[{"data":1,"prerenderedAt":46},["ShallowReactive",2],{"rendered-post-7aac45fd":3},{"abbrlink":4,"title":5,"date":6,"categories":7,"tags":9,"excerpt":11,"htmlChunkEnds":12,"toc":18,"htmlGzip":45},"7aac45fd","最小化交叉熵损失与最大似然估计的推导","2022-03-05",[8],"懵逼的深度学习",[10],"概率与信息论","摘要 机器学习所使用的交叉熵损失函数与信息论里的交叉熵的推导与思考",[13,14,15,16,17],29320,43165,89787,186408,291108,[19,23,26,30,33,36,39,42],{"id":20,"text":21,"html":21,"level":22},"post-heading-摘要","摘要",2,{"id":24,"text":25,"html":25,"level":22},"post-heading-正文","正文",{"id":27,"text":28,"html":28,"level":29},"post-heading-信息论中的交叉熵定义","信息论中的交叉熵定义",3,{"id":31,"text":32,"html":32,"level":29},"post-heading-机器学习中的交叉熵定义","机器学习中的交叉熵定义",{"id":34,"text":35,"html":35,"level":29},"post-heading-最小化交叉熵损失与最大似然推导","最小化交叉熵损失与最大似然推导",{"id":37,"text":38,"html":38,"level":29},"post-heading-伯努利分布的最大似然推导","伯努利分布的最大似然推导",{"id":40,"text":41,"html":41,"level":29},"post-heading-广义伯努利分布的最大似然推导","广义伯努利分布的最大似然推导",{"id":43,"text":44,"html":44,"level":22},"post-heading-小结","小结","H4sIAAAAAAAAA+19W3PTWNb2fX6FyhdTSUEcy86xiV31TfNOdQ\u002FdVF9CjYeUk6gT0T5hO5C8nrwVQiAJhBi6oUmHdDdpThkGSBgY2k4M\u002FIP5EbS27FzxF77akiXLsmRLsmRJzrohRoetLe291l7rWc9ae3TaT9CTQU8ykc70TlORSTo+1cve3ig\u002FuewJ8X9H+6b9oa7RZIjd2kc\u002F7aAXT5jCA3Z1gXn3oXRnp7S5xOw\u002FQrnV0rX\u002FsDd\u002FRY9eoeV37N09Jr\u002FOfNhmL++WX+4fLq9JLyttLrHrO2i3yOTX2YWfywtXRvuSoa5Rxa68eMj+uOwJ8X8rXZkO1F8oPozJv5A+DL3cZAqrnlDj86N904FQ12iamsjQiXholLoQD42mk5E4MRGNpNNBz3eRDDXbO0mnk9HInEfhnNKx3lgkMx2LekKj+AcxG4vG00HPdCaT\u002FKyv79KlS95LAW8iNdVHjowM930dyUxz\u002F3z9lYeoPCjoGY8mJr7DbVOxSDxDT6RDo7FU4lJoNEaHvhjti9Gh0ViCSGdSVGZiei7o+TYSTVOeUPdoXyzBXZSsXkQlI6lIJpEKejKpGcoTOi5edEG9pZ7KRYlQULxc74PV2zxW+ZWeGeduOlm5SXjFU5X\u002F06Gv+F99\u002FKm+yh2aekAT+PNfjKToSDwT9MQTqVgk6gl9XHmo+QINX6jSs0g8nshE8CwiqPhEAs\u002FNoCeSTEbpCe5o32wvN1u6vuhOHr\u002FQQwSJL7qTPcQx4uRY9tRX893Jf\u002FzjQk\u002FXaF+1ndBon2T0+