{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "*Python Machine Learning 3rd Edition* by [Sebastian Raschka](https://sebastianraschka.com), Packt Publishing Ltd. 2019\n", "\n", "Code Repository: https://github.com/rasbt/python-machine-learning-book-3rd-edition\n", "\n", "Code License: [MIT License](https://github.com/rasbt/python-machine-learning-book-3rd-edition/blob/master/LICENSE.txt)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Python Machine Learning - Code Examples" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Chapter 10 - Predicting Continuous Target Variables with Regression Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the optional watermark extension is a small IPython notebook plugin that I developed to make the code reproducible. You can just skip the following line(s)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sebastian Raschka \n", "last updated: 2019-12-05 \n", "\n", "CPython 3.7.1\n", "IPython 7.10.1\n", "\n", "numpy 1.17.4\n", "pandas 0.25.3\n", "matplotlib 3.1.0\n", "sklearn 0.22\n", "mlxtend 0.17.0\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -a \"Sebastian Raschka\" -u -d -v -p numpy,pandas,matplotlib,sklearn,mlxtend" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*The use of `watermark` is optional. You can install this IPython extension via \"`pip install watermark`\". For more information, please see: https://github.com/rasbt/watermark.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mlxtend package (http://rasbt.github.io/mlxtend/), which contains a few useful functions on top of scikit-learn and matplotloib, can be installed via \n", "\n", " conda install mlxtend\n", "\n", "or \n", "\n", " pip install mlxtend" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Overview" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- [Introducing regression](#Introducing-linear-regression)\n", " - [Simple linear regression](#Simple-linear-regression)\n", "- [Exploring the Housing Dataset](#Exploring-the-Housing-Dataset)\n", " - [Loading the Housing dataset into a data frame](Loading-the-Housing-dataset-into-a-data-frame)\n", " - [Visualizing the important characteristics of a dataset](#Visualizing-the-important-characteristics-of-a-dataset)\n", "- [Implementing an ordinary least squares linear regression model](#Implementing-an-ordinary-least-squares-linear-regression-model)\n", " - [Solving regression for regression parameters with gradient descent](#Solving-regression-for-regression-parameters-with-gradient-descent)\n", " - [Estimating the coefficient of a regression model via scikit-learn](#Estimating-the-coefficient-of-a-regression-model-via-scikit-learn)\n", "- [Fitting a robust regression model using RANSAC](#Fitting-a-robust-regression-model-using-RANSAC)\n", "- [Evaluating the performance of linear regression models](#Evaluating-the-performance-of-linear-regression-models)\n", "- [Using regularized methods for regression](#Using-regularized-methods-for-regression)\n", "- [Turning a linear regression model into a curve - polynomial regression](#Turning-a-linear-regression-model-into-a-curve---polynomial-regression)\n", " - [Modeling nonlinear relationships in the Housing Dataset](#Modeling-nonlinear-relationships-in-the-Housing-Dataset)\n", " - [Dealing with nonlinear relationships using random forests](#Dealing-with-nonlinear-relationships-using-random-forests)\n", " - [Decision tree regression](#Decision-tree-regression)\n", " - [Random forest regression](#Random-forest-regression)\n", "- [Summary](#Summary)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from IPython.display import Image\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Introducing linear regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simple linear regression" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 3, "metadata": { "image/png": { "width": 500 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='images/10_01.png', width=500) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multiple linear regression" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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eyVUdAAByo1cFhEcK847kjb94eW1tW4LDJEna/VoAAPR+wo/uVdNY06X1h5QO6dL6aZMkr38+du7eH3c9vjJWv7LzLde92rAv7l30Qjy1dnv8v/cfHwP6lUXD3sao6lsqTAcAAOigXhMQPvbYY22eu3bt2vjyl78ctbW1kSRJlJSUxJQpU+Ld7353jB8/PgYMGBARETt37ow///nPsWTJkvj1r38dTU1NkclkYvDgwXHTTTfF2LFju+rtAADQwwg/4M3t3t+U/Xzc/PCy2F63t13rV7+yM25+eFl88fyTY0C/sti9vykq+pR2UbcAAAC9W68JCKdMmdKmeUuWLIlrrrkmamtrI5PJxN///d/HDTfcENXV1W+6buvWrXH99dfHHXfcETt27Igvf/nL8cgjj8SkSZNy0T4AAD2c8CN/Zq2dFfXN9TmpVVVcFfPGzstJLV7X2NSSPXb3rsdXtvvzUZTJRL8+JbF3f3Pc8/vV8empE6OxsSUaS1rafO/OTBwI3CuLKw/7/K7mXdESLe3qCwpNc0tLNDa3RHNzkt3NHhFRXJSJ4uJMlBYXRXFR24/6rCquyllvuawFAEDn9ZqAsC02b94c559/frz66qtRWloa//mf/xkXXXRRm9ZWV1fHd77znTjnnHPi4x//eOzYsSMuuOCCeOaZZ2L48OFd3DkAAIWss+HHa7bX7Y27Hl8Znz/vpNjf2BJl7Qg/0qy+uT5nASFdY29jU0QcOHa3LTtr3+iMY6vj4jOPiX5lr399LS8rjrKS4oh2bLIdWDIwIiJuGXtLJHHoLSN2N++O+Vvmx+/rft+u/qAQNDa1xN7GpmhqPvztUJpbkoimiD3RHCXFmSgvK2nTvy/+YAIAoPdK1W8bbrjhhti+fXtkMpm49tpr2xwOvtHFF18c11xzTURE1NTUxA033JDjLgEA6Gk6E34cbPUrO+N3f3rlQN39TZ3uDfKtuaUlmpqTSCKJBcs2tmttUSZzSDgYEbGvsfnAg6T996I/kn7F/eLSYZdGUbq+JtPDJUkSu/Y1RsPexuzn7E+bdsQjT62P2x9bEbf+/Lm4/bEV8chT6+NPm3ZEEkk0NSfRsKcxdu1rzNnnBwCAnic1Owj37t0b9957b0RElJeXx6xZszpc60tf+lL8y7/8S+zZsyfuu++++Na3vhXl5eW5ahUAgB6kM+HHkTy27KV4z4Sjoqn5QP32HAcHhaax+cDu2pWbauPVhn3tWtuvT0k2HGwqa71L9NXmTHs2EGa1JIc/RrQoUxT9ivtFRXGFHan0CC0tr9/7NuLAH6ksWLbxsJ+zZetqIiJicGWfmHryyHjvCcNjf2NLNDc3RmV5aRQVtf40DSkd0vVvAACAvEpNQLhw4cKoq6uLTCYTkyZNioqKig7XqqioiEmTJsVvfvObaGhoiIULF8YHPvCBHHYLAEBP0ZnwI+L1e6u90b7Glljzys4Y//aB0dicxGunwL3a+GqHejzccYqH4xfCuVXTWNOl9XvK/1/N/3fk4drNdbktnCQRmY5EhNA5hfDZTpLXw8Gdu/fHXY+vbNMO9lcb9sW9i16Ip9Zuj//3/uNjQL+yaNjbGFV9SyPj8wQAkCqpCQg3bnz9r7mPOuqoTtd7Y42XXnqp0/UAAOiZOhN+HO7eaq/pU1oc5aWt77H22j3U2iuJJHY37479yf4OrYfOeG1308ZXd+Wk3hXP/2PUNdVHSXHRgc9Opm054Ws7B+ub6rOhef+S/nH7uNtz0hd0p937m7Lh4M0PL2v3vW9Xv7Iz/j979x4mV1nni/77vu9aq6qrq/oWLkk6AUwIpMMliDoDKFGC8LAPyB6PW2f0eUYl3PbI6JbL43jmiI86OOPMIRFv20EUcM8zM+6ZcevIFg9hBIkQ0WPEAJJLmwBJOjeS7q5bd1Wt9b7v+WPVWrWqalXXtTvdXb9PNKnurlq1qmqtonp91+/32/zYTtz9nvXoj1mYKjjojZiztLaEEEIIIWQ+6pqA8Pjx4/7lZLK9uTAAkEqVDgC98cYbbS+PEEIIIYQsTK2GH7Vmq1UuN0xSJpueGzWtpnHnvjuhUN5eMSESuH/V/U0ta77wGkzGRbzlZWRltuo56bR79t/TsZaVC/n1ynlzA9uUctJIOikYmkMKs+mAMCmTDVfVEjKTU7Vv245CwXa354ef2t10OOg5kcrh4ad2484bLkbBVrAMBVNQS2tCCCGEkG7RNQHh4OAgALcNxwsvvNDWsrTW2LFjR9WyCSGEEEJI92o2/JhpthoAOAAKMjz1qDVDrRbOOKI8CgW1qGareRWVW1ZtaTnwmZJTePTYo3g29WwnV61MWqYX1fPeqqgpOro8aoZITrVTtW/nbAeAO3OwkbaiMxk9ksS2XUewYWQZcgUHZo/ViVUkhBBCCCELQNecGnbOOef4l48ePYp///d/b3lZP/zhD3H06NHQZRNCCCGEkO5E4cfCFBMxfPTMj4J3z69Gc05wd2teMdT6HPiZlktIN5FKwZEaGhpbdx6qf4MGPLnzIDQ0HKkh1exWVBNCyEImlULOdpDN2UhNFfz/Z3M2crZD76GEkAWnayoI3/nOdyKRSCCTyUBrjT//8z/HpZdeipUrVza1nAMHDuATn/gEGGPQWiORSOBd73rX7Kw0IYQQQgiZ9wRnkEpjxVAvdr52sq1lebPVACBiCESKMwi99olhM9RqWSyz1U7a9Z/TZisqgzjjiIkYekXvvK3yCz6+sMuTzmRbLTOXmEtaX7kGCMEAB1i1tK/Dyw0PdSu3h7Dw13u+wp43pdWM2xRnFCaTU8eW7ra5e2wS45l8R5Z5Mp3H7rFJjAwPwpYa1GWUEELK2Y4bDDoy/POWVBpwgGlIGIIhahnUspkQsiB0TUAYiUTw4Q9/GN/4xjfAGMPY2Bje/va34zvf+Q6uueaahpaxdetW3HLLLTh8+DC01mCM4cMf/jAsi1pwEEIIIYR0q06GH95sNQDoNUwUJA8NCGmG2vwQFl4yML/1qade4FTLYgmiTMExDYm1wwMYikc6EmpwxmAUKwipjpB0E1k8OL3/aKqjy91/NIWR4UFIqYAOV8QTQshCpbXGVMHx575qaOwem8T+oykcGs8iZ0tETYEVQ71YtbQPa4cH4EggM23DMjlilgHWyKBkQgg5RbomIASA++67D//2b/+G48ePgzGGQ4cO4brrrsPll1+OD37wg/jDP/xDrFmzBn197sGdVCqF0dFRPP/88/jnf/5nPP/8834wCABnnnkm7rvvvlP5kAghhBBCyClG4cfcuGf/PVUVfs1UVAYt1OrKlEwBurxyEADu2n8XMjLT1LISIoH7V93f8XUMIziHIRgcCVy7fgW+99y+tpcZMQUYmLuD1NhJUtINUPpEk+G9Lv4/iLnPGVAe3HrfI2SuKKXBAJzI5BCPmm0tayrvQGl3Yx8bzwIApKaTTwghBHDfbzM5260OhDv3devOQ6Gf9b0uIkPxCK5dvwIb1i1HwVaQ0kY8aoJTW3RCyDzVVQFhf38/Hn/8cVxzzTWYmJjw24T+4he/wC9+8Yu6t/fCQa01BgcH8fjjj/thIiGEEEII6U6nKvzoNmmZrhkQnuqKymB4GRdxbFm1pWz90k4aSZlsaFmMsZqBlta67HF6lzMyM2/bo3qiloHMtI0N65Zjx/4TGD3S2PMRRgiOiHArnGbaPXSNoKPf6PcvJ0TCD/y8ys9vnfet0O1psVR01tJIO992zHYr227RWwwFb964tmaru0ZNFRz8y3P78KvfH0fOlu43G1ikVAq2VJBS+wfOAbflthAMpuAQfHHvL4SQxU3rUjiYnCrg4ad2N/TZZTyTx/ee24cd+09g08a16I9ZyORsJHpMqiQkhMxLXfeJ7c1vfjOefvppXHDBBWXVgFrrGf8PwA8HL7roIjzzzDO45JJLTuVDIYQQQggh80TUcs+727BuOdYs669z7ZkZgiNi1A8/yPzhhZdpmUZGZqBRHeQ1/GeRVu+YgsMy3V8/N21ci9P6oi0vK+a1P6QAnXQ15u8Crf6/1zLwJ+9Yjb4eEz1WYL+qwXYU0tMFpKZsTOclCo6CVNr/f8FRmM5LpKZspKcL/rxEQghZaKYKjh8Obn5sZ9MnNo0eSWLzYzuRnCpAKrdNKSGEzEddVUHoueiii7Bjxw58+ctfxje+8Q0cPHjQ/1nl2RzeL+haa6xcuRJ33HEH7rzzTphme608CCGEEELI4uGFHwVbYdPGtdj82E6cSOWaXg7jDDFR/IhO4QdZZGKWASlt9Mcs3P2e9Q2fjR/EGHN/Z2ON7R5e8MoauLZ3Hc54VQVhcLbkYq8kDGvn26q5bGW7GI3b4zCZiZiIlbbh4j+xKEe753wzzdEHC3/7p5eBMQbBGMIKXGgGFyGkm9iO8t/vHn5qd0uf6QHgRCqHh5/ajTtvuBgFW8EyFEyxuD9DEEIWnq4MCAHANE186lOfwj333IOnn34azz77LH7961/j2LFjmJiYAAAMDg7izDPPxFvf+la84x3vwFVXXQVObTIIIYQQQkiIToQfcctARjUefhCykDDGEI+ayOTc/eTOGy7Gtl1H8OTOgziZrj27kzO37W6WlQISVvy3EdNyGj2ip6GQkIS38yWnTlk4WIahoX6gDeqxBARnsCvaltIMLkJIt8nZbrXftlcOt9USHXArCbftOoINI8uQKzgwe6xOrCIhhHRM1waEHs45rr76alx99dWnelUIIYQQQsgC1k74wRBSGUXHUckixDlDosf0q5E2jCzDlSNL/WqksUA10vBQL85b3o9E8WBatjgirdn9o6ALKDiF8JBFl2ZFTjqTAIC79t+FjMyUXS04W3LIHGrqMRPSKlb8k5RJOKpz7ekqq2CVqWFwd0ak18EXoBlchJDuI5WCI93uA1t3HurIMp/ceRBXjiyFI93l04xWQsh80vUBISGEEEIIIZ3STPjxpjMS6I0aMDjHhGytMoqQhYgxht6ICctQyBUcOBIYGR7EyPBg9XWrLqDl/aOybWjl97zLGZkJraALuz0hc2G2Z5MG9zMRCA8rZ3A122bPm8F193vWoz9mYargoDdC41oIIfOXNzt199hkaKV0K06m89g9NomR4UHYUoO6jBJC5hMKCAkhhBBCCOmgRsMPBsCoOIOY0dxB0kVMwWH2WJBKwZYaUipIrd2uiQwQjEEIDsaqZ8XPBq/CMC7iVT+Lizi1KCXzwu2jtyPlpPy4utnwkIGh3+wDAPTxfmw+935//wpu4TSDixDSjWSxzfL+o6mOLnf/0RRGhgchpSov1SaEkFOMAkJCCCGEEEJmQSPhB3Va6wzGWFOjuIJBT2UolBCJjq4bqU9w7p5NP8cHzCxmoc/o89stDhgDAIAtq7ZUVQsyMP/nhJxKKSeFpEyW1742+f7nzQJkmgd/UBbE0wwuQkg38uatHhrPdnS5Y8XlyVmuCCeEkGZRQEgIIYQQQsgsOlXhRzfpE31NXT8hEg2FQmRx6xE9p3oVCGkZg3deBANjzYWE/jICJ6kEz1ehGVyEkG6Xs+XsLI8+ahJC5hkKCAkhhBBCCCGEdBVW/BPkBcRKq9CweMKZaOm+lphLWrodIfWUh4QAdOunOQSrB2kGFyGk20U7fGKfvzzqHkIImWcWTUBoWeUtKhhjyOfzM16nE8LuhxBCCCGEEDL7vCrAdm7nXR4yhzqyToQQMpdKISEAxsC8r3R5oQor/sUbODpNM7gIId1KcAapNFYM9WLnayc7ttzhoV53+TRfgBAyzyyagNBxnLKvw4bYV16nE8LuhxBCCCGEEELIwpJ0klBQuG3vbUjJ8mCEgSFhuPMpGwmmEyKB+1fdPyvrSUgl76iEDn7FGihUqXEFmsFFCOlWQjDAAVYtba59fT3e8gSVTxNC5plFExACpbBOz/BhkzE248+bua9OLIcQQgghhBBC2qIx4/wx5v+1OCREYsafK+22R3QrqMKfGAaGhEiUza9UUNBaIyVTSMpk1fW957DVylWy8FUeA9AV+96p3tfKg8L20QwuQki3MQXHNCTWDg9gKB7pSJvlJYkI1g4PFJe/iD6QEUIWhUUTEF5xxRV1q/kauQ4hhBBCCCHzHWOs7gHW4Hw173JcxKuuVy9sIe3rMxo/C90LroBSEBUMvLwqtiCtMeP24P3oVIcXndJoZZ7/vNVAQd/CddLuXNu3MJVzI21HIWc76I2YZd9P8ET1vsda29fC3osr52Q2qlO7Oc3gImRxmOv3zIVMcA5DMDgSuHb9CnzvuX1tL/Oa9SvBwGAIBsHpswchZH5ZNAHhs88+25HrEEIIIYQQMt8Fq55qSYiEH4AMGO5Zy1tWbalZUUVmz4NrHmzq+rWCq1qBl4aGrRSkVJDKfYUZ3Dk6QnAYnIFpVh4UEkLq0lpjquCgYCt/v3GU8isJN587u21k+4w+MDBY3MK0nJ7V+wqiGVyEkG4WtQxkpm1sWLccO/afwOiRZP0b1bBmWT82jCzzl0sIIfMNvTMRQgghhBBCyAKltUYm5yBr21U/s6X7F2cMEVMgYgi37SbDgmzx12iFghekTjqTM7YY9YJz7zoTzgSyKouMzHRgbclcuGf/PUjLtPuFLm7W2vtSQyoNKTWkDgTnjEEIBsFZqUKPAX0igftXlwI/rTUy0zac4jy+7XuP4orzl7ptRS2Az2HI1cN75jYgpBlchCxKZe+ZbVrMs3ZNwWGZHAVbYdPGtdj82E6cSOWaXs5pfVFs2rgWAGCZHCa99xFC5iEKCAkhhBBCCJknOtnuM7gsryJtyBzq2PJJuKzMYkpOISZiLbWwDAZXlS1Gg4GXBqC0RlZOIW3PHGgprTFdcGBLhZhlgIMtxHxw1k3JKfz3w/8dEp2du0ZmT1qm3YPdGmDg6OVuhVrBUcg7smpmIAA4xb8YY4gYApbBAQ0oaD8w1FpDa0ApjfR0Af/481G8djyN9eechphlwLQT6Oux3OuyWq1sW20Q6u7zGhpJJ4lBY7CNJbWGZnARsjj575mkrphlQEob/TELd79nPR5+andTlYRrlvVj08a16I9ZEJwhRtWDhJB5it6dCCGEEEIImScW65nY3URB4dFjj+KjZ34UMRGblfvQcAOMrJzCNw98u+FAy5EKmbyNeMRckBWEjZp0JgEAd+2/q2Y1YFzEsWXVFgClAPaWPbdgQk7MzUqSztHA2/vegZuWfhQ9IhYaCtbDGAMPhPPu94DeHhNgwH+99oLiXWkorRtskakDkWNzNDSm5FQLt+wMmsFFCOl2jDHEoyYyOTckvPOGi7Ft1xE8ufMgTqZrnzSxJBHBNetX+m1FBXeXw6i1MiFknqKAkBBCCCGEEDLvzVZ15Wx4NvUstqe2o1f0Nn1bL7hiYBg0BwGUAq97X/0sMjKDqYKElApZmYWCQr/RXBtAofisPwenkldl2Wg0U6rKrB3n0IG9+YuBtxUOAm7gjpDXeLrgQAUWycCQsx3c/++/xWff/1YAgGO5IfTdu/8Saac8kBaCI2YJ97YMDQ8AFRD4u1V/N+eVg0E0g4sQ0u04Z0j0mP4s2g0jy3DlyFLsHpvE/qMpjI1nkbMloqbA8FAvVi3tw9rhAf+92zI5YpZBnyEIIfMafTJrwM6dO/Hqq68iEolgZGQE55xzzqleJUIIIYQQsog0Olutm83n6spOhm0MrGpunvf1F970ebf1YUfuZ/GbaZsJtnKdcNyqwYSR6I4npg6OzgXIcRGf3ZBLA728FzE/HGx975Ba+tuCRwkNiNLXRiGBHsuA0qV78vbIw/kjSDqpquX2OIY7/5OFZpCh5kOATzO4CCHEPUGoN2LCMhRyBQeOBEaGBzEyPFjzNoZgiFoGvd8RQhaErgoI8/k8jh075n+9YsUK8BlaW/z4xz/GJz7xCbz22mtl37/yyivx4IMP4vzzz5+tVSWEEEIIIYTMc17wsXnV5oZv026816nOoBqlLExrTWe3EwCAxSx8efWXEeXRjiwvGMTOFm/TZYy1XEE4m/K2hGVwMO2t6Kldn2bQDC5CCHGZgsPssSCVgi01pFSQWvsfqARjEILDpDbKhJAFpqs+nW3evBn33nsvAGB4eLgq+Av6/ve/jz/5kz+BUqrql4xt27bhbW97G7Zt24ZLLrlkNleZEEIIIYSQrjafqytbCT682WIFXah7Pc+QMQStAUcpZPNO0/dZS2/UgLEID2K1us1wxsFZ888HB69qJzvrlXOzJCZicOB0LGg7VcHzbaO3IxWo5nO7e1avS9lrx9zXzfu+1kA27yAh4vh/zv+i+/3iIpYkouCBZQBAv+gPXZeMk4WjNEzOyoL5hYBmcBFCSDnBOQQHYIq61yWEkIWgqwLCH/7wh/7ZsTfffHPN6sHJyUnceuutkFKCMVZ2JqL3gTaTyeC9730vdu/ejUgkMmePgRBCCCGEEDI/tBImAcVWlk3wohpHdrY6ypEaBgdqjF8jDXhH3zvw0TM/ipiIlX1/LirnOo0V//SL/qpWm63SWocuq9kQ96R9MvQ5VVCh1085SSSlW+lmMavq9QHc1+6mpTfVnRUavF9mujvK//2+SwP7jAUA+N6bH8WUzCKvysP/rJzCd8Yexi+zvyj7fliw7PEC5mCo6V3uE43PHM3IDCRkw9cPQzO4CCGEEEIWr64JCKenp/Hb3/7W/1B6ww031Lzu17/+dUxOTvrB4NKlS/He974XhmHghz/8IQ4ePAgAOHDgAL72ta/hnnvumZPHQAghhBBCCJldJ+2Ts7r8VqrbstM2pNJ49Jk9+N2BzgQ3AHDhWYP4yDvPBxcMfT1Wx5bbLTh4aDi4UIWFUbV0ZhLm7GNgiIlY1ePh4A2Fg83gxfuqDAh7RQy3DG/C/7f3l36gWStYDq53MAxlYBg03XlXD53/EJQOD0YrZVUW3zz8TTw9+XRpWS0EdTSDixBCCCFkceqagPDll1+G49+kaUkAACAASURBVLjteOLxON7ylrfUvO4//MM/+OHgmjVr8Pzzz2Nw0P3ge99992Hjxo3YsWMHtNZ49NFHKSAkhBBCCCGEzBpd/P9ktoBMzu7YciezBTfmWRhZz7zTK3r9gCcssOlUFR4wN612vQAKKLXPTct0aJVeXubx/RPfx68zv665vCk5VXbbhEjg/lX3t7WOSZmE1tp/vtNOGhq66vnXWrtdgFh42Nkrev1wsJGwrbnXsnKHcoPDXtGLtEq3HCx7j4OBNVy9nBAJ3LH8Dvw289ua1ZbNoBlchBBCCCGLS9cEhK+++ioA98y3kZGRmtfbs2cPRkdH/daif/VXf+WHgwCQSCTwta99DVdccQUAYNeuXTh48CBWrlw5uw+AEEIIIYQQMmfu2X8P0jLdkWV1IhgBgGiH5934y6POf6SCF0YlRHg73H7Rjz9b/meYdCZrLmNKTuHRY4/i2dSzHVsvrXVZ9aKC7ti8xNkU3MXqBcueWqGkggJ0/SpPABBMICESWB1djYzKVP28T/S1NCuTZnARQgghhCwOXRMQHj161L+8fPnymtf7+c9/DsD9xSMej+O9731v1XUuu+wyDA8PY2xsDADw4osvUkBICCGEEELIIpKW6Y4FhO0SnEEqjRVDvdj5WudaoA4PuRVUgmaDdczto7cj5aTAwPxZky3PqmwjWJ7tVrmDxqA/I69Wu9GYiOGjZ34U21PbO1K91imTziSUVlXh3K2jtyLlpMqvrN2TjPuN/rJvp53Se0PlTNGknULCSOCh877V2RUvirIoYkZ129Qw3nW+vubrs7IuhBBCCCFkYeuagHBqasq/nEiEnwUJAM899xwA95eAjRs3wjTN0OtddNFFfkB44MCBDq4pIYQQQgghhJQIwQAHWLW0r6PL9ZYnaEZYx6SdNFIy5XakkcWWkIswgPVCQaVVzYCQM15qrTmLYXuzz66uUXWYclJIymTllcFYdUvPCWcSYO7cwcoVSMpk9XNSZxvwgmX/6iEBs9IKHBwPnPsAbF271TBDdaBJCCGEEEJImK4JCIO/ANh27Q/T27dv9y9v2LCh5vWGhob8y+n0/DizmBBCCCGEELL4mIJjGhJrhwcwFI9gPJNve5lLEhGsHR4oLn/xBVhzzQsBE0bCDQfnSd/WmVrlNjJ7L6hP9GHz6s2dWK3Omh9P9YxYxb+VKsNJFggeg+FkQiTQw3tC5y4GdWL+5VzMvSSEEEIIIadW1wSEwarB48ePh17n2LFjGB0d9b/25gyGUar0YVxK2YE1JIQQQgghc0EqBVsqSKkhVekkMsEZhGAwBYfgVFHV7eIi3tFltRMYCc5hCAZHAteuX4HvPbev7XW6Zv1KMDAYgoEzBqU0MrnSiZS0PzTPe43nSzgIzNwq1wuYUjJVc45fsDVov+j3b+MFULftvQ0pWap86zP68OCaBzuy7osFq7wQ8lTP/ymKhBBCCCFkMeqagNCbO6i1xksvvRR6nccff9y/bFkWLr300prLm5gonZEXj3fu4AEhhBBCCJkdtqOQsx04MvxQrFQacIBpSBiCIWoZMKn1YtexmIWYiGHLqi01Wyc2i4FhwBhoaxlRy0Bm2saGdcuxY/8JjB5J1r9RDWuW9WPDyDJoABFTQGsg78iywLwb94eEqD2KIowX/DLGQqu5/HCtxc0ouEzv8qQz6W+Xnarw0lpXbeve18Hvl10uBoopGdKWcw6xwN9VP5gnOa1XXTpDPlj2/RlXO+TGt+69rao9ab/ptg9mmgPM/e+fv/96xYkhd9TO3Etyasz2vFGqJCWEEEIWt64JCNevX+9fPnnyJJ588klcc801Zdd59NFHAbgf4P/gD/4AlmXVXN6rr77qXz7zzDM7u7KEEEIIIaRjtNaYKjgo2O4Bdg2N3WOT2H80hUPjWeRsiagpsGKoF6uW9mHt8AAcCWSmbVgmR8wyFuUMMRIuJmLzqgLMYwoOy+Qo2AqbNq7F5sd24kQq1/RyTuuLYtPGtW44aHAYnKPgSPzkNwew90iyq/eHZoORYPDbiZaOzaoMDelA/izo8KauARRsVQxlK3+iAbDi3+E31oFre8Lak3JeDCW1GwqmpgvgnCFmGeCMzRgSEkIIIYSQ7tE1AeHq1atx7rnnYt++fdBa42Mf+xh++tOf4qyzzgIAfPWrX8XPf/5z//o33nhjzWVlMpmyVqSrV6+evRUnhBBCCCEt89omepVR2145jK07D4XOcNv5mnsW/lA8gmvXr8CGdctRsBWktBGPmv4BV7K4eeGg1J0dI1AZILUS5sQsA1La6I9ZuPs96/HwU7ubqiRcs6wfmzauRV/MguBuiJCaLuBft+/DUy8fLrsu7Q/tCcY/M7XwrLOQshAQAO599V584U1f6Mg6zjeVlVCNVN52qsp3LmgNTBccaO1UrbXW7v8ZNFAjgNfe9YCWtidHKmTyNuIRExwMmlE+uJjMNG+0WVRJSgghhHSPrgkIAeCWW27Bpz/9aTDGsG/fPpx33nm49NJLcfz4cbz66qtgjEFrjWg0ij/90z+tuZxnnnnG/0BuGAYuuOCCuXoIhBBCCCGkQVqXwsHkVKHhMGU8k8f3ntuHHftPYNPGteiPWcjkbCR6zEVbOUUWBsYY4lETmZwbEt55w8XYtusIntx5ECfT1aG3Z0kigmvWr8SVI8sAAIK5MWiuILHn8CSerggHgxrZHxb6XM/ZqLyrbMcZnOXXaKglUQqpvcD6SOFIWWhI70ktmsWnjTEW+rpIpZC3JaIzHIXRQDEpZBXfLP3bTDhYWY2olFtRH4+YDfY0JQvFTPNGCSGEEEJq6aqA8JOf/CQefvhhjI6OgjGGQqGAX/7yl/4HbO+D/Cc/+UmcccYZNZfzgx/8wL/+xRdfjGg0OifrTwghhBBCGjdVcPxwsJV2jKNHktj82E7c/Z716I9ZmCo46I2Ys7S2ZL66ffT2svle9XBwxEX1jPK4EUeCJ/BXb/qrttaHc4ZEj+m3zd0wsgxXjiz12+aOBdrmDgfahHopgGVwOFJBKeDAiQy+9eQrDcVVYftDzDKgNZCethGWWXTjHMO5pIM9JxcRrxIqLuLYsmoLALeSMmzeY8JIwC26c7dv/3f7wJ/ZwBirGfSG3aMGkC00XpVc62W1nepZl80uy5EKeUciYoja7UwJIYtSs7N252pZhBBCTp2uCggty8ITTzyB6667Dnv27PG/71UOaq1x44034gtfqN2yJZvN4vvf/77/C8jVV1896+tNCCGEEEKaYzvKnzn48FO7W5rVBgAnUjk8/NRu3HnDxSjYCpahKODoMpXzvWZy1cBV+Njyj6GX91b9jDPeUMvERjDG0BsxYRkKuYIDRwIjw4MYGR6seRtDMERMgZwtoTWw5/AkvvXkK5huIrQI7g95W8EUCgbniJgCL7x6guZ6kioMzA/M4yI+Y2Dn/Uxp7bfcDP7M+3lwGQ+teQgMDIOGu+17rVj7jX5w5r5Xc7j/elWcHLzt4LDerYM/91uCNlj5x2osX0MjZzuNrWDVbcvlbQnL4GCale6UELLoUetYQgghlboqIASAs88+Gzt37sRDDz2EH/3oR3j99dcBAGvXrsWHPvQhfOADH5jx9t/97neRTJYOEFx//fWzur6EEEIIIaR5OdsBA7B971EcmZhCPOpW/k3lHagmZzeNHkli264j2DCyDLmCA7PHmoU1JgudgKgZDs4WU3CYPVaxxaeGlArSG1LG3FaiQnAYnIEzhoIjMV1w8O+/eg0/e/lwS8Vno0eS2PbKYVy5bjnytoQSGqmpAh7c+goKFdVNNMewe1nMQtxwA8Etq7ZAQ9cMyL2qP+9nX15dff1a1XoaGlPO1Cw9itYF11ZrDQYgahqQhomEYVZVPJapsVs4SkM0vdOG1wgqreEoDZMzqiIkhBBCCOliXRcQAm4l4R133IE77rij6dt++MMfxh//8R/7Xy9Z0vl5FYQQQgghpHVaa78V6BXnL8Xl5y31fzZVcPAvz+3Dr35/vKllPrnzIK4cWQpHunOk5vM8NXJqxEV8xnDQa4s44Uy0fV+VM/ME5xAcgCmqrqu9aixoPP3yYfz4N6/POK+wHq01tu48hCtHlqHgaNhSwzIELjprCXbsfyP0Nt4cw98fTeHmq9eitziETWu9oCoJT9ony77uVEXoYtRr9Nat0tNaV4VTGoGKu5Dbe8Ghh4EhZsQ6scptY3DbjjJW3tpUFCsZhyJ9sKTbgpgXfy4D1/Gu5y2rkpQK1Xt4I8JTRSkVTPpvGSFdYTZm7RJCCFkcujIgbEc8Hkc8Xj1ThBBCCCGEzC+OUlUd3WKWgQ+8fTV+ve+NpioJT6bz2D02iZHhQdhSg7qMkoXElgq7x8bxv375KgD4FbXNcncZjZPpPF46MI4LzxqCV6F0zhmJmgEhY8BVFw7jP7/tHLDicjQ0HEdBKu3OKiwSnEEIBlNwCuIXqGA70AlnomxmYCMBuXd9DVl1fQVVtvwBY6CtdqHeuJHK9Q7yWpRW3i44+zB4+z7Rj4SI+y1O/crIc6srI73HlzASdcv4gvtJ02rNCCWEEEIIIV2NAkJCCCGEEDJvVFbotENrDV3RDdQoJBCzDMQiBjI5u6nl7T+awsjwIKRUoZVahFS6dfRWpJwUADc84OBuEAD44UGjEiJRNTvIbS2qIKUbsrlzBg0wVp41WAbHRWefhgc2XeHP5myFFydk8zZ2H3KDDa3dAPCs08JPouyxBG67Zh3OX+4GIlJrpKdtf1mVmYhUGnCAaUgYgiFqGfNu7uc9++9BWqYRF3FsWbVlQVVBLnjFcNlrOTrhTICD+9/zwr6kk0RSJsHB0W/0ly1CQeEd/e/AoDkIBhY6t7BSZUjYJ/pq/owX9/VOayfOC2vRSvEgIYQQQgihgJAQQgghhJAGjI1nAbgBByGNSDkpJKU7v9wLCL1EjDNeDDtqY/5f5bzWjOkpu+z2vVHDvXpwuYGwsMc0YAqFqbxTVV3bCOYuGr0RE29edToYShVUQ4lI1fV7LIH/dv3FOOu0uLs+xfX2woo9Y5PYdyyFsfEscrZE1BRYMdSLVUv7sHZ4AI4EMtM2LJMjZhktB3HtnHgQ1kY06SSRlmkordzHcoreEhiYX8k2390+ejvSTroUkBcDNC9gBtzgDgDSThoKGhzMv74n6SSREAk8dN5DxdtrKKb84NCTMBJ+tV5ClC8DGrh16a1tVR42w7ufXvTDUQpKakCU3zcv/plLFGsTQgghhBAKCIuOHj2K/fv3Y3x8HOl0GlprfOhDHzrVq0UIIYQQ0pW8Cp1W6OIQq2zBgZQKfUYCf3/BV9pep5xdnBa1AA7Gk86qG+K1s9AZFl6rys4L9zQ0do1NYv/RFE5kcrh541oADHmRBFjt+ENb8CutWiEKCUQMDkdqcM4Qj7pVi0sSEX++IWPAbdes88PB4P39x4uH8OMdB5B3ZFnICAA7X3PDvKF4BNeuX4EN65ajYCtIaSMeNcH54o01Kl+x4NdeZVvcqG5duRCknBRSMlUKyP2AsDSH0gsIkzLpB4SVG3FSJhvadh9a85B/ubIqUGuNQXPQrzxshLdujf6s8ntaA9mcXTVzMfjzWj8D3J8JzjDDatRVuXyxiPclQghpVGU3Bg+1PO8sep4Jmb+6OiA8dOgQHnjgAfzoRz/Cvn37qn4eFhA+99xzeOaZZwAAAwMD+NjHPjbr60kIIYQQ0m3SMt1+QOjYsGUbR1MrRL22onRMdVHwQobiWD3MVJw2my+5oxQc6c7i8w7guwdLOAzO3JDEX9GSgiPxN//rBRw86Va2xqMmHFmszxPwq/UqAzj/8QRmr7XGrSdkcIOseNTEve9/C370q9fw9MuHcdWFwzh/+UBZODiZzePrP3kZu8bclo69EROmYKHByHgmj+89tw879p/Apo1r0R+zkMnZSPSYLVcStnLigddGFCjNxks7aaRUqroyrQ1zVc22cMwUly0sWgPJ6QLu/h+/QCbnBt2bP3I5AEBZ7r6Rmi4gJQswOEOPZYAXt/Hgpm5w3lZAWPmUinnWupcQQuaS7SjkbKf42anaQmh5vhDQ80zI/NeVAaHWGp/73OfwpS99CY7jhP5iXOuXzsHBQXzmM5/xf37ddddh1apVs7q+hBBCCCGkeYIzeEV/nTA81Osul+aNLWhee85WK0GDN2tnS/DWYSrvQFX8PmJL96+oaSBqCb+1p3e7TN6GlBoT2cKM9/Fff/ffkHLSEIIjZorACrtxVM6WKDiN7SSVlbiCMzgSfkWf0hqWEPgvl6/GW1afjpXeTMJAOPiFf92BY8lpfxlSKZhCzJgFjR5JYvNjO3H3e9ajP2ZhquCgN2I2tM6VWj3xoLLKLDjr7lTy1ivpJP12mpVVhUorP9gEmp99WQ8r/gl+HXKlUjvUCjlbIWqVz3SduWK3fDne5ZzKISqiVdfn4P5z4j1f3szBIAWFtJP2WwLXE6wQrGwNGtbWVGuNTM5Getoufo2Kn7vXsaWGLIaIjHlLc3cPQzCgQ/9N44zBKO679F+0xlEFDCELn9YaUwXHn8msobG72I3h0Cy3PO8m9DwTsnB0XUBo2zZuvPFGbN26taydiYfVOZN23bp1eNe73oWf/exnYIzhn/7pn/CZz3xmtlebEEIIIYQ0SQiOTiaEq5b2lZZLWlJZtecLdBKcjYMBtWbQeXPxGBgGzIHiqjB/naDDApBwTVeA1cmXOGOImKU5hdr/V0PWOAu7UspJI+mkAAeYLLBA6OCur+YaaWlXBZT1VldrXWxPqP02hY4shmaMYWTFIAzOkcmVZiR+/Scvl4WDAAIH2GeuFjuRyuHhp3bjzhsuRsFWsAxFZ5fPkVrhnxc0JoxE2UuXEAlwxsv2Gw7uXi/wdqyLMwPzjnS3c/cOij8rzqoM2SQGjAH/PryvASCLLGJGLHQ/rPweB6++nnZDv5laiZauWr6/eLfpVBWoKh5U7Y0YZTMaGWOwzM4cwomYwl1fL30kM6IKGEIWB6XckzW8zx/bXjmMrTsPYTyTr7puN7c8bxc9z4QsLF0XEN5222144oknAJTCwMsvvxxXXXUVLMvC5z73ubrLeN/73oef/exnAICtW7dSQEgIIYQQMo941VYGZ36btnYtSUSwdtg9EG2K7vxFtVbI1imDYggAkMkVZv3gql9FOAMODrDqAKSWYGjhVWxVhovN8A7gl9ZUlwWszS5VaY1s3j3YUlwaGBgipsB0wal5Ox3M8Io4YzAEh9ZAruCmPo5SfuBqGW4AwzmDkhr/8eIhv61o6LIbMHokiW27jmDDyDLkCg7MHqvxGzdLByo2mywU7BN94ODlQZMurzgL2/oqtxMN7W57RcH2pt7lCWcCDAx37rsTGZlBn9FXsx1qn+hr7oHMskZm/zVTpVnQBeTtfOgcx0FzEECpcvBLr38Jf3n2X6LP6Ctbj4SRaHgmYeV9BP8FWNvPtyMVCo6CZfDinuru85bRxn9/ijc1BEfEEMFvkRq8Chjb9vZfjdEjSbx2PI3Dk1NITRVgGVQBQ8hC4FVyS6WRnCrg4ad2Y/RI/arx2Wh5vpjR80zIwtNVAeHTTz+N7373u34weM455+Af//EfcdlllwEAXn/99YYCwuuvvx4f//jHobXGr371K+TzeUQikVlee0IIIYSQctTqqgav2kK74UdbM5uKrlm/EgwMhmCz9px2y+vphUjeZe9XfkcpGJxDSt3Rg6vBkOGu0btxLDcJWTGbMiESeOjCr4KBod/sL/tZXMQbup+4iFcFBZUhAQf3Ww8y7b6WWUxAVfQNZIzBMspf64LTfktLqTTyjkIksGzL4MjZ1V1UZspmvLangBs8nkzn8NUfv4Tbr12H0/t7wMAgdWk7fmzH66HLafalfXLnQVw5shSOdPeXju8PXjCoy78XcrWaNq/eXPW9YIvPdgUDLDfo1sjIDNIyDc54x9qhNlKJB7iVhMG2pcHLwX2Xg4NpjkANcdl8yjC6+KeZkL3y8TNWCum9n3367E+jz+irWu5Dax5q+H7qabaVa5+RqNofmGaICwMAg1dA0SviEMwN5733jcoTEWrdN4Mb7scso/QNOuZak9YaWgM9poEe0537mrMl1iwbwJpl7glDUwUH//LcPvz4NwcAlFfAaAU/5KWD24ScelMFxw+tNj+2EydSuaZu38mW54sZPc+ELDxdFRB+/vOfB+B+0Fu5ciW2b9+OM888s+nlnHPOORgYGMDk5CRs28auXbtwySWXdHp1CSGEEEJCUaur+rwqwoghwGV7j33Nsn5sGFkGAIhanf/4vNBez3v239PYHLeKsKXgKOQdWRYIBOfaZXMOGAO27z2Ky89b2rH2QsECuCPTE5gsVJ/FnHGySMss4qLX/57FLMREDA+sfqChqqLg/Dfv+g+d/1BVAFJ58D7tZPHNA9/G0+Pb/O+ZghWrB0vydnmVX6txYd6WfkCoi+ttClYWQNbLk7zqI8+2V47gxQPj+MK/7sCXb7oCgFsBBQB7xiYxnq5uKQXAb0/aaEpxMp3H7rFJjAwPwpYaHdsNKrZVDQ1HaUipIKQ7I7Kyvm+h8IIwL5gObn9+cKkbq+jrM5qrigtu+xrVuet0vnblqmdKTiEmwluHLiYPXviV0O+7MxfLvx4wBqABTDoTAIB+s6+h90hDuCddcMbK2jqTal44CJRavoa1do5ZBj7w9tX49b433PcJBijtnsCQ6DHBGSsup3q8DSFk7tiO8mfhPfzU7qZDKw+1PJ8ZPc+ELExdExBOTEzg2Wef9T+UfeUrX2kpHPSsW7cO27dvBwDs3buXAkJCCCGEzDoa9t4E72FqIGaKGa86k9P6oti0cS0AwDJ5R385XaivZ1qm6weEgcDFO7jqyAZme2ngB798Dc/vPd6R9kLaG9xXvKxVeAgiIfHNA9/GHWfdhsHiLMK5CiV6RQx/dtYt2Db+HGSxIqhUGeeuryM1RIcyKa01HKlhCC9G96pii9thnfupfB0KjsJPXnCrZ44lp3HoZBYDsYhfPbjvWAoRQ2Darg6D/MfZxNO8/2gKI8ODbhVoG/u2LzDjEXCrhPK29OcyRgxv/wzcpHibrMwiK7OIizgGjcHi9XRVi9GkkywL4MIqCiuD47DrZFUWGZlp6uE9uObB0OWX3RdU05mnt29UVth6QWSQ1hrpaRvT2nErojkDYww9loEeuFVtboBYvRIFXYDt2P79KSgorcrarALArXtvQ0qmqjalfjGA/3nB99xWo8XXKOWkyq4zaAxi0plsqb1oKM0wYPQDYODe8xQ18cnrL8arx1MYG8/6J7E0sDCE7SDNvDMxuFWDphfse+FgF3wcaLc1tl/lKuD+v4JRSCBmGeiNGnjbuWfgP7/tHP9zQiZnwzIElNZQi7grACELQa74GWTbK4cbanc5kzlteb7A0PNMyMLUNQHhs88+C6XcXyJOP/10/NEf/VFbyzvttNP8y2+88UZbyyKEEEIIqafbhr1rHR5UNHNQkwHQrNhijlW3UKxnzbJ+P6QSPNCWrQMW++sZDAczebvs4GgjOtVeqDRHrv79Pz2+DS8kX8I/XfJtt0rH7IeGhtSy7m09Xljh33/I/VYHPwy9IoaEGfeDC1HxmjpKVRybdkODVuMMqRQMUVpi5f2FEYIV2zWW+5/bf483AmeIR02BvCP913zsZKbYxrQ8EHHnGHotWRs3Np51H0MLbTMBVKUyXjioQ4Jsy+B+FRAAPzT0ngcFhUeOPoJblt2CAQy0tj4NyqosvnH4G+WzDTvEm7fZDK9adsuqLQ0Fa/GoAUjvPbR0i2ANqf+9ivdrr9Vo5WWgtI+lZAopmQzcpvRv1smi1yhVBytdvrxOnwjgFuiVLzNvS6wdHvBn2SZiFmxHIV9I+NuVd1vv1hqAKTh6I0bgZ9X6RT84eOir4LcC9rLBOuFgWMDbzRr5bwdjwG3vHsHqpW57aretLwANTBcc/6QK7ymfb10BCFnspFJwpPu+v3XnoY4sc9Zbni9A9DwTsnB1TUB4+PBhAO4vG29961vbXl4iUfrgnE430GKJEEIIIaRF3TDs3Z2lFfwGZpz91VBQyABWLL5gQLFiRSBvzxz4LElEcM36lX5bUcEZ4tHOPWeL/vUMvHZTBafpcNDTbnshqVRg9lhjFGTjVUSsevZXK7zwKRE1AemeHe29nJUzDX1eUVGLGZkbTJeW6q1D2LFwzoCIZaA3YlQ90j2HJ/HECwfLvic4Q64g/eB62pZgzG1vaAfCt4gpWnrmct7+28pjDwkHUQwHs3m7bPYng1vhVuv1FRBIiAR2Znfi3lfv9WcPaq3Rb/a7VYPFJ/Te1+5FRpUq/9JOumw7Y2BIGOXBTNpJIyMzflWpd7lflM/IDMrKrN+Ss2wWYKD9bfDxtFsxVxnW1cIYA2fBVpkz7zXerLxg7Vy9+wkur/y/JRoFXUDBLoAXY/Z7996H+867F4wxKEgwMNy57y5kZcbdB1qpsNOlf3p5HA+cuwUAMCDcqkXbKQ92cwUHMctAxOSYLsiy/y7Vamdbtm4B96++v4kV7U4Nt8YG/HCvUGz/XSnYGpsxoDdi4tyl/W50H/gsozXw8sFxvHo8hWMTU25XAMuYd10BCFnsvM8eu8cmQ0/Ea8WstTxfwOh5JmTh6pqAcHx83L88NDTU9vJyudJZsobRNU8jIYQQQk6BxTzs3ava6TFLn6c03GqLrG37B4jdllwcBmdgmjUeFFYcTLUMAcsQuPXda7HncBJj41nkCg6iloHhoV6sPrMPa1cM+IevZ+Og3WJ+PYHS4ey8IxtqKzqTdtoL2Y6CZYiqdfBCocqXtF7MceveW90Kv+LtvMAliMM9cuFVeaWddFXFFwNDn9Hnt35sRMTk0IFjLaXgpLWAx78VK4UxUVPAURpau7OyBGcwOPer/Co5SuGbT7xStQZSaXcWV/EH0WIbUIOXAkKDc38OYUWFLgAAIABJREFUYrP7lre8RsObmSqAvPcPztyTACqVh1olG/qvxEeWfsSvtmJg6DdK1UMcvDgnzr3vL77pi+UtRkOqAL1tJ3idKTmF7xz9Dn6e/LnfynOmOYAKCo8eexQfOfMj6A3M06yl1XA7+JotMZeEXqfZiu3Q+2nr1tpvBWsxC71Gr/947zvvM+g33dmME84ENDSyMhMeIDW6EoGAUOv6wWnBUSg4BffkFQD7jibx3Wf2IF9QQGDu4AVnDeIj7zy/2JYVGE/ncXp/DyImHSVtRkOtsYHiCQPufpzO2WXVnWFiEQOCs1Ir0qL/ePEQHtvxOk6kcuCMuSfywN13ZqsrQCerP6mSlCwm3vzQ/UdTda7ZnI63PF/g6HkmZOHqmmSrr6/0i1QnKv6OHTvmX16yJPyXIkIIIYSQdi3mYe9em02lNHpMd/aXKh5UzTuyrNrIlu5fnDFETIGIIdwDeYEqwZpYxWUNrFk2gHOX1W4JaAj3fkzBOxoOLubXE4BfPaih61ZqhjENjhvfdjaWDsQwFI9AcO5WaEQNSKUbbi+ktYajNCwAjtL+NuBVhtRc9xmknBSSxRaGjDEIVn2QojIgTMpkaBgUFh5opqBZ9bw7juI22MHCEi+UCH4dMQUiDd7eUQqZnB06V/CNVA5LElH/6xVL4njx9XF3fyqGgryNxzM85AZfooH9spGQqvLAfiNuWnoTenjPjNcJhm9eeFi6z+r7qwzrNDQGjUHce/a9mLAnqq5fvFGVZ1PP4rnkc4iJGDIyAw2NhEjgW+d9CwBgMAMmM5FxMrB444E7Ywx9oi90XRtVqz1qZTgKlJ6jRu+r/DnVfjUsBy8LB+svp4VNM3DXfsVj8UyETM490eWbW1/B6X1RnLd8ABeuHPIDQF280bnLBnDbu9fhgf/9InJ26Xk6LR6FBsCLba7TORup6QJ6HIGY2Q/L4KGPLWz3oOq0+ryX0ime6DATBvdkB6D0HjKZzePrP3kZu8Ym/eup4txXU5RXxXa6K8D9q6iSlJAwXneAQ8UW5Z3SdsvzRYaeZ0IWrq4JCE8//XT/8ujoaFvLklLihRde8L9eunRpW8sjhBBCCKllsQ57D7bZTE8XwAVzzzyts0pKa0wXHNhSIWYZ4GCNhYRFXsVQ1HIry5TS8LoKcuYehDUFh2WI4v0BjuPAMkTbB1e11sjZDjTc13PvYe8AIgttG1fPfHo9Pc0cXA1iAPpiJhgYrly7LDSrixii5gyusnXQxcqh4gvrKAV04IRjb5YlEB5oLCRhMwcZWI2qJ1YMFL02pBrZvAOA+QfHg157I42RFQP+9rz6zGKoxACO9kOKVUvd5YkagfhJ+6S/1pVVnqr4p0qNVVLQoRWgMRGD1rpsnmTl/MlOGDAG/Da2Ya+Ntx3y4h+PWxGXrWpjCsAP+fI8jyk5hX9+45/xfPr5uusSF3FsWeW2zRwyG+vIE3wLaOawHmMMXJe/vt76K5RaB3vXBdzH5V8ncMfLIsv87086k8V10WX/esv1XuuqdtcN8uYAZnKOv2zvRJffvnYC6WkbAHBaXxTvecvZePfFK9y7KFY0n3VaArdfewG++vhL/nO3amlfMYhyH8NgbwSOdE+U0BqYLkgIxsC5W/XLeXgUSuFgc2QD1e+Vz+lkNo8v/OsOHEtOVy9PKZhChCbQ870rACGLRa6FE9caWh7lVmXoeSZk4emagPDCCy8E4P5Cu2fPHoyNjWF4eLilZT3xxBPIZt0zGBhjuOyyyzq2noQQQgghnk4Ne9eBv7b+tjTs3T3IyE7JgcNgm81vbv0dPv1Hb27q9o5UyDsSMauBj7Mhv1BGjGIVYs2buCETZwyG4JguOIiaRkutvxypwDmDUhq2dEvYnvxtcG6b9v4HoLkDuU/uLL2ejVbXdVzIXLdGDq4CbstXb/5daV5gKbT1TOclLFPDFLVbXnq8gkHvAHu7Jxx7s9z6jf6yuW5V7URluqotm4IKrxYMBhPFkClplyoUOePoD7SSrBw3yEIuNSM0XGMA0+HL09AoOMoPXrx16Y0YyNnu/DSlNSKGwOHxLNwWiQzQGmtXDGAoHvHn0ejAILXKe6uX8y9JRLB22A39zDrbwVzT0C1X1tXiLY8zXrNl5ZScQla2drZ+VETxx6f/MX46+dOa1X1Bjc4s9EJ69zbe/li6bdJJ+dt95bYOlELMWhIi4e+LXgj87fO+3VBl5mxyq1FR903nRCqHR57eg+f3HsOf/6cLMdAbcZ8fxnD+8gFcdcFyPPXy4fLt3XCrqVGsRnOk9B9ZdR0vIARD1DJariyXSsGWClLqstmcbrtv90SaU/Lfmzki68zODduqvv6Tl0PDwfLlhb/LtdMVoFabX0JIuWiH21M22/K8W9DzTMjC0zUB4bp16zA8PIyxsTForfHlL38Z99/ffAsGrTX++q//GoB78Obiiy/G4OBgp1eXEEIIIaTtYe9hbfNOpnPYfWgSa1cMwpYKnAkUHOlXzs2Fyjab4+nmHxuD+wtj2aG2sONuIeEV4LYwFZz54RTgVp24bSw1bMddPyHctm4RUzTd+subr8gZQ4SJ4uup8buDEzhwMutXjQjOIIqz3koH0sNnn1U6mc5j99gkRoYHYUuNOe0y6oWaIfP86h5cZQy9ESP0IELYsXVHKciCxjQkzBkOfNuOAmPu8r1WRA0fT6jsu9mkRsOTxu4/JOgIPsms4t8mcMb8aqTgzaXSZV+X9gflBtuiFEMEA8uIwWF58wTB8PLr48gVHCR6LBgCcCRw7foV+N5z+wKPqhSKu1W9rOzh65BtCgCuWb8SDAyGYHXDic+++ll84U1fKD6W0kxIL4QtrkXN9qL+e4N2g96ZqkZvG70N03IaMRHzn4dWg6mESOD+1Y39npqVWTxy9BE4XkTUwCbobadKKzDmVkP2it7G5rM1yJsrq3RppmWQ0m5wbnELvSLWdEVu8Pre5QGzdstot7Kv9OTcte8ubDnXrYb0Xn9v23DnB8KfF1ePN1PUXVbpu43YNTaJL/zrDnz2/W/BQG/E3/Bv/INzsPP1k6Hbe0/EhGW6+6SUyn2fK66wYO6sXrOB/aMW21HI2Q4cGb4xSaUBB5iGhNFmCDmfzbgrseoTq5555XBZW9Gq5TWwb87HrgCELAaCM0ilsWKo158B2gnNtDzvBvQ8E7JwdU1ACAAf/OAHcf/990Nrja985Su4/vrrcdVVVzW1jHvvvRfbt2/3v77llls6vZqEEEIIIQBaH/buzT7y/nake5BfKreqY9fYBNYOD8CWym/bmJm2YZkcMcuY9YrCyrap8WjzrbQYKx6A14BigcqXkINwwcoYXbycRdJvQVmFw2916gDQuQR6oyaU0g23/vLmK0ql0Rs1UHAkpgvSff4PTVTPV0RwviKHN0Orkddi/9EURoYH3aq9Dp+1G0qXz/IrHU4vbXsqGP5U8MJBg/Oql0sDeGVsAq8cnMCBExlMFxz0WAbedHoCIysGsXbFABxZe3vN2Q4ipts+1jvwL+pUmjEAhsHddpk8j2k1jV7RG7r2p7K1aHnFa3XA1/ByTOHuO14iV3w9bUc21RYqGKAEg/a8o/D83mO47s1nwRAcGengynXL8avR49j5+nhVKO5uMsWtyAsKGaqCpTXL+rFhZBkAIFpROSyVAmesbHtKq0xVaKv9P8WvZjhor4oVgRozbMxF3nxK5oQHgyY30cN7wmfFVYSJ3vuVgvJbYn5y3yeRkZmq22ZltqHKv7lkOwq2rdBjAlN5Z8YjDr0i1rEKv3rLCf48IzNVwbC/bZRyYdSJidzZgGX3UZop2KhjyWl8/f/9HT7zvkv9+7SEwH+5fDXWn+1WhlVu74Jz92SQDr7feye02P78Q43RI0m8djyNw5NTyNsSEVNg+UAM55yRwJpl/ZASyE7bMOfos8NcmumRmBWdBDSAJ3YeDL+yt7wGn5p50RWAkEVGCAY4pRblnVKv5Xm3oeeZkIWrqwLCv/iLv8CDDz6ITCYDKSVuuOEGfO1rX8OmTZvq3nZ8fByf+tSn8Mgjj4AxBq01zjjjDNx8881zsOaEEEII6UatDHsPHvTMO8pv/Rf02vE0NNwDuSlV8A+SF2wFKW3Eo2ZLrTQb0am2qXNJabciBkBDrb+C8xWTUwVM5R3EIob/2hw4UX2g372f4nxFhyMWMcBDQpIwY8XtQzZSotABgfwZecdtLxmPmsWQqFi15wVPxdsEH0J5OBjcXiVyBYmv/Pglf1aXZ+drJ/Hki4ewJB7BtZesxIZ1y6u2V11svWcIjbwt/fs0OA89zs8YQ9QUsAweaG8KPHL0Udy8dBMGjdoVSbMjkLqGhUxG+/ukIbgfNFYuTQjupdVNCW6fXvXVf7w0hv/j0rNgcLe6sOAo3PLuEXzuX36NY8lpuLuTBGduYBkpBh3ePuLNe/S2/9P6oti0cS0AwDK5v/951U5SavTFyqtt5mh3KL/PQPwYlFd5FFQhPCBkDP2iv/pnGtDMXdaRwhEkneZn0Ppho1alVrZOEv1Gf/V9zfB8NbPleSeAFBwJZ4ZK4mAw2mzIWX7Sh3sfk85kzRajg0Z5x5+4EfdblAbnSFaq1/LWu067dh2awH+8eAjvvngFtAYEB95+/lJkcnbZ9j5blHLn40ZNgR7TPaElZ0usWTaANcvC3wcZQ/H909t3AaD+f68WCsFZzbfDytDOkQon63RCKM19nfn5OaVdAQhZpEzBMQ2JtcPlLc/bMZ9bnp8q9DwTsnB1VUC4ZMkSPPDAA7j55pvBGMP09DRuvfVW/N3f/R3e//73Y9myZWXX/81vfoM9e/Zg69at+MEPfoB0Ou3/0so5xyOPPIJIJHIqHgohhBBCukijVT3e5xSl3coNR4Uf+JwOLE9rIDlVwMNP7camjWvRH7OabqXZjHbbps4k5aTC573p0kHgSdutyLnt5U/M2FKvz0jg7y/4iv+1lBq/2HsMl593Zt3WX8H5ipsf24m737O+7OfThbCJUSWOUsjkisEXq91u0eNvH3MViGg3zJwqOHCkF0DosioywRmCEZ8XPkRNAcHL2/15bR6n8rWfF+/g6slMAd97bh927D9Rtb0CQF/MxFTeqyJ078MQvGpIV8QU6LEEvLqiYFj5bPLneCnzIr51/oPFx+Y+xmAFl4ZuqJqQg4eGH8EwyNvPgnPXOLg/z9C7nziP+6GZu4zmcM5KMztD2qkaxZa7lScUNMpbL62B6bwDW2pYBtBjCUjlBnifff9b8LXHX/Zb8SkNTBckbEehN2q6lYPFhbjPC8Oapf3YdLX7WoviY9Bao+BITOW99zINxzv5gLlbV64g/blu4YKNUpvDwaFYqUqVF/+0qu78Ql0eitWrlgvUSJb9C4SHccGK4Bp331Dg6p0AAuimqlHnl8rKwmql57+6CrXVrep/73gdV1+0AowBPREDgjNETI6eRubstsE7oaU3akBrIFuw/e4FM9/O3XcLUiFmGW4Fb5sh4Um7My3pGJg/m9IzUxAcZqYTJipDu1qftcpvw72Vq2vOuwIQssh5HQuCLc/b1UzL825BzzMhC1dXBYQAcNNNN+H3v/89/uZv/sb/BXvv3r3+XEGP1hpve9vbyr4Onsl633334brrrpvr1SeEEEJIF2pk2Lt3kFJpIJOzZzzI31OxPEcpjB5J+mFWf8xquJVms1ptm9oIDV1sC+h97f4dPDCoit9NyzSSTnPr8MzvxnDZeWfM2Pqrcr7iiVQOsuLgYSMHfFUxMItHDdSrY/G3jzk6sVZrjUzehgpUB0mlYQSeDoNzAOUHVzkDolbFtqxrz4ALqjy4Gra9egepvaq1iFGa4+gdtGcMiEdNGCJwgD/k/hQUTGaiR8SQLLZ5jIs4sjJbXF54q8hKVZVaRQmR8CuYvAPZ3z7v22VrU/Mge3GGYL05j0GG4P7z43UXDay4+492W9zWC7DDVL7/vO+yN6HgSFiGW/3UGzGQnrYxGI/gsx94C7a9cgRP/PYgjidzfqjkheJeSOhVi145sgwMbkjstSN2pPbDwW2vHMZzu4/i//o/L3XXxWsPLJUfNtbSapjjva5eC9CEkZj1/a9TrTjDaGjYSrkz7VSpabDg7kw7g7OyJ6pWZbN3AsjokSTWLBsoW+M+kQCKFZHee4cXgntSTtpvA+0JC14ZWOmkj+JrcNe+u8pC/JlmOc52q+Dg42bFcmpeJzQ7mc5j19gELlg55L+f9sxB286pggNVbD+ezdkomGmgiUzKAZCXpfbA9Swxl7S6qnPCe0+Y6YSJyteyXqDKGfP/m9PIczTXXQEI6QZRy0Bm2saGdcuxY/8JjB5pvirfM1PL825HzzMhC1NX7mFf/OIXsWrVKnz84x9HLpfzP3RX/qIT1uLGNE38/d//PW666aZTsu6EEEII6R6xiAFbKly25gzsOjSBgjPTWeru55apvFO3AmjlafGyr8eLrbFOpHJ4+KnduPOGixtqpdmKRtum9hmJGX/OGENCuGGB9mYQaoQGhAnRmVkY45lC3dZfOdsBA7B971EcmZhCPGoiOVXAknjUX681y/qx5/Bk3fvL5hzkHYWIwWdsNTo81AsAELN4IDkY4k3ZsiwcBFAMQd2KPEDDEAycuYGRJ2J6v3qUvpltIIyqdXDV214/ecPFyNsKplAwOAdj7n7QYxkQ/kw7txSzN2Igq8OfJ0e6VWhSapiGQo/oaehgrhc29Im+hkOcYEDhXR4wq1v5TckpFHSh7HsMbshZcCSG4m4FZS2MMfRYRml+oRcOVqymd1A8YgjYUvmVoY0rvf+cPzyAd1+8Apy5+7tluK9hX8xEriCRdxTeuW45Nqxbht1jk9h/NIWx8SymCw5MQ+Cs0+JYfWYf1q4Y8FfUMty2u4C7zEzO9iufm5ljWhUHt15EuGi4FWQOsnb1dmRL9y/OGKLRQFvPGpViXlDy2vF0VWvKzedu9i974Z4Xkld+v6n1L76AGZmZsSq87H7Cqiih3e8Ht4eq/aS6DWxj3HC7ch5w5TzO146n/YCQscZm0LbDO6GFoRgUtrEvNNIOu1H37L+n4dcyTFzEsWXVFgDua91UINzCCRP1njZ37mvj5rwrACFdwBQclslRsBU2bVyLzY/txIlUrunl1Gp5Tlz0PBOyMHVlQAgAN998MzZu3Ii//du/xXe/+13k8+6BsbAzmLXW4Jzjgx/8ID7/+c9j9erVc726hBBCCOlCgjNwJnDF2qU4b/kAfjl6HD996VDVrBvv80veUQ21ujpvuXvg1juWF5yJN3okiW27jmDDyLK6rTTbUa/9XLC9Zy2VZ/G3cnC5WfuPpnDxWUtghfyiqrX2qy6vOH8pLj9vKQC3as4PaAD8ydvPxQ1vObvufU3lHfyPn+3FiwdOznhwcdVSNwAVs/jLs/cJWWvttj2rYBfnSjIw/7oRy8C01zaUub/gB+UdBauBVnbBg6ucsbJ5jofHs3h+71Fcft5S5G0JI8JhGhxTeQdS2ujrtfzbMsZgCA7mlB93LVTM6tQaiJqx0LBvpoPNddtENqCs9SgY4iJedZ1iNgPT4PiL977ZD9lOZnLFIJW5tZuMuRWocuZwEMHvaSBmGVUVojOvM9AbNVFwFM46PYJP/KcL/3/23jxMjuJOE34jIjPr7OpDEjq6JdCtFjoMGO8YjLgM2CzYeA4znmc8yzVg72ePDfgbz3xmZwce77PjGXMYM4sNPvAcNj7W4wFfAwZscdoDBoGMhEBC6BaSWt3VVV1HZkR8f0RGVmZVVnVVd+ugiVcPTXdVZkRkZGRk5u+N9/0FFq5K6eXbcPrnzrGknzcQWNnfi5X9vU3LZowgaVsBQcyFxGjJDex7Ow06qcUCUVvZZusplNiSgIKiJErIsiwYYZHceRraYrTTXHpxZTVD8+yUE4c+NxZVRDLzVVPh77lQpFbZU9dIbXGtalWYFNILQPYMj01hK8c5Bv+arLdRFVB5F9WcpO231fkZdQsN9wspZSMhM04SwnZyFJLQdjYjsFlzed7uoSIIEOnnIwmdL/Ipfw4N42O/+xTyXmckXdK24FhUzTWh5nexLnxxUbyaMw6jfHRSBCEQWgzQzkmqQ6cLJloVb1GKhC+vb/ecHm1XAAODtwvSjgXOXXSnHdx46dpgkVG7WDq3O7C3Z2HbdoMITD8bGLz18La+yhYuXIivfOUr+Id/+Ac8/vjjeOKJJ7Bz504cOnQI1WoVM2fOxOzZs3HGGWfgggsuQF9f37FusoGBgYGBgcE0BBcCLlfKpbBtIKMElCpSI52wcM7J83DGitl44Dfb8djGPZFYpgRQaSPn06xcEqvm62caFX3a/mY0EPfwhp04a3BOSyvNyaId29TjEXsOF5FKsJaBO0+ICOlQbwVpMdpWrrd0wsKfnbMMN9z3NBiNj3PO6EpgRb8ifG12ZKKJ4cB5sxarnHAiQoQmLArXI/C4hM1oQ9srVQ/1jqP1CAdX/8vS2fjwmYvrLFqVdV9OE9k+qdOVUkGFWC4sZIUnodRpTsgfVQKw2lCcxJFB7RJE4e10IHvEG4mQHH1W/LsHJYrwqFQ5CAgG+3sx2N+riDqfoK5ydYQ5lqsd73jDQ9bIxxyTGHN5hAyOU/WeumgmPnD6SQG5lPFzp4VRfxYsRpBlNcWfDH4EOzRtqssFCKnZ93aKe5fd0/E+AOAQB1krGxzLVNl9tksqy+BnjYCfihZodW0qYYHzxouRgsBiACRDllmKOJEyyDnazIo6P1YNbH9ttyu4PrXae9gdhgQa8sQd9g63ZTkcgQSKohixF23cpD6vYGMdOStGad5EQaj/L6Q6f9oqlUg1b1CZbCiGEJ81azLgCUL38KOgHNPWvhISv9y4p4EgzHud23CPcqLyF8O3d36rElzjLJiov3ezJvdevSgiWuj4OBquABqtnj8ZI7AZNXm/DKYNCFFq7kJZkVfXX7IG6zftxcMbdjYsvgxjRlcCF6ydH9hdasvzo7GQ460I088GBm89vK0JQo2uri5cfPHFuPjii491UwwMDAwMDAzeRnA9gbLrwWuiotK5oAAOlQJKwmEMf/juxVh94gzc8/DLGKuqgKLH5biEEwBcctqJkbxspaqHl3YcimxzaLQyrpXmRMH83GkDfRls2K7qHat4QTDZqra2FtUgBA1B53qCBWgM5AFAkY+h4LW2OG1ZN1SQ95B3KPZ7KWWQBw3QOZqiL7fSic99FwatZJFOWEjaVOX2imEIL1g7HwTKgvNIB/HGa2/FVTnnwoqdTMLGaNlVOcxCUOO1dXnh4ColFB8+czHSjtWg/OJSwuW+Ha7/mcsFimWO7kxzBaziPRsbQQAknca+HPVGkRf5jqxE20FY3RS0h4TbFrJJ1Z8QglTChmMLuFypOoOxHmrarUvaV+3Etk22HqeXvWshUg5DwlYq2VYxHFk7nEjvtUVe+khYDEJIzJ+RwWt7R46aA19VVjHsDQeKv26rO1axNuwNN8lq2QgKCkJIMJ5ajSkpfUtKyECaNQFhVAP0mGpWDgn9otNuEKj8jo7F4LoCbowVtWMxfP+prbj8zCUhgqRWIgFFtGZfZQoKQdpXYUopURRFfGvftzq3kqzDvcvunfC+jVap8WOARH804Ggqx3S+yM27h3G4WB1n6/YgpIQnJGxKpmR8HksQAJIokjybsDFW9QIlYb2g0Iq591pULezSt75O4ttHwxWgnedPeEAJHBYjSDqWsfgzmBagVC1kGKt6qLoC6wbn4qzBORHL87LLkbQZ+vsyWDQnhxX9PcE92rFVTmdDWrWG6WcDg7cWDEFoYGBgYGBgYHCUIaUMXpgARQToF6ZdoRemgdALk5AksHQDIVg+rwef+q9rcMePX0Sp6vk54FpjcKAX710zAKAWrHpmy/7Y3Ibb9uUx2N+rFERTqPZjjABeLQAGqKDi957cGhBAE0P8C2TNSlChyMdw946vgWN8tWUcEhMM4NbnZ9L5rdsBD7aLhlyXzu0OVtkmj6D9TtDKcdorpETZ5UjZFnTPEwJ0Je2GYx3PCrc+uJpJWgE5yJ1G67lRCZAQCSspAAcQqOWxA2pEDoDm57BJjkIBERxHmATK87xSVXVgLymkCCwOD3uHAQDXbLkGhBDcs/SeyKCtt9INg1GqCPwjpMjVhJCaemo6NotRpRhMWrAoxWE+hLE2L6lwWWH1VCv0WX2QUOPG5SJYJHHfo5uxZG4Plvd3I5O0QAnBsPBLsyoYE2PI0HQoM6lCfZ9KNKaaCG9DQAK1W81Kt1GVFhkDcZdLqFoBAeorzpopCfVnOZaL1EdCJFNc3+lt9f9j1XGR7ZsvACB1/wcUAajLDltR6wUg7142G0vmdivCK9Kvssn/Q+3ugPUtiRK+uuereLbwbPs7Hcc4qsoxnxjatq8zleD45QrY00FxRgAioyRhxeOouLzhectiFDO6EhgtuaCE+Asman3QSYD7SLsCTOT50+NAoeSagL3BtAEhBJmEDccSKFc9eByBG0MzGKK8c5h+NjB468AQhJPA0NAQ/v7v/x5/93d/d6ybYmBgYGBgYPAWgRAShbIbWDmtf3kPHtqwC0OFRssVrbDryyRwwTsGsG7lPN/uUZGEC2Zmcd2FK/Gln7zYYGNZj9ndKXzifScD8O3OQFDlHI9u3B27/e4hpbDjbZJY7cJmFCVwrOjvQV82ERz3b157E89uPVCnNmmOTMLC3374nQAAzymAEoLrX7sBRVFQ6is/4l1xOSpejbkoeMUJk4MAMLcn3fDZZ7Z9BqN8NKizWPUa8vQRPx9chFiQwGjFgwydu5zVha+uiuZfjDsFM3NJXHXeCgBqle0RfZHuYAhUXA6bUViU+qSMIgkZpREShrfIPZiyrUiAnIQUU81I1XbVKjnWmihRhVFkWTaWsInd3CcH21WOAVGCUR9TnuenTJk4w54x6TIC9WDcYVkTz7mouC3ily9RzwnVqyXDnxdhKD3kAAAgAElEQVTLLoRURNTak2bgjqvPxFiFg6Km4gn2pMB9+76FK+dcgQxLR9SQDYR9qE0TRZGPo0rusKsooQEpee/yezoaX51C3VZaXFt154P48qpM0kKh7AWWo3oByOlLTgjsMuNKbXYs0v/XLlI0hevmXYffbvltRwR9gRdQFEVkaKbtfYBGpaCEIpH0edIWo/lSNVBISyilfrHsjTtPHQ3lmIZ+Ztg1NHE1fatypwVCJCGkUjA7FoVTNw4IgItPORH//KstYDF22p3gSLoCTOj5M5vAhWvV82fVFeDcRTZpg1JDEhq89WEzCjvl+Fa7yo2Ba1t9ohZrMEZhHwWXjukM088GBsc/DEE4AYyMjOCLX/wi7rzzThQKBUMQGhgYGBgYGLQFKWvBmZGxattJ24eKFdz/xGt4busBXH3+ILpSviKLECyb14NzV/Xjgf98o+n+gwO9+MT7TkZPJqE+8IO9D/xme9NcEOUjlAuJUQqLEXgcuHDtAO5/cmvwnfD7p12EKBZIAAVRQEEodZkm61wIFL32yxwPJ53g55oKfTbKR6MEoecG9m1hlMCQsmsWmQAgLaBYcZvafAF+2qrQ10vnduOq81agO63y7E1cddkpFB00LzE3yLnVbLuMRUF9UlDnCVS/qeugJAW4EBEiTquiHIui6nFVX6ij6wmM6zZ+CnlPnW/GVP473UopJeAmce+qL4MQBGq9f1j0D01bHQ7+U9AG8msy9oWTgSa2iiU3GPNHIz9UTT0YHrEICD3XEzVFrY/PbPXJ8sgBxBFCNWvJclX457sGxgjmpHpx29Jb1Va+s6ZjMVRcDkLUsVNCQJMExdh5Q+KJkcfx1MhTyLJMcBS6vkzCgmXRQCGpFdpVT6LqcXQl7WD8ZVkWty2+LSi52+rGiDcSjKthbxhVWWfTGHXPPK7BuUDZ5eBCglECi9IgB25T+1HltIxM0gosR21GUYZSIFU9DtdW1+fhOotlTeYNe8ORzydC0GZoBhmWwShvVBY3g4DAP+7+P/h/+v97xyRhGK0NWhVKVQ/3P/kauNSKrXgS/Gjkk41DuY3cxZ3gLTDcOwOJXspERgPY+v68bnAunt16oK1numbQrgAEU+8KIKVUCyw6ff4sVHD/k1vx3LaDwXNHoeyqXJNGSWgwTXCk3RgMFEw/GxgcvzAEYQcYHR3F7bffjttvvx35fL5h5amBgYGBgYGBQSuMVb2AHLz1wQ04mC+3vS8hBK/uHcGtD7yAGz/wDuTSdvDdB08/Cc9s2Y89h8ci+8zKJXHJaScGtqK6HALglT3DeGzjnqb1TTQXUs2CUQXNPK6C8dp2i1FlHVMouVi3ch6e23ZwUgE1xghETB4tHfS3KAElpK38jOOhL+tg6dzu8dtECeJirs3UddmkjYonUKl68eURAgGJGV1JXPiO+YGtKKME2eTRCdIRAvTaKnj9jdX/p929mrt4xoWRLYKxCvfri+5ZienQvDeKEU/Z49mgEFy/2iiCkHAXEgLHPBPWJIdekGtR1HrtaOaHashT5//CHKuB0MnzUYx6dQRhTAdEyrQAwiQqnoDHBVxPAB4gaovLVSkSqLocxYqHTNJGseIh61uc2lbzYJMAR55rG0UCMIBDYO+Yi1xKkey6lWrhBUBsoCCi83NDftN2FWsdDj+tQlO76n6i/lhuLLrV9a8JzHoESj2/j8eqHgghSCdYpLnq/Db3gKVEza8uV9cno1SpCKHuIVO3NGPq8ejwo/jV8K+QZdnI583sWwkIuiy1MIISle9USiAh07hz+e0AAFZVZX3uO79BvlgF9xe9SF/1ajG1QEaPNRJaBHE088nqYyMAejIOhguVhhx5xD+34+UhjSt3WoI0zoGo+/uq81bg1gc34MBIGQ266HGslGfmkvjE+1chl7aDvp9qZFM2hAQqnKNXLxirg4z+8EGwZe8Ibn1wA268dC260w7Gqh4yCTu2DAMDAwMDA4O3FgxB2AaKxSLuvPNO3HrrrTh8+PCkrGcMDAwMDAwM3p5wPRHkfPnGo5s7Igc1CCE4kK/gG49swqcvXQsASNkMSZvhynOX49+ffQMpm2H+zCyWzevBqvl9QdBPW+gRADsOFnDPwy+3DPqNlwuJ+7nAOJcBcUGgktIzWlP32IzCYhTlquevOlcBeaUSE0FAbSL9QQmQdiyM6Bh4PUMItdo/YTOUmpBvneDsk/tVwJ60DsozRhHLEAKK3EhYEZIQABIWRcJykIZVIzd9q7KLT12AE2d1YcVAT0AYHM1cQBOvQo+L9gogUAQFC1mXSV99VvFaq1zC+xAoa9ySV1Q56FgmUAc2C3bTUI65MEFzRNBhf3pcwBMS9/1yM4aLLpLOcZwfyj9fnlAWUp6QkNp+kioLKYuSmiLWD5pTQpCyGYRFIRNQc6WUjQsyCcHGnUMY7O9FLu2gVOVIORYYJSi7HB4XEJYqvOIKeFLCiqix1HcWo8gmbYxVPXQlbd0UlRu0tllHx922z+146KCMiVQ5xsdgw47s35WyAR4/7jWRGOccyfxzabMaQauVT47FAH/avfE1X1lK1GQ94irCttuOWv6OeCON79p1B5izcrh36b1tHGlzEP+fgAjIY714puk+hEC7U4cJQjAgTB9LSBzMlzEyFlWUulz9oARI2hYcmwZ9u2xez1HJJxtGJmUDErj2vStRdTlyfh5JrfbsStoAdyAhUaryBpVvM7Dpbj1JovdE4ksIKSXIpR3ceOlafP2RTXULn6JWyvVztHYFmNGV8Efm1CJ8TRECzOxK4pr3rsDrb47gQL7SsE1MCYAEDoyU8I1HNuH6S9ei6go4ljgiC1Pqny81joZy3sDAwGAiMPOWwVsd05ogdF0Xjz76KB599FHs3LkTQ0NDSCaTWLRoEc455xxcfPHFsKzmXVCpVHDXXXfhC1/4Ag4dOhQ8NAV5UKTEkiVLjsqxGBgYGBgYGLy1UXZVpHT9y3smpZgjBHh1Xx6Pv7wHZ62cB08IZBI2zlgxByvn9zXdR4ecXtkzjHsefhmlautgX7NcSK4nUHa9iCVmJKwkVKS8JH0Fgq/gY5TAExLlqoeUYyHpMHhCotsPqLVrdxW0b3YXMkm75Sp7TbQlLAaXK3XSRMEYwRnLZgfltqqvlWpRShkhCYFQTkK/Hh2o1sTF+05ZEATyj7RarBXq7QCnGr1Mjd9aoN0nm7jEeO/UVt0GXEhwcHxz7324au6VSLN0pOyjjglGfCXUeJEANu44HFjwvvD6QQBQqtJjnB8qPMyrnsBo2YUI5S9UvIoMESSKtHcshnqBmr5uEjZFF7PVNVV3Ha09cQa+9otN+MTFq1F1OaqeIhOTjqWsff3Xu4rLUfBcUAIkHAsJKzxGJBilSDmqvjA5FBKQTaAzQr9PoAwpgWK5tphB+AVev+mvsbe6N9gmjEzCiswbaj811yk1Z9QiloLg24Pf9ptIOlgAEJ3zg/6q299mVM19/j1ASolRPoo8HwU0QcjVXF8/Tkd4HUE4RcNY5X6tvcd327kJXSP1NsOE6P9U33enFcl2+xXvxjcefQVPbN7XUIaQSrFZ5QSZhI1Z3Ucxn2y47dALUQiqLaSeBAQph8H1eFvz59HInzgR5FiuIYfkRBG22NbjNZ2wUKx4yKVtXH/JGjy6cTd+8twOHBwtqwCxb69em9MIZuYSuGDt/MBWVF+PQ97QlLSzGXqtPmQSNm76o9Pwo19vx2MvqVzUEoDHJbgQauGXP3+H279l7wjW+8+f5aoH2yeWpwJxz5dhHE3lvIGBgUE7MPOWwXTBtCUIv/vd7+Kzn/0sdu7cGfv9l770JZx44om4++67cdFFFzV8/2//9m+4/vrrsXPnzlhicOnSpfjc5z6HP/3TPz1yB2FgYGBgYGAwLcCFgMeVpdtDG3ZNSZkPv7gLZ62cC4+r3H2U1FR5QM0mTYdAq5zj33+zHb/cuGfcIF84F5IOqkspVVDT1XmUJDbvHsbWfXnsPlRA2eVI2hZOXTwTy+b2YG5vOqIkEFIik7BwMF+GRauY3ZNGxg+odacdXH/JGqzftBcPb9jZNC+ibtsFa+fj7MG541twBd6ESmlYqKj8O51CKxULJRe2TZsrtNpULepclAlf/anPUrOW2RYNVJedrj6NW9EaKD3bWNF6NJ0zJCTGKh6qnoiQq1wI0BZtpAQRlZgE4Ak1Th8feQJP5Z9GxicIxyocXDQSxV2sC/esuhOAsgmkALrS0cBn1g8KN+RflIqQ6cSIL2flxt9IF++TbWNVD2WXRwLNh0bL+M4TxyY/lJQyIKu0ZWLZ9YJz14xoE1KiVPXgcuHnz4za72lSKfg9WiuSjoWkY+GRF3fhvNX9gFRa3IRNUapLA6jqA0oVD66nCJlat8hgjjoiPTVBRWF0HKnfC7wQ2OkCUZKwQhmSYLEE4TAfCcrQu+Robew1GyIel/CEmjcklBWm44iAMNBqqFLVQyphxTouBodPxvFWbIYpPin6TB8N6jzlWLji3OV46pX9Te2tPS4xMCODv7h4NXJpB3SC+WQPuYcm21xIB5CkJ/oZEZBEgEjqE1eh6xLxKnpCAHsS15Q+O1mWRZEX27fxbQO3Lr51ysoKQ18TLheROfHcVf045+R+bNw5hC17hrHzYAEVl6Mr7eCkWV1YPDsXcQVQzxat3QmmEoQAXUkHHz5jMdacOAN3/vQlDBerseNVGSLUFnc8tEE9f7pc3Z8nq4pp9ny5bV8eu4aK/vPlcaycNzAweNvBzFsG0w3TkiC85ZZbcPPNNzcENMIEHwBs374dl1xyCf7lX/4Fl19+OQClGvzYxz6Gf/qnf4olBpctW4abbroJf/Inf9IyUGFgYGBgYGBgoOH6yrXNu4cxVGhOfnWCQ6MVbN49jMH+XnhCIGExpBwLHo9KAUpVD89s2Y9HN+5uSbyFoXMhZX2SQQhFaGmCaf3Le/DQhl04NKpsQXuzSZx98ly8Z8UcpPwA51jFQ9JhSPi5wSghsKiyLq14HMPFCnJpB9mkhXJVqYDWDc7FWYNzghes3aEXrP7QC1YQ4m0j7kwASKJUM9mEshTsVEmolYqsjQBuJ6rFisvhesJXU9HA9i5cGAH8l8jOAodxK1ptRpFKsIYQufAJlvrym5GDN752o1IDtUC5ykEI8XNZKsqDhp6pJQDPk3CQxt0r7wAAjIy5ACS6knaEXKaEIOnUcqPp9uf8fGBJx4LDat+qM+CigKKqDwIFXlAkG3eD67EeYaVV3JHfs+yrfnui7wDN8rxNDZSiREo1j5RdjnCgVhH4Elv2DB/1/FBjVQ8p21JqwQ6JZCnVGB0VbqCU1RbIcWRTbUf1wby+NP79P7fj3FX9IRtlRaI3Myv2uMRoWdUXsV5uLH7qMOUFKuj2S+mvTm9SCUWNYK2RdrVtw4QMAFQ9iYrrgUnfOTNUbEKmIaEIkIrHkbAYqp4AF66fCzXcPl0bgnOqeEKKDMsECqp6sl3I8Yn2HMs1zGG6/RS0JbE02VMRlCtjPgMAor5ghCCTsNCVshusRgGVH/jSd9byAzOqtj9W6KRfHIsh5TTeR3RBJPR7p9A2z7ctug1FXsR9++/DE/knOi/oKEJIiVLFw6Zdh7FkTjRHMSHA6gV9WL2g0d1B328tRpC0LdhWY2zpM9uUNW9LaOvSYLGGWgzEuQSXNfv3XjuHO1fcrk6Lvw8XEtmkjVUL+nDjpWvxv/7vbzHWwo5dL+5440ABm3YNY3CgF1VPIGmTCQe6mz1fxj0rb9iuyPC+bOKYK+cNDAzevjDzlsF0xLQjCH/2s5/hb//2bwFEgxwy9OIa/pxzjquvvhpnnHEGTjjhBFx00UV4/PHHI/kupJRYvnw5brrpJnzkIx8xxKCBgYGBgYFBR+A+SbNtX36cLTvDtn15DPb3qvItpQorVlzsGRrDjoMFbH9zFC/tOBSoCtvB0rndWDc4F46lc4XVXoJGxqqBFaheNX/Oyf344LtOarBLEVKpwUpVD4xS36KKwGIUCYtBShXEshhByrFgWwIVl8PjwGB/Lwb7e5u2UQfUGoL7sqasCdRLRMVswyRhxeOouLypsgOoWcYRQgJiK5NsQ5XVoWpRB9zKLoHNCBK2iAT09Tb1FprN0GxF6+v78njfqQugw4XqXBBVrqzZeYaJwma0w6gojB+09FOShZ1sA12JDiJTBLkqAaDHV+zd8senRzVUUoIQoCedUH8TRSjds+pOSMgGJakmIIveGL6575t4pvBUEEBllDRLD3lcgkCNO20tqhGo8DyKdMICJX5+qEc34/pL1hzR/FCAIvdcVyBlK6IQbPx9wkFsDSEkihUVJFHnzbe8rL/OSI3gklLipBNyOJAvY+POoUjwfTwlS7i+2PaFfu8oZKPnmg72omihRo4UrAiwbiuHglcER20ANyM6NeKUql2sKyC5NSFz+5LbOyK6xyqeInhLVXSllGo1m7IjiwDqcVbuPfhvc/4bMiwT1EUJjfRZO4oxCopuK0rEfGnxlwJisSRK+Nf9/4qNYxubng8C0mAXOlGEywkWL2TUXHbvx9fhJ8/twHPbDiLlMCyIyQ8MAI4/D+p74kTQFplUD/+emWVZ3Lb4NqjlFM3PAQHaIwenAGmWxhWzr8BT+ac6VhIWeRFjfAxplgYjLBjnU2ExGuSxlWoeLpRdjJZc3PL95/DetQO4/IwlcGLIvnqoud23Gm/ScaN8tPU5rSMHWz3beFrhiBrB73rKSjSTsLBqQR8+84G1+Pz/fS4232ikLCHw8q7DGBzojeSg7hTNni/Hw1ChgvufPDbKeQMDg7c3zLxlMF0x7QjCv/iLvwAQVf3NnDkTp59+Onp7e5HP5/Hb3/4We/bsCbYplUr4whe+AEop1q9frwJCvoXGkiVLcPPNN+OP//iPzUVrYGBgYGBgMCHoFYa7hopTWu5uvzy9SlwIla/tn9dvwcF8Mx1Nc8zMqVxIhEDZxhFFOOqXoFsf3BCUm3IorrvwZCyd292yTClVYIoL/RylcjAkLIZy1VMqKJvBohR2UuWucrkE5wLcz2MFohQZjFHYlIBQElotH64MDZ9rolCThJBK3edYFJ7w6wkFuFQyeYqsHbJ+Ic0t1eIwEdWilBJVT6IML1iopmN8rM3Vpa1WtGaTNi4+7URlHej4RLVQ/7U6NgISBFeDtkIESpn4g4na0WkU/NyLNKJgii2g6Tf1bYvbTNeasdK4et5V+M2WZ8D9ADNjFGGGUAdXZd1AkiCBtaI+/mF3RBGVdf0x7A1DQk5KSVgURRR5ETmW0wcXwKIUmYSNuGHgCaHImaT6fsueEazftBfrBueC8yhBGGc3C6iFBZZP3lPaGPqPGxs6p2rV42qBwjgEYSuBocclKp4I1JDBtjGMnWMzVFyOWV1JAMCWPcMRgtAKzQ3t1Retg5CJif5sYqPX6u2IINSIEEwEyIaUn/pauX3wf0NAoMjHcPeOr+GxofW1fTquMQpNunYKTwj848834uMXrUJ32kGp6jVVWFNQXDHniiAXKAiQIAmkWTpy/O3a9NaTe2HCsAc9uHH+jRjxRtBtdceWqc/TVFhYtiqjK+ng8jMW46J3zG9ZRtnlYIygUPbQnbYnZNk4LpnUBIFNMBlfCawWzihyNW2l2q4jTdO1PvfnyRFvpOn5FlKAEII0SyPDMh0fl4DAffvvwxWzr0CGZTratxWC/vH/V6x4GC25uO+Xr8ATEj9/fiee23oA7z9lAdatnBs4KoQRXoBTdjkyCYKqK2CxDvNPhshB4S8Mqn/OiCgLQ11dqvKA4M+mHBQrHrJJC+9cMguXnHYSHnh2+7jV7zgwCimlWgAlVb7UcW3f6zBW9WKfL9vFq3tHjrpy3sDA4O0NM28ZTFdMK4Lwl7/8JbZu3RoEJLLZLO666y589KMfbXixfeCBB3DdddfhzTffBAB8+9vfxtjYGAD14JfJZHDLLbfgk5/8JCxrWnWTgYGBgYGBwTFCeYqlS0F5smbh1p12cOOla9te0aixdG53sKIx5Sh1nuuJQIn2jUc3By9BSZvi05eswfyZ2YbAv5QIcu68caCActVD0rGw8IQurBzoxYoBlYPB4x4YJRircoAo9Rwk8dWGAGxWV64MkTkSVU+AUaJyO5JQjjbhgTGlfiSSRIL9gS0fACIJbEpgNwnEhgP9nQa9JqpapEQpI8P1tWstOtEVrUCNIAjnMIt85xNlnUCrvTQqnoDrCVQoD4Kmwv8X1EXU79wpxgaOD/MowS4gakHS2DZQZEIBZglFIGnb3GaQ/kArVThSiTakcT4mqk4p8iK+te9byFm5iLorDJtRnLuqHz/6zfaG77RaN5u0AEg8/vIevP+U+bAohZRq0UC93SwQ6jchUQVAfPI+aVuBiknb5wlf2ZT0LUVVWbKtOa0d7qlS9ZCwojkfy65oIOtSDoPr8aB9Ow4WIvtQSqAFdtqCNg5EEnQxq+1rO2yFqckpBgYPiiid48zpmMTQ11SDXSZt3u4MS+PjC67B+qEnAyVh3AICImmDCFOfhgbFmwRoJdMmNVfDWMXDjoNFfOORzbj+UqVaTVgy0h59bLPsWQFRw6VqdxVVuJ7bWPAkoYnacP8SEIjQEerzORUEYUDqo0Zw6kUDvawvmFeb9W/VE/juk6/hnYtnYeX8PrieAHOOnmNRsIgGAGIWdtTjPd3vwZVhsretOmoLLfR5qVeBhqH7cYyPtV1HPZ7IP4Gn8k9htjMbty26DQDQZzdafXYCCaBYduFxiV/9bg/+9YlXUSx7kfv6gXwZ//SrLfjuk6/hlEWzsGRODgtPyGFmVxIWI/CExHCxgp0HC3j9zQIGB3pw5vI5sJiAnXKaVx7TlrCKMdyG8eZcfV/QBH8u7aBU5Ug7Fq48bzl+/eo+7B9pHfQu+XO/rlcGCUrbQ7Pny05xMF8+asp5AwODtzfMvGUwnTGtmK+f/OQnANTDCWMMDz74IM4+++zYbT/wgQ9g6dKlOP3001EqlTAyMhIERk466ST8+Mc/xuDg4NFsvoGBgYGBgcE0R9Jun2zoqDyfRKJQweLutIPrL1mD9Zv24uENO1vmHpzRlcAFa+dj3eBcwN/fsZT1XdlVwdv1L+8JyCZCgOsuPBnzZ3Y1BBIffnEXfvzsGzgQ88L07NYDSDkM83rTuPAd87Fu5Tyl3JMS5aoHJ+XAEwIMpEE9oYNZnlDqp1/+bjfWv7wXf/37p6oNHBXcTFgUrmD+PgCIr8TzyyE+2xByAW2KSRtHTEC1aFECh0XVRO2qFieyovVjv/sU8l6N1CCUIOv4ykm/n9I0g9sX3w5CasqPUW8UI1yNB00uUkLR7dsZxrW54nIQoojCDmKgk0KDSyVR4yJhM5Qq8XmWNK1AALhCwB0T4I4ioT728qeQSVi4fcltIL7CEAA+vfXTKPBCbHntoFXOtDAue9dCPLl5X+z15QmBiifQnbbx0bOXAVBB9lKFBxbD2m526748dh8qoOxyJGyGeb0ZLJnbjcGBHrgccLmLhEX9vI9K7TtadoMcWS5XVMtre0awdF5PQ1vCaIcc1Ko9T0ilAPRBfYvj8HgiIEjYFoSsBLZM+nyFtwGUBa0+7jh0TPz7yFk5UFD0WD0Y8oYAwLdnnHrU8mIKaG1jhqWRtTIY8ZQSmDEaIVJlsGUjpsoPZ6zi4Z9/tQVCShwqlPFmvoQlc3IN174mhT6/8PMBIXTYOzxFrYiH7jMuOYa94RAxVcMXF3/xiLahHZSqHta/vBc/e34HDuTL6E47WDm/D954/o7tosXiCaDOhjv0Wat9GGgDOdiOcpoS2nAdjvCRhmcIAhKMEwLSoDDtFCLIPzv5PtVqOZer55Yf/HobRkvNCe6KJ/DMlv14Zsv+hu8sSv0FHcAbB/I4Y/lscI6G+a55YxCcqLGqFyLpOjgeAG8cKOBrj2zCDZeuRdVTQeqExfDf37cK//O7z7bcP+U/f4br5kK0rX7VKvTw8+VE8eremnK+XPU6IloNDAwM2oWZtwymM6YVQfjCCy8AUEGJD3zgA03JQY3BwUFce+21uOOOO4IHsVQqhYceegiLFy8+4u01MDAwMDAweHuAUZVbaKAvEyQrnwr09ylFBvOfYwgh6ErZQQ66dYNzcdbgHGzePYxt+/LYPVRE2eVI2gz9fRksmpPDiv6eIKDu2BRpnyDiQih1HiQe2rArqPPcVf1YNq8H4TDicLGCL/90IzbtHm7Z3orLcahQwXeeeA3Pbj2Aa84fRFfKBhcSrm+HyIVEeBGllBKjpUZl3IKZGSQdRboNc9V+RimojFHThP/QkfN4d8omO00QdWTkeKrF+nrbJQcnuqI1740GJINGgdPA6kYTahIikpNI1OepIvEkjHb18ETUuq5eaBC2nAOAT2+5HsPuaGCdS6DGeNLxA5KoEZU1VZCypsxZOdy77J5IO2TdLwmLwvVIRFF3Vu+70Wura4HUWU8e1kJdq4yiUMeq/xEQFHgbORljEA58U1Bl0RaTz0yTsDajeP8pC/BPv9oSW57rcXzswndg/swuuFygVFVWogQ1u1m1WEAdd8UTqLocqYQFixL0ZRMBeV/xBDwhkbCU7e+bw2OQAAZmZCCEatXrB0axZF5P00tlvFi1Y1FlZayPt07BmrRq+SkDt1+iVIQnzsriq9etg81okE+QEDVOemm9Ja5E0RtDVVb9fm3/2orDVOWum1jdasGDVsARQpQdMkhAtJYqHlw/rxilJFAaVT0B2yLI0mxQ3shYFUJK3PCtpxvyXLZCsezBYsCl7zwJl71rIRKWyiXIhYTHRVuLYT6zVeXMmyoV362Lb53w/pOxBw5j2BuOKEI9IUAJwchYFVVP4OBoGa+/mcdr+/J4ftsBVEL5gd/w1bCt1M1tIWQ9Oc5mAEJEYTP43zFK0G3lAnKwkz4TUmDYG274LA6aQNZK0DRLBwtSjiUk1OIIQOKlHUMTVo4AtQUdCS+CF0MAACAASURBVIviYL6MzbuHsbJF3uW4tgAql6C2FZ2ASzA8IfHc1gNY//IerFs5D2WXI5ugOG3RLPT3pbF7qLmCc/7MbFCvp24KEAJoRwTT7PlyMnh4w06cNTgHHu+MqDQwMDBoB2beMpjumFYE4auvvhr8/vu///tt7fMHf/AHuOOOOwCoF6wrr7zSkIMGBgYGBgYGUwrGCOABi+bkxt+4A+jyWER1RpBJ2HAsgXLVg8eBwf5eDLYIPlmMIOlYEXsT1w86bd49jKGCUiDO6Ergg6efBKAWjBouVnDz957D/pHSuO0VUuUjtBhVORgeeAE3XLoWubSDssthM9pgl1evjDs0WsZ5q/tx2btOQsKKBqG7WLZpvqkIH9AGNxC2FJw02lUtYmLKxalc0epxgarH4VgsaGxcPsF6rUnz7iXgnDd8J2MkToGtHIqo0GhgkkPC5dG8YSN8xCcIZevgqJS+yqFWYSZhY7TsQggJBoYrBz7asY3qVKhS2qrHzy8FAOtWzsV3n3wNFVdEaicALlg7gGXzugFIVHzCOF9nN0t8NqDqW96mHUUOSiBC3l993grk0k4QfJ7VnfKJ/BrZu21/Hi0z9o3TPWFysFME+TlZvL1m5G8AWZZFvuQik7Bg+QEYTajpbcLlCikbyMmGNkCi1+r19yfBZ0Dr/GqdYNgbRkVU4FAnYtN4z6o7fYK6kezUip56wrWemFeKH7Vtoey2VEPVI+1YuPEDa7ByvrJs5FJi1Lc4pqip2zXZoyyio/2hc+bp6znP8xPKhQio+VoTToe9w01J3F6rFxK13I667sPe4QnXHYaExJgYQ4qq/HyFsgspgf/3n58Zl4DVquYJt0L641fW2jKeYl3bcLc6dD1kMgkbKTa1LghvFUg/H7JyPVC5TyeLisuVWwOAbfvyWNnf22o2DTUGPgksUfFtPiczdIUEfvTr17Fu5VwVpJYSjBD82dnL8b//7fmm+y3z1eOEqLyuhPjkdhuLA+KeLyeLQ6MVbN49jMH+XrhctkVUGhgYGLQLM28ZTHdMK4JwZKQWEDn55JPb2mflypWRv9/3vvdNaZsMDAwMDAwMDGxGUQLHiv4e9GUTU/JiMaMrgRX9PX75jSElm1HYKQdcCLjcDxL6QS74ShvGKGzWaOkJANxXV23bV1OYnb96ABajCIcwv/zTjW2Rgxoel9C83oF8GV/7xSbc8IG18LiAJ4RfvkK9Mq5YdvEXF6/G8iaqpVuXTFxBclQwnmpxAjgSK1p14DIUa47SgUEUur2j4XWKmHb2bCRlmrE049MwVU+i7HEk7dqrDyFAV9JGseIiQzJIMxXQ1yqXsNVdUBURIGHiwQ/SjngjHStcKGhD+aNeAV2spu6SEhgtuwFJBwApx8IpC2fh6ZBtHSHArFwSl5+5JGQrqJS3tz7wAg76FsO637Ua0U6xWj/7/Sgl8MLrh/C3330Wf/Ph09CTSQT19GYSKFZcaOHlWNWLJXrbAQlfC0S3OHouw8oy4ZNhOreblIBMSJRAUB4nDWIv6wMBQTZhReY6HVQP5yYFankXM74ysVkOzla5OWXD0UwMY3wM33nzO7h67tWx39eTgy1JroamTqx9acfC5/7wVCw6oQthcp5zARB1z3jH4lkdlyul7FhNWE/M6nIkkZHjrZU71TNwFEVexP1v3h97vjRBSwlBJtkYhunrSoAAHetTdR9kWC0n8OFKHmOuG5vz1uXqByUECZuphTbtDIV6L18ff/7qnyNfp0SPa2PjfDfacI10W924p04BfjwgMsbRmPt0ItC5XG1GsGuoOP4Oui3+/z0hW+Y07gR7h0v43c7DOHl+HzwuwCyGUxbORMKiEZWrxqxcEqvm63yOJFCqixYDifsqQ0L83NEAtu7LB/eQqbgyt+3LY7C/V52nKbb0NzAweHsj7r14KmDmLYPjBdOKIBwdrVn7dHc3T3odRk+PCqxpv/dFixYdkbYZGBgYGBgYvH3BKIXFCDwOXLh2APc/uXXSZV6wdj4ICKwmBF+4bkbR8UuHJnV04CphUfyXpScAqAXLHn5x17i2os3K1Xh1Xx6/eHEX3rtmABWXK3WPHykKK+N2HSrgU/91DRbMzPr2aXWkk++pVq+qQr16cJrhSKxoFb4tqMoH1xjw00QSgQ7Ct+5g2eT35lDSrvHOm2iDHASUDVslUKjWCG5CgGzSRkJOXMk2FdBqpy4r2/AdFwKbdh+OKIAXz8nh6S37I11/8akLYPu56DS+/sgmHMiXAxJJhixbw8SSXjcgpVI8CSmxP1/CXT//HW76g1OD7QhRuTS1mjEgXGOC1FOvraxjIv2hWT9GZMyYyJeqSCcsjJXcCP2UsBhsmwaKQo2yy/2Mfz4BKEl0XvHr1HaSX3jjC/irE/8KgMp7BwDXbrm2Y9tZXV+XpdTLFBRFXkSGZQLCSasjE14XUglLqRxDwfWxioeKp9qQciwkbOaTwrU+0yhWXLhEoFRRZBElZFzCgRLg+kvXYOEJXeoyDW3+yEu78djG3bAYxR2LogThDVtvwG1LVJ5GTWIK/5+GgGibVK0nZsN/U6LsTsN5QgkIht2R4LNuW6nvD7tK4XjNK9cgz/PjshS6HgKtvJOR7yzKIuerHmcun4Mrzl2OdKIxDJNymLqmOpyMtKr09sW3qR6UEkU+hrt3fA2PDa1vup+QEqWqB5cLZFPjE8vNFO55Lz/uAgkCAkqi19kIb1TZxhHuGZqZlKJ/KtwA9OWjH19K1fgctp2CCwGbMZSr2scabZ9/Pglr0Ths3qUIQv2MlrAZTlk0qyGHYsJmuPaClUj71tSURu8l9XA9gbLrweNS5Y1FzUZ396EC9KqWYDHSJB7YdvvPq3yqOsXAwMDAR/178VTBzFsGxwumFUEoRO0Fg7Vpf1H/AJLJZKa0TQZHDq+//jpeeOEF7NmzB4VCAXPnzsWJJ56IM844A7ZtH+vmGRgYGBgYRJB0LBRKLtatnIfnth2clBXk0rndWDc4Nyj3SKLsW1itWjADKccKAnpSAj9+9o2Oy4sLAP/4uTfw3jUDcLlaEU/h567zlXEPv7gL116wMiAHNQkgpUSVC9BqtmarF1Mn9fPXhS1JCZlcIKrFAbYMcbfBp3WEI7WilXMBi4aepwlpiP7J0A8Z15e1DRrUWnEQUqkQXE/AlUIFHzs8R/Vbh4P4xYqHTMJqsLF1LOKPhdrn/+P1v8EtJ90CkFqurKJXxOzE7IYgNvX/ddTODo5rq7+6WGPh7FxkHCVshrP8+UDjsY17sGWvT4hICeHb41msRnaFwrogUP0TJog27TockPeACuo6NsWYSuWHgRkZf+8YTCDOofJhhpVgtb4fdkdACHD91htQ4AUI3+7UsfRRKPZrtOwBUiJndeErJ38JAGAxRQIKv3THokjYTOUsjTkNaT2ntqFqkZDY7+0PiC49v+V5I2nSKvav96OoLZCIG1N62GRT8e86qYSFVEz7SbibfGQStq8m9XD3tWdhrOLhvsdewROb9zU7XFz0jvk4eb4ai2Gb6bt+thGv7s0jk7QwuzvVsN+oV5gSC8+JQJOFihRU46ReeTgqRpEX7c+hen9RRxDW578MgxLSlBwEECz0mcztQfdxhqXx8QXXYP3Qk+BoLbH1uECh6jWMzxzL+e2ujcMsy8aSs+PZM08kb6cu8/MnfX5K8lROCnX+vKkpeu7SAWedX7fdky/RuNhqslA5MGVA3jFKsGROLiAIZ+WSuPjUBTh/9QBmdiUj+2rr+IjA3rfG1i4Q2hKVEBLkJT5crKLs8mARnVa4T3Rhl35ePQIrVAwMDAwAhOaZqS7PzFsGxxjTiiA0eHvgBz/4AW677TY8/fTTsd/39fXh8ssvxy233IKZM2ce5dYZGBgYGBjEw2YUjk1RdQWuOm8Fbn1wAw7myx2XMzOXxFXnrQAAODaN5A08EtC5pBbO9lfh+y8wG3cO4cAE2h8XSDyQL+PlXTV7KyukhNq8exhrT5qJ5fN6ImTPcLGCB/5zO967ZqBpwFVDSImxioeqJ5DxVTdacThlJKEmBsd5wYuQM1NQ9ZFa0dpp8DEu+K+D74wSuEBbxyuh1BkFT+XryiZtWL6FbltkYQNDGLUeLJRdZBK1MpvtWhSFwPoSABzi4N7l9yLDMoFiR+dX67K6JnQu64Pm9USjlMq+cdeh6LldOCuLPz17KRaekMOsXBK5lIOZuSSEUMpPjwv88ne7a+VAka4l1wtsBfV1rc9bxVMWv/X48XNv4PzVAyBErW62oPKEciGxeIpzqqrlADUrSCmj6jIKggIvoMBHFTFDgEoQp1F5FUtuo7In7ShVVjZpg/qKFyFkQA4OeUNttzGcBzDctvhjqanXap9GPwmX3CnqCR0pfbInlOuuO+MEcxwJbQcAxbKLasi+Np2wcMW5y/HUK/tjlYSzckn88ZlLIp8NFyu45fsqB+2Rvhe1QiuCKkwGHkulcCZpBfcqkWi0qCyAYBwuryWEDI9DggxLI2tlfOK9NaRP2ITvh7cubrTsDo9/Pf91W90N6sDpBiGB8C1jwcwsnt16YNLl6susv6/zReoSUxtPLlV5wwKnhSfkQIlaGHD5mUuQsBi6Uja4VPcZLhShqPMWphMWCK2p0fVzxPqX9+ChDbtww6Vr0JdNBvcd26J+cDxseatU/oqT7eyK1fe1Y3qhGxgYTGskp9gG1MxbBscLDEFo8JZBoVDAn//5n+P+++9vud3Q0BDuvvtu/PCHP8S3vvUtXHTRRUephQYGBgYGBq2Rdixw7qI77eDGS9fiG49u7khJuHRuN646bwW60w4YJTWlyxGAJgEG+jLYsP0QFsxU9oc6eLRlT2fWouFyw9Cr1bfuy0fsrXRF+w6P4YOnn+R/pj6sehwv7RjCsnk9KFW9IFB1aLSMNw6O4vU3R/HS9kOo8MbA/UBvBtdfugZdKQeOTZFJTN51QMpaoE9CkTTcb5MO4jOqcj5alIBIMuVE4VSvaJ1M4DGwsfR/VxaOfEKHWay4yCbthnEDKMJQ1NmTjds2P3CZsBlSTvsv+RkrM64SpxOMp7iRQGDlWXE5KAEStoWETSHTDt5/yoJg25SjSG/KCCwGuJTg//v9U/HMlv14ZONuHMqXA/JP+IFdaVEQUhuHldAK5oB4Ioq837hzCKsXKPI+YTHYFgWvcgz297ZlS9l+n0T0gzF2wTU01itrxwAVWNZWqjrGHOQ3lWr/qcgR2BnqjzCk8EN7Y1i3WedijINI1D4/7DUPsktLQoZuIbSSRTphIZO0MFpyG7a/+NQFsK0oEXTXz2o5aDtV+9ZjvGsijHpyvZ19S2VRm+9JtO9aqeBk8LNxi3bP23g4XuKCx0rlGQc9bnvt3nG2PPIQUoKBgBJFFi6b10Qp2uRe1Ow+ry+ZxbNzaLJJUxC/vqlCymENiw5OyCXx1x86FSvn98JiFAmbYqyq7EID+Is1GKPBvFwoe+BCIj9WjTznDhUq6MvW1IdhojWwvPUo0gkLlKCBtB4Pmmhl09lX3sDA4Jig/r14qmDmLYPjBYYgNHhLgHOOyy+/HD/96U8jn8+aNQunnHIKuru7sXXrVjz//PPBi83+/fvxwQ9+EL/4xS/wnve851g028DAwMDAIAJCCLJJG4WyIgmvv2QN1m/ai4c37MSh0eb542Z0JXDB2vmBrSijqpwjYpHpgzECeMAiXyXUl01Evt9xsFEB0Q7qlVtcSFBCsHd4LPgbqAXCZ/ekYTMKQmRAkBTKXoOlIgD0ZhNYMlfloS5VPTy+aS9++tsdEaXja9U8vvaLTfj0pWtRdQUcS0xe+eLHynSuuzjCxOXqR22VPIvu70eaw7tq8rRU9cAYCeXQa8RUr2iNao4mU4qytQwTMp2Uqgm9TNKGE6P6Uz6KMkS0RLeJUEihPyouh+txJGwLXeN0XWBRaHVjxGsk9LUV31QgS30iXkpUPUXq/d6yE5BLO8Gx8TqlX9Xj8LgApSQIYCQdC+es6seZg3Pwo19vx7//5vVge4vSiBrX8619/YNtUMNu2TOM1Qv6UPUE0gkJm1GUfcI36TCMVWLycU0Vc9ICYZKwXOWBRW3CZsgmrYb5cazqQXCBbMqJLe/GrTeqPHQtkGVZ3LH4DgA1xVbBK9Spt+KtlMNd0pREmALU19NKW9fuSUrYDGetjM65v6jLQasJ2GZEm0MTyLB0cA3VK2brlZmdoIt1BSq2HqsHJV5CVSovXD20PU8AiWYltINob0og1nq5E1y38VMoykJAXFK9sqLd5qCmYJUSuGfZVyfUjoJXRJGPIcPSQQ5HfT7GUwd2QuxqhBW2bwXoudJiFJ7gWDW/DzNzyZoLxDiLVPR8Wk8UMkowoyuJFQOdj/24RTOTgV4EpnMKCiHRPyODmbkUEjbznRj0IgyJzbuG8ereEWzdn0dPxsFV560AcTm4EAE5eOsDL+BAvhIQoTsOFrBkTndw2cQRrZ5QKuhs0vZJwtbW5GHo51V2DNXMBgZvBxxyp44gi8MMe8YRLX8iqH8vniqYecvgeMG0Iwj1i+AzzzyD7du3d7z/RPZbt25dx/UYdIa/+qu/ipCDtm3jtttuw7XXXgvHqb3kv/zyy7jmmmsC+9FKpYLLLrsML730EubObQwkGhgYGBgYHG1QStCVsoPcLOsG5+KswTnYvHsY2/blsXuoiLLLkbQZ+vsyWDQnhxX9PUEQzrEp0k5j8HuqYTOKEjhW9PegL5toIKZKVa9jDoCSkIrHhycEEjZDpRpDMgBYPq8HjkWRdBgICCo+GTIeUo6FC9fOxzkn9+O7T72G/3h+p0+KAFv2juDxl/dg3cp5KFc92E0Ig1YIKy2yNIti1YMjBNoSpUmCDGWRPtUBxC7a1bC56wlUPaAEDosRJB0rIDXTCaX2meoVrTr4OKFxFsNKJB2GUpNzPG5xUtkh2plEx6HoVtsLqcZxXrhKBVo3mtsd23FWfFMBQlSeuLNPngcCAo8LlGPGv/BzDEKT6zofJwFsxvBH716ElQO9uP3HL2Ks6gUBYI16wrEe4cUAVU/4hD0ACSQshqonUK1vOybDD+qxF/qkziZTQ6vWkg5D0mHB33FqNq241l/p9gkIQAK7KrswHEMAh9HNusFlVElaTw62B9lArLQm82oY8UZULkav0BA414RpseIF+UkdiyGVYJGyhT/hUDeJu/1cja1w6sKZ/n2npph+8Lk3gu8pIcHij7gpg/iWlxMhkzoFAUGKpVD1qpBQCzc4l/iX9Vtw5fmDYITAcWjUnhVx41VfT+FPZMPYmgxHOCoKkFYJo7zs58XtYOc6glB0aAsdBrOAb+2/D1fNuRJplu5oXwLSUY5BAYESL3XaxGMLos69tsQkBLj0tBPxzcde6ejcB0Shf54Zpbhw7QAAAsZIR/dbFUyenKo9GHMhsk7f+y1GYTEKx5JqPgnZhT78wk7sz5dRLHtIOgwfXbcUQgJl1wv64ysP/S5YnKXtQl/fPwqsAvQdooFo9aFt4bNJC+3OjDO6EljRr47Bjl1MZGBgcKRwNO7txxr178VDheYLe9uFmbcMjidMO4IQUC/FH/nIR47KfoQQeN7Egh0G7WHbtm340peiL67f//738cEPfrBh25UrV+KRRx7B+eefH5CEhw4dws0334yvfOUrR6W9BgYGBgYG44EQgkzChmMJlKsePA4M9vdisL+5lVY9MXSkwSiFxQg8Dly4dqCBREj5eb06YQESIZUbQS2omrAoko4VXV0v1ctYNsUC2xWPi3i1Ugs4FsVH1y3DaQtn4fYfvwjXJ1ce2rALZ62cC48rgqSZMq8ZwgqdLy75Ykf7avvDZuXKIMjvAiB4aMNODMzMYkV/DzwOFEpuQBRrNenSed3AbztqRks0rGTtMAJev7VjMbhcTCqIXQ9CCKiS8dQ+q/+dEHSxrogirh45q6shuFHwiih4xaakxog3MkFiKB5xKp1s0g7UfmNVL1AUSgm8tGMIW/YM440DBTBKkHIYBmZksXh2Dsv9YIMMHfTK+b343B+cis//4LeoH+pe3TmpJzxK1VoQuuJyn+Qn0AalmYQFvUnOqhHcrYYMIUAXs1UpxO9HqcgDXXK4rFbQ9YxncVl2FWmWSdpoYIeggtLjqZomr3rSo6m50nU8SEgUeQEFMdqYhxBq/pAMGK26kJDIWDY4p3VlqH5LkvFrZpRgcKBHkRd+Z2/cORQJ6uu5vdkZyLJMw3Uk/H9HAiT4J5Va2wL+7OzlIVvuujGP8O2sNSEhfXK3tj0BIbLetbQtdCUsjAplg3usQoMEyl7yyZEn8fTI08hYGXSxLG5bfBsAoM/ua7m/yhza/nmUkIG6860Cm1FUPWWxrFXa710zgKdf2R9R0bYLKdV1tXKgB2etnOersdsLzelxYoXyqU4Ws7qTWDW/DwSKGAwWUUgE5GB+rIqvPbIJr+4dAeeKNGSUIJe08HvLZoMgWKOCX7y4Cy9sPwSLRu1CN+44hFLVQ8qx1FUWIlrr4QmBiieQsGhbVqMXrJ0PArVQodPnOQMDg4nhO29+Bx+a+SGkaGrSZRFC0M26p6BVRwb178X3P7l10mWaecvgeMK0JAgJIR3554cfNo4n330DhZtvvhmuW8uDccUVV8SSgxqpVAr33XcfVq9ejWpVvXx8/etfx1/+5V9i0aJFR7y9BgYGBgYG7cJmFHbKARcCLvfz1kkZxCcZUXnr7GP04pB0LBRKLtatnBdYgGro3DHtqicsSiIEIQC4XCiiEY05GCSgVC/+c12pylH1FAshpQpQa4KkXPWQdCycOCuLZfN6VKCrLpakCZIvPvACpAQOjVawefcwBvt74XKJTnhXqc8ROn92bEYOStlIPag8PxIPv7gbhbKLvmwCF64dwLqV81B1BTiv5ec7ZeFMzOhKtLSqDdrg/z+TsCDtmnpSSAkuJISQKlciJhG0lrVAOvwxknYsFDskeDVoTL/FWXvWWw1KAPesurMlsUNA0G1HyxIQuHvH1/Dx+dcga2VCh1X7N571XrvQ9qUAQKQq0xPCJwdVbr2weuNHv94euR5zaRuMEGzYfggSqp/fd8p8vHfNQKSek07owvWXrsE//nxj5PPxxnA4V6OQwOFCGRZjgQyGEhJcp19pQ42mUU/otUO4xpJKRH8nI9vV/z5G8oAFpEkPjtV692Z1xs4JLcqpc4QN9g/+JkBXyoYE/LxpUeWb3i6cUzD4jFE4FlV5U/2A2EI/R5puUzgHrUXV9sAEFcdHGv6BBcrZJk2Uweb6HkRCP0PbSfi2xvUkYXvHTv3cn8SXbwXk4DHqOnVPUpVz4iHPRyAhgjlTX5fDnjrn9VawnZLmNer2rRN3YZSCCw8SDAm7Zqv8yYtX4ebvPRfk4ewEA30ZXH3+IADlDNH24q9gERVB0m5i8dwhLjntRBCiFgaF82CVql7ELvTNfBnlKkfFU3bp6YSFVSfOQNIn/ICourjeLrTsCvz61TdxzsnzgmfH964ZwDNb4onWisvhWHTcS2Pp3O7Agr9dotXAwGDy+NDMDyFJk1Mzn78Fbgnh9+Lnth0M8qtOBGbeMjjeMG1H4URfTjrZz5CJRx6lUgk/+MEPIp999rOfHXe/ZcuW4bLLLsP3vvc9AIDnefj2t7+Nm2666Yi008DAwMDAYDJglCqCaorzyE0WNqNwbIqqKzCvNx0EQ+tzx4xHElICpdrR2/vlWIxCx2wX1+VgoD5BJSRQKPv2VhJ4+MVd+PGzb0TyCmo8u/UAAGBWLolL3nkiLoghSD558Wp8+acvQQLYti+Pwf5ecC466nsh1TFkZHdEXTUeHJsiZUUfv7WVllZx1T+JjlW9IAA4VKjg/ie34rltB3HVeSvQnXb8/HwWLEpxzfmD+MKPXoituy/rIOkwOBbFMFe1MEpBZa1GSggsJQ5rDMhNwEfP5aKWa5H4NoOJzpWnFiNBjq5OMZmY+y8PP471Q09ibmIO7ll1pxqPECh4BRR4oaMV04xEx1e0K+uoWOLnCZQSZZdDCIlCqYp/Xv8qtu3Lo1Bx0ZWq5SzLJp0QiShxuFjBNx97Bc+8sh+fuHgVejK1xGsnz+/Fuavm4bGNe0LV+ee2SWfp3FS64dvfHIWQwIrwHIDaIs12Tu2xIufCZEjc98cbpJSxOU3DqG+3Pg/aKlCrChtIQhLdHj4Jn05YkToJgBnZROSy1bazmiTQ20kp49+RYzp3lI9GcnpORk1YbwMaVRKrH9mUHdqmbv+QyajeWys9JZENO0iflY0qDxthMwYpJU5fPAsDMzLIJm3YjOKwPwcfa3LQoH0kbAtlX/1W9QQ8LtCTSeB/fvg0fPmnGztSEq6e34tPXLwaubTjK8A7C8vpMedYzM9BO/G41OBAb7CYJOWwYF7wuETFV61/7RebsGtoDMLPGd2VtAO7+EWzc3574tXF9Xahj7y0C2eumOMTomqvT7x/FW75fiPRKqSExyVsRprqemfmkrjqvBUAOiRaDQwMJgUCghRNKRX5FDlqHPYOx35+vOQkDL8XX3XeCtz64AYczJdDLiXhuZjEv0/BzFsGxyemFUG4YMGC43PVosGE8R//8R8YG6utkH73u9+NFStWtLXvlVdeGRCEAPDDH/7QEIQGBgYGBgYdIu1Y4NwFJQRJR61Wd7loyB2j89jUh6ksSpBJ2rVgtL8xkQDxPdlm5pINORh0AKxYdoMV7Hf9bCNe2jE0bpsP5Mv45qOKIPlkHUGyor8X567qx2Mb92D3UBEAlGqzTXAhUKpwpBIMZbd9cpASIGk3koOjJReiiX3WWNXD957c2kAQvLp3BLc+uAE3XroW3WkHZZcjZVtYfeIMvHPxrIAoBdR5OXdVPy5710k1ss6HVsKF0Yw+6ZDTAwjgsDpLWQJQrbpp45GdEiDhWEhY0Rdnne9K9xuJ+U7Vqb6ZYfeNy23WN4cSgpwmFFhZqSABQAJVWcXVr1wT9bykfAAAIABJREFUUtn44VFZG98KEmd1n4Wr5lyFLMtGyg/3e43GqbVaK4xSjoWELUEJ8PGLTq6rp7Z3qerhu09uxW9e3e+rjTle3j2Mm7/3HP7nh0+LXAMfetdCvPjGEA6NqmuXUQKXR/sgfL7DiwEkgDcOFvCT597A9ZesxaoFvSAg6GVRG0KPC3hCKVI1YcQYgUVVXisS6ibdF8PeMLgUscpCIQWKooi9lb3wpDfuO58QtYDVsDsCQoDrt96ALpbFl5d+OX6no/Qa2Woo1p+D+vGt+0rTWc2u1cb+USRgvuwiaVM4FgvOgR6zFiXwhIyQYzq41ZCDtuKBkejcro8rbl7MsmzjzCKjpOBkFAgyhlzUZLXupzBBKkM/40oLU4zN1G7SvxCbU85KpQ0A116wEgAagoCkbm3A8YJRb7RBOXjDthsAALctUtaj+vsRbwQjvLmKgoIGCum3MixKUIFSxWX83L9CSvRkEvgff3QafvHiLjwYs3jJZjSwjzuhO4mL3jEf63xbUUoV2abJ9bZjWUQT8ipP7WjZnZDV6KxcEp9438m1doau87LrAZB49KU9+N2uw3AYBbGUnfDqBTOwcHYXFszMYuVAb+AOIYREV9LG7y2bjee3HQgIxrBd6MF8Gf/+n9vxh7+3KFh41JNJ4G/+6DTc9bNGopULAZux2Alv6dzuYLEUoyRkIWxgYGBwZKDfi7vTDm68dC2+7lsvN0JG3ov1/G7mLYPjFdNqJG7fvv1YN8FgivHzn/888vc555zT9r5nnXUWLMsKckQ+//zz2L9/P2bPnj2VTTQwMDAwMJjWIETluCuUXRCi8qLlS1VwIRtzx+hgs1T7JW0Gx6b6q6itux/tISQ+BwMhBGOVGjn4xQdewOtvjnbU9k1NCJIPnn4SXnzjUC2Q3UFczeUCLhd48dVD+OajjXlzmuGyd52EM5fPUZScX9+tD27AFv+lMu3YihwNEQJjFa+peuhgvoxvPLoZ11+yBlVXwGbKkvLq81dg+4FRHMyXkXIYrr1gJZbP62k7Bq0Voq2ULb4zXt2Lb/T7oCzUyiGyRgy2IhwTNkPWsmGxaOXh+GDYYvFIoL5tpO5zAeEHxaMEYbA9ARgsXDHnimCFdbT8sB1mdL96qHGgayGx26QdC5efuRjPvvYmLFbr3/0jJdz1s9/hpj88NdjWZhTnr+7H955S+VMsRgC3sUxABZBXzY+Sf1v3jaBU5bjjJy/irz90ChbPyTVQJBb7/9l78zBJjvLc942IXGrvnu7Zu2dGs0+Pema0AgJrAG0GI2E4CONrzrEN1pE5XDCb7Mf3Hg6SwD42tiSMzYONwIAPx34EHC6LMBgkBEYbFsygGc2+araefaa79qrMiLh/RGZWZlXW0sssQvED9XRXZUZGZkZmVn1vvN9HYUzCEO273NpREiV8duyzcKTjHfHGaGg+N7KplqD0JiIUebH3Dl0AOotSQLvR3CwaSO8iDbvYwi3HtSKlRLGqBI1STYAQEgi1/jqZhIm6yzGYtVtSATfXoO1P2xFHnk/YdXSpUfcfiUK5jnTCRKFcR5/3HCAkeiakRJPw3pS6lcQbqMPpRjthUAJC46/dyx3/WvKvn7h7WSdx90LVmbwUJC2GQsVByjaQTZooVZ3A/X/L+mHcvG4Y246cw96xcZwYL8PlEgnbwPBAGsvn5bBmuD8YK5ZJkfRrL6Px3O2V8CSRbMJEqeZMykloMIo/fvNVyKUsEAKkE0YwEUYICYcLSAn8+IWjsA2G2TkbN68bxitXzo2kw7NNFgjvlBGsXNCH979xFJW6iyd3Hsf3Nh/G6Xw1ki70x9uOYd3iAaxe2A94Dub+tI2P3qmE1u9uagitPBA+G1fkYNbGrRsWBen5/FrM2iyg0Vxa/nDvHyLv5qe0LgFB1qs9TQlFlmXxwLLJ1Xi/WKQTBopVF7mUhQ/dsQH/vn0M/7rpEE5OVIJ7eThNOwG8MhGLsHGtvm9pLk9+pQRCza8e27ZFa6TccMMNPa+bTqexbt06/PKXvwxe2759uxYINRqNRqOZJJQSZJMmHC5gUJVSrlh1ceuGYWw+cAY7jp6P/ULkQ5pEjfBM+XY1GBxXoO6owOI//mgnTuerIW9V77QKJBKWwXDT6FBjxuckvptxLwB34EQexWobVaUJ26C4eulsFXjzuv/41qPYdOBMsIzjCiRMBqD3IPLe4xP46c7j2DiyADWHw7ApskkT99yxAf/7p3tw+3VXYPHsjOd8awrqSqDmCJQcNzgfBlU1Lw1KAEkCsbCZnNGH5oNGQZBl3hf7kIsvXq1Q/wiISB1BP8homxR13uqAggQcIVCuuUGoMJtUX659B1GcI2nCnVBevzYCFAFBv9lcV0soRRNo/NtuR5p+BdRxyxhppKmqX9gp/ZKEDFw6Le9JCdnDNzajnkXKMpCyDRSqDmyTBelvdxw9j8e3Hg3SyEkAN6yah289dxB1VwSpfiO74F1qd1y3JDIey3UXmw6cASUElRrHfV/7BV4/uhB3XHcFLEZBCUEmacIVApyrepYNCVUJTb4Q05e2vX0/Dwng7m1/hKIoqnOKxrksuAXkeR4cvNHHdva5mHMcPwTjRZ3J32HC6zbay7GGaNqoaRcdL02JqACirp3m68h33zXWlyg7HGAxooJUgnMg8Af7FJVwSjVX1SBtymplGQx/+tarsfPYOA6cyOPYuRKqXvpa22SBM/SKuVlsO3IutM8SrpAoVR0wSibnhrpA+JNSfJdj1hNCVG/j8V3Cyt3ekKFJcBRj1pHqHRazv/5L6YR5WToFNb3DvfSapkFRrDhIJ0xkkxZqLkelzr0xD6xbPID1S9qnwzOYqsccFuiBeHHQvxe0RTYm9eQMiborUXPcNs/tRlsp24BtMJVeHUA2Yakx7t1PXC5AQLBr7DzOl+u4ef0QfvP6K4K0omFnjD+ZwHdE+hkZkpaB2zYswuuuHMJXn9mHH/zySJAuVEjg4cd24ANvWq9SWHsKvERUaN0zNo6xc2UAEglLCa3L5uewZigqtKYs45LfbzQaDZB38x0d5Z3wa5YDmLEa3zONyk6hngWZhIFSVWXV2bh2AW4cWRDct46cKaLicCRNhsVzslgz1I8rF82C/7nC1vctzWWIFgg1lzU7d+6M/L1ixYpJrb98+fKIQLhjxw7cdNNNM9K36bBv375L3QWNRqPRaKaEn7atWnfhcImbl1AcOXAa50s1AIBKShV2XrT/8tOftvFr1+awc+cOmAZBymo4UvyZ+Zv2n8IvfnkEEhI1R6Du9p7W0+e5U4fwJWMCN6yeF/RplnBBC6exc6dKa5rqscZdseKAS4lNz+/HxInONYdMRrFyQR+uWjobp44ot1a5zgEp8X9+uBVOoQYuJFwuUGUUSYsF/euVR743hjkYBaC+rBIQVOsu3rTSBB8/il2nhUrFCSCbtFDnHGUoJ+bZ3eMousWWwCQhBJZBYTEGySR2ObsANASbD+NDsX2hzhS+0DvArh2qfV8Qyb+YR4mX/N54/0rUHA6Hh4Q2QkBtFfz3+xbub85Q4mPBLQQCSVyIn4AEwdOCq45N/lCjD3HHoLi/iIqoBC3EiY8GY9gld/V0GCKiagjRo1zFHCVEnh87iFJdBWwrVTcI1n7l0RMYMq6O1J2bR8ax46Sq9yKlEvO495/LBZbNy2HYzGPXzh3Bdp7adQKnjxxGwmKBAPONsYP49uPP4sa1C/C6Kxd6QY9G32TwwxMJuUDN4bBNBocL1FgRBMD5gydRRRklb+XgWPMiBERL0Jt4qlpjhDRcnAZj2IXWceVSF9u4moDor+mLs/457ZSONtyuz7LTyzBGxiIC4T3uPR1dVbF4izdfR8QhOLb7GCQkjuEYCm4BE3sm4NCKl7KyMamACz9FqydO+oKYBCCFEo29HSwTAiQkdrlqf/qMPkioexwALEup/wCGwqlD2H+Woc45ao4AyedROHko0vVqnaPucgjbwKbntyJhMhSEchKcO3YO2+vbASBwF0SvoemlGDWoEVxrzdd9jqn0lnXOgzTL4bS2AFDaX0SFR+uf+eOr8RMd60ESEDAjes/0U2s6rgClJKgL6ddezB8O3+smSWiihf9385iXL3KwlskWTf0mgLQ9f6s3GYKABMczuH4Oq/O2qx69F5b2lyLnsaV9EJgs+nyt8Ers+Q6fR//YlatusCSlahKSwWhL2tsLTbGiJl7UXa5cg1LCNKiXXpOAcwFCVMpyISSEaHwWohTe+aeBkCwB1Bz1OcqgBJbBgolV/vi4C3dNvqNmw63cPAlh947dIEBwTRSrDpK2AUaUsGd447Pifb57ZtcJ3L4yhSv6qti3ZxeanfJA9DoB4p3g188BBtan8cjTe1GWavk8Ae77wkG8/YbluGKuP1Go0b4J4Mo+4Mo+GvpMVALyJezKH1fHzGS6dpfmsmfc6b0+6VRonuB2MRh3xiOTn+I/G08OAgLmlSaghKpnqfe8uRT72IyUEiXvc7U/0cGv/d163zLQkFsqQKGCnTuOw6AUtqmeXyobixYILxY6Bt8dIjvlctFoLiHnzp3D4GB09l2xWEQ6ne65jY985CN46KGHgr//6I/+CJ/+9KdnrI+9sn37doyOjl707Wo0Go1Go9FoNBqNRqPRaDQajUbzcmfbtm248sorL3U3Liv0dBvNZcv4eHSmTSqVmpQ4CABz586N/D0xMTW7u0aj0Wg0Go1Go9FoNBqNRqPRaDQaza8KOsWo5rKlWCxG/k4mk5Nuo3mdQqEwrT4BwKlTp3D69OlJraPtzBqNRqPRaDQajUaj0Wg0Go1Go9FoLhe0QKi5bGkWCBOJxKTbaBYIm9ucCp/97Gdx//33T7sdjUaj0Wg0Go1Go9FoNBqNRqPRaDSaS4FOMap5yTCVAq666KtGo9FoNBqNRqPRaDQajUaj0Wg0Gk0ULRBqLlsymUzk70qlMuk2mtdpblOj0Wg0Go1Go9FoNBqNRqPRaDQajeblhk4xqrlsuVwFwve+9714+9vfPql19u3bh7e85S3T3rZGo9FoNBqNRqPRaDQajUaj0Wg0Gs100QKh5rKlr68v8ne5XEapVEI6ne65jVOnTkX+7u/vn3a/5s6di7lz5067HY1Go9FoNBqNRqPRaDQajUaj0Wg0mkuBFgg1ly2Dg4OYNWsWzp8/H7x2+PBhjIyM9NzGoUOHIn+vXLlyxvo3Hb71rW9hxYoVl7obGo1Go9FcMMp1B44rUaw4+PJPdmO8VIu8LyUASAgJlGsupJRYf8Ug3nnjysgyf/f9FzBRrgMACAAQ4q/cWM77t1Pl4f60jff/xigAgkzCAKPTy7QvQ30oVV24QuDZ3SfxrecOtixrmgwffds1SJgseO2Z3Sfx7ZhlAcA2GSxD9a9bPeU3Xr0Y1y6fA4MSpBMmAKBYcSCkBKMErpDgZmnS+9cOGjrKEoCEBHPU5K2HvrMF5brbsW8XAiElCm4eEhL37v2fKPEyAKDMyxAQLcsTQmAZFCajICBIG2nct+Re1VbT8hRqmayRBQDk3TwA4N5D96LEOx/XNEvj/iX3R9r94/1/jIIoRsYPAUHOa596FSCE977DBWoOD5b1VyMEyLAM/mrNJwCg5RxIKSEBOK5A1eF46yuW4obV84L9rzkuHnp0Kxyu+iWERLnWOHcAYDAKRgkYJbjjuiuCc5myDRBCgnW416lN+0/hmd0ng+u1GSkl+lMWXrV6Pq5fPgfZpKWOKZ9Q70ONJ9p0Jcedw8mh2vvjXf8DGZbCQyN/4b2qXh93xwEA9+y/BwVejKyZZRk8sPyByGv3H7o/OPf+OTaJibqsg4D0NDYaPSNBP+JIszTu9cZmn6EmT37j9DfwdP5pSKnGQRgZ/FCoa0C9QEjrPTLcviXSqLsCf/n//RKOaBxzzgXKde71N9R3Arx69Xy88erFMI3G/dQyKBKWAcjGuQ1fQwW3AAD45JFPoiImnyEGaB0TKZrCny76UwCIbEdCensvEX1qxOOPvRxTx/qfn9yDXNLC665cqPaDEBw9U8RXn9mPm9cP46orBsGmcH8bd9SYu//w/T2PFUh03IdM6Fz2m1ObFNutXwQE9y25D0ma7LnN8LmnRI0TKSWkBLhojK04qo6LB7+9te3Zk02fBd554yosm5+DbVJYjKHOOWqOgEEJLJPBZNOvsCOlRKnqwjYpCCEoeZ9fHttyFI9vPRpZtvlZLkN9Llacjufz1vXDuHXDcPD3gZMFfO6H2yPLJC0Ds3OJls82jstRrnMcOJnHvzy5t6VtAoKESSEA2AbBn771GjBKwYX63FB1XDhc4pldJ/DM7hOQAMo1p/mjVyxJ2wAjBFWHB88xnxvXLMDrRxeCEPVcOZWvYNuhcxiencGyeVn4dxjTIEiaRvD5x3EF6i6HK7p3YCbPtUYzE0zpft+FNEvj3sXTu99Ph3FnPPjsIiEjn3GLothp1bYQEGSYyvhGCb3k++hTrDjgUuLrz+zH7rHxGWt3zcJ+3Pnq5WCUIHMBvyNpFDqrX3e0QKi5rBkZGcEzzzwT/L1v375JCYQHDhxoae9yYMWKFbjyyisvdTc0Go1Go7kgOK5AseoAAD713a2Q2QXoy0aXCYJkVRdpLxh9zGVYsnwVklbjI+rb3D584z8az3MCwPWCWH6w2g+8tUTHQfz/47d/bQVGRhbAYCQQJsJwIeBwAc4leCgIxSgBYwQmoy2iopQSQkrkyw4kJL7yfAH9C5bCFa2CxinZj9tGFgV/rxlZizE3h53HWr9sUkKQTZog6CwQrlzQh/98+3oAQCZpBgGxfLkOISQYo3C5gGsV2rYxWShpEgilhFFXJ3fWL/IwvfMOALuLNt45MqIEsJQ5bVG2HVJKnHPPQQIgDgN31fmz0TmILQiByQhSdgZrRtao12STQEiUQNhvqODEeVdNXMuZORDeWbzNsizWrIq2myEZuJy3CIQZM+P9riQKX+ADCEo1B64n5IXjrRkzizVrVfus6Rz4gdlCxcH6oX686y3XqNaUyo6fbDuG9JzFkABcLlGqOvBzdPinmBIC22SwDYpdhQTeOTIC22BI2UbQNhcSE+U6vvjELuw9zoDcQvTl2h8TKSWePQ6ULOBP3rIWlBCc5+ci7zeP+eZzMlkI1P0hU88iZ2SDz+D+HeSscxYAkIY6N2HSLBMcY5/wuY87x4QQcN5e9AAAk5pI0VRXgTDc/oAxAAAYcofwPryv634DQImX8KUTX8JT+ada3qOgkfZnsQE4XGD2c3mU605kWaNcV2OvqavPnwOO/XwCb7xmMTauXYCUZSBhMaSs9mGGc64636ZpouyJ+b3iC+jNx8xgBlavWq32w5gFQAm/fJJjh4CAEHUsAOCaQgJz+1JYvXjAE1gJjr1wDOZADdsnbLxjZAQUBNlJ3t/8MZezut9HAmGwizaSZVmsWa3O5aA52HNfJtuvZ3PP4vfn/T5SLNVTm+H7py8QCql2qurwyASIMOW6i689vR+5+Uta3pOhA+Lfw7gQqKXmYvWapWCUwDIYKnU3OG8AYJkUKcvoOvGmG0LI4F5VrDpwhcAPDnBk5rHIcpmECYMSdRRI477ucgFZdWPb9nEzc7BmZG3w9+yhKv55SzTwnjAZhMmA7EKMDM9C0jaQMBmkVJM31oxwPHuc4lyxMUHrFSvm4rdesxxJywABYBoUaTt6vfrPmXWjDt7NZej1XmR29Qyp1Dm++vQ+PLfvNODtN5s1G2vWroXhBcSFlHhNpXGvMRhBwjKCzzJSSpTrLuqO9/yDxK5j4zhwIo+j50qoOhwJk2F4II1l83NYM9Q/4+dao5kuk7rf90iWZbFm5fTu99PhrHM2KhCGPuN2+/zTDgKCjNEQCC/1PvqUqg7qrsC15TROiMMz1u41Vy3GyMgSWAa9oJMoNZpe0QKh5rJmdHQ0IhA+++yzuOOOO3pat1QqYevWrS3taTQajUajubBUHRX4+umOMew9PtHyvh9kqrkiIqbVHI4ndx7HbRsaQtrN64ew6cBpvHi6IXIxQlCsOLAMb3a+74xp/IiwckEfNo4sAADlbAmhHFYuXB4f+OJCAi5QAYfBlGBiUBqIKI6r+r/r2DgmSg6ySRNcSNRdDi5k4PL50dZjuGl0GKZBg/1/3xtH8fGvb8LJiaiLRkgJl0uYTAkb/h6Fg6Jzcgm8+6Y1kABsk0ZmyzOq3F2MErih7+nv2f4B5N3uYmG7GKBtMtim2k6O5fDAigfiF/Q4W6hh17FxjAzNgsMlLvSE/m6CajNSStRdidN8AiVeRpqlIg6XcGC7RcSRRP3XMt5kdJn4LXfoFIJx7JtlU5aBYtWJCNeqj51bd7nEnFwC73tDY1IaAUGdczyx7VjgAuRCwGAUEmqfGSUwGIXBGnt9tlDDgZN5XL10DgAVvPfFwQcf3YIz+Wr7fQpBCIGUwLbD53C2UMVgNhGIMUoZRXBIVX+U0NPsIAo7cWiXcy4lUHJLKLqlwKkZR85oVTZzLBeMKX97ZV4OjlUcwvtf8/sNyZcEDqxO7cwEaZbGu+a/C8/kn+nJiWkyig+8aRSf+u5WVEPCTcI0UHGaBA3vlJzOV/G/frIHX31qH65ZNgcb1y7AjSPzYVwEB0+e5yGkCP4DGo7QD+77EI4Xz0dcty3dDw2rnJHFw6OfRviaXjG/D4tn+2NGvf7iKXUPXT6vDwlTCTJT1SCyrP14jNxKoMYfF1JNYvEEFwL1PGSMIOs5LwD1DFETDbzniRCxk1wmhSdUPjnxFJ6eeAZpFi370ebxiwzL4KFlDwEABkx1rZe8yQVf/vfd2H74fOtKUJkFmh1oQFSkqrnKYe0v558bLiRqDsf5Ug2fenQrbtswjI1rF6LuCHDuIJMwQenUrztK1X1MuZ7VjhMCpG0TXIjg2c9IQxwM0+7zRphKk7PSYK399Z8J+0/mMTI8C5wLSEM5G5O2AdOg+I2rF+F/P7lP9ZsQ/NZrliNlGcHwYh2OQ3MvifdQ6tZ7KYGkxfCO16zApv1nIKCGhn9PCbI+EOU4ZozCZCQyPoWQkefeT3eM4YdbjkbETp8tLyoBZiBjR841gauEUC0SajSaKcIYAVxg2fwOs9+mgN8eu0zczlOZKKv51UILhJrLmje84Q14+OGHg79/8pOf9Lzuk08+CddtfJG9+uqrMW/evJnsnkaj0Wg0mia4EHC5Suz2wy1H2y4ngVjnwPc2H8brR4cigtfdt47gU9/ditP5qgqKEhWgqzguqg5gGQxJ24gNs8/2hDRAzSif7Mz0oYE0ls/LYc1wPxwOONxVsz29GfdcqGDZ/hP5YJuMEiQtIxLILFYdfOfnB/G2G5YHwk9/2sbH3n4tPvP9bS1OQi4ETMYigokfVlu1oA/vvnkEuZQFRolyEYTEEsYIHFcFFGshI1DeLWDCzaMTnZwqGcNE3Zv9TNCa6jWOAyfyGBlSgUuYrOvyUyEc/LMNBjgdFo7BlRyfP/ZF3D307sAVowKhnYKKceJg+375qEB/+3WCt5pE70zC9JyE7VTBUL5Jb5EVC3K4+5YR9KftSH++89yLOFuoeQ4YX/jtvh+2wUCg0p76180Xn9jVszjYaE918Z+f3Iv/8tpVGMwk/F3udkiD3QtfW3GuwzBlUcY/HPkCODrPav/8qodbXiMgEUcaAKRYCgXeg9DeImrK4HoOi4KdhLvwe357XPIeE2aqc5diKaRIGgVRAEEjBScFRSZGoFo8O4M/vHUt/vb7LwRj1TIpHE4jEzqae1BzBZ7dcxKFqoOrrhhEJmnCoBRcShTLdfSl7YhQIiAw4eYhg30koZ8x+wLSIuJyyb10laHx4PWsyIvI80Lb8dHshoobQkvnZCO9q9RdvHD4bCC0hI/FVCSIB5Z1nmQRJk4saybYV2+oCSlBCQElBPmy0+LQ6okYB6OA8FK4RmlJYxsS+2OaxXipHmQb6Kkr3jHwU5M3u/UrTZ8pDKrcc488vR+bDpzBu29ag76UhWJVTeaZjnBECIk8BZImg8mIem6Hlon03/u3ebJHHEkr+rx0uWxJM+uPiWPnSkG7ShQWIITAoBS3XbUYz794FtuOnEfKNgJ3L/cyC5QIQbmNmVEyCTnFxzarZ5G0DCQtAyXvg0jSZN5EHngCLUE60ToWpWyIgw2Heutks2bOFWt4bOtR9KdtvHr1fDBPyAU6PyM0Go2mHSajqIBjzVA/BjJ27CSFyTKYtbFmqN9r/9LemyY7UXbSnyE0Lxm0QKi5rPn1X/91JJNJVCpqZv2zzz6LXbt2Yc2aNV3WBL785S9H/n7rW996Ibqo0Wg0Go0mhF/TbNex8dgvUWF3U1zA83S+iq8+vQ//eeOq4LX+tI2PvHkD/vFHjSCRQSkcrqpr1VwOw5uBDtIIva9c0BcEBBklQWCsl5npflDp+YNnIAH0pSzctmERXj+6EDVPPKSUgAvl1Dh21q8r13ALKLdUMFceT2wfw7olg1i9sB/w0o31p2189M5r8fjWo/jupkM47YktvvDoewillMgkTLzh6kV4/eiQ16JKMUZA4HqiTSqhvrhVwSNOx55pE7ekJOxg6L3RIHDZY2qy6WIZFIaXWnUyPHb6J3iu+GxQ/0QCyNA0HlrxUEQkCoRYNwG4KujpG98CvCB92kzHOA9b3Yi+a9Fvq+Vf749MwlSOmbqL5viyL1BIKTGYtXHrhmHc6LlmAV/8kNg9NoEnXhhTIlUgKLaG75vdmLZBsXBAOYZ8Yb+dQ7hXfr7vNDbtP4N3blyJG1bNg8EI0rYZCIi+IPfh/R9Ggavrq1YXqMekr0rbRsQR5LsKpVRCUcVtn84vfPyb6ZYCdFLM0CVACe1ZIPQdsJ9f/XCwTvP+ihgBbfVQP14/OoQfv3AM6i4kkbKVk1V49ePakbIZ0gklDgopUa62r7UmpAjtS2MpNe5J9O8YKCgEEbHBf0oIcjHppJu35ZNlDcHIb64/Y6vXNnYVAAAgAElEQVRam3UVPPvZnpOouwKZhImUZYALGUmR24mwI/lC4YvnvjBYqDiwTXVPtAyKuiuU+76X9ItNwqCEVDVtuQg9n3x3AQ1Saba0EXZCRoRcROrydt03b1UhEYzDZpJN7YUFxL3HJ/Dgo1vwkTs2oC9loVx3ke40M6JHmPc5YHgwg+cPnespH2wv1+/i2ZnI36cL1Zj7tDre1bobcjN6rumqg3TCAKMEH7x9Pf7lqb2Y359COmGAEoJx0VmQnynC+zrkPUNYlw8mU3GoEwK8fnQIv3n9FTAZRbnmIGmra5QLCaEdMRrNjONPSAn+nsZnpstVxGdUZdRwOXDbhmE88vT+abd564ZFICAwmpzTF5OppHB2OXr/DKF5yaEFQs1lTSqVwp133omvfOUrwWuf/OQn8aUvfanjenv27ME3v/nN4G/DMPA7v/M7F6yfGo1Go9FoFNybgXjgRBunmvdFksfU6fP5wfNHcM3SOVi7aFbwWl/Swofv2ICf7hjDY1uO4uR4NC1n2HE3mLNx64ZFQVpRvwC8L9h1m5kel8JsolzHF360E0/vOo73vXEUfSkrCKBKAKWaL0D4aUX9QHPoy5MEHn5sBz7wpvUq+BdK13XL+mHcvG4Y246cw56xcYydKwOQSFgGhgbSWDYvh9UL+xvio7fdcs3F8fEyDp6YwKvXLAhSYzJPzEuYbLKGuljsUGpWte3eJIogTeHF0QcBeCk5a04kINgNISXKjgOJAiLxDtLqNAKAv1/7Nx3bI0RVE2yuXdhn5rqmtvNTA0bPtfppGxS2YcHlEjZpBMNNpkSAu28ZwYqFffBFZR8pgYOnCvjrbz0PxmgQoCUAJCEgXQTc0cWDsAwl+DhcjfpODuFeEVLie5sP4VWr5sLljZSb/hgDlMB3tjaOSp3HngsAyHOCrG0hZzYEXt+pkmYZpJlECdwTgD3xELIH0aY12EW9//m/x6/RWKeXKyXP8/H7JtGaOnP/B1HkxdZlPXIshweXP9h1m5HNhEQlQAnt77xxJV61ci4yCVVfjwuBs4Ua9p2YwJ6xCWw+cBo1t/U+fuv6YZheytpSzVUOwqrj1TrrTZBRGosMamZO1aFHvBtls5dzcm0QpGwDZwpVPLHtWFxPe0J6/wtPOOi8vPpJpFdbtlKPim3NrYdeKBAlDgkpUa1zECLAhcAvD5zG9SvmwXEEitxBuinVpj9uMzSjnGNem3VXqIk4UqoAUvixJgHiKpGeMYoyL0FANHSymENEKAGExNBAGs8fPNNTkNE2CEaXzMbQQBpL5mQxJ5cIxLnT+SoOnspjTi4RWedcITpJ6Uy+ii8+sQsfun096o6AZYhpOyHC6efCru84/Oc2CX5rz6qF0fvSwZOtn6n89KDB81lKFGsObIOBC1WHMJ0wkbINvPumEZRrDgzq1/FU3LP/nhZHtC80cy6Dzza9xIFzRhb/cOWnW15X6VhlTyn1HHfyDvWkxXD3rWvV5Cv4Yraqk0tCzzof7YjR/CoRpD+vuRc9NWQf6wPQ+IybNbIXftbBJSBhGShWHGxcuxCbDpyZ1uS4TmUvLhYzkcJ5JtJ1ay4vtECouey577778Mgjj8BxVHjry1/+Mt761rfizW9+c+zy1WoV73rXu1Cv14PX/uAP/gDLly+PXV6j0Wg0Gs3M4X/ZOOo5x1qRkeXiEBL41He34r+/7RpcMVelwCNEBYk3rl2IjWsXYOfRcWw/cg5HzhRRcTgyCRPL5+WCdKB+oLN5lmO3mendUpjtPDaOj399Ez73no2wGAu+B6dsA+Wai4RlgJL2aQ8rdY5P/+vWRjDLi2D7gtC6xQNYt3gg2Oe4vpFQisLdY+N4+LEdqNQ5/mPfaXz4jvXIJS3YnpPCMhjQ3jzVEwYjsI1ocMFxewuMBw6Ri/X9kSjnUMY2PddP705CLmTQT19c8p10flrYHjY/zbR1oYaa2g1v3mAENqOBoJNJKOFl5cJ+SO99KUgwfrcfOY9PPboVVcdFLmV5NcrUDnIRrZcnPMcFpfCCpgRL52UBkK4O4akQrlVZd0WLq0hIibojWgTf8GF+3awb8d8W34WMkW471CQAIpVw67Xg/bywg5N4Djx/XMSJilLKllSj/nrBMiHBtJcUp81tqZSIIUHUS6E7Ua5DSIkSc5GxDYA0aq2uWtiPar1RN2xWJoEVC/rwhqvUzPOf7jiO720+HDif5+QSuH7FXADqXseFRL7s4O9/sA3/z3+6JtKnHMuhj/V1FVB9kZCCtNbskyrdZVz9SCVSid7vPaT1WI+74+hns0BA8INfHsHZQvOYbzR+z4FWoaWZV2Zfid+Z+ztBDcq2XUFrOtUw4SMWJywXqw6+9fODePN1VwRCY8I08KrV8yGhJlE0XLaNsemPjYeWPxRMAmknykf6G3Lul3kZXzzxZTw18RQAVf/Qb6PuilAdXonl83KhfWit1QeoVGw3jQ7hVavmIWGx2PvwYDaBNUP9yCRMGIwoQdPhOHymVUjfe3wCP915HBtHFqBad2G2dZn2hmUwVOuTSz/HKEFMhvWAObkERhcNRF7bHzPpynf1D3vOPBACziV2nTyPoYEMcqnwvsnYuqB5XkCBF1ouE9+hWeD1hmOdTPJRLiUcV7mEZ3vnCOicUq9bDetmkhYLJl35EwvCTsodR8/hxVMFHDtbRNV7vmhHjOZXCf+eqK61BloInzlMRmGZFHVH4N03rZlU7e0w7cpeXEymk8L5QqTr1lw+