Abstract:
Ride-hailing platforms such as Uber, Lyft, and DiDi coordinate supply and demand by matching passengers and drivers. The platform has to promptly dispatch drivers when receiving requests, since otherwise passengers may lose patience and abandon the service by switching to alternative transportation methods. However, having less idle drivers results in a possible lengthy pick-up time, which is a waste of system capacity and may cause passengers to cancel the service after they are matched. Due to complex spatial and queueing dynamics, the analysis of the matching decision is challenging. In this paper, we propose a spatial model to approximate the pick-up time based on the number of waiting passengers and idle drivers. We analyze the dynamics of passengers and drivers in a queueing model where the platform can control the matching process by setting a threshold on the expected pick-up time. Applying fluid approximations, we obtain accurate performance evaluations and an elegant optimality condition, based on which we propose a policy that adapts to time-varying demand.
About the Speaker:
Dr. Hailun Zhang is an assistant professor in the School of Data Science (SDS), The Chinese University of Hong Kong, Shenzhen. Before joining CUHKSZ, he is a postdoc fellow in the Department of Industrial Engineering and Decision Analytics at HKUST, where he obtained a Ph.D. degree in July 2018. His research interests lie in dynamic matching in queuing networks, dynamic matching and supply chain management. Before HKUST, he received his bachelor and master's degree in Mathematics department from Peking University. He is from Hubei, China.
Place: Tecent Meeting
Link: https://meeting.tencent.com/s/0OdzYVY9qvZD
ID: 833 753 535
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Your participation is warmly welcomed!
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7a1Wta58o30zPeaKnv6XVW0KgKpqAAR6VkBzFwMmgquSdtBk3D0Cd/DWiLPNLllnGdBx24Vv46EBTDWS/mioc65bXkhwMxTnBJx9plDBmjD54UMc+4Zoem3+TgunkcHo4rS26Zb7Wf4EcOdFM+WujQHf4Ukww6SadutBTm9LXkubWuPQkoJ7YTM3CrVjMuYoVsrMUc/caWMels4QGtc2gr6V5LfufDP2MvVs6Vb6bvK5a16AYSwU50BDYDTV9fCsby7T8G82MrruWrQXUeja2Bq7XMxwmzIzpX2Qy+/IUfHz2kcV2+fQe9gZvpfEwiSciT+czJJx0fZ8Aqy+Ia9GXd0cEkCz/4Q9OXUg2Xav2stTu10USgHsqT/ce+vrTIDB0lYypGjmf+9PVXGUgEO5GsBrRGqdb6HA6bSl9xla8Ok4OFvnpOwvxaiYDfk3DtnaoUOzSJiYDjEwUCPL8cRE6Kc6H1ZWNOJvSbEJTTdxcENruwuMAv6wY9svsSlnu+dpu/vQl2zq/Wum5fW9bcnTqQCHq9ZiAR9OKwa+cuZ1yDsFrrURRH1enZPe3HKRnD0cvBQl89B2e+a0NLMWiKmwr/V4I5/lo1AUsAwoP5jPFRowGfTwQkDp+zoVMf12U96aHlkSDLUikRMBdM5eXHnPTz+KBu1Vrodqci9+7UgUTQ60UDiWBnNOE8Oi2tztQXJ2Rn9DlfPsyj3/u9mQhQgfXYrU1kyqMu5WfofJIhuH20ISD5HoCPN/BEBx8b+KRBXQiieolAeTKO8PRRIff3x7V262s7kAgGEsGuoyxQGLA6ro5Ubaeyv+y8BJCVYJSvwZN3TfrK88v3zM9rIWsOPgOTnZZ1PYkQ+NznhAAfxvnlGI78ORn0usOTb6ezHH6MStBQOA34r9ayLFk35iO7SZJ1DX4xQR7wrlWzHH25hvfu1IFE0Gv5gRPBzgjQOcuJoJ7z4egGWA4658l3byUCxGe3Vm6Czef4nEAIZuVDZr9DQFATwPDgPYGBi/zM90jPOp4amENhXr1EIA62yEdlHZOWY/3R7k4SgHYgERSmHPilo14Yqp8IcNhatey80OLoBB3BubcTAYFIQPJNPgPLpMB9Dn5kQT4SBY8DPu+LAW1ZH+6Z42nAZODLx3qJAFmUQ7nyGvTVqpm2L9cDiSBbs+/XAyeCnVgZsDrr7jgUwcbuiaNyHNdh5cH93joRkAQIaNY36D0RkJCQgTGCOcuH2gQ3c3np5y4PDRioj7hA73sCkwGPF/USgfPhizzyV1bu+7OKeV/bgRNBbwD8jySCnbFWsdGR9rSFqY6JU+ePu3BmHdGWdQgeCvTcU3TGnAh0WlqDy7fezHEtA4K+/NztLupHZsoJnV9AyjIoix/lZb7MQW52V/SiIqsBzriB6nz6kF0aMFC/nCTUk3GKctjKz2RBvxUdpXPcxw50o9hyLY3rMLfMHz0NUFvotRvXyKxNuaaaaOj3dGRi1m4kIHEAC/XI/OmTPzSeaOijoA+yqHfRuZd+6EOsjR1N0PmRrT+WftoTQaNKECw6CIbxW24Al3dqnQYa6bMxoacaKNLT52/TmQwYw6Gzg6sHfYwhh+M6v/fSamTuuUaX3Ccd8xmjIA8Ojyw4Bc6BnjqlycbfpjQ41IvWefDSsehHL4q8bJWrLL8yQWctGOz84fzcB+bqox20GfzlQ2u/mEgPP2RHXuQnUNFTHRkrV2jBCtxMBtC4HjzlT5/8y3yyLsqV+/r7WpnUET2QSb37a729nggEuloLmI1Ugcg7MX0aUEe3RQ7BpeU+0+tMGXB44Ty0JgPmsPPhvMhPUOC45VJ2FugMIGjZDZWHe67lab8BCC93d53Z3/JjrieCTC8Ofq9AvewXl2qJoCw/Qax8rEniyTTqRx9VWvuZkwvj2oB+7GgC4F4+XIsH18hf1oU+EgLYoI87OZhxLXbQcc8pQb/M/OmTP/aGlpet7MLoYWLn2vl7q0UuMEIeZcrf9WC8P8peTwT9IWQtHjq/zoiRCC4NraPbYjAdipZ7ikCXEwH9hxxyyK5EoPPll2VZPta3YkAKLfT0K6f9zvVjQO9ppWe+SYb1/VhQWXEM9HA99OIPmtLnaSbrx3wCBkzEpVoiQA6CnfVpXSPjCA2PPzmA6UNX8eWeIja08sJe8ie4KMxFD1ox026MGxTYGV3QyccAdUW3Sn1goh2RTxnlz7385WVbCLfzh/NyX39fm2ixcVkXEl5/lb2eCNwJqrU4QCMVIHS47DA+Q+nottLTYniNqaENLh3FlnF2BVp4s5bPtuiGY1PkJ3+c3T52O+bp7NB4LQ19Jjeu1YkWXuxq6oKsOAgympjyXOiRlznQEjAEjrqWecGHoiy2yqj80GAzCo5aLuKS51fDB70yL5ODfYyLgYHKeuiAvNrLe9qynvT5joBrK1ggo3LKn3totD1reBJkjMcu5QObvVnFmKDHXrRWZOyv0jAnQcygISDOSt3bBSfJzs967Ib+lV4dxZZxHYtW+XUO6dQHZzF4DMBsAIMEvgYAjqJD+71+HyOgw4kIXOiloz8/3vAnspFNWR1jbXcGMc7y6MysQfAxxl83Rh8cCF38s+UEhzqhNzQUMaE1wbC+vJGJEwD8s/7KCA++cASdAUNfxsd5vkjN/MGEr0DTBw8xcH14oZc2IkBM0gYs4/TT8mfCaalixzW6o6P6yp97xuEvPtyTYLKvmdyQZ2+We++99yl/6AVZ2ADQr7/KXk8ECL03K4bCQBqdtXT0YcOG7doxsqPrWLQ6gTKWEwEOq4P7Ag7woSewsuOxrt/hh0bHf+CBB55yRMcZOZ4yl+Lxr7jZeSLw/xqwjg7PtUXZDTTl9yQkJtDj4MhFgKEvSaalpaXQQUfP+IiJLUFtoLEOvEkuyg8+yJGDG+yhzYHH+wz+8YfFoCJx49jqgC2hZR301F4GKvOhBZcy/pX4lwMJnZULHdVT/tzLXx08UeQ/GW+fcu+t9tBDDy3kAZNsB9brr9IwJ0HUWQ0kwKa6o1ZrMXojFTAEBz46RnZwaLKj61gGk44lHa36EDxUkwBz2N1NNs4xAOFVDmz6kK08h7kUEwbXriNf5nFNRbdMa+Bx6sjPvdChPzpTtBHXyI98BkLGCZ0zPfPc9VifryaLS9YXPCxZfuVmDe0CHToYdOoAbQ4ykix9yEulOIdrxpSFlqRBHwV5SExl+T0lQqf80IiP/LmXv6dB7vUzsFO+an7dX/3ZlsiQZUeO/ioNJwIEAUAE1GkxDEDgAFzvzcoatSpylR3FXVTZcUZoNC7Xyg9N2VHog4ZAY23WsGVMx6UlibBexgda+MPD4hydEXqTKnTZ0bP8yMYayqy+2gL+jKsDunLNOHOU3cQAvcHJNXJBLzbKwTyq9Jk/fdAjv3JAyzWyWJTFxCQt2EgPrdhw7Xz4Sw+tc6DxkUKZ4K880KoDdpCntNX4M48KZrnav6dt5rUn14UC/fCj4UQggIJUBgRn2JsVZ6hV3YmQi4yOU1gIKA3PuI6FQdQDWnU0SOmDBr1MALaM6bi0BhX8pCnzz3NcA3r467Tcs4t5nGaOjyxcM25wqAd9lrIOjCGPCYB7jrr5xGFAgZGJETrnIh86qie65hOEtMxlHXSBJzYQF+WDFjqwUWf4W/I69EGPntJyX8aHddSbcXEHJ+6pFnQEe+ViDHzKFZlyLY+X71mzVs289uRa+Rttn0RiDznpOAAHwFnp/4lnqLxepWsNqvFRkwSAY1E81kKHs2JI+HBP4qDoTAYpfdBgOOhdg5Yib9rMHxmcw3zwsTjHNeAFra0ODz3Oqky+zJOO1kpgmfigZ40cqNqHgDIhwN/kqGzYGF7Kk9fKyYg1ciDlxxXmoH/5NOPLwsxT+ZEp80cecYKGf24qrckPGuaoQyX/RBfmoX+Wp8w//wsz13mmtdqo0bbhRIAAOLs7Lw6u0wJaOUOW76FvpOKctSoO4jhrWwwM5feZEVlMGshPMegMUvqgg2+9RAAtwSo+0Gd8igWSg7sGa2e5xUi5CQhpOSWQtKBBX9dSftbA4dWD4PDlXF5DfKBznfzMzxrQmzQyf3iSBJALfxBP5AFP5hCA0JCMaJWfNfwYFP7OzfwJbpMA+io/MosN9OICb5MByUae0FbCn4SpPOIJP3nbst7uVOdVa3eHVyVa/afRtuFE4I6nw2AIdwWE06mqtdA3UusBgHFZm6Jj5DnuqB65kaW8SzhfR2E+hsVpMQ4OY8sYPGzlLz7wqiSHc1wDnvCn1SFpCSYdwl3Ql5DeQweNO36exzUBTWswoYvyy5+1uTapoA/BjnzusvSBm7Jzr27u9IwZ/IyZFGiVt5L8rI/8ea1K/E0oyKXdWFObKYd2YEy6vsgPX+bkCu9nSkWH/igNJwKE8PiJoQGMAlD294egjfLQQQ00+JmwPH4yRkV29FB+7il5bl8TAfPkw/yMj+tCY79rEKgEQz6dGDgEKOtDw/Gblh2XYHaOtOyEBjlj9hvgeXeEL7xMBlxToRWXAoiEnbiAJTqAlY8fbhJ5juuZfExGyIacrI2MnjqYC0/Xz3apFNw5yJWDlnn6p75g8ueeedpHu8hf+f83tw0nAowkcJWAwgC1KuA3UmvxZizLpmNidJNAdlydrqwHNBTktOxOItAhnVupRVaKaxCABActycAA8ncLDFBaquPe05oA7DN5SO89cw28zN/jNIGpXMiIrNpMubNOZX0JNPrAnaQCX3Qqy4dcymRSqsQ/2zSfGPzyFuPKwNraWhnzfSX+zoWe+VZ1tmUuvlGrQrM3qzo12jacCHQQ2gxqzsy1hKwFYl/GavHOYxofo+aizBqLMdbNzsA9RV257msicC78vWa+8hSMa5wIWKccHPmUQPC4u3NN0JpADLRMz1geh6ZMl+nhSRU3cBGzjAnj6KSOBCh0GTOuDXB4uo6nAvQ0oSmT65Z5mQxYj6q99DvpvVceZKbPceWjdS1ooIcvdFTXsdVu/1vahhNBo0DkgPA5mqO0hvVY7T3G0rjM1Xi0GIwiT+dw77XHwUxXT4e863hcxJF1VlqDEV7IrCzcIxt9fusNZ8pFHej3m4kENM/IOXB85idY7Hddg4ogd4zWRFKtNdBtK9Expj7KanCgh/ZAfv5EOm3GDFoDF148zqCDsiKnFb1zFSfXB39kEENtDZ3+w1r2l/2HgHcMueFTq0oLf30HXxIH5avVmmyg8dSiP1bjn/tr8e6vsac9EaAIoGgwA4F+gf/DH/5Q6MuYxq4EAM7nyyG+1kvRAbnWCKyl81biU+6DPhsTufr6FVq+zkux5dr1aZGZRxZ1ZRwd5E/gcJQ2CeSPtEwCL37xi4tdmwDzOF8rsHOwS2ebx7xmzEA0AEwE4JgDD/nVBT3Q0cJ9/vYgOrlGbpWFFt+g5sRiQvUPqDKmX2T/cW19gfWVTZlqJQGTTfZPfYj56F1vvvhkf5PH6tWrCzGQU7my/H3hrx6Ntk97IsgBhuLZkd3ZeKucgURpdgackeouLRhkU99EywOngjdrWHRq7yu1mSbP1Yg5c+usBHaWF+P6DI4cyERAsytS+eorgcAYO7u7O2/3vWYMHjo8sroesng6gY5KUmDHzQFW6Vp622o01RIB8uWv7sKHHd1gRU7mKqvBSX/GrhL29IEP7y3UjxZcCGpKxpmA9RMR5NCX+L5B9jPm4TP01QvkLCOyyxP+6I48tSq2JvlpX2xCAvd9VeaPLvkxiURZizdj/VWe9kSAIgSbGVED4kxcW6HDmQxMjG4xQDGsjuY8WsHnmkIwZQPIp1IrHc7sDqGs0iOTDmnAMOZcWhwBx6HFOXQMZDJJ0O/OnxMA1/bDFydCf+WhTz7o6jUt69Sq0ORaiZZx9RJ/8WCMpEvAEiR+iiE2zuNeeZFdvOBnBadcoVE28QILdMyBzRxtAh3BBKbOgQcFP1EefaZeImAecpiA4YWeZf9UzkqttASuti4E2vkD/fVbaEh8JAttWYmnfZlPI9fPiESQFUBBwKAFCBNkfT0AACAASURBVEABSJwHwDQkBsQBMFLugwZa5uCU8tIp8lq7c03w6Xw6tMbLfHAw+qnIYUuwEOjIpUxlh0JfHIBq4Gtw27wW1zgo+uNg8Jc3bU4mzq/XglO5MkeMwZfCPTiU+bku4wQnNgITa5ZfHHNf+drAYR3kAj9PiAZznlOWhxMCMkFbyX+QoVbNvLlWDlr41qvZ3lxjE+xLqeQ/u8u/LN+e3j/tiYBgwWkMGHYWgNKhaAloC4FfyQHow+ksJgGCA3BxKIwAHScL1mTtegW5oLW4PnOzc5mUpMstSQQnQA708/hH4JugkE1ZoVNm5GYuiYHEgTMjA8XEhIzgJH/w41re8utLW04C8hCDciJAB9Ym4JCPNdBDuowD18gOVvBD/kqVuVbXz0kTPNyh0R1a7rErY+IoJsw16Wg/5aqVBBjDxsgIb66xEzZBLtfpC67MyfTwo+j/mT8+Ak99phZ/9Wi0fdoTQVmBrDRg42iAj6F1LgMeZ9JBDQru2YkAk7mZH9d7WuCP0XTQanwYx2GgRU4djUDWEXRuHFWjO4bxcRqduCy/Ds36WXdOTvDIDtoXRyrzZ365QuNa2oB7ZBFjW2jRCQygATdwAA9tlLETH1vm5FrGgXsCu1op68M9OPhpA/PUAXlct1pbXqfMH3nqVeZkfPCFSliwlr7BHPgie61alm9P7/c8MvZ0xdI8DAAoGkfDARygmIGZ5k5oNmUeTkPB8SgCzK5okMHLoICGtZxXTKrxA1pkpMjb51HkYYxWfuxQ0tNn0kIvAlwDZ+ehz11cGuVFdgIcHKCjwJMqbqzPmDQ+VphcGOtrLScBHVP9tBP36OkarqncYlAIvPMHyYDCXLHjHtpcGbeiPxW80MH15GOS0f7QZPrsP9oi+09et9I164gz1/BHR9YQm1rYiof2dY6ywJtr79URPV2jkk3sQ6b+KP2SCHB+ioYG0P4qnAQAC4BwNgDAuDpGDmroKDlQuQdkZVLGLJ+fOqgHY9AxB4O4lkbNTo88GMwx18ty+QZduaDRcblGbtZijg4BT/SEv46GHAYi9OoLj2pFh4EHPGnpsxBweV3G0Rl9WM9kmo/90DBGVW8d3Xsxhz/F1rm2yletha5WVYacIFgbnbS5WJN8KPRTTTbS6Ru+0RfrYlKVH/qMttV+8lZ25ORaHMXLcVqxBgv1cWPQ5/QJbEntr9IviUDQy45Zvq8ktIBVa50jIBk4+iyshaFpNSxj+Zp7ZMUxpKVP43HtfOShuB6gYygc3YByLLfFpNIPdiDkYE35Kq+JLsuJjJknxndNWDOuU3Ndqxpg8JMHfdVKXjdfM4f5YK6TZp46OnS8A1Ef9bVljrS0yletZc1alXlZzkp6mZTAPBcxRFZrHqevFraM5QJ/EgMJxbXUNctYxgA88S3tU6blHj3xPRKIyYD+/ioNc9LgCgTogGC/AFdrnVetxVh8Dq/zkRl92QYQAK+TwYO1MRB9VGXRoNXWKRsVOtYmg2cDIQeGyC1GwpD0EfTsDuCAbGW+OAmJCDyy3JxK6JeeNag6ga0OZltNH/sNMOarB30WdEQOZGV91nRnwvG4p7XCh4qu2EJHz45Mn7urOtoy1zm0yletdb1qLfIxlwTFNXqAPziiTxkn5GJMecr+g92ojEsjVpVa1gBDqraDjnXhrb7gk/0W3cUh6wYdemArfQzsuaaVVvwrybQnfQ0nAhZFYYDImRAQAbReAbBaFd6Anb8oIhj5pRE7q8nHNSutr6E1NmsjK0ZkPjrkea6FEcuGw/lwQmloKxV4+9l/di7WQrcst44KL4+PrGEQMx8a8EZOeNeqBhj85EFftQKdOtGiI31WMOATGWkY10HhjxOTICjopr628BFHWvjUqvCsVeWlPJX0IjEgC0la24I5trfwBSUwVU76ua7lm4z5SCAf+OKLFvAQu9yabAlorsGxEtaV+jL+rtNoW9lzd4MrYAEghaAVXK4pjNWqAFerwoM1MDigAWbenQiCcikbh8BRHuVjjk5BH07is6H8kEuD6XCs73OehmVMgyEruztrMp97izixLmMW31HQL71Ba8tarAONOii/fCq1Bhnz5UVfLsiK7sikfmKtjj6jek8rjc6OXcRG/upjyzyxpFW+am1er9o1epk00cGkiwysi34UbCx22kK/UF7paLON8nilaxKNxTXgjcxsIvgRGPLpDn34C3hpE/rAgBZaseWeWg1/12y0bTgR+FVPlDYoaXlBVg7ISsLW2s3kx3fFMbQ7Dw4kMIIO72wM/kQ2RYNzrTwGKn3+HkMOKsbRC94aBCPp5BjG78xnQ2JcnM3C2gY5/QYDa9EvrTTO4/6II44oHECdTTTQqBPy4ay1qgGGzMpKn0Ve3GPDrKNr5v8LYMDJjySQvyKNvND4fXp1tmXe7iQCaGtV8YEv64op+oBz9k99BVnoJ0Fku2f/8f8y1MLWRJF/PyAnFrBFLk6zJkuC3M1F2Wk98WZ8Hc/4axNx1I6Ntg0nAgTgF2pUBAEJHr92yn2tqqNWa5nrL+AQ/BlErimAr5G552jm/wUwYcCH7/dno+k0999//64dHTqOXn4TkHt4YEgDiQx/9913F2ubXLjJnw5kpyKRuRPAD2OyBq3Jjvk4pfP8RRmcLevGfCqyVMOsUr9zaBnPhYDQgQ1gxt1J8/8FYC5r67DICwbOZ5480MEEYMv6u5MI6gWiNmRdbUufONJf9k/8hkSODhRoCVqTAklCn6uVhNTjsMMO25Vw4IfMYid/eFMZg//IkSOLOBFHcMHn9CHm6VsZf/EzIUDXH6XhRKCTImD+zTh3FrJarVoPaJxOGtaAL/c6OyAIGNfurtAauNlxpTcAbUleWX6zMXxMcqzrL9jAR8fB6Dpkfryg3wBAhpwM4AVvHYZf35VWXvD3GkdFNx2AuZ5WuK5WxYlx8ciJQP3FhRaZ1M0TA3PyHws1wUpPCy9/Gct56mSLHOqe7aic5Ra+9Qrymojy83kObtYl+F1b/4R3tpnzxbMsT/k+88GGFvlwn69NkvB3Ljzd4JQH2XNCgV7fy3Ndr9G24USAsBSBy85GnwGFAbgWSEDg2nkenWyhp+rsJhPm0G9AmIiQQ6emT76uDx/mUjId80gkjCu7vJVXmRhXfni4dsG0yo9q/OEDf3kQKPCkZY4JQLYGFnohHxjIgz5ko0+9lZl76KRxHL6sU69Ch4zwlifX4imWtF4zJ+/I3JvwWF8+ylKrZa66cw0+GTOuTTLS2ULPODq6JgGX8ZCGlqIO6FcJT/mAt/4CbV5zJ6tiXWVFBmlIsvDWN5EnJwLp4ON8ZWYt8GI+ff1V9noiEKxs7HwcMisy7o6JowsMYEmP4vCjFRiBADAABkScDsAMZEBjB2MuTkOQYZhcWB96aJXJ+dn4ro3DaKTMp3ytk8JfmdWNe8edh1zubvTlgCJhuRPDD1yQ18SV1+Da6rrZFvBmrXpV+eAlHqwpb8eVn9agL8vPzqgtmS+u8qrUZr75Gly0IeuJk+8EoAVH/SIHNnhwjx0s0KGLJyFlyfJm/8yYwysHrzyRD9nwFWWlZQ3mYI/Mn5Nntj089TFtyDxkwwb09VfZ64kAoXEgFc/K+7kqSqmgLfMMGJ2fMSr08gEIweJaYzo3O20ZOIyi4whubjWSMrEmPKgYt1IQlA3jYwt8cXzkMQDQX/lxDvSg6gweKXUeaOGDE4Ip11TlpE8ZWUdnRV7oGHMOvOBbr2b54QcPMcUuFDFHdq6V32NwWX5xUJZaLbyYT4G/O7Zr5KRjENM6h3kkfmyY9dem8isW2KkL18hk4IOf9LaMiy991RIBvJSLa3Tg3s0GPtknoIGXvgU9RRu6PnPo66+y1xMBWU7HQWkV4cWI9zqXYyrJuHQ+p0NrkDMuUBpCx5A3wUHF+Zibnda5PCPKH1oTDzzkQ8t8wKcyV2PVMwbJRsMz18CFJ4GWnVanMUG5DmtBBzbIQUVWnVWZGTfRKD9rKr99yAy/ehU68FF++Gf8y6crA8skUJZf/GjhpTzVWrGFrziZIH22p19bgB/XVOZIC38wAjfxRwYLJwr9AZtkf0BOavbPLDv9+p/8aMWWaxIX/HNiRR5siEyukeehgzJpwyxDlj+vuyfXez0RaGB3E4RnJxQQlM2ACYjOznzesOdnZoMFhQESGp3fljGMA5BUHQS+0DDPuSYb7+HHtc5QBh8d4Klj1gLel5fZabP8zsURcVzwKCcmMclyZEcET/FBpuyU6KIToTv3VIq412qV34CCtpL8OLpJANt62kNmHV35lUfZuK9WlZfko84kJfFkTWyhH8FHvFjXBIa+yAWtjxH0lRMZ45S+JmLkQ6+MecFgJ77Kr/+bsKEBU20OruLHtUV5xEwM0ZG+/ip7PRHk3QNQdEYU8OMergUBGkAzKHUoaNjtMbgFI2aeXAMOczV2BpV5AgotYBrszEE22yy3suhgtBiozFu5yi1OAq1z1AH5yw6UcfC7CsisA9iKk/KzpvgoF44vJrRizzUFunoVOpMMsumY6EDwi3PBsHS0Vn7wUm5bZCAho1utaiDDA/m1C+u5mSCXcsCXNbKd8SdwFlvm5mSGTm4U4OGp0mRDn/Twz/7pemU7sgbzHKel6mPKLp38bemHp3irj/iBB339VfZ6IlABAKDmHRtn0oAohMOZMQEtA864oGTloWMNeAMSlTUwpsbBIPBmPehYQyA1UPne4Gfca2is8IJvvYLMZbnL9+pGvzKzLrJ6jOXexwBwoWbZ5FGWB5psA+6pFOSvV7ONpC2vQb9JQkdmDbDK9lR+glk/QLZaVXmlARPlBy/fFSATwZXXAzvmMQd/EHflBWuuy0Ub0J/9sxJ/ZMHn8hz5wRtd8R/kgJaWe+jBzCTLHE8hyGoyUmbn/1EnAgNJ0GgFQtCyA+HkOBF0tMzHITPYgAjQ8hZg50BPEUh3A+gE07k8ejgvOyh9VOlMArTyV/5qretmh0VXZJeHMsJDHHAg5UQG5bLFuan18GGuTmQQ0UdBhnpV2dDDa+ZmW+R+9UV2ZGNtKvpkPcTS8Wotc8CfcedzzTrKDo4GrDS0VOcZWLTMozAvX2c95FcQJn3hqX/KG10zHs6Bd8Zc20HPWtoaeufbIhtVmfJayCC2rtVou9dPBBoEwbnmqE+mVkEdB9A8EUhrIPBFipw5uWY+c+Hp8Riw/NILwGh8ADUQoWd911C+ai08qXlnZtfJjzUY1LXykU/dHONbY8iSZdOhpQEHnst9b8HaOJ5HZJMW8hJcjHOtQ4sr91TGpMlOiQzS1GqhgyeB4bfe1EEe3qsv/a7L2o1W/QD5qSQG1kRu9aUt68u6YEfLOPJDQzEIDTzu5aUt8BmvGfNEoO8Q2PoePKEXi2KRiMLPpBd/5KHUwt0xZWIOmIoFPOXjWo20/yOJAAAEDGX47vQdd9yxS26NQwfjVMEzi0pspsZAJgKClDUEiyMoX8ukmAC45k12/vagweWalVqczt0sHzvhh/Nk/iYHEpX9/j8D36Izj3GcCl1yEnEONMiC7llGn7mRw351FkMdR0eCjzQ6In0UaWq1yu83BpmHnAQQNmCuzv9MTAToyv99MIkhP7jz/G8SKMDY+Wjh8dyveKObyRo6+GVMuebrws6Tv5jgx/qy+BvAtXB3THtqwz/aROCxGkXyrnrIIYcUDuo4mRtQKTkLAwhFA0hPcBIo3jOe+fuLGgLHuMFDUsr98q7U4jQmH3eRLA88NRKnHWWHxsDA6ZBNh2Adglr51UFHYdyS+RGA6gCNux3X4qTj6EiMKV+ZvzS1WuQgiZF8lB/skB+dmKvTqy9zXJe1G63aCvmp4MWarK2+tNy7rq1fy824wQN98CHm5SBGdvqcp855QzJhk0jQmQ2AtZ3rNf7CfHmIP3hQoKtX1U8bigU85VMwa/DHkx63h4xUGuCpWVnudXKuBURQ8zhKQaviiMM1OydG15D5ZMEceQkUPPPOzT3guatnOmWFplrVuZHBj9IIbOjhCT8CkiM7+lFwFOcJK/Q5GWjQLI86klAoPmbAy0cj6Bl3bedrB/HTwVhXmqwv/KWp1ULH+sxlTXREdnky95mcCMBcvcVcPwQbioke7Axyxqj6L/rCh+AWYxKB137CUDDc+YMx1nI95YAXBezqFfmLd9ZBPvV49GV8rycCwMSBUEAgBFmHol8FERrH07m45/NW5ggGxvFdgP0GorxpddxyH/1U+MCzVmV9jsUaRFB9A555c10uOIiJTBygQ2fuuWb3KTtL/twenjpNeT0xcVw5uadCL03GX57SVWt9hOGdBTZCTvmRuJinrXLyc91a2PZ1TN9Afip2Y03WVl9a7l03t8xhc1B+xqjgTzArPy2BTjJANjYd5jLPDQfcoNFHTdb0KwtJGxrKQCLY+XKDjEwVfI2ad0eDgBZjUmxzhpaPWRqe5WM+Y1QNyHpea0xloa3njMqhk/tcyVx2ZmWHN+v6/I9TeKw3kTEHOvXg3vnq5BgY4GSuCy/W5vQhdvBCfvgop87IPZUxacCBe6oYS1ethY6js/LRenLRXgaSsjLHdevh25dxfQb5qcjQ10TgXPUm+H0MpQ+9KfiZ9gJD7YB86s7a0qsztOhN68kCfvAiGYCRNhZ/eFLkVdxU+aE9mYO86gNP+VSZulvd/30L263pTyoj0FlZ+xQaIwiqY7QGEdcUlDejcg/QgqkRCcIyD8ZcP4/la9aHTlkAs1ZlfR8JdBQMWEkP5S+U2PkDWnTJz9jKqE5+EpCdLwdV5pd14VoH0al0HO6pmcZ1lVOaWi38cHrkL+uM/Mw1KLLMrlsL276O6fzIT0WOviYC1hB7bC7myEdVZpIsutCS+KRjPvOUAVuAiRtCtg39blzwosBHXuIPT4o0xU2VH9qTOcirHPCUT5Wpu9W91xMBQS4QOpJBXDYM4yqOFtnJAAGD0howgKJzZJAcZ237lcFEQr9gAmi1qjwa3qzPfA0LH6+R290bJ6Nyn+mVgXli4rsPd1utCAbIoMPCB73UXQfRqZSXeyr00igjfeIrXbVWvZmj3PBTZ+Y9kxMBcptoxZY+rtHDDcdHMfV1c0JP6Kngpx3QG6zRnTn26x+MYXfmy0P8WVf8i4saP7SnNvyjTQQ6GLqqFH0Ai3L1KuAJXJkH9/Ix6DU2a/mCrQbOdYfgL29k8d0AE8n+OAJOoENBT3ArtwaE3pOFToeMBwzZJ/YfPDT2HTykqPsMGhr7DBoS+w3aL5416KB4/r7PiWcPOigOOejFsc+gA2O/fZ4bQw58QQza51kxaL9nx+Ah+zylDhnCr1JXr0MH7xO5Dhq8bzy1Do1Bg1PdZ2gM3X+/eGTd2uBb+Bs2bSzabdETW3Zsj+BrEdt7omf7jtixjW9RkhiioIHeyv64dRv22icGD9o39h16QAwe1Hs6AzOTPFiDGfiJIYFkALB5QA/uBJr+xT02AHt9Cjor+Iu7L/aYQ6XoKwQ1POXjfFoTIWNcI59BDg/koeRTAbTMVT/9EzrWsXCt/HlN9XWeOLAu6/dX2esnAg2FwHsjEQhUBg9n6q9SPrWwDsatVrIcXGMw6NEdLHy5ZFIYynFv8JDYb599YzC8h+wbBx1wcOw3eP/Yb9A+8Zyhz44DBu0fBw86OF7ygmExaNCBMWS/58SgoQfGkOcdEoOHDulNBDtb1utNBJXboYOH7EwEvW1vItnvKclkV3IZOiQGDR4U+xyw/66A3rR9c5EAHt/yRGzt2RE7tmyOHiK8p/eXdcBl+46ILVu3x8atO2LLjp7Y0cN9T0RPxP77HRz773tQkQSGDn7yL/wSvODEac5kAH4mUrHEHgQFxUBiFzYIoYOPAeO9AS/+fmToDk4LP+wEDYEOD3ixpvfwsyobdMpiEpA/tJ6ATSTYyBMEepB88kYCPzefvBaBD488VgDRDz/+6BOBQGEsAcdAZHgANuvvaSt/nM+sjkHgj/FdAwegZiNicI+l2ModSaPjdM9/7vOKBDBo0JAYus9+se+B/CNRjqND4oXPeVGRDJ6/33PjhQe9IPYZtG8cfMBz4uBnPS8G7XtADBrKx3ierCq3yk+SqVR7x588/kq/qx08KA48+IB4bMO62LJtc/QEZ4EdT7Y7+Ahta2zfsTm27dga23u2FaPsdblueLz3r1qj1wH7HRiD0ZeTz86XrAad63Iv3uAInYEEjRiCq0FFa3DayiPjb9JwHmP02U9LAlCW3BqI+AAy6nPwMKkoG/ZVDnSAjzs79CYl6Cj4KHyhsxUX5LGPce5NiMXkBn/80ScCDJONBlg4DcXjXiMYGcjZGTA+xsuO5BqZzmvoSRrSM5e/skwfNMi730EHxyCcAIcpWhxiSBy874HxnP0OjtNe9+Y4//RzYslFi+KMt54eK1asiIvmL4wFF86pWRfOuyBq1QUXzo3KtZfvxUsXxuJFF8XmTetj21b+QvPWiB7+fP3W2LKZv9/Px2RP1p5inN+lwLn5h7Tre6HZmRVIRgfuf1D8yYHPLmoObrAweRpAJgrGsDMJn1MDBfsSPASeR3rpctCQDKRjHvT8lWLsQPJmLoUEwD18lcMTCEFnELMG1TV4XKR4KmAt/4o2dHw8rD7M4dpNAVr8QhmgR2cSALSs73q0zDX5cN9fpWFOKq+wgqPijEtj5uNepaCrVQVOhTMP+uCjgeAjcNIDciO1rJeZ2aBmHRyI5071wlHFgUSCXD4KuAswDx7u/kUC2G/fGPonB8XQZx0Yg/ffNwYPHRQ3fv662MY/zMDZV6/mRQMTIzZvjA2rH4rYsql23bo5olbdsjniKbXEb/vW2LJ2TcSOzb110/qIjY/1Xm98LHq2cv14RM/mJ+uWDbF5w9p4fO3qCE4Im5+IHVs2RmzfFjwKHbz/AbHvUN4VPHnMducWb1qCgZZkAYbugvRZ9AfuuYYGWmgyvfgbgNC7c7thcE8ioJAIsCE84EXVptjXBKbc8vf9AzwI7jxfPyWQSQDM0Y/wHeX39KD+rO1cZaGFd3+VJxHdQ44GuQIKlsZgXBqNxj300NSr8IPGknnQBx9AEjyN73fFnbenrfwxvtdkeL+DbyaHP04kHbRkduVyfeVnHgnkec9/YW8y2HffOPD5z4tB+wwq6mvf9Lr49q3fKgKJoC8qAfvQAxEPPxhBYK1fW7tuYPzR2nXD+oin1HURG1JlHeoa1nw8Yt3qiPVreq85EWxaG7Hx0YgNj/TWx9dEbCZZbeytT6yP4FSw6YlY/Yd74yWHvGBXAnBn8+vgYGaAcQ12BIOfqNBHJdm74xJQFAOKcXCnzUEo/tKBPUd57JF/D4RxkrUBLh9lyP3IoZ9X4s8a6OPmZGzAk8La+oNJiTHpTQT5y3OOQQc+/VX+6BNB2XF0An6XAbAarQBNgGNUE5rZ3xdCOJS7ir945DwThXKYKJATx9iyeUdRN2/fERujJ3gnv5Fjd8/m6NmxOR578N6ITRti8113xJ23fDN+9Y9fim//3Sfjts9/Ln5+0w3xkxturFpvu/HG+PENN9Sst994czy13hS333hT/Gxn/e4118RPb7ghbr/++vj5TTfFL+i//ob43jX/ED/+3GfiZ//4xbjtizfE96//XHz385+JH9xwXfz0KzfHf37ja3HHv38z4pEHIjaujx1rHylOJmtXP9j7yLBxQ6x74rHCj2v93X4TKViBnY9qBgfjYgnGFI/b2Mvn9jL+BJmBScIw6KCTN/9kJu/E/MJaThrY3MSinNLjl8jFOL5D8bTBNesoN8Ft0irLz/0999yzS2/mkXxMCIz3R/mjTwQCSKbWGGZvwKKvkQrIZmuuPVoa4DoCYx77TRwaiOTg7ochcRKMiVxbNm0v3qrxCM1T9bbYHtt2bC6ev7c+9kgRRN+89lNxUkd7zHjp9Di5tTlmT5sap7aPijM7R8dZXeMr1jPHjQ/qWd0TKtYzx08I6tnjJlWoE+Kccb31/ElT46zOsXHBkdPi5JFNMaN7Qlww5ch4a/Oooj2tsz3OGNcZb5/YHedOnhBnTxgXp3Z2xOtGNceJTSPic+96Z8SjqyO2bowND94X0cP7hG3x6OPrYks8+e/IwMVf9OE6BxT32NfdVyyxswFBUHHP0VzbmATAnwSifzjHROBmAn9/OxV+rEuFTnn0AdZwYyA5mKCgdy7z8B12/ZwE8BN1hS9yIQM8GNPfPLWwJnydw7Ubij7WaPu0JwKDFOXMygJJH2ByT/EYyLVHKoxXq8Ij1zJtHuO6PO46tDnoMayOgDwaTyeUXhr4wt/E5f32TTuKz+K3beELKATJjtjCcXr71uhZ/UB8YuWKOP3IKfG6kUfEvKmTY/7ECTGztTVmtbXGnDFtcc7wUbF4/NS4eNL0mDWqI85rHh0LuifHwvFTYkZLe8zrnhRnjRwVszrGxQVjJ8Q5Le1xVlNrzOkcH+e2jonZY8bH2SNHx5z27pg3dlKc29QeiyZMjdmtnTF/7MSY0TQ6lk2ZFovGTYwZI0fF3NGdMb+zO+a3d8XCju64oL2jqHPaxvRed3TGnM7OmNnZGW8f2xlv7eqMK887J2LNQ8Wjwo7NjxeJbv2OTbG258nv+YONgSk2ZdtUsg+0BhLjFE9vYk+fvkXAmRAqrUNfrtle+KF2hic2xifpY+1My3rwka64SH7LOHI4x/nZx1wLPcQm0zO/v8rTnggAgAxtls6ZlaynsVAYkAAlJwQAqlUBK9cybR7jujxuIsiAe9Sjz12H6/yoYL/OqB4a0vvg1Ngb/72ft/HMy/9PfPSR+KePfzzOnnZUvHnUqDinvS3mj+2KuS2jYlH76Fg1fnwsbG2NVV1TYu6w1rjg8FGxcuzkuHT8kTG/uSMuahoTq7qnxoLWzri4c0Jc2NIR80Z1xooJR8bijvFx7uFNMWv4qJg9YnTMa+qM5V1T44Lho2Nl97RY3NYdc4e3xYKmjljU0hnzYwVs4QAAIABJREFUR46Ji9u7Yv7w1lg6qjMu65pcXC8bNTaWtIyJJc3tsbi5vbheOqojFpMsRnfEnDEdcU5nR5z/0qPjs+95V28y6NkafBdh7bZN8Vj0BhLY4QdgTys2XJcrY7m6M0LH7uqJDZ4+ruEvBLG2Zh0CEZ+zr5LtoWMtaEkgVGxPzQGr/NAxBxszD54Wk4bzsl7yRx78hk3GJEDLetDAF/5UeLNGf5WnPRGYAADGILGlz7/Ug8IGlcqbiTOo/X3NWqzDTq8xDfL8hlgDa0DmQafMGC3r6D3fzNvy+Nad39CL2LHh8YgnNsWGX/9nzDr+hHjNYUfEmSNHxdJxE2JZZ3fMO2J4LG8fHVeM746FI0fGJU0dcUXHpLi0fXwsOLwl5h/WHMtHjY0Vo7tj4fC2ImiXtHQUgXxJR3csbBkTy8Z0x8pxk2M+u337+Jg/vC1WdU4q2sXNnbFoxJi4vGtKrGwbF1eMnRyzXnhYzHrhS+JdYyfHlROmxyVNY2LJEa2xqmVsrBw5OlYOb4sVI3rrqqb2WN7cHhePao8FrWNiZtuYeGNTU7xx3LhY86tfROzYGpu2bIz1PVvjseh9Uw5WYIOD04pNJVsylis0BhLXFGyVNwsCiUSgXxFE2e8qrWMftF4zP28M2NbkD02m5Z41PCEWgqVTLeN87Jh1RcZMr++QGMq8oYVHf5WGOSksQlHLxmRcGkHkHlpB0LD0aSz6VJ7nQ5+/MbCBCAjO7WsLz1zL8/IY1+wwys16BrwvDJFHHR2zD3p1Z52yftzzrZtNT2ztfUGwcUtse2RtxLr18Yf/+F68dnhLzOycEOc3t8Xi1s64tL0rLmlujUuaR8XKttZYOnJkLB3WVlQTwvvGT493d02NVaO74+KmMUUyuOjwlljVOTEWjhxdBD+8rjzquLhi0rS4+mWvjA8fd2J88Jg/j/dOOSZWdkyMZaO6YsERrcV8eLy3e1osJVm0dsX8Q0fG3BceHh+YdHQseklzrBoxOi5l7IjWor10RGtc2tQWK5rbihPCrJa2OLO1PV7TPCr+65ZvxfbH1sbmzRuLg9Aj6Xf7wULfAXfuK9WyvfAX5lGZB97gT8Vu+gq8eIcAvaeIzKtsd3mSZKgEHi02JtnTam98008TmCd/1rQgh36U6ZEH3pw24A9vEhct9CYGeDFOaxKg7a/ypKR7yFFHR0AqQNDq+AYJ7AWCPmk0oPTQCLIg+KbW+fDC0ACq0au1zCmPKRNtvXFhIStnw/tCEuPojNkR1YM1KOoHrbrTbt7e+5Vc3hFsWbchYsPGiIfXxO++8tV4a0tHzB83JeYMby12+hXN7UWALRvRFJe0tMTy1tZi12bn5gSwtLkjZr7gsDjjoBfEnENHxGXjp8blk6bF+485Pj50/CviC287K7bf/I9xx4c+Gv9x8Yq486Mfj6/OXRi/vPLD8fur/ya+s+zSuP9jfxtr/+Gz8c/nz42PnfiXcdn4KbGoaXQsHNkWV3RPiZVjuuPiUR3xjq4Jsax1TCwb2RaXjGyL5cNbYsWIUbFq5KgiESxvao0lzW3FI8LMzrEx88iXxo9vujm2rX4kYtv22BYRDz/R+78cwAcs9J3dSQTMM4i5xh7cwwustRNr4C/Y0EcGbKNvZJ/QZsxhXFvSwjPbnDX9/RPlVybWZiOBhwUeFE8SjBn8yGZSoHUt+FGgo5AoKMZHcdPgj6c9EaAkCntUQx8UNehMAgSiRgEAxxvUv+50QZdQoyK3b5hxgGry61TVEsG6rduKoNi6bUds5Wu4W3dEzx8ejp9dd3Oc1zkpZo4cE4tHjYtVreNi5cgxsXx4axBkK9ra4pLRrbFoVEcsaG6PC0e0FvXiMd1x2YSpcUnXhLiguS2+sWBJPH79zfGbD38kLpt+dJw3oimWTZoSK6cfFUsmToqvL7kkLpl6VPz9qafHe17+iuKF34XtnfHBE18VP7783dHzb7fEp085NVZNmBLnHTosFoxqj8snHxmnPvu5cc4hh8bClrZY1Nwai5ta4uKRLbG8adTO2psIlnZ1x9lNLTHnqGPju9deF7FhMx8aFL97sOaJJ+0MngaSiUDMGLPSlys7qWN5p5QHY+zQBJE+gw33JIhMBK6HHL7Twv7cs66JAjoKa7Me6+IP+pSnSn0LOv1IXvBAR/1O2j2R37mV2qc9EWRDYjCfuwGMbGogecTLSmCYehXjW8u0gOsYbaVx1qc6blbGQBjdIyH37AAkLAsyKz+GhYakR+v9mh3bYxPJjzW2bN2VCH71hS/FuR0TY05TV1zaObV4D7CqqSOWN42OVW1j4pLRbbG0dVQsHNNV1AVjumJ+e2cQxO846pj40py58fuPfyI++/ZzYuVRL41l06fHPy9eEgsnT44rTjgh5k4YH6cMGxbfvOKdcf28i+LG+Qvigu4J8dYjjohff+xj8YnTTouZbe2x8qij4obzz4/ffvSv46bzZ8WlR700Fk+YEDObm2L51ClxQVtbzG1tjXktzbGgpSWWjmqJZS3U1ljc0hZLxvYmgvO6p8QPrv18xMbtgcJbN2HfJ4/XYLIniYB5BI9+5Dsl+v3IkcDEbthbm+fgtN9Wm2s7/ILAo7IWVTuyjjJ4bYt/4Dfy0S/KQQwNyYF+YoCXniQ15rMO18gLnRVZy3zlvyft054ICAgq4AIgxWM4BkBxjnQah3v6KbT2V2srGTcDWG+cdTCCc1ifojMgOwbTERnDqNLbGvg6kPfr+OOgO3bEhp6txTrB994ffCTu/MrX4u1t3bFwzJRYNqo7Fh3WFhcfPioubRsbq9o7Ysmollja3hYzm0bFkvETg4/vzhnRFB9708nx6498NP71kuVxYde4OLulJWZ1dsaCqVPi+++/Kk4bOTKu+IsTY+a4sUW97FWvjF/+/d/F382cEXOmTI4lx7w0em77Ubx52GExq2tsXHXSa+JDrzspLj3u2Pi3lSviR1ddGe884eUxf1xXnNs8Mma3t8Xstta4oLU5LmppicUtzUUyWLozEfDpwbyxE+LccZPj9uu+GPHY5oj124tPSjas36lzlUcDMTKwaOnLleRhAtGHsAU2oTJGq93ys7q2KQxa5UemwQ88dSALfJElvxNwPca5dl192WXwcXjry/RzTdJS37yWdNkX7ZNnI22/JgKDAUW4BiSLQvNshDHIelQBFUzoOQmQHbMR5FNu5UsrvRnX3RnwPI7B2yIdxoL2kUceKYa4lxcdXMODgvw8Y+p8OINGV1/n0pJoKIxBZyLQiTgF8Lv827ZujB6+lrt9U8TGdXH7zTfF2ePHx/xxE+KCYc3Fi7orWrtj4aFN8Y728bFq3KS4qLktzmxqisUTJ8W81jHx+ZNPi83/cF18YOLRcfHwjuATgAvbx8aiKUfG6w8bFl9/73tjxateFe95wxvjzDEdseTo42LlW06Ot02YEOdMnhLnjB0fH3nL6XHHJz8d57a0x6zWzvjUWefFh056U1z9llNi4bTpsXjaUbH2i1+Oy1728pjdMbZ4HFnSNrb4VGHpsNZ4R3NHLDu0Kd41ekLxEnPVuMnF9xtmTpgW//7JT0Vs2RbbN2+Jjdu3x71r1xa2Bh+w8Vmba09a4FyrEji1qrbB59hQKNqnuKnzg3kUfIL5yKXt8fFasjFWr+iX+CKnYfjrI+hlTMHH9wpc+56jHv++jjecCFjo7rvvDr/SSxbjm19mNsBDaI/80BNwI0aMKIxvMsBg5a9wmjUxXLWaFWUdwfJ3DUwG0Pm+AToNzG+hUfzuOtfIzLhykzzkyzjyDxvG3wZ48iMjjL43EsHsto5Y2t4Vy0a2x7JhrXH5aD4mbI6FLe2xqK0jLn3Zn8UZw46Ir1+0KL6/bFV87PhXxuff8NZY0jI2lozpjrkdXTGjc2y8fsSImDntyJh79NHxyVmz4ltXXhU3Ll4aN7//ffGV918ZX7rinfG5hUviQ6e8LS455uVx+Z+/Ms4Y0RKXvfzE+OGHro5zOzpiwZHTYu74ibFk2vT48VUfjC/PnR+LRo+Ni0a2FS8QP/LS4+OC5/1pvH/c1HhH89hY3twZM//0iDi/ZUzMm/5nve8I1qyNLRueiMe3bo01O3/r76677toV+GCI72S/AOdGalNTU/EHaAtD77SvG0g1v7KfRJ43BuXA3m4C9lVq5VOrhb/ywAMM4C8/vuqcNzDos1+rVyNtw4nAXdWgQWHAM3DIaAS4WY7WLOeLFgyfvzYqGNABSq0KgK4lEADlPwMxIcGTU0cGMO/yPk9Ch4HZnUhqyMBzp0ZHfk8v0Ni/txLBec2tRSLg47ulh7XEe7umxsJhLcF3AuaPao8zWpri68suiS/PnhuXTZ0etyxYFu+Zdlx8d8Xl8Y5jXhazxk2Is8aNi3edekr80weujM8sWxofPvft8e6TT46vXHZZXPOuy2LlmafF3128JK5ZsiSuu3hZ3Lj0kvjHVZfG5a9+TVz5xpPj3K7uOHNMeyx66Utj2dHHxq1XvDtWTj86blm2Kr5y/pw4//CRceHwlljZ1hVzX3RYvI9vKB74guL7DHxfgW87vql5dHz/s18oTgQb1qyN8y+8MAYN7X1f4iaCnbMdwLrRgi/6C2LwcgPgGj+p5VuMGZAe05nnLm7w1pIR/6hV5a+fZv76Z96ksv8if3+VhhMBgS+4ZC2FV0gDC0UBxOc4+gHBBOE9LYGW6eirVgHC9TGMQGV61jF4kZfTicZkPrIim8bmOs/nHjlxDOXSSaRlDfoorGHb6KMBJ4K5w0fF8uaOWM43/EaMjqUtY2LFuInFF3Y+8pY3x1cWLiy+xTevc2zc9u6r4itz58e88RPj/W98Y8w//mXx489cE0vedFJ8dMHceOjWb0XPvXdGz713Rc/v74it990R8dA9EY+vjQ0/vS16fvuf8eA3vhGXvvH18Z5T3hK/+My1sfD442PuMUfFjPHdcc/nrovrZsyKn135objqz14RP7vyA/Hx174h5gxvjsu6JsXi4S1x8YjWuHzMhOILTpwY5o+bFOdOODJuv/FLEWsfiyfWPhbzFy+JZx3y4l04uymAp8GBPbBTrYq/1aqFIdJHbdqGfuye7VzpWlm0N3PkwXWttRmrxDP3yZ8+dIenPsN8i4813Lu+m7A0jbQNJwIWJ/iyAvQhJB+PGDgoCpgkBIxuBmScIKV6UshAMadWBSyBoUUOHAeAOWUYqPCAb7n4GMDubrC7PrKZHJSf+8xX/qzHGpQsj0Z1fRMf8+hDfmi2bqv8jmDe2O64qKmtSAQrmjqKL/RcNKw55o5oib99/Zvi8X/55/jwm94YCydPjVmdY+Ndf/Gq+Mipp8ZHzj4zPjr7vPiruefHx5cvigdv