3BX8aFkRHGKTmdiUQ+BX6V3mp6cpOLCaNdcOx5Jyw+lM6mZjIdIZ+aiVNAzTdFT05nPSCp24iKVytATkWhvJEpPxT\u002Fr9Xn9A1TshEexE7FEapL7mpWPKLQXi6Sm6HhvimvV5\u002FUNkwGujS+UG0lScW4kmz8Aj7LCVcmZ+ESGm+IKJ9PJyASl1jVycHCo5dcLDIxwbVxQbGQimqhMHL2d8w8NDat3LkVFPVhMW25VoYWOnzEtDIrf71d\u002FvXE67sF6ruVW2z0oHmPj5K\u002FMpZPKrzyTTM+My5q+GKXTmd4MUfnrVzydUjoqf1GfN+Af5ucJf3HldCaR\u002FKzX7x3Ab1zpcJT6NoO\u002FQqXD8tcYkDRSeWJS8dv6verqIk3\u002FLx2fIlJUmsr0pun\u002FpQYJ\u002FG+AiGXwvYpfWP2M+O2Fi9SGYIjke39KgziID\u002FxKNs8U\u002F9QPS9oT+rhwo+llGkePlHz2xj1Rf6AJuoCb\u002FR9XHnIWQLtWgYZ\u002FOIO0T7RPkyG0tUOMUhestkSVLU89RqVOuyh5\u002FIJTjB+fd5BTkfWakxzp79e8oLnEQlGbdyGC3dgtPTlg7z5EK9dQ\u002Fgp77+2n4hrB5K+jYq70YpU5+J3J74PzpMl5SoQ+rnxf+T0Tn6RSiYtUqnL8duW40EVaaFi8Ox4iR\u002FticVGoqh5SX01rDb2vbpnPNSs6ObTQlqpz1SO+dTQxJXbv4+VtLV\u002FDhAcbdrJ6w+mZ2LlTY1k6SM4Tye7ZMbqHCEcTU8QF7jd4XOBxudTjCnhJ36DCrCHxUxp\u002FWA+vjUwesCSRSPZG6RidSVtm6JPeYXVDn\u002FQOD\u002FkDMlPfp9WgD4jGf\u002FsteqwJlaeZeIXybJM+iGxuKku\u002FVkCHs6P4bRTHPz0XG09EiWgkNUX1JpIefn3T1KF+r3PGzrjPZYP\u002FJJV4Y66TeXpazbNqvM40wRywyaDUa8tBBZIc0g4q+JwEJzRQMe718I0v582WLk8omqgZZPlAkgHezphqjxgZM3dAykDKzJcyPQBVX5ILGaOrb5n8CwwX2IRVNfM1dTqUs2O0UxxFn3dgWNHur44+iD+Ivy7xb4gBAtwMcHM74GYeZUZXX6Fba+yD39mt56V\u002F7h\u002Fee1PaXEK31pj8ApN\u002FVjm+WPhUrLvm0VO0l2Py+\u002FbN11OGpuIpB03E4UCg5SHX5hHjIa\u002FQvxRYXVLKmQqxq+klFW5XLX+t\u002FOF+eXuNKW6gtR+FgEZxk71+nV1dYLdWK3NK2tZCkX21iAqv0c\u002FLn4pr6PJy+eV7dmvVvll22tAsO91Zs4z08XrldHO9IqoNt4Wq\u002FqolVHVJTxTq21RkQhpOks6myrlmwam4luDUaeXglIbYm2C3ixw+4YGSGJGaLSDce6HBvSbFl\u002F7afQlHl8L4o2XJ+ezpeYILNJ0ey8ZxoOmL7uRY\u002FPiFsfgRCDCNDPJ8pb+2GmBSZRYN8rJ+6QiGeHwjA\u002F3KMZ7BIVKft5ek4kR8JhqdpLgYDZVSuRfPaQvjNwE\u002F2a\u002Fq7gVqzjWG\u002FC0gsTVZVeo6HPD6A633F3\u002Fw3igdr06p8URqkkr1jicymUSs9xI9mZnGgtCvOq9qOzUoDQaY\u002FBU1hZksdHEHhwdbCXRw2kJNDExHlR0QEB32jzgmqKYHSImrKWUIiNoydloDotoMc2u1hHR1NKYmrAdGWqLlNENylaEgy5FccqDB0u42JDdu4wQ2KZBjIfZnMEmgcfjSYRO0V+wwTFOHxhu7ygtrahmezMFV5uAqu7F7+P0K2i1IAWQxTHn\u002FAZPfr2J9+Xzpzg6zv15++hBde41WrpVeHRzee3n428an4lp5YU16BGezPlksrS+zW8\u002FLb3bYjd3yy+3Sy3ulVwdo5V8ot3G4nMOwdOEDU1jF\u002FSruouvP0Mo\u002FeZwbA9irC8zBYyk6ebi8zKfWshu70rTZCg373W+omHMbivW5iMb8Tx101B5WtIALZdR4x2qsZuFs2pwgctfn\u002F1PHSM6M0TwdOT1GOwYqMjkQ8HkrjQwM8f7e\u002F3QmvgMUXqDwgscKFF67KbzNPMqMPQY7cIOcZaq7nmPbbJ6nYZ4f0Xmux+sU6a02s1vVPBqdjknGSezWocEB5VB1i+xWWMFAsmtFmmO3slu\u002Fslv3McbC4Tbsg+XSi\u002Ff2S7ZJkEPaSZJtFW8d1myQbCXJ3tlGv9xAu4XS8+f2sTVpQ2xNB0nt4MCIdo5Yk3kk8DF5Xcvj5ej9PbSyV9pcsm+Mqsp2QvyVEH+lxF+UobFMTyRSlHPGsz\u002FgG2wZ2hWKfeF30zQvqObz4lNx7XBhE+XzaGuHnxp8XVGmcAOt3vxUXGOKm6U7O+yHBfbNAV9sFO0WYNYc7VmDrj9gDh6X3z1nb\u002F72qbhWumNjeaxvtfOb1ew78zjK33anx+gep8wgq9jHpK8SH\u002FpWBXRqiUcDluVRtSxr3kwbQYEzO+9\u002FYA4eVkqk2WfSgBcJsg6y3rIXKdKEOBdFStRRq37vNnKO+SlmUkqPrelmR4BPVMlC61XPQ3M+1wjS0oC2pLpEQ8oapKxByhqkrLmDAAgpa+4kAELKmhOkHmi\u002FIPXtlHqg\u002FQJpCkCxNqwtQPuFee7ced4EA+axMYH2y6WL4lzS\u002FXVZcmilLhxHOSptLpXf\u002F4CW99GrRRwKyj1jt1b9TP4Zf7R08ANfwBDnrubv4FRPLjWV2a\u002Fkl6Kbd3kaYrX1J4vsL1tiozhH9PkTlPvdvlD3WUOkhrNOQR3NyXAUt+o72zSUQJS3d0qP9jHHZfEhU1iBkXPNyLFbN5mDdbsGLB7yVYIn0siKPFShdRh9vaRzBnKI5wPVo\u002F++ZiPswR9Fr5GgYbtOQym1Zm7Y6fMO9jep+dvMW5TU0u3mygisHW4X+P9jlvtqgXl\u002FAxcfWPmx9HSvvigBXoWuXuH\u002F24OXnpuvDzdzOPbJVTQAveUavYXLSEhKJLNbq0z+kbSGcjce5ZV\u002Fod0C2r9TNS42l\u002FjrpNYKngnsbk56N9p7JZouPJ\u002F3j4VFduU2c\u002FAc5dfYrfs128ZzhlH55YvSwRXc6OZSZU\u002FBjV3211tiC2JNDRvLOBtVrQ5SrOboECz8uSfSAXbG8PiMrXyuGh5f8+HB0ra+gwof0Moe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BlZUbcTz5XIMvK6WMHWVaQZeUc4giQJR3McQYGJTAogUHZGcrGsQRIyLIC7iJwF3ULt9E\u002F7rJAIMsKHAdwHCDLCnwE8BEcqnccYkc4wkdwrJMBWVbgqYCn4i5PRaHfFgftFQ65w2CBUKYJwiUfqA4IZd7W2CEIZVqkNu0NZTqAZAGgCIAi7gRFACkBpASQEkBK3AV0QDQVMArAKNqGUbjLAoFoKjgO4DhANBV8BPARHKp3HGJHOMJHcKyTAdFU8FTAU3GXp6