Grundkompetenz: AG 2.1, AG 4.1, FA 5.1, FA 5.3
Der Baumkronenpfad ist eine Brückenstrecke durch einen Teil des Schönbrunner Tiergartens.[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAnwAAAD+CAYAAACgCtisAAAgAElEQVR4Aey9iVtTV/e//f4nHYSEAAFEBEG0Ak4ICjjPSp2rpVq1g9rBPrbOUOeqYNXaarXWGeeW1nluVVCmooA/ZXgERDB8kzz3e50MkJAwCoh0cV0hyck5e691r31yPll777P/P+RPCAgBISAEhIAQEAJCoEMT+P86tHfinBAQAkJACAgBISAEhAAi+KQRCAEhIASEgBAQAkKggxMQwdfBAyzuCQEhIASEgBAQAkJABJ+0ASEgBISAEBACQkAIdHACIvg6eIDFPSEgBISAEBACQkAIiOCTNiAEhIAQEAJCQAgIgQ5OQARfBw+wuCcEhIAQEAJCQAgIARF80gaEgBAQAkJACAgBIdDBCYjg6+ABFveEgBAQAkJACAgBISCCT9qAEBACQkAICAEhIAQ6OAERfB08wOKeEBACQkAICAEhIATajeCrrKzkXloaN2/c5Pq1a/IQBtIGpA1IG5A2IG1A2sBr2wb+unWLf7KzMRqN7UJtvlLBd/vvv1m0YAED+vXH9a23TQ9PNw1e7h7yEAbSBqQNSBuQNiBtQNrAa9sG3FVqOr3xJlqNOyOHDWfdmjUUFBS8MvH3SgTfn3/8wZDoaNSdXIibNYt9P+/l/r17GAyGVwZCKhYCQkAICAEhIASEQEsSqKio4NrVqyRtTWRYzGCT7vng/ffJy81ryWoaVVabCr7y8nI+/ehjNCoV8atWU1hQ2CgjZSchIASEgBAQAkJACLzuBO7cucOMadNMWb/dP/7Ypu60meBT0ph9QkOJihxIRkZGmzoplQkBISAEhIAQEAJCoL0QOHrkCF28fZg358M2G+PXJoJPEXu9Q0KZOmky//d//9deeIsdQkAICAEhIASEgBB4JQQePnxIcGAQc2fPaRPR1+qCT6/XExURKWLvlTQnqVQICAEhIASEgBBorwRyc3MJ7hbI6pUrW93EVhd8axISeKd7MM+fP291Z6QCISAEhIAQEAJCQAi8TgSUW9G5ubjy919/tarZrSr4srOyTE5cunipVZ2QwoWAEBACQkAICAEh8LoS+GbJEvr36cv//ve/VnOhVQXf54sWMW3ylFYzXgoWAkJACAgBISAEhMDrTkDpBfX28OSPlJRWc6XVBN+zZ89M044vnD/fasZLwUJACAgBISAEhIAQ6AgEFn/xJZMmxraaK60m+I4cPkzP7t1bzXApWAgIASEgBISAEBACHYWAsgCFy5tvtdqch1YTfEp/tHI3afkTAkJACAgBISAEhIAQqJ+AMn5PWVr2yuXL9e/YzE9bTfCNGj7CtJRIM+2Sw4SAEBACQkAICAEh8K8iMHrECLZu3tIqPrea4Avp0ZNTJ0+2itFSqBAQAkJACAgBISAEOhqBj+fP5z+LF7eKW60m+LoHdCPl99abbdIqNKRQISAEhIAQEAJCQAi8IgLK3U0WLVjQKrW3muAL8g8QwdcqIZNChYAQEAJCQAgIgY5I4ItFn7HwUxF8HTG24pMQEAJCQAgIASEgBEwERPBJQxACQkAICAEhIASEQAcnIIKvgwdY3BMCQkAICAEhIASEgAg+aQNCQAgIASEgBISAEOjgBETwdfAAi3tCQAgIASEgBISAEBDBJ21ACAgBISAEhIAQEAIdnIAIvg4eYHFPCAgBISAEhIAQEAIi+KQNCAEhIASEgBAQAkKggxMQwdfBAyzuCQEhIASEgBAQAkJABJ+0ASEgBISAEBACQsCBwPXr15kxbRr9wnozavgIDvz6q8M+suH1ISCC7/WJlVgqBISAEBACQqBNCCjiTuOqMi3FdfjgIdZ++y1dvH1Y+Mmn/O9//2sTG6SSliUggq9leUppQkAICAEhIAReawJWsXc8OdnOj+ysLLr5dRXRZ0fl9Xkjgu/1iZVYKgSEgBAQAkKgVQnYir3Hjx/zyfyP6N+7D5MmxnLzxk1E9LUq/lYtXARfq+KVwoWAEBACQkAIvB4EbMVefl4ePbt3p9Mbb1Y/lC7eP1JSRPS9HuF0sFIEnwMS2SAEhIAQEAJC4N9FoCGxZxV+Ivpe33Yhgu/1jZ1YLgSEgBAQAkLgpQk0VuyJ6Htp1K+0ABF8rxT/K6xcX0FpyVOePlUeJZRVVGFsDXNq1VNSWkaFztAaNTW+TF05JaWVvGIrGm9vI/bUlz/hn6x8yvSN2NlhFwO6shLKdU5agFHHs5IynH3kUEwrbNCVl1BW2R4jpaf8STbZ+WWt4HUdReqf8s+N8/x29hzX0/J51gwsjW4nlnPEbImO8pIy2mUY6kDVMpsreJyRyoOnzQDdMga0SSlNFXsi+tokLK1SiQi+VsHa/gvV/f4JQW/VjM1QTmK1NpjB05Zz5P7zFnPAWT2d3uiEtlsMC37JRNdiNTW+oJKfxuMZtoxbVY0/pj3vWfrnEiI9VXj5RLLyejOc0t9nbYSG0Yn5DqLf8OA7hrkNYcuDZl709Okc25DE2YfNOb6E3eM19Ft6s53hL+XcknC8XT3wi1gO6Ek/upFtZx620o8IHRkHFjG8qwq1ux89ugfgo3LBJySWlSdyaazGd2gnhkw2j/Bj+Lr76NLWMqzLSLZmmeNkPUdM4Et+ItatN8tvNqNttWXkXmSRvHwKgwK90Wo60yvmA7ZcKnJo01aTjMXnSBjXh7BevQgbOJe9Gbb+GSk6Po/Qd+ZyosDJDyFrIa/5c3PFnoi+1zPwIvhez7i9tNUmIeY6kPgbTygsKKQgP4e75/ayYmwQGu+RJN6z/fJrfnW16ykseExe+iV2z+2Nu2Y0O3KbIwSab49ypPVi1jEEn46UjwLoPHU/Jc3F0pqCr/Iws7RBLDrXHGmvI/3EDn69Wthcz1rnOF0Kn/p7MX2/lXglR2ZoCV5wrhV+wBgpODqHHqoAYted49ELs0vG0vscWjgAb7dIEv5qzLnqpJ0YC7mQtJykPwvQP0khcfk2LhaZxY31HDHV9loIPj23V4Xj7jeedWdSycm8xr75ffDw+4Bka5jsWoOeewkD6RF3lGKjjjsrIwiafYJnln0M+fuZ2b0PX/5ZandUR3rzsmJPRN/r1xpE8L1+MWucxeV5/HXxMvcLnF9ozUIsmk3ZtQSX7jYJA1T4zTjEU2tNxjJyLiezJymJn5Jv8thaZFkWl87e4rGhgtyLB9h1/J7DBa+uegwZ64h2DeKz89bCoCL3Ekd2JbFl8zb2nUmj2Jq6qMjh6pkr5FRYDQJjwV1Sfr+Lcn2qyLnC2et56Apvc2LXVrZuP8SNJ1VgKCHz/CF+SNzOgQsPsB5uvZhVC76qR/x19iQpdwqhDp+MpVmc+3UHWzcnse90ao1t2NRfdJeTP25lS+Iefksvs8ssGEtzuJK8m+8Td3H8xuMaTibfbpD/ooi7x38k8bskfj6bTpklqaDLvcbZi1mUFNzm5E+JbNm6m5O3C81ZHWMZmReSiR+ppfOYeJJP3+SRJZx1sjQhrKLw7xPsTkxk18FzZBSlNZzhyyokPeUgP2yxt88ckQpyLx3mp8Tv2LJtL2fTikz2GZ/e4/yxZYxw68KktcmcuZFfE0C7V0bKci5zfHcS23Ylc7O6gVWRf/0MF9PNF93qONfD2b7Ycv45/ys7t2xh++4T3HpS09aU/epkVE9MjKWZXExezRitF+NXH+PM9TTunzvGiqEauk5cx3ElBpZ2W2fMAWN5Nhd+3UHi5m3sOX6TWqbVuKG7xte9XAlZkFItRqo/1Kfx7QAVQR+l1LQnZ+dqM9qJ9Rwx1eUg+OqKV7Vl5heVD7l2OoVUi4g0b3zOP5dPczmr3PzWWEbWn7+yc/Nmvv/5NGlF1pO+cedVdY3GQnaNVhP0cQ0LQ9YGhqhCWeo06/2cX6dombir2FSE7veP6TFwDelK9fosfhgfSNTya7RcX0e1pe3iRUuJPRF97SKcjTZCBF+jUb0+OxrzDzInWGWaSu+iHciqS47jjOoSYmAge0M0Gr+P+E3JJrxIY+ekIHwCBhI7JZYhQR74Rq/kUinoU+MZ6BnL0pWD6azyJnR+Mpav8WpYzuupIvenSXT1ncYBU3eJgdxfZtHT3Y/IsdOYMXEwIVpXguIOU2gEZ92KulNzCeg6n99eGHjw3RA8+oxmXFgIwyZOZkwvLW7BU/n03VDCYiYxfWIE3Vy0DNuYZrLLejEzCT5dJnvf60mX/gs4kad36lPh7URi/VX49BrBlEmj6e+rouvQeC6XKqrMUn/4BN4N7UnMhKlMiQ7CQzOINbfNmRdd2g6mBmrpHjmB6ROj6eHuzZCVl1BkjMk3dTixE0MJGTSB6e9GE6x2JzrhNsqoysffj8TdP5xBgQFEjp/K1BFh+Kl8GbnmGs/0GeycOYgwHxfUnUOIilli4lEfSyjjavwQuqj9iZownRlj+xPUfSBRAeq6u3RV7zBsSC8n9ikO5LJ/Zne8/MKZMG0a78b0xMclgNmHC6m6vZlpke/g+7Yr/iGRDF18qrpd1LzQcW/HZIK13YiaMIVJ0d3x8opm9UWFjm2XbsOca8pU7Mrj1/cC8ezSlzGTJjO2vz+e2iGsv1Vpill9jOqLSUXGDuIGhuDXyYWuvSIZ9lUSWyYPJNSrE25dQomKWczpCqg35rn7eb+bBv8+o5g6aTQRXTV0HryWvxTTav1VXV9Cb9e+rPq7RgjZ7qKvLKe80vJZXedqcdPbifUcMdVlJ/jqi5etZUDVTZaFqYn69n5Nt/PT/Uz3Cjb/0Ku8TdKEADTaEEa9O5mxfbqg6TyMhEulGBtxXtnXVsXNZX3QDljKddPvgyoe/DiJrl3jSK7+5Wp7RCVHZ/oyJumR6YdZZfIHdBu+lTyDjrQNw+g+dAOplmyq7VEd4XVLiz1noi/Az8+0QoesyNG+WowIvvYVjxawxsDDzUNRV9876S18Zh1zKNe5EDPvVnloBl6qWPaWGsjePAyfsM85X2JJOZVdY2WElshVt83iyEWF/8h4LhfWyhRaajTV87aW0KgRprUYRw0fQnRYAFpNbxaeeGLOgunvs26gB1HxqVg7p57um4K33zzOvmic4HNTDyLhlvn3uPHRdsaqOhG6IAWz1NVxcVEPNEM2m6yyXsxulabxw+TuBAxdXd2VZRKxtj4ZMtgUo6HL+O1kWS4AhkeHmR2oou/X19FZLkxuLv355rJFWBtySRxmGXtmyGLLUC39PjuHFeGza8uJ8gwn/rbeLPhcXBmw5LLFVgO5W4ZbxhiaBZ/bW/7M2Gsdq6Xn4d5pBKoGsjZNudDrODnbl27zzpizPA2w1KcmEKUK4L1f8iwXYT0P900n6C3XugVfnfaB/v4aot0H8m1qdeTYP1lLgNWeBrp0DVmbGaHtzZfnSiwZ0TKuL4/EO3w1d/SOgq9OzrVbeNEuJqi6MO+kRUUZn/Dr3EjGJNygqgFGJsFXj8+8OMnczl356Iw1Y1irS7eBmBfvGofG90NOVZu2n/kRo1jjJBP1bO8k3N1ncMSansZIwd9nOH7sGMmWx4lzGZQZ6z9Xm9pOrOeI5YSpHsNXf7xqB0FP2uoIPCISuG/RpCUHpuHX6yuuVRnI2BCDp/d4dmRaOBoecSQuCE3YN1zXmQV+o+OtVF1xk7UxWjTaYPqFBOClCuHTE4V2mfYaC40U7J1CcPTXnLp+jk0Tghn5XQZl11cS1W0cOzLKeXhuN5vXbmTX6QyHH7I15bxer1pL7NmKvj//+MN0nz4Rfe2vbYjga38xeWmLlC9VnzetEzI6EfbVVYcy6xN85fsm466ewoHyfL4foSZwYjx79+7jF9NjL5tm9EAzcJ1F8HVjYYr1wudQDaZ6OvVkesL37Ni+3fTYtmkVC0cFo/UdxdY7NscaKynMvMkfR3aybFwgap85nGyk4PMYtI5Mq+Z8cZr5fl7EHbOmTAw82DQYz6gNJgOVi5lH90nMH+2PSj2CxBzrgZaspUuNT8a8JEapao9B03MvPgL3fqu4q7dknvorr63+6zj9oR+B889izE9itMqfSat/tvDbxy8/b2RWsIrotZnVGb7Vd6oPxpy9VDKslgxf98+4aIMJ3SUWB6sYvjnXUfBZTXDK0kDu5mFoun3KH7bZC1N59WT41OE4t89aGRgrC8m6kcLRHUuZ2M0Fv9knzQK0XsFn5FHSCNy7xpKwx9q+9rFvw3v0Ug1ifUaxzaSN+jnXWGJ5VXWLbyM88Awew8I1P3LiajalNYjNOzllVJN1rdPnBgRfQzGvupVAlLuGXqMXsO7H41zLLq3JgNVypGT3BDSeszhqbcrouLRiKP1CQ+kTGkqonwZ1eDypVfWfqw6Cz1pPHQycC74XDcSr5jyyFm/I2sgwTQTfmn6clHJoehfCl/+F3pjHtuFqh3GP+rQEBqn6s/qOzpy5r+O8spZf81zGhf/0x6vzID7ZsJcjB7azdHx3PPzG80NG7cBbjjIWcmXHf5g3azZfbD7P4+I/Wdy7O9P35VKc/CHv9JrK2u0bmd2nG9N+flyHcKyxoL2/am2xJ6KvvbcAEMHX/mPUdAv1D0j+ajzhPUKInrGRy8WW7JxNSXULvipuLe2NptcSrlekkjDABe+eMYwZOcruMT5uu1nwqeufwVlnPaaJAioC5/8OVJL241yiu3UlNHo8Mz78goQFI+jcuX7B52/Tpes5+DuqJ5K+OMNHfr7MPWFVSWaxYCv4NG+oCJv5DfP6uBE06zBPLIhMGT4bn/R3VxOhimDNPfuLRvEP43APXMgFSybCrn50nJ5rFnym8jppCY2x5zdm5FjmbE9toLvaLPg8I741jy2yxs+QwfpINeEr/nYi+OpjqSd1VTgaRSDYumPIZP3Axs/SrelOV0KXyu4PBxHs14sh46Yx7/N4Fg33omujBJ+SARqA2vMdhtZqX2PGfMCO1CIHwVcXZysa22djSSpH1n/G+yPD6e7eCY3/UP5zPB9DM9ubeQiBMsyh/gxfQzEHIyV3D7Nx0UzGhHfD620VQUMWczLfUTDpLnzOO672grvGRwNZ66JwV+L5ov5z1VHw1ddOaiY2meqq7tKtaCBeto3KYqUxj+0jtQyKT6Oq9DDv+0WazyV9KvH91QxKuGcvdk2ZWWVsb4VJ8DU63qX7mOauZerPNhm9yqssCVHR95tGzPI2FnJybi9CPzxOofE5h6d1Zsz3ZpFXvHsivhP31IxprgnAa/OqrcSeiL723SRE8LXv+LSadXUJMWPRCeYFuhDy+SV0lLB/ipbgT2sGQisXq7L7KSRfzDELPreRbH/sKCithtdVD8Y8koa54jPzKMb87xnj1pX3DxZU/4quOPY+vhbBZ8zdyki3aDZZbhmh2FC4cyzufjVj+OwuDI0QfB49F3NFB88vL6G/KoC4Q+buZdPF2tan4j1M0vgw80BxtW1QwfmFwWhiNpFjsIhJW8FpI/go+YXp2iD7LKixjPSUY1zK0TVK8Gk6z+Koed6CGWvZcT7s4saEnQUOgq8hlsV7YtF6z+CQ7bimsmTmdFHV3aVb67YsNYLPyKPvR+LpN5PD1beuqCD5fe9GCj4o+WUKPoEL7DKOygzUP45dIueFY5euXZxtOVsbnOXZWJxKyonr1ZNYqMzhyNwQ3Lp/zoV/6m9v9Y8ZbVjw1R/zSopTf+fkdUV4mv8qcw4zv5cr73ymnHO1/l5c5j/KZx+ddZyFrc9k8xA3c4ZPX/+5WlvwNdROnGf4qhqIVy3bTW+NFOyOxXdAPFcPzCJo8EbM88SK+XmiO12mH8T292jFuYW8oxrM5pyqJgk+4+NtjFEF2s8GNypZTxU9Fp53ZpjNNgP5+6fTI+wz/lDGXRgL2DnKm5mHzGlVXfIHBAzbwiu4oYCNjc1/2dZiT0Rf82PV2keK4Gttwu20fLMQi2D5+Sz+yc7mn4y7XNi3mpm9tWh6zOWYKeVlpPhYHEFeMSz/Ld90Map6ksKSAVqiElKbIPhs6snOJvv+TU5umEIPFz/iDhViyFhPjGsAcQefmC6CutzfWRGjxVU7C1OvbMVR4ry8GZ+YjvIVXJl9mE/6qFG/hOCruQ9fGRcXh6Hxn8XhJ0ZHn4xFHI3zR9NrDr+mP8eIjrxTi4ny8Cb2h1wMljF8dQoRYzHJcQH4xiwjJV+5nFfxJOUrBmojWZNqGcNXj6BSJm24vaGm/8dHeaB0w+oLuLA0Gm+fyex9pAht+zF8DbE0Fh7ifT83+s4/SNZzI+jyOLUoHM836hnDV6d9BjLXRVnYKfJFR95vyximfRufWUdNseJFMrO9fHnv5wcUlzvIGYzFx5jt783Qpb+bbzlS9YQ/vhqAT0QCaU7G8NXJudZ5ZshNYoymG+/tzkBxk6pCzn/ZF02fFdy6V397a7rg03E8zpuu0/byoLgcXb0x15GbNBJtwHT2ZCjtCaoKzvFVHxX9V/xtn+0y+WSk+NQnhKm7MGrpMTJKzTJRV3CD3fP64+emtgi++s/VpraTugRf/fGqFQTr26cHeM83lJiIAMYkKeeM8mek+EgcgaoQ5u5PN8VIl3uKryI88R2/i9yGfkhZy7Y+61NZG+lG17EbuV6k1FDJP4fm00cVwLyTjpPWrIcpz/qsHUwMiGDFVeuUMx0p84OIWp2KXrnH4pooguefNbdnDOSfXMMXnyVimldkW1A7fP2qxJ6IvnbYGJAu3fYZlTawyiT4bG687NJJg2/QAGI/TeSi9b4Sih3GIi6umUgvzdu4uWvRunrRP24X9yot491ss2FO7K5dj+mL4E0XvAOj+TDxmnkig/ERxxeE49NJhbeXFm//ESxJXMwQtQu+sw7xnApurhtJQCcXPD098OgcxZerPiDUv/kZvhrBB5Se48sQFUHvHXQUfAqCp5f5bkoo3p1c0bqrUKm7M27FWR6brlwNZPhMCC+ybmIPtG+54qV1R6Pty5xdaaYLSP3iwtyl6xE2ky+nhtLZ3Ysu7q5o/Eew9PQjy4XTXvDRIEsjRefimRDkhquLBz7uHgSP+ZgZYW7NyPCB8VEyi/prUbtq8fX0JGj4V2xbHI1HJ2/iDj43z5aNC8G701toYvc6aSFGii+s4d1gd7M9GhWd+3zAT2mKtG9+hg+ec3v7LAZ4q9B4euPtqgxNGE/Cn4UYG2BU5uRm0zVZTWcZPiVD9AFhni64uL7LvjLltKk75jz/mx2z+tPF1dzeNUqX//h4zilT0p3+6ck7s5opIVrUndzx9dHi7qqlz6S1pJz5mvAISxd9PedqbcHXUDt5ZLk5ucmc6i5dZWJOffFyajzKzPCTs/1wdR/PT7a9AcanXNk4hd6eLrhpPNC87UaP0Sv4zXRiNXxe1a6tMv1XvhgWgKaTGz4eKtTafsRtvsLTurAqBehS2Tg0gGFr79plV6vSkpjYM4QR44cRFjaFn0z3a1EO0HN7RV/ULiPZbvrBVduK9vP+VYs9EX3tpy1YLZEMn5WEPNdLwFhRyD/pmeSX6Gy6Nus9pIkfGqksfEDWw2LLF6+RZ/lZPHxqnf0JuuKHpN/Pobh6AHsTq3jJ3XXFD0i/n02BKWXU1MKMVBRkk56RR0mj1ymzjOEbEI8y5l1fmk9W5qNGLJ/WMEsM5TzOvE9GfpmTrFITfTNWUvQgi4fFlgyesYxHmQ+xCV3DBRorKMxOJzOvpGWXcdOV8igrnczcYirtLvyNYNSw1Q3sUX/MdaX5ZKdnkldc2chzSkdR5t9cv3mfJxV2ztjZ0fhz9SUYtGS8XhTzIP0+/xSYM552zjT5jRHd0zyys59Q7mRIYe3ijAV/cfr49ep7J9p9Xql852VR+Iq+b+xsaeKb9iL2RPQ1MXCtvLsIvlYGLMULgeYTsBd8zS9HjhQCQuDfQuDggQNoXFWm2/bk5+XxTvdg0z1ZreLrVT0rNsktW15tKxTB92r5S+1CoB4CRooPL2B43C7+MQ98qmdf+UgICIF/O4GXFntvehM9bz0/79/HjmVT6K223t7L+uxG//cTSErayGeDfXAx3e+1E30+2sb6ib6W99Z9HZ9F9L3aFiqC79Xyl9qFgBAQAkJACLw0gZcWe2+8iWbcLlLPLmFwUE/Gb77JleW9ca2+if+buHSZz5EjnxConcKe48vo+9abaAYs5+SBjwmxGRNeXxZRRN9Lh7rZBYjgazY6OVAICAEhIASEwKsn0BJiTxFp2in7uPPzFHzf7ESvxSlcXd0flY3gcw1Zxskf30XjEsOmExsZ5jWU9af2EOf/VpO6jUX0vZo2I4Lv1XCXWoWAEBACQkAIvDSBlhJ7pqycdgzb7v+X/LQMCp6c5+t+5jXZqzN2LuEsPXSM7VsOc/zbWKYlneGH90Yy79skvl/7MTFax27c6mNthKOyTUTfS4e+yQWI4Gsysg5ygL6C0pKnPH2qPEooq6hq5EzBJvpfq56S0jIqdK94QJqunJLSyuob3zbRo3a5u778Cf9k5TdiBq8z8w3oykoodzp7WEd5SRmVrzhkzqxu/Dajyb9nL+qe2drosixtp9H7t9qOBipLSyh7vQPTanT+LQW3qNh7w5WY9be5tnoAnm+8RdfY3dz/43N6VC/TaRVzKny07gRO+4mz342i78KjHJrThS6zfuHEl8F2XcB1iT3rdhF9bdtSRfC1Le92U5uz++OptcEMnracI/eft5idzurp9EYntN1iWPBLpt29r1qs0gYKst5U9lbNHV8aOKJ9f1z65xIiPVV4+USy8noznDItc+d8aTXs7sHWvjnUaZ3hAVsGaxj23YOXFvnWtlNnXW31QdVNloapiFh59+Vvq9NWNks9LUqgZcWeIuZUjP8hjeQPfEzds66hK7h2dQV9nIzNc+0+lwOnEhis7kT4qhNsH61CMzKJk/Hhdl3AVmFX37OIvhZtFvUWJoKvXjwd90OTEHMdSPyNJxQWFFKQn8Pdc3tZMTYIjfdIEu81Qzg4wVW7nsKCx+SlX2L33N64a0az4xWsV2S9aHcMwacj5aMAOk/d77j0lpN4ON0kgs8pFmcbdfdPsnP/VVK2RyAAACAASURBVGcfte02EXxty7ud1dbyYs+cvXML/YgD12+ScvQ4F29dZMtEP8eZt2+HsfjYCb7p62oShppBK0k+ksS2w0dYObBWF3Ctbty6hJ+IvrZpYCL42oZz29dSnsdfFy9zv8BxOSvFGLMQi2aTeWHLGvt0t0kYoMJvxqGaxcKNZeRcTmZPUhI/Jd/ksbXIsiwunb3FY0MFuRcPsOv4PYeMXV31GDLWEe2qLJJuLQwqci9xZFcSWzZvY9+ZNIqtN06tyOHqmSvkVNSYaSy4S8rvdykyQkXOFc5ez0NXeJsTu7aydfshbjypAkMJmecP8UPidg5ceID1cAfBV/WIv86eJOVOIdThk7E0i3O/7mDr5iT2nU6tsQ2b+ovucvLHrWxJ3MNv6WV2XeTG0hyuJO/m+8RdHL/xuIaTybcb5L8o4u7xH0n8Lomfz6ZTZul91OVe4+zFLEoKbnPyp0S2bN3NyduF5qyOsYzMC8nEj9TSeUw8yadvVq8dWydLE8IqCv8+we7ERHYdPEdGURprIxqb4avi0a2znPrtLoWWbt4662rAt+q41cOtJuLKKyPl2ec5sGMrW7ft5uTNJzUclY8Nxdw7s5fvNyfy44HzZFtXyqrO8GVRdD+FQzu2sm3PWdJLFcg6cq+fNsXe2uFreHSTM6euk2dtmsZS0s+f5nqujqq8G5y9kG4yq1H2VxVy99QeU9yTrz6k7MnfpJy/X+NWXecWFeRcOcONPB3Fd06we8t3NjYr67FJhq8G4r/r1bk//6y+z97/+3//r8n32esbFsaGdevx9fKuY6KFK96+vmidZPZMgk3TnfAQ+1uwuKi0+KiaNnGjtvhTRN/5c+fIzsoiwM+P1StX/rsC2wbeiuBrA8htXYUx/yBzgs2/tFy0A1l1yXEtybqEGBjI3hCNxu8jflPWbn2Rxs5JQfgEDCR2SixDgjzwjV7JpVLL0mqesSxdOZjOKm9C5ydjvcZafXZeTxW5P02iq+80DhQol1kDub/Moqe7H5FjpzFj4mBCtK4ExR1GWW2q/uXHzEswefQZzbiwEIZNnMyYXlrcgqfy6buhhMVMYvrECLq5aBm2Mc1klp3g02Wy972edOm/gBN5evPSarV8KrydSKy/Cp9eI5gyaTT9fVV0HRrPZZNgsNQfPoF3Q3sSM2EqU6KD8NAMYs1tc5ZUl7aDqYFaukdOYPrEaHq4ezNk5SVKFc+VZbzU4cRODCVk0ASmvxtNsNqd6ITbKKMqlbV03f3DGRQYQOT4qUwdEYafypeRa67xTJ/BzpmDCPNxQd05hKiYJfz2on6WyjJXV+OH0EXtT9SE6cwY25+g7gOJClA7XVrNvktXR+aemYR4h7MoOQ99Y+JWp28Nc7O2IfOzgbz9Mwl286P/yMlMHRVOoJsXw9beMq9xWn6DDSP98PAbwMRp05gY7odnt6nszlSEv9KlqyY0ZiihPaKInTqJIYFuaAcmcKeqihtLQnGPWk+WScDqub2yH+q3gvnyolnxGQt3865nCF9fq8LadpQ2++C7IXjUE3fKb7B+RBc8/QcyafpUxvQKIDK6H94hS8wu1XNumW12I3LCRPo42Kys8JVKwgA1MWszX7qb2p6zvGvvBIYNHlIthqZOmlyHaLOOt3N8HjQgwuRieXk569eupbPWq8ll1BZrLfW+i7cPuhc6Lpw/j4fajWdljteu9h6f9myfCL72HJ1m2Wbg4eahqKtT6W/hM+uYQ0nOhZh5t8pDM/BSxbK31ED25mH4hH3O+RJL/qPsGisjtESuum0WRy4q/EfGc9ma7qlVk6met7WERo1g1HDlMYTosAC0mt4sPPHEnAXT32fdQA+i4lOxdiQ/3TcFb795nH3ROMHnph5Ewi3z2EPjo+2MVXUidEEK5q8LHRcX9UAzZLPJOutF+1ZpGj9M7k7A0NVcVFKFputoPANtfTJksClGQ5fx28lSBLAi0h4dZnagir5fX0dnufC7ufTnm8uWLydDLonDNPRbehMMWWwZqqXfZ+fM6wYDz64tJ8oznPjberPgc3FlwJLLFlsN5G4ZjnmtX7Pgc3vLnxl7cy1jtfQ83DuNQNVA1irrrVFrLd0GWOpTE4hSBfDeL4pgU/70PNw3naC3XBsQfGXc2zGFHn7DiL9Q1Pi41embWTDVyc1km+2/In4aq6LrnJOWReyNPNk/l6iRCdyo0pO+LhoP/5kcemJpp/pskkZ64j/7pEXwueLWbwlXFJWtxDB3KyPderP8ZhVVV78iTDOanco6r8Y8vh8ZQJ/QAKLi75kYlR+ZRdd3FnO1CgfBV7f9Zps8A+M4al50Gcqus2KAClUvRfDVf26ZBV/dNmN8zPaRHkzcVWwLSV7/Cwi4vvU2t//+2+SpupNLk8WaVfBZUT179oy1336Lj1bb5LJaSujZlnP92jWTaV7uHly9csVqpjy3AAERfC0Asb0VUXJgGj7VM6s6EfaV45ij+gRf+b7JuKuncKA8n+9HqAmcGM/evfv4xfTYy6YZPdAMXGcRfN1YmGLt+3IkYaqnU0+mJ3zPju3bTY9tm1axcFQwWt9RbL1jc6yxksLMm/xxZCfLxgWi9pnDyUYKPo9B68i0ziR9cZr5fl7EHbMugmngwabBeEZtMBmoCD6P7pOYP9oflXoEiTnWAy1ZS5can4x5SYxSBbHonI2d6LkXH4F7v1Xc1VsyPf2V11b/dZz+0I/A+Wcx5icxWuXPpNU/W/jt45efNzIrWEW0kp2xZPhW36k+GN2puQR0VTKslgxf98+wJJvMFegusThYxfDNuY6Cz2qCU5YGcjcPQ9PtU/6wiFfT7qby6snwqYOZMncMgW+7MWpLjmNGyWldNdlL577Vz83qRs1zFX/FR+Ll1oNxn65hd/JV/im1MDPms22EiuBPUuy6eA2VZZSU6yyCz81+gsOLU8zz8+eTszrQXWZxTy+m7y/BWHqQmf5T2PHDDAJGb+exUccfn3QnZNFFU9nWHwvVGb464q4Ix6ThKt75zHyc2Q9zO3RXBJ+x/nPLmuGzm5RhazMVHJoWwAfHbNtlDS151XEJeHt4kvJ7islB/y5+TRZptQWflZSSTfs2PgFvz1cr/DIzMlFEqJuLK3fu3LGaJ88tQEAEXwtAbHdF6B+Q/NV4wnuEED1jI5eLLVkPG0PrFnxV3FraG02vJVyvULqNXPDuGcOYkaPsHuPjtpsFn3oIWx7UCCabKkwv66zHNFFAReD834FK0n6cS3S3roRGj2fGh1+QsGAEnTvXL/j8u843dWEqXWueg7+j2owXZ/jIz5e5J6wXQ7O4sBV8mjdUhM38hnl93AiadZjqxFBqPANtfNLfXU2EKoI192oEmeJY8Q/jcA9cyAWdpWzb+tFxeq5Z8OmV8jppCY2x5zdm5FjmbE9toLvaspZuxLek21ZvyGB9pJrwFcqv/FoZvnpZ6kldFY4mPJ5Uu/IyWT+wnjF8rm+i6TWLpXP64uE/iyNWWPXW1bjMrF3cbLjVbkem98YSUg9v4Iv3RhEZ4IHKNYDhi0/wSHeX1f1VRK5OtWQtax1dPYbPZpbui1PM9/PnY0XwoWSAexL44UlKzy0gdPhmcvK3M87vPQ4X32Bp7x7Vgr+24KvTfv1d4p3YVLxrHB6K4DN1ydZ9bpkFX62ZxbVsTlkwjK/sfgnU8lvedkgCCz9dwIihw6iqqmLzpk0tJvissMpKy4hftRpFWNpm3tri9cRx401mrFi2jLBeIVaT5LmFCIjgayGQr1sxdQkxY9EJ5gW6EPL5JXSUsH+KluBPbTMnRsrup5B8Mccs+NxGsl3pCqvjr656TBmQYa74zDyKMf97xrh15f2DBdUTHSqOvY+vRfAZTd1v0WwyD7IyDd4v3DkWd7/mCz6Pnou5ooPnl5fQXxVA3CFz97JJoNn6VLyHSRofZh4orrYNKji/MBhNzCZyDPULPkp+Ybo2yD4LaiwjPeUYl3J0jRJ8ms6zOGrpijRhLjvOh13cmLCzwEHwNcSyeE8sWu8ZHHpqE7CyZOZ0UdXdpat+h68um2DxTW91tUBuqK7GjL2sUzDZmGd6aSwm7beTXM+3/rioJOfwXMJcgvnyfC4/jHaja9wxnlUfpydjzyJmrz1nyfDVJ55Ad24BvXouZOfySCKW3qRKf481kT34dGc8g7t/QoolWdxowWcsYvcEd3ynHbSZPV1ByidBuJm6dOs/txoWfEaeXDnNdWWQq/z9qwgo905VJl5Mjn0XnU7H4s+/aJIwqyvDVxtiaWkpq1euajPhNzQmxpTZ27h+A1qNO7du3qxtkrx/SQIi+F4S4Ot6uFmIRbD8fBb/ZGfzT8ZdLuxbzczeWjQ95nLMlMUxUnwsjiCvGJb/lm/q0qp6ksKSAVqiElKbIPhs6snOJvv+TU5umEIPFz/iDhViyFhPjGsAcQefmLoLdbm/syJGi6t2FqZe2YqjxHl5Mz4x3TR+qzL7MJ/0UaN+CcFnHiOnRK+Mi4vD0PjP4vATo6NPxiKOxvmj6TWHX9OfY0RH3qnFRHl4E/tDLgbLGL46hYuxmOS4AHxjlpGSr2STqniS8hUDtZGsSbWM4XOzz5Kau3QVMWsZw/eGmv4fH+WB0g2rL+DC0mi8fSaz95FysbfP8DXE0lh4iPf93Og7/yBZz42gy+PUonA832hoDJ95dOWzC4vpqwjkg0/4vwbi1qKCz5DL9yPd6T5tNxmK3VRReG4x/VV9WfV3Ffk/xeLrEcmS356YsnzPM/YwK0jLmMTsRgk+KlNY2D2Id7oHmbt50XHp814Ed+9Oj/lnHGZ4W7t064w7RgoPziRAE84Xxx9QYaggJ/lzorSuqE2Cr/5zq0HBp09l35JFLN1bR1bzdf1iErsbRUC5lVZzRV9jBZ/VkJKSElatWIEypq61sny1xd61q47DkKz2yHPzCYjgaz671/pIk+CzmXbv0kmDb9AAYj9N5OIjm/4+YxEX10ykl+Zt3Ny1aF296B+3i3uVlvFuttkwJ0Rq12P6wnjTBe/AaD5MvGaeyGB8xPEF4fh0UuHtpcXbfwRLEhczRO2C76xDPKeCm+tGEtDJBU9PDzw6R/Hlqg8I9W9+hq9G8AGl5/gyREXQewcdBZ+ST3x6me+mhOLdyRWtuwqVujvjVpzFPBa/gQyfcnzRRdZN7IH2LVe8tO5otH2ZsyvNJF7rF0VmwecRNpMvp4bS2d2LLu6uaPxHsPT0I8tYOnvBR4MsjRSdi2dCkBuuLh74uHsQPOZjZoS51Z3hs0xuMIe3jPOfhaJRJkg8yqs3bmXK+MQ6xWzD3Go3p+d/byeunw8alRZfTxVqz3eIXf2n6dY8GB5x+uuRdFcpjLVoXLoQs+Ag/yhNucEuXaWmSn6fH4CrxxT2l5hrfp78AX5v+zHvlHkykLK10Rk+ZWfl3Fk7hd5aF1zedqNr3+msXzoB77Cl5grqObcatPnFcWZr38Zv9km7cYvmguX/v4FAc0VfUwWflaWSWVS6WpXsW0sKPxF7VsKt/yyCr/UZd4gajBWF/JOeSX6JzqZrsyVdM1JZ+ICsh8WWC5iRZ/lZPHxqnbcLuuKHpN/Podg6F6Mlq29EWbriB6Tfz6bAlGFqxAF2uxipKMgmPSOPEqdLmNntbHljGcM3IB5lQq6+NJ+szEeNWD6tYZYYynmceZ+M/DLn496cmeN0WyPqcnpcczfqKM3PMnEsrnTszjSUPyYrI5uCcpsfLc2t6iWPK89L5Xb2U4zK8oKlynmj587K/ngMT7IrufXPLbvq5E0HItAc0ddcwWfF9t///pdl3yzF003z0sJPxJ6Vats8i+BrG85SixBoBgF7wdeMAuSQV0bAyKMfJ+DjP571Z9J4Ul5OXkoCY7p4MW77g1dmlVTc8Qg0VfS9rOCzEiwuLmbpkq+bLfxE7FlJtt2zCL62Yy01CYEmEjBSfHgBw+N28Y91rkITS5DdXyEBwyNS1s9hVFgAXbReBPYayuz153gisXyFQemYVTdF9LWU4LOSLC4q4uv//Md0o+TGdvWK2LPSa9tnEXxty1tqEwJCQAgIASHQ4gQaK/paWvBZHSkqLOQ/ixfjrlLX29UrYs9KrO2fRfC1PXOpUQgIASEgBIRAixNojOhrLcFndUax4asvnQs/EXtWSq/mWQTfq+EutQoBISAEhIAQaHECDYk+ZWk25RYrrf1QVsqw7eK1ir1NGzaaZvrKrVdaPPQNFiiCr0FEHXQHZeZgyVOUqfZPn5ZQVlHlfPatrpyS0lc0LbbR6HWUl5RR2Rpjo17Cf31FKSVlzmY1V/G8tITyRs7WNb4oq6OcRgNq9I5Gxd8yZYXgtv0zKD6WO2PVinbon/LPjfP8dvYc19PyedbWTptcM6Arq6stGNGVl/DsxSsxrBXBv0zReipKSygpeV697rZ9aWZmT0vK0P2LsVlF35R3JzXr5sy2Qq0lXovYs2+lr+qdCL5XRf4V1+vs/nhqbTCDpy3nyH1n9x17xQbXV33JT8Ta3Suuvp2b9lnNfdeadpxyQ+SUjwPQRG90nHChLJHlq2LM948ther4Y1EI/jMP8vzF7yzq4ccHh6wi29n96ppqi/3+xoJdTOkSzvJrOh7tnIj/gBXcNN395lXNCtaT/m0kniOSMN1L2t7cVninI+PAIoZ3VaF296NH9wB8VC74hMSy8kTuS96mponmmpYYrGNZO+Njto/UMLCuJeMaUZU+/SibEs/wsD7xY8hk8wg/hq+7jy5tLcO6jGRr9ao2DVWiJ/3oRradedjwjwTTzbN9mLa3zL5QfR6nVk5mYDcvtB5dCBs2nx9u1drHekSVso7023Tq1JeVfzm59U7Fb3waoHw+gAS79QOtBdR61qdzbEMSZ+sFVOuY1+RtexF9IvbaT4MRwdd+YtGmlphX2hhI/I0nKF8MBfk53D23lxVjg9B4jyTxnvn+d7r7J9m5v53f9Vx3n5M79nOtwPG+bC8LtW0En57MI9+y8ue/0ekzOBK/nF9uW+8/2PKCj7Jr/LR8I6ce6im7uouVG0+RZxIE/wbBZ6Tg6Bx6qAKIXXeOR8rqJco9kkvvc2jhALzdIkn4y8r+ZVtPI45vZcFXefg9fAIXcN66rLQzk4yFXEhaTtKfBeifpJC4fBsXixp7LlVyZIaW4AXn6rwBtL4kl3tXktn6YTjeb6qY/LOtmNOTviEGL+9hrEi+zT8Zl/hhVi/cu83llOUG2HYmmwRfJzQqDaFfKMs/2v+VHYvDX6VG01jBV3mYWdqg6rWS7Ut7/d+9atEnYq99tSERfO0rHi1nTXkef128zP2C2l+J5irMgi+aTdm1fvrrbpMwQIXfjEMoy61W5d3g7IX0GruMZeRcTmZPUhI/Jd/ksfPioSKHq2dukP+ikDvJu0jcvJ3D159QhYGSjPMc3pHEjl8v8KCipmhljdrcS4f5KfE7tmzby9m0InO2xVhEWspJfv+7oCaLoM/n1plTXH1QqRjJjTMXSC81tmy9disrWOxsrP9NyvApgiOLc7/uYOvmJPadTqW4OnlRI/iyC+/zx4GdJCbu4bf0MrsueGNpDleSd/N94i6O33jscCGspmyKyxVybLgbC+6S8vtdiow1gu/Ok9uc/CmRLVt3c/J2Ya2sl5GynMsc353Etl3J3LRpBM8yL/HbrccYKnK5dOAHTt5z3kCqCv7m5E9JJO08xPmMIu7VzvDVxblZ7arae9Bd4+teroQsSLFZd9fyuT6NbweoCPrIvHa0oy9Pyblyhqt28Aq5+1sKd01r2laYPr+Rp6P4zgl2b/mObXvOmttltQlVFP59gt2Jiew6eI6MojTWRjSU4bvNk9sn2L11M0m7T3KnsLpxmEt1ysrI03vnSF42DE/fWNYnn+Zmvh5Hn8zxqci9xJFdSWzZvI19Z9Js2p9SRRVFd07xs3LOH7vKw9In3P7tPOn/Leb+uWOsGKqh68R1HD99E9tFeszGGXi4czp93+lF6DuBdHapJfj0t1ndV0X/5X/VtLHifUzXannvgK0wtAA0CT41w6ZNoXvgx/xu046VlU32T+1M2JSpRKrsM3zOzg/j03ucP7aMEW5dmLQ2mTM38i2VKOej8/OpLn7VB7bDF7VF35effW43tq4lumydlTEkOtq0Nq6M2Ws/jUIEX/uJRYtZYsw/yJxglemkdtEOZNUlxy/OOgUfBrI3RKPx+4jfXtguJQW8SGPnpCB8AgYSOyWWIUEe+Eav5FKpo+mmJcPUfRk7OoywwbFMHRmCt0sPpn80iT69BjNl6kQG+bniPXgj95TrlyGX/TO74+UXzoRp03g3pic+LgHMPlxoWr82dcMwfLxGsz1T2bmSv+Kj8Amey3Elq2fTpduy9Tbf/6Z06VbeTiTWX4VPrxFMmTSa/r4qug6N57IiYC1r9br3HMzwd3oSM2EqU6KD8NAMYo0lC6hL28HUQC3dIycwfWI0Pdy9GbLyEk7CQmOWcnP3D2dQYACR46cydUQYfipfRq65ZhFIOu7tmEywthtRE6YwKbo7Xl7RrL6o1KYnbfUAvCd+w+oYLzRe7/BJcrlD4yi7ksAwbzcCIybw3rRxDPDvTlREN9ytXbr1tLMmx7dW7VXXl9DbVVl/t5ZosuynryynvFL5zIkvR9PYMljDsO8e1PzwULrn/fz5+KzOsoSbG5ETJtKnRxSxUycxJNAN7cAE7piShmVcjR9CF7U/UROmM2Nsf4K6DyQqQO18WTtTl66aoPAIgv3DiZ06mdFhndF0Hs66a5Zzuk5Weu5snkJUT29ULn70jojhP6fKnMSnlNxfZtHT3Y/IsdOYMXEwIVpXguIOY9KwlHNj7Qi6ugUQNXEG00eGEBQeTbhnKN9cucGWyQMJ9eqEW5dQomIWc9pWgNViT9V1vumlsc/wVRxgusab2cnWIQwK+vusjVAzYOXd2iWARfCN2XKYL3p2Zfaxmu824+NdTNSGs+pwPFE2gq+u86P49mamRb6D79uu+IdEMnTxKVN9de1f6qxNOGnfjka/+i2K6OsTGop1TF9riz4Re68+5s4sEMHnjMprvc3Aw81DUb/xpuVX3Fv4zDrm4FHdgg8qD83ASxXL3lJbwWMge/MwfMI+53yJpbun7BorI7RErrrtUL7pwuziRvTqW5hGBBofsWOUGlXPBfxhUSK6C5/RSzWULQ8N6O+vIdp9IN+mWrvTnrJ/spaAeWfM2Sp9Nj9O9MNnxGZuXfiGCG0/vr5g+bKvLfhasN6aLt2m+W8VfCrPdxg8fASjbB/D+tPNxdU8hs+QwaYYDV3GbyfL0r1oeHSY2YEq+n59HWX6xIPvhuDm0p9vLlv8NeSSOExDv6U3wZDFlqFa+n12zrwuMfDs2nKiPMOJv+0oahoj+Nze8mfGXutYNj0P904jUDWQtWl6DFmbGaHtzZfnSiwZxjKuL4/EO3w1d/RmkeTm6seY1ZcoqpU8NjUSfSprItQETfuFPIt5+of7eM//bdxMgq9+zk1tV7Ub5rO9k3B3n8GRamFipODvMxw/doxky+PEuQzKjE58aWhNXtPnrrj1W8IVSxs35G5lpGV8qT41gShVAO/9kmfJZul5uG86QW+51iP4XHHtOo1fcqth8cs0f9wjv+Wevn5Wiu/2XbpOfNLfZ91AD6LiU6snQTzdNwVvv3mcfQH69PUMcQti9pHHFpFbxvVlEWjeDuGb68q52nCXbnUMnAg+Y+EPjFf1YPEl63mv9K8Xsmu0mpAvLlUfWv3CKvi253NzaR/8pu6n2PR1ZODBluH4xGwkPW1NjeBr6Pyo3aVb7/4vTIK53vZdbWj7e9FWoq+22Lt65Ur7g/EvtUgEXwcMfMmBafi8aRV8nQj7ynEMXn2Cr3zfZNzVUzhQYSP4jPl8P0JN4MR49u7dxy+mx142zeiBZuA6B4rmTEwU6zOsV30dZ+b60XnWMay/5Q0PNjHMLZqNNgPEjZWFZN1I4eiOpUzs5mK3OLzx8WE+CNSg1XgxbN3tmm7L2oJP3XL1Vgu+JvpvFXzqHlNZ8/12dmy3eSQtYpiHedKGMS+JUaraY4j03IuPwL3fKu7qzYLPo7/y2opZx+kP/QicfxZjfhKjVf5MWv2zJSb7+OXnjcwKVhG9NtN6QPVzYwSfe/fPuGjbE6tTBsqrGL75AY+SRuDeNZaEPdY2sI99G96jl2oQ6zN05gtiwKf8YRGv1RVbXhhytzBCFcjCFLsKuPR5D3OGT19/O2tuu7LaUbJ7AhrPWRy1NkJ0XFoxlH6hoaYMSKifBnV4PKlW8WrrS6MEnxsRK+/WdE++OMU8P38+OVtB7uZhaLrVYmNiW3+G751FF2vaOqC7+IXph9LWB7kNnpNOBZ+tT1YwxkoKM2/yx5GdLBsXiNpnDidfGMnfOgJN98/t2oPpvFW1kOAr2MFYVU8WX7YVfEX8OEaN4rfDX7XgK6DqXgJR2vH8+Nhoygqui9QyZlseVek1gq/B86OW4Kt///sNtm8He9vZhtYWfSL22lnAa5kjgq8WkA7xVv+A5K/GE94jhOgZG7ls/gls51rdgq+KW0t7o+m1BOUHfLXg0aeSMMAF754xjBk5yu4xPm67XdnKG0dhoePsvK50nX2y+uJl3sci+CpT2f3hIIL9ejFk3DTmfR7PouFedvujz2L7KC0ubwUw89f8mjFstQWf2xC2PKgRmi9Tb3P9twq+hmbp6u+uJkIVwRpTv3YNxuIfxuEeuJALupoxfNUuoeP0XLPg06fGM7CTltAY+5iMGTmWOdtTawq0vHKMC+hOzcW/63x+e2EZwxfxLenV4lIJZgbrI9WEr7hpuuCpPd9haK02MGbMB+xINWdAPAZ/R42t9iaY/Q0noUa9mrqtM9cOMs/Sraq/nTna30C7sq8e3YXPecc1nNV3bB207mQga10U7jaCz86XOgTfvC62Xbp1dfk+J3VVOBpT2db6FNczWT+w/jF8mDpNMgAAIABJREFUUd/erxGQpnCsJUrVj1U3lfG29Z+TzgSfnU9UkvbjXKK7dSU0ejwzPvyChAUj6NxZEXx67jqzuXgXE9QtI/go38dUtR/zT9v8ADBk812Mmn5Lb9mAsry0EXxGQ44puz1y8wN0fy2nv9e7/FxgxGAj+Bo8P2oJvvr3v21q//b8HE1s71taS/RZxd53G8332ZPMXvtrCSL42l9M2sSiugSfsegE8wJdCPncPAOuWvBQwv4pWoI/NQ9oNxtppOx+CskXcxxsbtqF+f949P1IPP1mcrh6pm0Fye972wi+Ku5/N4IuwXPZvnYsfr4T+THHctFutuBruN7m+t9YwUfxHiZpfJh5oLhGwFLB+YXBaGI2kWOoX/BR8gvTtUH2GTNjGekpx7iUY3MRtUTIaOpijGZTdVbVSOHOsbj71Qg+TedZHLV0SZoOKzvOh13cmLCzgJJfpphmfdpm8JQZrn8cu0TOC3OXoefI71GSLk7/qv1VpgRZ/8o4HueHxtSlW387a1q7sop+az3KONTL/KeXK+98dBaHSaD6TDYPcbPL8Nn5YswzdaUP2ZBVPYbPWKB0SXa1GcNXl+DTUbwnFq33DA7ZuZ7MnC6qerp0VXSddcRuPOaz5Nn4q8exq+C/DZ6TzgSfrU/G/O8Z49aV9w8WVLe/imPv42sSfEaKf5qA1ms6h2xgVfz+KcEuLST4qi6zuIeKwetrmPL8BB/6aoj9qcgmcJaXtoIPI492jqPzwNXsXtSLrjMOmWJqK/gaPD9qCb76939uEny2/BwNfD22WEXf1EmTTffpe9kxfSL2Xo+4i+B7PeLU4laaBV8Ey89n8U92Nv9k3OXCvtXM7K1F02Mux56Yr9g1gsdI8bE4grxiWP5bvilLV/UkhSUDtEQlNCaTVF8mporMdVFo/Gdx2LSyvI6835YxTPs2PrOOmrqAK28lEKPtwSenijEasvlhXGc6D/8O0yTQZgu+huttrv+NFnzGIo7G+aPpNYdf05+bJqjknVpMlIc3sT/kYrCM4fO0y5rVZPgwFpMcF4BvzDJS8hWBV8WTlK8YqI1kjbP7kFUcJc7Lm/GJ6Wau2Yf5pI8atY3gc3tDTf+Pj/JA6ZbVF3BhaTTePpPZ+8iIsfgYs/29Gbr0d/MtTaqe8MdXA/CJSCDN0g1a7wXRWMjh9/zwCJvPoUyzv/knPyPC7U3LGL7629lLCz6MFJ/6hDB1F0YtPUZGqVkU6gpusHtef/zc1HULPio4Nssb3zFJpCtdwpXZHJnfF/dOjRN8xsJDvO/nRt/5B8l6bgRdHqcWheP5Rv1j+Dqp+rLg6APTOacvOM/yKC1+k37mkbF+VsqXhi45Dt/O09n3oJhynaMgN2SsJ8Y1gLiDT0wiVpf7OytitLhqZ3GsEowFis3uRC46wYMKAxU5yXwZ4YVbJ6vg03E8zpuu0/byoLi8Onvv9AvLyRg+5Ty5/GUvND3mcOShDowlXE8Yho92ArvznfxqsBN8YCxSZvR64u0RwPxT5glCdoKvofPjRTKzvXx57+cHFJcr9dd3Ppkz2NXt25DHqTWf8eXWi3aC3Knv7XBjS4k+EXvtMLh1mCSCrw4wHX2zSfC9ZR3n9yYunTT4Bg0g9tNELtrcW6FG8CiDqYu4uGYivTRv4+auRevqRf+4XdyrHg9VQ62pF2bjo2QW9deidtXi6+lJ0PCv2LY4Go9O3sTt/p2l/dwJ+egMTy3XAEPOTiZ6uxO1+qbS71x94+UWrffg85oubcW1JvjfaMGnFPv0Mt9NCcW7kytadxUqdXfGrTjLY5MWaSDDZzLrIusm9kD7liteWnc02r7M2ZVWPVayJirKqwpurhtJQCcXPD098OgcxZerPiDUvybD5xE2ky+nhtLZ3Ysu7q5o/Eew9PQjS1bLSPGFNbwb7I6riwc+GhWd+3zAT2lKI3AUFPZ1m98ZC8+RMLY7HiZ7PfAKHMun08LwsM7SrYdzU+PrrH7Fzrwzq5kSokXdyR1fHy3urlr6TFpLypmvCY+oGcNXfXG3FFRxYz1j/FxQu2nxUvsS89lq5vQMaFSGD4wUnYtnQpCbmZ27B8FjPmZGmFs9GT43+r73OdNDvPDS+uDloiJo+DeceWTJXtbDSjHZkLefOb20qE33v/uvY4bK+IjjC8Lx6aTC20uLt/8IliQuZojaBd9Zh1AkefGFdUxTWL3ZCQ/ffry3dhmxnmEsu6GMuzOQv/8DwjxdcHF9l301k2Yd0TsVfIrGu8KGicF4dtLg46HCzSeSBQdyqieR2BVUS/BBGcfe74K6+0IuWCc92XTpKscai+o5Pwx5/BoXgnent9DE7jVVVff+tdq3/m9W9XHBbeS2NrphuB2JFnnzsqJPxF6LhKHNChHB12aoO05FxopC/knPJL+khZfCMlZS9CCLh8WWrkhjGY8yH/LUZjx3q1BsYr2t5b+u+AHp97MpULI/Tf4zUlGQTXpGHiWNWLJNV/yQ9Ps5FDsR69aq9aX5ZGU+oszZcDdjBYXZ6WTmldCI6qxF2jwbKH+cRXpGvvPylQt1a7Wzait0FGX+zfWb93lS0QTmumIept8np6geeNV1OHlhKOdx5n0y8svsxuY52dNmk56y/CyyHjk/5uVYGaksfEDWw2JLhs7Is/wsHionXnkeaX9n89SoLGlWZoq1/vZKBqhHsC2vCcxsPHH+0sDzghwyMpX263yPl9vatPNDEedNOZ9ezrZXe3RzRZ+IvVcbt+bULoKvOdTkGCEgBITAv4CA8dGPxGoDiF17hntPyinPTeHbkX50Hr29zok5/wIsHc7Fpoo+EXuvZxMQwfd6xk2sFgJCQAi0AQEDj37fwNzhYQR5a+ncNYThcRs4bxpr2wbVSxVtRqCxok/EXpuFpMUrEsHX4kilQCEgBISAEBACrx+B2qLvP4sX2y3DNnzIUNNyaXLrldcvtorFIvhez7iJ1UJACAgBISAEWpyAreirqqri7p277Nr5Aym//Y7BYEDEXosjb7MCRfC1GWqpSAgIASEgBIRA+ydgFX2TY981ZfQUixWxt27NGrQad+Smyu0/hs4sFMHnjIpsEwJCQAgIASHwLyagiL6oyIEmgad05Qb5B9C1sy/Xr137F1N5vV0Xwfd6x0+sFwJCQAgIASHQKgT+97//cfHCBXbu2MHRI0fQvWiVe+a0iu1SqCMBEXyOTGSLEBACQkAICAEhIAQ6FAERfB0qnOKMEBACQkAICAEhIAQcCYjgc2QiW4SAEBACQkAICAEh0KEIiODrUOEUZ4SAEBACQkAICAEh4EhABJ8jE9kiBISAEBACQkAICIEORUAEX4cKpzgjBISAEBACQkAICAFHAiL4HJnIFiEgBISAEBACQkAIdCgCIvg6VDjFGSEgBISAEBACQkAIOBIQwefIRLYIASEgBISAEBACQqBDERDB16HCKc4IASEgBISAEBACQsCRgAg+RyayRQgIASEgBISAEBACHYqACL4OFU5xRggIASEgBISAEBACjgRE8DkykS1CQAgIASEgBISAEOhQBETwdahwijNCQAgIASEgBISAEHAkIILPkYlsEQJCQAgIASEgBIRAhyIggq9DhVOcEQJCQAgIASEgBISAIwERfI5MZIsQEAJCQAgIASEgBDoUARF8HSqc4owQEAJCQAgIASEgBBwJiOBzZCJbhIAQEAJCQAgIASHQoQiI4OtQ4RRnhIAQEAJCQAgIASHgSEAEnyMT2SIEhIAQEAJCQAgIgQ5FQARfhwqnOCMEhIAQEAJCQAgIAUcCIvgcmcgWISAEhIAQEAJCQAh0KAIi+DpUOMUZISAEhIAQEAJCQAg4EhDB58hEtggBISAEhIAQEAJCoEMREMHXocIpzggBISAEhIAQEAJCwJGACD5HJrJFCAgBISAEhIAQEAIdioAIvg4VTnFGCAgBISAEhIAQEAKOBETwOTKRLUJACAgBISAEhEArENDdOsyxDH11yYbHF9m5ehnLl2/gUGqZaXtFxjG+W76UZau2cyG/Zl/Th5V/kjB1KSeLjNVlgI6/tsxm0d4cm202LytyuJtRiu0RNp/+a16K4PvXhFocFQJCQAgIASHwighUZHFu7ybmR/Rm0Z86sxH6NDZ/+BVnnujh+W3Wxy3jcskFVnywjr/LwVBwliXztpBuq/nK9zGrVxgfbM/FYHXl+Vm+GBJK7Orb1i12z4YHiSxcfQvbYux2+Je8EcH3Lwm0uNn2BH7es4fy8vK2r1hqFAJCQAi0NwL6Mh7lZHNn0xwWWwSf/nYCH61N5emDm1y+kUNRSRkl55aw4McCSzZO//+3dx7uUVXb+//9J997r8q1i9jovTepgogIeFFAekhIASI1oYTQSULvSBEERJEOShOkdxCkXBAi0g1C7vo9n52cMEnmJDOTmeTMnLWfJ89M5tT97lPevcq75GhKrGScz6N2IvdXyIA+4ySp/1Q5ncvgbq+Jk9iUUTJwwlHJvr1PZg6Nl6TkJEkcPld+yTwn60d1kvfbxsicnf+VzH0ZMix+lIwdPURGzv1F7j69IssnpcqspChJWHDEaagF9XyU8AUVTt2ZIvAMgaqVKsvVK1ee/aDfFAFFQBFwOQJ3vorLI3xZG2Okw6fDZOKS72XjigkycNAiObYyXoZuzrUAikjm0ngZ9dOz/w3hG7BWjs+IkvEHskSyr8mS6ETZeGCyRE84JCcmR8uUY48Nyo+PTJIhGeflsWXhe3JCpkZPkuNm8WM5OilBZp05J+mdOkja8UcRPzJK+CJ+iLWDZYWAEr6yQl6PqwgoAk5FIB/h+zFROicdlBx69lTOz4iRsdPiJGGDRb6y5erceBl/IGcN0ycsfAPWy8OriyR22Da5dzZNBibtlQcnIXz7ZW3/1tJnVLKMTU6WsUnxEjv9Z3