{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# ICS 104 - Introduction to Programming in Python and C\n", "## Overview of C - Lab 1 " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "# Lab Learning Outcomes\n", "- To properly use data types in C.\n", "- To write assignment statements in C.\n", "- To evaluate arithmetic expressions in C." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Online C Compilers\n", "\n", "https://www.onlinegdb.com/online_c_compiler\n", "\n", "https://www.codechef.com/ide" ] }, { "attachments": { "priority.png": { "image/png": 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9T32lENeoWDxZ/YmLjK5mcT4nCwUbEQ32PAURwHbsDQZnn1I9T30JGRRPPlg7EUmLRzD7Mmdzk3hqyGot01rTJTuWldRDjvj4Jif4ckiJz1PQwPj5Sl5IPV1WPGKDymbyH29vvZ+Kd6CJuzG8zisUT+b74ruUTl8P29l2DgzlswsR9qN1p6/diSzVc4mnoDPM3NszuTFKPOVLIa5R/qK8UEbvUu15tQGJQ11Op3XT6HTxtvrjdz1dPL0oXuMIlCQkI57iE7GFmRm4q3NXcjbiHkziqSGrtUxrTZfsWFZSD82D2yY3BU0a279Mg0EvYD/LybdDbLR4Ovf675bYRH1ODbNoUJPZdHeazTBHnHlRBM6GmT8tkmwOrSGnVsBPhkaFZF7JPNFm8vf5StNiP/G4mwTh0MfZstGihz84zBfoucDPzBuzxebx2eUyuRF0B/ZdzqLdVwrJGmVT5Dj7zDI5WWSc50jFg5C9/zhLga7ZtrZCsIu9eriEdQuxOnHxAmqjk1tfI5OQoERYjiY37URs4bIXzCsrSs4ixK49j+JJPDVktZZpremSHcsK66HN3GY7ZA1MvM5Txm2cPVh+wSEaZ7qxcTpFK/08XRx3Tm7RoORCSk+XYTVrO3E85/HZGksUEJQORhBDLkTENpsxwXbuSkYvMFw3aD69UrRsDyJvSx/ZiJU/wP+MBxOpHrg3WAqrJDcKLxeXQl+NYsfk6esVmPqK7MmtsBV/FdEW5YrXT7LFnIKFwfyqS6hUDIHaN5OQIMlBFtmJpvN8HTDFz135WQXb2kniqR2rtUxrTZfsWLaHengsl1tZ3pLyTrYTk3hqyGot01rTJTuW7aEeSjzVZBJPezaJp4as1jKtNV2yY9nm9TC5ErfsoGaO1ZvHRJY0iaeGrNYyrTVdsmPZtvVw0JtHdiALPMn2/Im3Zk3iqSGrtUxrTZfsWKZ6KJO1YxJPDVmtZVprumTHMtVDmawdk3hqyGot01rTJTuWqR7KZO2YxFNDVmuZ1pou2bFM9VAma8cknhqyWsu01nTJjmWqhzJZOybx1JDVWqa1pkt2LBtVD//8/Hz/7l1+fe0NjZ/smDbJa+y5397cTFubCrkXfIpOJlvNJJ4aslrLtNZ0yY5l5fWQ39Doa/UhCIJvzq9v/AbfNPE09lz/ybaxxg/kST/J1jeJp4as1jKtNV2yY1lhPeSX0fr6nLD3mxcvjrVKONTSvAsRBR9lyxu/FSj9JFvZJJ4aslrLtNZ0yY5lhfXQf+s+No55HWtdRH4Qd67QKB9HnZLPUplsCZN4ashqLdNa0yU7lpXUQ35zIyM1vr254erS/3x3t3mKSuz+3bt5pR4SPvaO5kDhbh3IZFWaxFNDVmuZ1pou2bGspB7++vXrzGH/+vCAA57OEiqpBqC9/unlS+yik7V9g6Vv+9NZWPzj7S12ffPiBQIPwsQVba+dhWN+c3+PoEwS/fn5mTHnJexIHBZ8RSQ4l7EKvhjDnxyaRASglmyYkpExkqfbRoseLnrSF2lk65rEU0NWa5nWmi7ZsaykHkJVZD71apqDnU8UUsEBlAiQCwjH5ELf9vt376CKGCb+xd8w009QOeZ9xSvyREgxSiVTJ9AruAQkFB20sQvHcBdPtCODc+147wLPSDI0fpLP+3hRG/FvE23BqJyPgG3RN3Rla5rEU0NWa5nWmi7ZsaykHgZCwRvkhe2i3w8ODvygvQrhRP3MdvbHQD/Z6XSooibjXn8WrmgaJZBE0CU2jEi5Y7uCI+MtvJAXgsF0wox4ekp50CPkeEyTXVab1wFZOybx1JDVWqa1pkt2LBush3Evizds95KCPS7BUBTEDZQENFAgqpLbk95I1GRPF4nTF9VYEj1dhvMYQrl4srRYj1eQA3nxZAmxzEFosYtVfJZMtqhJPDVktZZpremSHcuuEU/cFQOlEugkKKRvb27oouR3xduTAshExijxxOEzhI+rBMs4lYgnusmz8wkhwIJ8y4unp/O4JOzpLOD4R2AST7KVTeKpIau1TGtNl+xYds2wXeDlTeNQlB93M4P+SC4H5bdTxASnYxcXAuDeYDVOkzVeAHFhqsnDdnZdjkLGcS4RTxxwRFqgwALtlTlLJlvOJJ4aslrLtNZ0yY5lhQ7jcccJdEayN4UyhZ7a3OL9pqknMtvpbBSEbLPq2Bvkl5fEFhNwXgAxGibCpoknnuWd2X2+DYonZh0d3vsyXw7jsjVN4qkhq7VMa02X7FhWUg/jpQo49Sy5qhNkDQfvcBYlDkWMzXozYdS3nUsJ8HQOvXm1xMhwph7XFwh2UTCZzPrD4yNXFjidp7+x14qjeOwQYp+QP9cbO72CUUhTeF4g8nT84RdW4IWS6xEwo7ROpmxNk3hqyGot01rTJTuWldTDeJFM7+Hkj4y9oJ4uHVf8CRFj2qJv+9PZ25q7uM5ToF2gRegA7s+KV1eioMGR/JgxRwYZFEfiTLskV2aiQf0E+iZIo2URO5ni4Tm/zkIQ8kmLZMrWNYmnhqzWMq01XbJjWWE91LdEphkUUrzwlbJUtpVJPDVktZZpremSHcsK62H+w8CyPvunly+DhTFptuTm5jGUNWUSTw1ZrWVaa7pkx7LyeggR8M93d2rvB40eUd+8ePHtzU2y24mOXMpJ2fom8dSQ1VqmtaZLdiwbVQ/R3tN/aPNo79nYS+eXPveG3IvXC5XJ1rGceBJCCCGEEDG94qkTdVFrmdaaLnEsVA+FaAeJp4aotUxrTZc4FqqHQrSDxFND1FqmtaZLHAvVQyHaQeKpIWot01rTJY6F6qEQ7bC2eLq7u3vx4sWnT58Kj394eHj58uWbN2+WiMwsvHv3Dnn1+Ph4ZTgfPnxAztzf388SqyS1PtxrTZc4FqqHQrTDdPH00i3DT7Clb5epn1HiCcrp7vwdpeXE04foGwjk9vYWF31+fh4MQeJpc2pNlzgWqodCtMNVPU/QQBAZlBqBzsCum/MHlaB+SiRIHxQ3S/c8UQABRhWRp2iL07UyH87MFVqtD/cJ6UKJz5ixTYGsu/5V4Ur22SG94f2FDOGjGC9gu8oWFBOiNOpew+MX75BjzxJiZa4dtsON2idu2P+Eu/qa+K0jnrrLulZ+C8Xf69evl750BuThVuIJqhHNJDJhrqsvx9h0IVc/fvy4XHyqBxVjq/sCLSsu/eL8LdtdqYSuoB7yadnXYT8ZSA2+o6JWM2cW7cAexVjxhCPvzx8hBhJPYs8sLp6uvAE2FE9MGu78pS/dBxqJeZ8ghWVK2cQX2UN0VpVHEklDupp6KLMpmr2v6PWZecMsJ/PY2ZDCesj7mhLn+o5tCCZfvtRPyJnCvlWorisjsAR8+AzGX/3HYkNWFU/WH+sPw+ODG5NuUiaecBgfOjgy6M3iLobgm0brO8EWnIIDMsNwfeKJG/uC8tv9uXiWWS864uZ9vHAktiBz2AVinXPBSETgNxb8tMMskiXvr2N7aOoTT2gqtu1KXJ+FxBOqB6o9Kv+8wRZyaPFkfpazXJRZEWuI+KEU8+n85bhZojEvhS/eJWkUYiHWE0942uIwSpzgMNwDuI1NHvmhIj5o0ABg1+OZF2dMA7EvgRHAWxfH2jgoY90n2ItW0+9KZkQQMZ7LN7O+oGy7v4f9gD3dwAGvi3/ZmCHVbMh5CaQrdo0PHosMCluCFoud9pky8mksOcxgMkedsgmFkUQmZyqAGAtv5/KZs/NeWuKJJHUGnTgHhQWfObNEY15KxFNhGoVYiFV7nmyj/WR7ZmoASoj6wJ7IfND4HqNAUuCn73RhgCYmeDAPoE9AX0L4OON16VfBfiM7pS+oWOKcvvb0wt9BzxCvxVMQDpMWD1DG75TcEognZE6hIBj7oAwKa7cURvLmzNKRaQcOGG3SkyfxZMSPWfN8ygsLPpf2eYMPiqfCNAqxHPOIpwx58RTrg+C26ZMUJiBwC3kxwQe6XaKvTzuGZ9noGIKFAvOipC+oYDtVVzA4GHR6nVKjbCXiieLSKwCECfE0mDq7buGRpCbxxOzNtPTsGTVPL3O5hRzHWewctaDw0zpd8C/aIRxDp13rXvVOuziFKt93kQZevZTsrCrB2DTiYHNXOfbto+2HsxGynciI4WAkKugfQny4aMjp65FunoXL8SzWWHuXiEe92auaz3nvP4c//AAiO2LZTWtTXJHSeJYJjuTe06XXthHxxBpltcInOV4R5nQenw1cIJID+vFzO3jyWJEhq/PPT8SQLgfeFYGh9c2bY/WLIx8sdoPDrNx9rShMoxCLctq254mn+2clDzCd0Scp7OaM70DC1mKseBpM6aB4isclu0v3uKUiebeXiKcuyjG0auV+J4VlatQknjha2tfc8kXWZuGZq75vYyhZ2LV5OrdkqGN+nTAOLnMA2g/m+kDYHrCSeCXHbgCE4E/nLlZydqZycRA/Ssuo2jj16WuNTgJ5bVlBpz1eKz6LGh3bmSielbydMw5Vvrra8iXW52rzqiiwcLA5U3u1xxzDLkbY8rN68cTSsYQzc4IXgMxjdvC5F0eDVzTdzPeEU3bStIljXJTTCFh5/O3jY8I7yBLFc4MuYcY/XytmmZAkxGRO24qnuOcfd0vs89Qnnrh38Nm9pnhKhhPk0jXiiU0ps4gdUeUTdloWT5lm3tpm25IcimVWJ5c5oAiIB5d9aWIvQ6AW8eFTOcWvED4oizn+8MEG2ijQSZRT/ni2Q/5acZ+cORpS3/gTg9o42AMUvEsksyW4Oi8UDOUH94vv3tgPs4snziyxn+bVkOmqz2xMRjiIBmtyoFxj4ZJMkfXF4hQ7OI4J1ZjdKfYCHCcqrhXxPSLxJLZiY/HUXe4Ktg1sRXwLlxdPvLEzi5psJZ6C9jXoLrpGPHXuOcLRosGkGS2Lp/gBTeKRUM4jC16FqRL6FojyHSokuC84dRGF9SZatj7WLsEbBQ/oG5jINyFsCy3OsftdMnxKLg752UY220HkvSNgEnZjBMfHY0+ZrLPIxNetWzyxzgQJZ3b5cplRPPGKsRsAK3/mUZOpokFMArcKEs+5GawV5WkUYiG2F0+4Y23+WuAS0Q2Jp+78TMe5wTPdnjjriyc+aOIJcf7V7UrxxHc1NkujpqBLPPUVn/cTYhdRIJJsWC0Ome1BUKDBizJPx8ZYezGTvUNVvKZGpvXi1eMIk0AFxiKvuwyj+PjTHYoDK/6YeFLnoHjy8UwubjnYTCYfIy2IJz8iHOAzfEbxFNcEQv2amWxRLp6snykfW4knsX8WF0/JNyf7yTHvwQ7hjHgyV1YLhD6G/uAShVEonuKgkkM8wYMGP33Ll3y9y4unIIvMiXIwXR6Jp/hRaytf0DGcI0RxheRLebJ5SC6kRJli4bCWxrcJpQ/dwO1LjvHaieYakvRvozKLXyGCflk2jXHFY/ztMFvfy9+5PCZ2fCkRT8hzXBTHsCtrrHhKFlw74mnw2TWjeOorzcEIl4unLqXgOf0if5bEk9gbV4knDnCcer5tx7dM/207Oz54I8cxby58OGPh8KWH8zi4hQ2MySNrV3iY7zZgn9ap4Pt69m27PufrTFBxr4D5dZqbp2/Y7EkU3PaMg89Jy5zAzaVLKa0SJJ7iWT/cTs2E/OzT8VwZNXmh+NFvLrG2JViczDCPWgSCgkYd6Kuo5maejGHSlTgYs+O1gs6z2I0mObQX+KkE8c+IJz8o300atmtcPA1+aGVG8cSij6dP5geO8wf0raRgr7vJl1KJJ7F/pouneKJsMNHUQ1UUbOmcxgqghgjCCUKwy9k8lNNZasTzhjKPqmTfeDKbkgck49Odb3WbXeyHP/zEq1M0NhGHb46Tcbs1YX3CvkzooybxlOwHzTz0fYZzEfzkU57DEIFqoYK30qGWSraCfSLAlv6KeyJN38euxEGzF4zZJa8Vqx++DAStXZxGMjiHMThxgniKfYf70rI5hTfLoHhiEbNqxQOynG9oP2cUTzamlhyzzuT2KPHUXSbo2UoZce+axJPYP6crh+2uB49F9jZZ5xOeyBt++eEQ4Ok2YWmTsWVa09StUIYAACAASURBVArjyWaerXs8koU66WUWvbx9T8CH84oD3aW/0D/9Ayeq7tL7klS6PD3uDeJ7OfZ6NyNGwK9w5hu5l+cvsAZJo+zmYXETyD6AQIWzVyDOOqQxbqjySxVYt3GQFYwDBeJgM2lrOcaLru3n87dkFvHkZzgyc7iCF7OL67qNmm2XkRc+GjyMBRQ78OVn9Y4STxye7guq76y8eJKEEuuzsXjiR1fi7dgo8ZQhaN0LGVWmNi9mwoVWpiRd5l0UbA/69vAUxhbWPbRSaMaQfKuinJ3ANSS5xbsisYMqzrHMyuY2ama1Heda68jQLHDKI8bTJkZR97BzyzctpnjMg4qD5rZiIVcaDJanD1b8t/hTu8Q1gQFmhhpZhTguzxWqTucxSq7XYF0d/oo2sdGCtVVA2YH95utFIzf5PkySwvvLusmDJp+rTSJRVt+SHfPBxMx4zbDukoeswJkeI/OssJUwzQvC7oj49SCGlS3uC4+rd3cZwrZXZX7c12eFpTpfKwrTKMRCbCmegu+Be5IDVYLPJj7gJpxeXqaniAmXW43C6CVFjB/z5Yp8VvE4shD7TZtysjW3+KyPV6XvClbTYCciI0Cvan+5Z/fZbB84Ght2Bdkag0H7wagG95Gt4s3ExmLIL7lpmGQMDk4OWQaYrxid4tkuIjRcIhjCPkXj8l5emGBiTPgz4yK2CYP1ME5yTPzddJulGPTHZxwn7Cuf+c45lk5QyYM1zZNTRINUe6weBom1uNntFsBF/Etqxag0CrEQpw3Fk71hcJlsG7wr/1hbU9iE4WRLVsIKZboJhema/cPA8eKWTYEKudWHgfdJrffXvOB+sYlBbxzBlGQhds6W4qn7+nteVAbxPG1BOM4yWTl19T7cy9PFEYq5rstenGarqxwTA2q9v2aEfaV9uySexIHYWDyJNam1TMvTxRHPyeozCOpUtj5klUA2qakLqPX+mpHkmsaEM4fWj5IQ05B4aohay3RUurhk15WDd+Yp1aa/xdjvAjVCrffXjNBFj65Ufnp10gNPiD0j8dQQtZbphHTRx27a5WzyvNGUi56ffig8td5f84L6413dOV1OnnPicDQnnv7vma1jsQ21lmmt6RLHQvVQiHZoTjz9rzNbx2Ibai3TWtMljoXqoRDtIPHUELWWaa3pEsdC9VCIdpB4aohay7TWdIljoXooRDtIPDVErWVaa7rEsVA9FKIdJJ4aotYyHbtUQfCtj+UiNggXPp1x3c5FQWxfnrEt/Bxb/HGYNqn1/hJCxEg8NUStZToqXfyAXedWHNhQPx1IPL17946L9Jh4ogzlF5Yknrp67y8hRIzEU0PUWqbl6eL3AW2BY+qnNdc1PoRO6oOfaA0WVeeXXCWeunrvLyFEjMRTQ9RapuXp4up8i0YmA5cH3Orq1yPxlKfW+0sIESPx1BC1lml5ujhOt2hk+nh+fr65uZF4qpha7y8hRIzEU0PUWqaHEE/8Fp7EU8XUen8JIWIknhqi1jItSdcpwn9gywQBpQAxX6jHx0dKn+4sIOg3jX/jT9o9PDxwLw8wV3R/LR84B/JiRcV5bRZO8M3U8vjE9MWQmFd4cm+heEI07u7uLGPx95peZRtS6/0lhIiReGqIWsv0mp4nupB7QfDp0yfOIGOTDwFhUoBaB0KByubm5sYHBUEDwcGzICAYiOmPWHlYOIEcQTg4lyciMjwGG7m3PD4x+RhSBlGo4bpczcHrnhLx9Pz8jGD5k9PxTuu65G9IrfeXECJG4qkhai3Ta8RTUhBQi1iTDxFgYsWOobawzp544t79/b0/JXmheCOkTHAhOkv5jSXxiRmMIbWU7Y27lErEE4+x+YzdOTMlnoQQlSHx1BC1lunS4il5YnAMtMvt7W3m0oXiiaNmXnx0l+4x37E0GJ+YwRjenrGf14gn6yfrzqJN4kkIURkSTw1Ra5luLp7YFZR3Bi8RT9alFJz78eNHbv/06VNJfGJKYugvx6HDCeKpu+g/aDXIpkAF1k2t95cQIkbiqSFqLdPNxVMykIAS8cSfyeRwu0VprHgqiWF3cT/HYdA9HNSbIJ66c1cZtRf+xd/5i1ZDrfeXECJG4qkhai3TzcXTp0+feECmo6VEPFk4setSEIGx4qkkhpzBF/iPTxNPXZMfb6n1/hJCxEg8NUStZbq5eOou3tZxL0vgDDTo80S/7yAcSh9/2FjxNBhDjgx6X6XJPk9+gQPO6QN9saqJWu8vIUSMxFND1Fqm14gnbkTrbl0yaPvjWfqDYoUaAuH4OXrQIsnZdtjFvqVYjnBOnI9Pl5ooN0E85WMYL9nAjihbdCAZ2y4lnmIlKvEkhKgMiaeGqLVMC9NFCXL6eoZ/d5Edt7e3UAB3d3dcPIlb2E9jJ9pomi0fcH9/b1v88pJUDL4jx5y+cQr2Uo5QeSAoL5WoWhAI3cMhRxCUXagwPjH5GFr0kAOIFQ7galIIFscwJvSC8rHFH8wr++AxBRZ+WuQ1bCeEqA+Jp4aotUxL0nWKsBYdusEWmeSQE9fFtr/9WVyUMgiK4XgvHwQVKwYTHxQ9QSC+08ivA24xIeXxicnHEBflLkofLhZqsQ2uy3PjJNDlnEqOV5HDuBCiPiSeGqLWMq01XeJYqB4K0Q4STw1Ra5nWmi5xLFQPhWgHiaeGqLVMa02XOBaqh0K0g8RTQ9RaprWmSxwL1UMh2kHiqSFqLdNa0yWOheqhEO0g8dQQJyGEEELMwd/a1qChXb1xX4PGxdPWUViEWtMljoXqoRDtIPHUELWWaa3pEsdC9VCIdpB4aohay7TWdIljoXooRDtIPDVErWVaa7rEsVA9FKIdJJ4aotYyrTVd4lioHgrRDhJPDVFrmdaaLnEsVA+FaAeJp4aotUxrTZc4FgvVw9/+FiF3P/447qy3b7vvv/9s++GXXz7H6le/+pyiCeDc7777nBXffDMxBCFmROKpIQrLFM+4u7vPTyg+p/A3tuyZWuuqOBaD9ZAyKDbcZVA5EAeZs0aJJ5xCnbEf8YRnCGLFp8oE6fPqVffDD58D+emnL4FgixAbIvHUECVliscTnk18mvP5C8PL4p71U611VRyLwvsLIoC3lW2BMKIgwIvKXLx/XyqeEJ9BEMM//en6SH0RgmPFEwQTzkKK7Cc7n+aKlRATkHhqiJIyxeMbTyWTSng2zf5Yn51a62rMfjoSRExhPcQ95cUTefv2y8a+/qex8CqDFYaje4Pg9WlD8cSz4gjMFSshJiDx1BCF4inAHuu7pda6GtNMQg/JNeIJ8C1lLn1cIp7wjgT9MXjFH39Ma5cJTBNPiGEcgRljJcQEJJ4aYnKZSjzthGYSekiuFE+UCGuKJ7wpDR5jPka7Ek/zxkqICUg8NcQ14um77+aNy5wMpss8c62d8K679vx9//5Lc9Kd2x66fOFfPKk92MWnOb3BfEvA+USc5YS/eVjsJhxHrLA5mXxTWoQtBGvC/dWR0levPjdL2Pvzz1+8c5DGYCyJu5JTCpbOgT1zjXhCXnFj4IFEj6h4hhr9r7E9dj9nffbiyY6kzzXxVSK4EQzcESzl+A7iXgsEt0nJgGNSPPm0BDPp4kjS+SkTKyHWQeKpIaaVKVrKnbdtJeliJ79/yCJd/uUVT2Tz5GXzjyTz2Y3HusE2iYOb5vxrmYOr2CwnHEMpRs8MXit2zsXx5f5k19yU9Lr1IXhx012UE49hQrCdSYAhu+wspAV72QyzObSMXToH9sw14sn0pVcwyHNTFcENiEyjxu16/KVMPLEULByf1YV+UclRM07IpRM34sljBssxFk+oRawA+IPzfONwkhFIbhRiNSSeGmJamfKxe/TZdsl2Inj+2tu/b4TY5FjnE9WSnRIHyy1oV6g2cCL/4OynoAOPVyzP2ytvyr422zdmlD6+9WJ7ZlPlKUP9KUGwi+bAnpkmnvDTq/aYuIyolvxc/XgAzkrBqi7fguI3gQniiUXpY0v3qb4kZNKCmPsIUJoHl5N4EjtE4qkhJpQpn2U7f0LNJZ66lLwIjuGolnXD9ImnZIMUX45dO30kxywCGzVgUSKekpH0x7DhtHnjcbAz5sCxGCuevCEfrFIFxGUU9Hd2qYUJkqVQXlKeuNSosAPJS1XtxdlgWiidA73Fy3lpKPEkdojEU0NMKFM8pvc8YEfWFE+GH1IpFE/xLpweOFTlWaHnaVA8GXRvssXAjEVzYM9M6HmyjpaMgkz21gRbCkX8LOLJOmgDbFy4TwXGaUnqyPitQOJJ7BCJp4YYW6Z4lTxEr8DK4onu0mj1kT8cQCkUTxYaX7WpPEaxE/GE5vPVq885gH9jV6q5cqBvPe7A9sPkYbtTdoWnvmE7n8Pc4lchX0489c0WtPAzgiYpnnwvZkkEMhuFWA2Jp4YYVaZ4HB9COXXriqfA3WTUsJ3t5dBG5oscfexBPHGWOCfTJYNdNAf2zGSHcQ549UmBZM+fd0SDmkd+BjJ0OfFE36nTKdFlOChnk+Jp8EMrEk9ih0g8NUR5maJJK/low05YUzxBN+RdbgcbJHPpQFBj2YN4osONH5oZ2yRfkwN75prZdsxV799t9E3vh1qyD+XGH6Bc1OeJo9XB5/YoqvKhBWnhKXGquXhBJgJ9G4VYDYmnhigsUw6mBM9iziLeJ4Xp4mPa0vX+/Zc2oFw8cYjKB+IHULhxsEGytnOCM1lfQtn3kGx6+9LSnZPjlypIHtNFDV4wGcr6IbpVcmDPXLnOE2tjfOv1Te/Pl/VY8cRv7ibxVcIvjuBvBNuYVzN9Yh1B4XSGhmggdaNm20lCifWReGqIkjLlExAPL65zaBa/aO6HwrrKVHD5IrzoczEnbmHSbL0ca0WsSbORBUoHBsJFdHgKDqDrBpdK8jPy+mKSOSBzYhJzDyqZ68R1CBFzRNVvQWJNCfmyZqeIjdNZHwkDsdUyuZjQ0jmwZ8Z+GDjw9THvMSoJyxzmle8J5jAfJ3PQEBTXNTVYCn6REQvff2HXaq8fhw1ghFHnWWEIaz428qJcxys/AGfrivm02HJr3vx7mi0mHry8JWMlxGpIPDXEYJlywnOf7XYxnsK6ah0taFHYfuAnHsH2t0/s99+n18VGINZDwPddLldI353g+L5nOhq/eUdF2cBwECeDLUJo6zjjX64NzYGSIP7xZChssSaQLvPdpZ1mw7lVDuyBwXqYdIH3vSYm32m/+12iBnZOT8TGDI83BtXbysU0VqYfy+p8oI38XEu7j7L5k044qyVTZJWKxKt12PtDX6yEWAeJp4aotUwPl65gVGJGjuJFtFwObMhq9ZDdV8hAGBSM9T9RGVfWnyfEPpF4aohay/RY6UKDlx9cuybk3fqleZbLgW1ZrR5+/31vNw92STwJsQISTw1Ra5nuP138vOtPP31x9V1ifj7HPnY7tLpCDmzOOvWQDk9JB0Rkb32DoULsE4mnhqi1TPefLu/sMuqDKoX86U+fPT92q5y65XNgD6xTD80xkbMWzCCbMk7fQoh5kXhqiFrLdP/poocvpyO12by1kAOr1cOff/7cy0h3abr/c/aoEGI1JJ4aotYyrTVd4lioHgrRDhJPDVFrmdaaLnEsVA+FaAeJp4aotUxrTZc4FqqHQrSDxFND1FqmtaZLHAvVQyHaQeKpIWot01rTJY6F6qEQ7SDx1BC1lmmt6Tou799vP/nr1auBT+fOjuqhEO0g8dQQtZZpSbqSHwKLTVzP3d32yqm7rBq6Zkxqvb+EEDESTw1Ra5kOpouffPftKD84ap9Htc/iVs/SK1BDr8QfA/7xx22+ZLfyaua13l9CiBiJp4aotUxLxFPQogfiyTbWzc8/LysQIZKSH63Dxq0+A/zTT5+TvM74Xa33lxAiRuKpIWot0xLxFDTeSfEUd5lUxg8/LCieoMy++SbxzTV+i20r8dSdy/q779a4UK33lxAiRuKpIWot0wnpSoqnunn7dlm/rru7z4FDQnn4VZZtxRPV2wqDd7XeX0KIGImnhqi1TOcVT30u5LYFZ/3yy+fGmF9mpWMyd+GP4MNt9KbiZ8ggI0rkGnQGu4hgODE4BXsZ+eReiBU7F4fhb6oW/11eSwVBKhCxQPSMBclEIMGY3fv3X5ST/ySwRZ5mosq2c/AU5/JLt4w8w8HPeACOBdGX/91l5G5pZ6+u3vtLCBEj8dQQtZbpvOKJ3uXJ5haNNJpn6Iwff/zSYCME/EE7Xb51b9BhmS26aSz8mwFSwHzbeTpOefXqb3GzELCXOsm7vZs+Mxd43+UT9zzRCwoWD7eNAlrHdE8As9qigSsyUVBagdBBMrELGxEZJg3nYiOONGkV6DxkBU7hFvYwMYQAnrv0B4lrvb+EEDESTw1Ra5nOPmxHKRA4yqDp9Q0wpYl3hbZxMRshQtPu9QTFTWYMi1LGx4oxMb1FSWGnU0vZJfjTSwTsyosnXgKy40phwdwwkecJxFN38Y6K1QwyHJEhTIt3orIRQMsNCs0gvcliXWfosNb7SwgRI/HUELWW6RI+T3GTj4N9pxHlQhAC+5aoZii2AlcbBpsUGXZ6RsfgRN/1khRPPpK4+qB4moVMfsY52aVyDwf4Ub8gaSRw22KvXhxs7B6+jotbrfeXECJG4qkhai3TJcRT3HijafcON0nxxI4iRochJK1vTQSOZ5UA/WSuVD40GxGDzugbvVqCseKJnXC+3wgyyA8dJsUT9aiF1pe9cRolnoQQ8yLx1BC1lulCs+14DLuO6JXsSYonE0z2t41DlVAibiCbfvjhszyC1GBPTKAwsJ2jVPHCAfsRT90lA9l1xPFKr/aS4qm7JMHEU18fXnn0ZqTW+0sIESPx1BC1lulC4ontN8eScHwwAJcRT5RZ/LuwdSfsScroLaqlwH88Vhj0FqeE8jHclXgyDzD2ogUDcHnxRJmVHKEbG70ZqfX+EkLESDw1RK1lutw6T+aihGY+IDNsR3HD3hScGMyup7JJQn/weJafHR8sBxD7PHnhRQ9rH/PlxJPvRgroE0/+rDiXMsN2JpioNeMFnGLBytFMOYwLIeZC4qkhai3T5cSTDcPFRyblAtWPOXTzKlx6gJ0lkAhoyPtacbucH27D37wK1yvyfkJ+2A4buQRUkMw+8WRxQPjXz7YrXKog6fmUPNF3+xnBcpe2eBX+YJ7j3+TH9Xx/1XLUen8JIWIknhqi1jIdmy7TKMk1gQLY9sdrSFrLTaFj6yr5jhCbk+8tv86TrbfJxY3wr48kQ+PinNhrB7969Vm+MF0QcIwtf3olYetX2eKZFGSnq9d5YuBx/1x3EZSIMyLZp0Hj3iMrI1v3kgsTBLlny2uZxWXKLsAVPlxY6/0lhIiReGqIWst0VLpO0cysfLPKBRtjrOfJVvROdilxbUyqFnp5DwKVYCuSB0tmQ+twl12L64NTfGALfvKA5OWoP+x4MssK413P51l8nJPuXxxbjDHvMY6ZZnLPL+COg2M1zP45fZ5FCDEjEk8NUWuZLpquvlG2pM9Ty/R9GDhPsjuq63cYnwDUrT4MLISYF4mnhqi1TJdLV7Byo0fiKQbKKf7oSgb6PCU7veYSTxyzi7+ItwS13l9CiBiJp4aotUznTRe/rYbmlp+W6xvukXhKcnc3vDoDspSzAnFwnwfYXOLphx/WGLAjtd5fQogYiaeGqLVM502XeYJnGm/7KC/+XXoO1+GAeMroFb/wevBlOo99OvAaZywos9WUU1fv/SWEiJF4aohay3TedNnySEnv4y713ZWlFxA6HO/f96oW9uf5WYExQfZO697DWeuM1hm13l9CiBiJp4aotUxrTZc4FqqHQrSDxFND1FqmtaZLHAvVQyHaQeKpIWot01rTJY6F6qEQ7SDx1BC1lmmt6RLHQvVQiHaQeGqIWsu01nSJY6F6KEQ7SDw1RK1lWmu6xLFQPRSiHSSeGqLWMq01XeJYqB4K0Q4STw1Ra5nWmi5xLFQPhWgHiaeGqLVMa02XOBaqh0K0g8RTQ9RaprWmSxwL1UMh2kHiqSFqLdNa0yWOheqhEO0g8dQQtZZprekSx0L1UIh2kHhqiFrLtNZ0iWOheihEO0g8NUStZVprusSxUD0Uoh0knhqi1jKtNV3iWKgeCtEOEk8NUWuZ1poucSxUD4VoB4mnhqi1TGtNlzgWqodCtIPEU0PUWqa1pkscC9VDIdpB4qkhai3TWtMljoXqoRDtIPHUELWWaa3pEsdC9VCIdpB4aohay7TWdIljoXooRDtIPDVErWVaa7rEsVA9FKIdJJ4aotYyrTVd4lioHgrRDhJPDVFrmdaaLnEsVA+FaAeJp4aotUxrTZc4FqqHQrSDxFND1FqmtaZLHAvVQyHaQeKpIWot01rTJY6F6qEQ7SDx1BC1lmmt6RLHQvVQiHaQeGqIkxBCCCHm4G9ta9DQrt64r0Hj4mnrKCxCrekSx0L1UIh2kHhqiFrLtNZ0iWOheihEO9Qvnv7t3/7t/zj+4Yzf8vvf/37rOK5ENWUaUGu6xLFQPRSiHeoXT2/fvs0PW/7Lv/zL1nFciWrKNKDWdIljoXooRDvUL57++te//v3f/32fcvq7v/u7//mf/9k6jitRTZkG1JoucSxUD4Voh/rFU5ftfGqn26mrq0w9taZLHAvVQyHaoQnx1Nf51FS3U1dXmXrGpuvlmeuv+/DwcH9/f304og42vL9QFW9vbxGBFy9evHnzZqtoxOBGQ5Q+fPhQfsqnT59wW409S4iVaUI8dT2dT011O3VjyhTP35ubGz6L8SB7fn5eNGJXMrauIlGzVO+7u7uPHz+WH88mAZfOSK7Hx0cEe33cxPoMVircVvFT6Hodj+qEOoObFLVxsIKtzFjxhCMReeaMxJPYM62Ip7jzqbVup664TNkxgwf969ev+SzeeXNeki68zjJR3Vn0MEX4iY3YNeGiaKugL8uPp3L6eAYRTnYPICYIc+dSVfRReH/htuIjaJbXElYnaG77yc6nd+/elYiPfd7a7EUbjH9hGoVYglbEUxd1PrXW7dSVlenDGfvJRzOYpjDWoVA8UQii6UIC8di1F9xRvUfGqDE7tJG8NH+ixUJk4oYTbYYag+NS+MxEEbPizXJR9mbF1QYqfLAu4abY53MerzQl4qkkjUIsREPiyXc+Ndjt1JWVaawk+CCbpjDWobCuoqmA4oGCYdcaVdRkUThqzI7tpfU2JRu8N2emRUbsgU3EU1Jn4N2gRHygDu/zOV8ingrTKMRCNCSeOtf51GC3Uze1TG/PzB6ZGSkXT3jgevGEn+uM2VEtZcQT/t55JotBdiKezPMpLyzw5jBjNOZlUDwVplGI5WhLPLHzqc1up25SmeIJS0+dJeIzF9OG7eh6go0T9NPYeXaPj48Z8QQpBuW054FRUcIS4gl1w8/e8H2TVBgBqGms50bSIT12Xfch4296HZ3O/o55gYIY4nbgCwn+ZqwYWt+8Ofxkp1eARdXEE548PBI5YO4EhWkUYlHaEk/dufOpzW6nbmSZ4rFFeQGdsVyUZqFQPM3oMD52nh2dS7zPE36azxN+ej8zcVBmF09U1ag2z2d4P1otIslOmkKfoTgavCJg9UYI1G2Z+onnA5UWe3MZSXojmUTzMeGLhCWK5wb9uIw/Q+bMFYbjb9XCNAqxEM2Jp7/+9a9tdjt1Y8rUnu8keF7vjbF19cWZyZfjnLixZwWz7azjin1g/Bu72CRY6yUOxOziiUPM9hNSIx6rmlc8cRaF1yglU0aYIuvExSl2cBwTqjF7c+B7RTJR/rFD/eQ1nMST2JbmxFPLjC1TvCPa0MCefZnHpuvKRTI5U2/CidRPXDqLW9DMQCexIWHTyC4xLhKhgbxjMa944gzNoMuH96OvfjOKJ14x9r1jR2nmDYopSt5TQUxMivlj4oUJ4vgHXoPlaRRiISSeGmJamVo//OzxmYuV6+pc3UIcs7Cg/OyhYJhPHIJ5xVPQ++vxMmVG8cQBtVgDsWZmngDl4sn6mfKxlXgS+0fiqSGmlakNFswen7lYM27TxuyS3N/fe38yNgb2M9kHIPbMEuLJVr/sY0bxRIESa6DBCJeLp+4ybBdsCYbRJZ7E/pF4aojJZcpvLMwbmRlZs66+O3N9OBwS9Vti8aR78FgsIZ4GB4hnFE9cvCC+0zPaaPCAvpUUbHopVVGgESWexP6ReGqIa8TTnoeQ1qyrs6wpwGWighXG1fN0dOYST1TnHOGKFwrh4gX2c0bxZGNqwRUpqjJej6PEU3eZoMf+bPwR965JPIn9I/HUENPKlG+Ke578NVdd5fox5sEdg9YlKWj4ZC/Xl3juxw2GX/xJPk9HZBbxhBvNepuoD1AnIV9YJznDYNRsu4y88NHgYXRwDGQQpy9kPsM3SjwhLYMf1BsrniShxPpIPDVESZlyOhgeUuxf4UIvO1+FaK66alML+1RL35jd6UJJRiFvk2MxwWy7uANA7JzCemirFgVNPlebRB0wYW0ru3p85bSFtoMay/lxkFmoaZkeI/vst62EaQsvcR2m7uItnne94gIH8fxQc5f0d409YQg/7uuzwlLtz2KKuA7nqDQKsRASTw1RUqacTs/HNB9M+58wP1dd5fAEUt3n3tE3ZsdXc6jMwYc4ew4yeyng9MXTIzJYD+N1vWMClyOujclbErUinmHgsXqLikS/7LzLFLUae7b8Ff2a5rh6XsQHcQiW0Y/jZtoxAFfEzRVnUTzrcFQahVgIiaeGqLVM500Xvx0x4US+Rs8YE3Esar2/5gVCDXcKe5veOKCENE4tDoTEU0PUWqbzpgvP8WnDlNO+9CKqodb7a0YyH8DGLokncSAknhqi1jKdMV3eXXcUD2fmioY4IrXeXzPC0e2k7zmUk4aqxYGQeGqIWst0rnRxQGHCidBbg4sZiuqp9f6aEXqj05XKBuxw+2C73j3EsZB4aohay7TWdIljoXpYAkSSd3U/yqwUIQIknhoiOclFCCGEsOxEDgAAEW1JREFUEGP5W9saNLSrN+5iWWot01rTJY6F6qEQ7SDx1BC1lmmt6RLHQvVQiHaQeGqIWsu01nSJY6F6KEQ7SDw1RK1lWmu6xLFQPRSiHSSeGqLWMq01XeJYqB4K0Q4STw1Ra5nWmi5xLFQPhWgHiaeGqLVMS9L1+Pj48kz+MH6XtJFP1D0/Pz88PJR8zxj59uLFCy0AnWfD+wvlaOtPTlvodSEm1JxPnz7x8+Sqb2LPSDw1xLQy5VfQZ4/MjAxGD80JmxaJJ4NfsEcThfRKPM1CST2Ml4oZrJODQGrc3d1BCn/8+JEFOu0TQ0swtubgSESeOaP6JvaMxFNDTCjTx8fHYDWwHVISPTyIZ2moKoPN+a76Ko5L4W3CtxFKnORX3kYBwYSg7OtA1E8oULwAlIgPqK4rI7AEfNUZjH9hGoVYAomnhhhbpp8+fbq5uZF42jNXfpBY4mlGCm8TVsW57imWYKwhcOcOCgvc4Pu8tfn9lsH4l6RRiIWQeGqIsWWK9z/1PO0cflr1mtMlnuZiE/GU1Bnv3r0rER93d3f7vLVLxFNhGoVYCImnhhhVpvzaeXf5It5ikZoBiadrTpd4moudiCfzfMoLi4eHh93e2oPiqTCNQiyHxNPnZxnuw+tdLJ+fn29ubm5vb2eJ1RKUlynyBAmhQ8Zun7DGKPGERHEuD37izdt/zh278DrrZ59xPppN0+Nenhh4q2AXHTVO5w/Fmw9Kd37Q2+whhIY/EIg5vhC7ovcpLkn7XOIJ+cB+CN4LPnXx7CdssYyy/IxvIu6ykV+Ej6xYJ1s2YQnxhDxE2pmHwUw6KowAVDzWbSP5whC7rvuQbYIFSy0vUPw9gr8ZK4bWN28OP1nZAiyqJp5QSXgkcsCGpwvTKMSinCaLp+TMkUXiOEQcDd5seBD7prEPiacAJsTauZ23WN1I8XR7xhoeFD0rCWefsZWyhsQkEY5/fcaOwd8WOO8FPtzNUYwNBiUCr3V/hnsRsgkFLym6S9sQbOxjFvGEmOCKzBxGyaoxUmF3OlPE5txmdeEspotbvAMWZ1oxIcx//KQsWzpbNqHwNikXT8grFAQy5PkMc8ZXvK6nk6bQZyiOBq8IrNRYLhm/uvge4eM3rjmEngCWKJ6L4+P4M2QEYlXCP88L0yjEQkwXT935TmMN3txxj1NOTpdZJ3y+82G97dOWnRkbRsBT+HDHq55/VtYknvxLsPX8xzLIyxE+631FopstttgxDCcTCG8TCnRUCYsDWw7fTdWdZ56XS/lZxBOiYc2SjeYEMihoqCh9rHvSTrTZW7wlfZdAHMhy2bIJs4sn1EyfgciieKxqXvHEYvUaxR6tmRdRu7l4DE6xg+OYUI1ZteHdlEyUvzGpn/J1Uog1uUo8de7NdeZ4jSe+l+wdaMNYXdm2zUtJmfLVPzirGvEUdO/H7vCx7kmeGJzFl/VMIH0P+jhwNpB9DZW1u3nKW5SkzxNb0LzuGcwoJCHo0O0TT9dny06YVzwhyaeoy8fLTb9lFvHEK8Z95xw4yzzkMw6FQUxMivlj4oUJSuqbxJPYlnnE0x70QXwv2UNqq84nvovvIXPIYJkio3xfgp1Vq3jqLqmzGjJNPBkIh0Ng5Q/6YBfqzKild5ZwGLeOhL5IJk/MtKAQqebjUiKe4l1js2UT5hVPGaGc17V9G5MR9tHgu0RcgpzXlnkLLRdP1s+Uj63Ek9g/64knc/07fe2E6J8RvP2Sjwnb0ne3ZMQTN9KrEVFFTPAgsIEY214S2855QXaXd3S+k+EY380e+IQF3p12mE9+QX5fxeAlkl6cnn0+qkqyru/5Hrz1ThZPdLHHYahOrBWFD3qGby0T/giGq/IsIZ7YA+ETOFk80a8c9wU/jzPYRgahlWdL7D29fl0tvIVHiafByjCjeGKZxvfIYITLxVN3GbYLtnilnjxL4knsjdM64onvNPT+gfhgi2U90vZmY30ebMX9u2ayE9vT55bB29Lefeniag6Jtj12c0nG1nvL0pOR84zMAdY/QfhMsZAtqOAdGpfzaV+OwTK1zPGY2gP7dNe9RjwNuiuViCcOEFs7N/ZBz72oYPTPHUyLZwnxVOKuNJhR9AX2Mw9GiaduZLbEVXf9urqEeBp085pRPLGnPNAxXVYbDR4Qx4S+huZmx4oUaESJJ7F/1hBP9FfwQ+bmcmuKgaoi8CL0IgNbMndv5x613cVNm48G01vBfJ+g68vPTh+M7cuvp+OaK0ZePNmWQDzh+biOU3lhmcZnTTtxNSaLJypyXxwTxBOlRt7rPP+gt14WxGRsTVhCPPmXBzJBPPEGzHv4LpctmzCXeLLXtlNqygvf3+znjOLJxtSCKw66H4wST91lgh7fW4J1PfrOkngSe2MN8cR7L7hD+LJuz8T4UcveXdMluET+MxS8l+ye5M3sLxpLmeT2ktjyWnEcBsWTnetdX70sWxSJp+D5ztrrm4oJ4olV1x/A2sJAWLKDD3oeMKEmZMRTyWSO5P2LyARdoRPEU9Cha5PScVjwErJEtmzCLOKJfdj825KPh5It8YBsHBSgfmMme300eBirblDb2b+eKYJR4qnEfW2seJKEEuuzhnjiYzR++Th93cl/chM98IywkTVuGVw/afBBXCieSmJ7jXjiRmvS1vSEbVk82cIEb87rOnbnMmWz5A9jyfoSsTmb1ngE62LYT5z15ry6oC3rx5XGOO/slB2CCWpFOZlv250uZN46bKTGumwRBz/W1rkZ8nYzmhLyGcV7xObEWdcvlxh4eVlE6uV5NaDuMh1voWzZhMLbxFYtCh4yXG0SeWJvbpZFHp8byeU2ustDDBmOvM08nG2pWHPrtJLlOkzdpRzzrlfmIBFMh4xrDi/K1T4JP+4bOJXGZzFFL8/rcI5KoxALsYZ4Ssqa+GWFNwNvP966N2e6iy92PiZziaeS2F4jnrqvO9WC7rFFaVk8dRdPf1usOVhDNZ7c1EXrr6IoA8dkFjfbvNNlyXI+/SlBgnkDmajOviYZOwz8gulJeHMx/rZouO2N5z3EGRVv4RWtTeWS5TaZy5Zh2yRblmOwHsapjglcjihnrXTisdS4NnZnUcV6nneZYr0NXiGCNc1x9Xz+J4s+TqzFLVhE3sAVuVBtsD15Y5anUYiFOK0mngKvhfidks/WN+cvRXA7H758uA8+QOcVT/nYXime+LrPxnvNZagKy/RwVJAuTkZbImS+3C8R8gosly1LUEE9XAE8/VAn2dv0xsGe2q1jJ0Qpy4onPrXZ8RtPMTtFAwp8UYZm+nD5tAVPLPnmyVziqSS2V4qn7tL5hIfFmq9NtT7cK0jXy/MaBwuFvPO1JTMsly1LUEE9XBqu6NG3S+JJHIgFxZN5PtrIt3+I07UiOCWe7c8B+JJX50LxFIuV5Gy7fGx5rdiDMiOe+CEn22UeIWs2bLU+3A+arg/nD+LS02WhDsiMR9RuWSFbFuKg9XBN+Hqc9D3HM1Z+3+JAXCWe7Nt2wcuEeT7aWBsHqmxtD/rqxrcKu5r8454iY1BheKfdvmOo8ziy7rfzEvFXuvpia19+Ta6O42PLqb/88F/wUkWJtvKQRK0P94OmK3DsmD18vCes5k43I0tny3IctB6uCV+G6UplA3aoqNh+OJUvGme6eBp0fgzeGvEct2+2Q+L0+TAFegL6Y3AyWnzp+JkbOFfaAcH2wdgG3osW2yA3LPw3l0V74/QG399dgVof7gdNFz1ng5nn4rjZctB6uDL8ooM9Kjld7rgjy6JZposncSXrrCruqbVMa02XOBaqh0K0g8TTNuD1a33vyHxPoRBCCCEK+VvbGjS0KzftLWC905vMgaq1TGtNlzgWqodCtIPE03rQo5wfxdxkYbday7TWdIljoXooRDtIPK0Hp+nx0wSbRKDWMq01XeJYqB4K0Q4STw1Ra5nWmi5xLFQPhWgHiaeGqLVMa02XOBaqh0K0g8RTQ9RaprWmSxwL1UMh2kHiqSFqLdNa0yWOxUL18Le/Rcjdjz+OO+vt2+777z/bfvjll8+x+tWvPqdoAjj3u+8+Z8U330wMQYgZkXhqiFFlGq8g37co/Oaoroo9MFgPKYNigxqAyoE4yJw1SjzhFOqM/YgnKCfECilFrCZIn1evuh9++BzITz99CQRbhNgQiaeGKC9T+zqysfJn+Eahuir2QEk9RPMPEUDNZFsgjCgIhr5ENYL370vFE+IzCGL4pz9dH6kvQnCseIJgwllIkf1k59NcsRJiAhJPDVFepvxg56KRmRHVVbEHCush2nsvnsjbt1829vU/jYVXGRRPHN0b5Fe/2lI88aw4AnPFSogJSDw1RGGZPj8/r//dvWtQXRV74BrxBNj5NNdAW4l4+uWXz/pj8Io//pjWLhOYJp4QwzgCM8ZKiAlIPDVEYZnys/bQT0f52rnqqtgDV4onSoQ1xdPd3fAx5mO0K/E0b6yEmIDEU0OUlCnUUuAnDgm1814o1VWxB64RT7/88mVj4IFEj6h4hhr9r7E9dj+nnvDiyY6kzzWhIolP9Lx//0WjmHmlhb0WyHffFQ04JsWTT0swky6OJJ2fMrESYh0knhqivEw/fvz48PDw8uVL6qfb29tFI3Ylk2c5BSbENVwjnqyKegXz889/UxWB4IBYgYDgwUl/KRNPd3efzcLxPumFflHJUTOEgwjQiRvx5DGDDu+xeIJyQlpwIv6AsTMsCCcZgeRGIVZD4qkhJpQpJBSn3e3Zf1x1VeyBaeIJP23+XbLzJhYcVEt+rn48AMerQN/89NOXLZA42AIJFRwzQTxxKp+PLd2nBh3e47Qg5j4CCCcej5N4EjtE4qkhppXp4+MjToSEmj0+c6G6KvbAWPHkDXoC4iZJLDgotvyWeGGCpDAKerwmiycuImUjgIQe3F6cDaaFg5WB3uLlvDSUeBI7ROKpISaXKcfvdus8rmE7sQcm9DxZR0tmwCvZWxNsiWXQcuLJ3LMCuBoTrE8FxmlJ6sjYjUniSewQiaeGmFym79690wrjQuSZPGyXGbPr+oftvLzgFr8K+XLiqW+2oIWfETRJ8WSrXxZGILNRiNWQeGqIyWVKz6d5IzMjqqtiD0x2GOeAV58USM5QY+cT1dLPP38eLPvuu8RVlhBP9J2CmTdVX/iDaWEEBj+0IvEkdojEU0NMLtPXr1/f39/PG5kZUV0Ve+Ca2XZ0Y/L+3Ubf9H6oJftQLmerxVdZyOeJvuHB5/YoqvKhBWnhKXGquXhBJgJ9G4VYDYmnhigp0w8fPjw8PPgtHz9+3PmC46qrYg9cuc4TFQn0UCCD+qb3xzIrvkq5eOI3d5N4meIXR4Do8VHlxryaidPCwBEUTmdoiAZSN2q2nSSUWB+Jp4YoKVP6ht/e3kJCQUjd39/j7916OxHVVbEHxn4YOPD1MYdrKglzu6ZK8ItncpgPW6BCaAgKAsJ7ar969fkYCDLTNxa+/8Iut+BgXCUQbQYjDEGDw0z3cNwQG3lRXB3Rzg/AIfw4LTg9WPHy9LX7vC0mHvjUJ2MlxGpIPDVESZlCJ0EtcW1MCKmgF2qfqK6KPTBt1qfvNbHlLmm/+114MDE9ERtlRLwxWKrb1IZprEw/FnaxVyzQRogtxw2phwb9vvsSzrUxmSJcyI8GxiuMW19aX6yEWAeJp4aotUxrTZc4FqvVQ3ZfQXzAoGCs/4m9QZmVAoQQcyHx1BC1lmmt6RLHYrV6+P33vd082CXxJMQKSDw1RK1lWmu6xLFYpx7S4SmY6UZ++in8rrAQYiEknhqi1jKtNV3iWKxTD/klFvpK24AdDLIp4/QthJgXiaeGqLVMa02XOBar1cOff/7s3kR3ac7Og3LKf5FXCDEvOfEkhBBCCCFi0uJJCCGEEELkkXgSQgghhBjm3y9IPAkhhBBCDAPZ9J//+Z//9V//JfEkhBBCCDEMxBOUU6dhOyGEEEKIEiSehBBCCCFGYOLp/wMOX48tMzURUwAAAABJRU5ErkJggg==" } }, "cell_type": "markdown", "metadata": {}, "source": [ "Precedence and Associativity Rules\n", "\n", "In C, mathematical expressions are evaluated according to the following precedence and associativity rules: \n", "\n", " ![priority.png](attachment:priority.png)\n", " \n", " Note: The remainder operator % gives the remainder produced by dividing two integer numbers. Example 5 % 2 = 1 and 1 % 3 = 1. In C, this operator is not used with double or float values. " ] }, { "attachments": { "standarMathFunctions.png": { "image/png": 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ohRBCCCGEEBunEvSTeAZUUmLnqAkIUaAGIsTwSNCPgEpK7Bw1ASEK1ECEGB4J+hFQSYmdoyYgRIEaiBDDI0E/AiopsXPUBIQoUAMRYngk6EdAJSV2jpqAEAVqIEIMjwT9CKikxM5RExCiQA1EiOGRoB8BlZTYOWoCQhSogfTz8+fPr0fuedO3t7c73PQ+d7kW20ztr1+/vn37Bh+RLy8vv3//fnSK/gsS9COgkhI7R01AiILFBvLrtEVxxhTVjx8/NiVcboc96ZcvX/DUg9309fX1/o+2mm2m1sYYnz9//vj4sOaA5Nm/j07Uf0GCfgRUUmLnqAkIUdDZQExZQsSbvscZKBgIl3Wa/tu3byuuuichhfbI99eRGFDd+qb3ucu12GBqP3369P37d/wNTb+p5EnQj4BKSuwcNQEhCvobSBD0xsfHBw0Mzr0vrj33qnuSU/gQHSlBn9laapEeG/Q+OiGzSNCPgEpK7Bw1ASEKLhH003EOO28s3wMuPPeqe5JTKEG/EbaWWny/kqAXt0UlJXaOmoAQBRcKeprinHXTnz9/rhsG3I1mCiXoN8LWUitBL+6BSkrsHDUBIQouFPRY//fp06cc3jv9MO31/v6O8xwD+MW1/JuqyJ/Emd+/f9PPjP2NABb+4+Pj9fX18+fPWKH7/fv3T0do0wwsAT499nd4FpJTiFR5HWlnsITA4glLCOy//NWSsajzLP0WiYVE+OAghTflo+GmdlVIM+5o/1oMwfofz45rmVGhsLxE9kWT8yTkmxUKqsGh9O4SVlczZn8eMeNJ8Th4WFaeu6WWWAALxtK0v33O56qS7+ijKp7L/kb52uWoEigsS3Cdwh4OEvQDoJISO0dNQIiC/gaSxQqlWNaspkIgTRAMCtvLF6/UARSMjwqLUBnMuzd5OUJ5Cqlqesh++n4EZyiGTEtRW0NwF8JrLoXUkbg7NbRfQoAFkVCK0IKHco0BEsaFxUiYn3vmTb8c4TjHrqKyRErwXwsfVmTia4PlHpJkmXNIS5nznLeFD2csfuSqzzd7NIsKt8YlxSJp1ASUVMgEH63dlLUFCbP/3j+101FkexFvl+SaPHXP0BfPBTWPkkU9t9hQeYwweFuBBP0IqKTEzlETEKJgnaA3/cG5yaxWsZzUC6msU7NcbqqiEIwyCBLHkoE/skiFiuVENS700s0Ss07Qez2HJzUxzTCWG/4xodeLwQNkpX/quUdmDFCZPucxjPGXMA3QtaGMMHbyJ7NEbpq1YDjBlGDYFnK1lrYol5AeG7nxjD1duG+46T1TazXKF+50Kq9wskfQ9zwXxqs+c6Dp7aZFzD1I0I+ASkrsHDUBIQrOFfQeUxtNnQq7An+Gc/mUU5cI+mw8na8NIfFfL5VM3q2eoZ8LhpnmYCMB3RbmpAm+Qti/Zz1y+Hbhp34BnxRDHR//dBKXfup3nUTGtwgfAAVRuGDnCMfPOnuLLIxAfHZdS9Cfm1pkci648PFn6hP0Pc+Vz1zLOl+CfgRUUmLnqAkIUXCuoIfagPKYM1fw5u8BipU7C/rpNP0Jo+Qex/krBH29CVd9O6wQoHn34iMjGHQw9b0J1mANggjz0CWo0nUSee5h60qFwqK2NqU7lzn2XFz2cLmgPze1GAtlMZ2/b5wru+eeS4JeVKikxM5RExCioL+BeP3BedamdTgMvnti82duLeinkw304WjBsmjGkFPYKejDdPgiXCtp/3LuvL7plJQ6ZDEHD5z/zqoRBGuT1RJ57stD/bwHZz5uVSjnGFY546drzdCfm9o5g5xsP9Yvu+vnkqAXFSopsXPUBIQoWCfoJ2e2kdUGdEk9C/4QQT+dVsRC1tc6abWgP0s1wiAeTmya9517EDxCOAnreS+XsWw3j16CdlwtkRdHbk1gGg5nO8E6C6uK7SQ/NVxR0J+VWiQy72ecK1uP7O55Lgl6UdFZUjfy57odN7Fit+hlJUTBakE/nRYIHpLV+JxrFwsfZo79r7e2offTwJDRTW+bc7eeu7sPhjWy2QsKRhHNu8D0whuU9zwyJrmpNcMQwq+knFOlpiz9CtF1EhmjhexXcXFIw4yykOFyVCp/8lqC/tzUYv1uriTI0nNld89zSdCLCgl6sXP0shKi4BJBP530aJCwNCWnp20TjiZo5rzc0Ltl0GQcMISY1wn6rPb6Bf1cCqekvzlBTkt9y4EvX77MLcANPnCgdBEhLm/eFM/r53qz3oWgZ4Q+AE4uftA4/Okv0kZE0MSMip6OsBsAYoZDzyJjQ0aFLznBeykmtnHTYvhxo9QihhDATjaLo37qnueSoBcVEvRi5+hlJURBZwOhGMoexLlRjoWhxKRTbRJEPzdI4gZPtMu3MxYVPJ9wYID5dUTrXbBPThv5eWgMBhgSEpD7MeG/tU7KKcTd7XmpwJhCTv/T/bmn8EPPERH8jnP7JwpNOqnkblBYCRDmennGwiCS4MGTji8thXBp75ORH21yS5/t1hYndvXCGdrwcBUvqT27kznzJI7isJ8A1mMcTu7/75xaZj5iwMYCc9WvjmrxuTj08vZRqB7eImsdEvQjIEEvdo5eVkIULDaQpucWL4UpesJPpnGpn/LOpnAKHoQpZ1XpxxA+1PF3Mw05efmMhfx13G6JYw/7Y3FRbEhhjjM48/GTr5B9PTfilrcMCbXqla5lHXcYzZuVTkfZ5xOTc/uX27XXC1ww9yCW7UwbRixfjzvshjWsfltcS2e/9OQeTwEO2xAbfPhQ1N45tZjFZ2mGS5o7xc5FVTxXjqdZsTszNnOQoB+AzpKSoBejopeVEAVqIEIMjwT9CEjQi52jl5UQBWogQgyPBP0IXC7om5+38teuc6MV4j7oZSVEgRqIEMMjQT8CV5mhf3t7C3uIwLgwu386K1oh7oBeVkIUqIEIMTwS9CNwLZMbLpN/f3/Hmu6ezfAk6MXD0ctKiAI1ECGGR4J+BK5oQ48F2ibl4RDqWtEKcVP0shKiQA1EiOGRoB+B6y6KpdvUzrtL0IuHo5eVEAVqIEIMjwT9CFxX0MNtar8/VAl68XD0shKiQA1EiOGRoB+BKwp67AiI7Q/yds2roxXipuhlJUSBGogQwyNBPwLXEvRYCIvt+mBM3yPWJejFw9HLSogCNRAhhue2gv7j4+PHjx+fPn26ZDNbz+vra2dUFqz2nj4S1xL0Ly8vfiEsjOkXs1GCXjycy19Wb29vX49cJT0WW+ea8jmwD3z//upCFHQ2EDgv/vbt263TI64FPqebNHp0QhbAC+2KalBkbijordgwy9tvjV1gHZv1tZg87k+AXbKHHvEqgt7UfLCxsXcEiq9+WUjQi4dz4cvKOsVz14IXhIFxJ3Aa61+V1gWe+9K7HHymU6MeDAn6UXmgoMetF7Fg11WDYo6bm9xgC9ILixB9zIpIrI+0C4fX9JcLet8yccZy27fJepfZcxMsxHW5/GWFCn95ZTY1v+LboGl3bOsW3nKm5j9//nxPTd9vayeeiDuY3GgYsDfsLWGFbu8u/JeagQHsjAkwvg8xaSJBfzueQ9BbpeH2pSuuHf5Fc10vN+eivl88nI0I+tfXV9PfKy60rq4p6BnnfWYluF20GvVg3FrQm6qTmf7eMGXl30tZ0E9/Gj9fRQ2KgicQ9PCiuHqOCpWsZ8fT50WCXuycLQh6zLKv+Pb9/cjcq9K6TIvWAqxOWCeWfhs5wPJHjXowbq22TdtJ0O+N8CmyKeh9MAn6W/MEgv7zkUvSYN3hhTFsHAl6sXO2IOhfXl4sBn6A7r/vly9fpvJVCbV0bsznYgl4e3u7lumR2BQ3VdsYBErQ75w5QU8k6G/NFQQ91p6iIOHC3P/KIkS/hTBhEuv9/R09FjoS+5tFjioS7G14Oy65QGr9fz2I/M5ry+6JBL3YOT1NwASxvQpgUmL/2lslfy/GMnp4Y7D/egtRYK8Xe4PhPWYx0JwP8+jnThxg2we8moreDsvTb7ruzZ4Lr1kJ+iHp7CNMmgdfTzbGw0h1Og0+7W96N55aKyPZBVv1Znux1pG7ZouQXb/HJ8CHCWvEfdp61n5gTR2iYvMPq8UQW15UBpd99iwW3tKA1hoeysLAQM5OYvWLBaB1gP0KzxN4ewSrAfsv0oZFyRjkg0Ig2SPwjj42O2/3Ys7b3/495tPJ193lnwH7BT2fCJ8EczxzJS5qLhX0XnBbzUAx+LqFIkSNsb9Rw3AGAdAR4hK0f9+roZXmFwFtPan1rVrYmaZzCcR5h2/Wj0KCXuycxSaA9wyXyOOdEHQDznw5wlkDu4p9IXp0/BfihjHAMvDctmDh+coqBD3S5vv4/OsixcQYnsXrGzXqwejpI6x6oxL6Wk1pBa3PMGHsmpUcXFlAN0NfHv6cm0OTYQDO9/lI0K2j6tq/0J1QeD5tlioOwuc+ZNmN7Bb4FSNk1nlKF3+5pYTjebsjHHAjH5piBuqFssRARuGRLQba41mceFi2fTQ6PCbmHZiZhUDiGCNoJNyLIt5u6vPNpxOWfjD549Mt1pM5OgW9pQcrZVElQpEVJS4WuVTQo+aFCXXfGbBOczIslCIu8VNldgkjxOVNC3h85kNh43UwZyiP1jtwF9Up6IUYlcUmgJeA7/ZC34MXkXeTjH7RqxB0fv4SvlVWzBpYkry+KQS9paTuKS/Bbyc3SdAPSmflyaVv1YOCnichIr3MyvUTitbHE5Z9IxJ2/VhW6wPgjG8ReRyOS9D1W/g55QeZGGTG4c+PCRDZaJKYyw+RcLRDAZolKVLIay3xuGmYROfbhvML/nbIKx9yTiDxjj5yiyqMi/D28ycxVep9AEJQXeJBpFPQ+5ceMpBVq6fERcGlgh4Du+C3KAv60Ev5HYuyUY2VLsOHFp7vjkpptbAYWS7Ws2dn4EcToofFJoDpQD/mbwr60HPgKgazX8N0kdf6h45d2IhFEjzq1gam9ZvwEsLLU4J+SFYL+qkl1nNdDWEwDAidMj/XTzNj1ODW0EIGYcqunA2ns2fHtwJ/JijvybmOhbzOfqWaLTRMkGd5PZ1eI+HTgR+K4CqfXUxtLZDyHXGvPLMQJuBzOi9v+Cts6EMyekpcFFwq6In/+rMo6FGKHAvyW5vVtlBsi91Yz3YwEvRCjE1/E7A3jDel5fm5/gzB+JUf/7X+NcwFniXow6S4j2GFoL/E5CZ8JZgk6AflzoK+qJOInPPxRbRhsVyzMnf27EW78MHYwJuNpdlCg+1+U9AXGzAhJMcSWJge7lsIpHzHOStlGFOwsW9T0PeUuCg4XC7oYfKFpa7Z5VmzDWR7U5h5HY4fofzar8WyrFsgkKAXYmx6mgCWf9mbyv7NE4Rz/VmYNcTurbjWf3yfE/S5i7KouAdz3c2HB7xFr4a3bsF1byceRWdRXlfQ196iMf3nI8EqUn+XuXUjRdrmgnWawxVThMXsZI+gr+eY8XbC42Dprf91TiDlO869iBbTuRFBv1jiouBwoaCHgmdT6TS5yfas059rNfhT3Y3BRwTqRLCQ80jQCzE2i00ABvFwYsNLsgTJ/RneSOEkXXvxtTPXj2LZmcdSQl8iHtwIC22zAeGNBH1OBl1t4L/XvZ14FA8R9LWGRpPkQlX0434MgLvUOrhf0PcoRazU9CbBnkLQ80kLQd+zGQ484TQbe1Mg5Tvi8mwKH4JtVtAvlrgouFTQB09tnYIeI1F8cbaffEVHI+cwHZc37eP9Z+vaZdU6BxRPhAS92DmLTSC7cu8R9DAFZu8YBAr6TkyYoWdavaH1VJrccGHi6sj7kcnNkNxZ0MOiJvsngSrlf+HwhEPZIHmzYxxexYbc2S7wNSALCd+i7Ve0dBrAhMZYiBmmvCnoMe+Z7fIxtsdV/ie/PrUWSPmOdBYSnhSZycRvU9D3lLgouEjQ47O1nxr3Jjd+4soXIVZws4/0niIAJqvw95xB2HQse98+50bVk9xWCjE6i00g9NDehLdw14hXB0XJ1z/9S+ASCPrLZw0KQV+7rbwuEvRDck9Bj/P8hEXLbywE51UU0HViIG3pctGam09ep6CnFbv9AWmIuXRnM9EAACAASURBVHAKBriWp5JBc246xvGqAzYCfk6zKejp4ccPWuwPu5BebsIlXtAXAql5x+zIEid9PD2CHs46+11GXi7oe0pcFFxhhh7VFO5p+bXI1DMqLs6wGcMDq285KEI6fMV/fTM7tL4fYYMG39holpq3Xwlj0/GQoBc7Z7EJYIYeHp2xIRRdUuJtQyeVnC2D3arvv9GV4gx8V/u3UJg5O5dC0GOipN+FziVI0A9JZx8BgUWhObldYCnsoGLDHBk3YuO2R5zn9vjJV7SXHyesuf064tNDs3LiZ/25gq7HmoXr4AmnzNH2ffviM9IiaHJDFD4g3gA+Z76eXFuGyXgm1ZN9zvhdMn6dfLEXAomp8hqJrzJoIWwC4L0R0kenvwoKygfjsyzm7fSnL/+mSQXrg1douMRnV13iouZSQY/t0Lxkxxc0X6IYiLMJhcL+ddzThHs05H1kwwh4au3iFtbUhyqYYxiMzpe1EKOy2ATY1/INg57DixLrcrBq9tDaXnE6dj9+kWvYRxYTB6s/DReC/sKYz0KCfkh6+oggpH65PeDZsWaHLbgWjt5D108p2ezZOf0X4N5tgFuohhaX07b4gD/ctrXW0sNymsO8uxX/zQFOLXN6smOf0Jb9hq/+S8V02tKL4x//ayGQ8h0ZYdiV1j9sM53hDPKhf4PqphufPBNf35SB50pcLHK4UNDfAQxtVw/RMMffM4J/XjZSUkI8ii00AUxB9fR/53L5ruxi52yhgQRM+pvOw6z8D4cJ0EvWotyOYsgtxBZ4AkE/HSfGVm9ghs/r103P1thOSQnxEDbSBEzNe3OFq2C65+pxir2xkQZCMPE895MEvRAreA5BD5OvFbPseTvGIdlOSQnxELbTBEyLXHE2vbkFlRDnsp0GAuAfr9k1WwvapmiWoBcb5zkE/XRacnFWxxbWrQ/MpkpKiPuzqSZggr65LOxcYPcvNS8uZ1MNZDotUcVKFRrbWMPJq+w2wsfHR9N7jBDb4WkEPcBC+J6Q2I7x1unZCBssKSHuydaawNvb24W6xARE8E4txGq21kCmoy2ZX3tqUt4E/TZXQM4tBRZiUzyZoBdNVFJi56gJCFGgBiLE8EjQj4BKSuwcNQEhCtRAhBgeCfoRUEmJnaMmIESBGogQwyNBPwIqKbFz1ASEKFADEWJ4JOhHQCUldo6agBAFaiBCDI8E/QiopMTOURMQokANRIjhkaAfAZWU2DlqAkIUqIFckbe3t0+fPl13B3o48Vzh5P737992FXzk27+WNjjZvIPb7p403yKvxBwS9COgkhI7R01AiAI1kCtyXZH68fHx8vJiEa7bterLly+4yuQ1PfrfWtD3p3k7gj5sJmBDEZz3myHw5HTcHxBjJGzt9+vXL3/5WSXVvO8tkKAfAZWU2DlqAkIUbKeB9O8OGdiCKLwdkJvnCnrLTLuK289B06/L3hWsS/PtsGFGXUksozDaCcK6eTJrd7t8naCfu+/VkaAfAZWU2DlqAkIUbKeBfP78eYXiNK22nUe4BevEMWaXb5SkRbYm6E00L8plzsf7kM2TYYYerBP0c7e4OhL0I6CSEjtHTUCIgo00EMworxD0375928gj3Ih14hga8UZJWmRTgv7l5aVHLvcL+iYS9OLmqKTEzlETEKJgCw3k/f0dVtfnCnpah98oYVtAgn41v3//xnhPgl6CfgRUUmLnqAkIUdDTQExwY6XjdFzL6B2n+DDfv3+3MCbKTWfbHxbg4+ODv5q0gmq38yZ6aN6NxZEHh1c29isVz5cvXyxm/hTWMkJLhTP+MRnGbm3xYM2o/Y0ZXMP+YKqAdxRjiVzUavDuEpSZdzVjt1i0+EdeMSvwd7i1ZbIP07T9CPlpz/L6+orMR0grHZ6xX1F8hv0RkuSXuoZy70/zYl5ZtCgLPCCMy+1f/3RNkHILbH9YUhGn/YFsn6sSdjvcAiXbKehDfcvZ/uMI0mPxL45R/S1YG+1yX9Uv5yBBPwAqKbFz1ASEKFhsIKZ7YDRsQHyb8qAEh7aDmseZ70egpSBKMI9u2vH3EYQ0rePVM2RNUD8QkbgFhBpkd0i/fwSLAWnLutnuaNdCxULJmfD6cgLx2B8MjwWLUPlUWuHuHopCrwih5jGwgUitJ2LxsYI35RDFa0eMl5BXeF4jqN6QLZYAjisQFSKnDrZUoeBwxqtJJAm+cSwe5FUOUKd5Ma+slDkkoNdLhLFkFzmG6oTkITd6ptj5bcf+8IO6RUE/t/7VX2655D8O5PGPx49XWQ/BFRcxS9CPgEpK7Bw1ASEKOhsIxTpUOL1zeLEFaYL5XQsAOWLiBmrPxwat409mQW8yKAhHi9OPE3zCfOS40Evz6aTDOISA6PTLcL3CwxlLntd2du2iXRA8GAZF6Ce8LUAh6HGLEAA546fVQxrwLOGqnC1TyxImD66QD3445Cf1+YyWTtaExTQ3yXlFrezLFyVeTNKjUOiL00IuCnrkoa+9LNxFQT/NWNfkk3RnWQ9IvHNMjC74YeGKNksS9COgkhI7R01AiIKzBL0/Q1VEcdmcZYdkDJOUprpwLW1y8rUYMAQbGKyd9QqpqVxzbKaN/PihaeTtV09CXAazBz9iadIU9GH6vJjjx9OFm4ak4utHvmnIq05Bn8+ER8DoiMXkI0eZ9qS5Sc6rZrKblSpfcmhZTE0zihxp7tHulwh6f7IYkORb3MKqXoJ+BFRSYueoCQhRsFrQTyfNTQXT1F4IkwVZMO0I13KyNlyVRwLNYFksBieDTcUJ8Xo42XAfZihkVr4v4zS5uWgL3szAkFQ/oRvwFzazZYWgz8sSgnLtSXNnXjWTvSjovbVM9nzaFMfNlbI3FfRF+iXoRS8qKbFz1ASEKOhsIE2BGCwrmtprTtDU11JPz6WEIeeCIUIa8QcLnKbi9DfF37X1c6YpUmn9fzgZWM9d3syrLOjDsxRRhZOrBX2e+T4rzU2uJegtbWGQ4z8X9Mt0CXqxdVRSYueoCQhRcLmgp+ptai8YBNPEOVw7Z65De548qx1SMifooRdhnWKR99iE4BLIZfxdWNc0aYpU/oRnpPV5plPQ1wrbRxVOrhb0xcDm4YLe35EEUy4Jegn6EVBJiZ2jJiBEwSWCPpi5N7UXLCKyzxmT2l7a5mubIwEI/ayummmmyTscbnoKkxuIeNwoe4+BF5fm7aaWSA1DAuRGHt74BAcj+5DUOWc7Fqef+7+WoMca2eCSaDraPmGM1JPmJtcV9EgSl5OGgWK4EdX/TQU9B6W5+uUHlKAXy6ikxM5RExCi4CxB7yUjzNlrTzVTa+0sT3o95K/Fv5CSYT4bJ+eMxcOtaUKTlSUkXdP3TpjchUdwpMEeufYs3lwU68MjwJygp6edbO7PgQEfylKLYHAwv87LzaKgp/sXe3DO02MvAuRJT5o786qZ7EVBz5T4zMmCHmMSJIkrMbzUbrouvUTQc/kEz3DI4XNGgl70opISO0dNQIiCswS9aR3vUt1P3MI9ZVPGUZrTkSWu9WEgpu2kXR5mo/1N87ZH9DpvzFnqZ7N1ztFCW9N7urfM4RN5Ch81jNZLTHi5QbTwTV6Y3PCRsdWRPU7Y1goPQpf/JHxJyC44fW7wawl9j/rvJ/AAYxEy0yhMPT7mnjT35FUeG9CHYzE2OLj9m5B4X7WCKQ7HJMxDVADunEAQLKt874fep4onse1AM2+9rT8SzGC8RT5zFQ4S9AOgkhI7R01AiILOBkL1Q61Gn/RTyxdKuNzvbGoyJU9RNycvp9N6VlxoMWRjbuyyNLezpt2ouTMrZ+h9qvJ4AFsOcYfUuZl1n0VBsVn8XsbZf4tFsUyb34sX/8W2XAzDXU5znIcEdHZO3uIZP7VcZ1RPmuu8Cgtbvx43lgrBmlFhvMdBRXZeCe2eN/plmr8et9pFSdlJSz/yMzsUyinnJDr23goZFe6YK3mOLedD86nP5SBBPwAqKbFz1ASEKOhsIIWi2jJzFjI9Rt5CDIME/QiopMTOURMQomBgQW9Sfm6TTgl6sSsk6EdAJSV2jpqAEAWDCXqsEH1/f4ctctMOZ5KgFztDgn4EVFJi56gJCFHQ00Cy85DN4g2v5+yPsTj1cLQ+X3ToLsQALAh6IYQQQgghxMapBP3tRhLiiqikxM5RExCiQA1EiOGRoB8BlZTYOWoCQhSogQgxPBL0I6CSEjtHTUCIAjUQIYZHgn4EVFJi56gJCFGgBiLE8EjQj4BKSuwcNQEhCtRAhBgeCfoRUEmJnaMmIESBGogQwyNBPwIqKbFz1ASEKFAD6efnz59fj9zzpm9vb3e46X3ucjt+//5tpfP58+etbRZmqfry5Yu1sk+fPj0wbRL0I6CSEjtHTUCIgsUGwl2lMqb/TKPsZG8me1Ios3uq3vvc9PX19f6PdkWsBlpGmWI+bGz33+/fv2Pzsvf3dyTPzjwkJRL0I6CSEjtHTUCIgs4Gwh1YuVns29vb58+f7YxpwXWa3rTOiqvuSUihPfL9VS8GVLe+6SV32Ug5oopuR9CbiLf0WJ3hfx84SS9BPwIqKbFz1ASEKOhvIEHQGx8fHzj58vJy7n1x7blX3ZOcwvto68DGBf12ynFrgh7p8e3lgUjQj4BKSuwcNQEhCi4R9NNxdjZvLN8DLjz3qnuSUyhBn9lOOW5N0FtmStCLa6KSEjtHTUCIggsFPU1xzrrpz58/1w0D7kYzhRL0gU2VowR9gQT9CKikxM5RExCi4EJBTw8eObyF5Py9iZv393ec5xjAL67l3xRk/iTOwJMJnLHY3whg4T8+Pl5fX+HhxM5///7905GwANES4NNjf8+JrZxCpMqrXjuDJQRY9egvxxpN/NpjNm3pt0iwaNL+fXl58RHypnw03NSuCmnGHe1fiyHYtePZcS0zKhSWF/S+aHKeIN/mcglPZGng7WhHvpjVjMGf78ml6U9Bn1PbfKhzU9uZn77qhqfI1M9libEzuNweBM3N/mVr6uQgQT8AKimxc9QEhCjobyBBHk3OAU7WrKa8TZ0gsP0Lhe1VSFY5UNs+KixCZTDvjOXlCOUUXYjYT9+P4IwlA9eaSKK2huA+LM2e5hRS9eLu1NB+CYFFbomELDOQyGKNARLGhcVImFecvOmXIxSLdhU1PVKC/0L2+Rgwj265hyRZ5hzSUuY8Q2/hwxmLH7nq8y3nElZ/2uW4BEXGgsjgRge3fhRg1TUeajGXpjRDbyFROj61eHZ/4bmp7czPqW+Gvn4uywEOQTGUtQCI1h6tiDYjQT8CKimxc9QEhChYJ+hNBnESNKtVLJT0UiYrsCwEmyYTIRh0J7WsJQN/ZFEF1cWJalwYplHXCXo/MsGTenVlueEfE4qtEHaQs/6p5x6ZMdAHInMewxh/CdMAFR7KCDLRn8yCvmmEk0VqzqXgDJ7pL1whYdgTZLQ9Ec8s5tLUqj85tfmhzk1tZ342755ZfC5LBgW9T7OdOWuSXoJ+BFRSYueoCQhRcK6g95iCaeoVk2JhBpFz+dRJlwj6bOqdrw0h8V8vuUwhrZ6hnwsG+RWEKYTdnANyfIXwk9M9jxy+Xdiv4QMInxRDnTD5DY+KBuf4ryXokbBgDoQwhSkL7uXrDObXQ7RFLk2rBP2K1HbmZ/PumZ7nymdWWOdL0I+ASkrsHDUBIQrOFfSQEZAUcx7omzbE/vLp7oJ+Opn7m0w0wd3jOH+FoK834apvhxUCSGTPIyMYRDz1ven4MHGLCLP4CyZJ1xL02bCe1GsJEDPTY380w8/l0rRK0K9IbWd+Nu9eUDxXPiNBv1NUUmLnqAkIUdDfQCAsICNoSdK0DofBd09s/sytBf10tHDg6kOYTZ+Vwk5B37Oq0gM7bBtp2L+c661vOiVl+fHxwXGU/cGpYl9qHi4pnrvLJYJ+xUZjYdMuy4281LjIpekCQX9Wajvzs3n3JovPJUEv/g6VlNg5agJCFKwT9JMzM8hzmRActU56iKCfTitiIevrOePVgn7OuqYJDOLhxKZ537kHwSOEk7CePzgrcNhb59FLEIXXFfTnDmkA17DCtYv/aTGXpgsE/Vmp7czP5plMz3NJ0Iu/o7OkbuTj9s7+eoXI6GUlRMFqQT85/yTBanzOtYuFDzPH/tdb29B73QYh1fS2OXfrubv7YFgjG8zZp9MoonkXrKf0ttc9jwxjfS75DUMI5D9EJ/4OXiynozD1Sz+vJeixFjnbYlmG1K5jeC3ckga79sVcmlYJ+hWp7czP5t0zPc8lQS/+Dgl6sXP0shKi4BJBP50USZCwNCW3X3HehI7pyzkvN/RuGRQkBwwh5nWCPmvTfkE/l8Ip6S1OkNNS33LAJOOc/Ao+cDAkQIS4vHlTPC/zPHjswSV0xZgLDicXP2gc/vT3Aj+ShaC387TFskfmCAoXLlq28Nq5zxFFLk2tOpAdWUKOM/4Vqe3Mz6lPdvc8lwS9+Dsk6MXO0ctKiILOBsLlg2EymN6+IWgoMeEMxBNEPzdI4gZPVFd2Bv62adVjZ6C3EK13wT6dXL+HeVMMBhgSgpX7MeG/tclNTiHu7tUeU0g5SGftnsIPPUdElhhsCMXFCUgenVRy9yKsBAjrL3nGwiCS4MGTji/hbT0scsiPNrmlz3ZrixOu0HGGNic5l7hC17M4PQ/mbGAWc4kbjfk6wIEltiZALeKZsJ64P7U9+ZldizZZfC7uxcu2wxZ3lmWXBP0ISNCLnaOXlRAFiw2k6bnFS2Fql/CTSSV67cg7m2LnqSBMOQf89bSzLHx+4+9mGnLy8hkL+eu43RLHHvbH4qLYkMIcZ3DmE2aCuY1ofSMqUYaEtvZyzbIO6yYPp81Es0WKT0zO7V9u114vx8Hcg1i2M20Q2V+PO+x6wd0sR78pb/F1opkbzS2TFnMp1wGc53oJbPVl5+F43ufPitSelZ+HeR9H9XOFeL4eN5YKMffk6iRBPwadJSVBL0ZFLyshCtRAhBgeCfoRkKAXO0cvKyEK1ECEGB4J+hG4XNA3P8blb3PnRivEfdDLSogCNRAhhkeCfgSuMkP/9vYWlnfAbG5xmYsEvXg4elkJUaAGIsTwSNCPwLVMbris+/39HS4FevZikKAXD0cvKyEK1ECEGB4J+hG4og09Fl+blIf7qmtFK8RN0ctKiAI1ECGGR4J+BK67KBY+yPplugS9eDh6WQlRoAYixPBI0I/AdQU9t2DodCsrQS8ejl5WQhSogQgxPBL0I3BFQY8dH7Cvgd+F7sJohbgpelkJUaAGIsTwSNCPwLUEPRbCYrs+GNP3iHUJevFw9LISokANRIjhuZqgNy3448cP7FrMDYTn+Pj4wFa9/XsF17y+vnZGZcFqr+rPyLUE/cvLi18IC2P6xeySoBcP56yXlVVy1G17BS1Wb3uVfT1yWQL/S2yda83vD3ae7/koJ56OnQt6OGX+9u3boxMSOUs4iY2DV+gVle25XE3QWweJrhGuD425qmmPitnffivtAmsP1tdiUrkTu6ldMlK/dRVBb2o+2NjYMAnFZH+sjlaIO9D/srKXj/XrVs/tpYGNF+zMXGB7p527RrwgDJiLFB5msA6jvtZebuGSucZrOWA/cUc5nLT4z32drsBuPfeA3ASjIOyCZ4U4F9JywyKEWhpvHucsJOi3Kej7hdMGgWkuuYUSCC+0ohV3BjuX8IxzWLDrKtt1HK4i6KH8qAVRNetHwkv5wseGiciKSDBFN4ym7yypor35WoszoSHVu8yem2AhrktnEzCp6rtMaPr67Y+GcHklN2XZ2c1AgGbslbV4bRa7zbcc9I1hPVB4f1qeWAJuqumpXTKLaiaPWJq5ak9t6g0FZ7dbHAgNT39vLu5Gv3Da4FAEQIMtioQLb1E39rOCnYs9lGU+XyB8/zCAneGobDrZNTy3oEcvctaNryLoLaN7ZnTmrt1sIzmXywX9JUjQi4fT2QQwcD3rtXMVQW89t6nknpCmaH3/Qezy+kPZdPr2uHgL6AbreOZkLlJ7u/kOiOycqmKu3V+7WHwUGYs5th8k6DdIp3Cydrrl4uMkwu2UQKdSv4Wgx+dc/jcL+ulPQ+6rKNvVXEfQ5ydc5PLHhnfF1TNJKJgn+rxVIEEvdk5/E7i/oLf+2KRqp7hsBsOHhcVp5h6xSzVf6HX7CZP3PQk+F3uWuTnIxdmZnhEL1fxm1yo8hC0rwt3SKZzwrekO6VnH2II+RNUU9D6YBP1KPh9ZfblhndaFMWwECXqxc7Ys6E2n9sjxAtPWi/Y2UOr2TrPbzT0gBgY97mihIe5mqYLP5YvTKzBGsqywYc/cIyDlO7eYz2xZEe6WHuFE+7T7JGkFYwv6wJygJ88t6A8JFipmU3ASrs39hXxsWCAhTJidsu4Hb2dEa38zm5CtYUYn2I/ijkUZI/JbrwC7AxL0YucsNoHwcvAvZZOt9irAAlkI4vyNFcvo4cHA/putYryrCouB5nyY7b5w4qDH3iZY3luCsxxHJvT0drDuvZvJSo+9TbC8b370QGF1bqCxK/oVoeWh73bZP3Z2r7AZQ6cAX3YhHoTBKHdq+UemEyp08b4oC0kwzbdBxNn0VQUfVojQbhq+6vh0UqjQs3NNHXN+FzW70bwiM5SCl1s8aX/DkaDlg/1tqcVVzfVCFhL+MA7dbnYsjPcSNiforeB8zKEow4Pkh21m148jiDOvn8y1MSQYNeqSeYp+Qc+6as+evxbOtbILiflW/FbHckhGRYeT4Ob6JJ/LeGx0kPY3eyN+50VHiEvg2ungxj14C+TaicVeB6f10VU0P78izht9Wb4nnSUlQS9Gpb8JHP6cPsF7hiYoeCf4Kk1B/+UI+yG7ih0D+k78Fx0/Y4Bl4CVtpNPeZjr2zZQgIYXTyRL3cLRFYUdrSW124Xjquc8CeWVqk/5pqv7VUBYnTPxDfwHw7BabhaHmCEpin3Q2EHSXKDj7FyunqTYWu1fLdq5FtqKxYsrtBYqfwouDZPxqMXN1B0aVbJu1JCjaIEVnaIZoBaj/8O/kH82nE+MBxrM4Pq9j9oXSUy4h2Jz3OXzmsqRaeVH1ooCaEms6eQVAPJbOHls1jqvtD0h2tnefvbAzpEhDmn1dmk6t1T+dd/CVc+BwmqegpDz8+VmPwbwyRIKxKKj/E+UcnYIe7x9LBp/Rv4rrVnYJMd+K3+pYQmBkd5hQ9+XNKs6cDU+OS8KQjhHi8mZXxE/PlkGwp5wbdKKSDaBH+0tKiCHpbAJZ0OMl4DuA8DbjpC+vor9L9tCQL/4SLyay7jyLHnubADzVhJcb+1RLEt6rVAb5DYme7z4vlk57m0DTQxzng3GSGuXcDByPnqLEkC/MeR/S9HndvbK9UG7m9jKdWhklL9QMhE6ex0XzXJQEc21waikQjLS9eMUu6f4kHaf4YAhTyK+emH0mzMVTBEPlD28VzEPzvxzDUEpmcRlMJxY/cHFSgEMajLKotsPdfXnlMNm3Xj7jr/UvagprP7gqgrE24oWw2plKp6D38SPbWfQ9rWw1Md+K3+pYcoXz80Nzgj5M4fidjLJRjeUIw+dXebg7XuI2riiGm4tl8ywM8AhCXEJnE8ivHfS+eZqH/23a0OMqBrNf8+STv+MlNp099jYZzpAxVZhkCa690Jc0zV3qd+wV6fRvk8F7nk/EQYgvCAqOnXu86WkgmFP3Z9hFeoVXd6/N9pINwZs9r8UZlBbqJ3RqLQmKNthMFcRGUK4Y4maN6MMsGkl3xjyXCZkcDLU6D358cTTT6fdkwEssfPrDveo50KaW8yfZEnOJ++Z5iaBvRpiDcSI/zAWve+FMq2zo8VBMUmcrW0fMt+K3Opa5wLTlalaCUNvw5HxB07YeH3fyHRcbVT3okaAXYgw6m0DRGdsbxhvv8vzcoljfl1Dfm4YIU3cXCvp+e5sMXqfs45sp4RxkzpPiHXtdk5vV3ofD+oS593m20t4hPQ2kuc6kWZRF99psL7maNUuqqEv+vk1JULTBnCqmJwSjEmWLy8FqQd8f81wmZJrBgkzEAH4xnb4tFFsmzb2vvNl3uJE/Sd1/aAl6Dq2vJehDpfLB+PUg087rJS4X9P2tbAUx34rf6lhyYCw1w/QSBuiLgj7bm9q1XKzmp1gWn5/NuwgjQS/EGHQ2geZrB6td7U1l/2ZTkzlBHzYQoaXs4c/P3HOCPr/Wm2+qFfY2BM/C1+ZcSuZ2QrlWH1Ozzt6GYDUz/p57n1++jGEAehoIFor0xFZ0r/UAeFHQLxqnzUmCab4N5lQVXf9iOmtB3x9zM/ImzWD89MS1ByHrijlTL+jPmhVurn/NJ5u6nGf4CrqDoG9eeAlXEfS3swCM+Vb8VscSAkPBs4Z1mtxke9bptPzFL7CYljobmKzxa/JclZWgF2IMOptAfu3AwPfr0YkNozp0CHq8kcJJuvbia2dORtu78eufNK1y19nbABhrhg/ceS58TqDU79hrsdreBgRnJkhz+KAxV4K7oqeBoCYsKry6e60F/Vwr48kerdOUBD4BoQ3mVNEWPDe6pgz1AWpB3x9z80yTuWBs0RD3odoXgh7CDH+fNZbuFPT1DP1DBP1qo/nAtWbob7RMP+Zb8VsdSwgcPLV1Cnp8D0JLsJ98VUO/y1c/Lm/ax2OlDiKpP7YOM3PTX1JCDElnE8ivnexwPbzNChMCSsmmrxUI8TkZ3QOm2Fe/+mFBFGLLDjosTJbUc5YDV8fy8JIVw8HRHkozOx88yIa+oyhRb3NdtaxjA1nsXov24mtjs3Y1V45Op/ZVS4KiDTZThXvlOf4QLKdz0Ya+M+a5TMjMBeMkvT173va+kFjIxrk95ixj51YeUnDfyIZ+0cuNNzHCGf/uysGYtjDyXP3OuVzQ97Sy1cR8K36rY/GBs28gb3LjJ678Y6N2sl7+SpsCYtUL/p5zWzkd88tXR7/QNrA3t5VCjEpnE8ivHfSI3nKGbzO8qZoCBa8O76Lbx4lL0KNfMmvQ7KeBRUtn/72s7QAAIABJREFUNUh22GsJ06hhmjDrXbyrm9Och9s7h4HOa36awCysF3B+BSSAk0R/pjlogVnOzj1X9jQQihXLMRSKZZplsq+9i90rIglFgClbf2FTFVHh2R8QN/CSTj8ZhSQo2uDUasV01+MrBk7WVjGLgr4z5rlMyPhgzRn3ZnrypCfeCdlBjXdVZH/Aw2MzJVTqXkZz3VH2sXM4zUdwgiAXAYP9Ojpw5JmcA76m0eirOWfPk/4W3h0qswUuPvtdRl4u6Hta2WpivhW/zeH9kvIkKwpct9JfknVRqDo4w60B4F/Mf/jGY3MDF/yXmYKKlXs7+H/11XHOaSvTcAc3Drems6SEGJWeJtB0nweNC2eOsN9gGLxteJX39hi2toCwwBn4SPZvIT+PeBbNHUn4vIf08RpWxb9Ontrzx3RMr3oXyN5dtwdv9WsZns5hd5lz6U2lwjPsBd+OfDuSlQdSDjuE7K18t3T2EX6KlNKNcqene6VeoU9qWFX5Rkc1lqso1aHXYX5oPScJ6jaIahCkKkUII7RL/AQftQ1zgA4o63nAxZinGeHU5NNpM7uwkdZU7ltHuyNKLORJ2OHrkKjTwxqCEsfqI385gvnX5uReUP7u9MTlKxv/9iXFk9hqAO+xw58KkGOGUDq5RuXPC51i2vu/b+YSn8irTe7MwCeqW9klHC4U9Lk2sBfkNt2oT+hIfC7Y38ydvJUaOhvWlWxL6seaIH/BCd4YQrHlGJ6UnpISYmAWm0BehMoPhl9Pm8Wwiwpdgr2m2W9BmoRvo9gakzGHfWTRu5/7ORV97dxUGfpm9u6+p8E0ytyFYfvGOcm+Ls3nYkmdE0bQQGGzTxZBVjYevzEkp8F2Tn8fEXLP757W073y2w53jAp9d2iJWUvRLR5EsJ/jKyRB0QZDw/c1xzu2wlixSGd2C1NkYxFzTtKhHDxjRPRpZn9MbKOWz3P1TrM0id98N++92sT7LcTlyBx7xrCTHV81zdfmdCxTbu7740gzezFVEZIacizkJ+sVRvWsUeHd2L8ldtMpUJ6JD7/OVZi5VnYhh6uY3DwEdHirX9aY41/tXWFTbLykhLg1W24CmLZ5LhvuPKEonpq7NRAtQb4nmKFvjt4XTYPEeDyxoJ+OY9M5G9NFgnuEp2b7JSXETdl4E4ANzLOYcWMu/FlSK3qQoB8SGAo2f5Kg3yHPLeibW0/38P7+nhd3Py/bLykhbsr2m0B2FL1NvBsTMQwS9MOAFfD2L+zU56w1JOh3yHML+ulkPHpW92OB/QKFAXiKkhLidjxFEzBBv7gA7rFgRYHU/HjcrYFw+emtF2DsFm/cP2d5b5kPq/Fbr2sXm+LpBT2Ab4eekHABcev03JknKikhbsGzNIG3t7fNanoTAcVqWvHU3KeBhCWAUpO3AO5xii3nzlq8K0ZiEEG/c1RSYueoCQhRoAYixPBI0I+ASkrsHDUBIQrUQIQYHgn6EVBJiZ2jJiBEgRqIEMMjQT8CKimxc9QEhChQAxFieCToR0AlJXaOmoAQBWogQgyPBP0IqKTEzlETEKJADUSI4ZGgHwGVlNg5agJCFKiBXJG3t7dPnz5dd6f5nz9/fv36dYWjz9+/f9tV8Dpv/1ra4LbyDu65e9J8i7wSc0jQj4BKSuwcNQEhCtRArsh1RerHx8fLy4tFuM5z/5cvX3AV/NMbdubWgr4/zU8t6LHt8bp9FfyFd9s4WYJ+BFRSYueoCQhRsJ0G0r8LZOBJRWEnmFY/V9BbZtpV3AwOmn5d9q5gXZo3Dj5x8L82dFkn6K1QMLKSoBfnoZISO0dNQIiC7TSQz58/r1Cc0FW3SM9GWCeOTSk+MFvGE/RWzT59+hSeaPXOxygdCXpxHiopsXPUBIQo2EgDwYzyCkH/7du3jTzCjVgnjqEXb5SkRQYT9JxTl6AXj0QlJXaOmoAQBVtoIO/v77C6PlfQ0zr8RgnbAhL0j8UqJy1kJOjFI1FJiZ2jJiBEQU8DMU2DlY7T0ZLYO07xYb5//25hTJSbzrY/LMDHxwd//fbtG1S7nTcBRPNuLI6cWylov1L9mK6ymPkTVKMnn/GPyTB2a4sHa0btb3s0/GR/MFXAO4rJFhcZeHcJKs27mrFbLFr8I6+YFfg73Noy2YexS/KThvy0Z3l9fUXmI6SVDs/Yryg+w/4ISfJLXUO596d5Ma8sWpQFHhAy2v71TxfIi1MtMCoM08lHK4qYkt3nz9SqnL5+zt23SDDwgp410G7kq/d1OUjQD4BKSuwcNQEhChYbiGka00PQH9A3pkKocqCZoOZx5vsRSFgIFMyjm3b8fQQhTUJ5aQWJE2boISJxC9OUCGMnQ/r9I1gMSFvWzXZHuxYqlhYUX04gHvuD4WFoAQlI1RXu7rHYkEIvUqHmMbCBSK0nZfGxgjflEMWrTIyXkFd4XiOIyJAtlgCOKxAVIkdeWYlYqlBwOOOVJZIE3zgWD/IqB6jTvJhXVsocEtDrJSVykWN+cSpHHYQJ9mH8tX7kyQQ061h+Ip7nYBXY32HYEPBj1JC8Gy1clqAfAZWU2DlqAkIUdDYQinUoFVoVe7EFmYL5XQsAaQLNFBQSlJM/mQW9KbwgHC1OP07wCfOR40IvzXHtwXl9gej0y3BpvcPILXlefNu1i3ZBmDD2V0Eo+wCFoMctQgDkjJ9WD2nAs4SrcrZMLUuYPLhCPvjhUJi0xjNSs/akuUnOK5RRKF+UeD3n7ZW0Rct6gjMYilCs+xrLjzMYNPr5/mb8c4IeAyqjU5dT0ONhfYJvZKckQT8CKimxc9QEhCg4S9D7M5wZpXZpzrJDMgYjDUof2uTkazFgCDOdWDvrNVlTuebYTCf58UPTyBvyjgYqQVlOf45YmjQFfZg+L+b48XThpiGp+PqRbxryqlPQ5zPhETA6YjH5yFGmPWlukvOqmexmpQpkwZ2N1L05Vkjn4eSbf7Wg5/m5kIGcvFtb1UvQj4BKSuwcNQEhClYL+umkuYOKCtoLYbIgC6Yd4VpO1oar8kigGSyLxWDZ3FScEK+Hkw33YYZCcuX7Mk7T8Z2m1SGvQlL95G7AX9jMlhWCPi9LCJq1J82dedVM9k0FPZJB4yXO4h8k6MUGUUmJnaMmIERBZwNpCsRgWdHUXllr9lxLPT2XEoacC4YIacQfLHCaitPfFH/n1Z81TZFK63/8FGa7i0drJtViCM9SRBVOrhb0hUV4T5qbbETQTyc7KFPzHH1J0IstopISO0dNQIiCywU9VW9Te8E4GCYN+do5cx3a8+RZ7ZCSOUEPvQjrFIu8xyYEl0Au4+/CuqZJU6TyJzxjsWKyU9DXCttHFU6uFvTFwObZBT1XEUwyuREbRyUldo6agBAFlwj6YOY+56nm0PI5Y1LbS9t8bXMkAKHvRc+coGec8NwSfipMbiDicaPsPQZeXJq3m1oiNQwJkBt5eOMTHIzsQ1LnnO1YnH7u/1qCHmtkg0ui6Wj7hDFST5qbbEHQ0zUTLpSgF5tGJSV2jpqAEAVnCXovGWHOXnuqmVprZ3nSix5/Lf6FlAzz2Tg5Zywebk19ltUV5F3T905Ypwvv4EgD9hg618uND48Ac4KennayuT8HBnwoSy2CwcH8Oi83i4Kevn3swTlPj70IkCc9ae7Mq2aybyroecYy0x7H29DnFcZ4IntMFl+PoLfwGJr63JCgF2tQSYmdoyYgRMFZgt5UnXep7idu4Z6yKeMozenIEtf6MNBSdtIuD7PR/qZ52yN6nTfmLPWz2Xpwb0Lv6d4yh0/kKXzUMFqK3enk5QbRQjLWTsq5x5BFZY/z489trfAgnFcm4UtCdsHpc4NfS+h71H8/gdcai5CZ5i3LiY+5J809eZXHBvTnWIwNvB96BssbC/hMY5KC83gmIOSAX4jM8/m+zZT4a1E/me1MXj5zdQ4S9AOgkhI7R01AiILOBgK1gY1FIWvok35q+UIJl3sXIiZZ8hR1cyJzOq1nxYVYthguxC5Lc7ts2o2aO7Nyht6nKo8HsJ8Ud0idm1n3WRTUm8XvJZ39t1gUy7T5vXjxX2zLxTB23mdLNrbxQGfn5C2e8dPMdUb1pLnOq+C9BxtLhWA5nmaae6LiVyDuIOsHS2E3XHsKbnGVPdbzvs3cyxU7BPt6JJypa8gKDhL0A6CSEjtHTUCIgs4GMqeoNs6chUyPkbcQwyBBPwIqKbFz1ASEKBhY0JuUD3swEQl6sSsk6EdAJSV2jpqAEAWDCXqsEH1/f4ddctMOZ5KgFztDgn4EVFJi56gJCFHQ00BoMVw7G9kC3pR5zhaZ/kzg2+TOKRTi/kjQj4BKSuwcNQEhChYbyB1W7F2R9/d3rJH1a3Y9zcWg90+nEPdkQdALIYQQQgghNk4l6G83khBXRCUldo6agBAFaiBCDI8E/QiopMTOURMQokANRIjhkaAfAZWU2DlqAkIUqIEIMTwS9COgkhI7R01AiAI1ECGGR4J+BFRSYueoCQhRoAYixPBI0I+ASkrsHDUBIQrUQIQYHgn6EVBJiZ2jJiBEgRqIEMMjQT8CKimxc9QEhChQA+nn58+fX488OiGX8vv3b3uWz58///jxgyff399fXl7uXx+wue/r6+ud73tdHpV7nUjQj4BKSuwcNQEhChYbSN5alZi0NTXW3JB1POxJv3z5ctj8XrmLWHnZs3z69MmehYL+7e3t27dveQeiOzCAoH9g7nUiQT8CKimxc9QEhCjobCBQXYbpe5wxEfP582c7YzJ3naY3DbTiqnsSUmiPPICgByhQP0M/HSvDdV+YJtNZYa7O+/t7SP9jkaAXt0UlJXaOmoAQBf0NJAh64+PjAydfXl7OvS+uPfeqe5JTiI8VEvT92JDvdoLeap0EfScS9COgkhI7R01AiIJLBP10nMNep2Nw4blX3ZOcQgn6s3h9fc0V5lq8v7/n9D8WCXpxW1RSYueoCQhRcKGgpynOWTf9+fPnltXPNJNCCfp+THDDTP8Wgv73799YzyBB34kE/QiopMTOURMQouBCQQ9dZdIth7eQnL83EWwKD+c5BiD2K/+mRPMncQa+WeBnxv5GAAv/8fHx+voKny12/vv375+O2B8+PZYAnx77e05r5hQiVV7Q2xksIbB4whICrDrFr5aMRdH59vbGbLTY7G/Gw+fCHSGRX15ecEdeaGHsbx+n5YlFhfD2Ly8Jz9gj6OfKkfHgSe1fuwtWHVhicGtfxM1nD8+IlNelaQFwR09naqfjUA2Z1ixiSzmd1dgdfcotZtbJ4CCoyL2NcJCgHwCVlNg5agJCFPQ3EOgVL4LpACeLG5NNJsIQ2P6FJvPqKqsf6DAfFRahMpjpPPqZeTlCaQX5aArMfvp+BGcsGbjWpCG1NQT3YWnyOKeQgh53p5b1SwgweQwBbSCRxRoDxImUQIXjpvY348dz4Y7U9BCmdgYq087bJf5huVgZDxskdaegr8sRKcR97Ve7o78LElZksn9GXzSLpTmX/sVaB40Ojzr8hsDS8c5qLGbe19KJYkJIS2Suq83c2w4S9COgkhI7R01AiIJ1gh4ORnAmq1UsJ/VKLmvKrH56JCZ0FcWrJQN/QKh5fzuwmaGbGlzoZ6ktMesEvdeIeFKTpAxjueEfE9q60LXwhhnChzzxz8U0eD+PkM7UuzBe9zm5LrcXyxGC2+fPWYJ+LiWLpdm8ajG1COBzu2lYhTP44mGXoKyh4Bl50/hKgl7cFpWU2DlqAkIUnCvoPSZem3LNBJnXuJOby6dEu0TQZ/uNfG0I6WdYgYm51TP0c8Hs6Q5/TiRPJ10b7H9Cyv0lPpGd8+ghGL5seCOcdbm9WI72aGEK3Cd+taBfLM1mmMXUYpwThltzgj4kErP1/AYiQS8egEpK7Bw1ASEKzhX00GfQanMe6L35e4Dy7s6CfjqZ+5vmM/Xc4zh/haCvN+Fq3sU0IqbwLUCwg28+VzNhzWDTadUBTcbPjXmxHGkTZTo+W6vfWdAvphbz8YsqPJ/xeDMhCXpxV1RSYueoCQhR0N9AvDaiJUnTOtyEjjdsKGLzZ24t6KfjHC3XiS5uTZpT2Cnosy6vwdJPxBMct68W9IjTYrN/4eFxnaBfLEcTuFTS9gfnsKdHCPo6tTC5saLncA5nwvZhc7ocKxwsS63mdI4NtoME/QiopMTOURMQomCdoJ9OjsCzKJxOSq6eBX+IoJ/+XHZZ+59ZLejnrGtqTC9iBa3P5HWCHss94Quo85JmsJ5yBPQA4+XyQ2bo69RCiHPJMhwB+UHINKPLcSFLViY34gGopMTOuUMTgBs1w/clb29v8K83d9VNN0XvxBKwKUfO4v6sFvTTySj5kKzG51y7WHiKpzsLevuvnziH5G1625y79dzdfTDOAQf7E4wimneBc0b+N6z+XCfosYLT69R1ub1YjmHogvD89HFnQd9T66Zj5vCTgv2dLYWautzK1BvoS9CLB6CSEjvnIYLe+9fL4eFCO3ckhI6QM3QtQop4/B3h2jn/hKm1nkm4KwI5VY8lTNnQkfaiJvAOuRdNKYTnEkE/nbRjkLA0JadgQg2c83JDP4OhyXDAEGJeJ+jDVVjQufi8dQqnmVlti5mW+pYDVjkLLzdZVV8o6EOrwTADl7Cl9w+finIMnoIQvinoiyZ8uaC3tFnCemqdvVpXmFrhY5T/+OBNborPINtBgn4EVFJi5zyqCRRf/IvefUq+t8O1ndu1+Es4upjLCiybu6emr3d5hAA6HCfbLDcWEwbZh34azqcLt98i0NlAOJIMk7JWOtzlx8JQ1tMonATRj5r87Uiwy7czP47u1WnVY2cwv45og5kE9w31xtCoFQyJ9mgB/H/rIWVOIe7uh+5MIaf/ucjVU1RIClPvM54ZAk3sn4uyle8QukXnFlccZVls2OyJCx5+nNy955j55smO2+fKEYMifJ+hBQszB8mworFIiqwOKekpTX/GYmbIOrUoLDjvB/B05J+XmRAWQiAD6fifxlF2R4Rs5t52OEjQD4BKSuycRzWBOUFvfU/Ru/tNEPOveTKvk6Z3tpCqsDLsdnC7luaz0Bai0x4puyOEJDp3YeJuWWwgTc8tvuy4QU/4iZ9NvJIm2AOIcpCX0H8IhBGGZ/i7mYacvHzGQmLbIzauni85IYU5zuBWhQ+O/aSQJ4s3QjzMQI72m88V7ogJ8hBscnqdd4fS5WAsxxw+/fkXV1GO3nwl/2qlxo2xms/eU3bN0vTPGD4wFqnlUCGD583Zm5+FBWR/sG4UubcRDhL0A6CSEjvnUU2gKegxi1NM4VgnMTdDj6nQ1fPo6I3q1N5BBKO7nfOyRzXfP8uFPtiHz3v9iAL1EWI/4KMfFlRwnh5TDGEdyGBI0I+ASkrsnE0Jepjaz12CrmWascXkRvcWJkx29gDhWwQIq75uAcYkcOScBT2NN/rXCnvjYA/i2ea3762hPkLsBL5gmz9J0Iuto5ISO6ezCZiIhMUnRHOePPb7s8Drmb82L2PNgj4bh4TwNGTPIpXKlVjPdNZs/aKgx+PfVARbGvwX6pDJP/7cp70HLE3LzqfxsFod24P6CLEHYEDfNCyE9c6dHQPcGQn6EVBJiZ3T0wRgLMulXRDufi7HVLidxLw4FmNRfNtVXCDl48yCHmasTcNxTE5TTDdnnadjn2S3o6Hn4p4vnkVBDz1db1C/SB0/BzNNQY9pdcyi4e/myCqnKo8B8LDyyNmD+gixB7hYGR85aW+Dd/vwX/Mk6EdAJSV2zmITwOS3F3+wYqf6hNz38zdZL/YIelzVtFP/9u2b/+C7KI6RpLM066Kgx0DlRsu54LimcJlHbyGW7fRDgmcstumpBf3dlvk+NeojxE7AbgB+Xay9KOy9N/bcPJCgHwGVlNg5i00A8+vFO906gGAnAx3pJ8h7BD3CZANx61FC/IuCfjqNOmpH2p5FQU9vEp0R9oOPHn4OLAt6OqFrJmlu/qwW9HJe2YP6CCGGR4J+BBZLau7T+RX3sJz7WL9B105iPBabACZs6hjmCGH8VZ2CPkxdz8XWBLK1c4HshYL+EpOb8P1hmt9KJr8Tao/1Mrm5HPXmQgzPQYJ+ABZL6rravR84373/fcXe6GkCi4K+sPqYi6RT0HMl7hxF88Ssdqf156Nm6GlLMweyaE6aFwsPpnkzIS2K7Ue9uRDDI0E/AhL0YucsNgGsvyxcsB86lp+uFvQmWL8mqHS5vU4TWNLXCSMPFPT5Abnm1f7GYAl3z34z5zzWM/JDy+4IxvfDL3S7CurNhRgeCfoRkKAXO2exCXDX9HCeIhLqM3sp9tP2PYIekrrH23GnsH55eVn8dBDuXgSAUf59WmVTpkOFBwsizNDXW3EdWhtLneUCaM+oNxdieB4v6K2DsVe872ixI0mxK7i91vvtJq2rGH4KR4Je7JzFJsCZaW+h4Req0nzc/oDctH/t13O93NTWIyHNObYwEsBW5MH4/vVIM856p9hpyW3ldWkKetjP+JWs8OYZNmC3q/x7G/mczfHvsOvtGNxN0FtpWh1edEV6dawmrNsziFtPmOR4xvUY2B/j6v3sogwD1kjz7hwFFtszZvKzsDlBb/UDPeKcBoVD6P747f1i4Xe1PVgzgAS9GJjOqW68WCAf7d+wUNV7OgM+QNMZC15WXnMXO5vkNIdkY37dbmrvK7udRZ59JzMZuUXTkL143SET7vM2mDOkQRowJjHdYHnVdBgaXh12FeUFtpqSf5t+7tObw2Pgub5WL2d1F29NzKqfJdvazqL71A3CzRyu28/i5VPIMGDijauDzop8+A2eHsXjBX0TvNBzTcJ+K+fGBn9qA2t6CXqxczpfVpg7xGxc2AgWWI1lAL9LK03eOYs/d3I6TpNnM/FmmkOy4QwH57nfagDz2Xna/pBo3rQzbVehsIz3+ZwLArP4+SuEncFVlkuamz+Le/bm9YqIqxM+o/WDATArEjR9MyqreA/pQHvIHwmvxZwMC5wr6KfTV5Hta/otl3uTZxL0aH6d7tsCuHZU2xsJerFzHviyysBOfYNvm6BgxH4YVdBjjLfuWqSzp2e0W2xW2D2joJ+Oi5q2vyXclsu9yTMJehvSXVIDLM5RV1BJ0IudsylBP221u3p5edlgqsQdGFLQf3x8fPr0abXf0k7Biu9FmxV2TyrokewtTy5svNybPI2gh9HkJWYzKJ4hDW8k6MXO2Zqgh5nfprqr5uZWYicMKeixGGPdR/upT7DStn6zwu5JBf10dHh1N/O/c9l+uTe5jqDnOvGmdSOcRSB3rPzCrzCLD9Ux16S8XSIXh3mbUb/TYUhk/2K1p0OCXuycrQn66ajp7W2zEcMb+ImXmt8tiw0kbBJMOZ67VK5jnlsC4QW9v5x9EM+E3qGWCgG7aaEIrcIzkXC5k1ddZ/0QgMcOH8bvIBEeyu8sMZ0WjHI/NcTT3HHCy6fmwp784D6XsHo15CTC+GUq1E79JUIZZiCFFmH+HtLMPbuE62Xn9tlAgMU3pM+fXEUtn+lmJ2dFkbf2N5cUH47KkClpljuv8ut//KjVchgGYPDQZX9YgKIOF2W0IjZwuFzQWzosy1AzOKwJC03o0ACZy2lyCL5cHYOgtydvVhp0mfiJeWFPbiebo3aEHK9XWyypwzmCPrzZUTThbdUflQS9uAOdL6v7s4VlVZYAbae6c3oaCD5iH5IhhP3XelV0qZDR/NTT3Po3zNBjGXfog7L2qqVCpthRAd/zLarfR3Cv/HmqcwY6BGPa8sJ0uKWyk3ZrKBNsqQa3Wshbe0YvTiCfcAb5X39Gw6c/XoJd55o5SYFo0X46QsHaWSJIs523a7lP3CE5AsraDKlC5PZvuDvpcaGLVKFWUF7SvZV3s2OxIalUg3Xe2hMxVZgdbvra8lmEzMfAAHKcifH+nV6O4PI5T1x1GZ0bmy+LP/5b/NYELSdXC7bD4I82Z1zzg1HISoRpWsAji/moGJDNpfYZv6H0cF1BPzlvG5z/wDYuYZ5jEQl6cR82K+iF2AL903NZRlufzjMQRvXmDNnkJmuj3O8vSoXAnByEYX2QPpB94eQ6Qc9b5MlBb57A9HMsnfUohG8WkYW1EmSovySPqSwZ4cMFSs2f7CkRikjejp5//ZgkVABIBR9zc9THVBUKIW8eB8EZZasbhdol0MR13sJeo/k5ojgT/P1jcOvD4EmZYDs/V3t7yqg/Np8Vf/y3+K0JfDnP/YoxdJgsD3MAPYJ+rkIAti4LVo9uF1vLk3J1QT+5tw9e5WdtV0kk6MV9kKAXoqCzgaA79qoCs7n8L/p0P4V/FUHfIxUCc705phTDVdyiwd9itaBvPqMF8BnVFDZBj2K6N0c7p6nwFOGSZk7mztr35s2HmhP02TdJPaLDF4mcwjz+4fnmw04txd801mhGUuctRKPPpUVBj1uHsS4/YvhbLCrMzjJasRblIkGPJywUWzDe8DCVlwv66ZRBi41Tgv4skKuo9+v2cJGgF/dBgl6Igv4Ggl6SqsL+aPaY2BGWBsr+pxWCvkcqNNOZf0WScn8X1FIzVcWNQjDMzvo5YOsivWFbU9hQjyK2uUeeK6ymwgs3mtupOnyjWC3okQa/FjEkuLk+oSnPFgU9xj8hD/MlzUj689bb7RSCPi/aJKEaLyrMzjK6t6BfXF6NBNWfCa4i6KdTM67DSNCfC2pe8d2zRoJe3IfFJiDEnulvIME2PVuKczWh/cuZbx9gtaA/q5eZ682b2rEZ/hJBzzRDfsE4xKd/Th355B3O3Ji2+cjhRnPZEkTUakGfly6ECvC12z/4oqBHrnr5gTPBtcmcoF/MW6w6tRK0h1qcoe/xs9kpwTvL6N6CHplbtEMkqM6Cqwh6C4AFEPXzS9CfC2cU1mWaBL24DxL0QhSc1UC4YhIuRPxPMMX86jwmXVHQn+Xmda43R+LzKvAeI+niRjkYTahNCEGB+F9rQY/cO8xb1xQpqQU9zNyzN79QKKsF/eK0mGNhAAAgAElEQVQiClzVMzZbFPTTaZKe61DhuahpmhUurPMWay+tqnCpbqegrwcJnRK8s4zuLein02es3HiQCBRGtmu3TOSXr/5FsXMOqiwqZA2N6eea6NzHuGfndoLeCoKrrVfEIEEv7oMEvRAFZzUQmjoYQTzBKqBYEzmtEvQ9UiHgJ8g9c2oJjv9qNyZNimBMQ/biUpjcUGhi7JEfcE414nZNC/WQk5aecC2yhU+xWtDjo71/2FABvO8Xj6nEUJcKP0UeeP/EXZqOgJuCvs7bvCvRoqDn54KQAHikwd+dEryzjB4g6HFLuiiaTs41kVMcwvrV3/CBdZaXmzm3lVPyr0yz7+YA0Q+OR+JGgp5GgXWuFkjQi/twB0FvL/TPR3wrwLfaopI/ym2l3XS8T5FiNWc1EHbcuWKHyR1+pcdVOJmFSHZkCe3C+HukQmBODjJJwS9N1kYrBH3Tkr6ZjOYsZNCRXDlgf0DswhP/XMvlo2VjfT8bDS0bIoHrTP53sUSa+YPnrS1eOO9O8Q0/njmLetxWhpUJTZrisM5bjEv943O21/u1DOWOM5YDVoIIBn+AKyT4ijLq4VJBz4xAlfp69KnkB2dcrurxAyMOOr2ZVJ74b+5BgM9//oHpYJX+Rwkaw5D68haC3srIl2Nz94pFJOjFfXiIoLcXVLF0x4J9ndlRJdDcNiWrgYy9XXltnruyJv/1cZtJNd/8+f0/d22xkY1YwbkNZM4GBh0xul3rILh5E6USqv3hzzlyirzvR+wnVg8Y4k8dUiGDZan5PGdA0evBc3wwwMhOJOfAI9vlltQ5u+ecTj4y3T7CkWK4XW77tac++smxeOwWfl2yJe/Xn9sBoe1wI6rmvpxFiUDiU7AiG8MrhVf5lw/Ugqfphz5MSGewQsNu+uOEPa+F91ExAbmuFnnLLRfw+LD7Pxzf5CygXO6Uph6GZ83veesultFZsZHDhYJ++tMHfnAly6RzEbEfzUxpJfKvI+EkQqIeh2bDMMEyzEfIwM0YxmCxpOpmk8nbC3DxU89WdkSCXtyHzpfV1ZmzlMVMR0+j46xbZnHLFcwVTae+Nvea6O8founpsjpTpwd9Lfq5X8ddada52BKecxtI8Fbpz6OT5VgL6o11NffpOP/DbZRjkfw6Onnk7CkopEIT1LHmJpK/3E6lFlUYFmZPLEU/hX0659ojlFkzAYeTHKQ6ao5Of7idRy3wYmvlcBfDKrQRuzDsMxp2k83R9pQI7JmZjUE+Bd9EPg/DXEOzjDA/Ujypny9ullcox+ZHgLm8pcMPnOcHH4ZplvvvP7fpZYFm4bpYe4syWhEbOFwu6O+GFW02jOvHrj1rAcoTsVhS/RVi+rMy8apQvTqjkqAX9+FRL6s5QW9vm04Ziumf0N1C5Rez+7iv71+zRwim5JLX5jrmxjOY0y0uxHP5rFuxXFJkttabXwXMmD72G05z2n7q8AG4czBFuNiu4YIG67M5T+/nMoTnmQQ9akDPJ+zMYgf51FxX0F8RCXpxHzYl6DHZ0/m2acoR+FMrrsprE6fThGWIsMfb2tWhjWlgsRvGlJvPOry6F62PRM3WevNrgZbyKLsy2JTPfSKQoC9YHNtPR/1QrA+WoM88k6CfTl+QV1xoVWfg4pegFztnU4J+8VPyIvhSXwRofihr7sMyHWX0FgQxxjmF9vIrLD348D3qdMx92GBvfi3W7WJ+CdbQMEJ+OdIMI0FfgLWk9TAME7hN0Q+7r/G8m1zOkwn66diWzm299LozKtssKSHuRmcT8Ja1zQU/fpFZWC5i12IKPEQYuu1sNHIuPZ8TkcLOrdSbHgXuz+KcHH0XhvOYttfq2EsYu48wSXC3Lt6bpBae3+jtozl/v2eCZ8I5uAIV9uW0t8GOQw9/m22T5xP007FC9LvysZDDl/1mS0qI+9DTBOBlgh51Idz97AC6CnTAWJrJaSQ4fcpyOQv6uW29+1m0t5lOgj4Y0swJ+to9XFjZNsfqxyGL9jZzGwiOuiHgPRm+j7C2cB9Nz1fH3FrPKS05U9Ul9o7qH5nD4YpfF2uvArtcc/NzPKWgFwGVlNg5i00gO6KGBQin0iH3874zxZ6I0/xuLJfYrC/a20wnc/mgfef2K8Hg5LFf/xftbaYlQX//pb0joT5CiOGRoB8BlZTYOYtNAAq4EJQmo4OdDPSltwDpEfQIs3rJSufyfX6PhrMzw9Q8bM3n9rh57Fuicw1cIejlvPIS1EcIMTwS9COgkhI7Z7EJ4LttHcOitckdBH2PvQ0wTc/1ANgXBoI+f9GuBf19TG563MzJ5OZ2qI8QYngk6EdAJSV2zmITWFSlh6WNnJqR9Av6ToncY2/TBClprtK73Qx9Hgw0ZXePvc00bxqkRbGXoz5CiOGRoB8BlZTYOYtNALPXhWn7oeVfJYdZLei/JnL8l2yXgU8QTdV7O0H/8+fP8FDNafgee5vp5KgurwGAcdHwvg1uivoIIYZHgn4EVFJi5yw2AVinZFnJGWUo/qxH/Xx5j6DHdPI6hxsmx9fts4EVAnOimbuar4j5Kpgi71wljGFJ3lhq1E2+74b6CCGGR4J+BFRSYucsNgHOUvs5bPubSy1pPWJ/wBud/Wu/nuvl5hK3lSZb5wxLXo80f6Kar11i33nzHWJSPk+6Azgg9vId+elzD4m/80634/FcfYRVibzngxCiRoJ+BFRSYuf0NAE6kv/8+bNJcPs37FboHR4DH4BDAi9AId/95vPFBoc1mIoutpEPljwWkp5t6vEDHvwhe0VP5W6a+JoRPh1YYBsAILVwxCn/NpfzRH2EDd642vvRaRHimZCgHwGVlNg5nU2ACtgkY9gIFpgyZgB4hMR5SM+w9LN5cjpa73R6qvHY7eYMSywZiDOkBytoF7eiXJeeq2AJLubXsQo2f3mAqx88oObmr8LT9RGdgt6qyqNGqkJsDQn6EVBJiZ2zqSYAm/WNLOLEFwPJ4p2zqQbSQ6egt4GfBL0QQIJ+BFRSYudsrQl8O/LoVPz/dHqYEWOztQaySI+gxxceCXohgAT9CKikxM7ZWhP4/fv3FsxF3t/fwzoBsU+21kAWWRT0Vrfhz1SCXgggQT8CKimxczbYBExGf/v27YGGN3brr1+/Ss2L6ZwGYvqYa1Kt/uQK7APAL5MFg6rmehIudPZbj3nlbX9zCcrnz5/zqu5a0MN1kl/B4pdW26+M3FJY+5BtroTJC2OE2D4S9COgkhI7Z7NN4FGL9uym2lpVkM4GYtqXLobs309HvKZHAFQtGytSr7OS5+1+Pz4+wlQ6vDbBeRHGvVk695jcQIuH9gUvSfg4ZrdGmNpREocHDIbHXLebhBCPQoJ+BFRSYueoCQhR0NNA4DjV62PodapzCPEgc+HsNYj14Io0KG8o+PqSdYIe69F9CuEhKic7AAepGL1sxF5OiHORoB8BlZTYOWoCQhT0NJDv378H96bcAAGGWyag8x5hQVX3CHq7kcVDd6tXFPQYXQQzM3w0WPTcij0lLAYbb2huXjwjEvQjoJISO0dNQIiCngYSrMk9JpqxpUCQ3dMqQU9M03Pnh8sFPVKYr4Ln1sPMrm0ejAfyMwrxFEjQj4BKSuwcNQEhCjoF/dzWZtOMUp/WCnrT1t++fTMp//r6CnOXywU9vyfkkMHQfw5Y7PSEFGKDSNCPgEpK7Bw1ASEK+mfo59wiQS5nw5UVgh4K/vv378UlKwQ91gAcWnu69cQGa3ssG/j06ZPcQ4mnQ4J+BFRSYueoCQhR0NNAXl5eDi2HMK+vrzBWac5erxD0Jpf9wOCKNvSw3gn+nSD0a0MaLITFSADG9DK8EU+HBP0IqKTEzlETEKKgp4HQZIX7J5jMhZt5BIB3Gu/Isrm7U5jhfnt7g85GGFi0+wDe5IYnzxX0+JfOavz8Ok7WVjQ2jPELYWFMLyf04rmQoB8BlZTYOWoCQhR0NhBMTnu8fKdH+cPRG4zpadPBeZocZyyACWJ4jOEZzJ0jEgRAJIjT7g5nkbRlr/dlwwDD4rELKb4Rm53EVwV406d5TxO4rvdjADjGyZP9QmwZCfoRUEmJnaMmIERBfwMxMY35aUzVB88wprA5Tw8NnQU9tiiGwT0Euv3XrqJndwuAOXu7ES60P7iRk99ctjZ9YTxBr1s8/hFqj/L+djjDLxWLCRBiU0jQj4BKSuwcNQEhCm7XQOZcUgoh7owE/QiopMTOURMQokCCXojhkaAfAZWU2DlqAkIUSNALMTwS9COgkhI7R01AiIIbNRD4bs9W7EKI+yNBPwIqKbFz1ASEKLhFAwmrV9UGhXgsEvQjoJISO0dNQIgCNRAhhmdB0AshhBBCCCE2TiXobzeSEFdEJSV2jpqAEAVqIEIMjwT9CKikxM5RExCiQA1EiOGRoB8BlZTYOWoCQhSogQgxPBL0I6CSEjtHTUCIAjUQIYZHgn4EVFJi56gJCFGgBiLE8EjQj4BKSuwcNQEhCtRAhBgeCfoRUEmJnaMmIESBGkg/P3/+/HrkutG+vb3dItoHYk/06dOnb9++PTohF/H7928r8c+fP//48ePRabkUCfoRUEmJnaMmIETBYgP59evXnGdr06CmdUz33Cepj8We9MuXL3jqK0