{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 09 - Statistical Inference \n", "\n", "by [Alejandro Correa Bahnsen](http://www.albahnsen.com/) & [Iván Torroledo](http://www.ivantorroledo.com/)\n", "\n", "version 1.2, Feb 2018\n", "\n", "## Part of the class [Machine Learning for Risk Management](https://github.com/albahnsen/ML_RiskManagement)\n", "\n", "\n", "\n", "This notebook is licensed under a [Creative Commons Attribution-ShareAlike 3.0 Unported License](http://creativecommons.org/licenses/by-sa/3.0/deed.en_US)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## How we do Statiscal Inference in Machine Learning?\n", "\n", "It's usually acepted that Machine Learning algorithms have a huge power to predict and describe unknown data based on observed data. However, Machine Learning algorithms is not generally concern about the statistical inference for example as significance of predictions or estimated parameters. This focus it's usually true for traditional quantitative areas like econometrics, psicometrics that use significance as a evaluation metrics of models." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following data is a sample of demographic and bank information of certain group of clients." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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IncomeLimitRatingCardsAgeEducationGenderStudentMarriedEthnicityBalance
114.891360628323411MaleNoYesCaucasian333
2106.025664548338215FemaleYesYesAsian903
3104.593707551447111MaleNoNoAsian580
4148.924950468133611FemaleNoNoAsian964
555.882489735726816MaleNoYesCaucasian331
680.180804756947710MaleNoNoCaucasian1151
720.996338825923712FemaleNoNoAfrican American203
871.40871145122879MaleNoNoAsian872
915.125330026656613FemaleNoNoCaucasian279
1071.061681949134119FemaleYesYesAfrican American1350
\n", "
" ], "text/plain": [ " Income Limit Rating Cards Age Education Gender Student Married \\\n", "1 14.891 3606 283 2 34 11 Male No Yes \n", "2 106.025 6645 483 3 82 15 Female Yes Yes \n", "3 104.593 7075 514 4 71 11 Male No No \n", "4 148.924 9504 681 3 36 11 Female No No \n", "5 55.882 4897 357 2 68 16 Male No Yes \n", "6 80.180 8047 569 4 77 10 Male No No \n", "7 20.996 3388 259 2 37 12 Female No No \n", "8 71.408 7114 512 2 87 9 Male No No \n", "9 15.125 3300 266 5 66 13 Female No No \n", "10 71.061 6819 491 3 41 19 Female Yes Yes \n", "\n", " Ethnicity Balance \n", "1 Caucasian 333 \n", "2 Asian 903 \n", "3 Asian 580 \n", "4 Asian 964 \n", "5 Caucasian 331 \n", "6 Caucasian 1151 \n", "7 African American 203 \n", "8 Asian 872 \n", "9 Caucasian 279 \n", "10 African American 1350 " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "data = pd.read_csv('http://www-bcf.usc.edu/~gareth/ISL/Credit.csv', index_col=0)\n", "data.head(10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Usually, this kind of data it's commonly used to create scoring models. With the tools already studied, we could achieve this task easily. However this time, we would like to know which variables are important to explain Balance account of a given client?. In other words, we would like to know if it is a statistical relation between Balance and the other variables. For now, take Gender to test this hypothesis. \n", "\n", "\n", "**Question:**\n", "Is Gender **statistically** relevant to explain Balance account of a client? \n", "To answer this question we could find if there are a difference in Balance account between Males and Females." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But, first analyze data visually to get a sense of data:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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mzopwvf2pGw4W7gAnD0x4q4qcIJBWCWvOmZqou31NHUdoFwCweA7TO4Bz3yR1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\nzTDV3JzAyoCL6fWKl+OtHu0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hc30taNhMUriweOKol3N5l+dwyLvSX8zTgQp4ZUZ71gPY\nLJv5n88pRQpuhQvaRek3qjgSIWmRJwOoBvCflFIawFmt9dcA3Ku1fg0AtNavKaUiRyZKqc8D+DwA\nvOc97+nU+RISJpcaXrhdjDWwm95xAMeBOrA/sP1Va1halyIvWgPKwcIN83T1fJVc1xihSiUvymPp\nzRJcZSbos6MbwOI5LCDoCcpJcEfJlYZl8BVnUDW94wA2vNGvKW/CWyphZMf1DPh+Vgrm/+sOAKtV\nqQwskUmXX38d64MOlvY6mPuQ2efZz1G7XaApDcfVrwzsxZMzrieQ8z5bIFGMIdKOwaWh+u1aiBfJ\nkUPjtn3D/IOyzDJd7YMjqznPTAQ8MFt5JmtfAaPAvqzRJWwsPVPjWOFiTACA4SLU1GTAEBCXqM8t\n4ZpSidi/MByVGz2Mv2DISgFQQ4OB4pE9TK7GEbV48buvmT98uTI7Ve28VpEj7/lTDLbPPP6k5/23\nVDT/nB02bbkXZLFu84tfCbSFRkWSRgeNSUGMXNLuUTqjYSfeYiYQ7Hfl2sQ1kBZPHDXRduMu1u1l\nG3OBDUfh0MS+xPoN97+X75X8seaX9JNR94v741UvBz9Q9XL1e7sS0ip56p1+WWv9U9uhXFBK/be4\nb7Qd09cA4JFHHulgbVVCAmRSw7UmLbXycQG+cLPra4FKpeJtIROY4xcv4M72Nka2dwBbZMaEZ+5A\nr97A8JfnqmHBPzA5wzBc9AZv/lVIkgkyqWGhUS45oDoRefG68cT063fzS/OeQd5f3f3s0aeNJ+hm\nxSsKBsAbnB6cnNxVEVUS05+cmcDl11/H9MYOlvbGH8yS1GhKw2nrV3T5yfNfD7TjMGLPppo/NN77\nZIFgen0j0O4USQ1maea3yxGZ64Mlr/Ip7DZgAru1vCtXs02Z41/YDDN/+a1dr0UdCzAFktxxFws3\nmvxAIfzGznpIuL54+dUzfslYSU1NYuVe81pUgaQeJXMaToLoTTyYk/Q/jYyI4e0aFipKo+vTzX2t\not+PPv+NQLtH6YiGF24XPcO1FH8F4ueMrYV4qx9bPOeNU6Oi7UYHBwOen3q1FOmxf1ba1oEg7Hkv\nVeplbtdskbAo+qC/JCmQGwOo1vqn9ndJKfUfAPxtAG8ope63Ky33A2hfnAshbSYPGg6HjsnfcfE/\n+MqnF4GZCYwODuKBtza9beaX14LVtG2eIHVgPxbumJAdKTbw0htONfTthz8DikMo2lXpPpv0ZoKs\nazgc6phUw7sMQK4LbO2gfHoRC3Cgr61VczvaXKGweeS8dA3rFSzcGUHxGXMvuKslTG+a/LhzH5oE\nXNf8n/rtCmlruBVDJoBEHh/CS2+Y9zx+345tDyR6f82qvyRzdLsPjgrBlb/rGTAbUt6qWcAIqHqj\n+V/f/OJXduUpFJwpk3uzXUZyf4g7UK3SXPzU7tdiU96CXi1hetQU6/O+uxj5p/NMtzWcJn6vXn87\nKbXSNoQXD8L6luN99Ft/vOv44XQSC3dGog9eo3Bf3PD6Hvf8BNA5Deu/+gkw+s7E72umv3vw7ntw\n6vqaMbhKOPuB/TVz2jc6vn+RRzxRZW53anktsE9/BXptc+TLPJFjZZIGueillFJjAByt9dv2778H\n4H8G8AKAzwH4Xfv7T7p3loTUJosa9hJij5oHXfn0onnYFnfHT4bDFD75zXPAPhcvfvc1nJL9LVe9\nc+ZmJrAytu3lqzFV4HW1OIfWOPLY/cA3z2HdjrVklfMszIPYXS1FV6MnXSGLGhZksiGVt8UzQ01N\nYnbcheOr+i7bYtRsu7C8Zgz2y2tV7Z7/OtYHHcCGrB8e2TZFvnzHFG9lZ2oC8O1/pWC0fBZmEjO/\nCl9VetJNOqFh8WhftyHwcXO9iS6lP0zi6XF4n821ppxA+zsxzzmqYEaaNCrGUYuoHI/9RDf64Hre\nNeL5GehbfeMJYHdYpkyIw4usUYbT2T1lk/bGGm6KJ46aMYE1loqnmhQ5OjkTLNIoIZ31qrDH+exR\nYe9+JBxZX1v1PicQHZ7v96KS+06iCmaHXawUgIPoXW+mLI8j4tLICAkA2IrOpywaXbKaOnnAtCXP\nq+xrzo57dxUqslo78tj9AIAXl4I2NsltLrnKpR3HGzOck1fasvhQL7zeT71j9ULf3QkNe/OzD77T\n9A9rJTOWcF3Tv96ofo9JPSDF2LhUBFA04wWZq82Om3z303Zb6a/Dmj/y2P2A4+I7n6mOT3bl4LeL\nWX5PfZnbtYNOpZsgvUkuDKAA7gXwH5Tp0AcBfENr/W2l1PcBnFdK/SaAvwHwq108R0LqkXkN69WS\nmVBsls3Axze4c8fdQPL/DQVgIBibPjvuAltBI1GYepWNr/qK0HghFzcWMf9Da5S159YLA6ickl0N\nhycbVrv62nVgdMIMuCKcGlbGCpgddo2R0sdGSNsbAwqX3jHkFfkC4OXxDHNwcrIaEuq7Z/RqCQu3\ni9DXrkOjNyYCOSR9Dbtu/XYahL1GY3qRet5zH3xnsJ0ATjo6Smb6YL83pB8phthuY7osZJ2y1dwD\nWt0sm3bIc/LKrZvAWBuddA0AACAASURBVAHFo+0LxX1gvYJT19cCnqrzq6bwY5LAYbNIXAiMiZyp\nSagaVZJ7iMxouFXqVVqft15sSZ/znuenNYCGPUElSmVjYCfQ9t4vi6025ZT2Lb7KOczbHJ/F3/vt\nWOfUSXLyPEldw5Gen6GxhPSJUTT7PTpTk5i2xW/nPjQJDBXgTE0k9273IRr1V5oPj4H95yk5aGWB\nq11j5Zxoi3SIXBhAtdZ/BeBDEa//DMATnT8jQpKRNQ1L4YKltRJQLHpV2Od/YAdb5a3A9lLZ78h+\nY6Q0Sc6VrURoPCycqUm4P171tgfMKuHGgMLIjvYG+kceux/T6xXjYQdgz6DZp9+rIryCGD4f0nmy\npmGg6iUnBWcC4ekWCeMRD2PADPI8j03HvO/sURNSOf/Dn2Hug+/0qsJPr1ewMlbwjKJyr8gxH7b7\nfHiimkv02OI5uOslzyMIw0VqOAN0QsNSpXpuOthuiFd5txhsx0C8MB61YY/f+cw/ivW+OWv4FA80\naSctEJOURl5QjejXRYNO9sH1vGvCHo7+/x1bPAcMFwPhseHccfradc9rMxwqCUgfW/b62NnRDawM\nFDD941Xoa6XIfh6AF1YZZZhthqhw5ihPVfkc4ZyQsq3o/czjTwbCiKc3TLqUw3tds6gMBAoq+c+h\nV8jiOCIp9ULBwwbLcLtRFfe5g3cB8I1pDppxsvTJh20xGfHwlLZ4+7+4ZBLffuzD7wy08Vmfh6fP\ncxqoeng2KoIk5ypepUm0Gdfrv5F3YBYWjjul4fkf/gzQutrf/fBnUO9/t5dn8+oL54FbNwOV1d3V\nkvF4Dy0GRRkbjy2eM04rUn/BcfDVV34U8E7HZtlG45lFHvE8lvlblIex9HcSHRjuD2vh/T9mDtpG\n9xIh9ciFAZQQkjKO4+XiBAD1/nd7ExJ/QYE729uBt60UjDfo7LhrJrN7CwHPBnlIrg8qLN1VxNi2\nu8u7Tvbpn2hdvtfFdAWYv2a2mXvkXcBWJXZFekIAeLmsTs5M4KrNzwlUK1ACwLpjdHz84gW4IYMQ\ntMbSO4a8XES7UjmEEM9PCRHz7oUdBws3nKZz65L8IEaclbHtQDtNHn3epnWwOpX2956qHz7vSM5P\nqTyfIAcow8+In3Dfl1QPgbB4pxwYj1x6xxBcpbC016n2qRs7wfe//92BcwEQMAwkOZd61EvDIMar\negsIgTDiYgEf3+PCVcHzJtmmXii49PeyeJ+4//fpPqq9ESoKGm5/4Vc+YP6w/bK04y4uAbUXwuRz\nNrqvmrnf4obX9wvSn82ObnhjSO816/kp18GPpGBaCj2XT+3aMpq5g3cBrhss9imvD7UWzVKr76x5\njr7ieMcvXgAuXmhKDxyrkChoACWkD5FV1kPWI0MKDAUob5mHb6mE6c0y9LU1PDQ+BaA6SJler2Bl\nZADYrHieSytjoQGcDzGI+reRhOnyML9y6ybWHRMSr+yE3JmaaFveGJJ/qmFmxsNSVqU9HduBk+QA\nXbHV3Oe/b7af+9AkVkYGPD3CdeGKt3EDXCAyxPjM40/iiRfOByaxK3vNeTj3mYIcpH8IL/Q0Yv6H\nPwMAfOKX7g+0YyH2eBVqN+ByyfapTqidMvTcyD5R3l7l04soL+8uVHQmwuvS3w+KF5w6sH9XDtBw\n4SO9WsI8bN9tJ/+AWUQFTJ+67sAzhgLGy9o/uX7ApuyRCW9SdhU1Gq2mA5q1+3Z9OcvDlb3Fs07y\nOC7VyyGqFOSGffDue7z/855InzT6H9HhsT/8AwDA2RqFgmodU3I+18od/ZANJJEx+EOhwJJ6fboY\nYyVH9EtvBk0AouOVfYVAux2LtY28/r3xfTHUDp1brSJpvYak+Fh59D4AwPwrP4UGMPx7v70r7H3P\nYAF6q4Kv/smSZ7yW+Zi7WjJG0VBu5iP7B4CxAl4++rQp8nmnamiMmms575syBT03dgIG0gfWK156\ntLCh8eSMjYpq8FnlWeHdO9azOm7uZvaVpBloACWkT1kZcLHxjiHjzaZ1IERXr5a8MOB1x3i+feKX\n34URbSoOH77XNcm4L78VSIq9MaAwbatg69UbOPJwEWqo4OUhEoNTlHHg4YlJXH79dejtMjDo4PZ2\nBYfvNf9bXzM5HE/OTDS9Ckh6C39o2broSUJnyltAccjz/FzfrmCpWE2/MH/5LcxN7zUGStc1r9lw\nI6BqUIXjYENZoyeAsW3z1/SO8iYggXPaqhiPDHs6G0rDVSoY0tijA3ZimN1j+jpXFQLtRmHlMnGR\n0MYk4eiHQpPiQx3IttBKOCTpPcJGbT/iGTl/udQwFYiamoS2BRBXDo0DqI4bHFSNhQDMQldEqoiF\nGw6KR5/cpc1GhcVk+3CRoyj8OdElvcqSNTpI2HI4Z5/fKOxAwYWGC+2lAaqVV5Vki44s4IQ9QS1i\nFPr4fTu2PRDcQDTnRGsQqL04JzqW+81fmBTwVZh//huBttCKp13cCvWdLtjXLeT5L9di7oPvxKV3\nDGH0hfNeuLm/rxCjpZej/iPGWWXhhhNI/9QIWeiaHTcF2QCT1957fU/QgWWlgIZ5i8M68Ht+uqsl\n3PYVfvT3q37Pz1a8N7ngSqKgAZSQPkI8EMwDx4Hjz7VSHPImE3MH7wp6yKFqBNKrJUyP2srsNlfM\nyljB23bpriI+fpfG6P77sb5dAbYrGLPvlRD4h7bMAEwKHz2wXsHlrZIxZKnq4GzdiZj0kL5H0jJ4\nk1/ly88JMwicm96LlddfD2h4Y0CZicFmGcBewHWxPuhg6a6iZ/Cf3tgJvAeAZxgVQ6l6/7txZP9A\nICXEscVzXgVvwVXJvABJ/rm0p1C3XYuw53w9T/owS0NBF9Bquz7TNoLO8+ivXaOO9BmR4a4zE95E\nWBagwh5Y4fDzY889i5WRAZMD3Bo/5T3yu1buzOl1YwwRbyOJFhnbqpi++AfVRbDNL34lMIYpn16E\nvtfFhqNwPGLRNCo/ZzgdTzXnuTn+kXcO4Pa264UXy/dydaxgjKaSSuJ9xvggHqTi7Sbfz5VbN+H6\nxjR3tre9z8bJeftoFKLdakhsVMoCLy+51Wwjo3stam0v98hD1kO0eCKY7zmqgKNwZL8xlrp2IVfa\nL9v/rwzIKN8JtUPo5KHQrS6Y1cu72otEjQdqfetf/faPzB8yn1MK2Krg6j2jODl1T7XWw0emcKmo\nMTo46PXPT7xwHtg/sCuHpzgOANX0JmdOHMXC6UXMooyVEVvU1nEAO26oZWiUdjiP9OV7XcD3MS8N\nAVh7E64vDcLS2pte35g2ve5VTILQAEpIn3GnUvE81FylsD6ojGfcjoP5V35q/jFUAMKPW6WwroAj\nh8bN5KNeVUCtobcqXhgOYAZiYhBaKsLYNO0DdqlojKPOgAocdc9gIeCNwckBKZ9e9Iyfl94RTNvg\nb/sLFwmuUlgZGfAMpdMbO1jaGzJ2RlXtVspbLJj74DuBYddMhGEGh3qrAgy4CAjeMmZ3R+32B6MF\nf6G4arsR9SauqbFlZy7FQrAdg7j54EhvsCt0uwayjVdkzi6kyiITUC2A4uEzWgK+atW/9b8CAL7w\nD34RQNVDslGqhrmZCWDYxboDABpLb5bwyW9WF6iOLZ4D9pic4gCwtPYmnnjhfMAomQQJWfcXSwKA\nY6umfTVkFHYQvLdHBwdjfbckW0Resxb61Dg0qjI/oo221q3EpA3YsT/gjf+9dkzEeCnj+KgCOLWI\n+7zw5hWhfNT9liM0/PwX55Db25Vd3/umGEB9zF9+C1/4lalYx7qzvY3jFy9UU37MTODBu+/x+nDR\n+fGLF+COu1iy2pbczPI/IHg9wgsN4ukOWEeaPcF8oyM7LuA4tt82SN8oiw2tXO9e1QppDhpACekT\nPvnNc15IbhTO1CSUDUM5e/Qojv3hH5gHHBT84/WNAQeX3lHE3IcmsXC76OU4On7xApbeNA+6h7as\nF97MhDe5MV6ivh2FTmN9QGFsR1e3sUZUhoURoJp/DeNSQKIY9GCGHey7LqBUoHq765fdcBHYsSGV\nU5PYIwbM4SIO3jeJU8trODy2jY0BByMa3mDsoZ9XQzdXfDat29sVjLmuGaBqXfVgFq/RCr1A+4kX\nr5vQxMfv04F2Y8I66YBuwsb+KON/CrAoQfbxe+8srb3pveblu9wsQ1+7bsMiTdGis0efDoSbrxSA\ng/fdF5mLU8Iyo/K8hasFSx674xIK6Rgvy7mhAuaX17yweT/+PtpVwIb/n1smd/msu+HlJPR784uB\nUgwMUi154baDWZsPVPI7+3FCBW+k/aBty/cwOjiI276FaL1ZxuXXX9+1P9IcjfqXuCGxtQx8dfcf\ns09Ny9vspTfM/fS4DZF/6Y1qiHyj/KEH7zP5JuVzSVuQVFawETI6Iv1Es9QrLtaf1H7+660KlC9F\nwvCX54xx8sermL/8Foa/PAegmnsz7HkJ7Hje7S9e38HsuMaVWzcxO+5i4YazK2WI/35xpiY9T/cR\n33zNXS3h6lgh4G0fnrd5UQGL54DpvZ4H/yd++V3mXL77GjBcNNFbYwUvPP7VtdKuRaN20m/5ZYmB\nBlBC+hQxHj308y0vX9DJmQlcuXUTDyye81blxlwAOyZ0fWRHe3kR/UhovRiaVgZc8xAbcIGxgnmw\noVoVGwhNjLTe7TunFDbsvjkxJoJ/APbQ7W1jWIcGoHBwchLuteuY++A7A/rdgKncroYjEncKWxVc\nLpUwO1rG+qDdbseFoxyzMg1ffqVwESXHAWA07E13rCE0PCkmJArRmGhK2nE4tOXzrPe1GxIu5hVR\n3Iv0L95zHRq3tyueB5DfaDk77uLS0CBGIpwnpytm8iwFXRbujGB23MXJAxPe87549MldE87NL80H\ncoXOL695eUQb4Xn3V4wRVBawDu2bxOVSyeQov13ErBswieLQxD4v3DKpN6YXIhqa+Ic9n/YMFnBn\nezvgXbVnsAC9Xd5V1Z7klJT71HChmLNHg0YaL9+jHX/483hKWP2j3/pj+95g+HwjptdtxJYdW0lb\n8AxntgDUmaee3PW/T34zaFSLS7/lcQxHkoztaKwPAGNa4aU3HBRPVPOAinfkAwmPcWd7G7Pj2owb\ntitYGXAxO1queuiPV7f1f++yIDT/g5L1ti9i4YaDk1PBflM8SqupRIJ6mZuZABzHm1diuGgLdQX7\nZgCed36/XH+SPjSAZpxHnz+XaPvvPZUszwzpfY4tnjM54ZxqdZaw5xxcF+6PV7EyMoCNAYWVAQ0v\nnNeuYLuQMAzz8tLeAj6+x8VDdiCmC9W3rA86xtDpOJher3jVX4Vp8cCzhQCgTOj7xgACXnSu2j25\nIP2F5/k5WsbKQAEbb77h6ePSnkG4nuFR4/Lrr2MaofxJrgtJp3+nsgUXwEpBmYmxGOAdo2eE3ju9\nXjGePo5jfpQCikNmAj3k4pJd/VZDg8B2xRg//V6giB86SnoDKXqEhEWQ1qNC3mISO3dbGwnnv4vK\nh1cLb6JsDWP+iTLJDpHXeKyA4tHPep6fl4ZsKh1lvT4HXJNO5/urAIBjOIelPQU4Spk+cwgYvXUz\nEAp7+V4X05XqPeJ5dFoPMzU1iYXbQNEXDSIaKt8wk3WpuC4s3HAwu6ds8o/uODi1vIbZPRVgqICi\nzWUHmLyesj/x+JOJe3lZwo3NZzn82P3YGBjCQz/f8gyrYsi8cusmji2eM8bhmWrOT6DqXSqT+KU3\nS74w5C24gw6W9jo1K3+TZMQ1ljXy/AzkSUTVE7RePsur94yaP+x7vbZFjP1eJfYa3mafPP91AMB3\nPvuPI8+xVh/v93wOt0VfsGOdsN4a9ukNjLubX/yK+cOmupD28O/9dtWre58571pedvS6M9yp2AUg\nO5aUkHg1VPCMnwBwuVQyhTqVGcN+4Vc+ECgUWz69iFN222Or5wBbDf7/Wi16tR5k3LA+6ODSO4Yw\n65Qxf/ktzF+zqUluLMK1Xv6AWdR3V0umCN1wEVfHCjg5dc8uj+hTMOMfvVXAwcmqI4B4oh6+1y76\nWhnNzUzAmZrAwvIaZofdgLNDmtD7uD+hAZSQXmerAgwFb3UXZkURQKCAURUd8MqcXq94q77h/QDV\nSoOXhoIh9uvWsDQ75GJln8kdKt6gH5N0jf55vnLMcTU8b1IajwhQI6cn4BnPAQRSLEjBLQBeOLxo\nc72ObWl6YyeQ4H26YjzrlvYWcOTR++z+NrAyUICrzR0SXNmu7lxy2NJ43z9c2jNYt50G3cgfqiW3\nnRNqJ8BMvkhWeWC9AmxVvMWhB3weX+L56U8vcmkIABQQcmaUccTVsQLc7couT6ANR+HqmLlP/CH2\nADwDQK1JqXi4rQyYc/QqWA+7gLUhiBFo4XYRxRNH8cQL56Hvdb1wYcEba1yvk9+8Bre3K1gpmPM5\naw21DlSg4Ijg9+4OjK1cl17YpC5iXBKdh4289QrbNXo2NcoROn/5LQDAJz78zkA7TFQBv0YV5oVG\neUX7ZSwVNm9L25+P88qtm4F8mUCyBff5y2954eZe5IlWwFDBLEJdu+7lU5a8n6K3hRsOtP19cuqe\ngLFcKtLra6vAzASm1ys4tbzmFZx74oXzuHOfG3h2APWjpcSLvtnrT89REoYGUEJ6mCdeOA89MrAr\nL6GD6kBklzeo738ujFFpKVRsxkMB2Czj8L4Cpnccz8AU3ufKQNUYJSFq4ZQuVW9QYNSGih2a2McH\nVh8jlYdNnjYHjvYZ2EOeloI/MTvQQL+NcF2zgFAMDug9Y2yEhkcLuye8pH9wETbSxzRGhrVcI1dz\nO2m2Yj2Aam47JxgpEAep+j1tvfakLbnLSDZYuOFAr76FI4fGbdtMGY5fvIBLRYkoqT7rzYRWYakI\nHHns/kDECGwYveDP6VYvxB5F03eLYfRMyBB6aUjbY4csAVsVwHUxvW50qa+tefuR6vAnZyZw2+e1\ntPRmCSPaTtwB4+EE81mA6rhoZW/RM24C1QWw6berxZzccRcYQqAYpIxx1gcdrzje2Wd+w3jiuS4W\n7ozQ+6iNNDt2FONboxygUQV9wkXAwsYo8fwULUn7O/b/4vkp/w97gnoFwKymwgXBPCOSPb7fqFSv\nQBJQ2+gmSBoKGV9J2/Pcfv+77V/boXb98yLJ8NdbCA8v7mxv48qtm4G8lhJqvlQsmGrwtr1wu4iF\nO8DhvW61b3LMtTk5ZTw44ZQDY2D3x6t2v1XdnVpew5H9A3CgcGhin/W2L2NuZsJb3JlFGVgt4ezR\np819parPjl3GzccBpw11H5J6dLLv7S9oACWkR5GB/i5UsNK632hZq0BSUkZ2dKAIjRxn6a6iZ4St\nh7/qH+lvAivLtfTpM4b6E7PXpIbxFAAwVMD0erlaxAtVg/5uT+n60Hu5/xCFuKF2Q6RbVKF2DJo1\nurqhgzZbBTspMnEWz8K5g7b4XkeOTuJwbPEcMA7MXyt73vDAoJkkXrzg5cqs5vEGxnxF4+ohE16Z\nrAvhEHtgd3iiINXgXSeo9bHt4JhHJuCf+OV3wQXgQDyPtFfcSY7tKmMcklzl0xs7Nb3cBL+BEzAL\ncIf3ut73MH27gkt7hwCtMaJ19XXrTVs+vQiMipH2OsMwM4S/MFZW8PJw2r4znIez7nvreIcCaFiH\nL+zZGW5XQ5qdQPs7qJ8fFGicdoAAUAqvrpW8/nNkx/Wqwwuu1rhTqUCvrtl8moYk0Raul67M8fo/\n8RSF62J+5W1vW/HkvW373Su3bhpPz9VSIE2DSa8GfPT5bwTGGbIQ1mis3OxYenbchSPF80BPUFKF\nBlBCepiX3nCgr6163hiBIi0AbO0YANZwZJ+Rphq7b1TvNxZp8ybHFpYBzCBs4c6Il+/OX93PeJE2\nnhUdmtjn/c2HEwGMDmSi602sxYDu06RjXx/Z0Xhx6QY+9uF3AvB5Hym126BkUzyMaGUmAjbkcuHO\nCPTq24BSuGQ9R+suDPjuIb+G5fxJf/Gnrwer8P7p6x0I826ygLykQZEFA2nHQfI4Lw0G23Fw3jdl\n/hBvIGmTTDK/vAYMFzE7MxGYTLqrJTjWA/OhLWUWjab3Ao7jjQGO/NIU1hWwp1DwFjYlLUi4WJB/\nkutViQ9V6JXiL1fHCoFijLJI5a9c7a5G5I/zeR6NDg5GGrlk4dZ53xSGP/frmJZjDhvDgxhljl+8\nAHe15BmUEFFkb2VkwItsmd4y0TAyXvK+35W3qyH/JDOEn+dCvRyjkj92dtRcz1Ov2XQKj5tfL71p\nOkwvB+ibwWm4FMNa2usE2h4NqszLuXzUFjoK5CcVg6XkJw0ZMJ3QQli48rbkcfSqxE8GvTi9yuR2\n//5K5UJUeDzZTXgh1c/t7Qqg7LzK71Cizfse2jJ5k4snjqJ8ehELd4CTBya8InBSzHP2I+a5G76O\nomEAXig8sHfXa3MzE7g0hF0F8K7cuomXjz5tckLbTzC94+DqcCGyv41KE9VK0atAVffRCfMcqFP/\nlPQnNIAS0qMUTxw1k4XRCc8Lc2RHY2PA5/UJeIYjfy4qU4zI7mjX5FoGSQrrg8ZINLKjoVdKgA1p\nFM+5XYajsOedfXgf2lKBCREhwqnlNRy+F4DWthLmbk099PMtwHFwac8gjjw8EW0ACuSaFQ0D6zA5\n4qY37e4kZAg19Ot7v7THtk0Vy/CgjZD4NO8CKsafWilI0kAqCn+0iYrCLIKUXaTvEqPenJ0knz36\ndGRYoiyCYnPLGvH2xk6HIBPtw7Ywyle//SMAQHl5Dc7MJK7cuolZVAIh8SsFYENpoFIJ5JAz3p3B\niXL59CI+ft8OXFTvDRfaW7QSg6sYZV/1FdxwrbfVscVz5vlgveX0VsWbYJ+CMXSNDZiCj9gswy0W\nsa5sRA1q508HbIG0oYJXbEQMqPT+7C5hw3w7vcbk2m7YfjPptb4USucTbkuf6kYUOpIcvnJvPxDy\nHnV1sIK815b/2/BnKaLkta1xVxYGJGz/5aeq3puS5mTD5g8Npz1plHag33jo5yaBsfQdY3buBuUE\nPCjHtMK6dGjK9INLRWNgn148B+yx13ytBDhmQWZuZgLzy2tebuR1q3NJyxFOASLj4fVBB0t3FTHr\nlL1CbyMaXp58oBq9d/ziBfuab6FUKtrb/PwPbSks3FAoPlUdN18ulTBdQbXPDxWUS8r88hrUgf3G\nE3Rqkk4JxIMG0A7zZ3++mmj7j/0dekaQ1rj0jiGvWEy4SAwcB3CjJ8tj9sF2dayA26Hk6H5cu9+5\nmQlgq4L5H5S8ELIAMebkfDiRMIfvdU3OqpB+ZYI5tqM9D6WPffidWFdVl0yzjcLYjlvbC1kBqlAA\nhq2nk1K7tCvHiiJqr9Rx/yKeazKJrFXsIQu0o3jSSAKv0TD0/MwHKwUzOY3yypFq8JILVryLvEmz\n7SDF2Ogv4iH5PiVdjqRGwJBr8z7DqzB8OVAxWFkjv288Yxdx/RRPHAW+da7m57py66ZnaCmfXsTh\nfS42BpyA0XKlYIs5FoGH774n2qtUCBQwqnqaHnq74uX49IwLB/YH3lrNy1d79yRbRD3nPYOm9Rou\nPhNt4KzVby7cNrr7+J6dQFsYLRiDp4SKS1sIhzp3stBctdJ7sF08cbRh/lChmWJ6/cLIjoYaDuYd\nPjg5iVffrNMnhbxwD953Hy6X/n/23j44jvO+8/w+DQwGL6RIwiBEBqIvsjRkVdaUGVmO5CTH2FYp\nJ7G25KzsVYVREllKnRkWXQATX1Uc7dVmb3Or9cabmIMci0fvrkM5yyCrc5xEtSsli5OTRe2d5bXM\nwISTHAlSTpaCZQ1hUJYIAoMB+rk/nufp6W50z/QM5qVfvp+qIfH09PQ83fN73n7P76WEifeNbgpX\n4g+JIMZGIQP6OyVTPdU8EmOjwPWSswHVSgOAKHNp/wZFUFb3VsQUJemCClBCUojXiiN4UbvSYykL\nCsvCoTJw8ba8YxlhC4EV83ntbuHgssSz4LI6GhtViwMhnPiJ/gzzQ1Kg8HbZo5Q19fzIl8+jUKla\nFhFyfGYaK5Y30YbB1jvey70CH/6JHwKE5Zw3ZMOxQlruEV6rUVciMCO7+3fugn1jwXnfibPlstyx\noGPbblgqAYi0Yet4ukYxe+y5c0BfjjKcYUxSFtNpVsttxEkAI33l2tRLilEL44q8nLc85UZknxsF\n8SNIyRm2oDVKTJMheOIDY8BqWbl0+7KZm1ifZuG+rTcHDOWApQ0U599RrvMaFTvOcs6//NYNZVXp\nuaJwLJ0HNiRefOUNAJsTX3ztY0oeP/L87+txoBoa5eZ6BQ++8Dz279yFU1BumtaeUdhrJWcudGB0\n1OPyj9Uy5NVFxzJ2Nq/GiENlALbtbCwbRe38kLIOLVSUMqx8ekpbI404St6JD4xhPqe+K8820XVM\nGzDWiK3sp+plcTcbZnaTG2jChGEwbuiusAz1EhFt8ylXt/mUq35lmr8sX3sdAPDiVdUupcuDJmrC\nvZfebCzOelrxW407ysZKRa+d9HmL152/3XkcVOgEHcN4tayzuedVgqJh73eZUAdnj/4cAKC8VO1D\ny6enUJwvVa9hWep3X6s4YRrUNRRBG2UmUZdRsBa/ofpqoTeBHnzhedwyFv2Wy4J1ueKEQNmqVTzn\nGsQPFaCEpJRaSYQs7fbuZDXNadcwdzBtSEBuznQNwAm8baNqSWqsQdzLfY9FkQCWIZvPyE0yxfGZ\nacwuXg9PzOJzf4S0HfldFhLoETj09hpmb/O5HzruXa7sxQslz2TeWDGZ2LluC2oV87AzyWJI8hjw\nxdXcioVkVOq5LoaxIrzK2mq5MzDhS7wxroxGAehXch+fmVZKlEWflVB5ra4bvFGyPHI7gN3DzlzE\nuEcO2VXr0Vvr6457p0HFnRM603vVdMlvsWTcKld8yUIMtyoVXCqVIK8uoHgVONJjY6Wveu6lUgkQ\natN3cqnXySZfC3ds0uVeS82RVpXrvHztdWCbN7aksTK9sFhiko6E4w8h4f89L33ve+oNLe9OWTPv\n0wv6y/Xwx1h08aWQfAAAIABJREFUl/2Zw2drWQ4GUHdzL6/n9iaebb461zdxIqubbd6Pln2xfjM/\nNgTEuleJ1Lyblm7c/aNj+Vte8152oYRJjEJeLTlK0fmcDIzXCvisKS0dJ3/Jcj4/P5SD/Z0FJ+TC\npZIKG3L26BNOkjlb9+MXfUu/8W1lwLYh1/KR45a7qReqIrOyQyJBBSghKWP1mSI+D+BXHv4R5RoR\nMrCYRcP8UE7tEq/7/R9ccQ59CWc8mbYtyzt45msoOHUyGguujPM6e+xXP06rOaIon56Cva2MgaFc\nzazC/tiHznH9vxM/yRZYBjxtwZ8QzBobhViy1AJVSseFM2jRbMFsAJgYoGoT4OyTn4h8jySdNJ8c\nqMlMRlui+e+sZ01Ekk09V0a/hai9UNIL42AF4X7tPj7f47aQBGDb3vmHZWFAKmtI9ybuTd/8ZNkC\n7h0Zhf2dBU9WYjE26mT+PXP4IbW51WPjHpdbu9tS6p63q8mHJg6ObMqqvCyks/k1PmwD20YxeTOP\nK0NawaDrZTxgXrpu4eTBEU/iPo9rfr4PkzfzyOvnFhR/lHQGfxxKg5FtI3NhSulmlHT1khzVSzRk\nQkgEJQ4DVGIvd91NWVE7zrTjfm75yhrbNz74y+Y5rn76c54yUJ3fm5jRX/149JjRBI5CtPBOuWod\nKoEBKZ1+ZkgKRzFa2FAxiSfeq2KuFuffQf+zT2N1ruhsEinrdL3RtF6pynmAPMuFEoqAJ7O8wR1m\nYdlSis7jM9ObZTGn1onG8nN+yAZs26n/tt4cblUquGcNmFzqxfiwhZN3jXAziLQFKkAJSRnGlaz4\nJ3+lsvT53M239eZw93JFuZ0d2LHJVc2/8zjkyg5vAfiL/+e76nv07l9hZQNn9eRGLRB2oHjpB44b\nvGPxaRYVwj9x8sbyIgQAihevA1I6VpiecAsSGNioqi/dsUGdpEioKkALyxXMbuutZsl8e80TpsEa\n26MW8piGva3sZDAORdqeNqUsnWkVSppXDB7Sihgjs4fejp4V2p8xNqrK1bQhY33nblPtJInWPkmo\nY6sxC8+PfFlZfha/ocKElJemYOukEmEUv/19AMDEfT/kXKt8ekplxzZulKtlFL/9fYj33OEkQjKy\naC+UcKtPWTw5ylKp/zGWztpyv//ZCUeZZeK9BSXiGFrX1qI6Yd6AFEp5Wl5zEn4MuTd34dsoi5Cp\nXS6UnORIZn5kFLTjB/PA4HYU566hfHoKl263IfpyHmUzF/vJxp/Yy8morRMF1XMjr5XFPQr/SYeC\n+CmdbMiU8SjwF99UbfLD+j1Txsf0h43VtlkT+Ky4o44zR+7fAwD4asB7YR4Rpl91t+MscyggCZKf\nIanmtvMDPRD9ebx4bQOP7FYWv8W5parbOgCslqsxWgGgP4/CygasO/d4Q3ysVVCem9r0/I3i02MR\n2m+jsKINaQaqfTeEwOW3bjiKT+Ni71j9m77esjzrT7lWaWgpaNrW+KDql0+94WtrmiyO3aQ+VIAS\nkhLMxAGuWFrFuUUVH9GFXKuoifyqUvQceWAvblXWnEWFE+twueo6cfG2PifeoTOgWhaWewQubuvF\nsd/7ok6opAY2pYTd7tqpDJj0GMtSIXBg96gndgzJJuXTU2p32rXQNGEU3FbHRlHz4itv4MgDez0W\nPQaj4DQTrCEd8sGG2vl2YtT2CFz63vew+kwRlw4NA1GTBri+b0CKTQHkSTb5/J/8FQAVPsFdRp2+\nzZ94a1MSuRo063a/lSRITjKYvK9MUofbpVu5TdpKsehy2TZu8au/+lvqRDPm67589dOfA6RE0X0d\nfZ68eg3YvTdaZczG7LqKE2qyBbstP82C3hMGyL3RaxQ7tl0da1bLKM6pvyfeN6o2zKA2y5yESEM5\nrPQIjPfbuLmurmEyJ5u5i4mf5x9/AO3O3KPatVwoobBtB6xRWk53GmeubGTTZwkaFAfXTa0NnPFt\n6prLvep3NuWoMTxrZXEH6ve7Tixdk2xIl8+67rcRhb6be3ybdPc0sElXK0ES2UzY+F+cW8TE+1Sf\nMXkzX3VlX9mAXPgBsFsF+Jw4sAOwbee3Un1RGUXzmwuB4sXr+JU7x2BBYLC3F5NvbEC+dh1Se/EZ\ny/7i3GJVmfrcORVXtLwGDL7LqZN7Hu4PW7UpjJVrrQiYvhx46Xov8ieO4vjMNE6O6cz1DAtC2gQV\noISkBDPR8Qx42Lw4XhHVwXXi4AhWeoRHeTSgs6macwrLFa/LO1yDs1aKzt7W57HQMwOaoWpFqjJy\nGzyWe4S4MPJblc3qJGqlR3iUPB5p01ncjYITMC6IXsXmRZdl8nKvwJFD1Th0jnWz320S2oJ0TTgx\nviztrsnJGXHTaEb1rSgjTQKYn9KbXaaMx2t/bivxSmd98eBmG0j2FJSltVM0+p1JtFZtFWbhaWtR\ndCfrQQSrIaAaT9lg+nXPcSHw4te/B/GeO5QXyVrF2Zxd6QGG1nW88oAmYb4zKNPv/p27cPmtG8rj\n5dIPPImWBvxZ4/vznnh5QRZXgdgqZumx584p13adOAT9eeceTcKkZQuAZeHIj7vKXODHlnZs6hiF\n/eE9Osv7UouztLuSHgWWES7bB/Yoy03H/V6XDfU26T7y/O8DqFoCmvJXH/8F55zlkHHNUZBqBV2W\n+tkg/M9p03OzbceVvTi3CAiBI/fvwUqPUB5Q/fnNCm63Ra8O83Txegm2UNaZj+y2gd178OIrb2D1\nmSJss0nliyNaa61p5hKm7/WHaDDHzhx+SMWUXlUeAdadY8g/3lj/d1J/76TuZ/2ykuWxm9SHCtCU\ncf9Xzrft2l9/jDEaY43Pld1MTpzkArZSfg7mcti/excmPmBhvsf2Ws5JNen5/J/9DSYO7HBiu7gT\nFABqce5XOrnLRoE6tG5judfCcq+lFUjSed/sZFp3jnHiTwB43aCCdsBN8i7Rn4fcUDvSjtuNK1Zt\nYWVDZd7dsJwkAv4kG24XdsA7wTTfbXa2nfeMnK+WMZTLqwQcGxbllzgYZYdbaQTUtwDaSkZ2f7xa\nU673nVtRupL040+kOJ/zWoO6ka+9XrWsAxxZFO+5o3qOW6FkFuj9efQ/O+Fxz5wf6PH07SsuHZGJ\n+/ziK28A/XmUl6qK19AM9juB/qNPYP7L57Eiqt4CszvyOPLAXhSWKzj71NOOB8LkzTzkt64532m8\naJxMzGOjsK6/6WSf91t6+vEnsvEnH7MXSoyh20GcWJUhMUANRlnpp9YGzuRNpRQat1dU+daA57Mm\nq7tpH/4s79adarxwQqiYssHE5cznvGVfnY0r9ORSdZlvvBKMHJuycVXfqvt9LY7sMzFzbU/55ZZ9\nQzYQd+3D2Sf1JsvYgKPcm7jvh7DSo+YdszvyKj7yQgmH3qkAtq2UpC5luJPAyNWfG8MCM38wm/wm\npIF/Heig59qTS5ajlDxz+CE8+MLzHlf4bb05JylX+fQUsE0dL36rBHEz72yi1bPAJqQVUAEac/7L\nf11o6Pyf+smx+ieRVOKfeJkJuQm2boL531yv4MJiCVYfMLDhu4hQWfyO3DvixN0K3fUNSA5TC7Po\nMK714q59QF9nYs6RZCHGRlFYVnLshFGwLNjQlkDrFaDXqlpxAlXXSFstoAsrG84Ebn57deLnt3gO\nwijw3YtwT4ZNY1m6YTmun4QAwBXTP+pJ/5WIruzLPqXIcgMZ2T3tIKAchr8d1GsXboZ81qORLeZc\ndMPys1FrkG5aq8YN0ZcDfFmmHSsjKWu61J48OAJ72Hb65ImDSgFq4mOa5zp5egqP3O6ddwxoDxIT\nxkR9XmUwnlyqXWejBD0+M63nNAEyrudK7t929dOfcxKI+NvFpVIJtqU9Bx7Y69RpHGVg6jzOnlBj\ngpGZA6NKKWAs6+5ZE9Vn1Z/H5JKF/FEu8uNCOy3HLua9Hi3VsmKroUVquuD7lfS+ctXiW3jKRgFV\nL4FTrQSA/iRm/jJpDLexwJFDw1jp9bqezy5exyG9qWIvlID+PMTYqCPTmwwMtPv6cq+oG37HsZzX\nruzF+XcCkyP5E3YByh3+wmIJ48MAkHPiSjeCP/v7yYPqu8/4zuPYTWpBBSghKcHp3HXMIEch2mcr\nCwTb68Y+mMvh7rUK5i14rCIAs9BRg1xhw8I87KrVptkd3OF1rfHEYezP48CeUWcXEHBNeFyLjahx\nkUi2MLJRPj2FR4bUgvvAnj2e3WRALYxXeozrTXWyLfrzsPbscqwoChVthWPbSjG63TvBs3TiJDPx\nm7w1gHGrHOw+ZmvF5+NUfJLN1MvSG0aziYyA5l3Z7x3xZhw25SjUWwyT5BMmy4774lrF68pu3Mjz\nfZut6mamlZWjLzlY/1ObFX+FCoDVaviRwsoGLm7zLVf687DGRgMVh/UshtzZhs8e/YXAc8R77gD6\nbY+FnflcoVK1joqCqY+ZC5197HGVEEonkqLyszuEWX5GpZZCxWkXOuO1oXaW9qoF5/hgsAWpiQXq\njw3qUCPJksnEHuSaHok6CZxqsU0rZN3WgCScsA3GwORElo3B3l5P0qHB3t5qXOLTU5tSdBZWNjwx\nQt3J3grLFdWXr1SAvhyK31AhdSbeN1q1JkXVu6X/2aed67qVkG5LTuP6fsHX/4ulzZtP/s8T0g6o\nACUkZRjFpxlQrJlpHIDKmDc+bOPKUM6JwQJUA10DalAKdSMDIG4NoDhfghgbxcm7RjB7/U0AOp7W\nygasO8dgL5Q8Fg1+BYCTqY+QOuRPHEVhSoX18E+m7l6uYHKpV1kWLZSADa/8mnPNZ91/H9PXnO9R\n7vD33FxHcf4dR7mfP3EUk3rX2Lj0AHB9byPqKZIl/MqOqJP4r33s5wEA92v3Q1OOglnIGtfFqAtb\nUzcTOqeRBYdZeJvF9KaFeMzYqjVIFq1Hasmys4C9mYdcUHOC/ImjXjf4gGvVc2v0bH5tV1nSzz75\nhPO7mf6+EatJ/3cDqi+3dodvTrjrMd7nzXjvHkMml3qVlV1fblMb8MuMfy5Ey894spW+ot5nX35U\nBWb+4Ff+wFP2fx5avvJPNdbvGI+UUAUpEBquoV4brXdt531dd7d3jLlPM9aE3Tet9RRmDL+/zpie\nP3HUCWHw4AvP49b6Og6N7Pb8du5naZ7v2SePOp+RaxW89GaP6lu/s4Di/Dvof/bpan+pFZ5mfWes\nSc8ejf4bmTWnX7bKc1O1PhZIoy7yWZclEgwVoBmmUfd6PNaeepDW4u/s6w00Zw4/5FgjhBF2jXtu\nane4vhwmb/biJLDJosE/WHEwIo1Qz8U8ivya8/wYq7XJm3lgbNTjTunIqWvRvH/nLpx5lAtWUp+o\nlp9+tqJabySJkZtGLD/90PIz/QTJcticYKtWdW4KFcAa3fzdW7WabETR706utFWLpDClBMkefstP\nP/U2WetuONWwzjSWoE3TgOWnH1p+NkajoWXclp9R2L9zlzfMQl/OcWev9vGL3vJSY0rLWvVhP0i6\nhZCyuQlzUrnvvvvkq6++WvOc1V/9rQ7VJlk0Gl80gUmTEpEBIooMk8xCGSZJJ/YyTPkldaAMkyQT\ne/kFKMOkJpRhknQSIcNJhRagpG00kpE+gcpSQgghhBBCCCGEEJIAEh/ITAjxsBDikhDiihDiM92u\nDyGNQhkmSYcyTJIOZZgkHcowSTKUX5J0KMOEJINEW4AKIXoAnAbwEIDXAXxDCPGClPJvuluzdNJo\nzNBGXOYbsRYF0mMxShkmSYcyTJIOZZgkHcowSTKUX5J0KMOEJIdEK0AB/BiAK1LK1wBACPGHAD4K\ngJ1NDGhEYdpofNEUKUwpwyTpUIZJ0qEMk6RDGSZJhvJLkg5lmJCEkHQF6BiAa67y6wDu958khPgk\ngE8CwLvf/e7O1Iw0RDutS2MOZZgkHcowSTp1ZZjyS2IOZZgkGc4jSNKhDBOSEJKuAA3KkLUprb2U\n8gsAvgCojGvtrhRpP40qTPFYe+rRAijDJOlQhknSqSvDlF8ScyjDJMlwHkGSDmWYkISQdAXo6wD2\nucp3APhurQ9885vfXBRC/D2AEQCLbaxbUsjGc/j8r0U569tSyve2uyo+mpXhZSTvd0uirCWtzn8m\npXy4w9+5lX44ayRNntpFrecQexnusvzGUYbiVqdu1yeNMtztZ1oL1q05wuoWe/kFIstwEp9/HEh6\n3SjDySQr9xpXGc4MQsrkbj4IIXoBXAbwIIAFAN8A8HNSyr+O8NlXpZT3tbmKsYfPoUo3nkWzMpzE\n3411Tidb6YezBuVJEbfnkCQZjtuzA+JXp7jVpxO0W4bj/ExZt+aIU93aJb9xukc/rFtzxLVuWZTh\nVpOVe83KfcaZRFuASinXhRCfAvDnAHoAfDGOCxZCwqAMk6RDGSZJhzJMkg5lmCQZyi9JOpRhQpJD\nohWgACClfBHAi92uByHNQhkmSYcyTJIOZZgkHcowSTKUX5J0KMOEJAOr2xXoIl/odgViAp9DlSQ9\niyTV1cA6k6xDeVLwOTRPHJ9d3OoUt/qkgTg/U9atOeJct1YR53tk3ZojznVrB1m636zca1buM7Yk\nOgYoIYQQQgghhBBCCCGE1CLLFqCEEEIIIYQQQgghhJCUQwUoIYQQQgghhBBCCCEktWRSASqEeFgI\ncUkIcUUI8Zlu16edCCG+KIQoCSG+7To2LISYFkLM6/936eNCCDGpn8tFIcS93at5axFC7BNC/IUQ\n4m+FEH8thJjQxxP3LOIkv0KIvxNCzAkhZoUQr+pjDT9TIcST+vx5IcSTLa5jS9pAWB2FEO/Xz+CK\n/qxoZf1JsmhVm0gS7W5jWSNsvPKd8yEhxA+0nM0KIf5pB+q1SbZ973dMnoUQB1z3PiuEeFsIcdJ3\nTsefURoIkz8hxD8TQiy4nueRLtUvch/b4XoFymS3nlur+uWkUq+/6nBdIv8WMalbXNp6Q2u3tCFi\ntN5rhlb1QSLmc8NG5TTJ95oapJSZegHoAXAVwHsA9AH4FoAf6Xa92ni/hwHcC+DbrmO/BeAz+u/P\nAPhX+u8jAF4CIAA8AODr3a5/C5/DXgD36r+3A7gM4EeS9iziJr8A/g7AiO9YQ88UwDCA1/T/u/Tf\nu1pYxy23gVp1BPDfAHxQf+YlAI90W0746t6rFW0iaa92t7GsvcLGK985HwLwHztcr02y7Xu/K/Ks\nx8XvAfgfuv2M0vAKkz8A/wzA/xKD+kXuY7tYR0cmu/XcWtEvJ/lVr7+K628Rk7rFpa03tHZL0wsx\nW+81eQ+ZmBs2KqdJvte0vLJoAfpjAK5IKV+TUq4B+EMAH+1yndqGlHIGwJLv8EcBPKf/fg7Az7iO\nf0kqXgGwUwixtzM1bS9SyjeklBf03+8A+FsAY0jes0iC/Db6TP8nANNSyiUp5Q0A0wAeblVlWtQG\nAuuo37tNSvk1qUavL7muRYghaf1MQ7SzjbW/9vGjxngVd7olzw8CuCql/PsOfFfqSaj8hfU33aLr\nMsn5f3xo8LfoKCF1iwVNrN3SRBLWezXJytywhTqG2N9rWsiiAnQMwDVX+XXEf2LXam6XUr4BqEYL\nYFQfz8SzEUL8MIAfBfB1JO9ZxK1eEsB/FkJ8UwjxSX2s0WfajXtqVR3H9N/+4yS7tKJNpIEk9AOx\nxzde+fmgEOJbQoiXhBD/oAPVCZJtN936DX8WwFTIe51+RqkiQP4+pV32vthFt9NG+thu4ZfJODw3\nIFtjUb3+qtvETWb9xEVmAUReu6WJNLZJIOVzwy3qGBJ1r0kmiwrQoPh8suO1iCepfzZCiG0A/gjA\nSSnl27VODTgWh2cRt3r9hJTyXgCPADghhDhc49ywusfpnhqtY5zqTuJBK9pEmmFbikid8eoClMv3\n+wD8LoA/6UCV6sl2x39DIUQfgEcB/F8Bb3fjGaWGAPk7A+AuAIcAvAHgt7tUtUb62I4TIJNxeW61\nSGP/G2s5iTmxktkG1m5pIo1tshaJnxu2QMeQmHtNOllUgL4OYJ+rfAeA73apLt3iTePaov8v6eOp\nfjZCiBxUx3ReSvkVfThpzyJW9ZJSflf/XwLwx1AuG40+027cU6vq+Lr+23+cZJQWtYk0kIR+ILaE\njFcOUsq3pZQ39d8vAsgJIUbaWacQ2XbTjd/wEQAXpJRv+t/oxjNKC0HyJ6V8U0q5IaW0AfwbbP79\nO0KDfWw38MhkXJ6bJjNjUYT+qtvESWY9xElmG1y7pYnUtUlNKueGLdIxJOJe00AWFaDfAFAQQtyp\nd2l/FsALXa5Tp3kBgMks9iSAP3Ud/0WdnewBAD8wpttJRwghAPw7AH8rpfwd11tJexaxkV8hxJAQ\nYrv5G8BPA/g2Gn+mfw7gp4UQu7SbzU/rY+2kJXXU770jhHhAy9gvuq5FMkYL20QaSEI/EEtqjFfu\nc/bo8yCE+DGo+dz321inMNl20w15PooQ9/dOP6O0ECZ/whsT8h9h8+/fibo12sd2A49MxuG5ucjE\nWBSxv+o2cZJZD3GR2SbWbmkiNuu9FpO6uWELdQyxv9fUIGOQianTL6jsW5ehsqv9k27Xp833OgXl\nvlCB2ln4JQDvAvAygHn9/7A+VwA4rZ/LHID7ul3/Fj6Hn4QyI78IYFa/jiTxWcRFfqEyE35Lv/7a\n1KWZZwrgaQBX9OupFtezJW0grI4A7oOaHF4F8H8AEN2WEb6682plm0jSq91tLGuvGuPVLwP4ZX3O\np7SMfQvAKwB+vM11CpNtd506Ks8ABqEUmjtcx7r2jNLyqiF/v69/14tQC7i9XahbQ31sF+oXJJNd\neW6t6peT+AqTky7WJ/JvEZO6db2t67o1tHZL2wsxWe+1WLZSNzdsVE6TfK9peQn9sAkhhBBCCCGE\nEEIIISR1ZNEFnhBCCCGEEEIIIYQQkhGoACWEEEIIIYQQQgghhKQWKkAJIYQQQgghhBBCCCGphQpQ\nQgghhBBCCCGEEEJIaqEClBBCCCGEEEIIIYQQklqoACWEEEIIIYQQQgghhKQWKkAJIYQQQgghhBBC\nCCGphQpQQgghhBBCCCGEEEJIaqEClBBCCCGEEEIIIYQQklqoACWEEEIIIYQQQgghhKQWKkAJIYQQ\nQgghhBBCCCGphQpQQgghhBBCCCGEEEJIaqEClBBCCCGEEEIIIYQQklqoACWEEEIIIYQQQgghhKQW\nKkAJIYQQQgghhBBCCCGpJXMK0IcfflgC4IuvoFcioAzzVeOVCCjDfNV4xR7KL191XrGHMsxXjVci\noAzzVeOVCCjDfNV4kTaSOQXo4uJit6tAyJagDJOkQxkmSYbyS5IOZZgkHcowSTqUYUK6Q+YUoIQQ\nQgghhBBCCCGEkOxABSghhBBCCCGEEEIIISS1UAFKCCGEEEIIIYQQQghJLVSAEkIIIYQQQgghhBBC\nUgsVoCSVlE9PoXx6qtvVIIQQAvbJcYa/DSHph+2cdALKGSHhsH3EAypACSGEEEIIIYQQQgghqaW3\n2xUgpJWYXRV59ZqnnD9xtGt1IoSQrMI+Ob7wtyEk/bCdk05AOSMkHLaPeEELUEIIIYQQQgghhBBC\nSGqhBShJFWYnhTsrhBDSfdgnxxf+NoSkH7Zz0gkoZ4SEw/YRL2gBSlLP8ZlpHJ+Z7nY1CCEkE7DP\nbR4+O5JFKPeEdAa2NUJaC9tU8qAFKEkl3FkhhJD4wD45vvC3IST9sJ2TTkA5IyQcto94QAUoSS1m\nN+bCYslTPnP4oa7ViRBC0gr73ObhsyNZhHJPSGdgWyOktbBNJRe6wBNCCCGEEEIIIYQQQlILLUBJ\najE7MNyRIYSQ9sM+t3n47EgWodwT0hnY1ghpLWxTyYUWoIQQQgghhBBCCCGEkNRCC1CSergjQwgh\nnYN9bvPw2ZEsQrknpDOwrRHSWtimkgctQAkhhBBCCCGEEEIIIamFClBCCCGEEEIIIYQQQkhqaZsC\nVAjxRSFESQjxbdexzwkh/j8hxEUhxB8LIXbq4z8shFgRQszq1//p+sz7hRBzQogrQohJIYTQx4eF\nENNCiHn9/6523QvJJpRhknQowyTpUIZJ0qEMk6RDGSZJhvJLCHHTTgvQcwAe9h2bBvBeKeU9AC4D\n+HXXe1ellIf065ddx88A+CSAgn6Za34GwMtSygKAl3WZkFZyDpRhkmzOgTJMks05UIZJsjkHyjBJ\nNudAGSbJ5Rwov4QQTdsUoFLKGQBLvmP/WUq5rouvALij1jWEEHsB3Cal/JqUUgL4EoCf0W9/FMBz\n+u/nXMcJaQmUYZJ0KMMk6VCGSdKhDJOkQxkmSYbySwhx080YoE8DeMlVvlMI8VdCiP8ihPgf9bEx\nAK+7znldHwOA26WUbwCA/n807IuEEJ8UQrwqhHj1+vXrrbsDknUowyTpUIZJ0umIDFN+SRuhDJOk\nQxkmSYZzYUIyRFcUoEKIfwJgHcB5fegNAO+WUv4ogF8F8AdCiNsAiICPy0a/T0r5BSnlfVLK+3bv\n3t1stUkbOT4zjeMz092uRmQowyTpUIZJGEnpjzspw2mW36T83mmEMqygDCYXynDnYXtpHZwLk2Zh\nO0wuHVeACiGeBPAPATyhTcghpSxLKb+v//4mgKsA9kPtrrhN0u8A8F3995vaHN2YpZc6cwck7rS7\nQ6IMk6RDGSb1uPzWjVhP7NIqw5xQZ4e0ynDcYRtrHVmWYcpR8smy/GYJtlXip7eTXyaEeBjArwH4\nKSnlLdfx3QCWpJQbQoj3QAUWfk1KuSSEeEcI8QCArwP4RQC/qz/2AoAnAXxW//+nHbwV0iJMh3Rh\nseQpnzn8UNfqVAvKMEk6lGEShr8/NkrQuPXHlOHWkLTxN01QhhWUweRCGe48bC+tg/JLmoXtMPm0\nTQEqhJgC8CEAI0KI1wH8BlSGtTyAaSEEALwiVXa1wwD+uRBiHcAGgF+WUppgxcehsrcNQMXnMDE6\nPgvgeSHELwH47wD+cbvuhSSDVndIlGGSdCjDpFEuv3XD+fvmeqXrStCsyDAn1OklKzIcd9jGmocy\nXIVylDywQLlfAAAgAElEQVQov9mEbZWE0TYFqJTyaMDhfxdy7h8B+KOQ914F8N6A498H8OBW6ki6\nj+mE4tgpUYZJ0qEMk0Y4c/ghHJ+ZxuW3buDmegUAsH/nrq7WiTLcPuI8/qYJynA4lMFkQBmOB2wv\nzUH5Ja2E7TD5dNQFnpCoNNOpsEMihJDmcPebRgm6f+cu9qNN0ug4xPGLkPZSr42x7