lkEb6H38jAVr0kiWXJyTImLkbS9p6WjOjxcsjjEHbYTRifIpcvX7Zb7PjflfA5foj0BMMVASV84Tpyet6KgCIQKgQ8CV/2lQWSMHaf5Njvnsjx1BiZtjVdYscdyCWBd+TbwUNk/R2Ps8klfI+yM2VtXKykDOsnU44/kSenIHwHZV/yIJl/OSc9Iztzp6zccCnPwvf48V4ZGzNPrpjF2ZK5c4V8d+GczIxNlWM+BPi937SZHDl82ONkwuurEr7wGi892zBCQAlfGA2WnqoioAiUCgKehE+yM2VHapTEj8uQWROGSOzEbXLryU3ZOq6/JKTOlpljBkrszMNi2fvMCVqET0QebB4kddpnyMWnkkv4jsrTi6tlWP9EmTpzhiRFJcjSM49F/lwnCZ1jZOGe6/Lr6i9l4NApMnvGaIlOWCxnHl1QwheEkf9/QdiH111Ufvc92b5tu9dl+qMi4BQEChI+Eji2bN4so0aMcMop6nkoAoqAIlDmCGTduS437nj6VJ/Kg9+vyNXbHrF7/pxl9iPJvHZD7nnsMjvroTzIyrX8PcqUazfu5loR8+9486ZNMm/OHDl39lz+BSKiFr5CkOT9oIQvDwr94kYEqlasJN9v+E4mT5woH7RuI+X+9Zw893//kOf/8U+ZOnmy/ikGeg3oNaDXgMOugY87fGSe0zyrq7xXUQYOiJI1q1fLrZs3lfAV8SJXwlcEOLoo8hGA8K37Zq2MHztWWjZ/3xA9i/CljBsn+qcY6DWg14BeA866Bj78oF0e4XvnzQrSt3dvWb7sK7l27ZoSviJe20r4igBHF0U+AgVdunfu3DEWPwJntSkCioAioAg4D4GN32+UjPR0OXnihPzvf//Ld4Lq0s0HR75/lPDlg0P/cRsCBQmf2/qv/VUEFAFFIJIQUMJnP5pK+Oyx0SUuQEAJnwsGWbuoCCgCrkFACZ/9UCvhs8dGl7gAASV8Lhhk7aIioAi4BgElfPZDrYTPHhtd4gIElPC5YJC1i4qAIuAaBJTw2Q+1Ej57bHSJCxBQwueCQdYuKgKKgGsQUMJnP9RK+Oyx0SUuQGDZ0qWC2LI2RUARUAQUgfBHQAmf/Rgq4bPHRpdEEAID+vaTGdOmS3Z2jop7BHVNu6IIKAKKgCKQi4ASPvtLIawJX0H9Hftu6pJwQyDz1i2JjY6R9BkzCuksBdKX6KiB8u/nn5dqlavI9KnTJDMzM5Dd6DaKgCKgCCgCDkZACZ/94DiS8B08cFB2//ST/VnnLslIS5PoqKhi19MVwg+BLp98kqekTsmckrZDv/wiLz7/giycP1/eb9JUXnqhnPTv01cOHDhQ0l3r9oqAIqAIKAIOQUAJn/1AOJLwrVy+Qih59eTJE/szF5HffvtNXipXTnbt3Fnkerow/BD4/D/d8gjfhm+/DUoHalWrLiu+Wm72dfjQIRnYf4C5fpo1bixLFy8WqmxoUwQUAUVAEQhfBJTw2Y+dIwlfVlaWvPf227Jq5Ur7M89dMik1VerUrCVsoy0yEIDoX7l8RQb06yepKSkm7q448u9Lz6mH2emjjvlWvX37tnEbcw1hAezW9VNZu+YbefToUb719B9FQBFQBBQB5yOghM9+jBxJ+DjdubNnS40qVeXvv/+2P3sRyforSxrWrScE5WsLfwTu3rkrb7z6mrR6v0WehY+x/aJ7jxJ37uzZs/LCP/8lt27e9LqvY8eOyeiRI6XKexXl1RdfMgW5N2/aVOw16HVn+qMioAgoAopAqSOghM8ecscSvsePH5sA+wXz59uffe4SXLtvl39Tpk2ZWuy6uoKzEfj9998N0atdo2Ye4fu0c2f5qH37oJx44wYNZd7cuUXui2SgfXv3SkJcvLz1Rnmp8PobEj8oVnb/tFuzfItEThcqAoqAIlC2CCjhs8ffsYSPUyaWD9fuw4cP7XuQu2T/vn0mEH/jd98Xuy4rPH36VEYOHy7t234gp06e9GkbXSn0CISa8CHN0qZlS587goV525atxoL82ksvS6V33jXXzZHDh33eh66oCCgCioAiUDoIKOGzx9nRhA/NtIb16ktczCD7HngsISAfV5wvL+N1a9fmWZCaNmrksRf9WpYIhJrwERv4/D/+KZcvX/a7m3/99ZesX7dOunfrZiYXtavXkAnjU+Tc2XN+70s3UAQCRYCsdY0xDRQ93S7SEVDCZz/CjiZ8nPavFy4Ylxp6bL601JQJhvQVl9mJ9AvxXM/93z+k5+fdfdm1rlMKCISa8NGFti1bGS2+knSHWMPly76Sjzt8ZK6jJg0bGWHnkydOlGS3uq0iUCwC71R4y4QXFLuirqAIuBABJXz2g+54wsep792zx1hUVq1YYd8TESPjQkA+rmDkWrC+eBNnRn7j7t27MnXyFBkUHS3Hjx+X69evF7nvggvv3bsn27dtL/iz/l9CBCBSjF31ylXyLLBItKDLF6w2f948aVS/QbB2Z5JA5s2ZI+3atJVy/3pOKr79jgwcEGWyff/444+gHUd3pAiAwDtvVvBJp1TRUgTciIASPvtRDwvCx+l/u369sdyhnWanl4ab1orP+uXgLyb+j2zPgiLOvXr0NFmfWPf4q1m1mnlRX71yxR6pAksQ7CWmS1vwEXjw4IF80rGj4GrHCrty+XKTjR2sI1HFg/2eOX06WLvM2w8TgY3fb5TB8fEmyxz3cYtmzSVl3Hj5ef/+YrUl83akXxQBGwRyLHzFC9PbbK4/KwIRjYASPvvhDRvCRxcu/vqrkeugSkKPzz+XpUuWyHcbNhjh5W9Wr5F+ffpKh3bt8nr7559/StKo0fJyuX9Lxw87CCSQhsWo6yed8yxIWGQgfufPnc/btrgvV69eNdvc/N27xEdx2+vyohGgCkbf3r0NEYdABbt90vFjGT92bLB3W2h/XLNkBX/auYuZsCA50/2zz2TJokXizwSj0I71B9ciAOH76ccfXdt/7bgiUBQCSvjs0Qkrwmd1gyoJw4YmCgOLfMe7b70t9evUkRZNm3mNx7tx44axuPz7uZxaqtRTbda4ic+ED4vTmTNnZPvWbYLQMxIhkEhI4s4dWuXDGpdgfoaa8OH2x7Jbmg2pIazNyaOTBHkYrp+6tWrLsMQvTSZwpATio42J5mFxGpqliX0kHUsJXySNpvYl2Ago4bNHNCwJn113EgcPkYTYOLvFgsWPLMtqlSqbmEBeuPxBBPkkAD9m4EBDDv/Tpat5KZd/7TWzjOVYAoklI4GE2qwE6kMctAUfgVATPlyvxApaVt/g96D4PZKgQlwqlkx0JLFcY4mmRvTpU6eK34ED14DskRTD/fLZp//xGkPrwNMOq1Nigvvjrl1hdc56sopAaSGghM8eaUcTPrTy7ty5W+wflhNan169ZNyYMfa9zV1S0KVb/tUcUpc4ZKiMGDZMhiQkyNTJk01ptz2795iavdYxPHdO9QfKdWkLPgKhJnycMWEBWNec0JAgOnrkiLnuPmjdxriyEX1mgjF54kTZsX27beyqE87fOgfCIiB71t/9+/etRfoZJASU8AUJSN1NRCKghM9+WB1N+MiwPXnqjGzesr3Yv0OHjxoRZawjxTUsgb169Mh7KZH1Rhk3XL/+tLHJydLni17+bKLr+ohAaRA+pHsQ9mZi4bSGBXLnjh0yZdIkE/+HBRAShQuYxKWF8xcIpeCCUWM4mH3nfIhR5FxJXPGWJR/M47lxX1yzauFz48hrn31BQAmfPUqOJnycNi+M4ydOFUv4IIW1qtWQkSNGycmTp+X27T+LfNns2b3bvJRw47Zt1doeoSKWfLVsmbzfpGkRa+iiQBEoDcKH+/GNV14Nm5fnpUuXhOQkrJItm78vLz7/goklxSJIDWAy2a9duxYo5EHZ7uyZM8YtzX1FpvWD+w+Csl/dyTMEIHy7dmrs8DNE9Jsi8AwBJXzPsCj4zfGEjxOG9B09dqJY0kcwc0pKat56P/60R86f/1UePChcmu3Azz8bwke9VDI2A2noAxLjp813BDIzM40cCrVqf9i4UaiOgobdrIyZJnaN0mezZ84yY0Ic5ZuvvS7btm71/QB+rom1DC3GcGxZWVkmlnTu7NkmDpAkFCxrxJpSDQSdyU0//GCqipSGpY2MZKzlnIP1p6Lmwb+ylPAFH1PdY+QgoITPfizDgvBx+sQ4HTlyLI/MeXPzkjmbnj7T6zr79x+Uy1euyuPHfxs0gkH4EGvmxXb79m17hF245N7du6a8HSWgJk5INWSEmxBJEosI+PsJmW/euIkRNF68cJEQW4kLnuuiJA3xbEi7txjNkuy3rLaFUG/ZvNno/iEFU7ViJYP56y+/YjQqSWpCeJrJCklMwWpUxIFoduv6ab4xxoIKgddWMgQYKzK8mRhRPjIjLb1ID0bJjqZblyUCWPGJJdcWGAJK+OxxCxvCRxd4uR86dNQroft+42bzolm0aKnX5RZB3LJ1hxw+ckw2/bDJrF8SCx9Wk1f+/aKxsthD7I4lVMiA3FlyI/4SukDXJ8O6