b7+vp6i2gfywCC3mq1lbg9hRWNBL3YBCopsXPUBIQo6Gwgpmkg4k3f44yJts+fP9sZ06PrNP32BV9IoT3yLZQ3hkzPIujf399vKnA3VStQ7SXoxSZQSYmdoyYgREF/AwmC3vj4+MDJl5eXc++La8+96p7kFN5IeT+XoLeyvp3A3VqtkKAXG0IlJXaOmoAQBZcI+uk4n5o3lu8BF5571T3JKZSgf39/v6nA3VqtkKAXG0IlJXaOmoAQBRcKeprinHXTnz9/rhsG3I1mCncu6H///g1z/xsJ3A3WCgl6sSFUUmLnqAkIUXChoIfC+/TpUw5vITl/b2r1/f0d5zkG8Itr+TfFkz+JM/A6Aocw9jcCWPiPj4/X11d4I7Hz379//3TE/vDpsQT49Njf4VlITiFS5ZW3ncESAosnLCHAekr8aslYlINNQW8nmQPB0Yp/Xnso+8Pu8vb2xl9fXl6wmjPgY2AYu5zXAvsvi9Wezv7GJXiiZoSB7A7I4rQ74hJ7NMRv/xa1go9cp3b6s6aFejUdyx1VwoJZwuwPi8TiRMx2IWK2f+0uoSgl6MWGUEmJnaMmIERBfwOBSPIimA5wsuKBckJg+xcKm+qNsflLoMl8VFiEymDeIczLEYpdaDLTbfbT9yM4Y8nAtSbUqK0huA9pcNJ8Xn+Gyht3p2r3SwgwjQ1paCCR9RqDLOhxBldZJD5nvPcVJAO6H4FNodpPlgAIVtzdwH+BlYKFscxEeGQpMwq3Rs5A7/pM6BG49iuSxCeycqTghtZnGMvAOs/r1E6nSsIMRwBGCzWPaFExUGQWA6oEl3Tj0cKwSoJebAiVlNg5agJCFKwT9HB1gjNZrWJpo5fLWS1l6dYUTyEY5KbpMChUSwb+gGjz/nZgv0GXKbjQz79aYtYJej8ywZN6VQqFzf9CNdaDhyzoIX95SQ6AvMLcOQLg0aDg/Rw29KvP1TDfz4eirmW0TH+474pvDhYPBX1IWz3Mq1PLSPhfLtT2GY7BA77YWEj8ZIOE8CyddfIZkaAfAZWU2DlqAkIUnCvoPSYfmzoV86D+DOfyKbwuEfTZ3DxfG0L6OW9gynL1DP1cMMhWr1mnP9VkkxwtvjBwWn1O0GehmQcPGOowJOaz/YQ9HwHDAMTsH8Fn2mpBP7XyEznjUxvCLKYWi3RDtJikz4I+FDci94MfCXqxaVRSYueoCQhRcK6ghyqCQprzQO/N3wMUVXcW9NNJ59lIA+YWnc/rzyzq1HoTrrkbFYtiTcvSsKdH0CNk/jbCkNlUnSAMjHZwu2ytfmdB35Panmibgp5gbQaqR0+dfEYOEvQDoJISO0dNQIiC/gbiFTktSZrW4aafvNlGEZs/c2tBPx2tLLgCEmbZZ6WwU9BnHVzTjBb26ybQLZ0wH+oR9DC58edxJqw9rcczWFiM57IEFMODs55otaCvU5vHMFglXN/IP6mFt3+bk/0S9GJDqKTEzlETEKJgnaCfnLVDljvQT7UOe4ign/5cVFoLtdWCvrCuaZKjhYJnPP0mN1gV6pcjh/Tgwp4hB3zLhEJ/iKCvU4tVs1wH3LykKehxITwmzaVQgl5sCJWU2DlnNQF+eIVDDOsVgvO1O/P6+lqb+W4ES+QAfd4+WS3op9OywkOyGp9z7WLhaQ99Z0Fv//UiD2Ku6W1z7tZzd/fBYAES/PlMp1HE3I1ytHCtWAQohCYcWWLeOqwonU5DhWwrZVehEOH6M4Tn2uI7C/rF1AK4P8Igzf7IA4CmoMfKY2+gL0EvNo1KSuyc/ibw/ft3uJRGZ3848RBBDzfbQRbgPFxQz11Fh81Nt8pz0PM0Ou9838UwcJvdebvLsdsVW9D7pDY7+Dl4IUwdrpfe7XKJoJ9OqihIWJqSs56g3s55ufHTyT4MBwwh5nWCPlxl/+0X9HMpnJIKhHa0mGmpbzlglarfyw0+fXhHLt7kxvtYzPUf9yqaIW2lfLuwP6zCM+Y8pmoKervX3I2uIujhuqdOLTKHyZujKejDAmJvjs/IJejFhlBJiZ3T2QTQibLP4NfYhwh6fDcP3Q8kUXPlFgNg0hEWzAjme7454FIDM17w9JynGHvC4PvGrTW9ZQsNfJsdLT36QbEhZI86h3xESLhOr92Hj0FnA+HyxGBPYsXN/YawzxHOs4xIqDAomm9Hgl2+nYGfclr12Bm0TUTrPcBMbgdTL+xQmgwJiWkB/H9roZZTiLv7NsUU+n2d8qZOdUXK0VLFIh9o+mIh7UbcVCsPoTG+smA/Tvw64oPRu7+HE96UsH7kwHcRc9XOFzIaVwXZjRuxDrDm+BqV87xOLS5BegC+avqXJ0skVF2ORe0qy2HuMMWZAubz4oBh+xwk6AdAJSV2zll6JWjowvvETbH+Y04B0J1z/gn9EHtQSNJFMYFn9B0kzQZ8VIthmPL7dH7BGZ9PmB8LcWefQ3J+F8huDfutjZ+axQbS9Nzicz580fIeEv0nnZD/2HmKo0ReQo8uUH4YVuHvZhpy8vIZ6FpLDMcePV9gQgpznMGZDx/cfyhbvFEzEpjNHI6aHpUZQ2i42szP69OcC+twbKrB4og7PYW5AzwXCzT8WowlSE5eeEZsLBWCFbWiSO3kNs8KYDvYuRv5Z2EZ4a1C3V/k89NxkKAfAJWU2DmdTaD5TfYhgh4zUk2jF4CePp/Pwp29e3G7bEg6nfpICpGeMGCdl48V4NGyoLf05KzLe+tkUAH8tXnPoCFRHzESVoGxOYBhbYHz1la9R63J9irgh4gfDnvePXxh60SCfgRUUmLnPJ2gx4K2IgCS2hnboqBvBghu8nrCkLCe70b0mEyQRUPYpjfrqbWT5XiojxgG2CzNTZwPKejx4WXuJwl6IkE/AiopsXMWm0BzExz8NCfo4f2Gn4CDi4+eMPYrZrin03de3CUbfswleOm5/46D2x9+LsAheRjkZ/3+MATT+bcWwSsEffHdgM40wnlk9dirY9VHDEPR9DCNff8k3RpMHzTHMHPbGO8TCfoRUEmJnXP1GXpYx0Idfnx84MIgweswdp4modbLYr0pbFrmTMNzUnseChPPPc62g9htCvo6DIF6nnPFnU1amyw+2lmCHsVRrNZFqvLIDVk9pBIi6iOGgQuRsaqY2Ej1XNf4zwK9DGMFEbCHnZtn2S0S9COgkhI757qCHgbuvqugrwae7Akz/amSTXljXg3JqG3Q+wU9DElrtzP4UBC0LGas6dSvJwyBH4xb2yn1C3rYIdSz7LWgH8DHRYH6iJGwdkFvLYfjCpDhJ6rtReS/smL0Uq+A3yES9COgkhI757qCHhNCQSJDwtJEtSfMNGOYjpN1B9wp6CFkF/ty79Pt9xHrIOlppD8MmZu5vy79gh4rAhfDFIJ+bEtc9RFCDI8E/QiopMTOuaKgn3MZSV/UJnx7wjBhNxX0+Oy+GGw66nWaAMHhN8S6n9XuCQNqQX9nkxt4VFx0jS+TGyHEwEjQj8BiSS2qhxvRM20mxOVcUdAXUpVCvCeM/28dpkhq/Tims1fPK+MRah1chNnODD32G+pZnjtnJqRFsUKIAZCgHwEJerFzrijo6dwwa0RK2J4wzf/6kxcK+p8/f15iJQKToVrFFmE2Iuixa0ynsx18P8nrAWBoJLeVQoinRoJ+BCToxc65oqCfTo7Jg5CFiGewnjDTjKBHMmr/DLWgt2svWcSJ9a91DHUYrAl+7KLY/rl5giFK3liqdvo5AOrNhRieqwl6e7fC2cLhuCbs5xH741GGifbK7r/19+/fn3p6RoJe7JzrCnq6dvGmJjjJa3vCTDOCvsdt5dxOsbiLCdBgBoON6Pnf1yPNy6nUC2ObxTC128prMbdT7HRS83lQZGfoPgi9gH+35xHCovf6MbiboOda6jt3/VaC6zwYojWhLT/jOgrsrHT1ftYGupYbiwvusWdtf+3CPq+dgR9Vl+aw9NhLdTvpyVxN0FuTwENyH3LwkCc/92M0+sLndWgqQS92Ts/LCksnD8mfCeR18PyIXspea1jeas3Hrg36dTEMprGzXoTtRzFBzsW1TcGKm379E/+5gPYwvtVbIum1Zu613BPGP/ut3ypYodscvdhJy+2QCZZyb1GDbGnuMICUIzPH9m8D7iPoMa+HVnbPrn91922tFaNWvhyey5W7pXbOD9UlWOugt/uijfutNs6K3FK7uIT9UXVpDo5wNpKeJtcR9FhsxBLibuEPeXL4Kz33qrn5nqdAgl7snMUmkHeKRc0M5/37ilN3h5PLlxxtESbEHBrC5yNzzxLgTxwhNOEbGB7x/RAFiamdN/eE6Un/Vch+cnzRMM8zXpChY8pfKjDNhocdfm4e9Pfml4Oyu1vXj82GVlyIYbP/njM3SW8VZrNe3uc2ur6c5vfMTHhH9dD8xtjkznUpE6Zdej6uPpDDVQR909zzISWBJrpuuwFc+4y2N4sl1dMsb4EEvbgP99QrVwHS/BnfNlNSQmL7jCroMTZbdy3S2dMz2i0k6OdYIeino1DuWQX0WEGPBTbbSc8i1xH0zRJ9yJPbsO+StWJWg59xdZQEvdg5Tyfop+4ubYO8vLw8acp3y5CCHluhrfY32ilY8Z1Hgn6OdYIeyV6cFHisgIZB0XbSs8hQgh6mPpeYzaDpPp3hjQS92DnPKOhh5vd089zv7++dn8vFdhhS0GMhx7oP8lOfYKVtvQT9HOsE/XR0F7v4deWBAprLQTeSnh4uFfTZhJEVq/nkWH4K+0UrTvs7t8Y6jP3NhcbW2LAKCp0i6p8PzMVhZPrTOjPcenGx2jaRoBc75xkF/XR819nb5okMbyypPQvaxNZYbCBh0QI77txdYjthyFx00KE++K7fXx52W8sy1GLGkuXDcZF6Pda1mxaK0CoqEwm14BOZV9Q088cSgBh8gsO1fCiex0NhwSj+5mLK5p4Jfh1Ozszmg/tcglV3yMlCRPWXCAW9gRRahPl7SDP37BKul53bKQIB6rdfU0bW9cT+S7dFdgtvc4FawVTZ33O6aG4ND9PDUsjOEuwnLlY+HPWkf0b7237FunzuzA3PkEU+dHK45ww9BrusW1YzkB3haYswfuHzyxHUOTSDZjLQZeIn1mnLPjvZHNkj5HP1WIsldZCgF0PT/7LaIFtecuexRI69nerA9DQQfKA+JEMI+6/1mOguIaP5iQa9fHjJh64fS7RDH5RlKLp+VDC7FzRZoXKKnRAwt2pR/T6Ce+XPSp0z0CEY0xb8YuGhcBe7NVSHXQttR7lvz+iFh0kXuslC/tefv/BZj5fYk3KowDCLQquzRJBmqE+4kMIjBP2adRdShcjh+yvIPNDj+nZORs7VE8zh4taUy3xqLnqGklws/fxoTDNKFpkTKqr9xOcNm21DzSNaewQ4h8SHpsMF35p8gv/4b/FbHUuPoLfUh/E0arA/2RMGMXPgZVlmmYWMa1rAow0cTu7JMCCee5aNf19rcl1BH8amwRnIWQJdgl7ch6cW9ELcms4GAm0RZLRJEJ5Bd+y79TnR48Nk6dzczc1fEpRQZk4OwrA+uCKFsAsn1wl63iJP/HkLOqafY+DsNhfCN386KCw6IBb9JXlM1SOiekrEz5biTFN6hgqAhaQ+5uaoj6mqFUKuS3U9sZ+8uoOI9yFDbq8T9H7QFVzfwsqj+aGDZ7wcBcjYy6dL7ifoMZ7Ozc+Pb3rC5Jj9ybnKwRaI8i5GwI/ytnkJ1xX008lM1r8C0ErDh8tFJOjFfZCgF6Kgs4FA9Hjlh9lc/hd9tJ/Cv4qgR7RhhhIxzxnezPXUmAFt7vwQbrFa0Def0QL4jGqatgezbOtkwxgjTFYG8BThkmZOLoqofkEfHhzCoBjR4YtETmEe//B882FBU0YW9QTh/YiU2YXb+dyzYOsEfR5RMN8gNX3+52zMZ65lmn8/QT/nv9MPnXvC5Jj9yUI+0oVzXYQS9IDTCWgblvkrdtyQoBf3QYJeiIL+BoIekJLI/mj2htjFk8bf/qcVgj6bLJO5vniup0aScn/XNI1YLegx9esny62L9DOsTUFPw2DENvfIc4XVVD7hRp0iarWgRxr8OsOQ4Ob6hKb0WiHoF+sJp24tGXkoyGlKqwY9U5M9dbtYlOw33hpN0M81Py/Ee8LkmJthmqA46zAS9ARDIAw3122mKEEv7kP/y0qIHdLfQIJterYU55o/+5cz3z7AakF/1uffuZ66qR2b4S8R9EwzekZ8wfbpn9N5PnmHMzembT5yuFGniFot6PPShSzoO31/rxb0dT3hqglo95B+rCg4/GkNNcdqQQ/HLVY3LLvGnKGHkVB2IOOD9YTJ//UnC/mIxQf5g9H/x97b49YSa9e6qwuCe2PPmdoAACAASURBVOANuAVyC26gHhxlN3Og9IQrMpwJOHAswA3YcHyhBhg7N3Z8AaXnJsrcgHrjrYE1MTf/ivW7WKzxBYJUYrFYZJEcJCcnAyToPawYBUPGMhL0Yh8k6IUoMKmC2I5JyJFgKocrt97T0YqCfpIL11xPzcTHWq1GVxUeFAfjJP3lZgFCdeH/Wxb0zL1L3rqmkJKyoK8UUbMF/egmCt5VIxhmC/qa74SecJKjO+9bpaz0Zgh67tjER2ibgPsU9LQesw0KBjOd71YTJo6ZxMZ/HsTMT9xWZHLVOLdg1zLbCXpbIpz3qUnQi32QoBeiwKQKwo745UZgr0wTgsKeyGGWoOcT4+1tUEU5Rzd+gtyTU7T0cB3vQJ0t6H0aYi8uBZMbE/Ece8QvmJu25+OSFupBTo6KqNmCnnN8/mWDD4APissFI4HgWyr4KQpeOZCRhe8k2ObH8PwYOED1t9BoqvD0GYI+PsuoT0E/3D/fINH06DQpTPLlc24rh8h3slmSJAeRfgB9FLYT9Mg3G8vOiEGCXuzDVL1ijorxiXJVtKkP9VGOLPHQYy1OikomVRCbe44rRdAX0NSEkVunGXfQwRX68A7mNRmzdxRDd5m5vjgnBy1JgV+aWDPMEPRJS/pkMpIzjIHaM4tw/EKxy3nlXB20V4uN9f1M/wwRFZdIMn/4vsFgKdBdNu9u/tfpxzPOovfpbitHv5P3G0HyTNAHaXi5uQwqPN2/GvNhVNBzxOsTbHPE9iU3Leht47YflCDpTLQve9tnyc/RPPP7cdtoGIv5JTrfJHlOASP0OWVOWM2Zq8EK01TXXsNGgt52+ZSHQAUk6MU+1OsV9B9oKPAlW1NDGvlQ2b7VHzUV7xKruZddbHI9k91eIzMaXFmtnFCwA2WSx9+cnEmCfsjbNrCTZZeKDsJKx2Rosus3kUfX3fiX+aigIf7gvFZ4yqft5GZYbZb6190fOX23+zCxE8kcfGXcjqTmbNPjdNorm9tHOqkMHme7io2yFz6TW4gHj/D7kpE8vm+N0KopEUp8xO+zMWgc7C7f7JgJu5H0Qx8sGsQkv6Xyd2LK2J+TYIMxRsV84J9lDc1sfL1BRR6nh4M0y147zIEZyx0Fl1v/4rdbXP4cldmpBQsb3stCQR/nLDMouOgH9MEhZ/ELFMLYVxjHPNy/9aBqBQkbol3YozG0z2hJlatNEmSCb3qSx9GNIkEv9qGmsRruft9MpphB8Ixvews4nVNfVW2+yhh9C0r5pHMSgyrhsZrePOdyY9loYtiPso/8dTvLZt4+/l6prCBG4K3SX2d9sVETuwabZ8110O/uREieG0OH4sF0nnkFqakIVITJ43h+uZNKEVUwwIs9sRQqDg+kv2TmktmGJBNwuQ8DTMwkx5nIBDvSNamIAvxJqLiXXztu9PlQI7RqSoQjasvGQBoFswk+Dy2RF6ehA37cKLxp7lsqfCeUHNYq+v/+up13a8dj1Qz7OQYDdHAZpyeZQtt5yGy3pSQ7zaomknlcVjG5aQcUWGw8V09wUPBRGC2pqV8JBzb+FvNmUHM2tSFBL/ahsrHyEzZGwe/YzqD9mSRD4/XlSgoGipaSJQ3pQsy8tbLV+hV5mJ6xybJvjtibj8IdcY9djUlO2w8ttSptEsytiFXoTdDzK6lfsPZwKWTevY9lXUHvh4x2VzCIrIxKgl7sQ+U3mbSabaTr5UROffvDOdTZ8+icqcr9l3nykO7W1Hx9VrBYfXg25uX5v1NxxN68BlqOPWo1iUtkuSWCFlqVZqG91qNT0Ru9Cfrhvl4840Z8XocztiGrz9CvhQS92IcOBP3oAnQA7Q24np6UFGWYFYUAUCr7C2Lb4FTfXvl9mR7Gc8QJmi04aG9ew7xDD5cAncCx7tuNZJhGWpU2oUFdIxt1eqJDQT/c6tvUGo5qeVA1P9QJ+iQrqvzYOIyoRRM7MFoFYqtZuyXX9dqZIJeU/WhNGLrx5oPKu1Bio5EypmKNGutbz6igT/oY2JrR40RizJNdcJ0vqN2x5Li9eQ34+Hfrvv0KdsFRhLmYnDHY7pvA66BYkT4F/XD7aOqtSxHy0BM5hy4pIZaz+gw9t5RxHg5dMm8MBHc5jD/3Gy2M7Y1LdvC5A9vL0PuyH1HU3zsq6MtO5XID+OSQqR7zuMezSCmJytmSGwMc8YjA7ei+j0B120fTmyPC3F7PIZpB00dooLHVGHs7uhX0p0IlJU7OuoKe5uyBH97gFJiaMMO9azfRn5s4YMJm26zTG8Mk6TAq6Ok3Zs8VNr/z3lzL8b0KK65lQS87XaI+QojukaDvAZWUODnrCnrOwAWLwhS4ZlZeE2bIHLqXTH+csEnYYRGV4UcFfc3B7OtiHp2TyciNhcqCXs4rifoIIbpHgr4HVFLi5Kwo6HMuHW3++OvrqyaMJWwfQT/c367SZnehoN/C5CYnzTl2yi0+yOSmBvURQnSPBH0PqKTEyVlR0BeErMnumjD+z5r0JwX9JInMGe7K7UAPnKGPBwOU3TlpXt5gkDMN0qZYj/oIIbpHgr4HVFLi5Kwo6M2BTKyMTeDWhEn+WUh/UtC/RBQioSX96LMs5kcJem7k9XDXAZ8Y+8q049yTsXFVJH5xGt8f2tvBiqiPEKJ7JOh7QCUlTs6Kgn64+1oJJncp4i1YTZihWtAzYQvddExyyD0q6O3E8iVJmkrSERBn6AvSnDY58cFSRzz2eyPURwjRPRL0PaCSEidnXUFP1+aBk2letHtrwgzVgn6q20o8IlD/kLPxkZkfN5IxlE+KHcbcVm4E7Wf8Tlb6DvKlQ5fEXr6zBH3uMfE6WN44cx+BT8WOgxCiYyToe0AlJU5OTRVAv84J4MDzCcV0oIapAJ6fn73/xEDdjobhJHeNsqTdSL2PRY5MeJQVnouH4vdgDttsZmJLHtu8W1gT4Nvtf8I0n8txCDIWeRKMmvjuyXMDmFoOq+TfxnPaPsIfB/HotAixLRL0PaCSEidntArEJ8VSEQbX/SwvdCFtOSi1k6K8ECaIedR25ceNyvfl2ekWc1KXc247nra/RCxPz7qgFLiAAI0OXZ70DRqvPOAK70LOaG4+4OR9RKWgxye0/whWiLWQoO8BlZQ4OR1UAU7nN7KJk1P4ksXd0EEFWUKloMeAUIJeHBcJ+h5QSYmT00cVeL3x6FT8/7y9vTWSErEKfVSQ2dQIeq78SNCL4yJB3wMqKXFy+qgC39/fLZiL0J4nMHQRh6aPCjKbUUFvG2wk6MVxkaDvAZWUODndVAHI6NfX1wca3uDRLy8vUvOdUV9B8AFwI/LltlP8/f3dfwz47/V65f5jnnuAMIXDiRHM9qTiu4o/bB8Aw8iPjw8Eo6qO95/4I8m88sbvtmWFaY5fv5ADGELzfZM7XvBfi5zb0Au5l9yTE/wpxEZI0PeASkqcnM6qwKM25+GhOlq1SyorCB0E4Rv4vkEHULZcQzVPbXq9wV3IOY1Lxc8vmT6ggNf0DMBPDo8wvW4ff3wMMAYPwVQ6vTnRqRHHw7F0rjG5Sfq0pfckLprh0QxTdqBkwwMLxtdceMqEEKNI0PeASkqcHFUBIQrUVBBq5UCtUh/7ixS1dM8KAZ0befJsL/9f6nVT5xTigcyl76ZArAceogLlzRSWb5kn6LlP3aeQnqMKYxhih1Rg9NKIHZ04AxL0PaCSEidHVUCIAjUVhLPvgfS0IwvMriY5k52MLXB7agcjcL4f8UDyBncFkdcIepoAWfJWFPQcXSS9po56dLXFDYw3NDcv9kGCvgdUUuLkqAoIUaCmggSz4wYNSEyVVgr6+OQHA/dCJceyO468RtAb0PR2gsFyQc8UxnfFI5wczM/RAyiEWAsJ+h5QSYmToyogRIGaChLYrxtUumaVXi/ooWhz/00q9TjySkHPE4Uh5T8+PmjuslzQ23pCHDKXUQF2ULQ854h9kKDvAZWUODmqAkIUqKkgnNuOd0UHSnfSDH3OXRLlcmy4MkPQU8HTpj93ywxBzz0Al9RZbzWx0dqe2waenp7kNkrsgAR9D6ikxMlRFRCiQE0FeXt7Q7D4QDEIUy9JKwU9Y4sdwmDAQGOV5Oz1DEFP15n23xVt6JMjHAr9siENN8JyJEBjehneiB2QoO8BlZQ4OaoCQhSoqSA2Jx1Ys1z+9AJZKejNZMXOVYDMpZt5BqB3Gu/IMnm6UzDD/fn5SZ3NMLRo9wG8yY1dnCro+dOc1fj5dV4svz6GMX4jLI3p5YRebI0EfQ+opMTJURUQokBlBTEJS8EKNf98wwKYG3gzcSlgTusNL98tqsvNGwz0NHRwPFrgFQSAIKbHGLvCuXNGwgCMhHHi6fTYY7bs5fPaOMBAPLjRxDdjw0WuKtCbfvnd6brejwHoGCdpziTEikjQ94BKSpwcVQEhCtRXkPjoVvuXP6i1Zs57uIlpzk9zqj7wDMNTaSn0qaFjQc+jiy83g3sKdPyJu8y9JgJwzh4P4o34xQ5yCtJcMH2xeAK9jnj8K5Q9yvvHWX5WJkCIhUjQ94BKSpwcVQEhChylglTa8wghYiToe0AlJU6OqoAQBY5SQSTohZiNBH0PqKTEyVEVEKLAUSqIBL0Qs5Gg7wGVlDg5qgJCFDhEBaHv9sodt0KIAAn6HlBJiZOjKiBEgfYryIwdt0IIz4igF0IIIYQQQjROSdBvN5IQK6KSEidHVUCIAqogQnSPBH0PqKTEyVEVEKKAKogQ3SNB3wMqKXFyVAWEKKAKIkT3SND3gEpKnBxVASEKqIII0T0S9D2gkhInR1VAiAKqIEJ0jwR9D6ikxMlRFRCD88z28+fPR6elLVRBhOiefgT95+fnpo3419fX9Xr9/v7e7hGzOVZJCbE6B6oCaEPe39/Rnjw6ISFo337//v3oVMznx48f/AUdAb6HBnP4gRyogggh5tGJoH97e9thSgY9xMvLS4N93oFKSogtOEoVQOuBNiSYF8CfT09P3pfw6+vraFSfn5/Pz88IDCH78fFR+XTEzEfg3l+/fgXJ2KchJXh64EG55i0wFuJhonH6vYJHgOC/J+coFUQIMZseBD06IbTy+zwLPSK6k9Y0/VFKSoiNOEQVYOsRr/LFZ2SOilFoX1PACIzxAJrB8i0Mdr1e8TiOBEDQlCFt+Nc+mh4DG//KSNvo+idGIwjGzGEOJJPKmZdNEn1YDlFBhBBLOLygR7NuK617PrEp25tVSorzXoCjIy5b75y3Qsyj/cYKLQZqUyxAeX1Se8K5ba/gOST4/Pws3AU17J/Cqfp4GACJHwv91cErTNXcfEefgYgB+j42rVGrFdN+BRFCLOTYgh5NORr0yuXmteD6+PV63fOhZdYqKfTuvpfVLJc4Cu03Vmgx0G7E199vTIqKc9tec6MlLA+/0WoFwpejgqRtD+J/fn6elKSp4BGTTGLY6gYZyEkHPybhFSIbek/7FUQIsZBjC3o05Q9puDm51U6HsVZJURawo8VPeYoQR6Hxxoo1K54O53UK68rqZrcE17nCVj+z/vn5mZvUL1izrAJlN82EKmU9bwmmGJgV8TCJc/mjNkinovEKIoRYzlJBj/4AXRHbWTSj3NqV3DmKkGY0GZhpemNKRhWYV5rEtCvDfc4mmJQKrFGD2HJTzsFdNmHmr/vw3oC1BUZLKshPvmD8voObpFd3KA7EaBVAi4RPmuIPbRHlL37GipY7R9mUIQBqh1mqBA1FfMWqUtB2xeYihFMSBh43KnApbeMZdNbxykaJtvK5Ok6rm5qNufMw6z5rlkcnR5hR8booY4i7m7cbayb64IxWECHE0bksEfToPDhXjRYZTS2aaROOgWkju1L2ndyxdHEzKOhdGI/vpdiCI04fD2KwTVGcYYo1Ohp3c/7AK5zI8R1zAN07JPsGPjG4yKHF1qvS9dQ01nwRn+1QBrgSiAybpFd3KA5EuQrg40cDxQrOikDza7tiISmX0bJ93+BdqOmxprcrZubhtTj+6+U1W6SkWEdIXKdBTpyeGCYgbvfYqI5a7+BxSPCPGwXD/eAdk/8tU04J2hm8prW6SVP4mreLc56YIVPsSydJ9y5xavoIIcShuSycoWdz6Q3ZoX0D4Ujl7YUj94H5i7ENqBlN+k4F4YPp86Qtu6WB8SMlNSbv7HSD3vR6I46f3cBonPtQmRJb6Ub6OUWXlA7sZbvv4URP1FQB1lk7TYJV4PLnyD92FxNvHmXb5QUo5aavMoGjlbI+Jvgv4yn7eykL+tFpdb9YF09VGGw/d2gE6Pkn+UaesqAP1iXYm6yf1iOjDBGie9YR9EFbbFNW/JO9ZtBF0WrFK/i4U6Sy9I01orJ+tDwjxVEEd69WTjbH78JBRXLqqKl5nfrG2mYcCza7cvomDke9oPdXzB6dFZm1Ixjl2ujd2gFKat/ysMXzYhpRWf2ySeKaF2FrWbCcKQv6mrYOL2LmkbnBQ+V8/ypwHHUpbgAoC3pktZ+Jl5ebGAl6IbpnE0HP5WZ2k/Z7cGPcTQYuC2iH463kEZvvMke7HHbPNe6NgzhNpiNJuRmvgwr64a4YCpJd22HF4Zgn6Id7dWAzkjOM8ct9Q2o5kfuIrDXjCqT9d5Kgj11SBiw0uTGCZcxJsV0qmDQYyO0xGE3PaDsskxsiQS9E92wi6AfXzhY6s7glZQdD/Y22m5bcl/ucGX73k2ejHZiNJeq7FqbWOuPknrlc4h/IpMaaaxeFxGt6XhyO2YLeNyO5ehE3NbTDYeOA8PgX5yNonoffvZ3eJEE/3JrBguUM1zZzgn7STv14qSGIbc8D+8qJZ4bnBH1rJ/01iAS9EN2zraCn8+Ncmxt3cuxguCONcVr8waTXUNHlIICtLNcrb0bLNdzC0u1BBT2zkfkcrF3Ybr9GXkqIehYKekpzGnPHsjK2BvRO3Nk6+T0/3jJwmC7okYyCtKX2jX01jlqtxDBhyWftLOjZTRQSz2FMMM7JZYWIkaAXons2EfScGjcnMMluki140q8wFactv/L26/UaxFB2NozrDG/G9JWGNzZJj84j163m7IgeRWVKKDXYa9IeSZPxog9mC3q/w4frgfHsOFqDuAGxbf3WBJlrxTgGPrrm5AoalJdDMs3xwVJT/W6xrUs+q+CWZwuQjeXEs8lNHizV1Bl/zdJObyWE2Ih1BH0wkx2cS2LOVQJ/NckOI/Zfydgu0bbanNtKRu6Ffixe0Yexk07OCY36mjii28rhJji8laq3Hhbi0NQLeq9fOcVrbUWwR9ZfjKsJ2yUvvm1fUGynl9THaF4QSaCn43kERIun+5aK7Y9PEmc3YovE8mYYPCs3IZJsclcB78s1WLvCZcPYX3DgaJjv6POQvkfbOeCvZSToheiedQQ9O0U2vvRuHvQTnLuylWjcRf8zcYRJH5e5mfj4MPAhNVSwjtYSaeYlSaOa0X1pfEQ7UrimpHgUgO8gbaTUzglZQsyjXtD7Vuj5RjzRYIddICTDxLEl2yWETDYpyaPorPFES8id6Lg9blUozYOZC1ZnJjJwJzD8uROUL2uW9xT9PHmDxkJxapPLp2th9n5IEtKJn8mtSky8zw0uMLL47IgAbd+vRIJeiO5ZR9CjkbWDUXIGoOyu2Ey/vr4WDk8Jutjh1nslF385Tkiaq3pNf/mT4e7hgelJpqHgoTn53McyWlLxkbeB8wfZ3ohDUy/oqSAvd5+2saKlNy1T/4Xhbtwu+YMyPJTI8RyBbzbx32STkjuX2l4kPlCC2peLkEyhHbfHFy94rR3uI4SNtLIdI8iU5877o4uzeE3DcgwBtBe2Hgl6IbpnHUH/KDlIe9MlE8zJDVXoHctvlFteeBRqrMXJqRf0OyQmCZXozg9FOzZD9UIrt2NPKFZBfYQQ3XNsQT/cp6nm2XrSLWZ8Ha9Tnr6a/cSNUGMtTk77gp6W4nuat3Gefupdow5nxBFRHyFE9xxe0A+3he8Z8+W0IjVdThtW/Em9XrjLHMW0gxprcXLaF/TDze4FbctupnpoFedNz8swvT/URwjRPUsFPY2z9+ylkviD1muAfA/MZ71Bec5ZG73jt6bmBzXW4vSMVgHbNPLYYxbQekAxb72+h9Z4npoPHGGJblAfIUT3LBL0wWbTx3p9+fz8XNIVmR+eXH+PPjK3f+vhqLEWJ6dcBegoppEt4GhD0JK0s6XeCJxjip5QHyFE9yydoRctoJISJ0dVQIgCqiBCdI8EfQ+opMTJURUQooAqiBDdI0HfAyopcXJUBYQooAoiRPdI0PeASkqcHFUBIQqoggjRPRL0PaCSEidHVUCIAqogQnSPBH0PqKTEyVEVEKKAKogQ3SNB3wMqKXFyJlWBnz9/vry85BzUvr+///jxgw4uX19fc54czbG9UXMKrEVe8JArxOqojxCieyToe0AlJU5OZRWAlIdGL5wwRY/1LzcY7OnpqRDSQLDRQyrwaIsN6h936RQnsQ/qI4ToHgn6HlBJiZMzqQo8Pz8nBT3lvh35hF8Y8sePH0FI3Dv1dCoequ0VPGKAvm/whCnRH+ojhOgeCfoeUEmJkzOpCvBY6FjQX6/XYJYdajs5nV+w2EmCaJ9u+IsQ94gZiamPR4h5qI8Qonsk6HtAJSVOzqQqwMnySkVO0xofmEIc6hxavDIS3hJM6nO0EKh8IbZAfYQQ3SNB3wMqKXFythb0fubetswSBBg1m+GawPV6jZMNcvtuhVgL9RFCdI8EfQ+opMTJ2U7QQ77H5vJQ8J+fn5TpnGUva3qOCvDcONn1KRFiNuojhOgeCfoeUEmJk7ORoKdvysIMOv7FCfvyHtmyoK/xdynEEtRHCNE9EvQ9oJISJ2cjQQ8hHqvwgK+vr6enp7LuLwt6Oa8UW6M+QojukaDvAZWUODlbCPqPj49K35SxS8oAmdyIx6I+QojukaDvAZWUODmrC/rfv38/Pz+PnhVlgcuWMzzNKifotSlWbI36CCG6R4K+B1RS4uSsK+ihsF9eXirV/HB3QFnQ5TwXFrI+eIrcVop9UB8hRPdI0PeASkqcnBUF/aS5efLz50/cUgiA2GLtTuf0sS9LIVZHfYQQ3SNB3wMqKXFyVjkpdrh7rYnn2nELJf7X19fHx4eX+/g9vuXz8xPDBh8sHkW8vLyM+rsUYhXURwjRPRL0PaCSEienvgpQfyM8NHrwL4hyKGw6nvfgolnLUJfjCmQ91Dl+Ijzke5yewGgez32+AQWP36/Xq/zbiN1QHyFE90jQ94BKSpycyipAbzMemzI375NJTLJDi3OHK4A6D6bhDYRBbMEiAHU8n4IA2gsrdkN9hBDdI0HfAyopcXJUBYQooAoiRPdI0PeASkqcHFUBIQqoggjRPRL0PaCSEidHVUCIAqogQnSPBH0PqKTEyVEVEKKAKogQ3SNB3wMqKXFyVAWEKKAKIkT3jAh6IYQQQgghROOUBP12IwmxIiopcXJUBYQooAoiRPdI0PeASkqcHFUBIQqoggjRPRL0PaCSEidHVUCIAqogQnSPBH0PqKTEyVEVEKKAKogQ3SNB3wMqKXFyVAWEKKAKIkT3SND3wG4lNXu3tRCbou+tTRZ4a1AjsybKKyG653JcQf/x8fHr16+akAj2/v6+dXoeyG4l1fgnIU6Lvsw2Ubk0ggpCiO45pKD//v5+eXn5/ft3/S3Q9LgFN26XqgciQS9Ojr7MBlGhtIPKQojuaVrQJ+fgIcqfn58r5+Y9P3/+xI1davp9Surh34MQOfRxNogKpR1UFkJ0T9OC/sePH7Fwf319fXt7mxfh643F6WoOCXpxcvRxNogKpR1UFkJ0T7uC/uPjAwkIBP3n5ycuTjK28SA23I5I1khgQ0jQi5Ojj7NBVCjtoLIQonsaFfSQ7E9PT7Gg/3FjScyIdmEMDSJBL05Oyx/n5+fnz58/t4v/6+vrer22ZkzYcomcEBWHEN2zgqB/f3+HREZg/Hx7ewtsWtDZ4CLVOQIgMP40nzMQ7uiK8F8Id/R5VNsfHx8Mb7y8vAz3+fXA3gb/8iEZc/CnB8lbMsffJhL04uQ0+3GivSqoefwrnrbIYS1tvIkIzexUPwFbUy6R//mf//lfN/BLOR4E+Jd/+Re253/9619Hw6+OZTtA91GfyYXy2p9mK4gQYi2WCnq2WehOhpvgRstF8U040W6zR5TsprOp5tlQXm+w+WP/R6Xu20EGjjX65+cnozWtzwcl+1HczseNvtqB2KGxVn8gWubh32dyc46fvIhBs5lch8zFz4mP4W6OGLRvaE7Rfraj6csl8re//Q0BRgX93//+93/8x39ksPoxwIqwG3q5wa7KSqHMaHntzMMriBBia5YKejRzXhzTOyR/h4hHixZMqMeinA0lI8Et1lbGgp5XkhbwnOjC49Cf0Q1OzlCebasfdXSABL04OY/9PtH+xE0KmpqydR+aqUpBz2kIrwjxONzLmZTgiY3Y3hRK5L//+7//4R/+oUbQ/+///b8REuH9jbi4clozIMOhyy2T8QuKjEvN5Rsry2tP1IAL0T0rCHrKaLtiCp6NWjBjxIuxoI+7tPg6J0hynR+HCmhw0QQX5kJot9NZ6yZBL07OA79PCGgovEDQc/YdCjt3F9ckc61fEP/TDX+RUxjBdAlDtrD8WCgOKPi//OUv//Zv/zYq6GP5zkl6L/E3Jd6ZgGItd0PDlPLaEzXgQnTPUkFPtzNsqgLtzsmMIPx2gt6eWJ59l6Bv9hFCzOaB3yeavrjZ4cXcjCytE4d86+ehFowHDFyTDAJzj9ADZ4JJoTj+z//5P3/961/xc1TQQ8ojzN/+9rfRi3syWmSTyms31IAL0T1LBf1w349FlYxfrC9J6uZNBb2NLgphJOjXiv///b//9+///u//9E//ZJ0r+mZ01Zfb3rVN0yNEQOXsA8f80FUQvpTUHp49x/YBAbzNzPf3N+1qeOA0Wye0Y8GmfDY+nKPNGWZwRp/THzWCnmODeN6djwumUWhSWFgZ2IdcMC215AAAIABJREFUcfz9739HxuLnqKDnZDzCIKS/TuP73axuYlhkBbumSeW1G511eUKImBUEPaH1PDtLNnZsv4K5ou0EPbtJxm9pSKZTgn55/GYFC/7xH/8RPbR1wOxu93dGIc7MaBVgxWfrgUaJM9k+AHSYnWRnASwMJLItAL7duNxtqRmzn5HlzEJuqRDXzSawRtDb4CF+5fheJiYeq/j/jrLcJUuuODg3P9zm6cuCntthY0FfM7XviUdcMZO2VMXmVcknVpbXbnTW5QkhYpYK+mAegv0c54eS7doSQc8rSft4boTl5AeN6XNtbrmvPSj7C3ryf//v/7VZNHTVD1wHFydntAqgzfEyl5Po/r+XP2cfECAY+VMN29ZGtDbm3StoUgqutNA2ekPq5YI+mIxHqoJk70/u6Wwl7Pclgp6TCOsmuwaWdXmWfVJ57YYEvRDds1TQo/HyvRHbO7ZZXPz1Epyye4ag58+c28ohcvYcP8WQ28p142f/+k//9E//8R//sWkahChQI+iD6QAT1hT3sd/JpKCP5wLi6zlJByGIpskvHi4X9PEEx2NngodMWXAvrG1mPaigR1kU/JBamEnltQ8S9EJ0zwqC3jy+o6Oi813rscwglcuU9HHpGzvzxBwrbC55Iwb8y/zWX262rUFIHlzlu0kbS8TTIVxDePgxH+uyVmOdm9srxO8dRa+SBiFmMFoFrKlBKxT4tOWqXU6B2Z8LBb1fRQxCrmhyU7g+rG1yM6m5+NsN+3O2oK90YG+saHKD3qQmpExuhBAPYamgh7z2Lab32jvc+jA7Jha/4E9vcsPfPT5mnpNy+VPr/7jhg/lIeCXotIImOI6hA1ZprHMFMRp54CtaiP2pqQJof+wkOzOXH1J2gBbnZT1Bb7MMOXJTv5zayCUvNv/YRzjmmoshs+XmL3/5i5fgh9sUG6+u5JhaXvsgQS9E9ywV9FPJ9Z2VcC5tdpvIOf7cmVPHZXlJWQxTBf3f//73f/7nf7481JGcEPVV4Ovri8t0pnrZKMU+wtcV9OYkx8PJDh6wnTPG4EggWJlkU5Z0g7iDoPfZEuRSsiCownPk7GfacVuJ3KZ3o5rAU8trHyToheiegwn64Tb/kTxlvQb02bPvbZl1S6qmhzb+8z//EwOkPY9vFCJmtAqgzfGCjM7C2RrYbtdAsc0W9LkRQkzlwVKxFmT6Y0vFeC/v1kxqLowaZzUM88CDpUj93DyZVF67IUEvRPccT9DTFHXGLPvUdvlAPErQo1v9r//6L/ayNs0GiS97erEzNYI+aHb8NKrNlFv7QAU2VdDjdrQz9a60koIetwfDDzabgcsv87cTJybntnIjfEatKOiH23y8n7+Pz47dGlp+xmvCtCDl70vKazck6IXonr0FPe0L65cvk3D37STDm0lrpodj9ZIq99DoUNETo3P913/9V17hkjo0EK7ImF7sT42g51QCG4FActmZdGydIIhjQU/7+1iWmadIBLBG5unGaLKTgp6x+eEHZzEAHm07AZImOkz2khmTeVhezRb0FOvB7Du3xvJcCzrJ/ed//ufd/NugZHlAWGwo5Vd6l5TXbkjQC9E9+wn62MHCQivPj4+PyhgQ7OFHJ27KdoI+GbMdBxt0xuhr0emumxIhaqgR9GazzjnseF6cXrkg4LgAGAxrPYFipmLzU7k00x+dkU0KevoKCy5SFzL9hemMyueujuVMZfhKQT/cDrv4y1/+gsD4l29ztsbcIiXxS8RLyms3JOiF6J79BL3Yji1KamoPLcQD2a4KzLuXcnD/eQQ89FGG2mouWkZFI0T3SND3gAS9ODmtCfrhtoT448ePPc38fv78ufMTPWouWkZFI0T3SND3gEpKnJwGBf1wM4DZbb48eXCVEER9hBDdI0HfAyopcXJWrwK21XXhsRUQ9DvshoSaf3l5kZoXOdRHCNE9EvQ9oJISJ2fdKuBPv77UOaAsgCHBppr+6+srcJsoRID6CCG6R4K+B1RS4uSoCghRQBVEiO6RoO8BlZQ4OaoCQhRQBRGieyToe0AlJU6OqoAQBVRBhOieEUEvhBBCCCGEaJySoN9uJCFWRCUlTo6qgBAFVEGE6B4J+h5QSYmToyogRAFVECG6R4K+B1RS4uSoCghRQBVEiO6RoO8BlZQ4OaoCQhRQBRGieyToe0AlJU6OqoAQBVRBhOgeCfoeUEmJk6MqIEQBVRAhumepoP/+/v758+ePHz/e399XTtqf/P79u/4R1+sV4TdNT1M0VVJiC1B8KLivr69HJyQBUoUahxQ+MA01VeDz8/PlxtaJ+fj4+PXr19ZPaQe8rFqVxpGgF6J7Fgl6ioynpyeE3LRBhxJ9e3urD4+EITzu2i5JTdFOSYktwOgUMvSxihngy8GAEJ/Q8/NzIFih6ZHCB46iR6sARDaSjWCbCnqUUZAPbItY9fATv9eUI5Mag/yPn4hXi68baAYtNvwSt4qVKSzHg+9hz08Uj0M6JzVlGM4x/cgr5Nh2aWsTCXohumcFkxu0qpvKRPQcM/pgdC3J3qtLGikpsQVQh5AgD1fzr6+vUHvU8dBD+JCCysV0PkrT11QBJH5TQc82xw91cOXpBh5qani0NDE6yh0acr1efeQ2Ssm9PsLj6VZS+AV/BpHUpHA0nuGu+Lf+UJG9eC7TWd+U8YuljkcMHLdsmczmkKAXontaF/TQB4h8nqUB7z2D7U0LJSW2APII6mr5uHThghW/HB8D9B9UUVAxOVX8kLFHC4IeY55AJnIW2TKEUhJpKKtJCFZ/F6HKj1szBMsJet4S1HeqYSu4mhTWxGM5AAqvthZ8emVTxnL3b8Tv+fPzc7MENocEvRDd07qgf35+XtJDcNppxfS0SQslJbaAM6PL46FFBKKKleIoNonrL0Lcx8KUIYOJ2314uKCHOowFdyzcmW/l1CYNQgp2NbSDiq/zfYOBHBsBW0aoSWFNPD7kDkKZiaxsylDiQdFwiFKwU+oPCXohuqdpQc9We8nMYtI2oD8eXlJiCyg7VrQNQIS0lsbP+lUvVsNABzNt8WADw+/ZS2pLeLig/3GjJuSooE/y/PycGylRsMbX+b7BjAaHiOVBXVLQV8aDizsIZSappikz+6XgOkdBZ1i/JRL0QnTPVoKeG63YaOYEhMmL2FSUAdhR+RvZjgchmYBkq02rm31WgR/IvJKi3xvz+8EpQGZXob8P8v/XDf/nKm8khpShy7BG/qNCcYc0CromPCrp5U/rbZ+SQBJ5Y+U9WSLo6f2Gr5PbeOO3hHpYm2KjjnJSpy4b5uxtSE7QD/fNtbZdFTGg3Edn0OMU1sfDEd3WQrle0HM4Gmc4M+08u2Ml6IXonk0EPZt7E/FoNLlkHyx64graWYahaPDyPWcbiuvsM3xgKFFcTM4LMuTD9xRuyryS8n4/3m6YG5OyNLERlEkfhI89n4iFsHTiXF0l/807Ckq/vIRF6ROLp+QQIjmbuwOzBT3nFKhN6asn/v5psU3xx8YtCFNv0p20Rx+l7MemIOgttfjJ+j4qtZMprI+HH2duMcFPvhQop3CYIuj5xHgUl/uqe0WCXoju2UTQo7kPuh/O2/mLVPB+jodS0uIpKAN6k7A+lZNnueSxH+pba84uKRr++rFWzpQigMVHpxZ0b9Kmi/RDUxiLrpj/rD6IITdxWxb0wRwn18T2Vw/zBD2/fz+e4S5kf5E1wrcwsZU5s6jGdpxj5qnzCwV7m6Eo6Idb+m1toWZCOpfCynjY1G/t7H8tQd/94q0hQS9E96wv6NlHxt0PhbV1k7HODma5cg0x4QQ/w5d9pZ1hJma2oE/OWVYKMhtT1Uz7iamYIU0uwFr5jwdB1hScc5cFfTy7z+s7D6HnCXrmYdB6BLMPsUKNFw8rX5mbhqfmTNneZhgT9LiRzmeYyPLiWyGFlfGMfrersJagP4/zSgl6IbpnfUGfW31mT2ANKKfBfM8RxFMW9MN95DDaj0rQG+sKej+mmppgMcqoMFqe/9xBMXpcwySTm8L1TZkh6HNGfbbIwEWP5J7geYIebeCMwirb2wxFQY8k2eqNLSwUVGwuhfXxlL9bmdw8Cgl6IbpnfUGfayiDhpU2Az4Yr9hE1KigH9xWrUKYMzTcDxH0w33wNuo0Q8ygZqZzXv576/ka2c2heE7QxzPHRxH0hRz2r2BGaJbJvOKtNWpeGXk+bz64bG8z5AV97EXUtHgyqbkUToqntRn6nAmQNsUKITpjfUFPXR7bJsYuVtBR2fIuG2jfZ4wKegSgvUG5ZZegN9YV9LgXmc/i3tpk9oSMCqMZ+W/+bSa5raQkCmo0p7GTey2OIujNoWFuTGJ/mtP97xs8NNdn4OgrI4Z5an7U3mbIC3oWXJAqXozbw0IKJ8XTmqDPfahc3TqPraAEvRDds76gZ+cXN6BUHr5X4GY+2t7gZ9A6s8nOrTXjKVQYZniQ601zrkJ6Yn9Bj7KzrQujYyoxDxZEUnlPzX+EpzuXeQdLxTWa1TyeOS4cXLopMwT9cDf8C6ZpqaGDSoHWxlxb4vdACPJfOcsla6xmQJcy5TA5QZ88+2m45VXwtZRTWB/PcLeEbGdT7HCvIPHBUmc4c9CQoBeie9YX9EPkr8Yu+lbeK5IkBWWAe80j8uBctSRjYyR924TsLOiRmbjFO8Y5gyuh/cmNRWfkP9Q8RNvsWhBLOp47Gw82juW20mYffM7won9Z5F7ZNqPgtpJOhIKc5zEd9ufHjWTMuHfULKR8Umww784Zaz/2GE1hZTyk7LZyLQonxSJhuO7le6z+mcgdTrRtBwl6IbpnqaCntghW5M1pMbsi9g1B90/DXLT773d4RI7vV5JnlDBy3zqbpznzam8kJ9v6Y3ZJcdnEe6mzHYG53o62UvH8JYWRNP2KJA9pekj+86GsX/id+jV3ANNDlmtqqgCTHfhkNAegbDqQgYG9OGsEAlhLhXdEMN8u5Q6ws1ONXv7EF6vZqMRlx+arbBxlFTZZHLZVia9sZlqTUlgTTxBy63aAH3xySoiJT542wFSZAdWmKWwNCXohumepoL/8ibXj/hRY9KDoIIOW17ZVBfgDCBkmd1JmsA03TkMuhv6YV1LBFeRnkJPJgZCFsf8Gnitke7MW1HOB8nhU/lPHs0bHNicG9dz+hxKMVoHg2/a55E+BxasFQ1k79SImsN4J7APNDVcSaw85H5F0/Y4ML691xNHGYfzbBR6NKlM4Go8nzod1if3kBB987qxiOwkbiT/V3DwZrSBCiKNzWW5yMw8a9XJWHk2tzX6hj/T9ARrfJWd/4N4zGEqqse4VauhHp2ICwfT2bmxaBdBSQQKipcJPa6lYNKZrKY7Ps8kyCZcLTiiX20d9hBDd8xhBTz9oOYteL+jZQ8zrJmscRPSBGute4fTtUZzrQd3OOAZ1FbarAtTuuX/5iWqeu7RRMg4BRj4nz4FmUR8hRPc8RtAnjeMJOsjYA8O8WXY8pXtjG6LGumPoDGp/I5ap0DTlUePnjapAzjh+uG9K8aMX5sBp56dH/RyIB6I+QojueYyg5+409pTvjtwRKtDlU9fx6dZjpfS2jhrrvoFUQk1pWSoFjnf2Z6MqYB6EuBHIWiqegBG/L73Un2FVMCDwPCZaQ32EEN0zIuiFEEIIIYQQjVMS9NuNJMSKqKTEyVEVEKKAKogQ3SNB3wMqKXFyVAWEKKAKIkT3SND3gEpKnBxVASEKqIII0T0S9D2gkhInR1VAiAKqIEJ0jwR9D6ikxMlRFRCigCqIEN0jQd8DKilxclQFhCigCiJE9ywV9N/f3zweMjgNqll+//5dn9Tr9XoIl9KVjfXX1xfPq//169fWSRJiT2qqwOfn58uNHdIziY+Pj0NUSSTyKO28CJCgF6J7Fgl6qHm07zx4ZdOGHh3J29tb4RHoqp+fny+381/QO+aCYeyBeOqfixc8xAFVNSWFF2FJgUOoByHqGa0CaBbYRDQl6HMHcuE6EozWrHCj1ejX19fkQcI1YabehaZjnwOkrEkHk87frewLzoYEvRDds4LJDXT2doIe/YcdK5t7BFpt/JdtN8KjK0qqdujyGX05j3NvXNNXlhQyR4JedElNFeD3346gZ9sSVEZKedOyuRuhVhEGatv0dzAqqAkzL2Y0hgiwqaZnn4KnoLBsGqJGnVf2BSdEgl6I7mld0BNq+uQj2En7VpvpCWZ00CfhYuUcVQDvbdn2prKk0AdL0B+Olu0x2rFJO6Kgf319zclNq6rJ/+IVfGuGwFCukL9Tw8yLmSkH5ahmg6f7cQ7HFcyNcgNe2RecEwl6IbrnGIL+58+fuUewB/KqAo0+11t9MPQQS3ogPGW0L3wg9Y21BP2ByNlj7EzBhqEdm7TDCXrkanmaALmdfCm+RdCaUfJaQdSEmRezD7mRUMY3FmcLc6Pcy1T2BedEgl6I7jmGoGf/ET+C7XWcTrb+1rJzPLBEdnAltwXhkkSCvj+S9hj7M2rD0IhN2uEE/Y8bhQCUp/F1KuygMWQTZ1q8Jsy8mA18CXsK5dFeprIvOC0S9EJ0z1aCnlN3bEwpAuLVUlzxOzU9QcicoGdnE8+dsy+02cRgHXlw1uT+iXyRZAJodbPdKvNCJOj7o2CPUc/C6fNJ9myP1UxLBD2937Bq5AYnNByPW6p5ExlxxsbkBD0b1aAIGCHa0vow82I28H3uWeijxjOVfcFpkaAXons2EfRo5b2IR2P6dCNYDKV1JsOUrSRzgp6PjntoNuIMn7NGxXX2Sf6h6NJy7iAYcgf3DjNYRdD7rXj4BbmXfFm6NmLfz0HO6sMDU1cGHxFf6ZVRe4xK6JMEFS1XmmXqbRgebpM2W9BzToFKEW/HVw6kNvfwUBSycRuV42UKm4KMnKBPfv82Q1EfZl7MBttevEgyKj85UiD/9iEspsI3XNMXnJlJuS2EOCKXLQQ9uvagy+fCvb9IBe9nXApWkvMEPSfUeW9SbdBawPpmTsLlXpO9eJs6cqGgZz6YgQdkDYc6NtwKQpone25f8z30Wh0nrTsYp30kHJu1YIiyNaP2GJOwpbDkQlnhrqTqStowPNwmbZ6g58DJJ5tuXvxF5oNvGTgZHD8RMcelZoH9U9hAlW3Q5wl6lktNmHkxGyzxfeyXuDe3PMte0xecGQl6IbpnfUHPPjKeuaE+s14t1sejrmymCnrK9FwYwoUCRl72xdbyTM9CQR+bJNnFYIQTW9nS3IIli2jn+RFKYlOh1hnTM3ebiyQrkrTHCKY2f93wf45Gi6LhqRGViyqTbBgebpM2T9BzOBp8UcHsQ6xc40U/G/wEgp6H7vF3/GKtX02pzRP0rIA1YebFHF8vvMJa4LsdHTnU9AVnRoJeiO5ZX9DndDknfa1h5TSY7zwK256WmNyUBf1wH4FU9q/9CXrqtjh/rMP20i2ZUVRFucX3JVBLMQ2QjPhmzrC5LVeDzIzBdCFq09T1CjuxCCVenlCfasPAtD1quDVD0OeM8WyMSgmbrCDJG7lryF/xIt6L++0EfX2YeTFXxraiyQ0H9qPflUxuytT3EUKIg3JZXdDnGtCgwY3nenklqdhygj637OsnEUcF/XCXpOUwLXcMSwQ9B1rJ9+Kgy+Zoc+dSMWfi3KNqDC5aT18pQ5k8utR4uCuVfSjYY7COcCmJI5zZSyI0MEMMOcOPqTYMj7VJmyHoC5LUf6KcffeaklfiHAgEPYNZAfk/lwj6ZD4HW1drwsyLObi+tUykjV/NML6mLzgzEvRCdM/6gp6aI+7tgmCBNTa7h9wsb07Qcy4t7mzYM7EbGBX0CMCZzrJe71XQ80ryvWzTcBA4ENaxwrPOPsh2v3ReKf7MprnlcwDWpaz2bNdHpdDJgfhRZLFreWOqDcNjK8gMQW92MnE2Bp89J+nxyt83kG9oYeKhVCDoeZf9ycf57d3zBD1rZVBqlLNWB2vCzIvZ2EHQTzqHoaYvODMS9EJ0z/qCnt1Y3LBS6Ps+jFOMlGv4WZACOUE/3PVN7IgjmFfObTFEatlXmTF9WUi1uR1zI0Fvs+l2hYUYiLxgE6HxciN4uj26xi42SMZJptnKas/v+pgXP0qKTmnWNbk5nKAf7p9u8F2xAQleHK2EOV/C70mBWC/oGVU5/3OCniaCyeOfbLGlJsy8mIPA222KrZ+bN0b7gjMjQS9E96wv6IeMv5rAAAPNbnkTqqdwUmys9QOPxYVD1JEGJMnSwC4qZ6/JSNrckblc0Cfn7ZiTfmzGObPLbS2Fs5Xs75N7zgJBz5LK/ZmDoz5bKzjDTNvo9C2N7GsMiz3eer5mXDrVhuGIgt5mH3xO8qLPInzeNYPJekFf47Yyd1LscMtqn2Y6gQlka02YjxtT7yJlt5ULyZ1WhivWsKMpQBp8gzDaF5wZCXohumepoDeF5xWh+Sdhb0HZFyxSU6KhP3i/Q8cdSY1iXhST/2Xk7CltcTy+PdCCTKRv/b11R7Cenpy0a4clgp7TWskVDHaHQWZyJOY91ucmGgNBT+/19id737IJOEuEqeUT6weBx6Us6HEdmZBcKslh/m0mua2casPQvqCnjA4cJdm2BOYM/aV6ncp84MkMhA6d4hwo29D7D37UKZB3HpX8L0sTL0Lf+cEpHzVhkltiamL2+bbFiqVZY778CfLWf43JrTujfcFpkaAXonuWCvrLn1j77k+BRUPMCV1/o7lnDrBDXkjsLSGpGDj1yH43no/hs4KuMY7QltTjfi4ZQzssEfRWEHHfzAyJ+/tKUbhc0ON2m0E0U5ONJgXboWCP4de1Rnd9MDyr4byDpSbZMDzWJm20CgS12+ebPwUWIjtoQOy0iphYTZa93ATWPjk7wPhBcRg7LML099QwHC3HfmBrYi6nfyG53A7qPleQ4pWTcl9wWur7CCHEQbksN7mZB6UGZ+XRBNvs10vqcJbloHFf4iQb97ZsiFlZUrYLMOl3MnjBpCuPl+jo0AILBT067+Dp5sWy2ZHVKuTsMYI9gqO7PoabxERezV7TmGTDwKJp2W3lbJCNeGXkBn5aS4ViQv77TzEW9IGrSl9Sax0G/BC4gCC5fCAk6IXonscIeppmFuZ+Vn8ie6B53Selbctdb2VJ2XJHbEXDOS3oRTM8oF1NUEZ2eqsHwXBjPAdctqEPLIwDqN0DUWt2CMEyTmck7TE4Txzv1GRubDcvXmnD8HCbtO0aK2r33L+Cs6LiAXN8eoDxemOjZG8KvoGDpvy0SNAL0T2PEfRJo3aCbm8jM1wurM+4EaltfEq4pqRiIe5lB/QiZ9BNoydfGTI6qentLh941MtNzrzV21nZx+APRiXNbmlYTmzPYBYj9taBNdp2xus1NgwPt0nbqLEqGLtzwWTJigQHaYcbmk7yZyAaQYJeiO55jKCnUQF7yncH+olNLaQhOKbGT6OFjdKzFrs11nRePtw69V8OqvNgkBALenNVGewXFAGHs8d4uE3aRlXA7Jq4EchaquXnABB6tT9QQQeewcRRkKAXonseI+iHuzS06V70lzSp3+6JhM7OKgMHbtGaZZ/GmpY5hb7c/CGasT7xwp26/9KqR/92OJA9Rgs2adtVAS5e+Z2a3Ku9oqhFbIeoDtzv9OhUiDlI0AvRPQ8T9GJF9ikpqPnCLCztBzR1txYHssdowSZNjZUQBVRBhOgeCfoe2KGkbENq0gHi19fX6MmjYiqHsMdoxCZNjZUQBVRBhOgeCfoe2KekbOfD5e7ZhvAUmEPMJR+Rlu0x2rFJU2MlRAFVECG6R4K+B3YrKZ4Xtqk9sRAzUGMlRAFVECG6R4K+B1RS4uSoCghRQBVEiO4ZEfRCCCGEEEKIxikJ+u1GEmJFVFLi5KgKCFFAFUSI7pGg7wGVlDg5qgJCFFAFEaJ7JOh7QCUlTo6qgBAFVEGE6B4J+h5QSYmToyogRAFVECG6R4K+B1RS4uSoCghRQBVEiO6RoO8BlZQ4OaoCQhRQBRGiew4p6H///v3+/l4Z+Hq9NnKY5XY0W1JC7EOzVWDrg34ReX1jKE5LsxVECLEWxxP0P3/+fHt7qw///f2N8LhruyQ9nDZLSojdaLAKoOV5eXmJZxNwHSr/x48fk6JCI/b09ITXfH19/fr68v+FpseDdjit+fPz006Jxi/4s/5eJBKvkBx7IJ6cT+W43S7EM9yPsmZG4Sd+D/Kq8i1q4jkWDVYQIcS6HEzQo31H1zX1LnR1aLg71vQNlpQQe9JaFWCbE8zNU8qbmqyPCuofd0FTmrIPxglo3BBgU00PDU0FjBaYShfgdUZvRCZcr1eGTwpxvFFO0Ps3Go0H+YOE2YAHP/E7rngtXvMWNfEcjtYqiBBidY4k6NGHIUnzWlXe26vtzcKSQpZaD4rfoR7s97VSKMSmtNZYQQLmFhIhUicJekhPXxlxO8QlJGn8RDA7wWXwdD8+4bhiUitBLR4L8eTIZ7ip/OTr5OLhLcgZPwZgVltBVL7FaDxHpLUKIoRYnSMJerTFS3os9ItxL9gHq5TUjxvDLaMO3XWJE9JUY0UbksL0AcfMNVFBfdLMxl+kDA2WHBlykhlMPR8fH/Hr8C0qLfiR2mRgXE8uLEBSJ9dUc/EMt4YrNmRCYFvUrXyL0XiOSFMVRAixBYcR9GzHl5jNoDVfGEOzrFVSheVsIVqmqcbKxsY5OOleExW1e1Al2RjGsxsQwZNM8xdC85XK5oLjjcrAHBElhX4hHuaqH9JwZr380Pgt5sXTOE1VECHEFqwj6GnBSTmIHogNMVtez3BvPf2K89fXFy6iH0L4379/szFFzxS0nsG6c338Bq1utluVfiALS8r/9+gTUeKc1E94owXg9+93rLJ5Mdj4BH8ON6GJ21lBcJFG2MHOV7ZL5TWuekHP+eNg3p2PwNODwHy13QwL2dhWrglMEvQ5e5tyPBwG+Kl9K6wC8VvMi6dxJOiF6J4VBD0aX27YGu6z4LY9Cz+t+zQtji7K9hvRASX7RbQSaE44AAAgAElEQVSe+IXLnbzler3ylpzV6Wj88dvmJn4OzfKSGm4jK07vjcoRIVqjpgqwhaEJNX4+3TD5CxnHhsg+foY3VYcqw9YGbRSaJlQWGwb4HZMFI2+jXtAz/sDE3OYygsDUptZsJv87Sk