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@genkuroki
Last active February 16, 2020 08:07
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測定スキルの異なる7人の科学者たち
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# 測定スキルの異なる7人の科学者たち\n\n黒木玄\n\n2017-09-29~30 (2019-09-18 Julia v1.0以上に対応)"
},
{
"metadata": {
"toc": "true"
},
"cell_type": "markdown",
"source": "<h1>目次<span class=\"tocSkip\"></span></h1>\n<div class=\"toc\"><ul class=\"toc-item\"><li><span><a href=\"#サンプル\" data-toc-modified-id=\"サンプル-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>サンプル</a></span></li><li><span><a href=\"#4つの確率モデル\" data-toc-modified-id=\"4つの確率モデル-2\"><span class=\"toc-item-num\">2&nbsp;&nbsp;</span>4つの確率モデル</a></span></li><li><span><a href=\"#4つの確率モデルを記述する函数の定義\" data-toc-modified-id=\"4つの確率モデルを記述する函数の定義-3\"><span class=\"toc-item-num\">3&nbsp;&nbsp;</span>4つの確率モデルを記述する函数の定義</a></span></li><li><span><a href=\"#最尤法の実行\" data-toc-modified-id=\"最尤法の実行-4\"><span class=\"toc-item-num\">4&nbsp;&nbsp;</span>最尤法の実行</a></span></li><li><span><a href=\"#比較\" data-toc-modified-id=\"比較-5\"><span class=\"toc-item-num\">5&nbsp;&nbsp;</span>比較</a></span></li><li><span><a href=\"#階層モデルとの関係\" data-toc-modified-id=\"階層モデルとの関係-6\"><span class=\"toc-item-num\">6&nbsp;&nbsp;</span>階層モデルとの関係</a></span><ul class=\"toc-item\"><li><span><a href=\"#t-分布が出て来る仕組み\" data-toc-modified-id=\"t-分布が出て来る仕組み-6.1\"><span class=\"toc-item-num\">6.1&nbsp;&nbsp;</span>t 分布が出て来る仕組み</a></span></li><li><span><a href=\"#階層モデルにおける正規分布の分散と標準偏差の分布をプロット\" data-toc-modified-id=\"階層モデルにおける正規分布の分散と標準偏差の分布をプロット-6.2\"><span class=\"toc-item-num\">6.2&nbsp;&nbsp;</span>階層モデルにおける正規分布の分散と標準偏差の分布をプロット</a></span></li></ul></li><li><span><a href=\"#交差検証\" data-toc-modified-id=\"交差検証-7\"><span class=\"toc-item-num\">7&nbsp;&nbsp;</span>交差検証</a></span><ul class=\"toc-item\"><li><span><a href=\"#必要な函数の定義\" data-toc-modified-id=\"必要な函数の定義-7.1\"><span class=\"toc-item-num\">7.1&nbsp;&nbsp;</span>必要な函数の定義</a></span></li><li><span><a href=\"#4つのモデルの交差検証結果の比較\" data-toc-modified-id=\"4つのモデルの交差検証結果の比較-7.2\"><span class=\"toc-item-num\">7.2&nbsp;&nbsp;</span>4つのモデルの交差検証結果の比較</a></span></li><li><span><a href=\"#一個抜き出し交差検証の様子をプロット\" data-toc-modified-id=\"一個抜き出し交差検証の様子をプロット-7.3\"><span class=\"toc-item-num\">7.3&nbsp;&nbsp;</span>一個抜き出し交差検証の様子をプロット</a></span></li></ul></li><li><span><a href=\"#別のサンプル\" data-toc-modified-id=\"別のサンプル-8\"><span class=\"toc-item-num\">8&nbsp;&nbsp;</span>別のサンプル</a></span><ul class=\"toc-item\"><li><span><a href=\"#正常値を3つ追加してみると\" data-toc-modified-id=\"正常値を3つ追加してみると-8.1\"><span class=\"toc-item-num\">8.1&nbsp;&nbsp;</span>正常値を3つ追加してみると</a></span></li><li><span><a href=\"#正規分布が生成したサンプル\" data-toc-modified-id=\"正規分布が生成したサンプル-8.2\"><span class=\"toc-item-num\">8.2&nbsp;&nbsp;</span>正規分布が生成したサンプル</a></span></li><li><span><a href=\"#TDist2で生成したサンプル\" data-toc-modified-id=\"TDist2で生成したサンプル-8.3\"><span class=\"toc-item-num\">8.3&nbsp;&nbsp;</span>TDist2で生成したサンプル</a></span></li></ul></li></ul></div>"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using PyPlot\nusing Distributions\nusing Optim\nlinspace(a, b, l) = range(a, b, length=l)\nusing Printf\n\nusing Base64\ndisplayfile(mime, file; tag=\"img\") = open(file) do f\n display(\"text/html\", \"\"\"<$tag src=\"data:$mime;base64,$(base64encode(f))\"/>\"\"\")\nend",
"execution_count": 1,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 1,
"data": {
"text/plain": "displayfile (generic function with 1 method)"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "MacKay, David J. C., Information Theory, Inference, and Learning Algorithms, Cambridge University Press, 2003, 640 pages. ([download](https://www.inference.org.uk/itprnn/book.html)) のp.309にある演習問題22.15(次のセルに引用)をこのノートでは扱う. "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "displayfile(\"image/png\", \"Seven scientists.png\")",
"execution_count": 2,
"outputs": [
{
"output_type": "display_data",
"data": {
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x/pTd18lp6V9e3n78GzbBrpWfReFJBOH8dyfN9YMb2lqPWjujlNBF49tndrTskGXSZu3zhzpsSHkdWbBfW9rFsduWyIPa6WGBhUZ5PT0S+T+iVzuNGz61iNbXZtzmMa9tiZInvxAoUXU0Xg4+TcXdm3WqKG5uYkunk1Ex9i8iqae4VIHU9A0atL1Sykz9BGkHBom0SySug1mbS2NddmiexmFizvQ/BeHvIaNmrFOUUFJZpqmHSvMK8lkFZcV77qGOmIPgiPXdV0luy7batZtcbYo2J68NFYNj0EdxaXXhKkp0wFJejtJKP4JkQ5YemUSPvOtAEE4ljNuib8WpN5c2r/T0KWnH33JKhWUC0pzvsWcWTayq7Uxi4onpTkS4X+mXtdIrkVV/0rzBoqVZd2Ilvp6LZ1WHQ1/+OJNwsOrJzZPG9ipj3dwskxAr7rY5CqSmrmTHxDV60pJQq0wqGYHLU04EinQPydGWLmcq5gJCr7t6Y8rjgxWq8VPKBoeIaQbu9oNyv11f5dnTyuLDi5Ldp0MDrt4aNN8D3uHWYEv4301rgOiuXGb+5sxsXGsscOOZ3SX8AAAefjvN4uUGqyv+sSoTbQHagE0J+HwpA5GwtWdOIhBB88TL6VeK1NFpUwn+HlkKB5qEN8P/+/iWGOhK1bo80AHrGuADqhFqFUH7L/tit9YV99HGZUdWfD72DBjBDEctD9ZdgEAmh/nO6ghp/GYwK/SIVhp4jHnRuyGg3yfSWUILfy0x94QwZxS5/797SYFfhAuWBbBTQme2k4Hm7477EogCK94yWc8mnNYTd3P/5BwMfyfZ8ZYsjitZ92kcnoKPyfebzB+Nz7TfMypnzIuR5CbsKWfEcKxdvS9/a1AXGKqBS0v/XFqLL7EXko/EcFNj/TGJsC0dcCSp8s7WPZfc/e35B+XvN7aywBhWbmcTpFtJEFauGcrDtPc6ZiEFvRkSXsOotNlVRzeAoLvoT4eU3Y9FReBn/tyS189BJujbb1x0MN934ficl7CKuHNf5K7eyi0iDobT0xZ1GwrLEpWvq2JllFTrV8MUpmpLty0iGktsH4ur9ugJSnnxjVh4RkIenV48gRyBSWVaZp2rDiv5JJV+Pf8f8/x3omlauVxQaqFMAS5L7cNNmFymo32v59SKC4uNdtTII1R9xjVQUntqdXUFOmAlL0drT8h3hdc+npDNw42+7W0m7Yj/GVa5cI8QfIhe7M286MlRgwhhXErO+lQ96Q0RyL1u0ayLariV5oz0LJPR0dbc5hmg7bGZkv8KTfl+ooBFgbdNr6qmi9SKLaKihT/ilzlUHfY6nalJCHX0jU0aKnTkUiCpgY4WLleqGrryltvWc3nP6x2WlQLSrdB0dy47Q6NOXrtZ4Z+l0yKl3ZzwaCuNo0w69GIDojyCv98iApcMbK1Acuw5WDvQzHpMuMuAGiGipsc8CVbCx+DDliX4aXHHJrRp/OAkf2shW9hcLAIYOi6yN90/QkJmS7/9qxmmK81dBQeCiEJmh3sZS16H8m0mB5J+ADQAesaoANqEerUAVnWbftMD5M+R1S0XBzh9N8rHWWh6eFTmrGZDdwuEpw7iqafcTZlspt7hkt5BG7s0jZYXplm9vs+yw00JfFruuggCLuF15UM6Sdy327rbYQgxsOO/pSJ2HhvN3bhIGybFc8ouY6yuGXtsEmoTq/tidITAQzei9WdbOZHV1UlnYKKT0Ul0E/Ky4svu+kjdHXAsqg5jbH5HsJpvzpB8skF1zwtmVj7ed+XXvpdeHe2NYvBtJpxW/JzwbddfbA21eu1g2hHHTdmcUsWg9PefrjbbtFEqSBm0wBry7aO24TCIQaFFlF74+GQmsbQMGrK9YujqTmVNGj2yRH4BJFAHRKdvYHo2g0fPzecdEHJZJqmHSvOK8nJsOKyFt2ZhRk0ottvj/zsjf9uUw+beRJdl6rtKV4iR8ljVBMlpVenqREXloa3o+MgiXVAQepFj2YtR/o9+CNtbcJzxgjPnRH8OjikMQ1PSnckUqtrxCHXoqp/pREDLYxd3VUPQQyHHPwuWRb07yknQzyo53Te+FacGsVik6hIDBKVQ8dhq9mVkoSk66uZQUudjkQCwa9D9o3dL0kuPBH8PjJUuF+MuC0oQaOgdBqU/+3UaCsmotd72wd5OYSX6I9L2GrRAREda1uHYVU42A8eOKB3t3ZWDaz7em059zA5n5alAQB10KzAEaLdpMyG0yqW4QN1DjQ7xm9YsxYj/eNyBOVo3pszc3tZsIXtinvOFhMuyQ7Q5CAj06HZd+ba6CA6HZY+kfKNRXHrxy31ccLCTWwYaL7gEaHIDDpgXQN0QC1CnTogNuFfJRVg4RRdcsXiHlZz6XdExY8Xt2VjI8aUq7JrNEQURkw0YzLYbX2eSGw1EU3+GDoOR2VfGOCg2ZfchHsh2vnESPwR+jfIzRz72HDUGflzB7Apjg0bjwCjKfkO/udtdjoIg/2/5bIaFO/1hj7OgX+qEqJVUDT9qANWn4T6SWnEBCPaOiD34XxrvLVZ1vMeSDYHmnFMmGCn9VIXfYkDZ07PbdKzw7LbM/B1Xpw+/gSLG8RTdKbBiONEzUSpRTTReBikpjHUjZpy/QrR0JxKFsUiFZ2CkpyV0rRjhXklWVeKy1rOjRcuHCJoCf5nv34Ddlb9BXXbU5IsBY9RbRRnQ52mRpgKDW9Hy0ES6IAlX8559R68PDJNru7LuY8XtWCxGo8PTpfzVtwH83tUbgEnD62RqDLXanGNIsi1KIlfqd9ABd/2DzLAe/i4kFzxR2Lyr3th2WEgJk6BqcLHUi62yooUQqLYdBy2kg5Gx5WShFxL19CgpU5HUoXgx/5BjWWtBU07Pky4FITVdPZdqd5EGRoFpV6faMYlDyw4ws2ecCMdlolmWCY0uS9YkP/lyjr7xmyWWUePbffSZPMNABqAF7cMG8hxFAyLCinK/Cs6cRyoZdCc+z6dDS1GHPok4df5GU/2jG9vjI3YGEwzh8N0VrSTlOl4v68ttjPXbe6869Ef/HdoUfKtze7ufs9TAvF3bwqiaxzQAesaoANqEerUAZnmXjfl4kLxfF96OW9BxMQGuJA0YJ+CtwuC73v6Yb2aaT75StX0UPnsq7w877I7fkAUNqe8VvlH+PmjwmMHevgSHDtQXhg0Vh/BnIuM0KUKNO3ECLxUjafdlIrmiqPn23ldlbgsi15BxfWpfh2wHM2KO7FhxaaTz2TmWyXB7nhMaz03WjKmLQ52x9/Fy73y5j6YhwfU7HZE1/iJWwmr8E+EdUqhRTTTeCSnMZSNGoda/QrRzJxKDpWTV0oFpTQr1SYdEIsXdvTSwZqixfwHUqs/uM9W2I4KTKtsNhq2pyxZ0h6j+ijOhjpNjSgVGt6OnoOsEILEQR+a/WSLQ/cxB99I/EICNOP0KGOEgei1cFiwNzz+Z4FEvfCyfqWpuiRJHjojEYYaXaMYci1K5lfqNlD++y3d8LhcZ2iAvIZY9O1hyKXbH8RCCfViq6pIEaSKTd1hK+lgtMYMcpBr6RoatNTpSCoRfNszoMnEcFlTQzNOOmH5xgplNT2SeleVhHpBKden4NvuftjwguiNCBTddSIL9/FCfFe5pu8JKS9+7dsXyx7CaTr6qOSsHgA0Q3HkDMwpYOA6O3kfh6YeGu4UQEk4BDRD3t05LdhmIwN/y4diJcnhi+3M8OZltVz4iPoIRkGm42cmXPSdM2bIwEFD7B2cp2658rUIiwJ341EgNgbMvEPszEAHrGuADqhFqFMHZLdb/kzRfN98qsR8nxs9F9eRED3Xy4re8GLBPxaaYUPK/IeVsZmq2ZfYFWCeatET8UflZbemmuPei9Nr1c0n8kTvGok5N1bLxcSXECkmN2KSJRYJm44+W7X3C80JmWjn80TCT9EsKF39hBpoWXZSfFTEheMHdvqudbPhYE9tMuee5FN5r9d1xCqc3Wn9G6l8lF6fYoYfj+V4UmbjG454iq43NkjBfYPkW0RTjUdqGkPVqOVQXb9CNDKnkkfl5JVSQSnNSrVKB6wUPCwmRUhMOYvuzOk2OVxiKQoN21OaLEmPoQYUZ0OdpkaQCg1vR9NBVjgZLOgrLU0KmtbegGnQ2++dws5Y8sqvL34AnhCEbdS0s/24+VtOPpI9JJIsdEYiDDW6RjHkWpTcr9RqoGjakaE6WLMxm3jfV1XJ1IutqiJFUDV3kg5bSQer9pihGHKFqaFBS52OpAJBkn8f/Xaua/1k8V3u1FwYojIbeV0nVvppQK6gVOsT/XtiuNBbNZP0VpLUlA6I5S9uGb70nYHodF79vHorKQFANSXRc0UdldOl8sAH1XAfLew4KbyaW/6B6oNmnR1tzLKafkvBmIrmx63pgTk3dsd1r+ScoSqqKdOJF5si+k6nZN7hVAA6YF0DdEAtQq06INn5fu7ZUfhREojxhAhFcWRp2Dj8DCFEd/T5ymypmn2V/zszEgvQMW/hdln8CZp90hHLGfacbl5+OxXgv/tsHMHZVMopfbywlfCksd0Vy6QFvwOcBvh+kBwAaRaUrn5CkuLvUYeXutk2MbHqPmbupkMXrkfHxfkPwzIqFwnzv+4daIQgekMO/ZJ4RcR7hcuDrKZTrhDd0VExRZ9yjbDIFFpEY41HahpDvxHI1y+OJuZUBKievFIpKLVZqVbpgFivDJ9ogT3FeOSpCj+C5lwe331+tEQwSsf2VCRLymOoAcXZUKepEaRCw9vRdJAVTsZ01JpNjt2HTRnZioMg+rYbpG7dlQLNfXV8dt8meGKVIEyTThP3P8uh6vppjUQ46nON4r8g2aIk212dBsp7saY9LkKwbVa/kOv70tAotoqKFEPa3Kk5bCUdTIMDN7nC1NCgpU5HIoafuL2Xld2kxUsIWOzRFcs5g8G0mHyFdpBaAaWCUq1P3qu1+JtTfK5MsKEcp+Z0wMo+iHUUtyAaXg4AKMFP9O+rj3dUdvtVCcosUwL+R9++ww4RrEADahjuowXNWToOxwjWdlRQeHeONYtpNesuycatonoynfCAIYSBGA47lqrAUkAHrGuADqhF1KoOaDguTFEcWRrqgW8VoqQDVk4oDD1CxR+VFwg3FWETMvdgNb9yEm58QrAhb/UL4ZtfbEAb6BQgPaDRLKjmphNoTqy/c0s9hGM9bNOtlKpZc2mIB1ZNBJEw9+sBe2OE3WLS5Z+i99to7nPfQQ1YJj2W3yNSAavmaIr8MYUW0VTjkZrG0GoEyvWrkTkVEeqdvGp2VqowryTrSnFZRZQ8mIfNxRDdvruThN1V8Puoo9166ZecNGxPVbJkPIYaUJwNdZoaQSo0vB1NB1kxFCBGneeEfi9D858s66SLIDodlz5WOohxsxMfhx3btmKW+5COFvhyNWwybe50QuoaCzLQGYkw1OgaxZBrUbLtrkYD5b1e30koiLRdJr+SSgbqxVZVkSLIFJuGw1bSwTQ3cJNswxoatNTpSETwP/naNZ91R4GOnxviYYavGGWaTwirxhkK1AtKtT7FOyi0QwcsL7zkincsZcsTAUCNFMet6YKvh2WajThO6kKJ0vjVvZyOSa4yAGoJ4WlPynVANCtwuI7c9jAykJLpin8/v3Xreap8EJAXMbEhk8FsOD6U8MxVHNAB6xqgA2oRtaIDis+XY+g4nVLwmhKbSAnPBZW6HkjV7Iv/YUt3PD7C8yH+CCuf8GZHhs6Qw6IzydWH4OfhodgMlWU9+04RVs6YJb0mybopmgVVWp/C5TH0phPc97sGmuJnWDsc+Cz914oiYTQzbNro1ReOLXLs2Kp9f2e3sQ5dWra081gf9lnhBh1VczQKLaKpxiOaxpTdXeS49ZX4Pzg0plTU6xeDVGaqj3onr4ozLfkIunasMK8k60pxWcXw3mzojAseoh0O/MTtA4ZUroESQ8P2VCZLwmOoAcXZINdq5CBIhYa3o+kgxU6G1WZprPizkldbexkiCKet9x25Bwl+3z51S25WUvYnNsCzA9Yc7LbL4iiWn85IhKFG1yiGXIuSbnf1GSiaedIR1yDwbZNViRJDvdiqKlKE6mLTcthKOhgdV0oScq6vhgYtcpmhAP/95h6t5iq+EDgvfIJw6zjTzCP4n/gzqtApKNX61KZ9weXlBRdc8Mxg2ZG5GQUANETZ50PDG2JdldXEI0jR2q1KuIl7HWyXSt0ABtQW6J/jww1YSg9hxeKabjoy5wOWpjw4e+TErc8FSoduEjJdwY2p2KCCufgx56SlSDTz/BhTBDHos/29YicGOmBdA3RALaJWdMDyohtelliXZ7dfo2DTEC9BeK0n03LqjSqvpGL2VTH1wGaMD6vSKr3vjc80mY1nRynyDyW/k36TXfMjCZp92aMBFliauV7MzL021W5BtNyARq+g5XlnR2EzDaL6FFc1nekEmnXRFX+rzu4kf75DUdAYiZ0xxVEbFgbhy0CwKh1tJ75FDy3LTU/9k1OsQOOoROUcjUKLaKjxCKcxN6b3WS05aads1FTrV/QNucxUH/VOXhVnWuoRNO1YYV5J1pXislYg+L5vADZFYjWfF13CjV9l53JazqVQtz3VyZLwGNVHcTZIthopiFKh4e1oOkiRk2H/T+KiIu7nvYNNmQir2ZQImTfaZfe8m/fZ8ZWgUfhJewboI/iAIv6AJLRGIvW6RhHkWpR8u6vPQAXf9/bHV1xyum9RtK+4NONnurAolIutsiKFqCo2jQFRiOIORseVkoSc69P0oCX6gmRmyMN/u7FbW6XHzxdcnWKBZZOBmLrS2+JKb3SmXJ+C5N19xfeEEJ9WUoM6YNnjhS2xpLBKMxp1mvjWEgBQN2jWg3X9zJkIYtB5QWSGYilQkBG5wK7v2li1HfkJVA80+4pnU5bxoD2JCuS2/AcL2pnZH0qWGPbybk7Hh24sYhh5smJGQwT/o28PXKYzmXilasiQouIqEITTe+dXSaspeOxjw2Ea9fJ9qeAvhahOANAuQAfUImpHBywve7GuMwdBdPr4i3bmycD/7NcT+5rTZd1Lib8Sz744Aw8QrSMX/Dxkb4BFYPp9/T9Lxue8j9vs8NNN2/jEEDoIwbd99gP8pP6ENMX3vJuxsCQHrNng3G8j0WppWgUVL5YiOp26+M6sJlg0S2c6gU2HhX/aSP54B/HLlIpIuOCC+8AduC/mv9/c3dL9EvEGYAWonqNRaBHNNJ7o1FlEd4zEMfMloRP7bn4n/g8OZaOmWr+ir8hlBpurJEWdCjhz94vy126KUe/kVXGmpZ5O044V5pVkXSkuayXo37OjTbGSWUw8HzKnB+GFqJRtj0SyJDxGdRtaSTZIthopCFOh4e3oOUiRk5HSAbHfJh9xwKb6TCu3C1J7WcvuzWmi138v0e5f4cJQ3RGBWeL/k4TeSKRe1yiEXItSaXfVBkoSNDPYA793RMeO2D8Lvu0Z0k/8FeViq6xIHFXFpjEgClHcwei4UpKQc32aHrRE35DMDGl4L9Z0+p9PjNIVa4U3pjbCMopN9FzOKzgqXin0RmfqDYpmXHTD97CZjw+VuHWqirI7M/FyaF4HRDMu4f0Pg9V8ZmQuyIBAzVH86bRXB2MmwmlqvzKUYKlYScpdv9Gdei28kUo0NAC1BJp5e2FnQz0br/OJsu//BFmxO0Y0azMx6Idkiwm+7uiFuyLMybTyiRF/WAUq4PN5ZcW5aR9vrx9ggjsjdrup5178yCos5fL4AunYiftshY2etcPyoA8SynDpl9MeLTh6NrOv/SGItKglAGgVoANqEdzHi/DXk1hgMvI03Q0X5Wh6wFA8WiLaYFUiPN5JLvxF8x6v7KaPsFvPkd/HhWbfmN6cheh3XfE4T/I78ewLMRrg/1E2/kGzrnlZsxhM0/7bXsm6sKKELb2NEaap/b7PcqEmmnl9hq3buTSaYZLoygwEYRnaH0gh9Dp0ClrOf7epCweb0M6WiVnRjMtTuzQ1xWZXRuPDCWdMSuDFr8RX1iCm40JlQlDepx0jm1lgtddoJh5Yon8CHIcdEm7Ryg32MONYj/S9lpD47XtKyo8fv9IysnILisv4CitMtMsLMZ10VXEGKbSIJhoPzTjpiBklp/vWjxWDGv/tpv7jL0uqQZSNmmr9ir8kkxn035UpVvgox7RwPvWD1uj277QTPnntKT8pp9F7ydUgbTtWmFeSySouqwQFN6Y2xjKgZ27ZefFjYlOlaHviZHv4flKSrHKPoYaGVtbS5KqPFMSFpeHtaDlIkZOR2Bcsgvd5Zx98h1+Dofs+VDUprgMyOe2Xx8qvbSu5M6uJngKhSgk0RyI1u0YMci1Kqd1VD2lk4X8/5YIZM6vphBD5ZZP59+fbOp+olFGpFZtMRaouNp0BEUdJB6PhSklCsqU1PGiJv1OnIykX/LngaqHbf68KYyu6OVUoayFGI08pOcJKEfRGZzoNyks65mTBRPT77vgkZ8q85GNO+K5Jhs6IQDpqphCxblmRYUIK3+wfIdJN9Tsvuks7KQCgS1nqowMz+zbVY7JM2tpPWbYt4EJYeNDR7au8xw3r1qKtw/JLH/PBLLUONPvZwSldGxi3HDJ9za4ToXce3r92/si2xW7dm/9v1OaoNFkvKPhzfVEvK2PzTpPPfJH9jhvj09bAwNjUrIF5QwsLSzEWFhYNzc3MTIz0jUeflZIc0JxH6/u16uq+6lDwnSdxT+9HHF3j1sHUyMZjX1wW4dhANQFAmwAdUAsQ8Hnc0vy/ibeX99RDsHCBwWo27sSLX/+KcRmdgnvGnlOamxw0uRkLCzkMB+94lVnM5Ys6LSrglRX8urOwAx5+cbouuZuSW8KV0I94P8K9u5mwGzn4xUh0c0FWjO9QS7ZxlzlhKTKOpWIVRochw4Z6R/yoCoEE2U99h5gzmeb9VkcRLkQXpN3y6WnG1LfxOif5oqP4a8jCgb1nXSF81UAOwTd8gyHTzC1IcaxFuaBYqPd1/2AThG2zJEbi3UjJ5xOe43YELmqLVQK7tdfF9xkFpYr1OHn4iQfszXDtpZ/v66r3+Lz0e+s8FoTe29iNg7DbL4stQrNCpwxZJ96mV/x8fXcs2pUFYRs17ThowqrjD39KzMQEfG7x35fbBuH3e7I7zL3yGcugAnOi0CIaaDw0K2JKUxbC6bw6XvhENDdqbu+JIRXrHmkaNZ36xVCRGRx+4raeotduCKc38cIpxeClyUsJn9EayzKzkVvg52ysNKKH0++9JDKNQ9WOleRViKpkVf29JGVPl7Rh42XbpHg5HEnbk0rW3DngY04JZvei72RR6jGq1dCqS0+y1ZSjorA0vB2lP5FwMojhoG0v/1aabDm/ICVoUlP8tRbCaTF6x50vWSV48YU6IILo2syM+CmVdsFLvwEN286JpFZ+DOojkWZcI9kWpdTuZIY0kqD/4rY5WLGZZnYLgr9UlQX/eHgP9zPfJPsd6a5GuiJVFpuyw1bSwfCvaAZC5CDj+jQ+aIm/VosjEZTlZXyNDfZ1/58+1pXZ1iN9b75Py+fKP0KAVXrah1vrBpjiwhZWgnaeZ16m5ilsdmKoNnY1GhTNfrxpYEOWfmfva78kHE7ptzDvgYMd++EbnFmNxx55mZZfypPqzcpBsSxxi//9jNs1QqglInoDd7zPLeNLgH2d+iH67Hq39sZMrFJ1mjlujU6nkAQAqBdBwfeYy/s3Lp07bcJYZ5dxXt5Lt564/SFLTiEHtAi0IPnhpSPb1y6Y6j7axcNz3obDES8zaqTJeH9fBO9aPnO8yyhnd6+5a/ZffZctFy4C9QLQAWsbNO2Ig5G+kYmsjt7Q3MzU2NCw3RLlWzSqKLs51UJH18DI1Ax7kKWF8M/1dPQdAv6gvPhV7XV1hIngXzVsYGZiqK+j13XjG8ngvzAxYpN7Vyurjo7Tl23YvH7JtBHtLS27uG4IIzp2VDz70nEI+Pb+rPewvg7jFmzdu3vdzFHdGps26eXpf/eHstUBRUnXtnh0tTBu2stj7qrNvht8Jjv07Dth58N0hSIAKdC/58c0sJ59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69OasxiIYbdl0Zo5LwhQD6ADag/FicFLhjSzsp26I+Tp519/fiXGhvlP69m42ZAlwYkSa4O5j5Z2sDDHMBbGoGx9M/w/GJa26+MpxoiC7/sH6SOIgXuw3KwDzb09t62uTqtFyrt6JYKUQ8MaGnCYuMORjfCwb1NvLu3faejS04++ZJUKygWlOd9iziwb2dXamNXAS3JpujIoPYRkbZbdndvSWJeNCLMtfLGP5r845DVs1Ix1e8+GXzm/w6u7Kdus25yQFLxqi96fmmlvP3H5jhMhVy4fXDTQimPQ2vXAq0LRs6Th/rixZlhzw0Z95p149CU19Wt8xHYPG2NzW+9LSaKsohmnXCwMOKKkcRCEY9R9w4vS7wccGuiJsyT+2HaT8D5/NPXIUOFNCCIQptH48KpxXCJO5mfH7ho3cPi0tRKF6DIz6BuhfajMaTmaHjhaonF7+iVy/0Qudxo2feuRra7NOUzjXlsTJE1U5QPJgz1r3YiW+notnVYdDX/44k3Cw6snNk8b2KmPd3CytGUq0wFJWgMGFSOrdjnzby7s2qxRQ3NzE128bhEdY3FfxmnqGS67JYB8MaiiSgekEhuIP1EnKnVANDduc38zJuYPGzvseJYnEXRgPbyVqX6F7bJtVlY5Sd6rTXZmlV8xJduXassQoe4OTrN/l345P2tgP4/1p+6+Sk5L+/by9uHZtg10rfouCkmWngOoo8wScH/d3+XZ08qig8uSXSeDwy4e2jTfw95hVuDLeF8ls2LqJk6yF1Z/CNLUWEG2gQQ/jzhaGEsYDpYLTvvVCaJG5yWsshFuJRKDsC1nRGLFUjIwq79AyqKA0isThTI926SF7ZBRbuMneYqZMqZHQ9y3MK1m3hbOSRQ/hVyOFY90P2+sGd7S1HrQ3B2ngi4e2zq1p2WDLpM2b5050mNDyOvMgvve1iyO3bZE8c8VQq2n0Oy36htGCUZG5eEaDpEOWHplEt6EFWCOy3LGrcqvKeSXVo7o1iOdUZPWSEvP4wGAxqgUlHRGHP2VKyInMzXpZeSR2bamTBUrmYFaAv170lEf94Q6wwOz5BU0/rtNXfFwmMFqQXxMjyQVm4gZuqPPptxd7jI1ICFL5FoLP56b2l7f0Gby6c+SWmBxsLswbd0xFwlntmLvLRx/Fb4YERQmXVvV35xl9D/33bHqOqMH0BCgA2oHaH6c76CGnMZjAr9K++XSxGPOjdgNB/k+k51+i/YFc7pseicbL5EGXzCsiz2jh+8nuWfkXXbHQj7yJ5GK4KZFTGuBjTvSYZwg+ZC9WZv50bJepTBuZScdsjoghYdQrU20JOXcuCYs3LEFvTo8eYLvo4zKzAt+HxtmjCCGA/clJp2ePGrJtZSqhHJvTGvKQjg2K5/LloCXfMajOYfV1P38D4ma5f88M8aSxWk962alY0SLk896WGM1hhgM9v8oWpyAgxZ+3OuA6xqGQ3d/rvoYy09B4vkprdmIno3niReZUmNARZzcf9sVv7GuRIUYtD9Zdh0d6ZxiH+a+3NIXX4Pac+uNgx7u+z4UV04+2f9b8VxsJxQeqJKyT0dHW3OYZoO2xmZLZJybcn3FAAuDbhtfSZZfkQ5IxRooGJlayxk12wpra6VRGQ0XQQFVOiCV2ED8iTpRqAOivMI/H6ICV4xsbcAybDnY+1BMOqG/Kv1xaqwFU0YHFMFNj/TGZrzSOmAFZFpGKWrs4LT6d8nT5R0s+6+5+1uyaCWvt/YyQFhWLqeJzoupdpmxrObGbXdozNFrPzP0u2TCvLSbCwZ1tWmE1QfBrJiGiZPthWoZgnDUPlZQbSC0+MfN1f0a4MIZu8PSpxJ1yP91dLgRgui1dFx15lHSPykzJx6YcdQ/+ClILOeUky6n9cTTHwukPCOaHj6lORtBWNYTQ/5IFlZhlsnkmKAnCNLC/z979wHctNXAAdzyyIaEEGaYhYY9w94Bwgwj7L0CLXtTRmmgjDLKKhQoe4W9Nwdh73HseczwkQGXdRmX+GxdPsmWLcmWbclxQhL+v/Ndiy0/vff0ZFv/PEl9y6jk3m1Ws3FRfPjYCirCqerkK/TA0L4OGxPcZ+El0Z+j4vaUrP5etsnSN6OVUUFVQPC84NQ7M6qr6IzZf8C8Pbc+sZNFpdXXrhrZ04/2fGva9U1r3yceQJYy5oCE0tldz81FpWD+lJSp73jIQtp3K1u4URtJVeMPgevwfNvaKZ9uC1q/To5e+tnh9O9PGeHcclBI9wUPeceMqXdDqR8aSuq795Pxk9Nw81/haxNSkrYG6RfosNn0g1AbEfZLk1qVy/l6ORGEqkiTSXtfOOyGfZBlkAPmBPRP4RJKeYEuW6PMf92Rnze095QrS/bdwz8hzwE5YOKeHl6ETFHy1/Nmf1NIOzWsmFwm9+5zQNpuTMasa03/VuP+jNM8mVNbJTjBWft+WbOi4g7CxBdiT2/qJ1oTzv6tug/fw3+b9t3SxirqmKt8nWbBK/knDmYk7e6uC0uNIZhe+r25dakDsnwt/zG9Cb/63syqKkLpN/Eq22YN/ZyMUNUySWNTzgwvqSCc6v9l+ts2/eyIMlWn3jDrNeZ3ssK3XL2Bu4UaQagaLuYfV0qraUb6xdGlFTJVheatuvyl374JF2c18i1ULnCu7kBKcoFWJV6eUs2F+nXfbBnvXvdk5Po2ultQqarMvMfpMeFjC0mjQfwgc2Q7xRxP2vURIYGtHFDKbwPmGUcy5ICEk2+tgJasgOZNGzeqW718kQK+9fvN3nTuZbzJ1jBiLqkikANmZCTv6EJ9lGZNDkhx1A5ux/5N1X9YUTnVb+y8Mb2EA30LyamiQk6b/0U3023WvFrfoYiccKk7l/+jU0f9dAH9xwTzo2I7hrjovdAhX0EMx35X2LOBqG/ZE79UoH5oe9QNvcXujtp3K1r41Bx7IlJoHxD6YmY4tkE0oZVpX/3VoEi3XSZne2per23nQw021c8jTpqeCGq5yjZrLLAnJJ4YSh0OyYsM0s85ZGhfLaxHLe5SZ56Uq5MYSMoBs/B72QaLqZu1USGYA2o/bg0uUbrtnLMR/G0utb521Uh6P9r1U9Ceb1r7PvEAspjwecHapIi7e6e3KKxADphjxR8bUoI+pzZwremPejJmZz9fOiSUyeQ+A+k5/1alHemvu2o2QTiVGHLYNLgjYzYH5aN+/BbuuZv5Uw3zCUwNmS5C1yakJG3rpPut79Rm/VfmKTOapIh7+0M7/eSiKlR74MrrX02+FiBHQQ6YAyRfGF1OKZMX7LNfeKpN4t6eXnKZstyYcO4heOZzwPQLI0tRnzRe3Xeb/TxR355WifoR6Np6rcBdy60S+IWXfmFUKYWiaPedn80+DNLP/lJzyDExv2hFF2JXbzI/MWVKv8m8ozFa0vbO9K84eaH+h0wzUaoHddc/CN7FLStyWxfqg5dwb7fBfEq3+uYUPyV9eHeGbbRu4ja1KfmxVob27ZJGKoIw+0WseTynYasV780/WG03QlFy5AXO71TJNWWODeRurdcIJk6SC7RC+2ppE+rLTl6g265Y5ilG/MF+1NGXjMjfZu1HzloEjy2kjQaxg8yR7aTZPJ607yNCAhs5oKTfBswzjmTrvGBt/LN9vzUvqlR4VQqee+qTWTBBteDzPwFUCwRzwNS9PTyyMAd01A4uef+mpJ/7RffHYIXviLPcV8gvq3XdUXn6HbPuyGSbyS/bg33kuh3X7BJfNKpK1A9cs6Ni6UNcwl7okK8ghiO/K+zbQLSUe382zC8nVD+HHNM3Pv3p8sCavXdavCmflejFoQ3SEVgZ9ZOiRmuTm5ql3p/fKD+1BV1rTr8m8PdGi1W2Y09g8lZV7blPeYWlHRtEzxNW1VtgNiXPNkk5oPjaOvrrxfKmt/KSeQ6Y8mxTv7pNJxz9ZLqo9PraVSPJ/WjPt6Y977HzEw8gq1m7PuC7ZU1xfcCci4w5PtzPiXCqOC6c97GRdGV6t3FjdFfhoT7wBObwmEg7Plh3zxGZ3KvnXvMPNd2fSKlf/s4NF73SfwPGGv/mv0P4tN/4zR30C1i6SJCR+uWqVtTHJeFacej+j9K/XyGbIAf8/hL29qTP8lE1WmL6t1SG9vWiBtSeKvfuvY+zG2c6B9Q8Cq2povb/gH8iTH+80H9edaIKrz2H/6NZBIGfceSX/9rlI2SES6mAXxfvuf4ugVOmOvr9J1EzDsUWYl9vMj8x5d79Dpt9L+pTAplT63Vm5+Iwt3d3bruBjaroSzvoZnQL31k1cVsnerP5cw9HtC8W1KO6m//7Vvt6cbNSxQspZKrqsx9yCtLcn1Wv3RqzTUax3Qj+n4+k11R/bCB8IjnFjqZbpHkwuzr99eTUYpV5W5Nendu1/dhD/o9uoQMIiaNB5CBzZDt1bB1P2vkRIYGt+YBSfhswzziSzesD0pLvhNanBjmhKt7hn8emHcnsHN8lB3TQDi51/9Yho6/8O2PirHVXTY7QU3Z2pQ+cfYefMfsdmbk20/O+qLYSLpb+hqT/85PpUbH0IS5lL3TIVxDDgd8VNDs2kJ7m7cZO1HaSFwn674067sLE+o1nXrOy89vMVxzVIJrAytLPjKjOz1sTLk+uRjVR7tV08SPBNlqssh17AnNhA5XZzLuzI+gcVnBao02ScsAs/F62wfKmt/ISPwckY8JnB9QIWnZXYITZUV+7aiS1H+351rTnPXZ+4gFkOSs5YEb6+V/9+PcLpsby54tbj70U2IvhO1B/ODDa39u5ZPuF5yN0n8JJL4/83rXrnGtv1ur/LC/4CWoiPXwU/elDLSx4OE9G/duKLotwCVj9WfdM8k769Bgrn1ffNrSlPqJlhGvwLuGDAY60i2N0A1Du1XIVkzNCjoMc8LtLP6M7fZ9w6bzD/O/qetQvKer3MnVMwL0/T2ZzQPLzavpu4oIXIIjb3oU6alKUtn0RUjOCP+NSbs+p70n9vNIhlB7FqzTv9svsded510SyRVQhdvYm8xNT8HKI+p+YhFefA2a/PplDIafA9eztkAzTsFV1Jh8ON3dmYVsvOX0Ld27Xat8saexMyJTlxl02PKt5Nr9p4NIDUyopZcpKv7FzQtQ3p9XptEHw96btRsi9+3OiDuk1ZY4NXDptEzxwtqfpFpCfVragflvL5MVCToscJAIjT/poEDXIHNhOPRvHk/Z+REhg+/qA4n8bMM84kqgckBrlV8b7UfujjHCqMuUav6sMO8d3yQEds4NL3b/NkGkxL66f3Ltlzd/zQ6d18VNRbyg27JRj20xG/ttKNxIt3kxO8KjYjiEubS90yFeQjgO/K0yJ3EAGZPTRkPIqgvCoEdi8Zqf1JuftmrCZrziyQQIrIxM+vvrCblsy+sjQn+gGFg7aaCFysVxlO/YE9Z3fqD2Nnl95l/eW1IN9vKgGugWu+2Jxs1gkKQfMwu9lGyxveisvsTlgauqLbQMquMnd6s65LzQW7aivXTWS2I/2fGva8x47P/EAsp61HFDzdFX/6SaziuO2dq1lPtsWvh9N1I2tocOCmjVu0qx5QPv+s/c9T8rQvv6L/mMEfWet4zZ/o2mezqV/2lPf1AEm0/H1DH/BV5Qde1n3BPMhSH2zm//xj0ZGr9Ulh1b+RsmRenSgfjqiotSv5+z4QQnZADngd0fPtKF+RRD5euy1tJek7u5GXxCNcOZelzOzOSB9cUDq55ngxQFPhxRXUD+qpF4ckGbhZxwZe3vN0PrF6JYaEfL8lXsuvSr+juIiCrGzNw0/MSWmBMZDIfYDk4xZF0h/SBLO1fvNmW/Bgr82XuFdfUb7YWULamtSH5Xn9dXWPApt1H7t5/QHv1dXce/CkX5lgn/wNuEuk9gIO2pqODYQOCqk2Nd0YeqbUyvQiY7Sb8pNkb9KBEaePaPB9iBzZDv1bBxP2vsRIYGtHFDKbwPmKUcSmQMahw3VkC78vcTOPdxBOaBDdnA7m0BJfn1yxbgutYrlL1IjaPis5VsOnrlyZUFLakw5PgfUX1GCqiU32+QRPCqWPsQl74UO+QqiOO67giVtA3Ek3ZjlT/WKwnfg4VjrjbCdrziwQVZyHh3th23BxRQyQll6wAHLVx6xWIo9NdY8X9zYgyBcmi3nnnGvvk3Hg4riffYJfqzZIC0HFFlbx3+9WNkall9ivus9202dFVijZZ+2ZVQE4Vprxg2zfMye+tpVI4n9aM+3pj3vsfMTDyDrWcsBBaRfGlMxaOM35l+QQ6mvjC9HfeQQrm3Wm1+IwUzKwb70HGeZU/OVnwSWTt6uv6KPvMjQE7onNE/n0mcK05Oi3wr9hY6ZEs2bX5j25d6FC4+iBD7/mPOOKcoKU28Jf0DCd4Yc8Lsz/PRw77bb4k+PsGD6vAv+QX4mc0DdFZOow2WBiwNq7s2soqJ+3bb7T8SHjCkrv/ColcY8vbB79dyJQ7o2q+RDT/eiPn282/zLuw2ETVYLsbM3HXgolKA7DYb6jO660+akaRb5eW2g7ngu5BT9LmoTNOyyifrhrMtnCEXZMRd1K089P6pWr91x9P+ak9oI6TXlnytkxr6mC1LfmV5Z9+O63HjzP/4LExh59u5bNgaZA9upJzIHlN4M0WzlgFJ+GzBPOZLYHDAjcXtnetOYz86wcw93VA7oiB3criaQXy8vaF/ahVD5tpx15A17EK//+siCHFA/78reHFDCELdvL8z8V5ADvytodmwgDvLz7t5lXZ0IQlmy926hi0UYOSxfMbA/B1Q/Wx5AHZkQzpXGnWc/rcjkmCju+dpWSrGvxunP/26ej1CW6rXjHTOTK/ZaaJMCivw1J5yyJwXMohzQ8V8vVraG5Zf03/UywqPKsLDXaWR8+PjKzgThVGncBdMvGDvqa1eNJPajPd+a9rzHzk88gKwnLQfUvv+7eWV7LpAA2Ul3rWuC+pRquVrMRfd016GmhoDgx63xTB6ZsuK0W/pnqK81+lq6yioz+HPnGforvsrkhQYe1X1IktEHBpZSUfVRFO64wWxuv+HIgHpD0aEnrf2Wge8GOeB3x1ygRnfzHeEfoyRzkX7+3L3M5YCax7qLAzo1W8G91YKO9sPyZtSnjKr+X/aczy/wM0774dj6I2afD2kRl1f1rUj9pFKWG3/F9jePyELs7E0HHgqlXx73k64GAl1rBRm1qUN+ajVFBh5JylDfmFqv+w7d5e+0rxY1dCYUJUecpT5zU04NrzXgoKUfk1IbIb2mNnJAO5suhIxaF0gfXNBn+lg7xuIQGHlSR4PYQea4duoJHU+mnRgV+Mdt3f/a+xEhga0cUOpvAwcTnQMmbOlIn6NF9YTpfRes7Ry6KR6Ce7jlLSPUC9Zkfge340Mq/cHCxp70FewD/n7Cb5vEHJAzGq2z97xg6UNcyl7okK8ghgO/K+zcQEbpz1a2rd1v190Dg8ooCaqMZU8s7/wOy1cM7M0Bk2/Npqcw0jc7vsPJjahdvHHgKt6JSxZLsavGZNTuAR2mbFk9KrBSmQoN23fpFFC1dGn/4Om7n1i5qqJ14vYUqbV1+NeLla1h+SX9d73iJ+OVDFJu/1HHnSBU5UKO83dRO+prV40k9qM935r2vAfnBUOOJSkH1H5YFVCg3QaL94CFbJX84dqRI9c+mv9tJW5vz4LUb4aC3cMEb0tkRnN/VlXq17PpT2I9MmJlc/oDTe7dy3DFUzJmU8d8uk/TQ0I/5lP29qB+yBL5O27SzxNKOzGksO7MXxnh2nm76Zephr5hvO5VVY0/uNfBhpwDOeD3l3SoH30CvbLCVAtnQKpvTNYfY/Pu2ZepHJD8vKYl9dtF8PgnbmcwtZsbr8KifbWk/eD9ov8wLfAzLu1USMl6854LVFPzYlEjV4K+bgHzhGViC7GvNx15KJR6OoT+LWntrx8pH158MO1R8uv2rl7Up7tP730xlyfU67uXmRSkfb+iuSuhKD7keFLS0SG1hh23dOEa6Y2QXFMbOaC9TReifb24IT1dR1WDdxMFrtQv7z5zihI6gJA4GsQMMnpDO7CdOoLHk4cG1ptyXf//dn5ESGAzB5T428DBxOaAaRdGltb97CU82v3HP+EwbiN9pxOhnYPZbwT3cMtbRnhDWJHpHVzy/k1Gb+1MrVGmrPybWWyZtC3ImXoDEzMln5wxctsH/Ss2R6N12pd/1af/WO3Seq3wiYvCR8V2DHEJe6HYHVsMB35X2LmBGAmXpjVtOfcWPVziL06q5koQrtWnXLIUNTgsXzGwKwckY8+OrkgND7l3q5XPeWtLOzns5178szEtl2JHjcmodR38mZsvk2mxnz9GfE0WGA+SiNtTJNfW0V8vlje9lZf03/WcKxZQe+6TxU095YSiRJ+9vIspSq+vXTWS2o/2fGva8x47P/EAspyUHDDp8sSKLlL+IgZZKOFQf+q7RSb3CtrEv3ItGbU5yJMg3Or9+cA01Ut9c3bjyn+PPEkw+RjSPp9f14kgBE/mUV/R/RVHXrj3PuOVRciY7cEF5PSNnwTuB6m+O6OKkqpX8E4mhdTcn1VNl/TJvVuvNps7lBDWzVP3l3kJl3iCbIYcMAdIu/lbFRVBONVb8MJsL6XoTrCnduKqv93i/srKVA6YuK+X7rZopnfPo8Qd6Ef/tvXquVf3O4f8tKpNi0XiT5sS+BmXdmpYMZeGi4XKoD9TVM6t10Yz/7ZMdCF29aZDD4XUj+b60yHrT2MuCkUmdLLavNGcJ2abLW5PD2859QHb8Zd+dQYdNv5dhYz4t7U7IS/cb9uWfrV+OSNYpI70Rkitqa0c0O6mCyCjdgZTP8kJJ3/h5bWvFjVrwH1J8ABC2mgQM8h0G9qB7aTpr/dBOAdx7r+SEtaz/u/3mX/Y9xEhgc0cUOJvA4alHyZSicsByS/b6SFDUZQcfNTkemn6SX9CF5lPPj6kGP2LS3APt7hlxG5bjkzu4JL377RTIbqGFR5ywrRhzPY2xEwJW7o2nvdc/5Lt0Wgd+WVrF/rP1d7dw8xvJEtJOz6Y/vOx6VGxHUNc/F4oescWwYHfFXZuIJr2/faedbpt/WBoUdrjvwMKyAll6X77hBNNx+UrDDtyQPLL3r4llYRMUbzbDpMzmrSvFzX2G3OJd2Rjscr21Fjz4PcahbpuN69rJojbU7L+e9kGy5veyksCOSDViS9XBtB/yyjSZYtx5FEk19euGkn//LPjW9Oe99j5iQeQ1dLDR+n/MOrcfpOFywnppb3a1re8M+EcuN6hn5BgJ8OtQAhV3fnPuZ9ECRfG+KnkHnVCb5l+1MYdHkj/OYb6gdl2ncmfDMmYgwNKKAi3FitMT4pIv/1bZeorzL3+/EfcD9W0W7NquhJOteeY/dhXP5hdQ0WoKk2+Zly/hvr4z/9z//U3P/O/cmlxB/rScaZM7tN5i9XrlsB3hBwwJyDjLkyq7kooyw4zOeOCQsYcGlhSQbhWm3ghjvda0vbO9E+vysyfuCVJDx+t+3ZQVf/9AW8/J7+dHllBNw2L+R2m/bi6bRPxvzgzMr7914b+GVeb8x76IEyuqjDhsvlElxTqENzFQtDDJ74Qe3qT/LyqBf0TU+ivYSm6C8IQnr3Nb46Rfkl3U3SzQ6GkG7Pr5iPkns2XmJ+oRUYdHFSryyahK7YmHOxH/V4k5ErfYSc5zSSjNnbIT8jzF/WtOlZ/FTFhththfnQkrab6M4AIz177BX/u0+xsuhDN6/Udqe8QRfEeu8wPbeNP/1Kr/b/cS74zI88kp5I0GiSMVAe2k3rDl3WB1Obh3rtbc29Ww+47jD/d7PqIkEDziL5OgIzI33OfxU0r6bcBjfvDhHnKTkwqIpMXHmwxB0y8u7S17vwEwrXKqBNmsY7+5Aj6Ysj8AsgvO/pXLe5J7Xce3feYtd32lpEiczu45P1bfX0SPXeF8OwWZnIAqn48r20JH4WhP8mIVYEtl39kXsx0m9UvVrfxkROu9ec9Nts31C9Xt6GOmakPTdPozZ4hLnYvdMhXEMOB3xV2bqCM9Le7h1TybrGC+/FHfVXr7r0hL9hq5TOzzhD8YmY4+MuP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},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## サンプル\n\n7人の科学者は同じ物理量を測定したところ、それぞれが次の `Y` のような観測結果を得た。\n\n`Y[1]=-27.020`, `Y[2]=3.670` の2つの「外れ値」が推定結果にどのような影響を与えるだろうか?"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "Y = [-27.020, 3.570, 8.191, 9.808, 9.603, 9.945, 10.056]\nn = length(Y);",
"execution_count": 3,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 4つの確率モデル\n\nNormal distribution model:\n$$\ny \\sim \\mathrm{Normal}(\\mu,\\sigma)\n\\tag{Normal}\n$$\n\nCauchy distribution model:\n$$\ny \\sim \\mathrm{Cauchy}(\\mu,\\sigma) \\sim \\mu + \\sigma\\; \\mathrm{Cauchy}()\n\\tag{Cauchy}\n$$\n\nt-distribution model 1:\n$$\ny \\sim \\mu + \\mathrm{TDist}(\\nu)\n\\tag{TDist1}\n$$\n\nt-distribution model 2:\n$$\ny \\sim \\mu + \\sigma\\; \\mathrm{TDist}(\\nu)\n\\tag{TDist2}\n$$\n\n自由度 $\\nu$ の t 分布の確率密度函数は次のように書ける:\n\n$$\\displaystyle\np(x|\\nu) = \\frac{1}{\\sqrt{\\nu}\\, B(1/2, \\nu/2)}\n\\left( 1 + \\frac{x^2}{\\nu} \\right)^{-(\\nu + 1)/2}.\n$$\n\n$\\nu=1$ の場合がCauchy分布である:\n\n$$\\displaystyle\np(\\,x\\;|\\;\\nu=1\\,) = \\frac{1}{\\sqrt{\\pi}}\\frac{1}{1+x^2}.\n$$\n\nパラメーター $\\nu$ が大きいほど $x=0$ の周辺に分布が集中するようになる。"
},
{
"metadata": {
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "f(nu, x) = pdf(TDist(nu),x)\nx = collect(linspace(-10,10,400))\n\nfigure(figsize=(6,3.6))\nfor nu in [0.25,0.5,1.0,2.0,10.0]\n plot(x, f.(nu,x), label=\"\\$\\\\nu = $nu\\$\", linewidth=0.8)\nend\ngrid(\"on\")\nlegend()\ntitle(\"Probability density functions of t-distributions\");",
"execution_count": 4,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 600x360 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "f(nu, x) = pdf(TDist(nu),x)\ng(sigma, x) = pdf(Normal(0,sigma),x)\n\nnu = 1\nsigma = 1.5\n\nx = collect(linspace(-10,10,400))\nfigure(figsize=(6,3.6))\nplot(x, g.(sigma,x), label=\"Normal(0,\\$\\\\sigma\\$=$sigma)\", linewidth=0.8, linestyle=\"-\")\nplot(x, f.(nu,x), label=\"TDist(\\$\\\\nu\\$=$nu)\", linewidth=0.8, linestyle=\"--\")\ngrid(\"on\")\nlegend()\ntitle(\"Probability density functions\");",
"execution_count": 5,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 600x360 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Cauchy分布およびその一般化である t 分布の裾野は重い(太い)。\n\n正規分布では確率密度函数の裾野が指数函数的に $0$ に近付くが、 t 分布では $O(|x|^{\\nu+1})$ のオーダーでしか減少しない($\\nu >0$)。"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 4つの確率モデルを記述する函数の定義"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "logpdf_TDist1(mu,nu,x) = logpdf(TDist(nu), x-mu)\nlogpdf_TDist2(mu,nu,sigma,x) = logpdf(TDist(nu), (x-mu)/sigma) - log(sigma)\n\nnegloglik_Normal(mu,sigma) = sigma > zero(sigma) ? -sum(logpdf(Normal(mu,sigma),Y[i]) for i in 1:n) : Inf\nnegloglik_Cauchy(mu,sigma) = sigma > zero(sigma) ? -sum(logpdf(Cauchy(mu,sigma),Y[i]) for i in 1:n) : Inf\nnegloglik_TDist1(mu,nu) = nu > zero(nu) ? -sum(logpdf_TDist1(mu,nu,Y[i]) for i in 1:n) : Inf\nnegloglik_TDist2(mu,nu,sigma) = \n (nu > zero(nu) && sigma > zero(sigma)) ? -sum(logpdf_TDist2(mu,nu,sigma,Y[i]) for i in 1:n) : Inf\n\nnegloglik_Normal(x) = negloglik_Normal(x[1],x[2])\nnegloglik_Cauchy(x) = negloglik_Cauchy(x[1],x[2])\nnegloglik_TDist1(x) = negloglik_TDist1(x[1],x[2])\nnegloglik_TDist2(x) = negloglik_TDist2(x[1],x[2],x[3])\n\nlik_Normal(mu,sigma) = exp(-negloglik_Normal(mu,sigma))\nlik_Cauchy(mu,sigma) = exp(-negloglik_Cauchy(mu,sigma))\nlik_TDist1(mu,nu) = exp(-negloglik_TDist1(mu,nu))\nlik_TDist2(mu,nu,sigma) = exp(-negloglik_TDist2(mu,nu,sigma))\n;",
"execution_count": 6,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 最尤法の実行"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "fit_Normal = fit_mle(Normal,Y)",
"execution_count": 7,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 7,
"data": {
"text/plain": "Normal{Float64}(μ=3.450428571428571, σ=12.620958836759735)"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "あえて optimize() 函数で実行してみる。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "opt_Normal = optimize(negloglik_Normal, [10.0, 1.0])\n@show opt_Normal\n\n@show nmu = opt_Normal.minimizer[1]\n@show nsigma = opt_Normal.minimizer[2]\n@show nmu_str = @sprintf(\"%.1f\", nmu)\n@show nsigma_str = @sprintf(\"%.0f\", nsigma)\n\npred_Normal(x) = pdf(Normal(nmu, nsigma), x)\n@show maxloglik_Normal = - negloglik_Normal(nmu, nsigma)\n@show AIC_Normal = -2*maxloglik_Normal + 2*2\n\nsleep(0.2)\n\nmu = collect(linspace(-10,15,100))\nsigma = collect(linspace(6,24,100))\nL = lik_Normal.(mu',sigma)\ncmap = \"OrRd\"\nfigure()\npcolormesh(mu, sigma, L, cmap=cmap, vmin=0.0)\ncolorbar(label=\"likelihood\")\nxlabel(\"\\$\\\\mu\\$\")\nylabel(\"\\$\\\\sigma\\$\")\ngrid(\"on\", linestyle=\":\")\ntitle(\"Model: \\$y \\\\sim \\\\mathrm{Normal}(\\\\mu,\\\\sigma)\\$\")\ntext(-9, 6.3, \"Sample: $Y\", fontsize=9)\nscatter([nmu],[nsigma], label=\"MLE\")\nlegend()",
"execution_count": 8,
"outputs": [
{
"output_type": "stream",
"text": "opt_Normal = * Status: success\n\n * Candidate solution\n Minimizer: [3.45e+00, 1.26e+01]\n Minimum: 2.768008e+01\n\n * Found with\n Algorithm: Nelder-Mead\n Initial Point: [1.00e+01, 1.00e+00]\n\n * Convergence measures\n √(Σ(yᵢ-ȳ)²)/n ≤ 1.0e-08\n\n * Work counters\n Seconds run: 0 (vs limit Inf)\n Iterations: 41\n f(x) calls: 81\n\nnmu = opt_Normal.minimizer[1] = 3.450141062827999\nnsigma = opt_Normal.minimizer[2] = 12.620659842630458\nnmu_str = #= In[8]:6 =# @sprintf(\"%.1f\", nmu) = \"3.5\"\nnsigma_str = #= In[8]:7 =# @sprintf(\"%.0f\", nsigma) = \"13\"\nmaxloglik_Normal = -(negloglik_Normal(nmu, nsigma)) = -27.68008156065995\nAIC_Normal = -2maxloglik_Normal + 2 * 2 = 59.3601631213199\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 640x480 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 8,
"data": {
"text/plain": "PyObject <matplotlib.legend.Legend object at 0x0000000059964C88>"
},
"metadata": {}
}
]
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "opt_Cauchy = optimize(negloglik_Cauchy, [10.0, 1.0])\n@show opt_Cauchy\n\n@show cmu = opt_Cauchy.minimizer[1]\n@show csigma = opt_Cauchy.minimizer[2]\n@show cmu_str = @sprintf(\"%.1f\", cmu)\n@show csigma_str = @sprintf(\"%.2f\", csigma)\n\npred_Cauchy(x) = pdf(Cauchy(cmu, csigma), x)\n@show maxloglik_Cauchy = - negloglik_Cauchy(cmu, csigma)\n@show AIC_Cauchy = -2*maxloglik_Cauchy + 2*2\n\nsleep(0.2)\n\nmu = collect(linspace(8.5,11,100))\nsigma = collect(linspace(eps(),2,100))\nL = lik_Cauchy.(mu',sigma)\ncmap = \"OrRd\"\nfigure()\npcolormesh(mu, sigma, L, cmap=cmap, vmin=0.0)\ncolorbar(label=\"likelihood\")\nxlabel(\"\\$\\\\mu\\$\")\nylabel(\"\\$\\\\sigma\\$\")\ngrid(\"on\", linestyle=\":\")\ntitle(\"Model: \\$y \\\\sim \\\\mu + \\\\sigma\\\\mathrm{Cauchy}()\\$\")\ntext(8.6, 0.05, \"Sample: $Y\", fontsize=9)\nscatter([cmu],[csigma], label=\"MLE\")\nlegend()",
"execution_count": 9,
"outputs": [
{
"output_type": "stream",
"text": "opt_Cauchy = * Status: success\n\n * Candidate solution\n Minimizer: [9.81e+00, 4.09e-01]\n Minimum: 1.966369e+01\n\n * Found with\n Algorithm: Nelder-Mead\n Initial Point: [1.00e+01, 1.00e+00]\n\n * Convergence measures\n √(Σ(yᵢ-ȳ)²)/n ≤ 1.0e-08\n\n * Work counters\n Seconds run: 0 (vs limit Inf)\n Iterations: 39\n f(x) calls: 82\n\ncmu = opt_Cauchy.minimizer[1] = 9.812920133887147\ncsigma = opt_Cauchy.minimizer[2] = 0.40897290161134037\ncmu_str = #= In[9]:6 =# @sprintf(\"%.1f\", cmu) = \"9.8\"\ncsigma_str = #= In[9]:7 =# @sprintf(\"%.2f\", csigma) = \"0.41\"\nmaxloglik_Cauchy = -(negloglik_Cauchy(cmu, csigma)) = -19.663689546771376\nAIC_Cauchy = -2maxloglik_Cauchy + 2 * 2 = 43.32737909354275\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 640x480 with 2 Axes>)",
