{part1}DFN+LOW(tarjan)割点
什么是jarjan?
1)求割点
定义:在无向连通图中,如果去掉一个点/边,剩下的点之间不连通,那么这个点/边就被称为割点/边(或割顶/桥)。
意义:由于割点和割边涉及到图的连通性,所以快速地求出割点和割边对于解决有关图连通性的问题有很大的帮助。
首先我们可以知道这个问题的上界为O(n*(n+m))/O(m*(n+m)),通过O(n)/O(m)枚举去掉的点/边,然后BFS在O(n+m)检查剩下的点的连通性就可以得到一个平方级别的算法。
这个算法显然难以进行优化,所以我们考虑从图本身的结构入手。
如果我们对一个无向连通图进行DFS,将一个点的前驱视为它的父亲,那么就可以构造出一个DFS树,一个无向图的DFS树可能因枚举边的顺序不同而有多种形态,比如一个三个点的完全图,从1开始DFS,如果先枚举从1到2的边,那么DFS树就是1-2-3,如果先枚举从1到3的边,那么DFS树就是1-3-2。
在构造出一棵DFS之后,无向图中的边就被划分成了两类:属于树的边(以下简称树边或叫父子边)以及不在树中的边(简称非树边或返祖边)。
如下图所示:
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" alt="" />
父子边用黑色标记,返祖边用红色标记
性质1:非树边连接的一定是一个点和它在DFS树中的祖先。
这条性质的意义是在DFS树中一个点的各个子树中的结点之间不会存在边,我们可以用“显然法”来证明这一性质,或者用下一段中的反证法:
如果对于点w的两个儿子u和v,如果以u为根的子树中有一个结点x有连向以v为根的子树中的y的边,假设枚举w的儿子的时候先访问到了u,那么在DFS到x时y一定也会被访问到,那么x就变成了y的父亲,从y也能访问到v,y就变成了v的祖先,这与w是v在DFS树中的父亲相矛盾。
接下来我们分开来讨论,先讨论如何判断一个点是否为割点,割边和割点稍微有些不同。
去掉一个结点x可能造成的不连通情况为:它的父亲与儿子不连通,或者它的儿子与另一个儿子不连通。如果出现第一种情况,那么说明在它的某一个儿子所在的子树中没有连向x的祖先的返祖边。如果没有出现第一种情况而出现第二种情况,那么说明它有大于一棵子树,而且所有子树都满足上述条件(如果出现有返祖边的子树,那么这棵子树与x的父亲连通,那么另一棵子树与这棵子树不连通的同时也会出现第一种情况),但是有这样的子树就代表出现了第一种情况,所以这种情况一定是在x没有父亲,也就是x是根节点时出现。
现在问题就变成了如何判定x的一棵子树中是否有连向x的祖先的返祖边,然后记录这样的子树的个数就好了。
我们用DFN数组记录dfs中每个结点的访问时间(访问序号),如果出现返祖边(u,v),那么DFN[v]肯定小于DFN[u],因为访问v是在访问u之前,不然v就不是u的祖先了。
然后用low数组记录dfs中每个点沿着除了父亲之外的所有点能访问到的最小的dfn值,那么对于x的一个儿子y,如果low[y]>=dfn[x],那么说明y中不存在连向x的祖先的返祖边,同时因为low[y]!=dfn[x](不能访问父亲),而且y不能访问到x的其他子树中,这些子树中的结点的dfn值在(dfn[x],dfn[y])这个区间内,所以low[y]>=dfn[x]可以改写为low[y]>=dfn[y],由于low值初值就被赋为与dfn相等,所以条件就是low[y]==dfn[y]。
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eOgiYxwgRD7GgxQanNp8ACh+AStGMj3w27G3lGHtgMZxNvWkexBD/1967rrvjkv7+SmDCutqJyfnll9ZgJS7528robr+1+/gkk5qBjISjDDK0AwxBFptNxNzKyjLyI9m1RAyOshRVYg0kYTNAGLvXWSXHwSW1NoKF7In32kNs1Q7mvk0sK3T38rw0jZ9DpoFOJC7Dn/YTThc2rJVa78ZEHm86fvuSIkxYPmBC3BrRUDG874oudM67Y8OjDuY/fxMo00MHQOTg5mG5wHkIMTaIMKWYWsPHMIQ3HRV7B0aDgzvxUWMMQHJK8SA6cgXK9ZgJwYPIwDqBgMlizJF89d91jT26+6Jr2w768uGxMk1XUOKCk+fCJi2d8q+OJX6Mxic2b4GagumHy8B2gAhIogSJiysHkYBSM3w9AGygNtyeryvPsBGxBoKF7IltqaE8Htp5AiAayXrKkAKQhWUZ3Hpku5DMgDQh7m0AH6Ka1Szo+/LD7zl+uOvFbi/fav3VAVUNRcc2k0Yt/8NWO39/jVNdj2Rp0dPpBCnEZroa2YRwRR4RMIW7iddhwhQnMwkzCWkixsoWDO/NTEL/jExthAmkY5SUKkL/BFiYWrdGb39TWiYWtevaH2bvvbP3eN0P77h0qseJF1pIJ47M/OK175oOZ2mq0bSw8vZfLDwdMMEJGjIH2U6cM2AblQHmQ8dsRBpv5rQk0dI9jy0BGTzRYi2hhL4KhiTWL+M2JFTirpaMLHV3IOV5Y3ACrNuH1FzJ33bz05K/MGz7mI2tgfPjEtcf81+rzL3Aeexip+ehaBNObYdO38ZsfTNcExZ5BQwRiP97t9bmzmbxGchT0EP4XSO8WwVvY+nZHJa/eS2AAxX7NaCFOZcAuurOoS3Tf/8SqC2c0HzZt/rAhs8uHRCbsv/bUczt++2fURJDNAWB/TWWQEq1AZIxmr/GUSN/+2cHntC2Bhu5xbGOEahGXyUuOFBGwMBliJWxYkzgMR7xCbBiF9o1UW7P5179b9O3vLR0+Km1ZLcPGrD/xq+2339X59ptY3AyT8/8Mk8gWLd8LOe+ACNhrGEoMckEOyPHTjtiFuAW13bbnXMBWiB/QYa9jf0/P0N5iKvGSpwyDFNgGMl7krm/Ogyv51vj6WU9tuvyqhQce3VQyqrmoKjFpWvNPLsw8+zStXAo7B9aAErE1bEfcrLZzdl4Mex8VM1wJon/bIdDQPY7tbeSNV8Zu2Niu5JURs1HsNoifjSlAHm7DkraZs9pO/UnryIlNlhUdOqzm699YcscdNPtDWbsCTjdIg/wSTa/hsQPJI+8ix15gXxyQC/KaeBqGMTAEh5EV5AW2QIlvU205/yMwbz4FAWsY5TUb9fpZEYk3YUS8ZswiMCAH4mg4WegMKAtWhSRQb6teqFQQybbpNUud115ovuyy6BeOTpQOj5cOX7TfIdkrrsm/9TbWrQW0IKeQdSRv3BzyCt2MHFDIkQrYikBD9zi22csTYJi00l5bOTjMtuQZLgAFrN+MF15bc/5lS/c/fH7J0NmDRrV86asbbr4l+9rr2NDmP6UxzGJIiKEILntjiOCKS9gkshGyGdwO0wWdhc576TjMxEIiCshD7L7lmVyYdeR1FA3uzE9DBN70ETD5hzdEypA/EcD7L3uzS5iIiAx7DbLEhTiAw3CYHTYagCbjn2/bRmNT18xHNpz+42XjxiUtq2XwmGUnn7751w8ilUB+E6STkTFwFGltSIw/yCVgKwIN3ePYRkPZG37GgEPIKF/HNtsUbsr/bmb6pK8nhg5rLLKWTp3UfsE5bS/OcpYtZtLedlsZuHmICyFRxmRJd8N0w2ShHVEieUgGnBHOCueFbSElXlN5Yt8G7q0P4sI4od4xH66flBrwKUhhJpR3JntmiHobfN9hAq8MonBOBcZzkNqMHJAFZyF5hiY2vl2qUcgKVdi0Sn/8dv6u2z/58ldqBg6fbQ2o3/fQdRdfpf/5T7SvAfI2nBxcIxqag838tgQa2n/ZXhWMbL2XZ4BEyJDf+FfAmzIb3niz49LTF0+uXFBihUYMi59ySvsf75d4GPl2QIFc0UpyWbGzovJiHHCeOceSF7GFckI2SImbZ61NYeKRVyeaL1ibBVcd0DM1uKcscotpbQIKQkqfzpYfKBVajLp9pwOACV6+GDFEuE8ksdBv1DCEhVgbKBe2QtYgK8hDHAH7j21f2vneQy1XnrV0n2mLraEtRROXfOe8Dc89KxuX+lElOw9NW7647fwT/kLZR/H36A840NB+hfjGnAEbOIw84PpWpjfE0tVwFVzyhgB7t5nfjNKFLFqef/ChRad8dd5eQ94YVlR7xP6rrrzUefN1rF0D5QBgiPGueGNg2yAXZIMdiNN7wxoXRvmWpmxxSzsFAdVbz+co/GMrMe07oT3gX9L3zJk+WRBej6me4ai9S1ehlt/r4OrPi4YQjIKr4bAfaWeGX6jGMEAHzEbE67r/8KfW4787zxqXGLDPsuP/O/M/v5DmBTDLBXahosmAHV/AewqcmMEujIYxEKNhHBgHRsEY7zPmba6M/k+gof0Nhgg02OvF6YrKaZsh4s8n0uK4ZDQxG2ZN5F240rK88/cPx449cUFZWWxIcfPJx26YOTObTKOjHcqBKEOu1/BX9dyEAZ83CDDIgzsBhtGrljmPPNN5wo9aivdKWZUN0/b55BczdKwW3Ta0wHZEK1IuawNv/fZ0WjSMgTEM48DYMFoMixHx5wj6Q133oAss0ND+hfgDeVmMIAt0AVkQi4JyxLADtAPdUBoutCO2La0ta351z8KjDosPGhQdOab17PNzr7+FzZuR60Z3O9ysqJxRubx2vEG/hZbFHFT1fd7gwgDBjCgHSuBCsti4yrz++sqLrmoZNS1lVbWOmbThkp9QzRw42hvqBPaLJ7w6UK+9l4hoiIYIC5SXkQEwVGHA6Z7kVg00tH9BBt0GWW/GBnkVzARmQ6zywDpgA2AYyOSwsDl77x1LDtonWWzVjh/aev4Pch+9iUw3CLAZbgZOB7NN4ipSrojqSSeUQEM/j3hGJAoJFGyMoix5vu7OTWZuQ9ctv24+4KBomRWZNGXVTbeqpmYIkddiGpITaAMxvqtBeuKGCmKg2ff5aOxpDvBAQ/sTDFawXTjaa+mrewPbzHCJ8xAwsGh11yNPJo49ocayFlYO2PDjb6q3n6GOxYDOg/OGXSM2tAvKspsXYwtntUtbeC29HmkBnydMoaFpVpAhuELCOVJZkzfeFBXlUKyh65afxqZMmV1SMmfafit/8z+0ohWkvMgVaUD7zWW9rnmi4Ag6gW6vTarvBN/+uNN+SqCh/YmenHkN8luBsPh1QlnAFWzckJv11JLvfGP2wMHzR0xYfd5l7pvvoHMDqB3UDu5SnMsItUM6gIwXSWd2mbZqeCn+bM2AzxPehUVexxEowGF2tLZdRzEXuhQKTIYi89dfccnKYSOaLKvx2GPW3f9bLFsKeNX94s+tUoALYmwG1gEZFGZaGa9mdc8h0ND+hHcRuixsNEwWpkt0N3n5JsZ1a+o3nT09MaTq/WEljWd+O//2P9HWBQXkGC6DBKIAR9gxpJ3CTPPC5r2QjiSeX0yCOWefNwzE6zCSA+fBOSBfaAYjBFZgF0SFkH93h3z8Qdv5P2mpGtVUUrH4mOM6n34SuS4A3TCdQobY28Ub8bM1xK/kDzQ0YJeiGUoDhjmbIZ1hagPasbxp3X2/nL3vwfNLK5ccdlTuLw/jkyVAVnFOiTgE0YUaTaVBXaCsn7bJvdWgMOL3qy/kJwV8rnBBGSgHSosi1syGxZ8s6LtKC31HFHsOJEL3RrzyfPa077cOqZw9YnjLJRfa4VrAzlKXljyLgSLkGQ6E/Zb4BtijovKBhvYzRGAMXA3FTCxguG35F//ecuSRCWtActTEtT+/mVsScCB5FuO6yG+G2gxxAbhADnCFkdPI+XmDfqqhQBOMF0cSLjQECfhcwSCCC1EgBa2gNJQBGQgbiJ9rLCADG8gI2o3JQDGMdK7revKJlqOPr7Ws9AFTcvf/EauWAzmFjIaNvEYGcKEEWa9yf5vxL/2aQEP7FSLoziLTSdAGrFesXnXFzS2VE0NFA9ec+SOa/SbymwCGa6AEBGPgECtAQedhZ8TNCyuIX/rpVw0R2IA12PgtLPY0QyHg34MFRGBmYSPMUqjHN+wN/PMGASpCjkyWVRaUE1bKX4x1MtF563WxMZUJq2Lt987OLHhPYUMOnYaycMkrB/E8RHvYxRVoaL9CwJk85x0ox/3wo5rjT37XGrxkv6PcB2bik+UwGRZXAS4kT1prEuM37SHoHJwuuFmwKRQ7iT/NUXl9zP0kFO4zrD3gc4VAqDdI6fvKvfYwLCJCEMPEwkRku3nFypAYw4aMdlw2Dro3u2+8tuqkr4XKBr8zYeLGB+7HxtVsMixaEUyhE/geVvsZaOhOozfmvd1K920fAr/jhFck5/svBYTVG7rue6RlwqEflQxZOf0nJroAxoZjoMUhtIlsAneS1t5cHE3QBOktXfbK1Mnvj24UtIZLKLT0ZO4tZg/4PNHjw6HeenegT8SRAGEF48Kw7wgSYRhFOREHbBRBAVi9uOPe25bud0jIqlr9rbOkvh4wnUCHd03RFuWe3FucKl5TlX63fAcautMoKJMUit36Kmnfcmg/Mg4AOc0bc64jIFsLaUBhaXrjRTOipXtFqw5Ye/dv0bXWAee8i17BGL/rBwP+lb+dRV/8FkB+6R0XMpnYnykue1pFc8C/Cf8fizsA8a/ewrUqEIERoZ60egVADOa+u/qk45KW1Xzg1PbnnwZpGzBKjMAuKCX5/RwEhpEnKGKhLNjuV725Aw3daRRmJwptraGF5kYaIBEwwRjx+m5qcUkcIhEbOo9o46bv/rimeGDD0cfkX30JbINsx5DDYAEVpkQEBOwqpDAxFrDRHOq45tLaqpHVI8a3/fwXWL9es7HZGAY0DKMTyAPCAsPGkGESkBY20p+8poGG7hy81dv4Gtpj7vk/8w3PDJCHgB24OWilvLXYVdDtQIdbW7P0+LNC1qjGb5yaTc/XaHO4jTMZZAUOSJD3EpICEzJgV8IMG+JQ1hYGOruzj/xtybgDG63S9RecISsTAvLmINjAeiAHv3KpC9wO0fB9sf3oEg40dOfQo6F9tsx9PE1eilE3kAEENrgTxgHBsLDuglnnfvhq+oRTPi7db+k510hrE9DdLZsz0mVsG3mGgQJsr5GZ6kfboIA9DQFnkXVFQUE0GIBS9MIzn0ybusiy1n7nm6apGQCLtsFd4C6whkCQAzZ7kuoAqj8NiAk0dGfhDQ7zwzrSY3v2PfJAFnDgEDohNgwAArrdef/ceNSxtSWjW668DZs2AS6cLuVkXdfOZrN5IrunjaghKNqzykAC+hMCuOCcSFaDDIgg7II3qzmvrzzpK3GrYuGJX8+FagHN0C50BkaD/YYPgAv0/Lu/WAKBhu4stgx00pbqSSIkogU5RhbaRlbDFW/2Qyy08sQvNVnlm6dfrdetd8EuDGwXNsihHJFX+c4QGILWXlL0rn63AZ9fjIbN6BSQaDjd0N0uugA2ydTK759Taw1YdtzxJpoASCGrxBEy/gzSQsfoPnHRfkCgoTuLPhrKhZHFSlgRkTCRIaWZkVNwwDlxHGgC8+JVi75xZr01eOm552DFIhhNTCS+b8CrRNZeaZESaBbRGjoYvxiwKyEIQ0EJOiCbwVkF6gIcQFYsW336WS1W2fovnY70QoMuMl1wHbjsjyo0UIURW/1lMxVo6M6ij4b2GqFErutARLQW2/HdogQlzCB0Z9ZffWd18dhFJ3+blifBWbZdOALjRz9zXh6JN684DxhWMN0g028uv4A9DW9eHsRAckCXIMNQIsgz8hBAYXHrilPPrLNGLf/OBbS0FdwlppuM60mn9no2UH8S0UBDdxZbGqEEOEaTN+1WG9gKiqANMjnJs3cNOY8+0zpwQuveB5i57zvIdpFjHO2PNQiiu+wAACAASURBVCLoghHqa6gNL+DZHZS6B+xKGLAhWWGboV2IgdeMWUDk5DoAI4uXLz/t/A+sqk0zbsXGVSJdSvIknAU6vViB058284GG7iwKSaDUxwcKFrgKtgtN+VVrN739GtYu55xhgiSXrT3wmLbScvzhl0BnVtwME2sjpk8tphTCl4WhYF6pST+59gL2SNjrnGfghzqFAZdhK9h5kKtBGqzi85Ycc1K8aOyG3z8E2Cx5sHFFOgAthQb4/eQ6DjR0Z9HbmrNQSCkQpaEIDgGI/uPlxw+etOGR+wBAo/PeR1ZaxV1DSjZedQYvTWhIRhu7OyeawUIQ1dPAofDM3iibID80YJciYIL4HUs0oASKRYiRt6G0wyaHHLCSX31yyagDm8Z/Ub/+YaHOWIj8ZuJeG8Z+wa7Q0J77vFAu9qlHL7xlKLsfZY8VYIB6aipJYABmZaCBnBbB4g9nv7zPpLlHHoSNq6ixOXHUcetKrTVlVujQyflwVJQYZjF5kBImDWODNHqrnqigy7vZuZFC8iv7X2352rYpLuTCBPU+v8J9LpWef/gNqW3PJ+z/qB8jfiWbP1i6UMbW8979x/TJK96dF0vxPVYsXoxIjHhXPQuLhgOshFrTfu8joeIJS0/4ulnRBIAdIIdO6C64Au7zHqVwVSjfU9VzBiBbl/z5f3vnXQ07XUN70sp7/IL86Yd/iXibXi1wBY7Akf6YR05+9gZAgA3khXWPXSoM5LpWn3tJfVFF98O/de69fvlwa1O51TqodMPPb0U3SYZhNEuHwAGMQAuM+D0izE6+aP5/kML0ciq02ttCH6jPkujVuwpsIAfYgOn1fVCfa8b09K7IAl5mF/X24e9f9NgTftdWp7AqcO/p8k8QFwa8yRb3jv8suy/bK9vUJBsZChvc5T/8SdSy3DuvhSKTBTqRk1weXQLuc8sIYAMZb+IN0Ou88mv/tjghpiC1hUzsz5idb4e6QAbIADl4PQXhSqH9WuHIC3ICV2D81UUg0tN4iKU/3i7+3dKjKS4Z9tqPsPE8QLb+x7PREaNWHLp/Zt8JmRJrXVHpyu+fjlXroEQxZyirpLuwftD2lqDdE9175/cxqbz6fgIThCCF9+MNiuhjnvrbOvbNEOE+e5ee89DTpr8fXhW9R09nrR7tdAEHkge6gc3AemAzkAe2alzT3941yEi3sAHBmTO7adLI5ZPGUCwFB+hGDraDbogLKBHdYy70OYxAi6g+G5GeXmfeEIbCArxTbotdoKGCbkG3ICewBQ7DZSiGYv8EKUGW0cnIMTRveXX1mO39D/8DdoEskAWU11dBCEoxiQLysnnZ0lO/sdqy2BrQZQ1eM/Ek9VGSCEZLN2gz5xWoj778W06QXc9We1JfI5TAYTgMh6AIpsfe8sY+9mmPJvDHkmcLh+Obab2mhwI2Auv9fX3/QnpPUZ8rXBiG4bI3qlhyQBfQDnQK8gJiEQYxHEIHo7O/dSoUwEAx8gI303bDFcmi4jV33oWMK1q64LjQEAXkBDnx8p22uP1J4Aqy4o9VVH0cPZ6A5gG10/b0O1tDvUulj93Rx6DqsTMBAhHIe9jWvo7dTyX+LUT6aGgGyAk0Q9gfYgQRA+l0nv/bhkFVOatsbcW++o9vwkaeoBkuJCuUl3+9NdktDdItnHc9Mdcet4xDcAy0ARuACtZpT28WgAAv01AJtCAr6BI4gr6+cQLWA2v8jV6/QQoWlm9p+/fCFskbhR/4CiJe5wUCE1yDNoOVhLXS38ZfsSZ/WiJAcz5snbRvdNo0pGoZOsPkzwuBEZBvQnEf09tXUlO4JKjgEWGBK964+z1dQ/1dG4EEJDBb7c3FG0BNvctOYYy6249Td6THs6OBPHwz3Ejh/TKgkUd707rvnBK1itsuvBgb1xnRzATtwM0anc2z8p+j79P2ftlzG+5O9BiVW0QGer0QDCLkGRmG7QlK4V1pb9g50A50iYgwABE4AltAfdRZCo/czd77/4F3z+cEeYHL0ATqkVHTIyF9wwMFNWEBiRiwgTJQ/W47z5qhBQQmQUfn4nPOS1uW85f7AJc0SIG3zrHfOr621bcKPnMiOIIc4PjO9D3AH+q6LrN37csWHdl75fT/QEQDrkgesIlzInnpR8ljPQhAKIya7VklSPrUtnu58Z1Pvp7+5vlY1ArYgA3JQxO6XNhKC3kji8kwkZAR2Tqw3euH313oNUKpZxXUijxrirwoqyhjMoXUav2pF774M5969r0izFyY0dPPZAQAs+QEWZaciCPy/2EfkPG6bnpC5K1F7N1o/QIWkNGijXEBg+5nn102sGLFqV+lrnVwQDb0v/dWmCHeQEWBY7ycBuOtsl6yVL+3Q4nItm1jjPcBE7FRIoUVhjm/fl3ryy8/eM/d51591Wnnn3f6+eedcd45P7rxhjMee+zGUOi17u7l/u5MxGijXNcYRyQvyPc3iwOAOI6jXNEOyIUoSCEEovXatesannvxnut+eeFFl5z101NOu/GLJ11+5g/Ov/2b9//9gsbkW5n2Ts90Y4bSLrMmYiImI1qx9GbSSWELuBvdSwVx88LKLkB2Tjs5Y1ywhtGiHO19mEZ1r1kRffml3/zirh9eNP20iy784WXTz7jo3B///LqLn/rrn1rSka7O9d5zkgNSEBJAE/Vxj/YzGRXDtqszAsPEpP3P0XXWtbR+/OLLd91+5/cuuey7F1343enn/+CCn/zw1pvPeOWFP7Q0VWezazynsNY6nzdKiwiY2TNTdn8lFT8VRYvWnjNTli9tmjhuzeEHU10Itv855nNtK5amn37y9z+7/qzLLvrhBef9aPr5p190/pm33Tz9pX88snppYz67GRBjlNEghu2KNx+P/SI+t9Bt8rO9LD5zDfXU03EcpZTWmrX/fqL1H9195+lnnbX/tTeM+s0DZX99quKZVyufeW3A/75o3f8X665fllxy+bjp06c8+/Rt7ZuXAABBDOy8S2RY+l9uk8B2TZsyKtcNkwN7k7bZqan+x223fvlHZ0y57uah9z5mPfz34g+fm/zmc5NmvTjqvr9b1820zrh8wsXnH//sU39ua1sPgNnJ5je7bsa2c9poIulzkeymGsqAQAtyAgcQ0pLrAjk9rkwDJ1P3wbt33HDmmT86+OZb9v7Dn6qeeHb0Uy8Me/rFoU+/MGzmX6w77ir5yQVTrr7yqDde+3O+czPgqTG8MAKLco3ujw3/jNHCLARyAMCxcx+8M+uWn5107nn73HhL1e9nFv39+aFPv1D53Iujnpk1/sGHht5wU+U550664qoj3nzjgWz3cgCSB+U92xwAPA39P9zmuxqG5KGNaCgWBwxItmPFaaeEq4ZmX3kHgOOue+mfv7/2miPP/vHUm24Z+tCjFX99xnr6n9aTL1vPvDzy/pkDr7l2+IU/OeC6q4794L2HtVoGuMKcySnja2hhsJ64O6Hw/rPVUG9hdF03l8tpbbTWQH7Vijm/vvuiKy6b9Ktf7f3x3GMbYgfVx8fEWobGmsuiTcXxlqLUovJIuqohuu/zL+x7/bVjr7z08Fdfngnu9DIYhMVVtNuvtVtjJKOkzdZZ7VniQCo+946f/+CCcyv/8pf959ccGoofEEoNTiSLFyUHRVPl8dYBsWTRxwvLX4/vNevVA2fcPPaCa476YPbvjCxSerOr25kdQHiL3cpuqqEEsB+FdQBhAimwErAC2ppanrv7jtOuvmTYA7+fXLPghHBsWn28KpQaGGstTi4qjjUXRVOlifTwhvDUp5/Z+4pLR/zs6q/N+/B578Zg0lrnWJQSZUC7tXJsDxGQNqRcwMyb/dbPrvvu1ZdPfeShA6qrj4yn9ommBsYbrUSzFU1bsXR5Ij0uHNu3um7a35+ZcvmMETdcf8K82X/3EtmFRARE5Kkn0W69SyPPP8UaNshFHoDu3nTHNXMrK5wHfxOf8/y1N//XpdeVPTVrcH14fKxpTEOqNNRcHF1kpZaVNDQWR5qGJFsnVtdOfPrpcdddPezmG/4rEnoc6ACUo1RPrjFAELUnaKgxRilFxB0dGQDzqv946+0j77530Oy5Bza2HlYTGh6KV4ZjFZFYeSRcFmmoSIQro5HieMJqCBfHk+PTzcc8M+vg628c/fCfz7SdhQATw1X9r0OmZleJrdg1Jgc4c+Y9ef1PJz340KT68GHx9KSGSGU0MrC5rnRRuCKaKK9NliaSpa0NJfF0cV1zSUNiSDg58alXqy69sfjP/3u57a4FMra9SZv8NkbHbucPLcS5DMMWuIDf1oeMAdZ+NO8PV9ww6v4HBofD41tbJ4Si5ZG4FUtaicaiSNyKRIri0eJEpCIaKo/GSqPxEc0thz/5+OTrr9jrmb/fYNQKwNXaJbCB9EcN1Q6BQabtgw/+dMWMyX/5674NocNbWw6MhgeHa63mRFEiVJyIFkfDReFQUTxWFo2X10fKI8lR0eSBjz8x+crLh74w6yaRtb6/mX0NNWa31lCGOFCkDHJgRgaAdGXv/5/3qwbEvvmFBy+f/KfHx9U1Tog3D4ilrFDUiiaKYomKuobSUKQsniyNp4rDcSucsFJNQ0INUx95eJ+fXjfi9ddvB7qIiFEoE5VCGu1nzGehoVvGOIjJkOvagHnvvVevvmafF18ZkWzaJ9E4tiY0IJYqaYhZoagVCVuJiJWKFiUaiuP1ZdG60mSsNJkqr4uWRJvHzAtNvfPXw+765Tc7OlcK4Kp/Z2nZvW4oAhwNzQbofuvdP1w4Y/gr746PNI2JNpbGUkXJVGkqXLKyuri1tuijtDWv0Qo1FDfWDW6ZX7mwtmJxtHRFXdmK9LiPGo68/vZDf3HPhdnsMkEXUd43PXrTvnY7v2AhLE8CpycYyERA/pXX7730uokvvHNEY+u0cENFLFIWi5TEIkWJWFE0XJSIWOmYlY4VpaLF6XhRImGFo1YkXpFuGjl77r533L7XY38938kvBvxJvZ8eitp9EYZRuSefuGrG1WPemb1vKD0snLLiaSsZt5pCxQsbhjcvGNnSMKQpXJEKDUhGShJxK5qwGmJF4figZOOBc+accPMNE/738WuYO70nLMRvd6NFdFvEW1Ndgg1idIKBbue5R96eNODj71e1vHpEsnFcXbokHC6JN5RH68tioQHJSHkiXJaKDoyHB4RryyJ1A6INpenkwHSqMpWe+u67h1991ejnZt3aW2rfNyv5M+Y/qqGe8HvzUAqhUiFhJUB3Q+j+iy4b+fb7R6UTU5KhcfFQVWO0Mj6/Ip0cGE5ZyZgVS1iRlJWMWrH6skRiaDRZFg9bqYgVi5eF0pXh1NSHHhj/u//5hpPf6AIOCRMxCwRk2OitFt6dLSWexe35Lra7kxKQYzOAubOfnHF1+cfzhycb90okhkbCViRkpWJFyVBZuq4kEbUWNFqhlJWKFqfrKlurxy1tGN/cULq4zmpcUJGIHhSLn3TvvaMfuP+7ylkmbIxhYiFo9go2pJAatIvoyb4gImOMv6NiZs4pymjJMrogOUB//PbMa68bMafhoNrk5NrqqqbImHh4SH1DSTRRGouVxyNFqaiVjFrRcEkoUhqOlcQigxuTZfGYFY9bzU2V8djke+4Z+OSf7wB5SSxidrsEH/GuT2NyRFnfAIcIXAF7CdEA/vn8H26+bvCc2onJxZWxlBVPFjUkiqrDVkuktLG2vDk8MN0wMLKgOB0tTkYqIvWV8cjQcKQsFCsLx4aGwlNiiWk3/7z82afvBbyoIyndxZIRuNJT0OA7VHbZ6fGUvee/RMwEMVC2q5kdCLDpnb+eM2tG6ap3D14TmxaqLm1sshKpknC4KJUcEG2ojNUPakwMiEWtZMJKRSuS4WGJWFldvRWND6ptKEql9orVH3LTDdaLL9wM+EXQImDNOyH2/B/VUAaIIV1A3ruTyTC5DGDpkveu+2nVK2+MTzSOi8cGpxuGJWoHp+srlywYE48MrUlaqagVSVoL0lY8asUiRZFUeX2ypDFitYaseKgk1jwo0jgoVjviDzdaT/35Ki9Fm5mMIa2IjJDZqoBpp25pjTE9Aupp6LaxUdftBqQ5kbjikolvvlOebC6Jh4uTtZXNkaGJcEkiYiUT5fXJAQuSJaFYSSJqNYatpobSVO2IVGhkuKEknbYaY0Wp+hHp2MBkdPxtPxv6j6dvBTznuWjkyRs0S7zLm9d66uklY/g3r2HhvGtsLUokCzGhOS/eNGPyxx9NiDZVRBvLm+LDEvUDGxpKEi0DQ6mSBfXl4VBpPGwlIkXRWEkoWVafrGhoqIqHKxrTxYmYFW2w0oniaHT0LddOePnvjwNgkOHdSkMFIGEhI0QZ4jYmYoIIEboNKy93p7b2jSun7x+df3hDsjycLmqMFSciJfOjVnVjcWN0QKrBSiasRLgsGbHicSvSUBquqYrWjwlFSiLJogXh4mTzoOqwVRPd+8qrxr/75hMA2BBzlqWDkGWwr6F+Mf4uOz3eJeHdFyLCLMaFcog4YzsdgPP627+57mflH9eOSzSOqJlf1hovSUatUKPV0Gg1xKxQaEhjYniowYrGrYaQlYoPiYeH1jWURdODasIViUYrlbQWpcsWzBt47VUD5sx+A0CWjGtIzM5opvuftkOZgW7A7rGG2Iibz/zq7tPvvW9w6+IvVIdKI2krEbXSqZJ0uqS5tiwWL65ptFIxK5KwapPF8XBZKlYcilv1cas5bi2MWvG4NT9VWtNSlExb8dmDr54+4oPqagBMRkS0NgA+JU1yJ100XjCUmT0L1BgverbVuREnt+HWm7418y+Doi0lkbSVTFqJhoGticnxeEVDzIqkrJqkVZssDceKEzErHbPSESsdKY5HiqNpK5y2oomSxsSQWMhqTO31wXtHXHrR3o2pd+G3+lHs1b3xLtZQ7z5xXdc7A+K1NzAAQWkYAhhut7lu+tdefGa/WGpwqMkKxQenklZzsxVKWnXJovlhK944KJUsT9QPSoYGxuJWKGnVJUrD8bJUc1my2Uomy9KJykRsUFPLyHfeH3HeBZUrltexsKLdql5emA0EWrGhnOF2YxQEIobRzWIAtHctPe+Sqa++dHBzw/71seJocnBjaGQkVBxfWl7dOCgVGRitKY6ESxKhwY2JsmjUSjdaiXhJQ6g0nLRSi61Is1WftOoTA2ItU557bdpFlxy4YV0aABgETbDZy733/Ty70g7VWhtjANi27QcVDbRxWdoE+fXrQ5dcNuEfr08MN42PpYdGYmUtLSXNi6xYS3EoXRJvHBCODIrHSpJxKx4rbkoMjdZVxcJV6eS4cHRkKDk4lhyejA9JxItSjZXPzJo8/dLD17fHGK4xUDnT3+xQf+OQBxy/xEgEkIYFr1x52bjqBV+IRMfWxovrGq1ItCiarphTX9wYKYqlrZpGKxG3onGrIVYWbxiSigyIxYpSjUWxkBWrt6Kp8vdj495PDIs3WgvjxY/PrPjpzWe5bk68/FpARLaZw0Y7s5t7j4b+67SSOe++Mn360PrE5MTCQenmyvqa0aF5R8x797+i0cnxheULYkW1ieL6RFE4bsUSVjJhpWJWMmJFo9aCiNXQbMUXjlpQN6m+bkhjalQ0tv8fH9z7tju+B+T97bJXqCO0a92hWmvPRVs4DwJxxThgaAOlAeC1fzz2s2smhMOTU81lycYxtQuOqZu3X838kcnGifXJwbUpqyFlxcLlqbrRqfphiVhRJGGFEqWp1uF14apw6OC5HxxRN+dLodr962KlqRXDfvXHIff+4lIALJ27Uwt/YTauq8AgyQuy8OusSCTj5aP97albbr1vUH3DsHT9wGR6RHXNoOiCYYtb9n63euj7DWPT8WHp6MBIpDIZHRkNDQ6FrVjKqo9ZkVRxPDlm3ryp1fMOq64+oj48rSY2vqZl3M13l//10csBiN+CgwReuuRusa4QkVKKmY0x2hj2VN4oCJ548IGbrx+faDwimti7pnpqQ+0h82YfNPej42rmnlI977hwaGpDw+BE2oolrER4UKx2fLiuKhwvTaTLY4mx86oP+fi9r8x958Rk+NBEclok/eUrbtrriedvBLpFNCkF6pcxJVugCsl6hqnjF3ec+tAfpzSmD1lQXRFvrFoQG92UGnvTneX//WOroXZQNF1Sk7bicSsRsyLR0nhoSDo0KFlf0pQoizcUtTYOSyT3++9zh/7oqrJQbODypqK6ucMumF41e97LAESMCCtlPsUO3Un0aGjPd7a1Q43LV1707b89NT7evH9Dw4G3/nTEfuOK9xpSOnZI2fnnlL8ze3xNanRNojgUt8JxK5qwEkkrGbMidUXNTcMbosNTS8fe9+DQ404s+/jDyfW1ZenWka+/P+6iGcNjsQ/gV1hrIAvoXR6Tdxyn1yMsLJQBd6PgAXTs9osv+uILL41NNVXGQnv/8tbJ44eWjRlUcthU6+7b9qmJHBxZVBJpKYqEB6fqR6Try1MRKxYpikSGNzQcfM01E/aqqhg7pHh0RcmNV+5TXT8mumjYy++MvfSiwxe3NOxm4yNEvB7ZgMBVuotIiEREi+QAbNq87PJrDn/ypeKmFqs1UhyJDE+kq1qSIx770+iDDy+a+eyk+tDgpqaBdaGBdfUDY5HKeHzwgrqieLoyFp94582T9x5etldl2fgRgy44Z8Ls+YfULRry0odV0y/br33TamiI8RyvPZX3u1hGPSMUhWIqTa4rnVo6AKxZuOHyM055+5Ujk6mRzekDLjxr9NgRFaOGlYwZNmj0oMqxVYMe+/OEVHKvaKI8HLWiDQMTob0TsSGJluKG0KA/PTBxyt4VowaXjRxQdurJVR+89+XaxJdf+ODwsy45oLO7FWgD1E6YE/4f1lABGC5BF4whXr82fvrpU+bPPSoeGR0Ll4TCU5LJ0//2wNSx460Djy8L1R8QS1UuSBbFY1YqbCUiVjxclopUxBcUN4UGtcbGNoYPu+WnI8oqrVMuGBWOHNoSKlnePPyeXw66/8FLjXFZFLPaXpHbzi4b99ZY27ZramoWLly47QOS4YarLp32zpyhycbDZ5y7zzDL+sHJo6+99KAzvjdpxEDrO98b9G7d6PpUSTRuRWJWJGFFE1Y8WhStGxGpmbJo4dHPvrDPfgeXjN27+K3X9l/YMqguaiWXjrvu1oq//PVOeO5zGK8d1C6XESLKZDLV1dVLly4FACggR2yTCID5c1657KoB80MlTa0Vt1w5bPzAorNOHXPF9P2+/7XJRZY146rhdU0j6hpLIpGyxsiAxoiVjljJSHm8/pAffnfowFLrO9/Y68pLjjnt69MGWtbZPx5SHZlS17TvjbdOeuThXwG7XCv6IszU3tbx8QfVGzesBaCNMDNRzpgsgPfee+XCGaNr06OiUWtpvDQcLUk2lS/4cMSXDykqLbZ+++iUpkUj4ukBoVR5JG6FIsXR+KBwtCoZPWbG+aMHWtY3jh9/7Ywjzv7xyMoS66snlMyJDpqfHnXNTQOfn/UAGKzR00dvJzWA+5d0dXV99NFH7e3t3pfKuDZ1EzYDXe+99PxVFwxb2DImlbLC1VNOPHzo/vuW/uSiaWdfuM/5F4ydPn3om29NSMQmhaMV8URRIl4caShLp8vSzeW3XV9SaVnHHzvoissOPueH+08YWfrFowe/8dHx8xoP+skVo2bPfxzoEtE7IUPhP6+hfiuzQpD0pefv++kNA8LRqcnokGTEaqg7eMb0A/etKiouKf7CyeVz5x8ajlbVJgfEYlZT2GoKWdGolUwUN0WLW+oHz3tj2nnfHj6hsqhkcOlXLx4VCh/ZVD+kNVL6xj8rLr502qa2dYBhUSLk7aELh4iwCMvOAoBSCkB1dfXkyZOnTp06c+bMfD7vnRNmAfDwzJvuuHNwrGX0U09VjSi1zvvuqFjNV5YvOyHV+MWLL5hQPtD6+W+HphcPjUeKotHScLwoErfikbJ0aEqi5qC7fj5h4hTLKimZvN+wN149sqWxItFi1TcPeOqlsddcd1z75k2A14wiL1B9TsLOBgWLY/78+SNGjNh336lPPvmkbecBsBCxQHD/r++++74BS1ZXvPWWdeKh1pXnVTY3TWlZMjGRPOk73xo3dnzR27P3b2gsSTZasXqrMWyl49bi5sGPPjh6cKk1ffromvBhy1aeGov+6JzTRw4tK75/5vDGtaMeeLzq57ecame6gV3zxrfF++g/ePfdQQMHH3roIbOen2W7GgAjx2Szpgfu/9ntvxzTuHxcrH5A0/yhySYrkqiaceawYVbRsCrr13+bmGoZW11v1SatWKqoIWzVhYobm8Y/+di4UQOt074+Llz3rUUrDo23TLnuquFDB1h33FORXLrPHx4efcP1Pwa8Zj2aRVi8zgK0i64I/zzMmjWroqLiqKOOeuWVV7wtGgGEHOkN/4+9t4yzq7zah+9j4+4ucSLIQ9C2FErTQoESaEOBYkmICwkkQIAWaHAaJFgggQAhgoYQIy4zc3TrsXGJER87suWW9X7YZyYToM/v6fsnmVTWb3+YOWdk7/vc+9pLrnWthfPueXdRacCX4JdNX3ycMrzcvOCplKbOC+tODqs/ODTYnMd5E6vs8bxk5kSTICCOt8re9C8/SxmWj351cdKe6oHBlvMCjT9//K9lcVY0e35OdV3BS0vS5z1yKwCcHY7KT4+hDDQKuNeDfnT+n557ycTLmRIfV+tFk++3FGWj5+cMuGnswMqrLNv3DpF9GTWCleNR0IlqncgjoBoP8glWf5Xl5l9aLypNXPTYBcOvyv2fuxNc/OCAM8vvsAqulLFjC1pam3r+57linZ2ds2fPTkxMRAhdffXVa9eu7XlHe3TBH99emlbbVPbWa5l/Hpu9ekWu11tR7bbxDTkrVl2WmmG9d3aq7C+Q3XGcJ9ElWFwi4jlbk5z/zMPJRVnovkkFd00/P39Q3Nq1owJeG+9HdtmytWrQuNty9+9r6Pkv58pSHDt2bMKECRaLGSF0GhteIwAAIABJREFU9S9/u2nDDuP1UFd43uw73nmnxF+bwrvNNVtHunZfyMtJLm9CsHn0jFkjktPQ5xsqPbU2j4RElynIW7088onW11+2jL0p8bOv88Tm7CopsUYsWbasIt2G5j+ayu/L+OLbzPH35LU1/Yj737+2r7X1zjvvQgghhG66eVyVfZeh/9BxtH36lCuXryp2immSI6HRXhQIZi18OqEy1Tzl9guLBqK/LSn2N5R6BHM1b3J4zJxgdvNI8sV/8H7cLTfFr1k5yCWW7pUQV5e0Zs3QsgLb+AnZvsaRy9eUTJ96RTR0DADgXFLDa2ho+MMf/mCsw6233rpr1y7j9VBHy11jR21eOyIYiGsI2l5fmDii2PbG66P//k7JwtdzPl41RPINq+HjxaCl2oM8MvLwZrcnSRSzVn+S8ftr45e/U+arS3IEkDOY/eWmgQMHWq6/Oc7ZkPnBF1mTJo0hkbPkff/U+VAGABoD3NvEPXH8ne9+mCwF40QuLiiZ3n7bsmJ57gH+8jv+XFH6S/O3VVmCgJwi8giozoEa7MglIIecLAhJvirz2y+nbPt8qL/qouHXxl84McHFF3trMgMeW603afyEvE8/W9HSVt+2r761taGhoa6lpbWtbX9b2/62tra2tta2tpa2s2Wtra2tra2NjY0HDhw4ePDgkiVLRo4ciRAym8233XYbx/EA2iOPXLfsg1RRKpO44fX+82R/ot2NhForVx//3EvZmVmmx5/L9cmVXmcC505z8DanhHge+RyJ61ekLnvL5G8eMe0vgzIGo6/Xl9f7LR4Jubxmt3z+jTeVbNvy1aGDh1rbDjTta2na39y8r7X1rF35D6y5ubm1tbW5ubm2tvatt94cPnw4QiYTSrhv4j3eWndXqOGhuZd/8vFAn5QnOs0+d5HoHOhyFYvixR9+cOnAgam33pa+0z2oSjZzskn2JInVqZLT7JctopQg1+Y75bQqGe2Skdyc/beFOYWZ6IWX0zxN2Ttdg+++I3fD52sPHfyu/y79e9ba1tJ0cP/+utq65194ubx8EEIoLT152ozxjfV1HUc77/3zgK83FfHeAsmZ2OTO+3LVkMHF6NHJw1d+cGNGOXrqnSK5NpcTEjxiEsfHcTyqdiEnb5L9ibI/jZMzqwVzjYQ4b/HiV8pLctDCpwvd3gFrt5ZMmzJkx7efHTrYvG+/0NrW2tryXeu+lta21tbYfdE/duTIkfr6+kcffbSwsBAhlJGZMW3W5P37GtTwvj/eOGLnjkrei2q9aU9Mzy+02K4YWm5BCCGUkxr/2MOVu/cMkWoTuAByisjNWTk+eXeVWQ6kc1Kq5E2XRKuDRy5fwYefnF+Qb506M95Tn7N2Y8WUiZcf33cUzkoW40zU5TVgPZQCBhPv/cPSlVah1uy0WyW3qaE+sSGY3rA34/e3J2VdZdrpSQsEkItHHh411KCmauQQTLvFLBeX3iRZmmoTAnyivDPh/N+YLxyfLIgVPmeSzKE6f/L4CUnpmWmFxbn5BbnFJYUlZUX5eXn5+YX5+YX5Z90KCgqKiory8/MLCwsrKiqGDRuWmZlptVqtVitCKCsrZ9Lk8TOnXvb15yN5IVOQ4l32JM6RIYo2X0PC1p1Z5w1GI0ekrds+TBQyvE6bx5NiF60OCQk88teY2wTb/jqb25c98bGs9CHom82FAdkkSMgjJUr+S2+5tSIrK6uooDg/vyS/oDi/sCC/MD+/4OyvQczy8vJKSkoKCgoqKyvPO++8rKzs+Pgki82MECodkDVx6i8mTcnYsL4s6M0K8omOHfH18tCVy/OuvCgtyRZ/8fDydeuv89QOr/FanQKSPElyTY7fVea0J1d7kJ2zucX4at4SOGDduDVjYKn555embd87zFGbuIPLuPtPBTnpA4sKKvrtyn9gBbm55UVFpcUlgwefl5pWaLFmGI7YgJLiGfdMu/eO4m178x1CWlDKra8Z8tsrUy4538LZf758+WXp5eil5QM4KVPg491cgtNhFkXkDSBOQE5HPMenuwTkkpFcl7hn9/Bf/E/mhRUZG9df6PKn7XIX3XhdXkFmdmlxQX5Rbn5hYX5BSX5Rfn5BcX5+aT9ui8LCwpKSkmHDhqWlpZnNZmMdBg8sfWz+xDvHDa2xj3ILKX5h1G2/zrYgNOlPOWs+uXzNZ+fNnVOUmYReeX6Uhy9xCkjwWdzuOIcHCQHE+cx2weR2Jfiry4LCgOq9F/36muL8fNOatYVCXe6mzSOmjh/WUhsAAHLmg7OfnGMPABowEquKE5h079ilq5HcbHW7kgSnReQtAd580Jn8h9sS835p2u7K8MomN2f1eOIaqqxN1aYaEe2uy9rtSajlkcihWt7asCttxC/MF96TKsllsoA4HvmFnHvuTsvJzSivKC6vLCktKy4tLS4pLi4pKS0pKSvpDxswYEBBQUFFRUV5efmQIUMqKysNAEUIJSYm33H7bffeMfKzTy6QffmcF8lek2gvCPAVuzaXj7k8ubwILfuo2FVbIvAm2Y08nNUumhwSEjnU4LT5t1vqXGZOzpvxZEnaILRuc16t1yzwFrcnV5R+9qfbSgsKEstL84uLK4tLBhWVlRWVFRWXFvfLIhQXF5eVlRmrMWDAgPPPP7+ysgIhZEpACKGUlPw/3HLDtKmFGzdmi1x8g5ws2xMCcuqna8x/Hme74deZw8qTfn9T9sbtI+zedJeEBMEk2BNFZxEvZHi8iJPieT5elrO2bM4ePQKV51pWrR5i9xY4G8z2+rhxtyYX5gytKB3cLxf+Y1Y8sKK8vLhwUGXlkKEjikqGI3MaMiGEUE5a+uTbp4y7KW+PO8MZNMnusmemFI6oQKs+LaxvKXnvg8qMMvTsO4NluSjgjXd5zIIHSRziOQvnSuScqYKQxElI8MbXVOVd+/PEsvzE1UvH8OIQRxBtc6TeOCavNGdgZengkors4vLc4rL8oorcotLK4uKh/XVrlJSUlJWVlZeXX3TRRXl5eXFxcQaKluWXzJww/uYbK+3caLcvrcae99SC1PG3J/OukXIgx9eU7uBLL7/I8ouLEhyOQS7R4vBYamrSeNnqkFCVG/FBq8tha3OWi1uH33ljZkYyWvRGhjOQzAVSNqyvnHn/efua6wBAP/PNBWfCD1WB4d4uofvvu3PpSos7aOK4JNEVL3nMdR7z/t3pY29Jyrsqbqe70CeaeE8cx8U3VltaalC1jLbUm3b5UFBEXndCrSOjblvRiCvj/+euZNlbIAtI5EwB55AJd5V++tn7zS2+xma5tsFbV++vq69tqG9oqG9sqD/b1tDQUFdX5/f7m5ubGxoaVq5cOWzYMANAr7vuut179qpK+KnHxn64ZEBtoKLGgwQvqvUO+frjkZdWJpyXk7r6kwJX0OIKxou82edBHG+xS2a7iHgPqquJP+DM9O9O8kpDJ88ryxmG1m3KbqqN8zgtDnu+JF11yy2Fmza91tzkq69rCtY3BxrrA43+uobas74GMWtsbAwGg83NzS0tLW+//XZ5eRlCCFnQjX/4ncvpO9bW/dCsK1ettkhes49LDohZkmyRGlCwObFt/3lvLC7PSUP3T8hyySV8wMTLSOKRvRq5uQS7x+L0xHulvBXv5l5YaruoIuuzTy7m/CW7BbTXh7YJ6N7xaNPnK5ubmuvrz/7n/yPWUF/f3NDQWB9sbGh4860lRaXDEEJmq3n8+DsFj6f9yIl7/5y/YZfFt9+87LWUyjjbEw+d55RHuOSyd967OL0APf3KJSJ3MedMcHuQ5E6QXAmCyypxKZKQ7PKYvL60b77Ku3SkaXh52ifLhnq4co8/gW