+05su/M30fPAPcVXfXt+9cvo+cP9Eavvjx0P3BMP//xH0XPPHdFz/93Rc/fvo+fB++Oh//j3+PJV74nLTjk5br78srjw6KPjb844My4/7vhYPHZCnH94U/FpxJrrvhDvPua4Qqarph8di45ojsXDW2Nl+/iY09QaM9s64/TO7rjt+hsj1j9efIty9oXzYtDQJz91ER9wxD+8L9trd+/xh1zYLMDcjYB16lVk0m7wYn7Z3/Ma+Ro716qsnfnjO8QOayCrm1zmmR8Tcn8j1/89MhrhFlHstjl7GSg88wmmgVbpOZAEATDQOFf6Sq3iYthsdL9IkhMOQUzSQj5oARngeXfgWqydE5IOSaJSLuXgPs+DltJQItjx1JeFviPgJHDJiPa4tL075hw6vPiewG8++OGYOWZMXHHiK+KLCxbFe086KWZPmRwzjpwcn1q2MN436+y49fpPx/o7fh6xlW8sPhCx9qF46Pu3xpnTj4x5J74inrjzt7Hhd7+O019+TJx67PR4/Fc/i557fl/88ZGe++6KTb/+afz8SzfEX82aEV+/6sr4q1NOiY+/5dR473EnxPJxk+OvTn5TvP81r4kfvPNdcemUI+P8w4bFrD89LJaP7oo5hzcVLzHPH9MVZ3VPiluvuTa2PcAfU9kSF140L4YcfFCxUWAXkq62Al+wxT9Iko1UbGEwEVwW/IB+bVmr1cbY18RuS7DWqrX4Opb5w4uiL9PSR+uajHPN43h/lYYTAQICMMAqqC2ZTeNiWIAkGdBH9R4nIPjKiQKgAKlWNegEkLUJdJyrHLjwKxeze6VAZ13lz0bLCUAjqh/8lYlWLNAVHurIPPq2bOPv/KUTQSkRzGodEwv4/YBmvsXXHpePm1w8j3/5/NnxrWWXxM1zL4pHb/5S9Pzox3H39V+I+ccfF//0offFSRM748Gffi823/fb6Hnk7ojNa6PnwbvjsV/eHutu/1GcMHxYnDVlSqz5yY/j/u/eGidPnhSvHtMe99zyzd4/frL6D9Fz/11F4ui5+474r3/5Spw+cXzcuPTimDdxapxzREts++JX45ef/GTMmzwl/uPyK+JTp74tFnV0FV86mjdiVPDlJr7bwG85njvpyPjutZ+N2PAEXhwXXDi398+y7XzsAz+wKdutbK/yPRjXqpkeW5v8tVEt39K2+IC+BD98zWN5rbUZ6yt//QL+8PbEovzwwpeIN2V3rD/a/x4Zu8kVoQxCMy5JgYJCBrOKegqwNUCgcycGPBOFAVitdW3X9B7+mZ/rIxdyQofszKOFP05Ii0zIYHBnGaVRfp1FWvhrKNq+JoIt2zbGdj4+LCWCBd0TY8afHlGcBEgEC4aPigtHjop7//bvYnZ7e8xu7YiPvvHNceVJr4uzxo2NT1+8MN5x9lvjoZ99P7bc/7uIdfdFPP5gbH3wzlj/u1/EQz/8bvz9sqXx9qOmx5kTJ8Xqf/92bPzxT+K0iZPjnKOOjpve/Z54+NZbi1NB8S7hwXti252/jZ4H74l7v/HV+OCZZ8S/vvPd8ZE3vCV++K6r4t/ff1X8f8uXx5zucfG7j308FnZ2xUUto+PiDtr2uKB1TJzd3BYzpx5VnAiKR4Ot22LO3AuKRCCenuAMOOzANRjWquBbq+qTfmrlPTwJqmp+ZX+2PfLoX9nOXFcr8ulLC3/kQx91NuF4ytafWC9fV1u/r/39kgg8opjFUIJC647qyyDeCgMKRVBVnj6Pcc4vCNPn8DoKBjJg4ceOTpv5CyL8lSnzB0hkMGGZLOTFWo0WMUG2fPzlmr5BQwbHfgfsX/zZ8LkXzNyVCH74hc/HWd3dMaezK5aNHV/8qi+fFrx/+rHx6ZNPia8uXBTnto4q/kbA8mkvjSVHHxtnd3fH1RecH9+7/trYct9vI9bdHz1r7otYc19878vXx8xXvyIueNUr422TpsSpXePjzO5JsfFb34kN3/h2nNU5Pk4b0xVnjpsYZ08+Mq6eOze+/jcfj42//WXEmgciHvlD9Nx1R/zw0/8QH5sxo/gDJbdd/dfFe4PXDzsiVh7/8vj02W+Pm8+fFcu6J8T5hw2PBa0dMae1Pc5t74xzJk6O73z60xHrHyv+RiJ/FXnDlif/0zRYgLf21Y4GBHbQX+iDXh/wmpYx6Wi1uwGtjb0nkXvtmPY3SSGTY8phEOpbrC09tJkvY9UqvIkR4wT+8PRRQH9lPjTK4UbUqH86v+FEACMCCWAQPhcUQgG/9qlx6WOOBstz4IHyBBDzLRpLR+HePj961IDwh0eeLx/4w5v1ucZRoGNHyrs7PLhHr3oVPXKFr9V1lRW+VIxa4DFkcPF/AwYNGRSVEsGCiZPj7Be9pPiFHx4LZrz48Oj5xa9i1bHHxDdWrojzRrTEKYccGpeecGLcedNN8cmlCyJW3xfxGO8D7otf3/qv8Yajp8SJXaPjVR1t8YbOsXHetJfGya1j4vSx42Prv94aPd/7aczonBgXTJoe86YfG29p64iXvfjQmHXCCTHjL06IX3ztH2PHvXfE1v/6TfT8/j/jA+e9PVb/69fjzK6uOKOrKxYee1zM6OqKq171mnjshptixrARcenEqXHunw6LeWM64/zO7pgx5cj43mc+0/v3ETdvinXr18b6zU/+BWHsaiCJES32MZj1F+4Zyz4gvoxJR+tcxw0k710Le5Cc9QH7y632tHWtao+25fn17uVLm2MK+Vgjy4cO/VUaTgQZbIQyAO0XeI2cMxnHNekIHIKzWtFw5URgv/xNBvDhUwv4AijBXo0/b2HlgzPIoz+AZn0wwQGQHf4mxsIphg4u/pMQiWDOBTMitm+MeGJteCI4t6UtFrd3xTvGTY65LxkRV59wYvzwHVfEgkkT429OPy1+9aH/F99ceXnMmzItVp302njwO7fExv/6Raz93c/jwysWxcnHTYs/72yNt06bGt/9h0/Fb2/8Yvzsms/GrGlHx1ldE6Pnh7+MrV/7dszumBzntU+IX3/i2lj3tW/Ft6/+f/G2KVPj9eO747xXnRhXL18U63/zs+Jjxh9+/rNx+dtOjcWv+ct4z5tPiSUvOz7+ZdWquOy44+P2K98fV73shJjX3BYXd3YXv/vAX0c6b/LU+O611/aeCHYlgscL+/N4lgPExE4fgWwwG3TcM4Z9tJstY9LpW/iC4/qj9/ijffDERta8A2M3fAxbcgKGNxsK62lf5hOs0Omn9NWqJhDk4Bqe4FGNP3J7ukbu/ioNJwIEARgBMthQhGsE56/UCoytz2waWYUAgQpPQLFoOOdzbx/8TQRmTH+zq8wfnlaCFDlIFBgCY2N8HYL7eqcBx9E3V3hb0YETh7x1jCIpDhkUQw7YLyolgjPHjYvzWkcX395b3j4uLjqiJb4xb0F88C9eGWc2jYw5E8bF7I5xsXj60fHlFSvjYxfMLl4Ibr33t3HlkgvjtUdNjNcfNSn+eunCeOL22+Phb94SsW5D3HnTl+OU9s44o3N8rP3K16Pn1ttidtfUmDFmYvR89yfRc/uvouenv4iHb/l2fGLZxfHy9tZ4y59Nj8tmnxPb7v5d9Dx4b7xh4ri4/r3vihWvfk1ce+H8uOVd742PvOHkuOa00+O6t51VvDCcfURz8PcIeFl49viJces110Q8tq74i8yPbXg0Nmzp/cYpfgI+JmBtSGBgP20IvhTuwTD7gL7AmHS0znXcoPdeW5B8yn3Yv9ynP9rqx8iOvNqYdfRJ1+hLC1/l1z/xV/jLT5k4UfZXaTgRALTBT/AiPIXEQDFwAcFHA0Cn+AKE+dITWBYB4V7l5ce9fQLsTsI68JE/pwGTio4Bz8wfHhhSJ9SgytJIi34aEf7o4P2goZUTwQ8+f12QCC6ZfnTMGtZUJIFVnRPi1+/7QFx+zLExo3NMzJnUHW9v74i5U6fFv7z3PfG7f/5yxMP3xS9u+Wq8YnJnnPnql8fNH/lQ9Nx9Z2z96c+j544749efuz4+PnNOzD36z+LtE6bEjh/eHj0/+UWcNKw53tw0Ov76zBmx7hvfLv44Ss+ddxVzb776Q/GXU8bFSdMnxl0/+HbEow/E6p/8ID6xalnMmjo9/mnV5TFn/KSYNaYz3nnUsfGdi1cWf66MdwSzW9rivNaOePsEPj4kETz6lEQArtieoCN4wF0bYBPspc20F/eMZR/QFxiTjta5jpcTgff6EK1+ah/y4Bvcw48TpD6vXzCW/Ue+ylitZR6+4MtS+OG3+bGWtcBH37Flbn+Vhjm587KLmwRo+cuxJAYUoCK0QZwVyIBCLxAaU0U1pDwEVuepxj8DKn8MqazwR4dsRHjxtWicEsP3tXo6yC38+V0M/3YBvKk6Folg0AH7Bm3xaLDtiYjHHw0Twfzxk+LCpraY39QWl3ZPjkeu+Uy87dCXxKdmnBOfPO/suOv6G2LFq18dn75kaTzyk+9FrLk/4tH74zff/be480f/UfwV5J677oy7/+Vrcc38xXHOpCPjtcObixeFF738FdFz992x5Wc/j/l//so4b9rRMfuo4+KMcZPi3aedHvd9499i7W0/jli7On59y9dizX/+NLbc+1+x+pe3Rc8Dd8VlM86Kd570hlhx/Ikxs3NcnDOyNS5sHRNr/v7aQt53Tzs6+PVo/lDqzKnT4vuf5ePD3hPBuvVrYv3m3l8C4vdC/BPiYIOjgxd+I/bgqE/QB50+4DUtY9L1JRGwFvOou2yS/qS5Ac04u7I+hDz6Fr6ekwc8Ob4jvzJWa91wKvE3Nu67776n/ELW/8/em4DZVVUJ2wFUULv/fr6vVTCEzFWVVFUqc8IYo4AooszzTCYCmQcyQ4B2AJGhQUERlXmQgIi2ra1iOwEyJgZCBiAJAQIh8zzV+p/3VF7YHu+9Valb8fu/p//9PLvWOfusvea19j6nzr0XXPiRCy3Vyi4ECMK73FY0hEQ57oMxBEmhwVz1mQMehs+2x7scgfP9YBA4FBcbhmROvhBAW7qpk8Cl0rrd5ByZcJoNfD90lI5TkSkW0MWpu9PzDodv69atM9mxRxpYmU5JIbhk5NAICsHGhkLAg7hz2rTNdgSX1/WObx72mXjtllvja0ceGXdfOixeuvP7MfHzR8cjV18Z0848JWLTyojta2PF63Mj1i2P+vfeiFVzXogXHnoohh52RJzPNxH3Pyy+d8mo+Ov9P476Ba/G8heej1d//9+xZcEr8d/fvyO+M3psXPyZz8U5ffvHkIGfjdd+99vYvGh+xNb1sWLe7IgVb0RsXRtrF/w1Jl1wZtw++OK44uhj46ZTzoh7Lxiafd7h3e/fGV/te2iMbNcpLuvWI0Z17xmXHHJI/OWB+yM28F8DHhaujHVb18Wbb76ZucMtNickAD4A7ulCgH/yiwBvmfJbC7Q0powRxow5PwdAvNiQmzgG5uMhfy5/8yBdMIzd/fdveBWb4pIWHOa2VCubkkmOUHzQJwvupLriSBpGoXGO01UYfBLWbT04GJkCkjbp5gsBKzuV39sA6OMU6SMXczQ0NCkwKX2dyqcKXU0cyzuusXP4FerKT1HRmVlRaKQQ8LCQh24TK6pjem3PeP3bt8W1xxwTV37x6LhnzKXx2Ff1wxMiAAAgAElEQVSvjnumT4lvTx4b8e7iWM+7A1v4JaJV2b8Nf/WD2+Psfv3ijG7d4+unnx07nn0x6ufNj/qX50f94qXxxX694uKTT4hNC1/JbgM2z5kTb//uv2Pcl78SZ/TtF6f27xv3X3dNxKrlEdvWx/rFr2S/brR5yYK4buKo+PMNN8fjUy6P+4ZeGredfGZcVtsj3rvjrmz3MpnPGXTl683rYli/fvHUffzXYE1WCNZuWBnrtzXszPAH8ZHu1LT/P6IQGBv4zd8OIE68nUQ2F6V8woNnEWNBNB8cayxeWByMF3MgfR7AMTFj3INrgSBvWqqVXQhwFBUyXe0QEIEJ9NSRbsdJQpXHUCjqtgzFNGaqpNel7Xzog29iOxe8dPV1CwZNHMw8mvMoABaBFEcHAFN6OqMxRyNn6mx0tShkkA808b0M2a3BxQ0/ALJ1Y/zpnrvj3Nq6mHzIETGha/cY/MkDg8/2L/r378Skvn3jwsqKGNStOi4+6jPx0Deujm9PHB2rZv8lYvPaiHfejPrXFsR/3nxTnFbTLUYN+FzccP6gqH9tSfacoH7hopg769G4a8blcVbvbnHRwb3jV9dfG+/+6hdR/+qCqF/6etTPfj6uH3ZhnHVw7zihT7d44qEfRWxcEbHx3Xj35Wcjtq6OiRecFo9NnBbj+h0Wo2t7xtgu3WNUh8pY8f0745bPHhPDDmgfIztXx/DqHnFBj77x9P0/zt4s5GPIG7dvjeXr1mb2xwfFOr7Ap/rLGErjDTtq49R3HNPwK3Y3djgmHpjHsbGkf/G1/IrJ5fguFn8DmGuHB7Gb+XpXThiL8LMjg/J5XbmMNc6RTZk5bqlWdiHAIDSEVEAVQXkNAo5OZI5KmuCcs1KmWzFXBfDBQ3HwoMsxhoM+1wkW6FsIxDNACtG3IMgHGaGXNnVivl2HcY4cpbpztInnQPT4CO8v8CBq71Zx8fDBEds3R2xYE3+46844v65H9qBtYnWP7GPHfJnoS9fdEMMrq2LCIQfHyP59YsbpJ8eDX50Zd8yYFLF6efbBIZ4xLP39b2P4UZ+LM3v0ijsnTMpuA3Y+NzvW/emp+PYlI+K07j3jhJraOLtnbXyp3YFx3q5fK7rj0uGx5ak/Rf1Lc6J+3ty49uJBcdqhvePEQ3vGstlPxrrXX2p4R+HdJfG1EYPjqetvjgv40ZQOFTGld//4xmGfyXYEfJfi9G59sh9BGdGtdwzuc0jMfvTxiE1bYsu6DbF+86ZYublhZ4b/inXjB9+S0Kl/8U2aJNye5uMHujTsTdJh89SnnutDcPAVsWEBUoZCMC+3C4pQP8tH3sjtMbGtHtyWGCNpbqTHXkfmlmplFwK3SghHgqAwxuScrY7GQ2ALAWNcBxeI4VUUPB2gkjiFhE6TyWOupQ0H0KCb/r9embjGHPE4d9sHX8dxMEEFHeaiG4ZHZouLWzlwinWfnVg8cD6yQyubA2RX8NEPx8TLxkbs3BqxcW08df99MaRPvxjEtxB9sk1ce+hn4ureB8fzV389vnfq6fGzKZNj1qQJcdPwodknBGeed2bEO29kny58/qez4sTe3eOUXt3j6xdcGPXzF0T9kjfinV8/EadUVccX27aPqSefEleccWac2L59jB4wIMZ/9rNxbk1NXNy7Twzv3z/e+MXPs08ibn7pxbj8onPj1AH94/SBh8R2Pra88u3YunBefGvk8Hhs6uXxh69/K/sWoxuPOz6+NfCoeP2Gb8c3Dj4iBn2iTYypqo0LOlTFqRXV8eS9D2Y7gvot22LNhvWxfO2aogXABMv7N01sb/+wqfbN+9dbRmxNjGF3E9BbNOfqQ64bE9Arp3HbYdxYZOAjb2RK84BrxirHxpiFIx8/5ciWzi27EECMp+4GfJooKFKqEKgUiusg8A0CCocVHlrwAM+iwZgNPPCZT3FSHnggkz2lT9L7Xw/v6eDtqgNtHAYNeNHhD/SlDukWgymucxmDJrQ/zCvX0P/wXjH8kiHZz4nzO4EvPPJInNW1JqYcckRM7dY7xhzUOb7R97BYfPNtcWll15h7263x2r13x69vvD4evvKKuGH4kKhfsih2LlkUv7n7jji+d10MOvqzsfmluVH/6qvx2s9/EcMHDIzRR30+rjjt9Pjj7XfE8v/+ffa7hjN5I/DXv4nVv/pNXHHsl+KEdh3i6tNPjdd/+YvsBaJVc56Lcz53eHymc9t46PprsvcI6l9dGFeefWb2DsHXv3xC3Df80vjlxCkxrkttvHnr9+PawwbGuIqGr0ob2bNfDD9kQDz/8E8iVq3JPnS0efu2WL/jg3ct8F2hrn9JTK7TSG79a+wUih+LOr71OQB2t5DjB4uA0AUGPjwbgEapbnyncWX8AuFBh65xZOy4+hM7XgPPc+PFBS0tEOBgg5ZqH2RSMyn67UDuDDBIWsU1FOR1JMcmQ17pvCGsnMyBBzQsDhgaJ+vwlIdyucqnCY5MaaMYuDVDHoNCJwK5rmMIqrRwpI7PHyu3ekBDXtBdu3lzw9eZx/bYzvcV7twW25cviz/fe0/2Wu7I6u4xtnNNzGSb3aFLLLvt+9kHeaYdfngMr+sWYwYMiFGfGRB3jBsT61/4S+x4/ZW4ZvSwGPzlz8ezP3046t9amn1GYOaZZ2UfLBp06OGx+fkXov6leVH/9vKY/Lmj48TW7aN+7rzY+vunYtufnso+IDT4kENi0kknxaZXXorVc2fHvF//MkaddHz89KYbIlavivpFr2a3HFOOOSZObN0mhtXUxr8ff1L2i0xLbvluXPzpdtlXpY2orIlzO1TGiR0q4s/33sf3mMf29etj5NiG7yMguEt1fF7IvxZwrhljxpfn2F68ND7TQu9DbGPWa/iGWMRfpToJbCd20g4NG/SNO25FLQLQTucbP+ilPsQ7OwPwwC+0EMqnufADSZtLIXm4pxKpAqlTHIcVBkMpkoJjjGYCppWPcRTHkDoJmjoOWoxzDn1k8J7fIGDMuULmEQQmtPwxtvKQ8MrEdTrXgbSVK1dmsNQf/+XEHPSVDpCVif+l8ImK7PcA16zICkGsWxX8pPm5Nd3ixH/+RPZ7hiMPaJ/9+tCC626Kid17xtTDDouvfOJf4xyeF3xmYPzy2mviyTvviFj/3q53Cd6OlS+/EGvmvhA3jhkRZ/bvF8M/d2TUL1oU9UuWZp2icF5VtxjR97CYOOCoqH9uTtS/8NfY/vzsuPizn4sv19bEdy+fFrFlfexc+nq8+/wzUf/qoqh/862Ye/f98dtv3hiDe/WKqUd/Pi6q6pJ9mem/HTEwe6GIV4wH798mRnatDXYEQ/sdGs89PCtiw0YMHxMnXRat9mv8/+zYFp+5Oqf+1XfgGFtCxowRFw6uWVSg4/bfYqAfuZYmW+qz3T1m90K8QhPe8oKO237iwl0KMoADPs0FDfx8XhCbLdXKLgQop9AKlSZbWgh0Angkm4pRDFwlrZQorjNIPpzKfI0KD5M/5QFtCwHHBgHHGpV5OsTAgZ9JbiFgzI6sOEyZoYc8jXVko0EHxzHfbSL82BHwRZ47YmfsrN/aUAjWr46//uQnMahH75jW/4gYcVBFTK+qi5k1veO+08+J244/Ka75whdjyb33xIjuPeP6k0+Ja884I646/dSoX7oo4t2lsWnJvNi5/LV47Y+/jSHHHBkn9uwWf/jB9yNWrYpn770vzu7TN4YN/GwM7dE/jv90+xh56MC45OAB8eZ//lfUv74kZl13XXyld884beBhseCPT0Sseifi3beyDw3teGFOTP/8cfHAqIlxy6BBMe3zx2S/i3DzSadm30nw0DkXZD+Iwo+s8DHpQZXVcXpVTfzx7nsi1q7Lbg3GjBub3RJhg1I9jZnMkEmCc5762sKf+pfYFCcfJ8w3nogDO7Glr4iFUp2YoOd1cI4yI4e8GCMeiIV0oSEH3LmAY6ESn2IhP+NS+uXCsguBiYTxbSSZRhdyLXUqhjMpTC6NQqKoqEkpfSA0aRhX/kAc6DUKgLyBJr5FymvIxDX4yReeHusw5cARjCGH/KRVCBaij+7oCuSudx1FLnbGlq0b+OWP7E2+2Y88GsN69Y2RXeqyXzue2qkmJnfomj2Ee+2W2+LG40+IuwcPjqU/uCt+NW1G3HLu+fGtC8+PuT+dFfVLF2b/3tvyxvy4ecr4OKlfz7j8vLNix4J5sXXu3Jh2yqkxZMBnYvxxX47nv393LHjoJzHluBPiwr6HxNcvuCh7plC/bGmMOeu0OKpnbdwwfVL2XGDH4lejfvHieOGHd8ftgy+JyYcemX0kecV//CKe+tb18c1jvxSbfvJYXNmnfwz+VOuY3r13TKjrEcNq6uKc2h7x3EMPN3xV2Y6dDd9HUCCB8gllzAD1Nb4nSbC3Tb8KiQ2685nrMXOMB8eg5VzGjL+8PPlz40L8PIQuvJCFJg/8bywxx9gHx1jn2BiHrzjgOzcj2gJ/yi4EqeDpVlnFuZ5WObdzKGOyAV39vZfWOCqPI91mQ1NHaliqvgZ0BbBoFEpQx6DFToFtmk7lloBjjA/E6FRjjnlwQ+WWn3JAR90IUmVhnLfMeEAkfXSFNnrzC0d0bg2iflvE9q0Ra1bGcw88GIPqesaIqm4xum1VTGxTERMO7BxXde8Xa+95MG447svx8KUj4sKDOmTv+E8/8sh45vbb4trB50X9skWxYylfJrI4Bh0zMM46ol8s+vV/Zs8LHrvu2vhCpw5x8ZGfjU2zX4j6xW9k7xfseHl+DDvq83HeEQPi1z/8YcTGNfGzO78fJ3320Lj41ONj7cKXo/7tNyJWrYivnnJaLLzzvhjX+5C4oK42TmvfLh4aPSqu++Kxsfi278Wk6rqY2atf9u3GfNbg0toe2fcRPPPAA9nzhdixPcZNGButPtzwXxjsUqybqEB8RtPm2JnjcjpxaqwaS/Ah/orJVGqceWlP44Jjdy3gpMlNjPHwL90FWPiIHx+OMo8ccRHNDNICf8ouBCtWrMjESJMUg5IIGtaEVF4Kw4EHHpgZzAKAgv47iDHvmRjn667TIkMSknTQ5dgAgZ+G9NVVeRaDyggfuk+X8xXboqU8KX14+m+q1A7IJn2Ch7nqC32cSRHYxi8i79gS9fzrkEKwdlU8/+BD2Q+OjKzqlv1QCb8RMLF157iytk/86MTT4hfjJsSF7drHmOq6OOeAA+OSbt1jSI/u8aPLxsY9M6dk7xRsmPdi3Pe1mXH3ldNj1bNPR/2iBTH+xK/EGf16x22TJ2SrfKxaHfHOu1G/9I347vTp8fmu1TH+rDPj7b8+H5uXvR7/fuXUePxH34ttS1/L3jx8+N+ujkenXxGDKmvjsr6Hx/ldu8Tofv1icGVFPPv1a+KGo4+Jbxx6RAz61wPiqj79Y2rPPtm7EGd3rYnnHuKFonWxfe2aGDZ8aLT6SMO/mbV9IZj6jV2et3f+boUFvRhM5xc6/kcUAmLDOEAGztu0aZPFA3Hh6o7+NmPaYqBtjE/yg/hpqfYB5zIoUuVc5RCYSseHSBDW6o1iJimsTGyvM8Z1EwU6JJ8fRtEAjFs9oU9zJeYYw0HT78rXgI3BjFDy0IkiQ6eR0GnznPfMxeE68qdyootOdr6OhQb4m3mQWR+xZefWvykELzzQUAhGVNbGjC494/JO3WLc/h3i6to+MbpdRSy85daYccihMa1X3+zLP0bW9ciS8oejR8QPJ46Jv9zzg6hfPL/hi0h5CLn63Xj5p7PiggGHxdEVHWL17Oci3lkWsfq92PbGkoiVK+KVJ34bR1R0zJ4LLH7uyYh1K2LH8sURa9/NcN/83W/j34cOjm+ddkaM7dUv+yWkobW1MaiyS1w1cGC8dcedcfxeH4kJHSviW4cNiBFtOsTYqpoYVtk1BvfsE7MfnhU7l78d7Aj4YpK//RobLfS3EHuZ/F5hzN+tKLU6W3xL+Z64dEegbxhjjjvCxnik1/O8Uprp8ypiBz7ueMwD5psDxD8yMGaTXhqfXisHfsChHCq7Hn6wZTbwXdFNfhRAcZpjssQYJhdKs/VxBXYbxLhjGkcDaWDopwZ1DvOKdWTGka7oFBXl1EnIBg+Mz25GeZ3jOPrAk22ctzT+28fbIyG4rBIUAhJia/22hkKwjd8GXB0vPvjjGFTbIy7p0CUrBNM71MSUAyvjyupe2S8gP37JyHjuG9fG8HadYninyph66OHZLxqdeNCB8cDkiXHdBefEnPvuym4zNj3zdPba8JtP/Ff2ktGM88+O+mWvRbz7RsS6lbF+2esR61dHbNmYPRc4+bD+8eSjP27YMax8O1a+8Ez88a4fxrhjjo7vDh4SMwYeFaOqu8XF7SpjSGWX7NeO+X2D2479SkyrqYtRrdvFRR//X3ENrx53rIwhHSuy5x3zf/aziFUro37Thnj7nbey14zxV6mexgsxpK+xc1M6sVKq4+t/RCEgZowrdUA3eXMMDqu88c0x8c+5c9L4TOcyv5xWdiFAMARiJaSSmawowbnNBOJcBRjzWLxCzqW4QB+aaZWHPgaySkqbxAQvXZ0L0XWMZHUukPlsPZGN43xLt3n5a9DUkRZFCgPNwgL0lopCwLuQ22J77OQ5QVYI1sTshx5+vxBM61QXV3Sojas7d89+RmxGdc+sAPzmsinxvRNOjjP+5V+zHziZMWBADK/rHsN794pbzj8vvjtsSDw8dWrUv/5a1M95MeoXzIvt8+fG8mf/FNveXBhb3loYq956NWLnhtj67huxg983mPN8zP/Nr7I3B2PT2qhfNC9+dcuNceuIS+KecWNiTO++cV7rtjG6omtMq+2dPaN4fMTYeIKXiTpWxeXVdTGxTce4sktd9kMs3B7wTcxndq6KJ/k+gjWrI3Zujw2b1seqzevy5vu7c4qEMQLMiueuT4ViV2KiVNfHxSDJaYKmcaQf09W+Kcd5PirErlk9HHPRYlzezCeHiB1j3fhxPjbwU4/SKheWXQgQgJXRoGcnwCqLQoyx+qsAuCjPCkuCAU0qxjkmud1ZcIyTU+Oy0rrbYNxGUfEWATokN3ORoVS3WEDHnYrJr2xcg77XkZVkxrngEEhcYx6yITdOxKGF6FsQMp78C5LiyP8NLATr18acH8+KIbU9YkLXnjGpXXVMPagqZnaojcsOqozJFbUxuHXb7OfPtz76eFx/9BeyX0M+44BPx8XVNdmPlfJ7h/8xY0Y8MmFSfOPEk2Pxo49G/Ut/jZ0LX47tS+ZHbF8TO1Ytjdi5LtavWJIVgti8LvsVpO0L5kf9glfi99/7bnzrogviB6NHxTWnnJz9/uFF7Ttkbw9ec8iAmNCuKq7/wnGx8u77s+cB49tXxrSOXWJa24q4od/hMfqAdtmPnvAuwfA+/WPOrEd2fWfhxli/cU0sX/telgAkQbGuf9NYYYyVMo2LYseligTXaBaC1C/QI26akvwpTl6O/EIFDzo5IT/5M+YiYhEwl5DT+DMunZcpUeafDzKpmYQQBoX4/7+7AQyIQTingYPwJAoOL6VA3pCcawzoaSDx3J5rVPgxJh6GLdWhQ0AoEwFH475UudUhu9DIH+UCKoN2YKpFhsJC27y9oRDU8x4BhWArHzpaF3N//EgMrukeE6t7xZQOtTG5dUVMPbAyprTvGpM618SU7r1ibE23mNn/0Fh2+w9jWv+DY2QND/D6xdhevWJ4TW2ctv+nY3BV11h0511xy/kXxMQvHhP/+Z2bYsebi2LDsldi++qlsW7NmxE718fKxa/ElmWvBT9q8pNvXpPdBtw1fly8cMftcewnPxFTBxwRgzp0jK8eekT2A6yDeNGpoi4W33p79jFpfp35xkMGxtj928YV7bvEZZ9un/3s2dTquuw24vyamnj6rrsjNq6L2LE1tu/cEm+vWZHFDr4r1bGTKyZ42M5YKFXkjcPUJ/ljaOv7NIbAa4lCkDl5120gvk95eM2FhXP5oh/HxBDHymh8uuhJo1xYdiGgiuEkks2VmhURJVi9092AxyYBhkFBxjWQhoCeiWT1tyCAIy9pahgNBS5ylCoCKQ8M6X2YlRcH5eXzGjooN0XOKo1sOI5uIDFGUzb5ML+xQnBp+y4xo6JHzGhXHZe3q46ruvaKyzpVx7CDOmQPCSfU1MWPTj8rFt363RjZtSbG9ugZQzpXxMS+/WNUtx7ZPfy0AQPjyuO+HN8deWk8+q1vxE1Tx8bXp4yMSy86JSaOvzgmjRkWky8dFF8dfUlcP2ZEPP7Na+OWi4fGuIEDY9zhhwUPBM/lK8v7HxrD27TPtvzX9OgXS776zfjBKadn31g8sWOXGPov+8fXuvaImR2RtSorFJOqamN0TV32Q6ovPPBgxKb1sWPD2tiybWO8s25lyQJATFgALPie419jAPs2t+MXk8wYZIzY038cN7Xn5SAupKvs6kJ8Gb/w5HpavJTB+DFujEHmt1QruxBgRBRAWB+QmbgkAy0V2IT1/6mpIq6WGAcDQtsEs3hoVK5xjOFY0eVtEcqSLPe0P+VV7Bi6aUcvaErfNx/RCb3pyKiO2gF85NKxqR10KIWh1Uf4bYNW0erDrWL0qOERW9ZmD+7m/cfP4/Sq2hha0yNGVfWICRW1MblTt5jcqSZ4uWhS5+qsT+7WOyZUdYvbvnRiLP/enfFvvQ+L6TW9Y0y7qriirl9Mqe0VD543OO4+76IY3rUmrjjq6Jgw4Ij46gnHx09nXh6PT5oRv5xxdTw2aWrcdPpZMeaww+Ocqi4x+cjPxV0jLo1XfnhHnNexY4zt2SMu69Ur+yWj73zhS7HpngfjB8ceH2O71sS4LjVxWWXXmFLRNWZ06hpXdOwaMzt0DX6rcUZ1jxhZVRsXVtXGy7MejVi/tuE7C9e9F2s2rn7fv9gNewFJACAdPzbW05XWGEr9a6xpd66RTPiusQTHf8Sx/mcucYdMtjReOE7llZe4JjG6EVfGrkUNvJQ+MtLARw5gfgGTdjmw7EIAcwT3njwVGCVd9fNC4hySB6OZSKlx8/hcwyjMgZ/NRMM4HGNQ7stpOGV3W96pOgu96AQOPIo18cQFUjyQ2WLBXL8i7f1CsM+u3zXg7cItG+LFRx+Ns2u7xzAKQZe69wsBRSB7y7BzdbYyj6uojqGfbh9f6394XHfYkbH1oUfjjmNPyp4jjGxTEfws+c6f/Vdc1qNXnLX/gTGoqjK+9qXj4udXTI8rj/tSDINHbfeY/rmjYtb4y+Lak0+Nszp3igtrquMnU6fEb6++Kv5j0qQ4+8ADY1jHTvHjCwbF29+9I/t69Umdusa4qq4xoUvXmFzZNaZ1/qAIWAimd20oBNzmzHmQ9wjWRmzeGBs2rm60EGDrvD/y53k/ECPEnHGC3U0+YsjYMTYaKwSpPzlurJWSj2vEOjJCi8SGf8qjGH0WV2NdfOa2VGtcsyZwSu/JTUSETQXFGe4GSpHESKmzOKdrQOcyJl8KDnzTWweTDueX6qnj8njIodFxhC88McZqTnc1YrVBR1YOdyU4mgIJPg0daMhOgx87gWxHsE+rGD1iWET2mvGm7BuKLurVLysEY6rqYmLn2qwAZL+ByO8gduqSdb7L8KL/fUCwNZ/YvktMqaiJOZd/Ndb/6N646fAj4ztHfiFmnTeo4TcJu/WI8T16xPXHHx/LHro/bjrt1Liosir7T8CsMePij9dcGz+fOi3Or+wcQ7vVxq3nnB03nnJSTD/8sLj1lJPivbvvjl+NHBXXHnpEjGvbMaZXVMdlVVUxubIqplVUxYxOVTGzY1Vc1YFOUaiJqVV1wUtRQ+p6ZZ9xyArBpg2xZev6WL2p4Xv9sAU2yu8IiJ+8T/Ln2JIxbFtoN5AZOrG5BYBx/AePUh1/ssh4qwmfNLZKxQ9y2eDlPMaIC+miN/EFD3DAha74xLm2oRgY52l+yae5sOxCQHKjMKswyej2xdXZ+yEFBJeE0UgYFsXphRyZH8NA8NShJJ0804IAvzxvZdgdiMMwOIHq9hB+NLecKT3wxMfRnIsPHsUFnZENG2TfYvyhVrHPR1rFqEuHZp/0i62b4okf/CD7olHe0+fLPXhASBGY1pHe5f1+RU3PuLJb77i8ukdc339AjG/dMSa26RzfP+pL8fYN34k/jJkYd594Wkyt7RFjKrvG1L794o4zzoybTz4pbj7l5Ozef0z3XjG+T5+49Ywz4sqjj4ppnxkQ57RvH5fW1sZ3Tj8tfnTuufH6d2+LGz//+ZjZq09c2b1XjPhU65jRuTqmVBQoAu0bCgG3BsjNS1FDevRueFi4bk3ExvWxddvGWLVx1fvBnhYC7daUQDeO9AFxRHzRTSSuiUc8pTEFj1IdudIuH6AxmI7lj5HDpu+JG3KFfwumtDmmKSv4zEfe9BV151AQWqqVXQgUBOFISp1ocnpd5VLIKurqCJ7XcGbqRK6l93c6gISCLwbBmRSC9N91zIN+qY6x89eha9foQHh4Dm3kQGbkxbkccx0ZrOBA5PMZR6ovNNgN7LPfh2Lfj34oLr14UPbtRHzTL19VxjcOp4WAIjC9Y5eY3rHy/f5v3XrF5RU1WWGY0q6i4WFdp+qY2bkmrqqojRsPHhDLrv/3qP/Fr2LWeRfEd449Nga3aROTeveKMbU1Mb5bXYyqqolp/fvHkE6dYkKf3jG+d6944orLo/6/n4g5N3wrbv7ycTGhtja7BRjToUOMb9chZnapiSntOsWMTpVxRafKmNmxMq7qUBlXUQSSQjChc3VcWlmb/arSs/c92PADJxvXx6bN62L1xrXvJyV202bGEFA/FIPYkETBBzRjiGN8S8PmJJQ+yAZ3/SlVBPQ3CwBJyzktjdu8XMRt2uUFHvHCNeQxP9Bb+hxLX9k555iF1YUIO2kj6ZcLW6QQkARpEUAhXgFFcJRn9bMyYghXah2DkTxOEx5cGt8ubJMO5xgIHm6/4ath+UbZlmjQQzeDFAcSFO+/EJQ8kER2t23Mo+ork7IYqJFli0EAACAASURBVOiB3hSCfT/6kfjIvnvHkAvPi9i0IXv7bs7Pfhrn9+q769agNnubMNsRdGooAtM6VQR9woEdYkr7yhjfun1c071vTGrdMXtQB+QJ/lVd6uI7A46KK7v1jB+dcFJWDLY/+pNY99BDMf/GG2PedTfE0ttuj9e+fWtsePiRmH/zLfGbyVPia58bGDP694/rjjwyzv/k/jG+qkuM71SZ7QCu6d03Rn+qdVzbo0/RIjCzQ01M61wb4ytr45Lquji3tkfMfezxhheKtmwMfumI3zVwdcZO2tggBzbWjBHwjB3iy0TyWUxagLnubWpjhcDkQz58Kw/4KXspGcEnP5STfOBf074inRYE6KfxTXzQeHkolQNZiEHs1VKt7EJgwuV/jwBjYyiEJpHoVDUMz/e0+6GR1LDQSO/D/e9D27Zt3y8UJBIGcp5B472TRUFDw7+cjuPghSN1jEHkO/A4z+KWfuiIceYTlMig/hy/r+dereLD+zZ86/M5Z5za8Gbhyvfi7b88HadW12YvFfFCDr8aNLlzdUztXBnTeKW4c+esX85tQ9vOcXV1Q9J/rbZXTG9XGZd3ro4JrdvHxAM7xBVdusVVdb2yRL6qT78Y27kyTv3YP8f1Rx0VM/v0ja8felh89ZBDY9iBbWJMZVWM7lwZk+u6Zw8CR3boGKPad4wJfK16VXVGa8QnPh1XVnVr+O9AR3cDPhvgxaeuMZ2PTVfUxoSaXnFpXZ84vbouXnvidxHcGtRvi/dWvRMb44PbQWySLwTYqzHfGSPaNB+HJArFIMUjidhqEzuNFQLoErvuNN/3W/IBtVIyunCki4JfVcZP9TWFvh9QIqaNb3n+f6YQIIjVjg8SEfjpGALrYI75GK+VzIpKcru1AwdDWTg0IDSh74pqMoLHHB3FsU5nDGfvTs8HRqoLx8rph6YsDlxzV0MBUDfGKRLKRHATiMhJld9rn71jnw83/Nvs5JNOyF6/jTVrYvOihXFcRWVc1K1HtqKOqaqJCZXVMbGiS0yqqIyJlQ199EHtg99FnNSpKkYc0DaDkzt0iYltO8U0Xjyq6BpjDuqUfQZgSk1dTOxaHaM7V8XE2m5x3qcOiKGtDwzGp9Z1zz4+TJEYV9E1RrTvkH1O4JK27TK+FAJ+co2HhDO79shuRyYfVJk9IOQh4RUdeVjY8O9D+FIExlV1j7E9+sfw3ofEydV18ebTz2Ck7IXq5XwBajQ84cdG2MM4SYs7iVSqg0uMmCDQwv7GCX4gJrG73/2X8sr7O3+ertjyIK6IO3DzsqFD2vUzEFn93QTjNl3ppc/OwLiHF8faxnHlRN+WaGXvCBoTAgcgvNU9C/699spWV5zlFg6IwzRYCpkLrskFLsUHfA0ExCkYiLkWAc91qIaEJo5xPtc9Zr4OgkepjlwGnQXR4GOeskJT+vCFPrBVq73jYx9v+M/CAft/Mrbx5t32bdktwp/vvjv7ibLRfQ8NfvqMz/aPq66NUZ0r4uL27bP79hEdK2JEx8oA8psCozr8LRzermP2oyPD2nXIvutwdHVN9uLRBW0OisEdO8aE6m7ZT6qN7FQZl/OFIq0PivFdu2XFYmib9nFph84ZXT48NKZDVYxpXxFj21bE+HYV2Ven8UlDfpx1ZOv2MbJ1h+yTkbzXMKmub0zsc0SM6z8wTq6sjWuHX8I9XsSObbFl45pYue69WL+z4RkRdkttjm+ME8ZLdf0r1ObEpbHFcYOtP/BBStOYYAw8Y5Vj6ErbGDI2pOHtIHj4WF7QcX4xKA1pKgt04JeOcy4dC1Fj+dfU63u8EKioRtXICMh9m84S6gwhinMsfpp4jGEwjSMvqy3nrsQcuyJY0RlDntSR8pNWqSLANRqBbJHydoFxbinEgR6OhB8Qe9A//k//T1YMCIC9WrWKx2Y9HOvfWR4731kOgbh5xMg4raJrTB14dJx+YNvsc/+je/SIsb16xtCqqhha1TX7mK+Qj/ymnR8mnXzoYTGiW/cY07N39r0FfGx4SE1N9gElvthkaMeKGN65S/Yq8CWVXWNEVW32FWOjqrtl43zdGC8F0UdV1MSoTtVZ50tVedDIq84Tu/eOST37xoSe/WJkbe8YXNk9zq6sjaP2Pyi+fuHQiBUr+f9p9lVs776zLNZvWRertzZ8VgNb6Qvtov0bg/pL2JxCUIiHCcg1jk1QXyhj3LjhOI056aEL/i7ViUXxve1gzHHi2xiWjroyr6Vay1EqIpEK6WANDLpP2jl2VUU5cIEorhHAYVtu8cDhbLnB01EYjTk6yHsx6JF84OpQxnSePExU8DA2dOBTqlsAkM/bBCBzaN6zQlO9OKY3VHV2Jh+KVns1BNY+e7eKd99cmu0KNi1ZHLF6Tfz14Ufi2IPax9C+h8Soww+PM6uq4ittD4whfXtl3/wzpFff9yHHaecLUPkBUn6WfFi/g2Nw335xepeucVHvPnFOt7rsZaLRffrHSObVdIux/Q7Jxi6koNR2j0vq+sSIHv1iZM/+WR/R8+AY0b1/1kf3ODgu6loTg6pr46La7nEhX0lWXRdnV3ePs2p7x1k9+sfjN90aWxYtjli5isofb7+xOFa893as2bw63lrz9vv/gsUe+EYfYn9jR3sVgiaFELu7qAjxg7aHPnTENwYcI344Nk6MV8acS5w439s8YsVETeOIeY115slPyJj6ywNZkAHeXs+CrAX+7PFCoBFQUONhfFdOC4BQJZmHskDunXw4CF6afFzTQeCa8FZuzgkC6HoNfANDPO/PGBcPeqWKgMkuDv6gUHGOnAYizw4sNuhkoYI+twZ77bVP7P2hfeKjH/9YVhC61VY3PCvYsjli08aId1bEtnnz470nn8x+qmzOrFnx8s8ei788cG88ec89Jftf7r8/Xpz1SPbtQHMfeyxefvzx7FeJ+U7EP/zoR/HCXffGnHsfiBfvvi+Dix79aSx85Cfx8oMPx7yHZmXXufbiPfdn/YW7H4jn77o/Xrzrgazz2vBLDz+afX/Cs/c+EM/c+1DMnvWzWPhfv49lTz0XsXZj1LMb2L49Vi5/M9asXhGr174XS99ZEluz729u+ICXNsH+JkODfUonkjElxPbaHaiPvG6seC4PE4xzfWVMMCa+8YSc0jKG0rgBHzrglerMISboFh3PoSFtFzWupXxaoAZkJPZ4IVBQE4RzH6rxwM8CIER5lMX4QA2gUzBqaggdSfVknPlUUJ/iszrbCQzpQ0c+8OABEy1faEzyYhCazKGDI93UYTpTfurWoNPese9+H4u9P/LhhncKPrpv7PfPH40uVRUx+9mnswTKvk6Mr4TbtDni3RURy98JXjrKOoWiVF+7JmLD+ob/3/NdAJwLN25o+HVifpiUXyne3PCvy+z6qpURK96NWLMuYu36iA18KnJzxLqNH/T1mxru+1dDd20D7qq1EavA3xbZd7Vv2haxY2esfGd5LFm8KCsCry97NTbVr48121a/vyD48BcburPCH/q3GMSfXBMyv6mFgDk2nzlxzs4z9Rk+BZcOff0tH2INX4JHcUh3GeCX6u5wpQkP6BhH6IYsPqSGVroQKn+5cI8XAhVAUJTQeI4z5jUghjBhhG6RSHQrN4ZiPDU6RnMOtNyWE1gmOjisOOK57QIfA5vYyIWDgaU685ijc/L0LWTuiJCbym8x+9jH+A/C3g23Bv/yzw1vGvILyR/iged+ceftt2df7RV8Qcq27bHjvZU8Fs8+uLN97eqG30rky0z4zcRCcMvGhvk7eADJT66vz4rLurffbCgy/GgqBYCPQAO3Azc19C2bGvDhx/sSW7ZGbN7SUJA455hiws5l29bsx0ti49ao37gtdmzaFjs2bw++fmndmrWxYMGCePmVl+KlBXNje2yLRW8tjI2xAfP9TdE2PoDe+mHTYp144ZoQX6U0SDCa113F8QNjxgU4zLUIQVPfESvuUsADB1yaMQa+PlVW/NyUhow+aGYu85CP42LxCV0Xu6bwaAxnjxeCYgKQOCYYOBoW5+gsIE5It40aSGNzTrdIuL2SJrsP+fBMQlrMTwsC+AQQuAaPNJxfCFrQwCWo3LlA3y0mx8ql3MCGYrR3fGTfj0arfT4UrfbZOz72yf+VFQFePf5U609nL57s06pVnH788XH2ySfHhBEjYsr48TFp/Ji4ZPiQGD7q4rh05CVF4Ytznou5c+fESy/PjpeAc1+M119bFJdNHBtXXzUzBg09Ny4ePihGjhkeo0YPj1fm/zVenjcn5i94KeYvfCXmzX85XlkwPxYsWhjzFi6IlxfMj5fmvxIvLZyfHS9atCAWLlwYr7zySsybNz9embcoFix8PV5fvCwWL3s7nn7uxZj90svx2rKl8cY7b/J7TrHwzUWxJTbH1mgovCaj9tXuwNRehY5NcCE0dqcQwIPGPJq+hxcxZQHgnIUnTb7U91wH15hVVuiV6uoOb2I1jU9ixgWL64XiMxO6Bf78QwqBq6XKsB3yWAcISeq0EHhsomNgnM5OAEhPK6hVmQqr4YAanPkY24LCfHjA36qM49wqMl6qowfX1RH6yGaBgn7qXBwrb44//GHePtw79tl3v6wQtNrvQ1kh+Pin/veutw73i4/uu198fN/9Yt+99ol/+tjH40N775PtIPb72L4NH1rig0tF+jOzn4s/P/tU/PmZJ+PZ2c/Fi3NeiD8/9af453/5p4xGNu9DDTsQPgn55PNPZv33z/w5fvvk7+N3T/85fv/MU/H7Z5/J+u+e/Us88czTAaT/6emn4o9PPRl/ePrp+NNfnounnnsx/vLCX+Pp2XPjqRf/GnMWLIpFy96KpSuWZ98/8Pbad7JnA2u3r4l1O9Zmz1SwoVvkLDB2bc+xqwlVDGJfrgmZ09RCgB/AZ4W3ALgjII5MQmhbEJDPOOGYecgOLXGQx7nq0xiUJnNTOvDOxyf6GZ+N0W3q9bILAYbEEAjGituchjGtrhiCLRnGwJgkuR3npB0DaXBwmEtnVU7f8MO5PpfgukWEY+eBw6vMBpGOQb9SHX25nsrPds6ClMrLMTKnPT+GPnYLBjIaHOmOg7kESqn+6quvZiv2/Pnz4/XXX48lS5YEY+rNXO0Gvblz52b4rPJs51966aXsLVBW/GXLlsWiRYvimWeeyd7WmzNnTkYLeq+99lpGf/HixbF06dKsv/HGG/HWW29lzwGwj69lU5S1b2Pxoi2KQW8Nuc4OjBXbhUafsH3HJ+rKMT5A33wjTpBP22MbjuUDPjgmIrFL7OCfdAeoTS0waaFz0eABuLISQ8jOrkM5jRN4g6c+eZlb4rzsQmCC+WWKJBL/EUBZlSwlqCs1OMxLXw3GsPkg18BCjGVQmyxcoyFDupWjOPguATg+eyj1uwmligDX/G8G/Ag4/xcM/ULy62TlbwwqI3jSphg4nrdP/pzXa0l+gnX27NnZCkaygofd6AQaiQQPApw5/G4Dr4Fjs5dffjl7N58xEpu3Knm4R2EAB3w6r5sTByQ8ncIKX2h4L50WaPzTmH0bsw9Jquzg0qBJ7LlaMyYd7UasEDsmsg8rwUWPDh06ZHO8R2c+sake4Ol7CmwaV9CmyADTRiw6HzvSkNXFh3PlTAtRRUXF3yxs8LXApPTLOS67EMAcpxP0JiRGYFUn2JrSUEqjpoWBIGqsEUyuLmnhwaDwRxaNaxCkK7bve5u04DIHHBKksUBFPuS0IKbyp/I0pkex69BDBhrB6sqknPnEz58T7K6mBisBis9ISmxHd7WRLvO0HT9GQwATsBZ45qM3fkPGtEPLntqDMeysP5CDgC/Vi9nFcZMIuWjQNg7R24QSX58gC3OwF4UVfZmLfb2VEyKnDw5T+bUPrw3DB77YWFrQg5//KlcG7K0vlE+ZwTGeyQt87yLLNeS2qYvn5cAWKQQYVOcCDTyOG2tpZTPgoacxUNZO4KUdHAMBPq7+JAwOtppjZBNIwyMbDqM46Didka4wjRWC1Bnqsjvyo0OpDn+cTzBBH7kJRoMwn/j5c3ViHgENpNPSoOIcuQl+aIAjxD405CTxkcngbsw+zrNQQhceqR+UqRBM/V3oWPsjB8f4Trk5xlbwSmMDXBqxk+qZ8ocG9krtZ1wQS+k49D2XN7QYo1kMkc8FT16pHaAPTiof8znH9h5nB7vk97hc2HimNsIBwXGQFVMFgRisscZcAtKe4muQdCx/DA4V04Ig9F5a5ykXQYhcdJMJZ1AQOE8dgyOhX6qXkl9Z8jI351xbqIeQwCvVwUMn/y+O3ujqp0aVxUADPw1q8BkziJUDmC8k0ioFlVuIbKV6KVpcozgag5xDl8KF301KigFNf6Cr+rtLVB7mETvYALmICeNFW4gLfYqFfBhnPnPdTVBcXSCAxAuFAVx4wwN5jUXkRD7wkFe/ZArseqjKtfy415sLyy4ECMu2UUUweloUdlcwjYDRdBw08snI9RQH49CsvhiaHQFOwdA4LF0RdWa+UKCHiQBOnm/+PK+fuwGCE13QId+5ZlcPYJ4254zToIuOBA96qVOpIsA18NUn1VWa0E3trF2wA8FsUIMPf1bW9H46E67AH3VhDscUDXjhAxIK2YwZeRaCedvlz2GtjYAmJQkGPZMXPFdjkwh8eZL87iBTO3ldiD2Q2wRmnDHmpHGPnuCgOw39jVHGLBTMx5dA8PUF8QEeMhrTyi097NlSrexCgCAIqzIaDEgQNtZQHAPlA7Kxeel1/1uhwTCgQWZgKJcJpPMY1ymFdIBWqY78OAj5cV6+5ediq7R7PT+v0Dm46iFEv1IdPAIMexCc6A0sJCs8wYcec+QBhHe+URSUP4V5vPQ8pQmPxnpKt9AxtC24HEOfpNT/nptgxoi3NhaKVC6OiQXo0LUZx3m8/JjxZiyZ/Nob31NInQc+/hAfHcwH9E1bsfEUp7nHZRcCDYyBNKpKMrY7zQqHsXBu3hDQygeD/L0HterrMAyNIw1sZeS6TvM2Ir3mcZ5f/jzVz60y8uM05c/PKVQIxEnpqS9BZEAhtwmNndGhVFfvNDGgAT2DUxuSJBZF8JkLD4KUhn/oyIoOyqee2UDuD9fy8kObnsaJ/srDHLm/O015o0dKE7uoPxONEZ8XoAv8wFNfY0E7cE2ZjAlogs+4CexugFiTJrIY08altsaHXFc+5nCuT7Sxfld2r6OPtP7OKM0Y2L1MLcLAKptuXURFQXYGQIykMbmukuIWgirOfIwHxPgYkI7BSnUDFtrQygcK9Og0t7waHUOngaZ+6XXoi5Onj3wGBrdM8DGwgAaRMhSC0ADPwFMPZTPQmAue+snPMce1oYHOODIqZ54+fEp1/SB96Ug/1Une2gVoPCgv87EN9Oj6FrmQg8YYdMGDBsfCFE8bAVO7aysg/JRdG3uLwDnzSvWUrwXGpFdO+BTrzM/7lzgjN5QfnZRfWZlHb6nWIoWABEBpHaVwjOtYDYFCKNPUZiITMDompYXBSnX4YFhkoTEX/gas5xpdJ3q7wRyDEZg2zxujDw/0xnHoAFSH3YUpf461D/pgIwNGugaOMoCHDBRn5Mjjp/TRD/qlen6+hUdZtDVFIJVF+YTQYS4FJI0ZbY9cxhdj6qMthSmePgUqpxBe8gZyjozYJr0GfqnOXPQivrCTxcD3BbhWqqcycJxvxphya0P0pbdU+3vOu0lZQZ1GUugAxlSU/