挂住的意思就是啮合而不掉落,自锁的意思是不再转动,我是这样理解的,不知道对不对
那就是说:蜗杆转动,齿条挂在蜗杆上跟着上下移动,在没有任何依托的情况下不掉下来?
齿条没有任何导向而不掉下来,不可信!
齿条至少也得有一个导向槽(孔)之类的呀!
有,则不存在挂住的问题——根本跑不了;
没有,也不存在挂住的问题——根本呆不住!
本帖最后由 hxt610 于 2021-10-22 10:02 编辑
如果弄不明白就老老实实算每个件的自由度;
6个自由度,你没有限制的那几个就是允许其移动或旋转的。
所谓挂,简单理解就是只依附于这一个零件而没有其它约束,
那么图中的情形能形成运动付吗?
更别说齿条再去带负载了。
hxt610 发表于 2021-10-22 09:59
如果弄不明白就老老实实算每个件的自由度;
6个自由度,你没有限制的那几个就是允许其移动或旋转的。
data:image/png;base64,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大佬好,是有导轨槽的,你看看这样的结构可以实现上下运动吗
晓昀 发表于 2021-10-21 18:47
不可以吧。蜗杆有端面模数和轴向模数,从你图片看,齿轮是直齿齿轮,没办法啮合。
hxt610 发表于 2021-10-22 09:59
如果弄不明白就老老实实算每个件的自由度;
6个自由度,你没有限制的那几个就是允许其移动或旋转的。
data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAkkAAAGcCAYAAADNmzQ1AAAgAElEQVR4Aeydd3gVRRfGN6GEpiLSO0hHRcBCCUmoCkpRREBASmgivYOA9K5SRKkizQJ2iqCIgkgR7H4WUFQUVIQgKr283/PuZpLNsnfv3pp2/phn7t27O7s7+2bnl3POnNG09gsgRfpANCAaEA2IBkQDogHRgEUD0iGWDhFoFGgWDYgGRAOiAdGAaIAaEEgSSBINiAZEA6IB0YBoQDRgowGt3QJIkT4QDYgGRAOiAdGAaEA0YNGAdIilQwQaBZpFA6IB0YBoQDQgGqAGtHZPQ4r0gWhANCAaEA2IBkQDogGLBqRDLB0i0CjQLBoQDYgGRAOiAdEANSCQJJAkGhANiAZEA6IB0YBowEYD0ik2nSL/Qch/EKIB0YBoQDQgGhANCCQJJIkGRAOiAdGAaEA0IBqw0YDWbj6kSB+IBkQDogHRgGhANCAasGhAOsTSIQKNAs2iAdGAaEA0IBoQDVADWtv5kCJ9IBoQDYgGRAOiAdGAaMCiAekQS4cINAo0iwZEA6IB0YBoQDRADQgkCSSJBkQDogHRgGhANCAasNGAdIpNp8h/EPIfhGhANCAaEA2IBkQDAkkCSaIB0YBoQDQgGhANiAZsNKC1nQcp0geiAdGAaEA0IBoQDYgGLBqQDrF0iECjQLNoQDQgGhANiAZEA9SA9uA8SJE+EA2IBkQDogHRgGhANGDRgHSIpUMEGgWaRQOiAdGAaEA0IBqgBgSSBJJEA6IB0YBoQDQgGhAN2GhAOsWmU+Q/CPkPQjQgGhANiAZEA6IB7cG5kCJ9IBoQDYgGRAOiAdGAaMCiAekQS4cINAo0iwZEA6IB0YBoQDRADQgkCSSJBkQDogHRgGhANCAasNGAdIpNp8h/EPIfhGhANCAaEA2IBkQDAkkCSaIB0YBoQDQgGhANiAZsNKC1mQMp0geiAdGAaEA0IBoQDYgGLBqQDrF0iECjQLNoQDQgGhANiAZEA9SAQJJAkmhANCAaEA2IBkQDogEbDUin2HSK/Ach/0GIBkQDogHRgGhANCCQJJAkGhANiAZEA6IB0YBowEYD0ik2nSL/Pch/D6IB0YBoQDQgGhANaG2eghTpA9GAaEA0IBoQDYgGRAMWDWgPPAUp0geiAdGAaEA0IBoQDYgGLBqQDrF0iECjQLNoQDQgGhANiAZEA9SAQJJAkmhANCAaEA2IBkQDogEbDUin2HSK/Ach/0GIBkQDogHRgGhANCCQJJAkGhANiAZEA6IB0YBowEYD2gNPQor0gWhANCAaEA2IBkQDogGLBqRDLB0i0CjQLBoQDYgGRAOiAdEANSCQJJAkGhANiAZEA6IB0YBowEYD0ik2nSL/Qch/EKIB0YBoQDQgGhANaK2fhBTpA9GAaEA0IBoQDYgGRAMWDWitn4AU6QPRgGhANCAaEA2IBkQDFg1Ih1g6RKBRoFk0IBoQDYgGRAOiAWpAIEkgSTQgGhANiAZEA6IB0YCNBqRTbDpF/oOQ/yBEA6IB0YBoQDQgGhBIEkgSDYgGRAOiAdGAaEA0YKMB6RSbTpH/HuS/B9GAaEA0IBoQDYgGBJIEkkQDogHRgGhANCAaEA3YaEC7fzakSB+IBkQDogHRgGhANCAasGhAOsTSIQKNAs2iAdGAaEA0IBoQDVADAkkCSaIB0YBoQDQgGhANiAZsNCCdYtMp8h+E/AchGhANiAZEA6IB0YBAkkCSaEA0IBoQDYgGRAOiARsNSKfYdIr89yD/PYgGRAOiAdGAaEA0oN0/C1KkD0QDogHRgGhANCAaEA1YNCAdYukQgUaBZtGAaEA0IBoQDYgGqAHtvlmQIn0gGhANiAZEA6IB0YBowKIB6RBLhwg0CjSLBkQDogHRgGhANEANCCQJJIkGRAOiAdGAaEA0IBqw0YB0ik2nyH8Q8h+EaEA0IBoQDYgGRAPafTMhRfpANCAaEA2IBkQDogHRgEUD0iGWDhFoFGgWDYgGRAOiAdGAaIAaEEgSSBINiAZEA6IB0YBoQDRgowHpFJtOkf8g5D8I0YBoQDQgGhANiAa0VjMhRfpANCAaEA2IBkQDogHRgEUDWqsZkCJ9IBoQDYgGRAOiAdGAaMCiAekQS4cINAo0iwZEA6IB0YBoQDRADQgkCSSJBkQDogHRgGhANCAasNGAdIpNp8h/EPIfhGhANCAaEA2IBkQDAkkCSaIB0YBoQDQgGhANiAZsNCCdYtMp8t+D/PcgGgiLBmKaDUWLuwdgbKMuKQq38Td5P8n7STQgGkhVDWitpkOK9IFoQDQQDg1Uu2ck+jbugXWx9+FirVquCvflMTw2HNco55C/BdGAaCBJA0kfBJbkBSwaEA2EQAN5m0/AmIadcaBOfVdQ5ARPbINtsU15d8lAJhoQDYRcA1rL6ZAifSAaEA0EWwN5752AMQ0641jtegHDkRWc2Cbb5jmCfd3SnvwtiAZEA0kaSPogsCQvW9GAaCAIGgglHAksyeAlY5ZoIKwaCOvJgvACluuVPxDRQNrVQLVmI4PiVrPCkLfve6PvAs8t2ki72pBnI88mXWogXV60wJYMBqKBgDRQo99CxM960bG0n7AMbcYs8lqKdnpCv5bmdw0IiWvNGyCp3+mC4zXIO00GY9GAaCBoGghaQzJoyctZNOCzBkp2nYvoIUvCXiYsexO7d+92LOvXr8fatWu9lrZjF2FBq+5+xR0l1KmHvY2a49lW3VMUbuNvCoB8qRmrJO81GSRFA6IB3zUwDVpLFlPfGRvUD1JLf2RODeRqMxP5OzwR9tJ/7lpHUPEGMqH83Q0kvbZiBX7u0MEnmPmlQwfsHzECW55+2iuAcR/uy2N8AaU36t+HUm0m4/p2s8Ja8rSZkfiSzZx/R/L+lOee4TSQ4W5Ip0ARqjxX3zTQfspqrH/3g7CX97bvTLeQREA61qKFa3g5+sADeO+JJ7yCkSfrFY9lG25h6ei9zfHcomVYtOKFsJVHpy8TSJJ3sGggI2lABlPfBlPpr9D2V5NRyzBr1Yawl5c3vpdmYSWU1iKntr1Zkn7u2NEVsBxr3jwgOLJCE2GJbbqBJV6j9fhQfl+y8kWMeGp5qpe6A+bLQJ2RBmq5l+DpuYWPY5jGA6RIH1g0UKPfs45Bvd6Cfv39fcHLbwuseIkVcgKbYP7mBEkH4+NdQcrBbt1CBils2w0o8VpDCUZpse3x81egzZiFqV6Kdpwt71bLu1XG23TGHPLA0vYDK9llDqIHLw57cRPYG8wBWdpyDqJOjf7xBEluAWn3uHEhhxOeQ0DJe3B9aoEcg/pr9pmXolz34EwBJwGn9KMBrcVUSPHeB7kemIH8Dz0R9pKWA3tTY+CWc4YPpuwgyQ2UnI6JcRWUHayBm8HdPKc3WAoHtAXrnjJyOzX7zJUxR8bd9KMBASTvgMQ+aj95VdiDehlInJYDewVYwgcsqdHXVkjaMXWqVxAhrDCgO9yD/IYlS1yBUiCB4+G+p4x6PoEkd2OOjM1ppJ/S24NoMpKBvevDXiSwN2MDQWpASFo/pxmSCD6nY2MdISncFiQrRLixKPEeUgPirNeamb8LJKWRwV+sWe6sWf5CUo2+zyB+5gthLxLYK7CS1uEio1yfGZLczGRzk/co1HDAa/Dmdgv3jLdQ33N6a18gSSDJX+5IleP8DQqesOwNmYWURmYhZZRBWe4jbQGwgqT9I0d6BY+0FO/jJm4qLV1veoOcQK9XIEkgKVVgx1/LmQxMaWtgkuchzyOtaICQpMf6eHGzEaICHTiDfbw3sKPbjfcW7PNKe95n2gkkCSQJJImFRaxsooF0rwFC0pE2bRytSEceeCDNggavzcn1xnsTqPEONcHuo5qPzIHWfIoU6YP0oYG08l+rXIdYUEQDaUsD/xs2zBEyUmsmm9tBWw8295IaIC1awdzeX3rdTyBJADFdQbIMTGlrYJLnIc8jLWhg79atXmezMSVAWh+ovaUtkNluYklKVwO2WJ/Cb31KCy9kuQYBA9FA2tLAryNGOFqRQrncSLDBy9vyJd/06ZPmYS/YfZKa7YklSSxJ6QpMZXBKW4OTPA95HqmtgU82bHAEpJONG6erXEN0u/GaneKTJIg7fBYlgSSBJIEkCdpN90G7qT1Qy/lTDxZPdOrkCBTpMWs1r9kJkiR3kkBSuhq4M6TbbXL4XWlu+lEGo9QbjKTvpe/Tmga+WrXKESbS8mw2by4kb7Pd0iP8ebvntPi7YUnigChF+iAdaCCtvaTlegQcRAOpp4GTrVs7QlJ6dkvx2p2sScdatJDYpLWhtygNmLEMVbo/IZAkkJg+NCADUuoNSNL30vdpSQMH5s51hIiMEOB8ID7e8R4lE3foIYnWrTaPPZs+BkgBGXlOaeklLdci0CAaSD0N/NusmUeASOs5kdy6lbzlTjrZpIlYk8JgTdIh6d7J0KRIH6R1DciglHqDkvS99H1a0YA3K9IXgwZlGHjgvTi53XZMmZJh7tUtPIZ7P4EkAcR0A8hp5SUt1yHAIBpIPQ04zWjj9PlwD6KhPp9TSgBZriT0LjcDkiZBu1dKxu8DAmE6fs4yMKXewCR9L32fFjTgbUZbRozT4T05WZNkpltoQanNY8+k74EzPQ/6cu2+aS8tvKTlGgQWRAOppwEnKxJjkUJt1UmN9r3FJok1SSApXVs/BIR8AyGn/pLBKfUGJ+l76fvU1sDna9c6WlQyUiySFca8xSal53QH1ntNa9/FkpSO3U9OQJERf0vtl7ScX0BBNJB6GjjSv79HSDoTG5uulh/xFQS8WZOYLsDXNmV/dxYogSSBpHRjqZMBKvUGKOl76fvU1IC3NdoO9O+f4SHBW94ksSa5gx5f4VCHpHsmQZMifZDWNZCaL2k5t0CCaCD1NPDriBEerUgMan535coMD0nesnBnhASavgJMOPZvM/oZaPdMlCJ9kPY1IINU6g1S0vfS96mpgbP163uEJLrh1q9fn+EhiUDgZE2S5JIhsiQJJKV9OBCAM55Rar6k5dwCCaKB1NHAN4sWeQQkWpHoissskLRl/nzHvpDkksEHJbEkiRUt3VgSZZBKnUFK+l36PTU18GePHh7BgIvc8toyCyTRmsTFbT3lTfq5Y8dMYVELh5tNnUMgSSBJIGm3DIKpOQjKuUV/njTgNWB77txMB0nekktKAHdwrUkCSQJJAkkCSfpA42mgku0CMamlgZ/Hj/doNTkbF4e9W7dmOkjylg5g38iRYk0K4sK3AkkCSQJJAkkCSaKBNKmBf5s18whJDNhW8JaZ3G0SwB1cS5Fyq3mqBZIEkgSSZIBMGmzUoCO1WI9SWwPe1mnj7+oaMxskcb02T3FJ3C7ruQUPpNqMXgDtnglSUrsPmskz8KpD9UKUWgZw0UDG14BThu1/mzZNAiRqIbNBEq0eJxs39ghKkoE7yJDEAVqK9EFa14AMjBl/YJRnLM+YGmCskZOl5IcZMzI9JDH2yKmPGLvkyYUk291DlG5JSuuDo1yfABw1IAOoDKCigcyhgQNz5zoCAGe9mbWQGS1J3jJwcxacwJB7GPLUVwJJYkVLN1ZE80tRPmeOwVKec+Z8zk65kfibVReZEZI4qDMvkidrkuRMChyQ2McCSQJJAkkSuH3VoGMdhOR75oSV1Hju3lxttDJZryuzQpK3nEnicgsclASSQg1J48VVFix3qfXFKN9l4BYNZDwNeHO1qdxI5mefWSGJEOTJksTtskxJsCCJA7kU6YM0rgHzS1E+Z7zBUZ6pPFNqwFdXG4/JrJDkzeUms9wEkgRs0jjYBBO+ZRCVQVQ0kPE1cLZ+fY/WETtXW2aHJCeX2+nYWAneDjD7tu5uazoempTA+sAMA9KXgfWlp/6TATLjD5DyjDP3M/5m0SKPgET3kZ2rLbNDkrjcArcWeZrZpgduj1oQmgHN00CXkbcTlDLy/aX2vckAmrkHUHn+Gf/5OyWQtJvVpjSRmd1t4nITSBLwEPjSNaBeiFJn/MFSnnHmfMb+uNqolcwOSeJyCx0otRFLklh/UttC5Pb8MnBmzoFTnnvmeO7+utoEktZCXG6hhqTHoTWVIn2QxjUgg2XmGCzlOWfO5+yvq00gyQAEp8SSMsvNf4hqM+ppASQBxPShARk8M+fgKc89czz3f5s18xi07WlWm9JGZne3MS7JyeV2skkTmeXm5yw3gaQ0bj0RgEsGOPVClDpzDJrynDPPc+ZabE5JET3NalMaEUjy7nLjWm9Os7jkN3trk0CSQFK6cTOqF6LUmWfwlGedOZ71DzNmeISkk61bX7UMiVUXAknGAH+sRQuP/bhv5EiBJD+sSQJJJki62/RZLDjJFpy00hfWF6N8zxwDqDznjP+cnbJs/zR+vFdI2r59OzZs2JDpIeCbPn08QpIseGtvKfJmQdMhiXCQacu4THzv6ey5y2CZ8QdLecaZ8xk7Tf3/auVKr5BE3WzevDnTQ9J7s2d7hCTJvh0IJBEUpEgfpHENyACaOQdQee4Z+7kTgpzikdw+f4EkAwKc+nLL/PmZHiS9WY6svxuWpDQ+OArACcRSA25flrJfxh5U5flmrOdLd5qngd0py7ZVBwJJBiQ5pQL4fNAggSQf45IEkgQQ040FzfpSlO8Za7CU55k5n+eJTp08QhIDut3qQiDJgCQGaHuCziNt2ggkCSSJ1SWjWt7cvixlv8w52MpzT3/PnVP7PQ3o3P458//sdndfAkkGJNGl5tSnVneSfDf6zVM/iCVJLEliSXL5Enb7spb93A1q0k/ST05LkfzbtKlrQKKWBJKSB/vTMTEeQWnHlCliTfLBmmRA0lhod2e0ouAno91XJr4fGVRlUBUNZCwN/DpihMfBnMuU+PK8A4WkZcuWYeLEiVizZk26hwguQ+LJmsQ0AZ6sJrI9GTRVX7QZNT8DAlImBokMB7umZ+nLC1P2zViDqTzPjPk8mSjS02DubSkSqyYChaRx48ahXLlyePLJJ7FkyZJULc8//3xAIOO0RMmfzZsH1LaCh8xStxk5H9pdY6VIH6R9DVhfivI9Yw6c8lwzx3P1Fo/EpUp80UIwIKlIkSI6KFWoUAGpWVq0aBEQyHAJEk/wye2ZBXCCcZ8CSQKI6QaSfXlhyr6ZY6CV55x+n7NTfiRf45Gog2BAUqFCheBL6devH+bNmxf0snz5cmzbti2p+JNN/GTjxh5BiUkngwEQmaENgSSBJIEkCdz26T/2zAYmM2bMwIABA3wqI0eO1Ae4zNZXvtyvU34kX+ORggFJCxcu9OkZUxOvvvpqWP52/AFAp7gkt/mSpkyZgi5duqR6efrpp1MN6tIjJHWpnxyTlm4GeHHnBe7O8+UFLPumXwuDp2e3cuXKoP/H7sYKEB0d7ZN1gZaIypUrY+PGjWEZQD31V1rf7rRemy/5kdR9+gMSZksIF