aIFQc9mzbNkyfOADH8ADDzRqNNx555146KGHcPfdd8OyGh98d+7cibvuugvPPPNM8Nrg4CDuvffei9pnjUaj0Whe7lQ7Rb/QXWwp1138+Tc240O3r8faRbNAKUHSYqg6HC4HRoZnBcEmn/BM8bgvw91mpveSwgwATk5UsGdsAqOLBtTMSS+9GKOnUax6MypJ1AUWplLn+NvvvYDXX7kQb37FFUpo9F1rXnCLEgJKVdDV/7fmiiA4V+cc337uRfxk21gQENh7fAIPPboV/+Pt1yqXgKcqRVOddqFJiaKURFw/vmhRczufX59eU4rNFL55g0KJhDWXo+bwjvW7qCeIWAZrce4BDbGAECBHZsEVInDKEkLAqEoTZIRnaLcLpEoKSNr6XtPygQnFdz8RJW6p/jR+NreRsBgMzyFYcVyUywKPPLUPP3j+CCSa61pJSKGCo3FHx2R+8EJi8exM4NYBOjiEO0A9J1YYP5XvkdNFrFnYj2rNVXUk0RDuFljzYYk06m3GHAXF+xe/BymW6Cg0+OKt7+K6GPSaCvRC4++3T/gYEKK0sWLVwe5j57FiQT9qDodhq7SU5Vp0hoE/NlO2Snl807ohfP2Z/fjB80fwjlcvh20wuELA8e5X//ijnTjTIqwBDy5/MHBH9kpretTJrT9VXCHw1M4TLa+z0Mz5gie0dOLx8cfxxPgTSLN07PuebgZbpvC3qz8FADDqyhV739d+gVLNDa4ZIYFSLf45Vaq6EFIiZRm4Zf0wpASStrqu8mXHSz9pgpJ4d2ZwfcjW95q3RpsutjRL4w8WvBubx7eg4jowWDJYx+HKsedyNSlm1VA/MkkLxUodre77RspII1Q7uB1+XTsCAttQ9/Ns0oz16j225QhuHJkPl6sJEnHuGi4EHK7u9Z1cOX4q20rd7Z5+zptpYjDSsVbuHdctidzDynUXmw+cjiyj0n6rfvtCq89gNgHLVM8Zlyux1K8v5d9ffWQ4ZXDoOeR/brAtAxX/HhB243YRC/1zZRoUNZfjtqu6p9TrtYZ10AUC3H3r2kAcDI+Px7cexaObDuFcoRaMA39saUeM5iWNbP0O5QqBH245ggOnChclNeSgORj7OiW0Y9r2lzIpywDnDvpSFj5yx4aehTWfdmUvLjZTSeEc5kKl69ZcerRAqHlJ8Jd/+ZfYvn07vv/97wMAHMfB+9//fnziE5/ANddcg2w2iwMHDmDz5s2RD4aWZeGb3/wmFixY0K5pjUaj0Wg0F4ButYV6+W5arrv4i29uxm1XLcLvvnYVDGoiY6s0h3VXoFJvBK4pITANCkYJLCM+nU73memNND2dBCUA2HroLFYu6AsCxMvn5WAZFFXHRbnmIpMwgNjQq7clCTyxbQxbDp0NuSOMIICYsqPiZs3lIAAqdRc/23MST2w7FuNmUV/cvrf5MO64dkkonRkAoupEdXMThoOp4ZpwjXeV+JvoQXCUAJbNyynBkxIIodwkQsoLl/KI+GkzVQdUoJj2XDuLQAnEzfFBXzgMRLN234W7BE0JiY79tsuG3/Bnh3MBg/npK+PrvPjBXwmJs4Uq/uc3NuNMoYZM0oRBCdKJsNgL1B2BTDJ+ZwxKkfYEvdnZBAxGUKsrQaa9QzieV6yYi996zfKWgIg/ikzWEKKD+m+em+nvVv5de1HU2xNfchUQKPMy6rIeu6SEDFJhtRMJCQj6DJU2a9wdb0lBKrz/+b/HbeNCCIO+GFZwCxjnE+3FEtlYdsLNgwD46MGPoshLyLAM/nzpn0FICaOehgTwV99+HqWaum/1py38v//paiWcSAlG1P3UCaUSlaEfhCgH1Ts3rsIrV87FWs/1FK5Tuef4ROBwvRiEj9MEb73Pt3PFCSFDx20iGAN+qsZWYQywTYpKb3MlGtuBiBcSZSMVI3GcYAz52y3VXBSrTtD3YrXV4d7Mdzcdws3rhkFJY7xzqwAXQJ23insttBHao92OHpl+Yxb60Id/XPu5lvccV0BaMuLhvXX9EL7y73uRshvu+5RtBC57/yh0feRIlVLSYAQJk4FRglesmIu+lBW47H3CrmWHS4RNHI4rUHXcQFBrJs6VY1CCpGXgjdcsxrbD57DtyPnYdf3nq8EovLlFLawdnoVb1g9HXnt61wlcs2wOVizIYencHGbnErCY+ixUqDpYvbAfLpdwuaqPafr1JqsO3GAjEvuOT2B08SC4EBBMBs8AFwIGJSCSQHrPMP+JaBsUjktaj4dsvSM3nyNfhFi9oL+nlHqTdai/fnQoGCP+dTFequEz39+GncfGg+VcLmGyVjFcO2I0Lzlk+Bmsxr2ffvqxrcdQrDZmHlwKIbzF5X+ZtDUTEKLKVRSrSiT80O3r8dOdx/HYlrjsAg1UXfD4shcXm6mkcI7jQqTr1lx6tECoeUnAGMPXvvY13HXXXfjqV78avH7q1Cn827/9W+w6c+fOxT/90z/hxhtvvFjd1Gg0Go3mZY/vMhoeSAdfTqOoEFm3FFs+QgL/9ssjmJNL4K2vWAbbVDP2DUYiwU3bZEqUJPFBz24z06Xn3Ku7omvQFQD2ncijWueeuMKxZrgfs7M2ynUXDheouQK2l0qt05fAs4Uavv7sAXzruYNYt2QQi2ZnsHxeDlctnR2IlEJK/PLAGTyz+yReOHwW9Zi6X2G++vQ+vGLFHMzvT0XccGnLQEUa3R11VDnqomlFVXjZFcqNkOjwLcIP1A1mE1gz7KcUU23VHeXKmOmUR0HtLJYJdSQUSGFoEfVKvATuCTx+rTLVlgpUVnl0gEoJ5Eu1FkmIQNWAMg0KI3SuK3UXCbPpQElEoqotboxWK0+wIKMExaqjhE1KkSKNdFIqZah3HDy34dBABn/xzlcF5zpuHHZzlvrr9KWU28hIqNpyS+dm21zfrVBCOoqDyg3VOVAS5wIKi7qNVwhSLIW6Gy8QRrd/ebj7JguXItY5Z1ELaZZClmWDGfx9Rh8IgD9b+meBa9BPXUm86/tP3nKVJ0wp0rahnEnegbUMBj/7LmPefYBLOFwEbjZCgNHFA0haBlwhW+615aoSIHNJC7PYACTx6io64361OtjUQoqlOgq3/nvhFKD+7+FjUhIlFHih/TkmcYJT1GHpv1KqOZFlCQFuXLsAmaQVmUggY1wdjb6j9dpus3VXSBhtGvKv11qPz6nT+Sq2HTmH9YsHYt/v9nyaGp2vK//55adtvmX9MH625yR2jykhOWV3Thnp1+k9dLqIal2l9V46N4u1w7OwZthzynAXjCpBaPXCfnzgTevx6X/dGhEJD5zIY2RoljdBRB2Lct0NgqcSEruOjePAiTyOnit1deUkTAMGpfjwHRvwsa/+HEfPxk+i8O9ltski/QGAeX1JvO+NVwZ/K5cgw2vXLsCtTaKhf94WDqRhGwy2P78IAK+ptK4OV+fXr91cdwX+6r+8SjWgSjaj5nKUXCdw0tsGC9kI1bMkbZsoVNpnVYjdT69/s7M23n1zbyn1utawDjGYtfGb11+h/giJgx//+iacnGhfozruOtSOGM1LgtBnWr9uMNA9I8vFFMIfWPZA94VewlBKkE2awbNi48gC3DgyP3hWHAs9K4ZCz4p2ZS8uNpNN4dyJmU7Xrbn0aIFQ85Ihk8ngkUcewZ133okHH3wQP/vZz2KXGxgYwDve8Q7cf//9mDNnzkXupUaj0Wg0L28YI4ALLJvfpn6SFx1T7rHerRdDAxlU6i6qDmAxhsNniihWHQxkbRiUYjBrwxVKNKQx9W3iZqaH00n6369rvaiWAH558AxKNQcp24DBCFwO3HrVIvzTj/cogdDhsIyYVJJtqLsCv9h/Gj/eNobfe90qLPNShlFCUKm7+NxjO7oKgz5SAn//g+24/x3Xt7zXu6MuTEMcLNXaWxClbASwJVTgF94xrtRd1F2BHz5/BEvmZmc85VFQO2vZQz0LP2VexpdOfBlP559qBKAhUXVUWlJm8EB488UVGfSxITBIqPGVMBmEVOnoGKUq3V2c4EdaX+o0UHxHJIUK1JbrLup1F5Zwg+NdqDjIpUzVT9kQzhIWQ7nmxh/bbuJg5HcS+f2W9cP4zs8P9RQwTtlGIA66VnwKRg7gPJ9+wGSWoerF3XvwXhx3TngBNdnRKdXsAsywDP5m+d+o96Sqn5V38y3ONAaGLM3OiNBICAGV0xPK0zHiWq9HNLwHrhBKIAwJ5n4tT//2WHM4ntp5HDf7ooUEbE8M56F77ZlCFXVHObL++cm9+PDt69te553EwclQEiV8duyz4ODBfsXe0ZpFwuaar2hKvwiVovfuW9dizcL+Fpdxs/jf/FbQjy67yLnoGKSR6P05BQB7xsajAqGnzL1n+wdQ4EVkEkbL9RG+tzX/1mimcbayLIsHlqvAMPHGMa0ph2pz2xPlujfJhwbtvu+No/j41zfhfLGGD9+xHovapYz8xaGg3qUPJSpQ+djWoxjM2LjtqkXYuHZho/4sIVg8O4O7b12Lv/3eC8G+jZ0rIZ0wAne7X5MJUMHTH245Guti6+TKSdsGbJPhvt+6Dn/17eexZ6w1ABuk7jQZHFcEDr+1w7Pwvjdeif60DUAJiElLiYiW0ZqRwRd3uVApv9XnDU8hJCoZ+PlSDV/40S4cPJkHCEG2g5NXSImKN8EpbasxEX72ZJMmSjWnrbMyDoMS/N9vGEU22VtKve41rBvcvG4YJqMRv/Znvr+tRRwMt9spq4N2xGgud3xxUEiJYn3yxcW1ED4zEKI+i1uGQLXuqrIXQ7MwMjSr7TqXQw3IyaZw7oVe0nX30q9e0nlrLjxaINS85Ljzzjtx55134uDBg9i8eTPGxsZQKpUwf/58LFmyBK95zWsidQk1Go1Go9FcPExGUQHHmqF+DGTslgBbI8WWEvN6ERjm5BIYXeQHOAkcLvC9zYexyavJM5i18fHfvh4ul8il4r/shmem+64XPyDsd8H1BLNwX9sFc2sOx5M7j+PN11+BhMlQ5C42rl2I5/aewuaDZyCkbJvWqpnAOcIlVg/1B+nF/Ljqz/ac7Fkc9Dl+vhLUewr2xxOniCQwKYEZ84UrHMgO1ynzxcF2jjMZ+llzBZbNzWLj2gXB6y4H/n37GL7zi0MALlzKIxIUc+yOXyvrhdIL4JLDcVWgNSElEgaQM7LBXuXLDkyD4smdxzG/P4mBbAIGpXC4wJl8BQdPFbBkdgZrhmepQKhtxAZ1c0a2p/S6LYRmjvcZSlBOIBXabyV6VB2OCg0FpQkg7OkLWGHxbhZTTrGUbUTSWU2HmZ5LXRRFFL00jk2Xe4CAQFmU4YjoPvSxPnDJvX5FHWv+76/rfx3eu/C9yNAMZhkqKDTuqpR2fUZf1xo8FNH3cyx+QkWWZVvsk0Ga2pDrTwXzYxyiIXdd2HUXRpjR8VECUAmdbwlAhsYQrWVgmwxf/9kBPLvnJN7/G+vQn7YhhARljTqVe8bGkS/Xg/vf1hfPYqLigADgVhEAcPe2P0KBF5BlWTw8+rehLbZCQNBvqokAE64a4x/e/2HkuXIbFdwCBASKvAjeNPlENrXT+E36ekoM0X4kTIq7bhkN6nHKpkVcoYTQdpMuiCQ9CYXct2u26Y3L5aScXEfOFGNfz7sFTLh5OMyEyaKTWXoRCLumJ0X0uEqoiSKPPL0P2YSJO29YFgzt/rSNj739Wvxi/2msWtiH8ASMSMrIpm74aZP97Zwt1vDIU/vwzK6T+MPbRtCfttUzixCsXtiP11+5EE9sGwMAjCyaBYMql3+p2qjJ1GtdqThXTqnmIp0wkLQM/MlvXoXHXzgWm37OH3nphImESfGma5c0nvsA0gl1TvzJRp2ouwKUKKevf4y5kMhXHDzw7S04Pl5W2RV6HDIuFyhUHeSSVjCfxRcJMwkLdZej6nCIpvyozemzU5aqAymEBJ1kSj2/hrVtUIwuHsTSeVksnp3BQMYGoxRCCiyYpep4VuscEhKPbz0aSSsaptfLRTtiNJctoQko5bqLNJna57oLJYS3q0n4q4zJKMyk5Qlc3qRLPx0DUbXXGaMwO9RdvZhMNoVzL3RK1921P1NI560nbVxYtECoecmydOlSLF269FJ3Q6PRaDQaTQhGaeCou23DMB55en/scgR+iq3us2Bvv3ZJJFVmpe7ihcON9Ia3blgEApV2tN2XsGBm+tkiAjnLC8SGA69hAmHB33AT39t8GG+4ajGSpgHLq/lz961rce9Xf46TE5Wuaa2iGwIGMzbe94Yrg/0kIKhzjie2HeuwcntcLtGUJbTFMdlMxOAmScRR16X7EFLVxRrM2nhvl/3oJeXRWae3FJZTZZYxC/3oxz+s/HuIHqKnjivw6C8OReqAhRnMJvCJ/+t6r4YhiT3vM51+SY1RGaSEjBMOfMfKVIkL6hoxLt3J8J7tH0DeLQTXWNo2VPpK37UCADHpD5tdRQCQY1k8uOLByGtCSm+5hsBteCKI7xiccCdi3X/dHIEUFO9d+F6kabrn/Z0ODRmr5Y2I1HWxoYTgxdNFPPToFtzz5quQS5qQaNxrXzxdhG2y4JlgmX59zMYxLvACxp2893rY5dMZf9kiLwb1/Cb4RGxNyI4Ex7B1nDXze69bjcWzM0FqTH8hPz11ueai6kbvkw5XPyLpG6USXEib50LbvffijryH1KJhKl0EJs4FTEqD2nNcShQrTqQfzdecyShSdiOUJELp7sbLKvD40Ud+jprD4V/RwTFyOByXY2RoFtYuajguBjI27rxhmVdfmAOQrSkjveNGiPr8YDfVOlZuV4mth8/i41/fhI+9/VrlyPNEwje/4gpsOaSeKzd69aCqdR6Igw8+umXSNZmaXTlVhyNpGUhYBl67tn36uYUDaSyfp9LPhYVjVS+WwuUiMgEjnF712NkSJJSjdXgwg9dduRC5pAXXVenNAeALP9qJ86VaaKJK788AISRKVSeoHeqLhJBKiGyXhcA2WHAPt5jarjmFDAFzcwlsWLIcr1w5F8kY16HJKGxDOfYrUPWZH9t6rO2ks8lMypkJR4xGE8d0aur5z5y6KyCJG0xgmwpaCJ9ZGKVKGDNbJwVeTkwmhfNk8NN1cy56OgbTTed9KVO0/qqjBUKNRqPRaDQazYySsAwUKw42rl2ITQfOtMzGD1JsGRSOSzvWUhoZntXRUbdyQV9Q+D3RJX2VhJqZLqQKVKZsIxKf5SI+gNbOgXQ6X8XjLxzF2165DEmLgQuJXMrCx95+LT7z/W3YF3wJ664QrlrQh9/3hLLwzn7nuRdb3Ae90m5/wsJCTFci+KlBe6FUc7ByYR/e94ZGmrRu+3GpUx6F4vyTImEyjC4exBWes2HQczZYjMEyVUBROSou7JdY4m0oZamxnLIM1Dw94J799wTiCeCnFwIcIeB2OaeEAIxRpEwV8M0aWTy4vCFuGpRiVtqasoPQdy9JqVIEElgAJ0HaxuYrRgmDjb9cLuEKlZKobPLIciT0u/+KwXpP99uNDMtMWxycjJDVKhD2tidCCpx3zwMA7tr9X5HneRAQ9JmeW9FLBVmoOmqyhIdhUKSsRpBHSoA4CXxu9NONrRMgkzBRrDo4na/iiz/ahY/91rURVyOAFgGnmU669X/dczfybiOQlWM5fGHN5731JCihkeMoINAipIaUlzgRVR3b7h2zTIoV8/tAKYGUSkQTXpBL9hATDKdvTFkGKEhbkbD92VV9antfb0Oyyzlobo8gOtGg2SkJKGdkpI3Q5Bp/1ZrDWwSucs0Nnvef+u5W/Pe3XYMr5qpAt20aICBg3j2TEODhx3biXLEGg1J1T/Lqr8ZNUCBQ9Rv9NNgnJyr4zL9tx0ffdk1wL7AYw02jQyCEwDKYqqnrChAAX3xi16TFQZ9WV46EQQmSloFyzW2bfs4/apaXUcE0KAxKUecCpdCxe3zrUTy66RDOFWqwTSXQ+fu86+h53LxuCPlKo+5quL4UJVObJOK7F/1rmABBjUMpCQxKYDSJZxZjjfHrfc6YTDBXnV+C333tatR5I3jcfF/xMw2EHTGFSh3ZpIlqnaPWJNQ3xmv3fkzHEaPRdGImJohNxj3eCS2Ev/yYTArnyXDMa4/3MDZnKp33TGSc0bSiBUKNRqPRaDQazYxiMgrLpKg7Au++aU2bWflqOrqfpjDuS++8vmRHR93sXALvvmkNABXA7SX1iGWwttvr5hwK1yz0eeHQWbz5uitgMoq0baBUddCftvHRO78I0yQAACAASURBVK/FEy8cw0+2j+FsoX3QcTBr49b1w7hx7cIggOfPwN89No4fe+nQpsYUAglNqQtTlglGlYOwU2CCEOC3X7McG9cuDL3W236Eg6uOIyCtqHPsngNRoWs6ZFk2CNL4goFRz/R0pMp1F0mL4jeuae9soH7QtEkcvBDpl8L1Hn3C47PACy3HTVJ4uQ8l6o5AzXHRrDdQSpAwGSzGUBRqeRKOt3pj5HWjC/GVf9877f1Qwn5rvUbfLRgWcepuYyz6wgWnIrKWBOC4jZ2KuGKbiMgg3rifbgCuXbrQmW2rWT6Nxx8jeZ7HBJ8AAWkEVTyBMO/UImMgQRk490UlooKHPCQE+wKO/x8h2HtiAoWqgz4vLSGgRPSwe6wTcYc876o+x+3PpAkJcc2aXOBYbQMlQMI0wAiHKyTqrkCxUgclyjWNSZgGXC5QrDnI2GZDJGxahlHSsUOq1mv0tXYudwBYNDvTsU9dj2jMAqzpWeu2pJtscmRKtDx3y3UXf/6NzfjQ7euxdtEs2N7ECt+F+dMdx/Hi6ULEqRiHvyWXK3EwPNp2Hj2Px7cexS3rh4Pn9w2r5wFSuaD9VJZhQW2qNLtyskkLtslgMNIh/Zx6XtCQKOpyiYonck6U6/jsD7Zj3/EJMEqRTTYmz/j7PbpkEAlvghKgmv/B80diDtTkg6lVh8M0aKTeZFgo7LSJYPketsuFBCGqZi4BgcsF6py3nUDg10n293n/ycZEgoTFYDKKUq3hgg3Ejx4PwWQdMRrNxWBmpEGFFsJfvlQnUcN4Uu11GaBSNsTB6abzbs44o5kZtECo0Wg0Go1Go5lxUpYBzh30pSx85I4NLV8E/DRt1HOihJ0FgHIOdnKirVzQF3xRYFQ5qNohpaqBAyExry/ZVgAgXUPFrSLh8GBGpeLy0oIlLCUSSgA3rRvCzeuHsOvoOA6cjKYXGwqlTvGjVowS+OWnDp8p4uHHdkwzIDDFL06es8VPKWbHpBRjIUdW2jZgMIrXrl3YCL57AcVe98MPrr52ZEFLAD9O6LrYVOoudhw9j4/eeV0gRPvh2PBw8sUrRgksg17QWdkkJNQAreJJO3ckIQADQcJisE2VGtfhAswTN5U7x2uVtIoP/lXy6lXz8bM9p6YVWDcYDVLgRZx/siErSe8Yl+suXN64RwT9igkQ1ByOkqNcwqFdiaC201286oUJdwJCqr799bK/nnZ7nWoY+pMl/N/VX52vdeL9L67d5v1vdgVxITtoYI3tHjpdwPrFg6BU1SEcHkhjy4tnG9eHZwMNb89Pk5YzsvDvKH66X9K0X93qOk4HEnQw+gqBSvlIiRLO63UVCPvnJ/fiPbddOaVtCaGchxnbbHI4qj8Zo0BT5u1213L4fch4oXDVwv6mhVsdg5Oluf5gS+3eJso1N/a5W667+ItvbsZ7fv1KvOmaxeBe7V5A4rEtR2OeySRyrPzxFOca8/nupkO4ed1wIGpl/dp6hATb+uGWo5PY+/bEuXJ6ST8XTPaQQM3lkAAKFQcPPboFp/PViBO3+fgumZONnNJth8/hxVMFtZ8xgt1kEFLCFcoNGTwLOrTX/Fq34K2Uqu6v60qkE8ppKKRU7kHZOM87j53H/hN5HD1bQtVx8d9uW4u+tB08D1Tq+AaMqdqUpaoDQlT6eQmg1zvIZBwxGk03pjtBTHgTCzql+y/XXZRr3Us2hNFC+MuTxAyf66C9Lg+Zct2d0XTeFzvjzMsBLRBqNBqNRqPRaGYcQkiQgq4vZeFDt6/HT3cex2NbjgSpJv20V0okNFBzBXJJE79xzeIgrai/nO9E23roLH7711YEaUUZVdvpFIiS8FNMSSxf0Be8LqSMBDoZJehpYmVIwVq1UNUPKnr1ekRQN0169XCANcOzMDLcml7Mx2CqPpXLJWoOx+6xcTz82A6vDtPUaU4DNylCwUAJgEgCkxKYnniQZo20YWHnJiEN8WKy+/HYliPYODI/Ig5dSKQESjUX933tF0FaujgSJsU7N67CdcvmqPWaRMEwQsogJWu1zmEwgoRl9ORunQnC3ZJNdfjCyxDScH8lTIaEybwAfsPJ0s6VREgj5WV7h3B3KCFIe+6gyOUbI9o5XCBhMlArWveMCwmzjXDkChFcl6Q5ug0EteOaManp3XN6T8s36dp3U8AXyHJGLvZ+R2PC3/46fWYucA5SUDWGATTLTpSE60uqK7m55p0ftPfdlnWHQwiJPWPjWDs8C4wS1AEsm59Tgocj4AoBIVqPdyNtKUG/qYSscXe8pc+Acv/6++OLsdMlenWEfvPuY4SQ4Bmh6ukpt9mBk9ObsOBygZrLYRusZUKEQUnk/MqmJTo9pwKh0Ft8Ti6B0UUDHfvS/JzoZci3iu2hlZrGZt07/+0QEsiX68iXnWDs7To6jnPFmtdUQ75tFqiqrujqbj+dr2LbkXNYt3gAgJq8YTIaSU8Zl95sKkzVleN/FuJCBM+Pf/zRTpzJVyNTARSNK7da5xgaiKY73jM2DiERTFxqfQJMDs5Fy6SBkK4di0WsnsRBQE1ACptECdSEr5RloOZyVOu8JUVrX8oCJQQJQ4nthUprqmtGCVK2CSH8CQe906sjRqO5KHjjsF166XLdxdee3j/p7AdaCH95wZomb80U/jOIdbjnO64Iag7ObDpvcdG+X70c0AKhRqPRaDQajeaCQClBNmkGxcg3jizAjSPzg2LkvqPO9hx1y+flsGbYcztItT6lKlBfqNRBCHD/b18fCFC9FCvnQoBA1SCTEhhdNIDZuQTO5KvgXAapqgAvMN5DSTU/4BYNvhKUqi6e23cKVy0dhMUYUrYBSlS6LC5kTHoxCtOrPSQlIATH15/dj59sG5uRuFRcnaZJ0yQUhl9vhhI1S7/OOb793IuT3o+zhRr2Hp/AdcvnTrm7U6FUc9vW0ktaDHfdMorFszMtjjMpgW1HzmHP2DgOnymiUneRTZhYPr8vGMsuB4oVp6exOlWkVwstaTa+2kmowHzZcQPXK6NqzBmUQEoSEQqBxvkLetihqwSqvXYO4W4wRpExPSEu1Ac/wBV2oUogqLkV7hgjBIwCSdZ+NrRfJy4ziVnGaZbq6MjLGJngPCqRcfJXa7MbLix4EULQb6j7oN+PcXccEhIlXkKJT79+TLvae3bEie2la+USSRZ+FYBXUy9fqQdO8BdPFeFyqVISgmPNUD8GMzYOni6AC9m1HuHFZCr3V87VuZ4pt1nN4bAMCiKbLK6SwDaaDnhoOPbynPKv+duvXRLR6+JGa3O60FYbGFoOWKtY1/56aXH2xShWS+fmvMkVakO7x8Zb3PpCKHEvWotU9BQU3zM2jnWLByClci0zSlB1JAiUi2YmmY4rpxoSofedyHuTMYDQD0gJ1F0lMAspMSeXiLRx6LRy07lCpZG2TKpSNU/x2cOFbHt2Wzy33oIplmosE06F3WoGjbbnvS+kRLnmBiJuO4hXfzedMEEApGwzxjWpJrT4E2L8+1en49Gf9l2mHTev0VwUSl5axs89vgP7jrfer9o5tLuhhfCXF4wRwFWTt2YSv72WzxIhXM6RsBjGizX83utWgVEKLgTOFWs4fKaIgycLeOHw2Z5q3jen8zaT1ozty8sdLRBqNBqNRqPRaC4YhBCkbROWIVCtu3A5WmaD+/jfUU3PUefPWneFgMsNrFqgguaTcWU5XM0ubNT3A+64dgm+9OPdcIWAHXLdGIw26kp1Q0aDrwQqDeW/PLkXj/7iRbzp2iW4bcMwCNS+dHQ4emm2ao6rUvL1sPluDGSslln/06KH9GIVx8Wzu0/iiW3HApfoZHnxVAHXLZ970eIVnVyWhAB337o2EAfDbrLHtx7Fo5sOtcyCTZgMu46NAyAYzNq4bcMwNq5diLojwLlys9HpODubEELV9BBCImmqGn1+isaayyMBVoerH5SoMWkZTLk1Q+e2F3EQ8K7rLg7htusCSFsGCpzEBonD9a6aj3vj1fi/CUiLBOLXs4qILm371v3cPLTsIcwy1P1r3B1HhVdQFVUkabLrutOhxEv40okvzZhb0dd9fMezQSnskBBLQFBzeRBYb6By/9kmQzZhBk6dF09NoFp3kTBtGIyAc+BN1y3G//rJXhQqdZSqKgVayjZAa5mWvhAjer8iksKvk0hIvENyJml35n13F9Bwm2US009r5advNGlDmPfPiRk6Fi0Owx6fUyNDswInvn/6moNvlJBgkkx4ogD1Uj36rzdvKs59H0evAl6zyHX4TDFwahOounzFmoO0bcJgjavUoLSriAQAR84o0YyQRv0631l29Nz0BfcwU3XlCC+9qoTED54/EnELCaHc0uqzkIicj+ZjX6033PA1l8Myp3fdxE0M6nSX9FMDSylxzj03pe1JKVWksk20clyoMTDLGAAlBB+8fR2qXqaC8L0qdnJTpK/x2J6rflrWS41mhvAd+34t15mi19SQml8NTEZR8SZvDWTsGXHOD2Ztr1SG+u4eh5QStjeBMWkbXt1xxUAmgRXz+4BR9R36P/aewo9eONr1e0RcOm/N9NECoUaj0Wg0Go3mgmMyCjNpgQsBh3u17Do56gBAKpeFI4Sq5+a9P5kvApxLSCkCN4KUwC3rh/GzPSex61jDpeAHkGyT9ZQSc2S4Nfj6sz0nUXcFzhZqqLsC+bKDhEmR7OJeIp7LUEqC2zYM45Gn9/e8f+147ZVDXuPTbqojEioIyYXEJ/7PJpwv1qfV3vHx8sx0rEc6uSxfPzqE1V4KWV8gGC/V8Jnvb8POY+Ox6wRjkwDnijU88vR+bDpwJqiXWaw6yCY7p8TtFSmVOMiFRKFSB2UEnEugy2Ra4bm/HC6QsgxQkIZIOIlu9eoQ7k9bSvBnBAUZ2kCTOMg9h1DzPnajeQkCgpTNQOoNYafmtAqE/v1gutRlHR/c98FJCXe+2OWvU3ALwe85lsPnV31eLec5DT+4/4M4WT85s6lMCUBBkEuaXjrN1kVU+j+GLDMDQag/perCPvi7N7QMmrRtgBBVV1ZK/P/svXuUHFd97/vde1dV9/RjXpItaWYkG9kSkqxHggk4gBUQmHUgOI8D5OZxsi74EnKSQ8IB+66bmxDWOuTk3nXvwT6BQ0KAe23uyj05BGfdtYh5JNhHgME2AQSRkSVZtoRsvZE0munu6UdV7dr3j127uqq7uqd7pkeax+/j5dFMd9WuR9eja3/39/vDv/qZLXjNtpvxd0+dxHefv4QvPv0ifv31t2OopWZsmhutIAoJl2tBFKL3ehFyBznKwDQ1aLeZlEEU22zQu1klhEkguY/mu09tGBnCB94Wr5GohXPXk0DsdpSxBaL4XaMEKtN+59hlHTvZPJ+sjgJhyoeQMmnree+1uA6NWCaDAJYQ0cr2GqNdC50yad8d6j3livfOQl05UeRpGK/aWpe5E62xg9mWGGZfKtgi3THcC4P4CmFce+b35kCU9jO5p1jn8ItbXCgGZDR/x/trmAAw3/3XfC8g3YRYDtzIaEhi9SDCGuO+xMCeNe/ZtzlM6en+bB4oXUIjLSbXRIkPORbeeMcEXrdjA/7he6fxjS4pNAuN8ya6QwIhQRAEQRAEcd0QnOsv8vNEb5l+56GMhcX4cmSgoo43E1ioAHzgbbvxsUcPoVTzEq6ZjC3g+QH8LvaM1s5XBgZXShw8cg4AsG3TSFQj0erBtQToTr1KzcP+XRM4dOpKX3GNrWzbNILXbd8QrtsAUe2/KqWijmrPX3yPfOM6Rx5ZnGMs77SNyl5XzOCXf+7WcF2a4uDHHj2ES7O11LY4Y6kdiy9cmMWDjx3G/ffuw0jOQdX1ke8j8rITVdeHDBRmqy4+/fXn8Ee/8rN9ze/LAJWGh0LGToqEfdCrQzgaqS7NfO3Linf2tzoHfandMybmkYHBEQIjdjEhHBmG7QI25cYw58ooTq4o9D43IptS7bXsGFiivQBB5Eg0Yp1xyMQJEKAse69L1yoQzsrZhPjXrBCo/73QuIBr8lrX9kaskbbXzfaV/HKbABi5RlM66fWy03+P5mftooMvgygO1ixvXSGLf/vWXfjNN2yLtsosMXLOxVbAbMdDtz2EAEG0fgzN6FWzX+4q3oXHZx7vvqKDIGx30G6zRGdZ+GvCzct0PHZrHchu96ldU2P4wNvuwGheC7lm39Y9mXAdWoKDhfenhEDL9PnKmb6v+X4AtIjpfqCQic0jOgy06DX2rrXTMN/i0DRCWXM6fU5bAgm3Yxqc6SjkTsd5dsDRtwt15chQTD15SYvQuYyl3eHz7MPLpTrWFZsOzFtuKuAHJy9Hn7sMAthCLPjc6KuWccoyAqXwb5/7IEp++/WxGA5OMLN6foC6ly5Mm0Fjw1YRn9n9icTuncMsgszgBk+UFYvuVQCwzl43sLYJol9uZDQksboY9LOmedbNOunSkrmme1J1HJGnwou7GRDmCIF3/fxt2HPLuq517BcT502kQwIhQRAEQRAEsapRCvjO8Qt4w45NkW1oNJ/BR999J/7yH5/Duem5RIxaPmujXHNTI9w6db7+w/dO42q5gfXDWdx3YAcAXSOx1+LptuBwbA7XC3DfgR148LHDCyriHl8+WHKkfFEU+24PgI6hDP81zRXCthLBg0otqtYRgGadsusxoDn80N+4ewJ/860XEm+9ec+UjqaNBVZ+6mtHOoqDgHHjpHOlVMfDB4/jQ+/Yq+tCWUHPx0Yanh/A9XSH6MMHj2N6gZGuQRCr0Wc2dAH7PtUhHOh9x8M2u4lQrOU104/Q8AM0XL/tXHzT+N34/S3vQ97KgYO31ez781f8eSjuNYVG3nJctoqDBsFE1F6AAA3ZQDWoLnmEKAB0qmcYFyo7vd+93QCsQ0SnQtC55UitiomX4e/SqbStUw1AFmMJAZWBReK5J7Uk2Co+djrk0kQds0wGht/e8Nv4Xvl7CBAgUEFX91HzupRs0fw1bM3f+Tpot1mXtY1+FrM2Gr7EWCGDSt3reJ+6aTiLe199S+Rsj3Py4ixu29gUkBm027MsYy+Yf8P2HEvfv5Sj4PqBFhjDhXlhzGXS+ZkS/tujKBUXuRiAqXUF/Mvpq7pNpYVn015SzNQuZl8qyCC85oT3KcFZ5Ji49SZ9vzLxzoyxZefKMeKniSjloRN3PifhT35aiiLeAGD7xGhCcI+LqguhZ/FANZfQuqSSX8asn3TfWoIDMtkdWe5BEO20W9OOv4VAXipiuXGjoiGJ1cdSPGumPeua2uiuZ75fKhw5M43j55o124ccC1vWF7B9YhS7N4/HUj30TfyVE6P44C/uxSe+8myqSLjQOG+iMyQQEgRBEARBEKueo2eu4abhIbxyYhQIo9tG8xn8yTtfhW8eOY+DR87hSlk/JDEGFIcczNW9yKGR1vlqYlGePz+Dbxw5j22bRqIoScEZch1GVHYi51iQUtd0u//efXj44PG+Rne2Lr/1kf/jWz/e1/r0TNhrG3cVokNk4XxsGs0Ncs26YjoUX7d9I7574qfRvs5YHK/ddjOAZgf3E8+e7RgrCiBRv62TQPrChVk8eewC9u/chLrrwx6aJwu0C3XPhwLw5NHzOHF+Rkc6LrAtXwZo+DqCs5tY0wucMTgWQzzvx3Rux9dPygCeDPRxGttfRhxUSmGu4aVGFAqISBxszpUOm3eK7jAwZEQGH37+w/ChnS3DYhgP3fYQgKbIWPbLmJW9nauccYyIdrefWV5fLPYDGzAMPNqGa36L49EClEiXOSWAa7LdlRkXHVrbHLPGsMHZgM9u/ywUVEfBd5AM2m2W9tEFSrW9nrEE/tdf/VkcPzeDk5dKODs9h4brI2NbuGk4i9s3jUQdbK28dLmCz3/zOP7s118Lx+YIWiZS0Y+U9QvvcY4l4FgcNVdql7cCXC9AJlbfrjUStTn//BiRi3MGpYDbNjTFWtdvCthp7THoDm5bdP5sbtswDIbQNRk2slxdOXVPRvtSi4SWHijhyVTx7MWW2Nvdm8exfjgbdfoupu80rUZlJ8xxFAWJqu5ztMbSapFX9XzMtB9rDL/33AdxzS2Ff6fNE5++/X0hOPLh97Zhq4iP37ZE35kIog9uZDQksfoY9LNm67OuqY1uBqc8efQ8Hv+XM3jpylzbYJcfnLwMQAuO996pn7H1vUSLhFvWF/D+e3bhk1/9cdu9bKFx3kRnSCAkCIIgCIIgVi3GJTA5nsdnHz+KD/7iXmxZX4ichAraQfbG3RN4vrXz1bGwcWQIWzcM446WzlfTZXbmSgV//8xJ/A9vuD2KWhGcoZDtv84cY3q+Sl0/uH3oHXvx5LELePzwma4F29cVM7hn3+bE8vMLWH43lKndg1YBrFkvslL34PpBKJQZJ0d/63Drze3OxKVCRyTqJ8v4SNrdW9ZhyLFigifw2KGXOrbDGUMuYx6ruq/544fP4O6dG+FLHf3Wb8eMUroT1ZcKDApPH7uAQtbWtd+iNdC/9eMYrXpzcCwFZjp1F/ABKKXg+jrGUHCGubqPuYY+JqbW5UNHod7jlYaPiu/B4hyFIR0nGHUwq2TnQisFK58QBwOoNjEqTSzqOe5Qyai9UWsUDAxZkcUF9wIAHefZKnMF4X+90LcIGC4zdT7WfH+++eej5Je0TzFlPwVBU4Cb8bRQ/v4jfxjFqhrX1qbCGP7i9v/ccRuNIzDqAMKy0zjTCVdw0G6ztPjGmusj3yEuccfUKHZMjbW/odKF16NnruG/fO0Ibh7JIJ+1YAuOepjgGHfqpqHC/xkLxRSlawTZgmOu4aHh+cjYyUEOjDEIBhhdX3CGXkyXL14sgTOGfMZCpe5jx9Qo1hcyuFJpoBGrR9jcXzGHaqxmcbKnUNuW1xcz2DHV7pRZrq4cI0JrkRAAFDIWh2PxVKfksbPXUPekvmcpLbDde+cteOQbz4ftLHx72mpUdsIcLOithqBCu4AaDSRRva1z6kADUUM5KGuna4prXbUfHhGcMxRsG2Wp32BLP96AIHrmekdDEquXQT5rtj7rxr+/z1ZdPHzwOE6cnwmX23mdrpTqeOQbz+O7Jy7hA2/bjdF8Rt9LQifhm+6YwMEj5xPzLDTOm+gMXQ0IgiAIgiCIVUvcJfCVH76MT3zlWbz/nl2Rk9AIWUCXzlcAgAJnTbcTZ8B0pYG65+OP3/mqqEPcsTlyjrVgcY5zHZlmoln279yEu3duxPFzMzh1sYRz03OoexJZW2ByPI+tG4exY3K06/L7rZ+jo0L170EYE2PqI9kWT4wWVQBKrotK3UO5puPBPJ8jl7HAGfqKHF1XzGDbpnRn1VLBoB9y4yNpX7HBCGt6m4+cme4YwWPx5rYC83dsXik3cPzsDHZMjYViKoMfBAiUgi14R8Ew3ulq1teTAf7oX79Kx3iGdbYAQDHdQf253Z/sFh6ZYE5W8ciFR/BM+ekFCTbmmLGFgAwUnn7+Ih595iSulhsoZG38n799l56uxTRpWxzKLDBc1arr9yzmLQXx49WcVzz8bymXyRWPltW6/KIodhUgOXgkCA+LhTmigi4uvLj8ZI6psixjxmu6l4YyFirSbhNPHzj5AMqyHF1TVKuIA5UYeGC2s+yXE9MqpTCVnYrcm2bfmJqF1/xrXcUJU0OyV5pydvN8GLTbrFUkUQACBcw1/LZrpxHCbKGFI3PacK7jMi3BEQS6VmfDk3ji2XM48tJVvONVW/BLP3dre6Sx0tvoB8lIYHNNFILD4gxKmVhOHRdsWxzDXNdSdf1Ai0is6TLLZ/X9C0B4PZtfIay5PvJZC1bMKXPPz2zGIwefT1wLoutjywWKJX8k6OSUWW6unLTIU+PgVKGrtJNT8p9PXMIbd09GEW1v2TuF7564hGPnZlJF1TjDVvpAkribjs0jEKpQIMwg39O2QrVHPsuYW7zXe1DbdExH8kbu8/lEzfB9S+jvNTwsjkv9zcRy43pFQxJrg6V41gSStdGbx6j+ntfLgKFj52bwsUcP4aPvvlOX8ghFwl96za04/NLVhIC50DhvojMkEBIEQRAEQRCrljSXwCe/+mO86Y4J/NJrboUjhO5UC6e3BItislo7X81DiIJC3ZUoDjkYDmMiLcGQDd0Vi4UxhnzGhmMFqLs+fAnsnBzDzslO4uVgl2/2RaAU5upeov6b5wdQjooeEk1n8ue/2ezI9YMAlbqHQtYORcLeHAGmcxWsf+fhQmFMuy3jI2nrng/OAD/USszo1zicMWRsEcWKmrY6ERcuTl4qYcfUWMIhV2tI1CBTP0cjvpnmTVN+0JT/utWn64W8yOG+Te/FP5e/my5ExZo3btK5WrMemjlPBGeoNXzsvWUddkyN4h++dxrff/Fy6jIZY3DC/Wf2j+sHUb2xfopK3X/yfpRkKRLXZv3Z2HaYhox7zTjX4hvVnHRzZnMkQl0v4qJeURQjMcvUQjQxmt3oVwBrpRfnTycswRLnQpySLKMiy/OKvrxFIJyVszGJLhyg4GoBciEuzH6oBTXY0m573dxHXL/9HOkktHSCMYaCbYHF4pgVAGH5yLF86PBTaPgSjsWjLZaBQi6jxbRWuABkoPfOm/dM4s17JlHI2tH1JP4RuH7QseabJ/UPc51zLBEJ+eaaX8zaURxqwonFGAoZG++86xX48qGXcfqnnQX/m4azeEcYK+ZLBYtrV0BF+ti/axO+9dz5KNrZ1LEEehdw5nPKLCdXTrfIUxZ990j8MO/ivx85hzfs3BR+zvqc+cDbduNjjx5CxVhGO+y0v77jE6mvp9X/nI9OnzNjug5pXAJsa5t1/57QHGAQfxHtYjHTtRvdLrGshuZ9vOlE6aAzE8QNZ6mjIYm1xaCfNVtro0cCdvgVvNcBQ5dma/jUPz6Hj7zzVdH3P0cIHNg9iUefORVNt9g4b6IduiIQBEEQBEEQq5Y0l4BSwMEj53H4pas4sHsSd23fgKHwQVlKBcfmyJporRgKCg0vgCclGLS4YQkOe4lqeNiCqMaIKwAAIABJREFUwx5yIIMAngxdHjHriGDa5THI5Xt+gGrdAwA88s3jOP1TXUw+LhL+ymtuxetfuVF33oerM11OjmQOlEK14aOQtdCLHyDeuXq9++ZaR9LeNDwEzhjKNRcyUDg/PQeLczAWOmvCYyrhM+uw0irWmaug6yyd/mkpjOMMoJSHhhfgxPkZ7JgahS+BSs1DLqM75U0b1+R0W9sBU0Cm+fc1OZd8v8fIS7MNeZFDXuRRDsqxDei0TYjqc8Z/NyITY4AjBN7187fhZ1+xPnK2xLEFAwNLLKIRG17chz6IkiyhLMtNgVCWEEQdEUlRIVUgjKZkUWxmnHiEaNp+jbvN5mMxQtxywmwG57qTCUgXyXVNSS1I2TGha9720f4ZecoLBWoVORlnvBkoKLzv+d9BSZZSWtKf64itO5Mih2aXFeHg+PS2TzfnZwxCMKjwPvLlQy+3zdNJaOlE3DUZxwjwhrorUXcl/uuTL2DjWA5b1hewrpjBaD6D4SFde9TEDntSJs6zjC3axEEjPNa9+Z26gVKouT48GYSdyUmHFWOs/agPT9yf374Rd23fgOfOXMOxs9dw5koFNU9iyBbYvL6A7ROjibqJrucjYwtYXN/TXF9FItel2VoYd9k7vThllpMrp5fI005OyelyA1/6/mm8666tMBfb0XwGH/21V+ORg8fx4oXZvvbdQsRBQAtu0X+s+VoxawPSSQiErQ7CQtZuuzbWQpeqXikkokyjllT6fcIxsawxh2wQunIFZ5FbNdqXJA4Sy5yljIYk1i6Detase3owyreOnseJ81q4Dk3ZUNDiImesp4SQY2ev4Ylnz+qahOEAybu2b8CXvn8arh8MJM6baIcEQoIgCIIgCGJV08klcLXcwKPPnMKXvn8ae7asw603F7FlfQHjxQyytkAuYyWEQ08GEIKhmNWuQXadnG6CcwgOwG6PFhv4sgRDMefA9SX+xzfqDs+q6+OLT53E9178KQDgaz96GT93+82RWwFAoiPX4AcBGmFNwm5Ro/HOVdvmN6TTIj6SljV7v6POQi10ps/XiXhnZyPmZpitedH7ntS1Gz/51R9jXSGDe35mM954xwQs0XTsAAmD25LR5syI/ZpwkcoAfhDg//nmcczMecjaHJPrCrj15iJ2To7FxED9VH/7xhHkMzr2LU6zo0GBgyOLHCD85Dql9CMMW8VIvO8kyuku6qQYtViX5aCIC4xGrOok5prtFEx0FXwZWBS1aTCRm3PBHCqygoJV6LpenDHdKdQHltDnjT5VOokKWtCruT6qDR1RaYURljwuRLDkMRjVPY1P0PKJNlvvHifY7yUlL9qjEuP3kaNnr6XM1R8drx1pajqAwy9dxVPPX0y8tq6YSQxyiQszjEG/xvQ1fMi2EKj0GpPz4csAlYaHQsbWoj5r/zSi1Q9/WELHid2xeRy7OkZ3xzYZDHXXhx2KOgC0yPXuO/HpfzqKs1cr4bTzf5j9OGWWiytnsZGn3zhyDnu2jEfx6UopjOUdfPjeffj20fN4/NmzuFZxUXV95BwLlpt0vHKGyC1q6OU7jjme4sbGQd2nhhwLru9GbXY6cnWtKjOVntIMPrFCMTB9bta8zVMfM7ECWKpoSIJYzLOmlAF8qb+LPf4vZ9DpqSVjC9Rcv23+NL586CW8ec9UlPIz5FjYs2UdDp26vKg4b6IzJBASBEEQBEEQq5r5XAKuH+DQqcs4dKo9CtGxeCQebts0jB2TY+Eo9MVH+i03VGwofj3m5Mo5Fn7t9bfhBycvI1AKVzu5Fd59Jz71tSNRJBygHWFOF9fQcos8arptmhFo2cTDctJB0wnTaRoooNrw4QdNcWco1p52EkrUPYmLs3X8t++8iNGcgzfs3ASpVBQjaATW+198IHJJVV0JP3RXMAYUh8JIRKaXPeuVuopiw9YwPrf9s/EtS/wLNN1GgIoEm0oo9B15+RrKodv0R6evolTzsK6Ywb1hZKDuMNYioeAMuYyFUqBbL4oiAsuC4ByvHX4tfvPm38QQz/Yk4TEwjNpaDJv1dQxla43AYWsYrR3CCgo1WUNDdR5pn4aCQsWvYNZfePxgWpuDislsSxyMMRfM4S/P/RX8HmKdgFAMUL1JqVnHAmPNGM5e+xs9P4A+amJuUYaohmb6bpl/b8WP5TQWe72O30d+4w3b4PoSjiXahJb54EzX6TP1zoyTKl77tVRzExph1fVRbbR3qnUb5LK+mIVSusag6wUYsnU7WOA4kyDQ9WgLGbtpCk+5aJiO5+KQA18GekBBirvR1Nczs7pS4u+fOYm9t6zD9olR7U4M7y1//M5X4dtHz+Prh8+mOusMC3HKLCdXzmIiT5UCPvv4UXzwF/diy/qCjkXnDA0/wP5dE7h71yYcPzeDFy/MYveW8TDe2USos2RkrRGAu2xLa73SuEjPWuq1KhZAseT0qfVxEzcffYCZ42D+7Vfagc6bLvaEqKhY4n6YcEmSVkKsIG50GQKCMJjnAlfqK/rxszO4OFuHDLRr27F4WDdXX40di8PzeeKZqBOXS3UcOTONPVvGYb503HpzEaWau6g4b6IztDcJgiAIgiCIVc9CXQJGPCzVXLz6tptQbfi6/tJQe32qG8VV7+pA21MAlN3sSLPcInKOhVzGQiUUhNLcCqP5DD7yrjvxxLNn8eVDL+FyqY5A6eg7W7BE0OhyjzwyMWQyUJhaV8Dhl9ojPjth+jIDpd2BUZxOqL9uXp90cl0u1UNBVmLIsbBtYhRzdU/X3MpyNPymkFKW5SgCsx5I1MP3GAMgjcASCoRhDbf+Njy2HWiKFnMNv6XqVRJfBggChcuzdTzyjefx3ROX8L/8ys/gpuEh3RHLtMAyJnQk0Od2/xcopkXYEWsUHKyPdW16A0etUSgovLb4Wjwx80Ri/VpbY2DIiRw8Xx/DaY48Dp4qRRWsAopSC0FFXmybxsTq9QIHb4sk7SQ+mmk+cvojuORdMi/qf8J/51wfOeTx2d2fRHyC9z3/OzjvnoeETKxbu0jTAosFv6bE9xmXmmMxNKR+hS/haas1ZoVWkXCp6xCmEb+PGCdtWi3ATgihB0EYUTCxPSw8B5QelFBz9bltHNzdYrlaB7lkLI7/7bdei6wt4IY1PV1fQkoVCYT91kw0ZJSlxSXWPH6KIr0twRk4E8hYQKAEqq6v1yFGzfXx3ROXcPDIOVwtN/DMiUsJkYtzBtcPcHdM5Bq0U2a5uHIWG3lacyU+8ZVn8Qdv34M9W8bBGYNtafe6EREM+nNQkBJwQ3O3MCJCD8f0jJ+szWuOTz2AYxS9B0QPDteXKEsPGVtEA3vMJ6IYwFTz81ke3zQIYuHciDIEBGEIAgUZqOhZCVB47uy1RFqIDBSsoeQgUfMs2UvU6InzM9izZTyKGd22aRivvu0mAAuP8yY6QwIhQRAEQRAEsepZTi6BZU9Po/WTbgXjJFQA3rJ3Cm/eM4UjZ6Zx4vwMLs1UIQOFrGNhagVFHgnBAB/YunG4zzn1/qs2mjW+4rt0+8RoYuqf/LRZN23freuQtQX8QEUiTcOTgI22z0ULE705w3oi5qiIi4Pluociz7ZMm/zTj3X6KwU8f35Wy28sKUKZJUQxiG1BoL0Ql5p1G7+x4TfwxMwTXWM4jcOwNYqzlTTh6aGtD0ViHQPDqKU/w2v+tajNxTjUEuudcvrNBXMo++XEJLqun0TN9SGtICY46n9LsgSZcnzE955K7sqYsBp9QG1OosTn2UOtsqU6r40LkzM+r7gc/8w44806fz1oGEHoJtZCd/M+gvB4eubEJXzruXOYrrgd2xgvOPiFOybxuu0bUKl5EJwhn3IfkYHCXBhB/Ndffw6nLpUT15Fe2b1lHQpDNizBUXUlGFTCFQ70XzMxTmv9uE7o7dODRBjTAmu55uGlK2W8eKGE0z8t48cvX23WmYMWuf7mW8/jQ/fuw6bRHADAaRG5lsIps1xcOYuNPJ1aV8BYPoOGpwec2ILDscTARQRzzt1/8gGU/TKqrg9fBiiKIj4XDlYw17VZr4RZ2b4N7ccRw4jV7/02iTlXTL3B6PVYTrZxrzZ/J4iVy/UsQ0AQgH4+qNQ95DI6ulzXVAdeupys4R0ohborMeQko6sLWbstXSWNM1cq0e9CMOyYHIsG6t7oxJnVCO1RgiAIgiAIYk2wXFwCS8UDpx6I3GULIUyS1DWKWH7eDmTjVnj/PbsiJ6GOotS/7tkyHkbDNEWC+J5b7pFHtuCoQWLH5CjGC5mu0XYGE4XW8IPowTfet3/TcBa7N48n5nnxYlMgvL1FjPRkkKj/p9H72RLaudX+/sJIpLsZd1rD0x2rbR9Ru7ARJ5exkAlrWU377e7LKJ6ONUW2hTJmjSHHc8iL/KKO/2WNahX29P6ue7Jvn05rhGyn9+drl7UIyrE+97b2FuP2M5db1SIDVmUVOZHru70orjD8xw90BKYZAd8au6iUQrUhwbgWb1rvIz+/fQPu2n5zT/cRhe73EVtw2LEY0wcfOxy5tvvhjs1jyDkWvNA9+MKFWWzbNDrPXL3Toit3hTEGSyDaXwCwZX0B1YaPuutDBmMd91fN9TGUWTqRK40b7coZ1GAmc002x9lSiQjG1V4P/MjR3hof2uqYNgRR7UANb7/R9I3gPIxPNVHhDI1wIAUAWIJHMbnL9KscQRDEsqbq+pCBQhDo+tLme1VafcGGL2ELXWPX3AUYA/JZC26sPnsatXBgk+AMhYyNQKm1MVD3BkECIUEQBEEQBLFmWC4ugaUgHj+5EIxAWPE9+Gz++hCAFgk/+dUf4013TOCXXnMrHCGigvJNsVB3uDPoh7yVEnkkuH6g9SXw1n1T+MJTJ3uaTyF0/aHdjHnvq29JdErWXB8/itW+fMXNSYEwPrpWfzwqEZ+ZcSzUUmqTAdop1VonKk5ctOFM+/gKohBzpwVQzAes+eMI0zp/dQ2o9Af4bm67AEF3dYolO5JN53PZL7e5VBhjGBbD0XwAwFXvx51Z/7hLrVMM6UIx69+tzYSmZYQtqSJXTFrfynDMicPAohhIptrrg5k2zPGVXL9kW802mx9TJ3EwmpZpx6sRrHpBHyPJDYu7TT3lYdafxZ+e/lPMBXNd2yrwAj5268cAAKNCX+v/+4/P4vHDZ3FtrrPzbyzv4A07NuLuXROABKT0UByyl/Q+slgH2bZNI9h/xyZwpmO/GIAXzs9icl0BOcdK1Ey0LV2nTkeBxtxWSgumMlDw/PbPLIpwZL25CRe6vxxbJNq/nk6ZG+nKWYmDmYTggNefo70fobkbZruHrWEULTtmgA5jez0fjqXAOEPB7BfWXSAchFhJEASx2vD8IBrsc7lURy7TlJWGOrj65ho+8lkLFmeJb3WOpQd06EFaum6hGWQqOMNYLgPGmt9PTL11EgeXBhIICYIgCIIgiDXHjXYJLGf6DnxUwMEj53H4pas4sHsSd23fED4k6lplluDIZ6yeO5Nb6VTfaiH021bWsVCpedi/awKHTl3p2lFvHnp9qfRo2BbRZtfUGN6ydyrx2pNHL6AR64C/aTgZ5WnqRBk8P+m4yFgcns/aHHwA5o1qK4piJNSNhfGLD93WjNLsJ9aQJeSidB44+UB6zFzYEWvi6Mp+ed6o0MnMJB687cHoNQWFAM2YzajjuZtFrhNd3u/khFkoCgpzsru4BWgnjAwUBGvWapwvmulz2z+b+Hu+CNRuYnLqOmF+YTBOPmuh4QdouH5Prte04zd+zJrI0D+79c96+kzix3XV9fHFp0/N686r1D38t6dO4genruC+AzswknNQrjVFwqW4jwzCQWbcu0ZAPjM9hy8+dRK/9vrbUMhYcGwBx+osdHPGEJqwoBwdH+Z6Mvrc0q43vUD33d5ZKYOZzBFktYjMPdNBJWSMJQY+mN9ti0fuZbO4UVvHRn9u9yfbrgVRnDB6i0Q21IM6HObAVZ0HEBAEQaw16p4elPjk0fOYGM/j9o3N2P4t6wv4wcnLbfMoKMzVfeQzFizBwteaWILBEqLt+rzlJl2znXP9PLmYKH9ifkggJAiCIAiCINYsVLujHcHZfFpPKlfLDTz6zCl86funsWfLOtx6cxFb1hewdcMwhpzwwW8BHYgf3/rx/ldmQNiCw7E5PC/A+968A3/5T89hukMnvQrtXQ1PgvOkq+vm4Sz+8O27Ew+/rgzw7WPnURyyMVf3o+icRJvRD03Dl1C2ajojAOQz9oJiCLsxvzaYnEBwNq95pCzLqMhKogOXhf8BsXpVcnZegbAo24VeE+FonKvo4mDsFQWFGX8G73v+fSjLMhQUJpwJPLLjkbZpexXYWp0pQ3wIQxhKuGCS6wDMubJtSxYq0gwKprND+yJjcWQsB75U8KPR4go8rO/H0B5POEgUgLm613cs7wsXZvHgY4dx/737MJJzUHV95DN29P6g7yOLdZDpeonN9uqexLMvXUUxZ+OXf+5WKAU0XJk8X1owddpMM24g8Y8/PIPvHLuI2zcN4/1v2QXBGYo5p+/to/tu7yx7UTW8DjDFkLEFuly6U+nkIjSDDzgDYiVum98l2qZvf9XMthDhcogPISdycH0SCAmCIABAhpHsCgpfP3wWB/ZM4vaNI6YMfVuN9TgKCpWGh4wlkG29jkfRM/EvIwy3bRwGgx5oSq7BpYcEQoIgCIIgCIIgIoTgQHpqZU+4foBDpy7jUBid+Qdv342dk2MYylhY5imtqeQcC8oGhnMO/vw3XqNrb8j2HnXzimrpbTcOytZOyqrr4z/+xmv17w0fn//m822iT6svTymFuicxZFvRu4wBhawdm6g3ixyLCVWmc3XUGgMUUPN81N3Oil+14aMaiza1BAN60Cjb3B3zRGv2TxhPBGAw4XV6HUuyFLkfh2W7s+0z2z4zkGUBSFltBZVSBzJ+nFX8Ocz5VeStXFoD4GCR465TxOiMNwuw3pSzqqz25HyMEz+WzWjx1vf1uqZfJJRKvmdGko/b46nTN+drCmCVhgcZOgirHaJ5O3GlVMfDB4/jQ+/YC9cL4FjBkjq1FuMgax1oMDxk4w/fvkfXioUWYecbBKBinXWMATYXuPfVt2L7xCieef6ijiKm/rrrxnIWVc25nbEEuOz/nDCRcmntFrM2vEALo4FCopPY3E9m/VntIu8wSKP1ntwLgonEABaCIIi1jomJP35uBtOVBn5yqQzsBsxdYPfmcawfzuJKqd6xjYYv4ckAGStMMmDxNIrm9XZdMYMdk/o7iy3oOnw9IIGQIAiCIAiCIIiok8/ibGAjNRfzgLfOXjeQdVgsel/oDnXOGAoZG64v0YhF7qXBGUPWEVHcXxxPBlGdQgDIZSy8542vxMtXKlhXbMaMCtHuzGt4ErbgsDiPKhIyFus4Vek1AaPtCX+kfhomQjBFADVUGz7+3ydPJCJILcHBGbrujwABSn4pEfXIGW+LkgwQdO3QDTrUxzS1EwEsyKm6GG5E7JE5LgFAQuKvXv6/8Ptb3heKhIMhzd1TlVV8/tLnu7o8W9vQxINo0wX2tE+tbVB5n5hZXV9CyjBe9KmTfUXoAvp8vnCtimdOXMLrtm9A3fVhD/XvnuuXxTjIBNfxw7/++tsx5FjhvmxeHZQCjpyZxonzM3j5SgU118eQY2HL+gK2T4xi9+bxyBkAaBXnlROj2LJex34JGtFPAM0TVwG5BQqYSnUSnBkszmBxbsyKBEEQxA3AFhzWEMcrN43iw/fuxbnpuWign4L+6n3vnbfgkW8837WdQCk9ENHTzw9ZW8BqGXB1z77NYGCwKHL8ukECIUEQBEEQBEEQUc8bUyxV1FoIq+UBb9qfTr7AADiIOtyBVoGDIWBAFUC1ReDTQpYCMs3XeKOAXMbCuelKJKgCgMU5gHYn31wjrOUREwnjopofOi5koKL1EpzBElzXFlMs1UFUqroIlMJ//sqzOH5uJnVfzNV9KKUwPOQ0U4EAZGyBWhfXod52FUZI6vXqt+5dLyy1ZmFiUlnMldcPrY4UI9d0et3UKQyYSrhQBWcJ0+Y3pp/Ek9NPoWDl25Y5bBXx2d2f1PO5hWhJgVIIMtoJ+IHjH4LL56J1kUGAuYYPITjyju42YAyYC+Z6FgejbVFaoLOjuncpH5KKuXCh4PmBjtQNX8w6AqrPy5IMApSrHhQU/vf/70e4Nuei2vD7Fgdfc/vN+LXX34acY4EzoBgKg0qp6xZ7tRAHmRAMectCPmuhEp63hieePYvHDr2UOtLf1BBaP5zFvXfegrfsnWpe6xjD+rBW6g1OuSWWEQxa4GNhXPBCXHup0aHznF6z/iz+/cl/j4qsoOyXY9fN/pc7bA0P1g1OEASximBhbXnHFrh94whu3ziCrKOdgHVXou5JvGXvFL574hKOdXiGiKPQdCXmeTMifdumEezfuQmArgVPXB9oTxMEQRAEQRAEAaDpInSsxYt5a+EBL15XsReZQM3j7vvJT8uJvy3BIThrk2OUUgmRELGahABCx0WakNAc5dup49U48cq17pmhrgyQiR0nGVvA8wP4g1ANWrNVe50tFlG0VLJNSZYw7U1j3B5fUPxcp3nSa2gpTLvXUPLLcDhD/LRME48lJGb9Umr7aR3nKvZ6TVVQlZVoXRq+RM33AR+oKUsPGuhy3HTCfCR1T6LmycjpJjhLCJ6BUpCBipxyqsWh6oj+By14UsvRx87N4MzV/iJRDZyxSBzU6wn4QRDu/+WNI2LXhnB/zsw18KmvHemp8+5KqY5HvvE8vnviEj7wtt0YzWeAsFYqW+hJSqxOWJhQHLrTGWM9C/Hx+2jyxbZf2y7sCkqLg7Ic1q9tvcIhMfigubwODRIEQRAR+jtZAClVNOjQ1I9mTKeaOJaIUgpcT+IDb9uNjz16CJdmaz0tI36rWD+cxX0HdgAAHJsvaZQ7kWR1PqkTBEEQBEEQBNE/8U65BboAgNX7gPfAqQdQlqGI12HXRA7BFupuANdvCjrDVhGf2f2JxDQ/fmk6ivkD9MeRsUVqeT+lFCp1DxlbIGuLSGDq5J9gcSGzg4mLMwapFLasL0Quok7oTgGekAnyWRvlmtt1vp7pU39gbT8HR7wWVYAAD559EL838Xso8EJf7XDGm7UAw/ZM7OqINZKYtuSXMBfM4f8+8zcoWHnYjGNIWM3PVwCW9OatJQfoY20+hGCh3qjXSwZNWTr6rE0G4AJEQsYYgiCA6yugDwci5ywS5/pdronKPXUxXTTthVzGipbvO/rcLwVo7osBMuhYZc65jvJqSIABM5VGX512hmPnZvCxRw/ho+++E2OFDOquxFDGuiHRusQypkN09Yg93HY5TxPpOBiKQl+rOh1b5v15UZ2H4sRjixmaBRBJ7iYIgtB4foC658OPlRxoxpOH30QVIJVCzfWRcywMOQIyUBgrZPDRd78an/raj3sajGTGh2zfNIL73rwTIzkHIv7dj7gu0N4mCIIgCIIgCCIiUaOOMQjButaka2XbphHcd2DHsnvAu+pd7Wv6tAjJWX+2KRC2wNHs0DROQT2aNkDD83uK42v4Et8+dgFv3bc5ei1jCVT8LvN4Ep4fIGOLULBLUf861RxsQQgGLwC2T8wfnRkopYUCp+nsYmH8Ip9vYb0eTvF2epxnKcTBolVMNPzDyg/xuyd+F3nRHufZjYIo4C9u+wsAiI6tPzn9J5gL5vDQ1ofCOi7NDc3yLH5vy/vwe1veBwAJxx2gO2kW2qkdK2GY2GdhYC282DkfKAU/ULA561grcD7yGQtV14cvexcHLcHDWE/W8zEcR4Yn3dnphbkHVwNSBnD9AADDp//paN/ioOHSbA2f/qej+ON3vgoNP4BjKXCL3FdECymHxGe3fbbn2RcvOqueBk00pwYQOmEIgiDWOkrpWs2up7+rKSgcPzeDUxdLOHt1DnXPB+cMG0dzUa1iUxvdFhz5jIW5ho+xgoOPvOtOPPHsWXz50Eu4nBJnbtgwMoR7X30L7t41EZVEKGTt6xbhTmiWx9M6QRAEQRAEQRDLg1hHPANQyNhwfYnxgoNKvXPs5LpiBvfs2xzFiq65B7yY4GJG1Hp+/zX2vvrDl/Gm3ZNhPGDY9DxuziBcXt1j7RGODBAd89qSOLZA3ZPYvXkc64ezqfXJ4jR83SlgCRYJVYxpJ2G3+M0FiVo9HEbX80gLEERiMQfvWyzsBRbbiwqqrebdYly+ieW0nKOuH7S1K2UAexGxmpwxFDI2Gr5Ew5Nd4wc5Y8jYolkLNRqwsLBl173utTH75fePfQhS1BYUudpKURTx8a0fH8yKpWC2/cmj5/HylQp4H9GPcThjePlKBd8+eh5375pA3fNhW86gV5eI0e+gln4ZtGP1RsPAALWQ4GcASjsYo7bWyvcWgiCIkCDQySRmcNWTR8/j64fPYrrSANAcUOFJhacblwA0axXfs3cKhSEbFucoZC3UXYmGr2sSvnnPFI6cmcaJ8zM4c6WCmicxZAtsXl/A9olR7NkyHl1zHVsPDKNr8PWHBEKCIAiCIAiCIJK0PJc5lsAf/erP4lg4ivTc9BzqnkTWFpgcz2PrxmHsmByN5Izl/ICXiAntQkEU8NDWhwAAgdJCX9nXdY4MjDEMi+HEfErpzvSFCjeXS3X83VMv4r1v2gHGdHtNNycHurgJlVKJCEfjwFJAVweWEZoEYxCcQQYK9955Cx75xvPzru9cw0c+a8HiLBkh1/GjV5HYw6+rpLdwOOPtzpZwY183/Dq8d+N7exII465Uc6782a1/FkWMsoQkGC4mKqOlHZtZx0pMESiFcs3rSfQx52Pd85GxtTNPha8Ni2LTwej5cKxkexbnyAmrqyhWEAW9BfHjPz7aQGlHrGNx+IGClEFU08aMGheCw+Kx/bBIcRAAsnb/9Qu7UZZlSAxGIFxKZBCE8WAKj//LGXAGFLI2qg0fftCHk5Nz5DIWOAO+fvgs7t61Cb7U7YsVUIuRuH7scjzLAAAgAElEQVTMyTlUZRU5kevbDRi/Ps43r7kn14Ia5qR2CA9bw91mmZeiKEbLHREj80xNEASxejBlC2SgMFt18fDB43jhwmxiGjMO0hIsGmwUr1X8B2/fjcnxAmzBMeRYsC2OasOHDBT2bBnHni3jqctmTA9uzNp6HuLGQAIhQRAEQRAEQRAdYQxhBz7Dzskx7Jwc6zitJRiyjrWsaw6WZbkngRAAWgMcVRQcGr2QpGn3Qj5jo1z3EPSSLdrCj35yBf/Tm8N6erGyb3nHQk1ZS+rAymUslGse3rJ3Ct89cWne+iEKCnN1H/mMBUv0UgNwAVmRyxQO3rM4mEb8WDKd6p38LwwMWUeg7vkYspuP8ZwxFIdszDW6x3eaVmuujy997yf4N/u3I5exMBvO8uDtD+p16hJb2hpxmraOpoP/mn8NQEvNMBWr/yUA2F0baztme64/FmLE7qnxPA6fHpwbSzCGwXoSlwYvPB6On5vB9JyuDapFQgsNP+jjOtK8nk9XGjh+bgY7J8fgSYVeL/Xkhls4vQ5q6YWldqwGCPD5S5/Heza8BzmRW7LlAPr6+beX/hZBHzVNrwcyCODJAFKqyIkDmAEQDLbgJKwTBLGsqLp+JA4++NjhrgkiDLo+es1tjlg8dm4G/+GLulbxhtEchhwBi3MUh+xoEFva1w3HEhhyBLhJPSFuGCQQEgRBEARBEATREca0ZFHM2fBk6PpRyqiG2nUmeBRtudZhsR/FrI25hhe6eHpj59QYPvCv7oDnSSDT/ri2VA4sxrR7zOIcGVug4Ul84G278bFHD81bt0xBodLwkLEEso4AY/pBf1DP+gICBVEIN4dFTrX4+xPOBIZlu4OkYOn55nOkVGUVAYKeRagAAfIijyExpDuoe/yIjXAWbwcKqKs66qqeqGUJIBJwbE+v13/44g/wW3dvw+0bR6CAhFNVx0GdwZVyo60jRgu4HEOOwNtftQWFbLs6p9B5Mxb6US6lGDEfQjDAB7ZuXJyzKLXdxSe7LjmmduypiyUAxikMAAoZi+vriFSQQXgdUXpAguD6Wm6J+FnWPJ9PXSxh5+QYpAyAAbsziXb6GdSyHPhO6Tt4uvT0gmq0Gtf+uJ3uNDHM+DNQUPjn8j+Dg/dVd7ATTMVivcMjf771iOP5Aeqe3/F+LwMF+EANckUMpiIIYm3g+UFUc/Dhg8e7i4NhQkTG4vB8nkgjuDRbw6f+8Tl85J2vgufrxAvH0s8UdVe2PRMIwZAPn3NIGrzxkEBIEARBEARBECsUE7Nlfo//Pah2DbquHahDeD4YwIxiB12HseEHaLg+upkJOWP4zTfcjv27Jjo3zUz7DDZn3WvCLSCa0cQHDTkCUiqM5jP46LvvxKe+dmReJyGASGTYuqGIXIq42efqAAAOjB7Av5v4d8jzZmezYCIR1TlqjeKRHY90WF5vS1RQqMoqXOX2tX5G0Fuoi4WD97RTTAd4pe7jr/7pOXzwF/diy/oCTA6tArB/1wTu3jkR1Xp5+UoFNVci7whsmxjFbRuGsWNqFACL6hmOCd0BLgOFuYbXsaM9YwtkLaGjYVfIKG9bcNQgsWNyFOOFTFRHZ7EIzgC5/Du0jHvp7PRc9BoLLwpK6ahfWzDYovs1vTUq+lzYnlyAKrOS3HDEwonXaO2Hzv7lhU13PVBKoer6UQe7gsLxMI79bCyOfSoWx+5LoFLzlnUcO0EQa4O6p52ATx493xYrmo5+WshlLFTqyYj7Y2ev4Ylnz+Ite6dQbfiou/r7xreOXsDkeB7jxQwszsEYsL6YRcPXwmHWJnnqRkOfAEEQBEEQBEEQxIAx4pxSDBmLI2M58KWCH7p1RCyOs5C1YQmOX9g1AQWAc5bq8IrXPOvWPbrQmm26k1IBiiGftTDX8DFWyOAj77oTTzx7Fl8+9BIup4wsNlGEE2M5vHXfFPbvmhiIiCQg2sTBpYKBISdycP3+BMJW3v/C+1HyS6nvcXAUrWL0O9BZWOTgKIgi/tPW/9T2Xs2V+MRXnsX779mFV06MhgdF0wHWWuvF1LA0WJyh5koMZQQYGPwgQLXhd3Xh9BYf22Q5RD4aF5wvgbfum8IXnjq56Da1Rs/MLyuCutceiGoECZX8Yd7tmgQctbcAjWalueGI5Y1S+nhspBzjfWPpjm4WtttLGnYQNOt2AcbFfTZ1MIKJOR4vZKL7pOsFkNJDIWuD8xVyQSEIYtVgahUrKHz98Nme5jH10TvVNf7yoZfw5j1TzRIVjOHkxRK++LT+DrZt0wjuO7ADrh9AcB2TT9x4SCAkCIIgCIIgiBVOgABlv4xZ2cvIz+4wxvqu9UW0EOpsDKaGox5BawkGK3Tr5IUViWgmZowxHSE65KQ/pg3yc+nUlhEJOWMoZC3UXYmGH+CefVN4y94pPHdmGi+cn8WZ6Tm4nkQ+Y2PLTYWEO22hAmUrBVFIFQelkm1RnYvFCFrmX+OibQQNLeyl7K/WqFMAqPiVjgIIY9p5BswTedqD8FJzJT751R/jTXdM4JdecyscIaLOGMTqCDIGWJyDcwbBdf0rTwaouxJzZQ//+KMzeOrYxa6LHC84+KNf/VkwMBRzNsQKcrtkHQuVmof9uyZw6NSVHkfHd8YIaytnDwDZLq5vlvzRX3sraScQqxZfBl1rafaK6rMNpZri4GzVxcMHj/d0fZmuNPCFp07i0KkruO/ADozkHFTqHopDNjkJCYK4riRqFfeRsmCiRtPqGl8u1XHkzHQ4UE2Ptrj15iJOXy7hnn2bsX/nJgA6jaGQpevecoEEQoIgCIIgCIJY6SgdazWQ2K3lk9y1sjF5nTBCIWvuWmVebU7LAIzkMtHbvpRwLJF4cL5ecXqm7qQCMJSxYFv6wd+TCru3rMPuLenuMAZEtZVWSgxlNxQUCqKAT2/7dOr7Jt4UaNYWLFrFxQsnxsiJZidM6vop4OCR8zj80lUc2D2Ju7ZvwJBjQYWfnxndHf8sFBRKVRdPHb+Ig0fO4Wp5/g6hd7z6FgAMYgXWGbUFh2NzuF6A+w7swIOPHe5aX6cTnMWiNleIe1BwBhkoTI3nI/fSIJgc16L9ShKKidXLoL+yJO7TXQ7xqutH4uBCrisvXJjFg48dxv337sNIzkHV9ZHPkJOGIIjrR2ut4n7oVtf45MVZ7NkyDs4YHEvgTbsncGDPRDSojuKVlx8kEBIEQRAEQRAEQSwF4XMvVxx5kXTCxd1n5vFYQcGXCpwzZGL1OHqpo7cUNZmMUGgLDltwyEDBkzoiNQhU1H8qOIMQHPZ1EJB+54XfQdkvY8QaSbxeluX2nmLWdEqmOfa61TCb8WeWts6VSvwDIN3IZeJBhWBRR04rV8sNPPrMKXzp+6exZ8s63HpzEbumRnHbRr2PAqUQKAUZKHz76Hn812+/CNfvrWbitk0j0WjvbAdn63In51iQ0sNIzsH99+7r2eljEIIh51iYDXfZSunOEoIBPrB14/BA2zXtCbGyxGJi8FwPV/t8DPp8ZG2/tOP5QVRz8OGDxxc06AAArpTqePjgcXzoHXvhegEcK4gSBQiCIJaatFrF/dCprvHlUh2MMXDGkLUFHIujXPOiQYR0nVt+rMxv+ARBEARBEARBJBi2BtMJzMAwLAbbobyWecPwG/CeDe9BTuQSr8fdZwZdy6/9oXncHm977XpiRvjqiNQb+1Bf8ksoyVKb4Dfrz7YJenFhtWukZwoL3eec8fZlddMZVfuvRihksb8LGRuuLzFecFBt+Mhl0h/lL5eq2LV5DJvG8qg2fAjGtLdYAS9enMXfP/MTOJaAY3WOnQSAasPHeDGD+w7sAKBHe6/UDh3GdIxVpa5Fwg+9Yy+ePHYBjx8+09VBua6YwdtfdQsKra6eFaIQ2oKjBokdk6MYL2T6ig/rxLpiBjsmR8P2V8iOIJaM6+Vq74bgDIMoQdgPdc8HoGsOLja2+IULs3jy2AXs37kJddeHPeQMYhUJgiB6Jq1WcT+01jWuu37zb6afb4Zz9opLoVhLkEBIEARBEARBEKuAz2z7zMDa6ldMIdLh4KniYCsUsdOEgyOAdmb04pw0sKgAX8trN5IOwqCCrl/V8ANIGUQOTIszMMU66omOJfCn77oTPOxg0SO/tY9TcKYF3HjnS0xklIHC7ZtG8H/89l09rbofBFBKi0yCawfdSoZzhuKQjarrw/UC7N+5CXfv3Ijj52Zw6mIJ56bnUPcksrbA5HgeWzcOY8fkKLjZgyvwFBWcwxIMvgTeum8KX3jq5KLbvGffZjDoY406+ojlgBAcA1UI56kzKoMAvtSR7l8/fHYgi3z88BncvXMjfKnbp3OLIIjrSbdaxf1gBrgNOVZUhz2Kub/R38mJrqzsb/kEQRAEQRAEQRDLlLzIR+JgoNojHU3dukGwzk6vC3ijGbVGUZVVDIthjIiRhMuPgbXFysX/LogCBNOdFlLpDmABEb0GaEERwPJzvarmSGoAcKVEw5Mw5QSVau4JT+of2kEqkLFEc/4Qo38OZaz5hVPW3rltYp4ankTQxdHIGZCxBRzLgYLCXN1HIWvfeLF1ADDGkM/YcKwAddeHL4Gdk2PYOTnWcR4hGBhbBmLzAsk6Fio1D/t3TeDQqSuLcjuthrhZYjAsp/uNxXWMXdChVmu/zHeme1Lfy4+fmxmIKxfQMdHHz81g5+QYPKmwQs3aBEGsMKhWMWGgb3UEQRAEQRAEsYIZs8YGWi8tHn1JTkJisTAw5EQOD972oHYGthTdMwJfp3nNsWjE1KJVBK5znFzfxMTBQClUXR++nL/mX6AUaq4PTwbasRfbV6YepHlp2p/uf70YAMesmzKrGqu5xRAA8AE4GAdj2nW3UsWxTtiCwx5yIIMAnlSQMoBUKtoZgl2/mppLjS04HJvD9QLcd2AHHnzs8ILqpa0fzq6KuFlilcH0fSJjC9TCSLtFNtdst8N1z9SCPXWxtOjlxTl1sYSdk2OQMgAG5OYhCILoBtUqJgwkEBIEQRAEQRDECkVB9RXDSNx4fveF30XJL2n3nKXdcgsVYouiuOgaUFe9wY0YTmPMGgML/+PgSxPVOI/QeL2Ji4OVhoegxbKnY5c674ggUJhr+BgW7aL/IMQ6HQHVPUZvJbvmekVwrp06q7wzPudYkFLXX7z/3n14+ODxvpyE2zaN4L4DOzCSc1ZF3CyxejBXqIwl4Mmgp4EYnRCCR9e8blc