Издревле небо воспринималось людьми как внутренняя поверхность огромного шатра, на которой привешаны фонарики-звезды и два светила для освещения дня и ночи. Земля мыслилась как плоская поверхность. Вселенная мыслилась сравнительно небольшой. Цари думали, что можно создать царство на всей земле. Заветная мечта владык была – захватить весь мир. Иначе их величие было ущербным.
С этой целью великий правитель, один из самых известных людей в истории, греческий царь Александр из Македонии повел свои войска на восток, чтобы захватить весь мир. Затея оказалась бессмысленной, однако Александру удалось захватить огромные территории, он захватил Египет, часть Малой Азии, Персию, где разбил старого врага Греции, персидского царя Дария, дошел вплоть до Индии, но на этом поход захлебнулся.. Вместе с войсками Александр нес достижения великой греческой культуры, поэтому его походы были не только разрушительными, но и созидательными. После смерти великого царя вся его огромная держава распалась на отдельные государства, где правили его военачальники, и в общем вся эта эпопея может считаться в какой-то мере прогрессивной. Например, в основанном в дельте Нила городе Александрия была создана огромная по тем временам библиотека, которая сыграла немалую роль в распространении знания в древние времена. Александрийская библиотека была уничтожена во время арабских завоеваний в VII веке н.э.
Александр Македонский. Старинная мозаика.
Уже древние греки знали или предполагали, что Земля – шар. Что особенно интересно и важно – уже в те времена греки измерили радиус Земли. Это сделал впервые в истории человек по имени Эратосфен. Он родился в городе Кирена в 276 г. до н. э. В дальнейшем семья переехала в Сиену (ныне Ассуан, где плотина). Мальчик учился в Александрии и путешествовал туда и сюда с караванами торговцев. И он заметил, что во время летнего солнцестояния (это дни, когда солнце на небе как бы застывает относительно горизонта) солнечные лучи в полдень в Сиене достигают дна самых глубоких колодцев, и вода на дне искрится в солнечных лучах. А в Александрии ничего подобного нет. «Почему?» – думал мальчик.
Со временем у него возникла мысль, что так как поверхность Земли изогнутая, глубокие вертикальные колодцы располагаются под углом друг к другу, и параллельные лучи Солнца входящие в Сиене под прямым углом, в Александрии немного отклоняются от вертикального направления.
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AoFAoFAoFAoFAoFAoFBgb3nuDYzr5x5lY7Xs9I9tuLLHfW9e+ofCg0G8eLrwwWBAcunPeDNA9Wum8suHt69kKJoOf338JT4LbE0pxfNUGcUp6uiDCkvqPf0HS3rf3boNOuH4W/wZwlpQzk+RzQfVUexPaH5evpoLtn8LB4LXWW3VZ3eGisAltdik9SPuOkkfuGguj+FO8HXsS7mnMr4qGh0MGSMel+V5pBIR1dGuogE69dA0E//AHUrwbtvRmpmdXeGJaUuNOSbBMbQpsnQWCUd09j3Gx2NBs0P8In4M5aVKVznaIxSddEqNJZV6b3pTYOvvoNzx3xceGLK3ENWHnjCZLjiUqSg3hltRCvTssg7+71oOg2nOMLvyWlWTL7LcA9vyzFntO9evXXSo7oM1sEbB7UEaBQKBQKBQKC2lXK3QVBM2fGjlQ2A66lBI/bNBbnIsfB0b7b/APCkfz0A5Hjw7m/W4fllI/noJDlOMAbOR2vQ/wDXG/56CHzsxb/7S2r/AAxv+eggctxVI2cmtIH2ma3/AD0EvzyxAb3lVn7ev6ua/OoJTmuHAbOW2YD/AN/a/OoJDnmDJ+tmdiGvtuLP51BKeQMCHrm1gHfX+yTP51BKrkPAEnSs5x8a+25sfnUEp5I47HrnuOD/AOasfnUEFclccpHUrP8AGwD8TdWPzqCmvlLjNtPUvkTGUgfE3aP+fQSfSzxafTkjFz+S7x/z6Avlji5t0sL5GxlLgIBQbqwFbPp26qCmvl/ihpRQ5yVjCVJ9QbswCP8ApUEPpj4m7Acl4wdjY1dWDsf3VBSHNfD5BI5Pxcgdjq6s/nUEp5v4cA2eUMX0P/zRn86ggvnHhxAClcn4yARsH5Sa/noNOzzxm+GDjWKiVl3MuPx/NSpbTTDypLrgHr0oaCj8NUEvGPjG8PvK2KN5jYc7iQYD0h1hpF1UmK8vy1dJX5ZJUEk71vR+6g2v6f8AhTW/pPx7/DU0EVc/cLpT1q5LsOj3BEsGglR4gOF3P1vkmxq0N9pFBMOe+G1DY5Esx/I9/wD6oIL594bbSVL5CtKQn124r+agfT7w70BwZ9bSkkgEdZ7/ALSaCVzn/h5oJK85hjqGx+KdOx/cUEB4guHyoITmsdSj6ARnyT/0KCUeIXh5W+nNGjoEn9SSPh/ydBE+ILiEJUs5eOlPqRBknX+ToJvp+4mCEu/OhfQo6BFtlnZ/vVBMnnnitaSpvI5Cgn11aph/iqAjnni5xC3G77MUlABURZ5vbfp/4GgfTxxjrYvFwUP9zZJx/gZoJTz1xnoqFzuxA+ywXA/xFBKOfeM1DaJt7V23oY5cSf8AqKCP09cdaBS5kKtjY6cZuR7f3igl+nvj8pKgzlBA7HWK3P8AQUEU88YIs9KIeWKP2DFLn+goJjzlhnbVry87GxrE7l6f3iggrnPD0gE2XMyD6axK5foaCCuc8VDnlDG84UfXYxG46/d8mgnZ5sxx86bxbOPXXfFJ6f4WqCKuaLElPUMQzpQH2YrN/R0E8DmKzXG4xrazh+cNrlOJbS6/jMtppHUdbWtSAEj7SfSg32gUCgUCgUHxa8Sf4Q3xgfTXnHF2EZxBsFsx+9T4EdUGAw24I7LqkhTjzoVo6AG+3fX20HmPJudvFbnhucLKeXM2mi3LT7exIvTjKWlFYbHUjrSPr9I7DsdUGOw7DsOyLOrrifK+VZlAmhKmrcYNqRc5EiYAdNrb84E7PYdBVvdBrdswqxv5jJx+flcSFFh3RmEH7g05E89tT/QtakkFTPSnaldQ7aI9dAhlct4xaReYr2JvtmDe7pJYiRyXHkwI3tZjx1uyekNrS4QrSh69JJA2KDBWhKsIvD9xm25qVdLLLShMOdATIgu9yk+cFqGx9g6SD9ooOpYT4Zsnl2u3chZZPxa12GTZ5eRLEuWpwrtTSiyuSlpgEqPnKShKAoK6gNgDvQX/ABFx9O5GkM8d4TwgvKpchm2KuE5i9LVFhtKWVPyHlJ21GdUkdIcV+toCgUkk0HoDMvCBaOUsLj5Y+qz4PIsspjA7G3YLirKIV6eT1dBLiHPMYW3roWenWz1aG6DSc18D13bt93jtWW5RprtlteQ2G43j+lQbh+1eyzI0xMhfQl5JUl0Eub6QABogUHC5HHmBs3y6XOdacwh4c7JeiWG4RGGpntrrKlNhBOx7zrjSvq76ArfSoDuHReP/AAv2q/36xW2fynFtVyyGTa27V8jSEvMtx57LyG3nHNoKFMSmQ0+Nb2rt3IoJlZl4zuCmLjPwjmvK7lYrDJkMuTrXcHptvSy1K9mLivM6ko6nQAEKAVopOtEUHccQ/CIeP7FL7eMWuWFs5Y7jUVNyuMa9WL2aexDX0lLjgYUjsQtB2AexBoOucb/hnYdymfJnJnAt1gvpQt1btmnJd0hsEuHynwgnpAPYKJ7Gg9O8d/hFvCVyIuPFa5Nax2dJQ2tuJkUddvWoL+qUqcHlqB+BCiDQei7ZdrXeoaLhZrlFnxXPqPxnkutq/IpJINBd0CgUGFvuFYdlDqHslxW0XZxpPQhc2E2+Up3vQKwdDdBjBxJxWkAJ42xca9P6UMfm0FccYcbJ+rx9jY/+VMfm0ERxlxukEJ4+xsb9dWpj82ggeMeNirqPH2NE/b8lMfm0Ew4145AAGAY5oeg+SmPzaCYccceJJKcDx0b7HVrY/NoJzx/gZGjhNg1/8NZ/NoIpwHBUnacLsIP3W5n82gn+ZGF//ZCyf/x7X5tBH5k4ZvfzRsu/t9ga/NoJvmdiIGhi1o1/7i1+bQTnFMXPrjdq7f8Aqbf81BN82cbHpj9t/wAEb/moJxj1gT9Wx28b+yMj+agn+RLL1+Z8kQur+29nRv8AgoJjaLUfW2RD/wAin+agim1WtHdFtip/Iykf5qCIttuHpb43f/8ACT/NQR+Trf8A+gx/70n+agj7DC9PY2P72KDE5FgmE5dEVAyrELLeIyklBanQGn06PqNLSaC3wbjXAeNLH82cBxK22K0h9yQIcJgNtJcWdrUE+g2e/btQbB7NH/8AMN/3IoI+QwP/AAKP7kUEQy0PRpH9yKCPltj0Qn9ygdCPToT+5QRCUj0SB+1QNUEaBQKBQKBQKBQKCFBGgUCgUCgUEKBqgjQKBQKBQKD4OcjptUzxQc+R4WGWSdbLjKuUGZKyES30wpapSil1lyGjqZWpaNpCgQUoKSo77hjM24gw/JLWLthXJVhu1umKtzsVmT50m9vzGoX9MVIh6MghTrSfxbmgUqCk+hoNAn5DORlLd35Rwi52WyZKgQYMy324sOxGovlhhVtQ5+tlLiU9YClEhak9jQd+8M3CPh75JvuG8nZS5lrKYq7ha8lhXZhyU3NyBuMXmkIc8tXSx5SHVqKz1BaUp+IoLDgPDeI+aePsLx7mnn252ez4rcZEuPaGrWh+BGhOTGWWYsl9vSm3XnSpQCwfdUVDW6Dm/IvA99xTly8SMMw5FyWqVcJ1ktloDrrEZUCXqQ0GpKPNlNtNgEga6gvsSEmg6vxJw3jNrblYnP8AE9dot4yRxrE4mKwsYkSZcKDNCZUtTkKVrymwjoX5qNpSoKOzrdBnXkXDNGbS3j/zB47xO1Ju1kTcHLVcmReoiWkQpE+U/FaQw6t0ONqbGuyifgDQdzxri/DHM04n8Md0vOIZhjODXK7JyOLHsEu1mPNitB5qaZLQCVO+QtlDnUroWdnufQN7xfiXhee5kHAysjtnImVHHbtdsYvF6dcm2q3Wa5TEmHCeV5v4w+alKkkdyBtJ+FBpvJPhqyjip22TYAxbCLHx/ZHcoxZu3LDzN5z1xoF1tqG8pTi2+hohtpIB77HftQciynBsclcYZHyblVizd+Uq2W+9coRrRGZs1tkynpLTzEGIqSjzI7jfmpdUllPQ4rfor0C85m4t5rxKwXvlPi3jHOrCMsv2P3mDZWA28xGbCHGFsvxQpxMqWtaUOLUpPl9K0H63ag55l/AXiLyPL87l2vPbRyZu2RMxyGLLuiIs2K6lsFDc+G1ta1s9C0JYQooBT6A+7Qbdyv4ezfrPhXJV4yTF+Qbfm9udcuWfZNeX4NpxuQ4QtmChmOpPle8vSeobUSsFKaDnGW8OTpXHHH8u/YHOzuzRWIOMDK7NkEf5EMt6a4hpHmtNGQrym3EtAK91J0NEa2Gq4Tx5zBwVLjJt/iImYhkMm/SbHGwzGJ7lxvCpjTnQELjNqSwAo6HUpXfafd76Advxz8J74ruEcxuuI8r4i1mttsigqT7aw1FuUWOpYShT7sUqaQvukEKB0o63ug9bcL/hX/C/ylIjWjJbhcMDur+khF7bHspWe2hJb2kD71hNB7Cs19suR25m74/d4VygyEhTUmI+l5pYPxCkkg0F9QKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKCQPNKcLIdQXEjZQFDYH26oJ6BQKBQKBQKBQKBQKBQKBQKBQQoI0EKBQN0CgboI0CgUCgUCg+RfOWF5hbOb3syw+FNagXS9ZQ15HH1wehvXNcRTjiTJdUSpyf7Qvo8gBW20bSANbCheePlcG2eFzvb8inWHP7XiFpzcpvsRx5yXM8wxpkGTcSE+b5jTmvZm0pUOgb9N0G9HwgW7LPBjZxkeATp+ZZBkrl1x5VjlqkSbXbrhLadW4y3J6CltLSQpaSOodySNk0GyY14Z844CNgjQcMyjNsNwDJ05VcZ1qkoenZjMlRFIMhDIdHQ1GKelTSiouhW++zQdQsuIQeaFMcZ5TxRB4sw24qgZq5ZY9mDXytamx5aolyeSEIjyUyA0sJQoqCEDv60He7CuFduXMttDGW2SbMx21wWrbbhaQJlh9oaWVOGQru6h7oQekHt5ejQaTH4yz6au9YwuPFtnIossKR9L7FhhAT5QdUksCOSVgoaSEKG9FK+xFBvfJ/G03Ko+CmJj9ivL+NX+LOfTPddjMoZ8tbb7rbbW0rXpZKW1goJ9fQGgs5Ph0xi58zO8zX/I79cn22CxbrM5LKLdB62SzIIZRoO+anp6g51aKQRQZufwLw5crZb7O/x1ZG4dqdhPQ248YMeUYiyuMAW9EpbUSUpJ6QSe1BU5D4xTn2TYNfn7szHYw28qvCortvZke1r8hbaAFrG2Skr6gpHftqg0HxDXiVk2LZhjFowjNrjNwxu3X5qNboiBGyNwqUpEFK17DzfUlPnJ0CE+h3Qanl+M23lTCb8vlS3ZDkWYWvFLZ84OPcXuTjTMSepRfYehFRR0yN9SQsOa0kg+lBZ8KYrezyDas0xPjqLxDidssincqiSGYEiZd5qyvqjTX0EutOMaDylEnq80E6O6DVH/Crgds4Mdu/0K3i8yE5wczOMY/lCJrF9cMjpZdW44A25H8pQc8ojsARsnvQYDF/Dsjku5cy33jW0QHsFvdwt17wmzT5qmbO5fo5HtM1AjkPMdDra2ygJCSe/ca0FjF4tuuR4LNf5muGIyM2405QM2LkDMCOwrKpfl+f8mtHTbjTilLS0lR6ipSEHSgKDzXgPgpYufE985p8Q1iu3GUCDGkONS3Yb1wlT5cub1sSJUYErU2wCG1oWkdW+vfbdB5j5E4Ry3Db0/Hs+J3nKcduNrfnY5erQ04YU5lPSHbg2lCVENaSrbSiCk6Cta1QYDirnLnLw/y2cg4z5AulhUp5xDkFD/W0soCSfOjL2kg9Y0VJ+3XpQfRLw/fhnrTKaj2LxG4U5Df2lBvthR1tKHp1OxlHqT9pKCfuTQfRDi/mnivmmyjIOLs6tORQ/wBmYcgKcaP2ONnS0H7lAUG60FGW0+/FeZjSTGeWhSW3gkKLaiOytHsdHvo9qDSU4VyUN9XM85XbQ/pJC9ft+pQQGEcl6IVzVcDv01ZII1/0KCX5ick9Ojzddd9u4ssD9FQQOBcjkAfTjeR9/wAj2/v/AJGgDAOReoE843wgb2Pki3d/8jQTHAM/LhWebsgA+CRbLdr/AKiggnj7PR1b5wyI7O+9ttvb7v7HoH0eZyU6PN+T7+0QLaP5NQU/o1zgt+Wedst3sHqEK2A/k/sagieNc1UADzplwI+IiW0fyWggeMcxKwo865n94Ee2gH960D6L8t6yr6dM10RrpDVt0P3rQQ+izKNKB5yzk79D027t+9aCCeKcn0AvnPO1f/x4/ktBVd4tvzjiVo5pzptIOyhLkHR/djboIHiu+FxKzzPneh6pD0IA/vaggrii8rO1cz59+RMmGP4I1BKOI7rrSuZ+QT21/ZkQfwR6CKeJLin15j5BV7vT3nxv3f7H9aDWs58Od7zGwPWSJ4i+VbKt30kwrpHS4Pu2GAdftig5V4fPAfkvCWYZZfrh4js0vrORIYDchLgZnAtlRIecc80LHvdunp9KDuyOG5aNA8x8jK77PVdWe/8AkaCdPDz6SSeW+Q1b+Bu7fb/JUEp4ZcK0rPLfI3ujXT8tJAP5dNUFYcQkJ6Vco8gK+83oA/4kUEquHUKBB5O5C7nfa/KH8CaAOHI4SEnknkFQSd98hd3+6Bs0Eh4Whk7+kjkT8nzlfoCOFbeg9+ROQ1A/BWTyf56CA4RtQ2fpA5DO/tyqX+dQSjg2zfHPuRD+XLJn59BM3wdYm/XN+QV/77LZx/jKCI4QsA6d5lnyunfrlk7v+X8ZQPoMxjZPzqzvud/7brj+loII4JxVCC2cnztQI172X3En/rqCZHBeIJZLCr7mq0ka97LrkT+751BQPh9wRWuq7ZqdHY/qwun6eguE8FYQkEfKOXEEAHeWXM+n/L0FBfh948cJLkjKzv1/qsuff/L0D+h643+Jycn7TlVz/T0ET4fONSorLWRdR9T857l+noJB4deLgnp9kv5H35Ncj/H0Eznh34qdIU5a7wSn4/OK47/b/H0F5bODONrRPYuUG1XESIriXWlOXqc6EqSdj3VvEHv8CNUG/UCgUCgUCg8F87YZxwzec1zq8cLvpxm45Hb7YxIbuku0XhWULf8AZfbYKVEMob8t4rDqBt1QJO9UFy9wDdsXwXhjCuVmsIxe04fyJIkR47bEm8u3VtXWqK0hToVp18lfmlehsAp0dCg7FgNmwTNs3smWTYedZQu6/KmSYxdL5b3GIuOtOhMZ63Ae4W+oAlLbiT22Qe1Bu/HuFZfwpxZivH9gixMrXa5iYUh3rTb0s29x9ai6hJ6wotIUkdG9q6T3BoLu0cA8c2rja9cTOxLlc8ayCRKkTotyuT8ha/aF9biEuKV1oR1eiQRr4UG+QLXb7Y0hqBEbZCGm2QUp94oQnpQCr1Oh2GzQarecTueNx8wy3jWFHk5df2W3W2LrPfEBySy15bW0jq8pJH1ugDegT3oNstqp6rfFVdW2UTSygyUsqKm0u9I6wgkAlPVvRI3qglu1tjXm1y7RM8z2ecw5Gd8txTa+haSlXSpJBSdE6IOxQYbEcWuOKvTIhyN+bZQzEj2mA80Cq3tMshtQLxJW8VkBRUvuDugteTbxjMLHkWHKxdPY8rkox0G3NPKdSuUFIBK2h1Mj1/GbAT2OxQZL5m2NWFjAXW5Lto+TfkopXJcLqo/l+Xou76+rp/Z76t997oND5HagWa48acfRsTyWXbbheWWBcrTMeb+TPYmFOsKlOJ95bSyjy1BatK6u+90Fjx7glo4vzHKsActF7vkXki5XTLplzegINvYU8Wm1wXVg91dPdIUPeTsfCgw/BPHuMQbe1L4i5WyxnHImRSpq8fuCElpiOErYFvaaeQHI8VK0+Y3r16RolJoMlHtuNXvNbj4ksOXer65jVguGLxsdiRVRi9IZlKcfLaXOgLcUpAQkkdJ9Qe9Bm8a5AtnILmNWjKuGsms828xnb4mPerOhbNtfju9KQ+6kqbbkHstvvsjuCKDRb1mmZrzfG8hx3h3KhlOZR7lYp1vu09SbVbYUJTqkS3kp6mSpxxTfRrS1trI+FBa2618m5Dw3xZktwxAYnkOL3xiVkGOY5d2IVvajIW43JS5oLStlKD5pZB2T23ug875f4d+KrjYZ/NHGGSZdl2HcoXV+7ZDe4y4r02KiMHwlmJEeY65SXXFeUWh3IbSe/rQeOPFJxVZcD48tfHLmF2HHeQo9/E58+egXC/WuQyG4cotlISwSoEKjtnSVElQFBw1GLc9+HvIBkbC71hdxt91VaFz400N+TMbShamlqbUQQErSSDsaNB9DeCfwrWa4C5Dw7xYYbLmQvcbjZlaYxCJLJJCH1N6CHkKCSQ40R1AE9JoPo1xly3xtzJjbWW8Y5jbchtbnYvQ3gotq/tVoOlIV9ygDQbfQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKDAXqw3i65FZpzd6jt2WCH1TrY7AQ97Y6QnyFh1R20W1BSvdHffw1Qa/aMMy7FLvc2bFeWLjY5yJlyQm9SH5Uxq6uudSEoWT0oiJHYNgbT8Dqg2TC15e5ilrXn0e1sZEY6Tcm7Wta4iX/wBl5RWAop+zfegzdBSle0mM6IZQHyhXlFwEpC9dt6763rdBpmK5nLt0nH+O+RbtAez2dal3CSi2Q30w3Q0oJcW2pQIQNqTpKldR+AoM3imc4jnKLk5iV/iXVNnuD1pnmOvq9nmMkBxlf2KTsb/LQZ2ghugldbS80tpe+laSk6Ojoj7R6UGHw3EbTguNQcTsa5i4NvQUMmZLclPEFRUep1wlau5PqT27UEk05r88LYm3JtPzY9kkG5F0ue2+07R5AaA9zo15nVvv9XVBnaDQ7rzVgtvVmkODIm3m64DHakXu02uG4/NbS435jYbb0PMKkgkBJPoR60Fq5iuOchYldMjwWZOwy9Z3b4cl+9xIiY91QlKQWS4h1OwpKdo6VjsCoUGTViGbQjkMm0cjSXJN3fiOwUXGE29HtiW0oS8htCekqDoSpR6ldlL2O3agyGU4uLxcrNkTV3vceRjjz0tqHb5nktXAqaKSzIQfdcSexAOtKAIIoKlkv96vOFxcik4rJs92lQvaPkee8gOsPlOww4tBUnfVobGx3oOYXLB8VXgGNca3fCchw/57XT2+4x8VkueXBuJ3KfTIlNejTi0qSVfVXvXbdBgOZsDw/Er1xJbG+DbdecDx66vrbFrjv+1WGaGy7HkMsMaSpoqQsLKvRSk6GzQWgsPH/iPezm/XRq5ojyrHam0sZHjURZtcZxHnuNtocQXgpaU/jGnDtJKVJHcGg4L9BPDj3KmI8qc3OMrXzApFkxq2YpaVC1sIaLa47z0gjzOp5hptCwtHdK1JPZO6Dm34SjgPM7zmUX5lcAm/QxEjQLbOxdyUGrZCYLaUNS4yAWg7txxKCnQDat6JGwHlDkez86eCPlOPcsCyBrGI01ciXZZNovbExMuIHN+XIKDp0JIKNOJHcEDuDQe6vCl+F1xbMzb8N8SECPjd3kK8lrIYg1b31dgPORsqYJ39buj/AHtB9GYFwgXWExcrZNYlxJKA6y+w4HG3EEbCkqHYg/aKC4oNSv2SZ5b7g9GsnGyrtFQE+XJF3YY8zY7+6vuNHt3oManM+VlL6TwwpKf7Y5FF/gAoBzDln9jw23+3kkcf6FBTVmXMAOkcLMK+/wCc7A/i6CYZfzCQT9DcMduwOTtfoaCVeX8zj9b4atyvy5S2P4igmZyzmVZPm8QWxsAdv6qEHf8AkKCC8r5nDiko4gtJSPRRylI3+17PQRGT80lzp+ieyJTv6xyn/MI1BVOR8yFaAnjCwhJG1k5OrsfsH6l7/CgHIOZt9uNMd1v45Mv0/wAFoDl+5oCwGeN8bUnXcqyZwaP+C0EE37moq97jnGANf/aZ09/8EoIrvfNXQC3x/i3UT3ByR7QH+CUEibzzkrXVgOIJ9d/1SPnX70oJk3Xm8q97CcOSn/hDIJ/7JQQ+Vectp/qLw3uPe/p/J7fvWgoT7rz8ITy7dhWDqlBCiyh3IJQQV690EiL6b9aDzpas3/CVPc52G15hxjhlvwhxT/tDlol+dGUQ2ryw/IUFvIHVr6rY2fuoPSHt/PBSD82MGSfju8yz/JqCC5vPmvcx3A9/fd5n+r0FIzPEOSQmwcepHwJus0/xFBOiR4gSohy1cfBPwInzSf8AqaAXvEDsat3H2vj+rJv6OgKX4g+v3IvHvTv4yJ29f3FBEK8QB+sxx8PX0dmn/RoJHP6Ibf4o8dgbP1vbj2oCE+IfX4x3joH7kTj/AJ6ApvxD9XuS+Ogn7DHnE/8A10EQz4hDrquHHg+3USd+koJTH8Q+zq7cdgb7fqCce39+oJTF8RRSdXrjsK+H9LZ2tf3+ggiF4jCR5mRcdgfHptE0/wAooIi3+IkpAVlPHwPV3Issz0/wmgnNt8QBT/tuwMH/AOBSyP8AtVANp8QBOxm+DJ+4Y7KP8roILs/iAKT0Z5hCT8P6m5J/ldBL8heIIpV/XGwsE+hGMSO378oKibFzz5SUq5GxAr0epXzZf0T8ND2uglOPc9HWuTcTT6b1izvf7f8Axugu4Fh5kbnMu3PkXHZERLqFOstY4tta2wfeSFmSrRI7b0dfYaDe6BQKBQKBQKBQKCzRd7S5dHLG3c4iriyymQ5EDyS8hpRISso31BJIIB1rYNBeUEOlO+rQ39tBa2+0Wq0B9NqtsWGJT65L4jspb815f1nFdIHUo/FR7mgu6DXstwuFmDtkdm3W7Q/kK6s3ZpMCYpgPuNhQDbwT+uNHq2UHsdCgyltvNnvIkG0XWJNEN9UWR7O8lzyXk/WbX0k9KhsbSe43QXtBgrzccri5DYoNmxtidaZjj4u05c0NKgIS3tspb6SXStfu6BGh3oM7QUURIrb7kpuM0h54JDjiUAKWB6bPqdfDdBgo3H+KRM7mclR7Z05FcLe1apEzznD1xW1laEdG+gaUonYG/voNjoNXsaMGv2WXXLMfuca4XiAj5v3FceaXExi0vzCwtsKKEOAubPYK0Rs6oL3L8Ox7O7IvHcogmXAW8zILQeW0fMacS42epBChpaEn17670GJxbk2z5XmuU4JDsl+izcTcYbkyZttcZiSvNR1BUZ5Q6XgPQ6PY0Euc5dl2LT2HrNgb2R2tMJ5+WIMtsTw8HGktttML0HAQtalK6h09HxJFBgeT7LhN4u9gwe72OW07mtzEt6Xa5/sEgvQWg8hbq21JcdSA2lBSCe2gR0+gWtiuV+5BvufYpllsxleAwgYNnu9kvG5CD5ZblsSOkhUZ9sk90EaB9d0GGTglnZut0xbCI+S4TAQxZ77PzmLLadZvTcYBHsq3nVLUv8Q2A4sgbSd9RoPIPiq8Ktz8ReLt5ZxBwtjuIQsZucq3NXFqSw78sWVTiXmpsNCdMBCnHnnFKKgrpSoAnZFB5E8QngbyDjXMsksvDTFyzm14HYot1yW9Oez9DL7yS50tsNqUop8vpISQT6q3rVBl/Dr4jvFd4LcYh5a/YJVy4zuUxUQWW9rWyFuJQhTjsZC/xrQHWkdYSWyT6Gg+s/hj8X/D3inxtN0wK8iPeI7YVcbDMWlM2GfiSn9mjfotOx9uj2oO30CgUCgUCgUCgUCgUCgUCgUCgUCghQRoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoIUEaBQKBQKBQKBQKDWkcc4a3yG5yq3ZW05Q9ak2RyeFqClwkueaGinfSdLJO9b++g2WgUCgUCgwuL4biuFR5kTE8fg2lm4TXrjKREZDYelOnbjqteq1H1NBmqBQKDWrbMz9zPLzDulmtTOIsw4qrVNalKVMkSlFfnpcb10oQkdHSQdnZoNloMDMx+8yM0t2SsZdOj2yHBkRZFlS02Y8t1xSCh9SiOtK0BKgADohZ3QZSFa7ZbVyXLdbosVcx4yJKmWUoLzpABWsge8rQA2e/YUF1QQ0KDSouPvXPlWZlV7w1uMuyW9MCx3pFxUtUpiRpclpccaCClxpvRIOxrRHcUGYyjJoWNSLKJdkuc9V0uLduZcgwjI9lW4lX410j9ba90gr9Bsb9aDEZTE4vxbH5FgyC22222rM56rZIYajFtE+XM2hSV+UNlbncFZ/bNBruR4/YuK7JdL65OvEvB7JigtSMGttvRKb8lslPWy2lJecWpBDXT1dOv3aDReUuKIlu4iu98wK/23FsclYrCtkiwZal35vWyzN9Tj+4rZStp5TayhSgrY6deooOAW+xcJ5PnmZY3cM4sS8tuPGMS0yYnGcuQxNuLEdlMh8Bt1JaSCwGG21qX1FClJPf0DmnIvCeKZIqJxRgdktV9xjJ4LGWWZMNl+Tf8AF4rqY7ftBnPuORlspcYV56Eq+r6A6oPGV9tHKvCmS2PlpGcx7JlV5YZm4u7jCmXVXFkOFpbrnklIR3QQQpH4xXV29TQfSvwKfhNcf5rRF4y5znQLFnXUGYU7QZiXft6d/dae3+w9FfDXpQe/AQe4oI0CgUCgUCgUEKBQRoFAoIboFBGgUCg1jK+T+OMGLScyzuw2Vb7iWWkTrg0ytxajoJSlSgSSfgBQbMFJUAoHYI2KDi3ip5iyfiXC7AxgsaKvJc2ya34pan5aOtiG9KWQZC07HV0ISohO+50KDPowrOMWl2e+r5lvE6321xb+QNXaPFLUuMGXOooLbSSyUrKV9jrSSD9tBrtj8VOLXidh7sjEsgt+O8hylQcWv8htsxbg/pSm0qSlZcY81KFKbLiR1AfDdBjoXiwEjNLrg8viu+Q5ttsd2v7bjsyMW5Ua3yVR3fLIUSCpxJ6eoAEd+1BStPjQ43usbj+cmKtuNnlinZD1Caw4u1Rokb2h0SUIUVBXl+gG+4I+FBiJvjjxyFiGUZk5xlk3sOPWSHkTDhLXlXCDIdS2kodBKUOpK0lTSiFAHfegyeaeMC34SnkV2bx9OkM8awbRcbk41cGel9m4AFBaJGto79QVr07UDM/GLjmLzsyiWvG0ZC1hOHs5lOkW67sLQ5HW4pBZSQCA4koUe5AI19tBsmWeJOwY0xx4/Gtse7DPbzFsZ9jubShbH32FPpL2gdgIQretH07d6C04w8UNq5SzK2WCzYNfG7Lf4MufaL+UFcZ5EdzoKXgE/iFLHvtgk9SR8D2oNr5m5PvvFlki3qzYQrJA8qQHmkT0xSyhmM7IUslSVAjpZUPylP20HN7d4wYbzOITrvgzlsgZtgsvNLVKduKShao7SXVwD7n675akq36a3oHVBisq8aUzC7Zm0jI+LxEn4RFx+VKgKvaPMfF1KQhKCW+5aKtK7EEg6oI8n+Nu38UN8kt5FhLbkzj5y1NNxWLp1LuqprYcHljytoDaNqWVDQ16ig9Gs3uG3ZYt5u8mLb232W3Fl18JbQpaQenrVoH118N0Fv8APXDe/wDVbZew2f1e12H2/WoKZz7BR65pYR/8xZ/OoKZ5G49SdHO8dB9e90Y/OoJVcl8cJ+tyBjY39t1Y/OoEfkXjuTLbjRc8x16S+pLbbTd0YUtxROgAkK2Ts+goNkoFAoFAoFAoFAoFAoFBgsruWVW1m3KxXGmby4/cY8eYhyamN7NEUrTsgEg9ZQO4R2KvtoM7QKBQKBQKBQYHG7Pk9suN+k3/ACxV3i3Cf7RbI5hoYFujeWkeR1J7u+8FK61d/e18KDPUGDy1GZriQhhD9oaki4RzNNyQ4pBhdf48NhBB80p+qT7u/WgzdBGgw11y/HrLfrLjNyn+TcshU+i3M+UtXnllHW4OoApTpPf3iN/DdBRvszMY+QY/GsFjgTLRKfeTe5T8stOw2g0S0ppGj5pU5pJGxoHdBgs0yfKsMvse6vWWRf8AG5yoluYgWi2rfuEea48QqS6orCBGSjpKjraSCe+6DHZ7eOF+K83h8q5/f41lvl2ty8eiPyH3CH2GiuUttDSdgqASpRUBvQ1v0FBZ5DzLw7kuIsTMiS1dOOsms6ZS7/JjhdlfaefRHbjuKV3K3FODSCn0B3qg0LDODVQOYLxyJmuK2613OxWiVa7ZfbYWYdnu8CWdNMyIyT5hcjtNstlaz0nt0/DQebLziXK/hptdvw/j/M8Ns8rFmRl+cQ49xkwodzamSjEYt8cPJLbDZbPulKxp1OynuDQTck+HW/v368WXIsHv+SCzLsWF4bMSHHvYrZNc8/5SdlBJU9KiPhez2bCSAexoPFN+8FedYTxVmHMHLdky+wyLE+06wpFnQIz6lSXWChe3EKQetLS+tI6QhwEbJFB3zwV/hRMl4xi2fjXxJIn3TFXUBq1ZMW1rkxWwenTpPeQ0k9uobUnX7LWqD61Wa+Y9nWNRr5jd6ZuVnvEYOxpsGRtDrSx2UhxJ2Ox9Qdg/fQasvhTFl+t/zQfkyu4/pqAnhHEUgA3nMVa+KsruJ/jqAeEMNUdm5ZaT/wAKrl+noJjwnhZ+tNyk9tf7aLj+noI/QphBSEmRkpG998nuP6eginhPBB6nIVdtd8luJ/j6Cl9BPHZOy1fySNd8luX6egieCuOSrqVEvZPr3yK4fp6CKuCuN1hKV2+7EJ9N3+4fpqCCOCeNEAgWu6EE7O77PP8AHUBfA/GC/r2Wefj3vU4/x1BKOA+KtknHpR367u00/wAbQBwDxOk9Qxh3etd7nLP8bQDwDxKo7OLLP/zGX+loIHgDiNSQlWJbCfTc+V+koIL8PvEDn18OQf8Ankn9JQcUzz8GR4Vc5vqMoTjt6st2RKRM9pgXd5QK0qCtFDxWnRI9ABQdrb8PnDjbYb+Y8RQGt7ddOyPj9egn5U4QwnlnjxPHN7YfhQ4jjEq1yoTnlyLZLYPUxIYUd6WhQ2N7B7g7BoLLHuNeRnG27fybywcntjLC2DGjWhu3qmhSVI3KWhavM91X1UBCSe5B7Cg59E8Jd9gYxjWDxOXZXyDx/KVcMOactTa34MpKVpiqkuFepKI4cPSnpR1aT1E6oL6P4XLtGyZGVjklUmf8yrhiTzsm2BSnnZslUh6YelwAHzFHTYGgO2/jQYK0eB3FrbH42gOXi3mNguO3HG53s1lQw7emJkb2dxbriV7SoI7j63vEn46oN84m8P03BMXOF53yPcuQrHGt5s1ugXiCwhli39gGnUoH6oV0pQnrc32T2A2dhomW+CeDf/pQh2TNItgtXJ8e2RZcCJY0FENqEdo8v8YApSh2USPyAUGSzjwfwsvuWZzoOYsWNvNsNYwyYxBsjSUtMIWpankaWNuKK1DuCAND4UGDHgWhPcgWDky5coTJN5ss+1zFobtDDMWUiAw4yyhTSVepQ8vqWSpR93WgNUHQuG/DkeHpnsULk3I7vittkSH8ex2YGhHtAeKipAcQkOPJT1rCAskJCj23ogM9yFxHcOQb25PmZ/dIdsFplQI9pZjslhqS+y6yuWVEda1Bp5QCCekHR1ug5VkPh0+ULbw/wVKxWbeca46chXMZa7LZYCRESpv2NbCT1rLyOlKtDoKSd+mqDpHPHh5w3nfFpWP3duNbZktcYqvDNuYdmobZdS6lCHHEkpHUkftE69aDRcu8FeK5teOTMhv2Y3By58m22FapcpENgLgR44SNR9ggFYQnqJ2TofkoO7OYtZ7hj8bHcigRLzFjtNIUibGQ4hxSAAFlBBTvtv07UGOHFfGI6iOOsY9/639KI/f8vuUERxdxmn6vHmMjXb/YiP8AmUE30Y8bdQV9H2NbT6H5Jj9v+hQVE8c8eoIKMEx5JHpq1sDX/RoKrGCYRFfRKi4dY2XkKC0uN25lKkqHoQQnYP30GdoFAoFAoFAoFAoFAoFAoFAoFBispynHcJsE3KcsvEa1Wm3N+bKmSV9LbSdgbUfykD9ugyTLzUhpD7KwttxIWhQ9FJI2DQT0CgUCgUCghvdBgMdwmz4xdb9eLe9PdfyGeLjKEqY4+ht3ykt6ZSskNI6UD3U6GyT8aCvmNpvV+xe52bHMkex+5zIy2ol0aYQ8uI4R2cCF+6oj7D2oLxxNxi2hSY6kTJ7UYhtTx8tLzwT2Kuke6FK9dDtugwltlxbhEx6HyHDx+NlUiMZAtyX0SPLfCNP+zFxIWtKQogqCR2Pf1oLq2Q48myuW2+4rb7bCjyVsx4RLTrKmUOfiXAkAJT1aSoJ1tJ0PWgx2fWX54JjYBe8IjX7Eshjyo99ckSUpRHbCAW0+X9ZzrV22kjp6d0Gr5/Z+G4nHl14Svdq+UoTeJvOHHIhU/cZFqYHR+JBPmLUFdISd76yO+6DU42B4B8uG14BmN5sdwcskC45ZYip5+4XGzJguxYrCvMVuM5/umyFlaO/fvQc+yqDZhP40uOY4jb7dxPdbG3iLUTMLzKamNtyWVLLcuCtKm3XwqOz0rWvqSCskg6NB4D5h8D2d3i6TH8CyvHrti2EWtd3fmTckjptxtjnU8h+DEbWt1mNoFB6lErcSSD3oNK8D/jq5C8LN+cs8yNMyPj2WrzbjafMJVCGwFSIxOwgjY2n6qu29HvQfc/jjkjC+WsMtuf8AH99j3eyXZoOx5LKt/lQoeqVpPYpPcEUGzUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCghQRoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFBTfjsSmlR5TDbzSxpSHEhSVflB9aCcAAaA0BQRoKE+IJ8GRBL7zAkNLaLrK+hxHUCOpKvgob2D8DQWGKY6ziWN23GY1yuNwatkZEZEq4yTIlPBI11OuHutR+JNBlqDFz8oxy1Xq2Y5cr3Ci3S9ed8nQ3Xkpel+UkKc8tJ7q6UkE69BQZJxAdbU2okBaSkkHR7/YaDQLZgmU4JGwzF+N7zETjFnffRe272t+ZOlRlJUpHlPlWw4HVbJXsFPbtqg2TOXcwYw29PcfxYEnJUQXlWlmespjOSgk+Wl0juElWt6oMhZVXZVmgKvyI6LmYzRmpjklpL/SPMCCe5T1b1v4aoLxSQpJSfQ9qDVWcK4/xv5AnSbdBbex1C4NonT3PMfjB/SVNoedJXtz3U63tXYUGVct864T5jF5at8mzqTHXEZLRU6l5CipanOr3SNhsp0Ngg/dQWbtwye2SW+qExd4kq5LQ48wtLHybDDRIU4FKJeUFp6T06Pvjt2NBg8Xza1Z2xauUMZXa/mk9AmB+5T4zkaYkNugJKC4kdLHuOqUVa3pBHbvQWjnKcS62JvIcSwvIprtyvRxxL7dq0tnS1IE1YWU9cNJ98OAkFKgR60C3WrlCAi2I5Bu+N5HaoePKburbFsLcqfeArs4ylSihDakdSQg9+pXrqg4PyTwXwDecHjR/o0yzCZXID8fIrpBtdpdW883AQhz5MmhnqS0ypIA8hJCSrZSNig4LyF4ZMDvuPzrlalGy5hj+R3G73q3xbN5mIWOcm3occafU40hxMVbTSelxPX0uOHQOqDgHhw8R+a+EbkSWvGLSzJwmdPES9YVEvCrk90NRUvOXeK4UgBtSCFpPoobSfQEB9keM+TcI5gwu28gceX6Pd7JdGg4w+ye6T8ULT6oWk9ik9waDOXlm7SLa+zY50eHOUn8S/IYLzaFb9VICklQ1vt1Cg1A2Hmgj/vjY0Dv1GNOen+FUFMY9zZs9XJ2N6/3OLr/ANaoBxvmkp0OUrClXxPzXJ/lVBKMX5r7dXLNj7eusW9f3zQE4tzT+z5bs/r8MWH+sUE/zV5h/wDvbtvr8MYR6f3+ggnE+YAoFfL0AjfcDGWx2/v1BI5iPMiifL5igJBPp812zof36giMP5g79XM0fuPhjLA0f77QQThnL2ve5qQT92NRx/p0FRWHcrqSP68vSd/DHY2tftqoKRwnlwg/171An01jcTt/joIJwflsH3ucXiP+DkOgn+Y/KxHfm+SD9ox6H/NQR+Y/KPSB9N07Y9T8gwe//RoOI+IHwzeK/kmHJa4/8Y90sTTrXQLf8jsxEL7dwX42nBv8hoOicacQcyYzx9jmO3/ni6C5Wy2sxZhYt8OShbqUgKUHXmfMXs9+pfc/Gg2lPH/I+9r5zvhH2C0W4fxNBA8eciFOvp1yEH7Rarb+goIp465AA97nXJVH/wCG20fyegJ44zze1865SftAt9tH8moJVca5wVA/TtloGtECFbe5+3+xqCLfGWZJSA5zrmSzv19mto/ktBW+jfKvL6DzVmG9EdXk27f5f7GoKbnGGUOJA+m7NkkfFKLcN/vWgl+izJiNHm/OfX1HyeP5LQPoqv57r5szw/kdgj+CNQSniS9FKkq5r5AJV6ESYY1+5GoJRxBdwnp+m3kP8vtkTf8A2agqJ4iuIGlcx8gq7a37fGH8DFBTRw5MSrqXzHyKv7jdGB/AwKCccOv7BVy5yIrtr/ZdsfwNCgpOcKrcWFnl7klIH7FN8SAf8nQF8KBzp3yzyQOnt7t/I3+X3KC4t3D6LdOYnHk3kCV5DqXfJk31S2l6O+lSekbSfiKDoNAoFAoFAoFBADRPf1oI0CgUCgUCgUCgUCgUCg1+/wBwzWLkOPRcex6DOs0t95F7lvzfJdgtBolpbTfSfNKnNJI2NA770GwUFpItVslTY1zk22K9MhBYjSFspU6yFjSwhRG09QAB160GBwHGMmxeNeGsozmZk7twvEq4RHJMdDPsUVxQLcRAR6pbA0FHud0G00GrYNec9uzuQNZ1h8axCDd3o1pXHnpkpnwAElqQdAFtR2oFBHbXxoLyOjNBmkxcp+0nFTAZERtCHPbhN61+aVqJ6PK6OjpAG973QUo11scbOpthVlq3rxNgNT0WZx5J9njIUWy82gDqAUtQCiSe4GtUGTvFis2QRUQr5a4s+O2+1JQ1IaS4lLrSwttYB/ZJUkKB+BANBTsU+9T25ir3YfktbE15iOn2lD3tEdJ02/tP1esd+g9x8aDE4pb7Zj96vuP2bFZ1vjOyPld6c4vqjzZUlSi95ZKyoKSUgqGkpHUNfGgvsolQIttat0+wSLpCuj6La9HZjJdQG3tpUp1JIHlAfWPfsfQ0GFj5DkEfkpHHdswZTGMQsfRN+WwsIZbkF0ttw229aVpCCo6I6R0jXcUGnZFxlg9ktLfKXPeVru0zFobb8y7uuuwoTSI0pUll4xWl9CVIUUgq0SoJ779KDKqZ5CiK49dbv1zyph+dJTebhb0xocdcR9h1TL7zRBKkNny0pDRCiohR2Nig5rkWE5+wi0ccSeT52IRbNeHmcXlzroi4ys1K4LqwzMSoIPS04pW29nrQ139N0HmW6eFXlWVgt1go4ixy2wLRbod5tFivtujrhxo7b6jcIjtxQ4qSmS8U+cVJPSG0oSCDsAPOPB/iay/wS8yRr+YTM7jHkCOi6zrVarmZsNAcI6noq1aIdaJAKFgK7lKv2KqD7TYNm+MckYjas5wy7M3Oy3qMiXDlNH3XG1D/ABEdwQe4IINBnaBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKDTc74zt+d37DshlXq7W+Rht3+Vo6IUkttyiWltqZfT6LbIXvR+KRQbd5DHne0+Sjzuno8zpHV073rfrrfwoLK/8Ay/8AJi/mx7B8oeY10e3dfk9HWnzN9Hvb6Orp/wB1rfagrR7rbJc2VbItxjPTIPR7Sw26lTjHWNp60g7Tsdxv1oLqg1jJ8alZdcDYr/brVNxF6Ilx5pxTqZftzb6FtFJSQkNgJ3vfV1AfCgxE7FeRY9xh3Gx8gPTGPnL8oSoUxlpDXyWtry1w0KQgqPln8ahROyoaJ1QYvmyXylaLfLv+IWzFMhsEe0SGp+PXt1MMS31LQEuKlubbbZS35nWlSD1du4oK1mwK/wB0zzG+X38jn2gM4p8lzcTiyQ7bVvuKQ4lzqHuktnqQlSUjYIO9dqDT4PDHJ+W3K+3/AC/Ln8XTlsJBmW+1T1SpFluLDnlsyLdJWkJZQuOnTifL2VLV3oMNyHlKeOL3HcujXMl+RieRx5CVxW0KhXUXXzGwwtQAS5GijaiFa6Pd2Tug8Ac8YVwpyQL/AJ1i2G2DCMctmVPWvF82ZkvGyXaU6+0tQdhrbWqQs/qnrcbAbR5SB9XRoMD+D68bjfhk5HuHDGfX/wCUeN7rdHGI9wCipu2yAsoTJbA2PJc90qA7DsofHYfa+PIYlsNyoryHmXkBxtxCgpK0kbBBHqCPjQWOQ3+BjNqevNybmLjs9PUmJEdku9zoabaSpZ9fgKDSjz5g3vAWzMVdI32xG5n+IoJU8/YStYQiyZsokb38z7mB/jYoJvp5w0gkWLNjrXpiFy/Q0Ep56xIJKvmznZAIHbD7lv8A6mgI55xNaukYxnex67xC4j+JoIHnrF+opGJZ+dfZh9x7/wCSoIo54xxwbRhnIB167xGeP4W6CB53x/3f6ieQT1b1/UlO/R0Eh57sAJHzD5F7f+yM38ygfT3YjvWAcjED4/NKZ+ZQQHPdkJAHH3I/c6/2pTPzKCp9OlpPdPHnIqh/wVlD+FNBBfOtrR6cb8kK/wB7isn+agDnO3EEjjXkc632+a8gf5qDnnMPjUtHEVkTeJHBXLV26wrSY+MuNto0P2bijpI/doMV4cfHA3zxgb2bOcM5pDCblIhIYtdvcuCEJbI15joCQHO+ykDt270HVjzm0P8AyS8mH8mOL/OoJU87NLI6OIuTjv7cbUP4ViggOd0q308PcodjrvjhH8K6CJ5zI1/Wc5OO/sx8fpKCH06OeqeF+UCP/gKB/C7QTI5weWN/QzyanvrRsaB/G0Ev04zCAU8Icnnf22dkfwv0ETzdOCAscIcmnfw+SWNjv/8Ar0Ey+abokp6eD+SV9WvS3Re3b47kUEWeZb08pSRwbyOkgbHXChgH7t+00BPMd9UnZ4J5FSfsMWF/rNAVzDkYOkcDchq0N/rMAfwyqCYcu5MUFf0D5/sfsei37P76oA5bys71wJnux9ptw3++qCKeVsyUhKxwJnA6jrRetoI+/wDsqgmVyhmo+rwNmav+dW0fyqgq2/knNZlwjQ3+DsshsvuJQuS9LtxbYSTorUEyCrQ9ewJ+wUHQaCNAoFAoFAoFAoFAoFAoFAoFAoFAoFAoMBktwzGFc7AxjGOw7lClz/KvL78zyFQYnlqPmtp0fNV1hCent2UTvtQZ+gUCg13DMTkYizdWH8ovF7Fyusm5IVcng4qKl1QIjtEAaaR3CQfQH1oKN3u2exs9sFptGKwpeKzI0td4uq5vQ/CeQE+QhDOvxgWSoE77aoNily4sCK7NnSWo8eOhTjrzqwhDaANlSlHsAB3JNBJAuNvukFi6W2axKhyW0vMSGXAtt1tQ2lSVDsQR3BFBjrXhuMWbIrxltqsseNeMgEcXOW2nS5XkJKGuv7elJIH3UFeFHv7d6uMifcYr1sdSyIEduOUOsEJPmlxfUQvqOiNAaA+NBWk3qzw3nI8y6w2HWmfaHG3X0pUhreusgnYTvtv0oMJZcFg49cbc/jt0nQbPBjSmk2dpwKiuuPuh0vq6gVlaT19OlaAWrt6aDFXfFcHtUV7Bp+ITrza8+uUtVyYcacmxA442XHVP9ZIaaV5fSAPd6iAB3oKPIsVGOYNl0675ddrRjiLS21H+RIRMy0JQgpW5H8tKlrJ2ghPSenp+w0GwS7Vc75FxybaMsnQWYUhmbJ6GEE3NjylDyXQtO0BRUlZKdKBSB9tBz25iLYeSr5Pe5gvhttpivZDkeMSYHtccwno/ktJZV0dSEJVHcc8tBUSpStjuKDyb4nU8bcgPBjC+Vp3HuC8aWKan5HTgEl23OXBxYZQ4yS2lClESQkeV+M97afjQeE8k4GzOx5FO4dyPju2YlGv8myxLbkItsqT7VO9l/U7bK16cS3IKy49pCi2oe8B06oPaX4MvxfS7HdZfg65qu6EXrHpsi3Y5PffKkvqacUlcErPqUlJLf2p2n4AUH0xoFAoFAoFAoFAoFAoFAoFAoIEAjRFBbwrbb7alaLfBjxUurLiwy0lAUs+qjodyftoLmgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgxeUPZJHx24v4fBgzL2iMtVvYnPKZjuP69xLi0gqSkn1IBNBeW5U9dvjLujTLc1TKDJQyoqbS70jrCSdEp3vRI9KC4oFAoFAoMNmOI4/n2K3bCsqg+22e9xHIM6P1qR5rLielSepJBGwfUHdBLbsLxi1YlDwWDaGW7FAiNQI8Lv0IYaSEoR9vYJH7lBkri1Net8lm2SW40tbK0x3nG/MS24QelRRsdQB0dbG/toMHYsqti70rj64X5iblVstcafcm2Y6mUqbcKkB4JOwlKltr0kKJGqDHjhrjV5ciRdsVh3iXLtxtEqZdE+1yJEIul32dxxzalthathJ7dh9lBsDkK+IvsF2DcIbNkZiutSIRjEurd2jylIcCgEJSAsFPSd9Q7jXcMVerZmeS23KMe+U044iU2I9lvFtcDstoKaHU6pDiehK0OdXSPeBABOqC6td+eTkbuFyLTeFrg21iWbu9GAhyioqQpCXAdeaCnqUnQ0FAigs8yvstu0PXHGcos8NNimtv3xyQyZQahN+/Ia6W1dSHS33SSDrsek0Gv8q3Lmi6YvZbt4dBhsuTPcS9IeyMvhhUJTKlIU35WlFRUUDv8FE0HOsZt2RXvLbxZsvvnIVlzWfGk2qHcTDQ9ZWEqQzLJjJ6PIdSytam23XkhaglSTsgUHHfGNcOHcdu1mZ5bZzuJHmZl5Ll19hW6t502xpIVa5CFgwUqX5IKmx3Wl0dOtmg+eXil4yzHDeR7JPxfj284HeUWlq7DH3LgufPaEUvKNyMlKQl0lKOtRClLSSd0H1h8Ani5tfim4hjOXWc0M5xxpuJkMX6qnFeiJSR/aOAbOvRXUPsoPT9AoFAoFAoFAoFAoFAoFAoFAoNeunIeB2S8wcdvGZWWHdbm8I8OC9OaTIkOn0QhsnqUfyCg2GgUCgUCgUEOpOt9Q/doIeY3/bp/doJS+yPV5A/4woIGVGHrIa/uxQQM2Gn60tkflcFBIbnbk/WuEYfldT/AD0Eou1qPcXOJ/fk/wA9BA3m0J+tdYY/K+n+egkVf7Ek6VeoA/LJR/PQEX+wurS23e4C1KPSlKZKCSfsHegv6BQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQSBpoOl8Np8wpCSvQ2QPQb+zvQT0GIYud7cyaTaXcdW3amojbzN09pQUvPKUoLZ8r66ekBJ6j2PVoelBYwbOzx5itxTY4t5vRZXMuSIrksyJL7ji1OlltbqgAOpRShJUEpGh2AoM3bJbs+3RZz8J+G5IZQ6uM+B5jJUkEoXokdQ3o6JGx60GOs9gxKxXa7uWO22+Hcb0+LjdPISlLsl0oDYedA7klKAnqP8Aa0GEzPMsuxW/wm7bgEy844i1Tp1ymwXEqkMvM+X5EdljsXVudS9dwB0ffQYHHJl2zKbcsZyTLrvFuuK5EzcfOgW9y2svxHepyNDUpwKTJT5auh3oPdSfgaDnmb+Gifnki/Nc/wDLruTYQ3kSsmtllfgspEeAiM4lyI4QnqKW1OdaHEEKHSPtoPmHy9iUvlLH02G18wwGMewm4XdGFs3O3T3JL1nXKDTZFx6CXW1r1vrAS2CCSAdUHFeCeacz8KfKuN8mY04yFJHTcYMech1E+CXClxl5KSehRA2netEJVqg/QxxvyDjPK2CWTkTDp6Jlnv0NuZFdSe/Sod0q+xSTtJHwINAyzA7XmD0d64Xe/wAMxkqSkWy8SISVbPqoMrSFHt2J9KDAK4OxhZBVk2cnp0P9ttwH8bQGuDMTaKlDIM2UVAg9WXXI+v8Ay1A+gvEOrqN9zVXbWjl1y1/11BKeBsLKuo3nNCd7/wBt9z/T0ErnAeEO6C7vmZCe4Ay+5j+PoIf0P+AlzzDOy8nRGvnddNfuefQSJ8PPHad/qnLTv7cuuh1++KCYeHvjoJKA9lej/wC1l0/1igf0PfHHxVlB/Lld0/1igDw98bhPSfnMR9+VXM7/AMvQQX4d+MXFda4+REn1/qouej/l6Cdvw+8ZtJKERr/o/bk1yP8AH0Bzw98Wu68y23k67f7Yrj+noJHPDpxM82tp2yXRaVpKFbv9wOwRo/8Ah6Dia/wYnhqjckWjk6wIye13C1zPa1x03l15mT67QoulTiQdnulYNB2w+HHh5W+rGZauo7PVeZx/jqCb+h04d10/NN06+26TD/G0FRHh74gbUFJxE7SCATcJR/hcoJUeHfhtAUkYYghXc9U2Sr+FygrJ4C4hS2loYVG6EegL7x/06Ck74d+Fnv13j+3r/Kt0/wClQQT4deEkNlkcc2voPqCFn/SoJ0eHnhNsdKeNrNr72if4TQTf0PnCe9/RlYST9sUGgmV4f+E1lSl8YY8orJJJhJOyaCI4A4TB39FuNH497e2f4RQSK8PfBqxpfE2LKG997Y0f81BOzwBwfHADPEuJoAO+1pZ/NoJxwNwmFJV9E+J7SOlO7Sx2H2fVoB4E4RPrxHiB7772aP8Am0F1D4Y4ht0hiZA4wxWO/GWlxl1q0MJW2tJ2FJITsEEetBuVAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFBhMSzTGc6tz92xS6ouESNNkW911CFJCZDCyh1HvAH3VAjfp9lBWkXO7NZFBtcexLftsmO+5IuSX0BMZ1BR0NFs+8rrClkEdh0d/UUE9+uVxtURmRbLFIuzjkphhbLDqEKbbWsJW6SsgEIBKiB3IB1s0GRoMUzieNx8nk5oxZoyL5Mht2+RPSjTzkZtSlobJ+KQpSiPy0GH6zbuUQ01Zr++m92greuHnldtimM4AhryydNuuB9Stge8G+590UGuXi62jkDJIvG/IPG+QRi3c3bpapXSpcNz2B1pbMhUhlWmitStpaWQVBCtjXqGLye74tkPIeF5FJzGzWC4WS+XS1wWH3o8l2/MGN0vx4/SvaFBYQpSdFYLRBA3QeWOesS4dzK43HxUTmbtfMcsLrVkl2u4x51oYa9sdhIYlsLcICUMJ6lOdKAhZGlAEE0Hk7nXwV2kZhZOSrRljFz4vv91TFl5DZAw64tr3EP3JTQICAuU4W+kAoSde8ARQdW/Bfc8Znwtyc54VeWWJtqsmSF+ZjAurZZcZmBZBaSD2Ad6F+78HEEepNB9Z6BQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKCRDTbaShtCUpJJISNdz60Gu4Fx3iXGlpk2TDre7EiS5r9xeS7KdkKXIdV1LUVOqUrufhvQ+AoMja2ckbut2cu82A9bnHmza22GVIdZbDYDgdUSQslzqIIA0CB99BNGt9zZvc24v3px+DIZZbYgFlATGWnq61hYHUrr6k7B7Dp7epoLa02m+iyy7Zk1+E+RJdkhMqIx7KpthxavKQNKOloQUp6we5T1aFBd2O0sY7Y4VlamzJLNvjoYEidIU++4lI11OOK7rUdbKj60GMzqGibZo6/Zb1KMe4Q5CGrRJ8l5RS8kgqPUkKaHqtJOlICho+lBzzM4OBYxlNkXj8CxMSMZu/y5dbdHx/22eoXJS2Q+x0jqZUuQetbqd+6he+1BhnrErxGLvOB577I9G475BbXMZctoMS7REMh9hkoUo70mQ2lSu4Kmz7ujqg5/yDbrbxHx1mfJWEY/PypLt4ci49a2sWXc51oLjyflKOW3VjUdxUfaRpKEAIIBBFB8z/GLEmL5huPNOJZNItFquDUDOMSbuQ8qRIExaXHhFU2no6mX+rqbKuodKjs96D68eC3xJQfFDwVZ8/UWWr7G/pdforfozObA6iB8ErBSsfcrXwoOv5PkgxiC3NNivF18x0NeTa4hkOp3v3ikEaT29aDAo5OK21uDjvNR0K6ek2kAn7xtfcffQW6eWypXT9GOfA/fZhr93roIq5XeB0OLs9V39RakfpaAjlaStQSOKs9GxvarayB/jeoJfpWn+YUDiPPdAE9XsEfX5P1+gpK5cuKf/I3yCfyQI3+sUFQ8r3Tp6hw7nx+72OLv/tFBJ9LN2324Zz/4f+KRPj/ziggOWr0oqCeFM/8Ad+2NCG/ybk0ErXLl9dQVjg/kBOvgtiCCf3zQQ+ly/wDfXB3IB1/+DBH8qoIq5XyUa6eDM8Vs69LeP5VQTjlLKDvXB2b/ALarcP5VQUvpWzAk9PAmcEfaXbaP5VQea878d/PWN8jWDDmPBtmVptd0u7MB66XchYLa3OklvyfxIUR6FboT9vag9Jp5SzpSSr6AMzGvgZlrBP76oIjlDPDrXAGYD8s61/61QTnkvPuopTwJlZA+JuFrG/3zQV0cg52oEnhHI0nQ0FXG29/3JFBS+kTkVXV08EZD7p0Oq7W0dX+XoJ/n/wAi9v6x18GwCf6b27t9369QSHkDkzq6U8FXgjXqb1bgPyfrtBD5+cplWvoMuAGj3N+gfn0FVObcoKB3wtLSdbG79C9fs+tQQGacrEKI4WWCAdBWRRfe/cBoBzLlnoCkcMjqKSSlWRxho/Z2Sf3aCCcx5cUdfQ00nuB3ySP6fE9kUEi8x5kCyEcMRFJ+CjlDI/iqCp86+Yi2lQ4itwX32k5Ojt6a7hj8v7lBPbsm5fkSGUXDiu1Q2VOJDrgyUOFCCe6gkMDZA2dbG/toN9oFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFBg8qypnFGrc69Z7tcflK4x7ahNuiF9TKnVaDrgH1Gk62pZ7AUGcoFAoFBCg1Fuz33M4VlueTC5YxPtF0XNVCttzC25KUFxCEPLSkBxpaClZRoaOgfSg2qQ4tlhx1tlTqkJKktp1tZA9Bvts+negwbLDHIODGJleNy7czfrepmfapbiQ8yh1BStlamlEdWiRtKvyGgvwbLiOPp8+S1AtVniJSXpD2kMMNI1ta1H0CR3UT95oMFkeGJvjz2WYhfPkbI5UFmEzd0I9pb9lS8HuksqV5awr3h1fWAWdGgq2DLVrUzBzC2xcavFxnTI9vgOz2nXZzTKjp5vp+t1NhKyn1SDo+lBxzNbD80IP0hWq03DCcYucu7wM3tgebQVtzV+ULwCHPLS4haEOdZJPlLPu77UHl3m3g7jvJpczinBrjeMm+jjAG7Va0SbiuPbmbjAkJflSHJSQtDMtthxCulTYSsO62e4AcB/Bt825J4fOdbDiueF2HiPMEBoRnn2VMtqlBxaI8gFQAXtwLaKx2PUDvtQfa2gUCgUCgUCgUCgUCgUCgUCghQRoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoMBY3s4cyK/N5FCs7VjbdZ+Q3YjzipLrZb/G+0JUkJSQv6vSTseveglxGDm8J29qzO+265IkXR160phxCx7LAIT5bLhKj5jgIUSvtvfp2oNhoFAoFBiI12x/LI92tlsuzUr2N522TxGf0uM/0jrbJSdoWErSftGwaCpHx61tY63i0pkz7eiIIK25yjIL7QR0EOley4SPUq3vZ3QWuRKyCBbYcHDrVGWt15ERa1OpbTAjlJHnpQRpzoIT+L7bHxFBqeSZhiXGlixG5cy3eHNmtvphfONVtDcWPNLKgt5ah1JiJXpSNlQG1BO+9BpPKXFWV4vj2R5jwtcn7xkV+jOMfJORXISbdMedWsx1fqklDSGVvKWEoHvhKEegFB595V5t5QYvLtkj8GswE49G+SuT70m5st2oSbnDZDi220lHtrwSEhHWAQpSEgHqBoPnD4hOCs44cvrtnx6bkl+t2N2ex3OZNn28sSrIqQ0p5tvyypa47YWVDYIT1e6TsCg+y3gO8RC/Eh4erLlN2eSrJLP8A0mvyN+8ZbSRp0/8A6iClf5Sr7KD0TQKBQKBQKBQKBQKBQKBQKCBISCpRAA7kn4UGpO8ucXs5ZBwRXIFgVkdyKkxLU3PbXKdKU9StNpJV2AJ7ig23qA9SKCHWj+3T+7QPMbHqtP7tBKX2R6vIH/GFA9oj6357ev8AfCgl9rij1ktf3YoJVXC3p+tOjj8rqf56CX5Uth7i4xf78n+eglVeLSj690iJ/K+kf56CU32yAbN4gj/nCP56CVWQWFH173AT+WSgf56CUZNjZ3rILadev6rb7f46CQ5Vi49cktY/543/AD0BvKsXdcS01klrWtZCUpTMbJJPoAN0GVoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFBgYePXWNmdwyZ7K579vmQY8RmzLQj2aK62pZU+ggdRWsLSCCdaQNUGeoKTMWNHU4uPHbaU8vzHChIBWvQHUrXqdAdz9lBj8lsa8jtK7Wi83G1qU606JNve8p5PQ4lfSFEH3VdPSoa7pURQZWg0rCYvFd4xy645hjVquNljXSbFuURP6oZTOLxcktuJXv3vMWSQe2z2oOXZYxebbb895RlcZ3qVNt91hsfI97vAftarfBeQsXWEynaWlJaK3AkALK2taJ9Q1q3YZgOYPJuuLXG28k5zKttpuV+gXTqtsC4wpMptxq5SYoR0GQ2yyA0VAqAaSDrdB5a8aVxkXOJarPf71dlX4XqTZru5Fxwi8XSMmcEIeKWUrZfjJiyCllh4grJCx3HcOO/g0ecGuBPFbeOJbtNmJxrM5jljCpkdUZTU5t1QiuOMn9aWru2Un0KwPhQfam4wI91gSLdKLoZktqaWWnVNL6SNHpWghST94IIoNETwPgKVhftGUkga75VcyP3PPoIr4H4/WvrK8m31dXbKbnr9zz6CueEsBMYxVN34tlYX3yO4dWwCPrefvXc9t6oKI4G443sxr6fuOSXLX/AF9BFXBHG6ztcK8qP35Dcf09BTPAPGJ3u3Xk77/7Yrj+noIjgLjAb/pXdu/wOQXD9PQTp4F4wTv+k9yO/tvs8/x1BKngHitJ38gzj+W9Tj/C9QR+gPirt/U9KOjvvd5p/jaCP0BcT9SVfNdzae4PylL/AEtBIPD9xEk7GJq/buMo/wAbQTngLiJWurDmla+2XIP+nQW87w5cK3KHIgTcFjuMSm1NOo9pfHUkjRHZfb1+FByDH/wavhcxHkiDyVi2OXS3yYYdS5bvlFb8OQFoKT1pd6lj12ClY70HZP6Hrhfy/KPHttKBvsesjv2/tqAPDzwmBr6N7OfytE/56CZPh+4WTrXG9l7DQ2zv/PQR/ofuFCkoVxlYFJPqDESaCdPAfCyGwynjHHugDXT7EjWqCccE8NJWHBxjjfUOwPye3/NQU1+H/hBzRc4nxVWjvva2j3/uaCCfD9wclPQniXEwPs+SmfzaCr9A/CnQG/onxMpHoDaGD/o0FRPB/DSEKbTxViYSrWx8kMaOv+LQTfQnw7rR4sxMgf8A5PH/ADaCZHC3D7RUW+LcTSVApURZ442D6g+5QRb4Y4gZ/WuLcTT6+lmj/mUFWNxHxVCeakQ+NcXYdYWHGlt2iOlSFA7CgQjYIIHeg22gUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUGv4rkF/vku+sXvDpdjatlyXDgvPyG3Bco4SkiSgIJKEkqI6Ve97tBsFAoFAoFAoKM1p9+G+zFlGM842pLbwSFeWoggK0ex0e+j9lBa4/GuMKxwId3vAus5iO23JnBlLXtLgSApzoT2T1HZ0Ow3QY2743eZT035EyU2ePMtsiMGmIbZU3McI6JgUe5Unv7p2Fdt+lBr1uhZJx4yu/8h8sxZuK2bHY8aUu4Q2oyjLa/X578jq17417mgkd/WgwGfZc5ieHXiVfbhi17Xeni8zGS+beoY4pxpt1fUkqcdU006VdSANlSQNbFB5ev7104w50zvB+Ic5xqyW3kQ2bH413hTUzJWGvwIKip6ay+QlPWyw4lIKiraQo+lB4H8RXG/NkUQ+UW8ktWUoiZLcUpk2b2aVd40tpfmmTOciNjQcCA6jqUoJSddtGg+0fhX5oic/8AAmH8oMuIMq5wEt3FCTvyprXuPpP2e+kkfcRQdYoFAoFAoFAoFAoFAoFAoFAoFAoFBCglS8ypwspdQXEjZSFDYH26oNT5N5WwviGxsZDnE6RFhSpjNvYUzEdfLkl5YQ03pCToqUQBvQ2fWgcZcpYryzZZt7xQzkt225SbPNZmxFx3o8xhXS60pCh6pJHcbH30G30CgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUGuZzjV9ym2RIOP5pPxl+PcYsx2VCZbcW+y04FOR1BwEBDiR0kjuAe1BT5IuGf2vDLhO4vx62XvJWko9hg3KWYsd0laQrqcAJTpPUR9pAFBcZP893cLnfM42mPlK4Z9i+UOtcJuUU/+E6NLKAd+negy0ZuS7b2mroGlyFMpTI8oENqWU+/0779O96331QWuN43ZMQsULGccgJhWy3tBmNHSpSg2je9AqJJ9fiaC3vl8uVnuUBIs7a7MtD7tzurs1tlu3IbR1JKkq7r6jsbGgkAkmgxbnHPH+RY1drLcLVHvtiyiUbnNYlvKlsSlrKFgjqJHR7iCEp93t2FBgb01fuRcEavnF0VrEsiQ+mHFk5DZOl1iI1LSJDXlH3kocQ0enXYgoV9mg4h4h+PbxyHlEDHncLsbyrZdJuQy8bsygifkUFbYgsSXpKkJbb6TJeU42pSipKQBvuKDwbjXhozjEsFTm3CnPOMRrhPmXLHpVvXPXZE3GPAcIEMx3EJVPeeUelR0E9wnvvYDuX4IrkDLMLyTMfDryPZJdhmXNhvMbJAmMKjlLbmkvBttWilJHlqA16JVQfTyg1W9zeT2rm43juP43Jt46fLdmXR9l49ve2hLCgNH0947+6gxZuPOm+2KYSBv43uUf5LQRVO5z7dONYRrXxvEv1/wagh7bzuVn+p3BQj4f03lk/9noJVS+e+pXTYcCCd9t3SYTr+8UEES+fSsddjwEJ+0XOYSP8AIUBUnn4hPl2jAAf2XVcJv+L8TQQL/P8A1drZx/0/++zd/wDVUEVO8/Enpg8fgfAmVN/g8ugkUvxCE+4zx4O/xcnHt/c0EerxAd+pPHo/404/5qC2amc9yXnWos7jNwtEJWlBmrUg/wC6APb8lBeW8c8idHN3kYAIQdT7R7O1NDha373R1K0Fa9N9t0F9mHMnFWAWpd6zHkCxWuE26thTr0xGg4hPUtGkknqSkbI12HrQaZG8WfDtyn2+32W5XGabrBuFwhSFQHI0Z9mG0HX1B18IT2QpCh9oUCNjZAc0vPj/AMPtuAcd8tOYw5CwzP5k+Ci4zZY82C/HDvQhbLaVBRdU1oe+NdXf0oN0zfO+ZrZjlht3zgxOBlF/sd2mssW5BeWuaywh1hEdLxKFspBUXVrKf2PT60Hnjlnl9zmzgm1ciWHlKdbMoPHL+ST7HZL2tpmPNivxVK81ptW09YL7QSv63WBokAgMjkGQ8l47zdnGWcBQLg/OzvBbDeLWljHlz4a7mha0mM+72RHC21BSldQ0dqPpoh6N8SXGeYc0+Hm6YDbYMBrJ7qxCdbD0otx4kxp1t0r8xIKulKkHRSNn4UFTw/cK3XiKZmU2VOgxoOVXJq5RrDblOLh2xwMhL6m1OaKlPObcXpKRv7fWg6BlsPPJSI3zIvtmtyklXtHylbnJQWNe709DrfT33ve9/dQa2myc+FR6+Q8NCdfscZkb3+3MoJ27Fzr1fjeRsS6dfscYe3v/AAugHH+clAH6TMXSfjrF3SP8cuggvG+clKHTyljSU67/ANSyyd/4XQQGMc4+YFHljHujXdIxVXf9v2qgqx8Z5mRLZclcqWRyOlwKdbRjHSpaN90hXtJ0ddt6P5KDf6BQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKDBTs2xe3ZdbMDm3hlq/XiLImwYRB63mGCkOrHbWk9afU/Ggucnh364WGZCxe9M2i6OoAjTXYokIZV1DZLZICu2xrfxoLm5Wq33q1ybNeoTE+FNZVHkx32wtt5tQ0pKknsUkEgg/bQY7Ebxj90trsXGYq40KzyXbSGTEVHQ2qOegpbSoDaBrQUn3SB2NBLHu/zilZDjhtt4tot/TF9uca8pEjzWQrzIy9+90dWirQ0oEfCg8z3W55zwjiEa9yM8yHPsTtF1skHEHYFyjLuF/kv+bGdiTninpUz7Q42oq6tjo/3J2HlXxR4LFtlwvqLV4ZrJAtuG4vb3r0/fbypampD04SZLFoK1guqWuQpoyEge92B7BJDz074i2uNfGFxnyVY7zJl2zGrbaLfMiv31d0EVl5rplxhKUdudHmr36aUnXwoPvDHfalMNyY7iXGnUBaFpOwpJGwR+1QVKBQKBQKBQKBQKBQcp8VOMyct8OvIlpt7zzM/wCbs56E8w4ptxp9tlS0KSpJBB2Nft0HhfDchyPDblwHzdZuK4mJW3KMRfx6DcrNPS+LzkEqKEw03JnSQEF1tSwo+YdnuRrVBskeXO5d4A5Qh2/mXJ75ksvCVXK+Y8v2pn5u3mEOtW1uOFTa3VoWksoUEdKQoJA1QbxwxwnhvIF3m8sYBxq5aMUybipu1vRXYPsyJ13ktnrejoWQCryT0Le7BfUn3j3NBsrfhg5TzTjrw/WbLTarRdOM1IZyMCepxU6CI4YcioU2jRDqEo6tkaAI773QZ+J4JLXccRgYRmGYIl2W05zLzaBCiWpoNtF9xxfsavO8wKZBdWCAkbB1QbzjXhH4SxuFCthsdwu8K1T3bhao12ub8pq2KcBStqMlStNslJ6S19UgAEHQoN8xbizjPB0PN4dx/jtkTIR5b3sFtZYLieoq6VFKR1DqJOj8TQbGp+LHKGlvNNlfZCVKA3+QUGjzueeH4Nym2UciWKXcrfDdnyLfBmIlS0MNja1hhrqWoAdzoHWqDVonip4+vuV4/hmHw7jerjleLvZdZylKGGpUBvY3txQUlSjrQUkdjv4HQc+wbxvROQc94kxa04qxEiclwp8qS49KU47anmPN8uMvpQEF1zyXDrfboPqNGg9UUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUFKUt9uM6uM0HXkoUW2yrpC1Adhv4bPbdBiMJuWUXjFbbc80xxqwXuQyFzba1MEpEZzZ9wOgAL7a7gfGgy64sVyQiWuM0p9tJQh0oBWlJ1sA+oB0N/koLW8WaPe2WGJMiWymPJalAxpC2SpTagpKVFJBUgkDaT2I7HtQXapDCHkR1vtpdcBUhBUApQHqQPU62KDEOzsmGYMWxmwsHHzb1vv3NUoBxMrzAEMJZ1sgo6lFZIA0B332Cs1ZpTeRy745fpzsWREajIti+j2ZlSFKKnU6T1dauoA7URpI0B3oOG8yzLDx9YL1kuWYnFNi47cj3zB0QSIzC7qptbLULyW1/jnfPUVAFAT+OTrukmg88+K/C8m8Udj+Rr1x5cbhOwB7Hk3aFj62m71dXZLAenR+hS+hqO0HmykqKgHAr19aD558qcexeLsMvDPHrTuT4XePLiynb3ZER7tYbshQcKVFIUUENDp6krLavMUDo9gH2L/B+cznmvwrYbkNwlJcutpjmxXIlwFRei6bC1fEFSAhXf8AtqD0Z5jf/nE/u0EPOaHq6j+6FBAvsD1eR/dCge0xx6vt/wB0KCBlRR6yWh/xxQQ9sif+lM/3YoIGdCT6zGB+VwUEvyjbx/4/H/vqf56CZudCeWG2pjC1H0SlwEmgr0FjfbS1frLPsj77jLdwjORVuN660pWkpJGwRvRPqDQcYwzwrcKcQ2zG5Em4XmdbME/GWRGQ3pb8K1uK2kOttK00lYKyAsjY6joig7BdsbsV4tFzs02GhMS8NONTvJJZU8laelW1o0rZT23veqDXrN9FPCeARbPb7paMcxTH20w2A9OAZjJA7N9biid6+BO6DDXzxI8R2O4ptCsjM6Y9Y3sjiIgsLeRNgN6BcYdA8t0lSkpCUqJKlAfGgxGQeIa5M3d3GMK4tvOQ5BbbPDv93tBktRpMOFJdKG0gEqS4/pDi/K2OyNdWyBQaZnviZzPEsqs0KXZIEKzzs5aw24dG5D8FiSgiLOW+lRaaWtZQfIWkq6VAn1FBwi5eI3nM4lbb5k0q7BjA+Y/m5lV8bnRoUWZAM0spjezN6WsBDjCiogdwruRQW2UZHxnbvEBauT8ddlZFFtfJF0gX96HGk3FpFll21tpbhUgKbDLUkqGwfd2r4UFbgPiF/NbZjWB47gbEB/hzku/puORJ9na86AlcgphJIUXXC8iS0k9SQgJG9nsKDeuIvClknC7fF+dch8hY3Zbngcy6R5cuZNLzcq3yWvJiwkLWGktpaQlJA7+8FHv1Ggz/ABxwf4a8JtFlti+d7JMmWHMpWbxZcW7Q4y0zHwoKa+uo+QEuLSEb9D3NB6IVzLxChXlq5TxIK+w3qNv/AOuglPNXDwHUeVMR16b+Wo/59BKrm/hpB6Vcr4iCPh8tR/z6CVXOXC6B1K5YxED7flmP+fQUl8+cINLLbnLuIJUPUG8x9j/pUE0TnfhWfJbhwuV8TffdWltttu7MKUtSjpIACu5J7aoN7oFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoIEhIJUQAPUmgJUlaQpKgQe4IPY0FjJslmkXaLkMm1RXblAadZjS1NAvMtudPmJQr1AV0p2B66FBQxXKLTmVij5FY1SDDklxKPaIzkdwFC1IUFNuAKT7yT6j76DLUHOL9xFjl6Wt/HpseFLh3E3RptxhEuMxdC8l1cxTSu/tHQVIB6gEhzsPSg5LnGc8R494yrFhFwwVK79n2OybHOykOOp8l0I8xi3BQPQlS2g4s60ru2aDkXiM8KMThjAbvm/G3Id8gpxywqtOPW27PxPka1QX3Gm5qVuSBpbrqVuK6nOtXroEgUHzF8KuP3PNOZ7dxxBXfbqmc68uHZ7Vc1xGrjKQNoS68FJ8pjSSpxwAq6EkJGyNB7la8PHGVvscK0TrxkV+MK8lm73m0Xib7RkF5J2LDY2i50lhs+67JX1dISr3geopDMnwm47dX8lw2O75GQvutzsovAyCYbLx1bunq9kYcU7+q53QCT1npBPUoJToENlicMcMh6x8k3fD7o3x9Zwm04XZUypDl85CuKk9KZL4KwfJOiUJOgU7cX0o0KCEjhTjbHJuS47IsOPyuQ742LlfA/NeVjvG9s6D0FaisBb4TshO+p1ff3UCg4lJznwW4zBYz6ZPj3LGcKjOxcex3291y+5tcPqmdcCFEMRerZbbV07HvEa6UkONXTn7hmdjMiy4TxPeMly7LbimXfJkZDkdm0xN7EC0NBThQde6X1p6j3VrZGg2tnh7xec4Zjar/AMVeFBrCLHbYHsMSNdkLEdYUNGRJcmKCpDuiD1FJA9QN0HR8K/A8eIG9rE7kbnC1WDzj5jke3GRNWkk7I9W0D9okUHrbw4fg1+NPD5nFo5L+kXMMmyC0Ic8kzZKWonW4hSFK8lI2eyjoFR/boPX9BGg4F4xIcjMcGsvD0THLnfvn3d0Q5kG3SkRn1QWEKkPrS6tSUo0W2+5Px133qg4FZeZZC+Hsm8K/iUTMa5RxFMWJa2mFOSZGQMq0uC62pkaUspT5bnfXYk9lUFvYOI+UrRHvNuwTje4XW1YDyfebhHsLz7lrTe7HcYvQpMWQrSStla1pAJ6dAjfpQbLmHgzzDkhXDsm1WWHxtCwV25yExLZdv1TZWnlIXEZaWlDiZC23W0urKiEKJKfvoOlf0LXIeTXCz57mHOlzsfIDFs+Qr3ecQhtxGr1bg51obdafDgQ4klWnEBOuo6AoNnPg64KfRdIl1x+43S3XiVFuEq2zLrIXEM1htCESg0FgB4pbR1K+Ovhs0G9Y9w5xZirU9mw4FZYyLrLTPmj2RLntElJ2l5ZXvqWPgo9xQbHaLDZ7Da0WWz22PEgt9XTHaQAgdRJV2+8kk/bs0FhjOCYbhjlwdxPGLbaXLtJVMnLiRktqlPq+s44QNrUftNBk7habXd43sd2tsWcxsK8qSyl1Gx6HSgRugxqMEwdvXl4bY069NW5kf6NBOMKw0LLgxKyhZ7lXsDW/3emgqJxLFUjScZtI/JCb/moJ04xjSe6cetg39kRv+aginG8dSNJsNuA+6K3/ADUE/wAgWIK6hZYHUfj7Mjf8FBOizWdshTdqhpIOwQwkaP7lBeUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUFrdLbDvNtl2i4NeZFmsLjvo6inqbWkpUNjRGwT3Hegtsax204jj9uxewxjHttpjNw4jJcU4W2kJCUp6lEqOgB3JJoMnQWF5ui7RGakN2ubPU7JZj+XEbC1p8xYT5itkAITvqUd9gD6+lBJc7VKuE22ymL5NhNwHy86wx0dExJQpIbd6kk9IKgr3Sk7SO+u1Bjm7ji1hvs3G7PDjovk+O7fXYbDXQuVopbLql66eoqCE7Ud9vsFB5M5h4/5Zzzgn5OsvDmUMcpQ8gazODc1SLelpq8IfCgnzPaerygz+IGh9RKe1BsvijyO6clcfW7il7GLEm+Fm23vK4mRoCrZa2VpX0JLvZLz3tCUpbQ0oqKunY6VGg+KcC6RuLuYbLkLeQyrilmSzJu6Lapy2SWvMUUzIJVpPlrALjZKfd0rt9wfQbLfGLwlxm7aEwc3tjmVXWGYCZ2LRRNg8f2TXeDbknSXZjg7KePYq94npSlJDTJnjJyPPrxa8C8PvhiybJOLbJ+qE2Vxp5Tt/uPUFGVc3WkrLqeray2Ve+rRWSPdoN4h8efhVOcOQn+ThbbNxmt6MLfbjOUw2bND/AGSIrZDrjZX261aClaA2ANUGax78D1l+RyZ915o8TV2nSbzI9sujVrjrUJTx+spxx5fvq+Gyig7/AMdfgtPB9gBbkSsFlZTLQBt2/TlvpKvt8pHS3/0TQZHhvkfH7JxhyryBaeO+P8Tx/BLjd7fZHrXFDCbg1bwoLed0AQkuJKAEknaT39KDuXCuV5dnnFeMZtnNiiWW8363M3F+3xlrWiKHUhaG+pfcqCSnf37oN2oFAoFBhbphuM3rIbRld0tDMi7WEPC2ylk9UbzQA5099e8EgHY+FBkkW63ty1z0QY6ZLoAW8GkhxQHptWtnVBcUCghvVBGgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgtp9yt1qirnXSfHhxmgVLekOpbQkfaVKIAoPPXMXi58KcGC7id45pRInuONOey4hIdmXBflOJX5YMQLICinpUNjYJHxoNDZ8d1/5ntt9t3h98NOaZPEgebBuV1vktmwwYh6SFhbriipKkjuQAFJ+OqDxPJ4C8QvLfGisj5W5YveMcfw567bhuKtTJF5nX13qHQiGFqQX0ladodc7AbWNIG6DWuVvAhZOJOFrmq6u3/KuY2oJv8AcrfbHkG34xbEnrUuc50++6UBQCQoFSiSkEJ2Q9u+AXwpeE/KPD7gnLjPEllu1/uVvCrhKunVN6Zra1NvdKHSUJ99JIAT2BFB7ggWy3WqIiBaoEaFHbT0ttR2ktoQPhpKQAKDSn8M5VcW4pnmZTKVKJQlOPRT0DfYdz31QU04Ry0DtXN7p/8A25EoKV9t3K2L4Tk0+35LJzO+G2Pps8FMCLCPtZQQ2esEDXURvqOgN0HlrL/CE814WcD42snDbdwzC6y7UMvuYEUS4zZkJfuLqlqcAWpZ60gJJ2FUHrFzCM+D6/kvliXb4GyI0JFlhqEZrWkthSkkkJGhs/ZQUPmFyh06POlz39osUD9HQTIwLkxI0rnK7K+/5Et/6KgO4ByM53TznfG/97aLd/nZoKI445IJ97nzIv2rRbR/EUAca8ib97n3JyNegtdsH8noJPox5EI0fEFlf7Vttf8Aq1BFHGGfg7d8QGXK/JAtaf5LQU5XFXID8R2O14hcyZdcQpKHkwbXtBI0Dr2X4etB5yR4GvEOxzVjfJE3xlZVkNqtUpx1+LcWg280hSVAFlA645UNj6zQH2aoPSTPFWYtHa+e84dH2KZtn+aLQT/RXlRc61c65zr+1CbcB/2WglTxPkwUpR50z079ATb+371oIp4myBKSk84Z8rfxLsDY/etBKOIb5vaucOQlfd7TCH8Eagm+iG7dx9NXIWid/wBmxO33f2PQSnh24nXVzRyKdDR1cY43+4xQTL4cluEk8w8ijf8Aa3Vka/cZoJvoed6ek8s8hn7/AJYQD/iaoB4c2NHlXkP49/lzX+hQRTw22F9auT+Q1fcb+sD/ABJFBPB4fYhSkSvpHz9/oWlflv5A4tB0d6I13H2j7KDfxQRoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoIUGtZfybxzgERc7OM7sFhYQNqXcbi0x/9agTQcBzb8JR4U8RgTJ9sy+5ZamB3kHHbU/Laa+9TxSlpI7juV/EUGjXrx4c8X+TjMDivwjXcO5o4EWFeTXdqK7JaPcyTGbCnEsJT7ynFEJG09+42Gv3rLfGRnmWXm15J4isOwfBcXYU5mF/xW0Et2x8a1AjSpJUX5Gj7xSAEEgd1EJoNftvhjwtSUcnc2J5H5DfvijDwrBskvr0ibeXNkiZLaHSlhKgQooI6GW/eWSo9IDqfEXBmP4Vd7/a8Kg2CyZFPaHz2yizRG48HG4qU7TabadAB0J2VOnak93F+8UJAZ68T8Ah4NDiRLFItvE0OUliyWKA2VT88uCldSUpR9dyOpfvEq7vaK1kNj3gth8+jmaHVM2u4c0XKF0ttfrtm44srnxP7FTxSPuU8saHS0mg57nEOz3rjK/4hjOU3O08WSXJDOT5mj8bfOQb44Cj2SCACpxtTnuqWkaIT5bYCATQYj8DRnz83iLNeJLmtbczDr+Xm47vZxtmQnukp+GnWnNj7VUH0OoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFBaXWZ8n2uZP8xpHs0dx7qdJCE9KSdq13127/dQee+K/E5mGWW/iW55dhduiJ5YXOTEj2+S4t+E0y2461IWlY95lbbYJPbpLiB33Qej6BQKBQKCm8+zHbLr7qG0J9VLUEgftmg5Zn/it8OHF/WjN+Z8Vt7yPWOLgh9/8nlNdS/8VBxq6/hHMLumS2/CeH+GuRs8v15bW9bGmrSbdHlNJ+s6l2R0nyh8V9PT99BrFu8Qfjc5dyDJbNjmIcecUWDFWj8s5HeJqruiG9rqUwFNlLSnkJ7rSNpRsBRB7UGh3bj3xBZoHXOSfElyHkNxyZ0tYRiuPKbsDlwYCdOXCalsFUWGCd7V73Rr9msJoLzGfCfwvgVqu2ANOW7KMpt7Cpee8m5GhMuPjTZSFKjxg/1I9oKSelPcoBC1nZSkhs1qxTFYGP4viWIcXIRi6Xyrj3AJCSh7IJKTs369E+8mKgnrSlwE90kgrKEANtVbLpb5GRTpGcRxcnWSjkbkwANR7RFQP9hrOk76FDeu2+gnqV1OkJAVrVZLW3Axm7XnBJEPHbc908a8aoHTKuUodxc7ilW/f7lz8ZsNAla9uEABnbY1lGR5dc4FiyWHKydYLWc5q0NxccipHV8kW3q90PAHZUfq6Ljm1FCQFG83jDRiEKLFtkuLxRbnkxbPaoYUufnVxKupKGxvrcjqWCpSlH8cepaj5YJUGPcOeqzJLymbVc+aLjCIixt+bZuObMvt1rI0FPFI7+i3lDQ6Wk7oNdbYxl/FZlntV7uv0Ym4kZJkYUV3nkm9LV0qhxSnSlMqWOhSkaCgPLRpCVKoK8uff4+TsEW+yt8j2+3E2OwlSVWPjGylGjMmlPuKklsfDuojoRpAUoh5H/Bv5lAwHxy5fjUDInrxj+dqulug3V9sMquEhhaZTbxb7dPWgrI7a98aoPsNQYLLs3xbBIDd0yy7It8V50MocU2tYUsgkDSAT6A0GojxIcKEdQzlkjev7Ekev97oJh4jeGD3TmzZ/JCkn+LoA8RnDJ9MzH+ASv0dBOfENw+Nf1WqO/stss/wNUEh8RPECSoHKJHufW1aJp1/kaCo34guJnUdaMilkf8Awed+hoIf0QfFJOhfLiT91inn+JoCfEDxarQRdrqok6GsfuB/iKCd3nvjZpfQqXfCf9zjdxUP3QxQUv6ILjTfT5+Q7/4MXL9BQTK5947SlKgMmUFDY6cWuZ/iKDReU/G9wvxHaE3jIoGbvtr6uhMbE542R9q3W0IT+2qgx/A/jn4051w93MbZiuYW2Ome9Caa+Q5U1SgjXvqXGaW2knf1eokfH1oOkt894O6QlFqzLZ76OIXMfxFBMrnXDw35jdjzRwb17mI3I9/7zQU189Yk2AVY1nfcbGsPuR/iaCKed8YUjzE4pnmtb180Lhv/AKqgk+nnHT9XCuQj9n9SE/v/AJOgqHnGzAKIwXkBQSnq7YrM7j+4oJVc52pJ0OPORD2B2MVlfH/i0Eq+dLekgDjTkhRPprF5FBKnnSMpXSOKuS/s2cZdA/hoIL51ZQso+iXkxRG+4xtev3eqgmHN/UAUcRclnY33x/X8LgoLq28vuXKUiN9FXIMULUE+bJsyUIGz6k+Z6ftUHQRQRoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFBy/xM2/P73wdlmN8YWh+4ZFfIKrXGSy820WkvkNuu9Tikj3W1LI77J1QaZxLwdO4c5tnTcbxttzCr9i1ujNPKcQXbNOhp8pTCEqUVJaeb6FkI93rQSfXdB6CoMPkeaYfh8Rc/LMptNmjNpKlOz5rcdIA+O1kUHBsw/CG+FPFJLdthciHKri+8mMxCxmC9cnHnlHSW0qbT0FR+A6qDSJHjl5azPNF8c8ReFnIWbs1DNxkzs0mItUOBE0Sl6SEBamgoJJCVFKj8BrvQc2ncv8Ajh5Btc27K5KxjFYl2kuW/CoOJWIzJuTSQkdTjCpZ2iGg76pKglPSCoDRTsMLkHhifz9g4dytztl+X3WyMibyLl8zIXmbHjYAC1RIjCClt2SU9tK2EJ95SdlKaDbbHwtwzCfx6bjvBdlZjIX1cfYfIipTc8hfR2+Wbu6sFxuMnfWlC+wGlKBWpCAHWYFj9jdyJxeaNsziPM5H5DRpluK00N/JNtKthpKEnpPT+tjZO3VdgxMq+RXrNjuOY5xu5Hs7zh+YXH60lp28LbVv5Xuu9lmGgkOdLm1EkKX1LUlIC6Si649NyK12jM47uXyGQ/yXybIQlETH4qE9XsMIK91K0pJDbQ2GwfMc2sgENZItj1tx2zWTCJT+OOSC/gGCPqUmXlE1Kutd8vCl++iMlRDn43udhSgVFCAGbn2t6AMmduWeLbkeUlXJnIbICS02n0sVpA2WiCoJ0jZR1d9urGgy67VaE2zFLrkOHS4tmiLQjjzjJCQl+XJSOpE2ekk/jE93CFkpZB61lTh7BfmyZZkmRXO12fK0jLZPQ1m2Yx+0fHoIHX8l20r2Eu61tXqnZcc94oSAxt9vuAwsDjx4lskW3iG3v+xW62Qm1GfnVxWs9LLSfruMLc2VLJ2+epSiGwSoLbzM9+ezXmM22Ry7dbefk63Ahy0ccWNful1zWkrfUBrfYuqT0p6Wkk0EHWcPlYVcbfHnXRHHD8vy7vd2lrVeOQrsshKmY6knrUytSegqToLG0I6W0lRChcLnk0W9iy2yJZLfnMG3dcdtXSuycZ2Ep0HnToIXMU2n6o+sRoENJJUGoBOPKsNsjx8fut0xO83DzbFYnlH5b5Nu+9m43BR95EBJ9/39JKQCoBAQgh5G5JZyHjvxO5TzS/Jxa/XbjjLMYv2SXazvhhm3NPgxnbUwz38xKOwK9g/i+42dAPs5FlMTojM2I6lxmQ2l1pYPZSVDYP7hFBzDw/8AL1+5ost/yafjMO1Wq33+fZbY+xMU/wDKDcV4tKkjaE9KFLSoAd/qnvQdVoFAoFAoFAoFAoFAoJHWmn21NPNpcQoaUlQBBH3g0FjZccx/G2Xo+O2O32tqQ8qQ83DjIZS46rXUtQQACo6Gye/agyNAoFAoFAoFAoFAoFBDVBGgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCglWtDaStxQSlI2SToAUHNM98TXh94xaW7nXMWKWpSN7ZXcm1vHXwDSCVk/tUHFL/APhJOKXrja7BxLx5n/It3vrimbU1bLI5FYlrSOpXQ9ICAQB3JAIA7mg1J3xY+LzM85vGFWDiXBePIGOwzPyDIMhvKrkxYmukkNyfZylAfI97ygokAgnVBoMiP4teVohZzzn7IUT8r6k4di+JQ27I7Khg6N1nrIU7EhD1AUfMUNDspQTQYlvwn+Hedaor+aSLpl1jsEtuNfs3uEyVKuGV3gL/ANjLQ0VkFvrHQtxIJOilJ+usB2lVhNjy63Q8cxrHbTmFttwetNnTHaFm43tRRpVxnKTpL01SAQnZ2dFKdIC1qCSJFs96xdqwWiFdLliV/nrfajvu9F75NuPquS+vsWbaCApSiAFNpAAS30pWGyxYyDcMinwczgxr3Ah+w5jnTaUogYrDQkE2q0pUOhK09tnv0nSl7V0oAa75dscj4zYYeCTPkL2kvYJx86pTcvIJKFdS75elK2pDAUfMAd33IUoKWUoAbrFiSFTckcGZNonpQRyDyD7rbdvZb2r5JtpPZvoCiCRvy9lSup1XYLaVc2XhjNotuIpRBcP9b/BHNtLnFvubxcwdqbZb35gSrZ2QpXU6pKUhUjR3LFIyRiDmzLuQhou8jckvIDbNqjoBV7BCBJS2tCTpLY2GgetfU4oAhqM+426+23GYcDC5T1glOl3AOPFktyMifSrqN6vBV7yIyVEO6c3vYWvqWpKAGdSpOMfOa5XbOG/ldlpJ5H5D6ehuA2numz2pPfoUOoJCU7KOoKV1OqAAXsVi3RImNZReMPlxbY10Ncd8b6AkSpZ98XCcnvp39mSskMp6lqJcV2DLW23ZFecsvMC35G3IzJ1oN5blzaAYmNRSOr5Mt3V2Duu5J+r+uOdyhFBj7jcsQk4dHhWyBKhcUQpBiQLdDClT85uCln8Wjfvrjqc6ipZO3j1KUQ2CVBcuW7IoWZQbncodtu3Ks6GpFktSFdVowe1K90vLA7FWhouABTqh0I6UAkBhVN4ycduRcudxk4S7NHy9fUDd05BuxPSIkcI0TH6h5fuaSoDoRptKlEJL3dsmTliYsJdnZz2LA81KHSldk40spTovODshyWtA0B2KtaHS0klQYFldifssJTViuN5sV7uLj1gx6UCi68g3dJBVdLgToohJI6glY6OgJUR0htBCCvaZM3LJtxzsM3VppLGd8ixB0xbHHH/9BsYIJ8z0SpSQVBSupXU4UpSHlfl/iE5fzXfMGg8GtMu5HxuFYhZvblR27Oy1IcSLteVb0mQEKcdHV1HqcSCSok0HtPw4cv5Vn3gOs2Y4jbJF8y+BjT9laiRylS3bnFQqOnupQGipCFEk+h3QbnwPDv8AxbxjxpxNbOP74tyLCZZvVwmMoYYiL8tTsl1Z6yVrW8VBISDsq2ToUHc6BQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQQ2B8RQOpP9sP3aCHWj+2H7tBNQKBQKBQKBQKBQKBQKBQKBQKBQKBQY+9ZDYMbhruGQ3yBa4rY2p+ZJQy2kfepZAoOE59+EA8JHHaX03XmO03F+P9ePZkruCwfsJZCkj9tQoOcXz8IDmd+yCyYhwv4WM4vlyydpUizyL8UWqO9HTrqlKSepxDA6h76gkHfY77UGlTeavGvnKsgu95zrA+N8HsribebtjdtcvMq53InXsNu8/Qku9fuFSU9IVsAnR0GjxfDfyjyfb38S5r5mzrIM7uQ9vuMaRkCo1rwmzr2Uuz0sFLbstSASlgEJ33PuJKiGz27gfw52exWdjH+KYszBGZLcaysmIl6/8AJF3b7hXmLHUiAlQK1K91CwCo6bA6g6h7JlEK8XVm336zw8/bt4ayrKkpSbPx1ZunrTAgpVpJf6AD9pI8xzSQhFBhmLBFjWexYtimISX7C++Z+JYnKcKpeVT+oKVf7659ZENKylzpX3Uekkb6EAMm9aWRZr1eLtmMpVmnvoZznMorakz8qlg9CLNZkp7oihZ8oFv12UpJUVrAX1rReE5fChR7Fa4eY2u2k2a0kINn40sik6D8opPQua4gHsO510ghsKUoMKv5AutnZjWi03S9YXkN0V7JDdV/TXky8g7VIkOEfi7a30bKjpCkJGgGwlKw2i5RrsmRfJD+VRbddGI3lZvnLWkQ8YtyR1/JFq6hrzNaBUBtJPWr3yhACmwzbjZcctFo48WLSlJdwLj51RbcuLiT1G73bq30NAkOAObIKupQU6pKUhfWmxz40/JGUZq27f3EhfIvIqgGmrdHSCr5KtxPZvoSdduzYPWrqcUAAt7zeba3b8biWvDXJFpeV08fYCnbb16kJPV8q3HqG246CQ5+M3rfWvqcUlICViHfIVwv1li5wwvLHUe08k8iqbShiwRAnrFtgFfuoUE9kI2fLG3HNrUAQwN3diSouOWqHg8j5te0EYFx6vaJWTTEq6jeLqVbUiKhR838ZsnfWvayhFBnYMF6wv5M/Nzxj5fcQFcicir02xaGB3TabZvYQpIOkpG+jfWrqcUBQXM0YxboGNXe+Ye63ZocnXHOApb3Nu8/RIuEtKt+/wBy4C52aBLjh6yAkLexQcpuea3+DHyZiXnctjWaZq1owMQhfWTard17T5wTskn0/XXO/QigvFXjDbnhUeFaosu3cQwJAiw2WAtVxzmcVfrbQOnHGVuAlSz3fOySGwSoMzJfyWz3+JNfttuuPKF1iFFotHV1WzDbUeynXSnWgAAFrGlOrAQjSE9g1aLKxObit1kt5JPk4K9M3k+U6V8oZxc+roEGEE+8Y5UPLHl9iNNt+71qoJrnc8nXf2WYbFntudRrYV2+3PFKrTxzZFDpMqT0+4qYpsdk7G9dKdNpUpQYu1W2yWzG4TEKxXS9WCfNMyx2eQo/K/IF4HvKuU8q10w0nSwF6SEhKiAkNoITXsXe3P5HNvucRotzcYCeQs6j7DVhijXl2Kzp7kPHq1sAqBV1KBcUhIDFRkXmHLsGP2DC4se6Mx/P49wCTsRbDFSSDf76oEnzSSVJSolQUekbcKlJDzlk1l44a8SVmnZtnGYyrBk1juzGU5G2VIPIc9iSyVW2C0glYihzoaQlsAKSgpSSOpVB6L/B3ybhg2WcycD3zDTiDtrv7WV2mwqeS6YVtuLYU211J7e50JBA9CSPhQewMlxpjJ4SIT12u1vDbgc8y2zVxXD2I0VI7kd/T8lBrC+HLa5rqzvPew12yWSP4FUEFcM2hQ0c3zz9rKJf59ATwxaAEj57Z4eka75RM7/l9+gl+hWya0rM89V+XKpv+ZdBO3wvYGzv515wrsR72VTj6/8AKUD6FscKuo5Nmx+751T9f9bQU18H4qtRUrIc2JI1/tsuI/jqCyu3E3HFghLuV/zLKLfEbIC5MzNJ7Tae/balPgCgtLFx5w7lS3k41nt5u6mNKdEHOZz5b36FQRIOt/fQZM8BYKVdRueYk/8AC65/p6CZXAmBq11TctOv/ay59/8AL0EqvD/x6oaL+Veu/wDbXc/09BEeH/jpKyveTbKek7ym5+n9/oIf0PvG/WF9GSEj4HKLmQf2vPoIK8PPGC3A6uJf1KB33ya5a/c8+gqHgDjAkE228dv/AGhuP6egpI8O3FTalKFrvBK+rfVkVxPr6+r9BTHhu4gCOg4/cVD7VX64E/ul+grp8PPEaUBsY1KKR6A3iaf46gijw9cRNrSsYs8VJOx1XSYr+F2gf0PPDxcLpw8dR9f1fK0f2vM1QVE8AcQIR5Ywtjp9NGS+f9Ogld8PfDT5CncEhqKe4/Gu/n0EqfDvwqk7HH1u396nD/pUFVjgDhuK+iTH4/tiHWlBaFAL2lQOwfrfaKDoA7dqCNAoFAoFAoFAoFAoFAoFBDdBp2acy8S8csKk53yVjVhQgEkT7my0rt9iSrZ/aFBwPIfwl3hphz41iwSVkvIN4nu+zwYONWR98yndb6ELWEIUft0Tqg5hlP4QjxBXq1X2bxj4YBakWe4C0B/KLrt2VcFDtDjRo46n5H2oQo9PfqI0aDmOKc1eLfxEWWDnV08RrGE4PG8xWZLsNhENdmWFlCLdHddCnZM5w/sEdk9SO5JAoJWPCnbb1KyeZkbGS53mDsRdzXHyu5uXJGHWxLJWlcxIIbeuT4HU3G0UoKhsaSSoNhtvGSMI4R8PeNY3GxKZ9JN6tr0SHLt7KRbpCk+0rkk6/VoQz5qSh/q/GqbUnWgmg7LkcGNZn8pcuuTXhu0yJCGM1zZUdTVwvzhOmLDZW090NaUEEtbHvEJJWpS0hcRrZlT93gpttktNsy21QgmxWZwoNo41s6k9JlytHodnrb2Qn19UghAWtQYqS1YZFmjYxAtt4m4TdJqnGIK16vfJ93JBW+8pWlJt40FLWrpSpIHo2AFBshcv7Eq4tRL9aPnxEjCNleYJQkWjArf0BRgwAv3S8EaASO5Vpx3Q6UUFq1EszdjseL2DEJM6y3BxUnGcUmqV7Vksrq6l3u8rV7yYwVpzTndRIJBUUIAWzFwx9EHJsqn5FMl2hyQm35bmKWiJOTSEEpTY7K2k9SY4WS3tv1PUlJUorcAXSp2XXHIYFrh2S0wM1gwPNtFoV0qtHG9oUnpEuYR7jk1SAelA+wpTpAWtQY91OKQcUj2e2Wy6X7G77NX7JBWvd35Mux+vJkrIBRASe5UrSCgDsGwlKw2CzW24QZN/k3PLYrF8YjBGZZexpEDGISQCLPageyVpToFQGwSFq2soQAxF4l+1rxe3xsLdEEvFXH3HTqihy6OpOze7xsFTbLZJcCV7IJCldTqkpSGyQphKslhwM2R8qRwE8hcjeWG2YQQNm3W4q2kKQFFISnYa31K6nVaoISXYybfYLf8ANBxNpfcAwrAddD9zdQrq+U7mTsoaST5hC99OwpfU4pKQFCVb75Hv1/g2DK0qyeY0VZ3yQ6lKYuOQ0Dq+TreFkpSsJPup7hGy44SshJCyuV1tkCzWCHZsTkSLRIlKOEYU4rpmZVPB6lXW5KX7yY6VHziXPuWvaihFBNbGl2uTlF2lZ3GeyNbJ+kHkNKQIlijo7i02wHYStO9ADfST1r6nFJTQY8vWuDbMdyfKcLlsWSLK6OMeNGh+r7xM7lNxnpUe7hJLn4z3WUkuOErPYLiDAzu+5tdbfAyKNI5GnRw1mOXsp6rbhFtI6vky3dfumSR3JPff41zQCEUF7OnYHaMBjW+BaJrHFVukJjW63sJU5cc+uqlbSlHfrdZW5tSlq/XjtSiGgSoL2Zds0iZJAdetNqufL9wg7tlkDnXZ8Fta+ypD6hratDSljSnVJ6G+lAJoNQn3HG7tZLrKl5FOVxw7NDeTZKAflPkO6/UTboCUe97L1Dy9N9lAdCPdC1kMzdbtkib7bLfAs9phZ1Ft3m2WxOKSbPx1ZynpM+b06QqSUAhKR690I0gLWQtYFtssSxQmGYVxyCwXib7Tb4UhY+VeRbwfeM2WSB5cFBHUArSOhKSQEBCVBkEXmWi6ZI4MxjfLkRkM5zniE6hY5FHvC0WsHYLw2B22Qoha+pZQgBh56SibjmPY/hoXdWUGdhGGXBw+z2xsE9eRXtXc+ZtRUlCyVdR0NuKUUBhIUXGJuN36+XjKbg5x47K3mOYqBFz5DuQPQm3wEo99MIL/ABSUt/XHuI7dayGpZ8zytbfE3wpl5w20vX6ba73BxDj1PkoYxmGGGwxLluDuFDZU4UDSegNo2QSQwWA5FZ+LfwgGJXWDld5y1WeQp2JZhlTySLbOyAHz0sRDspCGeltoIT2SNDZV1UH0qoFAoFAoFAoFBwPx6NNveDvlhLiAoDHX1DY3ohSSDQeSr7m2b8DcsWfki54fZGbs9wg4rGk46VqjvGOlpx125tlIWry0qBQQCnsRv7A6vk3LfNuN4C5cLVzpj14Recnxdm2XSEiPcHYUK4PpakIeUGW2dE7U2NdYSSDsaNBheQc68RuNYnzytvnS5yWOI/Jcs14j2uE0u4PSm2nFMST5RbUY4Kk6QEk+YOr0AoM7nfJfMvGXLdm40s+fZBl0rIeN7nd4DcpmO2hNxD48uS+420OhtllSiT6K6E9io6oNBvXif5lwvDfDpmkzKL3ekZritxmZSGWEOIbUhLe7itttvrLbAdUtSEaBCAPvoN95z51vWBYRc5HG3PbuRSscwBGTx33TER7a45IPlS3XikIeQsIU2mM0gHuSSDo0FDnPmLJ7k7Zs1435xnRoqncPi3C3WaVHehpfuFwU1JSpXSopV5SddIUCD3oM9aPEpduMeaeXbfnUq93/ABi2ZdYcftaG5TLjltM+Og6SwelxxHmrGyCpQB9NA0HQvGXlmV4ZgmKXXDcinWqdMzeyWp72WUlgyY0mQG3WipQIG0n62tp9RQZDwl53kub4LkUfMLu9cLvjeW3axvKddQ+Wm2ntst+0ICUyOltSAXAASdgjYNB2+gUCgUCgUCgUCgUCgUCgUCgUCgUCg03lPL81wzG/lPAuMZ+c3Vbnlot0WdHidPYnrW48oAJ7a7Anv6UHjPkTk/8ACy5S66zgHAmK4bEO+hSrjFmyQP8AfuO9G/8AiUHC53DH4UTNpr8nmCzZfk0VSFJZg27OY1njpUQddSI594b127HQI333QWeP+D/xBWjC7fik3wPWW7z3pntOQ365ZZHfuFxZ6uoxmHFk+yoOkgqT1L6d+9tRNB0SNg/jvalKmJ8LVrtjrjibdHcsuRw4irPYBrqt9uAJEZbgADkn3nFfd20F9GxXx0R3pLlu8K8CzuNkW6yOW/J4iE49Z1H9UNwUKKgmY8N9ctfUsk+gA1Qahw5wB41+HbXfmrXwBJuj5u0m64lFuOXw3oOPvPnS5Xkk7kSwgAIcWdA7Otk7Dr8aF4vLE9boeK+FCdDs9oC7kmK7nEQvXm+r3uddH0kLkIB0oNDQJ9ewSkBYw8J8QsW22K2yvARj8xCUKbv7jmWRtvIV+MWmAjr6YAU/0r/F/BIH30F5fXfG/c7pcMih+FOPGuVsjJt+DMqyiC5AxqN0JQt5LBOnpZTsBxXZI0kDXV1BIbF4qFN2jFmvCDMOGRlKuN+gv5zCVNye6dul6fJ1txoEdRa1pRCQfcSE0EqWvHWq3Xm+t+GsR8+yJYhSciRlUD+lVo6/7CtrJ2ljSPRZ3tZ61dWgAFd60eKgzLJY4Xg0bTg+MM+0wMdezWGW5936uoTri7oqk6VpQSfVZK1EkJ0FkLb45J0Dyb94aVP3G/zFPZndo+ZQ2Zd0hp2WrdEcHeJFT2SUp2ojq7hSiqgvpbfjbfu0vIIXhKs8aRZYfsGBQfnVCNvxpJR0GR7PrT0n198kBKdJSACoqCziY74v4zdqx5fhOL+MpcXcsijOZ1EMvJ7qrWn58jp2tkHZLIASdJT9RITQXEJnx8sovl/V4cYCcxyF5MV69Jy+Gn5MtCV+7BtzWiI+kduslRKz1kEhIAZhQ8YyZdphRfB1Ym8YxxkO2uxKzeOWV3HZPtktXTuQoE9QCte8VLJKtEBg4Fq8frFgvqj4frYnM8ukJF+yoZnGEr2IKP6lhJ6SIraUHpRrq6SVLPUo7oM0zb/GJDkWO1xPB9i7WJYm0hyzY+3m7IY9uBP6rlK6NyFpJ6khWtKKlnqVogIx3fH7Gs94lt+HexfPXInEN3LJDmUfraiBX9jw2ygiOhKdhHdWlErV1KoKku3eNJ9zHrDG8KWJMYZjyC8Mf+e7ZROnBQUh+U70beCTtXQoe84epRJAFBr68W/CEux8ivCuE8XTmmVuCNOyVvMGkvw7WF7EGCgpIipCOwWOo9RKztWtBk4WG+NWNc8et7fhkwJrCcVaQu14wjNAlhU9Kur2yU55ZVJcB95IWNBRKz1K0QFGTi/4RNyZlGWo4jwQZxkSFQouQqypK1WS3FWxFhMqR0t9tkr2SpZ6lb0EgLj5l+OCNjNi48sfh3wC24bAcW/drWM2Ut6+OqPUTKkFvrUla9rcHq4TpR6dghcsWD8IKrNbnyHN4U40k3lqIuBiyH8pV7HjkcoCSGWEt6W4ojanCQSAEjpT2IYefxp49rhi6cTHEXH7DN4mpmZjP+eDnt2SgD3mXn0thTTSj7vSjsEe4npG9hnl4t4+Hb8m/N8J8SMGywBBxGF84nTDx1XllCn2mQ1px0jQ6jrSR0p0CrYYF7hvxyuxLfZfou4zVa3p4u2VIdyqSt/KpiQOlU1/yuotBQB8lICCAE/VHTQV18WfhElNZTd27Bxe1luU/qT5wt32SH7VbQodMKE35XQwgJ2OobUVHrOyBoLyFxX44rW9ZLbbOLuF2cdxiOF2nHzfZioybhsn298lvqkPBRJBWdBRKu6jsBhXeC/H3NxiTYLrZ+LXXb9cflDL7mu/TEzMhbBJTEddS2CzGA0jy29AIHSNdSthqV55X5rsmVweTcmyjw0rtOLOJx7HbOMnki32KeEEOKbZbRsv9Ok9ah+LSNJ6dnYeL+UfFFyRcuUIV9j3Sy5LlrUiW/cMkxuTLK7nElNhCrehSkpUyw20CgBpII6lK2VEqoKGd+JzmfPMwxHJzxeuyQcDnQZOL2e0Q5TMK2Jjr6nEoR6LW6QnrcXtXYAa70HuIfhibnpO/CflvUdDtNV3Px1+IoI/92GvGzrwl5dr/wB8V+goII/DBZG5so8I2WqHoNTHD3/wegifwvOYhWh4Pcu7eu5Tux+9qCn/AN18zRewz4PsqUf/AHt31/ajUEv/AHXfkHp6v6DnKdb9fan9f9moB/C6cjKALfg3ykg+h9pf7/vag27if8Jdy7ylyHZMEh+DnJo/yvI8n2hya40hpPSSVqW6wlCUjXcqUBQeks9czfkrGZeG5v4Z1Xmy3DSZcJ3KoiWnkg7AV0kEjfw9KDmNty3jjh7IZ1ug8D4bYr0uEi3zRKzSEp5uJrsw4pfWW29d+gkJI+FBY8gcN5JyDxjaME408O+M4vjLt9g5O8i23aAuNPLLiXUApQlKVJc0Nq77T2FB1RVlyiXiS8HneFfGV2F1XmPWxV+i+yuOb6iot+SQSVd9nZoKkix5PIvByB3wuYy7dPk82sTF3+N5vshT0mP1eRvyynt0+n3UFtFwy8QRa1QfChhbCrNGdh28JvkcexsOAhxprUb3EKBIKR2IPegtY/Hc2LGZgxvCBx03Hjx3YrTfyrG6G2XDtxtI9k7JUe5A7UFaPgt7hW9dnheEzjhi3rmIuKoyLuwloykDSXigQ9dY9Ar1FBcR8Wy6PkSssY8LfHbV6W756rkL217SXNa6y57H1dWu297oMtfofJeassxMy4DwW6MRXQ+wifkHtKW3R6LSFQyEqH2jvQXNjd5hx23i12DhbBrVDaKlNRomRrabBJ2T0ohADfqTQXysg5/0OjjPD/28pf7fvOgkF/8AEOoA/RrhKO/cHKZB7ftQ6CYXrxCE/wDe/wAHA/4SyT/I6CJu/iGKdpwbBAdehyKUf5JQSC6eI0gf1GcfpO+/9P5h/ktBUE/xDEd8Y4/Sft+WZh/k1AYneIhTrYk45x8hrqHmFF2mKUE7763HHfW6Dow3rv60EaBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQQoI0CghQRoFAoFAoFAoFAoFBSVKjJkIiKkNh9xJWhorAWpI9SB6kDY7/fQVaDBvQsuOZxrgxe4KcaTb3GpFuVEJkKmdaSh5L3VoICOpJQU+ujugucgv8THreuZISXniCmNEQ4hL0x3pJSy0FqSFOK0dDYoLW95fb8aw+Rml+h3CNEhxBLkx24q5ElsaBKPKa6lKWN6ITvv6boIZFe7/EssS54jjRvj8mTFSqOuUmIW4zi0hx4lY9UIJV0a2da7Gg07JOP8VncwWPK0WvLGr4tsuPXS2znW4Hkxx7kWWnr6ShSnOoNhPvKTsntQc650wKVnrAN/5pt1vujF3feslkYuCYkOWI0eQRFdKiVhxTbwL6/eCUoSUoGt0HyKuli8PkDhXJ7VAyRm353bsgfkRZ79mmvodhMtJKI0eQFFtHmSOrocUOpTeuojeqDY/wAFhZUy/GxiibigBca33GYlPYgkxF63+0veqD7w+yxv/R2v7gUEfIY/8y3/AHIoI+Sz/wCaR/cigBpoejaR+1QTdKf7UfuUEAhA9EJH7VBHpT6dI/coHSPsFBGgsL+LmbHcRZSBcTEeETq9PO6D0b/42qDy94GJ+BQ/DObRmcyCzk0eVcUcgMXhbaZXykp9zzzKCz1EFJT0lXYo6ddqDnvOvNXIXHN95Kwjha7XJNvtHFtuyHGmktpRDsjTZe82QVKbKv1tppKGl76lK+A6iAyt25l5Wv8Akb2IW7mO04XccbxjGL9BXdnUf09ElvzJi1NeUpUkKI8kIaKSlRGu5FBgeUOeOdsbs/iWVj0y9SomHXS3t2i8i4xWhY0Ox2HFthlaetz3nFeoJ0QPhQbZYuW+SMr5fudvXzPbMaVhWV2+1fNmWoOP3q1ORmj1BgN+Y648txakvIUAno7jQNB7PoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoMe7YLI/e2MketMRy6xY64rE1TSS80ysgrbSv1CSUpJA9dCgyFBhMzyuJhOPSMjm226T2Yy2kKj2yGqVIUXHEoHS2nuQCoE/YAT8KC9uFks14chyLraosxy3vplxFSGErVHeAIDiOoHpWAojY79zQWdmzDG7/eb1j1ouiJFxx15qPc44SoKjuONhxAOwAdoIOxsUGn5rbORkYLPsgul2ulzvN4EZifjoYt8q0wHnh0ugvFSVFhv6x0VL76AJoMzxxj9xx+Pfflix222yZ14kS+uHMckGa2QlKJLxWlPQ6tKR1ISOlOu1BwDlJTNpxO5cwcA8dWflyyXa6TjdLBDgx1OiS42IsmTHcKd9QKHA8khanNgbCQaD58wZ94ueAZZLwDC3OO579gfteT2m8W1q1W642hpZU1dWytsNJmIJLPlI2VeqSTsUFf8FHIt+T+N24ZDasbj2yCjHbi+xFYT7kNJLKBr7yCRv/dGg+1xOu5oLY3S2j1uEYf8sn+eglN3tI9bpEH/AC6f56CHyzZ//wC6w/7+n+eglVfrGg6VeYI/LIR/PQQ+cFh7n5bgdvX9Uo7f46CU5LjifrZBbR+WW3/PQSnKsYHc5Ha/8Mb/AJ6CmcxxFPrlNoH/AD5r86gkVnGFo+vl9kT+W4Mj/SoNTu1o8Pd8yFnLb3EwKbe2Okt3CR7IuQkg+7757nXw36UEt1tnh5vU66XS8t4JMl3qMIVyffdirXMjg7DTqidrQCPqnYoJX4/hzcmWSdJPHy5WONhqzvOOQ1OQED0SwonbYGvROtUFF21+GiTGvER9njp1jIHUv3ZtS4Skz3EnaVvAnTigfQq2aCaVd/DXY7qxm0y78cwrnbIgjMXRyTCQ/HjJGghLpPUlAGxoHXwoMJjfjO8MOYZorAsY5ix+43REdclxTT+oqEIIB3IVpreyNAKJNBvq+XeKG/1zk3FE/lvMf8+gk+mPiP8A+9HEv/5qN+fQSfTRw/3H0qYj29f6dRvz6CB5r4dB19KuI7/+NR/z6CkedeFRv+u1h/b1/p1H/PoJTzxwmBs8t4hrev8AZmP+fQBzzwmrfTy1iJ166vEc/wClQSfT9wf3A5bxI69dXdg/6VBAc/cIK+ryziivyXVk/wClQQ/ogeDwQPpXxbZ9ALm1/PQSteITg559EZnlbGVuuKCEITcGyVKJ0AO/20HQQQQCPQ0EaBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQKBQYy/2d+9w2ose93C1qbksyC9CWlK1pbWFFolSSOhYHSrtvROiPWgydAoFAoFBg8tVlUOyyJWB2q0zb0pxkJauMhcdlaOtIWVLQhSthHUR27kAdhQUhlrnz6GEKxu7EfJfykbqlpJgg+Z0eQV9XUHf2WunXT8aDGoXxrA5QnKjXC3/PyfZ2i9D9u/VTsBtavLUGSrQT1lQ6gkd/U9qDQlco8pY/Psk/KOKbTiWCv2i6T8luLt2bcdsEhkqU35ob0hSHE6UVI2QSQfTZD5VeL+DZscg3UZ9n87Jc8vNsgN2RxNskybVKtC1GSh6HNdd63HUuHSnVDQCigI+IDc/wMWOOyPEJl+RFwlMHFVJcRs9TanpTYCV7A2SGye3bRFB9kFoS4hTa0hSVAgg+hFBox4J4XKis8V4sSVdRJtbJ2ft+rQQPA3CavrcT4odfbaWfzaCqODuGk+nFeKD4/wCxLH5tBD6DOGOoL+inE+oehNnY/NoKjfC3D7Ww3xdiier11aGO/wD0aCb6GeIu/wDWvxTv6/0nj/mUE30OcSdz9GGKd+x/pPH/ADKCKeH+JkghPGOKAH/8mj/mUD6HuJerr+jDE+r138jRvzKCoOJuLEgJHGuKgD0HyPH/ADKCUcRcUBRUOMsU2o7J+Ro3c/3FBH6JOKt7+jPFN73/ALDRvX+4oKyeMeNUpKE8e4yEn1AtMfX/ANFBSncTcWXOK7CuPG2LyY7yShxt20R1JUn7CCig0XGfB34Z8MzT5/4pw9YLXdyw5GWY7JSwtC9dXUwT5RPYaPTsa7UHRRx9gSQAnCbAAPQC2s/m0FQYNhQIIw+yDXp/S9nt/wBGgmRhWHNnaMTsySfXUBof6NBOnEcUbO28YtKTrXaE0P8ARoJk4pi6RpON2sA/ZDb/AJqCf5t46B0iw27X2eyt/wA1BMjHrA1+t2O3o3/axkD/ADUE4stnSdptMMH7mEfzUE6bVa0/VtsUfkZT/NQR+TreDsQY+/8A9JP81BMIEEaIhsDXp+LFBXoFAoFAoFAoFAoFAoFAoFBD8lAG/jQRoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoMHbsoTccpu2MCxXiObS1HdM+REKIcrzQo9LDu/wAYpPT7w122KDOUGFxvIn8hFz8/Hbrafk+4PQUfKDSUe1Jb1+Pa6VHbSt+6TonR7Cgo4xYL9a7ZPt+T5Y9kC5U2S8y+uMiMtiM4oluP+L0D5aT0hfZR0Ce9BNbLTbePcOTbLNEuUqHZoq1MsF5yXKeCQVdIW4orcWT2HUruSBQcfy7F8ZvOZnL8oam4UxyDZrTZI94Zvj8K9e3pkKfZgeQkFts631KBJOlJV2oNluNl43ztyPz3gGJ2jNM0xeHOtthnGSY61upKm3YxeI0kFYUkqUk62detB565yveY8D5E/n7eGXlMDLZEs3PDbQU3WDkry7ekvPTHnukW5Dbh8vqRsLSknp2aD5z87YpzlOxK5266/JF5xfhWSLMVQmguXbkTGw+Ya1AhbkRhakt+YfcB6ene6D0/+BCxtTsrlPNnnHVKCLda07B6T3dcPf4kaT+1QfVegUCgUCgUCgUCgUCgUCgUCgUCgUCgUENj7aBQNj7aBsfbQKBugboI0CgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCg1PlbI71iHHWQZTj8mxRp1qhLltvX11xuA0lHda3lNArCAkKPYfCgtrzyHb7Px3Byx/IcfbkXePGatkp59abfKnSUgR0JWAVeW44pIB1vR+2g1bM75yIrJsaxH5yYdZpeQ2KV7H5lvfmvN31kIWXWd6bLCGy52WUrOxr4igzHMFpzW88c3S08Z54/jmU29tE1Em3W+PLfcKNrLQjukI/HaKRsjufX1oOTcrZVyLE4wiZFypaLYxx/aLBFk5rEvVrRLl34vs9LkdEZkqEZ1t/y/XqQorI9E0Hyp5HwXkG24DdeUpGTz2slzS6XXDszt0+B5bkMxkNyo0ZtTaQFlbTCEqUkFI0AdDdB71/AwYwq1eG3IckcZ6Tfcne6F6HvoZZbQP3FFdB7syKJkU23+TjN6i2uZ1g+fJhGUjo+I6AtHf077/aoNWVjnMhVscoWNI16fNk+v+E0BeN8xqVtHKVkQPs+bJP8poJEYvzON+ZyzZj9msX1/KaCX5q80778vWjX3YsP9YoJjinMhA/ru2xP29OLo/zv0BOJcwdI6+YYJVvuRjDYH/XUEBiPMG/e5jha+7GGh/HUEPmdzAU+9zRHB36pxlgfwuGgicN5cII+mhsff82o/wCfQSqwrlxX/ltKP97jcX/OTQSHBeXv/v0d/wD8bh0AYJy30gHneVvfcjHIX81BZ3zjjma42mRCtXiHnW6W6hSWpScagOeWT6HpKe+vy0HAuPvCd4v8b5vYzzM/F/OyaxNQZDCUri+W404sDpIiKCox9D73qN9qD0SePuUyNfT1dgftFit/6KgnHH/JZPv87XrWj9WzW4d/gf1k0D6POSOjX0737q7d/ki2/oKCA465GIUFc8ZDs+hFpto1/kKCKOOc+Ctuc7ZOofYLdbB/J6CJ42zdQIPOmWAk72mFbR/JqCLnGuZOJA+nLL0Ea2UxbaN+n/q3/wD26CJ4yystlJ5uzPqJ2FBq3DX71oJPouyknvzjm/36Rbv9VoIni3IyNHm3OfygwB/JqCRPE+QgKCub89V1fHzII1+TUagrRuLbuw8l1fMOdPhKgoockROlWj6HUcHR+NBvwGgBQRoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoKb5eSy4qOhKnQklCVHQKtdgT8Bug0ufkvJdkxCyTZHH7F8yOZLjRblBtNxSiNDQ4vTj4dfCStttPcgJ6j6AUG8UCgpSYsabHdiTI7b7DyC2404kKQtJGilQPYgj4GgofJFq9gatQt0YQ2EpQ1HDSQ22lPZISnWk6+GvT4UHNPJa4Nx12xWu6wLg5dZ6omE4/LUiE2h0tFaYCH9KUrZQ6suL2e5HoBQYK5XJniHlbJM6z7L8Wt1tzi2Mt2uE1bvJuapcKOpbqFyyeh1CUdRR19Ot6/KHlKXzTiEZzC+RrdmHJF15BnYPcWicojqtlimtqL7sdu5nXlpc2laWiwSVFLZ36UHzWy/lDNvo9uWHX21yHcdzS6py2zGbPekOW94OOtOONuKO1qWAW1le9hAPr3oPtV+DTw84d4MuPmVo6XbtHkXdz3dE+e+tSSf+L00Hp5QJ1o60d0E1AoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoMBh+YRsyj3GRGsl6tnybcX7ctF0grirdU0QC62FfXaVvaVjsRQZ+gUGnzGciwz52Zi7c71lTL6W5NvsDDMdCoobbCVMx1Ho6y4raj5i/XsCBQbCGYt2jQ5c22tokoCZLLcltK3IzpTrfx0odRSSk/aN96DzJyDyxk0iBdeE824chcn5C3MTHlWx5LNqYyG2LQXXXra1IWvzywlTSHB1Ab2dj0oPGHiHx7kbm/lPKuM8jhtJx3HmFWTBsStFzYcj41NaQ37Ku6NNrS20l5vzG0OLXpKlJGu2iHgvMpGfSck+ii7S3ybTP+SI9rRIDzMd1Ly0htvpUpPZbix7pIO/jQfo94/slr4s4nx3HZTrUODjFjixXnFdkNpZZSlSj9g90mgxqPEFwq4SlvkiyqIOuz2/81BMefuGgQPpDtJJ+xwn/ADUEo8QPDJJA5BthI9dFf5tBOOe+H1fVzu3nY36Ofm0EF8+cQNp615xDAJ1vy3T/AKNBFPPfES99GbRVa/tWXT/oUETztxQBv52tkfaIj5/0KCA554nJ0MsBP/uUn9HQQPPPFQOvnK6fh2tss/wNUBfPHFqEJcOQSilZ0ki0zDs/tNUEBz1xcfq3yarXftZpx/iaB9PPF/ci9Tzr11ZJ36GginnbjVeui53VW/ssM8/xNByTmf8ACIeHThFS4mSysnl3ANB1ESLj8psr36DrfQ2gf3VBvPH3ik45z/CLJmrULI4Dd6iImIirsM19bSVDYBW00pCuxHdKiPvoM+OeOPSdD5yH/wDa9z/QUEy+dMCQgOeVkygfgnF7kT+55FBT+njBfhBy1X5MTuf6CglTz3gyx1ItmYqH3Yjc/wBBQRTzvhymy6ix5qpIOtjEbl+goJTzziXSpacbzlQT66xC5foaAjnjFnBtGK56f/2hcR/FUFRHN9gWCRhufdjrvic4fxdBD6b7F1BIwrPzs62MTna3/e6CKObLQ4SE4JyB2G++KzBv91FBA82WsJKvo+5COjrQxaVv/wCmgni8zQpSkJTx3yC31u+UC5jb6QD9p36J+/0oOgg7AOiN/bQRoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoMLFu98eyudZX8ZeYtMeGy/Hu5ktlEl5alhbIaHvpKAlJKj2PWNehoM1QKBQKDA5yvNkYrcFccs2d3I/LHsCbwtxMMr6hvzC2CvXTv0+OqDMQ/azEZM8NCT5afODRJR1697p331vet/Cg1C+4xdc7lZLh+c26yTcDuVvZjMMsvvpmuukqL6XinQQn6nSUHq9d0HIpt147z/xBXLii74xnOJ5djdhfgY/f4r8tmNOtrrCfNdadR+JJbUsBPm9SgtOx3FBbc35pHwXF8CxvHOa8estyeQ7Edzq/wAL299qDEQky3EPoR5CHllISrzClJJOgVDVB86uZuIPEFkGcZvyNEynFGPnsl3MnMOiXRQ+cVsiSWvIlNJCvxqHEpDoHWlYIUAkbFByfwH4TL528a2JOZE0JKWrm9ktzCkdlezgvaI+9zoH7dB+gcgHsRQShpsejaf3KCPQgeiR+5QOlI/YigjofZQKBQKBQNUCgaoFAoLG8WGx5DDct1/s0G5RXUlK2JkdDzah9hSoEGgms1ls+O2uNZLBa4ttt8NAajxIrKWmWUf2qEJACR9wFBe0EKCNAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFBaQrra7k7Kj2+4xZLsF3yJSGXkrUw5oHoWAdpVog6Ojoigs4vzr+c87235L+b3szPsPl+Z7Z7RtXm+Zv3OjXR06776t/Cgy9AoIbH20Gq8nZJlWJ4hJvmG4srIrmw6yEW9KilTqFLAWQR8QCT+1QcoyfCJFtvULAOO7Tn+IHkW5ryi8ZVZZCJDNtmshta474fK/LS+E9GkJ6d7160HWMqv2FmbF40v+Tx4V3yyFLYgxPaQ1LlNJb08pn49SUqB2PT1oPMOTW3BPBl4c8xsmTTPpB4yhzI9psuPMW9qTOguPrJfRJdPUl5fmqLu1pTrQGu4oPDvJnimyrI7FCweNarHyhZ8NdblRc5l4yll9Ufzw5EaLqltiOnpS8ypfT09afdBIBoOi/gcMDi3vl3lDl+FaVwrXAjptdtZW/55YMl4ulvzde+UttoBV8d0H1loFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoIb76oI0CgUCgUCgUGIs+I4xj1zu95sdihQJ1/kJlXR9hoIXMeSgIS44R9ZQSANnvoUGXoNayK+ZhbMoxq22PDxdbLc3pDV4uImJaXa0pa6mnPLUNupUodB6TsbB0aDOz4vt0KRC895j2hpbXmsq6XEdQI6kn4KG9g/bQajaeJcat8jEblPm3m73TC4bsO33G4XF1x90OoCHFv6IS8shI95STo71qg2LJ8eh5Zjtyxm4SJseNdIzkV52FJXHfQhadEtuoIUhWj2UDsUGuZtcco4343S5x1hUzM7na0RIcS1quAbekN9aG1LW+7vZSjayTsnpPxNBY82WvkeXgUi+cP2bG5PINsSh6zG+MhbSFFSfObS56tlbfWnqBA2RvtQaNnthznjHi2bfOE+C7PeMvzK8xbjlVlFwCWVOvpQia8lxakhSgE6BGh+y0e4IfMLn3w+8j8UY/ncXj7w457DwG8x0Y4JFzktTZK5jFw9pRM8ppJUGdbbbIAGlEkkmg+g34MLha4cOeFazfL9rcgXvK5T19msvI6XUJc0lhKwe4IaQg6PcFRoPWtAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoFAoIUD0oI0CgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCgUCg//9k=)
И тогда Эратосфен взял чашу, которая называется скафис, и установил длинную иглу абсолютно вертикально. Теперь тень от иглы на дне сосуда давала угол, под которым солнечные лучи наклонены в данный момент времени. Угол в Сиене равен нулю, что же покажет созданный им прибор в Александрии? Есть! 7 градусов 12 минут. (Градус – это 1/360 часть окружности, а минута – 1/60 градуса). 7 градусов 12 минут равно 1/50 окружности – ошибиться невозможно. Легко понять, что этот угол будет составлять 1/50 часть окружности Земли. Что же дальше? Расстояние между Александрией и Сиеной 5000 стадий. Перемножаем на 50, получаем 250 000 стадий. Делим на 3,14 и еще на два (как известно, длина окружности равна 2пR), и получаем, что радиус нашей планеты 39790 стадий. В переводе на наши меры длины – 6287 км. Современные измерения дают длину радиуса 6371 км.
Поразительно! Эратосфен ошибся всего на несколько километров! А ведь в его распоряжении была всего лишь чаша и длинная игла. Ну и, конечно, удивительный ум.
Судя по тому, что солнечные лучи Эратосфен считал параллельными, Солнце он располагал на огромном расстоянии от Земли, и это было совершенно правильно. Солнце – огромный огненный шар, во много раз больше Земли. Диаметр Солнца более чем в 100 раз больше диаметра Земли. Представляете, как далеко расположено Солнце, если мы видим его как небольшой ослепительно яркий кружок на небе?
Древние греки считали, что Земля – это самое главное тело Космоса. Она располагается, как они думали, в самом центре Вселенной. Во всех мифах Земля соизмерима с Небом. Например, у древних греков небо называлось Ураном, а Земля – Геей. И это были великие боги, от брака которых произошли все остальные боги, а от них – все вещи, животные и люди. Небо и Земля – были равноправными создателями бытия. Планеты, Солнце, Луна и все звезды кружились вокруг неподвижной Земли, располагавшейся в центре мироздания…
Но все оказалось устроено не так. У великого математика античности Пифагора был ученик по имени Аристарх. Он высказывал удивительную и, казалось бы, невероятную идею, что не Солнце с планетами кружится вокруг Земли, а, наоборот, Земля и планеты кружатся вокруг центрального светила Солнца.
Солнце – в центре Мира? Это невозможно, отвечали ему. Вокруг Земли кружатся хрустальные сферы. К одной из сфер приделана планета Меркурий, к другой – Венера, к третьей – Марс, к четвертой – Юпитер, к пятой – Сатурн (других планет в те времена не знали, т.к. не вооруженным глазом можно увидеть только их). Свои сферы имеют Солнце и Луна. К последней черной сфере приделаны все неподвижные звезды, образующие созвездия.
Если не считать сферу неподвижных звезд, то получалось ровно семь сфер, а именно число 7 считалось особенно важным в философии у древних греков. Было, например, 7 основных звуков в гамме. Каждому соответствовала небесная сфера. По представлениям древних астрономов все сферы издавали при своем вращении свой звук, и получающаяся мелодия небес, точнее – созвучие, было настолько прекрасным, что человеческое ухо не в силах было даже услышать такую красоту.
Движения звезд на небе, как считалось, определяет судьбу каждого человека. Так возникла псевдонаука астрология, которой доверяют многие несведующие люди и в наше время. Можно сказать, астрология в наше время – это способ очистить от денег кошельки тех, кто плохо учился в школе. Однако в те времена, до самой эпохи Возрождения и начала научно-технической революции, то есть до XV века, даже короли считали астрологию почтенной наукой и астролог, как и шут, были обычными персонажами королевских замков все Средневековье.
Я открываю толстую книгу с названием «Альмагест». Ее автор – самый уважаемый астроном древности – Птолемей. В этой книге собраны и систематизированы все древние знания о Космосе. Перечислены все известные в те времена звезды и планеты. Книга содержит более 600 страниц. Настоящая «Библия» древней астрономии…
Много места в ней уделено объяснению движения планет среди звезд. Дело в том, что траектории движения планет на небе относительно звезд совсем не такие уж простые. Казалось бы, если они приделаны к сфере, которая совершает простое вращение, то и траектории должны быть простыми. Однако, это далеко не так. Планеты уходят в стороны, совершают непонятные виражи и даже иногда идут в обатную сторону! А ведь для астрологов была абсолютно необходимо знать, где в ближайшем будущем будет находиться та или иная планета. Потому, утверждал Птолемей, любая планет не просто так приделана к своей хрустальной небесной сфере, она еще совершает и кругорые движения вокруг «точки прикрепления», которые и заносят ее в стороны и даже назад… Эти дополнительные круги назывались эпициклами…