2qSGxrXmCSoM/Z24zGYzbxHBLksiK4JX6LGfE0jgS9EN2zVNCzz/OtIfsqa3C558m6Sc4QB5HwFvy0TjHYq8RGPGkBXxO/wQ57U7fQD2GVkrLFeu6RlaYXB2K0CvCr9nWfAtfPvHKFiiqfDUtuatz8oiBkMAyIDTZi1hL0wWQ8R+n7zCVzb26NlxtSL+gL9jY18TAT2F+MbtgtvMWkeNpHgl6I7lkq6NHYBcrP/ILZFXoBYyuc9K3G7i3otPxepbjr9YzGHzzo0KaQSZaXFLsu5ozNOx59lVmch9EqwDl1f8VksW8xOL/O/fdJJ+hxveAwwBKQlOABawn62CH91Fn22aCtmNQ+1Av6gr1NTTzXG+ZCvmyAVHiLSfG0jwS9EN2zVNAnF23jTsWODkn2c0lBz57VzFXL+rIcf/Cgcwr6ypIS4oiMfsaBlbwnaDS44pdsbZKC3gwCGc+egj6ZvFzMK5rccF1iku1ivaAv2NuMxmPmMbZyW9DihbeYFM8hUDsvRPdclgv6SvvCQjeZFPRexI8K+nL8wYNOK+g7sAQVIkmNoK/0WluYHUgK+uFP2b2uoE9aCeY2xe4zQ0+NO1XdVgr6sr1NOR52E3avafFkp1B4i0nxHAUJeiG6ZwVBX9NNoonkjsxkW1wQ9NSgo4K+HH/woNMK+l7d8AtRI+jLSpHwWFY2OPH0bVnQM/C6gp7bcAMjb5p3x3YpOwh6vGPg1aeSSkFftrcpx0OfCkFqky7/y29RH8+BOHTihRA1LBX0bObiFVI/GYz/so02Y/egtyuY3HBvGRvxnIvl0fgNKv5zboqtKSkhDspoFeA++3irN8SxP4TVZm29yZ9RMLmx0TJbs/J5F/WCnjPWyYOl4n23DLzdRPK8uXlSKejRgJf3ExfiSb47x2b+yuhbVMZzLA6deCFEDUsFvdll4hf2i/iJ/sYaXLqWt4kuc/Ebu1vxXSBnREzBFw5Lr4nfv1HNLN3hWKWkhDguo1XAZq8hjinm0A5AzXvphurgW6F4xS85sxCcWFfjtrIw3ftxw19BCn2DRscsydW2stvKhVAHxwMVXDEJTjfESa1cOOHVoOfQcjLKJ8Veoo3CKG5fXjVvURPP4ZCgF6J7lgr64d7teczVDHcd+cbX1i69LzA7TIpz57iO1jPYhJQ8M6UyfkK/dYe2g8yxvKSEODQ1VYBS2+MbmdgfuTkuNIVtowI7lI3eYP3E/+gBdgyQnMW3+P0qIls5PhGNGPV9UjRz5n6LFUjqYNqieNDYegluDojjGNiAlxuctxvllBTiYUbhX8wBBOAhJ5ZXlW8xGs8RkaAXontWEPTDbWaIMhqtHnpNa2qt4zTNHfiaYItppu2mOOOToTgxE3SBlfEXYuiD5SUlxKGprAKfn5/JRiY+YTo4iJoi1Q7EMIeGqE2xF3O/uhinM8D/11Ymg4rJOQ5W2/iA55rnLiSeCzD8ggCHQEGGxN51kvPrXIYt2NvUxMNVR/M1id99P1L5FqPxHJH6PkIIcVAuqwj6hSRt6GPoHHr2U3Bvr7tC1ViLk7NPFchtig2g4d/OE7qc+C8boIvToj5CiO45kqBnjzWvm6S9zaHXTAuosRYnpylBP9ymD5bMPsxg1D+MODPqI4ToniMJ+uFmNjNvlj157mM3qLEWJ6c1QU9z7d3my3///q39MKKA+gghuufxgv7r64tW3ZXuVqDLp7pxCJxX9Icaa3Fy9qkCNONGe1VjUQ15bR51NiXw9CVEjPoIIbpnRNALIYQQQgghGqck6LcbSYgVUUmJk6MqIEQBVRAhukeCvgdUUuLkqAoIUUAVRIjukaDvAZWUODmqAkIUUAURonsk6HtAJSVOjqqAEAVUQYToHgn6HlBJiZOjKiBEAVUQIbpHgr4HVFLi5KgKCFFAFUSI7tlW0H9+fj49PS08v/Dj46PmzKnhduxLpTP7zlheUjwNAMibdUz9F5iD/ssRz1pJWg7e6O3tzZ+RtPM3sG5tXV4FkBVorJYUNJq7bs67wMdwvV7VGnSDBL0Q3dO0oEd3gl520sks6I9PeMaKBP1GzPgCk7Qm6KHVeJrbAwX9sGptfbigz51eh4uIeVK0PI/W478clF3OA3Fw3BW+Opby8/NzMgG4iMaZ9yIkwvuyQGyrfPyVcAgxqbNA2ph+FJyGH2Uk6IXonnZNbnh2+oz+FT3o2U5BV2O9BbO/wENA1egF/UNYq7Y+tgpAzcerDXg1k8uTviIUipfpUKs+f6jRY5CNPhI82sYnGA8gQDDe+Pz8vNzO52bkCPl8w4eBYsbjttb0kPJIBlI76YNEgnELch7pRwxM/Kma/UmojxCie9oV9OiQ0FjPvnehnc+xUGO9BUu+wPZpRNAPK9XWB1YByGWo3tx/oTInCXquWuT+CxWOvApm4oebyvez+FwR8gqe6w/+RtwSPIgSP9D9fLsdhDKfXvlBIj14HZ/t/J6v1+tmCTw26iOE6J5GBT0b99kzQ2zcEcm6qWoWNdars/ALbJ92BP0qtfVRVQASGcqyYEyFMeEkQV+2z0k+CF+pt7eh2AU+DGQ6wvgBavDncC+IYKmBse0glJH++g8yacPGtYt4tCMG9RFCnIBGBT1teZfEEMzf9I0a69VZ/gU2TjuCflijtj6qClCvF0QkpWeloKfspiVJ/RgAatubyjCSoGQpl73K558+5RzExs+l4dAOQrn+g6R2D5LKsmhnp0pTqI8QontWEPS29Qo/0aT61XNuCPNtNPoMNrvD3WqT1p9+KpRSI5g9CuxKOY0U/OlhJ9TxDKtneUnR54mPp6akAqaWUbOs8gUa39/ftFuwMLjiqwb/i0hQIgXbBn8Xd+v65yISlhGLKZ7wxi14I1oq43HcW+nrZvwNDHcLEEbrX6H+LfxzkbCkufny2lpTBZAnzCLu1PcimDsy/aZYJMau4L9MIV7QW6TEhh8xkwR9YB+PjK2R0YG9DQsxnlNnnJbJ/ADMRB7vEpSvQRP8HYRypaDn4AQElYVZfSpjy3ok6IXonqWCnhqRvQ5ln7XI+BelgF2hASjbYkoBC+M7RfY0cddCnzleaSESXEk6l2DjfhKTyoUlhQykCLB4KksqZlIZNcsqXyDhhj8KtVh8I0vfbliYgtV+fJcVh7eZprOaQERygy/gB8Bk+7oZfwPDnwMbxMBPYupb4L8m8fncOGOX19bRKsB3YZ6YQLd/MQEWgGqeV/iaCGD5YyK7xux7kqBn2mwsfYkm0WMCe5vhPvKMM9m/4HD/JGw4irtynzGzLtgvG/x3lJocqBT09sTgOrO6kUWn1pCgF6J7lgp6tJ6+Gw52dMXL+uhFTCbaRYoAmzpih5S0qbUlaQRmh5QzveWs0kka9+UlNdz7e/uzpqSS1JdRs6zyBXooNbzGohZkPLwSG0XEsEKZyMO9/IXqvPA47on0M5pJ9RN8A1S9JsXi6lzzFkFOvt8I3mt5bR2tAniol6ScXPcBWOhed1Lv+sFJYNRRMw6ZKugNepgZzZbA3mYYE/R+op2LJ7xOdzG5lCQF9OqsIujLNei0SNAL0T0rCHrfnQ+3Ps9+T9rpxm1x0JWWZ3Q4c4Y+DGqjMDOaa/S7ZHlJDalyGS2pHJVl1CyrfIGeWGFXVo2AnOF74HAweBwFWXIHZDkBtDmx2d/4lppImFcmFrlkkXyvJbW1RtAHo9OkSZUv9PhKkLE56Rw/d57zU+64LQ+hA3ubQqri8TlXXWwtouD2sVwj1mIVQd/31pfZnKQrFOLMLBX0nKKjXIh7nS0E/XCfOSs3/RL0AeWSGlYV9ENdGTXLKl+gZ2tBb6BkzWDdHhc/fWoCvOHQVEFPvUhLm5z1yA6C3sQxUptcVGlQ0A+pcYgntrcppCr4qmk0z6xAPLbJIanpCzVCJjeH4CRdoRBnZqmgH+4HCrKFDXZxbSToTZsWwkjQxxRKalhb0NeUUbOs8gV6dhD0ti8C4i/YA5BUeJUJoLk5p4Fj9ymVkSCYbfdMnui5g6AfbhLWZqORnqDs2hT0lOy5Damxvc1wN5TKCXpv2ejvNU2ffJ196nKlHM+ZAGlTbIGTdIVCnJkVBD0xbxjeVHcLQW/eGC7RGYpBeiTokyRLalhV0FeWUbOs8gV6thb0tIS2ieca3VmTACp4sxGfZ3LjY8sZhe8j6AmGKGY4XpbvLQh67knImdzE9jbDfUNCoGspgs2+nH8GKefFpKRuStAP900jQbZwJCO3lUlO0hUKcWaWCvpgQ1iwaWyeoOefyVVmbkNkOx773fNMOnfw6CwvqWE9QV9fRs2yyhfo2VTQxybyweOStsU1CUgexjnD5MZ+N88qgRRbXltHqwAywQ+9OFbxqneGoOef5eOEFwp6pDPnXoblHo8nuZ09ebBUMDaLhyLmhDSOcAdFWP8NsOolD5Y63PTBPkjQC9E9SwX9y5/nGrKfWCjoc04Dh5sM9TKL4iAZUm4rA8olNawn6OvLqFlW+QI9mwr62EUMR2t8HPSN+e32xZ30RegTYHO6ppC8yQ0vVo4KYu86gaDfwW1l7F1nuaCvGYcUTorF7X6YgWJCAQUu/M1PfAyyK2deEo8iuCc+OE023j/KM62Ci2W3lWtROCkWqcUb+Z0PTH88tjxJgz8DCXohumcFQW9+uOkzwfffNjUYaALfo7PT8m0xlUTcV3G3n+/wKGXiqZph+onrh2Z5SZnNg5VLTUnFTCqjZlnlC/RQGvoIzYu8xWaWwQU/mLbB1O9/sBsRP50z2ilIeIo5nmcYHkHKeV9eQZysJvE3YBsl6afcLFVwCxNZ8xaM4dfdATwC50yGltTWGkFPLc6kBpKXAtGXY3IUxIx9uR3sZVlU8JNoVSY5i8/4g/l+xIYnImE8qKvwMQSnXAXPtWMHbOdAENjWKPiFcLNEclMsQ249JreqFO+ctlMC4lSxdLhJo+ClR0jQC9E9SwU9+gDbZ+m7h+HeXRm/3JGT5OV2XFEQjPf+uOEf5EPySuBdIVAJcQwds7CkgnKxM6RqSsoztYxaZvkXmAzDe4MryQyPo4rvsn/ZQVEsVnp0CSZ3/TmpuBcJwy+QevwM4m9gcK7QTZHjFxsWVr4FlRav8Imx6lpeW5MfpIfJYy75Nxr+LNlL5muPy5G3cyiS9N4T5MYlGrFwUO0HFXaaGwdRBXnKxYHyucL0OsqvIjnNj0fbE7ktJBlh4R1XIc7b4PvntxoPsH/dT7DOnXErjNEKIoQ4OpeFgn4j2F3NPgqe04SHO89oNmqsV2fhFyjqWaW2PqoKcOx0oNWnGXAY9uhUiEWojxCiexoV9MNt+mq2A7K3t7dTOS9TY70FS75AUc8qtfWBVYC2Mb0ae9A3Ua9vdx7URwjRPe0KepqBzpi3+/3799mMKdVYb8HsL1DUs1ZtfWwVwJikyzls79NJHBr1EUJ0T7uCfrgblU7qThDYb1k7CQ8vqV6Z8QWKelasrQ+vAhD0uS2qBwXlgtLRx98HD68gQoitaVrQE/p8qAlJ1xBbp6dBGimpXqn/AkU969bWFqrA5+dnN5r+6+urvCtXHIsWKogQYlNGBL0QQgghhBCicUqCfruRhFgRlZQ4OaoCQhRQBRGieyToe0AlJU6OqoAQBVRBhOgeCfoeUEmJk6MqIEQBVRAhukeCvgdUUuLkqAoIUUAVRIjukaDvAZWUODmqAkIUUAURonsk6HtAJSVOjqqAEAVUQYTonoMJ+kk+6d/f37dOTyM0WFK9stwnPT5LlFdTBybgjd7e3l5eXuzK19fXjxv7eCJfXltbqwJb+6RHAV2vV/mJF5W0VkGEEKtzGEE/49hCqISTnBrbVEn1yloHZ7Ym6KELIdyRpAcK+mFxbW2qCmB0FKt5lDvz+fn5uX5MWLgLZbTnSa4cQry+vtbfgrQhPBL/9PSk4cdjaaqCCCG24BiCHj3BpF7QQLeKG7vvSNopqV6Z/QUeArxXIOgfwpLa2k4VgJqPVxugayFq+f1gLIfU1szfj94FxQy5v7Wm56mxSMmkjwTJxi3IDRQoYni+0X1T3CztVBAhxEYcQ9CjY0PHMPveSbNKR6SdkuqVJV9g+zQi6IcFtbWRKgDZDYUdXOSajNfiyGqIXcjcQlSVd/GJOwjlz8/P+o8E6UFSfVbwG7ter5slUJRopIIIIbbjAIKeHcnsWSh2JIhk3VQ1RSMl1SsLv8D2aUfQz66tLVQBSG2o2MCYitIW+IuQ6UhwYYhYfxdD7iCU8Xb1H0nSroy2Q+VhjNiIFiqIEGJTDiDoacu7JIZgrqg/GimpXln+BTZOO4J+mFtbW6gCkNqxYKUKD/KW4jjQ67Pvop36DkK5/iOhdg9M1Jg/7eweORUtVBAhxKasI+hp/Hq5gV+CCbbv72805WziaVUZ9D22d4odBn63noBSI5iUQpiLgxarwZ8eRt7xDOtaJTXcptYsgC8IwqKkNS2CJc2FydQyapZVvkADGUgbCQuDKyiUlxvD3YKCmV+wo/B3cbeufy4iKZeyL0c87nq9BlqNfm+C74r7Vhmtf4X6t6j5fubV1soqgFewpiZ4BYK8sndECgt7W/ET6TcDodjIhDAb4xl0PiL3mpPuonn9DkK5UtBz4AGCD5jT9t0bQLaJBL0Q3bOCoEffY/sF0dOwtzYNwSsm4tHrcCnZ+iR2hOxZ8TsbfdORlBrJfpcPMqWFrhdXklvNGGfH5purlBT3fQIWDYJRuARWvCbRmOEF8TqpjJpllS+QcHMhczUW38jbtxsWpmCSEd9FiTn8aXtNZzWXP+dKraBZJZlsr9VwhRH678oPbBADZfHUt6j5fubV1poq4AuImRA8iIMN1gj6kAnSz5diviFDEINlWs7EPBhr+QRfojnseXexaJCYZFT87yg1G74rBb09MbjOkm1kIehsSNAL0T1LBT2Xhn1nQAFksgbdTDBrxfkku8jW38/loMW3CNmxJW1q+WiODdg950xv+cSOO5JVSop/+sUTZCw7ZrsYlMX7jdGH1pRRs6zyBXooa3y+UQv6Ue6oScZwrzi2SxL38heq88LjuLfS17ik0go0GRV8sHTmb6l5i5rvZ15tHa0CTEyc7abX+acfjyGLgjEtUuUHAFyysHdJjkPK0jw3rT7pLqunxQxYgVUEffmrFhshQS9E9ywV9OjwcjNDw72PjDs5ag52k7FJA66bbijPHlGDIgFQG4WZ0VwH0w3LSwraJTnJRxlnpcMwpgU55Vx+bmUZNcsqX6AnVthJE/bRLzZn+M7Z99zjKP6Cuf+aBOBNvYuV+JaaSGq+n3m1dTQ81xwKVkycsA8CBLMPHAt5ixfLyZwEL0vz3Dcz9a7yV7oWqwj6vrejNEvH3Z8QgiwS9FSBhSY+Z64QyER2pWjo0VEFHepoR2UL/YV0StCPllTOYCAQNCxQWkrUb8KrKaNmWeUL9Gwt6A3oTjNYt8fFT5+aAG84NFXQ13w/Gwl6FlPuv6wgcYBgkYrVhG1XYMg+T9CvYnJTjk0mN2KQoBfiBCwS9KOSItctxS07bevZ2fsF5dHOxrrYQhgJ+tGSyvW1cdaZbf3ltvZS4wC7poyaZZUv0LODoDfzboyQg0F1skpWJgCiFkNxlD5qaOyGpTKS0e9nI0FfjrPw0KBwzbaeL2vDklxbF2w2CKLNbYqdetc+9atSjudMgLQp9oF03P0JIcgiQZ/zZmBwmTtuwZPThNwRG0woljsqGrmaaWYuGRL0oyVl5uDB9ZxqRPh4jjZJZRk1yypfoGdrQc9KZ6bqweNmC3p+IWY+N8/kxseW+342EvR8XG6Tg1WQnFaOE8mctELPCXqucQVtICVvwZp86l1NCfrhblQZZCZHKXJb+RA67v6EEGSRoB/uDXfcRrNjy8lEag52P/jpe1l6X7Fb2E0mLU25DZF9Rux3zzPpjMMjsrykcoKGJWgyxW+HMD8hBQ+D9WXULKt8gZ5NBX1sIh88LmnHXJOA5MGfM0xu7Pfc9zOvto5WAarJ5OQCf6HiDypIcJpSsB3IO1ZnxsaOiWjMkzwiquDJZ9JdOXuh1akvF1aH5MFShxvS94EEvRDds1TQ29ykTQ7R1bQJoMBJn120jsF7iiDcecbfc1b4w6039TKL4iAZUm4rh4qSojoJyoJG2NYHJ72jFAR9fRk1yypfoGdTQR+7iGGxmltYG7l5sZX0e+gTYHPDVvre5IYXK0cFo9/PRm4rbeLfvzh+915HL9EyS+AbyjvgsjgZYWEcErjiHe5NnN9FgNsRLM6c8l0+GYUt76tQOCmWi6t+XobOiOPxXseNcONI0AvRPUsFvU2zsUdhl+OnqczfObs9O1kmcJfx+vpq3p293KGSiOfVAqE53KVMchLaLwh0ySolZQFwkRnLLPX9NO9lTtLHeWHGblIZNcsqX6CHU/4+QvMib7GZFXLBD6ZtME16GkX877czwjgzzVOQzPE8w+AKitKfNYY4bd2MV0xt22lQiJbO5u0WJrLmLWq+n3m1taYKWJr5XPp98iXIAOahH2nAW3sNylpjnuyRt8FwN2kP4x3/4/fAXaylPxjm1dxFgmW0jbDPOx5RcOwRFAFTxbrAjRNBbos9kaAXonuWCvrhT9v35OGL6ACCYyl9s84NfLZPjlvu/O0/bvgr1n9YCgNPDoFKiGPojLVKigH8mb7B7Cl7ZWYytU6uh55aRi2z/AtMhuG9wRXK5dGo4rvsX3ZQFAfJgNYyviihsFmOdDhjypVa7SV1Di5u54dhihy/mLqtfIua72debb3UVQGz3efnHT/dD2+QgcGAClf8e9k0BOF4IOm9h4rcyiVe1OLYID6YuXzX6HNXIf5ug2+S30886GXbfsm0NmJPKiuIEOK4XJYL+q3hWvbUo+ANThMe7jyjSTRSUr2y8AsU9cyurS1UAY6d9l99CpYRhIhpoYIIITblAIJ+uE1fzXZ29vb21r2jtHZKqleWfIGintm1tZEqADXvjY52gGsOMmURZRqpIEKI7TiGoKc56Yx5u9+/f5/BcLOdkuqV2V+gqGdJbW2nCmBMstt8ufezJESBdiqIEGIjjiHoh/sWtEldFwK/vLx0r+aHxkqqV2Z8gaKehbW1qSoAQZ/cvbouyCvkmD5IUUNTFUQIsQUjgl4IIYQQQgjROCVBv91IQqyISkqcHFUBIQqoggjRPRL0PaCSEidHVUCIAqogQnSPBH0PqKTEyVEVEKKAKogQ3SNB3wMqKXFyVAWEKKAKIkT3SND3gEpKnBxVASEKqIII0T0S9D2gkhInR1VAiAKqIEJ0zzEE/efnZ6Vf56+vr+v1egbf8552SqpXfv/+/f7+viQGfJk/brTzcbKyPD09+YsvLy+48uvXr33SgASs4km9kSqw/DsZZa0cE6eikQoihNiOAwj6t7e3Sae0QKac7byVRkqqV/D54SNcGElrgh4v9fz8HHuu3VnQIzemVvAkLVSB5Hfy+fnJfEbRf3x8VEZVuGutHKsE4xOkASlBeuq/inl3ie1ooYIIITZlHUH/+vq6Wor+BF3XjBkvqHl0J+fR9C2UVK9AOUHjPjoVWxEL+v2BQoXsW6hQK98C4ngjfZn8TvA4JIyKHM/FSKlmZDh61yo5VgOaCxvdMVU1D513l9iUh1dzIcTWrCDov76+Nmos0BlAly+5t5HZ0K15eEn1CsaEyDHk26MTshUtCPrhns9LRuCVb4E2YQtBn/xO8CBc9Fr8/f0dVz4/PwtRVd61PMdG4XO9FufqTbk6zLtLbE0L1VwIsSkrCPrX19ctGgt0AOgG6hepAyDlcfv1el03VW3y2JLqmOfn577XNBoR9MNN9iG3Z99e8xacLd5C0Ce/E7xRoLk5oi5PUtTftTDHyrD9DPZXQKYHg41V7hI70Eg1F0Jsx1JBz8Z6i8YCHcDCyVHq1zPMDD22pHqFOda3tUA7n8RC24zRt4BEhtDcQtAnvxOq8DhVtCzPzaxPumtTaxa+VGBExOQFen35XWIHGqnmQojtWCToubrqob379/f39XplJwQgrH1XhN/pWwM9K9p6ym4E9j0TZ3qCSangcew2OKEV9yLDn6aofTO7pIZbLtnmSPziV/ZROrRcQmCWKaffCuseNBjwBE9f43V3gp+WHxAueTvcyzGqXUFW2xX8l6WAn2U7Cn8XCsJ/+YjEqgNLLb7ddiuiHC3l9l/ze+NVb7k6V76FPRc/ET6ez6YNyez1kHLmI5FU80HrMRQzrfL7j7+T4S5t4xl0Bs41SpPuWphjZVimcU1nRuU+0Xl3iR04VtsrhJjBZbnJTSxlaDTJ5psaCH/SnJ1qnrdQSqKzZDfgO0V0wJeURsft5vyBVzj9wx43CMxHb7cq3Q6zS8obvNINy+U+hYn8xH8pg1BkKIvrDV4pzAviRg7SfIEiZlw80GoJ3iKp0ee9Hf2f+AjxhVs83E+J3KZuK5hk+LsQ3ooDj/a215bIQNPjvybWTXxbknDFJL4X9IXqXPkWVPPMHz43uc+Y8czb91JTBZgw/2qFTKv8/nPfCXMyfk2mIbfRf+pd5Ry7VJBLSfmJuVWOeXeJHajsI4QQx+WyuqDnvJHvk+J+lErCW1VS7tgUFDu25EywLZ2zT8WNuQljpuQMDdm8kgLMSfuT2e77Y46+UF4mGjiJWJ4XpBcOK2J6SKx/nRYojAZnv12Q/6YF/eiobJLh4+FaClQyA1OMWi1j+n01ZOHGcvYSjcZ9sNHqXPMWVMP+uUlBv8QkZp6gH8200e8/952UpXmu+ky9ayMjomFMmudWGObdJXbgDP2gECdnfUHPzay+/4770fhKICXL81icv+dTynutTjIzNFvQP9+wP8NVzfkAACAASURBVGNBH1+JRU8Sfga81+uho5CTVmTe28X5P6qnK+MZbtLT+xKJiym2YatJQE11Ho3Ez/GTZLUt1/oy8wT9aKaNfv+576QszXOt1tS7luRYmbI0zy3QzbtL7IAEvRDds76g9/gV+RUF/XCfObOl/3LaJOgtWC4kxBbtMdYS9MN93HXQ/C8L+mHW220q6A3IUzNY95biydeZlIBcdR6NxPIK31hh8WF/QW8kM23YTNCvZXJTju1SgUxuToIEvRDds5Wg52Yy9N/oy1efoR/cQn+5+z9JR7KkpMym+efPnxwmrSXoh7tt1REPZhoV9MP0t9ta0HOLOc8WDfyN5F6nMgHl6lwTCc9vZkj8ktxv8BBBX8i0YYGg5478nDTPGZ9MvWu7GfrkHoxhbHvrvLvEDkjQC9E96wt6Whj7g1q3EPTcfjdqQipBHwQLQnLrgnm2WdHkhvcifqreLTTHpowK+hlvt6mgpxg125hK3TmagJrqXP8W5lImuba2v6AvZ9qwQNBz70Hsq5FNVk7aTr1rO0HPoUVgtZ9L3sK7xA5I0AvRPesL+tg78gxBzz9zlqa4zskqM6ZPGt7kHFD0x7ySYkcbn0m5iqDHB8B+3czNjzWs4mvmHM7Me7tNBX1gIh8Uk+1/DabGRxNQU51HIwm2rQc74A2OjvbcFFvOtKHi+y98J3yd+Iio8hbqSXctybEybDyTR0QVvNbOu0vswBn6QSFOzsqCHl1LsOpqLkHwL5Pdo4I+57ZyuHsAtD8DV9weua2Mg/mSitf3qbTMbd8wV9BDjiCAFXd53NUmhdHg7LfbTtDbJGjgjIXFxIs0EA9mTxmVT3mQgJrqPPoW+DP2rhML+jgx9UwV9PhZk2mj33/hO2HIeHjsj3pAGnDRy/eau/xbz86xUWK3SNzc7MeESFXgMrjmLrE/EvRCdM8Kgp4zlK83TCZySob+m83UmELcTkP0PTp1g9dJ8RHiw73H9b2F+aZE5EHHxsCHM/aYwbySsqzDn/TWYod8ITNRTKbevApk+RZ6aPoV9dmOeKgmEduB+nXmRmDnMPvtbI7cIrSze+2KRVWYzrQNpoHCY+HyYAfWNauGDGn+XvHfzxu2wxW/cA6eB7r5ujlanWvegpLOHoHHxeMfNguzt1vUVAG+L9KPhLEEy5lW+f0nvxPiHf8zo4JVR44xgrcevYsszLFR+Pr8qnmu1iXyVMPsCqrD6F1ifyToheieFQQ9GmuKb2u1zQUNfkGbbtPtPKvl8icmdPyV4T5bnDun0zR9cK9PWBxDr8wuKV6hZPm6QSMEqJNkuQRXkoOl+L+2GzIou8ahlkoqmKlvF4R5v5++ZHBPSOFjTsbjxRyKzMYVTAN+8WXNMCbiOQDmLwwfJMAiL1TnyrfAQ33I5CFcydyuJ5ldAZZFNtIoZFr9919OOfcTX6JjmO2/l9RiRfkusjDHarDzcS/RCcGEY7Pgmx+9S+xPTQURQhyay3JBvxEUl0vOIokPae8VNdYbwVWLR6fiFCCfl1jHPbYKPOQ7WZhj4lSojxCie9oV9MN9mmqehejPnz9n33s4Hl5SvUKrJE0xbg2tR5bk82OrwP7fyfIcE6dCfYQQ3dO0oB9uZjMzZtlpx3me3q6FkuoVjAw1D7o1ZsQ/m4dXgZ2/k+U5Jk7FwyuIEGJrWhf0w82Ed1LXRdPe86j5oZmS6hUeufXoVHQLBu3LtWkLVWC372SVHBOnooUKIoTYlAMI+uHm2aOyA+MR7iextDHaKaleoXvBR6eiQwKnjbNppArs8J2slWPiVDRSQYQQ2zEi6IUQQgghhBCNUxL0240kxIqopMTJURUQooAqiBDdI0HfAyopcXJUBYQooAoiRPdI0PeASkqcHFUBIQqoggjRPRL0PaCSEidHVUCIAqogQnSPBH0PqKTEyVEVEKKAKogQ3SNB3wMqKXFyVAWEKKAKIkT3PFjQv7+/4ykfHx+zY5jk+Pl6vXbpwrmpxvrnz59Iz69fvx6dEHEitq4Cn5+fT09Pr6+v60aLpq+ypiCYTkIQs2mqjxBCbMGxBT2049vbW3347+/vLg9ZXF5SX19fP24sPJPr5eWFzlAl6PeHtclAWTwkGfYNkH1k6OEEffJAazZQeBBeB89CrfT/RZ3CLfucmof3fX5+RjLQJiyZcBGNIEEvRPcc2OQGunyGZEF3iI6qM03fjqAfbrJDgv4hUNDPyHncAh05VXmP3sUvoQ9Bvy5shYKSwkVUQFxHZTRlHyh+NFwIsLWmh4K3eRYkEsmYNG8iGuRYFUQIMYOjCnr0c0heMIM16d6ebG+aKikJ+kcxQ9Aj8PV6nTqVXnmXBH2O19fXWCJzZcPaNKh2KGnI9/je1S1/PCw1nzx+V5+fn9s9VGzNsSqIEGIGRxX06OeW9GroO+Oe8rg0VVIS9I9i9gw91flU5T16lwR9EijjeEKBeRW0aVDVuBgsJzLkdvKa4wqfPIwxaHuz0RPFDhyogggh5nFIQc9tl0vMZrim3I3hTVMlJUH/KGYLelaoqcp79C4J+iS0bQsuUrsHecUcjmcunp6eNpLX1O5xZuJxna1qno0DVRAhxDxWEPTcqsVuAO1+0CehD0CHZLv08LsJju/vbwhrfwu6E7uC/16v16cb+MXHGaxND3fp4Bn+3CMYpJlWN5uuXO9JU421BP2jWGJDP0N5j97VmqBHi4Eqzy2ntAsPjNGRVCpX/MR/ffvAHTt+087n5ydV+HB7U24hxc+y6o0NWgifG8y7MzCSGgRmi7qFvOYQIl69ZJOr3bHHpak+QgixBUsFve+f0Duyp7EunGag/BO/e8GBztW6Tx+A3S0UPLqQ6w1esdl0BEtqdHu61/qIP3YWYW8H9nEZsTWVjXVBr3CDo49nVK/4QZSfLxwV9FNHX0dhlffCt4psZzF5avZ/S9AXMJN0Vnnmlc9V1g62Ffzg7b/4FxWtXUHtsNaGWt/ClOfOc3ZKjCooO/uigsBMfDDNEfx3lMK98cfGV5PfzONy3HZVCFHJZaGgZ69m/RB7IOsP+KcXzfiX77TYf/h+gh2e9+QQrDszzqQFPH1HXO4DDHqEyKWc44Q+JpJrSqqgV+j903fzs/XKUDdDP3X0dRQWvheymgPgeZkgQV+AVnY+MYGu5QyC/cmFR/9noHRtZsFb7o2aprASxRbwZUEfRMh32cItaVnQd7OkeUIk6IXonqWCnjPopj+Sgt6vL6PzKwv6+EoQZ67LIUgJlTqClf279TTnVFNSZb0yRPpmnl4Zqk1uJo2+DsTs96J/wCV2FBL0BbgV1SvpWNAH+e8brljQxzEM91alUARJ4Z67boI+dkhfmGVfQlnQy3nlcZGgF6J7lgp6w5vQ+P7ATieBsonl9