Question
Ella wrote three different computer apps to analyze some data. The table show the time in millisecond y for each app to analyze data as a function of the number of data items x.
a. Use regression on a graphing calculator to find a function that models each data set . Explain your choice of model .
b. Make a conjecture about which app will require the most time as the number of data items gets very large. How could you support your conjecture
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dz6CFLGBkpMTI8SqQSXN/n8cefoFytUotCBoYGKZXLjIyOUgvrrF+/njCOWb9+Pdu2boN6jc58FtexSDRo6VCPYk563ikctfwofD/L8ccfx7HHHsvQ0CDo+ACPyoGHCS6IcRwb13OpVAP8jMUrz34l8+bPw88VeOELT8dxXLZt3k6pWKJWC1j32KMMDg6xcdNGMr5PUK9RKpeJ4oj169czNDTEliefJEkU9XoN2zbRRQpBEtXpzPpMjI3y4OoHWbjkcM696A2c/cpXpJvqnrHxf20wngIJtXqNJIkJw4CzznoFhXyW/v4+zjv3XAqdHTiOw/jEBEornnzySdauXUsUK4YHRwhqNTZv3syGDRsZ2DHIxMQEtaDKwMB2yuUiSRKm9gGHsbExFi9Zwj99/euccsopbNq4gccffYSenh56e/soVSokqeN9HO/fdfN0WPKzSqJUSkPTMigJk4QgqJLNOrz4jJdQq9cRQnDWy8/kuuuuJ04UxzznaF5/ySXcfuttnPGSM+jq7ebHP/4P/nLttfiexycu+yRDQ0O87MwzeXT9E/zkyh+y4dF1LD/SwXNc6tohVFCuhBx/4sn4rku5WqGru4dLXnsx//A/P4fQCeDw9Ejx7IUxCFio2OgRLcti6+YN2HaWl73sZURhiFaKM172Crp7eglqir/92w+SFCsMjQ7zkpe+lNUPP8Sf/vhHHnjwQV5xzjmcccZLePiB1Zz1spdRmSxy55138X9+8xt6+zroWbCERCuGhoYA+P6VP+RH3/8OP/3Pn/D8F5zG8Se9AEteQRSG+Nk8Kmzdpej/FUgpSNCEYUiQKJQSfOSyy1BKEUYxK1asoK+3l23btmLbNm99/6WUikXGR8d49TnncsP1N/LvP/wexxx9DJd9+MPceOP1LFm8iBNPeh5/vOa3/P6aP+D7Hp5nMzo+RqUacMZrL+aE457Lvffey//4+88wOTnBKc87mXvvXcm8/j4c26ZcLmNZ+0ddheZpJ4N5VjFKo88QxmIrdNNvy/N8Tj7+uTyybh1hvcZb/9vb+MqXv8bkxDinnXYa73vXu7nk4tcxr78fgJOOP4H3XXopAwMDvOlNb2J+X79xIgaOWryA9116KdsGhlg4fx5aZBkfGqa3bxEnnHgSAD+56he8751v58ijjiVQEAQxTlb81S5G02uj842iiEQIapUJXnLmKzh8cT+33HwTtaDGK1/1Krq6e6nXEz5x2UeJUp2Z67lcVL+I5xz3XN76397Cea9+Ne96xzuolCv09/UBcM4jj1AcG+amW2+is38hKopIEnOkHtgxwONPbMROz0e1IGCiVMfKBPR5HkEUPv2V8ixFw46QzxfYvu1JFi5ezHHPXcHQ0DDrHn+cl774dJ5/yvO58447WHLoEv7uwx/Bsi2ktMhmMpx22gv57hXfYvny5bz9ne/k/AvOp6enByEtzjzzpYDmJ1f9mmzGoVYVZGyLF532QgB+/ctf8udrr8MCHlu3ls7OLhYtWkg9jInjmFwuR61WO6Djs694Vh29TZyvaXKSKFDG6u7YLuVika99/Rs88sg6env7OfHE46jXIyrVKrZlM6+/nw/+3WVcf8vNHL38KF5z/vnkC3l83yefz3PhhRcCcN6FF/Cas17K+HiJOA6Rlk21UuXEk0/m+BNOYKgc8W//+k0AlixZzNJ5PVSrdQ6ENNl84wFnApokUdi2Qy0wRzzbttOFBA+ufpiVK+8C4NWvOhfbdnE9j0JHB9dffx0fuPR9CAR/8/wXYHk+0hJk/Qz9fX287b+/jQfuX8VRxx7LK171KixLMjY2hgS60kp5n/zkJ7n15ut57gnPZ3hwK//+g+/heS4LFy6kVCqh9pMv78EKrRVaQBjWedWrzsb3XB5eu5b/9c/fIIpjXn3uueRyOaSw6OzsJJ/Lc9ONt3LZRz5JNpvlxJOe1xQCevv6+dSnP8m/ffMb9M9fyEWvfR3dHS61WoCf8cllM5x0khEoBoeHsQQsP3Ip3V1duI5LHMWAwPM8xsfH9+coPK27n1WMMo6Nn1eiFIlSjI+PEtQqHHnssWzYuJGf/eTHDGwfAOD811wAmBAmgKv/cA3/8cMf8ZP//AkAC/r6GRsbpxbUuPmO27nplpu5feXdOG6eeYuW4AhNENRMJIhQHHN4P315n+9d+SM2bdrI45s2c+KJJ3D6mWcwWa3uF2lSg4mM0g1XCAOZOtFOVVirdIz2Fxr9b4S0KqV493veTrlc5rZbb+ah1auplEt85COXYVk21RDQMT/58Y/49hXfo1gqsWjxYs499zy2bXoSgJtvvZUf//g/+MynPwVAX28PGhs/kyXX0UkYmsiX3t4eXvSSM7EdF6VMIpZ6PWJiYgLP92cVg/z/ChpxzXGSUAsCTj/9xSituf6GG9i2bRvjk5OceuqpFLq7dtlwf/vbX/PN//0N6vUaZ515ZlOfuG7tw/znT67izjtuB+DQww5n3vwF1OsRcRQhJWSz2eZztIZ8Pm/8ZGVDyDHP8n2/7f2d6okjpdzl2ukz2rqHzrNqBiWxkQwsKfF9n/nzF1Cvh7z+kks49JBD+MKXL+esV5wFwNFHHZveZQbj3lX3MTk2zvDwMAA9fX0ccdSRSCkoTk4ipWR0dASAXCFHd5fJfpREEbbr8ZxTTgPg5WedxYf+7mN0dnbhZgosPeq5VCrl9iZeaAPaHS20V2ijo7Skhef7VCcmyHT00pnNkc/n+W9veTNvefObyOULZLI+CLAthYoiqtWqCQxI8wJ09/ej0gU1MDQAWjM6PgnA/AXz6SzkqQUB5eIEUWQc7m+//XYuOO/V3H/vHcxbsJi/vfT9dHdmUUpTKk7+1apEwERzaQ1Dg4N09y/gtFNfgBSC11xwPq+95A1kMj5dhQ6WLVtGohKqoTkKR1GUMjSBN4WhDQ4NUavXeOzxJwDo7e1jXv886mFIoVBAKUW5XDbvlhIFDAwOEcXGmh7FUfNZ+0NH2QgNfbp4VjHKXC6HlBa1ep1SqcjE5DhRUOYtb7qE/v4+PvzBD3D0UceglOIlL34pju0zPjYGQD6bA0gdzc0xpDRZNDuulNRrdSbGJwCo1iJGxgJqYURYq3L0EYdz7qteSawUJxy5hM9++hP0FMzz+vIutjAW32eLT1jbIQRSWoxPTFIql0niKu9733vxfY84STj7nHM59zXno3WCAKIo4ckto5RLRUpFM+ZSCOr1OoMDA82wtsZCaoSbVculprQqhCCX0vSuu+7i6mv+xH333YcQAjvbw8REhWw2g+u6+388DiLINAa7OD7Kqaf+DT09PQCcfMIJfPgDf0vGM0zwjJe+FK1hctKcwOJ0nQgB1pSQWpUm5Z6cMJtXpVxhcrKCbbnESUK5EnDXnXcC8Jxjj0VKwbaBQXp7enEdhziK8X0fpdQB0U/OdtN8VhlzoigCIXAcF9eyKJVKLD9mBZ5l8fCjj/Ozn/6CJIx473vezuFLD+OMF59JedIQ9OKLL+Y3v/4vTnuhkQyrlSrF8QksaXHkkcs55phjOPqoo0FrJiYmwLZwHJeRsTH+5qSTOKS/mwceeYyr/3gtUWmUZUcs5W1vfStHHrWcnq4cYRTi+96BHJ4DijiOyefzhFgMDSSc/cqXY0nJ9bfexu3X/5mezi5efPrpHHv8iRy5/ASymSwd3S6nn/YCRoaH8RyHWq3GjqEhXnDyyQAsO2IZy45cxote+HwAxsZGqdWq9PXNZ3xUYNlm+i5bvpznHvdcjjxyOQCWLUiARjZ+9F+vjlIpY/FGJ7zu4ovo7enmkSc28Itf/YJarcYLXvACzj/7bC59z3v56Y9/3JQeD1myhBUrVmDbDhMT400h4KijjuGYY47hpBOeC8COHTvYsf1JPM8jSRIiLbj2uut4z7vfyQUXXMDdd92BFPCc5zyH3119NVsee5x8R+f+s3i3Cc8qRmnbDolSRm+YJExOTPC5L34RP5Phxz/6EV/7ylcAyTnnnMXhSw/jfZe+l29/1xhelh2+lG9961usWLECrTXr1q3DtR3QmqOWLePKK6/k+OOOY2RokHWPr6ezqxPL8xGTJc678HwAVt19F//0pX+gODbKimOP5g0XX8gxzz2e+YuWMDQycQBH5iCANqqR8eIki5ceyYrlRwDwq1/+iu98819wbclHP/QhPnfCSZx73vlUqwHIHB/52Kd5x7vfR0dnJw+ueYh1Dz3EJRcYw9pJx5/AT39+FcsPOwzQbN7wBE6avcxyXJNKCzjvnHM49eTjWXrEcnRc58kn1pB1LZI4QQj17Do2tRmNKK5MvsCi+cbr48of/ZCvffUr2I7DK88+mzNOO40lixaRK3QYKa/Qwcc+9jEuvfT9dHV1ctttt3L44UsBWLxkCd/+1r+xfLnZlNasWcvQSJGjlx9B7GRxHJv7H3iQ6/5yA+eeczZXfP8H5LIZ4jhm48bNPLj64WZUjuM4+y1pztPFs2oONdJQNfSB0nE45phjGB4b59HHH0dIC4h56KE1DA9OkM/nm5bRNWvW4NoOtSDgxhtv4rvf+Q7z+vvJZDJMTk7SUSiwccMG/vNnP+POlfdhux7ZXJ7evj6OXLaULVu3cP+qlZTGRuko5BkbG+POu+/Cshyy2cJf77Ebow91Xa+ZMGLp4YczUa3x2IaNrF79ID3dXUjL4pFH1rFu7RNY0iZJNDqus3n9o9iOy5btW/npVf9JfbJIvlAAYGRsjM7OTrTW/O5XV3Hdn67G9zMopeju7SOKYjZsfpKhoSEsy2Hj+kf5yZXf4bvfu5J583pNfaApeSH/GqG1Joljli4/BjubZ3RykjvvuAPf80jCkHVr17L20XVs3PIkS5YeiusZVcWWbVvQOmHlyru5//4HmhLgtq1byWVzBEGde+66k1//8lf4mQwCU4dp3vz5jI6O8rXLL+fmm28CoFQus37DRrRW5PI5Y2hMkmcNk4Q2SZRTLU3PJOq1OtlsljhJkJaFY0k++9nPku8o8MB9D7Jg0aGoKOQ73/p3rv7t79m6dQvHnbACgKt+ehXX/OEajlp+FBvWr2dgYIDTXnga2UyWlSvv5nOf/zwozcYtW3AyObL5DpSCSqnIV7/0ZYIgYHBgG329HcybN58tW7fwqU9/iu6uHnYMDJBPQ8T2G/byrkbCkv0VA66UYrJUptDTQz5fYP369bz/0ksRUvDAA/dz6LwekqiDVffdx3vf+x6UsHjnO99IcXwHX/3KV5gsV6hbDqtW3gu2jecZFcYdK+/gq1/8MsuW9HP3nSupTozTM38eofSohRWu+vkvuOmG6wmrZSwSfEfzxLrHGJmscNTywylH0MwKsZ9gxn3GL5u/2W/tEaagWVCr8tWvGCny/vvuZeFhhxLW6+wYHOBjn/g4vu0wMjLSFEK+//3v88iah6kG1V2ed9utt/LN//1NCtkcY6NjDAwMcNiixSZzuFQUcnnCri7uvPtu3vued3PaqacShzW2b9/Bk1u30tHR0cwU1XJ1uVb7PiVB79Md87YwSpEq87UWaYIEnSZtkDOmUZoNS3UcF9t2SaoBCMmSJYfw8EMPI6Ukn+vA93w8u5vR0VHWPboWgeb0l5wKQMb3eeCBB9i0YSOVSoXuzk5zhEtLWdx26234rkuhu4d58xZiW4I4rtOR7+CB++8nikI6CwV6unvwvQw9Xb1s3PgkT1rbyeXyOI67XxakTmPchSWbXgAaoJkoA8I4SVOTGXqgRXrt+qz27WuCXL6AihSO5SBdlztuv4NMxqO7owuwzAYXKR588EH653eTz1iUay4jo5PcfPvtRFKSzeTp6J/XLEZnSZu777yLxwo++WyGzu5OtJa4jovvxYyPjDK8bSuShLge4EroyGdZsnghiTKVQUnaXaRrhhEQAp2uA5lKXzpNCqS1RiuF47kghElQkRLtmW6ZQJDJZIjCiNWrH6JcLtPR2YUtbLyCh+e4PLL2EYojoxx+5DK68kaaL04U+ctfbqS7uwPL2plguaOjgwceXE21UuzKUNUAACAASURBVKGQzbNw4SISrcnmClQSqNfrdHV24loWI6Pj/O53V2NJSbVaZd78+eTzBaJYIYQ0pTLaqT9O57hJo2b4T6MYXSOUVQhhcn22OPBtYZRS2gjhoLQwlxJobQFyZt6hW58kQkjqtQjbMpmMbctmYd+CtGiQQCUJOono6siTy2YYHhmis7MTgEMOPYTOjg66urvo7e2lVgsol0qUqxWy2Sz5fJ7DDj2EMEywNBArbG3jZjvJ+gWkNExHa02tpslmu8lmQci0tOh+OEUICQqN7dg4vkctMn6ESseN1JwIS1AJqmQzOZQArQRCS4SWezJy3a7iVSCkyaruSrAQLF10KDLNJI3WJEpiewUOXdJFLa6iYqiFis6+PrL5Ap09fVRrdSw/g2uZaSmFhetnyBa66eruoFapIISPiDQ5xyfnCHQhb6QTlYA2FloNxLHGAkSiQc9mmre26WnLqIYsz0G6NrFuFEKz0vyUAtt2qScxdsanVimjlDTZ1Z5JCPCEhWML8p0ZugrdSClQsQal8WSGJfMP5YlyRC7TSS2IcQsOGolre/R0zcOSO92DHMdjwbxFjAwPc8ghh1IsFZk/bz5RHCHTEGIhBDk/S9b1TRJdKenqNukZVSKQWkICSqQD12qH9vJdIxWmamTwT0wOzaYKJl3DjYz1+yXNGhgOXQ/rBLUqUprJkCvkGRsdIwzrpuzAtNyy9Rmitdglh1wcx6Z0aMOHUaSJhQXYjiSb9bnl5lv456//MzfccD3dXd2mOqHSSMtizdq1/PDKK9m0YWMavSEIwzqZjN1ss0rDJJMpGad3SXmf7D//yUYFwmKxRBhUyeWzKK0IwzpCWJQrJQqFApbl4KZSQJIkO486U2COiO1rezxlTJI4xpKmtlKSmNyZrmsZacqWFEfKfPWrl6OiChs2bCSfL5Av5EFKytWAn1x1FduHhlj70EMoDbl8jkQJHNdFY+1RckA3RGph8pTu3k9odTGavIYt3ZFOj6BapVKtIFLvDEvaREDGddm8dQujo6PpzFdozJx7RqFBp6YIlehd/moFiY5wHZfe7h62b93O5V/9GoVCgfvuWUVfXz+5bJ4witi8aTP/9s3vsGrVvRSLRTzfx/c9gppDFEdUyuU0e7hETYmHaEjXlmXtWUt7VpuEYF9MK1prI2CmasF6vU6UqGaS6EbN+33F02aUJnmvRW9vF5mMSzUokq07eL6VSpXJtEe82e2krU2qfEeO9Rs28JXLv0KSJPT39yOEIAxDMtksxWKR//Uv/0KtVmPBooUgBbZro0XyjM/fWUGY5eW4DpbrmlyNGmzbRWA2DsdyqAY1tGfq4iidoESMEvGuOsu29283Rtz8h2HIiQZhaYQFuUKWf/rGP0JSo7O7Bz/jmdT9mQyJ0tx1993cvXIlOc+jf14fQgrCsGZiuaWahQmy1c62ziilbbKEe56P63jYQiDQBEGVMAzJZnw6O7vo7u6mr6+HyeIYpl7q/tFXTnd+02l1gsSCrp4OxsdifvDvVxDHMVKarO0JEa5n88T6J/jSVz4PgOMZVUqkQpPUNwqQTiMybPpxa18vZ6alSDdLA5WqqBSWk5apbeTOnUXJiqd/9BbC1AmZGCGK6kjbplKtGmdfz6NSKk8v3opZrNWWi0oJ8gUTw+q6DnESI5HGsqc18+b1USyWcBzblCmII5O78mDKXzgFSRITxrHJ1uK6Jvu3lHiOQymokMvlkVJSqVRwHJvOrg5cz0UlUzNmpxBt1pDNQBshBUpDGNWQ0iZOQjo7C9TqZTw/Qy6XJajVTTiikOTyOfyMT3FyEj/jkc36RLXAtD3VebdcJ342zKiFoRECqkGFJE4IalXK5TKaRto5B8cxx7/G3BoYGKA4OUlnrpAW12q9ea1hegOTqamtSXSCIwTdPV2MjU+Q7yhQyPlEYUi9HuD7PgsXLqBWM9nmfd8jSTTlcgnbts1m3aj9sz8Y/8z6vClzWmEmudmMbNvGsyTa94njuOUUb0+TUQq0Uni+gyZmsjTOYYcfhpCaieIIuWyORJswqD3uVLNhlK17MyVxSCwgl/MIanWSJKEjzaAd1CM8z04LdEXUgsAc85KDM7+ktCRexqJYKlEtl6lWy2itKVUqKG2MBUEYkslkyPk+xWKRMKyCcNCEuywXnUqjbcMMtDFxthCGATk/Ty2ooVTIggV92I6gWglM3WvLKPyl45LL5YhCD9u1COM69TCgu6uTJI4I67W0kNrTb9teIfZ9szRGQcjkfbL5LLZtZnaSVist5DIEtRq2YyOlYVCFQh4hFXEcPeO+CRqBnma1KaVwXAetQkrlIrlcjlzeQQiFFhGWrQijOnFiNlWN0YVbtiAMA0rlSbq7u1BaUQ/rJqvXM84nxcy69XTzF2mph0RKoiigVqtRqVRQGhzHpl6vEycJjpOyv31o89NilI1aJEachaimeHLTVmzHploKsJy9icmtQ6t9D2TXWhtdhA21asRwZhQpBdVKzRQgQxBFaZiWBM/zCMM6ruMQxfFB53pnjtg2wrKoVUzoVzaTRWMs+olWhPWIRNXp7upiZHSU9RvWUy0HbC4HzcW7C2ZFhJnatydtTGEwgePazbRa5VKFKErI5TIoFREEMZYt6OjuYnzYZJPxCzlqtQBLWCRxBAqKXSUqlTJJDLbdWlXBVuZNo91C7vvzpZCEoZlLA9u3Uy6XsKTEsR0qlWrKkCyqQZWJiQnGRsYojk8ytH0YxxbtY5QzPUgIo9/fbQiSJEldsTT1IMTP+UbnHYSgwbbTcROCKE6ap2o/Y0IR41hTKVeJ4oiwnmDZor3rZsa5Jvd4T7MkTdrfJI6NjlLRtGNUarVdjDhSWsYQuw8UaIOOUrBjxzYcV/LO9/x3kjjB9VyjH2uUUZ3mvtlNj9aooLVGOpKMmzXptlBk/RxKJURhhOM65HJ5giAgqAV4vktUD1suZbl/YKR3YUkymRybN21CkxCqhKBex/d8EAm2lFjA9sEBnnfyiVgfeB86ifY0eO+WgaiVdkz7qdiTok29qWvj2DbFcsmUFBBGevR9HyktoyrIuEhlDD75XA5hS8ZHxpBS4Ps+lUqpWWNFtVxDfPo5aD6c+Ri3rzD1vrMMD4+w4jkrCIKd2aSy2Qxaa7Kex6NbNtPd3ckb33wJcT3Ctq02q3mmp42mIRHqXT60HVMJM45jXM8jisypQyJx0hj5MKybssZaUOjoohZUCIIqjuMipInPbxy/28jy99qfp3LAbASlCGFqry9ceCiZTI5avY4lZbPCZxLH+5xZqsW63oAykq+QopnGSwjBuee9mpNPPhkQuJ6bWjuVKVE5jTwu0PvscNogcLOA11PdM8VFQClJR7ZAsVIkUYp8LovSUK2UkZakJ7eASAdMlibwfZ84CbEs1TbXmbZgSn8s2yFn53no0TWMDE1gpTtjHKtmOqlEK5JYsXDhYl597svo6d3TGV5r3RqfFFPumxZ7WpbNESjBkhaOY1MqFckVCk2/OhPRISmVyjiOj+M4hGFMV64LicVoeQi0prOQp1Qt4TgWQuhmRMdT6libbZ5+MewilTS6lZ6SdpaR3fs7dPrbrN/B0PAIQ8NjbN2ylUQlRHGE5/qoRJEk5hje3dPNZR/9EPMX9KfSpJrdfrVLR9K2zEgb2ZSkmu3W2oQQKkUcxbieazLRa9JTgKkfXw8CpCVJIkl3fh5BPEGlViLjZyA1jBpGqXYyyjb0R8+wiYmGH9zUr6f2Xwjjn5mYCrCO63D/qkcJKslOJinN8V2pfc9831pdbyEM/9Aa0kLjjuNQrpSpVErsGNiBFAKldyp1ZzzyiEapylbQqq5JgLbYxs69aTD9PI4jEpXgHZ5ndHKIyVKaxUZqEAenjhINUtjphqEYHx9PR8T47JES3vjwwfj4GMVSkXIw2rY0cI2dek/MTJvm7zUMjw3v7E7qEG8SwlkIIQnDmKg/IpvNMDi4gziKGXQkiIY7U+vzRqk956FRC+xtPrU4XtrCczPs2L6NSppmTAgwPF0QJaau+cjIEIccsojBwQGSpNbWIOK90WZ6qzcIYeTNPb/TOwVuock4eQrZApu3bqIe1oxf4hSYAKj2ORPvLdpvpoqn5h7D6IVOfSltw8xrtSgNtTWFBE0Z630XhtrgR2l8FxOdUAtrxshEKgXqA80oAW2ZGPHdJkOSJCitUDpKDQY1NCDFQcwoAYkEbaWJeSNUU7mdXg1fU2n6GEZ1dFxrm5JdaTWDlLUPjHL3Z6FBgUAitIUUkjhJ0ComDGuEYc1YKFMBX9OQWlpklHpPyVCjm+ncZrirpXdoLVCJTnNkThV1RPq9+SxJEqK4jqqFJDpsq05vb7SZWTKegVFOOahrpXGkS6QCanFgqmFOa/BsI6MkZZTTGYL3xigxqeUajuUyEYRRSJKoJvOdDdqXPSg9sjQoL9Jz9UwTQYvZxCLPppOpc+1u95r3m2+ENIxFaw1y/8VItwqz7FK3h2k1grt/oo2Tr2xvj6Z/2l7eMCMz0KlPm0YojRA6ZYQqlXTSLVem/xINv8NWeyOmbbPeqzNva+8wRgS1DwKAaX9TyG5zaM50/ZTT2rx3b9PuEM2/SiRGzZZatXXjZLnPz5o99uxP6vIzAwTpmIqUcYrZzJc90SZG2XA/MPGuzeD/KTvq7tCItk+S6TH9O8y7zcTWaLRUxmVGtJvU7USD6I3Jsrvkstt4C7MgVRv7NKvnTDsFpmxI6fEOoRFapfrBtH+iQZPZT/oZ72i7hVZPuaZ8Lqa+bOf3jQXd1ia08Plen6Ub6zf9K8SU3k3vbtTW8WQ2dNtVOjaba3sa9azKRzk7zDx9NDvrz6iD1Ml8TyjMMffgZef7gp0SYvNwupcL9mBAByVamUMHe1+eDS3cFdMrEdqDZ1U+yvajcYR9Nk2J1tr77OiZ3u3vdN/N9P0cYG5kZkKrzh0zoY0SpUhNJmIKZ5+5iUZ831My2sVjY6fZzVjVxDQZcBo/nNFoNPPRu3HE0w1dmNjLsWKvaLTRpHBqOL023BXM3/RgnKomZke86aSsvf+20Z/2LqTdapiLmVUsjd9PB71TnNxJ16aecoqOMv1cNyy0Lbpu7U5PYxk1vpUNn7uGBVSnv255DojGFNTTzDnRdM8xhvapK6TF9+id7ZQyTRmG6Y9JFpJOtMacEzs9C1p7zU59zdTj9lTq7InW5TnT1IY6SexcyoIpKhixG01mfo9uPtQMlUl7OZNAtO8yaJsYpUwfNZXxTVVqT21MqstEotA0XIElCqEVVkofx3YIo9i4vVgWlpRI26VcqaZuHabjUgjiJMG2LKY/+sy0SBtuKRKJxGp47DPTJJgZSRrJkXMyVEpl8n4ebJvJYgmZ8RBSYLsO9SAg47lEQYDveYRJ2NJ7BBLjr2ilrXzqA4GFQCFJUDuHR+79TjXlHzuXh4FruzieT6kcYLIBuViWTRiW9tLuGT7XEtlk4hKFQElAWg3qYuz8AlRqANFyr8r8mXpk2TZJYiJUokTj+zmEBksIKpUitmPmQBQGSMsiafGsZWjjABKaVlltknikCzaOY2zLlNSV0oFYIa3W+qKVg23bBLUi+UKOWq1KEis6e3oIqlGqT5QIW1GulunozFIaL2PbzpSnyKecOWZ1mp41ZppEIlV6NR8wdc3N0Je9aCQ8C7QwtAkjsCwHLTSuZ1MLJ1EqxpImYEFFZq1LZ+bnTUWj3ZoEkwdRNS9NI0Kn0ea9j0j7jt7aJEoVOt1zGhbAqdcuEOnr04SaWiOVxrMtiGN0HFMuTuC5LgvmzSOJFRMTRarVKkkSY1s2KlFEUYTnmiQXQoPUOr0UUquGjWDaS6YhTxKQWiB1WuJVt3ApgWOnjtBhhEg0loLJ4TG6cp3YtktXVy+lSkBQq6MRTI5P4iBbe0/TyjTlvp2Dv9tlxneqtCJ0I4Up+9DHhkAyRY7Q2mTE0ZqgVCbrZ+nId1OrxkxOVsj4fnrO2fdL6nTxpdtlg2GSJsFtSPgNm4ds5DBtcdx0EuE7DiTGEX/BgiUElYhaEDM5USaf6yQoByRhjApDbNH6O8xl8k+K1MHdSDPKXML4OUrLBi2QDRmlxXdIXHKZPBbmdGVLk8JtdGAQG5uezl5s6VELQoJqQKwiRCp57jwE6Kf8n/mxEXZ2WTfp/Nn1M2362OQBu14zQQqBSBKk1vh2hkK2k/n9iykWA0rFKtJKGbJW6fo225HQetrLMHOzjqf+3cmPdvIlkRo692Jv3rWtT/2TZwq7i8Jm263XY3w/w+NPbOBjH/8s1113A30d87nmmj/xqc98ijVr1lCvhyZ5reM0IwNm1YKm/mJ695F9gqDp6IoQOJ7LjTfexGc+8xmGR4ZZvmg5a9as4WMf/xi33nYbtmXjui5RdPD6au7BdNN/eq7H6gcf5jOf+Z9EQcLq+9fwkQ9+mO9+53t0dHQcwPY+BRR4ts0dt9zJ737zew7pW8TA9u188pOf4KqfXUVHZyeWYyMdi0TsmdOydeg9/rNxzH/6MPlHpRQEQUAmkyUIAr761cv5xje+yaJ5i7l/1QN88AOXcdONtzI0OIrrHJzVQbO5LGvWruFDH/oYN9x4PUccsoyJ8XE+cdnH+NnPf0ZnRxeenwFMBVb1lEECzxwOOqu3Uib07pG167nnltV0FXpYuPgQfvKDn/Pomsd58xvfzLz58yhOTJLJ+LiuS61We8asXU8Nk7jYsgW5Qg6p4N77VnPjDffx1sc38OIXns0V3/4u9/5xJUcdeQRdXZ1YiSIMgtbzyR5guI5Lb28/f/rdLSw/8j8YHh7hnlvv4UUveemscvztL9jSplAoMDw4wuoHH0bHCWvXrOXma240WWaSmO6ebpI4JIpsEq04WImjtaJUKmHbRm3g+x6jY+P89r9u5vClG7nh1pv49c9/w8ob7uWsV5xFZ2c3tmMTRVHLespnGoVcnko55MZrV3L6aWfguxmu/dOfWXXnfeR78nR2FqjXTZTT1Ei/A+HnfOAYZUOO38U4I3Ech+3bBjn+hJN50Rkv4Obr7mDl7auYnCzyvr97J69/7etRtYTt27bhODZ2Gkt+wKogak02kyGMQ0qTJZYtXcriJUsA6OzsYiQY5C//53oOW3YY73jHO4jjxDD2/ZSwdfZo0Aca55MwSjjyyCO5+JLzuOJbV4CGi9/4Jj7z0U8wUtp8YJu7F0iV0Fvop6dzIYsWjlKjxg+/+0MKnR1c9tHLiFRCpBXFchHLEvspR+Ts4Hq2SVmXz6LjiDiKWbFiBa+75Bx+88trecOFb6ZcrnDua8/jQ+/6CMPBDsKgetAxSQDLtujvNyV0+7rmM1oc4TtXXEEun+dd73oH9XpIvV7fmQlMizT57v5v60HlHiSAei2kXCpz+OKjed0bLkY4MDlR5ILXX8Tln/s6wpKs37aefC6PbdtpNuYD2A1h8g5qbXQglm3T32eOoYVMB7/81S+I45iXX/QKzjzhTKpBhSgMZ7bSH8QIw5D58+bzhje8nnqtzgtOP41//qd/ZLRUoZzGNx+MsCyLei3AEg7ZbJabbr6Z7du2ctKpJ3PBK84nqAYkcUyxWCJJ1IGdT08BpXQzi9LE5ATDI8McuuBYPvmpj5PohPGxcZ5z3HFcfvnXmN+3gOGhEeph+Mw5GD4NxElCJmvUAgkJt995G1s3buHok47mwvMvolwuN1VUhiazMbW2Bwf46L2b8UGDbbksPnQJ1aDKPXffT6w0biHDu9/zPryczX2rVpMkMfP65xHHUVqnYzd3lf0IgaBWC5CWIJvLpsknNJYlufaGa7np7lspdBW44MIL2DC2gbAeNl2Enm3wPR/H6mDVqvsBOO+813DI4iU8+NhjLTha7H9YSjAxNoHredx7z708uGY1tXqd11x0ATtKg5SDKp5nke/sQIuEMEmwDtKjd5JECKmpVEooEvL5TpQqcc/Ke0BB38J5vOEtb2HZoctY9+TjZHMdSB0aq+9BRqA4ipnf14+fdXhw9YM8sXkjcRxz2Uc+SlCrUg0Ck/LwIIgFOai2Tq01mWyWOIm5+bbrufq3v0fVY8JSwO233k4trtHf38/ChYsoVypMTk7iOM4BlQA0Gt/3AW12wDDm6GNWMK+/i6t++jPuu/l+TnzhCbzmRedRKpaxLIs4jg5qiVIIYQq3pRX1kiTBdV0WLFzA1X/4FT/4wb8DMDoywlC5glItewPuV0RxiNYJvm+z+sHV3HPrvZzyolN401veRKVSwfczhFG4M3P6QdyZODHlJephnb7ePlYsW8Fd993F1/7xGwBMjo6z8s47magWKZZKKJWWLj7AkKlAMzVxbj0MyRYynHLKCq655g/88IorWTh/Aa8972IGBwdJ4rQwHo38ku0yiM2i/QfkrXvBooWL2LhhI1/83JcROFzy1jey5NAl/PmPf2K8NI5lW0RRhNaKXDaLJWUzP+EzjUb2kV2u1OFXKUWSJFQqdbKZPoSAbVuG8AsZPvCBv2W0Pka5WiYMI1zPPaiPdzLNF+k4LlZaRa+rq4tNmzbx///956gHmqXLD+PnV13F44+tI5P1m4tguutAw3M9LMui0OFQmqhSKVf50Ic/hOd4FItFU+tJmNK6jrNn9uyDBVprJibGyeWy2JZFb2cv2wa28MUvfpUnN4xy9vkv54STjuPPf/oT2zY9yby+eYyMjGBZJk+pcYfb/9rKOIqNX3Q9xLYah1iT5szP+GSzOUYGJ4gixd9/4X9QistNhqrUTkt3u1IFzgYHz2pNE4nuGNjO5z7/eVbetYoXnnYK3/znf+Woo45i1cqVDA0MUiqVCMMQKUxpzKeTOqktEIJ6rYZtWbiei5/x6OrK0dvXC8C5rzuXFc9dQTmupOnnjefm/mLus0Ecx3R0dCGEpFyu0Nvby+TkJF/68pdYt2YDr3r1y3jjJW9g84aNXP3b3zJ/Qd9BzfjrUYRtu1iWjxDwnOcdx9+ccipjY6PNjW4nDlIuiZGmuru6GB8bw/c8SsEkX7z8C/zpd7cyf1EXV/zb9zn6qKOplkr85dbr8X2XRYsXEMXRAW+37/tUq1VjlBGScqmEEALPzphSxcCJzz+JU045hVK5bAyeB9GOdYB1lFMHwojWk8UJli8/Au+iAhdddAH93X28+MwXk8mbI7lAYFu2WZjS7DJKKawDtlBNdb0oCZHSIpv1yOZsLMsGAW/7/95Kb18fA6PDppSDOBjtj7vDtDBOcysqpQjDGr7vceHrX8Xb3vYmspl+Vq99iPmLeti6fdOB3ayeArbnUOjsII6Nv+s73/UOFixYwLr1j6YO7DvNBAc7bTzPo1wumfpP1Sq5bI7zL345r3jlGcyf189555/LRLFIR0eewdHt2DYE9eTAqqe0xnFs8vlcM5y30NFBodCFqzMUi5MAnHveOSxetJhtQ9tNJFV88MypA8cod48sERDHEblclkvf/14T4oXNaHGQ8y58NRe+7nxiEYLQabU3lTqMH/jBbDCJhf0LuOWWG7n5L3fyxBObeeGLTmbFc1ZQrVQolUppdIZxb5BSNIPEDjZY0qZaqyJdj3w+TxBU6ezs4O///tMoneDaGVy/g89f/lmyuTzjoxM4zsHZFyklfX29rFx1N3++9hqWHLaYM854CSPjwySmvOCUiJMpoecHsM17Q6IU2VwOrQJc1+Xtb38HQbXGIUsOZ8uODZz96ldwxNFH4uccoiREiAjrAHP/MAoZHhkhk/EJagFCCI444nDuX3U/a1Y9xL0r13LcCcfyyrNfjp/xmRifoNCZO6j0+AeRw7mpHxLHdSzLwpJQDcpsHdyEZaclGtLZmyRqZ9p7Ydw/DpwV2Rg+MrksQS3gXe/6CCM7JlHEfPBD7yfj+2zdvg0pBLbtoFRi7KkHsfjyf6l77wDJqjrv+3PCvbdCh+mJMITBAQGJopjQVXb1WXV1XXlM6BrQxfi8uyqyphUDJnBFXfOjq76urq67z6uCWVH3BcWAgICEAWFAhskzPd1d6YZzzvvHObequqeq6ZpphfeHZfdUV92Tf+cXvz8dRSQ2QUiJMT5nOOu0WblyCmthrjEN7Sa1ag1jO8joAeCWHEJKKTbdfjtvfevbuOZXt/O8FzyHdYeuY9/MbBc/ov9VbjPzAF2bdrtDtZJgraXRnGPFxDhaRWzddi9K1sm259TrFYzI6HTmELFFi/v3mK9Zs4Y9e/ZQrVQp8hZJEtNut7nwXRdy/a82MTvT5DX/8BTWrl1Hp5OSJElX8nyg0P04gwvvbh8qZGxBUeRkWY7UilZzDuMsY2MTOOcdJuVXfLz6wQabD0IVWToJvE0viWNa7RZSZmw4ciVPfdrTePKTnsKu2VkK4+snS+dwRY4oix89QLNZ8iwn0gk2wP2P1ccwRcbu3buIIh2QajJmZto4qbzd1d3/ntVBJAQIJUnzlPUbV/P8F59Nnuc0ms1urv8gifKBdEj7KUkSjCm8RmJtiPxIiEJFxdnZaaSOUQlI7XBkKBlxf8Kt+uwnQ7vdJooiVqyY8l7vtMPECsszznoGzz7reRS5YdfuXSFO1D2gIhAOjFH+0exsAmcLb/MrDA6BVA5nQSnIcn/di+ChJHidnXMHzXMONBbT4YPMO2lKTSRc8sEPMFGd4NiHnECjPUejMedlZeewpkBYi1K+dvhy7AJfW8T/1j+WgyFjLVKBtQatJHGsybBoLTHGB8sL6TAmCyaSEtFoeWg5dYM8Lzhywwbe+JY3UhjFsScch7HOl9HVUVe7GwEf4b5pyPwvhx23Vq3SajXROsIYS5a2gmNT4ZwhijVZkWOyAqTFOoNQ4n5llI1Gg/HxcdJOio40zWaTOIl585vfhHY5xx1/MmNjq5hrZnTaHTppm/GJOplZnp3goy8OLpphJEZZeghF+N2H6hSAxbkChwkYeTbY4hZuv15Pve+3dLuX/3IgI5zQHk4JRxxXsA46nRQpVTfkkJLcbwAAIABJREFUpITnsog+qbI/ct/t12Y/CaGwNsNZjXUilFXtoRmNQnFUIc8tjaLNQx/xSFzmU+Kas/tweDQjCgPW21eF8yVmR967XcQiCdahhEa5EqUm2D2twRZ4RCPnfEB+d0zz53/oeMJ3C0cIeSooCq8SKV0lTTOEglp1AiElnbRzgLnernvpdldLilD0S4RPeLGi/yIbWFFwWAsOpvc1OOWUhzPXaLNv716qtXGSWOFCcgCCAOkGFs2gYnT3SVYQCY3NrQeGKyMcupEO3l5qc4u0CpubMM7RmEGr1cSYgijSKJWQVBQCSVEYrLXoKPZjkxqEI8sd1jiGBbgsNkoppQfuwZAXRchmDSg8+z1h+JMiHTMxMck+M421jla7TbHL8LCHn07RbiOkYsu2exkbn0Rpg8o9CKMskbL2e/Z9Oab6RFHn946Pk1UYaxAEYWCEoJ8DkCh9J5xzaKVoZx2kAqUcDoNSCcYarMVjRA7cB4F5zPubDKBOkjR3CBV7W1GIovGV+sLwXa/eigyoQz2gm/mTOuwW90Gs3rmCkGR5QSVJ/B6wYvC6D9nTxgicUDgJu2dn58FRlQiSItyOwgmM8977UUUnj98YYx3gDAIfHiWcBVcgg4faFA4tFSYvkNbb2+bBXd0Hh7aFn3RVVimUEMUa68AZgQpoTV4zd2iRHKAY6Bb8Vq6qQkmNFJ5RK6VACIwtAD24euIi0lpmHGna8s40k5Ole/pCtXrtu+7V7RhVBBMWqrqGtJJKVMEJfIqt8air1lriKMEZRxwlSOuQSmFHLPEqyucWhL7Gfjml9lB/ZayhBRBE1BcvjjisQqZ1KCGx1lBC9fpjZsAVzNMg7gNIWQjBvukZhFAoFdBULezatYdSuFGRpNWeDaFEkqLoIBaYc1xoa+glJrwAF4C8upUxcZCmvsSuBzyW5GmGjOJF+91Py1Cu1qcYSSGRKExusIX1Eo6QA+LUDqKtEZGtFydHomOEcighiFWMFL62tMGMhA0r6Z1TgUdj77d70f+zz0YtA6NbCpVZj4UJYMYIijynsL7srrAe8VpKiZSCLM9JsxTrPMrMci3Dsq2BAOekf57wTNk5wuVlcE6jVIQSWQndS1Y4tBQIOZokJoWcf/F1zePDnjGaEu5R0h2FKQJDjIK0InwtJmuRSgWp35uMjLMIJQ7owlxOGrSeJeq7E960FemYSpIER6TGBOzJkdoZME7Rfzrc4M8M7vOwNgKFMybDugipEFIDfjzzNd2lTf7BO3ME5FlBnuZooUCAxHuhJTIc7INuJdAyMl0hMNaxbcc95HmOFJKskxHHcShwOEJbg6oDlgJzn+Op9BuF0tvzKlbeF7nytrQ+Jg3CrR/Q30s4fSk9UzCmQCmFVhpjc8+BloWWjePirMXYMsbPm2wUip27t3s11Rq/h3JDHGtiFQXTw4gOuGEna1GpcbSbUjhHmqZerTQGgw2Xlje36EiT5Rlpp4Pt3gjO9+1+jUUa0HjQQCKlcYVXUeeac9xx5+0UReEvtWUUgEaj4WvvgnnGWQtCImSvornot+UL0SvbsUQ6aEbpnENJyXh1gsMOOQykIM9ynx8cVRgt+affNrS/HaS0Vy3L84TAGsPWbX+gVquzdvVhZGmLJKl1M36W+iwXSt6WN9S8NSgZ5YDLyw0p5D58NB4tW+uEVrvFHb/fHGzEsivVCOECT/TZEGtXHYJUYoT0r+Veg2FkcS5FoEBohNA4Z5FC84d77qadNXnQURtDiFILHWmk8GEx3RorS+7zsLEvNo4Rxih8yY04qvKHLdvopB2MMd1Da4OEZq3HBVi3di2VSoJxLqjeyzGfw+ZgkU4zeD29Pbgg0jF5kSNFxOzcHnbs2M769UdSr439CaqWluNZuJ7uPtYzmE2Cg0sg6LTuxJhdWOf3jkaCkIyylQ9eonTeflhNKqxccYi3K9mMwuRoFYEb0WC9mPh5IF7DIc/znkLBLTfdyFh9gnWrDqPdmSaKkgELtPizHCWjDB9j+Pz3CzdupEvE10GXUiKpUKnOEUUReZGHbnnwilIrFUJQrdaYmppCByfP0pta5jXYvwHAYl0GwYpbMspIJ9x15x10WimrV65CKk27vQ8ERDpBDrtcFumzG2IHXNxhs3Tm5fC1XgQR42NjFEUebMWBWeJzlo2xaK1ZtWoVcVz3zkSXj9TWonQgqtvA9RQUJkNKzx4iHZF1Gkzvmea4Y05m5copH/3wx6aB43EMN7qK7nyXcqRWFf5wzzacs1hje87gAAC8VKfdMtgoIUszTDvDZBkmOBS8dmG98Xek5w1iM6UDafRbTAzzLCqFlAnNuQ4UgHPYAoT2UFbD+7Y/OWG8kTj02/YvwDxPba9uiRAC45bOKAWCwhUUzpJElizNyPOcSGucgywzeIO7DBlARche8iqtKZZeemLonPWtQTm+g8mMcjic9czde1gtTguclUgXHCvO4oxXlYxLcTJiEGMZ3OfQRzcs13mxQ1JWW1na+ExuiCLD3NwszWbTX1pKoqQ/mHGkMaag1WrRbDZ7aDjLak4q52DptrdBNnKBwBqL0t7uqlWFLHUUaeFBja0Zup9GmbPFSAStb3+J0uJYpO2A/VAKD6jECxdKBsxYiRRDePAidPCqNz77oRJXUTqiyFKc82lwAm+/HCWuT8hhiDMOa8IhXfD3xRwiwxCmTJFTqVURUqG1xuRtWo0GSRRh8sEMeVjfXLBR9qckLuzT/gfCMSouhsWhEokKi552UtqdTkBk8RbsKIowtiDPcjqdNnnaQSiFKZZ+yXQxUvcj172VWTDWxdZ44GEU+GKFtu8NJ7BZTqw1VKrknQwpffSE1pq8SDG5DQxhfrtCDhqf6z7aV0sT/W8v4nEWwZM7fD0Xjk/HGiFjoigmjmK0jigKgzGF1wajCKUkcZIQxzFxpMjTouelXiItNs+9OVg6kxxmaxRSopQmz/Ku8BKpmEhJiiwPIUfzn7VwX5Tv31e/++e2H4Zt/5AzFy5/O/h5ooyrtt7h5xxWdRBY71gOJuEDEeCXJTNHCgnW4oxBSYWwXsyVUhLpJdaW7KMsz4IzxKua1VqNxlzDexOl7Ls1ykMCI48+fEc4sIX1MFzjE+BEHxTUfHL7hTR50ipCSrj33q2sP3Q9eZHjcP45QrB3zx5WTE15u21Sw9mcPMuGtjOMnHDkrqCwBbVaDR3pkKnhY/KMs2RZRq1eCeFbmkqtBnmBHsEcOmycQghElDA7vZuJiQk67TZJJQmpmcMP/OAYy3CAtMQa5yMlhESpCFs4itwQKY1UvgSFLfzeynL/M04iirwAHFIqDxAxMUGn2SSuJCAkjZkZkkoF5wqq9QnS9hxCSuI4ButotJrU6iso0gaFMSRJwtzcHPWxMaIoYd/0NNVaDWctSX0Mm6XD58z2Dm+e5yTaY0Y6C1qr7vyUcHwlkvrAUKdFaBjDLoqCTitjauUqdu/cxsTkCvI8p1qfIO80u3B58xeGRfMEsk6GkhrXnxwhFErp/RmsAJVUuPvOOzlq49GkzTmkUsRVXxwsbbWIoohOp0MURSitKPLce6OVxOXekZqmKUltHGxGq9VCSkEcJ0idsHvHNtYeeqg/P2na5Q9CQJEbnCjPHMHn45AqQWr/XKUUUkrSNO9idFo7hOkuoAcWNpZzqDimWq16BlmtkSQVpnfvIe5iI/ZJCQdBA5S3kTdtSUVeUOQFa1atxttFtI9jNIZWs83aQ9djnKLRaOBMRqfdJooPsDJeeUkEY6RXNwYOCPAhEstFzjk6zVnGxsZwzlGfmEBHsQciPiASlCWL92+sL3Sk/M0FFR18+QbjHSHWBqYT5saE5IFKpUJcrRJFEdN7drJj5x46qaERSj5Ukgp52kDHCXGSILVixYopTF6QZTm1sXEfoqQj8k5r6fO0iET3x4IO01ozMT6GyVMmJyeJEo8R2m7OEsVLjxdcSIL9z9piscmrV60iazchYJrO7dtH1i7Xyqdgau0ZrTEWh0UL7+QyxoAQTO/Zycy+GSrVKrX6ONN7p3HOMTZWpzm7j8bcDHnuzQDGmBAVEROpuNuPnu0xaB8HPAOelkWidKUnSvQB2goXVNIRSECWtum0U5IkBgFpmjI2MY5QUbAdut7lFobvwncPhKzzfXfOdvs8bKMPe18JHyOnosibBwSAJI4itm3fSbVeQwrHytVrfW91QbPdoZqMxiznz+dScTi9vjHKWgwdv3N0soz6xCS28CVTizxHaeVDXobREDVehDrLpenC31PORxEI402UzoT3oKxJpKSm3c7RkUZIQZZmVKoVbMA99I6UDOsszdkZKtWEyanV1Mc8xqFUNYo881lAWpOmKZGOcUZQWENSqZJmlk6nDbZg5Zq12KIgz7PhduoDOYlidBvvsM/7+F9BkXnJqUg7VOp1tm25h9p4HWdHK48sIJyH0E8XXJZi+Nlut+eIY40VkFTq6FgjpcIFe63DIZXEGot1Fq0VKEWaZQglyTsp45Mr0FqhIk272cImgokVk9i8Q5Qk6CjCWeNjI4G0MUcc+SQMY3y8atkz6yds6EyOwjSWTaJcrjjkKEmIYk2cxLSaDRpzc8TV8XDbePuD55WlRfbAzOH7f+fA7xxjDFLHyKSCro6jK+PouIqxlvWHH45zgjiuoFSFLC+I4wqVoJL8/4mEEExMjpGlLaLKOEJphJAhb310WhgRt5AJuIGf8QXsozgKYU8FOorQcYK1OUIpCms8olOtSn2sTlSJMaagUpsiqY6TZxlSSdI0Q+mYLM+JqxPoZIx2uw2qgo5jVq5ay8o16wFNnhcU5oFbi906g7UZ9YkpKvUJCJ5dHWmKfHQPdX9021JPhlISFUU4YPeu7QgUSscoLYmSCkWRUxQFWZGBBB1HOGOoVseo1SYZH5+g0274dEOhGJtcRRxpsjQlNzlxpQJYVFRBqgShEnQUgxQIqZCDzAvLRMuDHiRC+rHw0pSTPalyVMqyDjrWtNIW1bEacbXGtdddjZSSk08+iTRrI3DdMBjwTo5RU427PRPO91e6A5QoHUJrRJTw22uvYd8+X8TqpJNPpl6rInBEOuHmW26k08k46aSTSPMUcMQjAgUeKCsfVbpfTMqRSiFFxD333MVNN1/PGWeciXU5Fb3InTtEonTCS5X9zjDdJ7FY4TO8rAjpc9IDpMw1G1SqFXKTYx3UqmPcufn3bN16N6ee+giSpELamUNhMLagIuooLfnpTy+nVq/ziNMfRaczh45inJNMrVzHLbfcTLM5x7HHHo1Smu3bt7Lptk0IHOsOOYQTHnIKynQoinRISMnoq7PYXhv6nSGfl0oS6Qq3brqJRqPBKaecRpa3WblmZdeGPVo7PYnS4RBShHXyoXCD9pOQgsIWWOeI4hjj4Korf8rhh63nqKOOpXBFCFWzSCUQShKrOnduvp1du3Zy8kmnEcdV4rjK7j07+PWvf82JJ57EhiMfxNzcbkDR6jS54fpr6XTaHLlhA8cc/WDStEU7TYmTOATxl/MbhKllCCxYRhtlqbraA34hodlponWMdRalKlx/ww288pXn8tKXvoTZ2SZaKYSwXm2TDidtUN9GbEv4zPLyQPZUiqU/wwqLUBFJpc7l3/8eL3nJS3jmM5/J8573XN7/3vcw12gR6YRbN93My/7u73jb29/Gzp27UFp7O80B9XlU5nrw69L/yvMMgeTz//dnecUrX8PmzXdRSWoHtt4BYKH/3/P+jgufCe85SxQpsjzz4ULWEEUJxua84+0X8LKXvYLrb/gNWmmiOPJ7EgtO8+3vfIezz34eZ5/9PK659tdUq3WiKMY5Q6vV4qKL38c557yE7dt30Go1ef9F7+G5z30uz3r2sznnnHP44Q8vQ6sKUokh8znaaSlDp5dlXbBoXWXr1u2c/4+v45xzXsLmzXeSF968YJ05oLXprVE/c3RDz5vFAoY4FqxcuYZf/foqXv7yl3P1b37TrUigI4XWpfTnmJ7eywUXvJWXvOQcbr31ZuK4yuzcXt74xtfzrGc9i1e/+lx27NxCtTZOURT8+1f+nRe96G95wQuez0tfeg533vl7oqiCEBJrvdXeOeF/htdy0DIxymBj6vv9QF7OWSpJTJp1GKuPI4TiJz/9Mb+5+gZuuP4m8jxHKbnAILRQSRjlBWC7HrJRvy+wKKmxheHC97yHm266ifPf8AaOO+4h/MvHPs5NN91EoznHq1/zan71i6u5+eZb2bZ9G5WoQm7NQfT5vpdjfvaKPah16W+7Uhln2/Z7ufyHl3PP3VtpNhpUkrFlev7+inb/z5I5VioJWmmEUES6wn//9+Vcetm3uP22O9m9exdSaqJIY62hkoyxd+8uzjvvDWw4aiNHbdjIea9/PTMzDeK4RhzX+OUvr+Kb37yUm27axPT0NK12i7vvvovTTz+Ns89+NtddeyPnn/9WwIe9+djghX0+kEyVg50j/7tUEik0N/zuOr7/3Z9w0+82Mb1nL7XaCgS+dPLBPN//6sD5eOGh3wkefSEUIPjBD77HbZs2s2/fNCBI4sQ/R4AgQsoKV1/zS775je9w+22b2TezD4Dvf//b/PjHV/D0pz+FH/3wJ1x62TfQKmHLvffyngvfy7HHHs9LznkpV/38l3z6058KReFij/G6gET3/w6OlolR9if3l9ZfDyc27EUftxeAdA7pCmrVOnnaQskqm++6g3/74peRWjGxcgUCX03OOO+EEUKWsUHddhdrc96r/HzwdotSRF/q98uXAGEd27Zt5+lPfSpve/vbeelLz6Hd7jA31yDNM6797fWsW38IeZ6ThbxyMUpf+15ywBh6cxnG1Jf0L0II1Cht+JxZ/xyBQziHwiFsgZIRW7bcy9VX/xapBUml0rcDhvw3tC05bz90gXQp93aIpyvh5ZzE5DlaCqRMiCPvDPvyl75KvV6jVquSZwZnDWnawRYGKSJuvuVWtt67jX9661t4/J+dwc9+9kum9/lDOddo8KUvf5na2Dhj42PsmW0yMTHBO9/xNj7zmc/wzx/4CI981MO4+w9bQo80PU99uecYCUTFP4cD2gNKAtZiTe6t88YQ6xozMzN8+JJLvJMkBqRACk3uMTlG32t9//X2VS9zetB/kZREkSLS3vt8x52bAbBB3BZCURiDcNaHdDU7fOiiD9LpeBuqVj6U8N++9BU2PuhYPvWpz/L4xz+B//zqf5JlHe656/ds2bKVZz7rLN71zgs56qij+Pev/AeFzYnjinf09AkFJerRUuWLxWjZVO/eppdLejkUtpuO5ohcQWQLXLvB+MQaTFHwpS98Hq2rvOJ/nYd1dX9bUcEJQWFBSAVW+LS2Jbbb//JNSy8M2NG/L5zHyxORJtIRaTuFENgKXgKampji3778JV7xqldijSGKyrjSpc9V+ZJOElmBDi8/j74Ptp9hzmNEBzIvmty6cJAdssiIsCQhy2rf9rtZuXIlzkiyzIcGKTTSqYGvwe0ohNX+p1OeGdqwuZ1nzr2LQSGcBhehAWUNaXsOrStcceUVfOObl/EPr38DU1MrabWyoNcqnLFYa7jmupvYsGEDT3rSX3LIunUANPZuB+Daa6/lq1/7Gq967es4YsNRbJ9LiaOEhz/8MRx5xDHU6xNMTE4QdQNRJdZpXOiz76MbmVH6M3MAa2QtUlikKYiEIIlihIi46fpruG3Tnbz+vNcxObmKPPOOp7aRIPQB7TXhFBLVxdf0sGeD11g6hWk3SaRAiJif/OTHFFYwNTVFIWIcjk5aoESECnN1y/VXcdfme/n7l/1fRMSU8f8/+sFPiKOI1avWseGojVxx5S+Z2TfDz3/6E448eiOnP/rRVCoVnvS0J9PudGiknSCbeZuqwCKcQWLwed+jr81CegDFUXrpoTk3gxSaHTt28N6LPshfP+2pnHzyScwFsRwEMmRqWGs9wO/9VeDdEZBKBK962cv41TXX8IoXv4QLLngbT/jzJ3DSSSchpeQZT/1rjjrqKIyx3dstz/4EubIHSFJ6IOMy5KcoCh9QXVnLH+66k498+MOcddYzfZqq+dNCZ0shiJIK2+69B5zjq1/5Mo969KN41SteSRRFxEniwRCE92o752g0G9RqNer1MQ4/7HDG6zUvdXZafOSS9/NXT/krnv+CF2CtJUkSwOGsvwB27drC7Zvu4KiNRwL+Tv3jREIujZqNOZKk4jEVDchogqLo8KpXvYJTTj2Ns575P2k2mt3P79y9Gy3/NBVfhBA4A3nW5otf+CwPO+10jjv+eLSOEAiSuIJCIHUNkLzy3L/jIceewP94+l9SkJOHqIIsy6lNTfhnInzEQVGwc8dOjj/+eE474WQAnnDmmVQqCVmWUpjgTf8j0f1Yw9KrK+Wt7JHKYXxiBQ7BFf/9I1atXsMLXvgi5mZncKYd4LgsprB9ubQPjBrZjz3jsXTSlO99//vcs+VeTj7pZNauXQv0lDRrbRd1pSdZPvBIK+2zJ6Tq5smKuAJC8osrfoQeP4Qn/eVTiatVn/nzJyRjHUJXeNDGY7jm2mv4j//4Gmc/52ymJlfgnOPII44AIImrrJhciVKaarXSLddaq9V86dSV69my5V6+/d0f87jHPZaVk1Nkec4h69YCAiG9SeETn/gkd9yxmUsuucQHs48Yj7jclFRrAZfUYAqfKfTTy3/Ilm27+Ye/fw2NRpNOu9PNxFm5cupPFtYURREimeKG66/n61//Osc/+MHUazXiAJArpaKddpBKc8fNV3Pn1n2c/bzn0Ww3cTjq1ToAQkrqtfqCp/vifM1Gg1YYt3UuXNamm+Yqeh9fVnoASZR45plMkucpL3zRS3nkIx7O0UdvpNNuISvj7N03TV4YYlWh1W5hC0scxyNAiC0zCZ8pkrY7nPvyl7N+/aF89nOf40UvfAEf/9jH+en/+9PuR2fnZkmSOATH2gc0o/QB2BolhU9jixKEium09vHa151HHEfs2b2TrN3g3p17sYA6gFTVkcn5+S7acxQ24qtf+TLjk1M87PTT2Ll7B51Oh+tvuN4HigtBs9XwEq9z3T0yOzdLmqYYk/H5f/0kxz/keJ79nGez6bZbydKU2267nbTw0HVbt97NZZd9l8OOOIRHnP5oOnlnyUDLfyzyKXgdoiihPu4zwT7+sU9QHxvjjMf+Gfv2TaOUYmZmxpc9sHbkVNkDJYvX8n58+Q9YtXY9J5x4PO12m7m5WfZO78U5R5yM00k7XHjhhcRJwvNe/Hz27NkDwOzsbBcsZM+OHQCU1jmHwxgP9FKuZbPR8IAvISXUFH88gel+Y5Q9g33fO0KCEGStPRgHu3fu4B/f9Ga++LnPYNszvPNd/8SNN/2WJE4Yr094x44xZPebGiuQKuaW669nx8w0//uTn+Apf/103vKWt7JhwxHcdtum7iezNKVer1Ov1ciKlOVEjVlOEkCn3QkgAoIsS7HOH7StmzexY7rFTb+7gct/8D0A3vXOt3P19TcjVYVlsZov1jfhg/uNEzQaM1z185+Rpylf+4+v8Pyzz2bHjh28773v5aqrfoaUEeOTa5FKoZSg3W7TbDaZnZ0lNwXGZPzox5ez+a67+Mc3ns+b3vAG9uzaxcc/dAlX33QrrWaD1/7937NlyxY++5nPUqvWfJ2j+5lRekBahUVSFBnguOrX17Frx3Ze9w+v4aP/8hGMMbz3Axdxyx23sWZshcdO+BOQiseYm93D9773XXbs2MH7L76YzXfdxSc++lHee/HFRDoijmOm9+zmOz+8kh07d/L2f3wrX/7ivwHwln96C3+45x4mVk5Sq3uJ0vmsRrRSrF+/nr17p9kZmOhvfn01nRIUJjhj97MVL1Mc5QOqrjf4cq42N7zqVa+i2Zij3Zjj0MMPY/PmzaxYsSJ4xgRZmpLmHeqVGtXqGM7dTyqRs0xMTqKkZNu2bQBkeY41tqs+OGdptZpd9S9SEcUQKLcHAsVRhJICiSJJKkEiUSAlr3nZ85G1Fdx9190AJHFEc2aaxQuzLA8552uOq6iCa87xvLOfzw033sTdd29hxYopkiTh0EPWMzW1ittvv43rrruOpzzlyZzxmMfwj+edx3e+8x127tpDlhmUqvDSc87hV7/+LVESMx3PgXO4rEPkCr7ylS/yjUu/xb/+62d46lOeDuCxP5X8Y98Hi1KeF8RJQp61sSZHj9X5n2c9g/GaZrbRQUeJlzmshdySmpyiyHu1sv+I5GwTKR1PetITOfYhDwUpMKZgrFbl2GMezF133cnlP/ohz/ibszj/9a/njs13smXXVsZWTBArzcqpKZy1PPaMM2jMzgGG7dvv5REPO5mJyUke9ZjHcP4FF/LrX/2KYzZs5GdXXsmqNauZmliBMR5ycPmQ/OfT/cYoBYQboBsIgkMgTEq1VuVTn/pU97NvetvbuOqKK7n4og8yOb6CVjqHxRKpSheI84D3QFCfD2j3O4cxORuPfTBrVq/iFa9+DTfeuonrrruOe7bcy9FHHwN4KWh2dpbpPXuZnZ1BSY3JhyPRLBeVIKYjfQcPXNButajEEXFcwRQpUsERGx/MJz73FQA+97nP8a1vf5d3v+PtnPn4x2KKFn8MN8e8wy28EzNtNahUJ3jt686jVIr2ze7hmKOP46UvfTGnnfYwLr74It7ylrdw44038NBTTuHoY47mwgsvpF4f47nPOYu1a9bw6v/1Ol79v7xud93vbuQvn/hE3v/BD7Jh3VqefeF7sRauuOIqNm26k1q1xgVvv4DUZBShkt9i9McCv0jzHB1FJJUxbGFpN6a55IP/zNjEFAD/8bWvcuUVV/K+972P4447FiF9/rv7E5inDJLa2BrOO/9NVGuTAFx3zbU8++zn8Mpzz+WCt7+VD178fh566qm8+YJ3dL/3rUsv48c/vpwLLriABz3oQZx/3vk89znP4dxzz+XHP/4pn/7UJ6lUqhy58Rg2HHYon/jox/ntb66HQ2iRAAAgAElEQVTjD3fcxevPfz2xjml1mjhnUIvB0IkydM7vqVEujmVRvcva2s6FW1/r+bhyg174krO9mrsKJySFc6R5Tp57z12WpRx6yBpOOOkEsk6Oo8DYnGqlwthYHSEEedEZ3s6QVyndWeOhyYRMfLnaxfo84IUzoBQXvvMdPPEvnsCnP/lx7rr7Tt757gs48cQTKFEq161by6GHHYIJSDtplo7c596l4OuEl4XEyrzeEn3FWg8bF8dxN9Z0pDasD81xJeagc9g89/BaJgUMcRJzwknHs/aQ1b7AfZ73AFEWvAbOW9io/YhuIqScCdEzTHjV2avP5bid8+DKndYMJm+CMxRpxhGHrWP9YYcB0Gy2WLl6NfXaOHEc8+EP/zNSWJzp8M8f+ACTK1aQZ53A4EE4x0NPO43JsTpzc3NUE8XJJx/HN7/5X3zgny/iv77+tV4fh4wxRFIjpaSddvBOIT9WpZTvv7X7jXWUVyWpdNfTAcZk1Os1bEAc18Jx6kNPYmpyEmstrXYTtwi6/bB2jDUheNz3s8dUhvfN5DnCdpACWk0fpbJ6zUoOWbOaZqvBLbfcwpOf8lSOf8gJYR95LVAKx6mnnEx9bAyA0045hVe84lwu+9a3ePFLXsjT//pvAFh/xFG89/0XsXPXLr705S/xN3/zDF758lf6cZcVX/u8OWVYd3keClN0UeYd/YzzvmnZ0IMEdDdCWQa03ERLewbgHDKKqUURuTEYk6K04sUvehGnPew0JsbHaWctSiCGgsJ7zulbyCVeEs5YiOiFFjnT1//B98egsRQmR9Dm6Wc9i0c8+jHs3LWLSrXCkRs2kMQVPC6l4pnPfCZnPObRPOQhJ4RvipFutJJKSbyEEytCveVyuZVSFEURDqT/jOvWmVkaWWu9GoPr4iYaayHPfC33dI4///MzOWrjEWx80EbAYhZ5vhjwN49+7xDW1/qRwoFUWOsCxq6X8su+O1uO23tFTZEhgCJPcdYwNbWKiy+6iNMfdQZzc7PcfPPvOPbYBzM24bOGnvLkp7HhyMNRUnPEhqNJO7NoHZHnGZYOxx3zYC655IOsXL2atVNTfOvb30XKiE7aIc8LkmqExQasVB/IXNZucdYig3NOCInWussEKZ0PfRe01j6aoCgKRlWFRFgLazKEE+goJgsQcDIyPPEvn8zhG45gw4YNJFHMntndrJ5YgR0CXLKYpCSDpmaN30NFkeOcwaEG7idfxbTA2cKnEzrDm9/8Zk45+VSm907z85//nBe/6BzGxifJWvsoTEZtfA1nPPaxfORDl3DM0Ud3O/X2t7+TZzzjaRx99HGsWrkaW3QwWcZzn/88Hnr66TSbczxow0bWrFlDlrVpd9ooJbFOUGZa+r3j95mSKjiKDFJGGDOPq94nLQuj9BvA3/ylFwr8og6FhXLzu1kGTNssxzq/BfPCoJRm5eQKnnDG4+nkzb5yk/MdQkMZ5ZC58KqIj5uLdIQxGSZ43IaDYgx+s9NpI9KMdYeuY92h6wHIXYe5zixaKYoi56gjj+TYjcdjTMrMzG4vlUSjC/TOOmSkkcpL7UopHDbUv5ZopbC5Z5RZlmGcQUoxUtU8j3bmP1/WDi9BEIzNabVarF47xfr1j0MKzUxzmsqQy8VP0YC2PY6XN7gIFyRhnwGklPBQWyHEpSgKD8YhJb7Ebdm3klEVFEWDJ/7Fn6PiMfbN7OOwIw7nr886i5VTK3EuRYiIE044EQg54NaQF54JZHmLWq3OKSf6+Lxma5ajjz4SHY3TYyWWRqcVfI4hPyUkLQhZlh6gKzFGUYQN2pFAYIqiK8EUhcVGAWtgRNOIDfMsQhZZ+bsxhrTZYGpqDY965KOwOGZb013pdyg83JD2yzjl0ssspUQp1dVoBn0vTTMqqoqKYopOSlFkPP7PzgSgyNv8zTOezkMfeipgmZubY2LlFJ1Wg6lVq3ns4x+HVBFpp4ktcuIo4pGPOIM871BkTawpAhB4zIldYcMz4yLPqSQJEsiNCfvJ4YLmit9eHlQcES6aINAtkVcuC6O0xpI74zMAhOlWlvNS5pAvuQVTLcChyHJfqDyKIpxzFEVOoz3rs2/k/AUfyCj3a2dYr0up16vGHilZdCW2UcgjJwvyrA1CYsIBkBKMLZDai/15NoMAkmCaGNksGiTJMjrAq98KaX0VESVVd2P3TAPLkcbVm3PnHNV6jSJPSdsdVKSpJjFusdCMQWvT0+S6qa8Cz5Z8uEevOmGZX+yX3sfS9r7hPyHwGJS5nWNiYoLzzns9KyZX0c4zYplhra+MaEPGkVKKPMsYq4+RFwWNuVniOPFhTs6Bs7Sae7EOpI79XEoZGGTYe30Xdvn/RZ6RpVkvZE0Ivy5h7owxofhYVGbajUQiMG4Rzni4Y9Bao6Sk1diLsRYZKbRSTEyM45zp1nNaytKAx3act4/w8bVSiqH9FkqSdtLu+S3ylDzPvMNzfIwL3/lOkuoYOEO1XqfIfUnlVmPaa15RgVKSJImZndlLHEe+mqW1KKXRGrJOi8K47t4W0s8vzlFYOwBFrFfnqTR/UKZA8ycsLgZ+zsqCYjpOKLJOV91AMrgzNtyKZSYhfuD1+jhIf1issz6oXPmgZ7NAKio3CniwBOHo2oRKCWpwGYLescxDxTypEiLtMOEW3f8Gdt0bfL9nCV9QydjCq+/+FPnbyxjGkgq2KOhkbWrVmsdAbLdGtxA7fDpZ2R3nSDudbt4wgDFegohCmQgpNYJiSE2ZwSRKnie6zVKKTM454jimKAzVRPtQJ0lAXB/UZ2+lXTifLoRyyHK7Cm+PREb+sjEG50BphZQ+08bjfPSQ6GW4bAUOVa2Ac3Q6vmzBqtVrqMQVcufraltriaMIY123bGwUu650UUkSHzAtJJGMEKJAKW+isc520/ik9GmdAocM3EI40TXhSOlr2+d5XuI/BE3Lz0EZxK+jxMcFmnzAXhs2la47z37vu3mmJyF9MbNKXCULtvA40uRpPvAcDKtn41yPEyqlECWjx4GTCCm7Ttj+79THJkjbbYwpiOIY5QJgh4wxRc7aQw4lTzPyvKA2toI9e3YytWKCvMiIoziYIiTVWh2TZ97koxSmMOgoIs9zrDXUqmOYovC+BSRR7Gum+3LHKghddG8TY3oaV7eM8Igmj4N35jiIYx8fBd7BQGAcizFr0X0F8bh8CSgKQ5qmXuUSAq3UsIIBB0wlY9E6Ioo0ONGVKkcjh9QxOq702TYFWkVUoqq/5Tst8jwjjiIEjqzTPiAwVSE8Ine5jeMoQmmJdcFkECQWhCCK4iCZBfCQkdpZONe99bE48qLwtiAR44wlSzujj6VvTCUTLm1isY6JtfaRENanVMp5B32hViHIOx0cAqWkdwQKgRGCOEgbOBfqOns10jqNNZZms4lzjkq1ihDSO9usJcu8ZBTHMZHWJHFCpAYH1QtE1yYcJ3EodyB9iWBXChKmD/6tJ+iPLlKW81Wel95ceEYjgDjYFosgmR+ALVwIlJTduj7l2XADLr2SjPHhW1GSIPDtCxEjZRQuDkFWGBqNfRSFoV6vkRUZUgoPaOGcr+5oPUMs8jzU1REoHRHFURAOUp+JIzVFnpNnBXEUh/pc852H4Avxua4GK+aNcam0DOVq/UHMs4xdO7cCwtvGTOHtHGZw8R7pSq3L/82KYHEKIqKU3k6F8CE4WZohVDxvY/RLlIP+vRgZY1gxtZI8S2k2G2y99y6yPCeK+ivP9cgFL/N+40fQyVOEc0SVBKU1xlnyoiDLcx9gnmUIY31WTu7zpuMoohjxVlNCgHU4fME1h6NSiclzE1QKD2CsQmXJZrPF7l3bEBjyfGlxps45osBcuvgrQnSF6Tj2mUVpFiQHrZBaYRfh+wO3o3MQDmKppsZRhFSSRmOOwuTs3rU95PnmvqphnoNUQZJzSGe8ZCf8nouSBBklzDZaTEytpp3uodXJiMwsSeJR0IVQ5Lmh0+lQiT2OYa1apTk3x9zcHMI5KpUEQ47UEe1OSm4ccZyQFh5NXViv6stgAtBYssIyPjFFu90KUp83jSCEh/9yDq29o23Xrl3MzOxDHIBkk6meNF2aAFSwQSZJQrPZJDc5USWmklSwOLJ2NlhVFoO1Pa+RRJ7xCh9e1GjM0G63mZnezbS1/m8LqJ1lVOKEKPIMzAak+bF6zcPx1aaRyiMINVpt0nabai0hL3JwjjiKkUKxe9euYBf1kqwo05SFR0SSVpIkEQJJq9MkTVMq1SpKSy+ll4MVlvpYgzRt+T3WN9fektLbe/dFy8AoFVmWMrt3mq1btwa4d4/aEkWxvyEGMEq1QHQ3oqyH7dVlrZVXZ4vCSwLGgtT7nbqeU2j/Jfc20v3VCxEO1szsPnbv3km1WmFutkFRFFSqFdI03Z8pBrV+YStSSDp5ijHGSwvBgVXmdTvnSOII6QRFXiABHdSvfNgi9Tnk5kHRCYEJ5QsmJidptVpdVdt/xqtfWmtv3E877Nmzl3Zzdr+yqKWBf7/z4xy6Ww42CCjCswQLxFrRSTtI5Z0o5Xxh1NAbWg5pByCKNWnqL6ZqpQICtu/YhpSKrVu3kqYpnU5KrVYj7XRAyIBJ6hFiSkaZFwVSKuJqnd1797Gq2WZmrultd6ZJpRKTpgVSaXQUMzs7x1ithlb+Ms/SNHj7pVfzhUEoRdrJQEfU6mPMzM350DfnD10JUK+w5IVhckWLmZl96CjpakpKBrUYQWEsrWaTmZkZL+0VxcBMn0H7tvx3rsMlZi1d0LOwtmO1Glme0Ww1qdRrKCFppW0Uagij9FLjwD0QRb4shnNMTE6yZ88eZmZm2bFjB1mW7ccohRCkeREYbI6zlvGxOnOzsxRFztj4OG7vNGmaUh8bBwQzszNUqhFSCjqtdsh+kmSdDK21dw5Vfaz0zOwcUivGxyZwuaOTdqjX6yAczUYDIXpSqTf3ATiiyF8eZd14Hy5HV8sqnVP3RQdvowxt1Ot1NmzYCMJhTUFRmO6B3Y8EYEUIA3HhMYUXMrQMGyWoM0ElllL74mIDTIcwWIwWQnRvDDH/DzhnqVbHufuue1i9aiXrD9uAKdIgog/GiPFN7K+UOqU8lKs1WGOCVCdQWtJut/xNKSWmKDwWZXmTuZ6q3rWrgK+ZLEulMryHlyi18ajqOk743a23Y4wNvh0ZwiHCpk1TJiYmOOLIDWSdFnYBmEN5Uw+y5otg8HaiT+IPH/PIQgVJLLv3X55nQDScUYYSw/PaDxKwjrSXuIUgjmKEVDSaLbI05fDDj0RIQdppe7toXiCFvww8Exe+k0EltA60EKw7ZD1RpDhsrSVJYspa0FmoMR+Fui5l/K8JEp/SntmXjiQhpIc7VT5tMDd5KKvgQ1BkuOwlPl6yVp9g6/adNObmiJQmlb5ssXACrSR5CBY/dP16klhjCjNQohm0b7t7I0QCOOe6djMRvNAy2HldGU9rDIUxAb1ncFLFMEYhpSTLM5SQVGtj6ChhdnYfaw9ZT6Sll+4XrKfSfl6NKRB4W7YtCjodz9TykG6sdISUisM4DGczlNLzQHdFsENneU4c+0y8oiiCCq4pjCPPUw/corwDE2dx1u9TKTy0n7PCFyTbtoXde6dxwcbsrAcztiH0bCkq+EEzSosP5qyNjbFq9RqEsP6mDEGew+wj1oZUMFl6ZQ0edj4Yp21gFELhApCooxhieGaBDau/nf0lytKHJHWNsfFJJiYnWb3mEKxpe0Y3BLVt4MXjHEYqrJTIwFaks17qAJiaWhBKIXxZD+FTBHtv96Qua4Mr0/WMheGiRBUFTmqkjomi2EsUfQHIQdujKLzpY2pqFbiJUMFy/ryVYS77T1p5+8juM/u6D4DEA+QSbEHWDbbvepPFoPfLvyl/sIT3qiITVq3cQaMxy5q1axFCUeRtlPIxlsIWEKR944L3X/R8usL6i0pgPAOxFhdgxrr9C5PkTT8LL1l/Q1gruracwhm/NtKvU1eSC2db4bUfGVWpJBXm5ua6JkQXbMRlqFOkNRPj4wHRSAx1Oy/ct+U+d12tqlfkoNw53iY63xLXDWwfwiiHkZASE7zSQlWZa7QZHxtn5crVVCpRN3GiO2tlNAb+jnc4nPEZTEr7sEEXLh8bzDrec720VN7Sy21wGCG6NbOs9RdXOZXOiSBBa5xV6ESze98ejDXzLgR/GS19PpZFohRh0NYW4GzXswSu65rf72tOeUZgS0RiX5ujVG97jFJ0GaV1w0NQhg3aDfFUGyDRhHANg4dv82q+HdJnGMAMnC8MYK3tmQ6c7W7eHo9w3Z+lSlv2ud+rHB4ZqF9lFeF/DpzFFrn3zsvy2O5P3oBuMCb3JpAFJIbMWS+tNMQp9hvAu1EKZTXMIJUtsukGr43oMkufAVLaxoQPInfeSaSUDkHzPitH9ZVc8OVIRZB8y77bIG25rorcZTL9TGlR+2DfJRUOvf+KwFrTrV8lbY+JOSxxVOk909GNKdaR6MaBihDW5UPfArDsABq2b/tV9YWMUogwrv6/ORf6O2K5WiG7Em8kvcRnjNeYitxLjft9p7s3yjkIgV1ZHuZRYDFB6AnSuBgttdLil8a4viSXEF7gkxU8v8AVOGvQkfbe8oPETT14Rhk2krU+iLc/rWuB/XTh1/anUrjsW+oy7um+eP8wc99wqbpk5M7fxBR9fR/2rCF/sKHjvSF0bSTz5dj5zc/rsuvf3oO+4+VgH4YiPTgD5SFdJB7MDV6Exce5sP1+BlOOrLdRw7cGP4xha9OLhes2YcE5D8ZsAjq5Zyw2SA/Wq96ul57m5vWhT1UN+0Ys+Pu8fg1llA5JD6m+J9W73gJ3O927UPxneythyqwi1xMYeimZkiK3o+/bAYx1sbNRzs+IPiOE8FECWLrnuiiKIKwMU7nKizU8I/w03TfL+eo/ISN3jLKR/t3ZW+OwkShP34jPH0LLE0cZmFsv/spReomH6f+iDPgJakR4M9iT6DvcvRmRapHsjyE7YVj7pQ3IS0ZeSvNqWM/QO6iNQe0IKfdLxp+nDtHPOPvHMxoyu0SACdUiTd/mtTYUkBpAwsfByUE2wiE0KIa0ayu1vcPQq9PDwIiA+2rL26JE99hIKRFSe4SgkFte2qBkKTm7HvJ6mR8y/zopb9vwms/G5tFQZPxSZV8wehe+UzoQyzkV3SWdf12VUrKzIZW0fK613bjKYfM29NwsYk7rt3f2z8koOc3z21derQ3nWGuNFKpnF1xAZU75wnmbP8/z98KoWB29fTf/WY7eOKWT4MJ+WaKz5r5oWVRvH+fmA4N9jQrni5L3SwxLJtHnNFn4WuRwj9pKiEVTQqGUBqHCoZXDJcchrfRutB7jLw9xyUB7qlDvH2V+9MKn7mcz6/u9jAfrOruWQIN6Pep89UIu+seztKcs9qmeHC56v4e40F5zYf0F3c3v3y3f7zMNuPCu6IvOHcIk9nMw9fW3+x1B1/7b/5jB31xI/eo7wUThM14GOhmXQPMZVD/DGM4MF6YLL4W68y56YwiGlvv6Ur+hJvR5/nf8u97kNnLcshDdae3rWC+lc9SBLpGWCWZN9IzGIiDwhFt92GF2pe5U1m8uA1CCa1+rSh9qtnf8ZFlz6POGairDetwz8IR/BIdIH4LywEa6i+GN9FGUAN5DV2b1uHCwlFToOMZag8lTpJA+hKg00BeEGLLy0JQbp4+B9m8y4fNySp6sSrvX0NGLkAedD/auDvmW7VO9BXQzUbzHOEGoiFL9ynJv/1zMBjaonZLh+1g2b7cS1mf8l1KyMQYh6Up3XpK0XW1EaEGsEwQ9qawwmQfMcOUB9ZlSSmkinWBdQZal/iILtlMPVOH3WjlXsQSpI4TyNXSyIie3IQUy2Md669aLkpivmbuuo81X+mT+ZxYBKxluFOi30weJLZTukEIHk4gkK9JQAkIG5+JoAov3E1gsousd9tEBJqDw7O8vUKL0Imt0UqEsW2sKX33UBQebwKf3ShkRxUkYh/U2deu99LKLyu7XqTCFL1EsfYEzh6OwOUXRLj/lz15paXIWawXRwCy70Wl5bJTlJFqDpbT72W5k/yAqi5TPkxZDmIeUMZ20YM/WHdRrdVrtFnGUsHbdGoq8Q1Hk3eeW4Q1ymIq9iB3K/93inMG5wtdjEcPUSIevwGfJsxytNUm1zuzsHHv3TrNhwwaEkDTbs15llMoXSdu+k8mJCZIkRqsK27bdGzyGghUrVzNWH6edznmjv45oNRtUa2UJWLpcpsvP7XxVtww3mjfK7lx4z/ag8JxFJS1KGaW/tqMgiio0min7ZnaidAwI1qxZDUotCuU1aG26cYJS4Jzszru34WmkKDwwhlRY6UOCpHMI6w+qEBJNld279vo1do5OmrJ2zRq0VuRpGyUEAksU1VC6wqbbNnH4YYdRr9dod5o45y8brWP27ZslzzLWrVtDXqQgJcbF3LHpNlZMTbFu7SEewcYW+0mq0pV4qF617ppWZGBSQnRDj0pzgwjrNNQ0NIyBOkLYnUce0lGFwsC2rbuI4hitFHv2TnP44euRUtNqt6gl8aKmkUHk16XUFmVvDAFYYlC/i6xAJxVAsnPHbvLCeLOUUqxbt44sa/lLxRikBOskW7ZswxSGSqXCukMOBQyzsw1mZnaSxB5sOIpjpqZWMjOzj3a7jXWOvMhZs3oNURLTSZs+IkSVeA1eaFOuJ8D5yaNrlRGixzuWQstkoyxVTdf1ZN53PuUCSSj8KoUkisb5wff/iw996KOMjU2wY8d2JiZX8H/+z9eZnJwg7exBJTHGWKJIzwu6XkhD75IguZmiCCbKXkzVYE+9Q2nNvn27qVRrRHGNO+64i3e+85/YdOtt/NVfPZXXvu4NVGtVpNDEKua/Lv0GX/zCF3jc4x7Lm89/E7+78TrecN7rmJ2ZRkrJ4/7iKVzwT2+jWq3QcW2Uimi1WlRrlS6D6kqXzjsxrAURkINMUXjEI9dvh+upMz2gDzdwHoY6OYKqKINEJkpVWCZc9vUv8oV/+zK5kSAV7373uznjjDMo0uFAxPe1FUs1ys8/faqpj3nzko3/jBK+c1In3P773/OOd1zAXKNF2unQaDR45SvP5e9e9gpsUaCERcgEITX/8i8f5pOf+iRnnvkE3vPu97Fy5ZRPU1QJmzdv5qKL3ken3ebTn/5XarUqW7ds5rP/+nm+8tV/5yEnnMjfvvCFnP3cv6Wdd0JMas9C6rrxDoF5ds+lK82kFHnhPeYDAv+Hz8n+pAQoKcnTAqVitK7x86t+xEXvvxgQ6Djm97//PR/5yEd58v94MvvmZhmv1nCjFkWzpc1TBubiumhCXW6zgIzJ0GKMNM342Mc+xM+u+jVFYZmcnOTSSy8j0hU6nVm0jLBFwdsueBM//+WvabfaHLb+UF7/+jfwZ084k4svejeXX/4TpqamqFSrnHLSiZx3/pt52z+9kTs2383MbIM06/CEMx/Phe94F5GqAHlv3kqjsehT7wNTLF8iSPhLZZTLAtxbcufleZYA57jxxt9xxZW/IIojHv3oM1i9ag3OGfK8hdIapUL+KGJesOqIrTGSUcNZ8jyjVpvAOfjZz37Gb397PVNTK3jXhe/n//n6f1JJat0L4DOf/t9859Jvcell3wLgl7/4Bbt27eZRZzyBk086lY9/9GP88upfoWREtTLGrt3bWbvu0LIxyg0p+pxkC7u/2Ly7AV9Z0jC7X+u1W6YNbtp0G7+9cROnnnoKGx+00UvB6dKBHUalhWhRFhBCEid17vnDPfzXf36d5lyDR5z+SB60cSOdjs87d9aRpykqHuMXv/wVb3zjmzjs8CP45je+xU//+6coFVGt1tE64oorruTzn/sil176LR8QrSTf/va3efd7LuLMM5/Erbfezuteex4AWkZ9PMIteC02Dj+Cg50nCWRpGyUkUahueNttt/OjH/03E5MrOPzwI3jYw06nVq/RyVKSkMZ4IOQl4P7f+wyuA6haHydvz5BlGdf85loajTYnnnQSK1ZOYUxBlmfkWUGn3UJXJ7niiitZv/5wHve4P+PmTb/n7849l107dzExsYJHPurRrFixkssu+y6/vf4Gsizj85//Arfe8nse/7jHc+JDTqTIvWOvWqlTFAV5Xu7D8gIDykgFFp6V0ebkAVQzx1M5xE4n5eEPfzj//uWvUKnW6HTaJLGi1ZpD/X/knXeYldW1/z97v/WUmaF3BARFFBvYFTUWsEcTo96b5CYau7Gk3+QaYzTFxFiw9xgTS4waY4899sQKKDZQ7HSmnPaWvffvj/2eMwPMIKOAPM9vPc+BmXPO7HfXtddee63v17XI3So7gmmjbZDpWhQhBEkSZ4osJUliNt98M6ZPP5/NNt2S7XfYkRdeeImjvwOe63HnPffw/EsvAzBk8BAA9t57L7bfbjKbb7U9cbWdv91zPzNnvcpeu+9JrJLMp7O86u60LNedLB+XWPdPWt9zHNfYasstmX7RJWCs9bl4aTt+bu3X0QgypJ7sOiAzzr578skc9rXDqNQqCGMjDZSO8Xwf0Fxz7dWMHjOGG/70J878xS+59W+3csD+B5DPF/jwww+47o/XAJDL5XFcl4ULF3DRxdPZb79pXHXVVfz5pj/z4x/8L4uWLKZfv/7d+ITrN3Rr6Sahi1SrFYIwhxeERFGZQAaMHj2akSNHcO11V1PM96EW1wi8gLZsrXym3fIziMAQBgGVOKZWrXLkUUdy0gkn0lEuobEZey0tfWld+gkq7uD835/NhC22o2//wTjfO4ULL7yYaq3GT37yUxAOM2e8yGOPPsYhh3yFpqYmCvkiO+ywPeeccw6psr7kJI2oRja1VGfg26JxRmGNDcn6RVcLSOE2djGtFQsXfsLSJQsJwxxCegRBzjpqlQVE7clfsqbF+jUkRisWL5xP4PtMnLgpu+66N4MHDyKXy1MsWjKxZW1tXH7ppey191Q22WIrlixtA67VOFYAACAASURBVGDUmI3YfKvtbXlOjkSlnaa/MQwYOJAkI3Ff7hKl8Vo3srKd1PlTrVaj1NFOqb0NhJ1A+UK4zirmOJL2dtuf9XGP44jW9mXkwhy5XJ40Y+X0cxZ4965/3E3fvn0ZMXwkzc3N3Hv3vSxduhSABx78J63LWtllt52JMtT0xYuX8cab77HjjpOR0uWQg76C67rMfv0Ne/SXK1om624j8zwHrRIwKguitvMiiiLmzp1LNS5nYB8CPwhswP464r3XcRWJBU5pamrigw8/BKCpUMRzPaSQdHS0USwU8aRihylT6dt/MIBd19Qz7Gx/vvDCKyxeuoxNJmxGEAQWmCSOSbRGOi6+F+BmJ0sBxHGS6Y7Vt/RXV9YzRWmQMmj8Nnv2bA466CD23GMvfnXWL4iiBNcL0Rl6Sd1i6DEebg2L4zq0ti4jzOWtU1tYmLYn//UoSxYvZoMNNgDgwX8+wKMPP8yJxx7LoMGDWbhocVaC4KXnn+WXPzuVH598JM35AnvvvXf2ibVYVxFpzLpckCs/3qaX9u3ThxdffoXtt9+OU0/7Ia2trTaVch1sVkKQgY/42e+2P846+2z22HMPvvk/X+fNt2bj+SGO45JmiEmljhLNfVoa5dRqEUpplixZwv/9/HQOOOAgttt2ezraO4DOTKI+LfZvmptbMEC1Ym9YV7Yo65Eba1/8MCSJY1QSEfgeQrq0traycOEiDtj/y2y/w/ac/P1TWNa6jJzrWyK0dTA2kG1cQZ4ksXxQV115FdtN2YVrb7jBAsE4Do7nENUiyu3txGmNKy67mP/98Q/42623sttuU+jbpy/1iIpFixcxbtwYhg8fQRQlzF+4iMce+xeTtp7ElClTmDX7VQI/h5QujhM0wL47Zc2NyXqmKG0+Nyh23mUnpk3djSm77MKHH33E2b/+Le++8wY2O8UeRn3fJ0mSHvO817SkaUqx2ESxqT8d7csaCCpXXn0DS5Yu4yuHHEK5WuX2v9/JwV87jN132ZmP573DqDGjGmW89OLzXHDJ1Vx+7c20NPdh4iabZmUrypVKF0bIbm6p10kruzyw665sLBDzTjtsx9cO3IthQ4dy6SXTefDRZ/DlmvNRr0oM1vneVLAkVCNHjuDQrx3MwYccjFKKm/5yC9dcfbUFHTEOaVwCo3AchyBTrl39VbPfeB2VKI74ryOolWs0NTdnxHj2O3V/Zz1UacmSJV06p9MXti43MKNUg8/IXqxoRowYwf7778nXv/nfVDoqXH7x5dz/0IMILJbrishRa0tUqkD4FAtFttt+W/Y7YF8+mPsOPzrtNNqrNYv96oe4YUBYyFMrt3H1NddwwYUX886789hn6lSaW5pBCEqlDp7/z7858IADGDlyJI4jOf7Yo/nuSccxcYstePaZZzn5uydTrraTD4toY5GLOjM/1+yYrGeKEpK4ilI1dtttb8477wKmX3w5l1w8nSAIePjhhwBwnNAGuDsW4q23oQ+fVdIkxfeL1KrtCCnI5Qq8N28ur7zyEj/63kmMGDGG2a+9ym1//SvbTdqaVCniWBHVItIMRGCnXaZwzaXnc9bPvsfiJYt56t/P2cIdyIcF0nj95Ps2xoBqY7ddd+XPt97O78+/mNGjx3D/Aw8Qx0nPmUFrXCykmkkrjBgxgukXXsQ5vz6H++97gOaWZv7xj3uoVDrIhTn8sAWbmSQoZMrVDaxbPoojTj3tVLaYuDmbb7Y55UqZjrZ2KtVK40lSdnHh10PgvmARgOe59mJLG7Susu02k7nwggv57a9+x19uupFhw4fx0EMPE8UxOcdreFDXtkhHkpQX4AcuRx9/CldcehlHH38ClWqVBx54wFJipAluFjJUaOrPOef8lssvu4RJW2/FXXff1XCJvP/eezz99NOM32QidcSnc889l7PO+hU3/ul6DjzgQP712OO8/8H7aKOp1iprdbP+AhVlHeGwLgJwUMqgle2YwYOHIKVk0qTJDBgwgNdff93+pbYhPWmiMvj+dWNrSSmoVFsBTT7fBLjcfvttfPTJfI454bsAzJj5IsYYnn3hOX597jksWjSf55/6F3fceRsAm06cyKHfPJ5Tf3o2UVThwfvuBcDEEbkgR7lcyvpCZi8Hg4vGRa/lC6u6uKS4JmlcIhkkSnjoFLyWgUgnx9Zbbc6WW27B/A/nZcRZa38q1W24OEkxQhKGHv3790dKybAhwxg+bDBRHNHe0YZwfKSTWZHa8MlHHwGQRFkMroEZL73CO+/M5YorL2POnLfBwK9//Svs7TRUKnV/saURGNDPHsUdVIYUJRG4QEDnvWhX278rLr/o5tV7SVKB4+VQOCgjwAgcJ8+YDScghGCbyduw5RYTeW3Gy9aIEBY3c13YvMbxiRJDGisGDxxEsdDEftP2JAxDZs+0F5uO45KmGqUdPN9l76n7cdTRxzJ12jSefe555rxt1/i7895Da8XkSVtmYUo6Q6G3cZ2bbz4BgAWffIIUDq7jgRYIY7EQ1rRq+wIVpaHTt2OwjHySNFFIJ6RSbm34G159bSbLli1jkwm2c7Sy8PBpmloGxVURW33muq38cj2Liel5Po6TZ8GCj7j7nns486xfMHbsxgCMGjOGCZtuguMoZr78bwtiiqa93EatVqUW2cUXxVVCV6ISG3/oCsCkhL5v0XuMTafUjZeDWUfDJY3CMQpJRjEhJFpIjBtSqcT2km3+Aua9+w5jx2yA57lrJJ92tUQ4+EGAEII0rpFk8ZvVSplFCxfSVCwwZPBw3ntvLvPmvQ0Ydt55e1pb2yiV2lEqZfLWW9CnpZm99tyNCZuM45UXX6BUsv7Jt994nX79Whi74Sjmzp0LwJy5byOFYNzYMTbvnKxvkFlWkEvnUuqiBE09qDnLWKMOd9YZxt/r5rs+qZFoXBCWKbFUWkJ72yIA3pr9GnPenssWm21K4PmotLpSnv9nlXo2XVeqha4vIz38fBPCdehot26KF/79LEkcMWnLiURRjZkzXqa9FOEELSxauKhL6XYN10+HpVIHW221FRtvPJ40raKU5sMP3298e9677wAwZNBQy87oeJZNIcvzBrlG18t6FR5Uh6AHuO/e+5gz9x3GjRvHBRdOp7W1jalT9wFsULojQGEQjksclfG97vlM1nT98oUiaZzgB/DYY0/y+ONPscdeU7njztvQJmX/fb7M7Xf8jX79+5HEKc89sz0tfQsc/a3jue/+e3nksYfYfvttef75l2hrr7LN5EkA+EGOOK5SLBa7hUT7osUG6Abcess1LFq0mI8+nM9LL7/M97//AzzPI/kMvDm9lfpyr/PAvPvuPG697XbGjh3La6+9xqLFrfz3EYcDgj9d/ydmvz6Tq6/+E6eccgoHH/xVzjj9/3j2mWf5xje+xYABA7n6muvQKmX06DEce9zxzJgxi+kXX8yAAQM54ID9uP5PNzLl2qt48KGHKJWrbDx+M7RKeg9fsEY7wVjM1DpQhZfn3Tfe5NprrmPq1Gn85S9/4o033uT3v/stfhCQrENXjhQWZXzZsqXccMOfaWlp5rLLr0CpmKnT9uWVV17hxBNO4De//R3Tpu3DD3/4E3bbdSf8IOT22/9Oc3ORQYOGkCQxD/7zPkaPGUuxqRnQVColLrpoOhMnbk61WuOhhx9js003YsyGG6FVkvHPr72T5XqlKKEzeP2pp5/m4kuuarx/3LHfYvTocRiTkuoUYWSGibemacfosTyVpoShj/AFFpbNug7OOP0MADbbcjyHHnIYE8ZPpL6sNSlNxSYAZs6YwfnnTm+Ut8+0vfjSl/YCLHZkFEX4vs8X7wnLpItCqAcfvzJjBtMvuhyAvffYk6nTpmb8KGv/wkCQ0YwKgZAhS5ct5Xe/+33GvAhbbzWR7/3gR1SrJZ5//nkWLV5IkiTsscde7DplJy6YfgmDBw3gS3vsiZCSDUZuQB1EsaPDWpR9+w3A83wOP/xw/v73u/jO0ccBcNhhX7VdYlQ9Vmytt7c7URkgtpSCarWKEC5vvfUW0y+6jOkXXQbAwQfty0477ZIBHvvE3VGbrAWpRTXyjoOUPvfdfz8PPvg4udDnpz/5EWGuyFtvvslLL8+kvb0dgLvuuosb/nwTAMVCnjPO+F+GDd+AjvYOnn/+3+yzz0GAQasYrRR33HEH551/CQCDB/Xj7LPPwg98VGz9k5any18rbVvvFKXrukjp8J2jj2fzLbbFYGhpLrLffvsSBD7VSj2Gjuw2z+B56yg8yHGI4xjf94mjMjvuuCNXX311Fk5iGDJsMMoooqhs+Vt8nysuvYJCIQ/AIYd8hQEDBmX0uA6TJ02kX/+BaJUQxxGOY0FGv3AxXdGw7THRUlcojjvuRDabuDVSSr60++4MHDiQarnMurhPM8Y0kMKXLVvM5ltM4oYbbmTZslaklGwzeWtGjR7LY489ypNPPcMvf3kmffr0Q0rJNdf+kUcffZyNNh7HJpuMJ0kimw/uuAjpcuKJJ7LfvtMo5Iu0tS5h22134KabbmLWq6/Tt08zU6bskllzqwrhWvvi+T5LlyymX78BOJkPdtKkbbnmmqtJU4XvuUydtjfNzUXaWpfSf+DgxiltbUsQhFQqVXK5HL/4xdkceujrDBrYn4MOOohqtcLTTz/BtttMYtttJgNw88238P4HH2OMYYMNhrPnHl/C932KTU2cd/5FDB06hDSpIB2XXL6ZC6dPZ/78ZUgJY8eO4Uu7f4lqpcNiSjg+aZpkaYlrvm3rlaIUQtDeUcL1Yrbccmu23HLr5T7XuoZKE4Iwl/F9O6g0RoqVQR/Whvi+z6JFi+jXfzBgGDlyOEcffTSQUu9KpRRxWqMQNpPECXtP3ZNivoUoKTN+/EaMH79JlxINKs1oeaUgl8s1gmfXR0mSKhM2nciETSc23it1lEBr5NrZyJeTOp+Nzb5QtLQM4GtfO6zLN1K0iojjmBEjhrDDDjtlpFIxG44dx4ZjNwJApRG1WrWBGhTHEVOm7MqUKbtSrZQIcwWU0uy08y7stPOujdKr5TYc54sdHWHIUHQsJkGp1M6YMeP4znfGdfmWodyxlFy+mfffe5ehQ4c0kJLWptRqNZtBF4bstNMu7LTTLgBUK+24riWh23TTCYweMxaAffbdf7m/1zqhUm5FK83ee08FUqJahba2Nvr1H8xBBx26whMNaRIh/YCoViNNY4IgZPWurno3juuVojRGU2zqAyalUm7FxoopAj9HNaoS+H4Gh2UT3IMgaHDDrKEaYEEAujePtAYhHFSaEEUxQWDT6cqVDjzPz7igPRwsS2CaRiQZrYEximXti8n5OTw/I7xSNnDeIsKE9ljlOujVvJzqGV7t84pY+X9j+7zUsQzPtVYYCKTQBIWQNKmulZp03QDrFqVSipY+fUkTy3oY5nIEngfSZ+GCT9h++225/bZbGTBgIElcRgpJ69Jl5PNFtE7JF5qAqr1FNxohjM12AdpalxKGORzXUo8IBK2ti2lp6Yvnu58DV6DRiq4Jdr2Wjz76kKHDhgMC15UEQTNaRbzzzhzGjNkQpRRtba0EQUBToUBTsYgjHdLegmLYqvbqutx1Xfr07YfRKVGtA9/zWLpsKcWmvqRJjdNPP4NKpYxKI6QDba3LKBSbLMpRuYTrOgSBXd9JXM7uLPIU8tDWtoRCvkAc1WyGnNEZo6aHkDb9VBNa18haWBdr6MDUJWH+c5aDTrPjpyaXbyYMm4mTiDAsWqw5DEkSo5IU3w+wsGzr5jY4imL69h2I63lEcYLjBrS1Libww4z8ShMGIZ4bEMc1XNehuakPS5YuxJEOoR/ieA7VaoVqtUqaJIS5HGAQ0mHRwsVZuMnnk66EVMszqHx+8VyJ4zp4nsOSxQtBOGtAefQgK0LDCUESxzaVrValo6ONlpa+hGGejz/5GGNgwICBFApFNhw7nkKxGTAobWltXVeSJDGl9mWEYZhR+lbxA4slsHTJIgYMHEIuHxKGIb7nUam00dJnEGlqcSw/Teo+dsFyeAxdPpef6+g+ePAQPC/IOJOgUumgUikxavQ40jShWq3Qt+9A2ts7qFbaKDY1EcerIF1fhdRnD9Q3rFVrTSlsgHua2HCxJM3QvdIa2mhGjx7N+E02QRvN0iVLKBSb0EoTRTFpGhPmipRKlcx4MERRjXK5zVLWYjPjpOPguC65fJ5yuWTpdrWhXOnI3D+rAon57Fb15+f1xoKdYhIQHq5rUEliHc5CkPZyEdmAWg8BJLEN/nVdF6NtSJCL2xiuOI7wXM/6z3o5+epfr1uj0skReIZUKUuD2o24roPWCWhoaW7G6JR8vogxCq0gDEPiJEJIcLNgZa1SmpubGtaQ0ZbGU1gnK0lsOYwFKQMG9EOtygdmsmhT1wfHI0ltrKPne0Rx2mBVLHV0EAQBffr0QQgPRAq9IHESK8VrWjpWsIu/DhfWf0A/LIhbRnLWE75lDxO0TjPQwD0UEoRnA72FQLo2FVGIaoOQy/U8lLLZNsViE2CpFYYMGYrRmSLLmP3qMfBCSIpNTYAhn7f+Yq11IxUyTWO7qbW0YEzasFjSNKZQaEIIhfS9rKzu2mhwHPt5HFsiq1qa4vseKgsHS9MUjKX2TZKEYqEJpeIGnNzqihAQx9WsfZIwtHn2RlvK31wuhzEJgwYN7OznXlKOABgh8H0/Q/+3/nm7LgXSdbuo0E7R2oLv2lOfzuqT77JxZ7G5Blqy9FAhwJXgFookcZUwDBr0IEFgydriOCaXy5FmegWsi6u5udluSgY7rtpYxZlBCxopQTikaUIYBJbyOMOyjWqWuM5xV8/I+tyK0hgIggDXSGqVdjzPs8CiWtlDRi+1uFnh/xU/WROeFosElOK4CflcjsAPSOIOoijGzVDDP72GnQpgVXttonq+nHG7BGl/+m5nMDgY6diccGUoFIqEvkepGtkaGJCug8Ae6S3QaQXf6+U4dEOF0T1ZoFWSjfr14hnGGIwjqRPTgUS4oJSlsBUC0rhMKiwftu97FilKq+x4tXxZbhdl0CNquFl57Hr+TvfjnKYrUyaDycB7U4IgpKmpicDzKNdqGR+1JPDz5HIhxWLRRjZkrIafBxmqp79cnXauslxjLD+4McRRrbGOjc6oLFQPLABdn2Vo4LvGSfcwfMuNWz21dIU6ixXLXaFdy7W1Ps2NVeNaa5ysn9PUIv3bTVkiXdcaYOsMuFfYGkZRxLz33kNrjeu6Nk/WmF5VZl2JEII0VQwcNJDFSxbiuJLWtlZbd8dD9ZLa0ojPlu/bIzVPD+JIiY4TYqUo5ItUKhWUscRVZIRPdRIoYwyVapUP3nuHWq3SuzHo3mj6lC99hvZn6NlpaoEb6qT0C+bPx3Vd3nv/feI4Jori7AinMst2+WevCuHeymdxzXQ/B+rhSd20hubmFhYunI90HJTRWFR4jzoLYxRHLFq8mLlz37Es26YzxGy9EyEy1ktBvlCgWqnQ3t7O+++/g1aq23r3dGHUU599+rj1tsp226lbpFprPNel1NEK2ZqXjsWKcLI0yk5q7VXL51aUUgiiOKLa3kGtf41arYbrujbGC7qlIfiiRQiB0ppcPkdraxvFYhOO42QAG46Fa+pFeatSlM4qkI1649szQOB6BK5LkiqoI7ELEI5otElrjXBkxphnuXza2trWSZxjb8RANmGdhnvG8+x0LJVLOI5LqVSiWq2SJBbwII7jBpHdirLqvlxzirK7Y6x1q7g2nzxzESSJ5Yivz3/HkRhNgx87USm1WtlanJ+hdutKROY+q1SqtLW3UymXieO4W17vnhTlqo7+a9K/3Z2izIWWTkJ2oaWp+1t7o5c+t6LUWTZNYeAAJk7cAqVSpLR+ISmdLLZp/ZsKNsumhY8/mc/oUSMZNWosSVIjy9nrbWmsGafApz3DQZqMT0W6vDl3ngWyzRah0QatNEqYzKfkMmbMOMaP37gByrFm69NVetdn9cnrSEmqFEKQ+SNdXn99dhb2siGeZ+Nq/SAgTeLGcW7l8lb1tDWnKLufyiLjPAqZv2AR5XLZkqYlSeZKsEkRnu/Rr19/RowYTj6Xx+qP9cuIqEv9QgohQEoWzF9Me1srEyZsRhDasVj9snr+bE3aUGK5fywNRxgWeHnWLD6cv8BuWnRyetVJ01ZH1khcjVIpWmqCIE+SVNEZ8rjjOBlm4PqnKO3gSeIotpPcCxFCZ8HjvbwYWoWiXJUlJ3p1W28QwpJtWVe1JE1TalGcDbitCWAJrrBxn54f4Hq9VeSrc6z+fIrStifb5bOsH+m4SOk3Ssrn8xa5OmNnBJFZlN09a1V9ueYUZU/v+14O6eYa0Q9gw7fqvCwWqs2yS/p+QLHYhNbdW2brg9TnkOt5IJxsYxMI4eA6bk9O6x5kVd9dcxErKypKjEFI1/ol6/no2fq2Y2JW+w54DZGLkR377KBbKtCUNO2debuKJ7Dmla3B9Tqdvpg4u801mB7iKHsSUQf3yI7DK8U31qtv7C9WpwlQKb1pl8QgTILCMuQpZX17Fm7LHvMcR4JRjfhMY1LSRPcSIqze/q5j1801W1cnay/7DEAK67tTKgPfMBrhYVkQsREJNqkg7XQrZM/qmjdkjMnq0rWju/brZ5mDXRd3Z3ndl2rAKKQLlWqFSrUKxt4UJyrJKHltO5MkIYltOIwx3dO+rg9itM7mVufllXQchNAkSdRtvbuz9IWwJ53GzXeXMbIbfm/bb/8+sxmzMrJn1R/YpQ2ur1FZlIbKaJHrde1KDf1psobIxerX/2lmqTudDIA9vBASMiY0IeyikWgcYSlJBRopbAf7fojWBmUERrpo6ZARA2cOZ4MUNnC4Ad6SFdxzHWSjc6V0OhnyBHbRrfASQuM4AiHs8+K4iuMYpNSkRiE8h0q5ROD7ndnnxvLzaceQGIV2ADfzHxqD44ZoA47rYgQkaWyP0UJjhAah6aSByPpNSqQQOI5jX67b2C3rSsO6PCxToK2z6dWL+rOzV1cMI6VSq7y0QCkJ0idRsrPbu3v1NAfq8yf712TDZzer+tEoOx412uxmm5HGkQqlYrzAIse4XohSIgvet4VJRyC0QRoLpmIyZSuzfmz8LKUNO3LdLNzJEsnZEJKQJBW2B6TBSI2RCiHt9ySdtKdGa7RWuK5Dg2va1AEbDNKRuK6kjpzV27HRQpBqZceVFJVUcaRBSgNSkiqNIpvfxuA6IkOB6t1zHMdBOtJaXdKOiVKWbbLOVb7iS2JwpMhcb5Y9s1aN8HyfOONLtynK1mebKutzdlwHMleMMZaKVkppff/Cupa0MGijcf0AZQS1JMXxQmpJitLW1Zcq1QjnJ1s3dg04jYspKUXDqOiNR3CNKEopRRbf1Kmdtc5MX3paPPaf+u8WOErhCYNRMb7nIoxGpYm92leaRDgkSKIMj1BIgdYWNFbQdaHTqShX9Xxsp4nOvrWfrqQsreJwHAMotIpw3eyWNqmhpSLB0NrWihGZ4kst8no1jdCOoEaKciBRKWkSI6WkXItRwiE1Buk6IA1Cdj5vRd+nMXbySWmVpG6EmHQ6zG18oNc4WtQRu3vz6sQK1QgUgjSDFlO4joMwBke6IH3i1EE4nfQd3UlPY9Cd1GMq6+mKSqkV9nwHtLapq1IhXUOp1NbAMW1treB6IcY4xEmERiG06Qz7UrqhONPE8i4Z3Um3DAJtDFrV0DrO4gg9OkoRWjooYVBCoUWCIc0sItM4itZDmBxBFspUn192LIUwVjE0fu/d2Cgp0a6DdAw6reHKFHSMSSOEdJFuiHQCtFLZs+yc7e1zhMQqxmyD6WzDKjZEHeGSQprgSGHJ4ByHWppaOnpXkKqEOIlwPAFCZZTTlgAtVUmDmxtpT6lKWJ+7kQIt7GYgXQ/H9UlShXRcRPY73V2cGuuCQtS510XDmKivqdWR9Q7hXGtlb62Mdca6WUB5U1ORMLA3WPXIfZMdxz5LQO1nkahWwxhBtVbFdaSN5xMC38+hjWHIsGHUKjVA2l1dhgRhHt8JcF0vAxh1MRrcjEzJkZIkTXEcF8/zUfrTjyKNYN/V3hHXnMfckYJatUIQBBRyOeI4IlxDoAv1xVifu91e2mQbm+O6KK0JsjkR5gtgDMWmInGcEuYCa2FkFBZ2cbkWy1JKkjRBG4GfK2YnBkEQ5ChXyjiOxHUcmpv7opTGkYKmpiK9AycWK7tgurbjs7qkpMD3fJJEk6YJQb6JKIobsY5B6ON4PsKR+H4Aycpc4qvdAtFJV7s6olLdsKilcHHdwPLcS4fmQh8cx6ZSRlGE1oZ8zn6WRAmOF2QwbXmk4+B7OVzHs1Ejxs55zw+IkhhHOhTzTdSiiFyugNGKVNlU5m571XyO/s5kPVOUFozX9VySKMbP98MIDyE9arUUXzjkwxxhGHYuImMaJFJrtWbCxoq6bkiYy6O0IE0lSWrwRY6CWwQTkC/0QboeYb7JDp7x8USIJ31UYgj9ZtywSBQrCrk8vucTeDm0Mhk4xno2JCuIUoZ8sYU4SanWqhTyBZsBsc6ebzdSLwioVato5dCnz3CrXKUkDDNYMeE2MjuMI8HxrEJxPLxcEel6FJv7EMcRBgchXTwvxHEdhPTxgkEo7WKQKK1pKuZW4U/shTb5nCIgc39A4PvopIofhISFQXheiE5TKpUy0g0RjodOk3VmSHi+j8i4xo0RDSAMnQJCkiQpYZAjn8+B8TA4OI5HqhSOE+C4YXYklsSxQgoPh4DQz2OUIXAKFPwiKtXUohr9WvphtKKjVMoUdG+gkHunONcrUAwwOL6P8ANcCfPefZurrrqCOElJUsXxp5zGhqPG4HoeSa1CzvcJ8zkLZLqW56oxhlyhQKXaSuD7BGFfXnj+OW64/irGbLIpjuezZP5CzjzjLGa/OpsHH7yfefPm0TSgH1877GtsOn4ztG+YOetl7rrjDjo6SowYM5bjjjkWz3MoV0t47ooscuuXSMfB8fsyShSgCQAAIABJREFU45UXufnmW4iSlEO+ehi77rQDaeYvXuuiNU7oE0dVglwftPH41yP/4NFHn0NIl5bmPhx00JfZePw4XClJlSHIF5jz9ltcfdWV9OnTh28deRTDhg3n3vvv4tmnnyVKIlpa+jB1773ZdpsdEcLw6qwXuOuuu2jvqNLSZwDf+Ob/MHT4YKIk+WIjerQhSWq4jsTzQmodS8j125AF8z/k9n/8gwULFlGuRuy5+87sM3WqvaxU2rp21rLEaUrg54Eawg25887bee7fzxLFMT/88Q8ZPGAQUVSz6YYm4OYbr2bR4nZKpRK5MMT1XL5z9Am8/8G73HLLrcRJhB+EHHvM8QwfOpy29mXc8rebee3VNwnDgNNOPY1hQ4aSzxUIghy1aO3x5qxnihLQ1gkbJ5pjjzmax594ljFjRrFw0UJ233saQ4cMIfQ8G6gbhnhOQFStsC52dT8IWLhgAX1aWghC+PCjj7j5r3fQ3Pdx3pnzLi19+vB//3s6vzrzTP52551sNnEzZs56lWeefpZHH3qU996fx39/4xu8N2ceY0aPYfabFzN23Dim7b1nlkXgU6uVkV8wlFdPIv0Cy5Yu5Nijj+LDjxciHcvjs+3kSfjriAnTcRwQDmmsKLYM5OGH7uGww7+FEA65XIhSMHmbbdhw7ChAUMj3JYoifvazn3LPfffjOi5tHe2c+cuzmT59Os//50VGjBzB22/N4cqrruLFF19CGjjhxJOY8cpsxo/fmBdefImXX57JrX+9EeX42UXZp3lb144YrfEdH6UiXCReUEQIwcknHc/f7riXDceNJYoTauU29th9L/ywSFQp4QixljdhYf3EaY2wqR9PP/kEJ55wArl8gbb2dg466MsMmTKMKK6Rz1s3xi/PPpu33vqIzSduSrVWY+TIoXzjG0fy8MOPctYvf8MWW0xkwcKFTN17GsOHjuD6G67jtJN/yNaTtmL2a69Tq9U4/w/n01Qo0lFqs+mQXaFU16CsZ4pSoFWKQ4Enn7iPhx55gh//6DS++T/fZt68eYwaN45CECKFTdg3RpPEKXoNp0J1L/aIP3DgADzPo1JuZZvJW3Hjn//IsFFjOeSww2lbuBTHdTniiP9iv/33Z8qXduPEU05l5iszALjv3vt5beZsLjzvDxx04EF85bDDuP2229hv2j54nk8UVxrgE+ub2Hp5PHjfPcyZ+z63/PUm8oVmcvmCvdTqZdrnZ66H46DTGvlCH5YtXcRF0y8glwu5aPpFDB06jPkLFjNp0tZEUQ2Ld6JZtGg+f7vtDr7/g9Po6Chz2eVXcPLJp/Hzn/+CtvY2Np0wgd+fey5XXnYVHy34GFc5PPXUf/jhD07lhz/8MYcf8Q0euP9uACTdsRraG+11IcZoG/BdqaG0wi8M4rVZL/C3O+7liP8+gp/85H8pV2sWaMJxwNi4zbV/UjEUW/qy+OMPaRlY4Lprr2bi5ltyzjm/4f0PP2SHHXYkVQmuG5AmCtfV9G3py047DOemm26kVCqhjaGlTx8KhQKTJ0/i9ttv5d335rHJxpuSpikXXXgxO+20E7fcegtnnnkmF194Md///vcYPmQ4WhvCQt6uobXQuvVLURqDl8uhlMuPf/JzJm29FWf84iwKhSYmTtyS1GhLTRnX7MWHSoirZYqF4joI3BUkUY0wFxJVq1g+5aGMGDkWZTQuki/tthuO6/Llw77W+Kstt96aN19/A4BKzaK+7LbnXozZaCNO/f73+NvNf7WlC4EjbWjK+pZuiDFIx0OrlCuvvJLJkyczdeq+Xb9AlH7+hVi/lVx1JkcWJuL6zHvvHR5+9Al++r+n89VDD1vue2kaESdljBE89tjjDB02lBNOOJ777nuAjvYSH3z8AVO6gPJO3Xca1113PYsWLmJw38EAbLHFpgweMozddtuLV1+d2aX0zJI0Xf6vu8ztzcNaEykEtSiCVKGMxM87TD/vPIYMGcLll11On5Y+nV82hlqpFeE4iHVAJ2zSmLCpH7Nnz+Ke+/7JRRdfxjbbbM8222wPQCVuJwwCoqiElBaNqLmlL6PGjFuuHCkl/fv3Z9SosYwaZUF+Z7/xGu/MfY+vfPVrjBw+kiOPPJK777yLRx55lKO+dRSu61CrVexpbC1sCuvZzYEBGZIqzYxZs9lg+EDO/tXZ7L//fpx3/u9wsKEKnuOi0iS77WyiXC6vk9oJKSmXyjiui+MEGGP9Pr865xzmzX2Hr3/96wCkUUxStUHTTz39VIPgqb7+64qwpaWl4VNRCjzXp1Ku9hh3uM5SQU0GV2Vs7Jx0PYTjoJTm7bff5v1573DkUd/mjF/8gkplzbo9bOC5aaQqCvtGFktpowSy2DKWLStRraaUSks56qhvc/DBB/PWW3MAGxtLFlD80ccfMXTIEMaNHc/o0aMpFAs4rkRpxZz35vDKazO4+S83sfmWmzNo6CAGDRrAVltO4J57H+Luu+/igQfuZtttd2r0TUNBdnmZLJlACpGhj5sGSMmaHDdpDGiD5/sZmjc8/vTzSJNw6WWXse9++/Pj/zuD9lIJhMBx/TX2/M6NrPtXVKlQbO7Lxx/PZ+GiJdz599s49NCvcuPNNwIQuPksZC2HlC4LFy3iX08+zT777MtXv3Iwb7z+GgCLFi3m+eefZ//99+f6P/8RrTUffvQBffv1ZbfddwNgh+12YOCgQSxZvBghBGGYW6uG/fplUQpJXGlDuE2MGz2MRx5/mrnz3mfx4mU89thjjN9sS6ZN3YdaHGFUQhh4+H6ONF77DIBg8IM8jrRcye2lEkIY/DDg5f+8QKRSdt51F3v7FiV4xRxLFi7inTffYvRYuys2NTUDcPcdf2fCuI059eRT2HabbQDIBQHlageFfBOaL5g3p0sMqjGmkWoppGDQkCHMffcDHnrwn8yfv4im5j5879STG0gsa0IyzAK7ALso4Xp94ijCzwk8TxIEcOllV7PnHnty19338PFHn3DtdX9k4sQJCGFze5ctW0aapmiTZohFgqhWY+HChey5154k1ZT5H3/CeZecz8SNNsMRDqed9iOOOfY4HnrwYZa1tvLgg08AoNGr3Ba6KsY1DZpM1n7PdTBxhM4wRlUCCxcv5YLzL0AbzT//+QBDBw3glO+eZMPrjEKZtZ8BVMeKLBYLeBIefuQR2lpbeeqppxk+fDi777o7SRYALoRkxx125OWXX6NSbuOf/3yWt95+i0cffZxhQ4eSywfMnDmDp595mslbbcuECZvieW6Df6qOI9u/f3/A0NHeBgLyudz/Hxal57kIISiXSwwbPoJb/3ord99zN/37D+AP5//BZhlIgZt9L01r68ivJ0gS6xdCCJqaCg1yJ0HKpG23pqnJIjYbaZXLUUcfxSefzOfMX/4CgAMPOoDddt+V3/3hXDbceBwfvP9+IxzIkQGLFixqlPlFisgyGBqo9TYXEoyh1NHB1pO24aWXZrDX3ntx5VVXUS5XcP1wndTNGEO+2I807rD8RDEcdthXuP76P3LTTTcyc9ZMXnzhBYSAqGat8359+mZpqpZvRgpJS7GZgQMHctNfbuQnP/0h4zYex/nn/oFqucqC+Z9w4QW/Z+LEiZzx8zMYMmQIp5xi2RglThazuLoh9GtWpBSkSYI0FhIQIPQ0fpDjkksv5c3X32C/Aw7i9J/9lKVLlyK8HOk6yicXwirKWpSQaDj99DN46eUZVKtVHnz4YQDa2tpJEouf+vvf/55HHn6Eu++5nx//8Ae8+urrLJj/MYceejivvDyTSy69hDRNeeGl/5DL50lTZTmaGg8kO00KCsUmS/WxlmDr1i+L0hiEW8Sk8MmidiZutR2bbLoFAGPHjea5J55CCkFTWCRVEUrHFp1oXd08ZpdGxhgc1wUjeOuNWbw2ayY//eWZ+J5PtVIiVyxy6y038+gjj3D41w9nz932QBvNkEFDuODCC3n1pZdoa21jWbXKf555tlF8sVgkijuQ68CftCqp54/X08dMhrJiRIYq7/kMGjSIYUOH8dgTT2UL0WXlHOu1IMYgpA0uTmIbnD5lyp707TeA/fc/gDRNee+99wBBn5YhAPgZmLQQjuVd8lza2ztwHZedt9+FnbbbGc8LOO3kU3l9zuvk3ByzXn2LG264hv/6728TJZILLzxn7bZrNcWRkkq5TFgMkEERgL79mmmvKQ477DAkMG78ptx7150ZhJm9jXbXgTFh0cuTxsVRS0sLEydOxHVd7r7zLn5z1q8YPGgESVKhXFrCoCEjIUPTP/iQQ/jLjTfywvMvMHHzrRg4MGTXXXdj0qSteeSRR5g8eTK+79PSx/pglyxbQq1Wo1KpYIymUinjua7FOlgL5+/1zKK0IiUM7l8kSSxQBUC1EmfpYZpKXCFRKUZZH9C6ouN0XddmhKR2h5ZuwMxZs/jok4+YvLml4BQS3nztVf7w+3MZNnQwV15yBVJKWsttpGnK1ltuzTeP/A7f/d73+eCDDzLOHFA6pqmlabUyc9aFGGMvJeqHSLA/NzU1Ny5blFKoOFqHsZ8Z5qZSQI583kVKGj7qNE3RWrGsdRlxHLNgwXzSNGX7bbfjww8/ZOYrL/H2W2+xZPFShgwZ1phbQggGDxhALszxyYcfkSQpo8eMZNtttkUIwY477ojvh6jl3AFfTHhQHQxYmM60yY03Hg8CkowbR2XkdPVRWVcB58YIdFTDz2I262mC+WIxC5RXLFjwCVGkKBQHEEWdLqY4iklTxYiRGzTeq1YrtLd1MHbcRmwwchTzP5nPDX+6AYCHHnqIBQsWMGGCdbE0N7Xgej1k5qwBWQ8VpWUiPP7443nppZe54U/X8cAD9zJv3rvsvf9+NBaLVjYsCLlWfBLdiVLKBre7LkJ6gOQ//3mZLbadzJAR9qY0qlQ475zf8PzLL/Pdk7/L7Ddm89xzz+FLj7fnvMk99/6Dp596ivvuu49rrrqa/Q88ILs0sQCujvPFG/n1yxSbiyyy+ikcx2WffaexcOFCnnzySV588UX2PeBA8rk8mHVzvJNSIqSD0Yrhw4ez6Saj+ctfruOJJx7lsssupampma9+9VAefOhBpu27J+/Ne5dBgwaTxAkXXHABTz3zb0aOGEEYBlx//bU8/fTTPPPMU1x37bW0t3cwduxYgsBj7tz3uODC6bz80stceslFtLe3sT6Et6ZpSi6XQ6UpaXUZYJg2dSoLF8zn3D+cx5PP/Ienn3iUYcNHZMyg8Tq7BJRZHvYGG4xi7OgNmDlrJrfddhuLFy7ksCOO4M0332TatL256647ALjqykt49tlnefmll/j1b39De3s7I0aM5O05b3HPvfdwzTXXMGPGDDYZvwm5MMeGG43lzdlv8p/nn+e6a69Da80O2+8IGEqldpJeAm73RtbYqhSNfz+f0jLaIhB968ijuP7PN3PqqacSRRFDh43gzJ+fbsnOpcQREnQKAuLYkkOtbalfbDgCkqiKH7qUO5Zx+KGH079fXwBK5Rqvv/UmniP4za/OZv7iNgAeevJBWsJmvnPst1j4sX1v6rSpHHLwISgVE6cRnrPq/OCsFjRuHtfStLCINxmsm7SAIxZFRnDCiSdz+x33sOuuuzJo8GAuv+pq8vkcKi6xtq0rk2FYpnGE0TU2GLUh3znmWM4442z23Wc/KtWILx90MFOm7MQZZ/yCWTNmk2rF+E0mcNJxx/C7c8/DcV1uueUmhg4dyjm/PYe357wLQOB7/NcRhzJ+o/EsXbKEKTtN5qorr+WO2+6mvVRmyq42lEjprlc03VmVazc8iAxFXAiBiiIIKuw5dV8mT5zAL395Ft45v8ORLtdedx19+/Vl6eLFNDevG/+xkBKTJGw4bhynn/5zjj/xJM6LYyZuvjk/+9lPueWmm5gx4zVyOXup+cjDD3PKqT+iGOYQrsNJJ5zAqNGjueKqK/j+ad9HSNhiyy3YYfvtCYKA3/zq1xx3wvHsvOvOuNLjRz/6IQP6D7Tsp2HOckl1W7EuP37GKbqG8CgtnFhnZTLAUlZj6TRqLjDSQcVVpHQYNXpjrrryYv71xJOUylX23/9AJm2xFbGKqc/EOryYrqP+dHcU6rFnsjJWyFPuVPUrhxQjLJyY0iYD+PXYYccd2WCDMTh4KBXRr38fTjjhWPaeM5ewkGdpqY1yrcKAfgMY0m8Qxx5zDEs+XkgYhHz72JNoaW4mTWvWUvWCrNyuT12hHlm4jM7wAjvbUkdFkY3viS6IKSuPxCpWs7G9UMd+MkYipMHoKmPGbsLVV13OTX+9lb2m7sMO226LNpq0l7GfjblhVny3frxd4ff6TXIWcqN0ii/g298+hkIh4IXnZ7LJJpux734HESf22L3JhI1oabGL8shv/w+5nE9LSx/2nroPUjqcecYZPPzwg4wYOZLm5ma+/s1v4XkBAwYO4Oqrr+Xe++6ndVmJQlM/Djv8CAygdIK0wGqdc0t0zTGWCClRxrIrikZYXyfQSx2weNXxst3PWykzyl7XRxuBiksMGDyCK665hhv/didBrsDQkaM5cP99rD+/uQCsiuu6+3nQ9ZDW9YRR36S7W1cqVbZtOuXQww6jo6OdDz7+mP0PPBAVJ7zw4gsMGzaUDTccDcCxxx3HkCHDUUqzyy5T+PKXDyaXy/Gl3XfnmGOOYuDggRxyyFcZM3oMUVTj4C8fTGt7K6/OmsnIDTbg5JNOBRTVWhXf9TN9QBbXmo1P1v+WWdN6K+rgJl3Brj9NVjIBU6Vo7Sj1CM5gMMjMVxiGIbVajX8/9xSOSdhtt92zwGmLvl23AFYty6ulOuSVF+RxnIA0jUiSlFyugFYxUVJbbtkLQRek4t5sF4YgbOb+++9hwzEbMH78eKI4Xk1rwH7JcQKiuIrruDiOh9IxnusCLkLILKzGWMQTRyCMIIpjAi9ApQo/zKHSGkonFuggo27tlOXbI4XA1WSB94K77vsn0/Y70AbbC0mSRIRBjtB3mDVzJnPmzOFrhx6C1kkvQ3eW7wTR5QcpA1zPp1KukC8U0CohSWN6h3jdqQxNl8WnMzSgV16ZQaVSZpvJky3iTMZlpKlvEICxqFF+kAccSqUSxaJVipVKia9//XD69e3LpZddTeA7gEYrgePZS6e6K6FasUkEWlmMxyRN0TohCCwnuFYWygsgTasZpcaK4AuWJM3zizz++GO0ti5j6n77kyaaJLsICwOft998g1mvvMQhhxxCPhegdNpAEu+NGGMRjYwBoxRukMdxQ6K4hu9bDmwLnJ0Anw09qH6qsGR1Hh98+AmzZr7IHntMI5f3ugeiMXXYOIEXFBowbXUOrf/55tcJgoDrrvsTfuCjVA2BR7VWs3xDGJSKcRyParXaYHRNk4hqrUoul8dxXGpRTBAESGGo1coYbTK8zzp9BdQRg4KwyCuvzubV2a8zdepeOFLieQEqQylb3jCxorWmT1NxOWbPz09Xm/1fB5JVKsWYLkG2PfkPV9BpjW9Ja7WlSWRx/aRDGHikSdny8axQnI1Drm/b3TyrB91pd0jRuVsK2SAl6pEZb4XiVRoR+r714WWo3GmikI5ACpOhQ4MnJVolaANhYLH3XF+SxKXGhYIUXZSk6f6BBtACBLKRsul5GQ6lMUiR0bwmnYrRtmXlvqmD5HYrPY2NgTSpgUkJQ480qTYC/3vrB7ObeQbWK0xjYptssUkp7Y07daxxnb2fWcnCQWtDVKviuD650I5DrdpKGBY46cST6Ne3P2HgEUUVhJRI6ZImMUpZZWe0TxC4aJVgqHNyW6bHJC4hpOWmV2mC1mkXSoqVW2Pnk84yxDJwW8dgVFer2EI6a6VIk6QeGLpaY9C14wSyk7LEsYrEaIUnHUxaQxlj21QHE+ZTD1Yrv529L6WFje4k59IZnUL3a82uH0MclXEyKy+OSuRyeU455SSUBteT1GrtFgbOKPI5jzSpNPA7tbYx0kYbkqiCUim+66CSCIEm8B2MiomV9Ul2DQ/seoptWMGZwjfGUqjUT1q98ZCskaO3JYkCKT3b0DoGIKLHuCaB6GEydGm0Tkkbt8CralnPTe5pAXc9ojpSAh6uozJGwB6Xw0qPStPld1ZjNCqNUHUv1gpFpfHyll13fsbuyOWhfoC22Ip24VvA5FRpTKozLmZI0qQL6K3MENxXHIee+3NVSk9klLJa241BZBvbZ7GMepIM0Bzp+AhhGsRoNk6v6yK19VRphEpTgtAiaOs05Ut77GUZNaMqdcuwzvhXjw9N05iu+7kQohFcb4zCKNWFEGL1MmyUSjOiMQdtQJsER9rThZC2fKUUGNu2nmZuT88yyxkEnWNon5vQeUjs/Pu6lbdyYZ8y14RoEMBBPdvJaTACdFde159VUp8jDnGtypRd90RrQ7nUCihcx23Qx9SfanltFIlW1En+ut7a24iTpH4OWX79iM41Z7BKHiGyU7DIQIGtUaG1Aums9hn0cyvK+rV/rFK0Thtpb9A13Wxl0cZ0S2/Z6Z+qi+n6Ya/r1xNHtxDgYRe4tb7STuXSwy6/+uloXSdp7+vc0+IxkFk1dhFXqzVKpQr1lD7R8MnY7AfL761QOl2pH1bVllXxmq9E7NWJsrt6jVvp+RnNhZSWQkNaOt4oiu3FXuaOaFwwCdENAIrAy+eJarWMKiJFoImiFM/1EEZ2v/d1LafLj3YOrzgKq7I/DK4bArKRndJwjmVttUj0nXzSXhCidIxRmu4q19MYrBqvVKzwf2d7ujt+r3I+Z9a9Vep2c0ySGGMSlHK6rZ/jrKh46orLcuPEUSk7iktcx7NRJHoF7dqoW5fh6bIeRd1a76bKWuvldbXWYDQqc3840snC3jLdU/djroZ8/qO3Ac/zCIRECM/6HtK4cdmQJN2n4zl1aP7lyjKN3WtFEcL693oTs7fKGMusnEKxkKUWWo4Q35EZ2VV3k/cz+Hs+A6htT89wHBc3cLBAsw6FfJ5CIU+tViNVGpn5g13PI5fFZ4KL6zkIsfw4aN0z4ZgNzl55sdnPnG7HIIpWn74UOhdpncRK1J9hbHZW4jgg/AxQt9ONUKcYWa4OxuD6eZSqkKY1XNcj9HMZl4rpwlK5mnWTspEitzobnTG6kSQghAWgqM8VQcZt30UhmHrYla4rsJWf0d0YAD2up1WJIyXSXXmpa6MbMZfdPb/z1GWVeyFfwHECPM9fTr/Ux2JFRdWoc61GoVigUirj+QG5fBOVSgdOD/1cd+U4jlxunIWwwNFpknabjSdX0CnWpeZhlM580k52yspoP3qxt6+Bo7fV1EqlVCptSCmJajXrmO+KRL6cCOI46lYh1AOduxM/WDU3S3dSrVa6fV9rTaFoCdjjJKZcWkatWsNxXbRW3SoK1/V6jUDeE6pRPT6xe4XUgxWuFFHJ+jqDMJeFSdkjkUl1Q9HI7MgUxzG1WgkpFHG8/AKrO+m7kyiqrWJDWhnX8LME/df9kFaZCAsjaAxRrDDaWjK1ajsCqNVqltEwSQjCwB6vzXKHYtrbFhPmmlDKcmm3trbieS61amQ5U7rIisdNy+RnOk+syoac9UaMERSLzfaiJbuY0l2APXTGnaOUor2tHaMUnl/PZlpZehoDz+t9imtPZVnWTq/bOiSZn1trje95pElCFMckcY2yjrrtn57mgFKGSiWxR17j0LpsKeVSO/0GDKVSaltFzVeea1IKq1y70e9aa9JU2VNPdgrJF7oo8IafxZYt6mf01ZDPrSillMRJTPvSRbz22qvEcYxOFWS+jVK51IjQ7xSD73t2gS+3Y3S5XOlGkiTttUUZBH63CztNU/r3H8DcuXNIkpiPP/qYVKX4nk8tqq2kwOp/k6b1y5HVlZ6O8dDpT+rybVN/f4VSjJ2wvpCkBvr06cfSZUupRTFRHCMy7uVUKVzXOqzL5Qpz3n6bcrmNtIvlUL9h7qk/g8Drtg71v13+MztevbcoV1CUjoMx1se4eNFiHMfhtddeo1opk2RB1kmSdhsrJwRUKlUGDx7MooUL6duvHx99+BFhLsT3/f9H3nuHyVFc6/+fqg4zs7N5VzkigRBIxGuRESabKKJsLvaP5HTBxhiDbbjGAWObZEywsU00JhjMBZNNRkhEkbORQEIBUFxpw6QOVb8/qnpmdrUracVK8Dzfo2dgZ6anu7qr6tSpc97znqrtcHffZvU99PTp9bWI9HUvWgtaWgbT1taG56VwHJcwisA+a4HG9bxyxtDSJYrOrg57P2s+61RqTYVoypFsyK7KLVc4rP7clM/t7fqV+amUIpvN0t7eweLFi5kz511KpWANF5UQhmhE93jGWivq6upZsmQJDQ0NhEFIsVgwf7/zNul07xjPxE9dFZoBrLHQC4hea2372jUBKGXGZTrt09ZRBE3FALLbeinkeueGD8DW2/jD6uvrqatroFAwSkY6Es/1qG9sXjNgIZIKdb10uOrbwez2XLHWOV50nymBKlbU1taTzdbS2NhEKpUx1oDrkk4ikj1ESmFzvXsoi7WY8EpFVFLeKu0qRyLLirHioBdizW7RJl5HHBqLsr6xiWy2llTKJ7K4Tq2VdbsYa9LzXLK1dbbs6JoDQkqn12CS0n37aW2crrphABZ204f0FTSSmJrPGIe/0gpHSsOUrWPq6hpwpEesYtLptK1jLsulXyunVxY+psjlSowYOZpMpg4hoL6+nnzekMKWfWYIKnW7DcOQ+cZsg7XuOwjZ631gFJjjuLY0aowrEgxrMkckaHBch3RNDflcjuaWQWaH0svziVXvOxHHcdcIwiSB0Z6Ky1wbG3jpLR4ge7++nZ8qjtAIMpkMSgvq6+rI1tTj+1Gvz0c0rOmb11qTqanBkT4tra10dnbgp3wGtQ7mnXfeoaGhqepeqpRsErPqridtwK3vQJfG+LGV1qA0fsqjEHaAaC/XFze+blm+1PrYPQOiKMEMyEmTd0g+xQy6dW1T+xvoSJRe707rDbnGRwsWMGbMaIYMHU1ushZnAAAgAElEQVRPy2JNiewxDhXO+bU96erVtRftQmzPk5wreW5ryzLSJM/1tTffphREoIz2EtoAbj3Po1Qq0dDQwIQJW63jXH3J2p5D9ShOjksmztqttd7vJfHTVY4rFLrYauvJvXyvq17VbTHQm4lbbQPEjB0rq46P6f5Mq5+/S7Lf1ipESJfu06IvK7T3e2xbtYolS5ciBWWrRkiJIx1KpRKZdIZJW00qYzP77oO+rlft0+y+wFbe9xyTPcdfz3vrS5LnJli8eBFdnR2M33xLUunMOn7X23mTxSkZ64ohQ0f0+E3yO9njfW/nWl8RzPlwHh8vWWoWYuGglcJxnAocbT3O99l9lHa7XCoWiaIcaE0cmTzsvgIza5OEoFUkJpeorE4JyNUsBgkurf/qNjmH59cTlEp0drYzeEiJUrFoV9g+rCmbbeE4prh9Qt3Vp67UGum61neoKiUr7EoehqF9X/n92p6bAESsEK5n6tVEvVsdyQpdLJZM1C/KrzWS3R8RFm6RrM7GmBFl6M0aUURd4bPs+TkChKyUkZCONPnJpYIhSQgLpjxusWRzvBMcX/LYtc3KqvL1lnVWxRSRUpb9kHEU2+t4xiftOIZoV+nys5eOOT6qCt6Vgwu9IDWS6/qZeoPFtD4xYcdxWdXa4GZXVyfZbKYb1nF9RSlDM1iG11nr0kRxKw9AVK9PYgPSXQVEUYwjJX46TRSGJmgYhXiRXgMWB1grs8oEtG1wpFMek+XspG47Agv0Kc9ro1NUHCFkxW2SRKqldMvjJ/HLK40pMFiV4KJVTDpTR6lU6rW9/ZGBY2AwjhoLBhZ9Kpt1SWIyGwup+r57Qhk2RD1WpHpbZPTYuhWJwaXbbU6sCcPI4rP6sACtf6r6esoOEgMXsR2tAKFZr7WtCvjXNwqvWgaWn08l8Aqtu68RfUWH1/dzkTjutd0mJ31TSZkz15MIaZ6h1sJMDq0r27GyYtLlv6MotlwANqgSC5Rj2q+0grhiiSmty6xU3bKN+oCzlb/u85uex5nrVoJ2/ZwnydSqUsLl99Z/rBMlmjyAdW2U+rpUt+BH5Y+1Te3KGiUT1FrVN6bP0MqOSqvU0ZX7orJLFVJWzXkBUpVdL3YYmrOK6uuu0ZoBkc+fqqaHlB9MGU/Z17bhcxBhAclVVsK6mpbApKqDIInJn3BbamHX1DUwpF88MYHCSs+YBWyD18WBk2S2iEq7sM81jkPQBv4lbVqpgYskq3CVktUKpaw/GusP09o4AHQFgvW5SVm/anTVgxcIHNcx96AqC9kG6sgNkgoipPsVk7bYd1XfmF2hxJqD2hyrki2xEGjLSpVgbpMAsLY7iU017L5wijLJ2azIF0d5JNjPZJtpsGZirZCmREmarACJ1qq8DRZSGv8ilBXlF0Pr9C3VVr1ZxRMClI3fZrvMdLMakwljooBVbbMuAQTdLH7P88rP33Vdi7E0Pk4hrMVMhaPAtUkTWinDAfk5iwaEVZIieerJexuEKnv3yv/ZNDMogdt07xvbvuo7qDIIHMe60LTtPq2wFS7KW/DK+U2fVEDqumxVbuw7/MIpyuSWXdcpw4q0UuWHM1B1WfotGhzXtXpMI3Wye9RrgHalNAo1jiMSth+tLZeiMKhBpZWBbNgVUtqURKVUmRj4iyhSutZyUTaiummrRiaLUjIZHelYP1a1FWL9x8LMPt9PWYWokNLBccxkM1CSHlkrSRaH43aDcGkhyvjIz1cqLppEhwjp4DgC6bhI6ztPEgr6ThXu/1XXeUxi5Wlj8AhrJSbQpDiOjLUuAIuMEWCrjybwHYljLf/Euk980AZOpstwqyiOK4vERtaUXzhFqVSM6/oUisrm4gqkNIh63/fwPYcwDstO7I1jb67pO3I8F4FLsVAkXyiSSqcNBkxFaEKS1Co/nSGKBPl8npqaFBAbpakcOroME3dNTRbfNylcXV0ddstiBo7vebiecfr32MDwebsgPM+nFGo6OrvwPA+lDN5uU1auqLZSHNcjigVBoWQmnn2Ovu/huJooLJlFy8kQRkVyuSL19Q24HkSRor0jh7IR0JpsDZ7rEhS7EMLB9WooFPIEYUAURmSzNaR8geonEL2vm9hQVviKL85EkD3PJVYuXV05pGMW7MSCTqdTxFG4wTsUnWzvu3+61uPN9thF41DIGaigFmYOpP0UUAIEqXQtWkF7RzsQks1mLWBdUypFFLoMe5BhFYoJw5hcV5FEEWutqc36hGGpvBvbmEz7n5ui1MIyeVi3rtQKUEitEdLjwt/+lFdffQPpOAwaMoT29g6m7vdlfvDdM4idAlEcEgeRefhKgcXj9fQd9v/RCYT0kMTEYYgjDdJfOA4vPPsEt956Oy++/CqTJm/DQYdOY/rRx6JFEaFCXL+ZfK7AXbffwb8ffZhf/OrXbDlxIkFU4prrruLBBx8hjjV77rUfPzrjDJZ9upjvfOsEUplavFSa+oZGjjl2OgcfeBBhDFLHODpCaIWDIbjod5cJXXmtp+hkC6sTRkob3BAeV//xQu699z5Gjh5LEEbsvc/efPub38ERhb4j673pd93XF2ttGQIHszfTRHGBv/z5Lzz6yBMI6dLY2IgULvvsuy8nn/JNlApxXUF7+2ouvPA3PPPMLM744Y848sijefvtVzn3nHNo72hn6NAh7Dl1T77z7dNwpMBPZZm/YB6///2lLF26hMWLFvOtb32Lk0/6FlpWFE/vW/HyxrcclTXBCvOyoAdzjKg6dn1FGkUYBiU8z8Vxa3joX3dy5VVXkc3WIhxJa0sr6WwNv/vdJdRms+Tz7bj9XM0SCy4pMpe8X5vppoXJPvL8LI88dD9XXnEFQjr4tRmaW5s560dnM3H8BKKoBLHi3jtv5U/X34SUggMPPJBTT/0+6XSGX/3qZ7z4wvOMGTuWH5/9EyZutTVPPvkw1113PaVSiTCK0Tri2mtvZOjQZgqFPNmaDEEUmGCfaUxVZF0BMUJoEDHdcryrI0Jrkc9PURr+bKDK94TGdUzU7pOPP+Gtd96jqamZd9//gHkfzGPQmOEAKEzqlZLmJpVS9IROb8jaYrYzwrKKaJRWuFZZIFL86193cc11N7H15MncfPM/eP3t95i6194Mbkoh/ZAgCLj0ol9z9V/+xtLlyzjxpG+y5cSJvPfOW5x5xtkMGjKcusYGfv7Tc8g2DeXI/XZj/vxFZLJ1LP7kU9pWrGTK7pZJ26Cx7VPSCG2i5Bu28evfhKz0S/I7M8GVUrz1+musbu/ik5df4YM5H+L4KU468RRSntwAt0j/LWSthaWWcwhCwcJFC3nr3f8wqGUwH374EXPmfoDScPIp37Qpp2kuv+IXXHjhpYwZM4oLfn0B22+3A0EY8urrb7HZZmN5/Y03ufvuhxgzdgxHTjuOFStX8q1vfZsZT85gz732YOmyFSxdusy02IKZe2+5pvuzVj0+6+u1/lIKSqRTwjISeUDMpx8v5r3/zKGxsQmE5t57H2L8luM5//yQUhRaREB/Z8Sad7gug82RwhB4a0Xb0k/58IP51DTU89qjrzNkyBDO/PHZaGutv/H805x66vfJNLVQW1vHT3/6v4weO45ph0/joosuZty4ccx+6VXq6xu55JJLeemlV7n77vvYYcftyeXyFIMipWIRz61hddiOG0h7n73lzms0ip44zu47xy+oouxNBCZN0fcEPzvvV5x48mJGjhrN3ffcw09/cg777LM3Gk0xLpBx0obodqB9lgLrEK8aFUJAVGSvPfdk/JjRHHj4dC6/4g/85ZqbePiRhznx+OOJwjwdq9v5w+WX09Fp86otZGXmjKdI+zVcdPFv2G67L3HU4dO46Pzz+N4J7/PP22+loXUIl11xJX+8/Cr23HUX89svQOCgmyiFdCJ+fM7P8H2fN995l29+8zuMHj0Gz/PK0cmNKRpsGl+RWEXU1TVx2mnfY9q0I9lssy2Z/cJsvnHCiew0ZVf7A5OKecUVV7Lrrjtz8cUX8T+nnsarr77KIYcexLXXXs0O23+J115/mVP/5wzuv+8hph02nUUL5/PEY0/wgzPO4Ic/PIOPFsxn+IgRaB3zebso0ynDnxBGEVrncZ0Gjjj6q4yfMJFRI0ex+OPFnHDSNznyiCPIZrN05NqpS6cYaJhYb1IslZBSkHIj9j/wK0ycvB3DRoxk8pe2py5bx/ix4yjFJdJOittuu42uCP7v5ltoaGzklJNP4YbrrmPvL+/Neef9jMMOO5zrr7+Bxx9/nOXLlxPGIZtvPp57/nUPHZ2drF69iqFDhxBFIbXZWtChTUmMN4o77gulKLWFOOi4yNjNxrLZ+AkAdLR3EIURU7abgkAQBiF+yhAKKKXwPB8dRhuwPvcQu1XSWqEw8J3koatCB/vvfxBetglwOPaYY7n88r/QtnIFICgUAlyvhm+d8k3aVxe55m83lH0mqVSKTE2aLcaNZ5uJW9PY2ERnbgl+Ks32X9rd3OPqdtxMivGjx1hYZWKNWGycJX3dZHiIHqIBHRfZatI2gMMrr79NV1cXe+y2G67jEpQ2TZBNCkkQx0RhQBjmGDduHJtvbkoa33D9DdTV1bHLLjvbQIBCOqBiOPjgg9hjj73YbdfdeOfdNznmmGM57NBjAGhobGTkqBEoHRPFES/OfoYJW27Fj846m+HDhjFm9BgAwqhkUQk9LbRN1ylumbTFICZ0FDB42DD2HWayXN6d8wEr29rYd5/98T0fdxMWq3NdB9fxiIICLUOG0Dp8NKtXtRGXQsbvMJ6USBFgOCpff/110imf3XYz43+PPfbgX/+6CxUrzvv5L3Ckw8yZs3js8UdNoocCx5GMGDGckWWIlmb5yk/JZrOgNJEOcdbglRgY+YJVYTQs3To2rDcqDlm2bAkzZjzFlhMn0FLfDCRbZF3eBnXjJ7TjeMOVpgZtmJaRwpwrAcBLAJM3PePppxk+cgQ77bQzSuURjqauvoHzfvkbpu7z5W5n3HW3PVm2dAU3/u0Wfn3JRbz7zjuc84tflr+f/fKLPPH443z1uOPwfJ/AbrOTu9IWu9jXhm9TiVKKODQBqQXz51HfUM/WW21FMdw0JWsFhpjEdVzSmRq0Dk29IWUCLDfc+DdGjRzF5G0nGbeFI1EqIpVKsdnYseWzJEGHpcs+5vkXZnLhhb/jjdffZNphR+M6Hvfddz8pP8U//vF/HHrYkZxz7nl0duYM046WtkOqx1z/fMCfRYrFImEY4Xkuvu8ThkVy7W0EhQ6Uipn19NPU19czbuxmKGyO/CYqgZzggzs7OsrogOuvu5YoiPnRj88mUlE5mSCKom6bpnw+X0aRJMpuyZJPmTx5Mk3NzWSzWRYuXMix04/l4EMO4fZ/3oFSmtpsIwjw/ZSJlG+kResLZVEKsGlLBlclHY+nn57B7Bdf4o9X/5Ha2lq64pypUSMlLoJSGBFF0YCpkLKtYMHK2AibkC5Cx6BjisUcv7/0SnbdbXd2/tIUisEq0qlaHCLqGhophQkjt2nVqNFj2WmXHbnx+hvRaEaOGc9RRx5ZvuaMJ5/m48WfcOo3v43nuhSiUhVhxhdItCYMQhQBc+b8h6OOPIoxo8cQqGiTDCStNY7nEQYlIhWiSgVqahqR0uf5556ls6OT7592OrW1tbaapy2MJlgzeivgjttv43e/u5RVq9sZu9lIdtzxvwyrjop5//13+cdt/6BQLPLEYw+jtebC311gSTs+v9rrqZRPFEVlXkWAdCqF8DLMff997vzn7RxzzFGM3WwzCsUCaT9NSZQ2Sdu01sQqMhAyz7AC3f/gvymVSuw7dR8KpTylKCBdm2bnnXfmhTfe4+ZbbmLsmDE88cTjFIql8rNdvHgRDz/yMEdMm0ZNpoZhw4aw5cQJrGxbyYynnuall2Yz5b++xPjx48kVVxPFkU3i2Di23xfMohSEFnuY1Lf++OOPKRZLbL3VJKSURHFofGJ2xSqTD9DdklTCvPoj2gbDpLUODLRBEFuYhOM3gHD5wx8uo23VaqbsPAXPdfF8Q6u1clWbOU8PduzFi+bx9pvvse/+Uzn48EP4eMF8/nX3XQAEQZH33n2TlsHNjBgxnFyQR8Qm0p0Aio01mZA8fI4iBKlMI3PnzuHe++5lh+13wPO8fnNRbvjlBaElba2rq6O+vgHfNxPy1ltvIY5jTjn5FNCKQqGLKIoIg9UIIaivN4XHtI759NNPCcOQffbZlx//5Ex22GEyH81fzIKFHwCKKAzJZGo588wfMnPGo4wePZIbb7gWsOUQyt37mZ09/ZaEH9LzvHImVxxFSMdl4eJPWPTJUqZMmYLneQSlEsWoOKBlOtYmKUuZVpOtJRmr+VwXW07eCoQmEAE1llDj2OnTac64nPo/pzFt2lHMmTOXYcOGlol833nnXZZ8+ilf+cpXADh82jQeuP8+7rrzLi6+5BJWLF/BzGdnAuC5LqVg4y4GXzBFqXEdF+G6uK5LKSjyxptvMHnbyYwcORLA4AyFIXENQ+OTcDZGTW+799WJ9nTT4KZZOP99Lr7oMrbbflvO/em5BJEC6ZhtjmUV70kDdd7Pfsb4zcdx3V+v4Y5b/sGBBx/Kz3/6YwDmvP8fnp75NAcfdBCtrS3U+OtiZvk8RSMIWLBgEYViyORtJgFQKG46i8XzDNuP1opSyWxDlYp4cfaLaKBlUAtaCWqy9XheCs+vI1aKFStWAAm1nNnGT568Iz84/WwefOAhdtt1Z6686ko6OjoQUjBx4lYcdNBXGDx4EFP32ucLE1uLlSIII5QyFIJCCvxsI1opXnrhGQYPHsRWEw1jVDqTJlaqFz7YjdQ2yxUpLRxnyeJFrF61mt/+7rdIJDV+lpTj0r56GdvutBsvv/UWp//gNGbOnMHpp/+At95625KKxNx++20cfvgR7LLLrrR3tJFK+QwbNorm5hb2329/xowdy4cffIipSGnKniRkNRtDvmCKUhgT2m6TXn31FW6++RamH3sso0aOoqjyqCgmjkI8p0KVH8dxOc6RuI96upHW6+rC1DaJ4sCWPFAUgwAvnUV6tXR1dnDE0ceRzmR46vFH8TwP35W0r+igfVVETU1jchvdZMGCBTQ3tTB48AhSforNx48zVfiA9+d8yPz5izly2pFka2qJVIjEWJNltgMESkjU551njACZIZ/LMXXqXkyZshOR3nRWleGpMEEurU02h+/X8fTTj7Nw4UIuOP9XxComl+uis7OL5cuXorWgkM8zZ84cADo6O9hm2+3KVrCUEj/lg4CP5s1Ha82ECRNYsXI5y5YtAaCtbWUfTPWix2vji+dmaGtbiev5OI5vCJmFYOmST7n0kks5YP/9mTJlp/LxrnQ2if/UsMx3UF9bR2TrAD355JMsW7aUKdv9FwC5ri4++ngRNdkmnDhgyPAx/OaCi5g4cWtWrFjK3l+eSmNjA08+9Th33HEnBxywL0JIMukMrutTCox/vCvXRalUZMSI4WbOaoXreIThxol4wxdOUdo0QQQKj/vvuRtHukzaeiuDhNrYTmlNmTghCkO0NlHGsFRE65jf/eYXvPbaaxz31WP5YN4iZs+ezdKlS/j2d7/D9OOnUSx1ARAF3SfVLrvszPMvPM+VV/6eV155mQfvu4eGxga01rS1raR1UBObjdsMgK6uzo17j59BkgypV156hhHDjdLPF3K2BO/GF63B9306u7oIghwpv444jnjggQdZtmwlhx1+OI7jUFtfx8UX/paDDtqLFSuWMWz4CO69536eeupJ3nj9dSZM2JqXX3mee+/9P2bPfolLL72Mp56cyeFHHE5jYyOHHHwYCxcu4oknHue5F2bz3LOzaGpuSlqxSe61L1E6MFFerVA6xkvXoeKI+R+8z6rOHGPGjkXYtNhCoUixVNwkFqVG09I8mCAo2etJHn/iCbbdZhL1dXUA3HDzjey791Te/887vP/uuzz98P3Mnj2bCy/6Hbfddjtf/dpxpNNpjj7qaLbddlvGjduCF198kVIQ8uyzM/nnHXcye/Zsrr/+BpZ8uoQ99tgDECxfvhylwPfS/28EczQaP11De1sbMSkef/wxNt98HNtvvwNRHFaYeOh9HS9bkiT1r/t/fUdIlFDE2vg+pGPzhKM8Hy9ZjuMIrrzqaq646moArrvuGhpqW1j0yQLDk0cFAplEgn9wxpk8OWMW55z7vwSlc2gZNIi//vVaoihk1qwZ7L777myxhYFC6ThEardHu2xt5X7ez0CLlJKOzlW88cYbTNp2CmDB/sLprYTJwIuAMAiM+8Ux7pnOjpXMnj2bIYMH09zcCkBH+ypefe11WlsHkUqluPnmv3H00cewzz77cthhh7D9dtty3fV/4X/PrSAPtt9hG6Yf8zVKQcC220xhyy3Hc/r3TwNgzNgxXHzRReZ+dVBloSXZHWLT4V6VJluTRamIsFgwqZadbcx4+ima62vZf+8vE1ueS8dxcNdSl2egJZdfjeN6SG1GQ65Q5Nhjv0pNNkspLPGft/5DQ009Tc0t3HHDtfzo578GIJNJceRRh7P/fgcQRREdHTlefPFFvvSlLwHw4uxnmDXrac77mTne9TwOOfxgBrUOprOznebmZnQcUiwV8DegptD6yBdKUQLoWFEsFmlqbeXkk08iH0SMHj2GIOq9PMNAixCG47CaLtDzfbSC6cccxcQtxlNX38zCxYuozdYydc89ufOfd/GNb3yDlJcmCAP22HMqZ//wLMaMHg3AlhMncdNN1zLj6ZmUAs3kbbbnqGnTUCpm3333wfVSZGuyFEudVdUTv3iitcLzHP77v49j5OhxaK3xUymKUcimCOcIIFaabLYGx5UEQSfpjM+hhx7MoJZh5YDNy6+8wqOPPc411/yJxsZmdt5pV/72txt59NGH+cbXT2Tw4CEce8zXQCva2zsZMnQohx56CBO2mMTK1Z8watRIbr7l79xz779QsWKfvffhy3vtQxQXbVS250DcdBCFKFZ4Nqfd9UyxOy+VZbtttuHMH57OTrvsRlAq4XmmVlDKS1EqdtrfbFxxXY9Muo5SPo9WEQcfsD+77bknAJ8s/ZQnn3qSQ/f/CiNGjOKY//4GQalAB5rNxo7lyCO/RmtLC7l8J+ecezaNDY3EKqY2m2XChEkMah1CsZgnDDXjN9+KY489mqaGJuYtmMPY0ZsRkdRk/3/AojRg8jzNzU14vuS7p/4QU89Zo4IY6djUuiR1tuq3ny0xrKoNwpT3VBbMHoQRaSlBSw4+dBoHH3pUt+Nznavp6FrJrjvvAUJQCApMmjyRiy+7hDgMiaMCqIidd96bnXeeSlKSIIgifBdOOOFEYiUIoyKr29sY1DqoqsJd9R2WUZUbeGefXWKlSGUaOOKII/EytUTKEBdHm2gRA2xNmhChjCsmnW7g7LPORcVRmV8yjmLGjB7F2LET7K8U++17APvtewClIE8Uldhiiy0599xfVd8dhWIHddlaSmE72207ie233Z7kxsI4TxyVKBPSQpUTfNP5KLEuKEdIXM9DRSX8dJoDDj6crxw6zfI5mnzyQqFATarG5ptv/JEjpCBf7KTUlcdzXE446WSCKCSIAmIV09zazJZbbw3A6LGj+ekFF5MsMhpNodCO47j89jcXdztvEBZobNicC359afkzpRW5Yo4Rw0cQlELaO1fS2tJKYEkyBlq+UIrS1Ds2tX4LuXY0Lm4qhVLaJudvhK7uQdFUFT8BIIwinDDE83wKpaKh9dJQLOapzWTx/RT/+4tz2WzMeFasWkl9fQPFQmAAzwAUTHQyLuE4aWItyBeKZLP1aCXoynfgez7SEaTTGVtsS9vnQbkxWnT/1HyzieFCWhMU2ssuBaViSkGI67mg+l9vuv9ilLIWMR4OWrqUSjmUcnCkwVdqJNtvvz1//cuf2HLLMcRxF6XABBdSfoo4jgijImlRqTuvifFdj1Kpi/r6Jto7V1EMO6mtqTOVFDUgjQtElGs7VCvHTacoXYvwiGPDjxmFJWSxSLqunjgM6exop6auniAyAc5QR7iOZ3OdN66EYYgQgpq6epSCqJAj1JrQEQwbNJTzfnkekyZMIo6L6K52nLp6CsWAVCpFMSjiOR7FoGBK0jo+pSBPOp1l1eqVpP00NdkscazQuHieYwro1aQI4xKO6/QTWN+//vq83V5riOe5rFrVhuv7BGGRXK6zbEkOpIge78o0+lqZmsYqxnVdWxPalPYsFYvEcYSUIDHsy54j2W/f/WloqTUF2LWkVAqtJaxwfR/pSBAxYVREqZBstpYoCimUipjJH6BR+K5r2Lg/672VGdV7v9sNFq0JgyKO5xCHRoFEcVTGvH5WSYiL+26tARSbCVVEqRgpFUoXkcL0UaFQoKm5ib2+vC9NTY1EUcGy7YSEYUAURXiORz6fM+VVdWz4TrXC9cyYS/k+WsfkCh1IqQniIkIkC9j6LdbreuK917tft5hKlAYdgpSkrKsmyHURhQE1tXUobThN6+vqyOVzDBRYIpkjfbVdShfP9fBch9jWMZcCQykoNAfufSBjRo8ySSVCQhgCiiAsIjD8oa7jIiQEQR5QdOU6yKTTCAfCsGByuaWkFAb4vk8QBigd01DbSBSFvRsPAzD8B2SEa6UMxZL0DT9jQpCwlgaKKvYOE3wxvRkpgeOlcRyXdCZDnNDa6xhZhfcpM4El78v08OasUnf/fs02g2HFtgSn0imzlQth6qtobeEVCNAK35U4wvjqXFcSx4pYmW2FdhQ1vg9xSMoH1xVEYWRytIWDdBzrZI/wpSLUJTSm7rhSChVre03RzWZM7sIwQwnDAO84CCGJlDIFsLBkqY5ECkGhWCDWysBecNEYEtT1lUTRJkW8knKuQgrctIvne6hIIYnJOAJHBai1jsY1v0viH0JpE3gTCbu4AGFcH9IW/lJoRMLYI40rRitQwjGT0/GMIhMKzxHEoQm4SCFRscbLOIhQEGFwh47rIgkqPZ0AACAASURBVKOYKI5JOSnQmihQONpDBxrPT4ErCYISUSRwlAeBxNHCkATrJGBoe0qCY8dMYucXwlKZ2T6pXw4JZ6ZFU0Rrr8PTm2ghUVqaKo4WcyyVqXeNMMxKQRgghcKR4AkzdnqLfBuC496vn3AegFPmf0zGUPK+p7iOb55lUgBNCGQcI9CEYYDjOagwAq1RjodUGs/3rSXqlLNytNLESuG4Dioolf32RhGCVhFxVMJ3fRSiXIBMazN2yjWDJGAXUMdJ6pRrey1T1kPQe7ngNe5t3YesQ7TGcV1StniTKZeQQsUx0nH6ZISu6LzqDnRQWpOprSXWZqKYcalwy/VOehelVPecbyu97daFEOVax5maGrLZLFq7lmEcHOmbQRRTjjULIXA8aRSHzSNOVtaU8MoV4oSOcB2N1hHSMVskhERrcFwf0MQqwPMkAsfwE9rzrFG3vPyIzU1IYctJINDSIZ1Jk0mnyBWLlvXZLOFhYKrXhWFoXAfCRct1j4bydexz1uUSCpWtpSMVWgscAYKYjAfoiFA4vVoaCXt7b2IUvKl8KLD1g7TES2Vwo8D0qfRs1cSU7ZMYgUParTHnsEiIhE3e8yveOK2lSTlE4deYgJzwDSwik04T2QJvCIkrXPO3wnCbOpDyPKQGKY1mdAChZSUDzM4xhbYLv3Gce75frvxoipdpsNyO2rY5YR8XQq63dWki2b7tI8PqHsUK4Uoc16RWmsw2U2JBRQFp3wD0k1oziZg5YBaXntfXlhTZ+ELN85RClAk2Eqb+NURIuyOwlrfWuK5AxSFZ30FFyW5JoF3XOAOU6jY+Ev4GxzHEiel0umpcJotRRMpzjXtLCITjorRR1NXnMrV6JHGoELgoZSqsSschjhT0Y6f6mRWlEAIVKzryORZ89IEZrJ5XDkj0NUl6A4MnpWp70/DVDMZrdCxV5VN7Sh+fR1FEY2MDua5Oli1dRhzHqFiZ8qmq98HT++AQSKW7tTmZSObvitVRvkcrUji9rsx9ies4SKUpBiGu5xOFEQKboSHMRJHSFKz3PJd8vsAnnyxCr2dZ1DUUpX117yyjEGTSF/ao2NZ/XsPfi+6lDpJ9awH+kARpzKRpazP9Mf+j+WbCCIHruhSLRRzR94LZ17APnKQgqhFpcWTleiva1Jspt1toIhmVA4aW9hRHm1IQSf/GthlKmAW5sb6BXK4TAfiuTxwrVBAiHMfeB5QKBZYvW8aqtsQK6mNc9ZCkb3TPeuDakgGDLX9hn0N5rpjdU58OjT4WtySnXaNJp9OsWrWCjs5Oli392BZa64WlXSYMV5XE22ovrvGzV+2YhOjXTmddIoSolPLFpnv6HsUgX+7/6mtXLP11y4AoyljF5PI52trayOfzpNNpOjo6cF0H3/d7naTVyqT8WWJ99KEoE2ftGgNLgI57H3DCMv+sca4oIp/LsWzZUjKZNFEcUSqW8FM+QRCueS7dR33q9VaU1s2wgYpSa21wnVZR1jc0USqViLVRAoZ+LMR1HRybAqqUoqO9na7O1etX1ztRlNaSVDopXpXcK9hC2nYxrvjsVKJo1tSUSEesCTMUBs4RRVFZESqtcKSko6MDgNWrV1MqlcqL74oVK8ikM6R8f40Bbqyc3m+rZAMZDoZdRtgOEkL2T1Fi6n+XsbrWIomFxhUOUalER3sHfiqFBFsz3BDKOo6pX14KAnL5PFEYEARBecu8TkkCaNWlkc0eGOHI8t8kO5SqeuQq1qzZAbYPeru2PbZYLCIdSUtzM21tbXR1ddHe3k4QFE1GUA+JyxwHOlkHu19Omp1VeTgJa3EPgCS6I0kfFphFLZ1KUSoFSEcSqxgppH0l1vz6leX4zIpSa43rujQ2NDJq9GizRbH+O+N/6Y1xuHeLEvq2QEWV9bHml/TpZ+hrx6mUoq6ugcWffMLQIUMZOnS4CaQI0fuggt4VJZWJ1G2lTLZ/PXyp3RvaPy+zFAIdRoan2fGYO38BrhQ40rE+PbPIBEGAUjG+7zN48BCGDmlFrY+irGo/9OWHqij3cuuFqZ3dp2XU2yMVIBxZdhk4jmNJVx20NgGu0aPHlItMua7HyJGjcYRRQD3b1ifbkqgoykS3J75uKe12W9sa8lSQBbE0jFRa6zJ7vkx8dYlFWW0uKY3rpmho+IgwUsRal7f2pgZ8iJCSmpoampqaSPlu31beWiSu+kmiEmxDyzRj1baTsTQ1vY41rXttgdYa6XjEKsIRklQqhZ/K0NnZxdChw/B9r9csuZ7+1l7Wxu4LL9ZtsYGBrZ5tTs4jpFnQlNL4nsfc+YsQtJWfd1J8LlbRevknYYAUpbYNGjx4OBADCiFc0BCGxV6VX1+Kss9HVrX17o+szTUn3RrSqQz19fW0Dh6OigumLGkfHdfXqcq8PlW/SwrdV5ROb+fr3/0IBCKOka4PdmtUCCKULdXqSLNNDYKAOIqpqcnQ2joUx1GoaP2LYpVLHSQDL1EfSuN4LgmGqnphUNYy7E36ukst6a4oVYzr1LDkk2XkCu0MGTzcBK3iAo7jWX9x3OvD1Er1pScJynlDVuGV/c4VJiBh/2lrmWknLn9X7l9d2d5CRWkJsPVlMjQ0NLFq9SqKNsJufqatRS+ora2lddAgsjWGCk73My1X9QqRs/2UjLWe3+i+5pXutXOMovQBhZAuIFndkSOV8mlobCWT8VHxmuOpEiPo3o7KhkSXMZ3JpbX87Eqyut1AeUut0XhOlgWLjCvHdV0TeNUG5SDV+vuHP3swRwhipQhVhFIxcRSY6JTE4LfimLgXP0BvW2/oPfhS/Zu+m9H7l2sLKvoulEol8vk82GJiqq8tNnZR6OFT0lrbwEbVcVDFf5gMmjVNnn4pSnuoay5a9hG6jgTh2chh1fFC2C10TGz5C9dXuteEqfI1acqWhLLqQ9mLOmvD6fWxwMUCtFblbZLxDZeI4sCWJY2RTmz93YHxxeneS5OKtWBgYh1XjtHaIiwEotxmQbkHE5NHVxRluSd1dytbVXWx1BpfxoRRYBhwysEaw9rv2slbLBYJSgFp30DI+stfoLoli3YfY9WKsvqJmx1PX2Ot93kTRnniKCKV8nE9G1DRoHVEFGgDT+ohjkjscWl3Efa5li+RjKVES+ruroTPKMn8TMrjKhSeExHrqpLE3QiX1//cAwOAS0zZKABrSgv7INYsd1n+SR9mf/XgtQXOy2N4TV9jXwGe9Wg0YCLNrucCUbkUFFqvce6EFTvxM1baVTlOl9WhSIyusmKtbP7sIBGgUdZXJtZLaTpCGvymUsRK2UVFoLUJ5mgVo6WJGDqOQ1AqEUUh/WWh664kk8UrsSpjtIZYehWlI8RaA4h9WpQJ/kiYTAtlsadCaosVLCGtX1EK2WPAJMqhMkG6OTiqxo1MDkxMK+t7TY5Z0xmioWpCl51HWnSj0CsXJLDnBIEUDr7vkfJ98kWT8ug4DghZhp+ZGuMblh1fXfmx2mKrckuW51xyf0rrXitGGhhYH9fBWIjKIg0MKa9dcKRE9EL2GqvQ1lU1M0EhQeiyBW/Oa8sK2v5KfNvG7WGNkPL8svOiYpKWbzj5rrLnqRyn7LhKeGpVHBtEQGTq6kjpWnSOXG941meHomrjM/JSHtIxTuvEiZ3cW28v2cfnvp+iVCzhuo7FF9qtll0pEiUQRRGuawhzE3bj3l709bKNT+jOVLnwvUOpVERpjed55HJdYKOAWms8PwMI8rkupDDtcT0XxxHkcl24Kd+Q/cYG82W2XC5Lly4lncqSTteitKBQKJqOTJSsUqS8jI1k9/5Pa21WR63sRDd+sDgyUCdlJ2EqlTJAXGV8e9YUWO9XonKETvCLCqnNy7VF613pEitBZ75I2kJ3+nr11s9gJqIsjxMLLXOMf7tiAVC2zAzuzeDikueW1LB2XZeVK1cCAsdJmX4TjuErdVyUgvb2dlJ+mjCMkFIQRgGe5+FI49xXyoDOS6WQfGeRFcvb8FNpwySlNLiyW13FRITGbl0M5CYIAuMGAQvDSajhKAeusP3Xn35Bm3hAHIZIKXCkUS+uIyvP247lIIyI4hht4Ue9vkwjen1JKctBvWRxqJ46a/apoJDLI/0UKg5N4FE6COnieD7ScSmVSqA1QalkkkhserLx3wpSfpYFHy3AkYbFXUqXQq5Uvrcoimw9+ZgwDMikMjhOmrZVbaRsKYhkLFXfYzqdNsodM96iKDLlJjTrvasbgK03UNWo5EH2HEzrdSoh6OrsRCmN42ZwohgcFz+VAgSdnatwXMcMbschDEsm3zeV3kB6fkFFoVba4Lguwn7uOob3MFaKMIwIgg5q6+qQToquzjbjXlAhtfV11NXVEQUl4jDGS2UBjecquvJdDB82muXLlxArRWtrC+lUE0qXDK2admhsbKFQ6OoTJZBIWfFYTEg3DFrVNiep8yOlQEX97YluV6S6N+M4xvU8hOvhemlyYUSuFJBem8+kT2t/7YXr18wwMu0RQpisjCAgny+gtaZUKjFo0AjTNgE1NfV0dXWSTvnkCwVaW4cihUMQlNDWj1ubradYzJPL5WlqakEpTVdnp1FAjsOgwUMpFYtkMg2Ugi5TS9utYF2rb7lyDwYsbfdD5XsXyTGJFav1Wvu5L4nCACEFnpexJSHyxNqAsbPZepQ222IhXdJeGoUiKhXYEFegNfa7KVd7s70eXV9XC1FAECpq6tIUurpIp7N05bpIpVKkUmlSqTQqjkBIvEwtjnZRnvF3RlGJoUOH4XkpkArPSZEvLMfzHWpqGvjkkwU40kEKj0xNDQsXfURTUxMtzS0UCgVE1cILlOeCTMgyys3vfwDpc8v17rWZWpGtbSQMi5TyHaTSGbTw0XFILtdBTW2WWMWEoSkHkdQOcR2fOC4MSLu0NoEpFRtQcDqTtkoHstmGMtef40B9fSsQEgZ5dBTgpmtBx7h+CgMyNxg3ncshJQwaNLSM0TRwnxoaGwxwOoqLBGGBulQzQZgfkHvZ4GfQ7S9VLkshAKemlWSBibRmUGMDXaGCAUi9XJ92CSHwPZd8Lod0POrqW0yEUyuEkGYyOZLWlsE0pYcQBjmamuqJwiK+X0McFRFE1GTqkdIllcri+zVIKclkPEIVkfZSlApdxs2BgUul0w1oHRNG+fKGL5mSQncvBjtw4Yk1xUT9JSoskM/njQLKNGL6xKQNek6GGM3qztVEUUx9JkX/zZb+SxSU8LP1NDQ1EkaRYZh3Perrm9BRSGdnO56EtO+BkzEZRlIitCkhEQRdpNMpCsUcmXQdSilGjBhNEOTQOmDQoCGkU9lyYKy1dZAJALoZoqhjo/JufqFIMYSQtK34lKbWEQg0zz83k5kzZxGEIUcd8zW23noS0tEU8isBY1J7nkcpGBglmWR4uK4LQthcYomQEj9Vg9aCxx9/mKeeeJxcvsA+++zNwYccQSZbj44KhIHikX/fw7JlKylFEfmuPFtM2JKDD5lGoZAnldLccsstLFy4kGXLljH9q0ez19R9eenlZ3nrrbc4+qivsbJtGXV1tQNyPwMtIpVBRSFPPfYQL7/9H6bstie7/tcUk3G0qeptaay/TFFb38Cnnyzmscf+zfyPPmLkiJEcceTRtLS0sGL5p9TWNZPP5WhuqWP58pVce80ljB49hulfPQ7HcXn5lRd5+OFHKBSL1NbVcdxXj2PsmLGsXL2COs8BIVi5cjV33vVXmlta+cbXTyKK5QZZggMlAuNzDEpFyzdZTxiGfDjvPR5+5HEKhQLb7rAje+/5ZVrqmmjPdRqLahNUYvRra1n68SKGjNycefPmccc/72Dydttz0AFfwXcdlC3fka1r4p3XX+SB+++jZfgYOjraqcnUcNhhRzJixCgAZr/0DA899BCHHXok2223A0qXcJ0Uzz0/g38/9DClMOB7p53B6FFjUMqQE1egUQMvn5+i1L2svFrT2NCE67o8cM+dHHf816lraAINv/jVb3lx9jPsNGX3sjUphcRxHQqFgiWv+OwSx8pkYlkbSiltSR8cnnziYb721ePJ1NTgOA4vv/Iq22yzHePGjUK4KTpXLOPEE0+mqwijRgwnjCJGjhzGwYccQSqV4eKLL+SXvzyf4cOHo5Ri4aJ5jBgxkq8ffyJz537IlC/tzrbbbkuh2D4g9/JZpeJ/soENp45XZj3CiSefQiGUaOdyzv7ZLznr1G+D9S1u7PZou7VsaGiiVCpywQW/4Oo/38C4cZuxbNkyrrrqSmY98zyeZ3xWzS2thEGR3/z6fK69/iZc12HR4kWcddY5nH3WWbz++lu0tLayeNFi7r//Ae679z5am1uJCh24Xorrb7iBn//ifMZvPoZvfP1kpOua7W/V6K32u25siSwe03UdUn4dwvF47NF7OOOHZ7JyZQeu57Hk0yVccuXlnPm906nNZgmKOTaerVWRQj7H0FHjWbhgESef8A3mfPARbW1tnHH2Wfz+wotoampBx0XA4ZmZMzn3lxczbNgw0uk0bW1t1NRk+f/+v1P4+ONFfPc7pzJ//kIuuugSXnxhNttuuwPvvvs2X//6CXR1FYjCiOeefZ6HHnqA+roGpGMDM4m/YIDli8UepDVuqgalYq659jrq6hu5965/cs9d/2TI4EHccfsdAKRStfi+T76QNwnvA2hyGwe3odl3HJM87/lp2lYu5+e/+CWNTY08/PADPD3jCS668ELGjR9HWCoAaTRZSkHEMUdP47XXZzNr5pPcffe/cF2XZ599ll/96tccf/zxzJgxg4cf/jdnn302Tzz+GHPnfmj9KJtquvVfhBSoOODSy/5Ay9DR3Hb7bYwbM4ann55BEIblAMVGb4cQCAwkau7cOdxzzwMcsP9+vPjCM1zw65+zcNGnzJr1NA2NgyjkO1AK3n7jVa646s/86MzT+c63v8kFF/yOpcuW8Yc/XMGf/3o1L73yEiedchLPP/Mcb7/7DgBupp5VbSt5+N+PAIYBB0AgN8Emtm/xfBdHGnq4yGJj582fx5Ilbdx8643c+8A9TJg4gX8/+BD5QoFI6QEt59yXSClZsngx4PHmm2/y3Asvc9kVf+CQww/jDxdfQi4IkMKxiQ8Kz3Vpbmniyace4bXXXuaWW2/ioIMOAzR3/t8/cByfG2+8hrq6Bl588TmiKOS66/9KV2eBO++8jWuu/ROvv/YmjzzyKOAShXG5dtZGub8BPdtnRdgLASoAG+EaOWIkO/7XTkzcehJNTY105Uw9GRUHeK7xI0ZxaDJSPnvjAfD8JFAUVREJSJ597hnefPMtLrvs90yevANjNxvPHnvuTRQZnCJEJDnnTY0N1Na2Mmr05gwePBytNc8//ywjRozg/PN/zbhx45g8eRv2mrofI0YO5ZBD98V1ZZnJ5bNmKgzcWKnCvdmo7bKlSxg+bAQH7HcAE7bYgnyhZJ/RRhqhes0/pSNQqkQQBCxfvpyvHXccrYOGs8uuu1qspDmuaOE5c+bOZcTwYZx4wgkMHjyYfL5ELtfF9tvvyNem/zdN9U3sseceuJ5Le8dqwNSXv+6av7B6dRubjx9bLotLVcAsiXGJ9Ylc2t981iliCCtM4TulKgTPNdkatttuR3bacWfGjx/P6tWr0HGM0IahZ2Mrd6UUY7fYAoA4yNE6eBA7br89h047ksbmZla1t5fbj9bU1GRI+SlGjRpNXV0DBx90OIMGDSaKIq6++hqam1s44ojpTJ26F5dcchkrV65gxoyn2GXXXdhr6v4cdeR0Ro0azd133w0Ispk6E3jdSG6RAVOUCRO5NtzgBiNnOeZ6f2FGTY+XtlRWO++8E/Pmz+fWW//O9dddw4IFizjm6K8BmlIYoXARjofWBpmRnFbavF1p/+77+mZ0CyypgLDFy7QlcdAKFUf4nrGU5s37iK6uPO+/P5ef/e9POOusM3nrrbdwHR8tXZPVoxXFkuLRx57krDP/h8svv5hVq1YQRSGLFi5i+PBhPPnEo5z+/e/zx6uuAuCwQ49l+vTjCcOoKoxqrEtdPSPt/k7b56YrD75b9FVoi6Ozx2qL9ezPS2us1WbhMNqcQzoO06dPZ/HHi7np1luY+cws9txzajn41b/rVL/tqWkq/aNFkglj32NwfVEpYMyYsRxwwAHceON1PPvcTC6++DJqamqYNGkbAFpah5RLIgwZMoRxm09k+PDheJ5LsZBDacW7777NrFlP89gjj9LU1Mhmo8cCsGD+fP541dWcdPIp7L3f3nzyyVIAUx9TG6ozXQYEJL4xUYbQCJtLnNyosJ2hqiE2yb334xWWQnA8fC9laM2AiRMmkutq54rLL+fm227htVdeY/8DDiSdThMkNIL9vE71HEn6RCTv+zg2wWpGcUQ2kyaTSdPa0ogjBVGpaHrPPBxWd3bRtrKNE044ke9891s8+OB9hkRZw9w5H5LJpAAYNnQ4c+fOI5fL8/Enn+J75nMpDZ/BvHnzbOt0RY9Q1ewBWsAHaL9klaI2eL7y+7XoYY3T6yonMJRO//2NE7nk95fzo7N/TBjFDB8+lKlTv2xUm1NLqDWRdmwerqCcK2L7MgEqx846/Gb2R1rHIBQqUjiOwJUCHZooHkCCPvrHbbdSX9/EzFkzWbGineuvvxE/VUepmMN1PXbeeSeEhMcen8H771/L66++wZ//ei3ptM+rr77G1Vf/CSkE1113HcrxOf3U7yCdjFkg7EBT2sByRbdYqirbdxUsqgH2S6CaW8BkJVRHYvs7WARIiVYSrQQyQcoJhyOnf51zzvsV3/nWtwmV5ujDDsKzlSr7L4lyrVayqtvLKBvzvUCYvlVQLOVpaRnCQQcdxPe+fwYnnXwSc9+fx2FHHMaYsePMXbhmUq1YuaqM621tHURtbZagGFDI5/n1BefzzKznWLZsGV+dfgxbT9wK0Pz7gfvp6OzgwAMO4u0r55QnnsYlwseEDpItbSVQ0h1raJIAkMYASL43z1KidUj3ePm6xZUuKlQ4wrgCtFLsOXUfRo8YwV//ci2NTU10dnYx/aij8TyPMIjMotlvhvPqfrE8lKJ73/SUKArxXHD9LIsXf8zMGU/x7HPPkMt10bbsU8aOHGUXXk3T4CEMHdHKqrZOHv7349x/30Pcddfd7LrrrgghyGRqyucst0d1z/HXWhME5vtYmVrnBiI38LubAd16iyTNoZs27+PVx6pk8JCaxYsWEIQhO+00hYkTt2D58hU8OeuF8nm1Muh7hcb1ZNXqZ1a+CpC0j+ubdAprDSRtF4YNOo6qPktYWMzZpk07gpv+/ne++53vctfdd/PoY4/iOD4KSW22jt///mL+/Oe/cNfd9zFx4tb8/ebbAKirq0OriO9973vcdvs/QQiu+cvVlSZ2k6otb7eVXfc4aj23Gf20IhL4kraWrCinmWlef/UlarL17DjlSyilefm1Ny1Jxzqs916tlepxskaj1/xOgI5jXD+N67oEQZG5c+bQ3NzIbrvvxugxo1i8aDErVxlURL6UR2lFR0cHxUKBQj6H7/uGRETHuI7LlB13ZL999qK5qZm5c+eilGbxwoVccOHFHH/CiUzaZjKloFTVhKr8MAHajrX17InkMVJO7+vnS3oexVwOkfIplgJUHPLeu++wcPEStpiwBbvvvjvFYoH33nsfrU2KrtyAXUXPPtGaqnzgvnYiiihczaRJk9hywmZcesklPHj//ShbMBA0QkKsSuy6+67c/Pcb+ftNf+faa/9KqVjiwQcfsHhIqtihTDuEEKZMb482JXozDMIyOfLGkM85mKN7vEzphDiOOfvss9hywgT+/Oe/ct1119PY1MRFF11iszZMISnXc9A6rqJq6nm+fg1fQCNdB41CCAXSYMOqZb/992fs2DGc8s1T6Ors4D//eQ8ARwi0Cth51z3YZttt2XzzLTjpxBOoratDa8OzOHmbbdhv/wMYP35z9tlnKtqulvlcF2UkMsn/1t72apD8uu4p4ZBc/1fVNRJLTkiiMOCcn/6ELbeazD3/dxeHHnIwF1/6ezo7O3GSDKANuE6/xfFI1zXx9ltvcf0NN/HTn/yUqy7/E1f98Ure/8/73HvfveX2a0ygIVYmQNfZ2UmhUKCxsYlUOs2pp/2Aq/74Z0477X945dXXeP65WbR3dPLp0qUUcl3MmvE4r778MkEU8vHyZTjlSn+fof2fQYQd98QRoJCuz/nn/wIhBX/4w2VccvEl7LzLLvzgjNNpW9Vm58imaZvn+YRhkXHjt+CKKy7n+OO/xmGHH04mk6E2myWOY5sV4zNq5Gh2321/hg0fxrHHfpUDDjyAd955m0KhgFKa9nZDtZe2W3Bz/u73IoSpEADgOC7eRqzr/Tkqyt4njyGgVbzy6lsMGz6C0WPGMXnyDgwfPpwXZz1hfKHK1KrxPMfkcUYhYqAmoXCINZZHUhPa5P+ajNnqJPVhPMtG3tBQT7GQQzo+nu+R0OeDyWLRWuEITWNjI1EYElpCY13FQxhahVmBnAy0cumvAuuRfmgj8kopXn/nQ0PfNmgQQ5qb+GDuHMIgxHhx+qOQN1AEoEoIAatXt9OVyzFo8BDq6urZa8+9KRZLLFy0qNJ+IRgxYiTFQoH29nYWL15ELl/A/f/bO/Mouar7zn/ufWtVdXf1IqklxCaLVcgLJmSSeInACBkcYxbbyTgnNoeAY4cBT2JjjJ2EQ068HAPGZHycjO3xgidnZpickDg+J2ecleBgcJABg4kMwoCRQKhXdXd1var37r3zx73v1dJVLbWMMZmp3zl9pK6u9959d/nd3/0t329ggzNxqcTQ8AinbzudOC7xzNNPY7Clkd+55x+45dZbeH7/fhqNBt/bvdvCE3ccQV9ahanSJkHgkzbqhFEZIQTffeAhRkZGeN0vvYFNmzax7YzTmTl4kLTZRApesoyERtq05YIm4bydb+H6G25k6ytOQgAnnrgFIayFm2YZc/Pz5Md3Ke2mJqTA9z3OPvu1RaXdgTBzLgAAFxpJREFU3OwhNh+7kTiOGBqq0A70a4xh69at7h62Uu+nlUf5oihK032UMCtN9x5X9fiBZmMJ0AwNxezb9yx79jzMs8/uZWZmmq2nb3MOcIUyGZgM6RmEdEEkYVb8rC4SkIXfyKoqg9aZVQ7CuEVh2L59O+vXjfIPf/9/mJmZ4k/+5HMcf/xxnH7aKXz1q1/m+QMHUFrw53f+L77/8Pd49JGH+G9f/jJpMyUIy4yPj/PIoz/g3nu/w/T0NPd8+z4Cl3JSqZRcP7r2rnCmd6JFr03WriRzyXNJ8yOOlJIzX3kK9XqdmZkZ5hcX2bRxEun7WD/dWp+Tz5dW/3d8JjrHJg/0NRNLGxvHNlfykUceYnFxgb/9u28RxxFnbNvGPfd+m+s/cj1TU1Oct3Mnz/z4We746tfY++RTjFaHiKKQb37jL3hy7w858Pxz/NVf3sXi4hLHn3gCmzdv4s+++gX+9Atf4KY/vIkNkxuIo4g3vekcMpPDCLqgpZt3q8JevYhiJK5EUaAyW755wvEbmZub42///m+Yn59n/759hGHo8i3FT0BY1x1865/CJoRgaWERreHHzz7P333rm8zNzfH1P/sflMsxI9Uxdu/+HjfffCsHnj/A9NQ0937nbqanD3LLrZ/iG9/4K7ZvP4NKpcJ7Ln83tdoSD+y+l29/+26uueYa1q/fwK43n8/DDz/Igw/u5s47/yc//vEznH/+LsAyFvw0aZN/ylvNkSjLzt/DaBghAj7+RzfywQ99jF9+4w4qlZjnD8zytf/+6QJsIEsbgCbwrFvdVh6I4q6tJ6/Whu7nC7RSaK0IwhCtDb4vMbrOq179as4/fye/9/s38cUvfYlnntnPFVdcTqUS8/FPfIqzzvo5Jicn+fTNN7Nnzw8pl0tMTc/zu//5GqTn8XNnncVpp57Cddddx9VXvw+lNe+7+n0AJHVbWaSNRpPyollfRysGG/kXEmMUCoME/CDkox/7fa587/s59YxtzEzP8Mmbb6U6VEGrZY5+lq7mo+z8xJaPWri0E7e8goveeiGf+czt7P7ebu6//7tsO/0Mdu3cxWdv+yz/9Y8/z/vf+1ucuvUU3nTuG/mjj38CMHzyk59k/fr1XHnVVYyPT3Bofp7nDkxx5mteyWvPfC3DI6O8813vKUirjjl+I9OzU5SDmIZO6YicHdXrClfvfSQGRad4QUhteZ7hkVFmZmcY9ob44Aev4z2X/ya//h9/g+NPOJbdux/mhhs+zNjYGEJoUqWPIoWuV7vaNrcePsxqdRTPL7P