"image/png": 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p/B//+AcnhPAxY8ZEpXtPRjZ2JN0Kp40dzjnfuXMnv+mmm3hycjJPTEzkN954ozGCJ5ANGzbwK6+8ksfFxfFhw4bx3/72tyGjbXwUFxfzBx98kA8ePJi7XC4+YMAAPnXqVP7rX/86RGfzjxeAEB3t4PF4eHZ2Np8+fXrQyJ3O4oknnuCqqvK3336bjxgxgickJPBZs2bxTz/9lI8ePZpnZWWFjNKKhN3Gzrlz5/i9997L+/bty+Pi4vjEiRP5c889F3EEV0FBAV+0aBEfNmwYj4uL48nJyXzSpEn8iSeeMEZKVVdX84ceeohnZmbypKQkPm3aNL5z504+c+bMsM/ngw8+4FdffTVPTEzkl112GX/55ZfDlo8vvviC33333bxfv35GWVq8eDF3u92cc2eNHc45HzFiBB83blybNk+fPp3PmzcvZP/HH3/MAfB9+/a1ea6k6zE3dt566y0OgCcnJwdtqqrye+65h3Mu6iFfI7it7dFHHzXyLCoq4jNmzOAAuKIofPLkyfz++++PWK4udQjnnHd+/5FEIrHLc889h5/97GcoKCgwRiR1JvPmzUNFRQU+//zzTr+WJDwHDx7EVVddhZUrV+I73/lO2DQ5OTlYsGABTp06FRRsunDhQpw8eTJoBJ+k+0EIwfr163HHHXcAANatW4f7778fR44cCQk879OnDwYNGgSPx9Om69JHeno6Bg4cGLSvsbERdXV1yMrKwoIFC9DQ0NBr52GSAcoSSTeiqakJBw4cQH5+Pn72s59h+fLlMWnoAGJ4+de//vWYXEsSzIkTJ3Dq1Cn89Kc/RVZWVsRlNu68805MnjwZK1aswMsvv2ycv27dOmzdujVGGks6ikmTJkHXdVRWVoYdbQoALpfLiNeyQ3JyMpKTk1FdXY0PP/ywV6+dJhs7Ekk3YvPmzfj617+OQYMG4ac//Sl++MMfxuS6p0+fRmVlJa6//vqYXE8SzK9+9Sv84x//wLhx4/D2228jKSmpzbSEEPztb3/Dhg0bwBgDpRSnT5/Gyy+/jGnTpsVQa0l7aWhoQFFRkfF/cXExCgoKkJGRgTFjxuD+++/HAw88gOeffx6TJk1CVVUVtm7dii996UuYN2+e7et9+OGH4Jxj7NixKCoqwo9+9COMHTv2kl0vrj1IN5ZEIpFIJJ3I9u3bwy7xsWjRIqxevRoejwe//vWv8frrr6OsrAz9+vXDlClT8NRTT+FLX/qS7eu99dZbWLZsGc6cOYOMjAzcddddWL58OdLS0jrCnB5JlzZ2VqxYgXfeeQeFhYXGLI/PPPMMxo4dG/G83NxcLF26FEeOHEF2djZ+/OMfh8xHkZOTg1/84hc4ceIERo0aheXLl8sueolEIpFIeiFdOs9Obm4uHn30UezZswdbtmyBpmm49dZb0djY2OY5xcXFmDdvHqZPn479+/fjpz/9Kb73ve8hJyfHSJOXl4cFCxZg4cKFOHDgABYuXIh77rkHn376aSzMkkgkEolE0o3oVm6s8+fPIzMzE7m5ucbMj2Z+8pOfYMOGDUGTj33729/GgQMHkJeXBwBYsGAB6urqsHHjRiPN7bffjvT0dKxdu7ZzjZBIJBKJRNKt6FYByrW1tQDEdOxtkZeXh1tvvTVo32233YZVq1bB4/HA5XIhLy8Pjz/+eEiaF198MWyeLS0tQVPEM8Zw8eJF9OvXD4QQp+ZIJBKJpBfAOUd9fT2ys7PbXFKlI3C73WFnDLdLXFxcyAzLlzrdprHDOcfSpUsxbdq0NhcpBMSU9ua5BAYOHAhN01BVVYWsrKw204RbEwkQsUNPPfVU9EZIJBKJpNdSWlra7gVi7eJ2uzEgMRENHZDXoEGDUFxc3KsaPN2msfPYY4/h4MGD7Vq7w9zb4vPEBe4Pl6atXpply5YFrbZcW1uLYcOGoejzTeifngadMwCAQih0xgBCoBBA0xkIIVAogabroISAUgJNZ6CAX6YElBBoGgNVhOzRdKgKASEEHo1B9X4MaDqHqhAADJrO4VIpOOfQNAaXSsE4B2McqmKSGQPjgKoQMObbT6AzgHNAVQCdifukUBIqc+61g4MQQKEcms5BidcOjfllnYNSCJt89gHw6AwqFdcsKKnHVcOToCoEGoPfPga4FALOmCH77fDJAXb4bNJ1Q9YZBwe81/LaQdq2T2McBH77wtsRXvboHCoFCLgh++wIsYlzk00ItakN+3w2AcCB062YOMSFeJW2bRMnID65XTYh1KYAGaSN5+SzSVUs7CDBNnl154Z9pO2yB0BRaEDZE7oE2URo8PtEadC75dFEPgdLajF+WCoS4qj3fRJl3ye7VK9NOoLfJ8M+3/skbBQyBwOgKj6bOFRF8b83CoXOfTZR6DoDCPU+G18dQaExJuoIIsqkXxbDx4PeJ0Lg0XWolAY8J69NjEH1Tj6nMQaXooBzv+y3wytzDpdCwRi8NoUpe1w8n4J/n8GXRmcjPk4VdnifjbBJ2Bdkk+6tFxTVWwd6n5OmC5uoqOsUqhiyqlAQSg1ZPBsWJLtU1fucmCh7jENnfpkxBtWleus9r60Bss5YwHNiABcLyLZtkw5CqSGLutwkt2mThvr6Bowcfz1SUlLC/sZ0BK2trWgA8DiAeKvEEWgB8EJFBVpbW2VjJ9Z897vfxYYNG7Bjxw7LVvGgQYNCemgqKyuhqqqxMGNbacy9PT7i4+NDFgoEgPS+qUhNbWP14JBQJ25xPCQDi/Ssg/OzOD/a6wcc1xnH8EEUfdPiodA23IC29WMWx23eH7tYXb+D0BnHsIHxyEhT2753AEDsdpVbuGOt3LWW1zOdH5Kfxfnm9FbnhxwXP9rDBhH0T0+GonSwvmGu17nHzdjUx/S/tTueQGcMw7IzkZGeGjKTb7j0wf9Ge78t0odNYjfEIMp3IEJ+PtdVLMIeErybU3prYEaXjsbinOOxxx7DO++8g61bt2LkyJGW50yZMgVbtmwJ2rd582Zcd911cLlcEdNMnTrVln6KjNdxhEIJRg1KiPxjLQmLQglGZbrkvXOAQglGZfWR984hCqUYPbQ/lE6MOblUkfes+9OlT+jRRx/FmjVr8MYbbyAlJQUVFRWoqKhAc3OzkWbZsmV44IEHjP+//e1v49SpU1i6dCmOHj2KV199FatWrQqaafb73/8+Nm/ejGeeeQaFhYV45pln8NFHH+EHP/iBLf00FvA1z3nwZhvzum3RYsrPrn4h6Zlpc36+puvIO1YPTecR0lvcD85MWxgbI+ZnN3+rzeL6HbRpGkNeUQs0zeqaNvW3uj+WupnzC7mhkfOzKl+Wz9d0fpjnr+k68o5egKbrYY7HGqv7EeX7a1cbzoO2cGg6w+4DJdD0GPRidvnz6Vg0XY/ZtUgHbL2RLm3s/PnPf0ZtbS1mzZqFrKwsY1u3bp2Rpry8HKdPnzb+HzlyJD744ANs374dV199NX71q1/hpZdewl133WWkmTp1Kt5880289tpruPLKK7F69WqsW7cON9xwgy39qOzZcQQlQHZGHOQHtn0oAbL7UnnvHEAJQXa/BPneOoQSYPCAVFn2HBDLMkc7YOuNdKt5droLdXV1SEtLQ01xnj9mp9vFzFhdL+QC9q4XcnoHn283RqejY3LsxuB0t9fEbuVqN6bC6no9IIYnuuPR5m8mxvpYPE9CRAB2q4eFTx+1PRbpLY93RcxO2wdcKg0TB+Y/oa6uHmlZY1BbW4vU1FSberUP3+/SE4guZscN4GmgU3XtjnSLAOXuSpAbS9JuNJ0j71g9poxN8Y4sk7QXTefIO9GKKaPi5L2ziaYz5B2txpRx6cZoJUl4WjWG4opmsIAfbA6gpVVDfJwKckk6O6KxiaNvSjwG9esTNgg5lm4siTNkYycCkbsmo/zSt9szYv8CFtezOt15Tw4lwKiB8aDgAWrEuCcn6tFbNq/XQVDKMSpTAaVW9tnN2eJ+WPXUhFzPZn7m84nV87Hq+TGXFwoKYNSgJG8fiLn8ms83X886f3vnx7qxYFUgAho1nKP8YgsUVwKGZmWCEv8d8+g6XIoS2izoxa5BzoGm5mZUnj8PoAFZ/UOHl8fSjRVt3E1vfZKysRMB6ft3BqUE2RlxXa1Gj4QSguy+slfCCZSKmB1JZDSdo6mVIzurH5ISE4OOJbZxTuc3drp3XZuYKMpVZWUlMsNMbdCZsyabiTbuprfG7PRWu9uFdGM5Q9M5th2uCx6NJWkXms6xrbBV3jsHaDrDtoNVsRlN1IPxTeQYFxf8rcsB1DW1xKgPs+chGoZiElgzmibdWN0d2bMTASqHJTiCUmDC0ETIqSfsQykwIVuV984BlBJMGJYi39t2Ei4uJzHe1QWa9Az8nVuhzcFY9uxIN5YzZGMnAtROsejo0Tp2Ry/ZxiJGJooYHwogM81XtNrIxzJGp7Njcjp59JZDKIDMFMCYe6Ut7M6gbGlulDE4VvlZxvBYvGtWz5OIZQsy+7oQ9t5ZxthYHTffn052NYbobxVDFP1PGAHgspx5WhKOWDawpRvLGb3V7nYhu8Odoekcmw9IN5YTNJ1j8xceee8coOkMmz+/IN9bhzAAtY3uDh8q0RvwSDdWt0c2diJA5dBfR1AKXDcqSbpiHEApcN1wRd47B1BKcN3lqdKN5RACIDkhrtu6ORY/+DCIGo9vf+fRkGPfeey7IGo8Fj/4sJH2jju/0WZeI0aNAVHjQ7bfPvM7R7rFcrkIOamgM6QbKwK23FgSA0oIMvrIouUESggykmW5cwIlBBkpMubEKQQwVh5vDzrj+KykGpX1rchMicP1I9I7fV2yoUOH4s11b+OF559Donckmdvtxto338KwYcNs5fX0L5/ENx9+MGif01XLY9nAljE7zpC/SBHwRNUd3sluiKhnVLZL+2NsPDrHlgN1mHNVKly+3rGOjtHp7Hl47ObXQXh0ji1f6JgzXvHfu7DqmLvNrWaHtTuPjhmLGBzL/OzG8Jifj/WPsEdj2LL/IuZMyoBL7eTv1w6PCTJfIPY/SQxAXYMbqX0SLO/2piOVeOr/jqG8rsXYl5Uajye/Mha3T8jsNB2vmXQ1ThYX45317+L+++4FALyz/l0MHToEl7VjIelAUlL6YNCgQR2il0fTOiQfSefRW3u02oWcwdYZKgWmjeuDzv69uRRRKTDtckXeOweoCsG0CX3le+sQAiAlKd6ymbXpSCUeeeNgUEMHACrqWvDIGwex6Uhlp+kIAEsWPYDXVv/d+P/V11bjwcWLOvWaVsRyxm7pxnJGb7W7XVyaU6Z3PoQQpCYqYadVl0SGEILUBCLvnQMIIUhNUuW9cwgBoNDItZ7OOJ76v2NhOwJ9+556/5gxl09nsPD/3Y9dn+xGSUkJTp06hU925+H/3X+f7Xx+suxn6JOWEbRt357rSKdYljmC6Bo6vfXtkG6sCETnxjLR6ctDWGF3qLlz/Tw6x8b9dZh7dZ8AN1aM3VaWbip7lXGs1sv16BybjjDcPoFGdmOZsKxro3V7hTw+U35WC4V2tFsrzHISHp1h476LmHttBlzmms32cg9Wx2M8FD1qeIjMA/YStM+N9VlJdUiPjvkq5bUt+KykGlMuy4ha63D0798fX543F39/fQ045/jyvLno37+/7Xx+9P8txeJFC4P2DR482JFOsXRjyZgdZ8jGTgRkd7gzVArM+VKydMU4QKXALVdQee8coFKCOVenQ5WjsRxBAKQmR3ZjVda3tiuv9qZzyoOLF+Gx7/8AALDypT84yqN//34YPXp0h+gjF57t/sjGjqRTkA1F56iy3nSMLHdRYtFFmJnSvjXv2pvOKbfffhtaWz0AgNtuu7VTr9XdkJMKOkM2diIgJ3ZzhsaAjQUNXjdWV2vTs9AYAtxYXa1Nz0Jj3O/G6q01ehRw+N1YbTV5rh+RjqzUeFTUhV9DiwAYlBaP60ekd56iABRFwdHDBww5HLW1dSgoOBC0LyMj3RiiXl/fgIqKiqDjSUlJSE1Nta2PpsduUkHpxnKGbOxEIKZfibaHkse4IWapnz+GQSUcc69Khkp4QLJoY3TsDiWPnN52DE6HLxcRPkhEJRy3jwdUwgDe/vIXYo7F0HDrGJ8YDzXvgBgelQBzr0mHSuBguQWzPjbf/c4eim43hjONq+EAACAASURBVMmBPQSI2NABRADzk18Zi0feOAhiUst33pNfHtvp8+0AsGyUbM/NxaTrrg/at+iBhVj96v8AAJ745VN44pdPBR3/1n89jL/8aaVtXaQbq/tDeKwiL3sQdXV1SEtLQ3XxbqSleieZirYxYhUA3NGNHbvXi1o/FpCUw93KkOAKHFUkGzumDE3/i/vEOYdbAxLUKEd4WDZ2rPK2CDi2TG91fgenBxX3zsOQ4KIg5hltw6Tv6OtHPm51frTH2399d6uOkvMejBg+HAkJ8cZRDlH+CAkzIsuUX9h5dtLi8eSXnc6z0/37G9xuN4pLTmNkdioS4l0I1Lm2tg59s8eitrbWUc9Qe/D9Lr0IIDGKfJoB/ADoVF27I7JnJwLSjeUMjQFbDjdh7lXJ0hVjE40BHxUCt4+HvHc20RjHlgM1mHtNunRjOYADqGtssezdAYDbJ2RizrgBMZ9BubsSSzeWjNlxhmzsRECuAOwMl0Lw1Wv6dLUaPRKXQjD/S12tRc/EpVB8dXK/rlajx0IB9O2T0O70CiWdNry8p+FS5U9pd0c+oQhwzjph2YVOogvdVqGqcNQ360hJoG27S7rabdXZy0XYLjfcOK2hBegTb/Ic2HVpWdjHLb7vQi5nNU9PR8fkOIjh4Zyj3s1EubOa98YyZsluDE5Pm3cnFA6AMQ4abmLBkPvRO3tw2iKW0SAyQNkZsusiAtKN5QyNAbuONUOL9byJlwAaA3adhLx3DtAYsOuLOnnvHMIB1DeFH2UliUxXuLHkchH2kD07Eej0xQQvUVwKwbyrpRvLCS4FmDu+q7XombgUgnnXdu6Q50sDbzC8qVlj143V2/B33oT2jcTSjSVjdpwhGzsRYEFdk/J7JyIB94pxjppGHX2TKaivu9uu28rmcg+W3cg23V623VAdNFqLcaCmGeibCATFetocWh5ygtntYOGWsu/m6mQ3VTvS+8udAvNgrFC3Uncbih4754IvFNHTqiExoG3DAeg6g6LQXuvqiERTczMAHvYjmHXiWmCSjkE2diLApBvLEYwBe4tbcNP4RNCeF7rQpTAG7CulmD2ayXtnE8aAvScacdPE1DCNHYkPVSFIdAHnq6qguhRQQo21sRqbW5CcGG/99d+LYnY4Fw2dyvPn0TclHkqYgSs6i53vVMbsOEM2diKgSjeWI1SF4NYvJXW1Gj0SVQHmjJVBJ05QFYJbr0rrajW6PYQQZGXEo+ScG6dPl4Ycr2pfLh2tVgyIRmeOvinxGNQvvHveFcM1XqQbyxmysRMB1lNGYnUzGOeoqtfQP0Xxu7Ek7YJxoKoR6J9scmNJLGGco6pOQ/9UVZY7C+JUitHZiWjVOOCdSJAxjur6ZqSnJIJadY3ZnvQwJAOL/63St0cnm3m0eZjApdKwPTo+pBur+yMbOxGIWIC73fINMR5qHiE9YxxHzrRi+ph4UN+SG50do2PzfMuYnM4emt4GjAFHKhRMH6lHdmNZDQUPwerHy17+5pie7hDDwxjHkdJmTB/XJ9SNZfW8rYaOR7schCXm8mmVX/SNOUoIElz+fDSd4VjxOUy/ZmSYuBS7MzxHOeO2VfqwSaJt7Di/pyzGbqxoemd662eAbOxEQJWTCjpCVQhmj5OjOpygKsDs0bEbxnopoSoEsyemdLUaPRZVoZg9eVRXq9EjUWPoxpIxO86Qv+YRkF2TzmCc42y1Lt2ADmAcOFtLIIuefRjjOHvRI99bhzDGcfZ8nbx/Dohlz47EGbKxEwH5Y+0MxoATlR7I998+jAMnL1DZ2HEA48CJcy3y3jmEcY4TpRdkveeAWN4zOamgM6QbKwJRubFivcp5N0JVCKaPjdaNZTdGx+a8OXZjfKzy6yBUAkwbqbVLhWCim1fHch4fi5icLo/hId5yN847WiYkxsZqXh3z/bCI0bF0Bti8nl1s22eVIYGqUEy/ZmR0evVSVEW6sbo7vbWR1y5kd64zGOM4VaXJ++cAxoFT1dKN5QTGOE6db5XlziGMcZwqr5b3zwHSjdX9kY2dCMjuXGcwDpyt0eUPtgMYB8rrpBvLCYwDZ6s98t45hHFvzI6s92wj3VjdH+nGioAcjeUMVSGYMjq+q9XokagUuHG4HI3lBFUhmDImuavV6LGoCsWUK4d3tRo9kli6seSkgs7oUrt37NiB+fPnIzs7G4QQvPvuuxHTL168GISQkG3ChAlGmtWrV4dN43a7beunX8qfiJwHbzBtnJm29qfXdR0nznmg66z9+ZuOcx68WaUP0S9kszjfdn52N71dm67rOFEF6LpVWovrMRa82b0fVs8/5HiwfpyZNs6CthB7LO+/tb66ruNEhVvcO6v8LN8HZtpsvj/WL6A9/WKAzhhOlF7omKUPQp7XpQAxbX66YrmIaLbeSJc2dhobG3HVVVfh5Zdfblf6P/zhDygvLze20tJSZGRk4O677w5Kl5qaGpSuvLwcCQn2A2YtF5eUhIUDuNjIelBIdfeBA6hupvLeOYADuNigy3vnEM6Bi3VNXdXW6tHI34ruT5e6sebOnYu5c+e2O31aWhrS0vxr37z77ruorq7GkiVLgtIRQjBo0KCo9ZNuLGeolGDyyLiuVqNHolLguiGerlajR6JSgsmjErtajR6LqlBMnjC0q9XokUg3VvenR9u9atUq3HLLLRg+fHjQ/oaGBgwfPhxDhgzBV77yFezfvz9iPi0tLairqwvaAKDVI2IndMaMbkpdZ4Z7SzPJrC2Zh8oejRlfAz6Zcx4iAwiSGefQ9DCyzqBpwt0QKOs+GQw606Ez3StzQ/dAWdODZRYo88D9OsAZNE33yl7dGYOuMxwpa4WmC/eFR2eGO8OjifN8+wEOxplht86EDM7AmA5N170yh8ZEl7/OODSde+0Tm3BjMK/rLFj2PyeRB2PiXMM+zqFpDEwXLh/Nw4z9Ho2DM+GG8mh+t4xH97tkhB3BMmM6NE24aIQdIj8WoDsz2aF5bTl6TkGrx2xfsKzpuuHq0nQdjIvraoyFlzUexia/zJlZFveOG89DN9nkK2NMyD6bvHYYz8n3zAx9hbtJ08Xz1nTxfMRz8qcR75AoH4bse06Mmcqe0FHTdBSWueFu1YPKm8+N5itvQhbvAeO+MsYDbAp4NhCjlELfJx5QL/Dg90nnhgtX03Qhg0HTNaEvWNt1hOaTudDd67LzeHRw5n0eHr2NOkL31wvh6gsWXtaZ7x1h+KL4HFo9mr+u86XR/XWgZpJZkOyzQzdkj0n213uBdgTLITaxYFkLlHWfzAxZN8lBdoS1SQ+SWTi5TZs041qxINYByitWrMDkyZORkpKCzMxM3HHHHTh27FjEc7Zv3x42nKSwsNDm1TuOHtvYKS8vx8aNG/Hwww8H7b/iiiuwevVqbNiwAWvXrkVCQgL+4z/+A8ePH28zrxUrVhi9RmlpaRg6VHzdHD11UfwtqcbRkmoAwKGTF3C8tAYAsP94FUrKRcMov/A8SisbAAB5R86h4mIzAGDnwXOoqhHxQlv3n0NNQysAYMvnFahvFpXKxvxyuFvFD8bG/ApoOoe7lWHj3nMAgPpmDVv2nwcA1DR4sPWAWJe4qrYVO48IHStqWpFXWAsAKK1qQX5RPQCgpNKN/cVCr+Plbhw61SRsKnPjaJnQ69DpZhwvbxE2lTShpFLomH+yGaUXRS9DXlEzKmrEC73zWDOq6kUFsPWoGzVNQt5ypAX1blEBnDjP4PYAGgM2HmqFxgC3B9h4WNhc3wJs+ULkV9MEbPu3yKOqAdhZJOSKOmDPSfGMSmuAvaeEXHIBKDgj5KLzwOFyIRdWEhRWCo/04XKCoiohF5RRlFwU8t7TFKW1Qt5zSkFFvZB3FquoahTytpMu1DQL+aMiFxpahbzp3wlwa8KmTf9OEDZpQgaAhlaCj4pEYHaNm2Jbsdhf1Uixs0Tsr6in2HNayKW1CvaWiR6wkhoVBeVCrmxUcKTSJWw670LheSEfPudC0QXRGVtQHoeSGiHvLYtDaY34stxzOg4V9dRrUxyqGqmFTXF+m465/DYdE9dsaAE+Oi6uU9MMbCtSvDYBO4up/zkVBzyn0wHPqTTgOZ31PqcKoLBClJPDZRxFlULef1pHyQXx7PNLPCitFnLeCQ8qaoW883hr+LJ3qBENbg63h2PzoSa4PVyUvYIGb9nj2LhfvKv1boYtBeIdrmnUsfWQeG+q6jzY+YWQK6pbkVco0pRWuZF/XMgl55qw/6RIc7ysAYeKRZ5HT9fh6GkhHyqpxfEy8f7tL6pGSYV4//KPXUDpefH+iTpCyDsPVATUEWWoqRfv4pb806hvEu/fxj0lcLeKRvPGPSXeOkLHxjzxgtQ3tWLLpyXCpno3tu4VD6Squgk794sXp+JCPfIOiIdTeq4G+UfES1RSVo39hWUAByovNODICVHvHC2uxNHiSgDAwePlOH5K1EH7C8+g+MwFAMBnh06htELcm90FJ1FeJe7Njn1FqKoWdm/97N+oqRe2bv7kCOobha0f7DgId4sHms7wQe4BaDqDu8WDD3IPCJsa3di865DXpkZs3XPEa1MdduwVP5rl52uw+3NRt5eWX8BnB04AAIpLK7H/iLgfx4vLcfCYsPvoiTM4ekLYffDYKRwvFpXH/iPFKC4Vdn924DhKz4o6dve+QpSfF/bt+OwIqi4K+7buPoCaOmHf5h370dBoPya0p5Cbm4tHH30Ue/bswZYtW6BpGm699VY0NjZannvs2LGgcJLLL788BhqHh/Bu4mwkhGD9+vW444472pV+xYoVeP7553H27FnExbXtMmGM4ZprrsGMGTPw0ksvhU3T0tKClpYW4/+6ujoMHToUF4p2Ib1vqvH1plAqvgoIgULElwwhBAol0HQdlBBQSqDpTLSgfTIloIQHyAQejw5VEa1dj8bgW1pF0zlUhRg9Dy6VGl/ALpWCeb86VUr8skLBdA2MixEpjPn2E+iMg3NAVfxfngolxteNQonR6yHs4CAEUIi4PiVeOzQGSsXigWK/7pepaDV7dA6Vimfp0Rl8awlqDFC9k55pDHApBJwzQ2beXgtV8dkEqFT0JDEu3BOMcTAIN4/4aOaGDAAKYX45cD8V1yTghkwB8TyYWFmcEvhtJYCmw2sr4NHhtYkZsmFTgOxSRMyDTxbPQKx1xTi8drQt60zEnKgm3SPb5JdFuUKwTUH20TA2+WUQEtkmVcz947eJBNsHKmxiIpxXlL1wNnnLG6EBZU+4ATTGvTYRaIz4y57OjffGKG+U+mVC4GE0oOx536HA50RoQNnj0Dg1yp6wQwmQCRhI8PvEafD7pNLg94mTgHeLizrC+/4TQqAoVLz/vjqCkeD6glJhn8ZAFQJKqbde8NURATbp3FiLyagjAG8d4bVDJ1AD6wtV8drhrS8YDFlnDJwTQwYXaz0ZdYRCvTYBChV2EEoMWTwnJdg+TRc2UQKPpkNRVENWFQpCqCGL58T9stcOf72ngDHRQ+Py2cFYgE3M//w4h6ooXpv8MjigKGabWIBNOgilhizsMMkaC7bJkDU0NTahb/ZY1NbWIjU1NezvTLTU1dUhLS0N6wAkRZFPE4AFgGNdz58/j8zMTOTm5mLGjBlh02zfvh2zZ89GdXU1+vbtG4W2HUePHHrOOcerr76KhQsXRmzoAKJSnDx5csSenfj4eMTHhxkq7Q1bVyiFb4SF4ovj4TwopidE5ty0Pzh94KrCQuZemQTsFzIhxEhPCREriXPul+H9sTNsFj8UQndffjxARpuyGrBKuSEH7vfJ3so9ML3LK+uM41iFjnFZChRK4FJgpHd5G3WEEEOmhIAEyFSB3z7is8nfDan4bxcCbi8CQ6wCZTWczNvYDyBwTT+XDZkQBNgEY9VyX4MjkuzTV2eiN+eKAZ4QOyLaRCLY2h6biAObwtlnfk6GbCpvhITsV8OVQ0Mmbez36SsaIkfLWjAuOw6EBJc3BJQ3Qghc3msZ5c0sm98nhOrbphykb4Q6Ikj2pg+pF8LJ/vsXXEcofjvM9YXJjmCbxPV1xnD0ZCXGXZbptcN/TcWsL7GwL6DAuVQlQF/T/rD2KaE2UQJK25Dhk2lA2QvQnYa3I9gmJcAmJXh/WzYZshrTiRgJgVG+HZ3POcBhhGv4aPN30ERtrejdysjIsEw7adIkuN1ujB8/Hj//+c8xe/ZsZ0p3AD3SjZWbm4uioiI89NBDlmk55ygoKEBWVlYMNOtE7A6NtZ2/aaho1ENrQy4QtEU/tNwivd2h5CH307RZnW9Xn47eLIeKm4d6m+2zObTd7vUt0ocOTbdZHuyWF6vnb/d9s/u+hKS3i9X9iDUW9kq6HUOHDg0K31ixYoXlOZxzLF26FNOmTcPEiRPbTJeVlYVXXnkFOTk5eOeddzB27FjcfPPN2LFjR0eaYIsu7dlpaGhAUVGR8X9xcTEKCgqQkZGBYcOGYdmyZSgrK8Prr78edN6qVatwww03hL3ZTz31FG688UZcfvnlqKurw0svvYSCggKsXLnStn6BXwSS9qNQgomDe2SnYZejUGDCQDkaywkKJZg4RE5m6RSFUkwcHf0o1t5IYC9RZ+ML9nV8PgBwjtLS0iA3Vnt6dR577DEcPHgQu3btiphu7NixGDt2rPH/lClTUFpaiueee65N11dn06W/5nv37sWkSZMwadIkAMDSpUsxadIkPPHEEwBEEPLp06eDzqmtrUVOTk6bvTo1NTX4r//6L4wbNw633norysrKsGPHDlx//fW29fP5dyX20BlHwWnPpT0pYyehM+BAeRxk0bOPzjgKTrXIcucQXWcoOHZW1nsOiOU9I5R4XXnONuJ1uaampgZtVo2d7373u9iwYQO2bduGIUOG2Nb7xhtvjBhO0tl06ef3rFmzECk+evXq1SH70tLS0NTU1OY5L7zwAl544YWOUC/6lYl7MQkuee+ckqDKH2unyHIXBQRIiFd77xS70XAJ3zPOOb773e9i/fr12L59O0aOHOkon/3793dpOIn0NUQgMOgw9nTwD15IozLK/CPkp1DgikHeKOJ2xw+Y0pnPC5ly3iq91XVN+dm9P3anwG/nfVAAjO3nnbPDziWsGubE1Ikboo/pfGK+PxbnW34YmM43JzfdTwvtwtjDoBDgiiwV4eNGQi4Y+biVfSHHQxS0md5cfs3Z2a2LzIXHetI7hVJcMSLT5nU6CNvlqXsRy5CHDnFj2eDRRx/FG2+8gffeew8pKSmoqKgAIDoeEhPFJJ7mkJMXX3wRI0aMwIQJE9Da2oo1a9YgJycHOTk5jvWOFhmUEgFNduc6QmMc+SWad0I5iR00Buw9K+bwkdhDYxz5xS2y3DlE0xnyj5TKes8BsZxUkHhdUdFsdvjzn/+M2tpazJo1C1lZWca2bt06I4055KS1tRU//OEPceWVV2L69OnYtWsX3n//fdx5550ddh/sInt2IhBN67k3QwBkJJNLuWe30yAA0hN1ee8cIModlffOIYQAGalJPa1TpVsQy9+KWPfstGcqPnPIyY9//GP8+Mc/tnmlzkU2diLQtW6snotCCUYNiN1aMZcSCgVGpcvRWE5QKMGoTFdXq9FjUSjFqKH9ulqNHokcudv9kY2dCMS0O7fD58aIVnermBlzcv9xTefIL9ExeQQ1Jn4L+TqwG/NiO0bHSl+LGB1Le62el7PnKdxYSbguuyloUkBLrGJwuKmb3W6MjdmekBgWc3qLGCtzDIlFDE/o9cz5E2+582DyCBfUkJrNfIHQ84P/NccsWRw322MZg2I3psYyisnidKuYIZ8b6wwmTxgCV+gNtMivd38YxtyNFdWkgh2oTA9CNnYiQHv5C+wUSoDsvv7ZjyXthxIgK8Uj750DRLmj8t45hBKC7AEpst5zQCzvWazdWJcKsrETASprTUdQSjC8n+zWdQIlwPA06cZygih3skpzCqUEw7PSu1qNHgmVbqxuj6wZItC5bqzOHlpuld5q6LVV/m2n13SOvJMaplymBKydZXfouF03UgcPJe/ooejtfD4aA/aUpeDGwfX23FgdPfTcfD9DzjefbjFUPQRzt39kt5bZDRpqrli4Nu+EB1NGuYLWaRInWA3ttjhu6cazcutEOdQ9RJ2OdyNpOkPegdOYctWwoHXHwmffEz4EY6ejdGN1f2RjJwKyO9cZlAKjBohVtiX2oAS4LN0tXTEOoBQYlanIcucQSghGDc2Q9Z4DpBur+yMbOxGQbixnUEKQ3Vf+4jiBEiC7j3RjOUGUOzkK0CmUEmQPSLVOKAlBurG6P/IJRUBOruUMTefYVqhB03tpf2kUaAzYdjpVTiroAFHuWmW5c4imM2zLPyHrPQdoWuzcWNGsi+XbeiOyZycCHVooOnpoue38oozpsZE/pRzjsykI4W2rGe1yEHZjdDo6JqeThp5TAkzo1wRq17He2UPPLWNELIaqWw6ttojhMR3npuMEOijhmJBFQImOUPutYpDMx83XtxqKbkpuO0bH5vkhRDk0HaK+mzBqYO/5MexA11Mse3akG8sZsrETAem7dgYlBJkpXa1Fz4QSIDNZurGcQAlBZqp8Z51CCUFmRp+uVqNH0msaiD0Y6caKgCZ9CY7QdI4tR3XpTnCAxoAtxX2lG8sBms6x+QvpPnWKpunYnHc8pi6ZSwVPDO8ZIVGujdVLP+Jlz04EqNI7C0W0UApcO0yOxnICJcC1gxrkaCwHUApcN1yOxnIKVSiuGz8Y1DxsX2JJj1r1vJfWLbKxE4Hu5cay+anf4TE97Z8HhxKCjCRm0sNu/naXh4gyRifamBzb8xSFhwLIiG8V2UfTQWFZds3Ho5xnxzK9VUyORX4hndDBxznEAqDpSb4dFstBWC4XYTfmppOXj4h6Hp7IyQHve5uWZJ1QEkIs3VhOVi4POr8DdelJyCZ8BDzSl+AIj86x8QiHR7oTbONhBBuLM+BhvbVKco5H59h4WJflziEeTccHu47F1CVzqeDRtK5WQWKB7NmJgHkWUUn7UCkwbRTszQAsAQCohGPa4FqovXWa0yhQKTBtNJXlziGqQjFt0ojQ2acllqhK7OZ3km4sZ8jGTgR6ayBXtBBCkJIg750TCAFS4uSXtRNEuetqLXouhBCkJsd3tRo9klj+Vkg3ljNkEz4Cl7Qbi/Pgze7xkOTc2Fo1hn8dMrmxzPlxZtrMx83XZ6bNrIBFfjBtHZ3evDEWvFml924eHfjXyf7w6OHumY3N6vohxy02pgdv3LxZpA+5n+bzrcqH9ebRdPzroO51w4R5hkHXj7Z8WLwvlu+P+ZoW+dk9PwSL9wfCjbUh96h0YzlAurG6P7JnJwLSjeUMlQK3XCHdWE5QCcctQy9IN5YDZLmLDlWhmHPjaOnGcoB0Y3V/ZGNH0inIHxznqFQ2dJwiy110yIZO94fQ6EZ/kaiGefZcZMmOQJdOTmbTjWTbzRO9gmirG11jwKYv4J0Yr61udqtueJM9lm6HjnZbRekmCjG3fe4njQGbTvUX9y4aN1a0bi+7bq6Q8mW6n9G6tayeJ3hQuQt0q/JwbrFoy4elW8h83