LQ79qRNjkhWeGQO8wViKWaIFrygYJYqtPHDmKpEEsFSAQgEXcgmYCTAE4COElnKBvHwhwQSwWEAhCKtiEUOpam5iHJY2a36gAHAILE4BE5yggBjwiCxOD8gPMDzo99zo9jvScIEoMLBi6Yu1wwhX5LRtqCKtIKh9xhr0CU2ATZkg8URImdPnYQJW4xROvU5V2X36C+ujvQgnPq2m4zKuEAPBPgO4DvnC8oAN8BfOfMZditeqeDFuDW0TenxTkhnmhAX4P5DtrDcdrD8fY\u002FqJqGNgj4PuD7gO8Dvg\u002F4Ph2kd8B6aa0BGz6XkW1ndfyhLnD\u002FoSYqW4YnQ12jyRBz8JjJ3ygd\u002FISW99mtBfToKVMslpbeMsW98sttJr+OD+7l0NqPzP4jlFstXfsPe\u002FNX9OhVaXOp\u002FO45Wvux\u002FGG5tHPjU3GNXcqhrZ3y7ht2Yx1t7TDFXXT9GVr5J1q5hvJXmDx3jZ5HsBu76NYa+2QRffhPaXOpa1TsPPcu0g\u002FKb20+SaeT0cicR+Gc0rFeLDYxvEcv\u002FkHMxqLxdNAznckkP+vru3TpkvdSwJtITfWRIyPDfV9HMtPcP19\u002F5SEqDwp6xqOJie9w29X91\u002Fl9zIlU4hJWn3R8Kujxef0DVMxDTCSiM7E4tzVw0MOpEwIrGeFE9XoqhjuVSeF\u002FJkOjMW6iEOmJFJ3MRKmLVDTo8Ym9EOYyv4l7LD0zHhqN0ZxlEaO5n0n+Vx9\u002Fro9vDv\u002FgGtf9hFTikvBvX+U\u002FCbzexRLc0yKpqcqTE6GPl7crx2fik1RKvJkOxSKz9Vf1iaeF3veJN3J\u002FExe53wk+Aso1LNxBi80JXYnj5TIWlzZ7uqbVSmvCF5sTPxhd88FidCiaUHon4WxSvLHabf5c5esQ31LxCfELdouf6qx6n7l3fCh70KxaD2VP6Kn9nAkM30g+lkp\u002Fap\u002F9vezZql+n8bPVvl0LPXH85250VvxTI4R9FWE3JPEN2gXhNizc+H4iMoEthnrlqi4MoXPC24qvIwhfgkhnUlRmYnou6Pk2Ek2bIXp1LfaIQ6XyWno7Ydp3UO3r0RAJOq5PJKRjAOIB4gHi0aYVgw59IdyrPhm0zD0qGUlFMomU8KmOO2LK9PEOSmg0Eo8nMhHsUBFUfCIxybkekWQySk9wR\u002FtmeznHqSs8Tk3R8Sznt1CT813hzDSViYxlk\u002FPEnyKx5IkgEY6kpohwLDJLjGX5s\u002FNEOD0TG8vSQXL+XPb0PDE3lqXniXA0MUUkxYvC2P3pPhskiXCMniRm8TVhzjHqOcafI3vnJAf5+4UzmtoR7wx3yTtb29dzp\u002Fnezo3RlcdMRzLZuTF6njhGcP2gK8\u002FvJnurJxVapuPVlnstbFvaMvFF99wYfbx6a1eYik9Wx2y0rzrcHAwg+qt92PlVxC54J3k6E4t6iEiKjvRO05OTVFycs9JrxyNp+SFFSIwMeAN+zMy\u002FSKUy9EQk2st18bNeCfqhEU\u002FkprHs4ESi0qAy5GIKhDjoHZHiNDUI4rDsXEN40DB13QDarRBwaC\u002FsSg6Qank6KqFjvseuBF+T9qOJPq9\u002FWBpgM44c1o2XBTuiNXmi6VUDGz\u002FPggQUl+DJyro02sG61B2xv6QnFEnZSqJoSyaSz9tfK3my\u002FL\u002F+oRHD2SwuZQDUfYaA8TdWmFUcUmfjIjU04Ne7SLlqRkNunfqDILfOSQoJcutadbGAnAv0ljavYLZza4FfCvxS5wsK8EuBX+rMZditeqeDFmDIrTtaCS9gvoP2cIv2cLz9D6qmoQ0Cvg\u002F4PuD7gO8Dvk8H6R2wXlprQKE5i+klCofcoZcg7g9xf4j7u3BGQ9xf\u002FUEQ9zdv7MyN7lsr9RDWP5K4oF772eqlx26H3AGoHR4XPgHJwok7ONKvujNH69YbCDQIdIsCbYGlLVzPC1fveGJyTrxJGE6\u002FwsDxs\u002FmcvZ+xRl5NVon2bKVIxY9KpAF0Heg6faifBJdzmmXTUYILhhYonyOufMDQMtXQkqvvJl\u002FZ9ORZhUP61SZEU6xcEQaHRiCaYpHqUZhVXPUaGzWKndEULP+GLCcHSApEadQfBFEaiNLYo03A1wBfA6I0AB6AQINAA3gAURpL3gOiNKDrHKfrat4MojQQpQFDC5QPGFquNLT0RWksKDmqcEi\u002F3oQwDYRpIExjkkqBpBfnQPIQToFwSjuk3u5wihYPYJjkhfYLY34eeB3gdZgDeSRn4hMZbqMc8+UAHHwQtaMtauDgt9HBb8tL2LBl9HSAoCeDnmQinemdpiJ417BeVPjAFFZlGz6XNpekuz2z6ztot+gJab92tG86wO1RjW7eZR8sl168R4820cq10qsD5uAAXd8ubS6VXh2glX8dbubYrX2U2zhczqHcM3brJnOwjh5tHm4XUDEn7D\u002F9orx79\u002FDZGvt8m727x+T3SfzUK1fRtf98Kq4pdutTcYUYpS7UDoT520nXbh8t7E33ubgRXET8lRF\u002FUeKvKfFXQvyVEn\u002FNCZvIcc1q3fLt80iGmkqk5pyya5jPO8xDRvJdw6RS3IIBPFRRqZ9raQSPh4arMpquolrptrCwT7XSiADNJFJmdGWumUYJEYJsraLdAtq\u002Fg6VwY5e9\u002Fwbl8+Wnl0ubS2ry\u002Fqm4xm9XX365U365LxNWtLKnplvKH5bZ\u002FDZz8Bjlrlf2m6\u002FdhB4\u002F9Orr0usDXsclQ+zWqn2Sf8qQzJ5yjrAODgcaG7J6ZPKUhhl19Ur9QmDf+FW3Gf+4sqK+r2y2fl\u002FZBnuGhj4uPKm2pXaZOHmUHjhfszmo1nl1lgjT8XCWPE6Eo5OJTPo4cSo875y5NuRX3E4Sq6QRstVJaHEdQ256tNyuQguad+NU\u002FHJ+dbSuAgZl1T1U5aC\u002FVY59pbglJxvmtmwlFGFE+ym5HvPNVSNeM\u002FN37NOFyeZbKUsVZnXb6L+q39gj6sSgbDfm\u002F\u002F5bNHzP1+yerFPnJbvPBv\u002FaEwyPc\u002Fscn3eMujMgr5oKEjeBeO3XlGYEmdurJ7WJ+cgg\u002F9X+qglh6KRP6vOODHOQnsJ3FTeuNRcHHfBXgtD\u002FdgsQyvfYMUCoCUSAgSF+wp\u002FXC7dZgQCatUOyZMH9VFxjnyyW1pfLb3YwGrX8jr27h\u002FZ\u002FYPL7XaMiksYBa\u002FWLxSSdTkYjc0rLsqlLNVF5UNAzHk1MfKeydH+jZ+mmuTlwES908UzQIyw3XPXryor8Zz0r+kx8kkolLlKpih+VqxwXOkfXmQyiG9VX70hLW0vPjKdnknJzQWhPuPVLo3YL3fQtK\u002F3rE3ui0zjp+qb77D\u002F+3BMMJ1OJyXOnxrJ0kJwnOFuFOJf9svtskO6ZH6O7OsZoUbOzA8M85vSNPTZNJfNZuby71iXJxz\u002Fhz0du\u002FQ94SY7wKJ8ZUr6E8rACkcnootzRRKacxg65kcikEQy11l6ym8nkSquf9Pr6+4dVrf5+f4B0vt2vmQChIP1+csRR72KGMA7zvf9S1e4QH6PF\u002FGjyuCZWiEblrXUt4PfzEK5pzG1ol5c2NDhippeWFpw1KbmhCz1ZZH\u002FZckLQqM6X0BuwCdJOMf3NCQV2Nrbo8w4OjOhAcJtsPsRjELZNYwv95ga+vlbR4J1jIkiQTpEQy5Dl5osUAP5WBloaLK8d6tH7vIP9TbhYzbxHIWSJbj1BKz99Kq7Ztx63S5H5WlBkQR+oMVBjoMbar8Z8TdUYzyTk4isXZhIZiqMVlj\u002F8xOSf1QeImMINdnWBOXhc2rrB5K+j9QN2a7W0WECPl9mFZzimtLGL7j9g8vvo5RW0vF9a32P2r9mvHOnQpAIjOa7AV6YVjhnjJn85ScUzdMZJ3ORhLhBhFTe5sQaUyeukpqs0sY5DcU1XaeM5K+sRQ22ZQUHmpO6PhcXywlrp+RN0a4Vduc0cPC\u002Fdf1N+usozkksHb9Cv+6Wf3pee3sZMZRVuMco9YfILTP7ZN1\u002F\u002FBb3cZAqr2H65+dqFlCtdlotAuUrKRdw444ruCSbHHINdANcKbBa3fDOfd9CvzKVqugQ1iaqoTGKHcaUctZN4h6WLqnjoN1+X7r9h1x+zDwrszZdo5V758p3y9s6n4lp5\u002FXf0\u002Fl559zGzf4M5eItyt0t3fsVrKmf2\u002FrGwyEPt7JXX5acPD5evM\u002Fnrhz\u002F\u002Fxv70hH37z8PN9+zyIl5W166iW\u002F8CC9cJKyFYuG61cEubS998\u002FRcsrrld7F3e2WHyj9kHRXZttXT1qWjM8omxWERzufKHPfbnx7xkfipuoq2d8of75e01kn2+zV\u002FH5F+w19+hlb3S8+f2Ceh5Q6J13kEyNaCct2SKSGmk2eKZwuSf8clzeJpcfcsc\u002FFjBJ377F3v9HZN\u002F4WOfb4vqm1f9HU1llbpE5\u002FW4RA1a15TjV3OR+uOqiYASKqvghsnEg+POfq\u002FGkJWgz2JTCm1WW5O00OiG+k4c09MFySsaoMYGz\u002FcEu8njZE8lX5FIjmXP95Lz57K+ee73\u002FLksyf86VjnKXwiEWXBMbYlx1CnrI+O3kl5\u002FP\u002Ffy9d81MBxolARkrPa0hUmdao+0qoq3dZmvzgUFhgf7SVVQoH9AidfrGFTAitypmrbG6SrtUK1Geks8bpIMuOODVs40idHV98IK8KWqxpr3Rf2RIJOukclOlaYmxB2QJpCmdq5wytsQwfrmUok01RBuAnlJaf88S6dPRtOxDdQ8WQdB8WcSxLdUfIISUIWsLAY\u002FpwjPNAab6u\u002F1a75XYzEq+SNoXIhbQhGQv9a8LD9aF\u002FRzMhjGKjGcnRvLkvPHibmxrH++WrNqbix7ej7MzSgnVa8ypVKaUMHvZEdCBLpRl4pCqAcMiEkqSsdwoVoq5ZEqfz4BtEFRK3OiNe01JQI+Ut2UcEPZZXeYpE6vew6T15mT1w+TtxNr+7lU3NSrXbhd3MzdK8ZNcsmncje2eZpUkEwLPlOIwDWaf35cXn5me4q03nTozrL262Os6mNW2lzCuSMPfme3nqOXhcPlHJPft2\u002F8Thsav9OdNX4a9Qyfxl3aXOKTC\u002Fgx\u002FFRcO1x8yBRW+NrlldyhDq0sd1LCYHkoHhVLtrWvipw4baWtNWv5vJaWddSnOy+j1nxZ838ZkNKtCsDQMgBGkepU05a8aF3LtetOEuEYPcnXq6sUseNL2J3Lnp4nKv8\u002Fz\u002F3\u002FVKWsHU\u