皇上快溜 发表于 2023-2-13 18:00:47

对称判断

两个凸字形封闭线图形,二者点数线长完全一致,一个水平放置,像汉字水平放置那样,另一个不规则放置。请问如何判定二具有对称性?或者说是可对称的一对。
不是求二者之间那条对称轴,只判定它们的对称性

皇上快溜 发表于 2023-2-16 03:09:59

楼上的哥们做五金模的吧?早年间在模具论坛见过ID与同名的

liuhe 发表于 2023-2-13 19:50:18

你想要的是那种通用性算法代码,那可就很麻烦了,还不如先满足自己的工作需要。人工怎么判断对称性,那就用代码去代替人工实现。line和pl线组成的图形外形上一模一样,但是他们是一个东西吗?所以对于你来说,你如何判断的你的图形是不是对称的,代码只是代替你重复判断而已,判断条件你自己先确定。

guosheyang 发表于 2023-2-13 22:27:51

找两个图形的最近连线然后画出该线的垂直平分线,再将一个图形沿着该垂直平分线 镜像过去,再对“重合”的两个图形 进行overkill(可以加容差), 如果两个图形变更为一个,则最初的两个图形是对称的, 否则不是

皇上快溜 发表于 2023-2-13 23:58:58

谢谢二位,有点头绪了,OVerKil还是第一次知道

mahuan1279 发表于 2023-2-14 07:39:15

什么叫可对称的一对?任意一个都满足凸字形的对称性么?