9BX262TJ1w0da1u5obW+ubdtc1Vdc2emqbuNr6xrq6lv5amYaGhtbW1oaGhpdeeqmgoAAhZLOZp02+K+ANRE+E/zB25A57ZZXPVC2hpn3JDU1ZbtHq9iKnjNy+7NtvyajIsGz5tpD3mT1CPO8uq65JEPzIJSKXYG0M5FV/nf27S1BFNnptUaHDn+GsRW6fee3X2TOnjO48ehAA9DPPcTwTGBoG6AYW61Sd9+DtL79u9vjieB553TbRZarjTK27M2/+fUre5XFbnSU+D/K7kVNAjU50wIH2etE3tWhXPfLySKxKCjoyuN224VebLrk7WfLmy3tRvcNSVzP07rED2xqNGkJ/c3n6WDQafeqpp4yNcv7557/11luhUAgAgGlPz//z288XNdaW2T1I8Ocue29YWY51WHnSF58Olnw5nM/EiyjAoVpXvMuZXSMmVXvNDg55ayxN1Vn+PbmyMGzyw/lZQ9HXG/LrfQlul8nDZ1U5LrjlD5ltbc7Tz6L/FyQSiTz88MMpKSkIoSuuuOqjFR9FlZMAoHQo8+fe+PaHNqExZU9N0YqPh+2qKnTWIpdgEvlswTXqimHJlw6P84h5gi/Z6THLXgvvMYnOeM6ZKteXLXq1ID8ZXTGsZNMXlwT85Q5XvEdM9cg5G3amTJ9p2d+2ub+v+/sWDkXmzJmdkpKKELr88l+uW7eJEh0Ajp+Qpz844KOvKmWpdPptyIRQUVJybpYtNdOckmqzxKGEhLibb8qwO4ZwXJ7sKJIc6ZJg4gTk5uJ93iHL3ysbUIDOK81Yu3q011vsEJDdi/j6hI8+TZ/zwOXd7QaFSDt3pksdO3Zs4sSJNpsNIXTNNb/aum0TpccBSNfJw+NuHbxhe44jgGp466ef5X67pczpT9vGm6vkJCFQcu+47NJU89YtRZxkc3MWzpkruJMEEXl41FKbt25l5fmDTEU51neXZsn1OXYvcvkQ77N9tDJj8uTLGT30g9abM2JnIpaPAHQyIAaGfrLiyUefSHIK+aJk4h2Ic6IG2dTmtI291ZZ/uXmTM6nBi3xOW7WQ2OCOb3PY9gbRNr/J4THXO1Hd3rhmV6qw1zT8l2j0nak1YonEWwQh7utNeePuHdhy5CAD0EiUAFaZpgBWoEec+exKjlBKDcaG3W5PSEhISUl5/PHHDx06ZLxrEDwWP/fg848Uu135DftLF7+dW1qELr3MvGnnIKEpQ2wwBZtsbg/yC0h2JgjC0N18dk2d2elHosdSa0/w2+Mlb9a0BenZg9CGTSVe3ubhTf76gmUfF8yePbSjoxkg9szCgAkorP9E/hVFwRhv3boVIVRSUvLsM88dO2pICoWwgoHBKy8++tfnknz7St5cml5ShB6elyIESkRvaqA2w+OsHF5ou+maTG/tgBoxziHZpIDVIyG/bJY9RS/+vSg9C/1mTMaeqov9jfluP/I2IKeYKAVGLHq97LEF16hq07nDTDBsw/otCKHy8pJFi17s7OzqeZlh2rLw1bGPPTe0Vrpi2Usp94/LuP3WpNvuyLjtntKrfl2Slomu+HnGEwvz97gKOClHcKfX+ROdbnONy+oLDl367pAhlaZf/Cx98+YLeH8BHzSJ9cgdRG5v7hvvVkyfcYOOoxQAg4ohTAD3imD3o3344YcIoeHDh7/77rvhcBgAGIsQGiGa8tSjf3xlUVrDvsJt2/OGV6Lf/ybOJQ901Fvs9fFVXP41V9qu/Zl5tz2Dq0O83yx7M3g+3uVCrY1pX7yfc/Eg0/CRyau+Gh5oK/PUJsq1GQ4hye3NWrwk8fEnrgGIYAxnQUn1zNSUIMog5oceOuAed1ux3TnM40nwuEw8jyTO1MxZxt5mLrvatJlL8EtWwZFSLeZ57QXOjcmbPanVQoF3T2pTFWqsRm3uOHFHwogrzZfdluHwDnb5LVWNGbNet857654ORgCAKSpohFGiAusA6DAevqRnYOpZMUqppmkY4/b29h07dnAcZ7zeK7IAAO69W+ZMGrJ1b+7X3+YOHmgZMaD4m42/2+ks2bizYMuuis3bSvba89weJAqJO3efv25X2Z5gYnUASZLF6zCLTuTxxU9/LC1vEFq/sdTvswg+JPgLH308863X5wBQYMCAGgMyCfSniLmqqpqmHTt2bP369XV1tcaLDChhxxnRAGDrN2unz8je4xhe7Rj5s0sShxSbv1hxyZ6do7bvyr3rbpSThpa8PcLlLa/2o52ehM07k+28RfQmrPsypyALjRqRu3nHNbudlTvs+Vv2pq7fhXa4U92BS+bOr3xl0YL+u+h/YAxOHO/csOEbf5DrfYVio4ct/MlXT987rVhwj5bdWc0tef6WJLktLbhv2AefjC4qQ0uWD2g8XFotW6o4VONM2F1ldfDJvDho3ddXDKkwDy7LWLv2Z1XOYduq8rfuLt6xu2xHddJe58CHH8tdtuwxANCpMfZBo0Y2kPUzhh47duyrr75qa2szvsWY6AoYM4E2rFk1dXxBsPZyj2vApDtTc63otZcGVrkGb7OnP/JEaloaevnVQkcwyVmPdrqs324t2FOdEKhP3flt+a8vsJQkp3604rc14s837hz49YZhO3ZeuX3XiCpu1LQ5qV99/RIARCjVzvzdcCYwlBojXQ0II+T4AzMve+ftStlbKfviBa9JFCz7pKIbbkjIOA9966gIyln2qlR3XfmyN9KH5qFJ83P44CW8I1fyIMmDgp44eWf6sPPNV1yXIMtlHB9nDw64eWbW51s/AQAIEwgBdBBjil8UoAtAAQDK4CxKoRkdSn0l7wzZEV3XDaUvXdcZgbvvuubLHfn3TE5ACCUic15CcioyZdvMqchkQ6YZs3OC9bl7q1IvuRxd+DPzJmequ87kdNoke2q9L4vzpk+ck5yQhdZvLpP9Vgdv22sfNHVyrn33VwAGikYInCCg9q96qNEW3UuuxhhjnWFCANoBdCAQOt5x/z2jV60Z6gte+OWaIVf/T1YGQtlmU7IZDRxg+cvCrCquzBnI3OaxXncTGliCNm86r65+8M03WBFCKSZzVlJ8qtmcglCmBaUkoAV/K9jquvLPk3Psnk3n2iyQPlGkGooci0S6jYcJpYwxZd8h5/ipwz/9MlP02XjJ7JGRgzOJUsWSN4Zmp6LnX8iWanNcfuQJxI2/z1RRjlZ9WlDf+KvJ44cihOKQOT85LstmTkOmwvj4VJN5yvTk3TU/v+OO8gP7dwMwYyQGBkZBi0247NfFYX2ATNd1rOuEgKYQAGj0ylPuHbxxc6m3zvLtpqRbfpWZZ0JZFnN2PCrMtc2cU14tDLcHs6uEvLkPxRVlm5e9n1vXUvrYQ4UIoSQUn5+akJlqSY43ZyXZElDcuD8Wb9lxx9hxFx06cogw6CDHNWg/03PpzgA/tM9DjxIMoO/Z+cHk8bkcf0WNxyr6Lc4aa70r9+W/V85eOHQvXyxw8W5XvMOf/c1XaY/PSXr9o+waX6ldSKz2oyrJwnuS5KqUZxaWvPRKkc8d3yBkv/du0bR5v+gKHQVCWQSDaoicABjjEJihJ0kpO3v3lOFs6rpuwIch86UoigGjmqbpOgYK69d/OGGm7YXXh85+YODsyaWz7s98YEr2rMlFU++rmDp1wOLlGaI/s6Ym569/y3j8uZRt7uQaycR54oSaBB+f7HQnvrsia84TRZv3ZAr+ODFQ9MZbeY/NH6OrEaAAlDHopnCcgsr61elgjIVCIUPCilKqa7qiUF2nDLp1HCJRChRWffzsIw/nuIXKuroBuzad9/DkyhkTBs6cOuiTNUPFxrI9YpIjkLlLtLzwatz8ucU7d5W6+awXXsiZOrVi2tScmTNSp0/Knzt1+OR7y6ZMS122uvzZ1wsf+9sfATCm/eqB/8AYNca4sqh6QtPbdT3MGFOiGACiSjcAW/z2Q/P/gtxympNL4EUrz1kld87WtQOfnl/wzedlopTD+W3VvHnxGykPPZS6s7rcwRe+tChp6vSEmTOSpk5OemBG1tTxmbMn5EyfUPbu0kuff2HIKy/fy2inokQJoSR2L0QZdAEj/ZskN+4FY6QFpRRjggmjVMOaAhTefO7xv/2liPNmeYOZMjf6idkl86ZVzpqcs2TpAH/LZXvENEcgrUpIf/eDtJkz09dvSRdqk99dkjt7asWs+ytmTcmZNSPngTnZMx9InDI9/dU3Rs1/dMTSpQsJgbAGCpxU4Oi/JobGzhkzqgAjWDv59ON/fPGlCiFQYXebRac16LSJ0hBH3UUOyeqVkCygGsEk8rbmYJy7zmoXkZNHe/xoD2fjPQk+l9krFfNycdAb79ySN+u+HKdjKwBQqmGmKwwrlBDKmCGwQAAYpUB0wGdt2xgAaohmAgAhxEAQwxtlMVVmGurunD/vxqUfDth3eFR9Y35jS0pdU1LTvoxAY4HcmMc1WZyCtaYmsaElT6hLcnqtLsEkekx8NZJdyOMxefzJfHOGK2ir4lL22C++666i+sBGAGCxcM2YVK72r8thLIKRHVYUxchkEEoZqIRGGGWAmRppmj61ZNlymy+Y7vHY6v1lwfpB9a0VQiDT6bW65IQ9rkSnzyT60xrqR7n4eCdvCgbzamsHemszGg4mBJtT61sKAk0FdQfTtjsq77yrtKnOB0ApnFO6TcAYaCphjABEdNxBSAiMiUcUCKEA0NnVNGnq8FVfFHq8eU7e5JXMksPWwOe3+soCfK7TZXMKZqdo9gbSfYFkJ5do55C/0VS3P662La5+X1xtc1Jja2qgLqul9aINm66ecO+Qg60eAIZ1LRrVKQHCgILC4CQw3L8YyvqIQ/Z8zQiLENIJAEda2ibfdcHadQPdUppHiK+vLWxuKGhsThaCqbvcVpc3rpqPc3qR3Gir25/o9iLeb/YISY1NRQ2N+cG63IamXF9jinefpelY5uqv86dNPe/Yd80AoFElQo5rrOtfittk5K5PSRyowCKACTAI+PdMmpz/+Tdlgi9fciO/A3HueLc3hReRV0B+CfESEt3I60acjMQaVO9Gos/CeayywxTgkSCZq4Q4jz9v0VPJH744HgCAaRp0KNClQDQEigaEAO1Jnxta0P0/XadPCMMYdAOEfNLWaZPzv/22zONK8kkmgUeSjLxBVMOjKg5xnEl0I4FHHg5xHovgsclOc8BlC3hMXgG5ReTwohrZtMc58MknC997ZxaARglhlPakvBgzYrf+qymxHjXCPpdPe/SwSU+lT5M8qybfn7OnqlT02gQJufl4p8fCScgjIpcHcZxF5OJEZ4FoH8S7E3geSVy85M6W+STJizgZOQXEec0uz8AF84pWv/8GEKDkMEAQINxfF/4jdiq1pQJEAdQYxPeJ1bZtXvPAg2W7PYVOr0mUkeBEssMm2eO9PBIkVMMhl4g4DvEcEjxm0WMTuTiJj5cEG+dBHreF51JELtdRc8HcuQM2fP0mAGUEU0MrggCjwAwMhX7G0B8xBoRGGBzCpBXgyNefPzbvoYQqV7FHNsl+s8OBRMHK8Ukcl8bzyW632cMht4DcMuIEJHjiec4kSsgrI8mV6qlJdDpNQjBpt71g6mTr5q/fAQIMa4QeJ6QDY+VMX8pPi6Hk1KRvCgAKgEJ1wjQAgKqqdyZMydi0PV8W4/y8RXQnuZxxftEUFJBfRJKAvG6L154m2rNbPMn+arNdMgui2edBPhk5PUioG/TSKxlLHvklHKmH9jA78h073sYO72PHj0FHB+sOAdEpUGOkNANq7KBzyCimugKg79784fyZBbt3lEpCqixYZQk53cjNWUQpWRbMXg+SnUmyI8trz5btmXJNpmxP9HqQ6DZ5JbPXmyoGhjzzYt7jC36jK+1qRFGVTsYiDAijvQW9znOpV5oBKABRiAnCUABjkC/5+rNXF8wr2LOnTJBTnC6b15/o8iCOQ14JeQXkdZu97gSfJ1HmLKLLLNgtkjte9qR6ahLdrnjJl8zz5QsfK35l4QwtpIEOTFOY3n1qRvA5ZKxHiVE/9WzrqZVjjb6/7Im5C1A1V8ZL2W57vOBIEB0m3o04Drk4q5uziq4kyWmVOZNPMPs88WJNsrsqXhbiOY9F4FNdNWV/fSzl3SUTAcJAgRHAmBqbgTFgoDHoZmdBAO6fNEaA6gwgouiNmOzD+omlS+YseCzNwRfx3nhBRpzLKjiSBHe8JFhl0SQ443hHqleyyp442Z3ok8yiB3mqTQEuISAl8Fyq0z7k4blZa5Y/BYzSsMb0CNM7mKr/q2kwfx9DMYCmKQpWCdYJQOSrdU/Nfijh62+S/b5S3pUpccmSB/kF5BOQzJtkd5xUkyVW5UvViXIgYYPPtke0cS4zL2UI8pCXXil76IHRm+bdK02Y0nbX+Jbf3ewdfaUw6krXZdd/Pvo3W2Y8oh87DgDdAKHewePn0sZhGKjCiKYCJSvee/GBmRUbN+cLUgIvI15ComjhXckSZ/byyGdP9VfneWsyZEeKUJMqutM8HrMkxgWkIs+eC598Mu2pv/021N0MBKiGw8phTE8w0BnpaRIzqjfnijGAKEDYmB5k4DzRjT4MtuytBQ/PKd69++JgcJjdnuT1WWTRJLiR7DH5XGYfh2QReUUkcxbRZeF5JApxrpocnzyoeu/gpx9PffVvt0e6ugCA6QSHgUbPrU/8fzN2CkY1VX1t8YRZc7K2bBvtCwx3cFZeNElSvODOcDvSPI402VHodSWJHiRxyOuxSI5U2ZPqdKNgQ/zemsy/PJbyxqtjNa2NkoiuapqCgQLFvdX4WHX13FoYBkwDpgJWgbKTlHVSDEDpiwunz5ufutdeKXhTed7s5RNEDvECEkXk9aR5HSU+T4bsyBOdqaKAJN4qexI9DqskpO/dPeThBwpWLvsLqDqJMoZ1YBGmahAB0M741fzkGEpimyMGYzpjOtZxpFuhBCjr2Lh5ybRZOW8vy3fxJbJkkWXkdiOOM/FcHM/beA4JbuTxmLby1m/asnZ584LSRZs2Xjxvbv4zC/8UCjXUP/6X3Ul5DSiu3RTXjuJO2HKP5g6rKR61+08TlAMHAWgYaLcBIf3N5/ieEaJi3E1It64pALBj5+rx0zPf/gg5xGzen8IJNtGdJfFmSUSyG3ndJplDgoA4CTlFi1PKcHoqvvpswGOzM954ZZyitAJOdsvsAAAgAElEQVQA1QBjTSPHCWunoLPYmhsqoudQWhCAANMBdAaMAOgAKmHEIJ/psO7ztyaPr1z6brE/cB4vZHLuDN6ZIdrTg1ye5LHyAhJlJHuR5DV7vGaXGO+tLVuxsuTBB4rfe3tytHMfw50Ed1McolRjPxCR7W/ryWqx7+1G1vt6T7BEP3j/makzK5d/ludqMLkCyO6x8o5S2V0uc1mcPcMrJEgikngkc0m8M08SCj1y5kef2SZOjVu96gmGOxmjAArGUaxRrMQE840N0c9jQH7UKFAFQAU9Aph2YwjpmCkRYDp9761