ZEosK+uDZ8L\niQtBbdXEA6V8ZhsqQEksYEdECCHxwEwSSTbg+Eu6DWWQkOiwvRDSfdgOk4vQSc8yw3333SdfffXV\nbleDhOCP13HvyCiAjnUyohNfslUow6QGlGHSEF3uc4OIvQzXkt8YPk/SeRItw1mDbXYTsZdfgDIc\nN2LWjijDxEPM5DMKiZDhpGJ1uwKEEEIIIYQQQgghhBDSLugCTzpC+fQUACB/IigOdRXG1iGEkM7h\n73NPzS2qNw53q0bJhmNY+4k6nyDpoZ2/OdssaTVZ7KPYjkic2Yp8ZrE9px1agBJCCCGEEEIIIYQQ\nQlILLUBJWzG7JvLqNU85qiUoIYSQ9mMsPxvtq0kwHMNaT7PzCZJcOvmbs82SrcI+iu2IxJtmLD+z\n3J7TCi1ACSGEEEIIIYQQQgghqYUWoKStmF2SZnZNuNNCCCGtJaxf3UpfTVoHn384lNHsEdffPG71\nIfEgrvLaSbJ876QzdErG2J7TCy1ASVOUT085HUIYx2emnWDDhBBCusuxqfMY31budjVImzg2dR7H\nps53uxqExIIo89Q4wLkyiRP15DEp7YoQQ9Q+lrKdHWgBSjpCM5afjLlBCCGtoXx6CthWAWwb8uq1\nupagpLNw3IsOn0n2iMtvznZKopBFeWDbIO2mWzJGGU4fVICSTdTqUKJ0PmaX5cJiyVNmYGxCCOks\n5dNTyupzGzC7PQcAmDg4AlhlTN7Md7l2pBUYq8/ZvLd89ugT3aoSIV0jKYqYRubKcb2HNJO1Z15P\nHpPSrggxRO1j/bK9+kwRYmyUsp1iqAAlXSVoAGXMDUIIaZ7AvrMvV/3bsoC+HPvWNtLo+MVxj5D4\n08p2ai+U9EW3XC1Cug7HMNIO3PJEGSOtggpQ4hBld8/f+QRhdlZo+UkIId1BLpSw+kwRWC2jCEDc\ntc+J/zl5M8+JY4qYXFLh3McHV1T51kA3q0NIV0nKItm025MHR2AvlHBqbnFTXWl113my+szrrd3M\n/a9++nOeMiFx5dTcIgDg5MFRAOH6iPyJo6qd9+eB1bJ6QbV9ynk6oQKUtIxGFJ6NKFsJIYTUx9+v\nQgjl7g5g8pY+iZafbWWri2f+NvXh5mo6SPLvuJV26u8j7GEbWKuApqAkzjiGL1J6yq2MI57kPoG0\nllpzqWZk7PJbN3B8ZpqyRQC0OQu8EOKLQoiSEOLbrmPDQohpIcS8/n+XPi6EEJNCiCtCiItCiHtd\nn3lSnz8vhHjSdfz9Qog5/ZlJIYRo5/2kHdOpiLv2Qdy1L1InI69ecxJqOO48mjOHH0p0R0P5JUmH\nMpxx9EIFlhrqzz75icTFhaQMR6c4t4iitngg8YEy3B2aXSh3muLcIorfKjlzabeHVTPz8naQJRmO\nyzPvFmFrN7lQgnSt8/zluJMlGc46ph81OopTc4u4e7lS8zP5E0fR/+xEZtt91mirAhTAOQAP+459\nBsDLUsoCgJd1GQAeAVDQr08COAOozgnAbwC4H8CPAfgN00Hpcz7p+pz/u0gHmDg4gvFhG7N5FWj4\n+My0s4sXRkImGOdA+SXJ5hwow5nB6Uf785h43ygmDo5gdkces9tzGB+26/bLMeUcEiTDCRnbEomZ\nW1xYLEWea8SEc0iQDLebBP+OLcHdR6A/DzE22u0qReEcKMOZRoyNemTVX94KHeoTzoEynBhaNZdq\nRkdB0k9bXeCllDNCiB/2Hf4ogA/pv58D8JcAfk0f/5KUUgJ4RQixUwixV587LaVcAgAhxDSAh4UQ\nfwngNinl1/TxLwH4GQAvte+OskGUDsYTY6nfbneVugLllyQdynB2cLsHibFRoM/bL1vJWGRvgjJc\nHyc22zNFT5nEA8pwOmhHLEiTabjetbvdprMow91+5nEj6TFAsyjDWaBuvpJ+W81/F6NZKydNrklz\ndCMG6O1SyjcAQEr5hhDCrMrGAFxznfe6Plbr+OsBxzchhPgk1K4M3v3ud7fgFrJFvZgsTgKGYdXJ\nNOL2nsCOpuPyC1CGSUuhDKeY4zPTwMERnD38EMqnp5rqlxNA7OcRSRrbkhJ3LWUJFmMvw+3izOGH\ncHxmGtt6c9i/c1fSf8emSVIfEUJmZTjutLWPzPe1/JJd7NspwzGnVf3kvSO1EyGRbBGnJEhBsTJk\nE8c3H5TyCwC+AAD33Xdf4DmkcY7PTMMetjG5ZKkgxYMqk2WUrGkpzKrYNvkFKMOkI1CGE0hQQo35\nnOqfz5w4Citbrj6ZnEcYGZgobAcATCZkfE3hPKAVZFKGW0U7FCjGstqdGRhordymrA1QhhNMmHw7\nsWnrtIOUbFBRhrtE1P41ajLlVs2BUyLXRNMNBeibQoi9eqdlLwBjk/w6gH2u8+4A8F19/EO+43+p\nj98RcD5pEaaxX9Bm4/Uaf3FuUcU0auI7EtShUH5J0qEMp5AjD+wFACzrUT3lGS8pwwHMD+XUH7ei\nnd/oGB8X4l6/iGROho/PTOPyWzewf+cuR+bM8ZT8plkjczLcKZrti5Papxu6UE/KcBdpp3z624Kx\nACUE6I4C9AUATwL4rP7/T13HPyWE+EOo4MI/0B3SnwN41hVk+KcB/LqUckkI8Y4Q4gEAXwfwiwB+\nt5M3klU8nUoeOHlwxLEEbXTHxh5OXPxQyi9JOpThlLLSUzVCuLleSbMSlDLs4uTBEQDAsp7om/KZ\nrtWoNlEsNzIAZbiFtEPx47d4Q38eQObktBaU4RRRr1/2xFVEuOVnwpSvlOGY0Oi8oJ48toqEyjWp\nQ1sVoEKIKaidkhEhxOtQmdM+C+B5IcQvAfjvAP6xPv1FAEcAXIGyX3gKAHSn8psAvqHP++cm+DCA\n41BZ3QagAg0z2HALccdksRdKODW3iPyJoy3JnjahF2izaj7Z0g6lVdei/JKkQxlON+XTU3hk9zpg\nWVi2VCxmSwK21oPu37mrxqeTQdZkuJnJ/OW3btQsh5GymJqxJWsy7Me/gASQyPifEwd2AADOIntK\n+6zLcBDt6De3qmyJ0qdnTXYNlOH4ECTnxpDK6AcmfZ4sjcot5zekFu3OAh8mpQ8GnCsBnAi5zhcB\nfDHg+KsA3ruVOpLG2Uqn4nRcU+c9x6Mu2DoJ5ZckHcpwOjF97ykAsCyIvhywXgEADOZyuLW+jkMj\nu1Mx4cuaDI9rr4izDXzGKLrNYiLuiu9OWW7EhazJcDdox2LXL6fWnSNbvmar6dTinjKcfqL2y2HH\n465wogy3l63+7tbYKPJHH3L0A/mnos0L2j1/iLtck+aIUxIk0kaaXWiUT0/hFAB5dQFyC9fxYzLH\nG1e9VkAzdUJImjH9r0l0ND5YxrKVB9YrGFq3AcvCy48+3hIrfbI1Gh0rHXfbwfYlWgmDYyRpJ61c\nQHZDaW42JWb13PLY1HlgsIzi3GJmlPikSjvXGuYaD77w/JauWcvys92hR+yFUv2TSKYJGhOOz0zj\n+Mz0Js/QU3OLABqTW/c5nN+QIKgAJU2zlU7FdFyX9SB/U1svUWlJCCHBOAtxPUF0kt4AVUtQsP9M\nItXfVv244/2NW4ImDSqNSKtpR99njenkGYvxUexwwz+dmN+xm2uiVhm4kGyQlb4obfeTdagATTlb\n3fFrt6ua33VvK9BMnRCSRvzWgdBKssKGhXkLODA6yv4uJjQ75vqVLE45Ahz7SBJoheVnNxJnBbWv\n8ukp4K59VOJnkKT2t+1ezzG5HWkUd9sJbVeH1X+NWH5SBkk9qADNKHEZuBmwmxBColGcW8TEwREM\nrdsobFiYXLIcy0GSbMzYd0zHv2pmbO6G62Fc5hIkmyRtftiq9pJUJRypTatc4Gsh6aJOIhC1b+1m\nX8T+jzQLFaAJpJEGH7rj12CMuKRMLgF2hISQdJE/cdTJkom1CmBZsPaogPFpdpFOIlu1smnE8pOQ\nrBDWrhzr+BYTNM92/52kOTEhbkSbxpisJbcj7SFsDR9FntwyOD5swxoboU6ABEIFaMaIa6yObgbs\nJoSQuHOpVAJ6bCxvV3E+7YUSjk2dx9mjT3S5ZqSVNDMWdyOBUlznEiQbJG1+2K72wvaWLtoZAzRp\nbYZ0h2blpBuWn5x/kGahAjRBRG3wQZ1Vs5afhBBCuodxiV7OA7CYXCApdCVLdYYSKBHSDriwJvWg\njNQmanZuQtrBsanzwLBOFrpYYvskgVABmjFaGauj3QMZ3SkIIQTK7T2vLD+HdMhPWn6mk2bGu60k\nUGqWVsQsJaRZkjY/TNLcm3SPdsZT7FSboXwmmyT0rf52cmpuUb1xuFs1IkmDCtAEYRr4yYNqcRNm\n+Un3BkIISS7l01OQCyWIsVEUry4AACbeNwr05bpcMxJHHGXkc+dU+bH2KyO74XZP0ks9+Qmb37Ya\nJhci9Ui6jHQjCRLXp6TdyIUSyqenNs2Zk9Y+SWeIpAAVQkxIKYv1jpHWYiwr2mHp04rd560OZFE/\nxwGSEJIlxodtYHA7inPXqgdtlQBp8maefWIKMePh+OAKAGCymXG1SQX5VhajRWN5cde+pr6bJJ9u\nKjNOHhwBAJzp+Dc3R725d61nSSVSdtiq0qYbstGSMYx0Db/MJOF3M4Zhpk8c31YGDo5U5yUa9pXE\nT1QL0CcB+JWdnwg4RtqAf9LzebN75xog3Y270YbOjoEQQrrP6jNFoLwGvPddm94rzi1CUMlEAjBj\nuLF8KC81NqY3YxGUBDc5En+iKvVC5a2BuPaNyGo7rIaifr+xZGKbijftDGPQjn7VsZpe3ZrVfjOf\n43iRbVrxu/uv4faUCqL4rRLEXfva5i1Akk1NBagQ4iiAnwNwpxDiBddb2wF8v50VyzLG8nNW5TNQ\nOxqIj7Z5qwMZd7EJIWQzEwd2ALaN2R2q85/Q1k3FuUWgn5afaaYbiYxatSAm2aSbc7m0JaLxP8sg\nJSiVSKQetdqkf6Or1a7wxhp7VrfJk3clyzo7qyR5TS7GRpE/cXST3sSZO89rGecch/ioZwH6/wJ4\nA8AIgN92HX8HwMV2VYrAk/TCcWvr1y3b1ZDN7kczHddWOr16Oy9Jn4wSQkinKJ+ewvi2MuYHelBY\ntkNOWutspUhnWauo/824b8ptpBULYi4kyFZoVKmXP3EUx2emcfmtG9i/c1ek7zDz1W4tgqPOtT3t\nb7VMS9A200038TBZaJUyyiiAJm9Vj5n1mrl22Pqt2bpHgbKcHKKu49sdtsN/jdVntDmYuz8fLAOW\nVZ0/aX2JGBvwfJYQQ00FqJTy7wH8PYAPdqY6BFAxP8unpzCOMtCXc2KArs5FswENmjRtRSEZ9lmz\n89Io3MXOFvd/5XxD53/9MWa3JtngwReeBwD8p4USUNiOwrKN4tyi1/IToOt7Bpi8qSbsH9q24Sk3\nQtCitxZbXRCTbNPNudz+nbtw5vBDjuVPHDfbnQzFEc414atM/MTi3GJoe+ScmYThyIZuF/mnNlsQ\nH/u9LwIAzj7VWjmKkhyKxjHxo9nwIlH7NxXT3huXs9VjRnH+HYixUZy8U82BTGxQ6htIGPVc4P+r\nlPInhRDvAJDutwBIKeVtba1dBvHsdBwcAdYqjjLTPxkyO+FAtQNyxwANwj34ROkYyqenYA/bsPR3\n19vNSZtbEiGEtINjU+dxq08CEJg4sAOz29XO9ZEH9gIACsvaAlAITtoygHEftI37YBPJXeaHtPVD\nRAUoIXEhqI/zzx/988tjU+dxsU9iYEOGzmP9YR6MZVAzFkjN9sNRF+H5E0eB584Btg1x1z72+22i\nmy6/9WTBlI2VW1idwtZW5rhxBXaf57SFQdSsQ726HXvuHADg7JOUzzQSdR1va4t1aWKPB8hN/sRR\nWDPTuFQqYeIDYzh71Cv//u8M0hUExfw0ug7Han61DHn1GmwdSih/onlDGipLs0E9C9Cf1P9vb9UX\nCiEOAPgPrkPvAfBPAewE8D8DuK6PPyOlfFF/5tcB/BKADQDjUso/18cfhgqN2QPg30opP9uqenaL\n8WEb8zmgYHZL+vOAsdLQDT1sV1gulNRu+GAZxblFtZuslZemI9vWGz1L7PGZadjDthpIF0tOeXLJ\n2tpNapLauVCGSdKhDHeP8ukpPHK7jZU+wBYCADC7zTsUF5Yr1f6fBBJ3GW50En2ppCfylq8cARM/\ndLnX8pTbGT/UwE3O5om7DEelm3O5gQ2pN4tUH9oqeQy6TtRrBylqAWAS4XNnJ4ad3ggbt8rA1HnH\nAyyupEWGW435PRv9/cy4MVFQy+6wTOp2E+FKOhVnupblZ9yMYyi/VRq1/PTH2/R7nnh+cwuYz1Xb\nhVtPAUAZfLnwK0jd8j8+bMOamcYp6Lj5fTaKV9V7YfqJpOobSPuImgUeQohdAPa5PyOlvNDoF0op\nLwE4pK/ZA2ABwB8DeArA56WU/9r3vT8C4GcB/AMAPwTg/xZC7NdvnwbwEIDXAXxDCPGClPJvGq1T\nnLgylMPK+rpa+PbnHWVn+fRUdQcb1Q7ggmMtMursfNTi5rqyKvJbgpZPT3nc5o3lJ1bLgB4s7YUS\nrLFR5I8+FLq4i+ICkXQowyTpUIa7x/jgClZEn6P8dJASEEIpsfrzerc83ovfbhJ3GW44nqatx2/L\n8pYjcMVYfurx3SnXge5h3SXuMtwt6ilLTAxQa2QXlhdLmN2RdxKu1KORMA+2DidlLAVtnZAUhyNf\nwkMta775HFBof9jflpNEGY5Dv9fsd9ay8HT/b8LruNdgxpMPul1ZvrZQzzLWr6QPU/ImaTxJovy2\nm4bX8caq/qnNuoTLb91wTlvWSlAAKKyq/x2lvK+vd7vVjw/bwNR5tYG0WgZWy3oDwIJ15xgAQGjF\nZyuyzCcxGRRpnEgKUCHEbwL4BIDXAJhZuQTwkS1+/4MArkop/174F4NVPgrgD6WUZQDfEUJcAfBj\n+r0rUsrXdB3/UJ+bqM7GNLCTB0dw+a0bjoJyNg8cOTSMwvIKit/+vuczcqGE+d3DEK6O5fJbN4Ch\nnPp8Xi2erbERnHUNhnKtguUGjDcnlyzIqzoeXX8ek0sW8kfTp9DcIpmXYZJ4KMMdwO1+NrAhsdzr\neta+557UxXAXiY0MdyOzujQJkyxfuY20wqInzRulTRAbGU4iZqHt3+T/vD/R12uvA/m+0Ot45Dqv\nvbJ270VhueIofurJrTluFETFb2gX0aXwvuDA6Gg1pulaBZM380lceGdehv3ZqBu1BK2XSd2x/Mz7\nyhojm0HGLo5cahf2M48Fy2+jsaSjkBDjmMzLbxT8/VuY1eWZww85m1VGHkWf0lPM7lB6iitDOZXM\nTsu7vVDCfA4Y1xaiAIDBEcCyMD5oAwdHMLtDCf8jt9tY1p8bH1andsLrhaSDqBagjwO4S0rZ6jS0\nPwvAbef8KSHELwJ4FcCnpZQ3AIwBeMV1zuv6GABc8x2/P+hLhBCfBPBJAHj3u9/dmpq3mMtv3cCt\n9XXPsZUe3QGbyZpeUImxURQ2bFgBGTDNYsRc8/jMNE7NLeJuY80JAP15nJpb9MQLrZmRsN92LD8N\n9SZmMR3c2gFlmCQdynAHcCwCC9tV364tPv0M2dXFMIlM22U4qvw2m1ldmHAHZqHQQPgDEy/WKGic\n+LERSaCiJY3ERoa7TZCy5PjMNI7PTHsUOe5zDO45MLA50RfyfQ1ZgVpjo8D3vle1zEZz7sdBBLnK\nz/fYKNg25NVrSbRASpQMd/O5Nq0INJtbJtt1M5tdfcEeArUSKAFVJW49y88EW9BxLuwiTDarm/nG\nK3XASb4sr15TCvSp85hcsnBG5yoxG1T7d+7y9NEmmZ1j+Tm36FiFGkW8UXgOrXu9YkRfzpkv+a2Z\nmyEOluGkc0RVgH4bKh5Ga0Z9AEKIPgCPAvh1fegMgN+Esiz9TQC/DeBpqIRLfiQQGExHBhyDlPIL\nAL4AAPfdd1/gOZ3GP1DcPaz6T7NruK03p6w4+vPof/ZpACoo9kRhO9BfjctpYnq+/OjjAHTczoUS\nJpcsnByrKkg91pwNQsvPYLIuwyT5UIbbjzOxGxuFvHoN80N6q9ql/LSkSuQBy0KhkqkNpC3TKRmO\nKr9GuWKyOU/eGoh0H3cbJWbeW46CyRj/yMC6pxyVZib8W7HoiWs8uG4RNxnuBkEy2IiiMVQeD+tr\nC73p5LLMDpL3oOsYi7lG6g5UFUS1LD/9FDbUTzlxcMRjgRf3RTllWOEoCZ1EQZ9o6PNG/j7y5fOe\nsoNfeekr1+qXjQwVTdIan1zWc69vBSY7d7NhJNoF58K1MUm5+p+dcI45Fpp37Qv8jFGKGiWovVDC\nqWuLOLJPyezZxx73nH/5rRs4eXBEWT/n8xjyRQFyNnYtC+jL4exjj2d+7kCaJ6oC9F8C+CshxLcB\nOIEopZSPbuG7HwFwQUr5pr7Wm+YNIcS/AfAfdfF1qNijhjsAfFf/HXY8cRgT8iP7enBrfR37d+7a\nNPkTY6OAVd702f0+S9D5nHLbmXXFBwVUTI3JW95dPSfj4Kc/5yn7369HRjshyjBJOpThDnD5rRs4\nsq8Hdw+OOIlqHLTys7BhwdpDy88miJUMO2OmXgB3MrMwnv/9jn0naSmxkuFWspW54eSShfFhG8dd\n8e7DYh7WJd/niaPfCCbOXFjsxEYIckn239OxEAu8mJNaGW4lUTd/VkI8sLeqYG0FYe78USzoOpmg\nr0FSJ7/tWpeH/c6exMkwFpw2zuo6mMTMt9YlBnu96ie3FajBCQO1VgH6co7CdeIDY2gnnD9lg6gK\n0OcA/CsAc6jGAN0qR+EyNRdC7JVSvqGL/wjK6hQAXgDwB0KI34EKOFwA8N+gdmEKQog7oYIW/yyA\nn2tR3VqOv6MI60D2z0xjdvG6ipnh2oWzF0qYhIXit9SgOfGBMcznqubj5lqnoGJnqIvWtwIxuzqQ\n0lN27/KQUDIlw4b7v3K+21UgrSOTMtwJ/AsdS0rMu5PT6D733t23O1YRtLRviljJsGNFEzFeoMOq\nb9xuQlljrMei0gqXxWYWV7USdWSUWMlwJwmSQblQgtAW8xgcUcYAAdPZIHkNkqVmXBvd1/ErJt1z\nbn/dg67vLruTgvgJssAzHl0JcCvOrAy7qVpZljzlqL+XkTG7XgzREDd2Q9z6Zb/bdAzlmPIbgKMj\n0PORhnQEvs9MFLZjvicHGxZurlcCN7OOz0xjW6+KC2rmxScPehMdnT1au78nJApRFaCLUsrJVn2p\nEGIQKlPaMdfh3xJCHIIyGf87856U8q+FEM9DBRJeB3BCSrmhr/MpAH8OoAfAF6WUf92qOm6Veose\nZzDwcebwQ87g48ZYdWJwRC2iLZVR7cJiaVPWNP8uidl5AVo/2GTVlS0LMkzSDWW4/bgXu7YQWO5R\nilBbCEAIWFoJGqNFQKKgDCs64bpY77vTPua3i7TKsD8ZTC05cSca8ideKc4tQty1D+PDKhZ9o3LW\nyrlvKyw/3clpLr91w2PE4LeASgppleF2EKZMN8z79Jr+sqFeUqV29sv1rl3L8nNWb/CN9wdbgnZj\nPEmb/LZ1XV5ec/KS+H/nTcnfjIt8fx4TB3ZgfqDH4wFl+r8wTPx040I/PmyHJlwKwn/fnKsQN1EV\noN8UQvxLqJ0Ptwv8hWa+VEp5C8C7fMd+ocb5/wLAvwg4/iKAF5upQ6cwu9mbdkJ0LE73IOafIJn4\nnm7TcHuhBFgqSYY/2Lt/l9saqx/v0+zirD5TxMSBHbDuHGNnEYEsyTBJJ5Th9iPXKoDwJjtyu1DY\nQjjJ6tjPNk4cZdhYLRhPjFNvRIt5Zpk4WsZiOCSuViupFwKnXdTKVJw14ijDnSR/4iismWmgVAL6\n88AtFe4pf+KoM18+eXAEV966gf36M81aLm9Vvv3JmBqxLPVbfvoTn/oTPpm/DTG0mHPIugy3kgOj\nSslu1nem3AqM7Bz7vS8CAM76Qiy0s192Ng9aEEai1WRVfqP8vm4dAcprEO+5o24fZH5bY7Fp+vjC\nQgmzWutkQXg2f4zhl5E9++o1TBS2ozi3iPLpKdjDm5MxE7IVoipAf1T//4DrmATwkdZWJ/n4d17G\nhwFs2+G4rqO8pv53BWIHqgOTf5J0a33dE//IuAFdfusGLAgcGtkd2nkZy8/y3FTb3GeoLCWEEC/H\nZ6Zx4Xppk/LTJOJwrECxOYYzSQdOuINbtc8zODG/875yG3E8UbQlciPzg6x6f5Da+BOtuD2R/Bgr\nyJvrFcBS1qKP3G6jUAGsmWnYB3ageOkHALzhnhqph5n7hroSdwjTz7sNF2xIx4urnjUUSQf1EhEZ\nGf/gH4UkQdKE9be1+uWqG7q3Lo3memimz69n+crxpHW0el1ePj2ldBdSQl69Fig3QbGNy3ObPV0P\nlYGLeYHB3t5I9Zo4OAJYZczmc4DL47XWZ/2y5FeuUrYIEFEBKqX8cLsrkmTqNiZb2/wIgYn3qk2m\n2R2b3QCM+7sF1Tk0OxlqVLl5fGYaePhHVNKkxdKmzqLbE0dCCEkKD77wPG5WKjpXaEAmA0cJChza\nzaRHacOMvwWTyCTqeLymI/7nc95yBPzeIP5yGNKnZPWX2wU3Tkkotg2sVmB/ZwHzAz2YKGx3Eno6\n8tJETM+t4FZQmrZlsnR/9eNP4KT26DpT4xpuSyeT6NRcyyiBL9RY4MfR8pOEc+SBvQCAl6439jnH\n2094y63oI8e3KcOb2e16/amT6nYyIVGcLD+zSjPKZvGeO5zNpCjXv1QqoTDs1Rtc0ZvC9nrFiQFq\n+lWjbxhaVzoR4z5/5IG9Kus7IS2mpgJUCPHzUsp/L4T41aD3pZS/055qJQ+3G+PxmWlYEBiwpQ5e\nvotCDSgAACAASURBVBj6OTMYGCWjSXx0a30dl9+6gZcffRxAdQJ2a30dg729Tmdh3qsXi6XdE0Uu\nYJINExsRsnU+8uXzWBYI1HtCVq1B71kTzmSQpIum43H6k1rUSXLhxtICZ0N6yvUQev7xyG7livvS\n9ahOQVRiZomg3zjMZdsJq6Dd12ttnLtl6FKppLL+rqq5rUkiNt9kP+m4+zYQi3SrRIk55zZsMGGu\n3MpQ0jnaKQsrPcF98FbXZPWUVzX75TpjTFCYBjdRkySZ9836NegaYcc5nrSOVj3DWjIbJI+zi9ed\nObC//w3CL2crPQITB0dQnFtEYbkC6659zjmNWBszBiipRb3Z7pD+f3vAe7LFdUkc/oZ/qVTCsanz\nsMZGYUNixRLInzjq6TQm9d8fuk3tcpiGaHaTDTakJ0taOwnrHJxAxt8IdtUghBCiOD4zHaz81O7F\nQxsSgERhZQNnn/xEh2tH4o5/gVBrweDna4+pZLNmI8uU4w4XIvGnU+7Zoi8Ha3TXptAPhZUNXNmV\nD3SB74TlJ+C1qLYkMCBVElJAb3rpv41Csxb++ba5Ly7O08GRfT0AAFtbspnyy12rURWzGfGR539f\nl71hLu9e1psPeW+ZpIt2KgRnr5eU9bJQcmRJiYENCUB1khYEbEjcOzLqUai7Q/ode+4c5odymPjA\nmJLFxVLkTd2tEOc4y6T11FSASinP6v//N/97QoiT7apUUvAHMV+2gNk+OEGebUg8+MLzuNuVueyR\n29WgaNwbjOKz8I52TdjhXfXYCyXM51QgbGP1uX/nrk3ZI+vBBk0IIe3h2HPnMD/QA/QGuOo4MUCl\ncuXpoztPmrlU0soSy1euQ7NWnEDV4sZfDrLAcWPmI8uWd37y1cjfvLXFE5U+8cYdo9Mfq9IdX80d\nW81eKKn5bkCc+7Df2yQOyz9ajVN48uAI7O8soHjpB/iVh8eavgfjZXWvLrdT1sxzqBVzzq9UtRdK\nHTF0IFXaGW/SvSYMKneKmvcS4lLsuB0fGtblJfWGXj7WS5Lkl/uo41DkepOuEaYcdCtTZxevI8g2\nrrBcwcXblG7DFur92cXr+OBX/gCHRnY78jJ7XYXgu6mt/6/05wCTFElft5m4s2Flkm2i+ztt5lcB\nnGpVRZKIUUTKtYqzA6waf3XhcnO9got54XQaoi+nMgP7cAaeH1cTPZP579TcIsaH7U3ntwMncLHu\n6M6eULuFtPwkhJBw5gd66p9kWTgwypifaWdF1C6HkVQrTpJOPAmKNH5XxSDmc8D4sI3i1c3vRUns\nZbym7IWSjgdadhSkONw5K53y6SmcQrji1h0b36/4aQaOC+ngnrJW8OS95ai00zrPXNOsV/3fYUKi\nFJZXPGWSLKL2ka3uc0zuErOxMLRuo7BcQXFuER/+ibFN595cr6gNYpc+3r1h0OrQIGFtyp8wj5ag\n2WArCtD22yPHFP/uoSVQ1XsK4cnwO2QDoq/6mF9+9HGUT0/hkdttiL6cszNWflM1uAOjKpi6mSjK\nqwsoXgXEkoXxYbWb7W68bKiEENIdTP9bGKwEx6qTEhYE7rlZweTNPPIf5yI37dyzpv53FsBrjX2+\nGVcvM4/44B/9e0+5HgXj8qgtLgodcnlkxt9k4F6AbuvNebyOwmKAmr+F9npyFIgz05vicBrFpn/h\nCaBu/Px6+GXs3pH2KXP84QFqKbFMNu7xYQCrZRTnFiGWLJTnpjiP7xDdjAm4VWWLs4mQ95VbgKlD\nUcfvzT/7tOf9epnczbjTjOUniScmlnOQRb8btyw8+MLzuFWpoLBhoTj/DtCfx9c+9oTzHqBk4/jM\nNOzvLDjzj3veLgP9SrAv5oVnw83MizhHIK1iKwrQzMUADXNTsY0C1I2UsAAsWwLQsTyNa5C8eg3Y\nvRdyrYLy6Snl6qPd5P1WmJ18yNwFIYSQxrl4Wx9swJPoyGADQF+O/WhGMOFuPrRnQ5cjWAe7aMby\n89hz5wAAtl5ImHInYs1SeZlO3EqiWiGXzPvmb6NwHFdetDiLWkqbYFdcfyIlYxVaPj3V9vlp0DzY\nWIK63zceUsBmhVoYjuJXl+eHcpg4OAL02yrUVY2EpiQZOFnOjYFMiBXlxEFl7DJ5K/g6YXIwn6td\nNgS1j8//2d+o7y6otB6ff1WV4fuuI/equvlDoTgbFIO1lWGkO3RzDe+eB+zfuauq71gtK1mfOq/m\nRjom7uozRdgHdgC2DUvHyS/OLWLiA2OhMr3VuoVtuHYqWTSJF/WywL+DYB2cADDQlhrFlPLpKdjD\ntscC0zQi4wZfeLuM+aEcCsvaGsiyVFIMjds16MVX3lA7HXpwtMZGkT9aHYTMrrlRjOZPHMVZX32A\n+h0dFyeEENJ6yqenIBdKm93EXErQQzfXYd05xv43Q5gx+B5tJRPnyXTx0g8AAB9+/7s85XbDrKzJ\nol68+aAESW7Fj9kUGB9c0ZbyljOvBTYrOlefKap+1WV1FNjXhhBmndpuosacM/P5Y1Pngf48rLFR\niAjhBUi8CFp3+RPbhibuMuPDU42NDwVtpG+sqQshRvsmdNrZgPcCvVVcCH+2eB8mZBvu2hf4Pi0/\n40vU/tBRdus+eOJ9qu89+2S4vNoLJZRPT+GMK/mzHyMbq68UnWMqSRIc689CBTh7VG0ER7Em5jyC\nNEO9JEhB2d8zg3s31x62nWxkQZkhYQGzt/UBQmB2Rx6H3qnAunOP87bfNUgulDBxcATW2EgkN7BO\nNHDughBCSH2Oz0xjdo8Ne8+7AGxssvoEVLZg9OU4KcsoRunTKM2M9Vd2Dao/dAxCp1wHk+zChOwx\n5ShJkOjGng3Cfk+V8KKanMK4mJv/3Z/zKH0swNrj3fAPw20lJ8ZGkT9x1FEsffXj0eanQXFLa8lq\n2Dx4K9ZV/rbywa/8gYqBZ3Ke6uMXFlUSkEYSnJJwutEn1Yuzacr+cBCtqmMtK83+ZyfUezoLvFPW\n1EtiZGTdZJH/6uNcI8aJVqzh/VbqUc+/sFgC8krxbs1M44w24rp0u+20hSP7eiB1/73y/nc58w7D\nh98/4iSINp4Ft9bXMdi7FWfl6Buu1Hlki61JVQYwrjrzPTaMu47jvtMHTyRUC9rdEQD6cs7E69b6\nuidT5vi2ClDYDqyW1bX0QGjcjPwdysmDI857hnodHRcnhBDSeow3gN1XO0DJYC4Ha/dmyyhCamEU\nS43gT76ylWQsnYTzkeRh5pJ2nQBN/rmpWzFkMsr7M8avPlN0/gagslX35TZZya0Idb2w+KP+eW+Q\nhWo9alnQhdGKefat9fVIyaZI80RdH8UxaUo9F3sjt7N5tbAc76/KsdMGe9VatlF5Nfe5skd4yo3c\nN9ei3aFRnYD5TU28V7/C3o1bj4HVMi6VSjg2dT40/EMU7IUSZA44VCNxaL17csunO5QLIQAVoIF4\nGnweOj5FVdM5axa+vt2LASkcl3drbBTQjc24yDvhjvpy1eDnd+3D+LCNK0PVAPP+DsZk4rzgsj7t\