梦想家-DING 发表于 2023-2-14 08:56:29

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00u1pZRzSPxtkDWjLgrPHtWSy+Y9GScWuR15IGNO34KunLtdv05bwRymtoUNGG3VCgkpkzLzZPeTli4O4Nr7vP/0jujFX7LRpw1vh2LRbfsWjRujXJbwkDmnZclXDlmm27ct4I5Tc0SNPO/5W0uAEbds7aPJqXuza+7jrvo/kyvs06lNcxrw6O377F4jsW6kMsGNhmQNNuW5x4EicGvg04b3zHYoeL0KDiDRvJzJmXHbCKGzGX+xq5WwPsbvNVG/etDbmrnzvnjTHm4lDfnnoX87sb0LRj+O6Gzb++YeeNUMxDg4o3ZCQzZ15sbPJyloGhETb8c9b1Slzna4qp51hi3a6pznsy4LwxehcHdd9T3VvrOd417c6JI4/i2JMB542Q99Cg4j/ESmbOvPS0oVhrHYNZG3dZ58VlHZfi3E+cnTfGXItDP+btb3J9lgFNO5bOsuQ6/Vhy3gjlOjRI085/0664AZt3ztoskZdM72jLNJcSsXbNfupKrrfl2uFxjJM4bPOirsSJgW8DmnbfseBCLBjYZsB5Y1ucnjyFBhVv2Ehmzrw84SnuwP36cnD1u9uuvj/vfXmX7xz5dt4Y8yAOOTzaF+ThTgY07Xi9k1dzzeHVeSOUh9Cg4s0aycyZF5udvJQ2cMU73a64Z+k4ur5aZWCbAeeNMU7isM2LuhInBr4NaNp9x4ILsWBgmwHnjW1xevIUGqRp59djixt4gup+nZmr0UircQ+Ocz5j5EVeJgMOj6MFcVATU034yMJWA5p2rGy14nWsTAacN0IWQoOKN1AkM2depmLzUX5qGZgaa8PHM+559vXOmJNrqCcGrjPgvDHGXhyuM6j+xf6uBjTt2L2rXfO+zq7zRij2oUGn/PC8ViySmTMvaznzPTkrbSDScJuPOavxV3qdrq+WGKhnwHljjLU41DOnvsW6FQOadiy3Ytk66ll23gjFOjRI066zX1W0keWsk57z8tyMe/XnnmNk7eqWgfcGHB7HGInDeyvqSYwY+GlA0+5nPPgQDwbeG3DeeB+jBUehQZp2mnbFDSxgdU/uGGCAAQZONeDwOJ4DxSHnedhZSF4YYIABBloy4LwR8hwadOqBeQmhZObMy1KufE2uGGCAAQbuasB5Y7QrDmr4rjVs3uwywAAD9zHgvBHKVWiQpp13OhQ3YPPNWZvyIi8MMNCSAYfH0bM4qOuW6tpaeGaAAQZyGnDeCOUlNKh4w0Yyc+bF5icvDDDAAAMtGXDeGD2Lg7puqa6thWcGGGAgpwHnjVBeQoM07bzTrrgBG23O2pQXeWGAgZYMODyOnsVBXbdU19bCMwMMMJDTgPNGKC+hQcUbNpKZMy82P3lhgAEGGGjJgPPG6Fkc1HVLdW0tPDPAAAM5DThvhPISGqRp5512xQ3YaHPWprzICwMMtGTA4XH0LA7quqW6tpY6nh+Ph58H/EzIAAO7DDhvhPbn0KBdiYk8OCUzZ14iuTRGLhlggAEGshpw3hhtioMazVqj5pXXpqZd3tyoG7nJasB5I2QzNEjTTke9uIGsG4155dwz5EVeGGAgYsDhcXQjDuonUj/G9O1G067v/Kt/+Y8YcN4IuQkNKt6wkcyceYkUpjFyyQADDDCQ1YDzxmhTHNRo1ho1r7w2Ne3y5kbdyE1WA84bIZuhQZp23mlX3EDWjca8cu4Z8iIvDDAQMeDwOLoRB/UTqR9j+najadd3/tW//EcMOG+E3IQGFW/YSGbOvEQK0xi5ZIABBhjIasB5Y7QpDmo0a42aV16bmnZ5c6Nu5CarAeeNkM3QIE0777QrbiDrRmNeOfcMeZEXBhiIGHB4HN2Ig/qJ1I8xfbvRtOs7/+pf/iMGnDdCbkKDijdsJDNnXiKFaYxcMsAAAwxkNeC8MdoUBzWatUbNK69NTbu8uVE3cpPVgPNGyGZokKadd9oVN5B1ozGvnHuGvMgLAwxEDDg8jm7EQf1E6seYvt1o2vWdf/Uv/xEDzhshN6FBxRs2kpkzL5HCNEYuGWCAAQayGnDeGG2KgxrNWqPmldempl3e3KgbuclqwHkjZDM0SNPOO+2KG8i60ZhXzj1DXuSFAQYiBhweRzfioH4i9WNM32407frOv/qX/4gB542Qm9Cg4g0bycyZl0hhGiOXDDDAAANZDThvjDbFQY1mrVHzymtT0y5vbtSN3GQ14LwRshkapGnnnXbFDWTdaMwr554hL/LCAAMRAw6PoxtxUD+R+jGmbzeadn3nX/3Lf8SA80bITWhQ8YaNZObMS6QwjZFLBhhggIGsBpw3RpvioEaz1qh55bWpaZc3N+pGbrIacN4I2QwN0rTzTrviBrJuNOaVc8+QF3lhgIGIAYfH0Y04qJ9I/RjTtxtNu77zr/7lP2LAeSPkJjSoeMNGMnPmJVKYxsglAwwwwEBWA84bo01xUKNZa9S82GSAAQbaMeC8EcplaJCmnXfaFTdgc85Zm/IiLwww0JIBh8fRszio65bq2lp4ZoABBnIacN4I5SU0qHjDRjJz5sXmJy8MMMAAAy0ZcN4YPYuDum6prq2FZwYYYCCnAeeNUF5CgzTtvNOuuAEbbc7alBd5YYCBlgw4PI6exUFdt1TX1sIzAwwwkNOA80YoL6FBxRs2kpkzLzY/eWGAAQYYaMmA88boWRzUdUt1bS08M8AAAzkNOG+E8hIapGnnnXbFDdhoc9amvMgLAwy0ZMDhcfQsDuq6pbq2Fp4ZYICBnAacN0J5CQ0q3rCRzJx5sfnJCwMMMMBASwacN0bP4qCuW6pra6nj+fF4FP+ZUC7r5FKcxbmWAeeNkLXQoOIbtGTmzEutYnYf+WeAAQYYqGHAeWN0Jg7qrUa9uUdbzjTt2sqn+pTPGgacN0LOQoM07fx6bHEDNTYN98hZ//IiLwwwUMuAw+NoTRzUXK2ac592rGnatZNLdSmXtQw4b4SshQYVb9hIZs681Cpm95F/BhhggIEaBpw3RmfioN5q1Jt7tOVM066tfKpP+axhwHkj5Cw0SNPOO+2KG6ixabhHzvqXF3lhgIFaBhweR2vioOZq1Zz7tGNN066dXKpLuaxlwHkjZC00qHjDRjJz5qVWMbuP/DPAAAMM1DDgvDE6Ewf1VqPe3KMtZ5p2beVTfcpnDQPOGyFnoUGadt5pV9xAjU3DPXLWv7zICwMM1DLg8DhaEwc1V6vm3Kcda5p27eRSXcplLQPOGyFroUHFGzaSmTMvtYrZfeSfAQYYYKCGAeeN0Zk4qLca9eYebTnTtGsrn+pTPmsYcN4IOQsN0rTzTrviBmpsGu6Rs/7lRV4YYKCWAYfH0Zo4qLlaNec+7VjTtGsnl+pSLmsZcN4IWQsNKt6wkcycealVzO4j/wwwwAADNQw4b4zOxEG91ag392jLmaZdW/lUn/JZw4DzRshZaJCmnXfaFTdQY9Nwj5z1Ly/ywgADtQw4PI7WxEHN1ao592nHmqZdO7lUl3JZy4DzRshaaFDxho1k5sxLrWJ2H/lngAEGGKhhwHljdCYO6q1GvblHW8407drKp/qUzxoGnDdCzkKDNO280664gRqbhnvkrH95kRcGGKhlwOFxtCYOaq5WzblPO9Y07drJpbqUy1oGnDdC1kKDijdsJDNnXmoVs/vIPwMMMMBADQPOG6MzcVBvNerNPdpypmnXVj7Vp3zWMOC8EXIWGqRp5512xQ3U2DTcI2f9y4u8MMBALQMOj6M1cVBztWrOfdqxpmnXTi7VpVzWMuC8EbIWGlS8YSOZOfNSq5jdR/4ZyG9g2Kf3/iuv+fPaW46cN0aT4qA2M9b+R+CfjOtodU6adnX3jb1nLvt63fy0Wudnr4vLkMvQIE0777QrbuDsDcL1cta6vNwnL8+HxUju5teIjDfmPl7ukiuHx9GUOKitDDX73KOLzOmMa0Tua4waOtvA/MwU3aPPuMbZ63K9vmslarlzNznRSGbOvHReLBqVmtXdGZgf9s6u//m17fn2/LN9bb0ee6M9cVCDW2vm7NfNm2xnX3u43vyfEtd3TbVzpoH52ejM607XKn396T4+qotXBpw3QjZCg4r/4CqZOfPyqvh8Xb4YaMfAVQe6q+7Lbjt2I7l03hjzLw5910Gkdo6MuaqRdtV9j8TK2PZr86rzz1X3Zbp902s5dt4I5T80SNPOO46KG1grdt/LWbfycu+8TIe3DHnMNJcM8TCHcrXl8DjGVhzKGVO/37GdmmYZYpJpLhniYQ7fTmvFItNZJ9NcasXffeqbH2LuvBGKe2hQ8YaNZObMi81NXhho00DWPTfrvNRBO3XA2JhLcWjHdNb9aWiSZZxb1nlljJU5nbdPZN1zs86LvfPsXR1LxkK5DA0q/tCVzJx5ubrI3Z8LBs41MOy12ffbO8yRy3Nd1oxndv+1YiEO9zVcy0j0Pnd4R9sd5hiNv3G5avsOZ5o7zJHrXK735MN5I5S70CBNO78eW9zAnuL32px1LC9583LHA5mHfF5Pd651rkZX4qC+StTx3d7Fpnm3rw4ej4efB3b8THi3ffZu8y2xh7nmvj1hS7y4CsU0NKj4Bi2ZOfOypRC9Ru4YyGtg2FvvvL/eff5qI19t3LkezvQkDvlsnpnf2te6e/Pr7vOvlW9Nu237xp3PLneee606cJ9tdTDFyXljX7y+4hYapGm3429VJqA+5rQmL/LSi4GWHpItraUXf1nXydL4DBAHz8KzavRu765bW3dLa1lbZ/R7mnbv941W9tZW1hG1btx761tjxFIolqFBmnaadsUNbC18r8tZw/KSKy8tPiBbXJO6qV83HI0xF4f69lqs9xabXC2u6Sx7mnbr+0Zr+2pr6zmrDlxnvQ6e48PRvnh9xS80qHjDRjJz5uW56PxZnhi4h4FW99RW16Wu6tUVQ2OsxaGeuVbru9XmVqvrOsOhpt3rfaPVPbXVdZ1RD67xuh7msWFoW5zmMfv19Ifizbit95PMUDLT5G9rnr1Onhkob6D1/bT19amRsjXCzxhfcSjrrPU6br2x1fr6oj417Zb3jdb309bXF60H45br4Tku/GyL01PcQoOKN4ckM2denvAUd+B+HDBwzEAve2kv61QPx+phKX7sjDEVh/NtLXlr8Wu9NLR6Weceo5p2/+4bveylvaxzTz147b/1sBQTdrbF6Sl2oUHFmzWSmTMvT3iKO3A/DhiIG+htH+1tvWojXhvz2HEzxlEczvE0t9XD5701snpb7zvDmnY/943e9tHe1vuuHnz/Zz28igc32+L0FL/QoOLNGsnMmZcnPMUduB8HDMQM9LqH9rpudRKrkyFuzIyxE4e4oV7rr9cGVq/rXnKuafe9b/S6h/a67qV68LXveliLBTPb4vQUw9Cg4s0aycyZlyc8xR24HwcM7DfQ+/7Z+/rVzL6a4WWMlzjsc9N7nfXeuOp9/ZN/TTv752DB88PzY9oTtnzkJeQlNKh4s0Yyc+ZlSyF6jdwxcK2B3vfP3tev/vbVHy9jvMRhn5ve66z3plXv65/8a9rZPwcLnh+eH9OesOUjLyEvoUGadr9yxm1LoXiN3DHQrgEPwjG34tCu8bP3L1bUzNmmWr+ehtVXzXwMvYq+91pNOw2rqQY8S/veCyYHWz6yErISGlT8ISWZOfOypRC9Ru4YuMaAffNn3MXjZzzU5XI8OBnjIg7LPtTNz7ho2InHvCZ6b9rZN5/qofMm9rw2fP7Txjwe6uZ1bOZxevo8NEjTzqZU3MATVPdjjoE3BjwEfz7PxONnPOypy/HgZIyLOCz7UDc/46JpJx7zmtC0++lhHpseP/cc4WGLe05CTkKDiv/wLJk587KlEL1G7hiob8CeuRxzcVmOixr9jgsjYyzE4duE+liOhYaduDzXRs9NO3vmi3p48xfMz4b8eTmOLcdF7YRyHhqkaWdDKm6g5c3K2nLuO3fOiwfga1Ni8zo2dzZ/1tz5GH2Igzp5V1Oadq+NiM3r2Lxzddfv2zNf51xsXsfmrt7PnDcfIR+hQcUbNpKZMy9nFqxryTED5xiwX1PE5AsAACAASURBVK7HUXzW49N7HfIx+hAHdbK2F2hKrfsQn/X4rNm64/fsl+v5Fp/1+NzR/Jlz5iPkIzRI08477YobOHNzcK2cdS4v5+TFw+99HMXofYx6rUc2RhvioEbW9gBNqfc+xOh9jNaM3el79sv3uRaj9zG6k/kz58pGyEZoUPGGjWTmzMuZBetacszAcQP2ym0xFKdtceqxJtkYbYiDGnlV/5pR22yI07Y4vXJ2l6/bK7flWZy2xeku7s+cJxshG6FBmnbeaVfcwJmbg2vlrHN5OZ4XD75tMRSnbXHqsSbZGG2Igxp5Vf+aUdtsiNO2OL1ydpev2yu35VmctsXpLu7PnCcbIRuhQcUbNpKZMy9nFqxryTEDxw3YK7fHUKy2x6qn2uRidCEO6uNV3WtGbbchVttj9cpb9q/bK7fnWKy2xyq7+zPnx0XIRWiQpp132hU3cObm4Fo561xejuXFQ29f/MRrX7x6qU8uRhfioD6Wal4Tap+L3uL1eDy6+nnAPrmzHvy83FV9LD1Dlr6mjvbV0VcMQ4OKA5TMnHlZKjxfkysGrjFgn9wXd/HaF69e6pqL0YU4qI+lmu+tCbUUgz1f6y1emnb2jbX68FzhY8kHFyEXoUGadv7moLiBpSL3tZz1Ki/X5MVDb1/cxWtfvHqpay5GF+KgPpZqvrcm1FIM9nytt3hp2tk31urDc4WPJR9chFyEBhVv2EhmzrwsFZ6vyRUD9Q3YI2MxF7dY3FqucSZGE+KgNp7rvLcG1PP6o3/uKW49Ne3skbE9UtxicYvuP3cYx0TIRGiQpp132hU3cIdNxxxz7h895MUDL2ZP3GJxa7mmmBhNiIPaeK7znppPz2s/8uee4qZpZ994VyueLYw8G2EiZCI0qHjDRjJz5uW56PxZnhi4xoA9MhZ3cYvFreU6Z2I0IQ5q47nOe2o+Pa/9yJ97ipumnX3jXa14tjDybISJkInQIE0777QrbuC5wP05Z63KyzV58cCLx13s4rFrsd55GD2Ig7p4ru+emk/Paz/6515ip2ln39hSK54vnMyd8BDyEBpUvGEjmTnzMi84n8sRA9cYsD8ei7v4HYtfa3XPw+hBHNTFvLZ7aTrN13zm573Er5emnf3x2P4ofsfid+belOFaPIQ8hAZp2nmnXXEDGTYVc8i5P/SeFw+7Yy7F71j8Wqs/HkYP4qAu5rXdS9NpvuYzP+8lfpp29o0tdeP5wsncCQ8hD6FBxRs2kpkzL/OC87kcMXCNAfvjsbiL37H4tVb3PIwexEFdzGu7l6bTfM1nft5L/DTt7Btb6sbzhZO5Ex5CHkKDNO280664gXlx+zxnncrLNXnxsDsWd/E7Fr/W6p6H0YM4qIt5bffSdJqv+czPe4mfpp19Y0vdeL5wMnfCQ8hDaFDxho1k5szLvOB8LkcMXGPA/ngs7uJ3LH6t1T0PowdxUBfz2u6l6TRf85mf9xI/TTv7xpa68XzhZO6Eh5CH0CBNO++0K25gXtw+z1mn8nJNXjzsjsVd/I7Fr7