356, -0.831388 ,\n",
" 0.8863355 ], dtype=float32)"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"faces_pca_transformed[0]"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "53t3OjEJxTK6"
},
"source": [
"It seems that the second component (with coordinate 4.14403343) contributes the most to the first face. Let's display them together and see how similar they are:"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"id": "5xqDqfgYxTK6",
"outputId": "a8e47bdc-3808-4b80-af33-25c6b514ed18"
},
"outputs": [
{
"data": {
"text/plain": [
"([], [])"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# display the first face image \n",
"plt.subplot(1, 2, 1)\n",
"plt.imshow(faces[0].reshape(image_shape), cmap=plt.cm.gray, interpolation='gaussian')\n",
"plt.xticks(())\n",
"plt.yticks(())\n",
"\n",
"# display the second component\n",
"plt.subplot(1, 2, 2)\n",
"plt.imshow(pca.components_[1].reshape(image_shape), cmap=plt.cm.gray, interpolation='gaussian')\n",
"plt.xticks(())\n",
"plt.yticks(())"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "UbIoNtgKxTK6"
},
"source": [
"We can display the composition of faces in an \"equation\" style:"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"id": "rG-1B6_RxTK6",
"outputId": "d0b77d9f-ae59-4722-ab51-36d1d151aefc"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib import gridspec\n",
"\n",
"def display_image(ax, image):\n",
" ax.imshow(image, cmap=plt.cm.gray, interpolation='nearest')\n",
" ax.set_xticks(())\n",
" ax.set_yticks(())\n",
"\n",
"def display_text(ax, text):\n",
" ax.text(.5, .5, text, size=12)\n",
" ax.axis('off')\n",
"\n",
"face_idx = 0\n",
"\n",
"plt.figure(figsize=(16,4))\n",
"gs = gridspec.GridSpec(2, 10, width_ratios=[5,1,1,5,1,1,5,1,1,5])\n",
"\n",
"# display the face\n",
"ax = plt.subplot(gs[0])\n",
"display_image(ax, faces[face_idx].reshape(image_shape))\n",
"\n",
"# display the equal sign\n",
"ax = plt.subplot(gs[1])\n",
"display_text(ax, r'$=$')\n",
"\n",
"# display the 6 coordinates\n",
"for coord_i, gs_i in enumerate( [2,5,8,12,15,18] ):\n",
" ax = plt.subplot(gs[gs_i])\n",
" display_text( ax, r'$%.3f \\times $' % faces_pca_transformed[face_idx][coord_i] )\n",
"\n",
"# display the 6 components\n",
"for comp_i, gs_i in enumerate( [3,6,9,13,16,19] ):\n",
" ax = plt.subplot(gs[gs_i])\n",
" display_image( ax, pca.components_[comp_i].reshape(image_shape) )\n",
"\n",
"# display the plus sign\n",
"for gs_i in [4,7,11,14,17]:\n",
" ax = plt.subplot(gs[gs_i])\n",
" display_text(ax, r'$+$')"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "mgnoe1ZIxTK6"
},
"source": [
"We can directly see the results of this addition. "
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"id": "sV1NCcAxxTK6",
"outputId": "e679c5b6-16ed-4382-9cda-70ca40a7f661"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, axes = plt.subplots(1, 6, figsize=(16,4))\n",
"\n",
"faceid = 0\n",
"\n",
"constructed_faces = []\n",
"for i in range(2, 10):\n",
" constructed_faces.append(np.dot(faces_pca_transformed[faceid][:i], pca.components_[:i]))\n",
"\n",
"# the face that we want to construct. \n",
"display_image(axes[0], faces[0].reshape(image_shape))\n",
"\n",
"for idx, ax in enumerate(axes[1:]):\n",
" display_image(ax, constructed_faces[idx].reshape(image_shape))"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "E531vTswxTK6"
},
"source": [
"It becomes more and more real, although quite far with only several components. "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "oE2SBRo3xTK6"
},
"source": [
"## NMF\n",
"\n",
"There is another pretty cool dimensionality reduction method called NMF (Non-negative matrix factorization). It is widely used in many domains, such as identifying topics in documents, identifying key components in images, and so on. The key idea is by forcing every element in the decomposed matrices positive, NMF breaks something into **parts** that we can add together. \n",
"\n",
"**Q: fit the faces data with NMF, set the number of iterations higher than default**\n"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"id": "wwO4gt4lxTK7",
"outputId": "60e013dd-1af2-489b-826b-154396ba6819"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.decomposition import NMF\n",
"n_components=20\n",
"MAX_ITER = 10000\n",
"\n",
"# YOUR SOLUTION HERE\n",
"\n",
"for i, comp in enumerate(nmf_fitted.components_, 1):\n",
" plt.subplot(4, 5, i)\n",
" plt.imshow(comp.reshape(image_shape), cmap=plt.cm.gray, interpolation='gaussian')\n",
" plt.xticks(())\n",
" plt.yticks(())\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "3DyBQ-e6xTK7"
},
"source": [
"As you can see here, each 'component' of NMF picks up a certain part of the face (light area), such as eyes, chin, nose, and so on. Very cool. "
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"id": "bspBevAIxTK7"
},
"outputs": [],
"source": [
"faces_nmf_tranformed = nmf_fitted.transform(faces)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"id": "9W8u9bzDxTK7",
"outputId": "dad25349-b411-4cf1-e954-23c10849b140"
},
"outputs": [
{
"data": {
"text/plain": [
"array([0.0711282 , 0.02707407, 0. , 0.07285579, 0.0333754 ,\n",
" 0.00445678, 0.04553186, 0.02588788, 0.00755309, 0.02399708,\n",
" 0. , 0. , 0.01487688, 0. , 0.13019557,\n",
" 0.01083633, 0.17124934, 0.24680914, 0.09447206, 0.04335925],\n",
" dtype=float32)"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"faces_nmf_tranformed[0]"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "7N6y_yHWxTK7"
},
"source": [
"Can you show the reconstructed faces using the first n components, as we did for the PCA? "
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"id": "DUOB2g_0xTK7",
"outputId": "fe3a1379-3d2e-472f-a08f-2af10a593636"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, axes = plt.subplots(1, 8, figsize=(20,4))\n",
"faceid = 0\n",
"constructed_faces = []\n",
"\n",
"\n",
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "VYbHYcjLxTK7"
},
"source": [
"Unlike PCA that keeps superposing positive and negative images, NMF tends to gradually add multiple parts to the image. This is why it is widely used for many decomposing tasks such as detecting topics from documents. "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ifWNK7NAxTK7"
},
"source": [
"## t-SNE, Isomap, and MDS\n",
"\n",
"Isomap, t-SNE, and MDS are nonlinear dimensionality reduction methods. Isomap preserves only the local relationships, MDS tries to preserve everything, and t-SNE is more flexible. t-SNE is very popular especially in machine learning. \n",
"\n",
"Let's try t-SNE out with the iris data. \n",
"\n",
"**Q: Fit-transform the iris data with t-SNE and create a scatterplot of it.**"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"id": "5n0G3MVmxTK7",
"outputId": "56a3173a-02d1-4046-a591-2506056af950"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.manifold import TSNE\n",
"from sklearn.manifold import Isomap\n",
"from sklearn.manifold import MDS\n",
"from sklearn.datasets import load_iris\n",
"\n",
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "pTVpHlcUxTK8"
},
"source": [
"The hyperparameter `perplexity` determines how to balance attention between local and global aspects of your data. Changing this parameter (default is 30) may cause drastic changes in the output. Play with multiple values of perplexity. "
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"id": "l9m4QwIpxTK8",
"outputId": "13698bc6-fbcf-4938-a7d5-d75e2ad65498"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "YqDhoB8XxTK8"
},
"source": [
"If you want to learn more about t-SNE, play with https://distill.pub/2016/misread-tsne/ and https://experiments.withgoogle.com/visualizing-high-dimensional-space"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Sqeai8E-xTK8"
},
"source": [
"### Visualizing the Digits dataset"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "O05n-A4TxTK8"
},
"source": [
"This is a classic dataset of images of handwritten digits. It contains 1797 images with \\(8*8=64\\) pixels each.\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"id": "wPW7Q-2lxTK8",
"outputId": "46a59068-631d-4f4a-d7ef-fe1370d497d6"
},
"outputs": [
{
"data": {
"text/plain": [
"(1797, 64)"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.datasets import load_digits\n",
"\n",
"digits = load_digits()\n",
"digits.data.shape"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "He8zr__6xTK8"
},
"source": [
"digits.data stores the images:"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"id": "1zMUDOenxTK8",
"outputId": "84c8da92-c666-4eb5-f6c9-4af6f50e2045",
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0., 0., 5., 13., 9., 1., 0., 0., 0., 0., 13., 15., 10.,\n",
" 15., 5., 0., 0., 3., 15., 2., 0., 11., 8., 0., 0., 4.,\n",
" 12., 0., 0., 8., 8., 0., 0., 5., 8., 0., 0., 9., 8.,\n",
" 0., 0., 4., 11., 0., 1., 12., 7., 0., 0., 2., 14., 5.,\n",
" 10., 12., 0., 0., 0., 0., 6., 13., 10., 0., 0., 0.])"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"digits.data[0]"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "2vM5ABqixTK8"
},
"source": [
"and digits.target is the classes (or labels) that the images belong to. There are 10 classes in total."
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"id": "XO_4obZFxTK9",
"outputId": "b83ad6a3-ce60-4746-b7d5-ef0e8ad732c7"
},
"outputs": [
{
"data": {
"text/plain": [
"array([0, 1, 2, ..., 8, 9, 8], shape=(1797,))"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"digits.target"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "I6vZjRI_xTK9"
},
"source": [
"**Q: use `imshow` to display the first image.**"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"id": "r08E3QK1xTK9",
"outputId": "c1943ad2-5b05-4aed-cf85-014f779b8773"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "SyfaSOmTxTK9"
},
"source": [
"Let's first reorder the data points according to the handwritten numbers. We can use [np.vstack](https://docs.scipy.org/doc/numpy/reference/generated/numpy.vstack.html) and [np.hstack](https://docs.scipy.org/doc/numpy/reference/generated/numpy.hstack.html)."
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"id": "awjJYuSwxTK9"
},
"outputs": [],
"source": [
"X = np.vstack([digits.data[digits.target==i]\n",
" for i in range(10)])\n",
"y = np.hstack([digits.target[digits.target==i]\n",
" for i in range(10)])"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Yz0ZFq63xTK9"
},
"source": [
"Then initialize a tsne model. For the meaning of the parameters see [here](http://scikit-learn.org/stable/modules/generated/sklearn.manifold.TSNE.html)."
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"id": "UFUZbsxNxTK9"
},
"outputs": [],
"source": [
"tsne = TSNE(n_components=2, init='pca', random_state=0)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "u_pu6wbYxTK9"
},
"source": [
"Fit the model on the data."
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"id": "7mVhF2EqxTK9"
},
"outputs": [],
"source": [
"digits_proj = tsne.fit_transform(X)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "9Xkb6HRmxTK9"
},
"source": [
"Plot the results. Seaborn's [hls](http://seaborn.pydata.org/generated/seaborn.hls_palette.html#seaborn.hls_palette) palatte provides evenly spaced colors in HLS hue space, we can divide it into 10 colors."
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"id": "xU1HpSoSxTK-"
},
"outputs": [],
"source": [
"palette = np.array(sns.color_palette(\"hls\", 10))"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "cJ3bBo7JxTK-"
},
"source": [
"Make a scatter plot of the first component against the second component, with color based on the numbers."
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"id": "XtpaWcQFxTK-",
"outputId": "9dfa5547-6cd4-4c22-c92b-4a0ffff90317"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize = (6,6))\n",
"plt.scatter(digits_proj[:,0], digits_proj[:,1],c=palette[y])"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "yPuKdWqGxTK-"
},
"source": [
"We can add some text for each cluster. The place of the text can be the center of the cluster. We can use `np.median` to find the centers. To simplify things, we can make the code into a function."
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"id": "aaYQay9DxTK-"
},
"outputs": [],
"source": [
"def plot_scatter(projection):\n",
" plt.figure(figsize = (6,6))\n",
" plt.scatter(projection[:,0], projection[:,1],c=palette[y])\n",
" for i in range(10):\n",
" # Position of each label.\n",
" xtext, ytext = np.median(projection[y == i, :], axis=0)\n",
" txt = plt.text(xtext, ytext, str(i), fontsize=24)"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"id": "raIFrMhFxTK-",
"outputId": "27ccd287-30bb-4f00-d61b-6d1ae3c2ca21"
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_scatter(digits_proj)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "8tqYZF_uxTK-"
},
"source": [
"### Comparison with Isomap and MDS\n",
"\n",
"We talked about MDS and Isomap in class as two other manifold learning methods. Sklearn also has implementations for this two algorithms: [MDS](http://scikit-learn.org/stable/modules/generated/sklearn.manifold.MDS.html) and [Isomap](http://scikit-learn.org/stable/modules/generated/sklearn.manifold.Isomap.html), so the usage is very similar. Examples for using this methods can be found [here](http://scikit-learn.org/stable/auto_examples/manifold/plot_lle_digits.html).\n",
"\n",
"**Q: Can you make another two plots with these two methods? You only need to change the models and call the `plot_scatter` function.**"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"id": "zBeper0zxTK-",
"outputId": "6f980ee2-cfdf-4641-b791-dafbf684810b"
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/yyahn/git/dataviz-solutions/.venv/lib/python3.12/site-packages/sklearn/manifold/_isomap.py:384: UserWarning: The number of connected components of the neighbors graph is 2 > 1. Completing the graph to fit Isomap might be slow. Increase the number of neighbors to avoid this issue.\n",
" self._fit_transform(X)\n",
"/Users/yyahn/git/dataviz-solutions/.venv/lib/python3.12/site-packages/scipy/sparse/_index.py:168: SparseEfficiencyWarning: Changing the sparsity structure of a csr_matrix is expensive. lil and dok are more efficient.\n",
" self._set_intXint(row, col, x.flat[0])\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# ISOMAP\n",
"\n",
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"id": "ecnYfk2yxTK_",
"outputId": "3f841337-b5af-4296-e69b-fc533fbde149"
},
"outputs": [
{
"data": {
"image/png": 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xNIeExFCQHAMJiYvI4e1uhFGYmI8nJMOOR3vR0RRgIkhT5umZbLJSxac5BT2HHmaKfUQYMhw0zsZu0wL0u4qgPXYcK0vKcU2RGVbFpfcnHgl5mVFjUwk5GbRlM9PUBoVIEN37fw93267oaphaHkQBfcf+ieIZH4Fp9FVZt/+68wS2uqJGPaKNIKKNR2uiaof7reU4QIOeGp/DXeM/APPYtWnb6D70l5RVeDYs429625ww+9mXYm2TmTokBNZF4W7dCWPtyrfh6CTeyVx6Vw0JiXcRtp4QfDDAAyW0CGbtfhfkMjz09wgE3h7Ni3PAqf1eJpb08W9Vpsgze7uPJJyCECfHI5X3oElTGzUQHA/KjL/Ya8MmmxPfGV2FGvWlMVOB8HQdQufuX0GMBGIGH3A2vc5W3ZVLvw6lPlqf0H3gj3C37Y6+KMk4U7sgOUWkSqivnJ9xHy/bD0dtZaaTHTPi9PALnBOlzhNYbZqa9rRA/9m8TgEJHRnrrsTbgRD2I+iM6ixkhePh6zspOQYSQ0ZqV5SQuIjoDDKI4LAPo3NJ4mBfeBRb+SeK5WKLQJctjL/+qJ2NFo7jpKK5mFHdZL0KzZpRUYMXu48QqA8/IuDnzZ0stH4pEHC2oGNXrP2PIMMbM75hXx/atv0AQjiAoLsT7tYdObUC+k/+m63+B+MXQmgL2XLqDyUQRTzTvwdCJgeggLoBua70XZOykZBIRooYSEgUCIW3KbTt6z7KWtnURRNgrFkOXpFdhXDOSiM2PNGH82Ip5IhgAeohh8CcBQ4iM+Cn9aNx3FOZ0Q6So2DrDuPkfg+bDkgEaKUoCixasNc0H2KSQ5DyWgBdwRCOeXyYUaBSYkugD5udJ9EddkDPq7HEMB7TNTXgR8AAUkFc1BHIpFVMrYH9zCGIBN15ugFEJltMioRKfVnaXIaC4TjYIl7UB3owTp26HV3FnGhUJmvUgIOufM4QV/kBhDyd4Dg5FIYKcFk+t0KgtkilsTYWNcg2vUqApnjKsPchcfly0RyDe++9F1arFQ888AD794kTJ/Cd73wHZ86cwbhx4/C9730P06ZJ08ckLgxaNVJr2qHtLjYtkSrS511hQNWYofWTh4ICvC4Bah0PVYZixICjCe07foxIwB7LPYMZsb7jj6Ni4VegLc1cNbjgKiN2bXCwlf9poQLnUYpa9EKHIAKcAu7KCrS15V7RU4/+mcPehGMQ75XvVRQjkGdCIb2Ts15/XseAzuM/+97EOvshZlzJdaGfW1ynMEldgfsqrodWdmEpCU/77jzheQ7ujn1QmepivYW5t9d34gmUz/9CyqpdycsxQV2Os/7OfC9PiTIMxjxmLZwNm7MeJ4kZGWtXFRz27zvxJHM0WAqFLryaIiaGZBp99bCjDpbxN6Br/++yHiNNi6TWRQmJSyKVsG7dOmzZsiXxb6/XyxyFefPm4dlnn8Xs2bPxyU9+kt0vITFcqM3wbz9qx1/vb8ehbS6cPuDF3o0O/O7rrXju4W4IufT7Y/R3h/D0H7rw/Y/W4yefbWQ///XrDnS1RC/gRCToQdv2HyISiEkYM+MWNXBU/d2x86dsbG8mNHoZ7v1uFRM9YtviZDjPleEIaiDMGI33f21U/jdKEx+TUgn6qsXswj9YLCkbsgLsznrHUeYUEOQUJP884+/E77o24kIRI6G8b5TOJ9MESIykzI6nbSdcTa+n3X+jeXbBTgGdmkplusqlSI6RPIsjxMtQueR/IFebC4oStG37Phz16xNOQTx10nv4b6yYcrjoa5bBPO762BtJvpRz4BUaVCz5mtSRIHFpRAzsdjt++tOfYvr0gRXUyy+/DJVKhfvuu495x9/4xjewdetWvPrqq7jttttG+hAk3mV43RH4PQL0JllKayEZ//PHo6L38dx8/OfeTU6Yi+VYdWt0vHEmetuD+MO3WhHwRXUM4jb/xB4PTh/04hPfrkL1WDVczVsgsPB2JnMjQhQjcJxfj5KZ92TcD6n0ffqHNWhr8KP5tJ+JGI2ZqkFplZKt1K1lCuagZLNmdGxVYweMlHH0VbCfW4fiYD/0YRfcMn2iqC7ttYgqJuaCcuzP2/Znfxwi9nsb0R60oVI5fNEcpXEUAvb67KFvjmcjj3WVC1h6RgjlWzhwsJ19CYbaVSmr7vn6MXifdSGe7KcIhZj13FBEZLa2Fla5Ps2Bad/xIwhJhjwFmpcQKGysMrVCBuwNWd8zfY6GUSugMlHx6NCg91w8/YPQls+Bs+E1BOxxgaOFrGW1EMdFQuItiRj85Cc/wc0338zSBXEOHz6MuXPnJv546eecOXNw6FB0hSIhkYnmMz789f42/PDjDfj5fzXhBx9vwDN/7IKjPwx7bwhH3nTnjExve8nO1Aez8dyfe+BPcgri0L/pdU/9vosZbnf73hyFcFFvwk1h8gJ0/hevNWPR1SbmFMT/FpZea8pVZ8daF2cvNyTukqtMqFr+bSjVRiy3bcv5xz1Rq8ZYTWq6YXDRXnOwD/ZIbiNMFREHvU24EExjr8l7Hkmxj1a5pXM+U8AWRYTc7UzjYDC3WufhnuLl0PLpq36ZSwnTzlqUbp6IucfnpQ2+os+SjVXOUV9gO/tCgY7BhtzvmeMTHSbDRVsyFeULvojaq3+NUVf9FNZJ75GcAolLJ2Kwc+dO7Nu3Dy+++CK++93vJu7v6elJcRSIoqIinD17diR3L/Eu4swhD/7x046USypV5h/c4sKZg14sudaUc7QuQVGG1vN+1E1KV8fr6wyi4UT2EXtkE3raQmg+4wefbeU4pDB5dhZebUL9CR+O7/GkzG5gEyA54P1fLIdaOzAZiFIkPb1lCFX8BCvFk3CInXiTqwAfK2aMd7ZXqpT4Uk05e01YELHR5sD6Pgc6gyEoOY7NY7ih2IxwIep+tI0Cwvs5t5Gn0r9o2gcT0sL6ynnQVsyFtyN7JCMXm50n8EjvttRSRAGwbpgA0446dj9JK2/c7MKWR924/kPFWLA6OrHS23MMrVojjpiK4ZHJYQ4FMMfWhaKgP7YhkWkwUDFqvlB92NuT+0CpiNSdOkRLQuJd4xgEAgFWXPjtb38banXqCsXn80GpTP0Don8Hg7G2JYl3LWTEzh72sqr6cFBEea0Kc1YYoDVkH4FHDsBTv+8GKxEQ01fzHmeEDcnJqu2SRLaIQXdbYYa8uy2IWusYpkM/eAXZowYOFQEtOko7BzGj5xGsNF2NMuXQZI3JQN31xXJWJ7FzvQNdLUHIFRwb5ETzAMprBla9R3e5sf5fvejvDsfusWLUBDW+cKcBh41+tAeC0MtlWGoyYKFRDwXPISSIeKCpHcc9vsQpC4gittld2OFw44s1xZBzspyGn9IJdarhK/yROmPXvgdzPkdTPCnl34bqpXkdA4W+ErwideCVK+LHX7ujNU7Jn75l43iYtpNTwCWmLLJjC4p4/s89UGl5TF6kwV80ERwZOxM8KQjGnruldBRWdDdjTVfTgLNRwMRFklfOFNFIegZ45fAGdklIXPKOwYMPPsi6DJYvX572GNUXDHYC6N+DHQiJdxfO/jD+9uN2ZujYKFwRELe5sP7xPrz3M6WYuWQgPJ7MyQMeZvyzQc5BRxONws29f1pxl49SZp2wVwhU02AavQbOhtTiuyNWYGNlzDdhmwpiq2MDu32s/L8wW7+woO0PHCvHWhvplo39bzjxzEPdafe3nPOj44EAPvWDalQk1SLEeaHXhhOeaHQk+ZSxxkFRxO9b+7DUOgnb3CcSBYcpxwYOxXIDa1scLo7619hPm6MEzW1TEAorYDF1o7b6BOSyMAup28+9gvL5n0u8Rl+5AL0qM5sFkc0IkwT04Kr+ba7TiAyKgvBeBcwsUpD9c6e20h2jz+NoTKhSGNROuLV0FAzhEBb3dUBhqCxokiJJODsaXsvhRAjQVy3Jux0JiXekY0CdCL29vazjgIg7AuvXr8cNN9zAHkuG/l1aWjpSu5e4BCMF5BT0tAVTVmfxiMC/f9sFk1WeMczf2xZ1JJJfMxgKt1tL5bD1hjNec8kpmLZID70p81e8dqIGGj0PX2xsbyZo1T5hphYqnQHWKXei/8QTzEx2agTmFDCV3uT3HDNGf+n8Db5b+ysUK4b2/Q602GB/+Tg8uxshBiNQ1lhgumYyDCvGos0TwrN/684o6EfvPxwW8fKjvfjYNwdGN7NjEkWWPsjmQ9H9XkHAGMV0nFd2oC1oYxX5yU6BQgTuaDiM+kOvstW5qW4VTGOvHVIe29F6DJu2vQ9NbVPBcZTwECGIMigVPqxc9BRqKs/A07mfFevR+GKVsYalHiqXfI11hEQLEWPHFZMqNo5enbFlsMl2Chyt9pMMu/ZUCbWE5DxG0os4drYdYo6Az5aSGizoa0dJvBsgC9R1EPL2QlcxF87mLVFRp8FfVI5nRYe68ug1U0LiXecYPProowjT/NMYP//5z9nPr371q9i7dy8efvhhtjoh755+HjhwAJ/61KdGavcSlxhUB0CRgqxwYCOPMzkGSg1fSJQW132oBM881IWAN7WAkBaQlhI5xkzTMA0B6k4YP1MLWVLfHk3mo44FMqbZoDoGjS6a8rBOvAUqYzVsZ1/EQc3pPFkMEdscr+HW4rtRKJ7Dbej42UaIgggu1mbpa+yD/6Ht6N3TiF+OGg0jqQhn26MApudARZmk5RDHHo7AGcldG0DvsD0g4PvV78GrtiM4eqgZNfutMLjVUKucKK3cBquple1cCDphO/MfFgGoWfUjKPTRGoZcPfw0d2D9huVo6xwfPVaRqiGiBEMqbNx+N66/8mGUFrei5xBNNATURZNQPv/zUJlHY9TqX7CBUSQuRe1/ZExNY9ZAUzI9LVpAjwvdx8hrTLmf9ysKSj1x/tyXRLdCCcfolZiQRcOA1B17jz4KX/eRlEFLQsjHzh24eOhMgKZoMisa5Fg47cKh7pJD3mYc8bYwJ3WcqhyL9GOZtoOExFAYsW9MVVXqSkWni+bNamtrWaHhL37xC9x///2488478cQTT7C6g2uvvXakdi9xiXFivyfnqp8MGbUEUvRAJh+4uJNhoyhDvsLC4goFJs/V4gs/GYXt62w4sMUFn0eAwcyjfJQKjaf9eP5PA4Vf1Op488dKMHXBQGva0utMrBVyy/NRCd144R8d24LVRlx9Z1HKPmnQD93aGz4FMWLPemx0UT7lO1bAWYo93xdCx682Q4gI4JPed/z3yIFWzHAq0cBVgctzXhx94RTHQF6geA49TxGWo/JPZag+bGaTinlSLOas4I6Ogbv6GPSLngIni36gQtiL1u0/xOi12esGSB2yY+fP0HzagdYO6kjIBK3qIzh0YhWuXvFo4l5//xm0bv0uaq78CYtMUKU93fLhad+DqbYObCtKdVjCVi+4aM4nJxFL9oLUOLoJN2YUJSKnoHXLtwYkn+P79lD6R4Rlws3geAWTW9aVzYLKXMce90YC6Au7oZOp0lonC6Ur5MAD7S+hI2SHLNZstgHH8I/ebfhKxXWYrBla3YvE5c1b4krq9Xr88Y9/ZMWJ//73vzFx4kT86U9/glZbmEyrxDuPUEDIa9zp8UhkwDFg7Yk/amfFYPlYfbuVXZxNRXJc/6ESdqNIFLUovvpY+phjtyOCf/2qEx+6rwITZ0edVnr91e8rYuqEVPhHbZA6o4y1BiYPLUpnZPXxXTvOQ/SHs/YO09mY09aGBhbjzr1vOv5kjHIZatVKNPuDWRfLZOqn6zV44fdNqDoSNfzkFBCcGD2qYOtUeI84oJv9ysDrfL3wdOxn4fJMeLsOw9d7HI2t14DjIhDFzCtjur+1YwJCISUUioE5CmFvL5yNr8MyPnfYfnCRY7Xfh3GufpzXWyDGDLh3fC/C+gBkbmXGOgNKPRVPCKM+j2NAqZUqZWZtDIoUZEwZxM48pUlGX/sQOFnUcSNn4PHendjpPpeoiRinKsP7ihZiurbweo6AEMIP2p5Hfzha5JhcX+ERgvhx+4v46ag7Ua6Idl1ISLxtQ5RICjkuh0zMmDEDzz33HI4cOYKnnnoKU6ZIGt7vZmjVni9sS0ZdoeQSksTUnhgKiDnTCDIZcONHijEjQ+Fi0C9i01P9Off56r/60vr4aYV9xa1W3PyxUqy+vSiPUwBM1EyjWvKsj9Nj9JxC6TvdBSHHyp72ZPYFoORzpAQ4oHK0CsUV6cd+a4k160dB2ybH4Uy3B5V7IykRi9TNcwicWwAhqMrQp58ZV/PW6LTHYCFFxhxC4cHHLjLHYCiwuRWigLuaT2G8yxa9TxQg4yLoufUoeToAN6gwkad6kjCWjv4drAEfuCweLTkF83VjYJanL2ionoClD3J8eak7geooiN6QC99oeQpvus+mGPLzgS78qP0F7HKfK/g973CdRW/YnbFwlOpFQmIEL9oOFrw9CQlpuqLERWHOSkOqSusgyA4uXmtKhGSp/dDrzh1loNXw//yhDouvyVz0Ri2RuaINtG2qe+hqvbA22VXmtYlCw8xwWGFaU/D2+kMUsy/geYszOw/xl659f2rqIw7pFdxVFn0s/pHEf1aoFPhyTTnOHHQhliXIjqBAuGd0yl1hf3YFwLDfHi0SNPRCzBPGV8gDUKvSRZZC7jb0n3qGaQYUAqn+ESohgg81Hcdnzx7Aiu5WLOprx1rdTly96m8oKxoYV8xxIupGt+PGKx+ExdiDO1pOQSFQSmeQ8wAOVrkO95QsH55eAdsZzwY/Ef/q2wlnxJdmzOMdun/sfh1BYaBmKxe7PedyxpHIOdjkPI5/9u5ApJDiHYnLHqkqReKiYDDLcdu9pXj6D93xIvIE5AvUTdZgydoBA9902p+3E4FaGKmtLxuULkgWCMq6HUcEGH7nHWrVY3FXycfxeM+fWXQg7iREowgcPlb+hSF1JDQFzZiJxqyP09Zbyw3ouUKGkAIwbwf4cNSA0NkQdMAdnyzDuOnZU3M3l1iwwKjDZpsTbf4g1DIeC4x6zDPq0BYIsq6GghBS0wEKXaq2QcQnoH+3G8G+MPz9syEYWjCu7hD2Hbk66+dCXQoTxuwFH89fpCCi/+TTTHSoasnXE2H4bNBwIiNrL6X2SBEVfg+7JSgBaq76C9xeIwIBDbQaJzTqAYek2ufGp88fxNaSGhwxlSDC81BFwliln4Bby1bClCFaQPDKAmoDKHKh1MMd8bOIQKYVfhyfEMRuz3ksN0zMu1mfECpoNgTNwqB9f6rsqgKeLXE5IzkGEhcN6sk3Fcux5T82nDsSzd0arTK24l96nZm1A8YpdAJtrudR90E+pyD+vAtluWk1RqvHY4t9Pc74T7BQ+xTtzCELHFFa48RpI0ZDDT38GUN4dN8Bcw3zAuzLAMd8QHsWkPmAkBlYNd+IudWZNSGSqVApcXd5ccbtd1UUdrwyS3vKvw01Ayvo7k0ONP+jF0JAZMX3ojCZEi9QT96KRbPWYefBm2JuDp/iFBh0/Zg1ZWDoWjoi/L2n4GjcCPPY/AXLJTM+HE1DxLUnmGcaYRMRRfI8xQj0Wge7ZXx9wIf3tJ7BLa1nEOJlUIoiSqbUZXUKCKWhGgpDNUKutuytD1R0WDEfLWFXTqeAoALCzmD2AtdkRimLcM7flXeb9OgbrlO43jwLNarM0SUJCUJyDCQuKmOnatmNagioA0Gl4TNWdI+dpsWejbHphRmgl5BYUbI08GCM0wIQ1CHWcpZRyIYTUTtBk7eGoFCqVbW4u+zeC9oGKTP6PCLWYxquxVHoERiIBMR+7sFo2BUlkMViEyT/75sWffxqqxF3V5Rk1ZI4sdeDPZsc6OsIMbXJWcsMmHuFEWotn+IwCBoenWoBpf7M+UWBWhUrmiHTR/P2cdVBXXm08LB3uwuNDw+E06MiinT0MvhPrELdtE3QLP0XDh67EjZHtGNAJgth3OhjmDvtFahU+boBRDaoqhDHgNr/Smd9jLWYutt2Mw0Eha4MAVcr7GdfRCCgxpmGOWhsnYpwWIFiSzsmjduDkiIy6gPQN01GjgQng5gnrM8GGk29Cx27fpb1OZbxN0KmMkCbY35HHDLyGr6w7+lq01RsdB4v6LmUEtnqOo27VZKokkR2JMdA4i1BoeShyHGdmzJPB5NVBqc9krF+iyIBy2/MPdnvaece9N3gQ8nTM1heNdk5EKngjBex/P1vjfwsRQKofZK0E8gZygZ1ZMjkgCuswTOYi9HoRS16IYcAG3Q4hXI4eS3mlerwtUnF2OFwoTcUhkEmw2KTHqXKzKF1Sg089osO1hIaT+XYesJoawhgx8t2Ngo63tYY8YuofBQ45AdWUn5+UPERGSmfLoLKuSTwFBUDoEmJNHqYjDBpL7Q+kd4JkozvxAqMuvkB1F5zAm6vGeGwCnqtbaALoQBCnk7WAskVGF6itIJ53HWJf9s2/w/6+kvx6hsfRYAVRNJ74WB3luJs41zMmroZc6ZlGGgkRiBT5Rdzou6MsnmfR8/hv0QFmeInnpPBMuEmWCffzp5XqjCiTlmMpmBvDuEpEQv1Ywt6nyRVfZtlHp617Svo+fkGZl0saJT58b0e1rFUWq3CtIU6dl2QuPSQHAOJSwIykB/+30r85Qft8Lgo3DtQMU7iRStuMmPm0ux5XOoFP9DdCtTy6LrjMKwbx0PRPxD6DVQ50XfDKZwvnYopGP7o4HxQVOTNV+148xUH0xQgaJbBypstmDw33SmhmgnqsDi83YWIIMM5lLFbCgIwe5kRBrkMa4vMaQ4IGXzaL6VI4hfazc/048yhqAFIcbTEqFT1Y7/sxGfur2Yr3X2vOxHojT6JegDIHNXGHAQaH0XTAcpXuWCZupCpEerK50BTMi0R+fE0BBDszVMoJygQap8EVd1hGHSFhcgHQxoAhToFmaCo1YatH0YwRE7BwHbibZSHjl8Jq6kTdTUn0l7bc/ivkGuLoSubmXMfhpql0FXOh6djH8KeHlZ7oK+cD5kqVer6dusC/Kzz5YxjoelfVxgmo0SRXR57MHcULUSFwoTfdW/K+1yr7K2dzRDwC/j3bztxcn/USaW3S4GYF//G447PlmFShr8LibcXyTGQuGSgYUFf/uUoHNjqYsOCgn4BFXUqLFxjwqjx6pyTGF99ugejzkXV6ARlGM55rfBM6gYf4RE2+REq9bC8rS3W630xIE2Gf9IqnQxy0lKw5awfj/6sg03wo9qKwcbKYJaljX6OQxfSMVM0qJuUPjr54FYXXn/Ohr7O6EAolYZjEwJX3GjGzlcdWestaF9t9QG0ngugZrwa+99wxCo2OdD6/WTsljgGDgjUV2LN3fMzv+8cstJJRwyRGeThwkFpHs2UFKlWwN93Gt7uwyzErzKPYcZ38PRG6mSgyYUcJ4PCUIGWnqXw+XPUYnACdp27Eo5pPRjjsbO5CAOHL6Bz1y9Qu/a3bOx1LmjioqE6d6i+tvFNvKfnNF6sHIcgz4MXRaa5QJ/CXKcdH66ehaGy3DgJp32d2OQ6njUSQdGfFcbUYVUXm8d/1YmzRwec1Pix0chz+nu593vVOf++Jd56JMdA4pJCo5cx4znYgOYbLJS86OKDcph2joL2XBHa7t0DUR1OXBQtOQrILpT9rztZ6H4wcQO97h+9mDRHh6JyRcIp+Ov97Wy0czamzNXhvZ8pS6vL2PR0PzY/M5DvJwI+EdtfsuPMQQ8CvtzGmhyOhpM+VI9TwtlLtR3p0tTJx++yZ48IqMoKuYxw4PW5NSZyIyLQfwb16+6FXG2KtgcyeeFoqL9XZUT5wq9AUzSRySL3n3yKFSuK4ei5laktaG35YE6hJYg8vN3leLpiCiCPYJatCze2n4eShVxIXyMEV+MbsEy8+QLeBxB0d7BaB5qQMMXZi6OmEvQr1VBHIpjm6IU1HIRbuQ7q6R8c8rZvsc7FHm896z7IVIy4xjgNVcqLFzEbDI09P3M4S+qCVEY54PVn+/Hhr0nKjJcSUoJH4h2L1xXB83+O9oUPXh2TYp+iRw/LljEp9y81TLhox0Mjk3M1lJMx3rt5oBKeujXIKci2sqcJkHd8viytRoFGQQ92ClK0Goag0+DtPACdmuZF5HIkRCY8RXMn/N70flJ1uRJ6imhkvZoI4NROKMoKF+3JihAc0AygCsfYqOhIwIX2HT9CwNHCftrPrUs4Bexxvw1BJxUXZv+AKKA9lcLyf52P9/5lPmTHF+KpkllJZ0aEo+l1+PvPpolkDQVX0xuJ9hqVIGCerQtXdzVhRW8rrCE/W1Y7Gjezeop80HOolZOEoNzt+2DlVWzmxaRBEshqTsHSFx8pWZFoh2wN9jP1xYsJ6ZNQOjDr8cek0SndIHHpIEUMJHIiiGF0e/bB5W8Ax8lRopsNo2psxs6Ct5qD21w5dQ9IG9+wtxr9q6m3T8SN5tnD0qKnzoGDW52sa6K/O1rdP3uFAQtXm1IkiLvJIIu5L4LtzYFELcKu9dnD/XElR0qpzFmRmmvet9mZqL3IsqfYjc95LKMna+Bs2oKJY0X09FdnPxBwTC76hb/14OV/9uI9nyzFzKUDIfkmfwA7r+UwsR6QhwZmPESh4jtAt+A5cNlkFUeE6IqeCv/8/aczPqO0uAnnGjOH6KmmYlZsriTfYma/VTVZEXpjLJrW+DBaF02uhD2dbB6CyjwWFYu+zAoch0rI15f/3YR9zLHhSMkxC56uQ+g5+DCb5BiHl2thnXIHvjXmZnSEHMz4KzkZm5Wg4hUslfZk3y5sd51BOObyjFWV4g7rQszUjcJI43MHIDLnLfegKEobqtTSOvVSQXIMJLJi853C4c5fIhhxgmN/2CLqbc/ArJ6IWRVfgVJWeHHUxaCnPRhvUc+KzK+A1qvFjbXTcIsls6Z/vgsWzW9g4f7YdD7qNiDp5d0bHLj3u9UsNfDGc/35Z0MAOB3ywx2JIGwXmNJjLkjwqb0hgDnRRV6Cno5gDqeAvTK2t1TNgMSjPFjtRvU4FVrb+jG2thGn6+egt7+aTT7MeOyx/YWDIp58sIs5RCSodNDlwc+bOiDqgAMfAZZvBEafH1iXy4raoJ2xHorS7AJOI4YosNqDbIwddQR7D69lHRHJSow0+YDcBepiid/LfhcBRVAOfsPtEK7/KXjlQAQi4GhA69bvYdRVPwWpErzuPIkj3mYWvicjfJVxKooVmesZZEq6P49jzctZLUU2KErQsfOnaaEyGm7Ve+QR9kdROe56VCoHUnL2sAffbH2aOQfJaYbzgW78uONFLNKNZZ0Q7kiAyTTXqooxSV1xQYsAnbIeojiomHYQSpUIrX5kJkxKjAySYyCREU+wHfvbfwRBjBZgiWzUThSH/yz2t/0IC2vuBx/P874NFLrC+NX4u2DSp19kgwGBhTFJUdFcFBvNnDTpkXj18T60nIsZhKRrMF2P6XWP/7oDN32sBBuezJ8/py3bK0Q83tmHO3WZB/EMhsZDD0aj5dPUJAcjkwVRWdqAlo5JTPY3YQg5wFgkx91fLmcXfLnaCpmsAWtXPoLdB6/DucbZELLl4OPvg/LCz9lQPUWN/2vpZO4HnZq+EuD5uwCdC9C7AJ9WwMLwSay0vQVOQYLs3hm1Rq5Z9k9s2HYPIoI8cf7GpjW3DsCLHLigAsGG2VBP3Jm0Gxry1I29zevxe7ETQTESizcAZ/ydeMF2EJ8vX4NF+nFp2zTULIPj/MAwqjQ4HobqpTnHMfce/WfMKcj8fvtOPAlj7ZXgFQO1I0/07UpzCpLZ5TnPbslUKSz4QvnVzEkYDqOsL4HjPppT9XLqtAbI5NGR3BKXBlLsRiIjjbYXIYpUcJZpMIsAV7ARvd63ZjBLS6APGxxHscFxjP0eZ+pCfc5UAqE18NCp0wUUdq6348efasDjv+7EC3/twT9+1oEHPtOIIztdiedQAR8VFGYzwLRqb2+M5vtz5VHj0JmU9wFb7S7weg4VtcrBnWqp248AE+ekt3JNW6TP6RTQfL2xtUdw1bLHcOXSx1Fd0wNziRwVo5W4/kNFbFR1XMPAWHsFiyyQ0Vy24HncefMDGF1zlF2ws74PAWg44cPrHQ74hbg5HMBjALoqAaeZwy7zYqowGHhwUOfAiJOnnbG8tBF33PYEllyjgaVEDkEfRCkn5r0QBjvTDZdLrsCD4WYExXDCKSDI8NKK+zedG1K+r3HUlrHQVS7IHDXgyOlTshHNg+kOOfFo73Z8tv6v+G5lOf5aNxUnjEUZzTxNeaSWyTh+IYjt7rN51REHQ2Ocv9v2HBvrPByUfCcWzVkX+1fqd4oKQQ36PsyesXdY25a4eEgRA4mMdLp3MgcgOzy6XLtQqpt30Y6BVje/7dqAE75UGd6pmip8vmwNasZpMXaaBuePZVfN87oE/N9Xm1nofPRkNWYvN+LgNide/BsV3KVCEYAn/q8rGkbmgfrj3oJGQLfV+/OE9qOQGTAcASIGEfs9LqZt8MRvujI+Nx7uH9ymSFBnQ0WdEl3N2VIKPNxuCwJBLUITgmhdIcN5WbSr4ITcjh6PiOvVFih4DuqyWeBLZiHcc4RNfVCrfFCrqKUz//s+fmY3+JLRELJGjTi45AYYF/0P9IIfCkMlbKeegbt9T+5wxwWgKZoMX9/JnNtXc6cxyfpNrPz65/B023rg1+8BcsgwsFhChhTLXmsFwrEWw2y86jiCT5RG22iTKZv3OfQc/htczVtixxrNUym0pSib/wUoDanFgyd97Xig/UU2KZEZd7kCDXoT6g0WzOnvxC1tZ1OdG45HODBgzPvCHoRz5dyyQPuisc40nfHjpeRE5oYGQ+1yn4cj7GVDpyq1VkwetwcatSumelmRiGiNrzuIOTM2Q2/NrQ0h8dYjOQYSaVDFdUTM3kIXRUBIuHgKarTC+V7bc2yVRHAhHiIlfeUiu0h+r+15/LjmDtz4kRL8+isD0/IyQX3+fV0hHNvlxvrHaexy7n0/8RtS2Cv8WIeSguUigGU78OrWXlhK5VhyrYmJIcWLCeMpgpIqJT50X+b8LokifeTrVfjnL9rRfJqKGeMiyom9oKNnNJ55/fM4fa+eFV7GsYUjeLKrHwecXtRqVNhmd8Jvfi+Uplsx27EPy21bYTL2ZK01GECEd7sBoIVtnmySsXQatDQvm0Ztj7kG7rZdGHk4qIsmoWT2x9H6xjeY3kF250BkhX2du36OebwM56tXoaypCHy298wJkBenf8dOGyxMeyCXUT3gacqqdVA255Momnw7vF2HmOaCyjQK6qLJaZ+5XwjhZx3rEGARvKR3EYuOHLCWo8brwnxbZ9KDAuSagXSVtkB55WzvY5vrND5WsjJrvQFdM0h58dn+fUy4mwaKkQsjrx2Hqzt4LMFJ1FadhMdrQjiihE5rh4IqVen7MYr0NiUuJSTHQCIN+uPXyEvhC3dnfw546JQFTt4pEJLxpWI7qtg/ZjiLzqAD+sMVMO2og6ojWujor7bDsawRHdO6sN11GsUNVE9eAOJApX/epw6xeL6QqEIcdlmN2St7bxgHtrjwie9UMpXCnvYQlCoe0xbpMHG2jskpZ0NvlGHN7UX4yw8pmpL+POrVD7h0MO0H7EtTH6ejPePz46zPn1jtBjkZ9poX4rhlPu6JPAzZ4TAiEbo8ZDsGDv4TpbDoOfRdnf29jtOoE04BoSmeDMvEW2E7/Vwskxk7GfmKJgZB1fdUaMd+V+hhGrOGbZcMbtWyb6Nt+/ejssRZib5ztRBGTe1GhBvvyvE8Eeox6XLDQgEqjLnHc5NssxXGuitzPudN11l4hRwtqKKI7cVVmGfrHCielGugqxiI5lnkOoxXl+Gcvzsl7VEo5JRQF4Miixf4gv0gnurfk/g3OQVEmANerhwDhShgfn8H9LrklAQHbdksaEqnD/l4JC4ukmMgkZEa09U40/dY1pAypRmqjbkvaIVCw35ImGfrC7aBSn1Og2rrUij79NFIQQxVmxFlT8yCfeV5bLnhFG6NjHyL1VApxNnIBNlB6t8+td+Laz8w9OKu/VvytC2KgOEAOQZZH06BNuMVefyn6lqsnvc8tux+b4ZoRDIcjPtEOJYICGeoKhdj454HUzTlfUytkLQG4l0Eass4+PtJ56Aw56Bi8f9ArrUy5UOFtjhF9ZAGJgnhwrUcDGXH4Zu0Df5Ty9lMDdLAiL49Cr1z0C16Crw2fcBXrceBLrU2q4NAA4smqitShI2cjZuZGiMvV0NftQja8tl5ZZ5PD0qlpcFx6FNrEeBlUMeKbkqmf5A5ScncYJ6NX3W+iuGg59VQZEkZUUTjuf7ccxo2V4xlKQ9Z7FtHn5ex7ioUT/vABclcS1wcJMdAIqtj0OXeBUeAqpTTDd8Yy3ugU1aNyL5eeqQHuzYMuvCKHHMK4noEceIXbfOWsXBNOYrqcW+/lOoFaN0w54D0GIbjGDh6wzlrGyg3Lhuifg1trkUzCvoJz2Nx+AXs3J9b5Y9qFItPedE5zwCOwtcBDtMPiZh2iIPFLUBuaETDPBfKrq2EtnQUwn4bM47e7mPs9eYJNzMDEfH1oG3b9ws8Sg69Rx9B9crvp8kgE97uIyQEUPB7pui4duZ6yEvr4T+zGJG+GoAXoKg8BfX4nZBbkkL0SSzs78DuosqcIfi15hns9/7Tz6H/xJNJg5V4uFq2QWmqQ9XSr6fNUkjGJeRL60WhegeZ2oriae9nnQ/JvOE8iT/35BptnR1ycGiCYzaOeFvgj3UvZcPFcwhc8S2M8bmZRLW6aCJkyqFriki8NUiOgURGZLwSc6u+ifr+Z9Dq3IiwEC3w0yoqMNpyC6qMI5MXbG8MpDsFBSDyAgy7a1C6UonRUzRoOuUrqADwUiSffHE2DBZ5HqEjIDLM+TSdqgqUGtMLNAdDrZArO7eD67DjDD8D854eB51NGYsxyBD0c+h5pQh929tQdPNfIETqYyOMo96Uv+8MkweOTx4sDBEBez2rutdVLoS//ww8HfuZwJHKVMcq8oeDsuIsuxVKScCHm9rO4T9V46JJkVj+nQwpOQUkGjRFUwVXy/aoU8AOXUj5GXQ2o2PXz1G14ntZ8/eFjl/+x7SrUKUuw0pTFeaIAvh4DYKnEQ91Z5gaWSDFcgOuN2ef3eAVoqJd+Qgo1NBbpgz7OCTeOiTHQCIrcl6NCcV3Y1zRHfCFesBzcqjlJSOqekizDvIZt0xwAg9NR1S85fbPlOKP32ljUwMvZPV+MYifqlzHRUWImSD54VMHvEz62VqqSNNZmLPCgCNvZg8JUKDFNfRZPAwFx8FosOVJJdD74mE2dqPGfRa122ciZB9clxA1ToLbCvvmeTAsHyxARFN1ODbbALwCEHKvPJO3SzLAtnMvsxkKyXMTONlbF0Wigr9yvwcHJ63BccHJ8veT1JW41jwD07U1rCiPogUJdaxMokz9ZxCwnYPamrmXnzQEdrjzOyztghed3kbs9TYwh+S+iuuh5hV4un8Pix4Np7aAagpIYtmQ45yWKXIPlYpTXuDzJN5+JMdAIi88p4BOeXGGnNh7cofDsyPCqI6KFhmtcnz4axUsJE86BG57BJHCI8kX1SkoqlCgtz23sVt0dfooZRIQeuM5G5Njpu2QY0Fqg7feW4Ip86Ih2HEztBg3PdquOdjxIGcrYgCC5UDZU4CG1AgFwE/6AgsAz+Ts9p6cguVz7oTrwO9QXXEGbZ3jsgweEqDVuFBVdg4RjwmhNpralyVfLMrY2OWIxwxZ2tjlaIGfTKFDJFDoSGYBvr5TLEoQ3cRAK54YKWwFC1IWLPS5GYka+1ljbsSqupsyPoPkikOutjyb4eHpPJDVMZipHYV/9SWJK+UgrlNAnTuP9GzF7UULUR+IzZYYBvTdM8myD9giSB2xTG5Ed5gco3QoglKnKkaNaujy0RJvD1LVh8TbCgkQFSIONBiKWkyZp2NSxCRM9Jv7WrDtRTtUahlu+2QZrrg1WvSWXNf0Vtc4kbFeeZMFi642Zr3ojpqgxtwrUqVzNz9rw8Z/9zOnIL6duM7CY7/oxNnYtDpqW/zAVyswe6Uh7RzWTdZg5Vozyv4NaM8CfDjqGKjbgLJngaL1mRewZOquKTLBYqlDzZU/xc2fHA+1hs5d6pNJAInnRKxY+Ax4XkSEzVrId4I5hPuyzGQQBQjMSOeORkVkgK0E6KwFOqoCcFgECGm7LXBlHAlAWz4XCv3wumsUhipUr/wBLBMyOwXsSFjaJB9cxudFRIFpeZTIDUy7I7diwqD9shbDM+gNDj1NlwwpOj7RvyuvM7LKSCmCdPVIcgrknAwfL8mvgSBx6SBFDCTeVmgYz/43BtQGC4IDFCqg/oQPDSdSpxPS5MGnfteFVbdZ8IGvlGPbS/bEWOOaceqcI44vhPiqPvkYJ8/RYdZyA+asNKCoXIltL9rgtEUSkxMXXGXC6jusUCgHLJvXHWHOTi7WP96L8TOj3RjU3vjeT5XhmjuL2PkQwiKqxqqZlPIvvtiU0h7JDit2jKZ9gG804J848Bg9bbnZgLvKihLOV9WkCfjcAyG89u8+HNnpTihNjhkfxnT9QSjr58J1bgE48jwKOk/ZjRtJAOcKdzNFRXrbSdbHawRsZUB5I6DOrnOVFW/nfuhqVuK+h5tx6PAxfPG9o7BmXiErWw6mulVZV/lxqGOCV2hzt06KEajMoweOSQji+f792OQ8Dk8sf18mNySldXKnd5JbBrvCTtZNQMJIw+U/tgNYbpiIamW6jPdxbyse7NoIW8QTS1ekMl1Tg/cXLx62pLLE24PkGEi8rZBy4ZipGjSc9KW3sSenZZN/F6lFkJQJMxj52HNef9bG0guf/F41a4dkDwnAtz6QqgU/ElxxixnnjvrQej56ETcVRYWLllxrTmgRLL3OjMVrTUyrgGoHWs76maH9zX83syFM81ebWATkxB5PzjQIOR8kw9zbHkRx5UBRmsEsx8wlA5GHVx/rzZrWjkdP5hxTwbREA1s4DLNchpVmIxM9GoylVIE7PleOmz8mwO2IgPdE0PSrTgTPLESQWvoSXSN5DBYXgbwk+9wElbEWIU8n61wY/GUIqoCuuGTFoF0IMqBzNFBzGpANw/799R9P4tDhjswbz4G+anHe57C2vNFrYD/zYpZWTA68Ug9F2Wz0hz2QgcP97S+wqYjJ8sVdYXKeB0Y8FQqt1lcaJmGz88SQ5ZCTV/2bHCfw4ZLUTod6fzd+3P4iaEoEkezU0RHO043BVyquHdY+Jd5eJMdA4m2FVqUf/O8KPPtQNxsxHL0vagBLKhV476dLmRHd+LQNfs/QihH+/pMOFjlYc0dsBciDFfCdPeItKNqc7JMQjX2vYX/zr9Oe90yGkRF/3QjgK6n3ff8rz8DRbkZrvR/Jbfa23jDOHvFh0hwtasarCyrG9LgiyLUGaz7nz6kXRI/11gfxuYoaFIpKw0Mh53Dkh20I9se8l5Tag/hQn0wzAAQoaw+BV5PccmZ8vSdQNO0DTPxICKXKMjuKcthEDiyd4LIA5vyNFCm8tq8Pj26IOwWA0kAtuPlDD+Zx16UoC+bCOvE2+HqOI2Ab1PrL8WjWmvDKuIVobfprSjwgM0Mv+h2nLsM0bTVrKewN0xxIMcXgkzHP96dAr+kMpdd+PNO/lz2WaQt0z15PPXNwMkUaJC5tJMdA4m2HpiTe9cVyXNMdYgqApHxYOTo6J4AcBxIAGm5LH0UOyNBe9d6oZVl5kzmRo88FLYIdC6IS+ZbC6r7ysnO9E1pFenV33IDTpEeO5woqxqSoxFCnMg5m8CTJQujf7UawN1tII8msUUEDnbzYT3lxE3RzX8q//ZNPoeaqn8Ldsh22My9AjPgTKYN8dtFrKNwxoALPJzZ34bGNHSkpIPP461AyuwiO+vUIutppjnFqCJ+XwzLuelinvG8IKo0qVC3/Nhz1G9h2w94eNihp65iFWE91fcKAszRSTTVk9KlosVQRrW/5Yc17mSEnPYO4tDKNh36PdT5+2r4upw4BbUvHp0aSfEIQB7yNOY+XXrfDdRbvK1o4Qu9K4q1CcgwkLhmoJW/R1aktTZQG2P2a44Jm7mx62oZZy6J5/jFTtTCYZXDZc8ecqf+/f82ATTDvBCy6CZhW9dHEc0ZNVsNqlaPlbICF2BVKDqVVCsjkPISIiM07H4PLE11pVZoWQyMvyblPMlDnj3mhUnMIZFFTpBTAmCmaxHTEbIyfpcS5o96s1pScpUlzhy5yYN/vybOs5VjKQFFxGoLXDF7rgGr0AShrGmEasxrOhtdyFOSJzBHw9xyHddJt8HYfhZ8GIsUctZxknnOUkX5XCP/3dDP2nU4vzCPxHVPdlezG9isKTDCJqRUqtNCVzxmWMA+pEFrG38ButM2j3las76D0wshDp4ocgk+WDiiTGmUafKRkBe4uWgJHxMu0EfSxFsRlhgk5Uw10/2LDOAh0LoQgVLyC/cznxFDNgTvm2Em8s5AcA4lLGooUJGSSL4C9m5xYe3c0+F5coWCGPJe2QEIYiANsVwLOeYD+eC3K3LWI6IHwVGDWdi1OH/CihAeK4/5MrG7wbPe/E06BSV2H+XVfLUj/geSVr3yvBZufJg2BdKdAruBw3QdzF3IJYgjchIcg19yMsF+dwWJS8JfD0mvNzPE6d8SL88d9zNjXTdJg4hwt63jIhBgW8y9rRR76ZY/HCg05lC/8KrSlU1ntgOP8K7lfy8kQdLXB13sSQVdL4m6VD/CRPc52CkVAlScQFAgJeG5rN57e0gVfMPqd0qh4jKvU4mhDZj0IkuvVlc0CyjBi0DYLbT8cClSfQJoC1CFwlWlqxsFJSl6OEj61S4bEi2hIUmJy46BVP6UCTvna8buujcwhoPvmaGshhwxhZHewaVulitSOG4l3BpJjIHFJQxX7aRX/w4A0DibM0jKVxDkrjWg4mWMlwwG+QZNgI0bAEas1IzM7f58aZw5GLdHgaEaf5xSOtz3KfpfxKiwY/TUmFlUoE2fpUFatYt0H/V0Dq+tR49VsmmRFbXqBYDJtzjfg5Y5j5j02HPrrRxAJJO2bI10EETd8UoRSxeFXX25m0yf5WKkAdXGYi+VssmP5qPT9aOtUsO3z5HAOBMhM3YnuA7m2GPrKuex3nnQD8iIiEnSibfsPU06sqQ/w5bExxtzNHNh62IZHXxuoJxhbpcFX7qjF9iP2rI7BxYDC8I3BIRZD5IH8pe9W34bx6vIhv7ZCacY3q27GLzteZd0FMvDMdSTDToOXbGEv1tkPJ5wGNjXS2xRzL7MLJ9ExUTdDPigSERTDUHGKERVPkxg+kmMgcclCrXvPPZx9wuNQoNTBn3/QzjoDrrnLiu3rlOhpC6bl8ynEbi6R49rrrPh9bze7uCU/hZyCKrkC7u3BjM5KRAhib9Mv2GWVmFrxIRjVhQ96Umk4lI9SstbKaQt1TDLa6xJgLZVDo5fB1h1iHQkknJTtItri2AghwqN11yJEAiRCEFUXZIg8rBNPQF7ViYe/r2LaCES8DZFw9Ifx8Pfb8KVfjILelHqJKFllRNsz/TlTCarxA33vlE+n1AFV51OxHrXlBewN2U+AKMDXezrmFAzsROMCSKHZWTyovjH2e1E7oEzTKkpu7RvYlkErw/tWleOmJSWsa2Q7ChVVikIjkj3te1gNAg1D0lUuQCtvxpt9XfCGI6jU6rGiqAhGeeahQ8GCtA0Khwz5p8uuHJZTEIde+2Ddh3DQ08gEkaibYba2Fq85juGsvystkhD/N7kFcQnowdxVtBhmuS7NCfAIQSg5GXrCLtaWudN9jrVW6nkVVpum4UbzbOgKciIlLhaSYyDxtuHoCyMYEFghHfXjJ3N0pxtP/LYzf21B7jLuNHa+6kDFKBU+/q0qpndwZlAhYu0kDd73uTKmplhsUOC5nn4ccUer1HU8j9VWI5aG9HjI3Zpx+6c6n4AnEJ2GZ9VOxLiS7OI3GVXmihX40ScbWQFmRa0Si9eaWRHm+sf72DmJOzIlVQqsvr0I0xel57t9oS40broKXQdnR+8YlEroOzUJW/9qgctBrYbpx0HnnDpA9mxy4srbUivKlVY5Rn+yFA0PkcMWKzBk0IFxUFQfh2r0/sHvLPGbTE1FoNkdAxoCFPZ2pZ8bmsrYAVBTg6MYCGijn7vGHS041GRvdkh8QSwGOT68tgLXLSyGXjO8Sx/NZ+ja/4do1wSlPSDHv/s5nNJPBh/TChDddjzebceHyoy4pjRqrAPOFjjOr2f1CmREdaMnwVNATUQ2o0uoOQWuNk3HdeYZaQZ4OMg4HvP0Y9gtHtl4w3UqZ5sjPTJOVYrzge7E80iQiYoarzCSvCYS23rBdoA5Gu6YNgNFG6KOd/R1dD89Z7f7fF4ZZomLi+QYSFxUqPrb1hNmhs5SomA58pP7PNj0dB/rxyeoaI9EgNa8rwhavYxpGjz+m86cBj++DgxaozK/xqOFyr5QuNyGuasMuOd/K9nqm4SB6LV1E9UoqxlYqUzWaTBZVwVfREBAFGCQySDjOPS0Zx7S4wl04kz3M7F/cZhV8+khjZSlCERP60AkgnQR/v1gF+RKIBJKTaf0tIXw+K874f1YCRauSS3Y5MJmtO5cnONs8OirJ4OV/YzRvg7vcKU5BkTJSiPUpQo0//ssPKeiNQy8sQfq8bugGrMvRSVRoStnwkVEJOiBr/twznMQ8WdfvdOR6p3RW2GkfoHmTTSx23ChuoeO3b9MGoQUwdPlt+O0LhouF5LGEpOL8LduN8yyHkz2nET3/j/AI1fghMEKn0yOWlcvThiLBoZpZGCWdhQbYKTi5Kx48KS/HV0hJ5MoXmGYhKWG8awQ8GLxWO+bEPKMwaZoxQztKHy14jp0hhxsNkONsgh80vuiuoTvtT6HlmBfipORqdGRHu8KOfBY7w58quyqEX9PEoUhOQYSF80hOLDFxfT++7qirVBqLY+acSrWs598PQwFRVYcSJr/n/pBNV5/NleoOjVQoOwDFP1R50DVXphzQCJDFJ6n2QMkEpQsFJRMV2sQuzY40HDCx1IMVKOwcLWJCRJl6mw43vEPCLFWsFrrlbBoU1Xx4hN3c5Fs/OO/J2seDOalv/dg+mI9c6gSdKyFEMo3kS+/C+XxRCCIYspFPo5hsgaTvzEB9es+CTEcAsdnfmMhTxebFyDXFMHXe3xgtkFWLt0Rmf2nnkn5XnYrSnDCMC3r82kM9ZNtLfjk+T9gc9kobCuuZhMYKYMvsC8DFXKKGZ2DedrRTBwoOV10M6K1Gm8FNGtho/N43ueRaaeCRpNcy26ZeK5/X5pTkAt63nbXGXyweJmUUnibkBwDiYsCaf3TIKBk/F6BOQXE4Pw8hcjJgXjtyT6mIlgICR04qkhvH5oETL5L1N7NDjz/cA+7ZsfD9+Qo7HjZjru/XIFl15vxymN9iee7/G1osW1lv9MUyskVHxg4Tg4oq1GyGgGSZKboyUgRiQCHtruwZO3AICaLklII+WWmo0HqzBENKknotQj4/Jkm3F5qxRWW9HkPlF9X6koQdLXm3IujcTOKJt9e4NwAMCVAIfjWFQMWQiTggq/nWMp9J/RTmPEXs0SF6P52zohXyqdiV7E54QAIg76lKgEIxDZRoTDhfdZFWBRrD2wJ9LNuASoQHNxl0ODvwQl/G/syT9JUYqy6dMTe73rH0ZxpjDj0+HzdgJzzYMJihDkYQ1VdDENgEYixspF7TxKFIzkGEiNOV0sgzSkoBFpNH9w2vKEvQ6lltpbJoTNkD/G3nvfjuT/1pK/gBSouBB77ZSe+/KtR6GwJ4uBWF4smnO15PuFu1BatwTilElVoAKn/2xVGrP3sTJTVavDsH7tYJGV4EyXToX3bYhGZODWjLQU5BtmcgrizRS2a3lAYD7V1wx2J4Ibi6GCqZILugSr/zAjosbdiT58ddrESnHEuprmPQR3LM2d8RTgwsoUl+UhalfcdfxKO2SYY61alpIGEcLqzGuIVBQ0z3mOpArgMvZSxdhtTOIAfT/wsW3nTXAOKtm1wHMPz/fvQH4kWT9D9KwwTWUEfVfD/unM9zvg7E2OL6Cgo1//F8rUoHkKLYG/IBWfEB4tcx25xzvk7CzLm83VjUKlM/17EoSFQVF8wHKhAUeLtQXIMLlP8Db1wbj6LcLcLvEEFw9Kx0M6sYsp7F8rezc6CZH0zQTMQFCoOocAIXvgHsex6S9aKfurrf/7PuTsh6Dn7NjtZh4OzP4xTR7vQ3LeJPUaB4s+UTsIUHI2uDDmAD7bB88N6+L56FQ6/OVBAOBKQ46LWyVgU4uR+D9obAkzRsGqMCh2NgYz74rgIiqytsJq6caZ+Xvze6PZi//JMAbwTBl7zeGcfVpiNaZX2bPARhS0yQO//taI12K5fBnT0MjckUnoLXiq5Adf2voKFjj2Z3xRLN2Qw/pwcKmM1lKY6KPRl6D/xJEaEJO+PtBZ6Dj3MigTLF/xXwjmQqc3geEVKKqQk2JNSV5AJjta+fK7WWA7dShX6w+7EWGKaZkiDi5KhqMHrzpM46etgv/ex2Qmp8wmom+B7bc/hw8XL4BVCMMu1bCojFRUO5rSvg2kpnPYPOHYzNDW4u3gJG3hEXQn5oOLHz+apAxhuDQTVVlRJUspvG5JjcJkhCiJ6/rYLztdOUcyb+ofYT/f2eqgnlqLya2vAa/Plp3PT2x66IOM3Z4UBezY6L1i7IBNTF+iwYHXmMci0UqP2yPaG3Cscihwc2enCG/+xMfN1vutlRMToKneuaQImqaJ5Ucolx6/bgjuA9vvXQx2cjRByz7cfCnQs1Lr4k882Rgcc0fVcjDpl7PdB9lXkBUQ0YRz9QANmoh7ztnfh5Kll8HiiqYiIISoF7SAVW25Q3tfuwnUUEk9CWzYbno69GYsnNluvxDbL8sSKnLkPHIcwp8CLpTdBJQQwy5WtGHHgoM3jboDaOg7a8jlMQTCR7y84csCBkykgRoIFvCb6mKd9N5xNbyQUEGm/htqVcDZuTrzXqe7jeClyA/wkF5zB+HKIoFh2Br0cjRnK7XB3tb2JIsNo9Bsr0pyC5M+gPZQ9EkePUwvgzzsHRKTMMi0+VLwMSwwD9S5HvS14oP2ltIjAMV8rvtX6DL5bdSvm6Ubj5STtgvT3xuE680yoY+kNvxBCY6AnWsSrKmbKigQVTY5TleF8oGtIMZ7bLPMy1raMFPS3ThGXN91n4YkEmFIkdVHEJaQvdyTH4DLDvu5Y1CkgYlMH4z/9Z3vQ+fttqPzq0KuBKf/e1xGESsuzXvxCCu0GQ68ZN13Dhh6dO+JDf3coNZQ/rDEyA5TXKvH+L5VnjRbUH/dh/+uFjYDu6wwnjqmpf3Pi/puKZ2QO0JOPEBYwU96O7eGxGAnobZBK4XN/7EY4FBOfSVq807mjlIk3EIYY4CGoQnDNaYd9eQMixgB2i5VovcaFWyb9DX+wfomlD8J0XczwBjgxgm4f5f1THQOS+KWe/sH4eDW2JjkF6YhYX3wNZriORB2orG+SR9hvh8o8Br7uo+BkSqiLJjKjXZBTwPGQKQ0onftZBOz1iAQcUBoqEXJ3wX5uXY5tcEylMe4YsPc64VZ4Og4gQtMfIUIhhvHerqfxWMXdrENBTFplk1Og5+yYIN+GHq4u/3GeeArtoSA2VE8Bbyke9iTEwdgjXvymawOLLCw1TIAvEmQKhqQbMBjaJ9UE/LVnC75Qfg2rMxDpfWVwCijMv9o0lUUvnuzbxdoQ4zMYlJwcVxmnsLQHpUfeY52Hn3TQuc5NvKbhvdb5WJXU6jjSkBPzq45XcdjXzPYZ51nbPtxuXcBaLS93JMfgMoIMk+2Fo9mfIIjw7mtGsMMBZUVhbV0dTQE8/3A3Ws4FUqbwDXe2AbXHaQ0y1p3w2r/7WD4+bvRk8thMm2FA6Yl7vlaZU1lt90ZnYSqLSYtOp68J7kAb+92sMGGmYXTO8ztKoDTF0BwDinDQ5EmfW2BRADq3dIyzVxrYoVAaIdMx0/M8TgGddx+Cd3wvIKMK+KTHOQ6tGgNOm42IGDNXxyeeCx5KdxOA6pT71dbxKJ37aXQfeCh2TqJ6BtTCJ/C5Li8cXHIjui0zUW47lP1pogB3+264W7cn7qKZBUKoMA1+XcU8hD3d6HjzR4n7qENCpjLljRwEnS1srgFFGmxn/gNH/WsQQqlFkZM8p/GJ1odZdOScdhw7h3IEMEG2H7Pkb0DB+bAXVUzvIJNby4kixrjtMIeiUapeXmRFh7k+i+Hwj57taAj0YIPjKIIxvYVMkGE+F+hmdQz3VVyPn3e8zH5PnjRK7ZNfq7yBRSPI4B/xNqecSXr+q46jaAr24euVN2K2rg73lqzCn3pez3mMFQoz2+7FXrU/1L0JR31Rue3BDthT/XtYrcWVxim4nJEcg8uIQFMfBFeewi4O8B5uK8gxoCjBH7/dilDMcCf2E5uEmMnIsusd3U/XPhq+R9mMCFik4fbPlKJ2YjTMTq2Et3y8FNfeXcREiEhwhzZFnQLDYcWNZjz/l26cj3U8kGjQ0uvNmDBzoOCKlBALSl8kPafNMaB5P888DfI8F3R5Dm35TBgsMtbNQcqHQjEVTiqYKuL0hXpYShX47j3nc6dteBH6Y+XwTs5+3g5arBjvOcsMW9YKe5rW5ydhoqVpjxlHrYC2ZCrrPgjYzgEkbWtdDuTrTKRCT2Up8ur1DWpxFEL5p2PSl0tTMg3erkMQI6neJLVP0i3/NmSsELJ9+/cRsJNTlHSiYyExTqbCKH8L7mn/O5prVHAYlVBzXsi4gc95Kc7hdUyKRhm69VB2GSDKI/DX9UOuDOC6jvrEczWRcLSd8YJiY+k4BB/W2Q8VHIcgLYG5utF4sO7D2MJqG9pZpGCKtooVQdIApj3u8zjsbc74eopQnPC1YZf7HJYZJrLRz/noCNlZkeXFpCNoxy43jb/OznP9+3CFYfJFTWVc6kiOwWUWMcgPV+DzgA2P97HVfLboQEYjywE3faSYKQwe3+NByC+gtEbJFPxoLkIy54978cJfe5iYTxxaMSeHy/O+G5LLLVewCYvJBZGkmUCtk6tvt+LK90SLnNTaoV8I2u1vJn4fb57LTEe2Wn86HQ5k7vXOhssWwbFd0YJFei8djUFWw0F1GJQnpaFLOaHXBXL8mXMc7God3tu8Gee1Y5mxS3MORBHznPtQbs5+0aZVOLUkxtH12oHO/PMAPMZxQPfGoeed8iEKiAScsRbJ4W1bWzoT9rMvpDsFse2zH5GkSBkXgI4LpAUGRqMXYl8rzj97MxRNSRM25WGMmbgXJVP8iS/NdHsP9lvLL0o/xlBeFx+zTOqDN1hms9tgNjlO5GxpJEdik+M4cwwon58PFq3wd2F+THnxYnDA05hzvgPRE3ahLdifKAa9HClclk3iHY+yygzI83zkogj1mNzT+wivK4JTBzxDLjKk6+lLf+9DOCjiqvdY2cTDOSuMaU5B/XEv/nZ/OzOCyQzFKSAnYsp8HXo7ottIPtb47xuf6sex3S5seqYfHtfQVvOBsAN2X3S1J+c1COqW5P2DOomKIe0j+VjjjhZFNp74TRdLi1hK8vj2PBAuyr3C1srUmGgpwz3t/4AhVu1O/fm0Q5L5XWx/Ezd2vwh9dXq0IBvjtIUJ01itY2KV/yO7OlMYRyHoaLwgh0OuLYWj4bWCHQtVFlnmgNOAjj/dCUXLoCr7sBz1xxdh+95bEneN8dhR57azFMNgyAgrIMNkdSUuJgZexWoHqNUwF91hRx65ZFIxjLYfF/rpXuw1OqU5CtlHMEe65XJAihhcRsj0KhiWj4Vry7mBwsNkeA6KcgPUk/PPmHXZw8PuGqB2vw1P9OGj36jK+DithF98pDchDJeJwe2QpdUKrH1/MUoqlWit97OxwWOmaLD+id68rZP/+lXXsCY49nlOJtZhZu042DkDDqIGs9GSVihJ/+6UWXA2cuHze+m9UKFkZ3MAi6424dV/9WU/doGDc152ASIyNjQBz2KpxJgt38JXG3+Bc9qx6FUWs66BSZ5T0EV80FctgsoUHQblDDSg1bERzkAjc4jK9AtQYVjOfo9To1ZBAQGhPK7SJKMV5Yu+is5dv4it7pOz2cMvwIv484xazAsHIewektCSwQbYymNHnfThN29bjpBPAwiZIi4czjXOwdQJb6LI0snO1geaTuDpmok4ZSxKmSdgleuYTgFV/X+z5ekRn9AYxyUEcH/7C2zPc3V1uKd4eUZtBINMw0SIcn1K1JVAkABTvpU6yStP0Azdcc4FXUso3UE1D+djw6DyFXbKwaNcMXzp7HcDkmNwCdHW4GcSvKSOJ5dzmDRHhwVrTDBZR+5jKv7AfATO9SDYak+97vIceI0C5V+6sqDRp1QDMFxoEUfqhk5bGEZL+nvrbA6iqyWY1zje8vESFFcooDXKYDDJmLSy3ixHUfnARYzOZSFRjeE4OTbv2cTvcfnjg6iDE1rMQAssiK7UfVDgBCpxTKjOKSo0FOgjOnfUi0XXmHB0txtt9YGMi+OVt5nxepUGzUFv2gWRnAJqK7vWNANqhQGVS/4XXfsexATvWUzwnU+strUVc1E651Ps93N9T6He9gzTa4hPkOz3HUN9/7OYV/Vt6JTR1aySAxa5DmC7fk7GugWKSJQFu1DrC0JbNgu11/yGtQJ6u0ldUIS6aDIc514sWC1xMBesnMjx4LNI/GZDJgBlTUBnbXwb0e9V5/65WZyC2NO4CM41zkaRJdpmqBZFfMInB6a9H4c8TWyVW6cqwUxtDfjYuaTK+V8ktSVeDMiIU+idwvs/rrkjRQCJoHkNuVIEdBVZaaTaCqBIrsci/Vg2ICmTYY47qHFHYkSOXxTxWN+beMl+qCAVx/hxLDVMuOylmCXH4BJh+zobXn60L2V1S8p629fZ8eGvVWDM1KFdpLIh06lQ/f0b4NhwEo6NpxHu9YDXKWBYPg7m66dCUZw+rS8TNI533AwNy9UPN1pLffeZHAMSDSoEamc0F8tZQSI5APGOiAkzNZi51IC6yRo2VvdiQR0JccyagW6E8yjFeZRAw9bLArxQRfvYR1KXIVa0SSmYj32zCpue6seeTY5EzQEVKa661cKGUy0WbsJvOtfjmK8t0Z5FF0magvflimsTq0EqIKy75kE4m7bAfv5lhGJSx96O/Wje9FUIE2ahPkKhdXorqR96IOLE/vYfY1ntr8FzMtYJcGXXS2iVWdGgHTMgHSzSmRChi3hwV+eT8GmWQ1syBXK1BdZJ72G3ONRa6Gp+Y+TrDwpBjEBtGYuQayp8fScLPgatG6g5CziKAK+Jg8CZEQnmMTIiB68vtRK/aOr7oVZaUJVFVXCOrg5l1NURciYmamdCxhonh//Fo+8JKSM+b9uPj5SsSHlsuWECXrYfYlGDTE4niRStTGo7/ETJFex4aRJjPHoQN9g09vmekuUYqXZEvxBkYlDkFMTfRz7oWKgj4u7iJbjckRyDSwBa+ZFTQCSvbulaRMV9//hpB+57sI618Y0EFBmw3DyD3Qr1vH3HOuDYeArBFjt7vX7JaFx98yj88YSfDdoZzoqbBhFlvr+wr+Xu1xzY+oI9pbOLOiKO7vKwG9mh8hrlsNIEheCOjVcmlPLBLVYcfLgwoahc0Hdj1IToWFqVmsd1HyzGmvdZ2SRLijZZSuWJyA+twr5ZdQuaAr0srBoRBYxVl2GapppVXpPolf2gF55zfggRL/zBreBMVIU+QNjbg1b3axiszWQXinEmMg9O0Qpl0I9wzxFcUTKLtflRn/89bY/gsGEm9pgWoF9hhVbwYpbzEOY79kJHolA5DK514s3wtO+CEPa/Lc5Bz+G/onj6h+DrPTGk1ymCQHEHILOZUbf299iurs9dJMqJ0GqSpMBFAb6uw1Cbs+sfkJrhZ82L8N3uVzMWixJzbZ3Yb73w0DwZ1TecJ/HB4qUpioikavjtqlvw267XcNzXlvi+0N7J0H+h/OqU+Q5amQrfq76NdQXQ9qiGgSIJpFlABYeFqC3mglIFz/bvwwFvYyyVl39REHdQqNjyKuNU3GSZzTouLnckx+ASgKIC2fLg9DdOIfL9bzix/MbsmuQXCzIa3Q+/CdfrZwaUEskA1/dCZjqGj316FZ55yo++zoEiQRqjHKbeeiGXkJE2qwNQUadEUbk8ISKUjYAveizZjD7tv6M5eNEKmvyhgTy2QlZYpGVIZEmz03elpEqJ2ompFzCKHpRWZXdGSOqWbsl4Gvw4+4tOBHvD1J0Hkb6E4gfAW9ogzHgVcr0dBp0NogwIJjkFdM4PhK/C4ciq2Jo0uvY71y3DZlcrvjaqlA1DQtCNOa6D7JYJtTVJd3kQCl0ZqlZ8D117f4ugM6ktjpNBVz4bQWcbQp58sxryc/eaCnYbjBgJwdn0OsrmfZbpNIgUomFeZmFOCnUskHM29wojdq23QRSztIKKMoyrSz0/trMvwDTu2oTSYyY2de9gWhRpxDzhQ+aynEOehgKJF9H45MGhfrNch29V3YKWQB9zDohJmgqW+sgEGf9lhgnsNpKQw/vT9nUpo5zzT7EAS8/8V/k1UHGKy7o9cTCSY3AJQGN9c+XB6SJ8/rjvbXEMHK+dijoFRHLBoghEnH4o/r0NX/rlrWg+G0R3exBNCOJMZQCBN0PgN6RX9tI1isL719yVvRWILqYLrjKlTC8cNjFV4osRNQgJA4N1FLLU/OuFQhLzIQXAxxoKEpcsDmxK4905FBwLJdAbwqnvtyMSiLfesT2z38O2Sni2fAwkSWMwdmPW9M3gpg5MFzwbmcucAvY6yFJ+1vsC+L/WXnxmzNqYdHGmE89DrrFCW57eBpeMyliDmit/wlQLg44mpnwo15TA2bQZIe/wNC0KR2C6DCpTHequfQjOxk3oO/l0gY4BB5nKDF/vKSy/cQwObe2B30cDkgavikXmFFDhYcqeQx74+8+y9E4mAkIIOzlPZseA7Z5DhOPAsT5XXDDk9vWEXHBH/ChXmNOMKLX2vV3tfaTW+GDnaxCGoRdJBY9x+WaJASTH4BJgqKI6bxUsxPxS6qjZFAQRoS4XfEfaYZ1eid/LetAcCIILA+J8wMQD5i2ALGkwHYX2b723FJV1ufOuY6aOXBESYbTK4Ogb2Rak22b9BxcL0vThw9FrelgLdk4FDeCeAcxaa0Bx5YVfzLpedUSdAiGzIaDKAyolbHUWY8uOOzFBtw6Vy3eyeolDkZWxNr701Sjde8zjg3PMddDazsLbdTg1/MEK+zSoWPzfKRMMmX6914/NNie6giEYZDIsMxsw16hj+X66+XpPon3HD5lU71uVXgi6O6E3VoOTq9PElrIjIuRuR9u270KmtuLue2/Eq/9QQdk/iiWY6E+ikw9hwoSdmDt9Y+YtsNkOmekLuxHMY/Cp5TGr4zAE4lv4RutT7CfVptxqmcdSABfqnI4E+zwNcAmFKWEOZrq2ZsSP592A5BhcApAKH0UEsobeOaBu8luf9wr3exDuyVPdLePgO96Jhy08WgPRC1m8XcsxD3DMBjRNwEKlDjdNsuZ1COKU16qgN8vgto+MMXf0RzB6qhoNx4d3AXk7oNkFhNwL9NwAuGZF//2S34GbIlaoZRcWIu7b4crZok+7J7261pjxP/vatSiadRR+vRpuMffkO3rFQbcftyy6D67WHUxOmAwlOQSGmmUwjbmaRQziUJ3KH9u6scXuYq+Nuxx7XR6MUavw9bpK6HgRnXt+Nait8eIjU0YLf72dOaSbcxD22eDb04Z5NireI2NNYaxoBlyrdYDnM38ISmN2tUCaR1DQscfOZbazpeGUuKt4EU752rHTfS7j88RBYXkSACJ5Y/pJzsHrzhNMtVDLq7BYPw5TY7Ur2WhtbcXNN98Mt9uNW2+9FQ888EBB7yXr9oL9bOWfaf5DNujsa3gFU3GUSEdyDC4Bll5nZu17GeFoRgCHeasu1alfHNzhCA67sxy/DPCNAXbzXnxkVOE9/JRuuOIWC156JHOv9pBTAzQgKCiOaEohm+RzodunWoHSaiVz+natTyo+GwRtzrQTcM2Mfh+Cooift+3Be0pGYZK6Ytirtog394WUtpoyNFcE+nfOgWrN6bzbZpEO6kDgZUwymW65+E+PjTkFRPyo4j8b/QE82NqFzymamZrhW4lMZYTaGjUew22d9B+/Av6TVyT+zcXbCAQFvAduBCcPQjU6qcaA46EtnQGFNpqnpwr7ra7T2OI8xToEShQGrDJMQY3SitZAf9auBIoWfMAwA/90HWOGfXCgvU5ZzLoG2oN2WOV6zNOOwX5vA3teISoSz9n2sRtFl+K6HZudJzBeXYavVdyQsYhPEATcd999zCkYKag+oJB6gjh0nGpegf+tvJEVREqkIzkGlwATZ+tw1e1W1nKWXIRIv3M8h7u/XM7aA99q5FYdZFYtIv05lPMiAh415jdM/qCIDRv60brdB0dfGAaLnBVlkbSvUp155bv4GhN624PYtSHdGJAxJaXC7pZCQ7tROeGRcgyuuNWCPRsd8LqElFHHNePVCAYEpsOQMQLExcSZIkDlaBU+dF8FtvzHllPqmc6usg+QeYBIrMbxuLcLx9r2MwGa/yq7hk2xGyrqcgW8zcGsFoAOP2XWJCdCZp+KxWWzsK4lhFCq25ACvZXRmsIuumFBxLo+e9bH6TgOub1oQgdUrEJy6FGkAKdEiFdAE/FBNoSVpXXyHcy5IWj0s6/3+JBSGEJQBd+pXE6RCO/R1VDWHgLH0yArnjkjJbM+zh6lyv3vtz3PVuRxesNunPC1o1ppzeoUUBphurIU15Ytx2TTJNbPT+2q8Qr8qZoqHPI24++929hqO+44TFJXYpF+DPtK0MwAZwEh+rjDEf8anfd349ed6/HNqpvTnvvwww9j//79GEloRDS9v1zoeCVKFSY2FXKObjSLdIykZsK7DckxuEQgeWBS6tu53oGWs342SXDyXB1Ttisqf3uKY8gpIW2Dvkf3Znw8wgEugwonx+UOK3N+oPKfwM5Oe8IwO20RtNX3MEGnj3+7CvoMgknUekfzFNKWLzQzoNkP/xAXHfEpjbmQK4DVdxTB6wpj6wuOjM+huQ7xGQsn9rrR3hCAXBEVpKoeq2ZDj155rJdNhqTJh4RSTe2FGpiLFPC6I0yrgZQLf/aFJiYWVYizYtoBeCcC/lpaDUadtQOeJjzSuw33lkYLAYdC6dUmNOYYSkXuWmPSv5kEc/Vk1JpKsdrbg/V91L+eDn1cZrkMsw25CzJ7/EFs392H1vNejJaLaBgHuLMExmibJzkLZg0xhdCorsUb1isSkw/VER8WOPZghW0r1KxeQIDKMh4BOwk6RQ0zM/y8DEVT3gfT6NWJbRnrrmJTFodCqGMiEFHknk3iMyHSXwVFWS+MdatgmXAT03UgHux6jQ00Sia+Om4L2ljEiESGoiv22OhtAFM01fhi5XXwCUH8kzkFrUzTgGIB1F2wxzMwuCk5BH/G3wEZx+HrFTfh770DEy2HAjkKtD8SZ2oJ9rOCRYpymJtD+O1vf4uRpkJpxiL9ODbUKVv54cdKrsASQ1SETCI/kmNwCTF6sobdLiXM105B4Hwv3G82pLQrChwQUMvx6J1TIYY56M5EiwzDRsA7LpbcjFG8HlB2RX8fbABJ9/8vP2jFwjVmVnCY3G739O+74HFSkdmggxIxZKeAMFpkbIpjX0coaxcIpXVWxLo/asZpsPUFW2KktLVMjqXXmrHwahOTXKaV/4zFBnZLRq3lcesnSrH2riI2lpqXcagao2LthBQd2Pe4M2F/6M04evPLS7N0wn7AvBcIlAjo+qAPYWvUSFBP+PusC2EaolJf8Uoj+t50w3XCl3KO42FhmkGXvI4XBB4zlkQt9x2lRTjp8aHFE8SoesDoAHxaoJHsr4rDl0aVMwOTjRNH7Gj/fS+q7EAFF62noNXv8ZnA5rVAJMOVSWaoHtJq/bhuCp6ouDP6jmLH4pdpsM2yHGdMs/AZ2wuQOeoRsEUVLGlSIhU46qoWwlC9FDJqt0xCoS1mCpDd+/8wqG0xXhWRjhiicPpggex0yuZ8HYqZGpwOdKI+3I/RIRnrPIi3AGbcNkQmFvSLmruwx1vPJgdShT0ZyQnqaNfKLzpeYVMOiUKEjsiw0j5PBy6sDZTe7QMdL7FcPqUawoEgTn3pCYRCISgUCvbzQjsRyDGi461SWPDp0isREsPY72lkDhCTtI6lRD5QvFRyCoaI5BhI5ITjeZR9biUTNHJsOMWklF0KHjsnFuFQVTlke5WoPRqtoBdjF/iIFui9BvBMiYa/9ccGCukGQwaxqyXEpigSpKZ4x+fKmUPQeGrkCgXJEJO89IxFevzpe21s+5mM8f43XCxts+RaE6Yu0LNb0C+w+Q6kqhjP55NOw9E3XdizyQlbd4it+uesNLL0CDkGBLUVJitWUiRo/ePRFsxk+1ZItIDtNfYaZR+Hir/MR+sXdkBU0XpPZPPlaYrdUODlHCZ+rQJtz9rQ/ZoDEU90B1QtQqayYdD5Gzddg+px0fSARsbjS70W1P+5GzJ3dA1LxxhRAtb3mDB+SvZiWUezH/af9kIfywhQBJ3tQwSmHgZUAeClAQHE6DkCMLmoCpriKfD1ncrqIGhKZzD9gZBMg2dNt8RMQ2qqivr6u3gD1svG4FrhdIruAIkZyXVlMI2+OuP2qVZCqa+A/dw6eKgYUYxAZR4D09hoa2bIRUZ44AOV6enzzp9qe0V9Ci83HWEGL061In97Mg076o94cbNlbtpj7UEb9iZFBgqFDPlTfXtwISRrCZBD0vrX7fC39LPFxfKP3ITNf6I21qEjiAJetB/EOvthVm9BqDkF1pimsZQaOQtvus/CKwRQpjAx2WbzEB1mCckxkCgwpaCfV8tuxDefa0RgfRiWrYOeF7saUO992XOA8EI07J3NKchE/TEf/vKDNiy9buSGmLDRy2UKiIt4/NzbieaPRWDaDVh2xZLhg2Sa1/2jl9VBkJogMbgGghyFv/24HU2n/SmpkXWP9mLnq3Z84rvVifkW1IJHQkyUati5PruQ1ZDej8BB7lBDf6gSroUtCQPR5A9gY7+D6QgoOA7zjTqstBihl2VXlOOVPGruLELVe6wIdIfQeMaH9f/shc8jsroHNshKAEuT3PG5soRjZD/gQdOvuxKBobjpkwUBx+N2dMpkqLghs2E7/u8e8JEBhyDleERgwkmgpBPoiU0fprNfpVJiolYNYcGX0P7mj5muQSLsEvtpnXx7QlJ5c78DgfbsaRJyDvYZ52JN3wbIB9UsuJpeh7F2FTRFmUV41NbxKF/wxbT7ZUod2nf8OKU1U15aD05jh8gkjzPU0vCAo9aLF1UH0xzEtpANFwKtnocziooczbMFjEkuFOe+RvS+dIT9XvbeuWgePXBEVPhYKPS39FD3ZlaImYxfDDHpY4qefL3yRtytliSNLxTJMZBI/NEFnS2IBOyQqS1MWCYT+zY7ITwZzvnFiRsJuvhrh7hgIaNJhXtt5wfm3F8oOiMP9aeUeLi/F5oGoHQXoKE4eR41ynlXGjMqCdI0w+az0WhGysVcBOy9Yfz7t524538r8eYrDuYokNNAyJVcXqdAo+NZZIIck3yRBP2R8oRj0OQx4o/NLSlB7dNeP57rseGbdVWoy1MIyCs4aKqUmFylxP8uM+L4Xje6W4JQqDhMnqdHWbUy5bvS/FhvzgGIbU/1o3S1CbJBTpUQEsEfCGR0CuJEeGDysahjQK/WyXh8cVQ0NC5TGVB9xQ+ZNoK7bSeEkA8KfTmMdVeylXyclkCQOS25yhQDMjVcMgMs4XTj5Gx4LatjkA3qJCBthp5Df0HYF40MUUGhYckrcL5+Z7zvbwB6cwrgP9cfzNommA9qWxytzqwySMOXhkt4CAWaObfj8KHp11GdBs2YYpS/fyE8JwfSFOSA/Me2P2PEYzCUEhnsFCApMkGPb3OdxirjlBE59ssZyTGQgLf7KHqP/oM5BnGUplqmE5+svBbwC3jp79FV2EjImigRRimcrCSqD3o2bIhtmxUXBnNW6g8Ft0PAMYcHBlqJvhJLeeR5Da3s97/uxLUfSJUQ9nsj2Pe6M2uqmwx/w0k//vidVtYFkWzcqV0yH9St8cWfj8L99zZE6yuywHK3fkV08As/Fq/2RR2V5MOivXkjAn7c2I7fTqyFkt5UAVB0Y+aSaN0EtQc6Gl5C04atiARdTKZYqboW/rbcGvxCQIR9vwdFS1PrLyK+CLK07aeg9kULGFeajVhbZIJFMXCpIlEkkkSmWzZUPFXa50chZs51ezozSzjnQ1c+B9prZsHXcxxhby9zZCi94VkRQesTfXCdjKXHOMA8W4vtV59Dv84zrH3Rd+BK4xQWSt/hOoNXHUfQFOiDnOMxXzeGjWd+G3TRUmj+7WaEbV5wChlqv3INeEV69OrJvt24wjA5b43MM/2Zi6CT2eg4LjkGI4DkGFzmeLoOo2PnT9IS3UFHM9p33M9G8WpLp7P7ju92Ixi48EsNTRycj3pMQidkSZXUTSjCmxiPgKiA3xNh2g17Nzkzrpzzl3OlouoGimNTagtJbVCNJU1vJLrbgmwWBNUOUJdBId0N7Q25x0ZngiLik+dGL44lldHuhWwOiMgLCJV4WOuZTpwIPssaj+5zRCJ40+HGFZahaWGE3J1o3fZdRPxUf2CC6DcjrOmD2/kqgI/keTNAKINjE/KdhSCnmpTslfrUasdbZXho0sDEyqGywKjD8z3ZQ/E0Q6Da3wp9JLNRFkJupnio1MfyGUOAHJf430wcKv+Y/J1qBPvD7LwoLTIoTHL8u20vhNjMj7zbjX3v4xMJqeXwTusi/KFrI7a5zyQGApH/SStnur2d9G04DsfOaGiu4kOLoanLLJlM72m76wyut8QUvLJAqYJ8UI2BxIUjOQaXMTQBr+fQn2NOQYbSfzE6YW7U6l+yMC6FyS98FS/iKpxAFWwpGVf6vRZ9sMCLF7lZsJZpccOHS+C0hXFqvxc0f4aj+T7xn7E4cSHOAT1XQ9V0Q0i48rHn/uFbraxoMDnUfzGgKAmJOi1YHa2toM6HXMWXnMBjyiol3lNzBz5/OtbykQU64mNu75AcA0oXdOz5NfwtFvgO34Fw36jEY7KipgI2AKiK0y8vAed5qEc74D+3AHyWJnwSAKpdPPwwODFGo8Z0nQbHPb50h4lJBfO4ov+NnNvwdh2CUr8WI4nSKme3OBa5Lu/X0sJr8Z6iBdjiPAlHxMdGA19lnIIF+rHY6jrFnAIiWeRn6FMDRpZAhwOtf4oWIemnV6H01tm55zCEUxQz0qAWSxrklI9LQaL53YDkGFzG+PtOs3G6ufXeO9ggGSq4orHPF1o4Rw5BDWxZDZgJPkwUOzH7yhoW0v7gVyvwPxub4N0XhswdbYckBUBBCZQ9DSgHBhxmhK4TvhmAsntoRZD0Pk8f9iZ0COL4YpX7IwkdI73XD3y1ApYSRUIr4eBWF84cyiwuNXeVAbctGRvLoed2DOgdDPWo6TP3nJbBtfVD0dxLEpF+qj9JbtVLR6bnYZqty7yanvI6Am1TIPj0Kc4BGTZa9XbMa8Q11dlHDhcKtUz+ormTOQfxADaTWuaAG7uew0RvbDhYRmgc9YAhCgcccDVvRcjVzmYm6CsXQl008YINEUny5lvZU6vdLO0oFMv1bNQxKQvGRxS/bD88rALDi4kYEdD08/UQfCHwWiVqv7wm53mizz2T2BCJO5GSYn2gu2BRsgrFyBUtX85IjsFlTLxAKh80xY4cg2mL9KzG4EIiBuPRlWX0zgDTVF2YOCcaUqcLyjVzrfhTRXoYsf1DQO3/5Tb4VPA37gYtzj7hGVL6gQSmyCkY8pyeAq7SlDKoGq1KRB+opXHSXB2OvOnCs3/sZikEKkDMVGNAxYBrbrdiyXVmdm7oD7hWrUSzP5hztxO0Q5u14e05A8/eW2JOwaBPi40PphOTJEAwiLqPlLB2yMFoy2aCV/8Dlqt+D+ehGxFpnZyQCA7qQsC03Zg+/k2ozX/AhaKVyfDNukqc9fmx2+GBTxBQpVJgqU6G3nP55h6IUJmjqQxHwyYWOYt2QER75B3nX4G6eDIqFn6VdSOkvFIU4O08AEfDRgRd7ZApdNDXLIWx9oo0bQSaVZCP3Z7zWOegQVRR9Lwat1jm4BrTdCYglAtytKqVFva8t8qB6Pr3PnhORbsaqj+5EsrS3JEqim4sHaQzQDUTv+/axB6LOoyFsUA3dtjHLTGA5BhcxvDK1MKwbJBEK0HqhCtusuCN54afx9MjkNMpoAuAjgsyAaE4V1gMOOTyYI8rNR9sPJp/f0JExCqTEUfrPNF0QoFECoxkJzrm4lLLBVx56fmknDhhVtSg9HUG8cfvtDGJ57gjEgpk9r5CARG9naGU83N9kRm/b+vOLqfMcVhhLuyzjuNv1ELw5uqjj36KqnIRyVo4qjIFau4ugnVBqgGMozRUQVs2C97uIzAv+ReLGkRcxeBkIcgs7ayK3zr+LnA5JJ6FkJcZXWfjZoT9Nvb9JKNrGnNNmuEl52mCVsNukZAfvp5j8DTvZwOcskbLOB4KXTnTTPB0HkDPoYcHHktaulLEjYY6VS375sDDQgRd+34Ld9uuxJeDvkoBRyPTPqha/p2UuoWt7tOJmoFskARyMm7Bz9QM7WFvXmNPj9eqivHRkpV41X4Ep/0dTIlwpLoOBuM504WOx6MaCKbFY1G0ejLkSZLLmY71KuNUpjkQ55y/Cw92bUx5dkGFpJDhatO0EXkflzuSY3AZQx0HotKAg1oNdhdVolelgVKIYLqjB4t722EJBdhMeU3R5MRryKD1RsI4ss7F2hGHWgTohTJvxEBmSg0r0qQ2alfb2O/EK312dASjRYGlbhkifCSndD4Z+H9+tQPW2EKXGXFcOHTNnzJPFzXUHUF43QKTQs4H8x0MQM1UdSKX//ivO+FNcgryQQWZq26zJrQSlpsNrDVxk82Z0q7Ix87dV2or2Oo5EzTXoa0+wAScKmtVTJSJEabVcn7vqOb9pdBUahDoCUFhlEE7WpU3vF4273Os359kiHmtF7ymMWZERRhqV8E84casr6Uuidat32Uprri5IAPff/JpOBtfR9WK7zKFwmTcbbvRf/p5BB3Jkk1ZiI2ELl/wX+x99J96NnsYSBSYo2E79zLrRiCDbzv7YtQpiD2e9GREAg507PoZRl318wE9iLBn2PUALzkOMYVDMqTZtkH3z9SOwmRNJbs93P0GNjmP42Ig+EMshUDzU+RmLcZ94Wq8v2gJrjRNRVOgF7/v2shqCZK/HRTN+GhJ6iyJl2wHhxTdiG/vc+VrpKFII4TkGLxL8Xki6KSWPz46rIfkeAcT4Tg8OWkZjgnRP1aaxhYKaHDy2ES0HKiGxs3DWizHYoUbc1Ya2DZopRpZJUPrBEB9FjBvBxR9uY2tTAFEYl1hZ1GGOmRPYQicCPXKgUK3OGTgri4ysVtQENi/Nx/rx1bRVvAFhHrnRyqUStd8kq+esdSA3/1vCxM9KhT7HOB1hwvXFZvRej6A9sahdzCc2OPG4rVm9jsZmY9XlmC2QcvmFzT4owJHC4x6XFNkQqUqPVxNaZKNT/Uz0aWgX0ykT2YvN+C6D5ZAXUTGNb/IjcKgZPoHdMuFvyuE7o0OOI/7WHTFMPWLsM5oRsATbYNU6kiLYBUE7yj0bHKxD0o/SQ1tTeqFvvvQnxHydGYslg37+5lccdXybyXuJTXC/pNPoRB4hQ6GUcthHnc9m2xIdQVUa5GPvqP/YDdV0SSEnK3ZnygKTBmRBjFpS6IrW1LlyxcxyHq84FAiN+BMls+JHjfJtFgYC6/3h90sZ3+x6HxyLwJtUU0I7YRSdLx2FP/HHcdu/TjWOjk67IPb1wJ7S3viNR31LfjQr/8bVrkOM4vHYukta7DLc74AwxXtw6HrzmxtHW62zMFETe4WWonCkRyDdxkBn4CX/5k6wEel4bD4GjOueq+VjXCO86LtII6LbhYHp2fKbWpUPrwQMpcqOqYYHLo7gP/8pQf733DiY9+sYrlvFhJUA+7pAO8DijZkPx4yApZiBVz2MDNAraIVHTChDI60qAE5BS6TD40LWlCOBVm3Sf34ETGCqYu1eOP5wtMa8SjwSOkjTF+sx5svk4BRuODVPp39QBmw2eZgjkHLuQH1xEKhxTV9zin3cRzmGfXslg+KUjzxm06c2OtJ2S9FV/ZvcTFH5eNfrwCnIK3/PNuK5D/w/l1unP9tZ3RfscP2NATArTNh3Jc+ActyPWvhO/9gJ5xHBrQ0CMMUDcZ+roxV8od9/fC0Uy97Nn1tgRndoKuNpSwC9oaCnQKFviLRfZPYXHhoIluBvtMFFJjI4Os9mXAMSLJ3g+MYhouMk+EjxSvwSO9WVk+QPDKZCvq+UXVTYvLmPk/DRa0yCPUNpPqcexrZjWjGIInUJHpOt7Ab8UapAZvnF6bpME1TjS9UXMOmJcYLMSVGjovTeyXxthAKCvjzD9uYAE9yNT1J8r7xHxszBmQUiIgo4BXHkZTLROmTMyFzK1kxGP3HiD2hrSHAHA5inEadUJRzzwAEdcb6s+jLRaCvK4RQUIzK64LDBkzGeZSkZTk7RAteVE3Czt6ofGomDrn34Oet38Hnz9+N+0MfgXwmSeMO7WJHHQdVY5QsmjJcqHDQYJZj7+bsYkeZoCMt/Q/g6IiG6SkCM9Qx0OTUFFUMf+LmuaM+NrUyoz6EQBoMARza6YGqWJHXy+nelD4SOxlfWxDn6HtHX5jk80QtpxHg3K864W0J4OT32+A8FtW+T8Z1yoeT32tDxCcwQ1+IYfP3R1f5VIfAvKgCoNRE2JPa3UETDjn5UIaaDd3ojlOXYbF+3LDTW0aZGteYp+NXo+7GdeaZTNtglrYWHy+5Ar+uvZuNZo7jF0IDf9eXKIVETigSMkZdCi2vlJyCi4QUMXgXQQOAskoJi2DGgIzC+Bla9IXdiSEkhLLNCHVrNDSd8eVCVA65rEaJGcsMMMh4+OwC9IcBfw2gIenjpFU4N+i1yWVEYU6GLbLR2BeuRQVcrDSpGwY4oYXYEwEeugmBXwksOpHMS31PYf3BfVDtXAxj0y0gCT3vuLPARD+UpyZHV3vJQ++yQA5BabWKSRV7HJGUFsyBqYfZod2MnqJmTlYudcKMr6X9BwEraQStiA4mGioaPY/J83KPNM4FfY75Zjbs2ejAMl+e9yYC3qbcq+quDY7cmxCB5kd74W+l7WQwWgLYDIeeLU4YZhVm5DkKCZFDbG8c0jRGgY1hTtqOTAFT3ZWwnye5zBEq1hMj0BRNSrnrs2WrYZHpsMF5LGWIkpHXwCX4sppKMqLLY4OzypVmNkUwF5VKy0XVN6C2RLrlw3WkFef+l2o3AOtVkwt6TTL0HorkejZQiS/Q8ZMYGpJj8C5iz6bcF2EyBhRNIMdANugPSt1iTvSR57qIv/RIL9b/qw/zpqvQeCBJgCcmMxzWAgojIGZNT0cDnVxYCR841CPVMHKCDLAbcWCrk6U/4jT4z2LT8z0wvPYJiHwk+jwKAR+azcIV3htewkrDNdD5S/HGc/kHs1CHxWfvr8HGp/pwcJs7EWFRKLlEzj3XeaAx0eSIaA08vK6hGQ0KcMjqRaasWFyhxOipajQczz9JMtYph/d+ugzyDK2AhWLryT52Og6JWcmMsrzV64NnIQzGcciTW0RBAFwnqOo+9uYyIQK9b7hQctVEcLwC4iADngLHQxOT8ebkhReicTIlFNrStPtpKBNJhgdZ7cCFTr/iWcpCE0sjxKFV74dKluE91vls5DGND6acPA0s/nrLv9nMg8EGnc7UEv141nFQKLO1tTDJNGxBcCnpHgyHh3vewN96tmKUsgirTdMwR1fLxJ9UnJx1OAxXX4KGkbkjfhaNIM2IyxXJMXgXYe/JXUVOxqC/K3pRtcp0qFCY0RGKGlFxCOF4Sgs07fenXsZjL5f7AINaBhd1C2S5jnJitH0pF4e2uVIcg1f37YPmtego3LhTEP+dtqV5+Tq0f2MTPjv1M0wxsOmUP2uInkLx4YjInIDbPlnGFBZd9gg6mvz4169yiwURc68wsJU+GXaDWTZkxyAOySzT5Mbu5sKKD+smqbH6jiJW9CiIIpuDQDMBFEmti5mgMcTenqOIBN2sqE5nNOWtayCHp2ixHu3/sWW3hxxgXZS7pqGQhXa0TiF3SDjkDEOm0MI4ejUc5ynckungeRiql7IUAKGvnA9/78mCQvyakungkxyJSMAFT8deRIIeVoxIjoGz6XUmlVwwKeEnGgBlQsWi/85qtHQyFRbox6Tc952qW/Hbrg1oj/2dEjLwrMXvQyW5IwSDocXAZ8vW4CftLyXaB5PD8ySv7RJGbtT5xYbcpfpgD/7U8zqQ1HlapbDgvdb5WDxIGyEXvSEXnu3fh23u08w5oPOxUD+WOWvJ6ZjLBckxeBdBF/NcLXN0PdKZohdgujjdaJmNP3W/zv7tH9s3MvlHGkHcnz+8nntfHLyDFAbbNhenRAoGb0sUObRtMwFTgStvs+Kv9w9UPmdi56sO7NvkxPu/VI6Js3UoKuex42V7QYWJ13+oGL0dITz0rVb4BxUBDgW1hmche2p1zI6IBTd6cdX1U1lNgzMcwaMdvax40SeIrEhooVGP20otqFGnr5Ad9RvQd+JJCKGBoq5q41KcFq/Nukf6ZOZP0yBoC0cdiEy9Yzwg1/EoviK3eI1xiga921zZnQteAKdyQ/RTmClb9EGAqiTa3lk89f0Iebrh7dyfNnZZUzwJJbM+lniVYdRK2E4/xxyifB4Kba//9HOwTLiZFSxS2yFI+TC2bepYKJn5USgN1Wh5/X+yOxscD3XxVFjGXgNHw2tM4Ih1O9QsyyhwRFBKilocHfXrEXA0gecV0FUugHnctRhtqMIvRr0fZ/ydaAn2sWmKs3S1GZUCC2GGtgbfrb4VT/ftxWFfcyJisVw/gdUo3NfyxDs+mkDjqv+vawPsES+uNc/M+/yukAPfan2GRQrizpIAEbvd53HA04hvV92CseoyXE5IjsG7iDkrjdj0VH/WlSDdT+1ohBAIY3mkDh2GmXjRdRiRYh+8E3qgOVvEVvQXRNzm57zCZFdAoJRHSUVqGE9oqMjoFCR2ScfcEB0VPW66Frd/phTP/qknTdI4efehkIh//qIDn//JKDZemYo3CykEpMjLcw93s86A4aaejVYZqsaq8NQfunLuU09DcbaE0NR3AqqiCjxS60aDOZKws/Rzt9ONfS4PvlFXiUm6AYNBufHeI39P22Z1yW4UWWag31EJUUj9DBQcsIhmS2xyoZdOd7JoExezkxFAYZJh4v9UQmHIvdIvu8aE3i05dPAFDuoJb8J3+LocW+FRskqfyPtXLPoq0w+gFTybYKi2wFi7kgknkeRyHIowVC77FtNMiPj783dPnHiSDY5yNW8ZuDP2AZNjRcJFtOI3j7uOiRWlEz1BxVPvhNoyFrqKeXn3SSqJ3QceYnLL0VpwARH44GzaDFfzGyhf9N/Qlc1krXgj1Y43Xl2O/626kRlCmkFA6YV42HyOtg4HvU1v+6yFkeDR3h1YrB/PWkJz8ZfuLSlOQRz6N0UPSGzpl6Pef1nNYZAcg3cRC1ebsPs1R1pBXdzYlo1SYlxZAB2/3AvP3mbmKSxSybFw2WRsWyWg/u4uCH/QQOyki3A+GaLssMK2vEEDLnfKozuEb77/HDNEY6dpwYuKnBleCo0a5AOrsdkrjJg4R8ckhqktL8uL2HV/56t2rL27GK3n/XkNvd4sg9sRRmN8fO4wWXNHEetI8OeYvTCD5JJpFqXTBM8uAR44cLMAHJkNbLp2YIEtxFadv2npxIMT65jGgxD2o+/4Exm3K5OFsfaKR7B9/wfR1BzTjIhFBZZoOVi8sQvk4M8wpi1QepUJlgX6jJLHg9GNUaP2nmI0PdIbt3tRYr9brz4J0bwHoc4JCHdRGD2tiRXy4hZYlw6E2FltR+n0tAmGmVAZa1B3zW/gbt+DvuOP554NwvExA531Ceg78QSqVz3AahLsZ19KqXeQa4tROudTzCkoFFfTG0n7TPouiOSkiujc/UvUXfsH5uSMNHqZmt2SuaNoIY76WplBzJfuG0kuhlwzbW+b6xRutMzJ+pzukBNHfKktsoOdA0q3nvJ3MIGoywXJMXgXoTPK8MnvVTMlPVKzS84jj5uhxc2rRXR+Zx1Emikce0AMhIHXm3HFQQ0++MMb4fzcLuxbtw5HTy5Fn716WMdBTsGsZXoc2u5Oy2XTv0dNVEOl5nD2sC/rarmnPRQ10gJw9ogXItUScEL2aAYnYsaskpS7tHoZ7L25G/HJCaFuDSq2627N/Vw69kVXm1gaYbhQquLau4sxNxaCp/HKyVLIcajWPD50mPKdSIqWTD8I+LTAjlUDz6fT2B+O4LDbi9kGHTwd+yBGsncMqJQ+XLX4T9Dd+3M0NxqYdHSFWYbuPDUWvpYgNDXKvE6BEBbhafAz8cSiZQboxqrR+Yo9IXBknKZB2bVmcHo3Ot4Mw7D8n/AevhqB+nlAJNaKyYegGn0QpTe4IFNcheFC8sqG6iXoO/av3E/MG/4REXS2IOzuRNGU98E8/kY2E0EI+6JFhcVTUiIWhUCqidnNoggxEkR/0xvQjVkNDae46KtWKmak0PlDXZvRGhqIstB3MDq14MIxzKjG7HVfSLmPUiNUPDiS0DF3hnIXZLcXOKa5NdgvOQYS71yspQp89kc1bPXbfMYPXsZh7DQNisvlaPzcU9FCr8HWWBARsfvQ++huFH9yNsbU/hkVpefw9LqvIhSmi/QQLkYcwKsB0wQFlpnMOHfUyxQY4zUQZFhX3mwBx3N4/dl+7FrvSEwsJGchEOsISL5Gx3/P5hRQGRVNJ1y5piKjg5EPkgU+fTDzFMNkaLokFW9mTU8UwPs+X4bpiwbmFixYY0LDoOgDuQDjc5x1un/ObmDvEiAYKyuQhQF1AGhxBzBTr4HN34cgL4cyaUJgJsxmJypWRx3Ajhdsqav6DISdAo79dwsz7CQ8pDCnXkJC7jDO/19XVJMgKQVhma/D6HtLIY9LLscQxRlQWcYyjQLdnJehnb4J4X66AHOQWTogU4dRNPXHGAlyzV8YCqTUSNAqnmoHkgm6O+Cof40JLdF7oKiGafQaKHSlGYtCQ67sSonn9GZsKalBAxqA+ofZdMW1phlYa54xYv37lMqw+U8jFHFBLS+CUTWGaSv8bNSdOBfoQkfQDjWvZBMdf9O5ASf9uWt3hosnhxM7XMiN0fK5O1MK7TxQkdrXZYTkGLxLqR6rZrc4ngMtiPTnMH6CCPfuJpR8ZDFE83X4z38mIxTO8sfAOhiiwjwpegWxhY/gA7b81ZaQ2Z1/pQErb7bCVCyHTMalhNNX3WpFT3vUcVj/eF8sOpBlt4noQ2p9ArV1LbnGzIrzkuloCrBZBqmIKIGL3eiRdlgQURkQDqanXwbjc0dwaLsrmiYZZuxTb0o9RhqvvG9rF84fJrGHqONTXMAfpiIM1DQCvSXAwu3A5OOALAJE5H14dNYx7FjZC+eURRjntuGK7hbUeTMLEVF+Pk4kUPggCecJHxMlmvrjGshU0eMm9cLDX2yCEE9FxBEB2x4PvI0tmPbAKMi0Aw4erbArF/8P2rZ/n63GOUUAirKBmQYyTTn4QdMLh4uucn60NuACNQkoZZAJV8sOdO3/XfQfsX0Enc2wn3sZ5Qu+yLokUsix+t9jLccLVePBJTnxNEzpsb43cdTbiv+uvC6ncxAQQtjjqWfV9gaZGgv0Y9MKFjtcO3Cm9zEEIgORAZ2iGpNLPwqrZgqrRaBbnG9V3YxDnmb8tus1+MShy3jn4mIMdaI0AA1WerR3O9Scgp2Dwe2d5PDoYISHoqicH+DSFxLUBTJbV4vLCckxuEwIttqjg+jpDyAbgohghwOvvLwcPj958JlW6CKCFg49NwO604DhACDzx5yCDMaSZHb3vu6C3yfirv8auMjEoZV+RW3Uq8+X4x+4RqZfULe9aIfRIsfS68wp7YDJGOHDKpxEEWhwzUDnfHfAio2YAD9yrwpShJBy+AVaBDANbRiHLigRgQdKnEIFmvTVqBmfmtOlOoMPf2UMHv37E2h4cyrCXl2exr0BLH3A2hcARYgV9zNkYQ4TD5Sj7ngxnrh3N84XA+f1Fryv+RSmOaPKlfF3QCt1pX4gyqIdpUqvK8h6MgB/ewh9212s5oCo/31nulOQRKA7jM5X7ai6LbX9K+TtZjLGmQh7u9G+40eoufInBYfpA84WVuHv7YqOKqYQP01epJU7tTpG1T+H4dWRRkLx1LQhTfF9Mqdg8Bc49u/OPb9G7ZpfQqErS4lgqIsmsymNyWEah1yJFyvHRV8+yHmgo6Zugo2O4yxykIk3nCfxSM82+MUQZDGZ5L/1bMNNljm43bqA1aC0ObfgeHf6aGtPqA372+7HvKpvwqIZGJ5GkJjQHH0dPiquwO+6NmKkIQ0Cqm0YicLH+Fl71r6PGXaKHjxj28e0HL5QfjU0vBKnPT480dUHj39x7NkiwPcA8jMA70lsh8Zbk3N1OTHislFdXV34whe+gAULFmD58uX48Y9/jEAgGiZqaWnBPffcg1mzZuG6667D9u3bR3r3ElngVPKCBPk7O2j4Ughi1s4EDjIPECwD+q8Emr4MNH4FcM6O/l1lXAOJwNGdbmb4c0FOwoXwyj972ZTCZNniOGoEcR0Ow4LoHzw9Et9bid+Gq4Vj7BJaKCl1E3y0doA2aIYHt+IApqANaoTZJYlGTc9DI26WHwEXSF9pyRU8brhrMpbc9zPM/8L/ofYD/yjoGKYcARTBAacgDi/wUPnlWPP8NGZY6FCfqZmAQEwRMFE9P/2DKa8zz9VBbpQVnjnikOg4oGiB43D+HHHXq+niU7YzL2R/gSiwSIK382CidsHbHICnMQAhKGRctTdv/F846qljoYfdXC3b0PrG1+HtPoyKxfcVLJOcAsczcSXjmKtZCyKF4JNxnF+fZwMiax0djIVNkkzd1j5rugM9mPWOzDPHd7nP4aHuzcwpIOIlhGRun7PtwzP9exERgjjdm+07FlU4OBV7nJwoUhhMZpl+Am6z5O64oBbi+dp4lUxhUNifhkKNRBVFsutH7z3ubBz2NrOUyFG3F99vaGNTSZOPGkIxEFwEToim+1YaJuPu4iW43BjRiAF9icgpMBqNeOyxx+BwOPD1r38dPM/jvvvuw2c/+1lMmDABzzzzDDZu3IjPfe5zePnll1FZefkUdbxd6ObWoPeR2DjYLMiLdWi0qcDx2cP5hCwAKHqBIF2/yCh6AcPh3CML6Fq84w0H3peU3hjM5Hl67N3oyBvSzwa9jkL9S66NRg3qJmkSyoST0Q41Qhk9YTKdxXCjFn3ogBkT0Yla9EKBCPqgZ6v9LgzMi0+mdqIa42dq4ewPQ6vnUf7qASj85BAkbz+KwulC7z/3ouyTqXlpokQ3G3Oqv4iTqr8gUHoG4dpGyFpqMrZoUodhfzFQnKPAnhd5VDdZYO3Wob/Uw975EVMJ5ts6oTBUoXTWx6Apmpj6GjmHMZ8vw9mftCcKP3NCLZ8xSWhfa7CgRTjVKNB1Il5ERwaWCiVzfuGoW6B1Dxx7xqBznR3h2D55DYey1SZU3W4Fp+DQtaEFbc8JiNi/yw5OXtIA9eRtUFacZc/vOfQXVF9xP7SlM+DtijoahSJXWxEOutC1+xfRf2uKWPEhRSLovZDTkTvcJcDbnT4DhMY1F027G33HHktoJnSpdXlPJVXKD5YEZiO8e3fmfN0L9gOYpwgjLOQaViTiTKAfm1ufxnF/NzOqNUorrjXNxBXGSWyf1L1Ag4x+2fkK3EIgVVMEIioUJvjFMAy8umDRpFFKK/6rYi1ed5zAq/Yj6InkaHPNQTQSmHliJd130NOEemdHtJsn7RnRJYNVnI+vjypHlXIg1XY5MaKOQX19PQ4dOoQdO3aguDgabiNH4Sc/+QlWrFjBIgZPPPEEtFotxo4di507dzIn4fOf//xIHsY7Fuqj3/2ak7UcUpEbqeLNXKrHsuvNTDr3QlAU62FYMQ6ureeyXsCt752NJkfhqylKyZW+AOjO5H8uZTB2tLrQ2BjBp6pLYZKnf/UWX2PC3jyyzrkPKCr3G4cmSVIdA02HHI/unOExSoVMEtuxFOegpFL62AXGCD/GogdHUYW9rE9gUGhXEJmgEuE71YW253NccAURrm3nUXz3fMj06UVRpfp5KNHNQb/vGFwft6P3AY7Va6QYaBIWUvOQLVIBL+ZfoRf16JljQKp37tqlqJ45ByrzmJTq9nBYxO4NDuza4GDpF4sMmGuRQd+XJ6/AA6rS6OfIFXgl4ZRcamU9G6SRez90jntfmQTvidRx3YJPRMdLdrjr/VAVy9G7haIx8VA9h3BvHdxbx0Az62VoJr7JDK/9/KvgFZoChmLwLH0RCTjQd/xfaQOcwr4+9B55hOkelMy8p7DxmFmeYxl/I3Rls9nQp4C9HmqlMdpymmNTFB4fLBLWGOxFVzj3UCsK1R/ytkEXS4aRC1uPEvTCQI2xqIINXiixA+PB+7sSx0BV+aQweNTXgs+XXc2Ob4q2Cr+vuwfb3WdY+sIe9rLxyfSTlBrJeRlKUmCqpgbdIQcTWiIRp6805+kiyUB8hHWu/glOKIYjZwExh76QAkFBiZZAH0s7FCsGCoYvB0bUMSgpKcGf//znhFMQx+124/Dhw5gyZQpzCuLMnTuXORISQNAv4C/3t7MxvPHvNAno0MCbg9tcbOTxqEH56aFS8rHFrD3RvasxWm8QT5SLgPV9c2C8YjzGnM3fyx/RAMEioPKfgKrQImUOCBvB2ukohHf/2BqoB403JJGhD3y5Av/6dSer/GfX0aEU+YmAbpDgzsI1JnZuVY/lrs6naEcF72JGKPlyS6kAYjraWPSgHgPV5XT4FXUDBt5/vie5QjIzYYHVe2gmZVZSozx6kXYGisYDFQ+EmCQxhevFkAhOzqFouR5Vt1pZKP0c8jsGIcWA0dUbqtN67MMhEY880I76EwNdBLYIjYWOoJoD5uQ69wIS9QWkV8CrOQh55kzo6pQ4+8sO1h1DLYwlVxoh15bk1BcId4+B90RUvCoNEXAd92NgbZn0nYqlw3yHroOi/Bzkpm74eo7DVP0BhDq6AVkIcmsrOKraTIbjmTiRylQDR/1JZqyz4ah/FYZRy1kdg6t1e3ZnI2mGQyaUxuqog0GztdzncKBzfU7jN183Oq110R0uYN4GXVegBMUk2mHGJkxGtBIh+rmdQFXiDy75ncQ/1Z3uc5ipHYUrjNH6AxrpfKVxClYaJmG/pwF/79mOvkhUNnqolQL/6n8T/+oHqhUWfLB4GZMibgv2F7wdcpTijkFORG1OgbU432haB0EW/V6OVpWw+ow5ujpcDoyoY0ApBKoriCMIAv75z39i0aJF6OnpQWlpastOUVEROjuzTtu5rNj0TD9ak5yC5PA4GYXHftGB+x6sY6vg4cIr5Sj/4ioEmvrh2lEPwR2AvEQP48pxkFujld/V41Qor/Khq10JUUwPY5Mn7pjHQVsPqDPXi2WEE2IjmkmyNBDCVpsLVxcNhOfFsMCclUlzdbjvd3XY/7oTTWeo553D2KlqbFvngKM3t3EnZixN9+yX32hB4+sGhNrt2S8F5CcNcgqSoeOejtYUx4A+mwWrB94DJyNDlP8yxskLi8qoShQY/fFS1N5TwsYOyzR8Qj+A2v54JQchmH1/QWUYrXX9iVzz/EE6/MT2l2xoSHIKkt8byb7UckAR3TF4N6RFMF3D2hAJOq6KWyxoeyK3wqD7TADgAmx79gNetD/Tj7L3vhfAQ1nPnf/83LxtlLkR4TuyGpo56+DecTN62koBMWqEOaUH6ilbmPpiws6KIlvFE9R6mBOOh7NxM0xj18LVkkMcSRSgq5iPoLuTFS/map2cpxuNcoWJie9kGp5EkJz5YOyRXOmB2GGQaJZuMprdZmzAVAixwHv6Nz/zXwLdS2H+uGNAOMJe3N/+ApqDqRGdC5E0fqDjJdxonsUiFblIXjeQU/C+ooV4pn9fosYiEyLrPMh/HRW4gXqgxkAvftqxDp8uvQorjanTMd+NXNSuhJ/97Gc4ceIEnn76aTzyyCNQKlPD4fTvYHBk217eqSkE0szPKmVME+jsEZw64MHUBbmH1hSCqtbKbpkI2M5jxZwH8bLtY3B7LWl/QOSVaxsBZXc0/F7I7CV6imtmtGAxzus2J9ZYDHBuPgv7KycQarOz1bZ2ZiXMN07HypupWn4gvycIHF5+NLmqPp3ZKwxMxyET5qsnoveR3bkPMkfXBtkl6mZQIIwwJ2ef1Zr3WRMdFYR2ZlVev4DXq6Cqs7KZBz2hEHS8DOUqRUobYNd6O7wNAZY3ty7Qo3SNCUpr6p8qtfyVXWdGx/OZBVrIgdu7vAFhpcAumCTOMlaV6pgLgog31+f43gF4UwRunKIBR5GkUPSJ5JDQMVXfWcT0KOJU3mRBoCuE3tez5IaTIlTxHVAWofOpKhTftgSC7M1BzkH0BXxkwgUONuQQap+CUNdYIJL6/RCDOhZREP0GaGduYIa+bN5nobZGB/CEPHkWLlQc6e6A2jKGzVLoOfzX1DRF7HeZyoz2HT9kd9HsBNPo1bBMeg94WXqKkNoQv1l5M37U/gILyTOBq9hnquBk+FzZmoza/ScK1BiYrRuD7eqlEP32LAYyx4RVAE3BPjzZtxuuiI9pK1BbZD4DPhRiSiZ4wZ69DkQRiwyFkr4YVGL4WN9OjFGVoCHQk/VPUSbrAxcGsmcTRHJHAW4grRlPTfyl5w3mYNP0xXcz8ovpFPz973/Hr371K1ZwqFKpYLenViSTU6BWX15tIJmw9YQR8OW2KFRQTmqGI+EY5MJe/yr0OhfKSxtwrjFz4Y2qVYRcyxXkFAgKwLEQsK1Ivd8RDKHrN1uiaY04NDHwSDu8h9pQeu9SGK+cgLDdB+em0/h/9q4DTo6yfD8z2/ve7fWeuySX3hsJkAKEUEKvoiAqYvvbUbEDKqKAiIiKiKBSBOk9hQAhCem953K93/beZv6/95vdvd27bZcCQfPwWy63tzs7Mzvzfe/3vs/7PDUbW3CdKojuoC4tGbBxuhZX3DpcRCYO2hbxK4IttrSTv7zUgMhAfs555HFw9iUFmDTku1CWm6CdWQ3f9o6MAYb8gvG4v6sPW1zexMBVq1bi2pJCFL8WQPcrjpTVMZUSSDGw8fYKGBpT+9CrrilExBNF/yoXew+rrIoiIx7umNeOLQslPYBGdTm+XXbBsNQzdXB4HDnq+zKgq0KB5d8tZ+ULmjN0o1Rp7ZYpSKi/tRSl55vR8wYFNwHwSh7KIjnsG71Zgyah+0roZ4xC/0ovAq1jSJABimIn81oIF5oR7B6eTRsxopnFbgIHzkLpslJYpi+AXDV4bREfIRrMJpLFQaaQsiam+qWsBZQ8Kqhkwf6mNCDkakU0ODj2ke8CdWL4Bw6g4swfpQ0OqKZ9b831zLeAjHzCosCsmM82NA6TMY7Dk6dIEF0He0IBCrlwLKDr7GX71hjB7+NxVUgOCAb3S8LRYD/MMi2zl07eu3hcekvJmej3F+D5/kyqhxygOJI2PgqJUax3H2JWz//NOCmBwV133YWnn36aBQfnn38+e660tBRHjhxJed3AwMCw8sL/IpJFfzJClMh0JxtkUxsIqHG0dVrmdKLIQe7NXv+npyN6oOMrgKhM4963pz81KIgjNqH2PboevFGNvj++DyEQYUEDVQbrOT8axH7sRDW2oRblo1SYc6UZh6tC+MHRdjYQjNdpcH6hKcVtkMoolT+5AANPbob7vSMQwzFmu04J84UTIbNo0f/ndRnPC+2VA1rMuaAQF92U+Zot/erZ6L5nJQIH+wYzELGf8oWjced4I3xJQQGhLRDCS2/14OJ4117ymCeQ4ZWIQ/d0Y9rDdSkTMk3EVGoou8DMHAzDjghEM3B4eg+4Ag5LuSmYp2/AWHVZWindvK4nEVAGBQQHwtDVpw8IhkJXp0LDVwZXtAfvybGSFQD7Zh/sm8ZLypyx4w91a9H+GPkznAQh/aHggXDrXMjnpQac+qozGY8gM/FGhL4q3gcPxuEom/U19u+QqxNtq7+T8X0B2yG4mlcxU6a0u8TxmKkbxR75oFRhzFljpwmTMhKhHIqYuSB9xqlptEQBCx0n2SYTKTIoSsfaoCplNsokViQYREREEa8OSARJuqqlESEq6RjIujKSPnPJLP834IQHBg899BDrPLj//vuxbNmyxPNTp07FI488gkAgkMgSbN26lREQ/9dRWCpnD1tv5puVar60Kj7p4Hj09tdCSMMvGIYc44Jr3vCgIP62uZs6cxILe37/LhAlkkVS1B/791S0wwYd7EIF/tLbB796cD7tDoaxyubCFyqKcW5h0upPo0DJF+bD8qlZCLXZwck4qOosCAsc3H1BcHoV411kSq7uQSUOv+nCvPMLYClLX7KQaZWo/NkF8O3shPuDo4i6AlCUGmBcPAZ/VERYUDB0iqEjmvmh1IbIp5fMR9QnSGJCSZyGODSVSlRfx5gADA0JZn52aHQyVI9WoaMpmLacQPZKjQKgW+vBnrUeVkIoWmxE1bWFkGvzl+QV85CQZkJ6lIJKfmnsRHkOBCA3yRAhjYqhJ48ndUQe0YCQvzhTBgStqfefEAlCqaegSpZeFInjoTRUQl8xJ+32nC2rc3Q/SNoGmQKDkWKxcQJec+zIOmGeF1vpUhsecQJOzan9+EAZDerQuKv6KtxgmQ9b1MuUD5NdFqmr4vqyIlxQZMaHTg+ckSi0MgFP2l8AqzMch8zyfwNOqMBRU1MTHn74Ydxyyy1swifCYfxBgkfl5eW4/fbbcfjwYRYk7Nq1C1cx4tH/Nmg1t+jS9DX/OPu9dlyqxPHJArVNiXlq79E+pQUvgisDPDPSX3Cj1Coou1zZAwtaadOqPkNKnobaieiAvS2MEuqOaEr9G+HRrn4cSREwGZy8qSsgVFSIlx634hdfaMZ9t3XiFc84xtAesmBn2I8yHEYp+y62vpu9JYzjeeimV6Ps/xai8kfns2AkVFvIygfppgg+CpR3ZQgKEi8C3PtPrMkMYdHlhWmDAlI4oK8vORQlomPfSif2/7xTmojzBK/ijs+mmyMZYh66BtXgRRQbudRlCky4swpjbys/7tEsbiFNQQDJGDe/eSvjDEgOirGdo4k+ph2gLhiNigU/ykgkDHu6c8ovh73ZTatGAprsLzWndxKkTEKl0owLzFPZ7+ebpvxXBgVDQV0TROTMZL1slsuxzGLGtaUWLC8qRqOmeFgb6NBMCWXh/ttxQjMGq1evRjQaxZ/+9Cf2SMbBgwdZ0PCjH/0IV1xxBWpra/HHP/7xtLhRDDMXG5jV8Lsv2SXbYmFwsVFarcQN3z4xXuzpIMRmBoqiSbCleN9dedkuX/mlEqx7vwsfvuEBF5CCBJGPIjxtJ3zLVmC0/ks44jMnFnK0tfkmPT5XUYxuGQ8xtzdzRtC2SuCBTCT/eh7FrwNtXxu6ywJ+3/4Blpf4MN+4CHqZ5GhIIEGiP/24nZE644JK/TDiBczEOHSjDgOQIwpbTOCogxEhpaauXI6N6UBEw1NxIB4/U4eLbiySiJ3UaSkAeg4YH58Hh75BkBwWe990oOLyQhYgWNe54djuBRHBqdxALYjUUUGwb/HAsSWHQVWutlQRCHSHMfOJeiak5NotCXAZxqphmKhhgbWqVIGKywvQ9Xx+bnnDIACWs6SOFvJTsO75V4Z9EWCoPot1IeSyV85HL4GTn9hg/zrLPFgUBrxk28JWygQiLBI34XrLGQnSHDHrN3uPMg7DfyMqZCYc9Hfjbccu+MQwRimLWBlBk4bPkQxqSfxl18tp/0YBwxn60aj4HxA94kQpR3bKg7QQKAtB5Qe9/uQS8D5O9LYHsfkdF7P2VWt5TDlDj8YZuvx4CCMAfe0fujx4fcCBI34pfU61+YuLzBjr2o0nf9eLts5xaVsWKXAhtb8bvleCn7V+A06/G1x3KRCVQSjthagdXNneVPJ9yDGW/btBq2IROqHn92uYaVNW74Y8NAwexwIQ757Q/SnAP6Qjj4MHhep7oOCU+HL599ColXrJn32oB7vWe0asskgkUHKIvPimVIvnXOgJhvHNw5kH4esfA0q7s2cN6r5QnLaUkC8YUfE9FxxbvGz1TzoCJecZoa1Wwd4XxuY1LvR1hFDSHYK5M5z13CsKZGj8YQUO/rILYSIwxr+rWGA26pYSFC0yYNc321inQjYoS2UI9acpEwzBrH82gB8im02cBCJoUqAScefxZaa7pjigcJ4eo79RBiHsZ5kCsjvOtAHSHKhe8pucFsiezk3o2XR/ln3hYaxdjJLpt+BEg1QRWz0d8Hu7Ua4wwlwwZlhmIyxE8Jmjf8H/CujbuqJgNq62pC/9JMtK/6V3DTOKivssUKaApKC/WLKYZSE+iRjJHPrJPML/YpRWq0Y86RxLUPDPngG8YXWmZHEPeP3Y5/XjutKxuPa7dXj0F/2wDcRXNNzgIFqqYB0AOzybYI9YqXcIqKGu91SQ3Mg61yv4dtXPhv1NWVMIbEhDPmRv5MBrFRC8mVtZaQogjkE8KCDIh8vwx45NRFgM4eHue3BH7QNQBUzYtWHkQQH73Cgw7cz8VNBIvXL/Vi+zdS6tUqLOqEBrhszBlnnA8hcyb4uUBbX1x17b9DYHceCXnYiSxbU4+FzfCieqP2NB+UUFWHqtxFMgASI7BQZZELZHceAXnYOTcfygYr82/6WPiUXlCgoILQ0cKrJl1DlAP1o9PCgQRBz5fQ/sm7N3PMS7PCxn6+E5HECwO6mGzINlOEgrguDt2ZolKJAOlLwbQu4OqIwZRJdi0JXPhNJYw14bzxqIEQWCTbMQaJoDwWuGS69AYOEAI5AObUnNhdbeIN7c7MD2Iz5EBRGNVWosm23GhIooBnb/E9GOdVCKJOsN2JV6ps1AMs5xMyoFL4eeV6VIGv83g3mG2DczQ6RMBlSEefrRzGxpo6eJtYuS8uFcXT3KlIMGbf/tOB0YfMIR6nHBt62dCQSRNoFmckVKb3k67PL4WVBASMP1wjO9NkxpqML/3VvClBe3rHGx1LuhQIZZi42YtdjEshn7e3eBZ0Kq6WdYirOPBPYjLIah4BSI+kKsZdCzoVli7WeCKKLsW4vR87s1EHzpNfhpaNuDqpTnhNRuPsYwlvPNieAgIkbwgXM1ZrgukayTsyCdLhotEMfP0g3jetA+sjZBrZKtIkmX4vk/97GMBL2HHhSEaIw8VMuBQBqS+eHxwMb5wNz16UmINK/s+1EH6r9SiqJYyjtfkJ3ywbu7GIEx3Rfe/k8rNFVKmKdKbXdyXcxIKVsyRwZEnFkiKx7oX5Odi4HYRxzUR1Bp4iFSkJFukyJQtnz4oOzY5mV2ztlAmQ3DeA3TXTCO17DviciMvvYQI1Oap2mhSLLrJgnkfNSUosHcx8bxMlQs+CG6N96HoO0wxIgGrnduRtROJiOSsBApGJP/A52r8T+rZNmbfLBhnxt/eKlX8v2J7er2Jh+2HvbhnIrNWFyQqsIohDyw7n0aYd8A88mIo0JRgEPB4xSZiyedc2RQThWQBgM5JmbL+Kh4Bc4egZCRJxJlGVh3JAqLQo45Rj3UTPDsk4nTgcEnFEIgjN4/rYWX0vFsjIm1xBXrUfbNRVA3ZM46rLA5sg599LeVVidurSplNsbJVsZx2MIR2CNaCKIe4NIPkoqACvU7p6L9AyvkAS/CGz+EGMjPbCfYNIDy752LrrtXQAwNkhDjzAfqECCN98T5UAA+yak2CTKo5SSaMxio7PJuxTz1pcgbsQmSTu+MhQZc8jnpM9kEs+4o7K/uQahVEndRlBlZ6+OrO43Yv82XGDPj42bILaDyGaDvc4A73jggAjXNwLi9gCoAHG0ARjWlCUxiX9bRh3uhrVPmPYEQiAMQNx5KCx7oedWRCAworZ51UqdOAB3PDJEyQgC8R3OvROkYXQXAwVs0mPBIQOo8GJSyY9uhLggSehqKvpWSfkO2C5mspEd/fdCtkCYDChTokQ5kjpSPmpJck5ksnPI6tRlVZ9+JgO0wWv8+gKiDrp8hExI1VPgEHPldDybfV5OzRDHgDOOhl3ulWyLpXooHCKu7ZqNSvg9j9ZJ5VDJczSthqjsHKrMk7dugLjnuwICKjdFPSFBAoBIBKRmOUhcPK79s9bZgjWs/+iNuFMi0LDggsiG1eKYDjQMv9NvxYr+NCSaxc0FCSF39+Ex5UUpX1CcJpwODTyDoYuy+dzX8+2I3NBsgpBEiYvWi8663UH33JUxwJx2a/MGsQx/9jXgH6UAs/6d7rdjrJR4B2ZGeATl/BFr525DzgwNMw/ZpOOPlSyGLyGHlHTAJm2l9lLelqnd7BwounYLa+66Ac9VBDKxpgs8RZn4F+1GBbiZwNLg1+9kCREU8QqdbUwat/HUo+NQSRxQR1mpYUqVAb0c46/70XwZM5NRYUGTA2Ok6mJJSvbZntsH+8q6UMT7c60L/YxtgQQlExqsYkvomSQMROGuHFvWfN6DZ6of+Ly5UtgFRcqmMi+VlOzEcWPq/7vP563+4dvuzZwAEwLXXL/lE8ByTOtaPVcNDEt3pLhRBcknMCQHQjlLC0xJKy52gp/xaoLkeKCwArvtdDQbed8O+ycO0G6h0QpwK0kVIB39XKPscLhBpcWTKqtqyGeAVWgjhTIRJjqkiKvX5k4FpoldqRsO9U5bZR4P2tSsM9z4/jBOztyWv3u7KasfBI4oN1jPSBgZMwrl1DYrNN7Nf5+gb8KZzuOtjOtS28DhjvRyjm2TsWm2tFbB+fhiaySXQ9ezGhoJi6fhOcJAwEruUfOGIpn6/pOtwb/cb2OVvT2hBdMDGfn/DsQM/qrgUOtnw6/CVAQee6xtUfYyH30FRZF1RAcEPq3iYkTyJ5E0KpJStqFef2vo9n9xcx/8wKCDw7+lOT9wTRLbCtr+S3q+doMjjxlWmKUcQB+HnzR3Yz4KCODhEhAa4Ql9ERJA6TCoPjcGZz1/JggJi8iqF3hEFBQSR9AsocrXoYLl2Bhr/fDUiX7wIH6gnMmtkPrZ/MsoUnLsOgQWbwMMGHnYo+V0wKv8EtTzVgpbKHg3qRjZQn3u1JeP+kNSzZzLgngR453CYfY4pJSgIHO6XggL24uQ3Sj/IyZEsnNOBVnUHt/gwR6PD3BciqOyQnpdRF0o+Cu4C4Nw1srZFmvBzv2jwnxQcjPleGctMHDM4sPfX3lzMvIyoPJLu41aT1IkMKJDLWQmDau3jf1aFib+qZuJNmYICglyXe/iSUVkkD1AA4drrQ6BLhGXyZzMeFJUHiiZ/ZthfqDvD2xyArzUoiTQNgb8zlJCUzgg+vyzLwXZ/Vs6uABla/bXp/ygKCCcZVo1Tl2O0qiQhu5wJszfJccujaow/IIM6yEEZ5lDfxOOmf6hx6fuFuHns56E5Vr/0PDBLm5/IU74oGeKW+K+B9djtl25GISHKLP2k7MJf+t4Zto1AVMDzSUFBOvyrpx9vOXYzUaS+iAtr3Qfxw47nmN/EqYzTGYNPIDzrj2bV9afnKc1NssLp0pKzjTq8ZXVmXGzRO2YZpLRycpbiz519oDFv+KfSAC2HN3wpTKo/Ydo7SyBykjQvQYERtpDxHDRjh0fUs5eYMHW+Afu2eOG0RqA3ybCl5gnsFjYwGmIuEBfibNNS9u9Jc/VwXsTB+BapB8UOgRY7IuAZDwxcJJ0HTZo6oXPVgaznn/aEWh5bkeoyGgctqtzNATi25mjjy4iRrZ9o9Z+1Fh+TOY5zU8LuKFNa9B0NHbt5EfECLjTDMFaDzq/poXzWg7LuwT/bC4FdM4DqVmDydmBsSQj2s7wwz9Dm5MjEYTnTAF+rNav+geXM7OxrIiO2/WOA/YxDU12H4mW3IRB5PMX1kdLv5IcQ91GI8zc6/m1F/2oXy3IQSIyp/GIzyi4yJ44lQyY6FXT95dF9FA+Ks74m05fG8UymOfErx+G28otwd9erTBQovlpOXqUX93FY/qrUfipLivBkFEHTeXm1BbtGq+G3ZA/U4tusUxajJZTZTTMdesIO1kr4vG1zDlPl3CiU6VCpHCwFeaNBrHHvy7hVASLzgyBTqxLFYMvzdo8XoZxNfcRrMSZ8F+JBx+MDa5ljY6Pm5LWhHw9OBwafQEQ9VKfPfkGyujw5FiqGj0jnW8xYaaN05PBbgW5tFc9jSeHgDUA45AugJ5SNYc4jKlZC62pEcUcqWzudd1vG/Wb/E4HFwwgDDEo1n+gKoJrg35s+zEh+HIqrim5ElWpwJTV9iQHvjnNBuwdQ2IGoGvBOAMJJ8/k84/CJJZPfQvI5LETmiVip5hBkLoPHkCPlAdPkkSlgFi80ovPfNgi0Ys2grEiGTOyfoojD93UPrlxHGhTEjslytoFN3IRzZxfh9gI/ZN1R6FyAXwNM3AksWgUIsRJKqNWPwxv9TMSIfCHIPTLncS02Mk8G1i6ZRhFRYZaheFHqdZwMCgb239E5LKNCWgltj5ow+tu/gnZ2D6IhN7OGHtqFQOfz4K+6pKAi6fMjzijan7Qi0BVC3RdL2OSrqVFBbuCzt1SKgGlq7u92Sr0We1v9GYcAKiWM0R9Gr0qLTZZydGgMkIsCxrmsmGnvBVcxHettW+ATQqhQmllv/q+qr8ZOXxtj4pMzYaWiAJO1Nbiz80XM2SRnWbSM1yrPIbKyCdx12S9nJSdnKfkx6lK84diJf1rX5WWTTH/tCNuZtHeR3MBW3seDr5aem/L7kUAvwuTmlQP7/V0pgYEnltXMCXG4SiodN5VwTgcGp3HCoCghwh+p0WS+oWRGNbg0QQGhVKnA92rLcW9bN0JJg6IYWyHfXlsBU0xvII6UoEAE1K2AmrqwOCBQBwSpisAB1+i/RfSolPdGYIAcWSyPY4jyHHhBxIsXjcEOhw2XKERmLpSJjEVkQpI3ygWTrAA3l/0fxmompDx/YZEZ7znccM9OHyCVKRWMXTwUvDr3bRPJUKUjDYjZi41gqZdjCQxEoOT8Qe4I2TETO59Ie8piBZtY4tbMcdAkO/pbZWzCZ0T1+HgWywaULDXCskA6Tu+RIGPtHxN4KfNQeoEZlvn6xGqZtCvuqq/CX1R92O31Y8ZGYPrW2Fvi+yIMtlAe+UMPxt1eOXjIooiA9QDzFqAP0ZRMgto8ipUexv+0Cofv7YK/IzxYGKUOkAolxny3XOqwyICWv/dLaf+h30Hs99a/DWDaw6MzZjCIoOk5mPlc9a9xs+CIiI7Mlnp5AdqfsmYN+EjeOhcWTTXihQ9sCIbJNGv436mFV19/BH8YOxO8KEBgIksiWrVGrCwbBcG7FbyXinwcohDweP9a3FqyBPMNYzBdJ5ES4/h2+QXwtb2TkikY/oEiLC2RnJeyjOMxViMRQS8qmIY6VTHecO7ALl97XhPzv60fYiCSwbkzD1Bgclv5hZioHdLNlOdNKA55HY2jeYEbXvqjz9zri9URT0GcDgw+gTAuHgvHq3sy/p0ma2FRdlW2yXotHm6sw3t2Nw76/GyQmKTX4EyTIW2bjS72nMIKlD4HKAekzyFQ+j1QAfReBagb5QgquJR6ahBlUKM9bQtg4jVyHgfHWrBubiU6K6WV5kv9dmh4HpcWp1cak3FyWOTFsEYypyVJS+Es07nDggJChUqJH9ZV4P62brijVJmVQENUtVqJ79dWQJ5mUtDPrUPgEPlOp/9MkePQLBYPO146X1EjMO1iI7RtkZGtxmOljlG3lrCOBJosqZOg8z82JlYUDzLkRhkTQhrK4jdP12HSPTXofdspkfvCIlMpJCdE80xtIviyb/awtHce4/QwTP5tTcaJrUipwI9GVaLbF0Tbg52ZUxFEhNzph689yI6TLI17Nt7PtAPiUsTYK0Bd2Iiyud+EuqwAk35bw0h77v3SJG0Yr4aBrKLTBJSCGEW/dyv6jx6F7+isrMdDmQjnLh/M01LLanH0rcptpnPgLtK6Bgpm6ljLJWkm9L+T1E0R+6kl46n/y8/jwqiV4fvXVuDXz3QhFBkMDuhSpX8uPcuPt8ulfWZBASF2LgbjsMGWBjIZ+kPvCubaOEWbmhWZpRuFZo0F0RzlQF7GZ1390/hSpUjt5JiorWSPLd5mRvzLhSPBLC3OeeD75RcNCwoIZNOcT+ZirHqwu4UwSadBoVwGeySa4Z10XzoBPntL7amI04HBJxDKChPMl0yG45XdwyafKAfYCzT4y1gjbnG4Md+cueddJ5OxVfOFyC3cQYGENgAU/QOQxUrjybbLqm6g8l/A6Ps16FtkQN9qV2IUEqCGF2OhwyFWVJCEhWMjmSBiw6xyvH5+Q1o2M7UBLbOYWHkjHRaZluEF67+yVB1FzDcuznhcpPb4cOMobHR50OQPQM5xmKbXYoIu/cRCMCwcDftLuxD1BIeXFEi3QCnDurPKwW8BFDHRJaJbeCYC9nOAB2y9+PWUKmZHHCLjnnS7zgHKYnlCe0BPXhnXFEJXK2kokD1zx9NJq8/YNqgtkdrexn6vnAUDyaBJu+5zxeyRCSzIOBaiYa0yr9WuqZ+6W3NHRFQiqLlRjc73f85S+QxJffkB+2G0vXU/LKNvg8KgYoFALja/N9SJrV13IxAZgKJ9HHTIHhgQQgPDDXWIYNj9mh3+tjw7Hsg9cquXPUZ/s4yVQCjbEOgJQW6QoehMA8wzdHnxC+IYX6PB779SizU7XdhxxIdITODo3BkmPB54C7w/90SXCg7P2zYNCwwIphl1sB11ZM5Q8hxU0ysh4EDGrdP9udSc3qp4iqYaOl4FbxahJQOvhls4xkwWc1YswQTNYBYqKITxgfsQc1+k1kQlxyOQIRrmwbH3DpVCJgn5L1aW4DetEnkm+ezQGEcZTSj2ZdzmpDRByqmC04HBJxSW62eiSydH5NW9MBLngCYFGYedE4vx1rn18KvleKijF2O1arZaE0UB/r7dcHdsYH7wCn0Zk2NVGvLzqqCJefZ+Ddoou5BmfKDn5DZg73oPpl1tYSutYP/gqjiEUkShhRqdUCns7MYJ1xXg2anF2NdoydjiFBBE7PH4MdOYftV2tnkpdvm24oh/f0pwQJkCujGvLb4ZZnn2nnMFz+FMs4E98oFMp0LlTy9gGgvUHor4gB4VIWqVWHvFVFR0qaEdCwQ44FAd4KwaFGBqD4aww+tH4zfLcOCuTqn2P2SuJPGdUF8k0arg3OpDsCeMMd8qZwp5lCnIBkpZm6YNZgLyhbZWNbJsQWz/qm9IT7QcCiEPp0XCwBo3nLv6oZ3HQ6ZPPTlRdyF82y9CuHssBiCtIlWlclRda4FlfvrvMBz1YXPnXQhHpfq0oPXktR9DuQ5UtmElmZHGT3QIHND0UC+m/6kOo754/O1qZr0cly8oZI84KJO0p6ljhEGBNHEfDPTAEfHCLE+914znjGVdTmIocxBbc/FMXKLW4hXHtmEVMkZm1o3CfP0gaTMZJDF8rWUuHut/P+P+kbdDNufIXPALITQF+zBaXQprxIM7O15EbwpXYahhB5f4f7HcMIyXEMc0gw4/HlWJp3oGUlq8x2pVOBJ5D1E+femDvp8LY4ZWpyJOBwafUNCA//KUYhwYNQfFfV7IIwIGLBoENKl1r9V2F64qUKF7w2+kGm3c1IXj4Tj8KgrGXYnCcVflNYH4t0XSBgWD+wTs+MDNugcm3FWNzudtGFjjSqxCteOLUXllI4yTpJUd2Z3ua88truLP0gZFiopfq7gdq+2v4V3n23BFpSV6vXoslhVciom66TgZUFaZUfv7q+Dd0obuHe044vVjV5kOuoEizPpXzKWPsgciMH8jsOUMYO0SaaSh3MdmlwczR5di4t3V6HnNwSyV6TzJzbSW4BCOCxIlidiQkdC+n3eg8srC7K1vomR0RCS6fIWQaELZ7Pbi7XInFisBRSiP1kk6/4Uy1laYDyGSWvqUpDJIo05mZ9sEwjYl3Gs+B9MFD4KTSxyXqKcQrlVfghim4xrcw2BvBE0P9jLJZ1I5HIpu9/sIRSn1L523aGUnomY7eIc5o5ser+ZgSrI6j3ijTIL5WMosDERnCIsYWOtG2bKTJ697PJx9nxAelj+Um7Wo+MF56LpnJcRgUnBANzzPoewbC9n9cL04jzk8vmLfhs6wPdEBQI6ONAny8bJGGiw1TWZ9/s9YP2Tkx/gUTZmEG4vOxExdHd5y7kbkGE8+SRv/vOMF/KTiMvzD+kEaAiOX8lOOCPQIYolhIi4uPi9hPpUOlF38RUM1ekNhuCJRFCrkTP1wi/dM/K77rYTXAiFesvhc8dkYM6Q0cSrhdGDwCcZhX4AR9nrK0rdkCbHX9Bx5BAH7kdR0bOyn/cDzUGgsMNbRrJUdftLZzwJaRflirGuFUYaiGwuhv8YErRdQaGQJW9s4yvMk7+R6HQUHywovx9KCS+ETPJBzCqj59Mp2JxKcnEfn5FLcZYiwisKMDcCcZOmEpPF59gYgpAQ2niU9TQIoBCLJ0eqx7pZiKeW82YsjD2QIlmIKefatnrzaCLOqHWbwzqDN+i8DLvnPoCBTNpReYBpWshgK63o3ul91wNcsrahkWh5RYnTnmr9EHoLPjFDbZKjqt7GnfLvOk4KCNOZehNZ/DKBwgR5yberfez0bU78QXkRg2VvQPXM9G7jTBQdVV1sgUw1OZjShH1OpJRkc4GsJ5pVVGUoizWvzHIcGVSlbHY80QCAXxsIh2YI4NOPLUPfg1XC9dxi+XV3s4lA3lsJ0zljIC3WJz6aVPTk5uqJ+UOXdLNOylHs+IP+CRcbx2OZtgTPqg0WuZ2RI2i/COcYJWOGUyqfHgggEPNy3akimID14iLgUO1AYckHLX5TX9omMmExIpCzJfbWfwkrnbuzwtjGq9Hh1JSupEPHyVMbpwOATDJbBznGXcNEA/H07s77GdvBFKKOTE/4FmonlzHdhKEgx0OeOZi418kBRhQI73F682G/HQZ9UE9TLeJxXaMKlugKok7gCtRoVRqlVaA2kV2KkV1aqlKjXqFImsbAzCjEiQlkgT6nL0ook2Vr5ZEOMqZsRsZ2PAHM+yP762euBrXOBqBKoUqWuQFjGRibJF+dSKfQ151D8i0FpyS/w2ub2JbwzaLNHxwJPfxa46AXA5MieOehf6ULFxZlLNdTj3/WiPWUjjDeRN0SEOiaywEAIqRHumCgRNjK9OiLCtt4zzIUyIg6vT4cn7YX3yv9A8/pF4AIaiJwATuRZGafymkKUXpi6DdbCebwyfLTIVvJpryX7Ri+6X7XD2yQFDtS6SZ0MBXN1IyoJXWSeit/3rhjRbtFK9ixDI9S8ImunU8HyyeyRDbSvJvnIWmrjoM+n7oh0+HTRAqYlQCqC+ZAF04GCgny+whAU6IERsuARBCI2qHOUIzOhTGHCZ4rOxGfyq7SdMjgdGHyCMVWvwyaXJ6tQUWOoK70nvFsLHK0EHAZEbEZ0hF4bfBO1I44rRdnXF0FeOHiDzz3XiLZDmQlAlPFXzpbj163dKc161O/7cr8duzw+/HRUZQqRkMg7Pz/agbDIqDqpkkkchy9VSn3ghIEP3Oh+yc5S5HEhmdLzTSi/pOCYVlfHi5ZAkPEFCFXUvplDtE4ZBmqbgeZGYHFB+gCGxIVyjVpCSGBeBcwpMR14QD9GDXVZfoHBW9bh3hm9FYCjADBncKzMRs6LgySVWVCA45lMeQhhFSLWSoT767IGBQS61IP9w/U2DMpaeIKtEiEsCeHpOxCevBuKg+Oh845Bfc2FKJilg0w9/HPYNZbXZRZvN0iDKJiI01AQkZQIpcnbp0CEskfll5hR/an8ZxZyBzwY6Gap9+QJND4hDp0Y6TVGXo9ybiK7F52RKIqVciwpMDExNNkp4oNAmQMSY9rtb8d7rgPoCNnQFsrQ/nkCEIpNj9HjID1+UnE6MPgE46IiM2PTpwMNS7Q6n4t+BIeOZnvrgT1jAI7Suem1aqkdr/PON1H960vAq6UJZsoCA7Z/4EbT7vTiKuPn6/CSaXDlmQy2EvUH8dqAA1eWDEbfozQq/KKhCs/22bDF5U0MXDMMOlxTWogatZQtILIdI9xxqUIync/Z4D7gx9jvVXzkwUEfkbFiUOZJUKfXfba8mNUh00FdqoCHgq8si2pViQIVlxfi6ENpvIpp7pJxqLkx/4nkiD+Q9uMCmvROj8ngNZknatbOl8PkiFdxEAIZhJcInICosxSuVV9GPqD4N504UrXpPHS5303/JnkU4Yl7UFN2Lor0mQmopBHBWg0zgYuCN/ZBcJJoTZrmXF7qDDFNSQ0MXPv8UlDADiD5YKQf9DfTdB1zh8wHFEjfVHQWpmhrmPTu0WAfMwGao69HrbKImQQdCUrXDu2hIMrh8E/Gk754+yXH6uXkwkoteaR5oszQFXS88PijeH+3Gy09QchlHGaM1mLGGF1GdUcqS0zV1rAH4VX7Njxp3TCiRE6+rzPCD55TQHWM2YJPMk4HBp9gjNGqcWtlCf7S2Sfd4LHnuVhQcHtdBQocVvQkE3aaK6SggJBt9SWICPe44P6gCaZzJftRmYzDjbdVYPV/bPhwhRNBv/SJWgOPMy80wzEfEPoHe3Z5P6DfBWiPsDETwSpg1WwHriguSEmNVqtV+E5NOTzRKCPvGOUy6GWDgzv1tCdY+GnEaFy7/Bh41zUsfXyyQSWSOOxkypcHlk8uwgxL5v2kPveB97KIuHBg5DpqcaOUNynsBXsHV8iUfiZ/An3MGpoEfOIdInI9z9rihq6GKTOTbrg8OBEYl77bKrEvhXMy8wsYpyCXW1cSuTIt6BoNp9pc50LhGcM5NyZ1A0YVXIpm+8tpbXnK9AtQqpuTdbvmmTqoSuQIUpYkrT20DNqpKyD4TPBtvST2ZCzLIADqCgVTdRwqmESmWLkCqL63nXkHBuxTOQ4zdHXsMRTnmCbiTfsuPGFdK52F8BRApO9xcL/iu0JmaWSadkNJEd7f5cKKrU5028LQqnicOcmA82ebUGTMU+hnCDYd8DCXyHBETNiTv7PDhQqLArdfX4FiU+7tLi+YgRpVEZ63bcGhQJLmdgaYeQ20MhUjI2aGKAUF4FCuPwtyfmTX338DTgcGn3AsKjCyXvxVNicjGtIgP92gxUKzEXq5DKJ6BmRqM6IBp8Qm21effjWTDhzgfn8wMCDIFRzOv96CJVcWoL8rzG7mkkolZHIOD3eQWZK0dVUXUPYUwAeSgpV2QLdewIfrulFRpGB9/DTBKYipziba1IAgDtKhzzpwckDvCudHHhiM02lgkstY6nWgBOiuAEq7M6ywabVYpcSkiaacvgZFiwwYeNedUVmwZIlUhiARo4LZOkZmI6ldOp9EZozDvsWLlkf7JMng+Caofn5VIRPbiQdnlJ1Z63CnnF6dGyjrHHR9THu1iJK6H22/6nrLsA4IPk06fiioJGKcqGZtgMN63BK/558JKllqgqoo/YQyuvA66JXVaLa/Ak+ojT2nkZeg1nwhqpmHBodQ1M2IiHJ+eF2fMlKNP6zEgV90SiWURG5eynhop78OZflhKPTlKD+/D4FDE1h3CGVF6HsikmY6rQLv0ewZIsnC+sSlsz3RAJ60xezIBS0gZM4u0eGt6neieVUQB9oCiUMOhqN4faODOT3+9NOVqCvL3wac0NQVwAMv9Ei25HFz2Nj33WML45dPduHeW2tYFiEX4hmEl21b8bTtw6yvvb5oPusG+GnHf+BJq5sgjY0uaPEipmNTQIvz7LsYN8Et+Jkk8yLDOJQpT15XyamA04HBfwGICXtDWfqbm9zgyuZ8C13rfgnRqQA82RnkKSB/IXf6AUmh5FExxPlOxUvcbi4QCwpiXC22H3QDk3IfjUVbfOiNKflRvz31n1dcml7dsCsYwp5DLhRnGzhFwNvpxx2t30a5soopHY7TTB5xD386+KICVlkdeMfhhi0cYYEABWNLC00wyGW4vtTCzKUIKy8CrnsCoM66lOCAJlcFh/ovDfIlMoH+Tl0K6nIlel6zD2rrx94W6A2h7UkrcyEkDgG9Xjdq+IrGudPH+u2HrsaJVU/nnAbi+Dm/0GJmgUEchQPANf8A1P7cXQm0fccOH0uHT7ijiukgJLYzVy+VRTJq7AOWMwwoXmyA0iJjRk/xIIaOjdozcyI2UxFxnaSia7LoKdC5KjecyR7hqIfxDRQ8lQ5ENG1Yj4G3guBaS5kBGBo7WcdF3dR5Kd8Z7deU+2tg+9DDAi9mD12jhGWxBnLDNeD4TzFfBfae7By9wdOQhox4LK/JF++7DyIazyIKhTkXCuED5OgojQPJXyV14gRCAu79Tzce/EptXuZOcbyyQSKkppV0FoEeexhbDnkxb3x2E6wU2WwxklUO+TNFC1jXBOH+2hvwH9smxlUg5cfYVoa9rzPsxOPWtSnuky/Zt+IS8wxcb0m9NjJhIBRmbeP7Yq60JBa3pMCYsZx4KuDU3bPTSAu/9SCczauYRCyv0MBQeQYM1Wexf2eCxtKI6sV34+CG1dDk4S2QAM9BUZKf6A+BfAXInMm4W8oUJN8yE8lVLb5Z+l98ohcl4hVZ6NKKvyXQhPedK9AWPAqIBTjivQJLqS84R607rAyiN9yF/nAPdng34QzDItxQ8sWsvdPZEBQEvNJvZ7LMyWesPxzBf/psWG1z4s76KhYkkN/Ekz0DGCgV8fTngHnvAWPIgDE23hKZrfLqwrw1BSjVTJM2TXSHftkJz+FgIuUe9YjoW+lkpZPGH1bA0KhJO0i2PZnqVzEUVJopOc/I2vqoO+Tr1WX4Q3sPG5SXP5dnUBCHIAUczY/2YeJdg8p5RQsN6HrJjognjclRjAvh2OljOg5x6BvVrCOAxtsDd3blOFFgIk50fumhMOU/nClk+sS52v74KkTergfHR8EJMinW2D0KfTt5eG54G5OXkzd06iRddLaRPVIxgqA7CQVzdPB3Zek0IUnluce27XToCtnZRJdJyDcFdPG3ZBY9pOtlwBnBjiYf4wbkAzrnNOlnc2mmGGPLIU/GwECIhiCEPOAV5A2iZsHOi/YtaV9L3yeZQp1rpFFIglGmweeKF7KHM+LDzzpfYNbImSAMOVck5GSWa3OKFBE5/PdtPezd8cOlzC6Rsb9dU4bpQ1xsTxWcDgxOAYgCpSVlWaNPupkGdj0B59G3UroMAgP7YT/0MirP/AlTM8yEtwNa/Lt4Lm5XfAhVOM92MUGE8ZzG4U+HIvB82AL/XlqRilCPLYFhQQMjKo3WqOCJtVvFQcltKmBki61JDGnT1BV4w/k8SHWden694SkIChwOjQNGH8yym3wUzZN3S/+O3X4b3O8yJ8XF5gvY77TaP+D1sxuU1CCLs2gjkM/6nc2dOBpI32ZA23BEovhjRy9+Vl+FpRYTzi4wYLPLC1tpBOapMkyUa6HwipAb+WE99fmi700HPEeCGSfiw/f1YNrDdcNIl4GucE65XhLaIc0Ecl4kzDPpMVZbh/WbrLBYj8GohtLdh4N4ZGsXzp9gYcEGGRiN+0kFDt7dhbAtytox4yNknHQYiHWYxEFOhYfv6Ub9/+WhDEj21fv9rEVRYZIxDsBIs0RtW3ayoIBAQUEc9G/SAfA9VY/eSQdROmr4fXCiQAExSUAz22YxXXsjh5JzTlyZTMUnDfs8dY1kOWckf54jcUNUm8OdgREEBsT0z/4aCjhCaUS8In4bbAeeh7vtfYgC7RgHVfks/L0o82fTVppD/TgU6EnrZmiPerMGBZlAmYOlpkmM2Jkp20lBwdClGPMxE0Xc19aD342pyToWfVw4HRh8TBDCPjia3oTz6EpEgw5wvBL66gUoGLM8rUyxq2W1FBQQhrQeRgJ2dG34DWrOvRdcmhUyqew92WtlFsxbppfhjM1dOVeDlE7lJhdCNytVOz3YakPXr1Yg6qQlpTSgEA/B+uQWlH33HHyvsQIPB5tZyYD4eLSnlEDLtW4P26PYvGcjUC1N7jR4BKMzaNjB4fGAfS1gsg9fxQqcCEEWxb75sZppElY5XsNs/Xn4W/cAU1lMfussg461ShLRcSie7bOiOUNQkPhcsmH1BdAeCDLyJJE9zxoqqZx/soVp3W9weVgmYoBKFjyP5W+EM39PoiRgRIZIQ2WAE6qJ2cAPF0Ci1OaMASU68hBPyoTgeh9+pPYxAyrmr1GtwtQH65g5k2u3n+233dSHJ/76D+wZ2AFrqB9hMcT0J+q0DZhjPhNnFC1CzytORqRk2gFZrlUKLlx7/WzbRYsNrAwzkuCg900nRF6TEhTEwVw9OAEdb7Wj9MsnLzAgiWvK/hy6p1tqQU1yiSQxqLHfl2SwTxTm6BrwuiOmbUIGP5yVZefS3qV5nEq6V2UjKCNQyaG8UMFIjBlfQzLbJcrEomi3vwOrbdvQ7jgMLQJoUNTB1TYavf4yWPuUCIxyAjXdgDz9hUsZkh2+1rSBwUD42BwbXVE/jgb6E46RQ/G21Zk1J0PBAXHDrs9QBv44cTow+BgQDXmYOUzITalS6UIWhRDcbe/B07Gerf7VhaMTr6cbg+SLM0IUEPZ0wde3G7rS4aktSlvFSUOrF9airs2J8l4v40zFb+dk9begKoJdc9oRuNSD0UltSmQa1HnXWxB8sVVekoGQEAij+56V0Fx8Dpa0p3Zym/KkOyqCybVyGqil1HtUDjz3aeCyZ4CSPokQx14hAEF1FGtueAKuouH9zLawA3e1tKE9MFwKZZvby7ICv2yoStFVCEbCbHLON4ve5JcCg+NBQBBwd0sXE4SKf0/EFc0gs54ALVRohT00MFBZ8ritSXOiaPjrWFx5HAI+0zcBG88EHmzvwYOVNYh0h8HJiXynZ3yCxx9/HL+587eIRlPrwY6IDTtc9NiMN/tewtf9t2P+d6fj6MMxR72sI+ygv4JhjIZ1duQLsaUgbVAQB/0tcvTkq2gaxmow7Y91TBqb2m/Zc+M0zLY5nabC8YBcAserK5jWAbszlLuB0GxAjLdRSiMBy64VqzBgiMBG+hoZQMPAlPqRnaNls034+9vZy11LppkQFQX8oXclPvQcAU9aJ2oN0NKIIzvHxUifPOCjekYVsGc0sHgzYIi5vA1BZKiWSwwG2bF/vwEhc2aOxphcTTnbPT5cj1MPpwODjwEDe55CyDMYFCQgChCjYfRsegC15z+YWP1HA3aEvWl61tl72LIZkPPMJGloYEDkuWRzj5BKjkdvnMqyBnO3dMHkDiEs57B/PIf2cTvhKvChv8yNiFJAQSR1snW9exiCN8MKjnyAQgKsL+xlhYPkoSyftQQFJs6iZPvkKDgEIEIKFjxG4F+3ANUtwKgmiSnfUy6gddJmaDStabcZEiahNUPZhJ7tCIbwvsPNVBnJZMpx5HUcbPkQwfKbkS9OxJD9r+4BHIqpRMZPbQ4dn8Rr07HcSeeA3Biz6SHINDyzAh4K6rGnFshjBYk4jd8NlHcK2LWnhbWpEsgOemPhKjzw4r2J11arR2G8YTJ0Mj06A23Y5vwQETGC9kAz7j7yQ/wr/DTG/bACR//ag1BvHikMDuh+wz6iwCBX6ozJCh9bJWjEoACAygonu7uGMirfKb8A93W/if2BLsi4EETlRgjRcnDRSmh5A6pUGpxTYMR8kwGrznDi8RUDGVf29eUqjKkcWUvfOdNN2HbEh11NvlSxJclwFZ9bVgxjKID3X1wLhbMNjcU8Do8RgN4iYOd46cUJDZY4M1cJvDsLuGjtsO+VAqAGdfryFHUpGHk1XMcgZPSr7lfZpxt4DZaYJmCZaQrjHkifmRvREbtxfTQ4HRh8xIiGffC0vz9ciTABARH/AHy9O6ErkwyAaNIaBrsBOFAHtJdJs4gmAP/cCISxEfAqedYLL6yU4f0F1ezBRwUIvACVfDt0itQ+YKr1J8O7qTXryo0cE5UYgJ8xCoYjY9aABzobDsNrHqzzUTZYJduCQHT+4PTLAe2jpEf8jUbl1oz7E43OySl8ssbmwrkFRvRt/TPc9L0o8hQkiB3LJP2xSb/GQdoN7zrcw/bRqwesRVKHQMbAKgrwk9JnK2pvKsK+n3ZKE1uay6f25qK0THfqKjBM1LDa/bGUEyibs+BdibyYbLhltQ7gT2sfSkxMn6m8FecWXZyS9u8JdOKB5l+wIMEWHsBfnv8j7nrgdji/8VtEm01QrzgHsrYacBl8EuhQAx1hZtaU7ypbNdmH4EZ15qwBJ0I/5eSI+3yc0MvU+GnlZUzoaJPnKIJiGFXKQpypH8v6/JNx/iwTuqwhrNjqYrLnRBqkr42GlrJCBb59VfmIuR3Uhnjb1eV4e4sTb212oN8pZZDG12pw6WwjSt/ZidbfHkaVKKKSU4AXObgMAp4bXYJmJsyW5jth2QMN0FkCVKcupDS8knkXZBJNOt80Bc/ZN43oGOKgy9wl+PGyfSuzcb6z6kqUKIwYr1VjvTOzMi0dwXjtyc9GHQv++674UxxhT7dENswGjkfQ2ZL4Va4phEyd1M7XYwFWzRsMCgh+FYLviUytkNL6ySI8RVnaYgRiDnEyyLjO1F0Ah8m6mamvJWe1HCAB1hGBB+tIaL586zAjG7X8A3AgZcf0aUyDfC+UfCzVnAZKriRnVtweicDfv1sKCqjOHrahIGTLErhJoD1dYNIfd8sRqUFG0q0aOGDT/MxBASWJBoqBHV1utD9jRecLNvjaBjND1MI4/ueV0NUPaSktkWP0N8vSMOoHMfobZUxzIb4fBJHPr5uFMjlq3/CF+CbHOgRjK7IlU5fivOLlwyaTMnUlvlx7W+L3letWoGngZQQFJyK1LYhaUpUvM2EkjSi1FzewlWc6wyHiF0ARwahlE/DfCDr/tFq+oWg+Y+eTw+HQoCD+us8tK8Fdn63CwskGjK1SY1q9Fl+9pBS//kI1Cg3Hdg9QcHDRXDMe/Got/v7devzj+/X4yQ2VKHlrK9zvHZbaUMlAPZYZ0Hs43LSjFeW+9KUCaWcFoHt4zf5GywIEhQgry6YDqUIeL8QY7+Ch3pXs9/Mt5pylhPOyiJ19nDidMfiIwWUxKUlAFBkZMfEejoe54QJY9z4lLcnWT5VmhpRRkkJ4INhshe35HSi6YXbsvRwusJjwzx5rlsszBJVsV+ouQMRCJvoyCHlNIQKttozRJN0YkSwtW7S3cgOPiEdy1qMaOdVQyUY4qD4LTX1UhhgEz3lgVD0CX+gyhMVBzoWK43BhkRkLTNPxYNdr8ApELIzrwZMvmoApmqk4FOyGG3UQM+wx7Q9N7NT+Ge/0oHcvtL+Hl0ovRzbQauALFXkw53Mg2zy3fzJQYAXmrRuUJo7/9OkAvQtQ/8OHHpmPrd46n7Uxm+DR/1fGSGukfjjxF9Xwd4aYf4DcIGMCSUOV94aCnDEn/qoato0uHF29AxF3FILFiuDMLdC+fjH43lJmNjSSY+oIDJZ7aqxjgAx8q1ptPYxyM1wRB3w+Hw60r4C+QBpeIw1NUG1LDVaHfjAFQrl6/oMRB3bZN+Ndlw67/BbUX8Zj2cuUHBDZJMSuJUp3KCKo+44O2sLMgze1Gfa+7WTkSuqOoICsdJmJtVGmW0UTyZSIrRQMkpEWaWF8UkDlgpGWDPIBnSeNKsZvarfDs7457evi383ivlY8VTvYejgMbGwchAIy/KV/DXtUKy24pGA6y4zEvx8KFmgyP15/rHjJgrof2oJWjNFa8OkyC/7VY03RZ4v/+3Plxag9Tn7SycLpwOAjhtJYBZm6ENFATOI3LcREGSEO8+iLELAdhndDBxDOElwIIlyrD8Jy7QxwsUFnmcWMfd4Atrq9Qy5+WgWKMCieBselkmj0vAGlytTuCMW8MeDXxuyb04C2HcDwjorkF5QuM7OBk9jXVHeOp3zniQtxNHAY61yrE+2K7DM5Fyzqp3F98Q/AoRoKjmPpNzWTI7bgJ7X34QPnamx2f4CA4EeZsgpnm85D0P46RPlWdIUzrwToPJDQSKi5MyVDMNO1FQ65Ge9aFoMXo6BwQdp/Djqex83lxZhv1ifsZJkzXiTKjKAscjnkI2Bok3MkqVXGswYkjjR+FzB5O2BwSQHA5nmAKgAU2IgjIiksnrF2MFWfrHhNwkaH7uvGuB9XJAY+0uenx0hALZCRKfvgKP1TyvP+c1ZD/+Sn01oV03icTGhN2V5ScGYPZ+YwRMQwgpxEvuN5HiodZb+k94Yn7oXwlgucR5e+nCCCuRFmAn1PTbZnsc66E2+HPgOBDX8ck37urBIxZTuHqjYRRUoPyqbyqF06DipT5oHbsdOLw7/tgUhF8djl49ztY98BXeM1NxUlvgNioL8+4MArA3a4Y716dATzTXrcWF58UgMEKgMc7Za8CCbUaGDUnbrBiGfd0UGiQRrQno9z2aCMRhFKo5LKeAeWVD+LcFLGsSNkxR+b12Jr1I3zLRNZoNMU6kFrHmZMsgzaD1xADrlHiag2DEErZWubgr2oUVlwcVEBGjRqvGF1MIEjuhom67S4oMiEsadoGYFwOjD4iEGr/8LGy9C/87EML+ChLZ0+rGWRKRjO/Ra6t78CH28bFhUnQ/CFseHZbpjHmDF2mgYBoQufLwliut6IVfYAWgM08Iag4PdAI18PGZ9M+mOfhgqVZFKSDNPEErzL1WC6SN7iKV1V7N8tKIMRmQ1HiChHxDDqb6dH6nnh8KniL2CKbgbedaxAZ6gFCk6J6fp5WGg6DxZF+tW5QWbEBYWXs0ccvlAPPggewCiex35uDvrF6pSsgaUfmLRDRKkbqCsNIGKoh6juZHVT6eiBc22rMcW9C1tNM2FVWKDleZw7fhGm6VP95akN8sV+G1oDUmBFrzun0IgriwtjwUt26GQyLDYbsMrugjIAXPUvoKRHClro3VofQJxMcjp89kbAawAu/o80AaflzQmAe68fngMBGLJo69NkRpMY+TKQvK+iQMbKC+bp2kRGocO1Oml9IyEy/gB8VzwPzSuXQIzIIVAlSqR0L3BgMlB/AFCnIWpXqgfbXt+zrsDS4uUwyIevxN/uewXBsFQSmTNnDlQqmiNiJRJZFJ7rnob+X58G/BK3gwUnVL8QeCb1XDgvs1Jei+MVHLK9itWh7yWCgjg8Jg7rF8W3aGDGXqoku++hINGmI/f1MC+KVDlA6UfvW04mbx3vGHmiewBv21J75Wm6Wuf0sM4W+jxtuonuODDgCuNPr/Rhb6sUaBHoklw01YiblhZBKT/1KsnU+ZSrXER7rRIiaQIDIooKQG0X5OARGZrI96khbh0PdBXjQ3D4EJ3Qa3g0TvcDVbGoNguEIb8r+nUoWDUaun2UQaPWVhG+sf2wn3sE8tLBfSPJenp8knA6MPgYYBx1HiJ+KxMmSogVxX6qLY0om/XVjEGFqqAaPpBSXPaL+J1XnfCJASh0PjRe9gKKxh8ABxluMCxAoHg8/t7/lyzvFnGW8dxhzyrVPMQzJ+KdD3SYJHagBFI/nQNa7EUlDqMUjbSij89qSbkzmktHf6sMyoL0l1xrIIhX++3Y5DIjLF6NCqUCSyxmLCk0xkx+8ocv3CN9LCfgfOUT2BC+CE3CNIiiDAtXATM3snmEzSfWA25AOB/y0gYYFjwFTjE4q5WE+3HBAGlHcCgcfzUKh6iUvTZgZ2nC5L3zCQJbGZL5zM+GWExnwqfLi9AZDKHm5QCKe6VxcQjfGiYHcP4rwEvXSWJPWcn0MsD6oSdjYCCERRy+vxvO7UQGGIzs7Bu9jHg49rZylsnxhYnANbxKGpqxHaEJ+6DcPRmw1yNomIOWSTz4Ejl0b0QRXeMd9rb5hYvxXPc/4It6WcbgJwe+gasqbsR4PXUlGNAb7MSK/lex1rZKOl6TCbfffjtE43p02FdDsXU6VOsWQEbECtorgwuiMghREUbhmApUX1AFXX3mNHdUCOKo7UW0CBMRQnbCKJ3aF7tt+D9jMWu1JPGkoWWB/vdc7DxmdoUEEy2iwKDVHxwWFCS+C6IMhcJ40+pMcR09Xrh8UfzsiU7Y3am8IEpWkFGR1RXB968dOWnwZIMpreagKYV4Dj6ZIoXOTLcZhXTfurICY+tvxAPdb+FAvB2T4FcCq+ZKnQvJAaFfwNb1KqBxDDDtUNbPFZO+bEWPHpWPzAUX4VlQQKCf2kNF0DRZUPjjEmDQYuYTh9OBwccAuhktE6+HoeZsuFrfZa2IMoUe+ur50BRNzHqz6mZWw/5SKh8gGXRP2aGDT5RSx2GvGnue+hSm3vx3FNQ3o8f9AZS+/ZigmYz9/j3DSFd0c43XTME0fXqnuXOvtuCP23xo8xcxejJV/aJJ/Vz+C7Wom2GCa5VbapcjOdeZOmZuk2zwQyC99pAYxH6PwFTAkmVDO0NhPNbdjy0uN74eVCDSagOnkEE3tRJyS3aFNTk/OPAruBDOVr6I2eIKCB8sReVGqUbNxzMusQ+M9NXDs/lyGOb/O/HeCCfDPv1E9GmqUWI6A3MCIVSppWPoD4XxZIy3MXRuoE02+4N40+rAZcW5B3sKHm4zl2LXntaMixYKBOqagaLe/PwLor7U0VUQI+hyvY9210pEn58CxY6ZjI+ROOGxn9SN0Pr3ftR/uRRKmRGByNBsUgzqIEKzt8CosmNR9RWJp4OXhbFng591BiQP8FqZDl+v/xF+13QnIyFaw/34S+t9aTc9d8Zc/OTOn2DMmDHwhSywPW6EYus0xh2Jg/PowYtGyJYcwbgvDvJPMsHq242oGMCAUJmU4xoOWQSYsw6YtsWHnX6JF6GpUaLi8gKmwxCH52CO1jby7zgSZJmZNQ5XVg8wep6Ebk5kYPD2ZgcLCtJl5KlqRRLG7/zs95hcr4NpyVKoampxKsBwVgOsz2zNGHAJvIgDc3jMnOtH334zOvsjUMg4zB2nw7QGLbx+EXsORNDGuyEokjayv14KCjJxYw6OAho6Mmog6HgVGtVl2OGjbKmI4pcngAtTUJC6Pfqdi4pY8YgLE+4bNCr7pOF0YPAxQmmoRNGkG0b0HtXoYqjHlSJwqC9tHY4u050kH5iIiqUhqXnleSi49RE2uAajVixRzkK1uh7vOVew2jxBzWmYAdHFlmsgyyDzWViiwJfvqsJLf+vH0b2DKcqoFnCcDTRP8+ED+HDzZ4pxTmF6RbCuYDvetr+ErZ4PERVlcAS/zxodh+YQS/q8WPjiVvT0+xJmOf0coD+zASVfmJ/SlpkMk3o0VLJCBKODPA6N4IfxgyzqdSKPcPskRD0rIDO4cEg7Gs+VXgm/TCsp+Vq9eNbqxUyDFl+rKsO7dldWspIYUz5LDgxosu57x4n+d1zMLIi0BBRmGeQmHr7mUK5MJkNxHxDQSO2A2UBmP4nPFULY3n0PbP694PwaGDfflJk8KAADa93MLbHCcBZc5FmRJTtVYTg75XdVsQLjf1aJIw/0SCZIccEkEZh/1hkoVj+EZ9ufwEbH2rTb0yn0OHPxmaiulkoPwd1aFhQQWCATQ3z/o++MhnuRnwkEZUNEkAZ8WRavEAoKrngKqGxPDb7IIbHp970I9kUSxlO5CJyxHWaP/tCwpPYwEEeFeAhUpiJJblK/JFMy6ig6lsllzU5XpjK9BFHEK5iJog+egOvd1Si6/kaYz78QHzfkBVpYrp/JlFTTereYtbjks8shN2uBM6Snu20h/PHlXqzZmaQIxs0D6juA6QekEkFzZXZxEOpmIEv6Kek5VGcZxuI6yzz8rvtt7Gu1Qt2emctCPAdynm0/HEBNjuvyVMXpwOATBuYQ9+0l6Pr1CgSPWgEZx+qc8aTaZoxCC6R0awIiD1d7DQIOE9RMK0BAt+tdLK9/FBcUXImuUBvLHFQqa6Dkc7NkiyqU+MJPKnHv9k7sb/UjqgQCtBCLxRIREfhrVz9McjlmGVNX90f8+/Fg168gMFIfBSkz0gYFZkcAtzyxE8pQbCBPKP9IBKWoKwDTbWfAL3phkJmhTvJMp5LLaMs12Nv358Rzsu5y8CQOkP3kQqf7BvrGNuFfwtjERyZPJdvdPvyuvRsajvoXsoMREgURCp5D2BHBvp93ItgbThwLBQoha+4W0GRcX14IxfkCel9xZF6CikDxosF2xKP2F2Dz72P/lrXWgCMpyWwgnsI+PyrmLUSr4w0EIgMpq/X4JK2WF6PCmBoY0Ao57IzCcrYBoYEws16mYME8TYuwLoh/fnM19uzbzl7bqJuIRv0kKHglugPt2ObcCG/Yg/vuuw/PP/88HnnkEbj+nWNSjKXscwUGWqUkhVvFH8Lu6FlpXzNlG1DVlqbEHfu+yOyrcK4O6jIljJM0zGExI3jAOEHD7leDTKJeZgsONDwHT1TAv3utTHSLiKyEGpUSV5cWYrYxP5fBOJzeHO2lHIdeZRkeqv4Kbmn/K/D0P6CsqYV2fBa2/0eEguWTITOoWXdVpD92jnkO+jm1KLpxjhQUxGBzRVjJxOMfcrwUBDRVAwEVMHsPEMljqiMNhAyQcTKoeSV+UHExXjrahM15HAcFByMNDGwRL1Y692CjpwkhMYxRqmLWRjpJU/WRZh9OBwafQMiMalT9Yjl8uzqZmVHPYS+OdMlwQCyDN6YUmA5hnzYWGFAa34+I4GXp4jp17lTsUHQGQtii8AMZ3kqX8H/6rCmBAZUO/tbzIKJiJFHCiIoVsSEzNUNx5ocdLCiQpSXYifDv7MTja76HzlF2yCDDTP18LLdcA4tCCooqjYsQEfw4bH2KpdG5SB6sfA6QqUqxWmcC3N60Ez/t6S6PHzMM2pztTXREcWHCo3/pQ7BvMCg4JpB+/BQDZDoezi1eZpaUbrbxXabFw94BcD5gglYJwfEuK/mwTRC5Ig9Qp4Oc12B21c+xs+cBOANUfx0U0KaszJSyb7LXJD63NYjD9/dIwU8SM5V4C46wHd/45VfQYj/Kygq3jbkDU/SzEpkgXsNBMTuKBzbcjfWb1qOlpQWfv/kL+Knld1DLsrTIkffCh150PGdl5MNMg6dJNRo6RSXKxBaY0QMHSocFo9NyjfY8WLan+lNFrM224xkrIuRtkOFCKVtuZv9cYDYwEassm8U8owE/bmpnmYLkr7Q9GGJlti9UFOPcLG2TQ2HWyxmPICs4Dl6ZDv8uvwZf7vwrHG+9dsICA7cvCoc3AoNGxvZlpDAuGgPD2aMRarczXRZluQm8QTUsC/LaRjsLCtJnRzigsxRobEkQVLNClVne+Eigl3kqPNK3Bod8XlRAagfPujntyMidhwM9+FXnK8wGOs6NoEBhs7cZy0yTcVPRWR9ZcHA6MPiEglKZumlV7NHxrgtb/9yX4w0CVKZkAhQHf3iADew8N3J3L7ITzbYKosu6JRDC7g9+A4sM0FfOQ0uBCs4oubklI83KRhQxfVdv+qAgyTzpvGcXoc9UAmtlJw7P2YJ7fD/EbdV3oVghlTBqzRewVHePZwN8CjuccSGAjBsFlDVKbHNbc0/4OaSc6NzMNUktjYHesET0O04UzNax1Tdhwh1V6Pi3jdkvk9MigSuXY8UZUeye4AMX69ja4CR3y69iqfIJlPAdiFR0MeGebDoEBDIwIqjlhZhbdSdcwWbY/ful/dCMh1GVqiIXHAhj/52diPpjZyXp5FCXxF0v3oYWL5UlgK/Ufo8FBZySg1zDIewUIPhFBN/n8XnxNvQWfQ9NA4fR3tmGt4SXcFnZdTnPTdfzdnZPkCZGOtCAOrH0S9jSeSeWqf6Jl4JfQoC5XMVybSJQMPTSHAoB8HdK7WhEzhx7ewUO/rJLOub4BRO7KapvsMA8VQqKJ+o07LHf6x92zdDLyYCL2uCGBgWE+Gb/3tWPuUZ93m2NS6YZ8Z+1tox2yYlD4mToVFejU1GGqn17cLzoHAjhmTVWbDnsTXz2pDoNrl1kGbEGAn2fqtpCNHUF8OoqOzYf9DLyZFmBgnktnDvDhHd3urOXTKhE0FouGSzRz0zXPT1fl83mW8RPO56HI+qDUEul0xBkvsyLDYWSw5gp+auiBoUw7ul6LSUoIMT//ZZzN+pVJTjb+NEwGk+9fpXTGDEmzdNDGRMISQs+Csu4A1DqkicnERs7foh3m7+EI9Zn2ao6H7giUWx3e9EWCOblgeB2tsPXsx19Wx/G3gN/HSazrODJTzl1sKP5WxXKoTwoctC5NSjpqEbj5tm45A9fw6j3puG5/idSty/Todp0Lhprr5ZaxzJd8TygKlNAPk6V16JeJ+OZBkG6zdF5oRL0JUVSHdJ7ZOQa7EMh0/MYdetgyya1e9Z9rhjTHxmFyffWoOq+Cvzh8xHsmSDtfayszxCCCisCn4WwdzrU6xZAKLBLqn6ZUuCTNMOIohQI1JovZI+hQUHcpZBNkGk2e9CzB4e8UiljnH4ypppmSfsYorJD6huUnBKXmz+d+H2d7Z28z1HXS/ZhpMtkmNVjMKfqTtToRuFa1b2YIPsACsRaITkgnGuZxFNAMHjVk4DUlAdqUX29hbUmauuUKFlixKR7qlP0FCg4vK2mHHNi5YDkrpMypQI/qqvAxizSuQT629osWYehIBnjYhPxE/J4sSiiQ10lsRKPA+19Qfz47+3YmhQUEPa1+vHzf3Rgb+vIg+PNBz34yeMd2HRACgoIvfYw826459+d8AVzsDdEHqPEKsyfI4NMLnVHpXkRUN0DFKQ/v1yslMCCAnqtXIR9cVPWjz370gKoRmB+td5zGB4hmBIUDN2H1xw78FHhdMbgvwB0AV782WK88Jc0WQMuCrkyhIbz3077XionHLW/CGewCdPLvwc+A+nQF43i8e4BrHO4s9C3UiETwwiUO+FyidA7SAiEBoxUBRwFfwQ81wtBJCk86bMFqrdqFdD7shvBizH3RT6mcz/z7fOxqvifsJdYUSAf7nlQc2MxPEeCUkpfGDLgqzhJClguY1oE1HaYCfSXcpUSnyorwv1t3TjgC7AAgQ6Lzg29/+vVZaiL98GfgPC79saiYdoP8ZUryRe/0OMChXbphpXCAR6XP62CyXllQtqYMgaDapGxfD7HMXvf+q9Qmn1kIMJippltr3vnYBBrkIiE2TBRNxUyTs5KTj3BTgSifqjzcMATwyLs27woOjOz3zUFNTMqfoBQ1IWzoi4oeCPcggYhUYT3DBvs6zxZ2wcK5uqHqUSWX1LAHtlAmhbfrClDXyiMHW4f4xCM0qiYgqYtEkUwx6TMx9oa84VeI8MdN1bh/ue7cbgzu4W4tH0R6jHpV6NUx1+3zw2HJ4pCgwwLJhrSlgcee7sfwbA4bAVPv9MV9udX+/D7r9am6IBkgzcQxR9eorEh9fn4r3taAlAqOISobTTTcfHA2MIC3DxmLJpvDOIPL/Wgyzp4HimAnzVFiU1jdqd9P8cyOkq0BQZSJm3XvDbwATkK1kiS2rSa4QS6kziceZEZiy/Pfj0MxQF/N7OGzhQY0LNtISsCQhjqfNRzjxOnA4OTDDEiMC5AxOaD3KyBdlplQpHwRGLWYiNUGh4r/23FALHBpU9H4egmjL7wTWiLsistWn070ev5EOWGBcP+GhIE3NXcxbQG8nVCII2wBvkORNQhDBgAeylQ0yEOGqLFX8eJMCj/AXfo5lhwILWSbZlRhrPXtWdszaPNBJHa9SBwAiatPRP9S3rSBgZM6veXVYys1rfShYgrCl7FoegsA8qWF0BdKt1wJFBEWgSZjpU+e6HZAKNcxrQKyL2SVCWJaEjBwFyjDsok/QKmJ5CLfZYJPNhkXTjEWnkoNrvSW7yq/MDV/wQ0vlivdYpZkDRii/IIVAUalCw2ouQ8E+T6kV+f2VbqyUqH5KSYC3JewV5HssgEv+DLKzCgY4nmIt3FQNwaehDidFvfJQVwbIgFr0OvO/Ipq1SmdaQcCUqUCiwdoo9PxMNcEPN8XTIKDHL8+IZK3PK7o8gVUzR4j8B8/hdSP1MU8cy7VryyQfoe4oKET6624oozC3HlWQWJmjd1Buxvy5wZo1NKRkmUPZhUl1+Kfe1uN8LEZM6yTdqnLEKJzPBp0RTp3hlVpsJ9t9bgYEcAbX0hKOUca3GkIOcD9zl4uFfS0BCSvnwZeHyxeBF+37sidcMc4Fh8FO7ZHdDvLIfMpUZ5gRZfv3AOTIUjn1bz/WY/Kvrh6cDgJML9QRMG/rGJMejj4PUqFH16NiPXnGhMnqfHpLk69LaH4PcKrLVQYTSi3wt0ON+BN0xGSZluNB7tzpVpAwNKYZK+O0YQFOg4J2bKVyauZCLC+6uA0U6gyZjkmMrSdE6YlH9ASBiPCsUlMMiKYLxgImQH7axNcOhdT78FUU6fknoEIo+y1lFQZeER0Kq76moLewgRkfk1JBN6AkIAC80CNrvk6BvWZiYFLReaemGUjxo0otGq2SMTlGY5W8UOfJB5VZ3mJLIDJUGocT+qYBLF2RDOkOGYuBPQetMPKHFfidKLDKi7rgrHAzJnYmTIdH9L6hjJJoccB3Ws+KPexO8kgJQXRMC5y8eEjnSjVSMmammrVRj7/XLWakmS3XRtsCsvCmjrVBj7vfK0NtfHC1I8nKLTYE8aDkIc9PwZpjzPQxJUCh4XzSnAS+vsae98ThQw3rsfDRcsgm5aqg/FS+vteHm9FBQQSOSRQD+Iv6BR8cwEidBjyy+bQa+bVJffvrf0BBP6b5kQCIko0MtYF0a64ODsKQaMKk/uWOIwrlrDHsk40zAWY1Wl+F3P22gOSdodUgZQYEEB+S0kSyvHEdWH4FzQylb704zjjykoIIzXVOJd94GMf6dMRK3SAtVHkC0gnA4MThLcG5rR+5Dk2JcMwRNE358/YFedceGJDw7owi+rSW45LGV14Q4X1WqzpSsF+MKptstxvJOjZz8ZcoQwRrYV0+RroCFafGLHgKgCOJO6j/TFOCLrBw9ZTHOfVvtRXFk8HhcWTkm8xXXHBWh6dD302zsTPf4kZRtAFXtkQqUyv5EnebLtCBzFC31/xcFQs3ScnAZF8uWwRsYjCulmNHP97LhKgnuxs3sdppZ/h5VeyBY7LHgg41SQZWj3rP1cMTMycu8PJCb9tOfPyEM7SgU5sblnaJnEby5TILZvCje8bhUm7pRhzH7Jc6GvHCjNxqeKlRScH0aB3Py+rCg514S2fw6kPa4y1aC8907XFlxdcVPWbR307EVYlCaaMlUllEmGYrng2O6DY6tPMpP6ZhlkqsFzF3ZF4drrA9FpyEwq4SCZtEImfsX0P9WxVkRvc5BdI6YZOvBKDt0v2Zn+BGlPFC00MMMkahUmbgWn4uA9HETfKifrziCNCvruqG00nwwMiRvtIc+ONKAjmG7QDZamRoirzi5kE/KG/Z7E6poCApHjUSN34CvXj4ZlSmo3QiAk4OV12dmYL3xgw9KZJijkHLRJ5zkbKJjIF3L5UDeO9PjpZyoZ52Bn0+B4o1JwuGC2GdcszF806h33/kRQQEi+lCkoyDYGUpZhoeHYiYFn6EfjSet6eKKBtOUEGicvLkj1zzmZ+J8NDGgQCHU4EHX4maiGssp84rYtCBj4Z3ZvbxLwMCxoAHeS9copHbvFsx4HotJNQ9NpprWtnE+fJiWVv1xBQblSjrO530AFF+RcBiKjCIR1wC26T6PPYmb75Re8KJKX4gzjwhQ/BCI4PtDdi9CF9dCfXYXSfi9qD/OYsknPpJ3Tbp4IdRURyJUjS4Uf9u3Cg113sxsycZycH1H5syiUKTFdNMOEMPScPUFe6vdtYxmWUMSOdtcqxtUgFGmnob7gCpg1Y4dxAcb9pBKObV70v+tGsCfE1AFDjihZUjKvAkrjl11gZpPKSGHs3Yalfz0TakpOxWq6RQNSl1YuCKRSmMf9QkENI1LygGmqlq2w4yg51wjrOje8R4PDRs/pprn4Z8dfmG5Fq/8oNtrXYm7BWRmzBf/p/lfi9znmM3MfQMoGpB/OHT40P9LHnCZJurjtH/2s1TDZcEo/To36L5fA2xRk5SXady52bGUXFzDvCMoqNf+5F9YPPINiTZzkhaCqUDCtBpG63OKzRlLJiLbb/YoD439aOSwIGYpGnQbfrinHwx29jN/CRLVim5pp0OGr1SPnfcQh4zl8/fJSnDfThDU7nOhzRGDSyXDWZANmjGlgfx+KPc0+BLLU7tnxBQTsa/Njar0W9UUhmNRhOAOpHhTJoABiekP+TP3po3VYtS3VECkZtNuN1WqUFypx+3UV6HOE0dYbZAEFZQTUeQTUcfiEEF7PQe4Tk77mZNBzs3T1GKtOL+iWD5S8HD8ovxi/6HoZfoHGW+lT4ryD5ebpWKA/8QvJTPifDAx8u7tYip96ZONQ1hWi+Ka50Iw/9i83jsDBPkRt2Rm4VF7w7eli7YYnAzSQv2F/Hm/aXkg44dEgQ8bGNGWNG3b7ckzpbug2VjnI1piINDRpZ7YvtigU0LFWxBwhhFwOfcUsGHgZGjTplQjbA0Hc20o659LW3Hole7SVA+O302qYLJG4tKvfUctHdj7pGB/rvi+taxobmLkQWrg+DJ+eOBy2PskmsuT6wIBvF3tMK/sWSvSzh7VfFczSs0fy59MmcpUKsoEmvnmPTYMqICZ02wn5BAWsdl6TfdIi22byVghQq15scmz/l5Wtrhu+Xsa4G6RyGHZGhn39lI6vbqzEot5leGfgDfbco22/ZxfN3MKzUkor/qgPf2v7Aw55JfttPRlklQyxv+bAVuxhew4ugQjY1nkQuCaEtn9Z4djiHbZvJGu8+7a2lImd0tbxrEPdF4rh7w7BSoREQnxfY9sJJpdO4ttOPueiZLZ08NddmPr72pxlCNL8+PO4Omx0edERCEHNc6yToTImw328mcQJtRr2yAe+HF1BcfiDAjydH6J3y0NYXDAVL3Vntiu/ZJ4ZWnX+QTsFEZVFCnRbw2nLBPTcZfMHSX4lZgV7jBSOiBe/7noN4eSoMQMqFQXoCA/OG2TWtMQ4ETcWLzhujYF6dQl+V3MDVrv2JQSO6mICR+M1WVxrTwL+5wID785OdP965bAJLNRqQ+ddb6HiR+dDO1FSSTtWRJ35taclcw9ONFY7Xsfrtv8kfo9HoPT/g7EvfjD+5KGUGVBlOidlG++7VuJF65NQyc6AL5JZLpW2uajACJm7Du5gS9bgoLh4EXOKzIY3Bhwp7XZxhNTAq1cBlz7LSfa+sbFLjDGCixYZWIp3JNjn2Qhn3L0vw7EN0CRCE9WQvwixdHcqpJ3a3ftHLNT+GfKk+no60GDCHeddSGlvjWdkyngJCEDp0szCOSF7BPt/3iEJ+cReH4drnx8Hf9mJ0d8uT9UwSAJNtBS4/Oz+H6H9O0dxuP8Ak+B+qPnXWMG/iHHyyVC5tOgL9WCb80O4I9IKUc7J8X+jfgC93DA86+SMZi3HJBBb2Ts2D/IVhm6LBQWxfyefE0LL3/qlRpnj6eITwNwr7Vu9KJyT+zsi0upZ5pFzCU40KgrzC0Ysih70bH6QfdGzCrbCF9VgZd/SmJtp/MRJE2YgLLBAON8JlOc53H59BX71VBfrJIiXQegnbfnzy4oxteH4yKDeaBA/63gBfbHrLheutsxFpbIALcF+yDkZUyTUZxPgigX/+/xdWOc5BE80iGKFAUuM41GpHF7mMMm1uKJwFnt8nPifCgxIrrX/0fWxEWHoH6X/9f9tA2ruu/y4oj+5Jb90WS4zoGNFWAjhTfsLWV9DwUFDjH6mU5RhWvl3EyxtQkSM4DXrs+zfKtlWBKJzIYgFwzUHqH6uVjLxlX7+Auzpezj9B7JuOBlqS6/Kuf+0Ysq0XmltAP75ReC87XLU7RdZixoRw0qXmZgA0Ei/txZffr3BwwOD7CDDnjbnW2zApNY4kg8mYqdKfuJKVnGwunksOBoplCVymLMw7XvfdkpBQbovRCC1wxBa/9GfUcOAvvdARxiKqArPvPUkfvzjH+PNN99kfzrUdBCH2JWYikJFEb5a932M1U9Iv1MjIHDGjbyOqSOEMDLF6vS7IaPvyJ9XYHCqoKFChaoiBTqt4bTyBjQ5E8tfb/0PksMua6goaWhNvR5f3+hEoUGOi+bm38pXZFTgN7fUMG0EEjgKRQRUFyuxZJoJFuPxT1+rXHvQF3HnHftVKQtZYEA/80FACOG+7jex29/Bspzx7C2VLS42T8MNlvmnpNHS/1RgEDjQO6i9nQ60GulyItg0APXoIX4DIzQ6UpQaEO5zZyaZWXQnpGyRDof8e1mLV67xTqZfgBnGRSjUDHd0JE8DryCdK44Lwah8FJ7QlYiIyXUuEaO1YXyvdhTzAyg3nAmbfw+63ES6HFzSsfCDAyaXfi3nxOgP9yEk0N5lrg/aLcDeSxW44ptk0HB8oFRgPhh5Ax+HI9ZnYlVCGhAEVnoYbbkWowouxQkFuXYfYyOTEMy+ght435V9UuUB105f9tdwgHW9B2Pnl+OBBx7AzTffzLwQtmzZgq72boTDIVY2qNGMYnyEsy3njYhwmBFDnCNHjOPT+0nZTEQQsNLmRE8wDK2MxzyTHpWqE3CMJwl0TXx5eSnu+GcnItFUbQIKCqjV75YLi+HdSE6I0gl2hQ3Y5piR9d6l7ojzZ5khH0F3B7127jg9e6RD0NnKXGqjAQdkajOMNWdDZR4uwpUO7zj3D3OYTQe6vwpkWrzr2s/S+tO0NeCJkJIDf+57B3v9Eqk0TiqMfx4JFhXK9bjQPBWnGv6nAoPwQJagIAkRet1xBAZ0UxV/7gx03RMrWSRfd7H7ofjmefk5tB0D/DG3xFww66bDop2U9m++GJkuDp7zwKh6AlGhCBGhhh2XnG/GRZIVNTYAAQAASURBVEWfgl42IWFeNLHky7Bop6DV8RYrK/CcHMW6Gag1XwSTuiHjvkSEAPb1PYIez3qYuVthFStj6cjhoGfr1MfG0E45xnAv1IGWnAtKGr5TVRHyyWMPFp0H/Z9EHLY+DQWvQ5XpXJwokOrewPv5q+KlIN6DloRgxAFH4CDb36iXtCWygNSA8zgVVGuPY+rUqexB6H3LgdYn0nczHBdo8rLIoa1Vse6CYw4OTgSiwFMGN/Z3uRMSNs/12dCoaMbnyzWoMpyRUVjs40RDhRp3fbYKz75nwzZSM5TsFTCrUYdrF1pQYZGjiQXxEg55yHgs+5jm9gto6g6gsUqTwlNw+6NMlCnf7gaCKETRt+OvcLe+SwQe6ULkeDib3oS++iyUzrgVHJ99iiM1w7w+CyJ77RuOnXjVsR0lciO+V3FR1sxBb9iJDz3ZFRJftm/F+abJkOURZHyU+J8KDMixKx/web4uG7RTK1Hxg/PQ/8RGhDsHPQoUZUYUfWYOdDMkW9mTgdKYk1zO1ykyvy7uNzAUMn6APeIoUpQOd380nMke+YJqcDu774fVL6mPTZB/iPfDV2d8vRATIToeeILt2NT5M2a0ROHK4SyvJYokSTlL4YDA2hIp80GBxbHMaE2251FpXMICqRMBMvRpf8qaqtmfD3hi5g8O0HQu9vf/Hd3uD2LFcQUMqm9AFiQOQoYBnwd4NQfBJ2YnOJanXx2TC2P701aWucgXJF2d7FI5HCIgi6LwFifM6mLWjXDMwUWxHKH+4aTKkWzDowUONMZlqge/84PhWvylYyeuMP0G0yu+e0yeJScbtaUq3HZNOTMqcvmirJtBl0QgVBiqEHZL+igRMb/pJK5USKJIz71nw4cHPEyIiIKO2Y06XH12IaqLcwf+tv3PSkEBIS52ECMQeto/gFxlRNHkz2TdhpKTIZiWKzQcUkgn7ftAxI07O1/CvTXXw5hBfGu7tzXnEsIZ9aM1OMCIh6cSTq0w5SRDO7mcCQxlg8ysgWZc6Yn5vCmVqLn3clTdvRzlt52Dql8uR839V5zUoIBQrRqFKmVtin99Muh5slim12XeRh2qlHVZtsGhVFGBenVqW96xwB44AKt/V+IWauB3YRQf/31wqRffkxvLilBxnGnYPX1/YlkK+gzKd8SVD5J17ONBQT310+vnosK4CBOKv4CFo/6MsUU04BzbbBGM2pkE9YkCqTfWf8cCXkEycEl/yJWQIkOaCyTiIXllbO38dSIoUH44F6Zf/wAylzn7UQqpFs8ZX7Mk/WvkWhmTomYL5kyjETOfkH7WfKYIo24pHv5FxcCyHKW9cH3lYRzQ/RZ7Nb+A+QxVJoWnzOABuZ5nnRfHHBTwQEgFvHwdkCI4mfSCJmE6mr3tLFj8uECBOYkJUR2fDIuY8uMQ0Gq+wqJMCQoI5oZlifugVNWb86Kjyb+ySIn2/iB++FgHPtwvBQXSfgBbDnrx4793sP3IBiHsh6PpzWxHBefRFYiGMhBPmXOlFW42BowcAkS4owGscUnGYukQEUn7IHdWOJ9uiI8a/1MZA5IitnxqFvofWZfxNfR3Tnbi4iVaQatHFQH5lbxOGD5dcivu77wDETHM+sfjoJUv6dDT33ORXm4ouQX3d/6cZZuHboMChny2kQ963B8kVPjiMskLFc+hPNqMvdH5cIpSWWecVo3lxQVM7OV44Aq2wBWUnP7Y55HlbqxLo52pKgK0BqiO/eQ5JSaXfj3lWEt0MzG++As40P93tt/xAEpMo47mEIrRFJ2KAHTQcQ6Mlu1ANM9yTzbQZN7uXIE2x5vwq/rB/58Zpq0XQ7Z7LBBRQFurZDK+xMyXVKRib4zVTiqvKYRsnArP99mwwtoPZ/TTUMGPRTs6MfG1QS5JtsGNukCqrrOwnn3P4UDalH3JUiP0YzJn4cwzdJj4q2p0v+6AfZOHEUrVVUo2KZPWAzkvkqkTdZ2oiqRV9djvljOdAhIcYi0qIgdRFkHwrLUILHlHcuKilWOoFfLL/4GyolvR97Yz4URJME3RMsJq6+P90kIzqVFdruNRda0FLY8OCt6kRfJQIQByM/luUhaFh3quFr+pc8KbpcmASgstwgQUOlcw/QvZieBWjAB7W3xMHKi9f9ByuLRAgRvPLcLMsan32YArjLc2O7Fuj5uZF5UVKnDejJloLNmBYN9W1GlbUaTshzVUCDENK4cqp7RNUiq8++kuJqI0NAYhLgPJIP/5tT785pbqjOOLf2AfxGhmm2SCKITh798LfeWctH9f6dqb1Z8gFygIXec+hEsLiFcxHLWqopzbJsnlCuXIfBU+CvxPBQYE0xIaNAUMPLUFYiA86AevVbAUv/Hs0fhvQI26HrdV3YVXbf/Gbu+2BBt2onY6lluuQZWqNuc2atUNuK3qF3hp4Cns8w8a4YzRTMCllutRl4UzMBKEosQKTr2BeE7EOPlm9qAUJdH3zh/1BOMsHC88wba0z9MwmE67TBBDcAYODxMtItfGEt1sRrb0hbsg49TQKEpwcEByeBREHh+EL8URYSaTiZbAYVvkHAScGlyvyb91a/g+RbC9+7ew+gYzLUKBA45zn4J4roCJJbei0riYPU9eECTg49zpYxlXwziNlCkYp8KPmjrQywSspIE8HNWifnXue0Bu4JkIUPlyM+PKNP6wAp3P2ZjynxCQ9odEm8hlsDSWlcgG4gI0kHlTngZOFExM+2MdHDu82HvgKYSVNkTGHYCoSV0BUtBmD+3GuKu8qLx8FNwH/Ey0SFengqokpmg5S4eBNS54jgSY1gAJHFkWGHD04d7sHQ0c7bcSmmoV03Kg80zHEQc5kHqPJFudD4csKkLTUwSRt8BV0ImCglEfaVDwy6e6hk3O5F742+e68e0ryzAnRvhr7gnizn91IhgSEkTEtt4QHn3Tigk11+HL86bA1/wGrql8Fo+2fgERgSZcPiUoIO+GC2ab8O2/tDFtgkyg7VOg0tQVxOgMVs006ecDUcgcPOz3dx1zUBCHP8v2J2qqUCo3oj/iTvs5FJTM14+BIUe748eB/7nAgGBaOg6GhaPh3daeUD7UzqgCr/zvOh2Vqhp8qfw2eKJuuKMuGGRG6PPVnY+BAoivVd4OZ8QBV9QBo8wEk/zERrgaRbG0KvVqwDtNEDV+NsnFQUqK1Ep5IoICQibZ4szgWIZhaGBAUMlNGFWwPPE7ySO3Ot5AIDKATZFlOCJIq4mhK6hXrEEUKp1YZjm29sUO5ypmfDUU8azLvr6/wqKdCrW8kHkHNHxtOGfkwfYe5vaXPGTVNAMaf+5gpeFrpTBNlVaUgZ4wAj0hFMzRofKqAgR7I2yCVVcoThrBlkCfoZhkh8+Uy5qZx4BvB0YV1LKAIp2XRcXlw0lkrNUxG2mREhVRSAFNGhQp5OxbT5coJg2O2euBmRtl0PipZ30WjsijKFrYh5obiiDTntwqL5UL/v52PwsKMk2N5JY4K5Y1uO+57pSggG0j9nN/ewCrq2biuqVLUR0NYbQ9ilc/dGHtHg/raCAZ5CXTjDhzkp4FIt40ehfp0GkNZQwMlEYiQOeG0pR5ASQ7zmwnDy4r+ZBcJL9Ztgx3dL6IkEi+K2LKe0sVJnymeLg3zamA/66ZcATgVXIYzviI8/sfEygYGGlAMBQmuZk9TgaKfQvR/6QRigPjmXohwVNhw4bFERwcZYASAczS+zEtHIFZcfyXbKFmMiN6pRcoSgda2ef3uUQonFz6Fazt/B32R+dmrbm+0GfHuYUmyI9hgGpzko12ZmoTZWA6XWvQUHhl2r87IxF86PQMm/c0eVY4on4R/o4QWh7rh3vf4JsoS1B5RQFkWhmTSKaUOqXrqRRwMiDkITTAqihkkDBC5GOYxGVRrCRzpAVmAz5wuFixKQEROPd1YNJOKYuXeDoC9K9xwdsUwPg7qlJ8Hk40KAPQMZD9+ieb5d0tfja5D7gynz8KLlZuc+LKswqhkCtRUQRct1iBujIVMzeqsCgwp1GPp9ZY4Qvkv0bPJmmsNFRAUzQBfuuB9C5LHA91wWiojJn5XNO1dWgLWjNmDbiY7kAm0PvOM6Xv6opjlLoYv665Fq/Zt+N990EWIBRYCzF1YDymG2oAowI49SoJ/7uBwWmcGgh0h9B8RwRK/3iSMEw8r+0uwLlPAv6rOBwZp8F7ngJsOdKGn4+qQtVxSMTSBEGGRxWGRehwUTtpfijS5t9rXKAZD6Xx+xBjKfVMcEWjaPIFmE7+SEAyzMzwKiyH4mAjOLcBosGNcONBQBHJWTIhtAVCaRfDztxZ/0E1t590IBpM3QpJFbf8TepaYe6EItDxtBUFc3Wo/3Ip84w4kdAqyhkHhMo9GfcVAkyqkZe9SPiJSiPZSgkFaTIQybi+1II9Hh/sEcrMSMde3glMZskeLqNoVP9qF8ouPDmBOBH+/rVqsLMoG6yuCPodYRDtKipk900gr4JyiwLPrLHi9Y0ORirkY+/TqAYQHaKHkA1KBYcpo7ILxZXMuBUd7/0E0ZAnNTjgePAKHUpmfjnr+881TcRrju0QxXSC6GDfzgxtHbb6SM11OM7Uj8V0be6SbJnChC+ULMKV/AI893AvWvYFQHdmG2x4hbdh2gIDLv18MZQn+N44HpwODE7jYwU58kmqeak3BU9kMgDnvQY0j5Zsm31RAfe2deP+MSQuMrJVNmUHmu0vo83xNsKC1PMv5zSIiLmWyDzTYfCFe9jDqKqHQpab/MjLqP+/Pw9ltJE12Pv398Dx5j7U7jwPXFCFEAoRQDkEGCCo/QgsewuhWVul3pMsFq2ZshRd1YCjADA6Evy9VHCAulwB2waPFBRk2f1ksrV9sxdNkV6Mve345MaHgo+qUHrwWrg2cOB8WggWK0KztiAyqjk27/LQyIuYtsZIQWqa/aud6deM1ACi5DJ2W8RRoJDjVw3VeLqnCx84fYhCjsnb6XIXwWdSqhSBvpXOkxIYvLnZgSdW5BcUEExaGWyuSF6rfAoC/v2uFa9sSLJqFga1CkaCueN0OZ0YFbpSVC/+NeyHX4WrdQ3ECHFEVDDWLkbB2OWQa1LVR4bCItfjtvKLcG/36wiT22SScREHDl8vW4rZunq85dzFlAqtEU/ifecaJ2KRYVyCr5oLPncUj/ysE257auaF4pkd69xw2iL4HNmrn8TS20hwOjA4jY8NpMNPhjWZRh26RYhLVn8YODxemoN6QmHs9foxWa8dUZZgW9c9sPnJnGfww+JBgUk1hhEg/ZGeBGU/3iVB3IYB7w70e7ew11IJgkh9Yy03ZOUq5JvVGIn6ne3FnbD9exvr+ZKx7EoYKvRBhV540YhgoBjaly6HKIsiPH0HI0ZmQoNGBS3PMye/FHDAqguAK54mAymRBWjJfyPphepPWXD4vp6RtfGROdFWLxMbIsvjEwEybTrwiy742xsh5wRWhhK7y6HcNRWhadvhv+IlyORKTC3/1jFpRlD5g3wgjvyuh9krJ0v/U4vo2O9VQFmYewil8teXq2vwmXIfDjs2IeBWghey960HB06AFvMQ2NwR/HNl/kGBTs1jSr0WBi2P/6zN/lqSJ6aJ/LUPB4OC48H6vR4smxVgIkvZINcUonjKTbBM+gyOdHjQ4wBsKh4GmTavyW2KthoP1n6GGRft9rWzr3iCpgLnGCeiSCGVX0mZcJlpCqwRN/b4OvCOaz/+bdvIHmaZlgkUkSWyIotI1YYVTrhskbRiYBQcHN3rx+GdPjROPzky+SPF6cDgND4SBFttcLy1D77tHYx2rG4shXJSQ87JhRZV5iG28CQtO0mnyZvR3+V6l0k1Z4IzeBhnVN/DAogO5xoWICh4A7zhDnhCHVLFXgR6xTq0RRshDMhR5XoO19VdA60s/cQ+XqtGqVIxjNwXB01TU/RaFCkVLC3v2uNnq2qyQNZUK1G00MiY7nH49nZLQQEhaXSJV0F1OIQIjIhCBc3b50MxsxfFuplZzXouKjIzBT7aQHULMGkHYHQCPh2w4SwRU46IMHQNnmNdvQo1ny6CTE8qc7nOevqDtm1wn7DA4MiDvcz5kRDnpnAxwQDFjmkwVBVi7LVTGLmVEBwIw98WYiUOdaWSnV8+hzVvwUwdpj5Uy7oWXPv97JqjNsqiRUYoDCNTK9TLtZhetAiHi7phb/FmzbZQu+SJxvu7XCP62j61xMKsksdUqjG6QoWj3cGMpYBLzjBj6yFv1nLDSECX+LPv25id8lAIMcZkfHV9pDOAP7/Wm8KZUCk45ry4aKoB7+xwY9NBDxNWIg8Isp9OVl40y3W4snA2e2QCz3HY6m3B4wNrU3ghpIb4rG0j9vg78IOK5RmDg61rXFkVQilu3fae+3RgcBqfPNAkt9/rZ4NLo1aN8jxXu+71R9H70PuDvUhUk9zaBu/mVqhRiwAyM4ypRT0wZB7Z5PLiL519uLWyJK/goM25IitRj7ID9BpKOff7tiAUTV31+EUdVoY+jQGxmrUd0pb2+Xm8d6AF36ypTKurQPv1tapS3NXciYgY7xWQQEO+XibDzRXFCLuiOPTrLniPBhM1edrNjmesqLulJCEeZHtjN6NgxB0lU/dfIhuq0A0/RoHzGNDo+l7OLo7Liwsw4A9B93cPxh4Aojwgo+oAB4w5yEE7Ro26Xxax9kNFgTxBIAw7jnE1ywFRX34zx0AojNV2F5r9QVb2mGHQYr7ZADXlqylQag3CvTdzGYgG7+i7o6C6rgghawTNj/bBSdmpITDP1qLySgtrX8yEeNdCRWZH4RErVdo3ZRbeoQuk6OwT77DYbQvnJeZNssQUFJwz3ZS4lr99VTl+8WQnczmkW46uU/oqKOF0/iwTls40MR+EfJDPPtAwsbPJhwFnGEUmqSS2/YgXr37owP42P/v8hnIV5o7X4bn37YwgmYxgWMS/37Ph+Q9sLFiJT8q9jjA+2OPB5QsKcO2i7KWGZAyE3Xhi4IMUr4M46Ld9/k6sdO7J6HvgdWUXMaKsgftY76uTgNOBwWnkhCcSxZ87+7DFnTqYTdVr8OWqUpjlmS8jMpJiQcHQpUbsdy1a2Uo3gvT1VJoMj6QRF3jX4WblBGJ95wIj6mUZimja7nGvZ46IQ18niBzeDt0Eu1iaaDuMv4JUfO9t7cYvGqowSjM85TlGq8YvG6pY98FGl9QBoOA4nG02sEnZopBj3x0d8LYEh9Xk6d/Nf+6DrJDDmoqX0LjPD7WgyDrYyjHYM8/7cjv50SrowvVydMcMDikoYM/HDtDXFET3yw6M+XYqL0BhlrNVM9kuj8iDQJDkjHPhXbsLj3T2xd/Cjo2uvWf7bPhxXSUr0zh3+3LOMBGPAPd+H5r/1IcQCSGlgWOzD87tfjTeXg7jxPzLU8cDykLoGjJ4OJDiopZH6bITzy+gCZ/LY1b+w9dqhykckiviPV+owcYDHqzf62ZkQ+o2oOAh3lLY78xvYosHFvmANA9uOq+Ifd5T71gly+XYe4/2BNHUHcx6GUSGfO3xytmL6+zMHTKu05AL77j2Zf0cev5tx66MgYHeLIO9jzIaXMaMgbno1JmOTx0a5GmckghGw/hp0wFsdQ836dnt8ePOo50IZMkfOlcPt9VNASlDQnIfS3ezbZsN+NNk1+j2etOaXz2ThIdyIcr4BsNv+05hDGxiRVolNymRD7zSn3k/qtUqfKOmDH+fUI8/NdbhsfH1uKWyhJUQqM2PFAMzTq48sP3ZvXjH8QZESp1kQdzHMg5Vce4JmFQFmSpipk0LYCvbIBvQUkGqgGySGQFXiga/orOzk/UoI0VBKJ2S+GmJ754rEsUvWjoRotE9HjHkwMB7bikoyEaSjIg48vsYj+AjALVBNt5ewYSUpCcGj0VToWCtivlwF0aKeRP0WVP9NOnOHqsbFhTEQWWFMycZ8L1rK3DHTVW49eLSFJ2Bo935yQvn25lAoPT/X9/oZ0HB0PfGA4RjqmpxYNmHfNERsuUUQ+qNuCCka52kr3eulTnMZgK9bWYuafGPEKdOiHIaIwI5i3l7tiNgJa1uDpriCdCWTjtmYx5vqBMdrncY817Oa1GmPwOFmkl4pvU/6AqnlxSlW6ArFMZ7DhfOzyDUE9jfk30kEEWoVG74SJqULIBlUlRP79g+G1h7Toa3AWgJSCvtXCgzzEeHc2VC/GckaBEmsvJB+sBAOgebKBsgilk7JVQ8zx7JsG/xSn7OmbKMpFJ4pAiyoALNYwbQuLsMsiHdG8kIU0M0EQRLZHhEaUPLwRDUMh5nGPVYUmiEaUhmh/rl8zEvcu7xoWRJah8jSRyT2uHRh/tYqj4fKIsVOYV7XhtwZBQbpOcckSg2OD2YThLLOb5O8iRybMthCR1DxCWwckP9rSfGJyUX5HoZGr9fAX9XCM5dPhaU6BvU0DeqT4jM+LDW0lY/3tvlYrV3SrMPBYtNOOCyBbmb6mny6w2TNoOIUoURQpRjokVWV766IB8/aEg63BlAVBAhy6MTQMUrcsonk7xxOvlwTzSAndO2onTDHChsWnBD7mEK+n2NfTCMPXZH3xON04HBJxBBVzu619+DsH8Ah008dhUIsNleg9oqwzzLMiwsvhw6mT7vQaPJ9iyO2l9MMPHpZ7d7LVSyAmz3U2GVRtbMA/q7dnfGwIAVInOAU/KY/odRTCc/0Btm5jV/K3NjtyK7FrqkSp8bteYL0OFcncNcOT0iojKnlSzN67TYHGmnEQuE8ljxyCJybD+jFeN3liekrZMRb7IKoIR1Ejx/bhQdbp/0fBhoD9jwmtXB0vCjNIO19AyLm7Qr6oNeP953uNnEXKCQYaHZiNETNJj6h1q49voR6A5DjApoe0Ja2aUDOSL2rcjchkfX4g63N+u3REe+3e3D2eNKoalSwN8VTv+18kDxYiP6VuTvrDiwxg3LfANMkz+akgKBeBsnS/yJEIoIuP8/PdjR5Mt+rXHAVy8pzdoFQMEvte6RWI8t6gW8asj3jYXQUgYhU+vlKY58SxqzdfVY6x6S/fSpgOYqwKUFFFE0jkm/eDgc6EVYFUbXLZtQ9PIE6PaXgoulDwR5FK457bAtPYQDAQtKlHkKiZxknA4MThBoUBT8YfBqBTj5yavQRIMudK69E+GwB6/VAE0mIe4hA48Yxevu1/G+7wN8u+rnKMnDfrnTvYYFBewYYiNs/Ce5APpBNfzsx+OIZF4xyspKIB7ozTy18hxzoSThm+Q081wbj91dmXUAaI9mGvNj8GoVZSjSTke/bzNGChPXn3PyJq6A4hj6jzU1ypyTs1/nQUjjR69OxIrL92LpSxMhcAL42KojHhS4MQHOsijePpdDR9wqMgZ6jT8q4J7WLjw0tg7y2L6Srj8jPOYwd3vJ6MGa5oHESp5+rrK5sMCkZxwTmkhNk4GO56zZvQWos+PtLIFBluRJymtEyWOCWgn3/7wTEU9SqSD2ZVFGo+p6Cysl5G3pzAHdr9o/0sDgeGEPR1jmjNaqY7VqaIYYwJHs8c6jEuky61kQwer18ycaMgZtj/a/y2rtDB4NsGoeIiG5NPh8wkDZkfoyFeR5qFsSZurIbbYAXSGHlDU4VANsHzfIc+FE7Gvi8ZNdHfj+tRUwaAeDhDhZUdCF0fepnZC5VFB1GSHyIgI1dohq6ao/Xt+GE4nTgcFxImLzwf7yLrjePQwxGAHkPAwL6lFw+VQoy058zcjZshpCyIPNJSKaYptP3JdEzKEugKgTfzjyXdzcZoZKVwpj3RLoK+eB41O/btL1b7ZJQUEm6DkHXKIlxUc+FQIKMtxcVMPu3qiHIZGJSAW7nwQR5gvJ+DgVZ5oMeLbXBk80mnaeofdeNAKfAY2CBIeyzVrpMVa+FTujizL+nZk7FR5blE+mO+1PWpmbYDpQivHQnM1sACHsndmJrho7pmyuRlVzAQSZiP4KPyx1Aey0yLHeQhLM6SVX4ml4KnsQu59A7XqF8/WwrvNkXHX7qmV4Vy/VjuMvif9c7/SgUCHHDWV0bgF/eyhn+oOyBp3PW1EwS59iOMQ+juNQp1aiNRDKuBk6svpY1oNW2pN/U43elU4MvO9G1CtAVSJHybkm1u5JNtT0M6t6YTJEsLZRmgRPdDr/RIP4Fo919TNSa/xcKTkO51tMuLbEwoI/hyeC93a681oV00ve2e7EDUssaUV2DgS6B4MCwuYJAAsKPpk0NTonF83Lf/yQcTx+WHEp7ul6Fa1HZcD28bENxTconTNq6bz/+W789NOViWuoQVWSUoaIGoPwGYcvehrVJ1b863jwyfxWTxEQ47799pfhXHlACgoIEQHutU1ov/0V1rt/ouHpWI8oJ2IbddpkEk7jAKsyihbeyuxJe7c8hK51v4IwxKaU+AT+SHZ1vrGyLVmCAgKHiujz2Nv3VxZoJIO08iN+OVvN0qWWPD4lmP3mcVA3DK+tUW38x6MqYJBLkXdS7MPK8tQK2KDN35WsSDftmEoJes6JOfI3Yp+d+n76vYTvwjLLsQUGcp0M9V8pkQ5q6CnmANkoAbvOirV5xmAv9uG9Cw/iya9+iKe/tBHtl+xC1yRXLCiIvTED6Lzt86a2+NV+thiaKuXwt3GA3CTDs8vTy8UmmNhWJ1OkJPCkVJfHfNr5Hzv2fL8dB34ZW+0n4QKLOWtsQadpcYExpUOi6moLpv2hDjMfq8ekX9ewwICCAgK5P8o0+e0XAx3KCBduoiAyvkjzX/vQ9HAvc7IcelwnEnS+f360gwV5ybsaEkXG0Xiwo4cFN3tb/SMi+vlDInpWr0n7t1XOPWxyS2QL+opGFBSolcceaNH8SrFKuliNjQcZ/havZCbHOfF/XzTXjDPG51dujaNQrsPd1dei9BAZo6U/sXS+97cFmDNkHCa5Fgv0YwbP3xDQ81M01ShXnhwJ7GPB6YzBcaDvbxsQdQfTtuKJwTBr06v+zaUndPUhhP1wKIFAjm+OygsdOqAm1mHoH9gP656nUDz1s0m7mXvwquX3o4w7ysR9hgYINDFauE40yHai0xWFSmbGaMvV8IcH0OfdBMfuIoAvQEQogAOzoEYPFLDHrG9MkpSvQ8skkdngPQQ1ahV+P7YW6x0e7PB4ERFEFgwsKTAyqdmRwKKZDL2ympEsR0pCnCj/kGVOdkYWYUCsYs+p4MV42SZMla+HnJt/zDG25QwDlAVydL1kh3OHlPKlCbl0qQklFxkx1joeB/y7h/VO0xVF6+Z6Ek+JzmYEyT1f+SJCvaTemBmk3/jb2L9Xr16NqqoqTLizCv3vuNC32onQQARyo4zpJ7TPk8Nml9oGM4EmI+okoLIOmSVZ1w7vXhmG2KEQN+Hgr7vY58ddGM8yG5i3wFqnJ6WEw8f+/dXq0hEZaVF3Bm3/0G+7EezJTY7T1qtG5AgZ7A/j4N1dCHSFEzoUdA7an7EyB8rCOSObfPLBKpsT3RmEs8SYzgcFgEN7+3OBF6NwPfk36GRRmJacl/K3zpB9MNXtyq+Ed9YkPSbUajGhVsNMmx54Ifu1mXafKECWcfjCBcXM38HtF1LaHWUyQCnnEAiltzsiInNNsZI5NVL8SkN1gV6G0gJF3nLGyXB6oujtz/5OCka2HPKmdGzcXHw22kM2tIQGUq5r+neJwoivlGZgWX9MOB0YHEe2wL8zfZsdgwCE2u0IHumHekx2+dORQGmsRNiXn6zpUIqaq2U1LBOuAa+QaqhaRQlknApRMTO7n+cELFX+ExvDy3BYmAkhdsnQRNTA78Q8xeuQcVKA0WJ/Df5wH7o9khCINnwZFDCBY73/KvhRyx7DPyTzMZCgDTHq6XGsCJJldLAZowouxRHbf+AP0wAl3Z5xwmWupvha2QH2CIhapndvPFQO9YZ5kLd/B5v5AzBOVaN6eTVjlo8UhnEaNP5AA4FsbSMi41vEJ6dby7+Lf/c/ho3u9yEkBTTlMjMmR11QQYBNKEPEG0Cor/eYzg99HtX9h9b+mx1usDguB0jAiWFCB6LFNvBWS0KBMCsEwHskyDQJzDELZyonEG9hikHH2lFbYwJHFHhQ6WgkWaI4NJVKFM7RoftVR85sQPHC/IWF6Ls68MuuRDtnig5FWMSRB3ow4a6qY7omsmG1PYN/Q9LtRFoQl5SNwLZPFCETI/DLNLA+9xQMZy4ErxwkRepkqsE7RJ5fNmRqg461NxJoIr5paRH+sWJgRAmZ8TUafPocC0aVqzF3nB5rd7uwcpsL3dYwwlGR6RTkCoDa+kPDXCMfe6uftVfeelF+ImlxhCK59562RvuWDK1MhTurrmQOi++49mIg4mFyyouM47HYOB4a/uQRUI8FpwODY0SoI78e2GC744QGBr6qYniCgEoEgtn6Yjmgaoi4miiEEXA0Q1s8kf1OWv+VxiUxC18BVEmmqYVue5qGqVohZxoAASxQvoZZ4ir0CbRi5lDEd0DDpSrJCQjGggLppgg3HIFy68ysdxDJ7Gazl6We9SP+IMKCiGq1ktW08wX5H+zvfwy9no2JMgIHBYq0MyDjFCwg0imrEIzY0evZkNViVWQ1RBFqzgf1ynOhfm8RRD6amABdm6LYt7ED9V8uSSFRRgQfutwfwOYjSWYRZvVYVBgXQZnGBpvkeYeOD0peic+UfgmXWq7DQf9eRMUIatUNUISt2NZ9N3uNggvC13IksYzST54K4/SZaYMsElaK+9CbzdlTl3Xq/KSLa2Ova3O/Ce/NB6B74jOQ9Zax80PmWOlauBLgANt6TyIwYOeB41jmgB4nCjRpUydvriSZaVr+xEP7Zk/mLERsUdn9ih1jvnVia8e2cOwgaAgi4z/StaLbgtSDqwDSweoPR1BdrcLYKjWTDM5ZUuA4RCDHm0UX4Jre5+DbuR362fHyFLBAPxZ7/bGFkMUBKENAKPNkRhXAaQ2D59IXFLBxf2rpI+N7eeC715SjqkiZUD0kUKsliRq19WXvVsqF+D68u9PNgo3po/OXIS40SJ4Q2UyhKDNRUzL83Ch5OXN0pMepjtOBwTEiEsnclpWMaDi/1+UDh/8QjoZWsfQamcgmUYGGlREsgdTAgOY1txno9zyGoMfDzIHIeriu4GIM+PdjfagFrUPWzHpwuKnos6jVjMHB/idg9e9Ctexwjr0c3EJ4wj4IRic4tx6cmGYFKVINuCBja9TL/XZWM/XG5Mpoepll1OFz5cU5SwkRwY/NHT+PqR4O3sQiwhjwbWcGQ9PLv89WC+81fzlteYHmWdIx2BNZgH6xin3+9KZeLHpPGuiTV8XSv0Uc/XMfywCoShRwBA5jW9evERHoi5ACiz7vFhyxPYdpZd+O8R7yg1FuxmzDgsF9U1Qwp0d3sAV1/F5sPzr42sKFS2BZfG7K++ls3ZVBoTETSGFwnFaNQ75AJm4i86woU0mDt92/H4LRBfdX/wh5UwMUBxqh2nhG9g8RwRQATzbhj5QGcwUFMj0HpSW3MFQcDtKhyMZnJeOoLd4TfmxGuQzW3RHg4JBEFyUSDwLcAqDAKN0fX7u0FD99vAMuXzRncCByMuwxTMJF/a8j6hpU0SQsMIzBS/at6HeFIPrUQF0ncGhUxm2RTLJeM3h//PGVHhzqyE8A6fIzCzGtYfhkfbAjgDU78ihVjQD3PteNsgIFlswwYvEUI7QZxJ2SRZ6WTNXgjU3utNwrIiNrVLIR8xdONZwmHx4j+BIfoMhRs+QEyGqPL7pNRqvzTZb6JowhZ774x8RfENPZ14eBS1sHn6fOtq5RwEAldSx0IRR1whNqxyHrv7C54w7skZmHBQUEms4eHXgcXmqFKrph5Dssj8Jz0xMQteSvIP3HwEsjacWVBSicl/4Gery7H//usyWCgvjhbXV58ZOjHYyVnQ3tzlXwhrsy8Alogt4Eu39fVq7F5sj5WBO+PsYroJIDj9pNZcxLID2kPxALPhhxYmvnr1iAMrj30k+ygN7ecy+8IQpajg0kZDWj4gcsOGiQ7UKo+UDib9qG0SmvpaHuZ/WkYTDylDal9WkiGjpQ0O9muQxfrBzMhiUmP15EZMwR+Je/DsHkyJqJIZCxUc9rJ8aVLxMK5ugZdyJb8kIIgikgkllSPhBCYk4+K7u0TnAXWoNVJQUF7AOG/JEaQz6krh7pvioxK/DrL1Rj+RlmtuLOBYGTwaq0QF5YmPJ8d58A89qzIb66EFg9NxYUpD+w8kIFPrVE6lQhdFlD2HrIlxcRki6h2Y3pszbvbHflI4syItDqvtMaxj9XWvGNh1vZvmYDBXkLFI+jXN0dIyMPHhTPfFQE3LokDKXikz21frL3/mMEr9YA45uzvEIERrdDlmevfT6weneBxGK3AlgXuyTJRoCGZvqUAg6YHgJuPAyYYjFLVAb01ABButfYuJDaG9AT6ccu/44MRCYRYTGEt+0vw6CqhVHVMOJLRijtg/ubD8B/4RuI1LYgUtGJ4PRtqPs5x9jk6dAWCGKFLb0wDd2KtnAEL/cR8zrzqNzpIkGjzCMRBVidLomBbVKPHnZcndEG7Imexf6dvDKo6OASXgKZdtB9MIBO1zsx74UMzZaigHZWwjl2UNZnTtVdmFf1Q6jaDknHpVRBV1md0GnUs+6OSozRahID20hADpG/bqhmToy0LYJBxmN5UQHuHl3NpJ2TCZ7xwDWO4JxNUgorBzr+bUXvSgdsH3oQ8Z54Rj9PLoHfKQNP7PgMlzDxAsga+sAdnayzIB8dily3g7pcMSIyYz7o2ZdlQUKn2gdEugfPuVkvx/WLi3D9YkteZDuVWgHt5MFsFhEHf/pEB460D/1cLqNZE7XtxfHqhvzMleJbfGuzM8N2Qwmvg5MBIjbe/XQnhCwRTMB2CIJ9J75Q9yiWFL8DvczDnqeAYLxhP26tfwRV/ufxScfpUsIxQkN1+kk9QEAJHKpLtb2jNp7aLmBmK7Qlk07I50XECNaLAXQlZQ/pJ/1OzX6LY1+mKgKohFjLYhngytLWSGiL6fpllssXsNm9DjeUfBGTS7+CTR0/Y3Xz5JU4TQY8p4yRGIdvSdQEEJq/gT3ir7eZSKePAo3hIOJUjgwtXrf5sNe5AksLlFhUuhD8ELvTQCR7qyjtf7xVs8Z8PgZ8MUvjGPZF56WVQs4l8MZWxzLKSGzNadzU592MccWDXSLHAlql6/h69LRLx9swdgyWlhSy1dlojQrzTHoEDwZx6LVuOHd6maAS2R6XXmCGZYE+rxS3OaZVQI9s0s815gvQ7aGQdRDBeR9CsXMK5H1lWT9DjACtf5NItZyCQ8lSI6qvL2IT+omCoVGDSfdUo+dN0j1wQfCn+X5iF13bPwZgGK+GblTmLAspK3a9kH3SKz3/xCrZ+QJRtPXmUATlgT3Nfswdl8rRmDlWh8dXZCEuiyJMEScmXX0huCT5bBJJIoJfvq2PtKpfs8PF7JppBf7urvzT//QZmw968cWLhv+NShMjMWA6FvQ7o9h22ItZjekzmZ7OjWR2ASUfxuLid7Go6F2ERQUjYMtic4C/rxNCJABefmJJpx8lTmcMjhG8TAnLuMuA6QeBC9cC45qB2m5gbCtw/jpg3h4Ujlt+3BdHOOpDm+Mt/LX1O+iK6cINJqUl0PS2K/aEJsYr6KvMHRQQ8il0RBFBUAhAp6zEvOq7UWk8hwUCcYOiatNSzKm6c9hqMdvkGRxibZwMaziSR/aVQ2t0FB4ZqMHfm18elj2g1XR28Ky9klCknYo68yWJ5wkDQmVaf4TmMTmCA06EYoIDopi7NU6g2TCGiC+K7tfs2P29Nmz/UjP2/bQd/e+5GPM9Fw4ePIhITH1yzpQp+Gx5MS5V8Qhu2YhHf/Yo/vT1x/Dh+xsRIdIadQIcDeLoQ71o+Wv/iDMI2fwgTOoGTCy5NWZ6HLsWVCH4L5Z0IPIFrdx733Ci+ZHsrZLHAnWZEnU3F0M/Q5t99OOB3hXpV64hWwQDa92s3bLyqljKPY0OBZkkFZ97YgODfCfndGZJxSYFzppsyNjzT3+4dKoMpgVnJp6iiZ24ASPRQ6BVfa9duv5XbM1i0pWF+f/WZgfrHHh6zUDCnGnBRMNJDQri2NOauZQkRlN5EnQuKUiIBwVxCNH8fFxOVZzOGBwDoiEP3O1rEXR1QmmqQ4gq9FOOxlQ2KE0swjxmOQoaLzuuz7H7D2J79z3wCz7szfHaduq353iMn/RTBEf34ajr4bw+Q0owZ4eKU0PNS6/UKIoxoeTzGF98M6JiCDJOmTBuaiy6EQcG/p5zezRpkA9DJlBNOx8PgfjEvdI3GdNtmzDDMi/xt0rjIjTZXsiad6gwnp34bWzRp1jHQKvjdTgCh6QWzDQ7sG0OMG4P0nsW0OCgDEF1hh1GxWjG48ikmUDnwKSSuADBgTD239HJNATinxl2RuE51If+NS7mxJetc2PfvkEaqlqtxte+9jW88847iEZTU/J6mQEXl16NZSWXQcbJmHaBcbKGaSkMRdgVhfdogOkUtJWLiGo41KqVKFNlb6ui825Wj0G7cyVs/n3s2iisn5lkCJ0nSA/gfTfKLzIPU0g8HnQGQ3imx4ope70wZUtLC4DnQGCYkmfLo32SUmTStaGpVbLvx3NIer2yWI6yZWaUnG86oRkPgk7No8QsR58jkjUooG6EdLjlgmIEQgJblbN6PRuupIO5+uxCXHhWKj+l3zFyYySqnBhjksBbD3lHFBfQ2SKTpydWDLD9o/e+vN6BqfUafPWSMlQVK9E1EBpRoDJSiFm2rdBX5jQZ4RU6yBSfbPLh6cBghPB0bULv5odY69+g76wIXmmArmwGlPpy6KsXQKEdJN8ca+/9tq67WXqe+hpyldboWtaYlsFgHIeu0Oak/vzsqAEgVafTgwePBcbF4Ie4NtKAL7UyJm3LfD5rw9vX/7cYEz/TvkZRYVyY8e9nmg1YmYFjkA5U33vLasWMJMoCZTE6nO8gFCXy23DTe7O6kfknJKNEP4s9CN3d/XjL6hz2zr5y4K1LgGWvSEdCZiisfEB1dGUInhv/AX3BTTDLzovxHDKdA4GdL0LTgz2SQ2EaaUjPwQDan7KyVW4cjogNXaF2KDgl6tSjUwKDxx57LONneqJuPNP1GHa7t+Ebo34EjULLbJfjgQHJT+/o8wDPuKDcPGgHHZEBu6cDD54LjDdpGOGwJIlbMBSUWRpaItk/oRPuA/6RiU/KwLImtTeeGNe59kCQEVdDgohJeSS3nGIUD7X3MFfKM416+H87IE3+QyYOkoImm+Rpf6qFTCUDr+HSlmgoK0TBjjsWQBgnaZhpE+lI5Ava7oVzzBlLAvSxWhWP+RPST0xEivvOVeVsFb5urwdefxTFZgUWTjWgyDj8O03uLMgXNGkviOkXkHvhSJCcDU3Oeuw86scDL3bjJzdUMKEkUhc8WRhTkTkQNdacBevepzL3vXI8jKPOBceP/LydSjgdGIwAAXsTejY9EAsppcxAHELYg4DtIEqmf2GYJ8GxoMO1OlGzz/fW0qlqEv37+YJ8DCbLLdidRhqZggKjzIylBZfmvT2yODarx2FD+/cRZsHB8JmgwnA2jKohTj9JGKtRY6ZBh23u/FYblDnoCJvTEPPuwO7eh+AIJLuicSjTz8OEki9KdX7PFnhCbaw0UqKbBZ2SmsGBcwu0WGGjkoAkg5SMA5MF9FWHcdXOrVC1VQCyKCJjDiM0YztUJi0KNONZ4DTWcgMOWZ8cEqRJ7Ila88WwaKewVj3PoSxpRxFsZV99rQVupQP/7v87dnlJplo6M1peh127qadkELNMZ2Bp8SWo0YyCnFegM9CO96wrsGbgLbYfe9078OfW+/DNUT+GrznIeAPP9Frxdq8DVz4OlJD+U9KJJz2bqVuBAhvw8nV+/PRoByMkZlIgJIlgSrN7DgeYdoBxshbVN1iw/2ed0uo03wtaAMKOSIwvIrIs07HaihMe7epnQQF9E0dHA9M3swaK9B/NAbvqBeYHQTiw3oFLD2TeTwrsyLCp4rJUNn8crr0+pr4oBCiIHNRv6HjKirG3V4xIBGnpTBNr3duwz8NW5/G5l/5N7XTfvbo8Jyu+vlzNHrkwqlyFYpMc/c78rLVpH+rLVRhfo4bNFcHoCjVTAcwVH+STIdzXGmD20T/7TBUefqUH7++WvpsTjX+utsLqjmL5PHPCN4IIiYd3+tB2OIyw69swi0+j2NIJLplYy/FQGipRODb/8fJUxenAYASwH2LLxPSXsCgg7OmGt3sr9JWDwiDHCiKmxT8n3ypl/8A/0cMpoZanZ/unB4dxggCNvBR7ok74GJNeqhJP0s3AtcU3sx76kUCtKMTc6l9iX99fYPMPFkFo8q01XYAGyzXZ94jj8I3qUmYSs9bmgtYbgsBz8GoVGUXRh9b44mUPCg7cwTY4g0eYAqNFO4mdH5tvL3b1PshaNyVlRgGHrU+hWDcbBmUN2pxv4Bx5BVaHP4UIlCkipkoEMb/kCUTO70DqcMlhQvHXE5NXXcFy6FU1aLW/Dpt/D5vMKc1ea76I6SgQ3Af9OUdFqrkPNNvwoO5ncEbsKaGiN+xBe1NH4vcbq76E84qXp7y/XjuGPSYZpuEPzXez929zfogtzvWYV3EWaw2lLpDJO4HS7vS0FJpA644CdYeB5sYos3H+dMw8KRm+9iAO39cjCf/E56ZnbNA3qjH6m6VMKjjQkWd6mhPRJ38PR1teYr+q5UWoM1/MskEjDRC6giEc9A2uMnfOAqZtjQkfDXktSf/S9bZzxmBYO2GXFCxk7EihAG6NK21gQMqIh+7phhA3y4qtKwgRr4CDv+zClN/VQGHKbzimyer/LivF7EYdVmxxor0/xGSB503QY9ksM1MZTAdvIIpgSIRRJ8vbVZA4JdcvseDBFzOrarItxUiBVMLQq3nccn8zCwaICJlXmyKVDTJkkyiYdLStg6Plfdz6wmGqsyEq8pBrS2GsmI6iccuh0pfiRMHpjeLpNVa09weZFXVPWwj/vLcbjv4IWCJANEEQvoSSkn4smfcYtBo3OLkGprolKBh3ZUJZ9pOMjzwwCAaDuOOOO7BixQpWD/3c5z7HHqc66OL0dm/JXl/ieHi6N5+QwCCZmEaXGXG66dYUM9yYFAqoBS+b7MYV3ZyzjEBD5BHSRkAUYcEKBal10WqeN2B80Y2o006EWZ5+9ZMPSG55VuVP4A11wR1qY0qDBZoJkMe4CrlA+3Pt1l6c9+Y+iA6JDNRTosX786uxa1LJsFLCRE36yYb0BOisFWmnQR07HnewFVu774YYSwdSaSOOfu9m9iBUyppwLf9bHIlOR68gSTmX80cxWrYDCi6VtknBxcyKH6JQOzHlmmmJNODt0E1oDgeZ+91cmR61SnMi1ZxvBXqzZx2cKtKrH2LkJOOw+A+zcMZ9VyMYCWCKMbPS5GzzAiwpugCrByQy4Ft9L2HRheclWkMnb8vkzSiBJsZ57wPyMLCx1okbSi0pKfOQPcK4ElFfbB+TdpWyB1QSMc/Wos+aoSMgzQf6pq5P/BqIDODAwONwBY9iYsmXRyQa1BNKvT4chcArVwHL/yPJatCEz5Q2OGrx5fDK1YArKR7WebIEBRjkhaQDkRgZiTSDuQF5hWQKKrJN2PMnGNgjF3Yd9eHFdbZE+p14CudMN+KyBYWs7JAL9BkUUDyxsp95ElDtnwiGNOmfNcmAymIlCzTMOhn+9GpfSgdDOhJkOmQaVkOePrSsvQfe/uHpmkioBQFHC/oPvoHquV+GZXSqv0Mm0GVDmg50LNnwwR4PZtbosPKhfgT90g4KSV/xwEAxVm3+Ib70cx00+gJwsvzFsU51fOSBwW9+8xvs2bMHTzzxBLq6uvD9738fFRUVWLZsGU5t0I2do79aFCAOcTA8VhAxzRcaFOihruK1MdGhoaCKGPl9xdHieA01povQ5nw97bZpG+TZR3savzVo2CTxvE7BjULb85hqGGQmHw8oNR9Pz+cLMSqg+77V8O3oSBlMS/p8uOalgyiy+vHOwrjnggAZwqgTV6LXo0OpXgrKPEEScHoKA74diaMsUI/HGMv1aHW+ERuJck9OKi6AifINmAip1TI9ONQXXjEsKHiksw9rHO6U1su3rHastA7gxsKW/2fvK8Akqa7vT1W79/S47uzMuru7s7hLIAkhQkiIJ8QhISEh/CBCQgIJFtydhV1g3d19x13avbvq/93XPq2zu4Rd/nvydZaZqa6uqq567757zz0Hc4qmQjdSk/UweCWHdYb3k4KCCIY3TsIQzXBwObjdLSy4OBoYnHAewaHx3ujx6WxZiPoiUNwBXPxmaBI9vrkdNV8vglQbqqd2fGgNBQWpDlMAMxpqfys3GiLt3zdpB9PB6ItW+zoUa6ejUJPIEckEdQplHOowefzbwOjdQGVDqGTUVB3iU7j6lOhthlA2RZJhopMZU9eVzdvS2FpHINI2zn4FBrli3T4bHnmnMyHR5vQIeHeLBXtOuvCbL1Ywid9smD9OjxkjtYy02G31Q6+RYspQTZSDQPf7D/7VyDwCTqdzINVbfM4uHP/wLvicoXuAVuLGqpkoL69AR1cvLE1b4HN0QAx60bjpr5DQ3wfMzOnDKLPhcAVR1+FLe7w8D3z0Zi8LClIFLhQcdbcFcXSfCuNnf36Cgv95YOByufDKK6/g3//+N0aOHMlex48fx3PPPXfOBwaUupRpS+F39CnAJmzEQ66vPCufV2VYglb7mujPVA2cG5ZGp5cnHBDQ9EgaZPF0GU+gC8XaKVBKjagzvwW/kFiL29UnKIiAfqZq96ZAOya5DyBfPRqfBezrTsC1O5YejyAyfC1Y34iDw/LRUayGFH5m8sQL9djb/meMKPw6a5vb1vxrBFnLYOwszZ6j2NZyT/ins6OUQvwBtawEVYaLEn6/xmJnQUHfTyKxJMoFPdNbCcH1U0yr+DH0o9SwHUpDzOOAgsVaOKTpJ1StOQ8CL0ASzDLAk3+GcgDkvAI+wcsCjXq+ExzLNwEuDaB25ZbFoG1I7vdIZwtzLySfh54N9rNzWeUBeGdsgGdBOvImj2brqn4FBoPVSqbUaOmjmOnUAVvmAFvYXgNRk7C+ODQWGJZOgzyMgENgHSaKgsRJIlpCyKaieJbhcAfx2Psh7lDfyY9W9M1dPry5ycyEj3KBQsZHTZEiaOn2sZbGToufCRudTTRt+Xs0KNCWjMXAuT+DVKHDoDIF5O1elE38Cpq2PIKeEyQUJqJp2z9hqJyaleNFl2LfqezqloIAuOr8CRI1fUEB175NdoyfffZ8Pf6/0zE4cuQI67cePz72QE+cOBF79+6F8GlKWp0lGGqWZikGi6zOFIHP3gJr3SpYT62E10YNhblDr6xhq9v4r4kq3UPAYQkA6rpfGlY+TMWhpdp5oWYCirRTWPqe50KDFU1V1OWQoVTKdBFO2DOtkCOnK8LqPoXjPS9ha9MvsfrU17C27g4c6XoKLuZgmBoBwYN2xxYmW9zt2pukQWBdeSSzdC0PzNtzBJOlH+I6xf+hhKdQKQRqlzzY+Vg4KOh7TwlxrzMHlQ9KtDMxueI3kEkS64rvdZszGbPCDwWOBYZid+v9qP5WHlPIC+80sknU1KfiugLWgZAOXpUbHF2ULDBOUCNvkgZ6bWwQU/piPggHc7duCIEGznofejaFAs/gmSgWkqFWrQJD7iqF95ePwbPoowy5ewF2X/+eJzKOuq4o04pcxDB+W9q/1tcAp2oz3zmULTn+EClyJh63pkaZVTOBzv1sY91+O4IZnAcpOPhol7XfnQOEps6QGuIPH23Eg6+245mPzo4nTOT2tzZtha2FTMIBdcEw1C78DQsKIo6LdIkpAKiY+k0o9CFx+IDbHH3P2ToWLluSWATcn4JS52eN/2nGoKurC3l5eZDH2XkWFBQw3oHFYoGpjz73uQbDwEVwtu+Cu3N/4tQaZs4UjrsNUlU+gl4b2nf8He5OJjsUhTJ/OEom3wmpysQGD6/5BALuHtbqqCoIMdnjQTbBOnk1Kw2Y3QfZJ2pk5XD6sw+KxOQmvgErb8QNZ7n2k3dlECAidDv3YV3nY+gIdrMxj6g/kamxybqSdVWML/1JQtaB1dwt7+BU72sJVs8KiQkjir4WXQH6WjLb41JNeFBXCzTSEBcgHuRDYPOexNkAHUJTuMRCVXhKmlJR5PLCO1AsL2TOjKlcEr2CgGZv5tUT8SI6hCoME7ajR7INo/4wh02w3WttTENAWSxD4QIDm8xJUneqbjY22VanLCfUjdmHcR/Nh0/0smxAEnjAMFqFIT8OlXTcL8RWSzNLi7E53Cl5YBwwc02IQ5Bz9Z4Lke4K5+mhKJbB1UBi/eg/RBrY/TCO10DaKMuqvJUrVyUeC0wGuAUBL3T0MKtonl3NkBrFKMkGTJKugtVfiFahJlncigNWXAXc/meagTIESqe8jE+hGxI7vuIlBia1nBYCULQkdyEkmsgP1LlgdgRh1EowqlqdkkzIhIGyEFuprGB30X5ynwooQ0BBAekNnG3MHaNjSok9J1aGfsHxqJx2B3iJjHU8EOHy4qlGvLct1DFEvy8YspxtT4FD0H/22hhFylTkS+DsCmYsNxSUnluWyeddYOB2uxOCAkLkZ5/v7JkNfVqgCLVs+k9gOfkBrCdXsEmdoMofjrwhl0FdPBZC0IeW9b+Fz0FixYmgdsbmdfegYPQt6DnwLPzOGNNXosxDwaiboatMrJEVaMayV2wVImJd/bfgDaaTYuWglpbgRM+LYXKdeFopIr08fUnkgPUj/LfrP+jbLERWQ7TolBKvWxSxp+1BzB34CKR8KGSoM7+JE70vJe2PzmV32wOYVPYLVqfnFFKIvvRRuMiJEEj7OQVS6TfwPSbIt02BtKmSWQEHhh5jrYWiJv1gTXugsKOtz+8aweGR7sdwe+mPMSJFUBA6htzAc1TV5pmZEwkD0eRKr1RYkncZdjg2RUsAETS81oGGV/fhLdsnmJu/BLdVfSfpYCjdWX5NKF3c3NwMp9MZffZG1dTgGosDL3f2skxMv4ICggj4zaHvomixgakpng7oO3PJmmD3yliWy9bTiHahGnYxDwrOjXL+OKRc7DsvVMezanLHxQV5mGvUY72lFwd714IX2lAj2Qs1F7qbZ0rfwTu+r8ELLQsa4p+bQhsHSTYlSh6wH3QnBAb6MSoUX2RAxwpr4kQdJneUX2vKuV1x0yE7E/8h5nx0/2oJvri4IJrmp2ePSgREnssFNMEfa3azUkFlkTyjuiXh5bW97D1nU2SIJn0SL/raxYUQA07seTa08teVjofaVBudhAeXK2DQSPClxQV48sOQlkPRiCvY62yCpxKeQYp5k4x498n0MtKU6J6yMJvKKuAPiNh53In2Xh/UCgkLcPJ0525T4P/0yBQKRVIAEPmZOhTOB1BwkDf4EhgHXQwh4GY/kzxyBI6mjfDZk+vjDKKAgKsT7VsfSvpT0GNGx46H2WSur5qT/LnRh5XDsMJbsbc9eR+RBmkKJBqtH6Q8BGowy+RDgPDfJxovSfm3Ll8H/k0CRin+RmdN3yYZ7ZLsD5kItdrWMyEff9CBk+Z05iKhEYZ6/qep74Nu+kBYPzqats+JRIWcI1O3T/VVfZDvnADVm6FBg8h59HdpQzWUa+bD+aX/IlCVqAEQAdljpfI+pPcHxSD+3fZn/GHgP5kiZFDwspIInSO1SJpUI5lPwUm3N0PJRoIyPvfMRoGsGD8ovwdPtj+MNn/s/lLkyVmGgXDIv4cFTXR9Il+yzCBBzbeKoR0cer7efz8mTzxp0iQWHFxZmAetRIJ3GnrCjnH9AEnC5oeGkYK5esYzsJNiYL8nDQ7esbuxr/09OOUX4xXvD+BATB1TBg8mSD/GCMlmFujEd+30F1qpBBcVFGKx6WLUm99Fk3Uf/Oy0OQzUDsTdei3W2o1YbbbBI4iQcRxmG3W4SKlBW8q7IhF9V5f07FZ9sQDaQUq0v2dhktTsOAYrUXCxAabJuankbTnsSNk2SJbKf38r9HsKDj7aZcNLazJ7hYTOFtCpeXz/nw3RR63QKMW1s02YMyb1ZOfyCth2xHFWgwI6DpokSX9BwvMYUdABUQh9v9SOGAHRQ579uJdpKpC8c2WhDE1dZ4/XEFGCFESgqkjOjseokeLQNifqDrlTZg2mLtajKi4ITIUdRx3413udcLiFkJqjADy1sovpUdyyuACSs2yydd4FBsXFxTCbzYxnIA2bdFB5gYICvT571HUugR52YsH2ha1xXQ5yHen/1r3/v9BVzMhIoCFi4bjSH+Fo1zNwB2IDhZTTYUTRV9Ht2pFW+ZBCmOpwejwdxsoHQMmnTo+93/McyMkg3RkQVYjyKKEOd56JC1VhKTqc2+AUA6A8Bz1/tH5N/ASRtaG5fO0wLB8J25rjEGm07vM0imTpa3DDOTodh4FSxAoI8ELSWAnVG1ey30bki9m/NHH6FND+98uw/uhBiMrQykolK0ZN3lVweluw0hrRrEj1CSK8ogfbbOsxAH6c6Hkl7KQYgkKaj3m623HCnXrAIHMmJZyo5knbQGBtnLmgQjEAv6x6AHWe42j2NUDGyVB5TS0ueng5C7A7bR1oWL4H88qWMPleVakcDfwJPPjKk9j1s11oaWlhBOD459HhcECr1WJJvgHzjTrs0dZDdPQjOBBDZkIEkv8l+ebmV3qZ9XSkJZHY+uQZ0LGyFwF7EJyYmKanLI6gt8E3dg8aPOX4wE4+FYnwQ4mtgYtZD8po6QZmmz208GacCagcMSj/WtSarmbGYKSzIQnf99Va4JaSAhYYKHmOraKJRNip4RF0Zrg+Apk1KVOOF/kzdezl9wtMPOsZiw1d/g7gYAeKZVKM1alxRaEJphTCUSSw899VmbMxz37cjSnDNHhtffaggCCGHQXjH7EuS4B1MVhdJPCTlzIIOZtBQUWBHAvG6zFvjA4Oj4DnP+nGC89vjf5daQiJtnnt7eg5/iGszduw9wUa8zgodKUwVE5D0fDLIZGfmYvt8ikGtpKnoHNUtYp1LUQWY1+6qxSfvGbG1lVWeMKtuIZ8KaZdrMPwRVJ4BD+UfOquhAP1Ljz4GvFOQj9HqHT084c7QvyO2y5KbL/+/y4wGD58OAsI9uzZw1YrhJ07d2L06NHgz7bR9meEoDfUN3+6EHwOuDr2QFMauj7pUKieiA7ldrgdHcxhkTQJekUb0PEQijgFBkJEaZr3kt8jrVla+jg1iuFyQKWvATta7mU6BJK4mjWlKHe5dmc8O9oPrWcj0jfEm7AGLHjJ/C5O9tmOOiqIgSDpQ5pUl5Sg7OdLWcuiYPeGGqZZw7cIf4EL7bfsgEhCBzRQCSZ0iRXMC72Er4OKc7GggKDYOIMREjghRRsZa8GQYUT9fdAtdjHPB7WslA0G7qALrgyBQUQV8qB9DTzeWIjF+SSQd2og8n4IRX/ExXm/xHtmWZxLY+jKyeHBUvnTkJDhEq9DiXZGxs9KuL4chxrVEPaK4Oabb45KId/34O9R9JdCTJk/Bffccw/eeuuttPt64403sOaTNXjgwQcwe/ZsyCQ8Shcb0PqWOTd+JpHmBirAKXiceqSDBSPKUjmKFhlQca0J7lY/GdFBVSZnegvS8e2o+7MVku5CFgyw8xEkCBZ3wHnT88xwabt3afgqpR4PdgUWYqhkO2RCLMA5Kx1HkuRVOwUD6rjaPS/jGF+g9U1z6kecB5RlMuhGpF9BBgQRD7S0Yb/DnbCLDn+A6UmQFPhSkwG3lBYwwmQER5o86LVnJrlZHEF8vMsKSw5kuHhRolR44ZMeplHQl3ugU/FnzeEwwhkgiedNB+34+9sd7Lr2dsSyeDK1CV1H30PrzschBBIVQt29J9mr++i7qJ7zM+hKRrN90rFJJBxuW1aAf6/oymrVTNfimtkmqJWp201lch5Lb8zHwmtM6OnwozNowSrpLjzqPgWhkZ5sHtO1g3BN/hSUyBK5IpkyN3QJKbtz+Yw8FBhk//8GBiqVCldccQUbsO677z50dnayAe0Pf/gDPi+QaQrhd7ZnNdrIhIAnu3/5/o6H0e7YhEMpvA46RS9buQ+lYCzFe3lwWCCvQaOvDo0QWOsjrXEoNo+sEazekzjZ+wY08mLm26CQGpGvngh/FtfASMtjCALUiiF4qOVudPs7k7ajXgKiwZH1ERe32iaohhWj+h/Xwbm1AZ4Tnej27EV39QG4a7vZAOwUddjgvwotwuDoPmkCHszvwnTZCuQpysEdH5I6KIg7CPv+AMovSZRn9gjZW5kIDm+oG4Lz8TB9NBi67ZXg/aHPC6p9KJ7zLmZc8y281rEbDZ4Aa62slhzEIMluKDgvpLwSE8ruiq5STxff+c53sGvXLhZwE4/nG9/4BgwGA6zW1FRTtYS0Ezi4BAfMVjO+8bXb8dPR92L+VXNRuFAP804n3M2+rPWmvCkaeFp9OPnn9lh9inei7S0zKm/KR+lliStOZZkE9u/+FdJTNZA0hHQoAjWnEBzQwG4ACvK6RQpN0yMIKRqCIzFJmbvs99lE2dUmVgqw7g33dcYEMSHTSzDg+yV4v8eCj3tt6A0EoJdIMC9PjyUmAythrOy1JgUF8aDff9BLapzAl8piHhFWZ26lE3OW4CECWodlEh8Sw10Nl01P/A41SgkmDtYwa+IzzRzQ26nFsaHDy0ohUVEkX4z703tqNToPhkqQSkMldOWTIJVrWQbB2rSZGdoFPFac/OiXGLz0jxg7dhwrp9CLhJwoMMgG4lWkCwriIZVxcBRY8H8tb8DvDzKFTAL91ybHcexy1ePeiqtRLjexTACd1/GWLGRILlQiuiRFduazxP+c/fCzn/2MBQZf+tKXWArzzjvvxJIl1ID3+YB+wEK4Ovae0T4kisw3icffw4KC7iwGSEfD3QLJvR4i9IpK5PlOxVVxk7ept4SkaCNlCWp5VHEKuOM6CvqCBrRQgYVnjP1jQTsLCtIVHygpSD3kI8GhWjUCKllMZpeXS6GbXQvPBCua2mKaDl5Rifd8X4dTTCw/Uex+XJgIh8+IyyTvQ4UcovA+7VyfWN7Hmz3PZ30bEQDZsB3gUPLUJCibjKHafhgSlxzqD/KhsK3Dj+9cCrPnMOvWsHnrIOGKmBBThX4hC7jORsD9n//8Bz//+c+ZoighXVAwWjcBXx/wfSh4JR5reAg7rJsRFAN45PD/oeatoehZb2Pa/aT73/WxjanyETSDFGy1LFGHVvLUXketee6IvHFkkgn/SyqH8gIpMwmKQK+sZStzf+0pBGqTi1lupK+1Eyly6EGg9hhgCs6BfrACnov8rHujLyizddDpxg6bE15RRKVCjjlGHZuYzxRULhnyk1L0bHag6yMrPO1+SDQ8CmbroJqrxb3d7Wgx+6J3u0cI4JXOXnxituGegeX4sIdMvbLjw14rLi/Mi/pRmHIkqlWX5Nb2mE2RkFbenWHr5HhdhMZOH1vlk5oi2SOfCSjzoJRzzGI5PsgKBmKBOQsKOB7lE7+CwuGXJ3RuBby3oX7dH2Fv28M4CXVr78fw4U9j2eTYMzWkXJnVNpqsqHOBKIr4Z8dH8IuxoCAC+plKCv9qWYvRjXOY3TRxCrKBrnMu233uAwMaxO6//372+jxCUzYJqqIxyS2NDEQKk5LiSUbLTk3x2IyfcbL3VfbvqSxsBi68jSm6VWhZNzj/JqaqGJrwI7LAQCQ5SxN7PB0mwlWgVkDqVTieRQeB1oIyXo0JZT/DA20PZbWBouCgAyKWyVOvFqn10SIUoU0IrezNYiGcooGxCZI/n0erOBjvBQows6IOJXUDwadTBOQB7ZBYPZjaAV/t/m/GYw29jYeOV6NEcEK3uxzKRmOSBTOBfufZ1Ab3wnaYRo6AKUcuAYHS8kTkIzMiunx0nAVzdFGVwXi4Gr2wbffjJzPuxmXjrsZdf/8BnK5Y54GRM2GQehim583FOMOU6Pu+VX0Xfn30e2jy1MPs78GWnnWYwy9G49PdGPbLclTckM86Dng5l6TjTx4PzuMZzJ84oPUNM0zTtdFaLc9JmX/E8Z4XUr5FzZpCk5HXA1zzLKANJwk4FMBeB+z7sAEDbi1kAUsEtkAQ9ze0MuJn5ErR3ft8Rw9uLy9izp1nCiqLFMzSsVc8/trYzjwZUgmH9foD+HtzBysZ5AJ6zzabk3E/CIMrlFnNjPL1UuaXsHafDfvr3CknQ/oq8vUS9FipvJX58zVhVUPyWHjmo26sJ12E8BwmPwszB6X4VXIea/fZE9L9fUsGJaOvR9GIEFcoHtSeOHDeL3Hk3Tvhs7fB7+rCqb1Euv5WdBtqbTzSlF5TheALMU+z4oS3A83+9NlcIcDh+KpKnDCbcy610PUsSuNt8Vni3O2XOE9BEW3ptB+h5+CLsNV/FJVI5ngZ9APmQ1k0Ch1bqRk69Z1DLYvZNLddYcIhKQ1ke7gdPKkDUm2Tpn16ACTMvyB+mxPhV+RxpDXHoPCr73RHv6OQgqadVBP+EE6NSaarUa6fy1aH9ix6CPH4wPohqlSjME4bMhiKDPTPWyaiKXhlYt42xWeXNwATtwLVJ4mZfyNs+V3pg4LwIFm0MDTwCqKAt3uSWylTwSDNw02G5WjpeQb6bVmULnkOto+PQT0yHeMjGY6THhz7QytT0ot8Ab1bHWh+qQeDf1QKw+hQToZW82TZbNntYkEOnY/dEYwGBdXV1Xjj32/jwE9S616Q8+KCguV4uvkR9vMh+17MyV8M2wE3PO0+KEvkUBSmvhctu1whcki6zDUJvzT54DcHmSVxBNXGS+H2d6PZtirpLTregmKuHp1iVTTokwSAq58LeRUkuEuEx/KGJ7qgLJHBMEbNVnQUFNS5Q3dy/KGRbgFNzI+2dGCgSollJgOmGbRZW/NyhdkfwFabI231hX5/JM7EKSNoyOgCDtlcGDFYxdr46DhvXVqIB14OdUWkeu5vXVIQ2m5ZEX71VBOcbiEhOKDVKTHg77y8BG9vtmD3ifTlAJqoZ47UwuMT8JtnWphKYvy2vtNvCknAiu3Jma34Li+JXIviUdemfb9EpkLxyKuZSiLB3rIVDvftjCRJbY2Th2pRXSxHfUf6dvjXNpixcLwhq5ZDiy9LifdoNdBLC5bcQeZX04fn1pXyv8SFwOBTAN3YhWO+iPzh18JjCaVMFcaB0S4GfvqP0bXnCQTcsf5YiUKP/JFfgH4ACR9nhpwPs8BzOBZBcCGQML0H0WZfBymvgYAgdoRJiPGgYZU8EWlKJwpk/LvpkZ0NEc3KETjoORLtqVdzKiwxXY7FRkr3xd6hkxjQk8LSORVohb3K8nY0MPAJAu6ta0FzMJJJiD+SxAF9zE5g0YqIA16obdPQFavRCnwQfJhvwP4bPGq+XRJttSOmvy2HIGaWfhGuKbiFzYntva9AalalzBbEPliEvz1XWSmw1kNy24uk8ONHGZLNPfanNox+oAqKYimOP9QWyiiwP4Y2bfbEiFvDq0eAk2ae+IoVsYDF4o8RpcgOmgKDdBADITPqbIMgbdc3cB5RdBvyVSOxt+MvSdtPka3Ae76vhd4LHoOOAPrUiYQQeKDtHTMLDKh8QJmCTCBNnhMuD/7m8mC33YlvVhSfUXBAdsrtH1hhOeLGV0Xg1GBg92SgJw3RfIBSjkZPclaBgb7yAyHyDa04t8CJLaudGFqhxDcvK8aEwRr85PpSPLWyGx1xaf4ioxRfWlyIiUNCzPySPBnu+0olXl3Xi40H7azNj06RuAFXzzaxcsM1Ug57TzkZFSrV6pYmrPtfaoNBw7PywdlAxGkx22qal8XIm9ri0eClmcsjutKYZGdb41F89aG6aCBE16S5O/PxUxC0/oA9ZRdGPNJ1HsRWWMTS6t+9RMFeLl4V/2tcCAw+RdANri6MGetEoCmZAPXScfD0HIHf1Q2JwsC2y6bxHQHZznY4t7CugxNZSgm0DQ1DtGaMTM/5EDBAcMDCKdES12bXFxQwVIadHeNBj+kVhkW4ueS7aPM1Q8bLUakYCCmXfPwz9Avwbu/LWcsJBNqm2dKIxu2d6P3EBW9vABepgINjeTbY9jW2iU81L1wR+u94FV2a/CPoLWmHrtcEkRfQNOwoSi4yIn90jLjozpHlXqmojqoLDi34IuzKw5B4MgwYtErT5a7R0fWJNRQUpHHiE4MiOlZakD9dB9t+d0oHxb+MfArmYA8KTHlsNS0vlMLH+r2TBy0qIUSgkMQG5F7/AUjc+TAoB6d0MVRXK7J6ipH5kzSNsZAhrqsiHoV8C5bL/4NN/svQK5ah+mQWu2MB7DrQddluc2ZMYsS9hWG91YHhGhVTRDwdtLzay14R4iXdnqP2hl7vXQEcT1E5mqjVsMAgCXR+FKWnkEkgAtvdTzfjj7dVYvwgDcbVqnGi1QuzPcCUDweVK5OCG+rz/+alxfjKskK2eibSYLyT4sBSJX52QxkefquDdTPQJJqYERDRYwugJ1NQlgPoqC6aYsCAYjkaO/042uTGyTZvxuBAqtAndCVkg0wd4yV53bEDpvPZeSw3kuS+k66sgcEYdRVknIRxDJIQkACe3GWty/NluH5ePqYMO/eyBYQLgcFnBFo5qQpGoD/CrpQqPeb2YJu1EI3BGyET6wDJHoBLPbnTMEBDHtHR4jN/VHE7TARE0ZOVo1CXIjCI2CrrpAb2yoS5hsWsdm8OdKd1B4xA4VTjon9/De00GpEWOq0YHMDkTcDIPcBLXwasKZ5dyhZQkoBLlxblgvBonHj3jn+Gz4vDVfmJPfCFstz83OO3qzAsQMMsO3zv9SQQDxMgghEoc4V5hzPzMlwIOfExpJgFJZwE+fJC5BM1klaeARHlV5pQ91iySyFhuyVma1yhDPWMi1I/6vMeRV2Lh0lwjyq+A3pFDQJ2ck4UITVIYJqqQcNTfMhNMd1194jY/8NGVN9WCOO4xD5zssA2KofC4iH6bOIOivhmXKF4BD1CCQYqvstaUbOBVr4kRd0f0DdGHQSnExhQVwILCghColw3nc3yN4HHywGHIfHzFuYbUK6U45HmjsSzoix1Gu0kmthItphkgG9eWMACtcHluQWbpGZYaEi9Ih1ZrcY/7qzGtjVHsG9nA1Z7a2JSmWcBlMn49c3lCa14X33wZNaMAXUfREAdCtfNMeHldRna/uK8kKm0EI9cOyeONnsQCAqQstbo1FDzclxiHI83zCn8GOiLz2haHuoEoazNDfPyUZYv65dt+P8a514O4wJSwhkM4t66Vtx9qgUf9FhxyD8SuwIXw+z9KQLBZLKiHFJMAoedaaTdhRw5CslNYRw0sgroFblNdmqJFj+suAfDVNmdGqe9ewn0vflJB0WrRXL9uyjUJJGE0pYMK0r2fgkKmgbC6b8I3uAYCCKPIXEWyYRieRlqlUMTsgzxoGDCJC3AEFXi+8ovWQKpTpX6SeI5yCuM0E5NbIc8U5c90S9mnJBjGxKJUUTBfB34JdSjQgEUkc5C/zvmOIS9tu0J2QaRE+CdvA2iKhRsOn1t2PPOm9j7o1PY/fU67L69HnvvbEDnRzYM+m4xI+JlGkV83QEcu78N1v3JGZlBpusyHDyHMcYRGDA8S9cGMdvLZUxjoFJJwla5g5VevH5Wsuov2ldY0p43K2SJwJjdsd/RpjMMWuTLpJhp1OGfwwbisgIj8iOdEpTSy1yRwuo9Z7h8T4Gu116B56XH0dVD2SeKxvs3WdHWshQ+DYROSwDfeaQBK6jrIOzx4PBkv79VJgpQQvDb6nHlrDzUlMjTXp6Q420IMnWsfNgfUIbkjr+ewsoV7+DUu7fhxBs3ov7DO2E+9jaEQGzhda1pCpYZRkfbvknDgP4lvY6SAX6WeUkHus1I7bC8QH5OBwWECxmD8wCUKXiosR1HXKHUcSw+JgFbCWz+azBVpgYnaYJaXoKh6jEoCdrwIZkVneFnJybJ6RGgGvHXst7YHsGD4+5D8Aoe5p4407AAk3Uz8WznowimOCqVXYsBB0alJQvSxF/WAhS2A13RFEYoQg9KssXqQFAihTc4Dd6gBF7OA0egOMmW8obC2/B/zb+GX/QlZDfonOnMbym6HXwfoyupUYXye5aj7aFP4G+myYIUVkLSZqTFUPzdeeBkkpy/Z1UNDzcpRAmZnfhISChbYECthVItCdJwkBfwcCs84LxKFhQ4Ajb8q+H/oiWecYbJqFYPgm/EAXiWroyt3j5cDOWG2aArErnCNNk3/rcbphlajPhdOdreNqN3UxrfifAX0/hMN0bdX5lw35AvxtjiH+DwphWQbZgESXsJKR4hUNEM/YIghtVcBmEOj+YXe1kwlG7/VBYiUEviCx3diNAaFB5A5gXcGiCYYaQ7HY4BdWVkikLofi1vjMk7DFEr8dWyGPFAL5XgppIC9iKC7V8OtOOQmFk/gwyPBDJ/Os1Jpa7di1U7LTjZ6gXFIzKfE3WdI+CtOj3fCQJd6mWT9ayzwBZWBew7GZK3AxEB23O0ZdYUDIVUaUTAY4Gjpx7Pv7sbHRZj2tvd1hILbrXFJN92erC5RTyxaziuLd+PsYZ9CLi60HPwBdibN6F89q8ZR4yu/ZcL52C5cRw22I/BGnTBJNVitm4IupQS/Oa/LSmzsDQsELdjZHX/zb8+C1wIDM4DnHB7GbEqNWjaIve/q3H3gFi7H0kLt4fbGs8E8Q2ElPodWvAFGJTUmxCbzLY5NmCNZQWavPVsCs2XFaE30JVVDCl2BhxMbaUZOwjYZ1FZozU+MOBweYER5ZOD4JrsaSfKIA+cHEyPa1h8SFTiD/Wt+OOgSpQpYgS7ckUVflL5e7zV8zz2O3dFJ83BquG4PP8GDFTGOAnxkJcZUPXAFfAc6YDnWCdjWalHl0ExILk+2uzx4SOzFQ1uLxQ8j8l6DVtJ9jrXod78DjwjROjWxNqtkkDtTUsNUA9QsC6FtKMlTx0XeubM2L3OBs/zdOyhjT1BNx46+Vvme0FQS9W4ftl02Oc9imBlUzTCkjRVsKAgcq37oneTA1I1D8N4TfrAINKh0Ohjoknqylg05rcE0PXHYqjrb0roOJEfMsJzCGg8bEb1VwtZZoI0EyLnHz0cEawdsnBBqCatk0rwjfJivLGpA9PXAwNCHDT4ZCHnyC2zAU+cijndbcM0KkizTLSCT0DvFgdzjiQyJzleZgOdjVLKYZJejTlGPSboQpNKKlCQUGGU4wjvzqjSR6qDpxsUvLXJjBdW97B0duwzpJR7x+mCZQukHN7ZYs263atre1IGDim35yXIGzgPXYdDKcK/PnQ/ahf9LuU9SOJGHYdiqURTzfx+n0fikYp4v305RukPQMKFygM+WyMLEIrG3Rbdskimx1WmRHVaUwXw3atK8I+3OlgGIlKVoJbEmlIFfnJd2Vnrgvm0cSEwOA+wzebISKqi2/ewy8PKDRpJaPKjzAHPqQHRlXVSpv+lqv/TfU2VPZu8FgXaqdjqOYBPup5AsawUM/ULMEg5HM92PYot9rVsHzSR0n46/MnOkpmgh4gJqlB9O/Ox0so/8XfOoICJywqwb4WT9f73PY3IdLN7SuLvqH2N6svxqzhCqbycOSfagzZYA2ZoJToYpdkJULQSVg0vYa90eLvLzPrpI6tIOp89DhdebG/GEumrMPA9zNfZvXglVKuWsLQ+GT9FT14EipcbGAM/YszT+FR3cvcmSfOWyFB6eR6EgIjGZ0MEQ/qOnAEHHjx1D064joR/x+PrQ74F7Rc+QVCSePEUW6cw6eJM6pFUUpBlshSOg98SDLFZ6XCDIo7c18oChtgJJoIElrydflR+oQCj/lCJtnfNMG93Mt6EukqB4mUG5M/SseAnglEnOCieTawty/3AuB1AzXHghVtDGQQCne2lBZlLFdZ9Lpz4azvzR6B0MVPre8sMiZb6Q4kNmvp9NP6Pn2rCxVV5OdsNkyhOOtApkqfA6YBUCikoICQGHmc2SSnkHHw5WC/TFq29/etvLBl9Hcx1a1jWwNq6B3UbHkTVtG+Dl8a4FX63GadW38u2IegrpkBTOAxnBg7OoBYnHIMwVBeWjxMF2BvWoGDkTYxQToshIoSu3mNHh9kHnVrClBapa2TqMC1GD1RjwwE7Gju9jOMxaYgGwypj3gvnAy4EBucgaLVPoj4OXzPzKjB7FlKyPev7vIIITdwYPkw7GZvtazMsKnlWM+8NdKPT38Z+jg8QhDAfqs13Eug9GZ38m7312O7YiFrlMJz0hCaYXLoOUoEeFeJnSYrXgVPMg+hN//AQO71xYOLvNljt+Gp5ETPvOfrH1qjBDcvmE9OaB96/Mrl9jLbaZHEkBQYR6CR69joboPTvOouNBQWRz44cI8EhSPGh/8u4Rv5n8FTjn7sOwZJ2KDbMgrS+mp2Io0KCtrkyWKbJUCSIUEk4lCwzQm6UouW1XqYZQCAxooJ5elRcZ2JiSFTbD4TdF6kD4YETv2aCRpGg4KtV38FExTy41/vgH3kIQmGshZbvKMksKR0/4eeAeD0DJrscDQrSgzoODv60CXmTNai9sxi13+IzruxPPdLJLjCfIrWvtwKL3wPevTZ0L91Sko/xuvTmO64GL479qTXafRFPRs/I8SDahZyLmkvlgtoyJWaN1GLjQUfKNDR1H5CnwOng3S2WpK6DM0HEaIhElD4tSJUGDJj5Azbxi4If5lOrYWvZCWPVDMg1hfA5OmBp2IigPxSUUumhatqdZ+3zbYE+qqqCHz5HK+SGGjz2fifW7LVHsy90bbcecaK2VIGf31TGOkCIS3A+40JgcI6hzvwOjvc8F+eOyCEQIH1CskFOP2mqeZ6lJOMx13gRNtnXpn0PBQFL8i5jwcER936ssXyAA644xlQfRCb/SPAQCQrOBGKYdzVaHoBk9ikEPq5NOeDSQH50BODoM9aS+x1NvGRhO+7hapY2p8nwuMODo6UCSyGna3NMxWIPiiL8gggFz51xhE/HtaLHyjITPRkU70jK2SHmoVEYhmoJuV8AgaHH0DrYhZXeL8IvqsAx1rMXQrsXL3b24scDSlmrnWmaFnlTNfD1BCB4RabLIFHGpkV/WCmv3nUSD536TbQ9UQIJvjrge5hlWsB+Vn20hL0ClY1wX/oOgmVtEOVkG016BVmuQ7YJhwu1N6rKY2UbSs3nJIQQ161x6tFODLozfUaG9skm7DSg4GDQMeCOf3Eo+3ohagoyT9ytb5tDliepjjH+Y+J9zMNBAckmk3dCf0BaBXl6KT7cbk2QGx41UIWvX1wEg0Z6Wvfg4abUlsGnC9rXwXr3WQ02UkFfPhGDFv0W9Rsfgt/ZhaDXhp7jyXbyyryBqJ3/65xaG3OFTpqCds1L8dZmMwsKCJHhI3INiMNBng93XV+G8x0XAoNzCB2ObSwoIMQsk0UMkuzB9sAyZiCTKjigcWmhSZ9UK6Wee2rLe73n2YRsQGTlP1+3AMPUIYbtcNUYvNz1JD4L0HNFno2KhR+j2jkWvZsd0cE20sPeXAV8dHHye41SSbRuR2S74mVG9trc1oUdPdYM/DARct6KF7ueYGURQSzFW11mbLU6WMlGJ+Gx2GTAJQVGqMPlmf4OyH9pameytrmADKCahcHRwMAlavGh78vwc3K2RIsff92CgD/Wt+LBwVUokIfanhQFybViKiN0fWLDLusWPFL/ACOCEuScAt8a+BNMMJB9VSIkzRXQ/vtrsH/9MfhHHYS0IfeOikyovCVkjhVBWq2GdCDXvY0OeK5L7Y9AcLf4Qun+LAkMeY+Inj91ovBuGXRDUmfiKF1s3urIbiQ1UcOCMftRD/ts43gNM6KiTE5/QaqEX1hQgKtmmnC40Y1AUMSAYgWKz0QyNwdBodPBpxkQxENbMgYjLn8UPSdWwdK4CR5rIwIeG2tLpO6FvOo5MNUuAn8GXIlEUDbOjUEaUoiJQaLMA6+pwHtbYgJiqa7J7hMutPb4UJZ/ZsZonzUuBAbnEOrMRKJJXkbJOS9myd7AWv+14Sk9zgqWCIIKOa4sTB0tL8q7BBWKAVjZ+waOeUi9QISJgg1K4ds/wfZAB8YU3wmH6EenP7Om+KcJYiW8F2zBT28XUby0HF1rbLB1+LCX9+LwGKA+3GIdD/pxUZoe9IV5BrZazwSOX4cN1h34uPc4nP5b2dWMzAP2oIA3u8xsYv9NTXmUu5ErNlsdOQcFEcR7PxwNTkaA6Uym8oMgBT+RWfTeWJI44caj5aUevL72FTzT/Fg00NRJ9fhBzd0YpEldiyVOgxiQQPXBMjhvfAHq9QsAO3FVsh+/okQKb3uKzIgIWHe6YBgRR9qTh4KdfuVkOMC83YHSS1LX7SlTkuskSJmA5hd6MPzu1P4cFFyI2criYfuRAV8+vRa5dCAlPKpXnw3wPMdS3KfaM4sKncsg5cPCYZew16eL0B25rOgDSMO24BHkDbkM9R1+OIjHlAF0P5PB1PkeGFzQMThH4A86YPOSfHLqp7dWsg8XyZ5CtSw22Wl4npGn7qmpgDqDMMcg5WBMCFpwObH4maRxSBGRYHEfxvaW38Ar9G8S+zRALXFEZtQNU6Hm9mKMu7sS4m0G1NcmzyB0tqUKGZaHTWb6okIpx9WFoQkkefIRIOXqoJDsRJDq9/7r2bTZ95Gnn8kU56WO9OIqmdzxuH4GBYUc9SmG0BAcntIkKv7YiJSaDkTEfOyJx/Df5n9Fg4ISRRnuHvJg2qAgAk6UQHZyECrfvwfFs0shy8ttmEgZFITR/p4F9mOxmnRvk6/f1DfqFKVySTrkTdFmXuHHg0SDDnvg7fandVGMyGWnPyBAVXbuTwBkJJRzUHC+Rg9nARqpF1eWvY6Jpj2hX4Rbkw21F8FQswxCDmkSSl5mc648H3AhY3COQMi6PAHKJPWYqNsOlWIUs/gsVpYiX5WftRbeZl8PV5pOAZo0XP42+NyHoeLVOUsDfxqgbAbxFtp9LSiRl7Pffam0AIVyKd7qssAWDEXxtHYnkZhbSgoypvmvLc5HiUKOt7p6mZANgeyfFJKtUEnXgeOC8AVHQsxg90vP+BqzDTcV50OZIfhK1ZaY+xArQAYfaiUxu+5gDpbRvgyD+ON/eQIvNz8d/blWPRQ/rL07q1JlPOy7g7DvtrLxUVkmhac1zT3Kg+klMNOnDPoLnausLHXv6fCBb82tlbXvKj6ep9AX9DciKWZVj4yD3xpMWYYhFC81oOmFDC2hIvpFMPysMH2EFsdaPPhguzUlL4CNHiS/IYZ67cfn2fHmYVkoM3keMemJDEjoj14VnZ1UwuGOy4owaYgavm4f7M1qCD4HXJJKSItnQldWxcZYMrMiGhd5T6QDXdvastylkc9VXAgMzhHIJXrIJUb4Mhj5EAWx1b4OCBMKyctAIyvDqOJvwaBMr0TYaktPQIyg2boSs/WLmYnR6XYYnC20+pqigQE9kBcX5GFpvpH1/lMKvVwhZz3ruWC2UYdZBi1e7HoN6yyrIcDDhI4s3h+EAwKaoGgk4TNOwF1+PyoluT/wRF7MpW2bPpVEk5Yp3mXBAWmpEQq4FthEKvpI0r6vVpX6eHbs2IG/PP1Q9OcR2rH4fs2voZTk7tnAIMYmZAoKlGUyeGhCj1S7wv+qKuTMnjnjal0AHMc8OHR3MxxUj+/fkbAP4uQcjJMyp9hrvlWMkw+3w7IztwBXnpd+CKR2yN5tDjhPehODg/B5V96UD0XRuWeZ2xf0DH1pcQHzWPhwhxWn2rxMrXDyMA3GVKvQZg4wTsWQChWqVU48fd8HgHHeaQUF1D1B3gu5H9vZSVJcOs3IjJ9cXgF7Tzpzao9kbpMSDj+9vpTJQxNkJRNwwjUMr6ztYX4UpBsrldRheJUSDreQMSig/ZHUMZlene+4EBicQ94JVYalONH7cg5CxTE4/e3Y0fJbTK28D9rwZNoXvmB2KVXKGszWTMIJzxHUeY6dcXBArorXF9wKr+iFT/BCzsnZvjfb12R9r4xLHmyJWFmrPr0HjpHzeC/LENi934QAfVwgQJNr9nOV9XOQnG7QYkWPOUM5QIQUfkzUuHFd2WiUyn+ETucOmN2H2CB9CV+Fv7ZLIPUBww8AA48D0gDQWQrsGw/Y8oAlKfgVPp8PP/nJTxAM68dXqQbi+zW/6n9Q0Bd8qN2w7Io8Rmj09gQgy5PAM00Jx2QF5L/tSaWfnQBvRwDeztPz62VxSE07eGlMXCsdz2DIj8tgO+LCkd+2Zsxg6EeoElookzaR85D9MB+HX2jHwG0ClGFl3O4iQHaxFpPClt3nA+gZGFdLBkzJgdX4uP/ueeMd7NWMSuAx5YqhlQrcfUsF7vx7AzNgynpM5FYabtE8XTIjTcZ6jQTXzDHB6xPww0cbYY84k/YBCZCSngAFDSTMNHmoBosnGFBkjI03pD/w97c6EmIiIoFma82k41AreXz/6tLzSq8gHS4EBucQqvMuRa/7EHrd+/v8Jb4fqi9IJtWPU72vY0xJ6j5epawQ7kBqE514NFvfx3fLfoENto+xovd1OIQsI30GzDcswwRdIut9nHYKdjg2ZlREpACiRFaBFb1vsLICtW0OVY3EdP08aCSn70RWrayF3Z8HAboU2YHMD3KpXIZief9WhsvyjVjZ00XrjaTPow4EFRy4WvFXlMiHoVwxkf2+RDuNvSJob+mE4R82aMKZcdpLVT0waTPQda0Ko0YlK/C9/vrraGmJGWnXaIbg4+73czpmk7wA0/PmpncxPOBmbXj5s3V4u9vCyJluwQt0ALMGA5O6M3tWMJxuvMmJcJcegs1TBr0ypqWfDvphalTdXMCkm5P3BebxUPmF9MRNQp3bg3tb2xCYI4KbCWhtTLEZQw8DY19xYMcTDvAKjokslV5iDMlUn+dw7d8DNz/otLIFC8cZWIfQtXNM+Ne7nVknUpqYyQGSVvk7j7v6ZdscKYmQ1PIvv1DO6vo/f7I5bVBA8AcBi0PAb75UjgJ98vPs9gr49/uh4+5PFkMl57B4ogHLJhth0n0+ptTPx1l8TsBzUkwouwvNtk/QZPkQTn8rJJwcKmkRHH4ipolpeQIdji0ICt+AhE8enCr0C2F2H8z6+Z2OraxDYb7xItbe+HL3U6eVOdBLjFhgTO4tVEnUmG+4CCstb6d97yj1BNzb9CMExUD0sw+59uC93ldxR9ldTJ74dFAiGwu/QNew/wPeYpME7/S+jA5fK5S8CuO1UzFCPTbJNyEeRXIZlsufw4e+6+CFhgUDBCoN6DgLlsiehozzpeWWkFhP9b+c8IcXKpGjjky8xS+7YRvqgn5kYnDwxhtvJPy8pvvDnM9ziGZE+sAgclwBEa/0mvFWN9kBxrBnYkhdUOpPERz0Q68gLUQOvvF70e7Q5BQYEEqWG5mmQPPLvVGRJ4K6So7qrxVBMzBzFuWF9h6ma8HEsshVVwVc91+goCvm5ElkyK7VNvRssGPYr8qhHXRup5FJu+OAww2XIKBELsMglSJxhRsUUBDohlOigZjh/o4HTdJVRXJMH0FBNzBvrJ65QT6/uiflBEufppBxzHaYdAFyCQroMyYOVjO76FOtXlYCmDBIjWnDtZDLeDz6Xge6w5odmdDU7cMvn2zGH75Sibw+k/imQ3Z4c1By7AvSl7hpQcz6+fOAC4HBORgcVBmWsBellOmhPdj5KAsSiGOQDvS3gOBOGRgUa6fiaLcBvmDm9j0maCz6IeEUGKkZD7H79HQNLjZdDXmK4yBcYroOZn8Htju3suAjUqomjYXxmqnY69yeZLJEQ7NP9OIfrX/Ebwb8BQZpbjKz8Wj2BHMMChJXHEM1J/Gu5enwsYbEfqgcUqWowbfLfgptBnXEwRoF8rj/Q70wAh1CJWuGLONPooI/Bp7NLHyC70RfsR6/OVNBE2h7x5IUGBw7FpZx/RRApQOLVMDbfYICAtkLv/oF4IqXQk6YEflg+iolGh5BIibmgHSCSt4ZmyCaLPD3s3umaJGBKUE6jrgRcAmME6CpTs3NIHGk7g122A+7GZdFzHNDMhoQwrfy7E9CQUFS4EOcS5+IE39ux9iHByRINJ8roLHk3W4LXu/qhTsub1+hkDF/icHhMp1y6DBM3rID9eo+EqNpQGdKkr8kwETp+QgunZ6H2aN1eOKDLuw56UoQbBpWpcStSwrR3OXD6xuS76VUoEPedcKdMlXvcAexfn/u2U2bM4g3NprxlWWJbaZk8kRZiWA/uwrazX7WsUCtoZ8XXAgMzmFEHgClND/ryp3nZJBJUhOzeE6Cct181FnS+BaHIZdQKjA0ChbIijBBOw27HdvixJaygzobpurmpBVwOtn7Csp9TYz210STgLQAFeqxmGlYivW2j9KeJ/2eXA832j7BctPV6C8kOaZGpfxJ8HCB53qgkO5EVziYiohDRY6PZKEfbXsIPyi/O21NcYDhIsYZoG6D+I6D+LMqDc6Cr9UKqUkNXhlLb1r2uDKvtIWQjn8keIxg9+7dcDV60fJqL/MVYE66UiB/po55J5DMr7fdD4lGgrwpGibE42nz4eAvmjOqBtKxkHDURqsj7WG1lwP//g4w5AjwBYceUp6DfpQKgl/AqYezl7Lcl7wP2b6RkDYOiF0hhQee2evhnbOO/ayWFaO/oNZDfYqySzwoGDj2p7aQ8FL4ci4SgdmrgTduALoLgZH7MpRKRDD1SeteFxM5OtfwamcvXutKnoRbvH78tq4F99ZUoFqlgGHBYoxe9SPs1Y7BcfXg5KyBKGJsqYgZk4tZxowm+UJD6jKbUSvFD64pZXbLx5o9LFVfYgpte/+Lreiw9I9vQrV+ChAiLs80GZsdQZxoITGo3PdD+1i7z4YvLi5gHQkRKOW562DEg3jQnwNaQQIuBAbnAcp0c3Ayg1Mi1eHLdHNZtiEdKgyLUGd5K8NMw6HSsCQ6yTR4ToITac+RJHhoOujrpxBByJiYx20l34WcT16RNVs/xqGuf0dX7UTbMlBgEOiBwrUb+aZrsN+5M+W+I6BJeZ9zZ9bAIGB2IdDrhESnhKwolN4crlEyAiGtBNMjCK3sFfCcK6oQ6BdDklJ9QcdJHIh674m0rouFmkmoNCxDk/WDGE+EWPyn8qHfXAVNcwk6HB+zbcmaWTenFvnXT4REr2RGQVkRkeuNG5Qcxz04cm8LS/lHuwoCQPd6Oyy7nBhxbwXyp4euSQRkicwMqDJAO1TJUvPm7u7M9tZS4PAoQD8kj5VT2O/cAnh5F1tVp4PMJIFusQFN0x4H35kPSWcRRLkPger6kAsSQ+g+P9sgLQPy2YgeX/gfOk+5F7jqeeDdq0Pkz4zgAWed95wLDCyBAN5IERRETpXKJS929OCn1WWQl5RBdtM3kf/hKZxQ1SYGBvTscBzq7RJM9IuYMlTFJv9cFB2HV4UUJhs6vPj1082nlbKn8sMvnmiCVsUzP4IjTR5YnadnLE+f/6eXWjF3rJ4ZH1GAQGWJV9b1T7OEWiTp/Z8HwmE8LgQG5wFUsiIMzLscdWaa2PuCY6v8AcaLsuyjAEPyv4BjPc+mKPry0MkrMSDMC9ho/QTPdT3WJwgIbV+rHIqrC27Bcfdh5q3QE+xiqd98aREm6qajRjkkpXjTkWhZInFA8ENAV6AXrs5Hc7JpDmTYxtdsQfez2+DaEyPfKWrykX/TJKhHlWGmUYI1Znp/qodYgILfEQ0K2P5EaldKDVGUICCMxH9aTqJa5cc8I6VjE8lsNFgMK/gSNIrheLezHsd7ynHFi60obYukw2OTsegPwrb6OFz7W1H5u0uhqVWGVvyZxHUq5Qlpa8oenPxHBwQadFOkuwNOAfWPd2HYL2LdKz5zAJbdrqwcAErJ8zKOSVBnG9JpKtHG6UtIVDzKrsxD80vpB93KG/KhL7gS3e6d8BR1w1/UlbQN3b8K6ekZCWVC24edLKvBXLf6gDIEMj9Qk0uFhkhxsnNvgiCzsEzfmRB2+bQFgmhr8+G+3WXw5ZUmvyc8+VmdAp74oBtPftCNWaN1uG1ZIVttZ8PRJjfufa6lX6v7vpN5fUd2461csa/OzV5vFJrxy5vKUF4gZ8HB1iOOnDMHdEUumdb/0ua5jgvKh+cJBpluwNCCWyDj+zLzRQRFDzY3/RyNlmSDkXhU512CMcXfgSaurVHCKTHAsAyTK+6GlFei1duE59nKPpY+j8dxz2H2+8m6mdBKQytPyhT0BrrwgfkN/LTuduxxbE94T5t9A4Q+Ava0Z6JDrqAWIYh427Ubdpa2Tz+wUqBCgUkqeJvMaPrlu3DtSxRy8tb1oPX3K+Hc2QiOexNyPkLCDCb8K+OPQi3Ljb3vCw6GxXsX7P7rcNI9EB/3SvGrU2Z859g6dPutSbbQf+soxQb3BFz5QitK2jNM9oKIQLcTva/uZsI5xJxPeznEELkuHvYjHlYmyFR+ILdCsjKOgP13DjM9pckJswy6jJvTgDJZr0lS4iy9Ig9lV+cx7kGoKyC8vZzDgK8UomAO6XjoMaXiXpTqZoOLW7OoZSUYXfxtVOelMMs4Q1g8x9G2uSlkypHunESgvBGw6bNcKjHklXCuwRoI5DTQd7l9+NPLbWwCzmVepG02HrCzlXc2VUB/QMT/vdp22kHBp4nWbh/+/FpIDv6OS4tYcBDVOYhzPSfQz5HfUQbjh9eUYmDJ+S9o1BcXMgbnGDyBHvS4DjAyoUExGDpFZXT1SSt6GjBjq+8YBNGLI91PsexBhSHkmJcKJboZKNZOZ58TCDph9Z5Eh3MrdrT8HhpZKXaJJD6TOn0emZxXmz9Am78Zrb7G0GfHkQVplf3v9j/jxxW/RXWYWOfyd4TdIiPMfGBH2B8hGekHGApI5hiWpPxb91NbIPpIZKfP+9mPIjoe3YCDP9wOjWwLFOIA+ILjERT14Dk7FJLdkHL1OdUJA0IFHP6b44eK6N86fSW468RW/H3ILNaBQXiqrYvJKtecsqAsU1AQPUkRtjXHkX/zZNR+pxgn/tIeYWeGEE725M/RoWBOrCTQ6w/g5IncCFjrjn6CuQXzWMmHSgxZIQJSdWg0JNMmMpZ6pztZiIu2oHLN1fo89Gy2I2AXoCiUwjBGzYKcimvzUbzUyMyJ/LYgkxw2TdWyjEIECqkBo4q/iaEFX2QttkSEVcs+nd5wIuvuav0jVIHbs24rDQLbZgKLKJJNBR4wjFUzsadzDUaZNHT7BMMPHdmZkiYDZfeJzlESUv89etwLZ5aSUl/Q43ao0cPMgyYOSR8U0Srcnovi12cAOoejzR6cbPUw++vvXlmCa2b7sO2IAy6fgFITZRI0ON7ixe7jTviDIgsGZo7UMV+L1PsU4RZ8UPBSSCNR8HmEC4HBOYKA4MGhzn+j3bEpYXI0Koew1RKVE6i1jch7mXC890WU6edk5BvQIEt/39fxNzj9LdHZxu6tw6GMVf7Q5HzYvTejxgHtbaX5bXy99AfsZymvTjin7rRBQfw+YsFJpKRxbcGXUK6oStrW32mH+2BmAyjB5kXVcRNODeuCjGuAjE/vkpYJ7sC88H+lGhB4OIM1eK1rLW4uuYit1DZZHex6jjzSjSDPQZKDkovoCyJoccM0RYeRv69E+3tmJvNLXAF1tZyRAPNnaFkZgdK//2ntxHabE8McQOaCUgibvKuxq2Udvq35Bbo+zi5+RV8oSQ1HcGNxPlQ8z7oTyPY6gkqFDF/cr0bnn1oSPA1kRgmqv1qEvEkaZkVctDi7MBARaWWS3JjxpwuSCg8ITgTLW8Db9OCENAM4D5QOUWH+5TpI4ERwhTMmLRL+l2y/a7/df2Lk/wIzDTo809ANkYaW+IQWPcLECS0Axi5Uoaned1qsfFpZE5kvXWBAYkdPrUwuDZ1LoHMg8yMKDAhUVrhyVqIx3dgaNXtlgivoxTuW3VhlPQCH4GXMq0magbgybxIGKs+u2daniQuBwTkAURSwq/V+WDxHk1bMVs8JbGu+B9Or/gir5yT8QnrjHII/aIPZfRj5YTvldNjb/memdhg+gvD/Czk19BEXgIckIVMQD5rEqe3QFrBCLzWgRDcdp8yvRf/ekENru4yTh4+Hw1DVaCw0LscQ9cjUx9OZw6qXAwy9qS12c4UoyuEXqJSRkX6HDVYLbi4B6t1kCxWCjNRV+kF5jnQoaAYqUPvtkpTbuIJB3H2qGR0+P7uWdbVAUAJIMqRr3RoHOisbAa+IrVu3QYvU7oLxKFyghyzORphEbK4qMmF5gZH1xHsEAeUKGZSr3Gh6uSfp/X5LEMcfbMPQn5axVfW5AhITo+/SN3Ur5AdHpd9QAGqWm6AzqoAv6eFe5AupP3b6mdV3/gwd9KNV52SbIkEvlaD0sAwttjT8nG5AeYQ/bWY9xYa99tTMzEMNLtaB4D09wcv/Gc6G+ZEj6ME9La+j1WeBEB7d6N8dzjrsdNbjrrJLMEYdygCf67gQGJwD6HbthsVzOOXfaHL0Bi1osq5ktdZc4A8mTpSCKOCgaw9OuA+zibZcYoLZczTl9EZrHnp3uimMVu8kYNQd6Mh4DLTa/0X9HZiim83IilS+IBEm+gvR+3KZIv9a+0wOW1GffA41PhEoMJSBR3OWnEimXVCaOPvoGcnGxnVCobOQRI5yWDVxgHJYCetMSPp8QWREQUrFUxdBY54A12A/hDDVwKMGdk8GJm5Jf5R7562BKAkdYHNXE4bxZUAwcwW6aHFqrQYlz2OSPrRKpFbHXa/ESJ+p0PhcN0aNqTxnGNwUkBMCNXXwzF4H5fo5EDmBWU+zv4f/u+wqIzN/ijdrqrrl/BG06bT40VKfmdi744ALX1lagE/CxoL9AcVDBQZpEqfgX+92MLnj8wEUFAwqPzOuwCu92xKCggjoZ8p//q39Q/xz4K2QnQelhQuBwTmAVtv6rLLHLbbVGF38nZz2R2WHCNp8Lfhn6/3opnotQoxyWunTcE7iuzTV0RqPfk/c2moAJ7NM3APlxegKZE7dE0ioaKt9HZq8dfhe2S+ZQVC7YwNzJ8iWMdBKElvqCOS5sMOxCfudu1h3QoWiGrP0C2GqLoC0WIdAR+bMwTjDdKzmdjD2/ukoOnIspKFOhUwDCAclHxoMB6mUUHAcvKKInWOLsXBtQ0h3IJu4z+WjGC+hUCaDLLwK9VsDOHpfK1wNvuitouGAr3wIrF0E7AorKa9fAMh8wNhdxKcTIXJiVKVv7/zVODKNgrMQLLpuiMFUckLxpyNCnpddDtq8wwExUwuaCLgbffC0+M+ZOnyeaig6nSGirGfJSlZSkG+YBVlzJfsuWss57JvuQ80MYLk/gHxZaLj0CT7sdGzCEdd+FmRSu+o03Ryoz0Cy+9PE4cbMOv8RjQCSFzbpQiZI/fEuoG1J7TAeT3zQiU2H+hcUkJcBTdCn65twuogENmOylAkywSv4sdpGxOx0OixgpYXtjlOYoUvd3nwu4UJgcA6AMgLZjOR9QTvjG1DWgMh8qadVjhEI9YqQ06IjaMdfWn4DZzD0gMYrChINbnV4L/F7Kg2bquwO+dkl1PkJN+TfhN6e53JWuaWBs8XXiM2OdVhY8m0M8l8D9L6ON8klMg2IqEjeCPEgK+a/tvwO1qA5yj845NqHlea3cFPh1zD2xolo/0tmg6bgvw7hO1+7Hc8MehVd/vjAJrez4TgBCslOeINTE0iHiRAx1xgaJMmmeWm+gRH1nFo53r5oEK587zgjwMcL5USusSDj8MGVI7FZ6gWON0LN81hs0uOqwjyceKANrqZwq1b4VonsY95HgN0AHB8O0GL34+XAzmnAsAMctC47/HlbcHL8brj0iYFTT1lLshBC/JlwQQSH1UGmzz6QEZkwY2wbt92ZFXTOHkgT4XjPyxBEHwuAHCNP4r3BC2BlOWUOIgvK5DjaY8Faiw13DywHx7Xj4db7WAdNRA1zl2ML3up5EV8v+QFGasbhXEOuFSxS7vvZDWW497lW2Fy5tw+Qa2P8pNpt82PNXnu/Q2+1gme6CA2dZ68lMRvoKyYCIXUXUIksFeravVi508JEmkiTYeJgDRZO0Cf4LXQF7PClkTePQAIejb4ezMCFwOACcoBcUGQanxkUkjyWgh1R+DXsbL0vrEaY6AVLE+rwoq9FU7WkEkjBQbrVcaoxnKZLmj4WQg7euBRHye2PeshVIzDbsBgd5jfhBocxEJFKyy8V6PPXWz/CQuPFLLBZVHQ79vnbUe85wQIHqZ9H1cl8KNwy2ExuOAYiofvAL/jw5+bfwi6EmFOR84koMpLmQuHYX6Pk9lnofGxjxiUH90wdfv3PP6EOJ9Hha2PeB+S/sMb6IdZZV8HVh8MRFIwQRBM4zg0J1waVdA3jGQiisU9wEPoCVfwpzDQsiv72uuJ8tPv82GZzYtf4Qlj1Cszd2IiBjSHSnyALwltqw/7ReVgxcgb88tg+Sc+ezIo6D7ow/UT6wZICjSkbQ4FBBBYTsGVOEDK+Hjp5chCW11mEpU/fmnaf7NrKAnAteh+iuDRr+p86DHKp0LDtzgLEoIiAPQhewSd0NcQjIIrMG4CIkqkGfZlEi/GlP8TutgcgikFs818Eq1gIkVRr4kCn5QoK+HNjG3jJ7+EWQ90l8SUpymD9q+3/8Iuq+6OW4ecKhuRgA0ykw9pSJXMqfOj2Krywugcf785OTB1To8IPrilJuL47jvZPtjoCWoj8/iuV2H7Ugcfe64Q7gyDW2QDZNC+dZMDSyYaUpkqE97dZ8N9V3UzISAh/3STl/N5WC35yfSlGhe2a5RnI3hHQuJXLducCzo+j/BzDZ2+B9NihUA4/LTimXEgwqUdiUvmvcKz7WVi9J6JbkOb+0PybYVTF+vx32Df2O2XOUl6UWlUOwo0FX0j6+wHnLjZpEF+cVn6k+5KLVli3v5OlYMlDgaRUv1X2UzzX8Ri4le2Y9kktFN44cluxGtLbXcDw0Mr7zZ4XokFBKtDKbZX5Hdw+6XvAoxsyn58nAOfWBgyaNxyD4gyZLsu/nnk8mP29bEXY7hPh9C9HQKyNfQ7XA5V0FQoUT0MqXoNWb1mfRygIjzAYPz1hxrVFHK4sMjG76O9XlmCPrQuvtW6GbZAWHw2WYGigERXCKUDtRS/K8LbvstTHS59wwMcyAeTsl/L8RaC4HVA5iVwY/xcJVBEpZhLfCUogEDORDGk+WAqJX8aCyZTgAMetT0Ao7mS23mNLv890BtIhb6KGTdBMUjjlQYaY+8ri/rlU9gXtv/UtMzo/skb9F0h