H58wo+GxNgeTNl4R0UbQJEuJ5JHA23pXM2fNE52Dele/mEMfFSWKuJA5YuaJw1rTClR8tZDTMGGga1anGaIhRzZg1dqbtzGBoz+dGiIa1kKqFgYGmANEBAOobaybPuGbixLRVH2Vu31bm5osFX6rsTxBrLUKt2e+3NPuT5ED2Wj5r48bBix7Km3LnqBXLXtD1dgoK1FS1DjwvarLqJnTEbO66aCR75SW2fTPsawSlA1iUANH6MR34jw0TXaORbnwyCh3dpBMA3JJ9xpwbJ0zK/PCjoj27iwRPZtCX75MzA36LP2AK1Jm9DVa+0bJLzPhs47AFj5dOvW/A2jV/ZTjEdKAaEB0wUTTaQSBMgcTK8YwB6OdCq9Ipiymp6xR0HagKNEKjURqiPZ1sPn79I3N+OWNS5soV5dU1ZZKU55fzA1K+T04UA+ZAfZw/mObks3c5i9ZuGvzg/KxJ9w/bsukDAFXXiKJ0YnJSI8dVPaqf+akP/4yxU8E77Tl6GF8AOgBmQDBVVRphoAHAzl1fTZk1ctp8tPKreLuzknNW1HozgwGrN5goB+M4rznQYAnWpezYXvjp6pGPPVo8adJF1fYvKHRRAIwpJiEG3UpUVyMYKIuxVRgwahSXzikg1Rk9TJQuUIFSiGDcqdD2bl2nUQCyd8vqWRMuXTAnY92aCx3Vxf7aZF8wUQyapTqz5MuRvEX++jS53rS3OvOzNSWzpqfNnTamZsc6AKZDuwLdUQZRoDqECDtOydmQJD8DGAqnHryMUaxHMFYZY5QAxUAxEArd3ZHdOz9+YPpVE8eXP/5k3vOLct55P33V2vw16/I/XpHywVvpzz+TMGmubepdF3347OTDjQ1gdK5p7ez4ge6nnm5IST+YlnKyNLcuyRS8eEjH849CEwesG0AzytRqbEywBoAZM6bXACPMKDdhIDpQrWePG/d470F6EegnbfDADHRGIyyiQGeUdYcxYAbd3crmTStnTLtmyv1lTz5pe2Vx5XvLKj5fk7zxy+SPllmXLs/6+9L86Y/l3jnhitcXLzjyXSOADhowFUgUgICmqgqOUiAxb4YZCuZ67zmzPvfvqb10lj30mINMGOgYiA5EhxCGDgIKpTHaidJ9bNPaN2dN//mkKdlPPIkWv5m3bFnhipWFn35VuPyT/L+/lvf0czkzHsy//c+Xvvvu4ydP7I9dK6UUKIOoqndE1Kiq92vIyr53MAaEAqUAlPUcsR813HEFQKEkCizKqGK81951bM0XCydOHj1hfPZLL2QtXhL38XLkXZXh/DB9zXLrWx9Yn3gGzZmVOe2+q1Z9+Hr7yQ4AoBQoZoQAZYqudzJmVJNYTxUrxg1l5xaGqgxaGD1BFFAigCmolEZwN2FdxjmfPH58zfLn7//zLx6YkfnUQvPrb2e+v9q24suETz6rWLai8LUlCX95Fk2dljHl/kvWffl818luAKCManBcgRMqsAilCu2mcIJRhZx5es6ZmKf0PTvtlqWE9eEeR73evW++9eyCx2c+8NAtU2b+etqsa2fO/e3sR25/5OnZX69/P9xxwPhdHSCkR4BEININTW3SuLu2Z+Rqt45jU6YeTE7izYgffeF3S5fA0aMAgAEUYN2gadBFWYhSjRIGFBimwAgFXQU9CjTSs8uMSnYEIAwQBlAgNpw6ttV/6rCYATXyU33y/Jrf53jt9Wfun3vn3L/eOmfiqOfvvGDZzD+N/8NvkMVy9Q2/OXHicOwHSU8btA5AAeugn6q4MmA6MAWoHnsy0FgR5zQ3iH0PUM+m9V7w91C99/UIz2194cWH582fNGfObZMmXzd1+nWz5oydO++eZ16YvW37Z13dR3/sj/ZD5vvUnv4edPYuNAMaG7kaIyUYMNrzg5iBxgw3LOaVnqojqLizpubLV16YPm/euBenjlk3KvmLS/MXTf7VrEfueOK5h517N0EoDAAYIAJAjf1AoS+p8LRzPHeQ85T1REs/kuI4dQmYRHbu/OqZ5x96cP74WXOvnzT9qsnTx8x+8Oa588Y//+LDdscGrHee/mdpTLEf4Gy2e58FDD3NSA+GqirWtFP4pCgdh75r3Hcw0NF1sFOLzV1hCgYCOiadRI8C1UkI1C7Qo53rN+4pqwxcMIpsW6dv+6btnnu2Zpc744pbL79R+WANHD4MoGHAEUZDlBDAmHZG9RMaRDVgGBilQAnEOGos9tFhAC2Wo+sZ4sX6OqU/vfVOAu19JUrwse6Dh+t27brpenhhsbxhW8mAchSX/PScByEUAQBFh4gx9JZSQhWAKOghIAoAprEnB0Sg52KMO5gwoAQMqkvvrj3H7iuMCcbEGHMNAITi7lDngYMtTS21Xd3HjNaz3p80hmf9cIRW/9j33c++fqjKQGFMB0JA79leOFZ2VQEiwELAwowp7FQ81E1I1GAXUAphPfrex+uzs/nbfkcPSVEIxf6pBoxBGCAElBouwDn2gf60xkDt7Dp88FDDoUMNXd1He/0afG6k/c82hjLGCGEGcFBKdV3FJEpolEG0J5LWGGgUdKYqTCFMpYSwMLATjIRApywCWgd0H2+bNvWTxDjpiYeAhljXsejGb1uuG1dvyxdRyvGb7tDXbYCuTg0gxIAQldEQhZBGFJ0ySnt9AxJz2XAf5iLrLWieJY/NYODrGOuYRHQKAMS1o3HYyNbkvMiTT/LfrhgxpBghtGDmpO5QCAN0gN4OEQU0hYR1GmWgAtWBUcpAYxChoBgNKgQoBUYZUAxUix1MA6N+f47VaSllhBgtCT26s7GsLgXQKHRTFqZUNwinhsLLOYehfb8FI5DRwEjNEQKYnXJKMQBlhDKN0W7QOkCNAKE9D2yd0ZAeYSQKKoENLuHC69cVFBxZ8gJAewginUQDBUAFID2UMWOpzq3P8ycwxpim6ZqmE2IsnNYTJaqUKYTohFBybuyBs42hELsHYt0shGAGWMeKjlVMFIyjFDSVKNTorDByG5gpAEeodhxwFyga7iS4kwm8Y9yf9733AUS6CUQxKNDedvLNN45cfJUfJQeyy5onT8HuGtBCgAkLExbtCYFjjUw9fRy4x1/T+iREGbBYTuDM7k+jZ8OABh0ThQEw6Fz6YXN6TofJ1ozM3ZPuaX37yV8Pr0QI3XbP3ceOdVCgKpzUWEQFFqYQZaAZaYEYB5EAId0A7QAhMGJFg0nUe/R62+fQbccoEEwJNmYLMkJ0jFVMFMpUxhRCI4REKMWGsEvfReu/Mz4tVu5DVerzTp9Hciy5Eiu3MsAYVAyaxphCQGWG3q6xAxkDqkK44+gHy13DRm81p7fNmg7HmwG6u0CPALAef8PI+1NqUB76czHOhDHGNBUTQgnBjOkAKmMRxiI6Dmt61JChoP3fRgNw9jHU6CWHPg2RqqqqqpH8ppRRAIYZxYwBZqAw0IGqTMM0DOw400+CGgJNxyFo74LWw3DiCNAuTLt0vROIAkSjrQ3tLz/ruuC8ajPylZd0zJuncwEj2KEUMAMMVAdNhygBBQxlsN6iUp/0FQOqA1WAnrkB1cbgQ2MdGDBKKNMAInD0b4ucafEnLxq8v7DAj8zhq6858pfZtwwbgBD6081/Oll/FABwt0YxUxjppnoYSASwCjpmGjCNgt4F0AEQBtBj7QYYKAaq9wCodi7MHO9rsaIfNSpFjFJGCKGUUKpHlZCqhQEwpSS2VowxxhRF6U8YPR1DKZwWz8TCF9KzlxjoANEeXQfNkHagPePfdQYaADGInDpEj0S3bzl+3zRHcuHe9Nwjc2dBgw+0kxru6gDWqTGiMMMPJcAUoORc5C79BMYYEEyZsXq6QpnGmE6pRqlGKGYMKAas/0f6oSxWJj+Vz/q+T8HAeOhQygDHnEesUkyZAiwKLAyaDliLEWN0RroBK0xRGQWdGeIK3Syw6+TTMxuHDtyGkHvkZScWLobGAwBAjPIRw5gqDCIUIhgY7nUQerP6jBmhvgZEP2PRfN/hsYwxYIwwAp3R/RNmVGcm6ovmad8urx8zho/LPVg0rOnX109MTClG6O5f39ISPAgAQIjOQlHaoUJIgS4FujFEGdUYpVgHgvt0xxjsTMx6Y3t8rgXzRuUYM8OzMDDUeMMYcw3AetOghijBOeWHnk7tYJQxBpSBxqhKmUpBx0AVgDADo5Jp4KlmPDyMGIhp0LEfdnx+ctqdNYW52yxx3EWXhD58H44dhGg74O5uorQDdBOghv+JGQOiAcH/fvDZY4ZoC+spl2GiYRyLn4wM/zly6Wc/lmffzzGenozvbfmOtRr3VC17C82MMQysE6DL8BcxBcwoi1XYGQOgOkA7wGHdvuvwtAf4vFJXfJL3ysu7PlgCJ4+AAZqEAug6RMNAwsCiQDWg+BSoGWVzSs+iahgDFgUVjjQf/O3YqowsvPsrgOPKweDROY8HEiu9toKavIGvZZdch8yzrvz5frcTgADtJvgkQIhBhEIUqAY6pmHV+A6UnqOHxmUkKGILdXau6v9up4XB57z1OVXjyaszpjNGAChjjFJgTCcRlYYwKBg0DBgbnQaU6RojpCf+1gBCjDY0ti97q/H3N7QkJnkR8g0r3/fcI9FGHpgKqgo4SkEPA3QaxB8DdikB0DHElNr/Jdbsn7b/ZTOcS1vlHMDQvu/0wdAYwaiXIaL3BVNKmUqZDgx0FqMlRQFILNkEgCloGDQKXR36ps/9t1/PZSb4rZaDV/0yvPJDCLcDANUIo6ABVQFrgNXYU92gHLK+p3S21oVFQVVqnY0X/mxv8WCF9wBRQKVwMqRsWe+fP0MYc31z7kjelLoVWWsGjzzx8uIuBw9H2nv/gqpEsRoFqutMCxMtTHCUsSiDMKUKiwXwRlbu3Nh7/8p2Oob2RvEYY6pjwAxUxqIUFAYYCAWFMZUoPVtVAaLAsSOaKLavWnH4vrudQ8/bk5y5OzV7z2VXfvfic6SWBxoCEgVGiU4YwwSo8ZsxL4EwYDqARoGcSw7Zf6j1C4ayH3x72h4gABowHVisfsz6hKU9GAokClQ13M8oA50BIRDL+hk1UAUgwkDTQO+Gjn3hVW83jbncmYSEzJTWW2/Rt+w2ai5AdNDDgCOMaQSwDlSPCWyfrcL8qYVgCtB2zr4rbaD78t/gtn2AAYy+AQgBHIFWHyxfFZ4ySywo3xuf5cka4K+89MQtUyPPLYVNLjjQDprhu2MCUQ3CYQh1gXoS8GGqdwCEjL/UW+D47233/2I/EsszBsAIA52BQiBMqAKqHlMuoACYdgE9AYd8sOXzzhf/dvgPtzQNLLMnob2JyDu8vGHSxGOr15Bj7YQC0QE0oGEMqtGriKkBmada0HBPhZDQ/2Jof1s/1OVPN/qjB4ulI6khahfTYaKndi0wBpSxWOeRga3GTsPAjFQ96AqOhKOMQjQSohDVvwucfOeFxosv4JHNUTjQO2OOJsugaBCJghIGHAWmEcAqsJhIWQ/d5OwYMyTS6lsDv7//5OK3Qe2mBCACWKVRiDA4CawdAEO4q2NP1TfX37wIWXbGFwTNec2WwtrCkdyVvw1Mm33kvfc00Q1HmqHrIJAOAJWArgKOAlV6aXVnj338fzf2gz1wbtsPakqx5aQ96ZJelbtQiB3+jjqqoh8ubZw7gx9zjbMw32U2B5KSG8uKu277fecbz2qeHYA7AKALIMqAhAFOAnQQ0DGmUWpU6w35EAAMlBqsKaYCI/84rPs3sH+0Gc6tfXIuYOgP6uIMG+MMNMAK6CpgHTABbKSYtV5KR8wn1YFFGER1wCqwnhZlggEfZewoYyEKFDMWphAiEMW0senwqy/XjBrojEPCsMJ9zzxDBB+oOmgKaBEGWAem9mYS8A9773sTpj99UYNpAF0UTh7D+mEVQoQCoRBirBt0xiJANAZMVxUAIO0nnr3vrqEI3Zee/u3Pf9Z8802ewoLaeBuPkD838/Dl13bePbv9pXe6vvoWRD+cPHH6+f/IVf3wIs8ixv6gKhOjDZyLKdIfPZXvn2K3Hq5rO7Zlbfsbf+kc/8fvLrm4Jbe4DqX6UEIgo8J5xbXOKVOPrl6O2+qhXTGEhYwkFqVR0MKgRkEnhLBuMDToGUCs4YwCaEAwKMwoTTEC/7aZGdpnM/zQzSJ99kk/W79jKOsTXn7voCTWXk0wEENStjemp70OK2gAUQqKDqSnDQQACAHcBdDVG8AalRTDryQaFZxtD874dlDxuqxE36+uOvHqK9DSDJQyAI0BBiBab0GGxSCHUsAqqGFQu4BFKKhG9ft/SfD+0yuhASgMgEVBiYBCGcOxWhkzxjkYF61SjQF0hjpnTBmfYEKXFebWvPYy1FRF3llyYvbs2l+PqSkfviOxaKc5V04beHDIz05cf1f7rCfIq2/B5g1Q64FQK7CTP3rStKdhpocAhXXQNNAw4L6snVhLHQXW03XGGBDKeumPhno7Oe3BeBrHXOvzdW+9kMZq8AahBaiR3O4JPxhQCoQBoQwTqhn1m9MPBj+A3thLxtXRnmx3r2CSkYKnBtOIAqNANMp0YkzjYjQWBZFYrzuFU8n6npPSIdINxw6DV4L1a/Hivx9/ZPbBP/3eO3p4VXbK3oS4vYlJXE7xgUuvPnHP1K4X34ANW2HffiPU0XsJo7FeTQxUARIFEgHQdYgV8Xv4KwCxnjpCTwOXf1frm3X64UFPqXP0t/U7hp4xO92Did1kRgO5QoAAqNC51/nd7b+3ZydtTEmxj7mh69P1cKTbcNSYRqjKaEjDih4FhhkDVYOIAtEIqCHGojqoCmC9hytw1i5L1TUCTCOEAkQ05cmnn0QIZSQmrv/qGwAAHfSDx7pq9nYuX9b14MOHfzs2UDHCn5QbRMl+a6o7O69m1HDXTddKU+4+8vcXlS++1F0eVtsIrQfg8AlQTrXOUQqYMiVWUNYJw7HqM4lNCCA0hkSnCBXUoDUYj7pYO5TOWCylB4CB6YxhRnXGohSrjGJgGiOYsZ5FPHVQShkwQhjGlDGGCSWMalQjjFBGCMO0BxL7HIxRGvtjPR8869WzopSeDtKkh+FFCWYGeZZpjBixCNWwdkokJPZzDFQNQhE4flxtqtd4J9n4TeSVV1snT5PH/JY7b7iYky3ZkBshKRnJpZkHfz0m/MBfu95dEdpeTRuaIBSbjUyBEdAIKIT15xTr/9pPZf9ZGEooBQaAGYT0GE/v0PGuz772/P6OPYlFbmvuiRv+GPnyCwgdZtCpQLgT4ASQiNENRABU0HSIAHSD0SrCGCgEuimcPflfQghlTNN1wqhBQ39m4TMmkzk9MXn54iUAxpM7DOQE4CMQ2ccOidEdq1vefMb/0CzhpnGBUVe3ZoxsQLl+ZPKbTP7EpMaKisPX/uq78fceemLBd++9efTL1eEd34JXgAMHoCsag5HT8qcMWEwSFIAAJbEgARgjmOo6EBzj9THCKGFEA6IC1YEamn1qT9oaA9OBaD1aU6cfRD2tRZVqjDINM8xO+aexsWt9DqqrTFdiv0s0RlRGNQCdMY1ghTINmE4xjvV1GedjqAHHOiejrEfCO2bdnVpbc5fkPrZ108GPP9r//MtHJs/uuPbmA4NHNGVlBeOSRBQn2TKCuYN8o34m3nCHd8aC1r+/rW7cSZv2wfEjEDoBJASgEKOBDGhMsIBQ0Aio5NwTmP+v/dP2H4ShBABTqmkqwxQwgEohRKCdQBjgcGf7sncbx1xVY0bB1MRDd48ju9YBbcdAFMBEV3WMIwAdAEcAjgGcknkGgkEhZ7F1klGmazplVMe6qqkGoXXxK69ZTOZEW9zy196KXS4NA4QxdFDoILFT7oITx8DXwL7ZE1qyquu5F7umT2+94UbnxRdvLin5Oi1lc0r8rpR4Z0ZisDD70IhBh6648uBvxh69c3LXrMfoM4vg/RWwfhNzuUhrEzn2HW0/DOHjoP0fhtUw6CtYxHRCVJ3psVZbI/hnsZLJ6QeLfUEYppQA7hGhwj2Mjd7eoJ649oecjx8YBYgA6wDaAbgTQifY8aP08BHa3EY9MtvpYJ9tZEtXaM++cGDW3KY/3bVvzA1No6/0VgzlMvKcial7LLY9ifE1mWmOCwaKY3+xf+rtxxYu6P5oKd2yFbxBONp1aoAABZXpYYhGQekCtRNIB7DO2KMXGD13snn/tf9X+4/A0FM1C8YwpUTHVNOZooMGWAWKgVEMcJK2VLe/8df6C4byyOSrHHpywaPgqQI9Chgog26gJxjpABZmLEZsZrHS0tm7EXqjZkwooYwyVVVVRQGAN19fnBgfb0bo+WeeM+5NhVGNYYWqCg1jGgIWYSx6WvAYjtCjx9WW/WFeDK3fEF28ODzvwSPjxrVddVXzqBFNJWWN6dnB+BTJHM/ZEu3JadUFBTVDBu88f8Ten10WuOWGE7OmHP/rX/a9tKjz3Q+UTz5V1m5QdlZp1Xbq9oBXhqAfWhphXyscPwqhMESj8I8UIv6Pvhjt88U/+g0VQ0SBzhAcPQkHjkLTQV1uxEKD5vCre+XoFlf406+Ule+E336u4/nHjz76wL4pE/233LLnkiuqR11SVT7CVTisJrnYaUuXrHEBW3xDUvq+vNKWwSOaL7rsuzG/i06eil94VlvzYdS+LdQoRI43g3LC4CX3nBCNZToYZYypjIYZCzHWxVgIIAwQ6UlxqqcRlf5r/9r2H4WhTGOUAGCjMZ8BBtYF0AkswjSsdAB0A3SSBuHg/AV1RSPdKKH+wgu/e/VFaGkFRoEqoIeAREFXgMUoVeTs8p8Mn45qOtF0homuakTHBBOKCQB8unpNWloaQujBpxe2YxJrU8JGMy0FSinBjBAjR0h/iEUEQMUQ1aAjBAePglfWN609/tG7TYueDSyY55t4r/+G3zZcOvrA8GHNebm1NqsfIS9CEkJeM/JbUNCCaq2oNtnSVpZ9aETpdxcPPD7m4sPXX9p299jGudMa5s9qeubx5kXP1r/0t4YXn25e9GzL35/Z/+rz7e+/FVr5wclPPz/2+fre4+hn68n2Gtjjgj0uvL26Y+23x9asbV/9efvK1Sc/Wd21+rMTH69seW1x3aLX6l5ZXPdq7Kh/eVHLI/PaZs/YN3HC/ttuP3jD2P0/H9M46KKDA0c3pA8MWAprzUVelCIjS8BsDSCLFyEJmf0pqY0lxfvPH9l6+eiW317bcucfW2fMOPT405G33qOffwl7dkJrHUROUho1moKwMffOqFKqPXUdAhQTIDowDUgY9G7Qw6DjWB1NZaAa2jAxfpICEDr3Zrb81/7/2X8EhsL3KFSMEWYMzcARiERAUYESAIYZKASiDCIK8dQ0z56yNz9PiE9uu/wXkTdeZSdaALoZ6BRTpgJoQCOMEIYZxfRsVQYYAGWMUABghBoeHCOU9ozB+PzLL/LzCxBCj859FBQKALpCKWEEDL0V6MknEgo6BY0BpkxnPYN3vk8mMsrETANdhe5u+O4I1DWBW1K37+3+ZlvHR190vfFm6KWnTi544LuZk/bd++fgDTd4r7mWu+SKnQOGbSsZuKtowK6csurMgurE1Oq4JGdCyh5k3YVMe022KrOtyhxXY0vgUjLk9CwpJUlKsklJcT2HraUgZ19x/r7ivOb8bH9akpQU70tJ4RMSuLg4X1qaPz3NZbXYTciOUBVCuxGym0xccvLe5JRtCQk709O3Z2dtycveXla0fVC557ILvFdfXnf9L4/edcvJaZOOz3si/Pzi0MvvdH2wpuurTZGNO2iNG7wBaG6BI0chHPneDjIM9ww4NvqFCJxqPjbE51TKCDOIzDoQFbAeS1aQHrpFFEBlhnABo8Zj/L/Z0H8H+/fFUPi+K9oLo33oMJjFms0pZQA6MAWIYtRKoqAe0b758sSNNzfZ4qqslsAtN6nrvzD6REGnoFJQKcV6N41Gz+Ys+x/QPPoWxAFg65atQ8srEULzp88Nd4UBgOmxoToEQGOGhigFMGScelwrFlMbZYZwkiFdhRn9/9o77zg5q7L9n9m+2ZRNb5ueAAGkGHylWJAXBbugLygCAgIhJBAFaUZCE1Q6JBia0hFBEiAgLY203Zl5nmlb02npZcvMPOWcc9/X749nZnZDEVjaD/d8P/PJZ3Z26rOZ6znlvq9LMeXXH989hw7KyCAdeFlKp9XOVrV5j79xp9u4xU1t9las9RZG9MML6fb7+S9/patvbfvNlbtm/H73zFm7Lpy164JZO6ZfsfX8y7ZPvXjjT05Y/51vbTj+fwuXdd/+1tpvH73220ev+/a3Nhx/zIbjv914/HeTx31vzQ9/suXUX7WfN92ZMTN7/gXOjJnO9Aud6RfS7y7DtTfom+fIW+fKhx73n13oLXrVi4WdtUnvjUa5dY3e0cJt65Heiqz77nK0gvVHMEJsB9JgB5wzvgq8ElmCfYZLcEE+dK5OSufjZwreisFxDJ4tXx+voRSkhC/hS0gF9f+j94uhG/QUDcW7B1nBbawQeJVKsIYL7AQ6wBRUMoGw863sI/du+Na3I6HqRPW45lNOa136AmhX8C0jeLuhWt93qe9T/lxBhaLSyvMRVB0AAF5Y/NLoiWOEEL84+ec7tm8HOr/cBHLgS+i9zNqCVQkd+PsraAWSGmgDWoH2gvktQwXHjgnaB+esL9Q7lgX4ne+WVD74/T2XMrtW+73fhbrcE3tfLyxMIGf+gULV5btfixRUGu9Oh8gAACAASURBVCoNckAOdBY6mzuXdKqfB3SA28EdoA5QB3QHdBo6A5WFykBlIT1ICSmhJVhxFxl18uueHUAbkAH7UBRIdNCgSUEnc2FrzPDF5r9aQwsUhHPvK7kvGuVkwAW3Qu+B9sBMoGDa1ZGFVtjyduvcOxKHHxkWpWuqB7efdYYTfhnYmYXXxjrLn9GkrLD6yugio8HsPlcUDs0aQF101X6T9xVC/PCEEzZu3gxAAlk/iCWWHITGkgTpYFOMOVcG73fRgg7INNws/EAwFCRxTjWgfSgfvgflMSnWknWh+jPw2pNgj7RLJIlUriQ+OGN16qJGUI9P1HV28D7dvy4oCw76c7KgLFQaOpO7ThmwC1Y5WzTSHDgAagUVDPoISkF6kFnIbFD8lKusCqzmtQZpkAa7QBvQAWSYXQrKkpiIKdcOL0EaHnMwqJcoNBSQgpZQfu6SG+drkIYiSAVfQnrQDjgLzv5/UiNu+Hj0JA19rwvl/5XgLMiB1ton31PS832PSCtFvmaXJZDGRqv9yt9tnTCpXhTZo8btvuZqbFwHzyH56YdY5z+H6ozczZ8JlAYAYiJSRJqUdNIAwuHaQ6dMEUJ87Tvfbdj4OgOSmZhZK5DsMgrNbTHlKzbJZ+2zVqyIgy+7Aw4CKHzSHikvN/cnYqnI9yHzakVK+472HWapWRIrgiKWRJJYdV6ocIsMrrPyWcn/ePGZPGaH2WHKskqz7GDKBrcQO0SO1g6RZFLggpR5UB6kBy2ZFClJSjFIEzFDa1I553x0dkcxmDkwsSFQ4bxSaKzSnOtXz+Qn7yr/vwgchMcqDSWhOFgrDfq4wBrah3ZB2fyGktHQ/w7+mzW0c9reVTdp738lM7MHzlnnEeCTdjyQZPg+3CxUB7ELuHAd7AJ2Z+2lWy+86I0hB9aLwQ2Tv77rxtvwxuvv8cKM4GUot1KZn69yZzAcf0QTpa4amt/2AWsipUkqAFIrTQosmXwA69ZtOOKIbwohjv3299eu2Zh7EqmDxsxCBCIYYA32QQ4oDWoD7YHO5vehOnfxmUmTYmhJnmKpiUhSIBdBFrDi3CKBy+wDHiFwyw628lTeDFq9a6b+rurQvS66i5AVrhSu+8HWd86Eu7OhWjLLfFGp5ryWA12XLwsRMKpzj30vR/p8tjAHhUvBsDZXHN91lb1LjaoqmNSpzj/VXisWhXBXM5X/4vPfrKHv5D2Hovn/9F1HdgCCpnDKze5yX0IfkoIqaqdDLVr2+ukzXqsaExFDWo48vv3Rx7BrR/AEOqgAdAnKVeQ68DKQih1wB5AGebn1MQ0JtBWa+v9D2eN7fYjOn5Hv+M7fFIxHldIA1q3bcMwxxwohjjjiqOamZgBBYSkzK2KltNaaNOWKtbjLsl2QU097H648FPgMv+O95VPUC2ervQOBu3/5z+ul9F5t1e/36u9eJ/gPr7s3hHxLVOcvu56Y84/hdyy27P3ne9c1wxebnqSh3aJzQEkAQ+eM4T3Axe7t7pML3vjeL5b3HrS4f/XbJ/5M/mMBdqbBkAq+hvJZup5SSmpfBcrKPrHWRIo4WCPMjdRyo7xP5j0rpXzfZ2bf9wFs2bLlBz/4gRBi8uTJtm0DuSw8KaXW2nVd+VmtRRgM/30YDf0AKB+2mJuIM1ygAzqLtPR3gNuxbX3Hw3evPfxQS4hN1YO3nvJLvXKJVp4CSOXCHpDVQbNTkE3WDmqF7wRxm54M3M7VJ1dxHUTdFQLvAOzcufOkk04SQowaNWr58uVAZ8KwUoqI8vlFBoPho2E09ANQYDfIxdK5xTNmpKF3w29HOqN2+LwVaju90Zi+49qmL++TFGLDwP7pi2YqK4JglUCDHCgHRHCANNABcuAS0qAOqCy0VgWf+Y9NIJ0AiKhrFLvruqeffroQYsKECS+//DIAlScYjX4SL24w9DiMhn4ACnBAGvmQ0aBDScMFd8DN6g6fWn2nFUrBb0NL7a4bfrN630Eri8XG/calr/sDWuoROF/6YILqTIuSYBfKhe9DkwfsBpxP6D0zczBPV0oFGcKBjLa3t0+fPl0IMWzYsPnz5wPIZDKFif8n9OIGQ8/CaOgHQIAXWJbpLsWTuaJsJl/C9eCRdAK1BcFpa3ltw/RT1g6qahCi6dCDOv46F5veztV+B5vawRYWMzwmhyEDNyF8UquSgWgWZuiUj2YH4Pv+pZdeKoTo3bv3vffeCyCQWinlXkHNBoPhw2E09EMQdDbvVYmTL2AJegN9IqZcpFOwriid9KJnWn7+o1S/fglRtPNbx7iPPIDtm4B2jTYfijV0FirDbmBf5xEyGvITFq+CGgYqGVx3HOeaa64RQpSWls6bNy+4MVgYLayQBsupn+ybMRj+KzEa+kFQ3q6DAxdmZPL11TqvpET5NVNZKLwGCNi1Wz395KYfHL+yrCjRu2rrST9Vi5+B2gZIApQD8kAS2gf7QbbIp9Uy2nUcCoCIbrrppoqKiuLi4rlz5yqlkB+QBuoZbDR9Sm/GYPhvwmjoB0GdW0kO0AbsBnYBbUA6byoRDEY1mNkDOSApM9rPsseQTGrbpta/z2s48qsryqteHT5m028vljEbWiKo65TMkn2ts0E606dAUOQUSGQwzQ/09K677urVq5cQ4oYbbijcszBiDYTVYDD8Z4yGfhD5bvqgMjSTN9MtxEdkA43loDbd0djDaJVw28FtnPPZZYA2t7xx+59b9juqXgxZP/KwbVdf56yPEPYQslBZJnLxiU/lcwRbTMhvxHedpz/00EOVlZVCiFmzZjmOg/xA1fM8M5c3GD4MRkM/AO7Sy6cBYmZiqMAIEqyhGYEbJ2toJh/Kh/TZV+SRdkl7mpXMNXj6iNjpCy9vGTI+LirWHbS/e8cfeUsT2IHmwGftUyLYoC9sNAXjzWA0+uSTT9bU1AghLrroovb2XG6a4zhmHGowfBiMhn4AXVvUASAwL/YILsErNH5rSBn0igcVUMQM7UFloNKQWWgNZmIl4UJuk8sWtp/0izcqhyZFeeOR38g+8hA2vxFk5eYjdogoaDTPD4R1zpUpbxNaGB/n32XX1sV3fwrmwM6+a+koEQWjzueff37o0KFCiLPPPjuTyRTuYIaiBsMHYjT0I/KOpuvcLfk+zby6AcjbIeVzfzUxqQ44u+H6cNG+039i4e5jT0mKQfG+Q9488Vj3X3OQ2RP0RJF0NWU8ldVa5XayJIMVk8tKQlFgWOkCPkCcF9TCaPmDpI8D1+Yui55Lly6dMGGCEOK0005ra2sL7lMYjQarAUZSDYZ3YzT0s4IImrSvfF9LIsBnSN7xVnr+Y6u/861FZWVr+/Xfduov1ZKX4bYDYAXlaNeTrlYufAWtwZoJWkNLaM17uxnpTiX9UCF5XcueguvRaHTfffcVQpx44olbt24FIKUMFkallL7vm9m9wfBujIZ+RgTTcXhAByMDJnRA7Ybjo01u29Bx653rDzzKEiI1cfi2319CdgIM0vA0Z4GgIVQBRAAROPBOztmUaILiXAmrhlQ5v7cPJqheCmb0wRy/oaFhypQpQojjjjtu8+bNAJg56HQy1U4Gw3tiNPSzgIEM0Bq4isjcXr7vk8vK11mWaZAn65PbZv2ucWzNa6Ko/tApLdfNlm+tYZDKG+lREPpDHIRr5BZDc0lAGloS/HZk9yArP8jbt9D9Gax7Ir9lD2DTpk1HHnmkEOKb3/xmU1MT8nWjgZJ+2gfKYPjCYTT0s4CBNLADlAlSlQOXTp99SR6Rw9ILrIpVxq19bdtvZsQHD4kJseHQQ1vvm8db30Igl0HEhgZzzkc9U/D61QytGJ4Lx4GnP2gc2nWLKVjoJKJMJuN5HoC1a9ced9xxQojDDz88kUgAMINQg+H9MBr6WcBBlDKkT3kLPIXAq2kP0AE4IJ/zItW6C/Pnd/z0pMayypWi+PVvf0c98gh2bAueiJmDxVSH4QFe57ydAU1QPnkffi5fGFq+YyP+7bffPv7444UQhxxySDgcBhBIbVAXVdiSMhgMRkM/MyTYBflQEqQJnAW3Aq2Ai3w3VKFYCkDbrvYnHt12zP+uF8XNpeXrTzkp88pCZNsQ1AVo0pqlrym/F08KgT771P2g5q7l97t27frxj38shBg7dmxdXV1wY1BVGqhtsEj6MQ+KwfBFx2joZwVJaAfsMTwNSUHqGVEu5pLyK5saipGVnOsT2r4xc/ftqSOPWFlasaK6esvUs+TKMNo9SMnK