W652H0IA7qYl7bvTSd5ms+8/Ne4qdpZ9/YUjeeL5zMnfAQ8hAaVLxhI5k58zIvOJ/LEQPXGLA/Hou7+B2LX2t1z8PoQRzUxby2e2k6zdd85ue9xE/Tzr6xpW48XziZO+Eh5CE0SNPOO+2KG5gXt89z1qm8XJMXD7tjcRe/Y/Frre55GD2Ig7qY13YvTaf5ms/8vJf4adrZN7bUjecLJ3MnPIQ8hAYVb9hIZs68zAvO53LEwDUG7I/H4i5+x+LXWt3zMHoQB3Uxr+1emk7zNZ/5ufi1VU/2x2P5FL9j8Ttzb8pwLR5CHkKDNO280664gQybijnk3B96z4uH3TGX4ncsfq3VHw+jB3FQF/Pa1nQ65kH8jsVvbjHD5/bHY/kUv2Pxy1ADZ86Bh5CH0KDiDRvJzJmXMwvWteSYgZgB+2MsbpM38TsWvymOrXzkYfQgDupiXtOaTsc8iN+x+M0tZvjc/ngsn+J3LH4ZauDMOfAQ8hAapGnnnXbFDZy5ObhWzjqXl3hePPDETv3EDcxjp5bGOIrDOZ7mtu7+ucZT3ITYxWOXtW7skfGcil08dlnr4ci8eAh5CA0q3rCRzJx5OVKgxsopA+cZsEfGYilusbi1XLtMjCbEQW0817nGU8yEuMXi9uwv25/tkbG8ilssbtn8nzkfJkImQoM07bzTrriBMzcH18pZ5/ISz4sHXix24haLW8u1ysRoQhzUxnOdaz7FTIhbLG7P/rL92R4Zy6u4xeKWzf+Z82EiZCI0qHjDRjJz5uXMgnUtOWYgbsAeGYuduMXi1nKtMjGaEAe18Vznmk8xEz3F7fF4FP+Z8NnlVX+2RwbrwRtduqmRrbWplkK1FBpUHJ9k5szL1mL0OvljoLwB++T+GIvZ/pi1XstMjCbEQW0s1XpPDail9Ue+1lPMemraDRbsk/v3STHbH7PIvnOnMUyETIQGadr5W4PiBu60+Zhrzn2k9bx46O1zJ1774tV6/Uzr42J0IQ7qY6qJ+ceeGlDzdUc/7y1emnb2jbVa8VzhY8kHFyEXoUHFGzaSmTMvS4Xna3LFwDUG7JP74i5e++LVS11zMboQB/WxVPO9NaGWYrDna73FS9POvrFWH54rfCz54CLkIjRI08477YobWCpyX8tZr/JyTV489PbFXbz2xauXuuZidCEO6mOp5ntrQi3FYM/XeouXpp19Y60+PFf4WPLBRchFaFDxho1k5szLUuH5mlwxcJ0Be+W22IvTtjj1WMtsjDbEQY28qv/eGlGv4vDu6z3Gqbem3WDAXrltrxSnbXF6t6+0+H02QjZCgzTtvNOuuIEWNylryrnf3DkvHnzbTInTtjjduRaic2djtCEOauRVDfXYjHoVi7Wv9xgnTTv7xqua8Exhg41TDZx6sdMaOQo9Z15eFZ+vyxcD1xmwX76PvRi9j1GvNczGaEMc1MjaHtBjQ2otHkvf6zFGPTbthtzbL9/vl2L0PkZL+0gPX2MjZCM06LTm3CuYkpkzL6/y5evyxcB1BuyX67EXn/X49F67fIw+xEGdrO0FPTak1uLx/L1e46NpZ994roXhz54nXCy5mL7GR8hHaJCmnV+PLW5gKmwfc9aovOTKiwfg63yIzevYqGM/XEwG1Ik6mSy8+thrY+pVPOZf7zU2vTbthtzbM1/vmWLzOjbzfaPXz/kI+QgNKt6wkcyceel1c7FuHrMbsGcuGxWX5bhk91xzfoyMRsRBrbyru14bU+LyujY07V7H5p2bVr/vWcLEO9uMhIyEBmnaeaddcQPvCt73c9auvFyXFw/Bn7EXj5/xUJvL8eBkjIs4LPtQNz/jonEnHvOa6LlpN8TBvvlUD34+9vPxBgPq5mfdzPfUlc9Dg4qDlMyceVmBVNyEezPBwLoB++bP+IjHz3ion+V4cDLGRRyWfaibn3HRtBOPeU1o2v30MI9Nj597jvCwxT0nISehQcUbNJKZMy9bCtFr5I6B6wzYO8fYi8N1Bu9W/6yombuZvXq+GndfNfMxvNGq772296bdkH/PEM+Q3veBvetXM6HnRmhQ8YeUZObMy96i9Hp5ZKC+AfunQ7S621536mWMlThsN6O+fg19u+I/C2SPsxj8+tC0s39OdeoZ4hkyWXj3kZWQldCg4g9qycyZl3dF6PvyxsD1BnrfP3tfvxrcV4O8jPESh31ueq+z3htWva+/d//P6+99/+x9/c8e/Hn9ecrLenxe+AkN0rTr/O3wLzAVd+G+OetVXvLlpecHYs9rV4v7a5GXMWbisN9O7/XWc+Oq57X37v7V+nveQ3te+ysPvv76mcrL69isuAkNKt6ckcyceVmBVNyEezPBwHYDve6hva5bbWyvjedYMTPGThzihp5N9fLnXhtXva67F9fRdfa6h/a67qgT4/wnbIIGch5SbAA58xJEpqHnnZkMXGBg2Ed72Ut7Wqt9+NznYy818s6NOJzr6l28W/n+0MAa/mllPWvr+FpqF2tdi4Pvvd4rejqL9LRW5l+bj8TGeSMUz9Cg4g8sycyZl0hhGiOXDFxroPX9tPX1qZ+y9cPPGF9xKOus9TpuvXHX+vpa91l7fa3vp62vr7aX3u7HT+i8ERqkaXfBu2Z6K2jrzVmb8nLPvLT6gGx1XeqsXp0xNMZaHOqZa7W+W21stbquVh1mWVere2qr68ripod5MBQ6b4QGadpp2hU30MOmZY05958W89LiA7LFNbVoL/uaOBr3YXHwPDqjVltscLW4pjNyPVzj8Xj4eWDlZ8LW9tXW1nNWHbjOvucnR/vi9eUrNKj4Bi2ZOfNiU5IXBu5rYNhXW9lbW1mHerq+nlgacyAO11tsZT9opck1rGP4p5W8lFiHpt37faOVvbWVdZSoA9d8XwfzGLG0L15fsQsNKv4Ak8yceZkXnM/liIF7Ghj217vusXeeu3rJWS93rYWzPYlDTp9n57nW9b76XcV/XiixnjvPvUQ81q6pabdt37jz2eXOc1+z63vb7JaIk/NGKPahQcUfwpKZMy8lCtc15ZqBawzcbZ+923y5vsb13rhzNeZJHO7hda/vq19/t3eq3W2+V+dX027fvnG3ffZu8726Htx/Wz1wtS1OT55CgzTtVv77BU8BLh4r98tpWF7k5Q4Ghgdn9ofnHeZ4h1yb4/KelN1/rbyJw7KPWvFv+T53eOfaHeaY0Yim3f594w5nmjvMMWM9mNO2enDe2BanJ0+hQcUbUZKZMy9PeIo7cD8OGKhjIOMBLeOceKzjsWacnTfGnIpDe7Zr1tGWe2VsjGWc05ZYZnmNpl1838h4xsk4pyzWzSNu/Tl2zhuhWIYGFW/WSGbOvDwXnT/LEwNtGchwYMswB67bcr2WT+eNMdfi0I/5tXqo8b0MjbIMc6gR69L30LQ7vm9kOPNkmENpq65/3OpZMXTeCOUiNEjTzq/HFjdw1sbgOjlrXF5y56X2AW66nwd5bhct1i1zozlxUHu16/uKxtkV96wd15r307Q7b9+YzkE183fFPWuuz73O83lmLJ03QnkJDSresJHMnHk5s2BdS44ZyG9gOtBNH8/M2XRN+31+B2fmPdu1+Bv9iYM6vKo2p0ba9PHMeUzXnD6eeW3X+vWhaXf+vjE/G529L5e8tno430KrMT3bdatxelpXTmCSmTMvT3iKN2/djwMGchk4cuA7MpaDXA5ayofzxmhLHNRYlrqeGmzTxz3zmsZMH/eM9dr9NaBptz9me50dOTsdGbt3nl5f3kIrMXbeCFkJDSrerJHMnHlpZbOwDr4YOMfA84Fw7c9ifk7MxfHcODpvjPEUh3NdqdPz4jk14LZ8FPfz4r4llpp2deM95GTtnPX8vS059Jr6Oew95s4bIXOhQZp2/pt2xQ30vqFZf869SV7khYG2DDg8jvkUh7Zc26fks4YBTTvOajhzj7acOW+E8hkaVLxhI5k582LTlBcGGGCAgZYMOG+MnsVBXbdU19ZSx7OmXZ048yzOLRlw3gh5Dg3StPNOu+IGWtqcrCXnPiMv8sIAAw6PowFxUAv2Qwb2GtC0Y2avGa9nxnkjZCA0qHjDRjJz5sVGKy8MMMAAAy0ZcN4YPYuDum6prq2ljmdNuzpx5lmcWzLgvBHyHBqkaeeddsUNtLQ5WUvOfUZe5IWBtg0MB8Mt/3LwFacN/6V/sWq7ZuRXfhlggAEGoga2nLk07UK+QoOKN2wkM2deogVsnHwywAADDNQyMB0aa92vhftsPXdNfb0W1mwN9iQGGGCAAQaOG9hz7hrOEWK+O+a7B1QJ8tbDo4TnzJ+8yAsDDDDAQG0Dew6NteeW/X57z12ad+o7u2nzY5QBBhgoayBy7tK0C+UkNKh4427v4VFB5syjvMgLAwwwwEBJA9OB0bnhmLNo/KbmnUP4sfiXrBHXlhsGGGCAgbMMHD13OS+ELIYGadr5b9oVN3DWxuI6OWtcXuSFAQaOGJgOjUeuYey3wWjTbh7DqYE3/5rPv2MsFmLBAAMMMHBXA2eduzTtQjUQGlS8YXPG4fGuBWHeOU3Ki7wwwAAD1xs469Aolz9zeea5S/PuZ2xZEw8GGGCAgbsaOPvcpWkXqoXQIE0777QrbuCuG5t559xT5EVeGLi/gTMbSzz89FAitg7mP2PMnHi0ZuDxePh5wM+EDDRswNkgzXMrzUR+FHwJIK09KK0np115kRcGGGDgfAPOBefHdO60VHw17srmbZ5Dn4t1bQOadszVNud+9cw5F9SL9QbXqSbzX+OuFJINAflvDl6b04a8yAsDDDDQlwFngvL5LhVjTbvyubMfivFVBjTt2LvKnvuWt+dcUD7GOxynmsx/DbNSSHYE5r+5GJPTiLzICwMMMNC+AeeBOjkuGWeNuzo5tB+Kc20DmnbM1TbnfnXMORPUifMOz+km9NksKwllR3A07hr+HX0Octa+vMgLAwxMBpwF6lkoHeuhcTf8M+XWx3q5FWuxLmVA046tUrZc9xpbw1mgxnlAfnfnd/eAKgeu0lhAyZl3eZEXBhhggIHBgHNAXQe14q1xVzev9lPxLmlA046vkr5cu64v54C68d7pO+fkaqHZGawqDUtzymlSXuSFAQYYqGPAGaBOnOeea8Zc465+fue59rn4n2VA046lsyy5zrWWnAGujf8G/zknWBPOhiBp1vk1WQYYYIABBioZcAaofzarGXNNu/r5ddYV8xIGNO24KuHKNeu7cgaoH/OdznNOsCacnQHzQ1ulH9rkJWdtyou8MMBASQOe/9f4qh13jbtr8lyydl27v5xq2vWXc3XeXs49/2+R05yTrI3HBpTTgbzICwMMMNCPAc/+63J9Rew17q7Lt31V7M8woGnH0RmOXOM6R57918V+p/ucE70C0M7Aecedd9wxwAADDDBwogHP/uvOZFfEXtPuunw784r9GQY07Tg6w5FrXOfIs/+62O90n3OiVwDaGTg/qJ34g5rY56xDeZEXBhioZcBz/1prV8Vf4+7avNeqb/dpM8+adm3mVb32kVfP/VvlOedkr0Jkk8rpQV7khQEGGGjXgGf+9bm9Mgcad9fn3/4qBxEDmnbcRNwYc70bz/zrc7CzDnJO+EpIOwPoHXfecccAAwwwwMABA57515/FrsyBpt31+Xf2lYOIAU07biJujLnejWf+9TnYWQc5J3wlpJ0B9IPagR/UxDpn/cmLvDDAQC0Dnvc5rF2dB427HA5q1b37tJFvTbs28qge+8qj5/0t851z0ldjsnnldCEv8sIAAwy0ZcDzPkc+r86Dpl0OB/ZXeWCAAQbaNuB5f8v85pz01ZhsVjldyIu8MMAAA20Z8LzPkc8MedC4y2HBHisPDDDAQLsGrn7ee9aHbIUGFf+V0Ksx2ahyupAXeWGAAQbaMeBZnyeXGXLhIJ/Hg31WLhhggIH2DHjW3zanOSeeAZSNKqcNeZEXBhhgoA0DnvV58pghF5p2eTzYY+WCAQYYaM+AZ/1tc5pz4hlA2ahy2pAXeWGAAQbaMOBZnyePGXKhaZfHgz1WLhhggIH2DHjW3zanOSeeAZSNKqcNeZEXBhhg4P4GPOdz5TBLPjTucrmw18oHAwww0IYBz/lb5zHn5LOgsknl9CEv8sIAAwzc24DnfK78ZcmHpl0uF/ZZ+Vgz8Hg8iv93ztfu73t8MrDdgOf89lgldJVz8llQJUyYh+OvnGZZkRcGGGBguwHP+e2xquEqSz407XK5qGHPPe6bc027++ZO3fWXO8/5W+c85+SzoLKh5fQhL/LCAAMM3NuA53yu/GXKh8ZdLhv2Wvl4ZUDTjo1XNnw9n40sz3nP+JCN0KDi7/bKgsqGk9OHvMgLAwwwcF8DnvH5cpcpJw70+XzYb+VkyYCmHRdLLnwtnwvP+Hw52VknOReQCdbOgBZvaJpPTrPyIi8MMMDANgOe8dviVNNTppxo2uXzUdOie90n/5p298mVuuo7V57xt89/zgVkgmWTy2lEXuSFAQYYuKcBz/h8ecuUE027fD7stXKyZEDTjoslF76Wz4VnfL6c7KyTnAvIBGtnQL3Tzv8oggEGGGCAgRUDnvH5zl6ZcqJpl8+Hs7CcLBnQtONiyYWv5XPhGZ8vJzvrJOcCBljDg2Dvv68Wv/c689ff/ZrD/Ofr2fv53de/d73z1/e89iEOPa/f2pefDfP62Pu5mP4b070xnL/+LvEc5vw81+nwOF/P3s+frzn9ee91ptdP43v9OOUkw/o17f7dKzLkxRzk5dnAsH8+f82fOWEgnwHP+Hw52VknOReQCdbOgHp4rby7Qixz1pu8yAsDDNQ04Bmfz1umnGja5fNRc39wr/vkX9PuPrlSV33nyjP+9vnPuYBMsGxyOY3Ii7wwwAAD9zTgGZ8vb5lyommXz4e9Vk6WDGjacbHkwtfyufCMz5eTnXWScwGZYO0MqHfaeacdAwwwwAADKwY84/OdvTLlRNMunw9nYTlZMqBpx8WSC1/L58IzPl9OdtZJzgVkgrUzoH5QW/lBTSxz1pu8yAsDDNQ04Bmfz1umnGja5fNRc39wr/vkX9PuPrlSV33nyjP+9vnPuYBMsGxyOY3Ii7wwwAAD9zTgGZ8vb5lyommXz4e9Vk6WDGjacbHkwtfyufCMz5eTnXWScwGZYO0MqHfaeacdAwwwwAADbwx4zuc6f2XKh6ZdLhvOwfLxyoCmHRuvbPh6PhtZnvOe8SEboUHFfxjJgsqGk9OHvMgLAwwwcG8DnvO58pclHw7zuVzYZ+VjzYCmHR9rPnwvlw/P+Vz52FkfOSefBdXOYBZvZppPTq/yIi8MMMDAPgOe8/viVdpXlnxo2uVyUdqd68s3AwwwUMeA53ydOBfynHPyWVAVCrrm3ptfmxL3nHUpL/LCAANnGfCcz2UpSz407XK5OKveXUdeGWCAgWsNeM5fG/+D/nNOPguqg8HVnNOcY4ABBhhg4IUBz/o8Z7AMudCwy+PB+VcuGGCAgfYMeNbfNqc5J54BlI0qpw15kRcGGGCgDQOe9XnymCEXmnZ5PNhj5YIBBhhoz4Bn/W1zmnPiGUDZqHLakBd5YYABBtow4FmfJ48ZcqFpl8eDPVYuGGCAgfYMeNbfNqc5J54BlI0qpw15kRcGGGCgHQOe9zlyeXUeNOxyOLC3ygMDDDDQtgHP+1vmN+ekr8Zks8rpQl7khQEGGGjLgOd9jnxenQdNuxwO7K/ysMfA4/Hw32x98d9s3RNHr1V3NQ143t/SW85JX42pZuG4V06D8iIvDDDAQB0Dnvl14rzm+eocaNpdb2DNh+/Jz5IBTTsullz4Wn4XVz7zPe9DPkKDiv+typWQbDQ5TciLvDDAAANtGvDMvz6vV+bAAf76/Ntb5SBiQNOOm4gbY65345l/fQ521kHOCV8JaWcAizcwzSenUXmRFwYYYOA8A57758Uy4vLK+GvaXZv7iBdj5GwwoGnHgb3gvgaueu575ofMhAYVb1RdhcjGk9ODvMgLAwww0LYBz/1r83tV/B3er827fVX8jxjQtOPniB9jr/XjuX9t/Hf6zznZqxDtDF7x5qX55PQpL/LCAAMMnG/As//8mG51ekXsNeyuy/dWF14nR2sGNO34WPPhe/l9ePbnz9FXHeWc6BWAbCw5LciLvDDAAAN9GPDsvy7PV8Re0+66fNtTxf4MA5p2HJ3hyDWuc+TZf13sd7rPOdErAO0MnHfZ+V+cM8AAAwwwcLIBz/9rzmW1465hd02enXXF/UwDmnY8nenJta7x5Pl/Tdx3es85ydp4dgbND2kn/5Am/jnrUF7khQEGrjDgDFDfXc2Ya9jVz+8Vdeye7edZ0679HKvjPnLsDJA+zzknWBOOzSinAXmRFwYYYKBPA84A9fNeM+aadvXzay8V8xIGNO24KuHKNeu7cgaoH/OdznNOsCacnQHzLjvvsmOAAQYYYKCwAeeAuuezWvHWsKubV2dc8S5pQNOOr5K+XLuuL+eAuvHe6Tvn5Gqh2RksP6QV/iFNPnLWo7zICwMMXGHAWaCeu9KxHpp1wz9XOHLPeo7Euq9Ya9r1lW/13X6+h7NAjfMAS7st7R5Q5cBVGgsoOfMuL/LCAAMMMDA34DxQx0PJOGvW1cnhvG58LuY1DGjacVbDmXvUd+ZMUD/mb5ynm9BnU7AklDcBqdKUNIec7uRFXhhggIF8BoYzgXNB2byUiq+GXdm82a/E90oDmnb8XenPvcv6cy4oG9+dflNN5r+GWSkkO4Pz33yMy+lEXuSFAQYY6MeAs0G5XJeIrYZduXzZ98Q2gwFNOw4zODSHcg6dDcrFdqfbNBP50SArAWRnYH7Mx9icTuRFXhhggIG+DAznA2eE83N+ZkyHZt3wj9o8P09iKqaZDGja8ZjJo7mU8Xj2ucv5IJSn0KDiB7EzD48KOGeO5UVeGGCAAQaiBs4+REbn0cq4M85dY6tOs64VE9Zhf2aAAQYYmAycde7StAuZCg3StPN/US1uYNogfMxZo/IiLwwwkMHAWYfIDGu5cg5HmnaadfaCK+26N38MMMBAPQNHz12adqFchQYVb9gcOTwq2pw5lRd5YYABBhgoZeDoIbLUvO5y3ci5S7NOPd/Ft3myygADDJxrIHru0rQL5SE0SNPOO+2KG7Cx5qxNeZEXBhjIbGA6REaaUJnXVXpuW+I1Nemmj6Xn5Pr2GgYYYIABBnIbmJ+7tp4l5HR3TncPqNKs2ZJwyc6ZO3mRFwYYYICBDAb2HiQzzPmqObw6d00NOn8zrqavsum+7DHAAAP3MTA/ey3lzXkilMvQoOKNu1eHx6XE+1rOHMqLvDDAAAMMZDIwP0jOP880x6vm8hmPeYfu6/Or5uO+9g4GGGCAAQbubWB+1pp/Lq+787p7QPGG3ZDEIamSKQYMMMAAAwwwUNKA88boSxzUWck6c+02fT0eDz+v+ZmVAQZ2GXDeCD0PQoN2FkpuhgAAIABJREFUJSbyoJbMnHmJ5NIYuWSAAQYYyGrAeWO0KQ5qNGuNmldem5p2eXOjbuQmqwHnjZDN0CBNOx314gaybjTmlXPPkBd5YYCBiAGHx9GNOKifSP0Y07cbTbu+86/+5T9iwHkj5CY0qHjDRjJz5iVSmMbIJQMMMMBAVgPOG6NNcVCjWWvUvPLa1LTLmxt1IzdZDThvhGyGBmnaeaddcQNZNxrzyrlnyEv5vCz8N+oPfUnOyudMjN/H2OFxjJE4vLeinsSIgZ8GNO1+xoMP8WDgvQHnjfcxWnAUGlS8YSOZOfOyAKi4BfdkgYFrDUydubPzMF13+Hj2tV3vWjN3ir/zxmhFHNTMnerWXHN41bTLkQf1IA93MuC8EfIaGlT8ByzJzJmXO20I5soQA8cMTE21GnGsea8a63GPY/Zqxs95Y8yVONzHbM36cC8u1gxo2vGx5sP3+Fgy4LwRchEapGnn12OLG1gqcl/LWa/y0k5epubZVe9+u/r+LLdjeWsuHR7HnItDf/a31ojXsfHKgKYdG69s+Dobrww4b4RshAYVb9hIZs68vCo+X5cvBu5tYGqWZcpjxjllio+5nFNzzhtjHMXhHE/qUhx7MqBpx3tP3q31HO/OG6E4hgZp2nmnXXEDNsactSkvbeXlDo2xO8xRXdy3Lhwex9yJw30N23/k7ioDmnbsXWXPfe9rz3kjlLvQoOING8nMmRcbpLww0I6BoRl2p3zebb53im3Pc3XeGPc0cWhnb++5nq29rmNNu7rx5lu8WzDgvBFyHBpU/Ac9ycyZlxY2Cmtgi4Ffn29eu2McNO7U79lunTdGU+Kgts6uLddr35SmXfs5VsdyfLYB542QqdAgTTu/HlvcwNkbhOvlrHV5qZuXz27dzd5h92xE466umef4t/Znh8fRkzioq9Zq23rKm9a0Kx9jjsW4NQPOGyHToUHFGzaSmTMvrW0a1sNZTwZaana1tJaeDGZcq/PG+BwQB8/DjPVpTrldatrlzo/6kZ+MBpw3Qi5DgzTtvNOuuIGMm4w55dwv5OV9Xlpscg1rGv6R//f5F6PXMXJ4HGMjDq+NqB+xYWDZgKbdclx4ERcGXhtw3ngdmxU3oUHFf0iSzJx5WYFU3IR7M8FAzEDrja3W18d9zP3WuDlvjPEVh7LOtnr0OnlggAEGGGjZgPNGyHdoUPEGjWTmzEvLG4i1MdeigV4aWr2ss0WjV6/JeWPc+8XBM/DqWnR/BhlggIH2DThvhHIcGqRp59djixuwaeesTXm5T156a2T1tl61eE4tOjyOcRSHczypS3FkgAEGGGDgtQHnjdexWXETGlS8YSOZOfOyAqm4CfdmgoHtBnptYPW6brWxvTaeY+W8McZOHOKGnk35s1gywAADDDCwbMB5Yzkub7yEBhVv0Ehmzry8wVTchftzwcB7A703rnpfvxp5XyPzGDlvjPESh31u5oZ8LnYMMMAAAwxsM+C8sS1OT55Cg4o3ZyQzZ16e8BR34H4cMLDfQO9Nq97Xr2b21YzzxhgvcdjnRp2JFwMMMMAAA/sNOG/sj9mvrNAkM5RMTTT/rUEGOjegYTXuneLgGbL1fOO88VUzne+dW714nb2FgW8Dj8fDudPeyQADuww4d33voTueJ6FBuxKzYzL/XVcyc+Ylkktj5JKBegY0q75jLRbfsVCDr2PhvDHGRhxeG1E/YsPAsgFNu+W48CIuDLw24LzxOjYrbkKD/muurVz40GskM2deSuXbdeWbgeMGNKl+xlA8fsZDjS3Hw3ljjIs4LPtQN+LCwGsDmnavY8ON2DCwbMB5Yzkub7yEBh1qyL2Z0Oe1JTNnXrbkzmvkjoFrDGhS/Rt3Mfk3JurzZ0ycN8Z4iMNPF+pEPBh4b0DT7n2MOBIjBn4acN74GY+NPkKDNO387npxAxsBmweLDPz6NfSmxGGhFsQl5zM+0/7u8DgaEQe1kqkuzeUeHjXt7pEn9SRPmQw4b4Q8hgYV/+FQMnPmJVPBmwsjDIwGNKbWa0F81uPTex05b3ztIwtN795tWL+9g4F1A5p26/HhR3wY+NeAc9e/MdngJDRI087htriBDXjNgUMGvMvurQFNu5zP+Sx7vMPj6EMc1EmWmjSP+1jUtLtPrtSVXGUx4LwRshga9PaHpKMoJDNnXo7m1Xh5ZeBcAxpS2+IpTtvi1GN9Om+MNsRBjfRY/9Z8zL2m3bH48Sd+PRpw3gi5Dw3StPMOp+IGetzErDnnfpQ5L5pR28yI07Y4ZbZeam4Oj6MNcVAjpWrMddu1pWnXbm7VrdyWMuC8EbIVGlS8YSOZOfNSqnhdV74ZiBnQjNoeN7HaHque6tF5Y3QhDuqjp7q31nO8a9qdE0cexbEnA84bIe+hQZp23mlX3EBPm5e15tyHsudFE2qfG/HaF6/s/s+an8Pj6EIc1MdZNeU6/VjStOsn1+pars8y4LwRshQaVLxhI5k583JWsbqO/DJw3IAm1L4Yite+ePVSo84bowtxUB+91Lx1nmdd0+68WHIplr0YcN4IWQ8N0rTzTrviBnrZuKwz5x50h7xoQu2zI1774nWHGjhjjg6PowtxUB9n1JNr9OVI066vfKtv+T7DgPNGyFFoUPGGjWTmzMsZheoacsvAOQY0ofbHUcz2x6z1enXeGE2Ig9povdat73zjmnbnx5RTMW3dgPNGyHhokKadd9oVN9D6hmV9Ofeeu+RF8ynmR9xicbtLXUTm6fA4mhAHtRGpH2P6dqNp13f+1b/8Rww4b4TchAYVb9hIZs68RArTGLlk4HwDmk+xmIpbLG4t17DzxmhCHNRGy3VubXwzwAADOQw4b4TyEBqkaeeddsUN2Fhz1qa85MiL5lMsD+IWi1vLde/wOJoQB7XRcp1bG98MMMBADgPOG6E8hAYVb9hIZs682OzkhYEcBjSf4nkQu3jsWqx/543Rgzioixbr25q4ZoABBnIZcN4I5SM0SNPOO+2KG7DB5qxNebk+L5pOx3Igfsfi19oe4PA4ehAHddFabVsP0wwwwEA+A84boZyEBhVv2EhmzrzY+OSFgesNaDody4H4HYtfa3uA88boQRzURWu1bT1MM8AAA/kMOG+EchIapGnnnXbFDdhkc9amvFyfF02nYzkQv2Pxa20PcHgcPYiDumittq2HaQYYYCCfAeeNUE5Cg4o3bCQzZ15sfPLCwPUGNJ2O5UD8jsWvtT3AeWP0IA7qorXatp7yph+PR/GfCeWxfB7FWIxrGnDeCHkLDSq+QUtmzrzULGj3YoCBZQOaTstx2epF/I7Fb2uc7/I6543Rgzioi7vUrHnmsapplycX6kIu7mLAeSNkNTRI086vxxY3cJeNxzxz7iEt50XT6Zg58TsWv9Zqy+Fx9CAO6qK12rae8qY17crHmGMxbs2A80bIdGhQ8YaNZObMS2ubhvVwdkcDmk7H3IrfsfjdsWbW5uy8MXoQB3WxVie+x8eSAU07LpZc+BoXawacN0I+QoM07bzTrriBtWL3vZx1Ky918qLpdCzO4ncsfq3VucPj6EEc1EVrtW095U1r2pWPMcdi3JoB542Q6dCg4g0bycyZl9Y2Devh7I4GNJ2OuRW/Y/G7Y82szdl5Y/QgDupirU58j48lA5p2XCy58DUu1gw4b4R8hAZp2nmnXXEDa8XueznrVl7q5EXT6Vicxe9Y/Fqrc4fH0YM4qIvWatt6ypvWtCsfY47FuDUDzhsh06FBxRs2kpkzL61tGtbD2R0NaDodcyt+x+J3x5pZm7PzxuhBHNTFWp34Hh9LBjTtuFhy4WtcrBlw3gj5CA3StPNOu+IG1ord93LWrbzUy4vGUyzW4haLW8u17fA4mhAHtdFynVtbGd+admXiyqu4tmzAeSPkOzSoeMNGMnPmpeUNxNqYu5MBzaeYV3GLxe1OtbF3rs4bowlxUBt7a8frmdG0Y8A+wMBeA84bITOhQZp23mlX3MDeDcDrc9ayvJTJi+ZTLK7iFotby3Xs8DiaEAe10XKdW1sZ35p2ZeLKq7i2bMB5I+Q7NKh4w0Yyc+al5Q3E2pi7mwENqP1mxWx/zO5WF3vn67wxmhAHtbG3dryeGU07BuwDDOw14LwRMhMapGnnnXbFDezdALw+Zy3LS7m8aEDti6147YtXL7Xr8Di6EAf10UvNW+d51jXtzosll2LZiwHnjZD10KDiDRvJzJmXXjYT6+TvDgY0ofY5Fa998bpDDZwxR+eN0YU4qI8z6sk1+nKkaddXvtW3fJ9hwHkj5Cg0SNPOO+2KGzhjU3CNnPUtL+fkRRNqXxzFa1+8eqlTh8fRhTioj15q3jrPs65pd14suRTLXgw4b4SshwYVb9hIZs689LKZWCd/dzGgEbXdqlhtj9Vd/J8xT+eN0YU4qI8z6sk1OGKAAQYYWDPgvBHyERqkaeeddsUNrBW77+WsW3mpnxeNqG0xF6dtceqxhh0eRxvioEZ6rH9r5p4BBhioa8B5IxTv0KDiDRvJzJkXm5q8MJDLgGbUtnyI07Y49VjfzhujDXFQIz3WvzVzzwADDNQ14LwRindokKadd9oVN2ADzVmb8pIvLxpS73MiRu9j1GttOzyONsRBjfS6B1g3+wwwwEA9A84boViHBhVv2EhmzrzY0OSFgXwGNKTWcyI+6/HpvaadN0Yf4qBOet8LrF8NMMAAA+UNOG+EYhwapGnnnXbFDdg0c9amvOTMi8bU67yIzevYqOdfHw6Pow9xUCf2AwYYYIABBkobcN4IGQsNKt6wkcyceSldxK4v7wzEDGhMLcdNXJbjos6+4+K8McZCHL5NqA+xYGCbgcfjUfxnQrnYlgtxEqe7GHDeCFkNDSq+QUtmzrzcZTMwT356NKBB9dO9ePyMR481sWXNzhujE3FQL1vqxWs4mRvQtONh7sHnPGwx4LwRchIapGnn12OLG9hS9F6Ts37l5Zq8aFL9jLt4/IyHulyOh8PjGBdxWPahbsSFgdcGNO1ex4YbsWFg2YDzxnJc3ngJDSresJHMnHl5g6m4C/fngoF1AxpVY3zEYd2JOvqOj/PGV834y0hnGAYY2GlA0+77WeK5KhYMbDPg3LUtTk+eQoOKP9QkM2denvAUd+B+HDCw30DvDave169m9tWM88YYL3HY50adiRcDvz407dSBOmBgrwHnjZCZ0KDizRrJzJmXvUXp9fLIQH0DvTetel+/mttXc84bY7zEYZ8bdSZeDGjaMWAfYGC/AeeN/TH7lRWaZIaSWbyZmtWLefHCwE8DvTauel03/z/974mH88YYO3GIG9rjzWvFuSUD3mnHc0ueraWOZ+eNUJxDg4o3hyQzZ15sZvLCwH0M9NbA6m29avGcWnTeGOMoDud4Upfi2JMBTTvee/Jured4d94IxTE0SNNu53+oVZHndCYv8tK6gV4aWb2ss3WvV6zP4XF8DoiD5+EV9eee93anaXfv/Kk/+bvCgPNGyF1okKadpl1xA1dsIu6Zcz+Ql2N5ab2h1fr6+D/m/138HB7H+IpDWWfvHPq++N/RgKYdt3d0a87XunXeCMU/NKh4w0Yyc+bFJicvDNzTQKuNrVbXpc7q1ZnzxhhrcahnTn2LdSsGNO1YbsWyddSz7LwRinVokKadd9oVN2DzzFmb8nLPvLTY3GpxTeqrfn05PI4xF4f69tS7mN/dgKYdw3c3bP71DTtvhGIeGlS8YSOZOfNiY5MXBu5rYGhyDf+0kMNW1tFCLu6+BueNcU8Th/vu7XevQfO/rz1Nu/vmTt3J3VUGnDdC9kKDiv/QJ5k583JVcbsvDwycZ2Bs3d2zeXfnuTN8nuEzY+m8MeZFHHL