+GV7Pz07PLXhZaZwL25MDckISBEHMB9UqJgz0zY4gCIIgCIIgVigz/gwYGD586sOoyMpA2iyIAh7a+hAAYNweH0ibRJOSX8KsnNXCbvjcvJqdmpxxKKUiJ2Aa/YjcPPxv2WLKAgKoun6bOOhYAkOO6GmbGW9Oo5RKFeweOPUAyrLc1/p16n4uiiIevE0LzqtdHFxLMMZQyNqo1LVI+KF37MWTxy7g8cNncLXcuTNwXTGDe/ZtjmJFBWerJm6WWCWw8H+lhfC0ARm9wDlDLjZQoJdjvD7Iuofx9kgfJAjiOkG1igkDCYQEQRAEQRAEsYJRUKjISn8iQQ9tEmuLvoWmLrQ6G3U85oBEBdMhvEwxZ07Dl21uFgb0LA4mGutCWZYH9rmR7rN64VzHxVZdH64XYP/OTbh750YcPzeDUxdLODc9h7onkbUFJsfz2LpxGDsmR6Nj1bE5co5F4iCxrCiKYiLSeVgoVD2pYzp7RAiOnC0wbPUXsZcdsPM4ao9OMYIgriNZx8JczcMv7JrA0bPXcOTlawuu6Uq1ilcu9GkRBEEQBEEQBEGscQYpNK1plBbYG2nuEqbVTQUAbP4ObBWbRkFBpXTYBCpAoNrbWs2uVGJhMMaQz9hwrAB114cvgZ2TY9g5OdZxHkswZB2Lag4Sy5JOEdtK9TbMab645zQEZ5CBwtR4HodPDy6ie3I8r9snEZ4giOuILTiG87pA9f/8yz+Dq+U6/vbbL+J7L/60r3aoVvHKhgRCgiAIgiAIgiCIHmh1GDAw7WBAuiBTEIU2t5ipx0dOnNWLH6gFj74miKXGFhz2kAMZBPCkgpSBrnumADAtUAjBYVM8GLFC0a514yzU1+Lw8DYTLNioJwQDfGDrxv4ch/Nh2hPUqU4QxHXGXC85Y1hXzOLf/MI2/ODk5Z6/y1Kt4pUPfWIEQRAEQRAEQRA98Jltn2l7rZtTi4FFtfeu+dcAAEWrSBFiqxgFJOLtVPTD/JLsbJn1S6kOQAAIAhW9Z+qNgml3jHm97JcxK2cB6E7xYTHYTmti9SI4h+AABhyVSBBLzTp7Xcf3IvdgjxbCfl2EtuCoQWLH5CjGCxlMVzrX8eyVdcUMdkyOhu3TFwSCIDpz1RucczmNMTGOdYUsfmv/Nnz1hy9RreI1AgmEBEEQBEEQBEEQBLFAWqM/ZaDQq4EwUEHHmp/x16PfVfvr8feIpce4hpdbWwRBxN2DTedg9EvYZ81i0/aL4ByWYPAl8NZ9U/jCUycXucbAPfs2g4HBItcuQRA3mtBO+LrtG3DX9pupVvEagQRCgiAIgiAIgiDWDL12yHNw1IM6hvgQBEt32DDGMCJG9PQ91nzjjFN9uFVEe11Aihdd7XSqe0YQxPLBdFI3Y0UH13bWsVCpedi/awKHTl3BCxdmF9zWtk0jkfsmS7F8BEH0yAOnHhhY7fCiKEbfbThjUFAQgkFRreI1A919CIIgCIIgCIJYM/TTue8wBzmRa6sjSBDd0B3TJBISBLF4yLGaRNfODCClggya11nBGYRgsAVfcheeLTgcm8P1Atx3YAcefOwwrpTqfbezfjiL+w7sAKDdN9TBTqw1lsP5vFIpy/LABMJWGGMoUq3iNQUJhARBEARBEARBECm4yoXruz0JhOP2+HVYI6IfOtX2S3s/XuuvU+RnK+NW+mcuOIPX4zoSK4dudc8IYqkgx6rG8wPUPR++TL8+y0ABPlCDvC6OlpxjQUoPIzkH99+7Dw8fPN6Xk3DbphHcd2AHRnIOBGfIkXuQWEMst/OZSIdqFa8d6A5EEARBEARBEMSqhzr3iUFjSlr5QbKDy+IcgLwRq0QQyxpywxH9opRC1fXhenoQh4KKamKdjdXEmorVxPIlUKl5S1oTizGGQtZGpa5Fwg+9Yy+ePHYBjx8+g6vlRsf51hUzuGff5ihWVHDdDtXtItYCy/V8Joi1DgmEBEEQBEEQBEEQxKqlJEsptQIBqKRzEAA+fOrDqMhKx7bidVqMQuh6EggHVw+LIuAAlvTQukjGgKKwwz/0m0GgOjoWh63h3jaQIFYI5IbrneU8qOWqd3VJ2zfbHgQKlboXRQ8+efQ8vn74LKYr7QLc4dN6ncYLGbx13xT275qA6wWQ0kMha4PzwYsKnDMUh+xI8Ni/cxPu3rkxEjzOxQSPyZjgYVIJSPAg1hLL/XwmiLUMCYQEQRAEQRAEscIhVwaxmjCdzwwMo9Zo4r1ABfNGh3IkY6iUUgjQnMd0zsaFOfN7RVb6runiyyASCB+8/cFomWmyH2/pCJ5vWwiCINYiSinMhWLCbNXtOcJzutLAF546iUOnrkQRnpW6h+LQ0rj0GGPIZ2w4VoC668OXwM7JMeycHOs4D0UmEmsNpZri4HI+nwlirUICIUEQBEEQBEGscMiV0T/XywFBrF5M31RxyME12fqeliE7CYUEsZag6+Hq5IFTD/Q9oKITCXc2tEHbiAkPPnYYV0r1vtp74cIsHnzsMO6/dx9Gcg6qro98xh7IuqZhCw57yIEMAnhSQcoAUqnIaS4YgxActmAQnIRBYm1Rdf0VdT4TxFqDBEKCIAiCIAiCIAhi2fHR0x/Fx279GICm046BoavixoC8yCdeClQABRU5B82/g4zwHBPjSBvMHiiFmTlXL5cBo7kMAEAxvT3XvJmOEaNGZDTUZA1ZkU2dNr594Qt6+ejdoRh3M8ajVxUUCTwEQbRRluWBCYRxlBHWADx88HjfYoLhSqmOhw8ex4fesReuF8CxgiV37QnOITgAWyzpcojljxaLA0ipolhNQNedFILBFnxNiMWeH0Q1B1fa+UwQawUSCAmCIAiCIAhihUKd9otnKR0QxOKoBJU28eyvt/31vPNxluww6ifGc74I0/h7Zt0CFoCBhUaRpkjHwMCZ7gT0ZH9Roq3iYFVW8XeX/w7v3fjevtohCIJYaZir/tMnLvYUQ9iNFy7M4sljF7B/5ybUXR/2kLP4FSSILnh+gLrnw5fpg39koAAfqEGuibjZuucD0DUH6XxePObbYUEUep5nTs71NWCMWHuQQEgQBEEQBEEQxJplqRwQxNpAQWHGa3Z4xYW9UaFrUEkZ4Mmj5/HU8Qv44399JwAgyMwBAN5/5A9R8svhvEDWtmBbPPqbAQDTnTt5ke9ZIDQdQSVZ0m6c3jYm4Ryk+j4EQdwQwkvWN4+cH0hzjx8+g7t3boQvtatrLbi2iOuPUgpV14/ccgoKx8/N4NTFEs5Oz6HuSWRtganxPLZuHMaOyVH4EqjUPDg2R86xVt19VwYBfKmgoPD1w2cH0uZaP59Nbe6Htj7UMYGilaqs4vOXPo/vlL6zlKtGrGBIICQIgiAIgiAIgiCWHVVZRVVWkRO5NldgJxhY1HliOk6u+deglOrYRgDtGpwL5nChcQESMnW6sNGW+E0t8hmRecQexl/f8YmE+08B2L9rAvt3TSCfteEHAarhulUxhwafg8U5LMFQB1CXLCEOLgZdA7G3DqT4dAqqe5QrQRDEEuIHAa6F8cyL5Wq5gePnZrBzcgyeVFjFZi3iBhEECpW6F0WJPnn0PL5++CymK422aQ+f1jWwxwsZvHXfFPbvmoDrBZDSQyFrg/PVIxKa9ITj52ZS98VCoPO5f3Iih/dseA+eLj1NTkIiFRIICYIgCIIgCIIgiGVHgACfv/R5vGfDe5ATuaVbkALmgjn81fm/gg9/nkmTIpqCdqHO+qXm60ohXpCQMUAprfXZgsMWHHWp3885AlKK2LSxaNHV00dIEATRF53iGRfKqYsl7Jwcg5QB1QckBopSTXFwturi4YPHe4rSnK408IWnTuLQqSu478AOjOQcVOoeikP2qnESyvA8PnWxNM+U/bHazuer3tW+5+knPp8zjpzIIS/ylJpCpEICIUEQBEEQBEEQxHWiKIrLsq3lyndK38HTpaeRF/mepi+IAh7a+hCAZufJ+0+8H2VZRtHS+8s4Cc37ZV/HzHZ1DnaAAakdeUop1DwfWVuEtQh7aYuRJkgQBAFETqxBce7/Z+/eg+O867vvf37XYSXtaiVZDo4VKb2DEqdSKPFwCAM0Ma0fnEw7yRN6oH246bTBd+9CIeXBONB26ITQlv4BtmmZIQkp47pM7064b6blmbRTGhenj4mT4Q6hIyhErW0RntjYsSWhw2q12r0Ozx+rXeuwknalXe3her8yjrWr6/rtz7H2kN/n+n5/k/m2zn65LZeBMqWzXjEcPPrUiMZnMhWdf/bStI4+NaLD9+1VdzymdNZTos2t0Wy3V+F5fGHx+VctPJ+B6iIgBAAAAIBtcmTwSL2n0HQCBRVd8Vyo8iv8PuPPaMafKVbkrQwIp/3psttwltLm2FJu9f3ZXCDPC/Ts6CW9cfA1isdW/++3WRoLmmXfKEuX0yUp/2e1ZK0OjUOV/WcrjAUA9Vfdhf9Mzq/FsIi4nBcU9xw8fmq04nCwYHwmo+OnRnXo3tuVzQWKOYHcFuqdWXz+VXu8bXo++0GgnB/I98NlFy/YlpFtG7m2VZW9EB8ae2jDz7tLL25b7/Ndl9OlL+754pbnhGggIAQAAACAiKOycfNijiXHtuT5q9s9BaH0/7zwI/2v58d0x8279N/eOSTbMsUlnTAM5QWBwlByHUsrupNuaOXiz8p9FitpQYVo264FUKA81a2nbi+0IaRMG1WUyeXbkp/+wY/Laiu6nrOXpnX6pUvaN9ynTNaT2xGrxhQbQnuV24Bu1/M55wXK5Lw1Wx77QSh50rx8ObZRe8zZUrA7689eCwhXbAVd+KMW9hDc6sVtwFIEhAAAAABQYzvdnfWewrqobNyaeMxRaqFEGeGirBdo5EcTymTzV72Hsfyizmwmp3TgqbPNza8EGbGAjW213QugQDnscvoyV6C/N9+m2m6Rvd1Qf34QyPPzuxE/PXKhKmOeHHlFdw3vlufnx2/2izJsy8gPQg30JjTycuX77K2l1s/nMAyVznrF6tBQoUYvTmns8owuTM4pk/PV7toa6E1ocHeXhvp75PlSaj6nmGspHnM2v49kIRhc+ZZcYriw9N1AxQgIAQAAAADYLCNZxqizzZUdVLaYZ9uWOl1XljGSWX+hZ86fU9pPK27HV1UK5qdh1O10F7+WpClvatNXmM8H82q32jd1LhpfXRdAgQ04dnV/tgZ351so24TbqJLcYteA0YtTmkwtVGXMidkFjV6c0nD/DuX8UM3+42rbRvKuPf+qpZbP5yAIlcrkipX0p3/wYz09cqHk33Eh9OztbNPdewe077YblM0F8v2cOttdWRVe6BCG+V9S/j3ZC0L5fqAglOJtpSOcwic83o2xFQSEAAAAABBRjV7Z2AzM4r8sGSVijozK2xbHSNrdsUOzvnMtHNxghefJq0/qv+76r+qwOkqMV73lobSf1pNXn9TB3QerNiYaRz0XQBEtliwl7MSGx3XanctewxzLUn9vXBcn0xuem17wFIRrv+ruTLZpqL9HkuRWOXhEdPmLVddjl2eqOu7Y5RkN9++Q7wdSlVtzbjfXtjQvX0P9PertbKtKkFrL53MYXntvnE5ndfzUaFmtYydTC3ryzHm9ODaug/uH1B2PKZXJKdnhVnYhzeLL2ILnayHnF1/XLGNWJYH5713rS081IbaCgBAAAAAAgM1aDPfCxZUZY/LL3Il2R54f6s03X6fpdFbd8ZjaXFuObZQK81e9H7vl6CYf0qyqDAwV6ie5n0i6thfhR8c+qpSfqnj8OX9OCTtBQHU4xzQAACAASURBVNiC6r4Aisi4s+tOPXD9A4rb8Q2PNTLqcXoWv877g196g+YX2zKvJ5319D/PnNf/Pnel5PcP7L1RRkaOberesnEiV702i6Vw0c/2KVxgcWFyrqrjXlwcz18n9G4WtmXJsY08X7p774CePHN+y2PW8vmcznrF98ajT41ofCZT0flnL03r6FMjOnzfXnXHY0pnPSXa3HXPCZf8PYdhqNRCruSe1iXPzZ+0mBEaQkJsGgEhAAAAAKAlWLJWVdIZmZIBRiFkM0uvzN7AmlV6iyGhMVLMxPJtQGXJtaX//s7brh22eHqPesp7wHWECpX208qG2WX3Lf095ac0689u+bHQOuqxAIrosWSVHQ6uJebYyvpBsVJrLfGYo1/72Zv17fNXV1US7unr1r7hPklSe4wlUFRfJrdxiL2p8Zo/H5SUf96l5nPad9sNenFsvKwLUtZSy+dzzguKLbePnxqt+L2xYHwmo+OnRnXo3tuVzQWKOcG6+/aGS35PZb2yw0HLWArCoHiyZVZ/9l35dafdWXKspJ0s6zHRunh3BAAAiAiuWgbQyu7sulMHrz9YrEL5iZevpks6ScnPL1gvZRb/6bLL3xsnaSfXrZayjKW4HV8eJBZ6ji67q3RoWamkk1/UKSwSLd1zMO2nNedXt7IBza1eC6CInoSdKIaDxUXsDRRes5cKHSm0109KnGxS8ZijeJujVCZXvP+6rnYd3D8kSYq5VkP9jD409lDVLt5I2kkdGTxSlbFQufYqtwEtjtcipWCubSnmWsrmAh3cP7SpC1Ok2j+fMzlPUr7l9lZCTCl/Ic3ply5p33CfMllPbkes5HFhGBYTwjAMFQblp8LdzvqfXZN2sthNovC5+NjgsU3vS43WRkAIAAAAAGhqhWqVDnv13nzVVqq9Z8HScHDSm6zpPNa7KCPtp3Xi1RMKVN7CPKKhHgugwFbkO+eZZW34yrGnr7vYCte2jOINVj04689S3d3kbMvID0IN9CaKe7VWQ39vfs9Ou4VaN8djjnw/p+54TIfv21t2a+uCWj+f/SCQ54cKFerpkQtVGfPkyCu6a3i3PD8/fql2qMXqwRZoJ4vm1ljvkAAAAKg5rloG0GqWVqusFd4Vw7IqrMMUqg8b5UrsKW9K0rU9B+f8OcJBLFOvBVCg4P1n368Zb6bk94xMsSK6UPWiQnHN4sts1gu04PkKw1BdTlKPv+4vVo2zM9mmA3tvLLYhtC2jznb2yUT12baRPGlwd/ldCMpRGM9uoIrXrTIm/zxMZfIh4aF7b9fply7p5MgrmphdWPO87Xo+5xbbeo5enNJkau35VGJidkGjF6c03L9DOT/Uyr9OPwiKF5Rt9EkyDPPv3UZGJlz/56Lwn2Zp14zCa2qv21vRnwHRQUAIAAAQMVy1DCBKKmkhWouxtuOiDPYc3LyotN+uxwIosNSMN6Npv3TVkCls5KolAaG0PCQ0UuiG8oJQC7KL3Zsd25JtGf33dw7plr7u4qJ7zLUUjzmEg6gJ17Y0L19D/T3q7WyryuvqzmSbhvp7FsdvrZ9byzJKdrhKZz1lc4H2DffpruHdGr04pbHLM7o4OadMzle7a6u/N6HB3V0a6u/ZludzYZ/TsculL2DYrLHLMxru3yHfD6QVrWhzfqCYbcsLNr6YK5Q0n/XVEbPX3gsb2AICQgAAAABAyynse/XZwc9WZbxli9YV4KIMNIJ6LIACW3YtN8xnhKGRaxm12baMyS+VJ9ryS5u39vUsBoZG7TGnofYcROuxLUuObeT50t17B/TkmfNbHvPA3htlZOTYpiUrso0xSrS5ijmBMllPni8N9+/QcP+ONc/Zjuezv7j334XJ6u7bfHFxPL9EC1HfDyVb8vywrP0ms56vnOdvGJC2ubbaHLtB+lugWRAQAgAAAACASGv19tv1WABFa0vayWW3LVnFVs8JK1FscVeocO6yu9aufjHXxlvvYow5b06+guUL6otft7c5cls0WEFjao85Ss3ntO+2G/Ti2PiW9nbd09ddbKXZ3mB7Zlaba1tyO2Lyg0A5P5TvB/n3kMVKYdsY2ba17c/nTM6vzXgl3h6DxfdkP8gHheUItfF+hZ4fqM3hYh1UprVfcQAAAAAATWnl4vN6Ou3OJXu55PdpsYxVrCKUWb4fy1LFY9ZhjFGP07M4VP5xprwppf205vzqBi5RkF8UDOT7YTG4kvL7C9m2kWtb277IH5VKz+1cAEVrWxqCx0xMcTu+LABc+posSV/66S9ted/WtJ/WiVdPaGRupHiftVhR004FK7aZa1uKuZayuUAH9w/p6FMjGp/JVDzOdV3tOrh/SFK+lWZUql9ty8q3pm6Q5261X0OK461b9FfdN0/eirEZBIQAAAAAIquSEGo7x4IqqsAyuhbgzflzxYXqzbYFLcd8MK8Tr55QoI0DRuTlvECZnJdvqVWCH4SSJ83Lp01gjdRnARStpMfpUdpPKxtmi/etDAdrJW7H9cD1D+jw2OGaPxZQjnjMUeDn1BOP6WP/5179j2+e1dir5V9sMnh9Uu+9a4+6OmKyLaN4i1cPNiLbMvKDUAO9CY28XL19ift7E/nx120LWt3XTd6KsRm86gAAAACInMJC5tHBo8X7tlrZgMaQDbPKelkdOn9IKT+16vuF0LBQOTjrzW74d99ld+mJW59Ydv6h84c07W++nVgtNGrgHYah0llP2Vz+v3moUKMXpzR2eUYXJueUyflqd20N9CY0uLtLQ/098nwpNZ9TzLUUjzkb7ruD9dV3ARStxDa2kk7p14eJ3No/W+VUa2/EMvk2poVWpkC9GWPU2eEqDKWueEy//643KOv5Wsj5Ctb5aGGZ/H5xsSXtII0R73V1YNtG8qTB3V1VHbcwnl3iQifLyv8921Z1/76rPR6igYAQAAAAQOQUqs2WChWuqorA9tvp7qzKOOkgrblg7fafhcXqmWBmwz1djMyqELHT7ly1SH29c/0mZ1sdjbbvnZTfZyeVyRVbiZ7+wY/19MgFTaYWVh1bCK56O9t0994B7bvtBmVzgXw/p852t7ighsrVYwEU9bFeSFcN1XqNBlpFPtRb/JQQSjEnH/x5QSCv2Eo7v8GebRk5tpGztI22yVd+EQ7Wh2tbmpevof4e9Xa2lfx8UqmdyTYN9fcsjr/679VevM+xjarZiIL3YmwGASEAAACAyFmr9eRaVRFoXV32xoFJ0k4Wf2YK4fJf3vqXJVvqbUebvWYRhtfCwel0VsdPjerspY2rLidTC3ryzHm9ODaug/uH1B2PKZXJKdnhsoC6SfVYAEV0PTT2UHFPz0qqtUvpcrr0xT1frOr8gK0qO4i3Fn8tFUraYDtYgvjtY1uWHNvI86W79w7oyTPntzzmgb03yigfBpfaU7nQPt2xrKoFhJYxchYvpOIdGZUgIAQAAADQFKiKQKNotBCwUX9201mvGA4efWpE4zOZis4/e2laR58a0eH79qo7HlM66ynR5tZotq2tHgugqK+lId1WJe1kRRXKs/7sqoBw2p+mlTeAhtQec5Saz2nfbTfoxbHxsi5mWsuevm7tG+4rjluKbVkKwlAK82FeNV4Z21w7//nUiIQQFSEgBAAAAABEzlpVpBsdW/jayKwKrY3Mqva1QRhseu+tSubYaHJeUNxz8Pip0YrDwYLxmYyOnxrVoXtvVzYXKOYExSvvUZntXgBFfS0N6YBG16wXgdUziEf1uLalmGspmwt0cP/Qpi5qkqTrutp1cP+QJCnmWut+XikEg8YYhWGori10MbFtS4nF92JjqruPNFofn+IAAAAANBUWY7ZPsy7Yof4yOU9Sfs/BrQRRUr6S8PRLl7RvuE+ZrCe3I1aNKUZOpQugljGKt61eNupNtum3/48hGUnuBgugANDKCOJbRzzmyPdz6o7HdPi+vcvaoq/1frjU4PVJvfeuPerqiMm2jOIbXDxjTH5/ayMjyxg9/rq/2PTcjWm03hZoJgSEAAAAAJoKizFoNIXQutPu1LHBY5KW77s17ZcfkBljytoXsZH5QSDPDxUq1NMjF6oy5smRV3TX8G55fn58WlpuznoLoEu95ZZd+rWfvXnVAqdt5xc9rcW9INkSEkA1cREY6sUYo852V6lM/j3y0L236/RLl3R1Oq1feON/WTPws0y+vWfMsZeMpbL2TDa6trd1oFBz3pyyYbbiefNWjK0gIAQAAAAArIsFu/UtDa1X7rEVLv5TthbYoivn58PR0YtTmkwtVGXMidkFjV6c0nD/DuX8UBStbc5aC6AnR17RxGz+78oyZlU4uJUFUAAoFxeBoZ4syyjZ4Sqd9ZTNBdo33KeuuCs/COX5ofwg1GJjUNlWfg9eZ+kFS4UtAMt8bzTGFD/32TLqcpJayPlayPkK1vk8yHsyqomAEAAAAACwLhbsUAnfz69qjV2eqeq4Y5dnNNy/Q74fSK698QkoqdQC6F3DuzV6cUpjl2c0kcqoq8OVZLRgT0vGKJDkSZrzqzsX2gwDABqJMUaJNlcxJ1Am68nIyLGMZsNJaeXFSaGkKr0v9jq9kqSYkw/+vMVuDNUOJYGVCAgBAAAAAEDV+IuXvV+YnKvquBcXx/PDFiizrLOVC6CeLw3379Bw/w4ZSYk2V5KU9VlwBABEj2tbcjtiCrfpM4cxRmEYam4hV7zQarlQvi9lc/lbtm3UHnPk0nIdW0RACAAAgKYykZuo6fhUMwBAdWRyG19WbxmjeFt5SxOmcJU8+WDVFBZA/SBQzg/l+4GCwmLokmzwofMPaTagzTAAIFpWVubVsu2+MUbJFe/JfhgWCghlGyPbtuTahr2YUTUEhAAAAAAAoOraN2gD+pZbdq3a6249jm0p0eYsC65qwZKlhJ3Y9PmddqdMrSdZZbZl5fd1XOPvbDagzTBQLUk72ZBjAdjYdrTd3+g9GagmAkIAAAA0pVpevQkA2DzbMvKDUAO9CY28XLrq2zKmonCwMG6t3dl1px64/gHF7fimxzAy6nF6JKnYmizU8rLHUKHSflrZMFvR2FS5A82Pz5wAgEZBQAgAABAxrXLV8nZcvQkAqJxtG8mTBnd3rXlMvM0phoNerLzXct8YzW/ctXSVckM1S9aWw8FyGRnF7biyXmUBIdCsjDHSJtoDL63GLXzdaXVWa1oAAEQaASEAAEDEcNUyAGyfLmftkKwUI1O8+MIyy/eXaZZWcq5taV6+hvp71NvZpsnUQlXGrXX9YMJOFMPBIAy2NNZPvJ8sux0oWBaO2CbfNuzw2GGl/NS6Y1HljlbQZVf2WliQtJPF18JCZe4f3/THq6pymwEVwACARkNACAAAAABoOY1SLf3FPV+s+JyVwWCzsS1Ljm3k+dLdewf05JnzZZ33ge//35rxSlcTtruOYo4lGcmUkRQ2XKgWrryZvyPlp6iGBwAAQF0QEAIAAEQEVy0DiJKGCociqD3mKDWf077bbtCLY+M6e2l6w3NmvFlNezOr7ndsS8a4WvAXw8EalBIm7aRChcvaGUrSB85+QDMl5rQuszpUnvVmlXSSmwqMgWa21Qselp5f+LrX7d3SmAAAII+AEAAAAACAKpjz55T204rb8U0vihuZYhu9Zq4kdG1LMddSNhfo4P4hHX1qROMzmYrHsSxT3KtQNQoHpXygvPS/faFFaKhwU4+5sipw2p9uypaIAAAAaF0EhAAAAACAllHPaulAgU68ekIPXP9AcS+7KIvHHPl+Tt3xmA7ft1fHT42WVUlY4NiW4jFHljH51qI1nCsAAAAQNQSEAAAAAABUybMzz+q5meeUsBObOr/T7tSxwWOSmr+NnjFGne2uUpl8SHjo3tt1+qVLOjnyihZywZrnWcaozbXV5tiLAy2GgzVICDcKlC1jVVbJuVgkGChYcldI9SAAAAAaDgEhAAAAAABVFChY1WKyEq0UJlmWUbLDVTrrKZsLtG+4T3cN79a5S9Nqc235QShP+eyvzbGVcFw5lrm2F2ANw8HtECrUvD9f72kAAAAAqxAQAgAAAACAmjHGKNHmKuYEymQ9eb50a1+P2t18hWDWz6d/ba6trL9YrdekwWChcnDGn1EYUjmIaErayYYcCwAALEdACAAAAAAAas61LbkdMflBoJwfrg7/jJo2GFyJcBD1Vs+Q7sjgkao9NgAAqB0CQgAAAAAAsG1sy5JdYls/Y/K/AGwdIR1Qe1TLAmh2BIQAAAAAmgqLMUDjyFcDBvL9UH5wrWLOtoxs28i1LdlWiTQQQMvZ6e6s9xSAbUUQD6DZERACAAAAaCq1WowJwvzeYVPe1IatAVkExVJRDK1zXqBMzpPnl36u+EEoedK8fDm2UXvMkVuqbBBAVfH+hGYWxfdTAKgnAkIAAAAAwLpYsFtflCoIwjBUOuspm8sH6qFCjV6c0tjlGV2YnFMm56vdtTXQm9Dg7i4N9ffI86XUfE4x11I85sjQRxQAUEKzvJ8SxANoFQSEAAAAAJpCJYsxhWrAaX9aYbh+NWDBlDel+WBeh84fUqBg1feTdrJpFq6qLap/biwXBKFSmVyxlejpH/xYT49c0GRqYdWxIy9PSJJ6O9t0994B7bvtBmVzgXw/p852V5ZFSAgAAADUEwEhAAAAgJYVhuGG7UIL0n5aJ149oWl/usazQquIUgVBGF4LB6fTWR0/NaqzlzZ+rkymFvTkmfN6cWxcB/cPqTseUyqTU7LDpZIQACApWu+nANBICAgBAAAAtJwpb0qS9NGxjyrlp8o6Z86fK1k5GGUs2KEgnfWK4eDRp0Y0PpOp6Pyzl6Z19KkRHb5vr7rjMaWznhJtbo1mi2qjzfD28oNAOT+Q74fFil1Jsi0j2zZybUu2xZ6eALDdeD9EqyEgBAAAANByClWDKT+lWX+2zrMBmlvOC4p7Dh4/NVpxOFgwPpPR8VOjOnTv7crlAoWxkCrCJkGb4e2R8wJlcp48v3Tlux+EkifNy5djG7XHHLk2QSEAbBfeD9FqCAgBAADQlLh6EwC2RybnScrvOVhOW9H1nL00rdMvXdI7hvsUSiIeBPItfNNZrxjEhwo1enFKY5dndGFyTpmcr3bX1kBvQoO7uzTU3yPPl1LzOcVcS/GYQ9gOAAAqRkAIAACApsTVmwBQe34QyPPze3k+PXKhKmOeHHlF+4Z3S6HK3iMU9UGb4doLgmv7e0r5IP7pkQuaTC2sOnbk5QlJUm9nm+7eO6B9t92gbC6Q7+fU2e7KsggJAaAWeD9EqyIgBAAAAAAAJeX8fEXT6MWpkoHFZkzMLujspWm9+eZdVRmvERljtDL7NEvqJQtfd9qdG45FlXvrCsNr4eB0Oqvjp0bLqtKdTC3oyTPn9eLYuA7uH1J3PKZUJqdkh0slIQAAKBsBIQAAAJoKV28CwPbxF/dCG7s8U9VxX74yqzffvGtZhtZKraO77K5V9yXtpCyT3y+ux+mRJB0bPEYVZYSls14xHDz61EjF+3uevTSto0+N6PB9e9Udjymd9ZRoc2s0WwAA0GoICAEAAAAAQEmFtocXJueqOu6lqfSq+2rVOjoI81WQU97UumGckSkGdwWdVmfx/LUUQr+lj1VKqdAQ0ZXzguKeg8dPjVYcDhaMz2R0/NSoDt17u7K5QDEnkGtbG58IAAA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"text/plain": [ "" ] }, "execution_count": 4, "metadata": { "image/png": { "width": 500 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='images/10_15.png', width=500) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Exploring the Housing dataset" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loading the Housing dataset into a data frame" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Description, which was previously available at: [https://archive.ics.uci.edu/ml/datasets/Housing](https://archive.ics.uci.edu/ml/datasets/Housing)\n", "\n", "Attributes:\n", " \n", "
\n",
    "1. CRIM      per capita crime rate by town\n",
    "2. ZN        proportion of residential land zoned for lots over \n",
    "                 25,000 sq.ft.\n",
    "3. INDUS     proportion of non-retail business acres per town\n",
    "4. CHAS      Charles River dummy variable (= 1 if tract bounds \n",
    "                 river; 0 otherwise)\n",
    "5. NOX       nitric oxides concentration (parts per 10 million)\n",
    "6. RM        average number of rooms per dwelling\n",
    "7. AGE       proportion of owner-occupied units built prior to 1940\n",
    "8. DIS       weighted distances to five Boston employment centres\n",
    "9. RAD       index of accessibility to radial highways\n",
    "10. TAX      full-value property-tax rate per $10,000\n",
    "11. PTRATIO  pupil-teacher ratio by town\n",
    "12. B        1000(Bk - 0.63)^2 where Bk is the proportion of blacks \n",
    "                 by town\n",
    "13. LSTAT    % lower status of the population\n",
    "14. MEDV     Median value of owner-occupied homes in $1000s\n",
    "
" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CRIMZNINDUSCHASNOXRMAGEDISRADTAXPTRATIOBLSTATMEDV
00.0063218.02.3100.5386.57565.24.09001296.015.3396.904.9824.0
10.027310.07.0700.4696.42178.94.96712242.017.8396.909.1421.6
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40.069050.02.1800.4587.14754.26.06223222.018.7396.905.3336.2
\n", "
" ], "text/plain": [ " CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX \\\n", "0 0.00632 18.0 2.31 0 0.538 6.575 65.2 4.0900 1 296.0 \n", "1 0.02731 0.0 7.07 0 0.469 6.421 78.9 4.9671 2 242.0 \n", "2 0.02729 0.0 7.07 0 0.469 7.185 61.1 4.9671 2 242.0 \n", "3 0.03237 0.0 2.18 0 0.458 6.998 45.8 6.0622 3 222.0 \n", "4 0.06905 0.0 2.18 0 0.458 7.147 54.2 6.0622 3 222.0 \n", "\n", " PTRATIO B LSTAT MEDV \n", "0 15.3 396.90 4.98 24.0 \n", "1 17.8 396.90 9.14 21.6 \n", "2 17.8 392.83 4.03 34.7 \n", "3 18.7 394.63 2.94 33.4 \n", "4 18.7 396.90 5.33 36.2 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "\n", "df = pd.read_csv('https://raw.githubusercontent.com/rasbt/'\n", " 'python-machine-learning-book-3rd-edition/'\n", " 'master/ch10/housing.data.txt',\n", " header=None,\n", " sep='\\s+')\n", "\n", "df.columns = ['CRIM', 'ZN', 'INDUS', 'CHAS', \n", " 'NOX', 'RM', 'AGE', 'DIS', 'RAD', \n", " 'TAX', 'PTRATIO', 'B', 'LSTAT', 'MEDV']\n", "df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "### Note:\n", "\n", "\n", "You can find a copy of the housing dataset (and all other datasets used in this book) in the code bundle of this book, which you can use if you are working offline or the UCI server at https://archive.ics.uci.edu/ml/machine-learning-databases/housing/housing.data is temporarily unavailable. For instance, to load the housing dataset from a local directory, you can replace the lines\n", "df = pd.read_csv('https://archive.ics.uci.edu/ml/'\n", " 'machine-learning-databases'\n", " '/housing/housing.data',\n", " sep='\\s+')\n", "in the following code example by \n", "df = pd.read_csv('./housing.data',\n", " sep='\\s+')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing the important characteristics of a dataset" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from mlxtend.plotting import scatterplotmatrix" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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4RXcy/P3h1dMTJGIRepIxxjOFS3oYN2ogSK7YIc7LvkrWdrUxmsrxwDdf4ZEXTy7ofUpacbCJmf2NmZ02s71layvNbJeZHSx+X1FcNzP7UzN71cxeNLOfaFrgIiIisuwoWS6zrq+dsXQegNF0jkQsQiYf0FVMoMt7GDdqIIjN8tjhc5OMpXNEDXbuPrag9ylp0cEmnwO2zVi7H3jC3a8FnijeB/g54Nri1z3AZxcpRhEREbkCKFkuU96KrTsRYzSdZySVYyKTZ9e+IZ4+cIa2aJjOlu9Cl9RjIMiKznjVx8bTOS5MZrmQynLs3MSC3qekUZ9jIdz9aeD8jOX3AjuLt3cC7ytb/7yHvgv0mdnA4kQqIiIiy51qlsuUWrE9tneI3o44p8fS5PNOLAlu4cCPodEM+wdHGjYQpLc9zvBEjpnz+oxw7LU7TGYKtEWjlQ6fVaXa5CU02KTf3QcB3H3QzNYW19cBx8ued6K4NjjzBczsHsLdZzZu3NjYaEVERGRZULI8Q3krtt//2ovsPTVKthDQk4zz5vW9xKNRHts7xLYt/ex4+jAQ7sSOFXeh77p5/YLef2adcvn6eKaAESbOidj8/igws9NHqTb5f7lhDf+0/0zdP8ciqlS5UrHPnrvvAHYAbN26tXIvvho9uOvArI/fd8d19Xw7ERERWSRKlmeRKTi3XreGiF3MxwJ3Tg6npu1Cl3Zq77p5/YK7SAyPpwmqPFaeFc430yuvTQamvh8YmmjI52iAITMbKO4qDwCni+sngA1lz1sPnFr06ERERGRZqilZNrM/cvdP1DuYVnO5EoVGDAQZSVdLlaGzLYID2byTyc8s1JjdyeEU8Sh899Aoo+kcPck4m9d0cHI4v1QGmzwMbAceKH5/qGz9t83sH4C3AiOlco16utzOsYiIiCxPtV7gN7NTwbJUfsFf4D51e9uW/oa9Z/VUGUpD/NrbIsQi8/unS0SNZw5dIJ0r0J2Ikc4VeObQBRLR2fpvLIyZvX0uaxWe8yVgN3C9mZ0wsw8RJsl3mNlB4I7ifYBHgUPAq8D/BH6zTuGLiIiI1FyGES32ua2Yabn7zE4GS1KjSi1q1ZmIkYhFiEeMtb3h7vZcB4o4l/5jlQaeNNBngJl9jyutTePud1d56J0VnuvAb9UUnYiIiMhl1Jos/xjwHNUvrtpcc0QtZrYShUZMvotQfXf5mlUdjGUKTGTybL9lY9WL9sqnDJZkC87N16zg0NlJxtN5upIxbhjoJlvwun8OM7sFeBuwxsw+WvZQDzD/Nh4iIiIiTVJrsrzP3W+qayRLzP7BET71+AHOjmfI5AscHBpj78kRPvbu6xaUaM5WhnF6PEt/T5IPv+P13HnjOh7cdaDiRXuP7R26JIZS/fUtm1dNrY2kcmTzhTkn3PPQBnQRnl/dZeujwC/V+qIiIiIii03dMC6j2q7rF3cf5fDZCbqTMXqScTL5gMNnJ/ji7qP84S/e2JBYnvr47dPunxxOMdCbnLZWbaBItVZ3HfHInBPuuXL3p4CnzOxz7n60phcRERERaQG1XuD36UqLZpY0s/cvIJ6WUipzGEnlpu267h8c4YXjI3QloiTjUcyMZDxKVyLKC8dHFi2+8vHcJdUGipTqr3vb4wyOpOltj3PPrdeQKXgjJ/glzGyHmX3LzL5d+qrHC4uIiIgshpp2lt39c6XbZhYF3gXcDbwb+GfgK/UIbjFV2kGu1pv4sb1DOI7NKNkOL5hr3CVzH/vKD6btbm/b0s+nHj/AC8VSkEQsyuquBHe9u/IAjEr11w2e4PcV4C+Av4JLhhKKiIiItLyayzDM7Fbgl4E7ge8BbweucffJOsW2aKpdKDeWzrGmu21ab+IVHTGeOZwikyswOBE+vqKjjUw+YDxT4K2bVzYszpk1xRAOSQGmEvfS/blq1CTCory7f7YeLyQiIiLSDLUOJTkBHAM+C3zc3cfM7PBSTJSh+nS7l04M890fnSMfOGZGPAq5grNxRQdv3bySpw+c5cx4llw+oLejjY2rOvjVW65uWJwRs2m72wBXr+rkxvV9U88ZSeXmVW/c4PZ43zCz3wS+DmRKi8ultaCIiIgsf7XuLH8VeB9wF1Aws4eYY8teM9sAfB64irD5ww53/7SZrQT+EdgEHAE+4O4XaoxvXipdKJfJ5zk5nCKbD/tTuEMqFxZ5F9xZ293ObdevYe/JUbKFgNuuX1uX1nFzUV5TPNcL/GbTwAl+24vfP162tqxaC4qIiMjyVtMFfu5+L2FS+8fA7cABwp66HzCzrsscngd+x91vAH4a+C0zeyNwP/CEu18LPFG8vygqXSi379QY+UJA4OHkvNJQDwfOjoebpKu7ktx63Rre9Lpe7rtjYS3j5qNUUzyfC/yawd2vqfClRFlERESWjJprlouT074NfNvM4oQjsO8G/hxYPctxg8Bg8faYme0H1gHvBW4rPm0n8B3g92qNbz7K63Yz+Tz7To1xYGiMXFnT4/Jt81Tu4rVqi5mcBu6X1BQ3sN54wczs1yqtu/vnFzsWERERkVrUWrP8OXf/YOm+u+eAbxDWqM45czSzTcBNwDNAfzGRxt0HzWxtlWPuAe4B2LhxYy3hV9QRj/D0gdOcHc/S35Ogoy1CKld5REg27zyx7zVG0jkmswFvWNPJg9DwMozBkfQlNcU/dlUnO3cfm+posf2WjfOeOPjIiyfZufsYQ6Np+nuSbL9lI3feuK4eId9cdjtJOK76ecIyHBEREZGWV+vOctWpG+4+p4LZYrnGV4GPuPuoWaXJ2RVffwewA2Dr1q0L7tNW3gljdVeCtlg4jTkRi2LkKxZiO/DK6XFiEaOvPcZIKs/hM+PseHqy4uS7eo2T/tT73zLt/iMvnuSL3z1OTzLOut4kY5kCX/zucdav6Lgk2d0/OML//dgrnJ/Iks0HHBwa48UTw/z05hV88bvH6UzEWNvVxmgqxwPffAVgwQmzu3+4/L6Z9QJfWNCLioiIiCyiWoeSdJjZTWb2E5W+LndwsWzjq8DfufvXistDZjZQfHwAOF1jbPNS3gljLJOnJxkjEYtgZkRmyd+DwMkXAs6MZzl6bpw9xy5QKARTXSpKZhtsslA7dx9jPJ3lwGtjPHt0mAOvjTGezrJz97FLnvuF3Uc5di5sVlIaQnLs3CR/9c9H6EzE6G2PE4mE0/w6E7GKr1EHk8C1jXhhERERkUaodWd5HfDfgUrppAPvqHaghVvIfw3sd/c/LnvoYcLuCQ8Uvz9UY2zzUt4JoycZJ50rhMkyEMyyb+2lL4dMwRlP5zkwNM5kbvrsjdkGm8x3d3nmUJL9p0YYy4TvZ4StRS6kCuw/dWki/sLx4amJg0D43Z1jFybZtKpj2nO7E1GGRtPziq0SM/sGF8u9o8ANwJcX/MIiIiIii6TWZPlVd6+aEF/G24FfBV4ys+8X1z5BmCR/2cw+RNjDeVHGZpdPsHvD2k7+9dVzjKfzTGQrl2CUBD49mU5nC6RzeUZndKc4OZwiFoF9g6OMp/N0JWNsXt3BeCbPfO3a9xrJWJR/ffUM/+19W5goJsqlHfBSgl9aL2fYJZ/HgVjEGMsU6G2/+EeGsUyB/p4kdfCpstt54Ki7n6jHC4uIiIgshlrLMGrm7v/i7ubuN7r7jxe/HnX3c+7+Tne/tvh9UQZXbNvSz0gqx0gqR+BhaUXeHffKF/dVkw2c8xNZIjNS0rao8ezhC2RyBboSUTK5As8evkBbdG412uUyuQKj6Rz7To3yp/90cOqdSol7KXmvlOTftKGX8UyBdK6Au5POFRjPFPjJDX1MZMIuGkEQMJLKMZHJs/2WhV886e5PAT8EuoEVQHbBLyoiIiKyiGrdWZ7W0q1Yg7wFOOnui1JrXKu/fOrgJd0jShPsdu07z6quBLe+rofvHDjDqeH5lSJ0JWMEMypTSr2Zy5V6Ns9XPnAMxx3+7dA5kvHKHTuS8Ut/B/qVW67m4Olxjp6bJJ0vkIxFuXpVB7//C2/k0Jnxad0wPvyO19elG4aZfQD4JGEbQAM+Y2Yfd/f/Z8EvLiIiIrIIak2Wf9HMTrr7y8UOB7uBArDSzD7m7l+qX4j185dPHeTTT7xKWzRKTyLKWCrHpx4/yP/3g0HeccNVvK4vyZruNn50ZoLRVG7erz+Wzl9yUWCm4Lx18woOnZlkNJ2jJxnnja/rJlOYfyOPfFlePJktMNDdxrHhzCXPW9MZr3j8ZDbPWCZHNh+QKwRMZsNSkDtvXFevVnEz/T5wc+kXKDNbA/wTUHOybGZHgDHC8y3v7lvrMf3xwV0Hag1JRERElrFak+Wfdff/XLz968ABd3+fmV0FfBNoiWR5Zsu2v3/mKG3RKJ2JKNl8QD4IL9P74WtjTOYCzo1nwQMS8RiF+VVhALC6K3HJRYHr+to5cnZ82tpkpsCm1ZcbdDg7LziTeactCtmyEuW2KEzmL03EP/PEQY6cnaQ9HqOv3cjknSNnJ/nMEwf581/ZuqBYZhGZ8ZeGc9Sn9Od2dz9bdr80/fEBM7u/eH9RBtqIiIjI8lZrslxee3oH8BUAd39trv2SG2n/4Ahf3H2UJ354Gndoj0c42NHG+Yksfe3hR07lCgSBT03pG5nMMpbKUQAimQKx2frGVdAeC3sz9ySn/0iv6+/ka8+foDMRozsRZSSV49Rwine9qX9Bn9EiRq7g9LbHp3pDA2TzBbIVdq2/d+QCbbHIVIlGMm64O987cqFufaAreMzMHufiL093AY/W44VnaNr0RxEREVneak2Wh83s54GThN0tPgRgZjFgcWY/V1Hqa/zyyRHS2QKxaISxTIF4LOxuMZrOU3AYn9Ex4uzExbKLwKmYcM6mO9nGdf1dXLOmayqOx/YO8a19r5GMR4hHjYlsQE97nOvWdnFgaII7F/A549EIG1e0c+jsOJPZgMCdiIUV0psr7FrnCgGJ2PRN3VjUmMjkp4aylPeBrjRcZa7M7A2EExk/bma/CPwMYc3ybuDvanrRixz4lpk58JfFITVNnf4oIiIiy1etyfJvAH8KXEU4ge+14vo7gUfqEVitSn2Nz09mScQjxKIR8oWAyWyBtd1xXhvNMZyaf9u2y3Oi0QjbtvSzf3CETz1+gLPjGU4Np0hEI+QTztvesIrVXUkCd04Oz2nQYVWdiSg//5ar+O/fOkghCAg8bCEXjRg//5arLnn++hUdHD8/iRE+pxA46VxAR1usbn2gy/wJYTtAikNnvgZgZluLj/1CrS8MvN3dTxUT4l1m9sO5Hljv6Y8iIiKy/NVUP+ruB9x9W7Ht2+fK1h8HjtcruFqcHE5NTahzwh3ViUyes+NZgsBq6kIxF+OZwtRu7Bd3H+Xw2QkAOttiBA4XJnO8eDwcFjKWzrOub2Eb8IkoHD2Xoi8ZIxmPTJVY9CVjHD13aSL+m7dtpj0eIR9ANu/kg7A85fVru6Z+XiXdydhCk/lN7v7izEV330N4EV7N3P1U8ftp4OvAT9Gk6Y8iIiKy/NW6szybjxLuHjZFacjIQE+SI+cmyBYcMycWMcaLA0MihNPu6mkyF3DozDg3DPTywvGRqWl5KzvbGBxJE43AqZHUVE/nu25ev6D3OzOR44Xjw/R2xInnomTyYZlFRzzCC8eHL3l+qdtFeYu47bds5MDQxFQbvZI6JPOzTTSp+YXNrJPwosGx4u13Af+VJk1/nI/Lddu4747rlvX7i4iILFWNSJabeoXfti397Hj6MJvXdHL0/ATgBAG0xY1M4FNjqhvhgW++AoDjpHIBZyeyZPMB6VyOdM4JgEdfPMW1a7v46385sqCL6bJ5J50tcGEyRyJmtEWNfCHgTKbAio7Kx1RqEbe5WOMN4Y7yWDpfj2T+WTP7T+7+P8sXi9MZn1vA6/YDXy9eRBoD/t7dHzOzZ2nC9EcRERFZ/hqRLDe1FvSGgd6pISOdRy7QlYBcPs94Nuwt3EijqRz/18P7iMcinB7N0NEWxT1gMhsm6VFgOBXuCHclY4wkYgu6mK4rEePseJZwrzz8HaUQBHQl5v7PWv7zKnXDuOvm9QvthvERwqT2P3IxOd4KtAH/vtYXdfdDwFsqrJ8jrJcXERERqauakmUzG6NyUmw0uRsGhAngDQO9nBlL8+yR8+SKnMkAACAASURBVBweTYNxSQ/kehstlnl0JaIE7oym81M/JAMsEl5clw+c548N88vFhLSWi+naonBVX5KxdI5ULiCTLxCLRFjVGeeqvtmqIC5V+nnVi7sPAW8zs9sJJzsCPOLu367bm4iIiIgsgpqSZXfvrncg9bJ/cIQv7D7KUwfOcGYsc7EF3CLsd5fGWGfyBczAffpj+QDMnAg+lVjXejHdhhUdvHGgl454lNdGM1PTAa/qSSx44Em9uPuTwJPNjkNERESkVo0ow2ia/YMj/MFDL/PSiWFSFabYLZZc4WLiPDOKIHByDkbAdw+dm1dym4gZsYjRk4yzaU1XsT57khsGeqbVG2/bsrCBJyIiIiISqsfo4Zbxxd1H2XdqlHQTE+XyCwgrRVHa6I5HYSSV4/ljw1zX3zn1+Ipk9X+SZDxKX0cb1/d38abX9U7VG/e2xxkcSdPbHl/QMBERERERmW5Z7Sy/cHyEbD5o7hWGXPwNZLbLCaNmFaf5rV/VxYWTo5c8vy0K163tYixT4EdnJ3n/zRuA+tcbi4iIiMhFy2pn2XEKvjipcnyWn1zAxUR5Zh+9WKR4bNj+jI5EdFrNcmnK3szjsgU4cHqcsXSO16/u4MDQxMI+gIiIiIhc1rJJlvcPjpDJFabKHBopHoFYNDItoTXKG7hdXPMZjwdBeKFfNGJkcgWePXyBtujFoyYyBaCYVEenp8zX93ezuivB4GiGfYMjdf9cIiIiIjLdsijD2F8crDGRyTf8vdoiYQLc2RbDPUcQOHkPO18EhAmxQzgkJHDcw9uxiJHOBxgQK8uBSxcClkQiRtSdgoPP6HV36OwEiViEeMQYSTX+s4qIiIhc6ZbFzvJje4fobY9zYSLb8PfqSsYxg4iFO8TZACJlOW0ARC3cFe5NxmiLGt3JOB1t4e3e9jjRaAR3JxmP8tbNK8iUbYev7Woj72ECHZvxrzOeznF+IsOZ8Sy2SOUmIiIiIleyZbGzfHI4RTwaJq6NZEA+CJPcgb52HBiezFIIwh3iqIXlFZ2JGBELizCiEaM7EWUsU6A9HiMejbCqq40VnQl+evMqRlI51nbHp95jy7peTo9lKARO+cBBA8xs6nUns4XGflhZVA/uOjDr4/fdcd0iRSIiIiLllsXO8rq+dvadGmvoe0QtnMwXJrsJkvEoDvR1tJGIGxEgFjW6EjEiBqu72ig4rOiIk2yL8TNvWMW2N/fTmYgRBLB5dQcjqdwlfZE7k3F+YmMfybYo0bKa5WgESlXQ5jCRVRmGiIiISKMti53l6/o7+dt/bWx3CAOuXtVJVyLK8GSedK5AW9TI5p2Otjgr2o22WISxTDi9LxmPctOGPn532/VAWCpycjjFLZtX4kC24PS2x7nr5vXTWr+1RY0fnZkgcCdSVsycDyAICkQi0BaLEKgMQ0RERKThlnyyvH9whH/af4a+9vjUCOl662iL0JOM88n338hje4c4fGac18YyJONRMvk83Ykoa3uSXNWT5MDQOBtWtfPGgV62bemfSoTn2gv52LkJzk1kiRUvCsyUdY3uaItScCebD4hFlsUfBURERERa2pJPlksX9/V2xOFC6vIH1GB9XwdbN62YSnh3PD3JGwd66L5mJcfOTfDK0Dg97XGuWdPFf7n99QsaEvLDoXG6EjECd/KBT2s/N54tECGc/qedZREREZHGW/LJ8snhFAO9SQoBrO2Kc3o8V9fX74hHeNO6Xn71lqsBpkZMl8oqNq3u4j/ftrAEuVyuEJCIGfFY+E8zOJKmlBdHLZxlkg8gk2/w1YwiZXQBooiIXKmWfLK8rq+dkVSOrmSMeLSDRDzD8QvpOR8fM8jPskm7eU0X99x6zbRkuJEjpjes6ODYuUnMwk4apUTZgPZ4JKx3zjuZvLphiIiIiDRaSxW+mtk2M3vFzF41s/vncsy2Lf2MpHJc1Z0gkwvoTMQZ6EnQHo/Q2Ra5ZGx0uWjxQrxE9NJnxSOwrjfBJ99/Y8MS40r+y22baU9EKQROJleYKsGIRZiaTtjeFlHN8gy1nDsiIiIil9MyO8tmFgX+DLgDOAE8a2YPu/u+2Y4rL4uYzBUYTefZsLKdeMQ4ej7FkbPjALRFI6TzAblCMDVV7w1ru7mqL8nargQHT49zYTLL+YksgUNfe5yPvfu6RU2UAe68cR0AO3cfY2g0TaYQkIgaybYYmXwwNcFvbW/7osbVymo9d0REREQup2WSZeCngFfd/RCAmf0D8F7gsgnPbGURpVHYve1xupMxxtJ5RlK5S0or9g+OTNUhr+trn9bJYrHdeeO6qaT5kRdP8sA3X6EzEeN1xeEmE5k822/Z2JTYWlTN585ScbmaYREREWmMVkqW1wHHy+6fAN4680lmdg9wD8DGjZdPGGdekLeur/2S3sal5zUrOZ7NzJ3m/p4kH37H66fWBZjjuSMiIiIyX62ULFcqL77k0jt33wHsADCzM2Z2tPjQauDsXN7oo7VG2CK+Mo/PWgdXL9L7LMSczp3yX7SAcTN7hcX9WTZb1c+60P8mKhy/FM4bERGRy2qlZPkEsKHs/nrg1GwHuPua0m0z2+PuWxsUW0u5kj7rHM3p3Cn/RavkSvpZXkmfVUREpF5aqaXCs8C1ZnaNmbUB/wF4uMkxydKgc0dEREQaomV2lt09b2a/DTwORIG/cfeXmxyWLAE6d0RERKRRWiZZBnD3R4FHazx8x+WfsmxcSZ91ThZw7lxJP8sr6bOKiIjUhbnPMr5OREREROQK1ko1yyIiIiIiLWXJJ8vLecyxmW0wsyfNbL+ZvWxm9xbXV5rZLjM7WPy+otmxLkU6d3TuiIiIXM6SLsMojjk+QNmYY+Du5TLm2MwGgAF3f97MuoHngPcBHwTOu/sDxSRvhbv/XhNDXXJ07ujcERERmYulvrM8NebY3bNAaczxsuDug+7+fPH2GLCfcFrde4GdxaftJEyCZH507ujcERERuaylnixXGnO8LOdAm9km4CbgGaDf3QchTIqAtc2LbMnSuaNzR0RE5LKWerI8pzHHS52ZdQFfBT7i7qPNjmeZ0LkjIiIil7XUk+V5j8heaswsTpjs/J27f624PFSsSS3Vpp5uVnxLmM4dnTsiIiKXtdST5WU95tjMDPhrYL+7/3HZQw8D24u3twMPLXZsy4DOHZ07IiIil7Wku2EAmNl7gD/h4pjjP2xySHVjZj8D/DPwEhAUlz9BWHv6ZWAjcAx4v7ufb0qQS5jOHZ07IiIil7Pkk2URERERkUZZ6mUYIiIiIiINo2RZRERERKQKJcsiIiIiIlUoWRYRERERqULJsoiIiIhIFUqW58nMxovfN5mZm9mHyx77H2b2weLtz5nZYTP7gZkdMLPPm9m6ma9Tdv+DZvY/irevN7PvmNn3zWy/me1YlA8nDaVzR0REZOlRsrwwp4F7i0MtKvm4u78FuB54AXhylueW+1PgQXf/cXe/AfhMfcKVFqJzR0REZAlQsrwwZ4AnuDgRrSIPPQi8BvzcHF53gHAcc+n4lxYSpLQknTsiIiJLgJLlhXsA+B0zi87huc8DPzaH5z0IfNvMvmlm95lZ34IilFalc0dERKTFKVleIHc/DHwP+OU5PN0u93LF1/xb4AbgK8BtwHfNLLGAMKUF6dwRERFpfUqW6+OPgN/j8j/Pm4D9xdupGTWoK4GzpTvufsrd/8bd3wvkgS11jFdah84dERGRFqZkuQ7c/YfAPuDnKz1uof+dsJ70seLyU8CvFB9vBz4APFm8v83M4sXbVwGrgJON/AzSHDp3REREWpuS5fr5Q2D9jLVPmtkPgAPAzcDt7p4tPnYv8Itm9n3gu8BX3P3p4mPvAvYWj32csDPCaw3/BNIsOndERERalLl7s2MQEREREWlJ2lkWEREREalCybKIiIiISBVKlkVEREREqlCyLCIiIiJShZJlEREREZEqlCyLiIiIiFShZFlEREREpAolyyIiIiIiVShZFhERERGpQsmyiIiIiEgVSpZFRERERKqINTuAhVi9erVv2rSp2WEsa88999xZd1/T7DjqTedOY+m8kVot13NHRJauJZ0sb9q0iT179jQ7jJrtHxzhsb1DnBxOsa6vnW1b+rlhoLfZYU1jZkebHUMjtPK5c++X9vDoS6fJB04sYrznzWv59N1bmx3WvOi8kVot13NHRJYulWE0yf7BEXY8fZiRVI6B3iQjqRw7nj7M/sGRZocmTXTvl/bw0A+GyAdO1CAfOA/9YIh7v6QETUREpBmULDfJY3uH6G2P09seJ2JGb3ucQiHgDx7ex8e+8gMe3HVAifMV6NGXTmNAPGpEIkY8alhxXURERBbfki7DWMpODqcY6E1O3T8zlubA0Di5IOCt16yc2mm+59ZrWq40QxqntKNcrrTDLMvPg7sOzPr4fXdct0iRiIhINdpZbpJ1fe2MpfNT9189MwEGq7sSUzvNve1xHts71MQoZbHFIkZhRl5c8HBdREREFp92lptk25Z+PvX4AV4Yz5DJFxgazdCbjPGTV/dNPac7GePkcKqJUcpi+F//7J957vjotLVcIdxhLjg48J43r21OcCIiIlc4JcsNMLPLxXX9nRwYmpjW9QIg8HAL0TDaohFyM/7UPpbOs66vfdHjl8VTKVGGMEEu7SgvxW4YIiIiy4WS5TordbnobY8z0JvkyNlxvvb8CW7a0MfVqzunapE74hGuXtXJjevDneQzY2meOXSevSdHufW6BGPpPCOpHHfdvH7qdVu9zZzMX6VEueTwA3cuYiQiIiJSiWqW62xml4vXRjN0JmK8NpaZVov8wvERupMXf1dZ053k5mtWkC0EDI6k6W2PT13cpzZzIiIiIs2hneU6m9nlYjSdozsRZbzsYr7uZAzHGUvn6W2PT60n4zHe9carLrkCvjwBB6a+P7Z3SLvLIiIiIg2kZLnO1vW1M5LKTSW0Pck4I6kcPWVJ8Vg6z00b+hhJ5YAweS6VXdy8qY8Hdx2YVm4xMwEvHaOL/5a+n9zQU7EU4yc39DQhGqm3y7WGExGR1qdkuc62belnx9OHgTChvaonwanhFNet7SJwn0qK77n1GoBpdcg3b+rjn/afmap3Lq9vnrkLrYv/loev/tbPXnKR309u6OGrv/WzTYxKlgr1aRYRaTwly3V2w0Av99x6zVQSvGl1F+96U/+0bhh33bx+qnyivIziwV0HKpZbZPOFirvQpYv/ZGlTYiwiItK6ruhkuVEdJm4Y6L3kdebS1+DlUyO8MjjK4GiGwJ1E1PiJjX0MrOicloDPTLhFREREpDGu2GR5Zou3y42XbnTrtv2DIzx35DwXUuGFgAak8s6/HbrA219vFRNwWd7ecP8j5Mvux4BX1U6upagmWURk+btik+XZOkyUvpcPFalUS1wtsS6ZT4L9hd1HGUlfTJRL3x14ZWi8Lp+55JEXT7Jz9zGGRtP09yTZfstG7rxxXV3fQxZmZqIMkC+uK2EWERFZPFdsn+WTw6lpfY4hrAd++dSlPY0/8+0fUSgEU72TS0l2KbGuZD69kfcPjvCtfUMEfjFBLokYTOYKdfrUYaL8wDdfYTSVY21XG6OpHA988xUeefFk3d5DFm5mony5dREREWmMKzZZXtfXzlh6euoxls4zWuw6UZ4Y5woBr42mpz33cq3bZg4nqZZgl5LqQnHUdSlRnkqYnWldMBZq5+5jRA3G0jkOn5tkLJ0jauG6iIiIiEx3xSbL27b0M5LKMZLKEbhP3e5tj12y47yqs43zE2E3ijNjaXYfOsc3X3qNY+cnq07Rq7ZzPTPBLiXV6/vaaYvatMccCIBtb1q7sA9b5ti5CS6kslyYzDKeznFhMsuFVJZj5ybq9h6NYmYbzOxJM9tvZi+b2b3F9ZVmtsvMDha/r2h2rCIiIrI8XLE1yzNbvJU6TDy2d2jaUBGAgd4ko6k8h8+Mc2BoHAyiERjoSUzVLsP0OudE1ObUG7k0cOTGDb0cPjtBrlCYVoZxQ38n3clE3T53IXAmMwXaYlFiUcOd8H40Wrf3aKA88Dvu/ryZdQPPmdku4IPAE+7+gJndD9wP/F4T46zZ9Z94hExQ/fFm/ge7+f5HKA8tAhxS/bSIiCxzV2yyDJVbvAHThoqMpfNEIhE+/M7Xs3P3MXJBwOquBG9Y28nqrrAW+Qu7j5LKBVMXAB4+M86LJ4ZJFwL6u5O88XXdJGKxir2R1/W1c/jMOIfPTZAqq02ORWBtd4K3bFzByeFU3bpxJGIRCgFMZsOk3IpfiVjr/5HB3QeBweLtMTPbD6wD3gvcVnzaTuA7LMFkeS6JcrMu7puZKEP4V4/N9z+ihFlERJa11s+QFllpx7m3Pc7gSJre9jj33HoNd964jo0rO3jPmwf46c2rWN0Vjp/uTsZ44fjwVE3yufEMB06Pk2yLsaqjDYB/ffU8uXyhYveM6/o7eeH4MMfPTU5d4Bcx6IhFmMwGPH90mLaozfliwcsp37W2KutLgZltAm4CngH6i4l0KaGuWLdiZveY2R4z23PmzJnFCnXOZkuUjzxwZ1O7YFQLbZaQRUREloWadpbN7I/c/RP1DqZVVNtxXtfXfkmJxlg6j2Fk8nm+e2iUH50ZJ2qwpjtBweG269dOHVPpNQ8MTfD6NZ38y6tnMSNMmB0m8wGxwDk1EmCsqNrmbr67y5l8gWjEaIvZVOeNbN7J5OvXcWM+zCwObAFOuvvpOR7TBXwV+Ii7j5rZ5Q4BwN13ADsAtm7dutR+PxAREZEmqLUMYxuwbJPlarZt6b+kRGMklWPTqnaeOXRh6oI+dzhxIc3qzji7D51jLJUDo2LpxL7BEQZH0sQiEcDJFpzAw6S55PR4hh+7qmfacZfrxlFNLBKhvS1CIXAKHu5it7dFiu/feGb2F8Bn3P1lM+sFdgMFYKWZfczdv3SZ4+OEifLfufvXistDZjbg7oNmNgDMKeleTPd+aQ+PvnSafODEIsZ73ryWT9+9Fahc4jDTpvsfIR4xVndFOTteIBfUlut3xODqVR3sH5qcWruhv4Nv3nd7Ta+32Mzs7e7+r5dbExERqZdaM6Soma0odiG45KuuEbaQaiUafR1tUyUNbdEIgUOhEHBmIkcmV6AQBJwbz/AbX3ieT3ztxWnlEyOpPJlcATPI5B0v5kCBh7u+qzrbGEnlK7a5m3mx4FxsXNXJyo42+jra6EzE6OtoY2VHGxtXddb4U5m3n3X3l4u3fx044O5vBn4S+N3ZDrRwC/mvgf3u/sdlDz0MbC/e3g48VN+QF+beL+3hoR8MkQ+cqEE+cB76wRD3fmnPnBLlklzgDI7ma06UASbzTEuUIbz/cw8+Oetx1f6Hogl1XJ+Z45qIiEhd1Lqz/GPAc0wvey1xYHPNEbWA2S6mq1SikS04N1+zgpdOjjKZzZPKBeGFc0GeExcmGU3n6U7ESCTh5VOj06b/pTI5TlxITSXH5QqBk80XiODsPTnM8fMp0vkCyViUDSvb+W/v2zLvz7b9lo088M1X6E7GeV0iylimwEQmz/ZbNtb405q3bNntO4CvALj7a3Mop3g78KvAS2b2/eLaJ4AHgC+b2YeAY8D76xrxAj360mkMiBdbA0aAXMF59KXTLVPzOzOBnunQA3c2tRuGmd0CvA1YY2YfLXuoB1gSrVxqoXHaIiLNV2uyvM/db6prJC1i/+AIn3r8AGfHM2TyBQ4OjbH35Agfe/d1VeuDSx0tCoFz9apO8oWAV4bGKASQLeSIGKTzBU6POyuDsOb4C7uPYsC+U2NUqxbuScQYzwScOD9JKu9MZHMUCmF9cf6sc+jM+LxrlktjrcvHXX/4Ha9fzHHXw2b288BJwuT3QwBmFgNm3Sp393+h8i9oAO+sZ5D1VNpRLlfaYV5Kmtz1og3oIvzfrO6y9VHgl5oSkYiIXBGu6NZxlXxx91EOn52gOxmjJxknkw84fHaCL+4+yh/+4o0Vd523bennvn94DexiC7ZoxMAdBxLxKO6QyhYYj+ZJ5/L824/O0x6LTO3UzRxzbUC+EJAN4ORInphBLBYhFjUiZqRzef7iO4dqSnLvvHHdYibHM/0G8KfAVYQX6L1WXH8n8EizgmqkWMTIBz6tZKHg4fpCSiquJO7+FPCUmX3O3Y82O57l4nI71/fdcd0iRSIi0rpqLTn8dKVFM0uaWUv9CXy+Xjg+QlciSjIexcxIxqN0JaK8cHxkajT1zBZuABtWtdOTjDGWyZOMR2mLRohEwu3EIHBKqXCu4OwfHGNFR5xzk1kikcr/CA6M5wLikfB2ziGdC8jmw69MLuDwEpi6N5O7H3D3be7+4+7+ubL1x939d5oYWsO8581rw3/DghMETq4Q/hL1njevbZnejTf0dzQ7hLlKmNkOM/uWmX279NXsoEREZPmqaWe5PMkxsyjwLuBu4N3AP1OsQ12KHMfK/tI/kclzZixNOh/wBw/v46ruRMUWbm8c6OXI2XFsNMNoOkc+cNqiRhA1cgWndOVeOlfg9FiG265fzcnhFFGmF/GWxAyiUSM3o6jVHbCwk0WuUFvFa70GnNTCzD7D9E10B84CTxbLLJadsOtF5W4Yn757bt0wAHXDCH0F+Avgr6BqBdMlzOwIMFY8Ju/uW4sXI/8jsAk4AnzA3S/UOV4REVniai7DMLNbgV8G7gS+R1h/eo27z36lUIu7aUMfzxw6D2bkCwEnR9IEBWfDynbOjWc4PZrm0NkJCu70JONsXtPByeE8t1+/mn/43lHyARSCgEw+IHDobIuESbMbhYLTEY+QiBmTmQJ97XHOjldKlSHv4AWnLWZECf8fvrQ/HSnmSbHI3PoLlyvtjpemDZZ2xysNTGmQPRXWVgKfNLN/dPc/WYwg6uUvnzrIzt3Hpnppb79lI7/x76695HmlxLgSTcCbl7y7f7bGY29397Nl9+9nmYxJFxGRxql1KMkJwq4DnwU+Xhw9fHipJ8oAv3rL1QyOpDk/kWVoNEPMjK6uOFev6uDZIxc4Px6WTnQmYpyPZTlxfpLbrl/Dv756jng0Sj7IM5nNT9WpprIBsajRlYjR0x3jbW9YzXg6zytD40xkcrPGUhpDHYtEmMjkp7ZjzSARgf6e5Lw/32N7h+o24KQW7r6z0nqx//K/AUsmWf7Lpw7y6SdepS0apScRZTJT4NNPvApQMWGWuviGmf0m8HUgU1p09/M1vNayGJMuIiKNVWvJ5FeBdcBdwC+YWSdznJhsZhvM7Ekz229mL5vZvcX1lWa2y8wOFr+vqDG2BblhoJff3XY9t12/ls5kjM1rOnnjQDeHzk6SyRfCv+EGYX/k4VSWC5NZzk9keeH4MB1tETL5APcwUQ48HAcci0ZItkV52xtWs6Y7ydWrO1m/op3hVL5qawcId5fjUSMZj9DeFqUtFqG3PcbKzgSru5PcsnnVvD/fyeHU1PCUkloHnNSTuzc3gBrs3H2MtmiUzkSUSCRCZyJKWzTKzt3Hmh3acrYd+DjhL1bPFb8q/bViJge+ZWbPmdk9xbU5jUkXEZErW601y/ea2UeA2wlrlT8J9JjZB4BH3X18lsPzwO+4+/Nm1g08Z2a7gA/SIn8SLe+lPJLKsX9wFHdnIhOWSDrh5LsgcNpiEX44NIYB58azZHIFcsH0/ma5fIC5s6Y73AkeS+d50+t6efbI+bDu2MPEuJJzEzna4xGSsQgQIV+sfX5dXzu/csvV8/5s1UZ21zLgpF6KbeN+FTjRtCDmqHwSnxP+B9SZuNjmtz1ujKSq/8Xgv37jJb685yTpXEAyHuEDW9fxf/7Cmxsf+DLh7tfUeOjb3f2Uma0FdpnZD+d6YDG5vgdg48ZF60cuIiItouaaZXd34NvAt4sjiLcRJs5/Dqye5bhBoLSbM2Zm+wl3qRf9T6KXu9CtNN76yNlxRlI5CmUJrRd3jSORMNm8qifJWc+SL16pVd4KLh84p8cyDI2mSMZjjKRy3HXzep7YP8T+U6PVOwcTTvIrBJDKBcWEeWGqjey+6+b1C37tuTCzMcIfTfmnngSeImwr17JKk/iMYp9kD3/zOzOaZk2xJCaV82m/iJT7r994iZ3/doxoxEhEIZsP2Plv4S60Eua5MbNfq7Tu7p+f7Th3P1X8ftrMvg78FHMck+7uO4AdAFu3blWvPxGRK0xN2ZeZfa78vrvn3P0b7v7LwIZ5vM4m4CbgGeb4J1Ezu8fM9pjZnjNnzsw79v+fvXuPj+suD/z/ec45c9NtbMmOoyhx7IQkODihkKTUhIZLSzGltCy7hbItv9ClG9ot0NLSlmV/y7b0VzZLW1LKr2Wb3XYJ9EJJCy00NxJuAWJoEnJz4thO7NiOIsuWZM1oNLdzefaPMzMeyRpJ1nUsPe/XSy9pzty+I30185zv9/k+331DOW659wD/8bMP8oHPP8bhk4UpC932DeUat/nL7zxHpRpwqugzvfiAEtfKzZdDBKUz6RIRNQLkaNpt/Qg+/+Dz/Mvjg7z4/E529Gf5lddcQjrpMNfGdeUgouhHTFSC2qI+5YXxMp/bc/blZltt2b1S1TBUtVtVe2rf619bVPVt9YCmXd35RBxLKVNnAqoRRFHEZCWkGoYtd0P8wkODcaDsOTiOQ8pzcB3hCw8NrkDr14zrmr5+FPhd4Kdnu4OIdNZmsailjP0EsJc23ybdGGNMe1joyPLVra6Yb+6piHQR5z7/uqrm57HVcf3xFzzK01wJIlf0QeDAiQJdaa+RIvG5PUco+VGjWsT9wxN4ruA5DkEYnFHiS4Gxgk/Zz1OozF0AbKLk89ffO8aFGzt409UDPH+qyK33P8fo5MxVMZr5ERSrEY4oUeRz5xNDVEM96/JvM23ZvZJqaRdvJN42HeAp4B5VDVatUfMwW7m2fCUkm0nwK7u2t1zcV/YjUtM2Zk448XEzP6r6vubLIpIFPjfH3bYAX6q9x3jA36rq3SLyIG28Tboxxpj2sNBguUNEQSXlwQAAIABJREFUXkaLBAJV/cFsd66lbfwj8Deq+sXa4XlNiS5GcyWIiUpAT9qjEkQ8c3KSzd1putMe9+0b5bLNXTw1lKdQDjgxUSblOo3FejMJgYnK/Eq+VkIYnyzzB3c+zTf2j5ByhR/etpFvHzxJoTp30OSKEqhSCZQgClar/NuCicgFwDeIU3EeIe5DPwV8QkRe2+6jy608+Xu757xNOuFQDSJSTfM5k34cgG//0B1T6i+beSsCs5YeUdVDwEtnOD5KG2+Tbowxpj0sNFgeAP6YmYNlBV7X6o4SD+/8JbBPVT/RdFV9SvRmlmlKdHC8RH82HkHuSSco+yEpz6FQjgc0J8oB5WrIgeECqYRDV8pltACFIKTsL12q4kRVKQdlEi7sOTSGAFcNZNlzeO79ECarp1M9HCfe+vpsy7+t5qYkwMeAT0+vpywi7wf+O6enxdect107wG0PHKUSxDszTjb1KVfi3PZ/fmwYeMgC5hZE5CucXg7gAjuAL6xei4wxxqx1Cw2Wn1HVlgHxHK4nrnzwhIg8Wjv2YeIgeVmnROuVIKpBSLEacHhkkjBSkq7DN/efoLczSVfKY6LsM1FRKkFEGCplX6cs2FsKfgSHThYbZdyeOTmJJ62rYtQ1X92ccD7f8m/7hnL813/ay7GxEuUgJO25fPeZk/z+W3auVMD8I6r6rukHVfVPRWT/SjRgoRxmnl2Yb+J/fRFfvRpGXdKVxuP4oXLnEydabmBi+KOmnwPgiKq2fRUVY4wx564FV8NYqNqWxq0SlJd1SnT3zi18/O79HB0t4jqAKmGkBBJRrAZs6kqBwNhklaTnknCFyUo86rwcS+DzZZ/ulFf7OUAk3uY6mCUbw3MgimpBW1Oe93zLv/3pfQd5+vgEac+lI+Hih8rTxyf40/sO8ul3rsho5mwRfdttatNc6q3Vn+WGy3oBuOajdzFaPH2rvg6Hhz/yxim3/cibr2oEzds/dAfutP+E+gizmZmqfktEthAv8AM4uJrtMcYYs/YtNFieUtKtloO8ExhU1SXPNV6s5rSDkxMVPEcYLVbpTCXY1p2KKxQkXC7q7WDf8TxdaY98OWCiEuGHyxO4CHEN5yhS0gkXUMKIOStjuCIkPKESxm376pPHSXoOvZ1Jfnv3FXM+74NHToEq+bJPGCmuIyRdiY+vjKyIvHWG4wL0rFQj5mN6qTdHhGpTf3CIA+XPvHvXGYEywGgx4pqP3nVGwFxX3+WxeWQ61IVtY75e1Gq5/yFxaUkBPiUiv6Wq/7CqDTPGGLNmLTRYfquIDKrqk7XV6HuI17n1isgHVfXvlq6Ji9NcAaM/m+bRo+O4Tpy20Jl0Gc6XmSj7KEKx4lOsBISRkvJcMgmHk4XZt6RejImSz8l8me50AtV4k4u5BhVFhO6MR1isEqkyOF4knXBJzbMG82QloORHjbSSKFSqoRKuXCGKbwFvbnHd/SvViPloLvUG1BbmRSQ9h73TFvRND5RbHd/2oTvOuI0fKq7EgbICP3mVbSQ3i/8CXFc/KReRzcB9gAXLxhhjlsVCg+UfVdVfrv38i8ABVX2LiJwP3AW0TbDcXAEDoLcrSb7kM1kOGJmoUA0VVSVS5enjBSJVetJeLa95fhUuFiqVcFGUfMnHceIUCyGu29uaUvUjQoULsmn6sxkqQcRIocpf7znCH7y1ZVW/+N5Nwbgjpy/rCs38q+ovrswzLd5Sl3qbKVCGM+s2//Njwxw4/g3u+sBrF/Q8a5wzbfZqlAXWizfGGGPmY6HBcnNR4NcDtwOo6vH51ktebvXUi396dJCulAsIqnGaQ9kPmawGlKrT81DjiGW8FJB0lzeAbGxeUku9cB2HTMLFc4UTE61rLgcRVMKITZ0JIoVDI5OkPIfOpMsjx3JzPq/UnlmZ+vpkWbKyZ3j+Fjuw1aiqzlUzd8XMVOrNj+Ljy23fcJE33mIB8wzuFpF7OH1C/nbgzlVsjzHGmDVuocHyuIj8FDBIXN3i3dDYbGLuVWbLrDn1oivpcmy0hOMKA9k0+ZLPsVPlOR/DX95BZQDCMGqMUqYScTBfDRRHWqdjXHF+N8VqwEi+QkREpEqpKuSLPpt6UnM+ZyrhUg2COFgmHsmW2vEVct0Mx4Q4NWOAuTeYWDHTS735EYSR8rZrB864bV+H0zIVo9WI8lz2DbfdesdVIyIvIt7l87dqOe+vIu43e4C/WdXGGWOMWdMWOkT2HuC9wP8h3oHveO34jwELiwyWUHPqhSOC4wieCIPjJQbnEShDHEimvOUbJfcEcqXTOwKGkTKwMUPKc1qWCkm5Qn82jUO8BXak9cBaKQfRvP6YvZ1JkDgFQ4i/I7XjK0BV31f/At5PvNX5q4HvAS9fkUbM00fefBU3vnIrSc+hEkLSc7jxlVsb1SyaPfyRN9LXYdkAy+hPgAkAVf2iqv6Gqn6AeFT5T2a9pzHGGLMICxpZVtUDwBlblqnqPSKyY9GtWqTmzUcCVS7cmGZsssqp/JnbVc+mPFfR40WoP3TCiVMr/CBCVTm/J0XJD+lMOJwqBfhhhAhkEi792QwvuSDLMycm8Bzww6iRWpJwhHAeeSPndacYHCsSUqvfJ3EnOK977lHppVKbgXgX8JvEwfK/U9W2rLHcXOptLtOrXix0RNnMaJuqPj79oKo+JCLbVr45xhhj1ovlqLP8G6zySE9985FsJtHYqW9zd5oTE5U5CyYv9eYjcz1XqJBJCCLC8ESFgQ0Zrr+0j2qoHB6ZpCvlIkChEjKwMd5t7yuPDeKK4HhCpIIjimhc2mwuEcIFvR1Ug4hKEJHyHJKeQ9RyPHtpicivAr8GfA3YrapHVuSJV8gbb/nGWadP7NjSMeN9dmzpWKpmrQXpWa5b9dSvdnXLvQdWuwnGGHPOW45gedVX+O3euYVb7z8MQG+Hx55DEwRRNOtmH3UruR1EoraIMFTh0r4OqiFcsrmLm27YzqGTBf7nNw9xZKxEwhWuu3gj7//xy9jRn6Uz6RFqLYWiJlToTM7958xmPHJFh550gpTnUAkiyn5INrNi+9N8CjhBnHP6laYFoUK8wG/2ch5t4DUfv4/nxipL9nh3feC1ZwTZO7Z02OK+qR4Ukf+oqv+r+WBtx8+HV6lNxhhj1oHliJBWffuxHf1ZbrphO3+95whPDhU4rztFEIYUKnNvB91qS+PlECkIQsKBSqj0daW46YbtANy37yTXbOvlNS/2mCgH5Eqn6z13JF0cR4g0Tt2IAMdx6EjOvUjvyv4sHQmX4/kK+bJPTzrBtr4Otm3qWq6XOd32lXqi5bDUgXKdBcZz+nXgSyLy85wOjq8FksC/WbVWGWOMWfMWFCyLyAQzB8VCm0yJ7ujPosDGjgQjE2XGiv68UixWKlAWIOE6BGFEyvO4+sIN3HTDdnb0Z7nl3gNTakPXv9+9dzh+XSKc152iEkZUg3iTjJTroPNIw4hH3Yvs6O+hO306EN+9c8tyvtyGcy3t4i++dZDb9hyNT1Y0YrK66ueC65KqDgOvFJHXEu8WCnCHqn59FZtljDFmHVjoAr/upW7IUts3lOM7z4yiGjGUr8y5M95KcoiD9jCMNxfJlwMyTbV7mxco1nWnPQbH45HxRipF5uxTKeqj7vXtvwc2ZHj7dReyoz+7lC+xpTlOtFRV22bL67/41kE++bVnSLouGoYUl2GTw+duftPSP+gapqrfAL6x2u0wxhizfqxYoupK+9yeIxTKPqeK/ormhcxWIxlOV79Q4rq9nUmHVMIl6bncev9hbrph+5QFinUT5YCBDfGg/WJTKXb0Z1csOJ7uXDjRqvvTrx2kWFVKREvah665qId//NUfXcJHNMYYY8xyWZOFYeujykG4tEHOfDRXb8skHLpTLklX6E46jUC5vjBPieslb+xINtIu7t47zO6dW8iVfHIln0i18XM9VWL3zi0UKiFlP0RVKfshhUo471SKfUM5brn3AB+8/TFuufcA+4bm3vlvvfmLbx1spFwsZR/asaXDAmVjjDHmHLImR5bv3jvMxo4Ew/n5bUCyVJKuEKk2qm70pD0u7uvkVLFKGIEfhjx/qkzYFH2FTUnS9VSL5gWKX9s3hqK87KINU54rqkXlUis+Es1zb+7m3Q37s2lyJb8xor1ao83t6LY9R5flcW1XPnMumav03Adef/kKtcQYY1bPmgyWB8dLXHlBN08N5Vf0ecNIEYHOhEM66eK6DsMTFbpSHp1JlydfyM04SlkP6ptTLQCKfsQPb+9tLMSrB7V37x3m4r5Orr7wdACdK/mNBYCzad7dEM5cPGhizdVHzsZ/uH4rf/Xd+Qfadzw+yG17jjKcL7OlJ82Nu7bypqvP3E4bYNfH7mEofzpxur/HY8+H37CgdhpjjDFmftZkGsbAhgzFSkjCWbmSz82VNkJVglDpSHj89Esv4LptvXSmPEp+vCV1vVn11hWr4RmpFtO37G5O0xgcL9Gdnnqe07wAcDaLue96ccfjg5Qq4YLu+5mzDJRvvms/+ZLPeV1J8iWfm+/azx2PD55x2+mBMsBQPmDXx+5ZUDuNMcYYMz9rMljevXML+4cLK7o7iuvEOcoJ16EaKtUgoOgHfG3fCZ4aytOd8kDjgLqeMaGcDrCzmcSUVIjB8RKVIOB7h0b56lPH+d6hUSpB0KhgMVGeGjhNH5VuZTH3XQ/ueHyQ//zFvQsuIXg297ttz1E6U158QuQ4ZDMJOlPejCkg0wPluY4bY4wxZmmsyTSMHf1ZLtyY4cjo5Io+bxiB5woolAMoVwKG/ZDRgnAiX8apLfATQGpD0Qr0pBNn5P6lXGHPoTG60x7dKY+yH/L9Q6fYdUnvlB0Km2slv/26C+ds42Luux7ctufoGScTZ2uuiih1w/ky53UlpxzrTrkrnmtvzHKyvGdjzLluTY4sA7zkgiz+fPa3XoT6L0+ATMKlrytJOuE2RrQTnkvKcwFhtFAFwBVwnPi+jhNf7kidufOecua+4fVUj/oCwGwmwVCufMao9GwWc9/1YDhfXnT1i7kC5XoVkp6Ux8S0dI+JSsiWnnSLexpjjDFmpa3JkWWIR1A/+bWDy/b4DpD0hEoQR0ahKgMbMlSCiPFiFSeCQsUnUsERJQojoggySZdqEKGipBMuvR0JOtOJMx6/GirXbd/IoZEihXJAV9pjR3831VopjcXUSl7NOsvtzl3m3J2eFI0qJKmEw8lTca54d8plohIyWQl43+suPeN+/T3ejCkX/T1r9l/YGGOMaQtr9pN2uYNBxwHXEbpTDpOVEAEOjUwShIpGIA5UgjhAhtO5rMVqiOtAynPoz6aJIs4oCwc0NibZdUlf49j0jUrM0to3lKPiL2xh33ykXLhgYzejhQqbu9PsHNjA5q4Uo0W/UQ3jfa+7dMZqGHs+/AarhmGMMcasgjUbLC/nRhsOsKUnTSWIcEXIJF2CCDZkkvR2Jtg7mKPkRyRcSCddCtU4ABPiHfxChWI1YjhX5pptvbxz18VnPIflFq+8u/cOk056CJUl3Yjk137sMr761HG6Ux6VIOKZk5Ns7k7TnfYoVBJ8+p3XzutxLDA2xhhjVt6aDZbv3ju8bI+dTjps6kyiQKES76J31UCW7Zvj7aYPDE9Q9iOqIVTD0yOVjsCGziSlakglCPEj5bd3XzHjKHg9t7heKm5gQ4a3X3ehpU8so8HxEn2dSY6OTuIvcbp7TzpB2Q9JeQ6F2gJCq0JijDHGtL81GywPjpc4rzvJiYnqWd3PAZijmsH5PWmqkSIIuy7pZXiiwsWbOhvXh5ESxQ+DIzR27FMg4TokMg5+4FAJddbg13KL509EdgOfBFzgf6vqzWf7GAMbMvhByLNpj9Hi0pRk25iJF2++6LxOHj4yTiWI6El7jbraNlNgjDHGtLc1Ww1jYEOG/myGzFmeDnSmXHb093BhNjWlGoXUvi7Mpnj5xb3c9Ws3cOev/Sh/8NareckF2SnlxoJIEcCr1V6uP45q/BWEStlXLtrYsbgXaQAQERf4M+CNwJXAO0TkyrN9nN07t+A4Dq+6bPOStGtbb4rXvPh8ciWf3s4UV2yJZx56ahvMWBUSY4wxpv211cjyUowO1u3euYXHnx+nrzPNyGSZuUrnugJ9nUleMpDlt3dfAcB/+MyDjBd9IlU8x6En43HNtt4zps6n5xdDHCi7tfxkzwE/ikeWK36IiJBJufzKay5Z6MszU/0w8IyqHgIQkc8DPwM8dTYP0pz6knSlUXlkJk6tjt+GjgSvvuK8loHvvqFcI5Vm26Yufvk1l1qAbIwxxpxD2iZYbhodfD3wPPCgiHxZVc8q4Knb0R8HvZ/bc4QHnh1htFBlshqiSq0ahSAIfhRXNO7PpnjlpZt4566LG8HM//umHXzq68/ihxF9nUn6s2kcx2lsSd38XM35xRs7k2gU4TgOlSAi5TmUqwGVUOnKJNjSk+bGXVtnrHpgFmQAONZ0+XngFdNvJCI3ATcBbN26dcYHqqe+XL6lk/f/3aPMFC8nHRBHiCJ4xfbeWUeILZWmvS3lCboxxpi1qW2CZZZodLDZjv4sH3vr1Y3L+4Zy3Hr/YbKZxJQKE62CnTddPcAlm7umLLLbvXNLywV59eN3PD7IzXftpzPlcUGtfq4jwkffeIUFyMtjpurIZ4S5qnorcCvAtddeO2vBizddPcDzp4rcev9zlPx4EWfShWpIPDOQcLnphm2859WXLc0rMCtuqU/QjTHGrE3tFCwv2ehgKwupMLGQkcF6QHzbnqNz1s81S+J54KKmyxcCLyz2Qd/z6su44fLzuHvvME++kCNfDshmPK7sz7Y8aTLnlCU/QTfGGLP2tFOwfNajgyJyUkSOLOZJf2N+N9sEjCzmeW5fzJ3PtOj2nIUzi0C3nweBy0RkOzAI/Bzw72e7w8MPPzyymL6zUv1mGaxUm86FfnPWJ+hAQUT2L1N72rG/zKTRznn+H8xqhsc4F/qOMWYdaadg+axHB1V1acoWzEFEHlLV+e0csQLarT2rTVUDEXkvcA9x7ulfqeqTc9xn2ftOO/6d2rFNq+isT9CXtTHnyN/mXGmnMcYslXYKls96dNCYOlW9E7hztdthzinLkr5jjDFmbWmbOsuqGgD10cF9wBfmGh00xphFaJygi0iS+AT9y6vcJmOMMW2mnUaW23l0cNmnYM9Su7XHzKwd/07t2KZVsZD0nWV2rvxtzpV2GmPMkhDVWStoGWOMMcYYs261TRqGMcYYY4wx7caCZWOMMcYYY1pY18GyiOwWkf0i8oyIfGiG699Vq+X8aO3rl5quu1FEDta+blzBNt3S1J4DIjLedF3YdJ0tVFpG7dZ3rN+0t3brLwtso/UhY8y6tG5zlmtb3R6gaatb4B3NW92KyLuAa1X1vdPu2ws8BFxLXJf1YeAaVT213G2advv3AS9T1f9Qu1xQ1a7FtMHMrd36jvWb9tZu/WWhbZx2e+tDxph1Yz2PLDe2ulXVKlDf6nY+3gDcq6pjtQ+te4Hdq9CmdwB/twTPa85Ou/Ud6zftrd36y1K00fqQMWbdWM/B8kxb3Q7McLt/KyKPi8g/iEh9A4P53ne52oSIXAxsB77edDgtIg+JyPdE5C1L0B4zs3brO9Zv2lu79ZfFtNH6kDFm3VnPwfJ8trr9CrBNVa8G7gNuO4v7Lleb6n4O+AdVDZuOba1tQ/vvgT8RkUuXoE3mTO3Wd6zftLd26y8zsT5kjDEtrOdgec6tblV1VFUrtYv/C7hmvvddrjY1+TmmTYOq6gu174eAbwIvW4I2mTO1W9+xftPe2q2/LKiNTawPGWPWlfUcLM+51a2I9Ddd/Gnibbgh3vHrJ0Rko4hsBH6idmzZ21Rr1xXARmBP07GNIpKq/bwJuB6YcXGOWbR26zvWb9pbu/WXBbWx1k7rQ8aYdaettrteSa22uhWRjwIPqeqXgfeLyE8DATAGvKt23zER+X3iDxiAj6rq2Aq1CeLFNZ/XqaVMdgB/ISIR8UnQza1WspvFabe+Y/2mvbVbf1lEG8H6kDFmHVq3peOMMcYYY4yZy3pOwzDGGGOMMWZWFiwbY4wxxhjTggXLxhhjjDHGtGDBsjHGGGOMMS1YsGyMMcYYY0wLFiwvARFREfnjpssfFJHfbbp8k4g8Xfv6VxF5Ve24KyIPi8gNTbf9qoj87Iq+ALNqrO+YhbB+Y4wxK8eC5aVRAd5aK8g/hYj8FPAe4FWq+mLgl4G/FZHza9vF/ifgz0QkISLvAFRVb1/JxptVZX3HLIT1G2OMWSEWLC+NALgV+MAM1/0O8FuqOgKgqj8AbgN+tXb5+8ADwO8CH6sfN+uG9R2zENZvjDFmhViwvHT+DPh5EclOO/4S4OFpxx6qHa/7z8CvA3+rqs8sXxNNm7K+YxbC+o0xxqwAC5aXiKrmgc8C75/HzQVo3jrxBiAH7FyGppk2Z33HLIT1G2OMWRkWLC+tPwHeDXQ2HXsKuGba7V5eO46IdAIfB14HbBaRn1yBdpr2Y33HLIT1G2OMWWYWLC8hVR0DvkD84VX3ceB/iEgfgIj8EPAu4M9r138E+IKqPk288OYWEUmvWKNNW7C+YxbC+o0xxiw/b7UbsAb9MfDe+gVV/bKIDAAPiIgCE8AvqOqQiFwJ/BvgpbXbPioi9xAv0Pm9lW+6WWXWd8xCWL8xxphlJKo6962MMcYYY4xZhywNwxhjjDHGmBYsWDbGGGOMMaYFC5aNMcYYY4xpwYJlY4wxxhhjWrBg2RhjjDHGmBYsWDbGGGOMMaYFC5aNMcYYY4xpwYJlY4wxxhhjWrBg2RhjjDHGmBYsWDbGGGOMMaYFC5aNMcYYY4xpwVvtBizGpk2bdNu2bfO6bdkPyZV8/FBJuEI2kyCdcJe3gWvAww8/PKKqm1e7HUvtbPrOQs3U5wBGJ6sUqyEAHUmXvs7klL6YK/mMFqr4YUTCdejrSjbue66wfmMWyvqOWYi12m9Mezing+Vt27bx0EMPzXm7fUM5br3/MNlMgu60x0Q5IFfyuemG7ezoz65AS89dInJktduwHObbdxZqpj53bKzIRNlnpFClK+UiQKESsrWvg9/efQU7+rPc8fggN9+1n0tTHt0pl4lKyGQl4ENvvII3XT2wbO1datZvzEJZ3zELsVb7jWkP53SwPF937x0mm0k0Rufq3+/eO9z4PjheYmBDht07t1gAbRZtpj73SKHC8VyZ87Pp0yPJIoxNVrl77zA7+rPctuconSmv6X5xptRte46eU8GyMcYYs1asi2B5cLxEfzY95Vh32uPJF3IcHSuSzSToz6bJlXxuvf+wjTibRZupz1WCkHIQkvJOLxVIeQ4T5YDB8RIAw/ky53Ulp9yvO+UynC8vf6ONMevGLfcemPX6D7z+8hVqiTHtb10EywMbMuRK/pS8z4lyQL4ccOHGjhlHnC1YNosxU59LeS5pz6USRI2R5UoQkfQcBjZkANjSkyZf8hsjygATlZAtPVMDb7P23PH4ILftOcrR0UkcR+jrTJJJeogqKkKpGnA8V6ZYDRBAABUhnXD54W0bed+PXdZ43/roV57gCw8NUvYj0gmHt107wEfefBX7hnI2k2aMMWdpXQTLu3du4db7DwNMyVnOZjy601N/Bd1przHKZ8xCzdTnNnWlSHkOI4UqqkrZDzlRqJLyHE5OlPnoV55g//EcuVLYeBxXoCvt8b7XXbpaL8WsgHquuivghxHVcsRwrszGDo9qAKmEMDrpN8oXBRp/d4n7yP0HRhgpVPm9n3kJtz90lNseOIrrCCkXqkHEbQ8cZbRQwXE8m0kzxpiztC6C5R39WW66YfuUEZW3X3chd+8dboz+jRTKPHNikpFChb6uFHc8PsiB4UmeGsqRKwX0pD1eckHWRmLMvMzY594QT2v+9Z4j7Dk0ykihypaeFNdcvJEDw3keOZpDZOrjhAqTlYDnTxVX4VWYlVLPVZ8o+3iOUBXwXIdcKSSbSZAr+fFosghBpI37KRAppBIuz41OcvfeYb7w0GAcKNfSfVJOPINx5xMn+Pkfudhm0owx5iyti2AZ4uBlpg+EW+8/zKnJCk8fn0BESDgOHZ7EFQk2dTCUryAi5Is+HQmXW+8vzmskxqY7Tas+9wdvvZpb7j0wJU3jXx4fwnWEahgHQo6AajzV3pVKcNueo7zn1ZetZPPNCqrnqo8UKiTdOCBOOFCslR0MIo3TLlC06X4KBJHS7QmFSpz7XvYjUtOqYiYcKPpqM2nGGLMA63pTkvro31C+QhhBTybByy/eQClQOlMeB09Okk64ZDMJUgmH4xMVsplEo4pGK/WyYbmSP2W6c99QboVemWl3g+OlKYFLJYhI1P4bmweXIyCTEHIlf0XbZ1bWlp40E5V48WcYKZ4j+BG4IvhhfBlAkCn9QwDPESqBkk64DGzIkE44+NHUx/ej+HYT5WDK8Yly0MiXN8YYM7N1HSxDHDBv7e3gjVedz65L+tjcnSZf9ulOuRQqwempTM+hUA7mNRLTXDbMEWn8PFeQbdaPgQ2ZKYFLyjsd4DSPHDpAyddzblMSc3Zu3LWVyUpAwqmlWSgEYUQ241INIrIZDwVUFbcpWhbiWYiKH7Ktr5PdO7fwtmsHCCOlEkREUUQliAgj5SevOo9cySdX8olUGz/v3rlltV62McacE9ZNGsZsplcu6EnHOYJJ1+HIaJFQFVeETd2peY3EtCpVZ9Odpm76AsAXn9/FI0dzeA4EUZyHCpD0oBqG/Mqu7avYWrPc6jW0b9tzlPLoJKmEy7bOzinVMM7Pnq6GkeZ0NYyE53J9UzWMj7z5KoB5VcN4+3UXWnqYMcbMwYJlzgxczu9J8dzoJEJcG9cRIVAlV/Q5MjrJb+++YtbHa1WqzqY7Td30BYDXv+g8rr4wy91PnuBEvkwUgesKfV0pbty11fKV14E3XT2wZBvPfOTNVzWC5mat8uiNMca0ZsEyZwYu2zYg8f+KAAAgAElEQVR14QcRg7kyE2WfchCR8hx60gkuyKbn/LBpVaru7ddduBIvx5wjZgpcPvLmVWqMMcYYY2a0boPlmapVNO9Y9Eu3PRjnkSY8NnV7vGhzJ31dKZ4+nueWew/w/UMjHD1VQhUu6u3gxl1bG6NCrUrV2YiOMcaYc4Ht8GfMaesyWK5Xq2hVnH/fUI7nT8X5xT1pj4of8oOj45zfneR4vorvhzz1Qh7HcXAEnh+b5D9/cS+ffeAIl57XFadvhMrAhgzvftU2C5LXofmWDtw3lOOv9xzhgWdHOTFRphooItCRdHnlJX28dGuWrz09wuGTBQqVgIofocSLuno7k/zSj26zFA1jjDFmGa3LYLm5WgWcWZz/7r3DdKUcnnxhgjCKV5+7rnB4ZJKLezt4cihf2xwgohpE5MtKxnN59mQh3p0NeMUlG22HrHVqrpOx5tv90T0HeHooz9hkhXIQ19AVoFAO+OpTw9z39AmyHQnGJquETWUyQoXRQpVP3HsQwAJmY4wxZpmsy2B5rmoV3z88yv7jBZKuQ1VDKqGigZJ0hUzC4dlivO1s0nNRVVTBjyLKpYiBjR0AHDpZ5Ecu6QPO3CHLNixZ2+Y6GWu+3UihQhBpY1c2qX9JXBVDI2W86Mc7+zUFy821dm3DkrVvtveM6dddvqWTB54ZZc+hUUYnqwCk3LgEpuMIW/s6p6SNGWOMmd26DJZnqlZxZGSS4xMVPnj7Y+wdzCEKXRmPfElxHMUPFD9Ujp4qEUWgEk+FRxp/AClxLFOvy5wvx5tITC8ZN99RR3Pumm/pwMHxEpUgJFSlVlqXekxcj4sjjQPmmQqi129vG5asbbO9ZwBTrntupMDfP3iUKIqYrIT4kRKGSg7wBDrTLidyJW6+az+ABczGGDMP6zJYnl6t4sjIJI8cG+flWzfQn00ThhGhQqkaEkRKFCmB1rchFhziafCKH8YPqIoiZBJCJYh3lnBF+N6hUUYKFTIJl//yxcephMrRsSL9Pak5Rx3NmUTkIuCzwPnEm9vdqqqfFJFe4O+BbcBzwNtU9dRqtXO+pQMHNmQ4ODyBK9I48YLTo8sQn5A5jqCqU3cr4XRgvZ43LBGR3cAnARf436p687TrbwFeW7vYAZynqhtq14XAE7XrjqrqT69Mq8/ObDMV9cv1Y8fzFYJQKfkhCCTceAfAeLZCCELFj5TudLyFugXLxhgzt3UZLE+vVnF8osLLt25g26YuADZ2pcgXffwwDnyj2qYkqaRDfzZNyQ+o+hGK4DmKH4GjSjWAZ08WyCRdOhMuQaSEkTI+WWXPoTFecclGxgpVcsUqXWmPTV3x6KNtWDJvAfCbqvoDEekGHhaRe4F3AV9T1ZtF5EPAh4DfWa1GdiSF//Pd5ylXQ1zXYUPGBSCd9PjHh48xWQmphmG881oQ4YdT42AFotpufqFCGOoZz1EfffZDZfdLzmscnyvFZ6brIQ68nnwhR74ckM14XNmfbdy3XdOGRMQF/gx4PfA88KCIfFlVn6rfRlU/0HT79wEva3qIkqr+0Eq1d6Fmmqko+wHfPzxKsRrSlXQp+yGjk1UmykFjlmI6P1L8qjJZLSOUcYgrHrTL39MYY9rVugyWYWqN2w/e/tiUD6MfujDLtw+O4DjC9o0ZDp6YBJQt3SmqQUTCddEoTssIoniIMyKeLlc/IgxD0l4G1xEmKwFlPyQqVbnriSodKZekIzxzYrIRLNuGJfOjqkPAUO3nCRHZBwwAPwO8pnaz24BvskrB8h2PD/JX33mOUBXPFSpByFA+JOkKvQonC/FCPU9AFcJFPJcAL97SyaliyL6hHMCcVV6mX//xu/fjiNCZdHl+rAQCuWKVjoTLrfcX+fEdm7lv38l2TRv6YeAZVT0EICKfJ+4LT7W4/TuA/7ZCbVsy02cqTk6UefDwKbrSHk4SDo9MUg2jxmzETIHydErc975zYJijY8V2+XsaY0xbmikVct0Z2JBhohw0Ll+2pYdrLt5IZ8pj0o/IdnhcsCGDAqOTVTZk4nOMoCnYEcB1IJN0CSIh4UAYKWU/TuUIVZms+iQcYWzSZ/BUkUiVXMknV/IbI3xmfkRkG/Eo4feBLbVAuh5Qn9fiPjeJyEMi8tDJkyeXpV237TlKEEFX0mVjZ5KOpIsjcV8Yqy3U85x4xLiecyxzPeg0ngMdSYfN3Um6MnFKz917h6dM1zsijZ/r0/UzXT82WWWkUOH4RIVUwiGbSZBOuBzPV8hm4qn62R5zlQ0Ax5ouP187dgYRuRjYDny96XC61h++JyJvafUkK9FvZrN755bG+0SkypMv5FFg50APjiNxX2psjz7/t3QB9p+YbKe/pzHGtKUFjSyLyMdU9cNL3ZjVMtOOexs7U/zljS8G4K/3HOHbz4wyWQnp7UyQLwVECEkXqrV8QM8RIo2DYhHlyFiJnkyCsh8hAgnXwXXjfMG+riSVMGIoV56yYUm7TncvJxFJADuBQVU9Mc/7dAH/CPy6quZF5hduquqtwK0A11577XwG4M7acL5cO3GK2xREWguW45kHIc5716bxv7NtiNaCozBSCuVgShrPbAsLZ5rOrwYRSjxL0pWK00VSnkO+7NOd9hjOl3nF9t6Wj7nKZvrDt/p1/hzwD6raPJi/VVVfEJFLgK+LyBOq+uwZD9ii3yzH/2urx2xOG/ND5RWXbGRTV5owypFJOEyEEX4EQT1/Zx4UKFRCbnvgORzgwPE87//xy854DSv5Oo0xph0tNA1jN7BmguVWO+7B6Wnt61/Uy917h3l+rBinXTSXLIDGaqtqEFFfi+U5cQkwP1QgIpvxKFVDurs9XrSliz/62Zc27r5eqmSIyP8EPqWqT4pIFthDPEDfKyIfVNW/m+P+CeJA+W9U9Yu1w8Mi0q+qQyLSD8wr6IbZc3jrxzqSwteeHmE4X6Y75bF1Y4aOdIKkK4wXqzx9fIJ8OaAr5TJerDJRDhuL9ZrVR//C2g8LjdZDhZIfUfIjRid9nhrKn3GbOCiHzpTLVRdk+fAXH+eb+08QRvFmOVdfmGVzd7oxEplKuFT8kHTCpRJE9KQTTJQDtvSkmSgHLRcrrnLQ8zxwUdPlC4EXWtz254BfbT6gqi/Uvh8SkW8Sz1ScESzPZDn+X+d6zPrj3nLvgUYFlK60R8pzKRDPjC2kT9VTMr7+9DAnCxV+/y07p5SlW+nXuRgicr2qfneuY8YYczYWGiy7IrKRFjPIqjq28CatjuYPo7pb7j3QtNI8wQUbMhwbKxJEEa7SWACoQBDGO6+pKgkXXJxa0KS1SgdKrhSQ9OJFgldOe6751uZdA35UVX+59vMvAgdU9S0icj5wF9AyWJZ4CPkvgX2q+ommq74M3AjcXPv+z/NpyGw5vBf1dtCfTfPo0TEePHKKLT1pOpMOR0eLPDc6ydUDPRwdKzM6WcGVONgcLVQpVkLmP7a3fJQ4qM6XQ753eIyDJwr0diQYzlc4OlqkUAm4eiBLb2eykbN8YLhAJYhQVbb1dZAr+dy4ayv37YtTD+qzLrmSz9uvu3DOkmYr4EHgMhHZDgwSB8T/fvqNROQKYCPxiVn92EagqKoVEdkEXA98fL5PvJD/15nqIR8YnmxcPnA8zwu5MiMTZXK1tLDOpMeJXImLN3XyyLFxKn5INYg4VfTjSikC5SAkWOQ8Sb3Cz7Gx0pTXsBzvS8v8Xvcp4OXzOGaMMfO20GD5xcDDtJ4GvWTBLWoj06et61PoniOUqyF+U1SkxCOHAoSRkPSEMFI8gXIEouC48dT5dw6O8MjRU9z+8DG29nbwiu19PPlCjh39PVOev42mu5dStenn1wO3A6jq8XmkU1wPvBN4QkQerR37MHGQ/AUReTdwFPjZ+TRkpg/tsdomDjsH4g/tgycnSbou1SCiEkRkki5hpDwxmCeTjNMWFCGdcCn57REoN3MlDoImqwHbN3eRSricyFfIlXyOT1T4vZ++Eoh/F0U/bFTD2LapqzFKfMnmrjNmXXb0Z6edTJ5Z0my5qWogIu8F7iEuHfdXtRmLjwIPqeqXazd9B/B5VW0OKXcAfyEiEXGseHNzFY25zLeWdl3ziYXnwF1PDPG/vl3ioo0ZXrZ1A4dPFvjWwRG6Uw6nigEi8XvJZMVnz+ExnhrKE6oyUQ4XPCMxG8eJ37/KQTjlNZzt65yP5XhMEdkFvBLYLCK/0XRVD3HfMMaYBVtosPyUqr5s7pu1j4VMF09fhR4pbO5KcjxfpjpDVOTVApOEJ2QzHmU/Yqx4evQ5rFXQEIGSHyLi8PixUxwZKTA26fO9Z0fZtqmTl16UZVNXeq1WyRgXkZ8iHgm8Hng3gIh4wKwvVlW/Q+v1cD92tg2ZLYe3brIS0tFUPzvpOjgCuXIUpzAoRLXbR5EuSyCzFOo7BHYkPS7uc8mXfbb2djT+B2b7X5hp1gWWJ+g5W6p6J3DntGMfmXb5d2e43wPAVQt93vnW0q6rn5hVg5BHj+UYL1VJew7jxSqPHsvhOkJHwmVs0sdzpbEGohJERAqnSkGjrvZyCCIaay+aX8PZvs75WI7HBJJAF/FnWnfT8Tzw7xbzwMYYsy6qYdRHdXIlf8p0cb3cVivTV6EnXKFUmwZ1iH959chNiKtjKFCsxrtn1Rd5AaQ8iUeLaiNGQVTbMCCCExNV0ol49PLA8ARf+sEgd+8d4sjo5FqskvEe4L3A/yFeoHe8dvzHgDtWsiHTq6BAXE0g5Z0eiOpMuZR8JeU5JD2nccKT9pz47yvxbAPEm4ecbWWLZVdrkNfUFytBRMpzF30iNtPvbyFBj4j82xbHkyLyXxfewuUz/b1hrqo2g+MlutMez5ycJOU5RArphEOo8YLK4XyZLT3J2kmNNmaqps9eLScFxos+B47nG++Nl2/p5HuHRvmXx19gz7MjPDdSWHT1nrP93c2r7arfUtXfA35EVX+v6esTqnpwwQ9sjDEsPFj+5EwHRSQtIvOaAl9Jc5XUaqW+8C+bSTCUK/OSC3rwXIeI2lbXnP4Am/5BlisHjBbiKX0hHpFUje8X1r6X/RDV+IMx4Uq8hbYTLwA7Vaw2grC1RFUPqOpuVf0hVf1M0/F7VPU3V7ItM31o93Ym2dSVahy7bHMn1TAk6TlsqC3QLAchVw30kHTjoFqISwS6IrhtdPrpAigkJM59LVcDStWAiXLApq7Uok/EljDouUlE7qrlHgMgIm8EHgf6FtXIZTL9vSGbSZyxQG3fUI5b7j3AB29/jKNjRY6OTlIoB40Tr0oQn4Slaossi36E60DFj/tTpPEi4brl7loOkEk4HBqZ5Nb7D3PH44Pct+8kl5/XRV9nkrFJn/3HC/z4js2Lyi2ez+9uEVIicquIfFVEvl7/WooHNsasXwtKw2gOcmq7aP0EcV7gG4BvU8tDbReLmS6ePgX9S7c9yEihQsUPkRY7ZdXVkyEj4q2zw6YKGvHoshJF4LpC0Y83rshmElRDpa8rxUW9HWtugZ+IfIozN6wbAb5RS7NYMTNVQfnt3VcAp6th/NDWXl75or5GNYytfR2NahjbNnVNqYbR15Vkx/k9TFR8HjuWY6ISVylLOsKGzgRoXGs5WIHEZkfAcx0u2pjhZ68d4MhoiUeOjSMIuy7p5Rd2XbzoftWqiszZPq6qvkFE3gHcJyJ/S1xKcDPwdlV9bFGNXEat0lMgDpQ/fvd+xiarVIOIMFKOjBTY0JGk4kNX0qNQLrOpK0nFD+lMugzny2zIeOTLcb8JowjXcQiiqLZdNUs+vOxKXObQdeLUj0zCZXSy2qixfWV/D9lMgu2b491NcyWfA8OTvGmRzzvb726Rbgf+J/C/OYs9f0Tkr4CfAk6o6s7asV7g74FtwHPA21T1VG2h8SeBnwSKwLtU9QdL+BqMMW1mwTv4icgNxCvP3wT8K3H+6XZVLS5R25bMUubIveSCLINjBfafmN/LrMdF01er+xFEGsXXh0oQKg5QCSo4SG3kKWBwfOo09xrw0AzHeoE/FJG/V9U/WcnGtPrQnn7sPa++bKWaNMW+oRyf23OkEehu68uwoSNJNdS2qE+7hEHPF4CXAB8AxoHXqeqBpXjg1fC5PUc4OlqkK+3RnfaoBBHFqosfxiX/NnYkuP7SXl7IVThV9OlOJ9jW10EpUAbHJsnVtq12BC7Z3MWxsRLFarjkecueE2+DrapUgtpaCoRvHzjBsVMlnjh2ikDjNJ6ulEdP2mu8l82n782nNOMS9+FAVT+9gPt9Bvj/gc82HfsQ8DVVvVlEPlS7/DvAG4HLal+vAD5d+26MWaMWuinJ88RVBz4N/FZt6+HD7Rgow8ybjtTLX52tjqRw5FSZtOdQCaJ4tHiBQm2UZ27UOpUIECXhCN8/dIpdl/TO+hjnGlW9babjtfrLDwArGiy3s/ro5NHRIl2puNrG/QdG2NCR5FWX9a2ZWtwi8irgz4HvEtdNfjXwFRH5e+APVLWymu1biEeOjdOVckkn4lSddMKlrzNBNVL+7G0vbQSLrzk/y+6dW/jL7zxHfzYdp15dEmeeRKrsG8rTnU5w+XndPHuiwJGxIoVKiCsgElfcWehEhQNEGi8k1KZZMlHludEikcalaxyBMFSqQZVTxSoX18oKztX3Ziot+Ef3HCBS5eK+zuWqJ/8VEflPwJeARr+Zq5ypqt5f2xW02c8Ar6n9fBvwTeJg+WeAz9aqq3xPRDbU67wvxQswxrSfhY4s/yPwFuDtQCgi/8w8BzxE5CLis/fziQdeb1XVT7aa8lpg+6ZYiuni+gjJ33z/CC7CUhVwUuKpUCWutlEPnI+dKtGRdBulzNY6VS3Ndye+9eLuvcOMTVbpSnukEy4jk1VSCZdqGHJopMiuWlC1BlJ1/gT4JVX919rlfxKRe4GPAI8Rl6pse82jqCcnKvR2JEgnT7/Fxtuby4yj8fXZLz8MeebEJPmyT9J12HlBD7+w62Lu3jtMwnPpSCd44VSJCzakOTQySdIVcqWgtv6hlqpBvOg0aNoZpxEIQ1zWMlTSCYdCNWpqW7yosHa+3jjmCvi1N6aUI+SbZulm63szlWZ8pBDHr1dfuKFxbK7HOUs31r7/VtOxhZYz3VIPgGsbHp1XO95qm/UzgmURuQm4CWDr1q0LaIIxph0sNGf510Tk14HXEucq/yHQIyJvA+5U1cIsdw+A31TVH4hIN/Bw7YPxXcw85bUkFjNd3DxCUvZDqmGESJznJ6qLzkENFZLu6dXv9Q89AX5wbJx9Q7lzPRiaVa1s3DuJP3TWpXqg9f3Dozx7okCxGlAN432tO1IeXSmP8WK1sSPk/uN5xgoVRgoVSn7Ilx8d5JWX9i1JLvIq+GFVnfJfpKqTwO+IyGdWp0lnZ/ooam9HkhfGS0htQXEliChUwpYzRbt3buGP7jnA4ZFJPAfGSz7FakiuWOWVL+rjA6+/HIAP3v4Y1BZTFisBY340dWRZ6+skdEqA3HQ1lUBrucoOaS/Oiy5WI0TidItqqFMWLguC1I50pdy4XzL3uo+Z1opUgjjNo9lSlhtU1ZXYEWfe26y32irdGHNuWXDOcm0K6uvA12tbEO8mDpz/HNg0y/2GqJ2B19I39hGflbea8lp100dI4g8V8EPwHIewtgAnnYw/dBaiGsbvwAK4TvyhlfJc0DUxctggIhOcHrSqKwLfIi4rt+7UA61TkxUeP3YqrsWN4NdGBicrARopJT9q7NpWqoYcHpmMa+N6wqmizzf3n+R4vsIH33D5OdVfVDWqjdr9KnHesgJPAX+mqvtWtXHzNP094tptG7n/QMip2glOynPZvqmTX9h18Yz339GfZUtPiudPFTmeL+MCmYTLqZLPh7+4lzseG2J0ssqTQ3n8IJoS0E4XwZTQbabbhRoHrhdu7KQz5XHwxARBGJHyHPwwbNxPgFTCIaq9QYk4dCXjuhxzrfuYaa1Ic1nGuqWsJy8i/89Mx1X1szMdn8NwPb1CRPqBE7XjZ7PNujFmDVhozvJnVPVd9cuq6gNfIc4Xm/e7Xi1H7GXA92k95TX9Pis+rdU8QpJNe5wsVKn6UTw1WfsoqtdXXgylnkcYf5hVg5C+7tSa2sVPVbvnvtX6Ug+0vnvwZBwEaZyvWq+kEkSQr1XWqM+sJ93T/a4nnWhUVxkpVM65kysRuR74W+JFVp8ljtFeDvyriPy8qn53FZs3L9NHUTd3p3nVZX089nyOl1yQnddCtmqoZDMJIlXGJuPtrBOOkCv5fPPgSahVzqksZqHEtOcbKVTicpiRUg2ZEijXv1eC2rY7EXHOcm+G50YKFCoh1Z4Uv3Tbg42dH6/szzZeZ320/JFChUoQkvJcUp5DZ8ojV/IXvX6kheuafk4T12//AVMX7s3Xl4nTOm6uff/npuPvFZHPEy/sy1m+sjFr20JHlq9udYWqziuyE5Eu4tznX1fV/HzzVVdjWqt5hOTC3k5KfshYMa5SUQ9olko9XzAhkPAcetKJNbeLXy3t4o2czkV9CrhHVddc6Y/5GBwvkXDhVNGfUot7ts5dDeNcUs8REq6DqlINlcq07YrPEX8MvEVVH2k69s8i8iXgLzgHKg3MNIqaTnj8xJXnN1IoppteKSLpCqOTVUrVEM+JT4ziGtbxiXjKEzZmkkxWQ6IleOeLFPLlgO6UT7lW4kKIa72LCNRqwHuOoCjdqQQbOjwccXns+XHO607TmXR5fqwEArlilY6Ey633F7nphu2156g/bvz+3pny+HfXDHBgeHJR5QZbUdX3NV8WkSzwubnuJyJ/Rzyzuam2gP2/EQfJXxCRdxMvaK/vIXAncdm4Z4hnxX5xSRpvjGlbCw2WO0TkZbTYeniumpO1tI1/BP5GVb9YO9xqymvVNVfTuGRzB48eGyfhwIaOZLwAb4lDdgHKgeKHPt2pKpdv6VzaJ1hFInIB8A3iVJxHiF/uTwGfEJHXquq6m84c2JDhm/tP1MoFzl0atl5BJVIIVBkrVKiHJFGk7HPyfPD2x9qitNw89UwLlAFQ1Udr6xra3tlW3JmpUsRwvkIYRkxWAxKOMFEJa+sZhDBQKoFyPFdekkC5ThUGc+XG5YQrOI6QdOMdKq/ZtpEr+7NnnAh8c/8JKkHE8YkKqYRDOuFS9kOO5yvs6O9pbPh0cV9nYzEfnK7T3OoEYhkUiUu8zUpV39Hiqh+b4bZKnDJkjFknFhosDxCPBrVa6PC6VnesFXT/S2Cfqn6i6apWU16rbmo1jYCEK6RTCfxwcaXjZiKcHqlOeg5XX7iB+/ad5JLNXezoz85Yt/QcCIaafQz49PR6yiLyfuC/c3o1+7qxe+cWvvTIIH2dCQbHwzNqck/XPEWuEVRqpb8SjlLyIVf08RzOpdJyIiIbp1e/qVXIaaM9EVs724o7M1WKoLeDlCd8//Ap8mUfzxWEeFOSuqV+v6lvq11XCRUniuu+b+yM0yoGx0t4Djw1lKdQDuhKe+SKVdJJFz9UulJxHnLKc8iX/caCvfFilXzJp1AJ6Up7vGhzJ31dy5tWJiJf4fS/iAvsIK7hbYwxC7bQYPkZVW0ZEM/heuLKB0+IyKO1Yx+m9ZRXW6hX09g3lOOBZ0colIMpeaVLyZE4Qji/J832zV3kSn5jpGb6aNQ5Egw1+5HmfPc6Vf1TEdm/Cu1ZdTv6s7zqRX08+UKeUGE4X55XhZWNHQmK1YAgVDw33oHtot4O0gn3XCstdwvwVRH5IHF+KcA1wP+oXXdOOJuKO612FS1UEnz0Z67kw196EkHxEkK+1LT15xKbcZMTBUQp+8rlWzo5OVHm+4fG6Ep7dKVcKn7IeDlgs+fQ0+lR8UPSCZdKENGTTjBRDki6wvOn4qC4Jx3f5gdHx7n8vK7GboDL5I+afg6AI6q6bqvsGGOWxoKrYSxUbUvjVgnKZ0x5tZP61Ollmzt55GiOih8ueaAM8S/Hc4XNPfGHaX2kZsbRKM6JYKjZbMNKbbmpzVLZN5TjT+87yINH4ooXWzdm+OXXXMKbrh7g4r4M9zw5TMmffz5qX2eSjR0JNnWlANg/PNHoE4VynP69lGW5louq3ioiLwC/T1wNA+BJ4P9T1a+sXsuWz2y7ir7p6gG++8woT76Qxw+VICpB1SeKztwJdLFcJx5Zro9Y12e2Uq7Dy7du4MDw5IwBdWfSJQiV87tTHBguxIsAVdlW27CkI+FwxZYu9teuS9U2cTowXOBXXnvp0r6IJqr6LRHZwumFfgeX7cmMMevGQoPlKSXdajnIO4FBVW2bXOOlVg9Wt/Z20JH0+PYzI/iVuXNM5yvtxfmCfhDXcS5WAr761PHG5gStRqPaPRiaJisib53huAA9K92YlbJvKMd//ae9PH18grTnkHThudEiv/8v+3j4yBj3PnWSlCfkivMLll2B4XwFx4GEG+eMdqbibZUButLxv/ZSluVaTqr6L8C/rHY7VspcOc7v3HVxYxbpqRdyHDo5SRAp1SCk5EeLHmeuB8DNMxiuxHnwrsBrr9jMped1N95bXnHJRg6dLJIv+/SkE9xw+SZGClW2b+6i6IeNahjbNnU1diTc2tdJV9prbLLSk/bIdiSW9cS+Vuv/D4lLjwrwKRH5LVX9h2V7UmPMmrfQYPmtIjKoqk/WVhvvId6tuVdEPqiqf7d0TWwfzcHq5ef3kC/5fPfQrLuonpX61rgouI7gCLgiFMoBL+TKXJBNM1EOZhyNOod8C3hzi+vuX8mGLKfpueUnJ8ocGyuR9lxSiTgN15E4N/RvvncU5f+y9+5xcp3lnef3OZe69K1arW61WldLtmVkjIOJjREMDAEMImSTCZMMkMCSfLLrZDchiYEwyWQ3bMiGDzthwhCSJeNJ2Dgh4ZbbGAw2xsQ4gDDYxpZltd2WJevS6m71tarrfi7P/nGqStWtbqkvVdUXvd/Pp6WqU+ecervrqXOe93mf5/dEChdLJVDIlnwUSBeyOALbu+JMZkvEHZuDA52kC16jZQkb66kAACAASURBVLmagoj83mVeVlX9g5YNpkUsluMM8IkHhxieKZB0LTw/oCvp0pFwyJd9gqAxCRkLnSNUcG3Y09PO9f1dpAte7dqSLni8qpLWU31+40By0UK9auS8tyNBb0eidkz9tatJ/C5wWzVoIyJ9wDcA4ywbDIYVs1Jn+bWq+iuVx78IDKnqvxOR7cDXgE3hLC8k7VTvrJ6ayi+c87dC3vqy7cQdh4efu4BrC34YRQhfujNFzLEp+wHpggcsreJ+PaKqm15maSGlg2+fmCRb8kg4FplCpHKgYUjJ1xWn8tTbnYgwlfdJtTnc0N+BH0ZpOo2U5WoiuQW2tQO/BGwlSs/YdMzPcZ5vN9Xv9wfefICT41n+6IHnKHohja+SuIhrW8Qdi68cPY9rW7zvDdeyv69jWUofsHx1kAZizVvdnGSDFIkaDIb1y0qd5XLd4zuALwGo6uhS9ZKbzWpVIxaTdgpV2bu1nZLvMzFbapijbAFPnc1wx439XLetg4MDXVh1f8tQlcGRPNs64zx6ahJBuGV3aqMV9y3aYauCquoVNVHXOwvllm9pc7mQyZMtRcV4GoYU/dVPtISoBXFbzAaEbZ0Jrt/e1UpprlWjqv+l+rgiFfcbRJPwzxOp7lwVXK4mAeD1N/RzfCTD6YkcY7Olhr+/Al4QTeC2tsfY3pXgG4Pj3NnXsSylD1i+OkgDuV9EHuBiwOYdRLrIhgbziQeHLvv6RroGGQxXYqXO8oyI/AQwTKRu8UtQazax5jkBCzm6y1WNuP/YGGEYMjiSqeXpbe+K0xF38PyA75yYwrUF7zJtZ5dDzLG4cUfk5HziwaFLlixPT+Q4N11g15Y23nSwvxap2YDctsA2IUrN2MkSGgisdxbKLb9xRydDY7P4YYilghc2bkXCC5SJbDR/LfkBx0fSDTpz66jIxL0f+HmidvevmC8lt9m5Uk3CQCpBtugvSYt7Ndy+f8uc1In7j41x1x3Lb6G+HHWQ1SIi1xF1gf2tSk3EvyG6rhwB/rYlgzAYDJuWlTrLvwz8CbCdqAPfaGX7G4H7GjGw1dAI1YjjI2nOTEbiDLNFn9F0kefHZjmwvZPb923lDS/Zxli6wNeeGWvImIt+yJEXJvjEg0Mc6G/nG4PjwMUlzKGxLDds79joShhzOmxVNLd/nqhg9HvAH67VuBrJQkoHccdhIJVAgHMzBYIGraQrke1AJDmYLwWcGMsyOJLeMHYhIn8EvJ2oM+fLVDW7xkNaEy6nkAGR49qRcCh6zWt0WQ7g3ifPc83WdvyKNGa64PHg8TEU5Zbd3bzmuq1zOvBVV+3qV/PyRY+hC1nGsyVc2+KVe7fwvjdd30yt+P9KJEFKpdHVPwKIyK2V1xarkzAYDIYrsiJnWVWHgMMLbH9ARA6uelSrpBGqEemCTzkIyRR8HEtIujb5csDzY1k64g59nTGm8o2N7OZKPqfGszxwbBTXhsm8Bwq7etrobnNoi9t87+RkLdK9v6+N4ZmN1yG6sgLxC8AHgEeBn1HVTaOxvFi+5qH9W8mWfFzHZmSmQLrY2M8uVHDsSHZwg02iPgCUgP8D+N26VC4hSs25rEqKiBwGPknUhOIvVPVj817/BSKFhOHKpj9V1b+ovPbeyvtCJFV3z6p/mxVypTzfux85RdIRvOYGlpktBbwwkWUglWA0XaLsh7TFbJKuzSNDEzw0OMbt+7ayt7e9tmr3poN9fGNwnFTSJVss862hCbwgpDPuoKo8cmKCiVyZ9756b22/BmvFX6OqR+dvVNXHROSa1ZzYYDAYmlH48P4mnHNZ7OxOMjvPEVmuakRXwiFT8BEiLdIgDLErTvNYusijJ6cpegFWA1O0syWfoQtZip7P+XSJroRLZ8JhoCvOWKbEI89NUPQCOuMORS/g0ZPTxO31kSO+VETkV4HjRE0nDqvqL2wmRxku5mumki4j6SKppMudr9vHuw/t5bmxKGha8v1FxcZXSsKBtriDbcmGkhNUVUtVk6raqapddT+dS3CUbeDPgLcCNwLvEpEbF9j1C6r68spP1VHuAT4M3A68EviwiGxp6C+3DBazm6oTOZ4u8J0XJhvexW8h8uWQF8bzFLyAuCPkygGJmIMXBPghjM6WmMqVeOzFKR5+7gIf/NJRjg+n8YKAp4czQFQs6IVKwrVJODanJ/Pcc+RMbdXPEqk9ruZlr4LEZV5b89RAg8GwsWlGU5I1994aUYn90h0pnh3JECqUg0hUvytps6UtxvB0nlw5ZDpfvvKJloEfRt3bvCBEiFItil7AaCZaypzOe/TW7d9IJY4W8ingAlFO4ZcXiCLevFYDaySL5WumEg5npwuUGiQBVsWxQMQiWwrY2h5NGK+03L0JWqdD5OSeUNWTACLyeeCniCZkV+ItwIOqOlU59kGiFbM1U/NZyG7qNbotAdcCr3mCGHOIrn9KrhQFH/xQEYSJ2SIXMkXSeQ/XhlyojGaKfPfEJOmCh6riWBZBRTTctYW8FzCWKXL7vp4579EgrfgfiMj/qqr/vX5jpSPs46s9ucFguLpphrO85v5bIyqxD9/UzwPPRKnYXYmo2UPJD0m6FrPlgP7OONO5Mtrg37ZQ8iiH0U3qybPTdCVcYo5F0Qvwg5CJbIm4Y9HbmeDgQCflVoSZGsu+tR7AWjE4kiZd9OlKukzlijQyC8MPwQ8jD+rEeJYXJzLc/UieVNLFseDh5y7wTz8c5rXXbeXdh/YCm6J1OkRFoWfrnp8jihTP59+LyOuAIeAuVT27yLE75x8oIncCdwLs2bOnQcNeOvcfG6tpdAtQ9EKExhQWL4VyoHgFn+dGZ/GCANuKuvH5gRJzLECJOxaubZGviIWLCIEqdmXpzQuUhGPT39U0rfjfBP5JRH6ei87xrUAM+OnVntxgMFzdrMhZFpFZFnaKhXWy5LXaSuyDAyne94Zr+dRDLzCV8+hpd9nb08bQWJbtnQmSMZtcOWBLUpkqNM7rKdblIwahMp0rIwLtcYf2uE1vR5ySH3L9tnZc226FyH9DUdXTaz2GteL+Y2O1FsBxx6HoNyffPFD4H0+NkXCE3vYYs+UQW8APQv7+iXN8+ekR+tpj7O5p4/xMYY7ay2ePnKa3M8HwTIGYLczkyzw7Okum6NMZd3j1tZGz3cRCreWy0ErW/GvTl4HPqWpJRH6FSG3jDUs8FlW9m6j4kFtvvbXls9PhmQJFP6DNtbGs6LrTahTIlTxsS/D8AM+POk3atuBYFts648wUIqWOzrjNTMHHC0ISTpQyVvJDbhzo4r2H9lxSvNwI/WVVHQNeLSI/RtRNFuA+Vf3mqk5sMBgMrLzAr7PRA1mPvO3mnezv65jjEBT8gN6OGD88k6ZQDkjGbKTgNyXKU1NMUMiVoptT0QuIOxbHhjPs7+vYUA1J4IoTrSsWc21khmcKtRbAX0k3P6e46CvD6RIJRwgU/ECxbYhZwumpAiPpAru2tNPdFqX7PHV2hqIfcvimARwLHhma4MJsAVXBsqII4NefGWU0U+Ltr9jRrEKt5XIO2F33fBdwvn4HVZ2se/rfgf+n7tjXzzv24YaPcJXs7E6ScGy8QIm7FgnHotCqPIwKQrTa1RFzcG0hW/IhUFSjKHIy5mBZQqbgs6U9zi27kzU1DFuE113XW1PDmH9NbaT+sqr+C/AvDTmZwWAwVGhGGsamYn6EuqqB/KN7u/mX58YrDrNFvtz4m5dyMS/ZCxXxAl6czLG1PUaqLbYRl8yvmonWQtS3AG5VtlIkLaeVnGYAqS2dBypkyz5b2mMkXJvhUoBtRUVXx0cy5EsefgiCErcsAlUypYAzUznuOXKGGwe61oOU4Q+A60VkH5HaxTuBn6vfQUQGVHWk8vQngcHK4weAj9YV9b0Z+J3mD3l5HL6pn++cGOf4+QzZctQifS2Sr7QyWe+Mx/ACm3zoU/BCCl5IruTRGXdItcXY0R01xqk6x/Nppf6ywWAwNALjLC+TavFgKunybw/08ujJaXIlj0K53JQbWPWcAoShEipcmC2xpT0+Z7+rpJhrQ1NfeFpsYWRQiXKaARyJ0nssEVAolANUlZIfUg4CeuIxALJFn4IfFZqKRNFDW4QwCJnKlSkH2qxCreX9bqq+iPwakeNrA59R1WdE5CPAY6p6L/DrIvKTgA9MEckWoqpTIvIHRA43wEeqxX7riYMDKX7xNdfwf3/lONN5H0vAFm2JKkYVrfyUvJCRdJG4YxEEWpvM+yFkij77e9s4ONC1kXPgNw1X6rBnMBiWzqZxllvlDM4tHvQ5tL+HJ8+lAWVstnkd9RTwKzfHMITJbJG7Pv8Uu7cm2dYR53y6yN6t7QsuiTeio6Fh9dTbTqgQt6MmEK3weaqrFILih9ARs/EVkjGbbCmgI+HQ35WgLRZdEjoSziXFq6oaOcxKMwu1lo2qfpV5LY1V9ffqHv8Oi0SMVfUzwGeaOsAGMDSW4y037SCVdDlycpJjZ6fIr4HEemQSQsELiTkWSUvwQyUIlLa4w8hsGUuEsh9wcjzLB754lDtu7DeTc4PBsKHZFM5yq53B+cuIH/zSUwy8ZBuf+/5pJrKtaUE9mikznfPIFkocVSFfDhifLXHzrhR9nZHkaHVJvBEdDQ2NoWo73xwc4/kLmZYup0cpGVDyy1gSdfy7vq+NV1+/jdmiz9mpPKEq6YLH/t42Bs9nKPkhopArRznzFlFr9pt2dPDdE5P4odLT7rK9K4FtWxsuh36jUN9o6dxkbk0c5SpJ12K2FGALlP2QUiXEHRQ8siWPe58cJlP06Wl3sS0xk3ODwbDhaUZTkpZT7ww2WOh+SVSboLzymp4r79xAyoEynCmTKZRJusKF2SJPnJlhfLY4Z0l8eKZAZ8JhIlvkeycn+frxUY6fT3N8JN3S8Rouctu+btZA1ACInOZAo+jx8+N5vn9yklTS5YNvOcCHDt9AKunih3Dzzi4SrlUr7qo26NmRivPg8XG2d8XoaXeZzJUZupDlTQf7jDPUJOobLWVKrfeUbYk+/4RrUdVGz5UjR9kiei0gSseYzpcRYGK2jGNZLb8eGwwGQ6PZFJHlRrS3Xg3VXNRtXUl2dcc5N1NqyftWl9b9EKgsj8cdixPjOWKOXVsS39md5MWJbEWyzKIz7pAp+mQKPvcdHeY7Jyb54dkZBOGW3amaNJiheRw7n2V7V5yZgkfRCwlbXLFlEaVNJFybkxM5rt3WwV9++8U5KUyfeHCI3s44Pzg9TaEc0Baz6Yg7pIs+nQmXvK8cujZqk5MueAyN5Xhba3+Nq4b6fPegtUIY0XtW7DNhC54q2ztjjMxGTZnqhyNApuDT2xHD56I231rksxsMBkOj2BTOclVlYK3yJ+tzUQ/uSDGRvUA5oGUOkAJlP2oMELOFqWx5jnbp4Zv6uesLUYOVuBM1FADY3hXjD78ySN4PQZWYbfGtoTKjmRIffMsB4zA3kbFMkZ3dSXb3tDOZLXFiPNfS9w8BDcH3AyZLAf/wxDlsgYTr8Lnvn6Y95jCVL7OrO0nCsdjVnUREUI06te1IJcjWdVUxzlBzqb/GgK5Z986ir+zckiDhOlzIlucUGToVz9jXSNN715YkfiXxfa3y2Q0Gg6ERbApnuRHtrVdLfR7zT/zJvzKaLjKRa2w77MVRtrRF+YEnxnPYllDyfP7myOmoVW3RY3gqTykIsW2LnakEr9zXw9GzM4xny6SSLjHXJgiVbCng3FTe5DM3mf6uBOOZIqUgZLpldjIX5WITnFKlerTgeSjQlQhIujZnpwqIBa5t0d0Wo+SHdMQdZksBXeuguO9qonqN+d4LEzxxZga/MhtvldMsgBeEtMddSn5IT7tLthQQVibaoUZqPbYqYln4YdT9NF3wWn49NhgMhkayKXKWq1GXVNJlJF0klXTXtJhkoDvB1o4YbW7z/7xa+Wc6X+LkeI7pvMdktsz9x8a496nzDI2kefi5C5WuXwqqjKQLzOTLDKeL2JYQcwQRcOzo8USuZKKETeaNL+llbLZIJu/VIv3rgarjlSsF9HUmsOxIYm58tkS64FHyQq7vaydX8tneGa8VBKYLHodv6l/TsV8tvOraXnZ0J2pFmq3CsaJ0jIRrE3csUskYXkU+Lu5YeEGkAb2rO0FbzAaFVJu75tdjg8FgWC2bIrIMzRG6X6kc3Y0DKdpcm9mSj58p0oR+JXPwFWYKF6vFqpqo2VLA0fOzQCRA64cQhiGBwkPPXsCxLdpciyBUHDu661aLuUyUsLnky8rB/g6Oj2bXZj39CoQatVjfmUowlinhOhZdSZeuhMNLd6T42dt2MzSWa0oXNsPlOXxTP0fPzZAu+tgCUzmvRSYk2JZS9AJitpBD2NYZp+gFeKHWCvkUGOiO8/s/eaOxiauYK+k833XHgRaNxGBYPZvGWW40q5Gji9JC8ty2dwvPjs4yW/QYzZRaXsRVTwBRYLnyvOwrPW02QQilQFFC0KhZRk9HzEQJm8zwTAHbtjnQ30moyqnxLNlmz6rqiHr4Le6nK5Ar+Ti2xc4tSV5/w7ZLbm6mmG9tODiQ4kOHb+BT33ieb78wSdyJUiDKq+hScqUcaBtQlJt2dhF3bCayJbZ2xLnr0HW1tuf1KXAmkmwwGDYTxllehNVoE9cX4+S9gHTBZ09PG6cnc0xkPYJQWauFd8eWqPOWwIH+Tk5P5kk5FtM5j0CVng6X3zLFfU1nZ3eSJ8/M0NPuIiK0xR3yXjnK+ZRoWTvfxC5/IhdXERZykmyBc9MFOmI212/vNJOndcbBgRT/73tuZXAkzd8cOc23T0yypc1lRyrOc2M5pnJlOhM2+XLAdC7SflfAtYVtnTFy5ZAgVG7e0UVn0uXFqTwlL8DzQyayJcohaBi11bYFXMfipTs6OXRt3yUO8f6+jjkrcGaVwWAwbDaMs7wIq5WjWygtZHAkzQe/dJTh6QKlICQMw1ph1UpYSUW8anQD7Ig7FLyQ6/o7eemO1IZvgy0ih4FPEgXB/kJVP7bGQ7osh2/q54Fjo2SKPl0JBy+I1EzijkVb3GFre4znRmdXFS28HKFGesmhwlSuRKlO89kCLEsIwpDu9iQfOnzDhrSJq4GDAyk++vab56SMHdofZypX5pmRWXZtifPml3YSdxzOTuXp74pTDnTZ3/X5KWn1DnEzUuAMV8a0szYYWodxlhehGXJ0BwdSfPxnb+buR04RhiHPjs4ymS0ymfOX7fQ6FqjCSnyp9rjN7i1JpnIeh67t3fC5YyJiA38G3AGcA34gIveq6vG1HdniHBxI8b43XsunvvkCk7kyCdci6VpR6+mYQ9K16e2IMZYpRVrale55jYg1V5tL/OjeHtoTNg8cG8MreDgWdCdj9KcSWCLEHYs9W9uNI7QBWGxyXnVwt3W6vGMVK0bGITY0GpPTbNhIrCtneT1FB5slRzc/RSPVFuNaVXLlgAuZIlN5ryYJVY8A7TEL1xaypZCEY1HwgitGlzviFmEI5SDEtS26Ei69HTECBceSzbK8/krghKqeBBCRzwM/BaxbZxngbTfvrC1hHx9Jc3aywPXbYhS8kKmcR1cixntfvZfTkwXue3oE17ZqXfTSBZ8gCPHC6HmoURtiIcqvyJYubQ8oROoJccfiN950HfmyMjxToD+VYKA7gWNZJFwbiFYgJnPlWtMRw8bDOLiGjYxxpg3riXXjLK+36GC9U9voXLzL3cTuOzrMH371WSazJTQE2xY64g5tMZv2uEtHwiHwfUZmy2iByGEKFMe22LUlSahKpuiTLweoKh1xl60dcdpjNgOpBCPpIpO5Mq5t8b43XrtZbqY7gbN1z88Bt6/RWJZFvS3MWUq/du4yeV9nVGRa9gOeODNDZ8IlXfDwAqW/M8FPv2KA05MFvvnsBUJVkq4V7V/xmS2JItNtcYdf/bH9/PK/vb42hk88OMSp8SxDF7JA5Exnij6ubW2WyZTB0HDWU3DHYDA0l3XjLLMOo4NrEZmpRhurShzzK8wB7n7kFC/bffG105M5LBF297QtWpFedcRcx+bQtb0bNjd5ERZSm70k4C4idwJ3AuzZs6fZY1o2l7O36kpHKuny8t0pBkdmKfnKHQe3zmlPPj+39EB/+xyJt4U+96p6y4FtHYxmikzlPBxLNtNkymBoKK0I7picZINh/bCenOUNGx1sNFeKas9/7UOHbwC4bBR8ky/JngN21z3fBZyfv5Oq3g3cDXDrrbeuQ3Xjxam3iWzJ5/U3bFvQ8V3oc76SxFv9uWOufUlU22AwXMKqgzvGGTYYNg7ryVlednQQyIrIc00dVUQvMNGC91mU9y/+Uu/7FxjbZfZfLnsbd6qm8QPgehHZBwwD7wR+7nIHPP744xMicroFY2ua7azyM77suBpgPxvBbpZNC+0G1sF1ZxGaPa6NYDtLCu5crferRWjouBa4Rm0EuzFsUNaTs7zs6GCrEJHHVPXWVr7nUlnPY2sVquqLyK8BDxDlD35GVZ+5wjF9rRjbev181uu41jutshtYv5/Reh1Xi1lScMfcry6yXsdlMCyF9eQsLzs6aDBUUdWvAl9d63EYDIargiUFdwwGw+bAWusBVFFVH6hGBweBL14pOmgwGAwGwxpQC+6ISIwouHPvGo/JYDA0ifUUWV7P0cGWLqMtk/U8NsP6/XzW67gMF1mvn9F6HVfLWEnqVwtZr5/Peh2XwXBFRHVDiQIYDAaDwWAwGAwtY92kYRgMBoPBYDAYDOsN4ywbDAaDwWAwGAyLYJzlOkTkRRF5WkSeFJHHFnhdRORPROSEiBwVkVe0YEw3VMZT/cmIyG/O2+f1IpKu2+f3mj0uw1yM7RhWgrEbw0oxtmMwtI51VeC3TvgxVV1MOP2twPWVn9uBT9PkLoOq+hzwcqi1WB0G/mmBXf9VVX+imWMxXBFjO4aVYOzGsFKM7RgMLcBElpfHTwF/rRHfA7pFZKCF7/9G4AVVbVUHMUPjMLZjWAnGbgwrxdiOwdAgjLM8FwW+LiKPV9qUzmehFqc7WzKyiHcCn1vktUMi8pSIfE1EXtrCMRkijO0YVoKxG8NKMbZjMLQIk4Yxl9eo6nkR2QY8KCLPquojda8vqcVpM6gI3/8k8DsLvPwEsFdVsyLy48A/Ey29GVqHsR3DSjB2Y1gpxnYMhhZhIst1qOr5yv8XiPKsXjlvl7VscfpW4AlVHZv/gqpmVDVbefxVwBWR3haNy4CxHcPKMHZjWCnGdgyG1mGc5Qoi0i4indXHwJuBY/N2uxf4nytVxq8C0qo60qIhvotFlrREZLuISOXxK4k+18kWjeuqx9iOYSUYuzGsFGM7BkNrMWkYF+kH/qnyHXaAv1PV+0XkVwBU9c+JWnH/OHACyAO/2IqBiUgbcAfwy3Xb6sf1M8D/JiI+UADeqaY1YysxtmNYCcZuDCvF2I7B0EJMu2uDwWAwGAwGg2ERTBqGwWAwGAwGg8GwCMZZNhgMBoPBYDAYFsE4ywaDwWAwGAwGwyIYZ9lgMBgMBoPBYFgE4ywbDAaDwWAwGAyLYJzlJiAigYg8KSLHROTLItJd2X6NiKiI/EHdvr0i4onIn67diA3rAWM3hpVibMewEozdGAxLwzjLzaGgqi9X1ZuAKeBX6147CfxE3fOfBZ5p5eAM6xZjN4aVYmzHsBKM3RgMS8A4y83nCLCz7nkBGBSRWyvP3wF8seWjMqx3jN0YVoqxHcNKMHZjMCyCcZabiIjYwBuJ2o7W83ngnSKyCwiA860em2H9YuzGsFKM7RhWgrEbg+HyGGe5OSRF5Emifvc9wIPzXr+fqB3ou4AvtHhshvWLsRvDSjG2Y1gJxm4MhiVgnOXmUFDVlwN7gRhz88BQ1TLwOPAB4B9aPzzDOsXYjWGlGNsxrARjNwbDEjDOchNR1TTw68AHRcSd9/J/Af6jqk62fmSG9YyxG8NKMbZjWAnGbgyGy2Oc5Sajqj8EngLeOW/7M6p6z9qMyrDeMXZjWCnGdgwrwdiNwbA4oqprPQaDwWAwGAwGg2FdYiLLBoPBYDAYDAbDIhhn2WAwGAwGg8FgWATjLBsMBoPBYDAYDItgnGWDwWAwGAwGg2ERjLNsMBgMBoPBYDAsgnGWDQaDwWAwGAyGRTDOssFgMBgMBoPBsAjGWTYYDAaDwWAwGBbBOMsGg8FgMBgMBsMiGGfZYDAYDAaDwWBYBOMsGwwGg8FgMBgMi+Cs9QBWQ29vr15zzTWrPk/RC0gXPLxAcW0hlXRJuPbqB7gJePzxxydUtW+tx9FoFrKdqh0UvYAgBNuChGsvag/1diMSbVNlURu6muzsarIbQ2MxttMcNvv1x9iNYaUsxXY2tLN8zTXX8Nhjj63qHIMjae5+5BSppEtnwmG26JMueNz5un0cHEg1aKQbFxE5vdZjaAbzbadqB0EQMjSWBQFV5SXbO7Es6xJ7qLebku/z6MlpBLht3xYSrnOJDV1tdna12I2h8RjbaTyb6fpz39Fh7jlyhrFMkf6uBO89tIe33bzT2I1hxSzFdja0s7wYgyNp7j82xvBMgZ3dSQ7f1L/oBeH+Y2Okki6ppAtQ+//+Y2Mb7iJiWDlVOzg+kiHuWiRcm6IXMJopcXCg6xJ7qLeb753M0JmIvkonJ/Ic2r+1tk/1GGNnBoNhrdgs15/7jg7zsa89R3vcYVtHjEzB42Nfe26th2W4Cth0znL9DHoglSBd8Lj7kVOLzqCHZwoMpBJztnUmHIZnCq0asmEdULWDbNGnIx4tTcYdi0zRW9Ae6u0mU/TojEdfpWzRBy61IWNnBoNhrdgs1597jpyhPe7UOf1WbbuhMXziwaHLvn7XHQdaNJL1xaZzlpc7g97ZnSRd8Gr7AcwWfXZ2J1szYMO6oGoHHQmHkheQcG1KfkhXwl3QHurtpivhUvQCADoqEeb5xxg7u7qpX+3KFz2GLmQZzRQJQiUIQrww2s8W2LklQXs8hqL0JF0yRZ9Myae/Kd7LJgAAIABJREFUK8EbX9JLvqwMzxSI2YIApUCvuIJmuLrZLNefsUyRbR2xOds64zZjmeIajchwtbDpnOXlzqAP39TP3Y+cqu1XzeV6x227mj5Ww/qhagfbO+MMjWUp+SGqyjVb2xa0h3q72d/XxqMnpyn7Iamkw1eOnicMo3zn/+WeH5Ap+lgoZ6fyFLyQohcQqiIi9HfFGZ8t8p5De42js0mpX+3KFst8a2iCshdiWdSc5Cq+wumpIl3xMt1tMYbGZolZFvv72hifLfLJh05w294tDHQnefTkFArcvn/LFVfQDFc3m+E+NziSxgtCBkdnEcCyhI64Q8yx6O9KXPF4g2E1bDpnebkz6IMDKd50sI8/f/gkZ6YLuLZw294ttdeXk/9s2LgcHEhx5+v2cf+xMfJeQKbok0o6XNPbseBnXr//8IzPS7Z3cPx8hpKvJF2L6ZzH08MZHAsSMYd0vsxkrkSo0fFhCKCEofLoySlG0kU+dPgGY1ubkPrVrgePZwAQC/Qyx2RKISEejiVYFswUovSemG3z/HiOgq+1VYyT43letUCevMFQZe71KrqXveO2XWtmK8u9r1YnnDtScUZmioiAAPlSgGUp77xtF19q3fANVyGbzlmun0EXPZ/BkVmm8x6vvW4rgyPpS76QgyNp/vGJ8+TKAXt7kggwNJblP9//HD/zozv5xuD4kvOfDRubgwOpZX2u9ft/4sEhtnUlKwV/k9iWxUi6gBcI/SmXM1M5bMvCFSj7IcmYTajKVN7j2r44U7mycXQ2KfWrXdmSj2rkJuvlvGXACxRHhFCFkh+FoJOukCsFc3LrM0UP2Jg5qIbWsdzrW7OoX2lxLHj4uQv80w+Hee11W3n1dVsZGstd4kR/9shpTo5neXEyh2MJoSqhgojSnYxxetLYvaG5bLqmJNUZdNkP+O4LUwC85roeXMfm7kdOMTiSnrP//cfGmMiW6Ew4JGMOiZhDR8JhKlfmniNnahEhS6T2+P5jY2vxqxnWMcMzhZoiRqboEXesKB+14hH5QfR/qBCEIAK2CF6gxB2Lsh8aR2eTsrM7yWyl8LMj7iAVUe6qNvdiuLbgq2JJZCNxx6LgKe1xO8qt98NaXj1szBxUw9VHdaWl7Ac8eTa6H3cnHR57cZqPfe05To1n5wSn7js6zL+emERVKfshjg0xx6K3I0Z3W4ztXQl+eHZmjX8rw2Zn00WWIXKY+zoTvOEl2+akY8Cly5TDMwVKflC74UCkgjBb9JkpeNy+r2fO8SZ6Y1iIhQr+bEuISrDAsQVVsCRqdqIKoUbNAUp+SMyxjKOzSalf7XrZzi6+NTSBhmBdJlTRFbfobnMZThexELqTDnkvZDpf5kf6uhjoTvKDU9MocOOOTtIFb8PloBo2N9VUi+MjadIFn66Ew0t3pDg+kuYl27t49FSGuBPJdKoq59NFejvijM6W2NfXUbt333PkDFvaosciQhAogYZM5cokYzb5coDrbJ7mKob1yaaLLFepj/RVWcjR3dmdJO7YtWVOoOa89HclahGhKiZ6Y1iIwzf11xyW/X1tzBZ9YrZN0rUiJzrhAooqlUhygBeE9LS5ZIs+Pe0xDt/Uv9a/hqEJVFe7UkmXjkSMHzvQx76+duJuZB8xK8q/FMAR2NuTYFdPB+0Jl1dd08N12zrIlkP6OhP8xhuv4+V7evBDuH1/D4f29+AFkeqPSQ9rLSJyl4g8IyLHRORzImKqzCpUUy1enMhyZjJPpuBxbqrAqfEsZycLnJnMkS36xJ3IBanefzvjdk1+E6J79limyMGBTkp+iGsJ5UBrtR+2CCPpItdsNfdkQ3PZlJHlwZE0Z6by/PDMNL0dca7b1k5vR2JBR/fwTf0cG05zaiKHqiJAthSwZ2tbLWcZNm4FsaE1zC/4O7S/BwUuzJbIFH129yRxLeH0VIHJbIm2UHEdi/aEyy27u40axiZnveSLGhqDiOwEfh24UVULIvJF4J3AX63pwNYJ1VSLwZEMCde+2ORptsSB/g6eG8sSdyxKXgASra5t70owWwromlec39+VIOE6vGJPNw9miygX8/0zRZ/OhE13W2zhgRgMDWLTOcvVGe32zjiZfBTpe+zF6Vrb4vmO7sGBFB98ywE+e+Q0PzybRlFu399Tc17293Wsmwpiw/rGOEQGw1WFAyRFxAPagPNrPJ51Q7Wotb5hU9yxyBZ99u7rIe8FbOuM8+0Tk2xpc9m3NckL43nOzRTY2u7y0KBH0VMcS/jpVwzw/VMzTGRLpPPenPdRYLYY8PRweoFRGAyNY1M4y/UyNGem8rQ5QsFXir5PvhRQ9ENGM0V2bWnjjx8c4saB1BypmoMDKd59aC+9ndE5+jovrqYZB8hgMBgM9ajqsIh8HDgDFICvq+rX5+8nIncCdwLs2bOntYNcQ6o1HNX6jYRrM5P3yJZ9vvb0KD0dMT7w5gO859BePnvkNP9acZp/ZGcXg2NZpnMe12xt49ptHXz/1AzpQhmAcp0uebU+VoHnx7It/x0NVxcb3lmeL0Pz7EiaQjmkM+Gwpc2J8puCELWEIFTOTOZpc23ufiRfy/FbqEX2xx8Yor8rTtl0xzIsQHWC9s3BUU5N5glC6Ijb7OxOkC74TOXLFL0Az9eanm7Cge2pNl597VbeXVm5MDreBsPGQ0S2AD8F7ANmgC+JyLtV9bP1+6nq3cDdALfeeusVxAI3NvXXsrgtnE8X2d4V59nRWTIFj8lsmZ52F9uCga54TYa1t64Y/8jJSfb2tJEv+4zNlhidLZEt+rS5FodfNsBT5y5GkJWo6EphTs2RwdAMNryzPF+Gxg8VESj5AWenPayKPJcIOJZgWxYnx3NYlvD+Lz7Fm2/czvhskSAIOT6SIVv0sS2YypaZyMZ53YG+JesrG8fn6qA6uTozMcuzo7OICKrKZDZgPFvGEQj00qYTBR+Gp/M8/FzIaKbE21+xw+h4GwwbkzcBp1R1HEBE/hF4NfDZyx61SZkfcJot+lgitMcd9mxt45nzGbqSDv2pZK2G6NR4lg/fe5yxTJH+znhUyFr0EZQLsyXyJZ8tbTFCDcmWle+emFjwvYUryzAaDKtlwzvL1dyoqgxNzLbwfJ98uRrRi/6NCYyki3Qnbcaz0RIPCumCx0PPXiDp2lG1etzm9GSOkq/ECl5NXxku3x1roei0cXw2J9UJ2tCFaNIVsy0KXlB73b9M/MgPwQ+ViWyJe46c4caBrpp9LcXODJuXxaS2DvS3850Tk/zw7AwlL6At5oAqUwUPFHb1tPHGl/SSL