KK8237fOx5NZ9j4yb97ztpYhARvHX8B09Y2mi5df90d2bMTAenGcoZKgdvHy69sJ6iE4/Zh56UbywGy3EWHqlDM/Y8xsnfHAT3LjdU7f9dkY0fSKWhM/ug4RWMEqiIbO06Q5S46NJ3Jxk43J/rRWL2zsSNLdQTkGjvO0BjwUSHk+k4O0DjBR2f6QzOvqi2xRJa76NB0hi17inqOG6sbId1Y3R/ZsxMBV2/6RLSK47Fx3EWB+RO9DUUeelz8z+39b7lchcVxq/yYVXoLLPW3SO/FBWD+sAqvTvZUCMLcVW2+nvm4VXpLLO4fNXXzMz3ycfPyEuZ7YV6LiHNvufP9bzohxD5zhhbLRVguP2Fxf81YPY/QEyJf325+YdK7VAVfnTnOQg9JOFxq7H5KpRvLGb3o19w+vIsCBXs6nHPUu7sszrJHwzlQ36rKe+cAziHLXRRwzlHX2CLrPQfE8p4RGv3WG+mlZrcP6cZyhsaAXSelO8EJGifYdS5DurEcIMtddGg6w679JdKN5YBYurF8PTvRbL0R6caKQK9yY3UgLoVg7njZUHSCi3LMHVrZ1Wr0SFwKMHd8V2vRc3GpCuZNG9vVavRIYunGkjhDPqEIsO7cnRu1blbnRz4e2m3r/59xoKYJ6JsI+AcNWF3PZsxQSIxMJ8fo2I4xCsmgXfkzDtS0utA3zgNbAy7sxtyYe46sYnhCzreIETHH1FjF6FgdD4kJMuvHxL1r9pY707QR3JQ/CcnfZoxOyNQAVvrZjdExX7/zhzYzzlFT14y+qYmgsf767+G9DYzF0I1FohyN1Ut7jWXXRQSYdGM5gjFg3+nQ9oTEGsYJ9l3IAOulFVI0MAbsK6Wy3DmE6Qx7vygDk24s2+gxLHSUkKi33ojs2YmAKt1YjlAVYM4VXa1Fz0SlHHOyz3W1Gj0SVQHmjJU/1E5RVQW3Trm8q9XokbjU2E0qKHGGbOxEoFu7sSzpaN3bnx/jQFU9Q/9ktO2KsT3UPMrjne62sjv0PPxuxoGqlnj0j3PbdGPZPW41lDlKN5f5fpvThwwlNw89t99oYRyoaiTon8xDu6xN+ZvdsMSsUIcPWbE5dN3qgVoONbeZHzgY56iqbkT/9GRQIn+87RBTN1a0kwr20l5j2XURgVgW4EsJxoAjFdKd4ATGCY7UpEo3lgMYB46cUyBfW2cwxnHkRKWs9xzAYljZydFYzujSxs6OHTswf/58ZGdngxCCd999N2L67du3h31whYWFQelycnIwfvx4xMfHY/z48Vi/fr0j/eS06c5QFWD2aAbZs2sflXLMHnRernzuAJUCs0dpcrkIh6gKxezJl8l6zwGqrOy6PV1aqhsbG3HVVVfh5ZdftnXesWPHUF5ebmyXX+73M+fl5WHBggVYuHAhDhw4gIULF+KeaRdr0gAAIABJREFUe+7Bp59+als/+YXjDMaBs7WQX9gOYBw425Qg750DGAfO1hF57xzCGMfZ83Wy3nNATHt2vG6saLbeSJfG7MydOxdz5861fV5mZib69u0b9tiLL76IOXPmYNmyZQCAZcuWITc3Fy+++CLWrl1r6zoM8PvCe3T8TjuwvTxC2y8348DJCxSZKcwfdxKSv93lKewuFxHl8g0hlZdV/pGzb68+jBGcrE9GZlwzqJ3eHSv7rLquzYdDhlZbxPSYh5pbwiL+a/0ZFhqjwhhw8oKCzGQt9N5ZlT/L5TU6efkIM1YxYZ3gimCc40TpRWRm9JHxDe0hIK4rlm5nuVyEM3pkmZ40aRKysrJw8803Y9u2bUHH8vLycOuttwbtu+2227B7927b11FtV+ASQLgTpl3GpDvBASrlmDZAurGcoFJg2gjpxnKKqlBMv2aEdGM5QLqxuj89qlRnZWXhlVdeQU5ODt555x2MHTsWN998M3bs2GGkqaiowMCBA4POGzhwICoqKtrMt6WlBXV1dUEbAHg0MRGZzpgxj4KuM+jebl7NJLO2ZB4qezRmjAjxyZzzEBlAkMw4N6ZzF7J3MjoWXtZNsk/ftmQtUNZ5gB08wI7wskcXH6TiC5tA9/7v2++ThU1+mXFAC5RZZFlnwbLeluxtL2gmmYWVSVjZw4jxke2TOQ+VDZu8stC3/bLO/dctbkiCx2cH9+seKGuMBMlWdnS+TWGek0numOcUIOt+2aOLvE5VU7RoweUtfNnzviuB71Bbsvl9sniHgt4nva33qZPriHD1BQsv64wZ+hSXVcPjaaveY4aOgTILkr12aLohe0yy3yY9wI5g2W+TbugbKGuGzIylGgJl3STreoAdejib9CCZhZPbtEmDHsvlIqQbyxE9qrEzduxYfPOb38Q111yDKVOm4E9/+hO+/OUv47nnngtKZ+6m45xH7LpbsWIF0tLSjG3o0KEAgCMlFwAAR0su4mhJNQDg0MkLOF5aAwDYf7wKJeWiYZRfeB6llQ0AgLwj51BxsRkAsPPgOVTVuAEAWwvOoaahFQCw5fNzqG/WAAAb8yvgbmXQdI6Ne89B0zncrQwb950HANQ369iy/yIAoKZBw9YDQpeqOg92flELAKio8SDvWD0AoPRCK/JPNAEASipbsb9EyMcrWnHodIuw6Wwrjp4VuhwqbcXxc0KX/ac8KKkSL25+iQel1eJFzzupo6JWvNw7j+uoEqZi27/FbMkA8FEh0NAiHARHKiiaNPHjtKlQgcYAtwZsOuYCADS0EnxUFC9saibYVpwgbGqk2Fki9lc0KNhTmihsqnNh79kkYVNtHArOCbmoOgGHz4s0hReSUHhB7D9clYyiarG/oLIPSuqEvLcyDaUN4lp7KvqioilO2FSejiq3kLeVZaCmVej5UdkANHiEt3fTmUFw6xQaJ9hUlgWNE7h1ik1lWcImTcVH5aKhXdPqwrZzmcKmlnjsPD9A2OROwJ6q/sKmpiTsre4nbGrsg4KadDBOcLIxFYdr04VNdWkorEsTNtWmo6g+VdhUk46Sxj7Cpup+KG0Sdu+50B8VbmHrzqpMVLWIe7nt3EDUtAr7PqoYhAbNa1N5NtzMa9PZNmw6G2BTubCjyh2HnecyhE3N8dhzTuhb2pCAvZVC35K6RBScT/U+pyQcviD0LaxORuHFMM/pXDJKaoS+e88mobROPIM9Z5JQ0SC+nHeeSkRVk5C3FSegxi2qsI+KXKhrISivp9h8PA5uo+yp/rJ3VNQBDS2irAKi7G77t5Cr6jl2Hhdlv6KWIe+EeD9Kq3XknxTvTcl5DftLhBz0PpW5cbRMvOeHTjfjeLl4//cXN6CkUuzPP16L0ioh5x2tRkW1OHfn4YuoqhXy1oJK1DR4AABbPq/w1xGfnYG7VRd1xGdnvHWEjo2fngYA1Dd5sCX/lLCpvgVb94n9VTXN2FlwRth0oQF5B8uETedqkf+FkEvO1mB/YblwY525iEMnxDxPR09W4uhJsXTJwePlOH6qSthUWIbiMlEffXb4NEorRH24u+AkyqtEfbhjXxGqqkUlsfWzf6OmXlQSmz85gvpGcQ8+2HEQ7hYPNJ3hg9wD0HQGd4sHH+QeEDY1urF51yGvTY3YuueIsKm6Djv2igdYfr4Guz8XD7C0/AI+O3ACAFBcWon9R4rFcyoux8Fj4t4cPXEGR0+I+3Gw8BSOF58VNh0+ieJSYfdnB46j9Kywdfe+QpSfF/Xtjs+OoOqiqG+37j6Amjph3+bcz1HX4K0EY4AcjeUMwrvJEreEEKxfvx533HGHrfOWL1+ONWvW4OjRowCAYcOG4fHHH8fjjz9upHnhhRfw4osv4tSpU2HzaGlpQUtLi/F/XV0dhg4digsnPkF631TR4uccCqXiq4AQKER8GRFCoFACTdfF7JSUQNMZKOCXKQH1phcygcejQVVEwfNofpePpnOoCgG4aPy4VArOOTRdh0ulYFx8HaoEXhlQFQLGdDDukzkYY1AVAp1xcA6oxN8LpVBifMUImQNMF3YwDgJAIeL6lATaIWbv1HQOAt2QKQUoODy6cCUQIr58DJsYoBJuyC5FTN/vk8XlxegtxsWmQvfL1GurV9aZOF+l3p4ALvT19RYoFNB1DhBAIeKaBNyQKRH6GjIBNI2DEmGvxggoEfFGHkagEg4CbsjCjgCZE7gIA+demYpnxDiBSnmAHT6ZhMg64+AQeYpOBFHGfD0dCgF0TgCfHZwE2ERMuoeROTVkw6YAGSDQeIBNoHBR7rfJeDZe3WGyA0qwTYp4Ntz3zAgVz8n7/EBIgAwoChXPyXhmxP9sGEAVxS8TgCoqNB3eMgl4GPWXPR1QFcVf9igAQv1ljwMaFL9NTLghAt8nTpSAd4uDgfrfJwCqoga/T97vRuN9ItRbL4j7rChq8PvEaPC7pSje98lbR1BF1Au+OkInol7w1RFet4lRRwTIwg4CNbC+UBRvmeRQFQrGqSHrjImy55XBhb7+OoKKXgwiZH+9J2TxPBSv7K0DNQZKKSgl8Gg6FEU1ZFWhIIQasnhO3C/rDC5V8dZ7QmZM9NAI2Vu/uVQwxrx2KEGyzsT76JPBAUVVjF4dRfHV5T6b9ACbfHW5EiBTaJrehk0amhqb0DfrctTW1iI1NTXs70y01NXVIS0tDXuvGo4+UbgaG3SG6w6c6lRduyM9flLB/fv3Iysry/h/ypQp2LJlS1BjZ/PmzZg6dWqbecTHxyM+Pj70gLcFrFBqBAwqvkLGeZBvO0T2pvfvD04fuMioS/Wnd6m+VjcxZEKIkZ4SItb9Yd6KxesqppQY3XS+BpXQ3ZsfC5ARThb/q7793oaT36ZgmXtdGMZ+zuHy6qIz4HQ1wYgMDoWKHxhffKUvDSF+WVSWATIR+hoyguXA91zxqc5N+wNklfqvr/ofR1BsR2CMTKDs8sk8QIZJJhzgXpu8jQWhb/tlcRtF46akMQUjkusD9vtsDdCRhNe3PXJEO0yy3yZi0ybifzZAsExNsqFjBJmE2R8QJuFSRLkruahgRLpuxO/6yhiIqex58wkueyS8HO59spKJ6f2IKNOA9BHqCEP25x9cRxC/7ub6wmcHQmWFiuvrjKGkrAYjBvf17/fZFFLXheobJAc8HJeqBOhr2h/WPiXAJsWvLw0n04B6zy8L3QPsC2NHsE2KtdymTWoPn4C2d9CljZ2GhgYUFRUZ/xcXF6OgoAAZGRkYNmwYli1bhrKyMrz++usAxEirESNGYMKECWhtbcWaNWuQk5ODnJwcI4/vf//7mDFjBp555hl87Wtfw3vvvYePPvoIu3btsq1fN+n06nFwANXNBMM7fBbnSx8OgmpPPIajAR0/C/aljSh3FMPTYxc/cSnBOXCxrhnDs8OPdJW0TSx/K+QMys7o0sbO3r17MXv2bOP/pUuXAgAWLVqE1atXo7y8HKdPnzaOt7a24oc//CHKysqQmJiICRMm4P3338e8efOMNFOnTsWbb76Jn//85/jFL36BUaNGYd26dbjhhhts6ydHYzlDpcB1Q+X0yU5QCcd16VVdrUaPRKXAdUM8Xa1Gj0VVKCZPGNzVavRIAnuAOh3i79lzfH4vpNvE7HQnfL7RCyd3Iz0tRey0XAvJau0l83GL9CHzeJjnJbE4bj6fmb92eeTjPPh/HqKvOb0/P50BRec5RvdnfjdFyNpUka8Xen+s7LO6n2Z7bc6jY55oze7aWFZvmTe9zoGixjSMTq4NcmFFje15dkJ2/P/snXl0FceV/79V3U8SmzZAiEXsO9iAsRPwGtsYGzteEv8mmSQTZzyJM87mJD6ZX8ZzMpnk2Ikzv8SxjTNZ5gw2k83BOQ6OPTGMIew22AgEGFtgCQQIIQFCaEXL66r6/dFv62qpS93v6ek9VJ9zWrrdXV1d1a+7uvreW7e898tfmq65tKQPB/lDwpWfvF9el14u1LDvuwshzBwdhmFI33Gu/KTjpfwJlY7v5Xye5VMdrzi/sr6q6+ua20tO786PcY6qUxcwa/JoGFL9iDI/1f3i93iZXvb7PSbIOTyTx+t0sbkFxRNmp8VnZ99V05L22Vm6v0b77GgS0P3AwHTpD+yAEHQxAzFHJI0vuqyh+dWaEgTQ1W3p2y4I6TRjkSTNWHxoPiO6s+OBoc1YgTAosGiiNmMFwSACiwqaBrsYWYlBgUXjewa7GFmLYVAsnjNenVDjwkinGYsSkGTeTUM0YKnu7HjAPKZEyHpSXbeE/BgHjpwlmFuSYMZSTQ+hzF9lJvK5nmqzlTK9fHjv+TFBcKS9CHNHXnSMvkoalVOiyywi75fLIiXgshlHPoFqegjpANnM6LKCSBuEHXrgSGMO5o7pgWHIZlG5QorpIlzqDYWZ2VUexfHE53QTrguW+pcr4xyVx89j3vSxLjNW+gmifRg8jUV0SLsmc9GdHY1Go9FosgQ9N1YwdGfHA8PlVKfpDwYFFpTqL50gGERgwShtxgqCQYEFJdqMFRSDUiycOU6dUOPCSMJh2DeJQceCHj8E0W9zD5hrxI6mPzAOHDxjQGt2/cMEwcHWMZFoyRo/MA4cbMjV911AGOM4cLRem2QCkM65sTTB0JodL3yp+1Q2d5/p5XNnmU9Znqkcay2tqobeJ+kToxyK7rM8LpeMZIemxyM155GwHQpgIPs7qqHCcmdL5dNDZZ8ceSi0Kr28X+EDI4dKiETJzjN45LeSj5fSu54vIa0614nLx0dRvlT6WwXBVZ5+3EwEyMs1B9P1JXtJo2mIUJqUgzLRDsoaGWOI2jaTxaDAnBL9dRgEgwBzRlwc7GJkJQYF5ozpVifU9IpBKeZOHTvYxchK0jlyV/vsBEObsTywtBkrEBYHymvtmc41/rAEQXnrOFjajOUbiwPlZ4bp+y4gFuPY+14dLG3G8o2VRjNWdLqIZJahiO7seDBUe8DJQgAUDRdaGx4AAoGiUBdIttktMwACoGgY0/ddQAgBivOHDdXZBJJCvysyH93Z8cAejZUwXbMfovOXJDuPSdoQ0hIcgwIzRnN4DlAQ3LnI5xcpXlz5y5vkY6Tyyek5dy6u9NIip+fCuUTOa0BgRl4zDNU1cJ3f5/WQz5/y+gSrf//r614MwjGjsAsG4bZPT+KivCaK+qruT+Xzw52L8n71ie/jpfLANsXMKCvWwVT7glDnkkBar1l0NFYyiw+efPJJXHPNNRg1ahRKSkpw33334ejRo8rjtm/fjqVLlyIvLw/Tp0/HL3/5y6A1Tgn6rvZAm7GCYXFgz0ltxgqCJQj2tE7QZqwAWBzYUzdC33cBsRjH7kO12owVAMtKoxmL0KQXP2zfvh1f+cpXsGfPHmzatAmWZWHlypXo6Ojo85iamhrceeeduOGGG1BRUYF/+Zd/wSOPPIKXX3452eoHRjsoe0CzQiOTeVAA4/P5UA3nkBQUAuNz2kG1Gcs3lADjR4b1fRcQSggmjB2l270A0Mv4ptu4caNj/YUXXkBJSQn27duHG2+8sddjfvnLX2Ly5Ml45plnAADz5s1DeXk5fvKTn+D+++8f8DL3hu7seKAf+mBQCkwp0i/rIFACTMlrHexiZCWUAFMKdFDBoFBKMGV84WAXIyuh6RyNlaSTcfTY1lZnO5Obm4vc3Fzl8S0tLQCA4uLiPtPs3r0bK1eudGy7/fbbsWbNGoTDYYRCIb/FThptxvLAYcbKNB+cAS+P7KMg+zH07bNgcYFdNQYslkKfBGVxFT4UKh8RlU+P7DOi8uFQ+qT07tNiMYFdzRPta+fyc/FYGHMuqvRKn5okj2fSokqv3K/2ubEYx65TIyNmmN78aBJ/L+ZcFOmFcC7q50P1vPi8n1Pt49MLFuPYuf9EZpqx5PYuE9rgBNJqxkrRaKyysjIUFBTElieffFJ5biEEHn30UVx//fVYuHBhn+kaGhowbpwzGve4ceNgWRYaGxuTuwAB0ZodD7RmJxiUANOLmTYnBIBCYHreRW3GCgAlwPSiTn3fBYQSghllxbrdC0A2mrFqa2uRn58fW++PVuerX/0qDh06hF27dinTyiPUooE6B2vkmu7seKAf+mBQAkzI1y/rIFACTMhpH+xiZCWUABNGhge7GFkLpQQTxuarE2pcpNOMBbhHg/nDbpvz8/MdnR0VX/va1/Dqq69ix44dmDRpkmfa0tJSNDQ0OLadO3cOpmli9OjR/oucAnRnxwPv0Vh+p4eQb05/4euzCYsBO4+buGGaBbO/z2Sy00O48lMcL59PNV2EXB753nAll/erymP/swTBzvYpuGHkSZiOKQeSrL9yehI5uWq6CHk6CHn6Bmm/PH2Ea7oI4r1fHp3Wy/W0OLDzdAFumNQCk8j5y+VT5ydlIO2X1pXTR8Df/kEgasa64aqpMA1jsIuTPMqP1dRd9MEwYyVzvB+EEPja176G9evXY9u2bZg2bZrymOXLl+O1115zbHvjjTdw9dVXD4q/DqB9djzJRtVkJkApsGCcNmMFgUJgQd45bcYKACXAgjGX9H0XEEoJFswo0e1eANKr2UkvX/nKV/Db3/4Wv//97zFq1Cg0NDSgoaEBnZ2dsTSPPfYYHnjggdj6ww8/jJMnT+LRRx9FZWUlnn/+eaxZswbf+ta3BqMKAHRnxxOaCZ9bWQglQMlIoV86AaAEKAnpF3YQKAFKhuuh50GhhKCkeKQ23wcgnR3EdE8X8Ytf/AItLS34yEc+gvHjx8eWdevWxdLU19fj1KlTsfVp06bh9ddfx7Zt27B48WI8/vjjWL169aANOwe0GcuTjByVkAVYDNhaHcLN08MwLwNteDqxBMHWtmm4eVSNZMbSqLA4sPVUIW6e3Nx/86kmhmUxbNlbg1uumQbT1K8GP4TTGlQwvROBin64EKxdu9a17aabbsL+/ft9nWsg0Xe0B9TwcVMMuM+Nwucng6AUWDrRktw2BtoHR5Gf3+NdPj1J+ujIPkF9XA8qgKXD6kAF63V/ynA1ePL9K++WNrg6E9Lx8vWS08s+PC4fG9V++fyRa1fSCiq428fH5dDp8/d3XS/F8a6mQ/X7yRVKv3aFGhRXz58I6jnPi6Y30j9dRBLnk/3hhgi6s+OBNmMFgxKgeLjWSgSBEqDY7FQn1LigBCjOswa7GFkLJQTFBcMGuxhZifZzynx0F96DsDZjBSLMgA1HQwhnrvIpYwkLig2tsxEW+tH0S5gTbDgxGmF5ZJemX4Qthtd3fZBWk8zlQthKXyc73T47lwtas+OB6ceMpYlhUuD6qT6GnWtimOC4fsQJmL3ZaTSemETg+gnN2tcpIKZBcf2SKTC1Gcs36Ryqn26fncsF3dnxgBAat9W72k9Vg6qKa6Ly8fEbx0dVHDk/OS5I6l6uhACjcn1+HSbrg+PyoXAd4L2/n3Fw4us+fXqUcXoi0UUBjCJd8ZkI+sxPUR5l0DGfcXZkHwFZ6yl/Lbri7Kh8eBRxdlz73ReEEGBUTuS+U/nguK6XKq6Ps8Cy0yZxdbD8+uj4/L18o2pf7Jdg/gh1FN3MYYBf2j4C9w3VDkQ2obvwHoSZVucGIcyA1yrztBkrAGFB8Vr7Am3GCkCYE7xWM1absQISthhe3X5Em7ECkF4zFk16GYpozY4H5hC9KZLFpMCKmV3ajBUAExwrhh/VZqwAmERgRdmFiBlLd3j8YhoUty2boc1YAUirGSvNEZQvF/RdrRkQdEcnOK6pDjT9xuzFvKXpP7qjo7lc0ZodDzznxvIbV8eVPliZ+kYRR0RJCueJ4cDGD/Jwx+wuhPr84EnxBfAdR6d/cW/6vT/ZuDuR9Jag2Ng5D3fkHUbIq9OjjLuj6DD5nftKjvvj8slRPA/yl6/r2VL4lMn1kZNzAosTbKwdizvKzrmvnev5U/jwqHzakl33O5eWC78+P2osxrHhzSqsum4WQsl+rbj8XRT3W5ZjpdPlgZDkrt9ldu37i+7seKDNWMEwKXDHbG3GCoIJjjuGvQczhQ7jQwWTCNxRdk6bsQJiGhSrrpultTsB0GaszEff1ZoBwdLv6sBY2jk5MJZ2Tk4KPUWO5nJFa3Y8sF/Y0RePSk2Z7FBxn8cP+PQUwV8aFgc2V6vMWAp8T/+Q7H7Fumx26cMM1Wd6+fy89+kgLEGxuXse7ggddJpiUv77SqiGmsvrcnFUQ89lNb/LrKV4vnoxWzn3c1icYHPdWNwxqQEh2Xcn2aHoqf4uVJmtfJu1VEPf1c+zxTg27TmWGjOWb9LRSR24c6TTjEVIciOqiI8h9ZcTurPjQSiNqsnLiZAB3D2va7CLkZWECMfdeQd78WnRqAhRgbsn1w92MbKWkGngnpvmDnYxspJQGidO1UEFgzE0u3j9pD+zvWrcCAG0dZMBV0ZcjggBtPFcfe0CIATQ1mPqaxcQIQRaO7p1uxeAtF4zSpJfhiCD2tnZsWMH7r77bkyYMAGEELzyyiue6f/0pz/htttuw9ixY5Gfn4/ly5fjf//3fx1p1q5dG+v5Ji5dXf41DZ6jsTR9YnFg14kc7bcTAAsUu3pmwdLfIb6xBMGus6NhydGPNf3CYhy7Kk5qv50ApHU0liYQg2rG6ujowKJFi/Dggw/i/vvvV6bfsWMHbrvtNvzwhz9EYWEhXnjhBdx99914++23sWTJkli6/Px8HD161HFsXl6e7/I5zFhJDzV3OTlI69LD4lI1DvTQ9dQRMoBVc7p9HpXk9BB+83NN35DkUHW/Pjpy4xjJPwSGVaGD/fAJSvIGUH3dqYaKy/td0ysohp6rfHhc9XX76Mj7QxBYNbGh9/LI5Vc9n35/f2VoAr8+OOknZBq48/rZAY9OcYWCmFqSNc/49mWJny9khpI7tx+SjYI8REcZD2pnZ9WqVVi1alW/0z/zzDOO9R/+8If485//jNdee83R2SGEoLS0NOnyca3ODQQXQPMlgsJhYqhqTAPDBdAsRqBQtOtr5xMugOaeEApzwlovFgAuBJpbu1CYnwc6RP06gsKT/fjwgfbZCUZWtwmcc7S1taG4uNixvb29HVOmTMGkSZPw0Y9+FBUVFQHz152dIHAO7KvL0T62AeCg2MemgWf3ozkocEGwr6kYXJuxAsEZR/n7deDajOUbphu7jCerW9SnnnoKHR0d+MQnPhHbNnfuXKxduxavvvoqXnzxReTl5eG6665DVVVVn/l0d3ejtbXVsQBxrSjjPHYzMxaXLcbBIh0ii/FY58glR4cVW3E5bPGYU1tUFkK4ZAAOmQsRs6nbsp0H573LTJKj5e1LthJlJuL14CJeDyZiVhSLxS0qYWZr600D+Mj0bhjUXo9uj8p2neIyF/G4PP2RmSSzRFlEZRKTLe6UY2UXajksaMwCEZWFcMuxOkVkLuLxctwyicgktp0JAksQmITjFvM9kIhZxK4HcckWKBjiMu9ThksOY6DrFC+v1UvZ+6xT4m/W12/De5fDnMAgAreNP2tPGB+tBycOOVYnH/eb497jTjl27/l9nmQ59mylqI3orb3gvcuMc1iMwzQN3Prh6bEvf+92Ly5zhxxt61hMDktyvE4soR5OOV4nFitvomzFZB7zl0mUmSQzllAP1ludWFy2WLxOLrm3OllpDcQYDSqYzDIUydrOzosvvojvfe97WLduHUpKSmLbly1bhr/7u7/DokWLcMMNN+Cll17C7Nmz8dxzz/WZ15NPPomCgoLYUlZWBgA4fPwcAKCyphGVNRcAAO8eO4+qUxcBEFR8cA4nzrQAINhbeRa159sBQrD7cD0ami4BAHYePIPG5k4ABFsqzqC5rQcAwaZ9dWjrDAMANrxzGl1hDosDG/bWw+JAVw/Hhr22/0Fbp4VNFecBAM3tYWw52AgAaGwJY+d7FwEADS1h7D7aChCC2gs92HusAyAEJ873oOLEJYBQVDWE8W5tN0AoKs/0oPJMj12n2h5UnbVn7a04GcaJRruR2HuCofai/UDvqQEaWilAKHYeAxrb7Wu3tQpo7rTlzR8YaO+2Xw4bP8jDpXB86giLA10Wwcaq4QCA9h6KzTWj7Dp1Gdh6stCu06UQdp7OB4RAQ0cIe+oLACFQ256H8nMFAIATrcNw4IKdvrplJA5ftNMcac7HkWb72MPNhahus+UDzcU40TESEALlzWNQe2kEIAT2XCxFQ/dwQAjsbJmIxvAwAAJbmyej2coFhMDmi1PRzkKAENjYMgtd3IAlCDa2zrbrxCg2ts4GBNDOc7G5w5abrVxsvTQD4AyN1jDs7J4BMIYGaxT2dE8HGEetVYjy8FSAcZxgo3HAmgJuMRy0yvAunwQwhiN8Ao7wCQDjOMwno5qXAozjgJiGE3wswBjKxUzUsiLAsrBHzEEDywcsCzvFfDSykYBlYau4As1sGMAYNovFaLdCQNjCRrEUXRa1p1oQS2Fxgi5uYqO1GAhbaLdC2GxdAViWXafwPMCy0Bgehp1dMwDLQkN4JPZ0TQM4R224AOXdUwCIPThZAAAgAElEQVTOcaKnCAe6JgKco7qzCIcvldh16hyNI51j7N/pUgmqu4oBznGgrQQnOvMBzlHeMg61nSMBLrCneTwauvIAwbGzqRSN3bkAF9h6rhTN3SGAC2yuH4fWHgPnOnOw8cx4dFl2R2NjbQksLuzf6eQY+94LG9hcUwgIEbn3CgAINF6i2HlqOACBhjaKPadyAAjUtlCU1xqAEDjRRHCgzparzwkcPmP3pCrrOSrr7U7Iu6d55HkSkefJlvce70JtUxiAwO4P2tHQbMs7K9vQ2NIDCIEth5rR3G63C5sqGtHWaT+LG/Y2oKubwbLsdsFiAl09DBveORNpI8LYVH7afp7aerBlvy03Nndi50E7TcOFDux+15Zrz7Zi7/v2MP0TZ1pQcaQeXAgcOFqPQ9VnARBUHj+PyuPnARAcqqpH1Um73ak4UoeauiYAwDuHT6G2oRkA8NaB46hvbAEA7NhXhcaLbQCALW8fQXOb3R6+8eZhtHXYg0Ve334QXd1hWIzj9e0HYDGOru4wXt9+wK5TRxfe2HnQrlNrB7bsPmzX6WIrduytBADUn2/GW/tt/8zaM41456D9UVtTexYVh48DAKpqzuDQkZMAgMrqWlRW1wIADh05gaoa+3pUHD6OmlN2e/vOwaOoPWO3t2/tex/15+w2dsfb76Kxya7fljcPoLnVbgTf2L4Pre12/dJCdLqIZJYhCBEZMs6QEIL169fjvvvuU6Zdt24dHnzwQfzxj3/EXXfdpUz/0EMP4fTp09iwYUOv+7u7u9HdHXeobW1tRVlZGc5W7cbY0YWRHj+HQan9VUAAgxBYjIMQAoMSWIyBEgJK7e0UIi5TAgpbs0MNAkoIwmELpmHbXsMWh2nEv/JMgwCCw2ICIZNCCPtLJmRScGF/EZpURGTANAg44+AiInMBzhlMg4BxYWtbaPwL06AEzArHZS4Azux6cAECwCD2+SkBKCUIMxYZtUjs7bDXLWb7u1EwhJk9VQTjwI5jFDdM64FJ7Q5PdHJLi9sOzIJZMdk+vQWTRmQBmILFZWp/zUVlJgDBWEyGAAzBY1oBgyDy9SZgEFszQDiPyRQCVLC4TBCpU0QWBJTb9QsLChMcRPCYHK1HTAZFSDAIEZEJB2cMHBQm4ZH6ibgMCpNb4IKAw9bmMC4gIhqZHWI+rsP7yAWLaW8MweMyBCwOEAhbBgUV9j1ngdr1iMm2QcwiRkwOw4AZyS0qg1JYUTmSPgQOEa0fFfGyEw5ODWf9jFBEjtTJsLU2AvY0DowYkd9G2Jocw4jLAAzD1gKRSBqLmM7fwyC2zAkoEaCGEZcJECYmIIBdjWOxbHQj8nLse8HWlgnAMGEJghC1nweLGPE6CcAMhZz3GzHjsgA4zNi9LWCnj2p1DAowGI7niVDT+TyZIcfzZAkjLjMBapjxZ4sC1AhF2oVIG8HsZzvWRoTMmBwy7V88KtvtAoGZ2F6YZuQZEjANav9OEZlxDhEp/459Nbhu8RTk5uTENB0GpbYWg9hyvN2zZUoAapgRmcTrRKnddlgMBjVismnYDrZROd7uRWWOUMi02z3GETINcC7AeFzmnEfqxCP1MOy6RmTG7Y5nVIYADMOIaXUMI6EtpxQWYyDUsGWL2W12r3JvdbLQ2tKGMWVz0NLSgvz8/F7fM8nS2tqKgoICnPzcCuTnBHe3be2xMOW/Nw9oWTORrAsq+OKLL+If/uEf8OKLL/aroyOEwIEDB3DFFVf0mSY3Nxe5ubnu7ZEGxUjwXjei6kohHKpLlxwZTWImpk+IShpyyTwiR3vdJCYTQmLpKbEbfohI5yoyiCXaoYrJkd67EVVZChGXE7fHZHvdjKWPN66O7Yhs51EZsfTRaMmmAdwysydePwOxwSrRNITEZbvRT5AJAOYMCZEoGwQxnaQRLTqLyNE6kXgf3iQiNnDCjG4XCTJ6kSPpY1GMBRwRjR0y7MaUkIgcLW+iTHrbbndK4uW15VvI4Zht0EgY5ZMomwkTQdqy6GO7Ww4ljPzrW7bTk5hM3HXqtX7ROlHHb+CSiZC2E8XvEb0/E7YnyNGIyTePOxfJzr5BQtF8SFwmJJ6+r3usz3svQRfulJ3PU9RU4Hpu+pKj9UvY7m4jonI8vbONIJHyElC5vUC0jXDLBqWx63XLh2Yk1KOXdg/RNo0kyHDLZnx0Xcg0YulDru291c9IqJMRLy/tTaYJ7V5cdpS9j3o462TErkFi2fuSnXUyEQqlMaggTW5+qyEaQHlwOzvt7e2orq6OrdfU1ODAgQMoLi7G5MmT8dhjj6Gurg6//vWvAdgdnQceeADPPvssli1bhoYGW+04bNgwFBTYJo7vf//7WLZsGWbNmoXW1lasXr0aBw4cwH/8x3/4Lh8XiKv8XPMVJTl9hO9Z0OX8/JZHkV8KZ2XnwjZ5lY7iqRtRlKwC0u/QYt/TSSiGlstOn30MPecgaEARSlljrCPU+/lS7BApD0dVzYouO+/L67IPg98Is67zuRI4V6ntv9PQNQyleZ3u0USqWdDl309+I8jHK2dNzz44F2i40IbS0aPUo5PTbgrJbNMLT/Xz6EX82zT48UOQQe3jlZeXY8mSJbFh448++iiWLFmC7373uwCA+vp6nDp1Kpb+V7/6FSzLwle+8hWMHz8+tnz961+PpWlubsYXv/hFzJs3DytXrkRdXR127NiBD33oQ77LxzM5mE0GwwVwvMlMOhTMUISD4DhKY07Gmv7DBcHx9lF6NFZAuBA4VtukQ24EQI/czXwyxmcnk4jaRptPliM/f6S90fVlL2tSVJoAueevyM/15ajIz3W8Ij/XRJTSOrek08vHO/erjnef3/JelzUfrqB9sqZEUT/VftdEnz7XXZqcYJqdfu8fbM2OHATQta7Q7MjnU+XnmphU2m/K6VXlU6WXgsRRufze+4mRozheWieq/Yr6E3ld/j1V6/I8gM79rtgsLluI3/1yh9Tn/t5QapsU+5MIKtja2oaC0hlp8dk59fnbkJ8TPIhha08Yk9dsGnI+O0PUetc/dG89GJwDJy8aWrMTAA6CkxirNTsB4AI42TFC33cB4VzgZH2zbvcCkE4zlh6MFYysc1BOJ55mrAGfPkLen+YGSP7KkTUpHj4+HEB9G8XEAjZwUYCVPjWuA7z3+/bRUWjeVJqcPjRXHBT1RhEmsvqEyDi9nV+lOfSJS3Og8ulSXS/Fd5Ss6fH7pe/SFFJwTlDfOQwTcztAqUoTqnjefE8XIe/26eMj+wS5nJQG/ruUC4Ez59swsST/MvkKHjhNjkxaO4jJTuY5ROPs6M6OB+YQnUMkWUwKLJscHuxiZCUmOJax99GLR65GgUkFlhWfH+xiZC2mQbH8yrLBLkZWYspmVE3God/mHugQ4MFgHDh2wXApNzRqGAiO0QmxmDqa/sMEcKxjVCzeksYfjHMcq23S7V4A0nnNtBkrGLqz44FuM4MhAFzspPr6BUCA4CIZFQswqOk/AgQXe3L1tQuIEEBTa2fSUR6GIukd55NsT2doPh/ajOWBSeOBo1Rhc9w+BnJ6+QBlhlJy1egE2adB4ZPgM66OPBrD69k2KXD1JAZnXzrTvhb9+ugo9rtGTyl8dvoYzWWC4Wr2vut8QjU6S8bvl6ZiNBaRRy8pfVrkpkUabadCvj9dYaTccXRMAFcXnLN/WpeLjU+fI5XPnN/0WYBpUFyzYOJgF6P/ZJCKwpSfD03GoTU7Hmh1bjAYB46e12asIDAQHDWnaDNWAJgAjrYXajNWQBjnOHLivG73ApDWa0ZTsAxBtGZHMyB0af/kgBB0IQe25kK/tf1B0MUTtLEafwigq9vSt10Q0mjGIoS44x75PH4oojs7Hhh6NFYgDAosmuB3+goNABjgWGRVQb9x/GMQgUX5Fwa7GFmLYVAsnjN+sIuRlRjajJXx6M6OB96qSdXcOT59dFQ+OcovB7k8qrgz8unkuDp+X7bx8jIOHDlrYO5Y5gqkO3D4jZPifbgyYrXfiMn9jLjMQHEkZzrm9FTDSPRzUsX1STbCssJnx+UzJDXuRBVnhCsi+FJFRGxVnB1BwATBkY4izB1xEYZcHvl5UM2VRRRzZfm+v1LceZXzS8HHOuMclcfPY970sb186Pk9QbIRkzOB/peJpdNmn+yQqoy81gOP7uxoNBqNRpMl6L5OMHRnxwNtxgqGQYEF47QZKwgGOBb0VENk3Oi1zMcgAgtGNg12MbIWg1IsnDlusIuRlRjpU2Ff1qxevbrfaR955BFfeevOjgeMC/StylTahbzTJz19RLJD1/2arfo/MR/jwOEzBhaWptOMpSBZs4PfoelKM5dzXUTU4AwUh/NmY2FPpdOM5XdiUL9mE/n+UE0MKuUvxxlx3R0hqamxFEPR5fNxhdmDUDBBcLhjDBaOaIQhm6lcIfJVN6bqfvGe/sF1PZShKAYadf0Z43i3+iyumDnO/8vb99QLygxTnN/AwuTncyC5jKeLePrppx3r58+fx6VLl1BYWAgAaG5uxvDhw1FSUuK7s5MpryLNZUZe8El5hzgCeaIb2kE5CAJ51IK+dgEhQF6umW39jMwgnbYhkoIlQ6mpqYktP/jBD7B48WJUVlaiqakJTU1NqKysxFVXXYXHH3/cd966s+OBNmMFw6DAnLQ6J18+GBCY010DQ7+wfWMQYM7wizAyuDHPZAxKMXdqb87JGhXpvGbRoefJLNnAv/7rv+K5557DnDlzYtvmzJmDp59+Gt/5znd856fvag8sHVwrEBYHyk+bsPTl8w0Dxb5hC8H0o+kbSxCUt42DJUdL1vQLi3Hsfa8Olo4G6hsrnWasIUJ9fT3CYXfANsYYzp496zs/7bPjgWeT6fJhkF9O8tBVlY9OkkPTfU8foWjQVNNJyDb6hHVCgKLh3P6CiGbjegH13wcoPSiG6vudPkKRXsgvlFhjyVEUbo6se/jsyMfLQ7FVQ8FlZDu+a2i4v+kWVHe3//Io1ikHEQRFRieI4L38flJ95OtD/U4H4Zc0D033jf3FX5w/LGu+/N0oyp1yv6KErAfDjJXM8VnArbfeioceeghr1qzB0qVLQQhBeXk5/vEf/xErVqzwnZ/+fPRAq3ODYVBgxmiuzVgBMCAwvfuk0zlZ0y8MIjBjWDMMOaaOpl8YlGJG2Wjd7gUgrWYsSpJesoHnn38eEydOxIc+9CHk5eUhNzcXH/7whzF+/Hj813/9l+/8tGbHA23GCobFgfKTBq4uYzB1u+kLCwb2jVyEpS37Ybpnv9R4YJuxxuPqUfW6YQuAbcY6jWsWTNITW/rEsvSzmmrGjh2L119/HR988AEqKysBAPPmzcPs2bMD5afbBA9otuj7MgwKYHw+z+QRjhkLBcf4nrOgWrPjGwqB8TntoNq5OxCUEEwYOwo0a81YgwdNZ2M3RMxYUWbPno1Zs2YBSM5cqDs7HhhG3HPdbVL3GdfGlVz2QVDsV7bfqjga8stT4QOh8tGRfUQSz0yBKUVJvnCSbXCTjaMj44pj42/6CNd0C/J6JO4MBTDZOqmO0yP7nHDFl6XKh0fVWFPpS991fu/pMZQ+PPLvHZbWZU1DL+ejAKbkNNsnk6encE0foZjOQzZLuKanUPj0eDwf/cI1HUTw6Vv6C6UEU8YX2Ucrn780vzHT0gELfg6aTtPfEAqh/Otf/xo//vGPUVVVBcDu+PzTP/0TPvvZz/rOSxsZPLCY/kIMgsWBXTWGHo0VAAsGdhUuh0W0GcEvliDY1TZZj8YKiMU4du4/oUdjBUCbsVLPT3/6U3zpS1/CnXfeiZdeegnr1q3DHXfcgYcfftgVfLA/aM2OB1qdGwxKgOmjtRkrCBQc0y/VgCarGRiCUAhMz23SZqyAUEIwo6xYt3sBSKcZa6godp577jn84he/wAMPPBDbdu+992LBggX43ve+h29+85u+8tOdHQ/0oIRgUAJMyNcvnCBQCEzoaYCOAuwfSoAJOe2DXYyshVKCCWPzB7sYWUlazViX8XQRidTX1+Paa691bb/22mtRX1/vOz/9OvfAW50rxd8m0gIqLfLhcnpF/q78fMb/ls/nWqj3Ip3PFZEzYbE4wdZjJiyuOqdX/f1erxQjuLQI58KlRd7PWKDF4sC2whtsE6BjH3culuVcwsyxiB7LuVjMe5HSy/khHJaWHucil0deenoci7Asx+JKL1+bsOVcOHctFhPY2jrVNj+7fj9pgfBe5N9TXlTpXftV5x98LMaxde+xATJj+WyvUnJKuQ1Ldf4JbZ42/aWcmTNn4qWXXnJtX7duXcxh2Q9as+MBHcAgVJczlAILSrnWjAWACo75be9pM1YAKAQW5J3VZqyAUEqwYMa49I4sukxIp2aHIEkzVspKMrB8//vfxyc/+Uns2LED1113HQgh2LVrF/7617/22glSoTs7HuiXdTAoAUpG6hdOECgESnrOI1O+9rMJSoASs2Owi5G1UEJQUjxysIuRlaR36PnQcNq5//778fbbb+Ppp5/GK6+8AiEE5s+fj3feeQdLlizxnZ/u7HgQZgLRfrBytgcXiukeVEPRUz1dhHL6CL8B/vvO32ICWz8wcPNMDjM2qEjRc1RNB5BqVEPP/U4PIQ+1VqXvY2i5RUxsG3crPnJmE0xhxfdbliO5a7oJ+XTJjiSUp0/gzt+DuIaeS+umaqi7834Q0u/tGvosf3nI4bkphSUotl6aiZuHV8OkiqHlqvLL9U/10PIMxLIYtuw9jluumY5QSJ4Oxmd7oEqvbM/6Q+a8tMPS8zmQDJG+DgBg6dKl+O1vf5uSvLTuwgMjm+6KDIJSYGmZNmMFgQqGpU3vgAo9lNUvFBxL82p1QMaAUIPi6vkTQfU8L74x5DhUlxk7duzA3XffjQkTJoAQgldeecUz/bZt23qdbf3IkSO+zssYw8svv4wnnngCP/jBD7B+/XqwgJOuas2OB9p2HQxKCIqHD3YpshMKgaKei9BmLP9QAhQbnYNdjKyFEoLiAv3gBiGt74pBGI3V0dGBRYsW4cEHH8T999/f7+OOHj2K/Pz4CL+xY8f2+9jq6mrcddddOH36NObMmQMhBD744AOUlZXhL3/5C2bMmOGrDroL70FYe9gHIswENlRShLVywjdhYmLj+LsQJvo7xC9hQbGhfS7CLhOtpj+ELYbXdx1FWAfI8006zVj9HuGazOhXiVWrVuGJJ57Axz/+cV/HlZSUoLS0NLYYPuZce+SRRzB9+nTU1tZi//79qKiowKlTpzBt2jQ88sgjfqugNTtemMn0nl0+OnIDLDUoKhu260Pfr8+NbIOXfRDkw1U2eDm/+LppCFw/ncE0aLwYcnh+eaSba+SbosFVXa+BNkG6po/w66MjTzdhr5vowXVnt8EMdyPxR5F9dITlfT6Xz5BquggJId/7sk+NtJ9I55fXlbh8dKR1uZGUrx/nMAXH9XnHYHILECHnfr8+WqleT5oU39+9PD+mYeD6JVMzYxLQTJwewqNMGXHNMpAlS5agq6sL8+fPx3e+8x3cfPPN/T52+/bt2LNnD4qLi2PbRo8ejR/96Ee47rrrfJdFd3Y8SGbSsaEMIQSj8ga7FNkJATAq3AZtxvIPIcAo0j3YxchaCCHIH6Ef3CCk812RKgfl1tZWx/bc3Fzk5uYmUbI448ePx3/+539i6dKl6O7uxm9+8xvceuut2LZtG2688cZ+5ZGbm4u2tjbX9vb2duTk5Pguk9b3eqDNWMEIM4HXDhNtxgpAmJj4n8kf12asAIQFxWuXrtBmrICELYZXt7+vzVgByEYzVllZGQoKCmLLk08+mbIizpkzBw899BCuuuoqLF++HD//+c9x11134Sc/+Um/8/joRz+KL37xi3j77bchhIAQAnv27MHDDz+Me+65x3eZdIvqQVJmrCGMSYEVcwRM/c7xjSks3Fq3wTnsXNMvTHCsyKuECQ5AmxX8YhoUty2bZZufNb7IRjNWbW2tw3k4VVqdvli2bJmvYeSrV6/G5z73OSxfvhyhkG2WtiwL99xzD5599lnf59edHS8S9YWqsDnZHnfHh0+OXRzJR0M63jSIIjK8z/IMtklRjquiisMj++i4fDpkn514epN3KX10XD45cnppv28XEilOj+yjA0O+f73vZ4Kw9/mk39cVd0d+mbjWKSAQ6ehwJAR4snH5WKnWVT448rpKC6z6AZI1W/qNa9M78Y6OKr8M7BBlYpkGgGRnv4gem5+f7+jsDDQVFRUYP358v9MXFhbiz3/+M6qqqnDkyJFYUMGZM2cGOr/vSybb+ZLB79h9wHZaWrp0KfLy8jB9+nT88pe/dKV5+eWXMX/+fOTm5mL+/PlYv359oPJZyQZmG6JYHNj4vv1f4w+LmPjfqR+DRfV3iF8sUGwML4KlrfOBsBjHhjeP6nmeAmAFjP0SiEEYjdXe3o4DBw7gwIEDAICamhocOHAAp06dAgA89thjjtnJn3nmGbzyyiuoqqrCe++9h8ceewwvv/wyvvrVr/o+96xZs3D33XfjnnvuCdzRAQJodoqKivDSSy/5GmvfF37H7tfU1ODOO+/EQw89hN/+9rd488038eUvfxljx46NHb9792588pOfxOOPP46PfexjWL9+PT7xiU9g165d+PCHP+yrfKb89arpFyYF7pgPbcYKgCks3H5iPQyuzVh+McFxR+hgRLuj8YtpUKy6bo42YwUgG81YfigvL3eMpHr00UcBAJ/73Oewdu1a1NfXxzo+ANDT04NvfetbqKurw7Bhw7BgwQL85S9/wZ133tnvczLGsHbtWvz1r3/FuXPnwCXt7JYtW3zVgQjhT8FNKcUtt9yCtrY2EEJw9dVX47Of/azvjoSrIIRg/fr1uO+++/pM8+1vfxuvvvoqKisrY9sefvhhHDx4ELt37wYAfPKTn0Rrays2bNgQS3PHHXegqKgIL774Yr/K0traioKCAjSfqkBBQUTNp1Bjuy+jKry8Sm2uULO75wfwd7ycXn65yunl/Vw+X3y/EAKdPQx5ZsJHBJPMGK785HUpvWvotpRedqpUppfW5fTy/m5plE9P2HNdyOnl/Hp6ej1eAOgyhiG3u91hSEi7GUvCNdRc+hBw7Zd6uvI6QtLQ8BxpXfIfIHm5nvuRmwMhgC6EkIewO70pfdfJ55f3m6r90mgQQ16Xym+EPPdD1uTRkGJdernKDu2yncOVXn45Uwgh0NVjIS/HBHWll83K8vEqs3Oy+3tDPsZvJy11Q89bWlpRWDoDLS0tA2Yair6XLjx+P/LzQuoD+sqnK4zR//rygJY1FXz1q1/F2rVrcdddd2H8+PEuV4mnn37aV36BdOUHDx7E3/7t32LEiBHYt28fbrrpJnzpS1/yfXK/7N69GytXrnRsu/3227FmzRqEw2GEQiHs3r0b3/zmN11pnnnmmT7z7e7uRnfCyylqqusOcwAEjHEAAoZBbZnYU0lYjIMQwKAUjHM7sCWl9nYIUGqnoZSAEgLLYqAGBSUE4bCAaVAQQhC2GMzIXDwWEzGNksUEQqbdCEVlLgR4JA0XApzb+XBur9tyfDvjthe7SQlY5AVoUAIWmevIiG7nBAYlsJiw60Rs2a4TgcXsaSBo4vaoTAEKgjCznZItTrD5CHD7PCBk2OYsM9KwWNzeJkBiMhcAFwQmjcp2+picuJ3a7iSCk5gMYZc3anU0CMBA7d+MAJYgIAIxmULYZY/JkGQKym05LChMcBDEZcBOY0ZiAVkwEBIcIiqD2eWFnYaDgHPAFBGZUJiMx2XB7L4WIeAg+Ou0j+LW6peRx3rAIg044RyMGHadBIfFiH2PCQ6LGiCcRGQTlDMQJmIyhYBFjLhMQzCYBRKVIx1LligbIZg8DAECRk2YzLLLSw2Y3ILgNCZzEAiTwuQMnFBwQhASPFJ2AkMwiASZEQpCOYxoGgEY1LLrJwQMcFhGDii4XV4YoGEWl8FhGFZEtn/psGF3djaLhVhBDiIvcjNYiPxmVMACRYhwCAFYlkCIivi9ZyTIVNjPVkyG/cxF7z1h932i/UuD9iZzGNS+3wlsFyLH82Qx5/MUMqTnyR4NalISaSO4o10wI3NX9dlGcAEzUaaw24XENkJE2wj7mgghsGlPFVYum4VheUak3UOk3RN2uxdt3yiPyAyUEFBqRGQaqR8HpbYcthgMw4jJpkFBEJfteiTKHKGQGakTR8g0wDnAeFQW4JzDNA1wziP1iMhcwDSNSJ3s7Yxz+74yTKlODCAkVg8SlS1mt9m9ytE6WTCoEZPTOzcWSWqoe7aEVPnDH/6Al156yZc2yItA+srf//73eO655/CjH/0ImzZtwt69e/Hqq6/iqaeeSkmh+qKhoQHjxo1zbBs3bhwsy0JjY6NnmoaGhj7zffLJJx1D8MrKygAAR0+cBQBUHm9A5XH7+ENVZ1B18jwAoOLIadTUNQEA3jl8CrUNLQCAtw6eQMMFOz7Azv01aLxoz8S8ZW8Nmlu7AACb3j6Otkv21/2Gt6rR1cNgMYENu4/DYgJdPQwbdtcAANouhbFpr60ibG7rxpb9pwEAjc1d2Hmw3q53Uyd2v3cOAFB7vgN7j9rlOtHQjorqiwCAqrp2vFtjl7Gyth2Vte0AgHdPtKKq3g6zX1HTjhPn7DLuPdaB2gt2GXdXd6Kh2X657zzaicY2u9HYUtmF5ku2vOl9C23dQCjSKDPh9N/psoCNR+z+dXsPweZq++u2uZNga40dpr7xkoGdJ4fZdeoIYU/dKLtO7XkoP1dg16l1GA5cKAQAVLeMxOGL9tfJkZYCHGmx0xxuLUJ1uy0faB6NE122XN5aitpuO889bZPQELZned55aRoa2QgAwNaOGWgWdnk2d89Hu7DLuVEsRRdCtm9IaBksGOhCDjaGltl1IsOxefi1AIAWMx/bCq+36xQqxq7iG+w65ZZiT5Gd/vSIKdg3xpZPFs7EgXEfRkhYmNV0GB+MWQwAODpmEeEzT6MAACAASURBVI6OWQQAeH/8UhwfswAAcGjytTg5eo79m029CWeKp9v1m7kC5wrt+/fteXeiKd92CHzzivvQOmIMAGD74v+DjmH29dhy9afRHRoORkPYcvWnwWgI3aHh2LL00wCAjrwCbF/8fwAArSNG482F9wIAmkaVYs/sVQCAc4Vl2Dt9BQCgrmg6KqbeBAA4VTwbhyYuBwAcK56P90quitTpShwpusL+nUYvQXXhXPt3KroKJ0dOAwDsy1+C07kT7d+p4Bo0mHbZdw1fikajyP6dzCVoJvZvuZlfiW6Sg7uNfdgsFqFLmPbvdGkeLFB0CRMbW2bZvxPPweaLUwEAzVYutjZPtn+nnjzsvGC3HQ2dedhzzg5mVtsxzHnvnbfvt+qmXBw+Z8elOXLexJHz9r19uMFEdaP9DByoozjRZMt7T3DUXrQ7Yburu9HQbD83Oz/oRmOr/bLccrgNzR32c7ap4iLaOm15Q/lZdPVwu40oPxtvI945AwBo6wxjU3mtXae2bmzZZ7cXjc2d2HnAbi8aLrRj96E6u05nW7D3PVs+UdeMiiN1CJkGZk8ZgyMn7PatsuYsKmvsNvBQVR2qTtrtS0VlLWpO2+3tO++eQG2D3b68VVGN+sZmAMCO8iNovGh/NG7Z8x6aW+028I2dB9HWYbcvr2/bj67uMCzG8fq2/bAYR1d3GK9v22/XqaMTb+yosOvU2o4tbx2069TUgh3vvAcAqD9/EW/ts+dbqj1zHu8cPAoAqDnVgIrD1QCAquN1OHTkhF2n6pOorD5p1+lIDaqO29em4nA1ak7Zbfw7B4+i9ox9Dd7a9x7qz9lt6Y49B9HYZNdvy64KNLfabfwb28rRJWt6B5LodBHJLFlATk5OUj46Mr7NWGPHjsXOnTsxd+5cx/a//OUv+MY3voGqqqpgBemHGWv27Nl48MEH8dhjj8W2vfnmm7j++utRX1+P0tJS5OTk4L//+7/xqU99Kpbmd7/7HT7/+c+jq6ur13x70+yUlZXhQs1+FBcX9kuzY3/VeGl2IGl2LIVmRzi/2izmrdlhTNLsWJJmB07NTsRsE9fsWJJmhzu/RMNhSbPDnF+igsU0OwBwsd1CwTBb82trduzGPKbZYZZTs8MspwZHhJ2aHctyanYs5tTsCObU7FiR3yyq2bF6nJodzpzanIjmIKbZCXc7NTvhHqdmp4c5NTs9nQ7NDusOOzU7Ycup2enucmp2euyvTCo4WnMKMLyrFaaw4pqdMPPW7DAuaXZ4ajU7QtLsGLJmx3BqdqhwanZyTDg0OyHDqdnJMZyandzhTs1Obsip2cnLcWp2cofDEBwdJA+5ogehYTmR3ybym4VMp2bHCDk1O7mmU7NjhpyaHWo6NTu5uU5tDsmJyxwADTk1Ozm5zudJmJJmJ8f5PBk5Ts0ONyTNjhmTQyaFgOHU7Ajq1OyYplOzI6ik2aEwKEFLexdGDstBKBRyakFsJXeCZod6a3aY8NbsECppdnjymh2BgdXsMN6nZqejvQNF42emxYzV9MO/SdqMVfwvf8x4M9ZTTz2F48eP42c/+1lKtFG+zViLFi3CmjVr8OMf/9ixfebMmaitrU26QF6Ulpa6NDTnzp2DaZoYPXq0ZxpZ25NIX5Ejo71Aw6CxNSPqvBdpKKLIcrQPGXdcsxucKKGQJEd8aELRbIRANAkhJCZTQiLmfRFpZCLbDRpT01GDxGzuRtS3QvC4nFiPaJpI+phrBRcwzXh6M6G8JkXM5ShWJR4vb5gJ7DkBrJhHEaLErlOkoxWtHyEcISNaJ8RmWqYkom5kJC7DfkFEZYNE/ySMgGbEMRraSJgOwyQi9jVjV4nYo5PlNDGZx8z5oYRpLhxywnQWIbCYj4wJCwKIdCzsNBQAjfgMUQh7Vm7B7e2R351GfKDC1MTuibfg5qr1EFzE8uAWj83mLQBQKy4b4BBcRGRbEyeYiMsADJGYvscO0gWAojt2nztkqzvmVUbBIAgBAWCAQQAgXMRlAITxSHq7XsIksbJH09h7AQK7YyYiedsnETAQNwWYRvzjw4QVC5sT7TSDGbHOJgCEeBhhUOwSc7ECFSDR5ymWxu6EwrbGIEQEICK/Ta+ycG6P3HwGiVRG8Pj9JgAj8rGCiLk0erMmuiolDnhwyZHGPHF7KOEZDZmJcjx9KPKM2m2ELVNCEp4nAhrJ036GonK8vTCoEet8vHXwJFYun21vd7QRUlsX6YTH2jdCHO2b6SivkVBew7k9Kie2h5GLbdfJiJed9iYntHuUxn8nmlB22ns9EudpSnQwNs2EOiW2e46ymw6ZyaENBpJUhVDOQOS5t7Zs2YINGzZgwYIFsVg7Uf70pz/5ytt3Z+eJJ57AzTffjLq6Onz5y1/GlVdeic7OTvzwhz/EtGnT/Gbni+XLl+O1115zbHvjjTdw9dVXxy7E8uXLsWnTJoffzhtvvIFrr73W9/lCcqwOTb8IGQSrFuprF4QQt3D7sZch0tl4XiaEwLEK+wa7GFlLyDRw1w3zBrsYWUlIdmAfSOxeeXLHZygFBQWO9Y997GMpy9v3L7Rs2TLs2bMHX//61/GRj3wkpsHIy8vDH//4R195tbe3o7q6OrYeHbtfXFyMyZMn47HHHkNdXR1+/etfA7BHXv3sZz/Do48+ioceegi7d+/GmjVrHKOsvv71r+PGG2/Ev//7v+Pee+/Fn//8Z2zevBm7du3yW1Vwn5Mnamy4ELjYIVA43P6y1PQfDoKWvGLktzeC6vmxfMEBNGMkCtGeye15xsK5QHNbJwpHDQPNEr+OTEG/K1LDCy+8MGB5B2oTFi1ahG3btuHMmTP4n//5H7z66qs4efKkb6/p8vJyLFmyBEuWLAFgj91fsmQJvvvd7wKAa+z+tGnT8Prrr2Pbtm1YvHgxHn/8caxevdoRo+faa6/FH/7wB7zwwgu48sorsXbtWqxbty7Q0Pi0qiYvIzgH9p3irqC1GjWcGNg//jpweeivRgkHxT7MjBjSNH5hnGPve7W63QsAk0NxDCg0HkY5yDJEnw/fDspDgagjWMvpd5Gfb4/2UMe58RuHRxFnx7U/ybg8fuPwuOLuKOLyuNI714W8Xxl3R46zo4i744qbo4iro4qzE5bOJ8fN6XQ6u4tuOW6OtC4fL6UX0qypPMw914Ulr3vH4RFyNHC/j71r+gZVnB3nOg05G1gScnbmaI60P1eKWzNMmo07z7lO5P2K9O44OyHv/ar0ppS/FHeHmHJcHTnuTo73fr9xdnzG4SFyjBpXzBpFnJ2Ux9Xph2ZJGVcnSe2UD610a2sbCsZNT4+D8v/7FPKH+Z/1O5ZPZw+K/++LGemgfNVVV+Gvf/0rioqKsGTJEk/H5P379/vKW8ek90CrJoPBhUBjK8eYUUSbsXzCQXBh+DgUtdRrM5ZPOIBGUogxonmIfrsmB+cCjc0dGFM4wtVX0nij3xWp4d57740NFvIamR0E3dnxQA5PrekfnAPvneG4YZahG02fcGLg/ZKrsLxtI6ieMsIXHBTv0am4gR3SnZ0AcM5xuLoBN141DfQyn/4g1aT1XZFsrJwM9sf6t3/7t17lVKA7Ox6YejRWIEyD4Oa5+tYKgiks3HTidd3RDoAJjpvZgcEuRtZimgZu+VDqgrgNJdL6rkjVtOdDDP1G8sChmpRvENnHRe4sS1pN2ZojhGyzlo+Xb0g5Q2m3a0OS61Q6v/zydc2VE1/nQqChWaC0INGMJaeXfQR82vTldflrhfs8PtXIPjGymrsPnxoOgrOjJmFs0ymHGUv2uXH56Mg+PD59dlQuPK77V7q+RLpfiHx/S8jmTeGae0vSaoWlddPtc8VB0EBHo5RfAJV9sFzX36cPnmruO8W67LPnvjp+70+fz08/4FygvrEV48fkuzWyfl+Q2Wi+TqLM+uMkNRQVFfU7gGBTU5OvvHVnxwPuckrW9AfOgWPnOUpGaTOWXzihqBk9D6ObT8cCDWr6BwfBcWMiSniTNmMFgAuBY6cvYNzoUfr6+SStPjuXsRnLaw7LZNGdHQ9MbbcOhGkQ3DBL31pBMAXDtSfe0F+KATDBcX344GAXI2sxDYobr5o+2MXIStJrxrp8Iyh/7nOfG7C89RvJA7u3nhATPqUobjiVmcpVHJUaW2EWU6aX1eby0NN4fpwL1DYJlBUZseBkhMpqfdksJuVHFUPnIa/7NNMNtFlL7qy4zEa9m5E4oagrmIbx56tBE6+RbJaS1jlTDEVXDT1X3N4uqyuTNhhyfs77xdV1k4eyy7e3PLRdFTrAsufoqjVLUWY1gDI5lIIcekFq+lRmrcEm5S8o9/PBOUdtQzPKSgtjU0z0vzyq8iX5vPXLjOY3z9Rd0/Q6KFO3m4Hf47OEY8eO4YUXXsCxY8fw7LPPoqSkBBs3bkRZWRkWLFjgK6/sqfUgwHUIokBwAZxp5i43CY0aDoKGgsngQ9SJMBk4COqNEvBk46sMUbgA6s636uc2AHroeerZvn07rrjiCrz99tv405/+hPb2dgDAoUOHAo3U0i2qB9qMFQzTIFg+I8cxqaGmf5iC4ZqTW2HqYee+McGxrPtgbGZ6jT9Mg+LaRVMdkxpr+segmLGSWbKAf/7nf8YTTzyBTZs2IScnHkTx5ptvxu7du33np+9qD3TY9GAwLnDsnAWmv3Z8wwhFzei5WrMTAAaCY2YZmNbsBIJxjuraRt3uBSCt1yxqxkpmyQLefffdXicCHTt2LC5cuOA7P+2z44FAQi/Y5eKS6qHoqtLIPjPyw+XXZ0eFVCAfQ9EFAZoucUwhZsL1S3bouZQ+iaHxvebv16fAb4Phmp5D2h/1MSEEzXmjMZEDJKGzyF3TQyh8dOT98tB12cdHcQPKw0Hd00PIQ8+dx7s8xqT85EgBMJzlM+Sh5tJQdBG2IEBxMTQKU8LMPf2HvK76PVRDz1XTtaQdvz42boQALrZewtQJxf7zT5rs7qDqWZdST2FhIerr6zFt2jTH9oqKCkycONF3ftnRxRsktDo3GCYluGZaLswMHuKYqRiCYcmpnTD0sHPfGOBYeukQDG3GCoRpUFyzYLJu9wKQVpeHIWLG+vSnP41vf/vbaGhoACG2A/2bb76Jb33rW3jggQd856fvag+0OjcYjAscqQ9rM1YAGKGoGnelNmMFgIHgaN50bcYKCOMcR2rO6nYvAGm9ZkOks/ODH/wAkydPxsSJE9He3o758+fjxhtvxLXXXovvfOc7vvPTZiwv9Ls6MF1hffGCQdAVGm6bUDU+Iegiech2k8igIYDObku3e0HQZqyUEwqF8Lvf/Q6PP/449u/fD845lixZglmzZgXKT3d2PDA81bkKn5JU+/C4Eqimk5D3J+njIxfII86OYQCLpwzrc7+9roiz49ovmXVc00XIPj3yfvn3gmJd9ilKsaaljzg7VDAsrN0D7ooLI626fHC8fXbccXiYtN/bbOaaDkK6/pQ7mxIprJIyzo7rcTKl8oaZtF/y4eEcBjgWdRy21+U4PK64O6rpIuQCp/hlluz9pPo6V+x3heQnBIZpYMm8ScmVK55hkocPgGZzAGMVGUYaX6VDJM7OoUOHcOWVV2L69OmYPt0Z7PKVV17xPSt6dtR6kGByA6npF4wLHD7drc1YAWCEonLCUjBtxvINA8V7w+eA6WYtEIxxHK46o9u9AKT1mhEkacZKX1GT4fbbb8fx48dd219++WV85jOf8Z2fbhU0Go1Go9FkFF/60pdw6623or6+PrZt3bp1eOCBB7B27Vrf+WkzlgfeZixNXxiUYOGk3MEuRlZiCI55Z/bpSWgDYIBjwaWjg12MrMUwKBbOmjDYxchK0vmuIIS4Qj/4PT4b+O53v4sLFy5gxYoV2LlzJzZu3IgvfOEL+M1vfoP777/fd366s+MBYwlzY7l8bhRzS6Xch0fhczLQc2epfIASfG4YF3j3VDeumDwMRuyhdOZHpLmuhCqOjpB9euTyKHx6VD4+Ch8St89Pcg2Gqy8TuZ8YMVA56RrMrt4DI+EauXxy5LmyJB8dJsWh4XJcGkntzi1/Q92pFDFW9vmhzNm0mMhxrMu3szwXFg87yyfH8TFkn5xwGAwUh/MXYmHrYZjKODvOVdVcZsp1BcoXjGu/fH8nG0dHfb8yxnGo6gyunDUBhhnyl5/v+qXihZs5L22m8HlLKYQm59OURSbyZ599Fp/97GexbNky1NXV4cUXX8S9994bKC/d2fEic56lrCMvlD0PVCZBIJAbvgSih8QEIo91DXYRshcCDMsN6XYvCOnUllDi/vjye3yG8uqrr7q23Xfffdi+fTs+9alPgRASS3PPPff4ylt3djwwssRrPdMwKMHciXmDXYyshAqOWQ2HwLQZyzcGOOZ0fDDYxchaDEoxd9q4wS5GVqLfFanBa4TV888/j+effx6ArSn1q03TnR0PLIeqX2HmUKm1kzRrqdXYcgRP+UZQqclVyAXqe+i5xQQqjl/CkqnDEyYDla+faqi5vN/y3k+l+nLV0HG/Zi2f6zKKkWnR24cRA+9OuQ4LPtjhiKIsJDOLavoH2WzFpaHbsplL+Gw45PxpyNmUyGY2GdmsJYcWkH0ShCmZPSXNIbEsMGLgQNFVWHxxPwzpehC5fq6h/VJTmPFxU1Rf56rn221WshhHRWUtlswrgym/GbLEz8PBAA41l7HSasZKMjBgBv+WfACDM+rOjgcZfE9kNIQAxSMMff0CQCBQ2HEeJONfthmIECjqacqCjkpmQghQlD9cP7cBSKvT7xCJs5NqdGfHA62aDIZBCWaUajNWEKjgmHq+Uo/GCoABjuntxwa7GFmLQSlmTh472MXISvS7IjWsXr0aX/ziF5GXl4fVq1d7pn3kkUd85a07Ox6kVTV5GWExgb1V7bhmxogEM5amP1jUxIFpN2FR5RYY3FIfoIlhEQP7ij+EpU3v6IYtABbjeOfdE/jQFVNhmvrl7QfL52jGpLiMzVhPP/00PvOZzyAvLw9PP/10n+kIIbqzk0oopfEbQznUXNqtCjfv04eHSBvUmnrZB0Xen+T0ETIJPjSUCkwozgWlRvz6yfMH+B6KLvtUyOH/FUPXXdNHSPuZYr88q7E8fYLsY6I6fx9QwVHafBLgDCLxR5Z/LsknRjW0XDUU3XW8wueGSi9DeToKqogoK08/IV8feboIIvnoUEv2yeGgEBjfUQdqWe7pIpRDy+USqvbLyVM9nYRfHzGf+3uBEmBiSUHkp0hyKLnfF6pyOPRgvKD7f06azhFOl3Fnp6amplc5FejOjgdUqyYDQSnBlLHajBUEKjgmXajWo7ECQCEwuePEYBcja6GUYsqE0YNdjKxEvytSw6OPPtqvdIQQPPXUU77y1p0dD7QZKxgWE9hd2YLlc/K1GcsnFjVRPnMFrnp3ozZj+cQiBvaUXI9l53bphi0AFuN468BxXLt4OkxTHt2p8SKtZqzL2EG5oqKiX+mCOITrNsEDmsHqvkyGEmBGaV4mx67KWChnmHrufZdZT6OGCo7prdWgWisWCEoIZpSN0e1eALQZKzVs3bp1wPLWnR0PKDUQfLoIOb2cu8rG720Td08nISeXfYIU2ftFPmHC+agBTBgzzLlfFfdG8smRIwgLl0+TT58eV3rZRyfJuDpy/n4blIiPDIVAadNJ14zxrukh5Lg6zDuODusOO9OrfHYUPig8LPvYSNM5KHx+ZB8nKs0tJEzJByos7Zd8dmBZoAAmtJ2011XTRbi0tj6ng0jaR8fv9BDJfY27voR7uX+pAUwcV9xXDkmdPy0+N4P4EtdmrMxH/0IepFU1eRlhMY6th5pgsRQ7bQ4BLGpi1/x7YMmdN40Si5jYNul2WERfuyBYFsOWt4/odi8A6TVjkeSXIYhuFTzQvfVgUEqwYPLITDYNZyyUM8w9XQ4qR/jVKKGCYf6FA6DaBBgISikWzpyg270ApPWaDaGJQFOJ7ux4kFY77GUEJQQlhTnqhBoXFAJjWs+A6YlAfUMhUNJ5drCLkbVQSlAyOn+wi5GVpPVdcRlPBDqQ6M6OB2GHatLv3Fg+fXiUcXdkJx3Fblf+cgK5d69y6lHMbZWAxTi2HLiAWxaNgRn1xSBygVXrcv2lr/Wk4+7Ic2/J+SuOd8XdUc211b+vKYua2LXgXizf/yeYLMGPRo6rw+S5slRzY0k+PD1OHx4hqeFlHyDZZ8jtcyNdD9lnR/p9VMfLPkByXB0umUipxWERE9un3ombTryOkMpHx1W+JH10lP4ifuPWqEg+ro5MOGLGuuXDcxEKhXwf74ssj6sjE5bjOmkyDt3Z8UCHAA8GpQRXzyrUmrEAUM6w+Ph2UB32wDdUMFxV/6Y2YwXEoBTXLJyq270AGPLH00ByGY/GGkgG/a7++c9/jmnTpiEvLw9Lly7Fzp07+0z793//9yCEuJYFCxbE0qxdu7bXNF1dXb7Lpl/WwaCEoHhUjh7CGgAKgcKORlBtxvINhUBR1wV97QJCKUFxwQjd7gUg7UPPo7F2gixDtF0eVM3OunXr8I1vfAM///nPcd111+FXv/oVVq1ahffffx+TJ092pX/22Wfxox/9KLZuWRYWLVqEv/mbv3Gky8/Px9GjRx3b8vL8R/QNM57EdBEDbdbyPt5t1pLNKnIsktR9mYQtjk37zuK2q8YhFDVHyGYv2WwlTychfZ0T6ctJPRRdNjPJZirpAklDn8FUZiyFWUsx1NelxY+Ux6IhbFv4cdyw9yWYLIy+ENL0B1w2Q8lmH5/TRcj5qYaiy2YoVXr5AsjH05CzaeI50n6pfsLiCFMTW2d9DDdXrUeuYvoMImvOXNNHpHpoubzb537ldBGqoevq9bDF8Mabh7HyuoUIheT2IvXTUySXvrdz+s4gyePjaDNW5jOomp2f/vSn+PznP48vfOELmDdvHp555hmUlZXhF7/4Ra/pCwoKUFpaGlvKy8tx8eJFPPjgg450hBBHutLS0kDlM+UXmqZfmAbB9QvH6OjJATC4hWUfbITBdOPpF5MzLD/xBkw9ki0QpkFxw9LZut0LgCl/7AwkUTNWMssQZNDu6p6eHuzbtw8rV650bF+5ciXeeuutfuWxZs0arFixAlOmTHFsb29vx5QpUzBp0iR89KMfVYag7u7uRmtrq2MBAB5xYmSMg0W+DBnjYJGvaosxh8wdsn2sZcXlsCRHv36jshDCJQNwyJw7ZStRjpSRcx6TmSSzRJn3VienHKuHLIto/eJy2OIQQoAQgmGRL3G77DyhTjy+PVpeIWIxefqUeVxmXCD6Yc+4vXjJFgei/qwWj/umWpwo5TAnsY/8sKAQwv7ol2XAVq6FIxoyDgIrUSa9yTQuEwpGDBAIDO9uA49okhgxwCJpGDXAIxoRZpjxNImyGYqnMUMQkYaNhXJik6uynNz49pxciEgIR1sGBAhYbq5dJ5IgUwqekyjnxOVQVDZiMjcMcDMUlw0zIpvgkZcDN0zwiBaOyXJiXSPltRJlaoJHvs7DEYf1Ud0tsKgRqQcQJmZcjvwetkwjvwFgRWUBWP+fvXePkqM4E3x/EZlV/ZDUrRd6IIQeICSQDAgJkIQFGBlh5MH23Jk1O3uN790Bc1jP3rGX9fEd7J1dG58ZzuyxvQw7Y3u5Fy+DPYdhZuWxPdcCJBAggST0oFsvJCEhiW61utVqSf1WV1dmxP0jq6sro7oru7Klfqjjd06e/qLy0RGRGZGR8X3xfVr0LatMfRnygJ69HtnXOW1I97ahkJzfnnLlgu2ppy/QOf2Czu0XCvcRQgjGlZcMst/LyP32e15OmbyccoTl3jJ52bz33e+pPuWgTL2y3yOHyuT3XSbPLEdfZfJC8pBiBzuxGLbBTlNTE77vM3369NDv06dPp6GhIfL8+vp6Xn31VR577LHQ74sWLeLFF1/kt7/9LS+//DKlpaXcddddHD16tN9rPfPMM1RWVma32bNnA7DvyCcAHDpWy6GPT2V/O3qiHoCqgyc4UdsIwM69H1Nbfw6AbR98RP3ZZgC27D5M04Vg8LR5x0Ga2zoA2Pjufto6AjuiDe/spSuVxvMVG7bsw/MVXak0G7bsB6Cto4uN2w4B0NzWyeadHwV1eKGdLXs+DuqjqZVte4MosbUNzew8UAPAibrzVB2uA+BoTRP7jwV1e+j4WQ4dPwvA/mNnOFpzPijTkXpOng7yvuvDemobg7xvP1BPw/kg71v31tHUHOR9c1UdzW0pADbtqaPtYpq0p3h1VwNtFz08X/PqrgY8X9PVrXh1T/A/27p8NlUH/6e5w2PzgbagTK0eWw+1A9DQrNh+LLh27QXNrpNBp3PynKY6uB0cOwsHgtvB4bMuh88GL70DjaUcOx+8mKsbyjjZEqgxd5+poLYt+H1H42QaLga/bz03nabuQH7r7EyaveCYN5rn0u4HL+zX2hbSpV08JK+lb8FD0kWC19K3ANBOGW+4ywFocSp4u/KuoEzuZN6dfm9QprKZ7Ljq0wCcqpzLnlmrAaiZupD9c+7Ckwk23fq/c+i6VQB8POc2Pp5zW3D/Ft3FJ/OXAvDRss9SP//m4F7euY6m+UuCOvjsl7kwewEAR37/UdpmzQuO/z++SeeMWcHxj32b1JRpwfH/4Qd4EypQyRI++vYzqGQJ3oQKjj31XwHonjqd408+DUDX1ddy8t9/F4DOeTdQ87X/GJR70c3UPPLvgnLfspy6LwczredvW0Xd5x8GoHH5PdTd+3sA1K+6n9N33Bfc17s+R8PSoJ4+XvkgZ264FYAPb/8cZ2YvBGDfyi/QNHUuAHuWfZELk64G4L1PfYnWcVODe7bg92kuncSGm/4NmxZ9mS6nFE+4vH7NQ3jCpUuU8HpFcA/a5TjeIKjHZsbzFkE9Nvnj2NoZ1FdD9zh2tAT/pzY1gd3nA8/CJ9vHU31hEgDHmss5cG58UI9NSQ43BYO8A40lHGsKXijVdZKT5wN510mfWkpAJwAAIABJREFU2gvBC3L70U4amoOX5NbDnTS1BCrLzfuaaW4Pft/0wRnaLgbyq+/X0tXtB+3p/dpMe/J5dXvQ5ts6u9n0/vGgTG1dbN4V9AtNFzrY+kFwTLiPuMDO/ScBOHHqHFUffkLa8/n/3t5L9ZGg7zj08WkOfXw6uAdHanL6vZM5/d6x3n5vz+Hefm/nQZrOtwRl2raX5tagTW/cUkVbx0UANmzeRVeqG8/32bB5J57v05XqZsPmnUGZOi6y8Z09QZla29n8XvDR2nS+mS3v7wvK1HiebbsPBmU63cjO6sNBmWrqqdof9PlHj59i36Ggbg4d/YRDR4N+fd+h4xw9XhuUaf9HnKgJyrez+hC1p4Pybdt9gPrGoG/csmMvTeeD8m1+9wOaW4M+a+Pbu7iQkS0jF6EjleuXh9OnTzNr1iy2bdvGypUrs7//xV/8Bb/4xS84fPhwwfOfeeYZfvSjH3H69GmSyf59uiiluO2227j77rt57rnn+jwmlUqRSqWy6dbWVmbPns252g+ZPHli9kvAcWQgC3CEwPN9hBA4UuL5PlIIZFYOHE15no+UEikDnbjTI6c9XEciRPB7j8rH81UwjZz5Iku4DlprPN8n4ToopfGVyspKKVzXQfk+SmtcR6KUCn53JL5SaB2olnylQAfl6PnqcWRPmVSmHAqRLZ/KlEngeele2VdIoZFC4HkK6QgkwVdmTznaOy8yrtRFCIHna1zZ+xWbcCXa97Ky0hrldeM6IpAVuMLvlR2BSnejsuXQKJXGlSIbVsHR3dkvaEeCn+7Oyp4C4adwRCBLAdJP98oCvJSXKVPw5S69FFIEMzuu0Ih0N2ktccl85aXSvTKSREcbGvBwSODjd1xEIXHxUQhUx0VcnZGFxGlrQyFRQuBqn+5OH41Aap+LyfE4rW24ys/O6ui2LnzpILRGakXqohfIysd3XNLtHUil8N0Ewvfx2zrw3STS9xBa0ZVWSC+Q/WQJuq0doTV+sgTZ3Y2X6kaVlCJTXSAEnnSRqS60EOhkCeLiRbSUaDeB7E6B62RlLSW4CWS6G+04aOmQFCqYvZESmU4jx5eDEEjPQzkubnkJ0g9ktKa0LInvuNkyOZMqEUohtcJ3XJLjkkit8RwXqXyS490gj8oPDJInluMon5RbiqvSlIwL6s0TLq72oLIye2804FdOIoGPIphhcyeUo3RGFgpVUooiuPdKg0qW4UqNr0FrgVuaCGYLdeZ5c8t6nz0FuGW9zx7glpTj+TrTLwg8UdIr+xqZCAz6PV8hpUA6Jdn2JIQgrZycPkLjZpaGZ9uTcLL9hdIa5RP0CzqYTUokEkF/0dNHaJGRnaCPQOJIQefFFCXJBK7rhvs9pYN+L9O/CSHD/Z7jhPtAT4X7PcfNyB6u42T6PS+r/gn6vR7ZJ+G6Of2ei9Lgq4yc2++pYMbZlIN+r7d8aI3jOH305SKnTBnZ84N70Kcss+VwpJOVO9o7mDTzOlpaWqiouDy+ilpbW6msrOTCr/+cinHF26Bmr9PRxaQv/eCy5nUkMmwGylOnTsVxnLxZnMbGxrzZHhOtNT//+c955JFHCg50IBhw3H777QVndkpKSijJTNXn4mR0106ODjsrZxpSD/ly8BLOjR6cKCjrfo8RQmTloOH1I2em9KWUWfvb3mWkOrSkNCTnlM8Nla+P33vkjIGw6/Ye32OMrLWmNOlmV8IlXJE9PpGJeZT9HTKdZa4MqBw5W76evPeW1ekpqB+2Gc6VXRlcLyvTl6zDcuayiZzfEzlG3SE5c3EBJAgGkRKNzJV1WNaARGXtsnuCV2og6aUgY3fiZM7zACfHFiXXpsfxvewUvOOle6oDx+vuPSadI3en8DPfOE53Kpt3J5VZsah1MOgBhNaIVBcaEEoheo435cz1he8Hxr9JN1g+nxlU5y6ll76H9J2s3F+ZcmWpg5d7ru8hNycqfEJ5aMBVaVzlITIqq4TOOSZzP8L3KbgPkBn4hmTdK2dulCPIGtcHciaP5rOXSYeesRwbtjw5o1rIbWcJtz+59/hwe8rUqRDIzPGhtmX2Edn8Bh55tdYkk4nC/R49/ZvIkcmXzX4sm1835/fCclAmtzfvMlfu6fdkdu1ArjyQvs4ZQN77k838xonCHZuc5y72+WOQYVNjJZNJli1bxqZNm0K/b9q0iVWrVhU895133uHYsWM8+uijkf9Ha011dTUzZ84sOo89Om1LcXi+5tWdp21srBj4MsGbt/xrfOcyO3W7AvGkyxs3PWzjisXE8xUb3tlr+70YeDmDecvIZFh7hSeffJJHHnmE5cuXs3LlSp5//nlqamp44oknAHjqqaeoq6vjpZdeCp33wgsvcOedd7JkyZK8a37/+99nxYoVLFiwgNbWVp577jmqq6v527/926LzZ1clxMN1BA/ecbVdjRUDR6VZs/cfoMCyc0vfuMrjsx++kpnxGcLVMVcIriNZd88ttt+LwbCsxhrM+WOQYR3sPPzww5w7d46nn36a+vp6lixZwoYNG7Krq+rr66mpqQmd09LSwvr16/nrv/7rPq/Z3NzM448/TkNDA5WVlSxdupQtW7Zwxx13xMhh7nxh0fEZjHTU+cWdnkeU+3XTXX9e9i+lHx6Np0Qw7dtfw8rzs2OGfyjsh0cYfni0eb7hhybfz46RzvOzY5TX7MzMtOEXRhjX06ZfnwJuSnw3gcNFCmGa2kWFe8gLF2GkvW4jbfrZifjYz3MLFWEKaE77e0Z9OiVh9bRbFlYza88svwpsphJuoL4zZyfM58FMm9mNbG/mDYwKDxLlhybCr02R4SjiqlU8zw8GOyPRr86guUJe8nawE4thH8J//etf5+TJk6RSKfbs2cPdd9+d3ffiiy/y9ttvh46vrKyks7OTr33ta31e77/9t//GJ598QiqVorGxkddffz1kAF0MdmoyHp6v2bS7zqqxYuDLBG8v/gOrxopBtu6krbs4eL5i43sHrBorBkP6rhiGpedbtmzhoYce4uqrr0YIwa9//evIc9555x2WLVtGaWkp8+fP52c/+1mc0l4yhn2wM5LJNUKzDJyEK/nCXXNCRpWWgeGqNJ+r/kVB78mWvsnWnbJ1F4eE6/DFNbeFFklYBsaV/q7o6Ojglltu4W/+5m8GdPyJEydYt24dq1evpqqqiu985zv86Z/+KevXr7/MOe2fK/sODZJhWpU/6tFa09bZzYSyxNCuUrgC0AjaSyso7TifcfVnGSg9dTe+q3W4szIq0VrT1tHFhHGlY1XTEZuhfVcM/XKsBx98kAcffHDAx//sZz/j2muv5dlnnwXgxhtvZPfu3fzwhz/kD/7gD4r+/5cCO9gpQHhqslgbnMtsw2MSFVsr4gRBeOo62oanf52952ve3dfA/bdf2//sjmmzY9oEmbGyzAJqw0bG2K9NmxzjeKTh9VRG2fhExMIy0+aXnlvYpkfkxMbaseBzrG4pHBvLJN+Gx7ifhmrCT4fLZ9roeN3htB+h2jAHtdE2PkZsLMPmyU91h9Pd4bpwPCN2lqfxpMuOBZ/jnr3rcYuNhXWpKTa2VbGxroq04RlI2vMVW3cfYe2nb8YMjVU0kf1P1PmXYrQ1dCO2oVVjMeKXnm/fvj0vOsIDDzzACy+8QDqdJpEYelWzHewU4EqfmrxcJFzJupVzhzsbo5KESrP24D+StmqsonFVmjVV/5BJFfa/Zckn4Tp8/t6lw52NUclofFf0hEXqoT9/c3FoaGjoMzqC53k0NTXFcgUzWKxRRQF6Yp9YikNpzfnWrmyMH8vAUQgulE/NxnyyDByFoHmcrbu4KKU539Ju+70YDGmdXSID5dmzZ4fCJD3zzDOXOJvGbG/mfTBcpg2jbzg6hPia3unYvHn5iBtWrNop6vzBHp+3NlgV3B+t1uo/K8pX7D7cyH3Lrs16cs3Pb4QRpHla3lJ0c+mwud9UW5hqKlOtVeRSdFOtZU7Lml96eWov4/yMGktJl6o5d7Pq3K8QOR6Ci+0fTLWWMtVUEWqrtLEUXRlqIW107kL23bH1lzY7PJkI149bFp6Z8VPhmS7tGV+gSqOkw97r7uGufb/ujfaa3R/xvETp3SKJWqptPtBFqqkGq+bKWxqf/0D5SrFr/3HuW7EYaT6vo3Kp+dDhq2FYjTWY84Ha2tpQuIhLNasDMGPGjD6jI7iuy5QpUy7Z/ykGO9gpgF2VEA/Xlay9c+5wZ2NU4iqP+478M54a4kjKVwCu8rin+n9lUlaNVSwJ1+GBT9883NkYlYxGNVZFRcVli421cuVK/uVf/iX028aNG1m+fPmw2OuAVWMVxE7nxkNpTeOFTqvGioFCcHb8TKuKiYFC0FR5ta27mCilaTzXYvu9GIxGNVYxtLe3U11dTXV1NRAsLa+urs46/X3qqaf46le/mj3+iSee4JNPPuHJJ5/k0KFD/PznP+eFF17gW9/61qWpgxjYwU4BlDn1bRkQSmkOHm+ynWYMlHQ4POM2lLSzisWipMOR2bfbuouJUooDR0/Zfi8GQ1tn4hJsxbF7926WLl3K0qWBAfuTTz7J0qVL+c//+T8D+dEO5s2bx4YNG3j77be59dZb+cEPfsBzzz03bMvOwaqxCpIb5TbS5iWPS7xUveil51H7L58Nj+s6fGb53P5yGmAOs/OqMyKchHmCaRNihpMwy2d6KDaOz7PxcEybnuLCR0QvRQ9sUhIo7j7xKp7wM2G1Mxg2MflLvQ0bGSP/ps2Nnw6nPXMpuhk+Im3WZ2EbnCgbH2nETXOT5tLzsI2OGe5C+6ZNkkLSzcrqf87sD9sfiKjwEcUSuZR8sDY5UTZAhZ+HopeeC4GbcLlvZX68wQExxpaam7hXuMnDvffeW9CX0Isvvpj32z333MMHH3xwGXNVHHZmpwD2CyceSmlOn22zMzsxUAjqJ8xGWa9uRaOE4MyUubbuYqKUou7MedvvxWBI62zoJ3auCOxgpwD2ZR0PpTUfn2q2NjsxUEJyYvIiVNRqNUseWjjUXL0YbesuFkprPq45Y9ttDK50m50rAavGKsCVPjV5uXAdyeqls4c7G6MSV/us+mSTXY0VA0d53L7/dz2pYc3LaMR1HO6+/cbhzsaoZEjfFTbqeSzsYKcABacmo3TUkX55Imx48q4X8UOx4SYGbcNj+lHplZXS1J5pY/b0SqQcYMOKsuHJq27j0c37GjXDYZj5NcNBmH5xImx0TCPYiHARIhm2EdJ5NjsZPztITlXMZXrnR8ice2D6scmz4TH3mzY8pt8d04bH9LsTYcMTFQvIvL6JNPwMJZJhGx23q3C4CN/Ij+snUEJSP+16ZjYey7MRynuei529KNLvTZ4NTbE2OoO26Yn2q2Oer5Sitv4cs2dOybs/kdfv43qFd49uGx0Tq/ob+Vg1VgGsGiseSmdsdux0eNEo0WOzY5tmsWghOXPVXLStu1gorQObHdtui2Zo3xXWaCcOdmanAFaNFQ/Xkay82aqx4uBqnzvr3iFt1VhF4yiP2w5s7EkNa15GI67jsOq2hcOdjVGJVWONfOxgpwC+0vQ/Co4YyUcuVS9yLXmUmirv/xe+XP4DH6H3MtU+eSvje8vrK8WJUxeYO2sSTk9YhWLbV15UdHNa3gz3EBEl3XTnLo2l52b4CSdi6blrpH0jPwnDg6+59DwZ3i8yYTV8JJ9UXs81Fw+G1VjGUm0zangUplrHjGJuqp1MtZUZPiLKOb4ZddzEVJN0d4XrJ2ksPY9aiq58hRKSU7Nu4pq6D3F98/4Xq7aKSEdGIY9SK5nhGMyXZWE1WfT/j6CfcBEnahuZN3sajqmWjb5gkccXy8h+QftWjTXisfO9BYiyS7D0jdZwvrWzaLMICyAEF0qmoEd45z4S0ULQUjENPUa/XAeL1poLLe2234vBkNaZYJCrsYYuqyMJO7NTALforxsLBGqs2xdbNVYcHO2zrHE7njmTZonEUT6f+nBzJjU88XdGM67jcPvN1w93NkYlQ/6uGKMDlsFgZ3YKYKcm4+ErxeGTjbb+YuAjOTJpsTVQjoESkuNzb7N1FxNfKQ5/XGfbbQxsnY187MxOIQpOTUbZvJiHD3apenG7I5eeF328+eVinpA7EyHoSvkIJCJT7qhoGHkUvRTdXGpspA0bnPyl6ObSZNNGxzAYNm2APPN4o2mVGuELurrC/64nErCQdCXGgeuEzJZ6bHp6MG1eRN7S+HAFm9PsZjpvqblRnvBCcIgyn/ZNGxnD5iZv6XlJeCbG646w0THr29doCalEedCUzPt/qZeaR4WHyLPJKTZ8ROGl4yLqejHCRYDgYipNnyt2RkQ4iBHMkKqxrIFyHOxgpwDFG+lZABxHsnTRrOHOxqjE0YpbLlThWzVW0TjK58bDWzMpq8YqFseRLF08b7izMSoZ2nfFYJePj83Bjp3vLYC5YsUyMHxfceBYva2/GPhIDk78FL5VxRSNLx2OLliBb6Oex8L3FQeOfGLbbQyGtM5suIhY2B7VYrFYLBbLFY1VYxXAyXOZXohijWLM0y9z+IlB++WJ2t/7Ne24DksWhNVY+bVj2JTkHWFYhRRtwxOBoWMXhh+dvHASppO/SL87xvEJQ61i+NkhE07CARZ3Hka7kFuoPD87UTY8EX54TL87eeEkjP1hC5r8tHk78joW43qu6cfHsOnJ8+sT4WdH+xrpe1x/eHuQ1kWqsYoNfxBlk5NngxN1fFR4h6jrR+2P/pp3HMmShXMij8tcMGL3YGcPRtfsQ3HvikFibXZiYWd2CuD71m4iDr6vqDpca6fDY+Aj2VtxM76N3F00vnQ4fNPdVo0VE99XVB08YdttDIb0XWGjRcTCDnYKMUZHwINGQFlJYsw2qsFS6ncRPRVnMRFaU5LqQFinePEQUFZq220s7LtixGPVWAVwinTJbwlwpGTRvBnDnY1RiYNiYcdH+UvhLZFIrZj38Z7hzsaoxZGSRdddM9zZGJUM6bvCqrFiYQc7BfCU6v/BKPrr8RLb9Ay5X54oo53etOcrqg5+wtKb5uD2p8s28m/6DdF5j2aRNjxmbK282FkRfnWkkTZjZZk2PKbNjmfGyjJsSEoMm52SwA+Pj6S6fAm3dr6Lk5MnmTBsckybHSMQocjzy1L4AciLjWXsN210Uka6kNelvkgYNjlm2usOX8E3/eyYNjtK40uXwzffy6J9b5McbBRqs72ZLzNTVRbpZyfKhqawjU/+/bsUfnXC+z3fp+rAcZYumY/rmjZP1kanEN6QmjzYpedxsFMXBYh6QVj6RgiYVDlurH5ADBLNJL95aJ2UXSEIrahoPoOws2KxEEIwaeJ42+/FwNbZyMfO7BTAqrHi4UjJ9ddOG+5sjEocNPNTNeRPVVmikFox++T+4c7GqMWRkuvnzBzubIxKrBpr5GMHOwUwXeaHiHpgLrea63KHnxjEUnXP99m572PuuHl+ToC84sqXf/ki1VqRBTDqxwmrlUwj1/xwEuHwD3nhI0y1lTnNXWKEj8iEk/CQ7E7cxLLO93BDaqxwwAZTrSUTbuF03tL0wvfDfPKjlp6bx0d1/ebdLDHVWEb4irxwEeaKIQ2+43Jg6VqWVG2Mbn5m+zXro8jwEMJUa+WpuaLSRYZ/GPRS8/zreZ7Pzr1HuOOWhXnRTi49V9YLt+C74lJjBzuxsFMXBZARLwRL30ghmDVtEnKMNqrBINHMVE1Iq4opGqEUVzUcR9igjLGQUjBr+hTb78XA1tnIx87sFEBaNVYspJTMmTV1uLMxKpFo5vgNaLv0vGikVlx96vBwZ2PUIqVkzjXThzsbo5IhfVfYmZ1Y2Ld5AYZ0avIKwvN9tuw6MsQrFK4MPCTvJm/Fs04Fi8Z3XD5Y8SV8x37DxcHzfLa8v9/2ezGwdTbyGfbBzk9+8hPmzZtHaWkpy5YtY+vWrf0e+/bbbyOEyNsOHw5/za1fv56bbrqJkpISbrrpJv75n/85Vt4GNTV5yQOxFekSU8jCW9T1I/Pf//FSSq67djpSOAWu50Rs4fwKY0O4xmaUT7oRWyK8OUljS4Q24SRDW97xrrm5hbdkMryVlkJpKbK0hPnyDLK0BMrKspssdcNb0gltTjIR2mTCDW+ODG1mGzJRxuYbm2ds3caWMrYuYzOPT3d7oc0zNuWr0KZ9P7wpDZ7PNcf3wkBePFKGN/P5lOZmHl/c8xu9hc/Pf97N9jtQV7n9tL8+q0Rw3ZyrM/1eVP9SbH8Wcb1RzpCqsWwg0FgM62DnlVde4Zvf/Cbf/e53qaqqYvXq1Tz44IPU1NQUPO/IkSPU19dntwULFmT3bd++nYcffphHHnmEvXv38sgjj/DlL3+Z999/v+j8WTVWPKSUzJo+yeqxYyDRXM0FpFVjFY3Ugc2OtXeKh5SSWTOm2H4vBrbORj7Deod+/OMf8+ijj/LYY49x44038uyzzzJ79mx++tOfFjxv2rRpzJgxI7s5Tu+U/7PPPsv999/PU089xaJFi3jqqadYs2YNzz77bNH5s1OT8fA8n807Dtr6i4GH5C2W4GHVWMXiOy677v6yVWPFxPN8Nr9XbdttDIZlNZad2SmKYRvsdHd3s2fPHtauXRv6fe3atWzbtq3guUuXLmXmzJmsWbOGt956K7Rv+/btedd84IEHCl4zlUrR2toa2qA3ErTvq2xwPN/38TOrPbxc2fNR/crBddKeF5J7rt8ja63z5J589MhKadKZhqWUzjYypVSfsq9U1nbGVyobsC5cJtV3mfyccvj9lSksa62RUrJo/tUIITJ593PK5OeUqbccfZdJ42XyqJTKyr4h+7myyi2TzuQ9LKs+ZY3SOb/33Btf996njKy1Ju0H3gW0hp5V0rmy0uAp0bes82UfgYdEoriRU9l5HR+Jn2mmvnDwMypIXzqorOz2yk6O7CbQmY5NJUvQma9Pv6Sk9/fSUrQQaECXlQV/hQjUZxCobHJkUVqaLzsOomcpveuG5Z7o7j2qOwiW5fcszU9mVH6ATibRuXLmI0Ynk9m8qxzZTySz5fDcBEIprvtwG0oG82Ia8GQiK6dF5tpAOjOYVJAdWObdm9D9y9yPXFkFWyDr7DOWK3u+HsCz1/u8eV7Os5dpN7ny4NpTb1+gjH7B832klNy04Nrssv2R1+/1ypem37t0ZRpSp4J2sBOLYRvsNDU14fs+06eHrf+nT59OQ0NDn+fMnDmT559/nvXr1/OrX/2KhQsXsmbNGrZs2ZI9pqGhoahrAjzzzDNUVlZmt9mzZwPw4dFPADh09BMOZeR9h45z9PgpAKr2H+VETT0AO6sPU3u6EYBtuw9S33gegC079tJ0vhmAze9W0dzaBsDGd/bQ1tkFQrBh8066utN4SrFh8048pejqTrNh804QgrbOLja+E8T8aW5tZ/N7VUEdnm9my/v7AKhvvMC2PR8CgtrTTezc+xEgOFFzhqoDHwNw9Hgd+w6fDMr08SkOfXwKhGTfkU84eqIehKTq4HFO1DYCgp17j1F7+hwg2LbnCPVnmwHBlp0f0nShFYRg8/b9NLd1AIKNW/fS1pFCSsmu/cfp9hSegg3vVOMp6Or22fDOXhCSts5uNr53AISkuf0im98/DAiaLrSzZc9REA7159rZVn0ChEPtmVZ2HqgFITlRd4HqI/UIITlWc579x86AcDl04gKHTlwA4bL/+HmO1raAcKn66CwnG9pBOOw63ETt2U6QCbYfOk9Dcxpkgq0Hm2lqUyATbN53geaLDjglbNrXQVu3C04Jrx7w6FJJPFHCa4ddPJGkSyV57bALTintfhlvnJgATinNfhlvnZ4KiQRN6XK2XpgJiQQN3gR2NM8AN0GtP5ndF2eDm+CkO4tqeT2yrJQWt5JDFYsRpaUcmXAjRybciChxOThjOR9ftSSQb1jNqVk3IpOSvYvuo3HejcgSl/13fZHzs6/DKUlw5H97lI65C3BKEpz4998hde08ZMLl+JNPo6+eheNIzv7oJ4jJkxHl5XT9z5cQ5eUweTIlL78MgJg1i+QLL6AAZ8ECJv3N36AA9+abmfZf/ytpIHnnncz4/vdJA+X33su0P/sz0sC4deuY8o1vBL//4R8y4WtfIw2M/8pXcL/yFVJA4mtfw/nDP6Rbabz/609Jf+5BupWm9d/9KRfvXIXv+bT8h/+b1huW4Hs+NY//R9rnXI9Wmg8f/hM6pl6NVpod9z3CxfIKJp+tZdvaPyaVKMeXCTbf9kf4MkGXW8brs78AQtCeqOANdzkIQbOYwFvuUhCSJn88WzvmgZA0pMax4/w0EJLai+PZ3VABQnKypYzqxgkgJMfOORxoCOxzDjUoDjUokC776xRHG7pBulSd7OTk2TQIya6PLlDb1AVCsv1AAw3nL4KQbN17mqbmzqA97T5Bc1sqaE/bP6KtsxsQbNh6kK5uP2hPWw/iKU1Xt8eGLfsyfUSKje8GcnNbJ5u37wchaLrQypZdhwBB/dlmtu05EvQR9efYufdo0J5qG6k68DFSSppbOzjwUaaPOPYJh45l+r3DJzh6og6EoOrAsQH0e/toOt8CiHC/9/Yu2jo6Adjw5g66Ut14vs+GN3fg+T5dqW42vLkDgLaOTja+vSvT77Wx+d0Pevu9HXsz/d55tu0+AEDt6UZ2Vh8C4ERNPVX7P8r0e7XsO3Q805ef5NDRkzl9eW2mL/8op0yHcsp0oJ++/INQmTq6LmIZ2QjdM8weYk6fPs2sWbPYtm0bK1euzP7+F3/xF/ziF7/IMzruj4ceegghBL/97W8BSCaT/N3f/R1/9Ed/lD3m7//+73n00Ufp6urq8xqpVIpUqjfaT2trK7Nnz+ZMzWGmXTUl+yXgODL4QhACR0o830f0yJ6PlIFxbr4skVKQ9jwc6WRl13EQoleG4AsjV064LlprPM8j4boopfGVIuE6KKVRSuG6DkoFX4qm7CuF1hrXkcGXi9Y4jhNdJhH8f5kxOA7J2fIJ0p5Vbq7LAAAgAElEQVSPIyVSBF+friPxfMWb2/Zx38pPkXAdPF/hOpkvcD/Iu87MzvSUw/c9o0wykLXCdRyUn0ZpsuXQSuWUKZiA6Pkyc6TE9zwQZMqkENrDkQLPV0E5hOqVpcBLp4IyicwxOo0UgrSvcKVA+CnSvqYnJFW6+2JW9hQkVBc689WfcEB1twf5lcHMgLqYwpU6kLXATXUGMgJXaPyOzsxsjmBz1w3c07mbEtL4GWNOebYxmNXRQbDQrnMpBBqpFZ50SZ/tRGqF77gI5XPx9Dl8N4H0PYTWtJxtRabTCK3wkyW0nTqL0BpVWopIpWhubAlmcC5eDF6YWgaylFBSQnNGFskkuquLjhwZx8FzXXQqFczmOA6kUgjXBSnR3d2UuC4iI5NIMA4gnQ5mdpRisudlZTyPSdMng+8hfB+dLGHy1HKEUqhkCcJLM3HWVPxEEul5CK0on38NWgt23/swS99dT8WkzIyZTOCoNMnpE/CES0J7aMCfeTUJ/IwBtsSdMil0P1T5uOA+9dyzsnG4MpjZ0RrcsorsrI4jQSUmZGQRzOQkyjPPm0YIcBKl4eeNRK/sK6SbDJ49z0c6Ekcmsu1JCEFaiWycOc9XuJkZsGx7QoTbk8ZoT27QL2gdtCeN0UcE5Xrz3Q+4d+WtlJYkwn1EJk7gwPs9dWn6vYwc9Hu98sD7Pae4fi9mX97S0spV19xAS0sLFRUVhV9aMWltbaWyspILO35Cxfiy+Ndpv8ikFV+/rHkdiQybcnvq1Kk4jpM349LY2Jg3M1OIFStW8Mtf/jKbnjFjRtHXLCkpocTwaAuQzEy1OzneZ3Ptg9xc2Y2WEzluSYuRhRBZOWh4Th+yzMYqzJV73ZjrkEvzyDJlBhn9l1Vn8thzvM7KjpTccfOCbKeW6OP43t8z5RBmmXQgk1O+nvxKmV3Q0VMmrVW/5XMdCRmVRDYwqSYUpDRP9oPjEzm/JxzRjwxkYsYmMtXRs4gnK2cCkQa/58iZenEyvymtWZ6sIdEZ+Ch2Mvs14OQY3uYGCXWVh5/Z5/i9noYdr9fPsdOdCsk9HqJl5gNAQDC4geCt1yMrFZJ1zwdDrpxZEQWA56E9DwFoL8frsef1mlync/wvd3f3KYuc/IruFEIFKjOZW4507/Gul0YLwU17NlLSfRFBeaZu0tnyJbTXK2d8PktAZrxp596PvPvU055yFhPlOqV2cozxnZyb7+Y8JwWft4xqIdxfFJAzx/ffnmSvLPPbUH4fIVBKc8eti0hmvG+PvH6vrz4wqt+juH4vZpncobQTG6wqyqqxhpZkMsmyZcvYtGlT6PdNmzaxatWqAV+nqqqKmTN747msXLky75obN24s6po92NVE8ZBSMHnieFt/MZACJjudw+8TYhQitKay+UxeqA/LwAja7QTbbmNg62zkM6zLFp588kkeeeQRli9fzsqVK3n++eepqanhiSeeAOCpp56irq6Ol156CQhWWs2dO5fFixfT3d3NL3/5S9avX8/69euz1/zGN77B3XffzV/91V/xxS9+kd/85je88cYbvPvuu0XnLzDyG+hDfJk72KjReHQwoIj9g4y9lZO/tOexcUsVa+9emjPzE5Ud8/8VVx5hpPPOlkasqrzQYcYZ0kg7RuyunJkVAG2k0aXhdMLY7xuxvbxgZjGtJW+0zuezZVXZ2QcAysvD2SsNx8pySsOrt9zScKwvpyRcfseMreUUN7wyq6/YtShJI50Xa8uIfWWmtcp/Pjw3wY41X2XFmy+RN09rvowcJ2K/UR/SLZzOi1Vlxr6KON58/ouNlRUZ+y76/qY9j43v7GHtPctImLHdIhnbL/u050UfdKno11daEeePQYZ1sPPwww9z7tw5nn76aerr61myZAkbNmxgzpw5ANTX14d87nR3d/Otb32Luro6ysrKWLx4Mb/73e9Yt25d9phVq1bxD//wD/yn//Sf+PM//3Ouu+46XnnlFe68886i8+eaHaJlQLiOw+o7bgpN1VsGhovi0+NrcNvs8t9icTyPpe/9CsfzyB9OWaJwHYfVd37K9nsxGNo6G6xjxrE5MB02A+WRTI8hWMuZE1RUTBjgWcNcjYO+jUWeH+m4zbheXv6K3W9GuS6czp9pMY5XxlyC8grv98MzKXid4ct7xmqMdHg/qY5w2ly90Wmkm5vD1286F85OY3h/d1P4/M76llC67VRjKN1Sfz6UvnCmNZQ+1x425g//N2gz0kbt5GF+VZmtarKRnloRNsCcPKMylJ50bdgGr3LujFC6ZMa4UDo5M2yIKa6eGUozeVI4PX58OF1m5LjEuF7SOD4R/v84xkyfY8yciHBa5M0cRURJj4yCHvUyNo8v9oU4Nl+gPbS2tlE5fd7QGCjvfH7wBsp3PG4NlC29FDc1WWxjv8SDo+FWc+UMJtKex4a39rDuM8t6DfnMy+eptaIOMCmc3/yrGb8UPelk5if88jLtRLQyBlsJ41ky44Ylg/1pJXjt3Dw+V36QhOitU9EZHjw5Ze2htCwJv8wS5eH8uaVhxU4iGW76phorqmMwh7pmS4nSWprHm/NYKkJtpfsYbHtugvc+9xh3vfb/UupEqK3y1FSmWstMh2skbzBS9OAkvF9EDl6iBjNFqrX62J/2PDZs3sm6++6IocYa2wytGotBGihfspyMKuxgpwB2OjceruOwdvWttv5i4ArNZyd/gnvRhjwoFsdLs+KNlzKr0PJXV1oK4zoOa+9eZtttDIa0zqzNTizsYMdyWchdpmkpDlfYgU5cHC9KoWYphG23owFrsxOHsTnEGyCeqWqwDAjP99nw1h5bfzHwdKDG8mzTLBo/o8byXauCiYPn+4EHd9tui8bW2cjHzuwU4PJOTRZpIzPof3eZbXpypkZdN8G6+24P6q/n/xZYqp45oGAyf+q1uPqJtAgqdmxh1pcbLl/e0vQ8Gx7DANoLVg+5Gj43ow73ohvO9DjD4HVc2ODZLQ/PaHjl4Rd+otyw2TGWoidLjePD9s15YUmjqitqaXrRNjtRz6cQOL7HXa+/gON7CGGoscy27BpdX54NT5FLz4u12Sl2qXmkTY55fNTSdXO3wHVd1q25c4D93ticHeiPoVVjWaeCcbCDHctlwfN8q/uPiaflqG6YSkjqr1nMxfGTKGu/wPRTBweweu/S4LvJkOdoS3HYdjsakAxOKTM2Z41Hc5962bFTk/HwfJ+NWz5g3X23h9yqW6LxtOCNMzP5XGU7ibz5kZHPyRtWsmPN43RUXJX9rbz1LKvefJ55H22/rP/bdxPsWPMId73+wmX9P1cqnu+z8Z3drFtzp223RWLfFSOfsTnEGyC2wccj4bp8ce1KW38xSEjNQ1efCi07Hy2cvGElb37pO3RMmBr6vXPCFN740nc4ccPKfs68NLhemnt+9zNcO7MTi4Tr8sUH7rLtNgZDWmc9aqzBbGMQ+1QXYHj9LQ6x355iG0Be3YicXZq2jotMGFeG6Llu0eEnzP39/rsMEX5IdJRNTeHL5RMxGIl0gmg6MQz2aw3taYfxCS9cBMNmR4wPp522sA2PUxZ+4ScMJ2SmH56kYcOTSBjhJ9Lh+jKrRwnJjjWPZzLXh/2IVmxf8zizj76P1CrvdhY7tDP90ghHoBF0jp9IeXszwjVyaL6MEoaH5Tw/PKZNj2H0nGejY9rwRPjpKdavTpQNTwwbHZM+2+1ArzfGGdp3xWAHLGPzXtqZnQLYqcl4eL7P1vf32/qLgacF756eiKdHV4d05prFgeqqv05YSDoqruLMNYsvWx58x+WDFV/CH8oI1FcQnu+zdcc+225jYOts5GN7hQLY6dx4JFyXz68pPhaZJVBjPTj3HHSMriguneMnRR9UxHFxcP00q9/4n5mUdSpYLAnX5fOfXTHc2RiVDO27wvrZiYOd2SmA6iOysiUapTTnm9ts/cVAaTjf5TLaqq68/cIlPS4OSghaJk5HjVGbhMEStNtW225jMKR11uNBeTDbGMROXRTAN32jjGhGjo2Pr3127T3CfXctRWZtFwbupyfIXpF+eSLTg/v3xX8WmLGzIgKVZgKRKgV7To3nM9O7kDKnDKbR7QQj8GS74XenPex3J1lRXjBdOi4c2jNZFrZpKU2HA42abvtmnTrIuNazdEyY0ndnqhXj2s4Fy9BjYNqQSMMmR7gS7ST48NbPcsf2/4Uw/OaIpJFj01NwhI2OkKbNjmHzY9ro5AXeHOrYV+bh0cf7ymdX9RHu+/RSpFleS0FG17tibDI2h3gDxKqx4pFwXR64ZzkJ63q+aFwJ989vx5Wj6+taasWqN58HRD/G2YIVbz6PvIz+dlw/zap3X8b17WqsOCRclwfute4i4mBXY4187GCnAHY6Nx5KaRqbLtj6i4HS0NjhjDo1FsD8j7Zz/6//knFt50K/j2s7x5pf/yVzL7OfHSUE5yZfY9VYMbHtNj5DW2fiEmxjDzuEL4BSo8/XycC5fGovpRQHjpzk7hW3IPvTDxdYuh4kL/VS9ailueF08WotM9yFkXaMpe/GtLdOZNRYPhxsclg9KxWOWOAZS9XNpeiVFaG0ayxFd8eFZztKKsNqsJLxraF0aXlnKF3eGlZjhZV0kMr8XfTRdm44+j4nr1lM5/hJlLdfYMapg7hGBUaFn5CGGso1lsLLhLGU2xVox+XjhStY9sFvkAnjiiVFho8w1VSOmTbUPObSc0ONlb/U3KyBSxwOougBnwja7eFMu7WfwUUxpO8KG/U8FnawUwAbATgerutw36dvG+5sjEpcBz5zvd87ehiFSK24unb/kP9f1/e4c9f6If+/Vwq23cbHvitGPmNziDdAruyZncuHUoq6hiZbfzFQGk63iFGpxhpulBA0XjXPqrFiYtttfIayzoQQg97i8JOf/IR58+ZRWlrKsmXL2Lp1a7/Hvv32233+38OHD8ct9qCxg50CWN11PJTSfHzytK2/GCgNx89JO9iJgRYONdcsQeepiCwDIWi3dbbdxuBKt9l55ZVX+OY3v8l3v/tdqqqqWL16NQ8++CA1NTUFzzty5Aj19fXZbcGCBUX/70uFVWMVwE5N5hLVQHobu+s63L3i5ojLRVwvqu+I1DubX1rFLk03bEKkGX4inI7u6goHSBCZ/Qlg9ULQqfDScEqNpa2mDU/FhHB6omGz02HY7EwK2+yUTgqfX94SPr+zLWzzMq4jrGcrVutmLmw2047R9vLSxlJymXSQaO44uCG4dSWGjY1ps+OaS9GNrtA1l5abNjqFw0Hk7S82PESx4SOKJv/8oN3eMsjrjk2u9HfFj3/8Yx599FEee+wxAJ599llef/11fvrTn/LMM8/0e960adOYOHHiUGWzIHZmpwB2OjceSik+OdVg6y8GSmk+OefbmZ0YKCGpm7YANUYNMAeLbbfxGVoDZRHPkWB2K26g3N3dzZ49e1i7dm3o97Vr17Jt27aC5y5dupSZM2eyZs0a3nrrraKLeimxvUIB7HRuPJTS1DWcs/UXA6XhdLMd7MRBC8mZKfPQdrATi6DdNtl2G4PRqMZqbW0NbalU3/OzTU1N+L7P9OnTQ79Pnz6dhoaGPs+ZOXMmzz//POvXr+dXv/oVCxcuZM2aNWzZsmVwRR8EVo1VgCt9avJy4boOq5ZfvoCPVzKuI1h5XRKduhh9sCWEozxuO7RxuLMxagna7ZLhzsaoZDS+K2bPnh1K/5f/8l/43ve+1+/xpmGz1rpfY+eFCxeycOHCbHrlypXU1tbywx/+kLvvvjt+pgeBHewUwLfTuUXQ+9D7SnGipp55187EyTrsKPLL51Lb9ET55clz51/YRsc0Ccr7dxHZyyPjl8dXmpONKeZMLMfJtRNSho1OqeEl2LDhERMrQ2m3o7ANT+nksJ+ecS3tofTFdsNG52I4HEXa+LI151bMlmT66THTiWS4a3JLwzY0blnYBkcmHZSQ1ExbyLWNR6DMuGKpkU4YNjiGHx3hmH55zHARZtq08YoIHxEVDqJYG51I1cRAwkX01W4tA2FI3xWD9YKcObe2tpaKit52X2LatWWYOnUqjuPkzeI0NjbmzfYUYsWKFfzyl7+MkeFLg32iC6DzHN9ZBoLWmgvNrbb+YqA1nO/wBxu5bEyihaBl3FVou/Q8FrbdxmdI6+wSBQKtqKgIbf0NdpLJJMuWLWPTpk2h3zdt2sSqVasGnO2qqipmzpwZv9yDxM7sFMA1vaxaBoTrONx+643DnY1RiesIbr9uHLq7LfpgSwhH+dxyfPhsAkY7tt3G50p/Vzz55JM88sgjLF++nJUrV/L8889TU1PDE088AcBTTz1FXV0dL730EhCs1po7dy6LFy+mu7ubX/7yl6xfv57164fP6acd7BTAqrHi4SvF0eO1LJg/O2c6/BKHp8hTMw0y/ETkUnUDc6nxYNVaOWqso3XtLJhWFlJj9RclPYtv7DfUWFzsCiWTnWE1lroYXnqe7pgUSld0hM9Pdxnnnw+rvcyOxchtntqqrDSsFiodF/7KTJSHz0iMC6edMhdfSI5PXcz8poOIcmPpvhn13FRjuaWF03lRzg21VZ6aqsil55HhIszdg1dbmfTdbi0DYWjfFYONb1X8uQ8//DDnzp3j6aefpr6+niVLlrBhwwbmzJkDQH19fcjnTnd3N9/61reoq6ujrKyMxYsX87vf/Y5169YNIt+Dww52CmGnc+OhNRe7um39xaSr2yc/epQlGkFXoozB+6AZo9h2G58hVWNdGpudYvn617/O17/+9T73vfjii6H0t7/9bb797W/H+j+XCzvYKYBzhU9NXi4cx2HpkuHzlDmacaTg1usmQro9+mBLCEf7fOr0zuHOxqjFttv4DOm7wgYCjcXYLPUA8X2rxoqD7ysOHD5u6y8GvtIcONmKb32dFI0vJIem34Y/RjvzwWLbbXxsnY187MyOZYQy8PAUweGXe6l6xAvUtOHR4ePN3OVlx8n8IhRIBxJlkGOzI4xpcq0MGx3fsIrxwvvFlLANjuwK2+AkusLnj+uaEr6csdTcTxv/3yDRFvYT5BnHm0vLyyeUGemwzUxJ5bhQ2il3jXQChEQkZCCPN2x2EsmCaeGG/7+5FD1/qXlE+Igom51ibcoug42OZbQy9DY7VwJ2sFMAx7FfiHFwHMmSRfOHOxujEkdKlsybDH5X9MGWEI5WLD6/d7izMWqx7TY+Q/quGCabndGOfZsXwDdXuFgGhO/7VB04ausvBr6vqD7aZNVYMfCFZO/UZVaNFRPbbuNj62zkY2d2CjFGR8CDRgjKSpO2/uIgBKUl1jA+FhpKvYsx3FdbANtuB8OQ1plkcPMUY/NjwA52CmB9TcTDkZJF18+5zP/lMtv0mDYX+QcUlzbdrBj7e67uOLBo3gzwjaB8ifD/F4bfHW3aGJl+P4wvT3FV2E9Oojtsk6O98PkTvGkF/580pvGTZWGbF687bBNkHj++MmwzU2aEryiZFPYD5I43bGYqK3CAhfoUVI6HcWEbH0oN77AJY3+UXx0jXESeXx3TZivKr06kDc/Q2+gMTbu9MhnSd4VVY8Vi2N/mP/nJT5g3bx6lpaUsW7aMrVu39nvsr371K+6//36uuuoqKioqWLlyJa+//nromBdffBEhRN7W1VW8DYRnpyZj4fk+u6oP2fqLgecrdn1Yh2dXdxSNj2TP+Fvwh79bG5XYdhsfW2cjn2HtFV555RW++c1v8t3vfpeqqipWr17Ngw8+GPLEmMuWLVu4//772bBhA3v27OEzn/kMDz30EFVVVaHjKioqqK+vD22lZiDAAdBfRFdLYYQQTJpYYesvBkLA5IoyW3ex0EzymrF6rHjYdhufIa2znpmdwWxjkGFVY/34xz/m0Ucf5bHHHgOCeBqvv/46P/3pT3nmmWfyjn/22WdD6b/8y7/kN7/5Df/yL//C0qVLs78LIZgxY8ag82fVWPFwpOT6ubOGOxujEkdKrrtmcr4ayxKJg2Z+1yfDnY1Ri2238Rnad4W12YnDsA12uru72bNnD3/2Z38W+n3t2rVs27ZtQNdQStHW1sbkyZNDv7e3tzNnzhx83+fWW2/lBz/4QWgwNFA8z05NxsHzfHZWH+KOW2/EdYfL2PZy2/QU6RdFF7bp6Ul5vmLngRpuv2kmbsHlrGE1V54fnrxYWoZazLC5EcY0fNJUo+VVVzh6sZMM27iUNocDmaY7w2pk80s4WRG2oSmfFvYLVDI57DcnURm2wRGVFXhIdsuFLFdHcM2Z3GQ4LRKGXx3X8MvjGDY+wvSzE2WjE+VHZ/htdExGRrsdndh3xchn2IZ4TU1N+L7P9OnTQ79Pnz6dhoaGAV3jRz/6ER0dHXz5y1/O/rZo0SJefPFFfvvb3/Lyyy9TWlrKXXfdxdGjR/u9TiqVorW1NbRBrxGm76ush0zf97NB37xc2fNR/crBmyLteSFZ67Cstc6Tg3z0ykqF5Z5GppTqU/aVyuqTfaWySyQvZ5mkFMy4ajJCcMWUKd598rNyqBx+vhyUSSEFzJwyAa109veevPu+yi5J93wdklWunMmvp6BnBbunRFZOK5EN5ZPWEq2DsUwaB01GFsHLPFdWCLzMS14Lge9kfhcS3w0GA0rmyI6Dyspur+y6KDdzrptAZVzt58q+k0BlvpZ9J4HKDAY86aIyL35P9MppHASamfocPpky6d6yBjKZ+wRpP6gApTVeSFa996wPuec+Ze+N31cfoUbAs1d8e5JSMHPaFNvvxSjTkGqGrBorFsM+n2V+4WmtB6T/fPnll/ne977HK6+8wrRpvStFVqxYwVe+8hVuueUWVq9ezT/+4z9yww038N//+3/v91rPPPMMlZWV2W327NkAfHg0sB06dPQkh46eBGDfoeMcPV4LQNX+jzhRUw/AzupD1J5uBGDb7gPUN54HYMuOvTSdbwZg87sf0NwafPFufHsXbR2dAGx4cwddqW4832fDmzvwfJ+uVDcb3twBQFtHJxvf3gVAc2sbm9/9AICm881s2RE4UatvPM+23QcAqD3dyM7qQwCcqKmnav9HABw9Xsu+Q8cve5mklOw/fJzutDfCy3SwnzJV5ZRpN20dgTfgDZt39t6nzbt6y7R5V6ZMF9m4pSpTpnY2b9uXKVMLW3YFea8/28y2D4K81zacZ+f+E0GZ6s5TdfgUUkpSaY+DJ84GZTrRxKETTQDsP36eo6eCPFYdb+XkmSBfu462UHsh6My3f9xNQ0vQOW89kaSpI2jib9VPpbk7GGy8UXcV7X4wE/Pahevo0i4eDq85d+Dh0EWS12d/AYD2xATenPUgAK3jp/LezV8C4MLUa6ha/YcAnJsxj2O/9xUAzt9wM8fX/qtAvm0VdZ9/OJBX30/juuD4pjUP0bTm9wBoXPcHnF99f1Afn/tDzt2yAoCP7v4CTfMWB3Ww5l9xdkqwSmj3bV/gwqSrAXh7zoO0lAazum/I2+iklDm6kY3O7XQpB08LXjs3D08LunzBa8eD2aL2bsmmD4P6au6EzUcCuamlm60Hg+eh4XwH2w8Ez0xtYxu7DgbP0sm6C1QdrgPg6Mkz7PvoVJDHj+s49HHw+74jNRw9cTq4TweOc6L2DAA79x6h9nRwX7ftyXn23t8X/ewNQR8hpSTV3c2BIyeDMtl+b8Bl6oixAGZwiEFsYxOhe4bZQ0x3dzfl5eX80z/9E7//+7+f/f0b3/gG1dXVvPPOO/2e+8orr/Bv/+2/5Z/+6Z/4/Oc/H/m/vva1r3Hq1CleffXVPvenUilSqV4bidbWVmbPnk1jzRGuumpK9kvAcWTwhSAEjpR4vo/okb3gy0j2KUukFKQ9D0c6Wdl1HITolSH4wsiVE66L1jorK6XxVa+slMJ1HZRSKKXzZF8ptNa4TiCjNY7jXNYy+b7ivV37WbV8Ca7rjNIyycL3ybhn+WUKvu4TrhOUyU/3lkNrXCl6ZcfB99KZ2RbNex8cZcWn5lCSdLNlksIPZBHYB3jdFzNlEsGMkN+JlALP10gBMt0eyBKkEKQ7LmRkSPvgdrUgRDDz4QoN7W14SNyMesw730ICHw14OLinT6EQKOHgao9UYztKOrjKQyFIXUjjKA8lJFpI/POtKOmghcDxPVJdaRAC6XsoGdSbVD7KcUFrSkoT+I6L0BqpfNyplQitkFrhS5fSqUkkGk+6SOWTuOYqPBwkKvj9mtmgNe9fnMOyslpKM0vXPZ0p3/ipeAoSTjCz45dOIeEIlNYoBW7ZxIyscR2Jcsoy90ailEaLBK4jM88euImSzLOXed4yasrg2QtCfoSfPSf8vPkqoj3JIe8j0PDerv2suO0mSkqStt8rokytLW1MvWYBLS0tVFSE3SZcKlpbW6msrKT52GYqJoyPf522diZef99lzetIZNhsdpLJJMuWLWPTpk2hwc6mTZv44he/2O95L7/8Mn/8x3/Myy+/PKCBjtaa6upqPvWpT/V7TElJCSUlJXm/JxJB9eS6As+Nbuvmym60nHDdWLIQIisHDS9Xzrw4pKTHRi5XzjWcC8mXsUxSCq6fdw2OI0N5H11l0v2Wrz85v0xOryxyygSgVa+cUw6lNNfPmU4ik5+eMmnlh8rnmnLmZes6Iuf3XDkrknDIfuAlZE9MLkjk2AEl8Ht+zg56JBqpA1WCRCNVr+z0yFqBVvgEg5ke+pWzMb0SODnxvXqu1yNLglkpN+d3l97rJIRCAfOT5ygRfnamPiFyypepAyEgkakbKQSZ25SRM79LgaRXFpn7M7Bnrzcq9WjqI5RSXD/vGtvvxSiTDS008hnW1VhPPvkkjzzyCMuXL2flypU8//zz1NTU8MQTTwDw1FNPUVdXx0svvQQEA52vfvWr/PVf/zUrVqzI2vaUlZVRWVkJwPe//31WrFjBggULaG1t5bnnnqO6upq//du/LTp/0q7GioWUklkzpg53NkYlUgpmTZsEKh19sCWEFHB1oi36QEuf2HYbn/Zf4PsAACAASURBVKF9V9hAoHEY1rf5ww8/zLPPPsvTTz/NrbfeypYtW9iwYQNz5gT6+fr6+pDPnf/xP/4HnufxJ3/yJ8ycOTO7feMb38ge09zczOOPP86NN97I2rVrqaurY8uWLdxxxx1F589a2MfD83w2v/uBrb8YeJ7P5vcP2bqLgacFb3XMx8tb+WYZCLbdxmdI68waKMdi2Gx2RjI9utEL9ceZOHHs6DQvFUppms43M3XyRKS8UhtWRLPJa1ZG2gzvoHtX/jRdaGXqxHHhujNmerQ58+MZBpLexXA61RI+P9Ua3n+xOZxuN2ZIWozzG5vC6bPnQ+l0azj8hLoYDhdhVo9Mhr+7EhXhpezyqomhtJgVXvrO5CkoDU3dpUxNdiErjePLw+EuKA0vbTfDRwjHWLruGOEj8paem0u1o5aWj7x2MTba7eWhubmVSTPnD43NzsdvD95m57p7rc2OpRfb4OMhpWDa1EnRB1rykFIwbUolmH5yLJFIAdNKhnpVzJWDbbfxGdp3hXUqGIexWeoB0uPXwVIcac/j9bd32vqLQdrzeX1rddZHj2XgeEqwqfFqPGU/UuJg2218hrTOrBorFnawUwBHmlPTloHgSIfbb11k6y8GjpTc/qnrbaiSGEihWTaxCSmsZj4Ott3Gx9bZyMeqsQpg1VjxkFIw+Yq3dTKfjYjwE3nhJvruHKUDkydV5Nv0GM+iMP6/diNsRIy0MGxOtNlZu0bXYISDEOXh8ApiYmX48OawjQ+dneG0GY7C/H+GTYKYYqhXJoZtchg3DgkELgYTUBLOD0nDxsE1wkeY4SGkER7CvF9XgI2Oydhot5eHoX1X2NVYcbCfjwWw07nxSHsev3tju62/GKQ9j99t3mXVWDFIK8GrxyeRtmqsWNh2Gx+rxhr52MFOAXIdTVkGjus4rF5xs62/GLiOw+o7FkcEAbX0hSs0n76mNfCYbCka227jY+ts5GPVWAUYSIwuSz5CCCrGj4s+0JJHUHfl+WosSyRCwISknRGLi2238Rnad4VVY8XBDnYKYKdz45H2PDa8uYN1a1aE3Kpf2UR0IJH9S/BlmPY8Nmzeybr7bg/XXcRSdCHCM0E6z4bE+PI0bHbybFYSYZscnTBscEoMPzSmDc9kw8am2/ALpIzymDZDCeO5KSsz/p/xUi6bTNqH1w4JPnejJllq2PQYfnQw/ejICD86ZvoKsNExGZvt9tIwtO+KwaqiRt+zeSmwT3QB7NRkPFzHYe09t9v6i4HrOKy9e5mtuxi4Ej67UONaDWAsbLuNz9DWmZ3ZiYPtFiyXhdygeZbisHUXHzvQGRz22bNcqdiZnQJ4vtX/x8HzfTsdnsfA1Fye7wdqrDV3ZiOf94m51FWH3/KmWgsVvpY2l1abahxzaXbCWLpd0h6+Xlk4TbojnPZMNVaETZL53CQMNVZyQjh/JRV4vua1D5p58LaJyER4P274/Pyl5mNPbWVi2218hvRdMdgVVWPUFtU+0QWw07nxcB2HdWtW2PqLQVB3d9q6i4Er4cHbJtrZnZjYdhufoa0zGy4iDmOz1JbLjo2cHB9bd/HxfLvsfDDYZ89ypWIHOwWwaqx4eL7Pxnd22fqLQVB3u23dxcBTsGlvC55dtR8L227jMyxqLOtUsCiE1tp+Chm0trZSWVlJy5kTVFRMiD7BYrnsGM00r9ma+43O1/TbY6aVZ+w2ltKqbiNt2OB4RrRx30yb50cs1TVtZkwbG8OmyLTJMZeWR4aDGIM2OpZLR2trG5XT59HS0kJFxeUJudHzXmr+ZA8VFeOjT+j3Ou1MnLPssuZ1JGJndgpgx4Hx0FrT2t5h6y8Gtu7io7WmtaPb1l1M7LMXH1tnIx872CmAnc6Nh+f7bN2xz9ZfDGzdxcfzNe/uO23tdmJin734DG2diUuwjT3saqwC2OWX8Ui4Lp//7MrhzsaoxNZdfBKuZN3KucOdjVGLffbiM5TvisDsJv6AZYya7NjBTiGUsl+IcVBK09zaxsSKCUjTH4ylIP3XnWlDYp4ZYVNiBsc0bXbM8BF5Nj6GjYxhs6Pd8oL7I22GTMwe2fQbZNjcCJkI6q6tk4kTypGu4TcoIlxG3vXH4Nevbbfxse+KkY9VYxXAN+P3WAaEr3x2VR+29RcDW3fx8ZVi18Ea/CiHhZY+sc9efIa2zqwaKw52ZqcAVo0Vj4Tr8sC9dwx3NkYltu7ik3AdHlh143BnY9Rin734DOm7wnpQjoWd2SnAlTQ1efKTGkTZVJqbW6IPHgD/59f+PcmKmYyfOodUKhXap5SmsenCFVV/Q4Wtu/gopWk812brLiZj/dk7d+4846fOITFhBt/81neLOndo68zO7MTBDnYKoAY5HX7ko6M89Af/hqnX3EDFtLksumUFf/XD5y5R7oafrz/+x7Q3fUJJSdiHiVKKA4dPcPjIUX7/y19lxtybmDhjPnd9Zh3vbXs/e9zWd7czfuqc0CbLr+JPn3yq3/95+nQ96770rxk35VquXXAL/8/PX8ru++josYL/L4pUKsW9a7/AtGsXZe/X8y/8XcFz5i5cStmka7L5nzhj/qDK11N3Pc/eu+/tYMXdD1A5fR6z5i/h29/5XmZf353Y43/yJAtvXoEcN51n/+b5wBYlZ9u0+f9v786jmrrWv4F/Q8KsjCoBBQRqQRQRsCpO2KrgPNQBqCLVjr/bty3ee+vcK2pbqPbawbHeqrXOVdQ6F9oqVsU5ICKOREABFZlFpmS/fyCRkJHEJBiez1pnreRk751nP2fD2TknOeckAvsNRVunV+AbFIJjfyTXf3/FxBQwMcX7H8+Bd8+BMGnriu/WbKq/Z5aJWf11bhovPEuphWNqDY6pNf74+xKCBk+EjXsfdOs3Hr8nXwbHzAYcM1vpxdweHHN7nL58G8EjZsDOayA69QjDnC/Wgpk+L5f/uAqjIj9FG9fecPcPw0/bDoNjagMOzxocnjVOn89A8LBI2Lr2hKtvf3w89wvUsef9Ubg0zUf7zvAN6I9jiX9B2c6AMYa45d+hs3cArB3d8Kpfb5w7f0nyurLxqcn4airpzxMIDH4dbdu7wzegH44l/vlCyl/NyISFnQsmhE+X+r+nbHyr4/2PZsG7Rx+YWLXHdyvXybyuLF/yqCqvKl5l28/R0QEVhdmYGjGpWX0EtN9XEN2jyY4S2t4BeNSEt+Dv1x05N1NRnH8HCTt+hqeH+wuKruXi8bh4Y0AgKioqMCJsCNIvnMTj+7fwdlQERk6IQGHhYwDAwAHBqCjMlix3Mi6Ay+UiYvIEhW1HRr8PvlMHPMzJxO5tG/HZ/Fgk/30aAFBSUqb0/VTHzcPKFfHIy7qKsod3sXfnZny+JB5/n0pRWm/H5vWSPpQUZEnWa9K/htzxeFyIRCKMmxKFcWNGoCjvNk4fP4Ldew8o3UH6+3XHmu+Xo3evQJnXsoR3MSE8GosXzkHpgyws+3IRJkbORJbwbqP63bDm+2Vy66uSJczGhMh3sXjBv1B6PwPLls7HxGkfIEuYLbe8SCTCuIh3MW7UMBRlp+F0YgJ27z+M9Zu2S8pEzvwYfKf2eHjnMnZvXoPPPv8KyafONqr/DsaNCkVRbgZO//Ebzp87h42/7FAz3sb5ED7LxwypfDS1YNGXOHw0CX8cSUBFYTaSDiXAzbXj83iVjE9Nx5em8apbXiwW471/zEJwn15o72An839P0fhWh7LxCCjPl6bllcWravtpSq93i2/yAUajpRVqnb1Wkzaz9cLCx7iTJcQH70TDysoKXC4X3Xx9MHniOEmZFd+vQZfur6Fte3d4+fbCqrU/SV5rOO206Zft8OwahDbt3PHZvEXIzy/AsFETYdOhM0KGjUFBwQNJHY5lO3y/6kd49+gDO74nwqe9g9LSMrnxMcbww+r18PHvCzu+JwaHjkXm9Zsa97cxsViM+wWF6BXUE++/E4327duBy+XivZnTweVyceVqhtx6m7fuRJdXPNEvWP73Bu5kCXHqzDnELVkIa2tr9OkdhKkRk7Bxc/3Osfdrgc16v6a4XC78uvuC9+z8O4fDAYfDwe0soQZZaH7/gOe5E4vFKC0tQ1FRMaKnhoPL5aKzuxuGvjEIVzOuK6z/0YfvYMjrg2BhYS7z2rHEvxDYswfGjAqDiYkJRo8MRe9eAfhl269q1VflWNIJBPr7YczIYfXtjxiK3kE98cuOBLnlS0vLUVRcgui3Jj3rnyuGDh6Aq9duAADuZGXjVMpFxMXOhrW1Ffq8FoCpk8dh45Zfn9Uvq68/tb6+m2tHBPfpjXQl+VGej7Bn+dglt3xRUTFW/LAWG3/8Hq94eYLD4cDd3RXOzvxn8Sofn9qOr/p4/TBm1HC14lW3/Mo1/4P3q69g8KD+qKqueaFHKZSNJ1X50rZ8U6q2nzb0e2SHTmNpgiY7SmhzHtbR0QE+3l0w44OP8eue/cjOzpUp4+7mir+O7kfZw7v4ae23+Gx+rMxplz/+Skb6xZM4m3wMP6z5HyZGzsCKr5fiYc518Hg8fLXsO6nyW3b8iuPH9uPudQGKS0oR85n8c89r12/Chs3bcDBhGwrv3cSb40ZjzMSpqKmpv6x//PLvMfrNSI36LhYz3Ll7XyZ/6Vevoby8Ar4+3nLrbfxlO96Jnqqw3Svp1+DMd4KTUwfJup49uuPK1Wtyy6t6P0VGvxkJC7uO8A3oB6cO7TFh7Cil5T/4+F9o1+lVBIcMx5FjSQrLqeofIJ07Bwd7zIyeig2bt6G2thZ3soT446+TGBE2pFn9qceBWMye3WXi+T89sViMK+nXIP+fIafRp0Gu9NL0tBDXHGKY1N+0gmtef7sGrgXEDLiScVPmtBd4lnDo4IyZ09/Chq0JqGU83MkpwB8nzmDE8DCAZ4krmVn129vFrf72EDwL9OzpjysZNwCuORza8+vrb9mDWjEHt4T3cfzkaYSFDn12aq7RIvPJtmk+GvLfkA9ZZ89fhLm5GQ4fTUJHz+7w8AnE3IVLUFtb/zN7dcdnc8dX49iaXqhXWbzqlM/JuYfvVv2Ib+IWgzHgSeVTmb9bdcd3czX371nd8oriVbX9tNFav+f0MqHJjhLaHJrkcDg4fmw//P26YfFXy+HpGwTfgH5I+vOEpMzECWPg6toRHA4Hr4cMRNjQ13GiySHZz+f9G9bW1ujerSv8/bph0IBg+HX3hYWFBSaOH4PLqVekys+e9TFcXJxhZ2eLpf+Zh+27EuR+6lj94wYs+XwOurziBR6Ph08+eh9Pnz6VnL+e+9mnOLRXvdMBTfF4XAzq6y+Vv+LiEkRMfw/zZ8eAz3eSqfP3qRRkCbMxfWq4wnYrnjyBnZ2t1Do7W1uUl1fIlFX1fsoc2rsDTx7n4ETib5g4fjQsLS0Ult2yYQ2EmZdw/046Pv6/dzExcgYuXLwsU06d/gGyuZv85lis3/ALLO074ZVur2H0iFCMGhHarP40CB06GBcvp2L/gSOoq6vD/gNHcDrlPMrKyzVqT7b913Hxclqz2p/85lis37gFlg5ueKV7H4weMQyjRgwD0LC9pe/dY2dni/KKCtn69q7w8e+LSeNHYezo4WrG27x8FBUXo6ysHJcEabhx5SySEw/gyO9/YNmKlY3iVT0+mzO+tIlXnfIffvJvxC6cjXbtHGFiwoGjva3U362641sTzfl7Vre8snhVbT9t6Pc0Ft0IVBM02VFC20OTfL4T/vv1UmRcPo1HuTcwInQIJoRHo6ioGACwbcduBAa/DntnL9jxPXHk9z9kvl/Cb/QpxsrKUuZ5xZMnUuXd3VwbPe6EmpoaPHpUKBPb3excTJv5f7Dje0qW4pJS3Lufp1Ffc3LuNfoirhvOnBdI8ldaWobhY6dgQL8+iF04R279DZu3Yeyo4Wjfvp3C92hjbS1zWq60rAxt20rfFE+d91OFy+UiZGB/PHj4CMu/XaWw3MABwbCysoK5uTneipiEMSPDkLD/kEw5dfoH1I+57HsFEIvFuHHzFsZPmY5vl32BqpL7yMu6iswbNzHv86Ua9enVLq9g97YNWBK3HB3cfLBh81ZETJ4ARwd7jdqTbd/rWfvfoIO7LzZs3o6IyePh6OAgt/yNm7cxPjwa3y5biqriXOTdSa/v33++ANCwvaV35KWlZWjbpo1s/ZJ7uHf7CgRXrmLuwiVqxtu8fLSxrn/fxZ/PQZs2beDm1gmffvQ+fjt4tFG8qscnoP740iZeVeW379yDqqoqRE+LAFB/aruyqlrq/56641sTzcmXuuWVxatq+2mDTmO1fDTZUeJFHpp0cLBH7MLZePLkCYR3s5GTcw/R7/0/LPsyFo9yb6CkIAsjw4bK3sy6mbJznp8uy8m9DzMzM7k7WNdOLti9bSNKCrIkS2VRLiLDJ2r0vm5unRp9KVAIPLuibVlZOcLGTEY3Xx+sW/lfuZc5Lysrx+69B/DujGlK36OHny/y8gvw8OEjybrUtKvw6/b82irqvF9z1NbW4tZt9b+UKe/Ks+r2D6gfc/Xf2WFIv5qJTh1dMOnNseDxeHB25iN6WgQOHvm9WX1obPTIMFxOOY6ivNs4mLAdt25nIWRgf43bk20/FJdT/kLR/Zs4mLAVt24LETJA/i0I0jMy0amjMyZNGPOsf06InhqOg0cSASjY3lcy4Ne9q9z6Tk4d8MbrQ3DoWX314lU/H/49ugGAwjGlzvhsqrnjq7nbT1n5xD9P4JIgDfzOvuB39sV/v1+D5JN/w62Lv8L2XuSVlZubL03y2zheVdtPG3Qaq+WjyY4S2hyaLC4uwcLYr3D9xi2IRCJUVlZixQ9r4eBgDx/vLqh4Un934Q7t28HExARHjiUhsdEpLk0t/3YV8vLyUVJSiv8sjUfE5AkwMZHdzB998A7+syQeN27eAlC/Q/7t4BGUv4BTGjweF/16dUdlZSXCxkzGq1288NPa7xT+k9nxawIcHewROvR1pe16eXqgf3BvzF/0BSorK3H+wmVs27UH77w9VdIHVe83OHQsYr/4Wm77qWnpSPrzBJ4+fYq6ujocPpqIbTsTEKYgrpycezh56gyqq6tRW1uLX/fsx2+HjmH8mJFq969pPA254/G4CAr0R15+AfYfOAKxWIxHjwqxZfuvCPD3U5ijmpoaVFVVQSwWo66uDlVVVairq5O8fvGSAHV1dSgvL8eSr5ajqLgY0dPC1a7/PF75nxgvXkpFXZ0I5RVPsCTuv/XtR0XK/UVIUGBP5OU/wP6DxyBmwKPCImzZsae+fxwuvLy86rd3bBwqn1bj/MU0bNuVgHfeniZbX8xQXFyCs2fPIKBnD0k8g0PHIfaLZQrzpSofjXl0dsfQN0Kw+MvlqKysRF5ePlau/QnjxowAoHp8qjO+lI3P5sarqvz333yFG2lnkXr2OFLPHseH776NNwYPwqUz9T9PV2d8q4pX2XhSla+mVJVXFa+q7acNOo31EmBERmlpKQPAivLvMPa0UKOlojCbvR0VyTw6uzNra2vm6OjAhg0ZzM7/nSgp8/m8fzFHRwdmZ2fLpk8NZ+GTxrNPP/qAsaeFTHj9MgPAihvFEDKwH/t22ReS55vWr2T+PbpLngNg3y3/kr3axYvZ2LRlkyaMldRv2p648hFb/d0y5tvVm7Vt24a5OPPZlInjWNlDIWNPC9mXixew4aFDFPYvelqEJNamS92Th+xWZhrb+OMPDACzsrJi1tbWkmXrxrVS5V8LCmD/mf9vuW35dvWWKn/vdjobHjqEWVlZsU4dXdj61Sskr/38v1Uq38+jsztLPLRH7ntdOJXEegX2ZG3btmE2Nm1ZD79ubN3KbxTGk3H5NPPv0Z1ZW1szW1sb9lpQADuwZ6tMu8r61zSehtzVPXnI2NNC9tvuLSygpx+zsWnLOnRoz6ZGTGKPcm8ozE/IwH4MgNSyaMFnkteHvhEi6d/E8WNY7q0rUvGoqq8sf+q03zReVf1Ttr1l6rdvx8aOGckKsjN1Fu+D7Ew2bvQI1qaNNXNx5rPZ//yY1ZTlqxWvOuPrRcerqnzj5fP5/2ZDh7wuGXvqjG9V8aoaT6q2b3P+/tWJV9X2Y0+V/29TtBTl32EAWGlpqc73S6V51xmruK/xUpp3XeextkQcxrQ9cWJ8ysrKYGtri8d5t+Fgb2focNTGsWwHwdnj6Knkk/+L8t4/YrDj133g8bh4kJ0pdWHBOpEIgvSbCPB7FTyuHj/xqJCdnYuI6e8hJfmYoUMBID+elpo7oOXlr6mmuWvp8TZl6HibO/YMHe+LVlRUDE/fINTW1uEf78/A8rjF6tctLoGjyysoLS2FjY2N6goaaNgvleZdh41NWy3aKYeti49OY22JaLIjh2RQPRBqNaj0TZ+THUIIIfXKysph6+Shn8lO/g3tJzvO3q1uskPf2VGC7p6sGZFYjOu3syl/GqDcaY5ypx3Kn+b0mzP6NZYm6LbeyrxkB73YU9mfmBsEY3haVfPS5a9FoNxpjnKnHcqf5vSZM21v+UC3izCMNWvWwMPDAxYWFggKCsLff/+ttHxycjKCgoJgYWEBT09PrFsne3O5hIQE+Pr6wtzcHL6+vti3b59GsXFb2HcmXhZcLhcB3btQ/jRAudMc5U47lD/NtYac6WJfrU8Gnezs2rULMTExWLBgAQQCAQYOHIgRI0YgJydHbnmhUIiRI0di4MCBEAgEmD9/Pj755BMkJDy/905KSgrCw8MRFRWFtLQ0REVFYcqUKTh3Tv27XzcQiehwriZEIjGuXs+i/GmAcqc5yp12KH+a02/O9H8aSxf7an0z6BeU+/Tpg8DAQKxdu1ayrmvXrhg/fjzi4uJkys+ZMwcHDhxAZmamZN2HH36ItLQ0pKTU3zk4PDwcZWVlOHr0+VUxhw8fDnt7e+zYod7tDxq+CFaUdwf29raqKxApIpEYmbfuomuXzuByDX7w8KVCudMc5U47lD/NFReXwsHFSz9fUH6Qpf0XlJ08mxWrLvbV+mawEV1TU4NLly4hNFT6Pj+hoaE4c+aM3DopKSky5cPCwnDx4kXJzdwUlVHUpjL0B68ZLtcE3X08KX8aoNxpjnKnHcqf5ow5Z7raV+ubwb6gXFhYCJFIBCcn6Zs0Ojk5oaCgQG6dgoICueXr6upQWFgIZ2dnhWUUtQkA1dXVqK6uljwvLS0FADx+XATg+SFKLtcEIpEI4HDANTFBnUgETsPjOhFMTDgwkfvYBCYmHNTW1YFrwpU85nG54HCePwbqr3XR+LEpjwfGmOSxWMwgEj9/LBaLweNxIRaLIRYzmccisRiMMfC49Y/BGLhcrk77JBaLcSUzC34+HuByuUbRJ31tJw6A9OtC+HZxg5mZmVH0SV/biQMg42Y2vL06wdzMzCj6RGPv5dhODVee18eJkrKyCmjzi6r6+vVHihozNzeXul5aA13tq/XN4L/GanpJf8aY0nuXyCvfdH1z24yLi8PixbIXkPL0DVIcOCGEENLI48ePYWurm68+mJmZgc/nw7VLD63batOmDVxdXaXWLVq0CLGxsQrr6GJfrU8Gm+y0a9cOXC5XZmb48OFDmRlhAz6fL7c8j8eDo6Oj0jKK2gSAefPm4Z///KfkeUlJCdzd3ZGTk6OzgWvMysrK4Orqitzc3FZ10aoXgXKnOcqddih/mistLYWbmxscHBx09h4WFhYQCoWoqanRui15ExV5R3UA3e2r9c1gkx0zMzMEBQUhKSkJEyZMkKxPSkrCuHHj5NYJDg7GwYMHpdYlJiaiV69eMDU1lZRJSkrCrFmzpMr069dPYSyKDt/Z2trSH70WbGxsKH8aotxpjnKnHcqf5uTddPlFsrCwgIWFhU7foyld7av1Tk/34JJr586dzNTUlG3YsIFdu3aNxcTEMGtra3b37l3GGGNz585lUVFRkvJZWVnMysqKzZo1i127do1t2LCBmZqasj179kjKnD59mnG5XBYfH88yMzNZfHw84/F47OzZs2rHJbnhWiu7UdqLQvnTHOVOc5Q77VD+NGfsudPFvlrfDH7X89WrVzN3d3dmZmbGAgMDWXJysuS16OhoFhISIlX+xIkTLCAggJmZmbHOnTuztWvXyrS5e/du5u3tzUxNTZmPjw9LSEhoVkzGPnB1jfKnOcqd5ih32qH8aa415E4X+2p9ohuBylFdXY24uDjMmzdP4XlMohjlT3OUO81R7rRD+dMc5a7lo8kOIYQQQoya8V4JiRBCCCEENNkhhBBCiJGjyQ4hhBBCjBpNdgghhBBi1FrdZKeurg4LFy6Eh4cHLC0t4enpiSVLlkAsFiusc+LECXA4HJnl+vXreoy8ZSgvL0dMTAzc3d1haWmJfv364cKFC0rrJCcnIygoCBYWFvD09MS6dev0FG3L09z8tdaxd/LkSYwZMwYuLi7gcDjYv3+/1OuMMcTGxsLFxQWWlpYYPHgwMjIyVLabkJAAX19fmJubw9fXF/v27dNVFwxKF/n7+eef5Y7FqqoqXXZF71Tlbu/evQgLC0O7du3A4XCQmpqqVrutZey1VK1usvP1119j3bp1WLVqFTIzM7Fs2TIsX74cK1euVFn3xo0byM/PlyxdunTRQ8Qty7vvvoukpCRs2bIF6enpCA0NxdChQ3H//n255YVCIUaOHImBAwdCIBBg/vz5+OSTT5CQkKDnyFuG5uavQWsbe0+ePIG/vz9WrVol9/Vly5ZhxYoVWLVqFS5cuAA+n49hw4ZJbsgoT0pKCsLDwxEVFYW0tDRERUVhypQpOHfunK66YTC6yB9Qf3XlxuMwPz9f71f01TVVuXvy5An69++P+Ph4tdtsTWOvxTLkRX4MYdSoUWzmzJlS69588002bdo0hXWOHz/OALDi4mJdh9eiVVZWMi6Xyw4dOiS13t/fny1YsEBundmzZzMfHx+pdR988AHr27evzuJsqTTJH409xgCwffv2SZ6LxWLG5/NZfHy8ZF1VVRWztbVl69atU9jOKn5H+QAABw9JREFUlClT2PDhw6XWhYWFsYiIiBcfdAvyovK3adMmZmtrq9NYW5qmuWtMKBQyAEwgEKhsp7WOvZak1R3ZGTBgAP7880/cvHkTAJCWloZTp05h5MiRKusGBATA2dkZQ4YMwfHjx3UdaotTV1cHkUgk80nO0tISp06dklsnJSUFoaGhUuvCwsJw8eJF1NbW6izWlkiT/DVo7WOvMaFQiIKCAqlxZW5ujpCQEJw5c0ZhPUVjUVkdY6Rp/gCgoqIC7u7u6NSpE0aPHg2BQKDrcI0CjT3Da3WTnTlz5iAyMhI+Pj4wNTVFQEAAYmJiEBkZqbCOs7Mz1q9fj4SEBOzduxfe3t4YMmQITp48qcfIDa9t27YIDg7G0qVLkZeXB5FIhK1bt+LcuXPIz8+XW6egoEDmzrhOTk6oq6tDYWGhPsJuMTTJH409WQ13U5Y3rpreablpvebWMUaa5s/Hxwc///wzDhw4gB07dsDCwgL9+/fHrVu3dBqvMaCxZ3gGu+u5oezatQtbt27F9u3b0a1bN6SmpiImJgYuLi6Ijo6WW8fb2xve3t6S58HBwcjNzcU333yDQYMG6Sv0FmHLli2YOXMmOnbsCC6Xi8DAQLz11lu4fPmywjocDkfqOXt20e6m61uD5uaPxp5i8saVqjGlSR1j1dxc9O3bF3379pU879+/PwIDA7Fy5Ur88MMPOovTWNDYM6xWd2Tns88+w9y5cxEREQE/Pz9ERUVh1qxZiIuLa1Y7ffv2bZWfaLy8vJCcnIyKigrk5ubi/PnzqK2thYeHh9zyfD5f5tPLw4cPwePx4OjoqI+QW5Tm5k+e1jr2GvD5fACQO66afnpuWq+5dYyRpvlrysTEBK+99lqrHovqorFneK1uslNZWQkTE+luc7lcpT89l0cgEMDZ2flFhvZSsba2hrOzM4qLi/H7779j3LhxcssFBwcjKSlJal1iYiJ69eoFU1NTfYTaIqmbP3la+9jz8PAAn8+XGlc1NTVITk5Gv379FNZTNBaV1TFGmuavKcYYUlNTW/VYVBeNvRbAkN+ONoTo6GjWsWNHdujQISYUCtnevXtZu3bt2OzZsyVl5s6dy6KioiTPv/32W7Zv3z528+ZNdvXqVTZ37lwGgCUkJBiiCwZ17NgxdvToUZaVlcUSExOZv78/6927N6upqWGMyeYuKyuLWVlZsVmzZrFr166xDRs2MFNTU7Znzx5DdcGgmpu/1jr2ysvLmUAgYAKBgAFgK1asYAKBgGVnZzPGGIuPj2e2trZs7969LD09nUVGRjJnZ2dWVlYmaSMqKorNnTtX8vz06dOMy+Wy+Ph4lpmZyeLj4xmPx2Nnz57Ve/90TRf5i42NZceOHWN37txhAoGAzZgxg/F4PHbu3Dm990+XVOXu8ePHTCAQsMOHDzMAbOfOnUwgELD8/HxJG6157LVUrW6yU1ZWxj799FPm5ubGLCwsmKenJ1uwYAGrrq6WlImOjmYhISGS519//TXz8vJiFhYWzN7eng0YMIAdPnzYANEb3q5du5inpyczMzNjfD6fffTRR6ykpETyetPcMcbYiRMnWEBAADMzM2OdO3dma9eu1XPULUdz89dax17DT+6bLtHR0Yyx+p9PL1q0iPH5fGZubs4GDRrE0tPTpdoICQmRlG+we/du5u3tzUxNTZmPj4/RThp1kb+YmBjm5ubGzMzMWPv27VloaCg7c+aMHnulH6pyt2nTJrmvL1q0SNJGax57LRWHsWffFiWEEEIIMUKt7js7hBBCCGldaLJDCCGEEKNGkx1CCCGEGDWa7BBCCCHEqNFkhxBCCCFGjSY7hBBCCDFqNNkhhBBCiFGjyQ4hhBBCjBpNdgghhBBi1GiyQwhR6tSpUzA1NUV1dbVknVAoBIfDQXZ2tgEjI4QQ9dBkhxCiVGpqKrp27Qpzc3OpdXZ2dnB3dzdgZIQQoh6a7BBClEpLS0NAQIDUutTUVPj7+xsoIkIIaR6a7BBClEpNTUXPnj2l1gkEAprsEEJeGjTZIYQoJBKJkJGRIXNk5/LlyzITIEIIaaloskMIUejGjRt4+vQpXFxcJOtSUlJw//59OrJDCHlp0GSHEKJQamoqAGDlypW4desWjh49iunTpwOA1K+zCCGkJaPJDiFEodTUVAwbNgxCoRDdu3fH/PnzER8fDxsbG6xevdrQ4RFCiFo4jDFm6CAIIS1TWFgYAgMDERcXZ+hQCCFEY3RkhxCiUFpaGnr06GHoMAghRCs02SGEyFVQUIAHDx7QZIcQ8tKj01iEEEIIMWp0ZIcQQgghRo0mO4QQQggxajTZIYQQQohRo8kOIYQQQowaTXYIIYQQYtRoskMIIYQQo0aTHUIIIYQYNZrsEEIIIcSo0WSHEEIIIUaNJjuEEEIIMWo02SGEEEKIUfv/wRK+qASc/RcAAAAASUVORK5CYII="
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 9,
"data": {
"text/plain": "PyObject <matplotlib.legend.Legend object at 0x000000005A05D358>"
},
"metadata": {}
}
]
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "opt_TDist1 = optimize(negloglik_TDist1, [10.0, 1.0])\n@show opt_TDist1\n\n@show t1mu = opt_TDist1.minimizer[1]\n@show t1nu = opt_TDist1.minimizer[2]\n@show t1mu_str = @sprintf(\"%.1f\", t1mu)\n@show t1nu_str = @sprintf(\"%.2f\", t1nu)\n\npred_TDist1(x) = pdf(TDist(t1nu), x-t1mu)\n@show maxloglik_TDist1 = - negloglik_TDist1(t1mu, t1nu)\n@show AIC_TDist1 = -2*maxloglik_TDist1 + 2*2\n\nsleep(0.2)\n\nmu = collect(linspace(8.5,11,100))\nnu = collect(linspace(eps(),2,100))\nL = lik_TDist1.(mu',nu)\ncmap = \"OrRd\"\nfigure()\npcolormesh(mu, nu, L, cmap=cmap, vmin=0.0)\ncolorbar(label=\"likelihood\")\nxlabel(\"\\$\\\\mu\\$\")\nylabel(\"\\$\\\\nu\\$\")\ngrid(\"on\", linestyle=\":\")\ntitle(\"Model: \\$y \\\\sim \\\\mu + \\\\mathrm{TDist}(\\\\nu)\\$\")\ntext(8.6, 0.05, \"Sample: $Y\", fontsize=9)\nscatter([t1mu],[t1nu], label=\"MLE\")\nlegend()",
"execution_count": 10,
"outputs": [
{
"output_type": "stream",
"text": "opt_TDist1 = * Status: success\n\n * Candidate solution\n Minimizer: [9.73e+00, 6.23e-01]\n Minimum: 1.982632e+01\n\n * Found with\n Algorithm: Nelder-Mead\n Initial Point: [1.00e+01, 1.00e+00]\n\n * Convergence measures\n √(Σ(yᵢ-ȳ)²)/n ≤ 1.0e-08\n\n * Work counters\n Seconds run: 0 (vs limit Inf)\n Iterations: 33\n f(x) calls: 70\n\nt1mu = opt_TDist1.minimizer[1] = 9.728455866678203\nt1nu = opt_TDist1.minimizer[2] = 0.6230116833132611\nt1mu_str = #= In[10]:6 =# @sprintf(\"%.1f\", t1mu) = \"9.7\"\nt1nu_str = #= In[10]:7 =# @sprintf(\"%.2f\", t1nu) = \"0.62\"\nmaxloglik_TDist1 = -(negloglik_TDist1(t1mu, t1nu)) = -19.826318428686324\nAIC_TDist1 = -2maxloglik_TDist1 + 2 * 2 = 43.65263685737265\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 640x480 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 10,
"data": {
"text/plain": "PyObject <matplotlib.legend.Legend object at 0x000000005A0A2208>"
},
"metadata": {}
}
]
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "opt_TDist2 = optimize(negloglik_TDist2, [10.0, 1.0, 1.0])\n@show opt_TDist2\n\n@show t2mu = opt_TDist2.minimizer[1]\n@show t2nu = opt_TDist2.minimizer[2]\n@show t2sigma = opt_TDist2.minimizer[3]\n@show t2mu_str = @sprintf(\"%.1f\", t2mu)\n@show t2nu_str = @sprintf(\"%.2f\", t2nu)\n@show t2sigma_str = @sprintf(\"%.2f\", t2sigma)\n\npred_TDist2(x) = pdf(TDist(t2nu), (x-t2mu)/t2sigma)/t2sigma\n@show maxloglik_TDist2 = - negloglik_TDist2(t2mu, t2nu, t2sigma)\n@show AIC_TDist2 = -2*maxloglik_TDist2 + 2*3\n\nmu = collect(linspace(8.5,11,100))\nnu = collect(linspace(eps(),2,100))\nL = lik_TDist2.(mu', nu, t2sigma)\ncmap = \"OrRd\"\nfigure()\npcolormesh(mu, nu, L, cmap=cmap, vmin=0.0)\ncolorbar(label=\"likelihood\")\nxlabel(\"\\$\\\\mu\\$\")\nylabel(\"\\$\\\\nu\\$\")\ngrid(\"on\", linestyle=\":\")\ntitle(\"Model: \\$y \\\\sim \\\\mu + \\\\sigma\\\\;\\\\mathrm{TDist}(\\\\nu)\\$\")\ntext(8.6, 1.65, \"Sample: $Y\", fontsize=9)\ntext(8.6, 1.85, \"\\$\\\\sigma = $t2sigma_str\\$\")\nscatter([t2mu],[t2nu], label=\"MLE\")\nlegend()\n\nsleep(0.2)\n\nmu = collect(linspace(8.5,11,100))\nsigma = collect(linspace(eps(),1,100))\nL = lik_TDist2.(mu', t2nu, sigma)\ncmap = \"OrRd\"\nfigure()\npcolormesh(mu, sigma, L, cmap=cmap, vmin=0.0)\ncolorbar(label=\"likelihood\")\nxlabel(\"\\$\\\\mu\\$\")\nylabel(\"\\$\\\\sigma\\$\")\ngrid(\"on\", linestyle=\":\")\ntitle(\"Model: \\$y \\\\sim \\\\mu + \\\\sigma\\\\;\\\\mathrm{TDist}(\\\\nu)\\$\")\ntext(8.6, 0.85, \"Sample: $Y\", fontsize=9)\ntext(8.6, 0.92, \"\\$\\\\nu = $t2nu_str\\$\")\nscatter([t2mu],[t2sigma], label=\"MLE\")\nlegend()",
"execution_count": 11,
"outputs": [
{
"output_type": "stream",
"text": "opt_TDist2 = * Status: success\n\n * Candidate solution\n Minimizer: [9.88e+00, 4.07e-01, 1.94e-01]\n Minimum: 1.776957e+01\n\n * Found with\n Algorithm: Nelder-Mead\n Initial Point: [1.00e+01, 1.00e+00, 1.00e+00]\n\n * Convergence measures\n √(Σ(yᵢ-ȳ)²)/n ≤ 1.0e-08\n\n * Work counters\n Seconds run: 0 (vs limit Inf)\n Iterations: 80\n f(x) calls: 154\n\nt2mu = opt_TDist2.minimizer[1] = 9.87567510643497\nt2nu = opt_TDist2.minimizer[2] = 0.4065330086470647\nt2sigma = opt_TDist2.minimizer[3] = 0.19351765869024307\nt2mu_str = #= In[11]:7 =# @sprintf(\"%.1f\", t2mu) = \"9.9\"\nt2nu_str = #= In[11]:8 =# @sprintf(\"%.2f\", t2nu) = \"0.41\"\nt2sigma_str = #= In[11]:9 =# @sprintf(\"%.2f\", t2sigma) = \"0.19\"\nmaxloglik_TDist2 = -(negloglik_TDist2(t2mu, t2nu, t2sigma)) = -17.769565021161156\nAIC_TDist2 = -2maxloglik_TDist2 + 2 * 3 = 41.53913004232231\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 640x480 with 2 Axes>)",
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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 640x480 with 2 Axes>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 11,
"data": {
"text/plain": "PyObject <matplotlib.legend.Legend object at 0x000000005EAEBF60>"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## 比較"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "@show AIC_Normal\n@show AIC_Cauchy\n@show AIC_TDist1\n@show AIC_TDist2;",
"execution_count": 12,
"outputs": [
{
"output_type": "stream",
"text": "AIC_Normal = 59.3601631213199\nAIC_Cauchy = 43.32737909354275\nAIC_TDist1 = 43.65263685737265\nAIC_TDist2 = 41.53913004232231\n",
"name": "stdout"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": " AIC_TDist2 < AIC_Cauchy < AIC_TDist1 < AIC_Normal\n\nAIC は小さい方がよい。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "figure(figsize=(6,3.6))\n\nx = collect(linspace(8.5,11.5,1000))\nplot(x, pred_Normal.(x), label=\"Normal(\\$\\\\mu=$nmu_str\\$, \\$\\\\sigma=$nsigma_str\\$)\", lw=0.8, \"-\")\nplot(x, pred_Cauchy.(x), label=\"Cauchy(\\$\\\\mu=$cmu_str\\$, \\$\\\\sigma=$csigma_str\\$)\", lw=1.2, ls=\":\")\nplot(x, pred_TDist1.(x), label=\"$t1mu_str + TDist(\\$\\\\nu=$t1nu_str\\$)\", lw=0.8, ls=\"--\")\nplot(x, pred_TDist2.(x), label=\"$t2mu_str + $t2sigma_str TDist(\\$\\\\nu=$t2nu_str\\$)\", lw=0.8, ls=\"-.\")\nxlabel(\"y\")\ngrid(\"on\", linestyle=\":\")\n\ny = zero(Y)\nscatter(Y[4:n], y[4:n], s=15, marker=\"o\", alpha=0.5, color=\"red\", label=\"Sample\")\n\nlegend(fontsize=9)\n\ntitle(\"PDFs of the predictive distributions\");",
"execution_count": 13,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 600x360 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "正規分布のモデルの予測分布は平べったく広範囲に広がってしまっている。これは外れ値の影響である。\n\nそれに対して、裾野が重い(太い)Cauchy分布やその一般化である t 分布を用いたモデルでは予測分布の幅が狭くなっている。そして、この場合には予測分布の幅が狭いほど AIC が小さくなっており、予測精度が高いと推測される。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "figure(figsize=(6,3.6))\n\nx = collect(linspace(2,9,1000))\nplot(x, pred_Normal.(x), label=\"Normal(\\$\\\\mu=$nmu_str\\$, \\$\\\\sigma=$nsigma_str\\$)\", lw=0.8, \"-\")\nplot(x, pred_Cauchy.(x), label=\"Cauchy(\\$\\\\mu=$cmu_str\\$, \\$\\\\sigma=$csigma_str\\$)\", lw=1.2, ls=\":\")\nplot(x, pred_TDist1.(x), label=\"$t1mu_str + TDist(\\$\\\\nu=$t1nu_str\\$)\", lw=0.8, ls=\"--\")\nplot(x, pred_TDist2.(x), label=\"$t2mu_str + $t2sigma_str TDist(\\$\\\\nu=$t2nu_str\\$)\", lw=0.8, ls=\"-.\")\nxlabel(\"y\")\ngrid(\"on\", linestyle=\":\")\n\ny = zero(Y)\nscatter(Y[2:3], y[2:3], s=15, marker=\"o\", alpha=0.5, color=\"red\", label=\"Sample\")\n\nlegend(fontsize=9)\n\ntitle(\"PDFs of the predictive distributions\");",
"execution_count": 14,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 600x360 with 1 Axes>)",
"image/png": 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"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "figure(figsize=(6,3.6))\n\nx = collect(linspace(-40,-20,1000))\nplot(x, pred_Normal.(x), label=\"Normal(\\$\\\\mu=$nmu_str\\$, \\$\\\\sigma=$nsigma_str\\$)\", lw=0.8, \"-\")\nplot(x, pred_Cauchy.(x), label=\"Cauchy(\\$\\\\mu=$cmu_str\\$, \\$\\\\sigma=$csigma_str\\$)\", lw=1.2, ls=\":\")\nplot(x, pred_TDist1.(x), label=\"$t1mu_str + TDist(\\$\\\\nu=$t1nu_str\\$)\", lw=0.8, ls=\"--\")\nplot(x, pred_TDist2.(x), label=\"$t2mu_str + $t2sigma_str TDist(\\$\\\\nu=$t2nu_str\\$)\", lw=0.8, ls=\"-.\")\nxlabel(\"y\")\ngrid(\"on\", linestyle=\":\")\n\ny = zero(Y)\nscatter(Y[1:1], y[1:1], s=15, marker=\"o\", alpha=0.5, color=\"red\", label=\"Sample\")\n\nlegend(fontsize=9)\n\ntitle(\"PDFs of the predictive distributions\");",
"execution_count": 15,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "Figure(PyObject <Figure size 600x360 with 1 Axes>)",
"image/png": 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djRs3bmDw4MFQKpW4cOECgoKCuLvPzp07IzExEYcPH4aHhwfs7e1rjNoEBgaiX79+WLlyJXJzc/Hdd9/xttvZ2eGrr75CVFQU8vPzMW7cOLRs2RJPnz7F1atX8fTpU3zzzTday58+fTpiY2MxYsQILFu2DK1atcLOnTuRlZVVq2Zdzld/f39YW1tj586dCAoKgp2dHTw9Pev9Ujg3NzeEhoZi4cKFsLW1xYYNG5CVlcV75DQiIgIuLi6YMmUKPv74Y5ibm2Pr1q3Izc1VK69z587Ys2cP9u7di7Zt28LKykrt3TMqVq5ciaFDh2Lw4MGYOXMmLCwssGHDBly/fh27d++uc/Rl48aNSEhIwIgRI9C6dWtIJBLExsYCAF5++eU6lcVoBAw7d5RhKqhmc1+6dKlGO9UMftVibm5Orq6u1K9fP5o3bx7dvXu3XmUfOXKEhg8fTl5eXmRhYUEtW7akiIgISk5OrtV3sVhMc+bMIV9fXxKJROTh4UHvvPMOFRQU8Ozq8lRIfn4+jRs3jpycnEggEHAz7VUz5j/77DO1fQDQ4sWLeXlXr16l8ePHU8uWLUkkEpG7uzuFhobSxo0ba6xfVc+qVato6dKl5O3tTRYWFhQcHEzHjx/n2aqeBHj69KnGsnT14ddff6W+ffuSpaUlubu706xZs+i7776r9akQoso2WLRoEQUEBJCFhQW5urpSaGgopaSkcDZXrlyh/v37k42NDQHgytD0VIgKVf3W1tZUVFSkUd/Zs2dpxIgR5OLiQiKRiLy8vGjEiBE1PrmkIiMjg4YOHUpWVlbk4uJCU6ZMoZ9++qnWp0J0PV93795NgYGBJBKJeOdHTeeitqdCpk6dShs2bCB/f38SiUQUGBhIO3fuVNv
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