8Uh7nG/jd8AuSEF9cGnT+xLoY+FHx3F+9atfBV55L730EgAppeu6weKpqXYyGGA09LMjqMMnxVAaUkNxEJqrCYqgKUgFkhIusQOkwWloDYCBdZtab/jz2gP3XRUS8ZGTd/3uBqQawWmFbDsyHpSWCg7nmk/lx83qCYaZgZim0+mZM2cKIQYOHLhw4ULka0ULbU4GQw/HaOhnRSEukplz4cLIBaYRg5gJmtkj9kg7kBnyfMpnGBMgHYq8tnvG1JYRY5eLyhUHH7btztv0642MjIbnw/W0r1VeRj+6uHVd4gyuF7qYPM+7+OKLhRDV1dX/+Mc/gvsY22aDIcBo6GcFA11sSDv78DWIkQVagQz7DAUiVsSaiVgqj9hjChLSQekMrXzmzfN/ag8dEhf9dh50rDvnIbz9FsHbCW8zXAfMkkDvoW7vFVS59x323ikiIs/zAiMSZg4sR4uKih566CGllOd5ZqfeYIDR0M+SQsYvIa+hGtAgBDl3LIOfNedrmIihCB6zH2SR+AA4i90b/Wee3PqTk9aUDl4jqrYc+339zGPa35KF40GRDtLsNVQWbju0S+A00Ap0BPKtCErlNFXnk9rzTaKaczfI/HQ+gIiuv/76UChUWVl54403FspLC4NWGAN8Q4/EaOgXDN/NhzXv3tDx8F1vf+OIxqJSu3f/Taedppcvh5sBIJnS6TbyOshPk85IyA7wHnAHWAKkibRWQaN913ZR6jRYke+zHjB37tzS0lIhxM0331xoYQo0NBicGhk19DSMhn6RICDDcJlZOYR2jVbanto+58bXD/lmkxjUMuBLb118RXqtpcE+oIE0cxsrDz6oA7INOqOg27p4SDu5gCj2wC7YD1yhKD9Gfi8efPDBqqoqIcRll10W1OQXqp2klCaq3tDTMBr6RYKANCjNpIg0kwflwQO7SKQyV98Ym/TlF4t61e2//46rrsbG9QA6AJfAPsP3ITPBQ30Nl+GBHXAG1AFqg26DaofyoBkaSsFTkPodhqaFqf38+fOHDBkihLjwwgsDr7wgWtkIqKEHYjT0iwX70ldKKYLrMHkgycRBDl6bE1my56wz3x5cExOh8Fem7Jk3h9/enssqCSbnQTRz4KSnNFhpVh50BpSGcqAUFFhC+fA9KPVuU2jHcYKSpueeey6Q0alTp2azWeRj70zVvaGnYTT0CwUxshrtnlbkE5QCJEjCJ1KBq8mujTz/8bd+/pOmql5JUbLl2O/uePxRZDuAvNeJF4ipRlbDIUgGMTOIg5orBhNYgST4ndX6gQd+wQTv1VdfHTt2rBDi5JNP3rFjR7A8+rkcFYPhc8Ro6BcJYngEGZRJ+WAfUNA6qJLSYA/ag9bYvtN9/JFNJ3x3dZmwehe/ecqP5eIXWGWyILfg9uQxXJWrEtB7WTgT4IH9d41Cu2bWB3tHkUgksBz94Q9/GHjlvaPT6T+Y4Rd8Tz6tg9Vj+M/2BeYgf9oYDf0ioYDdQCvABHgEz4f2GTJnhRfEhahcqxJt25i+78ZNR30pUiSWjqxsueg0t/41qGBMqjT5PnQGuoMoq1ir/Aa9hg+0A+kP1+6USqUOOuggIcQPfvCDTZs2AchkMh0dHZZl7dy5M5jmv4PCt9rYl3yCBI4wBVMYdDm8BYdDw6eB0dAvErqgbsyQPmQalAYyHlQ2iAZhKAkvy9BgYgawee3mG2dt2G+MJUTjviPe+v351BKFatPIZpDeiew2qB2gDOV9TzTkR9FQAK+//voRRxwhhPjKV76yZs0aAEuWLKmsrLz00kvf8/78rq0qI6Mfh4JKvkMoC7cUZg+GTwOjoV8kKFjPDPzwsxKeA876cNNQwVKnD7gMR2rX8ZUHcvMz9FhkzyUXJmoGrywRsYP3ab3pGrW+AdTOyLiUboNs1UojV9LEgaveh9DQQkrotm3bjjnmGCHElClTNm7cmEwmy8vLx4wZ09HR8e5vb/CoQkXUp3OoehYF9SystxQ298xI/9PGaOgXCc4n3ZEEBan2RJq0JFJMBCJoDaXgEkl4HLg060AO29P07xd3nvnrlQP6vlxe1nj4tzruexhvbILqADuSZW6dNEhkAn+YVKbAecT3PABvvvlmYDl64IEHvPbasqOPPrq0tHTx4sXmC/y5ozXr7hsiGj4Ao6FfKPJN91kgDUggZ3znMaQCOUAHuIPJY0iCT5BM1NmMpIBdu1oXPrP+xJ83ltbYxcPXfPf/ss88h91bQQ6gQATFIA1WDEWgnJLy3u8gH8HMgCL2lQwGm67rnHrqL4UQBx982OFHHCGEuGr2bOz1eK2Uv2XLxuamaEPD6nXr7D27NinZ2nkHLhixBKVYVLjRkA/QIi4cfbzz4CiV2bVzU3NLpKEh3Nxobduy0fc6ggyad9yb88+Rf/T7t1UY/iNGQ79oMDgXJtLFu0QHWXWqs20TxNAEzcEDAtHTHNjpYdee9KNPNnzj+3bZkMaKobt+dor36ovo2AGwZu2C0qB2uB3I+PCBQnYowBLsFlYUJNBB5EB62l21etmKFS82tzR///tnCDGsqLhUhMR3jz0ueMXNbzcuW/LM7N//4oQfHnnKyYecfeaEqb8ee/YZ4848Zd9Tf3bo7ddPr1u6pHXnLgAItB+7JLZ4Os0aytXSkz1XRvPnFQ1S8BQcBV+BPQ/k55K4O/a01i197Y4bZ576y/858cQDzzl731+fOencM/c9+YSDTj5xyh+v/NHLC+95+616IAuQ9IkIGlqyVATfB2kQ2oB2c7LqBkZDeyrKw5ubsrfPWbv/l5OiYv2wUR3TzkF4MeAStMvIap1h31FKSh9KwvMgfYb2of3A7pTJ83Vas4be3bpj8r77CSEGDhp81Ne+V1ZRU1weEiExYfSBrz776rNP3zZ12qRTz6647a+VC14Yv2jpIUuWTl7+2riVr41Z8vLofz+93w1Xjjr95FG/vfAbTz85R8lWAJ5u87FbIut5knzWvub3MqP67ydvVMMMDa3QKrHF5V2SlFZgBS/b9u+F9/z+kiNP+/mA664duuD5cS8vG75k1dhFyw5YtOjgRYsOeva5UXPmlEw/r//Zp0986IFLtmxeCUgl2fF8V0tPMxG0guZWo6Hdw2hoz4RBUsGTyPjN8Z2XzXqrZlxSiMj+wzfeeDk2rkUayIIc+JKUyrJug2ojli7QlvN/YpCnXOlLUsrxXO/B+x454cc/HjlqsAgJERKiTIgiIUTl8UcfeelFBz71/ODohrLEW6K2SUTri8OxykisOJ4qTSaqo3UjY8mJ4dTE+x4deO4FoUsuO7qx4aXgPbpu2nF3aHI+78P1ucIAgYOzFtqJtynaw4oBbFgXueKS75x7nvj7oyV24+DE2v6rU6Fwo1gZF6tiJdH6MruxONIYijSWWg0jnn76wMsuGz5t2j6LF80DoBU0wVeaoBiaWWrtf94f9QuJ0dCeCIF8uIoc8lwA0BllLdl4ya9fG169KlS88aAj3T/dpZvfAAAGsj6k8pmCGFHSYMlQCuxrUiSJtO91SBCcdGbr1jcXL33xtjk3n3bO8b0GFlf2Ft85vtfyFV9KtlTXpkRdSkTjZeFIb8uushMiYotouNKODF8VK1vRKOqaymqTw+beUz3jvJGrXn0eDOXJTHazpLSv39MTtSdAQJbhMHR+BZrhAcCyl56cOX3svPv6rbYGx+L9IlZRNCFqLVFnF8Ubi6LJUJ1dVGeV1MWKwgkRSZbFUmOt+MGPPX7AeVOHPfP0XQBIgSgD7PHUTk3alJB2D6OhPREFysCVMgtXwpXkOQBBt+vFL71+2ul1vfsnS8q3Hf019djfsO1tSJaBfUmw3OpoeB6T68L3kQGnQUwSbmavTvknn7rpwsvH//meQbfMDdXV9retsniisi5cblm9Y3avWKwkkRCWJSLhkG2V281iqS2i9eXRZEkiNWTBU2MvOHPikhf+BQJr6ZLv0oeLKv0vhJklwwHaAQc6J6ArXn1i5vkDX3y5ZnWs0k6JhF2eihVH6kTMLq5PlkQjJbFYaTxeYVl9wuGqqFUWiQsrGVoeFvHGmmUrp8yYPuIfj10HZKXcqvUWT+3WRGYe3z2MhvZEKLBYZsCXcB3OOqw4t9eeaW3958Nbjzu6qVTEelU0nPR/zuLF5EpCUJQK9ojI8+C0IZvFLuIdTOQqdDhSsR8kP6985uWLph64aMU+qTf7xZpCdrg8XjfAXjU4VldthUOppIjHRcwKJWKhZFLYCbHaKo4mB9eGe9fWhiw71JAa9Ow/J8w8Z3wqtgSAq+ChZ2ooM4EkmAnYA+wCKTDsyL+nnVv97PO9Yo1l0ZRIJouSkeJUNNSUDMUiocgqkbLLEnaxHSmO1lVa4X5xqyqeDEUSItEirCZRF69esmLyBTOHPP3UVcAu4jZFrqfYlOF3D6OhPZKgIkoF5aY+4LJ2ISUUIAmssX3TnvvnNf/P1+tK+kYG1uw+5zy9fCkyrQC7QDuQhXbhuLxdcZtPyALtlJXIAGheGfvdL7+6aP6UVKp3NCni9SJui3hdVSo8IrZ6QDJa2hAPxSMiUdcrUds/Udc7Fim1okNsu2bVqvJ4rChui1Qi1NIy4pEHR1w8c8quHa8H1vo9ZJBUaNbUWmutlITvggmAQ6oVWu7cvP6iaV9+9KEh9c3VsaSwIr3idYOTdb2S4TJ7dVE8UpqyS+PRUMIK2RERi5TY4TK7rlfMKo/FRdgSkZioixdFksNfWnzwr87sH4vNB7OTpYyrtKnk7RZGQ3sizNAaTGAGawYRgyTIYd1B0g30SjMa1uyefd2mQ6eEhWgaO2z7pdN0chkjo8CKGB6x7zFrR6FdUxppHx1Qbddf/JOHbxvWsLpfo12UiPZpbiluWCOam0ti0YralaXJWJkVFgk7FLdK4uGKRF1VvK6PFa6ui5SlGkQ8VpSIlVhWmZUoijeNvmxWr7l3nQtIonf78P13opQK0gCJyPel0j6xr0mBoB0f0H+76/xLZpY2toxPNRclG0P19f0aUgNS9WWpeK8NzcOjtRXN9YNj4X7xcL9IbUkyLhIJkbBFKhFKJMsaW3rFUsWxhpJ4S+9Yy/h7Hxoz7fxvsZZeljWR0sb+tTsYDe2JSMh2dHjwoQEX8EAaaUYr1B7IXazbcvGgEjpDdu2ei2c21AypLRWxKRN33HIlXl8DH0gDbYDDWiHLqgNpgBe9ePdF55alaivWJUNN0f6rXjnwX0+Mfu656sWLejU0DApbZfFkccQSdlzEYiJui0RUxCPF8VhR2BJhSyST/Re/OmLpslHhZGVdU+nTr/T75RlDtm6tzZX49ACYOUhV8X1fSiWlo7FTsaMdgPHG+vCvTx25dPHBq1bXPPdsn2efHvrsPyc8P3/cc88Nfnb++Gef3P+VF0aG6/paVpUdHhqprbCjoVSieMWrxQufGrpw/v7PLKhZsGDY0/8a99wL+y54ftILiw45Z+rIxa88CYDZZ7g9Zrj/SWI0tCci4bRhWwZtxJyr1w/8QhWDlITaCb0Zajv8DigJHzLLK5a+edapqQH9LCE2fOUbe+79B97YAw/YreBqJiWhtZaXXHLinXdUtDQWtSSH33tnzaEHFwkhSoTYf6z4+32jY4mxkURJJCmiMWHbImaF4pZIWMKyRH19SVP9sMceHLb/PkU33zI63DSwdl3J4mTZlX8snjdnJtBTmmi6hk4TkZRZ4jatfZYAcNdN02ZfPrKx/rg/X1NTXST6ilAvISqEKBeirwgVi9BPT6xItJRFUkURuyIarWhIVDVawy89o6RKiFIR6lsUqhCiSoiBJcUlInT5Hyb8/eEvX/TbHxNJ4qBozfCRMRraE2EiLX1NSkI5cH24xB60gkPIamhSrDzWWc3tCk7BcnR3u5z/whsn/WrRgGGvlpXt+O4x+qnHsWcXtA9JANasaZg2Y+jClyqam4fc9uex1X1L/venfW+cd9DsqyYf/pX+1b3FvL+OizeOXWmLSEJE7ZAdqYhFSuKWqE+IZGTo849+/agD+gysErfPG7uyZfiSNWLV+tK//r3P76b9iNtVDxmHaq2feuqp2bNnb9iwIX+LCkaHTnbTrEsOv//e8YmGAxY8V/XnP1XNurzftX+oufoP+8z6/ZQv7VPdq1zcfPvocHOfFYlQONrHsissuzRuVzz70OgbLj/osktHXnZlyXXXjbnqoqNG9S2bOKboiefGLHh19NnTRtcnwszvl0No+ACMhvZIFJAFJCT8NNoc7CK0gp1cWIgCFAXb4SwhFbsML2jPB7CzLf3kk03HH7OiUiwaXNp8zi/k0mVoYwDzn3rmjHNLW9YMs5dN/Pqh5ZMPqnwhdmD0rQGJTcMXvDDpa0eVz75y4Oq6SZFkRTghInbIivSxw33j0bJkpP+t1wybPLhsdO+Kof1D182dULd+3OJkqG5N+SuL+//m1yPrV9mf6/H67JBSnnnmmUKIkSNHzpkzZ/fuXYVfRVY/d865vV9ZPrI2WWolxZq1les3VTS0VG56e/KjTx02elzZtGlDo6kDa5NlkURRNNLbsorjKWEnRCo+aP2aiYmW6vjrReu2TLrpz4eMHVZ8w/UDYy394msHnXd+1YP3P4Sge9fw0TEa2iPhTtsQQq5TZa8Vx0L0fN4KL/AnVYHliQLe2rrubw+vOmJKTIjYsMkbL7yO7Ian594269KybWtHLrxzYs0AMWPW4NT6L6daRiVahsSahsTqh9ZZI1etrolEqyJxCgz3vwAAEjxJREFUEbVDVqRXLNK7ITbg0XuH7zNCzDiz+q6rDhs9MjT7vpHhlskrIwOiqYpUvOjCc8Xzzzz1uR2rz5zNmzdPnTo1CE/9+te/9vxzTwIugGfnv/Cz00tq1/WpTYpEXZ81tSPrVxSvs4viK8ZOObjfAQeLJasmRpPVkWipHS2OR0XcErFocTRaGbZLoxHRZIVS9aXPLpwwakTl975ftrpubCJWsmZN+R+uKL3t1hsDW0VDNzAaangfgowQzlkzu4AHViAoBVcGtqTUuGn3lde/NmnSsj5izaHj5x958MtX9tpRP2DuTeNCg8XdC37wwJ+POubL/Y74cu+zftlv+fKxiYbqZGP1ioiIJkXUKrbsIjsu4nb5khcnPvHgpAb7oGfvP2L4UHH5PcPqWvaxEkOX14p1TUUzpxWdc855jz32+N96APfcc88jjzzy+OOPn3zyyb169RJCVFaUnHTyCbF46uEHnjv13D6xTb3DMdEU6de8YlDTSvFWcugNl/WrKhXX3DA01jxstSXCdaFUrCxpiYQlYpGSaKR3OFYUi4k1dkmsbuiZZ1RV9Rb3PDQ6lhqWiBStbS79yw0l1/1xZpY/lGOs4d0YDTW8D/mxaiFeRBIRMYghNXwNVzOBJPvWi9unH5s4oPLR0WW1Vxbvbul/+VXDRY045PgBh42rPOaAfl/Zr7qmb/nRR5T/+4XBkURJpEFEUiJqhayEsOMhO9w3Hh2TTIxJ2eOemDN51Egx+28jwmvGrbLKVtli49pe182uET2PkpKS4uLi4uKi4Mf+1UOP/eYPLr+ypmFTtW2Jhtqy1IrQ+lRZeNGEQyeWfPUrvV5ZPrmuvjKcFKn60ni0KGGJuCVsKxS1iiJxYcdEk9X75QUH9e8rvn9C9WvWeLu+2qorWttUPueO8ll/+L92KU0ia/cwGmp4Xwoz/vwlsK/U0BpKs+87ynXhAtvRkepY+tC8s7722A2lbzcMv/Ki8aJYjD28760PTGxct39946Hz7ti/pn/x+b/qb9s1VkMokhJRW1hxYUfL7JXjo+EBVqKkITX4H3MmDB8i/nDv8NVNQ6Kp4tUxsbaxz6zLBk057KtnnHnuaT2AM84446yzzpo+ffpPfvKT6urqQECrBw64+qrrr/nD9b/5zeDmtdX1VqgxUpSoFfXxXnfeNGRY/9BvLx5clxodX1tcFxfxRFHcEomIiFvCtoVli3BChC2xtmHsFRfU9K8Sd94/OtI8ZGVUWOHiNY29b7+l4uprf+oon8w4tFsYDTW8N5xL+exi1UsMpZmIiYg0k1bK034WqhXaBXDPvD9fMavqjcYv3TBt3yIhZt98yJr1NdFkqK6hpKFl4ve+1nf/Yb3CqyZH40XRuIjGhGWLmB2KWWURq7jWLonH+v7r7klja8Tv/zpsdcMAq76kLiFSsX7nnysefvyBz/lwfIYQ0dKlS4877jghRFl52S/P+GU4FgHw0nOLT/9FRXPjgJa4SNaKlFVUXz/qR9/vNXJY2b9f/tLqeO/alIimhB0TsUhJPFIZi5bYlrBiIpoQYTsUWT3h8AOqvvbV3q/FRy5PFtfGhG2FWhr7X3d179tuOZd7rKnLx8ZoqOG9oXdoaGF5VJOvlKuVDxABkuFrOABw9yOPnnVhr7fWHvLQNQdXCXHzzQeujVXHY2JVUlhNlT87vmrysLIVK0bE6kvqosKKlVmRKitSasdENCHq7FBLw9AH/zJ69BBx3X2jrTUjVkVFvLE8vHzwtHOqXlz87Od8OD4rmPmWW24pLS0VQnz1q19d8MwCmS+IePX5l849tV99bERjXDRYYk1Dn1deGX/wIaXHHtd7dWTfcKIonAxZ9SJqhWLhPtbqgbFw75hdEo2JaFwk66sff2TguCHigvP7Rlv6hRuLV0VF1BaNjSMvuWjAfXfP/nw/9Rcao6GG94bAOmjUxl4ainy3vQNIBimwAnsA8OqqxWdML4rXDl300KRJo8TxJ/RNxQ5sbtgnGhsXjo38xmElxx5eHLZ7JZtFPNkrlRhu1w2PhfvZ0ZCdFNFYUTI6/J+37TtxhLjqrpHRphHRRCje0G/BoyOmTz3k7T0be8goSUp5xRVX7LPPPrfddtvu3bsBaCifMwC2btgy89dH/evxvi31RfUxsaZh5P13f2nIcHHxrNHR+KhoXETiIhIXllVi1w5qtCY0xodGI6URW4SjRS0tE264bvDYIUX33j2mrqGkLlEWiZfaqZJlr9XMmDZ4yUuPAUxkVkS7g9FQw/vB+YInAlPnsigQeOB5gAZ813eI0ox24A1389mXH/z4/QPfrP3q2eeMENXi7EtHPfnUtxf84/vnnDahf6WYe/N4O1EdiYtFr/b75yMj7MigeKwoZomIFYraFQ3xMU/eOW70YHHtvHHxNaMisXIrMfr2Pw696vKfA6x7zGJdR0fH1q1bg+tSScVKIk3wAFx92QV/+WOfdS39knGRsoZfd+XBxWXi7ocnxlMDLVtEbWHHhG2VRVcNfWnBuH8/M9QKlyUSoZhdFY+NOuXn/WsGl736yvhISkTjvWsjpbHGPk/8c59zz/iftl1vM2WZTa9ndzAaang/gpGnyo1H8wJaGJIGWcqUzSi13aU9WZAG5v5t1rUXD9yw/Gsvv3LwSdMGDRogyoUoF2LkoOJbbx4csUbGkr3tWO+zTguN6CMe+VtxY2NxIhYKR4vqouVJe9ATdw4YNURcfuvg5Nrhy1eWh8OHzvjlkLplj1LP6KFhZtd1g17PID7a8zylSSGb9nYBWPTi4zOmDV2xYlIk3Htt0+jzfl3dp1r889nhyVSVHS2xrSLbFslExYrF1UdNEYceKCyr3LZF3B4Ys0cfe2zppPGhJYv7JBtENFoRjlZHEuNmzx4997ZZAEAOkDUa2g2MhhreB9YgBVJgDVDX2XznLpMHeArybXhvgD0N7N7+5oUnH7T8n4cm6ifHmw54Zs74O2ePu+aa4Y/+Y3hq7YBIg4jES8KR/k8+OurWq/ddvWRSwq6IWUXhqEg1lsciZbUL+829Y9ATy8aE6/s3N4+57cbh1/7mJ6SyaeYeMs8McuEDBzyttfSVUgz4rmqVDK3Tl176v3fNGd9Qv2843Gv+U6Nuu2PgK8sqY3ZZLFIWi5TGbBGzi8MrB/z97uH33t03YocSKZGw+65eUfP3B2ru/9ug2lXlqbiI1hUl4jULX9j3V6eP37V9IwDpp2E8R7qF0VDD+0AaWhY0VIMUoArNTAQokIYkOFprUpp1BlnAff7BP8w+t2J18qCXUgOaGodsWFfTsG5YJFW1PBqKJktrw5VWsqShpbyxuSoe6xWLltnRIismYvUibovm2tLGxv5LmofUJnqvem3EOb/qs75+GYB2Qg/RUGYmItd1iYiIlNSsoJQr0ZHRLqAaG547/ZSaZUu/ZNm9k6nqhqb+0Xh5LBpKhMtj4bKYLWxbWOG+TamJTY0DI7aw48IKV1qRMXZ89Nq1wyO1pfGwSMWKw3UjZs4sXfCvG0BaS1baQ085xp8wRkMN7wMTSIM1mBlMgZTuvU1PDAfIakjAZ+XCARyZWT/n+uOvuWHQsobJdcl+VrK01hJ1tojESmprK+PWAMsuqQ2LeFLE4yJhi7glktHyaF2ZHRVNKWGlihYn+qy2x112adETj80AHCY43CPm8gGFuTwRaUksoaVU5Er2FTzAeeShKy/67YBweEoiMXxFrahvDCVsEY+UJO1SKyIiYRG3SqN1VXG7NB4Xkaiwo8UNiaqEXRGpFfF4UdSqiNo1N99RNfua/8lmt7CG8pgJWvUMW5dPGqOhho8B57acNJSG0rnvv0p3NF9xydG33zbOjh8YsSrrIiKeLE6kKiLh4rpVpYlY36RdEa0TMUukYiIRDcVW92qw+yUToVpLhFOVdcmJs2ZXzr7q2567Q2vylfJ78pZxp5OBJpAmcr0dc+6ceuklI+3Y4XXWgLqIiNlF4doS2ypOJcoSsaK4LRJxEY2IcFhEo8KKilhY1EdCyahIpgbYyQNvmVvzm8un7NpjSyl9j6DBCmxMR7qF0VDDx4Bz/UsMn6EA+B6RJMDb/NYr1/7ha9dcPTAcHd3QUhWOlS1bJaJxYadEXTQUtUPxuIjFiu1oScwqSyVLa+tCVrw4UT9k2YoDrri8+rabTmprfVv77HvKk76rMsw9cpTEucqIYPWEEETHkfTfvvEvP77ot+UR638aGsba0epErH8kXB6JlFhWKBwpsWLCignLFpZdZMdK7GjxmvrqhsTIVcsP+dOfxlx+xTc2b60DfNdzmNnzHCKvZ+zbffIYDTV8PBhBjVPgjccKyoV0NNDhuc03/uVHM6aXPfLI0HD0S4nGSdFUv3B9cbRBhJNilSVqI6Go1ceODY7V9020DFleO+q++2vOPWvkPx66RvtpAH4G6TYppad0mrhHJlUwwAySgesLgRTDVwCIaOsDf586beqQefOGrK4bYyeGxOsHhuPl4WTIaihaZYu6hIgkRSRZHElWxJODaldMeOrx/WecO+zmG07LpLcCWiqf4BFnlW5nzhIZ56buYDTU8DHIddQHNnkKgO+w085OK0Oy9DtIb1644KbfTjvsgqkj5v314GdemBxJTkqsHW43DUqurWlcOzFZv19t5ID5/x5/27wh580YPGP6EVbdQgDwoBx4DqRUSrvEWe6hOx4MDnoaMgxHgxTD8eD7wdnLWb3ywcsuPWz6jKpbbu/19HOj6mL71a/fz24eYzePTa0bn1o3aZU97tkXhz/w4PhLLxo47df7vPTCX1lmoUEEgpbUweggyjJpNt2e3cJoqOFjENiMctBbr4Lvu3SgXZAHVkzKB+B3uE8+Nm/GeT+eMWPStBnDpl048vdXDf7jnwZfesXo86cPn3Z+r3OmTbzwtyctW/ao8h0AIJAi0q7SbZraPL/V83rqXD6noT7gMFwNkoysD8eFyp9TiHYsX3bXpRf/9IJpX5p+fs2vzx59xayJ190w7pLLx5w/Y9LUqSPOPXvMhef/8PFHrku3vxE8RPqkSHmUJXaIPNJEPTV++uNjNNTwMaB8uVOwb88cjExJItgE6tzEBwCvqfGVxx674+57bpl312V33DLtjluvuv/+Oc8uuOuN163cE+pclz6zA2xnfhPYrbWje2z2eTCX51xrGEFrQDIkQTM07VXPufXNNfP/9cC998y5755rb7np3HlzZ9191+2PP3bP+jW1gF94RmLJkIqlgmYQaer8Oxo+OkZDDR8Dzncs5TzygrRlLnz1NZhz7qPv+o5Kv+tPnTqsgxhkB9gGbAHSXVz3eyTBsURBPEl1OeoU/FIWoloCfNa797pJAbleM4+RJjgaTHv9+ZSpD+0eRkMNH4/CxnFORnX+C+0zpIbUcAN/kryBXudgEwRoBktGu0a7htZAECXPIIbLcAHqanfSE+l0KmAGMTRDMwI3bGZwbs8pVwLFYJ+Rzae3+Lk+3c7yiQ5GmqE7/1Aq+KvtAdp78FHuPkZDDd2H32GOR4EEBhNPn6E0tAZpUK5SPz9IZWLt+0wOkAb2MLYRdhCyFPw+f8/O6z15HNrVqiB3EAr6R0F9Wb6bLG8Ro5mUzp2OglsYgAK8QixW7kyWmx4ooA3IfH6f8QuM0VBD9yFoCamCbyh1nRhS0GKv97rkpvpSSQoaR9kn7YCyQIY5y/A7ZbagoV2loydCuWhAdB3sB0dYF44Rk2bSnFfMnLQGCyPEXU5K3Hm2YwJLcH6ZJb+GYvioGA01dB+CknAUdK4GvOskncHBtBPQ4CA/hCAZUilfawqGTqzAPlh1XfEkQHVOVHNPo3qqkBLDY/i5nrAug8291BBpQgfBIejgJBQsk2gmgiS4zKrzJJcrpUgD24HtQBrMXcxiDR8No6GGjwMxNBViJN5r3JgLYtpLAHKhzDmppa4Cii4bVYXn6uELonqvj8/vuiDYVPIByV0WV/L31pwLue7yp8ntQwV+d7LzaQ0fHaOhBoPB0H2MhhoMBkP3MRpqMBgM3cdoqMFgMHQfo6EGg8HQfYyGGgwGQ/cxGmowGAzdx2iowWAwdB+joQaDwdB9jIYaDAZD9zEaajAYDN3HaKjBYDB0H6OhBoPB0H2MhhoMBkP3MRpqMBgM3cdoqMFgMHQfo6EGg8HQfYyGGgwGQ/cxGmowGAzdx2iowWAwdB+joQaDwdB9jIYaDAZD9zEaajAYDN3HaKjBYDB0H6OhBoPB0H2MhhoMBkP3+X8CYm01J/1g3QAAAABJRU5ErkJggg==" alt="" />
每个点左边是dfn值,右边是low值。(经过返祖边后则停止)
那么我们就可以用一次DFS求出所有割点了:对于dfs中的每个结点x,枚举它的相邻结点y:
1.如果y是x的父亲,那么跳过(不访问父结点);
2.如果y已经被访问过,那么这条边是非树边,即返祖边,用dfn[y]更新low[x];
3.如果y没有被访问,那么对y进行dfs,用low[y]更新low[x],并判断low[y]是否等于dfn[y],如果是,那么x的这样的子树个数+1。
对于以x为根的子树的DFS结束之后,判断x是否为割点,如果x不是根节点,那么如果这样的子树个数不为零,x就是割点(去掉之后父亲与子树不连通),如果x是根节点,那么x需要有两个及以上这样的子树。
例题
n个城市之间有通讯网络,每个城市都有通讯交换机,直接或间接与其它城市连接。因电子设备容易损坏,需给通讯点配备备用交换机。但备用 交换机数量有限,不能全部配备,只能给部分重要城市配置。于是规定:如果某个城市由于交换机损坏,不仅本城市通讯中断,还造成其它城市通讯中断,则配备备 用交换机。请你根据城市线路情况,计算需配备备用交换机的城市个数,及需配备备用交换机城市的编号。
第一行,一个整数n,表示共有n个城市(2<=n<=20000)
下面有若干行(<=60000):每行2个数a、b,a、b是城市编号,表示a与b之间有直接通讯线路。
7
1 2
2 3
2 4
3 4
4 5
4 6
4 7
5 6
6 7
第一行,1个整数m,表示需m个备用交换机,下面有m行,每行有一个整数,表示需配备交换机的城市编号,输出顺序按编号由小到大。如果没有城市需配备备用交换机则输出0。
2
2
4
一个单纯地求割点。
cpp:
#include<iostream>
#include<string>
#include<algorithm>
#include<cstring>
#include<cstdio>
#include<cmath>
#include<iomanip>
#include<queue>
#include<vector>
#include<ctime>
using namespace std;
const int maxn=;
int n;
int len=,linkk[maxn];
int ans[maxn],ind=,top=;
int dfn[maxn],low[maxn];
int root=;
struct node
{
int x,y;
}e[maxn]; #define up(i,j,N) for(int i=j;i<=n;i++)
#define Auto(i,z) for(int i=linkk[z];i;i=e[i].y) void init(int xx,int yy)
{
e[++len].y=linkk[xx];linkk[xx]=len;
e[len].x=yy;
} void dfnlow(int x)
{
dfn[x]=low[x]=++ind;
int son=,y;
for(int i=linkk[x];i;i=e[i].y)
{
y=e[i].x;
if(!dfn[y])
{
dfnlow(y);
++son;
if(low[y]<low[x])
{
low[x]=low[y];
}
if((x==root&&son>)||(x!=root&&low[y]>=dfn[x]))
if(!ans[x])
ans[x]=,top++;
}
else if(low[x]>dfn[y])
low[x]=dfn[y];
}
} int main()
{
/*freopen("2.in","r",stdin);
freopen("2.out","w",stdout);*/
//ios::sync_with_stdio(false);
cin>>n;
int x,y;
while(cin>>x>>y)
{
init(x,y);
init(y,x);
}
up(i,,n)
{
if(!dfn[i])
{
root=i;
dfnlow(i);
}
}
cout<<top<<endl;
for(int i=;i<=n;i++)
if(ans[i]==)
cout<<i<<" ";
cout<<endl;
return ;
}
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