6PNO6a8nx2QY07Zg625TrtW/KeSOU49AgTTu/HlvcgE07Z23KSzt5udu71e42X7Vyj1pxeBzzJA738GpfkadMBjTteMzk0Vzu4dF5I5Sn0KDiDRvJzJkXm6G8MNCWgTu8c+0Oc1QX960L540xd+JwX8P2H7ljgAEGGLiLAeeNkNXQIE0777QrbuAuG4955txD5GVfXjI2xjLOiat9ru4QL4fHMafi0J7tO9SfOXLHAAMM9GXAeSOU79Cg4g0bycyZF5uqvDDQtoEMjbIMc+C8befz/DpvjLkWh37Mz/37XN4ZYIABBmoacN4IeQsN0rTzTrviBmpuHu6Vcx+Ql+vyUrtxNt1v+Cjv1+W9x9g7PI7exEHd9Vj/1sw9AwwwUNeA80Yo3qFBxX+oksycebGpyQsDfRmYN9PObqjNr81VX64y5dt5Y7QnDmowU12aC48MMMBAmwacN0J5DQ3StPNOu+IGbNQ5a1Ne+s7LvNG29Pncx9L351+bv9bnfbu6Mv8Oj6M9cVCDV9ahe/PHAAMM9GHAeSOU59Cg4g0bycyZF5upvDDAwJoBTTk+1nxk/J7zxmhWHNRuxvo0p9wuH49H8Z8JGchtQH7kZ68B542QmdCg4hu0ZObMy96i9Hp5ZIABBhjIbMB5Y/QpDuo0c52aW06fmnY586Je5CWzAeeNkM/QIE07vx5b3EDmzcbccu4b8iIvDDCw14DD42hGHNTO3trxemY07RiwDzCw14DzRshMaFDxho1k5szL3qL0enlkgAEGGMhswHlj9CkO6jRznZpbTp+adjnzol7kJbMB542Qz9AgTTvvtCtuIPNmY2459w15kRcGGNhrwOFxNCMOamdv7Xg9M5p2DNgHGNhrwHkjZCY0qHjDRjJz5mVvUXq9PDLAAAMMZDbgvDH6FAd1mrlOzS2nT027nHlRL/KS2YDzRshnaJCmnXfaFTeQebMxt5z7hrzICwMM7DXg8DiaEQe1s7d2vJ4ZTTsG7AMM7DXgvBEyExpUvGEjmTnzsrcovV4eGWCAAQYyG3DeGH2KgzrNXKfmltOnpl3OvKgXeclswHkj5DM0SNPOO+2KG8i82Zhbzn1DXuSFAQb2GnB4HM2Ig9rZWztez4ymHQP2AQb2GnDeCJkJDSresJHMnHnZW5ReL48MMMAAA5kNOG+MPsVBnWauU3PL6VPTLmde1Iu8ZDbgvBHyGRqkaeeddsUNZN5szC3nviEv8sIAA3sNODyOZsRB7eytHa9nRtOOAfsAA3sNOG+EzIQGFW/YSGbOvOwtSq+XRwYYYICBzAacN0af4qBOM9epueX0qWmXMy/qRV4yG3DeCPkMDdK080674gYybzbmlnPfkBd5YYCBvQYcHkcz4qB29taO1zOjaceAfYCBvQacN0JmQoOKN2wkM2de9hal18sjAwwwwEBmA84bo09xUKeZ69TccvrUtMuZF/UiL5kNOG+EfIYGadp5p11xA5k3G3PLuW/Ii7wwwMBeAw6PoxlxUDt7a8frmdG0Y8A+wMBeA84bITOhQcUbNpKZMy97i9Lr5ZEBBhhgILMB543Rpzio08x1am58MsAAA20YcN4I5TE0SNPOO+2KG7Ax56xNeZEXBhhoyYDD4+hZHNR1S3VtLTwzwAADOQ04b4TyEhpUvGEjmTnzYvOTFwYYYICBlgw4b4yexUFdt1TX1sIzAwwwkNOA80YoL6FBmnbeaVfcgI02Z23Ki7wwwEBLBhweR8/ioK5bqmtr4ZkBBhjIacB5I5SX0KDiDRvJzJkXm5+8MMAAAwy0ZMB5Y/QsDuq6pbq2Fp4ZYICBnAacN0J5CQ3StPNOu+IGbLQ5a1Ne5IUBBloy4PA4ehYHdd1SXVsLzwwwwEBOA84bobyEBhVv2EhmzrzY/OSFAQYYYKAlA84bo2dxUNct1bW11PH8eDyK/0wol3VyKc7iXMuA80bIWmhQ8Q1aMnPmpVYxu4/8M8AAAwzUMOC8MToTB/VWo97coy1nmnZt5VN9ymcNA84bIWehQZp2fj22uIEam4Z75Kx/eZEXBhioZcDhcbQmDmquVs25TzvWNO3ayaW6lMtaBpw3QtZCg4o3bCQzZ15qFbP7yD8DDDDAQA0DzhujM3FQbzXqzT3acqZp11Y+1ad81jDgvBFyFhqkaeeddsUN1Ng03CNn/cuLvDDAQC0DDo+jNXFQc7Vqzn3asaZp104u1aVc1jLgvBGyFhpUvGEjmTnzUquY3Uf+GWCAAQZqGHDeGJ2Jg3qrUW/u0ZYzTbu28qk+5bOGAeeNkLPQIE0777QrbqDGpuEeOetfXuSFAQZqGXB4HK2Jg5qrVXPu0441Tbt2cqku5bKWAeeNkLXQoOING8nMmZdaxew+8s8AAwwwUMOA88boTBzUW416c4+2nGnatZVP9SmfNQw4b4SchQZp2nmnXXEDNTYN98hZ//IiLwwwUMuAw+NoTRzUXK2ac592rGnatZNLdSmXtQw4b4SshQYVb9hIZs681Cpm95F/BhhggIEaBpw3RmfioN5q1Jt7tOVM066tfKpP+axhwHkj5Cw0SNPOO+2KG6ixabhHzvqXF3lhgIFaBhweR2vioOZq1Zz7tGNN066dXKpLuaxlwHkjZC00qHjDRjJz5qVWMbuP/DPAAAMM1DDgvDE6Ewf1VqPe3KMtZ5p2beVTfcpnDQPOGyFnoUGadt5pV9xAjU3DPXLWv7zICwMM1DLg8DhaEwc1V6vm3Kcda5p27eRSXcplLQPOGyFroUHFGzaSmTMvtYrZfeSfAQYYYKCGAeeN0Zk4qLca9eYebTnTtGsrn+pTPmsYcN4IOQsN0rTzTrviBmpsGu6Rs/7lRV4YYKCWAYfH0Zo4qLlaNec+7VjTtGsnl+pSLmsZcN4IWQsNKt6wkcycealVzO4j/wwwwAADNQw4b4zOxEG91ag39+CMAQYY6NuA80Yo/6FBmnbeaVfcgA09Z23Ki7wwwEBLBhweR8/ioK5bqmtr4ZkBBhjIacB5I5SX0KDiDRvJzJkXm5+8MMAAAwy0ZMB5Y/QsDuq6pbq2Fp4ZYICBnAacN0J5CQ3StPNOu+IGbLQ5a1Ne5IUBBloy4PA4ehYHdd1SXVsLzwwwwEBOA84bobyEBhVv2EhmzrzY/OSFAQYYYKAlA84bo2dxUNct1bW18MwAAwzkNOC8EcpLaJCmnXfaFTdgo81Zm/IiLwww0JIBh8fRszio65bq2lp4ZoABBnIacN4I5SU0qHjDRjJz5sXmJy8MMMAAAy0ZcN4YPYuDum6prq2FZwYYYCCnAeeNUF5CgzTtvNOuuAEbbc7avDIvwyZ/9N8r5+/eTDOQz4DD45gTcchn034hJ1cbOHrmsq8wfLVh989n0L4QykloUPGGjWTmzIuNT16uMDAdGs+495nXOmM+rqGmGLjWgPPGGH9xuNahfUD8MxnYelZ6PB5vfybceq1M6zcX9chAOQPOG6HYhga93aCPQpfMnHk5mlfj5XWPgZIHvZLX3rNGr1UTDFxrwHljjL84XOvQPiD+GQzsPRttadpN69p77Wmcj2qDgbYMOG+E8hkapGnn12OLG7BB56zNGnmpebCrea8asXOPfutG7mO5d3gc4yYOMT/qTtxaMBA9C+1p2k1xit5rGu+jmmPg3gacN0L5Cw0q3rCRzJx5sUnKS0kDVx7krrx3yZi6tpplYN2A88YYH3FYd6KOxKdFA0fPPpGm3RTHo/eeruOj2mTgXgacN0L5Cg3StPNOu+IGbMA5a7NEXjId3DLNpUSsXbOfupLrbbl2eBzjJA7bvKgrcWrBwFlnnSNNuymOZ81lup6PapSB3AacN0L5CQ0q3rCRzJx5sQnKy9kGstZ61nmdHX/XU9O9G1DrYw2Ig72g972gl/WfWetnNO2muJ85r+maPtrXGMhnQK2HchIapGnnnXbFDdhkc9bmmXnJvmlnn9+ZuXCt9utNjpdzrM7HuIjDsg91Iy4tGTi7zs9s2g1xPnt+LeXOWuxFrRhQ5yHLoUHFGzaSmTMvrWwW1nG9r7vU+F3myfT1puXgnjlQ42PexOGefu078rbVQIkaP7tpN6ylxDy3xsjr1BMD5Q2o8VCMQ4M07bzTrrgBm2bO2jwjL3fbrO823zNy5Brt1p/c/syt+h7jIQ4/XagT8WjJQKn6LtG0G+Jear4t5dRa7FF3NaC+Q3ZDg4o3bCQzZ17uujmYdx5Pd63tu86b/Tz25SJfLtT1d07E4jsWalUsWjJQsrZLNe2G+Jecd0v5tRb71d0MqO2Q2dAgTTvvtCtu4G4bkPm+30vuvknfff6MvjcqRn3FSE1/51ssvmNhHxCLVgyUruuSTbshB6Xn30qercOedScD6jrkNTSoeMNGMnPm5U4bgrnmMtRKTbeyDvWRqz7k45p8qOfvuIvFdyzUo1i0YKBGTZdu2g15qLGOFvJtDfatuxhQ0yGroUHFm3Y26bx5ucuGYJ65DLWyQbeyDvWRqz7k45p8qOefcRePn/FQl+JxZwM16lnTTo3cuUbMvb7fGvtSo3mtn6ytgZTUvLnZmkOvk8PBQGu13Np61Kk67dWAWv5pXzx+xqPXurDu+zuoVcs1mnaDx1rrYf/+9uUwdw7Vcjg/4YHF320nqXlzY0OUm60GWq3jVte1Na9eZw9owYA6/ulYPH7GowXj1tBfTlut41bXpUb7q9Gec66Ow97DA4s37QbQEps7Pz1vOta+zWarNdzqurje5lqc7h8nNbycQ3FZjouaF5e7GGi1hltd111cmac98KgBNXzI0KHBxRt3kps7P0eL1/i289t6/ba+PvXZdn32nl/1u+xbXJbj0nu9WP89XLRev62vT53do87kKZYn9RuL25e3Q4OLN+2GSUpw/hzZvORoyUDrtdv6+pZy6mtqvRUD6ve1ZbF5HZtW/FtHmzluvXZbX5+6bLMu5XXMq/o95PvQYE27X/njZ6OQoysM9LIx97LOKwy5p72rlAF1u25LfNbjU8ql64r7EQO91G0v6zxiwVh7STYD6vawycMX0LjTuKtiINvmYz7re0cvm3Mv6+R93bv43Cc+anZbrsRpW5zUvjhlMdBLzfayziyuzMMed9SAmj3F0CkXKd60keyERFE3AAAgAElEQVR75OloURvfTp57qdle1qk226nN3nOpZrdZFqdtceq9nqw/j5MravbxeBT/GfDZ2BXrfJ6DP+dxLxf5c6FmT8nRKRepsmFL+H1yZQOVq57qtae1qm21fWcDanWfX/HaF68714a53z/XV9TrFU27weoVa1Uj968ROayfQ7V6WsxPu5DGnV+TrWLAhpu/ZnvboHtbrxrMX4Ny9G+O1Om/MdniRNxicdsSW68R27MMXFWnmnYMn2XYddqzdNW+1Kil+wEB4H45a7R4NClfNKp7q9He1que7cF3M6BGj5kVv2Pxu1u9mO/98n1VjWra3c+K+pazGgau2pNqrO2ie9wTLgj3zNtFyDXXXjTXSuWjt/rsbb2l3Liufb2EAfV5jitxPCeOJYy7ptxcVZ+aduzZfxh4NnDVfvQ8j8b+fF9oAwgo7pu/xgpJY/CrMdhjTfa4ZvVr781uwBnhfKNien5Ms9eR+d0j51edQ65q2g0ur1qzmrhHTchT/Tw5IxSNedGLV2lk2LTvn0Mbazs57LEee1yzmm2nZlvMpZos61N8y8a3xZq0prJmrqpJTbuyeVU34nsXA1ftQXeJzwnzbKMYBiiwtJHLE1BXaRab57K3HuuwxzXzv+xfXK6Ni7NAvfiLdb1Y21fE+p2Bq84hmnZsvrPp+20bcRaolt9qN6rSSAGnrXza6O+Xz6sOjldb6XXdV8fd/e+3R5TImWf/dQ7E/rrYl6gl17xfPq88f2ja3c+LGpezMwx49ld3VP2GVZt3Eygfx3ciioM4VDHw0eE/X+/2rRJf9/p8Z7VY288mA2ccQF3j2HlwyoWP6pKB+gau2r+ubtqxVt+amIv5YOCqPafj+wp6x8lXcDYdBhhggAEGGGCAAQYYYIABBhhgIKcBTTtNOwYYYIABBhhggAEGGGCAAQYYYIABBpIZkJBkCdHdztndlhd5YYABBhhggAEGGGCAAQYYYICBmgY07TTtGGCAAQYYYIABBhhggAEGGGCAAQYYSGZAQpIlpGbH1r38DQEDDDDAAAMMMMAAAwwwwAADDDCQ04CmnaYdAwwwwAADDDDAAAMMMMAAAwwwwAADyQxISLKE6G7n7G7Li7wwwAADDDDAAAMMMMAAAwwwwEBNA5p2mnYMMMAAAwwwwAADDDDAAAMMMMAAAwwkMyAhyRJSs2PrXv6GgAEGGGCAAQYYYIABBhhggAEGGMhpQNNO044BBhhggAEGGGCAAQYYYIABBhhggIFkBiQkWUJ0t3N2t+VFXhhggAEGGGCAAQYYYIABBhhgoKYBTTtNOwYYYIABBhhggAEGGGCAAQYYYIABBpIZkJBkCanZsXUvf0PAAAMMMMAAAwwwwAADDDDAAAMM5DSgaadpxwADDDDAAAMMMMAAAwwwwAADDDDAQDIDEpIsIbrbObvb8iIvDDDAAAMMMMAAAwwwwAADDDBQ04CmnaYdAwwwwAADDDDAAAMMMMAAAwwwwAADyQxISLKE1OzYupe/IWCAAQYYYIABBhhggAEGGGCAAQZyGtC007RjgAEGGGCAAQYYYIABBhhggAEGGGAgmQEJSZYQ3e2c3W15kRcGGGCAAQYYYIABBhhggAEGGKhpQNNO044BBhhggAEGGGCAAQYYYIABBhhggIFkBiQkWUJqdmzdy98QMMAAAwwwwAADDDDAAAMMMMAAAzkNaNpp2jHAAAMMMMAAAwwwwAADDDDAAAMMMJDMgIQkS4juds7utrzICwMMMMAAAwwwwAADDDDAAAMM1DSgaadpxwADDDDAAAMMMMAAAwwwwAADDDDAQDIDEpIsITU7tu7lbwgYYIABBhhggAEGGGCAAQYYYICBnAY07TTtGGCAAQYYYIABBhhggAEGGGCAAQYYSGZAQpIlRHc7Z3dbXuSFAQYYYIABBhhggAEGGGCAAQZqGtC007RjgAEGGGCAAQYYYIABBhhggAEGGGAgmQEJSZaQmh1b9/I3BAwwwAADDDDAAAMMMMAAAwwwwEBOA5p2mnYMMMAAAwwwwAADDDDAAAMMMMAAAwwkMyAhyRKiu52zuy0v8sIAAwwwwAADDDDAAAMMMMAAAzUNaNpp2jHAAAMMMMAAAwwwwAADDDDAAAMMMJDMgIQkS0jNjq17+RsCBhhggAEGGGCAAQYYYIABBhhgIKcBTTtNOwYYYIABBhhggAEGGGCAAQYYYIABBpIZkJBkCdHdztndlhd5YYABBhhggAEGGGCAAQYYYICBmgY07TTtGGCAAQYYYIABBhhggAEGGGCAAQYYSGZAQpIlpGbH1r38DQEDyQw8ksznz69fH3+TzOXVHp19fq/m7evOHQwwwAADDDDAAAMMMLDRgEBtDJTmRvIf4Evm8c/f/308fterlT9/Pz7+/ql3v5Kxc+19efzfr18fGRp3Q0Ps49evj9+J636I0xCvEsaGa2fIQ4m1uWYZM+IqrgwwwAADDDDAAAMFDAhqgaAW+SHSPK+y+vvj8b+Pj4+Pvx/Du