eqCfrj33KPK5oSCvqBXhpQ6maFXbKa/pvuvH30di3nvhbxdaKMsQV8DioOjrODztnYD3208rHqsoE8mJvfKMrkRMRL0QnTPCoKeW814oCDNY4L+ANdtI1ogWbYQ9MN9FFEO01MXVVNSZb0yrCTop1I5+jocM97rMvdcBUOCvgz32aOlwk9uiw/uQv7b/n78Em+7307QJy0Ac5tit5uhzxnzaFPs0ZGgF6J7lgp6Kniz5Uh2e8OfG17L8n25oEcAaFZq+oKYOJugH4p6ZXiQoB/qRl9HZOp7ledTZ2+Kjedr42/+DIIeCh7tD7LRFkxymtjcdiG8Bd5a0HPrRaCYKa9jy/XtBD3HOfEQgk233FYeFwl6IbpnqaAPPCLHNvTeaJV9qu8tZgh6/pnbmokBBvs/M3vIda7UW31MDE9qrJN6ZXiQoK8cfR2OGe912WaG3vwtGvHxC2cQ9FTMPoeDzztwGkPjMVPYawl6BoiLgEs6yYOl4h20DLzRGJgfbXywVB9bXE6LBL0Q3bNI0Nt0TuCRhj0NLsY7L2nJbX/OEPQ5t5VMj5+BY7cXyFb/dpczua0s65XhEYK+fvR1LOa9F10JLXmuTG4KBAXhT1BiIxA44GLiVxf0heN12TZai2R+NuOQZbeVC4lLjY/b7mxasQMS9EJ0zwoz9Jy8oVtD2xOJzgYdwK/7eebmLTHoKgJvaOYhxM9Ucd3Z+9JJnqvC6X8fOWLjJl3EGcx9sjvvxsyjpqTKemXYXdBPGn0diNnv9UAvN4UzX3MzyuW7SFOCno0GmwgewsC2C78zhdTTfFO6H/WlxrxFexJMXviGyBqcgtQuHGnHFozHXdE6Lvc9sJndbvSL+PFoxs/XlH+boyNBL0T3LBX06G9MNLMDwC/WL9LfuZ2Sw42zvDE+hafmCrte9jGByAjCDHct4mOzwMkYjkuloC/oldjj9Ty9Usmk0deBWPhej/JDT7EbO+TxFTBOUu6u4PZGBD0SaQcpsBXiZLl9zHgd32L4owPidiloW7i6EgTLpeTHjeS/6GDgkjnItiaGteCJ3Sxfzc13QE0fIYQ4NJeFgv5RoJtZcsoJ7u3JJLSmpAp6JVAndobUPL1SmWB7VjINB7W9Wf5ev25H9u52Umx5yyxXzJAYm6+tucu/S+5fq9NyYxXARZvZSzGc45fIFpM4UAURQszjqIKevdq8TpH2Nj15bGi5pMRuzJ6hHwXDiRn1RYI+x+uNeffSXmjd9IjuOVYFEULM4KiCflhwtii6w26MbUjjJSX2YSNBz3n6GTdK0Odgls6YZcewqqcj2MRuHKuCCCFmcGBBP9w0/VR77re3t87U/HCEkhI7sJGg5zFMM26UoC/AfSyTMjbYby1EPYerIEKIqRxb0A+3Tq5eMSBkT5Y2xiFKSmzN6oL+6+trtpofJOgr+Pj4qCwvBNNBrWI2B60gQoh6Di/oxaCSEjeCvaqP8soa77He4aGqAkIUUAURontGBL0QQgghhBCicUqCfruRhFgRlZQ4OaoCQhRQBRGieyToe0AlJU6OqoAQBVRBhOgeCfoeUEmJk6MqIEQBVRAhukeCvgdUUuLkqAoIUUAVRIjukaDvAZWUODmqAkIUUAURonsk6HtAJSVOjqqAEAVUQYTonq4E/aRDppacmNMazZbUz58/LxucXSpEQLNVIMekI6X28eUvOuZwFUQIMZV+BD2049vbW3347+9vhMdd2yVpN9osKTtgSIJ+f852yFSbVSAJWh5kSzCbwObo6ekJL/L6+vr19eX/ixqEWxBmnxTicUjMpMJC2ph4A29h//38/Mx5TQ5aYIR8fn7G9R8/fsQn41bG4zMT8Yy+CO5Fahm+18bqQBVECDGPTgQ9WuQZkgXtPjqPDjR9syWF3rHjPrJlKOhn5PwMMVdzF78ECXq2OUG54CJ0J65Dx5sYDRQ/mikE2FrTI2HX63XG6CsYQAbfHt4oJ8T9G0HB4wp1PG5HJgRzNDXxIA9xow2KGGdurgeZzPEDAmC0sNuQaX+OUkGEELPpQdCjUUZSgzmtSfce3fam2ZKSoH8UMwT9PDFXeZcEPYHQjMUl1zGsBeNsN4RmfK+f9t4OFmh9YXFAklPDyTHMcFPn/nX4hfjM4TcMnT0pHmQmEhMESL4Omv2nG2dooI5SQYQQs+lB0KOVX9LPoQOI+85j0WxJSdA/itkz9FPFXOVdEvTD3WIkmD5gzgQtGDVosHjIkCZwt4NbX+oL6/1GIbak1oeS9i/IUY3PHIxwaDNTHw8naIIhE+NBMH/R1PzRZ3MqOUQFEUIs4fCCnn3PErMZrske2vCm2ZKSoH8UswX9VDFXeZcEPfhxI7iYnD9mfsbzFBCgcQyrM6mwKJeZ2vpWlGMbbyfDSIJgeNnyCmoQDz/7OOWMx6oDlxRO1TQdooIIIZawgqDnhi02x8kdSGisbYsSzSKDiRa017YniTEEAWynFI0j/YR6sFo93Hsjz/CniWeQPE7q7LOWvRHNNtYS9I9iiQ39DOU9elcLgh6thLUzyYZouJuqs6HAL8F0OA3cqQUZQ2Dpx6aMt6Npwu9WBLFJCWFswYMYOJhUHm5WNzuYCE4qrMCuHa9T89UFdjIcwMQrpWze492xuXj42V+v12Q89kYM9qid4g+h2T5CCLEWSwW976XQ27G/8T0BVzZNo7P19w03m3I02d83uHbvt395Ucgu2RKGMEmNbinxWh89Tew+wt708uf2rGNR31iX9cpw6+osgJcjxLuPQDDbB+kHUX4GcVTQTx19HYVV3osjYQo+T40QkaAPMMN0VvOkpENum5U2Gy4vtXnFRDyarMBmg4/gO+L3oAhyVkks06Ck7PsJAucEq//vKOWMGqYXFl6WWynM0c2oXVBgb5NT2IEQr4wnNzCweFin8CfSzN9rnOEcmuO2pUKISi4LBT11czAL5dtlNJT+T7ogMM3HP4NZK8ZpFykx7b/sNf3jkhbw3EFl8VDI5t7i6A7LKhvrsl5hjgEKFARjVxfYuaJ0KIlw3eRLjpoZ+qmjr6Ow8L0se+dlggR9AC3rfAICdRufmUAJbt8/qkZg7sI47SLf0c8LoL5YhNSUsdItC/pgMp5P3HpqeXZh0SPn5ba2UJgfCexkhjFBn1s+jeMx050gP9mUcaafS7LsGli56FGnMFLqAAl6IbpnqaDnrIxpjkDQs48szNawywwCWIPLaNnWe1nptX6he+NogT1T2ePb6DxQ49SU1Khe4Z9ePgYFwQf5wipvhhuqTW4mjb4OxOz3osJYYlkhQR9A8ee/3kDQ03Fk+fZY8LGFYSWKjWpw3YogKTRz103Qxw7pK2fZl7CwsPjN19vJDGOCPud0Mo5nuLdjZvmDSmRGQbzCQVFgzpQbQXWDBL0Q3bNU0BvoeNAocyLE2mW2rQVVwaY/DuC7SdPliDaQ/qOmkHYQSVnZnEHQl/UKjZeSnvJ8h3r50xqKhZ6L0xvXjp75VT/6Ohbz3gsfZEEP1SBBnwNF4A3P7GK5JckZzAQVxA5Fil2yzBP0QeCyoH+UyU3y9kKVD+xkhrkmN3E8BHXHDGlQcIGCzz2LZXfcXqCMBL0Q3bOCoKddOw/24zSwtZVsjguqItfJBe242dZf/tx0VbO3ic10OUz3gn5Ur3DkEwcIjApYCktMQQpUjr4Ox4z3usw9V8GQoI9hM0KRZ6tPPnmFCpJrIuImiLb1rCZ+VJb7BpL2frlNsYeYoR9uL1VvJzPkTYkKm2KT8SSp3BE7z2HrUZCgF6J7lgp6KnhbiQ76Rc7RFgwTvWmjJzkS4B5B3y+OCnoEoOF4uaXuXtCP6pVcTsYCwmzrWbLrTqXXjL6OyNT3Ks+wzt4UG8/gxt98r4Kem0aQdfbF+g/bbK9z3zNbnlikJv0kckesrcz4x8WCnnP8QRtIgRs/7iiCnvM7yX8l7WQ4vooHMMzDpBlMMp4Y6n5/7hXfLvb+mXN52QcS9EJ0z1JBH/hFDoSjze8G3eSvG0O+m8Qttq0q8GLpPTTnmmYLyWBm9pCbsMxZ/hyF0ZIa1SvM1dyMYKwgET4wr1pO5ejrcMx4r8s2M/QotZc/iS0WehX01M0+VwNlzCYilqFMc66CsAVjPuOntwm0o4v4J2cN4gyn4kweLBXvPsqtpK3LwsJie5v7gPGv5K4qVpD4YKmcoWAuHo9t/Q+GBLwYpJAz9LKhF0IclEWC3qZVTCZ6kxu6oWTT6V0+o7ewNjrplIAX/Qpp0LVY/5dzW8m0+dk4doQ53wtlsds+lUOvgl6xggj6s+DAIL/YYjs+V+kC60dfx2Lee+HTXah9ZXITEGS+P8nIO7JEMAtDJ60mwc3XoY/We/H6dTuRw/8Xf5qgL1h0MJi1P+ZhMw5Zdlu5FoVjwlDZcd176kSTEihjfPC56Xm0w/GgiMRfCF82qdoL8fikckAVx8CZJm/lz6Om+lsbNCToheieFWboOYmCxhetoZnEoMthM8q+gT0lAiBk4L7Dpr7M0zydJ1oAWwn1/a51usmTVsz5vV2xowERc9D9sGs/dFNeU1KjeoVlF3vm9lIjGBExzuWCftLo60DMfq8HerkpiLncHHP5LvJwQc+Ggs0CrTVsruH97jneH9FAke01n033Uq3amQyBjy9zSxq8cuEAO/NwjzhxLx+dszPZYazLvEru4eY34Mcw1uDjd+42Lm+UL2yWZX7y7fhFFfzbFOJBDHbgSa4SMQCL0k4cO3qDU0CCXojuWSro0VyaUGZDTMnue/1f7ihZtJtxC4sA5rEbtwezOxwq2JEl9iDCdj8QGZc71rVYAuIFgWQMx6KmpEb1ivexyI6N81iBpz/Lf/SCq8xpTRp9HYiF7/UoP/Q5MWfS7ZIyBypIQH/7AwW9uUg3825OmQeLTmb7PnroNTfX+vfl2qPtMIntyH/cSCbPjszLHWE7GsMqjO6yYJvg38vOk0LC4qNzPVxQLdvJmIOa5LF3o/HYZmJk5miTbm7ZynneBxL0QnTPUkHfAmj6a3ZH5cC9R/d6XllSo3qFAXwnF4y+6PuSPT0CrLIpdtLo60Asfy9ONO52UmxZzHG8x80tPtqajbZDA4K+BbhEM3vhhXP8o4bjQsQcooIIIZbQg6BnPzevm6S9zdE3Qh2lpMRuzJ6hHwXDiRn1RYKevN6Yd2+lXxchYo5SQYQQs+lB0A8LzhatWZltnwOVlNiHjQQ95+ln3ChBT5iBM2bZMYjq6cA1sTNHqSBCiNl0IuiHm6af6vzBbwk9NMcqKbEDGwl6Hsk040YJegOiPLmVqECwu1qIqRyogggh5tGPoB/uLtUqA3vna0fncCUltmZ1Qf/19TVbzQ8S9BEfHx+VpYNgOS+QQlRyuAoihJhKV4L+tKikRECwV/VRXlmDfcAS9EI8BFUQIbpHgr4HVFLi5KgKCFFAFUSI7hkR9EIIIYQQQojGKQn67UYSYkVUUuLkqAoIUUAVRIjukaDvAZWUODmqAkIUUAURonsk6HtAJSVOjqqAEAVUQYToHgn6HlBJiZOjKiBEAVUQIbpHgr4HVFLi5KgKCFFAFUSI7pGg7wGVlDg5qgJCFFAFEaJ7ehD039/f7+/vX19fNYE/Pj4+Pz+3TtLONFhSSNLb29ujUyHOQoNVIAkan58/f9aE5NG8aNy2TpI4A0epIEKI2Rxe0P/+/fvl5WVStwdN35nWbKqkoFfoD7WzTD4ckwa6j+XXr18LD5FtqgrkQI2I1Txe/MePH0j/8/Mz8sH/C2WHxg1N3A5pw1NeX1+RjKenJw0k+uMQFUQIsYQ9BD26io2OfEfM6Atn9D1vN7ZI0kNosLFGufSUw4djxkD3sUDLLknwWlUAonaVeGJQHeJmEI+DgKaO//j4wFsEip9N3NaaHglAMpBC5D9GEc83DvTxiFEa7COEEOuyh6BP9mTLQX+Drq5y/Tp5L3rQ1VP1EOpLaju9EiBB/0BmD3QfC+rybB25SmMFLbuR7kFTgxIJLqJVDBQ8hjQQ1sGiCu/drjQRMx7qkwd9j4Rdr9eNnij2R4JeiO7ZXNBDWyCeLQQ9+hv0Q7NvR5LivvOgVJbUdnolRoL+USwZ6D6c1xszblzlw6bNyfJ4AlDv0NQE0weU0UELRnO1oOIw5HbymuOKIHm0AuqjeRSDBL0QJ2BbQY+u6Pn5eQtBT226RDJypNGH6KwsqY30ShIJ+kexcKD7WDg3PGPb+vIP2/Z+LIwnBhUhFsd83MvLi7/IZi0uPtbcjeQ1tXtgvs80d7OGKSToheieFQQ9jV/ZF6JvMO2O7oddhcf+ReNR9l603eS/8Au6upcbw325GcEQ3i86x6vVTLDn1w3/Z5DyeIbsoNSU1HZ6JYkE/UNYPtB9OIH5RyU1H3ah2WF74mE7hgAYIFk7htu9OTt+5/AJbQsjZxvo26XYoIVQMcfz7nxQYDRP8/ot5DU/GBCY9DBDdrPQE1sjQS9E9ywV9FTMFBDoEtil+fl4dgz+Cns4M5ZlAJupQqfFSX1c4dZV8wLhZQrDxBrdOmbrU3FX7D6CcBzSgRfL0ZLK6ZXBZfjl5mfD5wY6ew6oEJjKhkMgr0J8nH4GcVTQTx19HYVV3gs5idyLx8PBhG5McqA7A3wGfHogfBfCrbpJcWywDZm6DXS0CpSbHYskiIdG7UwMyxF/Mgaqed7CSoQ4KdN9XUBOJguO+RAvXSa/Ez4aj0i+mv/ACiS/Pbs3uJ7MH3FcRiuIEOLoXBYKeva+1lWwe/DdQCzoOdvkrwQ9CrtA60eH1Eo0b0nqDPap7Lm5OzC3VB0PPw5KZWMd99xe/9mKCkuTTg85nQnhgjK93uCVUclYM0M/afR1IBa+F+5CJs/zOJkb6OZAKZsGNeHOCojawQQgPYVKlMM+HnO8SFNyywf8DAaQduNl+o7M0Sow2uzEV2iV51szqnCfvcxw/6kHxiq51ykL+mAyninZQpOVBX0fC5hikKAX4gQsFfRUeNbZ1wh6ygXfkQc9ShxJECbXCRnWy+KXwlRfN7NQswU9JZf9GRcW5yC97xGa7oyuxVea3NSPvo7F7PeiA8HZbgoLA90k+PipHXELfqFhG01EfCR0Ul6fDM5V2/CA+UAJ61+Ne2yCe6m8p9bK0Sow2uzEVzgC8Vo8FvTxlaAS5YR7WdDHA2ZeX32sWxb0M2yfxP/X3hklx47CULT3MouaNWWv2YNHlTut4iGMMbj9DDnnI5V2bDeYAFdYSM8EQQ+wPKOC3rHJz31j6oLekbu8+3v48XFBr5l473uzsv1mQa+A0/4xNlY8UmydlMwB4LBUjdbXdPTVyxV2B4f9IsPUbdZB7KNeW8UyZJtYKki7ZwXTbaNVEDM3n62FaD9/b9jZSh3EsUKqCvcI+ijcK4Ielxs4BEEPsDwXCHrtBlNY9xi6oSjofauZ/Yxvk8cF/fZeWnaH1yLLTFrdgt6xVjDpGa2gDkF/lkbrazr66vUaCGZyVgpra0R6xD7qDrHX2MmNy8N2WnSkkYCOx2OO2M8J+vqws+10EG0jsd5hhb9whX7P309liBZgRZSPsOfMw6bYxUDQAyzPqKCXgve30i0ufBCMQgAABHtJREFUNzaFmNBJs0JeLujlniu3h4r0RNBv72dlD8GaUlbQzYJ+a7O+ZqSjXjurq/9Tf+x7/SKu4Oo+UU1WYrmeEvTFiFJF/43bBP3hsBOPyCMoTdR6oaCXZ1GmmPX8i57rHxL029vvLjMh9l7UwKQg6AGWZ1TQF1MM1gV9jKl8VtD7x+Japs1M7vNdj4If9eukdAt62Ty+bnqJy81ZGq2v6eir195/deM3FqWwYsukyAKP+25V2qLybo91Y8XIXMA9ZGqsmv3pHpebw2EnHpHmzjK5nhX0+hhtJL0MKSaWijto/c1JvY59aBgsJpZazMD+zSDoAZZnSND7elK2Y1LyJQ0Pp+nNzteWu3QK9EDIfkmLoN+L5iH/3TQ8TvZ1Kb8nbKWflp4Zl2PvF/Tt1tdcdNfLHuzIE6gYupFsddxzl8YyKIxmYxkUvjY9oo5mB4vRG7Mje3Ee6xx2gcNhZwuvATOvGE+TZ3/ySw4FfaU6OjMzD4rpq+thKwdRu6cl1Nd9Ljct3A+CHmB5Llih10xjk5Mix2tStMlAQlmrXArDp2le06SO2Pme6kUh57dkmdBnTXf0dPFdzLSiGTebO/3roqa3r1jDzaND0NvTiOFE9OQ9pc72YUF/yvqaiJF6DUa5ORu20lpcncgKqWvNJleB3cNeYWrSwOppQPcidhOt6HtYTNkDdpVHw9R7g9vCVh4OO9t7NPv3B+8gKowit6YpMrbEKkgHIn1R6tuzl8BO45Werfz7XzsBYbVQ8jlbV/dXLaziNjDW2xemA0EPsDyjgl4h+aTpJSPsF5u9fFrycHU+w/kR7aPd3u98NYW//kR2QnpEUrKYEdPPdLmZJVRKZ8QFcmo6jYN1plfcTLKP9mQkttQu9lgkMqRg0gVXt9AG40uetb5mYbxeI3HoO1KKenAq++ny2hNLvZKA9MJ7Wb3vyAxwDa2DbjakI0aGDICz/wCHXaA+7Ag9+XT48l0Q9ovdwZfblaUhG6ziXgXVQjUqtqbna3vtZ9qq3+Eq5CH2+jPbNywDgh5geUYF/V9EE2H35Tapj6vSh9DYUlGv6IiLNi3NahdgUZ1Ec6u7zKesr4m4pF72qPsyxd5gpmo1NxotV/HPD2evevJgpW41ssE0C4cPcJYndxAAuISJBf3397cvtnUwcu3TeHhLwZ0MGrqNyMX88tvqrVHHtpaHdwHFvuxzYlGmXhxgYISHdxAAGGdiQb+9HX76PBPWcLYRz28puI1BQ7eRr6+vorf3IPJu77jw+V3Aqtaxyi4PrpUSrsFf4fkdBAAGmVvQb++k9KeWr7Rj73NFup8pWgpuo9vQbb//JzxA0tBAZ5miC9hDO2UFZburAbqZooMAwAjTC/rtZ9pr30EY414vwCwtBbfRYeg2Yj3oE9sbFPSmu8CzdAEbfBo1vQ1oMZUvQB+zdBAA6GYFQQ+0FEROGbp/F8WIHLkDXQCgAh0EYHkOBD0AAAAAADycXUEPAAAAAABzgaAHAAAAAJgYBD0AAAAAwMQg6AEAAAAAJuY/IL1X8sInJXYAAAAASUVORK5CYII=" } }, "cell_type": "markdown", "metadata": {}, "source": [ "1.\tStandard Mathematical Functions\n", "\n", "To do some advanced mathematical calculations, C provides a header file called math.h that has different mathematical function\n", "prototype definitions. The prototypes of all mathematical functions below, except abs(x), are defined in math.h:\n", " \n", " ![standarMathFunctions.png](attachment:standarMathFunctions.png) \n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Example " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Write a program that reads the area of a rectangle (in square cm) and its length (in cm). It then computes and displays the perimeter of the rectangle in cm. \n", "\n", "Analysis:\n", " Input: area [in square cm], length [in cm]\n", " \n", " Input restrictions: area > 0, length > 0, area > length\n", " \n", " Constants: None\n", " \n", " Relevant Formulas: width = area / length, perimeter = 2 *(lengh + width) \n", " \n", " Output: perimeter in cm\n", "\n", "Pseudo-code algorithm:\n", "\n", "1.\tPrompt for area[square cm] and length [cm]\n", "\n", "2.\tInput: area, length\n", "\n", "3.\tCompute width:\n", "\n", " Width = area / length\n", " \n", "4.\tCompute perimeter:\n", "\n", " Perimeter = 2 *(length + width)\n", " \n", "5.\tOutput: \"Perimeter = \", perimeter, \" cm\"\n", "\n", "6.\tStop. \n", "\n", "The translation of the above pseudo-code into a C program:\n", "\n", "#include \n", "\n", "int main(void) {\n", "\n", " double area, length,width,prmter; //use meaningful names for variables\n", " \n", " printf(\"Enter area (cm2) and length (cm): \");\n", " \n", " scanf(\"%lf%lf\",&area, &length);\n", " \n", " width = area / length; \n", " \n", " prmter = 2 * (length + width); \n", " \n", " printf(\"perimeter = %.2f cm\\n\",prmter);\n", " \n", " return 0;\n", " \n", "}\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Exercises" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 1\n", "- Convert the following pseudo code into C. \n", " - Read Total width\n", " - Read Tile width\n", " - widthWithoutBlackTile = Total Width - Tile Width\n", " - Number of white-black tile pairs = the integer part of $$\\frac{widthWithoutBlackTile}{(2*TileWidth)}$$\n", " - Number of Tiles = 1 + 2 * Number of white-black tile pairs\n", " - Length of used tiles = Number of Tiles * Tile width\n", " - Total gap = Total Width - Length of used tiles\n", " - Gap at each end = Total gap / 2\n", " - Number of Black Tiles = Number of white-black tile pairs + 1\n", " - Number of White Tiles = Number of white-black tile pairs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sample run
\n", "Enter total width: 23.0
\n", "Enter TileWidth: 2.0
\n", "Number of tiles = 11
\n", "Gap on two sides = 0.50
\n", "Number of Black Tiles = 6
\n", "Number of White Tiles = 5
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 2\n", "Write an interactive C program that prompts for and reads an integer number between 1,100 and 999,999. It then prints the number with a comma separating the thousand. \n", "Hint: use % and / division. Also assume that the number formed by the last 3 digits is >= 100\n", "\n", "Sample program runs:\n", "\n", "Please enter a number between 1,100 and 999,999: 1234\n", "\n", "1,234\n", "\n", "------------------------------------------------------------------------\n", "\n", "Please enter a number between 1,100 and 999,999: 45786\n", "\n", "45,786 \n", "\n", "------------------------------------------------------------------------------- \n", "\n", "Please enter a number between 1,100 and 999,999: 999999\n", "\n", "999,999\n", "\n", "-------------------------------------------------------------------------\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 3\n", "Write an interactive C program that prompts for a measurement in kilometers. It then converts it to miles, feet, and inches.\n", "\n", "Note:\n", "\n", " 1 mile = 1.609344 kilometers\n", "\n", " 1 mile = 5280 feet\n", "\n", " 1 foot = 12 inches\n", "\n", "\n", "Sample program runs:\n", "\n", "Enter distance in kilometers: 626.5\n", "\n", "626.50 kilometers equals 389 miles, 1526 feet, and 2.33 inches\n", "\n", "-------------------------------------------------------------------------------\n", "\n", "Enter distance in kilometers: 8.0\n", "\n", "8.00 kilometers equals 4 miles, 5126 feet, and 8.63 inches\n", "\n", "-------------------------------------------------------------------------------\n", "\n", "Enter distance in kilometers: 1.2\n", "\n", "1.20 kilometers equals 0 miles, 3937 feet, and 0.09 inches\n", "\n", "--------------------------------------------------------------------------------\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Slideshow", "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": "3.8.3" }, "rise": { "theme": "yellow" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "131px", "left": "781px", "top": "290px", "width": "221px" }, "toc_section_display": true, "toc_window_display": false }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }