N-Gram 是一种基于统计语言模型的算法。它的基本思想是将文本里面的内容按照字节进行大小为 N 的滑动窗口操作,形成了长度为 N 的字节片段序列。[br][br] 每一个字节片段称为 gram,对所有 gram 的出现频度进行统计,并且按照事先设定好的阈值进行过滤,形成关键 gram 列表,也就是这个文本的向量特征空间,列表中的每一种 gram就是一个特征向量维度。常用的是二元的 Bi-Gram 和三元的 Tri-Gram。
[br] (一)Bi-Gram 词串生成过程[br] [br] 如果有一个由[math]m[/math]个词组成的序列(或者说一个句子),希望算得概率[math]p\left(w_1,w_2,...,w_m\right)[/math] ,根据链式规则,可得[br][br] [math]p\left(w_1,w_2,...,w_m\right)=p\left(w_1\right)\cdot p\left(w_2\mid w_1\right)\cdot p\left(w_3\mid w_1,w_1\right)...p\left(w_m\mid w_1,...,w_{m-1}\right)[/math][br] 这个概率显然并不好算,不妨利用马尔可夫链的假设,即当前这个词仅仅跟前面几个有限的词相关,因此也就不必追溯到最开始的那个词,这样便可以大幅缩减上述算式的长度,即[br][br] [math]p\left(w_1,w_2,...,w_m\right)=p\left(w_i\mid w_{i-n+1},...,w_{i-1}\right)[/math]
下面给出一元模型、二元模型、三元模型的定义:[br][br] 当[math]n=1[/math],一个一元模型(unigram model)即为[br] [br] [math]p\left(w_1,w_2,...,w_m\right)=\prod^m_{i=1}p\left(w_i\right)[/math][br] 当 [math]n=2[/math],一个二元模型(bigram model)即为[br] [br] [math]p\left(w_1,w_2,...,w_m\right)=\prod^m_{i=1}p\left(w_i\mid w_{i-1}\right)[/math][br] 当 [math]n=3[/math],一个三元模型(trigram model)即为[br][br] [math]p\left(w_1,w_2,...,w_m\right)=\prod^m_{i=1}p\left(w_i\mid w_{i-2}w_{i-1}\right)[/math][br]
接下来的步骤是在给定的训练语料中,利用贝叶斯定理,将上述条件概率值都统计计算出来即可。下面给出具体例子讲解,其概率计算公式如下。[br][br] 对于 bigram model 而言:[br][br] [math]p\left(w_i\mid w_{i-1}\right)=\frac{C\left(w_{i-1}w_i\right)}{C\left(w_{i-1}\right)}[/math][br]
对于 N-gram model 而言:[br] [br] [math]p\left(w_i\mid w_{i-n-1},...,w_{i-1}\right)=\frac{C\left(w_{i-n-1},...,w_i\right)}{C\left(w_{i-n-1},...,w_{i-1}\right)}[/math][br][br] 计算过程为[br][br] [math]p\left(w_i\mid w_{i-1}\right)=p\left(w_i\mid w_{i-1}\right)\slash p\left(w_{i-1}\right)[/math][br] [math]=\text{[count(w_i , w_{i-1}) / count(Allword)]/(count( w_{i-1}) / count(Allword)}[/math][br] [math]=\text{count(w_i ,w_{i-1} ) / count( w_{i-1})}[/math][br]
例如,从网站付费下载几十首歌词,并且根据线上开放语料库建成一个简单的歌词语料库,表 2-9-6 给出的是基于 Bigram 模型进行计数的结果。[br][br] 表 2-9-6 歌词语料库 Bigram 模型计数示例[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAwoAAAFqCAYAAAC6U61SAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAF7OSURBVHhe7d0HWBTXGgbgD5YiCIqioCAqioAFCxF719iNscRYY++9xd5L1Niixq6x996xd8WCihVEiihVEGkrLAN3F8ZcddXoImWH730ebnZmd5N7/nNmdv6ZU3SSlUBERERERPQeXfGfRERERERE/2KiQEREREREapgoEBERERGRGiYKRERERESk5t/BzDo6Oik7iIiIiIiI1BIFT0/PlH9S1uTg4JDyT6nVk1TLJSWsI80xdmnD8x59CtuFdpFye1eVTarlUut6ZGpqKr6irMrLy0t8JS0BAQHiK8qq/Pz8xFf0LZ4+fSq+Ik29fPlSfCUdUixTRvP19RVfSUtQUJD4Sjr4G69dDAwMUv7JMQpERERERKSGiQIREREREalhokBEX6Svry++IiLKfDwnEWUcJgpE9EUymUx8RUSU+XR1eelClFF4tBERERERkRomCkREREREpEZaiULCa0TEiK8/onjmgQfh4sZXU+DF/fsIEsTN7CI2BrHiS/oaAl49eQj/BHFTpHhxD3cC5OLW1xIQ4uuLiOzW5ih9CIHw9AxTtqq0iMQDt7sIY5uk9whBAQhUiBuklRS+7rj94qMfLsr6Yl7geWjGnZAzOVH4uoIKsbGIF19/UewlLBq5Fg8+0e4Tg/Zi1PhdePnF/2QcYuPElyn0YR53CtOnn/iP70lLwtMNGDXkH9z65sQqu5Ih6fYSTN354oMWrW/ohRWtJ+JEtLjjqwgIPDAN806GidvZTHQkot4LYmx4OD6V+yueX8OFh98U2OwpwQv/DJyKY6/EbY2YwSreFeNGb8ejD86PlH0p4Lt/DAau8vi632YtF338T0ze741vve2T1enq3ceSdhOU5wcBr+8dxb4rAZKszwi33djpFprGGyZZiOIWFnaZANdQcTudZWqioPA+gUXzNsEtWHVbQkDIg3M4sncb/lmxGHP/mIsFC//EnFlTMWnafOy8FfHflZzDEjn1opWfExAREoq4uFjEil/Sy5cfBcxyw+xL4zLlj7Bz82lEipsqRs6NUEbuDo9bl3D68C5sWDoLYyevxfUMzOYymoGdLQxcL8BLkVpGhc8+/HM4QDoH2XenwGu5LWpXt1SmDKIEOeQmxeFQszCsDVU75PB/5vsVT2pi8FxujwaV84vbclw9fSG1TQov4Xb2FkIkXBFClDs2TJqJ7XdfKdtbAvxOH8KpW1dw8sBWrFm6AH/OmYPZs2dgwvBu6LP8zJcTeIUfzi4djJbt/sS17PCITHn+OrBmu/J8+v+gxHveQECZpqicT9whio//0uWAgKBrl+DxXlKQt1ZvdLIIgK8gIC70Ge6cO4A1i9fglI80M4f4m0sxfOmNbHERrBGFD04evw2bolZIOb1JnMzwFXbO3gJ3iZ1HZJZlULaEEXIYy5CnTGXkvzIeg9Y/VJ55tUu03x1cPncaxw7uxrZ/VmLJn7MxY8ZMzJw9G7NnDEH332bi0C1fRImf1wbhN3dj6xnfTyenJiVhV0hZfyYCAi+fhXs6FyxTEwV9u8boUsUfU36ejFMxMuTNb45c+UqgauPikMeXQp8RozF2wlTMnjcFv1XM+/+LsI/E3jyMY16qpq0DXfN8yC97g8vzx2OL10PsW7oNd1+r3tJFvnzmXy6wXi7Euo5DvxFjlP/dSZg8dTqm9hmPszoGeHrHC4Gq/492ldG0aUVYSKbTloBXt07g7NP3fvBleZD/h6IolCs14gn+t/H30p24zyeU6uR3cflaCAJy26N28nnsPvMUty6cwbnlgzDhyGvI8uWD4e3NmD93GkYNXo9bn70Jrrw4u3IBd1954LVNU1TFTRw8dFeZIAgIPbMCU2fMxpzZUzFhyWUESbgeZNb10K+nHS5MWIyLsa/x5IEHgpQFzl28Glr2GIbRY8di/JieqOTSF+tm/AzrLyX++kVRb/ACLGgWgH0ngpSRlDijUqjvHILptfthb7BqRzzuHvVHhQ6llMf4BRzbtR5L50zF2GE90anjOGz3/EK/Ee8dmDt/DdYsX4x5yuRs7p//wF15+XD7rzlYssUVd4KSUahcORQyEj8vKfG4tWsZnpsXyxYXwZp4dXYT7tacAac723FRwjfN3kmOS0CFTm1RKae4Q1spE/0PasugKArnlSNGtVOWDzWHTUPvsrmUV1LaxThHPJ4/eIzgeGNYlamJn7oPw/hJEzFx/Cj8aqcHy77L8Ve/ysgjfl4bmDvXQr4TvdBl5X34nd2DU77xEAKv4Ky76rahHvQLFICFLBq3d07Hzlvpm8Fm8uWuDPlqDcfMERWRV1/5u25ZFrVqu6C4EALkK5Jyko6+exD7bqruLn5eTkcTuC9ciusxydAxMIRB6EU8KdAJrZwqoVXVF5gz4yAiFEnQz5Hjs8nGv4yqotOMuZgzawamT52ArpWAuIIt0L9fT/zWoQ1+atIAtaqUR7F8//lv0hLKOihXAhGbJmH5NbEvsywHjPLkhHHK2SIcl0764+eJ3VE+dTVvep8sEddX/Y7D7g+wd8N6bL0UCL2HR3G21GTMammu/IAOclXtglGD6qJqw4ZwMU39mjoZ9AL2YvbcG4iIvImtmzZj+0kvvFZey+kYO+HnUeMxtk99VK3kDAdJXpz9n0HxXzBzVX/8EO6KC/H18GuLuqjsZAuLnOIxFx+Boo17oUbe1M0vM4DdL11R+Pou3MkG3WZMfxiMFavao3hu5Ub4WZwMNEH8mYO47iNH7lL10XHoVMxZvA579i5EB4fPzUUvg6lREt7qFYPLj+3Qb8RYjBk9EiPHTsTkQT+jROxTvDRxQp26lVCyoLH4HQmJv4NDR0qjdcOPHsNQKmW7WnEoH/oMbIcevUri5rLNuPuZsYHSoMCL5wKcXIpD21dviD23EVs/6JttAHPTCNw6egg71y/BjLHTsHTPdfho2c0oWYEq6Dh4MHq0a4Y6Lo7ImRiFROX+yFsbseFFE0weWh1ad8kms0SD0ePQ0kIfBZ0McGzQJJxEPnivm4AdvgJ0lNezhoEncdd6IkbUTt8MNgvcFzdBxXZt8IOhgIj7J7Bl9SLMWXAQdx4exII/ZisvnNbjcuB/9Aw0rYw6hZ/jbnCSskQCnl5PRL3edZFf2TBMKg/A9D5lYZqsTCJksv/IlBUQDExh8u5DcZ44ekEP1Qs/w7Fdm7By4QyM6tEO3f88J63uH/rF0WpgffhM6oO/rqmyVRlk+spYKeOn8DyIi2Z9MLCW6qKX1Ogo20vhSmjwUwt0/7UGnJRZfmGrQjAMuYCDV98oPyAg6PQGLF9xBFGWDvjSZZW+ngkc6tVHRedm6NaiAio4O6OQbiSiZblSuswJiUkwMM6ZFQ7adCDglcdl3EwZ/K1MXgtZI1fhDlgwqwWMb53C2ZQ+RgJCbpzC1dcOqFg+V8q3vopxWTS0vYUV+/y+eMNBGmQoXKc+yhsp8MT1Kcyq10PLkcPQo00t2OeMxtMr2zG9Wz/88+jLo1CTk3VgYVcBFqFP4aP8aIzvNexeOBp9x6zHY4saynNiDijPtpIUf/cADtm3wo/ME9QJATi01BU2A3rB4Nwu3NCpiwHtZdgxaxseSzYRj8Hjl7lRoZz236HRy/UKZ+dPxqRJkzB5ylRMn7EUV0ND4ROgg/yONdFuxGKsnfMLHLT8pmDCrQPYenATlp62QLehP6KQtiUJIplFA3Rp7QjD/A3Qpl5eKHLYoWl9R7xNUF7P6gvwctNF80ENYJnO5cu8aw5FNIKf3sa5bRPRbdQe+CpkyFvEEeWrtkS7qnXQfNhYjBs3DE2dq6BuXRvlz9+XGKPqsNn4zU4XSW+joVcgF55tW47dF45h7errMCxmC73kJOj81yItidGIMcwDvVvrMWvqDEzu2x+uxX9EEUEfeYqURa2fumPM0q34Z3TddK+YjCYr0AijhpXD2/D3YiSE4dzJWPzYs5ZWPbLLWPrQU2b2pg8OYutzHegp9+jlUDYlmT0q2KuyfBkKNuiGbpVKoYCNSco3PicZBshhlBt+x7biVmw8kvUNoPv2KUL07VFMdeIWBMlenKUkB45WCFo7AP3/vowwuScuXHyuCi+S35zH8olTMWP6dEwaNwbrLjxXpvTfQPEUJ139EXFtNy5IcoC+gLBrqzF29EIceRIN4cVebNniinvmjVH20WrMUd1wmbMMW11vwT/qNXz9DGBZ8Mv3RuMVujAyMoBx4H7MnbMW+++8RQkrHeRuOAET+7ZBvfKFoO29MD4tHh4Hj8CuVUNYiHvonWi4b1qDp9WGo0vpHDD03YRJm+5Dt1RHjGjogz9+34T7UnyyEHcP9zyewPOeNvVw/zQdQ0MYFm2M32fMwPRpUzF50niM+PUH5Dcvg9rVKsChkAEUWj8OQwbrajbwPPAaLQa1RHFtTXqE17izZzsupow5M0aNkaNRL/E5YktURrEX1/HI8w7u+3njyOxhGL7gVLpOuJM5iYLCD6fWr8LuqwFIFN5CZm0Ha9XvVq6iKONkjVcROiiUsiMGQQkGsNCJgO/d0zh2xV9tkE3cM1csnz0bC1etxoqZ87Hp7CM8eG2IIlUbo06lBqiRvBY951xGfHKy+I0vSIpApEFBONbqgQkT2qGIbVtMGeUIr/X7EGrlhFJ2hZA/p7Y/fPwcGQo0n4oxzd+7U5sYgpzl6sEq4Dw2jvgFA7Y//bYLNCmJj0PcpwqvK4O+oQFsmnRFk4KC8mJf+dGYtzDMZ4Lox3fg9egqti6cgzkbz+D+8xdfHCSWkKi8LjYsiAY9W8EmIhIKZaIQdeMBDH6ojJRa0dPB24gQBPp64MKhk7inGnsjJQbF8NPYMaitFw55sA+i9AqmPuo3MEaZ5qMxafIY/FKlNurULfpNXQCiL2/HadvRWD7MCtd334b0bnzKkL9qTwys8xKLl51ByK0I6LjUQPNG1ngjc0KX0QNQN080clX5Fb82tkM+O0c4fvGBjIDoOAPkyaNs26ZmcKjaAV1a10XpCsWg6688Bysi4ON2GOsXr8FpX4kNmIm/j4OHiqJVY0txRzbzufOc8rf4wb51uFG4D4Y0LKBscfrIZ14cFcqUgKFyy6LuaEyodBZ9O83CMW9pZQtx7lcR32YIzM7txF1tn/YoCcidP1/q2BtFMHx8I6FvXxwy/2d4q9r1ZAsmLjz/wYQuWilvJVQukYg4bbyhKwTg9LJJmDB9PuZvvoHolB4uCoRe3Irtp67i3NVnePPyGo5FVcZvo8di0uzFWDTyxy+P10ujzEkU9Ivix76jMLjrz6heJDdym+REuMcZHE6Z8WgF9t+9gzMLZ2H2H2twPzYCx5esxv5L3gh+8RyBH/0uGRdvhAHjx2P08H6oYxaHRNvceH35II7eCVNeYBjAsctkTKpXSHkqU92xVV77Rvniyr7dOOerfrkgvA6Gbn5bmCh/KAMObkNw1faoaGIFCxMBOiZyBHpcxMUHEeKnpUIB/yu78c/KJZg/ZzbmzZ2PhcuOIyJnDC5sOI97nrdx93ksFIn6sCpi9U0XaFohPgqhAc/w6O4NXDnnisPKDH7Dmr+xcM50TBg1BAP79UWvnl3RsX17DFbd6X6XtSt8cXL5DMyYuwEXH3ri0hU33LrmhfCkZMQIcoR7euKVjhnyFqqA1v17Y/Dc7fi7oz3Ubm4Ir3BlzQSMnTQdfx19CK9z67D/5DmccVcmFcl+cPUujp9qmqV8VGbZAD+XfIo9u0/hblAowsMkOJWPkSPa920OwwdvoGuf2lEr+a0ODExSj+D4BF0Ypbz+Soqn2LXJH036NUbBEq3RTN8Vux9J7OI2hQw2zeZgx+RKuB+ggF1hM+RUBOFlsjmKGJihYsNmKJ0nCeFBgQiLDMb1jXMwfOBMHPP/1G2oBIRGGKCglZ7ywiIJr5+dxb7NK7F45114HFuMGX+uxdHH8bB2qYzi39ADTBskPDyEIzat0KSAuEMqND3PqQjK9rJ9EzwKdEDv+oX+/Q0w1FemCP8eioZw6DQH0ytcx/TePTB0zjocuRui/CXVdq9x6UwMyjWshnaNFTi484nWzQj0vsS4WER4uWKZ8rd+5vjB6DJhN3xy28PijSd8EyJwZddFJNlZpFwvabfcKGYaD79wLWyBMhs0GDQDsyb3Qr0aTrB+vA7TJs/BXys3w02/Jnr3qoLIO74wz+GJvcs34fLL9J+bTSdZKeWFTmrH/MDAQERHZ9z85HHnpmGyf3fMbp6Ax0HJyG1hiaKW7/36JPjjkY8pHBw/P+uRisJ7M6ZuC0POXE4YOtgJt3e6IW/b5igcch+3b7rjjtthHHtWHNXLW6GQfWmUc6mKSrYf/srFnZ6O2W8GYHzR7fi142HYdq6JvIo38DhxG/mb1INt7jwwL+yC5q0qo2AmHUkODg7w8vKCWG3fR4w/PLzikK+EPaxMP1WwWJyYvgDJIyajyZd7z2hMVa6AgADExWXQ/d7Yu1g/dBDmuuvD3qE4bAtbo2DBgihoaQmLApYoYFkQVlZWKGD2+XlPYl+/hm7OF/hn2V04VXZC6VyXsPBKQ0zuaAyvx8/w3Pcmdu/2Remyr/DP7drYuWcgynziMaggj0WikS7clq5FQv2SEBRVUeftaizyqIlm9q8R7lgPdfLGIdjXEw+uXcDjAu0woNF/dcf7fnLkyIG3b9+m1JGfn99/TK35PUTg+IaTsO/UHsWVVyUh22djR8lRGFr+LfaMnIEc0/9E86/q9yIg5MhETPBug7+GVUztKhN1BYsX+qL5hM6wy8CsV1dXFyVKlICnMoFMV/LL+HOiK/Tz6OJ1YjhuusWjTqMyysu4JAhJgIGuJ04/rIpxw+uguG0R5Ptkt+sI7J3wF3KPn4aq58dj6P3K+K2xE0o5WODu/LmI7DcDbd/N3ptBVG3v5cuXiIlJz7vVCbg7pRLGFjqGE72txH3py8TEBNbW1unXLtJ6npM/geue+8hV/2dUtfrwgInZPRozTKdibuOM74RmaGiYch5StQtfX18kJKTP5XvCo9UYs78Epk2oi1zK4+Lcn4sR2GoSOqXzyUNVrqCgIERFfd/uTlGHp+JP9MW4pgWBK7Mw60VPTO+YE64TJiOomhXuPayMKb/XQnqNSDQ2NoaNjU36nweV5/6X2+din+NIDK6QMXOXqersu5ZL8QjLlz1Eh+G/II/iGTYvuYLKQzrB+PBk/BVVFnkCjTGoqwHmD1yG5D4rMLVp6g3x78nAwAC2trZZYFxkchJ0lf9nDPLZoZxTATzevxybt/2D5Qv/wNQJ4/D74L5oNXrTJxdR+1eCF/btiUbTPhWQI0mZ8MgMkVv/CbZOnoplBx9CblUDHVtXQ4UGvTFx4gj0btdILUlQ3Vn3eaIDux/ywLhMWyw7ewBLJk3C1CnD0LxKNfw6ZhLGjhiE3m2VSUKCXFrza5sUQVnnkv8mCYroYPg8uIWLrvuweflKHHgQhHADc9ho+QCnD+Qsjx5rL8PT/RwOb1+LJXOnYdywfujWoRWa1q0G51K2X0wSVHLmyQOjxFdI1LOG8b3d2P48OXWwfHwI7p1xQ6Rte/y1YwHq5rZCtwm/fTJJUJEZ5YShEIFAXTMUL5QAtwMXEa3QgWHhkrDTuY6NsxZj6dodOHXvBUK9nyIyR24J3PH5gph78FfYIvW6JA5PXgDFiqqCpzzukvTee6qlQOCXunNFXML604UwsLeYJKjkqoIOlZ5h1XZPrb4z+Dnxj24g1qkLWnfuj7EDq6FS7V4YPLAxLN4aoXr34ehdvTBsy1VRtu/PJQlK8sd4quuI0jlUp2dDFK7YALXKF1N+3hDO1Yxw7+xLCdwp/oSExzh42BKtmkio21Faz3NGjmjU5Re1JCFVsuqBk3QJ/ti/wRtVO9dK7fqJvKjV+Qd4rdsLX63sg5sAH38DlHS2gLFMQGRAHEwK51L+lhijQmk51u7MiW4D0i9JyGjJSbGIjdXiBpoUp/yFy5H6eyf3Q5ypA/L57MSaJ9UwtG0uyOXKawfrRpi0oDN0vXzS9Zo00xOFZOWZRqZviKgHrth3KQQ5IyMRXcwFDdv3xe/TlclC+ypo3rbNZy+yVH0n7+07DYNW3VHdVAFBUM1slAflfhmDP+bMwPhBndC0ij1yCwkQVNP4fI7CF25yG1TS88djz5cIfHoFR/ftwKb1O3Dx5ln8M2UMfh81AkP6d0e7dl0xeZenhFZpVMDXdSmmTlTNgjAbC9bswzmP54iWWaJkrYaoUjAcIbBEQSklCt+JEPECOnlKoGT9tqhmmfpUTid/RbTu4IRwNw+E+B3E0cSW6FH5s/Oipop9gEhDJ1jnrITuPaojR0Ky6vYvdPVzolTDvhjcvze6/NIEJfIVQ5kyEuvv8RH5vduItHRAynWs/AHuKorDWRW+lMHcMshSw6wUj9unzuLlp360FX449PcpFOrTAxU+uOEpg+WPneF0fQ5W3db+wYkfUuDZlUDkqlAEhYsWAJ75QmFVBEb6dqhWwgAvYwQkBocj2SIf3vj5f9i95D0JT+/ira1L6nSC7wbQRz+E686zCCzXFJY3duBWyo19AcHnTuOGRE6ECV6HcCiv8gI6sx4Xa53Up1TSlADP7ctw16U/WhX5f3uQFWyKLiWv4q89PsqjTcsIL3FfXgDOqukgledOT59kFC1uCCHkOk48z4XSeY1hIuaMihdeeKrVY+AEvHkTndLdXGslvUVSsgHiPU/jqJcDCr9cg9mnjNFhWDMUkr/G69jUH0L94r9i8uDqX5xRMa0yP1FIUCDywRasuGWGOjULI3cua9iUKQM7q7wpWe+bl29hZmv+mTuoyh8qt5PwK/ErWqkml09WJgNJnznJp8x6JPtsgeMfXsbbUvWRdPMwDp52w6OXyouIXIVQqnJNVKhYH90nzca8+QuxZMU/2HV4F+a2Ey9kJEEfto0GY+rM1FkQxo4YgJ4dW6NZg+qoWKYYChi+QqwitzK3pQ+ppuuMhlmlAjB2qJB6B1Z8x8i2KXrV9sP0gfdR4be6/3mXJvrOcxg4lYSBLB9sbHIhOTYRyTl0kZSkC5neuytjBcKTDFEgnbp/ZbqEVwiNiIXHpRCYl0q9ug+7cBFCZXGglkx5/BrovXcuSMTb4BCEqibMfp8QiDN/r8WLesPQsdQnjlL94mjboxSOdOyGWYceI0oCt8cVwUEIlfvj/CNDlC+h+rWPwt0Tp3DuzGKMHT0Wy649wrVlEzBh1Wlc3jseE+cuxY7zn1qELgGPLkfAtk6RlDtZyUkCEsIuYtXae0guaIacOZ3QoaUCGxa4IlD55cQgXzyXxFCZBHgdOoQ8rZvC6jM/IfSxJNXPqiSFX1uNja9aYERr2/eeYKrow+6XXrA9Mh2bn2jXM0mF7xW8tq4B4cR6HHpwD3ejrFDy7XXsOxOLaoNmYnT5u1i9LzUBUrx8gAfB2vfMNeqRG+6mzF2fgJeBccidR4sP5qRovLqzG/OPAT+UM4G+/Y/o0/dnOCozAkVEOKJl+v9O9y/7/2ChdJG5iYLyB/3U8dPwFOzRpUtl5FX+8MfGRiLS7z5uXDyJw7s2Y8Mpb0RFhXzmscpboHBtNP8h9TJMERKIMEHvk2slJMXEIkH/M7fEhRc4454bDRrYoEyrocoL5YHo2amN8kK5BiqWtoapvh709LPXr4ciJgwBT+/j5sVTOLz3PB4FhSM4GyxY9U3iHuCS3AnN7BLx8qkvouIVyhYstr7X7thzKAatxjvjyboduP/FYT/huOZriioVDCH3PIbNB27hWVgcDHPqICn+LWLjgvH0/g1cdD2ESx6hiJbgGOYUykPMd+9ojDltglLW+hBCL2DvszL4tc67ldX0YaQThfBI8fI2IQRh9x7C6922SoIvXFduwcuqw9C3ev7P3GAAjCv2xMT+eXFv62yMm7EcOy480+rZkHR1vbFrVG+shgucU24t5YTtj8MwZdwEzPpzDqZNn4E/505C4zL1MHzpKqxcMR+D6xdUj0/EJZx764JmxVSXR5G463EVJ06+RMXuHVHP4hEWDPgLDx0HY3CJ05g8cTNuvHgCX18JPFJI8MbhA6b4uan1Z9sMfSgmLgaKJK2+Z/tJUe5bsPqWAwYOrpWyFpMao7Lo0b8otvYehc23xUVKs7xI5TVVAso3sUfpek7wntINlwvVQIEcxdGsY0M4mBjAoeNAuNyej8UXgpTXqP7wD/v4DkzWl8suPwK3z8Xa06dx1dsajrba2w0i4vIpXFZUQodWMhxasAHeb2NxdftmbN68AydeVUafDvYfJbHpJ5MHMwt45emFuKIlUTjlkdcrHB09AOfL9kTzEvmQN09e5DEzg5lZLpgY/vfpO+bIMPz26Dfs+N35o9llFHi0+BcsttqE1e0+7rYhIOjaMTwp0Bh1bT8R9rizGNv5In7aOhXVssAjBNWAme87mFmOp4fXYMd9OYxzGMJAX1+ZnepA18AUZuZ5kc/cHObm+ZHfwhKW+ZVZrfit701VrgwdzJxmcfB0PYFX5VqiegEZEnwOYtrg3/Hil7NYXvsp9p4IhkObX1DZQobYB5swYf5j/NBvENpUsVZ7RBj/6CAOhFdD25qqC9t4PNs3Hr3GyTHw6mKU3TsYi3U6oUdlS5jnV9aDeW6YGGTspUzGDmaOha93OCyMg3DiTARKtW6Cku91HYp+sBcrtlxDmKALmYExclk4ov6vyjgr60D1aN3toBsSXZqjehYbUJMRg5mF0Gs472uP+pU/fn4VD5+j87HgmC/8o5yxcP0A2H/yQI6Dx6bV8KoxEG1ViYIQCrd9l6FbvzVcUnI1Oe6tXYVnTQejtVUSXl5ch7kzF+F1xzPY0O37D6R7n6rtpetgZuE53C6+RvFa5TJ0Bdd0H8ycbuJwdkwt7Kh8HqtbZ/wjzvQZzJwA//M7cPxVafzS9ocvPwUWgnFsSg/MvmaEcnUaomHz1mhe4fM3Jr6VqlzfczBzpPsenIirhV9qpM5oFPPEHX4Wzijz8er20Q+wa94CHL7rjaSfN2FTT9vvelxnyGDmmAfYMLQrVub/A8fnNMywNaBUdfZ9yyWkdKVXe1ggROLZFVccv+gBn6BI6JrbwFp5bWZk5oBaLX5EqdRJEr+Ld4OZM33Wo48pXvgiMK8timjS4SrsNHZet0PrFurzrMvd12BTeEf0/fEbZ2gQlBcs267Dvn0rpNxky2SqxvjdZz3KAlTl0qpEQdku/ANzo4jN/xtq1O19OBiQE/nyFELl2qXx/jn41aWlmLL6DvTtXVCnWRu0cH43BZ2AMP8X0C9SBP8/vmPhecMLuX+oAPPnt3BPrxwq2mRe48v4WY8S4OvhhZyly0CZZ0lChs169Fnx8N41E9sN+mL8z5+5qI+8Cdd7BdGg9rdc9Ccofy8EmJqm710UVdtL/1mPMp72JgrK5nJ+MTYn9cHgepr8WKdNuiQKQhh8n+ugsG2+73pxrAlVub5foqBAoF8IzIsWSl0/4T/F4YXbMZyLLIv2jb7vXeuMmvVICHsMz7d2KJWBv5uqOsvw4zjGF5dPXkNovvKo7lIKlt/5NJxlEwX6MlVjZKJAGSnjEwXpyfxEQbup2h4TBXono6ZHzSyqcqXH9KiZLeOmR814qjqTWrmyzvSoRERERESU5TBRICIiIiIiNUwUiIiIiIhIDRMFIvoihUIrlyElIoniOYko4zBRIKIvEgTtmCmciLKHpCTJLglNlOUwUSAiIiIiIjVq06MGBwdLbgo6KbGzs4OPj4/k7qioyqWampfTo2ZdqjpSTWHL6VG/nWqJfdU0c97e3uIe+haqtqeaLjI2VlrLkqumRy1QoADbhYZU7eL58+eSmx5VVa7Q0FBJTo9qZWUlyfauqjOplUs1PWrhwoXVEwUiIiIiIiK1REHcpCxKVU9SrCOplktKWEdpw/hpTsqxY7vQnFRjx/aufaRcLo5RICIiIiIiNUwUiIiIiIhIDRMFIiIiIiJSw0SBiIiIiIjUMFEgIiIiIiI1TBSIiIiIiEiNdBOF6ChEiy+JiIiIiOjbSDZRiH+wCJ3bLsTlUHEHERERERF9NckmCoalHWC49xg8EoSUbcWTf7Bwqw9St4jSSxz8ru7HhlWrsengTQTIxd1ERFpDjmCvu7hz507q392H8I8U3yKibEUiiYKAkMu7cehhjLitpJcPBWqUgK2ZLGXzrfcVTJ+2GjfiUzaJvj8hBKen/oQaTfpj0pRR6Nm6Bqr9PANnQ5ieEpH2EHy3Y2hdFzg7O6f8Vem4Eh4K8U0iylYkkijIYFm5DML+6oOZZ4JTnxrIjJAznylMUkoYihN7n+K3JSNQ1VC1TfT9xbtvxObgDtjvFYCAl764urI9zC7PwfgVN8AHC0SkHWLgtt8XdXe7w8PDQ/l3H3eOTUPT/OLbRJStSKfrkX5JdJvcEo/7NMWkMxHKHXqQGehBRwYo7m/G8XxjMaWxRepnib47AeGvHdB9Vk+4WOorE1VzuPSYgeHNjPD4ngfC+FCBiLSAEHAEJxX10amaE5ycVH9lUKpoXqQ+myei7EZSYxRkhdpizszKkIfqiHuUhGAc3huNVqOawFzcRfT9yWDVsCXqvN/IZPlgXcgCuc3NYcpfWSLK8uS4s3kFFk5vB5fav2Lk0hPw4vSBRNmapBIF1cWaTYcVmN8hj7itlPASJpV/QpFnR/FXh8r4ecVDsKslZQghCD6+emjWvBbea5FERFlUPEyqDcHf80egufVz7BzVAvXbTMXJID4SJcqudJKVUl7opN6FFze1jALeJzfi0K0AhIZHIUHXEDn0ExER8hZ5bfLD2DgPLApa4M2hvxHQ9xiWNDAVv6d9VPWknXX0ZVIsV5zbLLRfZI65m/uhpL64U4tJte1lFMZPc1KOXdYtmxy+R2agR89FCP11Dy4uaZblnspLtV2wvWsfKZdLIomCUpQ3btyPgWVpJxQRZzr6UDR2DxqH5NnL0C6XuEsL8SDTEjHu+GvoOpiPWYzO9hLIEpSk2vYyCuOnOSnHLmuXLR73F/+Mun+XwKY7S9DURNydRUi1XbC9ax8pl0s6XY9y2aFS9fL/JgmKyBd4cvsSju/ZgCUzZmOT6mmDoQWKcdYjSm/CCxybvwGKbtMlkyQQUXZkCMfGjeGSEAe5NK9bieg/SGiMggJee6eif+/+GDRkGMbN+wdH3LzxRt8Kzk1bo17hULyENQozUaD0JITi4qJ5cHMeieE13z2oj0F4+HtrfBARaYmkhAToVXZBuRziDiLKVqTT9ei/RO3A4ImGmL2kFbR3hAIf22VpQgguzBuAPwLqokcDK+il7JMj2OMSIqv9gfFNtHtIs1TbXkZh/DQn5dhlqbJFuOPAyTco36ouiqpuqsm9sXviLHi3+gvjamS9PrtSbRds79pHyuWSdKKgiApGQEAAXgS8QIDnPqw4Vx1rtvRDySzWz/Jb8CDLqiJxafYvaD/lNAITxV0iA4fB2H9jCZpq8dgYFam2vYzC+GlOyrHLSmVTPF6Bdg1G4VbhFmhZ1RJCrAyO7YZjQH0bZMVOlFJtF2zv2kfK5ZJIohCHh9vmYuWNOJgY54ChgT5kerqQGeaCuYUFLJV/FpYFUdDKGoUK5MqSJ7yvxYOMMgvrKG0YP81JOXZZrWwxz91x60kE9CztUa5c4Sz9BF6q7YLtXftIuVzZp+uRRPAgo8zCOkobxk9zUo4d24XmpBo7tnftI+VySWzBNSIiIiIi+h6YKBARERERkRomCkREREREpIaJAhERERERqWGiQEREREREapgoEBERERGRGiYKRERERESkhokCERERERGpUVtwjYiIiIiIiCszaxmuakiZhXWUNoyf5qQcO7YLzUk1dmzv2kfK5WLXIyIiIiIiUsNEgYiIiIiI1DBRICIiIiIiNUwUiIiIiIhIDRMFIiIiIiJSw0SBiIiIiIjUSChREBByzx3e8eKmSOHrhqs+ceLW1xAQ6OmJMEHcJCIiIiLKhiSUKMiQdHkyBqzyVV7q/5++0X3MqtgLuyPFHf8pEX6bBuH3vcHiNhERERFR9iOhREGBV3EOaNKwkDJlEMXHIS5XSZRtZIeiRqodcfB+7IXolDc/JwrP4srg57oFxO04nD54DBGql4Ifzh26jEA+bSDKIuLgd3U/NqxajU0HbyJALu4mIiKiNJPGysxx1+B6rQDe+l6AY/XcuORlD0d9b7y+ugLbivZH8Qcv0L5FEraccMe5o/qYcnU1mpqJ3/2XgOcnXRFYLhnXd5qjZ4cEHHA1QLPOpXC0e2McMa2MQvDEwUvO2HxlJqoai1/LYFzVkDJLlqsjIQSnZ3RCt0UPoGMUh+CweBRoMBEbN41HPct/bxdkGWzjmpNy7NguNCfV2LG9ax8pl0saTxRkAs7N+Q1br9zCP4sW4O8T/pDd3okjzsuwrouFsqC6MKs/GHMmN0P91m1QSy1JUJHBwGc9ho08j9CIi/h7yVKs2HcfrxTKt0xc8NucRVgwtiXq166BcpmUJBDR/8W7b8Tm4A7Y7xWAgJe+uLqyPcwuz8H4FTfABwtERERpJ41EQTcXchWvg5adO2JE34ZwsSkEuyJFYfjiGDadfo1kJOL5wUWYMWs7XluXhYn4tY8Z6OdCuZ9aola1XzG8Y1VUr14dtrrheKOXB+YyQEgQYGBqgtRnL0SUeQSEv3ZA91k94WKpr8zzzeHSYwaGNzPC43senIyAiIjoO5DIGAUD6OcwgtntLfjbWwfKywboGQEK/TKoXsZUeWGvh8Ith2N4HWfYFDNN/conJMMQOXLmhdeuv3Ep+i2S9Q2hG/cQL5X/HgdD5QeERCSlfJKIMpcMVg1boo65uKkiywfrQhbIbW4O06zX84iIiEjraE+iII9BjKob0Kfo6sHAyADFfhmGdjZCysV8fJQcRpa58ebuNdx3P4W/x4/CqMUHcfOZHz6aQfVf8Yk6MMhhg5ajuqFYWATiDQwQeeEWDGvUQx7VB/R0ERcWiOeeN3Bsyz64had8jYiyAiEIPr56aNa8VurxSkRERGmS+YOZ5a8RFBSM4NBQhIWFISxU+RcehlDldohyf0T0W7xNkCMm9BVyNpuHDVMbocC7u4UKL+ybswznwgU8fRyDxm2qwjDkFE7rTMYfFn9jWmAV/OycjJP7X2P0378hV3QeFFB1U3ifEIKT8ydgm08O6HrdRFC5xqhqkROmMdfxxGYQnKNfof7wdrBTfU14gXOrV+O4jwI58lqjYouu+KnM559QpAcOBKLMktXrKM5tFtovMsfczf1Q8qPDPCtgG9eclGPHdqE5qcaO7V37SLlcmZcoRF/HgnatMOqKAZzKloR98aIobFMYNtbWsC6k+rNB4SLK7bwp85p+VnR4OGQmPlgw7Roq1XWBs5krxp9qjWX9TXD/3mM887yIdWs94VwpGAsuN8X1G5Pxg6ob0XuEuGgkGMtwfuo8JLSsgMSEemgaNwcTbzRBeydl0lL+JzTLH40AzwdwP3MUdwr1xqQ2xf4/DWsG4kFGmSVL11GMO/4aug7mYxajs30WzBKU2MY1J+XYsV1oTqqxY3vXPlIulzSmR405jCl/JuNHvYM4W6IQXvq0wZIeUVg79yB0W/ZH++oF8HBadxxusApz63xyyiNltuCHlbMOo95gSyyZCEz6yQNLYsZggvEE/Lw+J6qVz4O8lgWhf3MXHrXchKVNM6dzAw8yyixZto6EFzg2Yx4e1Z+CUTXfH7SQtbCNa07KsWO70JxUY8f2rn2kXC5JDGYWwvygk68MyrfsiQbWqQmPboEa6N7PBSHnbiDQazN2JHbGyM8lCSpRtxBh5IIiuWpjxMgfYRSvrHBDGXQMTFCh9ThMnfA7hvRqi9KWjqhYkT2gibIEIRQXF82Dm/NIDP83SYhBeHiM+JqIiIg0JYFEQcCL85HIW9sGJmWr4Qcj/DszkbFDO/ze1AsDW91AtaEtYCHu/5TIa89g6FJOmRtYolixPEiKUSDZSJkhCrqQ6b2bEFWBEMEIhTJ2WAIRfYoQggvz+mO2jz1KJ97GwX37sG/3ViyfNAqrbnxu5gMiIiL6WtqfKMTcgmtcJXQorYDfQy9Evk1QXs6LxQq/grVbotF1UXXc/XMVbkam7lYXirOeuVGvqhHiPHZhyabLeBwYixymuhDevkV0zAs8vHkBx/dsxYmbgXjDm5VEmSwSl+Z2RsfJ++C6YjB+bdMGbVR/7Tpj+G4DlK/Op35ERERppeWJQgzun3gM258aIL/MGAVlbpjQ9w8EGJngredRLFl5H07j56B7sx6Y1Cke83/pjiVn/ZTf+pD8jitelfoZZQ0B47It8GPScrQf/RLWRQH/R08QEOqHiOQ8KF6pLRYdXoXW+cUvElEmMUPN8afwUpGc0i/0/b/4J0vQNJf4MSIiItKYdg9mFp7D2z8v7Ir9f63l15c3YIuPCSzzFUPdps54/5o+xHUq+s25BoMytdC8fQ90rF4QMggI9vaFgZ0d8oqfA6Jx/8J9mNWohgLel3BdvwpqFssaM6lwIBBlFtZR2jB+mpNy7NguNCfV2LG9ax8pl0sasx5lIzzIKLOwjtKG8dOclGPHdqE5qcaO7V37SLlckpj1iIiIiIiIvi8mCkREREREpIaJAhERERERqWGiQEREREREapgoEBERERGRGiYKRERERESkhokCERERERGpUVtHgYiIiIiIiAuuaRkuVkKZhXWUNoyf5qQcO7YLzUk1dmzv2kfK5WLXIyIiIiIiUsNEgYiIiIiI1DBRICIiIiIiNUwUiIiIiIhIDRMFIiIiIiJSw0SBiIiIiIjUMFEgIiIiIiI1WT9RiIzAa0F8rRQdGooo8fX7FM/O4Jh7pLhFRERERERpkeUXXBP8DmH69NMo0HsC+lQ1w73Vf+N+yTIw9X0Kb58XeBWTAEViAsIvL8Nmm43w3fMbisrEL39M8RSHZo3F5BN2WHBqLuqbivu1CBcroczCOkqbrBe/OPhddcX5+2HQLVABdRu6wMZIfCuLkXLb43GlOanGju1d+0i5XFqxMnP841Vo2/YW+l6fhtBRI/CydmfULFECDo52KGiqzAoEf6z7fRUKjZ2NRvnFL31WPB791Ql/mC7Ehh6F8bmcIqviQUaZhXWUNlkqfkIITs/ohG6LHkDHKA7BYfEo0GAiNm4aj3qWWe+sKOW2x+NKc1KNHdu79pFyubRijIJhyV5Ye2QCqofuwXH5T+jbsTnquDikJgkq8lew/2X0VyQJKoYo1XMYip9di6sx4i4iomwk3n0jNgd3wH6vAAS89MXVle1hdnkOxq+4Abn4GSIioiycKAgIueGKiz5xytcyWNoWRZ7i/bFtXUeYXN6PQ36qgQsCAi/sx+lXZVGzSp6Ub30Vk8po7XARszY8Vf4biIiyEwHhrx3QfVZPuFjqK0+v5nDpMQPDmxnh8T0PhPGkSEREoiycKCiTg3JF8Hzez2g53RXBcR44dsIbUP6uJYUfxcw+AzB40ED07t4V8497QyF+66soHmDfXm+EnlmLo6HiPiKibEEGq4YtUcdc3FSR5YN1IQvkNjfHuwe1REREWbvrkaEjOi/8E030QxH74gki9WxUeQKQIycqtp+Dpcvmo1e9pmjazD51/1eKdF2BAw5zcWBmYZxbexnsgURE2ZoQBB9fPTRrXgvf8GyWiIgkLuuPUTAuh37jOsLo5mvoOpmk7EqO04VhLj3VK7x9q4ucub7hFpjiIdYu8Ua78e1QuHR3tDfYg3V34sU3iYiyn7hbO3DccACGNLMQ9xAREWlDopAiApfDklEub+pWdDBgam2gfJWIuCQZjL86TxAQuGc+TleahsHlVM8gjFG5Z1O8WrMGj76p7xIRkUTEuGPN6kC0m94TJb/l0SwREUmediQKUdfhHe+IIik/YjG46ws4OBgqX8vxNkkPqpQhlQL+z3zx2ecDYScw/4AtJo+piX+XUMhTH/1rP8YfKzw+/z0iIikSXuDY/A1QdJuOzvbMEoiI6ENakSjEXb+CcOuyME7ZuI3rCSVRPbfytaCAAD3IUpeAUJLj8v7D8PvU0wHFU2yZvh+2Y0eh2gcLrclg1XoQXM6Owh+XX4v7iIgkTgjFxUXz4OY8EsNrvhvZHIPwcI7aIiKiVFk7UYgPQVBYNNxcX8DCOfXqPvjocSTWbZW6+rJMHzJDfWWq8E4i3ga8QNDHiYLgj4PT5sGvxUwMqJCSbnxIvyR6jKqA7TUbYOiWu3jN6QGJSMqEEFyY1x+zfexROvE2Du7bh327t2L5pFFYdYP9MImIKFXWThSUGYDnP13Q9WBuOBfVhxB0DOsf/4A+zd+trKYPY53XCAkXr+zjXyLQzR0er9670o/3wt5Zy+DfYCbGNSzw2ZWYTWqMwpIJ+eH293D0GDwDK4895mxIRCRBkbg0tzM6Tt4H1xWD8WubNmij+mvXGcN3G6B8dc57REREqXSSxTWnVcs0q2S9Jaij4fkoFFY5A7D7YCicu7dD+fe6DkXeXo9ZS88gSJBBzyAn8liXx0+9e6GujTIlEPxwbtM5KGp3RMNiqjEN2o/Ln1NmYR2lDeOnOSnHju1Cc1KNHdu79pFyubQgUVCJh9eNBzD94QcU/IaZUKWIBxllFtZR2jB+mpNy7NguNCfV2LG9ax8pl0tLEgV6hwcZZRbWUdowfpqTcuzYLjQn1dixvWsfKZdLS9ZRICIiIiKijMREgYiIiIiI1DBRICIiIiIiNUwUiIiIiIhIDRMFIiIiIiJSw0SBiIiIiIjUMFEgIiIiIiI1ausoEBERERERccE1LcPFSiizsI7ShvHTnJRjx3ahOanGju1d+0i5XOx6REREREREapgoEBERERGRGiYKRERERESkhokCERERERGpYaJARERERERqmCgQEREREZEa7UwUBH943A+GIG5+uwjcPncdwZr/C4iIiIiIJE07E4X4B1j4c3/sDBG3v1leFI7fi26dV+BOjLiLiIiIiIj+lfUThbg72Dx3Bc6/+P/tf7nHefhU/BV1LcUdIrlcLr76mIDnZ1xx472kIH/j3zHQ2geeiQJigh7j6pFNmDdpLvY/YeZARJRtRd/DwXVH8The3CYiysa0YmXmyMsTUb2mO0YGHEOPQnKcH9oRJ1rNwa+yZ/B68hiPn3jD/4UvHvrkQfd1m9C/rL74zXeUicLStujsWRXNLKPwKlKZUMgMoCfEIlqhA0OTfLCyKQwbm6KwL/sDyhc2Eb+X9XBVQ8osrKO0Yfw0l3Gxi8GNP1qg8V/FsObpOrQxFXenI7YLzUk1dlJuE6wz7aIql1YkCqoL/WdHjyCsbktUidmFwX2PQreoDWxKlUPZChVQvpQdLIzFj35G1LqWqHe/B5b2Lg9HuyLIYyi+EeGO9VPm4U7lyZjbuRT+41+T6XiQUWZhHaUN46e5jIqd/O5yTJiwEatulcEmbyYKWZ1UYyflNsE60y6qcmnJGAUZijdTJgnGCtzb+xDmP7bAb7NnYlSPJihrGokHp1Zg0I8/YeEdhfh5dUnQgXXparB6+RBPEpSJg9cZrB3fBc1/m4+7Vg3xo51RGgZHExGRVot/gM3bYtHkF3t8/EyaiCi7ysKJgoDgM3PQrct4bL8XCcF3PZYt2wM3i19Q6c4cjBg5HMNHTMOyvZfh/foVvDwNYV3486f3+ARd5DQ2hGnARowe9Sc2XpGjdGEd5G39F5aM64GfqtgiA24eERFRlqOA59aNCKnfDZVziLuIiCgrJwoyFKg/GpOb+WHitMN4cekVdGo1Qoc2RRAhc8GQuZPQPN8bmNXtgz5tS8OiVFmUMxO/qkZAZEwO5MunB/1ceeFUrx8Gd2+OitUcIfN+inhFGJ6c34r5k+bigBdHsBERZSeKZzuwxrs6ejbIj9ROuEREpJLFux7JUKz9Rlz9uxZu+iSgtF1emCoC4A9L2OXIi1pt2uOH/AJCA54jJOIlzi0ahfathmCn98ediOIRFGoAmyL6qkEYCH98CP8snY2Jq6/BbeckDB49DzvuvIVtrboo9dlkg4iIJEfwx/6V91ChdwtYycR9RESUQjsGM8e54vdee2GQTxevFKG4eP4tmrWpCNWogsQkwFDXAwfcG2DRrGYo6WAHS7URyWFY32sS8i5aifpHe+CXm3UxtK0LnMtZ4fqYUXg1YTV6FhA/msVxIBBlFtZR2jB+mku/2AkIPDAef4R1x8LejiljE6J3dIHNUAOs42DmLE+qsZNym2CdaRdVubRiMLPc/QKiKw1B98ETsXDKj6jddDSmTfkFBd/mxI8jZ+H3hnZwqFwP1St8KklQiruDR7JycFa+lywYwa7mz2hS1VH5WSNUa2AMt0N+HMhMRJTdCC9xdOMG7JnTAqVKlEAJ5Z/zqEN482ovhjqXRLM/b4KdUYkoO9OCREGBJ6f8kadqcRQvUQh49ASKIiVgrF8KP5YygP8bAYkvQpBsZYmIp94I/sQVf/yD64gtURsFVY+Vk4TUpCDSHXtWH8TzKu1hfX4VLkWpdgp4cfgALsSpXhMRkaTJLNFy/hmcPLAP+/al/u0YUx+58jTGhB27sahTSbybSZuIKDvK0omC4sVzBMU9xVF3I1QpbaTc8xrXdu/H4YOT0K1LV0w9cwenp/VEr9kH4bq+B3qNmoKVR55/9HQgHndcX8GxeYmUx8pJiYmIDzqOP/50Q3LhfDA1dUH/LglYNG4v/JVfVAR4wTs69ZtERCRlhrAoXgZOTk7//tnnzwkdWU5Y2JeBvVXWXXyTiCgjZOlEQVf2GKs7NcEc1EKNlPN1Lti3moXlCxdh3eaNWLlqDbZsXIq2FVtg1r4jygRiK6a2LIwPxqOFncBheU20d1SlCRFwu3EKe/b7o+bI/vipoDvG/jwJ7uWnYmqZA+jXawnO+96FpycfKRARERFR9pblBzMLQWdwxNMJLetYiHvekePJjrEYt9MLTyOrYcfJSSijtoxCDG4smYv7DSejpypREIJw7p8TkLXsjlr5Ve/Hwe3PP/Co3VR0L5IEvxN/YtSQCQjv74PTw20/TDiyCA4EoszCOkobxk9zUo4d24XmpBo7tnftI+VyacesR58lx6M1Q7Eyxzgs6vKJC/uIi9h73QY/N/2Wi/54REYKMDP71KjozMeDjDIL6yhtGD/NSTl2bBeak2rs2N61j5TLpeWJQvbDg4wyC+sobRg/zUk5dmwXmpNq7NjetY+Uy6UV06MSEREREVHGYqJARERERERqmCgQEREREZEaJgpERERERKSGiQIREREREalhokBERERERGqYKBARERERkRq1dRSIiIiIiIi44JqW4WIllFlYR2nD+GlOyrFju9CcVGPH9q59pFwudj0iIiIiIiI1TBSIiIiIiEgNEwUiIiIiIlLDRIGIiIiIiNQwUSAiIiIiIjVMFIiIiIiISA0TBSIiIiIiUsNEgYiIiIiI1Eh+wTX5xanofrYu/plaG0biPm2WLot6KIJw45QX8v5YG3b64r73COEPccb1Kp7FGKFolYZoUNYCn/hYmkh1sRIpYR2lDeOnuQyL3X+cC9ND1msXcfC76orz98OgW6AC6jZ0gU0W/fHMmNjJEezliaBY8b+jY4C8RUujiFnqZnqQ8rlCqmWTcrkk/kRBjstrpuGZhaMkkoTvTgjH3X1/oledCqg+aA+84sX971E83Yp+Pw3HqeSSqFRahrPDm6LXhsf4xEeJiLTTV5wLswUhBKen/oQaTfpj0pRR6Nm6Bqr9PANnQwTxA9mP4LsdQ+u6wNnZOeWvSseV8FCIbxJlA9JOFOTXsGWbM7q1sRR30AdkxrBrOBBDWpaEnrjrQ3G4sGoWjjn0woRONfBD9Q4Y3bUEDs9Zgwtx4keIiLTdf54Ls4d4943YHNwB+70CEPDSF1dXtofZ5TkYv+IG5OJnspcYuO33Rd3d7vDw8FD+3cedY9PQNL/4NlE2IOlEQX59M7Y4dUVr5gmfYQQTE0Pky2sGmbjnQ28RFPgCb0JCECreQUlOSkaSIhGJSanbRETa77/OhdmBgPDXDug+qydcLPWVyZM5XHrMwPBmRnh8zwNh2fChghBwBCcV9dGpmhOcnFR/ZVCqaN5s3EYoO5JwoiDHzc3bULpbWxQU99Cn6eh8rhmYwrlyNeid+AtTNz1EXLwnDh59gKoDuqCWifgRIiKJ+Py5MDuQwaphS9QxFzdVZPlgXcgCuc3NYZrtro7luLN5BRZObweX2r9i5NIT8IoW3yLKRqR7VpTfwuatJdC1rZW4g76dPkr3mImpzd5i+6B26Nh7Du7VW42Nw1zAPIGISOKEIPj46qFZ81rII+7KPuJhUm0I/p4/As2tn2PnqBao32YqTgZl3/EalD1JNlGId9+K7cW64ZdC4g7SjGlF9Jk2DC0LhuDw1tN4FhrNgcxERNlA3K0dOG44AEOaWYh7shMzONZpgy79x2L+trO4tHc07O7NxfA/TiBc/ARRdiDRRCEedzZvQaHuv6CwuIc0E/9kM4ZM9EeXU+ewoXteXJ7aEZ1nnEeE+D4REUlQjDvWrA5Eu+k9UTKDporNuoxg23wKloyrg5DjrnCLEXcTZQPSTBTi72LzNmt05eOEtBF8sGXyeHhW747mxZ3QZek2LPrVFJcXzcdWT84PR0QkScILHJu/AYpu09HZPttnCSJDODZuDJeEOMilucQB0SdJMlGIv78VWyy64tfCnJsgTeT3cfPaG9jYFFWeIpWMSuO3MX1RPfEpfPyYKBARSY4QiouL5sHNeSSG13w3sjkG4eG8jZ6UkAC9yi4ol0PcQZQNSDBRiMeDLVuQr+uvKMI84asISUmq/4HaEC1DRzhVMILn44fKn4lUuvr6MDB3RjnHlNSBiEgyPnsuzC6EEFyY1x+zfexROvE2Du7bh327t2L5pFFYdSOb3RyKcMeBHefg925QntwbhzY+QrUhHTJs1W6irEAnWVxzWrVMs4rWL0EdfwcjrFoh9/VnmFJCepnC910mXAG/q/uxe+lE/L7PDP2WTkHflo1R3vL/cYvxWI9h/dcjoVkvNCsajRt7TiGx3Z+Y097hu652LdXlz6WEdZQ2jJ/m0j92/30uTC9Zp11E4tLsX9B+ymkEJoq7RAYOg7H/xhI0zSXuyCLSM3aKxyvQrsEo3CrcAi2rWkKIlcGx3XAMqG+D9M4TpHyukGrZpFwu6SUKwjOcO/4KpZpURgac4zNcpjRGeQge3XmAF29NYFvOGSXMv/9pUqoHmZSwjtKG8dOclGPHdqG59I5dzHN33HoSAT1Le5QrVxim4v70xvaufaRcLuklChLHg4wyC+sobRg/zUk5dmwXmpNq7NjetY+UyyXZdRSIiIiIiEhzTBSIiIiIiEgNEwUiIiIiIlLDRIGIiIiIiNQwUSAiIiIiIjVMFIiIiIiISA0TBSIiIiIiUsNEgYiIiIiI1KgtuEZERERERMSVmbUMVzWkzMI6ShvGT3NSjh3bheakGju2d+0j5XKx6xEREREREalhokBERERERGqYKBARERERkRomCkREREREpIaJAhERERERqWGiQEREREREarJtoiA894G/QtwgIiIiIqIPZNNEQQHPTV3RavYNyMU9RERERET0f9kzUVA8xr6dl1HcvgiMxF1EREREUAThxrEL8P5UrwO5P67sXoc1m13x6LW4j0jCsmWiEHJwCa41Xg2XqytwPEgQ9xIREVG2JYTj7r4/0atOBVQftAde8eJ+kRB8ClO7jcd5WSk4W/tgWb/ROODPawiStuyXKIQewqytlhg3uTdGji6Pi9OW4HqU+B4RERFlTzJj2DUciCEtS0JP3PV/EXCdPQpu1Sbh99ZV8UO9PhjfPAjTp+5BAHMFkrDslSgIPtgydS+KTRoNgyNrcF63BSb11cOqoctxN0b8DBEREWVDRjAxMUS+vGaQiXveEZ4fwLqteVCvfnHop+yRoVCD+ih2aD32fbKPEpE0ZKNEIRJX/pqHhw1mYrBzTuTw/At9/roJnQoDMLv1E4z4bQlu8skCERFRtqajo35pFHvjEs4LtihaJDVNSGFWHHYFr+HajUhxB5H0SCtRkMcg5pOJfRRu/bMAF4qPwfTWNpBBHwUsSqGqS2kYKbcKtpiLxXUOoXmtodj1iNkCERERvaNAoL8/IqwtYPF+nyTd3MhtFovnAS/x0XAGIsnQjkRB/hpBPo9x5/oFnDy8B1vXrcDiedMxftQg9OzUFq1+ao4mjeujZvXqaDvdFcHv9xcUAnB2xV+4YdMfY1raio8MgRwGOaD/b+mNUHbgBqyqdg4DmjREu5Hzsf16INjtkIiIKLtLQtxbufJSwQg51K6akiCXxyn/l0iasnaiEH0dC5oUhI5leTT6bThmrdiOE25eCE0whlXJamjWaTCmLt2M/YeO4PiJM7jkfg8nZjRCgXedC+PuYe/yk0huOhYDGlh91OcwGUnJ4ksVWSH8vNwDr/yvY9eCUehQ5ePPExERUfaji5zGOaGbmIjEDzICOd7G6cLU1PQTg5+JpCFrJwqmVTDyeBCSo/zhcfkE9mxciYUzx2N4/65o16IBqldwgE3eL6yEYFwObQb3RP33+xT+K+nDRIGIiIhIjT6sihVDgbAwvHq/q4EiHK9emaFYUZt/eysQSY12dD1KF0kQ2LeIiIiI/oNp5bqohyd44vv/gZBC8DN4J9RHnaqm4h4i6cnWiUISEwUiIiJ6j5CUpPqfD8cpFmiBvj0ScfLIQ3HgsgJPj51EdLf+aG3DjsokXdk2UYiKjUIC+x4RERFRCgX8ru7F9rMPERt8E8e2HcXdkHfpgglqjFyIll5/YNyybdj611jM9myOZRPqIpf4CSIp0klWSnmho5OyQ9yUuBgc6loIq+o+x9Fu2nWIq+pJinUk1XJJCesobRg/zUk5dmwXmsuc2EXC+/odBOawg3N5G2X68P2xvWsfKZcrmz5RMEGNdoPhkjcb97wiIiKib2QGuyp1USudkgSirCabPlHQXszGKbOwjtKG8dOclGPHdqE5qcaO7V37SLlcvKVORERERERqmCgQEREREZEaJgpERERERKSGiQIREREREalhokBERERERGqYKBARERERkRomCkREREREpEZtHQUiIiIiIiIuuKZluFgJZRbWUdowfpqTcuzYLjQn1dixvWsfKZeLXY+IiIiIiEgNEwUiIiIiIlLDRIGIiIiIiNQwUSAiIiIiIjVMFIiIiIiISA0TBSIiIiIiUsNEgYiIiIiI1Eg2UYjcNQb9Nj5CnLhNRERERERfT7ILrsUc6grTbsZw9V+BhqbiTgngYiWUWVhHacP4aS69YxcT+ATeIXJ8/F/QMbKEnaMVTMTt9MB2oTmpxi5jyiVHsJcngmLF/46OAfIWLY0iZqmb6YV1pl1U5ZLsE4Xk2HhUG9gLdSWUJBAR0Xcm+GHX8Dr4wdkZzh/8VUTtUfsQpBA/RyQhgu92DK3r8m97r9JxJTzY1ukTJJooKODrLaBirZLQF/cQERF9TPHkKK4bj8SuCzdx18MDHil/V7GkbSFUrV8PRfkjQpITA7f9vqi7211s7/dx59g0NM0vvk30HokmClG465cH1Sobi9tERETqYhSVMGTpaLSpVRHlnJzgpPor8AL37pVC40YleLOJJEcIOIKTivroVE1s705lUKpoXsjE94neJ81EIeY63G7cg8f11+IOIiIidXnKu6DMR4MQws6dwMXijdGoBNMEkho57mxegYXT28Gl9q8YufQEvKLFt4g+QZKJQsyV05D3nA7zI6txndMeERHRVwvDOddLsGvcCHbME0hy4mFSbQj+nj8Cza2fY+eoFqjfZipOBgni+0QfkmCiEA7XQ29QpVUD9G6nwObV95SHBRER0VcIPYcTl0qgcaPi7HZEEmQGxzpt0KX/WMzfdhaX9o6G3b25GP7HCeXVE5E6ySUK8XfWYLdea/xSRAbTGn3ROHAF1j7iUH4iIvpvoeeP45J9IzQqzjSBpM4Its2nYMm4Ogg57gq3GHE30XuklSgI3ti46BHqD26CPCk78qPpoOq4/+c6eDJXICKiLwrB2eOX4dCoEYoxT6BswRCOjRvDJSEOcuktA0DfgYQShXjcXzEV12pNRDe7/4/dlxVujyEVzmDy2idgrkBERJ8Vcg4nLjuiUaNi7HZE2UZSQgL0KrugXA5xB9F7JJMohJ6Zg0XBnfBHd/uPTvD6KNVrNBy2D8Zf9zhagYiIPi3k7AlcKdkIjWyZJpBERbjjwI5z8Ht3OST3xqGNj1BtSAcO3qdP0kkW15xWLdOsoo1LUL++sgwzTlljyKRWKPqZiYAjXQfAuUcohu1choE1CmjtfMFc/pwyC+sobRg/zWVM7IKxrWtN7Kh0DHsHZtz6CWwXmpNq7NKzXIrHK9CuwSjcKtwCLataQoiVwbHdcAyob5MhbZ51pl1U5dLyRCEe3kdXYVewM3r1rAELce8nCS+ws19DDDuTE1Wat0br9t3RsZr2JQw8yCizsI7ShvHTXIbETgiBx8XH0CldE04WGffLwHahOanGLr3LFfPcHbeeREDP0h7lyhWGqbg/I7DOtIuqXNqdKAjB8PTWgZ2DZbZZUZAHGWUW1lHaMH6ak3Ls2C40J9XYsb1rHymXSxJdj7ITHmSUWVhHacP4aU7KsWO70JxUY8f2rn2kXC4JLrhGRERERERpxUSBiIiIiIjUMFEgIiIiIiI1TBSIiIiIiEgNEwUiIiIiIlLDRIGIiIiIiNQwUSAiIiIiIjVMFIiIiIiISI3agmtERERERERcmVnLcFVDyiyso7Rh/DQn5dixXWhOqrFje9c+Ui4Xux4REREREZEaJgpERERERKSGiQIREREREalhokBERERERGqYKBARERERkRrJJgoKzyu47BsvbhERERER0beQbKKgq38LU6r0xM4QAeFuO7DhpA/k4ntERERERPRlkk0UZNY/oFIZExjllMG8Yl0UPNUTbea7g88YiIiIiIj+m3QSBUGAIL5MYWiP4vljEZWofC2zRKOZKzCmshkHZRARERFJnSIcTy4ewJbN+3A94IMrRPoGkrlujj6yGH/ffv95gQEszMJweecWrJ4/BUO6D8TU9efwhI8UiIiIiCRKwIuzC9G7/SjsCS6E+m1bo4qNTHyPvpVOsrjmtGqZZhVtXYJafmE0Wsx4heLFDKCjK4OegSF0fU/jXsmxGNnQFrbFHWBnaw4j8fPaisufU2ZhHaUN46c5KceO7UJzUo0d23tayPFk6zB0WZyMEduWokMJQ3F/+pJyW5RMohDvNhltNlbGluXNYCbuizk8AL28hmHrSHvIEI2oaFPkMhXf1FJSboxSLJeUsI7ShvHTnJRjx3ahOanGju1dc1FXZqD5T/tRddcZzK2fR9yb/qTcFiU0RgHIW8Ay9YmBIgBPvCJg6FQSsqePEafadW8Zeo8/igjV+0REREQkHYpH2DBzPh7WGYD+dTIuSZA6ySQKipgohD7Yi2mjhmNIj7ao03MtnuQtA6vX9+AVH4aTa44jqZQVBzMTERERSUy8x37sOJGAUvlf4O8BndCsoj0canTDgnOBH052Q99EOolCWAKKtOyP8XMXYXbHKmjesQNK5aoAF9NHOLd/PjYYjcff/Sv82y2JiIiIiKRAQNjtm7iNsqjUvBOmrNqKo1dcMavMLfz+60CsfaIQP0ffSiKJQjw8vQ1Rrro1TGQCwn1ikatYHshgiio/xGHealMMm9QYFuKniYiIiEgqEhH26hVQsiaa1isBE9UuQ1u0GjUQTWOPYP9JXzBV0Iw0EgXBHzfjrFG9oGr6Kzk8PJNQoqQRhMCz2ONthh/ymyC3ON2RwvcBHoanviYiIiIibacLExMT6BkZwSh1bp4UMuvycC6lh9eRkUgS99G3kUSioPA8iVdFG0PYvQBbbrnhekQRVJCfxT8HovHjlDWYV/Ua/vjnSUo2Ge9/E7cCuJgCERERkTToo5CzM+z9n8Ir8r0RCbqGMDQ0g33xosiYiVKlRwKJQgTOH3+Lqu3KwPknFzzq1wCuxRqhkJEj2g9oDadchnDqPxm1L4/FxGPPkfTGG0+D+ACKiIiISCqMKndB35q3sWPnI8jFfYrnbriNzvitKTufa0rr11GIuLIOu2OaolejglB1PIq6dwVeVtVRMX/q+/+KvI01v4/D1msPkdT1HM6NUq2toH2kPFevFMslJayjtGH8NCfl2LFdaE6qsWN715zC7yAm9FuCsHpd0bhAKK64eqPk0DnoXyl9p7KRclvU8kRBAf+nL2BRwvYrV1yOge+5nTgcXhn925aBvrhXm0i5MUqxXFLCOkobxk9zUo4d24XmpBo7tvc0ig/Fo5v3EIiCKP1DGRT8ugvENJFyW5TMyszZhZQbI9te1sY6ShvGT3NSjh3bheakGju2d+0j5XJJZh0FIiIiIiL6fpgoEBERERGRGiYKRERERESkhokCERERERGpYaJARERERERqmCgQEREREZEaJgpERERERKSGiQIREREREalRW3CNiIiIiIiIKzNrGa5qSJmFdZQ2jJ/mpBw7tgvNSTV2bO/aR8rlYtcjIiIiIiJSw0SBiIiIiIjUMFEgIiIiIiI1TBSIiIiIiEgNEwUiIiIiIlLDRIGIiIiIiNRkm0Qh7Nw6rD4fBEHcJiIiIiKiz5PMOgqRT6/CzTMUb16H41VYCEJCwvBarkwLdHWhK7zE+WXHkGvaEeyfXBfm4ne0EecgpszCOkobxk9zUo4d24XmpBo7tnftI+VySSZREF6cxaq1FxFn7YiSDvawV/4VszSBDPF4vKI7RgV0w/oZDWEpE7+gpXiQUWZhHaUN46e59IidPMANrmfuIlRmg8qNGqGcxf9/HGICn8A7RI6P/4s6Rpawc7SCibj9PbBdaE6qsZNym2CdpYUcwV6eCIoV/zs6BshbtDSKmKVupgdVuSS6MrOA4IAg5LYpBPmluRh72B7j/mgFWy1PElR4kFFmYR2lDeOnue8du5i7KzF47FHE5wU8z52Ap2UfbD60BK0KK38kBD+s71gFvXeFIEn8fCpd5Gr2F27tH4QS+uKu74DtQnNSjZ2U2wTrTHOC73p0rNEXuwITU7YNSg7CngtL0SJ/yma6UJVLsomC3/a52JtoAr97eTBgVheUNBTf0nI8yCizsI7ShvHT3HeNncILu1a4wbF7F5Q1BaJv/4k29adBNt0dh4bYAw//xsD5cWjUvS7s8hiKA/licH56exytdhyHh5fCd8wT2C7SQKqxk3KbYJ1pKgZXF86FR5V2qK48byn/i5CZWsGhaF6k5z1wVbkkmigohe1A106P0G/PdFTNJe6TAB5klFlYR2nD+GkuXWMnv46pddvAs78btnQthKi7N/HSzgVl3u9fFLYbvaqvR5kDhzCs1PdME9gu0kKqsZNym2CdaUYI2IEZ2wpg5Jg6SMkTMoiqXNKd9Sh/HdQppUCsnrhNRET0ESHSByE2QzGkVaGUO3N5yn+UJCiFnTuBi8Ubo9H37HNERPRV5LizeQUWTm8Hl9q/YuTSE/CKFt/KABKeHjUPHM3e4mkIJ0QlIiJ18YGXsWLMZiQ2b4KSn33yHIZzrpdg17gR7JgnEFGGi4dJtSH4e/4INLd+jp2jWqB+m6k4GZQx17cSThT0UNAyGSFBCeI2ERGRioDQ27uwYOp0LDt0Amt7NEePlQ+UP8efEHoOJy6VQONGxb/r2AQioq9jBsc6bdCl/1jM33YWl/aOht29uRj+xwmEi59IT5JecC05KQbR0ez7SURE75PB4od2GL/6JG5cWouOxQJxePlmXIsT335P6PnjuGTfCI2KM00gosxmBNvmU7BkXB2EHHeFW4y4Ox1JOFFIxOvXkWrzYBMREb2Ty+k3jO9XBwbBoQhTe5IfgrPHL8OhUSMUY55ARFmCIRwbN4ZLQhzkGXCRK7lE4fWd87gWqDrbx8PPPxZ58ktg8QQiIkon+rC2LghTxxIoZiDueifkHE5cdkSjRsXY7YiIsoykhAToVXZBuRzijnQkuUQhT6kCeL58JP48eACnHhZBOXuJLKBARETfhSC89+hA4YOjrr5o3Kc9yn70cxFy9gSulGyERrZME4gok0S448COc/B7N4hK7o1DGx+h2pAOGTLBgjTXUYi6hUXt6mNWwX/g+U9rmIu7pYBzEFNmYR2lDeOnue8ZO8Wjpfi5zgz4OzdBPad8SHgZBIO6QzG1d2XkFT+TKhjbutbEjkrHsHdgiXR7osB2oTmpxk7KbYJ19u0Uj1egXYNRuFW4BVpWtYQQK4Nju+EYUN8m3Z90qsol2QXXhOC78IgrjQoS61jKg4wyC+sobRg/zX3f2CkQ+uQmPPxjIMtlDcdypVHQWHzrfUIIPC4+hk7pmnCySL8urGwXmpNq7KTcJlhnmol57o5bTyKgZ2mPcuUKZ9