3yR+xc9dFjFVLSC/ii1/8EvV6nT++/bPcfc/dXH75b/LDPY9x8cW/ximnnsjjP3yayU0T7Nq1E8/z2bFjBzfeeBNnn/06hocqvHnXhXie5IorruBzn/tTztu5k/pynbHxKpdeeikAfiAxIuxe/C+avCiKsmDty3d/ISxY36oAkr2PLWm6RBCMceVV72Vmdp777nsIMLz/t1/PZZe8jUwrZ+XZaJyU0sEnCZca49qQ39v0mSB9HNzKAbPaXMoEIQKa9WWGh9dx0x/+AZ4fc+DAC7zhDa/j2muv4f77/5WJ8SrHHHMcvh9w4QVvYd36TRjghOM28zu/87uoLGPb9lfzBzfeyFe+8jWEEJx7zi/zvit/C4AzX/MaLrr4rYyMVMmyRuFGyKGoiuZ29Vi/fEsbHW7/5loVroseSoFWosjvlDrlbZe8nb1P/oh/uvtf2PaqV/H+Ky5HeB5pcuTAwHkrMW6udARuBAW2lMHlRba+l7crS2ts2LCBW269jbHxCfbte463XHghV197LSPDIywuLrLhmI2MV8eI45jPfuYzfOJTn6ZULvP2d7yTKIp597sv56GHvs9xx2/hda8f5mO/91FGquMsL86idUpUGsLzIy67+FJO2rIFgMxYalU7fcxht7PuMbLINvncPMwa6SU6w/N9UqUZro6hVMLFl7yT22an+etvfoso8jlnxzl89IaPISVkKi2QctYmjoXT8R1Z6MSc+Kl3uy1zZ8qmyQ1cesmvUFtu8mu/+g4uufQypqYO8m979nDOjnPZuvUk0kbCW996EUmScMopp/OOd1zCf/j5XyLLmpyx7dV8/vP/ha98+etc9vaL2LZtG5laZssJJ3Pbbbfwv++8C60VH/7wdVQqIyiVkqb9rebipNad79umJg7fG11fzZRifnGpNyq5MQhPYDKNEYJSHLNUq/Hg7vuRusmOc861oHh5TqRWq8yg/KjW2ZxGo0FcGrEoLaKTlVDpjOVGghDa8hhh/X9ZluJ50vGeuIEtBrI/tUQQDfPNv76L0049ia0nnWwBYoVG6wZBENJsNpDSJ1OKUjyE51VW3Oe6D32IcjnmxhtvdL6tLiZFo1muLRLFJcfC2P4+TbTRBF6ezKxYrM05kvs8P7KlKIWUKC3xvJDA97nzzr/gvPMvIApCGmlKEFpSt3Il5pFHv8/je/fyq5ddhGdS5y+l2CAsPGPvwcm0X7D8Ga2QxpZ1SgTCD/D8Vj9oDHWV4acLPe+V93W3GARIt0+7hhkMURjzwAMPkCR1fvEXfhGDheHyfd9WYQkK/1WzmVEdXb/i3rXlGu/69XchpOTrX7uDoXLZQYUVCJKOJXSlnaCyBvXlGuWhCkmyjOf5RNEw0KSpFI0sIYf9lW58pAbph/hhhbv+8i6M1rzt4ks4tFRDGYd5KgU/enIvjz78IOfv3MnE+BhZmnQmSLchDfUTKZoYA5nSRHFMbWmBUnkcPyh39W/G0vIhojBCpZbSYU3i8Du1NsSlIR5//Akee/Qhdl3wK4S+RPUA7pUixWKjRvhRteNve5/Yw45zz+Wa/3Qt11//EYuT6nev75Tl+gLl0jCebK0VbVIyZWu9ZZdOWKodagV5DOSYllJKkiRhqDLCD/Y8wSOPPcYbX/961o2Ps1irIaXED/yeFClaa0aHh/DbQIWP2KIs0IOxfNLS8xzRuiIKIwLpI4VHI2sShhFKZSRJYjl5e6zH3mvUWJ5rVaep60iZK0sNJqWpfEufmaOUCosaU1TQmPb72+nWi8LWPsmKoJPzWApLBZsVC0nYPMHmMgQW/q2RLGCMJi6N8uY3n8eGDevRKiNVKVFoHICqHTnllHjaTNCqiZD5QGsaumnx+FTDAtMaC1cvimhzS4S9hOX6MmFgJ3AQBAjAD3wXoPDtru7SK3zpozPlkulBSFGgP+cAvD0J2QrosxyOyl6jAJFlGF3DyABtIDXaHUX7L++eYy1yjM08V1JglEZgKXmltBSradZ0QRlLHqZ0WuRExqWIZnMJIQMazYQ4rDA18wLV4TEuuOACTjzxBIaHhkkbNftIp/y1S0HzlA9F9ZVBqwxjNGEYkiZ1N3cykvQQQghSnVnsSqyl6xkLbCuEINMKqTVGa0ZGRlBao7QiCB0trrF9H0UR2ticVJNbzLkLsE1RaqV62hj5svY8SZo2ieIySi0DTRCh7UeRkakM35M20LkqlF1/NH9LqZACHlmaOYzINmjCHtfgLGaVLmFw4M5IxsYmuOGGj/DzZ/8CYJibP8jE+AbLWwMYk5FpS46XpjWUbCCEjzFZwW2jVYqUAUIECITl9PFaFW2e9ApcWWNaqYbNZpMosLB8YWApsdeaCnDEirKFRYejhKQop9LG0EyagCVm9/wIYySel7pG9bwjvRZXu5VsYfK7UU/ylzT5b3SoPZNXtcjWjXqIcWCqvh9gjCBLM7Ry0d6uyWMAIXyW68tEoSYMI5J6ncbyAjt2nIPKUrK0ief7qCx1wLK6A8Mv51E2qi3dyHNHSW1h6wuizY4mt/e7R6U8YjekRkIQ+BhjFyQC6st1KsMVIs+nniQWekwGSCGdQ19gybsUWUbf+vLuPjXtjh8DKsvQQlEchQWYfi6OvuIYDQ0IYXNftXGET5hiARsNWabxPMugp4SkIG7TYFCglN3gjAVwLpfLXHXlVUghaSSJpWUQtKoGnFgl0CoDLN7faIxwSlWbwicpcyvcVUYpY10cBkGWZUSRYWxsDGM0y4lFtPF9n2ajQThUsXl+Jqcq0GhTzFJaxGZ5G/odxtp4q8mntyTLNIYcRSs/Ludf6n+w659OYzDaEZO5DdwPAksp7MmeyyoPNyplYfe0KzqRXkC1OsrVv30tWdak0VhmZLhKM623UWG4Ddndx36e0a4nrE7IgPZrWmIrkOyaS9OUKIqQ0mfh0CEQlstduaBkXk12pNiUa/JRirx0zsH/G2UI/ACVZUwffIFMaXzfp7a0CFjUHU94PaPPRxPDld3HaGEQxUK238gVpXDflf0qEtzCtiWQGi+IMSZBi9z/1P1sS96lVIYnBHEY2VSHpEYYlRCBK6fUGuGBMBaBerWNS8hO/2PxGjnVaNtnQgoypchMxtDQKLOzsywsLCKFJAoDaiKHxrcWdxxFKK1YqtWZGK1a6lnHTGeMaB17ekwS28/t/pyV32nZ4PlGsEZgEpMrhhwU1qaJCDynzO2pwA8CC4QrLc2oJRLI0c8LxEjHAmmYXL+RJKmBEQhPFpbVmsVpGdH2f9AFQo0RLcBni4ZfQgjJoUPzhFGE7/lIaRzlqyV98zxrmc3PzbBuYhwpfbvwTe4RsSc2jQEXtFzZrNaE6vZby7bNrBBp+6nfeuulI3IOI8/zCEwAAoLIsgmoTDu64JUTO8d/Ny6bROIBEj8ImJ2eoTJcIcuaeJ6kXB5hcWn2sEDVvaXPKdGYImjl+wGRYyNYqi0RxzFxuUSjadHhpSfJUlu19KIrStcc8kI67YBCx8fXMTf1AvNz00xu3EwY5taUh0r7heyPJjOpOKPYwTAGg7KtEbmSzAMBdrGvXrolSLOMNE0tdamQaGVsJYpufQdAGU0UD2NURiNZxvd8fGmTrI221oFVRk7JOX5ypXTv2Qh02265g1war/g897UabY8WQRiQpg0OTj3P2PgYcbmMUjao5Xs+WZaRpJrJyY089fTTPPXkXqKTTyYMfYT0C6e37/xzvThDWhub6W5hm0NA53aL++rRjKexFrFyvNe2yNzxfVtL2fMsnYNRBiVbdAf2ctc6oynFZZJGQuAL0jQjCmO0UsRRRJautbxSYIxv31vk5pitKvF86TZhgVbS2gxGEvgeLxzYz/z8HNvO2E4pCq2P0hkPjaTBuokJNkxO8sKBAxx77HFEUYhKnVUtnV/d1elnaW9WS2UzOV0ri9a6flipRFezJtu6sOv1LWuk71m3lMpSQt+eHpppRrkPM2ArtJXf257+mo0Go6OjSF+6o3WTpdoh5xJolXcemXQ+o/Nd7HzS2th2K83+/U+xvLzEscdvIQxDGknD5kI7O+CnwsKY83/kiyMn2dp87GYWZg7ywAMPcO6540ShbxGOw6Dgquh+1aNJDDU9f+tm0uu2gvyeTzLYMsiR6ggT4xN2Bw1CpG+PVr3GQghrpcQVi08JmVVuwkOgEFpZS0AGxeMDfzXA1K6H5ERL/awzIciyhKefeYpnn93PySedhhTCWpaej+d7NBoNjJBMTm5g4+RGZmZmmRmb5phjj8XzQ0tDanJK3n7+2+6XFx1/bYlu+8vRQd2ZvI5bCHwDGEF1pEoYBM669AlDG7XVqMKfaS9uWb5CeGRZShzHlL0hBIK0ae8dhHHfd+0tXYAk+Y/QiLYlI4VzQQHPPbeP795/L9XqKFu22FrzpJEQlyoWri9NWTc+zsTEBP/22A/wpOA1Z55FFJXyR3Z4kAIZ9Jm3dH5xxZv1UiT9xrqdoKvzc2XqaOHhOWa6cnmYycmNNm1M+gSh1+M5+Wf2GO1haVSSet35Zm3BhpSSQwtzVEfGeHFrXpxbxGRI4ZM0Eqamp6iOjrFxcrJgLfB937mlCmfXYeXo0oOcFrZDYhgZGuaM7du57777uOef/5EoCjm0sIjR2kVwu4bSGEc+v7ZOKnYel+zbiW4isEAbblK4RSR0sjJFQwiSJGHDhg3seewx5mamKZXKNmHV81GIIn9Y5r5DIVhaWMD3fSbGRskyRVJfJktT/CjCCBzjnk/gEIeaado3mAQUVK/26NWK1Iu2BSDad1sPmiTMzc4R+CGj1SqZY/kTnt3EWpzGcOppp/Kv936Hf/ynf2a0WiUulZDCI1MZKsvwfK/nRNFtGQlWd+U+Lxd8AYRRVp0UJkm84j79xGZP4Op+7bHay9ttDHNzczQbDZ5+5mk3BtbKTNMM4ZtCqeRtl0aQNJpIIQnCkDiKmZ+bJ00zSqWYIFibErd0aiGtenvrN8Uox0Qo3UbrYbQhU4IwFMRxzCu2nsLY6Ci1JCEIgmI8hJQkzZTJyUnmZmfYt38fU9NTxfE9Z5rMfWb9qmmMaP/cHnVbp/HcmdFSYDmTYi912It+OZdms8n4+Dj15WXSLENKyf79+zl48GABnN0tssgBtic7jUeOQpWmKTNzs5TLJUZHq6RZA9/z0Lq3v7O/GPrB6QspiowIKSSLS4ssLCxw6rZXsmnjRtIsc2MhWiR+qwS6Ou5N17awWnpQYVHmitI5tj2jCT3B7Owsjz/xOOVKhVIc0Wg4fuOejhDJmnPI8sEu4HLaq2+EDcIYe1/hnPFCrzx2CSmpLS0xvm6cpcUlSuUSC4cW8DyPqFwmVRbBCGNaDnzAKEUUhmAMy7UapVJsj7tY+liVKUd+FpLpjEa9QRgGfc17nQeNuhSlUS55vi3vy5MejayBlk3Wr9/I0NAQo9UJassNizeoLX+1H/ikmSXBCoKA+dkZksUaU9PT1Ot1yuUyURTZSdOHkM3ITneF9UvbI2EOjCCxbhfhXA3arAFh3oDwBF7glIgbE601WZZijI3oGygYJqWUNpVD2lK3PBLebkCVyxWmXjhItVpFCEkcxczNzxEE3hEfsawINDG4Kpw8lU0K49I5nQ9VSZTRNBqaoaGIjevHGJtYj9aaeppRqQyRNG1qli8tktD4aJVkeZkfPfUESwtL9mltlo10fu1+QRbd5uLIDwUm78PcjlhxTR/vj6GvklBaUa1WWVpaIkkSxkbHqCf1gvWyBVrREonbUJAYIxwUnd1AFhYWGB6tgtE0syZREDAzO8NQpbpGH6W17Pv9LcuUzQYRApUpNm8+htLQCCPDVWpJQiNpMDQ0RD1xrAhm5bv0Sg9as6Ls+VLG2MAFhkajWdDK9urMtrut8rcjkTzK0XlP45ROS332aoMo0kCs4oe0mbkKrT5Wrtt5hRCFgskxB22k3LT8HsYqFa21Vbh9XrVlIbt/Vp0vwoF/WAraPCVKae1Si0DTsiiFsKRYOQ94mqa2eW3Hxf6POvKJW+ROr3k8bWfltk5RsOBqfls0r84ClS13iOvergOo3UzSZorwrIXqefb3tU+11tFbQMfCtPtm3oDOVnge1s+tW2AceSpKvnYsvqmgkSRuPNqeKlqhSd3XtS1W/Ndo03mfrivWGirJL/I8myaHy24B0zOI03pu54i44bQZCdj7GWzajpRWkXmyN9ziqtJnfrbPn9xSj+MYbXBBzM468VzHdeu0n1hRHrb9bekwL3fJ03Vyd2Q+mGvNr/pZyFqpTtvpRv99vONhVXlPadnf7vcjTP34ySQvRzSHMQxWXiePhkP2JZS8P4/0eHqk98vlpZiPaxuT1jVHnXB+JHK0XMU/S8mb+1KRCP4s5N/juBytdL/ly/e9V7fOXi7yYrfw5f/GvWWlojQWieOlgmYayEAGMpCXk2RZtkKjrzjjaK1Js945XAMZyEAG8v+6GGMIfL/D/bhCUb58jyoDGchABvLSSbux+PLi9R7IQAYykJehHF14cSADGchA/j+SgUU5kIEMZCCHkYGiHMhABjKQw8hAUQ5kIAMZyGHEv+OOO0iShHq9Xvw0m03S1BKKd2e2D6LiAxnI0cvtt9/OBz7wgZ91MwayirRHu/OKtv8LsFGgdMX4mKoAAAAASUVORK5CYII=)
Hint:
1. When the difference between 2 consecutive output values (y values) for a given constant change in the input values (x values) is constant. i.e. y(n)- y(n-1) is constant for any value of n, the function is known as a linear function.
2. When the difference between 2 consecutive differences for output values (y values) for a given constant change in the input values (x values) is constant. i.e. dy(n)- dy(n-1) is constant for any value of n, the function is known as a quadratic function.
3. When the ratio between 2 consecutive output values (y values) for a given constant change in the input values (x values) is constant i.e. y(n)/y(n-1) is constant for any value of n, the function is known as an exponential function.
The correct answer is: We should choose App B as it takes least time to process increased number of data items in the long run because it is a Linear function. Also, App A will take the most time as the number of data items get very large because it is an exponential function.
Step-by-step solution:-
For App A-
Ratio -
=
= 3
=
= 3
=
= 3
=
= 3
Since the ratio between all consecutive y values is constant, App A represents an Exponential function.
For App B-
First difference-
d1 = y2 - y1 = 5,040 - 4,042 = 998
d2 = y3 - y2 = 6,038 - 5,040 = 998
d3 = y4 - y3 = 7,036 - 6,038 = 998
d4 = y5 - y4 = 8,034 - 7,036 = 998
Since the first difference between all consecutive y values is constant i.e. 998, App B represents a Linear function.
For App C-
First difference-
d1 = y2 - y1 = 5,375 - 4,400 = 975
d2 = y3 - y2 = 6,550 - 5,375 = 1,175
d3 = y4 - y3 = 7,925 - 6,550 = 1,375
d4 = y5 - y4 = 9,500 - 7,925 = 1,575
Second difference-
d2 - d1 = 1,175 - 975 = 200
d3 - d2 = 1,375 - 1,175 = 200
d4 - d3 = 1,575 - 1,375 = 200
Since the second difference between all consecutive y values is constant i.e. 200, App C represents a Quadratic function.
Using regression on a graphing calculator, we find the functions that model data for App A, B & C as follows-
For App A- h(x) = 3x
For App B- f(x) = 50 + 998x
For App C- g(x) = 100x2 + 75x + 2,500
a). Since in the given data, y represents the time taken by app to analyze a certain quantity of data represented by x, we should choose the app that will take lesser time to analyze data as x increases.
Since App A and App C are represented by Exponential and Quadratic functions, respectively, these apps will take increasing amount of time to process as data quantity increases. Whereas, App B is represented by a Linear function which means that time taken by App B will increase at a constant rate as the data quantity increase.
Hence, the rate of increase in time taken by each app is the least for App B.
Hence, we should choose App B.
b). App A will require the most time as the number of data items gets very large because it is represented by an exponential function and we know that for an exponential function the rate of increase in y values for a given change in x values is exponential.
Final Answer:-
∴ We should choose App B as it takes least time to process increased number of data items in the long run because it is a Linear function.
Also, App A will take the most time as the number of data items get very large because it is an exponential function.
Ratio -
Since the ratio between all consecutive y values is constant, App A represents an Exponential function.
For App B-
First difference-
d1 = y2 - y1 = 5,040 - 4,042 = 998
d2 = y3 - y2 = 6,038 - 5,040 = 998
d3 = y4 - y3 = 7,036 - 6,038 = 998
d4 = y5 - y4 = 8,034 - 7,036 = 998
Since the first difference between all consecutive y values is constant i.e. 998, App B represents a Linear function.
For App C-
First difference-
d1 = y2 - y1 = 5,375 - 4,400 = 975
d2 = y3 - y2 = 6,550 - 5,375 = 1,175
d3 = y4 - y3 = 7,925 - 6,550 = 1,375
d4 = y5 - y4 = 9,500 - 7,925 = 1,575
Second difference-
d2 - d1 = 1,175 - 975 = 200
d3 - d2 = 1,375 - 1,175 = 200
d4 - d3 = 1,575 - 1,375 = 200
Since the second difference between all consecutive y values is constant i.e. 200, App C represents a Quadratic function.
Using regression on a graphing calculator, we find the functions that model data for App A, B & C as follows-
For App A- h(x) = 3x
For App B- f(x) = 50 + 998x
For App C- g(x) = 100x2 + 75x + 2,500
a). Since in the given data, y represents the time taken by app to analyze a certain quantity of data represented by x, we should choose the app that will take lesser time to analyze data as x increases.
Since App A and App C are represented by Exponential and Quadratic functions, respectively, these apps will take increasing amount of time to process as data quantity increases. Whereas, App B is represented by a Linear function which means that time taken by App B will increase at a constant rate as the data quantity increase.
Hence, the rate of increase in time taken by each app is the least for App B.
Hence, we should choose App B.
b). App A will require the most time as the number of data items gets very large because it is represented by an exponential function and we know that for an exponential function the rate of increase in y values for a given change in x values is exponential.
Final Answer:-
∴ We should choose App B as it takes least time to process increased number of data items in the long run because it is a Linear function.
Also, App A will take the most time as the number of data items get very large because it is an exponential function.