nhCUoIYSQ6kRqfNjGxT0myV1Isho9XNANLNvI115v6Hy/YqkTY/1Kj6hZJsRN+fQULukEngZ/coow\n10dAz4sjZPU1cTFn8+p7jAHBtt6cY000u3gdH/nyeRQq6rruMFUG/9x5dvG6k30YgLNID2pj5jpu\n9/u8y7UzbJ58+a0bjnLWYOb123pzuLlegQ3prA3MgpyL89bRTQOQeomC6rnIR72+scL0f76WgtSv\nWPeX3Rm4g8qP3K6UqcZyz5TDYoUGtZFWJm0iwWzF8tPfZvyY38/IVTWpm+3oNUwcT/HWDae/BvTG\nrFPWcw0d/9OCcKw/ISXmc8KzWWa+qxnM2LA/pK8n2YQK0AjYQKCLowffZrh74gUAsExG+BzOPqYy\nwY9/YAxXhnpwa13C1ue63V/cOxYXQiaN7o7O3UkwxhYhhLSO8W1lzPbVGTIlYAmBQyO7O1MpEjvM\n4m/ivSqu5mREKxm/5WcjlqDbepWiyCh2TLkefhc0f7kWW6kvSRZupWahAlij1Tmp3z1RGgWHK37n\nuCt+vnGrdc9JTQzQ/mcncGzqvEoINFpVlt6qKLl2K2RsSCwLOKGpTNKlWnNnG3KTUsdN0OfGhwFs\n24HJm+HPx688CFKC1sKsF8z/7mty7t566q2PtpI0pd2JgupZcToKWJ0I78xj1XszCnZzX36Fu9+q\n219esRwNla/sJUgx2m7Xf6IIe65RdAJBCvJbeYHB3l7cq2XF/s4CgKoMPfjC88C+HuzfOYJLpRIm\nPjDm/MZWpVK1E/DakXkRouo9q8srIii7tJewe3JbaE8cHAEsS22mdciIjCQDKkBdmEZTvLqAiYMj\nGOrJqUHGvSgIyPI7tG6jsGHh7NEn1E51peK1+DTYNuRqGauf/hyQ7wOGVXwj9460uy72sI27AZy6\ntuiZ3DVyL9AxlAghhDSGWbzP77YBRMvmfWhkNydXGcax/NQK0MiWoNJ4lvjKEbh7Wc0fzMLDlOsx\ntK6WHWYxbcpRGLBV/YyFhyk3glvx1QiMU95Z3ErN4lUVx/6R29WGvrF09yfNcGOsgfyEWYsWKmqu\na6zkjIz558pDG7Yju26Fq9vax52lHlBKnSEbgG2j+I03gLlFrP7Z33hk0P7OArA957muvHrNSc4U\nJHfu7zDKTL+b/suPPh64ADdK31rGDiQ6nTIAkTWsGcMSBRnL0OW8t3z26BOe88L6OMeCMu8r+z43\nv7tn03VO6To9slv186aMw+q/ehtp9fp8pz3r67u/u1696923gQqs+phkRLUscP197xmfm/ipuUXl\n8ZQXns/BtgOTaJ05/JAjy853uVUlAk6294ENiZUeoTZcQ/Qrh0Z2O3XZ8m9tV+c19kJpS675JD1Q\nARrAxMERXLytz3vQMdN2xfnUxwp6sXHsuXO4uT2nFjBSNfaBDem8X5xbBITAkfv3qAzxFpykBYab\n6xXMXi9hfLCM4tw7EGOjagGeC8/2F7RbabLHc5AghJDmudgnYUPU9gKQEhaAv/xeD/IfY5+bZYzl\n5+yOvKdcL5Zg1dpG+Mr1udjn/ezFOvFpDVtxgX/pTbUK/tCeDV2OtkFAkkMtpaaxBHXjUQj15zFx\nYAesO0ewvFgC1iueWPjHps4Dg2UU598BVsvKUmfqvMdCbFlIbUeg5FKuKYsiC7KaOTiAySXLSbJ0\nqVTCsvAqKFcEAJesTxzYAWtm2qN8HFq3UVjZUC6dB0cwcXBE1RXV+gFq4W/i1W3ryzn3F8Wd3W8V\nByhPMaMAJu0l7BnXcxU3iABFilE6rX76c55yHDDtszC4XZeXPO/X20hb9g0P/rKx/Fy2LE/5q6gq\nhCcK6rudtuR7PM3E3iU1khHpDRgTb3lyk2WWfuauvvfC9RIO74HudiVurldwsU/1uS/q/nD2tj5Y\n8CbMupVX3k9DJSVny76vMh4my76pglGMmveN4j1qSBB/O3ba4DNF7/jSn/eMDSTbdE0BKoT4OwDv\nANgAsC6lvE8IMQzgPwD4YQB/B+BxKeUNIYQAUARwBMAtAJ+QUl7Q13kSwP+qL/u/Symfa7ZO7kyV\nA1JNQpyJiRCwpMRffPP7OHJoGMs9AhaAe95ecyZI8wPVVq0avsByr8DF2/qqkzVj1WHbKsB7ADak\n2mFZLasg24MjKKyqAaS8VN/ywV4o6c8u0lKiTcRRfglpBMpwbY7PTOPS7nXYonY2b0tKDEiBA6Oj\nVH52mFjKcH++drkNmPnFcq/wlOvjV3g2HgM0+ndVMZafnuQ3qG8J2s3kI+0iljIchpbl/ImjmxQU\nJj6miZcJAPNDtsfy0+N+vqaVKwHKVUDNY4d6lAGB2UxYERKHbq4HWyGFJEwqVLDJuvLQ7lHYV6+p\nTa3VMmDb3kQeto2Vnl41pxfCuXb/s0+HPhqjEHZbLR2fmcZxl2LVrTQtn56Cva2scgIYq7jvLAAD\nPcBqJVGyHVcZbpcSeSv90OSSmk+MD66o8q2BwGs77/uvbdqLTnLkbz8ntdffspY5Uz6DqsK2OKfq\nLXzWqcVXvwsA+PCP79XlN9Qb+qst4d2cs3ybwk5sYK0Uc8cKriqLV3xl732HhQ5od1zXuMpwI/iT\nERlL0Mv7eiB7bMiFxeD+dlC5iUPHXLYgtaGX14RzpQc48sBex+re7S9ya33dkYtCBcBaxaMTAVye\nJhsShZUNJx/K/FAOoj+/yRM26m8bJgseGetXYVio/CSGbluAflhKuegqfwbAy1LKzwohPqPLvwbg\nEQAF/bofqi+/X3dOvwHgPqhgEd8UQrwgpWwqhaJ/N/aizwjUBvDh94+oRu6KWTFxcKSqBB3KVV1y\nNMYK9MgDalBxu5ut9AgMSIEVoTqOe95ecz43oQcux5JEB4Y3A6jB7e5hdnnkVfVYuZvWVmIlv4Q0\nAWU4hNnF67BrWcRpq8973l7D5K0B5D/OiVWXiJUMz/eYmYHlK9fm0E2lHJrVrremHIVmLTkHtO7S\nWPIMNKDLrGdNRBoiVjJs8Mc6DMO4PhavqvhwjmwMj3jihR4a2Y1L3/seCsuVqoswAAiB4vw76H/2\nad88Vl3vyAN7sdyjE8/15TDfY3sUoyZ0w+SS5UlYB1Tn8/ZCCVafkvFTc4vOHLkWKz0CE+99l9Mm\nH3zhedyqVHDPWvW6H/nyeced+ZC2BI1K8dIPlJeXVnYZayUAHtfphLj9xlKGm8GEdTDxahtJaOhs\n7mhjF//mjmkbF9+vQ6TMB7uCOwr+Ww1UHLWtV92Wce6ywXgrGEs8v/eCiW3ubs9uasUYdb5Lxyb1\nf3et7PUdJJYyHKX9hyUjGt9Wxs31HNBraevb7Y6+AlCGVaZsvFbdOgpl7CXwtY89gWPPnduk1IRj\nvamKFxZLsPICA7lqwjpLKoXqkK2Mw9T1N5Rn6yrw4uwS+p+dcO7z1NwicG3RCc3QLO7xi5afxE+3\nFaB+PgrgQ/rv5wD8JVRn81EAX5JSSgCvCCF2CiH26nOnpZRLACCEmAbwMIDas7Wo+IPwGqWnrC4u\n5odyapLkUoIa93nTkSz3Wkox2iMwVMNawtbXC43H1Z/ftIPh7xjN+2YSaI0xBmgHiZf8EtI4lGHo\nBYJeoIRhARjM9eHsUz/fmUqRqHRVhpt2K7ft2uVaH/VZbvrLYRwYVRYSZsFqylGoWvmte8pRMMqA\nRmOA1ko+kjJi2Q8HPe/y6Sn8/+y9fXAc533n+X0aLwMQoEnCICQakjayNOKV15S5CmPJcUp+0ckr\n8aqsrNfRhvE5suQ7cVn0AnR8uXh1VZdUUqtykk3EwS1LJW2iSHYY+BRbOav2KDtcOQ4rdyutbBVM\n2M6RIKVsKIgSCIOkRRAYDNDP/fE8T093T/dMz2u/zPdTNQU8PT09T/f8nrff83vBcElZ82jE+Bik\nVmLm9qnER3KtpOLKbfLFchICyPV75Mc9j733Glu5rAs1Rz6ZE7ClVelB5fr+sLBRxrPLw0AOsCxP\nhvq5oT5HCXRyywBqJeNwU8t93VhlGetB832wLAw8+lCWZDuRMtwKzG9Tjt8Z/bcycj64EdxvTgwr\nBfiydgM2ZUcRWMPDoFYmd0CFfPBc0+BvU75y1NAA1QiKHwlUz14PdC6uq4/Ey7D7eeQO7oOlN5DE\nTdfjzFCPZ0PGefa6z5sb7HF0F0Es9whH7/HxbxzFyuZ+3PrOGmCXnGstB8xvbEhl/astOlXMT8tz\nzLpxHDsBPN6E4UBUq+AM9KWkDcSpAJUA/loIIQE8IaV8EsA1UsrzACClPC+EMD3gOIBzrs++oY+F\nHfcghHgYwMMAcMMNN0Su4K1FiRkTS8tt6u/6N7+yoXZE9CBUmF3E3jt2BC+ChHKJV5afFvIbFmZ6\nlfXF7strSnHqGnAcE/ENlN2FfLgDSbsbvbOb1iZ3AdI5+QUal2FCqkAZDuDAieOY+fl3V8+IrXfK\nX/yX0S1DSFtI/DwiKv6FYdhCMYharontoJqrZWSKa7XPCSBjni2Jl+FqCUnsEVtl2AUw+QvjwFpJ\nZUzXIZz2Tx+FdCkjncX2QE5ZO+b6PQpw/xxVKT/LxgjKAwuAbas4ncaaVAh1hpQqbBRUvDdHVlxJ\nZopHpoGBnKOoLZy6jIEHPqf6/sULwQ9B6nh3Qt3bUF8O+ZK6rsm4/cQDn4v0PIGyh9fUVTPXrwy1\n0m633xaSeBluhHosPw21Nnf2Xq8s6Ja1gYspv6jf91vY+cvGA/De7eu67F3Gb+pVZeNObMoeQjbX\njPx+/NmvecqGqyXdX+vxxSlrqikpnez1FgLPMQmZJrQL/OHz3gRNHSBxMlyt/ZuNEltv9piEa+73\n/Ba5+WWluJzcucWxaj/5rn6PW3t+ZR1zg+WNW7+kWDeO49Rbb5WTGKFs4WmeogXVdszGl7n2LVu3\nVU1sZGQgSyFuSHKJUwH6YSnlm7pDOS6E+P+qnBs0m5dVjnsPqI7sSQDYs2dP5K3cuR4bqBb/TUrM\nDfZguVcpMv0u7mKg39ntcC+mV3rNgOatyuCGRH5DOMrOqSs55HRmNn/GPL+7fpAlKABnNy0s4x5p\nmI7JL9C4DBNSBcpwAPbr87CHqw+NFoTq30ncJG4e0Wg8zpUeq2q5Hcxc0PMC4StHoBXWQOK919X9\nGaDSOijlJE6Go2CyrSslpp6IrpUA267Ijm0UheZznvdXi6EL3dzBfdjtUwI4DOTg5PPQBgiTO7cA\ntu24xtdKIAoEWy6LgVx57m4eY4Q9hSgWzY4Xl878fuimUa+hwq7RJCo4a5FaGQbqV7DUWn81w85r\nrwXgssrXZYNR6Jt1Zj2bQcZi1bQPfwZ6R0mpr+2/r6hjm22sm13Ky1aMF+66tIFEyrAnrqcLf4iP\n05cuOkpQI89mM/Lj3zgK2HY5VN/m8gVtoWJ7GuaG+rAsytnYDUpxLZWLe4+FwQ3bIwfmf2Opf+DE\ncVxdX8cml9Wn+57CstS7cceTDsLIgpHjFPabJEZiU4BKKd/UfxeEEH8F4IMA3hZC7NA7LTsAmBnP\nGwDc0ZqvA/CmPv5R3/HvNVonpzHpOBfuGENODAtXfIxayxO5Vqo4acgGdo5t9+yUnb50ERgAlnuB\nmV5geGgTACD3wP2eSebMlhywuID9euKUL6EcPN034fTvxB0OMXEnjZFE+SWkHijDXg6cOK7i09l2\neMZ3qea433vLQu4grT/jJoky/MIFNa2602RHvxB1muXN5F6P2+2grRemlrdc83Mb3sW0KUehWry3\nWjSaRCRFFnGRSaIMR8XEm997xw7AslA4dRmAUioa112/kuiw/qwYH/O4gQdRPDKNw1By8aFv/jmA\ncpx8Y/UJKct/fclFrfEx5Wap5cMvd1InDHV/16Fd3jiHfiypEtfkHlRJn4pHplE4azYSamtJjaLC\nrbgIIya337pJswy3izAleDPxRQGUvQG11XWYd2AgNRIo1cKMZR+tMbYFuVRL8116rJG+7zZ9f0XS\npw6RRBl2x/W0xseccnF2GthU1F4i6nleWS/h1MKCowR1Y0LbiJt6gQHb44oOGBd1bYS1sqGVoO6H\nA49qd3BDWd4bCrOL+NiH3wPAa+y1e3S7kwzO3A8QHlPaHeLGKD+ryUGtxFmEVCMWBagQYgiAJaV8\nR///CQC/C+B5AA8A+Ir++y39kecBfEEI8XWogMOXdYf0HQCPCiHMzPsTAP5tM3U7cOK4o/x0Bwp2\nMzfU53nfZHk/NqOSAPwP2hL0/37pvA467P3c4bcDgvuulcoDGmovJvIlNfkMyyRoMIpRE0yeHUTz\nJFl+CYkCZbiSU2+9heUe4XU9lt4QKBZUKBP2n/GTdBmu137TKHbMpqs7IWItjr2qFpwf0XFrj736\nU/XGp2t8Ts9ZPmY+p8uIsCY3m6ofvVZ6yh10WUw9SZfharjjIK70uBJoadd3BMydAR0qQVs51jMf\nvVVnf/dg+mf9tzC7CAzkMLlzC6wbxxtSGJp63XuNymJ9y9ZtmLmwgEGpFAlmTm3c/z1JSd2Jb4pr\nOPze6xwvLnNt87/hlq3bcGphITB2qP/cJJJGGW4mizvQGsW0P+N1VKauaOtmO3jtd+ycUk7eu121\nlWPnN5z3CnPvAAD27u7zlA3mPowLfL33tfobfxBYHvjj/1WFeQAws9m4Wm8gKSRRhj0yumnUsZo0\nmHB7lpSO0jG/XAr09jR9mpxfAIa34GaUN6aG7LJrvHF7f+FtFTrkzFAfbr54FYWTFzD5/nd7dB8A\nPPoRZ76irfE9ylp9XpR259RTjyPV2qaxgi28ouceN11fcQ4hYcRlAXoNgL8SqtH2AvgLKeW3hRCv\nAHhWCPF5AP8I4Ff0+ccA7AVwBion3oMAIKVcEkL8HoBX9Hm/a4IPN4KxtsyvqoHJ3bjdO1rmuMn6\nbuvYnnt3jyC/XIJcK2FF6PPM7pytYxXNvQOMDzrfZ3bD5fxlTO4axZmhPk98jNzBfXhCnzsxUN4F\nctCm37kHgwduMzlLrL9pOkmk/BJSB5RhjbHEMFZwKz1wMrwDOgaSXtj+zQ9+WleyF9JWEinDZlJu\nFiVRXRQLP1JKy4/84g5PuR7qdprXMTgdV8YGYnJGtxkt02gyo7RYxNVBImXYT9jzPnDiOOb6VAbg\nZQFPlmFnkfwL457PRlHq+RfKq48UUDAWYyZ2qLH6NOhkSgOPTsKq8R1CL5RzB/cFyqBps35DBM/9\nnzjuuLOvfukP1THpnWlPjNgVdQmKdTjhSiIVVJ+Ey3kqZLgdVAstVquPGu4NjvHcqliYQcn3vnjP\n+wCU4zabsnGVdhRs271lf/8cNayLm1rxRQ0xbS4nWoYLs4uePgtQfaKx1oTenHFkBd7fztmswZiK\nzwwVe/bq+jpEfy/mhmxn/js32IMJFIE1qARKtl3RrwXWUSvTv3hPpRLSsfycjZYLKop3AFAOhSO0\nnoOGCaQeYlGASilfA/CBgOM/BXBXwHEJ4GDItZ4C8FSzdSoHcweQy8HSSS6OvXRedTw3Xe802zE0\nMQAAIABJREFUSCeOhitjOwDHesi4oc312IDLmtSNM8HTA+hkfjNO9kvY6yW8urgQeYLv2X0OoIuy\npnaMJMovIfVAGS5ztVTSiTV00HcnoQwwtF6eGA6t25jcNYqpRC/JuoesyfDe23WsNy1/pvzdCJ81\nniZGdk25Zly4nIpj67iz5aLHtTVJj9BMEqQuJ80yfNfzz+Lq+jps1xTUWAgZKyAxPgZrXMlFYPiC\nKvEu/XFEK8j1l114fZnkG1UYul0q86vAY6/+RJX19+wvqfBTO8fGPPdh73mPCgcwvwAU18oL+NUi\n7PkFTC1ZFXNv42kg5xYc5W5xSVk/Te4ahXXieCpCPaRRhqOui2q976zr6lhWmQ1XYwHqd4V35F73\n4TXbQQhlD4Jg78AgamWgrxV/1CjpzFpZuCzyzLPMbyp5yv5nG4esJ1GGq8nogRPHYbsSGVlS4tTC\ngsfTc2K4CPT3YcoVRk+eLXu1XlkvxwF1Z3Jf7rUwN6jmBMazBEClR6wQKtxIf5/nd3ZbfoZZelZr\nV1HO8Y8lEyPqeEaSIpIOEWcSpMRhjY+VkwZpq87JXaPAgHZzGcgpCwm9G+KOEQoA8AUTXu61YEmp\nJjqu3WpnQNOTHqNM9QQS9mEsQYOOG5I8SSKd5fbnjsZdBUISjYm/bAsgLMOF24oiv7IB68ZrVQIL\nQsJoJkZbhylbM6/4yrXxZ8sOzZ5dhUY3ZDnH6Qy1Yq5u6u11FDnDvX24uVhSlssBysh63LmNZaaZ\nK7stgkzmdr+VULV4cX6LUveCPcjycyZnkipp7W5I1mxAx/Ac6kNu3/1OEqSJERvYNOpJxmT5EpTk\np48CayXPfTgxSbXiNCj5CYkfI09mo2nKZ20HNB6n2LSbwmylrJrvABDq/eeX4YmBspLS1MEoXSvq\n5JdzX/mMCQ+k2/yZoWAr1mo4SmO6K0fCr2R2coC4fhsngbJGzi8A+c2Y67ExMVzCTK4PyOUcXYM7\nfieAitjF5n3T1/qZ/MAYrBvHneRt7hilcZCxpIikQ1ABqjk8u6g6mn5v9rO5oT7kdaiSgUcn1c7L\n6/Mo/HABGMhh7205rIhyDI5BKbAihJM50ihSv3jfbmcn2GDid5qdYLelkXNui+Jp0fKTEELK2K/P\n4+pwb7m/l7JiImiCw996ZR2FU5cxEOK2RYhDf1/1cgjfvf+zAIDbdbIXU24n1RbLhARx+tJF7J8+\nCh2KEBbUfPeWrdtw+NwipFZ+mjmnXwFUSyHkV1ZCiMBFuJxfKLvDa+OCapmFo1jSOQtpvbC3blTu\n+6cWVHnZZe063NtX4SJvEt9YJ4573KPNdc2m2y1bt2lvsz4cunEU9ojK0OxX6u4uIlbFQtaJqjD3\nW6M1Y6VZKwmS28U5qI61MtBXyLBLOWTONZsW/s/WihFaK/GdqevHv6GUs9/99L6K92pZftZSHHeb\nN6NfuTdn3NJR9lBa7rWADR1uZLUIWJZjHTo35Oq0BnLIr6hNqsk978HJnG/jXwIWJApz73g2Q43l\np9nQGVq3IVzJ2/x1rPVbR/ntqp2TwVA4JAaoANVMjNjKZV14A5rnl0t44sGHPOfODfVh8gNjmLqS\nQ75kA2vrQH+fM1E5cOI4ZhYvYHB9w+MibzANe04PEst1B+5S+HfU0+AuQwghcXPX889CDvaUM1YG\nKD8Ng1LAunGcyk8SiWoL0Go447mWw3rG8TmfJY6/HEajdQVUhlegPO8w5aTTbQvoZgiyGDtw4jjs\n5bLCx9nsf30eEyN9KJz1Jq8IS4bkx58lHtAL74Gcx3DAbx0ahdzBfdivLS6nruRCf3tzv/unyx40\n9vwClgMsMa+ur+P0pYuByiQne7N2Q41iBWuUxsUj04CO90+SiaMQypmy+sdtZWlkKKz/vrq+XvU7\nGo017ijec75yBGrFCI2cJKmKxXTUmNjdjl8h7MSqtwBYlidpkQftlm7YOTaG05cu4ublkg7Tcdl5\nb1NvWQVkQcAWEjaEsmwesJX3ys4tFb9nfsMClktOHxVV10DdBEkSVIBqrPEx5F+fdzLUAfAsRE5f\nugi5VtKdjw4UbK8Aq+XTzUDz2Ld/gkl3pzGQ04GtLed6QKXic7i3D3KthBcu9HJyTgghLcSdQfPK\ntRuAe/IYoPy0IJDfsDB1wULu05ywkfby6oW31T9aFp1yBPIbajIx0+st1+Kxb6sYhyZ7vCkjwgLF\nLGI+9M3qC32SHUziTnl2Hnvv2AFYVugGvmNd7FrAuxN8+jHz59zBzwBQFnBzQ30QA8q93FFgHpn2\nuLIbd/gwqyN3XE9AWetVsxQFwjcCTOIadzZ3o6AwHNDWn1Ow1Bpgtegow2Zy3mvdvFzC4dlF5549\nuQgWF3DbKJWgcVDLgq2ZjSNDoxtGJkmSyfJuylG8BZtRjgK1kyT5E0oGWbmGPataVn1RMohnmQqF\nuWVhcMNGfkPAGh/D4dnFcggNKDd1AHj8U3c7fefEMByrZawWHSt+oLyRVUF/HwqvzJev2d/nbEgd\nGq9eZ78XQKvhnIM0AxWgmse+/RPs3T1SYQl08l39uPX1ecjBHr3bot5b7rU8Vhb5DVdCouIaCicv\nAFJi7x07sNKjJoNhCYssfc1btm6LNCD5J15mkmT+slMghJBKTFB/iAALOe1GacHEVLLwxL7PdK5y\npKsxswPbV24ne3fr7AEm8ZIuR0m8ZBagt2rFUiML0k5ahHT7AroR/C6zJtlE4Swq4sgVZheVS/pA\nzpP8yCiJZEgsXL9LrxPjLr9ZKVLWS9g/fRRnhvpwcwP1P3WNjXzJF9ez365qgWYsOAGl7DWWqChW\nWj35Lf3ci30T73DyF2poCly4cxGQZFLNEtLITcEkpFny9jNRXb3DLJxrJSIy68x7t6/rcnmZP+eb\n9vjLtWKEOnXaPhJYR6eNW74yot83CcZYa5q+eOfYGE4tLGDOAnaak4pr3g9pS9CpJQsTw8pwK7+s\n5CXIS8QkfwYArBYdl3ejTDXXk2fPqT7RF6ov7Dc9rd3lw0IvEBIHVIBqJnduUQpOtyWQXhDDtp2s\neJYsx/t0737P9AL3XmPjhSPT5c8N5JBf2XBicJiJt3Hx2Xu9uqbpFAA1+WGSDZJk/vbv5us6/yO/\nFH3yT0ircSs+Tn74PQh3zlLc+rO1CrdLQqLSqJWNWXiYRIjOQiQCcz1etWm5XJ2VXpO1UfrK0WFS\ni+7BKP/EkoXCnJJrkwjGj7GSHLKVt5OZKx/QyYDMItjfXrBWwkp/r2eBfrIfsNdLmMkBh3apmJn+\nzOqmnzex9U32YzHUB2tsW1mpqMNVNcLUkuXMzx1ruJHyfQFaweOr5xP7vMovY7Unz85Duq71eEjc\nVBIPh7Sr++O+40bpvZyzPOVWbJg6crUavLFUy/rUKCVXrn23pwwopRlQVkKasp8w93zj+r/c6y23\n0p09TOajZAfPEqddMTaBsjJ5yC5b/k6MqERU9vwC7r0GwPZrceyl84AQKJy6DDE+pkJxbFrB3GAf\nlnstzGzJYfflIlZ6BCwJnQRU6TaAyo0tAB5FKoAwW9EK/BtohCQJKkA11o3j2A2XO4uUGNqQFZ2B\ne1mxLCTc2YNXhMTEcBEFlDO7m126mRzwsQ+/B4MbEi+EJEv1d3hhMAAwIYRER84v4GMRlJ9DGyoA\n/MCjD9U4k5BgqlngVMMfzyswvlcYllW9HMLgusrwaOYpphyFWsk6qhGHNVC3LaCbxZ2wJwjjdj6l\n43GKm66vUEjaw0VgsMeRR/v1+YqkYFNLFiZGbAyt28gvlzB1dRD3DtmA5Q9RomONzi+o2HRaY2pk\n5zFXYpq5oT5MDGhX8vWSSmJkmoTOsF7LDd4tL1NXy9m2nQ01/X2Fs9rlFNqiroF9M8ZFTCZR12RB\nGOXg1FXvcaP8ntCW84fPe13YjVyZz5uNhnq/1yi23ErKWu7zzqaEbmv+frlWFnjR731fuNo61631\n4U84BQD5EoDVkurfRsr921yPjWUhgB6BvXfsQH65hMLsIuRrb2Dy/e/26CIAZf2pNlhleeyXAvmS\n3tAUAgN/9JuBv5UnTAfUJsFpHd7EP577cYcQISRuqADVuAelk+/qVy6QWvlZmF3E5K5RnHxXPwCE\nLqJtITAz3Od0QJWLEAFYwplYvaiPtis+BiGEdDsmAYaN8ERHgFJ+5jeshpMPEAKUrYZMIokwKyI/\nzViAVlt4ViO/ohSeJva5KUfBKIKM2/wLVCx2DfX8xvnlkuNKCShrzruef9axCjq0awxnLl10shfn\nDu7DTh1H0yyyd49ud5Sxaq5emcjIn5jmzECf0x6aZWLEhqUtVx2LOm2h5/7ufEkphYzywu/R5Sz8\ntcLJtCEnXID/PBILtbKlG0vPVlp+GsrzjxVfORq1lJRA+OaaX+HrL9+s18Smjd3sMxAysT4/9M0/\n95RbSbeML06M7ef+AjakY61rzy8gv6F/V/0bu5Wbyz3AjNZVINdf4epuNpqM58beO3YAgLIcHcg5\nn2vlPVDHQZIIFaAa6do9vvVna47S0+B0KKJ64gwINbgYKyKTEX5Tby+urJewLCoH00bjY3CSRLLI\n7c8drX2S5uVPMUYjqc7tzx0F+qsoP7Xrz7GZJQw8OtnBmhFSphkL0CslvRAVvnINpnQWhDuHNzzl\ndlPLCqqdNLqA7hbL0aDkPsO9faEJjHIH95XnrL7jllZkGqwbx4ELC8qdU6/ZnUzqvRaADcdFHvDG\nItw/fRT28gKkjq3oTyw05AsDccvWbZhZvIBBW+KFty3lBjrUB1gWppYstTHh+i73vbtjgOYO7gOm\nj8J+fR7F2WmP4tOgrqvd/NdLHsXRAd93uK/rTxRF67hkUEsRWA2z4WV+00M3eTfATP8xFdKfODKh\nY9ZODHitg2sln/NbDoZZcAdRLYZnFIw3gK2T6pmye15VS7a7pZ+thbHAN9a45ve0+oHvvWVh75DO\n3O53SDfxvLUhltuLdW6oz6P8BHTCRN2nGWW7efZBCbaqWfLW6r/Yr5EkQQWoxjT8wuw57L1jB/be\nscPZVTE7JNWshwA48TRsIZTyVE/QkKv+OZP8yEzk6s3MRwghxEvxyLRKejRc3RrOgnL/ofKTtAIn\nQcY3kp8d3Z8UzJSjuOLuvV7FC11etz3lF0M/QbKCk+k8JA6nOWYUiRPDRccSyRbAslBK1avr67h5\nuVTOjm7bHvd0t/KmVvw5Z6E/kHOSu9iQWLaUUmmupzwOTIzYOKkNE6phLD9ncgByfZjot4FNo+Xk\nRk5MxEq/d2PQcPrSxQolqMEfz5Ekg6hKxGbihDca9sBxUxfecpRx5t5rbP1Z4SmbpHemDc1s7vOU\nDbXij07u3KL+0dc3Zfc9UsnfHLZQY60TV9Mbic9huUfg5Lv6nd96SI/TbuUnoKyXi0emAV8Ik1bC\n35okESpANU48qy/9YcV7y/7kSG5cWeNtV090MicAKfG9t8oTxKCOv6gDtQPA7qIaUA77OihC2k29\niY0ISTJm0X1yuFd3yQH9t5SwAPzN/3se4r3XdbiGJKuUE2R4yzXdJIVZTEtfuTbDfd6EiqZcC797\nXFBm2DCksYTTyh8ZYBkXRi0rqCTRbdnj64nVZxSERlFkssS7FR7GEhQLC2pzX7cLuVbCoG2jMLuk\nFImrRRRmFyFcybQ8ddk16rHMrEgspK2ID900WvFdZ4b6gLUSli0V7sFYTl1ZL3linZr72D99FNhU\nBFZ13FKtEILbIs6sCQbKVtNDNrDiG2quaIvQ/dNHMbVkeeToMHwWtFQUJIJa2dANQUrMqNbtYYm4\njFLVSeZ1ddDz/qkFrSy3fGVNNevVFSeurvSVNf7QKb5yrXs7s22T+se435tyBLqtn62Fs5H67New\n3CNUn2U8PDyhPVwaUJc+wkI5bjIAb1g+IRzPp6KJ4eySxyi/RVCbYP9F0gQVoC4OnDiOU7df6+zm\nDq3bSvlZA5M9bXBDOvG7IG0MbkjIs/NOB2PvGg3O2De8BdCZ3ezX5yHPqgGt2wcAkg2YNZ50EpP1\n8uRwefc7CAs6zmKL4h0R0gy21C68ZkNVRsvkDjTuupjXpxkLvHwdHo/HXn4LALD39ms9ZdQR9o3J\nX9KBO4ab462U01ZFvgRDQOXc9fDsIuT8IsT4mEexY45Z46OwAxIpNYJbSXrIFcbK42XlUgy8WsX6\nsjC7CAzknEz3hbl3MJnfjMldygrU8/5AruweP6ASIi3r53LL1m2wl73fQ9lPPmGWn06m9k3B8l6N\nqAngnM0oXxKlWlaa1axXd49u97xnyoZa8UPla2+of97/bm85wndHve+w5FHdhjHGWv5F5YE6uGEH\nWpqHsamvT29Kqr7ObC6Zns/9nE1CO0K6CSpA/fgSFw2ZxAQ9wtlkCYq7YZImnXxXP2woF4PlXu0K\nP2CjMK929kxA9OKRaTUBym92BrLdl6NbUBBCCPFiNpvmdGKWQIzl5//zJjCQo+s7aSmNZoEf8iVB\nGqojCdKKMOcKX7k6xh3uYzpmW2H2p+qNCGuhgT/6TfXPs1/zlusgzAoqSXRr9vgo1jz55ZJS/K2V\ngP4+J3b+xIhd4R7sLLKfedrZ8MdqEfLsORwGIOcXAZ88BCpNtCWov57FWdX3F49MO5ZLxrvKWF+7\nky+5sSDw+J13Vyh6HYXsM08D0LEM9f/u+4Kl5u6Oe+lADpM7t2BusAf55ZK2lFPeYEGJj/zPuttk\nLanUsvwMitNpfrOCjn+Ze/Shur7T+c11v+qXAROn+d7BdU/Z8Ni3fwKgnJzOlHHn3c79mDj7dVvs\n+TeLfeVaWearXtrcp/aYyD3Y3bI/qZXMZkM0v7ymc5EIj0PT0IbEco/r/97ym2Ig5/R3k78wDmt8\nFI/7nrNfwQ5075hHugsqQDVm4mN2bN2Z0kwGeFsKWEI4CY0AAELAhlq0zGzJeUzQAR10eAPORM/Z\nOQzCsmDdOA6hBzR2OoQQEp2J4SLmdo+Ehy3R1vq3/mwNEIIZ30nbqCeJkTrfqlqujv+76vvuejLO\nG8xc5tjZ86p8ofVWUCRe/L/TbaNjsMbHcBuUgnDq6iByD5ZduMWS5SgD3co+o5BcfaSAgraSlANe\nxY3fCsmEh2pGSR4UozHIgMGG9LjC+ymcuozJnVtUUlNtsOAkSR2wAfSpWHpL5fn91BVgwl6puBYT\nH6WfarEwnTVeiDW0+Z1NaBT/714OoWJ5ykaJb66T14r43MHPBtbRbxkKVGbj9steLU8CZ7P4z57y\nlkO/O7qKwdTFWGl3e7s4+S6vcnnmXf1l93ap+qyhDYljL53Hxz78HgDlWMSWlJBrJeRL5edp8D9n\nWqKTboUK0CrMDfVhcteoUmwCTjgNuVZS64uANYZ7B8YoUaeuDgYGblfxgHS2ectC4dRlDDzwOZVp\nkhBCSF2cHO6FDYQqP92Wn+K913GTibQcs6Aw4ReiLzC8Vpzh6V4q2b1dLcAd18bt0ZRGJkmFWTgF\nJa0gCvYV4RjryYkRGzM5pSA8cOI47ABLUIMYH3Niz4U9W+M1VU0Z4leyAlD9e4Di1O+i68aeX4DU\nHr+vLqr4oRMjNjB9VCltdYIm5Co+WkG1GLfVEh8xDmI6qKXErEYt9/k5r9d5Rdngt/w0uBP6AvDE\n1K1FrZAojvJMr4nD2qVjCV3Hd5Po2DquvRjox+QHxnDrlXWgv8/53QY3JPIbAlNLlhMGxB/b2SFE\nUe//n5Cs0XEFqBDiegBfBXAtABvAk1LKghDidwD8zwAu6FMfkVIe05/5twA+D2ADwISU8jv6+D0A\nCgB6APyJlPIrjdbL3TnY8wsqMLuO+1OuvNp1WRGABQkbZjembFVUmHun7PqyslEOYC0EkOuvMC13\n6O9zBi52OskmqTJMSFSyJsP7n3laKT+rJKuzAPzND35Kt/eMkFQZjrqA9fO9t5Qf253XbnjKUTBu\njh/Rruxut8eq1Eh60S7qSbSTZZIqw4aoyWAOnDiOUwsLyLuO2fNKwXdo16hHEepWepp5sHvxvapd\nh83CfPWRQmD8fPO91ZSsYdw2OqbqWyp/j5m7h2Fi6E1oq1S7qO7PY7Hmc88PImuyn3QZbidBMhnV\nfThMSbhzzLuZZcp+9l6vxocX66hvLRd1Y2V6+zeDE/eZNm02AZxyBGp9Nq52kVT5HQwIibPcY4ys\nVH93s7a0LZy6jIFHJx39xdRSb1nufApPv/K+WtgSQrJMHBag6wC+JKV8VQixGcAPhBCmhT4mpfz3\n7pOFEO8D8KsA/imA9wD4z0KIW/TbRwDcDeANAK8IIZ6XUv6kmcqdvnQRss/soq2oQNQ+t3ZAYnBD\nYqVH9ZaO+5hlqYX19FHkV0oonLpcEdPI4B4kp64y3knKSLQMExKBzMhw8cg0Tl6rLT8N0ms9t1tv\nTtHlPVMkUoajLmD9OAlbFhc85cejfLi4Vr0cQq2Mw9WQvgWsv0wikUgZNhhlhAn5VE05kV9Wc153\nwiAA+GKVPjfUIMCHO36+vw7W+Bhy++72KJzCLCnhSoqUL6nrTphE1atFFH64AHElh4kRdV0nvuhS\n+dqW/v4oGxtByq+guvjPT5nlZ6JluJ20Q0lnrvmhbzYWp9PIzOpv/IGnDJS9EYwCLcw7IUwNZpS2\nJr5oYXZJvbHP+92B8mvc6bWFOCIm6usAqZFfC67wApaFqSs55A5+rupnwuTHKO/FkoW5zTZEfx9y\n++rIYEhIyum4AlRKeR7Aef3/O0KIvwdQLe3zfQC+LqUsAnhdCHEGwAf1e2eklK8BgBDi6/rcpjqb\nW7Zuw6m33tI7ZH2VcbykdBIcGZz/+y3snz6qBgkT58jtlrNaxOojBWZcSzlJl2FCapEVGV59pOBY\nvXk2qUQ5DAkAFH70U48FPkk/SZXhU2/pbOh6kemUa9CMdc3eD6kYYMZ73pS/W+NzRmlpkobJuejf\naTYTGlGeGtJu/dYsSZVhN9Xcvj0xQjerkFFzPSr0k4mROeN2J18tAvnNwIDtuIcD3hihTiZ1IdRG\nlstF0/Tfpy9dxIETxz0xZKtZgvrjbt42Ooa5PnW88MpiXc/Db6l2+tJFyLUSDs8u1jW+mLABB04c\nT3U7SIMMx0Gzc43BkAgoxhrbbEqY8oufVMorx4JaY8oDj06W25ZO3uSUfde2hbdsrm36/JWeDU85\nCrWSNxk63RaSKr/LPt2DKRfm3sGktojP+Z5VPc/OHbZk2QKwXsqMVTohUYg1BqgQ4ucA/DMALwP4\nMIAvCCF+HcD3oXZkLkJ1RC+5PvYGyp3TOd/x20O+52EADwPADTfcEFgXz0Su1wqw+nSuFno/1viY\nmixWs77wvccFebpJkgwT0ghpleHVRwqOJUJwX613yy2roQzVJD10Qobb3QfP9RgbZstXrs2K5Y0b\nWi5Xxyxg88srnnIUnLmLk4yj/rlMyizd2koSZfjxO5VlpXH7rrUwtsbHkH99HoW5d/DFe7Rrb0Cs\nSz9GWWqsRoOYGLFhuZSepy9ddN6z5xeqWoI6Gder1WWgnHzUbxHnlk9/Yij1BeV4oVNLVtkKz6V8\nCrJKDUvylNb2kEQZThp+2fD/1v6EvHUrpap4AxR+9FMAwN7br/WUo2K8EuwaXgpBlqXm3OUan41z\nTEjLXNhtEd8Mpy9dBIb6AK1Md/ephGSd2BSgQohhAN8EcEhK+TMhxOMAfg9qBv97AP4IwEMI1jhK\nBFvpB+6ZSSmfBPAkAOzZsyc0s8CphYXyVUOSaAxtSMcE3WRpc8edOzPUh8k971FWoMU1INevJndr\nyj2I1p/ZIYkyTEg9pFmG99bI9j60Ien23gV0Soajyu/Oa9Xi0nGB1+V2cmtRVcfEIzTlWhxyW+kB\nOHRTdLd7JyHG5j5PmdYj9ZM0GQbKioiJTSuY6+lDfn7BY4UJBMftK85OAy5lqTvphj2/4MioJzmH\njkc38OhDgQpMt+u54Zat23D60kXcvFyqqRBw18Us8pct1V4mf0HpLqaWLEfJ6pZhf31CM9OvFgHL\ngpy/7HyXvXOLCoXlQyU+LaqEUYsLmWg7SZThWsShbKuVJb6WJ4A/kZcpG8R7rwNQVrSbMgB88b7d\nAMpKSFM2/b2x9Pz4s19T5U95XaL9CrIsKczSMhcOil/faP9RS5YIyTKxKECFEH1QHc1RKeVzACCl\nfNv1/n8E8J908Q0A7ijR1wF4U/8fdrxuHr/zbuyfPoqT/WXzf0AlONrUpxSdcq2E/Mq6igsKVCTc\nsF+fx9XhXsz1lN12sFr0/C/PnqPVQwZIogx3I7c/d7Su81/+1Gdqn9QlpFWGi0emMTFcxMpwr1f5\n6bLaH9JxmbnhlG3SKsNBHJtR8dQ+pkM6mDKihOWq4doYRjNu983AbNdl0iDD+eVS5BAH9fyGxpXd\nnUgozJXdr1A9PLvouNXLs4vYry2RC2eVDAfJlDvTe1C9/UrWINyZ6Z32slosJ7UBsPqlP4T9/nc7\n71VYgg5Et+5OA2mQ4U7TaJ9mZP+jOhne1FL0ZHju71v90h/W/f3mM9AWoqZsPGhqKcxMYh3Tnk35\niX2fqZlQLc4xoVvlN2qSO0KySBxZ4AWAPwXw91LKP3Yd36FjcQDAvwDwI/3/8wD+Qgjxx1ABh/MA\n/ivULkxeCHEjgHmooMS/1kzdntj3GZXN0hWzK79cwtyQycZmYWZzn5P13TC0bqtYobbtxAfde8cO\n5/MzW9RoYNx8pq42U0sSN0mWYUKikGYZlvMLTsxCDzpmnAXg2EvnlUsjrT8zS1JluNFstiZ5jNlY\nNWW/O24QZlM2rNwOuHhqnqTKMFCfdXDQbx8m/+7jBwIUjsaVHait/DBJjCYDEgqFnQ8AuU/fXVGP\nipii8wuYWrIC45P6LUHt1+fVeLNaLMc+9c37jbuxnF9AYR7AalGtEyyr7vihSSLJMhxGnMq2Womu\nTHZ3W8cv92d7jzq+TO5RcaDd48dj31bhKE3oIFOG7xrHXtI/W0hooSyRVPk1W0C2r+yBYZlKAAAg\nAElEQVTGH46jWUtQQrqJOCxAPwzgswBmhRAz+tgjAPYJIXZDmYz/A4D9ACCl/LEQ4lmoQMLrAA5K\nKTcAQAjxBQDfAdAD4Ckp5Y9bWdH8cgmF2UVMfmAMsG1nQmNDwG/ZbqPsEg+gnDxpwBXo2cQYYsb3\ntJMaGSYkhNTJsJnc2Tu3VASId2MDEDddn9oFJYlM6mS4XeQ31PJoptdbrsUZoyjVMcDO1KE4rSdD\nuJ+UZrtuB5mQ4UZ/x0Y2C5xz7lR/5r6hrMxMzETj0v7EvnJd3O78ADDlUmAat/hqSgDlsm6h8MOy\nhbTb7X7//FFM7hpVCtYBrRg1MUItC+jvc1yRxfiYY7nqzsbtd71PEZmQ4UYIktuoylXZZmv7wDAN\nmorkvhpj6Wlc4L97/2c979dygX9in/Kwclt+GmqNFzGOCYmUX7+NeDttxlPa7xDSFHFkgf87BMfQ\nOFblM/8OwL8LOH6s2uca4fSlixADObz4yfvVjq8QmLqSgzx7Dnvv2IGVHku7yHtvwb/csIXQGYgF\nbhtVA9Hh2fqyTZJkknQZBoC//bv5Vl+SZIg0yHAYJ4f7AAQnqTOu7yT7JF2G611UWDd5k8Y45Sis\nqUUlcn3ecg0YAyxekizDjVoy17JKatVi258spl7cruy3bN3msUitUGhppaa4Uk6U5MbZOFja8LrI\nnz2nLD+lhIRWDI24Eqa66FT4iVaTZBkOI6qyrZ2xWY1lsN/C38Th9Gdg9xNWp2rt74v3vA9AOYmR\nKUeJ+QwAN+v8F8bF3ZTTTBrl1xAUZ5kQEo1Ys8AniaDdKXvnFhROXsDEiI2T175H7cD4uklLSiz3\nCFiojAnqT37QxVYOhBDSEBVZd/0bUK7Yn/kNS7lQ3s8dbZIuZhYvVC1Xo1EX+GZigJrFl7H2aURJ\nwDlRuqkns3k13G7oYYpXt7IqyGpzSJtIua3ODEHu/KcvXcQtPrd3/zVNTNKZHIDFBUzoyCtPuN4/\nfemis244tEvdt6NQGshBvPc65/m477d4ZFpZfo6P0TgiZVRTMtZSrjpJkDYFJ0EyXF1fb3m9a1lw\nGqWrsUz2K2FNCIl7t6/rcrAKIagNNrqhQoLhcySkOagA1QQNDFc39+OL9+1Wys0LVRYGQnjM003i\nJHZMhBDSHKcvXQxfDOh4zEPrNsRADk98KthagpCkY1eE1YluzZzXhjjGMieffsMckhDqnccaC8ha\nivFGF/BuRaXbarOW8t6eX3AU/WFjirmmG7c7u1+x67+Oex3hvo4/OcyBE8eBXaPA/IJKzHR2XlkE\nTh9Vz48bAx2hluVnM7EVJ0bUqtBv4WmOz+iEdRMDweftHt0e+bvcmDqaBKHuOjdrwWmeV14nHMsd\n/GzgeQxtEg/NxgIlpJugAlQTNDCc7AdmLrytLDsDLD9toELxCQjcuiZgbacrGSGENItcK8EWwS7v\ngAo/kl/ZgHUt+1zSpTToAu8odEIUPNWIaslEsksUV+Jai3G/sslYnRmrSqM8LGgl4dzCApYtdf6B\nE8dxamEB+RJQeEWF/SkuVdbFb3HpPu6uX/HINIqz085ny59TbcOt4HQUr76NCmNBGqU9GIs65wpr\nJThaWpJYolgzzjWYhy6q8jVMvkz78Zdf/OT9NTPMRw2JUjgZ3TvBT1g/EGdiqjQRJB+1YhgTQiqh\nAlTjNu1f7hGY6xOBsT79WCgrQQc3JGCJQPN/Qggh0TETOxXjLVz5OShVnOYcd7tJmjFaEOErR+Dk\ncG/VMiGdwiguCmeVQnLS975/AT/cG01TNLlrFHNDfZ6Yn6cvXUS+pObvYc3FrViZ274D0ApUU5cw\n5YGj4K/CLVu3OfdhQQRakAJll2CjjHIncjpw4jjs4SJmNqvncOjGUSC9CZEyQTPu2v7YtP5rRHUj\nbxSzcRBUNqEgTAxQU44aA9RpE9rzxq+kjKLEpHVi66kWw5gQEgxnyRrHtH/6KE72ALBtlb0R8MSY\nc8pA2fVdl4/NLEHUGfuIEEJIJfb8Aq72h1t+QkoMbkh89/7/sbMVI6QNGBWOrTWg4SqdSgZ18q/l\nXuEp16KZGKBBcRWB6Itpkh2CrLRMkheP23cAfuVjmPJp//RR5DeAGb1qGe7tUwv/T1bGCA0jv1wC\nBnJOncz3H55dRHF22qO4ka+9AeT6gdViheLUbVW3f/oo5vqAnWPbHYtRIFwJJNdKKB5RVqbFI9Ow\nh4tqvaGxX58H+hs0HyQdJUjRdGpB96GWr6wx/eZyiBKylvK1lnyZWLhGVofqSB9eazzwZ65vZSb7\nGLPApwrGUiWkNVAB6sJxaREqCPTQuo2VHrWgqDaGqHFGYOBR/143IaSd1J3t/lPtqQeJh/xGgymA\nCUkYt15RFkHGEsyUCUkTjuJCu677CVvAtyuTsVuxMnUVyD24rzLB0qzX2lPOLyjDhtVipO/Il6or\nIiZGbFgnjitrPKtcPgygcOoysFp0FMaFuXdoSJEQGlEuxR2P+YW31ZzoTu3m/sLbPdVObynVlJit\niKva1QgBSOlJFOeHz5KQ6FABWoPBDYn8cgkz7+p3LJF264XJ3FAfRH8fjp3biLOKhGSKupWaJHOs\nPlIA8psx2NPnWLUBKCc92pB44UIvrQRIYqnXkuWJBz4HAPjQN//cU24nxjXXxFmsJ3wPLVFINYyr\nr2Ph5oux6bcu88tPYDIiwIlX67ccbWYscCtu5PwCxPhYOXP7QA7HZpYw8Oikx/KzeGQaxSPTjqu/\nP/aou/1bJ457kjBhtajv38LAo5PqXKsI9Pdh4NGHGr4PEj+mD/34N4L71Kj95uHZRfXPnd7jUS0l\nhwK8AGpZeNYaD4xi3rSNdijqOadT7P7Zmgr54Zr/un9TjreENAcVoC6cgOfDRcwN9iC/XEJBD0KT\nHxjD3FCfijd0RY0e92rfAnbYhBDSWgo/+ikgJfbesQPLPQJDejNqbqgPO6+9Frn7OQEk2ePWn63V\n/ZljM0sAgL27Rzxl3N+yaoXid/Ek3U2FYibEstMoSOu6FoDbRpXSpV4FgD8pUhhifMxxT28V7iRM\nWC2iMLsIcdP1nnMKpy7T8jND1LL8rCfcSBC13M+PvXRe/eOSM9PmJjatqPLVwbq+07Sh1S/9oafs\nJyi2KDfM6qMw9w4A4CM//24AyvCqcOoyBh79bJzVIiQzUAHqI3dwH/DM0xXHC6cuY3LXKKzxMeT2\nqY77ux2uGyGEZBljgeN3PbSg3N2nrg4CV0HlJ0ksjWazLSePWazrcwDK4Xee/Zq3HJFmEjd22sWT\npAu35adpE6uPFJw+Pkkx/4Lq4D724ifvrzgeVv+gsrEEFTdd73k/CfdOWkutPjVsAyDq+BGmLK8m\nl/7wFLkHg+UurO61kiCR1jO0IZ1QfISQ1kEFqAtj/QnbxnJvH2a25DxxeaaWLEf5SQghpH2Yvne5\nVy8UVouYGLY64hpMSJowC9FjZ5XVT/FC+xemxk3SxLprxI2eZIdGFf+1rjW5axSYPurImbEAbTft\naDvuJEmkO2m2nbSinUWxvm6EKHE+afkZjcn8ZgCu+a9tYzK/GU/EWCdCsgQVoFGwLCY4IiQD3P5c\ncGKGMF7+FBfzncRrvbDifdNiwiOSfBrNZsssuCSrBMl2VuS83vqn/X5Je2nVOFDtc81eMyttN9H4\n57uc/xLSUqgAdZE7uA9PQFuCWso9hxkZCSGk85i+1/TFtPwkJJg4FqbNJFAi2aOVMhglczshaaTZ\ndpJkJSTjfLYOM9/d/2dPqfKDTI5GSCuhArQa/X20/CSEkA7jmdQHxGQmJOm0w3KHkDTDuJeERCPJ\n7SPJdcsctPwkpC0IqYMZdwt79uyR3//+9+OuBkkmqYg0HUWGV3/jDzpUm3TxkV8ab9u1E+IunxkZ\nJl1L4mWY8ktqQBkmaSbx8gtQhklVKMMk7aRChtMKLUAJISSEv/27+egnf6p99SCEEEIIIYQQQkjj\npF4BKoS4B0ABQA+AP5FSfiXmKhFSF5ThzlGXQpNEhjJM0g5lmKQdyjBJM5RfknYow4Skg1QHlxBC\n9AA4AuBeAO8DsE8I8b54a0VIdCjDJO1QhknaoQyTtEMZJmmG8kvSDmWYkPSQdgvQDwI4I6V8DQCE\nEF8HcB+An8RaK0KiQxnOCLc/d7Su8xMSM7QVUIZJ2qEMk7RDGSZphvJL0g5lmJCUkHYF6DiAc67y\nGwBu958khHgYwMMAcMMNN3SmZoREgzLcpWRIYUoZJmmnpgxTfknCoQyTNMN5BEk7lGFCUkLaFaBB\nGbIq0tpLKZ8E8CSgMq61u1KE1AFluEupOx5pcpMsUYZJ2qkpw5RfknAowyTNcB5B0g5lmJCUkHYF\n6BsArneVrwPwZrUP/OAHP1gUQvw3AKMAFttYt7TA51DmR1LK93f4OxuV4WWk73dLo6xFr/Nj9V14\nsN6aPPZbUc76tpTynnov3STN9MPdRhrbQDuo9hwSL8Mxy28SZShpdYq7PlmU4bifaTVYt8YIq1vi\n5ReILMNpfP5JIO11owynk26516TKcNcgpEzv5oMQohfAaQB3AZgH8AqAX5NS/jjCZ78vpdzT5iom\nHj6HMnE8i0ZlOI2/G+ucTZrph7sNypMiac8hTTKctGcHJK9OSatPJ2i3DCf5mbJujZGkurVLfpN0\nj35Yt8ZIat26UYZbTbfca7fcZ5JJtQWolHJdCPEFAN8B0APgqSQuWAgJgzJM0g5lmKQdyjBJO5Rh\nkmYovyTtUIYJSQ+pVoACgJTyGIBjcdeDkEahDJO0QxkmaYcyTNIOZZikGcovSTuUYULSgRV3BWLk\nybgrkBD4HMqk6Vmkqa4G1pl0O5QnBZ9D4yTx2SWtTkmrTxZI8jNl3RojyXVrFUm+R9atMZJct3bQ\nTffbLffaLfeZWFIdA5QQQgghhBBCCCGEEEKq0c0WoIQQQgghhBBCCCGEkIzTlQpQIcQ9QohTQogz\nQogvx12fdiKEeEoIsSCE+JHr2IgQ4rgQYk7/3aaPCyHElH4uJ4UQt8VX89YihLheCPE3Qoi/F0L8\nWAgxqY+n7lkkSX6FEP8ghJgVQswIIb6vj9X9TIUQD+jz54QQD7S4ji1pA2F1FEL8vH4GZ/RnRSvr\nT9JFq9pEmmh3G+s2wsYr3zkfFUJc1nI2I4T43ztQrwrZ9r3fMXkWQux03fuMEOJnQohDvnM6/oyy\nQJj8CSF+Rwgx73qee2OqX+Q+tsP1CpTJuJ5bq/rltFKrv+pwXSL/FgmpW1Lael1rt6whErTea4RW\n9UEi4XPDeuU0zfeaGaSUXfWCysx2FsB7AfQD+CGA98Vdrzbe750AbgPwI9exPwDwZf3/lwH8vv5/\nL4AXAAgAdwB4Oe76t/A57ABwm/5/M4DTAN6XtmeRNPkF8A8ARn3H6nqmAEYAvKb/btP/b2thHZtu\nA9XqCOC/AviQ/swLAO6NW074iu/VijaRtle721i3vcLGK985HwXwnzpcrwrZ9r0fizzrcfEtAP8k\n7meUhVeY/AH4HQD/SwLqF7mPjbGOjkzG9dxa0S+n+VWrv0rqb5GQuiWlrde1dsvSCwlb7zV4D10x\nN6xXTtN8r1l5daMF6AcBnJFSvialXAPwdQD3xVyntiGlPAFgyXf4PgDP6P+fAfDLruNflYqXAGwV\nQuzoTE3bi5TyvJTyVf3/OwD+HsA40vcs0iC/9T7Tfw7guJRySUp5EcBxAPe0qjItagOBddTvvUtK\n+V+kGr2+6roWIYa09TN10c421v7aJ48q41XSiUue7wJwVkr53zrwXZknpfIX1t/ERewyyfl/cqjz\nt+goIXVLBA2s3bJEGtZ7VemWuWELdQyJv9es0I0K0HEA51zlN5D8iV2ruUZKeR5QjRbAmD7eFc9G\nCPFzAP4ZgJeRvmeRtHpJAH8thPiBEOJhfazeZxrHPbWqjuP6f/9x0r20ok1kgTT0A4nHN175+ZAQ\n4odCiBeEEP+0A9UJkm03cf2GvwpgOuS9Tj+jTBEgf1/QLntPxeh2Wk8fGxd+mUzCcwO6ayyq1V/F\nTdJk1k9SZBZA5LVblshimwQyPjdsUseQqntNM92oAA2Kzyc7XotkkvlnI4QYBvBNAIeklD+rdmrA\nsSQ8i6TV68NSytsA3AvgoBDizirnhtU9SfdUbx2TVHeSDFrRJrIM21JEaoxXr0K5fH8AwP8B4P/q\nQJVqyXbHf0MhRD+ATwL4y4C343hGmSFA/h4HcBOA3QDOA/ijmKpWTx/bcQJkMinPrRpZ7H8TLScJ\nJ1EyW8faLUtksU1WI/VzwxboGFJzr2mnGxWgbwC43lW+DsCbMdUlLt42ri3674I+nulnI4Tog+qY\njkopn9OH0/YsElUvKeWb+u8CgL+Cctmo95nGcU+tquMb+n//cdKltKhNZIE09AOJJWS8cpBS/kxK\neUX/fwxAnxBitJ11CpFtN3H8hvcCeFVK+bb/jTieUVYIkj8p5dtSyg0ppQ3gP6Ly9+8IdfaxceCR\nyaQ8N03XjEUR+qu4SZLMekiSzNa5dssSmWuTmkzODVukY0jFvWaBblSAvgIgL4S4Ue/S/iqA52Ou\nU6d5HoDJLPYAgG+5jv+6zk52B4DLxnQ77QghBIA/BfD3Uso/dr2VtmeRGPkVQgwJITab/wF8AsCP\nUP8z/Q6ATwghtmk3m0/oY+2kJXXU770jhLhDy9ivu65FuowWtokskIZ+IJFUGa/c51yrz4MQ4oNQ\n87mftrFOYbLtJg553ocQ9/dOP6OsECZ/whsT8l+g8vfvRN3q7WPjwCOTSXhuLrpiLIrYX8VNkmTW\nQ1JktoG1W5ZIzHqvxWRubthCHUPi7zUzyARkYur0Cyr71mmo7Gr/W9z1afO9TkO5L5SgdhY+D+Dd\nAF4EMKf/juhzBYAj+rnMAtgTd/1b+Bx+CcqM/CSAGf3am8ZnkRT5hcpM+EP9+rGpSyPPFMBDAM7o\n14MtrmdL2kBYHQHsgZocngXwHwCIuGWEr3herWwTaXq1u41126vKePWvAfxrfc4XtIz9EMBLAH6x\nzXUKk213nToqzwA2QSk0t7iOxfaMsvKqIn9f07/rSagF3I4Y6lZXHxtD/YJkMpbn1qp+OY2vMDmJ\nsT6Rf4uE1C32tq7rVtfaLWsvJGS912LZytzcsF45TfO9ZuUl9MMmhBBCCCGEEEIIIYSQzNGNLvCE\nEEIIIYQQQgghhJAugQpQQgghhBBCCCGEEEJIZqEClBBCCCGEEEIIIYQQklmoACWEEEIIIYQQQggh\nhGQWKkAJIYQQQgghhBBCCCGZhQpQQgghhBBCCCGEEEJIZqEClBBCCCGEEEIIIYQQklmoACWEEEII\nIYQQQgghhGQWKkAJIYQQQgghhBBCCCGZhQpQQgghhBBCCCGEEEJIZqEClBBCCCGEEEIIIYQQklmo\nACWEEEIIIYQQQgghhGQWKkAJIYQQQgghhBBCCCGZhQpQQgghhBBCCCGEEEJIZqEClBBCCCGEEEII\nIYQQklm6TgF6zz33SAB88RX0SgWUYb6qvFIBZZivKq/EQ/nlq8Yr8VCG+arySgWUYb6qvFIBZZiv\nKi/SRrpOAbq4uBh3FQhpCsowSTuUYZJmKL8k7VCGSdqhDJO0QxkmJB66TgFKCCGEEEIIIYQQQgjp\nHqgAJYQQQgghhBBCCCGEZJZYFKBCiKeEEAtCiB+5jo0IIY4LIeb03236uBBCTAkhzgghTgohbnN9\n5gF9/pwQ4oE47oV0J5RhknYowyTNUH5J2qEMk7RDGSZphzJMSPcRlwXo0wDu8R37MoAXpZR5AC/q\nMgDcCyCvXw8DeBxQnROA3wZwO4APAvht00ER0gGeBmWYpJunQRkm6eVpUH5JunkalGGSbp4GZZik\nm6dBGSakq4hFASqlPAFgyXf4PgDP6P+fAfDLruNflYqXAGwVQuwA8M8BHJdSLkkpLwI4jsoOjJC2\nQBkmaYcyTNIM5ZekHcowSTuUYZJ2KMOEdB9JigF6jZTyPADov2P6+DiAc67z3tDHwo5XIIR4WAjx\nfSHE9y9cuNDyipPkUTwyjeKR6U5/LWWYtIUOyjNlmKQZym8DxDRekmAow6QtcB5BOkFGxhPKMGkL\nGWkfqSdJCtAwRMAxWeV45UEpn5RS7pFS7tm+fXtLK0dIBCjDJO1QhkmaofyStEMZJmmHMkzSDmWY\nkAzQG3cFXLwthNghpTyvzckX9PE3AFzvOu86AG/q4x/1Hf9eB+pJEozZVZFnz3nKuYP7OvH1lGHS\nUmKQZ8owSTOU3zqIebwkwVCGSUvhPIJ0goyNJ5Rh0lIy1j5ST5IsQJ8HYLKmPQDgW67jv64zr90B\n4LI2R/8OgE8IIbbpQMOf0McIiQvKMEk7lGGSZii/JO1QhknaoQyTtEMZJiTDxGIBKoSYhtopGRVC\nvAGVOe0rAJ4VQnwewD8C+BV9+jEAewGcAXAVwIMAIKVcEkL8HoBX9Hm/K6X0BzEmXYbZSWn3zgpl\nmHSCdsozZZikGcpv83RqvCTBUIZJJ+A8gnSCtI4nlGHSCdLaPrJKLApQKWXYr35XwLkSwMGQ6zwF\n4KkWVo1kkAMnjgMAHr/z7pZdkzJM2kU75DUIyjBJM1mV3061fxI/WZXhRqDcpxPKcPpgW/NCGSbN\nwjaVPpIUA5SQlsGdFZIlKM+EkHbB/oWQ7MN2TjoB5YyQcNg+kgEVoCSzmB2ZVxcXPGXu0JAkQnkl\npHth+yfdCOWekM7AtkZIa2GbSi9JSoJECCGEEEIIIYQQQgghLYUWoCSzmB0Y7siQNEB5JaR7Yfsn\n3QjlnpDOwLZGSGthm0ovtAAlhBBCCCGEEEIIIYRkFlqAkszDHRmSJiivhHQvbP+kG6HcE9IZ2NYI\naS1sU+mDFqCEEEIIIYQQQgghhJDMQgUoIYQQQgghhBBCCCEks1ABSgghhBBCCCGEEEIIySxUgBJC\nCCGEEEIIIYQQQjILFaCEEEIIIYQQQgghhJDMQgUoIYQQQgghhBBCCCEks1ABSgghhBBCCCGEEEII\nySxUgBJCCCGEEEIIIYQQQjILFaCEEEIIIYQQQgghhJDMQgUoyRwHThzHgRPH464GIZRFQkhdsM8g\npL2wjZFWQDkiJB2wrRI/VICSRMDOiWSV05cuUrYJIYmF4y+JG8ogIdFheyEkftgO00tv3BUg3UHx\nyDQAIHdwX9u+w3RCry4ueMqP33l3276TkCDZ9suiUYJSFgkhQXD8ik4n5hMkWbTiN2cbI60gihyx\njyIkflrV57M9Zw8qQEmscEJKssrpSxed/6+sl6gEJYQkCo6/JG4og4REh+2FkPhhO0w/iVOACiG+\nCOB/AiABzAJ4EMAOAF8HMALgVQCflVKuCSFyAL4K4OcB/BTAv5JS/kMc9SbBmF0Tefacp1xrF6WR\nzsScG3dHRBnuDsJk+9CuUQDALVu34fSli7iyXnLKaYDyS9JOEmS43nEoKeNXkml0PpFGkiDDSaCV\nv3mtNsa211qyKsPV5Kib+qgwstSOsirD3UJQWzVu61HkM6w9Q6/zSHpJVAxQIcQ4gAkAe6SU7wfQ\nA+BXAfw+gMeklHkAFwF8Xn/k8wAuSilvBvCYPo+kiMfvvBuP33k3bhsdw22jY045rVCGieHxO+/G\nLVu3Ybi3LzWyTfklaYcyHJ2sjb9ZoZtkmDKYTbpJhjsJ20vnoAyTMNgO00/iLECh6jQohCgB2ATg\nPICPA/g1/f4zAH4HwOMA7tP/A8A3APwHIYSQUspOVpiEY3Y967X8bMasPAGdEGW4C/DLtrH89Mtu\nWiw/XVB+SdqJTYabHcMSMH4llnrnEymH/TDa85uHWX7SnbHlZFqGg+Sjy/ooDxltR5mW4W7BbflZ\nj3x2c3vOOolSgEop54UQ/x7APwJYAfDXAH4A4JKUcl2f9gaAcf3/OIBz+rPrQojLAN4NYLGjFSdN\n4zdTTyuUYeInTZM/yi9JO5Th+klTH9UNdKMMUwazRTfKcCdhe2k/lGFSC7bD9JIoBagQYhvUDsqN\nAC4B+EsA9wacanZTRJX33Nd9GMDDAHDDDTe0pK6kPqLumqQ9DhpluPswsv24LqdVdoH2ya++NmWY\ntJ24++C0j2FpIOtWGHHLcBJp52/ONtt6ul2Gs95HBZG1dtTtMpw1mpHPbmzPWSdRMUAB/PcAXpdS\nXpBSlgA8B+AXAWwVQhhl7XUA3tT/vwHgegDQ728BsOS/qJTySSnlHinlnu3bt7f7Hkh3QxkmaaYt\n8gtQhknHYB9M0g5lmKQdyjBJO5RhQjJKoixAoczM7xBCbIIyN78LwPcB/A2AT0NlXXsAwLf0+c/r\n8n/R73+XsTayQYp3DinDXU6KZReg/JL0kwgZTnk/QOIlETLcbbDNthTKcJeSoXZEGc4gGZJP0gSJ\nsgCVUr4MFTj4VQCzUPV7EsBvAfgNIcQZqHgaf6o/8qcA3q2P/waAL3e80qRtFI9MO4GH0wJlOPuk\nUS6jQvklaSftMpzl/oVEI+0y3A2wnVaHMty9ZKVtUIaTS1ZkjMRH0ixAIaX8bQC/7Tv8GoAPBpy7\nCuBXOlEv4iVKRrSsxIGpF8pwdjlw4jjs4SIKpy7HXZW2QfklaadbZXj/9FEAwBP7PhNzTUizdKsM\nt5K0ZO7N6lyZMpxOasljWtpVK6AMZ4OofWw3yXa3kzgFKCGmA5Jnz3nK7JBInBSPTMMesQHbBlaL\nlEtCSMvguEdI8mE7JSQYtg3SbihjpFVQAUrqolrnY3ZYDK8uLgDI7u42yTZuuTWWnzO5PiCXw+Su\nUcDKtiUoISQdGMvPmZy3nFVLUM4pskG7fse0LJLN/XOuTJJALXnsRLtiGyCtxC/Tdz3/LG7Zuq1C\nvtIyZpDWQQUoqSDuhm++N+56EGKw5xcqD/b3QYyPdb4yhJDMwXGPkOQTVztlv9B5+Mzrg2MYaTed\nkjE5v8D1XcahApTUhb/zAYCJERvWiePODstto2Oev9zJI2nCv2O4f/oosFbC1NiTzKUAACAASURB\nVJUcDt04Cvv1eRTm3sHAow/FWU1CCAFQtvTc/2dPqfKD2eybaDGXDdr9O6ZFEWPu98CJ47DnF3B4\ndjGxdSXZxy2P7rLByObqIwVPuRWwbyft4PDsIiZGbAwP9eHKeglX1ksAlHy5Zcs9ZhjlJ/vibEMF\nKHFImgk4Ox+SCNZKgG1Dnj2nYoAC3BkkhLSFRsY9Z0Nyk7fMMZSQ9tBpy8+kzMu7AT7z5uBzIu2m\nHTJmlJ9YLUKePcd2n3GoACVNIc+eQ+EsIJYsTIwA1vhYXTt27GBI0jDyayw/Cz8su78XZhe5M0gI\nqUknxzapQ3QUVouqPJBr+3fGQS0LJZIOOvU7Jn2cNgvuw+NjkGfnIcE5MYmfWtnfoceZVsoq+3YS\nRiNy5t7EKJwFxE3XR9JRiPExZ+ODZBsqQIlDvW5DEyM2sGkUhdnFtteNkHYTOPHq7yv/P5Cj8pMQ\nkjiMRfrEphUAwNTVwTirQ0hsZE2BkhZ3/izBZ94cWWuDpDuo1e4p19mCClBSk6BGnzu4D5aOWyRu\nuh65g/vwRB3XpIsJSSKnL110YsNMLVkAABlznQgh6SGOsc259jNPN/RdaZvYp6WeJJy0yVwr8fcR\nALjBSlpKWttX2upL2kczcym3MnNixIY1PoonKFvEBRWgpIJanYsnWHVOW4JOH8XUkhV58mZc9iZ3\njQIApq42UWFCmuDAieM4femiExz71MIC9k8fxRQsz3mM+0kISSJmTJ7Z3OcpJ30xyY3P7qKdctnO\nJCrupJ9APPLKNtJ54nzmcfbhjfbLTGRE6iVIRvz9bS1aPY8Is/ykXGcLKkBJKGGN3o81PgZ7fiHw\nvTAcZdKASiqTe5CTOxIfV9fXnf+XLWCuDzi0axSP33k3F+mEkMikyX2SE3vSaYyXRTfLXJr6CJIu\n2tmntzMLPCF+mu0nD5w4DuwaxcziArC40JVjDQmHClBSN+5g1fb8Ag7PLkYO4G7eN7HKZnI551ru\naxPSCYwM276cIfl3irBLC3XvRBJCSKdxNiBzvnJCYQic7sKvlDl96WLLv6MdSVQCXdVBeSXtI85N\nqVr9cq0kSExkRKISJOf2/AKmlqwK+QujU/MIynU2oQKUhJLWRp+2+pL4OH3pIqQrz5ElJQY3pMr2\nftP1ALjIIYTUTxr6jbSO8STd3LJ1G05fuohbtm5Llcy1OmRTGvoIEk4S+0326STt+PvZRvtJtgVS\nDSpASSTseWUN5+6IgmJ21OqozPtT+vxDN41WXIuQTnHzsor7WQ7jIAAIJ7EXIYR0kkasGJ7Y9xkA\nwMe/cdRTTip0Ae4ughaiYSGVWvVdraDC8s0Vsql4ZLpiTkxIs3RCaRPW79bql6P221zPkVpUlfNp\nNY/xh8bzy12n5xGU62xBBSipiTsOYpJhPDMSFSdpiHYZHdaWoC+8bVX5FCGEJA/Tny1b3nLUsY9j\nJOk0aZK5iRGl+DTzhQMnjsMesTG1xPlCN5KGtUaS6kJIFPzrsla1K7YFEgQVoKQqUWNs1Lvz4sSM\n0eUkTiBIdrHnFzDXB5hE78YSlNYchJA48MfHnuoC68gs3xupJK3zO8sk7dQKL3t+AVgtQp5djN2K\nmXNnEpVWrefYb5MgGumLopxbS24pj6QRqADtUtI0aYo6wWS8D1KN4pFpTIzYsMbHMLVkYWLExlyP\njfxyCVNXB+OuHiGENIQZ6/Zr17FOjn0cb0mcdEIB6U/8qRJ1LDZ0LbaX9NOJtUY7EoURUg+d3twJ\na1fF2XAPVPanpFGoAO0SGu3I2h1jIw2uJCRbnL50EYd2jWJmcQGAhbnNORy6aZQyRwhpGfWOmYd0\n4P8ZPRY68bHbUDdC0krcFpfW+Bhy++6OvR6cO2cT8zteWS95yq34XY2srj5S8JRbTdxtg3SWdvdF\njeghKIOkFlSAppBmOpc0TZqiumv4SeK9kPgoHpnGvdfYwHYby70WsF7CqYUFx/09X4q3foQQ0gxO\njO5NRU+5nZP/NM0lSPZodH4YlSB5bka22V5IFPyWn620BHXGidXOjRMkfbS7b61FlD4xSn86MWLD\nOnGcfSwJhArQjOPvyGwdzB25+q4T1PG1olOk2zppJ8Uj05DzC8A1o57j+eUS5gZ7yu7vS4vAnTFV\nkhCSGZrduIvDjZ2QpONvVxiocxLbYuJUGhWPTOOwrgPnztnilq3bAJQVO6acBuJWnJF46NQ6vpoc\n2fOqvXhkcNMo7PkFFI9MUwZJBU0rQIUQUwGHLwP4vpTyW81en5SJuoNcbdAxWSuNu12SJ03tdr8n\n2WdixAaGt6jsyJaFIa3/n7qSw4S9EmvdCCGkFcThPk+FLYkTYRITaVpt+dlqS01u9meHdlrzmmvc\n9fyzLbumIQlrKq7nkk8S5KQW/v708Gw5JvPEcBHYNYqZLWqTjJagJIhWWIAOAPjvAPylLv9LAD8G\n8HkhxMeklIfquZgQYiuAPwHwfgASwEMATgH4PwH8HIB/AHC/lPKiEEIAKADYC+AqgM9JKV9t9oay\nRGhHpjuNRmjVLp/7c1nqmCjD8VI8Mg352htArh/Ib654X/T3IXfw/q7IstwIlF+SduKU4UYXD+b8\nwtl5VV5i/9TNsB/2Eha/0HHrjUCSF/SGanUMmnsfDjk3CVCGG6dZy892ynoa2lGr6CYZbvZ37fQ6\nvnhkGvZwEejvg9TzJnHT9epNy3LOs3ybZYQArVGA3gzg41LKdQAQQjwO4K8B3A1gtoHrFQB8W0r5\naSFEP4BNAB4B8KKU8itCiC8D+DKA3wJwL4C8ft0OZfBwe5P3kxj8nVEti4t6FJNpUjimcJClDMeN\nlMBqEYVZFetoctcoYFmYupJD7uD9MVcu8VB+SdrpKhlu1hqzkYUPFbZtJzUy3AmFSKfiF7bbUjNN\nc+8WkBoZrodOWPNmTU5S7B6fSRmOQgp+GxROXYYYH4PUZTm/gIIeIyY/MAb09+HxO1XSuuIsXeFJ\nmVYoQMcBDEG5vUP//x4p5YYQoljPhYQQ74KKxPc5AJBSrgFYE0LcB+Cj+rRnAHwPqrO5D8BXpZQS\nwEtCiK1CiB1SyvNN3VFCaSbRQSsbfe7gPvXdAzmI8bGGLT9TOBDWhDIcH6uPFIDimlJ+BtHf5ylm\nQd5aDeWXpJ2kyHAn+5dmkyBJHT+LJIOkyHAaiCLraZhzRqljGlxTDWmQ4TQ8x3ppp6zXunaa5DMK\naZDhVtCszHT6966IBw04MaHF+Fj5uG/NR4ibVihA/wDAjBDiewAEVGfxqBBiCMB/rvNa7wVwAcCf\nCSE+AOAHACYBXGM6ECnleSGEsWceB+BqAXhDH/N0NkKIhwE8DAA33HBDnVXqPKZxT2xSMQqNq65Z\npJjdDRhTb02zrndpH6wSAmU4TrTyc1LHxCvouDBTVweRe5DyHYG2yC9AGSYdI9V9sOm7pq7W/1nT\n3/nnBmE0Y1WXtcVuwkiFDLdS2VLrs2HyZqyen6j7G6sTtwWenF+oiHOaMlIhw83QThlpR7/aqY2A\nCZ1s190mUzpeZF6GO0UnfncxPoZDu0Zhj9gozC46OU+KR6YTvflF4qFpBaiU8k+FEMcAfBBKAfqI\nlPJN/fZvNlCf2wD8Gynly0KIApRpeRgiqEoBdXwSwJMAsGfPnhDzsORTLeh7pxp10M5LvRnWUjoQ\nRoUy3GH8i3gPMWeKTSFtkV+AMkw6Rir7YGccfOZpb7mOz/rjI9bCb/lJS9DEkEoZ7iT1WD0nZc4Z\ntY5G+VlLGZxwEivDSbAIbtd3tlPWo147QzEXEyvDraRZ46lOtSP/9QO/r4n8JqS7aIUFKABYULsk\nvQBuFkLcLKU80cB13gDwhpTyZV3+BlRn87YxIxdC7ACw4DrfbepwHYA3kWIOnDiO09f34OblEmZy\nOoPZgNpNK7yiYm25lTpOBjTXNZLQeXVxpsuul+FOcuDEcZy6xka+BGDTKOaG+pBfLjnZ/ybzAAZy\nmFqKtZppgvJL0k4qZdhYss1s7vOUn9j3mZqfNWP3pE76FjXBm9lUNXOARizOTAb6dmac70JSIcOt\nULbUOw/NHdynxv2FBeRLqJgnh1mCuhWLjdLuea2pI1aLkGfPxa6wbZJUyHDSCPMA9MtALVkMssJs\nN6ZOry4ueMruOqZMlrtahlvR30Xt3xv9LpPh3dabtzM5ADkzF1rB1NVBAOXkSCmTP9JGmlaACiF+\nH8C/gsr8buvDEkDdClAp5VtCiHNCiJ1SylMA7gLwE/16AMBX9N9v6Y88D+ALQoivQwUavpz0WBut\nwD2BM43eZECLsnvcDK3cXcxiR0QZ7jyivw8oleKuRiag/JK0QxkmaYcyXBvR3wdrbBuglS1RrM7a\nNS+uRRIsDjtNkmU4TovgTslCO60wsyy3bpIsw+2g3t+1mXZUz2eqtRmLFp+kQVphAfrLAHZKKetK\neFSFfwPgqM629hqAB6EsTJ8VQnwewD8C+BV97jEAewGcAXBVn5tK/DtnWC1iqKcP+Q0LU0sWcgf3\nYXW27N524MRx4MRxtduBxuKG+V1u3MdadR9dagnalTLcSQ6cOI7Tly7iyrpSfKpdv7Jl9NC6jfxy\nCYW5dzDw6EMx1TK1UH593P7c0cjnvvyp2hZ75P9n7+2D47rOM8/nXKDR+KIoQiBEGaYnMtlkldek\nGUsayXaKtqRSrcnJ2luKRxPGcclOtsLicAugJ5ONR39spbZmvZOZyoiNGpaWrk0ixaGR5dqqimqL\nci3Xss1yyvY61sKA1i6ySTkzFEK5CYGUyAbQaOCe/eOc99xzb9/b9/YX+jbw/qok4vTn7e5zzz3n\nOc/7vm2n6/qwWbDWIegQ5PZJ6oZrBXytbztd04dbsRGeZEEc7HNXbt+Kff1WCE7N9vWkqSWowKh8\n8y0g27cZhKau6cOtplFhkxz1M7qvndrjd9jH9cVOjsv0HhS9sEmuBVuuDyftQyYNSQ2ixndqR73X\naZ3PPOr8IecnPe+QToF2CGoORM7PTTCGMm2iFQLomwAyAFoigEopZwA8HHLXkyGPlQBOtuJ900Zh\nqM7qZf1ZYFW74DYgfIYHlWi4D6cEx+n2IgIdgfsv0+10Yx+maA49f/fabSQtuRGZarqxD6eBNArx\ntfL3E1X59curdefXTxtp78Pt/G6jQtDjxtxOXAeYaNLeh9NAI85PGudcfZ4gG/WM6nPm1IFRXL19\nC/saOFaGIVohgC5BVYH/DiwRVEo50YLX3jLQZO3JV85jaW3N5/wsn5lWJ75VqfU0LCco1G6JnH8X\nEwdGgcFRrxqsJnYHJ0I0LZ+ZVjst42OJJpTBXcg0TUKZzcPpuQVMDJcxM6yGsKF1ieUegYF1ifwb\n70B88P3InvxCh4+SYRgmGVSx9PCudd3uSfxcut4//tB9uv2OuqON2glf65lWkmQRHdbnohxwwdet\nV+S3X5fcSKcOjPneKw5ywuWvVefvD74XVS6maK783ALkfLHrRdCtRj3FucKg64DJAaqdbIS9VrTb\nSe6nY/DyS4cfU6MbYvQ86u/lxerX4etF+om7tifNU0ucuHQRODCKFw4/ZTQF0imov5PzmcZa27FP\nGsRpKDe9O+Jin9YkjAZyQztGv8RjJZOMVgigr+j/mCY5cekiltbW4EJiJutZvE+HPJbuI2jgoWTA\nYs/u0MGILz5Mt2L33YkRF7N9vYBQRRdLllagxE++CDIM0z2YMetbf+1vJ2By/3YAgKvHQ2onDYHv\n1HhJi/TvfOaZjrw/k27qma/GhW0mDUOvRZKQ+1qI8TEzdw9+Jmd8DGLRAZwy4Lrm8Ux3kTQdSa0i\nXwAALVJ2QtA5cr865tci7q+nQB/DAGrsPHHpIl7QeTurdAo9Xk+MuChkgFyIkevUgVG4I65KebZQ\nNKnQ9t27o6XHyhExW4OmBVAp5UutOJCtim3pvnL7FlxIc9/VoQz2wTsJV57zcoA6Ebvery8UgWy1\nQEqTwuFef2h9rfwcapemrC7kC0Ucnz4X6QQNTjZZYGXawZXbt5RLOitMxTUAnhDaK3Dkfhf7QxYY\nDEPUk9OTYTaCj31L90k9llH7h78Vv8i8umNQ/aFzIpv2BsDjLLPR2H0uyvkZRIyPJXJUBoXU49Pn\ngMEy8nML2Dsynuj46DVMjv5H1PPOHjuGq6+cB7SQGnyvo7szuLuWMc9xxkf5/OoymsnlnATqM5T/\nPsoBHXZ/sF8Gn2vcqztdXzupEFTLbc05ozeeZr/jqOfF5akNvj/95jMLN/HkK+dV37R0ihcOP+Xr\nv+L2LaDfGwNnForAQhFDay7QA6gUrCo9BDlBcbihj8hsYRoWQIUQ56WUzwgh5gBLtdNIKQ82dWSb\njEZ2FORqBa6esAEAVsoqPOalFzGzTU2SoiZ9zviY2a22d0eiLpqt2B1nmHZQVSBMSgACEJ07JoZh\nmFqs/OF/AAD0/9kfJXq8t/kpAu146BpPY2S9joiNdjyQ85PmI+wEZWzCxBJy+tiLcrvfRoVtBnPO\nNRJWXhjKYPLAaKxwVOs1Cxn1PHsOXo97iV1J3YEpBPSXf6HaT4eLSGkUAMn5WXIcX5ucoOT8pPOA\nnaBbh6Tjjx2yDvhd8y4klioVs3azNwfCCts6UmLg7beBXtUfc8vrxh2P/qxKE3isdedPKwrmMd1D\nMw7QSf3vb7biQLYax196EQCQv6YmeKehdkOuDmXMAJCrJH+9uNxIT75yHnK1gpKT7PWyJ4/hLPRg\n1h+dA5R39Zh2c+X2Ld9FE0J4IqiFIyUGpMBrn+PJGMMw3cXQuhI8S73C104CXW8/9vI3fO2k8AYo\n02natdiU80WgvOrdsFKuKYKGzaWPT5/z5e+MEy7DXuPJV877xAD6OzhX5zn0JsFJuNgKEOfSNAKr\nXkMGBdZa+Rspv+IR7fCkNrnnRJ+OENRrUNOuk6TnFdMe2rEut+cISX9LGs9sYfPgqo5uDWxmXbl9\nC0tra77nD6xL5EoVdS71ZZD/mTqGyY8o4ZSFSaYZGhZApZQ39J//Ukr5x/Z9Qog/BfDH1c/aekTt\nKGC4+rFTiw5Oje/A5WIRuQqQ/4lOnL5nNyaGy8BHxrwBQIfUhA08l4sqXN3epZMZIHdH16jqz+L0\n3IIpsATAV2AJ4IGFSQ97SxXM9knlM9fhoZ4I6hcKcutsC2UYpnOQ85PGp3qdoM0w2FvflK4V1/9G\nFlfk9GTnJwN4RYCoIIYReabPoaA1mLtrFbyu876580VMLTqhTp12CCuUi24ytw2FoQz2lis4fX0B\n5bnkjqFGXdrsSuouKFVZXo+p1O7/qvIMxYlTcVXg6fWQ2xb6+s1A4/AT3zznaxPk9KT7G3F+clX7\n7iLpHCE0bd5LLwJ9GeyFcsDn7qhUIpOPjMMt+fuBPR5eLhaRK1U8vePAqHl/AMhffreh/Mhxc5VG\nC+Yx3UkriiA9hWqx80jIbQy8qmkz29TVjXYyzj6rTrQX4IUVhEEVIgEvpCaYDyns+bkKfBUmiaDz\nI9jOnjymKrwtLoTm2OBdPaZdHJ8+B6xWdLoHLXhKaURQEj5zJbWzGKyWyTAM0y3kllX195ltjq+d\nhLi8cFHEXf8Zplni+mL5zDTcEReFHhcTg2XkWyToBBfuhv4sxPhY7OLWPl4qXlTocVHqdTDTC2VK\nADB1N7yye/A1alXnjvqb2XrEVYEnTIGY/vD+F9aPqM+WdC0IaictlrcR8FqyeVq5Lq81R4h9XR2u\nPrXomOJgpEFQPw9uCAz3ZrAspBfqDt3XhUg8dhPcl5haNJMD9ASAfwngg0KIWeuubQD+rtkD63bM\niRfYUYBTjnqKgXbVyouUS2PUJBse0mPCa5/7fFX+T3qP/DXlHPUSr38e5TPTkP1ZTC0N+KoK0i6K\nvHZdDUw6rwbDdJITly4q50ePXd7dE0EPvbdqJoBiz24AvFvHMEznIadnvc7P/OV3AQCPP3Sfr91O\n7Ou/3U5CK8Ls2Pm5eTFz3sCmuw05P1W0kqNybe7fjvzsTZTPTJu5rNjjYGIEVamY6nLq9GeB8mpd\nC2iCCo/m5ouYoVWTDg+2I6mCrxt2TthOpySh7+xK6i5IuI9yZtruZrtNxFWBj3t9ohnxJyr9Gr0m\npVKLeo+w2814MMjRht1EcI5g32bjS5undQ4j0u/ZrXWFARy538WyI3DqwGhV0SRAjY/uL+eRL9zx\nbuzPWsJp/Z+h3rkK98mtQTMO0G8AeBXA/wLgK9btd6SUDXTRzUv5zDTkm28B2T4TFnH0sQcAAGef\n/WLk8yZGXBQywH7rNrrwmEpq8E7m0w0cm6/CvOPAGR8zSYXrCb3hHRamVZAjJLdSRmEo43N90r+F\noQwmPzK2ISIBk364qjuTNiY/rITMpO4aWlQMrK/52kmwcwuGtaNgByjTLsjxMxOz6Lw6lDE5B0u9\nDgoD6tzJF5rri0HhMHh7vbxw+Cm1uB8uq3x0OkVVeXEacr6Y+HxNMldm59ImwM47mxLIrTzhhrtL\n2ylSmvEgq4+hX7Xp+sj1JFpPK747n0aQYANJzhdNegb7NhIwlYYhMbNw0xfBSqlNTs8tQOraKGR6\nEeNjcMbV85MUPQpzlTJMkGZygL4L4F0AxwBACDEGoB/AsBBiWEr5X1pziN2B7ca0E/7SDnd+vk+F\n0eiwhlKv3/4dNlA542PYDy+B+tLamqkMG0wWDFRP+M4eUzvT5TPTvt2bYPL3E5cuwqUKlzrHEgC4\n+oKVv1b/98EwjeBzhGSzfvHTIre8DufBcfTX2EBgGIbpFI52pieFFog0N6B2EgGV5htR7ThoQ/bC\nTPK9a05/s3WI+43t+4MiCrK1Q8SDRTIopQ3lfcsX7uDUgVE4Ie9fjzDTChEne/KYcebZBEWBODEn\n+JmDhoawIkvsSmo97Ry7xAffH3p7MFKvvBguMl4dqi3afPnTHwKAKhddM0JinEhZK41D3Hubit/6\nPqeBHI5Ma0naN8yYLiXkteuhwrgxYo2PAf2ul3pEh61fHerRuoXSMNwQEZQgsTRfuIPJ/dvhPDja\nlDAeHEt5rsIALcgBKoT4bwD8RwDvA1AE8E8A/ALAf9Xsa3cLwQmLXK0A2qnpzhfVQECDga5mFvd6\nQPVFhAoc0PvQe7biZHbGx8yFyXcbAKFD4nkCxrSbxAnSG6xOyTAM004aXoCuatEym/G3E0AOBxJR\nkjoeTPjk+a/72wzTJKZwUI2CnXQ7FTvaPzaG0zcWtGNIC6cr5aYKp7R63kopqo6DCsG09vVJGH3d\nMiPwgr17IHHI5PCs00WZNJ9zI+cEHUPUMbVTpIwL/ecNtXQjxsd8RqooKF2IO1/05ezcd+kiZhZu\nVj2eolVOzy1Azi8AVp8T42MoDLkQCSNaiKi+FEwbyGxtWlEE6d8CeAzA/y2l/HUhxOPQrtDNDgmf\ngFehcrg3Y8LUHakrn614z6GQ3ckDo1X5jAAYp6ddzdV+DwCYWbhpnKBXbt+q2kGxL2pJ8gdFDQ60\ngJsYUe00JcpmNh/Hp89hpk8CsByftvvTcoPy7jHDMJuK4KbOBmzykJOHXKeNVGXnhermJYmTMXj/\nld092HfvDpOSiUIXw55P2EUyJkZcYHi7iQI5+tgDKPV6z6cK8PUKm80IK0kdsEQtMScocA33ZqpM\nDa8vcCqKdrIR4dYFcnAu+W+PW5PFpTOhY53J+tt07O0UEuPE2TiHKMBz9zTQaE7MWs5Pei3jZs8C\nRz86ilzFVYL7gVEM9vb6IlkPje40r+HqcR99rs+BXBKAExLxyjDN0goBtCKlfEcI4QghHCnld4UQ\nf9qC1009V27f8p3MAHC3slodstufhdiz2zeIFDL+XQ1jMd/dg8HeXuy7d0dVGAwNMIO9veYCFLR2\ntwKzs6gvsHzBYtoJLWqwUgb6+qBCJKrD3h0IDOrFAi+6GYZJIzQ2PfqtcKdLFCbkUV/b40IgW4Ek\nl6kTaG8Q7PbpXqJCtQnKJ/tCDaHSzjOfv6aijSZGAOfB8aqIpGaOsxHiChvZAlSt7yH43FqPpbkN\nnxfdyynKdaj7L7XDCr6EQX2D1nvBvhJcnzXjju4EcX2a+3zzpKXAlOjLAKUlTAwDV/W4Rw734d6M\nl1d5xAqZt6D80LbGUg/19qW0fG/MxtAKAfS2EGIYwCUA54QQRQCbWq4P7oIRjpRw6V8h4AqgJNRE\naWLEBabPYWrRgbx2HbnBUaDfy8d55H6d/2tN/UsXPzvMPUnFyKhjrTUJJei1aBAwF26+IDFtZOZm\nEW6frJkrDAAO7WQhnmGYdEPuF9rDSeqqDOb1DsvzHcVenTeRRBlqx0HVful5UdV/ma0JzTWHIzYe\n7blpMBqK8ridRbhLyHaJ2kwtOsgeU6/p/nIe+cvv4suf/pBVIGMeEskXq8EIqnpzIjqXLvodrgEB\n0w5ZJ2q9B4ucnSeJU7FRkhaka1Rkme2r3SZqfaaJYSU2BaP66DlPfDN88+60TmsxofP7nr6hq3wf\nVv8kDd9nOkcjOgIRF0Ea7Ot31yqYHVYyk2tFyToQ2HfvDjXGD5cxk80A2SwOvav61aE7FcwO+zeA\nHT2hasbBzwW2GJtWCKCfBbAM4MsAPg9gO4D/qQWv2z3ozQlXOz/dkIc442O4XCziyP0ucoOjmNmu\nLd7DZRS+eQ7LQmJgXaocofZLr1Y2bIcvWPWdiiAxTDswhb0EEOb4DIMvWAzDpJmlilYRRaAdA6W9\nocWjnQYnjkKmdjuSJvKOEo2EzfOCpHsJEzODaZsAGEdP+cw03BE3NJIoKrSSngPX9XKArlZgbG8h\nxxMMMyehst6CYL558OCoem/rbfeWKjh9fQGnDowlDlkPTRVw+xb2lioon5nGqQOjPrMDnwfdS9Lx\nn3JhUk7ZxJgIQxlox78+9e3Czh5fm847ek4p2+QxMh0huIZvpaMxri9QRGzwOuACvj5K47E7X8Rs\nHzBgR7r0Z608tNX5QqNIMn+I2ogA2vu9MemlaQFUSlnSf7oAXhJC9AD4cMRPxAAAIABJREFUbQDV\npRK7GLJp23k7aeJ/t1JBVNguFSPw7ZL3Ww/Qeb4OvreK/NwCjn5cJYzfPzZmJkhTi05krpW4MJ1m\nFhhTi078gximQaoWJjJkQiclhqTAa5/jCRjDMOlnQA9jJeFvx0EC4sde/oav3U4oJ/njD93nazNM\ncA5p3xZksLfX9FdaKFMRJOzZjfzcAiYBDPW4KPU6uLumNvbDKgCXz0xDzhcxhTHIa+o11Fw0i+zJ\nY9ZCXM95E4a423PxpOTnFiD27PbN/U26KlS7OYkk77Hv3h1wS0X12omPiGkF7XQqNjr+E3E5PH/4\n9O8AAB791l+r9m8lnxuT87Okz4UoJ2gUtM7MP5dX7a/+Xl3HznSOpJpA8HYz3o3Ufn1yxdN4eLmo\n3id3Z9UYvhwJbXiB2tDq6wVcy/i1WsHlYhG5CnBIC6F0vJQvtBFs/YVTqDFEwwKoEOIeACcBjAN4\nBcBF3f4jADPYZAIoAGDVm7QBloCjHWwUAj+0Lk1RAUCFsp2wwmgAYMhV+TGc0R0oLRQxsz2LyUfG\nseyo0eFysYiSo8PnB5dR0INCO0lSMIlhmoUqvlbN+oXwRFDAFD3az6HvDMN0Cc2Gldfj/CRKonY7\nCgpTpkWJHbYch9kA1vOgepygvFDePARFJHLwCL2Bnj15TM8poyOKgnNNqhy8QkJLyFw0uKC3K8nb\nc227yFASwubBVNW4fGbauIRM+P7h+NcM9ncKJT6y08Vyj4Crj/f1haJJD8DnRHeyf8wv3FCbIAF/\npmmXZW3nZ9jrFwJ5pYPtjchDzevL9tGONTyJ5DM6SiTYX6Pc7aJPjbvPv/5zTO53cHXHoNr0mS+i\n0KPc/a4QKPV6/bgwlMGybiZJU5FE1A0+plbhaO6bW4tmHKBfB3ALwA8B/HdQwmcfgM9KKWdacGyp\n4PhLL6Iw0APs9HbNhopFldy3BofKMDvGwd1hZ3zMVwDJ9zy9y+HOF80FrDCUMWJocAIVZdnmBQaT\nVmb7oJNaR6zSpYQD4ODdNZx99osbeGQMwzDNQZETR3au6XZ906yGChsGh9KEAmihh0QpJ9BmtjpR\nc8i4okLGOTTnOSWzJ4/hLMIjqYhgGOLKc3lM5rapOy1xk+bFwzVCGmsdV1KoKv1ZqPm2nF8AIgqC\n1vPaV27fUqmwKvAZJZjWE7X+Sbo+6uT6Keo9SYBCAwKqWbdqgTNuHRuEzlE6L6ciBCNeb6aPuD4f\ntqEEQKUhqRN7A+f4fFGN3XpeU8ggci9sWajN2Jms9/77WlyEuR2Fo5nupBkB9INSygMAIIT43wAs\nAPiAlPJOS44sBZy4dFGJnwFyd8oAyihsyxrH5mBvLy5cX1eLHseBs2vM7DQQHx1VJ7IdRpP9jGfN\ndkZ3VO1cXC4WkVt3MNOKbK0J4d0Pph2YUIpdSuAMXgMdKXHwvVXV6M+y+MkwTNdB18/cSy/q9hfq\nen5cPsEwaG5Bz6V2HLnldQDAzDbH107ChevqsYd3SV+7Hnih3H0EnTl26GOjUNi7qHOxu7dU0aGU\nGeR/Mg8AEHt0JfkIA0ItbHEgmLOUXKm1XEJxgpkdiumM7TCV7od7M1haW2sqzJPZeML6ghF+psML\nCZFQ+cT5r+t2fdeHOOj1j+vrjz2PjqswT+79R18+52sHmblHV15aSn5c9F1NDC4DiBZPmeZp5XdK\nqUwmP6LGQ+pPwXH1o6NjplDdqQOjxmXpjI9hP9R5cHz6HHIA8j+5gckDo3Ckqn2y3CPgQmBA+qNX\nChmY54YRJ+qWz0zjNNT3kWQzg/vi1qIZWc0Edkkp14UQv2yV+KnziP49gHkp5W8KIR4E8DdQWShe\nB/AFKeWqECIL4K8APATgHQD/Qkr5D604BgqnCduhndWDvxJw1OT/bqWCI/cDJSd+R7eeyV6uVDFV\nMAHr5D3svRZQfeLS7UmqvzOtJQ39N41MjOiCBiKk2rtOH5Ev3FELjS9xv+0k3IeZbqfTfbjefJrB\nBUU97iN6zKPfCl90RxEXElmLI/frLSyds5naryV+hcZDzrZKqFqn+zDgbdiX56ab/r7JCUrY+TRt\ngZFcojOBzQC7kIVsoGAXYZ9bwb5ExgWfE2qwjPzcQqK5e1iIpf2ewVRYuQrgjO6oWaSjm+lEH06a\n7zDO+Rn3fNlAgVqv0JDjaycNgW9GQI0LK467Bp3SKVJIuKf2C4mPoDtJwzhcD7Wuj1HOe9IKqnKA\nLuoxus/1PSeqsB1x5fYtPPHNcyhpSeTJV87jrl76Pf6J95niSHYIPImfjoQRThmmXTQjgH5ECPGe\n/lsAGNBtAUBKKe9p4rUnAfwCAL3GnwJ4Xkr5N0KI/xXA70ONub8P4JaUcq8Q4rf14/5FE+8LQIuf\nPW6kmGmGgUCYmXKDKkF0ZuEmXEjfZOeQSqWhQmlWyiq35zfPIVcB7mar8/+8cPgpFUaUcFecw91T\nQ0f7b1q5OpSBrBFiSWfbZl/Udgnch5lupyN9OGmYYJCg87MRJ6iD+ipulAQ9XgTa8TQbTskkInXj\ncFUO/ACUt9OuAg+E938jIFmPlfNFYGQ09LWX1tbM3yVHpWzIuS6mFh3I/qwRUc/q47SFzBOXLmJm\n4SYGe3urnG8TIy4c67E+MTIgtNJ7hH0ntfLMhSH6MsoJatFM4dKUkro+3CxGuA/p4/R3/ppyJJOA\n1Kp5LfULMudEFa3JXytWHRuxtxR+7gZF+GA76TUqrO+SWEqbGqf2dJV42jV9+MSli3BH3IaKGNuF\ngoKvZZzF0+eA4YrKCRrQNwo9LiYGy+Y3diyNxB67g5Xhg7jC01DoOIB4JygRVtWdnKAMQzQsgEop\nq2PDW4AQ4v0A/hmA/xnAvxJCCABPAPgd/ZCXAPwJ1GDzWf03AHwTwH8SQggpZZ1196qxw84dKQHh\nwJVuVYEjcz+Ag3cqmNmmFgGDvb3VE0Q9kVILI53byHURrAbjzhex8lweYnzMnMDP00QxcKIHT+hg\novat4pRIC2npv2nixKWLcK9dx9I9fXB7oi96A1LUHQLHtB7uw0y3s9X6MLmI3KzwteNcRTTzcAPt\nJFDI+5Gd6tkXbiQPgQ9boADx85RGn9eNpKEPh+XldPdvh/PgeMOveUIXFMrPLRgByWbywKgJX6d+\nTMVY9pYqKjJLd9RcqYLCUAYT/S7y8/Hv7UJiaW3Nc3e+9CIw6AIrau5MeRX33lrC7HAvBjN9mLrr\nKNfnnt2R/ezK7Vu+Bf7dtUqVCForXLOeMP1uolN9uNkaCPT4j738jdDnB52f9ThBk+aIjhrbXHqv\nbKAdgAraTYWEqUeJY8ZV7QTaddKMmzltY3oaxuGkkDMTK2XIawuh36Xtugeqx/Z9emync+fqUAan\nxnfgBXrucCU0L2ghAywHRE3XODolBtZdLPc4VeInhcGL/iyW1taM6BmqoTBMC9nAzJKJOQ3gf4BR\nCHEfgNtSSppdvAVVeR763+sAIKVcE0K8qx+/YL+gEOIPAPwBAHzgAx+IfGMaGAp6Qn+o7GC2T+eo\n6AUgBJZ7HSDgshhYlypUvXAHRw+NAI6DC9fXMTHiFRXIlSpqwicEjj66C4C3gzfb6zlH6YSfzG1D\nvpDsourbfc7qUOPBUZO7g9lQWt5/geR9OG2Uz0zj8v0uSpQzKIJDqwLO+Biyn+t6t8NmgPsw0+10\nbB5BxVNmsmqFOtHvFVOpxbAuskhzAGonodFiRod23g/Ac/JQux6Wa2xqMU3RsT5ci/zld9H/7Ber\nCnKW57R7k0TNftX/Tf61Wo5IvSCmiutEQZ8CJX1OUHtozVVz6jfeweSH74OzZzf6A2K/nYtxts8T\nZdwQl3R+bgFiz24cud+F6Msgf3kBjz90H5YqFUjt5JPzRRyfPleVW/SFw09h371eCDudv0mKbdQK\ni98Ezk8gpX04DgoRp75CbcqJSRv1JB7ZG/ckNpETulEhzy7CZUPruqOHRnR7Ud1xzP/+hW+qzQM7\nnVSzG0hxuaaD7nD7HInLjUpEfe4O0hV9mNyaM1kA2awSwPujnaC2aD95YBRwHGXgWijC0UMkCZiv\nL6ixLz+/gLwe30lgh+PAeXAcV27fwsBqBVNLAziyTf2GtFEVrPZOkPiZK1WAdUeJqI7AodGdVWNs\n3Ge3H8dV3ZkkpEoAFUL8JoCilPKnQohP0c0hD5UJ7vNukPJrAL4GAA8//HCinZjlHoECXLjC0Seu\netqAK81JTdWqL/zohprASX0iA5BvvoPCzl0o9QjjqqBBJuggDU7IZvskDq4AKK8CQmDy4E7AdU0O\nIqD2Ce2Mq2TEtXasmdbTrv4LNNaHO82JSxcxs8vVF9HaFd+nFnuQPbYpJvxdDfdhpttJ0zyiHiQJ\nR3p+IEPccVGUAiJksB3F5aJeBDmBdh0MrG/cqUzzGc/hujnnN2npw0Exxw75jcsBF8SXWzPrRULl\n33gHkFLNj6fPmSrvx6fPAT1K6JzZrm4UfRnsu3cH3PkiCtuyOProLjWfXihWCbJGCMqEFVxUX0/+\nZ0Ul1PZn1ePPfx1LlVVM5rbB1aKs56QbQPCVgvlCh3szcOAt4AlbQLPdiXa46WYjDX24XSKyGYdM\noaEQh11ECggKBS9F5NEMGnHqFXFMiLzjbyf5LnLacEfnILWJuOtFrRD6uM9lvrfB+NQZG0Ua+nA9\nOONjXlh6f1aZSo4pIdH95bzKS04Cpi5qlL/8LuA4PlenG/IpChlgcv92NWYikC+8WFT9zVECtujL\nYG+pgtk+qV/P/4Imava9VeTnFtQYu1pBKZsBIHG56G02MUy7SJUACuATAD4jhDgKoB8q38ZpAPcK\nIXr1jsv7AfyjfvxbAHYDeEsI0QtgO4DFRt/86G4V1V9aUwPBckiQ/7KQajgTAhACA2sujj72gHF4\n0slMLk8IYaZMhaGMEUgBNQhU5cKwnfL0d4jdnLAvbmGJ3ZkNpaP9N02sPJfH5UMjOuQ9WvwEgIOr\ngoX69MB9mOl2OtqHyaHzyYfu0+131B1pHOJobkH5zmvMNYKQU4c2dFPo3OlmUj8O5+cWIBYd4yZD\nf7bK/Tl5YDQ6t2YCaL48tOai1Ovg7lpFhfyuVpBbBQoD3iTdnS+aBfPEiAtMn8PUooOcFlSmlhwc\n0QbnXAXAyqp57uT+7XAuXfSisqyIldl7+uBC4Oh9Pbi75gI6Vz+53OzPZDtBbezweJu9pQpOX18w\naSSe//bPPeGsxbkjO0Dq+3AU5PQMOj+raCDvcVwIe9y4Srml6X5q0/1xeTyB6PD4/E+U2/nxT7xP\nt/VPo7tgKTCVD7bjqszXImnkxAbnxk19Hw5+H5RiZGrRMaaSK7dvQQ74BQ0zdpZXkZ+9CUiJo489\nAMAq/iyl0SdKQmJmWElG1H8oBQlc18whZrKAs7aGqUUHn9oVnhbHFcK4TAGo51rnEgnvSZ2fUXmT\n2QnK1CJVAqiU8t8A+DcAoHdb/rWU8vNCiP8DwOegqq49C+Bv9VNe0e0f6vtfazbXhn+iUi3chC0P\nlnuEt4CAEjpLPcInbM7e04eBdentdjgOCgM9WO4R/tfUomphKOO3pQOYfGQczvhoooGfTvRNlEg9\n9aSh/3Ya6m+XD42o86JGomsHSvxMWv2SaT/ch5lup9N9mBakNPYFF6hR5JbVYmFmm+Nrt5VgoceI\nwo9hUF5GKoJ0tY4K8o0uTOj6Qg6lzTq/6XQfDtL/1UkA4cVe6oFcQQPrEvnCHaC8CvHB9wNQYkz2\nS8d8v+nKc3lM7t/ue41CBljuy+DgKlDSK5ihNRdYXcfpuQUlyA6OqtygwxXMbPMElWUBDGYyOPu5\nZ5SrtT+L/q9O+sLuAeVqppDNASmqhB65WjEuuL2liirGVKrg9A3tPv2Mv9q2HUq9tLaGQ6M7jRP2\nyP1ewdXJ/dtNtJdNN/bztPXhVtLMOBSXA7QQGEaD7WbG7DhI2Aq6n+naNaR/DTofhur4deKcr8bt\nRwV0UuD+S0sfrvf89zk/54uq+nqvg8ncNhSGRpArVTwB/WEtds8tGEGTNpx8uTr1v5MH1Nha6nWU\nM19H8dm4kDh1YCfcQJEsB8KMhYd2jsFdVQ78qbvKgU+RHSTEx20CNZNrlmFSJYDW4I8B/I0Q4t8C\n+H8B/Lm+/c8BfF0IcRVql+W3m3mT73zmGRW2e7OoRUkJnwhqnei2aOkKgZltmerdkzB0uM1V7Qal\nQkv2W9HzC0OZyItb3M4Hkyo2pP+mAfeX6sJVGo4ZWnTul6nFttRSY1rPlunDzKZlQ/rwbCDfcbAd\nRSEgIAbbtXCEmifQ4oLacSyL2u1aNOP2IeopHsIASNE4HCZiUxV3U8BzpewrLlQvYnwMhQG/e3JZ\nUD8PdNa+jMl/TyHzhSHvPHDGx3Bwvoj8T2+gfH3aF6JMFYJpHv38t3+uHNxCmFDiu2sVOBAYcCVe\n/ZWDUwdGjdNqYjA8XUXQ+WkX+TCfsS9jNhGcB8e3Qvqq1PThOCKdn01gflfK0Rn4ncn1TMaXXKBi\n+9Udg+oP2niidgLiKrE7e3arP0iEpDYdW0yIfC13a5wzlVJX0LlEmwk4rP5J2Zq34304yfdx5fYt\nSGsaQeYse24x2wcMSDXW5gtFTO7f7nPWU6QeieIz9/TVNLYQMws3zd9Da8ohun9sJ67cvqWc73ML\nABxgfKzhsY7mHNTPklSDB9gJyihSK4BKKb8H4Hv67zcB/NOQx6wA+OeteD/fYCLgD0W3MLks9P12\nfqKgWDncm8HdtYpJ2E6uzqlFB6fGd8AtWYnP110s9wi120wVLpfX4Ty4q/nPg+RVYZnWsNH9t9OY\nHXE9aYs6fwgHQG69dTvXTOvZan2Y2XxslT58aHQnAKuYkW6nHVGny6fZ6s7dSJr6cNTCcWLEhXPp\nIk4DQHnVJ2zbDrarQxm4axWUeoVyl62UkZ+7DmEJLfZvmj15TAlFVfnpBLBawVBPj1dgtD+rHJT9\nntq6f2wMl4tFU1SofGa6KiFfmAgvxsfgwK2O+JIScF3Ia/Oq2rI+xqkIN2zUefnC4aes/JGf9xWG\nsZ21KRN9GiZNfbgV1CroE+duj8vROXVX9d9PDa/72kmptTEVF35Px/DE+a9XfS4g3p1KzmWKesgX\n7qg7NoHe1Ik+TA7OMKdx8LcMyycc7AukQ+TWHWO+GpDq9omRDJwDH8LU3ALk7FuY/PB9RjB14Jm+\n7L8BmKjVUg98wuhgb6/vGOi4T1y6aLSP4LlB+kSc8zM4LtaxV8wwhtQKoJ3m0HsqP1BhKKOESZ3o\n31QyE0Il8u3P4lDZuxDkKt7umFytAEJiuUd4O9JwMTFcwdnABTT/kxu6apt3sZu6m0X2sGdjB7yw\ngLAL8IlLF3GiVqVNhmkTl4tF5R6qtTGoRdGhdYlXb/byLhzDMJuOg3ruQNd8asfSRD7ORjl41+82\nona7YWfG5uHUgVFcvX0L++iGbJ8RtqeWlMuM3F777t3hq3iehNc+pxbFH/vWOQDSMyG4LgDLqbRS\nRn72JsQH368EWatauztfVOKn7m9yvggIYcLvCXr8xIgbWghkIGJfl0TUKEHf0RMjEjjLc9Mo7FTH\nXj4zDQxXTA48PgfSz0YU7IkqLnfhuhJGKW/shRv+VCm1ChXFCZRGnNVRiEFxNs4B6vX/5UA7PmLA\nfHfT1dXr7WPo1k2ARqlKgaChVAoTIy4KGfV92t+J/T09oTeRzO//kTGgr9c43FU6PomD80VkT34e\nx//yL0yYOwAMrLlY7lEGMFdrH3b9EpMLFBKiP2uOJfhbkdteXpuHROvOm9yd8POQc4AytWABVEMT\nk4kR6F1pPVDofBcUhmAPCmZh4zhAT0+VAzRXqmA2EApc6nVQGIARKknQFItOVQ6kYFXsmSxMtUsK\nvbEvwHZVzqBAmjSnBsM0Qq4CFHpcf/XhkDAJBxTSw0MPwzCbkP5s7XYEy4HK7cF2LVwqRKNFV9M+\nXPt5+VkVpvb4xx/wtZNAIYu0EKd23Hu2gq2y+E07VMn87loFry8UMTFcAXLbkJ+7bvIHzlgV0gHg\no6PeHLV8ZhqoEe5tL1wH1lU/y5XUvDuYJxNAaORJZFFQKZVwaYXCy/kiXO1MRZacDDAbu6IvA7la\ngdizG874aPVLBgR96O/AdmSTWJob3Kbbi8hbuVCDxw5sPdFno2hWGDF9MBAq3sxrTgyr/ljS5wu1\nKQ+ncSzvHPG3NwBy6JFD9OyxL/jup2PJ63NKWte+57/9cwDA0UMjvja4T4dCYuHEYNm4NukaW55T\nmzmTB0ZR6Mmg5Dh4XWsDQPU4sX9M6wx7etVv1JfxOTmXe5SwOZOFET990a0BSJw3Y/Eb7wDZPkzu\n346r/d7jGh2vKJ1K+cx06HlUpW/UOA8ZJgpWIYKsqp0Mu7K7jS2ImoJGrmsuVoUeF7T1VhjoMbvV\njvR2rvfvUmHtdu6hlW+rZO9XXznv28khYdOekNlhC3QMEyOuTyAFeLLEtJ/j0+dQyAClLAA7FXbI\nQuTQe6tw9uzGC7/F/ZJhGMamYecoGs87iqx6nHEbZRM+D81Vge+kM4PdIPUTNqekgj52TsvCQA9y\nJcu5bJkCGskRa3NhRhVTNkXG+rNAedWrVGzNOewKyID3W688l1c3ULX6EKYWHchrCyYia2rRwZH7\nXfMZLheLar5tp5fKbfOtFSZGXGC1Yh5Doi/gFZYhF93kfke7s65X9U363pl00dbxK1hZPqLSfDA3\nKEFiFzktqQ3UdmgCtd2jgPd5l3cJXzvR5y+v+o+77L++JS0stVXWtXQ9ndHr/oKjbiPnJ+BFqBLu\nL+dRGMrgxKWLVWkznv/2zyHLq5j88H0qN7PZ4LFc9fo1jb7xkTE1NhXuACtlU+fkwo9uAIBpQ0pl\nHPuZyl+M6wvA4fY7Mm0DWa3X42s9EwYLoBaUy2fCXY4sQGBET01wAPJhTf4G1iWWe1TVayNuzqlB\n4Pj0OWD/9sgLXdiEzDeQ9GvnZ0hoUdKcGgzTMK4bWqzLhElAiZ/5N95B/5d+b2OPjWEYZgOJq/Ib\nBQkon/zE+3ztZATnIMnco7QAzpXCF8S1SGPVXmZjGeztxV0q4KNzyeXnFgAhvCiqR8YBhAsXcc7P\noKNSjI9hagleoaX5oq+SfK3XDINeQwQKcdjz6uyxp0zBGkC5QJ2xHabfFzIAeuooWBY4b9CX8Qmy\nUofr28ezVUSfjaJVKTjq2fQh6Ld88pXzvjZBazYvR+wXfffHiZi1oM9X0A7OYJh5HOTwHIhwn9Kx\n0PdqHxudo/k5fR+79WoSHCdIyD6lhlM8/+ZbvtDz3LqD/OV3ffpEFSEbnKoyu0ZvIuULd9QGk9Yk\nxPgA5JtveU/SG0655fWWp+qp59wMaikMUw8sgGpU+LuLwk4XpV61MzKzPaucoMvrKjSMBoc33lF/\n92eRW3dQgAtA+l2h8Iul+TfeUTsvqN6FLux8AMvDvSrnkA4lepKcoCFCZzA0nna72fnJbBQULlbQ\n4SxV6Avk0Lo6L9CfRf+f/dHGHiTT1Tz68rn4BzFMyjATdVpkJlxUm4WLdmNQO8ni+rs/VWLT4w/d\np9vvqDt+q/bz4qoC1yKuqm8SOuH85LyjyQkrwkPFNjzhU210Dkjh5RRsAba4QqHq8tp1z/kJVAmH\nYnys5u/a/9VJANWV68OYWnSAxQWU56aR06mmXne8YxruzXhViH85r45LH09+bgFYKatz2HFw+saC\nOZ5g+ObZY5/3pQKgtYgT4uLiuf3GEjdGtHXTJ8IQEzdmU2g5OaWf/3sv1Dwux+eF19V1hMLUyXWN\nz6l/jn5UvRcVcKL2a/q9g4Ko3TYu7D/8D742weke/EQV2qIx+Oiju8zvCACzPeo3z/9kHphbqP79\naWwqACivYvLh95k8ycdfetGk67OdxT4x/sP3mfc7+qiKYqU2jXP5y+/6wtejrrWtvubyNZxpBBZA\nE+A8OI7+Z79oRB9ADTQqHyhA8QKz92TVbvdqBYWBHm9B4zhAts9zdOi8KGQftwexWgTDek5cuggc\nGE10oeABgmklarNgxJ/zMwDtC04tDdS908wwDNON0IKllHV8bVpMRNFwGLtFvV6MuKrADBOGO1/0\n+owW7EtCCSe55XVf5eqzx44lKtBpCx+0iLaLC9musjChhVycUYJmFGFzYxKZTtdwYS+trZn8p9iW\n8RkffLiucXXS69r5/+3PQKJBYecDQLHoyyrEtI5mQ3HDNgYAv2gXJeTR7bSBEPW4qOtFM2N27KaV\n3lgwUY2BMHVBoqw+dhEQacnxSdEPr96slhjCct3Ww1bbuLqqo1GDfc4JrL18BdoCv9vk/u0+pyZt\n0LjzRRyfPmeKIALK+PXPHhtWmzt2Co6QKD+D1jQmD4zCuXQRpxN/umq4cBGzUbAAapHXuyYzeuEx\ntC5x4cdvo//PvqAKD424wPD2qpAVYmDdBVbXkf9Z0WdDtwVUoNohQgytuVjuETi4KnD26Wd89yUZ\nBLb6jhmzMaw8l0fhUG3xE1DnT27d4QsYkzq+/4P5uh7/yd8Yb9ORMIxiQHpCkt2uh6GIysFRULj+\np3at63ZPrYf7+M5n1ByFCmJ8JzBnSRu8sKofmlN+7OVv+NrlM9M4cr+LZUf4coDCcQC34jk14XeN\nJsF26pKzaOquF0p/9pgncoo9u434Sc+1XUd2NXibpL+9EVQdB+jL+Ao4HZ8+B5QrJmehMz4G1zoW\nOV80YmhYuK99TEHhlqJm6HV5br+xtMIt3q7NJFP9e1CFwE8tDSR+blwldhInD7637GsTNOY/+q2/\n9rWJJNEPZhMg4hi5r/uJGjcPvrdqNkkP3l3D1N0s5DW9+ZLtQ75wR20KffX34OjCyVitGGdxfm4B\nk4+MY7YPvkJvACC1vuH+Us2T8z/Txq+PqLGNNrhOHRg1BZmzJ60CzoFrbdxvzjCdgAVQi8n925UN\nnHa0ewWOProL+2nwgBIzr9y+BZkBlgPrk+UeB4UhB5MHRk0hg6GOfMKjAAAgAElEQVQ1F8s31S5L\nfl4NTsEwBEcCgMqnURjoAVZWa15wk+w+Mkw7ePKV87j70H2hFd4NUsIB8NozX4h+DMNsUuoN3f/x\n07WdgUx30WhuzGVBQpIItOOhcDcTkqbbceHzR3crwdNdc33t7yR+5+bguUu6oTyFJHI+oXNhXrg2\nj9ygyklPEU/k/KRFuBgfw8SIi6tWlXj797YL/BgnJYAJnVUnf03l2IfjAHerj824QO3Q+Bocnz4H\nrFYwdTcbKWSFza3dERcIqUdGQpTt6rRf4zQ8Zyo9JjhnJ4dp9uQxIyC4VNAUKsweDaSWYJIRJ2iS\nkWVqyX97LRdm0mI+jWLyeOpzMSq6KqqORS2aSYkCeOMFXYeoHRRKG2GrpTAJjkXDvYHfM+DIPLJz\nDdj5gCpQtFIGhMDEcNlLpZEFkFWvQUJmIQO9ltNzDQk4Op0fAOMMDcsrSmP7vvExlZc0JGVHK5yg\nDNMuWADVTAyXMTvc66uGBgClHoHLb79twtlM4nIBVG2bCAGR6QXguUPpQlDIqEHEruAWZOpuFvJn\nanAHJ4hmUsTKc3mgvIqljz8Q+1gHwh+OwTAMs0WYWbhZsx1FMHy9nnD24GK3kcVvvVAu8wvaLbIy\no9qUZzEJnQi5b3RhtdkX3PWSn1sA+rMqvBLwQiz7s0b0u2oJm4ASOveWKuq7rFGsg+bLNH8+cr9r\n8g4enz4HDJaRXymHip5iz27t/BxVQo4WXmf7JAZ6ekLF1Cguv/020AOUtBBwSPdX22nqDuv5/mH/\ncxsJxw+S1DXLtBZzjk/XFhnDaFVaERpf6xlPAeDLn/4QAKCk16rUfgHN520mtz/0eUltMjvIVX2u\n63PVtJHcuMPjbDIKAz2eXtGXwXKPxIAVAaLcu2Xl4tyWqXruco9QdUdsB78AXAg1f3j7bfM7k9hq\nF+RyLl3EPlRvZtkEN35aKYgzTLOwAGoxsC5R6vUETUeqASVXqhhHp0GY/6mCSEKFAu27dwfcW0s6\nnN3RA4xKGl3ocTExWMaU3vU9ulsNSmqCKJSdfMQ1YTNRFwBOFs1sJOUz0ybnbXCDwId2fv7wt353\nw46NYRgmTQz2qmkVCT/UjoPC12kOUk84ezAdSVx6EmLvLWVtIqcHtdtNu11STPOcuHRRFeI8/FTV\nwrX8K0/Ym7qLyI37fffuMIvfIVe13VIREyOucZkN92bMuTLcmwHK6m9bxA9GWxF2FXdiYsRFIQPs\ntx53+e234fY6KPUKFTr80ouhTlB7bk3hn3Dd6vm/Rf7yu+Y5QEDg0Tn6yUEXdH4G3WxU9JTPh84S\nNz41E4ZOv/2ELqx1+oYOWz4c9YzwY6MNgeCx1RI595KzL+tvE/Qa5PSut//l9MvR6+cq0Y+tl62e\nwsT8VitlFIYyyK07mNFTC/V9C5R6BR7/xPswIAVe+9wxTJ2ZxsRwGUNrrtlMGtLRHkG9g3QMwF8I\nydmz2yukhNpCdrAvRgmjDJMGWAAl+jLIrcMMKFTxnSq7P/6J98GF2tiqJQK580XAdZEruWYCRwNP\nrtTCqwHDbADk/Cw8uit6Ua3PlUN31yIrVzIMw2wFTJ40nQohqdsht6zycM5sc3ztJFBciRtox1EY\n6KnZrgWJTo2IAN1UfGmrhV7WQy1R4rQuYjSZ26Zy1bkSz//tDCY/fJ9+crWoKFcrcMbHIG7f8rnH\nBjMZLK2t4dDoTpyeW4CcvwOhq6avPJc3VeIBACPjyFW8BfnMzV/53oPm5RN9qtJ6mAPNHXEB1zUu\n16OHVCi+XZiGqlnT+5oce3oz4crtW1haW6sq/uTOFyHnF3yiLbOJoH6rw42xWt+6j5yf1K+CTtA4\nF2etPJ9xOZ+NY3mn62vTeU1Oz6DzkygEpv92O864w+NscnKlCqaWBjAxXMaMrt5O4qULlT5n5V/9\newBA4bEHvKJW1vMB6ELOWhiVApBA7k4Z+TfeQf+f/ZH5rep1IRP0G9MGWlzhL4bZSFgAjcABfHZy\nwheWpoUfGniG9J12tffJ/dtxdUdW7XyX1QWJwikozxYNBm4gp1HcBYAHD6adlM9Mm0lY8AJajfCF\nRzAMw2xlnDrTgMwO99Zs1+J7b6uF7GG9sKV2HM2IroRx6tVhHm3GQcW0lzCHDzlBiXpFCYqksjmk\n9cqzTz9jHJf5y++i/6ufV+35onGS7bt3R2S4rslPp+cqtmvvyu1bGJACuXVhzA255XUUhjK42p/B\nvojjnVp0vIIiAYxAJb0T3M6RN+QC+8eUuBk85hcOP6XmVYGK9cEiITy37w7MWs9yPpMjmPIw5wt3\nfM+hc2cqZn1HfSr4/LhCRtR3aAMu9LzVRYyC7z0xohaxJIpRO5hLOmo9kMQBWm/YfZCtIoiSU/jI\nTld/30JfN9W1klKMgFKMkINTCLhSYvLAKPJzC1XjLvXZYF7PXKVawA4bh2oJ2TxuMd0EC6Aa2tk9\n/tKLmB3u1fZwBzPbs8r9KaxwdyLgBF0WwGxW4OhjD+DCzCKwUlYV4R8Zh1tKr8OBYcKQ80VV0Oue\nvvCiR/pc+P5P32l4h5BhGGYzYTY0hb8dvzgIjrH1V4Gvl2YcoBM692FJF2egdlzhJaC5HHsbzVYP\nvUxCWJVfUxV4vohSLzCzPYsvf/YQCm+/jdzyuikOZjsusVJG+cw0TgPInvy8cQ4Z4fD6gnGI0XOd\nA+p1TMh6gP1jqor6E+e/juUeld9O9GVCCzPRcdNrTwyXgb4MSnqldHz6HJDbhvwb71S/0WoFcF0s\nC4mZm0Vz/r++UMSTr5zH3lJFC6uewy0Yvs90P2Yu/Jd/4W8HiBIXvf6wHGgrnv+2Ckd+/KH7fG3o\n/vuxl7/hezy1f/j07+D4Sy8CAFztUqZ2veaFg6vh16YkBQCj8tryOOvHFHnbqavCrVZwZGcP4Dh4\n9VcOLheLKAkvbN23RhMCs/f04ehjD1SFvhM0hn35s4cAhM9PWvVbUBQMOz+ZNMECqMWJSxdNYmE7\nN4Zv2KgR/j4gvVxFk/u3eyE0mqh8MrQjdlffP/nIOADg7LGtfQFgOgdd+OKKaVCoZfnM9JafsDAM\nwzQa3u3CXwXeRXIL6ZH79SxFz0+o/VriV6ifZsRTolZRSKYztDPH/OViURkLtjmmoJCcX0B+HsbB\nKa3zhcQSqo5u9xcSkCiX6CF9+0dHx8xx2znocusOZnuAZUfADRRmst+HnhvKqt9tReH8wRyhSd3f\nkwdG4YyPxhaGYTaWuHOA5rrH9QaOvVajuXNeO4ijRKQwcRDwNpJmtqk+NeH4N5ao6BiZcqidZOOp\n2TE7LjdqrWtf0iJIjGLywCgKGS/X68y2jKrSLoTqSzpPq52708aFPxd4VQq+bF9Tx8e/G9PtsAAa\nwE4sTDsmpR5RPcho95udE3RZSDXo6AmeI1VFSmdcW80XqhdC5TPTkLR44bUAkwLKZ6Yh33wLj3/8\nASX+R7g/HQDf/bt/hAgUPmAYhtmyNJgDzoGXw8tuJ6Hk1G5HcWFmEYDnJqI2EqQtza2rNzGhxev1\nT2DCnINphTf4PILFLUjU8AQhFVFlC0mXi0XkKp54QpDDjZyRtuPNfr4zPobssaeMoFQ1r9ZV6N35\nIgo9Lo5PnzPv9eQr54GhjBY+49VJKmB0Vr//8elzKqKrcAeTuW0qvJRcoCGV6A+u6nBS19X5+hwA\nji/sPXvyGBwuErLliBUCg3n0A23nQWWQMS5Lamu+d0NdNz61S50P33vbG5cF9VW9ASACffcqGR70\n/VcDBojYzb0m858C3XVN2HCE2hh99OVzWi8Q/qhUS6egX31A6xj5uQWIPbsh+7MQ42Pe91zD+dnq\nfKwsmjJpggVQixcOP4Xj0+cw5KpEwMTsPX1wg4sRoQYeF6paPFBdVc0VapfagcrnMTGidv18lSZH\nXLNYGXIB0ZfB2aeTFU1gmFZDYVlAwPlsIyWG1iUuzCyaQgQMs5n5/g/CwyvD+ORvjMc/iNm8xCxg\nozi0Uwk/tDCmdlohkYsKYpw99oVaD2e6DHuxWpdba7USGhFCoehBkZSg3Jr288LEInKCvmCLk/By\n24k9uzExXAH6kgnyS2trJhT+dasyfRWOo8VZFZqMbB/yhTsQ4wNqnj8+ZgShqUVHVaOPMdi1023L\nNE/U71HLCdlsKHc7x9W4/KFxkAP7yM413Q5ICDWufcGCONzX4/FtGEl4WXGsvx34ix+6Wo84uCrg\njI+Z33rykXE446M4vSFHzjDphwXQAFSBEv1Qu1d9GZPLJ1j0yFRd02449Rj4UnddHQpPtG7yHq2U\nvWqYrgsZMXlkmI1gYsTF7C5dpTUy76fAa8/8Lso3pzf02BiGYdKOnU8cSJ5fbeamdtOIQDsBVIDR\n3kxNwpc//SEAgKsXSdSux33TSOEkDofsToK/26GymjNTQaP8T9RGkRTCN49N8rsmzYVJTlA6nqtD\nGey7dwfEomM2b/M/04v+j6jXPPusOieffOU8ltbWqtJLBN3WwWrFStDM4NSBURNyP3lAzdvPHvOc\nnBTWnD32FM6CRLBe33ye/uY+vzXZKNH7u3/3j+qPFkZoxRVJMtc+nf/07Jd+r+o1ZIQrlK8JAQJu\nWgfSM2L5hisBRwKDmQz2liqY6ZNwICJTLJDz03btFzLeBhXA+ViZrQELoJrg4Auo/Ci5kidQqp2W\nkHB47QZd7hG+3ZjhXjUgPf+jn0OulJG/BohFB+U5NahQpUlT7U9b1Blmo6ELHQbLcPsicsNo5+dr\nz/wuAL4oMumhHocmw2wEjeTEbBTK7zWji1tU5fuKoNF8pYCd667oa/N1YfMQnBeHOiMJvWD3qlcX\njQhq5hcApnQoOODvM2H9JolYRBXqaV7tQ4fFm/ff3YPB3l4jcAJerl13vginTwkJ9v2R6JylXtGm\nxvt98HPxuZRukvTLuN/OFO067L+dHM2lrONrB9NKNOKkjBvvYx2iSUPcnWr3NX1XtEm35QXOOFz/\nLmYwwhQAIIGBdf24DLlFBQ6F5EEO9lmG2eqwABqBMz6G3C/nkX/jHZPoXN3hmEWGLYRSHtBD75ZN\n4Zh9oztw+vpCaMYhujiuPJdXF4u+DIcTMx3BVDuFl3jdl1dGt4fWJV692csOZYZhmBjqdUbSQobc\nNWZhk4Bgsbq44nUEhQ1P5rapduGOuqPNwzuH/nYn++7d4YkmK2W1ab+o8lvK+XerokZkHYJ6kFoi\nYKhb7MAoXiCxVQgVok5FSLWxwK5GPLNws0oMHZB+0ee0fr68dt0YGFR4fabqtcNIfOzgc2Crkb/8\nbkPPo/4SdCkH3XthKSUohH1iUKVxmFoaaOiYq64XmlqbYnHiK18T/IRdwx0pcfC9VRSGMljucXBw\nVaUhmBhx4dy7w2fgisJOHVLIAFgpo5TN4vWFIo5Pn/Ol6eN1HrOZSZUAKoTYDeCvAOyCMlJ+TUqZ\nF0KMAPjfAfwagH8A8IyU8pYQQgDIAzgKYAnAF6WUrzfy3r68nPNFtTvnukYIUnlAgaF1SxiiZMNS\nGgGUyJUqeP7bP1fi54qXT1TOF9H/1UlvR3qlrMJ1+rN11Hxl0kon+3CjyPkiCodG/DcGCn4NrUtc\n+NENk0Cb2Zx0Y/9lGJtO92EKfaeN0qSh8MbFqStKJ3Vx+p5bpwPUG8uXA+14TCVk8/nqXyzV4zjd\nSnS6DxNhbrPymWkT+mozeWAUWK2YPjh5IAusVjB1ZtoU0yBInLFdlACq3KLB40hMts/Xl4Nh5wBw\nsCwxdWMdE4PqGLwcoo7J6RlKX0alytJikl20pRHnpl2Fvl3FRzpBWvpwO2lEpAv2fWr3f3USgFUd\nnooc1TnftteWdtvuQ0ZcW/I/N06kpHOqMLTmayeBzq+jeq2Rn9MF91LctdPchwfWXUwt9vo3ZwJ1\nRgAWkhkmilQJoADWAPyhlPJ1IcQ2AD8VQlwE8EUA35FS/jshxFcAfAXAHwM4AiCn/3sUag7yaKsO\npjCUUdUe5xZw9LEHsNwjkFt3UIDfqQF4OzP5N97x5wrNRoQTB2BRadOQqj5cC3uilCtV1KQomOfW\nEj+hxc9unIwziema/sswEXRlHyY3zScf6vO1Ez139iYA4PGPP+Brx0Fjef4P/4Nq/9kfJX5PL22K\nP8y4nusDOZKYKlLTh8tnpiHvdyF0QZPsyWNefksdtXTi0kVcvX0L+8bHfMKNO19UYungqOeYjEFa\nDlNACUTBeUeYW6x8ZhrlOb/YKueLoXNrenwUU4uOyjN62PsO7M8OAMfnVWhyvT3YPnYSPzepSJGa\nPryZaEUxIW+DzC8B0Hj8qV3ruh2exiXq+bXwzsPa4mnKzoWO9eGoDdH83ALQrxXqJnQDSqlQPjON\niX63SjhlmM1OqgRQKeUNADf033eEEL8AMA7gswA+pR/2EoDvQQ02nwXwV1JKCeBHQoh7hRAP6Ndp\niCu3b0FmgJLOcTJzTx8++YlxrzBBFoB0MLTuYmhNTfyNeATg6KO7AAAXfvy2J37qHKEAgJWyb0LX\nzTu8TDVp6MNJmRguY3a4FwM7H/CJ+daHgQPgwswii59bhG7qvwwTRqf7sPPguPqDhCBqx0AFiNBA\nQaLJh98HAKZgI7XPRj1BY0QgPT+pZz5CLsAZnSN9ot9fECPJ+24Gp1s76HQfJqjqeskBsFZJlIuT\nchYGo6rs/PbBHKCAEivLZ6Z9EVNRx2S/vkvPC4HmLJEh84efQl478MSe3dr5OZpICLiq5/x3qZjI\nSy8Cgy7ycwux/ZnEz7trFVOBHgBe2ETFR9LSh9MGOT1X9KYTtQnqe098038etQJyK1Mhr1N7PPcy\n4I3pFNEYLHLUzJhP712i9z7gf28iTX2/k3145p6+0HYwVV7Y5ky9FDJQxZ8ZZguRKgHURgjxawB+\nHcCPAdxPA4iU8oYQgrY9xgHYsTVv6dt8g40Q4g8A/AEAfOADH4h975IdzS4EqmPT1Q0kGtEOjbNn\nN5ZvFgFITH74PrVTI4TJIZp0B5zZHHSyD8dxfPocCgM9cAGUekKqvWsG1qXZqU3DhITZOFrZf/Xr\ntbQPM0wcnRiDG63mfrmoH+cE2gloNmzy6GPKOfpqMuNoS96TSUan5hHlM9NwR1wUelxQp3Tni16l\ncxIWL130CYtUlZ0canfXKkAWvrB559LFeGGHjANWKG9wDmI7OeutXHzl9i2cuHQRz9c+iqrXCuZg\nTEIwxN8dcbEXVLRk85PmufBGE7fpFFcsKC4HKDmo7WJkSSlkarfjxvzNXD08zX14YsRNNqaGkD15\nDPu5MBKzBUmlACqEGAbwLQCnpJTvCREp0ITdUS1XSvk1AF8DgIcffjg01SbtUt/N6le1K73Tu0g1\nDTx4dw1wXSN8EjM3i9qBITB7Tx+OPvaACh2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DTcrtWDTL8MWrsJv5058tbJ/VBYXNzRNFAR2bXDtGOGrpuhwmZhI3Mn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BFIUQo+2sU4i2dbrxG94D4EUp5Rv+L7pxjfJCkP6klG9IKTellBaA/4D6378jJLSx3cCj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FYBUw3doSmY73REVQrTozcw++wSZgBYw84x5tCFW95TGL9m0xcv9Ulg3IuZ+lbHe+9QTctJhkNI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\nciCiNgC3AfgfatMcgF8XQrxBRCkAzxDRPkiZvEoIMaTOe6vnU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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "%matplotlib inline\n", "sns.pairplot(data,hue='Gender',palette=\"husl\",markers=\"+\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It seems that Balance account distribution doesn't change across Gender. But, if we calculate the mean value of the Balance by Male and Female?" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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cYCK33jpYRi8CALRpOufI/GuSQ2ut/y7JsiSvKqUcnORPk/z3WuteSe5L8tbZayYwlbe9bbCMXgQAaNMWg0wd+Jfh0+2HS01yaJJLh9svSPKaWWkhAADAZqZ11bJSynallLVJ7k1ydZJvJflhrfXR4S7rkyye5LWnlFLWlFLWbNiwYSbaDAAAbOOmFWRqrY/VWpclWZLkwCT7TrTbJK89r9a6vNa6fNGiRd1bCgAAMDTSfWRqrT9MMpbk4CTPLqVsuurZkiR3zWzTAAAAJrbFyy+XUhYleaTW+sNSyo5JDs/gRP9rk7w+ycVJTkrymdlsKDC59763axEAoE3TuY/M7kkuKKVsl8EIziW11s+WUv4xycWllPcluSHJx2exncAUDj+8axEAoE1bDDK11huTHDDB9jsyOF8GmGdr1w7Wy5aNWgQAaNN0RmSABe600wbrsbFRiwAAbRrpZH8AAICFQJABAACaI8gAAADNEWQAAIDmONkfeuD97+9aBABokyADPXDIIV2LAABtMrUMeuBLXxosoxcBANpkRAZ64IwzBusJbxUzZREAoE1GZAAAgOYIMgAAQHMEGQAAoDmCDAAA0Bwn+0MPnH121yIAQJsEGeiBZcu6FgEA2mRqGfTAF74wWEYvAgC0yYgM9MD73jdYH374qEUAgDYZkQEAAJojyAAAAM0RZAAAgOYIMgAAQHOc7A89cO65XYsAAG0SZKAH9tmnaxEAoE2mlkEPXHnlYBm9CADQJiMy0AMf+tBgfeyxoxYBANpkRAYAAGiOIAMAADRHkAEAAJojyAAAAM1xsj/0wIUXdi0CALRJkIEe2GOPrkUAgDaZWgY98KlPDZbRiwAAbTIiAz3wkY8M1iecMGoRAKBNRmQAAIDmCDIAAEBzBBkAAKA5ggwAANAcJ/tDD1x6adciAECbBBnogV137VoEAGiTqWXQA+efP1hGLwIAtEmQgR4QZACAbY0gAwAANEeQAQAAmiPIAAAAzRFkAACA5rj8MvTA5z7XtQgA0CZBBnpgp526FgEA2mRqGfTAX/7lYBm9CADQJkEGeuCSSwbL6EUAgDYJMgAAQHMEGQAAoDmCDAAA0BxBBgAAaI7LL0MPjI11LQIAtMmIDAAA0BxBBnrgrLMGy+hFAIA2CTLQA5/97GAZvQgA0CZBBgAAaI4gAwAANEeQAQAAmuPyy9ADO+7YtQgA0CZBBnrg85/vWgQAaJOpZQAAQHO2GGRKKXuUUq4tpdxSSrm5lHLqcPtzSylXl1JuH66fM/vNBSbyR380WEYvAgC0aTojMo8meWetdd8kByd5eynlxUlOT3JNrXWvJNcMnwPz4JprBsvoRQCANm0xyNRa7661fm34+EdJbkmyOMmrk1ww3O2CJK+ZrUYCAACMN9I5MqWUpUkOSPKVJM+rtd6dDMJOkt1munEAAAATmXaQKaU8M8llSU6rtT4wwutOKaWsKaWs2bBhQ5c2AgAAPMG0gkwpZfsMQswna61/M9x8Tyll92F99yT3TvTaWut5tdbltdblixYtmok2A5vZZZfBMnoRAKBNW7yPTCmlJPl4kltqrR8eV7oiyUlJ/mS4/systBDYossu61oEAGjTdG6I+ctJ3pzkG6WUtcNtZ2QQYC4ppbw1yXeTvGF2mggAAPBEWwwytdb/l6RMUj5sZpsDdPGe9wzWH/jAqEUAgDZNZ0QGWOCuu65rEQCgTSNdfhkAAGAhEGQAAIDmCDIAAEBznCMDPbBkSdciAECbBBnogU98omsRAKBNppYBAADNEWSgB047bbCMXgQAaJOpZdADa9d2LQIAtMmIDAAA0BxBBgAAaI4gAwAANMc5MtADe+/dtQgA0CZBBnrgvPO6FgEA2mRqGQAA0BxBBnrglFMGy+hFAIA2mVoGPXDbbV2LAABtMiIDAAA0R5ABAACaI8gAAADNcY4M9MCyZV2LAABtEmSgB84+u2sRAKBNppYBAADNEWSgB970psEyehEAoE2mlkEPrF/ftQgA0CYjMgAAQHMEGQAAoDmCDAAA0BznyEAPvOxlXYsAAG0SZKAHPvCBrkUAgDaZWgYAADRHkIEeeN3rBsvoRQCANplaBj2wcWPXIgBAm4zIAAAAzRFkAACA5ggyAABAc5wjAz1w2GFdiwAAbRJkoAfOPLNrEQCgTaaWAQAAzRFkoAeOOmqwjF4EAGiTqWXQAw891LUIANAmIzIAAEBzBBkAAKA5ggwAANAc58hADxxzTNciAECbBBnogXe9q2sRAKBNppYBAADNEWSgB1auHCyjFwEA2iTIAAAAzRFkAACA5ggyAABAcwQZAACgOS6/DD1w/PFdiwAAbRJkoAd+4ze6FgEA2mRqGfTAj388WEYvAgC0yYgM9MDRRw/WY2OjFgEA2mREBgAAaI4gAwAANEeQAQAAmiPIAAAAzXGyP/TAr/1a1yIAQJsEGegBQQYA2NaYWgY98IMfDJbRiwAAbTIiAz3w+tcP1hPeKmbKIgBAm7Y4IlNK+atSyr2llJvGbXtuKeXqUsrtw/VzZreZAAAAPzOdqWXnJ3nVZttOT3JNrXWvJNcMnwMAAMyJLQaZWusXk/zzZptfneSC4eMLkrxmhtsFAAAwqa7nyDyv1np3ktRa7y6l7DbZjqWUU5KckiTPf/7zO74dwDZk1aq5eQ0ANGzWT/avtZ6X5LwkWb58eZ3t94Nt0a//etciAECbugaZe0opuw9HY3ZPcu9MNgoYzQkndC0CALSp631krkhy0vDxSUk+MzPNAbq4887BMnoRAKBNWxyRKaVclGRlkl1LKeuT/Nckf5LkklLKW5N8N8kbZrORwNTe/ObBesJbxUxZBABo0xaDTK31jZOUDpvhtgAAAExL16llAAAA80aQAQAAmjPrl19mjrjvBDOk62HhcAIA5pIgAz3wznd2LQIAtEmQgR449tiuRQCANjlHBnrg1lsHy+hFAIA2GZGBHnjb2wbrCW8VM2URAKBNRmQAAIDmCDIAAEBzTC3blo16vdwFeH1dlwpeOLamT/0+AIBRGZEBAACaY0QGeuC97+1aBABokyADPXD44V2LAABtMrUMemDt2sEyehEAoE1GZKAHTjttsJ7wVjFTFgEA2mREBgAAaI4RGbZdXa75u1CvE7xu3WC96vwpaqueuH2hfpakX7+bvunBZdsB6AcjMgAAQHMEGQAAoDmmlkEPvP+wayYvHnbY3DUEAGCOCDLQA4fscefkxT32mLuGAADMEVPLoAe+dOce+dKdkwSWO+8cLAAAPSLIQA+ccc1hOeOaSaaQXXPNYAEA6BFTy2Zbg5eRney+iWOrtvza3l9pdR5+n9N5+Q9/OFiP/92tXLlVbzunNv+MK8em97qWPuOsa/C7BgC2hhEZAACgOYIMAADQHEEGAABojnNkoAd+8xf/bvLiq141dw0BAJgjggz0wC8+8/uTF3/+5+euIQAAc8TUMuiB6+97Qa6/7wUTF++4Y7AAAPSIERnogQu/84okyS89Z4LA8sUvDtYvmCToAAA0SJBZiDa7t8Nk93XZEvfYmHmdfhcrV432HiPuz9Co90SZq/uurFo18svG30dnrv8db6mtk93jZ0bbOc0OG//vcZR/N4//ePfeWbj8boBpMLUMAABojiADAAA0R5ABAACa4xwZ6IF37H3l5MVjjpm7hgAAzBFBBnrg+TttnLy4665z1xAAgDliahn0wJd+sHe+9IO9Jy7eeutgAQDoESMyI1g5tmrwYNV8tmL6ul62eT6Mv2rm4/08DSuH6239ksWXrD8kSXLIrrc9vm3T73/Z2uuSJGvv3ucJrxmhmx83yu/m8feZxd/NVl2a3KVa58YC7OdNTZrsUtJT6fLvZj66oOt7LsBfF8CkjMgAAADNEWQAAIDmCDIAAEBzBBkAAKA5TvaHHjjjRX8zae2WF712DlsCADA3BBnogd12eGDS2r/u8Kw5bAkAwNwQZDpo6bLGc23zS3dO93K9K2e6IVuwalW3S68uVP/n3pckSQ7d7eYn1Rbde1OSZMNu/3ZO27SQzem/4ZWr5vz4Tqb5GSe4NPbKGW4Hc2SzL9/pfL/N5KXRXe555ulT2DJBBnrgirtWJJk4yCy+a00SQQYA6Bcn+wMAAM0RZAAAgOYIMgAAQHMEGQAAoDlO9oce+IOXXDJp7eaXHD+HLQEAmBuCDNM23Usps3U69fP2k5ce2X6nzm1h/rVyuff5bmfvvp96dA3dqX43Yys7/syJXjdqn/Woj0m336djoHmmlkEP/N33l+Xvvr9swtrPf39tfv77a+e4RQAAs0uQgR4QZACAbY0gAwAANEeQAQAAmiPIAAAAzRFkAACA5rj8MvTAn+z3yUlrN+73q3PYEgCAuVFqrXP2ZsuXL69r1qyZs/ebytjKVfPdBABoSpf/di60e/xMeA+a6epw35G5vlXJ1rzfdF470e9zyj6dqw5wH5kks//7nyullOtrrcu3tJ+pZdADn/7einz6eysmrP2b763Ov/ne6jluEQDA7BJkoAfGNrwkYxteMmFttw03Z7cNN89xiwAAZtdWBZlSyqtKKbeWUr5ZSjl9phoFAAAwlc5BppSyXZL/keSoJC9O8sZSyotnqmEAAACT2ZoRmQOTfLPWeket9SdJLk7y6plpFgAAwOS2JsgsTnLnuOfrh9sAAABmVefLL5dS3pDkyFrrycPnb05yYK31tzbb75Qkpwyf7pPk1u7NnVG7JvnBfDei5/Tx7NPHs08fzz59PLv07+zTx7NPH8++hdTHv1BrXbSlnbbmhpjrk+wx7vmSJHdtvlOt9bwk523F+8yKUsqa6Vyfmu708ezTx7NPH88+fTy79O/s08ezTx/Pvhb7eGumlq1OslcpZc9SytOSnJjkiplpFgAAwOQ6j8jUWh8tpfxmkr9Psl2Sv6q1ulkFAAAw67ZmallqrZ9L8rkZastcW3DT3XpIH88+fTz79PHs08ezS//OPn08+/Tx7Guujzuf7A8AADBftuYcGQA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "# splitting data \n", "male_= data[data.Gender==' Male'].Balance\n", "female_ = data[data.Gender=='Female'].Balance\n", "\n", "fig = plt.figure(figsize=(14,7))\n", "n, bins, patches = plt.hist(male_, bins =50, facecolor='blue', alpha=0.5,label='Male')\n", "n, bins, patches = plt.hist(female_, bins =50,facecolor='red', alpha=0.5,label='Female')\n", "plt.axvline(male_.mean(),linestyle='--',color='blue',)\n", "plt.axvline(female_.mean(),linestyle='--',color='red',)\n", "plt.xlabel('Balance')\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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IncomeLimitRatingCardsAgeEducationBalance
Gender
Male45.6103164713.165803353.5181352.98963755.59585513.466321509.803109
Female44.8539284756.516908356.2657002.92753655.73430013.434783529.536232
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" ], "text/plain": [ " Income Limit Rating Cards Age Education \\\n", "Gender \n", " Male 45.610316 4713.165803 353.518135 2.989637 55.595855 13.466321 \n", "Female 44.853928 4756.516908 356.265700 2.927536 55.734300 13.434783 \n", "\n", " Balance \n", "Gender \n", " Male 509.803109 \n", "Female 529.536232 " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Gender_differences = data.groupby('Gender').mean()\n", "Gender_differences" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The mean difference in Balance by Gender is : -19.73312307576782\n" ] } ], "source": [ "print('The mean difference in Balance by Gender is : '+ str(Gender_differences.loc[' Male','Balance']-Gender_differences.loc['Female','Balance']))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, we got it?, is this difference between Male and Female Balance enough to answer the initial question?\n", "\n", "**Short Answer:** No!\n", "\n", "**Long Answer:** No, we calculate a mean difference, but we haven't checked yet whether this value is statistically significant" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hypothesis Testing\n", "\n", "To check the statistical significance of the mean difference estimated above we can postulate the following hypothesis:\n", "\n", " Ho: There is no difference in Balance account between Male and Female \n", " \n", " Ha: There is a statistical difference in Balance account between Male and Female\n", " \n", "We want to calculate the p-value of our estimation to compare with a accepted threshold of significance choosen by us:\n", "\n", "$\\alpha = (1\\%,5\\%,10\\%)$ " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### How we calculate the P-value?\n", "\n", "1. We can use the traditional method of statistics: assume a distribution for the data, calculate a statistcs like t distribution. \n", "\n", "2. Using the data and some sampling techniques we can computing the empirical distrubutin of data, and to check what is the probability asocieated with our estimation (P-value). \n", "\n", "\n", "As we know traditional method (1), lets do the uncommon approach. We are going to see that this method can be implemented easily and have a huge power in more complicated tasks.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data Sampling: Shuffling Algorithm \n", "\n", "The Shuffling algorithm is a sampling technique commonly used to simulate empirical distributions from the data.\n", "\n", "The basic idea is to simulate the distribution by shuffling the labels (Male and Female) repeatedly and computing a desired statistic. In our case, the choosen statistic is the mean difference.\n", "\n", "If the labels (Male and Female) really don't matter to explain Balance, then switching them randomly sould not change the result we got. \n", "\n", "**Steps:**\n", "\n", "1. Shuffle labels in the data. \n", "2. Rearrange \n", "3. Compunte the statistics: mean by Gender." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Building features and target variable\n", "X = data.Gender.map({' Male': 1, 'Female':0})\n", "Y = data.Balance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First calculate the statistics (mean difference) in the data. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The difference in Balance by Gender (in the data) is: 19.73312307576782\n" ] } ], "source": [ "original_difference = female_.mean() - male_.mean()\n", "print('The difference in Balance by Gender (in the data) is: '+ str(original_difference))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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GenderBalance
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" ], "text/plain": [ " Gender Balance\n", "1 1 333\n", "2 0 903\n", "3 1 580\n", "4 0 964\n", "5 1 331" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create a Data Frame with desiered variables \n", "dataframe = pd.DataFrame(X)\n", "dataframe['Balance'] = Y\n", "dataframe.head()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Step 1 & 2 \n", "def shuffle_data(frame):\n", " vec = np.zeros(frame.Gender.count())#.astype(float)\n", " vec[np.random.choice(frame.Gender.count(),int(sum(frame.Gender)),replace=False)] = 1\n", " frame['Gender'] = vec \n", " return frame\n", "# Step 3\n", "def mean_difference(frame):\n", " return frame.groupby('Gender').mean().loc[0,'Balance'] - frame.groupby('Gender').mean().loc[1,'Balance']" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "\n", "def simulate_distribution(frame, N=100):\n", " a = []\n", " for i in range(N):\n", " a.append(mean_difference(shuffle_data(dataframe)))\n", " return a\n", "\n", "def plot_distribution(dist,data,color='blue',bins=bins,orig=True):\n", " fig = plt.figure(figsize=(10,6))\n", " n, bins, patches = plt.hist(dist, bins = bins, normed=1.0, facecolor=color, alpha=0.5)\n", " values, base = np.histogram(dist, bins = bins)\n", " if orig:\n", " plt.axvline(np.mean(data), color=color, linestyle='dashed', linewidth=2,label='Original data')\n", " plt.legend()\n", " plt.title('Mean difference')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "## Simulation\n", "N = 1000\n", "distribution = simulate_distribution(dataframe,N)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_distribution(distribution,original_difference,'blue',100)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Calculating P-Value\n", "def pvalue(dist,estimation):\n", " return float(sum(np.array(dist)>estimation))/len(dist)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.355" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p_value = pvalue(distribution,original_difference)\n", "p_value" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Conclusion\n", "\n", "As we get the calculated P-value for the mean difference of our data is 0.316, so for any of the proposed significance thresholds we cann't reject the null hypothesis. So there is not statistical evidence to show that balance account is different between Male and Female. " ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 1 }