2mQSUIr4RjR4vc37cEu4IoczLQpMelxXkQUf6tXHIV4/BjKoHcKT3Y5zsGpfWJpv20+oLQC83Qconl6xCxSmBBZg3FH4F5xLK8uVsAj9Q504ZM9OqmVrvKCggaFUSxr7PJTCYNUoHuTR2zbqtfnyw3dLvbAEdw9BKJYKciEAZMO8qPVa9akXgUyQtktrhFxam54ocbHCxoIAQCQrYf4vE4xLxwMttePjb1dCrJSiU6lAhy0OLn6zWU4PKDNShcD7gQmDwGaP36JtQOAJQWwEXjbt9FzYkoSvJR6VhYfRXeaphmFr5O7j87fAGLEwNLhUx0SNkry2mw3FW3khGvG9CSfhFVet0xY0IiNfwt9bf4Ttlv2TBAXkqXLVlPnpX7ErettOFlt99iIp7lsNVzWENkxTOtG+BOTD6fPbsFQEJD38aLoKEk6JAXoT5hlvxrxZ6NBInMcocOP03YIq2C98on46/NTVgk9UX/tLoFeJw0Oulzl7GBl9oMrDV9nhDEYaoJrNuEIeviZYY0f3Wi0szZuFpLs+SUGKIl+ylbYeqZTDalcj75BIM2j0eMp8CHpUL9WP2o+LYkIx7JNId35uPYGUL65ZZ13wP3NqpTLyKtCrIRGquYUm0U4SX8xhwawFOPdKZ1ua46osFZxwUHP5NM1yNvoSLZTvkhu2gm7ULdo2T4vf1rUzmV4jLvLzXbcFWqwP31lbAIJUyrof9YOh99D3LqpdDUPdkucgiAkI5pGlaXek+3OPYds4FBoQ7Li3GPc+0oKM31MESX0CrLlHgy0sSvxtyS8wFA4pifBuLI4BfPtUMq6P/KkY02VYNl+P2I3XM5IlClCANeZTsOv1hLCOIINkXpGVwoN7NBJt2nXBG7Z1TlWfIGGrNXhsumx7K5l5lmoy/daxM+VnUtkgdCVWKzFbf5wouBAafIUQhCEfLZnCiiOImoLcYsOWH6sShDQCNFaiRjQlrASSCgoFMnQql8gr0BrpPi2hnTRMYGJWD0e3cnRAgVLtUcLpV8Gic8CvTywjXeY7jY8u7uMh0FYJ2D3pfS0OBZrOriJ4XdmDXt2wJx9+724bWVb2wHnHC1+tnE5KiQIb8CXqcuKIhe/2aXNA0mQe9rdZCcHCy1GYiQkPpJksRrij0YYs1nbxyzLhmfh6JKIW20cjLML3yT7B4jrE2VI7jUaAegy0tZN+bfvTrLE6fLYjArQKcYe4b3T4zjTp8QTDg5N+uR9AdjCr7Kd1qDNtGHInMEPkgeHNI6rUHAjb5WxE0vxn9LsyBHux2bmXloavyb2YDI6kX0vdB3Qe+rliUoqlRMHVDbe2ZWRK3vmlOCgoYwj+f+lcnnvsBh4As+Y6nTbr9ATzX3oOvyEw4/kAr3M1+Vg1i32oQuNUEvHkdYM4YvwRPW7L7swTV7slqeM0+G9bsscHiDKJAL8XC8Xomaxy/6ieUmOQYWa3C4Yb0WQYS+aE2xVfX9TKHQZdHYN4Fp1MAmDVVi9dFc5QPwa4y3S4UHLQAukYe9p7stSpSI8zVh4E8F6hsMWGwhjku/vm1Nhxr8bJzI2QjQdKxHqh3scCAQKRCc9CJZ7s3RUcF+peuyHBVGb5TshTnCy4EBp8hxCANcqEBlJjj+e1U+w21ndEdJXfTKpAHV5F+ss2E2YZFOOAiGmH/YZCk1v+uMixDl3Mn+29JSxmUHy3E0ONDMAwcBD6IulEHsHvRR3CYkk1baLj+2PIeluZdAcfW+syNw4II96F2HG02g1oogp4gDj7YgK5NiSUFwR9EwBmEs8GD69++BVfVzMIt2qmM6JMaIrTT0tdtLP4AdjtcGSb8UJfBG53mrCV1cyCIOrcXtWFLW/ZujmNseHpFoOXbMmYMjo0A5q8CFHQbpBisBE7AkSk7oFY0sxvp1pLFmKGvxcGfNoVS+33lfnNijfIQ1S7Q3bmZJrw+b4zU1+n7pOwBSWQTTNO0zLXRecrLOABkc0ztfdH3efxwbGtAoNMOXquAdmo1pHnqnDgFVD7IdNGpK6Jkj4j2yWlOCcD2DjumPe5CwBKe4MPZGILBDFz3DPD0N8LPYAoo+Fj5LlVJq1KRsSZ4WgjabAiYeyHR6SA1nf6Kk0h2F002slcu+PryIvzqqWZmaxw/SUYIe0QWvP+ltrSr6v5gV4sTYnGKx45SB1WAnRdC7VNZEAkKcqETU3D04KvtrBuDKkxme+ieEMTTJ3ZebByH6dpBWGM7gna/BSpezn4eqvx01Ds/LVwIDD5DcFIFeJkagj9m3EP3vzqe/8YBMk2s/bA/GKWeAA2vhTOLKFLScYHDDP38lH8j4aSavKvQsGsXtE99mU0gkYY3XpBg4IFRqDg+GO9941HYCpKfZJfgxPu9r2GGZVBohAlmfgpbO+fDWjICJ357Nyz7YkGBaYIOulo16+23H3fBvM+BYDCIV46vhb3Aijsrl6U6MegXDIGsIH1bWY8/e1GTxipLIJjT4EPiP9kwzajFNnt6wpYgAzq+pMaAx11grffhXbJ1MSeiq7IJB+a9D3m4lvBy90EM7fhrqLXxdMEL8I84hGZmdJUe9N1/ZHk3Ghiw3/EctIOSswO2dSfQ9cRmxvNgIg+CiO7/boNqyTDUXTYCPogYoFKgRqlIGkSpmyHozHwtRQlQkEUqYtheINAbTMvVULmA0buB7TP7/I3UKzU8WoLpZycKluYaUtx3pwlfawt6Xnkezj27ojOQcvBQ5F9zA1RD45imnxKK82T4422VeHuLmWUZPH6REfbmjtGxR3flzjCB9ixwBF3NIlAWbotKhX7OqTl5PYQ3omzB6ZwCxwEjwq6R8TBJtbjKNAnnMy4EBp8hKJWsr14Iy4n3qK6QeiNRgL7q9KxmaXAlt8P9LGuQ261Pq54CWRFmZvBb0GtnQ/76EIgCDz5a9wi/X5BA5lFg6juXYtWtT6V8//vm1zBMe0fWoIBg18rRvuIgLPtCpQ2pRoKx99TAOCI2uRv5PEj36/Dq3e+wFfIH3Xswo3AIJiprohMQO+6FQ1H45XDDfwqQw6HG6YM0ICDQJ7UaD/qmiuWyrFeUxrJSRfZa7RSdFhUKM9Mu6HsXsIY5nsOcmYXQ1ghofduM7i1WRiR0GC1Ml+DI1K0IygIJ6exDRw9CyRgg/QcFHN6ZGyFqnWyRlikAom1Jp4I6R2R8+nN17GhA5yOk1xFG5LsXRbg+OIwTZis+WBwieg5QynFnRQkqlLH98YocZgaq+2a53EMjHlppQJm74fuBnTMTFI8xWK3E96vKsNH2BbzB2nWpVTH0bUXaZ2fqF2Ks5uxMCL6WZjTd+yuIPm/CstRz4hha7r8Xpd/7MTRjqLH404VJL8WXlxTii4sL4PWJLFUfEER84y/1pzWZZsR+Sh2E01OUsSGeHiVgpABPJVauX+KhOUM8A/Li/HHpCbnnMy4EBp8x8gZfBkfLVgTc3SmDg7whV0CmzTzAu/ydaLS8jzb7Rua0SLyDSsNilOsXYKp+Dva7kgl+6TBCPRY3F32DkQNTgQSTnln7OOaZb0q7D16UoPzkIGjNRjjyUpnt8NgwZDdmS40QA6kDIsp+n6w2wq5ToPOdmN30sDsrE4ICglKiRufIZgy8qQQnHg+5MDxSsArXLJuOGlsVphcvYinrA8qDeK79XrT6mpiB0ETtdMw1LIXeqoL59b2wrz/JgoNf8cD+EYVYM7sK3fnJ14EmiysKjdhpd7IMQ6qBhbYZr1PDFBbFyQQpz+GX1WV4sLENx92krx6pTQJ5Ugl+UFWKIrmMGd4M+HY+Hlr2PfB+KUoaqqGxGlB6shatg05AIKefMLrFDlT0JzDgxdDtxwvwztoAz6KPcLZARL+eF3aljTDo19O3tWL99Eqm99Dk8TGp5z8MqgydN10jtQS64UrYj3rSlhOIh3E8tflmFBoyD8oAOpbCoAQL8jTo9Puhl0gYX2OsVs24IovzLkWZvAKrLO/imDsUZVTIB2C+cTmmkivkWUoXdz37ZCgo6JtxCs+MnY8/iuqH/gEuzt760wSduyocnB085YLb+ykYIsXTbCiJSpeXpDYoSKPmgP+x8FE6ULaE2he/f1UJ4258HvH5PKvzCBKFDhVzf4vu/f+Fo2VLNDiQKPNgGnol9AMXZ7WN3dnyeybSElnBEOv9cNcTaHdswdiSH6FaMQiN3lNJUsA0QWslelxquo5NlKTgRtmCTHi+8zGoOvNiKn0ZoOvJTxkY0HEc5Q7j8hu/jZ5ntif/nSoMPIeVCwfC09IMX2dIfllq0KFoZnJ9tJ0ZQQH5E/XRwMDe6MbhcW04jDaUFE/DHucT2Nm+ObrSo/LKJ5b3se/UBtz875nkjxzNLJBi8OiDXRh+rAf/+eJYtJUkBiKXFOQhTybDl0s1+HMjSaCGerBj15WUGyX4UmlhvxzwfltTgRNuL/bYnSwoqFUpMEGngSRusqHvrOrQCEx751KoHTF1SK/KhR1LP8TxSTvZ9+Iabs5JcCiC4uV6tKs+hG3QOoiaWOmpIGzGlw70WZWKgRmzBf5WK/wtqcms0fMSgRFHe7B9Yik7ZLcg4J1uM24ri92PZVeZcPT3qe236J5pqQTaslg/aEh10ZyCwBg9EEBXLsdXy9M/ByM149mLpMbpXqJulrMJf1cn3IczpDZEEUGrBa79e6EZN+GMP48IhKv32NDU5YNcxmHKEA3GD9YwMZ+kYwuIePLD/6EhElUPaV0TsXX5jKBR8lDKeVAiccIQDZZONDCC5ucVFwKDcwBSpRElk7+D4Jgvw2dvBSeRQ2GsZqWGTCC3xb1tDyJIym0pRjoyU2q0vINvl/0MT7X/FQfc+xL+TqSx20q+g/wswUC8+uBJz1HUKsZlDQoIAcaWSw1n0AntRUPAy6XofWU3grbYUq69SIO3lg9mE7ISWox55hV4mhsh+izg+HfT7lOIE0ThpaHjo0Dg3d5X0OEPTSjx3RTMxvnNQRCcPvBC4rWWUPneL+Cat47i4a+PC/nSIoh5eTyuKtTi2Y5Hsdm+Fhp5EdyB+fALVPPlQR87xxhSKySL4v6AVpuUsqZXOth2ujH/hRuTfq9wqzHzzStZvvX45B0YWjIcBXN16FqTQwsnTysgCSZeeR1O9nJotn7MMk+EGt6Iw6IbXpHa3JLvMQoQqTMhE4LO7FwHgeegIu5B5GcAa8123FpaGO3qMIxWo+Zbxah7tJOREem4KZYjXk5rBfDOtcm16EgjKV2Ca4tMGLFcgWN7M8wyAnJyfySQHkdql80zg78rsw8JA8fBc+o4gvZQnV85ZBjkxf0vHX2824rHV3SFdRhCgd66fXaUF8jwixvLWSmhr31yp+V/6IgkfvZBAeGWRQVJss+fZ1wIDM4hSBR6qBS53Xy0WlnT8yLWBi1MkIhiV/LtIlPiWBwrotG6Eg5fKwa59zNeT1f4WauQlWNe8begyTEoiAQGhOahRxGUBCAJpr59aIhx6ezoLk9vqhOAH+/1voorFt8E/fwheHLNQbSanejOU6K9zwpdolZDM2QIJFxmk56O9bFOCP3QkNIPTWZdTEI6GYYeFapOpWd5M+GgLhcGta9CW5UTCv4odLLpeKLDzLo96DylfDt08heY8yIVRtU8cE3R72CSnZmQT7qUfON/u8NzX+rAbNKHS9E84TBKZGUov7UQfnsQlh0xcmtKCIC7xQ8pr8TQglswyHQd08jgOAk0sjLUeE/i4Zb74BU9SVbYi4yXYpJ2Rsbdywq1WWniZEfdk5cYEPlEEX5RZH4TERTM1sE4Xo3udXY01jmx2+fG8WGhwCDVJaFfXVZgZHoShcQLKRSRP1uLnvWpCbnUURFvMf1ZgFfn8PmiCPPbbyT8Sj16LIq+dgek+twCm92nHPj3+5HVf+jiRb6i1h4//vBiK+7/WmWCquHGg3ZGusu11m/USE67hfFcABcmGJKQ0/9POPvh7gV86giIAfyr7QG8anmXTfTucMbtQNj/IJ7fTn7znc5t7JHXhLk8xOmR+9uwveVuJpCUKfjY79yJR1rvx6/q78Qb3c+x33vVbhyavjmtPgKtOvYs/BhivCFACqyzrWKkNU7KY9SUgTgwvCApKIjfq1KSXHYgkNNg/SsdaHojJK5DMrlVV8YCnnT20PlduZnelPbWQSHZDXAutPmaGGej77lznA8cZ4FXtDGW/qcB50kvvJ20WkufrVF4VCg8VoU/NP8M79tfw+Aflqa3dYiAp9JVbJ8SXgGdYgC08gqWtaIS090DHsJy09Uok1eiUFaMcdop+F75r3FVwRey1tV5jRKioTADgRFwKaU4MiQxSCMpY3mKfUu1EpQsN6LuGiU2LAZaKSJOcwiUeSCOAAUFUULuN4tReXM+ZMbYhZHqJai43oRB3y35zO2TFVXVkBbkXoaKwHVwP1r++FsI3ixEijD+tbourUAGTfxUWth3KjGodLqD/SIAUlDQR2H6nAN93aUmGa6elcdUDCNQyTlcMs2Iu24oZUTD/59wIWNwHoJW2mSjnAo0JFAYQBZEsVs5+UmmlbQv6ECjdQUG59+YMih4quPvzM0wsjqMx64lKyH1SzFs6zTm4EcWtdShQP+9c/EqVuvOBlJm7PC3oUIxAJN0GozRqLDf6UohLER13GbII/K+xK045EDPDhs8HT50b7cxLQOCRM1j9M8HQl2W3ULVL8tNoS0Q3o6ugyvoTHk9YkcqYIttLa4r/DL7mdopXfta4NzZBNEXgGKACbo5g9AgacB620do9TZBJVFhgnYas6gm74a0x2vN7XgVDk20+6NQXoKCGYPRs9GRybwTeVMzB0kGaR4uNl3DXv1F/RNdsFoGQA/K6AQSvt3InfnmxYMRjOsEof9akKeDN9jLykFyiZFN6gHBA7e/Azwng5RT5LQSlfUJLmjiL70kjwUXHS0e2PwBGEoVKFadGzVjjudZS2LHvx7u3xsFAf7WFtg3rodhQWZuUp2zB9b2LHJg9Cwfc2JcbSyDUZovx4k2bxInMh3o+0knV0LfikLOwfMpeyJkAt1yc8bocOP8AujUElw5y4SWbh8rUZXnyyCXneNRzaeEC4HBeQZaYa+zrky7WhfD2QMagk1Z90Z2zmtSBgYkXENBQWirFLVlXsTWS9/DwVkbMXDfGCidGtY+d2rsXng1WVLXcYi4NlK68kcDSvF0Wxs+NlPdNJKKD0DO74ZGtgIcF5sY21eb0fJ+SMc8AqlOgrG/qoFxZG6ZgNYBZniUfig96dP+AUkQ9YPDeukQGFkzQnZMB4/oRlAMQjR70fqHlfA1mUNtkyJgX3cCnc9vw3vX7MHJUV3Ra3vMfQgfmt/C98p/hcI0apZyU26Pq8tgjWZuPux9Ez+85Pfo3ewIrfT63jY8oCqTM6+DTwOuRi+6iecAFWwYBzXqIENPNDgIQIteVTUOD81LJG/yfuS7/4B19SFuiFpaAqUsn5FtmRsiW/2PgID03TGEYrmUtZb2BfkpPNvejX2OMBX+JNlkK3BTSQFGaD57/0fdtJkQXC50v/gMRJ8PoO4Dmo1zWK7Te3xtLTDMXwx5WWpDp03WkzmMECLc/sRgdMF4Pdbuy2xvnguMGh7zxxmYidHDb3bgUKP7U2lFzIRLpxlZIEBCTRFQZmBAcfZFxecd/3+GQ+cpSEa4tfMUPIHMEy85/x0OjkJdcCTcYuYB3x+2ZE58v8ACg1xAXQf7567D9uUrcGzGtn4FBUpenbBC7vQ3wSBbBZPiT9DJnmQvo+J+aOVvsVR9PLxdyYQ2UtrbeddxHHigPppByISgVMT2uXVp/07B155pjfCqaJXLYYJ2OsrlVdFgJh20vA68yKH1Dx/CF2HjE1mOliFEagyIuPilsShuTKxbWgNmPNL6J3b9U0FdLYeqQpY2bU7H69Y40Fp7MvozBTH+cheG/KQs6kLIUbY0nDFVV8kx9BdlzMvgbMPT4cehe0giKQQBKjgwAhZMhRXjYMFk2DEeMnceCuNoIAOkbVgm+wukQqwDwRVoR6/7YDQoIGjFQyjlTjAVgXS4spCcMRPPrd7txa9ONuNAJCgI46Tbi9/VtWBvBrGp/yVo1T/wr/9C0a1fR97Fl8OwZDk4TfYAjgIJ68cr0fiLH8G29pOU23ikHkBF+cUMs7HIoaQo8V4fUq5kMspnipsXFeL6efms3e97V5WgyHj2OTmEBeN00XIBOUjSrUD/fe0cE25akJ8QFFxADBcyBucBHNvqYX5zH7ynQqprX9POw55pDdg5q55NbhEIohpO/5XwC8NgAYejbNUYRC2/F9Nl70LWZ3IlKKWmlE6ItjReCZkQRBD50kL0BHJrZ/IILvyy4dtMfpl4E07BHup24ETIJKHJLR2uuP1SXPrQ1fAqPPjznnvRvtaMhlc6WGdCxxoz3K1eTPzTYPDhVOBU3Rxsta9LKgMcm2vBQmk1fO/Vh0YMpockgBc47J/YjPVLjkPGyZgN9BX5N6LV14y1tg/THhelvWcaFsK1uwW+ptTXkAnicAImrx+It78QKwmR8U+TR49fnToGs18BlYTHDIMOi0x6ZvxDE9yAWwtxJNKyFzemR9pHt1z6DkTqt4xDUAwgf4wa4/5ZzTIHzjov69owTlBDN0KVNHEybQmeO6NaOxEljz/YBsGdqowlRzCOIkuQxckrGsQj0HLp3TTjsUD+Elb6vogusTLanRn59+rCPMw1JpPGnmjtYqTGvuFX5EgfbenE34dWp7Rq/l+DV6lZx4HlX3+Dr6E+9zeGc/2dTz4GeUUllLWDE/5cLNMBgxuBfYm/j0FkfbsLxyS2B9O9cttFhSjLl+GdLRZYTsMwifDC6m4UGaUYUqFiKfwfX1uCHz2WqTG2/yDewNcvLsblM0yMNEkKh/l6KSMS5un6N/X57K2w1n0Er/kkOIkMmtKJ0FXNhUSWXc77fMSFwOAch/md/eh5bkfCKlHjkGPGx4NRecqEN764C4JUZKx4m+9rzAEwkV0gwUlhHOw+Ey6SPwE+gWwUs3M+W7im4Ev4T/ufWZCQK6zBWDdBJsOniMLc9YVfwdxBS9jvKGVfUlUC9U1KZqS06+cnIHgF2I650PhmFwZeW4IiWQm+WPRN5ga4zroKLb5GKDmq60/FFP1sqGrU8C+1szR/oNcFiV4J3zQDqgu68Q3uYgxWDodKEhoASAt/pn4BNtqSV2IUdBilJiw0Lodzx75QoJFGL5baI2uOFIELchAl9P1xcPqvgU8YC6efzjIIBILMiGlFjwW/HliOKqWCWQsP+3kZ6p/qgodMgMJw5Jmx/aIVaBxxOCl7YZSGSH0SBY/CeXoUEgGlD8SgAOuqI7B+eBj+Nhs7ds34ChgvGw3V0GJ4BQG2QBAaCQ91H1Edr+Bh12OD9WOYA93QSPSY07kcxsZ0k06yBoE5Lj7dG5yLYdKtUHPZpbwVnBuXyv8Dn/pGNIqT4Q4KKFHImHlVWQrVSVKXPOZOT86jb6s3EMR+hxtjdZ/9oE8eCc333Q3BeZpZDJ6HZeUKlHwz8buYrRuK54ZsgdieD3RGLn543GBjBIfqGfuxq+0PEEQ/I6NWGpaiTDebtWlePDUPyyYb0drjY/bMH2zPLZCLoMcWxK+fbsEXF+dj6jAdyxwMrVDiWDN1vpwdXBHWPCFp56tmZS+spoPl1Ifo3vtkqGU5nM1zdx1E75HXUT7zF6y1vL8I+hwQAh7Wqs7x5940fO4d0QVE4Wu3hYICgpg4QZJ0K7Xajd5Rgb3TmuANToQg0gSQnBojj/kOsRqNwjBUSw6F98EzhcRy/UK2uotfNZLIkV5i7HfWQMpROpCmtNNbRUSPV6RuioHwBKcgKJaAgwdyyQEMUvfg0vxLMCZOdlbCSXB94a34d/ufYRimQfV1xTj1TKjxuW1VDwsMri38Mju/auUg9koFWZEOpmsSJWZLkbht0OmFfe0JzD8wECO9y3Gg/AT2TKiHS+tj38lozURmuUs8BIc3+zWgcoNE4BCQiPAGp8MnjAmdfx/aqCso4E8NbfjbkAFsFasfpcboB6pgO+XEE4f/Aau6B50VTaH+yjjQMc01LmXXKALBF4BzawNce1sgCgKUtYXQzqxB56Mb4NpNJkyRDUU4dzfDuasJ+28ah9dq9AjQfQJggk6Na4pMGKhSwhV04M8tv2VqkpGgzhvowql9DRjH1SZJZqcKCk4MBVx9aCEng2MxWrox6zUMnWgQFfwxXFJ6SdZNO3y5uR+S6uG5AMuH74eCglzZfn0hCHAdiJF2IzBI1bi5aDqembMJOFEFHK8CnOpQUFDeCcWw45iWvzaqZ2Hz1uFg5z/R7dqNMcXfYd0qJIBUWajAzQsLGGHvQJ2735P6f1f1sBehpvTs1vYfX9GNsnwFBpefvqunq+tAKCggJJT4RAh+J1o33ocBS/8GXprbZ7g696P3yGvw9BxhP3NSFQzVC5A39CpI5J9tm2w8LgQG5zBsHx/NuOokjN9SFQ0MMoGDgGPBCeHAgINZUYNtohfP1X2VrXRHqsdjcd4lGKQazlYEC4zL8WbP8zkfK+1jmm4O/GdoO0tBgct/CbwCeRrQ5EqTmgh3oAINTinyi8rhE3ywBHqYWiOt0MdoJmKR8RKst36E4rl50cDA1eLFV4zfYzLPZwr30Q60/XEVcwek0Y/msWmHBmLqJzUIfHMgSqeOZscSgbwqD9icmb9gM3oQkAosW+AOpNcCiFgG77I7MUkfmkEp0DHUanFp2WV4uPUPLMggHb54DFaNwJK8y6M/+5otaPn9hwiaXaH7ShTh2FyH7ue3x3kXxH9waKof/uJeyL8zBQGNnP282+7CHrsLA1Ry1LvdEHArpHw9lJKNkEtC7oNUKsnpuqqBNaHkTxR0Ji4x9zo2BbmyNBLefUGKlLlAc4702Nk2rD39oCCCNOPHxXnjoJOo8IpiK7qGNgBBKh8BA7huTMEJqBFfegzto8OxBc2qkUxyPZ6wd9f1ZVi1y4oPt1uZBfPpoL7de1b1DvxBEY+83YGHbq9izwupNpJA064TTgQCIqpLFJg/Vp+xrGA5/m5CpiABooCgzwZ78yY2uWeDvWkDOnb8PTGjG3DDcnIFnB17UTHnN+dMcHAhMDiHQQN5pqCAVoR5PRoUSoth9VLaLP1gRlkDSIdgfOnP8bbtI+x0bouqF1LN/aBrN/a7djKfBHJWpImWzHF2OjZnbM+LHEeJvBxX5N+ETv+ZyZR5g5PCQQEhMohzEINB2HxuVn/Xyf8PftaYCRRLy+AQ7IyfwEMCdUHiqqMieOY2uAGLG61/WAXRGwoKoggTCWWP1EFdPRaII4Dr5w1C78vkipdmpxwYsTHEadBDRGYrXLoSh52eaGAQAQVyP6/8I5N3pi4Sn+BFkawUc4xLWMlDGpbrFdx+tPzug5jCZPx9lcHMiu4QXhAxYW8HNswgwYBY1+MpN00cISZjQKiBQxgMlbgKKulatA+sy5otCEiA524DHPrke1XN5c58J7ZAiS6zyFIEJDOdL5NmdNEk7YTxunNjgBZcZ06E5GQyeJsaoagk+bMYPD4B5gNFEHfNAWcLgCovY4b0onrAE9Bq0qtVNlpWJAQGkeAgYunsDwj4+1sd2Hqkf8d+Nlwa+y4y2nr9ONLkgVErwe+fa0W3LRBda20/5sRr63tx+yXFmD06mYsiksFX5770BncMHNyd+7IGBkGfE527Ho3suc8HCfA7WmE++joKRt+CcwEXAoNzGLxSljVjwMtl+E31X/Hj441o9pJfQprtABTJtTgldLCgoG89PzLxP9/5bwxTjYZJVoBbi+/EZN0sbLB+hDZfM9S8BsPVY2AP2rHbsYW15eVJ8zFbvwjzjMtYh8EAvhbFsjIWIGTiC6R7kD3B2eEHJxS0dH/0ITreeAX+7i4UXXENym68BXywGnJJKBXXEWhNEDLy2hNXK5zuzEcb2+pjEL2BTBaDrDZf+JXp0V9JjWoUfXUGOh/bmPQdktZD8wAzy/SwYzzDdVKxvAw3Fn2VvdLBvuEkgpZEFn5/UNqRbZAPBXHuwGLI+JPMCrq7rAWm9hLmuNkXdMbbZiYHBRHUSMhqLxfwMCgHwaQaldvWHIcbi/Px9+b0ssNXFuYx4ue5AKkxD4He9FbPuYBkk5vv/SXKf/prKGtC5TGnJ4h7nmlBc5cv2ibo8QLbDxix58i3sHzBf2Aypr5GTn8rgoIPEl4OQRSx96QLq/fa0GkOsAl4zmgdvnVZMcbVOvD4B51ElflM0djhxT/esjBPCELkUaTzppiYsgpFecRx6NumKrKN2pQa7MorhkWmgDoYwFhLJwY6rVGtSFHIfoL25g0QhQxS0qIAa/0nyB954znBOfjsj+AC0kIzZQBL9aYF+d5PC62IiWz1THtiX388aNqfZ9JjtWVFlMSXCvTbjbaPcWn+9aykQGl6evXFLcXfSOImEOhnYu8/2v5g7ica/WxtmCcRd4oKBXztoSyEdcsmlN14E/xCTTQw6IuesEc8QVutwmb3GlyuviFpO2Lq73fuZjLPCl7J7HIpGEoFqrNnbLIWRDh2NCYEBgT9giGQFmpZR4n7YOgcJHlqGJYOg3WOHQNcdrT7miHj5PAHvHAG09dYaegZqT29/npH0Abz9hNZZYnTgexuM9lQJyIIT2AatPJXsfrGF7Ds8dugtRhj3hrhloFTw4Dts1LvYYmRQ55fhI+Nt+mcoEInk68eHa1554pZRh08goBn2rrhFYmeG+tmuKIwj73OFejnLULvGy+fmd+wKEL0+9Hx73+i6r7/Y8/osx93oyUuKIhtysMfkOOTTTfg6ov+ytr7UoGudyAo4s+vtWHncVcs9u0A9px0Ma+FX95UjsUTDPhgh/V/rlEQj+ZuH8sUpAPdOu9utmDotYnPlwgO71WPw2adFrxIS6eQBdtOUwkG2c24qeEQ5KIIpSk1bykefntLuCSRPoigskLQa4VUlV6m/X+FC4HBOQzt5Cr0lunhb7cnZw1YjpeD8ZLQSmmYxgqtxAl7kG5uPmnTYWolJuo0+G9nQ8aVPKVlG70ZgpH4/aYZNeq9JzIGH/2BYcJkcHIFs6AlIyXz5o0omZX6tvXbA6h7oT36c8n8POy0b8bl+YmBwSHXXjzd8QjsQSsrk9Bxvtr9NKbp5uKGottYe2I8yIo5K9LYR6tHl7GX4A2w/fAaObtuxEaYZIrNjB/0WPBUW+rAjr7NQrkU47T9Y8kfce3He72v4aTnCK6xT0JVn6ArV1D349HBubK6qawQSlk78yx4686H8d2G++DZJCLgEKAslaFooQGm4Tx2tXahyetDfhcwbjtQe5xkkDjkD9OgeNlDaC54Hi32T9LeqbWm61Bruuq0zmmRyYBZBh222hyMv6GXSjBVr2X/nkswLFoK+6b18He2nxnXgHwn2lpgWfEunN4g1h8eASFNqUcUJbDZC9HeORClxX3HAh4m1QjwnBTPr+nGrhMh3ZK+w1NLtx/f/ns9FozT9zsoiHgxEM0jcsr98WfoC+I8ZEq80mcQ76DvQucdyy4WFLBtwoEnBQeEk1oj3iofjOtaT0I/YH72c5LkRk7kJOeGuNKFwOAcBieVoPwXy9B6/yr4GsPqeYSgCF4lQ8n35kNRmYd3e15h8rcyqRYy8dKo0x/C/z/HqMOXywqZfS8x1IUMUWtQKILFX4GjTjdz+TudXu6N1tWnFRRwILlhMwRWbw99rkSjQdEll6Pj9ZfZz02P/B060wxo+vAJ3Z0+HPhDHZNIJqhK5Ki4tBA+MdHhsd5zgokIRbrY47kTW+xrERD9uLXkzoT3qIYUha5/upGF56AYnFnbnldIAXqlwRKTAQ0eL1ab7QlrZLoKNFndNaCsX9/FDvsmPNkRk9TtLLOhoiEvyUUyG4LUSpinTPIxyAgutDqj9dUo0zjUjqwAliduQmvyPw2qxMF1Zjj/3Rvanp20CMtOJyzbnfAtkoW0vdOgyboSA/MuBx/XddEfKCU85uad2455ZCBW8Yt70PXc03Bs23zGRMSel59Do2oAAhWZSy8cJ6DbXJ4iMBBQnXcp4yes3Jk5E0BSyKt2xTJ4uYL2+e3Li3Gw3oVDjR4WIFQUyLH9aP/5FvTENHaGJI4zgY6VPjfyiPnFIN42705/jByHvcZC3Fy2hJnfZYO2fCosx9/OcKA8VPnDIJHnptr6aeNCYHCOQ5qvQeUfL2epaJbSDgpQDMyHdkYNm2y22TewoICBczCnv6BoQFCoYA9FucKHb5T/NhoJU1lgt2NrEpkwIJTB6b8UQbES+33AfnsLTFIJbijOx5x+DJ4UdTuE/g8GBI1EjSJNK446E4l4JdfeCMfhg3AePoigy4n9v1gF03gdDMM17LwcdW50b7NC8IsxaeS7ayFTSJlSYTze7X01zK5IJbwjYrtjI5b5rkKpPMYk1C8eBuvK1KULBkGEcdmIlH8KOrxwbKlH0OqGxKhipR+JJnlVQJP+18uKmKDRql4rmjw+qJnAkZZNXrmy6QluwYVnOv+VcI77Jjdj4sYsRMxo4BEeIQURZqMST900mtki5wYBcp6ktYBqZS1uKbo95Van3B68e6wbkx/1MNvkhL2Hb035R7PhqziBwKDUYle+oIVZi+erc+MXnK+Q6PQouf1OBG76Itof+Ss8Rw+fUWlBImTvGqBOGZ6nBUSk/kQBpYhhBV9GgXosm7R94eftbIJus9ED1UyEKN7RkAKR2/9SB08/P5NJxDuDGTMOdIYVhXLwcff4KU8nnEJ62/jQGzkc0xqZq202KPNqoSocDXf3wTQdDiLyhp1e9uvTwIXA4DwAKdBFUtJ9J+EPzW8mpe0lnBUSSUhwhMz4jroPYJh6NPt5ofES7HJsSdhPQCiBzffVpNuBhF4eaelk9reUes3pWDmOiepQp0B/Qa2ObvF9yHkffML4aLsiL5ej9he/RtM//wrzxk3sae/dZWevvtANUmH0TwdCVapgffoLDkxG0z/eDnV4yCQoHeFD2wwVzIWpVx9UWthh34hL86+L/o6yMgVfnorup7YmEgnD/228fHTK78byzgHWmcCUBCnbExTR/eQWmG6YiLxwCajvtRutVbNXX1g9J9F7bD+E1W5wR6j6KYFqZCmMF42AsjaRG7HTvgn+OOlggqXAhdUXH8GC94ZDCBtehT40NHpqZ9ci/4aJTOTJ19ALTiaBZmIVDlXrYOs2hypX4YE2/ZqVjkvAeJ0bc40/xGjNhAQNhQj22l24v6EV09Yzkcu0XpEiH4Ri0/S0gQHBHzy9IPRcg7elCdaVK+DYtR2in8y2qmFctAyaSVOiQT3ZKZM0ctuRkBbJ6aLE2w5NwAGnNNPqlMP8kRMhyv0QBB90impUGBYw7ZNPo4MggqoiBZNI7gulnMdFU4x4Y2NMDK0/yESvod9fNDlxfPNnyKrG7zOX7SIonfp9tG37C+tiYHwD2oMYBMfLUTTh61AXnjsB7oXA4DyGLWhl3QKZQC18VFOPBAa0iqNug6c7/sGyBhRQuPwXhW+F1GlmImlN16vR7DsKe9DG+vVrlEMYOTEVqN2RrIcztTimAk1mfvigkb0GuXAAnuBUBIVicJwXKt1+jPuZBLZDg9G6sgeWgw54e0MrH7lRBsNQNYpm56FwuoENpKQo+MVXF0KxvxneyKjgC2L0znKM3F2GN27ZhabaUAo7HhRkuYRkxT3KCMgr82B57wDc+9tYhK8cUgTj8pHQTErMShCsHxxGz/Nhcaq4lkAKEnqe3Q5eLoFhCZV8MsPt78Le9r9A2ORG4Zuj2EzKhcsBjk2n4NhwkpEeDUuGRd/T7muFBJIkoak90xthLnBi0oZqVJ3MZ+cqr8iDcfkI6OYOZgGo6crEGs1lVIoqMGCDxY4uXwA6qQQFMimebO1iAWNksKVLLOd4/GhAOUZr70jYh08QWEZESr3kgoiHm9vZnVGerMmUAE6QQNqQOcuhlPXfnvhcg3PPLrQ9/GBoSRsuFXiOH0X70cPQzZnPvBIiwYF65Giox4yDa//e084aSCBgtnk9Piik5z4ZFO+OH6TGuAHEgUnNEK0uVjDvgXTOiacLMlVSpfEvIH8DsyOANXvtUf5BrtyDmxfl45lVPZFEGENkWJg6TIN5YxOzopVyE3gW5mbiYwEDFbnff7xMjfKZP4fHfBKO1m0QAx7IdeXQVc5ifzuXcCEwOI9B7XnZwIVlg+MxSTcDQ1QjsMm2BkddLdjsqc24D68o4K5T/4TAh9wWCeSJQNLEI9XjmMSwOdADncSAAYoaJo5EvgQURPQ3OGDHzAFyyVH26gtyTszFPfGaPYuQvz88wMQ926zGLoq47PlxePSutQjIE68NHW+BtDjlPtUjS9krG0hdsPfV9PVJQs/Lu1nXAvFI0sEfdGF7y28gtHpR/ub0UIY/njAWHuG6ntgMxeACKAeGMgfUZZGqVKJ0ydBT6GRBEblj/qHqn9ArszPwjVIpLilI3I6IrGssNhwKGxGRIyGVPCLkPWpj+8RsY3LOLaT/EN6GdAQc4dkkYvaYqUhBrZ2pwbHVq0GRnRF+LiPocKD9H38Bgn2e5XCAYF+3Gqqhw6GfOSdqyVzy7R+g+6VnYV/7CcRAhha4DJhh2QSzLA9bjdPAi0EInCSaDCOlQGo3zATyN6De/3X77Gc1e1BgSD8lUaqfNAeWTjQwh8ceewBKOYeNBxxpj4HGkkFlSiyfkofaUiXzdyCiIV1eKh8sm2xgIkfxZYSIMuRUTS221PdANOtCEWxJN6AN3e8UNJTJ8jBEmdoJNVtZgV7nMi4EBucxyHyIJmNi16cDrRoHKJNvQr3UiGWmK1Cr9GCzJXPWgaZLpyBD2JyPoTfQjUfa7k8yTaJJ9eqCW/Cjit/iv53/wnH3maU9Twvkpb6WdPJTD5qkEij3SjFsXwkOTEq0UKYJtclbD3fQFfVH6C+IDyI40wvEEASHF+6D7VCPTW2LS2ixrYYn0IP8rcNCmYJ0gkE8xzIUym+SBgQwXjsVK8yvR/884Hg+pq6pZeRDglcRQOM0JzRfOn0RH8ocXFqQx15J5yaK+EdzBzZaEzMvR5xuHHK6o+TKhhqggjSe0rHFeRGBQSdSJIKZKDiGF96WtjMmHQSfD6LHA16tBieVnhPKhmIgQ82f42BZ+X40MCBQaa3olq8g/6rrYN+4Ht3PP93vz6VenEu73sVE207sNEyCvWwYTAMrMGuUFmNq1DkRXb+4uBANHT7UtWepxecIMjgaOSB7S+7AUiV7RWDSdeOtTcny7Vz4dcN8E+Mo1Hd4WcahQC9lbo6LJhgweagmKSggkL5Dw9tDIXYHEu+98g5wUw9CqeDx3ZIl/b7/zhd89k/GBZw2KJU/z7AM7/a+nHKFSIOnmteyiSIdDDm1Z1F8nFiTj3xeXyfF7kAHHm3/P3y15Hv4fvmvmU4AKSiSj8IR1wGst63Cpw2lWwa+N/NKiiadkmZDUmBA2OHYiFZfI35Y8Ru2+o6AMiCkMLjJtpppA+gkeqYuON94EfNHiO47S1AQQdCVebtW+zp2pVWnTNHyQeqTEeE+FGvTrFAMwGj1RBxw7caw3SVY9toopkUQgcIrxaD1BrSceg/lv7kYEnWy2VAmrwFXMIgCmYwFB6mwyepICgrYYfb598A4YNqGUPyWqqTACRwGXjYEDfIqOHwN0d9TvXtowS2sba4/NXzzW6/DsWMrW41TC6x+9jzkXXolpMbMqpOfJrynjmfeQBSZqyIpf3J9CKgSjRbGJRfBuXsH3ERITNOxoBo+Cu6jh1L+vczbhrLOdzDgx4shKyzq17GTZfFvvljOpJCf/6TnjMoKNL/etqwwOklbHAFmzrTpoB1un8C6EhZPNGDiEE1S0EL2zeTb8PZmC9NWiJQX9BoJbr+kCKV5ctz1n0Z0mGNjQrc1gAP1boypUeHH15ZBJo3ts8cWwD3PNMPlie8NCqO1GMZNebjnlgoUy3PjXZ2PuBAYnOdYnHcpTrgP47B7XwIJkUh0Ek6Kb5T+MKkvPx5FchkGqRTMiz59RjAIueRgv47rpa4nMVYzmUkl04swTjMFRfISrDS/xSZZwtnSO4iAznugekjW7ehzBQkpmwGSAI+gNEaNp3IClUfIiZGuL6HOcxwPt9zH1B7jOR4fmN/CFvs6liEhFUiCrDhZXjWdcVMm+INhcmXadHp6UMvlMycfxuw386JZknhQa6CvxcrElwpuiplSpQP5NLzc0YN6TyiYoTBlil6LL5Tko1CeeH+RJkMuWkpuDfDm9cAVL4Z4ppHggIyV6JR9N+lQPmYQynE/HL5meANmKKQmaOM6RnKB58RxtPzp3lDaPTw5ki6GdfUqOHZuQ+Wvfwep6bMRlfF3d2cvktNMl2FlWnLHd9HywH3wNdYniQDo5y+C6err0fK7u9NqIZiuvLbfQUEEclnIaXHqMC0efLWdZQ/6q6MllwJ3XFqCCYNDGazGTi9++2wLnB7yEQltY3G4sa/OjZkjtazMEb/Kp0Dhurn5WD7FiF3HnXB6BRQbZRhbq2YBw91PN6PLkrhQiJQe9te58dLaHmYEFcH72ywsKEhZnhA5mNsVaGuSovjcrgacES4EBuc5SAv/jrKfYLNtLdZaV6LD3wo5p2A8ggWGi1Akz14T/0JJAe6tC62cUz0LKuka8Fz/5HSpvHHEtQ8jNePhF3xo97eG3P4MS1mWo5nS9YIbT7Y/DLvQP8vWCJROGUbtKmcrf8oANA7uQf1YG0x5xXBUCdA08WnnVF7gWM39G3+cB41TgYAkiCNj27B9dj3rWKBgZb11FfOMoIzMCvMbKfdDegjWgBnPdjyKO8t/zn6nGFQIGQlTkX1xqs/niPRngKIm82SklhXDG7TANbgHsi5NxlJC35KEklfi2hMXo1vYmv4DBBG2j44i/7oJ4DIoGxLxkCSE46cmml622RysNPD72opocEDdGA2e9NLcfdFUDTzxLWD0bmDgCfpegNZKoG2aFD+fHiN2aeUV7NVfUGdK+6MPM6Z/UpuYICBos6LruadQeucP8b+GbeM6eE+FTKfSguehGj6ScQsytTNScEOZA/uWjYy3IC8uhX7ufChrQ3bL5T/9FTr+80+4Dx0EwhK+0oJCmC69khEcsyHodMC+eQP87e3glUpoJ09jnRMRFBhkuO8rFTjW4sHOY068t9WScwbBFwBeWNODUQNVjHj4p5fa2MQcHy9FJumNBx3MhZGCkb7QqiSYMyaRREiBytHmDDbbIvDRTiuumW1inQ+EdftsGXkTFJNsOODAuNpzw0/j08CFwOBzAMoMzDIsZK/TwXCNignoPNbamWAuI+NESCUroZSsj/3OK0FRq55NEp2lNviU6QmQHb42nPAcxTrrStZbT6BWRkq9k+vfZtuarEEBBRMTtNNQoxiC98yvRTsGag8X4uKXxoIPxgbMoftL4Frpw+tf3oGumRpc8kLIxrgvqF2PFtBDDpREV9LSoAQj9pRh6P5SvPqV7WirtDIexceW99IGBdH9QWAZmy5/OwplJazuWPT1Wcy0iI0w8aMMTw52HAq/NjNrfbLCsAhmz2HYpjTCsLkqpMyWhqpnWJrY4XDQuRutx9ajitNAksHMSHD5ELR7IM1Lzacg6eD/tHay/+47VtK47wgG8cbBJly5uwP29SeZWdN3DQpsnViKLZPK4JenLjdoJXyUhOjUAVvmhF6EIWolvl9ZAvlZcDh0HzmIQFfo+FNCEODctQMBi5n5EpxNUPrfsuIdWFd/jIDNAk4qg2b8BJguuwqywmL0vJyDe6kgwLikjzpUChBfgiZrevWFdc1H6Hn1RQiOWHlHmp+Pwlu/Ds3IULdSJtjWr0HXfx8PZVzoOxFFmN99E5pxE1H8zTvBK0LlNrqfyW+AXqRF8MDLbfAFcgsRuyx+vLvFgkFliozyxQQKOqh1MRcexOFGd9bOBdJGoCzFkLBXgjNaQkgNepxtrtMjfZ4vuBAYXADDWJ0aDw8ZgINON6sjk6BOu+9DrLSGggJJgMPMVUMwdlslZP7QYB+QBrF/UjPWLzmGgDz5YXq790WmTRBfKiB9g3d6X0aLr4lZJ2crJZB6HpEZW31N0aCgoF2LS14Yx1b9fSdKlVOGq5+cgCe+vx4bFh3DrI+GQOAF1o0gcCILBMjqWBqQJKXXIx0LF784Fo//cB2UElXWoCAeRFqkwIAdx7BiVNyznLUsxtf/VcNLkH/TpCTtAX+3A74mCzi5hCktko5AsXYaWmxr0Jt/AB037EXxi2NDwUF4oqfOAro+xd+aw7QWIqBA7MWuJzBHMhRVyL6qYaqMabDV6oAnw/KppNWOmc/uh5W0GsLbGaxeLF5dj9EHu/D4LWPgVSbv/4YiEypVCmyy2NHmpXsEqFEpMNWgRY0qN/nYXOBrbsre00Z1/LbWsxoYBKwWNP36LgStscCX/AocmzbAsXkj8q64GkFrMmEuFTr/808Uff1b0Izuv3245aMP0P3sU8nH19uLtgf/gPK7fsW6HtLBuXc3Oh//V+wXcd0Tzn270fHo31H6nR8lvY8Cg7/cMQCvrO3B6r3ZNU3o1vlotxX+oC5rG2SvPYheW4BlKT4N5Oul6LKmn/gpNiLy4ucZFwKD/4/Q6m3CJtsn6PR3QC1RY6J2Okaqx0f1CPiIwA49fP5uPNP1arQeffmzE1jve/xkSpPr2K1VKGjX4bVbd4Rq9nHw9RHZiccux2bWVZGNX0AEP9JNoIkuYv88YdOA0HGlWD2TcI/KKcfwvWXYNq8OJ0Z0Ysz2ShZM+OVB1A3pwrz3hycFBbH3c9BbVRh4vAj6CdXYE3aizAWSPo+TclAhyn99EQI9TmbdLDWqmJJlPPxdDnQ9vhmuPbHOEPJTyLtsNIyXjcb40h/jRO/LaB75EZq+twH6bZVQnyyEjNfBOHY4DEtGQF4SS5/S90b8DsLxke1MsyAteA6qESXgM5AP231+ZjKUKi/ECSJufO0wZOQlIfZhg1N3V6eTBQjvXhRrKaQ7jVoaZ+XpoeR5DFWfnjFUriCSYS6N7mTWlQ6C2w1P/Sm2H8WAgaz84Ny5HYLXA3lZOTQTp7BOgQgoeGv5470JQUECaMX9ZlitNAcEHXa0/eVPqPj5PdHSQC4QPB70vPJC2mMgdL/4LCrv/n3affS++Wr6wCqcbSFip6I8Wf/PpJPiG5cUY8F4A/74YmvWlbjDLeSu+JxjM8DwKlXWr18p45iwUgSLJhjw4pqetO+jY6QWx88zLgQG/x+ABqq3el7ASsvb0cmV/iU55QGKWny77GfQSBK1AUiHILKarz1chOoTBWkn0sp6E0vjHx4XchDMBfT55HAY8itLPRrQ5xfKQv3UxEmIaCIMOlQMSRbN/5ojhdg7tQm9RU6suTgmZ1zcooc0rvyQCpRhKO3IwwD12JwDA+J6DFalXnn58zhsk+zEbuc2+Jq8qFRUY7ZhMUpchWj+1bsI2hJroNTV0PPCTgSsHhR+cQqGFtyMQaZrYS9vBMYAOvkAZnmbCtQxEWnva6uworGmBxV1eTGlw4QPIpIah/a/r4XUoIJ2Vk1UCyECjYTul9QYdMqMPGv6VjUiE07Y24GPFlTDp5Cy/RilEvxiYDkLCph89uY6WFccgreuB5Dy0IyvYMZgytqzI1ykGTseXfFuPCkgMRjZhJ+qtbHntRdhW/0RRF84yI1MkvQv7TcYBK/WoPjrd7DUekSciAyLMqI/4kS0rSiySbrshz/L+W22jWshejO0EooivHUnmXupvCSZixQw97K/ZwTPw7ljW8rAIALSRZg6XINPdmfOHFCmgHgGK7ZnLi8WGqQs6MgFA0sUGFKhxIkWT0reAH2NiyYaovwCwpKJBqzfb0drT2qPhfnjdKgtO3tZrXMR54bp+AV8qthg+5gFBYTI5Br5l1oJH2//a9J7uv2d0bB89I4KVpdPB/rb6O39I4bR5xM3Il1QQKCgZGaYN6HgYg8iT84+GUABhdSf+tamMkJWiBxm5i/GIFVMTTAbZusXQy1JTtu3+Vrwm4Yf4KXuJ3HMfZA5T260fYL7mu7C7pfeCAUFaVL11vcPwtcaGiQlvAJG5WD2ShcUEKjkEl2+c8DbN+1B08CQjGyQFxAkfkXc8t69rxWODadgef8gmn/2Dtr+vDrBTZIcB9OhrN2BYBYPBXlAwHwfx6yOv1NRjL8NqUa5Qs6Cgs7HNqHjb2vhOdHNFCFFTwCOrQ1o/uW7sG88hbMBaZ4JeiLXZahHU82/bysgkRbb/vYgkymOBgXsD2Ls33BaXXC72Lbu4yFBLte+3TkenDTjcSVAEJjaYdCZm5EQOTKmKiGkQrqSBmVEsoLjWGYiG/J1spzaH8fXalCcJ2MEv3S4ZFpu/IIIvndlSZJwUmT/o6tVuH5uiAQccPfCWrcKnob38OOlXUzTgYKVCDRKHtfPM+Fry0+vg+N8woWMweccgijgA/Ob6f8OAUfc+9HsbWD97xFoJLropG3oVadecYZBfzOY+ycGRJN3vrQIxfJSHHcfTiop0N9JdpnKHQTSYmg3t7DtOsvsKGs0pi0HUKDSUZ5aQ7+n0AGbwQ2dVZmWyEf7LZs8GnK5IUnAKRWUnApVipqk3wfEAP7eeh/TPEg4PjJvFQDNJhcgZHgEeQ72tSeQf2NoJZoL5LwigbfhUwbw2ld2oLhZj+G7SzFqdwV4XwpCYPjyO7fVo/MJGYq/EZLCpW6DBXl6pmKYssEiB9m7GyqKoKhIrN87NtXBvvpY+LOT6ecdj6yDangxpKYzZ34XfuHLbPJ2bN0cWuXHG9dcdhX0CxYnvYdpAxzYm9sHhDMIvW+9jrLv/wTO/ftyepusoCjUQhjZRw6g8yDH0UwgTYOOfz+S8z4pY5IK0rx8cHJ5YmDUF8EgK6dkA3ECssHuFhhZ8a7rS1m7otURjN5zEVVGsnGmFX1/YNJLcf9Xq7B2nw3r9tthdwVRlCfDovF6TBmmpdwlOvc8DVv9x7FskCjgIoUR13zhDnSLg0GSHQNLlAl6B59nXAgMPufo8LfBHOjOmtY/6NqTGBjw2ujk4tL6YGTBQeqHgvktaHIT9Yl/z1T9bEzVzcEbPc+xVTRZHkfS8tN083B1wc3svwmzDYuw2roCHsGDPdMaoip+qUATI7kJRs8vwGHQ4WIM2V/MxH0sJhfjEaS+GBzUEyohLzMw4qQjmCzU0xde0YOnO/+BnkAnlpuujv5+j2Mbk4pOBZlPCrkv++NH/IT+YJxmMrbZY10kEXRU2FgXBmVS0gVEDCJgX3MC+ddOgNQUCvZuLStk7/jYHApw+DDpcPbm5qwpR4lJDXl58kBuWXEwMymQmN+fHIPpGjLTOjNwMhlKvvldeC+5grXcBe12yAoKoZs1F7L81CUy29pPoloAOUEQWCDR9dyT8DX0tSpODe3U6VANG4Hu5/8LX1NDTuch0WefFM3vvZWbiQDHQTGwNmUZIcK7oGtkW/Nx6utAniRyBbRTkjshUlatcricQUFEWb4cD36jinkibDpkh9srMPnixRMMGFWtOi21QWqDXDbZyF590bHzP7A3ro1Fx2Lo36DXCtuu+1Ez5x4oTblzOz4PuBAYfM5BdfycrEkDvaylkKSA6zwnoqUHwqHxLShvyKwOd2hC6ppqKg4BTUxEPJyimwU5L8f1hbfiUtN1aPSeYgED+S2oJVrm8bDHsR0HXbvZeczSL2R6DcdGdeDA8RamYRDpNCBEXAM/ueQwcxMkaGwKXPPkJOR3aaPbxpdF2Htoegu7q9AqteRbob65Y66D8MYJGqW/fqGB5N3eV5iIU5kiVG+lTEyE09EXflmQaSdQm2RacLSay72WaQsEwYsjoOHGwinQxBv33YuhklCmzE9sW5FZfBsWDWU/8v4grq+zY+mJbrRRC161EdUvHADvzz5p5l0+JtqDT+WD7TYn80+44VQPJJkmLkGEZdUR+Dvt0E4bCPW48oy9/LlAUTmAvXKBv6sr96AgDrbVH+e2Ic/DMH8R64Souvd+uI4dRusf703/mTwP3cw5CSTHeC4AlQ4CvT3gNdrcDZZ4HgU33pJxk/wrr4X7wD74u/tcj3DbYvFXb4+2K2bC4HIFVmdIwNATTKt4KicQNEoJLp5qZK9PEz57K+yNa9L8VWSvnsOvonxm7tyOzwMuBAafEzR4TmKN9UOc8hxljoqjNOOZmBCR9+ScPGOHAE3c9N411pUpJY6OjGnDxI3VyOtRh1r64sFzcBp9ODi+hQUBoWkytA81p2GTYrxaYOjzRFiCvfhn2wO4rfg70EkNrD4fcYAkUGnjn21/YituOp/QUYqQQYoh6pHYeW0nLLUBjN9cCXUzB5ET0DCoBztm1cdcE0XqphjPjpsdajiAiJ8c6wd3o8YwDHp9AbQzahhLP7IiiWgv5AoKAojPcV3hl6NlnLTXXCIyQSXSTki6phEERahmJpco+sIRCOLpti4mRRyqel8LDpdCIdkEtXQNOE5g6o5KT24tVnSZfN7Qd+Y62Ib2P69m3g5UcDVBhCnsFJn2/cx+mYN1VhNcY+zgPHLoFTVMJ2O12R7ySuA5SLKUIQSrB/YNp2Bfd5KJQZX9dAkk+rND+iIOgefUCQh2G1M9lFdVJ6xEJXo9/O2t/XcwzHH7km99P6E9Uj1kOJuku59L4XvA8yxTYLrimj4fJcL89uvofeu1BLXDXI6BU6pQ9r0fQzU4FPxlEk+q+PXv0Pvma7CtXx0lM1KLI5Vh1MNH5nS+M0bq8OzHPUzeONXh0a+WTwk5o+YCmzOI4y0e9j4KOgya05vKHC2bQxbI6Z5VUYC7cy+CPgck8uzmbZ8XXAgMPgf42PweXut5JmF12mVpx1rrh/hGyQ8xQ7+AqSJmIvqFkHpAIY2CV27bjoteHoMBp/KjEz8N/r0DvDjyJQ8kMgV8YuJE6hKdGdPWJOX8l9Z78dPKP0Rlm3v8nXiz+wXsdG5mJYDqUwVMm8Bu8KC52gw/72ckPvbZY7uxbewRqEU13PCw4CAelOUoaU2feqXzoBLJ5jvacEvJ5Ul/L5JlV42MB137EPkvhIHKwdhipxRlamybW4chB0sh9SV7BZAs8IERhXhL6scPSLsgzYDpCQq4p64FrV5fwrcrQglPcD7UogmVsldhlAoQZAHw/uyPPLUaPi17ElMOLUT5Hy0QA2EyYo5SdvTd+A1u9Cw7BM7Jo925BV7Nj7DaHGrxor0cq83DsGOUNciys3Dw4K3vRdtDnzBtiDOFY8c2dL/4DAK0Cg5DXl6BgptvjU50+llz4SH/gU8BxXd8F9qJk9l/C14v7Fs2wbl7O9Nc4Ig/QEZP/pixkjS/AKYrr0sqI1g/XoneN16J/aKvQ2MG5F1yOStj5AKJVofCm7+Mguu/gIDNyjIEEm3/Jkli/f/w2hL88cU2BINilG8b4Q7MGKFlXgjZQGWFJ1d2YcN+e8I+Zo3S4ctLC6MZh74Q2QS/H7aGNfC7uiBVGKGrmo2Al8pj2YMRwe+8EBhcwPmDY+5DLCggxKes6b9pxfpo+0P4ZeUDOOk5ylr+TteXgHgGRGIzdWpQWWdiMURLtRndJeEafNpScegPCreU1bg1dgWcWi+Oj+qAR+1Hm68ZuxxbMFU3G93+Dvyp6ZdwCg6M3FmOOR8OgcoVS51ajW58cukh1A3tDu83tG835w5nKxLFkqqPFTImfrrWRprATN1aeHo6gRTuqdRWWC6vQquvOYegKrQ/JR/jLkzWzWL8Ca9AK5vkC2TJd2Hd7cMw+vkWFHe5ohbExPTfPqEEKxbXIGhz4pjLg6Ga1JyIVb1WtHjTSRBz6BXGYYZvO2oO+RHQeyHrkWQM1ui+seV5cKq6A4Pe3IvSYMXpWDWAC2dnItdtRS8FifrocW6YXoERR3uy2i7HDkyE50gHPCe7zqiV0b51Ezr++bek3/taW9D6wO9R/pNfsglTO3UGel9/maXpzzaU4VU6pf87n34cYhb2f6CnG52P/R3WVStQ9oO72Co+0kp5WuD5UKdGP0EcB6nByESP/B1tTBpZM2FyTsJQBxtc+GCbFQoZB3+cnUN1sQJLJhkwbbg2a6cBGSTd90ILTrZ6Exp56L83HLCjpcfHzI36EgRFIYD2bX+Bs21HNDvg5Xg423dAqiogicrMB89LIVF8fg2TUuFCYHCeg9z+0tWxCVSb3+nYhB+U382yBmQM1JuFZZ8JpAtAr5whAhM3DsDMVYMhCfLM04AUCxe8NxybFpzAjjn12GZbzwKDl7uehktwYtT2cix+a2TSZKqzKJnQ0htf3ImGwTFSX6h4EYRJWsBkjCOQZGlrjMCA1A89rdK/UPQN/LnlHsrqp73G0eMQRUxpHI2e9bvYeRNf4Rs1P8QjHfczvkTk/RHexRTtbGzwl2HN14tR0WJngkABKc9W0y5NKCCikGatxZ42MPjIbM0Y6pV02DDmhWFQO2KTdCTVn3T8dBWlIt6/bh/74CH7S1j3RH8h8gK8ZbFedEHk0CsmZl+aKvR4/dIhuPL/sXcdYG5UV/fMqPeVtnev193rXrGNDbbpoXcIEAiBhADpCYSQ0BKSQBLIHyAJqXRCC92AjW1w773b23tT75r5v/tGWkm7artemxIdf/q8kkajNyNp3n33nnvOO4fY+BO5Kw4Ala22NQ05MCBJ36QtfOH8NvkmlD/wG3gPHTghQQGh+6VnoZ99Ctr/+kRmLwjX9n31tWj9v9/DcskVaH/yMYiewfmXRMCrNZBpB9/tQUqHHU8/hZDDHi5biOh87l/MqCn/6uuT2li/+kkPXv20J458yCgKITDfgw822/CXdzqgkHHMBpnMkMpjBIciICLi4ebEugwUHFDAQNss6ueX0L33Jbhat0p3IiWD8P/UopgSHA9D2Xzw8i+3bkF/ZAODLziIIJdqwqKL/UHPXpxjuQRnmi9gt5XW9/Fq1zPD6mqYDCShvGhZVA9ARjny8KR96kdjEFQI6DrNDmuwh5EMZQEOC5dJ7oj9Jy/i0xPPYNF74/DMnWsHLDVJeTC2Va+tzJZWCMmj9WNqhdSalwgj1NX4UdlDTCCKOjeSwdytw8XPz4SxowW9MknoqfcNEeoSI+76zn34VPspy4y07+1C90dOWPe4sLbrr/CLf4GysAhNk6ch76xzoS6Jn0Dpk7WRRn0CkP1xFznQJIHKG8SNz++FOjx/SFmVKGJX63ReD05qxcbTj0mBn4g+6evBgiyi7XOjJZUwNXSAbMr2KYWorTRh5vY2VNXbUNmUuMU0uiMuTmNhsHDv2SVNaqmkkRsb4G9qkOr2qWrPxwFqm3Tv29cnRJUxiBdx6ADLbAymbDBgN24XUyzMpJsgAs+hA2h97JEofyEyw5MR18cfAcEgCm68ZcDrdh5zs6Ag9iWxf7+3ydbXQOELiFi928FaCn9wWXGf22IEK3fYUzZb0HO0TWxgIAS9sNUm5k6Ft0h+0BwPmdIAy/jL8b+GbGDwPwgNrz0pQQFxBOatiMrhJsIpH1dj0+luVkagMVUdKoDKl5wkRwTCvE49k2HuKo5XUusMUk94NFo4Mr4Dbp0ParcyYasldSnsn9uBJSpJXTEZqI3z2yV3wRG0YbdrGyvdEDFRBhk7iwoPhyv/PgdaJ63ySfgmem4DbQ4ID2/GeQ9djC1P7cO6N0mZMB7ehnp263z/bRRefDmKr7imT3CHplJzv5UYZSaeb+vGu93WlJ/itF3t0LpJXTIJOKBhRDdWnL8PNosHgjxe15jaOomDkbK9MXZcnMB8HGyn1MFTHc3ocJyIYu4Y2sSREPsFB9YcNZafPgLyoICfP7YRvDdFF01IgGqEBUMFsfYzga+xkakXnkgIjqE5ijIcR1DAIJMxrYPYwIBq8N3uXehwbUFI9MGgrECJcRGUMmmSpbKKVL1LxBwUWXun+SsXxdk3C6KIl9Z1Z2JVEX1NeJ5+7PU2PHnnCOaYGEG3PZh2P139PA68PYchhtK3UhsrF8PduRtBdySbykFXNAN5k6+HQpu4pfXLjGxg8AXHGO0E7HFtT5o1oIv6GE08yYg6FmhSCyVUwE/eH7/DtXlQYyurs8RxBBKBmPLzmmZAVSClyrUOZdJUdyz0DlVcYBDNFESvHDTRkfLfpf+aCYS4PvZ/JChqGtGDtacexPbmexkB0iRPXSul7ol5ptMxyzCfrf7rfEfZeZy0uxgyR1MSPXkRfqsLt9xwE7Yc2dP3cHV1NRYtWoQ6Xo4dBw+hd+N6iH4f2l99Cf7ODoy4U7IBpk91kdkYFxT8tr4F253p08gTD6TWryDuQG6HHr0FibsvSFJ60fupWevKERb466QVob/EAeu8Orgmtw3I5kyWr0FrIHGQSJ+KTq1g7ZGO9/YlVoLkOPB6JfSzM2s3TASZKbM6Ma9O7pvwpUFMPd8XtGJry8Nw+uvBsWBXRCvW4HD3S5hYcCsKMAWeA5ThSAGeZ/wNy1cuYncPuDz4Y2MbeprjfTQyRSAoYvUuR1y7olkvmRslzRjQNoZ+CpYZZnxU5mrkT7sZfnsjyzIodIWQq09sq+T/jCSy3W7HPffcg3nz5mHu3Lm466672GMR9Pb24o477sC0adOwePFivPnmm8P59v+TWGw6N2UpgWSH5xvj7Zj1MiNOM52T0f4jgcWVeTdJ/f6DgNqTWdx5oGs79rqkNL3T6Mtoheo0xhO2kmVAWiqtePb2dUzwyKsJICQT0F3gxMfn78frN2xFQBGEI2THh71R3YZ0UPBKzDEuxKV5X0O58hJ41jpSrmRebl3XFxTwPI+f/OQneOedd9j/v/nedzH1h3dhwuNPQV0hGR71rv4YncveYWfhFJMeozTSREWCS//XtCKjoKC80Y7KRnvaM6kISeWXRNg1pxEdI1wp2YFkIV34nUWwPD0bzd/aANeUgUEBXWaqlF24rlC60Pb/FpEfw09HlCD/smlQVeUOfD1ZVct5FH9vMTiSoBsitJOmgtekNm1SFBZBUzMZXApTpS88QqG+jgSaOLexoEAq/RBXRwpHJd7Ono6n0G3fmZk0ctjWud7rwy/rWtAb6WYZCjjiDMT/xk+bYkydMcBAcyN1TpVUEkoDEjDiOB4qUyU0uWP/p4OCYQ8MfvGLX+DAgQP461//ir///e84evQofvazn/U9f/fdd8PhcODll1/Gt771Lfbcrl2ZyYdmkRjU039priRSEjtx09+kGnhr0fdhkg/8kl+cdw0WGs/sqz1LWgHxoEdJmfBbxT+GSWHGTP28QQUHVktm5Kjd+n3MoplQN6YTHk28VXP/9H9HkR1dhf0VCZPPXsT+p0DgyXs+xuP3f4Rn7lzHVsOR1DkFVmQ+lEp3oD/qPD7cebAOf2hsg99JwUxiuEM+vNERzbR897vfxU033cQChIAg4pX2btiCISgLClH9s/v72sDaXnoeE2UcTjXp2aWaSKR/bnkEG+3p3Qh1Lh9ueHFP+m4CnoNyhJl9pv2DA7pPas15dy2C+aIpbLWeCL7aHrQ/vhpYEcKEAqox034i3xFpn0qZATNK7sF5+Xn43agKnJVrwhitGjU6Db5WnIfHx1SiUq0Cr1YwN0qypZbnSfVlsp82nFqN8ocvYBoTxwMSB8q94tqU2+RddR1kSpXE2j9OQaWUkH9Gtr08z3QbdNMkme3Onk1w+El1MXnGsVFczcoPKSEIfWWENzp6ERLDv2DiiQ5BRZh9i/oZJsyv0aOyUJnQR4EeqyhQsrbFWMhURujL5iUPDjgeastYqEwVgx/klxjDVkpwu9344IMP8OKLL6KmpoY99tOf/hTXXnstfD4f2tvbsXLlSqxYsQJlZWUYM2YMduzYgRdeeAGTJ08ermH8T2KJ+Txm+ENdB0e9B9gkP0k3HQtNZyAv7E7YH2S1fFXBTViScy7WWt+GI2RDvrIUY7WzWK2eJgvKFBhjggoS7mn2N7BbsosIm1AgMF2CUIUKruIQdG2yhOlEmuR7c11oLYuauBArfvU5B3D265MGlBRoe8Lqcw8muNgcH2eCZI29giehEVJ/9AaCeLC2GZ5wQbQjTwuTzZuwJ3+How5uQWJSl5SU4Otf/7o0WlHEn5rasMnu6hu5MjcPeWeei3Zqk3PYsXrFcuw5bQmMMhlmmTqxz70XIfGKtOMjMp8yEEp/PRZEGEuL8Z3m2/B26Qc4jLB3AcBcNy/JuxajyDHySrCJuvPpdQP3EV7C9by0FbmKWaip/zpcvhZ4S3oQnBlEft40FBnmQ85LrO5StRI3FCfvKuBVcpjPn8RuJELEZHeHIIGbDKQ2SCeG7IiFGEMi8gvIv+6mvgnTcuFlTEEw0NE+JAXEdDDMnQ/HmmSKeycIVI7R6VD8/bsYh4W6NOo2/B2gCk+SeZ86WXp8e1Eydx7c6zckPRe0P/3c+SzY3WR3RsMM2nfmpqt9oGrSlJHx/itKOY97ry3FX97twJaD0d8NgYiKt55XAKViYACQP/lr8NsaWJlgwHWCFgO8DJ7uQ9DkSqTnLIYxMKAV0J///GeMHx9vPRsKheByubBz504UFxezoCCCGTNm4C9/+ctwDeF/GpXqalyv/tagXtNsX8XqiNqQFewn6NqCdvceTMi/GUb1QBtaaiUcq5kIv+CHPdTLmOw5MjPr15dzCnQG2piJzxTdTIzV1LALuve2TjQ/8D5EEseJqR3TJC/yIj66iKR7499n3/QWCDKRdSfoHdE2IWuuCyvO34/GkYlbjFK1baYDdTSowpNXKgRFkakMumIukJtmFGPckcRjOuJu7/t7yZIlkIeJhEc8Pmy0D2z7NEyZxgIDgmP7VuSetgT2UAgreizQyjIzUxp7uBccm7DTT6j2FQeBFcAFylFQnn8mfOdZYJSbUaCM746wfXQgLYm++9nNUtqfCK6CCdx7cpi/NxbyqUNr9TpeCeRkMJ22FMb5i+DesxNBu6R8qJ1QE+ewSJmbsp89yLoT7J98nNq+OFOE+/XII4FTKgb4GXT7A3i7tRNbrHa0eX3s95WrVGKCQYezCnMxwXCcAju8jOkgqMrK+4Segt7UVsgRmC+6CL5dexByORMGB3nXXM/MnTxBasuNAXFFpxBhJfMmDFr9m3QyZtXcH0RGpI6FTlsABxulUgPZKhfkJM/AkDBR2aIHYD26DD37X6W+1b7nrAoV9sEG74G/Y1TFYiwoXQIln6XeDdsZUKvVWLhQ0piP4JlnnsHYsWNhsVjQ2dmJgoJ4u8rc3FyWScji5KPB+gEOdP1zwON2Xy02Nf8Cc8oehCHGVGmt7WO80Pl0X0ZAAseChSn6mShXDQwkCOrR+Si9/1zs//fbMMQQvYn4t+asw6ylMBFILpja50rrzIzASMqHbNsUcx1zLewnctT/frKAggiFMi51urTZ68fD9S3oCsQznw+NMmPnxHxM3isxmmOHaAtGiX0VFdF05afWsDRwv/dQWCQLWIL72JG459yhMyHjGhESKbhOfiLkIek8DAaiPwTfa4dhDk1G7lUDFfECzbbMkjIxwZ/oD6L10RWo+PWFUJad+JottW+SGBQ1hVRpVLAo5CnFenTTZqbcHwUH+dfegLwrroG/qxONd39/yGPjDUaoq6pZxkI7ZRoaf3FXXFCwvseK3x+ph7ufumSL18duyzt7cF5hHm6tKoNsqBkUUYBjzSdQV43qE1hSUmUq1e5EQCU3Q51XzqSRu158ljlPRsZOnAzSVTDMmcfua2U8NDwHTyyBlKgz9LUmbymKnzlgYrUGE3QavPJJT5/6YQQGrQw/vaaEZQiSId+kYLdMQToEIS/Zj0vnl/Jpb5dUY6tFKk/RVeJj3xE8X9eAWwuWYLY+vRT5lxmDCgy8Xm/SiTw/Px9abTT189xzz+H999/H3/72N3bf4/FA2c8AhO77U1l6ZnFCEBTcONT9XJJnScs8iENdz2NG6U/ZI0c8B/B851/Z3/GTrAi34MYfm3+FB0f8MU71LxbqkXl4/cZt8PXYoXWo4Nb74DSlX4GRpUHTyF42cVOLJSekn+Qjds4EcpWMdl4kXq4Qv0LBKXG2+aLEZ0MU0eILwB4K4vGGdjgStYpxHF69cCxaC3WYv7EZBpckZ+vQKdBangOEu+RiU+JkeJToSGItbmkyiocaCr4OoZC04ksMEU1lHAo7kis+pkLvW7thOnsC5DnxnyWnlA1eQ0AMmyG9txcFt8xPuElQELHZ4cROh5tlY0Zq1FhoNkCfrqbdbx8vtHfhox47AuEJi870HKMeN5Xkw3gchEW2L4WCeSrwRhME+xDaDDmOqQPSaj36WPSz2Wlz4FcHa/uCxBFaNWblmKDkORxwurDN6mCn8t12qcvktpGpPv8UEATmLkklEwJpOhgOAz2nh09YogBBBIrFWUxCOmS3M4vlnHO+gi4R2MYrETQYUapWYaYgQs5zTL1wsdnEjLLiQhwq/YcrxvQ23xpTgDylAqdM0GPFdjuOtXpZIDBzjI7xBMgNcTghhPyw16/s06V4q7Qa28xFEMO/SSpaElyCH39oW4aflVyAidpodvt/DYMKDKgccP311yd87oknnsDSpUvZ388//zweeughRjZcsEASj1GpVAOCALpPmYYsTi7anRshhC2Ok9UVuz274A32QC23YLn1naRpetrWJTiw2bGWWSP3PU4Tqr+R+SHsce1AN6ktGqWug8GCgoHzLJfjla4kqnUxoDF2BRMFr4kDCpMsB98q+dGA1DmNf5XVgdc7etDZL0MQsxGTMjbZfXBqFUzmd93cMph7SaIZ6DFr0PHfBiCsi3TkyBF4a7tg+/AAFu9rxXSIODAmF5unFcFhlFjw3qaGuCBBdDjB9aWQ6fzTbyhVmYDDhmkjMWtLBkzyRBBEODfUIufs+KyBfs4IZoM8pP1tqksYGJC/w6/qpAxMZBpYa3PipfZufKe8CDOM6fke9DkRAXSbI77mTH9TrbvB58MvR5ZDIxv6ROPavhWt//e7wRsqRQfJbJVDLhdLtxNU5RXwN9TBFxLwhyP1fb+sq0oL8dXy4rggcrvVjocO1sIrCCw4mJ+bgymmMMkuE3vlGAjeKNOfyIKy+loUvC2g46J+GlThzl91Cw88+yFsomRkFpTJ8N8gjx0Tp4HjQuC9vSz0Nsh43FZWiGkGHS7MN2Oz3ck+10SFvcsLLCwoIJDF8nVLT7xOQNDd1adn0KNQYau5KK5lsz/+07MJ92cDg8wwZ84cHDyYWviDuhF++9vf4sc//jFuuOGGvscLCwvR1RXfV033KdPwv46Aqx2ebum8anLHQaGLL7kMN2jCl/qVU68AfcFeFhjsc+9MW7v/qPctzDcuZqTGLY51eLvnP4xzQAgJFgSF6WzSkvP1kPGp++sjoGCEgoJrC27BPOPpMMpNeLb9KfjEYaj3hkEujx5B6p4QBRG+2m4I3gCWywW8EEjeVTGi3obz3z+Mwq7oNqTAvHtCPt45ZxS8aumnZZg4qY979f5b7+LSfcXQKtTQCiLjdZAM8oINTXjmqomoq8xB76qP497n+7/7FK01I/DJ/DK0FBsgvSr5BU3pD+HsFQ19pYSMvQhi4NraCNOZ41krYgSRLoGhgJUp6nvgPdTBCsiaicUQC/R4qLYZ1nBLW+y3yy+K+H1DK35VXY7KcKtmMux2ebDVkViim/bZ6gsw2ejz89Lr+Sfch9+P9qefGB4CohD9vWlrJsOx9hN80NGNTr8UpE8zGXBdRcmAl03LMeKO6nI8cpi6B4BnG1ujgcEgg5VYASLjosVwbloP/V5A5gCs8wBPddju2wGYtgDGjQJ4Nmxp7K+dcyn2jJ0kqVD2PQo4QwIeqW/FL0YSgVmDB6rL8FxrF9b3OX4C+Qo5Ls63YLElvqXwZCBW0niPKT8l3UEkFVBvK3qDLpjlQ//ef5ExrCyLN954gwUFlCn42tck69kIpk6diubmZrS1taGoSKrrbN26lT3+v4qQz472bX+Gu21b3OO64pkomP7NE+bmRWpmmZgCKWWSIAzp/KdDV7ADr3U9i0JlCV7q/Dt7TBA1cAUuRUCISiIT5Nxh6JWvgef6txxGYZKZMU0/h3VWFClL2WPT9XOZBsNjzQ9guEClhHd7XkXRkavR85/tCHZLkwxRaK+vNuPds6rRbdEMCApufG7XAH1/uj9lbydG1lnxxC3T4dIpYRk1FiPLq3CssRY2twOPNbyHH4+4APIwn4FeQ6p/1728F3dN6IWN6rcxEAQB4w91YfyhbvznygloH2+DL8XHcembBzGqNtrlMZRqtGd3C9qe+ASHrpmKj4gI5w/g66sPgdZ1Q6pu8xwafxKvWeKZVATPmSMgaBLXienUvtdtxbfKUqtSruq1J+RqxO5nRY99yIGBa+smCO409tsZrtopyIgUNci2mLC8M6rGeGVp8mNdlGvGS03taPR4sd/hQqvXh+LBCjFxHEyLz+i7q5lQA/2suXBu3gBNA9iNEgN04/wDP+sOSz52jycm4UBEAtDXOnrw0xGlyJHLcXt5Eb5WHEKrP8DKIuUqajUcvg6TwUCusUBpGgG/rR4emZyRcyNlhGRwCz6Y8b8ZGAxbIcdqteKBBx7AxRdfjPPOO4+RDSM36kwoLy9nZYUf/ehHTOvglVdeYSIv1M74vwgh6EPzpw/A3T5Qf9/Vtg3Nax5kdbETgUL9nAG6+fHgkKMeC40iD2tsKzIKIggrbcvwSqfkJy+Kcjj8NyEgjB6wXVAcCbv/ZohiclVEyjxQZ0N/NcIKVVWfRfNwgI5Nv8KJjqfW9AUFBLpkVB/rxa3/2MFKA9EXiPjKsiNsQu9/WYmUaYljcMH7RzBrZxvu+dMW3Kyay5QCCGutB/GjQ89ho+0wnEEvAkIQda52PH30fRz+55+h5OQwyaNcHQogZNS1J4i48o2D+FnRjUnXOvldbkw82J2ZIVEauNYew8rVB3DU42OrQXOne2hBAY02QSSj2tuOG5/fDVkSK2chXApIh2Tp6v7tpUOFr1FapadERqt2jskGR0CdEP4x43DMJX23dDIZJhiTLwSotDAzxxhHVhwsFEXFMJ5+Rtw+C269nREI+x4LAXyCoICwe9wk8DFZj/6gz2GX0wNnDA9HL5dhtFYt6VR8RkFBBJZxl7LfjsXvhZBmLDJwMGfQuvxlxbAFBmvXrmVaBpQ1oAAg9tbaKiVTKZug0+lwxRVXsNbGX/3qV/+zGgaOxk/gZzK6CS5rosAiW2dTgr7xQYJaCzfaP8HrXc/jne5X0OirYxmDkZZLkryCktA8Rudeg1rvYdaJkDmoOCFdhP2hSQgxR71ExC8ZBDEXvhCVFxKjN9iNv7Q9irtqb8V/u17oy1oQwZHKCqkDm8yhdiuw8IPEsr+kS6DyBbF0VXRyoNR/UZpJkp6bcKAbF759GLzDhymGStxecTZk4TEfcrfigWOv4crdj+GinY/ijoP/xPtd26HgZPhJ1YXIiUlfqsKtU8xU2huEdlsLZhv0CY9+/MFuhD2qjhtUFpm9paUvBCHXxyEjwcTJCyJK2lyYuD95WSlCJEwFszxyVpPjeMiH3mNHMTwQYf9kJQIxhNKOKTP7zu8YvTZtt8E4QzRgPOhMk8VIACEUhK/2KONlROA9uB+Bdqnklw4etSajIKh/Z8XnBfqSWcifchNq7N10BUp6LBxETFDw0Mq+xOqXJ6uUQFkCuqUCtSdSQJAFYK8ncZNUlS6ObWOsPC3hs0FvL1wtmyEEPFDoi6Erng6uX/8teSj8s/3/Ygx/RLzX+xomaKbgpsI7wXNyHOt5nZmmRKCW5zJ9dLNmLF5re2zI2gC+0LSEjnrx20yHWr4h5X5IBvhD61uwh2y4vlDSabgw9xrUeY+i3hd/0aZgQc2p4REzv2iO21UMPoU9MwUHNfs68dY5o+BTyxnRMBP03+NZuVNQqrLg6aYVOOJpG7DtVMMI3FK2FBXqPDzZSG5wgIqTD7g4ubY34pZTF6G9thn1Xn/fN4j+VwRCUnp0qCS5fsdNxMoI9o7Pw9TdHZAl8jEIQ1FsRKDV3ve34PYjZIuXtY0FBTG0z101Azk1dDwVGcgSn5pjTKgHEbuf02O8JgYDEgDy1VGP3fAgZO1Fw89+jNKf/Iy1Ljb2UPuchCJtMkXL6DWiQBXNsDV7Bs+zCXV0oPnh+6GZOAnFd/wAvFoN+6er+vQV0sFi7YGYRltCwXHIOc4ukBMJ08gzUZRrximdz2ENxgxg4VAzthpBTAzsQFDw9glz/a8hq+TwGSHkpVRgqgu4GO677feoEETnrmdgr1suTQBsIhDAKw0onP5N6IolERyaOP/c+mhfGSDWMOmAZzf+0v47fLfkXpSbzkKXeweCITe0ikKYNeOZZjjbzr17yIJBAutPSl2uEMTMORQbHKuxOOdc5nSo5tX4fukvsNb+MT61r0B3oANaXsf8CxYZz8SLnX/DHvf2jBwkjVZNRpOk3uVngYFLO/QyRo2+HI+P+xoaPF047G6FS/DBItdjtLYIBaocdnnyhPzoCUiiM3nKgROae3sTikQOD44swzqbk9XYW/1OBMR2WEt2QSYMrZbeH3TmfKroBX7t3FJM2dORONTjOUZOLP/NhdJ9QQSnkqP2Gy+mfA8qeeid/qTvT9LJ6TDdoMV4rRoH3d4B31TmTKmQ4wxLZuZJ/RG0WSF6M5P1zhSiz4umB38OTqPBkaZogDj28qtQdd118NbXwr5qOTyHD4GXyyF4PBBoDKIIiyL63bMGkncVpYNn3160/+0pFN/+PQR7ezImVk7dtwPLFp0FMUmHBz26MMcA5YmUkh4GOIU2jEEnVAhgK0bAGuYRUKagEt2YjVpo4WP+ETnqgaXQ/wVkA4PPCHJNLoKenpQZA7lmYBtP585/wl73cfR14dWh4HeidePvULrgXmjyxmNZ7+thfu3A/dNkf9izD0e9B5mUcpE+sS/78Vgz85yVlQuSBwcC2ybj/UGGjY5PUOS8BO6dzRCDAuZWzcCiUWcNkMz9etF38HzHX7HZuTaGnZ8gnQ0eKqgyEgNaurIOm2eUoK7SCKtRCZNdWq0PBRWaPHaLhcBz8Mk5HO5u6xvpCE3+wLWjPwTXtkbmMnia2YgAVuON7udBVkj1EwC39jSoPYqENtOD6VCgl++aGF3Jd+Tr8NwVE3HVa/uh8lMhmqSKGTMVikIDSu4+E7wy/nJCwYLf5Uv6FRd5Dr056oTkwblGPU7Nide9TwSqW/8wz4CnttZia25h3Iq22ufBd8aMg2GIK1hekdoZdEig36sYguhywmGNBv4qmYzpJfjqjrHyBekliAoFxJgAQBUzIZOY09DHIMC1ZSMCHW2Q5+RknDHQej04b+V7eHvpBdFFSRg0MsoUXFYwdFvskwWpDElBQA8q0AM71AhADj28LFsQQSL/mP8VZAODzwjGEYvh7UnVFy5CCHrQtPrnkGsLYBxxOgsU7HUrkm5PX/nu/f9B4fy7sdu1LeXETl96sg6mwCAZqtVjM2pVTAS1bAucCYiHUXBsm0xBhKjCf3lQtzXsCx/Zi0YBbU0xa6/T1Ej93yTLfGPRHbggcCV2ubYhIPjQEWhnGZCekFTjpdLKTMN8zDJNghfxCoOJQJyBSQe6UTfSDP1VM8D9dX3GY/cLQfQGJP34YlViBUAiFyr9pDMfHcsEXVnCCdvf2AvMrkRPoAv/7X5Bepz+yYH3rtiFi5+ZztL0fAzhgE6ZQ6/AjiWjcHaRBeYSE9r+sBIhu3eAzTG9jNotSV8hFkeqzfjtd+dg8p4OXOgUYFIroZ1SBu200oTyxaYlY9H59+TniY65+qwJGK/TYG+YhFesVOCc3BwstRgzIquF3G50PXw/Lmpvw2KtDsfKR0LgeZS1NaGguxM470Lg8qsxFMiMRigrq+CvH75yQizIVyAC/5YNaGo6Cn9z1L47NiggqGLOcexrhwSOg2vHNhjmL4RzY+rvsrJyBALNTay0MvfALuSNGYtlIyegNdxqKvcCNYeUyK2X4b9iOyrGaDBzsREmy+dzesnVTga6o0JYJgwsdyl4A/Sqij6RMz/9PsMCTv8L+Hx+cv8DMJTNh612OXzWY4kJiJTKtdZJa6neI3A2rYHSWJGalyAK8Hbth8fbmcFqX2SmQalAqXtKyaeCIBqgwmmwBkk7zA2VbCdkfDcU/H7IuaMIiiSV3H/SECDjmqGUZSjCIwIXvDAVhUcVAz1QPAG4Njewm2ZiEYp/tJS59BEs8nxYrHp81L0CdbqmPjfFYkUZLs+/AeO0k9DS+lFGQ4isHUbUWaHf0wbttxag/a9rGIu7v9lTLHoDLnx1z/9Jr1Xn44nxkolSf9CrqUNhdc++vvtzTaMTh38q6WdLjpD9vw8No7rx4jc3YNF741BWZw5LQkswOgNYuq0N+T+pgSJPj9J7z0bLb5Yj2OEgf25po5AIl1GFf10xEa4EjooBpQy980dg1MiytOZGhkWjYF95CL46Slf3++A4QDu9HNVzq1HDc0y9kLQgYye/TGD94F2JPCcIMDodmLo//jtlffdNGBcsgrJ4oD5AJjDMW4DuExQYxJ49f1MT/NSFNBR+CJUYhlBaoMBDWzOFcQ48+/YMfG9yYjRbUPqje8BrtBB8PsZLqOZ5nCmKrA2x4bAHHzzZDbvHD3v45Ud2e7DqjR5ccUcRJs0dXMt1l2sn6q3votd7gN23aCagMuc85GonYbhgUJXDoqlBr2df0o6rypzz4AgBb3V24eNeOzNMI/7EApMeF+ZbUKT6jNwxTxI+38WgLzE4mQKl8++BofxUupNkq/CXNhw4+O2JXQ37QxkQoOVT/yBpMitQxKv99QdNnOdbrkho6cyJPErlt8Hm+zE6fLPhC82CN3QabP7vwem/gG1nUD4LFb+JqrUxew1ByW+DUflPppyWCcprLRhxJC+tjbBnfzs6/ryGsa5Jpe/Qd56H7q7DuOiRCbj1N6dh3vJRkAV4tAWa8WTrb3CsbS88B9oHr+S3vhZ7y2vx+M8+xJolh9Feklwm16zQoVgpZQnqvJ044k7OAH+5fR16glKL3hzTaBQlyC5QXV43Q5LE7Qi0Qu2Wo/yoBWXHzFD4pO+RXxlCUZOpLziMVbv1N1vR8uAyJm+sLM1B5WOXoPjHS5nSoemsCWi8eTYe+fYstBcmb9W6o6yQBQW0klprdeDnRxtxw96juHn/MfytuYN5SrCxKuUo/dnZLEBATFcDBTY559Wg+Hun94kokZzuYIMCgn3lR6nT4DzPugGGCn9LC04UYtUY/fQbT2P77Ys5zrg6/lD4BqIIZXkly/QU3/lDGBYsGmAzTVoLZfeQFbiBGUzJtNq+zBB9/jl+GT74fTf8Hhp73K5BlY6X/9iG1vrMSZLHet7AttaH0ePZA0H0s1uXexe2tvwSdb1vYzgxuehO6JURaenwMYX/LzEsgkl/Ln56tIlJO0dcVKlLZrXVgbuPNjDb9S8zshmDzxC8QoPCGd9CXs218PYcRtBnRef2dO2BaWZHTgaFNhenBpfiw963kkbEtJI8xZi44yEW51guYSWFVbZlOOo9xFruJmin4pArH7udsauwaHDjF2aBC/qhUyyDTvkONOJyhIQyNnI53wyeGxyha/yOYoT4DLT/mZxvHTj9ejiWH2S6iZEpUeNRYvbqkSipz8HrN2xFSCag+9FPYHYPgXUsAkdWr4FltA67Zjdi24I63HH/0qRZgzNzp+DfravZ34/Vv4v7qq9AnjJaP6dA5vWOTXi5TWpPpbbFG0sGfjaU4m+pKcSoYhNj/I97SYf5mxb1nRe/Ioidcxqh9MpYGSE2mIs9R4F2B5wb62BYUM0u9Lrp5exGE/1/DtZBCKeIkxw6I/oVKBX4U1M7I0BGcha+kMhWVyQl/aOKYkwxaMFrlSi8dQHyrp3FVCWJm6CuzuvL6hwPKLVN+v2pNxIR6ByaUZtz1w44Vicr3R0/1Hz0N0PSyOkQuw3pHhwvyIKZ/a9SofDr30TuZVfBs38fU2hUVVWnzbJsWWVnQUGqJMe6ZVZcemtqkSqC1XMQR3peZn/HX7Okvw91Pw+LZiKM6uExN6KW7Tnlv0SHczNaHWvgDzmgVRahzHg6ctTj8PuGNqZ/0f9Tofs+QcT/NbXh0VEVw2oJ/nlCNjD4HECmMrJuAiotHBc4HvrSuZAptDgz5wLsIhtlf0scRyDiNnhp3vUwyTNzvBujnchukUnsz61/wGH3nFQDgS80F1r5J+A4N3jOC16WvI4fTXcnvsKQu2JsvTwdKCiI7DcWRMij7EPN1jL0FDhhbhpaKxKN8pQPqtiN7KOPjetAU2UvShtywJPzUz9cVDALH/fuQaO3G7XeTty6/6+YnzMWxSozHEEPNtuPosUnEdFoxHdWnIMydW7Uh4jnWJvgkZFmFN06H4I/iOYHlyG/ngcXc+VSBuSYuXYEG1PKIIpDX2AQC7J37k0RFBBoOiLRI5ItpqAgMsYIhD7/glY8ObaKue2x1+lV0E4aWjo/+WCIsKeEGEghBMZxkOkGryDqa2pE2+OP4EQiN+wXQOgJyyKnQneMUJO5H9Fz0OB5puqoqY6Wq+SmHBjmSi6JmeDgdlfKoIBeglJNAACFQklEQVQW2ge2ZtY63GD7gK3Yky9keLZNzSCt5VOB2rWLDKewWyx6AkFs6ee9EQsaYbMvwJw8x+rSdzV9EZENDD5PSJNKTAmOB6/QIXfiVeyuRqbFD0rvxzs9r7BatD+sVVCirMC5lksxTT97SG9T5zuCbc52iEh3sZVjqvZGqOW7mHdCbLtkf6TjQ5DlMs23sZNgKqRWTwCmbixH7ZiuzLIQCcD1CzZGHshHUB61fO4fkJC/+0PVVzJRo6OedniFAFb07BmwX6NMw4SQKGiIHEevWYUDo3Oxe2IBSsYV4uxcIxwfHWCr70ShEidykCXoSIiDCAieAARfEMEuJziFDPJ8PVN7ywR0xt7rSt5RQp+mVxCxxurAmRm0HA4VtFrTz50Px9rVycsJgsC2GSx6337j+PwROB66WXMgU6vh3LwRgmfgBFmhjQam7b70KqfWohJgtxT0lh6v+Rx5HXiPLx0eDKTnQ4SCA7fxBDrR5lzHVukaeT6KDfNh9R5OqbBKz1m9QzDxGgKafP6M+rFIRyQbGGRxwqEySz7pKcHJUDD1ZvQefgsBZ8Seh4OuaDryJl0PhTba4qaV6XBF/tdwUe41zIKY2PpmubQSHSo2OdaAEzO7KI3UTIZXbM2o7VEOOYJxXIQo9sxowtSNEkM4E6RWT+CQ06OFLDR89BrKEsiDQHeeE6ZeLeRBHgIvSkqH4WsdaRL8bsz1LHNABMNabwdcQR/UMgUTNSKiIYkgGeTRCw2N8JULx6G3Igdn55pwcYGFsaJtK1JfIKPcgiQTPUeWu17U3vIiRF+wT5DIcslUVBYr0eBNfmGk8G6CXoNlPanth2nsRzxenIkTFxgQzOedD+emdZJddf/lK9kd5xfA19jAJIiVMdK/qfwMnBvWwrnxOFVHRQHmcy+A9/ABCCQilABkrxwpwxx2uVmmJVVqem9dVIFzlP44J6SQAEXJ8WVwKkar0XzUlzR+IjmU8lFRkSpBDOFg57/RaCcBLz4cSAs42PUs5Eks2+OG7LFCCHrjDJFOBJQZlgeoS+HLimxg8DmC2jwSqpyR8NnqEmcPOB6G8gWsddFQeRqTVGbKh7oCyNXJywJKXsnMjYYDzpAdPNeR0balKiXMivl4n2kqJAbVwYkESYTAZLCVBqA7fRRcK9O0FfIcm7hIbjfVTzagENBZ7EhbnhhM3z8FB3mdBuyc0YBxu4uh9A/8aSl4GZv86ZbuOBiL/8Ia3LZoAspVKihiLkK0yk+F2E6EhBABf0NvXA2AFAvbn/gEV184Eb+eZEk62RerFJic4SrpZDCblUUlKP3Jz9H2xB8Q7O6K78kXRQS7OtH94jPofuHf0M2YhcKbbwOvSTx+59bN6Pjbk0xU6HihqZGk3q0fLUvaaaCXyzHBoMNehwvWQBCHnG6MNSQmfVLQsLEp+huZEeObMBRwCjkMp5x6XPuYc4YJ695PHiDSJWzeOdHr0uGuF8JBAUHo+/qJCCIgONJ0XAGaHg/aNj2Oknk/wYnEKI0aehnPPEJSfben6qMS1V82ZLsSPmcomnUn4xywcDsOHJTGcpYVYPc4DipjOTS5Y1IGBcMNyjjIeRtzSIyarvaHgEKlnCnSFStLMUu/IOHqNfKYW0guaUvwiV40XgkcPccFrypxLZZW6CGVjFknp5rM6bLTYwngYE0r1VuSzvwUM9RWGGHXS3VgSrdngslby6HyKzISTYqFs4Q+c+naqB5bgOIfLsGoq2dhpEYdFxQQZIbUKyYau0sjH+CbQNyDvoxCkuuv/s29uDYswxz5BkZ2k6eQ4yeVJVDLZBgbXu0mHQPAyIcnA+qR1ah85I8o/sHdyDnrPEAuj4rvUJAQnphd27ei9fFH4rwCInDt2YW2//vdsAQFBM+eXWi6724EO1ITH0/LiwZhL8QoIfbHqq5eNIWZ8KN1WlQmlVDODBQkUQnG35I8IO+PkN/JeFA9B16Dre5jmPOCuOhmKUMZ29AQuXSd+pUcjJkqfQf8ITsabMvY30JQhtYtM7D1qW9izS9/io2//y7qVp4Gv4u8GBK8MWkpiYCxB3C3b4e3d7j8KxJDznO4MIUbJ32zFpkNyFF8edfVX94j+4JCoS9C+eLfwHbsQzgaViPkc0CuzYNpxBIminSi02jpQJ0My63vQKd4G3b/rRBB44mdNEOsVn17WVFfWvS6wm+yrIXUdy8FBESINMhMuCLvBvyt/fGU70liRFvc67Bn/nbIZvMoP2bB2N1FrIVR51TBpwpi37Rm+OcsxpzH0180XGYBN1Z8B6XfLUPzb5cza2OSPSZE1ggNZUY8c3UNBIUMo9Uq/LDNj/Y/fZJ234MNCGjyPjDagpeumMgmrDPMRpyVl4OtHh+CPXZUa1So1MR7BhhOG42el7cmndyppfG9M0fCbPNh7uYW5vZI6MhTIcfhgsqb4mfPc5i3qwNTL6xhdsUNPj80PIc5Rj3mmvR9bXIX5JnxSENr4l1Q/7lCjlkp3AKHG6y7YtIUuLZtjgsG4iAI8BzYB8/+vdBOqIk+7POh9f9+j88CSwsseL2lHa0+P7ZY7fhLbRNuHlEaZ6i03WrHn4419t2/tjx9SSQdnBs3SMJG4jPQTp6KwltvT0rSpO9l76E30XPgVdaxwGZ+MYSunf/E6IlX45b7Tsead604vMvNsgRUPph/bg7Gz9T1XQM6XVuZxVrIr8DOf98Ae32lNNuLPIIeDeo+XoyWjXMw7eanocklRdgoaLOiOkBOX2NOxszl1OZ44uxw4yt5OegNBvFety0uQKal0CyjDjcWx6uSftmQDQw+h5CrTMgdfzm7fd5QpChFubIKjf5aGFVPwRM4HX5hSvirJEAnO4ofls9hVqsRyDk5ri24BedZLsNO1xb4BC+KlKWYqJ2aNltAoEt8q7+JlR1CCgF1Y7vYLZZpSBNyKQyYyeemNPqhiXhG9RwUEvlyCrD2znnQLz+Imn1dkIdEWHPU2DGpABpvED/+4yaovUHYDUp4F4+TevGDw+scd2xEDl69YCxGH+pGVYONHezTlSYcHGVhksGE0RoVvl1W1CeqYlo6FvaPDiDY606oWthSpMfeCfkIyXh8Mq+c+REIMg4+pQz3/SZN7VyUygrlahW+VpL84jfDqMM1hbl4ob27T9I4kggmN8O7R5RAfpJbuWgCc6z7NK2uAXEIYgOD7jdeAXzJzZ5OJCjQuqO6Aj/fT2JgIt5q62QBwikWE9Q8z1wUt1rtfTHgWQW5mGU+Dt5GxGQrplTp3rMLLY8+jLKfPcD0CvrDeuQ99Ox7KfpA2OlUFALo2v0M8qcq8dUfLI17jc/WgI7tL8DTsRMiSTCX5gBaDrXLl8LeEBZq6yPJSn/73VocfOZqnHb1E/CFYxSNEzD0ArKY5KQQGLyz5GDBcRyuL87HUouJ+ZGQvTd9r081GVAdc237siIbGGQxKKywvsuCAoKMs0KvfAOi+DaFBODhwQLjAozXn5vwtTlyCxaZzox7TM8bWLDRHiCLX+nyR0I9ee16dr3oLHIgqAgx2+WE0szhcJ5ea5cdRuOkCSjf1daXAegPety8KGqz7Cgx4MMLx+HVC0S2MsnrduMb/97F7JYj+yBfBNubu8HrlBCcwytssnJ+OW7/2zZYrD6EwoHAgo3N6DWp8Pr5ozH6qBXTdrej1xuCp8AA85njYDh9NHRzR8D23t64fdFwG0sNePbKiSwoYI/xHBxGKePAiUEQ51KWKrbhwbQHMsEF+WZMN+iwvNfGBF9IoIhWUwtMBqiTGO2cUIgiRF+az0cQEHJKHA3yCuj94H3YV3yAzxJTTAbcNWYE/nCkAa5QCC1eH15rGcjjObsgF7eNjIjyDA7kw0C6D8kyKWTHTBLJ+hmz4p8K+dFLmYIU6Nn/H+YCG3F3dTSuQfuWJ/oM3th+OqwIFivQsnkWyxIkhCCDtacYwQPlgCDHngPz0dw+CqLIIS+3CePHr8PIkr2Q69LrIgwXSlRKXFM00LPmy45sYJBFxgiKQSzr/e+AxzkuCBkkEtIGxye4KO8a6GT6jCPzM8zn49mOP0Me4DH/o9GYvLkcioC0cqEywcF5Xag7ywcrpBSj1qnExK2lKGo2MW5B3eguHJzUCr3egOnXzkHb/nfABUIspR4LukuTqrIkuuIaq9VgLfXjU/sWRFz1+oG4oICNkb1YZKJCijITAi126QIbIbqxC2DU0CoT0OWytUiPq18/AI1HSvXHZjqMNh9uem4PW1RFjiPYYkPXvzai981dCPUOrIXTZqWtTlh6vWjRDBQQEjkeeycqULPXBz5Zm2ZIhP4UkrHODGVqJb72OUmrUjlBZspByJbCnItkfvPz4Tm4Hy2/e3iAH8FnhVMsORg3VYd32jqxqdfO2hdJ6ZDcIccbdDinMA+TTelNpVIi1feT5+HYsGZAYODp2MU8W1Ih5LPD030A2vwa+J1taN/6pPRtjHk/jUOEVyyAEEgddHKciN0HF6C+aSJTRhVF6TrQ2V2Ozk+vxtE563Da3DboQ3YmUpTFiUE2MMgiYxzzHoJbSM2IDyGIve4dmG1YgIAYgIt6lXktVCl8zecaFqHF0wDLHzpRWm+OcwZU+eSYvKoIIzoDOHLFAYzeX4hz/jOZdRSwEiUHjNlTiAUfjUb3ncXgxxtR+otz0PKnT8C3RlXxRDmPnLPGI++amXHvvSDHgBfau5iaWXmTHYWdKdKUpBpIafbfXAjP7hZmQEQOgrTCbv+jpGyYKegI2wq1KG53DghgCHQ5pIdjn4uclURBAYFN9YKIM1bV49/XRFPlsdi4wIYJ+1XSfvu/L6kSjspnZlRDhedgO6zv72Pnh/avHl+InHMmQFszzOJGCcoI7h1bwSnTZDsEAYZTFqDlkV9KQcFQvAlOEMxKBa6rKGG34YaYzo2RMikOye47FiF/+lIfe7lf+t3YaxN7j9B319whZvQ51jdNCP8dU9YIZxmaN87DrtHPo6fmZ5hT/lA2ODhByAYGWWQMv5BZGt0a6MELHU+z7EFQDLD6/xTdLCasVKaqTJw1OHAKOurWJN4hMZL3KDCnogKnvD+OBQQRkl/EP0HjUsHyuAN33nYEUMtx2g9Pxfn2EFRtDqbNr51cytT3+oOU+Ui+99f1rWy1nbZFMSSygCDn3InR4QkCul/eJpkRZTjPrJ1TipF11pT+D0Op0NOEP+pYL3QuP1w6Zb8cRQiaylaof3AJQo/t7dMw6HutTon8W+YPWebV9tEByU0xpuvMvb0J7q2NyL16BswXSi18ww2aTLpefBa2D99L0M0TD+paIAdDwZXZhPelAPkc5FgQIrfJZCBX0oKBKXpFhml7apkmeDr3JhVqK1G1Qal0w+9P1a3Cg+NIZjmZBkcITevnIG/cMzjS/TImFHwjo/FlMThk2xWzyBhEGMwEH1rfZB0IFBQQKEW/07UZjzT9DEc9BxHocKDrhS1ouv89ND+0DL3v7IHtwwMpZ0KRFzDr0xEsEkjE/GfmQq4ApuzphF8EPuy14l7OjeCCkTDMG5kwKIhgol6LR0dXYHa3L6PJuH/rIqWwi753Ovg0bYQRBGUcVi8oh8oXGtLkn3Z8xN1wR1PkJDRL5+zaQgUuyb0bxz7pZaqH/SG4/Gj99YeSFfMg4WvsjVosx2kkS3e6X9zKsgmBkBP11vewu/0J7O34KzqcW5jwzfHAtW2LFBSw904iqas3IO+a65F71VfhO3qETZb/MwiFUgcFBFGEYcFAfw517lgodNQFkeybSm3UlVDljAjfTf6NlslCmDiaviOJo2EqHSjkXojJOAhsnDLYm0uZMFILLTyEz4Y0+mVHNmOQRVIQ4Y/8FrY7N8In+JhI0kjVWNT5DickApKeuZJTMjvn/s9TcEClhVXvPoNFr4+OmzQ8e1vTe0MJPBRONZP8TQbaxdjD3dg8g1LhPKzBEP7R0oofVqYnbBXIZXAd6U4hyiqBygbqkVH1SM+hDvS+sZOtjNk4lZKWQtLuBY4Dt2AkglolOgq0yLF5kxIlhwo6ReZcPbogss4Aahs8w2LCKx09WL77CO5Yn8SlUxAR7HGzQK1/ySUdul/amnoDDmh/Zw2OXPRfCCIFJVJ412z/GFpFMWaU/BQaxdC4ClYKCmKFjRK9vShCPXqslA0hYuTnqITweUHINbCUQOerYPotaF7zy3DQFVvbotW9DAXTbu57SFswGT5bfdIAbcrET+EMTsThg0UxH5nUWmQydEGp9KKjK2Ivnxg8HyY0igF4g13QK8uO67izGIhsYJBFQtiCvfhjyy/72gRpot/r3s7+V3Iqlg2InfxpGxnk8DFPhsQXXbICXvhqddhPIAYZXKPFdJ7L4fSXPE6bncdWhxe2YBAmEr0JI+TywXeki6Wg1SPzIDOq4avrgWBLv/pQTygCJ5dWm64tDWj9/cdxk4zoT7L6DafX1eMKUHLTPPwaAtYv8kB2KL5n+7jBc9BPL8d9k+P7vP/Y2IZ9Lg/O2tnOuh+StnQKIuwrDrLUf6YlBQqE3DvSCOWIgPdgRzgokAgOkRF4Au3Y0vIQ5lf8jhnbDBa+Y0fS+hoILieaf/0Ayn/xK2gnToaNFAmziDdV2rQB+mkDA0JN3gSULbwPXXtfgLdrf9zjuTXXQp0TJasaq85A75F3kwYGPBfC1d8tRWNjITZ+0Ia2o01Qq9yortyBqoo9OHBkdjgwSAyODyF3/P443wWdovRL63L4WSEbGGQxADRhPtX6CHNmJEQCgMj/ZMg0VjMJx7wHWBaAQoIZ+lMwTlvDuguSYfraSslDYBBOidFBAUGLG/JeDbgkqUbWw18S3w1BIUibL8ACA3Il7HpuMxwrD0MMhCdwGQfD/JEZM/E9B9tYKURm0qCNBI9SaCbEQcYj76uzYFo6DpycBxVlzjab0GnWIBgmEx73pY3nWMYi96oZcQ93+QNYb5P4Eya7D1yaMVNJgWU8MlR79OxvY9r76SDFTwPfm9LCFByQBW5/p7uMwOyL03cXENmw5+03UPiN2wAiKZK/whcYqpGj4GuoJzej49+ZIEDwJu8+UFtGo+zUXyDg7kLIZ4NcbYZcM1A6W6HNQ/Hs76F10x+k4CASIDBRJBEF078JtbkKo81ARQWPxpXUwRDF6BHbsWPv6QgEVQlKCtK+yk5ZHxV/av0NdMoyjM+7EZawA2wWx49sYJDFABz27keD71jS5ykJ7AzZ8GjVP+ARXKzrQMErUeslmeTkqDqUNyQ3Q+YdkA/0LjiKgtdSE9g2TxvIqJcTmUkQ0PrICnj2UNkiZnIKiXB8ehSucCkgHQSnH3X3vwXLhVMgegdxQQ4JcKw5Cu+hDgjeAEI2L3xHSdt/EFqJ4ayDcckYKCst6H11RxwfQDUyDwXfmAdlWbxE9k6nu286dmkVknBSiuCAyJpMzCkMkVkxcyygSQTq1MgE1mI7VpDqXji7Q8ER2YZJvHIeHa4tCQMD+uy8Rw+zVT+ZIqlK40tD2ljFw1QQBDg3rUfh17/JVP5C/mHO1pxkWC64BO3k7eAchsCA56EoTN+NQhM/3VKBLOQrz/gDk092t+9kwYEmfyJMVWdAaYh2XCj0xeDkaojBmO+wyoOzT/snPlj9Nfj8JPscpgMTt4gXMOHKl6EvipeZdvmbsbXll5hRck82OBgmZAODLAZgj2s7ywIISbwQKAnc7G9gQYFRHp2EaIqTQ0GWKAlfx2WQKeA0coieoCSGFu466BjhxK7rHCgxFkNV2wzTtlJWWojwDUi0h8qOb50zCr3mWAKgCB52jFCPhGtro9RCl/iAIDgy67hgLZLdPuz89AOUc5aUXQX934PKF75j3fGTcqYZB1LJKzeziV89WmKAmxaPZYQ+0ROAosg4ICCIgBT1IiBVxzlbE0sZM/AcjIskl0/7qsOwvrsX/sZedp9aD83nT4JuevzEzKszu4xsmtyGSBWbvlkk8kvh2FzieFA+Shy4giclw65XXkSoNzqJq6pGIv/6r0NdJZVLcs4+D64tGzMm4tHKWKbVxe3zMwERIJPJN2cCUYRu+iw4yL3xeDkTggDjosUYLpDLa97EqwG6JQEvVzGpd1JWjM0k5VlacMVXHsXhhqmotY9BkBNhrGhC8YwtUOoTdZNIZakDXf/CKeW/zZYVhgHZwCCLAQiJwYxWsSR4FMEntg/xUuc/UnoFtJXbUFZLOgVJsgY8h5yzJ0A9oxSrNr+ClkATmkf2oqPIzva7yyOi9MpyXDm5BvzHTgiNAVY+OFxtxpq5ZairjJ8YOQE4u7UBnSudcO/K3CwmHSgeMXSrwhfjQV6EBhEI9IeqKhchp4+toKkTglbw2onpV3lkxBQBKSPuG2PBuMM9A/UTeA68RgHTeRPR8Ze1cKw6HHd4xBFo3b8cudfOZAECOxx/ELaP09lAAz51AIcmxZsERaQUNlFZBRz0yvjasm3VcnT+628D9uerq0Xzr+5D6T0PQD2iCppRY1Dw9W+i4+/Jy1gRcCoVeI0W+tlz0fPfps+MhCgvKoZhzjxW3rC+99aQ9tH61OMS6XIYjsFy0WVQFg9NP0EQRex2erDW5mDKjfkKBU63GFGpVsErCPiktxeretrgCgkokAdwdl4xppskLxXL+Cvg7TkCb8/BuH0qlEHUjNuLs069DD61gNreo2h3pmoxFeH0N8Lhr4dRFe6QyGLIyAYGWQxAuaqK7E5SbkNSxia55EBW7z3KggLEUcoGYtu8elQcizL6E8G4ZCzewZtYPmtd3L4if7cGmvHB5IP49tk/gRAS8Je2x7HeZoJfoKAgMmYOKm8QN768AWWNHJy87bgm5P4gASa/kloNT+7KhEoRjtVHIM/Xo/gHi6EakfpcRjCKjJjUSjR6/RA4Dv+5ZDzOW3YEM3a2s+AgEt5QxqHwjkXw1/VIQUGy1sPnt0A7tQyqcjO6X9gC7/7UDoK070/OPggxSfsFhZcUti02RVesgtfLtAmSSh+HQuh++TmU/uRe9pDx1NMgz8tHy28eTD4QnodxwWnMD8B42hJYP3gXgpvq6p9BcBAKIfdiyQvF39IE987tg5/gh4EjoSgqhvkrF8G4YNGQXu8JCfhtfQv2u719nhn0/7IeGxaZDNjttKKHUnogJU4eHUEldje5MLlzNX5cPR9yuQqlC34Ge/1KVnoIuNrBK7QwlJ+KnOqzGY+BGo1zNTVod25IOx5fsBvIBgbHjayOQRYDMF0/F1pel3Tio8cXms6EjJPIaSuty1hXQjocG9uJLQvqpDuxVsL0NwcU3nYqBIscq20fJg0wIt0RHf5W8DIeN5fcjrPzupGjfBJq2RqoZNugkS/Hje+tQllzxHp3eC/8Ai+gtcIKh8GTMhAadoSk9wp2u9D8wDIEulKrUEZAK7M7y4qYmBN9SkE5jze/Mga//c4cvHbBGKy6YCzM95/LFB1psrd9sD/+8+kPnmMmTiQRbV9xKO2EtnHhUeyZmTxjw9ym1eOglkcDHefWTal9D8gpcf9eBLq7olyD8RORc96FScbMQ2Y0wnz+Reyu3JSDglvvHAbG59AQ7OyAt07i8RR87RbILJkFecOJojt/iIqHfz/koIDwZFM7DroljkCE4RH5f7XNgZ5Q2Es8fH0Qw06su3yl+HudpD3ByRQwjTwTFUt+i+oL/o2qc55CXs01ceRGpSwz4yil7ORZ0H+ZkQ0MshgAski+uei7bOLvP+FTUDBKPQ5nmaMX4MPefYkNjvqDA3af1wXN96ZBM7EYnEbB1Pbkc4thu6ccB6e0Y597F+t6SIeDHslASMEpcE3BN/DIyF/g22VjcWtpEe7TLELZPk30CjXMIJ+BXbOa8M5Vu05Y1kBmSaEOJ4iMwMgm8JiWQSJQtj/5KVp/twJdz2+Gv0XyryDkKGQ4NzcHZSolFOEhy01qjFo6HtdcOQe5Ywv7arPeun48iATv763thvdoV7S7IwmYuZU5dRso6V+Y+q3yglT/D1s8pwLbLga5l10F8/kXD5BG1k6airJ7H4I8x9zXeWP74J3h6AUZMjwHpM9PnpOD0p/8/OS+OS9jgdXx1OPbfH5sdrjS/MySf4Yb3OVw+OLLS8mQq50COZ9KMRHQKAphVI3MaH9ZpEa2lJBFQozTTsJdZQ9jufUdbHNuYJN1gaKYuSMuMC1lE/JgQJ0LV+bfhGn6OVBUKYA5gDXYg2fan8IBz9vSRu1RqeN0iAQigU4ngj0uqEwazCpawB6zrtuHrhhZ3uHG7ulN6CqWaHQOgxcGx/DZsAqcyMh8RDT0kK1ysmMQpG6KvGtnMd5By8Mf9nU5sEmd52B9ew/Ml07FoTOq8VRzJwIikTGjKFApcabFBF1YBZAmy6M9ryDIOyFnCdzk4JWZKwdq0h0zBNTopsU9JjcY03cZ0HbGeK383rdeR+/bb0QV+FibnADB7QKvlkbi3LwBXf95ga3aP0sEOqIkUGVBAVTVoyRVxpMCEYJzoKDRYLDD6Y5Vvx4kOHhgxLauD7Go9PqUW5L2Rbd7JyyaiehwbU663di867LEw2FCNjDIIilKVOW4vvBb7EaTRrIf3XjNZGxwrE6aNaCsw3zjYmasFIE75MTvmn6BXqoJxiDT1HxVWwmaHnsfXuqhD0M1Mhe5184Kp9xPTGRA4wsqw370ohL+dKY9hMhpSzAcSexJcnaMlClqbwhh4koy+Em9WyHsytj22Er4asPnMbLSD//f+9oOfOp3wz9F0ryPXd8fcXvxSH0r7h8pCcTUWd/Csd7XYZowBTlbipLaM9Oe5TPKGRmSCJBiMpXHcIZJUyl1NST7bpDU9lhNvOmTbuZscM/+Q7IKTrhjDqqqaigKSK5Xgn3NavS88Up4kOHzEO6jp3bH9j//EbqZc9D5z7/i8wD7x8uhHlEN48LT4WtsgOBOYeB1AkCcjOMBdbsc76/MFUjNT+ly7cSejifgDxEBmU9aPhiffyMKdINT68wiObKlhCwyQqpI/LScs9NM6MRJOCPukdW2j9AT7MqsBNFvIpneUYPAQ9vgPRh/UaHJseWXHzDWfrq6t3AclzONSwlRVMHu/waaigqZkmDyAXNQjykARzK8MdvR+8cGBZFMCR/iUfGMCBn5LqTaL5VRCg3w1nZJ2gxJUv/06KI1DQnPB535Qx4vDri9THP+WM8b7PFNs/IhclzCT4ZKxqSFsKWmgPlPGKi1Mck4yd/CU9UNc4ELke7yyJaR481TFOLbJXeB72d+RDoD5gsvTXzg9F3kOORdcU30vUSRZQuSQhDg3r0TXc/9E58ndPzzr3Dt3ommX/4cgfbM0urDAmpPPHXo3AJClVp1XNU6FdzIkycvRVk9h5iAkT/k6BPCioVJNQbTi+/CwhFPoFA/5zhGkkV/ZAODLI4b5Jh4XcG32MU+lpNAf5Mews1F32ETQCzIZCllMCEAOocSOge1BUoP0f5NcguWvD0BIint9Z8M6a4gouedPZAVG5OWjwVOQE++EyHqZxwC7DkeeINnQBCLsHFmcXJ5YfZmIiyXTUPZwxdAv2AkAooQO2633h91iIz5nyctCA8HDzH905AmSUWReTSkCCDomdxeLyy9iev8VBDYaHeix70bIVHaZrelBs9dMREBBdkvSYqSjENGmR6tAv/86iSsC0g8kLzrZkNdnRcnWy2FPCKCOR50XLGLPUbuGEspuyQzYaJ2Kisp3VR4J35W8QjMMaTDWBBbPveKa8Gp4ks1crMFxd/7CTTjJHteAk2qgY7Uq08KJpjV8ucJHIfO5/4JkToMMiidZAoSfWKExiQBvfkrF8ZlW4aCCToNipSKFJNIIm/vCASMl21AuWlh0lcf6Xkl/OrE+7D5DjFeAR8mQWcxfMiWErIYFsw1LkSluprpGRzy7GWT3HjtZJYpyFdEL0DEK6DygT1kTbwjAZi6sQIz1lbCZJXIRrZcDw4s6kb+0kmY45iFztoPU45FtHmZsmBCcIC3CNg7pRkLl40d9HEy8uXSJfggWM4mv4ZyE1bNL8dpaxvZBBrRBoj8nXPeRGgnSf3hRbctxLorGvBx73u49k9zoXUqWSAw4D1IcMnlg2ZSMTy7E4gRcRzUY/NhPH00el7fGb74pw4i5Ekkiylj0+nvhT8U7REPigocqTaxroVpu9tR3uSAwHM4WpWDPRPyWVeDPDyJ8WoFCu89Hc0fL4fz41rIe1UI6f1wTG9mN1EVXRHqweEUVSVmlNyV2bnmOJjPPR+mJWfAvWsHQi4nFPmF0IyfyHQcYpHxhE/n6vNkoCQICJ6ATAGpGAo+H0I98aU63miC5fyLYVp61nG/B30+3y0vwv21zfCRpHLsc6IIo68HXrUafmiY1Bh7nOXKeJRxhzFTsQVF+qgBUywoS9Dj2Z1mBDzanOtQbUmSWcpiyMgGBlkMG4qVpbgy/8aEz7X4GvFa17PY75FWkAkhAme/XoPxO+KFVkzdGsx5vQxGRyFkU4dg0UsralFk/f+0yq46Yyzkrt0Qlu8EH0xs45wM8kIDSivnwXck6lC4/PQRaC3SYcH6ZpS3SGnP1iI9vEvH4Mxz4yWczzRfiL1dW5Dfbkg7ZnmeHnlfm4Pet3Yj1BOuP1NJAiK8BzpQd+er0EwoTOtT4FPw6M1JTJCkKXKfZxn+jTpQlZ/oeRa+DR5BD59ajg2zSrFhVr+hAUy8htDj2YcdrY8iOMot6RunhIhifZRnkil4lRr6WaSPmByKggLWicBW3knfXkxpCxz3ngYjBEdmUs+fO/A8bMuXxXd1hAMiwykLkHPG2cP2ViM0KvxmVDne7bLiE6sDHkGARSbD9E8/wpwta9F6gRzbR83G0dAU+EU1TFwXxsk2YWRwD2o6LwM3imdloLoDXnQ0+aFUcRgzVQdOk0rMKHxI4JiNdxbDj2xgkMUJBwUFjzTdi0ACydtYjDyQjwk7SEE/Mah3XlmaWT9zHEQR+vkjUXR7tKY6QTMD9puN6PjzmkHxFC2XT4M3Qep+7/h8dpOFJ2lRxuPSAqkPm2SLif/AKWTQTinFnSU/QyfCnRjJEC4jkBKk6cxxcG6oR/tTnwLkWxAea6jXDee62mgnQqJD5zhsnVaEQEJDJFYogEq2Ha0BH2zgcTpL8W5Ek5A8m0JHSDbO7kAHtrX8mtnfpgMVSbSKIhTqU0/wQwUFDyRyZFu5PHFKnuPA6/TMbyHlfgxGFNz8LbT98dE0bxiedIcx/T9siIwpdmzhLIntg3ehmzQF2prUniPpEBQ8aHV8ig7nFoREH05RVeHyUUuZ02GgrRUN6z5m21W96kNR9UrYZq2EvwDgfYBhN2DYxUO+0IPGfC/+86d2dLcF4jyx5pypg3KuEpws+TWDOAfafiXKLIYH2cAgixOOV7r+xYKCdETDKZvKWf0/lWSy50AbeJM6I4vkPoiAc80x+C+bBmVRtL3NeNpoRvLreW275GGQChygKDbBMGcEDHIeJUoFWvzxE6I8KCCv283UBbvytJhuC6Dht/9FoMkaDT44QDu7MqNhy83Rvu2u5zZJmYH+83/kfiRYiQ0QOEBZacaRs8aAF0P9zj7d46BTvAme87B7NGWSDFE5fwhj+M04JMyK0bKLHsJ5uTkYr9PgYNerEPtslFOcOIgwqkZhavH3IOMz6OIYIiyXXAnPwf3wNzfH2/6SfLRMhuI7vg/HxvWwf5y8FEVZgvYnH0s74XNKFTRjxrEsRcY+DScYJOAkLyyG7+jh5OPneViXf3BcgYHT34QtzQ/BH1MOtHkPo8G2DGNyv4oy9by4T197VLrFjwPo8Zrw/APNCAbivz9CCFi/zIWRPV9H5fl/GUA6jO5bhiLD/CEfRxbJkQ0Msjih6A509IkRpUNeuyF5UEAQRPgaemH+Sg2T5R0sup7dhJIfEQUuCt2McnYjNUESDQraPGj/42qErB5myRwhNFJrXvEPl7JVP+GSAgv+1NTeFxCc/kk9MydS+6RSh1ejgBAUEIqk+SPXPhFwb6rPaLzM5ZAIf9ubo6WERKC2MbkMujkj4NpUB9EfAmdRQjwVCCzy4ZtGNz5xFuKtrlYIYVUBOVcHjXw1FLL4KzaZGlVwwHzFm8gPNWNPaB5somTaVKwUcFF+EU7Nkcog7c6NSS/aEahkFkwt/j5MasnwiBC0euDa1sjcKRUlJmgnlwzgDAwFMp0OpT++Fx3P/I1xElhZgeehm30KLOdfxFwZ1aPGsA4R24oPk06eKRUXI9t4PXDv2ck8GgSPB559u08+d4Ejb5HzoB41FrxWC83osWi8/6epgxpBgK926FoJlB3a2vwrBELxZZbI9+BQ93PQFZdANWIkfPW1yc+JIGBT8wSEgkLiTUTg2MZSFM+rhDK3PuH3bGzeV6GUpSnJZTEkZAODLE4ougOdGW03V78IOq0JsKe+KAfbHcxymCP7YPfgGObuHU0Iuf2QaQeuWuW5Ova/sjQHI/50BZu4vEdo7KIUDIiSV4FudiXLOizIMaA7EMR/Wjpx3Ut7UVVnjWNnqz2B5OvoDOcPPhyE+EiJMI1VMikQKs8eh9WXVmJVdwfcUMLAWTHOvhnVrjdRrixGvqoDPtCxB8Bzic9zIKYkPVa+BWNkW+CHmpEkR5hOwUTzLX3bJnJD7A+lTN8XFJDeAQVnto8OSMcSTkHQuS/89kJoJhwfS9577Cha//AbhIgbQKJNdAuF4Dt0oG8byhyoKquGZxIXBGbcVPHQI7CvWQXrsndPXmmB46AZOx65l1wJThEVG+Pk6YXHMtkmGdqdm+ALpXKl5FHb+zYmXnQpWh97JMkAeCgnz8L+zWSHnmKcvAju6LeQX/EaOlxktSV9ZlSSqrZcjuJstuCEIRsYZHFCoZXpM9putHY8cueb0PvGztRteiERrb9dDsOi0bCvODA4SeKQiGCnE7LKqAZ7IpBoj352JTieYxLD5AnASH+iyEyD9PNGouCb83FBXg6mPLsNwbokHRbHCU24myGSpUiH37W045hFBRGkF8/BJ2qwJnghDoem4mw8Cx3nRwDJJ3M6k/0/LQoQVKCyDYeQEF++MSirGHM8eaqXh0FV1Xe/4+/rJHOmmOwJIdjjRvOvPkDZA+dBPVJqfRwsSBq5+bcPQfSHA55QlKQatPai5dcPouLXv0egtVVyYRzG1b3901XIu/JaqEeOQtuf/pB4I55nyouCx535e8vlyL/mBji3bWarb8EhEVtlphzWVWA++ytxQQFBN30mfOTBkOw9KIMyvR+bdBDodhN5OGKXlAgCrN790Ey5BwU33YrOZ/7ODK/6XCAFAdrJU6G9+haIG1PYfxNEAda6Izin6LtM4MgTaIeM10CvLMsqHJ5gZAODLE4oSpUVKFAUoSOQvCVLzskxRTcTyjN42JbtkybiVNdOKikc7RySTwGXRso35PDCtuIQW9WGumOY0THMf+f6WoScXvgbeqWSw3CD55iXBBkaEbTTylhAkgpOkwp1ZgoKYvMW0t8dYgU2B5egSvEetqfYB53y6DTeHxy0iniL54qcM9Ht2ZlifwLKw8JW5NvgWHk4yYY0YQA9r25HyY/jhbAyBZUGWFCQaMUuCAg5HbB/uhreo4eGt2WRzJwOSp4H+plzkHf19eh68RlpIqSxhN+LPBr0c+bDuoz8GTJ8b0r7N9Sh5Ad3w3v4IBwb10JweaAaMQLG+QsHBAUE46LF6H33LYg+78Bj5DhWsjmeVkUxjetq33aiwBQdKQhxrF/DCIm8RsO6S1SVIxDwC5AruAH8gn4Dhko8CHeHBbrCqVDJh0A8zmJIyAYGWZxQUGR/Ue41+Gvb75Nuc0bOBVJmIQco/dnZaLrvPYi+JFK4BEFk1sCxioHpQJefbpUGq7d7cblRD6NuYIAQ6HCw9ya2f8prtyjCs6sFxwVGZjQi0GKPlgnCqXXySSi6I9pBQQGCdmop3PSeSbIpK+aVI9RPPbBvuOBxMDQTU+XLkc/5kay4QzZGyXMpIsqMp8c9kqedjjLjEjTZV/SToJb+rrZc1ldGcK47lrocIohMrClZqScdnJs2pE7jiyKcm9bD39w07On+YFcn3Pv2MH2FnLPOhXbKNNhXrYC3oQ68SgX99FnQz5nHBJis77+V+Y4FAfZ1n8Lf2gIvBR9E16dj3bgW3a+8iIKvfYN1YsRCbjSh9Ic/Rcvvf838IWLbMymQKLrjB1AWDr1kY1KNQqtjbYotiNBa2kcylen1CdsjFUoeUxfosXWVDWIyXpEIjKraCXutmwUGWZw8ZAODLE44pupn44aC2/By5z/hFT1MD5FkTsi78QzzBTjPclnftkTy08+tguPTI2mV/waTMaAtuxRqrNjhwM5aDx66sRxGbTQ4oF7qtj+slDIAJ4NDJgKFd54GweWH/eNDCLTZITOqYTi1WipjyGPGFhRgOms8M4wKNNv6JliRarACh2OL5NgyPXXbVghKrBELcSrXCKIb1sbwCTRhZUIpW9C/d1O6T0QvtSKa5qcV39ZVDmxafhZ6OhZBpnGicNpmlMzZiHxLCUaYL0Chfnb0/Z2+9EJMlDhw+oYUGAi0Qk4DIhWKweFXPiROQ8tvH4J69FhmZUyuha6d2xFobZaOORSCIr+AKTVqaibDs29P5sGJ3y8FBRG6ft+bhlhJhMoKusnxk6Z61GiM+N2f4Fj/KQtYKChSjx7H7JVpoj4eFBsW4nD3iwgxfkli1mBlzjkZ7WvxpRbsWdcGn18NURwYqE+ZuAo6jRV+Z5qSQxbDjmxgkMVJwRzjQiaDu9O1mRES9TIDCxj0snh3PAKtpNNCJSMCA4ReX0L1wEQY7bRCHQigywa8+kkPbjo7aiJDzoR9RkQnAdRBoB4hSQFrJ8an6COQrIH3o/f1nQjZoxOfoA/Bm98Df7ETjhmN2GueCtY1mAZWCNgDYAa5Z5KBTXja14X5AEreiGLjfDTbP2Z96gS9sgIjLRejKEZ/wOcR8LcHm9F8LEJg5AGvEfWrlqB72xm49f5yWPTxaW4Sa0o7Gcp5yEzpvBgTQ1leAQ+RDlO06SnLytnqe9gRTtl7jxxCwz0/hGC3xT3n3rOLdUlQB0PRN+9Ey+8ehq+2f//eEMBxzEkyEhhQd4Tg9UBmMLK0vWnxmeyWDuRe6Av2gueUadP1CpkWU4q+j+2tRCyk8D5yviXeQbH+VJT2yywlQ06eAhdf8AY++XQOmttIHUv6HatVTkydsArjR2+QmhKVxxfMZDF4ZAODLE4alLwKs2IcFpPBuHAUev6zLfkGPAfT4rHQTS9H88MfQBDEjIIDUv4fZ+/GNksRVu2y46tLcqFUSGlM76GOE2XImBCujXVouOtNFNw6H+qqeMJdpz+ADn8Amrf3QXhzoCws5wBUASO6LtyHoMWDYoEmGT6tya2Ma0cjiTuxLAEPQ8xFXc6rMb3kJzCqqzA69yp4gz3gOQXU8oHFhfee60JL3cCuBmKYu+wCXny8Dd/+VXncc4YF1RJPIikpjmPb8OEWzcGCJkDPnhSqmoLAAgNsXJfZDofCQxDF+KAg5r0jhkkjJk5C2b0Pwr1zO2yrPoJ7547BvUe/9yPugWvPLtg+ep/tkw1dpWL1fcv5lzBtg2Qg46zanjfQaF+OoCDxaYyqkRhpvgQF+uROhXm6KTil4jdosL7PWlaphdGgqkSF6SwmYMUlKWklQmnNFJzFPwOHywSbPR9yuR8FuY3g+ch3U4ShfPBqmVkcH7ImSll87iC3aJF7Na1rk0gF5+pguXgK8yAou+88yCckNuHpD7rMq8LpWH9AhNUVk5r9DFjO/voeNP/iPXgOSHoITV4/Hqptxh2H6vHYrloE30qsFc+JPHifHOaVUv3ewrdDj1QtZCTJUA+Ok9IKKuMZMGvGQSEzQiMvQJX5AsyreJQFBQSfGICdVpEJLg8eVwjbVjuStpnRHEiZhMaDLrgppb59K/xtLZDnaFJ+puTUaLls6HVk3bQZMCxI7haonzsfnEweLxOcBIW3fx8555wPXiu1sBLUY8dDM+U469wiYFv9MSMA0nhLvndXcgfJQaD1979mzpF9b+PzMTJm4wP3IGhL3DETEnzY0vwgaq1v9wUFBLuvFjvaHkWDdVnK99QrSzGh4GacPvJpLKn+F2aX3Y8iw7xBBQUE04glkKlMMOjtKCs+jKL8+mhQwPGQawuygcFngGzGIIvPHJQyP+zdjz2u7QiJQVSoqjD9vLksrdzz6g4EO6Q2LWoZ1M+rQt61s1g93rWjCdb39kI8Zqd0hCTskyJzQJesbmU0Va1WRi9impriYc0WhEUO025EY26+7z3wsyvw2ClF6DJIHgRT93SkfCkn8NDvKkbX+fvgV8jhHtBoGPs+IsrqczCxcTR4UURuTQFmzr9xgKhQT6ALb3W/hK3O9QiF2eej1ONxfu4VGK0Zz+63NfgRCqbjfojY8dtnMT60qu8xqr/nf+1myHTz0f3q9qhgEylBTitD/g1zoKByw3GQXPXzToVj7ScJVvocnJs3QEFugxnU9pVFxTDMnI3cS6+E4HKxFTiRCIm42HBcK3wB/oa6uIcsF13G+Acd//obMFT+Q5JOjGBPNyMpFt78rQFP11vfg913LEGKTLp/oOvfKNDPTpgxGk7IVEaULvwFWjf8DgFHEwsGpGEIUJlGoGjO98HLE/t8ZHHikA0MsvhMYQv24qnWR9DgO8YsmmkypUnpla5/4xszv4cxp17KCHeCLwhFoYGtLAnd/9nGau/9me7JOhWY5K9cicMGM0sOjCtXx5EPiflPwYFnX1ta0mMqMKNZDujM1aCwK/NWxuCmBty4txVPfX0a7EYVTHYfk1amiTwZuBAP3q1Ek6EaAhMuGgiTzYdr/7MXJe0uhHjKCIiQre5C/cuvovhHS8GXm7HH5Ua734b3e59GUDwIMcaO+qh3Px5rvh/n62ZhUd514Pn0SnNsxD533NXFe/Qwmh78Ocrv+yVG/Oly+Gp7mNKkstgIuSW6Mj+e4LLrX08nH5EgwLl9S7SNMAkUxSVQlpb1iSHFpuLleflMCrlPK2Gw4PgBLYYU0BAp0LFhLTx7h6CeyDaXfhMAETxjnhMEONavZS2UpArZ9xJRRIPtg7R1s2b7ypPiXKjUF6NiySPwdO2Dt/ugJN6UNxFqy+isXsFnhGxgkMVnBsoO/LHll2j3S4QwIaZH2iO48UTrb3B3+cMoLpMu1BG4d7dIQQF7UfTiFgkI+gcHNA3QI6+VjWGmQmRrfMmCgSuhwjsWoeXBZfCTt8EQEJBzOFhtwRsXjIFPJYcqEMKta1tQsL4hrQMirZN0rgBu/+tWRDKpsjQBisiJEDQB5lqXCIpACDc9uws5YV8JGXlBh88LiQrV3fcenvzmDLTrIpPVteC5Lujkb0Iho76F6NTxvmszONc2TC74EVQaIyMgJgeHEp5WozEQBDah9rz+Copu+w7U1UMTMkoGqrVTO2BSiCICrS3Qz18IJ2UVkiD3squSTkaUNVCWlcF3bIjEQVGAbmri2r1hzrzUHIkB+6IfUAUQpCbTcBaMcwOyOkDWGA0QQkEEuzog01XFKVbG+hwkg8tPzhknB3TOtfkT2S2Lzx5ZjkEWnxl2ubai1d+U0FyJJndBDGF5LwnCxMO6bF/UNCgJ6PURHNOb8I/qiThqMEOl4HDHxYWYVBU1KIpAbtKg7FfnwzyEWveb51TjoR/Nw0uXT2BBAcGnkGGPhlaoYsY/Ro03BLVfuqU6QlrVu8a3Q1SFYOITd1NM3tMJi9ULWaK3F0Rw3gAmbYq/+AuiBY7A1xAQKuIepyR3C0LY2/M7zDlLlbROwkFAGX8QJr4LXqUKm6bMwrunn4uP5i9Fa24BnFs2IuRO4fswRAQ6U5deIiAGP/EHWOaAAgCSTWaEPTVzVdTPmJ3mfTKT+B4Anoc8Nw/6WXMSPk06B4qCosQcCBpnbLBCn2egBghSb0lMUChqgOAEIDAhLhlApZD43ckzIKtykPFq+IJW2L3H4MlQ2jyLLweyGYMsPjNsd24MaxokXn3S41Tvvq7wm3GPsw6CFJMtXdS8xTZ0XrEbPQETjvSOhSFgwzeqL8T8iTlx3IL+4JVy5Jw5XspIZDihh3igqt6OzTMkCeNYbJ6Qh8UryEwmo10NmG8TcRUoUyDKRPQullblhVwdDFw3HCIpJUaPbdK+zpRcB14Epu7uwPLTR8Q+ys68J3AWFKpoap4Luy9Sa9uoJRvR2z4Pu9c7owJ/pHgrEBGyDYsUr2LnuMn471kXISBXgCfCJ8dh9SmnYezRA/iBzQqjdmBgdjyQ6TLjJ8gMBiZfTOZDzs0bmQ0zlQj0M2cz6+ZUIGlfcl8cCuRmC0p+dE9CtUICr1Si9K570fr4o5L5UCRwCYUgJ24EOAS7w5OzkA8IiezJIw6b5YDQBsh6WGlEURjfDstzMhToZqLTtSWpnDU97vA1YHUd8RPEPnGj0blXw6LNruq/7MgGBll8ZvAJ3rRWzH7Rx2qiseldcsdLmy2QCwjku2CAC9NKWpic74LKGzMaFxEbdbMq4NrckFFwIBOA4naaNgfCZVDAurABOavi2/cyRaJJXVFohPxrJujymuAOtEHB63G1wY5/dOciJEqFFILaG0ybElT5E0nc8giKlQgJZsj4XvaI2HexENHr34Or7rwYsxYbsWWlHd3tXij1HlQV7EXxjv+i0VyJV867PHwAHATqBgjjUNUYPOkO4S4MLzQTasBrtJIXQRIQX0AzdkI4O5SDnLA0MH2/SIPAsfZThGxWyMxmVvdXVVXHfe/YN4EMiAZJEuR1epTf9yumL5AKFACU3fcrVhZxE99AEKCuHg1lxQjUf/+26Iah8jg77IEQpG1kPbBceFnC0shI80XodG1NIGhFkLZ39CMn2nxHsaXlIUwr/iHydUk6TLL4UiAbGGTxmaFQWYq97h0pggOO+Sz0v7ARi92xOoUyIge4x3RBeyAfxo3lULYZIFfr0D1/K0xnjOtzUkwF1WUFcO6tA9zUAZCubAH4+nkwmGxezNrWirFNrVDyGnjKeqFpkrwPBosQB9hqCjF2zkjm/qgeV8jOSRnifQUqjE78uW4dmoSR7H5nngYl7c4+zkJ/0GF15SYXFBKghwxSYEDoy4eQejPHoWqiDL7Ct9FiX8U09Oltmk8FPrCfDo4ClARpcXpsh8eHOo8PIzTxKe7jAa24LZdcga7n/5V0G8ulVzFCYdx4gkG0PfVHuLZuihITeR72jz9iLY7E6OfkcgTtNrT+7tdD6hwgaWLHxnXIWTpQGpiNQRTR69mHJvvHLNBT6g0oXroAhfo5TEuCDKLid0jZkVQhH6VvDDBefzn46VWsNVHGx59ro3okphb/ELva/4iQ4KHCgTQWhCDn1AhSQD7gdyn93vZ2/AXzKx5jjoetjjXM4IgC7zLjYuRqJ2cJg18CZAODLD4zLDAuxnLr20mfp8vLItNA5baccyZIgUECsDS7PARlhw6WFaNZLZ76/uEIofet3bAu24/Se86CenRU9bA/jvW8gSO+l6G4VQvzh6Og21MEjloNkoAul7snRPdXs7cTl795kE2OlK4XIeksDMbbIRY8x6F6TDFMS6mmnBxm1OFM5T/gEXXwijrkzOHA707Ol6CxbZxRnPx5VjyQEKW4cSyVTCY5pH7X49kbt6r0clq0qmNLE4n2C2y0O4c1MCCQORBJHve8/h+IgUDfRM8plci9/BqYFi0e8Jqul56Fa9tm6U6kWyH8v3PjOlYCyL3iGmbn7GusH9rAyKchSWBA53FP+5Noda5h6pPSZMyhy70Dtb1vYmbpvVCYclgWI9QbDtK4UJrSlIhACY8dFa8ADa8wRUNSIxxluRyKGLfTfN00LBrxFNqd61nZgIIQKhfsbE/ua0KgQGBdww/D9stSxsHlb0KHayMTOJpUeAcrV2TxxUWWfJjFZ4YCZTEuzL2a/d1/wqT7o9TjsMC0dMDrVBUWFN25iFR74kmI9KcScMxuhm63NOGxoCAC8hfwB9Hy248g+BNrCHe6tuNIz8vs74DZjY4rd2HDbW3wKYgLkXg179HKsW1qIXt7WqFf8d8D4EmNUYwey1ACgr7DEkRoJw/kLwwYiyh1H2g4F8x8B8TKdthmNwwgY0ayBYeqzdhVU5BgTwLkXB3k4TJCJREZw8/QBZ9Whp3ubejxkMBy/H4DYnqfA9I5aLBvxJr672JT08/RZFvOVrXHC1qpms85HyMe/wuTH7ZcfDkjFFY9/peERj7kuGhbuSJ5iyBJUq/4AK4d2+CrPXZc5ktCEsIlTf4UFLC36/uGiX1dATvbHmd6EzlnnBt9kYycSpNHBhTD2ic1RN9b9KPJ9hE2Nv0cgVB8yYsULyloGJd/A8bkXQOFLLPWUV8okkkS48ZOSoi1vW9ktI8sPr/IZgyy+ExxlvlC5Mrzsaz3DbT4SbAX0PMGLDSdyZ5TcInJWmS0NGJ0AWwrDsJ7oJ1NfOrRBTAuGYvWhz9EAElIYoIIweGDc0Mdk17uj3rruwP85vnCbvz9unNw3ct7YXAFEAoHI9RO6NQr8e+ra+DRKLDEbMSk949QNJIwwzDU4IBTy8FnYCykU/QLHjig+/z9CBS4YPp0BBS28JpfL0fvwlF4fkouhAHdHQLrLBijWMacFoniFjtVlBgWQcZr0GxfBQhEkCPmYfR5DeeEHD4E+3rrB4JYDarQAZY2dwfaYfUeQr31fbY6VslzcLyQabUDXAcTwbNvL2vnSwXR74d99QrJ2TDWxGgwIJ+GkviWW4SJnNL3Lcl7Q0CvZy8cvnrm2khaEKzkIW8CgtQ1MrC7gDJkIV0AjhlNA/ZF5/tY7xsYm3dd0veUZxgYJA9MRPZZVpkvZBmILL6YyAYGWXzmmGmYhxn6U+AI2RAUgzDJzZBlkIokroB+zgj4G3rh2toA7752WN/ek54wKOPgPdieMDDo9ZCTXfzKMI9rhqvUg0fvmImJB3pQ2Whnl8XaESbsH5MLUcYjjwPOfu4v8G2nkkLySXEo5QSmjvjzd6G8byY+1azBAc9uVpcep52ERaazUKqSWgt1yhLkqMexibbvGGj1OLcB9tkNkPfqoJUVYPaUh1CtkOGmHhtebu+BPRSd8HK4TsxTvIUiPn5iiaC5ayV8y7qgXWfBSOsZEBQhuCa1wrqgjgUgci6IMbKt2B+ay+yeE50BGYIYKYtI+EqflTvQit3tf8LM0p/hZIH4BRlt5ycnweOAIMB4+sDMl9PXgICQmLQaBYdu9x4YzJUo+vZ3mXU0yR37GvZAdEwEBJWUOSOERARzvGi7bhsETaJjE9BkW8E6C3jWsjgQBmUlNPJCeIIpNCHSgCSWqTQRsdzO4ouHbGCQxecCTAFukKtFz8F2tDz0AUQSD4rEApmqFg6CIEWbzpO/jWXi17CrJq9f+p1pHcLc8Qw+tRzBLO40JqCUdF8skT4wOFCOsLAAJ+H4BREhXwC7nnkDa6/e3UfWXGdfibX2j/HVgltxilFaIU8s+AY2Nt2LkOCNI49ROlrIC2B86c3gFVLQtcRiwiKzEftcHqxr/gMMXA8LgpKdGs4vQ/E/ZkLVbOo733xABv2OEuh2FaPthq3wVvVimnwlmoTRcIi5ccEBZSLoyBco3oCSiy8d0FipNOH0N0GvHLi6PhFQVabmQkSgHj2GWSkP+X1GjYFm/MAWv2StgvGg70uo7zM0zJ3Pbuz1IQGurY3Ma4M+s86S3WgqXweRD6UsNxFHIJnUMf0OyURrV/vjOB5kdmxZfF6R5Rhk8YUErZjbn/wUYjA0eAnjkAhNEqvjHM3YuJ+FvFcNZasBpf5GnKP8J3K5eG94GdcGg+Jf6C47jLWLRNSNssZJCg8YNycikOeCSD2O4awHmQtR5iOlNoMAjNpXCIUnOjYKECjIeK7jL2j2STVlnbIUc8t+hSL9vD6mOR1Pvm4W5pT9csAqTs5xmKzXokbdiXw+eVBAMH9czYICKpPEBjbk28AFORT9ezqKn56Fyn9NwPXb3sGpsh6oYnZYwDXgLMW/UC1LrvBH7PwIgj4bPF374e09ykh6ww2SPlaPGZfcWInnoamZjJyzvpJUfyATsK6CBDwGnbKMEQNTQ0COenTCZ6htVz+7EvnXz0bedbMhm6KWGKVpQLyCVCgynIIJBbeA56TMl/Q9ok+cR7E+vaGRjFNBrxxae24Wnw9kMwZZfCHh3d+OYHvYXGkwILE7sxb6WUSpG4jKnPPY5KQ5mAfL8tFQtUq95yIvILemDeVnP49Cw/ex760PMWavGvIAh+6CPOyY68aBKa3YOq8BVYcTEfqiBMC2r+6AsawKM4ruBieXQRQE1N3+Stqh8yIHrVMFX780MV2yV9s+xDUFN7P7WmURJhXdjvHCzQiE7FDIDJDzydsSCeWmM3Gw69mktWMuwMO4uTxpdwZNGlyQh6bewo5TczQXZ39yDNf/dBTcpSZ4fYdwoP1vaY+R3j3o6UHnrn/D1bpZUk2iyUadA8vYS2CsOmNY2+GoHbHpoZ8zImIcuZDnITPloODGWxhnofAbt6Htycel9NEgSYih7i4Eu7uYWVL/CZqInA22DweUryLnlAI9Kg9ldCz6uahL0eVDAWKupgZyPr24FI2LgksiE3qDnVDwBtY+qZSZ4PQ3slvirACHUuPitMFHFp9vZDMGWXwh4W8Zmp8BzTzqsYXg5Im/+gW6GRh5+AIUPTud6R/EuRnuKUL5Ewsgv389Jm/VQetWQBmQo7DFiHNem4zzXpqCxupubFh4tC+Y6Hvb8N9dF+1FKM+LcvOF6Ba74A654N7ZHHUbTDl0EV7twHo3ZQ4OuAeuwunirFEUJAwKKONCtwjKjEthUhPnIvGkK7epmdVzJoh0YQguPzof/gh5JAClrcqIjKa1atC0+t64oIAQ8lrRufMf6NmfPoAaDBQFhSh/4NfIOfNc8GGjIV5vYLLJ5fc/DEWu5OmgnzUXpT+9D9rJ0/rKULIcM7Njjsgqp1NNTIRRuVfFZARizz3HWgunFH0v40CIskG52ikpL+sjLRcjU0gdC4tQbbkMFTlnMWIojWVK8feglBkHjJeQox7LShFZfLGRzRhk8YUErx56ate1vhb+y6dBWWIa8JzgCYB7iS7i3IDFMwUHcJGHAVXKoxdfPtwSOXpfIaZuqMS6M4+gp8CKJZ9UQGE1Q+RFeEZ1wTa/HrYKH5pVY/Fm66+ZaRRNoFd/tBBFnDplbzoFBXWju+DRJRPYST95OIMBHLWtR4/zAwQCx1iKmHrZR+ScjxzNGMws+RmO9ryKRttHfa2Pfe8fLn0MCsSNsHvhXFcL4+IxbCXZyFbHCQ40BKgbAeuOJ4CRyQ+n9+DrMFaeBoUucVZmKJDnmJF31VfZjbI3/e2oI9CMHgvNd3/ESIt0Iw8C17YtaDtIhNXk4PV6KPLyk06+RLhstq9mbZueYAfkvA4lhoUoN50x6C4NCiR2tf0RXe5t4e+oxFGQcWrUFN4Gc9g++3igVRThlIrfMiJji+MT1gJJASiNt9iwICmxMYsvDrKfYBZfSGinltFVlSjQg38xz8Hx6VHkXjl9wFPO9bUQfanZ6qm6Cqavq8D2U+pRP6YLbSO7ECI9mbCpIRU+PhGBoHdf39RIE77f6gKSOCTGYt3SI0nHM05Tk/R19V4f/tPeja0OF9Mv5HA9RvB7MV2+AnBtRYdrCyYVfptd1MfkXYtqy+XY1f5/TEs/MokT292f54SiSze4rgoOcO1sZoHBmNxrGFvd6t0fleINnwi5DSj4L4CFqWOckJxDZ8N7KBp37Qlph+sfFAh+P1xbNsHf3sqsi/Uz5zDpYlJDJOimTofMbGFSyglLDBwH05Kz+rZPBDqOctNSdjteUKAxveTHrMWxw7UZQcHLyJz54kS4PlmP9sY/sYBGN30mtDVTkgZB6UAZA8o+DCYDkcUXB9nAIIsvJGR6FVNAZO2JgwV501gTp+797XaAvBjS2CQn3i0Hk1ULjVOBHGUAIeJuxVx3d9AEm2C9bDN7EOIFyCgjkQQuvQ/tpYm1GSi4kPOJJ8nDbi8eqG1GiKXlI7bUMtQJE9HkH4OvKP8CM9+JPe1PwaKZCBW1ivJKFihsa3kYVu9B6SA4AdZFtSh4bdLgTgodbHjCJFnemaX3oN25AY09H8LRfQgyF2DYCRh2hXlzSeZ6tx7oLQB8OtpoGfYfW40y02KMNF8KhWx4DZkiIBnjjn8+DdHrkcoFgoCuF5+F8bSlyL/2BjbZk8Ry8Xd+iJbfPAjB54sGB5T+F0VoJkyC5SsXDfvYWMCybTOzmua1FLDMZpmPCAyqSnYj2Nd+goZ/fDfsdiVFqfZVK6Asr0DJD+6Oe106dPoDWNZtw1qbA15BQIlSiTNyTTg1x8CIrFl8OZANDLL4woLY/IIvCPuHByQFREYMo1VoGma2KBEQE0FGQkLpXp8GIYWIqn5SBtStntgcGdgzoxmTtqZu0atdmLrf/RPbRzjHfDEM8mh5hDgETzW1IxhjrBSvJsBhXeBCnKf6GyOSNdtXYqTlkpgU973ocG5mj3uD3VDOM0MRzEXgzW7pfGfSDcIB6lHRNDqlmSkzod3kRudzh+PPNZfYG8iRA3QSyT1m05DoYUI6Xe6dmF36wLAHB65dO9D+1B9j3jDKEbCvWo4QuTKaTEx0iJPJYVx8JgSvB66tmyF4vVAWFcF0+hkwzF+YMFtAJQvH+jWwLf8A/pYm8EoVs17OOfNsyX45TcDS+e+/SWqKtOIXRXS98G8mCZ131XVxWQD3/r3oePrJmDeOnkR/cxNafv9rlN/3cEaZg6MeLx6qbYaPRMLCj9V6ffhLcwfW2xz4cUUJ5Gns0LP4YiAbGGTxhQVdzApuOgXmr9TAseYoq2dT+59zUx18h7uSv1AQYUggbkSgtsHuF8l1bvAQOBEdxXZMDJlQIPYwBcQIUk3rreVW7JvajPE7KM2f+MJq90fNjCKQBXiM2VOE8TuLoPYocaz0XYw5Z3GfydIhtxct/uSmP6Qx0C6OgE3Ig4nvgt1XG/c8TeLUuka3PlwN+E+3w77iIAJtdnbOvQc7kuxfaqkznj5mwHOBHgouKDMTin9Bc1huMTxPhWRAJ91P6B8twOVvQW3vf5mc73Ci57WX+1b9Aw9MhGvT+qjpEnXJHDkEXq1GyQ9+CvWoaHshZRE8hw8yhUVleSVzdSQiYtuf/gDX9i197xHy+WD7+EPYP1mJkh/eDQ21USaAa9f2+IAlkqEg+eYP32cnKf+a6/ue7n37jbhxxkEQ4G+oh2ffblZWSAUKLh+tb40LCtjbhv/f7fTgza5eXFqQWB8hiy8WsoFBFl94KAoMsFwimQWJQQG9/03eJ08geWFFoSHxvoqMMCwaBccnR5KTAZNMGNROmHPBJCwuL8exntfi/AlS/dA4lw7bKoIYT7WGJJi/fDQaqrvRWm5j93UOJS77xyzkdupZQELvLbb60LzpfRhOG42CW+anDApiYRPzYEJPxqQxZZERedfO6stK1D7xMoQ1HqbREGlnjEweH4fGIPfFDlx0UznkiujMLjcaE09WhwFEJCZ4wJkT5WgkhoAm+3KMyr1y2Ix7Ap0d8NXHB0mJ3zpm/KLIMgUtv38YlY/+CbxKhZ43X4P1w/elUgQ7Hp51NyiKiuHaEQ4+Y79HggAx4EfLY48i//Y/wHVE4roYxmugG6ViwV73qykCFvosly+D+dzzWXmABSX70pTaeBlc27amDQy22V3oJc2QJGAFnm4rLsw3Z0sKXwJkA4MsvlRw72pmbXKpILj98B3rgro6MVO84BvzJLLgKvI9IKMmSRRJVPPQXz4BvvdrEexyMbMaSgpQ1wFZM+svHYVRp52KHs9+iIhvq6N1FEnZxI6Mc2mhefc8KPbUYLpQCxGtSec/4iBMXV+B1vLd7P5XXpwKc7eUPqeggO0vPE85Vh2GstQEzcKqjM6ZAqRCKCBPN5CMmQ4k6Xv0rHegyC2F4u2ZsIhuhMCjARbsRRl6RR3qV/ngcbThqz+IWmjrZ5+CrpefHzjBEUNzHYAZkkmDP7YkkzBrQPxTNwIhx7D4LERskocECg7cbjjWrob32FE416/pt2MBzs0b+rZNhJBggrP3anQ/0B4tqQiAbqQKldfJ4G+oSzsG55aNzMmRnCYzGDSEQHrJ58MeL5M5SuUW4QgJ6PIHUaTKeiR80ZENDLL4QqKrxY/OlgCUag6VYzV9q9GgNbw6S4NQb/LtSHSo8JunQnvRWKz/+HV02JvRm+vE4YntCCmXoWb8OEza5IRhXz54vwz+Igccs5rhL/wQIXsQJYbTmPIbueNFEq90jafkcF8uw6uC/ulvgO+xgBNkKIItpagIERPL6qQ0bWGzEaUNqQlj1nf2YNJZ46HgOARScCZUcKGAb4JKZkGhbg4GizbHWohcCPs6J6CJeTAmWLWLHPZvcaHhkJd9VgSyM845+zxY30sgyGPlgJUc8u68Hm7vFqjeDkG/swScT4ag2QP7nEbm/SAqoyt2IjYOF+SkXcDzCJgEuKl1UgaoWgFVYyZNocQBWA/fEfKrSIAU4kiiqILD93UIkES1YnP2rjofDj8O6EXKHKRwouT4PidHXqNlIk2sYyL5m0JVll6lkM+wEyVi25DFFxvZwCCLLxQ6mv14828dqN0f7bPX6HmcfrEF8881QZ6TWuEvApk59XZk5vRU4I9omH2sz5sggj3CftTPBBbNbBwwDe7t+Cv0ygpMLf4hNjfdH7anlSbmKnAIQMQBmpA3zAXfndtnC92fHJgILDMBDhVHcvvKB8kQsnnR8HEHph5Votblg68YcE4E+rsiT5WvhFZuYL301I0wWHgCHaxfvnXbdEBInsqnMvf2Tx19gQEh97KrwSmUsL73FsRAdHXLF+QieNNk7Gv/GHl/G80UFZmGBJOo1sDywRjodxWh5eubIapE1k2RTtkxApJWJsKi3XeMlU5IEMioivdMELUydN2UA3thT/gBKbJTdAKFrwHKFPQVQtKgIA18oekkgJw4LSIAASvgU0yHWrY++U6EUJ/CInFwTGecLfElkgSH1FVhmL8o7dgm6zWMQ5AMNOICpRx5iuyU8mVA9lPM4guDnvYA/vzzJvg9ApQIYDTaUQg7RCeHY8+a4LWOxZIrS8EbVMxaOSE4iUegGikp2iXDNucG1HmPoLjRhIqjueAFDi0VVtRXd4PmcmocJJPo/jY8NHE3WJdhUtG3Ma/iUbQ4VqHF8SmCIRe0ymJMM54BpWok/ritDd6Yib0JFpjhSp414DkYp1WhQHGEjUWqYaQOJt79VwesMj2MtOk2IHc50HkZ4K6SjJ/mqnZiiUGDMtN3mDNjMghiAHZfHbMJNijLmSJfBCS3TIvgkDf1xEzbOG3xiWiauHIvvhw5Z50H967tEDwe8IW52Gd4HTbPSlQ8t5BJMUeCp8j5pYla2WqEZcUodJ97qK+TIh2IXLmj9fdM4peCGToLh7tfhFkzEVOKvsN68ylw2NbyCOxFMZNg+DQHcoGWG4CypwF5Elfv44EvJPFkUiGgnAe1uHFA5kGUAa7RQMiigGZcEBrBw4IlUnR0794J76ED8cFBuJuh4ObbINNHP89kmKDToFKtRKPXn1AImfZ8QZ55WOWqs/jskA0MsvjCYPkr3SwoKBJ6sQT7II+5RI1AF/xv16N77FLkXz8H7U98knQ/edfPSXsB29a4Gtf8fS6Kmk0QeDIrktL5Vosbb167Dd2FLtQnCAyodNDtkSyFqYWuMudcdusPvzW8Gg3jAIpQg6aw82JiVJx3Cu4uWojlFT8Bn0LzgO0fMtigoQUkA+Pv+YGil4GyO5tQYn4JGs6GFifQ4lwJg6qKaRfEOhvSJFnb+ybqrO8wK11pPzLWbjg27zoWIFDHwpGelyHXuhB0S5LCiUDzkNGS+HJDXgQRx8Aj3S/D1nsE2kN5kNuTiz4RydGwpQwl154FSwZqfp5AJzY3PYCQKAWMsdx6q2c/tjb/CnPKf4ke956wAFOig5Bcjm2zpSBruCGKFFyl/l4GlWqETCrIOqKaCY4aoPssQKCXi0F0d/8Z+3v+gVGWK5j3B2kV2D56H9blHyBEhk4cB23NZJjPuxAaknTOAPR7+VFFMR6sa0G7PxCRp2KBLI3ivNwcLDaHSyBZfOGR9UrI4gsBv1fArvVO6AQPzsBeyCD0kdUjNwWC6HlsOTSTS1B4+0LI+pUV5Pl6FP9wKXTTUmsGCP4gZj+Zi4JWqXOBJuGI+JCxV40r/jabdQUkYynEehDQ30LQBzEyQ4eh0cen3V1QYwUmMJHkuBUZ9YXLOBTduQjKshx0urdAPrIL/lwiPyauV9OjB1BMQrj9BiYt3YOftrKgIBZOXz02Nf2ClQYi497X8TSb9CNBgbSLEFodn2JT830ICh4mj0ucipKZW6Psx0RjEoAZpyXuBOnbRgwxOWZ6F1WzMc5rIhF4vxwWZ2YGQ/XW9yCwoGDgPilIcPjr0Onailbnmji564FvCjhnHj+5Tj0q3MIZ0Q/gOPAcKV2kcuYMwZ/bjIab/QidUcVeQ4ffeREgRGKocIusIPpxqPs5NNjeA69UsiBgxO+fwMg//wvVTz+Lku/flXFQEEGeUoFHRpXjttICTNVrMUarxmlmA345sgzXFedlswVfImQzBll8IeB2htjqdwJamPp7oks3PUYa9vaVh2G5aDL0p1TBs68NIZuH6Rsw86QMBFica4/B0KVMqClAvggqrwJTNlZgf0KJYh5G9UiIoQCsx5bBdvQDBD1UlOagLZoO85gLoMkdixmLDPj0XWusTxArJ7yKWRiLNpSgFwUlSphnlcC0ZCxryST4Q3ZGMGu/djtK/jYbvEfR1yIohssL7TBiOyoSHpso8OjcU4OxF74V/zg5Nwge1Pa+jQkFX4fddxTNjpWJ98H0A5qZ70GV+UJMKLgZgbOfR/tOO/wOA8QEXIPppxlQWpVa9tkfsrIuhz5vhkz0kxSZtShSMJPYDTACHm2OdQiKnjTbkSxzEPk3fgOd/3waQwFZOBfd/j2E7HbYVi2Hv7GBaSCoLWa0fJA8KOFEGfyzNrHgrGFWPeae+QCae39PagVJEw1Hul6B+dA4OJYfgb+uB5xKzrQ6TERMzU9fQugPJc9jodnIbll8eZENDLL4QkCjk9F8iEqhO22ay7W5ngUGJK6jnZS8dp4MjnW14V7xxM8T6W/8jmK4EwYGArrdO7Hm4C2w1Hug6uNIinC3b4e7bRsKZ92JeefOwtbVDngo4ImZh9xQYQdfCeu4sTjlZ6Xg+wUyankue49AgQtNd6yFcWMF9DtKwHvlCFrc2OOvwO6uGggpzpIQSLzipQmxxbEa4/NvZGqHUh0+2SQpMuVBIloS72DayBtQ+mAX3ni6GfW7qY1SGjd1jcw/NwdLLksvfBPrfeAe2wXL8oHCSP0zQMQXyQSU3UgNAQHBxTIgqY9b+gx0U6ajE0ND3tXXM50BuhVc//W+x0VBhLuzFdbt7gHfPcoOBcccQmC8VOag8dUFP4KPgoLkhwTzf6vRse2TOKVK63t7YfvoAEp+eiY0YwuHeBRZfJmRDQyy+EJApeExYZYO/MbUqzlW+wyk6rZOD8HpixUtTDwenxwVfZXWgfAoPGipBoqPAerInBROD3RsfRIjznkKt95Xipf+rx0ttVGiJMUjk+bqcfEtBQOCAkKBbiZknIZJAocMfvQuPcJuEXS9a4HQI8ZlpPXwYgzaYIIHAVoZG6lYnriQSCnokOiHO9CeduVMK/ztrb9hZz1POw0T8m/CrfdMgbUrgNZ6P+RyaiVVQ6nOrGJJ5D+jaiQjCfqLHfCM7Ia61hxHPoyF+cJJCTNAIcGHNud6ZiREnRYFullQy/PhCbYlfW8KBigoKDOejiY7lTOSb1lmXMImdVX1KPiOHc1cQpvjoCwtg/G0JYmf5jmM+n4xWl7rQfP7reC8UoZFUHvgn7MR3sUfhw0l2KOwesjHIjkMW8tg2Fbap/bZB0GE6A+i9bfLMeLJK8GrstNAFvHIfiOy+MJg6WUW7NtkgFrsScneV8Vo8w8FilITfPU9Sb0AKGWvLbKg3Hgamu2rEgcH4YRDdzFQeqzf64UgHA2fIG/Uubj94XI0HfWi6agPMjkwerIWOXnJa9g00Y3Lvx57O/6S8PmSWZvRvH5e330iNM4CiSdFBzamR4Tvz3PResNWCP1snMmel4ecBQaZQ0S3ewc2Nt2LyaprIAuEUFlugSa/BhyleQaBkeZLsKPtUfZ3+1U7UfTvGVA3m9iKmQKEiJgUKUwal4wd8PpO13bsbv8/JnpEREkaGxEoNfLUK2MKgsqMi2FUV6HUuATN9hUJtuJZ90ZFzlnsnuWiy9H6u4dTHxCZLxFCIagqRqD4ez9J6UvAyzmUXZmLo9N+gWCb9D0I5XcCioGOn1wqpUcRMK2tTPk8CYGRm6jxtKiEcxZZELKBQRZfGBSWq+D92mQE/kmTcRIIInLOyIyQlgxU03eu6Tebx4Bq+nlnTYVP52Ap9+Qbkhsg4FcCyjjJQw4+G/U0SCirVrNbpig1ns7UFVsdAzsvdAWdqDrjQ9R+dCZGoAOzIUn7RtfVUoigbDOg8PlpaP3Gpr4nadVMkyMR8KilbzCgidUX7MWhtieQG16Yy9Rm5E+5CfoSST45HYg/QQGJSTUaNt9hCNogWm7dAO2hAuh2F0Lu1cJcORH5Z8yCqnygwJPNexQ7Wh/ty3RQLT4COh4KeqSuhIGBnF5Z2aecOCH/69AqClDX+3Yf54GCjCLDfIzLux5yXlKc1E2agsJbvo2Ofz0N0e+XggDKHggCdNPI1ngyM0ji5Apop06HZtyEtAS9YLcLvoYe5DrGoy1vPQRlYgtw+qzytFNg9arDHhfxx0RiUMquNBwCGQfvwfZsYJDFAGQDgyy+UKg4cwS6OibC9u5eiBwHLpLGDddQc6+ZCVUV1eGHDjIhMpw+Go6VJNzfDxygqSmBYUE1rE5KOScvJ0QQ7B8YEK1RdnzMdpqgiCwnMiPneFQu+gTa3B6Me60aQiBx6xEJBmkazFA1meArt7GJhlL5I8znY2tLmlVwMnCA3QJY2qSzEvL2om3j71A890fQFZPGcXJQ5oW6IGhSp7H01fl5Du5xHXCPo0CFRKM3okhxABOEW5gDZCzITEn6LAZ+HoxcKXphVk9Ar3ffgOed/gZsaLwbs8segkaRx0iV1OpHky7pN1Abp1I2sKvCMO9U6KbNgGPDOgTaWsFrNNDNmgNVaXo1wVgEe9zo/Ps6uLY1suGroUWFahGs8+tgPe3ogA+R2lrLTWegyDAPm5vvhyhSEBTrVJlhh0C2kyCLkxkY3H///Thy5AieffbZvscaGxtx7733YseOHSgpKcFPf/pTLFiw4EQNIYsvIWjFlffVWdCMLoD1vT3wkosiTdYTipDzlRroppYNy3sUfGM+VGVm9L6zB6HesMSsTgnTmeOYYRMn55m4TybUeVl/yoMYgq545nGNkTQEqHtAKinEByc0qVZVW2EKRNUhE4HaAbX7C1hgYNHUYELBN6CUmdgkmQlCfgXad05B+87JCLq10OR3sVJGBXcUspjT0rX7WdaRkWy13OXagb0df46OK06RP7Kj6A7bnBsYUXB68V3SOLy9CIV86HCRMVFyXgSt+h3+2iTBnMgyFgc6/4lpJT9ij5AyYo46/WqapIdNpy/FUEEOlU0/f4cFB7HD4n1ymD+uhtymRtfFe8PHQAGTiJqCb/WJUs0q/QUOdj0DmzcayGr1ReArNRAaPMm/oiERmpqIY1UWWZzgwGDbtm148cUXMWtWNIVIfdHf/va3MWbMGLz22mtYvnw5br/9drz33nssSMgii0xBE4x+7gh2i2gGDFcPNe3P270ffnsT+ElqlJ9+NoRekTHGyVUwtj0uXzcdPKdkhL3EOwPkfkAZS4jneCgNpdAWkK/A8YFKCjSRH+15jbUXEmg8pcbTUKk7Fy0gG97koBp1oXo2JlbewVLn0vFHWImpiYdeqwk7/n4TvL2WPqkbV1c+uvbWwFmxAwvnvAY+TJTzu9rg7NkDrXlsQtnlo72vZ5R56d/50dLwKkKHN8LvaAKTmZiY+lWUNUjVnUDPd7q3wRvsDnd/nBxY390rBQUJOC3UMmvcWgbvPCsCJR4m4VyZczYMqih/gIKXOWUPwuVvZWOn7wRlOJwX1qL9j6sTvynPMZ0P/ewUPIQs/mcx7IGB3+/Hz3/+c0ydGi/vuWHDBpYxeOmll6DValFdXY3169ezIOGOO+4Y7mFk8T+C4RRV8fYcRvuWPyHgiiHecTKYRp6FvJprwfHxZC9KZVdbLsPh7heSDC6SVicJY2IjClDqS1Ay7+5Bk/IiCApe9Hr2IiQGYFBWsOCEblTfp+fUcgszFBKDIZbhSOk0GRKRM2p8X1DAhszxyNVOQrd7d9LggGKxvS9eDa+tnydyWL/gWMMUWHLaMW7yp7DlA64cSvP/EujlWFcFEQyJ5EfwhxyweYfgLSByaGx7DXmOqLOkLACEjlt7SITL33JSAwPbioNJia4MPDD68OXInz835X50ymJ2i4B0PPwNvZINeUy7In1c9N0ouftMZhiWRRYnPDD461//irFjx2LEiBHYtGlT3+M7d+7EhAkTWFAQwYwZM1hZIYssPmv47I1oXvMgEyaKgxiC7ej7EIIeFE6/dcDrRuSczyaToz2vMk+ByGpbzuswxnQFtCEP/PZG8DIlKx/I8qrQ6PwULnsL07Iv1M9Bjnpc2gCHVvJHe15hCn4RWV9Cjno8agpuhVZZhFh/Qbrga04vhfPdY30CSHH7IxMmjZJlXfqjKucCtiJPBntTGRzNqUo2HHYdmQ/tpWvBk1BR9F2ZumCnaxuml9zFAhBBSOEUmBIiQmxOC2eMSJWyB+ilGOc4Y0UZN3gzqXTwWmvh6djFPke1ZTQ0eRPZZy6GBNYemwqUrepp2YM8cfagAkraf+5VM6CbWcF0C3x13eBVCiZwZFg0CjL98DlSZvHlwrAGBkePHmUlhDfffJP9H4vOzk4UFERXJoTc3Fy0tSXvLc4ii5OFnv2vsjbCxOlsEY76lTCPPh9KQ8mAiy8R1YgI1uHcwurUakUe8rXTpbR5zMKzwfYhDtb/LuyHIK20G2zLYFaPZ26MCllyr4F9nX9P2EJn8x5kbYKnVPx6wCq3/pSPoN+Rz+SF6bAiSo5MapgDnF9tB68ceAmwaCdifP7N2N/5N+l09JtorUerAT6U0k3R79bD05UHXWFHvzNJgQKHXW1/xKKqp6CU5zCWP7UXDhaKfskQUyfgMgD+AZYDUpmCvAMouEqlz6AgLQV1NYYLQa8VbZseg7f7ACsjMYgCFPoSFM/5ARSGEnAaBURPv4A0FrwIl6oFjfblqDCdOegxqEfls9vxgH4bzuYNsNevRshnhVxbAGPl6dAVE3ckq6z/Px0YeL1etLcn7m/Oz89nJQQqC+TlDXSu83g8UCrjI3G6T6WHLLL4LCEEvXC1bu4TIEoIjoejcQ1yJ1yR8Gma3EqMC5O+vMO5GQc6/9F3n4KDCHq9B7Gr7THMKL0n4WudvsYkffWRurmL9eqPz7+p73G7txZ28SgcX6+FcX0ljBvLobBpmNSwc2IbbKfWMREhd6AjrpQQQblpKRy+OjTZBroFiSKXESOAtkvyDAKCAx2uLSjSz2WCQXXWd9PyGuLAAYZ+on898lzsss9Cg1ACURFEhewARsl2IFddhpHmi1Ggn8Vq8E3sXCYe/UjzRYx0OBwQQn6WhQo4W6UHYr5fAVcbmj69DxVLHoFx0SjYPtyf9PCpg8QxtQWu3ndQbjzjpHsShPxONK95CH5bXV+Q5Xc0w922FZqCySie+0OWEcviy4NB/QKoHHD99dcnfO4HP/gBQqEQrrzyyoTPq1QqWK3WuMcoKFCrM+/fziKLEwEhQGzwdJMSh5B/6F67RBBMTrAjR8bdbDKP1N5j0eL4JKVMLz3ebF+NcXlf61u9OfySToKoEGBbWMtuCFFxmaUO+kB9/5TxoJJG/wmxynxBwknUVNGQ0A8hFnK1B9o88ohI3iFAAQ/0c5ltcpd7F5z+xoyDgxzS/IlZU6w3zcW7+eeBhwCBhH8EEc3iGOwVL8S9+WUoUEtp83H5X2MExDbn2j6zpLDtEDsPFaZzMFygFXbA0Zz4SVGA4HfBduxD5HzlXFg/2Q94BRYExG3GiXCP7YCvwgrqTPWHbH16CycLHVv/DL890qkS/i6Efy+ejt3o3vsC8id/7aSOKYvPUWAwZ84cHDyYWIbzuuuuw549ezB9+nR2PxAIsEBh2rRpePfdd1FYWMjaF2PR1dU1oLyQRRYnG7xSD46Xh0sJSSCKkGsGZsLSdTj0eg+gofd95t6XCjRJdbg2JwwMiFiYbnVOzoHUpy/ntH3dCQMQ20MYBk3GpBTYYPsAM0p+GqcNoFEUYFzeDTjQ9a84CeWcqmPQ5HXA250LUUwQIHACSuZsBC9PLk1NGZNIhwJxLWaX3Yfa3rfQZPuoT1TIrJkIHjx6PPv6WhhVMjNK+OlAWzSDclg7Cu8WfEU6DxFHyfCq2hkS8au6Fjw+ppIZAFHwM7noDlT5LkCrY41U+pHnocS4KGHm5HjgbFqbpttCgKPxE5aFCn0PCP3TCVVL1PuBSj6Oac3o/gqVIfCZgIi4rrYtKbYQYa9dAcv4KyBTRPljWXyxMWwcg0cffZSVGiIg/QLKMNDjNPlPmTKFERNpm0iWYOvWrYyAmEUWnyUoDaovPxWOhtUpMgcijBXJSwWJLIT3tD+BNue6DNlwHPMoSASl3JQ2dU+BACn7RZCrrWGr8nhNgESQ9mrzHmE9/DWF34p7tiLnbGgUhaxUYfUekMbjV+HMr+zG8teWwu0U+6wCOI7+5mCuPooRp6dQhGQQWIdCBBQcjM69EqMsl7PAgI4nEqRQ54Lb38IeY216oojGI4dZmyJ9XmvMC8CJIYgJJILp0+wNhrDR7sKpOVGBItpPbMvfiUDIRwGOmD5bRUFQ1UTsvO33UDYboWo1sJKPZ3Q3Qvrod4I+B2pFPJnwdEmmTakgCgH4eo8MSwtuFl+ywIAyArEwmUwsAKislH58s2fPRnFxMe6++27cdtttWLlyJXbt2oWHHx6iyloWWQwjLOMuhat1C4SAK2FwYB53CeSa9A6BERzreS0cFCCj/nyawPXKxGp5JYZFqGc1+OTZBtomlgRGKoZlpqXMGjkzfQCBWROPtlwFlSJebjhfN43dqB1SFIOs44Kr4TBxXgibltuwYw25RArIKQzAMOVVFEza3a8boT94Rs7UKUsHHgvpPMjiHRNJcVCpifFF4ICS+T9F64ZH4ek9iqOa6pQKfnRWdjriA4MTDcoW8fJ0ZVIOCq103czXzWDkUW9pL/yliUtW1AFzsvkF6Uts4c0yNZLK4guBkyaJLJPJ8OSTT+Kee+7BJZdcwgKGJ554IitulMXnAgptHsoXPYiOnf9gbWURyFRGmMdewrQMMkVI8DNL4szBQcarGREvEQyqCpQYTkOLI5FHBM+Ij8QH6I+xedexVHm7c31GAkLEVfi0/k6UmZawertKHh8g9Jcg1htlWHyJhd3Y60URm5v9sKYWXESupgaTim7H8UCuzkHZogfh7D4EtKVp9aTPBCcP1JLYse2v8HTtTbcljFWSYiLPyTCt+C5saX4gXEqJtGFK3BIydiKS5smG2jLQqGoAOBnUOSNPxnCyOEngxC9IqOd0OlnZgcoPen0ac5AssjgOBFwd8DtbwMvUUFtGMf7BYNDr2c/06zNBhAA3tfgHbNWYqjRxpPsl1t4o6SVIMKlGoabwtj553ESwe4/hcPdL6PbsynhMtGqfXfYgNIrBtbkFQk7saPsDE2GSJjU2elbWINOfKsvFbMzDufL90eEGNPn8ScMeeqevFuXivLyBxksnAtaj76Nr17/TbMVBnTsOpQvuift+USBHxlxtjvUIih4mYkWtsBbNpJOfLQij+dMH4enenzh7wPEwlC9E4YxvfhZDy+IEzaFZE6UsvnQI+V2w169k1sYhvwMKXSFMVUuhLz1lgHphIih0Bew2VEiywpkhTzeNtdKZ1KNSbkcryjF516LKfDF6PHuYDLNeWcGyCelgVI9kPgiUDcisrCGwCWpfx98wo/RuDNbDYVbpvczpkMiUIcEHvaocRfp5AzIOw4Xz8nLw5+aO5GPiOCzKiS9PnCjQZ289nLzsE4GueBYKZ90+IOikgIyyNXT7vKBw5rfR9Ml9CLolIysJUgZKZRqB/MmJO9Wy+OIiGxhk8aVCwN2JZrqIeXr6LmIhr5UJzNjrV6H4lB+f8J5rvaoiI+LfrNL7YNYMziJaIdOiUD970GOilT9lJLpc21IK/ERA23R7dsIT6GDdCYOFSV3NbicDC3MM2Ofy4BOrI87lgQ9PX98pL4L+JEn/Wo+8h6AneZtmZGQKfeFxfQ99QgC9QRfUvBI58hPbDUDcmvLFv2YiX/a6VQj5bJBr82AcsQSGilOzGgZfQmQDgyy+NKCqWNvGPyDo7e23Mpb+9nTuRc++/yBv0ldP6DiILFdsWIAWx6cJ+/Ipxa5XVQ46KDheTCy4BZubH4DL35Txa5z+piEFBicTPMfhW6UFmGrQYlm3DfUeH+Q8h9kGHc7Ny0F5WMPgZJQQuvc8l35D5psxtAquLejGKz2bsNpxAAFmtQyMURfhcstsTNIOzup5MKBWxJxR57FbFl9+ZAODLL408PUehc96LMUWImy1y2EZf9kAxnhnix9r37Niz0YnAn4RheVKnHJWDqbM14MnA5pBYmze9bD7asOiPbGTgGTXPKXwOzjZoDT13LJf4ljvG6jt/W9Gr0moh/A5BNXf55kM7PZZgNQBu/Y8n9nGYgiavPH/396dAEdRrXsA/09nJjPZ940EoixBkFUQEAN4EQTFpyLyuF4XfM/njlqKK1qioNcdLRXLwuW68cRCtLwoKIpcnxgR2VVECAIXA1kI2ZOZzGT61XeSaTLJZJJA1sn/VzU1Sc8kaQ7T3V+f853v4GSCgof//AiFrnK4632m9tnz8Pcj/8S8pKk4NyKj1b+XqCEGBhQwqqQefTNLBus1drWokSxk45H9cyXeefqoWqzGXfejOfsdWLk0D79tKcdf70xudXAg6x6MSVuEnNJvcLjkK1WK16JFIDVyEnpHTYPV3LHz0T1k5UVJjmzJLAUZDomynmgnalr5n1lSA7n5N5o0mG2xCE0e2eq/IT0FDYOC+uW1l+VvwKiw09TwAtGpYGBAAaQlFfw976vlsLuxfEku3DUnCvUIz9e//FiBTetKMH5668vQSrJdevRF6tFVVFQfRbHdd/XShiRHIrf8O1UPIRBWz5SLt9zZW0ITENFnopry2FaclcdqF0mq695vimYOQcr4+1u98JDd7VTDBw2DgvocugtZ5dmYHDm4Vb+bqCEGBhQwQhMGo7CZwEBOzMFRJzL5d24sg6PKfzJe1ppinDMtqtOmi7Ulu0syy1vuQPFqNYe+u/7bZRntvG2v1ZYnVhdjGd93o3D3CsQNvhIxGbJs9qkLska0qBhQ6oRHYY1sfS6AJBp6cgqa3AdoOFLdYGUpopPA9TIpYFijT68tyNLk3ZhJFSqqn0X9534HmpvBeDzfBXtlK1b+68IsWutqgFQ581Bd4734WXdSsOsftd38Qi7c6uKq1wYHvy5XM1XagkyF9U9DSMIQWKNOLkEwRLM0+x4ZUgjhMAK1AQYGFFCSx9wJS6gni77uLrcuUAhLPkslHtbXgrIGde/rnnfMDUVYT0OIuXWzDOovEd2duKoKUXpQ1mxoev+P71nVqroT/ipnRvWb3sSrJjUTIW6w75VnWyLaHIb+1iS/q27IMMO48I6ZIkqBjYEBBRTPnOuEEf8DW2wGLOEpCE0cjuSx9yB53PxGBWX6Dwv1mzMmPehp/a2w2gLjUJGx7QHxf2vx+2XlQWtQ243Fu10OlB/ZjNKD36Cy4NdGF2XdXaPG66UOxakWZa04urXZnBMp2iPJqG0hfug1iB5wiYxX1W2pvYwH2WLQa/wDXgmvJ0OmJDZd3dGEsWH9kBrc8vU8iJrCHAMKODIVUSodyqM5g0aFISbRjJJjLmNGQn1ybZp0SceU0u0osiZDTeIt+C3/H3DD/8IGkjjZ2kQ5X+QiX5z9OY7v+Qi668TfNIcmIHHkDQiJH4yifatRsv8LVUBHroCWiF6IybhUJQqeTI6DBCG1CYH+ewTc9fbH3/4XOl1w6TriLBZYfMxSkXaKH/I3xGRcooISt6uqLjAd2iZtODysD+YlTcGy/H+hWnepnALpzZGegjFhfXFrUsevpUCBiYEB9WhBQSb814O98ObiHJQcrzFqz2gaVKBwwV9jceaYwFubQ6ZNSoBwqHgN/ij6GG7dVe/uunbKZ3L4uegT1VT3eOsU7/0nCnd/0Gi7q/IYjnz/JKwx/eDIPwhk9wayhwOVNjgtLuSn/wv26X8iMfOqVv/N4MjU5hMCTVKFMNnvW7JKyvBJfhEOO2qXQA7RTDg/NgpXJMTCFtT4gh8UHI7I9EloD5kRAzEq7HR8X7YPR53FCNWCMTa8H9LYU0BtiIEB9XjxKcG4a0k6dmaV4dfNFah2uJGSbsWY8yOR1LtjquZ1Vk2DvrEzkRp5Hg6XfI3c8u/V0sqy/HOfqAtUCeW2uNOVKYLH96xstN1VY4bTaUWwxQ5H3kFgw9lAsadAkQlwWoD9aSh9rRIhkbsQMWyYzzt5+/G9qJQVMXU3bDH9VY0A2e/QpBGqG19KYvscUjBpas0Cs7XpmhKrC4qwPK/Qa2y/yq1jzbFi7C6vwiN9U2GTKLIDSYLhlKgzO/RvUs/CwIBI7i5tGs6eHKUePY0sr9w/brZ6tIeKI5uhu6VHolZpeSx2/Hoe/jg0DG7dDE1z4YKwn5BS7lRj5V50Ta2ZnL90C35+xoa91bmqpPTQ0DQMMYUj78cltdUujamINTCHxCNl3Hw1SyVp9DwcyXqybkZCvd4Dk4Yga5TfBYDyq53437zC2t1o8Jr8pgN2B9YeK8bMRN6tU2BhYEBE7colOQOmIHXRLipJxGfrb4TLZYGu104J0dxAYpkszdxEHoGuQS8B1mStx4G6/L21JTsR56zGNVW5iFfvOXHRd9mPI2fjYvSe/AxCE85E2sRFKNqzChW529Ql3qRZENFnEmLPuFwlqzZlQ1Gp35JZsn3d8RIGBhRwGBgQUbuSEsCeioDf/Xi5V1AgolAFczMrPtZoOlJzNGQPONHzUGQ2463Th+DOvVthrT+1RHerhMKSP75E/JCrYIvpi5Rz7oXbWQW3qxJacG0xorLD39dWQ3SWIzgiVa0WKEmQnkTHow5nsxM1i1w1cLp1n8mIRN1VYMzBIqIuK7zXGJiCrCgsSsaxojSvoEC4W3AaMumAq8FtjNukodQcjB3RPuoyqAv/Rq9NmiUE5pA41DhK8e/196Fgx+uoOrYb1SWHUJ6zCUc2Lkb+9mXGFMqQIM1v3QAh/5IAKXFBZGBgQETtSi7IcudeXOq7sFIxQlGBYL9355puwt4M3wUnfo5SgwmNyHRBX8mKRzc9B1fVMc+WuqfaYKDs0AaU7F+rvh4XGea3H0NOnuOiwtWyz0SBhIEBEbW7qL4XIC7D9zx7HSb8jLQm785rTDp+z6hBQaKvmQUmOIJ8jYiaYAlrPA3RXvg7qksO+p3GWLTvM9VrMDQ8FP1CrD5PkrKvMnpwSUJg1bggEgwMiDqYFN6R1f6qy460STne7mLoX86GJdj35X83euEXpHqfleqec9LcWDnb4fPnNN2NJHuFj1d0FYw0VFnws5+1NGrV2IvgLM9VPQEPpPfCwFCbsTueQZDQIA33p/dCui1wp7NSz8XkQ6IOIglxhbs/VPX79Rq7UfkvJuMyRJ42uduuYNhS1hANmTOiseETXysAmrAZfRE7dQAGBeXBmVeGoHAr/hxpxevxW9SsRV8kz2DM8aONfpckEUb2mdj4B1Qg1pJ2ru2diDAHYWHfNOyvtGNrmaxwqKtgYGxkOBMOKWAxMCDqoF6CnO8WwdGgG1tq9UsSnKsyH3FnXolAd/7sWFRV1GDTulJVXVKVHqhd7BDjp0ch89p4aNrpxvsTdB1jcovwY8V+n79vCqLRV7fChTL1vWYJUz0FsQMvb7QuhrDFDTRmSDRFs4TDEpbkta1fqE09iHoCBgZEHaDkwDo4ig80OSu+aO+niOg9AcGRaQhkmmbCJf+diPEXRmP7d2UoK65BZEwQRk6IQFxy4yWDpTv/zuQLsLZ4F9aU7EShq1xt72WJxn/EjMR5EYOAflfCWZGvLvhyQfcVEHiEJg6DOTSxNvnQ5zCOCVH9pvn9HUSBjp9+og5Q8sdX/lf6M2koOfiN30p8bc1Zkaem9NU4ylShn4g+E2C2xXRYGeqp/xnXovdqJg0zYkbgwujhKK6phEwijAoKqTf0YkJwM+sdeEipZKlpkPN/j8HtrKyrYVj7O+T/JyRxGGIHzjzJfxVRYGBgQNTOZIqcDBX4f5NbJbx1zP64UbDzbZQeWFevlLAbhbtXIPaMWYiRbvgumO8gvQex5rBT/j3WyN7oM+U5lBz4CmX//s5YBTH69KkITxsPk+ZdZ4Gop2FgQNTO5CJrMtu8lhtu/CYNWnBoh+xP4a8raoMCUb87Xddx/LeVapw+ul/brKrYVZlt0YgbNFs9iMgbpysSdYCItEz/0+R0NyJSz2n3/ZCVDkv2r/H7nqI9H3stekREPQsDA6IOED1ghlq8x+chZ9Jgje6rlgtub5V5O5q96NdUl8J+fF+77wsRdU0MDIg6QHB4ClIzH0aQrW5ZZ1ltsK4HISRuEHqNf1AlxnVELYW2fB8RBR7mGBB1EFvsAJw27RVU5G6Ho/gPmIIsCEsaAWv0iXn77U1WEWzR+8JT2n1fiKhrYmBA1IEk4z2812j16Ay2uDPUGgJq3r+vJYJMmurBsLRw+h8RBR4OJRD1sBkSSaNvq52S13DoQmZGmEOQMOL6zto9IuoCGBgQ9cAhjbTzHkdY8qgT6waYgtQc/t5/+TuCI3p19i4SUSfiUAJRD2SNSkfKuPmq+p9MYQyyRkIzcy0AImJgQNSjaZZQ9SAi8uBQAhERERkYGBAREZGBgQEREREZGBgQERGRgYEBERERGRgYEBERkYGBARERERkYGBAREZGBgQEREREZGBgQERGRgYEBERERGRgYEBERkYGBAREREXW/1RV1XVfP5eXlnb0rRERE3Yrn2um5lgZEYFBRUaGeJ02a1Nm7QkRE1C3JtTQiIsLve0x6S8KHLsDtdiM/Px9hYWEwmUydvTtERETdhlzqJShITEyEpmmBERgQERFR+2PyIRERERkYGBAREZGBgQEREREZGBgQERGRgYEBERERGRgYEBERkYGBARERERkYGBAREZGBgUEAeeyxx3DNNdd4bTt8+DCuu+46jBgxAhdddBE2btzYafvXHZSWluKhhx7C+PHjMW7cODzwwANqm0dRURFuv/12jBw5EpMnT8ann37aqfvbHTgcDixYsACjR49GZmYm3nrrrc7epW4lLy8Pd9xxB8aMGYMJEybgySefVG0qeHyfmhtvvFEd4x67d+/G7NmzMXz4cMyaNQu//PILeiIGBgFi27Zt+OCDD7y2SVHL2267DfHx8Vi1ahUuvfRSzJs3D0eOHOm0/ezqFi5ciD179mDZsmV48803sX//fjz88MPG6w8++CDKysrw4Ycf4pZbblGv7dq1q1P3uat75pln1An2nXfeUe37yiuv4Isvvujs3eoW5BiWoKCqqgrLly/HCy+8gA0bNuDFF1/k8X2KPv/8c3z77bfG95WVlSpQGD16ND7++GMV/N90001qe48jJZGpe3M4HPqMGTP0OXPm6FdffbWxPSsrSx8xYoReUVFhbJs7d67+0ksvddKedm3SToMGDdJ37NhhbNu2bZvaZrfb9UOHDukZGRn64cOHjdcXLFig33///Z20x92jTYcOHapv2rTJ2LZ06VKvzyk1LTs7W33mCgoKjG2rV6/WMzMzeXyfgqKiIn3ixIn6rFmzjON35cqV+uTJk3W3262+l+epU6fqq1at0nsa9hgEALm7HThwIM4991yv7Tt37sTgwYMRGhpqbBs1ahR27NjRCXvZ9cnCIq+99hoGDRrktb2mpkYtPiLtmZKSgrS0NK/23L59eyfsbfcgvS8ul0vdfdVvM2lLWRiN/EtISMAbb7yhegUaLqHL4/vkPf3006qHpX///sY2aU9pP1PdIn3yfNZZZ/XI9mRg0M1JV7cMIUgXd0MFBQVqJa364uLikJub24F72H3YbDZMnDgRwcHBxrZ3331XBV2xsbFNtqeMAZNv0mYxMTFebSoXORkjLy4u7tR96w4iIyNVXoGHBFPvv/++yn/h8X1yfvjhB2zZsgW33nqr13a25wnmel9TF2S325u88MjdxCOPPKKS4RreUQgZl6x/QhbyfXV1NXqq5tqz/t2XnIDXrl2r7tgE27P1mmozwXZrvWeffVYlyH300Ud4++23+XlsJQlIJc9FzptyI1Afj+8TGBh0cdK9de211/p8bf78+aqbe86cOT5ft1qtje7K5EPe8IDoSfy159KlSzFlyhT1tSR6Pf7446onRjLpPe3Z8CTR09uzOU21mWC7tT4okAROSUDMyMjg8X0SJPF1yJAhXr0wHjy+T2Bg0MWNHTsWv//+u8/XZGqiZHvLOJhwOp0qUJDxXMm4TUpKQnZ2ttfPHDt2rFF3WU/irz09ZDaCZNLfd999mDt3rrFd2lParz75XnoayDdpM5niKXkGZrPZ6LKVk610k1PLLF68WA0ZSnAwbdo0tY3Hd+vJeVHayJPz4gkEvvzyS1x88cU+j+/EHtieDAy6seeee051jXu899576o5YtsuHWebiSmKivMcT9W7dulUl2JBvn3zyiQoKpKdA5ofXJ3PFc3Jy1JhjcnKy0Z6ynXyTRE4JCCSBS6aBedps6NChKtmTWnaXu2LFCixZsgTTp083tvP4bj05R0qQ6iHnSnHPPffgp59+wuuvv66mgUrioTzLNPCbb74ZPQ2PzG5M7hjS09ONR1RUlDpByNdyMpaCKJJFLxe5ffv2qZOIzLm/4oorOnvXuyTpll20aBFmzpyJGTNmqDtbz0N6Ynr37q2GFe69916Vbb9y5Up89tlnuOqqqzp717uskJAQXHbZZXj00UfVZ+/rr79WBY6aGs6hxsnFr776Km644QZ1wa//meTx3Xqpqale58ywsDD1kK8l6JJiZk888YTqiZFnyTu48MIL0dOYZM5iZ+8EtY2XX34ZmzdvVlGxx6FDh1QlP+lJkA+/VKCTqn7ku5vx7rvv9vna+vXr1TTFwsJC1Z5ZWVlqCOGuu+5SXZDUNDm5SmCwbt06hIeH4/rrr2/UG0O+ycX++eef9/maDInx+D41nqqHTz31lHqWwGrhwoUqIJPZSFJNVqaE9jQMDIiIiMjAoQQiIiIyMDAgIiIiAwMDIiIiMjAwICIiIgMDAyIiIjIwMCAiIiIDAwMiIiIyMDAgIiIiAwMDIiIiMjAwICIiIgMDAyIiIoLH/wP2GMJ68vV3sAAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# MDS\n",
"\n",
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"(Optional) Feel free to try UMAP as well! It's a new dimensionality reduction method that is getting the most popular."
]
}
],
"metadata": {
"colab": {
"collapsed_sections": [],
"provenance": []
},
"kernelspec": {
"display_name": ".venv",
"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": "3.12.10"
},
"nteract": {
"version": "0.24.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}