iia6pySXdlZoniQUaZhXWUNoyf5qQcO7YLzUk1dmzv2kfK5ZL09KhERERERKQZJgpERERERKSGiQIREREREalhokBERERERGqYKBARERERkRomCkREREREpIaJAhERERERqWGiQEREREREatQWXCMiIiIiIuLKzFqGqxpSZmEdpQ3jpzkpx47tQnNSjR3bu/aRcrnY9YiIiIiIiNQwUSAiIiIiIjVMFIiIiIiISA0TBSIiIiIiUsNEgYiIiIiI1Eg/UYjyxbMgQdwgIiIiIqKvIf1EQXEZ4+v0wp4gcZuIiIiIiP6TJBKF0Ivr8PdBL8SJ2x/IVR6lbAE9UwH+rodw5bW4n4iIiIiIPksSiYJF9Saw3NMYdWbfxNND67DfUw7B/yQOXYlQvqsHg0LWsJK9wZXVg7D6UnTql4iIiP4lR7DXXdy5cyf17+5D+EeKbxERZVPS6Hoks0KreYvQpaABClUyxM7WfbEXBfFofk+s9BSgY2wMo4C9uFZ0Cf5oZip+iYiIKJXgux1D67rA2dk55a9Kx5XwUIhvEhFlUzrJ4prTqmWaVbR/CeoYuI6bgrAR81D9yAwcdGqD+B37YWNnjaIde6JaLvFjWorLn1NmYR2lDeOnufSPXQyuLpwLjyrtUD3lXpIOZKZWcCiaF7KU99MP24XmpBo7KbcJ1pl2UZVLGomCEI6rG3bhTcM+aGKjOq0LiAp6Bv8XQXjhdxcb1xxHwbJlIEQEINSyPebMbIWi6X32Tyc8yCizsI7ShvHTXHrHTgjYgRnbCmDkmDrI6GfObBeak2rspNwmWGfaRVUu7U4UBB8cnDkXh4IEPL0egwHHtqK9VRKCTqzApmcyCFG6KKJ/DJ131ICP2xjYamly8D4eZJRZWEdpw/hpLn1jJ8et2Y1Rb9ZjWFWsi2Ztu6Nvt8awz6CMge1Cc1KNnZTbBOtMu6jKJZEnCp6YP/4watRKxObDLxH/8ARe/nYCR3okYvkvP2Hmq4roW68yqnfrjUZFjcQvaSceZJRZWEdpw/hpLn1jF4kn58/g5uOnuHfpIHbsvQWd2hOwbuMkNCyY/neX2C40J9XYSblNsM60i6pc0kgUFHcwY+ptDJjVC+aKx1g6+RTqTh+InFv7YHJkZeTzN8HkoYYY12oakscdxPJ2tune7zS98CCjzMI6ShvGT3MZFzs5fI/MQI+eixD66x5cXNIM5uI76YXtQnNSjZ2U2wTrTLuoyiWNWY8SY6CAMfRVr2O8EJPbCZaPV2PuvR8xvYcZYmOToVe0DZZuGwSd+0+UPwVEREQfM4Jt8ylYMq4OQo67wi1G3E1ElE1JI1FIjoOQbIC3Hgew40FZFPebi2H7c6L/jPawjXuFV9GpxdQv2Qd/T20Ik5QtIiKijxnCsXFjuCTEQc4b/USUzUkjURDeIOTqWozZqYPqVXLDwKk1xo3/DeWUGYEiNBRv9PSR2rEKkMkkMKKZiIjSTVJCAvQqu6BcDnEHEVE2JYkxCmF7OsJ5YVns3VgGZ1deR1JBMxgbGEKmow9zh5LIn7Mg6lS3T+2apOXYv48yC+sobRg/zaVr7CLcceDkG5RvVRdFDZXbcm/snjgL3q3+wrga6b/wDtuF5qQaOym3CdaZdlGVSxqDmSFAEGRQe1ggRODxqT3YdcwNTwIioGtZDEUL5ELOvGXRpHMrVMgrfk6L8CCjzMI6ShvGT3PpGTvF4xVo12AUbhVugZZVLSHEyuDYbjgG1LfJkJtLbBeak2rspNwmWGfaRVUuiSQKXyHKE657zyCoQFU0rF0BVsbifi3Dg4wyC+sobRg/zaV37GKeu+PWkwjoWdqjXLnCGbroGtuF5qQaOym3CdaZdlGVK/skChLBg4wyC+sobRg/zUk5dmwXmpNq7NjetY+UyyWNwcxERERERPRdMVEgIiIiIiI1TBSIiIiIiEgNEwUiIiIiIlLDRIGIiIiIiNQwUSAiIiIiIjVMFIiIiIiISA0TBSIiIiIiUqO24BoRERERERGfKBARERERkZp/nygQERERERGlAv4HBZ44bz3qyOQAAAAASUVORK5CYII=[/img]
例如,第一行、第二列表示给定前一个词是“当”时,当前词为“一艘船”的情况一共出现了 2 次。据此,便可以算得相应的频率分布,如表 2-9-7 所示。[br][br] 表 2-9-7 歌词语料库 Bigram 模型计数示例概率分布表[br][img]data:image/png;base64,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[/img]
以表 2-9-7 中的 p(一艘船|当)=0.003 6 这个概率值讲解,从表 2-9-6 中得出“当”一共出现了 21 次,而其后出现“一艘船”的次数一共有 2 次。[math]p(一艘船|当)=p(一艘船,当)/p(当)=count(当,一艘船)/count(当)=2/21=0.095238[/math]。[br][br] 据此,可以引出 N-gram 的应用,比如,搜索引擎(Google 或者 Baidu)、输入法猜想或者提示。当在搜索时,输入一个或几个词,搜索框通常会以下拉菜单的形式给出几个备选,这些备选其实是在猜想用户想要搜索的那个词串。[br][br] 再者,当用输入法输入一个汉字的时候,输入法通常可以联系出一个完整的词,比如输入一个“刘”字,通常输入法会提示是否要输入的是“刘备”。通过上面的介绍,应该能够很敏锐地发觉,这其实是以 N-Gram 模型为基础来实现的。[br][br] 按照以上思路,上述歌词库也可实现自动写词,只要不断加大歌词训练词库的量,就可以实现自动写歌词,下载及试用可扫描右侧的二维码。[br] [br] 自动谱曲软件也同此处理,也可[color=#0000ff][b][url=https://pan.baidu.com/disk/main#/index?category=all&path=%2F%E5%A4%A7%E6%95%B0%E6%8D%AE%E7%AE%97%E6%B3%95%E5%9F%BA%E7%A1%80-%E8%A7%A3%E6%9E%90%E4%B8%8E%E6%8E%A2%E7%B4%A2%2F11.%E9%A9%AC%E5%B0%94%E7%A7%91%E5%A4%AB%E9%93%BE%E5%8F%8A%E8%87%AA%E7%84%B6%E8%AF%AD%E8%A8%80%E5%A4%84%E7%90%86%2F%E9%A9%AC%E5%B0%94%E7%A7%91%E5%A4%AB%E9%93%BE]下载[/url][icon]/images/ggb/toolbar/mode_zoomin.png[/icon][/b][/color]及试用。
(二)Bi-Gram 评判语句的合理性[br][br] 假设现在有一个语料库,我们统计了一些词出现的数量,如表 2-9-8 所示。[br][br] 表 2-9-8 一些词出现的数量[br][img]data:image/png;base64,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[/img] [br] 下面这些概率值作为已知条件:[br][br] [math]p(i|[s])=0.25[/math][/s], p(english | want)=0.0011[math][/math][br] p(food | english) =0.5 , p( </ s >| food)= 0.68 , p(want | <s> ) =0.25 ; [br] 表 2-9-9 给出的是基于 Bigram 模型进行计数的结果。[br][br] 表 2-9-9 Bigram 模型计数结果表[br][img]data:image/png;base64,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[/img][br][br] 相应的频率分布表如表 2-9-10 所示。[br][br] 表 2-9-10 Bigram 模型计数概率表[br][img]data:image/png;base64,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[/img]
下面通过基于这个语料库来判断 [math]S_1[/math]=“<s> i want english food</s>”与 [math]S_2[/math] =“<s> want i [br]english food</s>”哪个句子更合理。[br][br] 首先判断[math]p(S_1)[/math]。[br][math]p(S_1)=p(i|[s])p(want|i)p(english|want)p(food|english)p(<\slash s>|food)=0.25\times0.33\times0.0011\times0.5\times0.68=0.000031[/math][/s][br][br] 这里, [math]p(i|[s])[/math][/s]中的<s>是句头的意思,指如果是句头,[math]I[/math]出现的概率; [math]p(|food)[/math] 中[br]的</s>是句尾的意思,指如果是 food,句尾出现的概率。[br][br] 再来求[math]p(S_2)[/math]。[br][br][math]p(S_2)=p(want|)p(i\mid want)p(english|want)p(food|english)p(|food)=|)p(want|i)p(english|want)p(food|english)p(|=)0.25\times0.0022\times0.0011\times0.5\times0.60.00000002057[/math][br][br] 通过比较可以明显发现 0.000 000 020 57<0.000 031,也就是说 [math]S_1[/math]=“i want english food</s>”更合理。