【NOIP2016】Day1 T3 换教室(期望DP)
题目背景
NOIP2016 提高组 Day1 T3
题目描述
对于刚上大学的牛牛来说,他面临的第一个问题是如何根据实际情况申请合适的课程。
在可以选择的课程中,有 2n 节课程安排在 n 个时间段上。在第 i(1≤i≤n)个时间段上,两节内容相同的课程同时在不同的地点进行,其中,牛牛预先被安排在教室 ci 上课,而另一节课程在教室 di 进行。
在不提交任何申请的情况下,学生们需要按时间段的顺序依次完成所有的 n 节安排好的课程。如果学生想更换第 i 节课程的教室,则需要提出申请。若申请通过,学生就可以在第 i 个时间段去教室 di 上课,否则仍然在教室 ci 上课。
由于更换教室的需求太多,申请不一定能获得通过。通过计算,牛牛发现申请更换第 i 节课程的教室时,申请被通过的概率是一个已知的实数 ki ,并且对于不同课程的申请,被通过的概率是互相独立的。
学校规定,所有的申请只能在学期开始前一次性提交,并且每个人只能选择至多 m 节课程进行申请。这意味着牛牛必须一次性决定是否申请更换每节课的教室,而不能根据某些课程的申请结果来决定其他课程是否申请;牛牛可以申请自己最希望更换教室的 m 门课程,也可以不用完这 m 个申请的机会,甚至可以一门课程都不申请。
因为不同的课程可能会被安排在不同的教室进行,所以牛牛需要利用课间时间从一间教室赶到另一间教室。
牛牛所在的大学有 v 个教室,有 e 条道路。每条道路连接两间教室,并且是可以双向通行的。由于道路的长度和拥堵程度不同,通过不同的道路耗费的体力可能会有所不同。当第 i(1≤i≤n-1)节课结束后,牛牛就会从这节课的教室出发,选择一条耗费体力最少的路径前往下一节课的教室。
现在牛牛想知道,申请哪几门课程可以使他因在教室间移动耗费的体力值的总和的期望值最小,请你帮他求出这个最小值。
输入格式
第一行四个整数 n,m,v,e 。n 表示这个学期内的时间段的数量;m 表示牛牛最多可以申请更换多少节课程的教室;v 表示牛牛学校里教室的数量;e 表示牛牛的学校里道路的数量。
第二行 n 个正整数,第 i(1≤i≤n)个正整数表示 ci ,即第 i 个时间段牛牛被安排上课的教室;保证 1≤ci≤v。
第三行 n 个正整数,第 i(1≤i≤n)个正整数表示 di ,即第 i 个时间段另一间上同样课程的教室;保证 1≤di≤v。
第四行 n 个实数,第 i(1≤i≤n)个实数表示 ki ,即牛牛申请在第 i 个时间段更换教室获得通过的概率。保证 0≤ki≤1。
接下来 e 行,每行三个正整数 aj ,bj ,wj ,表示有一条双向道路连接教室 aj ,bj ,通过这条道路需要耗费的体力值是 wj;保证 1≤aj,bj≤v,1≤wj≤100
保证 1≤n≤2000,0≤m≤2000,1≤v≤300,0≤e≤90000。
保证通过学校里的道路,从任何一间教室出发,都能到达其他所有的教室。
保证输入的实数最多包含 3 位小数。
输出格式
输出一行,包含一个实数,四舍五入精确到小数点后恰好 2 位,表示答案。你的输出必须和标准输出完全一样才算正确。
测试数据保证四舍五入后的答案和准确答案的差的绝对值不大于 4×10-3。(如果你不知道什么是浮点误差,这段话可以理解为:对于大多数的算法,你可以正常地使用浮点数类型而不用对它进行特殊的处理)
样例数据 1
输入
3 2 3 3
2 1 2
1 2 1
0.8 0.2 0.5
1 2 5
1 3 3
2 3 1
输出
2.80
备注
【样例1说明】
所有可行的申请方案和期望收益如下表:
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52DoOFyHmmNZ6etoXKwiC2uX6+e/AZUBOX0msJvHCR2ZP20TP0PF+xlPW6+gw5t4YcOuMJmT6DuElh7BvjTZ7cTzvOwoN1+XJPGWJP7eVqyqNhpUzOJ6Rx5/geQh5amqZFHPl5GmE917N+XO1CUZhCMGjEvNviaFn4BCEzgpP33GlS3bGQo08+GEB46wn8XqcldnU65R5XcubK75z2Gc6ot51zDvl/+Bzk/POQO9agbS9vbMWO0sUrCznfdhgfvjWesclieZ5KpFLPMQw8uoIHvQfQpvJjHJOZBZm75hDk3pOW7gqybyaTGXuV8+eyMdxIJDP+OmHnDFhkRJJp7YlnQQH1Qm03Nw0hjeMLD1L3yz2UiT3F3qspeUPGmecTSLtznD0hD0XfYRDb389MC+vJ+vXjqP1Yso10i3m3daQw3QKZESe5596E6gWHeoRkDgaE03rC79RpaUc+3We48vtpfIaP4kXpfg4RJkNhaYNn3Za0bp1LmP4e15ydSGvSmtbVckstXYWH4xXKORSVmTIsRDWtyD1sZu+Bm7scG3cnDDo3bBy9eaNOXRzEf8F95VjotGKxmBew86KRl6tQNB+MfzfH3Nsb+Cs4jf4jciNhmhskL9mJQwv3Ar1QK7y7jmS0+FdW6FGWpPbl2z9qcO7bMQS0Ho9nRhyxiZdZfKY1H0+0JvHqdjafL8e7g+rkhj7VPDh1iLBE45CKQOq5OBLTdzLX/2fONhqEbNRwAj6vx1H3Poy3SCcl5iIzhq+ideBPuKiNc0sUxJ+9RvlB3VEd2c72xw0ga+8RPG02yYP/YvmXDXF4yf5YJooWG8+6tGzdOtcY67l3zRmntCYi/9VyDWI6Kg9HrpRzKN7rl1ng5KbIPW6GvYcb7nIb3J0M6NxscPR+gzp1HcR/wfSVW6DTit6w4FizTVV8Wwom/pWpl9h/rSnjBtYRe9sxXCpVg7e6NqVOWTH19Fh+vPoAh6KhT4uyNG8ufgqudOpTC2sHe6zzaruBOPlKVt7pzZDRNfEf/W3BjIt2R4FD3cFMmvK6SZCn79rNSru+VM/Ywdjb/mxcNY7XchWj+tIt5q6rR9tyj6yGHDN5QfIEtDEh/PptAhamHnPOUX3saeLuObB6jVosZ1GMRqRRp54TrybE3qXcDEt76ydGd2Ry43nPKD9yNZwh4ypbVt3A57ORxlEesbgMhedjiaLWQuFA3cGTmPK6iQ127V6JXd/qZOwYy23/jawa91qugFdz6dZc1tVrSw4d5jiV9+Y1l4dcSdLg+cFkptdVsfPY9xxcEUhGTARZ1dTEhMVQ0ccL1TFr3OyK2y0bTweOdHiDb/ruZfugWObOzeDTnUtp5xjJgi49+aPOWg5OTOWLCdtx+bSj2LF0ebzDf6kQ67b+Aaf3nSb9eiSp8XYEz95PmPPH/DSki6kMsxLyz1bfDGLq1gqM/7gtpfPaTiYXVm0j9vXN9B/gjSwqhcBV3gwaNIDyqsMcWJRGh74DaGatpJFrNbSaENae8aFPo5yovkx06gqHugyeNIUcOnexe6UdfatnsGPsbfw3rmJcfuPi1tx11GtbLk+AmSLym38gOKMqHVMFnN1d8XByEXnLZPfQ5nx30Zz2kWFou/jTUDTgdf5qIzZJ63wBl3WNNXM2EOPgjr1FDklC6lEuK9MJXRFATIEeeNa5H5m4rQ0hVwLwdc4lVBfNhh93k910DBqD8do9fPH1KcrXdib6QgrxhuUEJFuRfXUNf2V9zLY/euYECF4GxLajf3CafafTuR6ZSrxdMLP3h+H88U8M6WJim3y61dwMmsrWCuP5uG3pfGGQeYFV22J5fXN/BnjLiEoJZJX3IAaJHVbV4QMsSutA3wHNsFY2wrWaFk3IWs749KGRcUrPC7XdHOhjNvNDcAZVO6YiOLvj6uGEi5sdmbuH0vy7i5i3jyRM2wX/hvbI6vxFG7GWWeddL5B1bQ1zNsTg4G5PDt2iDz96GWV6KCsCYgoEXLI49+NEtrUJ4UqAL/l0b+DH3dk0HaPBaJlS93zB16fKU9s5mgsp8RiWB5Bslc3VNX+R9fE2/uhZ0vSXJ+O55oTJjEN5ahUqVe5T6lVoDQa0KqV4LFefqtToC1pR9W2C567mjqWGgz/8geX80/xa+gyhUco8Y6uOiCY9IYxD+8xMURdd3G5mzUlh/MFNjKqaHx+Rm2m5v38NK1JyYjOG5BPExGWzeeUKTFOxdDGcTdbR5omzavWkXjxEapf+aIb8wIYy/pS7/D3Lo/pS+8I5bl2Zy8wtHWnzTh1qmEYlLChVqRq1ylphYbQiDbZRecUoJtz7jY1fNMFBriVq6Si21vuGVi2bYJuajMylKe18mlEnd1TD661Z/NFLSezNaNR2DlgKCez8uDezHb9hxTe+lJalcz+xOt/u6oWZuT1Fh9RfCsQGJNOrRV5VuQZMj0prwKBVoRSP5bCtQq0vXNjq28HMXX0HS81BfvjDkvmnf6X0mVCilHlsExGdTkLYIfaZmdgmbvcs5qSM5+CmUXhnHCNo8TGyrLM48Odx2mzczntm5phbOeDs7CyKsCxszc3ROTqJ30XS5XZYWFjl6jcDmVEXuPRAiT7tLEHLMhnx5ySa20SxeOJyHD78mj7eVjwZsvyhq4IwpHF6yQna/jQrT4AZYQxt6xVuBfSjeH3RCFGZTnwyzLNQREBzPZElB0ozeNQIvF65cau/D6HIskGDVo1Gb6wnovjOimLbz4dxH9E/7121xvLD2ZsyVvmFVlSEmZsVbxCGtNMsOdGWn2a9ViCCKqBT61G45XfezF0qUtHiNmcjE0m6mYSlbwWsrbxo4zcyZzhS7FlfOK7A522xk6G2o3YJ8xhkdg34bOX3qEKzCJ00ljUP26Fa/hvbdizhRpdtHBltx57FEQzdvssULXiVoXAsg4enJV56d2ydqtCsXxc6K3LntWhTiLoZS+rtHSxeGCVaPjta+ngXtkd6JUrX1nSyO8PmdYe5+OfPqBtM4WTwek6prnAr/gb7N63nvokUFVd/+JxNjdfi26A9peQ5w/DF6TSQdnoJJ9r+xKzCjUusNwrcCnbOss4w/y97fBTnuWuwwL5KPeoasxWznHWxHRnXRHSwDV24FGVBtw6uxdqxzLY6AyZ/VeiY8nQ4v20dyrgxIymb1xb13A8IYp5BdPbO+alkn1/Awkg98vbupiFSmSyTiyfUDP7lA2r5f8Cs3GsfLFrN+ow3cH2pbVuBYxkPPC290Lvb4lSlGf26dEaRO2lNmxLFzdhUbu9YzEKxvLBriY934fl7eqUS19adsDuzmXWHL/Lnz2oaTDlJ8PpTqK7cIv7Gfjatv5/TBlVX+eHzTTRe60uj9qVeuO0ahdGZ+X9h76Pg/F0DFvZVqJdDNsvXxdJxXBNRPDfE5ZJYV7t1wLXYrWTYVh9AYbqVnA7/ja1DxzFmZNl8waS/T0DQPAyikM+nO5vzCxYSqZfT3t0Y0RU7mZkXOaEezC8f1ML/g1m51z5g0er1ZLzh+remIDxXJEwmU3H3cDDrH+ZO2jAkczYugeyQjay/mJuU8iLR6gJm1NKbtyZOEb3OVTKXHcCjaVnK2EKr1+ywEZ2nvSk00IfBk3OTVCaRLLzNgA/lyM0tCt0fmWg8WvWiT5ecSJgu+iF/rsqiyzt9qJIbCbszfzP6J4gwfdp1jl+yxq6GnWhcK+PTpRtV5L/zs6wD3brVROu8nVk3GlI+z1fLsHL3QLdzNbvu6TAkHGLBMnPe/ugGvwxbTb1Zn6FP7sFgz2iSdE0wj7lAgnt9vIoOCsus8XztNQTlLTZ8/SMXum7mxNBa5IxAOZO+Zxzjr3dgxrS38Xh2Uv5nMDpJ1d3DYmN7SA7bBpLPxpGQHcLG9RdzK46Si9HqQk7T0vstcujOZNkBD5qWLYMtrXjNzgYL4xwoE92DmZybpjIpGeHtAXwol2Ok28y1KX7jm2GpO8n15VHUKWuJLFpG5s19YmO/g4VY587ExmLYIdY5V7lphU2sNjceLDYTK7FuqXTmOMpiOH1BzQijEbB6nUHDzGncZgicXEUfzyerXLm8+O/a+AskDvyClpdWsNfKj/ZlcqSpSYSZWaEoIMJQ3WbH0gCirXTEnEpCX84473EZX69w4v1JPYsMs/8fgJDJ7bBoHsSuZXGAZ46h0d7hYkIUavE5k3Mn0SvDokhLzS6wWshAxqXVBIamcP9OAtcPHqdRZUcUsZliG82pNfr0WDIta2GTa70Eg77IykTRDhSjQ0v8hUQGftGSSyv2YuXXnjK5c0KNhtzMSlHIkahu7uRoshVN7s/Ap30Fuor3fj33N/XtTSw8p6bdznWE3k8kPegL5q+4j9+GJQyulG9/zL39mOYexY2O5zgvNtCIpZ+zwG81Qb1fx9FWTd3GtVFYvQq9p8dDyI7i+OFwjKN36ogEslIjuXBmP9fX7EbWvCGlnSpSSbDC1rsrw8d0KbRYKA9mbvh+E4ivNpb9P33C5jZB7JzWEdMahoy9bJ8di29/P5qnHWBp4GpCH7ZlxlftTALMBLm8eAdHG8+FxIF80fISK/Za4de+TE7HzyTCzLDKa1xqri1bicu0afhM/IRSDo/cl4rwP+aS9d7vNA8ZylHvltivXMvNN9/ntadO2tYRe/wUihbvFRFMOtJisrDxcCjkqLcs0fDxV81YmJrbUTPOM9YkcuvaVePI3aMTiRc7gjLXlynIBbKjjnM43Dh8J3Z8E7JIjbzAmf3XWbNbRvOGpXGqWAlBNJjeXYczpkuJbIt0+/JNoC/a2P389Mlm2gTtZFrH0uTQvZ3Zsb7092tO2oGlBK4O5WHbGXzVrlTu1S/WdtXXlrHSZRrTfCbySSmHPLGiCv+DuVnv8XvzEIYe9aal/UrW3nyT959OtkhrLMdPKWjxXhHBpEsjJssGjwIjePr7W1ii+Zivmi0kNVdMyhVmaBJvce2qWX4UTR/PA6WMv0v3c1xmnPRmhXeHAfj55g9HZomKP63XYPzyhiPd2fzbqiff1LkCFZRn+LTNFCyHDigwaVGsOGGz+T5qMueC+xdZVSdgEHvTclG4WVnlKCStTIPBwgl7G6sc5y43RkSMe74UUWH6NCIOb2TJr3u4FVcG185TaWN9kOU5P5KVpMTK1e4J8zisqdS+Lx13fM/U693YfLEzSX9MYlWXIdSPP0XkiMHUPfQT19LexvbqWeTN3y4+B0gULNcWfcKHc8Mo++44ejpHsm9LZP7PDg1wCu5Hw5srCN8wEK+X3KE2vsbKyrsDA/x884cjsxaxOq0Xg/3yhyPdN//GU9jGuUIFlGc+pc0US4YOKDBpUcgmbPb3RE0+R3B/z7yhS0tj7TbuU/BoQq3Yo3Ks2ZWBfo2wFg2hMigY/dtinSsvXpHmwOpFYfl3c6tP29bi5bePY++kwz3XMVrV9GdClZZsvKoURZjNE3Msk+tJOpUvOJSXbqMrPYUe9dwx97BmQtdRKEMC6eFuhqBVoVNYFYiEiXXP2puuQ/PnhB0Sj1pU7kM/VQNaDFJyam1/3J6NhlcDMkda/XiQUKECVR9N+BLbb/jv52gtPuejORHKcDPkd6sV6N3KcWwwlE8bZLBHFL/ybgPxa2iU9Gns0AsmsaVNvofOs1v+BHCDrsgeXDLk+iSxzBYTYDIISi7d1lF6Sg/quZvjYT2BrqOUhAT2wN1MQKvSiWKoYG9azY0tx3GqXoYKb8+i+50RrLuWSMLqIFTxCZSqPZFpQ8bgbr2JvX/14b0Ro6kwWsy5ef6YiKB+QOjSP9gvtGfsu5aEzpvD0Uqf8nP30tz505+J6aP4ZaCaRYPrs9VtIqv/GEwlc145yKxcKeNRDjcXR+KPR5Bi8zZ1G7WjdSNfFLalcHMwJ+vo1gJDfwJpx3/muzAfJo9pYlqBbsi+y/Htuzh25gQRpd9lUldP4q9cIt54ulpJw8HtkN08w+7QE+g9X2f48mH0LLhaSSZHn3SKtYsDcuy78hK3daWZ0qMe7uYeWE/oysqv/Z0AACAASURBVChlCIE93DETtGKHSoFVbuPS3NnJEe9JfNxIzYICz6V/sJ5pBzvwa0hV7oeIByyr0qvJDCat7cEyv3JPdnK6B+zZkEbrn6tROEauI+VeBrYNHfMW7KSc2ED8gK8YlDhIFGF5D2QaEUpPSSElzysbSM3WvuTtEGWiTyuDRzk3XBzjOR6Rgs3bdWnUrjWNfBXYlnLDwTyLo1sLVFTj/KufvyPMZzJjmhiHjw1k3z3O9l3HOHMigtLvTqKrZzxXLpnYFuluyOB2Mm6e2U3oCT2erw9n+bCeBRanvUDb1dxh5xFvJn3cCHVhslk/7SAdfg2hag7ZVO3VhBmT1tJjmR/lnuI3dQ/2sCGtNT9XKzIiokvhXoYtDR1zExBSOLEhngFfDSJxkCjC8h9JpDudFJHvfLpTydb+fbafy9ULuYbzqecZDenTTpKJPQiVnsqtfPEtIMIzFJtYbFHSMk/BNOx5b/cyAmJyClATEUxkaj02iw3aFK3Rx3Em24mOigIKyJDENr83GHS9F9+/24gqV32pY6siMz1bFGsasjNTeRCZjk0dM5SZmWRna9BlXGbpt7fw+eQ9ahtDVZoYQpct56zLEBbOMGP1Rx+S8N5C5jaxF52wlkaiwc6KU7P4wgPMtsbTcEylElZHWOJaWovavQrOWfEkZXoiiwwjo35futTywMnBnjc3pXJt7D0yXoV9ZgR9CXsolXSegWfZB1Mm9iBU+sq08vUt0MPOQLFpMRZVnZ4cxhV7xKkXN7EkIAxzQwqH793D8FcgZsbutTKMaE3pp2fAzItBW87Sx8YOnlg7ZaYVYK5N+jHc/9GcsBBWHMgpDDOPTgz3Gs/MXQl0G+KJQZstijCb3PkGj/JbUro21Bk1lrLtDxGt/j8mwrLP8tO3h2kw4UNRhD3+NOsaPal9dBunEwbTwv3JKkSvMw5oq7l35i6O5c8woNV+PpvjYdxloMhwpJEOV5r0G47/o3klxlVnppPM8Og0HK/xM9mV0I0hnga02aIht8lfQU1WGGuud+LDZge4qSiL36q/kPV4D233llTL6M6I+u6mxRgxy7cTfvYSn27pw+ZBXnn1UR+3iXdbfobwdQhL/EpzenR1Ou+tyTvN/Om+vQPv+jaF375gc/+DTF63CvPun3MseSCVPF7BqflyOyrVqyMq35ts3nYLVcYpjkX3YEgTt1xHoCMjOYMMUewsDXxg2k5HMHjQqp4LMmOTkQuo00Sb3c2fxm8k0HjgYWJavEVpuYaoPftIb9QRn7ZiW8y+zaoFy7EKOMFvTQsvUjB2q8xdm9BvuH/enDDjqrIcOj3oNNyL8TN3kdBtCJ4GLdmiCLPJbVwWld7Cv5Ixm7fzE9THs+3r5VSbuZGGtgbumw4qKPf2WOxaDmVe/e2Mr1lwuW1haCJWEpj2FovrFu2YaUiKzsKhx6NImGgPyw5mbMVSZG4oUqy25anfvEWBVdh6HlxzNC4CfqmQ21Uih+7NbLulIuPUMaJ7DKGJW67b12WQnJHBnZ1LCXxgLTIjYPBoRT0XGTl0q0kTbXY3/8a8kdCYgYdjaPFWaeSaKPbsS6dRRx9y6F7FguVWBJz4jaYuBQX3C7Rdi0q8lUM2+Wzrid/2NcurzWRjQ1sMOWSjKPc2Y+1aMnRefbaPr8kT2CZiZSBpby2mON1JRGc50ONRJEzUOmUHj6ViqUwK0y3Htnx9mreole/jRWF4zdHsb+8Z+FyRMJ2oAG9uDyLgdq6KNDzk8P0YlGsWEfBo9qEqnFuiwNE8wYELGTc5Ha0USc7g7vUrXCmwJ1D23bTHDCfa0PiXME45JHPwtC3t25QhYfEqFluOYrR/7dwCMTBspNjIC4owuStdAi5w18IDi5OiUr+i4vbOJRxPdaL3xJbE7F3Loa0PMdz9lBkZPahl357PehsvNCcpQYlgZ8b909dx6/sZnxpXTajDiT51DaHHeXatjSbFzJP6Hdryes1mJL8/g1+imvNtnZIiLXLcui/iSPdH39Vc/no6vXb4MqRrA4x112A+iDXbPfB67n1P/nkIOrF3d3M7QQG3c3uIBh4evk+Mcg2LAjzyVp6G30on+0lkG/d5u3maaKVc5P0u169cIZ/ubO6mFR1+KiEF8QSH2r15zz8nEsaanegHjcTfFAnbwuaVYU9JIQcKu1LPUOGFYvOaTEcNuR0QmSPNPpvJ5IquJuciqLPRW1oXGI4UitRfwRRVNN2/wlA2HIQyNjxmQ9JXFIYMwjfvpOxn459yoobIld+wu3RX0Vi7l3iGoHzA1WgdDo2608JV7G0e1NDiUy9unrTA87XhbNnhkLMFRt4FJe1ObzyWc1Dm2IzPZk6moquJDdTZeiytHw1pGEgK3Ybdh+/z2l/7uUnOknvjyILOtixOWwYz5PQMlgy3JHiFmp6dXqdUFedCHQIzjy7M2tIE15pepnbQas5VHpqL3YjzH9P4MztaLRhOt6a9sTROJpLV5NMda0gzRUEsn7wtwktExqkF/KUqi2vF2mh+bUfvN1fyvfshDiba4ZCSinnFoQwdWdJwpHG1q7fJyRn3xzSz96Z+4yaUlScR9flbLHPx48D7VbDQOLLPqTRuVYuv8BaKLrwwHTTkdvhkODb7jJmTK5JDp5psvSXWiseVpOiUd85iZ9MFzGth3BYiL16BzKEpn463pGnbd5DvXM2HDRyKj3QYEtjxzQrKfL6fWkWnimqTiUy2FevVI2OswEVs8yXmIvkM6xcHcCLPuAikhMaibfaYbP+ryODUgr9QlXWlYm0Nv7brzZsrv8f90EES7RxISTWn4tChjCxpONI4hcY7j23svevTuElZ5ElRfP7WMlz8DvB+FQs0jvtwKu1G1aIbSL5Q2y0OffxOZu1syoJ5LUwL1/KjUw40/XQ8lk3b8o58J6s/bIBDCX0gQ8IOvllRhs/316I43ZEk24r1Lo9uF0qmW0/ymfUsFjsY+XSnEBqr5e/S/RwiTIGbjz9f9BlD/4qPJuYbIxLBpPUfgf+j4UhNNN5VHtLgMSM++sSD/Dg7gs6Tmou0GtCoVKgKWD2V+nFOWY6dp7FUHKkZ9yU/bH2HsuuSaTmtSqHhD/MSnsjMzgNjBz7L+EVmS/U+42iY+5suOpBlpUby87flCdr6Oj3861N0n8jSFbTsWDCZBVdvEqcW1bTYQ2r9UE7VbgPyh2cMTWh1/11m9wujXknPbkjmxJJAQjMdcLIxVjQdMeeNKz7CWL/ojmkj2Yj18wkp9x3b/+hXaJPZlwGFmw/+X/RhTP+KeRPz7xn+IjitPyP8Hw1Haoj2rsLDx5EtXpN48EdmR3RmUnMz01Jw40T/fLqLT+wvORltcWEu6NHp5MhVGaiFotslPAZCFnfOXiTZxgXV3XQM8pL3DxJKCAEa8qyJHNdWQ+n6KGuqTOT2BTcbNKBXJ3Dx6GGsbbXcuZ2JziO3TsvtKVvuGfL5qkFmhsLSAdcSN98rCDPMzZ3w9i5i0HXpJKQ84MCc6fzcpi29+7XjzW+mo7k+k5apvfhD7LR8IZ4mt3SilLko9s+FkFSjE9VMXdqSdrU35Bt3sZPVamgeG6gy5dg/2uhTfYfQhB6M7ehI+IpHFwgmIZB1Yxf7NFVImD+D3eUcWVPxUybbzGWPKXmdWDcUYicxk2ublxMSLWBzzLxQXdHeucjDNIHNSxYXMui62N38tkTLhD3rGP3a0xaBvASorxHw40M+nNmVX/704u3pQ9n46RXcN49jnNz49pJjzDpR4HzVTULCXenQsHBESyj46hfVbY7GVqZfl4r5QzTG+Vy6Etq2UMJoiiFfmMldW5FPp4pMsc2UvG+rQNaV1QTF9mFijZP8OXs3Cms9l+4mcnXTImav3sC8E9XwaxxK4A8LqP3HZ7QptDmngcSdX/B16kds7udVPBKvieFSohO1Sz99XNmsVCP6DPcvHAmTr2HHK/A6BfW1AH58+CEzu/7Cn15vM33oRj694s7mceNEPrM4emwWhekOIdy1Aw1dCrFt2kA875zbR4mt3I8uFfOdlHFubHG6X6DtFk0p6wqrg2LpM7EGJ/+czW6FNfpLd0m8uolFs1ezYd4Jqvk1JjTwBxbU/oPP2hTZp8+QyM4vvib1o830K2EllCbmEolOtXk63WaUatSH4f6FI2HyNTv+jUiYDQ0nfpsnXh4Li/L4dilf/LjoNDVZl5gxaAFTd6yjtt1V1pi5ULNpC1oUHI5Uu2F+5kk3MKdC34+p3rcOA28N41SJUadnhCmUvZLXvt1CrSpm9EkawGdbApnT07NQwShsrcnUevP21Em8Wf4B37f+nHo9WonK/9EZOu5v/JoghzdRrPuTE8Nn4eNUpDLJS9Fk6Kc0VTxS+hquxS/hkNdgRr5XJsfA+X/ET3//af5R2DScyLdPJ5vyvl0ogW2Rbg1Zl2YwaMFUdqyrjd3VNZi51KRpixaFhiPVbuYUpVuffIqgWUEITe3Y+dcpKlUuT4PauVEssXdWtedAHBwzCN+2mFkTJnOhYXCBJfSY9hcKXXcGZw9btp9K4oOWrrnX2lLW245zP49i2MxbdNrmQUltTtAXHa4USjhmyimZCdlYudnlN3jj8Kzolkt5eOJpJ5aBgwJB8/Ro338ShiT2Th7IB0tvU9X/d9Z93pNquXs3CFlh/DJ6LfVn7qWO9b4CF2mJP3+ZlNdEEZZzJsXpKOGYEfpMErKt8reZsKxED7/KKORZGPT6HONvnPtxL5Q58/pzeNV39Gm1jlnTQ/lkuS8us+aaLks/sZBjVd6nc+mc/QHLWzkW29hRefoKQXe6Msy/Q5H9tPwZO/XvFdf/Hhoi/5pL0thf8Hf6hl/EIxbVPmHvFh6/waUoRk6c0NBGFGGFpljIXWjw5uvYyQVSjgay130A78ZtY+0VTxo09qCO32jKl7Q0UPQDxeksfswIfWYC2VZuFNs1xNgejU7bqh0fj/TCUluTIQ3tcLRKJ3hjAOa9R/Bx4w/5OCfxEjdrVUcswn8aTNvqT+USjIA25iQXDDUZ6vF0EfbKRsI0kfw1N4mxv/jj9I2Jbap9spctPH7zWk3MCU5o2ogirPCEGrlLA9583U7smKRwNHAv7gPeJW7bWq54NqCxRx38RpcvYSXoC7TdwpeIetyKdh+PxMtSS80hDbFztCI9eCMB5r0Z8XFjPswh+zGbtaqJWOTPNPG/rf6VS7D5WmJOXsBQcyhPp/ulRsJKggDP+jJbvVIUMgpqfDWXIcZZqypjM7LA0dUNN8f80yztc0TKYwMb2gSOLfycBaphzB35gPd9etFqyBB6d/ahXqVSJe5Ark2LI1UhOuKMdDSPGqQhjVO/fsL2Fn8wv03OTrzNJn9FSIfWdDnxPbMn96ZG7viw3MWHT6f65CSmeVCkCLK4uvRzZtzqxeptHVAH9eBN3wnM2ziDnhUK94TlimcpbgPJp7cQXq4brT1frdm9Jraf8c3FemUmWkUNvpo7hBy6xZ6UhSOubm7k022JvaIw29rbgfRu+R1O804S9HZpMk/O5uMfMyjz5kn2HkmlYhlXXhv4FubG7TKa9Gfq8poMM9hybvsOXJp1pI56D9+8O5moEVvZ8rkz15ZM4d3FNjTt2IYGr5WntEspWn68jAMdUyj9uop7kddJfZhMcpYttVvVpZSZsdenIaHIxPws/aPeuoHUy7sJjXOmopeeA6sicR9cNt9Byayo1P4tWtasRjVLA2UmbmWrR8W8OTcPb1znob0H1vfukqb3eLYI3kuGoEwiRakmIzWFvH0xVemodVqyjMfyTkwlS+Qlz8iKjrpe1758O7g/fd/If7OBIeUEP4+YyoP3NzO3kyvyJEzRp5xop5I7R06S3NVAc+NSerHeaDUJRSb3Zon3yK2HhlQu7w4lzrkiXvoDrIp0Z3DZR2zIczfoFW2UVovGeANzbwbPWUfnxqIglEWyfNV+Ks2cRy8PM07n9tz1qVc4fEspijBbzGwdi0XGTSka9Pl5+D8C3YODhJb+nG86uaM/kS98Cjot4/6AuphLRMQ3w9vCuOB8P8Hzk2k1aD6+BaIjljXHs3i6gZQTMxkwPo73182lUXUZnkdX8LPfMLYm12Bg2WZU7V0171VtRhgjaJqEIhPzs/Tk03mZ3aFxOFf0Qn9gFZHugylbdIKtsaOjV+Be2RPTuhsLh1ybYqx7evG3AryUJMAi/2Lcx2H0XbewwCv0dMTuC2DxWTmv1fHi/p8/c79pEHWKkS+YXgZf0A4+PhImoMtMRmNTquQ3uPxPoePBwVBKf/4Nndz1nMhrlAXLw7j3p46YSxHENzNuUq7hxv5g5ie3YtB8X/LptqTm+MVMN6RwYuYAxse9z7q5jagu8+Toip/xG7aV5BoDKdusKr2rWuen/0JtNy8Rsbz1KNwr45lDttgBz71cfCbj3NJ8JkoWYJF/jePjsL6sW1jgFXq6WPYFLOas/DXqeN3nz5/v0zSoTvG2bprzXFDjPCESJujITNZgU8rmuTZrfjERJhayWnRYSu0zzMy2acysk+fJds5drSJoC4SrDaSHbyVw3m/MWX6WCnN+K5IxA1l3T7Fz806O30jHve1nbN32hukdhiOGnmLj4kVM6/0hx67Goja3xdbSDNs6o5kf8CU9q9mK6v0hJ+d9yLgpe3hj1VzMkk6zcnEI6U1+4Y8386MhMvsmTN0ewPS336Zpm1AC1/1Ev8q5QkoUWxEhy1i8eiPr4srRWpHzjrW1q0LJqjeJxcO8ckLxI1azJr4HnWu3Zax47nRfHSFzg7hiUfC1JznPlBZXBpf0dQQGFNibxbiaZONWbldMJ2D+EKq+MiMaojhRiwZUqX2mF5baNJ7FyfPZOOcuVxG0BcLVhnTCtwYy77c5LD9bgTm/5bNtXr4nkxc3oWannGikU9NPCFoRyf7Vy9kwZzHnrkRyLy6Rh8aFFXkZsaf7istscFOgvxFHts9vzO9f3rRisfbwuSzrcZ4tK9exLPgyEXdjSExJIz0zG2W2EqVahcGjP0H7/8TFLPc5dZZ4d/BjpL+3KQ8Zh8IJu54bTRObl1NNH6rfns67DcRndBvG9h5l8iNhts347o9HfSI5duUqY5f3dHKsrDM5GzCUT6btwHL8SFxewfnbRWGgFD69m5F+Yh/7CuTX97uxcFY89uiAKMIuJ2dj2sXSBOPQ7Qj65V2hER3DIhbszKTFz1uYWCnXYNu9RgPlx/TxPYSn4iGXQqNp0S2egX1FEWwcdrb0poPfSPy9TWxwKDyM64/Wg8udqOlTndvT36XBrJO4DdtOjzJFe9Mipxq1aKeMFdCcsr698Ew+TdC8gzhOWIhfFWvT9AD3183FnnJ7jmY8wGPy52hbVCoxUmpKUadG/dipE68mFF4dEc2UCVmiGNLpCgwp5sKmzgd80fRLpvjtN4limdyK2u8Mo4pdAeIFFbFhu1i3bjeX9fWZeiiYZrl8lG01ktkhgxi9zJ+O/dqSduwm85rkT5UW9DosvTvgN9KfHDoPER52nXw6a+JT/TbT320g+gs3hm3vQXE6dahKHOrUohR5znrsHFWx/u1byPxQZ9E2L6BOoYlDCjx9RzHafBqdfcdw1qk7gafaF3rVWO5N0Ko1qJPOsXrOTlJ1UcRl3GNTkUhY2slkUtQLGL5wNdF917P9y2ZPf+fuPwoFXh2HkUO3KHy0OnTaYmxT54MvaPrlFPz2G+uyDLlVbd4ZVoXCdMcStmsd63ZfRl9/KoeCm+XyVZZWI2cTMmg0y/w70q9tGsduziOP7n+o7epUuhLamfH1hiIPWZrHt0HNA/YtnE+o81hWL6hTeJ6YwhPfUaMxn9YZ3zFnceoeyKn2LsX7xEadItappHOrmbMzFV1UHBn3NhWJhKVxMjkF9YLhLFwdTd/12/my2XO88UZ4EegShNDlm4TwdMPzX6t5IBzecVZI1hU8Fi3s336u8DF9hnDzQLAQvPecEJ2hK5pKEWiFzMR7wq1rV4SIJE2R31RC7LV7QkbaDeHQ/ktCkvYJyehVQoa6pGcyCCknA4WAQ/GCMvG8sP/oLSFdX9JpKiEpJl14Wm7/V9ixY4fQuXPnfzhVnZAQulzYFJ4u/A22RboPCzvOJguF6d4vbD+X/NLK6XHQZKQKqqc+pE5IDj8n3Mn8O6WhFKKOnRPii1bRv4kWLVoIR44c+WcSeyGohYQbd4TUEgnVCxk3DwkHwh8KJTY9vVJIT0kRHj5MEdJVBRuVRshIVT29zumShfBzd4SS6VALUbt3CuFpOekalNHCiUOXhOQn2YCnQHVrnfD75ijhH6LwmREaGiq0bNnyhdNRR24Slu6JFkvmeSByeCtU2LZ+vbD92E3h4RMfXisknNojXEgpYiA1GULq0xuXSGe4cO5OZsm8i1xfOhEhZBT90ZAl3Dl58THtyiBkRR4U9lx6mr1RCdEnTwl3sh6XR72QcmKRsORYnJCeoRJKMv//JDp16iTs3LnzBVNRC5Gblgp7op+PbaPvvRW6TVi/frtw7ObDJ9d1bYJwas8FoTDd/0TbFe3spRNCRHGyhaw7J4WLjzOiYl2IPLhHuJT8FO+iihZOnrojPJ7uFOHEoiXCsbh0IUP1v2FbZvzfswo2Cf83IDZa5s+fb/qU8N+H6JSZOXOm6VPCfxui2Gby5MmmTwn/fYidacaNG2f6lPDfxP+BwRAJEiRIkCBBgoT/HiQRJkGCBAkSJEiQ8BIgiTAJEiRIkCBBgoSXAEmESZAgQYIECRIkvARIIkyCBAkSJEiQIOElQBJhEiRIkCBBggQJLwGSCJMgQYIECRIkSHgJkESYBAkSJEiQIEHCS4AkwiRIkCBBggQJEl4C/mURls2Zyd3wm3+RzIL79Gef5Zu+YwgMS3um9xKWDBWXZ73DoJmHSCz6iiwTtNxZ9RU/7o4R/3oKBOGJ74TTp4az7sthTNwSgzojlmT1oxeSZhFzP+MFnkFCHrR3WPXVj+yOeSpbPPGlD/pUwtd9ybCJW4hRZxCbrM57EXdWzH0yJLIkSJAg4QXwIn49k2NfjWPukUR04jdl2E+8/00wt1XiF20GqeoCCerTuBuTXcw36+N38t3MEAq6Cn12OupCJwqoU1JQvYLvB3qxF3g/L/TJXDgeh9csb2wLvClTc2cHa0IuMeY76xJVoaDORGNuh6XpRz1pdxMwL++JTaG3bYpfMiOIcCmHU9F3gJpgTsXuHYmu24pxQWeZbh7M0mMZ2NhboyiUjprIdb9zte8ONvl7573AN/PIJwzf4Enzspnce6DGpZovPq5qUs98Q+tpHnwwqDKKhweZ+bs1iy4uxte52KtAJTwPzCvSvWM0dVuNI+jsdMyDl3IswwZ7a0Xhl6yqI1n3+1X67tiEv3cuW5lH+GT4BjyblyXz3gPULtXw9XFFnXqGb1pPw+ODQVRWPOTgzN+xXnSRxb7OxV/cKkGCBAkSno6/6ddzYCD94lb21f+aD43XqCLZc8Cdr74Wk41Zy1ud9uL7fjvczIxiaxffLbRjcfhyOhV4s7qZe1Nqn6zP8M1n2NnHTbTlAslbBtBjb2uGNnXKubeQypEf52KYc4EV3VxfqSHAf0eECWqS49Q4WIZzreUvTG1sjzrmCglONShvoyViQzDmHwThX80i53xtGkkae1xtc4oq69gYmnzvxZh+3ljoHrBl2iLcll8mqGPBt57LMDNXYGVvVbyAtbdYOHAiMf7zeP/DWszXyinVfADvN7LGulgJpLFlwzwe1iidJ8BM0CURkd2bJRNbYlvgcOZBAxYVOjPU/02sotSs2u9ELUfJpb8ItLcWMnBiDP7z3ufDWvPRykvRfMD7NLK2Ll5h07awYd5DapQuyJaOpIhsei+ZSMvCZGGwqEDnof68aRWFetV+nGo5SgJMggQJEp4XL+TXBVQPznD08n3OJWrIuHmE3SHWqK/fJytxLxM6H8L3q2aiRCtH52H+1LcSL4/MZNkOqGpvtNh6lCkpZOqMoS0Dr434lKHl1Vxb/w0brUcyQq5FX7Eb7/nXwHR3/QPka7ajruX0SgkwI/4dEWZIZFM/X/b4DKCmS2nWBl7g4uxJ7OsZyvmvYOl6HfWHnGNN0AWMDjQ+ZDoz4iYRtm8MxuCGzEyO3uFN3vXvhIPmKnFLDlOutlMx5ymTy8RjetJOz+OnMB+m+NfBzniSTIYq+i7mXu5Ub7+Z+XoNBjMLrB9dKIiVIFuOvW1uccjMsDAvkrrcDPmjQ/pUbt7U4V3dFc3DJMzLOhcWbBJeCDKZiui75ni5V6f95vnoNQbMLPLYEunKIFtuTz5dFhSmS45ZPlmk3ryJzrs6rpqHJJmXxVkiS4IECRJeDC/k12VYOpehTAUrKjhb41yxOjVr2qLUumFTqilfBHahlGofyx9/c1Iv7+PAvbv89eVWGn0/kXq3z3LTvC61LZLISBM74qfXsSigTI7IEVIIjdXS7N8qm+fAvyPCjKJG4UDdwZOY8rpRl6aza/dK7PpWJ2PHWG77b2TVuNewNJ2s5tKtuayr15Zyj5xlQQFkhKAlJuRXvk2wwM3ZipzRRz2xp+O457CaNWobPOU3iEirRT0no+6VozAzOuacyzP2DqHTijfwa+1mulZ3byPfbWrA9rM/UN+aEmG8febVLSwJuIqF8j6XbznQZ+porI+lUbtLJVPedUYJmHaP+NR4Ht7JpGy9yti/arL7/wLkCpErs9weSwZ7h3RixRt+tHYzscW9jd+xqcF2zv5QnxLpyiGLLUsCuGqh5P7lWzj0mcpo62Ok1e5CpRyykOnTuBefSvzDO2SWrUdliSwJEiRIeDa8oF+X2ZSlRnVH7lvreRh5mYu21qhvJqC1cqVs+XI4JVqB8h5hx4+hFBPR3b9NhsE79+bmePr0Z5DyNKdnX6RV91742j/KmIHYpeDRehAj/avmBEhMkbAdYi5ePfxrIszcrPigjyHtNEtOtOWnWY+I5js/cwAAIABJREFUMkJAp9ajcDPPj3SJ1xee/mVOmU6fMMyzoNPUcD1xCQdKD2bUCC8KTwuTFxJxMrkBpWNbhvg3w0b8nn3yEkFRvlR7jADLvQj7Gj15zz9/OFIfG8z49PeY4uNg+q7w6IB/86/5euhIZI6N+GTuFFo5S479uSGXFxpmlhuUOLYdgn8zE1ucvBRElG+1kgXYo2vsa9DzPf/84Uh9LMHj03lvig8mthQedPBvztdfD2WkzJFGn8xlSivnVy5ULUGCBAmvJF7Ur+elY4FrtXo0aGCLUu6BVUjeD8gU1jg6O+NsFGEZJUxHKXTjTKJOHSRMW4Pyd5JJu2cMmjjk3O//+0hYERGUAy3xFxIZ+EVLLq3Yi5Vfe8qYJGsOWWZWBSZgi3+obu9gaUA0VroYTiXpKSeKrshlX7PC6X0m9axQgOwSIDONSObDTFHM2T5xhV3Rc7NusvdIHOnXo2k3yhfNratcNf1ioFqDytRtM5opPctJQ5R/EzLTf/kwUxRji2emS8ji5t4jxKVfJ7rdKHw1t7iaQxaGag2oXLcNo6f0zI+6SpAgQYKEZ8AL+vUC6VjYO+HsbIeVg2W+bzbowMqDKtVrUMM4J8zSE+uirkCXQXLCeX4f24cAy9fpOuIDBjTL5I+ppRi16CNGVTY3raaU6aLQrNwOr+AM4H9JhMmQ65M4tXYxAZ7GGJWSS7d1lJ7Sg3ru5nhYT6DrKCUhgT1wNxPQqnQorAooZrEUrb27MjRvTtgh8aAFlfv0Q9WgBYOUp1jb3+3ZcyMqssyr21gedN0k3tQRV0jX93rithTGTGRc386KoAgs1KkkZrnj+/abxIesYKNLJ9p6mRuXbxD8w0JO+/djolCOotPKJPwdiIJMlsnVbcsJum5ii4gr6eh7PYWtjOtsXxFEhIWa1MQs3H3f5s34EFZsdKFTWy9RIOuJD/6Bhaf96TdREEWYRJYECRIkPDte0K8/gpDNnUPBrE+wQhN5gwxDO9NhgzYbrZkV5k8YnhAEKypUrYbVkDl87ltGVAVKbiz+mssDfmeeKMAwpHFtzybWLZrOzChfQpxL3DrhpeJfGo40jiC60qTfcPwfjR2L4uWAyY+a4dFpOF7jZ7IroRtDPA1os0WybCwKkVWiy7Wpw6ixZWl/KBr1E0VY4cgKggz7Gt15d9ij4chzBMx+WmhFvOb1bvgNK7w6koHpXFxmT72+dbGI+p0vhL78MLJ2oaW6Ep4TssKFJ8jsqdH9XYY9Go48F8DT6JLZv043v2GFV0cykPSLy7Cv15e6FlH8/oVA3x9GUlsiS4IECRKeD/+AX89Jx5YqHQfg96YdyjNn+PVIGjcuPKCGZSLpyRfZtDjg/7F3J3BRVusDx3/DMuyLghuCaWEq4J5Jlv3VXMOMbuWupaGVmqaGXhUs80q2mFpmbrlSad7SVNJy67rikpkbKopXUdwAYQAHZGbe/wAuoJjdRIZ5eb6fD6lntoeed3nmnPO+h+15t6i4tJ1LhieLvtT9SSZtWFXwD1MGR39eyf6AiXz5ROWC4sbGg4CO/RhbG85/bKJqGRzxKKVbVCiY7jhp5rUVNGo8nmDU5LHU9C64dDXnqhGHwveDUoxFizDlxnCUHQ+9+m8242Mupgx/FkCR1yvm9zPd9rjJYLxHT9h1pqskHY5l+65jpLnWo2NoU54+/zbfJnxCvc9moRm0gmDXv/JG4q6KjDWac2e87VZ/igmD8a9ky8TVpMPEbt/FsTRX6nUMpenT53n72wQ+qfcZszSDWCHJEkKI/919nddNpO5azMLYTHKqPo7HziXMOW6LSaelWfUdzJxylDbtEsl4pBtvvNGdSprrt6hYU+ijTFeInTuDTVcr4uVyq4ctZ31nqg9pwbjXA3C8GZaRhg21xJ/Jok4dlzI1KFlKw5HFzeEx3UqgjTctXw25/g8j2Zk2uBUe/DUZybn0B9v+44RL7ikSMg1UvX4StnHzxe+vRFDo8xWDntSDK5g/52D+PUSunTxAiv7Z4oswYwp7f/iGFcv/w6ENe+iS/DgtOrxIt5fCCPIqKKur9mvAxK4dOal05ptJj8hcsPtWuGhWMOhTObhiPnMO5meLkwdS0D9bXLaMpOz9gW9WLOc/hzawp0syj7fowIvdXiIsyKsgL1X70WBiVzqeVOj8zSQekWQJIcTfcD/ndRsqNn+VEc3NR/Qjk2k74CShK/6J28pFeP3zPV4KcOD4B8G4t2rAXW+7aVOB4NcjCb6tOXPzFmaeDaHfwHbkXTBpvPQfvtn7EF2frfnnc8ctpNSKsNs7M/Kyd0dbHmMml646Usn11titkj9Bz4uq1arhei0LdzuFa3+pJ+TWZxWu2O39Qhk/uTOvPOmVfxVlblI9Hk2uj1txr7V1QHM2AUPVatT6RxSr5rUsOhyJgbSzKVw9exRdg5exyf+l5Bq7+6EopkJFmD1+oeOZ3PkVnvTKzxZJ9R4luX5x2bLFQXOWBENVqtX6B1Gr5tGyaLIwpJ0l5epZjuoa8LJNQY+oZEsIIf5X93dez5d7igUjFuP96gqerOyNfaeKjA/uwLmfP+PKCjf6f1sb7Z+GkMGBr2fyU4onldy0+RcKZB85RvKJtSxZcBYnc4zXrpzhTEZ19j/xGs3L4N0KSmk40kjutUu3TeDLMifrxpqLaRz8eQsXKtSkunET35ysTG/fWzWrxrEW7V54isBHH8XB5EP4qlVUrXk9dEMqx46m4lbVicTT6RirFnf9g8n8WaabG4dT4Cv0L/SovU9L2nmc4rfdiVT00ZCYQaFLb11pOnwqdTa/ws+LbxvEzIzj31ERzD/fio8OJaDMfJ5OjbYwZPonDA95VO4R9neZzMWR6caQsROBrxTJFj4t2+Fx6jd2J1bER5NIhrntRrpcmw5nap3NvPLz4qJDzkomcf+OImL+eVp9dIgEZSbPd2rEliHT+WR4CI9KsoQQ4q+7z/N63jF536fhbA39N18PqFNwyyG/7kx59xzbVn/AH11n8G3e1Y3Xb85tfy2La4pL0RO8xo0GvUfToFBT5uaNfHa6E336tSvSsWLKPM2xyz7UqVS2hj9KrQgzODxM+z4DGPhw3kdm8Ouh3znqff3jbTwJfLoeCRP70vTDWCr1W0MXn1sVs8sT/2LWjRt82Lji90iheTw2jjhl7mXOqyOYEOPA8AEV7+zZyNtYDNfQ5959GVGNiy81lLkMfWIwy7J7ElOraMdl3hCm/moueX00+rO7WLNiPfsvONO053xigjwKPnP8BmIDx/FqvzpMcHmOiV/NYVTbqqW8QKf1U4y5GK7puXu6NLj41kCZO5QnBi8ju2cMRdKlGNDrr+a/XtGfZdeaFazffwHnpj2ZHxOER0Gy2BAbyLhX+1FnggvPTTQfSEa1paokSwgh7u2+zuvZJKxZSGyT6cxvV71Qb5cDvo08+e+2YXz1dlB+YWa6eopfZn/MexOjudRtM5Xsbrx+PiviTbi4aIuc83Piz5B9bh0L55wqNPyYTfyyD5hz6SW+2TCNkCpl6CpJpVRcUzLSshXTvZ5mSFEO/XZKybznE4uh/6+y/beL5k8qhilLOXfyopL9F943++w+5XBy7h3t187tUvZduKbkJv+ubNp2VEku9oOuf1z2RSXuaIpy57uUjpiYGKVTp04W+vT7Z8o6p5y8+Be2FyVbObvvsHJHuq6dU3btu6Bcy01Wft+0TTn658lSLsYdVVIslawS8OSTTypbt261dBiiFGzZskV56qmnLB2GKCUdO3ZUfvrpJ0uHcRf3cV435SpXsw13PjfnnLJ7d6L5yH7HA0rijt3KuZxbLcZsnZJVzFtYm1L63m+Pq8dfeJptRQKbVPx7H+H4EC2a3OUxjTM+Dzv/pbdxqN6YgGLa7X0ep3H+3xrR+slinlD44xwqU7fOX/o4UQyNsw9/LV0OVG9cTLbsfXi8IFk0uneyqCzJEkKI/9F9nNc1djgVN0te60OzZsW9iRbfJ4o+YOPgxl87q5dtMhFGCCGEEMICpAgTQgghhLAAKcKEEEIIISxAijAhhBBCCAvQ5M3Oz/+LpizdyF8IIYQQQj2UO5cYkJ4wIYQQQghLuHmLiuIqNGGddu/ezYoVK/jggw8sHYooBcOGDWPAgAEEBQVZOhTxgB08eJCvvvqKadOmWToUUQrGjBnDCy+8wOOPP27pUMQDIj1hKpScnMwff/xh6TBEKfntt99IS0uzdBiiFOTlOS/fonzYv38/KSkplg5DPEBShAkhhBBCWIAUYUIIIYQQFiBFmBBCCCGEBUgRJoQQQghhAeWsCFO4emQJHy2LJ9vSoYgHT7nKkSUfsSxesi2EEKLssbv3U6zBNU6vms6iOAcqVXDENr/NXHAdW0NMSjD/aFHpepuB5EO7OJJ5nHVPRBJaQ2vJoMXfde00q6YvIs6hEhUcCzKbV3AdWxNDSvA/aFHpepshmUO7jpB5fB1PRIYi6RZCCFGWqKQI0/JQl3DGdyncZiBh+nzm2YXQb2AjHG+2Dyr16EQJ0z5El/DxFE13AtPnz8MupB8DG93KtqTbiuVeZnf0NFZ7D+G956pd/yJVPFP6fqKnLOG4kxdKsoGGYSN5uZ4Lsg6IlctJZP3ceWxLd8JWl0RGjZcIf/1pKqvkzFU+5ZC4fi7ztqXjZKsjKaMGL4W/ztN3TaqJ9P3RTFlyHCcvhWRDQ8JGvkw9F3Xs3SrelE3o03Jw8nb504O3UAmTnrQcJ7xdJNvWz4Tu6GZWLf2Etyasw2/qa7z7Z0/XH2Ry+xB+HbCdmLCaKPGf80zrUJJ/jWGQv3R/Wi3TZVaHteWT5jGsH+eP1niJlb2a0TH1J3ZGBuJg6fjE32Di8uow2n7SnJj14/DXGrm0shfNOqby085IAotJqv7gZNqH/MqA7TGE1VSI//wZWocm82vMINSwe6t4TpiBjItXcfR2vaMIM+guojNYJCjxoBgyuHjVEW/XO7KN7qIOSbc1scG97jP0HjmCNs73eq6JCytHEnW8JeFda2JvbtH692REg52MGbWOFFkIxHpl7GLmCh0BTX3IP9faVqJFF1/iV8eSbLJ0cOLvyWDXzBXoApriU5BUKrXogm/8amKLS6rpAitHRnG8ZThda+bv3fj3HEGDnWMYtS4FNezeKugJu8alQ/uITzfe1n6VPYdT0fv9wc7tCTdblayDzAwbxvbWS9g2ryt+9qUbrbhP1y5xaF88d6Z7D4dT9fj9sZNb6VbIOjiTsGHbab1kG/O6+iHptiYaNPcacVDM34jnbiKr9mwCXG+8zJ36bWqii5zDjrQuPFfhQccpHgg7T3ycLrD045WMXdYTP7sr7Ft7Bt82TfBScfeButnh6ePEhaUfs3LsMnr62XFl31rO+LahSTFJVZJ/Ze6mLGrPDuDW7l2fNjV1RM7ZQVqX57D23VsFRZgdTvY55Ni4U9nD4VbXXm46Zy55EpA9i16j2rJsbhvc8torPE3Eut/NmXTAwWiuo+3VMa5cbtg5YZ+Tg417ZTwcbu20uelnuOQZQPasXoxqu4y5bfKzbU53BAXpdkDSrUL6U2yNM+LU3Bf3m5uDPV4PV0KTfYTYxBxzESYDV1bJJZgJM7oT070XzV44zvimx/jZawox7zUuNMdXWBcXgifMoHtMd3o1e4Hj45ty7GcvpsS8R+Nikqo/tZU4oxPNfd1vndvtvXi4kobsI7Ek5piLMCvfvVVQhNngVuf/aHNbq5IaT7w+gD7B1dizqwZ1AwLwsEh8okTZuFHn/+7INqnx8egD+hBcbQ+7atQlIECyXS4Y0zmvAwc3xyJzK2ydXdGiMz+WNxBt5UfpcssO326L2K5LocHACQzeGMzY1a2oIRWYVbPz7cai7TpSGgxkwuCNBI9dTau7JNWYft68Fzvg5lhk78bZVQu686hh91Ztp65uz7ccrt2dx9wtHYl48HTs+fYwtbs/hqS7nLFxxM18EDYZTUXnhxgNmMxlmItWtYe4ckBBf3Qx768MYv66GfTwiSWqXXMGrbnI7bMRhPVQ9EdZ/P5KguavY0YPH2Kj2tF80BouFpNUG0c3c41lwmgqOvvLaDCB1gU17N4q+BWKYTzPmml7aTKkPZXlYjnVM55fw7S9TRjSvrJcCVveOPjS2A+yLhe++MJ88k5NIxcf6ldTweVT5dXVvUR0jiRn6Hi6dhhM9L5YJjY/x9zXIonNsnRw4u+5yt6IzkTmDGV81w4Mjt5H7MTmnJv7GpHFJNXBtzF+ZHG58JV0ip7UtFzwqY8adm8VFmEKuu1RfJD2Gu939C7+F1RS2DB9C+mlHZooeYqO7VEfkPba+3T0Ln5zVlI2MH2LZFuV7Hxo1akmypkDJF270ZjD2d/PoakTSssqUpZbK8PFHWxI9KTBQ87593uz8WjOiGkDqJqylz+SpS/MKhkusmNDIp4NHsK5IKk0HzGNAVVT2PtH8h09nHY+rehUU+HMgSRu7d5n+f2chjqhLVHD7q26IsyQ9ANvv32CAfOHE3C3sWJjJkmJ58iQ/djKGUj64W3ePjGA+cMD7jo1wJiZROK5DBnCsDp5wxDmP5SiQxFK1iEWjItgcdxV878cCQwbRtPz37P2dG7BE3Li+TEmg9ajXqG2Cr4pl1d2XoEEuSURG6e7NdRs3hbsKzck0EsFZ9/yyM6LwCA3kmLj0N1KKop9ZRoGemGbd0X7oQWMi1hM3FXzExwDCRvWlPPfr+XW7v0jMRmtGfVKbdSwe6uoCFPIPDyfN8NW02zBdwytd2Oinwaj7gK6QmdgJfMYG3+czqJ9OuR2M1ZKyeTw/DcJW92MBd8N5Va6jegu6AoVXObt4thGfpy+iH06ybZ1UNCfiWXFzBls0UPCqmi+33yYK9eTeu3Ucj6ImsTkH07n/9vefxDLZjdj1bDxfLNhPYvHjmRbx0Us6eunhiuPyi/3VkxZ1J+UcX0Yt2gtG378gvB3E+gxfzJPud775aIscqfVlEX0TxlHn3GLWLvhR74If5eEHvOZnJ/Ua5xa/gFRkybzQ37VZY//oGXMbraKYeO/YcP6xYwduY2Oi5bQ108de7cqfgsl+wybFnzF+vSGvLN8AXUKLWfg6B9KiGYwzzSejbu2oN2QcZnMSu1o7alVUxVaTihkn9nEgq/Wk97wHZYvqMOtdDviHxqCZvAzNJ7tTkG6DWRczqRSu9Z4qmEWZ7mgwalGMC+MXmX+ufNRh6AIdp8OQ+Pjd71FS60ec9n8fBJH45Jg5Ep6+zjLvm317KgaMpVtbZM5eeQEKXRk4ppBVNTKfWasmV3VEKZua0vyySOcSIGOE9cwqKL2+hJjDgRF7OZ0mAYfv+v9XNpa9Ji7meeTjlKwe/fGx1k9e7f1F2HGKxzalkD1nuOZ7HFnF7WNd3umbo9nqgVCEyXPeOUQ2xKq03P8ZO5Mtw3e7aeyPV6yrW72eNbwu6PVxtkn/+7qQl00Dt74Nzb/WDoQUXI0Dnj7Nzb/FPOYvSd37t42OPsEoMbd2/qLMNsK1G/bytJRiFJiW6E+km4hhBBqoJ4+PSGEEEIIKyJFmBBCCCGEBUgRJoQQQghhARpFKbgJT3JyMrVq1bJ0PKIEGAwGvLy8SE+XG5SWB9nZ2djb22NrK/dOUjuj0YiHhweZmZmWDkWUgrx929XVNf+YLqzff//73/xzc2E3i7C8P2THVoeff/6ZOXPm8P3331s6FFEK2rVrx/vvv88TTzxh6VDEA7Zjxw4mTJiQv48L9fvHP/7Bm2++mb+PC+uXV1BrNEVvsXLz6si8B9zc3Eo9KFHynJ2dsbOzk3yWE3m5zsu55Fv98vKc1+MpuS4f8vZtJycnybeKyZwwIYQQQggLkCJMCCGEEMICpAgTQgghhLAAKcKEEEIIISxAijAhhBBCCAuw/rUjhciTe5nd0dNY7T2E956rhtwxy9qZSN8fzZQlx3HyUkg2NCRs5MvUc9Hc5fk5JK6fy7xt6TjZ6kjKqMFL4a/zdGU5xKmDgbPfvUX46UEsCK+Po6XDEaKEyBFKWDkTuqObWbX0E96asA6/qa/xrqVDEvdNf3Ay7UN+ZcD2GMJqKsR//gytQ5P5NWYQ/trbn23i8uow2n7SnJj148yPG7m0shfNOqby085IAh0s8RuIkpR7agH9+81if68+5mwLoR4yHCmsnA3udZ+h98gRtHG2dCyiRJgusHJkFMdbhtO1pr25QYt/zxE02DmGUetSUO54QQa7Zq5AF9AUn/wCzZZKLbrgG7+a2GQ5ZVu9nGPM/+gwgf7Svy3UR4owoRIaNHcbqRJWRUn+lbmbsqjdLgDX620a9/q0qalj7ZwdpN3xCjs8fZy4sPRjVibm5r0DV/at5YxvG5p4ySHOuuk5OOtTUvsN50lPyaVQH9mqhRBliv7UVuKMTvj4ut86QNl78XAlDdlHYknMuf0VLgRPmEF3hxX0avYC7818j8FfejEl5j0ay+QhK6aQufczPje8ybBm7sh3LKFGUoQJIcoUY/p5dDjg5lj48GSLs6sWdObHilnL2M63G4u2z6FdRgwTBn/Ef4M606qGVGDWTEnfwadzXHh7cCOcpQITKiVFmBCiTLFxdDOXYCaMpqKzv4wGE2hd0BZz1FL0R1n8/kqC5q9jRg8fYqPa0XzQGi4aSyloUbJMqWz6aDHVwgcSILW0UDG5OlIIUaY4+DbGj6+5XLjLS9GTmpYLPvWpdsfVkVfZG9GZyJwviOvaAc+X9/FYQAdaRr5G5CsJzHnSpTTDFyUg98RXjF64C7fdIXxX0ELS7lwuH3mLzmcb0+fzmfR75I4NQQirI0WYEKJMsfNpRaeaCisOJHHteU/yT7U5Z/n9nIY6A1tS5faL5AwX2bEhEc9uDxUMW2k8aD5iGgO+eIqdfyRjNBdhcl2ddbGt0okJH1cl9WZPprnQPv0fTpnbe/Z6nMYVJaNCHaQIEyqRN3xl/kO58wYGwso4BhI2rCkzF67l9D8DqG1vrsHifyQmozWjX6ltLsoUsg4tJGqpLb3H9qGesxeBQW4kxcahU+rinT9/SEGxr0zDQC8pwKyQjUcQIT2DCrWk47FwKN8+8qy5CGuB3I1GqIUUYcLKKejP7GLdtzPYojefrFdF832jl2j/dCAV5OxrpezxH7SM2YdfZdj4aoxoY2Dtx9vouCiavn55h6wcTi3/gKhJdjj36s64eu60mrKI/i+G02ecjqFtPElY8QUJPeaz6CnXe36aEEJYihRhwsppcKoRzAujV5l/LB2LKDHaWvSYu5nnk44SlwQjV/bGx/nGjHwHgiJ2czpMg49fwbwgu6ohTN3WluSTRziRAh0nrmFQRa3c1kA1POiyMYdLlg5DiBImRZgQooyywdkngKY+xTxk70kNv9vaNA54+zc2/5RGbEIIcf9UXYTlXt5N9LTVeA95j+eqydiUEEIIUVYYzn7HW+GnGbQgnPp3uxVJTiLr585jW7oTtrokMmq8RPjrT1NZJdWLOu8TZtJxdGM0k/p2oH/Uj5zUy2RtIYQQoszIPcWC/v2YtTGejLst8Wq6zOqwtvyLPowb90/GR0Xw5NY+dPzgMHcsnGGl1FmE2bhT95nejBzRRq6iEUIIIcqUHI7N/4jDgf5/fvVyxi5mrtAR0NSn4FY1tpVo0cWX+NWxJN+tcLMy6izCbtBoZGKuEEIIUYboD87i09R+DH/S88+LEDtPfJwusPTjlSTmmv+tXGHf2jP4tmmCl0qqF5WMqorC7O3tuXz5Mt7e3pYORZSCjIwMQkJC8vMu1C03NxdXV1fZt8uJzMxM3nzzTUuHUaKUzL189rmBN6c1w33tPZ7sEsyEGd2J6d6LZi8cZ3zTY/zsNYWY9xqjltWspAhTobwDdcWKFVm79l5buFCDvAIsMjKS4OBgS4ciHrCdO3cyadIk1qxZY+lQRCno1q0bdnYqOk0r6ez4dA4ub39GI2cNV+75Ajt8uy1iuy6FBgMnMHhjMGNXt6KGWiowpAhTLVtbW/m2XE7k9YB5enpKvsuBvDzn5VtyXT5otVo0GrVMqjGRuukjFlcL5/O/vCq7gv7oYt5fGcT8dc/z46AhRLVrzuXVsXzZuYoqVsOQIkwIIYQQD1buCb4avZBdbrsJ+e56U9Juci8f4a3OZ2nc53Nm9nuEIsuyX91LROdIcr6Io2sHT17e9xgBHVoS+VokryTM4UkXS/wiJUuKMCGEEEI8WLZV6DThY6reWpXdXGOd5j+nzO09e/F444p39GwZLu5gQ6In3R5yzr/ITuPRnBHTBvDFUzv5I9loLsKsvy9M3UWYyYis6SyEEEJYmI0HQSE9KbIsu8dChn77CM+ai7AWefeTUrI4tDCKpba9GdunHs5egQS5JREbp0Op611wtwPzCd2+ckMCvay/AMujkos8b6PoORO7gpkztqAngVXR37P58BWM936lUBPlKkeWfMSy+GxLRyKEEOJerp1i+QdRTJr8A6fzbknh3oopi/qTMq4P4xatZcOPXxD+bgI95k/mKVdLB1sy1NkTpnGiRvALjF5l/rF0LKLkXTvNqumLiHOoRAXH69+GzAXXsTUxpAT/gxaVrrcZkjm06wiZx9fxRGQoNbR3f0shhBCly6PLRnIKr8ruEETE7tOEaXzwyz9e21E1ZCrb2iZz8sgJUujIxDWDqKhVy8UKai3ChLppH6JL+Hi6FG4zJDB9/jzsQvoxsFGhK28GlXZwomSYSN8fzZQlx3HyUkg2NCRs5MvUc7nLwVfRk7BmKpO+/InDGZ40DB1G5Fvt8JXC27qpfN1AcSd7zxr43damcfDGv7H5xyIRPViyKQt1MOlJy3HCWwUTNUXeHbUn0z7kVwZsjyGspkL858/QOjSZX2MG4X9HYZXLqQWv8soaHzq0ao/LlkXMeKc9qw6v49C8Dqq5s3a5c33dwE+ax7B+nD9a4yVW9mpGx9Sf2BkZiIOl4xOiBMgQj9afAAAgAElEQVThSaiDIYOLVx3xdr3j+hp0F3Xm/wqrYbrAypFRHG8ZTteaeasAaPHvOYIGO8cwal0Kd1xnk7mHBQdfYunyqUSMGs9nq3azppcXFxZ/xKZUuSrHapWDdQOFkJ4wYV2uXeLQvnjSb7/K4uoeDqfq8ftjJ9sTbjQqZB2cSdiw7bReso15Xf2QhX3KPiX5V+ZuyqL27ABuzL3VuNenTU0dkXN2kNblOSoUer7JWIEu7zxG9Rv1t40XLbo1we7rTPSGvCJMPfNHypVC6waOXdYTPzv1rRsohBRhwrrYOWGfk4ONe2U8HG4diXPTz3DJM4DsWb0Y1XYZc9u45bdXeDqCdb/nzSlwwGg+H9vL+bjM05/aSpzRiea+7re66u29eLiShuwjsSTmmIuwQmNRNh71eMyj8DsYSU9Mxj6oO8FytrZe5WDdQCGkCBPWxcaNOv/X5rZGhdT4ePQBfQiutoddNeoSEOBR7MtF2WdMP48OB9wcCxdQtji7akFnfixvbPnPJgTlJvDD4kx6TgnDX7o+rZj61w0UQr4mChXQsefbw9Tu/hjulg5F3DcbRzdzjWXCaCo6n8toMIHWBe2fHrUMnPthEps6LebTdhXlAGfVCq8bOIMePrH56wYOWnNR7vkoVEOOUcLqGc+vYdreJgxpX1kVC7qWdw6+jfEji8u6QpdTKHpS03LBpz7V7nrbCYWsA3P5MK4H8yKCcZehZ+t2Y93AoePp2mEw0ftimdj8HHNfiyQ2y9LBCVEypAgT1k3RsT3qA9Jee5+O3sVvzkrKBqZvSS/lwMTfZefTik41Fc4cSOLajcacs/x+TkOd0JZUuUulnXNyKVErfBkd0eHmc3LTU9DLlXRW6ca6gQ2urxtoc33dwKope/PXDRRCDaQIE1bMQNIPb/P2iQHMHx5w12lCxswkEs9lyBCGtXAMJGxYU85/v7Zg6RKznPgficlozahXaqPN6/E6tIBxEYuJu1owZJmb+G/eGfMHDdpU5uxvu9i1axfb180mctpBsqVHzCrZFV438EajytYNFEIm5gvrpGRyeMFwwrc0Y8F3b1DvxmRdjRHdBZ254PK4PjSpkHlsIz9OT6RbyBiaucv3jrLPHv9By5h9+FWGja/GiDYG1n68jY6Lounrl3fIyuHU8g+ImmSHc6/ujKmylZFtXmbGCZix/MNC71OFgVtPUEGKMOt0fd3AF8P7ME43lDaeCaz4Im/dwEWqWTdQCCnChJVRyD6ziQVfrSe94TssX1CHWyvZOOIfGoJm8DM0nu1OwfJiBjIuZ1KpXWs8/3xGtyhLtLXoMXczzycdJS4JRq7sjY/zjfw5EBSxm9NhGnz8tNjwDJ/FK3xm0YBFyVP/uoFCSBEmrIrxyiG2JVSn5/jJeNwxImGDd/upbI+faonQRImzwdkngKY+xTxk70mN2xeYE6qk5nUDhZAiTFgV2wr1advK0lEIIYQQ90/GZ4QQQgghLECKMCGEEEIIC5AiTAghhBDCAjSKWd5fUlJSaNCggaXjESUgOzsbNzc3cnNzLR2KKAVXrlzB2dkZB4c/W1BRqEFOTg5OTk6YTHIH2vIgLS0NDw8PNBq5IlQNDh48SMWKFYu03SzC8nbq8+fPWyQwUbI2btzIwoULWbJkiaVDEaUgNDSUsWPH8vjjj1s6FPGA5d2EdvLkyaxYscLSoYhS0Lt3b1577TVat25t6VBECahWrRo2NkUHIG9eHZn3QPXq1Us9KFHyvL29cXR0lHyWE3k9YJUqVZJ8lwN5ec7Lt+S6fMg7jnt5eUm+VUzmhAkhhBBCWIAUYUIIIYQQFiBFmBBCCCGEBUgRJoQQQghhAVKECSGEEEJYgKwdKaycgj5hDVMnfclPhzPwbBjKsMi3aOertXRg4r6YSN8fzZQlx3HyUkg2NCRs5MvUc7nL/ZIUPQlrpjLpy584nOFJw9BhRL7VDtkMrJwpnf3RU1hy3AkvJRlDwzBGvlyPu20GQlgb6QkTVi331AJefWUBl2u1ov3jHsTNfYf2zd7g5xS5maU10x+cTPuQaGq89S5jxr7LGxU+p13ol5y4Vtyzczm14FVeWXCZWq3a87hHHHPfaU+zN35GNgNrpufg5PaERNfgrXfHMPbdN6jweTtCvzxBsZuBEFZIijBhxTLZs+AgLy1dztSIUYz/bBW71/TC68JiPtqUimLp8MTfY7rAypFRHG8ZTtea9uYGLf49R9Bg5xhGrUu5M6+Ze1hw8CWWLp9KxKjxfLZqN2t6eXFh8UdsSpWtwFqZLqxkZNRxWoZ3pWAz8KfniAbsHDOKdSmSV6EOUoQJ62UyUqHLOzxf3fZ6gw1eLbrRxM6IXm+QIsxKKcm/MndTFrXbBeB6vU3jXp82NXWsnbODtNuebzJWoMs7z3NrM/CiRbcm2Bn16A2yFVgnheRf57IpqzbtAm5uBbjXb0NN3Vrm7Lh9KxDCOkkRJqyXjQf1HqtO4Wk/xvREku2DCA32ko3bSulPbSXO6ISPr/utHNp78XAlDdlHYknMKfp8G496PFa9yFZAemIy9kGhBHvJVmCd9JzaGofRyQdf91s5tPd6mEqabI7EJpLzJ68WwlrIEUqoSC4JPywms+cUwvztLR2M+JuM6efR4YCbY+HDky3OruZCS2d+zHCPN8hN4IfFmfScEoZsBtbKXEif14GDG0U3A2cKNgMd99oMhLAGcnWkUA3DuR+YtKkTi79uR0X5emG1bBzdzCWYCaOp6FCi0WACrQvaP82tgXM/TGJTp8V83a6ifMu0WjY4ujnkTzkouhkYKdgMtJJboQqyHQtVULIOMPfDOHrMiyDYXa5ft2YOvo3xI4vLhbu8FD2pabngU59qd73thELWgbl8GNeDeRHByGZgzRzwbewHWZcpuhmkUrAZVEPuPiLUQIowYf1yTrI0agW+oyPoUOX67OzcdFL0cn8Ca2Tn04pONRXOHEi6dSuCnLP8fk5DndCW3Ejx7XJOLiVqhS+jIzpwazNIQTYDa2SHT6tO1FTOcCDp1g0pcs7+zjlNHUJbVuEum4EQVkWKMGHdchP59ztj+KNBGyqf/Y1du3axa/s6ZkdO42C2dIVYJcdAwoY15fz3azmdW9CUE/8jMRmtGfVKbbR5PV6HFjAuYjFxVwvGqnIT/807Y/6gQZvKnP1tV/52sH3dbCKnHUQ2A+vkGBjGsKbn+X7taQo2gxzif4who/UoXqkt/WBCHWROmLBeplQ2jmzDyzNOwIzlfFjooSoDt3Kigpx9rZM9/oOWMfvwqwwbX40RbQys/XgbHRdF09cv75CVw6nlHxA1yQ7nXt0ZU2UrI9u8TMFmUGQrYODWE8hmYKXs/Rm0bDaHXx3G+GojaGNYy8fbOrIoui9+cuYSKiGbsrBeNhV55rN4lM8sHYgocdpa9Ji7meeTjhKXBCNX9sbH+UbHvQNBEbs5HabBxy9vgvYzfBavIJuB+mhr9WDu5udJOhpHEiNZ2dsHZxm/ESoiRZgQooyywdkngKY+xTxk70kNv1IPSFiCjTM+AU0pbjMQwtqp8ztF3mK+q6N47dmnCG7ZmdenrOesLDYmhBBClBG5XNodzb9GhjNxxtdsOJF171VODGf57s0efHwwuzQCLBUqLMJkMV8hhBCirFL08Xw9oBnNRh+j2fBJRA7pRVt/F/58+mbeub0//WZtJD5DPSdz9Q1H3lzM9+WCteTeGUzHvnUIyVvM96P2vOwts3SFEEIIi8g9Q3TPJwhLGMKO7e/S1PWvnZNzjs3no8OB+Nvuf8ABli7V9YTJYr5CCCFEWWTk7LdhDFzpyBuzw/9yAYb+ILM+TaXf8CfxVFnVorqesPzFfD0Kt9xYzLd7uVnM197enitXrvDII49YOhRRCi5dukS3bt1wdHS0dCjiAcvOzsbOzk727XLi8uXLDBo0yNJhlJzcE0R/uJ5sj/ZoV7xF5xG/cdauLs8Nm8TYf/jjVFxNpmSy97PPMbw5jWbua0s95AdNdUXYHcrhYr65ubm4uLjwyy+/WDoUUQq6du3KqFGjeOyxxywdinjA9uzZw5QpU1i6dKmlQxGloH///tjaqmdtAOXKb8QcAZd2z9M34g3qO6WwZeKzPPNSC86sO8rCDhVvmxemkL7jU+a4vM1njZzRXLFQ4A+Qyouw8ruYr1arlW/L5YSTkxPVq1eXfJcDSUlJ+T2ekuvywdnZXHho1DOP2aBLIq+OatD3RYLc8s7IlXh61HTCZj/JV1M282n7F/Eq9OuaUjfx0eJqhH8egFr7+VVchBVazDdSFvMVQgghLMnWxRtX859Ggyn/dhT5p2XnR2lVG2YlneKKAbxujljlcuKr0Szc5cbukO+uNyWxO/cyR97qzNnGffh8Zj8esfIVrFRbhN1tMV+DmxdO5alLTAghhCgDbCo0olVNiN5/jhyq4ZTXqLHB1kaDbZWH8CxSkdhSpdMEPq6aivFG09W9nP7PKXN7T3o93piKKhipVWURdmMx36feeiF/Md+z5jbDlf2s3lWH0eNbFSReCCGEEKXHMYD+g5sw7fNo/vjXYwTndYvpT7DtdEU6f/I0FTUKWYcWErXUlt5j+1AvKISeQYVen+7BwqHf8siz5iKshbOlfosSpboizJS6URbzFQWUqxyJnsHB4KF0q63WGQVCCGEttDw69HsWHu/K669OYuyARmT+MouE3kv56oUq2JDDqeUfEDXJDude3RlXz8rHGv8C1RVhNhVlMV/Vu3aaVdMXEedQiQqO1/ujzQXXsTUxpAT/gxaVrrcZkjm06wiZx9fxRGQoNdS/PwshRNmmrUn3ObsIvXicI6ev4j72e/p7aa9fFelAUMRuTodp8PEr5oDt0YWNOZdKOeAHS3VFmCgHtA/RJXw8XQq3GRKYPn8ediH9GNioUK+Xim6xU76YSN8fzZQlx3HyUkg2NCRs5MvUc7lbV3YOievnMm9bOk62OpIyavBS+Os8XVkOcVYtJ5H1c+exLd0JW10SGTVeIvz1p5G0WjsNjlXq0KRKMQ/Ze1LDr9QDshjZlIU6mPSk5Tjh7aKCmZoC/cHJtA/5lQHbYwirqRD/+TO0Dk3m15hB+N/xBdnE5dVhtP2kOTHrx5kfN3JpZS+adUzlp52RBDpY4jcQ9810mdVhbfmkeQzrx/mjNV5iZa9mdEz9iZ2RgUhahRrIdYJCHQwZXLzqiLfr7UWYAd1Fnfm/wmqYLrByZBTHW4bTtWbe9epa/HuOoMHOMYxal8Kdi49lsGvmCnQBTfHJL9BsqdSiC77xq4lNVs9Cv+VOxi5mrtAR0NSHgrRWokUXX+JXxyJpFWohPWHCuly7xKF98aQbb2u/uofDqXr8/tjJ9oQbjQpZB2cSNmw7rZdsY15XP8rJoglWTUn+lbmbsqg9OyD/nkJ5NO71aVNTR+ScHaR1eY4KRV5hh6ePExeWfszKscvo6WfHlX1rOePbhiblZKkyVbLzxMfpAks/XsnYZT3xs7vCvrVn8G3TBEmrUAspwoR1sXPCPicHG/fKeDjcOhLnpp/hkmcA2bN6MartMua2cctvr/B0BOt+N5/EHRwwKmAvV8eWefpTW4kzOtHc1/1WV729Fw9X0pB9JJbEHHMRVmQsyoXgCTPoHtOdXs1e4Pj4phz72YspMe/RWC6KtV4uwUyY0Z2Y7r1o9sJxxjc9xs9eU4h5r7Fq754uyh8pwoR1sXGjzv+1ua1RITU+Hn1AH4Kr7WFXjboEBHgU+3JR9hnTz6PDATfHwt0dtji7akFnfixvbPm2CUF2vt1YtF1HSoOBTBi8keCxq2lVQ07V1s0O326L2K5LocHACQzeGMzY1a2QtAo1kU5doQI69nx7mNrdH8Pd0qGI+2bj6GausUwYTUVnf+UtdYLWBW0xRy1Ff5TF768kaP46ZvTwITaqHc0HreHi7cPWwooo6I8u5v2VQcxfN4MePrFEtWvOoDUXkbQKtZAiTFg94/k1TNvbhCHtKyPXRlo/B9/G+JHFZV2hyykUPalpueBTn2p3XB15lb0RnYnMGcr4rh0YHL2P2InNOTf3NSJjs0ozdFGSru4lonMkOUPH07XDYKL3xTKx+TnmvhaJpFWohRRhwropOrZHfUDaa+/T0bv4zVlJ2cD0LemlHJj4u+x8WtGppsKZA0lcu9GYc5bfz2moE9ry5lqwNxkusmNDIp4NHsI5b86fjQfNR0xjQNUU9v6RLL0mVspwcQcbEj1p8JAzBWltzohpA6iaspc/kiWrQh2kCBNWzEDSD2/z9okBzB8ecNf7Bhkzk0g8lyEnY2vhGEjYsKac/34tp3MLmnLifyQmozWjXqmNNu+q10MLGBexmLirirlq8yIwyI2k2Dh0N0cwFRT7yjQM9JLeUStl5xVIkFsSsXG6W7clURTsKzck0EuyKtRBJuYL66RkcnjBcMK3NGPBd29Q78ZkXY0R3QWdueDyuH7yVcg8tpEfpyfSLWQMzdzle0fZZ4//oGXMPvwqw8ZXY0QbA2s/3kbHRdH09cs7ZN2+vpw7raYsov+L4fQZp2NoG08SVnxBQo/5LHrK9Z6fJsoo91ZMWdSfF8P7ME43lDaeCaz4IoEe8xchaRVqIUWYsDIK2Wc2seCr9aQ3fIflC+pwayUbR/xDQ9AMfobGs93R5rcbyLicSaV2rfEsbka3KJu0tegxdzPPJx0lLglGruyNj/ON/N25vpxd1RCmbmtL8skjnEiBjhPXMKjijfXohHWyo2rIVLa1TebkkROk0JGJawZRUStZFeohRZiwKsYrh9iWUJ2e4yfjcceIhA3e7aeyPX6qJUITJc4GZ58AmvoU81Bx68tpHPD2b2z+KY3YRGnROHjj39j8Y+lAhHgApAgTVsW2Qn3atrJ0FEIIIcT9k/EZIYQQQggLkCJMCCGEEMICpAgTQgghhLAAjWKW95fU1FSeeuopS8cjSkBmZib29vY4ONztzllCTZKSkvD09MTZ2dnSoYgH7OrVq/l/Sq7Lh/Pnz+Pt7Z1/PBfWb/v27VSoUKFI280izGg0cuzYMYsEJkrWli1b+Oabb5g1a5alQxGloHfv3gwfPpymTZtaOhTxgP32229MmzaNJUuWWDoUUQpef/31/P27ZcuWlg5FlIA6depga1v0sv6bV0fmPRAQEFDqQYmS99///hdXV1fJZzmR1ytSq1YtyXc5kJKSkp9vyXX5kHccr1GjhuRbxWROmBBCCCGEBUgRJoQQQghhAVKECSGEEEJYgBRhQgghhBAWIEWYEEIIIYQFyNqRwurlJP7C5+9/xo8HruAa1IXh74+gfXW5r451M5G+P5opS47j5KWQbGhI2MiXqeeiuesrlIx9fPn+fI7or7+DwZmnRk+iZy3ZFqyfgbPfvUX46UEsCK+Po6XDEaKESBEmrJrxwipGvbOJur3DmRiyhxlDwumwF+L2jKau1tLRib9Lf3Ay7UN+ZcD2GMJqKsR//gytQ5P5NWYQ/sXm1UDid5HM3JhGBZeCDn7HekMY4ycFmBrknlpA/36z2N+rj7k8F0I9pAgTViyXpN+z6DNnKo955PWQPE190y+s7r6ReL0UYVbLdIGVI6M43nIFXWsWFFH+PUfQYMyrjFrXje+7eHFHf5j+APN/CiZ6RySNpJtEXXKOMf+jwwT627Lf0rEIUcJkTpiwYvb4depxvQDLo5CTcY3K7fvS2NWigYn7oCT/ytxNWdRuF8CNNGrc69Ompo61c3aQdscrTCT/8i+m/TCFl1qHMujDf3MgzVi6QYsHRM/BWZ+S2m84T3rK6Uqoj2zVQiUUrh5dxOj5Acxe0BNf23u/QpRN+lNbiTM64ePrfusAZe/Fw5U0ZB+JJTHn9lcYuWrzFG++2YHql3/my3++TMOHn+OLG5PDhJVSyNz7GZ8b3mRYM/c7ez+FUAEpwoT1M6Xx+5LRvPTs60Rv+ZLn2o5jh06xdFTibzKmn0eHA26OhQ9Ptji7akFnfsxw+yvsqfHcCD6YuYz/xKdwctVogvVrGdJ9GkevlWLgokQp6Tv4dI4Lbw9uhLNUYEKlpAgT1s/Gk8Z9PuKnk6kcmhOK54EPeWf5OUtHJf4mG0c3cwlmwmgqWkgbDSbQuqD9s6OWxpmHn4ti1Tcv4HZoOZsvyLCkVTKlsumjxVQLH0iAzPETKiZFmFAPjSuB/aczqakdZw6ct3Q04m9y8G2MH1lcLtzlpehJTcsFn/pUu+cFFzZ4t+xOI+drZF2Ta+msUe6Jrxi9cBffDAqhXbt25p8XGL87l8sr3qLzs2EsOCldnEId5OpIoS62njzkU4Hq9apYOhLxN9n5tKJTTYUVB5K49rwn+TVXzll+P6ehzsCWVPkL8/2U3CyMngE0qCy3qLBGtlU6MeHjqqTe7Mi8yt7T/+GUub1nr8dpXFEmfQp1kCJMWDGFnItxnDDUIqC6U/7EXeXKLn5MfpaIF30tHZz4uxwDCRvWlJkL13L6nwHUNtdROfE/EpPRmtGv1DYXZQpZhxYStdSW3mP7UM/2HFvXHsLz6bbUr5h3SLvGieVLcXjjI1q6W/qXEX+HjUcQIT2DCrWk47FwKN8+8qy5CGuBs8UiE6JkSREmrFg2+//VgeAZWTwR9g59H69A1oUM2i+eSedKMtJuvezxH7SM2YdfZdj4aoxoY2Dtx9vouCiavn55h6wcTi3/gKhJdjj36s4/3Tfzr559+UXThH5jX6UBSVxwj+C7MQ1xsvSvIoQQf0KKMGHFnGg+/Rjn3jjM6SwHqvrXpWZFrVzKrgbaWvSYu5nnk44SlwQjV/bGx/lGYe1AUMRuTodp8PHTYksffrrYiiNxZ9E7VqN23YeooJWtQF086LIxh0uWDkOIEiZFmLBuNs74BDbDx9JxiAfABmefAJoWl1x7T2r43fqnrZsf9R/3K+aJQghRdqm0CMsh8ZfPef+zHzlwxZWgLsN5f0R7ZE1nIYQQoizI5dLuZcxZ9gdKrUY80TGUZ/xdihnJMJG+P5opS47j5KWQbGhI2MiXqeeijt5uFRZhRi6sGsU7m+rSO3wiIXtmMCS8A3uJY8/oushygkIIIYTlKPp4vhn6MmNPPMecJZPo4Hv3M7P+4GTah/zKgO0xhNVUiP/8GVqHJvNrzCD8VXBCV18RlpvE71l9mDP1MQrWdK6P6ZfVdN8Yj16KMCGEEMJycs8Q3fMJwhKGsGP7uzR1/ZMeLdMFVo6M4njLFXStWTCU5d9zBA3GvMqodd34vouX1c8BVt8lZPZ+dOpxvQDLo+SQca0y7fs2RtZ0FkIIISzFyNlvwxi40pE3Zof/eQFmpiT/ytxNWdRuF3Dz/K1xr0+bmjrWztlB2oMP+IFTX09YYcpVji4azfyA2fy7py/l5fZ+Wq2WjIwMGjdubOlQRCk4ffo0/fv3x8XFxdKhiAcsKysLg8Eg+3Y5kZiYiMmkolUfck8Q/eF6sj3ao81b/WDEb5y1q8tzwyYx9h/+ON1Wk+lPbSXO6ERzX/dbPUb2XjxcSUP2kVgSc56jgkNp/xIlS7VFmCntd76OGse709ZyKvcb2npsZWtUC9ytve/yL7h27Rr29vbMnz/f0qGIUtCvXz+GDh0qJ+ZyYN++fXzxxRd89dVXlg5FlIIhQ4ZYOoQSpVz5jZgj4NLuefpGvEF9pxS2THyWZ15qwZl1R1nYoWKR4UVj+nl0OODmWHjQzhZnVy3ozI/lrWwmRVjZZOPZmD4f/UTv8YeZ1+dpBn74DssHb+U13/LRH+bo6Cgn5XLC1dWVRx99VPJdDmRmZub3eEquywd3d3dsbNQza8igS+KK+c8GfV8kyC3v96rE06OmEzb7Sb6asplP27+IV6EqzMbRzVxjmTCalCLvYzSYQOuCVgX/a1TwK/w5jWsg/adPoqndGQ6cl0VfhRBCCEuwdfHOn9uVV0TdLKucH6VV7bxr6k5xxVD0+Q6+jfEji8u6Qg8oelLTcsGnPtVUcKWd6ouwPLaeD+FToTr1qqggY0IIIYQVsqnQiFY14dz+c+TcaNTYYGujwbbKQ3jeNjZn59OKTjUVzhxI4mYXSs5Zfj+noU5oS6qoYGBLfUWYksPFI4c5p79RZytc2fUjyc9G8GI5GYoUQgghyhzHAPoPbkLyimj+yLzepj/BttMV6fzm01TUKGQdWsC4iMXEXTWfwx0DCRvWlPPfr+V0bsHTc+J/JCajNaNeqa2KW06pb05Y9n7+1SGYGVlPEPZOXx6vkMWFjPYsntkZWdO5nFGuciR6BgeDh9KttqOloxFCiHJOy6NDv2fh8a68/uokxg5oROYvs0jovZSvXqiCDTmcWv4BUZPscO7VnXH1tPgPWsbsw68ybHw1RrQxsPbjbXRcFE1fP3WUL+r4LQpzas70Y+d44/Bpshyq4l+3JhVlMV91uXaaVdMXEedQiQqO13s3zQXXsTUxpAT/gxaVrrcZkjm06wiZx9fxRGQoNdTwtUkIIayZtibd5+wi9OJxjpy+ivvY7+nvpb1+VaQDQRG7OR2mwcfv+gFbW4seczfzfNJR4pJg5Mre+Dirp0dFfUUYeWs6+xDYTJZ0Vi3tQ3QJH0+Xwm2GBKbPn4ddSD8GNirU6zWotIMTJeN/Xy9OydjHl+/P54j++jsYnHlq9CR61pJFY61WTiLr585jW7oTtrokMmq8RPjrT1NZlWeu8kSDY5U6NKlSzEP2ntTwu73RBmefAJqq8LQum7JQB5OetBwnvF1k3p8a/O/rxRlI/C6SmRvTqOBS8C3Zsd4QxvhJAWa1TJdZHdaWT5rHsH6cP1rjJVb2akbH1J/YGRlo7beHEiKfevr0RPlmyODiVUe8XW8vwgzoLuowFPsiUSbdXC8u/Pp6cdqC9eJ2jmHUuhSU4l6jP8D8n4KJ3rGdrVu35v+sn9MNlUwbKZ8ydjFzhY6Apj4FE7BtK9Giiy/xq2NJVtFN5EX5JocoYV2uXeLQvnjSjQdYr5IAACAASURBVLe1X93D4VQ9fn/sZHvCjUaFrIMzCRu2ndZLtjGvqx/SL1L23Vwvbvad68VF5q0X1+U5KhR5hYnkX/7FtB82Ed36N9qH9uaN11+ggaf0ilo1O098nC6w9OOVjF3W01xQX2Hf2jP4tmmCl3QfCJWQTVlYFzsn7HNysHH2oEKFCjd/XHPPcMkzgOxZvRj1u9319or4Ph3But/X8s+mDhiL7UIRZc2N9eJ87rpe3O2vMHLV5inefLMD1S//zJf/fJmGDz/HFzcmhwnr5BLMhBndcVjRi2YvvMfM9wbzpdcUYt5rjFzrLNRCesKEdbFxo87/tbmtUSE1Ph59QB+Cq+1hV426BAR4WCQ8cf/+9/Xi7Knx3Ag+eI78q2QT1rxPr64fMqT7NJ7ZO4a6clWslbLDt9situtSaDBwAoM3BjN2dStqSAUmVER6woQK6Njz7WFqd38Md0uHIu7bfa0Xp3Hm4eeiWPXNC7gdWs7mC7ePWwvroaA/upj3VwYxf90MevjEEtWuOYPWXESyKtRCijBh9Yzn1zBtbxOGtK+MzAKyfve/XpwN3i2708j5GlnXZAa31bq6l4jOkeQMHU/XDoOJ3hfLxObnmPtaJLFZlg5OiJIhRZiwboqO7VEfkPba+3T0Ln5zVlI2MH1LeikHJv6uklgvTsnNwugZQIPKcimGtTJc3MGGRE8aPOScfyNPG4/mjJg2gKope/kjWfrChDpIESasmIGkH97m7RMDmD884K73DTJmJpF4LkOGMKzFPdeLu219OXOBtnXlOg6m3ug5u8aJ5UtxeGMcLWV82mrZeQUS5JZEbJzu1m1JFAX7yg0J9JI+b6EOMjFfWCclk8MLhhO+pRkLvnuDejcm62qM6C7ozAWXx/WhSYXMYxv5cXoi3ULG0MxdvneUffb3WC+u6Ppy/3TfzL969uUXTRP6jX2VBiRxwT2C78Y0xMnSv4r4+9xbMWVRf14M78M43VDaeCaw4osEesxfxFOu9365ENZAijBhZRSyz2xiwVfrSW/4DssX1OHWSjaO+IeGoBn8DI1nu1OwZKiBjMuZVGrXGs8/ndEtypQ/XS+u6PpytvThp4utOBJ3Fr1jNWrXfYgKsl6sCthRNWQq29omc/LICVLoyMQ1g2QtYKEqUoQJq2K8cohtCdXpOX4yHneMSNjg3X4q2+OnWiI0UeL+ZL2429aXs3Xzo/7jdyw4J1RA4+CNf2Pzj6UDEeIBkCJMWBXbCvVp28rSUQghhBD3T8ZnhBBCCCEsQIowIYQQQggLkCJMCCGEEMICNIpZ3l+uXLlCp06dLB2PKAFpaWnkpTVvEWuhfidPnqRy5cq4ublZOhTxgGVkZJCTk4O3t7elQxGl4NSpU1StWhUnJ7nZihqsW7cOT0/PIm03izCDwcDevXstEpgoWTt27ODf//43n376qaVDEaXg9ddfZ9CgQTRs2NDSoYgHbP/+/cyaNSv/R6jf8OHD6dq1K0888YSlQxEl4LHHHsPOruj1kDf/lfdAcHBwqQclSl5qamp+tS35LB/yesACAwMl3+VAbm5ufr4l1+VD3nG8bt26km8VkzlhQgghhBAWIEWYEEIIIYQFSBEmhBBCCGEBUoQJIYQQQliAFGFCCCGEEBYgRZgok3Iv72bBuEhWnzeW7BsrehJWR/Has08R3LIzr09Zz9lrJfsR4u8wkb5/MeNHRvBB1DhGvv8dcVnKPV917+0kl0u7o/nXyHAmzviaDSeyuPe7irLHwNnv3qTHxwfJtnQoQpQgKcJE2WLScXRjNJP6dqB/1I+c1JfkKTOXUwte5ZUFl6nVqj2Pe8Qx9532NHvjZ1JMJfgx4n+mPziZ9iHR1HjrXcaMfZc3KnxOu9AvOXG3AvkvbCeKPp6vBzSj2ehjNBs+icghvWjr74Lmwf4q4gHIPbWA/v1msTE+A9lVhZpIESbKFht36j7Tm5Ej2uBc0u+duYcFB19i6fKpRIwaz2erdrOmlxcXFn/EplTpH7EY0wVWjozieMtwuta0Nzdo8e85ggY7xzBqXUrxPVf32k5yzxDd8wn67w7lh9Xv08FX+0B/BfEA5Rxj/keHCfS3tXQkQpQ4KcJE2aTRlHiPhclYgS7vPE/1G8dyGy9adGuCnVGP3iBFmKUoyb8yd1MWtdsF4Hq9TeNenzY1dayds4O0P3txsduJkbPfhjFwpSNvzA6nqav0fVkvPQdnfUpqv+E86SmnK6E+slWLcsPGox6PVS/cI2IkPTEZ+6BQgr1kV7AU/amtxBmd8PF1v3VAsvfi4Uoaso/EkpjzP75h7gmiP1xPtkcg2hVv0blFQxo93Y3I709QoqPb4gFTyNz7GZ8b3mRYM3cZRhaqJGceUX7lJvDD4kx6TgnD397SwZRfxvTz6HDAzbHw4cgWZ1dzwawzP2b4395PufIbMUfA5fHn6RsxjzVbNvBZ6wQmv9SCN35JlYn5VkJJ38Gnc1x4e3AjnKUCEyolRZgopwyc+2ESmzot5tN2FWVHsCAbRzdzCWbCaCpaHhkNJtC6oP0fk2PQJXHF/GeDvi8S5GZ+sV0lnh41nbAql/l2ymZk+p8VMKWy6aPFVAsfSICjpYMR4sGxu/dThCgbTGmH2HJYS6Pmj+J5X1uuQtaBuXwY14N5kcG4y7dsi3LwbYwfX3O5cJeXoic1LRd86lPtf5xTb+vinT+3LK+Iy6u38tPr/CitasOspFNcMX+Ml/R8lmm5J75i9MJduO0O4buCFpJ253L5yFt0PtuYPp/PpN8jcrGFsH5ShAmrYeNZm5qXRtEp6A+CJ8xlUtfaf2uYIufkUqJW+DI6ogNVrk/Sz01PweDmhZN0iZU6O59WdKqpsOJAEtee9yT/1Jpzlt/PaagzsOXNHP1VNhUa0aomRP8/e3cCF1W5/3H8MyzDpizikiRGhddENM00r2nXKHHN5X9b3Esjb1nqTURzv1mSaWqpt1xK1OhmWrllWl3N0kzM2+KGCskLF7RAFBRHHJj5g0su4VbAcIbv+/WaO3nmnPHnfc6c8zvPec7z+/EguVTHq3ChyQVXFxOu1W75kwm8lAbXam15cdJNZP42/dtJtqR+RUrB8u49mtCwkp6UFOegU46UTbb8M/MB2S+5deRBSJeprJgaygddG9N76a83PGeQdf+HDBn+E/UjqnLgfwkkJCTwzepZjH59G6fUI+YYnnWJGtSIQx+tItV6dlFu0jJWHr+foY/XKkjK7ORsj2PkqAUknrzsXmJR+4lnGH2fvYuMJfH8dOLcMksyG1Ir0eGZ+6ikdi7zXPzCad+9F716nX915YFgMxXqtCtIwjrSIEBJmDgHXRNK2WK3sC9hNe/P+BoLuSyP/4gGD0dyX90Azh52Xagc+RKvtV5MzOd7OdWl6nXPJ2bLXEN0xCPMSIYZi1+96JNq9FufTIBOzg7iTmj/D5i14wkGjanO4Ig8Vk3aQJv58fQOLjxE5ZKy+BVix7vh3aMrI+uYr7GfmPnLwI+Yt+dR/vHEeEY81YATn89kb8+FvNOlmq48RaTMMNntdg1TdTKffvopM2bMOPPurPKzUzlIMDV9dUpt3rw5EyZMOPNubDZOpu0iMQ2qh91BkPdFbWs9xr7DJoKC/W7gytHOqV/2sDP1JL631+X2QLPhpzlYv349I0aMOPMuzq9t27YMHDjwzLs4J/WEiSG5+t5CTUcHIcXMBe+gMBoFFfGRuz81g2/0+0x4VqvNXdWKITQRkRKgbgQRERERB1ASJiIiIuIASsJEREREHEBJmIiIiIgDaGC+EzKbzZw8eZK//e1vjg5FSkFycjIDBgzA19fX0aFICcvKytJvuxxJSkpCExg4NyVhTuj06dNn3seNG+fgSKQ0PPfcc/Tt25f69es7OhQpYVu3buXtt9/Wb7ucGDp0KDbbjU5JLUaiJMxJeXt762q5nPDz86Nhw4ZOME+YXIuLi8uZHk/9tsuHSpUq4eqq6gDOTGPCRERERBxASZiIiIiIAygJExEREXEAJWEiIiIiDqAkTERERMQBlISJc7CmszluJKNXHCLf0bHIH2Aj68cFjIkexSuxI4ket4jEnOuZH8nKr5vjeTk6hpdmvMd/k3P43VZ5B1j0TDcmbTtVAnFL6cjjwKJn6DZpG2pFcSZKwsTgbGTvWkP8+N607hvLsp8tvz8JS5ln2TaByPbx1BwwluEjxvJ0wHRadX6L5NNX3sZuSeK9pxrTeNhuGj8/ntHP9eDBUB9Ml6xlJSWuL31mriHpuOZbMiprShx9+8xkTdJx1IriTJSEicG54HvHA/SMHkyEt6NjkT/Edpil0bHsaRHDoyHuBQvMhHYfTP1vhzN09ZGik2rrPuK7/5W+mzvz8YpxtK5hLvKrc3fPZeKOuoRqqiXjyt3N3Ik7qKtGFCekJEychAmT6dprSdljz1jHnLU51GoVRoVzy0y+9YgIyWbV7I0c+90W+Rx4P4p+Sz15elYMjSpcoeEt25g5JZM+z9+Lv450BmVh28wpZPZ5nnvViOKEtFeLiENZUtaTmO9FUA3fCwck90Buq2Li1M5N7M+9bANrMvGvfsEpv7qYlwygQ7M7aXDfY4z+KBnL+W4z+wm2TJtO3jODaOyr7NyY7JzYMo3pec8wqLEvakVxRkrCRMSh8rMOkY0HFT0vPhy54l3BDNkFn+Vdur796P9YuRN8mnSi96i3+eTr/zLt/r1MeLgZT3+eWXDqtpO1cQqzff7Jsw28dfI2KHvWRqbM9uGfzzbAW40oTkpJmIg4lItnxYIUzEa+7dLRX/l5NjD7YL7sKJWXncbRgvf6vf9OeMWCD92qcN/QN4iqls77k78k48haJi6oTky/MDxL758hxcmWydqJC6ge048wNaI4MRXwFhGH8qjRkGDeI/3iLi+7hcxjVgiqR/XLxty7+lQ+M3asMEkrTNvOdJJ4/4WWtWBmWjI/zlnMvISKbG6/6OwG1jQ2W9PZOaADBxr2Yvqbfbi96HH8UkZYk99h2LwEKm5uz9lWtJK22Ur6zgF0ONCQXtPfpI8aUZyAkjARcSi3oJa0DbGzZGsapzv5c+bUmnuAHw6aqN2vBdUueyjOJaABLUMg/seD5FIdr8KFJhdcXUy4Vgvh9vYvMunmzAvzxZ3cQupXKVRr250eTRpSSQ/ZlXmu1dry4qSbyLzQiGxJ/YqUguXdezShoRpRnISSMHEShbezCt7smiXMcDzrEjWoEW/OW0XqC2HUci/IwZKWsfL4/Qx7vFZBUmYnZ/s8Yhe60nNEL+p4h9H32bt4fXo8P718N00Lu8UsyWxIrUSH11oSUq8at9W76Puz/Jg38H1ub1eQhDXTPCZG4OIXTvvu4RctycJv3kDev71dQRLWDLWiOAslYWJwdiz7Elj9/gy+thScvJfH81GDh4m8ry4Bulg2CHdC+3/ArB1PMGhMdQZH5LFq0gbazI+nd3DhISqXlMWvEDveDe8eXRlZx8xfBn7EvD2P8o8nxjPiqQac+Hwme3su5J0u1TTQVUQMQ0mYGJwJr5pN6TJsecHL0bHIH2a+lW5zvqRT2i4S0yB6aU+CvM+nUx6Ej9pMapSJoOBz44DMIXSdnUDnX/awM/UkviM+om+guegnIf06sib311L6h0jJ8KPjmlzUiuJslISJSBnhgndQGI2CivjI3Z+awZcvNOFZrTZ3VSuF0ERESoBxeu5LrECzHcveFcQ+2Y7mTVvQ4R+T+eLAVQrWiYiIyI3LO8CiZ7oxadv1lWHPO7CIZ7pN4pLVc/fzxYyxjB0/gXHDBhLz76/5Ne+KX1HmGSAJK9kCzYWFYZ94PI70W1sS2cSPxDlDiGz8NJ8dUZlYERGR4mElJa4vfWauIen4dZxfrSnE9e3DzDVJ/La6LZ0VUQ/yMr0YOfIFxsSO4t71vWjzyg4uL6xhFAZIwkqyQPMJvovbxsMLFzN11FDGTFvO5k96EHh4ARPXZhZrsiciIlJe5e6ey8Qddbm+Ouy57J47kR11Q7lk9eMJvLkkm7BGQWensnGtQrOONUhasYkMg/abGCAJO68ECjTb8gnoOIRON59vZhcCmz3GXW75WCx5SsJERET+LMs2Zk7JpM/z93I9ddgt22YyJbMPz9/rf2mS4uZPkNdhFk5ayn4rhTXM+H7VPmpE3EWggbKZi5XvgfkuftS52++SRflZ+8lwD6dr00AjZaiXMJvNnDp1isjISEeHIqUgJSWFwYMH4+/v7+hQpIQdPXqU48eP67ddTiQmJmI3+tyH9hNsmTadvGdep7HvqutYfQvTpufxzOuN+d3qPk15cUZXVnbtQeMuexjTaDefBU5m5b8aGrZEWflOwn7Hyt6PF3Ci+2SiQt0dHcwfdvr0afLz83nhhRccHYqUgueff56uXbsSHh5+7ZXF0LZt28a8efMYMmSIo0ORUjBy5EhsNoPeZzvDTtbGKcz2+SfTGnhjOnqt1bPYOGU2Pv+cRgNvE79f3Y0aj83nm+wj1O/3Is+uacqIFS2padQMDCVhl8g7+DHj17ZlwXutqGTUbrBzfHx8dLVcTgQEBNCkSROaN2/u6FCkhHl5ebF06VL9tsuJqVOn4upq3FmnbZlrmbigOjHTw66jp8pG5tqJLKgew/QrVm23Y9m1gHFLw5m7uhPL+j9HbKt7SF+xibc6VMOI/08ZOwmzHWP71zswN7iHv/j/uX+KPWcrc15NpNvbo2nqW9yDz0RERMoTK8nvDGNeQkU2t190blEam63p7BzQgQMNezH9zT78Vofdmsw7w+aRUHEzF1bfjDV9JwM6HKBhr+m8+VgmozqMJvffiTza2p9Hvr+bsNYtGP3kaB7fO5t7fRzyD/1TjJ2EufhTK+RXhrYN56emLzJn/KPU8v4DCVTuzyyMXUKNYaNofb5asDWLI3kVCfQyeJeYiIhIqXOlWtsXmXRT5oW5PU9uIfWrlILl3enRpCGX1GF3rUbbFydx04Wq7QWrp/JVSsHy7j1o0rAS9l8+4b/7/XnsFu8z1TFMfvcw+PWn+Hfzb/kpI78gCTNeX5iBkrCiCzR7hHRh6gpP+tVvR+P9ZvYs6kLVG8mbrPv5cMhwfmo+gC4H/kfCgYJleUf5cUUCtYeNoaVXcf4bREREygMX/MLbc2kddj/mDXyf29sVJGHNvAtvQbE9LpaFrj0Z0asO4e27c+nq8xj4/u20K0jCClcnuy7hFdPYlJiN/Y7KZ8uUFeQE7lXvpG6g8RKwQgZIwq5doNmlciQvvdaaxTGfs/dUQRJ2vfOJ2TJZEx3BIzOSYcZiXr3oo2r91pMcoNuSIiIiJeJ0CotfiWW8mzc9uo6kjvka6/u2ZPL8vvw9phcjswcS4b+XJf/eS7e582leoVQiLnYGSMKup0CzK9UfW8TW5hB8IxO6ulTigWlJ2KcVQ5giIiJyZX4dWZN7URl2j3BGbU4lyhREcBEJmF/HNeReUrXdjZvaT2XDgxn8vDOZI7ThpU/6U8ls3A4TAyRh18nVl1tqOjoIKX2FtT8/Yer4t/h0x3H87+zMoNEDaFXjWpdUUrbYyPoxnsnv7sEr0E5G3p1ERT9CHZ8rHVxvYP3CenUDYkjtH0dMPQM/y14e2bL4MX4y7+7xItCeQd6dUUQ/Uocr7hZiOO7+NQm+wW1MHpUJbVjwKpGISpfzJGFSLp2t/fkJQa1bEunzNfNnDCFy+Q5Wb3+b1kadQrkcsmybQGT7dTz1zUqiQuwkTX+A+ztnsG5lf0KLyKevf/3z9ep+pEcvI8+3VB5Z2DYhkvbrnuKblVGE2JOY/sD9dM5Yx8r+oegyS5yBzlJiYKr96RRsh1kaHcueFjE8GlI4SbKZ0O6Dqf/tcIauPvL7dryB9W+sXp2UJbbDS4mO3UOLmEc528yhdB9cn2+HD2X1Ef26xTkoCRPjUu1Pp2DPWMectTnUahXG+bG1Jt96RIRks2r2Ro790fVvsF6dlCV2MtbNYW1OLVqF/dbK+NaLICR7FbM3Xr5XiBiTDk1iXGdqf958yW2J87U/Oxu49md5Y0lZT2K+F0E1fC+0mXsgt1UxcWrnJvbn/oH1f6tXN4jGmnzZgCykrE8k3yuIGr4XfsnugbdRxXSKnZv2k3uVrUWMQucpcSLOUfuzvMnPOkQ2HlT0vPhw5Ip3hYL0Orvgs7wbXf9CvbpnG5yd1FGMJp+sQ9ngUZFLm9mbs82cTd4VtxUxDg3MF6fhTLU/yxMXz4oFKVXhZMyX3kDOz7OB2Qezy42t73bsRurVSdnkgmdFjzNDDi5t5nzONrNZPQjiFJSEiVNQ7U/j8qjRkGDeI/3iLi+7hcxjVgiqR3XzjawfRm78DdSrkzLKgxoNg+G9dC5t5kzO7hbV9XSkOAUlYWJ8qv1paG5BLWkbYmfJ1jROd/I/e3LNPcAPB03U7teCaq43sv59hLWvyaSg66xXJ2WUG0Et2xJiX8LWtNN08j+bcuUe+IGDptr0a1ENNaM4A52hxNjO1/6sH0HVwtqfCQkkfLOaWaNfZ9sp9YgZgmddogY14tBHq0i1nl2Um7SMlcfvZ+jjtQqSLDs52+MYOWoBiSft11i/NlUK69X16kWv86+uDxBsrkCdwnp1HRv8Vu5MyjbPulEManSIj1alcraZc0latpLj9w/l8VrqBxPnoJ4wMS7V/nQS7oT2/4BZO55g0JjqDI7IY9WkDbSZH0/v4MJDVC4pi18hdrwb3j26MrKO+Rrri1NwD6X/B7PY8cQgxlQfTETeKiZtaMP8+N6omcVZaFcW41LtT+dhvpVuc76kU9ouEtMgemlPgrzPd9R7ED5qM6lRJoLOF5i76vqXubxenRiG+dZuzPmyE2m7EkkjmqU9g7hSM4sYkZIwESkjXPAOCqNRUBEfuftT83cF5q6yvjgPF2+CwhqhZhZnpGsKEREREQdQEiYiIiLiAErCRERERBxASZiIiIiIA2hgvhMym82cPn2ajh07OjoUKQWpqam88MILVKpUydGhSAnLzMzkyJEj+m2XE4mJidjt9muvKIalJMwJFSZgha+BAwc6OhQpBcOGDaNDhw6EhYU5OhQpYTt27OC9994jKirK0aFIKfjXv/6FzWZzdBhSgpSEOakKFSroarmcmDhxIs2bNz/zEucWEBDAp59+qt92OfHWW2/h6qoSD85MY8JEREREHEBJmIiIiIgDKAkTERERcQAlYSIiIiIOoCRMnJf9JDvfncgHSaccHYmIiMjv6OlIMZ7TqSx/Yz6JHlUI8Dz35FBBwrX7k5Ucafp/NKtyblleBtsTdnJiz2r+OrozNc2OC1muxUbWj/FMfncPXoF2MvLuJCr6Eer4mK66lTV9M/Gvr6Dyc//ioepFPUVm5dfNHzD7g5+w39qAv7bpzAOhPlz9W6XMyN3PF3PeZkOWF67ZaRyv+TAx/7iPqjpziZPQrizGY76FjjFjuOQh/by9vDH3bdza96FfA88Ly/uXdnDyR1i2TSCy/Tqe+mYlUSF2kqY/wP2dM1i3sj+hRSXPtmx2fbmcha8N4MXVwUx9cuzvVrFbkvjPwEcYkfwQs98dT+saysINxZbOiqgHee2elXwxMhRz/q8s7dGYNpmf8u3oung4Oj6RYqDbkeIcbBaO5XpR2Udz6hiO7TBLo2PZ0yKGR0PcCxaYCe0+mPrfDmfo6iMUOV+4iy93PNCT6MEReBf1uXUf8d3/St/Nnfl4xTglYEZ0PIE3l2QT1iiIM63nWoVmHWuQtGITGZq/VJyEkjBxDnnH+eWkJ5UrXJ6E5ZH9S3bB/0pZZc9Yx5y1OdRqFUaFc8tMvvWICMlm1eyNHLvaxiZTEbcW8znwfhT9lnry9KwYGlXQzUdDcvMnyOswCyctZb+14M/2o3y/ah81Iu4iUGcucRK6HSnGcvpXtn+fRFb+ZctPfseOTAvBP33LN3vPL7STs+1NogZ9w/3vbuDtR4NxL+Vw5dosKetJzPfinhq+F64K3QO5rYqJUzs3sT/3IQJu5N6TNZn4V7/glF8k5iUD6DD4fxxwu4OHBo1nxP+F4qWczBh8mvLijK6s7NqDxl32MKbRbj4LnMzKfzXE89pbixiCkjAxFjcv3HNzcfGtip/Hhctha9Y+fvUP49TMHgx98APmRFQ8szzgvlGs/gFMHh7k2wvO7ToBlzn5WYfIxoOKnhd3b7jiXcEM2QWfFXZj3kASZj/6P1buLDiHt+pE71FPU8/rCF+/1I4HHm7GvtW7mNe6kgbmG4IbNR6bzzfZR6jf70WeXdOUEStaUlMZmDgRJWFiLC4Vqf23iMsW2slMSsIS1oum1b8joeYdhIX5OSQ8uXEunhULciwb+bZLR3/l59nA7IP5Bm895WWncbTgvX7vvxNesXDjKtw39A2iZt3LO5O/ZErk3wlUFmYAdiy7FjBuaThzV3diWf/niG11D+krNvFWh2po9Kc4A91ZFyeQzXfv76BW17vxdXQocsM8ajQkmBzSsy8auWe3kHnMCkH1qH6DY+pdfSqfGVtWmMT9ltZ5/4WWtcCalsJRDRA0hpNbGNVhNLkDx/Bo62eJ/34TL91zkDlPjmZTjqODEykeSsLE8PIPfcLrW+7iuciqujo2ILeglrQNsbNvaxqnzy/MPcAPB03U7tyCajfYqC4BDWgZAgd/PEju+YUmF1xdTLhWuwV/9f8bQt4vG/nvfn/q3+J95vaxi989DH79KW46soWfMi4fFCpiTErCxNjs2XwT+wrHnhxHm8pF7872I//lja+zSjkwuW6edYka1IhDH60i1Xp2UW7SMlYev5+hj9fCXPiAxfY4Ro5aQOLJyyassOVTOFuB/eLFnmH0ffYuMpbE89OJc8ssyWxIrUSHZ+6jkm5FGoJbYF3CK6axKTH7Qo9mQUO7V72TuoG63BLnoGtCMbA80j7+J/9Mfor3JoXhwcki18o/kcb+g8fJx089ZWWSO6H9P2DWjicYNKY6y9lnpwAAIABJREFUgyPyWDVpA23mx9M7uPAQlUvK4leIHe+Gd4+ujKxjPnO7cl/Cat6f8TWWgs+Xx39Eg4cjua9uQEEbm/nLwI+Yt+dR/vHEeEY81YATn89kb8+FvNOlmq48jcK3JZPn9+XvMb0YmT2QCP+9LPn3XrrNnU/zCtfeXMQIlISJMdlPsCPueWK+bkzcoqepc/6JKVM+2YezL0q47JzYvYZlb+znsfbDaeyrU3CZZL6VbnO+pFPaLhLTIHppT4K8z7eVB+GjNpMaZSIo+NwAMZMXNZt2YdjygleR3xdC19kJdP5lDztTT+I74iP6Bpr1VKShuHFT+6lseDCDn3cmc4Q2vPRJfyqZ1YriPJSEicHYObVvLXHvfEHWnUNYHFebC+UFPQnt3B7Tsw/QcJYvZ4/VeRxPP0GVVvfjf6OP2Ukpc8E7KIxGQUV85O5PzeAb/T4TntVqc1e1YghNHMbkUZnQhgUvRwciUgKUhImh5B/dzoa9N9N9zAT8fndv0YXKkVP5JmmqI0ITERG5IUrCxFBcA+rxYEtHRyEiIvLn6f6MiIiIiAMoCRMRERFxAJPdfnaGnezsbPr27evoeKQY/PLLL2RlZfGXv/zF0aFIKfjuu++47bbbCAwMdHQoUsIyMjJIT0+nTp06jg5FSsH3339PSEgIlSpVcnQoUgzmzp2Lr++ldV1+GxPm4eHBY489VupBSfEr/OF+/vnnas9yYvv27URERHDHHXc4OhQpYYmJiSxcuFC/7XLi559/5q9//SsNGjRwdChSDDw9f199/pIk7JFHHinVgKRk+Pj48NNPP6k9y4k33niD+++/n+bNmzs6FClh69ev54svvtBvu5wo7Dkp/F23bdvW0aFICdGYMBEREREHUBImIiIi4gBKwkREREQcQEmYiIiIiAMoCRMRERFxAJUtkjLJmr6Z+NdXUPm5f/FQ9d8VifwTctn/+XTGTVvG1qMVCO/4POMGR3KzezH+FVIMbGT9GM/kd/fgFWgnI+9OoqIfoc6Fau1XlneARQNiSO0fR0y93z8SLgZiy+LH+Mm8u8eLQHsGeXdGEf1IHa5nNxAxAvWESdliy2bXmnjG925N39hl/GyxF+OX53N4+VCGfOpDx5iXGN7Fh89eaE27Kbs4XYx/i/x5lm0TiGwfT80BYxk+YixPB0ynVee3SL5mQ1lJietLn5lrSDpuK41QpcRY2DYhkvbxNRkwdjgjxj5NwPRWdH4rWb9XcRpKwqRscfHljgd6Ej04Au/i/m5rGj/k9GL21Gd46G8t6Rw9i2mtzCSuSSo43EuZYTvM0uhY9rSI4dGQwi5KM6HdB1P/2+EMXX2Eq6XlubvnMnFHXUKLs/NUHMJ2eCnRsXtoEfMoZ3eDULoPrs+3w4ey+khxXpyJOI6SMCmbTCaK/Y6DezBtu92N3/kvtudy/HRVIns3pEJx/13yh9kz1jFnbQ61WoX91i4m33pEhGSzavZGjl1pQ8s2Zk7JpM/z9+KvI5vB2clYN4e1ObVoFfbbXoBvvQhCslcxe+MV9wIRQ9GhSson+0l2zR/G3LBZxHWvgTpOyg5LynoS870IquF74QDlHshtVUyc2rmJ/blFbGQ/wZZp08l7ZhCNfTVgyPgspKxPJN8riBq+F05T7oG3UcV0ip2b9lPUbiBiNErCpNyxHfuBd4c9TLt/xPP1Ww/x4MiNZOvuRpmRn3WIbDyo6Hnx4ckV7wpmyC74LO/yLexkbZzCbJ9/8mwD7+LvQRUHyCfrUDZ4VOTS3cCbs7tBNr/bDUQMSEmYlDsu/g3pNfFTfs7czuzO/mx9dQiLD+Y7Oiw5x8WzYkEKZiPfdmlmnJ9nA7MP5suOWrbMtUxcUJ2YfmHoWUhn4YJnRY+Cxs3n0t0gn7O7gVknL3EK2o/FMGzHtrPumz0cK6ZLYFOFuvR9YzyN3Pax9ZCetyorPGo0JJgc0i/u8rJbyDxmhaB6VDdfvLaV5HeGMS/hP/Rv34pWrQpeXcaw2ZrOkgEdaBcVx89qWgPyoEbDYMhJ59LdIJOzu0F1zFfeWMQwNE+YGIaLfy1Cfh1K2/CfaPriHMY/WgvvP3nvydX/FoICbqZONR3Sywq3oJa0DbGzZGsapzv5nz3Z5h7gh4MmavdrQbVLBvC5Uq3ti0y6KZPf+jJPbiH1q5SC5d3p0aQhlTTgz4DcCGrZlhD7EramnaaT/9nfZ+6BHzhoqk2/FtU0jlOcgnrCpGwqvA1R8Ga/5FaEByFdprJiaigfdG1M76W/ckMzQdlz+WXnDg7+NveYnaMJy8hoN4q/19AhvczwrEvUoEYc+mgVqdazi3KTlrHy+P0MfbxWQVJmJ2d7HCNHLSDxpAm/8PZ079WLXudfXR8g2FyBOu0KkrCODQhQ0xqSZ90oBjU6xEerUjm7G+SStGwlx+8fyuO1dNEkzkE9YVK22C3sS1jN+zO+xlJw0F0e/xENHo7kvroB5658Xagc+RKvtV5MzOd7OdWl6vXPJ3bqR15u3ZQZOX8lakhvmgTkcPh4JAve7EAVXY6UIe6E9v+AWTueYNCY6gyOyGPVpA20mR9P7+DCQ1YuKYtfIXa8G949ujKyjk7ITsk9lP4fzGLHE4MYU30wEXmrmLShDfPjexOsM5c4Ce3KUraYvKjZtAvDlhe8rrSOa3UeW7SV5gTf2ISuXvfwxu6DPL0jlRyPmwi9I4RKZj1LVyaZb6XbnC/plLaLxDSIXtqTIO/zmbIH4aM2kxplIii4iATMryNrcn8t1XClZJhv7cacLzuRtiuRNKJZ2jMIb10wiRNREiaG5Op7CzX/wHYu3kHUbRxU7PFISXDBOyiMRkU1l7s/NYNLPSBxBBdvgsIaoV+tOCNdU4iIiIg4gJIwEREREQdQEiYiIiLiAErCRERERBxAA/OdkNlsJi8vj549ezo6FCkFaWlpvPTSS1SpUsXRoUgJS09P59ixY/ptlxPJycnY7Sps68yUhDmh06dPc/LkSdq0aePoUKQUbN68mSZNmlC7dm1HhyIlbPfu3Xz44Yf6bZcT27Ztw2a7oSmpxWCUhDkpX19fXS2XEzNnzqR169Y0b97c0aFICVu/fj3r1q3Tb7uceO+993B1VckHZ6YxYSIiIiIOoCRMRERExAGUhImIiIg4gJIwEREREQdQEiYiIiLiAErCxDlY09kcN5LRKw6R7+hYpBjYyPpxAWOiR/FK7Eiixy0iMec650vKO8CiZ7oxadupkg1RSlEeBxY9Q7dJ21CrijNREiYGZyN71xrix/emdd9Ylv1sQVMbGp9l2wQi28dTc8BYho8Yy9MB02nV+S2ST19rSyspcX3pM3MNScc1v5KzsKbE0bfPTNYkHUetKs5ESZgYnAu+dzxAz+jBRHg7OhYpFrbDLI2OZU+LGB4NcS9YYCa0+2DqfzucoauPXDXJzt09l4k76hKqqZWcR+5u5k7cQV01qjghJWHiJEyYTI6OQYqDPWMdc9bmUKtVGBXOLTP51iMiJJtVszdy7EobWrYxc0omfZ6/F38d2ZyEhW0zp5DZ53nuVaOKE9JeLSJliiVlPYn5XgTV8L1wgHIP5LYqJk7t3MT+3CI2sp9gy7Tp5D0ziMa+ysadg50TW6YxPe8ZBjX2Ra0qzkhJmIiUKflZh8jGg4qeFx+eXPGuYIbsgs/yLt/CTtbGKcz2+SfPNvDWydpJ2LM2MmW2D/98tgHealRxUkrCRKRMcfGsWJCC2ci3XTr6Kz/PBmYfzJcdtWyZa5m4oDox/cLwLMU4pQTZMlk7cQHVY/oRpkYVJ6YC3iJSpnjUaEgw75F+cZeX3ULmMSsE1aO6+eK1rSS/M4x5CRXZ3H7RuUVpbLams3NABw407MX0N/tw+yXbSFlnTX6HYfMSqLi5PWdb1UraZivpOwfQ4UBDek1/kz5qVHECSsJEpExxC2pJ2xA7S7amcbqTP2dOtbkH+OGgidr9WlDtkofkXKnW9kUm3ZR5YX64k1tI/SqlYHl3ejRpSCU9VGc4rtXa8uKkm8i80KhsSf2KlILl3Xs0oaEaVZyEkjBxEoW3rwre7JolzPA86xI1qBFvzltF6gth1HIvyMGSlrHy+P0Me7xWQVJmJ2f7PGIXutJzRC/qhLene/hF22f5MW/g+9zeriAJa6Z5S4zIxS+c9pc2Kn7zBvL+7e0KkrBmqFXFWWhMmBicHcu+TSx5cwZfW2Dv8ng++nIHRzVtvoG5E9r/A2Y1Xs6gMf/hv18sYET0BtrMf5fewYXXjadJWfwKseMn8HGq1dHBioj8YeoJE4Mz4VWzKV2GLS94OToWKTbmW+k250s6pe0iMQ2il/YkyPv8NaMH4aM2kxplIii4iHFBfh1Zk/trqYYrJc2PjmtyUauKs1ESJiJllAveQWE0CiriI3d/agaXekAiIsXKOLcjS7BAc+7+z3ntqQ60uOde2j75Kp8f1C0OERGRYme3sHdFLE+2a07TFh34x+QvOHDVmrC57P9iBmPHjmfCuGEMjPk3X//6u8kCDcsASVjJFmjOP7ycoUM+xadjDC8N74LPZy/Qut0Udl2zULCIiIhcPyspcU/weFw6t7aMpIlfInOGRNL46c84UmRldhvpK6J48GXoNXIkL4yJZdS96+nV5hV2FFU5w4AMkISVZIFmK2k/5NBr9lSeeehvtOwczaxprTAnriHJUtx/l4iISDl24jvitj3MwsVTGTV0DNOWb+aTHoEcXjCRtZlFda8cJ+HNJWSHNSLozPBPV6o060iNpBVsyigyazMcAyRh55VEgWZ3gtt2426/819sJ/f4aapG9qZhhatuKCIiIjfAlh9AxyGduPn8NG8ugTR77C7c8i1Y8opKwtzwD/Li8MJJLN1fOEzIztHvV7GvRgR3BRoofbkKDcz/jZ2Tu+YzbG4Ysz7sTg0DzwXo7u5Ofn4+Tz75pKNDkVLwyy+/MGHCBKpVq+boUKSEFbb1sWPH9NsuJ1JSUhwdQrFy8avD3X4XL8kna38G7uFdaVpkUuVD0xdn0HVlV3o07sKeMY3Y/Vkgk1f+i4ZOUs5KSVgh2zF+eC+WkWNfZ1WKlf886Mf69bE08zVm1Vir1cqJEydo1qyZo0ORUvD1118THh5OrVq1HB2KlLA9e/aQnJys33Y5sXnzZvLynGcQ+u9Y9/LxghN0nxxFqHvRq7jVeIz532RzpH4/Xnx2DU1HrKBlTSfJwFASdpaLPw17TeTTnmPY8XYv7uv3KkMWP8vGJ2s4OrI/zM/PT1fL5URcXBwdOnSgefPmjg5FStj69evZuHGjftvlxIcffoibm7OepvM4+PF41rZdwHutKl1xbJTdsosF45YSPnc1nZb157nYVtyTvoJNb3W4rISZMRn7pqrtGNvXfcOeY8V0pWCqQN2+bzC+kRv7th4qnu8UERGRi9jJ2TqHVxO78faoplz5ptNJtozqwOjcgYx5tDXPxn/Pppfu4eCcJxm9Kac0Ay4xxk7CXPypFfIr/24bTsvnPyDpZDFMXuHqzy1BAdxcR+NrREREilvuzwuJXVKDYaNa/9abZc06guXyBx7zfmHjf/fjX/8WvAsTNRc/7hn8Ok/ddIQtP2UU+5yhjmCgJKzoAs0eIV2YumIqoR90pXHvpfx6Q0+t2sn9ZSc7Dl6Ye8x+NIFlGe0Y9Xfj3ooUEREpi6z7P2TI8J+oH1GVA/9LICEhgW9Wz2L069s4ZbKTsz2OkaMWkFjYqeIWSN3wiqRtSiT7t1O/Hbt7Ve6sG4gT3I00wpiwwgLNCax+/2yB5tzCAs0NHibyvroEnGsBl8qRvPRaaxbHfM7eU12oet3ziZ3ix5db03RGDn+NGkLvJgHkHD5O5II36VDFQPmpiIhIGWfLXEN0xCPMSIYZi1+96JNq9FufTIDpNNsXv0LseDe8e3RlZB1fWk6eT9+/x9BrZDYDI/zZu+Tf7O02l/nNnWMeKQMkYddToNmV6o8tYmtzCL6hCV29uOeN3Rx8egepOR7cFHoHIZXMGPOZSBERkbLLpdIDTEuyM+0q64SP2kxqlImg4DOzs+J2U3umbniQjJ93knwE2rz0Cf2d6DxtgCTsOrn6ckvNP7CdizdBdRtTVI1gMYbC2p/Tx01j2dajVAjvyPPjBhN58xWedxbjsGXxY/xk3t3jRaA9g7w7o4h+pA4+Vz36WknfHM/rKyrz3L8eoroz3K8QCp+kO7BoADGp/YmLqYfzTFAgv+PuT83gy5aZPKgc2rDg5ZCISpTuuYmhqfans7KwbUIk7eNrMmDscEaMfZqA6a3o/FYyV2paW/Yu1sSPp3frvsQu+xlLcRaZFYeypsTRt89M1iQdxzmK1YicpSRMDEy1P52V7fBSomP30CLmUUIKOzXNoXQfXJ9vhw9l9ZGisysX3zt4oGc0g4u/yKw4Uu5u5k7cQd1QdWuK81ESJgam2p/OyU7GujmszalFq7DzDWnCt14EIdmrmL3x2FW3NhV/kVlxGAvbZk4hs8/z3Ouv05U4H+3V4iQuqv0ZZ+zan2IhZX0i+V5B1PC9cIhyD7yNKqZT7Ny0n1wHRielxc6JLdOYnvcMgxr7Os1AbJGLKQkT4yus/fnuMB5u9w/iv36Lhx4cycZsDQgyrnyyDmWDR0U8Lz5CuXpTwQzZBZ85cTU9OceetZEps33457MNzk7UKeKElISJ8Z2v/flzJttnd8Z/a2Htz4OOjkr+MBc8K3oUJNf52C7JpfPJs4HZx6wDl7OzZbJ24gKqx/QjTI9CihNznikqRM7X/py1kpfP1P5U1QNj8qBGw2B4L53si7q87JZMjlkhqF51zI4LTkqBNfkdhs1LoOLm9iw6u4S0zVbSdw6gw4GG9Jr+Jn1u114gxqckTJyLan86ATeCWrYlxL6ErWmn6eR/9mSbe+AHDppq069FNacoVyJX5lqtLS9OuonM34oDnmRL6lekFCzv3qMJDStpDxDnoCRMDKyw9mciyXm3Enaz15mBu6r96Rw860YxqNGbzFuVygthtXAnl6RlKzl+/zAer1WQlNlz2D4vloWuPRnRq84lY4ZsZ4vMolGBxuXiF0777uEXLcnCb95A3r+9XUES1gxNQiLOQkmYGJhqfzot91D6fzCLHU8MYkz1wUTkrWLShjbMj+9NcOFRKzeFxa/EMt7Nmx5dR1KnMC+z7CNh9fvMOFtklviPGvBw5H3UDVCviYiUTUrCxMBU+9OZmW/txpwvO5G2K5E0olnaMwjv87m1RzijNqcSZQriXIk5TF41adplGMuvXGRWDMuPjmty+dXRYYgUMyVhYmyq/encCts3rFGR7evuX5PLS8yJiBiJ7tmIiIiIOICSMBEREREHUBImIiIi4gBKwkREREQcQAPznZC7uzs2m43+/fs7OhQpBenp6UyZMoX//Oc/jg5FStihQ4fIzs7Wb7ucSE1NdXQIUsKUhDkhq9V65kAdHh5+7ZXF8D777DNCQkIIDQ11dChSwjw9PdmxY4d+2+XEV199RV6eytU7MyVhTsrf319Xy+VEYQ/Y//3f/9G8eXNHhyIlbP369Xz33Xf6bZcTK1aswM1Np2lnpjFhIiIiIg6gJExERETEAZSEiYiIiDiAkjARERERB1ASJs7LfpKd707kg6RTjo5ERETkd/TYhRjP6VSWvzGfRI8qBHi6nl1WkHDt/mQlR5r+H82qnFuWl8H2hJ2c2LOav47uTE2z40KWP8CWxY/xk3l3jxeB9gzy7owi+pE6+JiutpGV9M3xvL6iMs/96yGqu5ZWsFIicvfzxZy32ZDlhWt2GsdrPkzMP+6jqs5c4iS0K4vxmG+hY8wYOl68LG8vb8x9G7f2fejXwPPCcj3Jb1AWtk2IpP26p/hmZRQh9iSmP3A/nTPWsbJ/KEXl07bsXXy5fCGvDXiR1cFTeXJsqQctxcmWzoqoB3ntnpV8MbKgzfN/ZWmPxrTJ/JRvR9fFw9HxiRQD3Y4U52CzcCzXi8o+6vpwBrbDS4mO3UOLmEcJcS9YYA6l++D6fDt8KKuP2IvcxsX3Dh7oGc3gCO/SDVZKxvEE3lySTVijoLNJt2sVmnWsQdKKTWTYHB2cSPFQEibOIe84v5z0pHKFy5OwPLJ/yUZzThuJnYx1c1ibU4tWYRXOLTPhWy+CkOxVzN547Kpbm0xXvV8pRuHmT5DXYRZOWsp+a8Gf7Uf5ftU+akTcRaDOXOIkdDtSjOX0r2z/Poms/MuWn/yOHZkWgn/6lm/2nl9oJ2fbm0QN+ob7393A248G417K4cofYSFlfSL5XvdQw/fC2dY98DaqmE6xc9N+ch8K0O0oZ+fTlBdndGVl1x407rKHMY1281ngZFb+qyGe195axBCUhImxuHnhnpuLi29V/DwunKCtWfv41T+MUzN7MPTBD5gTUfHM8oD7RrH6BzB5eJBvLziRq5PEAPLJOpQNHhXxvLjHw9WbCmbIPnS2Z1NJmLNzo8Zj8/km+wj1+73Is2uaMmJFS2oqAxMnoiRMjMWlIrX/FnHZQjuZSUlYwnrRtPp3JNS8g7AwP4eEJ8XBBc+KBSmWLR/bJcO/8smzgdnHrHEU5YIdy64FjFsaztzVnVjW/zliW91D+opNvNWhGhr9Kc5AxzJxAtl89/4OanW9G19HhyLFwIMaDYMhJ53siwbz2S2ZHLNCUL3qRT4dKU7m5BZGdRhN7sAxPNr6WeK/38RL9xxkzpOj2ZTj6OBEioeSMDG8/EOf8PqWu3gusqqujp2CG0Et2xJi38fWtNO/Lc098AMHTbXp3EK9IOVB3i8b+e9+f+rf4k3hKAIXv3sY/PpT3HRkCz9lXD4oVMSYlISJsdmz+Sb2FY49OY42lYvene1H/ssbX2eVcmDyZ3jWjWJQo0N8tCoV65kluSQtW8nx+4fyeC1zQaPmsD1uJKMWJHLyshkrbPmF8xfYKXoiCzEKt8C6hFdMY1Ni9oW2tNtxr3ondQOVhotz0JgwMbA80j7+J/9Mfor3JoXhwcki18o/kcb+g8fJx089KEbhHkr/D2ax44lBjKk+mIi8VUza0Ib58b0JLjxq5aaw+JVYxrt506PrSOoU5mWWfSSsfp8ZX1sKPl9O/EcNeDjyPuoGqNUNybclk+f35e8xvRiZPZAI/70s+fdeus2dT/MK195cxAiUhIkx2U+wI+55Yr5uTNyip6lz/okpUz7Zh7MvSrjsnNi9hmVv7Oex9sNp7KvOX6Mw39qNOV92Im1XImlEs7RnEN7nm88jnFGbU4kyBRF8boCYyasmTbsMY3nBS5yBGze1n8qGBzP4eWcyR2jDS5/0p5JZjziL81ASJgZj59S+tcS98wVZdw5hcVzti2oJehLauT2mZx+g4Sxfzh6r8ziefoIqre7H36wEzHBcvAkKa0RQER+5+9ckuNQDktJm8qhMaMOCl6MDESkBSsLEUPKPbmfD3pvpPmYCfr+7y+RC5cipfJM01RGhiYiI3BAlYWIorgH1eLClo6MQERH583R/RkRERMQBlISJiIiIOIDJXqDwP06cOMHo0aMdHY8Ug9TUVPbv30/z5s0dHYqUgtWrV1O/fn2Cgooavi7OJC0tjT179tCyZUtHhyKl4IsvviAsLIybb77Z0aFIMXj55Zfx8fG5ZNlvY8JcXV2pWbNmqQclxa8woU5KSlJ7lhOnTp2iatWqau9yIC8vj++//15tXU7k5+dTqVIltbeTcHH5/c3H33rCxHl8+umnzJgx48y7OL/CHs8JEyao57McWL9+PSNGjDjzLs6vbdu2DBw48My7OCeNCRMRERFxACVhIiIiIg6gJExERETEAZSEiYiIiDiAkjARERERB1ASJmWO3bKXFbFP0q55U1p0+AeTvzjA6WL8/tz9n/PaUx1occ+9tH3yVT4/aC3Gb5diY8vixwVjiB71CrEjoxm3KJGcaz7LbSV9cxwjR6/gUH5pBCmlI48Di56h26RtnHJ0KCLFSEmYlC3WFOKeeJy49FtpGdkEv8Q5DIlszNOfHcFWDF+ff3g5Q4d8ik/HGF4a3gWfz16gdbsp7CrOLE+KgYVtEyJpH1+TAWOHM2Ls0wRMb0Xnt5KvmJDbsnexJn48vVv3JXbZz1g0+Y7TsKbE0bfPTNYkHS+W44BIWaEkTMqUE9/Fse3hhSyeOoqhY6axfPMn9Ag8zIKJa8n80ydVK2k/5NBr9lSeeehvtOwczaxprTAnriHJUhzRS3GxHV5KdOweWsQ8Soh7wQJzKN0H1+fb4UNZfaToHcHF9w4e6BnN4Ajv0g1WSlbubuZO3EHdUFdHRyJS7JSESRliIz+gI0M63cz5w61LYDMeu8uNfIuFvD+dhLkT3LYbd/uZzv3ZTu7x01SN7E3DCn/2u6X42MlYN4e1ObVoFXa+YUz41osgJHsVszceu+rWJpPpqp+LkVjYNnMKmX2e515/na7E+WivljLEBb86d3Oz+aJF+Vnsz3AnvHNTAot1b7Vzctd8hs0NY1Zcd2roIrsMsZCyPpF8ryBq+F5odPfA26hiOsXOTfvJdWB0UlrsnNgyjel5zzCosS9KrcUZKQmTMs2692MWnOjO5KhQ3IvrS23H+OHdYTzc7h/Ef/0WDz04ko3ZGkBUduSTdSgbPCriefERytWbCgUJenbBZ3kOi01Kiz1rI1Nm+/DPZxvgrQxMnJSSMCm78g7y8fi1tF0whVaVinFXdfGnYa+JfPpzJttnd8Z/66sMWXyw+L5f/iQXPCt6FCTL+dguyY3zybOB2cesA5ezs2WyduICqsf0I8zT0cGIlBwdy6Rssuewdc6rJHZ7m1FNz9+KsHFs+zq+2XOseHpCTBWo2/cNxjdyY9/WQ8XxjVIsPKjRMBhy0sm+qKHtlkyOWSGoXnXMV95YnIA1+R2GzUvgP/3b06pVq4JXF8ZstpK+ZAAd2kUR97MeZxbn4OboAER+L5efF8aypMYwRrWudm6QvpWsI3n41gq658SeAAAXG0lEQVTh16FtCf+pKS/OGc+jtbz/3FgRV39uCQrg5jrViiVyKQ5uBLVsS4h9CVvTTtPJ/2zKlXvgBw6aatOvRTU0hM+5uVZry4uTbiLzt7neTrIl9StSCpZ379GEhpW0B4hzUBImZYyV/R8OYfhPzRnQ5QD/SzhA4USNR39cQULtYYxpGUKXqSvw7Fefdo33Y96ziC5Vr7dD107uL4kk591K2M1eZ5I3+9EElmW0Y9Tfa5Tgv0lulGfdKAY1epN5q1J5IawW7gWJedKylRy/fxiP1zKf6SndPi+Wha49GdGrziVjhmz5hTNJ2dEoP+Ny8Qunfffwi5Zk4TdvIO/f3q4gCWuGJiERZ6EkTMoQG5lrool4ZAbJzGDxqxd9VK0f65MDzvZ6uVQm8qXXaL04hs/3nipIwq73kHyKH19uTdMZOfw1agi9mwSQc/g4kQvepEMV3ZkvU9xD6f/BLHY8MYgx1QcTkbeKSRvaMD++N8GFR63cFBa/Est4N296dB1JncK8zLKPhNXvM+NrS8Hny4n/qAEPR95H3QD1mohI2aQkTMoQFyo9MI0k+7Rrrula/TEWbW0OwTdyTezFPW/s5uDTO0jN8eCm0DsIqWTWo+9llPnWbsz5shNpuxJJI5qlPYPwPp8re4QzanMqUaYggs8NEDN51aRpl2EsL3iJs/Gj45pcfnV0GCLFTEmYGJQrvrfUvPHNXLwJqtuYoOIPSEpCYXuFNSqyvdz9axJc6gGJiBQf3YMRERERcQAlYSIiIiIOoCRMRERExAGUhImIiIg4gAbmOyF3d3fsdjsvvPCCo0ORUnD06FFmzZrFJ5984uhQpIQdPHiQEydO6LddTqSlpTk6BClhSsKckNVqPXNi9vf3d3QoUgpycnLw8fFRe5cDhb/r48ePq63LiVOnTp05novzUhLmpCpVqqSr5XKisAesZ8+eNG/e3NGhSAlbv349O3fu1G+7nPjqq6/O3NkQ56UxYSIiIiIOoCRMRERExAGUhImIiIg4gJIwEREREQdQEiYiIiLiAHo6UkTKJlsWP8ZP5t09XgTaM8i7M4roR+rgY7raRlbSN8fz+orKPPevh6juWlrBSon4Q/uAiHGoJ0wMzo5l7wpin2xH86Yt6PCPyXxx4LSjg5I/zcK2CZG0j6/JgLHDGTH2aQKmt6LzW8lcqXVt2btYEz+e3q37ErvsZyz2Ug1Yit2N7wMiRqMkTAzNmhLHE4/HkX5rSyKb+JE4ZwiRjZ/msyM2R4cmf4Lt8FKiY/fQIuZRQgqnSTKH0n1wfb4dPpTVR4rOrlx87+CBntEMjvAu3WClRPyRfUDEaJSEiYGd4Lu4bTy8cDFTRw1lzLTlbP6kB4GHFzBxbSY6TBuVnYx1c1ibU4tWYRXOLTPhWy+CkOxVzN547Kpbm0y6V2V8f24fEDEKJWFiXLZ8AjoOodPN5wf+uBDY7DHucsvHYslTEmZYFlLWJ5LvFUQN3wuHKPfA26hiOsXOTfvJdWB0Uhq0D0j5oCRMjMvFjzp334z5okX5WfvJcA+nc9NA7dyGlU/WoWzwqIjnxY3o6k2FgsbOLvgsz2GxSenQPiDlg85T4kSs7P14ASe6TyYqVPXWjMsFz4oeZ3o6bZd0Z+aTZwOzj1kHLqenfUDKB+3H4jTyDn7M+LVtWTClFZW0ZxuYBzUaBkNOOtkXdXfYLZkcs0JQveqX9H6KM9I+IOWDTlXiFOw5W5nzaiLd3h5FU18NzDY2N4JatiXEvo+taRcmI8g98AMHTbXp3KIamv7L2WkfkPJBSZgYX+7PLIxdQo1ho2hd7dyh2ZrFEYumqTAqz7pRDGp0iI9WpWI9sySXpGUrOX7/UB6vZS7MutkeN5JRCxI5edkTGLb8wna368EMg7vmPiDiBDRjvhibdT8fDhnOT80H0OXA/0g4ULAs7yg/rkig9rAxtPRydIDyh7iH0v+DWex4YhBjqg8mIm8Vkza0YX58b4ILj1q5KSx+JZbxbt706DqSOoV5mWUfCavfZ8bXloLPlxP/UQMejryPugHqMzGka+0DIk5Au7IYly2TNdERPDIjGWYs5tWLPqrWbz3JAbotaWTmW7sx58tOpO1KJI1olvYMwvt8371HOKM2pxJlCiL4XKeIyasmTbsMY3nBS5zDVfcBESegJEyMy6USD0xLwj7N0YFIiXHxJiisEUFFfOTuX5PgUg9ISt1V9gERozNGEma3sPeTqYx/61N2HPfnzs6DGD2gFTWKbVhALvs/n864acvYerQC4R2fZ9zgSG7WLAciIiLFyn78e94aN5edlrN/tuV503zYeLrfWsRJt8TP/45lgI5dKylxT/B4XDq3toykiV8ic4ZE0vjpzyie8oD5HF4+lCGf+tAx5iWGd/Hhsxda027KLhWJFRERKVZ57F80mjfX/MBPP/105pVka0SL4KJ6PUr6/O94Zb8n7MR3xG17mIWLH+FMdZohz9Kmd23aL5jI2omRPFL5T477sabxQ04vZk+9G7/Cr7qvHrbPV9B1TRKWYXdoLhoREZHiYtnK3E+bEr9xNA08r7FuSZ//y4Ay3xNmyw+g45BOXCgPGEizx+7CLd+CJa8YHkJ3D6Ztt3MJWCF7LsdPVyWyd0MqXHVDERERuX42Mj5/mdc/nszD93em/6sfsvVY/pXXLunzfxlQ5nvCXPzqcLffxUvyydqfgXt4V5oGFnMOaT/JrvnDmBs2iw+71zDsZIDu7u7YbDbGjh3r6FCkFBw7doy5c+fyxRdfODoUKWH79+8nJydHv+1y4tChQ44OoZjlc9KlOc88487Gz5fz1gvLeOvVtszY8BHPhv1+PqFSPf87SJlPwn7HupePF5yg++QoirM8oO3YD7wXO5Kxr68ixfofHvRbz/rYZhhx8nWr1crRo0dxcXGOnVSuLjs7+8y72rt8KEy61dblQ2HCXXg8dx7u1HxoMK88xJlOj72fjKPHo6/yXNfXeWDLcO641vifEjr/O5LBkrA8Dn48nrVtF/Beq0rFei/Vxb8hvSZ+Ss8xO3i71330e3UIi59dz5M1jNkfFhgYqKvlcqKwB6xv3740b97c0aFICVu/fj1JSUn6bZcTmzZtOnNnwymZvLntoViW/2cPt/99MV8eHsodNa92vi25878jGejfYSdn6xxeTezG26Oa/tZDZTu2nXXf7OFY3tW3vl6mCnXp+8Z4GrntY+shPR8pIiJSMlyo3KIrDbxPk3P6ao87Fn3+dwaGScJyf15I7JIaDBvVmgvlAY+Q61uLkF//Tdvwljz/QdLv6sj9Ea7+txAUcDN1qunZSBERkZJit+aQ7x9G/apX7vG70vnfGcoDGyIJs+7/kCHDf6J+RFUO/C+BhIQEvlk9i9Gvb+OUyYOQLlNZMTWUD7o2pvfSX7mhdrHn8svOHRy0nM/e7BxNWEZGu1H83aC3IkVERMqc3AOsX7qabZnnb12dJnnxQjyeHkkL38I/28nZHsfIUQtIPNejcvXzv6P+IcWnzI8Js2WuITriEc6WB7ykOiD91idztjygC5UjX+K11ouJ+Xwvp7pUxft6/4JTP/Jy66bMyPkrUUN60yQgh8PHI1nwZgeqGCJFFRERKfvyM77k5e69+dx0F31GPEF90jjsO4pFw+/k7LORp0lZ/Aqx493w7tGV4dXWX8f539jKfBLmUukBpiXZuWZ5QNfqPLZoK80Jvv4ErJDXPbyx+yBP70glx+MmQu8IoZLZCVpWRESkDHG9uRef/tKSnYkHsHhWp9YdtxBwyfnWg/BRm0mNMhEUbMaF6zz/G1iZT8JuhKvvLdT8A9u5eAdRt7HKwxpV7v7PmT5uGsu2HqVCeEeeHzeYSBX+NDgbWT/GM/ndPXgF2snIu5Oo6Eeo43MdF0h5B1g0IIbU/nHE1LvWlNwiUppcKwZTr0nwlVdw96fmVT52NrrhJoaWf3g5Q4d8ik/HGF4a3gWfz16gdbsp7NKDrYZm2TaByPbx1BwwluEjxvJ0wHRadX6L5Gu2a2Gtub70mbmGpONOMGpXzsnjwKJn6DZpG6ccHYpIMVISJgZmJe2HHHrNnsozD/2Nlp2jmTWtFebEghOwxdGxyR9mO8zS6Fj2tIjh0ZDCHk0zod0HU//b4QxdfYSrPQCdu3suE3fUJVTP1DgVa0ocffvMZE3S8Rt78EqkjFMSJgbmTnDbbtx9ofAnucdPUzWyNw1V+NOw7BnrmLM2h1qtwn6r32ryrUdESDarZm/k2JU2tGxj5pRM+jx/L/46sjmP3N3MnbiDusqsxQnpUCVOws7JXfMZNjeMWXHd0ewixmVJWU/i/7d3L0BR1XscwL/Lwi4sAquIygpmiUMsWJKhZtpVslIx9d5eBlJRpIUpPiIrH3O9t6grN0sp8pGKSmPazFWvEd4prXxDTJQKpJiG6KqAC7u8XPdx7q5PQG5dNTiew/czA8P8lzPzY/7LOd/9///n/O1e0AX5Xj1BefjjjgAFzhXtQ5mlhYOEWuQvToft5WREyelJju1eAw4sWQhjwnTcz2RNMsR3NUmfoxoFa2fh8VGTkLXjYzw6fDb2mP+Ap/aSKOymUzBDDR/PxqcnJTQdVIDZ+do1u2MIMO1ZiGXe0zC5rwaMYHIhoDZ/MdJtLyM5ypf9SrLEEEbS56ZFZPwCfPmLEQeXjYN2/z/w6ucnxa6KbpCbp48zgjlgdzQN0nabA1B5Q9XsrOUwbseCNYFImagH74WUD8G0BwuXeWPa5L7QMIGRTMnqERXUzik6IPz5RXh7aTbe2n/K2RAkdkV0A9RBkQjGp6hoPOQlNMBYbQV0fRDYZDcxK46smIXMXB/kxWy41GRAnrUCRVNG40RkPNIzEtCLO5BJi8OI7QvWIDAlHXoma5IxhjCSF6UWt+k6ontYV7EroRvkrhuKkT0FbNxvwPmxWlzIT5YTKDipQOjEIVf2jrtIia4j5yOtmxH2y031+Sj97pizPRZx/SPRiesDJcd6ZAVmZebCJy8GF6O1FYY8KyqKpmD0iUjEp2cggcmaZIAhjCRMgOVMMY7Yboe+u9eFNSNCVS42V47CnMc4CiZZnuFITO6HjMwclL6uR28PZwYr2YzsmmGY9WxvZyhz7S+XidTPlJjwZjzCImIQG9HoeJMfMqeuQ69RzhA26Lr2z6BbhLLrSMxP6wbj1WSN/NLvcMzZHhvXH5FM1iQTDGEkYefw41uPYOCHdbgv8VU8078j6k7X4OE1GRjNjT8lzAMhSeuxtPA5JM8LxIxoG3LSdmHE6iw8E+w6ZVma7C83O4wjInLj5heBmKbJGn6ZU7Gu1yhnCBt0fVvTEd3CGMJIwrwwYNEhnHypEKV1anQLuRM9O6l4F5UcqG7H08u/wVjDzyg2ADM3TYBOczlYN91f7hp+Y7DNUt6m5RIR3QiGMJI2Nw104VHgzp9y5AaNTo9+LXVuO9tfjvwwZpsFjNYkN5yzISIiIhIBQxgRERGRCBjCiIiIiETAEEZEREQkAi7MlyF3d3cIgoDU1FSxS6E2YDKZkJWVhR07dohdCrWy48ePo76+nv/b7UR5OW9FkDuGMBmy2WyorKxEbW2t2KVQG6iqqkJdXR37ux1w9bPRaGRftxPV1dWwWq1il0GtiCFMpgICAvhpuZ1wjYBNmjQJgwcPFrsUamU7d+7Er7/+yv/tdqKgoAAeHh5il0GtiGvCiIiIiETAEEZEREQkAoYwIiIiIhEwhBERERGJgCGM5EuoR9HaBVhfck7sSoiIiK7BuyNJes6X4t+LVqNYHYCOnsqLbc7AdeiLbJwd+BcMCrjUZqvEwdwi1B7eivvmjkMPlXgl0/VywPRjFt5bexhe/gIqbXcjceYTCPNW/P6hthPYMCUFpUmrkNLHs/VLpdZjKcNXyz/BLpMXlGYDano8jpRJD6ALr1wkE3wrk/SobsOYlHkY07jNdhSLVn4C95gETOzb6MKb1NbF0R+h4cC7eDjmW7y4OxuJPQWUpD+IYeMq8W12EkJ+M0xbcWzV80hY8iPi4h1tVS61BkcFtiQOxz8HZOOr2SFQ2cuxKS4KI4xfYu/ccKjFro/oD8DpSJIHRwOqLV7o7K0UuxK6WY7T2DQzFYeHpODJnq5nJKkQEjsDd+19A69tPQvhNw61HFqJBYXhCOHbQPpqcpGx0Qx9Px0u5G5lAAaNCULJln2oZL4mmWAII3mw1eBMvSc6d2h+9bXBfMbs/E5SIVR+i+Xb69D7IT06XGpT+PZBdE8zcpbtQfX/OrDhAJYsNCJh+v3Q8swmfe5a6LxO47O0TShzPTReqMIPOccRFH0P/Nm/JBOcjiRpOV+Ogz+UwGRv1l7/PQqNDQj+aS92H73cKKDuQAYSk3dj2Npd+OTJYPDZ07e+hmM7UWz3woAg36ufEj38cUeAAueK9qHM8ig6Np+LEmqRvzgdtpc/QJRvThtXTK3CeyDmfzge2ePjEPXnw5jX7xD+4/8esv8aCa70I7lgCCNpcfeCh8UCN98u8FNf/ThsNR1HuVaPc0vi8Nrw9Vge7XOhveMDc7C1AFCo1bALzmv5/7Gum8RlN52CGWr4eDYe7lBC00EFmJ2vuYY1m4QwAaY9C7HMexoW99VAUdW29VJrcUfQU6ux23wWd02cj8nbBuLNLUPRgwmMZIQhjKTFzQehf4pu1ijAWFKCBn08BgZ+j9wed0Kv9xOlPLp5bp4+zozlgN3RdPWX3eYAVN5QNZuKchi3Y8GaQKSk6zlCIisCGn5eg79tisDKrWOxOekVpD40ABVb9uHj0V3BZX8kBwxhJANmfL+uEL3H3wvfnWLXQjdLHRSJYHyKCnOjlXxCA4zVVkDXB4FN7o604siKWcjM9UFezIZLTQbkWStQNGU0TkTGIz0jAb34eBLpqc/HnNFzYfmoGE8+osUTP9wL/SNDMPeFuXj26DLc7y12gUQ3jyGMJM9+6gt8kH8PXvmwC5QMYZLnrhuKkT0FbNxvwPmx2ot3xllOoOCkAqETh6BrkyEQJbqOnI+0bkZcWSbovHiXfnfM2R6LuP6R6MQhE0myndmDr8u0eOo2DVyrCBR+AzDjgxfx0eC9+KnS7gxh7FiSPoYwkjbBjN2p76D6hQ0Y0dkNBS39ytmvsbgwCskPcIpSEjzDkZjcDxmZOSh9XY/eHs4MVrIZ2TXDMOvZ3s5QJqDuYCZSP1NiwpvxCIuIQWxEo+NNfsicug69RjlD2CCNaH8G3Rx3/3BE+Biwr9gM4c7OF4IYBAEeXe5GuD8DGMkDQxhJmA2Gf03DtCMv4tM0PdSob/G37LUGlJ2sgR1+XEciCR4ISVqPpYXPIXleIGZE25CTtgsjVmfhmWDXKcuCY5+/g9S33aGJG4/ZYZxrlCXfoXhv9fN4LCUes81TEa09io0fHcXTK1djcIffP5xIChjCSJqEWhSumo6UHVFYteElhF1eka2ww3za3ChwCag9tA2bF5XhqZg3EOXLBwxJgup2PL38G4w1/IxiAzBz0wToNJf7To2IOXkoTVRAF9xCAPMbg22W8jYtl1qDO7rFvI9dwyvxS9ERnMUI/P2LJHRS8RZnkg+GMJIYAeeOb8eqFV/BdPer+HxVKK5uJ+iJkHExUEx+EJFLfXHxXG1DTUUtAh4aBm3z2+roFucGjU6PfroWXvLQokdwmxdEIlCoOyMk0vkldiFErYAhjCTFXnUQu452R+y8d+F3zdyiGzo//D52l7wvRmlERETXhSGMJEXZsQ+GDxW7CiIiopvH+RkiIiIiETCEEREREYmAIUyGtFotQkNDxS6D2oher4ePj4/YZVAbcPWzq7+pfXCdx13nc5IvheB04QcFb/slIiIiag2X4lYTHAkjIiIiEgFDGBEREZEIrjyioqVhMiIiIiJqHRwJIyIiIhIBQxgRERGRCP4LlYS9Bv1HKw8AAAAASUVORK5CYII=" alt="" />
【提示】
1. 道路中可能会有多条双向道路连接相同的两间教室。也有可能有道路两端连接的是同一间教室。
2. 请注意区分 n,m,v,e 的意义,n 不是教室的数量,m 不是道路的数量。
【数据规模与约定】
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" alt="" />
特殊性质1:图上任意两点 ai,bi,ai≠bi 间 ,存在一条耗费体力最少的路径只包含一条道路。
特殊性质2:对于所有的 1≤i≤n,ki=1。
【题目分析】
期望Dp。
设$dp(i, j, 0)$表示在第$i$个时间已经提交$j$份申请,本次不提交申请的总期望。
同理$dp(i, j, 1)$表示在第$i$个时间已经提交$j(要加上这次的)$份申请,本次提交申请的总期望。
初始化$dp(1, 1, 0) = dp(1, 0, 0) = 0$
那么考虑转移:
对于$dp(i + 1, j, 0)$, 分两种情况:
- 上一次未提出申请,那他一定还在$c_{i}$处,只需加上$dis(c[i], c[i + 1])$
- 上一次提出了申请,那么他有$p_{i}$的几率成功(现在在$d_{i}$),加上$p_{i} × dis(d[i], c[i + 1])$
当然也有$1 - p_{i}$的几率失败(现在在$c_{i}$),加上$(1 - p_{i}) × dis(c[i], c[i + 1])$。综上即
$$dp[i + 1][j][0] = min(dp[i][j][0] + dis[c[i]][c[i + 1]], dp[i][j][1] + p[i] × dis[d[i]][c[i + 1]] + (1 - p[i]) × dis[c[i]][c[i + 1]])$$
对于$dp(i + 1, j + 1, 1)$,也分两种情况:
- 上一次未提出申请, 那他一定还在$c_{i}$处,这次申请有$p_{i + 1}$的几率成功(去$d_{i + 1}$),加上$p_{i + 1} × dis(c[i], d[i + 1])$
当然也有$1 - p_{i + 1}$的几率失败(去$c_{i + 1}$),加上$(1 - p_{i + 1}) × dis(c[i], c[i + 1])$
- 上一次提出了申请,上一次有$p_{i}$的几率成功(现在在$d_{i}$),这次有$p_{i + 1}$的概率成功(去$d_{i + 1}$),加(同理)
这次有$1 - p_{i + 1}$的概率失败(去$c_{i + 1}$),加(同理)
上一次有$1 - p_{i}$的几率成功(现在在$c_{i}$),这次有$p_{i + 1}$的概率成功(去$d_{i + 1}$),加(同理)
这次有$1 - p_{i + 1}$的概率失败(去$c_{i + 1}$),加(同理)
具体可以看代码:
【CODE】
#include<iostream>
#include<cstring>
#include<string>
#include<algorithm>
#include<cmath>
#include<cstdio>
#include<cstdlib>
#include<vector>
using namespace std; const int N = , M = , V = , E = , oo = 0x3f3f3f3f;
int dis[V][V], c[N], d[N], n, m, v, e;
double dp[N][N][];
double p[N], ans = oo; inline int Re(){
int i = , f = ; char ch = getchar();
for(; (ch < '' || ch > '') && ch != '-'; ch = getchar());
if(ch == '-') f = -, ch = getchar();
for(; ch >= '' && ch <= ''; ch = getchar())
i = (i << ) + (i << ) + (ch - '');
return i * f;
} inline void Floyed(){
for(int k = ; k <= v; k++)
for(int i = ; i <= v; i++)
for(int j = ; j <= v; j++)
dis[i][j] = min(dis[i][j], dis[i][k] + dis[k][j]);
} inline void init(){
for(int i = ; i <= v; i++)
for(int j = i; j <= v; j++)
if(i != j) dis[i][j] = dis[j][i] = oo;
for(int i = ; i <= n; i++)
for(int j = ; j <= m; j++)
dp[i][j][] = dp[i][j][] = oo;
dp[][][] = dp[][][] = ;
} inline void Dp(){
for(int i = ; i <= n; i++)
for(int j = ; j <= m; j++){
dp[i + ][j][] = min(dp[i][j][] + (double)dis[c[i]][c[i + ]],
dp[i][j][] + p[i] * (double)dis[d[i]][c[i + ]] + ( - p[i]) * (double)dis[c[i]][c[i + ]]);
//---------------------------------------------------------------------------------------------------------------------------
dp[i + ][j + ][] = min(dp[i][j][] + p[i + ] * (double)dis[c[i]][d[i + ]] + ( - p[i + ]) * (double)dis[c[i]][c[i + ]],
//---------------------------------------------------------------------------------------------------
dp[i][j][] +
p[i] * p[i + ] * (double)dis[d[i]][d[i + ]] +
p[i] * (1.0 - p[i + ]) * (double)dis[d[i]][c[i + ]] +
(1.0 - p[i]) * p[i + ] * (double)dis[c[i]][d[i + ]] +
(1.0 - p[i]) * (1.0 - p[i + ]) * (double)dis[c[i]][c[i + ]]);
}
for(int i = ; i <= m; i++)
ans = min(ans, min(dp[n][i][], dp[n][i][]));
}
int main(){
n = Re(), m = Re(), v = Re(), e = Re();
for(int i = ; i <= n; i++) c[i] = Re();
for(int i = ; i <= n; i++) d[i] = Re();
for(int i = ; i <= n; i++) scanf("%lf", &p[i]);
init();
for(int i = ; i <= e; i++){
int a = Re(), b = Re(), w = Re();
dis[a][b] = min(dis[a][b], w);
dis[b][a] = min(dis[b][a], w);
}
Floyed();
Dp();
printf("%.2f\n", ans);
return ;
}
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