6uZqLeOM8CrRKSNKA3jjcBjazuktaO+SyVUrmU9baSSLh99+8188EtPMZBKYFW82vHZIkNjWbwwxEZ56uwMj52eBsCptOeLOTauY+HaFqFCwQtx57WIrz7c2RXnVCt/YcNVx4Z3lqu5UdWOVq5dFWG66LFYEvWRV1XOTBWxLWE0U2RbZyL6UitkK1W3EEUFHQtKQcj4bJET4zlmCx4Ii96EFrxYYByfzUh1glb0Q2LWxZDGUtZYFQhUKfmB0fE21KhOtsMw5MxkHhEhk/fw/IDPf/80rm3TFrOYzJYZCQqUfSXp2sQc4dxUjk8+NMMrr+nhZbu6zUS9BajqoyLy98ATgA/8kEq6xVrS7NXN+vPnix5npgvMlnxyJZ9b93aTSl58r/prWb0OPcCJ8VzlNq2MZEqUg4tXz3JF6qItJviBRs5yqJSDkC3tMS7MlueMyQLe8+q9fKdhv6XBcCkb3lmuCv67tlDygor+YtTsQYiieJZEDsps0cMPoSNhUw6UbNHj+bEMubIftZA9O0NnwiEMlTBU4o7yxJkZ4o4VnU9k0ZtQfUvbKsbxaSwishv4a2A7UVDhblX9pIj0AF8ArgFeBP6Dqk43axzVC3/CsSgHIbFKqcncKdrCCJE2aNyx6UrGmC36cxrnGB3v5SEih4FPAjbwF6r6sXmvfwL4scrTNmCbqnZXXguApyuvnVHVn2zNqC9lMamt58dzROmYAbmyknBtcuVIh1YEXNuuaXoPXcjyI7u3mIl6i1DVDwMfXqv3n+8YH+hvb2pa131Hh/mjB54jXfDx/ICCF5JwLfZubSNXhG+fmCRb9PHCqItpzLa4aUcXMLcxT2fCYSpbxrZgtuSjKAnXwq/cd5Wo02nRC2mLO+zqbMMLQmbyHoEqe3uS5Mo+XgDtcZvr+9rJlzd1OrhhHbDhneWqvu3fHDnNt09MEirs6UkymilR8kJc20JV8ULFsaI2mTHbpq8zjheEfOfEJGU/xLUFS2A6X64sFSleGH1ZwaIcKD+6N4Vr2wvehObPnME4Pk3ABz6gqk+ISCfwuIg8CPwC8JCqfkxEfhv4beA/NmMAgyNpJmaLfOPZC5T9gFIQ5ccvlRCYzJawBdriNp97dBovvCiybwFb2x0mZou8+rqtDI3lmrq0vtpI1Ee+/DRffGyYYuXG+R9u3cnv/U8va+gYF0NEbODPgDuAc8APROReVT1e3UdV76rb/33ALXWnKKjqyxs5psGRNJ89cpojJyfJFH1cC9piDgUvoBwoFooXgBeGJFybG7Z1kGpz+c4Lk7iWRcHzSbo2XqgEoVL0omuTawsxhVhlSVqIVsDsSpOGnriQK81t5mAm6puXhdL+PvXQC9ywvaMpq5uDI2n+6IEhprIeCdciXQ4JgVw55PhIFseCIIRvvzCFVakPijvRSu/gSHqeDn2Bno4YA11xHh6aAAXbFiwRLAditjBT9HEsobc9CkUUAuXGHV3YlnBwoKuWzgFRJ1Rj64Zms+GdZYgc5vcc2osADxwfYyofFQZM5z0cS/CCgHIAqkJ30qboB4zPlvCDgIIXEKoiCKFGHdYC1Vph4PB0gf19Hfzo3m56OxKLfjHnz5xNA5PGo6ojwEjl8ayIDAI7iarSX1/Z7R7gYZrgLFdvUEEQVpYFV3aeQGE6X2K6EE3C6mMiITBd8Lnv6fM89OwFXnlND3t725uytL7aPPuPfPlp7vnuGWxLiNtQ9kPu+e6ZhoxtibwSOKGqJwFE5PNEtnB8kf3fRRMjgYMjaT7+wBDPjWaYLUYRs+liQEgZW8C1oyJPANcCVPneqSlsC9pjDl4QUvBCiuUQ26ZWOOoHSqhC3LEIKitlqmALBKESs4WCp7THL17OzUR9c7NQ2p8fatTNrrejtl+jJk33HxsjXfBwbGG26DFfe6JejCJUKAdKOfB57PQMb/+zb/PTr9jNew7t5a47DgAXrz0Jx6LkR3YM0B53CENIxR12bmnDD5nT+6A6DhOUMrSaTeEs19/033RwGz84Nc1krkxH3GKmEKAazVb9QEkXfXZ1J8iWAmYKPoHClqSDbQnTeY9Ao+heW8LGJurmd266QFvcic7j2At+MefPnE0Dk+YiItcQRQkfBforjjSqOiIi2xY5ZlWap9Ub1PGRDPmyHy0dBuGcgpNFx0uUB49EKxglXxEJF0zdUIVcKcCxbEZnS+zr62jK0vpq8+y/+Nhw5ChXWtbGrUjC6YuPDTdkfEtgJ3C27vk54PaFdhSRvUQyX9+s25wQkceIViw+pqr/vMixS7Kb+4+NMZEt4QVRukS+7CMWtSqkUmVyVY2JVfM0QwXXtpgt+TgWeAFoCHFHSMaiLmeOZRGEUA4DXFso+9HE3gsCOhMOMwWPl29LEaqaifpVwEJpfz3tLpO5ufm8V3IkL7eyVP/aE6enyFbSGJeb8FDw4aHBMUbSRT50+IZa74I7X7ePYtnnX4bGCUKlPWYThkrRD3nJ9k7+4N/dtOB1aLGg1PuXOS6DYTmsyFkWkY+q6n9q9GBWSv1NP5V0uX2/8OUnzzNZCrCtSM2i5AV4YUDZV8Zmy+xIJZkpeNgapWY4toWIh01UEBizhaIX4odKuuDx4kSW89MFru/v4EOHb1hwHKaByfIRERe4CRhW1QtLPKYD+AfgN1U1I0vUDVqt5mn1BpUt+nhBSMy28ZaUqVx5fwQNlZhjUUKRRQ5ThQAiyaRi85bWV5tnX/RC4vbcba4VbW8RC33wi30Y7wT+XlXr1wP2qOp5EdkPfFNEnlbVFy454RLtZnimQKZQJlOMuox5gdba8oZ6sXJfqVb0a23DhexcJ0cr1f/VP2/BC8iVg6hYmSj9ouSH2JbFrp523jtPDeO2a7q5/9gYf/ntF406xgbkSulRC6X9be9KkKk4j1da3bzv6DCffvgkpyZydMQdbtmTIl1waitLQG0V7dj5GV6cLNRSxVZCuugxlSvPmYgfHEjx6ffcyn1Hh/nzh09yZrqALcJrr+vl1990/YL2enAgxZsO9nHPkTOR5FxXgvce2mNs29B0VhpZPgysG2d5oZt+zLUpBiE9bTHKQUi2HGALqETLxaOZYpRqESozhUj0PKzMmi2JotDlIMSxo/QML1DKvk/StcwXcxWIyJ8Dn1LVZ0QkBRwh8g17ROSDqvq5KxzvEjnKf6uq/1jZPCYiA5Wo8gCwJKcbLt40XpzMUfYD/IBLlhgXoxwsPQ9DiYpNAXIVZ3Kxe0/Vjyp5IUXP5+8ePU2m6CNAb7vL7/7jUUoNaJaz2jz7hGuRLQVEH99FOuZ70M3jHLC77vkuFm85/E7gV+s3qOr5yv8nReRhopWKS5zlpRK3hel8NLmxIvWrmozgSv2M6l/WAeyKbJYI7EwliMccciWf9x7aw9tu3lk7xshYbmyW8vktlPZn2xbve8O1c+oc6lc3qw74oycnOH5+FhFoj0WpPd99YYr9vUXOp4t889kx2uMOA50xJnMe59PF2qRvpRQ9JVP0GJ4pLDgR+PKvv3bJf5tvDI5z40AXt+/rYbbo843Bcfb3dVz54CsgIq9R1e9caZvh6sRa4XG2iGwRkZ6Ffho6wiWwszvJbF0E7sR4jq6EgwAzBY90wSfUKK+qK+GSSkY6pWU/RFBUQ2YKPiHRDS7pWhR9rYidC1vaYhzo72RPT5IXJ00hwSp5rao+U3n8i8CQqr4M+FHgQ5c7UKIQ8l8Cg6r6x3Uv3Qu8t/L4vcD/WMpA7js6zEe+MsipiRzFcpTXvp76QOW8kDMTedIFD0Hx/ZCRTIkHB8dwbWo30cGR9JVPtgCHb+onXfBIFzxC1drjwzf1L+n43vaF59qLbW8CPwCuF5F9IhIjcojvnb+TiNwAbCGamFW3bRGReOVxL/AaFs91viL3HR3mgeOjZIoeRS8kXw7xVhOKm0e1yY1dccIncmUcS8iXAz5873E+8eBQzQ7qV9qqOvGppMv9x8YaNh5D4xkcSfOJB4f4wBePcnI8S9kPFvz8qs5mtuRxfCTD4EiGVNLlztft42037+SuOw7w8Z/9Ee6648AcR/nuR06RLnicmSpgWULRD/ACpegH5Es+T57LUPICglAZmSny+NkML04VLqmrWCnpvEfclto46icCS72GNdm2P7XEbTVE5DMickFEjtVt6xGRB0Xk+cr/WyrbRUT+REROiMhREXlFIwZtaA0rvau9BHicxZdB9694RCtg/iz7/HSB2aJX6eQX1paPlOgLG3Ix0hPWdVqzoFY84wUBji0kHKumv1zwAqbzHh/80lNmaXPl1K833wF8CUBVR5eQTvEa4D3A0yLyZGXbfwI+BnxRRH6JqFnAzy5lIPccOUMQKIoiUvng1wltdfnQjkRqCJYVKSTkSgEnx/O8av9WYOV5zKvNsx+eKS9re6NRVV9Efg14gEg67jOVFYuPAI+patVxfhfwedU5H/BB4L+JSEj01f9YvYrGlaiuSJydzuMFkXPcSOqTe6odylSj61Oo0XVtJF3EtqDoBXOij0bGcmMxOJKuqTltaXPJlz1SCZcnzszwij3d9HUmap/ff/vW89z9yIvkSz62LXTEHbqTMX76lh2X/d7ef2ys1qV2PFvCsaK895LvU5dWT7q4wqrlK2BLZKcKq6qTaIZti8ghou6LfSJSn/rcBVxpmeyvgD8lkjSt8tssrM70VuD6ys/twKdZpMbCsP5YqbN8XFVvufJuraH+pv/M+TQFL0AEUgmXohcwWwpqN575l4L5SgSq0Ba3sCq6yts64rTFbKZzZUbSRXraYpyZzPHDM9M88Mwo73vDtXOWQA1XZEZEfgIYJnJ+fwlARBzgsuv/qvptFp6gQdRBa1mMZYpoRQFl/bjJEW1xh0yhjAj0tMcQIVJ3EfDDsJYXu9obxWry7P1QcSoNf6qEodbSTVqBqn4V+Oq8bb837/n/tcBx3wVWpHFXXZEolAJsi4Y7yhBJb/kVzVmpPFeiv68AVBonRbrx7hynw8hYbhyqEd+T41m2JKPb8WwxIGbbJGM2J8Zz9HVG7aPzRY8/++bJirqTEvhRAfpEtsT7v3iUj371WbqSLrfs7uY9h/bOiSrf++Qwk7lSVCgaRGmFVZq9muZa0BF32NIeoxwoWzvmuh3LuYbt7E7y4kSW0UyJTNGjK+GyvSs+RwFkBcSADiJ/qLNuewb4mcsdqKqPVIrN61lMnemngL+uTNq/JyLd1fTB1Qze0BpWmoaxrqjPgcoUfV62s6uSdqEU6jRtrCsGLiOnaTLncXB7J7fs7iYZs2uFEknXqhXWbG2PAfCph15Y8TL4VcovA78G/H9EBXqjle1vBO5r5UD6uxKICJXuquuKmGNhW1bUUKfifNoCviqOZdGViByhtXSCHEsI5vnFUffL5f01ReTfL7I9JiL/54oH2CSqKxLJmN3QVIt6/IpT7EjkzMRsIelILR3DtSNpSy8IefmuyCmqOh2rTa8xtI5qWoEXKPFKM5rejhiTuTKqymzls0sXom55XhhQ9HXO984Po5WGSA415NGTU/zn+59jcCRdc8bz5YAwVKbzl8q+NZqqU2ELvHSgkxt3pNjSHufQ/q2XpEzC8q5hB/rbeeLMDOmCR0fMJl3weOLMDAf621c8XlX9lqr+PvAqVf39up8/VtXnV3DKOepMQFWdaSH1ngUjbSJyp4g8JiKPjY+Pr2AIhkazUmf5kwttFJGEiCxpCbxR1OdiDaQSTGWjCHAq6ZArR/lXkcapLLma1w8hRPjQ4Rt4/Q3beOnOFFs74vR3JuhKuiRcGxGhK+Hgh2pyAZeBqg6p6mFVfbmq/lXd9gdU9QOtHMt7D+3BtgUh0rNdL8RsiNsWyZgdNbQoB3h+tFrih0p73GZ/X9uaO0E//rJtkbJDEHXe8iq5jT/+sgWV+y7HnSLyNRHZV90gIm8FjgJbGzfixlBdkbAtqU1kGolFVDy5tSPGDQNdvHxXF4mYg1gWu7sT7N3ahuNYOLbwb67byvX9UZe0qtNRXWlLJd3KtdBdd8V91fzcD37pqTn51lcbwzMFOhMOHQmHUiWwE6UpOBS9kPFsie+fmqLNtRjNFCPJwEXOVQ6UUxN5JrIlnjozzf/+t0/wnr98lIcGx5jMlcmWw6avoFkCrmORcCxSCYegcl3d19vOuw/tXfVEbmgsxy27u+lKuuTKYS2SPjSWa8Tw4yJyt4h8XUS+Wf1pxIkrLFm9R1XvVtVbVfXWvr6+Bg7BsFJWlIZR7+RUumi9mSgv8C3Av1LJQ20F87ViezpiZApRkU2ba1O2hEBDwmVOp89N5bn/2FgtL/kTDw7xlaPn2Von/D+dL5MvB/zzk5GurMlhvjIi8inmXiAUmAD+pZJm0TKq6TMrVcNoBu0xi65kjL6uBB98y4Ha+M5O54k5NjfvSLG3t51SoGzrdNdUy/uT77oVeIyvPn0hSsmwhB9/2TY++a5b+ZOfW/p5VPUtIvIu4Bsi8ndEUoJ9wDtU9ammDH4V9HclyBX9aCK+zCj65YjZwu4tbdy+v4ePvv3m2orZ8ZE0MdfBQgmJJumH9sc5ny6yrSu5oLZy1SaqK27VCf16uD4ZtY6LVNMK8iWfM9N5ko5F3LHIlQIKfsiu7iSphM3Xjo0ylfeueD4/jHoJAExVOuC0YtVMgJgjvP0VO4k7Dmen8vR3xSkvoNqzujqJAnt729lXp37RwA5+XwL+HPgLLs3YXA6LqTMtR73HsM5Ycdm6iLwO+DngbcD3ifJP96lqvkFjWxLzE/6v62vnidMzFL2A3T1JRtMl0sWAIGTJirgWsGtLklPjWe76/Ci7tyZxRRidKXBuOo8lFq4NfqD0dyXo64xf1Rf8ZfLYAtt6gD8SkS+o6n9t5WDedvPOluacz5dNOtDfXpN6itmCQE0Wbn9fBwcHUus6J/6T77qVT76rIaf6IvBS4C5gBniDqg415MwN5r2H9tRylt0GOst+oNy2bwvlQGsOZRiGnJnMUw5CJmdL9LTHyOQdfD/gxakCpyaytMVcbtmdmnPtWcgh/fgDQ8Rs4dmxWWaLPp0Jh0P7t/KeQ3sB5thlW0x46NmJOVq2l7PDpbZNHxxJ8+F7jzMykydQiDsW2zoTbO+KN7ThzkbhQH87X/jBGfxAIQyZzvt4QbQSGncsRtMFToxnV1V73OxosgBtMYvuZAwvIJrEv+XAop/lauokmpyP76vqpxtwnqo608eYq850L/BrlU6jtwNpk6+8cVhpU5JzRKoDnwZ+q9J6+FSrHWW49MvT15lge1eMczN5zk4VSbgWScei4IWX5FcuRgicn84zPlsi7tqcny6Qznv4Gi03hwSU/SivVFW5vr85HdY2I6p6z0LbK/rL3wVa6iy3kvkOzP/f3pvHyXVedd7fc++ttav3bkktWatlGcmOjRMnxokxJpkkHsIbMnmZJCx5w7wwhoGENcDL8EJehiFkIBBCBjIYEiYkGQJMHHAWnDghxgkRtuNdlmxZ1i61eu+qru3WXc77x60qVbe6W93VW3X38/189FHVrXurnup76t7znOec3zk9mue+J85zy84u0gmbR06Oo8Bt+7o31eRLRO4A/hT4F6LIy/cAnxeRvwF+R1XdtRzfTBpXJM5NFMnEraiB0RK9kpgjJGNOXQqrMxXj2GCOZMwm7/rEnShHOoHy7MUp+tsTdCTHCDRlAAAgAElEQVQdDm3vJFuaHnWcueLmBQHPX8qRK/nYVtRFcqJQ4eHjo5wYztOWcNjd28ZAZ5Knz47z6JkJtrYn2VJdqfvAP74w7bs3stBIcW2/wckSBddHxML1QmJWhclihaK3MkoMcyEifzzf66r6sys9hm+dGMMWQS2IxxwqgYdV7VbUnnQYnnKX1AxkJbElUmnJJBzuvK6fvf2ZejvrlWI2fell7OD3eRH5aeBzQP2ao6rjcx0gIn9NVMzXV/WL3sfc6kxfAr4POAEUiaRTDeuEZiPLnwXeArwdCETkH1jgBFZEdhLJrGwj8kvvVdUPV/WZ/wbYA5wG3qaqE1d7v5k/nrNjBV4aLfKKXV08NzjFWL5S10+uj2EBgx3MufXuf5UgJOnYtCdi9ZyskSkXEWhPxejLJOufP9ty0EKjLpsZVS0ttBPfemWmA3Mp59KWcLg05cIUZJLRz3E5ZOHWGX8E/ISqPlp9/vci8iDwm8DTRFKVLcXMFYma/Ne3XhplsujheiFeGMlWLsTZsYB0zK7f+D/2zdMMdCbJlT3aE1E+a8yOiotVPbwgJFuK6jMQYVv79MjszBW3E8MFPD/EC0LS8RiOHTVe8oKAM2NFtnUmuemaLgBeHCkQt23cIMSyLDpTUWnLJw6fndVZXmjb9Np+oSp516dS9Y3HChW6Uzad6fjCT8Dy8FPAEaJVjYusQZ3vk+ey9GbipKoNZp4vXu7+OJxzlzwBWynSMYu4Y7OlPRq7bVurUjuxwh38alr9v9ywbV4pXFWda13tCnWmqgrGz8yyr2Ed0GzO8s+JyM8D30uUq/z7QIeIvA34kqrm5zncB35JVZ8QkXbg8eqN8ceYXZtwXmZqxQ7mXG7Z2YUfhkwWKiAgemWS7NUIFCRUJooVQoWyHdCecAgRrulOowrFik/QkOA623LQscEsH/zycUbzLq4f8OLQFEcuZHnvPMtUm42qbNw7iXK6NizPXcySK0VdrLIlj1IlwLEiVQMk6hyZSdh0pSNno+z5PHJqjAuTJYqux5nxEnnXX9Cy+DrjVao6LVVcVQvAr4rI/1ybIS2OgwOdvP+tN03bVnOgv/jsIGUvIBWz2dmdJleucGa8PG3fkOh68vALQ3z1uUvkK8G065QQFU91JGNMeQGVIMQLAkA4M5pnOFeeFpmdueKWK3t4gSJCPc+6puzjhyGVBtWgvBt1NG3c1p6wGcpNH3ONhWrf1vabyJfrjnKNiVLAxbH5bhsrwgBR1O/tRPelvwE+u5AgzXKhKIJQcH0Gs1HhaE37v1UdZRsY6EziWBYlP+TWPR11qbqVDgytZAc/Vd179b0Mm5Wmc5ars6R/Av6p2oL4biLH+U+BvnmOGwRqsipTInKMSD5lLm3Cq9KYA/Xev3uagc4k9z1xHtu2SFqXRfwXmoZRw1fqnnXFV7KhR8y2eGkkTxhGDSJi1XbYZ0YLHB/Ks7M3xYcePF6/SHzq8BlOjRZoTzp0JGO4fsip0QKfOnyG35lxc90MiMgU1OVjaxSBfyaSlduQHBvMcn6iRK5UYWTKxbIidRa3ZpQKqJIt+fihcvxSjuNDeTJJh0K5wjdeHMOyhGu6klddFl9vqGooIluIoi43EP01jgJ/oqrH1nRwC6TmJDx3MUuu7NOZcjg00Mk7b9/NO2/fzb0PnyIIQk5WNWJnww3ALfqzvqZEE/iJhnQLx4KulAMIY/kK7YnLzuzMFTc/CCl6AapKtlQhHbexxMKxBMeyiDuXhZEyCYeCG5BuaFs+5Qb15kwzWWgeaW2/8uxfkaH81QvYlhNVHSMq6PofIrKD6P71nIj8qqp+8mrHi0gXUTHYjUSn6P9W1cPzHxVRs5dSxWew5GNXJzExWyi3iJfc2KzEkujfjds7UKIJ/usPbZ3mDK9G4eZ8qxhLRUT+r9m2q+pfzbZ9s/KhB+cvJVnpVJy1otmc5f+pqj9We66qHvB5opyfBWfaV8W8bwEeYYY2YfXmOdsx9wD3AOzateuK12sX5LzrE7OiK1io1YgKLNphrqGAF4IXhgShh2MLiZhNe8LmC09fZKxYYVt7kr5MfNpF4slzWTKJSD8TIBmzUVWePLc5pZJUtf3qe208PnX4DKWKz8Vs1VGasTZfSw1SoFQJePT0OJ2pODfu6ODrL4yQiNk4FmTLPtd0p4G5l8XXGyLyGuB/EXXD+iuiP8fLgUdF5EdU9V/WcHhXpeYkBEHI+fESCGSLFdIxm3sfLnLPnXv5Nwf7+cg/vcSFiSLuMjlDfgijhcsO5rMXc7z6/V/lO3d10ZWOM1WOVjEsFD9QOlIOJTeKSmdLPnFb6Eon2N6VpC3hkC15tCcdrutv49EzE3TbMcIwZMoNKLg+73nttVd879oE4fxEieu3ZtjV23aFMkeNmgM/17dfq9zcatvhHyLqKPqPRN1pF8KHgQdU9Qer7dbTCzmo0an8rn29fPP4KMN5F0uUVU7bnhNLoDsdY6LgoUB3Os5te7u5bmsHoSqD2fIVTtFC03GWwgp3p3xlw+MkUSrFE0zvzrfuuZqza5idZiPLc4ZEVXVBVisiGaLc559X1dxC81VV9V7gXoBbb731istr7YKcdGxKqpEYu0bVxaqRw9yZijGSb74lrxsogSoW8PjZyShEKnApV+Yrzw1z295utnSkeODIUH2Zbdp3J1p+26xU0y7+LZdzUY8CX1bVOWJO65tjg1m+9vww+blCakROsl01k0AhV/Z51Z5u+jJJCq5PWzyabNW0WOdbFl+H/AHwFlV9smHbP4jI54A/o8VbwtachKODORIxi2TMpuwFXMq5HBzoqEe9vmtfL194xqVYCZqetNsy/4R/OO/y1aNDdKXj9HckcL0olexlOzrY0Z3i6XNZzk8UKXkBjm1x54G+K9Qwbt7Vw+37e6epYczsVNro8B0c6CAds3nhUp6iF3BooHNWObBaytw/PHlh1qtfrbBttRCR3wK+HzgGfAb4tYVeg0SkA7iTKH0QVa0AC7qpXG5EEnBqtIjjRDrv5SBqQrNQ1aaVJJOwcKxIyzuTcHjjDVvpb4+c1LnUJ1ajzfqOrkil6tKUS77sk0k6bGtPTJOSaxZVfU/jcxHpBK66wmDYHDTrLKdF5BbmKIhQ1SfmO7iatvFZ4NOqel9181zahIuidkF2Kz4PvTiKLYJt1cfFto4kugwXJD+EQiW8vEwFOHaI4PDIqQlefyhG3vW5ZWcXj5wcB4mkgFw/JO8G3LavZwmfvn4Rke3A14lScZ4kOhXfD/yhiHyvqra07mQzOXkPHBlCFXy9uoKzCCRs6ErFuZh1ObAN2hIOrhfiWJHUFsy/LL4O6ZjhKAOgqk9V6xpampqTkC/7ZKqpCwnHYmQqykEdmnKxBVKxqBvoUiKoV3OygzBKvs2WPRDY09vGSL7MM+ez7OhO8bqDURFWLTrYmGc9045/8nuum/NzZkYR9/Zn6Mkk6EzF5l2Gne+3Eqy+wPlvACeBm6v/3l8N2ghRpuF8eXL7gBHgL0XkZqJo9M9Vc+3rzLYSemGyRMyGJ89m69J5Fycih3ItNd4b6c0k6UjG2NmTojMVJ+7Ys+p5N7IabdYPbG3jvifO05ZwaE/Y5Eoeg5Ml3rgyxYVFYO4fgWFT0ayzvIMoGjRXR5rXznWgRFejjwHHVPUPG16aS5tw0Rwc6ORP33krX3zmAu+7/ygVPyDp2Ni2kIo7jObdauvgZj8hoqayUVs+D0LwghDLEo4NTnHX9Vu4+8atDGbLjBcqTJV94o7Frt50PZqzCXk/8NGZesoi8rPA73K5IrnlaDYn78JkiVTMYiw/v8EFVUOK2Rb7+tJcyLpkSx437+jgGy+O4VnCNW1Rms9sy+LrGBGR7pmFVVWFnGa7jK4aNSchk3RwvYBkVdUiW4rk3toTNqdHi1T8kHCF15Rq7x2EUaGYiNAWd8i7PieGC3XlnqU6MbNFERsLUuebSFqWEM4yY7CWUbN6gSyloMshShV6j6o+IiIfJipKn9aefbaV0LgtfO3YMJUgJB236U7HL9+L1jqkDGzvSPCK3T31cwgsqInIfLJuy8XxoQIv39XFpZxLrhw55tdvzSxLBz8R+TyXz4ANHCRSSjEYmnaWT6jqnA7xVXgNkfLBsyLyVHXbf2ZubcKmedNNOzg+VCBb8jg2mKPsBYzkXSwRkjGLfGXp8/jGa1yoUPZCMgmHiaJXv1n8yt3XG+m4y3xXY757DVX9YxF5YQ3Gs2Cazcnb0ZXixXScS7ky/lVmaEnHYmd3mqIXcsf+XjpTMfJunDsP9E1Tw5i5LL7O+RDwFRF5L1GOIMArgP9Wfa2lqTkJ29oTHB/K4/ohI1Nu3T5KlahVOcKiO4kuhVrRXlvCxvVDRvPuVaODC2VmFHFkqsxjpybIJJ2rTiRjVhRYaKgpxA+j7auJqp6ZbXu1K+07gFlfr3IeOK+qj1Sf/28iZ3lejg1mGcq5FFyfdNzCC0LOT5aiiQ1gWQCCv0YJ3B1Jh662BHFbGJ0q87Fvnl7wPWumMtViu/MthAuTJXb1trGnb0U6+H2w4bEPnFHVDa3QZFg4TathNEu1pfFcIYQrtAmXSu1GdmGySBAoY4UKthUpWCw3tQhzKm5zx/7e+kViKR2LNiDzXdVWvanNYmg2J+/A1jb+9tvlBRV2lf2Q48N5Eo7FPXfu5U037ainfqQTsQ052VLVe0XkIvDbRGoYAM8B/1VVP792I1sYjU5C0QvIVZ3R/vYE+7dk+MrRIVLxqMh3vNB8rcTiELrTMcpegG1ZvGx7O0U/Sr1YDidmZhTxuYs5FLhxRweWyLwTyesH2nnqXI5AL+dga3X7alLNO/4ZopXS+4EHgXcD7wWeAj4917GqeklEzonI9ar6AtG96+jVPvOBI0Ps7EkzlCszMuUSqBK3BZtopTIqSbh8nVjN/GXbgvaEw66eZNMNklb6XreSqR6q+s8ispXLhX4vLvlNDRuGZp3laZJu1RzkG4ELqtpUrvFKURMxf/j4CH4YEncEDaG0QvI8NpAt+QxNudMk5GZjkzYr6RSRt86yXYCO1R7MYmjmQn1sMMt9T1zEFiHhLFwWyvVDPvrQSwB89djIisoxtQKq+gXgC2s9jmaZ6SR86MHj021FIx3tVDwq/vPDlXOEUrFICq7shSQd0FA5OVbijv29dT3cpTIziugFym37uutpHjD3RHL/lg5UlaODefxAcWzhZQMZ9m9Z9Z//J4EJ4DDwE0TNKOLAD6jqU/MdWOU9wKerShgnWUBHtlq+MhAVWQqIHRXR1OI3jXaxmvHlHZ0pvvtAHy8OF1q2QdJKdvCr9on4fSLZWgE+IiK/rKr/e4lvbdgANOssv1VELqjqc9WK0cNAAPSIyHtV9a+Xb4hL5/hQgTv29/LCUJ6JgrskJYyrEQBTJS+S+ZrHsVkNTcoW5Z+B/2OO1x5ezYEslqvl5NWaUDx5bhJB6Ek7PHlukkKT6T4nRwt84vBZDg10rKgc01ojIr85z8uqqr+9aoNZJhptZVtHgjNjJRxL6ErFuOhG+mAr4QilY8Kunjbe87pr+daJMb5xYozudIxbdncRd+xlvcY0ThBqk4NG5ppI7uhKkUk43HX9tvq2mZPQVWKfqr4MQET+AhgFdqnq1EIOrjrUty7mAxO2cPjkOO1Jh75MjAuTLkE5xLEEGyUIoyJfx2JOPeqVwLHg1ft76cskefJstl6omitH53S5VS2aZYVTPX4deGUt4Cci/cBXiVJsDJucZp3l71bVn6o+/g/AcVV9i4hsI9KpbClnuZbn5AUhXx8rYFdn8Ss1aw+Brz0/wu6eNCLwi3/7NG84tG1a5Hg1NClbEVW9avSlVZnvQn1sMMvvPfACZ8eKWKJczJY5Ori0BNWKHzKUK3Pb3unKKa1y41pGZqvOaQN+HOglSs9YVzTayrbOFAU3qCpQlFZU8aDoKcmYsK8/Knp67XdsucIJXYlrzGKKu1ajEGyB1L17VQ1E5NRCHeVmaezGVPa03sq87F3u2GhbQjpm4wV+vZvfSuFIVFjZFrc5NjjF1o5UvVAVoo6RsPyqFkthBVM9rBkr42OsgwJjw+rQrLPcGJp9PfB3UM/jWvKglpva8vlowSMZs0mlYwRh1F52yl0ZFXgvUM6OFUgnYnSlnGmRY4AHjw4RakhnKs7+LW30ZZIb0Qm6grm6JFXRhXTOWkvmulA/cGSI8UIFy4LhKa/paHIjtgVbO5JMlf0VlWNaa1T1D2qPq1JxP0c0Cf8MkerOuqTRVo4NZnnf/UdX5fd9drzEB798nJMjeRIxa1WuMYuJ+K1GIdgCuVlEctXHAqSqz2vSccueF1IJlFfu7ebkaJFCJSBuRw1AQlXijoUAXqiESL0GZqVIOIIlQsy2+K59PTw3mCdb8tjXl+axUxMocGh7e1XZZU0mM6vNAyLyZS4H+94OfGkNx2NoIZp1lidF5PuBC0TqFj8O9WYTLXcXr0UyxvMVUjGLih/JN+3pa+NStsxEobJkGblG6vJNCo4lVEKtOzufPHyGkhcSswXUouwFPH5mklfs7iJm2xvKCZqDV86yTYhSM3awTkXgL0yWqPghBTfAD5ZnAmaLRcn1+PzTF0nFLbZ3phjoTGJZ1oa7cVVl4n4R+BGidvcvnyklt545ONDJrp40T56dYCVdIMeKls4fPTVGsRLg2EJb3GUoV+Y1+3tX9BqzmIhfKxQ9q6p99b2Wl1rg5vZqHvCZ0TyOLYhEsqOqkapSseJhC3WVjOW0GEfAsS1ScRtLpN5Eq6ctUVXf8bltXw9C1IBrS3tsrSYzq4KI7CfqIPzL1XqaO4j+7IeZp8jTsLlo1ln+SeCPgW1EHfguVbe/DvjicgxsOalFMt53/1HKEz6K0peJk4rZZJJR1LfNEgLVBRdgLYRaq+1ktUHBieE8LwxNsae3je2dSU6NFUk4QtwWjlzIsa8/s+GcoJk0dkmqam7/CFHB6L8Cv7NW41oMxwaz/PFXX+QbL45Q9MIVadNrC3SkYlQCpT1hM+UGDGbL5Eo+73ndtRvqxiUivw+8lUiP9mWqml/jIa0IO7pSxG3Ba7Z93wKoNnisr5gFvuL6HpNFj3PjRRSwFD769RcJiRo2XdOV4hffcGBWKcKrFSHP9jpM1+U9sLWN40MFnruYJVf26Uw5bMkkUKJI6yYqbp6WgrKvL83Ri1mCILqGNKYGVqrd/GyJVpgqV5l/2wJSzfGwLKEyw8ZqDrclsKM7xUTRY1dPmoMD7SRj0T1wE9TLzMUfEcnXUm2Sdh+AiNxafW2uGhvDJqIpZ1lVjwN3z7L9yyJycMmjWgEODnTyW28+xL0PnyIIQi7lyowXPBK2zYEtGS7lXPwwpOwvX1VFqNFSVzru8MTZSSCKNBddj0dPl0jGLHJA3BJSCWfTXKyqKxA/BvwS8Ajwg1X5pZbn2GCW3/j7Izx7fpJKsDIxwpglXNOdouD6TBY9AlUcC7rSMV6xu4fjQwXetAKfu4b8EuAC/y/w6w2pXAtaDheRu4EPE4nR/IWqfmDG6z9GVOV+obrpv6vqX1Rfe1f1cyGSqvvEkr/NHNx941YefG6Q54fyKzLBmo+aIplFJCBb2yBEaRu/8fdHAOZsaT1bEfJsr3/wy8cJVdnd28ZAZ5JTI3nue+I81/aluZSrgMBwtsTRMEfSsXnl3sVJk613GlNQ8q7P1vYE58ZLUR1NtbOsV1VKse1IuQkg6QiK4gU6q+3Ucpu7Uw4dyRjDuRJl/0pVje60gyLcsb+XrnScShCteq6nyPEKqEjtUdVnZm5U1W+LyJ6lvPFa8KEHj6/1EDYkK6Gz/ItEs7GWo/FCFY/Z3H5t9EN74MgQD70wzGC2VM0fW77PHMlXSMVt4k70p+5OxRgpeDgSaT23J2IM511EhAeODNXHuVERkZ8hykn9GnD3XI0BWpUHjgxxbrx01bbDS8ELlYuTJYJQ6cnEidsWfhBydrzIjTs6uDC5imXyq4CqNl1EU20g8SdEtRPngcdE5H5Vnal5+zeq+u4Zx/YA7yNSNFDg8eqxK5L+cXCgkz94+3fyXz9/lMdOT1BZg8YTMzPpvRAslFzZ5388dLLuLNdyrAcni5S9EC8IcWyLtrjNL//dFN8x0MHZ8SIDHYlpRcpP5l0AbrqmC4BLUy5tCYcXRwr0ZRIkY3aU9haG+EHIV48Nc21/hm0diQ1f3FyjMQXl1+97hqGpQdIxCwUmi5fLgVQhZkPJU0K0Hj2emZYhRBHjmC2UvRDBpyeTRIDBbJlQIe4IyZjNNd1tHNreTsJZn9Hk+SZwSyA5z2sbPi/SsDBWwlluvQq/BubKlXvm/CQnR/Isd68SP4ThqQqHBpJctzXDM+ezUPCw7KizV7kSEoRKW8LeLBGWjwDDRHlhn58linjTWg1sIVyYLFH2gxVVU4EoVxAi28kkbOK2RdKxOXoxaqM+HzMl7G7Z2cmPLpO+bgvyKqKOoicBROQzwA+wgAYRwBuBB1V1vHrsg0QrZium5nNwoJNP33M7MP3G/+3TY3V5uaLnL6iBzXISaiRVeGwwC8C9D59icLJEtuhR9kNEhIQqk4UK8ViFG3d0MJ6vkC1WyCSdur6y6wdIwy0gX/ZpT9gMZkv1XGnXDyhWArqqTnbZC3j+0hRFb2WKrVsZN1D29KYYmXIJNcolbktYTJV9YnZUfOf6PhbQ3RZnLF+pK2rEHaj4l2+4lkSd/2opHa+/YVvdIX7gyNCs8nzrbYIyn4rUEnhMRP6jqv5548ZqN+HHl/LGho3DSjjLLdDdfnHUWlL/zKefYMpd/iZyFS/kxeE8x4emouK+ag5aECpdqTg72uOEernr1acOn6GvPblRm5UsKQSw1uzoSpF0bArir5qll92Aih3SnXY4NVpgS0e23vAGInv5+vPDTJQ8RARLlLRjM9CVQoHDJ8e5lHN57xsPbCQ7qrEDONfw/Dxw2yz7/Z8icidwHPgFVT03x7FXJO6KyD3APQC7du1apmHPLi8Xsy0uTAa4q3gZraVo+GHIj3/i28SrTtpY3sX1QyyJIpclT7FtQVBOjhbpycTJlTxODBfqznLCmV4zl0k65EoemapEWjJmUwlCbCsqakvYFslY1I47W9pYKyYLYUdXikq1SU3CsRieKjNeqODYFnv7MkwUKziWhW0Jti30t8eZLHmEqjiWRYWwnoschJEUHdVVy8b0io9983RT3UdbjWa7qF6Fnwc+JyI/wmXn+FaiBjX/bilvbNg4NOUsi8gUs7sKwjpettjbl2E45+L6Ad4yiqFWQiUoefWlexdoi1s4lkV/exzbskhX2zq5vs+/nBjntd+xZVoe4NaOxIoVw6xmJ8H1lnYxk7tv3Mq/nBhhsuiyWrd2HyBQhqc8Eo5w5EKWY4M5Pv7Nk3NKHxbdkPZUjL72JCLCufEi77v/KLt60lec47nOf+P2uC316vjGxwlb1rpQa7aVrJnXps8Df62qroj8FJHaxmsXeCyqei9R8SG33nrrsnqxM+XlHjgyxN8/dYFYscLkKjuPtkC26FHxQ1R1mkJQGCiBRt0BbUvIl32+c2cnT5yZZDTvEqoyVfbpyyQIVcmWPNqTDtvaEwxOlriuv41LuQquH4KCI4IbKH2ZqCU3Ch3JlYjdtDZRwV+xWjdTxrEsghC2d8YBZTTvgkImaVOoKHt60+TKPkE1gmxV24XblgBCd1scEYjZ0yctK9kmejVZie+hqkPAq0Xke4k6EQN8UVX/aUmDNWwomi3wa1/ugaw1DxwZYmdPmoQjfPPEGH61fdJy3Rln5rgWKlGE+fhQnvZkjNv2dgNw9OIU3enLy0xeEHBqtMBo3uXOA/3LnqpRa6YxXqhQ8UNeHJrimfOT/Mrd16+I03OVidaKaJsuJwcHOvntt9zIH3/1RR48NlRXH1gNlEi/e7xQmbPQp0YIXJws0deexA/DqBmGwm17e67I86ulAjgWPPTCMJ978gI3bm+n5IXs7m3DseCRk+MocGBrGy8OFVDg+q1tPDFUQOCKQq1V5Dyws+H5NcDFxh1Udazh6Z8D/63h2LtmHPvQso9wATROTLZ2JNnbm+ax0+PLotd9NYSoa1ykoBAQhtHGWm5sTb7MAmK2RSpmkUk69LcnObA1w6Upl8FsOdJLfuMB4LIaxt7+DG+8cSvHhwo4VTWMbZ1JHMsi5lioQiJms7snzd7+zIp/11YkHbN48tIUivLd1/UxWajw0miBcxNRWk7cthAsgtDH9UO2tCcYnnJxLCG0BQmVVMzhhoEMl3IVQoVb93RM+z22UCOYJbGS7a5V9evA15c8SMOGZPNN5eegtrzTmYp8ta+/MIIfhMsaYZ6JF4ItkTTYSyMFipWA02NFulMO/3pyjP1b2jgxXMAW5cJkia8dGyZTjdYsV67ZJw+f4exYkUzSoT0ZLZWeHSvyycNneP9blz99eCNMtA4OdPLRd95ab/HbmYoxmi/z5ecuMZ73VrRDmwJhOL+jXKOW9zw6VSHh2PRk4lgiV+T5daZiVPyAp85lSTgWXSmHb5+ZoD0RFdGcHI3sA+DZCzn6MgkAnr6Qo7/6+ORosa4du8T8wcXyGHCdiOwlUrt4B/DDjTuIyICqDlafvhk4Vn38ZeD9ItJdff4G4NdWfsgRNQf5uYtZzk+U2NaR4OxYgfMTZbxQVywRwwK2dSbJlT3ybtQ5rqbvW0enP1SiyHPB9VG16UlHBWK2bfFbbz4060pEsezxlaNZHjwa5c3/0hsOXKGi0ejw1NKKNguNf4fXHdxS/zu86eYBPvJPLzHQmcKx4PxEGV8judORqQo9bXHuOtDHxazLRNHjhoF2etriPHFukkzS4cYdHfW0GIh+j7/w+gOt0ghmSbRQQxvDHFxNjeMXXn9glUayvGxKZ3m2ZefG5Z2xgsfO7jTDUy6lFS62CRUKlYBc2ePseJGYbVHyAsYLLo+f8RjLl8lVo0YXNeQAABmGSURBVNwxW/CDkFzRo+gFy5I+8eS5SWwLRqv5iQknqnh/8tzkSnzdDUVjlCMIlaTjYFk+Gmp9eXS5CWc6NfNgCZQqPrlShXjMZnSqzOGTY+zvb6M3k6jn+Q10JnnkVI6EE+WPqiquHzLQYXNipEC+7JNJRMu6effykmfB9bmm+jhftdHVzoNUVV9E3k3k+NrAx1X1ORH5L8C3VfV+4GdF5M1EGS3jRLKFqOq4iPw2kcMN8F9qxX4rTaOjlCt5uH7A4ZdG6ysVK5mxHAJD2TKLLadThb19aSxLODqYp7ctMauMnGPBwy+MMFn22N6ZJBmzr8ibNw7PlcVqXhBwciTPf7+Uw/UC2hI2oQo7e1JoNac8Zlvcvq8HN1Du2tY57Zr/3r97Ompa1NBFt/H32AqNYJaDjfI9DOuLTecszyU9828O9vPVYyMAZEtRp7+udAyKiruM2sszUWA8H+mPJmM2O7tTXJgsM5Kv0B63GSt4iEI8ZjFRiJoLdKdiDGVlXgmdhTrRrhcwlq+QjNlViTJlKOfSm4mv2HfeKDTe9B85NUZvJk4yZvHSSGFFpeWuhm0BCkknqqpPxBy60zH6MglcL+CJs5Mc2JKpL3tnS940h9j1Q9oSDkrkBGeSDm5VqaBWqAXQ1vC4FnleizxIVf0SM9rSqupvNjz+NeaIGKvqx4GPr+gAZ6HRUcq7Aa4X1UmEGkVwV5rFOsoWEHPgtn299Lcn64GF2nXlk4fPcHIkjxcok6UKZS+ICmErAd1tCUSE0bxbXxEzDs/0YrXRfJnHz0wStyXK307FmCr73H5tTz1KXPubzxWZ2yh5yQZDK9K0vul6pfEmVVuS7kzFOD5U4J4791a3WyDCq6/txbEtetLOiurhBURRyEIliiyEYUjR9Tk3GWlkBoDrhYASqjJaqDBecGf9Hp88fIZ7Hz5FtuRNc6JrklAzScedK+TyVKPthqtzcKCTX3j9AW7Y3smdB/q5bksGa43FE22BrR0J3vO6/bQlHIIw5OJkiRPDefwwcm6PD+W5+8at3H3jVrIlj5gtuF7Axckix4emmCx6vDCUZ6pcYV9fmnzZZ6rs87IdHeTLPqNTLumYxfODOZ69kOXZ85N85tGzHLkwuemW05vhwmSJ9uoEI5N0KHlh/Xe4lhOtubBtcCyLEyMFYHrE8thglm+eGANVMgmbUiUg7/qA1idTCcfC9QOODkZKLu/4s2/x6g98jdt/92u87c8O88VnLsz10RuWHV0ppqorMieGCyQcCxGhPRXjhu0dCHDkQq5eMHm1VJXabzlbVctYyDEGg2FhbDqPaD7pmVq0o7a8HndsUBARnKrU0cw2ostNyVdK/pVxHwUqvpKIWdhWlI/aPqN6vD3p8NVjY9y2t3dWHcqZkZxjg1kKrk+gIXk3xLGERCzKbd3WOZ9Ou2EmtajOWNGjLeGQd/1V79LmCAx0pehMOeRKPn/44Iv4oWIBQQjjRY9c2WN3T5p9WzJ1e7jnzr188vAZHjgyyJQbkLCFIAzxA+VS1uXI+Sy37eupK2Ac2Co8f2mKXLkqYSXgByFlL+D8RImTIxuyW/Wy0hgF3N/fxkvD+ZbW3AxC8EUZyZWB6RHLTx0+Q9nzOVv2SMVtHEuwLaFQCehpi1aoXD9EQzg3VsLzAo5ezGFZFpbASK7MB/4xauA5W8vtjUpjGle2VCFhW7iBcsP2Dvrbk7xybzdPn4+Ub2ptwj91+Myc6jMmvcVgWDk2nbO8kKWqxotOJmkzWfJpTzo4ljCar6xoAddc1IpsSl5I3BY6q0vsM7+HILM60TPzSGvpKB2pGEEYMlaoUPRC4o7Nnp4UN2w3F9jFULvxjecrxCyhKxVjougtiwNkcWXntZkIYFmRhNR4vsJ40cWtZg8F1fdwrGiZf3jK5buqxXgQ2fv733oTz57Pcna8SMmL9H57klGU8PjwFAUvIBVzuGVnJ/G2ON9z/RYePHqJzpSQiEXpO7YtdCRjfOLw2WX41hubRkepN5PgZdvbeejFsasctXbUUkNyZZ9TI3ls2+Ltr7yGY4NZvnFijK5UjLFCBbfa7Q9VKoHSFrcpVXzybkCoyk07Onn87AQi0YSsHCiVIKSvLc4nDp/dVM5y432mtpr58l2d9LdHgYpkzOGWnV2UvJBrutO4vs/hk+Ozqs80OszGOTa0Muu1AHDTpWEsdKmqtrz+0R99Bbfs7KK/PRF1slqjcTdSCZShXJmvHBnk1EieUJXTo3n+9eQYJc/n4eMjjObL9f1ny1urpaPs6EoyVvCq8lBK3vV5fijPga1tq/211jW1G19PJk5IJLHVmXJIOs1bTFtM2JKJIQt4iyjaBGfHilzMuZRnpNmHgEY+DIVKwL+8NMqHHjw+LT0n5/qk4zbtSQdLomhXoRJQCaJiPseKGpx85bkhHjs1xvCUS8H1mChUyJWj/22JbNMwPzV76UzFGMyWuXlXD3dc29OSF2RHIsct6dik4haXpty6g/bAkSG60zFScYftXSksUSp+iB8qHUkHL1T8EG7f18P+LRl297UxWaxQCUJCVWwLvCBkyvU5O1ZY66+6aETEFpEnReQLzRxfu8/8wdtuYl9/hrhjT7svCdRT7E6OFGlPOmSSDidHi/Xtq6w+YzBsSjZdZHmxS1W17n4PHBni6GCWwy+NEYQhJW/tFk1ry+rDeZd/fnGUXWMFPF85sDVDOmHz2KkJDr80zm37uim6AS8M5bmmO1Xv+nZwoLOejvL46RJhGOJXi4uCMCQMQ751YmxTRXmWg4MDnfzWmw/xwS8f59RoAa02aoDp3S8WajkiQqXaDGKhzBeBriX3qEYpPTVN5e/e38uP3r6brR1Jjl6YJNCoda6qUBMwq/ghqXhU0DflemgOHEsoV3PpRaLo4+mxIvv6Nqde7mKZGQV87989zesPOXzl2PAVdQSrTU1jmer/u3vT3Lyzk562BIPZcn3cUfpaO0+dy0bXDhUyCRvXF+480I9lWXXHuia1GLVlDnEsi1AjlZ8ghESsFUIRi+bniKQIl6QPP9d96WPfPE1PJrpN58pe1KGPpanPrGYTKoNho7DpnGVY/FJV4/7/8a8e4+xYkXPjRYorKcI8D7VPFSBmCRcny9yxv5c9VSflwFaPR0+P89nHo6KZ7rSDY8Hp0SL/8NR5Dm3r4NjQFLmix/iMVAELmCp7HD7ZukvCrc7WjgQnR/OUKkHd0bUkmowsxgcq+yErJfQ9MuXSlrDpSjkcuZjj9x54gbhAsdoEI+5ELXMhiiz61QTsqbIfqaaEIZdd6cgBdyQac+cm7MS2HOzoSpFNOPS1xRlbxnSvRsd3Ia8LVFtcR62tUwmH1x2MVt6yJW/aKlUtre3lu7p46PgIoSpx22J3b4o9fRmyJa9eL1FLPWlLOJTzLhUUAZIxiyAM2dWzviTYReQa4E3A78CSe2LMel9qTBvsSFa7HdK8+sxcalDL1eTKYNiomLvaIjk00Ek6ZpN3fYqTa7vcHChUggBVYTBbZk9fhuOXchw+Oc5UyatHEoemPEamPNoSFmVPuThRJhkTit6VjQ9CoOTDsFlKXzSNN6Lb9vbw2KkJSmMFfG1O4SBuCZXFetgLQABEKVYCutNxhqfKdYm47rTDRMmnEkRa0TEBy4oKXAFKXkAqbrOlPclLI3kc0fokIBGLnO/xVW7TvFGoOZOHBtr59plJipWgqVOfcqK2x4VKQNmrtq4OdMHOd1ToaxGvFuklHKveznpm17famDtTMTqTMfra4lQC5eadkeM1U+f3njv3cmGyhKpSqERXqHTC4cCWDDfv7L5yMK3NHwG/Aszp5YvIPcA9ALt27Vr0BzTmtu/rT/PIyQkEODjQXk/VWEwXvpnazvMVgBtak6vl/BpWJi+6FVPkWpq7b9yKZVm8Ylc3vW3xBWuirsQCY7ScHtKedBgrVDh+KcdDx0eYbHCUa4TAlBtiieKHSqESkp4nnza/Cm12NxqNN6KTo0XsqrpIs+e+6OuKtNOO2WCL4Pohrh/iBZHkVyUI2b+1g2v72+jPJGhLOKTiDo5lEXcsShUfVYjbNjdd00lbIur6mIpbJOM2HalY1NSkpXUdWpeaM/mdu3q4cXsHXalYPcrrsLCLddyCbV0pbMvip+/axyt3d6EaaW/bREWeAiTs6HntPVMxqV/LNFRiluCH0JawuXV3N4PZMp2p2BURyMbcayRKHXrF7q66NvBsxdO/9eZDvHp/Pz/4ip38h9fs5Q2HttHdllhXEmci8v3AsKo+Pt9+qnqvqt6qqrf29/cv+nMa/75eEOV+37avBz9k1vNxNRolC2usdiMhg2E9YiLLi6Qxt2x4qsyxSyGlSoAXzO4i2FJTIRC8ZdQSqzlggcJ1W9o4M1bk8Knx+tL5XAQKItX2tgupHDMsmEZZwnzZZ8r1yCRsLIFiQ0oGRA6QLiBobC9jJ8Da2bYtC0XrDnPCsVCgIxlj/5Y2Hj/jsbUjgRco123J8Mz5SaTqPL362p5IkcWx6UjYnBmvRCkYFowVQiYQvufA4p0CQ0R9Kb4a+fj1+57hyMUcubLHeKFCqRLgVw2ippDjWJFT259J4oVKf3uSd92+izfdtIOf/J7r+OIzF/jE4bOcGy8iAr1tcVJxB6lGdyeLFcp+SHdasIB8JSAEdvWm+U937btq7cJMyc2Ybc8Zia7tvwEkzl4DvFlEvg9IAh0i8ilV/dHl/qDlVLhYiBqUyWk2GK7EOMtNcPnidYBjg1k+efgMh0+OMThZxvdDbEdIxRx29qToTcco+srZsQJBqEwUKiyle3bcjoq+FEg4QsKx6ckkaUs4HD45Xs8znOsjQo0aBHh+WL/pbgRE5G7gw0QBs79Q1Q+s9hgab0SZpMNgtkTMFjpSMTpSMcYLlWohXOSkLkSzuzcTj+QKl+FUKdCTcvACxVPoSDncsquToxenooYj13TSl0nyit1dHLmQA1H29mf4T9977bSbZe1m6lbHH7MFq5qmodViP8Py8KO3766nObi+z7dOjHFxskwyZrGrJ83+LZlpRXSz8aabdqxKse5inOD1LnHW2BVSRO4C3rsSjvJy05jW0Z50rpjQmJxmg2F2jLO8RGoatTD9QtN4IfrV6g0kW/IYzpV45NQEFT/A9cIoJ3UObCLt3JhjkbAtipUAx46qzct+iCXCzp4099y5l4998zTXbckwUaxwdryEW5W5m1m851iCY1mIw4ZxlkXEBv4EeD1wHnhMRO5X1aOrOY5p+YV9aY4PTVGqhGzpjaK0E4UKAqTiNgOdSU6OFKIofwizZfnGqrrI+/raGMqVmHIv52Q4EtmF64dzOtJS/RdW/4/ZsK0rzS07O3n1/l6ODxW4MFnihu0dDOXcekQwZtvs68/MeYOsOToPHh2iLR61NK5FqNviNqfHzJLucjHdAfV5yy3XcGBrW/3ctVrkb707wRudq01oTE6zodVZq5ztlnKWWyE6uBSudiG69+FTbOlI8YYbYhy9OMVE0WNXV5JTYwVyZR/XDwjDyJnKJGz625PkSl7UQdAWhnJlyl6IbcHO7jTbu1L8yt3Xc3Cgkx1dKTw/IFf22dIe51LWrad9JCwIEGK2sL0ziW1Z5MoembjNidHirN+lpQzj6rwKOKGqJwFE5DPADwCr6iw3nv+863P73h6evzRF2VN62mIM7Onm9FgRsQTHtjk40MHevjYySYfPPXkBLwgJqv5wOm6xp7eNEHjDoW31iPWBrW185GsvUaj4FCs+6ZjFRGn2boHtCRvLsuhKx7hpRyd7+zPTChve1LDvzKXXhSyLK0oqZtPdlqhvK1f8eSeAhsUzmwP6pjn2Naw+qvoQ8NAaD2PBzDehma/DrcGwGrRqAWPL+EStEh1cKnNdiGZGiO66fks9ItToqCRsQYEnz00iIrzmuj5U4cRIgVIlJJOM2qEequYI1j4rimoWuX5rhsFsGdUoF6096dCeirGnJ01PWxx3RpvUt/3ZYZ4+M05D0JKEBTfv7lmlv9iysAM41/D8PHDbWgxk5vmf6YT+6vcdrL9eW4mIOzb7+tq4lHPxw5D+TAI/CAkUOpLOtKr3gwOd7OvP1HW/syWfYtnjwmSZQsVHVXEsQCxs22J7V5Jr+zLYtjVvAVUzEcFbdnbxyMlxECFRjXLn3YDb9vXwQFN/PYPBsJYsJKfZsHTWe2BwM9IyzjItEh1cSeZzpGdurzlSMTvqqBZ3bHZ0peZdGq854zHH5vZr+xa0PPuu23fxgclSpGyQsJlyAwquz7tuX7zM0RoyW5bsFeHNpco4NcN8TmjjOdvenSII4cDWqMvZmdECx4fydKajJdHGSO9CHNvVKNJ55+27GcyWGS9UIv1lx2JXb5p33r6b313WTzIYDKvB1XKaDUtnowQGNxut5Cy3THSwFWimYryZ6GCt8OcTh88ylCuztSPJe1577Xrr3nce2Nnw/Brg4sydVPVe4F6AW2+9tSVyBRrPWaODO1thXbPvu1I0drdsxfxZg8GwODaIUkmrs+EDgxsR0bXuq1pFRP498EZV/Ynq83cCr1LV98zYrx4dBK4HXljVgS6OPmB0rQexCGYb725VbWktMBFxgOPA64ALwGPAD6vqc/McMwKcWZ0RLpr1Zjdw5Zhb3m6aocXtBtaf7azLa04ztLjtrDe7gXV6zRGRHwTunuHr3Kaq727Yx/g5K8uibaeVIsuLjg62OiLybVW9da3HsVDW23hrqKovIu8GvkyUA/bx+Rzl6jEte1Fdj+dhPY65GVrZbmD9nYf1Nt6l0Mq2sx7Pw3occ5Wrpg0aP2dlaWbMreQsPwZcJyJ7iaKD7wB+eG2HZFgvqOqXgC+t9TgMBoPBYJiHBQUGDa1Fy7S7VlUfqEUHjwF/e7XooMFgMBgMBsM6oh4YFJE4UWDw/jUek+EqtFJkeSNGB9fFMkoD6228G5X1eB7W45g3IuvtPKy38W5U1uN5WI9jbiptsMVZj+dh0WNumQI/g8FgMBgMBoOh1WiZNAyDwWAwGAwGg6HVMM6ywWAwGAwGg8EwB8ZZXgZEZKeIfF1EjonIcyLyc9Xt/5+IXBCRp6r/vm+tx9qIiJwWkWerY/t2dVuPiDwoIi9W/+9e63FuZNaj7Ri7WXvWo92AsZ1WwNiOoRk2u92YnOVlQEQGgAFVfUJE2oHHgbcAbwPyqvrBNR3gHIjIaeBWVR1t2PZ7wLiqfkBE/h+gW1V/da3GuNFZj7Zj7GbtWY92A8Z2WgFjO4Zm2Ox2YyLLy4CqDqrqE9XHU0TSd+uqX3QDPwB8ovr4E0Q/BsMKsYFsx9jNKrKB7AaM7awqxnYMzbDZ7cY4y8uMiOwBbgEeqW56t4g8IyIfb8ElIgW+IiKPS9ReE2Crqg5C9OMAtqzZ6DYZ68h2jN20EOvIbsDYTkthbMfQDJvRboyzvIyISAb4LPDzqpoDPgpcC3wnMAj8wRoObzZeo6ovB/4t8DMicudaD2izss5sx9hNi7DO7AaM7bQMxnYMzbBZ7cY4y8uEiMSIDOjTqnofgKoOqWqgqiHw58Cr1nKMM1HVi9X/h4HPEY1vqJqbVMtRGl67EW4O1pvtGLtpDdab3YCxnVbB2I6hGTaz3RhneRkQEQE+BhxT1T9s2D7QsNu/A46s9tjmQkTaqkn6iEgb8Aai8d0PvKu627uAf1ibEW4O1pvtGLtpDdab3YCxnVbB2I6hGTa73Rg1jGVARO4AvgE8C4TVzf8Z+CGipQkFTgM/WcuTWWtEZB/RLAuituf/S1V/R0R6gb8FdgFngX+vquNrNMwNz3qzHWM3rcF6sxswttMqGNsxNMNmtxvjLBsMBoPBYDAYDHNg0jAMBoPBYDAYDIY5MM6ywWAwGAwGg8EwB8ZZNhgMBoPBYDAY5sA4ywaDwWAwGAwGwxwYZ9lgMBgMBoPBYJgD4yw3iYioiHyy4bkjIiMi8oXq8x+rPn+q4d8hEdkjIiUReVJEjonIoyLyruoxe0TkvIhYMz7rKRFpKaFvQ3MYuzE0i7EdQzMYuzE0i7GdyzhrPYB1TAG4UURSqloCXg9cmLHP36jquxs3SNRT/SVVvaX6fB9wn4hYqvqXInIO+G7gn6uvfwfQrqqPrui3MawWxm4MzWJsx9AMxm4MzWJsp4qJLC+NfwTeVH38Q8BfL/YNVPUk8IvAz1Y3/TXwjoZd3tHM+xpaGmM3hmYxtmNoBmM3hmYxtoNxlpfKZ4B3iEgSuAl4ZMbrb5+xPJGa432eAL6j+vhvgbeISC3q//bq5xg2DsZuDM1ibMfQDMZuDM1ibAeThrEkVPWZ6nLDDwFfmmWX2ZYnZnur+kZVvSQizwGvE5EhwFPVlum1blg6xm4MzWJsx9AMxm4MzWJsJ8I4y0vnfuCDwF1Ab5PvcQtwrOF5bYliiBZfmjA0jbEbQ7MY2zE0g7EbQ7NsetsxzvLS+TiQVdVnReSuxR5cnbF9EPhIw+bPAu8HisBrlz5EQwti7MbQLMZ2DM1g7MbQLJvedoyzvERU9Tzw4TlefruI3NHw/KeBi8C1IvIkkASmgI+o6l82vOekiPwrsFVVT63Q0A1riLEbQ7MY2zE0g7EbQ7MY2wFR1bUeg8FgMBgMBoPB0JIYNQyDwWAwGAwGg2EOjLNsMBgMBoPBYDDMgXGWDQaDwWAwGAyGOTDOssFgMBgMBoPBMAfGWTYYDAaDwWAwGObAOMsGg8FgMBgMBsMcGGfZYDAYDAaDwWCYg/8fnL57sy53H80AAAAASUVORK5CYII=\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from mlxtend.plotting import heatmap\n", "\n", "\n", "cm = np.corrcoef(df[cols].values.T)\n", "hm = heatmap(cm, row_names=cols, column_names=cols)\n", "\n", "# plt.savefig('images/10_04.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Implementing an ordinary least squares linear regression model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solving regression for regression parameters with gradient descent" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "class LinearRegressionGD(object):\n", "\n", " def __init__(self, eta=0.001, n_iter=20):\n", " self.eta = eta\n", " self.n_iter = n_iter\n", "\n", " def fit(self, X, y):\n", " self.w_ = np.zeros(1 + X.shape[1])\n", " self.cost_ = []\n", "\n", " for i in range(self.n_iter):\n", " output = self.net_input(X)\n", " errors = (y - output)\n", " self.w_[1:] += self.eta * X.T.dot(errors)\n", " self.w_[0] += self.eta * errors.sum()\n", " cost = (errors**2).sum() / 2.0\n", " self.cost_.append(cost)\n", " return self\n", "\n", " def net_input(self, X):\n", " return np.dot(X, self.w_[1:]) + self.w_[0]\n", "\n", " def predict(self, X):\n", " return self.net_input(X)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "X = df[['RM']].values\n", "y = df['MEDV'].values" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "from sklearn.preprocessing import StandardScaler\n", "\n", "\n", "sc_x = StandardScaler()\n", "sc_y = StandardScaler()\n", "X_std = sc_x.fit_transform(X)\n", "y_std = sc_y.fit_transform(y[:, np.newaxis]).flatten()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<__main__.LinearRegressionGD at 0x7fb0c0c2feb8>" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lr = LinearRegressionGD()\n", "lr.fit(X_std, y_std)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(range(1, lr.n_iter+1), lr.cost_)\n", "plt.ylabel('SSE')\n", "plt.xlabel('Epoch')\n", "#plt.tight_layout()\n", "#plt.savefig('images/10_05.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def lin_regplot(X, y, model):\n", " plt.scatter(X, y, c='steelblue', edgecolor='white', s=70)\n", " plt.plot(X, model.predict(X), color='black', lw=2) \n", " return " ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lin_regplot(X_std, y_std, lr)\n", "plt.xlabel('Average number of rooms [RM] (standardized)')\n", "plt.ylabel('Price in $1000s [MEDV] (standardized)')\n", "\n", "#plt.savefig('images/10_06.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Slope: 0.695\n", "Intercept: -0.000\n" ] } ], "source": [ "print('Slope: %.3f' % lr.w_[1])\n", "print('Intercept: %.3f' % lr.w_[0])" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Price in $1000s: 10.840\n" ] } ], "source": [ "num_rooms_std = sc_x.transform(np.array([[5.0]]))\n", "price_std = lr.predict(num_rooms_std)\n", "print(\"Price in $1000s: %.3f\" % sc_y.inverse_transform(price_std))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimating the coefficient of a regression model via scikit-learn" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import LinearRegression" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Slope: 9.102\n", "Intercept: -34.671\n" ] } ], "source": [ "slr = LinearRegression()\n", "slr.fit(X, y)\n", "y_pred = slr.predict(X)\n", "print('Slope: %.3f' % slr.coef_[0])\n", "print('Intercept: %.3f' % slr.intercept_)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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rOXz1zA1+Rn/4bc9hsTnajNGHEDN+IcTiBlyjVEo5PdgBUsqVwErP3weAIQ3rnkKhaA68bpFvdh4l0qjDbHUwqnfnJhN1q825ru7931crWPLwFX7bJubfQczQyRSVVDX76uWmJtRQ2Ru4Pch+AbzReN1RKBTNjdnmYPH6Q/RNjWdyTjqllRbio01sKyjhk/UHuXpwt2ZZsHQ2q3vLysro0KEDdvvPOv+6iGgue3A2Y4b3YuKIHjw2b0OLWL3clIS6e49KKVcFO0AI8WQj9kehUIQRby5/uUeT31tA3FTDkGuF4LL+ycxfs59Zi7b4FkxdkZ3CTSN6om0FgU8pJb/85S/55z//6bd9yB0v0S45EwewaN1BBDBzfFarWb3cWIQy/C4hhElKaanvACnlgkbuk0KhCAOBVr9ekZ3ClJw0NHYnBo/bxGx3Mn/NfhbVknH2GspJo9J8x7ZE/vOf/zBu3Di/bRkX30K33JvrHLtsc2Gzua+ak1DB3SlAoRBijhDiCiFE23p3FIrzhPoKiC9ad5B53+yj4GSlL3hr0mtZVs+CqWWbCzHqtc0W6A3GiRMnEEL4Gf2ePXtSeKw0oNGHM18HcL4Q1PBLKa8D0oDlwO+AIiHE34QQo5uicwpFS6SlZLucCcFWvy7bXEindpG+FbDlIRZMFZebWfXj0XqPaWqklNxwww107NjRb/u2bdvYt28fHeJj653RtxR10qYmZIRGSlmBW29nthAiAXcO/p+FEPFSyuRwd1ChaEk0dwnDsyXU6tfSSgsxEXqMei1x9SyYSk6I4vZLepMYF0FvKXG6JJUWO9EmfbPV812wYAE33XST37ZXX32Ve+65x/d/Y6wDON9o8J0RQrQHJgA3AfHAv8PVKYWiJdLSShieCaFWv8ZHmzDo3A4Au9NVx1AmJ0TxfP4wFqw5wHMLv/cb9KaNyWTx+kPMXb2vyQbDwsJCUlNT/bYNHjyYb7/9Fr1e77f9fFAnbWxC5fHHANcCk4BsYDHwDLBChlPWU6FogbTkEoahqD3rjYs00C7KQFmVjYv7duFYWTVdE6IAMGg1TBzZ089Q3n5JbxasOVAn4LvQE/DtkxLvFzsI12DodDq59NJLWbFihd/2ffv20bNnz3rPa6lVvpqLUHfkIPBf3Hr5n0sp7SGOVyjOW1p6CcNgeGe97aIMpCbFcFFyPKeqrCTEmHC6XBh1Wl+mTnm1jT//Zzszr+pHfl4mJ8vNJMZF8NzC7wNee+nmQiblpBMboafC/LOJOJfBMJDraO6cd7njjjv8jnvnnXeYPn16g98DaJlVvpqaUIY/RUpZDSCESBJCIKVUGsmKNklLL2EYys9u1Gu5ZnA3Zq/cU9ddk5eBze7EKSVxkQYOHD+NTqthe0EJJZVWeksZMkbQPtroZ/jPdjCsHUdxlB3lq5f9Df7ll1/OsmXLzju55KYiqOGXUlYLIZ4Afos7A0gIIRzAn6WUTzVFBxWKlkJLDhI2JOgcKkYxqGcSG/YVM21MJuMHprLnaBkHjlVwWf+uGPW6kDGCU5XWOtvPdDCs2UeXw866N+/l9DH/9/vw4cN06RKwjIeigQQdLoUQM4FRwGApZbyUsj0wFBjp2adQtBkaQywsHNSXo79w3UFmr9ztSzcNFaPo3bU9/9t2mDkrd3PVoFQSo02MG5jCF1sOU1Ftq7du77jsFLYVlPjN9uHsBkNvHw99u5D/PXWdn9EfNOVRLDaHMvqNQKhPaj5wqZTypHeDlPKAEOIW4AvglXB2TqFoabTEIGFDg86h8vMrzXaSE6N953RsH8nMd9Zwy+h0YiL05Odl1MmM8bqJPl1/CJNee84ZM9+u3VBHTK1T31z63nA/wlM2Uvnoz51Qhl9f0+h7kVIWCyH0gU5QKM53WlqQsKFB51AxipgIPSCx2J1UWe04nJIDxyt46qNNxEboGdgziVvH9uKW0RkUV5iJjzaxtaCEZz7ezBXZKXww8xKqLHZ3fOEMB0Oz2UxmZiZFRUV+2/MenIshKs7Xx+aOo5wvhDL8wdYyt711zgpFC6ShQWen08W47BS/lEwv47JTcDhdFJ2swqTXEmXUI3E/4XSINXHrxb3ISkmg2ubA5ZKUnrbyypJt7Dzi1rXfsL+YpFgTb9+dd8Y6Po8++ijPPfec37bs/KdITMv229bccZTziVCGv58QoiLAdoG7nKJCoWhmGhp01moEU3LSEMDqnUeJqKGzPzknjT1Hy6kw27l+WHdcUuJySSaPSuOy/l1ZsOZAHaXOJyYO5JXPtrPrSBnl1TaKKyyU13DFhMoyWrNmDSNHjvTr7913383Lr77O7JW71WKrMCJawzqsQYMGyY0bNzZ3NxSKFovV7gxoLPPzMn2BaACb3clpi50ok57yKitxUUaqLHb0Wg0Pvb+O/t0TfAbWYnPgcErmfrO3zireWy/uRf9uiZRX24g26dlWUMLcr/fyyowRvqePd1fsDphlZDVXccEFF1BVVeW7ZnR0NIcPHyYuzu3W8Q0aNeIoEcaWuSq6JSOE2CSlHFRnezDDL4QYK6X8yvN3dynlwRr7JkgpF4alt7VQhl+hCE2VxY4QgpMVZtpHm9heWEJRcSXXDu3umylbbA5mB0j7zM/LQAAOp8Sg02D27JPAxJe+9LmRkhOieCF/GF9sO8KSDYcorrD4yTuXnLaSGGti7td7Az6BWDe8z6olH/pt+/bbbxkxYkS43542SX2GP9QQ+iJuqQZwa/PUdLo9BjSJ4Vco2hJnI3hmtjl4/+u9/G/bYdpHGzlVafWlV5abbUzNzQCoN48fYFJOGv/ZVOgrwrKjsJQ/XNPPz+g/M2kIRr2OYekdGDfAncb5zle7WLTuIBoBw9I70Ll9ZJ0so5P7NrN5zuN+2x599FGeeeaZc3uzFGdFKMMv6vk70P8KheIcOVP1T+8gITwpnVa7s04+fc2UzmDSzFNzM0i/IJYvth3mq+1HAIiPNvkCvC/kD2fBmv11Crk8nz+MB+asZemmQqbkpFNebfUNFraqclb+aYpfW126dmXP7t1ERkae8/ulODtCGX5Zz9+B/lcoFOfAmap/egeJ7bVm5rWx2J1UWew4XcFlFyrMNvokJ5AQE+Gbze87Vsa47BSyUuODVuWaMbYXT320iVOVVpLiIjDoNGz8YBbHtn/t107u797g8xd/6Rd3UDQ9oQx/DyHEYtyze+/feP7vHtaeKRRtDO9CrJrKmeXV7qzp2oJnNQeJuEiDb2ZeX0qnyaBDqxEh0z5v/etKTtbw2988sic9O8Sh02mYtWhLwH4v21zI5Jx0kmJNxMeY+Pjjj/nsEf+KVxmX3Uq3UROYMLQ7TqcLlOFvVkIZ/mtq/P1irX21/1coFOdAlcXOQ9f1p29KAqWVFuKjTT4felFJld+q1ZqrdcurbWwvLAmYox8XaeCG4T3YXlhCQrSp3rTPcdkpfH/wJCcr3OW1vbN5jYBbRqdTabGHFGnL6WYiyuS/rjO2cw+G3PESkREmxmWnMDknDa1GeYmbm1AibauaqiMKRVsn0qRnW0FpnXz55/OH8di8DX6rVmuv1n17+S5eyB+OxiOpkBRr4vZLepOVmkClxU6kUceen8rqLUhy4/Ce/GHOd3X6tHRTIZNHpRNpqF+kzagV3D7lBv735Rd+2//7zUZGD+1Pcbk5oPyzovkIVYhlW7D9Usqsxu2OQtE28bpu6vOhzxyf5bdqtfZq3aKSKl75bCu/v6ofU3LS0WgEc2rJL1+RncKFXduTX0tryGJ3cN+731FUUlW7W1jsTkoqLZSctgR8ojjy/f/4YdGrftsefOpFTiYM5KUVxzhq30dWagL3vruGS/t19WUXKZqXUGLWLsAJvAdMBMbX+lEoFI1AqGLoKYnRfml03tW6Ndl1pBy9VsOPh08x2+P/r6nWuWjdQeas2uOTYnBr84BRr+OEx8VTG6/k8uyVu5k4ogcThrqVSatLj/LF41f5Gf347lmMf/Yzug29gufzh5GcEMXCdQdJ6+xelLV0U6GvoLuieQlq+KWU/XGXXYwG5gHPAn2AI1LKgvB3T6FoG4QSWjtRbmbxxgLfMREGHdNqSURb7U6KK8z0SY5nWRC1To0Q7pW+K/Zw40tfsvlAMeNCSC7vOlLOA3PW0qtzDEUfPcbqV/0Lo+Tc+zaDZjyH1QmL1h3kozUHmDG2l1+RFm/mkKL5CbkGWkq5C3gCeEIIcRMwB/gT8EKY+6ZQtBlCCa21jzby3y1FlFVZyc/NQAjBp+sOMqhnEtPyMikuNxMXZaTw5OmQgdiKahsrfvjJF+R9e/kuns8fhsD9dFFTcvnGET14YM5aAFZ/No+3fv1Pv+sNnPQwCb1H1m7GP9PHU6RFqWu2HEIafiFEF+Bm4DrgFDATWBTmfikUbYpQQms2h4tXZ4xkR2EJLilZsv4QyUnRZFzQjrIqK+2ijfxQWMry7UeYOT4reNpmpIGvdhwhNSmasiobRSVVPDBnLTPG9mJyTjoWm4PoCD1FJZU8MGctP/74A9+98Ru/61x73QT+8fZ7TP3zijptwM+ZPlcP7uYr0uIVf1M0P6G0elYBMcAC4GOgtOZ+KWVpoPM855qArwEj7gHmYynlE0KI7sCHQDywGZgqpQz6/Ke0ehQtibORVGgIgYTWxmWnMHGEO+OmuMLCFdkpzBiTidnm4MNv97Os1ira6XkZHCsz8/mWooDyy7eOzfS4dUTAlNHYCD2v3TqSOSv3kD+6O/2zsig+6q+RX3j4J5K7dMZqd3JjDR2fmpj0Wj6YeQlWu4NH523wE39TNB1nK9J2iJ9X6NY8UABSStkjyLkCiJJSVnqKtqwG7gHuBRZKKT8UQvwd2Cql/FuwzivDr2gpBFOdbAyj5hVa82bcbD54knc9RtnLG7ePYvn2IwGfDiYM7c6gnkl07xjDR2sO+LluJuek+Yqt15ZdmOhx6RRXWHj/nosZds1t/Pjle37X/uTTxVx2+RU+lcxAK429XD+sO5Nz0rA5XEQZ9Upds5k4K5E2KWW3s21QukeUSs+/es+PBMYCkz3bZwN/BIIafoWiJXCmkgoNvWbNp4efTlXz7ordPHr9AO74+yrfgiovcZEGOrarK4Lmxetb/78P1nPjiJ5Mzkn3zewF8G6QlNFfXd6HT/+7gthIfz9896FXcPG0Bxg5Zqif8fbWIA60LkDN7ls2ofL4O0kpj53tMUIILbAJSAPeAPYDZVJKh+eQw0DAyslCiDuBOwFSUgJnHCgUTUlDa9s2lECCbFdkp/DAtf0x25x1jD7gkXKwhlxFW21z+Eomto824nS6eOOOnHqzfRZ/t4uHbhpJWVmZb5vQ6sh74H30EdGcKLcQY6obmG2JNYgVoQk1PVmGvxTzGR0jpXQC/YUQ7XAHhHsHOqyec98E3gS3qydEHxSKsNPQ2rahMHvKF75fS7O+pkzC5Jx0X4DWq90TadAxY2wmHeIiggZvvVk0NTV/OsZFUGEOnO2za9mbFK5d7Lfts8+/ZNF+nc/FFKzsYUurQawIzdmWXvQigGD7AZBSlgkhVgLDgHZCCJ1n1t8V+KmhnVUompOG1rYNhs3u5NP1h7hyYGrQp4epuRnMGJNJx3YR9E1J4FSVhQ5xkRSdrOTHolNBa+fu+amMmeOzyEpJ8M3CT1SYiYnQ+/W/5MBWNr37qN/5GXk30m3sNA6LC5gxNp7nP9miXDfnIaF8/Gd9p4UQSYDdY/QjgEtw5/+vAG7AndkzDfj0bNtQKJqShta2DYTXl3/ytIXxg1LrnX2De+ZfVmXligHJvLtyTx3tnptH9qR7x5iAeffTxmTicjk5UmpGAnanCwk4XRKnUzIuO4X5K7ayctZkvzZj4xP595freGHpTvBcd1peBh/MvASXVK6b841whtk7A7M9fn4NsEBK+ZkQ4kfgQyHEM8D3wFth7IPiPCVcKZXBONtgZm1ffodYE/+4Kzfo00O0yRA0EDs4LYmLUuKZnJPOqUoLHdpFsuXgSZxOJy4Jy7cfYfXOo0R6CqqP7N2ZW3J68s2c51g5d65few//ZQH3TxvvW6jlbau4wsIbn+/gyZsGN84bqGgxhO2bIqXcBgwIsP0AMCRc7dakOYyDIvycaZWqxuRMg5mBMoFOVPdRttQAACAASURBVFjYcuhkve6a64d1R68V9QZivZk7t77hXjzVPtrI/90wkE/XH6RvSjxLNxWQlRrPlBoZPX99Zx4xl/fxu86jjz/Jgw89zNaCEh6Ys9YvZdSk19Iuysj+YxUNjl0oWg/nrRVsTuOgCB/hSKk8U84kmFlfJlBtGeWaTw83jUyjPEQg2at/U1Bcic3hol2UkZwLO6PTarjcUzN31qItVJQWs+qFfL/zL7zwQjZv3ozUaJm/ej/zVu+r04ZXo8fmcCmZhfOQBn1DhBA9gcNSSqsQIg/IAuZIKcuCn9k8tATjoAgPjZ1SebbUfpqUUiI9/fNtQ3K6OrAvv6ikij/M+Y7n84czOSedimobiTEmbE4XEDqQ7M3cAbeRPlZWzchenbDYncxfs5+F3+3n+3lPc3LPBr9z123aQlbfPhj17s//zaPSsDqcdVYLezV6QsUuFK2Thlq/fwODhBBpuH3yi3GrdY4LV8fOhZZiHBSNT2OlVJ4LtZ8me3aM5U9ThzLvm31+T5gThnbn5lFp9Rrw4goLeq2GzzYVMGFIdyQw9+u9LN1cyEPX9Q+aueOdjV8/rDv5uRn8cPgUC9bs4/6r+/PmW+/y/QJ/DcXeV91N+sjx9Ot7EQIoOW0m2uQesLyuq5LTFmIiDGwtKOGxeRsYkt5BZfOcpzTU8LuklA4hxHXAq1LKPwshvg9nx86FlmAcFOGhMVIqz4VAT5O35KYz95t9dQKx81bvY2SvTkEzgTQCrhnUDaeULNlYwPLtR7DanfUqZl6ZnUJ+XgallVYW3HcpB45V8LcvfmBoekeu7RODqdaTbLuUCxk04/+h0Wp9ypxCgMmgY/OBYgqLK7l2aHeMei3xMUYEgswL4nhlxgi1EOs8pqGG3y6EmIQ7/dJbgEUf5PhmpbmNgyJ8nEtKZWNQ+2kyLtJA35SEeguRv7xkGy/PGBE0E8jrNhqa3oErBqT4RNNqK2ZGGHRsKSjhwffXMqpXZ64YkExUhI47Lu7F6JzRfL9pvV/bOTPfIqJ9R9//3qLrt76xApvD5dPo+WT9Qa4e3E0txGpDNNTwzwDuAp6VUh70KGy+H75unRvNbRwU4UMrBJNz0oBaM+EmWmRU+2myXZSB0kpLvU+Y+49XUG2115sJVJ9sw/P5w3hgzlqf7MLrt47k8fnr2X/sNFcOTOEXA5L5w3vrWLnkA3Z95i91deuDf+JwVJ86ffG6iCrMdgBfamhWaryqjNXGaJDhl1L+KIT4Ix55BSnlQWBWGPt1TijxqPMTr5tlw74TvpmwN13xWFkVwZRmG4vaT5NlVTbio01BnzCjjHrfZ67mbLq+JASvQZ4xthdPfbQJm8NF+xgTM6/qR2KsiaKSSqY/N4+Fz8zwaytr2Bjeeu8D0jq3Y8Ga/fUGbGviTQ09bbFhVDP9NkMokbYU4HngYqDMvUnEAl8BD0kpD4W9h2eJEo86//C6Wax2p58A2alKKzaHiwX3XRr2PtR8mvRq4ew87JZQ+Gr7EZ82Tnm1u8REsCfMUHV2J+ekExuh55KsruwoLOWr7Ue4LS+N7H59qSo+7Hd87h/mEBefRGaXeB77YB35uZlMzc2g0mInJsLAxv3FdXL1wT3QnKq00KldZCO8O4rWQqgZ/3zgVWCKR3DNq7h5I27JhWHh7d65oXyW5xe13SwVZrvPbeH+P/xB+wiDjhljMrm4bxc6toukrMpKYqyRC5Pbk5+bQXGFmfhoEzsKSyg8Wcm1Q7rXO9k4bQ6ehHCq0sKNI3py5cAUkPDxO2+QeN2Tfsf1n/x/dOg11HdOaaUFs83JI/PWkxRr4u2785DA859sqfeJJDE2Aqdyf7YpQhn+RCnl/JobPAPAh0KIp8PXLYWiLs0ZtK+dt6/Tath3tJyMLnGAYO7XdRcL1nYreq9R7rlGhEHHi/lDeW3pjjozcZNeS8d2kYwbkMxr7y/l0duv89t/wYBL6HPtPYgavvna+f2jL+zsM+j1xbzc1bgk4C7Arla5tw1C3dlNQoi/4i6Y4q2/low7u6fFpnMqzk/CGbS32B0IBKc9bkFnDcNntTtZsrGAxRsOYXO46JsSz8yr+vLfLUVYHE62Hiqpk8rpXSw4JScdm9NFhEEXcCX5tLxMXp0xglmLtrBhf7Hf6zl24iQD+vbm1KlTvu1CCF5YsJovdv68zUvN/P5bx2Zy1cBUNEJQZbEzrb6YV24mCMJaVUzR8ghVetEA3AZcg7tgisBdPGUx8JaU0toUnVSlFxVeAtWlPZegvXcWXnLaLYHgcLqoMNtpH2X0BYuFEJyqshIbYUCn9czYIwxsLyyhT3I8k19dXu9TyPz7LsVsdbBgzf56SyWO7duFC+IjueetbymusDAuO4W/3D+JHdu3+R37waLPuOoXl+FySf6zuZB5q/fVye8vqbTSLtKARgjmrPJfZDZzfBYpidF+MS8EQcsnqlXurZuzqrnbUlCGX1ETn9ulhgE7m3qugernenPbH5u3gX7dEpick8ZLi7dxz5V9mb/GXdzcpNfSMS6Ci7O6MCKzE1Nf/6reNt76VS7to41MCjI4vH/PxSxcd4DrhnRn/gdzufP2W/2O+fVvf8eUXz/MW8t3+Qqu5+emo9NoKK4wExtpZGtBCR+t2YfZ5uS2i3vx/cGSgKt+J+ekcdPInpj0Pz/NBCuYvuC+S9WsvxVzVjV3hRA63DP+a3HP+CXuwimf4p7x24OcrlCEhXMN2oeqgCWAKaPTeeqjTbSLNPD7q/oy/9v9bNx3goeu60/flARKKy0kRJtAQI+OsRw4XrcekUmvpX20kdLK0KUSV23cyfQxversH/PQBxTFtWNrQakvt99bpeumkWm0izKy68gpvthSxNFTZgAu7BrPs/8O7Ildt+cENwzrgRW3Pz8m0sCD1/bnnVoF3b19U6vcz09CTZPew53G+SRuFw+4q2ZNw72A66bwdU3RlmgqCW2r3cmCb/czYViPkKmUvbu04/L+yRh0WrYcKuH5/GEsWHPArzDKuOwUnp86lJnvrKljOMdlp7CjqJQ+XePrDUobdRoG9enJyeJiv+39bn6EjheOAALn9i/dVMiUnHR+PHyKPsnxJCfGEGnUsftIGRX1ZAslJ0TxzOTBvO/RAwq0YKy2NLNa5X5+EuqblS2lrK1odhhYK4TYE6Y+KdoYTSWh7V0wdaS0iipL8ApYpZUWpo/JZOWPPzEkrQMzxmawYM2BeoO4j90wkOc/+R6HS2K2OhjVuzMTR/Tglc+2Y9RpAwalj29cwtbF//DbljdmLDGX/SFg32rm9sdFGtBoBJsOnOTpjzf7GfHpeRkBn0JuvbhXwNdQe1Dxola5n7+EMvynhBA3Av+WUroAhBAa3Hn8ddMKzkNUMZfwciYS2t57UWWxE2XS++5FQ++RRgi2HCrhucmDMep1QVNDE2NMJESbSOscR7XVQVZqIk6nZOO+E3Vm9lsOljAlJ51XZoykvNpGXKQBs82BXqfhtot70TEugl5d2vmyaoy2Uj56Ykqddk+dKseKjvw/rwj4XtXU4b91bC/m1FOhSyPg3vFZ/OZfq337QmkK1RxUbA6XWuV+nhPKgt2Mu07uX4UQp3Bn9bTDvXL35jD3rdlRxVzCT0MltG12J4dLqujULpLTFjt6nZaS0xY6tY9s8D06bbYxNTed+WsOkJUaH1T22CVlHZnlK7JTeCF/OG9++SPHy80cLqkiNkJfr/vkphE9efqjTVjtTiaNTuemET345WV1NXSG3/7/mHbj1RgjI4kQIqQOv9PpIis1gecWBvbje9+3yTlpLFx7EIvdSce4iHpdQOAeNCw2B6/fOpL4GJNa5X6eE6rY+iE8fnwhRALuLKCTTdCvZkcVc2kaGiKhHYt7Frp8+xGW1TCuL04bzuwVu4PeI3APLt78/OweicxatIWN+04ElD0el53CLbnpLNlQEDDwqxFw1+V9MOo02J0uqm2OoO6TZyYPIcak55FHH+PKl5/3e32dsnLJuuEPAL62rhnczW9A8spClFXZuLhvF3YUlnD5gBQqQ7iqKsw2bhrZk5tHpvmyn4Cgg0qEQcfj89fzyPXZJMaogO75TEjLJYToxc95/FII8RPwqZRyV7g715yoYi5NQ0NW4zqcrjp690a9lk7tIkPeo2WbCugUH8VFyfGcPG1Bp9VgtTspKqnykz12Sy+4Z7o6IQKWI/Red9KodG7/2youyerKzaPSgtbGHZhgZfCg7Dr7Lnl8ERqdvs7xUzxPBu0jDaR2iKFPcjyllRaSYiNwSYlOIxAaQaSxrqvKO0iYrQ5iIwx1hOHMNkfQFbxbC0rYf+w0MSYV0D3fCZXO+SAwCbcuj1fsuytuyYYPpZQtVqHzXFHFXJqGhqzG1Wo1dYxrKDlki91JyWkLY7O68PmWw7zxnx3YHC7eujvPZzCLSqr8xN6qrQ7+dXcuxRXBr1taaSHSqGPN7mNc2q9rwGNdTieLH7+KxQ/7b//vim946ZvyoH3+dP0hbrukF++v2stzC7+vtdI3g4Ljp0HiezJIToji1ot7+dJMk2IjsDtdflr/FZ7YQ6AVvKrUYtsj1Iz/NqBP7Xx9IcTLwA+0YGnmc0UVc3ET7uB2QyS0T5Sb69yHhsghx8eYkFIyLL0D4zwFTvYdK6vj268w2xFCcOPwHjgcLhJjIxpU71YI4ZtZ1zz2x8V/4fDGz/3O6zP2Bt7+x1/ol5rIX9bWv2AqPtrE0IwOvLdqb8AMIoCrB6cSG2GgX7cE2kcZuKzfz8XV/QaJMZksXn+Iuav3+bZPHpXGlJx0VWqxhRPu712oK7mAC4CCWts7e/adt6hiLk0X3A4loR0XYBAur7axvbAkaIC26GQliTEmnv5ok2/F680je9K9Q6zPt58Ua+L2S3qTlZqA2eZAp9VQdLKSCUO7s2b3MT+JZe91vcVMkhOiqLLYfZ+TUwU/suGtB+r05bf/XMUfbx7CgjUHcLoI2ucfD5cGXYDlzb65b/Z3vDx9OHl9LmDBmv31DhIXpcT73jeL3cnbK3ZTbrYxNTdDlVpsoTTF9y6U4f89sFwIsZefRdpSgDTgN43SgxZKWy/m0tTB7WCrcesbhN9evotXZoxAE8R1MTitgy8/3RtwHZregeGZHZgxJgOndGvVPLfwex66rj+FxZWkXxDHzaPSuLRfV2IjDGwrKGHu13vp1y3Bd93khCiezx/Gd7uPM3FoMnddXjdbZ+u2HbTvnEpirInDJVVs3HciaFD5xhE9ePWz7XRqFxnS1TS2bxe2F7oHiYZo+teUr/bGPwIVh1E0L031vQuV1fO5ECIDGIK/SNsGrz7/+UxbLubSkoLb9Q3CQ9I7YNRpmZKTzqRRP1fj2lpQ4luFWlzhb/yWbS5k+phMTltsSAROl4u8Pp0RAgZ0S6B31/bM/3Y/Ty7Y5Dfbenn6CH44XMpTCzah0Qhuv8S9GGre8/fyzfL/+vX3yaeepuPQCTy2tBCr/VCd1bE1g8qnKi10bBfJ1kMneWDOWqx2J0khXE1JsRGMy07hlSXbGjRItI82+hl+FaNquTTV9y7k0OFZuLW29nYhRLSUsrJRetGCaavFXJoiuH0mfsxAg7CUEheSKquDX//zG181rtpGrqbxS4o1UW21E2HQUW21E2nU0z7axLS8TKwOt5xDILdJuygDl2R15elJQyittLBl7Sp+dfV4vz5qdAbW7ypiw/6TIcsp1gwqPz1pMH2S43l84kASot2ZRfW5g9xuRhcHj1dw39X90GhC5/179flrbm8rMarWRlMllZzLM8OPuN0+ivOQcAe3z8aPWXsQttqdfLh6HxOG9cDqcFFQXHceUtP4JSdE8UL+cL7YUsRl/ZOZv+aAb11Ah1gT/7grN+BsKzkhisv6JbNgzX4+WbOTz5+8oc4xo+97h46du5BxQXue/GhzwP7Xdr1UmO3YHC4iDXp++9Zq2kUZye3TmUuyujIlJy2gO2jSqDT2/FTOw3PXExuh54X84UFTNGsWV/fSVmJUrZGmSioJlc55b327gOhG6YGiRRLO4HYoP+bknHT0Wk3QJ4Ga10i/IC5owNRr/GaOz2L+mv1kpcYzv1ZAtHvH2HpnW7de3Iv5a/bz0G0TKD+822/flHue4Ne/uos/LtjUoBTT2q6Xcdkp7D1axp2XXkhWagKVFjs6jQYnLi7r37VOQXmnS/LXz38A3NlIz3+yhZdnjAgYi8rPy+TT9Qcx6bVtLkbVWmmqpJJQM/7ngBcAR4B9mkbpgaJFEs7gdiA/pnfx0Tc/HuWW0Rnc+teVnKyw1PskUPMaby/fxYvThgcM8k4c0ZM/zPmODrEm+ndL5K+f/8CUnHQ/zZrkhChmXtU3oH5PXKSBXWu/5FfT8/3fn/adyJn5L07rtfTrlkhshL5hKaaep4+a76VLSl+AuXY6pgaINukRwPFyC39atMVPK2j/8QqqrfaAsSiTXsvVg7tx7ZDubS5G1VppqqSSUIZ/M/CJlHJT7R1CiNuDnSiESAbmAJ1wp36+KaV8TQgRj7uIezfgEDBRStkmBN9aG+EKbpfXmFnXXnwUH23C7nDx6IRsXl6ylaKSqoAZDTVn50UlVRw8UcGYi7r4grwJMSZOm20YdBqeunkwCTFGyqvtRBp1dWbl7hl9Xf0ea2UZHz1+Cx/V6n/eg3MxRMUB7ll8pcXOxBE9ef/rvUFTTK/MTkEj4PXbRhEToWfv0TIqqm0sXHcwaBZHjEnPDM9AWBuTXkuUUV9vhk5bjVG1ZpoiqSSU4Z8BlNSzr05Vl1o4gPuklJuFEDG46/d+CUwHlkspZwkhHgIeAh48gz4rmpDGNhxmm4Nok9tQdYg11atxn5+XwcvTR3Dvu26d+5oZDWabw88XGhdpIK1TO6a8thyjTuMX5I2N0NOpXST/b8pQok16qq0Ov1l5TdXKmqmWf/z9bRzb6Z/TkDXxQTpdlOO3zaTXEhtpILtHEr8YkEKF2UZ298Q6Tx9XDkxhyuh09BoN8dEGBIJeXdojJSGzOJxSMrp35za9pqStEe4BO1Q65+4g+46HOPcocNTz92khxE7cKaHXAHmew2YDK1GGv82gEYLNh04yLjuFrNT4ejXuAabkpHH3L/rw8Nz1WOxOqqxuv/iclXvI6pbgm1nX9K1b7U6/YKY7iFpOSaWFU5VWcnp39puV1zy3qKSKyQ+9zn/f8P84Dh8xkmlPvFmv4S06Wclv/rXal6UTYdAycUQat4zOoMJsI8qoZ3thCUs2FHDN4G4IARLJiXIzEQZd6CyO2Ig2vaZE0fg0RKStD3BCSlnsUej8E+7A7lNSyh8b0ogQohswAFgHdPQMCkgpjwohOtRzzp3AnQApKSp56HyhotrGW//byQv5wzDqdUH14afmZpDROc6nEW/UaXnXo8a588gp/jhxEAJYvfNog3zrLy/ZyqxbhrF4/SFuGtHT71ysp/ni2Ul+52l1eq5/5mPenTkOIYSvXxa/J5NMZnnkkb2ZOgBPfbSJpFgT//jlaH771mqOlFYDbjfXLaPT0Wo1rNjxE9cP69GgLI62vKZE0fg0JJ3z78AEz9/PAseA7cDbwLBQJwshooF/A7+XUlZ4v0ChkFK+CbwJ7mLrDTpJ0eKJjTRwosLCK59t5+7L+wSd7Z6sMNOxXQTJiVH075aITqthy6ESnpg4kL4pCVSYbUzJSWPamMygypMThnZn39FySk9bcbkkfVPjiTTquGlkT/LzMpgyaRJfLPzY75zhd79OTKcejB3QnbIqK6t+OMpFKfF+WTZbC0r4dP1BLu3Xle/21H0ALq6w+BRBvSzbXMi0MZl8/n0hH6zeR0aQjKTabhzlr1c0FqHSOZ/ALc/wK+G22NfhNvi9gK5CiMeBlVLKr+s5X4/b6M+VUi70bD4uhOjsme13Bk400mtRtAK86WrLtx8hOkIfdLbbPtrEabOd3D4XcEV/twb9s5MH14kJTM/L8PnQa7pDenaMZeb4LJITozlRXs0/7sqlymKnZ8dYnC7Jzfc/z3///rhfu33G3UGXYdf4ZQUZdBrmeYTOvO4cbwzBpNfy/j0X15FF8L6G2guoLHYnp80230Dx9vJdASUclBtHEU5C+fifFEJcC8zDnZ0zWkr5MIAQ4hIp5VP1nesZKN4CdkopX66xazHuYu2zPL8/PbeXoGhN1ExX23n4VNDFRzsKS8jukcRlWckY9FqMThfvfe2vWpkUa2J4ZiccLrcbZXJOGtPyMimvshIbaWB2gEVieT0i6JXew6+9hOR0/r10OdlpnSittNAxLoIfik7xymdbue3i3r7BqaY7B3425LVlEbyvofYCKpNeS0yEgQPH3PVwa9cF8LbtcLmU0VeEjYa4ep4CvgbseMotevz+oSpxjQSmAtuFEF5H7iO4Df4CIcRtQCHu+r2KRqS56wSHat/rr9YKQd+UeCCwYNmXWw/Tv3siEUb3uTqthtU7j5KaFE1Zlc23cnXBmv1+xn1aXgaX9Utmdq1FYmarjUd+NYXSA/5xhZG/+wdRiV147pNtxEbs9GUBzVr0PUKIkPGDhBgTIzM7cbzsYEChuJpcOTAFp9PFwxMG8NfPf6CopMqvLkCndpG8MG04X249zC8GpLTKKm/N/flThEbIVpAKNmjQILlx48bm7karwGp38u6K3c1WJ/hs2q+yuPXwT1aYaR9tYnthCUUnK7l2SHe/c8qrbWiE8PnYq6x2Nh88ybtf7faTTo6LNPDub8Zw8yv/8xnrI5u/4IdPXvdrd8b9z3Aktn+d/kwY2p2LUuJ56iP38pUnJg5kW0FpQD/8hKHdGZregSqrg6zUBN8aApdL8p/vC5n3zb46g8Fj8zb4KX3WXJB1/dDuDOyZxFMfbWLBfZe2ull/c3/+FP4IITZJKeuk3qth+DyiuesEn237USY9ZpuDTu0iqbDYGNgjiQHdEv0MhVeXp7ZByc/LILd3Z7YcKuGdr3ZRVFJFuygDxRXu4i3VJT+x+rU7/dqL79GPTWtW0T7GxPxv99dJkZw0Ko0H31sHuGf0RcWVTB+TGTA3/4bhPxvvmv7/uEgDL04bztWDu3Gq0uoreOI9dv/xCgTwy8su5J//24nZ6iDnws7cONy90ri2IFdrmEU39+dP0XDUXTiPaG4p5XNp32sQEgNkrAQzKABZqfFsLyz1yR6XVdmIMWpZ9/ffU/6Tf+3c0fe9Q7vETiTERvJ/H6xnam4G+XmZlHqqUe3+6RT7jpXz4rThVFntRBl1bCss5avth5mck8bU3AwqzXZiIvQ4XZL7a8zYa/r/bQ4XJoMOh9PFcwu/53hZdZ0YwFJPhs+sW4YQZTRgszt5Z4V78KqZytlUBXHOleb+/CkajjL85xHNXSc4XO0HMyhexcuXl2zzyR7fNvP/SLj/Mr/jsiY+RKeLRgFuP/vJCjMHT5zmkXnryUqJ5zfjLkKv05CcEE20SU+F2UaMSU9xhYU+XePZUViCQavl3+sO8u2uYxh0gv+7YSD9uiVw4HhFnX6Ny07BandSXm1l79HANXaTYk2YbQ4ijQaOl5tJjDExfUwvKi0O0jvH4ZKy3kFv+fYjxEcbuWpQaouZRTf350/RcBr8iRFCaIGONc+RUgb+NiqaheauExwbaSAp1kSkUVenZOG5tB/KoHgVLz9YuopVr9/tt3/g6Mu54Bf3YHW4/KSNtVrBvN9fzMnTP+fk/2XZDp68eRA2h4tP1h/ySTZ7C6n0757IzsOl7D1aTlykAYNO61sIVjs47U0DjY8KHBj2SkTP/3Z/nZn8vVf3o8piR+NZ81Jz0KutbaQRArPN0SKMf3N//hQNp0GfFiHEb4EngOP8XGtXAllh6pfiLGjuOsF2p4s378qluMJMfLSJbQU/+93Ppf1QBiVCK5n7yE1Un/JfRLVy8y4u6NSJTu0i/RZdzXxnDYPTOtC/WwJvfbXLr3iL1e5kfgAZiUXrDqIRcGV2Kuv2FlNebWNrQQmFxZUBF3Z9sbWIqwamcvK0JeACLa/Uc7BauR+u3sdDEwb4CdrVp23UEtw+zf35UzSchk4T7gEypZT1CbYpWgDhknRtSGDRancy9+u9frPXK7JT3IVPthbVydA5E4IZFOeOxXRMuMJv28v/mkeBSCG7V4+Awm2AryRjzW0dYk1EGvUsC+KnnjTKXUhFCMHn3xcy86p+LFizn7/99wcijTqqrQ7GD0rlqoGp6LQaYiL0dQLDXonoYHIVk3PSefurXcRG/Dzo3Xpxr3q1jVpC8LSt16luTTT0U1IEBHZUKloUja3p0pDAYn1+aO8seXJO+hm1X3ugEVDHoFQf3cPqv/nXCcoZN5EXXnmdx+dvJDXJUa9wm7d/tYuiXD24m59kdG0sdidlVVYevT6bnp3iKK20YNBpuGZwKtPHuN/vuAj3wFhz4Zh3BXF+XibF5Wbio40h2ymttKDVCJ+g3Ffbj/hURAPRUoKnSlOoddBQw38AWCmEWAr41p/XWpGraCE0lqZLQ9PzGjObwzvQfLPzKJFGHWarg1G9OzNjTCZTczOYMPACenRP5XTFzwFVjU7Pi/O/Ztpl/XlgzlriIg3EmPQknGFRlMv6dUWn1QQvdB4XwfLtR3h8/ka/J5vpYzJJio0I+J7tP17Bb/61msmj0shKTeCP8zfw6q2jGtQ3r6RDQrSRUyGqe7WU4KnSFGr5NNTwF3p+DJ4fRRugoQa9sbI5zDYHi9cfom+qv898W0EJi9YfZNW8V/nbX9/wO+fjJZ9z5eWXYLM7Wb3zKLdf0ps+yfGUVlrQaQV/vm0kryzZxs4jZX7nXTnQXRTlr3fmEBNhwOF0Ul5tJzbCENRPXXSykg9W/5wiWvPJZmpuht975q0q5g10L1x3kBtH9MTqcLHnaFnQdvb8VOZLD/3z0h3cd3U/9Lrgg5IKnioaSoMMv5TyyXB3RNHyCGXQS05bSIwxNVo2h1YITxH0/X7By24c4fWHXmHw4AAAIABJREFU/Qu+dRt1A4OuuYM1J6O53OHi5SXb+MO1/Xh/1V5mr9zD1Nx04qNN6LQaZk0dxo9Fpfz18x8ornAHWyfnpHPytAWjTsvU15YD+LT0n5joXuhYR4I5N5OZ767x60fNkpHT8zIpr7bRIdZUp6qYN9BdabHz5l2jsTtcZHSOC9jOpFFpvhTQ5IQo7r06i7nf7PWrQVCbKwemYHc2j75Pa1hcpvAnlDrnq1LK3wshluDO4vFDSnl12HqmaFZqV7mqjVds7INv93H9sB6Nks1htjv9Ml1s1RV8MWuy3zHGmHhG3vMmOoOJCrOdHUWn2FZYwpTR6by3aq+vilagzJc/3z4KDXC0rBqdRvDKkm08PWkIVofLLw5QUzTNYnMQYdRRXGGmymr35ewHKhlp9lT0eiF/eJ3ByxvoNhm02OxOdDoN989eyy2j0+tkBD343jr+NHUYSbEmHrpuAPO+2cfCdQfZUKNCWB1to+E9WbqxgGuHnn0Q/WxoLYvLFP6EGpbf8/x+MdwdUbQcvF/mYDNMr/LkwrUHmTQy7ZyyObwzRpNey7LNhUgp2fHvlzi6baXfcWvWreflr0/VCdQu+HY/s6YOY9nmQh66rn/Qql63jE4nMTYCjRAcOHE6YI3copIqXlu6nSk5aYy5qAtajSApxuTz/wcrGTktL4P/bikKmA4qgKsHp7J4QwE3jezJgeMVPnE2b9aREIJ2UQYsdgdv352H5Oc8fq+S59OTBjM1N8OXNru1oIQ/zPmOopIqys22JsvuURINrZdQssybPL9XNU13FM2N98u8fPsRjpRWcd/4rDoaNTWVJy12J+We8oBnk83hHWS2F5by2PXZFG1bzZYPnvU7Jv3S6XTPuYG0XhfRcdsmKsz+CWbVNgcnys2Y9NqgmS/LNheSn5fBgm/3c8Nw91NKbT38pFgTt1/Sm6zUBCotdgx6LUdKKnlx8Tam5qaHLBkpBD7F0UDtTxmdzjc7jzJ9TCaJsSZOVlioMNuJizQwc3yW7wkiNsKAU0rMVoffE1eF2U60ycAdf19FlFHnl44KP8derHZn2F0vSqKh9aKG4zDT2vyfWiHI6pbgcz9otRomj0pjiscn7p1hesXGavrwzzSbo+aMMTnSQef4KL/9UR1SGH7Xa2h0el87g3sm1ZFAKKuykRhjokNchC+FMxDuql4Wvt19DJNByzTPU8pj8zYwbUwGU3PTEUKwZGMBf/nPDoorLD43zbOTB/PRmv3k57qNWbC0Sm+uf6AU0pLTFiKNOk5VWbl6cDfeXr4r6MKsaWMy6dEx1udi8tYIPllhCaiL7m3juYXfs/doeVhdL0qiofXSci3QeUBr9H86pWTroRL+38Lv/fo8OSeNt5bvZOfhMj+DNi47BcdZBhU1QvDZxkP8+OHTfPHjOr99I3/7N6KSkn3/XznQ3c5No9KwOpx+TyCXZHVBSsngnkkhtfPbRRlxuiSrdx7juiHdyc/NYEqORKfVeK6nIad3Z8Zlp7DVo/jpzdq5ZXQGm/cXk94lLqjBO1VrfUDN9uOjTVRbHUSb9FyW1YWySiv9uiUEfYK4d3wWv/nXasA9yIV6jTERBo6XVde5TmO7XpREQ+vljD4FQogoKWVV6CMVrdH/6e1z/StDM7l/9ncAfi4fq8NJFPozbu9fb7/LZ4/6Z+u8+OrrRPe+uE4Zwvy8TI6dqubHI6e4YXhPJo1yP5EkRJvY/VMZry7dxq8u78OxsuqgcYlKi41XZ4yktNLiy1b4bGOBL5uotj7P8/nDeHnxNrJSE9BpNXTvGEO7SGNQg5cYG+FXbrFm+9sKSsjp3ZkfikpZuqmQa4ak0ic5gec8Bdtr43WZTM5JY+Hag5RX2/ihqDRodo83FTTQdRoTJdHQemmoVs8I4F9ANJAihOgH/FJKeXfwM9surdH/GarP+bkZfHjvJZwo/zmo+Ni8DbwyY0TIa9d0eZ08dpgLe2X47Y/vdhEDpz/LTn0sM2pp32gELN92mNEXXsC8r/eS06szd735NVFGHU6nC61WQ1mVjQfmrOXXV/QJqJ3vDbx+sv6Qr37uM5MGs/nASfqmxgfUzfEGZB+4tj/zVu/juYXf079bPA9cOyDo4OKSkkv7da3T/sQRPfluzzEmjUpDoxF0ahdJYoyJskpryLTZfqkJTBjag1OVFpLiIujfLSHga5w0Kg2nS5KcEOVX4CUcrhcl0dB6aeiU8xXgctz1cpFSbhVCjA5br84DWqP/M3Sf7by9fBcHTlT4gorXD+secmbndXkt2XCQ1X+/j/LDu/32r93yI48vPgDgV4bQm+ny1ztz2HKohItS4imusLC9sITxA1NJSYqukyu/50g5GiEYnNaBW0ZnUGWxE2nUUWG28cn6Q7yzYjfJCVHceVlv+qYm8NrS7UzOSQ8aEJ6am8HybYex2p1cNbAbSzcWMHFEj4Bplbfkugu+3zzSXfu3rMpGXJSBaqsdo17DmIu6+Ln/OsSa+MdduSFdN/e8/S2A7z15IX84Yy7q4nvyqS1AN2NsL18FMe91wuF6URINrZMG+xqklEXCIxPrIbCFUACt0/8Zqs/RJj07ikp9Qc/rh3UPObPzuo9eff11di39h9++2x76E689MROXBKO+oE72SoXZ7jN8VpvDJ8GwbFMhj92Qzbsr99TJlZ+el8EzH29mw/5iYiP03DiiJ+MGJBMTYWDe6n2+QOqX247QMS6SSKMuZEC45LTbZy+EoHfX9jzz7818ue2wX4H0eE/JSI0QWGxOIo06XFLSPsrAQo+G/y256Xx/sMTvSeFEhYUth06GTJv1um68GUAJMaaQAnQ1A8zhdL0oiYbWR4NF2jzuHimEMAC/A3aGr1utn5r+z9pL91uq/7MhPtv/396Zh1dVXgv/t3LICCQiBFQEgswqiIyCyKhf1VqcRXFAL9aLrRUVb68+X+21PtorpehtrcO1TlgURdHW2orwIY6gEFAmQWYJSCGEIYQknAzr+2PvE845OVOGk5Nh/Z4nT7Lfs/e71977ZL3vXu8aXvzZ2BrN7DZ9+y3TfnROQNtpZ43g0p//llJvBR5PEusjKD5fcfKpF/bD4xFmTxlBYYmXV0KsRfhMM5cM6srKbfkUlpTx2qdb+MmQbhwtKQvIcPnRuj1cem5Xio+Xh10szcpIoVNWOh0ynbw57dqkVg0Sod5MCkvK+Mvd4/nTB+tZs7OgyiunT+csLhviZOt8bEF1W/5LSzYx65YREUs7+uPz7ImUgM63wOwtrzTTi1GNWBX/NOAPQGdgN7AI+Hm8hGoOpKe04rZxfZjQvzOd/PLB/+twMd06tCGlEf4TxmqzjWVmV1payoABA9iyZUtA+3ufrWHs4H5V9+N4WQWrtuVz/aie1Uwnvvq397/6Jdv3FZKW7OGGUT25cnh3fjN/Vcjz+lIa+2a7pWUVFBQ6dvHszLQqP//jZRWs21XAqH6nVgvi8o/KLSzxIiLcP/Ec5n2xtdog4V9uMS3ZQ0ZqKzbuPhSwKH5Wl5PZsf8IHdqmh3yzyCs4xn+8upzf3TKCyRf0ouBoKZ1OyqCiojKgtKOPWDx7Op6Uwa+vGUx2VrqZXoxqxJqr5wBwY5xlaXYosGTdnpDunI2V1GQPky/oxRQ370xWRkqNc8A8+uijPPTQQwFtF017jDdm3cf8Zdu58Q9LAu7HzWN689QH6/nROV248YJeFBSV0jErnbyCIu59eRl5BceqlPE53dpz+FjkxVD/dMtpyR6yWqdSWlbBxKE5AWadl5Zs4vdTRvDhN3lVlbTW7Czg0clDq/nUXzKoK7++djBb/3U4ollmzc6CagFVky/ohQCeCJk/8wtLSU/x8OhbqygsKeP3U0aQlCQMDFHa8Uixl32Hi8O+nV06qCtrdhxg14EipzRjauPyHjMST6xePXOA6ap62N1uB8xW1X+Lp3BNmabozgknCqp8unEvrd3CIhf0OzWm2IOVK1cybNiwgLabp0xh5A3/wYAovup3X9qfgqOlABwt8dIxK53753zJ8bKKgACnZxZu4Nk7RseU0hgcJbh+VwGDz8jm8qE5VLizX5+55uH5uTx6/VBEhGtH9uCm0b2Y++mWsGakIT2ymTSyB0k4qRRCRTP7U1pWwdESLxmprfjhUGRX090Fx5hx+TksXrO7KtAv3BtY1w5tQn7m8x6qa/Ebo3kTq+YZ4FP6AKp6SETOjZNMzYKm6M4ZPFj5IkOjDVZFRUXk5ORQUHCiQJvH4yE/P5927dpxvKyCikqNGu16/5zleMsruXRQV3qckkXHzDTyCo5VqzwVKr+OD99iqLe8kquGd+fakWeweM1uBnbvQHpKK4pKywJmyht3H2btroNs/uEIa78v4JHrh0Ys7D5lXB+SgMmje3LTmN4cOOq8nazenl8VzeyPbyACeOLva3ls8tCIKTAcb6ReVfc5nNeMz1RY9ZkbGV5aVk56cismDskxpW+EJSnW/dxZPgAicjIW9RuRWNw5GxvRBqukQK8uAGbMmEHbtm0DlP7SpUspLy+nXTvnK5Oa7KGotCwm84zvLeAvn2xm6oS+ZGWk0L9r+4ByiC8t2cR1I8/gquHdSXOVm7+XUfeObZk7fQL9u53M4jW7uWJY9ypF2ibNKYV4+4S+dMx0FPLcT7Zw9XndGdG7EwVHI3v4HC3xkpLsIdnj4afPfcKjb69i7fcHWPv9wWpKH04sih8p9lYlZZs8qidzp0/g+WmjmTt9Amd1Pblq0Pjn6l208iRxoLCE42UVVYXUU5M9ZGemk5rsCTDdVH2W5XyWlZFKStA+hhFMrN+O2cAyEXnb3b4WeCzC/i2epujOWZPYg48//phx48YF7HPfffcxe/bskMdnRbkf/uYZcAaam0b35vT2rau5W/qyVPrcKUu85WRlODNhUDq0TaOw1MvgM7I5N6dDwMzXF0g25qzTmDg0h9KyCtKTPVSqctmQbiSJxPTcCou9Vflynl+0MWS6ZP9FcV+/xcfLKSg6zv1zlldzw/Td532Hi3l0wWr2HS5p9Ck+jKZJrIu7r4pILjAeEOAqVf02rpI1cRIdzl6b5HCZGSlkZ6aRkdqqyvXUh0/pHTp0iPbt26N+8nfo0IEdO3bQpk2bsH1Huh/BvurgKMBjx8sYc+apIT1YfO6U2ZlpvPSzsdW8pDoEeR6VestBJGzupDT33pR4y2N6bm39BrLggehQkeOV4+9N47v+Jev2ON5M5ZV8n19U7RxpyR7auYNgvNaEmlriQKP+iVaIJVNVC13Tzr+A1/0+O1lVD8ZbwKZKIsPZa5scrqyikuenjanK8+6rGpVXcIxLB3Xhpz+dyl/mzAk4ZsWKFQwdOjSqTOkprZjiejMFR7tOcYOu/PEFbp3SLgMgrDIefeapVMQQOZxXcIwl6/ZEyEPkKNZYn1tFRWXAOoO/X/+1I3vw40FdaZ12In+Rf7+Rcu2EGgTrc02oKSYONOqfaMP868BlwCoCK3CJu31GuANF5CX32P2qerbbdjLwJpAD7ASuU9VDtZS90ZOIcPbaehP5vHn+EZSkbNYtI/jvZ+Yw7UeXBez/yCOPVHPZjCbXeyt2cnZQHp413xfwtxU7q4KufPgCtx5b8DXdO7bhN5OcwSWcKSXSeed/sY2rzjsjYJ3An2DFGstzKy0rD5m24cIBp3PhgM6UllUEKH5fv7eM7U0Swjlhcu2E8wyqjxQfTdXTzKh/ohViuUycPA1jVDX0f014XgH+BLzq1/YAsERVHxeRB9zt/6xhv02Khg5nr403UTiF8Mb/W82dPzorYN9evXqzctVqvJVJHC+riNlMkCTCa25ytOBo17RkD3OnTyAzPTkg0lT9zEP3z1kekCIhOzOdSo0+iCaJsHJbPmPPPq1GuZOiPbc2aSnc8/KykKUTfYnrfAuzvnucJMLR4jIyM1Icz6CgeImDRaU88d7akJ5B9bEm1BQ9zYz4EPU/VlVVRN4FBtekY1X9VERygpovB8a6f88BPqaZK/6GpjbJ4YIVgqryzbzHyN8UOPNc/fUaVuxvxc1Pf1ZjM4G/XP7Rrj65SsvK+d9po2mdmhwwu/Y3u/hs+pcPzWHi0BwykqMPOIXF3qpsovW52F5WUck5Oe1Dpm24anh3N2WC4zUUbF7p0SmTmTcP5/XPtgbES4zqdyr3TRxQzS20vtaEmmLiQCM+xPpe96WIDFXVlXU8XydV3QugqntFpGMd+zOCqI03kb9C2Lv2E9a9PSvg8/+eNZvpd99dJzNBLHKFGjzqai5zfNsrIvr+10axtklL5rZxfUhP9vDOVzv4Pr+ItGQPVw3vXrVmMf2y/rTR5Gr37aYxvXjts61VsvjiJXxBYlMn9OXh+avqfU2oKXqaGfEhVsU/DpgmIjuBY7g2flUdEC/BROQO4A6Arl27xus0jZbael7UxpsoMyOFiqIDLPndrQHtWaf34YJps7l3+sUAdTIT1MXLqS7mMt95g2vrBhd5QTXmOrW+Z3Ok2Muk83tw9YgzOO7a9A8WlfLo26tZt+tglSL1v2++uIRIaaBvHdeH1+4ZT9u0+l0TSrSnmdF4iFXxX1JP59snIqe6s/1Tgf3hdlTV54HnAYYMGdKivpF18byoqTdRRUUFE8aP5YvPPw9oH3XPC2ScfAo/GdYdRTlaHDkAK5qZoC5eTrUZBH3HlBwvZ8pYp+jLr15fyY2uTf5oiZeT26ax9+AxKisreWvZdlZuy2f/ESdwKtz9DvVsLnELoDwyP5dV2535+9Xnhb5v/pk1I97LzPo3uVjhFMNHNHfONJzMnD2BdcCLqlpeh/O9B0wBHnd//60OfTVL6sPzIlbzyHPPPcedd94Z0HbutTPI7j+umkKQjPCBTR0z08iKwUwQSq7yikqOlTr2/lAKvTaDYPAxI3t3YsbEAdw8pjcHCksQYP+REr7aso9Lzu1KeaVy3fk9GNf/NNq1PuHGGny/wz0bn4nmx4O7sSHvUMT7FktmzbqYXKINklY4xYDoM/45QBnwGc6s/0xgeiwdi8g8nIXcDiKyG/gvHIU/X0SmArtwIoANP+rL8yKSeWTTpk3069cvoO2SSy7hrXf+SiuPJ6RCCGUm8GXMHJjTgcOuZ0q02bjvsyxSmPf5VhZ8tSOsQq/NIBjqmGWb95H38jIevGoQXdq3prDUS+/TTkJRx3vpi9C1dn/1+kqmjD2RpiLSs/Hl8Zk/46KI9+1Isbfe1xt8xDpIWuEUI5riP1NV+wOIyIvAilg7VtUbwnw0IdY+WiLx9Lzwer0MGjSIDRs2BLTv2bOH0047rWo7VP/BZoLszDRm3TKCN5dtC0hfHItJKlaFXptBMNwxeQXHuO+VZbx+zwQ+WvcDby3bxr0/GcAbX4SvtXvj6F4B9zvaszkawkQTyrwy95MtzLx5eMjCK7U1uZiPvlETon0TqnzuVLU8qPSiEQfi5Xkxc+ZMHnjggYC2d999lyuuuCKm40u85XhEmOTWki0tq+CNz7dGjYQNRawKvTaDYKRjUpM9eDxJzP10C2nJnqiLrJMv6EVKqxN5DGv7bEKZV1S1Xk0u5qNv1IRo2TnPEZFC9+coMMD3t4gURjnWqAU+00AoamMGWL16NSISoPRvuukmKisrY1b6PhPCNbMXc93sxdzz8hcke5JqlMmzxFvO8bIKDh4t5UgY5ZyVkUKnk9I5WurkCPIp2lCEU7SRjumUlV41MMSyyHq0xIv6BazX5tn4rrvIjVtom55MarIHxVHWR0u8ZKW7JrJaZtT0llVwIEpW0caYDdZIHNEid23Fp4GJ1fMi2iJecXExPXv2ZO/evQH9HzhwgPbt28csTygTQkWlku+mDQ5F8Gzc3/acluzhxZ+NDZg5+5c6PFhUStu0FEq85c6CaQ3dDyO5LA7tmV2VJTSWRdb2bdOq2cZr4hUTyuY+eVRPLh/evd7y5finpDAffSNWzOjXCInmeRFtEe/BBx/k8ccfD+hz8eLFXHjhhTWWJZQJoSaeKcEDh6/WrW9x07+6Vqi1gttq6H4YSTlPOr9nwMBQm0XWWL1iwtncu2S34ZWl39XKRBaKJBEWfLWDXqdlxWXB2GiemOJvpITzvIi0iLd1/Sp+P+OWgP3vuusunnrqqVrLEcpmXhPPlFADh38w1TlRSjLePKZ3jW3h0ZSzb2CY+8kWHp08NGIe/VDE4hUT6rqjBW/Vxhbvez6RAtTMR98IxhR/EyOUQikrKeKTWTezqPxE/pvMzEzy8vLIzMys0/nCLWi+tGQTs24ZEdUzJdTA4ctf/9OL+jEwpwO/fefrkOf2KUJfXzXxZoo0cPovUh8rLeOm0b24dVz9+rWHuu6Yg7dqcJ2+5xNcE8CXNC5JMKVvVMMUfxMjWKF8+96f2J27MGCfZcuWMWLEiHo5XzibeV7BMRatyavKMBlOaYYbOPIKjjH3ky1075jZYInDgk1k2ZlpTByaw+VDnfq09enXHuq64xG85f98/GsCtGuTyvl9T+G6kT3qfC1G8yPWmrtGI8GnUPI357Lo15cFKP3e4ydT6i2vN6UPJ2zmV59Xvb7tFcO60yYtOWw9WIjsCeO/2BqK+lyULPGW88rS73jHDRgDyC8s5cUlm5jz8XeUeMur9jteVkH+kRM1b2tDqOv2N5GFoja2+FDPx1teyZAe2Vx/fk/z3TdCYt+KJsa/9u3j7w8Gpk5KO6kT5//iGa67oG9cFvHqEuZfk8XWYOpzUTKan/utY/vUa3WqcNedd6CIW8f1qdfgLUvDYNQU0Saw2j9kyBDNzc1NtBgJRVWZNGkSb731VkD7iJ89RXaXno1+Ea/K/dRPMfneDo6XVTDn4++qKcKbx/TGI0JFDZKyhXNvzT9Swk1//Cjs8fNnXMQbn28NOQBdfV73Wke+hrvuSPfDMOoLEVmlqkOC2+2b1gSYP38+kyZNCmib+btZTL/n3iYzw4vkCRM8Y22dmsw3Ow/wixc+J7+wtMZJ2ULN1CNF3XbMTCMt2ROXyNdw1235coxEYoq/EZOXl1etFsHgwYNZvnw5yclOPdfmojjSU5xZ8NL1Th4d/wpdNU3KFsovPpJJaeLQnLDRxL7+rDqV0Zywxd1GSEVFBRMmTKim9Ddv3kxubm6V0m9uJIkw99MtAUrfR6g0EL5jYkkdEWmReuLQnAZbZDaMxoDN+BsZL774IrfffntA2wsvvMDUqVMTJFHDUd9J2YKPibQIWuItt+pURovBFH8jYcuWLfTu3Tug7aKLLmLhwoUkJbWMF7PaZL+s6TGRbO5WncpoKZjiTzBer5fhw4fzzTeBYfy7du2iS5cuCZIqMdTGtbM+3UHNLdJoKbSMqWQj5YknniA1NTVA6c+fPx9VbXFKHyLb4aeM7RPSnbI2x0STIVJAmmE0B8yPPwGsWbOGgQMHBrRNmjSJefPmYcVuIvv81+cxhtHcMT/+RkBJSQl9+/Zl165AL5T9+/eTnZ2dIKkaH7XxcTe/eMOIHTP1NBAPPfQQGRkZAUr/gw8+QFVN6RuG0aDYjD/OLF++nJEjRwa0TZs2jWeffTZBEhmG0dIxxR8nCgsL6dy5M0VFRVVt6enp7N27l6ysrARKZhhGS8dMPXHgrrvuIisrK0Dpf/bZZxQXF5vSNwwj4Zjir0cWL16MiPD0009XtT344IOoKqNGjUqgZIZhGCcwU089cODAgWoLtJ07d2bz5s1kZGQkSCrDMIzQ2Iy/DqgqkydPrqb0V69eze7du03pG4bRKDHFX0veeecdkpKSmDdvXlXbzJkzUVXOPffcBEpmGIYRGTP11JA9e/Zw+umnB7T179+f3NxcUlIsda9hGI0fm/HHSGVlJRdffHE1pb9x40bWrl1rSt8wjCZDQhS/iFwsIt+JyFYReSARMtSEOXPm4PF4+PDDD6vann32WVSVvn37JlAywzCMmtPgph4R8QBPAxcBu4GVIvKeqn7b0LJEY9u2bfTs2TOgbcyYMSxZsgSPx1L1GobRNEmEjX8YsFVVtwOIyBvA5UCjUfxlZWWMGjWKFStWBLTv3LmTbt26JUgqwzCM+iERpp7OQJ7f9m63LQARuUNEckUkNz8/v8GE++Mf/0hKSkqA0p83bx6qakrfMIxmQSJm/KESzlcrCqCqzwPPg5OPP95CrV+/nv79+we0XXnllSxYsMBy5BuG0axIhOLfDfiXlzod+CEBcgBQWlrK2WefzbZt2wLa9+7dyymnnJIgqQzDMOJHIkw9K4FeItJdRFKA64H3EiAHjzzyCOnp6QFK//3330dVTekbhtFsafAZv6qWi8hdwIeAB3hJVTc0pAxfffUV5513XkDb1KlT+fOf/2xmHcMwmj0JidxV1X8C/2zo8xYVFdG1a1cOHTpU1ebxeMjPz6ddu3YNLY5hGEZCaDGRu/fddx9t27YNUPpLly6lvLzclL5hGC2KZq/4ly5diojw5JNPVrXNmDEDVWXs2LGJE8wwDCNBNOskbfv372f8+PFV29nZ2Wzfvp02bdokUCrDMIzE0qxn/GlpaQwePBiAFStWsH//flP6hmG0eJr1jD8zM5Pc3NxEi2EYhtGoaNYzfsMwDKM6pvgNwzBaGKb4DcMwWhim+A3DMFoYpvgNwzBaGKb4DcMwWhim+A3DMFoYpvgNwzBaGKIa9+JWdUZE8oHvEy1HFDoABxItRANg19m8sOtsXgRfZzdVzQ7eqUko/qaAiOSq6pBEyxFv7DqbF3adzYtYr9NMPYZhGC0MU/yGYRgtDFP89cfziRaggbDrbF7YdTYvYrpOs/EbhmG0MGzGbxiG0cIwxW8YhtHCMMVfT4iIR0S+FpH3Ey1LvBCRnSKyTkS+EZFmW+FGRE4SkbdFZJOIbBSREYmWqb4RkT7uc/T9FIrIPYmWKx6IyL0iskFE1ovIPBFJS7RM8UBEprvXuCHas2zWFbgamOnARiAz0YLEmXGq2twDYf4ALFTVa0QkBchItECu5QWXAAAIIklEQVT1jap+BwwEZ9IC7AHeTahQcUBEOgN3A2eqaomIzAeuB15JqGD1jIicDfwUGAZ4gYUi8g9V3RJqf5vx1wMicjrwY+CFRMti1A0RyQRGAy8CqKpXVQ8nVqq4MwHYpqqNPTq+trQC0kWkFc4g/kOC5YkH/YAvVbVYVcuBT4Arw+1sir9++B/gl0BlogWJMwosEpFVInJHooWJE2cA+cDLrunuBRFpnWih4sz1wLxECxEPVHUP8HtgF7AXOKKqixIrVVxYD4wWkfYikgFcCnQJt7Mp/joiIpcB+1V1VaJlaQDOV9VBwCXAz0VkdKIFigOtgEHAs6p6LnAMeCCxIsUP15Q1EXgr0bLEAxFpB1wOdAdOA1qLyE2Jlar+UdWNwExgMbAQWAOUh9vfFH/dOR+YKCI7gTeA8SIyN7EixQdV/cH9vR/HHjwssRLFhd3AblX9yt1+G2cgaK5cAqxW1X2JFiROXAjsUNV8VS0D3gFGJlimuKCqL6rqIFUdDRwEQtr3wRR/nVHVB1X1dFXNwXll/khVm92MQkRai0hb39/A/8F5vWxWqOq/gDwR6eM2TQC+TaBI8eYGmqmZx2UXcJ6IZIiI4DzPjQmWKS6ISEf3d1fgKiI8V/PqMWKlE/Cu879DK+B1VV2YWJHixi+A11wzyHbgtgTLExdcW/BFwL8nWpZ4oapficjbwGoc08fXNN/0DQtEpD1QBvxcVQ+F29FSNhiGYbQwzNRjGIbRwjDFbxiG0cIwxW8YhtHCMMVvGIbRwjDFbxiG0cIwxW8EICJXioiKSN9Ey5JIRKSogc4zT0TWisi9DXG+miIiD4vIHhF5xN2+VUTy3Yyem/zldvdVEenp13av2zbE3V4qIkW+bSMxmOI3grkB+BwnGK3OuJkfWxRuMrBY9jsFGKmqA1T1ybr2F0eeVNVf+22/qaoDcaLW/6+I+OeEWUfgd+ca/ALgVHUc0GxTejcVTPEbVYhIG5x/5qn4/fOKyJsicqnf9isicrVbg2CWiKx0Z63/7n4+1p3ZvY6jCBCRv7rJ3Tb4J3gTkakisllEPhaRP4vIn9z2bBFZ4Pa9UkTODyHvrSLyjogsFJEtIvI7v8+K/P6+RkRe8ZP9WVe+7SIyRkRecvPuvxLU/2wRWS0iS0Qk223r4Z5vlYh85nszcvt9QkSW4uRM8e8nTUReFqeWwdciMs79aBHQ0Z09XxB0TEB/InKyew/XisiXIjLA3S9c+8MiMkdEFolTR+EqEfmdK8NCEUl293tcRL51j/99uO9GKFS1ANgKnOrX/Fec3DiIyBnAEZykd0YjItEzCaNxcQVOHvrNInJQRAap6mqcHESTgH+60awTgDtxBogjqjpURFKBL0TEl/lwGHC2qu5wt/9NVQ+KSDqwUkQWAKnAQzi5cI4CH+EklwInJ/6Tqvq5OCHoH+Kkng1mIHAucBz4TkSeUtW8KNfZDhiPk5zs7ziD3e2uXANV9RugNU4Omxki8mvgv4C7cKI+p6nqFhEZDjzj9gXQG7hQVSuCzvdzAFXt7w4Ui0Skt3v+993Zcyiq+hORp4CvVfUKERkPvOpe+2/CtAP0AMYBZwLLgatV9Zci8i7wYxH5FCd1b19VVRE5Kcp9C8B9LmnAWr/mQpyUF2fjDABv0kwjn5syNuM3/LkBR8nj/r7B/fsDnORzqThJvT5V1RKcfD23iMg3wFdAe6CXe8wKP6UPcLeIrAG+xEkX2wtncPhEVQ+6CbT8M0ReCPzJ7fs9IFPcXEFBLFHVI6paimNS6BbDdf5dnZD1dcA+VV2nqpXABiDH3acSR2kBzAVGuW9EI4G3XLn+l8DZ7lshlD7AKOAvAKq6CfgeR6lHw78//z4+AtqLSFaEdoAP3Pu6DvDgZG3E3c7BUdKlwAsichVQHINMAJNEZANOOos/uPfenzdw3hivoBkWd2kO2IzfAECcHB/jgbNFRHEUhYrIL1W1VEQ+Bn6EM/P3JX8S4Beq+mFQX2Nx0hn7b18IjFDVYrevNPf4cCS5+5dEEf24398VnPhO++ciCS615zumMuj4SsL/T6gr0+EIM/RjYdojXWck/PsL1YdGaAf32lS1UkTK9ER+lkqglaqWi8gwnDe463HeaMZX6606b6rqXeKUpPyHiHzgJrfz8XdgFpCrqoUitb18I17YjN/wcQ3wqqp2U9UcVe0C7MCZUYIzi7sNuADH7IL7+04/e3FvCV20JAs45Cr9vsB5bvsKYIyItBNnAfNqv2MW4Sgi3L7DKdtw7BORfiKSRIRKRBFIwrknAJOBz1W1ENghIte6MomInBNDX58CN7rH9Aa6At/VUB7/PsYCB1x5wrVHxX2DyVLVfwL3cMJEFBOquhznbWN6UHsJ8J/AYzXpz2g4bMZv+LgBeDyobQGO0vsMRxG/Crynql738xdwTAarxZnW5eO83gezEJgmImtxFN6X4FRHEpHf4piJfsAx1Rxxj7kbeNo9phWOgptWg+t5AHgfyMNJH92mBseCM9s+S0RWuTJNcttvBJ4VkV8ByTgD4prQXVTxDPCciKzDyRB5q6oer+FM+GGcqmBrcUwyU6K0x0Jb4G/iFB8XoDYupTNxnv9v/RtV9Y0w+xuNAMvOaSQUEWmjqkXujP9d4CVVNbtwI0FEHgaKVLVGHj9R+vwYuF9Vza0zQZipx0g0D7sLpetxTEt/TbA8RiBFwB3iBnDVFdc99QycnPFGgrAZv2EYRgvDZvyGYRgtDFP8hmEYLQxT/IZhGC0MU/yGYRgtDFP8hmEYLYz/DyF2Wdyoo49/AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lin_regplot(X, y, slr)\n", "plt.xlabel('Average number of rooms [RM]')\n", "plt.ylabel('Price in $1000s [MEDV]')\n", "\n", "#plt.savefig('images/10_07.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Normal Equations** alternative:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Slope: 9.102\n", "Intercept: -34.671\n" ] } ], "source": [ "# adding a column vector of \"ones\"\n", "Xb = np.hstack((np.ones((X.shape[0], 1)), X))\n", "w = np.zeros(X.shape[1])\n", "z = np.linalg.inv(np.dot(Xb.T, Xb))\n", "w = np.dot(z, np.dot(Xb.T, y))\n", "\n", "print('Slope: %.3f' % w[1])\n", "print('Intercept: %.3f' % w[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Fitting a robust regression model using RANSAC" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.linear_model import RANSACRegressor\n", "\n", "ransac = RANSACRegressor(LinearRegression(), \n", " max_trials=100, \n", " min_samples=50, \n", " loss='absolute_loss', \n", " residual_threshold=5.0, \n", " random_state=0)\n", "\n", "\n", "ransac.fit(X, y)\n", "\n", "inlier_mask = ransac.inlier_mask_\n", "outlier_mask = np.logical_not(inlier_mask)\n", "\n", "line_X = np.arange(3, 10, 1)\n", "line_y_ransac = ransac.predict(line_X[:, np.newaxis])\n", "plt.scatter(X[inlier_mask], y[inlier_mask],\n", " c='steelblue', edgecolor='white', \n", " marker='o', label='Inliers')\n", "plt.scatter(X[outlier_mask], y[outlier_mask],\n", " c='limegreen', edgecolor='white', \n", " marker='s', label='Outliers')\n", "plt.plot(line_X, line_y_ransac, color='black', lw=2) \n", "plt.xlabel('Average number of rooms [RM]')\n", "plt.ylabel('Price in $1000s [MEDV]')\n", "plt.legend(loc='upper left')\n", "\n", "#plt.savefig('images/10_08.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Slope: 10.735\n", "Intercept: -44.089\n" ] } ], "source": [ "print('Slope: %.3f' % ransac.estimator_.coef_[0])\n", "print('Intercept: %.3f' % ransac.estimator_.intercept_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Evaluating the performance of linear regression models" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split\n", "\n", "X = df.iloc[:, :-1].values\n", "y = df['MEDV'].values\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " X, y, test_size=0.3, random_state=0)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "slr = LinearRegression()\n", "\n", "slr.fit(X_train, y_train)\n", "y_train_pred = slr.predict(X_train)\n", "y_test_pred = slr.predict(X_test)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy as sp\n", "\n", "ary = np.array(range(100000))" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "56.6 µs ± 1.94 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n" ] } ], "source": [ "%timeit np.linalg.norm(ary)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "57.7 µs ± 1.32 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n" ] } ], "source": [ "%timeit sp.linalg.norm(ary)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "72.3 µs ± 2.39 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n" ] } ], "source": [ "%timeit np.sqrt(np.sum(ary**2))" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(y_train_pred, y_train_pred - y_train,\n", " c='steelblue', marker='o', edgecolor='white',\n", " label='Training data')\n", "plt.scatter(y_test_pred, y_test_pred - y_test,\n", " c='limegreen', marker='s', edgecolor='white',\n", " label='Test data')\n", "plt.xlabel('Predicted values')\n", "plt.ylabel('Residuals')\n", "plt.legend(loc='upper left')\n", "plt.hlines(y=0, xmin=-10, xmax=50, color='black', lw=2)\n", "plt.xlim([-10, 50])\n", "plt.tight_layout()\n", "\n", "# plt.savefig('images/10_09.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MSE train: 19.958, test: 27.196\n", "R^2 train: 0.765, test: 0.673\n" ] } ], "source": [ "from sklearn.metrics import r2_score\n", "from sklearn.metrics import mean_squared_error\n", "\n", "print('MSE train: %.3f, test: %.3f' % (\n", " mean_squared_error(y_train, y_train_pred),\n", " mean_squared_error(y_test, y_test_pred)))\n", "print('R^2 train: %.3f, test: %.3f' % (\n", " r2_score(y_train, y_train_pred),\n", " r2_score(y_test, y_test_pred)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Using regularized methods for regression" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-0.11311792 0.04725111 -0.03992527 0.96478874 -0. 3.72289616\n", " -0.02143106 -1.23370405 0.20469 -0.0129439 -0.85269025 0.00795847\n", " -0.52392362]\n" ] } ], "source": [ "from sklearn.linear_model import Lasso\n", "\n", "lasso = Lasso(alpha=0.1)\n", "lasso.fit(X_train, y_train)\n", "y_train_pred = lasso.predict(X_train)\n", "y_test_pred = lasso.predict(X_test)\n", "print(lasso.coef_)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MSE train: 20.926, test: 28.876\n", "R^2 train: 0.753, test: 0.653\n" ] } ], "source": [ "print('MSE train: %.3f, test: %.3f' % (\n", " mean_squared_error(y_train, y_train_pred),\n", " mean_squared_error(y_test, y_test_pred)))\n", "print('R^2 train: %.3f, test: %.3f' % (\n", " r2_score(y_train, y_train_pred),\n", " r2_score(y_test, y_test_pred)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ridge regression:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import Ridge\n", "ridge = Ridge(alpha=1.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "LASSO regression:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import Lasso\n", "lasso = Lasso(alpha=1.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Elastic Net regression:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import ElasticNet\n", "elanet = ElasticNet(alpha=1.0, l1_ratio=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Turning a linear regression model into a curve - polynomial regression" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "X = np.array([258.0, 270.0, 294.0, \n", " 320.0, 342.0, 368.0, \n", " 396.0, 446.0, 480.0, 586.0])\\\n", " [:, np.newaxis]\n", "\n", "y = np.array([236.4, 234.4, 252.8, \n", " 298.6, 314.2, 342.2, \n", " 360.8, 368.0, 391.2,\n", " 390.8])" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "from sklearn.preprocessing import PolynomialFeatures\n", "\n", "lr = LinearRegression()\n", "pr = LinearRegression()\n", "quadratic = PolynomialFeatures(degree=2)\n", "X_quad = quadratic.fit_transform(X)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# fit linear features\n", "lr.fit(X, y)\n", "X_fit = np.arange(250, 600, 10)[:, np.newaxis]\n", "y_lin_fit = lr.predict(X_fit)\n", "\n", "# fit quadratic features\n", "pr.fit(X_quad, y)\n", "y_quad_fit = pr.predict(quadratic.fit_transform(X_fit))\n", "\n", "# plot results\n", "plt.scatter(X, y, label='Training points')\n", "plt.plot(X_fit, y_lin_fit, label='Linear fit', linestyle='--')\n", "plt.plot(X_fit, y_quad_fit, label='Quadratic fit')\n", "plt.xlabel('Explanatory variable')\n", "plt.ylabel('Predicted or known target values')\n", "plt.legend(loc='upper left')\n", "\n", "plt.tight_layout()\n", "#plt.savefig('images/10_11.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "y_lin_pred = lr.predict(X)\n", "y_quad_pred = pr.predict(X_quad)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training MSE linear: 569.780, quadratic: 61.330\n", "Training R^2 linear: 0.832, quadratic: 0.982\n" ] } ], "source": [ "print('Training MSE linear: %.3f, quadratic: %.3f' % (\n", " mean_squared_error(y, y_lin_pred),\n", " mean_squared_error(y, y_quad_pred)))\n", "print('Training R^2 linear: %.3f, quadratic: %.3f' % (\n", " r2_score(y, y_lin_pred),\n", " r2_score(y, y_quad_pred)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Modeling nonlinear relationships in the Housing Dataset" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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+fbjvvvtYvHgx//d//+cx7V5l+Cux90PyVA1yc6zdfajU0XqmngSLunXrxkcffVRt28WLF8nKyiI8PLxaLL6qJq4tbV1r61Oqau7aOt8a1i5SVXGndq9er+fGG29k8uTJ3HDDDTWOayzavUZlNeMdy0033WSaBPaUdm+TjvGfKzjHxP9OZNPhTaZtliZOHVmBW1eG11oJCZU6enkybNgwCgsLTdkm5eXl/O1vf+Pee+8lKiqKs2fPkp2dTUlJCRs2bDCdZ01bd9CgQXz88ccUFRWRl5fH55bU4m2cHxISYjXkMGzYMD788EOys7MBLIZ6qmr32hvP999/z969e2s8hg8fjpSSGTNmEB8fb3FC1pJ2b9U5ALCu3esItsZWlaravaWlpaxZs6baXQ1AVFQUrVq1Ms1vbN68ma5duwIG7d6MjAxTiG7o0KFu0e5t0oZ/ZepK1u1fx4zPZpBbnGt14tReGKUuDa+1EhIqvn95IoTg448/Zt26dXTq1Inw8HC8vLx49NFH8fHx4YknnqBPnz6MHj2aK664wnSeNW1dR7VyrZ0fHh5O//79SUhIME3uGunWrRuPPvoogwcPJikpyaJBBvdo927fvp333nuPLVu2kJycTHJycjXd3cak3QuG+YTJkyeTmJjI3r17eeSRR9w6DnOatOZuWUUZ/d7qx67Tu5jRfQYPdHnApZz9qopcRmypdimaBg1Rc/fHH39k0qRJrF+/vsakb2NBafd6BqW5W4m3lzcrx6/ET+PHW3veYvOJzVaPtRReiYuLs5izr1IuFfVFv379OH78eKM1+qC0exsCTdrwA8RHxPP00KcB+Meef5BbmlvjGPOKnPbCK0qAXaGoHdOnT6/VAi5bKO1e+zR5ww9w/1X3069VP84WneVfqf+qts8Yv9dqtXTp0sWhlbkq5VKhUDRmLgvDr/HS8Pa4twnyCSIuLA6Nt8HTcHXiVAmwKxSKxozH8/iFEBrgF+CUlHK0EKIdsAYIA34FbpdSlnp6HJ3DO3N47mEig2ufnWNpwZdKuVQoFI2FuvD47wMOVHn9L+AFKWUnIAeYUQdjAKhm9Iv0RS63U1cpl6pYm0Kh8AQeNfxCiDjgeuDNytcCGAqsqzxkJTDek2OwxJajW7jilSv4777/utyGM3MCrqAyhxQKhafwtMf/IvAgYFxXHg7opJTG6lIZQKylE4UQdwkhfhFC/HLu3Dm3Dir9fDonck8w+8vZnC0469a23YXKHFIoFJ7CY4ZfCDEaOCul3F11s4VDLa4gk1K+LqXsKaXsGRER4daxzeo5i+Hth3O+8DyzNsxyqOBVXaMyhxQKhafwpMffHxgrhDiGYTJ3KIY7AK0QwjipHAec9tgIMjLATMkGDBOxb455kxDfED7+42NW/eZY7Yu6jLmrzCGFQuEpPGb4pZQPSynjpJRtgVuBLVLKycBW4KbKw6YCn1pponacPw9Dh8I118C339bY3UbbhheufQGA2V/O5tCFQzabq+uYuyrWplA4TlPWx/UENg2/EOIzBx7vONnnQ8B8IcQhDDH/t1wcu220WujTBwoKYORI2LKlxiHTu09nYteJ5JfmM+mjSVRIy3JzUPcxd1WsTWHkzJkz3HrrrXTo0IGuXbsyatQo/vzzT6vHHzt2rJoyV1XqQx+3uLiY3r17k5SURLdu3XjyySdN+5qaPq497dyGgr08/njAlt6XAF6x14mUchuwrfL5EaC3Y8OrBd7e8M47l/5efz18+imMGGE6RAjB62Ne53jucRYOXoiXsH4dtBVzT09P90ixNq1Wqwz9ZY6UkgkTJjB16lTWrFkDwN69e8nKyqJz585Ot1cf+rh+fn5s2bKF4OBg9Ho9AwYMYOTIkVx11VXV9HEnT55ssx2jPu6sWbPYuXMno0aNqlGawR36uJs2bSIuLo5evXoxduxYU4lkI0Z93HXr1lFaWkphYaFD+xoS9kI9j0opv7Xx2Ab8ow7G6RoaDbz1FsycCcXFMHYsbNxY7RCtv5YdM3bQN6Kvzfi9rdi6SrlUeIqtW7fi4+NTTfYvOTmZVq1a2dTbLSsrY+rUqSQmJnLTTTeZDFB96OMKIUz96vV69Hp9tTBmU9HHtaed25Cw5/FXCCH8pZRWpXeklB+6eUzuxcsL/vMfg+f/2mswfjysWwdjxpgOyc3NNa3E3XN+DzFBMej1ejIyMkxevCPyjKD0cZsy4h/W1aWWj17OXSl3AfD67te5e8PdVo+VTzqeRZaWluZSJc709HTeeust+vfvz/Tp03n11Vf5+9//btpf1/q45eXlpKSkcOjQIebMmdMk9XHtaec2JOx5/JOBE0KId4UQIyvLLzQ+vLzglVdg7lwoLYUbb4RKLVG4FL/feHIjd3x7Bw/vephyaYhpGr14oEbM3RpVz1Eo6oNWrVrRv39/AG677TaT8ImR2urjNmvWrIY+ri1FKo1Gw969e8nIyGDnzp2kpaWZzq2qj2uNqvq4LVu25IcffuCOO+4w7Z87dy67d+/mP//5TzWj78jYjDijj3vPPfewZ88egoKCTHMBtvY1NGx6/FLKCUKIZsAEYC7wlhDiU+ADKeV3dTFAtyEEvPgi+PjAc8/BzTfDBx/ATTeZQjW9InoR6hfKrnO7eOOPN5gVb/gCGb148xW6xti+JXJycgDDxULRNHDUU78r5S6T919bunXrxrp162ps9/b2tqq3C5b1JapS1/q4RrRaLUOGDOGrr76qFqpqCvq4tvY1NOymc0opL0opV0opRwJXAnuBZUKIk3ZObXgIAUuWwIIFUFYGt94Ka9aYvPcW/i1Y1GsRAsFr+19j9/lLa88sGXhLKZdVMRp/d6Lq91xeDB06lJKSEt544w3Ttl27dnH48GGrersAJ06cMGWUfPDBBwwYMKDa/rrUxz137pzpe1pUVMQ333xTTSayqejj2trX0HA4j18IEQrcANyCobLmR54alEcRAv75T3j8cSgvR06eTPBHl95K38i+zOgygwoqeGjnQ+hKDF9YS6EdY8qlLdxpmJ1dS6AuEo0fo+bupk2b6NChA926dWPhwoXExMRY1dsFiI+PZ+XKlSQmJnLhwgXuueeeavvrUh83MzOTq6++msTERHr16sU111zD6NGjTfubkj5uXWvnuopNzV0hRAiGImqTgB7AZxhW4W6VdVjnwFXNXXsUPfIIAYsWAXD64Ye58Je/AKCv0DPt22mkXkhlSPQQlvVbRlxcnNUJ26rxSnOEEA7l39vS8K26zxI+Pj6mbIeq7VkqHa3WAjhOQ9TcrWuUPm7jwZ2au0eB64DXgFZSyruklFvq0uh7khNTp5JZmekQs2gREW+8AVLi5+3Hc/2eI8QnhL3ZeykLKbNpLENDQ63uc2SRly1P3nyfJSztU0XeFO5A6eM2Teylc7aWUhYCCCEihBBIKd1bKrMe0ev1ZE+dSkVQEDFPPUXkSy/hlZdH1v33MyxlGJ+GfUqn8E7ENYuz2Y4x3GMtpm+vsJo9I23vOmspDKWKvCncxfTp0z3WttLHrR/sZfUUCiGeBP6K4e5ACCHKgGVSyqfqYoCexMfHB71eT85NN1ERFETcI48Q8fbb+BQWwvvvc3W7q6sdX1ZRhreX4SOzF34x78cS9tpwpG1r9XuM783RsSgUissHe7V67gcGAL2klGFSylCgD9C/cl+Dx9YEZ9WsnNyRIzm+dCkVfn5o166FKVOg0nBKKfnn9/9k0NuDKC4rdij8UpWqqyWrjsteGz4+PjYNta36ParIm0KhsIa9GP8UYJKU8qhxQ2Wtndsq9zVo7GXBmBdCKxk2jMJ16yA4GFavNiz0Ki7mxNkTvLLjFX7K+InbVt/m0Ape83GYZ9RYCu9UxWikrRnwuLg4m8pfqsibQqGwhr0Yv4+U8rz5RinlOSFEg48Z2IqdGw1gjUJoXbrA5s1w3XXw+efor72Wwmef5cW+LzJl2xQ+OvoRVzS/gls73OrwOCyVcbDn6ZsXe7OW8WMLVeRNoVBYwp7HX+rivgaBy7Hz3r3hu+8gKgqf776jzYwZJMgoFvZYCMC/Uv/FL+ecSy8179NatUONRlPDk/e0vq9Cobi8sGf4k4QQFy088jCs4m3Q1ErFKiEBvv+e0thYAn//nfZTpjBek8zUTlMpk2X87ee/cabwjMtjsRbmaSKZsgqFogFj0/BLKTVSymYWHiFSygYf6qn1BGfHjpxYvZqizp3xO3aM9rffzkO+o+gT0YcLJRd4Zu8zdpuw1mfVOiuObHcVtXq38ZKdnU1ycjLJyclERUURGxtrel1a6tgN97Rp0+yWT37llVccKovsCRzp+9dff+Wrr76qoxFdHthbuTtUSrml8nm7qpO8QogbpJTr62CMtVq5a2tFrKP7M//4g1Zz5xK8axflwcGkvvBPFvpu4u+JfyfM+9LScuP5YD8mv3//fotG3tIqXFdRq3drh7Mrd+19l2rDwoULCQ4OrlZaGQx3iFJKvLw8KZ9dv7z55pukpaXx4osv1vdQGjTuXLlbVVfNvDbPY64Nr26xFR93pPaNVqsl+oorOLl8ObnXXIMmP5/k2X/j1QtDSWybSFxcXI0wjqU+q3reaWlpVj17d6ZbqtW7dUddajIfOnSIhIQEZs2aRY8ePcjMzOSuu+6iZ8+edOvWjaeeurTEZsCAAezdu5eyMsPq8wULFpCUlETfvn05e/YsAI899pjJqA4YMIAFCxbQu3dvunTpYlLsKigo4MYbbyQpKYlJkybRs2dP9u7dW2NscXFxpvP79OnDkSNHADh69KipXs8111xDRkaGQ30XFRXx1FNP8f7775OcnMy6devYsmULSUlJJCcn06NHDwoKCtz+GTd17Bl+YeW5pdeNDmcMY7mPDyeXLCH71lvx0uuJnT+fwmef5cTJE7yU+hI/Zv1o9cfuaN6/RqOx6SE6G7ZRq3frjrq+yO7fv58ZM2awZ88eYmNjWbx4Mb/88gupqals2rSJ/fv31zgnNzeXwYMHk5qaSt++fVmxYoXFtqWU7Ny5kyVLlpguIsuWLSMqKorU1FQWLFjAnj17rI4tNDSUnTt3cvfdd5uKv82ePZs777yT3377jYkTJzJv3jyH+g4ICOCJJ55g8uTJ7N27l5tuuoklS5bw+uuvs3fvXr777jub5ZwVlrFn+KWV55ZeNzocNYymH69GQ+Yjj5A1dy5CSmKeeYbv3pzLqwdeZf6O+aTr0k0/9qpGOiMjw6FJW1v1UFzxKGs1ua1wirq+yHbo0IFevXqZXn/wwQf06NGDHj16cODAAYuGPyAggJEjRwKQkpLCsWPHLLZ9ww031Djmhx9+4NZbDSnMRtF0a0yaNAmAyZMnm+4Yfv75Z9P5U6ZM4fvvv3e4b3P69+/PvHnzWLZsGRcvXqyVHvDlij3D314I8ZkQ4vMqz42v29XB+GrNkiWGtViW5sKsGUAvL69qnnW1H68QnJs5k4ynnkJqNMxe9i0TdHEUlBUwe/tszhSeMRllZ3/0tgyyKx6lWr1bd9T1RbaqnN/BgwdZunQpW7Zs4bfffuO6666rIaACVNOo1Wg0lJWVWWzbz8+vxjHOZJvZE3ixhaW+zXnsscdYvnw5+fn5phr6CuewZ/jHAc9hiPUbnxtfj/fs0GrP+fPwxBMweTJYch6sCalIKat51pbQTZjAiaVLwc+f1S9n0D+nGWeLz3LP9nu4WHrR6bRMWwZZp9O55FGq1bt1R31eZC9evEhISAjNmjUjMzOT//3vf27vY8CAAXz4oUFe+/fff7d4R2Fk7dq1gOEuxCj/eNVVV5nOX7VqFYMGDXK475CQkGoKWocPHyYxMZGHH36Y7t27Oyz6rriEvSJt39bVQDxBUBAsXQr79kHnzpe2v/wyDBkCCQkGA3j69Olqk62OGu28wYM5+sYbtJk7l8+X59DvHl/+4BD377if1/q/hq/G134jVfo0eu+WJqCtYc+jVKt36wbjZ+yprB5b9OjRg65du5KQkED79u1Nxtad/PWvf2XKlCkkJibSo0cPEhISaN68ucVjCwsL6d27N0IIPvjgAwBefvllZsyYwaJFi4iMjOTtt992uO+hQ4eyZMkSunfvzqOPPsrmzZv5/vvv8fLyIjExkREjRrjlPR0dE9sAACAASURBVF5O2Evn/M3WyVLKRLePyALuFGI5dMhwEfD1hTNnAGqmPDqL78mTtJk9mzM5x7jqLi/OBFUwrfM05l9pWdXIFubplrZ0fVVqpmdRQiyXKCsro6ysDH9/fw4ePMiIESM4ePAg3t7Vfce4uDjS0tLUd7IecCad016tngoMk7irgc+BIncNsr7w94fZsw0KjFotpKdnUVEh+fLL5gwZkkdQkGMLqDQajWkytrRVK06sWUPrefP48r0dPHitF/eGdbZ4npeXlyn32hLmdX1shXKU0VfUFfn5+QwbNoyysjKklCxfvryG0Vc0HuyFepKFEFdgkF5cDeyv/Pu1lNLyzEsDJy7OEOoxotfrSU0NYMGCVsTFlfLFF3/iyFoY8wyckqAgDr3yCm0XLmTTys+R7z1K5kMXTXKOYPDQhRB2V+dWNfa26uoro6+oK7RaLbt377Z7nDE/X9GwsWvipJR/SCmflFL2wOD1vws0ilr8juDj44MQ0KNHAddem2sy+uXl8OuvgTgTAZK+vpx65hmyZs9GVFQQuXgRL781ka0Zm00Tq45I2FWN29fXpKEq9WBA1U5SNAac/Z7avVcTQsQCtwITgBwMRv9jVwbXEImMjCQ5+RQrVx7FmD0mhGDbtmDmzWvDsGG5vPjiSccbFIJz99yDPi6O79Y8xnLtHwT8OJ/eHZPoou1iV7XL3KjXx6SheakHY3pq1fF4su/6mCC1hL+/P9nZ2YSHh9cqRVGh8CRSSrKzs51ayGbT8AshvgVCgA+BO4ALlbt8hRBhUsoL1s5tLFQ1rHDJ2JSUFBEWVkbPnoWmY4uLBfn5Glq0sB/l0o0ZQ5/ISKZunMXKBD0j3x7O1olf0KZtH6uTydYMna3MHE8YSkd0DDxBfV5wLBEXF0dGRgbnzjUZmWlFE8Xf35+4ONva4FWxl9VzjEsrdKseKAAppWxv41x/4DvAD8MFZp2U8kkhRDtgDRAG/ArcLqW0WWrQnVk9jqLT6Thy5DQVFRJ/f8Nb//DDUBYvjuaee84xc6ZjxiC6II8Zbwzn01aFtCgSbBv6LrG9R9cw1lDTq7e0zVKqp7uLsKWlpVndl5CQ4HK79rCWweTOwnUKxeWES1k9Usq2teizBBgqpcyvVOv6QQixEZgPvCClXCOE+A8wA3itFv14BK1WS/v21Q3vyZP+lJUJYmMvXaeKiwU+PhLzVeNVDfDa9oeY8PSVbAzLZtim2/nu+CK6zFxgOtaSp2s+SWbJ+/WUZ25tQhkMxtlT4RdVW0ihqBvsia1H2WvA2jHSQH7lS5/KhwSGAusqt6+kAa4ANk5sGo2vUd/2hRc0fPHFn1xzTa7p2LffbsH113dm69YQ0zbzFbJ+EdF8tPgow0tbkRUMD2x5GObPxzipkJmZ6dDkjHmJBk8ZSmsrmo1tO1J10pXJYVVbSKGoG+xl9XzpQBtWjxFCaIQQe4GzwCbgMKCrkgqaAcRaOfcuIcQvQohf6jLGaqsYmlarpVUrPVXt0I4dwZw65UtgoCFFMzQ0lIoKQ1pbVYMXEBDCJ08eYG7QUFZu8IYXXoDRo0GncyjTx4h5qqclamsozUs9mGOvRpCrJYpVbSGFom5wVXqxqgSj1V+llLJcSpkMxAG9AUvLIC26ulLK16WUPaWUPSMiIhx9P7XGXjE080qAb799lNdfP0rv3oaa4DqdjqeeasGcOa3Zt8+rmsEL8g1i6d83o/1yC0REUPH1/8ge2BPfo0dxBqMXHRwc7DFDadQUsIatuwpXSxSr2kIKRd1gL8bvlnqnUkqdEGIbcBWgFUJ4V3r9ccBpd/ThLmyFT3QWvHMvL+jb95IQREkJfPVVc3Q6b+bNMxjAjIwMsrKyLsXGBw6k/OcdzHyqJz8FHWbzzEmULnyW/AEDnBqn8S4kPz/fZlZPbTJ/bC0gszU2Z7ZXRdUWUig8j8fWXAshIgB9pdEPAIYD/wK2AjdhyOyZCnzqqTG4gpeXl1VJREdENXx9JZ9+epDt20Po1KnEtP2xxyJo3lzPffdl4ut7kQuFF/gxsQXpF3O49oYCtvztHgLunMu5GTNwaOkwBi86Pz/fpmde2xTJyMhIi5lDtu4qXLlYKBSKusOTQp3RwNbKQm+7gE1Syg3AQ8B8IcQhIBx4y4NjcAqdTmd1kjUyMtLhSdOwsHLGjLkUz87K8mb9+lBWrgzn3Llc9Ho9IT4hLB/4Bh1C2pMWCSNuB683X6L1fffhdfGiw2OuOiZLE6q1VYZyJfyiYvUKRcPGZh5/Q6Gu8vit5ZFrNBri4+NtVsq0hZSQmhrAgQMBTJp0ac3b009H06nHUd7zmsjxgmN0ueDFpncqaKltzYkXXqCks+VCb1Ux5rhbyum3h6s5+Y6EjhrSClyF4nLFVbF148kdhBB+lc+HCCHmCiGa3K/YmlE3xvVtpTnaQghITi6qZvT37fNn7dpwXvy/7rza+x06N+9MelgF/e725lTeCTrcdhvNv/jCTrui2kIvZ4y+q2EXRzN2bIncKxSK+sXRUM9HQLkQoiOG0Ew7DFU6mxT20iPtpTk6Q/v2JTz++CnuuecsrcPCWTFoBUlhSZR6d6M4ZTReRUW0WrCA6EWLEFbi5VVDLs7eiVRUVLhUeK2uRcUbKqqInaIx46jhr6jMwpkAvCilvB9DDL9J4Uhs2l6aozV8fHwIDQ01tR8QILn55hymTMkGoLlvc6Z6rebsi1sYnraOjEcfp8Lbm/DVq2k7YwbeZ8+a2rHkRTt7MSovL3cot94ctbrW9XUKCkVDwVHDrxdCTMKQhbOhcluTS9FwZiLTWUMbGRlJbGyszTuGK9p7c8tYydQ7ssm+5UZu+Xd/Pu2lJWjPHtpPvJmgXbusTpC6EoZyxVO/3FbXemLCXKGobxxN55wGzAKekVIerSy0tspzw6o/HM0jt5TmaIuMjAwyMjKqFWAz1/pt1aqUxx7LBGDDiY2su/gt60d583BRV55O20/bO+9EnDgBjz2GeXEg8/LNjuKsp+5KemdjxVoqrLX/+eV016No3Dic1SOECMNQgifHs0OqSX1U53SEU6dOkZPj/MchhLB7wZBS8kLaC7z959sgBX87OIQlH2xDSIl+wBB+nf8+vcfHkJtrOXtm//79dpW+wLXKl7XN2GksGT/OZnGpKqKKhoZLWT1CiNZCiDVCiHPAz8AuIcTZym1tPTPUxkN+fr79gyzgyMVWCMH8K+dzX8J9ICTPdd7Kfc9eT0l4GD4/bKPdDcksu/5zq7HmmJgYu6EfVz312mTsNKb4uD3BHPPXTfGuR9E0sRfjX4tBbStKStlJStkRw6TuJxhW3l7WeOLW3rwW0J1d7uTx7o/jhRfL8jYw7qkr+b3jAFpyjrkbx9Ly+edBryc7W8P585pqZZljYy3WvzNRH3VwGlN83NZ8hqoppGjM2DP8LaSUa6WUpgI1lYXX1mBYdXtZY80weHl5uSzV5+XlRVxcXLXzb25/My/3f5kg7yCyZQFl/30R/VP/RGo0RKxYQftp0/j4xWJGjOjC+vWhpguSVqu1abzqw1A1pqwgW1leap2CojFjb3J3txDiVQx1843Cs60wZPfs8eTAGgPWJjpjYmIA6xOttmL8er3eZESqirEMjBrI+1e/T7hfOIEBwfg8/jAnOrQhev58AlNTeXr/1ZzQryA+PtFk7HNyoEWLSM6caTiTsY2pjk996B0rFHWBPY9/CvA78A/gf8DXlc/TgNs9O7SGj630T61WazXFUqvV1gjpGKm6WMzc8+/QrAOh/qFERkZSVlHGvRVreO3Vv3Jx8GCC9bms50aGr11AZFAQAHPmQEpKCL/+GmRqw8vLq17DEo2tjo/y7BVNEVWrxwquZp5UPc9Vqvan0+mqpX1qNBqio6P58uSXTF4/GYB5V97HAzv9iHrhRbxKS6FDB/Rvr6LL1O6cOOHLxo1/Eh1tnEwFPz8vYmJi6s2INZasHoWisWMtq8ee2Lo3Bk3c8RiUsiSG+vmfAm9JKeskMFvXht8VEXOdTkdmZqZTalq2EEIghLCYkmkMJ725/00e+uYhJJLJV07mzQ734z91BqSmIjUasu68i28HzKVbcpnp3DvvbEtAQAULFmQSG6sMr0LRlHFJbB14D9BhCO8YA85xGGL8q4Bb3DnIhoKzIuauVMa0h5TSantSSs6ePcsD/R+gc3hnJq+fzPu/v8/BCwd5Y92bxC3+D6ErVhC1/DXG/PgDGYsWUdqmDefOebN3byAajaRZM8MFyrw+vyVv3PiZ1MZDVxU9FYqGgz2PP11KaXFFihDiTyml/brBbqCuPf60tDSr+yyVMj5w4IDbPH1nMI4l9UwqY9eM5UTuCZr5NOO9Ie9xZXo2sY88gu+ZM1QEBJD54IPk3HgjF3K82b8/gAEDDGsQpIQZM9qSklLC/feXUFp6oUY/5pPR9u5+zHHkDsqVuyyFQmEbV8sy5wghJgohTMcJIbyEELcAdb6Ct65wph6NJTnGusA4Fp1Oh3+uP6sHrWZI9BC6hnalTUgbCnr14tBHH6EbNQqvoiJi//EPWs+dS8uKLJPRB4NOwK5dwXz0UTMKCiz/Sy3d/WRmZjpcndKR3P3GlN+vUDR27IV6bsUgl/iqECIHEIAW2FK5r0niaD0anU5XLeWyLomMjKzmJTf3bc5LfV+isKwQjTBkDGX5lHDyibl0HTyYmKefptm2bQTu2UPmggXkXn89CEFSUhHvvnuECxc0+PgYa9II/va3VowapWPEiIsWlSDLy8tNFzx7co6O5O43pvx+hftQ4b36wabHL6U8JqW8RUoZAfQF+kopIyq3Ha2bIdY9jlTpNBrd+qKgoICMjIwaF6cgH0PqZllFGQ/ufJCJmyeyPsmPQ+vXk9e/P965ubR6+GFaz52L99mzCAE9ehQxbFieqZ2vv27G1q3NWL68JY6uQ7PlndtLXTV/bu0YRdOiMZXvaGrYrc4phLgCGEdlVo8Q4jTwqZTyD08Prj6xV6XTWcUrd2OvOFxJeQnBPsHk6fOYt2Met3W8jfmvvETEZ18QvWQJzbZtI2j3bjIfegjd2LFUtfBXX32Rxx47TXh4mWlzXp4XL70UyaRJF2jfvsRin+beua1MJ+MdlK30V3fn9zvqXSovtG5wNolC4T7sFWl7CENNHgHsxCCaLoA1QogFnh9ew6WhhyCCfIJ4qe9L/P3Kv+MtvFl1aBVTvp3K3uHdOfjxx1wcNAhNXh5xjz1Gm9mz8T5zxnRuYKDkllsuMHz4JdH39etDWbMmnH/+M9pmOQqjt2b05qzNfxjbqOrxmePOC6uj3qXyQusOFd6rP+xl9fwJdDPP1xdC+AL7pJSdPDw+oOGVZa7P2L4rpGan8sDOB8gszMTPy4/7r7yfyR3+gnbDBqIXLUKTl0d5cDBnHniAnAkTsBTfOXrUl/fea8HVV19k4MB8hBBkZnqzbVsIY8fqCAy0XwLaHGvlG8yPcUepY3sllo2evbW7D1Vy2f1Y+5+oz9p9uJrVUwHEWNgeXbnvsqQxZZoIIUgKT+K/w/7L2DZjKakooaisCIRAN2YMBz/9lItDhqDJzyf2ySdpO3MmvseO1WinXbtSnnjiNAMH5pvaXb06jGeeiWHRIudVOB0x+mDd+3NW89ZeX0bPXnmhdUdjK9/RlLAX458HbBZCHORSkbbWQEfgXk8OrCHTmIyA8Y6uuW9znun5DONaj6NHix6m/X/65VGy9AXCNv6P6MWLCf75ZzrecAPnZs7k/IwZSF9fi+1WVFTQvXshe/YUMHHipdz/Y8d8ycnxJjm50OrEsPHH7UhpC2sptJaUscByVpGxHXt92br7VZPM7kcVwas/7Nbqqczh741hcldgWMG7q2qpZk/T0EI9ziozNVTOF59n3NfjaN+sPU+lPEXHMi1Rzz9P6CefAFDSti2nH3+cgt69HW7z0Udj+eyzUObPP8O0aedr7Pfy8qJ58+bk5+fb/QwtLfKydbGwFiIwr3dkj9ouWLOFmjhW1CWuhnqQUlZIKXdIKT+SUq6rfF4uhAj2zFAbPq4ImzdETheexl/jz97svUz8ZiIrzn3GiacWcmTFCorbtcPv2DHazZhB7KOPorlQc0WvJVq1KiUsrIzhw3NN244f9yU725DS2bx5c3Q6nUMXzqqfsfmkqyUs7TOe56jR96TIipo4VjQUXK7OKYQ4IaVs7ebxWKShefzgniqcDYHc0lz+/du/+ez4ZwB01XblkeRHSA6Jp8XbbxPx+ut4lZZS1rw5WfPnkzN+PBZXdFVBr4eqkZFZs9qwa1cQL7xwgkGDnJOrNHrbjoaFzD1+Z+/O4uLiPOaBq8lMRV3jUpE2IcR8a7uAy9bjh+p5/u6+CISGhnLx4sU6KQVhjP1fG3stT+15iv26/dy27TbmdpvLzLvvJnfkSGKefprgn34i9skn0X7yCZkPP0xxfLzVNqsafcNFQKLRSBITi0zbz5zxJiKiDCtru0wY87odCQtZmhR05n+i0Wg8GnZRE8eKhoK9UM8/gVAgxOwR7MC5lw1GsQ53TAAaPdz4+Hji4uLqbFJxUPQgPhvxGTOvmImfxo/eEYa4fmnr1hxbvpyT//oXZWFhBO3ZQ4dbbiHmH/9wKPzj4wPLlp1g06Y/0WoNFzIp4a9/bcPo0Z05fNjPbhvGeLj1PqyHY5z5/Dx9oVWrkxUNBXvG+1fgEynlP8wfQJ6dcy87rMX+vby8CA0NrRY3DgwMtNqOMeZrVPGqKwK9A5nbbS5fj/yanlGX7g6fT3uBjSla/vz8c87ffjtoNIStW0fn0aMJX7XK4NbboXnzS0Y1O9ubvDwNhYVexMWVmrYXFVmeN9FoNFZ1CeLi4mwqYzkzH+NpA6zSFxUNBXsLuLoA2VLKGukZQohIKWWdJLQ3xBi/NayVKbCUGWKtnLMx5uuJOv+OYFT5ysjI4JdzvzDtu2kADIsZxt8T/06HrFKi/v1vQrZvB6C4QwcyH3yQgn79HO6jvBxOnPClXTuD4S8rg9GjO9OpUzFPP33KdKGwpU8MOJQZY55J4+PjQ2FhYY3jQkNDiY2Ndfg9uILK6lHUJS7F+KWU6Tb22TT6QohWwLtAFIbFXq9LKZcKIcKAtUBb4Bhws5SyyZR41mq1ZGVl1TDolmqQWAstGGO+9VUPSEqJVqvl9OnTJIYlMi9hHssPLGfz6c18d+Y7JrabyMwX/o92P+8j6t//xv/wYdrdfTcXr76aMw88QGmrVnb70GgwGX2AP/4I4OxZb3x8/AgJufS5VFRIm4Xi9Ho9GRkZZGRkWDWk5nWX0tMtf63z852beHYFezWgLKEuFgp3YzdOL4ToJoSIqHweLoR4UwixRgjR1c6pZcDfpJTxwFXAnMpzFgCbK8s9bK583aRwdBLPXsy3vib9Kioq0Ol0VFRU4KvxZUaXGWy4dgOjW4+mrKKM1YdXM/J/o1jcch+HPvmEM/PmUR4YSLOtW+k4bhxRzz6LJjfXfkdVSEgo4uuv01m0KMOUNFRQ4MWYMZ1YtqwljoTfHU2PrOtJVmdXGZufq1JAFe7GkQna/1R5/gxwBvgYWGHrJCllppTy18rnecABDIvAxgErKw9biUHPt0nh6CSevZhvfU36+fj41ChL0TKgJYt6LWLd8HUMjRlKcXkx+fp8pK8v52fM4OCGDeSMHYuXXk+LlSvpPHIkLVasQBQXO9xvixblJCRcyvzZsiWE48f9+OWXILvZP0aklGRkZNg0jLb+P7Ux0paoreFWAjUKT2Avxv8kMAt4DUMK52wMBr8YmAm8DmyTUn5nsxMh2gLfAQnACSmltsq+HCllqIVz7gLuAmjdunXK8ePHnXlf9YozMoK2buProxiccZz2+k27kEZ0YDTh/uEAbDq1ieP5x5mu70H7pa8RvGMHAPrISLLmzDGUfnbUelciJezZE4iXlyQ52XBBOHvWm4ceasXkydnVqodaex/OaCR7eXnVmESu7apdW+sIHFkz4IgMqAoFKaxhLcbvSMmGPcBEDLH6f0gph1Vu/15KOdCBjoOBb4FnpJTrhRA6Rwx/VRrT5K4Rd/0Y61rP12iMnFn4VFZRxtivx3Ky4CRhfmHc3vF27jjfhi5LXyfgD4NsQ3HHjmTNm0feoEEWq386yquvtuS111pyzTW5PP/8SZvHajQapJQmY26ctDaKyjtaxqE2C6xsGW5HLir2Fn0prWKFLVya3K3kKQzeup5KuUUhRDegZiGWmp36AB8B70sp11duzhJCREspM4UQ0cBZB99Do8KVSTxL2DL69jJeXMEYQrAkP2kNjdDwWPfHeHnfy/ye8ztL9y3ldU0AEx4Zzz0ZY+j9ymr8Dx2izb33UpCSwpl58yhKTnZpfHfccZ7Q0DKuvPJSSOjQIT/WrAnjL3/Jpn37SxPG5p9deXl5tYlgR9M8axP7t1UczhHREXsyoErMROEKjtTq+VhKGSOlbCOl/Kly2z4p5QRb5wnDr+ot4ICU8vkquz4DplY+nwp86trQLw+8rJRH8PLyqlFTJjQ0tNY1hKpWuqzavi2EEPSL7Mf7V7/P8gHL6deyH0XlRaw+8gGDS5/j/RVPkPngg5RptQTt3k2H22+nzaxZBKSmOj2+wMAKJk26UG0uYNWqcNauDWf16nCn3qejd1K1mWuxt47A3kXFngyoWg2scAVHPH5X6Q/cDvwuhNhbue0RYDHwoRBiBnACQxhJYQVrRsMYojAPQQQFBdV6XkBKSWZmJl5eXk4ZEOMFoF9kP9Jz03n34LvsPreb5KheZN/ej5zx48l671n6v7uRkO3bCdm+nbz+/Tk7ezbFSUku373cdls2QsDkydmmbampAaSn+zN6tI7AwNrdFdVmgZXRQFv7nzhyUbF192jtjkKtBlbYwuUibXVJY4zxuwtXYsS2zqlrSstL8dUYavrrSnRcs/Eawny03J4Vy6zV+2ibZcj6yRswgLOzZ1N05ZVu6fevf23Ntm3N+Otfs7jrrnMut6PRaIi3UZfIUTwVi2+IMf6mNNnc2N+Ly2WZFfWLLc/NWlpfXXp79spPGI0+QEZBBuF+4ZwuPsO/mu+mwz2lDH8ojnVJvvj/+AMd/vIX2syeTcDvv9d6XNdfryMlpYAbbrhUT+jXXwPZuzcAZ3wdd02s2wvZNLR2XaUprTtoSu/FHIc9fiGEBoikSnhISnnCQ+OqxuXs8TtStsGY1ufMOe7A6AE52ldoaCjRMdGs/G4lHx76kM2nN6OvMPyoIsoD+OMlSViu4Q4gv08fzk+fTn7fvrXKAqrK5Mnt+e23QJYsOcF111lPBTXH/PNt7HjSi21KpaebwnupTVYPQoi/Ak8CWVzS2pVAottGqLCIKzFie5J27lAQM2aWnD592mGjb6yDMyFpAr1b9OZC8QU2nNjA+mPrCfMLI+uzJZS/8w6ha9ewRv8z1//tZyJju3B+2jRyr70WvGt+XYUQCCHspmXq9dC7dwG5uRoGD75UX/D33wOIjS0lLMy+Z18bg9lQQgaOyFbWZqxNabK5Kb0Xcxzy+IUQh4A+Uspsuwd7gMvZ4zfizliuvTsCYzVM8/0ajYby8nKTMQDrFyRzzL2kqsZFSkmePo9mvs0ASDu5g0k7ZyIkDDoON++D0Rci8Z44jZwJE5CVoSVzo+TImoeKiks6MuXlhsJwZ896s2rVEeLja64ydke+fEOKw3t6XUBT8JKNNIX3UtsY/0nAueIrCrdiLZYLOF1iwNiWNcrLy2v0FRcXR3x8PAkJCaYyyM6UDTD/AVUtOS2EMBl9ABEcwpDoIXhrfPi2Lcy5HtpNzmJy5mK2/n0wzV95iVZ+fjXKMUdHR9scgxCimnhYXp43V1xRTmSkns6dLxn9o0d9Md5A6PV600XK1dIJDansgj0vtrZjrU3paXeXy6gt9VpG+7zdZVK1wtF0ziPANiHEF0CJcaNZfr7Cw5in9Tly226rLWvKVj4+Pg4tQHPmltdSSMqaMekW2o1l/ZaRp89j2+lt/O/kV/yYtZ1t7crZ17KYWc+9gfeKlXDzzaTfMYaIHsM5d/aczfEY7w6qhjASEiLZtCmAU6d05Ocb0iKLigS33dae5s3Lef/9I4SGltu8q9Hr9SbP0FpYpCGFDOylf9Z2rPbCjNaozXfZU7j6XlxGSti2DV55BT79FFJToau9Wpiu4ajhP1H58K18KBoAtV21aW9VKFiO9xr7dhRXZRFDfEIY02YMY9qM4WLpRbad3oo8fhDv6y/Ahg3krFtFt/arCP/Gm0EBV9Kn+0T6xg6iuW9zi31lZGSg0Whq1MiJjdUChjIVf/7pRXBwBVptOaGhl8JGubmaamIylt6HNWPVkHLt7f3P3TFWV1atN9QVyO5agW+Tixfh3Xfh1VfhwAHDNm9v+Omn+jX8lYpbigaGp70zS15YRkaGU6UibHlJtsoZmNPMtxlj244jbkAczNHC0aMcWb6Q6IL3yAgpY53cw7pf9+C1W5DULJ6+cUO4pcMthPmFVWunvLzcqiep1+vp3Bm++OJPzp+/9NPIztYwcmQX+vfPZ8mSE5bmmE1YMlaOXGDrCnv/c3tj9dQkdUO6K6oz9u0zePfvvQdGLYjoaLj7bpg5E2JiPNa1PbH1F6WU84QQn2PI4qmGlHKsx0amsIunvTNrQjDOGH1bk2CRkZFOrTKuJoberh0pi1eycde9nNm4kp17/ss3zc/yQ2vJnrz97Dmwn7vOtIaBI8DHh40nNxLkHUT3Ft0J8Qmx6EkaP09vb4iKKjNtT00NpKwMfHwCCAjwMRm9oiK9xYuApfkMqMOQgR1s/c+1Wi0FBQXk5OTUON6T4ZiGdFfkUYqL4bPPDN79t99e2j54MMyZA+PHG4SqPYy9sswpUsrdQojBlvZLKb+1tN3dqKwey3g6W8QdK4Dt5cA704e5NGK1stVSEpCaiu/a99h15BsOhFfw6PegDw8nZ+wYkjp+zhl9eTmWXwAAIABJREFUNgLBFdor6BHeg8TwRBLCEogLjMPP14/g4GB0Op3FC1tZWTjBwdF07Gh4nZ4OAwaUMXnyee68s/pEnK0LXkNJ67SGre+UrTmh2ma5NKTMJ7cjJezeDe+8A6tXg/GiGhwMt98Os2eDh9aKuCq9uLvyb50YeIVzuOJJOmN4nAnFWDvfXn/O9GEujVhtnkEIipKTKUpOpuv58/T7/HOKMz7G/+hRtO++wx1DYFvXQHaHFXNAd4ADugO8f/h9AO5PuJ/pXaaj0+nIJ5/zeedpFdwKL3EpBcjH5wItWgQAhrGvWwfnz3uTkeFXY5zGCV/z99oQJzDNsRVr92Q4pqHdFbmFrCxYtcpg8Ks6ON27w/TpMGUKNGtm9XRP4skibYo6wJnJJ2cNjzOrcs0RQhAcHGy3P2f6MDcw1gxOWYsWnJ82jfN33EFAaiqhn3zC0199hWZzAYU+8FM7H7YMbs8v7f1JFWeI1xpq8Ugp+SD9A5amLSXEJ4TOzTvTsVlHOjTrQMdmHYkvj+cq7VUAPPIIDBwIwcEa08Xr118DWbo0khkzzjFoUH6N99pQJzCrYsu4ezocUycTqZ6mpAS+/BLeftvw17iupEULmDwZpk2DpKT6HSPK8F9WOGt4LHlh9lIm9Xq9SQClapzYWn+W+qioqLC4EMvcwFhSzKpGlbuAzAcfpPk336D95BOG7drFsD8NgutlWi25w//HxZEaClJSAIjwj+Bc8Tl2n9/N7vO7Tc21CmrFiURDlZLcXB0/FLxKhD6CDnQgwi+CDz8M49dfg0hJKWDQoPwa77UxTGDaMu7unqR25u6zvkJkDvVbWgrffAMffgiffAJGvWmNBsaMMRj7668H34aTEOlUdU4hRJCUssCD47GIivG7B0dk/OzhyspPZ/uzFu/VarXk5+ebfoTl5eUOKWiZ43vyJM03bKD5xo34Hz1q2q5v0YKLI0agGzmS452iOJR/hIO5Bzmcd5jDFw/TOqQ1n9/xOTqdjv1H99P/s/6X3r+XDzEBrfC52IGk1jFMjh9Hp+ad2LYthP0HWnP/PEFFRcNfCWov1u4uA+ysPGl9xP9t9hsUBFu2GIz9xx9fituDwaO//Xa47Taoh8ytqtS2Vk8/4E0gGGgthEgC7pZSznbvMBWexB236q4oQjnbn6W7APOJ19p4yaWtWnHunns4N2sWfn/+ifarr2j+1Vf4ZmQQvno14atX0yoqisThw8kbMoSCHn+BytXLAKdPn6a4rJjxbcZzouAEJ/NPcq74HMcLjoDmCIdOwbXt+tOpeSfeeSeC3c2eZNUHy+nUMo4W3i2ICowiJjCGqIAoWgW3Ymi3oQ6N254+szsMsr1Yu7vCMc7cfdZXiMy8X1FaStCuXbB5s8HoZ1epYJOQADffbHg0kIu4LRyt1fMzcBPwmZSye+W2NCllnZQtVB6/e3CX52TLyNjL0nGmv6r9uIJT0pRSErBvH80rLwI+VSaOy0NCyB84kOa33UZu376cNJtkBigsK+Rk/klOFJzgRP4JxrUZR0RABLm5rZj+2VzSA1Za7LZbi26kzUmrHIJk4NsDiQiKICY4hpgQwyMqOIogGYRfoR9B3kHV3p8xy6k+M2Jcueg4c/fpjjtVV0hLS8P7/HmCv/+ekG+/JfjHH9EUXVJ+K+/cGc2kSQZj7+aFVu66kNfK4weQUp40q1tRdwrgCrfgrswJVxShjPsc7c8dpaWdOlcIihISKEpI4Mz8+QSmphKydSsh336L/5EjNP/yS/jyS5ppNLTt0YO8IUPIGzyY0tatQQgCvQPpou1CF63B2/Py8iImJobY2ArWhz5IZv7tnC09S76mgEcWZ3O+7Djdrz5Ov3btTEPIKc5h+8ntVof4z57/ZEybMQBsPLmRj45+RERgBOH+4Wh9tIT7hRPmF0a4XzgJYQlu84jt3Wm4kqnkzN1nneb4Swl798KGDXT4739raEMUdelC3uDB5F57LaWdOxNrtgrcHdRF9pejhv9kZbhHCiF8gbnAAbeMQFGneDpzwlooyFnv05GQkcfw8qKwe3cKu3fnwkMPEV1QQLNvv4XPP4fvviN41y6Cd+0ieskSSqOjKejTh/w+fSjo04eyiAjAcNEpKCgwhaciAyKJDIikvBwe6Necr79uzpqpFbRocSk9NDImmB+n/8ipvFOczjvN6bzTnMo7RVZ+FsezjxMVGGUa4sGLB/n53M8Whx/mF8a3o781GcvB7wympKyElkEtiQyKpGVQS9MjJSaFzuGdrX4U9oxQZmamS2EYZyaKPb7y+fhxQ+hm61ZDGOf0aQACgAo/P/L79CFv8GDyBw1CHxVV7VRPhJvqIrTlqOGfBSwFYoEM4GtgjltGoGhSuOuuoiFkulRdMKZr356sUaMoz8426AVv3UrwTz/hm5mJ7yefEPrJJwAUd+hguhDk9uyJNMvT1mhg1KhcRo3K5cwZQ0kWf38ts2fDuXO+7NzZl5t61RyLebhjYruJ9GzRk/PF57lQcoELJRfILsnmQvEFAr0NZau9KkuR/nL6Fwr1hRbf46Jhi1gwYAEAn/7xKXdvuJuo4CgigyOJCo7Cp8SHUJ9QIgIiGB4zHF+Nb7VqndbKYDsiIg+OfU/cnuN/5ozByG/ZYngcOVJ9f0wMjB4No0dzMSWFrLy8Os3Iqou+HK3Vcx6Y7LZeFU0ad9xV1HbxmDvIzc01ZRGZaNaM3JEjyR05Eioq8P/zT4J27CB4xw6Cfv0V/8OH8T98mPDVq5FeXhR36kRhUhJFSUkUJiWZQkNGsrKyiI7WMmMG7NoFPXteCq1s2eJHYmIJYWE1M5eiA6OJDrRfhlpKyd6793Ku8BxnC87WeCRFXsopP513mqyCLLIKsgySS2bsHn8ptXXmtpmcKjxFhF8ELQNaEuEfQXRgNDGBMbRv1p522nY1GzDDme+Jy9+pigr44w/YsQN+/hl++AH2769+TPPmMGQIDB1qeHTrZvofaSsftrLZ3E1dhLYcndxdCdwnpdRVvg4FnpNSTnfbSGygJncvP+xNRDcUQfmqaaVCryfgt98I/vlngn7+mcDffkOUlVU7viw0lMLERIoSEw0XhIQEuvbpAxjCy7m5hvedk+PFNdcY5gu++iqd8HDXptScmfzUl+s5W3CWrIIszuSfISv//9s78/iqqmvxf1eSCwmQcAkEhCTMUwUBBQqKIKIoohbfs1iHOtSpts+hVuXpe611eLZS6s9+fg7l6UMcKuBUlYfgVBWoWhkUQlDDZIAIhDFCQEKG9f7Y5yY3N3fOzR3I/n4+93PP2efsc9bZ99x19ll7r7XKWVe6jj1H9lBZXcmDox6s33fq21PZfni73+P8pO9PmH3hbNxuN1/t+YoZ78+gV8de9HH3YUDnAfTP7U/fTn3JzMiM6pqCsnevUfAeRf/ZZyb6pTft2sGECUbJn3mm8aRNTw962HhOKY3luZo7uDvMo/QBVPWAiJwckQQWSwSEer2PxRtBRLN+AuDxXSgrK0NdLo6MHMmRkSPhl78kNzOTqo8/JmvNGtqtXUu7tWvJ2L+fnKVLzZiBh759YdgwZPhwDnfpgqtfPw7V9WH06MOo0kjpFxdnceKJ3zdKKBOM4uLisE0jrnQX+Tn55Od4xUPq418JLf3pUoq3FrPj0A52H91N+ffl7Dqyi51HdjIkd0j9ub7e+zWLNixqci5BKMgp4ONrP6awYyEAa3etJcuVRb9O/UhPC66IqamBTZugqAjWrWv49vLLqKewEMaOhTFjzPfo0RE7U8UzpEQ8zhVuj38tMFFVDzjrucBSVT0pZpIEwfb4kz+4V7xpzqwf37wCzXmADB06NGgPDcy8/7q6OlDF9e239Q+BdmvXkrlpE3LsWJPj1rZrx9GBA/m+3wCq+/TiWK9ebHX15ZybJlHYH155ZVPQ8NCBiObeCXTvhdMz3VW5i0+3f8rW77ayef9mNh3YxIY9G9h6cKsxQ01fQ2GPQtxuN2c8ewbLti6jbXpbBncZzJCuQxjaaRBDanI55bt2FGw9YJT7unUmpHFVVVNhs7KMYh87tkHZt2B442QnUI8/XMV/FXAP8KpTNB14SFVfiKmUAWjtiv+4jlwYhFAPu0bROf3gCR3h8e5NT0+ne/fuftvM91yBwkb4MnTo0LBys1ZUVLBz5876Y3qme7rbtzehPouKYO1aDn/yCW1KSnDt2eP3fHUIe7IKaD+sB1W9enGsZ0/2tiug3YDO1OTlUZOXh4bozcby3om0Q+K5l4/VHmP397spyOiCa+9eugM3rX+Q5YeK2e4ny+svVsKTb5nlXR3gnX4wiu4MLjyF9GHD4aSTYNgwGDiQqJ6IxynNUvzOAU4EJgEC/F1VvwxRJWa0dsV/PCR9jpRwH3aBlL8nxINvmOXmJEj3xdP+wcYbPCapSFMQpu3bR+aGDWRu2kSbbdsaPjt2ICEeSDVuNzV5eVR37WoeBp07U5uTQ212NrXZ2dTl5CCdOtFr+HBwu83gZps2jQadI0YVDh82cWq8PwcPNiyXl3OwpIS03bvJ2LMH1549pB861ORQ37WFL/NgfVdY301YX5jJlYf7c6V7AgwZwoKuu7ms+D4A2rnacfIJJzOy+0hG9RjFmIIxDMgd0CRXbmslKhu/iOSo6kHHtLMLmOe1LVdV98deVIsvqRDcK9aEO5fZs1xvTqGhZ9+c+dC+dlZfwklXCKHTMgY8b0YGh3Nz+f600xCR+jcFqa7GtWNH/YNg29/L2bnqAMO6bKdnWhkZe/eSUVFBRkUFmRs3Br3GJrhc5gHQpk3jZc8bRHW1sa37+z52DMKIm+QbhLguI4OaLl2oycujXf/+0K8fHfv149T+/Tm1Xz9jn/fpwXf95gMurr2YVTtWsfW7rXy8/eN6x7eMtAwO/PsBOrTpAEBpRSmFOYWhxwxaGaHeieYBFwCraZyBS5z1vi0kl8WL4z07kT9zQSQPu0BT/QKZgSJJTRlOLJxwQ0urKmVlZfUmn0BvAYGup6SkhGrgWC9j8wfocAW492TwbbryfW4t1NXx2aJjvDBTuXbKV5w1eDMZ+/aRXllJ2qFDpHs+lZVkHT0KFRXm41Hg1dWm5x4NWVnm7cH7k5PTsJyXx06gqnNnqh1lX9uxI6SlRfT2OqnPJCb1MfGN9h7Zy+odq1m9czUrd6ykpq6mXunXaR2jnhpFTV0N43qOY0LPCUzoNYHR+aPJSGvd5qBQiVguEPPOdIaqbouTTBYfkilna6wJ5Bmanp4eVmjmYMTygRkqXSGEH77ac12eaz18+HCjqKOBTEKBHjB5eV5TRtPSeGdNX5YezGVM716cMn03YCwxHuuHx9yV5X2OurqGnrvn27NcVWUqZ2SYNwF/323a1PfMgz0ksyoq2B/De7lLuy6c2/9czu1/bpNt5ZXlZLfNprSilMUbF7N442IA3Jluzul3Dvecfg8jThgR1XlTnXAHd1er6sg4yOOX1m7jh+N3Vk+g8Yu0tDRUtVkD2okcFA90XeEQTMZQA9oA+fkFFBW58ZjwKyoqePzxo7zxRja33LKPadNyIg6SF+kYRbA2j/e9vP277SzftpxlW5fxwTcfsHG/MYGtuH4Fo/ONm/TS0qWICKcWnIor/fh4k4bmz+P/p4iMVtWVEZzwGYyZaLcniqczVvAS0BsoBS7xTBG1BOe4yE7kh0DKsa6ujoKCgiahmcvLyykrKwtbYfiz8ceD5mQvCyc5TjDl36mTmzO8smS73W6WLDFpXzMy2hPObRRtoLBwxlUivZeb+6Ao7FjI5SddzuUnXQ7A5v2beX/L+4zs0dCXvfeje1m2dRk5bXOYOmAql5x4CVP6TyHLlRX2eVKJMN1AOBOj/DeLSJGIrBORohB1ngWm+JTdjZkRNAD4u7NuacUEMru4XC7cbjeDBg1i6NChdOvWjYqKiiaDpRUVFX7rg09O3jDKY4nb7W6UGD5Sgr0tuN1u0gN4mgZqzyVL4MknYfr0hrJHH4VbbvHv8xRMgUcjd7RvP54HUCS/eyj65fbj56N+Xp9TWVUZmz+WwV0Gc7DqIAuKF/CvL/8rXf/Ulctfu5xPtn8S9bmSlXAV/3mYgdxJwIWYnvyFwSqo6jLAd9bPNMATmPw54KKwJbUcl3Tr1q3J1Dt/Nt9oFFEoJVRRUUFJSQnFxcWUlJQ0S5n4w+12U1BQENXUwlDjEN27d/d7XE+id99rycmBX/yiYYJOTQ3MmlXH44/D++9/06ROtAo82IM8GqJ9AEWCiDBz8ky++rev2HzrZmaePZNRPUZReayS+cXz2bBvQ/2+e4/s5fvq74McLTUINZ0zExOZsz+wDpijqjXB6oSgm6ruBFDVnSLSNci5bwRuBOjZs2czTmlJZsJ1T49GEQUb3I1HzHPvY3muL2SeYMIb7Aw23TSca6msrOCJJ/ayZEkOY8ceprraJHN57LG2nHBCFj/8YRvS05t6FIdS4LGeiBDvqcx9O/VlxrgZzBg3gy0HtvDql68ybdC0+u33fngvL657kcuHXs51p1zHyO4jU9JnIOjgroi8BFQDyzG9/q2qelvYBxfpDSzysvFXqKrba/sBVe0U6jh2cNcSjRNbsIHGQPPz4+EUF2zgNxobdjRt46/OwYNpTJ48mCNH0li+/CCdOm2P2vktVoO3yea8OPXFqSzZtKR+fXi34Vx/yvVccdIVdMoKqcriTrSDuyd64vGIyBxgRTPlKBeR7k5vvzuwu5nHs7QSoulJBnubaO4c/2CEUnyxSlYTSuZg1+JvW1ZWHffe+y3fflvI0KF17NyZRm1tLS++mMvw4VVMmdIpLPliOREh2aYyL75iMcW7i5nz+RxeKHqBteVruWXJLdz57p08ef6TXHtyXAIWN5tQir/+7lDVmhi80iwErgYedr7fbO4BLa2DaCMWBlJCsZjj70/BAyFNSLGOvhjNtfir43LBRRcdoVu3hjelXbtczJrVHRFYv/5g/fTQeE7HTNTMrEAM7TqUR6c8ysNnP8ybJW8y54s5vLf5vUa5DTbt30TX9l3Jaevrq5wchDL11AIeNz7BZCM74iyrqga8KhGZD0wEumDSOvwOeAN4GegJbAOmhxP2wZp6LLGmuXP8Tcz8xjORRYS0tLSAjmeRmCYiUa6B4grVB4IL4A8Qjhls3750nnuuC0eOpHH//Xvre+ALF3Zk/PhDuN21LeobkQhTTzQPtrKDZeRn59fb+yfMncDa8rXccMoN3DbmtvrQ0/Gm2UHaEolV/JaWINqeazhOVP4INylKNA8l3+if4dQLdP2hgs6tW5fO9On96dy5mvfeK8Hlap4iDvY7BJMlkiQzkcjSXDNc5bFKLph3AUu3mpwL6ZLOJUMu4Y5T72jkOxAPmuvAZbEcd0Rri45mKmEkJqRogsu53W7Ky8ubKP5QzmCRmsGqq6sRSWfcuEP07VuF57Kqqqp5/32T1CrcJDEQ2lEs3nGqYpHovEObDnx0zUes2rGKRz59hFfWv8L84vnML57PxN4TeeqCpxjQeUBLiB82EfxEFosFgg+apqWlheWXEM3xQw08R1PPny9DMN8K07M/yuzZW7nzzl3121es6MjkyTB5clARmxBqnn64fh7BricSYjl9dFSPUcy/eD5bbtvCr8f+muw22azasYq89nkRHyvWWMVvsURIsN5mXV0dIlLvWetyuSK2f0frBBVpvUBesQD5+fn19byvwVsRe3r2IkLbtrn07NlY8VdVQWlp4/P5KuVQitbjAZ3m9RqRFuCVIhZevrF2QAPo2bEnj5z7CNtv387CSxfizjT3QlVNFdMWTGPxxsVxH7C2it9iiRB/vVBv6urq6mMNDRo0KGJzUrS93FB5A3wJZdbwhMvwvgaPIvZ9KFx5ZXs2b4bbvLx8XnoJ+vWDe+4JrJTDDT3hLWdtba1fhR4LL99I2z4SOmZ25Mw+ZwKmPWa+M5OFJQs5f975jH16LB9+82GzzxEu1sZvsURIqCQtELldONjxgw08B8sUFmrAOlqzRqCxgYyMxjlTvvkG0tNNNkSPUj56VEhLgzZttD76qm/Se19FG67dPRZmmngkOvf8ZlMLpnKo6hBzSuawYucKJj1v8gw8eOaDnFZ4WszO5w87q8diaSbxnnniTXOmO8ZjquTOndCpE2zaZNpo7twuPPdcZ+66axfnn29y6/pGYfVVtOG2b7J5+QbCV87D1YeZt3kez254loPVBwH4zfjf8OCkB5t9rkCzeqypx2JpJi1hFw6X5vRyW9Ks4aF7d8jMbGiLVavasW+fi+xsM/vI5XKRnW3MSgUFBYAJOe09MBtu+8bjemKB72/T3tWeGwbfwJIpS/jthN/SoU0HzhtwXovKYBW/xdJMEqlwmvPQCWSvbwlHLE8bPf74NubO3cLpp1fWt9GMGTB+fDVvv73P78BsuO0bz+tpDoF+m87tO/PAmQ/w7a+/bXFTj7XxWyzNJB524UA0N5ZNKF+GWIVn8G6jUaOO1B8rO9vNK6/A9u0ubr7Zvx3fY6YJR45USFgU6jeLR5gHq/gtlhiQKIXTkg+dWIeuDtRGxcUwe/Z2hgw5Wl/2X//VnfR0uO66PQwalBoKPVwS2VHwYBW/xZLitJRSjIUXazjk5MC0aUfwmL4rKtJ57bVO1NUJ110X2+Q4yUKiH2RW8VssSUy8I2F6E88kKN7mD7e7lgULtrBmTTsGDcqsnwXzhz/kM2ZMW268sR2ZmTEXoVVhFb/FkqTEK0tYIOIZJ8fX/DF0aC1jxyoVFRWoKps2tWXevE68/nodP/rRd/Tu3THmMrQmrOK3WJKUeJlaAhHvJCi+5o+SkpL6c/fqdYzf/76M/fvTqao6CHRE1XgFX3wxjB7dIiIdt1jFb7EkKfHON+tLogchva/T5VIuvLDCKTdlH30EM2fCs8/Ctm0NieQtobGK32JJUuIdktgfiRyEDHX9AwfCXXcZJzGP0q+uhieegKuugtzceEqbWlgHLoslSUkVT9SWItT15+fDH/8It9/esP2118z6uefGU9LUwyp+iyVJSRVP1JYimusvLIRzzoEbbmgoO3gQ3n4b6upaWuLUwZp6LJYkJtHzvRNNpNc/bhy88w54j4nPnQu/+hVcfbUZD7DYHr/FYjkO8bYQZWdDQQFcdFFD2Z49ZkC4tWIVv8ViOa659lrYsgUuvLCh7NFHoW9f+POfEydXIrGK32KxHPe4XCYpjIdDh8xbwZgxDWX79sGxY/GXLRFYxW+xWFodjz0GZWUwdmxD2V13Qa9eZozgeMcqfovF0irp1q1hLKC2Ftatg/JyYwLyUFWVGNlaGqv4LRZLqyc9HVasgM8/hwEDGsovvhgmTYKSksTJ1hLY6ZwWi8WC6f2PGNGwvn8/LF9u7P6dOzeUqzaeNZSK2B6/xWKx+CE310z5fPNN6NLFlKnC2Wcbv4ADBxIrX3Owit9isVgC0LGj8QT2UFQEH3wAf/0rKZ0TwCp+i8ViCZPhw+GLL+CppyAry5TV1MAFF8Azz5jlVMDa+C0WiyUCRoxoPBawaBG89RZ8/TVcc03CxIqIhPT4RWSKiJSIyCYRuTsRMlgsFkssOO88eP55+MMfIM3RqJWVcP31sGpVYmULRNx7/CKSDjwBTAbKgJUislBVv4y3LBaLxdJc2raFK69sXPb88zBnDnz5JXzySWLkCkYievw/BDap6hZVPQYsAKYlQA6LxWJpEaZOhTvugLu97Bm7dsGsWckxGygRNv58YLvXehkwxncnEbkRuBGgZ8+e8ZHMYrFYYkDv3vCnPzUumz0b7r/fmH9eeikhYtWTiB6/P9cHbVKg+pSqjlLVUXl5eXEQy2KxWFqO8eNh8mT45S8byjZvbpo/IB4kQvGXAYVe6wXAjgTIYbFYLHHjrLPg3XfhjDMaymbNgilT4N574ytLIhT/SmCAiPQRkTbApcDCBMhhsVgsCeUHPzBJYi67rKFs40bYvj1wnVgQd8WvqjXAzcA7wFfAy6q6Pt5yWCwWS6K57TYoLYUTT2womzHDOIO1JAlx4FLVxcDiRJzbYrFYkgnvBDF1dSZV5E03tew5reeuxWKxJAlpacYHoMXP0/KnsFgsFksyYRW/xWKxtDKs4rdYLJZWhlX8FovF0sqwit9isVhaGVbxWywWSyvDKn6LxWJpZVjFb7FYLK0M0XiHhYsCEdkDHAb2JlqWMOiClTOWpIKcqSAjWDljTSrI2UtVm4Q3TgnFDyAiq1R1VKLlCIWVM7akgpypICNYOWNNqsjpD2vqsVgsllaGVfwWi8XSykglxf9UogUIEytnbEkFOVNBRrByxppUkbMJKWPjt1gsFktsSKUev8VisVhigFX8FovF0spIesUvIlNEpERENonI3YmWJxAiUioi60RkjYisSrQ8HkTkGRHZLSLFXmW5IvKeiGx0vjslUkZHJn9y3ici3zptukZEpiZSRkemQhH5UES+EpH1InKbU55UbRpEzqRqUxHJFJEVIrLWkfN+p7yPiHzmtOdLTn7uZJTzWRH5xqs9RyRSznBJahu/iKQDG4DJQBkmUftlqvplQgXzg4iUAqNUNakcOkRkAlAJPK+qQ52yPwL7VfVh52HaSVX/PQnlvA+oVNU/JVI2b0SkO9BdVT8XkWxgNXARcA1J1KZB5LyEJGpTERGgvapWiogL+AdwG/Br4G+qukBEZgNrVfUvSSjnTcAiVX01UbJFQ7L3+H8IbFLVLap6DFgATEuwTCmFqi4D9vsUTwOec5afwyiEhBJAzqRDVXeq6ufO8iHgKyCfJGvTIHImFWqodFZdzkeBSYBHmSZDewaSMyVJdsWfD2z3Wi8jCW9eBwXeFZHVInJjooUJQTdV3QlGQQBdEyxPMG4WkSLHFJRwk5Q3ItIbOBn4jCRuUx85IcnaVETSRWQNsBt4D9gMVKhqjbNLUvzvfeVUVU97PuS056Mi0jaBIoZNsit+8VOKssoeAAAJFklEQVSWrE/Zcap6CnAe8G+O6cLSPP4C9ANGADuBRxIrTgMi0gF4DfiVqh5MtDyB8CNn0rWpqtaq6gigAPOW/wN/u8VXKj8C+MgpIkOBe4DBwGggF0ioyTRckl3xlwGFXusFwI4EyRIUVd3hfO8GXsfcwMlKuWMD9tiCdydYHr+oarnzZ6sDniZJ2tSx8b4GvKiqf3OKk65N/cmZrG0KoKoVwEfAWMAtIhnOpqT633vJOcUxqamqVgFzSaL2DEayK/6VwABnhL8NcCmwMMEyNUFE2jsDaIhIe+AcoDh4rYSyELjaWb4aeDOBsgTEo0gd/oUkaFNnkG8O8JWq/j+vTUnVpoHkTLY2FZE8EXE7y1nA2ZjxiA+BHzu7JUN7+pPza6+HvWDGIRJ+j4ZDUs/qAXCmm/0ZSAeeUdWHEixSE0SkL6aXD5ABzEsWOUVkPjARE0K2HPgd8AbwMtAT2AZMV9WEDqwGkHMixiShQCnwc48dPVGIyOnAcmAdUOcU/wfGfp40bRpEzstIojYVkWGYwdt0TEf0ZVV9wPlPLcCYT74Afur0qpNNzg+APIxZeg1wk9cgcNKS9IrfYrFYLLEl2U09FovFYokxVvFbLBZLK8MqfovFYmllWMVvsVgsrQyr+C0Wi6WVYRV/iuDMI/6HiBSLyEVe5W+KSI8Ade4TkTvjJ2VwROQ/YrlfM2WZ77jZ3+5TfpGInOi1/pGIJG1CbRHpLV4RTYPsc7nX+igR+f8xOn+tE5Wyh7NeKiJdfPbpJiKLnMiWX4rIYhE5ySui5X6vCJfve9W7XUSOikhHZ/1crzqVYqL2rhGR50VkvHPslJhHn2is4k8dLsPMIz4VuAtARC4EPvd4DScKLw/LUISr0FtU8YvICcBpqjpMVR/12XwRcKKfaqlMb6Be8avqKlW9NUbH/l5VR4S4Bx/AxLYZrqonAner6jqn3giM89tdzvrZXvUuwzhx/osj9ztedVYBVzjrV6nqciDhYbtTBav4U4dqIAtoC9Q5yvZXwKxwKovICBH5p9PLfV1EOolIVxFZ7WwfLiIqIj2d9c0i0s5503hNRFY6n3HO9vtE5CkReRd43udc3UVkmdMbK3Z6Yw8DWU7Zi85+b4gJardenMB2vvv59mhF5E4x4ZoRkVudXl6RiCzwc82ZIjJXTJ6EL0TkTGfTu0BX5xzjvfY/DfgRMMvZ1s/ZNF1MLPYNnv3FBOya5bRJkYj83M/5e4vI1yLynLPPqyLSztl2liPTOjHB0to65aUiMtM53woR6e+UPysiP/Y6dhMnIed8y0Xkc+dzmrPpYWC8c023i8hEEVnk1Ml1foci5/4Y5vX7PiPmjWeLiDTnQdEdE34FAFUtClXBafsOwG8wDwBLLFFV+0mBD9AReAvT0zkLuBW4OkSd+4A7neUi4Axn+QHgz87yeiAHuBnTu7oC6AV86myfB5zuLPfEhADwHHs1kOXnvHcA/+kspwPZznKlz365zncWxtW9s+9+mN5qsdf6ncB9zvIOoK2z7A4gx1xneTDGozbT95g+dZ4Ffuy1/hHwiLM8FXjfWb4R+I2z3Nb5Xfr4HKs3xkN2nLP+jCN/Jibq7ECn/HlMEDUw3rSetrsKE+vdn1yVvu0DtAMyneUBwCpneaLnOL7rwGPA75zlScAar9/3E+faugD7AJef9vL9TUuBLj5l5wIVmDAM/wn0CNbmTtlvgN9iOqelQFef7R9h8l/4trff39V+Gn9sjz9FUNXvVPV8VR0FfA5cALwmIk87PclTA9V1bKRuVV3qFD0HeKKHfgKMc9Z/73yPx7j7g4lJ8riYcLQLgRxx4hIBC1X1ez+nXAn8zOmZn6QmHrw/bhWRtcA/McH4BgRvhSYUAS+KyE+BGj/bTwdeAFDVr4GtwMAIzwHgCcS2GqNcwMRjusppl8+AzviXf7uqfuws/9WRaRDwjapucMq9fw+A+V7fAX9XP7iAp0VkHfAK4ZmsvNvoA6Czx6YOvKWqVWqSC+0GukUgSz2q+g7QFxMUbjDwhYjkhah2KbBATTC5vwHTozm3xT9W8acm9wIPYV6BVwPXYpR2NCzHKPpemEBYwzHKYJmzPQ04VR3bqqrmeynyw/4OqCapygTgW+AFEbnKdx8RmYh5qJyqqsMx8Vgy/Ryuhsb3qfc+5wNPACOB1X7GGvyF9Y4GT4yYWkwsJs+xb/Fqlz6q+q6fur4xUTQMudTPcn07iIgA/lIR3o6JczQcGBVgH1+ChT73jo3jfe0Ro6r7VXWeql6J6RgEDFvumJsGAO+JyWx3KdbcE1Os4k8xRGQA5lV5KebVvg7zR/WnNAHztgAc8LJnXwl4ev/LgJ8CG53e1X6MScPTS30XYwbynD9kTlER6QXsVtWnMREiT3E2VYsJFQzGdHVAVY+IyGBMKF787FeOscd3duzgFzjnSAMKVfVDYAbgxtiEvVmGMV0hIgMxpqqSEOIfArJD7APwDvALj5wiMlBMZFZfenq9jV2GSdn3NdDbY7+n8e8B8BOv70+d5VLMAw5Mti8XTekI7HR+xysxZrZQ1+TdRhOBvRrj/AIiMslrbCMbkw9gW5Aql2HMeb2dTw8g37mvLDEg6ie4JWE8hLGTgjEFvIHJ/XlviHpXA7OdP+AW4GcAqlpqOpD1Pfx/AAWqesBZvxV4QkSKMPfLMkye0WBMBO4SkWpMHl1Pj/8poEhEPse8pdzkHLcEY+7Bdz9VvUJEHsCYU77BKE0wSu2vjllCgEfVxEn35knnmtdheszXqGqVc72BWIAxl9xKQ1hgf/wPxuzzudMD34P/9IBfAVeLyH8DG4G/qOpREfkZ8IrzlrISmO1Vp62IfIbpmHl6uk8Db4rICuDv+H/behJj/puOsad79ikCahyz2rOYtysP9wFznd/hCA2hpZtDkYh4IoK+jEn48riIeN5a/kdVVwapfykmoZE3rzvlM2MgX6vHRue0WFoIMSkPF6mTPD7MOqWYQcu9LSRWTBGRSlX1fdNKCNG0d2vFmnosFktzOCheDlyJwjFj/i+QEg/MRGN7/BaLxdLKsD1+i8ViaWVYxW+xWCytDKv4LRaLpZVhFb/FYrG0Mqzit1gsllbG/wFh2riKN2MzdQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X = df[['LSTAT']].values\n", "y = df['MEDV'].values\n", "\n", "regr = LinearRegression()\n", "\n", "# create quadratic features\n", "quadratic = PolynomialFeatures(degree=2)\n", "cubic = PolynomialFeatures(degree=3)\n", "X_quad = quadratic.fit_transform(X)\n", "X_cubic = cubic.fit_transform(X)\n", "\n", "# fit features\n", "X_fit = np.arange(X.min(), X.max(), 1)[:, np.newaxis]\n", "\n", "regr = regr.fit(X, y)\n", "y_lin_fit = regr.predict(X_fit)\n", "linear_r2 = r2_score(y, regr.predict(X))\n", "\n", "regr = regr.fit(X_quad, y)\n", "y_quad_fit = regr.predict(quadratic.fit_transform(X_fit))\n", "quadratic_r2 = r2_score(y, regr.predict(X_quad))\n", "\n", "regr = regr.fit(X_cubic, y)\n", "y_cubic_fit = regr.predict(cubic.fit_transform(X_fit))\n", "cubic_r2 = r2_score(y, regr.predict(X_cubic))\n", "\n", "\n", "# plot results\n", "plt.scatter(X, y, label='Training points', color='lightgray')\n", "\n", "plt.plot(X_fit, y_lin_fit, \n", " label='Linear (d=1), $R^2=%.2f$' % linear_r2, \n", " color='blue', \n", " lw=2, \n", " linestyle=':')\n", "\n", "plt.plot(X_fit, y_quad_fit, \n", " label='Quadratic (d=2), $R^2=%.2f$' % quadratic_r2,\n", " color='red', \n", " lw=2,\n", " linestyle='-')\n", "\n", "plt.plot(X_fit, y_cubic_fit, \n", " label='Cubic (d=3), $R^2=%.2f$' % cubic_r2,\n", " color='green', \n", " lw=2, \n", " linestyle='--')\n", "\n", "plt.xlabel('% lower status of the population [LSTAT]')\n", "plt.ylabel('Price in $1000s [MEDV]')\n", "plt.legend(loc='upper right')\n", "\n", "#plt.savefig('images/10_12.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Transforming the dataset:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X = df[['LSTAT']].values\n", "y = df['MEDV'].values\n", "\n", "# transform features\n", "X_log = np.log(X)\n", "y_sqrt = np.sqrt(y)\n", "\n", "# fit features\n", "X_fit = np.arange(X_log.min()-1, X_log.max()+1, 1)[:, np.newaxis]\n", "\n", "regr = regr.fit(X_log, y_sqrt)\n", "y_lin_fit = regr.predict(X_fit)\n", "linear_r2 = r2_score(y_sqrt, regr.predict(X_log))\n", "\n", "# plot results\n", "plt.scatter(X_log, y_sqrt, label='Training points', color='lightgray')\n", "\n", "plt.plot(X_fit, y_lin_fit, \n", " label='Linear (d=1), $R^2=%.2f$' % linear_r2, \n", " color='blue', \n", " lw=2)\n", "\n", "plt.xlabel('log(% lower status of the population [LSTAT])')\n", "plt.ylabel('$\\sqrt{Price \\; in \\; \\$1000s \\; [MEDV]}$')\n", "plt.legend(loc='lower left')\n", "\n", "plt.tight_layout()\n", "#plt.savefig('images/10_13.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Dealing with nonlinear relationships using random forests" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Decision tree regression" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.tree import DecisionTreeRegressor\n", "\n", "X = df[['LSTAT']].values\n", "y = df['MEDV'].values\n", "\n", "tree = DecisionTreeRegressor(max_depth=3)\n", "tree.fit(X, y)\n", "\n", "sort_idx = X.flatten().argsort()\n", "\n", "lin_regplot(X[sort_idx], y[sort_idx], tree)\n", "plt.xlabel('% lower status of the population [LSTAT]')\n", "plt.ylabel('Price in $1000s [MEDV]')\n", "#plt.savefig('images/10_14.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Random forest regression" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "X = df.iloc[:, :-1].values\n", "y = df['MEDV'].values\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " X, y, test_size=0.4, random_state=1)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MSE train: 1.641, test: 11.056\n", "R^2 train: 0.979, test: 0.878\n" ] } ], "source": [ "from sklearn.ensemble import RandomForestRegressor\n", "\n", "forest = RandomForestRegressor(n_estimators=1000, \n", " criterion='mse', \n", " random_state=1, \n", " n_jobs=-1)\n", "forest.fit(X_train, y_train)\n", "y_train_pred = forest.predict(X_train)\n", "y_test_pred = forest.predict(X_test)\n", "\n", "print('MSE train: %.3f, test: %.3f' % (\n", " mean_squared_error(y_train, y_train_pred),\n", " mean_squared_error(y_test, y_test_pred)))\n", "print('R^2 train: %.3f, test: %.3f' % (\n", " r2_score(y_train, y_train_pred),\n", " r2_score(y_test, y_test_pred)))" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(y_train_pred, \n", " y_train_pred - y_train, \n", " c='steelblue',\n", " edgecolor='white',\n", " marker='o', \n", " s=35,\n", " alpha=0.9,\n", " label='Training data')\n", "plt.scatter(y_test_pred, \n", " y_test_pred - y_test, \n", " c='limegreen',\n", " edgecolor='white',\n", " marker='s', \n", " s=35,\n", " alpha=0.9,\n", " label='Test data')\n", "\n", "plt.xlabel('Predicted values')\n", "plt.ylabel('Residuals')\n", "plt.legend(loc='upper left')\n", "plt.hlines(y=0, xmin=-10, xmax=50, lw=2, color='black')\n", "plt.xlim([-10, 50])\n", "plt.tight_layout()\n", "\n", "#plt.savefig('images/10_15.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Summary" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "Readers may ignore the next cell." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[NbConvertApp] Converting notebook ch10.ipynb to script\n", "[NbConvertApp] Writing 18672 bytes to ch10.py\n" ] } ], "source": [ "! python ../.convert_notebook_to_script.py --input ch10.ipynb --output ch10.py" ] } ], "metadata": { "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": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 4 }