5umwcAuoik7AuiDKx0CjEBJHS/vYtAAwlHOE1r9masTLRrMg7fzwbHomByMcSzUYUIcBy+CSyeiC8fulNStEDQo0Rv7YV93AcrJmHPh6zaVY3ljs3SV5hoyMAYPVmR4QBud0YljdC/V4QsPEgj5lMPx9JxjC1EqF/zzCcg5MuF/Y0w/cA4t9Ut54QfxgOACwXUOULvCI/WLeiAn+iBnqe6tBHyNH+Ma/8CrVIcfssELntgeOszlVlPdlV9ZlSkLvBb4U3YhQAaEJxiBBieBxLGJpjF0MM4xoEvpwcqMMUwE5utIDAePUl05dA5zoUEgYEzOkREeqey8MKMTkI8Kb2I4ngaac5VN2sjImB1HmqiO7Q5EFvkDuZ3B9iYytORNkrvCMk6wUXyAaVFI+UMfvWjqlJ0U+QMtfYKu+AnbMg5dxpQjzxM5wU/5M4Z9DHx0VF/l4pw54KirEDHFS/0jPaGFQN4ktDQcQzb8VaqDy1xk0l7w5V/axF6puVxTHnnmzazu4jEHXGSlt1QruxAgKIFIY1utMXxwhtAqobIEjnOaqghzcYzO0pGNzVceC0JqfGhYqLwV8NYAujg0PZeXlR+adJqBoKN0ljrLB/nFwQ7YplRnPsnkfHilduacAkXioQ+4QO3DfBMVvhQMxkhKx/P00c/CiZ9KdeUDwtNdjgVBXbmu77hmoWCcrlyeA5EPu5oMJjjnXMdu0hRiD/GA4AKNQaH2QXdoOZ9jdeC4sS6ur04bR8hBDjQ2n+vYyCKJvDyDMj/UXbm1J/LSW6qVXQj8N0y6GyD5eB+dgEKBfLXl3X7ftW6KIqzGJILGwAC8IEMwmYzFoIXA3QeGNwg1KmM2E5tEYI4JwXV0tPFuPbgGXUo/H1yf+MQn3g8IAl49CEaOS3VpISPBkhYmefLhHl8YAo/Oqspcko5rBnqarNyuWQyYA25K32BU50IQmfgMhHSgb1D7Gi1jFrI04fWDr3krgzogM4lgMmhrzsHBbuolREbxgOACtbkQmaCh3IwrN+N+5gW8Ul1ZldF4owhgS+iW6nn/pjGG/aWr3MYs+tJbqn2QAWVQ5C0tHa1xfSYAWZTzvofk8UFKWj2LsffHTdIAxdjMJUk1SDGIATUestkMEpNJh1rhCVLm0XAqvHQyvA866KD3g7EQfXAtKnzoR/sgD4Eln1JBovNJUPH94BHyOsbvRHBO8ucLJsFEsU4LGvKnxSmlb/JCL00M7ZOH0IWeyYe94GciKSPzkF3fg6dP84UMXyITc0gEk0EenHMN+4DLsRC64uljoLYUWgiYi4wUBGlgQ3xGIz5KdYsldKQFNH6IgVLd+IOXtsEuFgR1V25jDVnpLdU+yIxmUjQ5UN4PX3BsEEFWpcBFSQzjvKawdSuefkzYIMJApbqrDgZkNYKWgeLtC7sXdi0aG9k51tD+uxBZlQUddTiwEH2cLA9w0lXblbGU7FxzxWI+MgIJXBKF6wQtOPnABg89aMqP3f09Bq5DI12RLFbpOLRL9dQm0LdwQ1/aaeFTHlc7EwF8v/OfYwvIP6IQpL6wgCEnMpZKYq7R0FkayG7Mcaz8xSDziUcLir5inNj5v6YQIChJifIGYxoAKKSSHGM8E1FDMt7cJk8gAUtyGEgkMmOccwykaVxXbVY1rknLBASKr6zqAj7XnQMUX/2AHoNPsQDHqs4x42ngcE2aHCO3eOridWVw9eTcpPUa8iuDejOmLOClHV5pT3mqIzLJE5rShy6JjV1TPaCnjuBoQ45p2Fae+kkduQ49ZWcux8rCPHUFpvLoX2iIJ93UrtJiPvqC61zolerQ5jr6Oj/VodRcrjXWxIE2XT7q09j8pl4ve0dggiCkBjB4ELZYS6tdMZymjOtEDYMcBinHjNNZHZEPw7pKp/TBRW4DmDng05ijngaxtA0s5jGHJm5TCwG0pAcNjpWXYwqriZT+x8ExcLQ5x/pBeUxUgwoZlRf8tDMn7eiHLOAw7jyOGVNXIHy0rfiu7Jyz43B3iAzuBpgrT2XXrplBkz/qAj1wxVcedBQHqHxely7zHIMW43QXMVlCo1RnESEmsL80gNgJHshTqsunGNRnyEiHLlDZi83b3fGyC4FbGYTDiAiIIThnK4vjVQaDUmlpaUDsrtApvnxJCh1g4JI0Gg48etoIEh92cs2gEheaNOQ3oFq6EJAo8kV+E9oEMjCRSbsKGbMwaHv0RW7pIL821w9A8Awm9QUylnbG3PZCk468zMfOeT+m9vFWCFz1QB5wiAUbtoUmfLWF8ktfH1g8lEt8IXjSBuo3ddV28lMubYCsHNOMDeUsBil+8pcOPoAn8pTqxWg6zlyadJVPfcQrF/5tZjSTGg+LvL9EQIyg4JIkGFXK4uErveI0B1JsdC48DSCDkGt0HI4RCQyqOEFiwHDfb7CDYyGBHg25Dag00NFVxwA5p4kLlAe0xHGOzlRug8lnASY51+3owryUd6qreNBCJ1paCAxKZRFfKG2hDw/1L/MK+ZdkMPGIBwsZ/kBm5iETTRlSO3HNjiz6MZuwq3gYPxQHbcMc8IXgaHPlgQb6gIcs4jvGOT7XtujqsyBkLNXTeFBm7QMst6kzMtLzsVMufeeXXQismiY3glu1YaICGEVnESQtUQRS+tDEETg3dSTBQCf5cSiGpCjgdIPCRNLIyIys0KGhk0GbOh5ezgFyThMXaFDqxHSO+MyBrk4nqdJAB48ODWhK1wQnaJEVHHTKFzLxmAcPur7QP0J5CRlHFh/OIiu2tKXjjKmvcSHP9JpzhcqDTNrTpFIuCznnaaFUDyE04UlDFo+1nz4HnzHs5lxoe92Y0A7FoHLCT7vkYSZMM/8YE9pB+6hPM8n+3bSyCwEUVRyj0w08gsSVAWOjhNWSeVbdv5NqNwbS5wEYS0NBgn/HGAiS1KDimnDIhXGRE+caEMzDGdLJFwKDCL7Mp4nLPBNDfuAoI8f5rW9KnyBlHjzcwkIfexsg/ssJPGXmmI5O4iuXuii3uEJkSrtJx3wKvLpxbhFgDJ8rkzq4OICrHYwNxsRjHjZBJm2DvsjBrkbbop+JZ1yJL4SuMgI9hhY6aiN4pWMWGsaMUXXXNsUgMSgf+NPMiV2nzQbaVN7qqezNJpybWHYhSKuutFMjqACC01UEXIPDec2BOJRu8qYJoxGhyyrLObismMqjfDrfcyC4NObpaIOX69AAR1zOxReqIzjontpA/GzSrj/yAZ+gVR/OkTtNLnViKtfRAR7KJH39AW11EYd5aWdO2k0ceKhLKm+h8AY6FwAAIABJREFUY/lxLd0dugvEhtoRHGRSbuPDQoBsyoPMyo0tOBYfqL7aEOgx16ClPsxlzPmpDVKbc71U10fojH3o2rmQbXZ3DNvQlE951Wd36RXDL7sQWOFTh+NkFKBrfAXXwekKUky4poxDF5oGiCsGMuAU5UsNmuIyP91KY2ivc0xjrgFlAKMXc8UFci6+0OQBH3rgpM4ETxyOTSL0kDZzDU5wlMG56AiuOKnNU5omBjClDb4d+dIOHsHOnJSv/tOuqa3hmRYpzvWDkHnOBWITu/oqBysux+qlj1N8jsGh6Sv1ZSydDx30Yox5nAMtEpy70wSnVAeX6/pQ/eCpfplQzfwjDfgopzyBLdVajBIB7H1hKpwGR2gNzRgN46GoPZ2XHmNcAsv3uTUOONL0YR/JwLErpwUKXtyKsKWEP/KAW8rJXKOZnAQW9KBtoEAHep6Dz3WSBjnlD544HBvM4meMkifVeboEKnqhg8GGTdALXtB2K4vczKcjg/KrC7cj3HYgg/YDVxtCKy0qvOjjbQA01IljiwMymYBeR1Z4l+rQ4CUneSOHPjI5kbFYBz9vf/QzMY0x8Ojqy5zGfN+U6+4k0YMPqsnX215juxi0WBWD0CXuU/vIE31aqpVNya9a9o0yBCNAcT4BoTHzTgBPJ2mkQkphXFpKHyMTmCQcwWxS5Q1kkBqg0DEgCDJkIyBKdbaz8EuLHLK0adMmo+V9PHSLfe89P/iROpJgVGZkQhcDiHN48hXi0EQ2ZFVurmOvNPH4cZH01WPsAA+SGd3BTeXncxJt27Z9nyaJ7z23/yWAH+OpnMoKxLapzF6TD7930JRmkVI/eHKM7KneXs9D5WYcG8gf3hZK7OW8li4E0KVQ+qwGvtib/5wAy23GsPJrH/xCbLRUK7sQIAhGINARDIExNk5B6FKFAENZBISFFCPx0u07RiDpGCOQChkcOZDHQNaA0HfFyhciZUgh89IPxUDX5PfJMonnQ8c04eXtZwGYm7+eyu6DQ2Tk8xvIYbIpMzRcrU0UbMEx4ySywQ4u3SLBOHjKShKlxRN7pis/iWSTlrSxC51CQ9CnDZnT14WdWwgSH4zbLAzwTvl7PQ/BsdC7C6Rwazd9LG/lJzaMzXKgemI74x8bY/O0SMm/uVC9jRcKhLbyWjnwAw+UQQXhMAKBiFE1NkprZI4dB5fGPJyYJh7H+UYSMJ/Egh7QJDAImKdhCA7w2SqnScM88eFhsOT5pecpX+SXr/pIn3OvkSDpONcsZNqAMXCUOdXbbSVy6HiucwwPbJDy4zzPj+sWIuVyHtc4RiYgxQBbcUyjGMjX4mTxo4gY8OhCs0gxx0ICDzo4pTrJAl91pqhoC/xDwJfqyksRwLepT7Htni4E+NqE51jb6A98UKqDV6rrI+1jscsM34J/yi4EOJ5AoAKiUBqoOtmgSAMSHQgcnGcnANKe4lB5oU/QSI8ApvmLPRwblDqHIGQeuAY6fA0QYKluAsuTc5ICeozhZALALh4QfvBPx5iHbAZMpsCu24G0SDFOAjCGvBYMaEFTO6NbSh+6ysS4OxD5gY+s+iKdyzHNRBSy3U7x4O8uCdnE4xj7ExPojp2Apboywhc/0NDVW85sYDf+wB+7CfWz8usP7FFKrqZegy72hC6+lT4+MEbk3VxIkaYZH+XYp5gpyy4EEOaeFsVRlEAz+PLB5jlGJnhQyCIgZDzt0GdV0qgYGsPDCzoGD86nWTm57iqmc+Bv0GrUbFKJP8rsbUDqzHwSqj+2INDk60M8bQQe+lBUSBp1QAySiY58jisrEJ2Zb2LLk3H1Tcc4plNI4ZnOE48xZMGuJhGywD+1p3ZXb/Sz4SOLMPPEBadUFw867iYseoylsVDoGF70VG5lAnKNedpBn6AzNiu35+2JjfGzcQMs1UvZhmvmErq4OzPWjYtU3+Yel10ITKx0G67RNUb+HOMzr1AhQLlCDscgeXoEJM0HNQYtNAxWeOMcAwB8Ek1jmnjFoHTkjZN1HrQZBwce4qiv0AIANFlTeZDJYAbmHYysjNPkKc18IMpTWfI7Gq6b+MgsvjBjkvsDb+m502IHCB3sRsOX+pQdBD6WZmMQ2upsMWnOFhgayOHzBe2GXMqg3ZG93CKgjvgfetB2DH4cM15Ohwa+Rgeaz03yz2Wyi2X8KbsQGAgobtCpuMGjEzxHOYPGwMeJdq6lHf2gkQ9c+JggGsiAlCc4HsNfeaHv3FL2Y65Jh9zqYIFgTPqubvB0DviMG4AmEmPgWQyRQdlMAgIZOW1pQsIT3tK1wCgf1z3GbsqkXNoFCA3H4YVMyKI/GIOesutnbGBBtQgzlwY9aDfWtR9z3BHoS+2RESzxJ7Wh8oiOzbChPtJeyAXvcjt0jQX9j+7wwf5N0b+UDMyHB00ba6e8rurcHFh2IYBpfsuyO4KkCb8njpGFQDGhXHGU0WDD2BYanKgDNbY6Og988YB0HQYPugnFnGL05cN1E5fAoCmzPItBA0Pd0nnQh66Jro4kuQlXjC7j6m9x0l7M5xi5S3V0gX9qH+2SLzTipAmEDOAph7qCyy6xEH3sAD7yYQuKgclmYmEPxvAr18GHD/jyQE5aqfjJEJIXllIfQp+50KdpO+nLk3F5YUtkoytrKfvKv1zYIoUgNXgqkIqnY//oY5xrw8kYnAQgWJDP61Rzg0PD40jam2++mUFwmYNj/Sab1Fniyw/YGH3mSyMNIuamCZ3SzB8TUMiUBiw4nKc04cPqha603fGPustLGaBfqmtLofPyELm0g7jY0+KW4qNXiuMxMN8aKwTg61N0A1+7CFOaFg1k0LdcR1b4p/ZO4wF84k5e0sz7ONWlKcfSKRf+veV2k2JeEQPFcWCpjjH3ZMfw0McR9HxDNlYFjU6SpEFpMBiQ7gzA519pFg/n4WwqPgHjHMakz7aaVdmAKbcQoJu2RjfkQ0/406DP6glPZFQO8Jpid+jQ8wHMGHpKrxjM2we+bHGhpy2xk/ORE/trH/0FjrsSxrgVQh/xmAMv6SMfc7ANxyQl3WIDLjzBoduwHc84mEMsNxY/zitWCLCRMQQuNOEHdEHCD8jNGPHBTgefeQumbQpB+ZcLyy4ECKASQJVGOY/LFbIl51sQgMjo/60JKoLQAMERBBfOQS+cljYDSmggpDgcG7zcX+NYaOJQ+MCP+dIwqKFFSxM8Tze9TrAhHwmGvDQCGR3hgS7whD58kQHd07fwCtFnTHpeRyY/PMSY8peC8C5mH+97LaTaXznRC11s8Ecv6PlcJE0Q8VKIruDTtbV8wIMmcYBe4KozfPI+4Jo9lUv9Uh8yRoMmD7ShlzYXDHGAqS5NOU7plXNcdiHAUBourX4mjkb7PwUxDg6w6qeOTQsVRicYDRSTJ29c6KAnCUZig888dgc6nuDOOx364nNsIJpAjKVBBN9UVuVgLO3qB0z5an/oIitQWTm2YYNSXTwTlnPlwqfQaqyjl6sbc0k47CgdaELDwshxan8Ksc1YS3lS2NJ/s1F89TfzSER0TwuB9C3UaVLLQ/mwj2PKIV3PixUC5YAGctCIn7RxzTHo8B84fZbqWeg4pVPO8QcR0UwqrirpbgDF/F2DZpJtsWmpgw0oghoZbVRrVhedSdDw3gDOSIuI+ECcAr5P0jknGE1AcAyCUvSbUwgIKLv/Rsrbn5esGCMJUxmRE71254WdFJeATRMEG5Tq7oDgSzHQB9jH5Mp/qAabeNsFHv4yifAnNA444IDMBxRhaNPRM6WvL5hbrBCIbzyoG7+7wbHjyCFuPn64ZuykxZwxFwTkNtnB97Mz2oAxrlsw0cfFQv0KQea1RCu7ECBEqd81KCT8P3LMl3ngyUs1Jg5yEyg6JHUSzgcPJzKPoFRmnaPxDTbOCWgaq4wrqB+acuXhOnQpoATB7hQCApNuEbDIkajpNhkZ+T8/SZIGKEGmPdLfNVC3YpDfcPB2AN7Ir37KUgym9vF9D2ztuPaRvvaxkOkX9EZfiysxRzM5Ofar2rG18xhnbrFCwHVkwRfaE1n83Qp3GtgGm+pj5qU8UjuDyzmdhq0sCM7zQ19pIfMDX/jp/7odgRUT5Uk0DM6xlY0t2P/Jjizw16E4guAhcG0GNUXBYNDJrmjOx7nollZybGCASgvaOt8gJ2G1l4WhuYUAOenSQ08CFZjaXz9QKPSNRQOd5F8MGqjoQ6KRVDTlz04a+ZPaJ52nzQrZx4KtnZmnruJbTLCztFL7i1+oELhyI7q8iAljQzsCG4sfaJQqBKnO8oKu/qBwm/jGGddddFJZ8seNmL7Jl8veERgYCqiBNQxwT3eMKD+cpgE5ZtwgR0aaMnvMebHOHOlJBx2l4TxomfjCjFkjf5AP+gYFMsOTBCCQSXaLlkkhVH7wUjmhKR2OS3XmlerIhXw09UJnk6wR9Zp02SQGWZ05tth5nPK0CMhA2YTuUKBBU8d8fHINuvrT+alPmOuCAD68xReWoi+O8nMOPn7BvsokD30nzVIwU64F/uzxQoCSe7KnRjLgGWMlw8ga20TDZjhC53hcDEKrVCGAHolpMFvxGXd1MSgLQeVHTo5TOQ1KaBv4PpORPpCmnNjaAgjNxmwPv1Jd+eCBnukuhLFCOu3OWCZ88rzAc2BaCNLxtBBqF65re+wlTlMKAXMtQM5Tb3dEnLNapzuOtCCIj7051p/QNtYKFQJw4eHOLb0NZQw6pXpql3KO93gh0EB7Cmos6BPQVlMNyziGTBPMpNdJnheCzC9VCAwcaOlooM5vzDluBU1GVwXmsQW2wHBuYUjpG/zIaRByTHe76XlzoB+2gr9JpU6p7o7tLnTbjJ7YDB7QVVfooS9jFBhw5OtccVLIMTSVWd21kYkqLfBpKb66g2sMgEMB0Nf6uRh98MVJ54AP3dRH8lBGaZaCmdAt8GePFwIDfE9BjYQRTXYfiFldMbiOx2YGlE7CUcU69HWQOuAonasPPDdJ4eFxMdqMK396e8MKka78zodXStOgZZWyoCBbWgSVuRjUNsUg8rkSIgf80wd0ylYMNrY7QCeLmfowxjGJToeGTRyfE3Aub2Sjec6x+NrZJEvjATx00rZ5e2I77QNtdZI380vRZw4tlQ98ZYC+crmQcY0x+RaDGeEW+LPHC4FO2VNQG6QrCBXbaq7BNTr4OLKp8jC/VCHI00oTbnccifwGvEFOMSDYUh4GDbQNGnU1mJCZYx4KNqYntEt17GVRMqm0IQmT6lvouFgAO46syAktZM0XGv1LosqfB7kWeWyArnT4Q0N9wHcOfLQL0HiAL/g28dUZeRgDxxjTpszhmFaMfopTqBAou/LDBzy7vIrBjHkL/NnjhaAFZCxJIr1HxFg6C8e4M0gdDzEDpZhx03HmlioE0CNQ3MKLb6BxXqoT1AYidJTf/1oUos/tA0EPXRPCHQXjXFfmksZrwkWLUn7rblCX0q0p1/yXmXqmIsFTuzqOb2jQ5r9UQHXmmMYcE1qoLCQcx/oHfHThFgFc6MtT3dMioH/kk8oD3UL0xdFmnKcy4Ct3cdI1Jjj/R7Q9XghMuj0F80bSgBjaFTM1OvjKgkMa68w1qQg4Os7WuQYNdElet+jM8/mFq18hmMqvLIz5ICqlz6rov/6gn74o5LMFxu3Iqa7NhcqXv5dmHJrwKNW1WTGYJqTJSMJoX23CGPxMJnTEvyYQ59gmLaDYsLFCAM18S3VN6blLwCf6RTlTm3Oc6iWOsnMuTv5hZPrcA3835re87M093+OFoLmC7c68NHCo2BiaINEZOglIIzgwMHiNdeaUKgTKaWCAXygpUxnSY+Y7V9kMGIOYcYOTuQSPRcVzaZqUnGODlmjprguZlAuoHMWgchWDyIt9aa62+EQbMJ76V97YQDvDmx0RPGjYExo08eUPP46ZA/Q60GPmpTpzrv2FJqh8itFnrjjqxHkqA0XSgiZv53D+j2h7vBCoPNDqq8NxGMelug4qBnUIxkodqaFxuKsRYzSM3FRDEzgklEHH/ThOQ+aUt7rBA37CYgniOPIYdMjk23EWB+UUMs9gho90isFM4eRBFfQJZunpC/BcjZDHgPe68uBHfQoNZCmnYyc+0i1v5JA3/jRutBHX2bL7MXDmwz+fSPoDGsgJnrgeA3enQQe6aSwyHxkpZsYIdPENY8aJ9gMfXZWfHSS+A9dnJdqX3Qi7Apo2gb/XhRlCmX92zxIFmBlQGtcgRbm8oVHM7VVTv/e+AMu/GcIwqdO9CG+To5xCAB10Srfkn/rUp4LfEqDJWwj+7hQCbMIDKx0OTV9j5U1E7StEJ23clEJgUqf0fa2a3zegIYOJKG/GneP3MRDMabElyNG3nE6RZb76yZPAJ9DpJhFy0sBlDomX3h7xvMH4Uv7GCgG0mtqNNQuBiTh//vz3v8wVn/DcxhjARsqvbspP8qM/UHz1g7a21k/8d0UbZIZowT97vBBgPP89pNwYx4dE5QQRc3UOtDUcx1xriUIALRyI82ipY0kyC4AQvjoVqAzFIIHg6uBctr0+qJKvcHcLAbSg79YZfqxCJjz62AhYCx58TDIKH4mZ2pfi1RIttRv6kxRAVnj4I6tyeI3rNnyjXNqMomaScs3EY55FlGN6Mb84jg/T7riQa9hHesjNGOfYPJU/3TEov/q74jsPqKx8LkQ856FrfsxrzYEfWLQ5s5P7Hw2h8BiKMZrbOpxiVUzxmdPcjjE0iAEBT+inztI5XCMwTKxMwEb+4CRXQwOPRCCZ5C2Er7yAylAMgm+AYAMSlzGbcgqho42bSp858GAewcm8tACQNK40XGNFQw6OkUV5DFZk04/QKdWZU6pbUPwXKLyRF57Iqj0Y8z8k4KYyuKPBB2kMIJfn6qHt5OF4ORA76cOUDgVM+cFRRxZBGnJbsJCdYwq1dudYeuCnC4+7jIxQC/z5IOKaScwAVeC8oQkCkwRclEUJlNSxzm0OhLb0dTqqQAtn0zGsxuUacih3Y2qnwS9umkTyFsJXXkBlKAYJdh3Oisc5AUQj2ZRTCB1t3BT63jtrD+YQkCanOglTH8DLQCYIU/tybDFwbnMhKzh8U73ST0dyrE2RCVxX/zxPixL6EWupX5inrYv5Iz8OXzqy0ZlPx1fpDgXa+M4dAMeM0VP51UP5sSMyG2fgQxce4LJDQyZsDZ76EA9pHObtsLvne7wQKBCBlApOEUgNrKF3F2IYjZMGKgbVqfDRAciDEU0s5WsMsvr7MVr1SHkrA3zlBVSGYlAckj8NHldo5RRCBxvJpxhdx5Ul3bJyzWcC7nTgR7ARhK5u+oLgVmcC2FUcm2HzUp1kLNUtJujjLUA+WbmmzhYmeCOzdoGHMqa+1C/oDJ1CtBlvbocucgPTossYsspX+cVBRu1o3ALF12/IxRz1oGC4w071LPd4jxcCFVBZzjEAQa9xmusE5kEvzwOjcA2j0jGqhuUawWMANWZAAqxQI+jo8hbCV15AZSgGtUEaoCSe9lJOIXSc0xT64Kf25ZwAlV5etxRXPRizcICvriQxdMrp0lMni4HbaHj7PMkkQi7tk5efcXc7qX+0g3bWdsBSHfx8dzcAZK42g4f0hVxTF3VjTio/xdg4Ax9bQFu64PMQ1EInTGnk7bC75/+wQmAVU3icSjHAeKU6RinVCUoDU9oYASNKV0czRjNwm2os6Gt8q7grmbyF8DA4gMpQDOrwNEigYWCYsELomDRNoS++fFzt0R0edBOHMXiDSyBDn6JBp+lDbZANNvJHW5eCkIAvfICpLUwoimOKwxxtkia8flIs/YIdmC89bcdYqV7Mb45rV5PdXZ12l58PYS1myo986oEvkCuVh/n4jObtg/Y3RtS1HLjHC4EBgJAmKmMoq3NSxXf3GEPqbOnDS/rwwLgamGupTAYO+DoR51p8Ulzpp/JDF2cZENDHQeCCZ8FI6RvUJqV2MMHBVc7soJE/8jBQUnRoldOREf3QpVAh0D7FIL7BHqmdoYeu6K3NkVn60PLWCNm1D/M8Bx+8xpqxkaeB3xxDBv3na+nYFHnwI7JrW/gjBx0aym/xwl7QFQcZjRttgMyFfJLGA/JAxzELiXJiP45bqv2PLwQ6idVI4+skHG2AY3BxGTMgxRUWcgzPF3AcPAy+9KfSHWtuISDR0oBTBsahWaqjY6mOXsid3o9jB/iRLNqnGFQWoXbKQ4uFNk7xtc+eKAQkGvqn8pRKsBQvPUZG5Et3ulxP/VKoEMAbfsiR+j+lzTF40KfwaAfGW6qVTQlFaQquMjrPAAFHJzMGvjjObQ4sd0fAfAJa3gQ9xlaPxuTXKc5j5fBfOwS371BA30LgKiIP7eA5uDRtm50U+ZPHgb+JyhT1ai4kAHnqTRDDC93cgSijNioEkUcbM8+gRx4TkOSxge/OQPm1j7bmnJbXXRopbMqOAFmQwWcRnCMDuip/sYep6INcdu1MYrOKI6NxX6gQiC9kHrTQkXigWwTS+ACHnWVLtf/xhYBExVkmMo7FKUAS1uDG4DqUMXAMUJ0IpHE9hQSAONCEF1tQnJnSSR2dzs+IlfhDghGwQIoPjQRoiR2B97QkhkmlKBYHbVQIiivUDkLoE/z4IS1g4KNPap/UXlzXztIuBJVZX0mD5GIMP3gNOeAHpKUPSKWt3MplUXccuv5HjDFkNG4KFQLijHiwS0f6yuR4XmblKhf+jy8EGBBnYWic4SplwBjc4OlQ8dMA8h4OPFYPExLnc07AQTvvWB0ObE4hQBaKQJ6vq6oB1FyoHTIGu3QjubCFiauNCkHmsbLyb0ftRvKnunLsTgDa4Gvr1D7Kgt1p0GusNVYIUvqpTNKFR15+ngcoi3b1uY/nQHzNfHUpVAiMt1QO4jAfJyl951CEWqr9/4Vg17v9JLKJTUCwTcQhONKA06Gc67jUYQQ4SW8jgGwGiE6EtsGU8hWPefKVRiHou/XpboAixIeLeLoM7VIdeUp19MM2FjZsYCFgTPsUgxYpZEdGdxjoqe14XpKuvtBHdoqZdgam9mqqfRorBPiaJFMWIEXbr1lPfYhvfSiIPO4G0pef8CvX6NDGLsZNoUIgnome0lemlD54xhC7iZZq/+MLgQ73XzIYlgBnq5oGOuM6FOfiQBMY5+vA9CvFGQOHgHA+c2m+65/SAY9zOk3c7KTEn1K/K0EilOrwKNVhu3Tp0ox7utNhALql5io/CW2BVG/mUxho/kYB18RjnPmpffZEIUAHi45Fy+c6vkCWyu8Y8rnrwj7pW7IkqgUPHYybQoXAuEFPFp/UPtpiyZIlWXEChxihQFg4MgO2wJ//8YUAG7oa8ak8AoOmEwx0xnRoGqA+U8BJrCRAnEtxsFCwokoPGvIj8MAXrzmFwJUaOoV+V0L5i8FM2RJ/LJAmLajwdKUsRtdx5WNeSsv5JodJhX20M9dS++yJQoB8/29795bjNg5EYXgbyUP2v6hsZvA15h8UBNmOrdYwDyTAFM1LVfHUhZTanU6v2e6vO6Xf1J+uJY30Dn9ULVDhMPcT1M1D2b3EYdxjFP7WTv5+eSxfydfid5XenggoWHBpB4qsBgAbu1InAPHWB2CZGe+uvvqUnHS26ztScziIfoVjaHNKvO1BTYa+aeT0mKdnPFHjrcGntcaSqf2scJqCZPLTflXmfl/NPRuf6+9o20O4THueYVPSmcELd/0wLmlrh9fU+ZP9nfGnZ7KmniUP+pmTDvbYYwAdSpLak39z4KGNx3eV157yQlIbtZlptJy75YJUzUhzvo19WuOP3pUI8G6fyaA/Q6S3ttq+21/zViUCcp/V7BJ9NvdsbAbSHW34wTgc4Qvn7ME2fKog65d59HeaalsveATfDMCps3nHMsfP2tMf6Em/6QOSENwqeNCXDvbRTYB+bhHdHM2XECb/1lhnvvpd5TInG1NSLKMFRoGfwnNj87mq9e/S+KLxTp8CEw08Yxl0tus70q7E+hm0bE1PhrPf+CfvuAf91sab3E4vc8Mq7PSl21fjxT9XbgQvWL8cbk93UViES/ii5CnTv7J/2BrvZerko61KDFPvs83O8bN2jxX4eXmYP/jsEVGZiYCOdJ4vFdm/G4T5MwFM/tZIBmRYw/++q9yeCFJUdgYCMD0j9wzFqFdq/NEcQZshpuNo61My6GzXd6RfC/79nrcxRdbuGW3qzjhVsqrmrEoE5L5bJwav1s65d7Rh+CwRZJ9oSYAu+YNg6qdCAmmewlPneLxL3UJ66cfW/TQhf8NPcMNyBvbxIOE79Anz9P8T/u/qfJx/eyLoRE2wTSq9mZ2G+KQdXzTgtBmBUYBbsGaY5JhX+xG1RpWx8dHmVKhkEO9klQii5hmz72SQm8MaNxfN4bXT7avx4p9nN4L0eESTP8df7WnObU930YlLGKPkKeEaRMbgqAp66/uFoD7rM48dp97xeIf24jeK37ylkKU6zemU75DhQDGX39pH6+aeetR5xP8dXZ/NvT0REG5jHD/j9TzX5p4p+M7YHYlApuc0jDmdq1NlBsVZO6fLuGHwfyWCHPEuOgPpjna4hyOMZyLIv/Ip83qRpt3NzSltLRv2rsD41PkdX5tzexfBpvkgewt0MshEVcmI/B4xj/qXDPQ3p8P0jP/U40r79kSQ408l52YBdqVOvhlBH9A5TI5TMBvL+LNd35FmQBSvPudY+h7VZKKrEgHZz2q6H+dwXvXYf/x8xOu7P8O7QCKbvig5SglAW8B04lpXstYWfNkuiu/U94vhB/9MHdIrNm6S6U8u3enCV82dLwf7joLEUhIwp0SD55F/cq7S2xOBAFDQGahluasbmOsn/0DPcRhAnwLMAK39iFoznYhRM2yOWTBF9VfTY1UiIP/Taj+v1j7C7bv6yT/iDVv8ZykYzS9Jp/t8MedEjh869Zz83m2zb75urUDGm67pQS9t/mSsZKBd4EeNqfGct4HJ/109H82/PRE8Evzd/cBUfCnI+wegexnzKhEiKkU/AAAFWElEQVS80qPg/pQyPGd4lAg4Jt45ibZn2t52v9LPuK8TdwXO0VCOXhDMdxy9oXZikj+rsVl7CZZ+eLYe7REHzWkLSsne7e9KnQk1ufqUbI52ato3nQv29C+ZW1sbNmcFv6pxvHvJ1zO7/hm05vStwHAwhz3JhDHd3FjI7dAKK3N7VMZr9hu7u9yeCAL0Lgo0jpZRAOb/gf/169cX8BmCMRhCSZc/Adf6K5VMsh8lAk5ZkM2rLN04w6sgKhDb33T8kgwdVImxF2c/f/786mvsGf3x48fXXGv7aU/zJ4auuSWw7/q7FfbV3s4SwbxZulofv+JNz/ZK//BJ/3xhUraqzqt7f3yGzPytvznQNxHhYQ2/NI/u9J6J2jcEf//+/R905ianxwODZEy9ztr/MbnYuD0RvAqiDP0pBTID5yxOggJL/9+eCARywTxPEo5Kd/t7Vtt3fhAvTsi5jB+/r4Ffp1frnlEB0AlbAOGpz8nWT4Dioa8/UNr8T2l+YT29UbgoAkOx507smRgkUcVeW5seAhMfe1CTEzUW/q1xkgvayuQ/kzgefE+SV9ghXQV3PKyfJ7/+mWjxTJ9HNF2u0tsTQSD+X7RrX0ZGA5EOSpn1T8DLIT6lZJL/6EYwdehUcP0kbzrFI/w64QpGa3M6jmVdidENIZ7JLRFFBfGszcOHY5YQeuQwnmNbVyCm73zs+KSd/fCzHtWnwJTMSvsWbAVpY9bZezzCJD2fUXue+2WnyV8w06lkE0Z40gkmMIKxtfT2ueRlfW1rPD78qX7t7yq9PREA6FktSD+l87QjRyKYNwR98Qay8rclgvnLTt0Kevv9DDtjOY59tRbttyo5Z/M4qM+cmlO6xodF9OhQOaiEA9ucHKY+c+Ip12eOT6bAe6X/n47bZ0FsTfu1D4Ffnfrbk8RIP/oLrnikv89VezurZJOZ/0wZAptsvzkIW3zNUyVO+h2L+Y+KdWFMrzN9Zt8jPu/2354IAuUu2g1gnlbJKgj+5kRQEOUw80Tt9G4/Z9S+9SutjRferTEvrPT1Ysrc6rwJaKeb0yvnFEzJLCDJNkcSUKxrTkH2KS1R0BmP9pOcL4HjHzqo9O/UFqzpLwl2i5pBG98jhRkd7FvbPuGMv7YCy7BFsxuZFUm3W1s4SVR0RPGSIOgHuxLVUZ/j5/hfpbcngoLwEf3UQVpXpg4gcoxJAvqMJ9tn5dHpdwZmjvgpJZN8wTHlFqxk5iAFsnnT6dvbI4o/x1Ti0Uu7AiB+qOfjKf9s37OPPk48Tk5WTo9XySJ+qP0k95HO7/Rn48mTfvZMngASSOkwddemv1tiB0P6+2wPs5Ixa7LT98i7z26mkoV5rcE3ezQvGm59jiYnPlOXs3brrtLbE8Hc2Fn70wCb6wCUccv2nUjm/c2JoADuhHZ6KWdYnfXldNZ05YwHZ+OM1oVLCdJJZHzWEtWk9DMXjxy9xxa8cugcvmB0spU4wv8TSm57ZOcwsF+6JZ/O6aCvk9Y8Oll39JGwiOcZzX+SHT88yc9+1oZxAQv7Snpmm6krXvRV0pOu2e5Mr/rif5VeTgRXFdjrNwIbgfUI7ESw3gZbg43AcgR2Ilhugq3ARmA9AjsRrLfB1mAjsByBnQiWm2ArsBFYj8BOBOttsDXYCCxHYCeC5SbYCmwE1iOwE8F6G2wNNgLLEdiJYLkJtgIbgfUI7ESw3gZbg43AcgR2Ilhugq3ARmA9AjsRrLfB1mAjsByBnQiWm2ArsBFYj8BOBOttsDXYCCxHYCeC5SbYCmwE1iOwE8F6G2wNNgLLEdiJYLkJtgIbgfUI7ESw3gZbg43AcgT+ASNfuaBT2J+gAAAAAElFTkSuQmCC)
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