8lVbaW12p97c8qX5HYdNwKSL5a1UO3buXNnMGYsXGXs4xMwctYijJi9FHX7zA588AozAIQDklo16IWTtepiW927wfOlNowtjDHiG/fWbRKya3kj+l7dOsv7jm7YN2Tn8bsv09qLK7NezzvvvKMDACEgnOWuu+5KEy9sNwOBQJJ3SHdar82X/Ejq79AfkFCQtHrtOqx5YwPe3r4zRdn64UdpApz8ubdgrOOW+pBUGAWKlUaB4mXCWm4oXQWRDYdAu2tMuixd6ndLcrWG6h6+rdMgCRjKNk79vkoJScF/buY+5blC1a8BtatehlJ7H4BC2Uft2rXTLSUEgXCW4sWLCyRlENcwg7KdAov90a8/IKEgaegLbyN62XuoM+fVFKX7irRhDfT33pz6mMHd6v491akNSQSkrDGPILLB4PAWAlKTx9LMQKgAwOl5Bus3NwCwKrpl0t/vwLhOIe8nWod4f07XpvrIsCQFF5IIgYfrxOrXQDgMCGRCCd7+vDjT+jEbN/bE669HY9myaAweHI0hQ5LL0KHRsJZhw6JhLsOHR8NaRoyIRijL/fcXQoMGUbalfv0oqBIXFwVVYmOjwDJv3m3YtKkhNm6Mxvr1t+Ott27Bm29WxGuv3Yi1a0vhhReKYeXKQnjuufxYvDgvnnnmGsyfnwvz5uXCnDk58dRTOfHkkznwxBM5MHt2FGbNisLMmVGYMSMK06ZFYerUKEyZEoVJk6IwcWIUxo+PwuOPR2Hs2CiMGROF0aOjMHJkFIYPj8LQoVEYPDgKAwZEoV+/KPTpE4VevaLQvXsUunSJQseOUWjXLgqtW0ehefMoNGkShTp1cqJYsQJeYU0sSc4gz+n9nl7qXKbEn79bf0GCgNBvzWZUW7wNVWauTVFqzXkV7ZeuT/UycdVrXoHGDnS4DImnfnaTVFJBUoGiJZHz9gcRVfvhsJbsdboiosmotDsohXLAM7WtAMDTswzmdicQIRyMi33Io6a8XYe/AOMLJHm7BvPvtA65AR66FM3H+fvZzbkC2sefF2egx7zyygLMnRuP+fPjsWBBPJYti8eKFfFYuTIeq1fHY82aeLzwQjxefDEeL70Uj7Vr47FuXTxeeSUer74aj9deM77Pnh2PGTOSy8yZ8WAZO7YkRo3S0LevhhYtNLRsmVxatdKgyn33aVDl/vs1qNK6tQZzeeABDXalTRsNoSh25+rYMTuef746Xn65Fl56qTZeeqmOXl588XYcPtwKFy48iHPn7sXZsw1w+nRt/PtvNZw8WRF//lkWv/5aHIcOFcZ33+XDl19eg08+yYG9e7Nh166s+OijLPjww0hs3x6JDz6IwLZtGt57T8O772rYskXD5s0aNm3SsGGDhrfe0vDGGxpee03DK69oWLtWw4svalizRsPKlRqWL9ewdKmGRYs0LFigYe5cDU88oWHGDA1TpmgYP17D6NEahg7V0K+fhu7dNTz0kIZmzSJRooRAUqB/V05JJPmbP+2HApKs0JRa3/ssvjrJoR0UWbcxcaSnF7qbpJId+o5G7luaIlf1lohoNAJakzFS0kEfmF1DwXxmrer39KgnTzozb9chyY/+S4Kkeq096m9hPc8518zXYP6sQ5KX65kV82BA92w+XzCfhW1b3l6cvgT2zp//FBYsmIVnn52FxYtnYenSWXjuuVl4/vlZWLFiFlatmoXVq2fh8ceboEMHDQ8/rKFbNw1Dhmh47DEN48YZA+mkSRpGjDC2DxtmfCb0cJ8xY4z9+J3w06yZhnvuMcq992po3jy5EJA8QZKCI1X7AkhOYPTggxp8Leb2aHGZOrUIpk4tjmnTSmLatFKYNq005s+vhH//7QlgIIDBAIYCGILLl/vg0qUuJkhqmARJCQmEpDKJkFTIBEk5fYakjRuDD0k9emi6DgSSnC1E3v5G1e9Oi9pyqRK1ny+1QNLVIEVrkfklbf7sZrFbfWaXl0HE9mUtx3gczMPRX6GAJAISA5apIbqcyjaiS9I7NKvYJR7HNtwcY93HF0jyF8Ss5+T3gbEpF99m4Lbdfp62mcHN12M9tem43VuQsC+BvUWK5EapUhoqVdJQvbqGWrU0xMRoaNRIQ9OmBrAQRggR7dsbVgSCEq0KCoZoaSAIcZ/GjY3SpImGu+7ScPfdyYXtEZBUISgRkuxAyc6SpOBI1W4hyQw05s++glGnThHo3j0LunfPih49sqJ792zo0SM75swpgbNn78fFix1x5Uo8gN4A+gDoC2BAIiQNsUBSV1y40DbRkmRA0j//3AonSPr44+zYtSuLa0uSGZJefz04lqT4R3Khbbf8uLt1QZSqUhFFy1d2LFVvr42Nb7/t12DvCxik133Ng7X1s69JJFUfCCRdDUmBJpUUSPIOAY6DlguI8OV4699KML87WVX8BSQ1G4zXSTedL/dq3jc1IMl8z3S3KUB0AzsESLOLjjFc5vsJ2WdvQcK+BPZ6gqSGDa+GJLq86tbVEB2tITZWQ/36BkwRhAhABCMFSaytoMR9zKDk1prki6vN6vbyFYrattVgLmaQmjcvNz77rAi++qo0vv22Ig4cuBWHDtXG7783MkFS90RIetQESYN0C5JhSRqcaEkyIOn8+eY4e7YR/vuvDk6duhqSvv1WudtywjMkRdi624IJSQTi/v01tJrUHrcvXo/bFq5Htac34pb5ziVm4dt4e0famBmlICKt1MFOIqnuSyDpakii+81psdst8+c7xjoZkPSYEcTMQGYpqdoHwYQia1td6ne1vTdaUxQgGBakwbb7WbVhDu4eF9ve1THWNtT3vXWNxKi0zKht1lpZbbiv9Tdfv5sBSbVn3sZ+iG7Qx/Y87EfVX6wDvXefrt3N1Gu3+5gh6dZbky1JtCbRqlSnjgFF/E44uuMODXfeafxWu3by7/XqaWjQwIAmWqEULPkDSm5cbr5akcywY/1shiJ+njkzEitXZsOaNVF46aWcWLcuD1577Vp89FF+/PBDMfzyS1kcOXIT/vzzdiQkxOKff5p6gKR+iZYkutpoSWIZjCtXHsWlS11x8WJbEJLOnUuGpBMnKiW52378sRAUJH36aS4TJEVaYpJCC0l0mSpIajE1HtVX7HZd4tbsxuYPg+OaUhCQUWrmQLK+oNV35k7y9z4FkuwhiTmRVP9aa+ZSssYxmb+3GTnPdiDw6cUtYBX2PuRArZ51IM/KHI/jCyARDNT5gwEJ4YQkKwyVbZQMhebfrADE/d6IvifpvjkbjvsH0v8+H+sWgNzsZ4akm24yXG633aaBpVo1DQQnuuFq1NBQs6ax/fbbDVCywhJBSVmYzJDkBEpma5Jyu/kCSYQlFbDtixWJ8VWPP24EJ0+dqmHaNA3Tp0dgxowIvP56VuzYEYXdu3Nh375r8NlnefHVVzfgu+8K2UBSDP75526cOXM/LlzogCtXaEl6BAAtSf1N8UgEJaMQki5f7oaLF9vh/PkWJktSdRCS/vijDA4fLgYFSV99dS0MSIpKdLeFDpLmzdPw5JMExeTAbYGk0ECeU9A2s3CnBiTNfulNtF+2IcXMttQK0rY7ryjiiMQAACAASURBVL+B2wQeZtdWA5a19pZ5WyApfVrPggFJZtCx6iaY360goCxCwTyHt7aUFY2gY57qbwYkdZ0EH3OcFQGOVjNlPeK5+N3uWNVGyOp7770XwSq33VZBj0mqUMGIS6pcWUOVKhqqVtVw880abrnFHpYISrQqebIs0RWnLEuEJDtQMscmWeOTrKDk5HKzgySzm61dO2PW3IABGgYO1DBokIaRIzWsWxeBDRsisGlTBDZvjsCWLRF4991IbNtmQNKuXVZIKmiCpKo4doyWJAVJ91kgifFICpLoblOQNEi3JJkh6cyZxvj337r4++/qOH6ckFQ6EZIK6oHbhKTPPsuNjz+2QlJE4uy24FmSBJJCA0R2wOMUtE1XnN0xbrYFYkkiTEx6PuX0fztYSa1tgUCSU1JJb8HbmRWSqjXoh5gGfa4qneK6Ymxs+6vKE/UewNa6d9sWNUAviW7lt1VBtRGuWg3itIywhBKY1LlUnZqQxGsgBBF8nCCHv5mtRuq5EJQUcKn7CWvt5kXpdp9Bg+JRsqSGG2/UUK6cBsJSxYoGMClYooXJEyzR4qRAyWpZYvySiltSLjhzMLeKT1LWJAVKarabGZTcQBJhiXBEK1HHjho6dTJKz54ann/emP7OafAMYua0+Lfe8g5JH3+cB59+mmxJ+vFHutvK4MgRQtJtV0HS5cu0JKmgbUKSAiTWLANx5UpfXL4cj4sX2+uWJELSP//UxcmTNWwh6euvDUjat4/WLaYAUJak4EMSUwBw+v/kyYaljVak4cMNuOzTR8O9k8Xd5vZvy9t+Tpm2927dKpBkydVEMAsEkpyCt082aSLutkR34N46nhcEVoOgv/XHdRohb6Nh6Q6S1ADv1jIV7P3U+dNSzRgtApLZcmTWBbfzd+7nBFohuSdvL19ffickFS+u6aDEWW5lyhjAVL58Miwp6xJhidYlsxuOLjjlhrPCEuOZVKC3csXRDecWlBQkseZsNyso2cUlEZDmzNGwcKGGxYuNHEDMBcTcQMwR5BskMVjaDSTdhTNnDEtSMiSpeCQFRwYgXQ1JLXHmTBMbSCqKH380LEnJkJQjEZKseZLsLUnmPEluZ7fNnm0AJl2XhE72MWcTsv8Jr7EjBJJ8+fvytC8hyPxCMX8+GxfnNyDxfGJJso9JopXMKXj7tRUrPIKSbklqPBpaJiidYrt41KZZp75+/qtWXdAyldyHj0FrzJJ++rVLnCnGyeG6g72fL320sN79+vOju8yX47ztW7bhIIyLaY836l4NRrQ48bfo+o9gVXSLFG44pRO65ngsr4/9w329ndPv3+1evC++vxsPv3J16bj6PTTtORAPzFyqZ8sd/fKWFC/gV199Gf37d0WRIhqKFdNQooSmu99Kl9ZQtmxK65IVlmhdcopZYuC3Cu5WsMSYpbi45FlxamacOXeS2aLkBEoMwGbuJcYWTZiggbmaGFu0ZIlhOWKyxNWrNbzwgoaXXnIDSZEmdxun2ztBUpVES1I9/POPAUnnzz8EQtKVK7QkKVcbcySZy4AUlqRz51ri9GlCUjQSEmrgr78q4fff6W4zIOn77/Ph66+vw+ef58a+fYFDEvuJs9SYwuHRR43yyCMaevfWQItbfLwBRwRSghH7n3DEeDE+l5jhAkl2f3++bnOa2eZvpm11DQJJniHJKfM23XHmYG3z5zYj5oXuhe4w2Po9SATQZt6GQ0GgUYNbsGrCVzDvR8FAsK6P7XDwdrrGYMOP2/aSA7bvd7w+Xrval0ASyL20qt8jCYrMsUeqv7ltVr02HmGHEKSgyu541Y4R2N3D8Vqd7sP2tzEbdsNaerxmP+Oo2pIPUHbADFSe/hJuXrAZcU++hEfHTEgqg+ctw8NPLkGZ+9ropXiVoihaVNOtSwqY7KxLyhWn4passMSYJRXg7QmWVMySAiWr+80ukJuJLDm4c5AfPNjIDs04GmaLVtajZcuMTNKeIInZp5W7bf36CGzcqGKSFCRlwY4dTpBUGkeOEJJqIiHBgKTTp1uBkHTpUrwNJDFXkiqEJ7rbuuPixYdw7lwrHZJOnTIg6dgxA5J++UVB0g343/8ISXmwf38O7Nljl3E7Qrea0U3GMn26AYsMSKfbjIUASUAiBKl4LXOgu7IaKescrUfKcmeGJbEkBSdmyWlmm7+ZtgWSPMORAh6nzNtOM9wyEyRx0FkUfV9QIUmPQwoA3OwGQoGkqy1wBBMFHwNjOzqChydAM29XbbEmzBC8CD60KlmfidqXx1t/U9/5G8GK1ibCnGpT/R602pcp2NZ9q8xYiyKte+olX92mKNyqmw5RBCmWInfegSI334iSdWuiZK1bUKxktiR3nCfrEoO8ra4462w4uuLsYEklrlRuOCsocdDmMhgqxogB1xz8CQN0DdG15gmSVqywtyS5gaTt2w1I2rcvT4rZbYxJOny4NI4erZwESadO3QXPkKTgiDUBKSUknT3bCv/91wR//10PJ07UxLFjlXH0qDG77dChQnj//evwxhu58eqrObB2bXa88EIWrF4diVWrIrByZQRWrIjA8uUROjQyQN1crKkNrKkPCEtWUDLDkkraqaxKhKW4kWJJUjASSO00s40AFUjbYknyDEsEIfUyt9ZOy5NkNki6tX5fj/1k7Tdv3/U4pIZDPQ6c/g6MCpI42PrbhjpO3YPTAM99zQChjrWrg72fsg7xnu3Op7YRPtS9EGbUdrva6RoJLzwn21NuNLs2zNvUeb31ofmYkH22go+/34t3GIh80c2MUrcprqtRD9dVj0ax9v1QccJyVBj+FAqXK4hCRbOjcPHsKFYia5I7zpt1yRq3ZA3wtrrhVJ4lWpXMFiRajrjcCQOI6VabODF1IOnrr/PrKQBSQlINnDgRjVOnmuC//1rh3DmrJUkBkoKj/rh8uS/+/jsex48/hD//vA+//343fvstDr/8cicOHboFBw+Wx3fflcDXXxfG558XwNix2fVM58x27qmYwcj62Q0oWS1LZlBSMUnKqlR/lEBSIACjjg3VzDa2L5DkGZL8neGWmSCpVMNBWFf33qTBVg1+/tRXxyFdbf3wd6AUSErZl2boUc9qW527ba0+7HPz/v4+A/Nx6pwZCpKqLXoPtzyzRS9VZr0CWpYISXnvaIB8de5CvtqNkffWWsh7yx3IW+0O5KtUAYULa3r8kgr2drIuKVccgYm5llSAt0ofQMsSiznAm5BEl1CvXoZbjdP1QwdJGjy526yWpJSQVCrRkmSGpJY4d669xd2m4IhB3EYhII0YUQC9e+dC79450atXDvTqFYVevbKjV69s6NUrK3r2zJJYItGxY0QK65AdKFnByPzdCkn8bmdRsgMlwpIZmGhZEkgKjrstVDPbBJI8AxJdbgzOVi9za306NjbTxyT1je2EY7WiPfaRtc+8fQ92HJJ5UFaQ5O0afPnd2wBvBgtf2nWzr/nerJ+9WZIYP6RmmakAaXVOTzE/5nuxnk99V+dVbQWzZtvqPEGv/bUcOR1363MfotKkFaj4+DIUa9dPhyUCk7nkrXYnrq9cBfmqVEGhktfosKTilzgzTgGTmhmnAr1VziUFS8oVR0BiXJKyHtFawQGei6hyujkDjBl3ZIUkrk4fHHebb5D0/feFYFiSUkLS3383wR9/NMVTT5XGlClc4LY0pk0ro5fp08tAlRkzymDy5BLo0CFLiqVPFMiY4cbbZwVL3vbj76p9c+0vKAkkBQ5JoZzZltEhaejqDQFbyvyZ4WZYkkZBa5wxS7UGfbG3TqOgwREH0yVcpyuE/RUaSGJwuedn3CUuNDP/2F9O51WwYrjbUl4fr0kBEutW9bvrbY2LaZe0ne0zFsh8DvO9mLebP6vzBhOOVFsGJKW8F/O5A/rsBDvB+K3SlNUo/ciEpJK/wX0pYInglK9SRdxQrqReCpQrhiLFsuiz42hhIjBxZhxzL5mBScESZ8XRqsQZb0wyyRlUjI3hwN+5swFJnHGVWpD03ntZoCxJO3fmwYIFOTF3bi48/XQePPPMtVi0KC+WLMmPZcuKYPnyklix4kYsXnwjOnTIelX2b2WhYW0GEzOwmD+7gR5/9jGfQ302X4/5OvlZxSopa5KyKAkkBQ5JoZzZltEhaeRLm7Ft2zaPFh8VoO1U+zPDrc2IuSkGmIBe4A6DcLjbzdtwCGbVeyCocMRB0IhDGhLSPlOQFIzBVg3cBAenZ+AGLJyOt/7mtj0FK2ZIKttwoB4zpK7dDEjqPAQmWpLUPgy85nH83e25VVveanUOb33orZ2g/B4MEPKljdJ9JiUFexdu2Q15b4tLAU15q9VC/jIFUaBUPhQsnQ+FS12TNDtOWZdUokomqyQsEZIYhxQsSHr6aQ3PPmvkRlKz21Tg9po1KVMAmAO3ly6NwNNPR+CZZyLw7LMRWLQoAkuWROK557JixYrsWLo0Bx58MEIHOU/5muiGYuyOAgoFGKyt8GEGEwUr1tofCPJ2jPUc/G6+Fn42X6v5HvhZ3VuD0RKTRBAJpIRyZptAkrO7jfDkzwy3jAhJzeO640Ct5AFUDXKB1kYcUl9H2AjGQJgRIMltP5ghiZDDe1fWIz6vb+vUT5yKf7Vlhvur49W+hCd/IIltGTPc2l31fJVuzJDE/XltZrhze88B7ecL4AR731uefQcF72qLfHXv1uOWrr+zUQpgopXp+io3oWDR7HopUjw7ipfIoierJDDR0sSM3gqSOKvNH0sSp7mbZ7d5giSCEvMmEZyYdZvfV63SQHB68cUIPf5JJbc0z6xj8Lg5gFwBEmd4qSBmNftLTZsnSFjhwgpKVjCxgxdu8wY9vv7u6TzW6zGDktmipEBJICkwQCLEHOnfP+k/O/ViUXWgM9sEkrxDktMMtwPx8bZWKh2SGo2ClgFKqQYDgxaYrXRrrjvFdAlLPylIMp870M9dmMvJ4Rnzd3UOp/38/Y1AQbdY2QYDU1yHyoLOe+Y+6hoISrobzeGa1bUQbtRxq+q2gK/30ique4pzR8c9kuIaVdvmPjSf83DtWNAFqK4npHWwwcen9p7fBYJS5Wkv6jPg6JYzxy3pn2+tYwR7JwZ857+xWIqAbyskMVkhB2Ff3G1uIYn7qUSVPI+CHYIO4YYJElWeJrWfAiQzJBGO7ADJyYpkBSRChxVKPMGLrxDktL+nc3C79Xr43RMoEQIFkgKHpFDObBNI8g5J/sxwyyiQ1DemY1ADs9XAqOoldVuGZxBsNEq3TqjzBqs2D/B2g7ivYGHXhqdthA51HwNjOqboRzMkKVghMFlhylPbajshheDC777cizm+iWBmvT62p67d2oeEOLPVi/di3UddX9Bqn6BmhX2SyUDbuGnuen2l8EoTn0+RZ4m5lop3HJwCnPLeXFMP+L6hUgUULZH1KktSoJDEQG8CCQd4woI5rxIHfAaHN2xoZPmm5crTYrsq07eCJDNUeQIkMyTxGqzFChx2UOIJYpzAx81vnto1b+f1MEv50qWGxY1LubAsWmQk56QL85lnNNBSx9JtsbjbCCKBlFDObBNI8g5J/qzhlt4hqVr94Admq0FR1XocUoMhKQb3oA16NpYSZUnioBvoedQ9eBu8fQELX6+J4KGuw2qlMUOSr+162t/NvRDCttW5K+m6dLeexYKk2lfXbteHbMdsVeK+/O4r5Klzea0DBZxgHK8gyW418ApjF6F4pyFXl7a9UKxsHltIopXCaklSWbW5wCoL12VTAMQAb+ZQ6t7dgB6mEYiO1sDklGrpEy6uq7J6qwV2rYBE65G/FiQFSCoeyQpI/B4IJBFm3MAQ95k4MSvmz8+GefOyYu7cLHqZMycLnnoqEk8+GYknnojQy+zZEZg1S9PLzJnGLEGuZ/fOOxq2bNGwebOGt9/WsGmTho0bOfuPCwFrePNNY2HggS8JJAUCSDxWvUzs6kDbFkjyDkmMS7Lre7XNLujbgKSR0Bqlr5K3QWgCs1VfqVqPQ6r/aFj7Z2E9Iyu4AUmBPRd1H8YA79yW2rdsgwFBvV8FEbS6WHWWDEn3XfWbdV+331NC0tX3bLYe8Z7Z305tq35x6kP+Rreb2tdwFz7g2K7TOT3+FgzICbQNJ0iyAyduq/T4IhSvcL1XSGKeJA78BKKHHzZgqEsXDczazVgm83InCo4YBE5A4rpwLAQkq/XIDEiMP2Kh9chsQaL1yBcLki/xSAQmJ0vS6NH5MHNmEcycWQgzZxbEzJn5MXNmPsyYcT2mT78OU6deiylT8mDSpNyYODEnJkzIgccfz45x47Jh8+ac+OyznPrSJfv2ReHjj7Njz55siQviZsXOnVxqJRLbt0fg/fc1bNum4b33NGzdquHdd91BEpdyEUgKzIr0ucMAfbJ164AsVAqwMnIyyWDMbiMEnWzseaV7WpqsoJQeIal5XHzQArOXRrdCTP3eeMdkVVADHetOMZ2DP9B5AdJgQZIZFpwGeDUgK9eR4ba6Gi7Ufr7UA2M6JLmk7NpVkGTu82B+tl6recYjrUd08Vn3MX837++mD9Wz4z0EA3LN16J/DhRwgnH8zfM3osqsdbrLzRMUWbfrkFT+enCGG3Ml0fJDCw9jglTwNsGIFiWmCeBSJ8ytxH1VAso770xOQMnjCUfKcqTgSFmP6Frz1b3mKyCpWV/moO1OnbKhZ89c6Nkzt6nkQa9eqlxj+pw7MbFkLnz5ZRyABwC0AHA3gAa4ciUaFy7ciTNnauDUqZtx4kQl/PFHOfz2Wyn89FNRHDhQAN98kxdffnkNPvssVxIk7d1rQNKuXVzrzQpJyaAkkBQY9CgwcVuHevq/WJLcWZJ8TQOQniDJCMxODtL1dzCldYhwxPbUIFS6wYAkK4Bq14hDCg4sqPO4qdVA68sgqwBHXbu55m9urEPqvOZjg/WZ12AHJOGGJPY/YY33an0W7CNP98vrt+7v6Tvvk/cVHdfb9TGe2rpqezAgJ9A2bl3+EW5++u2AIYlgo3IpMUO3yszNBXMJR2o5E7XuG5czYX4lT3BktR5x5pp59prdDDZzgLYK7DYHaqtZbKo2W48UJJldbStW3IyEhA5ISOiMhIRuSEjogYSE3khIeBQJCQMSS18kJPRK/L0jEhLa4sKFdgDaAGgJoCmAhrh8WUFSdZw6dVMiJN2I334riZ9+KoIDB/KngKRPPskBWpLMkEQr0ocfGlakDz4gIBmF1iSBpPBCUqin/wskuYMkzmLz9KK3W+g2vUBS35gOOFarrsd783TP5u0Ha8dhbEw70FV31eDTaCQeq9c2qf2P6zT0uJ/dscHcpmDFF0jyBBuMu7GDE0/Xy3Ob3Ubm/vPnM+HC12vwdG1ut5staG6PUfvZ3Xu4r19di20dKOAE6/ibF2z2G5KqVDHyJdFSVKmS8ZnWIwVJCo5oObKu82YXd2SFI7NrzTx7zRx/pFxrynpkBiTOfuvXLzvefPMGbNhQGJs2FceWLaWxdWs5vP9+JezYcTM++qg6du++HR9/XBv79tXDvn31sX9/Qxw5QtDpBeDRxAVtBwMYBmAUgDEAHgMwEsCQxOVKuG9XAB0BPAigFYBmuHKlIS5erIfz5+/A6dO36pB0/HhF/PFHWfz6awn89FPhJEj66qtr8fnnufHppzmxb1927N2bDXv2ZMWuXVl0V5tAUnhhyJNl6afx45MGGOvLlL95Os6X7eJu8w5Knw8a5PE58Ddbd1vDkdDSaKkW92jAGbMJRw9z+r6Xe8xbf4juxtPjkOIe9bq/t/bk99TRVQpI8vLM090zChbkBNqOL5BUadQc3NjiXpQun1OPSeKSJSzKpabgyBxvZIYjFXOkXGsqKFvBkafAbGU5IhxxHbhJkyIweXIkpk7NgmnTsmDGjKyYOTMbZs/OjieeiMJTT0VhzpwcmDcvJ1566TocPFgMP/1EKKmIo0dvxrFjtyEhoTb++ScOZ840xoUL9+DSpftx5QqtQJ0SYacHgN4A+gIYmAhDIwCMTgQkwhK/E5K4vhv37ZZ4vAFJV66w3Ua4cCEGZ8/eif/+uxV//10Vx49XwO+/l8GvvxbHoUMGJH37bV58/fW1+OILZ0jasSMCvliSNmxIGbgtMUmBg9afPXp4HJy/WbRIIGnmWsd/vIIVk7RjyhSPz+Hnjh2vhqThc9MkDBBYZkUHljF7a527EUOXhw8DZfPYeCMOyYdjfGlf9k0dcMow/R4o3ATreDeQVGnoVFR6dAQqPtgaZcoYiSRpRaJrzepSU/FGyqXGmCNr3JEZjuhGY0A3Z7gxDUDPnsbCuL17a+CyJixcA+7RRzX07ath5coIvPtuJLjsyPvvZ8OOHdmxc2cO7NqVC3v35sb+/dfg008JG4SOG/DddwXxww/F8PPPZfDbbxXx++8346+/auLkyVr4999YnD2rIOk+XL5MSHo4EXZ6AuiTaCUaBGBoouWIkERAohVpeCIkDQDwCID4REhqC4Dt3YOLFxvj3LkYnDlzJ/79tzr+/rsKjh8vj99/L43DhwlJhXRL0rffXp8ISXl0S9L+/XS3GUHbhiUpUne3EZKMwG3lbotwdLcJJAUORVYLUKhzJPF8YknybknyNVdSmzQISQSVQDJm6/FG9Qf6BEcZZhAVuMvYzz1YkONXO0wmueg93LJwK6o+8ToqTVqZskxYhsqPL0KV8UYpH3uLHnNEqxHBiC41BUfmYGyz1YhgRHcZ3WQsVhcZ3WIsDPBm9uxXX9WglhrhVHVOWV+/PgIbNkRg06YIvP12BDZvjsCWLWZIypoISVHYtSunDkn79hEy6LYyIEktaPvLL6Vx5EgF/PHHTTh+vAb+/rsW/vuPFh5aeprh4sVWuHy5La5cISQRdmgZoquNAERrEYGIYMRCCxK/E5z4Gy1NBKruiZDVHleu3I+LF+/B+fONcfZsDP77rxb++ac6Tp6sgr/+UpBUTIekgwfzg5D0v/9dlyJ4W0HSRx/R3aYgSc1uS4YkNcPNmgKA/fnyy8ZyLi++qOGFFzSsXq2hz0pJAWAFH1++hzpHkkCSd0CiK+21FSs8WpJOx8baWJLmQGs4Ik2UUvUHYJ0pe7LVbev0nS6ysfXagm2klfuR60gbuspQz8EvuAlSUkkCUtF2/cA13Aq16IpCzTunKMXq1ELpKtejwq3Xo1KN61Hl5mw6HDH2yOxS43R+u3gjutUISMzls2CBkchw4UIjuSGXF2HSQy4x8txzxhIj69b5AkmRSZakbduy6ovYfvihAUl79uTGxx/nwSefEJIIHfmREpLK488/6e6iRYfur3o6JJ0/b0DSpUttcflyJ1y5Qtixc7UpQGJsEuGIhVYmghSBii66zrhypT0uXWqNCxfuxdmzTXD6dCz+/bcW/v67OhISqtpAUgF8910+PXj7q6+u0eOS9u8n9GVPnP7vHyQNGGAsv8IAdgIp47YY4B47QiDJFyiy7us0gFn39fe7WJLcgZLTs7gqJml42oCkvvX8C8w+WDsWD8d0Rt76gwWO0gjsZigoSWt9mhqQVHHC8yjRdRRKdB6Ggk0fQoEmbZNKwYb3oUS10ihdrSjKVb0mKRCbliMrHBGMunbVMHSokSByxAgNo0ZpGD1aw5gxGsaNY2JEI+szQYjrra1cmbzeGi0atGzQyrF2rQYmQnRvSVKQFIlt27Jg+/ZsICR99FEO7NmTKwmSvviCkFQABw4UxqFDxXD4cCkcPVoex45VRUICA6gZSB2Ns2cb4ty5prhwoRUuXmyLS5cUJNF9xlgjFbBN6xGLAiRupwWJgMT9CEl00XXB5csP4eLF1jh3rjnOnGmiu/VOnaqNkydr4Pjxqjh2rDyOHi2Fw4cZK1UYP/xQAN9/fwO++eZ6GMHbBL2c+PjjKMyalQUDB0ZgwACj9O8fASboZKH7kW5IFrok6Zqkm7JXL6MQjBjvxUIXJwtnItYaKJDkL7yEI0cSr00gyR0kHWvRwqM1acv8+SmsSW1SGZKqxfXxKzB7a527dDiSAVmsNZlKA+GApJvnb8KNQ55KKsygbQajwrVqo1jNqihxR1WUur0iKlTOmhSITdcZp8QzYzRdYsyU3amTBmbJJiCNH6/hySc1zJ2rYd48Y7kLWo24BAaXxFAL0gYGSdpV7rZ33lGQlEWHpA8+yIoPP8yOjz6Kwu7dBAsGPl+LL7+kZYaQVAQ//VQcv/5aGr//Xh5//VUFJ0/ein/+MSDpzJmGOHu2Kc6fJyQ9iIsXO+Hy5XhcuUJIMrva6F6zA6R+icHdhKReuHKlKy5degjnzz+As2eb47//muCdd6rg+eeLY/nyIli2rCCWLs2HxYvzYuHCa/Dss3mwYEFuzJ+fC/Pm5cCcOQw8ZwB6NsyalRWdO0foiTLprlRFJdGkG1OlR6DlTuWUYgA8C+GI+aZiW5VE7UHxeiEg3TZ9AXzRX9ya3dj8YfBje/wFldQ8Lhw5kgSS3AESLUW+5EpKLUii5WdWdGuPMOfJGrY0uiVi4nqJ1SitWTjkesKjSV8GKV/3rfrk66g8dQ1uHPxkCigiIBVs2BJF6tZD0eh6qHpHPj0DNjNe00VGKwMHVQ62zCr92GMaHn/cACJahqZMMdYI41IYs2cbkDRnTqghictrGDFJjEeyg6QdO7Jh504FSYxJug5ffXUDvv22IA4eJCSVwK+/lsEff5TH8eOVcfJkNfzzz+34779onDnTQIekc+da4sIFQlJHXLoUj8uXH8GVK4Qkxh0Nw8GDHbFv333Yt68V9u1riX37WmDfvubYt+9e7Nt3D/bta4Z9++7Gxx83wp49sdi1qw527rwDO3ZUx+DB14HpCFTeJlWruCzlClPpDNS6c6yZSVzBEWsnQLLCUcyDVRD9cDRqDe7pExRZ9SaQlAyI4ciRJJDkHpK+6dPHI3zsHjcu1S1JvgZmG8kfW0q8kYBIeEAkLfezdSAK9Putz+3UA7EZjE13WrLF6EEUbNASRZu0QLG7WqBUWUEv3QAAIABJREFUzJ1JrjRaiuiaoauG7htOrx8yxHCh0X3mDyQx9siNJemll9y422hJMkNSpFdIYuD2Z5/l1SHpu+8K4YcfiuLnn0vit98MSDpypCJ+/rkKDh+uhl9/vR1HjtTF0aP18fvvd+GPP5rjzz9b49ix9vjrr4dx/Hh3nDjxCE6c6I0JE0pBJaBUtUpMaa0JRNaiwEjV3gBJLbViBSQVCE8LEq1HyoKUZDlqnB1x9+RHbLP8uH3a3IDgSGlSICkZksKRI0kgyT0k+ZIrybAkDYfWMPSlVP3+PgVmM96Iwdh56w8Ky/WFow/kHKHXWYbuYzUABauuPP1lPRCbwdjmeCMCEtdai2mYEy1a58T9bbLrViIuHcLFZYMJSVxpPryQlBV0tzEuSVmSkiEpPwxI4vR/QlJZ3ZL0wgsF0a1btsSSHfHxUYklB+LjcyaWXIiPz62X7t3zgKVt26xBgyRfAElZjlgr95otHDUwrID1OtyBms+u10v157YLJO1OBpxguOkEkpxzIFmXMbL7Hqw8SXS3+QxJDYZDC3HpW+8h1xmzjWDsh0N+TaG+Z2k/9LrKdH0cLDi6cegcPRi7WPsBJutRW9zYsDZqNiiKOxsVQr2YLLrbhpYjLjrL+CLGFnERWm+QxCBsxh+5cbcFA5Jef10DEx4aKQDsLUlbt2bR8yRt2pQVo0dHYMiQCAwdGolhw7JgxIisGDkyG0aNyo7Ro6MwZkwOjB2bE+PG5cLjj+fGI49kvwp2lGXIl9pqPVLfrRYkq5tNAZJyralaudjM7jUrIFnhKMl61EBDnYFdccfkWbjtiWVBASOzPsWSlAxaTokkGa8UDBATS5J7S5IvCSV1S1IIAala7CPYW7uRR/efOfaIwdgxsT0FjkL4PDIdVGS0vjQPQr5+NgdkF3mgtw5Hheo3Q/HbqqJ0raooF10VNWIK6jFGHFjpsqGbJy1BkqfZbStWGFBGMJswwYCzSZM0TJ7MLNsRmDIlAlOnRmDatEhMnBipB5YrQPEFcgLZV53PrnaCJAVIrBUcsbYCkhWOVHC2OTCbQdlx95VEncFGQHbN+S8HHY6ULgWSkiEpHIkkBZLcQ5IvCSVDBUl54wa5DsxeWrclSsX1FzjyMqBHx/bE4doxeKNOM7SK7Rb2/lLnHljvobCfW+Au0SqnBiBfao8B2bHNUKR6Vdx4o7F+Ws2aGhiMzUDsUEEScyA98YQGc+C2kyWJcUozZmhg0DePZeA3j+cMObbBwplytFypuB1V24GHHaC4AR+1mC1rN/vb7WN3brXNeq3qHgIBJD5DApKyHMW2rYJ6naNRe0hgAdlutSeQJJBk5zbzd1sw3W2pDUnNY7p5zZidlPxR4Mg1cJiXaQk3JBGMlNVvXL22rq/ZH7jhvZ2sVUdfGLdLjLhdU/Sh2wGq+vO7cOtzH+pB2SkDsk05jm6piqJFNZQt6zskcRkQp8BtT+42BUmEHAU9CngIO/PnG2kBCE5MC0CrEF1JymrCWllTzADBzwosVG0FDwUk5toOZqzbzIDk9rO1DX43n9f62XqtvAfz/al7NveDcrEpC5IKzk4BR02yo/69+RF3b37cEaSAbLcaFEhKhiT18rSrg+VqE0uSe0sS45LsngW3WbNuB9OSRGvQujr3eDw3z6/ijfLGDQzpQJtiYPFioUkv+35bu77et7TohPuaab3i8yO8lI3rF9Lzq/sMx7nC3Y8Bn8/tAFVtyfv6dP6ibfqkCMhOnr3WFgVDAEkjRxqz27xBEpNHmmHGDA0ECgUj3B4MSDK3rz7bgYx1m7oOX2trO/yuzmutfQEk9oUqamq/giM1c81sPYrpmByQXSNIAdluNSiQJJDkr9XI7rhgWpKcIIkDHX9XxYCkYdAaBFa8BWYbyR9pFQjsPJn1eLra+OxYVtVtHvZ+JLDw3ISlUD4D3pu6z4H12ofsXLRQqfMEsw5l3+htux2gqi3ehsrTX0S5kU+j3PC5SaXsoFkoeE8nPR5JQRIXn61aVYMndxsBgckhzYHbtCQxU7M5BcCwYRrMkMTkkcybxGMZ+M3kkpwdx3batDFceipuRg30yipinsKuoMBsRVGWFbO1RUGXqs3wYQUTfrcDGfM2X8HIur+5LbeQpK5d3Ze6T9676gfVN+wr88w1whH3pzuy9cyuuGPKLNwegoBstxoUSPIOSWfj4oIWtC2WpGSwUYDjVDu9+M3HtRn+VEADkRGY3dDjgLO0bgvExPYI6BwhH3jSALjtreMuuN3pufry28LoVq6fybh6DyY9X8JaqJ6H+Ty+3Av3Zf/5cl2ZApLs/hurPO0FlHl0Ckr1Ho9isXG6u80MScyYbY1J8gRJTAVA2FEQRADq2DE5wzYHcyaZVEtcsGZ8jAokpluIxQxKCpJYKxhQcBBOSLICjz/f3UCSGeSsgERQIvTwvtnWlClZMWNGFkybxiB0I0nn5MlGkDrdkgxaHzspF4a92B6NV4cuIFsgKRl+3LjKwpVtWyDJN0hym3Vbh6T6w6D5WPLGDsSsuvYZs/Xkj3VboFQs3TKJliMf2/f1etL7/mGHpLqtUjxzX6HE1/29PZ9WMV2TQMzXtpMgyQeNmSHJ27V5+z2YbXk7l+Z2gKIlyQ6SzNtKt2qTApJq1NBASIqNTQ7cNls0OKATFmgdomWI1pi6dTVERxuZt2NiNLDweIIWC9f9IiiZYUmBkoIkb6CkIIm1AiVlYWGtrlFBhqrNAOLWkuQPDHk6xhskde4chYkTC2HChAJ4/PF8GDv2OowZkwePPZYTo0ZFYeTI7Bg+PBuGDs2KMWOyYseOHNi9m7mdIrFjRwS2b4/A++9HYNu2CGzdquGddzSsezs/YletD9mMNbf6435iSTJgSiAp8BxJfG8F293mGpKGPZVisPT6kq4/DM3rdbUNzNaTP0Y/CAKUm3ZkH3dwurBuqySA4IAcin7zB0x8OcbpmglIyp3HeCQ95skF8KjYJV4H23A6h/W3YIJNMNuyXudV390OUm4hqUgRDaVLG+42MyTR6kNXDsGEoHP77Zq+FAkXqWWpVcsAKs6GU6BkhiUrKClYUlalcICSr5DkCXZ83d6uXRZ07547RVFJJo06F7p1y4UnnyyJ06db4NSpRjhxoi7+/LM6jh6tiMOHS+LQocI4cCA/vv3WWLz2s8/yYN8+gSQ3lpu0ts83ixYlvcCtL03mTwrm9Qa6wO3kFetQdfarXv/BMv+zFa7Pg9a8jfXvbE2KFTK7xPz57BaSHn5sHvLcPcrVAEPLkF1gth6MXS80g/dVg4SLwTOjHcNAbf5t6S6lEN2/+tslkAWr/8xw56lNfwFJBZLzusdFP+jzNQcTbILZlqd+StoeCkgqVSolJNGaVL26EaN0221GzXglfjbDkhmUFCwpYOKabmZQMluVzKBkhSW63qzxScr1pixK/liTrJYkq5WH332FIU/7cymShIQeOHGCy5N0w4kTXXHiRBecONEZJ048jBMnOuGvv9rixIn7BJKCnNk6mMARrLbClW2b1xsoJE158S3cumx7mgSlGk+sQ8eFrwQNktxm3V6x5kU8OukZr4NM3+irM2bryR9jeiQeO9RrG0kv+hAN9BmxfQKAAhgOxp7u0Q2QeDqW29U5wglJDMz2x4K0qk5ycLc/gMT7NYONuvdg1E59HJTfQgVJFSsaoHTLLRqqVdNw000a1OdbbzWgiZYmb7BESDKDknK/KWCyWpTMcUrK/WYGJQKTilNijJKvoKSsScGApEGDsmPTpgLYsqUwtm4thW3bKuCDD27Cjh01sXNnHezaVR979tyFAwfaAhgEgAvd9gfQF8CjAPoA6A2gFy5d6orz59sKJAkkpSlL0tQX1+PW5TvTJCTRYtXqad/ijpwsTG4hiW2MmLkYWn1CztWlWkxv7K2dMjCbwdilYvva7m/Xhmy7ul/d9klKK5LndlJCkuf9PJ1XAYIBSb4fb9eu0zXNik6OZzNcbO70ZIZGA5D8u9YuMZ2SwFDdezBq1Q+8J15f2Th396WO81qHCpKYULJ8eQ0VKmj6QraVKxvQRFi6+WYDmHyFJbrfnFxw5lglO4uSgiUzJClQUtYk1io+ScUmsfYWl2S1JDH4fMKECEyfHoEZMyIxa1YWPPFENsyZE4V583JiwYLcePXVfPjll5I4cqQs/vzzJhw/fjtOnozFqVNNcfp0a5w71xEXL/bElSv9vELS5ctXQ9KxY97dbXv2ZMNHH0lMUrCsPOFoJz1ZkgSSjCnkBCgzYNlBUt7YAZhV9/6kgURP/hj9oMCRDUh6Hdj8PMYMGRzUnc5j3tdpP0+/KUAIBySZQUedNxS1p3vldjMkOe3n5jdrW+Yg9Gjd0uofyNmeO5iQdGO3AShRvRxKlDDikjjLjYkly5VLCUtVqhjApGCJlia649xalsygpCxLZvebCupWoMTZb56Cuc0z3nwBJa4317evkbKAaQv699cwYICGgQONMnJkBNavj8TWrZF4//0s+PDD7NizJxf2778WX36ZD99+WxA//FDUBElV8ddftyMhQUHS/X5AUrtES1JjPSbJCkkHD6qYpOugYpIEknybWRYOCPJ2jiP9+ycNpNYXXTDXbeN1BOpuy0yQ5LR+2zd9+jhCkhGYbcTBGPFGnUBosn1p+wkA0pbzwEkLhHJFbavdxGvfpydI4rN/o05TvYQSmJw0ZgUbp319/U3dk570M9h/H64hacn7usmcQZgsnPpfccJyVJr4PKrMeDkpMLP8o2NQ9MbrUKxYpA5LJUsawKRgidYluuIqVTJAifmU/IElBUqMVbKCktkFR1CygyWr281qUaLliOkIOPNO5WZSqQmYn4nZvNeu1fDqqxq4GO6bb3Ix3Ahs2BCBt9+OwObNkXjnHXtI+uKLfPjmm5SQ9McfZki6G6dPE5I64OLFHj5YkghJLXHqFCEpGseO1UgRuC2QlP6AyA6YwrVum0CSb644X5YmsVqSOkV3hJ78sZ6z9cLXwUP2dwYjc/8QIvhPB0HJjTUivUGSule3sBLs/din6p86N/2rrtdNrZ4dazf7+7SPW0jSlyVZvlOPL2CMQZm+U5Gvzl3I3+A+A5RmGtNyK09bgwpDZ6BI2etQuLAGznYrVkzTgYkB3bQuKVccYYnFzrKkXHF2MUsMBGdhcLcvsGTOp+TN9cbElWpZE/NacEuXanjuOQ0vvBA4JB08mGxJCh0kVcLhw6X02W0CSQJJdtDltE0sSe5BKRBISvHSjnM/sKc4Ltj/QWei9sxA4Nb9JZBk6NTcd970qCCJMBOM2CG2YY61okXJ2zX4/LtrSFqxO0WunJvmvIWKjy9D+dHPosh93VHo3k5JpXDLLrixx1CU6z0C5XuPQJlWrZNgqXhxDVbrEuOWCEuMWyIwqbgluuGcYMk8G47B3bQq2VmWnNxvnTppGDpUw4gRGkaNMpZAGTtWw7RpGhYu1LBkiQFFzz+vYdUqDatXa3jxRQ0vveQZkjZtcmdJIiT9/HNJ/PZbWQQbkhISlCXJHpI+/zwP9u/PAbrbnn8+Ur93ZjdnYV8MH26UQUOzo9WAO1B73rIUz99f3QRynORJMiAvnJakDz/8MCCXW2Zyt/kMSXFDoElJ9T4oG/soVLA2B/Eu9Tq6uqaFdVsmWUb8eY4KGNiOP8fbHePmmnh/6tx2bahtwd6P7a6qc2/SudU1BKtm4La69qDWgQxaPLbakg9QdsAMlH5kgl6KteuHvHc0QLH2/VC80xC9FL23PfKXL6mXko0aoeQdVRytS3TFWa1LCpZU3JJd6gDzLDgFSypWibPR6CZjBu/OnTXQUsS4IgISs03PnKlBLYzLRXGV9cgMSStX2kPSa6+ldLeZIenddyOxbVvKmCTlbjt4sEgQIOkRfXabEbid7G4jJO3aVRHLl+fHsmV5sWRJHixenAsLF+bEM89E4emns2P+/KyYOzcLhg6N0PuG/cPCxJ7W0mxwEzQaE6+XBuP7o+ay98IOTQJJ4YckWpm2bduWIp7GHIDs7bNAkhG4zRxK5r4aMXNRaF7oAl0+96ty1ajB2gxJalsgtZ5ryea5BNKmm2M9gUKw4cdte+p6CHJmKHVzL077sC3CF2FXnSOodaCQZD2+yoy1KNK6p17y1W2K66pHpyjFOw5G8buao2DpfChUOi+KFIvUgclqXVKxS+ZZcSqFgArytsuzpPIrEY7oUuNMNk7zJxAxsJpQRGsJF8TlshuTJqU2JJXAb7+VwR9/VMFff92GhIQYnDrFmKT7PMYkHTnSEfv334P9+5th//6m2L//buzb1wh798Zg16478eGHt2L79iqYPTv/VbCj1rxTQGRXWwHJ+v2BjtcidspYRM+ahTufCd9yJQJJBiT928xYHdzuxeHkOvP3N4Ekdy6311as8Phf8p/Nmwsk2YBCUAczP9ofF93mqmcmkGRYON3Cj9v9UvtZ+31+K+QE83vxDgORL7qZUQhMNeqlAKa81e5EgeJ5UKhodhQunh1FS2SF2R2nYpdUGgHlilOwROuS2bLEzN2MVaJFiYHYXPiW68Fx8dxHH3WGpBkzjIVc58zREB5LUgEYlqRkSPr11+o4dOhO/PJLHH77rSl+//1+HDvWAcePd9OTSSYkdEdCQjxWrKhuG1TOwHJVrGDj6bsVkjztZ96uzsG6ycj2uH3R+qRSY/n2kFmYBJIMSLKDI7XNXxByOk4gyR0k0VKknoNdLZaktOVebFWvS9JsNvM6bmZIchpY3bi2nI5XGslM7jan/nD7Wyj6zfHcwYQia1vVFr2HW57Zopcqs17B1ZaluiAo5b3lDuStdgfyVaqQFOxNWGIqAXOwt4IlZV3irDgVt0T3GxNMcqo/8xw98IABSXSrpQVI2rEjOQWA4W67GpLWrCmKrl2zo1u3KHTrlgPx8TnRvXsu9OiRO6n07JkbDz+c3SskEWDMYBPMz2ZIatMhF1o/nB/3J5a6T8wVSApxQkv1krCrnWDH398EkgSSHAcRPyw4qd0eXTNquj/dNfyu/p4yEySpew5WHY7nqq41mHDpeN1WsAnV91uf+xCVJq3Qg70Z8F269/gUViW65QhM11eugnxVquCGKlVQsGyBpIBvqztOARMDvhnoTSsSXWyc2q+m79OS5C8kLViQHLi9bJkGBm77G5O0YEEkBgyIxKBBWTBkSFYMG5YNI0Zkx6hROfTFZ8eOzYVx465B795R+iK/1iVNCHyqMC2BKio9gTlFgRlgQgVK1nOo77yOFj2r4J5+0Wg4pmfQYUksSWJJCva6bsHMuC2WpLRlKXIa+AZGt9OhiKBEixL3VYOvQJIRR6f6w5fa2udma5sv7QSyr6cYMOu1uf4eKijy1i5nx6lgb6YRsMYu8fv1VW7GDeWMgO8CFUqiSMmcV7njmH+JuZa8QVKfPu7dbfPmabBC0vLlyZDE6f9qdhsBSs2KY5wTZ8Y9/niEnm174sQITJoUgV69NNhl8ibMWZc5UZm7zeu4KUBirQDJnMNJwZKCFXMdTAuSasvcvvmzug7WrbqWRMPH4pNKnScXBAxNAkkCSWkNklatWoXevXujS5cuenF6ubcZ9iRUqdtjKrS4wVJSsQ8YsG0AkfEc1LMzb3N6RmYAcNrP02/qfIZFJDhacHNNvD91bk/X5st2p/bM16POGeragKTg9KfeD95gJhy/l+4zCYVbdk1KIcB0AtfXbnIVON1QrhQKMOC7TD4UKZsXxUtEonTpZEiiu82TJUlB0pAhxhT3xx4jzCQHbptjkqyQNH26hokTNUyebAR5Mz0A958922hLJatUWb1VokprgkrzcifWZU7UWnBWSDIDkj+QRIhRcBOs2gxG5s9mSFKfFdTdPbAJomfOQt3Zc+Fv3JJA0m58smFD0gvO+rI52bp1UNdtU+45cbd5drctXvocSlePRd4ba+hlf807PD6f0jF9BIpSEYq8Dfzq70kgKYiAEYLnrZ5TMOHSURvhgCA357h5weakrN38b7HI/T30ZJVMWGkuTC+gXHMM+i5ZKlJPF3DHHUZMkq+QRPhhCgCC0JQpRn4kBUBPPWUklOSAz5QC5kV11UK6CpDsklNyVp11qRO1DpyyILH2B5DsLEm8TjO0qM/BgiPVjmqXqRQYGM9CtyZLly5XF+6nSoce+VB/6QrErFqPmJXrUWflFtcWptjVu7H2g93YscuwqKhBPDPVXHZEvSSsNfMnhaIvBJI8Q9Ki5atx/T0jk+BnS+0mHp9PbL34pP0cX8ohGFjkfN4HfvX3JJDkva+c9PRt7Th9DcKysZ7/KeBv3I9uT6e27H5TzynTQ1KlySv1ZU+49Im5MP+S4Zozgr5LVMibApIIKwQRQoQ5JsmTJUlB0oQJRtA345qYfJLwoyxDXOZE5VuyJqZU+1itR/4CkjkeycmK5AskKahRkONPrdow14sXR2DjRmMplvXruVZdBN56y8gZ9cYbxnItzCHFpVteeUXDunUaXl4biTWv58Oq1/Nj5Wv5Mf7lZq4hqeaK3SAoPfeeQJJ6UZhrgSQj678vLrlAY5J0SGo2ElrsYL14haTE/dT+Uhv9lhb6Qf0tdYnumPQ8na7L7Epy2s/Tb+p8+mAfJF24uSbenzq3p2vzd3t0dHxS2wPrtvPYj3trN0raj+vklaWV1WUfqGsPZr85ntuNlScc+1gtSZ5edBXGLtKTVzKBJUuZ2pV9gqTu3ZMBiDmUaOkhVNEVxtQB5qVO1Jpw1rXg1IK53gBJuddYO1mQaEmyutkYk+QPJHmyJpnhxvx56dJ82Ly5EDZtugHr11+HN97Ig9dfz4XXXsuJV17JgXXrovDyy9nx4ovZ8MILWbFmTRasWhWJlSuZVTwCH3wQgfffj8C2bRF47z0NW7dqePddDe+8o2HLFg2bN2t4+20NGzdq2LBBw/r1KSFq+tpo15CkdLh4q0CSelGYa4EkgSTHl73LQSiztqH+lgSS/AdXgpHqRwKTJy3xNzMoMYDeCarM7aj2BZIS14LzBEtqe7n6NW0hiYBB8KBbjNYlWnYYB8TPzK/ENeFU1m4ub2IHR8p6xDaUe41gpOBIudgYe6Tij5QFyRsgmd1sgULS3LkVsXbtnVi79nasW1cT69ZVx7p1t2Ddupuwbl0VrFtXCWvXlsdLL5XFCy+UwurVxbFyZRGsWFEQn39eGocPl8GhQ8Vw8GABfPvt9fj662vx5ZfX4PPPc+PTT3Ppy5d8/HGUvoTJrl1ZsXNnFuzYEYnt2/2DJFqblKVJIMk34BN3m+8gpN4VdrVYkvwfEM0DV0b4rAbfcEOSOm+wa6dnos7liwXHqT312xu1kxcJVtuc6ll170+CKn1hYQewUu2oa+exaltIa/XfeWrXbi1J1hcdIYl5kxiTxLghLnhLlxgBhpDDJU44+40JKJmpW8ERZ8MpOFLrvinLkYIjO9eaAiSze00Bkoo/sgMk80w2T4DUr19uTJtWENOmFca0aUUwbVoxTJtWAtOmlcS0aaUxfXoZTJ9+I6ZPL6+XGTPKY8aMcjh4sD2A/gD6AOgJoBuATgC4/QEALXH5cjOcP98Ip0/H4J9/aiEhoQb++usm/P57Bfz6a2n89BMhqaAJkvIEFZI2bUq2JCmX3OuvaxBIEkiy/k2H83twIGlE0sta3G3pF7rU4EtIMls51PZAa6vlI9D2vB3vBA4qRxShxmk/X36jJcifdlvV66z3N2un8xHozGu/uYVZpzZd/ZbacKTO7zckxRmQxCVKCD0qSzfBickm1ZpvVjhSmbkJVW7giNClihmQaDlS1iNCkgIkQlH79hHo0CECnTpF4uGHWbKgc+cs6NIlq166ds2Gbt2yIT4+O7p3z4633qoIoBmAVolw8xCALgB6AHgUwAAAwwCMBjAWwBgAIwEMTfyN+/QCEA+gMwAe3yYJki5caIgzZ+rh339r4eRJA5L++KOCvizKzz8Xww8/FMR33+VLtCQRknLh009zYt++HPj4YybDzAZakj76iGvRRWLHDveWJIEk32DIUwC2WJLSoiWJkDRIL86Q1C1pP7W/1Ea/pYV+UNDRJboD9tZumGThUNsDrQ1ISr5f1Z51eyB9wbZUu07tmPdT+werJigZwJN8r07XYvfbrLr3Jd2H3XXxHGVjHgnP35OClNSu/YWkG+NqgrmSmFzSvCguM3HTckR4opVJLVmi1nbzBEcqaNsad6Rca4xjcuNeIyC99VZOfPBBHuzcmRd79uTHJ58UwRdflMT//lcWBw5UxKFDVfHLL9Vw9Oht+PPPWjh9ur4Jkgg3HSyQNNAESQQkMyTxt74eIenKlaa4eLEhzp5VkFQdx4/fhGRIKo4ffiiUApI++0xBUpQLSNIcY5IEkgSSwmkhcnuu4FmSBJLsBrv0tE0NxoSkcFy3Ol9qQBLvj+cN5kKzBJdttRsHDEi8Nj4D1T/WOljncP2MUxuO1Pl9gaSKQ6aibGxNVGxYExWrXZfCpabWc1NwROsSrUYKjuiSs7Mc2bnWzJaj/v01PP00k0xG4NlnI7BwYQQWLYrEkiWRWLo0C557LiuWL8+G55/PhpUrGegchV27cuOTT66BsQxJIRw8WBw//VQGv/5aXl/Q9sSJavjnn9tx5kxtXLgQi8uXGwO4J9GSZIYkutBoJSII0WpE6xEBaRyAUYngNAhAPwCPAOhusiQZ7jagKS5daohz5+rhv//uxKlT1XHixE3488+KOHKkDH7+OSUkffFFHhCSPvmEliSBJE+WnXBvF0uSWJJcv9wTrVuyvzuLhhqMwwVJ8lzcPZdU7ycFKaldV5q8GqV6j0eZR6eg8rQXUuRMqjx5BW5s9zDKt2mDim3boFLTuihfXtNjkbgkiTneSMGRshwx3sgp5ohpAoYN0zB8uJEYktmzWUaP1sAM2izjxmlYtMiYobVpUwTefjsCW7ZE4t13I/Hee1mwbVtWfPBBduzYEYX6u8ldAAAgAElEQVSdOwlHObBnT058/LGCpOvxv/8VxIEDxXDoUOkUkHTq1G04fbo2zp+3QtKDJkuSgiS624YAGAHgsURIouttOIDBprgkuufoblMxSS1ASLp8uSHOn6+H06fvxD//VEdCwk04doyQVBa//FICP/5YGN9/f4Pubvvii9yJkJTDAknZPLjbxJIUDmBygqQj/ftLniSXEz6UpSkolqSmI6DFDNKLo7stulvSfmp/qY1+k36QfkizGkgtOLpl0XuoPHVNUinVcxwKNGmLgvd0QtlBs1Bu+FyUHzgZFfuMQKXuj6J0xTx6vBHXamMgtoo3qlEjORibbjVlOWLcEKe6MycQV7onDHXsqKFTJw0PP2wkN2TiQ2bR5hIjL79s5PFhPh/m9WFQMWdgvfmmpuf+4dR1TmP3B5I+/5yQVAAHDhTFoUOl8Ouv5fDHH5Vx/Hg1/P33bfjvvzo4dy4Oly4pS9J9ABQkdU0MxmZQNoOzCUOEInNcEqGJ8ESI4n52kHQ3Ll9ugAsXonHmTEpIOnpUQVIRfP99fvzvf9fBsCTlxCef2EFS1sSYpMjEFAAatm0zIGn1amPNu2ef1fDMM0bhEi+0wjGT+dy5GubM0cBEnU8+qWHQfEkB4Atc/TBjhkcz9E/jxwskpTIkja7zgMfn06lOB4GkRJhMswOiXJ9o1KqBcENStSXv45aFW/WFbglFKUrjB1CwQQu9FGrYAsVrVEyKN2IgNq1GjDViEDatQyquyDwbTWXApnuM1p/FizUsXaqBa6xx/bUVK5LXYFuzRoNah81XSNq8ORLvvGO2JGXDjh3ZEy1JObFnTy7s25dHd7d9/nleHZK+/96ApMOHy+H33yvjr79uwcmTt+Hff+vg7Nk4XLzYBFeu0N2mIKkjAEISoYduNLrT6FZj8DbdbCp4m59V8LYdJDUHcDeuXGmAixejcfbsnfj33+o4efJmHDtWCUeP3ojDh0vixx8JSQWwb9912LkzN7Zvz4EPPojCtm3Z8d572fHuu9nwzjtZsXlzFrz9dhZs3BiJDRuYRNIASQIl16lTbkqVLoHxXXwuKpUCXZtxd1+L2Gb5Uae7+2SSSquZOU8SQUi5Bay1QJLvrrjgWJKGQ4sZqBcnSOJvaj+pjf6SfpB+SPMaUANPuOpSvSegcMtuKHRv55SA1KQtCtWNRfEyOVG6fE6Uq5wTlapktbUaMXCaLrDx469eU23mTA2zZhlWi4ULQwlJEVdB0vbtTpCUH4SkH38sicOHbzRB0u0WSLoXwP2JliRPkKTikuhyIyiZIUnFJD2c6G5rDcAOkmokQlJlHD1aDocPl8KPPxbVIWnChCh9Vt5DD0WAhUHoLO3asRgWOuvabMxLxQSYfDZOcKSyl985dixqPrseNRa7X5ZEaVQgyX6VboEkgaQ0P+AkwqRcp8BRutGAGnhCWVd98nWU6DpKL4VbdL0KjorWvAklby6Ksjfl02ep0WrE6fR0i9ElFh+voWdPDb17a+DyIlykluutcY01QhEXmqX7hm6c+fMN1w5dPcGHpIgkdxuzTdOStHWriklSlqQc2LXrakvS118TkookQdLRo5Vx7Fg1JCTcjlOn6uD06TicP98Ely8rSGoLgJDEFAAMxO5tSgNgF5ekLEkGJK1dWx1TphTDlClFMGVKIUyZUhCTJ+fH5Mn5MHHi9Rg//jo8/vi1GDcuD8aMyY3HHsuJUaNyYOTI7HjooUg9lYHK+6TSHLBWM/s4y4+Fbk07yxGtR2bLEeGoXpsquGPyLL3UWLjR50zbSqMCSQJJKqYo0FosSTJYp5vBWgAzdSyx/2/vvOOsqM7/P0tTbBSBpbP0vgssW1l2EaQISy9LW6ogiDQbWECUJmJDjIoiTYgUewOk2EHBmGiMJib+vjEmL0s0Jq+UVxKNz+/1meG5e3aYmTtz79x75959/nheZ+6UM2fOPHPO+z7nOc/hjicWacdbd1Dba+4h9jfiobX0PpdQ015dqVVeV8od2ZVKBl0YioyNThixhjBsc+21Fc7UK1ZodMstGmGNtdWrKxalTSwkpdHRo9XOOG5XQNLJk7XpnXfOPzPcdhFhuO3DDy+m3/ymMX36aQv67LO29Mc/dqYvv8yib77Job/+tQ/94x+X0L//PYh++EGFpCn04YeDae/eXrR3b2/auzeH9u7No717C2jv3j60d29f2ru35ExaeOYYzulFCxbUCS2cqy6mi23EcFIFS6aogvr3AkhsOUKqDq1hWA1w1Gf2ICpYOptyb7k1YjBS9VMgKXkg6aF9T9EVjx2knncdqDQZI1q48et6gSSBJIEk0QFHHVA7Hz+2VYfsZpMWh6xG6YPGUdvBJdRhSF/qXNhSn5GGGWhwqsbq8VhTjS1F8CdaurQyJGGWmQpJa9dqdPvtibYkMSRVp1dfVSHpPB2S3n33QnrvPQOS3n67Hj3zTD16/vkG9OKLTejQoRZ05EhrOnasPb36amd6443udOJET3rnnRw6fbqATp8uotOnS+juuzNC67rx+m5WKZY2sZJYAJLZegQwMsNRv6H1qWhaERWVF1Hvux71BY5YPwWSkgeS9u/fT48+vp/y7vI+FOYXCDnlI5AkHaRjBynWm8RYb4JU79zxRJtaOWSnXzqaGl86gpoMHEEtBw2iAUPO1S0U6LjhwwL/Fsw4w5BaskHSs8+m0dNPp9Gzz1aj55+vQS++WJMOHqxFhw+fQ0eO1KZjx86jV16B8/OF9OabF9GuXee7gh0AEHx7rEDIbp8VHGGfH4CkDq8BjhiQ2HrEcMSO2dE4ZLvVQYEkgSQn8PFyTCBJIEkgSXTAUQfcdkzhzrNyyO6Qn0G98mpTft/aVNz/XBo8OC1lIAlxlTisAEBv6tQ0XcrLsQxJGk2bZsj06Wk0fXo13RHaDnIARVZid755vxtIUofXsK0Or2Gbh9js/I/MgGSGI33GWj+NonHIDqdjfFwgSSDJCwg5nesPJF1HWvFiXW4sHGs7+xDH+DxJjfqSepB6CLwOcMcTSWrnkN3o0tGU0SuDuvY4l3JyKi86C1+XSC1JmNHGPkl+D7c99phGS5YYjuELFmgEueoqQxYu1AiCYcDFiw3BMCGeww5QzCBj9dsKjMz7rK4z77Mrg2pJUiFJBSReaw7vhQGJrUdIVeds9jliQIJjNuCoeII/DtludVAgSSDJCXy8HIsWkvY8vpduvuthajfuJtL6LqawkNR3sX4ezhWROhAdSAIdcNsxqefZOWTrwSD7DaWmPTpSu4419ICPfkMSpv3DcdsOkhCwEIELeXYbAhkuW2b4N6mRtZcv1wjC0bVhGQJ8qAChggVvq+BhB0lmiLH6bYYhp99W16v7wkESlx2p+nxmC5IZjqwACcNqPLRWdMYhO2+VPw7Zqo45bQskCSR5ASGnc6OFJPhcQbKn3SqQJOAn4JuKOuDUGZ11bMcJgu9R60W3U+NRs0NO2TxrDWl6QV9q0UKjdu2MqNgMSZjlBEuEkyUJM9owxZ8dtzHVH/ACkOHlQcyQdNNNFTPgsJQIfmMmHMdRwm/AAQMAW0t49hanbFFByiChwgVvh4MkFV6stp1gyOmYVV68zwqSuJxcbqT8XJyqQ2xcP2brEab3swUJcNS/tD71nV6kO2X77ZB9lr7tPGnp8C2QJJDkBD5ejgkkJcE/+Th1vO8UDCDIxsJRYWGHA7nO6DM57LlO1qKHCkfow7O4r9N5fAz3NZ+L39jP5/iV4tn8ek6/ypSQfNx2TDivx/Y3qeudT+pTebHGWvrw6WdJ4+IB1Ly5f5CEMAAMS7D88JpqPNMNS49g+IcdiTlmD1L40XA8HxUCrEBJhSQnUGL44FQFFIYWu9QJgtweM+et3l/dRvkiBSTkw+XB/fB70IiL6JLhDahojvcI2V50zM25AkkCSV5AyOlcgSSBJO54GQgEkgydSAQkMfDFAvr4PXtO3XRKfI4KSViEttPqXWdJu8uXngVJWEIkUksSrEsqADH4MPSwlSMSUGIrEqcqKLG1RQUNbDMccaqCiRlg1N8MHdGmap4MMGoZsM1lU8vOz4M0nAXpvvsway+NnnkmjZ56SiOsZ1e2LfII2aw/fqUCSQJJTuDj5ZhAkkASOk0VCEb1KQ9rlWGgioUlSS0L3yeaFNYqz2BgqpNon9Pt/VMKkuwaovbzl4UgCWut9e5trLPGkAQrDjpxcwgA/GYAwjkAF3TmsASVlBiirtEGh2GO6IxhIECSFSjxrCy2KCFlwOL7OEESoEKFDQYQTlVAMQMM/44WjNTrOU9O1fuHA6TNm8+jp5++kJ544nzat682Pf74ObR7d03aubM6bd+eRo8+mkZbt6bp67EdO5ZGR44gqrhGhw5pNHnvRsuhL7/Ax0s+AkkCSXbtj9f9/kHSKtL6LnLhuL1IPw/nigSnDh4qHK4PLX2XX+jqvTC0zOgzydX5du+a72sMoRn1gTw5fz9S3MPu/k771XJE+5xO91GPVYakgOiHl85JtSTZNUbhIImjMANsMCQGaAGsYH9BgUaFhRWL12IB2759NSouNgSwZAYlhiUVlBiWeMjNDEoMSUjtQEm1vEQDSSrg+LHNcMQpwOjuu9vR44/3op/+NIt27+5Cu3Z1oB07WtO2bc1p69Z02rKlPj300EV08iSifl9Mv/pVXfrgg4vovffOo1OnzqETJ2rQG29Uo9dfT6NXX02jV15JI4Gkk3TyZPAk2Ra4DXowyfEPPUUHDx6kAwcO6A7Y7IjtNc2eJpCkdnZB31YBwA2ImEGDr4kWHqwgyanucF8VqHAug4XTdZEcU+so2ud0e39+Fjyn22tifl6sIalXL41ycw3wAeTAkRv7srMNKxN+4ziib+fnG2KGJStQMsMSrEp+gFK4ITe2IHGqWnIYXNQ0EjCaOLEarVzZkNasaUpr17agdeta0fr1bXRZt641VUgGrV2bQZ98MoZ+/HEOff/9NPr3v8fTP/4xjP761/70zTf59OWXmfSnP7Wnzz5rRp9+2kiHpI8+EkgKIgC5KdPvNmyw/ZcZxAVugw5Jk7Y+T2+++SY9+eSTvkDSHQUjbd9PeWF0VoeYdwZVyLqlAgADj1PqFyS5va/duxZISoB1KZaQ1LWrRhhyQ9q9u6YvRZKZqVGPHhr17OkNlgBKDEvm4TcM5UVjUYI1iS1K4SDJ7JcUCSQh8OSMGdV0mTmzOs2aVZ1mz65Bs2fXpNmza9HSpRfRH/84iP71r/H0n/9Mpx9+wKK1S4loCREtJqKFRHTVmQVvcWyeDkk//HA2JH31lRUk1atkSTp5UixJbgAlCOf8ctcu2074T4sWxcT6dfz48agAIsjLkvgGSeWrSCtaRIfzB9q+n5LCGfo5OE8kOHWwpHBC6J216TPX1bthoNItLB7ep1tIcnsel8MuNZfvoQJjWNHufD/265YuD3WifguVLEkR5qHm58t2rCCpbVuNOnTQqGNHjTp10qhLFwOWAE0ApqwsQ8LBkpVVSYUltiipoMRWJbYswbk73NCbF1BiKxJSJ0iysyJhiZITJ+rTqVMN6ec/b0K//GUz+vjj1vTJJ13o00+z6bPPiuhvfxsWV0h680374bbDh8UnKQiAhDI4QdK35eUCSXd4WyNOICk4sOJLhxZBx/pYwVAdkj7O72cLSJFAi5vnYSgwg0Uk97MCHIEkH/Tbb0jqcMZxu1UrjVq31giwhJhJACbAUufOBjCpsBTOsgRQigSWAElmUFJhiZ252UdJBSV2HLfyTVIhSQUlDLMhZMGDD6bRli1p9PDDafTII3CIrkbbt1enXbtq0p4959Ibb1xEH3xwMX38cTr97nfN6LPPWulDYrD6YIjsu+/609//7gRJi3y3JAkkBc//yArMBJK8QZCd7yTvF0jyoROJAEzcAES8zgEcATAAS7gnw4YKGJFAi5vy873sIMm8H+eb9+E39qv3433qM+C4aklSz7faVp/ZnI/V+XxPc/mszrXbx3mYn8fu/Ljs9wJJ+btO0NK9L1P/zU/psZK4oVHTTjfcS22Gl1Lz1rX1WW4tW2qUkaFRmzYGLLVvb1iXzLCEYThYl6wsS/BXYp8lJ1iCVYktS+rwmwpKbFViWFJnu7Ejt3nojUEJa7VxhG4Et+QAl4jZhCCXt92m0SOPaPTii2l08GAaHT5cjV5+uRodPVqNXnkFQ1rn0Ntvn08/+1kd+uCD+vTxx43od79rSp991tIESZcokDSNfvhh3pmhNh5us4Ok6Wd8kkpDPklffZV1xiepOX36afoZn6Szh9sEkgSSrKAM+2S4zYiq7eTMna0Pty0MM9w2nbSihSIBqoOiwhkmKFp41m+rd8ZwY8BDxTtVwcLqOnXfksLxoXsZYGGdD98rktRcvsqQVHE/tVy8rT6LOR8+R00ZcMzPop4TbpvziORZw+Ud8XEvkFS0+yTdc/gkDd92mLptep4QK6nN4g0h6bBiiw5PnW/bRq36l1DLPtnUomtTHZYQhVu1LgGWVOsS+y+xzxJbl+wcvK1gCbPgrGbA8fCbGiYAkGQHShMmaDRrliGXX67RnDkazZ1rABLWeNuzR6PHH9do3z6NDhzQ6MknNXr6aY2efVaj5583IOmll6wgqRa9/fZ59LOfwZIESGoYBpLG0X/+4xWSJtA//gFIGkDffltABiR1oM8+MyDpk08upo8+MkNSTbKDpIMHNdq+XaPR2yUEgB1ExHO/WJKCakm6RYcfZ58kgaSIO6oYgdXKwjE6qOhT/8/cgztoJzCwO0cFi3DPysN8yAtwYPhDGeCi5sP3iiQ1P4NAkjMYWr4zL5BkPrfT6p1Uv2hoSFpMv5Y63rq9kmSMmUhN2tajZm3rULPm1SytS+y7BOsSwxL7LQGWnGbDAZYQrNJNuAAVlmBRgsUIjtocC4mHzq6+umL9ty1bNNq6VaNt2zTauVMjb5CEOEMVlqTXX69JJ0/WpnffvZDef78effSRe0j68UdYkdxYksJBUgMdkt5//0J6883a9Mor59DRozV0qxesX4C7F15Io+efT6PnnkujvXs1mjlTo5J1Kyjn4eep99bDCY+XVJXjJAkkCSRZNuQxgohUv9fx/Et1SELKz8owYgYMPo7U7hwVbtTzrbb/UFAcygeQhjwBbTiX8zFbZXCOeR9bX9R78D7zMyQTJKnPk9BtM/h4+d1j2xuU+cDhkGTMW0X1CwdXkhZTl1CnlVuo47UbqEmbOtS4sUZNmmjUrJmmr/Fmti6ZHb1VWOKhOASoNIcOQHwlSDhYUkEJ68RhbTes83brrRqtWaPR+vUa3XVX7CDpxInadPr0hfSLX9SjX/3KDEnd6Ztv8ui773i4rcKSZEASz3BzGm5zB0lvv30hLVlSjebMSSNYy1hmz9aIBdY0ANKkSRqNL7+Ixk1vQJddI8uSxNNyZL6XQJJAUkI7jBSDMTOcoG7tAEitdz4Hw3XqfoYbHFf3m7dH9Zmq34dBCalaFs7HDEQCSRFYgqLVWS9QFO7cbvc+Rx1veZTaLdtM9QoGUZ2eRXRx8XBKLy2n9CETqX73LKrXuQvV79KFGrRvocNS06aaa+uS2W/JDpZUyxJ8lDB8NnWqRtOnGwDAC+liLTgVjjZuRGBGjTZtihaSNN0ic/iwakmqTrAkAZJOnbqAfvGLujok/fa3qk+SCklD6V//MiDp++8xxR9WJGdI+uST4XT77U1p3bp0WreuAa1dW4/WrLmIVq8+n2699VxateocuuWWWrRyZU264YYaVF5uABAgSJWJEzWyk3HT61PpoiIqXVhEBZseTYhVSSxJ1hG3nWa37dq1i0ZMmEhTH3uZpj1x0pNM2f8mjd99PGIZvfMoZd71hK0fo+rTGO9t/xy3ZbjNDAJB/636BKmwwwBktsKoz8PnqPuwzXATDpKeKRisQxKngCGAkwpKfI9oUvMziCUpAsgKBz6RHM965FXdTylj/q0EaTZxoQ5MgCaWut2z6eJ2LXVp2KElpWfU0a1LWBwXzt48M071XeIwAmxdYssS+y1xUEqAEYbT4IiNuEawiACMrrpKo6VLNbruOsO/aMUKw+GaLUh+Q9KhQ5Uh6bXXatJbb52rQ9LPf14BSb//PTtuMyT1o7//HZA0lv7973L6wx8m0L59+brs359P+/fn0f79ubR/f84Z6U3792fTpk1tCQv+stiBjt1+BiW74+p+3GPo0kF06c2zdem/ahFlP3osLtCUzJCEoIVLrl9ONz15nG5+4aRneeR++zhJv5lYbpvfrIefpPazl1OPh4/H5R2p7YabSP3xhiO+n6+Q1MeF43afhaSJBKIOVGAIByLv5A8IlXlGYcWyIeZ36XSMz21TOJe+yysk5Mll4PyXFIynZ/IHk5pPuLI5HUc+fF+kfD9co+632lbLYM7H6nw8A/LlZ7E6J9w+zsNN+cLl5dtxtTGL1XaXDfupydi5IWnQf3QIlhia6nfqSA1b1aeGGfUpvXV9atayZqXhOIQRUGfGqQEq2W8JkAQfJThkI34ROnJYSzB8xJC0ZEkiIKm6PrvNgKRz6NSp84kh6aOPmtChQ43o0KGmdORIKzp+vAO9+mp3ev313vTWW4V08uQltGdPD32tO6xvBxk/vkJgJWNhOFJTFWzcbAOU3Jyn3gPb46ZeRCVrV1DRHRsp74F9Me2I/YAkLEWx+YEHacvB1wn5xUuue3AXtR46kbIefDmiOhq6+YXQcIC5cXy/dGxEecbqu+d8gwxJwx58hn7y9CFatXoNrVy5MiQrbllFy9f/hJZteNCVtBtzo97p/Cavws/E/H7qFs4L2zH51rALiIWtaxUYzO/K/Fvt+FV4ML8vp2N87soCw1kcKZdBzR/ncT7m/ZxHuJRhwww3fD88X7g8uAw415yP1bV8z0jLjDw5DzflsypDTPZxQxbPFDPidIfvPpdRnV59zwImgFOD1o0ovVktatK8lg5MLVumVQolwDPjYF1CzCVYlQBImPoPC5IXSFq92vBFitaS9MwzGj33HGa3GcNtFZak6nTkSA168cWadOhQLTp27Dx6/XVjLbVXXmlAkyZV0y1e7DiOsvPSJhyQkgGJUwYlBiSkZnDh326gx+s5nLeaclkGLp9EOVueD0mv7a/52nljhuWhN6KT2+9/kJr3KqCs+w/6WrZ4fEfmBlz9HY/7e71HkCEJFqVOt2yl9A6Z1LBZRkgubtmRquVfTlqfqzyJ+i7M217zkvO91b1f9cXvbUbhRMt3j/18jvmeTsf43D/k99UtSW0K5yiQ1N/yXnyNX6kKSfwMfqfv5Ef+LLiWy+PXM0edj9cGz4/zMRwHh+8uG5+g+gAlZRiOt+tm5VPdzFyqm5VL9br3oPSmNXUfJgzHmZ29EaQS/kp2kKQOt1lZkqwgafNmjR54QCPz7LZdu+xDAFSGJI0qfJKq07Zt1WncuDQaPz6NJkxIo7KyaoQ12iDm2XUMSQxISBmOOPUCSQAZrxAU7nwVjtRtgNK4yefRmGkNdBld3oD63LnJVxBBKIp+e6KTPttfNwBpx1u+ls2P7yNcHtyIWKXhrk3E8aBDUofbHqNa/RZQtbzZFaID0gLPHZfVO+F9UTfWHoFN7hcZZPH7soMktgRZwUA4SOJrMaSG98PQEi4vLpOX1Kr8fD8v+Xg91+pZ3OqiQNLOk5U6JMyOQxgBOHtDMDuOIalS2qOQ6nXppjt8N2zdsJLDN+IvIaq3n5B0770aqZCEAJEcAiAcJN1xhzFTDLGVMMQ3b14aXXkl1mpLoyFDNFKjfHPQSl4PDnDEAkuSHSQxICFl6w2nKrCYt8OBj9vj5nzV31wONR0xpwsNvaqIBtw8t9L7T0SHnQr3dGq0gvh8wYek3VRjwNWegciq4Xd6N1bny77IQCaW9cbv0AoycF8GDSsYcAtJRQXTEw5J4epQfRa7ulDzYMCxqhf1PKdtzgPvwOm8uB4LUqPa9a6nqHn5NZWk8ahZlcCpXpfuIYfvBu1bUuMWtXUnbzhzw5KENdww3IahK3TU8EnyaklyC0kIFYBlSK6/XqNlywxncNxPjfbNEb7tAAlxmtRhNrYiqZDE1iOkKiDxtgokKrBYbbsFIafzrPLlfWpZeBuzCNet02jVppZ09f7ZuizdN5tG7/mJQJPpj4Ob75EbcavUzfXxPkcgyZiNGNeGXaxOEXey/F3B2gNBxw0w4vfHsZXUfXxMBQvet7FgpJ7PqMIpeh74zcfcAJdX6ODyW4EN3w/ncBnsUvVZrPIyX8eA47W8aj6ch5vyqdfFdDveDabT/bIePn7WNGGEE9BDCCCMgCKNLptMdXuXUKOM+q4hacECjdwMt1lBEkIDIFwAhubWrjV8mABfWGzXHOWbl0FBhG81qjcvgcIWJA5kydYjTp38kRiM1JRhBCnDilPqBEB2x5YsSaMbb6xGN9yQRsuXG7JsWZoOhwBEgCIEMwchgEcWBOB86SXDV+uFFwy/LUQnX3NgEJXt2Uhjdm+inJ3++i056VmyH/v9pZeFxu25QeS075ajgQPPqgJJdQuvsH0v0XQcMe0AqjBMAVrQ+QMcHsu/TIchzDrjb0lNVSCCTxGOYejM/G5UsOBjDCZ6wEpTffMxK/3gvKyOcd5WKZfbDdhYXc/7+P7IL9q8OM9wqUBSmH/NVpDEU3XNaafbdhBmyaW3begZktB5w7qBtdew5hrAB5YODJUBhu68U6MNG4z0nnuMuEkItoj14xCwEnGYAEdYBoXXi1OtR4AjtiDx8JobQGI4Uq1IZn8kFY6wrQJSOEiaPbsmzZtX64xgG1KDrrgCUp3mzoUgwKQhl1+OQJOGHDhQg95+GxHDEeupBr35ZnV6441q9NprafTqq2n0yisaHT+u0bFjGh05YsjLL2t06JBGWNpEhSQs3QIHd/hwPfWURjueaEDFu54PXOceVJh6a2y5ZUOOxmz2ul2Bq8fkgKSlpPWBD1LkUtvmBiwAACAASURBVFJo/16wXEk0ecu1kb8Xq7p7qKDU9htiyIAVaUnBODIsQMb9iwqmha5T9/M9VLDgfdzx4568j1MuhwFClZ9RzYvL5CU1wKZynnxfN6l6/2jzcnM/nMN1hed0e03MzwtSR+AFkrps2EcApRb5PUKQlJ9/9nAbgkjycBtbksJBEoCIQQgQBAACEPE+bDMgYXiPo3izBUkFJAz9sbAFqbTUWA4Fvkhm65EZkFRIMgOSFSQ5gdLx413o66/z6auvetGXX3ajP/2pE332WTv69NPW9MknLehXv2pKH3zQiN57rz6dOlWHTpw4n15//Vx69dVadOIE1p0TSArC9yKQ5G/U7Q637aYa/ZeSVrggKikpCANJUeYfbfnk+or3O6NgIsEihE4ZoLKyYDSNKpiiv38GEZxjrjOGGlxrPobfuIav5+Pc8euQZNIBzk+HJNMxNS/O00tqVX4uk5tUvX+0ebm5H87husJzur0m5ucFodHnMniCpDuMhhKL6GZkGGEAGJJgtWGfJDeQhCE4DIsBYjDTDOCDZU9gOYKfk3m5Ewyv4Rw76xH7H6lwxICEITYWhiQ7C5IKSKo/0r33dqR33x1B7747kt59dxS9++7oMzLmTDqcTp8eQqdPD6DTp0vo1KlCOnUqh775poT++19IPv3nPz3pn//sTn/7Wyf65pt29OWXGfT5583p//6vMf32t1jfrS598MEF9N57WEalFp06JZDEeproVCBJICnmHYOpw65K92MQsQIDHmrD8JxVnahgwcc/zi/RwQlWKd7HqRtIsgIovt4qdSq/1fl2+9RnsaoLu+ui2S+Q5ONwGw+/eYUkBJaEJQcQBfCA7w6gBQEpEbk7HBzBsqRaj3hoja1HbgEJMHbFFefQtm3ptH17U9qxowXt3NmaHnusHe3e3ZH27OlKjz+eSXv39qR9+xBRGxG2IXn04Ydjzyx2i2VKriaia4joWiK6Tk9//HER/e9/V9D//jeD/ve/yfTDD2Pp++9L6fvvB1pAUmcXkIQAmJFB0uHDMtzmN1QJJAkkRdMRybUVFiWrurCDDDhc8zEMu1ldq4IFH+drrEBDIKnyuxBISiAkwSEZQ1Gw7iAQJYJQYkacGY5gjbKyHDEc2VmPYImaNg1T/jWaP18jLJ6L4T0shbJwYZouixal0eLFaQQn6GXLatG2bQ3p668z6ZtvetNf/tKH/vpXLGw7hP75z5H073+Pp//+dyr98MNs+vHHeUS0gIiuIqKFRIQFbnktt0ghqRf985+Z9Le/daZvv21PX37Z2sGS5AaS0ix9kgBJ8EsSn6TK4S+iAacDMxaFGmtugDkVnyTvAOXXcNuI/Mm27+WO/BGWnSp3pJJW7iwTWR/8LalQAyhip249xpGNpU2FpDaFl1sOv6nP5gaSuDxeU7X86j3dbqvPEmleah5eyx/p+ZGW1bZeomms/b42kuG2FoXZenBJRN0G4ABmMNwG65A65IYlSzp21AjLmWRl2cOR6nfEs9ZgHWI/InPgRx4qw9DYT35iOCRjBteLL6bRwYNpdOhQNTp8uBodOVKNjh6tTseOVafjx2vQL3/ZgL78sgN99RXWa/Mfkn780WxJGk7ffz/ojCWpgP7zn7Mh6Y9/bEG//30Tfbjt44/V4TaBJL91PZr8Ni9cZdsZ41g0ecfi2qRw3PbBJ+nG/NG27wXHbBthmw5Xzk8MOHHnzJ0tYIeHzABKdlYkvC/VsZvzQWoHVgJJ1ot1q3XndZvfm2/fTywaxUjz9BOS4E+Etd4ATwg0CQEcYfkSq2E1wFFRkeGQzXDEfke33KLRww9rtHWrRo8+qtH27Rrt2KHRzp0aIbjk7t1GFG7M1MKsLbeQ9MUXAkkyu827hUkgybu1iIfnrVJE3DYct68krTByCQ9JkecdTbnkWm/1zp3yjIIyXR9GFUwOWZE2FsAi6JwfnMDZ6oS8MITUpnC25XWVIalyvrg/Xx/unupxc/nVY162+f7Ij+vCy/Upc26kQOPndW2vvZdazLyBWky/nppNXhKStlffdVbcJHMjp1qS4E/EliLAEZYrwZAaAMkOjrCg6403GuEAVqzQCECEsAC33WaEBlizxgAkgNBPf6rR449rtG+fRvv3a3TggEZPPmlMY8d0dsT+USHppZdgTbK2JH3wQQOqgKRs+stfCm2G22ZFNNxmWJJmKj5JXixJDenjj+spjtv2lqTXX+cQABXDbUePVoQAsBtuQ/gF+Idh5mH5vAaU+4iEAHD7TQkkxQKSllh2Yl4aeoGkyp28l7oL0rlWkAFQMpy1U+MZ3dS3QNKZd+22Yfb7vO6bX6K219yjS5Nx86jhoLKzpGnZVdRq3qpK0v6Gn1QCJ0BSy5YGEAGGMKTG/kawDsExe/JkjTDLDT5DM2YYHTOm+WPpEIARhskefNBYp40tRliGBBYj1VoUP0gaofgk2UHSYiKycty+juC47Q8kXUg//zlmt1lD0pYt1WjdujQ9uCZgEvGmIABMBN4EbEJWrjTqGXV9002GYHgSlrqSkS0p//pF1GvrscANE/mt837lB78jbsjN6aFJcwJXj8EfboMlKXpIOpx/qe17QXgANx2TnFN1IETedZK8a78abrf5dL37aeq8bg+1vfrus6DICpTM+5pPu5baX72BOl65jDpftYxa57TTrUcAIgyTwbGaI13DSsTBIjlKNgJGIlgkgkYisvZ99wUNkgbTP/9phqQrLBy3AUlw3jY7boeDpH703/8aPkn/+lcm/eIXrenYsab08svpdPBgQ3rhhfr07LN16KmnLqD9+2vT3r3n0J49NWn37hr02GM1aNeu6rRzZ3Xavr2aHmgSjvAcMBO+W3Bgh2C2HwTvAoIYUognhfcDOCoe34WKphVR/tWynpvbb4fPc4IkzHzj84KSCiTlk0BSknSIYYbSBGyq4HuMR0PaY9ublPnQUV1aTL8uIjgCLDUZPJqaDxlBrYrz9BlqPLQGZ+qFCzVautRYEgPLZGAIDZYLt5D0wAPxtiRdbDHc1o/+/nfvkPT3vy+gb7+dR99+O/+MXE7ffFNO33xTRn/+82j6859L6euvB9LXX5fQV18V0JdfZtMXX3SnP/2pM9188wWEeE0Q1CMLx3JCCqd1CGI9sXAMKDMgMRwxIFWCo0trUcmwBlQytAHlrN8UuM48Ht+CH/cQSIrBcNslS0gruDIqOZznYEnKL48q72jLJtdH926l/qpw/fnRaIfLo/Pt+6jxyFm6YM01s3XI7e+iERk0clxtGldWi2AlwhAahs+uuCIVIWkc/fe/U+iHHzDc5mxJuu++LnT55RfQ7Nks59Ps2ZDzaNas2rrMnHkuzZx5Ds2cWUuXGTNqEmTcuLSwgMRghFSFI1iOzNYjthwhVS1HsB4VTc6l7Aef16XnNlmrLdx343TcPMzGv78tviRw8JkUliQfIInfgVUqnWwV7mSjhG/RnQTrjlNDHO0xdshuNmlxRGDUdkABZfdvSvmDmlLR0KZUOvpcPdbRlCkaTZ9uOP7OnWvEJEpOS1J7+uqrbvTNN4bj9uHDnei22xrS6tXptGZNE1q7thmtXduC1q1rRevWZZyR1rRuHUsbWreuDc2adR5xKAJe5kRNEQrBLFbWI1iRzBYkBiSGIx5eUwGJrUcMSLAe8bAa4KhgyUzKXbORet/1aOA68Gh1PFHXW3XEvC9RZbK9744TlPXIK9T1nmcq+ROaJ2Ek6rc+u02HpPmkFUQuXP9WaTT5yrWRvxOpO6m7qHXAtmELE/jR7jo3DtlOlqNGl46llgU9qG1RV+rZt5Ee9wg+LhjuQcePgJBeIAmz1eBIHM4nye/htmeeSaPbb0+j1avTaM0aODen6U7OcHRev74abdp0Hm3dejFt29YoFHH7hhvqhGCHocdrqsIRb9sBUrghNgYktiCZh9bY94h9jtShNThkFyydrUv2ffsEjiL8nuy+s78U97N1Era7JtH7u216vkpC0p/zCqOCr6gb+SjAT+4tkFHldcCvhjNah2yAU6P+I6lJXh516FJLn7KPddMQHNIMSZithplqmD5utiRh8VrVJ8lvSEIoADh8w/H7nnuM7U2bDAfwzZs1uv9+wxH8nnvSdKBji40ZVPAbEOMVgpzOZyhSU/N9uTzRAhL7HDEg8dBa8QRxyPbrm3LKJ9mWJsGzpDIkleRPtYVW+CpV+Y5GQE10IFl1wKkhDnfML4dstiylF/Sl5s2NafxYLoQjaLuFJCxUGykkIQwAww6DDsICPPSQ4dD9yCNGMEmchzXf1GEpbLPDM6cqjGDbDCt+Q5IKRrxtvqdaJi6nOsSmOmhbDa/hPZitRzocDaxF/cQhO67WMoEk/5y3/RhuE0gSi4uAcIrqQDgQcjrul0O2G0jCkA86fwy32VmSnCAJcXzWr9fIKgQAoAhWIcRUYsCAxQaxfCCAIlXMgOQGkqxACffie5gtRLxfTc3nqL+53GqqQpIfgGRnPeo7RRyynb6TWBxDPCQr3xfsC+L6baiDVLYkjcifZPs+tuQPFStCsloRpNyiu5E04NE6ZDMUmVMrSxJiH6FzjhaSEDwSi9xiVhwgC35NmB1XXm4M3WEb1hM4JLPvDVK2qKj+OWxxMcOSap1RoYS3VWjhbRXGVCCy21bBSN1W4QjbnD+nKINavnAWJDy71cw11e+oUByy42o9Ur/VZIu6HXxIWkxa/ryI5ca8UbaQhGPR5C3XRv5epO6k7qLWAbXhDbu94wRlPvgytbt+UygKdss5N1Ojy6ZENHvNDEmNCvpSs2aVh9u8QNKiRQb8AIAAP5gBxxG2ATYYGkInzwJ/GgAYDyMh5VlbkYCSCiEMRmrKwKKmABo7ILLar4KRuu0ESVwGtXwMeKgXBkAGQhWQUD9sQUK99RvdkgqvPuOQvVkcssN+Mz47bPP9BJL8G27rsuZx6jj6TuowbINrufiS5ZXARyBJOuOoO+MoIF3uHUP940bXTWoV76TT2t1nrbnG66+ll07zBE+N8g1I6tBBI/ZJMkPS+PHGkBsAAkNvHC8JjtwAIz2ac7ERfRtO3xDsw5R0SDSgxDCBlK1JSBk4zMNuDCecqnDE235AkhmQ8Jvz53sjZUji8qqAhHoFZCKUwlVXabRggRFaYf58jebN02jYrC5UPL2ICq6RCNluvpVYn3PTDZtsLRc75i5LmIXL6bmDOtyWuW4/XTZrPw2f5l56jd5M6QNuDsn9ReNt38eC4pmh89Rr/Ng+p8+iSrAmnWUMO0uBGHoof1hIz6uMrjk1auZjVpDkFNsEC9amD59eSRoNsQ8mCUhq2lTTo2mrkAQLBqwb6ORhPUHnDqduzH6DFBZqhGVJioo06tvXkOIzoATIYlBiWAIoqbDEFiXVqmRnUWJQsoMkFZRUQME2g4uaeoUkwKFqQcK2GZI4/7Ky6jR9ek2aNq0GlZdX12Xq1Go0ZUo1mjy5Gk2alEYTJ6ZRWVkaLVuWRm+8kUavvWYsWHv8eBodPZpGR45ohEVqJ+/dGMiO16yjVeV3skXdxntJJUgyA9XPLrGHpOXj7vQEYOa8nX63GHQrnVu0OKECUEvLny+w5gGiivKm0jv5/WlU/qSkqjeBpDBDA14hCVamTqt3VZJmExfaWpesIAkA1KuXRr17a5Sbq1FeniG87RaWzKBktir5CUpssUHqFpQAO1bDa1b73EAS7vvAA03pd7/rQb/+dUf68MNW9P776fTeexfTqVP16OTJi+iNN86nV189l44dq0XHjlW3haSXXxZIChp8ld25P/SPzuzA/X7p2EACbSpD0sfFw23fx6IJm2MGSUOm7KGBkx9LqBSXPUrJZtGakT/B9n2Zvye/fuOebH35OL9Ev/93eYWWoBRN+QBffB9zimNun8cqH4EknyHJysrU4eYtuk8T/JpUwcK1KiTxumywKGVmapSVZQzB9exZAU05ORXgFCksmS1KDEvspxTOoqQOvfEwViTWJLeQhPPuuacDnT5dSqdPD6PTp4fS6dOX0enTQ+jUqYH09tv96K23Cuj117Pp449z6M9/zqEvvuhGn3/ehn7/e0BTQ/r1ry+mDz+sS7/4xQX0s5/VpnfeqUUnTtRwhqR9YkkKGig5NXZBK2uqW5Kc3oWTJSgVjg0r30v54x6i3LEPeJYeozZRzT4LbTt1cyfv1+9oIMTpXTsdUyFpSf4YAiDx+SvzKzv3R1M+K7jhehNIimA41ktj6tWSZAVJdvva3/ATajl6MrVooVG7dobzdqdOGnXpohGAqVu3yrAE6xJbmNzCEg/BmX2VePiNgckMSuzQbXbmdhp682JNwnAZ4Gf58vNp+/bGtGNHS9q1qw1NmHA+4dnMMmNGM9q4MY82bsyljRtzaOPG3rRxYzbdcUcv2rAhk9av70xr17aj1atb0a23NqNbbmlEK1bUo5tvvpBuvPF8Wr68Nl1//bl07bW16Oqra9KSJdVp0aJqZ/kjXXmlRvBJgvS/VyDJy7cSj3Odom733XI0cNakVLUkzZ74SKiz406P0+8KimNmRUoFwIIV7Nwi+FVdEWh5J/+S0Dv2q6yj8ieaQGlkqA5m5FcM37q9H1t5UFa313g9j+8B/fZ6bdKe76UxjyUkAZ46zF9GLVtq1Lq1Rm3aGLDUoYNGgKXOnQ1gAix17362ZSk7u/KQnNmyxP5KACWGJZyjAgiG8HgYD8N6OK7mw/5PGAJkPyj4QrE/FO7B92HfKKR8T07hJ2UWgNt119WlAwfa0JNPdqann+5BAwfWofR0zVYQePPSS9P02Xnw28IQIvLBfVAmlBfPB+sb6g11ifp1ytPuWOdlAklevpV4nJtsASVTFZLgc8RQZE7hq5QKMBOrZ6jKkARoUEEJQ3AMEgJJAYJmL415rCGp/YKbqVm7OtSseTXdotSqlQFMbdtq1L59hXWJgYktTAxNGJLj4TiGJoYghh+GHkAOQMwOCvzcD5gB+OE5YCXDswBYIB07GhBogGAademSRl27Vqfu3WtRZua5lJVVm7KyzqPMTEht6t79HOratQZ16VKNcnPTaNu2GrRnTxpt325EBsfSKHfeqRGCZ950k0ZLlxpLtyBQJixkqLPGjb0/t0DSycBZZpwCSi6+ZUvgypuqkHTXyJW2kPTagKkCSQ6zBqs6JAGKivKm0PG8AdQmf4YlJJnBW/3NUIWUrTx+WpJUC5p633DbfpZBfcaEbAcJkjqv30Mdr91ATdrU0TtyzHQDYMD6AWAC1GC7SZPKgvPCCeIvmSUSWIgEnmA1wvT6FSs02rDBWOdtyxaNduzQaM8ejfbv1+iZZ6rRiy/WpGPHLqC3325BH32UTZ9/PoS++GIsffFFGX3xxWT6wx/G0kcf9aV33mlPx47Vp8cfP1cHJYAWQxcADCAGIEN9Ac4yMox6Q12i7iJ5BoGk4EFSssVKSlVI2jlsqS0k4VisrDCpkK8OSQhjkHdFoEWFhXiUdUZexXCbE5CoZXkoz5ierwOKT/WpPrdTOczH/CyD+owJ2fYCST13nKCsR16hrIePU9tr7qb00nJqMmYOdVqzy7fVvTuv20OwKLWbt4zaz1tGrUeNDUERQCjSTj4SMPDrGoALZudh+AvDbxgSg/8T+z7BOXzo0DQqLa1GI0bUoDFjzqOysno0ZUpjKi9vTuXlLai8vCVNmdKcysoa0tixF9DIkbVo8ODqOkTalbNOm3Z0Tvchvki7lTsDZ5nwpLthJiUkY17rrtlg2zkHMVZSqkLSS4Nm276HB4YvF0gKZ0mqYpD0TN5AWpk30hEKVUgyg4HdsVhAkvne4e7BUFV1IUnpaDC9P2P+rdR60Xo9/kmbRbdT8/JrdGk56wbqvHa3L+DU8YZ7KWPUeFfSsnQMXdQ1j87vmC3SMZtqZQ13/BDNH4DT73pTN1D7dU8LKCnfQKLBKtliJaUqJCUqRpJYkuJnfeLOHxYTtJNt8mZE1LYuyRsTAmrAkl2bawdCON/uWDiAsbuXl/3h7sH1JJBk0VFkXLmamoydS40um0T18i7VAarN4g1klk637fAFnqxmyemreZcE33TrRSm9nIugcs2GrImZdFu4h/red5KKNp+kXtuDN/yUaGiJ9/2TLVZSqkLS50WDQh2fedgBM99SAWZi9QzJONzGkAJg8ApLOB/+R6wnZlDi/X6lKCP3IZHmydcj5bLbQRBD0mN5Q0L3Va9Pym2/G/ZOq3dS/aKhIamXN4Dq9CwKCaxPHW/dXkk6r3/cF3AyIGkhaXlzEyrVC+ZT7b5L4i6th91BkxediLlMuOYEFTx4knK2GtL7UQEmv78jt/k5NXxu84jXeakKSU7vIFZwkSr5GpCU+DY7XJ/BnT/e9R/y+4YgB9sz8sZ57m8AR6w3yNuArbmhfXws2vShvKGhskWal1o3XA9I1f28zcfV+/KxpE39biB7bHuDMh84HJKWs28MARJgCVam+oWDK0nbq+9MKUhqPGgVjZ53NO4y7spXYg5IOoQtPkEAJZZht56QYTgL66rf35ZVfskUKykVIckpRtLnRQPFiuTgjwTQS0ZIKsqdHLKoMHgAehh03MKACkpL8kbr0MH5RQJe6n3dwAruyffDM6nX221zvo/lDbY8n48LJHnoELrd+xx1vOXRkGA4TrUsYbvhpWN1J3A4gqvSesEaT/DUdc1eypn4EOWOecCVFE1+jErK9/kug2c9Fx9YiYPVyI1lCrA0YoUhhQ+IVckKZmK1L5liJaUiJEmMJPeLAltZv5IRkhggADKqVQkRtBl2+JxwKUDJcOI2Rj8YWuIBSQxpAJtw5eTjvJyKHQRxfdgd53ySKo1V422Xb/sbH9D9lbCGmxmWzL8bDS4LOYOzU3jba++2BSevq3lPmH+8SsGMG+CJ9pzSVSdo4HpDBtxxkrK3CTTZfQt+7D8wY1Ho3yA3sJxi9psf9/Arj1SEJMxe4/o2p5j1ZgUGsq8CrHRIKlxIWu7cQMs7eUrEbaWsbXJn0GO5gyvpgB7zKHdGVM8DyDDrk9vfKGu4+kS5eVmUJbmjw57P+XEZNuaVWl7Dx3VIUuqJr0/K1K8G0Gs+XTbs1x294ewNadB/dFhoAkQ1HjXrLGdwOIe3W7aZBJJi74/kBaLKrj5B/e4+qTt7520RWPL6jbg53ylWUtDCAKQiJD0x5ErbzkxiJFXAkB0YJjskcac/KreM2MoCUAj5KkUICrGGJFivuJz8DLBeAfB0y5ZFufGMDEG6pcviHD4ukORhuM1NQ49zADr1iy4L+SrV7V3iCprY+tTossnUZcV2GlC+nQZP2k5Dp+4O+y9OLEnxg6oha0+EHL3h8C2z4/yBxmQKA5CKkCTT/8ODkB0gYX+qQBKDhtmqhN98zEvKkOTGKsT5ermGLWOqRYjLDsDjPNWUwQogBEuUeoy3BZJiAEcMUVmPvErd7nk2NOsN0MMA5CYFVMEhvGGuIT2H3iCQFBCfJVifJi6tcPSGDxPCCPC7lzTyuhi6+YXQvztuoDj9tviSQNVxKkLSd4UltvUv0//DA5QBSVeRljsn0MJQgW8rXFnNvkrGcNbZz2dYn4ppZd4IapM7vVK+lYHn7GutyuD2GrYIYbhNvW9R7qSQLluVmX2YPs4vrlRWtSzc9qAs6v6k3g5SB4VI3hz/CMNn5hhL+I3hNjfQ1Dh/OLUpKacO/efQZVN2WQKTWJLiZ0kyD9ONvqHC2Ruz4ySMQOSgxA2TVdp3y9HAgFKqQVLZ5J2hTsWq7p0sKHLMAKhUhCQAAeDjeF5/HYDsAAFWHNYbgIt6HgMPH/eSGtYne7Bi2LECGZQZ97LKg32YDOuYdf5cTivIUp8vqbaDCkkMS+YUjtvsxM0pHLztwKl+dn/qOnAhZQ6+Rpe8EWtCwCSQlDhIUqEJliUMwQVJF5OpLMkywy3VIElmtoW3FIWDwVSFJDcQwLAC+DCfHytIYmuR2YrE9wfcMOjgXKv9ZqDjcwCGfK3hs2QNUnx+0qRB6gxUS5IZjpx+I1SAGjqAtxFawAxPzQvHUuGoDbpcMvFBGjnnWZnhluBhOYGk6AAxWWa4pRokycw2gaRoOnqeLg/rjTkfhiQri475XP7t5hq2FFlZkTgfLhcgjvfxcKPhr2QNPwAjgaQY+iQB1iKFJDuAQpBKc+BKBLNUwaln6Y00Zt4hGjvvME1a+JYAUwKASSApOkhKlhluqQZJMrNNIIkhwmvKfkGACvgkma93Azxer2HHbFiRYCUC1EBwLxwDCDEgoVxsbVLhx6qsXA71PGzz/qRPU8GSZAdJWO7EvAQKlkVRIeni3gMoPW8otehbpoOSOgwk2/EZjhNIig6SkmWGW6pBksxs8wuSFpCWe3mghS0pgAc/yroxb1jI6mIMa1V+/ofyLgsdZ+uM29SwPlXOD2VWAchtXoAiOGrjfMOKdHa+XB8z8saGyoxt3p/0aSpDkhU8YYFdK4fwNgvWUvsh86nDgDm65IxaLValOFmVBJKig6RkmeGWapAkM9t8gqSCBaTlXB5oqQRJPpSVh7108LDIL2pIsshzZe4IHWLwLJBncgcS7gOZkTtWl1G5E/T3gPJhP5cTkITrnd4T549z2+RMczzXKZ/AHatqkGQFTtjXee1uajnrhpBTeKcrbqdLlj1HuePWi99SjGFJICk6SMI37PTPMCgz3FIJkpzWbPuuoDg0OSSc43JVP647blcxSAJA8PcKULGCAoYk3SpkATx+XWOVD+8DOHE5w5UD57Klyg78ON+kS4MESd3vP0jtlt9PnW9/PBQKwA5q4rG/05pd1GTMHCq6cieVXn+cRl37qliXYgBMAknRQ1IyzHBLJUiSmW3RW5EAiFURkpbkjgrBh511xiskAbzY6hMOaNxACixK8EkCJOm+SSbLEMOTVYrnc3OPpDknCJCU9cgrlPnQUX0R3PTS6dRhxcPUafWuClmzi7ps2JdwcMq/rWotXBsvL1NcvQAAGX1JREFUnyyBpOghyWmGGxy7g/CdpxIkYckRqw4C++DQXdUtRG6fvypCEqxHrDt2w1LhIGljboVPE+fFqR14eYES1cmbh+DU6wFifD9OP84rppQDJFjxgtB4tpp3KzUeOYsASA0HT9TT9OHTiaXJ2CsIVp14WI+c7iGQFBtHboGk6CEJi9lyY2VOD02aI5B0x37b9sPrmo8AgNcGTLWtb4QGcAsJVf28qghJAAmAkpPFJxwkqUNh/L3D4oPrVJiJZhtlTEnocTl8Gaq7REFS17ufphYzb9Cl8YiZ1HBQma00GjKZmk1cSM0mLzlLOty8xbbxcwKeSI4JJPkPSYi8jSVKZC236EDJaYbb/w0cKpDkMyQ5OW0vmrBZIGmau+E4A5KuJC1ntojUQTB1IN6Q1PHWHdT2mnuo1dyVtlDkBEzmY82nXUut5q2qJB1XbYsJOAkk+QdJpatO0MD1J6jknujgIN76G+T78T9KqxQz4BJd9uAOtx2gkVcepJEznnIFN05O26j7qm4d8vL8AkkCh4EH5Hg0nJlbjlHndXt0aTZpsS9wZIYl9XerK1ZRu+s3nSXRwpNAUnSQhGG1ESsMKXxA4Mjvb8/JeXvxLVsEkmysSVnrn6TxS9+g0bOfcwU4t41eazvUhthJXiChqp8rkCSQVKUhSXXIViEmUdst59xc4Qx+xjG88/qfurY6CSRFBkllV58gABIWsvUbDCS/CtjcMXeZbeeNY4muq6BakrxCklOkbXHadjfMxnA4aPJuqlO0lKrlzCGt92wRqYPg6UAsG85KDtkOPkfxgqZGl00JOYOzU3jrBWsFkmIwrV+dGdfv7pP6Ara9H63o0GOpd1U1b1iLrIbasA9WpkTXS6pAklOkbViZGAAkDQ9MpdP2EUCpYcn1wescBVjknUAH/G44vThkxwuOnO7TeNTss5zB4SCO5UvMzt1iSXJvSYJDdt/7TuqSs1XgyO/vzCo/p8jbACWra+K5L1UgyQ5EsR/+SgJH4eHIXEfplyyXDlmgLJg64Fcj6bdDthPYxOMY4MnsEN7zyp9IMMkwVidxyE4sEP6luJ+tNanszv0JBaVUgCSnIJKfFw0UQHI5q80akmaR1ltE6iBgOhApJHXf/FLIGRtO2fFwyI4HHFndo+2IRdRlzHLKn3yvQJIFJIlDdmLBSP2GERPJztKBWErqufHeTgVIQgwku/pF7CRz5y+/3VmVDEtSwDpHATaBVuhAJA1lj+1vUdur7475LDUrYInXvvTBk6n50Fm6DJ69V+BIhaPFhiM24EgcsoMDSPiWEV3brhNHVO5Ivne/rkkFSHpp0Gzb+kUUboEid1BkrieBJAHEwFrQImkAu29+kTLm35bSkNRp9HU09sojukxc+IZAkgJJAKOCBw1nbPgbiUN2cEApyEElUwGSPi8aZAtJGIozd/7y2x00CSQJJKUUJKGxQ8whq1hEiFEUL2tPLO6TN/kuGjhrDw2b+7SAkQJGmK0GfyM4Y0uE7OBAkflPTt8tR207cViYEhlUMtkhSYJIugOeSMBQIEkgKeUgyTzzi38DnswOz4iKHQug8SPPDqOuobzJd4dk1LwXBY5McMTT+REh29wpy+/gAdMHpWNtQemmGzYl7B0mOyTdNXKlbb3+umSEWJEidNoGVKX3W0Za9kwRqYPg6UAknZzXxg7rq1mtu4b12LAumx+w4yUP+Bu1K11InUdfT/1nbBcosoEihiNOBZKCB0RW369TUMlE+iV5bTf4j1esU7fBJJ38kSSIZHRWJoEkAcTAQrJVIxtun1+NXac1u6jJ2CsqB3gsnU4NB0+MCTg1HjyFmg2ZThnDrqAhU3fRhPnHBZBcAhJASSApOSDJKahkIhe79avd8Bua3EKS06K2EkRSICmwnbxYp6KzToUDIqvjvjV2G/YRQKnTmSVCkHZY8TClA5RiEKE7c/TNNHjqLh2QEOlVIMl9cEiBpOQAJHyv4fySEhUvybd2w2YNtkjhyQ0kLZqw2XaoDb5ekfjhyDUVYCWWJLEkBRYyrSAo3L5YNnadb3+c2i2/39IpvMm4eZ7hqcmQcsofv5GKyjbRwMnbKjVmAkkCSeF0PVmPOy12m6h4SbFsNyIFJFznBpKc4iPJorYVsBMp+AkkCSQJJPnw76/t1Xed5RSOyNhWVqe2pVdRzzGrqPfYtTS0/KeV4Ig/ZIEkgaRkhaBw5XaKl4SAk+Guj8XxZIYkBIq0iz8l8ZEEkgLbwctQW3RDbai/SBrDIDV2WGPN7BTedvQSKphwlyUYMSAhFUgSSIpE/5PhGqd4SejsE/EMQWo3VMuTG0uSHSBhP4bi1HZFtr1Dk1iSxJIUWNCMpLEMamPHDV//Be4+UoEkgaRI9D9ZrnFaxw0QFe/nCGq7EQ6SnNZr+66gWAApiqn/DJTp/a4nLXuGiNRB8HQgkoYyqI2dQJI36OGp/W5Tmd2WPM7b+K6d1nHDcFwk33401wS13QgHSZjeb2dJkvXa3P0hZRiyS9NLriet1wwRqYPg6UAkjV5QGzuBpNhC0rjrT9DA2yWgZCTfTCKugYO2Xef+fulYgaQzfpLhIOnj4uG29QiHbruOX/a7ByiBJAHEwEJyJI23QFJsYcStZScR5+mgtN6ImQTLUp/7k8u6Eom+J+s1mOpvB0nYj1AB8Xy2oLYbTpBUNnmnYx1iqRKBIfcwZFdXAkkCSQJJPsxuY0tRuFR8kuIHcbKeW7Ah8feXXmbbycd7iZJkhCSnpUg+LxoogOSDPxLASSBJIEkgSSAppaN7T7jmBBU8eJJythrS+9Fgw0M8LSiJvBeWIbGzJsU7FEAyQpLT1H8sU2JnGZH93qxLAkkCSQJJAkkpDUmTF58ggBLLsFvFdymRcMT3dlqiJN5DbskGSeGG2mQpEm8g5ASOBiRNJ62XiNRBwHSAG1MvaVAbOx6Gk+G2+A232flFAZZGrDCk8AGxKnn5vvw+1ykUQDyH3ILabtj5JDkNtcnUf/8AqWK4LWCdowCbQCt0IJIGOaiNnUBS4uHICprgtwQnb8iAO05S9jaBpki+u0ivCcqQW1DbDTtIkqE2f0FILEkCgUlpJYuk4Q1qYyeQFExIUsGp7OoT1O/uk9T3PkPEyhR7YAzKkFtQ2w0rSJKhtvgBkliSBJ4CDU8CScEHCxUyUm175M0nQs7evbbHHhgi0fdUuCYIQ27JBEky1JYASOqJoQ0RqYOg6cBO7x1TUBs7sSQlH/BNWlLh7F202bsupgLAxOMZgjDkFtR2w8qSJENtAkkCK0GDlUSVRyAptWedLUoecMIQXDyAoSreAw7adqEA4jXLrcfW16jbfS8Q/5kJStp1wwHKu+05Gjz/SX1Kvwy1xReQjOG260jrOU1E6iCAOlCFIWnM5S9Q2ZWvCCQFBKQEkmIHiYiu7QRJPMut651PUrPJi2MmTcfNo8YjZvgq7afeRP1vPhSS3NXPRgRiPCvWaagNdQiIcnJClmPeISu9RCBJIDGokFyFIQmN2di5hwSSBJICZ8Hqfv9Banf9fb7KC8PG2YISjuF+zSYupFoXp0ckFzXrSK0yS+MuXQpmUv/Rm0LSc8rtlHH5Ss/Sc+RKKhi0ko70sV+rDcdwjhsZXPaowJTLiNwCSUEFBClXlQ4BIJAUrKG4IFqSejz6OnXf/GLcpfVV6yICFQBO7UbNqU7zzmfJ3PbdbSEJFpLurbqcdY1VPnb72vYaS7DOxluKhq6l8y5M90U61W/mWEezm7dxfZ/e/a6hQRMeSagA1ErL9wYe1gSSBEaCa0kTS5JYksSSZGtJan/Tg3Re685xl9ot2kYMSS26DaLRc144S6bMPOAIAFtGrzzrGqt87PYVD7+D6qd3jrvUbdDWNbiEg6klrdo71lGTOo1d36vOxa2pXsMOCZX0FtmUDBYtgSSBJIGkAC5LIpak5LEkdVq9iy4uLo271OlZFDGsRDpshesadyiiS8ZuikjyBt1MbbqUWspPe5XYQsCnOYWW19jlZd7frHWRa4AIByuJOv5Jz2zb+tnasUvSPd8FdZpR87Yl1LL9gIRKt9xZjtas9OJrSetRLiJ1EDwdiGSmT1Cn8vJsGXbAdONAKT5JwQElNTI3R+jmtOTqJ6hHv0URS7eiuXRe44y4As/FrXtGXN6+IzZEbOEcMf0J6tV3kS6Nmves1LEPTG9lCwEYchvRtlfoWs7DnKLDTRTExPK+4eoGx2N5/yDnfU6jTlSzZWHEUqfrKOoweLWtXJA3P3idowCLvBPogECSOG6nWoBKq+cZN+9lap8zMa5OxT0vWRIx6Fg9QyT7skuWnGUd+n85Bbag9FhmQcgBWnWGVrc7ZI1LSViApchuBuBve/YKxDOfW78NndO4W9yleruB0mEKNFVNHRBIEkiKpPOVa2JngZsw/1hMnZ93D7/eFga+7p1DXvxugmz98FI2PDOe3Q6S4Kuk5le7TjOqXa9l3KVGRnHV7KgEUOS9J0oHBJIEkgR4Ygc8kdRtbv9lMXV+zmpmbzEBJHiZwaWCQzJv45ntAAn7MetNfb6aLXIprduEuIuWOUk6y0R1lnLfqql7AkkCSZF05FXhmuLSDWcNVZmdlWPx2+xHpHbOfm0/0bmbLRS8k9mjEhD4dc9Y5FOrSRZVbz8kank7u9C2Pvb1KDor/7SuY6pmhyGgIO+9qumAQJJAUtCBZ9CEh8M6E5udi/34naoOyoCVcU0ybKEAlpP8Bs09gZLh2FtANVvGV6p1HEZaj6lRSY8e9kE2URcjeo2KKv9oyyfXR/d+pf6k/qLSgUii+rZesIZazV0Zc2m//P6olheQ2W3+DiNh1pTqwBuv7VR1FI6FZeXc+q1dO/X+OSfXFpQe6ZrtOh84Eldvd2nSgsSW3gNt6+GT3D5J+1xRdQxRgqfcW8AkZXTAKpaLXcReu0i7TvuxVMGFzTpEJC1GzaPMdfs9y6VXul87KBlDAMTasdcuYnJmwVxP1oVYQECy5Fm7TlOqXbdl3KVGRl/Xnfod2YNt4QAWlIweZa7zStYGEc+IZ7UT1FGyPpuUW0BFdMAHHbCCJLuIvXaRdp32l07bG3FY/iFTH6PLZu33LKXTUxuSYu3Yaxc1+aL6GQJJLpe/qNkcjr3j4y5a94mkZU11JRlZLgDBZV5u7xm085ysSDooZpW5qsugPZeUx903IPUk9RRWB6yi+jpF7PXqqJrRaXBMIr227TqChkzc4RjFNdbDbans2JssFptw5TQcewdT9fbxlbQuY5Kic3WChK/zCqlupnvoCtvYBAy48Gx4RjsrEuom2Z5JyiudvuiAzzpg5eCaDD4gF9ZrSZ16TqKuOTOikqyCKyJ2Ck5lx95w8OH1+DkNEbE3vk69uF+1DsOko3OAk3DWpJt6XZay9YdnswMksSL53NE46KB06lLXgdYBr52dnO/PauOJqkfdsTe9K50TZ6ne9tKU7WwD/YG76JxezulnCwuwtCT781mVP5wVCXVidZ3skw5ddKCK6UCiOuuqft/EOfYWkZY1RUTqIKQDxT3H2EISLCrlPYeHzk0V3cEzOVmRUCep8qzyHNLeiQ5EoQNVHVYS9fyGY+84SusWXzEce6NQGIGLlOw8naxJv8lNPbDGM9lBkmFFkm9EOlbRAdGBKaQlChKCct/EOfaOTsnOVj6q5GxYw1lWDN+k5Hw2s06G80Ua0XOkfJvyZ0h0QHTA0IGaLQrIL4FzbqTwozv2+lgWt89UrcNQ0jKneBdWoEiulWu817fUWczr7JOcPrbWFX2mW/eymJchom/Rg27U7V7mOKMNdRDrMkj+EbS3Ht6x1K/Ur6864Gdm1dsMiNghGNf6WRbJSz4U0QFvOlDew9lPZyMCKyZ5Z7Ul2z66tu5/1WN40j9jsr8jKb+371bqK8b1JRXstoInk5YJcXu+nCd1lXw6cCqn2NaaBIjIyJqQtN8Aym7nh4T9eHbR2eTTWXln8s5iqgNGx88AIKnUh+hAVdaB4h6jHUHiMKbG638Wkk9PUHYnSMKzJ+uzSbmTTx/lnSXJO5MXlSQvKkk7JtGv5NOvl3unHkyEg7/9vfsLIEkbIzogOnC2DkgnlnydmLwzeWex1IGMrPGOFpff5PYhOEDHsgx+5o2yosxOViQ8s5/3lLzkGxUdSBEdkBeZIi9S/gFIJ+ejDsBJ2wkqHs6+NGnqG2V1ehbDIV3aAekLRAdEByx0QCrFolJ87GykfqV+k1EHYH35c26BI1wM7zEy8KCEMjoBEp4xmaxiyahLUmZpA5NaB7TMSVS1hRW4qteDPH/V/g7Ofv839RriCBhf5wEwMNvt7GuDsA9lQxmdIOmqXoiTFszyS7nkvYgOBEAHtO6TSETqQHRAdMBKB17uXeIIGYd79wts+4GyOQESns3qmWWffAuiA6IDIR0IbQgsSYMpOiA6YNKBjMxxYYfdruo5NHD1hjI5ARKG2fBs0v5JZyg6IDrgqAOOB00NppwryiQ6UPV0oLzHMEfgAIzgnKDoRrKVNyj1JuWoet+2vHMX71wqyUUlCSwGpgMUfU2MviKOkJNlBseyMsckXE9QhnDl1GMiyTed8Hcl33JivmWpd4/1LhXmscKkcZXGtQrqAJygw812+zq3IKGgBEBCGZwgyZjNNkF0uArqsPR10tdFpANa94kkInUgOiA6EE4HhodZABdwAkjJyBwb9zYF9wwHSChfcdaouJctXL3Kcfn2RAcCrAPycgL8cgRgpUMLmA648fcxLEqj4/busjJHuwIkw29Kvndp80UHRAc86IBUlofKCliHJe9O3l0idOCR7AGOQ1o83BUPKHEDbSgPypyIupJ7yjcqOpDkOqB1m0hJK4CWZC6/lF3eX5LqwCO93IHSw70GxOwdI28GMqcUZZV2QtpK0QHRgYh0IKKLkrRhl2eVj0R0wD8dcDPjDfDyTk6x4QvkU7sBv6JPcpwXrGVo0mey+XRf0R3/dEfqUuoyaXQgaQoqDZ38GxYdCJQO1O02nk7l9HVlzQG0HOldEhUsAY6QBwNQuBRlQxmljZMOWXRAdCBiHdC6lZGI1IHogOhAJDpQt9s4eiL7EtfgArA5kH0JXdXjMsrqPips24NzcC6uCQdF6nGUCWWL5JnkGvkWRAdEB0I6ENoQWJIGVXRAdCBCHVjRa7AniGGgwUy4ozklhOtVwT43U/o5HzVFPtKuSScnOiA64IsO+JJJhA2r3FuUWHQgdXRgeNbwsAEnVZjxexuBIlEG0anU0Sl5l/IuE64DCS+AAJY06qIDKaMDGB77ba47p2o/IQn+R26G76S9k05XdEB0wJMOeDpZOrOU6czkvUtDESsdgC8QhrzCLWPiByThHriX+B+JPsdKnyXfKq5bWtcJlBgpI60rS6LKIPdNzLuXeq8K9V6361ha0TM2sKTDUc/BhHtUhbqUZ5Q2Q3QgQTqQ2IoHJCXoweW+UveiA3HRAYYlP4bhkAfAS+BI2k3pO0QH4qIDcbmJdEZx6YzkXUqjEXQdaNVtDC3sMYSeyO7nejYczsU1uDbozyflk29QdCDFdEBeaIq9UAFS6UiTSAdKMkfQyMxhtLLnoEqCfTgm7ZO0T6IDogMJ1YGE3jyJGnOpJ/lQRQdEB0QHRAdEB6qYDsgLr2IvXMBUrBOiA6IDogOiA6ID7nRAIEkgSXRAdEB0QHRAdEB0QHTAQge0ruNJROpAdEB0QHRAdEB0QHRAdMCkA1qX8RS1ALT8yEfykHoUHRAdEB0QHRAdEB0Iig4I3AjgiQ6IDogOiA6IDogOiA5Y6IBUikWlBIVgpRzyb0p0QHRAdEB0QHQgcTogkCSQJDogOiA6IDogOiA6IDpgoQNSKRaVItSeOGqXupe6Fx0QHRAdEB0Iig5oXcaRiNSB6IDogOiA6IDogOiA6IBJB6RCTBUi0CjQLDogOiA6IDogOiA6AB0QSBJIEh0QHRAdEB0QHRAdEB2w0AGpFItKkX8Q8g9CdEB0QHRAdEB0QHRA6zyORKQORAdEB0QHRAdEB0QHRAdMOiAVYqoQgUaBZtEB0QHRAdEB0QHRAeiA1nksiUgdiA6IDogOiA6IDogOiA6YdEAqxFQhAo0CzaIDogOiA6IDogOiA9ABgSSBJNEB0QHRAdEB0QHRAdEBCx2QSrGoFPkHIf8gRAdEB0QHRAdEB0QHBJIEkkQHRAdEB0QHRAdEB0QHLHRA6zSGRKQORAdEB0QHRAdEB0QHRAdMOiAVYqoQgUaBZtEB0QHRAdEB0QHRAeiAQJJAkuiA6IDogOiA6IDogOiAhQ5IpVhUivyDkH8QogOiA6IDogOiA6IDAkkCSaIDogOiA6IDogOiA6IDFjoglWJRKfLvQf49iA6IDogOiA6IDogOaJ1Gk4jUgeiA6IDogOiA6IDogOiASQekQkwVItAo0Cw6IDogOiA6IDogOgAdEEgSSBIdEB0QHRAdEB0QHRAdsNABreNoEpE6EB0QHRAdEB0QHRAdEB0w6YBUiKlCBBoFmkUHRAdEB0QHRAdEB6ADAkkCSaIDogOiA6IDogOiA6IDFjoglWJRKfIPQv5BiA6IDogOiA6IDogOaB1HkYjUgeiA6IDogOiA6IDogOiASQekQkwVItAo0Cw6IDogOiA6IDogOgAdEEgSSBIdEB0QHRAdEB0QHRAdsNABqRSLSpF/EPIPQnRAdEB0QHRAdEB0QCBJIEl0QHRAdEB0QHRAdEB04Gwd+P9ucqXUmn2BlAAAAABJRU5ErkJggg==大佬好,是有导轨槽的,你看看这样的结构可以实现上下运动吗 晓昀 发表于 2021-10-21 18:47
不可以吧。蜗杆有端面模数和轴向模数,从你图片看,齿轮是直齿齿轮,没办法啮合。
在它们的横截面上是相互啮合的啊
浣溪沙 发表于 2021-10-21 22:01
模数一样,就可以嘛
嗯嗯,就是按相同模数画的
未来第一站 发表于 2021-10-21 21:58
能挂住。
嗯,谢谢大佬答疑
3390610935 发表于 2021-10-22 15:31
大佬好,是有导轨槽的,你看看这样的结构可以实现上下运动吗
还是那句话,根据约束,算自由度;
一个导槽(最好是燕尾的)限制5个自由度,齿条可以(只可以)上下移动;
加之涡轮两端轴承固定,限制5个自由度,涡轮可以(只可以)旋转;
这种啮合是没有任何问题的;
在不接入电机、减速机的情况下,要说齿条能不能随意停,要看压力角;要看摩擦系数;
在接入电机、减速机的情况下,如果电机、减速机能自锁,那么蜗杆就不存在因为外力反向旋转,齿条也就能随意停。
蜗杆上方还有一齿,直齿条无法动啊,是图不准吗?
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