4/K5+HPx9/hdv97FG2Y/H7873BjcLhG6XmWj3eNnG6/x9AoG/69et3TPDI3roaG4jDPEnMcan249pk1PzRCz2yCDg3LDFautur+1+8XciAHDDDAAAMMMMBAMQPFLnz5D53QyO0pBn4/Pj57dkPbrsa734a32X3+U/jdfZ/3WWtEfjUPv2az/mHrXP98/D2zGTnl5u+fJvabEo2iSA0MTbChGXRmgykyj3djok27Lb9WO137zHfyDXHdcr3p3kMOtvx7ZmPxXcx933OVAQYYYIABBhhggIGqBqrerIkfrAHty8znu8lqNex+fb2r78zG1qt3bU0Nr7Vu3OnzGNf3v8fvt3vBFPe16X1/b635eB+vQ0NnS0Op5B40NYzW3r2WYZ5DDKa5Dh/3xGRr82xomK3FYc895/Pd0oibXrN2jyEPZ85v7V6+t8+YeIkXAwwwwAADDDDAwEkGBPKkQO76odE97+Luq4lW6Z1cY6Nq5V1rX422U97xt+FaJf7bevuacZ/d0te19bmGlXjtbOZcWZfTu+z2NqDOnvPQCBr+nV93+PPURJp/vLphFG3aTbF+1yAd1nrmu9i2zHe457t5TbnRtPvpdIqLj+LCAAMMMMAAAwww0JAByWwomT9+0LauE2x//gpppabQVxPtx7vQvr72/Y6y6bMT5vS2aTf9t/zO/bXgz6bd2jv4vn49eFNjsqGm3dCAeW7W1G6KDfebN+Wmz+dNvOFr8z+X2meGBtdzPJ7vtaUJ9jxm+PPUtBvGL31/+tqw1ppNuyn+W/N+9vymdfu47kJ8xIcBBhhggAEGGGCgogHBrhjs1R8QzeMai78ff1/8n2G3/yrn8dx9N8imttz08b8m3lcz678/v2k4vJ3Tu6bdm+//ecT+RxnrTbspDkNO3v8K7a/PmNz/V2OnZs1zzva+k2q4zrtG1/M9pj9PDbC1JlWNht3UUBvuNfy7tp5pzu+ab9Map49bx53dFHt33+F+zw27wcCrJunZ85vi4+M1zyJxF3cGGGCAAQYYYICBBQOCshAUzbWjDaE7jR+aU0vv/BoaQktfX1zb0GyKv/tt/JXRlebT2Q27YQ3zptyfvx/PzcBx+QuNs6+5jE3FlTkvxunXx2rT7vPaT3H8mufz/D7r9vP1++eQqeanRs5zs2z6+tCYmc/3uak1fP/537VG1/xa88+Hazw3jObfX2sezV+39fPnOc//PN3r3TqmGA0ft953eN3WccOcnvMy3WeI1avvTa95/rh23+F68xg8f760xrX5Pd/bn/cZES/xYoABBhhggAEGGEhiQCKSJGLXD53mfKbbpXfUvWvCvfo/qwYaSEuNqnkTYq1pNX/d3s/nTbvZ52MDcXqf3/rH/z0eH392/h91XzftpnfZvbjnUgO1gabd0KBaak4NXxuaMlOzZt7EGb42/Ls0LrI3vJrDdK3hPq/uNc1veu2Wj9NaXjW9hmtuaUhNr5vPYZjnWvNxmN/SuKV5r81haiwujXv1tVf3nb7+HI/hz8Mc5uubX3ttfvPX+fzM54Vr8cQAAwwwwAADDDBQ1UDVm2lM7W2seH0VM5+9nxe9ovUvf70r7F3j7VUeZ82y5Y1vbA4u/vfdfv9++cP88rWeav3z3tO72n42zBbvN1/DgWbZq6bd2Cz8t+k5hvbFr+IemMemGM3XXODzocE0NH/mcxkaMdO/z02c+euGz6fXPX99z5+nObxqdA1fX2rYTY2mEo2j6V1nr9YxNbOm9S99XJrzdL1p7q+aYdPrXq1tfv93OZquNXx8dd/hPs8OhtcPX19bx6v5ze/p85/1JR7iwQADDDDAAAMMMHAzAxJ2s4T9+AHf3M/x+6phtDm+oabd2JD73//W/5t6Sw20cb5DO/HfJtfmOS807RZ/BfWpqTRc/0i8Psc+v2vuM37DbyM//Tru19eXYvC5zps27abmzdB0ef53WNe7d75NOZ5e9675NL3++ePQEJqaQsO1nq8zNc+e5zj/8zD+edzzffb+eVrXvDk2v+fw+XTf4fO99x9ev2Xc8Jqlptzw9VffW1vr0n2HtQ5xnmI9rWVY33CPtetF5rB2Pd9bj7f4iA8DDDDAAAMMMMDABQYE/YKgr/4gZj71TR5pQn3ma3fTbvYOuqF59tzE+vXznW+v3u3398/vj9+/g/H6Mefxfv80zaamwVfzbPr+YuNteu2bj/+M/a95+LXm/2Lx9SvIf/+8rpebNu0GM0sNnOHrz82btf1gavisvebV94am0HCv6ftTk2hqSD1/nF43/3i0aTTcf7jv/JpTXJaaZfPXDZ9Pr50aXc/ff/XnpXHT+uf3XVrfEPPh66+uvfb15/s+52D6/nSP+Vyerzu9dvj4/D1/FhMGGGCAAQYYYIABBpox0MxC/ODih7e4gYPNn31Nv6EZNf1a6lB/X82p1525f9d1cL6fG/jTNT7/+GoO/319nPc4dKWZtmLxZ9PuORbTu/j+9/G//w03XX8n4c9r3X8vmxoxa82a+cM32rQbxj3fY2ggPTfQhnsNr3vVpFpqas3nt+Xz4frPzcNhflvGTvHa27iaxg3zn/87zGMel+f1TY29vfeb1jLdd/g43Gd+r+fXvIvB/FrTWB+3uREncWKAAQYYYIABBhi4kQHJulGyNv0gaz0B059dqHkjbd81NjftPt9V9tyIGpt2S78C+rI5Nn5j8Yf+rfl/nvPLey00UPa89nk+80bbn7/PsRjjPs5t4ddln+Yyv9bzfe7456FRs9Q4e7WW4fXzhter182/PoxZajrtbdqd2TQa7j01sIZG2fOahjlP35+vJTqHrePmTbthDsOf5/ff+/mW+07rnxqES+se7rvlWnvn5/XH8it+4scAAwwwwAADDDBQwICgFgjqoR/szOcCk59dqMJNu8Vfgx3Wur9pd0azalzy9//gYXsj7s2v0r5pbLyd+3+5mN6BuNzYG+rk7bXezCVTrQ1NmqExtGdOw+ufG1x7xs9fe2XTbpjH0KyaGmNDQ2o+t+n7z1+PNq62jpuadtPcnue098/TfZcaccPXpvtN152+tuRiutbwcXq9j2LBAAMMMMAAAwwwwEBzBppbkB9g/BC338DnO+A+Ppbe7fa86X02ij5/XfS7mTR+7fvPz2PW/3xF0+7rvx83++/FvW3afb7gv9+T/fj48Su+2/eRtViNt/gZx+m2039Pbx7LVpp2Q+NtaNjM17bl8yubdlND6aym0XS9oXm4tPalGEUbV1vHDTkZ/j2rMTqs67kxN3xtatgO83qO5zTX57lM8VqKla8tGxIXcWGAAQYYYIABBhi4oQFJu2HSFn+otY4Dlr+advOW1KbPv5pea42o93nZ37T7bGT99z9siKx7vOd3I2x6V9v6qr9fP9wz+D/B+Jz8z8bc9G7D4fq///z5t3Hx+PwP3H1N7vsdkeOlYv9tvfd5icR1/5ip+TJv1kwNqncNo9pNu2muUwNp+Lj0LrBIbOfXfjV+uN+8qTc1tOaxezV2/vWt44b7DfOajz36+fya05qnewzzGuI5vGb4d36v+deH7w1xeH7N/PU+/xk/8RAPBhhggAEGGGCAgZsakLibJu7HD3TWcNTx68bZltjWaNpN7zibt9V+NtF2xGDhnYWfa5i9825c93Nzb8c9npoO/8XxqWk3ruu7iff7z/C/6fj6Zz6ffxqrfz/+/h3+XxX3bdpNjZepSTN93PrOrrObdtP9332cmkz/5fRVrnd8fbjn1Kx81Qgc4jW/99bm2/M8t44b5jS/3/N1In+erjmscd6AnF9rmt+r7w+vHeY1XGs+zufiwQADDDDAAAMMMMBAcwaaW5AfYvwgFzBwrDl1RtNu6lOtf/xubh3ajD87Zd/vWHt9ra9fow3+Kuzidaem3ULjcP76Mabrv7I8Xuq+Tbvp3VNrzZl5TJ4/P7tp96pZ9nzfs/88NeuG606fb4nJ1NwaPu6Z09ZxU4Ntz7XfvXbPNdfyoWm3L+fv8uL74skAAwwwwAADDDCQ1IDEJE3Mrh9CreGo42NNu7EH9v0/ddiXj2P33nevMU5r8/39ePx4d9G8Mfb8vci9f40X/HGPl9cZ3nX3+P2yFuZze3mNnQ2dO13n7KbdlkbZ2fGZGmjzd7QN69rS3JrGXt20GxqNW+ewtq4h/muNunnsh3htfe18nM+PPiuMZ4gBBhhggAEGGGCgqoGqN3v5w7eky8O1Bo79H1HXmmDv1zU27bb8TzDeX2uLo7W1/ttA/NkYG78/vBswPN/Vpt2/919b83Cptabe2tgWvpexabe3kTQ0sZ6bhdO7yN5dq0TTbmjATfdda7DN/Qxj5k3H+feeP393zWntw+uex87/PJ/n/Os+X4+b+IgPAwwwwAADDDDAwM0MSNjNErb6g5y1RD3/+39T3RPLFE274ddNt/z33T5/LXX5V2OnX0n9mP1PLn427b7iO/vvy+1umq027cbrf75k7AyueF9rPkYd5Bo3NI+G5s3QoFnyOHz/1feWXr/2taFx9tw8W3v9q+9NDa9X359/fe2dZcN13s3nzKbd1Cybx/Ndg21ayzDP+bjp60sft1xzWtfa+of77Yn10lx8bbmuxEVcGGCAAQYYYIABBhIZkIxEyVj8wdz86hhdbE69aJY85+Rz7KzR9fz99T+f9E67jU275f/hxK+PX1+NuOcm3Ou4fDU6P/8jfMtNwMV1jxd8+86kqYH4+h19bTbthkbM0NgZ/n33K5fDa181i4bvvRs/z8/QIFprEs1fu/b51vsO8x7W+OpaQxPt1dqmMVNza886h7HzcdPnS3MZvrblHXR7Yrf1msO8hlhOa33+OMTmjHw9X9efX8dcbMSGAQYYYIABBhhg4AIDgn5B0F/+IGYu13l83Zx6NaffH4/H8D9BOPYuvV+/TmzavW0cDvdaaLC9aNgNHt/F5fP7e35ddmPTbrj30Lh7biJ+18gY99dNvVd5y/f1oTkzNHOGf9caNd9rHxta05i1j1uaTsN19zSe5vN4/nyY/7t7Dt8f5ry32fZ8r6nhtvc60/2nuL1qfg3ff7eWKXZb87b1ms9rnf48xe2sfE3X9THfviAncsIAAwwwwAADDDDwCwIIGBgNTM2n9f9768p3t/xq6uI7Z05s2n28+b/LDot8nudXw+5V82vssa3/H1rHy26spfGCm5ohizaH8Z/NyZPitpiTjWs5MHZqGE0fl95V9txcml47fdzaKFqM49Pcz2oCDXNbWss0h2ijbRg/rHe4/tFrTdcZrrXWlBtet7aWaR5D7Obzmr7+/HG41vC6s/7dMrfnOfjztx+xEAsGGGCAAQYYYICBGxiQpBsk6b8fUs21lNexAfTdklt4N9qsWTDPw/RrnK/fEfZuzic1nz6bYWvzHt6Z9vT9hTHP/4fYsce23rSbx2P98693JX4H+uBnT+t5kaP1Ob3Lz/nfH5otU+MoS+NlaDwNczoaq6EhNVzr1XWG7+99Z9z8WlMjc5hrtAE4jZtfd+nz6V5bm2xL15h/7fl6R3K/taE4v7/PX7sUG7FhgAEGGGCAAQYYSGpAYpIm5uUPveZbxmy4OfX5TrUjzaOxaRdv+n3F43MBK/9X1z9/f/yq6WezcfHXab8amF/vyAvH5UXj5muaX826A3E7HPcyju5an88Npa2NqqXXvWr+TY22ozF6nuvR670bv7TG6WtrDcql6w7jjjQtp2sOMRj+nf7so1gwwAADDDDAAAMMMNCkgSYX5QcZP8ztNzB0k55/dXRTHId3j735tdQ31/nZyDr25rPl5t/vj8ffx6xZ8Ofj8fi9GqPpHYSfswnF5cXeMix2sVn44vUrsfvz91jcPdT+jfn0q55TU2rPx1fNuhJxnhp3Ne95xjqGd9ed0bQ7Yy6u8a9/MRETBhhggAEGGGCAgWQGJCRZQlYbKebastfnX9Hd17xbbtYdi9fUTDz32s8NxGNzVBP9xm9o3N2tacdrv17lXu4ZYIABBhhggAEGAgYELRA0jbWVdz+JZ0s1tfDfwZN79c8AAwwwwAADDDDAAAMMMMBADQMtNRisRcOMAQYYYIABBhhggAEGGGCAAQYYYKAJA00sokZ30z100RlggAEGGGCAAQYYYIABBhhggAEGahnQtNN9ZoABBhhggAEGGGCAAQYYYIABBhhgIJkBCUmWkFrdWvfxNwMMMMAAAwwwwAADDDDAAAMMMMBAXgOadpp2DDDAAAMMMMAAAwwwwAADDDDAAAMMJDMgIckSosOdt8MtN3LDAAMMMMAAAwwwwAADDDDAAAO1DGjaadoxwAADDDDAAAMMMMAAAwwwwAADDDCQzICEJEtIrW6t+/ibAQYYYIABBhhggAEGGGCAAQYYYCCvAU07TTsGGGCAAQYYYIABBhhggAEGGGCAAQaSGZCQZAnR4c7b4ZYbuWGAAQYYYIABBhhggAEGGGCAgVoGNO007RhggAEGGGCAAQYYYIABBhhggAEGGEhmQEKSJaRWt9Z9/M0AAwwwwAADDDDAAAMMMMAAAwwwkNeApp2mHQMMMMAAAwwwwAADDDDAAAMMMMAAA8kMSEiyhOhw5+1wy43cMMAAAwwwwAADDDDAAAMMMMBALQOadpp2DDDAAAMMMMAAAwwwwAADDDDAAAMMJDMgIckSUqtb6z7+ZoABBhhggAEGGGCAAQYYYIABBhjIa0DTTtOOAQYYYIABBhhggAEGGGCAAQYYYICBZAYkJFlCdLjzdrjlRm4YYIABBhhggAEGGGCAAQYYYKCWAU07TTsGGGCAAQYYYIABBhhggAEGGGCAAQaSGZCQZAmp1a11H38zwAADDDDAAAMMMMAAAwwwwAADDOQ1oGmnaccAAwwwwAADDDDAAAMMMMAAAwwwwEAyAxKSLCE63Hk73HIjNwwwwAADDDDAAAMMMMAAAwwwUMuApp2mHQMMMMAAAwwwwAADDDDAAAMMMMAAA8kMSEiyhNTq1rqPvxlggAEGGGCAAQYYYIABBhhggAEG8hrQtNO0Y4ABBhhggAEGGGCAAQYYYIABBhhgIJkBCUmWEB3uvB3ut7n5/fj78fhdrqZ+Px4ff4rF5/fH74JzP1pnf/7+r2hsF+f35+/H/x6/3+Z9cWyxPJXz9e86fn88/ve3oLk9a/nz8ffvn45zsSdWXvuvZTEREwYYYIABBhhggIFbGrjlpP3g1kRDoCF7vx8f//uY/inX5Pj9+N/Hx/8eH79L5P/P3/fXHl7zUW59Lx8iU3wrN20+411gvcN1//455j9qYe+9P1Neytwux0MDcSBaook6XPuCpvCu9R/z8rK2zMF5ggEGGGCAAQYYYICBzAb8IOCHGQb+394dpqfKa2EA7Xwcj/NxPI6n8+E8ECJJCBBQe2hd349rq0CSnYU9vDfoMQMhRIhR3ePxfu9ubwkWvrqvIUHptsO1A2+6IaDaDkXCdu8I7q7dfSEcegz7fn1PYFmtVzK/rw4LN8PPa9fHo23/7QybQgrXvGoxuuheXYNqzdffi0Jfdo63sZ1g7B2u18d07L3HMdWNAQYYYIABBhhggIEPMWCiP2Siz5wc/5K+JSFOmqb8ZJixM3Bptx3H1hJajIHSq8c9rqabrUALacrTK9PaaxHfE2Nw1lKTuE/jY1w5mDoqf14IMPePo+zTznG9zVzZr+3fD4V2l1t3bwjRYzj5npV822N7fl61oYYMMMAAAwwwwAADDPxBAyb1D07qLwnBzm0vXsTnWcq9uw4hxhuCnJYVQU1thwBuFn6tHX8MkVoDi/yz+2II1Ffq+CqoR72zsCocu+xX3LZ8/pXncmxjVx3Xapy+thRQJtv0U/2Wtr/G+WoNXZvM/cy5PMxJ5qOl3XA+bFoZxnnc7yvtOVbLvNqGEwYYYIABBhhggIGPMPARgxRiJWGAE3vd/HDtPtyBuvDZWf8xxAhBUh8YxpVxeaRY/tYa+oTjLgUWDW09AqCjX2YxBklZILPV7nd3v73rdtmx7aw/6252nVebod009tY5bG+/HoQu7v8fvZd9OhbafXXxnF6t5YnGWY7b7y889/wt9O8hBhhggAEGGGCAgd9lwD+GXRAxsMvAWy/up7CmDODmv79qtd/YZh+8xXSjaOz7du1u98oXYOxcobdU59BsGhomdZgFZ+G11QDm2TfhtVBtoUZDyWZ9XTi31o7f933j9eutMhfNY14K7S71OX6r96k+fSC3NadPhXZbc/ND41w6Bzw/WVALtWCAAQYYYIABBhhg4GHg8YO0tfmiV80++gTavLhfC5wW7IwhTcjKlsO40PT1tefqcNAxpXusmKv0s9+ueD2u0LtfF1YltpxT49in2xdD/abfi75U+vHVrzy8PVeXMJYirVz5dStgWj1H0lDuep99I2o/xOr407k6/K22S6HdV9fXYNbu0OayydVxNsx/NqT+u4lXvlX3aGjXtN+bx/lsnexfvA802JkDTkoAACAASURBVFIzNWOAAQYYYIABBhj4AwZM4h+YxNeGOC6G8npmgdpKipO9NK4au1y76+V151ifK8xClafmawwYt1YhDW2UYc8rVryV7fdtpCvuytqVr4/7x9oXoWL13C5Torjv8Hjvrmmg9lRty74nv6dtJD/vCQ6/b7fuuhJwVceezGM1HBtrk722FGb1/W6pd9/mas277vvez/p6YNePpyl8q8xZ035L4xyO1zt7X3C5PFeJmcq47Kc+DDDAAAMMMMAAAwz8eQN/foB5AOPCRz0WDKznCkmQtHJx37/0qlBtfgtkCKjqx79299YAJR3/OOgspElfz37u2y/qcL8+Pi8sy74aApjhj8vQ/nTMSx9Exc/ru19DSFMeuPw9btcUPG6/34Uulbefvji0GYK6OO4wr3FYm3MxdPCZACmEr9V2xgAxW1FZbS8cY+jzlrth/37L5T6HsHL59fgPkXn4Voa49fmd71fZrjrOcbuxLvVzr3Ks7Lzxepw/jywwwAADDDDAAAMMMLDbwO4dhD4uyD7GwOVSue1z8eI+hi8xjHnu3OqDhjwkCMefhS0xaOlzkV3B1djfpdDlEbbEOGnhcWn/zfNkDH4q+4cQpxKALtR+2L5ynN1/EIbj1+cvvFSGeQfnuBLa5XO9fNxQm+2Aa3nsW6FdMf6s5tF4tPBMP+IYNxx+TV8kEVutPc7Oi8TfULOtcyMbZ+xbeBxeGhp9xXjzYy/Pk+3UhgEGGGCAAQYYYIABBpILG8VwQjCQGghhwixMWby4D2HIbPuj59jQznd3u91rGUXluZ2BQm0cMZ14BGDX7narBJdHx/TYLwY1t+72Xbktsta3GN48+jbNVdj82GfahdV9/bFin+rHWQwSH2Oa+rN5Hg0djuHYgrN43HFOoqumACruW308Etp9d9/9/av9f2P9wxBeEGKOoXMfuo1DHRvKH/rXj469ab+h8co59OhU5bVqfXc4sP/H/B9Am+8JLLDAAAMMMMAAAwwwUDfgAsM/phlYMhCDmmwVz9LFfbZ66gU1TVfQrX7O2xh2VMKspXF9fY0B4yOJmQKSYazXW3frP4vvel/9YoDh+I9QI4ZQ22MfdhlXPoXdi0CkWuPlsCk93vKYF/oVdu7u9+FT1bpr/Y1yvFW36OfCtpt9KMY3/DpNwcJPob5h13qwuNnu0N9Qx7yRce5mhscgs9+48LW/H+FY2bkUP6du5dbZdExN4VtlTub7xRok81nMydBuPAeLsad98vPCeVWZB7VSKwYYYIABBhhggAEGdhvYvYP008XI5xioXcjXnovhw8IteNXbbDcdLYdU5Rvd3gBlCDGKIKJ6jBha5AlP9be4EqzsW/l7GaBU2x2erDaz+mRrH/I+xQBnPXQs+50fY9/76HCsJKiq1mDBx55tH6sHK1Urw7NhPI/QLtYk7piEW2O/9vVjqs/1ntY5tNM6b0fnINQ7jiU+9v24Tl/mEQaUhLZjDRbO6Wfm376TB7VQCwYYYIABBhhggAEGVg2svvg54czCBTI8H+5jCDGKwGJ2cR9qNDwd84DqY3GcTXMhNJiHK3H1Uzzexu2Vs3b648Z9p/mthjBjaLceqtRXUFXPnb6RIgSptRtDlqndpVrE/l+62+3o6rNw7KmteMz88WhgVKvDMOakDrUa1PaLIdxWX+v7xvGs1DINaWOoGzqXhFn9cfaai233j4m/UIiwqjM6rZ1z42tH56Bpv3ScsQ6xBrFvHv2bgAEGGGCAAQYYYIABBn7WQHox5ef1i131+Yj6xAv2avC28WQSxDxfqxCurLY4hAr7ApQ+m5gHgUu32C4HPNO32y5vk9UgNDx7gw9ZSRm49WOagsVhm5VbhEPIN22ftbv6hjrVuFaT9DhNwc9qW/H9I8xXertpvQZx+3Cbcu4gXa2WbNfUfm2+pjp0ZZ1D514Y2sXxjJ+TVztn+jYrzx+dg6b94jiHx8qXoDTVdu9c2D49x/zMAwMMMMAAAwwwwAADMwOzJ2YX1YqmRn/ZwHiNnmcicYVNbdVPvLhPL+L75+I+6fNP/VwLV2oW94V2S3M5DOv7u4vfN9ANq/HSMCcvUfitD8r6bY6HSKGcZWg3jTP069Zd+rmoBDn95+7F/7aCt3zsMTzr1x3Wg8x0+0fwk7QX2+0f29sONZ1Wy23VOLQybd/X5tJd+s8cPOQrtBf6O7U9HH/wXsxlmKAitEuPcawfsYz1usW5yV085mDnuJv2ix16wvKx+ThWP22pGwMMMMAAAwwwwAADH2HgIwZ58OJWbT7+TaAWWFSe65+qhw/PGGoNRlq3S/syhTVp8DRbZTV+YcXq2GpBz45QJZQzD2eiu+G1R1AXgpy0L0MYsyswizVIg868fkObeVHmvz0T0A71yr0M45gdM/QrD+ti/595TMZ7uXSXdK5qcxkm6G2h3WLYPU7EbL4fHtpr0B7aHVmt2d6P6NqjmjHAAAMMMMAAAwwwwECjAYVqLJTgL724/5Sfa4HF7Llrdz8QJGy7S8KVrN7h+T5JCoHG0nb7zu0wrDI8mwdleb9jX4rVWVl/1/ux1m4a6Azb9YMeaj2uxDpU9zSw6/tWqV/89txkHE3BT7J9XqekBsNAWuo1jvHlK78q4439bg3tatvFY7Q8xhrcwirJejDZ9zMP0Y7OQdN+AWIRTibz1jIu2/g7yQADDDDAAAMMMMAAA6814KJk8eL6tYUG91fW89Ld7rd8NVJ5cX+5dbfrO86jGIjNF3oNz9z7b77sQ7aVEGZHzcOwitBuXBW20IPx6T6AOv5FELN2xzZnK6z68Op6S27fbQm+ynmp1ar2XLnfV9cU/DTUexjvQth4ud2y0CitTfna8fetlfHWwrjQie52++4e4dr43LVhvPN+jmHksLIwBpMxgJ7XPd3/6Bw07ffUmOb9Hg5XhI7pWPw8r5maqAkDDDDAAAMMMMAAAzMDsyeES4cuRNXxY06u1ov7cNXepxEHz6mVcCUz2m93JMDKzYZhlX0NocoQoJWrz1rrkPU1b7M3k7Xb/1IEWsPrMfzIAr1+3PlKrHWDS9u31bkp+NkY6/q3roZ+PIKxsjZjONsnpWmguT7meb1rIe/1PtZxJbTrA7owFytfILE5/jH8TOdtnNPwGYq1/k7PHZ2Dpv0CxCw0rde2EuQX4w51ilH3HqPTWOtte11dGGCAAQYYYIABBhj4MAMm/MMm/GCA9EFO8ivueOV96LEadhUX+Mv+2sKkr1rQ0tzGNK8hs0hDu34lX/imz34cQ/BRCVueC5CK0C7rdxj/FHqOv6ehVd/p1lD0el0IZNrq3BT8ZP2favuY45W5CvWNt/+Gfedz8tWF+Q4c04Dv0cZWH8bw7/s7+cqRuFK00r983msr43bcHj6eW6WZ8elpJd/CGI7OwfJ+YTxDHUOxF4ykc9nvsx7ExfHEN41yvO1zlbbrZ3VjgAEGGGCAAQYYYOADDZj0D5x0wV0lFJgutDdWrTVf3D97btXDpEe40ycCfWBVCVqOmA7DCqFdDGr6217Dsaaw5hEUrbV7vW8GMLGPabvxudB+Og8xwLt1t+9+MV7sVwj90t/jMdof63Uu918OftrneThGLWQcapmPq2+/VpvQr2k+5l8estKf4YArgd9sTmM7aUjV12vt96X2Q52rczWOfyvcOjoHtf1CKRJjodgNoV0/jmS/ynvJZGdlzKv7LdXQ81Nt1UItGGCAAQYYYIABBj7CwEcMUkjlAvF1Bpov7p89t8IFf1ytkz5mwccQeKQhyrF2w7BCKFbeovoVEo78tsxZwJO0229fC6cqDkO7cYVfJeQYA50w5hAiZeN/+jP9QpvvCoymP6R9O5WwJxtfUsPV0C5sN05LPi9ljcfjRz957fL2qgFw30hxy/I0pn7/hXFl/RjDvxUT13ulNtkxjn+uYBraDT/3xSj7EiA2hnb97kXtir6GGrXZyuvZclzbqBkDDDDAAAMMMMAAAx9iwER/yES/LrSqXpx+kKPmi/tna9J4wf+i/gyH6cOMWUAT+jF7fiu0mx2nXo/Q/TG0K25hDQFLGubUQrtwC++uFWeZ4bY6p8HP4z2jCMRiMFYNdPqBlkHRuH91+4bQru9HOGyttnGVXOjVUhuPsfQ1qc7pxpeMVPfJ+zPMcaOHrD/ZPB0P7Yb24+Skt1enxx82agm/g5fV8DMed6hNyzHzeq3VwGtqxQADDDDAAAMMMMDARxn4qMEKruLFpMfjFpov7p89t9rCpLAK7rlg4LH6aBasxOCncvyVsKYacFXNLYRww7Erq6G+FrYfnw+Z43TrbNMfs7GtKdQaQ8ok5Nn6cTvA6fudho/1oLH8hthALa5CfNZTw/4rc7pYy1n98nbaLeT7PT67Lwk6Dx0rWhomseI4umwe++gj6Ve9NsHq5KoYX2zX4/H3YrVTOwYYYIABBhhggIG/b8CFRP2CS13UpWKgXLKzmOYUAc2hN5IdoV0ZtrUGFUm/Ht8g+nguhA7L3+q53L8QAq4EJI82wjGm0GtsMx3PUPNYz+U2HyFPMictgUmY0vEbUZN9pz5VHDz63/ha8Rl/y+FTGF9ckfd/QrvWWz/HsY/WqvXqB5DO5d66xdWGwwLQS/gylAPHG+q9GbKNnyGYGFj9ce14Y01a/HmfbTyHDthRW7VlgAEGGGCAAQYY+AMGTOIfmETp+ksv6MbgZOGKvRpOzNq/dJfL3nNrvd2F7mw/fb+Hb4Gd9XGtf3l4tHSOhMBrqQsxaFtpJw18hoMt7JOFkAvb7Bpf0qfh2C8+ZtaXS3e737rL47lrd0u+SKNW2xB6jnVdC4cex0zG8+Rz63O6NNeVVZF9XQ8EbLV6ZH16dz2yxubjFcS9zlptrj2nvgwwwAADDDDAAAMMZAayX4Q/T17wwsXTLgNLAcGLwo5dfRntt6+Se81c9yVoCkJjcPfy2lRuXT3B+0Ck0VSbV/c31nqeWRXPvDPszH3913q8ur6O598aDDDAAAMMMMAAAwww0GYgvzA6cpFvHzVk4I8YuNy6+8YqsJfP9fXe+E2c4XPg3rHSqfwsuZePse3NuPijdc4w8X/WpjngPVTvP3IOG3txHpnX/3nOaps/BhhggAEGGGDgaQNPH8A/kF0kMcAAAwwwwAADDDDAAAMMMMAAAwww8FoDQjvJLwMMMMAAAwwwwAADDDDAAAMMMMAAAyczYEJONiFS6dem0uqpngwwwAADDDDAAAMMMMAAAwww8BsNCO2EdgwwwAADDDDAAAMMMMAAAwwwwAADDJzMgAk52YT8xuRXn/0/FgwwwAADDDDAAAMMMMAAAwwwwMBrDQjthHYMMMAAAwwwwAADDDDAAAMMMMAAAwyczIAJOdmESKVfm0qrp3oywAADDDDAAAMMMMAAAwwwwMBvNCC0E9oxwAADDDDAAAMMMMAAAwwwwAADDDBwMgMm5GQT8huTX332/1gwwAADDDDAAAMMMMAAAwwwwAADrzUgtBPaMcAAAwwwwAADDDDAAAMMMMAAAwwwcDIDJuRkEyKVfm0qrZ7qyQADDDDAAAMMMMAAAwwwwAADv9GA0E5oxwAD0cClu1ziz+d7vN6/u9ub+ne5XrtLyx+x673r7tff+Gb/y/p86W7fXfd9u/yyfp/vvPH+Zk4YYIABBhhggAEGGPi1Bn5tx13ItQQMtnmDk2t3794XHv3XN9M+kPq+rYdX/Tbdvbv+tK3Lrfvu+qbfFJi1hnFjP14VJl1u3939uuN9eGj/P9T/p+f766sbqL1zzv/DmP7r+W28b/h7sOPcVX/1Z4ABBhhggAEGGNhvwD84XUQxsM9AWAG0GW7tPxn/+xtYHyD1/20FUmG7dwRH1+6+EBrGAOf73rgibnf9G1d2xfBwoZ/7LH11X2shXGxrmJXif94VXu6u2/veP8Kcv8PZ+/q8e/5PVG9954IBBhhggAEGGGCAgdMZOF2H/ntwASkTWwZCmPDDq+3WApwizzkWKI5hZNMqun614RtWvY1jnK08GxO72fMvDjxCGLkxry/vy1jLcg6T39MQdWj+twZ21+uuFZrvC4e9x229x3mdEQYYYIABBhhggAEGTmHgFJ0Q1L04fHByvdf1EJy8aqVVNvcxOEsSm9qP72h7DMzSgGjN0eV2Tz5fLg2eNkKvbLz5PMWVfnnoGI5d9ituWz6/1ufN18ZAbu2YTcHeyhjnfWhc4Tce81eHdl/7wl6hXX5+zO14XU0YYIABBhhggAEGGPjjBkzwH59ggeiuAKXtfHhfaLfd/hBkLIZ21+5+cBXWehjVECY+2j36ZRZjoJONbavd7+5+e+Xtsn0f1kPHkOu98pbNPaHdWI9Hrbe9nO/9bZznYaHmev+Fduv1Od/c6q85YYABBhhggAEGGGDgxQYU9MUFFZK9ISQ72xw1hXaXW3fb8wUDjXVbDe2G1XJHAqUkDAqp1Gx93/ft2t3ulS+p2LlCb2kuQ7NpYJYEdlmQ179nhdfefbvsvK9JnRrna36M8j03HHNtdd90jD3blu2c6PfRTLcRkK5af1n9T1QXY/L3kwEGGGCAAQYYYIABBnIDLlimC2K1UIs2Ay2h3RA4HF4Rtbziay3IGF5rWME0m+c0qFvrc79d8Xpos/8G1MvxN9dZ8LcRTlX6MQR5t1d/s2zZj7BKrC1ga7MUA8i2Y5b9aW3jfNsFN+sB8+J5drl199sT3vI/gsfdOo7aMcAAAwwwwAADDDDAwHsNnO9ibhYovLcAgKnvbgOLYUKsZVxJNFshtuN8GxrpM7J8n+XQbrztsAjVts+nEATlnyOXtzkdowytwr5lH6ftl46TPl+2vxxYhuOWr4/7x7WBe8cf5yruv/A4jHHYNl0NGMYxTtW0564+hP43hXaxr7uOn9b6TD9futtGyDo/z0bjY6WbahbPSY+73+f2ncdnsqUv5o4BBhhggAEGGGDgzxj4MwNxQeKi9M0Grt19DOFiSFMPDdJgYR7w7HnzDO3kx1gM7YaN11cuVdseB9MWvPUBU9Kfft/7tRsPMYVW409Nxxx2no55ud2663j7a3/ssCJrduj8ibhdQ0ha62s/j0M7G2HYcl+m/ldrvHZuxiAuH9HKb9/d7XZLvgTkb72H1+anWoyNudo9D2tz5LU3v7f+LcPsmU8GGGCAAQYYYICBFxpQzBcW04XNn7y4LVZyfd+6273ruu/v7rsrQrIYwDSER03uYoKRBBT10C70sSkky+ZoHFty/Kxfsf1qapI8ubR/1lbtvWYMOCv7x4BsFowOfSrq/vXVFLplYyv6ttjeY7tQq7w/tedq41x7LtQgO+71Plthudb33/5arH0UFWqxXNtA4NW3Qq/Nkdd+uzH9Z5gBBhhggAEGGGDglxowcb904gSEjzDlhYZj6BbTg8fjd5/RPT7PbQgNvm/d9fb9eO5rDLiy8OXpPs4DnVpoNzxXCb42bdcCsHEc02fXXbvbWz4/LAaGty6UsZjHWt++vsKqvspYw+bHg5ww7HkYONUwzEUejI5jKMPbnfPez1923HEOsud2HnPqd1HXEx3neqt8scmjf7V692OJbo7P9W+ojT6e1625MTcMMMAAAwwwwAADP2hAsX+w2IK2xwX5+dyNOUmfzHXXsp9jmBdDlGHbYTXduBooJHrz/crjHPj9es9vvZyFdkPfKn3ebGsMBIe+P9LJ4YdhnNfxFsyWVV+P4uV9XTu3phqOQVxZ92GDclxLQc54jMMrHOtBUBYq9f2ZHX+s4atDzVjPSji5VtPf8VqoWRS3GHIPrmuexnPu1TXfPF/O9571O+Zb3cwTAwwwwAADDDDAAANPGFC8J4onhPuQC900YOq9ZL8Pv5Th0vvOq3lod+2ul/3t1VbnhaEUK5gWVx/G2GV6XAxgCiflGKrtDk9Ox279qbUP+Xmfh29D/2KDY1DXd2d27CLMzY+5f07i/qH9dVNlmBv3/dnHKYCb1SaeJ7GO2eO9u/XLK8ugNnUSUFSC8Hyufna8x+dUP9WOAQYYYIABBhhggAEGDhhQtANFE9alF9d//ud5SDDkCY9VVz+78qcMvFb9PgK3MgDqx1Q+t3Dr6XiMWigztR1qEFciTs9X3l9C+tVdEjchn8nDwhicTe2GeVhuY/vbSBf79ahTlixNodLwerhFeurPVxduiZ7XcbGdZMxr2+S+ihoOL8Z+1laiFds3tpn3J9Q6ttL2WO9LP49ZzYb+bHupmRj6OM7VsoNXjN8xcg/qoR4MMMAAAwwwwAADDPwnAwr/nwov+DsUJvy819qqp1moMoY6t70r3rIApi0aObzVI2QM4Vwt9KgHJcth2XT76PI22fnVN1C55bPebh/sTIFYKFU9GOrbqM1T1vaKt9q+Q3tjzR7BU/9kUcf099b2lrcLYVbrHNfmcPnYB4K4ZKzLxz1wTvbny+qxQ1/nYV8MSpcdvLSfK2a0c2De1dPffQYYYIABBhhggAEG9hrwD28XXwwsG6iHB2mgE/etPRdfW30cdqzcernwZjYETKuBx/H5DGPovxU3/teHZlthT9zmeJAytFsJ82LdHrVdCnvGGva93hdk9bUag7Ks/fS5eXgY2gjbVIOlhbnLxhNLvPC4No5ayBiPvfR4vY+3pL7JzlK7tef76Vob39oKxiNjr/XBc8ffJ9RO7RhggAEGGGCAAQYY+DEDP9bQ3jTR9hsX/k6S99tdCggeIVI2R/WA79Xz9LrQbimMK8O3sN1qyHJ0peFYv6GeWWg2zW1e6xCUpX0Jc7QRAmXzNB07zE1tfGkgd+ku6QrKYaz37vrkmJdcDOOt3Lqcbv86A2UtfuL3tLb19jY9LFhJa+Tnem3VRV0YYIABBhhggAEGGPhVBn5VZwV5q+GDuXzpm88QytTDoDxImuoeAqQy9Jpef0X/3hnY1MOSeVCWjyOGf8fHvdZuejvtsF2/Mm1YLRb69eztqWHOpttww9hqQd40j2Gf2I/p+bwuB54fzW2t3lvy93T7P/b+EupbHedqGLod+P2eGhzw8WPzo28cMcAAAwwwwAADDDBwEgMm4iQTIZA81QXpGAgtrOhZDk3GAOuNtyD+eGg3BkkLd3GOT/eB3fEvgpiFdpXANARl393tektu3z0eFIbzfmGeV4Ojr+6r0r9XvI/UA8TyPXqhz6c6f8o+V34PJ1FXfg5k//QjzLtcsi8sCXV/ds4rfflttdNffy8ZYIABBhhggAEGGPgUAy5gXnGx7Rh/y9FWeLIc2sUPyk+Chxe/mf54aDd+5ttwS+r1locsIW3rrk+OMRxm/PbYkNpkYc3werxlNAvM+pC0XCW3w+JSOLcxrtCfV6+0W1l9ltW3dbsddciO/0P7ZfM4tjk8l8xnsc1Q9zcG4t7Hf2ju/4c3bX7KP2qNk3UGGGCAAQYY+GsG/CPdhRoDmYExkUk/Ny17/St8++rybZnjSqh+DdrCSr3yeHt+/9nQ7tpdryGI7OsxCzOLUGXPONJtQ0Y2hnbZH5lx5eKjjuPv6RdO9Ds/Xt9jeXnF2nJ/Yig7riz8rt8+nY6t9efALgmssjok43pRzVv79bbthnGkq+bCfMzOu3G83Xf4gpTHKryl+nj+r/0jxXiYZoABBhhggAEGGPhkA8nFIAifDMHYe/+NgcgQsKyt+IlBQ7yndG3bnefdT4V2MaDrb3sNwc0URj6Ck1nwkryfXO/TbY4bY6yFZKH9NNSJAd6tu33nKxn7/R992mjrEUKFRodVgpfbPVlBGMZZP16xyi1ASPZNxt/aj3674TiNAeCr2tzTv5dvWwno+nEtha9jfbpnVlW+fAwH51o//K1hgAEGGGCAAQYYYICBdgMuPB4X8e1FA+wv1moxsLt29yJ0C7nJLbuFs3T0yBlicDc8Nqyk2qjt+0O7EIrNVhKOA8pWQm2EdoshTDHG4dCPwKYIxvptx7kJQVotVAv7ZH0r2sjnpwyNkjYXxxS2yccUjjOr1WrbxXvuWNc8JKy1FfYbNi885mMrjr+nL2/edhxqOCMe8933d36OlWPq3bfP73lrUI7L7+aKAQYYYIABBhhggAEGVgwozkpxhHNvvog/Te0XA7vx/MhCo63bY997Tr09tOsjlVkoNIZI5fOLAde4eqzcfsFTFtpdr9ln5M1X3NVCu7haLV2ZtzwPwzGz0GgKBodEadbv5RAtBop5mLfcdma+cJW9Nn6WYD4XoR95wNfY1kLt8zZffawx1Awx3fi/YY7CvGYv9PCeX7X4X8b56ro53ntdqq/6MsAAAwwwwAADDPwaA7+mowI0F6PvMbAWPKU1z5YJvefz6lreON+10uoRoswCqxi8VFYJrtRuON7sWLX3m4UQbgy05mHYwvYx5Boyx3hLb6W9/rgL/Yo1yFd0bQdlE41KjVJD6c/jTnlbZX/HsHAMs0L//nCwFec8yfLW61PWy+8t7yG24YQBBhhggAEGGGCAgV9j4Nd09D2BTXoR7eePrPH1tn6ba/ZmNqUzy5+/9U5HMdRYCJ2yvh7ox/Vehk4rgd1w/BAq1YKVEDCVx6u935Sh2NhmOsaQVI6rsJbbfKx6Wwx9+mO39Gns51DvlpAshmtJwyufv7YrfItzHg9drhA8MM/POvmZ/aO9OPDxMXXxZ8deO0889zPu1FmdGWCAAQYYYIABBk5l4FSd+cjQyAnxuwzWV2P91BjGIONHgpsxiNpoK80xi3il7XbHMZQabvnMwrmipll41RKkFfsP3/q7Y7++L28IiMIQdwTFfTD1KPKOwPGPBVqPEsyRJc98bn38HZmf72qiJgwwwAADDDDAAAN/wIBJ/AOTKOz84YDicrtln7v2k4aG0HAjSHu2P+2r5F7z/hHysZVbWuP8xuDuDWFaVrO+nZfXeGWFYBzfymM/J7UVjVm/V/b/S9s9Arx3O/iQev4lG8bymvdkdVRHBhhggAEGGGDgNAZO0xHBkwtEBpoMXLv7ywOl5H3gcuvut4YAramvL3xzagAACOtJREFUyXHXtr/e2wOpPduutfnDr81vPW6szQ/30x9n88IAAwwwwAADDDDAAAMMnMbAaToisHFxzgADDDDAAAMMMMAAAwwwwAADDDDAQDAgtJMgM8AAAwwwwAADDDDAAAMMMMAAAwwwcDIDJuRkEyJN9v8oMMAAAwwwwAADDDDAAAMMMMAAAwwI7YR2DDDAAAMMMMAAAwwwwAADDDDAAAMMnMyACTnZhEjSJekMMMAAAwwwwAADDDDAAAMMMMAAA0I7oR0DDDDAAAMMMMAAAwwwwAADDDDAAAMnM2BCTjYhknRJOgMMMMAAAwwwwAADDDDAAAMMMMCA0E5oxwADDDDAAAMMMMAAAwwwwAADDDDAwMkMmJCTTYgkXZLOAAMMMMAAAwwwwAADDDDAAAMMMCC0E9oxwAADDDDAAAMMMMAAAwwwwAADDDBwMgMm5GQTIkmXpDPAAAMMMMAAAwwwwAADDDDAAAMMCO2EdgwwwAADDDDAAAMMMMAAAwwwwAADDJzMgAk52YRI0iXpDDDAAAMMMMAAAwwwwAADDDDAAANCO6EdAwwwwAADDDDAAAMMMMAAAwwwwAADJzNgQk42IZJ0SToDDDDAAAMMMMAAAwwwwAADDDDAgNBOaMcAAwwwwAADDDDAAAMMMMAAAwwwwMDJDJiQk02IJF2SzgADDDDAAAMMMMAAAwwwwAADDDAgtBPaMcAAAwwwwAADDDDAAAMMMMAAAwwwcDIDJuRkEyJJl6QzwAADDDDAAAMMMMAAAwwwwAADDAjthHYMMMAAAwwwwAADDDDAAAMMMMAAAwyczIAJOdmESNIl6QwwwAADDDDAAAMMMMAAAwwwwAADQjuhHQMMMMAAAwwwwAADDDDAAAMMMMAAAyczYEJONiGSdEk6AwwwwAADDDDAAAMMMMAAAwwwwIDQTmjHAAMMMMAAAwwwwAADDDDAAAMMMMDAyQyYkJNNiCRdks4AAwwwwAADDDDAAAMMMMAAAwwwILQT2jHAAAMMMMAAAwwwwAADDDDAAAMMMHAyAybkZBMiSZekM8AAAwwwwAADDDDAAAMMMMAAAwwI7YR2DDDAAAMMMMAAAwwwwAADDDDAAAMMnMyACTnZhEjSJekMMMAAAwwwwAADDDDAAAMMMMAAA0I7oR0DDDDAAAMMMMAAAwwwwAADDDDAAAMnM2BCTjYhknRJOgMMMMAAAwwwwAADDDDAAAMMMMCA0E5oxwADDDDAAAMMMMAAAwwwwAADDDDAwMkMmJCTTYgkXZLOAAMMMMAAAwwwwAADDDDAAAMMMCC0E9oxwAADDDDAAAMMMMAAAwwwwAADDDBwMgMm5GQTIkmXpDPAAAMMMMAAAwwwwAADDDDAAAMMCO2EdgwwwAADDDDAAAMMMMAAAwwwwAADDJzMgAk52YRI0iXpDDDAAAMMMMAAAwwwwAADDDDAAANCO6EdAwwwwAADDDDAAAMMMMAAAwwwwAADJzNgQk42IZJ0SToDDDDAAAMMMMAAAwwwwAADDDDAgNBOaMcAAwwwwAADDDDAAAMMMMAAAwwwwMDJDJiQk02IJF2SzgADDDDAAAMMMMAAAwwwwAADDDAgtBPaMcAAAwwwwAADDDDAAAMMMMAAAwwwcDIDJuRkEyJJl6QzwAADDDDAAAMMMMAAAwwwwAADDAjthHYMMMAAAwwwwAADDDDAAAMMMMAAAwyczIAJOdmESNIl6QwwwAADDDDAAAMMMMAAAwwwwAADQjuhHQMMMMAAAwwwwAADDDDAAAMMMMAAAyczYEJONiGSdEk6AwwwwAADDDDAAAMMMMAAAwwwwIDQTmjHAAMMMMAAAwwwwAADDDDAAAMMMMDAyQyYkJNNiCRdks4AAwwwwAADDDDAAAMMMMAAAwwwILQT2jHAAAMMMMAAAwwwwAADDDDAAAMMMHAyAybkZBMiSZekM8AAAwwwwAADDDDAAAMMMMAAAwwI7YR2DDDAAAMMMMAAAwwwwAADDDDAAAMMnMyACTnZhEjSJekMMMAAAwwwwAADDDDAAAMMMMAAA0I7oR0DDDDAAAMMMMAAAwwwwAADDDDAAAMnM2BCTjYhknRJOgMMMMAAAwwwwAADDDDAAAMMMMCA0E5oxwADDDDAAAMMMMAAAwwwwAADDDDAwMkMmJCTTYgkXZLOAAMMMMAAAwwwwAADDDDAAAMMMCC0E9oxwAADDDDAAAMMMMAAAwwwwAADDDBwMgMm5GQTIkmXpDPAAAMMMMAAAwwwwAADDDDAAAMMCO2EdgwwwAADDDDAAAMMMMAAAwwwwAADDJzMgAk52YRI0iXpDDDAAAMMMMAAAwwwwAADDDDAAANCO6EdAwwwwAADDDDAAAMMMMAAAwwwwAADJzNgQk42IZJ0SToDDDDAAAMMMMAAAwwwwAADDDDAgNBOaMcAAwwwwAADDDDAAAMMMMAAAwwwwMDJDJiQk02IJF2SzgADDDDAAAMMMMAAAwwwwAADDDAgtBPaMcAAAwwwwAADDDDAAAMMMMAAAwwwcDIDJuRkEyJJl6QzwAADDDDAAAMMMMAAAwwwwAADDAjthHYMMMAAAwwwwAADDDDAAAMMMMAAAwyczIAJOdmESNIl6QwwwAADDDDAAAMMMMAAAwwwwAADQjuhHQMMMMAAAwwwwAADDDDAAAMMMMAAAyczYEJONiGSdEk6AwwwwAADDDDAAAMMMMAAAwwwwIDQTmjHAAMMMMAAAwwwwAADDDDAAAMMMMDAyQyYkJNNiCRdks4AAwwwwAADDDDAAAMMMMAAAwwwILQT2jHAAAMMMMAAAwwwwAADDDDAAAMMMHAyAybkZBMiSZekM8AAAwwwwAADDDDAAAMMMMAAAwwI7YR2DDDAAAMMMMAAAwwwwAADDDDAAAMMnMyACTnZhEjSJekMMMAAAwwwwAADDDDAAAMMMMAAA0I7oR0DDDDAAAMMMMAAAwwwwAADDDDAAAMnM2BCTjYhknRJOgMMMMAAAwwwwAADDDDAAAMMMMCA0E5oxwADDDDAAAMMMMAAAwwwwAADDDDAwJkM/APlvab95+UKIQAAAABJRU5ErkJggg==应该想表达是这样吧

皇上快溜 发表于 2023-2-14 18:26:06

mahuan1279 发表于 2023-2-14 07:39
什么叫可对称的一对?任意一个都满足凸字形的对称性么?

就是完全一样,斜放置那个凸字形线框,直接就是水平放置的那个复制出来,尺寸比例也没缩放,只是放在两处,放置姿态(角度)不同。求证二者呈对称关系

皇上快溜 发表于 2023-2-14 18:29:19

就好比左右手掌,二者可镜像重叠,平移对齐却没法完全重叠

皇上快溜 发表于 2023-2-14 18:32:21

不好意思,各位。此前凸字形描述是错误的。应该是类做左右手掌那样的图形,求对称称关系

zml84 发表于 2023-2-15 06:54:13

纯数值算法,可以实现。类似于相似判断。
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