{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# In-Depth: Support Vector Machines" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "\n", "\n", "*This notebook contains an excerpt from the [Python Data Science Handbook](http://shop.oreilly.com/product/0636920034919.do) by Jake VanderPlas; the content is available [on GitHub](https://github.com/jakevdp/PythonDataScienceHandbook).*\n", "\n", "*The text is released under the [CC-BY-NC-ND license](https://creativecommons.org/licenses/by-nc-nd/3.0/us/legalcode), and code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work by [buying the book](http://shop.oreilly.com/product/0636920034919.do)!*" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "\n", "< [In Depth: Linear Regression](05.06-Linear-Regression.ipynb) | [Contents](Index.ipynb) | [In-Depth: Decision Trees and Random Forests](05.08-Random-Forests.ipynb) >" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Support vector machines (SVMs) \n", "- a particularly powerful and flexible class of supervised algorithms for both classification and regression.\n", "\n", "In this section, \n", "- To develop the intuition behind support vector machines \n", "- To learn about their use in classification problems.\n", "\n", "We begin with the standard imports:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:04:34.832807Z", "start_time": "2018-05-29T06:04:34.089294Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import stats\n", "\n", "# use seaborn plotting defaults\n", "import seaborn as sns; sns.set()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Motivating Support Vector Machines" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "\n", "- **Generative classification**\n", " - [In Depth: Naive Bayes Classification](05.05-Naive-Bayes.ipynb))\n", " - we learned a simple model describing the distribution of each underlying class, \n", " - used these generative models to probabilistically determine labels for new points.\n", "- **Discriminative classification** \n", " - rather than modeling each class, we simply find a line or curve (in two dimensions) or manifold (in multiple dimensions) that divides the classes from each other.\n", "\n", "As an example of this, consider the simple case of a classification task, in which the two classes of points are well separated:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:09:01.715222Z", "start_time": "2018-05-29T06:09:01.432817Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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JH35kWXeTPO1M7LXXQX/oftQlS7DXXJvE1ONxNh7kHTWiKvWrSBuGsSLwNvAz0+ycwUaQmjKV1JSpNDXV0+bziWP6Q3/6yR6fDLqzGxvRWnouLpDZamuSJ5w0qH26I0aS/OUpxJrqcWrgGJZKZu9JZPYu3TCKqF59FmnDMILAzUDxZTZEbehlRkRrs81Jjdmi677w7OZbkjzjLKirq2BAIYaePqcqNQzjOuBxYDpwYl9n0pZlu4FA4RU0hM89/jhMmlR4maqLLoLzzqt8JiGGjuWfqtQwjClAs2mafzMMY3pvr12qpSWx/NF6IXPQDl6/8221PbGDDiV89x09xqXTO+5M21EnQBm/R78eQ6WtldBTT9Iwei2aNxnr68f+/XoMl/J7PvB8PumC7X0NdxwDuIZh7AqMAeYahrGPaZrflTif8ANFof2aG8jsMIHQc0+jZLNkx25D6qip5Vkr0eeil19M+O75aN98DZrGsDFb0HHhJVhbj/M6mhhCei3Spml23cFvGMYL5IY7pEDXMkUhc8DBZA442OskntLnziZ6/dUolpVrsG1Cb7+Jcuap/PDU3yES8TagGDLkYRZRVZRFi4iddRrDdxzP8B3HETttGuqX/y35fvRHHv6xQHcTNP9FeP7cku9PiGL6fZ+0aZo7lTGHEH3r6GDY5F8QfOftrqbgxx8ReO9dWh94FHdE72sZLg91yffF+xbKh0lROXImLapGZNbNPQr0UsGPPiAy4/qS7steY82C7a6iYG24UUn3VW6B114lfPNfBj1zofCGPHEoqkbA7GXmvH+Xdua81BFTCL38EuoPPR/gyY7blsy++5d0X+WifP899ScdR+jVl1HS6dxyYNvuQHzGrJJ+6hDlJWfSomq4vTw44/Qyq95AZHfZlfiV15IZty328EZYfXVSB/yCtllzS74KS7nEzj4D/flnUdJpAJR0Gv35Z4idfYbHycTykDNpUTVSBx2Cft+9edPEurpOZp/9Sr6/zD77kdl7Ekq8jRVWayLelj8ToF8pixYReunvBfuCL76Asngx7siRFU4lBqI6TglE5SUS0Nvcxh6wth5Hx1nnYDet2NVmjxhJxylnkNl9Ynl2qii4DcOqbopQ9btvUVt/KNin/dAiFz+riJxJix60D9+n7o+XEHj7TXBcrDGbkzj9LKxtxnsdDYDUSaeSPugQwvfMB8clfcBBOLLuXx57vdFYa61N4PPP8vqstdfBXrvwfOjCf6RIiy7KksU0HDeFwCf/6WrTnn2awL//zQ/3P4Kz5prehevGXXFFkqfIuGqvIhHS+x2Idt1VKN1Wc3E1jdT+B8nK41VEirToEpk5o0eBXkr76r9EZs6g45I/epBKDFTiN7/FidUTXvAg6rff4Ky8Cql99yc17RSvo4nlIEVadNH++0Xxvq++rFwQURqKQurk00idfBo4TtXclSJ6kp9atclkCk8lWgJOY/Gr/Y7cV1vdpEBXLfnJVYnAG6/RcPjBjNhiI0aM3ZT6Y49C/ezTku4jedQx2Cs05bU7w4aROmxySfclqlQyiX7Pneh33ZG7A0iUnRTpKqB+8h8aph2L/vSTaIsWon3zNeEFDzJs6uSS3ibnjDbouOSPZNffsKvNWnc92s+/SKbnFOjz59G483gaTjmRhtOm0bjjeMKzZ3kdq+bJmHQViMy6Ce3L/DHhwIcfELn1FpKn/apk+0rvdyDpvfYl+MxTKJZFZrc9qu4eYVF62j/fJXbheT0ekw/893PqLr4Aa4MNscZt62G62iZFugpoX3xevK/EQx4ABINkJ+5Z+u2KqhWZPy9vHhMANR4nfM9dtEuRLhsZ7qgCzoheLug1Dq9gEjFUKQUK9FJqa/E+MXhSpKtA+oCDcQpMLmQ3rUhqyrEeJBJDjb3WWkX7rJ+sWbkgQ5AU6SqQ/enP6Dj7t9irr/Fj22iDjosvx1mz+B+PEKWSPG4a2dFGXru1zjokT5jmQaKhQ8akq0TqlyeTmjwF/ZGHcMNhMnvuMyQXhxXecEeOpG3WXOr+dBnBt94A18XaYis6zjwbd+VVvI5X06RIV5NYjPShR3idQgxRzvobEL91Lixd+zEg5aMS5CgLIZaPFOeKkjFpIYTwMSnSNURpayX46AK0d/7hdRQhRInI55Za4LpEL/494fvvQfvmG9xQiOzYbYhfdiXO+ht4nU4IMQhyJl0Dwjf9meifr0P75hsAlEyG0Csv0XDaNOg24bsQovpIka4B+uOPoDhOXnvgnbcJLXjQg0RCiFKRIl0D1O+bC7Yr9D6RvxDC/6RI1wB7tZ8UbHeDQaxNxlQ4jRCilPq8cGgYhgbMBAzABo42TbMMU6+JgUofejjBN19HTXT0aM9stz3ZXX7qUSohRCn050x6bwDTNLcDfgdcXdZEYrml9z+I9osuI7v5ljixGPbKq5A66BfEb54NiuJ1PCHEICiu6/b5IsMwAqZpWoZhHAVsZ5rm8cVea1m2Gwhopcwo+st1obkZYjGIRr1OI4RYPgXPqPp1n3RngZ4D7Acc2NtrW1pKu+5ZU1M9zc3xkm6z1HyVUYlAhw0dP+bxVb4i/J7R7/nA/xn9ng+8zdjUVF+wvd8XDk3TPAoYDcw0DCN/cmMhhBAl12eRNgxjsmEY0zu/TAAOuQuIQgghyqw/wx0PALMNw3gRCAKnm6aZKm8sIYQQ0I8ibZpmB3BwBbIIIYRYhjzMIoQQPiZFWgghfEyKtBBC+JgUaSGE8DEp0kII4WNSpIUQwsekSAshhI9JkRZCCB+TIi2EED4mRVoIIXxMirQQQviYFGkhhPAxKdJCCOFjUqSFEMLHpEgLIYSPSZEWQggfkyIthBA+JkVaCCF8TIq0EEL4mBRpIYTwMSnSQgjhY1KkhRDCx6RICyGEj0mRFkIIHwt4HUAIISorg67fjap+g2WNIZvdHVC8DlWUFGkhxJARCLxNff2pBALvA+C6ATKZCcTjc3DdYR6nK0yGO4SoSVlU9Sug3esgPuJSV3d2V4EGUBQLXX+OurrpHubqXa9n0oZhBIHbgDUBHbjYNM0FFcglhBgQl0jkanT9rwQCn+I4I8lkdqa9/UqgzutwngoGnycY/EfBvlDoJSBb2UD91NeZ9BHAYtM0dwAmAjeWP5IQYqDC4Rupq7uEYPAjFCWNpn1DJDKfhobjvY7mOVX9GkWxi/TGgXQl4/Sb4rpu0U7DMGKAYppm3DCMkcCbpmmu3dsGLct2AwGtxDGFEH1zga2Btwr0xYCXgc0qmshfmsl9/98W6JsAvIDHFxAL7rzX4Q7TNNsBDMOoB+4DzutrLy0tiYGEK6qpqZ7m5nhJt1lqfs/o93zg/4x+zwfQ1BTEtr9EK3iO1E48/iypVK/nWGXl/TEME40eRDR6I4ridLU6TgPt7VNIp9s9zdjUVF+wvc+7OwzDWB14EPiLaZp3ljiXEKJkdBxnRTRtUV6P6+pY1qYeZPKXROIiHGcldP0xFGUxjrMGqdQUMpk9vY5WVF8XDkcBTwEnm6b5bGUiCSEGRiGT+TmBwAcoy3xwzmS2x7K28SaWryikUieTSp3sdZB+6+tM+lygETjfMIzzO9smmqaZLG8sIcRAJBLnoijt6PqDaNq3OE6MbHYH4vHrvI4mBqivMenTgNMqlEUIMWgqHR2Xk0j8hkDgbWx7bRzHu3FoMXjyxKEQNch1G8lmd/U6higBeeJQCCF8TIq0EEL4mBRpIXxAVT9D1+ejae/3/WIxpMiYtBCeSlFfP41Q6GlUtRXHiXbejTED113B63DCB+RMWggPxWJnEw7fh6q2AqCqCXT9b8Ri1XMfrygvKdJCeCZBKFT4GbFQ6EVU9bMK5xF+JMMdYohzCYdndxbLFJa1CcnkqbjuiLLvWVVbUNXmIn3taNp/5B5nIUVaDG2x2EmEw3d0PUat608TCj1Pa+v9ZR8TdpwVsaw1CQb/lddn26OwrC3Lun8ARWlFUdpxnJWRD9b+JD8VUaNcwuEbGDZsVxobN2XYsIno+u09XhEIvEg4fG/ePBfB4DtEo1dVIGOQdPpAXDd/2rp0es+y/iOhKAuprz+KxsYtGDFic4YP34lw+Lay7U8MnJxJi5oUjV5ENHpNt0nevyAYfAtFaQWiaNonBALvoiiZgu8PBAqv4FFqyeSvgQC6fj+a9hWOsyLp9EQSid+Xca8uDQ1HEwq93NUSDL6Lpv0W120gnT6wjPsWy0uKtKhBHZ1nyD1X4VCUNHV1l6CqqX5so1J/GgrJ5K9IJk9HUdpw3VjZ9x0KPUow+Gpeu6p2oOvzpUj7jBRpUXOCwbfQtC8L9vWvQEM2u20pI/WDiusOr8ieNO3DHpPe9+z7X0UyiP6TMWlRc2x7dRyn/4uudl9BznUhnf4ZicRZZUjmD7a9JsVWzXOcFSsbRvRJzqRFzXGctclmt0XXn+7X6xUFUqk9cN1RZLPjSKcPAWp3nc5M5kAs66a8lbNdN0g6vX/nV1l0/W407Sssa0MymX2QczpvSJEWNam9/WoU5QSCwddRFBvXDeG6ka4n+7qzrHWIx+cC4coH9USAtrabqK8/m2DwNRQlhW2vQTJ5GKnUVDTtferrpxEMvgeA66pks+Npa7sd1x3lcfahR4q0qEmOswatrU8QDD5JIGBiWZuhKD8Qi52Bpi3p9rooyeRUhk6BznGc9WltXYCmfYSqft05Bp8bIorFzukq0ACK4hAKvUIs9hvi8du9CTyESZEWNUwhm51INjuxq6WtbQUikdmo6v9w3RVIpQ4mk5nkYUZv2faG2PaGXV9r2rsEg68XfG0w+AqKEsd1C69qLcpDirQYUixrB+LxHbyO4VuqurDoveOKEkdR2qVIV5hcCRA+lUDX70DX7wASXocZMrLZ7bDtNQr22fYGOM5KFU4kpEgL3wmHb6WxcTwNDdNoaJhGY+N4eWS5XzKEw7OIxU6mru43aNp7BV5jk/tHr8g9eMRIJg/DdYM9Wh0nRjJ5DKAUfpsoGxnuEL4SCLxOXd0FqGpbt7bPqau7AMvaFMvaysN0/pV73P1w6utf7GoLh+fT0TGdVOokIEEsdi7B4AsoShu2vS6p1BTS6cPytpVMTsdxRqHrD6Gqi3Cc1UiljhjSY/dekiItfCUcvrNHgV5KVVsJh+fT3i5FupBo9BLgxR5tqtpGNHoN6fSB1Nefjq4/1tWnad8TCHxAbpKng/K2l04fQzp9TJlTi/6Q4Q7hK4rS0kvfkqJ9Q10w+FrBdk1bRGPjOEKhx/L6VLUdXZ9X7mhikORMWviKba/VS59MgF+cXbRH0xYX7QsEPi9HGFFCciYtfCWZnIZlrZfXblmjSSZP8iBRdbCszQb0PscZWeIkotSkSAtfcd1RtLbOIZXaF9teBdtelVRqX1pb58nq2b1IJH4NbLRc78lNJrVHeQJ1o2nvEw7fCrxV9n3Von4NdxiGsQ3wR9M0dypvHCHAcTYmHp8HWORu+ardyY5KxXHWAp6mo+MyAoGPUZSOznk5Ct9qZ9sjSacnkUyeXbZMitJGff2JBIPPo6odQJSGhh2Ix2+uyBqStaLPIm0YxtnAZKCj/HGE6M4Pl0xcQqG7gL9TX5/EssaSTB4P6GXcZ4po9FoCgTcAsKyxJBKnA5E+3rcyicQlnf/vMmzYroRCb+a9Kp3elnj8Vlx31ZKmXlYsdia6/mi3lgS6/jdc91Ti8TvKuu9aorjFJpbtZBjGAcA/gXmmaY7ra4OWZbuBgJz5iFrgAscAc+j58MdPgUfou2gORAbYC1h2mtVdgMdZvn8c/gEcD7zd+bUO7A7cBUQHF7NPrYABLCzQNxx4H1itzBmqTsEnhfos0gCGYawJ3N2fIt3cHO97g8uhqame5uZ4KTdZcn7P6Pd84M+MweCTDBt2GIpi5fW1t5/fuT5haYXDuSlEC2lvv5Rk8uSi7y18DG1CoQfQtC/JZsdhWduVMG1xqvopI0ZsUXS4paXlSSyr0qvf9M3L38OmpvqCRdoPnyeF8CVdf6pggQYIBl8nmSz9PoPBN4r2LR3+WD4amUz+wyrl5jirYdvrEAh8ktdn26th25tUPFO1krs7hCiqt3kqyjOHxbJzZvQUKss+y0MnlToQ1+1ZYlwXUqn9ZCa95SBn0kK6oOGyAAAM50lEQVQUkU7vQTh8O4qSzevLZvsc+RuQTGaPgiudu65KOr1bWfZZLsnkdCCMrj+Aqn6Dpq1CR8fPSSbPGfS2df0udP1hFGUJtr0WqdRxNTuvS7+KtGmaXwDl+a0Uwqey2V1JpQ4nHJ7Xo2im0z/rdWx4MDKZSSSTLxCJzO+a19l1Q6RSh3oybDE4Csnkr0gmzwBSNDU1kUy2D3qrkcil1NVd3W3e69cIhZ4nHr+ZbHbnQW/fb+RMWoiiFNrbryOT2YVhw54jlUqQzY4jlToK6G1YYnD77Oi4lkxmEqHQYygKpNMTyWZ3oXqnCVXI3Qkz+PyKsoRIZE7ewgSa9h2RyA1SpIUYepTOKTonE4/396q/S27O5igDK0wK2ezONVlwBkvXH0bTvi3YFwj8k9wtjNU0dt83KdJClIxLJHIZuv4ImvZprsXVsawxpFJHk8ns73G+7iw07XMcZziu2+R1mH5znGG99EaoxZJWe9+REB6JRi8gGr0WpcfJcwpN+zvB4D9ob7cLzt1caeHwjYTDdxAIfIzrNpDJ7EB7+5/K/gRiKWQy+5DNbkQw+GFeXzY7nlq8Ya32viMhPNFBOPzAMgX6R6oaR9dvr2iiQnR9PrHYHwgGP0JR3M7FFB6loWEq4Hgdrx8CdHRcgG3/pEdrJrM17e1/8ChTecmZtBAloGkmmvZlr68JBP5Dbt5n76ZN0PV7UJRUXnsw+Bqh0CNkMvt6kGr5ZLN70NIylnD4VlT1eyxro85lwMp1MddbUqSF6CdN+4BQ6FEgQio1ucdMbo6zOo4zHFX9oej7HWc4Xn941bSvC7YrioOmmRVOM3CuO7KsM/j5iQx3CNEnFziR4cN3Jxa7lFjsfBobt0XX5/74CreJTGanXreSu1vD29vobHvlgu2uq2Db+YstCO9JkRaiD+HwTOAWVPXHW/A07Rvq6i5EVb/qamtvv5Z0eiKuGwZyj0ADOE6EVGoSHR3ej5mm0wfiuvm3qGWzWxcd6lCUOMHgy6jqf8sdTxQgwx1C9CEUeoqeU5XmaFoz4fBsEonfAeC6I2hruwdNe5dg8C2gA0WBTGYCtr15ZUMXkU5PQVUXEw7fSSDwHxynjmx2O9rb/0T+OZtLNHoB4fD9aNpXOE6MbHYC8fi1uO5KXsQfkqRIC9EHRSn+EIui5D/mbNtjsO0x5Yw0KMnkmSSTJ6Np7+O6K+I4Pyn4ukjkSqLR67qmG82tLv44kKSt7eEKJh7aZLhDiD7Y9voF211XIZvdusJpSkXHtrcqWqABdP2RgvNBh0KvEAi8WM5wohsp0kL0IZE4Bci/qJbJ7OKzpwhLyUFVvyvYoygZAoH8h0lEechwhxB9cJx1gQdIJi/tnB8iRCazHYnEedTueY6K46yGpuUXateNYFlbepBpaJIiLUS/bEx7+81eh6ioVOoAAoF381anyWR2wrKqdZin+kiRFkIUlEqdhKKk0PV7Ou8EGUk2uxPt7Vd5HW1IkSIthCgqdyfIKajq17juCFy3t1noRDlIkRZC9CGE46zldYghq1avegghRE2QIi2EED4mwx1CiKqhqp8QicxEVZux7dVIJk/EdVfxOlZZSZEWQlSFUGgBsdiZaNrCrrZw+CHa2m7GssZ7mKy8ZLhDCFEFHKLRK3sUaABN+4Jo9I8eZcpR1c/Q9TvRtPI8hSln0kII3wsEXicQeK9gXzD4JorS7MGCuknq66cRCj2DqrZ2zig4gXh8Ro8FIQZLzqSFEFXApdB0sT/2VX59xljs14TD96OqrQCoage6/gSx2Ckl3Y8UaSGE71nWNljWJgX7stktcd1RFU7UQSj0bMGeUOgFVPWLku1JirQQot9U9X+EwzMJBp+gsmevGsnk6dj2Cj1abXs1EomzKpgjR1WXoKrNRfriaNp/SravPsekDcNQgb8AmwFp4FjTND8pWQIhRBVwqKs7C11/EE1bjOsqWNYWtLdfgWWNrUiCdPogLGs0kcjtqOoibHtVkskTcJx1KrL/7hxnFLa9FoFA/uK9tj0Ky9qiZPvqz5n0JCBsmuZ44BxAZlcRYoiJRK4lEpmFpi0GQFFcgsG3icVOB7IVy2Hbm9Hefg1tbfPp6LjCkwKdEyKV2h/XzS+h6fTeuO7Iku2pP0V6e+BJANM0XwO2KtnehRBVIRR6AqXAQufB4Pvo+r2VD+QDyeQ5dHT8lmx2YxxnGJY1mo6O0+no+FNJ99OfW/AagNZuX9uGYQRM07QKvbixMUogoJUk3FJNTfUl3V45+D2j3/OB/zP2zGcCTwPrArsDBSqYB8p3DFuK9jQ0fA/0b79+/xnD8mb8A/B7oA1VjREIBKirK22e/hTpNnr+BNRiBRqgpSUx6FDdNTXV09xcfCFQP/B7Rr/nA/9n/DFflljsJHT9CVS1FdfVyGbHEo9fj+MUXgux8hlLr6FhLXT933ntrhvihx/GYFl979fvP2MYTEYNSA5634X0Z7jjFeDnAIZhjAPeH1QSIapYNHohkcjdXffGKopNKPQa9fWnUvw+3uqXTE7BcfLnks5kdsGydvQg0dDRnyL9IJAyDONV4BrgjPJGEsKvXEKhpwv2BINvEgwW7qsF2eyexOPXkU5PwLZXxLLWIZk8hra22V5Hq3l9DneYpukAJ1YgixA+Z6OqhcdmFcVG0z4jW7kbHSouk9m/c3X0LLnS4Y9x+FonD7MI0W8BbHvtgj2O00Ams1Nl43gmiBToypEiLcRySKUm4zj5l+8zmYmeXzgUtUlmwRNiOaTThwMK4fBcNO0THGcEmcyuJBIXeh1N1Cgp0kIsp3T6MNLpwwCL3K1X8tFflI8UaSEGTP58RPnJmLQQQviYFGkhhPAxKdJCCOFjUqSFEMLHpEgLIYSPKa5bu5PCCCFEtZMzaSGE8DEp0kII4WNSpIUQwsekSAshhI9JkRZCCB+TIi2EED4mRVoIIXzMd9N4GYYRAe4AVgTiwFGmaTYv85oFwEhy6/gkTdOcWIFcKvAXYDMgDRxrmuYn3fqPA04gN3/lxaZpPlruTAPIeD2wHbnjCrCvaZqtHuTcBvijaZo7LdO+N/A7csfwNtM0Z1Y6W2eOYvl+BUwFlv4+nmCaplnhbEHgNmBNQCf3u7agW7+nx7Af+fxwDDVgJmAANnC0aZqfduv3xe/hUr4r0sAvgfdN0/y9YRiHAOcBpy3zmnWBjUzTrOSTOJOAsGma4ztXTb8K2BfAMIyVgFOBrYAw8LJhGE+bppmuYL5eM3baAtjdNM3vK5yri2EYZwOTgY5l2oPkFjoe29n3imEYj5im+Z0f8nXaAjjSNM23K5lpGUcAi03TnGwYxkjgHWAB+OYYFs3XyQ/HcG8A0zS3MwxjJ+Bqfvxb9sMx7MGPwx3bA092/v8TwK7dOw3DGAUMBx4xDONlwzD2qnQu0zRfI1eQl9oaeMU0zXTnmeknwKYVytVd0YydZ9nrAbcYhvGKYRjHeJAP4FNg/wLtGwCfmKbZYppmBngZ2KGiyXKK5QPYEpje+Xs3vYKZuvsrcH63r61u/++HY9hbPvDBMTRN8yHg+M4v1wAWduv2wzHswdMibRjGVMMwPuj+HzAMWPoRPN75dXchcmeIk8j9MV1jGMaKFYjb0C0XgG0YRqBIX6HcldBbxjrgBnJnOnsA0wzDqPg/JKZp3k9umGpZvjiGveQDuBs4EdgF2L6CJwhdTNNsN00zbhhGPXAfuU+aS3l+DPvIBz44hgCmaVqGYcwh9zdxX7cuz4/hsjwt0qZp3mqa5sbd/yN3gOo7X1IP/LDM274DbjJN0zJNcxG5j1NGBeK2dcsFoJqmaRXpK5S7EnrLmACuM00zYZpmHHiO3Ni1X/jlGBZkGIYCXGua5vedZ1iPAZt7lGV14Hlgnmmad3br8sUxLJbPT8cQwDTNo4DRwEzDMJauLuyLY9idH8ekXwF+DrwBTAReWqZ/V+BkYE/DMGLAxsDHFcq1N3Bv53jv+9363gAuMQwjTO5iyQbABxXItKzeMo4G7jYMYwty/zhvD8ypfMSiPgbWMwxjBNAOTACu9DZSDw3AB4ZhbEBurHIXchfIKqpzuO8p4GTTNJ9dptvzY9hHPr8cw8nAaqZpXkbu5MUhdwERfHAMl+XHIj0DmGMYxstABjgMwDCMK4D7TNN8wjCM3Q3DeI3cwT23QhfCHgR+ZhjGq+RWHj2680r1J6ZpLui8c+IlcgXwt6ZppiqQaXkzzgdeI/dxfq5pmh96kLEHwzAOA2Kmad7SmfVv5I7hbaZpfu1turx855I7Q0wDz5qm+bgHkc4FGoHzDcNYOvY7E6jzyTHsK58fjuEDwGzDMF4EgsDpwP6GYfjy91CmKhVCCB/z490dQgghOkmRFkIIH5MiLYQQPiZFWgghfEyKtBBC+JgUaSGE8DEp0kII4WP/D+BKU87XPF7+AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets.samples_generator import make_blobs\n", "X, y = make_blobs(n_samples=50, centers=2,\n", " random_state=0, cluster_std=0.60)\n", "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "A linear discriminative classifier would attempt to draw a straight line separating the two sets of data, and thereby create a model for classification.\n", "- For two dimensional data like that shown here, this is a task we could do by hand.\n", "- there is more than one possible dividing line that can perfectly discriminate between the two classes!\n", "\n", "We can draw them as follows:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2018-05-20T16:09:50.841843Z", "start_time": "2018-05-20T16:09:50.677041Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xfit = np.linspace(-1, 3.5)\n", "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n", "plt.plot([0.6], [2.1], 'x', color='red', markeredgewidth=2, markersize=10)\n", "\n", "for m, b in [(1, 0.65), (0.5, 1.6), (-0.2, 2.9)]:\n", " plt.plot(xfit, m * xfit + b, '-k')\n", "\n", "plt.xlim(-1, 3.5);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "These are three *very* different separators which, nevertheless, perfectly discriminate between these samples.\n", "- Depending on which you choose, a new data point (e.g., the one marked by the \"X\" in this plot) will be assigned a different label!\n", "- Evidently our simple intuition of \"drawing a line between classes\" is not enough, and we need to think a bit deeper." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Support Vector Machines: Maximizing the *Margin*\n", "\n", "The intuition is this: \n", "- rather than simply drawing a zero-width line between the classes, we can draw around each line a *margin* of some width, up to the nearest point.\n", "\n", "Here is an example of how this might look:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2018-05-20T16:12:37.279095Z", "start_time": "2018-05-20T16:12:37.099027Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xfit = np.linspace(-1, 3.5)\n", "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n", "\n", "for m, b, d in [(1, 0.65, 0.33), (0.5, 1.6, 0.55), (-0.2, 2.9, 0.2)]:\n", " yfit = m * xfit + b\n", " plt.plot(xfit, yfit, '-k')\n", " plt.fill_between(xfit, yfit - d, yfit + d, edgecolor='none',\n", " color='#AAAAAA', alpha=0.4)\n", "\n", "plt.xlim(-1, 3.5);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "> ## The line that maximizes this margin \n", "\n", "is the one we will choose as the optimal model.\n", "- Support vector machines are an example of such a *maximum margin* estimator." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Fitting a support vector machine\n", "\n", "We will use Scikit-Learn's support vector classifier to train an SVM model on this data.\n", "- For the time being, we will use a linear kernel and \n", "- set the ``C`` parameter to a very large number\n", " - we'll discuss the meaning of these in more depth momentarily" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:19:53.481610Z", "start_time": "2018-05-29T06:19:53.387445Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "SVC(C=10000000000.0, cache_size=200, class_weight=None, coef0=0.0,\n", " decision_function_shape='ovr', degree=3, gamma='auto', kernel='linear',\n", " max_iter=-1, probability=False, random_state=None, shrinking=True,\n", " tol=0.001, verbose=False)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.svm import SVC # \"Support vector classifier\"\n", "model = SVC(kernel='linear', C=1E10)\n", "model.fit(X, y)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "To better visualize what's happening here, let's create a quick convenience function that will plot SVM decision boundaries for us:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:20:46.354394Z", "start_time": "2018-05-29T06:20:46.322033Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "def plot_svc_decision_function(model, ax=None, plot_support=True):\n", " \"\"\"Plot the decision function for a 2D SVC\"\"\"\n", " if ax is None:\n", " ax = plt.gca()\n", " xlim = ax.get_xlim()\n", " ylim = ax.get_ylim()\n", " \n", " # create grid to evaluate model\n", " x = np.linspace(xlim[0], xlim[1], 30)\n", " y = np.linspace(ylim[0], ylim[1], 30)\n", " Y, X = np.meshgrid(y, x)\n", " xy = np.vstack([X.ravel(), Y.ravel()]).T\n", " P = model.decision_function(xy).reshape(X.shape)\n", " \n", " # plot decision boundary and margins\n", " ax.contour(X, Y, P, colors='k',\n", " levels=[-1, 0, 1], alpha=0.5,\n", " linestyles=['--', '-', '--'])\n", " \n", " # plot support vectors\n", " if plot_support:\n", " ax.scatter(model.support_vectors_[:, 0],\n", " model.support_vectors_[:, 1],\n", " s=300, linewidth=1,facecolors = 'none', edgecolor=\"black\");\n", " ax.set_xlim(xlim)\n", " ax.set_ylim(ylim)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:21:06.272513Z", "start_time": "2018-05-29T06:21:06.129579Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n", "plot_svc_decision_function(model);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "This is the dividing line that maximizes the margin between the two sets of points.\n", "Notice\n", "- A few of the training points just touch the margin: \n", " - indicated by the black circles\n", "- These points are the pivotal elements of this fit, and are known as the **support vectors**, and give the algorithm its name.\n", "\n", "In Scikit-Learn, the identity of these points are stored in the ``support_vectors_`` attribute of the classifier:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:22:48.100249Z", "start_time": "2018-05-29T06:22:48.095367Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.44359863, 3.11530945],\n", " [ 2.33812285, 3.43116792],\n", " [ 2.06156753, 1.96918596]])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.support_vectors_" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "A key to this classifier's success is that for the fit, **only the position of the support vectors matter**; \n", "- any points further from the margin which are on the correct side do not modify the fit!\n", " - Technically, this is because these points do not contribute to the loss function used to fit the model, \n", " - so their position and number do not matter so long as they do not cross the margin.\n", "\n", "We can see this, for example, if we plot the model learned from the first 60 points and first 120 points of this dataset:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:25:29.120734Z", "start_time": "2018-05-29T06:25:29.105046Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "def plot_svm(N=10, ax=None):\n", " X, y = make_blobs(n_samples=400, centers=2,\n", " random_state=0, cluster_std=0.60)\n", " X = X[:N]\n", " y = y[:N]\n", " model = SVC(kernel='linear', C=1E10)\n", " model.fit(X, y)\n", " \n", " ax = ax or plt.gca()\n", " ax.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n", " ax.set_xlim(-1, 4)\n", " ax.set_ylim(-1, 6)\n", " plot_svc_decision_function(model, ax)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:25:47.817246Z", "start_time": "2018-05-29T06:25:47.522572Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n", "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n", "for axi, N in zip(ax, [60, 120]):\n", " plot_svm(N, axi)\n", " axi.set_title('N = {0}'.format(N))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "In the right panel, we have doubled the number of training points, but the model has not changed: \n", "- the three support vectors from the left panel are still the support vectors from the right panel.\n", "\n", "This insensitivity to the exact behavior of distant points is one of the strengths of the SVM model." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "If you are running this notebook live, you can use IPython's interactive widgets to view this feature of the SVM model interactively:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:27:54.057472Z", "start_time": "2018-05-29T06:27:53.911815Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from ipywidgets import interact, fixed\n", "interact(plot_svm, N=[10, 400], ax=fixed(None));" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Beyond linear boundaries: Kernel SVM\n", "\n", "Where SVM becomes extremely powerful is when it is combined with *kernels*.\n", "\n", "We have seen a version of kernels before, in the basis function regressions of [In Depth: Linear Regression](05.06-Linear-Regression.ipynb).\n", "- There we projected our data into higher-dimensional space defined by polynomials and Gaussian basis functions, \n", "- and thereby were able to fit for nonlinear relationships with a linear classifier.\n", "\n", "To motivate the need for kernels, let's look at some data that is not linearly separable:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:41:04.145020Z", "start_time": "2018-05-29T06:41:04.012953Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets.samples_generator import make_circles\n", "X, y = make_circles(100, factor=.1, noise=.1)\n", "\n", "clf = SVC(kernel='linear').fit(X, y)\n", "\n", "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n", "plot_svc_decision_function(clf, plot_support=False);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "No linear discrimination will *ever* be able to separate this data.\n", "\n", "- But we can draw a lesson from the basis function regressions in [In Depth: Linear Regression](05.06-Linear-Regression.ipynb), and \n", "> - think about how we might project the data into a higher dimension such that a linear separator *would* be sufficient.\n", "\n", "For example, one simple projection we could use would be to compute a **radial basis function** centered on the middle clump:" ] }, { "cell_type": "code", "execution_count": 86, "metadata": { "ExecuteTime": { "end_time": "2018-05-21T06:36:15.790714Z", "start_time": "2018-05-21T06:36:15.785817Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "array([0.01529205, 0.0004515 ])" ] }, "execution_count": 86, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(X ** 2)[0]" ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "ExecuteTime": { "end_time": "2018-05-21T06:35:14.056971Z", "start_time": "2018-05-21T06:35:14.052505Z" }, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "0.01574354917480716" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(X ** 2)[0].sum()" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "ExecuteTime": { "end_time": "2018-05-21T06:35:01.981552Z", "start_time": "2018-05-21T06:35:01.976869Z" }, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "0.01574354917480716" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(X ** 2).sum(1)[0]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:41:11.335560Z", "start_time": "2018-05-29T06:41:11.332222Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "r = np.exp(-(X ** 2).sum(1))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "We can visualize this extra data dimension using a three-dimensional plot\n", "- if you are running this notebook live, you will be able to use the sliders to rotate the plot:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:41:13.437793Z", "start_time": "2018-05-29T06:41:13.221451Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits import mplot3d\n", "def plot_3D(elev=30, azim=30, X=X, y=y):\n", " ax = plt.subplot(projection='3d')\n", " ax.scatter3D(X[:, 0], X[:, 1], r, c=y, s=50, cmap='autumn')\n", " ax.view_init(elev=elev, azim=azim)\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", " ax.set_zlabel('r')\n", "\n", "interact(plot_3D, elev=[-90, 90], azip=(-180, 180),\n", " X=fixed(X), y=fixed(y));" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "We can see that with this additional dimension, \n", "- the data becomes trivially linearly separable, \n", " - by drawing a separating plane at, say, *r*=0.7.\n", "\n", "Here we had to choose and carefully tune our projection: \n", "> if we had not centered our radial basis function in the right location, we would not have seen such clean, linearly separable results.\n", "\n", "To make such a choice is a problem: we would like to somehow automatically find the best basis functions to use." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Strategy\n", "\n", "To compute a basis function centered at *every* point in the dataset, and let the SVM algorithm sift through the results.\n", "- This type of basis function transformation is known as a **kernel transformation** \n", " - as it is based on a `similarity relationship` (or `kernel`) between each pair of points.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "### Problem\n", "Projecting $N$ points into $N$ dimensions might become very computationally intensive as $N$ grows large.\n", "- The [*kernel trick*](https://en.wikipedia.org/wiki/Kernel_trick), a fit on kernel-transformed data can be done implicitly\n", " - without ever building the full $N$-dimensional representation of the kernel projection!\n", "- This kernel trick is built into the SVM, and is one of the reasons the method is so powerful." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "In Scikit-Learn, we can apply kernelized SVM simply by changing our linear kernel to an RBF (radial basis function) kernel, using the ``kernel`` model hyperparameter:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:48:40.480492Z", "start_time": "2018-05-29T06:48:40.474241Z" }, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "SVC(C=1000000.0, cache_size=200, class_weight=None, coef0=0.0,\n", " decision_function_shape='ovr', degree=3, gamma='auto', kernel='rbf',\n", " max_iter=-1, probability=False, random_state=None, shrinking=True,\n", " tol=0.001, verbose=False)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf = SVC(kernel='rbf', C=1E6)\n", "clf.fit(X, y)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:48:48.198069Z", "start_time": "2018-05-29T06:48:48.065492Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n", "plot_svc_decision_function(clf)\n", "plt.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1],\n", " s=300, lw=1, facecolors='none');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Using this kernelized support vector machine, we learn a suitable nonlinear decision boundary.\n", "\n", "This kernel transformation strategy is used often in machine learning to turn fast linear methods into fast nonlinear methods, especially for models in which the kernel trick can be used." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Tuning the SVM: Softening Margins\n", "\n", "Our discussion thus far has centered around very clean datasets, in which a perfect decision boundary exists.\n", "\n", "But what if your data has some amount of overlap?\n", "\n", "For example, you may have data like this:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:52:25.680071Z", "start_time": "2018-05-29T06:52:25.490767Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X, y = make_blobs(n_samples=100, centers=2,\n", " random_state=0, cluster_std=1)\n", "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The SVM implementation has a bit of a fudge-factor which \"softens\" the margin: \n", "- it allows some of the points to creep into the margin if that allows a better fit.\n", "\n", "The hardness of the margin is controlled by a tuning parameter, most often known as $C$.\n", "- For very large $C$, the margin is hard, and points cannot lie in it.\n", "- For smaller $C$, the margin is softer, and can grow to encompass some points.\n", "\n", "The plot shown below gives a visual picture of how a changing $C$ parameter affects the final fit, via the softening of the margin:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T06:55:33.134946Z", "start_time": "2018-05-29T06:55:32.823643Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X, y = make_blobs(n_samples=100, centers=2,\n", " random_state=0, cluster_std=1)\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n", "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n", "\n", "for axi, C in zip(ax, [50.0, 0.1]):\n", " model = SVC(kernel='linear', C=C).fit(X, y)\n", " axi.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n", " plot_svc_decision_function(model, axi)\n", " axi.scatter(model.support_vectors_[:, 0],\n", " model.support_vectors_[:, 1],\n", " s=300, lw=1, facecolors='none');\n", " axi.set_title('C = {0:.1f}'.format(C), size=14)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The optimal value of the $C$ parameter will depend on your dataset, and should be tuned using cross-validation or a similar procedure (refer back to [Hyperparameters and Model Validation](05.03-Hyperparameters-and-Model-Validation.ipynb))." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Example: Face Recognition\n", "\n", "As an example of support vector machines in action, let's take a look at the facial recognition problem.\n", "- We will use the Labeled Faces in the Wild dataset, which consists of several thousand collated photos of various public figures.\n", "\n", "A fetcher for the dataset is built into Scikit-Learn:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T07:00:39.867636Z", "start_time": "2018-05-29T07:00:34.357240Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['Ariel Sharon' 'Colin Powell' 'Donald Rumsfeld' 'George W Bush'\n", " 'Gerhard Schroeder' 'Hugo Chavez' 'Junichiro Koizumi' 'Tony Blair']\n", "(1348, 62, 47)\n" ] } ], "source": [ "from sklearn.datasets import fetch_lfw_people\n", "faces = fetch_lfw_people(min_faces_per_person=57)\n", "print(faces.target_names)\n", "print(faces.images.shape)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Let's plot a few of these faces to see what we're working with:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T07:02:18.538576Z", "start_time": "2018-05-29T07:02:18.102585Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(3, 5)\n", "for i, axi in enumerate(ax.flat):\n", " axi.imshow(faces.images[i], cmap='bone')\n", " axi.set(xticks=[], yticks=[],\n", " xlabel=faces.target_names[faces.target[i]])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Each image contains [62Ă—47] or nearly 3,000 pixels.\n", "\n", "We could proceed by simply using each pixel value as a feature, \n", "- but often it is more effective to use some sort of preprocessor to extract more meaningful features; \n", "- here we will use a principal component analysis (see [In Depth: Principal Component Analysis](05.09-Principal-Component-Analysis.ipynb)) to extract 150 fundamental components to feed into our support vector machine classifier.\n", "\n", "We can do this most straightforwardly by packaging the preprocessor and the classifier into a single pipeline:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T07:05:58.436550Z", "start_time": "2018-05-29T07:05:58.416468Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/datalab/Applications/anaconda/lib/python3.5/site-packages/sklearn/utils/deprecation.py:58: DeprecationWarning: Class RandomizedPCA is deprecated; RandomizedPCA was deprecated in 0.18 and will be removed in 0.20. Use PCA(svd_solver='randomized') instead. The new implementation DOES NOT store whiten ``components_``. Apply transform to get them.\n", " warnings.warn(msg, category=DeprecationWarning)\n" ] } ], "source": [ "from sklearn.svm import SVC\n", "from sklearn.decomposition import RandomizedPCA\n", "from sklearn.pipeline import make_pipeline\n", "\n", "pca = RandomizedPCA(n_components=150, whiten=True, random_state=42)\n", "svc = SVC(kernel='rbf', class_weight='balanced')\n", "model = make_pipeline(pca, svc)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "For the sake of testing our classifier output, we will split the data into a training and testing set:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T07:07:07.288693Z", "start_time": "2018-05-29T07:07:07.278167Z" }, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "from sklearn.cross_validation import train_test_split\n", "Xtrain, Xtest, ytrain, ytest = train_test_split(faces.data, faces.target,\n", " random_state=42)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Finally, we can use a grid search cross-validation to explore combinations of parameters.\n", "Here we will adjust ``C`` (which controls the margin hardness) and ``gamma`` (which controls the size of the radial basis function kernel), and determine the best model:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T07:10:03.309758Z", "start_time": "2018-05-29T07:09:52.378507Z" }, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 42.1 s, sys: 784 ms, total: 42.9 s\n", "Wall time: 10.9 s\n", "{'svc__gamma': 0.001, 'svc__C': 1}\n" ] } ], "source": [ "import warnings \n", "warnings.filterwarnings(\"ignore\") \n", "\n", "from sklearn.grid_search import GridSearchCV\n", "param_grid = {'svc__C': [1, 5, 10, 50],\n", " 'svc__gamma': [0.0001, 0.0005, 0.001, 0.005]}\n", "grid = GridSearchCV(model, param_grid)\n", "\n", "%time grid.fit(Xtrain, ytrain)\n", "print(grid.best_params_)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The optimal values fall toward the middle of our grid; if they fell at the edges, we would want to expand the grid to make sure we have found the true optimum.\n", "\n", "Now with this cross-validated model, we can predict the labels for the test data, which the model has not yet seen:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T07:10:49.841371Z", "start_time": "2018-05-29T07:10:49.785314Z" }, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "model = grid.best_estimator_\n", "yfit = model.predict(Xtest)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Let's take a look at a few of the test images along with their predicted values:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T07:11:17.767866Z", "start_time": "2018-05-29T07:11:17.103024Z" }, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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lmOY5SkGRl1RFCY4im2QUWcFkOCFPc4ZbA7JpRpGXDDYHbJ7b5MLaoxw9fh3pJOW1r/2hJ7yOH/dxLzA722ugFIuLx2g2u9x2950sHFmgtdCS+iqFox20dnBcjXY1Sj22KMYYqrKizAvSSbrnc+TzsqQqKrJpSp4VmMow3B4yHU2Zjqbcd889lGXBm970O094HQE+4zNeZjY3H8UYQ6+7Squ9QO9Ij6AREDZColaEF3r4gSd11g6OI3NPKSV9rsDRup6zXuBR5iVlIVOnKkuUUqTTjOlwQpGXZJOM/kaf0faQrbVtBoMNgqDB61//6ie8nqur1z8mTaNSilarx6mTT+K2p91FNs34wHsTbrjlVgDai226K11O3HKCzlKHhVaTxVaT0yurdKKIrCzZHo2Y5jkPXLiAdhRpXnDfvQ+x/vA6AP/wx2/ive99M9PpSF5qDMYe4be+/vBl63hVhK9SCmMM6SQlHU1xfY/Ocgcv8GRiZTnZJKOqDI4ryndZzuSey+xgVqUU2nXAdn42zTCVFdTGUBUlVWUo8oKqKHFcXQ8CrTWuq/EC/6DFfiu7R3QfCEEQ4Xkh7YUOXuhhjMFUlUxSV6M9lyAKCJshC0d6uL5XC1g38CiLElUo/NB/zMSeDXiASZZRlCXaccnTvJ7cZVHiaEV7sU2rtbDb8U8wskmKMRVB0CCIAhxXY4z0jWMXSWMMpihRjtTbceWA4LzcXcvSQsru6MdutpRSsgBVu31elTJwXd8lakUEOxF5muE4V0UmSVmLjCBo4Lo+jUaHRrtB0AhwPZkiInhUXTcpK7Y9DKasAIW236upHOw7S9lqjLFtpnC0RmsDmt2+NoZGo0Oajq9aHY0RRScIGriej+u7eL6H67ooR+F6Gtd1cX0Pxy4usx/tOnVdZguP4zqP+c4Yg4NGOQqtNX4YUBYTqqqq73Vte+V5ul9RHzccZ7ecAFq73H77x3PTU24iajd475vfyw233EqRFxy98SjLJ5dxXU2jHdWC97qlZXrNJp6Wuei5MgZ8rdkaj9nc3MFxNdc9+XrKvOBj1bMJgyZveevrZRwrhTLUAvhyuGrC19EOo+0Rru+itMP6w+vkqQzIVq+N63sA5KloOcpReIGH9nStxRpj5DsrzIusoCplok5HU8pcJvdMcM+uEyHn4YU+RX6pE9EviXNKqY8H3mKMOdDICIMmnc5yrc2DDExTVmAMzV4LL/CIWhHtxQ7a01RFSZGXOI4jrW8MrufWGmExSu2kcNGeS14ZzmxtkU+zWusti1IWorJCuw5LSydYX394/8I+TkynY8KwUWvsVVGi7aCUxcagQxftalzPJWgEtMMQbb+vjCEvS0LPB+lyjCeDMisKPF8WrWwi9REhJZqiKSs832VhaYWqqnA9vU9JHz+OHTvN0aM30uw28SOfzlKH9mIbL/AwlaGyyoDWUkfHESHseS7NIEA7sqAMp1PyoqQsS6ajKaaqUI4DVVULX+Vq3EoW6bKoCBqBtFNV0e72CNPmfkX9kFCWOe32IkopwrCJF3iEzaBWCsJWhB/5eL4n49gKMcdqwCBzLGgEOK585nkuldX4jTHkaU6R5ZhK/nZ9Fz/wyNOcspR2LIucMLx69XQcjTEVx4/dzCc873lkac65+88z2Nnmjo97CqvXH7GLhiZqR3QW2iy323SjiND3KKy2azC4jsZ1HAZ5judKfw8Cj2ySkU5Seis9bnn6LTz7U5/Bb/zYCn//N3/E1tb5xywAl8NVEb5VVTHpj1lYXaDICtY21ugstvECn6qsyKYZVVVZKiGXLZgxFFkuE1uLhjDrUM/3qKoKx1GYSjQu13PBGMpCnlPmBZUd1DMhDJBZDeQAuBv4GwCllEGO6TbGmMvOeIMBqwHOttFYWa880Q601jiuUwve6UiEtOe7gANWs6oqg3J2BzaVEQFrDFErwvU90nFaL1bpOKUqSpR2CMMmVXUoxuTA0NqzAsLWayZUraaq7Rbc0Y5ogkrhuy7acUjzvF79taNwHY12HMaZ9ImjFJVdfFzfrZ9ZVUa2r1ooqKARUFUVXuBdlTpGrRBjDK1eE6UdPN9D7dGyTWXA2Z1MjqsJfI9mENCOIhylKKuKopJFtShlfNYLvx0HUrfqMe92HDueXdfu5K5OPwIoFFp7GFPh+q7tN43raalzremCme1EnF3B6zhCPcwEr+M4VLU27FCVlnYpKqrZrscqULmlyYqiJMtT3Kuq4Vc0Gh3ufvYnc9cn38U//ek/U2Q5nYUFFo4u0uw0iToRvXaL0PMIPQ/PdfE9D0+7ti8rPK0ZZxmboxHTLKMVhiy1WgCcNYb+hT7DrQHd5S55WfLiV/xHjt9ygtf9+m/y6Jn3X7GcV03zBZiOp4y2h7UmKg0jnVVkOdNRivZ03ZFlUTHYHNRagvZ0veoqZZ9rJ4VwUA4iJ61QKAq06+KHDuk4JZtkqAPuVI0xK4euJwqtRWiUZSXnxXq7ZXMcWQTKXDQh7epa08FRKGNwfRfXdWuBVmRFzfs6RpFNcwYbfdxANMR0nApd4zhMpxMAPC9AqatjO/U86TulFEVR4IWiJc1oniIvUBNwfU9oFs/Ds4LG1ZqqMFYLhqIqKfdoga6WBSoFgsgHY0RThF3qwZO2UcXulv6JhjEGL/DxAh9jDPoiDVs5ir0DSbuayPdpBgGdKBLFoSwpqhLXKcjLkr7r4FQOVWm3oTNhXlFvw3epFvnMcTVVenW24wCOdinLHK29mu4wts29wKt3L47We+6RcVyWFWVp0OxqwI5WaLVLkRllyFxd22aMVY7KUmwzeZpRFrmM43RyderoiMZ+xx3P5u7n3s1kOCWdpHSWO0TtBlErknJrjbO3T5WiKEvRn8qSvCzxtCgLzSDAdZx6N7fUauE6DucDjwtnNkjTjKDT4UnHj9P5vOewdX6L3/nlKx86flWE73Q0xbdaysp1q2hXs3V+y/K9BUEUoJRM2LAZ1LxsVVZErajmj7zAw9EygE1VyQqa5uRpxmhHVk5jDNpyvaaqhD91NWVZsfbQWr1qXwlKKR85djwGvho5+vx7jTGXVZ39ICIMmzTaEY6rmfTHRC3p5Fn9tdV609GUoBlSKTGwnbt/E2OMGKuUIs8KqrIkbEV4vlsLvDzNmAynVqMoRHhXMNjsoz2XqhQ+1vfDx9td+6K92MH17TCphB5wnF1NfjIYQ7uB63tiaMpzdtjlOF3HIfQ8sqLAIIa32TYdqzFWVUU6Thn1x+QzI2XkM9oeMh6MH2OovBpwfY+oFdLoRDS7LVzfrWkVdRHP7Dii2c+0XnfPdtx1NMa1W/NQFpPKPqcwInRmQs8LfJQjtgpjqBdmz796xyoWRcrm5jlOnLgVR1uKzrMasONYjVZZe4WlzyzKohRDktFkk6xeCMui3FWWZp+VJXlWoJTCj4T6q8qKyWREnqd02ovkxYF3pIeC4zgEQYPP+srPJk9zzt73KM1Og85Sh2avheOoumztMCTyRfb4rsvGcEhlDMFMGTIGV2s6UQQIreRqzSTLyMuSVhCSLXco85LBdEqa5yy1Wrzwi5/Pa3/91ZTl/pTnVelp7WrZDjdCJoMJg81+bfnvLLbprvTQrhatAOqtjlLa0gu7RoiqrCwnqnB0UV9fFlWtKRZ5YflCeX9VlBRZTn9j5zDF/klgHXg6Qh7cAvwi8IX73eR5siWvihLXCtyqKBlnBUWWE2WN+lrlODQ6DfzI52h4lLIoKfMS7e1azmeCaDKcUOYlfujLtibN2Di7yWQwrg1fZVmJtuJ6uO7V2ZJLua0AmmnyRSleKXss/8YYJsOpcPVNQ+j5BK5bb2UNBoVou5N89/zMohJO3w99WYCsMK6KXR7fcRyKrMAPD2w8PRRcy69ra1gxRgzBritc/F76bqblTvMcN03r8VpVFWkh9JmjFNpz8SpDnuXWG6BC7Wk/pZRQZJauqUqxY8wWn6uByWSIqSpcVxZ219N4gVfbWhzHqXdsVVHJvJpx1WpmkxHj3GzsFtb4O2tH12q+VVEKDWWNsu2FFtPhhI2NIa1mjyBoXKG0jx+dzhKOdhgPxkyG03rXUmQ5k6HQJmEzRC3NPHBEIVhoNhmlad2/ozStFYWZNuxqR3a8lnKJwoCpssZVS7Ed6XZZWDjChQtn9i3nVRG+pfU+GA/GDDYHhM2QE7eclJXdbp9dV1MUJf0LfaajaT2IderUPBT4OFpZy75Ta7lVUdaaUJ6KIQqk8x37vTEwHvfJ8wOvsE83xjxNKfVcY8xYKfWfgXftd4NSDq4rnOhsRXW0xgt9tKsZbg9JJyl+5NNaaGOsYNWu1NGzvFuRF3i+S1UZ+hvSHjOtASDPchxXi1vMcpd0kjI5s2HLIJPCda+OYBL+3an7Z6+hLWiIC1aRF/UW1nEdGn7wGG23KBVlZXAdVbudzeiHsti1hDuOTAqtNZPhRIymwe7kvpJgUkp9mTHmZ5VS33qp740x33G5e8UgJMYyba34jlZ2UTR7ngFlWTHNc8qqIvN9XMehNBWTLKu3qq6rKcsSp3CoVPVBGnRltcPZWC3LknQyZXv7/BX75PHWM8umpOnYUnqyu/IjHz/0raHNFdrB1ZTWCG4KoU0838WPZP6WpQheYwwmk8WkKkpMZTD+blsV9hrHcegsd6TdpmPSbEKj0bliPR8PfD9idfUGRttDhlvDWmPPswKUImxFaK3ZWd9hY6FDWVWMJ1Nc16UVhWSF0EZlUYqdwffYHo9I7RgPXJe8LEUYW62/zEu2tvtsLY5phyGdKOL48ZvZ3Dy7b1mvivBNxymNbpPRzoioFXH09NHHuFO5gXBOblWhtSbPchn8M6OZMSjt7LqwVBWluD+Iq5mrcWYuZqWpaQsxyAnBL6t2RZYdmFsylnqYjZ5l2N9XRGuXMBSPBsdxKPKSZrdJ1AoJogA/9CjykjIvyLO8piKq0jAdjfACH+06TIZT4XqtEJo9Y6Z2FXnJaHtINs3wQ1+Ere/WAgO4apqvYw2GTrUrhF21645UuxD54umgtaYyph7EYHcqVYV2FHlZ7GrDll4SDxbZ4ruui/Eq/FDcEmeuaI9RPy8PddHvA2G8M8b1XRaOLjxmq12VBiWejrv8qH1yaQ27peVt87IktQI5cF1crSldl1KXomk1gton3Y988mmOKVMy24emrMhzoQWuVj3TdMxovEOeZ5R5IRRK6BM2w5rqmvHdjlaA3t2BOGKDcV1NGPi1sfTsQ7JYiGLlM9wZ4rqyk5iOUtt+IvQ6RcVoe4GHH3j/1aOQXJ+VY8cY7YwZbg2ZDiciSzyhSoqsEG+byjDNc3zXpd1soJSiPxozGU7qMeAG4vM8StPa6yorxD+7qqp6fM4Mq4PJBFeLPeD49Tdwzz1/v39Zr0YDFEWJ1g5HbjgifMjmgMWjC6Ad0knK5rktXE9TVda4UZma85wZ5gDKYjYRTK3pKqeo3dKqUrZG5Ya4P7m+S5mXuJ5LOklZWDpymGL/CPAXwFGl1I8ALwC+fb8boqjFyokV62IjGnZ/o8/aQ2sUWU6z26Kz3KGz1CEdTdlZ267delq9lnWXm3lpSIBJo92gLEtGO2PxcQa8wGfx+JK0bZqLAWGpw86FHbJpZjnKq8MVNrsN6QctArYqSzzfrX1bWwvtWvOf+XxqZw+va6FnhlIU2gFfe7XRrcx3BXKj2yAdi6/wdDQl10I5DLcGjxkbl4Ix5mfs73377WJsbayzfOSI5T01VSnc9sy3V3saPwA/9PACn04johGIwa0yMumqqqLbaNhFxuFku8UoTemHU4wxDMcTiqwgm2Rk04zJYEx/o19v6wEGg02KA3Chj7ee587dT56n7OyskU5HDHeGKO3QW+nRW+3RW/Fnz68VGqXEY2gylECQLM0Z74ypKrHPjHZGjHZGKKWIWiFhM2SQitdSVVVUmdhrHFfT6DS4/vYbmAyn7OysH6boB0ar2ePojUd56J4HmQyn9Df6RK2QIivI05xmV1zc1h5ao785oCxKGp0GvdUerYXWrpxRitH2iPMbA5o9CZByXTHSTaZTUutF5fkepqyYjlPO7myTlSXTLOPpn/p03vFPb9q3rFdlxk4mA5Q6KhySL9vnRqdJNs1qrjZLq7qSM78daw5FAAAgAElEQVTV0vrAgvAzjhafX6xLGo6CSvx4ZWWmXrUl4q2qOdSmbdDZyn0lGGN+TSn1z8AnARr4TGPMO/e7JwgaBLZTplnBYHPAYHNAnqV4fsB0NGXr/BZhM6TVa4JS1sDhMBlMaHQaNfddZDlFBnlWMBmMybMC19M0Ok3S8QDVd9hZ22Y8mNRBKgBRp1Eb7a4GykJWeFnsSmaRTtrV0g826kl7rviNej6KXZ63rPa4aCkFSj4rEc+H4WDEZCi+yzMeMU9z8Q7xXOEiM8VkMkJND1ZHpdQrgP8BdGcfsY/boOuKR0dVlmKp90EbjSll15WnGWVe4mhN1Bbh6mkXrRymWVrTK6H2Zu+XRcZ6oGRFUfO509GUtYfWWH94nfHOuF64yrKiqkrC8OBc6GHrWZZi9Bv0N9mu1jDGsLb2EKeuv5Ubn3KjCBjL284MbrNIxiJNmQ4nbK/tiD2iLGm0G6xet1oLLNdzyTPhUEUr3KUefEt1OFqiIq9WUFAYtVBK1V4OWTahG3Zqe8F0PGX5+BLLJ5ZJJ6n0yXDCyPdqmsKPfBaPLtbGwpnNKbd0allWtBdatIKQC5u7dqVz959nsjIlXerhhR6NqL1vWa+Ot4Nt2Jmv32h7RDqaUhYV6SRltD2USJsooLvSrd2LgNprIZsahlsDirxEu5rOUkcinGwnF3mBo53akhlEgYTcTlMxKvgevZUeWu/v7WC53b0Y2N93KaXuMsb86uXuDcNmrS0pJQEj587dT5ZNaTTaBIMGxlQURUEUteooMaUUC0d6VOUijU6EozVZKhNjtD1isDmwoaiyGE2GE+F2LS88GU6oipKo06DRbeJHweE76YAY90eUxR4fW6XqX8aYutxgDY3TFK0dfNe1ARYFCoVjtdzKGKapRDkOt0dsPLrBzoUd4R0Dj1F/XFMsYSuSRcUu0uPx4HLFvBivBO4yxjx0kItd18dxlAS/6N0ISWMMZVmys76D53v0N/rsXNhhe6lDq9cibAa1j3oQ+LiOrqmWoiwZZxmD/og8zdg6v83aQ2tsr20zHU7E99fTZNOsFlhVWaAOl27lUPWsLM2XZhOqqiQKWxRFxmBnm/5Gn+M3HRfe1tj6Ow66KHFLiVZVjkOj26DZa5KneW2om9FuYTNksNmvKaIZlQhQeS6qksCZznKHUX9/4auUup9L036zBeb0pe6Lohba04TNgOHWgDzP6Cx3aHRE490+v0W7Jxpue7EtvHZlaC+18XyPR+97lPWH1uhf6NNb7eGHPr1emzTPmY7FoNxqNzi+sEDgumxs7TDYHFBVsjsvspy8LAmigHZnad86XhXh6ziaqNNge22H8w+eZ+PcGsPhNq7rUeRZbfkOggarJ06Ic7ud1OkkZTKcMhlOWF+XMeVqD9fzKfKM0lrHgyDCUZowanHD7TfS6DRoL7YJWxHpOEUpQ7PXpNG9oibxSfb3TcDNwOsRj91PB94DXFb4Lq0Il61dzXgwob+1TRS16HZXCMMmOzvrZNmUPJ+ytvYgvh8QBA0ajS5e6JGlee2iMzNoDTb7TEcp0+mINB2zuXkOY0q09vBcn6jRodFo4zguYSXCqbPUQeurQztsnd+mLAvRiryZe1HFeDBhvHOBdJKK4SYU/rosKvI0p7PUobXQEjexKKDRbdSc8XQ4qbev/Y0+6w+vk00yxoMho/EOvh/heQFhIxLPDu2gcBiNtg9a7P8DXNlyZRFEIVUlPtRlUUpElg34mY6ndRTe5qMbPPzeh4XDbIY0Og2O33RM6tgMqaxNYmaQKouS0c6IzXObnHnfGYqsQHuapRPLVrPX5NOcyWAs3G9VMhofykPnUPXMsgnNZo+bb34aq6eOcPymY6ycWkF7bl1WU0lQz+qxJULPo2hGZEVJa6El9oXKiJZuPW1mLqNFlpOOU2aRqa6nydPcukOWDLcGBI1AFtnQr3Ob7INPPExDzHDk+ClG2yPWH15nY+Mc7fYifhiwfHKZzpKEjWvtsNxu84GHHqXICs49cJbNs5v0VrsEUUD8jCfR7jSZpuJWubm5gxd4LC10WWq3WWw2eXRri0c2N3FcTXe1hx94bJ3fZtyfMGiO8UKPMNg/iu+qzNggkOQrm2c32V7fYjjYYmPzrBilihytXbTWhEET5TiM+10JqQ08TFUxHoyYTIY4jibLJozHA4bDLaqyoDIVjqPpdlfw/Yg0HXP2A5IUpLXQYvHoIo6jCJohnuN9kJX5YhhjvghAKfXXwFOMMRfs/wvAH+x374zyAOFDldJ4XkgUtVg8tsjNH3Uz6SRluDXgvnvuYZqORJPaWUc/pPH9CK09tJ5t9VzGgyGT6YA0Fe1EQjgbeJ6P5wV4XoDr+tZYJzy367lXTfiORjsEfmSjmyRya+biJ5y9+BqnExFcUUt8IrNpSpEFVKFPURS1p4KpjA1mQAyHntAueZqDUqweFa+YRrfBYEM03aqsCMIQrQ9sVPxR4F1KqX+kjjkEY8wXX+rimZ94WZboyhEXPmzMjA27DaKAxWOLONoRnr4UIZtNM7Tn4ocVxhoNTVbVVFo2SXFdl1uefgte4NFoN8iznMHmQOwfj24yHU3rwIQr+YZ+SPV0hKvvLHZZOr5Io9uktdCW0OLA54K3SX+jT1EUVMbguy6BcvG0WP5za/ycacEAzVYD7ThkNudH2Axqd8moJb7n6TglnWRk09xq1qb25NkHn3CF7y+pFDnaIZtmXLjwKI6jKYqMd//DO/jnN/wDzUaXm556M+1FSW/QXe7KWM5LBlubOFqCmtYePM/xm0/QWpBotpNHV2hHEUVZMphMuOe+Bzl3/1kGW0NOxadwPZdpUbJ0YomNMxuk41QWmmD/HemBZ6xS6jbEA6CWZsaYN17q2kajjeu5ssWaDPH8AGMqxuMReS4GCM/1yYIpytGk6QTXdWk0ujQ7rTo2WxJwZGTZpCboo6hFFLYoy5yq8jAYBjvbDPs7jLZbIqwCMYxEvegwUVHHgc09/4+AY/vd4EeS+SmfZlAZgiCgLPPHhGFGrZAiLyjKvE6akmUpOzsXWOgdobe0KBzYKGXj7DqPnHkfWTaR2HsvpNNZZnn1OM1Ok2yaMh5IhjGldpML6UZwKNedw/TlcLiF27P+nTMPBWsgnBkqtCsRhWc/cO4xEWJ+KForlanDxmfh4HmWM9oZkU4yWTBPqFoQzK4965yrs50FzfAw+QC+F/h14MGDtYcNp7Vb7pn/ueuIlX75+BKRTbQT+B65dUNKxymDzYHNxKdqOwSOoiolBFxph6UTS5y8btf4u7HZJ4h8Rjtj+hf6NaeoHX3Y8OJD1XMW4eZHvgSTuLI9D1wJsTVHFiiLkul4Ku5y1rWwKCtKS59NBxN2LoihcO2hNVZOreAFHq1u0/L+PpElC/zQt7vQrM5/UhYl3sFsFJ+0z3eGywhf7WqZc0VGu71EWeQ88kjCNB3R6SyxvbMmIfNBxJOf8RTai22a3QZ5mnPhzAZBI2AymJBnBcsnlwkbIRfOXMBxFNPRlM1zW5z7wFnKUvJy3HjHjXRXOqTjFMdxauOetyeq93I4kPBVSv0s8FzgPnZ5GAN88qWuv/EpN7J4bJFmp0FVLLKxcY61NaEQ0nTMaLSNqz206xGcaxAEDTqdJa6//nZO33la/H7vL3nooXsYDDaZTIaMRzvkRUZVlWjtcurUbdLYjub0TXexuHyEznKHxaMLdUIbx3EO45j/euDPlVKvRYTSC4Hf3u+GqBXWCXTSSUqz16IoSs6de5D3v/9tVFXF5uY5RqNt7rrrOSjlsLnxKJ3uCvEdd7FwdIFTTzrFwpEFzrzvDNvr29a1qmQ43KLVWsCYkkceGtFq9XBdn6oqyfOUsiwJJ6FoaVpz9NTxA1XysH05Hu9w/LjQa6aSFDPNriRl6Sx1ZLs5SYnaDU7GJxltj2oO8/yD56WcjZAnPSOuOdx/+pO3cu7+80zHE8oyZ2PjLFHUYjwesLx8nCCI6K72OHnLCcaDCaP+iHyas7CweqA6Aul+Pr0XYzZJ9Czay6ZKDBoBQRTQ7LUIooBes0FpKlLrGllkBc1es9ZaA9dDO+KEP9oeUWQ5XiDZw9bWtti5sEM6Tll78DytBTHGjPtjHK3oHemxvd09rOH0UPXMsgl5LpkG73v7fQSNgL/8X38OwLEbTnLnx99JWZb013e4sLzFuC2hzlVVMdwaMrJ+61maE7UiyqKshY4E2BhLPUlwkOtpCpvlzvU047ygyHb54P0w25HOoJRaMMZsXamOM2P06ur1tZviTTd9FGFT6MfzZx9kZ2dd3Pr+RHbjTRv0sXRkle5Kl7AZ8p6/fzeTiSwyo+E2k+lQxnLY5M6nPZMb7riBlZPLnHvgHIPNPksnliUdapoz7o95x1+/g4cffN++ZT2o5vsc4Kb9Qm33YuFIj0a7wfLJFfKsYPDAZu2cn+cpzUaXVnsBYwzjcZ+yyKmqijBssXB00RrOMtpnlnAcjdYezWYPrcVxXWvNysop8bErcvr9CxI95UlkHVAn7rk4kcnlYIz5WqXU5yFckwF+wBjzh/vdM9t6zfwYw1EqPs5WCw1DSVGYpsscv+4GHO2wsHaE3uoiC0eEJ5rlLvBCj/Zim5vDuzj/qCgy1918K3/3hj9ka+s8q6vXsbx8Eq1dPC8gilo4WtVaWtiODlRPDtmXWSbam+vpOmXkzNe4LEvO3HumdkHaPLvJdDqSAd3u0F0WblvbgBqAIisYbA0p84Ko2aDRicjSKZtb5yiKlKjZYvPCOYyBG26/gd6qT9QKufDIhcOkB/1bpdQPAn8M1PW8nHa/Gx4ruYiVDejJpyIgdtaF8zs/Pc+Ze88QNkMx1iiF1g7ac6EhW8yZYXEynEhYuPX2aPYkr/W73/Qu1s6e4abbbyOyfRa1G7ieptno4vsH7sdD19NxNHmesn72LK7n0+kt0Gx3rDFXrP2z3ZVorKLBS4ayDM8GY2STjKAZEt8d01vtohDPljwrGG4NZV7UgTNiKM5cadfU+t26B9yRKqWeiihBDaXUxwBvBF5ojPmXS10/2OrXuSqKrKAscjqLXTorXTzfo7faY7Q9ZLA9oN+/QBg26zafGQjHgzHNdouqKuj3N1hYPMbxqEWj06C70iW++1aitvgGe5sDdi5IqH/QCGyotuLo6aPc8fGXZH9qHFT4PgRE7Ong/TBzzC9LcRvqdJa4++7nMp2O2N5epyxyMaAVOVk2wfcjWq0ey8eWaS+2SccpneUuS0vH6XRk66Acje8FaNdDa83qqWO0ei2UgtHOWHLclhWj7RFaaxrdhuVhD6VJnEOMbL8EPPOKVxvJauZHM0d1j8Fmn+tuOV1H493s3EaeFSwdW0Q5iu5yV/LEWq5WKUS76jRoLbTorfRYOrZIWVY0u02uu+52jhy5UYSt4zCZDOl0lmgttCT5teWcg4N7PByqL2f0j+t7dVhx0AhqauHM+x9lOp5QFBlnz76fMGhy/MQtNDvN2lqsHFUnDHIc8VY5evoYC0d6kiEsCgjubWCoOHnrSTpLndpXO2yEhK2oFmIHxNMu+g37aPdgcwJEAVHHOtxv9EmLKe7Uq0Ocz9x7hne+5c3cFN/BTR91k3jYTDL8SAKI0kI0/sKO+yIvaAWtOmdDd6XL0vFluqs9Vq9bxfNd+hf6Elzie3SWejQePVTk16HqOcv/keUpiytHOHrjEY7ffKIOkCnzgu21HVzr9plOUvLpbiDPLMm6o8VnN2yG9BrNOlhmwBQ/9Gs6LM+KOszaC3M832VSGaqi2s0XcmX8OOJz/5vGmEeVUl8BvBp4xqUu3tw6S2VKfD+y+Rkk5/csvW06mjLcGTKZ9KmqkslkYHNwuwz7Re3rO+qLy2gQyHOm01GtyD3wHlGOqqKkvdgmz3K217ZZOSW5ufKs4NiNxzh7/4cQ4aaU+iWkM13gHUqpN3IAYt/zJd2j1pqlE0ucuPUErW6T8WBSn06QTVPrsB/UiUwWjy9J1iHHodltsnzkSO1mNBmM8SPZBgYNMX7MfE5bC20bDupYolsiU2ZJeg4C6zP5OcAJ4DXAzyilfsEY8wOXu6fIS7RN0uEFHr2VLiunVmh2pQPPP3iesBnWJyHMAiKanUbtQuf6HmHgi+tLr4WyQQXZJGO0MyJ+6p04rqQ57FuuzRhDd7lLoxMR2aAM7wr80uPty25n2eY4kEWm2ZHou2ySkWcF3eUuC3pBAlyKnM7CEsdvOk7Ujli9TmiC4dZQ0mFmEkbdaEd4geSswEZZrd5whOloSnuhxfGbjqG0U0eegVA809H0QH1pjNmPL/wgVJaHDBoBjbYs2pPhBHyXqC2ujDOh4vr/F0euP8LC0QUc7ZBPc5sW1R4QUM68HSQYKGpFLKz2yPOCRrvBnc++QwxPVts2lYSPu54E3hyGuz9sPaOohev6mKrECz2idoPeapd0ktn0rbMDDMSIOsudPYv4MsZQ2GRK2tVo7TByXZyZv75N9K8chWtPNwFqjl97bn2IwOwQhQOgYYz5PzMlyhjz50qpy87JU9ffyng4sqkFUjY3H2U0OorvBeRFxmQyZDTaZjTaxvMCtONSmYowbLC0dIKGbZM3//Vfkucpg8GmrXeOMSVh2OKGh++g1VoA4Pjp4xhjCFsRJ+OTVIUcGPDON76Te/7p7fA1L7lsxa60/LzB/v6bg7YUQHdVaIfTTz3NYHPAqD9itD2S3zsjIaQDSdq8et2KPXrGY/nkMrCbHP3IjUflNIrQZ2d9p3ZUnwwnNqpGor+iVihbP6DVa8nWOPI5srpY5xs9AF6CaLtvNsZsKqXuBt4CXLajx/2RdEyWE0QBrYU2R288Vkf8XP/k6yVhTJqz/vA6vZUeUStk89xW7YUxEy5lUUny9yynt9JjMpygB5pmt0nYEOf36558HZP+hMlwwsn4JFo7jAcTK+SvqPm+wf4+VF92uis2lDnDNSLgJSOXQ9AwPPP5z6x9kO/+9LvFkLYt9W90IjYe3RS/5Kqi2WtSVWKoyLOCUX8skUVdoVBmQRtZKoIsbITWADIW75UD5vO1nisf1PHGmMtqvrOE981es3aHwhiidoPFpS7NIODOJ99Uh5j2JxMmqSTUFhetilF/LMqDPQrLVIbR9pDWQotWI6IMK7TTpihLJtOU0fZIcmGEDXuKiYPnHdxn+7D1bLeXmE5HHD1xAyunVggaAeP+bvj9qD9isNkXhSHyZVHyXfDd2lDqhz6thZYoCGmO49r81J5L4Huw0KYoZE33Q192a9W4/t8PfbbXth9zzNIVsGmpB2Pr/CIeaxh/DN74ht8litpcf/3t9HqreF7Ae979JoajHUajbaKwxQ033smpU7exvv4wxkhwi+eFtNtLRK2QqN3g6NEbGQ62UErxgQ+8g7Is0NolCETZeeSRhEajw/r6w9x6+1N50jNvYzqcMB2lVGXFztp2ncP5cthX+BpjfmX2t1LqmDHmrJLTHp6CZPy63I2EgU/RCiVBik3R5gee5C1oi+uOF3h0V7pkk0z84pphvWWZ+RuaSnLerl63ynQk/r/GGJrdpuSJ8OW+WQLyWXaoweaAldVFQu/A7kmlMSbbQ1NMEW+jyyLPCvy8qKP2ZiGXVVkyHojAydOM6SiltdCiu9JhtDOWpPH2iCHXc4k8SRZvbJh1OklpdoUHHGwNcRxF1ImYWiHWXRHqYrwjrmtKPfZ4m0t3yePry1arV/PSs9SO2nVwfbHqZtPMRhjuyoCwGaJdyXUhRz/tZimTM8xyKnvaw8zFq8glh8VsuwuwcmIZxxV/0ZmP8AHxbXv+9oDPBi5rrMms8WzvUUaeL5z2zHZg27DO51CUs3LvZtpzbEYwx3LjGMOoP2b7/BbVSkVlw+UdR8kRW/b0k5mb4cyb5BA4VD2DIKLdXhIvHaXqgw1mXGU2zWpufi9mZZrlWWlEIZlbiEuabTNHKTytKXSJcjxcm5lwdphBNs3qMVBkRR06fwB8BfArwO1KqW3gXuBFl7tYKIKhhAePdphO5USKKGrhuT6NZocbbriTlZOrNO7viL3JlARBg2M3HePWu2OOH13mvrffR3+jTae7Qq+7iucHhGGT7tIiS8eXUEpsPptnN1k+uSyBVGGE9gqyaUrYijh26vp9K3ZQb4efBnxL7v8m8GfAx3KZdIvac8lL8QNt9Zp4visDuaxoL1Z1+jrx8dw1NgVRUPtOTsfT2sEeRENsB23ai2Il9nwXZmdFRb51fxKfvaqsmI6nrJ29QGf5wNu4v7HbmaZS6nOALwP+cr8bqrIitykts2mG60lOVkeLn/HO2nbtftK2J3kUWZ/CZrISo44MTq11HW1TlZKXuL3YZjKUwzLXH1ojbEUsHVuk2WvZsOyqTshzpVV2hsP2peRHduzpBCKIZvyyJCrJ6wNPXWvZ9jwXg+HR+4TzClsRpe2XmfdJVcpJHdPRlN5qr86MNQtamUXPqfqUk6IOqb4SjDEXa/d/oZR6M3DJLGBlXpLXB7rKIur6LmSyWIwmkqvV1dqebpBSFlV9vhtQRznOkv3PtPTpSPILBI3ABqBkdch2Zd2VtNZ1JrXD4LD1nJ1P54e+5F4eT+uTU8pCQquN5dZnJ1LMyjVLkGMq8f+dGRsNRuaw6+JpjQp8m8HOobAKBVBTF47j7Dmv8UDoGWOepZRqAtoY09/vYt8PJRuZF9JdWCRPu1y48Ai93irt9hKLK8s0ey2qsuL6+EaMofa7PnHzcVZWFjjS7XLqSae4/533c+z0MfoXltF2bvuBR7PXImqFdFd6HL/pOK2FFgtHevWhvqNtw9a5LRaOLuxbsYOy3s8APhqJI/8FY8y3KaXeermL1x5cI52keJYz8wKPxaML9ekEs5XXcZQcGWM7yXEdPJu8RM6XCuskz1VZ1hRDfbJCllMWFZPhhPHOmHSSUuQFvvXzHe6MCJsHTjL+DcCXAu8AXgz8EULsXxZVKS44/Y0+ZVHWWv7Mn7WzJEl1PMsXDjaE7z5z7xlWr1sVo2DgkZWlTZJuGPcl3j9LcxrdJjc+5cY685cfeOLVUBm21yXGfnbU0CEm7qH6cjZRvMBjOp6yc2GHqB3VXg9hK6LXFv9bhWS6GqWSj7jIChrtCO25TGxS9HavRXely2h7RNgMGPfHpOOU3moXrWTCBo1ABnF/zHhnZKMeJ7VL15WglLpu77/A7cBlYz3LsgAjyXRmNoXuQpvSnlAy6o9q42rUimhGIdp3mGRyNI6pKpRrF8+yQmkbcutqiuFUfLNtPmKlJA2qUkFNtcxC6kubie+gOGw9Z0l7lo4t0lpoSxrJwCaGmcipMyDzc2rH1ixnRx1pqB1G9rQNpaATRniui3YUWSFn9c1OfRilKY1Ooz4kQNpaOOT0gH0JfLdS6hbgr4DXKaX+3Bhz2TOIFheOkdpMhr3VHt3ljjUSKrqrPbrLXfxAokvzNEdrh42zm0StiOUTKyw0m3QbDZ71yR/N0rFF+psDjp0+xpl7z6BdyUuxcmoFlKJ/YYebnnoTNx8RH+63v+8D7FzYYfPcJnmWSj6XfXBQ4asBB9nWfLlSqgFc9smOPeo9HcvWyo98Fo4uEkS72p0xMB4IhdBZ6tTpJstSNOOoFdUW2MImmZFz3QxlLgNZ0hpWjNfH5GlWH7o427nNDqE8CIwxlVLq7wDf1vdvjTH7jhBHOxR5UfPQkp/XxfVEG290m1azkFMutta2OP/AOXGrswtLWUhuUDmfLWftoTU51G+pI/kb2g2hWwYSbDAbNLPdQTpOMfZY8gPiUH1ZZEWdEaosS1xXTuXwI/FfbTcbdELx3y2qknGaEXoeZSjlyaYZTl7WPrSuzWM806aNkdSgRV6ifYd2GFJUom2OB+Par1QSLR14gdmrERokSf5XX+7iqizrNKSzbfRsq+17LnTEou/YsNTZ8eEjI2fNSfY90ZyVU4irWrW7K1FKkU/zencStRv1OwprsEUpDsc4HL6eeZZSVoVNcKN2jxJyVL3DlMhJe65gacizab0ouZ4mCCWbW1lVlFWFqzXakXzNxojG67v2JJDp1Eb9OTZPxu7u6aDBJMaYT1dKhUjQxXOBH1ZKvdcY8xmXuj6MWoSRBGHNKKGbn3YzO+s7OFrV+aJd36NqVlx45AJrD5/n6A3HaPaackJJGLDS6bB+cpmt89ucvOMkvdUe5x88T57mbJ7bkvHgOJxaWpK2sH05ow1P3nKKYzft73t/UOH7q8BZ4O+MMW9WSt0D/MzlLs7TrG5spZQ9piWqk5eMRyPGgwmPJI/QXmwT2VNTi6KsO0drXceLj/pjHHsKRHuhhTEeri8O3aqcHXsiSWfSSYlnnb2Vc/CtnFLqxQiH9geIcHqtUuq7jDGX57blvlr7rEqfZterT0WY5fh1KsPOhT5rD5wnHaes3nCk5oiLrGCaSnKVqB0xHvfpb/RZObmMcpw6yXVZlGycuVCfB2bKqhbE0uYHPgHhUH0509bKsqzzEYuhRdtjZeS4Fd8KFt9av6eziKayxHF2M9U1fL9eEMf9Ue3NUhWlOOQrm7Dac8mnsthM+mPRmA4onIwxN16inz7os4u+l3tL4WazWYJ4DJ5dNLTj1IJmmuc1VSFHXRnGgzFBEVjudpfCmCXoybNcPHJcyWRWFOX/z96bB1mWZ/V9n9/d731b7pm1V6/Tsy+tGcQiBhBG0ghZYSSBJBscNmChxdZqh0KWbSyLMCE5bMIGyQuSw8aKkLCxkC2WADQDYhkYZu3p6Z7p6q6uvbIy33v51rvf+/Mf53dvVkFXLjVTMSG5TkdHZWXn63y/d+89v/M757uYZ0Vo19L/Pjm9+LTr1OjW46yuDj3kMIxFZVmEPYEvNq4iVVFS1JpkHlPm0jJy11ZwbflMHEtaD55tE3keK1GERhNnOUlhnIy1wMtqo5IWdEOIT/xcbiJU428Cfh8ybHvlqNeEYZfFYsLiYEHUi7j87oNtPSoAACAASURBVKe4/K7LLfzPDz0WkyXXXr7G7rVdfF9Ond0oJPI8XNuhHwRs9wfsbw2YDWd88H0voN75HHcmE4b70lbvDDrcnUzEhdu2iecx0/0p2TJl88Imq1srR67tRMlXa/3fKqV+RB+eib6x0UB4q5jsTVtedNDxWw3NwlRQo7tjxnfG3H3jDmtn3mVQDHmbqKtCmvmuJ3RFPxRN4JZ8sdYT9kwhO3bYDbAs1Xqdhd3AvM6TCezJ4q8CH9JajwCUUj+EIASOHCwCD/Qiw24oibU6dF9QSjHeHXPv+p6hHIdt1ZEu07YCclyHbnfAdG/CZG8quNNeiOMI6iFZJCwOFhSJPPSlsSpSltX2jo+L017LhsFVFRV2N2yFUgTALoMncauoqLUWZ4DcaBp4DqHBls5GM/K0wLYsI59ZEvYEK5rGqVQkrkNeVe2wpqGGi9Zz3TpaHBdKqRnw72mtf+q+b/8UD+Jh739B8+G0ibLMC7FJqi1wwVWyqWTGWqc2esaNNXxRlsTTuB3WiRea1WpOu57TwgHruqbIRXwHMFKapbnvT24jdNp1aq2pjTDVA2Eq36gfEfXFj680mO6qFGNaEbuS/nV3VWzWbUvhm4G2Y1kEnkfke5RVTZzlZHlBaXrJzXCuQcbk6YkHbvfMvz8CfNNJWG6DwSaj0W0ORvvYjsX1V66ztrPG1sUtLMdiNpQCB+R5nY0ESbV/b2Q0mjVJLgJgXuCzd2OPe9MZ59fWeP+lSxxsbDBLEu5OJrzyiS+itYADFpMFyVxaHmtn1tk5e7Qn70kHbh9DnB7u/95DIS2vf+Z13vn17zSODKHwpm8NKQvRNb3z+h2Gt4c4js17vv5d7N8dMbozFA1bxyGNJYmu7awJMDrOyNOc8Z0R+zf3ifoR5547J/TPyDf9Kblpu6vdlryAUmT5iW9mu0m8AFrroVLqyAZcaTzW4nncukw0w4wq9JnsiQpXnua88vEv0FvtU+Ylv/qzP8+FCy9w/m3nmY1mFKkcqWfDGb21Pvt3dtm7sYfri82L7Tqm51m0IjRZnJkjK0SDE2senPpaBp2AuIwl+RUltmH2ND3ubLXLNE7aSf10uhDPviQ3+GevxWLXVcXucGw0ioVBVRUlw1tDsjhjbWcNvSobWlXIILPR9z1pv9fEEPirSqkXtdZ/o1nmw3642Qgr46hR/Q4Eg62s1rHifpcOrYUenCd52/ZpmJyO5xL1Bdu+nCxZTJasbLktO1DXmlqJPoSgPEoziD3VMOpU65zNhriu36INWq9EU3WL6ldIZJxU8jRvWY1Aq09949UbXHjbBezUak0ovUAGXdM4YZ6mzJOEIsvJ4ox4Li1a13NBGyeaExrbAi8gpJFvBj5mTmof01r/L2/1w0WREfVC4njO7u5VptM98iRnfnmb5XQpdkZF1Q6N66rm3HPn2buxx6/937/Op3sh3dUeUS8Epdg4t87+zX0+xxfYvbRFf6PPStTBtW1WOx22Lm5x80s3ufq5q6yfWxdizWqPp95xiTu39h623QMnbzv84H1fHwtpuXXrS6xeWeH93/p+6kqzOFiIALMRlY5nSxGPiVZbGxLX91rbliAKsOxD8ZXG8cGP/Fb6bzFZmCFFZSpNqTCkgpKL2zgdnzA+p8TB4h+Yv38vMnx7aDTQG6UOrUSyJJOedy592boWzJ/rulx+12WSRcJscsC1ay9TlgW9Vel3T/YP+NKXfounn34fnY6w/NJYKo3G0jxdZlRl2SbgRuSmLiuCkyfgH7zv62OvJRgfN9tqZk4t0aMRl9Fat0dVuc6CWT7Ym7D75l1ptVzcwjZOJsvJkulwxvDWPnlWcO7ZswYVEh7CBs3nmxvBa+B3V2wPjwlyTP1xpdTPAn+KI2CDtYGMyUyhpq70Ay2Osq5RukZrm6quW1HtIi9avz0xilQ4ntPaBDVDyaqsWox6Q9ZoeqzJIm0Tt1IKpU4sBHXqdWZZTJFnLGdLokEkKnXmuqWLhP7mAC/wiHohqWVRllUrCdr05i1b5hTKuJXM05RK19KesUXxbpllzFKRDa2Mua1t2+2m7RiR/JOE1vo14DWl1G8A/wbwA8AHgbdMvmm6bNuUZVmQJAuyLGtzhojXW1Rlyb1r98TEoajY370Ju6ZnHHQIohDLthjeHmLbNqM7Qzlhm3aasq0WabVxTvgJhYHtWbbFm69cZ3FwtP70SdsOp4K0jMd32Lu922ovpLEMT9C6ZTp1en3CbsArH3+lFUMv8xI3kGNMGZe8/GtfYHZwgG27XH7nUy2+dTFZEhsig2e8lWqTiEvDorK9xmboxJXE9yOJ6R8iPd9/Afy5o17QVGOu71JkUpVmcSbQIVtwk8vpknvX97jwwgWCSIgCb//Qu4he7rK7e43bt18jivrUdcWZnafZOnemtWdpPitd88BgKk9zijQ3vlpO6/pwkjjttewOOqTLtCWDSC9To5QMN5vPwLIsElMFNjAr0XsVDPJ49wDM15P9CYuJaAA0LhwNpKksSlR5iHdtaMWO52BnJ66WlNGu+B6l1F8DfhPZaN76M+HBlobQ4nPq2qFUJbaZ8ldW3W487c+WFX7oiTi6EeXp9CKKQHz74nksDiBm0AwCX9P3tTgEIdE4dp8c7XDadVrKpqwKpnsTems9mau4JVUp1Pxklsi96zqUZiNdTqT42byw2bJW/ciXRGw2w9j0rUNPU5Ql81SGdFVRtde8mc84rkgPOCe8X5VS/xj4euBLiPjVt2utv/Swn6+rkjxPsC1HpFBtm/l8TDiOWiZqaDS/pwdj6qpkd/eAOJ4yGt1lY+Ms3e4a4yt3SdMF29tP8a7f80GjyCb5JOpH5AaL3jBMfcO+bVh+X/j1LzC+tw9/5XsfuraTth1OBWkpipyDg3tofejMsDiYt/jGrtERtV2bZJ5w64s3RQ1oYRwc6oo8T1stB993WxESEbHutBPqLJFkZzlSeSxnwqQLuyFrO6unYdL8Pf07lJSOi4ODe2KDHa21VOY8ydve4Ww0Y7o/xXZtti/vtAk67Ia84+vewfbdHdJFgu0K5TbohiTzBMtSdFe7AmMbzlqxjrS1lC+xHFsSl21x7ZU3GI/uwH/xF459z6e9lhvnN5nsTyVRGKsfAegLIaSqKnR2aCjYW+8JznqRMNgc0F/rUVWC7sjijIPdMUop1nbWjDusQ9TvSH/RVFYAZVq2PXXHcwwh48SJ6eebL7TW/41S6mVE+/Ytw7KcllkXAY7rGFyznC5s1zZV6aGjdPP5N8NeL/DaAdXsYN7a3ZfG0TpdJExNdRz1D/UQBKlSo2oZ2GXZiQ1fT73OspITxCsvfQLHc9m6uGXE8GX9DcPt9hXdtrz80McLPabDqbSdDBJpOVlSRj4b6wOqWlNUFarIcSwb33XFVr2ZiZg2mUXdaiOfoo30k8D3IfeqrbU+UlE/yxOuXXsZx/XQ1AwGO0wme2RZTP9AbnM3cJmP5rzvwy9y9XNXufL6pzg4uIfnBdy58wbwBq7r4Tge9+69yZ/+8PfSGXS48qkrXPnUa6yf3Wihlw0ENOxHbXW/mCz5/Kc/zvXrLwN/76Hv9aRth6Za0ubfIUdAWkD8oubjOaM7Iw7uHVCXlTmGyM6hhWUg4jfmRs2ymPl8jGU5OI7L6pkLcoy7T/9TQ4sLbqKhvsoDIigLUZUKpXdzsniXUqqrtV6c9AXT6b7oEiddA2Exnl1pgbIEBlaWJduXt0jmscCOLIsgkiFUZAZOjXZAA9FTRqdCeryiAVHkpVS7SrUVI0j1/frrn+bNN4+0m7s/TnUt8zRrj+ROU6W64q3X9AItS1yWxeuraL36HNfB8o3XXjekt9Yj6kemHVS01XxVyEaaxmLSGHZDaR0Z8oFABu0HKs63CqXUjtZ6F/j7v2OTeQU5sr5lSIIVPZJmUNq0rhrn5KqsZYM336vNJuS4NvEsJp5JX9yylBHasduNX1oytAicRi9B9BQOSQ1ZkrYJ8nGsE+SEMpsNOdgbs7q9guM5LfSzma0ARP2ITr/T4s/TOMWybXFgSXLThtKkvajtc6d5QS908B2HrCgOTThtyxCtDPrJYIdPGJ9DML7PyNLVdeC7TDvid4du1NTE/aQscyzLpqoK0mRBMo+JZ4L2iHoRZ57e4f35tzIa3QEgS5fMZiOefe5FuoMug60Vnn/+Er7jtKzcNz7zOtGgQ9QL0RrSOEMZjZK6rknmMa+99olj79djk69S6gXg6wwd9a8jR4BPcagV8LuiuRjT/Smj20Om4wPCTpd4MReOfyr9yYat5gUuVRlQVQPyPMVxPLrdVRk22TaeoeFalmpxdA0bpz26NQ8QtKIgWZydRs+3Bm4opb4EtOXHUXoAo9FtoqhPlAzkvToOjmWTm9+dLhKRmuwExPNEBnKhQ9gXxlej+NVf7+N6DmVRtSplyrJkYDMTXdg8K8Q5wraw3cO2RrJIWC4nJ8JNPsq1nI/nhpUkVWdVCSGgCcuyWk0KL/SkFVFUpkpysGwxTRTHYzm5NMSXeCaQw2yZGmai014zyxbWXHNs5WREkh8Hvp231q/QwFv6fjXrAFom3/3R4JFVxQNWOpaBTTUVebQWspzFpMsMy1Jtb9dxHdG0NWiH+2GBlmNTGzxwnqcnci/+ctaptWYZzxiNbrMzPyMWQoVgk5tTh1LKXCcf2zXJeaHbTaMoBYtfVzXxspGIdFCWoqhKfMfFcxxKJQgYZQnhxHIOTxCn6N//j8Df0Vr/X+a9fSfwP3OEzVBRZPh+hNYVRZHjOB5FkZLlKbPxFNtx2bm8LTOibsi5584x2OgT9iPSRcLerV3e++H3sn52Q3rjShHneevI/mv/70ex7lhsbJ1l56ltKRyWsjnlSc58Mm9p/0fFcapm/xHw14BSKfXLwNsQbc1vMh/Ad7/V62zboSyl8p2OD8iNNFsD8i6MnUjQCaSCMHJ+zXv1w6BNSI3kYJHlLQwtT8SAsUkIutbtBZXjHJSF9KxOYFfSxH9y0h9sYjodsr0tzhJ54uMYllPjyeZ40i5ptB+0Fm8rP/RxBy5RP6LMRcZOa42PICOaIRZa9A6EzVe2SbfpcTeQrTzPCI9xSn3Ua7l2Zh3Hc7lz5TZ1FLSVhfl/trKdZVG1AzWBTAmxwvMF99z03hs79vt7rMq2KJepYEI3B5LcDenGMgI1zWd4VGitv938eSSm93dGUUh131SlVVVJFWyq3sZfT1mKuqwRToRgeXtrPYJOYNS8ZCPKk6w11qyMe69rPqcik0GcrgWL7jhOewRP4lnrdvI41tls0FkWMxrdYbo/bb33HONT10TjriE9e8v49xm97OpQKztdmt5nNyCMArKixFYWgeuyqCpsA8W7X5ujOTmcMDaaxGvW/JNKqb/50M+GRoeias1IXVeSb2XcZFZ7WwSdgMVkQV0Jlby72mPt7BrJLKauNBvnN+mv99Fac3c0Jp7GxPO4Jc7s7d0gyxJsx2r1mG0jg5omCwTJefSM4rjK988Ab0cYUFeBHa31Qin1Y8BnHvYizwtJkwX3ru8xmewThT02zm9i7dpMx0Nu3XgdzwtI5lutHCSIJu3qzlor3O0YYz9lmG3L6bLVA1gcLIRJFviiambbrdNvkRUtV/2kobX+FfUW9jpHRRxPuXHjVXw/osgz6nqD3mq31ZrorfUosoLpcEoyT6jKiul4zJ07V1guZ2xtXcRxPFZXd9g4t8HWxa32xlzO4jaJ10ZRKoiCVuRmvDtmvHvA3buvAxybfHnEa9lb6+EFHm985g3CvjCz6kr6oI5nnB/Mw5klMnipjT5FmRfE80MmoGNYbiCbTINTbgw1Hdcxx3GN33HaSlF+tjgxPMkA838UEY53kGPrn9Vav6XZZJouSRuHaN81hACNG0jVZ9vmhFXWoIqWFKI1Ru5TrI+khy1wsvup70J7r6grabP4jeZt7RB0fPI0Y3Gw5M7dN1gsTmwSeup1NgSLqiq5d+8ar32xx+r2t1AVcrsni7RV6HM8x2weJY7nsrqzJoSLvCSexa0QUZZk7aApSTNcz2WZZQSeS24QQM3ptDEVbYawJ4xMKfUBbcTTlVIvAg/doSTBF8znB4JaCLutJm9DmsnTnFtfugXA2lnRxm5U3LYub/PUe8RNZ+/GHrYr/frZcMadN+4yHR6wsXWW9fUd4ySeiluJaxNPxbjzjaufRanj79Xjkm+htV4CS6XUG00/VGtdKaUemtksZRll+0wE0ws5hnm+C0oxHN6iLAuWywmXvXeKBbVjA9I3aSzS8zSnNFCVLBUefZGJbc1odBvbdomiHk+989nWtlkb+FNztGtaG8eFUup/Aj7CCe11mojjGVUl/eo0ToRAYdttkinN+711/Q3G412SZM5weIvpdJ/XX/80SilWVrbY2XmaS5feyeUXRIi9cTZuhNebI6y4VyCi0Isxu7tv0sjiHROPdC0bEkgzTCy7Usk1PdvualcGNraNH3rkqUz47725y2w0E6Ed01f0DGRpOVmQpbloCqQxrhuwdmaNjbPrcgw2fdfKkDnqsjoNagWEsfcbCILFQkSS/gFyVP/da0yXxPGiPSkJTFGO/w2luRk4NsM3MA962bRidPvaxlxUevzKnFyMU3UtwuWWeThFmElU8LIsxrJOBTU71TrlOooBbVUWzKb7Ut3aphdtWkZeILe/CEEJSy3qhShLsNBlUba0alEWNK0y87lUuiYvq0PTVDNYbKCZJyXLmPiLwE8ppcZIUbQGfNdxL2rstuq6xLIctK5x3RCFIo5nhmxikaUpta5YzA9IsyUrK9tsnz/HzatvoJRiMNhksDGgyHL2795lNL7DysoWG1tnWd3oM92fUhl5gKqqORjfZTYbmXUffVI7Lvne/+oTf2KuJwBmPxD9gqJID6XqtGY2G1Ia1f9OZ+WBI8l0uNkSFWbTMXmRGbPMw19f1zUHB7tYyiIIu1x47rL5X8tNU+YFabrEdu0TK2EB38op7HVAhGSqqjD9Jd2iHBotCnmvmuVsiUIZJ2Kf7e3LFEVGnqfUtbgZi1hzTRB0iPqRUFaNG3BztLcs6YFWVcl8Mmd//ybL5dQk32ORAI90LRcHixYGdr8MYgPta3qxjcRlukjYu7HHZ37j11ksp6yvnyWK+sTLKZoGHyw+fFVVMp0OybKY89O30el/oF3v/TjtytB0T6rcBjyttf6O+/7+d5TQx98ysnRJHM9J5omIMnkOWTM0NI4j9x/JayO4U7ZKaLqlfGulUIp2kNXQaxvCgocRLLdtyrJsRYNmwxlVVZxKz/e062xcSSyjvLZYTsizonVhKQ2TUBmHZhE9tynzkv3bw5bSvn9jr6Ufr26tCt3csqT9UsrmrF1p/TWtwJZIUhySUY4KpdRZREv7nQjs839DcM1fOskzqrVYlhWFGVIrweW6ns98PibPM4bDW+R5Qp6n7aZ0+9ZrvPqqGI0qJUNX348Igg6+HzEc3sJxXM5cuNTep3VVU9RyMh+N7xLH0+ZNHPkej0u+zymlPvoWXyvg2Ye96F3v/Vq2n9rh5hdv0u2sMJuP2b12l+6gh+24PP/8h8Q6Puhg2y55nrYJdn//prjzotg58wzr3bDtsTWDDwFKv4/CmDfORjPxmPLFEXY+OyAvMlbW107T8z2VvY58CoJjfteHPsCXPvOFlqYqRAQMDrbAdV22zlxkY/Mcmxekl3TrtVuiiKU1RVHQHXTRGu7eus5wWNDprLCxsy29JOMaUOQl2UyGjS+99MscHOziuj6WsqmOz6ePdC2TRXJICJjFRjxIhn5FVjA/WLQYxzwrCLoh7/3we3j+xee59oVr1FWN67sto62BKjmuzXIWM74zprfWY2VrQHe1R1mU9NZ61HXNZG8i7RcDaG8w4CcIrZS6oLW+KddDXaRRvnmLmM1HRJ2+GCAmGckibamojYQgCEMrT0TQKG082qq6hWQJKkQGV1mccXDvgIPdMYvJUvy/NgZ4RqwdrYnnOXvX7nHryk1u3HyFMOzT6x4tQ/jlrBNkHgNgO/Lc7d28x8UXLhF0pH23f3Ofuzev88ZLX+Ti88+wdXGLqqoYbIixZLVIObg3wXZtBhsDLr3jIl4ospSWUuRF2SbjLM5a2dHmpFQbBbf8eDr8/wp8HvhHwB8H/v2TQEHrukJr6dtLYk3o9zcoi4xxPOPZ59/HbDZiuZwwGGzgeWGbXJVSeF6A4zgEHRFV764ILFaEu8TL7sarNxnu3mtJVGVekOc5N2+8yo0br1AWeVtoHBXHJd+3PL4cF2tn1pnuT9m7ewPPD/E8n9l030wfUzqdPq4btBQ/XdfUVdm+WctyTLItSJeyczaC0w0cK+j4Lb14cm/SSkku5zOKMpeduHs81Ew9or2OvFbey+rOKt3uCnE8N1W8PhRdcWxxYfBcJvsTRnfHKNviwgsXUJZFVVTcvnILrSFPMrZ2zpt+oqHZljUo6ZVhjm9lXrBcTBD7+BpO0F/iEa+lCMIXXH3982xtXcRPAjlummm3aOGWkoAi8TTLswLbtbn49oskhlqaxRmWY7dCSiB6D7ZtG0q43Q6mmtNDPIvbHqHIG5648v3PgI8b8ohCHEr+g4f9sO9HdDqixwoYunhmJv2CUVaWBbYwGONpbHR5KxbGDLSp7prrVmTCfqvLCmVbdFcEtiWYZltMR9NcdE4O7pIkC7rdAf3+QyHXX/Y6QZJT09qoqlJQD+kZEdXpR7iBR1VVTKdDNhdn28H2/s39dlOxLEWn32F1exXH2C+BDLsE6VJR6lKe61rw003P1XJs6lq3jNAj4pzW+g8AKKV+AfjsaT4YkI2mKHKSZIZCkWUiA7C5eYF+f508lyLP9Xx8P2r1aBpD2CKfkcxj9m7s4Yc+g60VsjiTQWO6pBxm2LYrm0mRMRrfaQemiuMRHcc5WZzKcqaJvRt7TMZDZrMRftDB83zSbEk9rbFtlzA8xMxVBu1Q1SVJsmA2G7Y3cJouZWfyAgYrW/imvyTDHnEasGvDO48T6rJq3XNdVxATzvHCOr9s/jz1WptWwPrZdS6+/QKvfvJlwNhXpzmBsR5vCCGWZTE9GBEv5qzvbLUOq7dvvEkQdHBdj9XBBo7B9epm0l6bXlorwViRZTG247YJ+Lj+0qNey+VkyZtfeJ07t6+wurrTihtFXtSSLhqRHT847HkWmThcaGMX398YtO2YPMkpS0GtWE7TcrLbjasxblxMFtiOzXK65KWXfuXYxKSU+rta6/9Ya/3PlVLvR7SLLUSU5b9HGFK/K1zXo9cTBapmk8jTHKeWTSDo5kbPVjCqvbVe2/dumGBynQxxwiB5OmZAmWcFnrnfG8RDskhI5jGT8ZAkWWDbDr3eOlFncOw1edR1Ag9UY0opRqPbTPef4+yzZ+kOpCrv9dbodgegNcM7IyxLNg/bc1oFwk4/Ej1qg9xoRHOazbaupb1RN/eHgbMBbWvimLjfjblQSp3MvNeSnnySLIzzucNweJtudwVd14xGt+l0VnAdj6KQIq3OKpJkwWh4m1rXFEV+OEB1PQb9Teqqh9YTkT0oUpJkZiRWvTbJTiZ7D7QaNF9e5ftIcf3qK8TJXHjW8ZSyzFlZ2ca2XaqqxPd9+hv9NvmE3YBe0idLMvrTdcoyP1RAcmVXCqLQwLS8FgbTHHdnw5n4ZilFGPQoypy1zQ3Wz6wfq3Orjb2OUqoHfI/W+seUUucQdMAPH/Xauiqx7YDx7pjv/7N/gp/72AU+8TOfMAmokN6fwRy3JAuluHfvOp/5zC+Jn5kfcmbnaVzXE5TIMsX1nFYwfj6ei7ts4GE5NsM7Iz7127+ARrfyg7btnGi6+ijxD3/0b1EUGdtbl3BdaeHcvXqX8287T9QL5f0Z5IMbuPc5j7iky7TVq+2v91sIGoAbhDiOtDDSZYpjRPeVEdu5d/2eJN7Jgt/+zV/kxo0vYFnH3q7foJT6Ia31f6q13gd+Rin1Z4CfAP67h73oA1/zYdbPbbC6vcJsNGPv+h53r+6Kz1koJ6uwF9Jd6dIZdFoIWhPNUNK2D4kgTcXYtJaiXmgIGUuqUgTap/tTbt38IlVdEoZdVla2T3pZHmmdwAMDPcuy5V781EexLIsXfu8LRIOI2Ajfd4xDse06xlFa1tcZdHFNb1w2obwlUMwPFi0jM+xFxLNYjE8NQqQ0WiynENZp4kSConUthcl0sofnh/R6a4xGd5jNRjiOy2w+Jgg69HpreJ5PUeRiMeQGzGYj0Tu2HIKwSxT1cN1AnNbzgmUlOPz5fCxVdJ7heT62LTZgSTKX/vLJwFKPJ/nOFweUZU6WySS7QQOcO/c8cTwVxkvjVNGTo4zr5yIBGXgyKa51azIpAiVuCz+zLNG0dVynFSYH2qoi6ERsXdomjVNxyD1Z/COkxwQwRyqJnwD+2MNeoMyNfLB7QD8M+eZveJFf+clfxvM88iyjrjWhUu3N29ygWmvG4zviL6U1ZVVS5BlhoNvetu3qdqCjlKKwSnRWcO3qFxgOb7WDk2bXfYSb+UTRgP7X1s8yWF9DGwbPfDxnZXOlpRVXRjbRsg4ZcK7vGq3bmtGdEWVetCeRBuubZ/I9GWzZVFXFfLxkfHeEUorb169y7941FAp9PKLj24CfU0r9IFIF/gNkYPNtWutPPOxFb/uaF8Qr0LXZvLiFH/q89skrLCcL48pcigBNmlOaCtgswpi32tSloADadlFV4bSMRfAjv20zlXkhSf7GPuODXXPqCSjLnOpkkpKPtM4mDvHwmroqmUz2uHHtSzz1nqfwfLH0inpRqyWNYfI1BgaNNZdUvIICaRhvIIO2sCvoiCIvjEKdeN7VZQ21Pkn//p1Kqav3/f2c+bsCtNb6LYkkWRaTpkuquiKK+pw58wxXr36OopBBcVWV1HWJ47j0e2s4jrG1qkt2zjxNf2WVweYA2xX6eFmY1lIpmioNKqWuaxzHRWFhWTZJckiMFa2ysAAAIABJREFUPcQafxUq37LMKQu5kRzHM0cBi/d90/vYu7HPvev3Wi3TsBu0vcIiy8m70h+iOcIZLGVjptlUj4CBvNQtnKzIBBKzurNGb7XLYrJs7ctPEJe01v8mgBafqL+plDqyz6TrirKE4a19AJ7e2iLqdpiMh0IUUIpBIDZCQScQwfRuyI67w9lLF9u+HwhF1zVyg5VZV4Onbda2d/suN268IolXWdi2g22qwVNClE4cliWT353tp9g4ty5uxPOY0e0RQRTIxmCcbP3Ib+mjdV1jmR5oc90sQxBpklQDI7N9G8d12mp5OpyxnIrx5I2brxLHM/Nejt5gtNZzpdQfRCyg/kPgHwP/jtb6SMGEM8+cIYsz5uM5nu+yeXGL8e4B8/EcrSdE/QjbyamNiEpt2kC2bYnzw30iMQ0WthGOkU1SrLAaXeQsyUjnCXfvXmV//wbd7qoUKs7JhsOPuk55bY3WTfIVPeI8T9jdvUo8E7GqTr/TPpdaY4qdQ7NawTGXaHWYZJqE3jybXuCRLlOyZdrCChs977AfERk3jyPi+RN9GL8jyjJvk57WmosX38Gbb75kTiYCOcvzlPl8xMpgE9+PQCmCoMOF5y63IkqWZRlNcGW4AznJYkls2g2u67cVvG3Z7T16/2dwXDyW5JvnKUWRU1Ylbl1hKYs0XdJd7fH0e5/hp/+Hf8pyKlCw/nof3+yqZV601NSmSgRaBk7TK7IsgcKkcYaudasqprVm7YyAptNl1pIdThhaKfVurfXnoaXiHlmGaDS6Ltm7e5tZkrA9GPDC732Bf/nTv0RZ5nJhodVwDZqb2ZZjuK5rkkXaOjRrLf3ORgu3gXY1zq9Xr36WOJ7JQ2M7D1zkk9qynDbqWtoGF557mrUz60z2piilmA6nRIOIzfOb5ElOMk9EiNvgmxt2VKP01bKaLIWrhGrc/EyDZXY8h3QvFexkUbK7e529veuUpVjwNIzGI6+JEEf+IPDPgdsnSUgbgz5qRfHK/pS61kT9kMvvvswbn32jtXfXWvq43dVuq8mgjNDO4elDNiLHSCnK56fb5JUpqb6yJEfZkvSqqmQ+HxMbdpt9fGvlkdd5fyjD0FPKoq4r5rMx8TwRgaeO+CQ2jsoNgsOyLeO7WLdu4WVDmrAUdQ1VKfdLXVUsJ8uWYNJ8T2vN5vnNY1FIWuvrp1lPEyI1ILmjqgrhEFgOVZVSlQVh1GtbBmm2xPUCUXsrc+bjeYusgsPTyuTeRIg46ZIsi1top1TQIXmRMZsNHzhRNJvbUfFYkm+WxVRVSVnmhoZYkcRzPvpPfoG/8F//eb7jL/8xXvmNVzjYPSCeLtuL3LBgLEsZiJXTDp2yOGsxl2VRspguqYoKpWirR9vcILPRTNgql7Z56Vc+B3/yj57kbf814BeVUreQ/tIWD3H0baIyCI033vgsn3ztdS5vbPBXvv+7OPv0Gf7Z3/+nFGUuUCnXEfvz+4RZ5P1KD01cnIWO2+jaKkPfvHfzFlkWU1YF1978vGglWJbREZZKsNYnGmA8UliWg64r3v41L/D29zyL4zm88dk3KPOSg7sH4r9nWRzcOyDo+AZhEuG5DlE3pDTHtUazQrRyTZ+wlCq/u9rD8aRa3ruxx/D2kO5ql62ti22SOwlXXhmhePPXDvC3lVIfwQxv9EN0OpRSPL21RfXumrt39ynzkp3LO6ztrHHn9du89skrjG6PGN8dC2KhF7Y6BV7gmV4oLS7Wj/y20muYYJUhHczHc7YvbXP+uXPcev1NPE/acrbtslxMsOzjH8lHXae81nqgOmsSVVkVHNw7wAs8/FBMNLXWRo9EBqmO56Bsi9rgnwU5YbWwsuUsZro/wws9kkXa9sLrStTr+ut91s6sP7BhfaVDMNQuYdClyDMWsynvfs+HefPNl5hO92VNXkieJ4xGd4njOZ4XUhQpd+9exfN8PC9siWIKhe24LW4YwHU8yqpsf9fe3nXieP5A0hUk1JdHL36ksJRFfd8vt22HJF1w88arvPGlG3ztB9+F+nrFmy+9yd6Nvfbmrava6H3aBl7UmBIKKF3Ya2VbCYLMPYq8EAhWWeEsU5QlDgqLyUKa/ceEUurbEUWoiwij5g8BH0P0UY8MrTVxPGM6nJIWBYMo4hs/8G6ufsObfOZjnyCNE3F/jXxUoQzW0egDWPe5SViHD0UjT9l83/V8FgeT5r3KhbUsc5EPK83HEZZlUWnBsm71+1x8+0X2rt9jPp4DHtO9CQPjVbWYLEWnI/CoHEvEtbW+TwtYoyyBp1m2XHPbEWdZZSksLJEuLCtWNldaCNcpjnI/+ChrtI3b7nM7O0S+x93xhKqqCLsBm+c3uXdtD5CWwvjuCFgXIow5gTmu2MbLJmp6vjRGsrJuwQUnlEXJ5XddIlmk2I4rUCWtW4KF551Ihe+R1tlEozvQVL1NgTQ7GLF5buPweWs+91qjbPmeuF8cEk2k7VSwnMUt3l5YmPI52LbotriBy2BjIDomdX0awatTxdraGRxH+slVVbFcTDhz/ql2vpJlMZ4X4DoedV1SlQU50raTYV0iFmau37LjnLqiIQc5jktlsMTyGkFp1XXZ/gwcOlMdFY8l+QI4dlPNli2we2//Blc+fYUPf+37OL+xjvU+i8nepPVnq6vaeEgdYj0tyxL1f09TLkvSOKU0rJzmOLjcW0qftNYEHV/ova7DdH/K0+995sj3qUSE+ruAfxexLPlBJAG/D/i7wF962GubxJDnKfODBZk5cl1cX+eP/LFv4VMf/ThpspDjSF23N2Rtbr6GRt0M1sqiojMQycW6ro3egFTKk4N7MjGuD2UIlbKwPReqx1f5NpP9Bir33Nkdbl7eochLI7SdYZle6RQRZPGMbXpj0tiQK0CExGszoGnCsg/1HubjOavbq2w/tc3BvYO2smpOAkfFo8Lpaq1xbZuNXo9eELASdfj81WvUlaa72mPzwiZu4IoD9b2JMNeKFborXRm2GbU512g23H8tagNXm4/nxuXE5tmtbb5Y3DGi+44M2kwldRKG26OuU95bU7SYk4SW8ZBl2QxHt9mZXRDLp7putTuUgXi6gWsEsFSrJJgZjenZaMZyIoaohVEcDLthy1jsrnSIBh1K0/P1Tu6teKpwXb8tUGzbZTrbZz09x+bmBQCuX39ZEFDKoq4Kyqowp0kbz/NFjMd8Lg26piwaqvmDcxWlFBcuvI3pdJ/J5C3lNI6Mx9N2yNOWPqp1ja5rfD/i4GCXX/jpf8JH/vS3Enoea70u7/nwe7j+ynWufPI1xvtDpkMX23FlUm4gW02vr+ktBZ0AZUuF5RoqctN7iueir5AuU55/8Xl+4LuPbTl8N/C1WutYKfXDwP+jtf5xJaXWkS6pzXuKl1Oufu4qo4/M6YcBnuPye599lv/8R/8GP/W//yxf+MRnBfPsRzQUT98LxR/LKMDJJuOzd2uXPBdKtW27bJ09y6d+619w6/ZrOKZSam6uuhZcs++F1BzfD32U0LUYZF759BU+/HXvZ6vf58/+23+U/dmMn//VT/DpX/wM070JZVHhuDb7N/c58/QZti9tteSE5iFtFKRcz0HVQpxoBnSL6YLrL1/n7V/zAs+++Bxh4PMv/89faTebJok/jrh5a5cXzpzBs206/T4bvR6R53F1b4/JMubZDzzLfDRjsj9lcTAnnifsXb/H8NaQweagpZI3fme2LXjldJm2FlhhP6K70qO/0acXyslm8+w23e4qWgtoX6Hao+1jCd36QJmJvByt0RqtFdeufZ6yzHl38XWcf9t56fvaFn7k4wUeyTwhTwQG2igLpsusVfuqazEKaIxv186utb+6sVPqrff50DPPsNXvP5YlJsmhdY9SFmlq8fLLv4rvR2xvX+L55z/EwYG0G/I8NXKpxQNtBZAkblk2juPgujJYbloRZSkaMo7j8uf/1vfy9/+WzdWrn3ugx9s850fFY6t8pR/iUJWF9E5MM3p//yaj2ZxzG2tUdU2v3xEm1CIhizP2929T1xVhIGwTjTaUQd1ifuu5Zrw/JAy7RthF3FbzPDHJCabDCS9+/bvZ6B0rrKO11o1K0jdjpOe11vq4h70ZGFV1xejOiGmckJcVjmXjui6/56mnmPzxDxPPE176xMdJ4hnKAL+zdHnIQ25aCTPVHo96vVXe8/Uf4M2XrrK/f/N3/E6h2zqOKzcCJ5+wnjYsW04ht6/cIi0KHEvs3Z/b2SH8/d/Aq7/1RaqDClXWTMcHeItQmIehT2+tbjVgLcdu4XFZKaIsdVnhGgPS/Rt7jO+OePHbPkCvE+E7gqdsrr20OB/PGqf7U4qqwrFtXNsmL0surK9R1hWVrsmKksHGQHy7XBvX90gWCXmaszgQiNH9037LOYSUgWCe13bWsCzF5vlNykpOEb31Pr4fEi8NTvsE1f2XExqNeot80PSBm+fz2htfNFKiIn9Z3mc4iWmVFalQhmODX7ddG9cSNETTZrNtmyLL6a72SBYJ3dUuZ1dWODMYEPmn0rA4cTSfn1wLYdhJW6dkOLzFs89/wJwwxsxmh6bdrhtIy8AkzPur4FZAn1qEwkzS9v2IrX6f2eTwPj3NCVQ9ruPqvyqhlPokIqrTRaQWL2kRG78E/HOt9bu/qm/wSTyJJ/GvZTweZP6/WvHDCG/8N4EfN4n3OxElpb/zVX1nT+JJPIl/beP/95UvtPJ1G1rrl8zfPwLEWutf/qq+sSfxJJ7Ev7bxJPk+iSfxJJ7EVyGetB2exJN4Ek/iqxBPku+TeBJP4kl8FeJJ8n0ST+JJPImvQjxJvk/iSTyJJ/FViCfJ90k8iSfxJL4K8VgYbt/35/+2LrKCc8+dA8SE0Q89I60oghphN8D1PRFUsS36G31832Ot28VSiiTPKYwLRa01q50I33EJPeHPV3VNUVWsdjoUhmdea01ZVVzd32P/5j63X79Dukj4kR/6y8dTo5SyW+L7CeMP/+Ef0K7rs31ph80LYjGtlNjGzMdz3vbBt7G22se1bZZZRllXrcdZVVSURWkcegssS7WSkiK/pynLkiItWluixWQpNj5JznI2J05mTKdDrlz5JFprptP9rzgF7Pf//u/W/f4Gw+EtLMtia+ci5587J9RTx2qtmmzbYmV7FS/0sG3bWKaDaztYShF6XvunbVkErkvgutS6xlJivhi4wvcvDaX49Xv3+Og/+zX+5c/8HB/+9o+wdmaNv/59f/IrvsbAj3RR5nheyDd8w3fwJ/7in+ZbPvi+lq2UlQVlVZOVBQpF4HlYojfT0p6ruiYrS4ry0LH3/ijrCoXCsW0iT56Bqq4ZL5f4jsNat8tKFGEpxYX19cdC5fvGb/xODfB1f+hbcD0Xy1L01nrYrhhGdlY6OI5DWZYks6TVXU7mot1QVyKc3/iY2Y5NVVYPeA4mi7Rd/8HeuKXuTqf7olpYFdy98zqL5ZSDg92v+Dq/98/9V3rr4habF8QF3TYSpyLa5RD2Q2GneS6B5+I7Lq5t49g2vnOYDn3XNZRiSPOCStcss4xllpEVJWkm4l63XrvFb//8J0nTJdvnzxLPYxazKR/96P9h5Cf1Q9f4WJJvb7XL8PaIxcGiNVbcOLtOkZck81gEnI04jhd4KKP4n8Yp/soK692uqCVVFbalcCwb33XaBwAOH2rXtqm0xrEsiqrixmiI74iC0t6NfeGtnSx+G/jAadbZX1klGkS842vfQWelQ11W7N3Y59Zrt3j2/c/wzPkzeI6NQrHe7TJPU+ZuSpyKRq9diEPHchq3HldBNxQLcg1u7Qo117ZQlhJDxsqmKm1qXWFbDt3uKpubFxkOb53qGp00LMtiNhvS76+LrX0vosgbrVqb2WhGd6WH5VgsDhZ0dEckMVH0g5DabIqWoWIXVYnn+HiO0JQto8omVF6HXuCTFSW2ZfHs9jajb34vt6/cZjqcnsaJ+lQRdQYkyYKnn34v3/qnPsK7X3iGWSLyuL7j4DsuvgPdIKC8T9oyK0viPMcxIu9aa2zLoqpryrrCNqp+la4pqxrHiAmVdWXuaZezq6skuTzUN0cjaq25sH4qE80TR6ezgu+LalpDF26NCfKC2XBGf6NPGMh/a9w5gk7A6s4qtiOmqco4qCilGN7aZzmLjY9fBbtj6lqTJzlVVVCW4kru2G6rAtbvb2A7j0dYp7faFWEnc03qSrRlbFe8H6uioqLCvy/x+q6LZ9sEnttaAHmOKPJprVnv+ZRVTej59IOCeZoysWIWccLO02f4PX/gRV7+1S/wwte8wGTvgBuv3sT3QvL8aEXFx5J8Hc8lnsWsnVmjrmqzU2pqc+N6gQtGbMXxXGxLOPFrq30izxPxiqomznNcy8JzwTdat4HrYRt+ea2lSvLNBxV5Ho4x0KuNyPr96lnHxC5K/T7gE2h9InWToBPQW+22AiKO6/D6Z97g7LNneeadT7HW6RD5HnlZMY1jaq0JXBdLKeaGDy8yi5YomZkbu2rst2sl+qlFIbZK961FKYVlO7hoer010vsERb6SYSmbIOoQBJG8l+rQf0vXWjbURYLj2vSNo4iI4SumQDfwCT2PtMjxHRdQ5GWFa1c4nlyrwHVJ8tycaDR5VeGb728M+px55gx5khNEwWNZo200ktfXz7JxbkOEjxxR5bMtC8e2qIwof2nMAcq6pigfdOAt38IvsDYVoW1ZYoWkdets25zg8rLiYLmkqmuS7EQ+kY8UruvjOI5Y+QC2a1OWFVWa013p0h10cD2XLC9YTpZy4kpyscPqBqLglxV4vktV1q22QxZnFFlBFmeky8wovdWtt1ldVyjLRhmjTZTCdR/PtWxcVRrxd6UU2jr8vC1LHJRdx8G1bSLfI/R8PNsmrypsJdeqqYabr8u6JnBdlllGUhRyz9o5BQVhL6K/0ceyLTqDrriA+BGL5eTI9/p4nCxSeZBc3zUWHAXL6RLXc3F9jzwt5Njj2G3F6LoOXT/AdRzysmKeJAwXIloSui5b/T6FueHLusK1HfKypNaaQRhS1rUkX9umHwYsYkkIK0Zr9gTxQRoHY6UaFReN1g/15wn7oRxvPLf1bVrZXuHsM2e5uL7OIIrwHBvfqZnESxxLjtd5WeJ7LkVVUeRyoziuTaE1dVmJ9KRxCQDR/a1rjeM4FMaKRwSE5Gvfj+j3Nx7xah0dUWdgxGJsY28kBog2VuvdpSzVOh80URrJyawbsrIiSXkai35RUVasdjusdDr4jtO2IGzLIi1yklyOtYHrypF8Z5X5eH4a6/hThVIWjuOxuXmB7qCDbR5W21wv13ZwLE1ZV9QaHEvhWBa1ZeHZdlvZAji2jWNZpIWRcDSC3IExRAV5uAHysmy1hB3LIslz7JMXC6cOx5HnT9pdOZYjal3yXLqURUkWZyiFOK1o3doiJfPY3HdGRD70WveRsleSp5lYP+1PKLKcIhevtKJIKUtRNxT/NBGvcR5T5VsVVVvIVEXZGhQAoDWdbkTkefTCEM+xCT2f0LQYyroym639QNvBd118QHsevuuwzDJRQatEPMkLPDbObbQKdo7n4vnBsWJXj0dM3VJceuclhreGRIOI/nqfxUR0bburXVa3V8Vwr9ZM96dgdtQ0TpkOEtY6HTzX5fLGBrZl0fH99sgGtDc60FZOtmWxSFNujkfMlglKKSZ70wcSwpGh9eZp17l1cYv1sxv0w7B9oOKndnj75fM8s71Nx/dJ8pzSkmPmIkuJTWWTJRlVVVPmBckipcgLqDW9tR5lWckNW0sybvRwRcIvJV3IkbiqpAWztrYDx1iWPGrYtoXl2K1kYJ4VxntOTFC7UYcizSmMPOTK1sBICrqi5+p5eLZNNwjITKXoGVFu17LwHJvRYsE8Sai1Zq3bxbGstr9mKcXK1morMv84wnFc0CEvftsH2BkMTIV+mCSrujaJ2GIQhhRVRVXXeI4jbQgUvuPgGL3XWmsGrhxpQ8+lqjVZUeA5kgjmSUJV11gmwduWEi3hMKSoyoe+zy97nUYn2ws9aR2pDGfgUJgKt9OPJHG4DnGSit9cnIkTt2WBScaNFGhd18SzuLW7ypZGolHLGpSyjStETpYnh7KgxlLocUTjGNK4lru+SGI20Q9DVqKIju8ziKJWia6sKromYXqmKq7NM+WZZFzVNVVdt9fZtcX4wQ89VrdXsBybLM7wQ5/V1TNiJX9EPDZJScyxulG/Bwg6Pq4nduGFMU8sSwvHcdCV9GW2BwN6gY/vSGVomd1jvFgCkmwd22aRphSlEVt3bHzHpeP7nBmsYCuLaZLI7pSeyA0WlPIQK6G3IaaEfwn4YbR+6DmwqQI6Rh4vLQoGKz02en16QUBlbjalFMtMOhm9IKDWmuU8pswKkcJsfK4s1Va7tm1TWqa3WtXUZd0KzDfOB83/WynVVt5f6XA8Fy8Uw8QszsxHpXAcGz/0xTgz9Ai6IWeeOUN30KEfhji2TVrk2Mqi1prxcklWiPylY8mRzrNtBlHE9mBAPwxZpCnjxYLA84hMqyLO89aM9HG6dTiux/rZDRxzTa32mPpgJVrrGttSlJWmrGtq0+ft+D7LLGsrp8iT9pilLEpdsjudohSsd3s4xqCxkZZ0LJvKnNzy6vFU9yAmrGE3bB3ALdvCti3Cbtc4SEviBZjtT9FaE/U7RIOIqqhIFglhP6LTlxaUrsSDME9zltMly+mS+tZQjDOTlCyLQWvqVsBdY1k2WtetK/ZXOrTWrW9j03Js2nkgpw04zCO1uYalkaKUQk61w/6mpSntIXlt0/YUaUqHyhjk1rUmQ6pi3w+x7aOr+8eSfCvj8WRZFlkiD+zq9gq264gV82SJH4nfV3+tJ0cYS27YupapYq0xJb8ktubmzsqyrQ5c4/GmUG2l5NjyIORVRXe1exKL6iZ+DNgHXgRK4DngH3KEj1t/vc/K5gDXEf8x27LY6kvf+tAjS4sOrm0TeX6L5HAcG11rKjNck2GNTZ7kreGkuN7aVGWjUUq7njzLqLV4f6E1jZ3QVzq8UG6suFyKw7Ln4ri2aCjnJRvnNwi7IZYj19p2bGqt6fg+690urumbzZKEzJUeYFnXuKZ6iPOc0WJO1w9wbIteEFDU0u+3TP/Nj3wCY5D6OEIpG98PGGyKH53W0nfWZYltKQJXBn2WUqRF1T6IVV0T3FfZL7MMz3HayqmoKvYXU24fHHDttZtyUljp8sz5M/QC6Xk2943WmtDz8B/TCQagt9bDMRZdyjiEOJ6LF/hkiYiip6ZPGnRFlzkKA2zLYr6MZTiuFFVVE4/n7SmoLmuqqhLHitUuRV60nnxFIZWz1nV7OlPmn8cRjhmsAS2CqK4qqKSQ0OafWtfMk6S93pWZHTW9edtqZkoVRVW1VbCctD1cJ4M8p9Yyi3F9jywR014v9HDd4NjWymNJvvE8pjPoABhVf6kAFwcLLEuce73AwzO2JBrpp02WMpTyHIc4y4l8D0tJw9t1HDpAYG5Wx7bbAUcDY5olCXuzGRqNZ9u4vnuaaulFtP4ASv0htI5R6nuAzx/1gs0Lm2z2e3i2jTaN+ebBk55QSVlVZEVhIEjyukqLuLijNXXtiLFmLfbijisWSI7nUFe1+NMZqyHLkaM+gLUUxENdl8bt4fEc41xfYGRlUVGWFS5id1QWidnta9Jl+sAppzGM7AY+tdb0goC0kOTpmMGGY9t0fBl0uI6DRhNnOR3fJ0C3J4XAdYn6HYq8bE04v9KhlCKK+nR9kxC1xlWKCmlxaUe3CTIt5CTVVMSR57UbjGse3ga5MFksOdgdc3BPBi9e4FFkBdc9hzNrq6x3u6bytYwFuYX7mDZRgKgXURYGlQDgmmrUVuIcvUhQlkVvtdv26cuqIs1ENL5xZG58EZuWXpaIlVBVlEYkXxA6nuehtZxuD01jxanG4/G0kMSey6Uua7I0xylrLCvAsqV1V9W6Le4qT7fPrOfY7TVuTmdlXVHVBsJaHKJc5ETzu393keZUVY1t26yvn2mtix4Wj+Vu9nyXLM4YbA7kqGJ6db21Hp1+RF3XJPOYLLEJexFhIE1v1wxfmsQ6CKO2v5IVBWlRUJoHt0m8ZV3DcknH94k8j/Nraxwsl+Io4TosJ4uTvm1tWg9NebVx39dvGTurA1zbkYThupR1TVrkhJ5LrTV5WRHncnSepQnLLDMQnNr8KUe5Ii3kWFRrsRo3faj5eM7NV2+QxRnaWM5b5ljc4KXLMqcqCxzn8cCwbMcmXWaM9u9iKbvtG3ZXOjjGh6vt73YleZWZMT41vdBmM1JKEec5k8mcvWSIF/qsrfa5tLFB1w8YhBHzNKUwbiBZWZrkYLG6vUo8ix/6Pr/cSNMFtmW1wxfbsvDN8MyxbTzHpqzqdi22ZaHM/VpWFaPFnN96+YvcvnKb4a0hpYHjbZzfYOfyNpvnNxkYHO/eZMqNu3vcsvZ5/uJ5Gdrdh9p5XPHmq1fo9VbYOLcuG6HniHdiXdPpd9g8cwhxa5JSbnDLnZUOy8mS3lqPZB5TFhWuL84VfuAR9kJ0XTO8PaKz0hEkxHTZJl3H8cTLUWvm84rqMfW25T6Tqvf+0ycoQWUEPlWtKcoSJwiwGox2UbUbqFfbZJRtr3+0WLR5x1IwTzNc26EXBCzSFOVDHdVcf+U60+EUAN+PsK2j0+vjGbg5NnVemn5S2B6fO33BiFalTFAdx2FxsECvSJWoUC0cC2TXjXyP9W4PzwCga0d2r0m8JCtKRrM5k70JnUGHzfUVLm5sGOuhurWzPmH8CPBLwA5K/QjwbwH/5VEvUKh202gSizZJtzlWLdKUu5MJo/FMjnXLlPlYbKbrUgYayhZboO5ql2SRthbzB7sHjO6OSZcxeWFsuGu5aYNAThaWsqnqxzekyZOcdJmSJAs60UB686YVkmcxk70JnqnGbdehqip6K13Wz22glGJ1tc9Wv4/vuuSGhLCYLBjdGWFZFqNBRP12QaxEvkcvCOlEOeBDAAAgAElEQVT4PvM0JTBDjiLNiTohiRk0fqVDnGddukHAIAoxLUNsk4SB9ntNb7A0a0nynKqu2Z/PGd8dk5piY2VrwPrZDXbObdIPg5ZgUVYVK90O43JGlmQPVNPNA/64Io5nRFEflGrJB0EnEFiWI+u8nyBSmRaRXAOBlfmRL21FV4qAeLokz4p2s8H0yS2D0CmLvB1+Ae1soipPOIs5ZVjGyPT+0rQqK6qyEu9Ak5Ar0960lMJz3XZDtdUhLK35Wc+2sc0gDmCmU9KiaDkHCvGWTJcpy8mSoBNQVaX0vI+Ix5J8BffpCATJFlxh0Ako8pLpcEo8i6mrGtu4D0+HUxxHJofxTOzHg07A2WfO0A9CsqLkzMoKnuOQFjlZUTCaL8gL46C7SNB1TbJI2ub4bLZgcTDn4N7Byd601j+BUp9CfNxs4I9gxNUfFpYSCJFjWeRlSZrn/x9xbxpjV5re9/3Ovt1zt9qLO9lNNtk9+z5arLGsaIkSC5IhA3GUxbETO0hiIBvyIUj0IQaCwEkMBE4sJ4oiB7FjIVIMR4oSyZpFkiWNR7P0Mt3N7uZaxdrr7mff8uE555AzarKq6GnkBYgiWfeS9d73nPc87//5L+S10qnhro7DkK29Q+6+ekfSeccLJvtjOgMf3dQlRl1VQFXIkow8y9tGyORwQp7mhNGMsiw5Pn5EliVomoGu65img+f1MZqq4gMYwWTBbDZuKxhFqxOjJwvSOCWcR5Sl0M86PR9FEZqZWgdJhrOQ/HzRCiyihTx8okUEVUUwXUiH2DaxPJuNi2u4pknf8+qmlUpRlESxcEk/iFGWJYZhtQ9O9YkbzdB1FnGMUc8/TlOKqiLNMsJahRkkCfPjGeE0wLBMuks2F25eZOB30FSVcSA3oXTQRXCiGTpVEHO8mDP0OuRFwZ2DAybTOTc2Nj6QeRqGRX+lL7i9qdcYLjWOr5OXJZ4lfYmmmZgXhdxTWU6RiUKzKR6SMOHBmw9k49I1TNskmATCnohTptND8jyVzUnTAWFMGIZJln0wVDMRVVRURYmiaxIDb4voQrdkk83ynKrm7krzVNY8LQqBjuo9pKIiKx6zIYIkkb/Lc4IkYRHHhEFEUZTtBp+ECZZrEYYzgnD2zJ/1A7ljXd+VplFREc4DNF1jMV60VV+Dfc5HMZODqfAFa5yzu9Slt9Kj0/NIoxTFcQnTlKPFAkNVKaqSoqxY9n3yssR3JZo6iRLmozn/z+++3kbIK6pKEjxbZVJju0+ORq3wURTlo1TV333aWwVuMIlrSCRKUzYHA4aeR14UbI2OefPOA+6/cZ93v/4uk9ERQTAljgPiOMA0bXx/SLe7jNvxZJHrmPE0Sjg+3uPevVdbpUyeZ23An9fpY5o2UbTg/PkbFOEHU/3u7NxlPh/h+0MMU4Ix0yhtAySBdj7T6QGaZlBtVTy643P9Yy/h9Tsc7xzTGXSwHAtVU0njFN3QmY/mxEHMm3/4bSpKdN3ixqeu4/guKxdW+MSHrgPSN3jv6++2UMvThqIo93h/qEhBMlGvvt/7Op0BhmHxa//rb6JqGlVZ0hn4eD2P3kqPF65daKWnoyDAt+2aeF9w9/ZDFuMFk8OJ9Dq6HsE0YPv2NmUpCqkiL0TpaZskccqVV660/HdFVWCDVm21vjx8vx/xezKu3LjO2uX1Fp9XFIXx/oTx/pg8zTn34rm6aiuYHkxaPu98vKjDMIWvv5gs2uab5VpMD6eMDg4Zj/c5PHhAXlMgm16P63ZZW72EbpigaXS7yx9Yg7gJ6syzAh1pstme3TbWFvOQKE7QnqCLZUXUMpI8y6Lr2JR1EzwvCu7vHxBMAiYHUgxphkYSxITzqK2o/WEXRYH93S3mU58gmLJYPLvw+2DYDlmObljkmdDJLNeq1Ww6Xl+Oy4Zl0FsV+ktztFV16bQ2UfDLA6EgpXmOpkiKKCXouoKmKnVSsMpI14hmIaOd4zZCXjN0XN/lcOvwpB/3C/XXa8ALwG8ABfBjwLeBp26+iqKQZFnLMQ7T9DtoZw+Pjpnsj8mSlLXLa/hDn3AWMB2N2dm5Q5YlTCb7JHHAeeu6SHeTlJ27W+zs3GE83iNJIkzTxtBNbKcjidBFXifOSjc5ScIPDPMty4YcX6KqcmwLZgGqqtJb7mE6JouxQ5ZmrXKq2YzvvXGP7lKP7lJXpOSWQVIfUeMgJo0SwlmIaVkoNUQVziJM26QqK2ZRjGdZOK7NYhpg2idWvj/0PHNcX79ClkkV73VdFFVlMZYH4Ox4RhqlraigO/DpOQ5xljEPY+G6zsPW+yCYBEwOxxiGQZ7npGlMGEwpq5LhcAPLsZkdzVg5v4w/9OkOuyz7XbSa+mTqHxzsoBl6CzdkqXBht29vE0yFxtkkMVdVxWjviO6wh91xKPOC7nKXNMnklGDq7YZ2uHVIOAuZzY6YTg9IkpCiLNB1E8MwWwFLksZtEraiqBjGB9ejMEy9ZeRYriVFTSZFTRImbb+iWbM8zdFN+Wxsz2bquwAtTDQ/npMlEhefximj+yPpw5QllmdTFgZGGEthkkYURYbjdP7/EVm4Pa9tGJWlTM7wDUzLoL/al2hpx8LxndokJmC8J08Jr+e1H5iiKC2u0mBFaq06Ksqy5ehFi4i8vkDWr260GvTFeNGyLp46qupfB0BRvgR8mKo6qv88AP7hs97a+E/kZckoWDAP47YBE6Yp+9uH0nE1DRaTI5IwYTaetD4Mtu1J48Ow6K8NGG4M5QJJIo6PHxEEU3x/2HIjPa+H7w/RdVOONcFULvY8w7Lc512uEz6egqoqMQwTy5LKtTFl0fT65gumJGlEEgeUVYlte2iawd7eXSZjj5XZea5/8jrDjSXmozmz4xmLyUI2qpF83Mtra3SXunSXu/SWe1RlyWixQK85tEmYoJ+8Mf2pE77/vg/S85deIFpEvPz5l1m5sIKiKkwPp4TzkGge8ujdR4DQ7tYurTK2JtiezWKyYLQ74njnmMOtQxRFIU0j8jwjjissyyVNI7a3b1MhHNcV6zxez2Npc1mO56kwYUzLYr3X+xO84u/laPivcRC3J6giy8mznDgIuX/nEZqm4zo+aZagahIbr+lqW+VZthhbUVfu4z2JYE/TGNO0WVm5CIBhWm1BkOcpZZkLNx0FRdVO5MA+77AcSwy7aspcWZTMR3OyOGVeX3Oj3RFFUQjVMy8oi5LOoEN3qYs/6NTSaOlTqaqKaRs1rFASTIMWWtANHccX3rSma2ALxSzLYtIkIsuezWU+9earKMpNhAHQbudVVf3u+722mZBmaNimhdfrsPnCpmifa+ekxXjeQhFVVeH1vBoLLqTRVBwz3h/j+i5ez+Xyxc32SKAqKm883CJaRMwOp+w/OBDsyjY5f/08F9ZXMDSdV19/5yxNmk1g9MSfA+CZ4FteFHQdh9e3tggWEY5nt/rv/emUTr/DnW++x1e/+BWyLMEwLPb25Bjf6y7T7a2wsnKBFz9yk+Xzy5RFUcMyKrpm0O0u0eutYtseqqry+uu/SxBMMAyb9fUrDPprAEymB6ytXTntPM+0lkeH28RJwAvXPo5hmxS5XLQl8OjeQx4+fBOQaveVl3+A3vKAaB5SlhWLxZhFMMGPh2xeXucTVy7z1qMdvvT3v8RiNiVNYyaTA9I04uhoG+euj+v4vPTJD3HxpQsspgEDz2PQ6WC5FtHiBAjp8Snm/UbFUzbfYLbg4OAhr3zoL3GxNrX5unKPspQb98GbD5gcH6IbJoOVZa586Aof+YEPcWVzjenhBNd3cH2HPCtwuy66oXPr87dYPr9MnmQEs5Clc/LvJmHC+voSl5ZXeHdvr/WQaJzRjDM23M6yloYtXieqKtBPlmS4PU8eOJrK9OA84/0Jx4e7jMe7zGZHqKqGadosDTc5f+MiF25e5Nu//wbbd+4znuyzu3sXqrLGdGFt7XLLbNB1E12XJmwUzsiyFNO0MU0bXT993XeWOQ7W+kKBzEvysnEDXLQq2jROpeqvXQWLrBBGlKqwfnkd27NxfYfLH7qCa5kYus47X7vN4aMjDh8csFjM6A+XWuHP2uU1Vs4vo5uyQc+OPsGbf/wtvv713/reNNwURfk7wI8Dd3iMqVXAn36/16dxSp7muL4jnFVDa0v7NEo5HonjmaIIv1BRFdI4ZXIwYXo0xR/6lHnB9GgqjkprfTY2VvAsUb4lecbdV+/WdozCMHB8l6XNJe586w75ywVXL2xQlhWj3ePTTBEEbvhtFOXXkEX+WeAfPOsNtmnWblyiPht4HmkNzOdlwc6dHe6+fpfBYI0XP3qDLM3Zun2e+XzEcLhOUeRcunWZ/kqP4fpQtPW1KKXbXWZpeRPH9rnw0iVsz+bB/TdwHHkyT6eH2LZHt7tEIPZ8p5rkWdcyTgIUFLyuL0ZFqlS+aZyQJBFXrnwYVVWZTA7pLvX56Bc+wuH2IY/e3WGzfIHp9Ai/38ezxBlqtdvl8iuXCKYhR9tHWJbD4eEW6+tXuXTrMn/0O7/Dgzfvs3xumZVLq6R5jqrAYHXA3v1nz7FqTjGP5zqoqurEjuvbb/9Ri/kdLRaMFwtuf+0dRrsj9u/vs7/zgCSNWVraoKgpVpuDASu+z+VXruD4rpi1mDqO7+L6LqsXVzAdC2+pj35ebU9saTfHtUyiNGGj32ej3wNoaYlnUfGddS0N02gtXE3bxPUdOgOfIi843Dpk994us9kxUbQQ5zHNoCoLDNNiaWOFtUtrDNeHzEZzjkc7hOEMXZdroihyRiN5f8fr0e2toGniumdZLpbttTBEvVYfzBxr7wpN10gT+RovIjRDx7QMnM0lgdIyuT/jICaOQ3TdIpyHNbxksLzUo+96qIrC0c4x+/f261NNwmwyZuncElmScfjwAH/QYWO5z3wWtAZEZVl8z2CHHwauVc+Q2n7HP1qbWVie3R5vROVSEYcxO+/t4HQcDMtg/919siRrgfKlzSV5j21SZAVxELOYBC0FTddUvv3osWZ6//4Bs+MZSRJy6eZVzr14To7uGytkacbDd+6fboZV9e+jKD+D4IYV8Deoqn/0rLdMggDbMKgqaQrZhsE8ipiEIbuTKfPRnM/8xGdYv7qBrmvMRnMuv3yZxWTBYrLA67r01wa4vsv6uRUePdirXaRyut0l+sNVbn32Zivl/ME//TMEs4Cqqnjnna/h2B103cRxfNL01BX+mdYyzzOxkuw6WDWn83h3hGGZvPDyLTaurpNnBdE8xB/6FEUpx7ehz/btbYxtg/5KjzjLGAULbMPkpc/cZHo4xeu5pHHG5eQaG9c2WDm/jGEZbN/eZrQ34uanbtBzXWzDpL/a43D7RPweAEVRPoI8OF1FUT4L/C7ws1VVfeP9Xq/rJrbtMQtCJtM5x7sj9h/sc//NO4TBlMPDLVE4VSXnrl1k49pGK5B45eIFhn4Hp+MwPZyi6Rr91R66KXL3niP+FiAWlEJnUvFtB0PTsA2z3YjyomxpZ6ccZ1pLy7GoygrXd7Br7v3+vT2239nmaH+fra23mM+O6fhDLl16GcMwcbwOveUe566fY2ljiO1Z0nTSdGxLHv6m6VAUOXmeMp+PsR0fz+sxmRxQlgXD4QadzgBN02pP3/wsD5kzzbFxCoR6H9LFK1w3Dbyuy7vfeI/DrUOO9ncFBtrYoKPIA7A79Fk+t4zruxiaCC+SLGd5cwl/0MGwTPn3i5LhxhKWa6Hpj21CDcvAH3bp9Vba08yzxmk334eAA5zqA1AUaah5XcE0Tdts1TDHj4558MZ9DMtkdLhPkoRYlktvuIzXdekOfZbOCR4WTkNUTWmdlhoXIkvX6S33SKIEp+vw8M572La4o731h29x9cNXiK9fQFVV9vfvn3KKAOwhTbZfAj5z0osXcUyQJMSBgO2uaRKmKTvjMUeHY259/lZdFRRsvfWQNJKPL88K/KGP3xcGwPUXLqCrGjuqIsYgaUJRFpR5iT/0qSqBcq5+5JooifKC3nKfxXjBYjHGtr2z8CbPtJaGYTMcbKDWx2G747C0McSq7TQd38W0xftB1VTSKGk36YOHh3j9Dk7Xbak6mqLy4oVN3lNo2RK95S5ev8NS1+fDN67y5r0tdu/s4JomTs3BdHte60F7ivHfITztv1dV1Y6iKH8V+NvAp9/vxb3eClVZsHd3l/l4wexoyltff7U9XWR5Sre7hOv1uPHpG9y4cgHPsphFEZqqCD94uUdvuUc4D9F0MUEKdbUVDT1pyL7W7eHbNpahY+pG6xEclAnxCTjhd40zraXjOximKAY7gw5lXhCv9BhuLpFGKfsPbjLZH6ObhkjzLYPuUpeV88vi4eHZIirqebiTHokWsrl5FdsTcc36+hXm8xGe16fT77D/aJskCbHtDp7fbRkTi8WzrRb/WeaYJRl6vQE3cvj+lT5VVcmmu31Inomm4NzVS9z67E2SOGV2NMXuOHT6db8qilqGy/rVDTRNRdFUTMvA67j0XJee47BIZA/oWDZRmjJa7oojXHmyTPyZm6+iKL+EVIE68KqiKL+L+B4AUFXVX3y/9/XXBpi2yfqVdTzfJc9FyaVqKnma8bmf+jydXofx/piv/sZX8Xoetz53k5ufuIGiKPQcB9+2+f2vvsa4NmdOspx5nNCxUm6dO0eS58yDkN5yD13XuXTrIpdvXiIrcjRF5cJwyLa5Q7+/epo1A0X5a8BPAeeAXwF+AUX5RarqbzztLeNFQLSISMJEcKZKpIsd26Y/7BIsQvJSGhqrl9bQaj+H5thnWyabgwGXl5e5d3jYUndcr9cyBkZ7Y5yOQ1VVjPfHzEdzwmlQyxhVLly7QhKlRPNnV77Pu5bXr3+SwWBV8Pquhz/0OffCJkmckjwhGKkKoWeZtrAC4jCmLITfbVgiYLDqI+q5wYDzwyHvre3z1tv3KIoSXRdvD0s3+Pj1a1i3btT+qo+FDg0kc4rhVlX11hMKp99WFOWp63jnzjfJ85TF9KcJpgEP3nzIy5/6GBdeusB4f8xwfYhhie3i5z7+Mo5ptv7DqiLGTueXhtJsXRV61XixIC0K4iwjzXOc2u+j57gMPI+8LAgD2U9sw8DUdaZhSHoKt6/nXcuyEA8Gr+/R6XvYhinNTSqKvOTSK5dEmDQJGO+PsRxTVKn9DvnhlCRMONw9btWGYThDM3R6q306PQ+vL1VyHMbMjmYM1gbkeY6mCYsgCcU/oniUkyQfzPXaWAroutb6UzQCkPUr63zoky/hWiYK4rGS1g51YRQTTkNpPi4idh/sMx8E2K4EPtiezVLXb0UxizjmaD4nSzNcx0ZXM6ZRhKZrrF1apSjzE6GVkyrfL9dfv3LC675jdJe6GKbOyrI4jM3iiE7fo+e4DIc94kwoWWubyy2zwet7xFnGsu+z0vUZLQJ0U8fybAHFFyFT28bSRc672e8zt22U5SH+0Me1LYaex6Xl5dbIJg7is5g2/2tItftVqmqEonwK+KfAU29ayzSYp3NMW26eCjHhzgy9tasLg6jtYIsvropmaKz0uuiaysB16Tq2cIY9u/Y/kAuoLMvWrEPXhQPtdV3CedTGDTkdm2xv3Ho+PGN8uf56prVsjFQaW0vTMugMfJy8IO8JBU2vPRdUVUXTNaJFRLyIWjN7wxS/3qVOB8vQW+38C2tr6KrKt159h917e0w6Uy5cWMMxTXquy4rvtw52uqmfxZt5VEMPVT2Hv8B3NlP/xBwbEcnGtQ10Q+P7f/yzgFAGwygmCWLpX2haa5pTIQb+WVEQJikHsxlRTTc0aovJoo5EGgcBUSxrdlz7VKd5jm/b0lCsxRynlBd/uf56prVs5grU6Ry6PERqFkSZl+1G1V3u4vouru9IEEJZtkKmpqpsjGPyVBSr4UwMs4qskYUrqKX4kTzpxdzgvh/YHGt1XSP+cDqOFH5Zzt7+MbqhP4YmTB1N0+r0mEpikqIE6lMo1KZXusrAEwisMX0KkoQ4zei5LkVZMl4EVGWJbho1NfPZzdNnbr5VVf1yOyFF2aiqaleRtIcPI45f7z/5eoHXur3aQahiHku202q321KxFApevHm5jZhZxDEb/Z4kP0QSTZKnYhsZBwnH5rzlQTbuUQDXN9ZRVXHE6rkufvk4bSHPT10tFVRVymOcJkb4vk8dk9EMTVeFNmcYxGnGUscnyXM2+3LUKaoSsxLTjSclj3fvPSIJE4pXrnFuOBTnfFNvFW1hMCUMpkwPL6LrGp2Bj+vLhm7YZkufiRaxXPwnqL+edy1N06EsxfaykWsPa66noorHblFzq4tM+LtJmLSdf4mhEbhAU1Us3SCqTXYMTePyygrlh8Vyshl2jZE2G5Gqqniuw/K5U8fr/FXgl4GXFUWZAO8Cf+FpL+52lxmNdpgeTLhw4wJOx+GFtTVxYstztrKcyja5uL6KZ1kU9UatKmIHKbzfVIQ2ccJ0PBfP3Fh6GdE8EtjMsbBrb9nGgGiO8MOb6vf90jC+ezzvWmZJ2oojml+m/ngjKsuybsJ1RO7uyGluNltQZAWWY6FVAhcV9WZlmHqLs6axRBGpmiqxWM1JznfrtIu0tkQtT6TUPe8cQSA63dbEzrI+VYlV6BONvrLC9ZyWlz+LJKdOSABGqydvzO2jRcyBNWOt28OzLLI8x9INOpaNa5nMImHiWK6F23XaptuzxmnZDv8DYCqK8l8Dfw/4LeBzPMVuMUsyDMvgYDbDrCuAxhKycbaydF18X5tNsizpOg6Hs3ktayzbeJqyqNi7v8emvkngOTimxeXlZZY6HXYmY3zHYanTwbMs4ixrHaJ6Kz3UE8wtnhhfQY6mHoryU8C/CfzOs94QTAIUVcG0TbHPzHMmQcCg06Fr261EM81zJnFKOA0J5yHhNGT14gof++gNbMNgZzzm29vbHDw8qPmsJucv3RC11CRguD4U3NN32oteHM+EHbGYzlvPh+/1WmqahuWINHzv7h7BNKDIcvxht4UYTMtAU1SiLKeqYHI44c437+Av+RimIdJhw2C938e3bbaOj5lFEZ5l4VkWL6ytMY1CZpHgZ5au45om8ziiKCsxKzIkl++Uo19V1fcriuIBWlVVz9R5fv8XfpK7t99mNpoLTGLLtdt4G1xZW23d1zb7/TanbZHEbd7cWrcnlpKWwd7dPb7v+z5Kz3VaTwe7NlcHiGqXuyBJOJwLF96qv784g8n4WdeyccdLwoSsrrqHnie2iApovt+mcjSS2vEiIImlJmmu9SzOSGtz9LR+6DsdB02XDc5yhcPfYN9VKU6H4TySnkWRnZrPfNY5NqwqED5zluZYriUnDM8lLxpjfIGzkjxvhVKWa6HnZU1rrDP8DIPMs0XdlyREaYqp62L/aej0HLcOgq17GIrC9HBG9T1kO3wa+CTwnwO/WFXVzyuK8rWnvbgp9+N6Uq5pMvBcpuFj7wUAu7Vok81SqVVscSpVRONAH81DKGRT1xQxvwjTlPVeF01V2ZtOKcoSpw7Fa+JnnmRbnGL8R8BfBl4Ffg74v5EmzVNHURRMdycM1geYukbXdlqPYRAe8CKOSdKMcB4xPZoKeX8WsHpxhW/fvsdo95grH7rK9jvbbL29xaOtO4ThTBppxx693kprtJMmWUvPAyHIR7OQPE/PQs4/01q6HaGYlXVkiohiQiGyK5DFmYR86gLzBLOA6aFQBJ2O06oXkyxrrTXnccw0itiZTNjo91jq+Fi6gallaI7AREGSEKaCiUZpyiQIW6P5U4y/rijKi8AXgV9XFOW3q6p6KunyaOeQazdvsnpxlUHHw9D11hjdqr2aD8OQrMj58IUL4udbFEzDqLW+FGaDS5zKGm2PRpTVgK7jiPgiz8nLElURh77GrFtVFIw61w84yzrCGdeycaGL5iFhEGEZBn3XxXzC2F1FRVPKNkG6ErNp8axt4CWtMZ+R12RxrXzThMqm6XIqsl2bGFoZeVmUVEVJnp9JCn+mOcZBjFFIk7bIClRNYTF20A0NxzTb9GxNVSgr2o04yXOJ7wJ5bcfBss3W9nTEgiIvmUYRpvGdVrWuZTJwXWxP/EEay82T4JXTbr4aoAJ/FvgriqK4wFOlY0VeyBE0SbFqnKys5AItqycczMqSQafTmlioiuRYHS8WhDPJjNINDXyXcCp/LmvAu6oqygpWut32wga+I/jOsS26g1MeVauqRFH+CWDW8/19quqZV4mqStpwvIjQVsR3Qq1doIpKjtLzWUA4C5keTTnaPmK8N0Y3dY52jnnty6/xza9/kc98/4/hdV3uv32X3d07LBZjonAOisK1ax/D9iyufPhq20wo6xujqYLjOMBxTh3TfKa1BJFsplEBqkKeZmRxVhuni4F6kWkomsrseMZ4f8JivGDlwgq9lR7zkVhlZLVjl6lp9F0XyzB469EjXr3/kM9ef1Hwa9MUY6IsYxKG7RE8LQox6z6l9Laqqh9TFMVGRBc/Dvy3iqK8XVXVT7zf6/f275EkIZdfuULf8+i7Lkfzedvou7u3T5kXdHyPnfGYcRAwCgKOFwsWofjY2q7NtdVVef9an4OtA2E01A/jJnCzccxqCpDmq1KHAGhn23zPtJZJlFCWhpgbjReUpXhnN119vYYiLF1nHssGUhSFqNw07XEk1xMbT16fvqgqTNtAUdWabSDfV1W1beKlcUqWZeR50qZWf6/naLlW7aqmYvkmqq7V/hoS2+SaZhvhpFCRVxVH8znHeyOiWSjsrBoe0k2Dgeu2sGmaSvVrBAHjxQKn9nL2LKtW08mk3a5zqmSZ026+fxfYBf5JVVVfVRTlTeAXnvbieBFhmAZeP6Pyaqs86oYTj8F+0zDouW5bCaR1VZRm0sgxbcH+dAMUVbq1QZK0APe8Prr2Pa+1gIuzrM1aStLTH29QlJ8Dfh6RFKvAr6Eo/wVV9VR8abg+YOv2Aq8nG98silnx/dY5aRIE7VN/tDti794eWZxy5cNX0XQNVVNZXdMu4HQAACAASURBVL3Ee2+9jt8ZMJsdMZseMZ0dkqZi/rG3d1duCMfi/I3z9eZbG7ZkOWUpm28YTk83zzOupRDSc/I0g7qREYcxxsJobfR0Q0fVVKZHMx6+9ZAkSnC7InduqoBxELA/nTLw5O992+L8cMj21j7bx8f4jtNuAhUC1URp2hrla5qGaZ+OaqYoygoiNf4h4AeQZtubT3t9HAccj3Z49xvv8pkf/GgrfIgzudkcW6ARgD++d4/xZEY4jwgmC453RxIYW1bMPneTcxsreF2P7be3GKwP6dSJFU0id14UmHWiR+MXq2uChT9pY3jKcaa1bMxlJEAzYz6aixezbWHqGh1sLEPSHqI0lRPKwYRwLjaZlmM9TlhRNBSlEN+KsqC71JXIId9qm+jz8YL5aE4wCyTluIkWkkX6QObYFCY6eh2NpNdN44K0KFjqdNrUm6Kq2JtMeHRnhyzJ8Id+u1/EYYLpWG24Q1lVmKaBb9tsP9onz4Q1omuPecXN+nX6fh1w+z3AfKuq+m8URfmbVdVmnPxg1XggvM+YjxdUFTXNI2PacRj4nTa/rNkwFUVhHIgfQJLlLcG86wpgnQSxpPbWrkGmbbRYjW2I0m0SBAw7HbF0zDK0Wqb5aDxm7+4u4eLUker/AfBpqkokcYry15GO61M3329+8VvsvLfDF374M+RFgaYqGJpGWFtJbt/Z4eDhAXmac/fVu9iezY3PvITbdanKio/98Mf4hP6JtjFz99W7jCf7rKxexLY9TMOSp05VsnX3LoONoXAl04zFeMFsNGU03iUMp6e+ac+6lqKKUlutfFVWhFMx1mnSYQ3LoCpLtt7eIpqHaIbON37vD9jaegvH8VlePk84C7n9wib91T6//j/9n2xcvMjn/sXPEcwC/ulX32CwPsDvd9rqz9T1FjPXVRVD15hNT22Mv1//+pvAD52kcjNNm6LI2L53l1e//jbDH/TqLEGJNkqynMP5nP3plC/+6ld479V3Wm+CnZ33ePjwTdI0pvvLS1y//kkuvvgCSxtLTA4mlGVJ3+/Qd13BUcuS+Xze4qySZycb8CyOzhSvc+a1tAwJl8xFxq7pKooCse+2gQdN8bK7dySugoqCP/SZj+aYhk7HtimLggqJhK+oCMMpO+/toCgK5148RxUkqLrK9HDC4fYRs8Mp47EIox6f3E7HSz/rHPNUThembVIUBVqpSt+nTrBYJHUKh6ry2u073H/jPpqusXxuiSzOMGyjbUqWZcnBbMbF5WX6rsve4YjjvRFGrdQd742YHU7prfYxTL1tOMdhjGFYJ0Kep224fQmonrzB6+PT+0r8qrIkSwTrq8oKFIXEsXHrz8+1zNYoO0HMiKtawaYoCtMwZLw3au0mG8PnshD2gKZKaOU4CAjTlH79xNFVlVmek+Q5x4s5i6lwZU85tHbjBaiqIxTlmUzpcCa5Vh3b5mg+E6VbjSHFqUSvxIuINMnIsphzm+ckortuApi2iaJKVasbGtc+dg3H/7PMjmbEYdRyIRssvBmNK1iSRoTBTOTV9ulgh7OuZRNCKDSy2nUul3gjVZcjZVmUUFVS/fgOeV5QVVdqg5GYYDHhcOuQ3rIo3z7+Q5/GH/pcvrzJwXjCnW+8J7h2/X81m69ZN6gag/Hi9JjvS4j89AvAl+pq6UtVVf2P7/di03QAhyicsfPeI/Y+8gJrvV5r6n8ULzheLDicTNl6e5u33/4qWZZw7tx1LMthMFijqio6nQFZKim+F29dZLg+xDT0GmoTBz5D0yh0vaWgARSlVMVVdZaC8Oxr2fCkZQ0LqqoiWggLSdM1Al3YG03hk2cFri9c2fi7rFkVRcNxOui6ThQF5FnK7HjG6sVVsZLMFJIopXoiabytms8ArZz5elUln05+r7a/L8uKME7YHo1b6OFw6xBNU1m9uIrt2Wy/s004lSb62uV1yqmYyCd5zmIe1E53KcZyF7froKgiPVZUVQqqShqas6MZVNWJ0MNpYYeff+L3BoK/PLWaaPCPso5GT6OU6US6uqIMqmkZutHmJql1XEtRlkzCUCTFZVn7QkgTI0sz4byuCSF/fzolzXOWOrLxFLXIYRQEhEkiH8Lpx6tIgsUv1n/+N5Dm21OH6zsM1vrEaUpV0RoyJ3nWUus0Q6dYxPSXl+gMRJLakMCbWCBVU9EMHa/rcenWRWZHM6ZHM6aHU4L54jFtLs3RnIbWk5LEQZtwcYbx80/8/lRr+V1/ASA3Vc3/LPICTdcYrAkPN4kSEYYUJXEckiYx/bU+q5fXuHz9Ah/9qMiGh57H0PN4+O2HJIEQ803bhHrDav7vvHaOO0N1/w7wjqIofwD8CPBXgE8B77v5Np9vGAfs3Nlld/eQT169Kk3OPGMeR+yPJ4x2RiwWE/I8pd9f5eLlG1RVxa2Pf4L+Sp/OoIPt2XSXuqyfW6kplLQJLWm9ATep1s2RtXHpM+rr/wzj55/4/YlrGQdxy7lVaignS1ISQ0Orv5dVYjZTNGnZeYGWFXhdjyiMicJYjvO6ZPs19Mm8yAgmC7IkpSwlf7AsSvK8IEmS2imsfojWzb0PYo5qLWQqi6LlJmfp49ZNYMrPEtbFUW+l1zb2h+uDljoZzgIWk4DZ0azm1Mv7LddqI5Q6gw53vnUHw9QxbUOa0KpKMJPT/ONi/f3HaWGH7yY6/2NFUb4K/Gfv9/pwHuHSAPwNNUrcsGJHOvNFWbYUtGbMo4i7e/u8/pXXKYqCm5+9WdNXFIKpEJjLQj64tI4YAtifTuk6cmxK8pxpGBIkCXdfu3OikuaJ8ZeRhf6fEcz3d4B/+1lvuPX5WxiWyZ2DA5Z9H7Wu2htKynBzSBzGHDw84MqHLgPCtdQMHbfnkadZnWWXoOnC8U3jBN0UNZVhG5iJSVp31A+3Dlm7vFYHVxakWUKep/R6K/jd0zUWz7qW8SLCqG0EmxBLy7XaRgYIF7Lh+qqqgtfr4PU6rF1eE5pZXTmtnBN64FqvJ5i/rrPR73PjEy+yfWeHosYiVVUlUyQ5uKjx7bQ2yz/NUBTlfwe+D7iNGCb9ZFVVt5/2+iLPMEwby7TZ33nAgzcfcu/61TbPbX86Yz6a4/U9fvrf+Vny7KdF72/bJHnO0PNI8pxZFLXXdFM163UEzaPxmCCKKbIc1xMGhGXo6KrWMn2yIj8DOefsa/kT/9Kf4Su//gekUUqn70lhUIdiZnU6dFVVzEczls4tUeYFW7e3eO8bd7j8ocuSYj0LOdw6ZDTaJYrmRNGC4WAdvzskSSKiRYzbdSly8WWJZiFJLDBVnudUZYFW49sfxByb9O88U+UhomnkeUqWaKRxiqoqBMCDNx/idBzhoqciCrE9G7froWqqZE/Wvr5ez5NUYlOKxUYs0+u43Pj0DSYHE9JY5NdVWRLNxVa0edg8bZwWdrj45B+Bl4Gn3u3iVCbUlKrmAiqailKrY6amgO5aTTTX6+NmUZYcbR+1zmYgR02n42DaRps9FaWpBODVCaOTMKSoanVZLs26rMgZj/cIT4jyeGL893yXK9ZJ44XL59mbCn3MNgx6rkOQJGRFjlrjoyCVVZ4VUuHWm9a91+6xd3+PyeGYPE+xba8ONEzq90gMT1UBikIcLzAji2getQ0N07BwnA6O3TmR0N2Ms65lHIcYNY85TzOKvEQz5IHaaN0VTaVIspbak6V5TdfptvBKWVYSQ28YbTxQ44U87HSY9D2CqVwXDRe8KB/foK7n4F47deLtrwB/qZ6fVlXVM80EGqaNZblQP+jnUUScpli1RahuaHQHfo0DC22pTVg2jRYaaSCTsi4uNEWhqKv4Mi9YTAKpnEydzDYZ1DzbrMhbzvBpx1nXsue67bVTVRVVWaHVJliqKj9fUcMES11fXne9wu16FFnO8e6I3Tu7jI53yPIUx/HRdROv08fxOu0mlsZpGzmU5wVlVXxHjpsUZKer8M86x2ZTb05JZSlpyoLhyil7vD8hWkR0l7ptwVCWYjykmwZGHYEl+ZMKa8tDfNsmrbnZAHGSMg9jltaHqKqKW/tmVFVFMJPeRHECZ/u0sEPz9KnqX0fAv/u0Fxt1LJBhmai6ShqlZLHcnM33m6ZZ0+Eu66fuYryolVsRBw8PSOMU27VbjwDTEh7vLI5ZxDH702lL9ahqkUUzptPDEz+AJ8YrKEqHqjp1VweoY7+VGsMTTmrDmczTnLIo5ftZTlUJhDLaG/N7v/1/EQRTMZhWFHTdrOljUoFomoFpWCyvnMeyXIoip9sdkiUpTsfGH3TJ85S8yFA1nSw7tZLvTGvZ3KTNCaaqJPgTU0evvWjTKG3TapsOc6fvSZBqnchs2iZplDIKAtkEajl2VnM+3a4nwYymXiuSxP0rL0tKZONY759aXvwqwvG9BiiKojwA/nwNR/yJ0Vwjhmm1Hr5hmkq+Vy2ptTybla6Poek4hkFWCnPBNozWLrMZqqqSVVXr9REkicAKNcZfliVlo6BqCP+K2lbLZxhnWsvVbhd/2GU+mlEWFapW1cqvx3BOVYo9a1Xj1B3fw7DMmrWT4HRsBsONNn1YVVU0TW/veUVRKLKCLJHgzIYLXNXNuaLIUcozwQ5nu17LkqqUk0Se5XWKsWzGhmVgOhZZktFf7aObOmVRkCaiS0BVZH2eONE13Og0z9tiIYolhVxRFYZDSWpxLJMoScmzomUeVf+sCjdFUV4CPl/L+/4T5Dj3dR5rr//E0Oo8NlUVXEnTtdqZTJ4ylmuhm1mL94pnq9L8f6j16x98+wH333qXLE/5yOc/SXe5B6wSLIlZ+SyKODgec35tGbt4fJQpKqm2Z7Pjszjml8BDFOU28BireAqwD3Lj+I5D4MjLi1IsAYu8QDc0NKOONLEMVF2jyAr2H+zz+jf+kP39+3Q6A2zbI0lC0jQmyxKKIm8t91RVY74Y4/tDOp0+RXGRIi8xLInqjsMOSRKSZemporifZy1f+b6P8OCNB7VcsoIsx+u64lzmSmpAEqdtp1eJU7yuR15XPvEiwnIs1q9uoGoqWZG34hvp/het4MCoAw6Fg6lQVGUbOBlnGfPo1BDS3wb+q6qq/o963j8L/B2eEjOU5wlZnmI7HVRFooCqqiJMxIlM1zUG3U7rJ62qKmQZvm0LJJYkEmmlaRj1vLT6Z47SlFkoXhzih6CJFWEdzV5VYkxf1pt1dspi4XnW0ncc/KHPaG8kAZ5PPAQaRotWgaqrLd+6GU7XYePaBk7XobcqjnrRPCSYhkJDRE68eZZL0kkNFyqK2nocFEVOkWdUVHWT83s/R6U+TTeevbmmouuyB+mmQF1N+kSeSXGUxSmaJqkViZ6031NV6cVMQvG0TpKU8e6Y177yqnCA1we88v2vsNT1sQ2DMBaHw+n0qH3YPGuc5Gr27wH/IZArivJl4Abik/pDyMX8c+/3vjRKBYR2zPbDaOwUFU1CLRVFTJ3zutFg6DqaovDhz97i0iuXyNOc40dHrFxYIQ5itt7eYufObhtYt3LrRT584QL65Us8PDqmqiqJ8olj8kI6mbJhnFpN8x+f9oXNaKru40dHLDwb5eIai8mCqigxHUsqfUVhsNqnzAtUXWVpc4nenRWiaEFVVSwNN1hdvcz+/j0Jyqxb3k02W1HDJ6urF7n58mdQVYUkStrkj6qqSOKA4oSn7POu5a3P3mTv7h6LcR13X8J8IocD13dxOjZ5nhNOQ/a2dphOD5lOD4miOVmW1o1UA787bDPg1tevcP3jN7n1+Vtcu7jJ8Uz+bcu1WoObsqram1/XNN746lv4Q5/vu379NEuz3Gy8AFVV/YqiKP/p0168WExRFI3N89fwul6rIASYTOb4XTGF8m2H3/ydP+T2H7/D5GCCqqqMjw44PNpG1w0uXnyJ3mqf7lKX8y+ew+156IZGluYtbQtgdWMZTVWoKqF2qYpCfja44bnWsuc4/MDHX+Hea3eFoQL1kVsaU83PV2QFo/GsLWZUVcGwTAqtgLLi/IvnCOcR4/0xD998QBzmlIsKwzI4fHjA0rlllNpW1rRNksQkTWM0TUdVtdMWCs81xzIvyOvcSFV7DP0VeUESxKxf69F/yeXuwx1e+/Kr7N3fF8/htSEb1zbrgsJoN2DTMdm4soHvWuR5weRwwnBjiZufu4nf9eh7Xhu4OR/N2X5nm93duxKVdMKanlT5/lvATURRchdYr6pqoSjK3wK++dR/tPZjaBgApm1KvHsl1oOmbYoxiyLfb/CyrCgwNI2O65BbBc6N87g9j3Aa4NWk/fWrG7xw9Tx9T6J1bMPENg3SvCDLy9YbdTFeYFmnxgihqr7C+8SVPGs8urtLd7nL7T9+h40r6/RX+3IB1/HqjczadCzSKBFv0ZU+X/iZH0Wvq571cxe4/qkb7D/YZ7w3rjnAJXsPd3jzzT9gd+c9TMvBNB2hemlCyVI1ieGO44A4CU7Mi+I517Lb7eAPfY73DloSuaI4JFHSCi/MuoM+nR7y8OFbzOfHFEWOadqoqoaiqExnRyiKSlnm3Lv3Grdvf40H3/5T/Mi/+iP1SUinKspWRaUogqupqjygl84tncXPN1EU5eNVbZ6uKMongGdmuhRFhu3aDDeGdJe7LRwWKQqLeUjXcXhvf59v/ONvsP3gDqPRHkEwIU2Fm6vpBr3eMnbHYZJP2Lu7h7/k43XdFn7TNA2v5xLGCaahtzdn89hshEanGM+1lmUlSSJtr0t5bLBDAxekWUsPk9QLDa2GQ6qqQq0j4kH8GhoqV5bF5HlGWdpkcYphm5i1DaeiKN/BeS2L/ETHr+eeY7PZ1s02FKXFsXNFaZ3k+sMu/bUBVk1j1TQN0xGLTduzMR2z7rlUTI+mjHLJ6puP5nz2xz/disNswyDJhN4aTBY8eOtuff1nnHSIOWnzzaqqCoBAUZQ7VY2HVlVVKIry1KvEtCXArizKOk3UaDOOqkqqX/l3pNkRZ2m7Nkotb1QUBb2qGK4PWFof0nPdVo684vstCVpwNxNIyYq8lXE+fPMBluWenoalKL8A/ASnjCsBGO+NZGF2jvG6rphxVJU8ePSqVYbl2eMuduME9qP/8k+SxilKDb0sby5x7sVzuL7Mc+XBCusXN7nz1lvYtodluWRpjuOr+INO27jJ85Q0iSlOrvCfay17jkNvpUdRFJRlga4b5HlGlmpPeE2IdeTm5lV03WBv7x7j0R6mJRaZWZbWx08VKo15MCZN75JlMaZt8skf/yR+v4Oqa/RcOcontS1hw0ntDDptz+AU468Bv6ooygh5kA6BP/+0F5uGRZ5LjLs/6LB+eZ1Bp8N4IRHp0SLiYCJCgoPdR1RVRbe7RFWVOI5Pp9NnMFjn8z/5g6xeXCVPM+GQGroUDarCO197p+6oXyBL/uSDMlaV79j4ThjPtZZlJUYxmqEJZ7ouEASTFcqgpPRW7WdvuWIJqqsquam3zVMUBV2X4EhV1YiiBWUpCRdJJAGTTVqypuqy0aNQVQV5kaPpJ8KBzzXHhr/cfIWmuhfILEpThp0OV1ZWGL98SUIyNZU8ydi7v9+mpchJRahrSxtDuktdNq9tUF5ep+e6dGy7NvJKSfOCSSje2/fvv0GWCcR6UoV/0ub75JVw6ivfdKTD3VDMsic8XxtfT0VRBCdJUhZJTFlUGLV2v7HbK6pSIlcchxfX14nTtI5iUXBMsXUbh2HtFmVSVtIAe/eth7z92rekiXV63uSfAa5xyrgSgOPdkVCHeh6z4xnHj44lNDEW+7wmurpJrmikjhI34otT0mQhihhL0iD27u9Jp7jemDcvXGlDRlVVxR/6mLbF0aMHPNq6w3i8j2k6pCc33J5rLS3DYLDaJ8vi1iEuTWMMwyCchsSLSNbOMjh/4zwXX76E5fxwfVNKRaVqKp2eNOC8ruSdZUkmR9Io4fWvvIbb89h8YROv56EokvaRxRlplVLmRUt3e9ZQFGUT8V9+GaEK/jIwAW5Xz1hXr9NnPN5n9+EDljaG3Pj0S1xeXibNhGCvaWqdS/eIL/y5f45rH7nWcnS7jvPYA+LBI9I4A0XB63fETnIR013u8tl/4bOS0Rcm7D84aCtC4YILJtkEz55iPNdagnifbFzd4P4b91Frl7I0EnZCZ+C3UerhLEAzdAmgHC8Y741AkX7N8c4x4TQgmIUsxguSRMydiiInSUIWExPHd2tPkJQonrcbUZbFZFlMpzP4QOao1rTHsigI5yGGaWCYBlmNS+/sHaEoCmu9Hi9cPc84qD1EfAnglT6N2HtmhZjtXKutRGeRNPg1VcGsPWSiNOVoKpz83/z7v8L9+6+3qTKa9uzt9aTN90VFUb74Pr9XgBee+gGoj2keVSUXVZ7mLRe0ccGyaveoLBVid167dzVPY99zW/OKrFau5UVRK4IKadbkOZWmiblO3Y3cubPTPonPIEA4U1wJiDtUluYsxgs0TeV455jh+qD2103luKlp6IbWUnweNwPkRkyTjOOdEUkkdptJmIgjXMuRjEmzGNOw0QwP3RA6mkQIjYiiBZqmk2UnJvs+11r+3u99gy/+g98iz3N0HcpS/q841jBjq6WVGaYBVUUwDQmncuNuviAYmmlJdI3bdfFtm6Xa/yLJMhZJzMOVByRR7fVaSpuiwX6rqkJRH1OjThi/BLwO/G/AnwP+YnUK+mCvt8xsdsRotMfDt7ZYvbRGdesmtmlQLip822ZimZLOcnUDyzAwa5ZAkCTMA/Ge3rmzS5HlzMcLgmnAYLXPyoUVLMcinIVi4l2W5PWJqCxEOl9Vkm7SQgAnj+daS70WMl28do6Hbz0kTbLHRumZeD401+hsNG8tUI8eHfLGG7+Hoqh0u0u1l8iMNI0wDItudxnXFdpZQ6lr1ivP8+9wMZM+gI5hmB/MHE2hzhV5vXc/UdmDpEePFwFWDW85hkGqqiSZiMGKRdFCEM14b3cfyzTISzEZ6tdBCUnt/RHNQ4q84NHOu/UJSqP6HiRZ/OQJ33/qyNOsNUKXrwqqqYs1nW1i1G5nSf06oLabE2myqmlovkS0eJZFmKZitqPrpHmOa5qoito2ZrKiICvkWHG0fdQ22k4E978rroTviivhKXElIAbLRV4I3pWpHD864vIrl9F0lTgs0Ssxm87r4L0G59VNnTwviMNYuuCail5fDEltRh7NQqIoYD4fid/r0MVyTMqyJFrEHB8/Yjo9IklCDMM8jZjkudbyN/6XX2U6PWQwWK8ZGVLhaOrjbjFGbVRdVuiGRhIlBLMZWZLRW+7hdGzWrsgR1DYM4jQVHjQVhqbTXe4xPZgIj7hxMms240poamVRnuZBeq6qqh8FUBTlt4BvnWaOm5cuMx7vk2UJ0+khBw/2OVos0GpLQF3TcLoOqxdXJX37aEJZiIhg584u06Mp8TziaOeQvMjQNYOV86t1tS7YKIg7nFhxKoTz6HHTSxO6ouXZQnk6eTzXWqo1v/fFtTXeu7zG3v3979jsi6wgqcUslmMxWBugKAqrF1eZTo94+PDbHOzfZ33jGqurl9A0TaLjaUxl5POyXAun40iwbRjVRZBEGOV5iuv26HaHH8gcdUMnR8Q6IiCRTVTVNKmGZyGmbTCzrRbXB1ljVVeFIpdJ8dSc2vIsJ6nXpTnBl5U41R2PpiRRyu5dEZ2IrPhx4fDMn/VZ33wfdcmZhvoE7UOrJbRGTUFzLRNL15keTqlqBzNFE05wWRTYHad29hcns0U8qw2RPbKiYHs0aulKcZbh1ukHD779gId3hc5Zng5y+HL99cxznY5G7f+hqirjgwnTw4lALnVF0VsRHmCjCosXUUvD0jQV1xfDlSSs1YBl1V4ARVFi2x26/SGu72LX/riL8Zy7d18jCCZYlksQTMnzZxfsz7uWX//6/8uNG5/hhZdf5vU//iNAvBCCmsvYpDAD5HnRVhyKohDOQoLJAlXX2H73kUR3+y43PnVDpLiWBGSuXVprUzriRUSRiyxdUdXaplChzIrTVL7th1BVVaYoyqlOMZdfuczkcMydO98kTWNGe2O++PtfZ+XCisi404wyL8W32TJab+b9+/ts3d4iChbC4rh0ju5yl95yT0zHk6wVzfTX+mi6RlmU+IMOpmMSTkOCWSCbr66d2vfgeddSUZTWO/vjn7rF/c0l9u7ukmcFuqkLVGZIXJXt2WiaSp6LY9mtz/9V9h/sE80ioaKlOeO9EUt3NohDefAbhghuuis9irxg7/4us/lju5QmLPfa9Zf59D//7Hza551jQymjrrzTOCVPM/RaALEYz8XVLc3xhz5938M1TfEPr5uEeVa0yTBVVQl0YRlojfcFsvFGadoaYn3xH/1D0iRC1Wr6YFmcKCQ5dczDWUb+RGOkOUqWigDe8Fh90sTJlGXVNuGCaYBhGSRBzNd+71VGeyOCqeS5rZxfwTANJodSJQ03lrj8ocu8sLlRm7RX7N7dJY4DVFWnLNM2Z+qpo4krURQf+Feoqr+FopxDuq3/5bPe2ih1dN1AVXU0TWVyMJUYFl0lS2SepmPhddyW16zVzkuqJiY1mqa2zmBUFdFCwbASlEWMZbmSjOw7FFnB9HDK6OCQxWJMWbvln4Lp8NyjyDOm0wOWzy/TeXvAaLSDqsrRLs2EbG7aJrohWVhRHrWKH0VRSGIxV8nTXEj4qlLHyWSkmmwEpmPi+g5p3expDHTEqlJrN92zWVjIW07zItM2cDseRZGzWEw43jvgna/d5nDrEMu1OPfiOaJFRJZkIu0uSpyO83hzDvv4Q5+rH76CYQk2nWe1z21ZoZtGqwRsTnm6Llz4Tq+Dqiktmf+UBcNzjarmEku6Si3/XcRtfFVV0WL1uqGhahrhXOJ1mrissjZVapgPURCSJCGu20WrRRbRLBLIIpy2FLOmCaWpGtc/dYOlzVNHQp1pNGkbeZqjqCpxEJMmsvkapkESCryXRqkEepoGhqYLJPP/sfem0Zal513f793zPvO58701V3er1d3ucwY6kQAAIABJREFUQW5JaLJlS7Zs2SyiBLADGIckhJh8gQSHDIsF5gNZYDOsFX8IEAw4ISQ2gUVYAoyMsGTLsiTbkiX3PFZV13DHM589vnvvfHjevata6qq61fRdWnjVs1atuvfWObf2e/a7n/cZ/s//b7TX5LVOw+Tney6u4wjxvW0TuB6OJVn3crLk1a+/wvXrrwqfQ5GjlHWscufJON9MxomrqmpIcaqqorItLEdumkJkSupNGbQDkmXC7uu7RLOI1597iW/87ueZz4/MDXQZDDYoy4I8T3n66U+wvnWKzrDDQ6d2Gse2d2mvKTXYtn0vQxb/F1IvBJgj/A7/J/AHb/cGx6Qttu3iOE4jP+J4Do5rU+jSkJkI81lVVdBukfm62SCii7bE892mySb1P0lxWr1WMy02PZiye/UKe3uXSdPIUCFqiqIQCruTMKWYTPbxfJeNrdOMx3umpONQluJgWt0Q5Tl0hkJwpHMtB4lShCYqLotSZMv7LcMLIT/LtSbwPap2KY7Z6NE5Rhusqf3ePeoF0Wx77ZbvT5nvFVBVVXXxrd6ULFM5CAtNmiw5OrxGURS88fJl+qvS6dZZTrJMG6LwyoxLr26v0N8YcOqBHTZ6vUapZX8yfZPKdFlW2LZkSK7v4XgVbuCSLJOGBvEeWNvelllGseKVvT3+zf/9Wb78K5/lAx/7PmkSm56MZerrOi9wzV4sdMELX3mxoRDVmSZPMmajOYeHV+l0BgStoAkm0jiVunaeNZJB9X3sdIdceOICnnsirqehNPBDX8qXlnA36LxmEnQN62JOsohxXAffjLy3Amni16ROlq0a7g3bujmFGLguuihI8oxrL1/lpZd+k+VycovDrbO/d0bJ4p5M6wLPzEcXtkx2WciYaN1M02WJZ99sROlMM7ox4pkvfY3Dw2u8/vo3mM0OKcuCwWCTfn8NgN3d11ld3WG4KlLsjuvg1rRxVcVkdCiUdkqh1D0t7xxV9QcAEM2vv4BSd6wZ1o7dC6Sp5AWeob4sSE2UHy8S/NBvoDuObVFWZuLHvKYex6xn/qvKJ+y1cExH3HYd0ihldjTh6Ogak/GuGUl2m83teSfjfC3LJorm6Lxg68Imezc2mM9HgCZNC2aHM0Fx2BadYbdJ+aSJqnHrerd52LzAww8FyO6ZSMlzHMpQlDlqDox6VLWZ1bdUI2p4BzvWBMY3W2KGfpRSpGnEdCZ0gArFYjFl5esrDDb6FKb0EHZDdJqTJRkXn7zI+e1NumFIkuckeYZjW/Ta0u3PE5GYV7YlGUAuh2VNw9nAompFi3tTsri3deY5u5MJP/eX/yG//uv/lMV8zLse+U4GGwNhIdMFKvBkHN4gL5SC7rDD9VeuM7oxkqgxi6XcZwhzwlB4WLI4E4hpWZIlKdqMzgvWW9HpDHjk6SdZ7YnI7ElYb7XH9GDWMJXZrjjaPM0bygN51rRANXPdzAZ0g4AoS0lzjecIDruesHTMGhpsdlWR5pqXvvYC16+/cgtfxc2o9x0R0LxXi6ZLbNtuwvayLLFqbTPzANVY3qIoSSNRxh2sD/jD/+0fJY2km9/qteiudJtTbHo4YzGes3l+izM7G8yThCTNhNPXdbk6GnF4eLWpm5VFQXW87jFAhVKPU1US/cpo4x0Zn4NWiOM5QvwTeoZazpdmoS+TTcvJgngRowxRR2HqTclS5MjzTHPjtRs4ntTakmXa6KDVaW4apWRJxjPP/hqz2SFxLBNmSbJsOtDnzn3H27pXd/1QqgqtM5794jM8+dEned/HPsTnP/2vWS5nOI7DKy/9Duvjs+ycP0271274X6uqauBGDWY09Al9j0GrJTSKBkoY5znzKDbQRDOEY3Tj6kEAlLrrrHxVVZffzhrnozmO57K5eZ7R6AZaZ7hugO+HWJbN87/9dcKwx/rpDfyWLyWYYYfeWo+L6xt4jsMsjrm0t080jRre2ppUyHFs8lyTxBlZklEWZvRV6wbm1XDdcnJlh3M7F5jNhIfccTzKquTcY+d4/8e+k2d+8/lmGMEP/aZWWmg5EP2W37DTeZ6IHYSBRRC0sSxhDFNKUozlfMZ8LkicdrtPUWieeN8H+e4f+W7Obaw33AknYWcunqK/MeDyM5dpD9rNwVpVFdE8Ym1nFUyJKzcHaBQn2JZFJwia6NY2yJB67wZGZ6+mEBgtFly/tMtXvvJp0mSJMsNERaGPzVtxIs5XFib4zNRIjreslkgBGeery0LmpaO0KW5nSUpvtScPca+FNjR3i7Goym6f22Tw6MUmhfcdh8iTemeSZexf3idJljiO23zgFsfWivpJ4JdR6ipSK9zgNgqptXmhOImwEzZYTdu1G1Jw1xNweZ7m7F/eE/VdpciSjPlozvRgis40+1f2DclHSZYIH0I8jxuZnizJODi40jhewdnWkW5Jq9Wn31+/p3t0XKtRI88++wW2L+ywsr3CxsZ5rr7xAlE8w7JsDg+v4nkB62fWKYqCNLlZgw67raZ+Ztk3D0LHtnGQaOJgPieN0wbPHHZEeicrzCAAvK2C73GtJmDpdIaCU52PEXlzG9f10XlGFE0Z3XB44KkHyBPZr/2wRUXFLI6ZRFGDVNGmJiqkUOK0slSgTEmU4DhOg+qoIWZ1RniS6xyPd5sR3/r/CdoB771wgbbv82uf/c2mH9Putym0NA3LsmyaiOJkhSgqM86rxgYrJaPvNd+IbTuUZYFl2XzfH/84Gz3DIgYn5oAdy+LM+hoH/QOiaYQbSDnPNtDAPNMNoiRLUqrxTQija0szrSirpowJwidd2jYlwmB3MJszXUZEs0hQRkq9qblWO+y7Xus7v3yIphG+mYRJo5R4ETfz0vXFZbow2lwWlknLda6Z7E+p5/y7K11c14GusFq5tk03CBrScs915QEF9mczXv7qy4Y8ORVAuBdi3YVTEwClfj+i8XUWmY76JPArwJfu9LZWt3WL0oZqojRtygmdfqepde1fOTCkOC7JIma0O2Y5WQiIfTbFtt03Ae1rrPTe9cuMJ3uMx3skyZI8TynLAtt2GgfhuT6t1rEFNO/J6nTq2rWXee6rX+Xpj36Yte01omgbvZ8zn4/QOsexHTZ3twhaMW7g4hhiFcu2JZ2ts6BCGj4tz8MzTYzJaCZQM10w3BiwMuyR6YLRLU5cpq5OZIkUeYFSNPSccbxo0COue5NvIo7nUj/UmngWM/FEjWWZpsTLhMVkSTyPyEw90fU9wk6AF3g3a6VpRuG5zf2tp8nq2upJmkRmhfxd1U1Nocf8wIMP8NtfeVYGE3y5PteM2YadoEEB1MFUoYvmz02CHc10PCJJlpSlRIDb2xd4/KNPcG5tnVxrXMchyU6uQZxqzWq3y8OPXeTSa9eMnqRDluQNft4LhSI1zyQLrWGMjuNg2bJHrVCeZUsp8qJgniS0fBnkGk1mpElGq9ei1eoRRTPyLLkruuGb7WQi3yQjjaUTbptppqXhZ6haPpVZbGFqYQrpbIdWwGR/ynw0Z//KPmVZ0ul3CHsh0dYKQTvgcD5v2KR6YUjL80h1zhd+6ct84TP/Cl3kDWt+Ubp3r6Ep9ZPI6Ol/hsjP/BTigJ8Cfgb4s7d7a3+t10CEasrFWyEqeZbTW+sxO5wxP5qRZwJnAXj5688zneyT64zlcoqlLNYmp8nzzES4cxaLScNHXBTaSMTbeF7QIB0A1jfOsnb6ZCJfraWmnCRLvvCFf8r1ay/zwz/645yzH6LTGXL58jPMZyOuXnuZ7NdT+v11wrCDbTkMN1dZ3Vlt0lU/9BhsDOmudFGG4Uvrgte+/lozvZclGc//zitsXdxi9/U9Wv2WQIAC702R8ztpaZwStHyCto+/aOM4HuPxnnA22C5B0KbQObnOuPzcZS58xwVxQEVB0glJlgnLyaLhiY1mEcvpkrIojJqvw+qpVWyTxgqr2U1dvGYoobo5oHQSVu9TrTMcx0PrnKAjE3qu7fCD3/dB/uUvfYHRjSN6Zm+7ngOe9Bwsp2h4D+ry2eHVQ5lWNBj02eywCRJ+6I/8p3zXD/4+CZwsC9fAQbVtn1jk+5l/9G/55I9/gndvb/PIqVPM45gvff35ZpJ0OZUDsoYxFrpkMVkwPRS/45op1LAnunaO55AsYnKD2tKZlp9FCZ7vsr5+phG5LZOyabJpfXeNuhNxvo7nNNMttiuRTxZnuL5LG8l40izHcWzjiKFyBKQdtAOSKBGeBGByMGG0O+K1r7/G6vYKXiA1t61T6w0JyTSKefaL32A02qXTGVCL8zWp3J3tjwMfpKoilPqrwL+gqv6e8Wy3VbyVdd6EB5WGt+JWPgKqSpQcQo8kSonmMd2VrijB+i16/XWyLCFJlmRZwuHBVeaL8ZvGNeX3FxRFjuPIiV3LsJRliW05bG6ffRMT1ztpN9n45bO8fOW5hm6v1W3TavXlM15MmE72SeIFQdgRh1VKVNHqtUijFNd3yYzsvGVZOJ7wACwnC9N47RHNpfZ7dO2IL/yLz9HtDuiv9/mO73q8wRO/05bF6c3xd9sxqgsZaZagdYrjiZpxWYnzCXshlJXU8pXwGadxSqE10UymwpIoodRlEzXbjtVwHdeyS7YjGmO3DpM4rRNCrUBDclRTlkIliCBLorzTwyGnHz7NC196AW0UReqmcGkcj0heyZ6IF7GB2qWNPHyaxpRFwcbGWT74ifcxaLcbWJYuS+G/VurEnO/Xv/xFHvvwY7x7e5vQoBjWt1dFtt7A/GpUESb4q0t+s6MZlYGaZWlOPItwPJdoHkl2ZIHre3LQ6BKrZUvNW5nylM4pC40ucvN53znwU/cwfvt705T6HarqKfP1lxFFixr7+zxV9ci38eru2327b79H7WTCpf+wTKPUAOgA7wE+A4BS57h1zPi+3bf7dt/eQTs5UOF/OPZXEQ6ALwF/j6q6gSgffBb46W/rld23+3bffs/a/bIDgFARrlFV3zDf/xAQUVWf+3Ze1n27b/ft967dd7737b7dt/v2bbD7ZYf7dt/u2337Nth953vf7tt9u2/fBrvvfO/bfbtv9+3bYPed7327b/ftvn0b7L7zvW/37b7dt2+Dncx4seNWVVXh+y1arS7b2w/y/o98nDOPnOW93/Uk33n+vAheGj6EW9mEXDP/ro0svDY0groQyr2277Pa6dD2hYynKEsspYjznGujEX/pz/4tPv/5XySO582c9Xw+OpGB+Y997MeqnTPnGG6tYBk1ipoCszNoC6NXcFOlFoTIJM80YeA3xB29MAREYyvVmkxrLPN633Ubrakkz0l1zmwZs3tpl2QRE3RCZocz0jjlr/5PP/GOr9Nx3ArggQfew4c++sN87Mc+xj/5mV/g0Q8+xg986qOcWV0VtiitWet2cWwhn3aMXE1RluSGeFoXJanOGS2WJHlOlGUkecbl164Tz2PyLGe6P2E+WTA7nDE7mjCbH6F1xnI54fDgKm9cffEdX+NP/4NfrJRSQhO52hNy96oynAc2nuPQ9n3avk+/FeLaDr4jGoQ1ZWpWCC1kqkVU8crhEXEuPCNlVTE9nDZEUwdXD7AsRdAOOLox4ou/9MscHF6FqsL1Ap5//jdOZL/+z3/t71bxIqYz6HDusXM89uB5Ht7aehNPbWb23zJNybQ2HMU5o+WCNJcxaNdxmvvbb7UaukVdFOzPZowXS7Ik49IzlxjdGLF/ZZ/lfIbvt5pnJGgH/Oxf+3Pv+Dr/m5/86cpxHC499zqtTlvoINsBlmPhBx5BJyRoBwTtgFMPncJx5R5iKSwjS1bLBXlmnfUzmZv1V0WJazhaxntjLEtGrtMohaoiS/OGs+PP/fgfuu0aT8T5FoacuCZbXizGvO+T7+dD73mMbuBzdTRqlIhrJdh6I9f0ernWxLnMSNdcp3mhuXokC2v7Pr4rD0Xo+TiWRS8M+Ss/+5N8+rMf4h/+tf+V1147ln7i27a1jR0j+S7KHWVRikaXIY6pqorsQK63u9I1JEOqYVGybaGfdA1/Qj3zXpQlmIdhGkVkRu0WM4OvlGL7wjZaayZ7E/zQa+Rp3mkTkiKHD3zXJ3n6B56m1AUPvuddPPWxp+iFIhXk2aJE3Q0CnFtY5DKtKSuZ5+8GIanW5gAVdivLzPk7rtNwK2RJJkRE4xnzxZgsS7Asi+VyhrKOTQ96TzbcHAAislhVVSMZ7jo2jm3hOw6uLQRKCoXn2PRbLTzHIc6yJgjAsrCUhe+4BDXvR1WRF4bVrSpxA5egFRDNI8Z7E8JOyMbmeQ4O3qCsSvI8PZE1AnSGHfI056H3PsQT58+x0es1wU2qITfONtOaRZqI1FCei3J4rtFlQVlUDQ9zHVAsrJtfK6VoBT6twGfngZ2G2/n1zz0jhDVBh6tXclqt3omsUZTEbcK2MA66ntvQd5alEF95gWt4RjJ0JjJWVqWolCIMfDxDORmlGVoX2I7VSCyVRclsvMAzPBcglKS1MnutxFIWomJzJzvR8WLbduj11njqqY/zve97Es+xmcUJyzTFUorA8/DMw6qUwjEORxudqfo0LaoShPi/IZSZxTH5QhbcD0P6LZElty2LUw/ucP78Y1y69Lv3TPN2L1YVomflBi6FoT/srw8MycpN1jHbFWa3dJk0+nbtfgvLtkWhARrBzZo4p2bAsh35TCxHCIp0IVIvTsvHtWQT+aHwxZ7IGqsK23ZY2Roy3ByynCxYO7XKZq/fHJSObQthinkI66i9UaEw31tKYRtC6lxrShMV12sEKHRJVZYURgUBaA7xE8OkKyXRTOg0ZCiWrW5+fQtBimRkkpXZJiqqKlG+qNecF8JV7Rj2rrKq3qRKbDmWkSMSGtWgFeK4HnmenpwcFJAYIqBhr4NTO46ibA78Osq91dlK9in3Kc9kjzk4VJaoXCySpDlE6+i5fnaDtk9nINmEsKiJInBZlozHeyeyxjzJKWzdEPPXjHV5pnFL1yiHvNkxZnEm99u2sW2bvNDYyiI3BFK1bBTQ7HllKSzLBFJlibJts29v8jTfjQP1xJyvZVl0OkMeeeSDfOJPfALfcZhEEcs0FSluV6IDy5QGalVVAMfIAGF4Px0k6sBEwmlZisyLSXdHyyUVkiautNs8uLHJYx98nC9+8Z+jT1Jc0nzw0SyiLEpsx260sGzHptVrQa3O4At9XVEUUFbMxwuqoqQsq4YusSwqIyhaGvkVi7AT4Aae6MJ5LmiNziQyq0m780w3enK3NaVe506CkrfRN7Msi15vjeHWCkVRMB/N6a50m1JJfWjW9652vG/+1ZUpK5UUhkpUlwWFKS1Ztt2oXGutG3a4shSp8SiaNQfTSZhSirKiIXyvqpsy60UpkbBjrlEXRZOOA2Q6R6EoDC9vffjc+jmUVSX3z1BoWpaoFbuIiobru4Sh8DE7jnciawTRqvNCj7YvDr4oy6Y0pMuSVOumPCSOt5R7Vpbkt7CCqVCBoR7O4U1Rb6M/aNkNY1hn2KHTGTCfjwHw/RZFcedgQd1lv95Oj09rjWu5VEVJplOqSqSrlKVEnDXXjYhmbLh+lWXh+S6lquXtqyaQcB2bODHin7aNZauGTL4qxeGKc76p2q2UiMTWyiC3sxN0vjYf+MAf4Ed/8o/y4cfezfXJhMQ4wkGrjefYuLbTSHbUyqo1DaRtImNba7JCxPwqx0FnGUVVNidzoUs81yHTBbnWEvmurPAn/8v/hH/7z/4/rl598aSWCECe6eZGxfNIeIk7Ad6gI7Rztvx8djTDcW2R5HYdOkZ6yLKERtP3XDzHET0z8yDERuVX64LlZNloobm+pLTJMqEqK8a7o+bBuIN9D6Ly8heB14B/iBAH/THgwu3edPr0w7z3vT/IRz/+Pq4ejSjLiv7GQMjsTdZSUTUZSaQ1FRWuLRpYWSES2rYlEW9ZlrR9H1spIMFKlKHkLIkXMYWRiPe8kNnsyNAfWmRZfGLKvq1uC611Q/YOUCAHRlVVaCP0aZsHqzCH/zKV9dcls9REjlKbl7opiBKC67lyKJso2PNdCttmdjSjLEpWVnYYja7fi+DrPZvlWKIAbjtEaUZRCql9bg6U8XJJXki0G2UZeVHcFC41isa32q2ZiG0OpyxOpQTnSG1UKYUfeJx58CKTvQlRNKeqSoKgfbfL/R7exn5dzKZ4XoAfBlS6IOwE2I6Fa7tCHN9tGZ3FkmQR4632GgWZsCvUp010qxSZbeEFouiRRnI/RSDXaXTglFI4nifPY1FS6IIsyaVUeAc7EedbRyhPf/z9vP/dDxG4LtMoahZURxSKgtLUUUS6Q07Q0kRHdQRY/+zWvwtz4pRlSW5qU6nWzesDVzZxzYl7EpbnCVrbeJ7XnHJe6DWRajQXPS+qis3zW/gtEY5URkqoyAtwakHRAruUQ8iypM6oiwLbtvAB13dNxFs20XGW5sIzalsNifttrdY3U+oJquq/uOVf/gZK/fbt3mbbQgRe1zAdz2lKAPW91EWJY5VN/VAiwbKphdqmVlpHg5YymY6ypHljar5VWWFZ0vAoCt2UjGoe2uOIkrwdq8VLa9l0kDKPsqQspIuC3ET3nuOQ5HkjsGlblpEVh0xLNF9WVZPWZyYgkHVYlEphORYqt4ASZVnYji39A9e/a0T472O2LRzCeaGb8kht9X1qyiTmHmtKo6xiocwhU++/ek31866UwjLllbIsKYqbz6/ricBsUYRG6uvOrqfW41NKPVF9035Vd9ivSimJRk1WWZYVKDk4lBFmrcuAyTKht9qTckopJPco1ewDZVtQ3gwIS12gLNUINOhMG8Fb6d+4hnQ+S0Srj7tICZ2I861D7w9///vYGQ45WiyaNO1NdTLbJtO3bgAa0TpL0UgJWkpqbUmekeY5aS7yzrUES55mLMqSluc1m6iqKlZWtnnppd88iSXetEpUdwud47dCEz0JMXO712466P31Ppal0Hkh+lexaGG5gYuvCzBRRV6IpI02G9c2MiZKKbxAuvCB7xHFCckiZmKENo+jGWVModTHqKp/J9+pT3IH6kzZzKLU2m2FzDshvuc2pQZlmoRlJc6oeTirkry4SSZeNxBL46xrJyX/JCUWy5Z03HJs8jzFth3z5+YDfVImsvVCIK4shWu/uc5rFUXTk4CbtVIA/5b0vTAPavNZUOHXMum2rMEPRc2lLAq80EMpxfqZdc46Z5vo6iSsloRPc01hS13WsiyThdDcT6d2vLaFLkoScpQC25QIc9PPsG2bTiiyXtqUJ9IsF3XmskSneSOpVR+qfhgwn49wnGNH+Eop9bHK7Fd1l/1aB1tuKWohhS7wfBfblYxS55rOsENoFEjyTBtV6YI0zkQuCY1nskss1ew7Zeq4df2+yDXKsqjMIabzguUsIouzY+m4nYjzlZPA5dzaGrnWTKOI1MhquLbDIkkIDMt87ZTrsoPn2I1CeFFLwKMoyqKpxdmWRZJKCaM+4TAS0HKq2xRlyaPve4JvfONzJ7FEQB4kxxGRwKDdwvNdZkczCl3g+i4PPPUA3WFH5NJbPlUFys6xbIu2LRGDG7gMex1cW07Qlufhua6k8FlGbsouicqki+6KbtjCaIWNdkeSqh+/GfUngZ9HqW0E530JUfN4S9Na6spRlrHa6bBYTQg9r4libSXd/zq6q+u7ckukBFFvsroRUyMAUq1J87zpS1iWyKuXurhFQUPsHg6Xt2V1uqk8RWVKD29qIpWlNH4B33VQqAYqCeK4dCmlr9T80UWBrQQeqVAkeW7q+GHTKQ9aIom1srXC2UfOoE9Qx63+P+vnKjdOxa3hgXZ9QMpnXzvUwHWb57M0DValFL7j0DGaiqnOSbLcRLwFOtOkcUpZiFpEHT0G7cBIYh07wv+TwM+rY+7XspSMKctECScIWri+16iGRLOoUZMpy7KBmkkdtyCr6oAulxqvYxpnBpVTFiW2bZmmeontiNN1PJGojxdx02j7tqAdlFIEQZtuEHC0WPD6wUGzuXPTiYyyjEWS0AmCJm2Dmw2buv5b4yfnccwyTaXzmuW3pD+ViSLhyJkzHcaEnofvOPzwH/l+bry2exJLBMC2HCM7I9eymC5YO7VOd9gh7LbkZ5MlVbXAD32RoOmEVEXJ7GAKSM14z7GNwKhNb72P73s4to1r27R9n8BzWe92pa6cZUSZyN4MN4dEs4iXfuul4zejquprwBMotYpoA43u9PKy0Kxur3B2dRVdlpxbX+PywSErnY5ETZZFaRpk+pamQ+14M13geHYTPbgGlqZNtGBbVrNJw05A2GsxG83N77GwrZvvPamUfLQ7Jo1ShptDiryQssAtTaTVzk1xUs/AzgACy5KGoVI4tsV4mUlJohJlbbvVohcGdPyA1w8OKErpT/grPaJY6vWWcUxhL+TJBy40v/skbLw3JuwExFnWlI50Wco9cR0sy8e1LGwFludSmrKeZCtS2tNa4xpoaOi6DTqiqKR0WJoUHF9ktrJYymuLyZLDvT3Wt7bwvfDY97Iy+1WZ/VrdZb9Op4c4jodtu7iuj+2KUrTjOXihR2fQbmq8juMQLxJc36Uz7DYHhPRwbv5Oz2B6lW1h2xa262CberKyLfy2iLDqXNNb7ZFGKVeeu9JIod3OjuV8lVI/APwVYIgUwZX5IG7TIbfx/Rap1oyjiGUUo/MCy5bTte50F+ahqk9Sz7YpSrnRNZi7Mjc+K4qbGFLPlXSmrCj0TQiMWsSMl0v5vUFAPwx54KkHjrPEt2VlJdepdUGZlXieZ07UijROme5P8AKRDk+RWlA8j+S95U1o0mKyIE/loU2jVG6uOanrlAng1PY6oevi2vJ92AkZbgwodUGa3/mURalf4a26x/Uuq6qPvdXbcp3hBhLpjhcLDuZztNYUZdncN3FAEhEWZdXc27o81DRS64i4KOQgNfe5TkmzxOBEey2iWURRHOJ6AX6hGY/3yE8IuWI7tgHe+w3SwrKsBkJXowP0LTXSsqpQxsnW8LPcDAUoWMD1AAAgAElEQVTZymr2qkJRmEi/jqTjVLDMB1cPJHVVogPX8rwT0zYDTDNISgOOa6NQzb0B8G4dGjGinvKsVrc04TSOZeOUJXmhWSRpEwzV8EiQLMZxbcrCQRuEThTNiOZ9cp1R3qUXo26zX+tDsbrNfrUsC9s8H7WDF9iZaCoG7UDUic0B6wWeqDXbimSZ4njydd3Adi1FUZQ4jo3ruVKasi380G/QK7XOneM6Usow5ZbFbHrHNR438v1Z4L8DnnmrD+SbrSwLWq2unJaZnHyl2bhFLlCbGtvpmEioDv0dMx1VR02icizd5rq+CDTF7cJ0G6tS6jbTOG5e49g2m+c2j7nEe7fZ7IhOZ4jvt7AsCDoCvwpaPmGv1UBT8iwX3K8lUy+WkYjXmSZLUo5ujIhn4pSTRdwoIgO0B22CVkAap+RpTm+1h++5Bnql6K0L3jaJF3e73J96O2ssCk3YCdifzbhycMjscCboDMfBNo7Xse0GMlhbRdWk2VVVkRqx0zjLeHV/n3kci9PKNUVREs1j5qM5470x89GcKJoZIcucNI2gKvG8O2Ng7wBPumOwEHbDbylrKOtmgzDTmsDzaBk0imNZ6FIQHEmey/BBxZscZx0BF1XV7F2lFPNlxPWXrzPZH3PwxgFZkuO4DvPRnDjPT1RW/dbGUW5qkqHnmUPGbgYsUoPBrg/OvChIM4l65fmVxlqRFyzGc0oTwTuuCZaynDzTjdKvbfDsWRYTm32q7x75/tS/z1rLssB1vAaiWCNZyqLCsgWBYTUZp4PtOgSdsHnuXI+bELSykmdSKeqaqO+55LYFSWYgdlLLjxeCymn320wOj+54jcd1vodVVX36XhZvWQ43JhN2p1OWk4WkVt1W00221Zsnh+pa4DJNpUnhuHSDAIBU52RmwADkwR6NZ+hcShKVqb3pLGc8npF3NUpBxw946N3n7uWy78nSNCII2myc2qa70sX1XYK2uWbT9ZwdzgTG0glxfZdWN0RZqsH5pknGciLjmFE049nf+U0j127j+yGnzjyI3/IJOyGL8UJubK/FucfO47g2rW6Lh977Ll748gt3vtiq+nzztVIfBh4H/j7wAarqV2/3Nq1zZoczLu3tc3TtiGSZYNkWizThcD6nEwTosuBgNifLcvqdNq5tM2i30UVBNwiYRhGH8zm6KDiazbn8zGWWsyWL8YLx3pjxwSGjo+tkeUqaRsTxnKLQdDpDHMclz1PSNG4GGe5g33Oc+/bN5hkEyq24zMOrBxzdGDHdn6Dzgt5qj/agLfj1QZvOsMvG6oBuGLJIkmbYJDPllnkkmUiUZeii4KWvvcze5X2Orh1S6JKwE2A5tmQ9eYLt2vzu5SucWVt9O0s4tvmhjxt4VKUMCmRas78v6xzvTwAozedg2VbT1HZcu1H8xQQ7ZVmxd2mPeBETz2NR7y01Stm4riB+OoM2G+c2Wd1Z5WB3lTSN8P0W7fadJ9yqW/ar+qb9Wt1hv66ungIgy2JsR57HIhdUQhqnRPOogWqun92QCdyxSMf31/rMpjOWkyUbZzdIo5h5WdIZdhpsMCD9GqVQykzNGQx0afyQ4zqsbK8wPXhnIt9fU0r9TeCXgCa/vd2HUFUVRZETZxlZnJJnuoFXWbZFt9smcKV51AtDbANXyfKc0kBQ6rQtNjWleua8SWscGwdIlgK5qovhaST10DTQ+E5Bxzjwk7Asi1Eo/JYvEJ40Zz6aU5hoLl7EzKcTqqqk3e6/yTkXusAx9agsycjzxEjEyxodx6PV6uEFHl7gYduWwVFmzeSOG3QoioK102ts7m4c76KV+jPAp4BTwD8B/g5K/RxV9dff6uV5nvDib73Ie7//acEfG9n3aRQznS44UDSQt2geseiIDHwyzFlEMcOu1EtrzGsWZ2RJynhXIr/xeI/JZJ84ljpvaeBqrhuQZQlZlkj6qNRdJ4aAj97l3/+Pt/xITPMzNVFMqQviRUKe5A2sanIwYbw7khphIFOFq6dWefA9D+K4NrYye1hrqrJiPpqTxilVWZElGVeef4PFeE4apWyc36S/1m/gg+N9yYKuvnSVoij47ne/+27rfFvmhb5gy5XCdqXJtnf9kOuvXGO8N2E+mqMzgWBlaSqwK9uh3WvRW+8TtGTvlkXR3IrFeMFiNpXxb6XodlfwAl9QA3lBNIubJlevt8ZiPsbzAtZ21o51zeot9qtS6ueq2+xXx/FwHJc0jagqad4uJkuObozI05x2v40ferR6bfrrA8niWj5aa+JFLI3CKBUIa5oRLxJsx8Z2BGMPSImwEChdfU9V3czMCwpd4Ld8+uv9O67tuM73/ebv99zyswp4y7oLwHI5lamZKKXIdYP/U0o13dXUTAr5joNrUrw4y3AMmUmUCbTMtixCzyNw3ab+O58tJZUzqXyc5s0pDVKWqGt2J2VZlpLrrKnZzccLjvb2KXROki5ZLqfE8QLHcel2V2i1ejgTj7Is8LyQ7qCL48lGWS6npMmS8XiXxWJCVZYEYYeDgyv0e+usrO5w5t1n8EKvmRvv9Nu4gcdgY8DK9rEjpj8B/D7gy1TVEUq9D/gK8JabWeucF174Ern+UfzAY2KcbLbep9AFoxujZpPqXNPqtljZXsEPfRZjyXi67RZZZjZsrtm9tMflF15hMt0nz1Ja7R6dzqAZQS0KTVHkps6bSq33eLXQ773Dv1XcxvmCScmLkgo5THSu6a/3WdlZwQ88Ci3wwTdefIM8yYmmS+JFjBd4dAYdOkM5ZHSa47d8FuM5o90x0TwinsdM9oXHYfuBHTbPbaBsqymZOY7LcrbkxS+/wGR/Ah/97uOs9Z6tt9qjO+w0eGWA0Y0jxnsT4SMoS2zXwfU9lst5g7POsljGggeloHbMc1YUBcvZnCyVeEyyh5w8tbBtW2q+ZUWe5TLlNuyQZyme5zHYHB73sv8EZr9WVXWk7rJfZTJUkecpUTRDKYskWbJYjLEtm/G4bqRKo3fz/CatXktGg3UpJZM0l0NlPGd2NMM2GWahC7I4xXJssjgjiRIpSxRyQLu+29AKVGVF2Llz4Hcs51tV1feahXUBu6qqyV3fU5bMlpEMExRyU1vdFrZrM4ukC6gs1cxRZ7fgKGdRTCcMUAoKU2NZRDGlLuR3GQYxiRANeNqgHyQFikiWCfp0Qa/dOs4SMet7BFhDaoT12m+b4vh+C99vcXj1gPF4n6Oja+R5htYZ9XhsmixJ05hxuHeznuQGfPyH/xCn33WasBfyq//k80wme8xmR6RpRLvdJ88ziiJndfUU3a6ka7/1+V/jwoOPcP7xC3iBR5pkZGlOq9vi4d/38HGXWVBV2S3t3IRmWPRbrapKblx/lX/wU3+HC488LA0+0yjd3FhhdW2ALgriJOX533heIsS9MV7oMdwc0l3p8sjODr9z5TJf/vSX+Z1f/00uX36GIGhz5vS7WdvawvGEo2IxXpBEMV4gOFip98YkydLUfe/sgKuq+s9v/V4pNayqany3D2S6P8F2Zfw3XiTMjmb4LV/IkGwLL5Sm6fqZdUknD6fsX97j4I0DvvqZ38YLfVq9Fg89/RDDjQHKtpiN5lx+7jIH1683AxmLmc/e1et85bOT5qBxXZ+N7dMMt4bcePUGr734AvyP//XdLrle3xNVLfp6DDv76FnWN1ZoeYItPpzPufbKdaqipD1oM9jos5xGjHdHlGWBZQnXgaVsDq5fJ0vWuPjEBR546gHiRcKlZy6R64yi1MTRjKIsyLKEze1zMmQATammO+xw7tGz6CznjUuvkOfHRq4UVVVl6pj7VSkLx3Pp9VbJspTlckIcL1hfP8O5R89y+bkrHBy8wWSyzzO/8KvE8Rytc7rdFc6ff5ztrYtsnN3CshXXXr7O5VdfJP6M1Kmn0wO0zrhw4Qm63RXavTaDzSGdfhtlW6R7qWDV69Fk/86j4sdFO1wE/h/gAflWXQZ+pKqql2/zesHUTZdMD6fkmabdaxEvYpKlhPGFaaZ1+m280MeyVDN3nqcZs1Jwc9EsotAF89EMZVm4novjOUITZ1noXEDSzYJcx4z3yZRJ7B4vuFdK/V3gk8Cr3Gza3DG69zwf1/GYzyccHV0jSZZ0OkPSNGa5nLC/f9ngZEuieIbrBg1XwurOKutn1vFCj5XNVRaLU7RafbTOGAw2CPw2QbvF6XedZmVrhbATcOWFN1hOl0SzqMFsQs08dmyI0udR6q8DbZT6FPCngM/e7sVFodFFziuvfI31rVM88oFHGGwM6Lda+I5DXhTM4ph4FvHK115pqAPb/TZhJyQMhIrRsWwOrh7yxpXnyHNxOkHYIUtzrr9xmen0wIzXOvh+i8Fgk8FggyiaS2aRxcdm/FJKPQn8AtBSSn0A+FVkv371rV4fzWMz5u0zH0m0M7D7jG4cNQ0xEB6GG6/dwLItsjgjWiyl0aslVU2WCX7LZ2M44DVLkSxi0ixGKYuqLJhM91nMx6yunTIESpo8lzKSF3i0ei3m83vidvgF4JHjvrhulLq2LZDNJBNuA+PYjq6POLp+xGIxRqGkYVUVVJRYBofuhz7nzmyT5IJpfflrL+A4HSzLZj47wrZdBusDvNCjyAXi1eq28AKf/lqfVk/Giu/KRXLTPq/MflXH2K91Mz9otVHKFppO1yfLYp758tf46ld/WfpPYYetrYt4XsD+/hV2d1+TDC9P6K8NyZKcw9093njjBfb3L8t+Ddqsrp7Csd1m+tbz3QbDXw9O2a5MEuq79E6P+wn8HeCnq6r6fwGUUj8C/O/cocGR5ymzoxlZkpvpIU00jyl0QRqnDe43WSaSCrkOHaDt+1iOTTyPWEyWUkM17wnagaSAuZb0zJjt2Ga00cL3nYZVTKc5eXDs8eKPAw9UVXXsdnPgt7FsmyRZUBQFvt8iimbs7r7OYjEmz1PCsMtwuMNsJp3PeqMPNgasbg4FkXF+o6Gly5MMx3Np9UI6wy7bF7eFXMf3eOKjT8iIcVnSX+s3ZCHxIn4Ta9ZbmlIPUlWvAP898F8BXwd+HPhXwN++/dsErbBcThsn4Yc+a50OgefyC7/wGW68doPJ3pj9/TfY27vEynCLHfVQw79sWxZxkgpnr85IkyVrazuAwOUePfsUX/jMv6IoCoKgTVkWjEbX6fUeZzDYwHN9qcmmd8ZN3mI/C/zHwD+uquq6UupPmzW+/61eXEOGZkczkighSzIm+1OWsyXJPObapStMp/tE0ZzBYIPhUDhwZQrPxrZ9bNcmmi7RecGw3RIGOq1Nc6lPu99mfHBIUWguPvwoZSmlo+n4iLAT4pty0j2yfT2nlPqLwJeB5sO5XbZWl+I8xyFNZLpruLVCGqVMDiZkScZyMWE+O2Jr+wF6qz1To8/or4ZNNjBotSiqiumDO/h+SJ7n9IdruK5PbzCk1WsRdkO6w05D+hR2AvIsJ2gHDPobTe/jdqaUerB6G/s1z1I87ZnPVDKSl3/3Wfb2XufGjdeYzQ6bGYEgmBLHck9t2+bq1RdZLCakcUpn0CbPE3Z3X8d1PQaDDYqiIEkWPPvcF1DKptdd4SOD309vtUdn2MGyJNq1HItkEd+VafC4znetdrwAVVX9olLqL9zuxVVVEUUzlrNIZqGVYjlZoiyEDzQvyNPcNI8KilwmwsqiZNDvUhVlk/5lcYbtWAw3h7R7rWb+emzqaXmSN1y5NamxnVmGA4G7Ap1vsStACNwT1kfGX13abaHN+8Y3PsdyOaXXk4ZCELRZWdlhbe00tuVg2TauI9jCwBVEx8a5TRzPJVkm3Hj1OjoXYo5oFjHaHTXE7CtbKw0JT78l5ZQ4y0jj9G5j5AD/DHgC+GdU1aeQA/WuJk3AXNjFFksOrh6wc3aTzX6fcRRx+bnLdFe6PPE9T/KLf/srrAy3OH3uYc4+cpbHP/Aoa52OsIAtE/LcRAaOS6+3xs7FHd71vofZPLdJ2Am59tI1uqtd8iTn4PoujuOhlCVgecclSZbHvS2tqqqevwUT+ssmenpLCzohWZKRLBMcz6Hdb4sjnseM9kbMZkfMZyOyPOXR7/gA62fWKXIJJpQS6kTLsUnjlHgRM4sTuis9+msD/GXA2uk1Ov02px8+zUPLdzeR9OxoRqvbYvPCJms7q1x+9grT6eFx1wiwgtS5b6113zZbq0mDaixvVVX0VnvEXoTf8vEe9mgP2uy+tkt/rY/f8qV5ZAnaprvSpTPs4ruCDjm9tkpn2BXSKMdhuL5Gd9gRlrZOyHBrRUiSQg/Hc6Vp5Tms7aw32PU7WLNfq3vYr9PZAUWpOfXAWbzAY2VryG994XNYls25c3LoLZcTgqDDyso2eZ6QZSk7Ow+xsXGOVtil02/T3xiwc+48ay+eZmVlywRPBWHYxfNC4njOYjnhN37l37C9dZH1nR3Of8d5fFsZyN1N1Mjt7LjON1VKfWedtimlngaiO71B64zZ0YyNsxsUuuDo+hFBK6C70gUgiwWVsJgsSeNMoCuvVPTX+2RpTm4gWJatyJKSoxsj/NBvIr/Nc5t4gZCIx4sYP/Rk4kQpM9VSkiUpWXxnX6qU+gfIhnWAryulfpVbZse/idTjTeb5Eg0Mqg1cx+NodJ2PfvRH6Q4GTSRaVRXpMiFNU3zfb+BMli1NRKUU/bU+nX6bsqy48PgFZkcz03nWBG2Jev3QJ2wHjVKEjFLLH9u1yZO71tAylPoCMt32777lX28DWi/LgiwrUUz5ylc+TRRN+YEf+ghKKXpBwP/yM38Wz7HRRckf/NTHGC2XZFrT8n22+j2O5gtuTKfcePUGi8UY1w04f/5xnvzQ+/n+P/w9bPR6WEpx6kc+TlYUXN8/NFwZBV/75a/SW+9z+qFTXHr2ModXj+2YRqb0UAEopf4YcNvJqBpKdeqhU9KXsC1+/Z9/ke5qj4tPPsDqqR9s0knLslhOlyynS0pDh+mFHtE0wrIV22c3edfWFp2PBLi+y+6lXdq9tmlGFaJ00vIptWQvRzeOaPfa2K7DtTdeZTS6ftw1Nr2Y41qeyrh6biYnL5zZZrLab9Q69g5HdIcdTj90ihuv7UoZJfRQlsXm+U12Htxh69Q6vTBAIVOMj334MY5uHAk7m5bejlKqIRRfO7XKRq9HkuWG2c9huL1ynKAoU2a/qrfYr7cbsqjLAzVKaLI/5eLFx3n99Wc4OrrGuXOP8fhTH6LVazdAANdz6K/3ee5Lz5Gm0qe68eoNwk7IR777U+w8tMP1l6+zd+MNlFJsnzmH35I+AMjwSqvfZnVntTnEn/vic3cNiI7rfP8M8E+VUiOkGbUC/Ogdf7Htsmq63sIYryk8zeRgwujGqNnEVVnitwM8wyxvm83sBp6kfYuYPNOcf+wc7UGHy89c4mu/8RtsvnSOnYs79DcGQi7uySRYkWsKo/yQZ1KCuIt9zvz9+Tu96K0s8GVUsR4EaLV6eF5IFqeUpaTq2qAhVte3m8MiTzPSKCXNcxxD5OK3fMpSeF+7q12KvCBexE165gXemzh0kzxnGScyS58Xx1nn9yJolZ8D/vK9rrWiYrEYc3R0jW4gpYSbo+A0Y7E1RLAfhmS3EMrvXd5jOj0w1y8z9lcu38B7wGGl3Sb0PDqWxQ17RDRekC4T/HbA1vktNs9scPXla3dNVW+xPw38PPCYUmoCvIxQEb6lZUl2U0LGthi221x44gJFrgk6MoDR6koaW1E15Z40ThluDnA84Y/tr/cZtFpM4xjfcRhsDIgXMY7ryD2PhZWufmjzTKBPnWGHUhccHLxxrOheKfV3q6r6U7ebArudY5qP5gStgH6rhWOLVE6NICqqklY7JJrHDfmT49qowKU76HDxyYt0ewIRrdncAtdlsNHHdm3CTijDMXNxXo7n3MIlYcQRLIXjOcLAV94VvfK29msUzWmFPfEBlnAw3LjxOt3OkK2tC5x64KyQu7s2ZSGkXMkyIZrFTKf7BH6b9qCDH/rsTnfZu/EGG+c2cAOXze0z9NZ6DLeGIheU5OKzPJdWt9VwMzuew9lHzhDN34HxYgQB8C7zxwJevFNtVCIJTwi4c01VScoxHy+Y7k8YbA6ZHkx5/eXnaLV6bOycojRE465j0wp8UX3INCiR4OlvDBqozrVXzxK2W0wPp6RJxtlHzuL6LnmaY5lxQJ0Xhjnqrh3yn6+/VkptV1V1Qyn1XUjK8/fv9F5d5CRRjOt6rG+dwbZtkihG64w8SylKjev6tNt9+ut9Q8BcAtJUqUlKWl3RBSsNqTUIBV/YCXAsG12KMkJeFE2ZwQs9wQjHWQPpustC58CvotSHgKlBPDwIPAz869u9zbJujsmWZcliMcV3hNWsMKPfeZ5LBG5ZDE05JPQ85olsvrIsme5PiOM5WRaTptIwzJOc/ckU33EoKhlpne5PWE4j3MDlgScvsnV2k04QkMUZeXrsitCgqqqPKKXaCDpndsePphAJoFpVRCnF5rlNxntjqrIUR2LIgwozMdXqhbR6ISvrQ+EtjjMGq31CT+6t59isrvSI5hHz0Zyw28Lx3ObgrWqq0XMbdIZdDq8eslhMjsvcVqfgP3XcDwTg4OohXuBxemUFxxI+B991SHMtXCvziGgeUeS6ieza/Q7DrSErK/1GLqpCOFd0WRJ0QspCxna7K7KOqhJ6xhp3P0KR51qEA3yXIi/uSjpTmf2qzH41iIe77tckXrCMpqTROstZRDyLuPDgI6xsr7J6apVWt4VSQiwfL2K80KO31mc+mpPnGU9/9MO8673votUN6a31yD6T8dDTD5nm/5KyqOgMO03ppp5fEGhZiGUrFhOp/d+Noe64zvenq6r6l8Czx3mxUqLf9uJXXuD8d1wgaAd4ocd4V1A/vdUe2xe3xGkawDrIaO3FjQ1SrZkvI849epZCl003v8g1g40+3/dj30dV0fBwdle6jcyOUCxm5GnOtVeuN2PNx7jm/w3wlFJ/A/jHwGeADwI/drv3FDqndDw2z601PLc19rg+AevR5/l4QVmUDVjdciySXGbiN3q9xrkeTGe0w6CZ8/ccod20lOJgOhPC5qpicjBtNpFSN0ebj2E/ATyKUv8DggJ4FvgEkt18i7mu33TriyJnb+91Mq0b6kTbcCDUjTWlFJnORf/K0GKmOm+aD53OkG5nyHw0Z7Q7Yu30GnGeYxl2tCcffxdJnjd8wNM45pWXr7B/ZZ/D3WOTJP0VpdRDwL8DPq2U+uWqqm5bJpuN5oSG3D5PcuJlwsqwB5tD0jiVMsNkiRd6PHDxNGfX1mh5Hr0w4DdeeoXR7kiQHZ7XjNS3fZ9TQ3Fyl9R1RjeO6K8P8Py+2R8eYTtgcjDl0jOXOLh6QJIsvmXM+a2sqqrfNn9/Xin1HqCDZKQ2cIHbZHHtfps0TjlaLJohp7bvy3i0wakON4esbK1wemsd2xJVj6Is2RtPcD0H1xHhgmWaEmcZ3XaL6cGULMlodVuceuiUcGMYRMjBGweUZfWmOnNZlgKpO579BPCoOuZ+zXXGeLRL/0BggWcfOcv66XXT8JPgJ00ybNdm58EdvMBtBkGe+tAH8UIjnuo62LbF0594Wj6TbqfJOCeTOXmakZkhnMHGQJrSk4XoAJYyYFWXWG9nx3W+ryql/j7f2lV964khs4Hm44WZqZZoobvSpT1oi35VKZ3uWyO2OsWrDDNSb61PnuaMd0foLMf1peGmlDJ0dSVBT2R25KEXZqEslsk6oCE+Poa9H3gv8JeAn6uq6qeUUnckAxalA5l1rwlwaofr+S4YR1w3EOfJnDzNRdUgF2zsIklEj87gnPev7FNVFWun11jpdbGUMjSZYDtWo/ogaJGbJDBFfmwqwk8BH0E27z+iqv48Sv3W7V5cR75YNpQFZSnRdz37XysV17I7eVHrf5WEnodtWUyiJX7o0+2uCLywO8TxHJbTJePdERsDiapqbgRt6CYXUcze67tce/kah7u7HB0drx5aVdUPKqUCJHX9JPC3lFIvVFX1Q2/1+uV0ic5ksjBo1115n14rJBz0mQ2EL6Tt+1zc2GC108GxbSbLJeO9sSkliYLFilHW3hkOWSQJcZbR7rVIlgntfptCF80U1Gw04/VnXmd2NGOyN2noO49rSqkacbQCPA88Bfw6t8nYVrZXKLWoVgCNAEFNXtVrt/D6PbpBQOh5MqGqNYfLJZO9MatmKm2RJERZJlQAVYXOtKn5FhIEVCKdVZhJuEILt4vtOKxsr7J3+XkOD68ed5lv2q9VVf15dYf96joeuc7QuWQY8SJmdjQj7AQNq2DNUVH3SqaHU268ep3+xoBSl40Pshwb23UY741pBX4z6LWzsdpISelSpiHrBmy8iNm/sk+r23rHnO8RcrJ+4Jaf3XZiqE6d0khmqdv9NhtnNwS+kekm0lWWQme5kEoHovJQy2/nqRAb99Z6+C2fK89fod1L6Aw7OK5MmASdkM6wQ5Fr8kw3mmplWRlH6DaquMcwGymp/EfATyilWsAdtU7yPMPzRP47NJLU3ZWuOEPHpt1vY9kWRS7d/r03rspcvOkyd4YdPM9laVAb/fUeq6dWufS7l5jsjdk4t8nZCzsNpR+I5E0NYK8qZODEKGcc0yyqKkap3w/8BZSy7rTOqvpWUuhaYkZ091RT5xVSbWH2SnKJ/gLXI6s17Vp94njG6699g5VV4cPQhou4JlhapqlwfMQJ490xh9cO2b+yz3w+IlreeVa+NqXUOjJq/D3AdyHNtufutMYsycxouIyGjvcmsDlg2G5zbm0N21JGzTfjytER/z97bxpkWXredf7es5+75p5Z+9bV1d2l3iR1W5stqb0Aso1lYLCBMQ57zJgJwsQwhhkmIAggZhhwzBgPy0BgRyAzZmwDNmOEMZYlS7KtlixZavWi3qqra83KPfNu596zv/Phec/J7FZXZlZbNeJDPYqKrsrKLN1z73ve87zP839+/zhL2YnEHsr1HOypJuNoQt/3azfumsJnTsugl7cAACAASURBVEJ+6OO5jnimGS162AoZ98cCXyqyO8VmfgdSCvzHwD8CGsBP3+6bg2Yg/ZeyQGeaLC9IzOnLtsT9O/Q8HMuqN9hRHLN2fR0/9JnvdnAsi5VejyhJBPaU5jUTd3t1h6UzpglVlrWfYZlL8ztsCz2ut967E1WHpbWeKLNe1QHr1bJtrNJia/sW0bjPeDCW4ZFBxNLpJcLWLkSpyAquPH+FS1++hN/wa7IgUCdQRV7S3+jhei5zSzOUZUkrCGrT0ag/prfRI4szRr0RUW9EMk5oLDYOvCcPO+H2I2/+mlLqtufc6gJuXLnE0hnRRB49d4TWdIuNGxsyIGF8lJJxUpO7ALLScEFLjeO7uJ7L0ROLOI7N0KAXS1Nrak+3sB2bOIpr+VqRl7v8TdOhPmT8K2AF+JzW+veVUi9ygLwlngzF7TRNSCYtwnHDTLYIlk4bZ4Mszelv9Cl1wdKxk4St0Gh6M4qipN1pYk1ZzLeFKZqclW5pb71vpDtejeVzPPFwa3QaUuO2xYamgoUcIj6FUi8gapXfQY6oH7/dN+uyqCQDaDR5ltaZuqUUjmXXjbfCoAiTLGecCPxdecZefGfIZDKg11snGvXoDzYIgiZHzx0hLwqGcQyBqFVKg9bcWhaK2mQU0+9vECeHlpqtmV8/A3zooCm3irEQR3F9PC4MKjBNMjaGwxorqbXQ2hxjueP5rgzKzE0x6I/Y7A/Iy4K5dps4yxinKbooifqRiPGNh5i8pYpmRxo1VbZ1h7ZXt7TWmVLqJeARrfUvKaX2BQo4jo3WkGSZXJ8pvVash6wo8Byb/njCaCxZ3LUXrvGu73onDc9jJ4pYvrlOHMU1v2JqcYpGu8Fga2CUR37t1pJMEpNgyZ4QtkJ2ttZlYvFw8Sl1B+vVNr2TLBM+w3g8ZDxe4NbVm1z+SocTD8r957g24+GEay9eY33lOrNzx+S+NdLYRuATBR7RYMza1XWuvnCN2aMzdGY7nHnkLFE/YjIcs726w2Q4Jpmk2GZCEq2xv1HuxUqp7wX+F95YWwqBt6S5VAvpq898iqmpRfzQJ16aJuw0OH7hONdeuEae57S6TR584gITIwlrtBu4lkXD85iaatPvj2TCrVFw5vQxsRs3eMJBf0SaZESDcc2PyMzmVOYydWRZFo46XEaotf5ppdTP6F2v+W/TWu/7eHa9QG7GJCLLU+I4wnYsOrMdirysu51Rb8TWxgpTU/O0Z9tQapYvLdPf7HPrtWXmT8yTTBJ+8ZPPkGUZ9z1+Hr8ZsHF9nad/7fMsnVmiO98lbIVkcYbtiiJE3JLv7KiK1n8Vpf4RcBOtS5T6CbT+6u2+vUL/Obax3S5zNrf7jGZmyE3dsMrwtqOI9cEA33HoNhoySVUUcsMuXybwm3zXR3+AoBnwwuef5bXXvsLol3o88i0P4dtuTQCbpCLs37ixwc3XbrK6+jr9/uadZIUPIFrXDwOfNg/ST2utf/atvrk93WIyimUdFcKuqOAqINNYDc+jFQTEWUrL9tmJxixfWWGwPeTouaMkqRgsbq9uc3OScv3KitQB+xEbNzZYvbLK/PE5phan5YGTSbO0vzmQWqFlkaVxDRY6ZCwrpf5n4JPAT5mM7rbczdpZ23UEZzpJZPApy1G2RTwT11nh+rU1Nm5uijNLVvDSF17ic6tPc+3l1wDw/IA8zylLGS46ceEk04vT3Hj5Bo12g+ZUU479ZtQ/bDfwG6JC+OpXf/vQkjqt9V9VZr1qrUul1E/o/dZrnuF5PlmWClM8GWNZFvNHl1g4ucDph0/jODZpnPLqH1yiyArOPfQQnbkuvbWeNAVDSd7cwCMoSt7xgYusXl3jynNXGPUi5k8uSJlxuk2Rl+b0XXD9petoLW7kXujXPJvbxWHPqv8QmTL5SQSq/lEOcVRNkjHra1dJ4wv0NvpC4vI9Fk7O4waiy40T0fM6ri1HMr1rulfVivobfWbaLVzHIckysWdxxXhTKbGrLgqprxaJyJuqX4eVJ1Wynb1HbPMQue14cRxHUvPKEiw7M6+5NEMSaX3zjnoRWZqwtbXKtWsvEUV9ZmaO4HkBju1y9PQp1pdXePnlLzA9vcTCiUXTcW3w6pdeYXtlW4ZGFjWOI3XlRqdhzAtlevBAA83di7qAjGhO10JEKR6/pZ652thLXVKWUiLorfdwLggUvypBlFqzNRyy1u/TMQ3DvBTAeFmU+H5IqzVFa7rF9RevyQirsrh58xUuv3ydRx49L5SoOCYxrs1xFDMcbjMa7VCWh88ItdavAq8qpZ4GvhNp2jyBTGV+XVi2XbuReL6LsmRCKRknJIEn4+6TSc261VqztbZDf6OPshRbK1uM+iNWX19lZ22HIitoTom2t7/ZZ2d9E6Vs+cwcGy/wZM2aqbp6o1eVT8Gh478Bvltr/SWl1K8CfwaR2b1lpJOk9jJTSsp+RVGQxCllXuK4Tu0zWG28ZV7S6Er9UpcaXZ7j5uVrJIkQ/dqdaaaXZjhyRk62vfUe0SDCcgQFYLtOvQkNd0ZcfeEag8FmDTw/KNSe9Vrdm+a+fMv1WhQZruth2444Wlg2aTohz0TiGfUiHE8ePnIK90ljofK5gYttSiiOsb1XY1UPhFiOxdqVVQaPnKE7160xsSpVMn9g3C1A9q4Kn3u7OOzm29Naf1oJV7Ortf6fTDZxuzcMkBs2SQQuLE2NDGVZzB2bxQs8FErqI+0Q15cuYwVQBxkb9hs+eTZkeWWDpaXZWjOIATjbrg1xRbDf4yOmd72YDhl/e8/vXaT2eyCUpfKiqo468XhS167DVkiR5Yx2RtiOTAVtb6+wsnKZ8XhAEDQFsFJkTCYjTp16B0dPnubkgyeZOTIDwPr1ddI4pb/RFz7qdKsG0duOgVQnGXl86M3p3yOcjkMDWaoHmW075HnG5vKm2AMZRoA20PBXlm8x2BygTy4ymMScnJ1lFMf01oVzsbFxg5s3X6klOlmWMBrt8NXf/iozS9Mszc2QmRphkQu+cjIZkCRjiiLfbf4d/Hp/CXg/8Arw68D3aK1f2ff6jPNCtTlW2vTJSI7XaZLVpoppkrG5LJrlRrvB8qVlxoMxvbUdxuMRWZbgukbBE0eUZcnC0nFRuZiNvaKaRf2oHrxxHJf8ICCAvN6Te/74tPnzr5lft435pdk3AKp0KY3tqtSSZzmO6whbejAWd15fdL5LZ44wc2SWzlyH/maf0njNdee7zB6Tr4etgM5sh+2VbcZ9qbUqZUw6HZuNGxs884XfJU3jw9te3eF6LWp3FCGrNdozRFGvbqjGUYweSQLRnm3jODZr1+Qea8+0cVwxadhWgxoLO9gSldH8iXlcz+XSH1zivsfPUZrkUBuWeKPbpNEOSY2hbRLv/1kedvOdKKXuRzqqHzITJ7clgFRlB23Ay5Zl1fXJZkf0jlJvkqNlNUkTtEKy0+L4MNiUTnCZl1iORXeuy+bNTRZOLtDsNsSULxctby1Vi2J6BmBsOzZu6B7a8VbvhY1LfFIp9fvA39rv54oio9OZpSiK2kal4gNUI9TDfo/zD1+UYn1rmuPH7md94zpJMibPM1zX5+S5++jMdeoSg2Nq1Q9/68PcunyL7ZVtyUQKoeSH7YYxABR1hRscuubbQ+u/e9hvhl2+Q1nKqeLLn/oiT33kvUw1mjWnd5ImrF9f59yDp3ns5EkGccytnR0uvXKVlz7/Ev3+BqNRD8uy643JsixarWluXbvGlReucuTDszWZbjwcM+wNiaIBaSJwmsPIsEz8G8R4UXEICl+lQNFmYKWwC4JmQDJOGPVHMijhicW93/Clyea7HL//OEUmgxMbNzdkXVoWSRQLVS8vZKxewdKZJTqzHZRCaHTG4bbSiFZwqENmhJ9FGt7VG/LmutNbOnas3dpk9eoqpy+elk3REQBM2AqF++A6ZHFKb71Hb70nIPSTC8yfmJf/E61F97s4TZ7lteN0kQn4KkszZk3SMNweEpkNXNCTEbeu3ODy5WdwHPdOyis9fQfrdTTaQeuSqakFwrDF7NIceqWoWdjLl5a5cekqRZHzxHe+V0oiWwNe/tqXuXLlOZYWz3Dxkfdz7Pwxems9vvi53+Jd73mK+x4XU4PFU4t8+hc/xcqVW5x/5/3Mn5gX1nahmVmaFobxcEKSxVL/3ScOu/n+TaTm+0PAXwd+nAMGEEBGUweDzTq7rZ+yhXGeSDLJLoYTBpt9cRk1G1jUH7FxfV1sc2yfueNzbC1v0dvo4QYuZV7WNP7Kqgaon962Y1MWxZ3ofPdmEwq4COwLyW2EbYqyECNNy8F2XGOoKRtFMk7I0xzPC+U4k8PM4kydweWFOFZ4XigDFWYqSEZRdyUvXiDkpGSckIWmvGFE61WHVh3+uPoxlPpfETLUbrq8Dxi/wgtW7/Hq6mWiJGGu3akfsgqxZjk6NYXnOMy1Wni2zUyzSWe2w2svvMzKyuuMx32CoGUsuF0ajTYzc4vkaV47QmitjSOzSNs0us6+DxnPIhrfvRS+HzDliK+L1Og+y1LXNfRGR+A4iaHjFUVhrJ8M63euu8f7LZAhmlx8wnbWevQ2eti2XUOkfEPuKwoZriiMLLIqnVUOv4dJFrTWZ5TgT3tmKOivI5n+l4Gfut3Pfek3vkjUH3P64mkpV+VFrTYB0KWW0e4sl4nKuS6NtmGIDMcksTQPbdsiT3dPl5ORMC7SSYrfDHA9eUgVWU6eSaO4KkNqLROhd/BZfky9xXrVt1mvZVmQ51LyS1NRZHieaAOiwZjttQ2Gw20eeOwxlBJL+9Z0mwcuvouyKBhFPV584fPsbJ0lDDtcuPAkZx89S7Mj74Pt2Jx44BTPfeGLXHvBoz3TNgICKU9U04G5eSDtF4dVO3yWXeH2E+oATureN3ZnZ5XB1oDF0ws4nosyjgyU4tzrhXIBGzc2GGxtCmnfHKXnT8zLxTVkgbemW2yvbOP5rmR+uegIHbvqFBd1p7FaDJ0DaPJ7oro+bX5tAj+x3w90OnOgVG1T7Tjy2itTxMKMHjfb4vSrbVFweIFHuzODwhKrk4bQ9F3fFcnKzqh2uhgPx+jSMCImCfbAImgG5GYktToO5+mhyw7vQ27U9+352m1hLNUNVm0KSim2tlbY3OpzbmFR6rq56HqnFqdZ6Ig9zDhNsS2LmVaLd91/juQv/yA3X73JrcsrTIZjdja3SNMJQSDjtUVe0OsNabRCKUnVovyyPkbeQWPxn/P1FL5/wW0ofFma7dbnzCZvWdZuKUzvbv5JnOIbbkA6SQiaPo7j18aLZaHNqLttLGwKRr0RVA+VvJAafZrVzr6WrerM9zCbklLqJxDaV66U+gwy9fXL5vr+OUL/+rrYXt1hPB5IPdK23mCbVA0H2baF1tCaatJoN7CMQ0tlia61xg08MKqAdJLWDe9kkhBEce1BWJqjf2lLDySKeqTpAUavXx93vF5F6ZCTpnGtvijLktHOiK2tFU6evsDM0jRFLtcvHn4wM3sEzw8YDne4du1Fzp9/F8fOHas/d8d10JOEpdNLbNw4w83rlziyfJTuvIxYK0vq+Jipt97WvkbLh1Y7PAH8VfaAxg9qRlWLKI4jdta3cTy3vqmq+ktVU6pqpLZrk4wT0UQGnqT0roPjillf2BKQTW+9T9AKyU3dySrUrouFUrUjb9hu8NDD9x3m+h4A3vcWWcRn9vs5y7YFnF6W2I6L4+zyJcpSZENKiTNvdd3VcVMpWaBe4NW1KGVZ9LM+ru/WdkiT4Zg8KwR7mGRMlCLqjZhenCLPxH6mMig8ZLwTrc8f9pvfeKKVh1ySjFm/vg4P3g9AoUvyomBxeqqWK1UbpqXAtR3ml2YFqN9psnZ1FcdzGe+pd2ZJxtbyJlMXz+AZqZ7UmV0sS0wYi/zQ9fs7ovBVfYGqhFOF4xnZUpoLNc/Ih/yGj+MJuSo3hrCWregEobwXaUaedWhNibuFF3jSWJsI87csZFCm2ngtc9qrLKQOEX8R4fg2gdeBJa31SCn1T4FnbvdDJy6c4MrXXiON03rdVSFWSso4WbhSAkyymsOijF9Znmb0N/r1wyqNq/WssN2J1M1tefA0p5p1Uy+NM4bD7bqmfQcP0nfqO1iv2oziJ8kYpWzyPMEthb2RZWk97FWN/1bNNNf3mJ5dpNHoMjt7jO3tVaZmZ+jOd+UEVJSU3u7D6uwjZ9hcv8XatTWUpWh2m+b/X042UT9iff36vq/1sGWHfwX8E2S078B3zbYds/FYpGnMF7/467z3e+XBVRQCjBGYdFEfrVvdZp3agyyGyrKkyEvSOKprxgCJmQ2vJDtVTacKrTXf8r5HuHDkyL6vVSn1l5EHy1tlEf8CKbW8ZTz1Z7+dz/7yZ9+wkMpSvJ20LknTmDxPsCybJJYsZzwekGUJji0TcGVZsnhyiThK6saOTKyJ/Kc93RKrmul2/TBSSrF5U+hfWZzSnGrV2uZDxNdQ6hHuwAHhTe8X29srfP4/PM2HP/huAs/Dd1ziNOPIVNdMTWVYyqJZA7ML7l9aQh05Qv/cKZ5++qsErZD1a2ssX7nO+rPXuPDwoziew7H7j1OWYrba6nTpdGYZDrdwHGFZHDLuiMJXZNKpxgD6gbr8YztWrU4A6Mx18QOP/mafIiuY1/M02iHNVoO8LHFtm7npLp1OC99YYcVRjNpWUk9d61EUBV7gETSl9r13zewqHfeNTGsdAZFS6rLWegSgtS6UUrc9Aj3+HY/X5bu543N1Nl83uI2Lb2euw2BrwGCzz9B4tC0vv4plWYZPPIVlWYzHQ6Kox2CwRRxHtNsznD//Lixl02i3mFmart/Pl7/yHKurV/bomA+dLHxN3YFjxx/5vh/i5Wefoddbx7ZjBoMtFBZ+IyRsNpjhKNsr22wub5IkY9rdKVpTTfzQ58iZI3TmxDdxr4Y+6o2Ekmh0y3Ekw173veOhGiOQG7fmuhQznJBl35ia70Rr/U8P+b00m1NMJiMxmFSK4XDLGD66UGpKXWJ5FrooSU09SFkKx4zzVdlHnolMKU9z4nFs5BtWnY24pkYqUzS7WWCVwXTCsB6l3Cd+nLeRRQB831Pv4/yFU3z8//5NbrxyVeRKlfzNcoz1ec446pP1U9J0QpFnta1MYaRb43Ff9KXjPqOR9IakFhzgeSHd7hwLx44yf2KeoBXiuA7RIKobeo7n3kkm8QDwDEqtIOxiBWhuY6suocxrsnAdj6IsWF19ne0oYslxcGwL13HIi5JSZ6RZhmPbdMKQoizJihxL7dY0K0upoBXiuQG93jprN1ZodJqCajQTcUEzEJav7ZBlCVofevO9IwpfxcfQZry4WlPSn9Cmh2DV2Xw8jon6spdHg8jAyPv1kIblWMwszRD1IzaXN9lZ3WHUGxGPJgx7Q/wwkLXeDNBa1nWW7da7DxF7d+hDvylxFNOZ7chQ0h5VEchnWxal8BuMRZfULwt2tldYW7tKuz1rHhRF7cRhWQ6u6xNFfdI0JgybtZV85ehrWVbt9FIttzuo+T4APKPetF71bdZr0AxwHAOuKgoZ2aasS5Xj0ZCNjRuMxwNTBhIWhe06NLrN2qKsop4VhQgA0lFK1B+xeWuT9fXrnDh1P53ZDrNHZuoS43gwrt/TzmyHY/H9+17YvpvvnibUM0qpv4JIWfYWvd8yrw7DFlmWkKYTc0wVX7XWdItyj8ml1rIgMOUCL3CxHbEIKoqCaC2qheETMzddgZqDZoCyLEozqZNnpoGxp2HRCUMura1xen5+v8t8W1kECEbx4RMnuPTkA9x89QZpmpoJmwLbdvC8UGbMk3Htz1bZo4sEKcdSNu3ODEHQIgxbdLvyWkUq47C2dpWNjeusr1/nyfZTtLrNWmpW1dmqqb9DxkcP+40Se47hjosfNEniiLW1a9xa2zQ8XhkzzosCjMFpVpa8urrCKE6Ya7fJ8pzN0YhoJCO5UW8knm1JRL+3zvr6dWaXFhgPdq29G+0Qx3FxXZ/xeHhgVqiUOooYK15EGjQ/D/Q4gMI3Hu4mxZZt13AUza5mXVkWCrmhk3HCeBCRpTk7q9tkxvF2PBjXJ77Zo7NMhmO21tcZjXaYTIRz4vsN5udPoGwL13Pq5mIUDe5EAXBe7TJu9/5eAbets1UaZMtWxOMYx3F2G6YmAQJqSZ1Sis5sh7I8x/rGdZn8Cts0ml2KPMP1fLJU1C6+36Dbnac13Wa0M0SXUla0bDnd9XrrpOnkTmv3cIfr9fLzryITyBJFkZGmCcqSXonnhYyGOyzfuiQ16zRmONqhvz3NwrFjhO2QRltGkPsbfYbbQ9bXBfWZphPSJGYU9Wi1uiIGMKyZOIoNsVC2s8lowmi0v1L1oMx3r6TlKb6+AfWWT5+trVsURV7rOcuy4OoL4nhQ5GX9ZM2SlOsvXmd7bYteb404jlhcOE1npovWmtXlG/h+gzBsMXd8jqn5rsjU8rzW0IrTqNiOj4eTWqNpuza/98JL/OJP/Su+8xP/cr9rfFtZBEhTaWs05Kn3Pc4rX3qFV7/6Qt1QaDS6HD1zgmbUYH3lFusb10iTmO7UAjMzS8zPn6DVmsE1DbigGeC4DnPH52o+sdyYOcOdEb21HlE/Yu3aek1oinqRSGVaITo69IK+nb36W3I6KvVJlc17XoDrevT7G3zh41/gnT95Tr5PybjtJE25vrHJZ3/5s/y/v/zPKMvS/EwgYnfjTmzbkjGJSaPLaLQjWL80q49yYadBo9HFtt268XZA/EvgeeBfA38K+FH9FqPxb45xP8I2+k5/MKZhZHye79aSLKXEY/DmKzfpb/aJRxPiKGF19QqWZROGLRaOHJUx7LIkHk2wbJvOlEivLMvG90OmZxcFMGUA6sk4ob+zzdWrzxtJ36GW4Pcc5pveHL//618gScY89sF3053rMtga1K/XD33TMCx3ewmOxcyRWd7xgYs8+ZEn2VndkelK3yUzx+zh9oA8K2hNNetTqxd6jAdj49dosb26w+rqFRzbJS+y+gRxyLij9Xr83Cm+9U9+gH/01/43yqJAKZt+f52ylLq93F+PcvrMw7JpxhGrq1dYX7vKiy9+DmVUPXmeMjNzhG53nrm549z30DxH7ztGa7olPn+bA/I0I+qPcVybaDCur//IuSPMHZtj+rWpfS9s383XSFq+F3hRa31ZKfX9yFTNVxDp2VtGmsZ7slu5cddWbnDf6L46rRfLHwc3cJk7Ns/U/HQ9S1+WAl4+//BFYxFkEbRCEanbVs0CLQywIzOd/ixJZU4/y+nOdfi9X/09rl59Yd83gLeZRQA0PI8tpKF03+P38fJXniM1PmOWJWPOjudi2y7t9izhQpvZ2SNYyq5VEkkyJl6PaDTEniRLxXq8mp5pdppMLUzR7DZ5/dnX6a33SMYiXYuj2MBNDgWnrmKv+4GLgGd+h9ss5r0Ss0omFIYtiiLn5mvXABmmsSyLLM+ZZBm9tR3ikSgZkmTCyZMPcerMQ9y8fokkGdPpzNJqTRFFA7a2ltnZXpHJvpMLewY6hPebZQlJLK4RHHxUPaa1/iMASqlPALcdQ90bQTMgNZK9ZCy0vOZUs25kFobK57jy56AZMH98Dr8RMH1pugYdTS9OY9mWNFYNUFwpcSoZDyKharUbNet2MpoQjyf0dlYZDrdMM+pQSMk7Bv8DXL36PGka89TSd4mzrlJixmpJZm85dt0Iz7McZWy5QIZJXE+kVJPRRFx6HYvmVKu2y0knqXFeceUUa6bFknEiSgn0oQdl9sQdrddTD53ioVMnzEBQajJtJfXp3gjHtWlOtQhbAdurOxw7dpJTD55l3B+zeuMmlW1Vmk6YW1qi2W0yvTRNZ6aNZbC2YSuoiWmVCiRNMjqzHbJEDFenFrrsrP0hMl+l1E8CPwj8sFLqEeAXkHraY8A/AP7KbX7O3LCSNJdlyerq6wy3303YDkVyZmq8nVkpcJdlpX+UbrHjuTW0GKg3pCKXBlueZsTjmDhKajcHqRFL5jB3fJ5n/s+fZTw+kIT1trIIEGB46PlEScKD7zjHFxaOcvnShhzl0IyH4o3VbLY5eeJBHNfDdX2KImM06hvjzZzJZMRkMsJ1PcbjAZ2pGdrTLVrT7doI0LJk3HHcjxjt5LiBJ9Iz24JS18qPA+PNmaBSM0iD8S1jr77WceShKXVYl2tXXxDWRpZjGxJWVuQcObXER//S99GabvPiV77CA489xiPf9jA3Xj6DF/qcffQsru+yfGmZV7/0ClsrW5x5xxlmjsziemK2WBqniPG4L/pQDqVlrksLWoAzh6Kvz59cYO3qWj1aKzCYnNzJUKbRVrkwBI2AZqfB1OI07emWlBdGwoOt+RtJxmBzQHX6TScpO2u9+ohf1VfTSUq/v8n6xnWiaFC/33cr1tevMzNzhMfe/SCr2ztYa5LIeIE4DRdG81sYrbxSogApSy3GBePkDa7ZjuuQRDJMkCWplA5DkeFVprZhK+T+d5/H/jXXNNvKGn5zmHjzyUUdsF690CP0PNrtGZJkLLp7ZTEc7bC9vUbQCgXqVWpcXxQ3C6cW6cy06c53xQ1da4KGMMj9wCNsN2qpZ1mUMkNQTXZmov1O4pTOrOjeo34k5hHbw32v7aCyw58H3qu1Hiul/j7wH7TWP6dkhbzIbTbf6ulWlR2UUty69RrPPv1FLj7xTtAay1Z4gRj0VU/U3Bw5q879ZDTB9VyCpthOx1FcS9I2l7fIkowsyWqJWhqn5FnAxfdf5PnffZ6trWVse//Jr7ebRQC0goCjU1M8d+M6R6en+bG/8UP89z/wObQuSRKbG9dexfMC0bK2p4WBa8DVVdabJNIVFdaBotudl68lwiwKGj4yaCFmgFmcEQ1HDAY7OI5Lo9WuPc/eZoyAM7f7y6mpRdGGFjmuG+D7DY4fv8B43Of69Zd46eYyJ+fnsC2LKEkoypLFbpeZZpP7f/LPofWfpShLrm9Jh921HeJEbmCgUwAAIABJREFU8I299R4Nc/y+8sIVrn7tGu/94+/l6OkjuLZ0mTc3bpLlqamjH/qoWsWhjgPn33We1lSLW5dv0fZdosGY5Vdviot0OyQwNcDAlCQczyWdpPQyAdo7js3s0VlDRxPvsngciyO1kTRF/RGDTRlZnT06S1kUDDYHvPTS03ugQerQzIO3Excvvp93P/Venjh7ls/lr7LTCmuuchzFzB2bNQxqi6P3HcV2LHHfSDOi3ojeRp+dtR1Gg35dNqj4JkHQpN2dYv74HJ2laQD6G326813e895HeOnzf4EvfvE32NlZJU1j7MNLI98c+67XW68t8+rDq3zfj/8pfulnPobWmsVjp8hvZGxs3GBu4ShBM2CwOcB2bUb9ETtf3qLRaDFzVCYss1ggSZ7v0pxqCV4UkR4GzaDes5rdJv2NPuPhmM5sR/pTWc6ph06xdWuTW1du7HshB33SWu86AHwY+L+qL+73hN7bGHEcl0ajw/HjF0BrRjsjvMDDjZJ62q0oypp9macVK0Fju3adbVS/LyaF0OhNdlIWshlnSUpZlJx5+AyjnSFP/+anpIt5FxezbQhsCkWUJJxdWODUqYtcufIcWZYYUblPmsa0Wl0cx6YolCEt2fXkjbhFyGnB9xsGDGJh2bbRUQpZq4K1h80GaLFqchzH6EoPufm+0fdLIXX7X7/dt09NLVCWBcPBFlkW4zpe7dgM8Oynn2XpT3yQ0PPEYkZrfMcoVrTGthS2ZXNmfp4kE+D4jWRLeM2BR3e+y1c/82W2t1dZWjojGWGeC91sFBON+3Xp6hBxUSn1+p4/HzN/3rdDvrW8xfH7j3PtxWs4riPUqzQVTkOSkaV5XU4oixLLtnAcG2VbdWlCGw1sluYCiV/bMVI1W05rcSqaU9cwddOMnZ11BoMtoxy4u1kvwMzcEqcunq6VKGErwPVcEismHsdmQMTeVZqYmnc8msg1mpJENVRkWbYZLLIJgqYplXm4vldXiLQW7u25x8/x+uvHsSyblZXLlIeT1KHucL1G/TFXXrnO/Q+d4b4HH+bSi8/Rmm5xVJ+rTx66FK12nmbYtkMU9YhGPZJkV1ETNuXUPdwZ0TTMhookWOQChhcpmkWrK6XBOIppTjV54NhRfveGTNLtFwftTLlSagpBST6OWOuglDrF3tHUN0VVI+x255ifP8nc7FFcLyDLU9aXV2jPtImj+A3UH7/hi4QqF9+2IHRpdpsifQk8sdsOhZCfRDHxaILWmEmjVCxCtGbpxAL/9h/+Chvr1+pR37sVllK4jkMnDGsrlj/y5z/Cv/9nfVbXrpBlCXmeGeVHStg0VKtcNt2iyPB9YQA7jjSVPC+k0WrTmZGSg+XYWLY4d7iemDIWRcHOimVGqxVpnL3hOHjbEELUzwLL5isa+Rx/+HY/MjNzlCLPGAw25aiFJk0npvsb86Xf/hwX3/8Q508cq0lmtbFmWTLJMxxzEpoY94M8zbBsm/FArOdXV6/UI9au55ClWT2OKhIzbSRLB17h/tqe28Trz77O0tklWt0mw52RwNFtRySAeUYcR/h+w9ysUhtNqLwKd0fCBcae15B0oNazl3mBF7RxPUcMG0dD1tau1Q9dpRSNRpvZ2WNv5xIOFfMn5rl44Qy2UgSuixfKVKXtOpSjmDROUNYu0KoaitKlMLKbXcFEZlmMwkJZFn4YiA59qkVrukXQlDHq0pTCilwcto+dP0a3O08YtrAtm/7gYJi6ehvrNY1TXn/2dZ5490Ue+dAjLF+9QpZkeIEnvAfTS6nC9Qs6nTmyNKHZbjFroF8VeD6dpDS6DfzA2+PMnBoQk4PrS5klbIXEUcyZd5zh7MICvwsHunUctPn+faRp4QA/ZybA/jTw99jHUTQImjSbU5w7+yiNZhfLskgS6XRvb9/idHZW6kdm87Btwc/5Dem4VtNwVY23irLQpIaenyYZQUN4CJXm9eSDJ3nms8/ywnOfI8tF9nUHzIO3FTJC22QnGjNOU777w+9huD3kN/71r7K1tUxZGhZDkdVedGGzQaPVNFNBgsbUpSbPhRnQnpHN13JsMxcvJwFd6pqaZJupvywvagjPvqHU30aGSQA+itafRKm/hnA7Pn+7H2s02mYUWtXyt+Fgm/5ggyQZ8+qrX+TFp9/PyT+xgOeIx5fnunsA65rBJKI/HhONxoZ5Kw4Vl78qVulJMiEM23iBlFiSKMZ2HeI4Is8z894VB8KptdbXDn4jvj4uvfgcZx45w6l3nOaV33+ZeJzI6SwOyPOEyWRUDwc0Ok18Mz4LvMGtoNltmMzPpT3TrrkOcRQz8JxaN7qzcouNjetsbFw3Dc0S2w557LFv57H3vectX+M3Io6cOcLZhQVxHvZk02hONcUcsh8ZDKquGbVV3dd2HVrTbTNt6tQu3GVZGmuegNZ0m2a3KT9jW+SJ1EeLrCDOMuaOz9NqTjEocu6/8OSBriTqTetVa/1JdYj1GvUEhDScTDh67ignz51jZ71X902EMyODWn7DJ2gGlGVJHMWCMJhq0uiI9byyZHzaC736VFI1F3ODELAcSYKifsTCyQU+8PhFGp5Ho9sgOuAaD1I7/DslTNS5PRMmI+DHtNafud3PPfnkbg+rGies0ItJMmbz5ibzJ+YZbKWSRRg3Xj/0ac90zISwqvkGWZqJu2tvRH+jx2BzQGeuY97siGanyXf+4FN0GyE//n0/LLISw/O820c5Symmmy3yoqQ/HtPqdvlLP/z9fOQjH+Av/eBfZjwZ4jgizcqyhCBo0eq2mZrv4oVebXVUZCLqrziw1UCJ44kcabg9pL/ZF7+wNGNj9QbKSJya7Q6PfNuDB73UPw+cB44Cfxdpph4H/jRa/+btfmg43CZNYsJGB9u2JQMsslqXurZ2lY/9459iPJzwQ//tRylMlqoch9JkdL7jMI4MH3ciDdIsyWh2Grj+KfI8Y3HxJFMLXYqiZOPmJqOdERsbN0jTmKLICILWoXCLbyeWly/xG7/w7/gHH/spTj90ihe/8BLP/87z+L7AoKrTy8aG1PC6c11a0y2a3QYLpxbrTWpqcZrpdgvfddkejRgaS5l4NKE31RJXiFcuc/nyM0RRX+yzvKDujTQaHY6c238i8w8TZx45w3SzgWPbHJ2aYms4rB2w+xuuqIiMkiiNU7pzXZMQCVWwsrm3HWnUxVFiAEEFUW+0Z3TelNCMBtZzHB4/dYpXv+sJ/tMv/Ft8v0G7M3PQy33DelV71qveZ732+5uEYYeP//x/5j3f+x4+9Gc/zN/78b9GliW0WjJxt9Q7R2dqmiNnlwhmAizbrhv11dh1pcFuz7TrJKlyOynLkuH2kI0bG7VRaKPb4H/8yR+m6fuM4piZuSkcZ/9+04EFUa31LeDWnj//p4N+Rr5vF4pSlgXaCMgtZdPvbwkb0/dqgbsuBdgRNAKUJZuv63sC9ogzeus7RH0R6IMwVXUhWfB3/cCHOT0/x6/9x89SljmKXZi6c0DD7RsRvuPgGfvzLM/xbJsLR5Z4z3c8xRc++dvESWSmewS+kxuzvWSS4HguUwb+kyUpcSRdYsu2RC8ayYY1GU0E0xf1GI8HJMnEjNxmPPKBx3jPBx8/6GUO0XoFWEGpJxGpzvccJCytXvfs7FEAwrBdZ6LV9NJotMPTn/wEP/Lf/UkcIHBd4+9m4dk2rmXRbDXAsAOUUjiuqBr6G33Go0Vmj80JLKmQhb36+irD4bbBWApT4W6VkCzLotff4MbmFqcX5vE+8DCXn3mNaDCWzcMVQHZZlkSjXv1Atw10RrJBXyYulRKG8UafNE5kYxqM2by5wdq1Vfq9dcbjociglPjaaV1g2y43b77CS58/KujwuxCe4RgUZUnouUw3m9zYkOO/G7h1VldkBVvLQiNsm/JXYsX1iG0cxYx6kSn9iQpAKVWrHABDResIu0IpfNfh2PljhEFL+MwHw/GH2qxXtWe96gPWa5alhCEsv3aT1565zIUnL3Dffe/k2Wc/w9bWMq4bYNtSy+4Ou9iuQ9iSPUK09runSFUBuuIUKxdVkbIUo50RvbUdhjsDXNfFDTw6M20C16UoSxzbJnRdGo39oV53pRu1d+PVhjamTc1cWRbb2ytMRqfpznu1brfIZN59EkywbalzKjMNU5gna5bmNeQji+UYP3tklgeOHuXpl1/hs7/6KSxLLkmXbxyfvFtRao2lZIEVpSYtCkItsqgf+rGP4gUev/Prn2BsGke+38CLA5JJTFnmhM0WeZbjegIXmoziGtxSGqeDil8xGm2ztbXCaLRDGLYMN6LLE9/5bk7PzR34Uvf8fhOtf/Kw1+j5Aa32tHT8/SYrq6/XU3yi/U25dOkPeHV1hUdOnMQ1TIfAddGOGEbOt9s0fZ80zxm1QhpdAcwUecnJB84wd3SWoBnUGcXNK6/Xo9Yg+M272TxN0wlXnrvC0genODEzw0Pve4iXv/gKO+u7E1yO4zKZjN7wuoJWyHgwptFpyFRmOKYsCjaXNyhyOc721na4+dp1NjZukGVpDdApdG4eKJYZ0e3x8gtfvmvXmNcTWBrXdphuNmvn5Up7X5bSUxlsxaRJRhqnNLvNeooyizN6G71aXQTUFMFkvHuCrXzw/NCn6fsoFIuLM4SNDjs7K/gHC1HesF71IddrhZQEePYzz9DsNnnv97yfKBqwsvIaaRob7oPD3JFFuea8wG8GJumxjSpJo7QmK4TapizQpbBpdtZ2GGwNUEpmFfzQN5OAkoz4pvx25vTD+77Wu7KaS2MxXpZlnfGWpQj08zxlZ3uFzU/c5Ikn/mht1xwbCEWeZrsks7zc49Sra/sTx3d5+FvfwaMP38/J2Vn++c/9Cr/+//wik/HAwNttLMetZ7zvZlgmw642nFEc0w58NJqLx47xIz/6UbZWtvm9T31cnC4mI9bXrxMETYpCOsdTUwsEQZM8SxlPRBsoXWSLLEvIshTHcev5eEtZzM0d54kPfRvv+s53cnxmms985TnOf2Rpv5e6d7VPDn19lkWzOcX8vBgPppOEF772u3XHG+SzTZMJf+dH/gf+q7/wY3zf9z/FkakpnMAnzQuyIkepNpM0ZZymOJbF2HWwz1osnVlibNyb43HM6usrvPTsl7ly9flao12B1O9WCcmyJBv/+M//EsqCp77jPXz3H/tWvuUDj3H15iqf+NgnGI+G2LZLGAqpLMtStlY2hC/tu9KkM5llWci6TSYxSTKmLAs2Nq7T6czx6Le8j7VfuUKaaEpd1EaSaRrjeQHr62+rbH2ouHX5Ftv331+Pe3fCkBNHFhhuDWlONaHUJHHK2HVIk4x4NGHr1hYbNzaEn1IKja2Sl1XlhepEomLFwsn7DEZAnFzuf/gsx2dmyMuSbthgdnGhdjM5IN7Weg2DlrlvZMDid37103z/T/wpfvTv/EVefPpFPv4LvyCkxZ01XnnhK3Q6sziOL83OY7M4niOmqIFfg7/KoqQsBN86GUxEGx1KgjS9OM2FJy/woSceldKR5+EZF+5zj+5PVLwrm6/cKG8clcyyWLq+ZjPu9zdZWblCa/oR02U1M9/Vf5UyFy8F/zROwYBPFs8s8cH3PE4nCLAti8/+h//MZDxAWTa2MXOUrLu8UzfYO47SZNeebdP0fbI8J0oSPMfFUhZJnjO9OE2WJShliVVMkdXvh8yexziOi0IxinqURY6ybFxXZGy242JZNiNz5HX8Bt/+J7+H8+8+z8L0FP3xhGc/8xx85Lv2e6kX2ZVhHdvz+33BOlpr0jQmy2Kc2GYw2GY8Hr7hfbUtG41meflVfuvffpwj547yPR94UjIJpVAoSnMScmyb0DNo0bKoKW7asG5Xri+zfOs1JuPhntdwZ8L8Ow3btimKgsFgi69+6qs88i0PcXZ+gdlWi9Z9p7jx3gd5/dnXGe2M6vekBjxlYnqZJXa9tvM8ZTIZmQmr3fU4M3OUI+eO1CcyzwslCy5LNLkZt7576pztW9tsjUYsdruUuqQo4fziIoPJhLXlDaNAsuqHSeF7ImHUmlIpM8i0601Yl4SQB5gfiiRUa02Zl8wsTXNsega3Qmaake00neAenBjtlQ0eU29ar7eTDeZFhlU4pu/TxFIll/7gEo9++FEefO+DfOE3T7K8/Kp5IN4givo0Gh1GowZZlhI0QlrdJkE7rCHwlcIhjsRkVU6mgsJ95IOP8C0X72eu3cKxbRzbptSadhAwf/It/YXrUP9/HM3vxX8BIfLA28fbVArci3txN0IdsF7frrLlv6S4t/nei3txL+7FNyHu3hnnXtyLe3Ev7sVt497mey/uxb24F9+EuLf53ot7cS/uxTch7m2+9+Je3It78U2Ie5vvvbgX9+JefBPi3uZ7L+7FvbgX34S4t/nei3txL+7FNyHubb734l7ci3vxTYi7Ml783d/9F3UYNjn76Dn8ho/t2oStENsWW5LpxSkx8AN8zyUvCnzXpeF5BK6LY9vkRUHguviuS2D+zncdXFtQb67j4JlxvjTP+cxLL/Gvf/rf8O4/+kTN6Hz5Cy8zGU342X/yN+4KFOBv/u8/p4NGwMUnHyDOMtJJghf6Qsr3XHzHIS9LPNumFQQEhnOrlGKm1cS1HXzHIclz+fk8ZyeKCFyX0POIs4z1waAGFF29eov+Rp/F04uErZBrX7tGb6PHleeuoLXm3/zST33Dr/Ov/M2f0TNHZjn32DmmmsJBdWwb33FoBQGzLUEourZN6Lm4toNtWeRFwTCOyY3XVZJl+K7QpJIsIy+FAJcWBZM0oSi1sZ8vibOM7dGIay9f58WnX+TWtRskiVhxf+lL/+kbfo1PPfVf61Zrmu7sFF7g0pnrcubhM9iOjes5NLpNXNfBsW0WOp36c82LglEcU2pNqTVpLsCcUmvSNCOdpGLAmRdEvYg8zUiTjNHOiDROGQ/HbNzYYNDb5vJrX8FxPU6ceIDf+q2fvyvrdWnpjJ5MRnz3H/8LPPmRJzl74SRFWfLyM5fwGz5nLpykFQRYSpEVwuSoXKlHiThdiJtFhtZQ5EVtmV4Na1XOx4D4NRrexe/96u/x/DOfY+XWZbI8pdnscPPmq9/w61TK0pZl4fsNWs0pZmaP8M4nvp2p+a6YMngOupTrwNxXyrLks94DWa/GvLXWlEVRc5kroJDfDOjMtGlNt/FD33hMiqt4b73H87/zPGk64T/+x39222u8K5uv7zdoz3SwHGsXPpxmWAaWPdwZ1RfbWpDZb8fcsNpxyAuh3+el3MCubTPbatFB3AFKjeEGYLCRNk+cPcvyn/kwvbUdmsdmyZKM1nRL3EXvUjz6rQ8z125zY2NTbjSl8BsQ+F59DaHn1XZDji0Q7obn0Q5CPGf37a/+PvRc8qIUE8AgYGs0wlKKUms6sx2iXsStS7c49Y5T4jbgy4x5BSD6Rsf00gzTS9P4nkvguWgtMCHHtuv3vjbYtGzsCjJursVSwm2IzNeTPCf0hGORFYXM+9s2RVmSFQW2Ej5COwx56NHzNKdaPPtpn7Vra0xN7T8r/3bjzAMX8Iyjg3i0OeLQa9x7i0J4u5al8Bwb33FxbAvfcWkFgXl4ptiWRVGWWFBvOqUxA3B9F9vZPWhW94Vt23iez9T0IsvLl+h2t+7KNQL0dtaYnjnChScvMHtsFqVgNJ4wf2KeMi/o90cMI4N4NdeMpeSGsxS6KMVdPC/JUiGeVVjJsth1K6824iIvCJoBtmNx9NxRxoPHyfOMmzdfIUnu1n2pzevJyQ03ZTyMai/Eyj1HXqegbJUu0eXuZ1yZptaGp7aN63u711WU6KJkPJyAUsRRjOu7lGXX7AE+S2eXGGz8IWDqb/vytcZyLHRRYnlu/aKTccJoZ8j8ifn6wnZ6AyzHphEGeI6N57rYStH0fYo9IJW9NzgIQ1cjsA6tNbZlcfzoAuvX1rBtm4yMEw+cwPXuHoZwZFjErjFULItC3AqskjQTXKBr2wSubFyu7dAOArlxXRdLQZoXOLZd37jTzRbDyYTcEJUankdRlsIJdcXeZbA1qLMLreVGv1ubrxd44ndVFORFiWNbdfYOshH7jlM/WOCNXmSWUhQGqFOUJQ3PqwlwKsvIigLfdSjKXZ+2QpdioJnnhK2QxVMLrF9fZzwe3JVrbLQb2I5VZ3ZlKQ7aXuDXTsMCt1eMk5TcbEy+k5MVBZZSkgmWJXlZ1Flh9V44niOgmsIiTcQiSVnyHhZFgWU54uThBUwmo7tyjQB+0GR6epHZIzOEhjhX+bIVubg2u75kh/LwEDRq5TauS7mPJ1ksXm6T1GzGhtXtiLuKZVvG9bikyHLAIWj6TM136dyaoSyLmhN9t0KjKYqcosgpi4I8L3AKQUUC9bXUv7eUAQZZWJSUZi1WbG3Hk+vJzH2XpblgJw1o3U2ExLjXFsrx/pAw9bcTVfqutQDCbcchnaQkkwRdauFj2gJJp9ugZZifAFmeo227xrLJxiSA6upI59o2vuvgOW7tmqu1ZqHTYTISNGWjHRI0AqHz7xNKqSvs43J7O3oSiCX4CGqSk6pIV0VBkeVkjkVWFLSDANd2aPo+gbv7gZR61+8OkFKLKb30JxOx3vYki56kKa7t1KT9sBUwHni1ncndigounaYZqZ/jO0H9mdiWHEmLssQzdtq54Rs7to1C1Q/QKkN2bQvHEvJTblnG882iQDYxy7LEskgplJLNf+bILJ3ZDsPh3ckKHdcWl94krSlWupQNtHIwyPMc27bFldhz8VzHMJzLOlMqSuETF0WBLvYkDqXZmIqyNty0LEseVuYG9ryAMGzdVQxqs9ml2ZzCcuw6+YmHEzGtNQ8QwPjoySbjhR6usYHPKFC2JdmhUjimnFjZBWVphuM5b8B/5nkBlsIyvnB+0MSy7LvKZn4zr0YjNl3VQ1RrjS7KGuwvD8K9P7/7b8jnpNCl2J3ZhtBWFoVhIafYrlPveZahKooZxDdh8212miRRzGQ0wW/44pvUaeL6HlmSMupHtLpNbN8lbIUoBcPJhDTLuTGIcDyXsBVwbHqG/nhMVhRMNRpYSm743HEoRpJlJJlwSUPPY7bVYnppmixJObE0z5Ubq4fBEH4IwdT9LeB14GOISd+fA25rUQ3G2aAfMXt0Ft/30Gii/li82hybKc/HtgQrWeHmoiTBtiziTGyVlFLkRYFrnH9v7ewA1MfwrMjrTEsgzyV5lrO5vCUlB8/BDVy89O7dtEUmtb2RJ2ahVV3etmTzKXVJVsiv6v3ey3r1bBtbKSoHzEmWSSZt6qa7/zU3RvU/DXme4wYupx8+jX0Yr7q3ExWT2WR9tV9XWUpWqHbB/MPtYb0+87CkFUjSUJrsvrJOKi2DXcwLkliA3LJJ5diOXR9/LcfGKkp8v4Ftu3ief3euEQjDFo1GW6ztk5QsySgKMcf0Qh/LES/F0POwlGKSSsI0HEQ4nkMWZ8YcocQLPRqdED/0KYqSzLhsV36DWZIy3BmRxRlFlhOb8p/YJu2iZb/xIZ+lbbvGQNdGYRnX4rLeeMtSQ5ZjOTa2ZYshpiMPRmUejJVBrdSEoSzFQd1xbLI4YzyKiM1JRVkWnhfWPoftmfaB6/WubL6ZsdBOJlKcruog42GKLku681OSaZjitO3YYlgYuMwtzNT1tKbv1+UF33GlkVEU2JZFs9Eg9CQL3BqNiJKE0HPpzu1ad5RliXtA6l+h6ZRSj2itf3TPX/0fSql9bQWqB0cWpzieK5YpthTvlYI0z7GUwjMNxEmaMEkzLKXqxsbe11pqTZxldT07LwoKczwKXLl+LekyeVq5XwgH91DuxW8j9mY6ZaHJTDlEGU6vnEbkxFJlwoDY/hieL2A2U02JPGxql5Nyd8O2lEWpzOZtjE+rjd/zXeaOzt6Va0wicdUIWwF5mtdHzCKRa7UdG9u1DcPXNJ2yAsvJcRoNKTcUuZSGLAssiJPda6yA3NV9UeQFhdmIy7yoNyPHce8asxgwjG1trOvldVSZH0AY+HV5rAqNRpks2Danm6qU4oUejuPgIEaiWmuyOEMVBWUpUPJUi69bHMXGYbwkDFrkRXYXr3PX7FUpJVl9WVIWmjIv6gwfs64tS+5byxijWmbN702H63/TscVeyJK1nxdiEFGWJUkyqb9PKWh0m/u+zruy+RZZgWuMHysX4qgvflit6RajnRFRP6IsShZOLtDsNpmb7dL0fSlVGDO79cFAso+yrJ/GjmXRN/XRpi/liplWk0kqT+XOVIssL+pscW9t54BQSqmntNa/bf7wx5AM+LZR1bWxFKEv5YI8273pqo3KTlN644jQE9g6iOuxuwe+XBZFDRwvyrL2QAtct7YnCT2P1lRzT4YmJZ4yv3s3bJFJvSzw3fq1gfRhqlJCBb9/cyil6vJEYVxIqky3NHVsYLembdvSaC3kM8+KgjzNiKOYnbXeG5ysv5GRpTlYiqD0v+7IWhaFHL3NQ9yyzEaaZFi2nGr2PmBKbR40RVlnidK0kSNr6cjJJRknpEl1+pEHp1gVvf0TjFLqjNb6yu3/3pRHMrF010WJ7ViS+Pi7tfisyEnzQprGaS5llzSTzWvPycb1XDnOV2qHUtdH8apsoSwLbUw6s0TuUdfz0enbR9nud531ejTX6zgejuPW5YCq5luVECzbqk8+VX23arrtLeeVRVnXfqvkyjbKq6LIjeOMlDgVSsx7D0iI7srma9lilFg9RbTWOK5N0ApxPYdRPyJshTS7DZpTTVxfuuhpLnW/SnIWZ/JhJXmOv8cXLPA8QqMOKMqS8Z5aXWC68kVZ0p5qkSWHfsL+GPDzSqkjiP75KvBD+/1AbjzlfN99w4deuxzEKa0pOUau9Qd0Q1FreK7LJMsoyhJX6zoTlNKEVRuAunuUBFprHMvCC32CpjjKZqnUIZV6Y5PrGxlZklIWJbZZSGmem43TwrH0bt1TKZTWlHo3i60baGWJRn99xmt+X5pSQ14UxFlKmucpGaYUAAAgAElEQVQmmyxkU9ea1SurdYb2jQ7bZDy266CK3VPE7k28+xC3TFnCdkWtU5QlWBae45BOcjGL1RplWzi2jY5TCp3X/45lFA9isVViOTaqEKeOwNRDDxNKqQHwI1rrX9nz5V8B3nnb6zQbUBonaLOJ2sbqHSDJMmlU5WWd4epCHhbjwa46wQ1cY/CqGWwNJIM2Dbn63zVZsuM64Dq1S7dtSzJxWIeZt3OdUqc1ahzHxXZNnd2We9Sustw9pzqQz4QctG2ZMhlvuq8lq3Uc2zhZ5LULS55nlKVIDS1lM5kMD/ws78rmG7Ybdb1PGhYZjmsz2Brghz4zSzP1Iuyv94hHEybNMWG7wVy3I8eULCMvC3aisRy/zQbgOQ6ObXFiZpZ2GDLTbOI5uxfZ8HxubW3TCAP6m/3/j7g3j7Esu+/7Pufuy1vr1drrzPTs3IarJMqyQlNR4FiBGcCIISAWbCRxlMSygYSJo9hwmAD5I4aiJAoC2XJkJ4EgWBAiORDi2IZEk4S1UKRIDcmZ4XCmZ6a7q7v2t999OfnjnHurmpyuetXiIAdo9PZuVZ337j3n/L6/77JyLIuU8uvAB4UQI/VXOb7omr3bD/ACj9HVdQr7tPHlOrbGegvyssK01Sk3K0u6vt9uJHlVqV8a/+36PuvdXku9EuL01JiXJR3PY7KMEIZBmZd017rE8xg3cJGPf5A4d0SzmLDfaTHnKMuIsgyjKFrmgqMf6iagEdTJ2LUsaql4u2eZEM2mohgUCkaSlfrMl6n6+lVdEy9V3Lzl2EyOjsnz85unf5KRpzn7b+1R15Lh1gBne40mUFGVm4bC9TwHx7WxHJvA07CYlFSyidZROWeOpxpVRqh47s0Jskh12rFrf8/BwHV9LGtlzPcY+E+FEB+VUv5X+t/O3Z06nSFrazv43QA39NqKqUgLcqloY2mUkixTzXywdQkt2hNvXde4vsvJ/ZMW121oc7ZrE/YCLEfR6kzbwjQNgn7I+rV1wmVIVVS8/HJ9GbbDpeZp207LHhkMNtnU2YOA3hwk0jhlMQAthFAVFdKoqSvRnnTN79qIDdPA019PCEGWDDSsVDKdzamqEsuy8YpOG+T5qPHeUM1017cWdbsDplGKaVt4oUeyTOgMO4T9kM6wo9JP9TF/maYYmmpmmSZdT5Wk8yShKEoW0yXLyZLJlSXba0Nm3S7b/T61lC0uOjucUvRDonlM2AvO/VmFEP+Sd2E7nDlx/plHXbsYL8jTAmEaVEVF0AvYvr6Jr6llgqBNbbZN63RehkEta0p909YaojCyjMBxWmql1PBDUVVM4ybGXJU9s6MZrq8ebGEaiNXhlUsNhQ8WzXuh2A2yhlptHoZQEIopBBKJIU6paKocPz0Bt3RB83SzbE78RZPoqx/yvFSlrmqeqEDEKDqfN/m4o2GMZEnWlqemZWCYJqbu0luOquTcwMW2LRxLCWSaiquBFxqWg2EKKqlwRlWiW9RVjV00HXb1YDfPh1naCJEh5coQ0hT4FPC/CSH+KfCTwLm4jGGY1FVF0A3odULKqiKOEkopiaYR85O5zirLWpaQMET7Hsi6JosVs6jZTFq+smW2FZJVVIp2ZRYa05b6AGaxfm2dIOhdZiO99Dwty2Yw2GQ0uspguIVlmYp1gWK2mLaF9S4UVFWViYdgvJb721aWElOffC2nwPU96rqkyLM2zVuIBm/+/wF2iGYxVaVio21P4ULCEm2qqWma5GmOYRqURYmsatWAKCsGmwMWoUenG3B1TTXfqromSzKiecxysmQxnhMvYia9CW7gsrEzoqdPwQ3uGs8iDMMgjbOLftzPPe485+MF5iwm0t9r4/oGXa1kc22LslJ8VYnEs51WUABgGhaGqFmmaQuvTGOlbssrhS+WVcXJckGaF8R5TqWx76Dr8+DNB/RGPYVbGQbCfG9K8qookZJ28zQMQ+Hp5mmzLS/L9kRrmeZDPGBTn5xs06Co1GbSnCIa3DfNc2ZxwiSKSPK8VYgJw8DxHWRd4zo+qfXecGDLXEEpdSWxXdX5FobiqhqW0TbdbNemE/iYhmiFFg1Xtmk+SqkhhTN7YfvgNqR9Qy3Gpevo0lcHq5YF7gX0pDNDSClz4KeEEJ8F/gA49+K6rsiLlKDr0/M9ZnHC/GROvEhYThac7I1VY0yfyJuS2jAMOsMOWZIp9kJVUaRFi/XWZUWpexmu72n2xGmFkCzTtnLwQo+trScfSr/+fs5TJUx32dl+isFwi95INeCVqo32kFdkRdtLaTaOqih1g9nQopi6bdo3DTiBopY2Kce2Y1HmHq4bYNtOK9YwDfNC5sp7svge7u8ipWT7yg2qosR2HfxeQDSNqOuayf6kbZ7UdY2ly3DDFFx95hqdYQfLNplcXcfxXcUcSFV6aKm/3v037pPMY+pasnF9g62bm4yurvPczWuqPJ5nDDYGvP6V1+HfefTPKqX8YvNnIcQPAx8A/iHwg1LKL503zzxRG0jYDwh6IZZjMYtjFlrFFmUZZV1RlTX9MODKcNjKjN84OCDJM47mC2opGQQBd+7s8Y5/oN7DO4fcffUObuCyeXOLnad2WBv2FCbeCzm8c0h/vYcXetiOhRt6f7IP7REj6IUYlhIHmFWNMATf+sYbWLZFf73HMk3p+j49z2PU7bZNOEPAIk0JXbdVven3m6PFguPFnPEy4mg85fbLb7EYL0jjFNM0GWwOGGwNNJtE3fRr2+sUF5RxjzsagYobuPRGPQJdLRmGwLIsXeFkxPOEsB/gdXzdrFH0NNtVIoQ0Sh86DSqBgeJ+Ht49pCwq6lIlNleV4gNbtoWsVQNvNjsiCHqr/tj/rPmDlPLnhBDfAv7n8y4oy5zrTz9J2AnYPTrh9tfe5PYf36Yqa6L5gnu7rzGfn5BnCZ7fpdPp4/s9gqBLGA6oqoKyLEiSBcvllCyLWSzGShgiJUHY4+bN99HvbRD2usiOx+RgShLFuL7H+pURnWGXT3zqRwm+3H1P5nll5xbXrj3Hcy99qMVro+lS8a/LimSZtIus49ogBGVeEi3mHB3dA0AIk35/nf5wRH+jz3Bz0AomqrJUh0lDiShMW3Hv67qL53Vb/Nd1Azzv/Kr7PVl8yzJXPDu92zUqGtW5zogXEUWRqdhsKXEcF9v2MAzBeH9MVVWEvYDp0QzLUVCF67t6kqflnWGZuI5F0AtawnRZVXTXukwPphzcOeCVL7+80s8shPgbwGeAq8CvA39fCPHLUsqfe9Q1eZorLFMITMvAdiwW84iqrJhZJnu3H7QfummZ3F7v0xl22NwckuYFeVG22No0jhnvj9m7vcdysmR+opgeH/iR9+P4DlmccSLV+6G4ogbJMqUqayzHVjfSezA8vainS0WjmRxM2P3OLrZj43gO97cG9DcG9Df6vHDtKoMwxNJMjlzTz5I8byGlqq755r177N05YHo4JZouyZKM/nqfweaAUtOxZodTAFzfRQhB0A/oR2vvyRyLvMBxbbzQIxyoTbSJDc+zgtnRlLKoKLKC+cm8xQoN06DICrzQozfqYdkmdSXbZlyZl1SaubP/9oHGgyvNiy3IElXeN4tEXZdkWbzSzyyl/FkhxBPA+1AL1OtSyufOu2Zn52luvHCD5SLi6N4Rh3cP8btqgTBtkyesDzKbHXFycp/xeB9ZqxOtlBLf72Db6oQ3n5+Q5ylpGlFXpVqcgz79wSbbV57AC70WpgkHIUIIFrMpy5lHd63L6MqIZz7wvvdknqP1q4zWr2r+sRJCtE3eolLNRilxPFcLltTnaJgD0jQiTWOyLGY6PVANUcMg7Idts7fQuH1ZKoVfFmeKMqiZTZblYAjzXdk/3z1WXnyFEC8A65wBux91MlScRaftKAohWnpNskyoqkJ3HS2NqVhtB3J2PKPSsEGe5gS9sD3ex3NFWVmMF2SJEm70N/psXFtXTYRAPajrG0MW4wWTgwnvvPPNVaf4l4EfAL4spTwRQnwc+EPgkYtvwzTINA+1yEsO3lEn1zIvGe+dYFgmdVlxsjcmWSZYlkXQ8+mNejieQ39zwAc//gKzKGZ+POONl19DCIOqKsiymCJ/nlCfqufHcxzfUdiv51DmBfEipjfqtRSa7/ewXRvLspjP5spYJMlwfbc9lR7ePeRkb4wXeCyfXzLaGjIIQ2W4Y1m4tq0MdqqKZZYSZRlvvfIOB+8csBgvqOuaWy/dYrg1xA1cJgcT5sdziqwgizNcT91H3UHnUpS6y9yvaRyRxrBxfaOtJLI4o8iUWdJiumy9DmbHM4XjasOcRukVTZf43YCqrPC7vqboqZNvmZfMT+ZkcUa8jFTZW2Tt4mXrw0dVVZTlatCKEOIvAn8bCIAfAn5fCPFZKeWvPOqaJ55/iq2bmywmSw7vHlEWFZ1BSF1LHF9RQsNegOeF5HlKnidkWYxtu9R1jRconwbV1DKo6wpDszRsx0XWFSdHe5hjJXBw3QDbVZu0bXtt6e94DteevfaezHPQ36S71m2ubX81w7IszVSwCfrhQ81Ev+uzGC+YTU5YLMZUtTocVUVFYaoTb5mXLCcL0jgjizNmsyPKQlVOdV0ihIEwJFIqKPW8sdLiK4T4JeDPArc5bU5J4F2bUUqvbrQd7rquWR4uyLMC13e5tnWDsqiUO1Cg9PN5oniPR3t77N59g7ouuXr1WZ75yNM88b6bWI7Nd776Bvdev8t0qnT+m5s3WNvaIIsztm5usrExZC0M2ez1WEQxb3z1OywWF5IW2h9bSpmf+aBSLgD2QTUkkmVKluYsp1G7w/bWe9x66Raz4xmL8YLp0YSTk/ukaURZKuL51tZNPvynf4BntrcxDYNvfukbVFWBbXuUpVp8P/+bv4X4J0rQ8K995s9x44UbDDb7fOhTL3H/jfs4nsPscMrGjdVMZ7SY5Burvil+x1ef32RBvEjwOz63PnaLzrBD4HtEy5j5eMF4b8zXfvtrqolkW+w8tc1f+POfbk2RTpZLXt99wGu//xoP3nzQbsi2Y7P77XsgJblecDuDkN5aF7+nHl7LtjBti+H2cNU5Xup+PTi4g+eFdNc+iu1YiuFgmchC6fcNw8DSdEgvVM5VjbsVQJkbZHFGOOhgWqqP0cjpG5HI5OCENIvI87TtgiuZakmWp8CMLIuJV28q/k3gk8CXpJSHQogPA78NPHLx/fi/+Qls12b3q99hMVYb+etfe43x+AGz2TF3777a9mRs28NxPGzboSxz3vehH+Dm+24ia8lytiRNI5JkyWx2xHI5oSxyJJLFYqLfakEQdFkbbnP9xos8cesFHE/RvgzTwO/578k8R1vb+B2vVSfWtZIRSymRhcQNFA6bJRmvfOXrVFVBVZWkaaQPggo28/0upmFRFClFptYpy7MwTIPF7QWz2QlFkVMUqVpwhcBxfMqyoKoK4nj+faOafRq4pYHvlUYDO4B2cBICU3ePk6WSHtuuTdD1NRDvUpU1e/fukOcJhmFSFjml7pYapirtDcOkLHOOju6RphG+HxJNl9xLc/qbAz5886YSMDg2++8ctLvSCuOLQoifA0IhxGeAvwr8znkXGJYC64u8oIoqqkJBHg0Z+42vvcntb3yHw8O7pGlEVZUkyQIpJTdvvMhwtKXKM81tfuL9T7bk+2gaEfQDbr54EyEUHDPZn7C2vdbadBqmwkP7mwMuwTX7NeCFVV9s2iYmJv2NPn4vwDRN4oVqfC6nSw7eOdBiD4crT19pK4CGJuc7No5lk+S5VuVZXH/+OqZpsJgsFeYpJRs3Ntl9fRcAx3MJ+iFB19fKQUOdLuerleRc8n4dDrfpdgcEvaClII121ogXCV7otXDL0e4h0+lhW5lYlkMY9hDCU9XcZEHQD+nphtPsaMr0cKZOuHWNbbs4jkfQOcU7F7Mpi8VJe39Uq8tuKynl4gwrZ08Ice5Rq9fvEC1jkmWqxEB5yZ13vsXB4TtE0bx97uraaJV5aiHqsbazxnBzgGlbjK6sk2WJblKWOK6PadrYlkNR5kjtErZYTqjrkvH4ATeffB7DNNvq1zRXlopfap6ern7bpm7DQtF+DYvpgjRdkiRLFgu1gGZZTJapn6kRZTQLseN6uuFqtPh8nufkeYrjePrzb3wsSvI80Rts8X2jmt0FfGClm1ntAmqHaYjXsq7bxfhg9wFVVWCaNvu7dwn8HsOtEZZjEQZ90jRSZYvntR/SlcGQJz/wFMIw8DseO1efwvVdrj9/nff/qfcrUL1QDmFSSvIkU2VUZ3DRz/q0lPJN4D8H/gPgZeCngH8K/L3zrm1sCBs+s2pC9fF7PrKq+b/+wT9iOj3Eth1efPGTGMJksZxg2w4f+/QPkSwT8jTny2+8qReXiKvPXGW8P8ELPUY7a3zwo8oreHJtnfGDEwZbQ/qDLvFM8SRlVWN5p3Z3K4xXhRB/B/gy0LacH9lclLI1t2mcr+6+ekd5WFQV4/0Jtmsz2llj/eo6hnnKhY2yjFp3/zNdgo+urON3PDa2Rzy4e8CDNx8w3Bpw6+YVOoMOd165A9DSugJ9H3mhx+Hdo1XneKn79ckXnlFafO254IWeMoEJXBaTJbv/6hXuvfMGk8k+SbIgDAf0+xvYlsNiMaHTGWAIs6WU+R0fx3dIo5STkwdIWXP//hvtCen69edxHB/f7xCGXT1fk6K4kJlzdrwihPhrgC2EeAn4j4E/Pu8CxTSh7Zssxgvm82OCoM/a2pX29GaaZlu91nVNGKrFd3R1HdM26a/3iWcxdaVEPp4b4vkdBT/Ydiu1z5OcKFoQx3NmE1WBNtWC463co7jUPIUhlNuYrBBCOf7VZYWsJUVekCTKH9vzAtXclJJaVgpmyRIQBnVdYhjWqTxcq+BArWdxPCOKZmRphOP6WJaDaVp64VZ9qWYRPm+cu/gKIf4RqoawgJeFEF/ijOT2u7wQ2tHs7g2gDaduP0WWM5nstV3BNI24du05hlsDhGGQJzmW7VAUKW7oYVgGRV4w6nR48f23CAchG9fWQQjCXsjo6ohPPH0LyzRacn7ounS6IetX1xmNrpz7BgC/AXwQ+A0p5WeAv3/RBc2YHSvRiOM7mKW209PUpPHBlE7Y5/kXP8HmjU2uPXuN+cmcPM0Zbg4ZbA1451vvsHf7AR/98Y8y6nSpntjm67/zdbprXTaub9AZhIotUdcEXZ+19z+FIQSebTMOPW34oZRGcnWF2xqKN/mpM//2yJIclPmLkPKMrt9mbXvI2pUR979zH8MU3HrpFjs3tlguIp6/eY2u57PUWK+jm2/dXsjm+pAoy3hqc5MrwwHfHoRsjoaErsvN9XWM9wtyzQnd6PawDINEi1Dixfkn38e9XwebfVztgNco3RQDIGI5WXLjxRvceukWdVWz+53dtklW1zVZkuJ4LnWp3M2CXkhv1FO+JkmuuJ5SaiOZCkMYLBZjFosxvtfhmec/wtrGOmHYXemBPTP+ExQWmqDYOZ8H/rPzLogSVUI3ar35dMKHP/LjhN0ObqBw3TzJqaqKxWxCliXkeUKvt053rduW7H7HJ+j51PVG69FgWTaO52rOc4Vp2fTWewy2hli2qZge2nBK1jVZsnJFeql5FrnCZi23Ob0KbRqk1h8vDjEMC9f3CHthuxGVeanZVOokXFYFtu1imrbmmit6WakZLHVdkRQp8/mJ8r8QBr3eOo7jYhgWhjAupNNddPL9gv79i+e96LtHpzNQmGA/xPEcTMvUTZQc23XYvPFphD7ZDDYHeIGHYQqlB5eSsB8qez+9GC/GC6ZxzBPr6zy7vc3BMzO+9sobeKHHoBOSlyWW6dD3AzZ7SiH3/M4Ov/jVP+Zg/5FS92bkQoh/hVK3ff67//M8kYXt2vQ3eq3iRRlHm7z+h69zvHvMrec/SH+jT2/U46kPPEmWZC2X8s2vvcHd1+6xeWMTx7Loa56y+W8YPLO1zXq3qxavum7J/FGmTkamYXDvwSGBVhJmF3OZz87nUxe/6nQYOs1hczQkznMibb5tGAa2ZfJjn/oE690uhZYGu9dtHMsiLYrW7rPxc+gHAaZh8NLNmy0D4qPP3mrNg6q65vpohGfb9IOAQid8xNMpUkqGWxdivl/Qv1/qfpW1JEsykBKv4+vvNaC33lPMlcMp0TymKkquPnO19W3OU6W+czxHNefSnM0bG2ze3OR495jumqIedYZdXvjIS1iOktY2rlp5cpqK4IUeb91OmUz2V/2x/33gf5RS/uyqF6RRShqljK6s0VvvsfPUDsvJgvl4wdG9gxaTruuKzc3ripbWDwj7HfyOjyEEWZZjORbD7TWCXsjmjU2yJCOeRUxPxoo6ato4bh+v41PmJckyxdIVgWmZbb/nvZhnI3ghK1TD31FUsMZjJugFGIayP1D85EqJX1zF5a1KFzf3WiGG7dhYjWWsEPgdnyeee5bh8Zb6/C2LNI2JY1VFpOkCx/Fb/Pe8ce7iK6X8P85MakfjLT+COin+w0dd118bYhiGspIrK3qjHuvX1iky5ffZdJIbHXhVVVSVLqEdG7+jOJZ5VpAsYiV71MbbXd/nyY0Nlk+nxFn+UBpEQzUTQtDzfQ4O7rC8uIHxKeDDwC8D/81FLz47GvPksykIeZpx88UbPPH+J0iXCb2NPp1+B8s0ydrrLNavbpBnBYONAdPxnEEQsNXvcWUwpOf7rHc7BI5DnOcEjjJbCV2XrCwpSkVtCQehgli0YOW8IYT4JSnlX32Uou9Rm0ypTaND12XU6ZB0cmZJouhkWlo7jeOHYoJqWSuMt67IylOqjxDKGOmsSX6tTchdy8IyjPZk71oWmfa/qOoar+Nz66Vb587xce/Xupa4nqXtAq22SeaFnqKMDTpgqDK6GC8Ahfd313otThzPI/yOh+XYVIWiVRqWUlOZ+j4xTHXgaE6CsaWkt6ZlEs0iHFdRuVYc14EvCyG+jWo+/aaU8tzSII1SBdt1Azy9aWdxRtgLKTbXmB0bBEGPoBvyzEeebtMbDC3gqSolnTZMo5UeO76jzIZqSRZfaT2REYLlZEmyTCiyQpvRiFZ8UdcrE60uNc9WTXlGldZAclJK3cBVCrWqrHC0GrcqyjZ95OzXAeV/YVqmrjKhv9FHGIJ4FuF3A0xrgzzJmBxuEEVT8iyhlvWFuPaqbIdfBBwhxP8A/CrwL1C0j3/33V5vuwr3qMpa4WeaBym18qdI84d2HL+jfDDzNGvLH9O2MLXyLYszailV80a7gN3a3CItCrKy1H6wNR3Xat9kyzQ5Pt69UK4ppVwAXxJCfBKYacbD08BzwP977vuiLQaFUFrwphwdbA/ojk7pLoZhkOUFZVkx3Bpiuza3//g2vVGP3qhHniozGd9xWesoV7d5krb5aM3XARhHEZPlkjxV3FQpJUWaYwQXegI0cMrnLnrh2ZHFGX7XVw5r2syoSa0whZLQFrk6xTSGSI0pTlkpL4jatsk0dNCkdviOg22alHVNqjvlAqFku7aFY52me5R1jePaDC4++Tbv1aXu1+CMBL3Icgp9urNcm8B3GG4OCAfKl2Bte03JkQ3RCi2KXHn0NhWIaVunNoZlpTjRvkOeFRRp3vrd1pVk7cqaUg0WJbbtrSyykFJ+Fvis3lz+IvB3hBBfllL+1KOuyaIUx1cbeZ7k5Gmu429qNq5vcP256wQ9H9t12k2lsZ+stSgEVMUnhGhjgpq0mAZPblzfsiRr+a9FVrRZaI7ntPzx7/c8z/Y+vtuIqfm/ppHo+o52ZdPObLVsqbF5egrPnB2GZbQG8kJL3w3dKxhuDnAXLvFiyXx+fGE88arbzyeAjwH/NfDLUsrPCSG+8qgXK1GB6pialqEtJu32ZNDgLKZp4mhxRJrlxHP1gTYTazLYkmXKLI6ZRDEd1zv1fdDOWNM4VsbeUhJlGUVVsTsek2XxZRzzfxp4UQjxN4EvAa8APw78jUddEM/j1tOh+WBvvHADwzRI5gnXr28x6nZwLRUw2Sw6u+Mx35i+jBcq85+6rlWJur1NWdXcGx9x784+3bUu22tDsqJgPJ0zHy/aE1Q8j1m/tk4WZ5RlhZGf7xIlpfwj/fsXNV2ng+LAmsCTPKJUT6OU6cGUk60RvuMwDANGnQ55WarASCSWoaKS1jod9XlEEbWUjKMlZVVhdDuqcilLUu354FgWju9T1eqUfNblTIWiVqRFwTSOmc8V93X8YGXa4KXuV9d31IKJavQpqExBXl7gcXNjRC0liyQh6amg01LHRJmWQVXWdPohxw9OqMuq9WwwbYuiKEiWCdtPbWOfMWovC5V2Mj+ZEy0jsjjD8wIG/Y1V54hQX8wGHFQ1c24tH83jNo8unsctvNJd69EZdlqpsJSS2fGcSHPtvdCjt95j2O1QVBXLtS6TgymGafDWy29RVxX9jQHdtS6DzUErxR5dUVmKTVBoY6heZKdGS9/veZqm0faZGhOdRmkI6LggqU/BDkKZ5inIoapbHweFAxdU5WkKRl1JHMfE7/o4nkPYD1lOl2qTNQw8wPYcwn6AfeheaB606spkotbxPw/8tBAiAB7pFFzmJY6nyq8szhCGwWI8pyzKtosMtBZvQggsDYg3H0qZF0rCp0vbNMvbB9M0DCbzGZ6tE5B1hpgpBMssxRBKVXXJ8RngT6EW21+RUv4XQoivnndBskwoi5KTByrepqMtLBsO69F4imEYdD21YURZRl5VzOKYVPNETdsi03r6Uid2AIwncxbjRWvLWWpCf5PMXBbKDLs1valXEyAIIf4BKr1jDXgNeAn4XR5RljcnlGWSstRy4bVQzadJ4wBaXBr9eRaVShmpXWW208itG7vIJhQUwDINLNOglsrWsKwqKimJ85x5kpyWy/7KHfJL3a9FXlJXUmF8vt0ag4NOs6gqHJ2knWl5aVVUlLJsT7uGITTspMruhkbp6KQLWdUYponjO7i+q7HQhMnBlDRKFfbrBitnuAkhfgH4t1Gd/18B/ks7OcsAACAASURBVLqU8txuXYN9Zok6fXbXumw/uUXHVcb+x7M5hW483Xn1DtPDKY5rs/3UjuJanzHLb3LphltD7n37HstpxNr2UKnb2o1MUbQ6WiAz3h+TJZk6ea5oD3rZeQrtSiVrSS1qRC1alokwjbYHZTlWq8Jr1iCjVvBDnikP6cYU6Czm21Sy2OAKnWKiq4J4FmOhNoBGjXveWHXx/T+BPeB3pZRfFkK8yjmsAMNUqQeVLsXLompDHt3QozvoYGnMKAhcDKFMWRaGQZkrCWc8iwn6gSrJcsV7jTbUjZ5XFW8dHuHZNpu9Hh3PwzIMHTlfYxgQZdn3qFsuGIaUMhFC/ATwt4WyJDrXij6KphiJ2S6Ktmuz/84+spbYjs30cMLJ3pjeqMdofUAtJdv9Pq6tHvD+eh+/45PFGaZpkOso8nEUYVgmyTzmhWefYKuvzEHeOjxkuoyY7I9Vd3aZMB8v1GnFWpk3+WPAs8D/AvwCSjn08498Uwzl9pUlGXGek+Q5MgxUnpysyQolIW68lfOyIMoyTpZLTO1z61hW23w7Xi6ZJ0lbBUgp24Rjqc3kG2/fRZKwXKiNynZt/Asc6s6MS92v6rR65gEzROupXBUlizSli3KfW0Qx8+M58TzWzAFVijqujeO7iq5mmbo7rpSZTW5Y8+A2qdOgqFd5mlMWJY7jE8eLVef4BvBhKeXxqhe4OsHX8Rw6g45qvHk+uc4ITBeJUngdz7j37Xt0hx1GV9fp9JVkPC0KZQ9qqew2N3DZtkwW4zl3Xn+beLlgoJWKSkBjnWE7KRpeu/iu7gN16XmCwvGbIEwFDwgs7apo2VZ7wm0xYv17GqmQ3+UsamElL1SLrDDU81AWKrNONeA86kpSlmUrZa5rFbN00Qaz0uIrpfx5IcT/JE8B1D993pthOTZCKPih1F1gy1ZiBDfJ29IOIPBc0NheXVZMj2ZqB9EJqmVekCxLZsczpldjiko97F3P4/bhIbM45sWrV6m0e1jjIjZLkvaGX3H8jlCmHTEKdvgi8FvnXZDnqRJ95CWVoxbD493jlverGimqN/C+p59Qp8U858FkogUnatE5eaDeSkPjho0CTBiwe3zS5qY5lmpWxosEwxRKVTdZ6kiblcn5D6SUhRDiNeCDUsp/LIToP+rFhmWSZwXxPGbW8Qkch81eD9s8xcNs08SxTLKiZBLFTKKobcB1PK9NYA5dlwfTKQfzWbv4WpqGVurGWqWhh6wsmScJ8SKmyIs2+nuVcdn7FdSD1TZmtHGKlOoAkeQ5hhCUdc30YMp4f8xS+9g++YEn2hyz6eG0zQkThmjtCxsPANtVD2SRFW0zxtDhjWVetp4CK45fA/6SEOIh+Og8zLfZ6EFJaS3DZLKMKLKCIss5fnDCZH/C8e4xy/mMZz/2LDeev44wDZI0oy5r8jPOZmVeMN47hYLm8xP2bu8x3B4SaqYTnCY5N5vSJU3xLz3PRlABTY6gOGOe/u5JFaAqWeXyFp/+35kFWtZoe0xVHRimoX1lDISh3t8iLyjzEtM0qC84EK3acPuXgDz7w2pc5JE0rKqqkZrcLOuaSTltIziQkqAfttp4FYWjCPvRdInf8ehvDvBCxb2siorZ0Yz9B0e80elwc32dg/mM5XTJ3dfuUtY1W/0eHdej5/vUupN7CeEBUsrP6hJnV0pZCyF+Rkp5Lmm9GYvFmKLoEJad0wSP0iDoBqq76zlMo4hFknAwmbL/1j7Toym739nl5PCAV1/9PTY2rnPt6rM4rkueZTzz0ef4yI99hOPdY74WpTx140pb8vkdH1l7TI+m7L+1RzjoXCYu6b4Q4mdREs2/qz/TR3brmubK7GhKnuYs1pZ4elGVUtLxvBZrf/PgkGWatlUHKDhivdslLQrGUYRlGCzTjNcePGCWxGz2eni2OgEr/DcjL9VJbHw4UZlqlpIX+95qRuOXvV+zJKPIS53OoJgVrueABZH2jwaF8b/9zbfVvAcdusMO8SLBcpQpz5VbO4z3JySLBMdzyFP1IIYD5S29mC7p9DsAbSBlA0PkWcGDt99gMll58f3HwD3gB4F/AvwE8Ehcu/mejU9vPI+JZxGz41krld79zn2O9/c5Pt6lEw742ue/wqu/9yo7t3ZwPEeFHixTyrwgS3OODx9wePAOw7Vt+v0N+v1N7t5+k9nxBp1Bh956r60e1PfXiS+1xFg9DPXS8xSCU4N3zbJoeiVVdco3xjlN90iWCbuv7xLNImzXZm17TR2gTFPFdtkmwlBfN+j6mJbBchq1xkpu4GK7ym/FcW29/pw/sVVhh8+d+bONwtImj3qxAtSFAqtb7Ey2Mcvzk3n7766vI+PTnHgegVDd48n+hOO9g1Z1s/XkFp1hh9uhR1lV7N490C5SNccnU2zTxDYtyrqiPhMptuoCLIR4DiUpHp4tRR5FzAeVuSV0VzvT2nC/4ymVTSzbLnHQDUg1bWoxXuB3PMJ+yPHuMVVV8OyzH6Oua+JkzpVbLzK6MuKJ999k1OtSbioY5sHJmPV+D9My9SkQ7Nkpu2NVzBf494A/J6X8ihDiN1Dm1P/Ro17c3+iznCxbHms8jxlHEUVVYZmKAWHqslVKSdf3VXP0aIoXehyFIR3P43ix4PW9PY7uH7O2rdzJ4ixnkSoVnCFUjNQizciLgkWaIvXnaNgm06MpySJW1kcXj8+d+fOF96swDPI0V/BALR+K/67LijTKKMtSVxklQTfQzl0200O1AbqhxxPve0I95FrJaWmuqGmZJIuYulJufG7g4vpu6yEsJbqMNS9TqV2RUv4ZoSTxvwH8XZQA4ZGjyVBrmAhlXjA/npNqye/JwSGTyb6q6HoW0+kh0+kBb7/tc/3aC1S18kqIYyWZjuMFw7VtNjZuEPZDkJI0XRJHM6qq/J4TbuObEfSCh2hd39d5CqG8pnUVZdmnn+VZvxl5BheuipJ4oZrnDetq9807+H6I3wsYGkMMq4keMvV9Kdr7AxSmb5oGODauPPWQOG+sCjt8dyf8t4UQX0bFrX/v62tJpekbjWFxVaodx9Cn2OY472tSe+Np4Lg28SJhdjzhrbdepihyup0hjvcxXF8164aDLu977kmysqQqFa68TFMCx6HreepNti51IwP8JmqXXdl0xvNC5WSEQZbFpGlElnRwfVUiTw+n1FVNd9hhsYiINabWX+9z5dYVwn6omnY6xTmLMz786Q+zuTNioAUJOxsjqqomnsXEvtdGjldVRVlUbXl8EYgmhLhx5q+/p//+f+tfjxymaSpDfI0VCgGHJxPyfpeu55G6eYvPDoJAwQeyZl+7lh09ccTb1zc4fnDCeG/M5GDC9eeuK6HG2hCpT82h61LqSKWkKCjrGtuzW+rSq7/7Cgf39vhrf+HfuvBzuez96gYuVVGxmC+wbMXzzXVDva4qltMF8Twhmi3bLLIG27P0YSJ++4AsSvG7ygzI9R2KXCU5TPbGKmS141NVNdEsotCN0iLLydOMPE+UGffq1VqzmbwOfEhj2xdeJIRoubdFmjM/mZMsU6J5xGSyRxTNcByfXm/EaGOHfn+D5XLC0fEuRZGqVJp0SZ6n+H6XjY0brG0PWzVrNB+wWJwQxzPMsfVQSk2RqnupM+xcGKv+uPM8Cxcgddq3zm87e51U2ASFbq5lSdY2l+fTiJOT+5imTWc2aNevMi9Pkzm0eZKULk5eYGmsH0Mgpd0+K+eNVWGHsw+uQHlrPjLHu0mvUEog49Q0utCWbLNIkbKTDMd3CHqKaD7aGeH6LulSLVLdYU8R24uCnVs7PPXBJ/ng+59hvdtlEAR4ts0zW1v89h+9zGyywLYsrgyHWGc6mJcYUynlf3uZCzr9DkVe6g6y36a2+t0AP3CJ5hHJImZ2POP+mw8Y740JByGjKyM2b2ww2BpQFRWmbbK1NSLOM2zTouN5bYR8UZXsbI44ms6I4kTFXZsGdVYwOZgo28XVOJNfpLGbUuO7n/Kn3u2iL/zaFzBNg2c//lzbZHF9l3kUE2VZy/udxTHP7+wwT1Our43wfshh//4RyTLhnVfukKc5/fU+N1+8wc7OBtdHI0adDlVdszseU1bKl6OSasN2TFNbECru5R988Z/z6mu/B/zihRO97P365Puf4OjekeamK/8Kq1LwUZHlnDwYU1dVG4Pl+oqnGmourBe6zI7mHN074t6377XlZlkWFEWGZTnKHSwvyY2cB8cPWrghWSijm6qqGI/3qVcMlgQ+L4T4deCzwL8QQnyEM14d7zZsVzGQpodT4nlMmRcsJkvi5YLxeJ+jo3v4fpfRaIerz1wj6Ab4HXVvfeNL32B//y2iaI7r+mxu3qTXW+fmizf0aVCSLhMsyyTwe8znx8xmR9i2i20rS8narBQrQFM034t5NjxdN3AV88Y4E+RaVRjVaSR8lmQky5Q8yRCmofw97CbluCbLYpbRlHtvFYRBHy9UJ3YvcHH0QbBR8AkhWvtbFQjQ56JEqFXP/s1JQupfx8DPPOrFQgitdxatyKExLam0aUcTH9TwHd3Axe+ok53rO4SDDv3NQStDfPajz+L4DmVdtckIZV3hOQ7DUZ/ZdNGeGgwhWv/VS4z/XQjx36GczM76ATwyzUI5XmVagmhRZLaiLNlWa7BS5mqHbFJew54iUJi2hW9b+v9VaKRjWaccaMNQHrip+vdS83ib0qnSEs1qRY9bKeWTQnncTrXy678Efhj4I1Qp967j/u279AbD9ucyDEHgOkRIJRPVEmBDCGZJ0kYdbXS7eE/YGEK0vhu2qXLPhmHYBoqCwoWXaYprW+RlRa3n38y3LEqKMl852ZdL3q/xIkFKmJ/M2we3wbqlVKdfr+MrY3dDp1e0KcYWfjdQsUOOhd/xmB7NiOZLRY20nDPcXkVTy9O8rQgbzqkQgtnsqE1/vmhIKf+WEOKWlPKOEOIngR/lAoVmE5Pe+E5UlTIXT5IlabLE97sMh9t0Omv4HR+/42G7DoYp6K8PqKrr9PsZVVUQ+D16wx626zQ/D5Zjk6UpZVVg2U3wQU1R5Np4yEFcog/zOPNsgi8Nw2hhj4dOvLVUzdVaWZg2fSchhBK+aI1CEHSxLQfPC9t1pTHYD/qhlkqfcpXLoknm1iGxrnPh+nPh4iuEeB745Ls8sF941DVVWT1kcdhgkiqTSyUxGJoMXWQquaAqSiwd1IchcKpae6MqGGFtc0BelJwslgyCsFVSWabJleFQa8q1OqW6lHa8GZ/Uc/vkmX8713AmTwuSZQpaLWMYrrZTVDhipx8SLxJFuVsmrZKmzEum0VQt0ppyJGuJa1lt19/S6q88yUiqhGSR0B12VPxMUVKWZWvYLav6QsxXCPEzKOe2UgjxBZSC79dQnN+/h3Jy+55RFjnRQpmJ181mWSs1Wl1WZPqE3mwWzWjikhqFmu+4KmxTNJxeld0G4Ng2SaEoas1CbshT2Mp2bG3LePFp6XHu1+mhbiaeLLQXQ6flU1eliq+3bKt9qBvCfROtZDkWrucgtJdDY+7SQBNSngZr1nXd8ktBNcEaPDJJVqaZIYSwgWeFUmYK4AT411E0u3cdZxVc+mso1VkWk+UJnc6AMOwreM93lc9FrRWmVU13MKCuaibHhyyWE9IsUinO2vqzgb+qssA0LECZixuGysVrotfLonzXAMvvxzyLrGjlw80cm0Wxrmo4w0Coq1rfYxJZla1pju06VKUSXLiG3y7OtmO1G2+T0mMYpwnHDYVOmALLsVo8+FHjIlezv4467r/bA/tLwF96t+uakkJ5YGrsVd/Apm1q4YBopbF1x9M7R6bgirKh6xgYhtKWG4ZB6HvMZguWaUo/CFqfANey8B2nDW6UUpIs08tCDx+RUj6z6otBnYjKsiBdqpO9IlarD1rJZoSO0Dapylrhe1rWmSeqG+qFLkEvVBFLtkWa5RzOojZttYmjkVIShD7RMibPVBe9uVlWnONPo3x8Q+AtYFtKuRRC/K/A1x91UVWXCuPLCrxQn371YlvXKs3Y1IKJvKqwDYNKqg2kHwQtplvVNY4WYuRNkqypkntt08S37YdI6ZVUXMpaL/rK7PpC/4rHul/vvnqH7lqP3npPs2sUttdEUzW80KqsyAvFya0qpdpsGsZKWaWSbcN+QF2p7L4yL9oNq9anLL+n+OuWo/xhLcciyy4Nk/06sIMSypw1jH/04itlu+gbloFBs4CYrSUi0DbkJoeKdna4f4/lckIY9hHCYDzeI0mWSFlzdHSXTmeNbneNwUghO5atT32FspYVwlQLsF74Kx3J9F7MsxEdNZ9ds/HVRt32S9R7oZr8eVao++yM6ta0NR1ObxYNZc4wjRaWqMoa0wIptJEP5SmX21JNufoCFd9F289/yGM8sGWuY4Isr7VyA1ptOKiTYRN7XhaVbjipU2RDQPdCj6AfUJc1x/tjBht9rm1t4NoW00gl/TYx5Ju9HkWljv7zJOGtl29/z/e8YLwiLpnycLh3HyEM0kRJFsN+SGcQtuKSWnfO/Y6PF3jce/0ee7cfkKc5B3cOSKOU2fGUO3e+RZ4rR/xebx3f7zAcbrF+bZ3h1oCqrNm6ualPUuoDboj+oJgk+cU3cyGljIBICHFbSrkEkFJWQohzgcYsi4mmkVYqVSyTlLVupxVPzJOk3SyAdnE+mM/UBqP9KRpzpJ7vt9SyoqpaIx3Psdmy+6R5zjJLqcoKwzSYH8+pqpUe1se6X9MoQ5hLNq5vaPFEQTSPcX1lghP2QwUPpTn3b99VrlXaQzkchGRRqspzLbZo/UhqdbhIkogiz7Adl06vT3+9j2WbOjZpiqk3IcMwsayVVXzPSymfX/XFAItGnm4om8umVO50hjiOijGaTg+4f/8NvvrVf9a+51JKNjauE8fq+uFwi7XhNrWsuXPnFXZ3v9M6eK2vX2N9dIVub4TnhpjamLwoUgVB2rbyxlh9o7nUPOtKaitP0Roa1dpFTkrZNuIVwyFpOchAe8qPlwvyPGvnH4YDbPv0c5FS0hv1EMKmLJQ/hmka6qTrWMoPWZQPwRLvNi5afB/rgW12gCzNtUrEQAjZ8lTPRkubpso4a+KrTdtqT8tCCFxfpTY8ePM+B3cOOL4yojNQNK3B1pDrVzZbhZurpcizOGb/7YOHdvoVxvPA14UQeyjtuFBTke/aiAJFKvf9LqZpURY5aaxoNLKWlLpEriuFaTu+Q6cfkqW5asy88Q6WZWHbHi9+4AcVHiclN168yWhnje5aFy/0WoaEF3qK6F7VrVJIddNVabxCGXcWl1h5RxJCUFWKilOkOY7nKKywLLEMo3Vey/OCg+Mx0Twm0Q3Tyf6kVfJZtkkapSTLVOviAzrDLrZr0xv16AY+lmniWhYJUinnLLUoRbOIsixWeWAf63595mPPEM9jJYTQ4ZlVUVLZJpatNs80TjFtk+c//j6ieUQ0jaiKkt6oR6rTO8Z7Y+panaJcV/k8YwiOj3eJ4wWbmzfo9PotJuh4Tlv6ZlmsS/SVKVi3hRA3pJR3V72goYCCwiizWPGxXTfAcTyWywkCQZIsmE4PCcM+gd8lCPs89dRL7Sm/cTmTErrdNU1JU9Feju2SZhEsDDw3pMkyKwptD2DptOZ85ZPvpebZ+vMWpYI5tCOZIj+o6qNpuJmW0YaaZmnObHJMUeTUdYltn4p6mszJhvsYTaPWJiGdpQp20KfjBlpcZVz0ST/WA3s2OE64ouU+KvcftUM0DbHGZanM1Wkj0GmqjYpkejQjTzL23t7DsiyuPXeNjesbTA9n7L9zwOHOIR/6+Av0g4DQdUmKgr3JlN27b7QL+IrjM6u+sBnLxQTTtFXgYJEiUiWFbmguaEJ5VaoFs7vWpdifUBYlH/zhl1QTJ3AJukEbPRR0gxYHbEIkm1InizP1vhlCpf7GCab1sOvZOeMZcepXfPbPAnj6oovTpcKuG8w6yXMC18GxbUUxqyp27x7y4M0HHN074ujBPk++cIudp3bYeWobw1Jm8wd3DviD3/oDDMNgsDVg49o6N9/3BIHn4tkKN4yznCTVUvIk53j3qPWMuGA81v3aHXYIeyFvfeMtRTuKM9XlFwLDVCYxHp5uttnqc8wKFmOVZLy2owxk3MBlMV5gWSZdHZC6//a+Mk7qrhGGA6V6s4wW6y8yRUebz49PT6XnDHFqCboJfFMI8TIPN4gf2aOIpss2z6wZhmG2zcXlEnq9dUbrV7l+/QU2t6/RG/XoDEJGV9bbxN4m5w1gejRkMd4k0aY9RZGymI/J8pS8SHGET12XD/H98+zijfRx59ngrLV2RDQs1SRGbzoqk+/M66taeTnEEdPpoZJ/uypE1DTt5nupz8ZUWH28WFLdUe+F4zutQyNomm1ZtVzx88ZFi+9jPbBxNGsXhbp2dTmlOHBN5HgWZ1RVzXB7jbAXEOiO8XhvTHakUl6Hm4qM7wYun/iznyDohTp6fY1nt7ep6pqD+Yw3bu+SX1nHdxwWccznf/XzvP32Ny6Lof3oI/79kRiaH3R17tVpE0MZtKjTfl3V1NDGofc3+gjTIItShGlwdPdQ0e70B5enuXaVgu5al+HWgOsvKNaUlJLlZNl24xfjBRK1gdV1vQq88hOXeTOaYQiFB776ta/jBi5Xnr4Kek6p59DzfHYGA7b6PSzTZOfJHbIkY3Y0Y/PGJtfXR1xfW8OxLI4WC8znbjG6MlKx3NpoxnOd1hzpcD7n8HhCGqUUadFKPhts8oLxWPfr2998B8d3WE4WHO0eIgyDaOrg9wI6ww7rV0YEPR/Tslr7xCIvFcw07FAVFdFs2SY7p1HKwTsHila1XLRBr67vKjOa7TWKrGB6OCOaR+ztvc2dO69gmStBDp9DmSJZwOGZ+W0C58rj1nZG7L+z35o/GabRYtWyqun3NwgHak5lXhLPYyb7Y8Z7Y+6/+aA1pZkdT3XMekSnM8B1A0zbxPcd+l6foNMlT3PNfV9SVSWWaetwyQq7cBAXV6SPNc8mxftsP8RpmSvNidjQ8zeVJ4feULuDAUWaU1V1m1DjhR6dYae9puHvH98/Zvf2O2xfv6ZO8x0FadR1TZ0pK93qT9Jw4zEf2CxPIE9a/Mo0TUzTh0q2TlzCUE5dRVYoM+vAZbg1bHGpoB+wcW2dUoPzk4Mp8/ECd1+l9Tbm3pu9HgfrKr0iLQre3j/gjW99kzxPdZdzZWrL2YQHG/gRlMfDIxdf1w006Txqv1eR5YrQbWjnppoWA5ZSxc0UeYnlVAT9kCzJONzdxwtCNq6u01vvEc1iHN9hsDFoDV9s1yGNTul0jXqwOd3L6vxS512EBysNxZM0mM0OOXkwZuP6RluWl0XFbJDgOw6mYbRCCdM28UKP+cmcN5OMt/fVs9KUuY5rk2vFnOM7rWdxWuTsnYxbOW/TO/BCD9t2MS5ouPGY9+urf/gNwrDP6OoIN1Cx71mWwVKddMuiwiprLOf0BCUMQZkXzI6m2K6D1/HZeWqHxXhBPFeCmnget3H3zcLr+I72K1GijSRacnh4lyyL8bzOKhaoc5QY6K80n6mmSP5lVGLzI0dZlsr+UFedZz0OpAGW9l4AWjpjkkSUhYr2SiLF2V8ule5BSqn9TSyEcCjQvRzLVJuQTjiWsgY3wJBG2zS17QsVYI81z/b50MY3VRPAi3peagnSUJFPhmkgDLv1ewDVOM90wkjzTBuGwOv4OK6NYZmMro7wQo/lZNkG2ZrWKT8YaNW3542Lkiwe64HN0oha1oThQMek21hWjaV3hiIv1Q+XS5aThTol6nwwL/SQgdTlt7rxZUPRiorWGKSxHgxdl6vDYZsX9trvv8bu7uut6c2qQ0r5V87+XQixhuqUP3IIIXAdjzieIYSBaVqt/aEj1CnfcNTcFAXmVA6cRilhP6C33scNPTr9Dju3dugMQupKIsR3wTdCPLTY5qniaQpBa1L/Xg0hDCWvnS5JowzbTVs+5Umo8Pa+tsK0TJPKUlSceJ7g+A62Y+vP2aTTD6mlVM2OosRzHTqei2UoR7rZ4ZQ8yVSOWqW4sEEvVCGFFzSjHvd+PTh4m62tJ9myNrEsiyxJQUqyOCHzXeozVcVZiWpjmZqnp7aeVVm2tKrG17bWar3mtBUvEib7Y2ZHM8bjfU5O7isa3WrQys8BPyml/MKZef8tofLqfh7lWveuw7KslhfehB1InSxe1xLLs9T9VNWYtqpKjLlBnCyYHxxrWpb6OV03wLIdgqCnbRlPy3PHU+kWk+OSuq7a57AocpASw1wJ732seaoFU83RKEWrrJVSMx9qiTQNRH1qrH52E1JJ2RZ5mtFEz8haNScb/nd/Q7kRhoOQ5USrHnUsUV1L5QlhWxgXCElWRvcvM2LNV6zrGsc5jUZxHBXDXJaKdG2YJgd3DllOI4JeoJprDX/OVF1KL1Q832getRQ2v+MzTxO1s8lam7PY3J9M+NVf/AVmsyMsy14Z+H7EWAJPnveC5z7wIeJ5QpwsKIqU5bLEcTzyvE/QCZWxtG1iVILFeEFVlAS9kK2bW+r0L4RqrHV8wl7Y+gBYjjKRKapKcV6FUBznB8dYjk2e5jrh2WwX3T/hXB85LMumLHM8TynzLMdiOVm0uXV7tx+wnCzYuL7BzfUN5dNb1wxGfZbTiMnemDj06K11qWvJ0f1jju8ft8nTm70e24OBSh5ZzNuYmyxRNptBL+D689db39X3YkwmBxiGxfp4G8d3iJeiPQHH85gsyXEDT5unm61zFUI9tA19MI1SyrykyNUhodRmPV7oKRZEWZMsYk72lCVoUaR861tfoiy1ufhqMNnw7ILUDCnlPxdC/PfnXdjETlVFqTdPrZYsa4RQnOPGVL6J/OqP1jBNm6JIybOUWlYYhoXjuHQ6QwZr6ypSSHNdHU8p+eJFQqWx3rLIMA2TolR4cRB0CYLuezLPJFnoxt7p81+kxUNvbV03fG21nlTGKU3QC70WFo3jBeU8A/+yhAAAEEFJREFUQwgDx/EUU2Wjz2BzgO1YWENlktRUp6VufHeHHcJu8LCJ+7uM92bxjRc4ultY11UrmRRCtLHUFRWmNClSm0wvOoahfYDzXLlLhV7LrWuSRoVQGnmBoKqVn6zdVeKEu2/eZz5XxuZV+z1XYzuIh7PNBEpu+/+cd81zn3ie17/yOr7foa5V/HQcL9qfs1t2FaHetqgqFQjalKvdtV6LS1mWKkctS1HvLM1RrKsaYSmsU2r/i7qSpHFKVZU4tte+Z4iV+0uXGqZpU1UV/f46V5++QtANWIznJIuEoBe0mv66kvQ8D8dUTJWyqvA7PicPjjn+/9q7vh85sqv83br3VlVX9Y/pnt/2eOwdx5usMbsxa3iJxG5eogghtAiBkJCIeOAviHhAQoCQeEEob3lCiQQICQUkJBIWEGhD2Cy7qw0k4JjEydpr79oeezye7p7q6vp57+Xh3LozXrHzY7ODhdKfNHLLo2rXdd8+de453/m+e49w176frhV6S3NYPreMU/N99NttdK2jBQAqSeQlqqKCH1LW3O630QrbSP1D/fg+5BoFsizB7s4YxigkyRAr8VnwkFNQnWSuu91qh+700WR5wJ5oTTO51gxl7G8qK0WsnnyaAcZgc/OmcyvmXNifQ+u+kjHmmff5YzHa6P5BF9IUmth3pKYsV6mauL6COz1iz2btNK0p0Z7ruHJTkeeQfoBWp4VWuwUh+WMUroY3y7m0CZfnslHGGASXGKwOTnCdGnW1f4pQ762/UTnzGKDZ/oto+s2WEBrt46qiENmK24h7JKhkjKHTqQcnDQvQqUgIgagbIwp85OGBt3kywXc8fohuZwBpQihVo65LCBlYPiNtLqUqaMXheQIilyh4AeELxN0IxtBGjboxTcTYMdRmod35Llq+D79xuShLbI5GePPv3qRAfzyWAxgpmv0J4GKEAXVWP3fQdVGnZQXhe47iMp2OUVUFOOeoy3kyTGw2vN0EqtZ22IQhn+6J8mttIKXnTEG11lBZDdZiLrMqrBiKUhUgQ6cW57ODP+gPC6UqlGWGU6c2yOxRcvRXBqT5OpxgdWOFWB02K22HIaQQSLIMp9aWIHwB//4QZV64YPXUxXM41e9jEMduWKZWCqV1k50mNLovAwlP2LHdqAs/ObKN0LEQRT2k6Qi3bl0lNS7GsLi8hiAk7m6eFginBeoO7S3pC1djr8sKQpDmQ1Ojbo6vZUb1f2FFxYs0x+jhEIwxbD+6izt3rlt6WTPowI9SKvsGyB7p9973978D4EDnFRhDtDnb8KVSFv1K62Y8ds+lt7FIkoFE3ItgNJy6W6NZ3Ry1GwEkrSmj5vYh7Hk2KO8roUk/oH1zQus0dsiHw6CqPDd4AcDd1/4fmrb1HCkA2iCMAngeQ1VSTbjVDhF1YxLNauhkGq6cxOx0W3ehi5X+HJTWbvT6g3AiwXcyGQLGYDC/iqqqUVWFK7AL4cO3r7VRMIYacKpRzrK8XqDRTmAQtaB6i7WB7i500Y9jcNuBnBQ5rr5+Dd9685+O0kV9DIyx3wdNRQHAS8aYf2aM/RboQ379oGtvfOcG8jS3fN0Acdyz9tEpJgnVf6Ne5JgP0ySDJ4j5oWtF9KtaOw6pxz3IUqLICqhauaYBAKu9uouqKFFkJVphx621GaU8CVRlgel0jMGpeVKoYgzzNmvZenfLcbnLnEwwueehJSW4pU21fB/LywOq6Wqq0Z8ZzCMOAvhCED2wLFHUNSZ5jsw6RPhh4LrUQRQgDOPjOPseC53OAFIG2B0/JE864SNLJ2i1F+EHEnmaIx0Tt3OwOoAfBvA4J+unqoYMSZMj6pKAeDOBSIYA3DUY0/EUVVWgKKZ49/Y1pOnYngYp623cMw7BbwN4mTH2OZC1Tg7gp0CMgF848EobVMvGYquJvJYaSU3U2tkN0XQm0R8bh2JecUfn8uw+LvMS9ZQYPemI/OjyaQalKscTV6rea0YJH/2VQzPfD71OxjwoVbp/r5iScA7n3PGLueSUDDlxdb7XV+Eewk4LYadFbs0ec0JIMtzTsmgm4hq0OhHWVhaxOjeHYZpiGh4scXAiwTfPU5RlhrLK0enMI/BD7OxsIgx30Wp10G7PgXyVPBRFhrIskOdT1GWNdi9GyOk401voEfUlaqGqaxQlzW23gxCdMHROCH/0h1/C3//Nn2N3d3uPDA3YGtqhtdBfB3ABwCkAf8AY+zyANQC/Yoz5x4Mu3Hhug/SHC6LQVBXH8tI5TNIRkmQHm3feQZpMEHfaqOsaxTSDHwToDLoIIvrT8zzcv7np3nNhbQFGA1VZkelot0V6vm/fxfrFdXDB8ZUvfhnPXLqC8588j5WNVcTd6LHM4qPEzXf+C3mW4KmffArGUDYaxS3EF9awsLaAa69dQ12S08jayiI+tryElh/CY0AU+JCDgZtwq7UGZ+Tv1jStsrLEwyTB7e1t3Hj7PdQ1mTE2ddJOhx6yH794GXfuXD+RNX780idx99YtdDp9TCYjVFWBR9t0CGp3e8jSqdMKWVpfcsJJQlrxpKpGGIVIdhLUtURQK3pw7Jv5Hz64h93REFWV4623XnYNYc/zwMCsEMzhMqjGmIQx9rMgds5l0Ab/ojHm1cPW6VtTy85cB9sPHqCuS1RVAY95ENJHcT9DGMaYW+xbjzYJj5dIdhLqWdQK2p5O9gedpqGsaoXx8BGSZAdlmUNwAenvnX6bMsRgeYD50x8oMvcjrdOXIQxoaKWuS9Q1fW6cS6ewVojCDX819WppeegNhE+6K03TtOnF7F83sZAktFKQgY9PPX8JG0tLAIBASsTBwYyOEwm+AH0gk8kQWiv0eksI/BBlQcdJIaSlp1DzjcYPCzDGkU1yyg4lTXE1dRtjSI5SSBKc2c3ovRhj+Pbr30Sajpr/kePeamKM2QSwyRj7GRC17OeNMYcWUX/5My/g6jMb+NM//kuEIamVlWWGKOrQ+u09FXkK5nlQqkI6HSPLUswt9dz8eZGTf1ZphyqaGqExZGtel+Ryu/b0GlrdCFmW4Mb1q1ZXVOH85fPHXfOR0dCKmroeFxy+EPAYQ6vbwcq5FWzeuIfh/R08HO9iEMeYi62hJqhZCMAaalYQtjlRKYXafq7bSYL7O0NMd6eIezFZs3AP8Jijr5362GnEr32g29GPhE//2qfx6l+9ine+fx1hGMOzzaHJZOQmzsoyw3RMWZ0fSHApnEW6qmpiC/iCNEt8YhU03GujNYZbO8jzFHfuXIdSNTh/fNihKT8cBYYufAWHiKe/H6S0VaG/MsCjrS1UVeHGgrXR8FjpKJqce24goy5rpLupezCUdgBGa+2GibSuUdcVkmTH0ssoQFdVadfHIKUP3w8hQx8Lve6JrNNYShlDI6ijUBYZuKihVU362yUDgwfp7+ly7PH0rX6J8CyLyHOOzgBgxJ5QOnHVibLWX+njdL+PQAhS9pPyMaGp/w0nEnzpRg2MYciyiWU8tADLC5xMRhBCgnPp6kLS1oTT8cSJ7tBmpg0ZxpRZVEWIuhOhE4aYliW2k8RtaAB702VHx/6UcdsY8/mjXugx4NLaGs5ePIvb124BIB0E7gl0On1sb9/FbrKDsCrc8dIYA1VXuHdjE9MkIwO+mqZskuEukuEuOd5qgyQZYWF5GTLwkU0yxHNt1wh4+PA9AEQmH6z0j2MueSxUVW5l9Shz0kqjHQbILVtj+dwytNbYvLGJ+7fuIwoDogxKicj3kVlx9LQokJclfCEguAel9zjY7zzYwnCTRpGbUhMAxFELLd9HrRQWzyyi3z+0Tvih8NnLz8EPJL78u28jDGNI4SOd7qKqqOQSx3NQSmN3uIvJcEJZr1Xx0rWiya6CbOaVohKTskL/xpDWwHi8hXv3bmDrwS00Y+/N+pnLfvlxxouPjaoo4QmOpfUlbN/ZJmaAVjAwqCoDKX3oigKolD4JQlUKZZk5G3TGPJRl7koJgG0WehzaaGTZxGa5lCEaQw4dUhJXmzHq2awvHJz5flg0DzyPC3hawRgNA/rOaa2h9+VU2hBV02s4+diThmyapVoZKF7Tg0hpIPRJoZExV/ZrtUOsWZkDaihSghL5T6Dme+HC89jauk36pFrZOfE59PvLYIwhTXetkAwdt7gnIH0iZVdlgSjuIe50EUbEdugt9LDy1DKS4QTFtEBn0MHozCJuffcWvv63X3V2257HaUPYAHzEptv+SH2gGPX7IbmA0hV+8zdewvc3N/H6K/+Oq/96FWk6RpGn6PeXkdoSRBjG8H0Splaqxq2b1+C948Gz9b66ruiYVJUw0AiCCO12H57g6Aw6mFvq4cUrz6IdhviXT30GX/mLL2CaJSgK8gvrLfaAl37uOLd/ZJC9DRDEIXXEmYfTgwHG0ykqpXDh4jmsbqzi7g/u4IdXb+KmvO2mhpog1fCzVVUjGU1Q5ZUr1yyuLWJuiTQPSGxojFa7hWfOnoEBqaj1Frro9RZOZH2h9PGLz1/B/Bc6+Ie//jp++B8/gMcF6rq0UpYaUvioqgLX/u27WDm3irmlnttnHicTVT2g5meeFihz8oWbDCeYJlN873tvYHv7DozRCPwWAOEabcQ0OLm6fYM3vvoG2v0Onv7ppxHPxbh/8wy+8bWXobWCECBtBr+FPEvw3nsjezKtUJY5ypKondwT+6ZXKZAx5kFr5U6yUoa0ZxrdfrM3ien7Ap/9pRdxae3MiayxYVhRph24uiwxhrT1cFPuNa2vhJ/6bq82D1XhSytrqyAkR9huobVPJ1wrjaevXMDlC+dxbmEBgR2PZ4yh5Ut36vsgnEjw3dh4DowxjMd7hrGj0RaiqIt2u48o6qAoMlRVQR+gALiWMKZCMhkiyyeYTIZYWFhzCw2iAJNh4poZVVHhW69803aMGTiXNqPg9mmHxyguB+AnGGM37evT+14fKqxjDFmc3xuNsNTt4soLz+Hd/37XbcrpdBecSwRBC1mWWEqPR2WXfRS46XSfp10Yo93uodOZJ6M+TrWmpfUlnB4M0AlDPPvis/izL02QJBJR1MXme7dRpMvH+ISODilDGKPgtwJHKwIA7jHMt9vYSVNE0gdveajWl6g5tTvF5s37uPGfNyHthq6r2g4uFBg+GEEphXYvxur5U+guUO27LitMximEEFhcnSeNYPtFqso9fYCPGtqQ6NMLn/gEgl8V+Brn+M6rb1HAtXVRYygzTNMRHtz2yEHEdsSb2i6X1ITLJpnzflO1wvoz6wheI56wUhpVXUICYEza0XsfggvHDDgpMMacYWa718ZgdYBebwGPtu9BMcrE82wC5nlOP9kY7U5rzFIe7ZuhEUoHmilWCd9vuTUo+z0gumLtTrrPra8TG+GYzfGjgERw9qhlRiuA2wcB88CYBufC1aG1qol5pSOEiPYCq7UK0tpzFLv9LCqtyIRz4/QqTs3NOUnbhlAsPA7FD96v7KQ29P8XMMbOHvR7Y8zt/6t7mWGGGX588GMffGeYYYYZngQ++rx/hhlmmGGGQzELvjPMMMMMTwCz4DvDDDPM8AQwC74zzDDDDE8As+A7wwwzzPAE8D/8+pleWmf8nAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(4, 6)\n", "for i, axi in enumerate(ax.flat):\n", " axi.imshow(Xtest[i].reshape(62, 47), cmap='bone')\n", " axi.set(xticks=[], yticks=[])\n", " axi.set_ylabel(faces.target_names[yfit[i]].split()[-1],\n", " color='black' if yfit[i] == ytest[i] else 'red')\n", "fig.suptitle('Predicted Names; Incorrect Labels in Red', size=14);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "We can get a better sense of our estimator's performance using the classification report, \n", "- which lists recovery statistics label by label:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T07:11:56.357916Z", "start_time": "2018-05-29T07:11:56.352731Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " precision recall f1-score support\n", "\n", " Ariel Sharon 0.62 0.87 0.72 15\n", " Colin Powell 0.88 0.87 0.87 68\n", " Donald Rumsfeld 0.80 0.77 0.79 31\n", " George W Bush 0.93 0.79 0.86 126\n", "Gerhard Schroeder 0.61 0.74 0.67 23\n", " Hugo Chavez 0.76 0.80 0.78 20\n", "Junichiro Koizumi 0.92 1.00 0.96 12\n", " Tony Blair 0.80 0.95 0.87 42\n", "\n", " avg / total 0.85 0.83 0.84 337\n", "\n" ] } ], "source": [ "from sklearn.metrics import classification_report\n", "print(classification_report(ytest, yfit,\n", " target_names=faces.target_names))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "We might also display the confusion matrix between these classes:\n", "\n", "This helps us get a sense of which labels are likely to be confused by the estimator." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "ExecuteTime": { "end_time": "2018-05-29T07:12:37.046328Z", "start_time": "2018-05-29T07:12:36.751005Z" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import confusion_matrix\n", "mat = confusion_matrix(ytest, yfit)\n", "sns.heatmap(mat.T, square=True, annot=True, fmt='d', cbar=False,\n", " xticklabels=faces.target_names,\n", " yticklabels=faces.target_names)\n", "plt.xlabel('true label')\n", "plt.ylabel('predicted label');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "For a real-world facial recognition task:\n", "- the photos do not come pre-cropped into nice grids, \n", "- the only difference in the facial classification scheme is the feature selection: \n", "\n", "- you would need to use a more sophisticated algorithm to find the faces, and extract features that are independent of the pixellation.\n", "- For this kind of application, one good option is to make use of [OpenCV](http://opencv.org), \n", " - it includes pre-trained implementations of state-of-the-art feature extraction tools for images in general and faces in particular." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Support Vector Machine Summary\n", "\n", "We have seen here a brief intuitive introduction to the principals behind support vector machines.\n", "These methods are a powerful classification method for a number of reasons:\n", "\n", "- Their dependence on relatively few support vectors means that they are very compact models, and take up very little memory.\n", "- Once the model is trained, the prediction phase is very fast.\n", "- Because they are affected only by points near the margin, they work well with high-dimensional data—even data with more dimensions than samples, which is a challenging regime for other algorithms.\n", "- Their integration with kernel methods makes them very versatile, able to adapt to many types of data." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Support Vector Machine Summary\n", "\n", "However, SVMs have several disadvantages as well:\n", "\n", "- The scaling with the number of samples $N$ is $\\mathcal{O}[N^3]$ at worst, or $\\mathcal{O}[N^2]$ for efficient implementations. \n", " - For large numbers of training samples, this computational cost can be prohibitive.\n", "- The results are strongly dependent on a suitable choice for the softening parameter $C$. \n", " - This must be carefully chosen via cross-validation, which can be expensive as datasets grow in size.\n", "- The results do not have a direct probabilistic interpretation. \n", " - This can be estimated via an internal cross-validation (see the ``probability`` parameter of ``SVC``), but this extra estimation is costly.\n", "\n", "With those traits in mind, I generally only turn to SVMs once other simpler, faster, and less tuning-intensive methods have been shown to be insufficient for my needs.\n", "\n", "Nevertheless, if you have the CPU cycles to commit to training and cross-validating an SVM on your data, the method can lead to excellent results." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "< [In Depth: Linear Regression](05.06-Linear-Regression.ipynb) | [Contents](Index.ipynb) | [In-Depth: Decision Trees and Random Forests](05.08-Random-Forests.ipynb) >" ] } ], "metadata": { "anaconda-cloud": {}, "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python [default]", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.4" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 1 }