002Fa+ZIDeLrnxrL0fPA8j+X0zANrp1XWjsX4kVqFPAcjSOZUlupk4k7A6+\u002F3K31Y0ttPBhpu7gvl+4x6LlC+z2Hl+zrK67S3vB+oBbOnVpNgOmgNFw+txr2R2qM2qgt++9UGVAV1M+ZqnD135KqKcsEQtedUK442gXtr75PXKG22CLTydvYHONTjiYGBIc0RjiGyX\u002Fsc07FuBLg5RpruKdgaxegP6FwXWjBUTDKLpPVvjQiTpoq57R2GftLgMDQBqKU8ui50C8cZ0NYeThDd2sG7MP60g148YQoP2J1t9MsNJv8Cn9otMPnr5Q976OprZn8d7RbsC0cI6KpOCJNDJJ0COlqdml9vJjWMNvEFkNDlTbS8X373HOU23BWaaLqPXMMCSP\u002FN117bEJtvkm8sCXoID5pVRfE1IPaaAXoRcA8mx7LhzDSViczzwPvZ4Hkeup\u002FFCHwFf3cM\u002FA77iWlgbRxVD6JNK63x\u002FcRqJ467YwOG4i1NRNC2MlSBQR08xE5LxxECg3hhs1+6TCFFtc5HVPC9G\u002FsJHV5RwdDK2dAHc0bEWa+GmnWDEeBWDeUQQKNdtExdKIJSRpuNOWxnjOWwzRrIYUuEPt7YrfzOULOZ0MeF1dE+\u002FqemzLTZdmSmnREy02b5zLTwBJ+SNtvBKWkCmH3GsctWWw3cdqek2bYY6UrbccliBNlmOhN2sE42t2VX5vrYJoS6knlcIoQuJFQ5MY3Hvq3hmqPYoY8rKyIQfsZQbGZ2jCbCdJw44yRzakTZXiBbA8TA3TyqddlNNaU5mbPTmLbK4XCgCjSq1Rylzdo6Vjjr1D6CwElDo3Wyw0arLjtIfbSY\u002FAtcKHw3J2Ys4j3Mdgto\u002F05ptYDeXy5tLh3ev4ZurQgoFbq1Vrp1jaeE4GRHSV4jt7fSIpfgeBNdu4l3QFPZgsmuGVLHFtCDXdGhcYWNJYStI4SmI8aqM7WGiknYD9+1sqcTTyUgj3N\u002F\u002FMcruBd\u002F9DvnSIlxBo1beQO6i6s4kzegISnB6eabhehEjbcwrukqbZumqG5h0sxlibhhujvKZdFUK+hIT3TAHN2x5Oji0ThwydGe6FARl+9cKbONvObyAt6GmGdzi8a5jfTtvDH6NkdpdY71OWgGTVsrUYsfSH6raamvxW6tuouo3VoNmXz1XnX37Iz6Azqm0EwTAjtfh8aCEjOmsdsdVA+npWI4nFI6TpxpXhBHzsqvlMOpZ+ZDwRwomOOsgVFYpuxwho1xlqCaj6IsQdkOJYddX\u002FRRPh+gLofTx8755BOo5uNStWAsZQK0houHFqr5aA4hQBogpAE6MQ3Q9NxAgzi\u002F3WV2dGeku3cfgQ5KSXOC+2pktkMaKfB6j6rMGkkj1TylWvHKfP6hEZWZFPD6fX636vtmsCHU7bNCLUHdPhv0E9Tts\u002FSPcsI+u\u002FEDen8P7RYw5VkSm3dLYD4TGY9SRCpxCdtHXMiTjxl5iIlEdCYW50IKQQ83ngSWVuFE9XoqhjuVwcHpzCSO1+KhI9ITKTqZiVIXqWjQ4xN7IYwrH4AUAsHchLqIQ5TxTNDD3+oJfaWFLNCIFnBCiRagzh042ZQ7UA0c49fAP7g3Nvja0lh0TRA7mpiqxtwvbwNbAdgKcraCbAr2VeTPuBC2ZWrLJ9pt06awUaGBqQ1T2+FTu1nLxqewmtDA1Iap7fqpbdO4tyBUThanRhO4j\u002Fci9JUrnqLjWc65oCbnu8LY\u002Fp+IRLNfzXfzPEniBHHmOHGyh\u002FhTJJY8ESTC0cQUYTnLMhzuEp6XnolJnyR5vHmPI9Sfx\u002F23up8ifnz7Hqd4u85OdIWp+GR1hB1DXw14hweHlSpOD3oHh\u002Fv9uqIA3LSXHZxIVFpUxm1MQdiGvKTY1TqEbUR+sgmzosrH0Rn7mMCBj69UqESmsXUbs05PWMBmaJ11ajMltjHRWU6JbcLaGfAO8ixTE6dTk0f6vW19Huntt\u002FgN24IAS\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\u002FMvnr5Q97qJhDL26hq7+zW6ul\u002FSfsz7+yP28zB2+JUepC7ZuYv1tw7e7A\u002FI5k6Zlxfr8\u002Fw5u\u002FnZLsNMY3JexG9t9\u002FN9\u002FPTN6g1m3G8K5W507x21wR4XEqExmjiSBBOmYvKq9\u002FmIOh5VtR+bz+kZEm3k4DnC4di0SjGKcTnpdMpGn8sp+lqGgkQ1+kTlRFTwLltVeRjwyTahvB+L39Pp8SbuhuVS5fua2EgZ1GADEZYbV65avKn3X2aqtwgqqx6a84vP92g4XWK\u002FbYuXO1iTXmCjPMCa6TQgta10qfd7C\u002Fv7+JuDTWkn3UhdCn4hq7usAcPJaaXIc\u002F\u002F1baXEK7BfbuHlMslpbeouV37N09dmOXyS8w+We8+cX+chktFA\u002FvvTz8beNTcY1596F0Z4e9sco+KLJb99h7j5nCBr7r9d3yh\u002Fvl7TX21WL56cNPxTX0\u002Fh5a2WPyNyoPuvqa2V\u002Fnz6LCB6awyhR30fVnaOWfaOUayl9h8jdKm0vM\u002FiOUWy1d+09pc0n6FL5vXaOiKclZlvW2SmWjXyXr0FSLUdhROOgZjyYmvlO0IPGmvERkAtv\u002F1T2HaU7SLmJrCh\u002FmNyrmdpSsGJT\u002FJ+xAK+wQTKQzKSozMT0X9HwbiaYlu+NWN9PFV1HJSCqSSaSEZ50QrzqjftFx8aKTWi7670H1KnmvKlvnwhbKsIWy9LUSoWP106dhj8Wh4rrxvXQyyYabDn1XM4baXCwNOz5r39M5Q0cnqaxkK2fZXs7HiXA0EhufjPQErd9++FjlWfxlZC\u002F\u002FiO8EP1CyT7FzvEFyyOdX9gbVeRCcxcJrVrMp5j7viN+n5qIFtBpnjQmVChsJq\u002Fs0gz6\u002FCY\u002FlP1bveGJyTrxJsERJklSgi\u002FLGxf\u002FpB31kLjrsiezUPZHb1DlO6ytcJt+SuZMM94DXz3Ow5WpNyl9SlhdgJroLcwLqIRCWrcfFQC2YPbWAsNyxWgMIy8ZsWCAsOyU2ALwrCB4YFmcgLANh2bH6AQjLsHDCwgkLp\u002FsWTiAsA2G5c2XWWrPQ7\u002Ff71afxOB334Chxy60qtKAdsfcNqCD2AZ9QTkWDblGLdthgDNTcwF1aEQcsAv3NSzxJYC1TR5qL6Zvbbpvw0RqlJENH+4dGOglCC1S0ynfuQjbbhOlVVYIFFhJQZB1KkQXLwOhSY6QAmkru0NYO++9tdmu1wkTd2kc\u002F7aAXT5jCA3ZnG\u002F2CSaRo9Sabu8Xkb2Di68pt5uA5yj073FpAuwWea4qvyS2yd\u002FfQ92t25RdV2XB6E3x4jpdTGFw+7+BIE46yin2kNuwhgn21iC7n0G4R7b0qX3nHU4n5EcMc4eJe+eU2WigKcwLPA3HsuavKL\u002FdQ7ne7hlaR+KtATDwvJ2Keq+X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