aqXKJjO0d88vZNSIEYZg4N6kfN5///vfIl+MxJxhlQqF1p9TRp6xQfR50YKFJiEJF7BFviu/+5506dRJkkaOMtqA6Ltdu3q1SMy89Wv61GlGYJqsZ8+x/GbNGpN9rLpx3lAr/Bv1msnQRl+UMpFkOnN9gynWbnRGyebmD3kptCT90Q8tfET9xWkIpE2fLl07d3baaYXN+Sjhsx+qsCJ8dIMA+4O/HC5E6latWmMeimvWrCu0zCJ7np9paRlm/S969JSP2n/o9wvOghQ32vcbvrP+de3nlctXBIseiRBYmIgx2r9vn6CZeOTwYfMJGYCEUaUEAsJyXLtY67Zt2Sqrv/5acE9SEm/o4MEm67rTRzkVN6hq4kkk/PnOi5JsVzKvORauUM/GsSCLbmsQu61btpgawAP69pPWLVoImcFgi2QN2pYQDkg0ZJFEAcbZm1WV7HjkZZAr8hwbCHdGerrZb1nHFzplfNEnhKRt3rTJWOyYdPIMqvJeRYMdVWBqVatuBOKZRDEZ8RTpxpKKq/7rVatM6APrN6xX30y4Tp086ZRu6nkEiIASvgCBy91MCZ89fmFH+OgKpO/nA7/kI3YW4Vu9em2+3z1Jnud3i/B17tTZiDD/tHuvXPj1ovgjfstsnIdtuGqm2V8WzlwCecBStGD+fPlyyFCjm2i9JD1JRnHfcf1DJHmwHjt61JBOfkNgW5sIFkFI+to135gs4ah+/Y072IrPI1mkdvUa8uEH7aRfnz6mmk27Nm0Mpl8tXVaI8IEpZBsxZjc0niEk2DCpwdLMJAaheCypTBB5ZnCN4m5Hd5FsZtzeTJQunD9frGB1pXfeNTI9FpZU+yHMgUQZajkzNlQYYoJVGrGb1nnoZ3AQUMJXMhyV8NnjF5aEj+7gitv/88F85I6XNkTOk9jZfS9I+DzXg0xevXpN/v77iT1yIsaawTGdKOtR5IlH2ELi1rBUYQ3BkodFrzjS57kcqxaueUggVkesL1iqyOLVsc1/sRCfCUnGqk3JuDFJyYJ1sF7t2vLeW28bV6Mntk0bNTaWKqxYyBghWr5s6VKzPdZWLFIQ+YcPCydW5T9y2f3HNQAJxiJK/WUmHVijkYAaOXy4sUTjakUyh5hFq/+4zfmNZSQG8SIHNyaITBYDbQUJn+d+qDOOmDeWWay0uOyZHO3+aXfExKl69jcSvyvhK9moKuGzx8+RhM/Xlyyukb37DuQRvJrVqsuwL0fk/e9J4gp+X7p0uXk4D+g/QDp++JHXbYj3O3r0uNy8dcurG4tZNfIY2pyFAFYNrEkQCyqn1KlZK+8lbL2Mi/okwQErzOyZM82LkyD5WzdvGtcmot0keFDHGS08GoLJJC1oEyGW790KbxliA8ZTJ002VkK0L7EGYuXinsEKVeH1N+T5f/wzb2yISyMDtUGduiYmEzcnsUwIZLMtpAn3Oy5mYtcQpIZAkuXNeDDeSxcvNtYurMAQUqxrJgM8Pd0QLs6P7GW2ZYJA7CKJLLijyQpv3/YDada4sTk/BI6Z0BW8VkjN+lu2AAAgAElEQVQgIla188edJDoqyoi9cyzCGUgG++233/zyFPh73UDiSDYqrmGxxsKIVijXNNcxeM6ZNduUiixue11eNggo4SsZ7kr47PFzJOHjoUlgeYtmzY2r448//rDtAVm3e/buN4StXdt20rN7T6/krSDh8/f/HTt/lNNnzsrdu/fy3CTxg2KNO8b25HSBYxDgGiJmCotUuzZtvb7IC77Yrf+xlBBThbXqg1atTZYrGbDoN+KCg1CynIZ1ETcdkxYIAeQCaw7EhBg4rIYIJkdiZjd9JsGAGExIN1ggu1NUYz2sZ5AkiDNi0+u+WWsSSCBrvPyoX411kMxF3J+QLKrqID0DgaS2dZuWLaXV+y3MJ88OiBuWNcYCyy3rQXYgdZB2xKGplDNwQJSxgBGDiCQQRHHVypUmbg5LHjGoWHzJyEcM21v8YlH9C8UyXwmf57HxiOBiJhGE0ne4frEUIkuEtRK3sDZnIKCEr2TjoITPHj9HEj5OlwcUrgnq3vJw+k/XrualwDLq4VKH1GpZFKXfs0/69O4rzZs0k/Xffh/Sv63bdsipk6dNoDSWBW8NKxDSF57xfZYmmrf19bfSRQDrMC9zYqd48fPyswhecZ8kkGCdwmJirUu2MPGE9WvXkbatWklU//7SoV176de7j7E4tWjaTIbEJ8i+PXtM7WYsXryAIUUz0zNMvBXnQQk1rJNYj4kDw1198eLFQokmpYuWb0cjuYB71apYA8liUqQtuAgYwrd1W4l2CnlFB5Pr0LKAN6rfwFhPsR76E8tcohPRjQshoISvECR+/aCEzx4uxxI+XnTM6AkQt16qfPJi5aXCd4KUsQrQ/srKknFjx+db13O7UH23jm9BjBsFdxEuFOt8cQvx9+IL5cxvWC61NJKFmHM+yYREA4uXIG49K7i+qGuHdXhR9u/b11hPFs6bbyxFXLu4IbEwkUFJwoPlvuQTt2DDuvWkeZOmRrsOqxXr4qqclDrRuAy/XrnKuEg5PjGKWLqQ4jh+7LixgOHiZOKDVYwEC6yHZMJm3rpVJqBy/r169Mw7NvcBfdcWXASYWGwvIeEreEbEJ1I5CPcvZfx47mIhxfKJRAzZ2U5rnBP3AK78SGpK+Eo2mkr47PFzLOGzTpnYKeQHDh06ZF6kr7/yqinZRPB0wXaH7MIjR+X48RNy6uQpYynB5Xbx4iVTbYAHRLD/7OINCZ4mpmf//v1mtsyMmQxGCKIT3EIFsdP/CyMAecetRz1brFWWdl1RBBAyB1kkmB8LCteB1bhWuJ5JVEC2Blca1r3k0UnGtcgx2BYLDhMb6zhYAUmKIPYNdyUxZ1gOO3boYPaBNbFOjZqSeSvTuKs5B44FAUNqhTb8y2EmZo3vyOdgfabxoocolrTh9uR8kdmxGkSUc8GapC14CISC8HmeHW52wg5ISsHqbFVwwarNJJuwCGIDsUCXZaOspXWPIEodKU0JX8lGUgmfPX6OJ3wFT50XFFYObopIaLz4cQsX9Xfu7LlI6GrY94EXIRMNEgOI/SJuz3rhFPVJggKWLxIGcJf5YoHjWFRXYOzJZiWMgcSAlHHjJC5mkLEKErNWvUqVfPGIuJtrVKlq4rTatW0rnT/+2BA9Yg57du9u3MhNGjY0ySj3798350+sIUSU80wZN97Eq5FVi4uWc2XiwssdYuhJYD0HFBKApdOzkdELLmrN9kSl5N+Rc0G3sjQb487kh1hUNCu5VhhbqtSQXIMMzLq1a4Xyely7pdGYAFn3nTWBKY3jhvoYSvhKhrASPnv8wo7w0ZUzZ86YG51Zpl3DqkAcYLCbnUUv0OMgaMsL3POve7fPJCZqYN5vkfQwCxQnp25HMD9uYAgSVjjrBVTcJzGDkDAIFi4zkhZK8qKEvBHrh6j1xu++NzGAuICHJCQI9WyxDNauUTOfbAhZsZxHo/r1jeWGRIfePXsaCw7xhyOHj5BlS5YaAjl96lRDOukXWbEQUErdYcVj0hLVf4Bs/O47Q4j5jfNBagUrI/3TFjwEyoLweTt7CD1yLwhrk0RjxQJiCccdPHrkSHNvEJNaEhkab8fmt9OnTxsXNCQ0kpoSvpKNphI+e/zCkvDRHTLtsGbwkvPWeOkRFB/sZpekEczj4EJkNq0t/BCwLGLDhib6XWaOFyWka1jilyZhCTIZimZi/a5eNeEFxIKRHMVLG9cysYQQUawnWA89E1OI66LKQ+MGDQyBbNOipZG9iR4QJa1btJS5c+bI4Lh4efvNCubewwoKQcQ6SEwjJICJGHI2ZC8T2mBVY6GfwXAthwIvp+0TwkdMpxMb48sEFSmc/n36mkkQbn2uAyR3yBDmdzK5yeDGeo3Xxt8wF0IHPCVzBg2MdiIcPp0TEz0s+cRQEpP4ToUKJgacyZs2/xFQwmePWdgSPm4GHiLIMXizuqHXhc5WsBtWjVAHMPPSx0WmLfwRwBVGdjbWDh5EviSCcF1bf8T08XLEhYfbtSwa1hkSWog/LUgQ0Tm0CCKu5IIEETHmpo0amb7T/+FffmlkUkhWAZdmjZuY7GaIAokslluYKh7EQWKlJ5EFKyGZ71iUIAi8JEtiES0LHIN1TKRvnEr4vPWRcUOnkgx0PBq4f4kN5FlKfCrXOjGrhEggoUOMKhI5WJGp+FJQwoh4Pa4zT8JHIp+TMeE6xoqPNXzJokUGAyzv3BuIdUOK0XZEdqhXz55So2pVkzjD/VWULJk3vN3+mxI++ysgbAkfXfqk48fmYbFy+YpCPaxSsZK5mQotKMEP3Hg8nJDMCFUjUYCHHwHJ2iIPAVydxPGR/Yi1o2AWukX07D5J6KCKAhmwECaSJZCYcVKDIELK8gjiypV5FsTiCCKizbwEjfhyq9aSOGSIIYHdun5qsjF5OUIW9u7Za7L1IYNU/oAoEOKB+xCXGHJIZDBzDpDJSGrhRviKwx4dRjLPqUKCpZnJOglMVCkh7IB7AYKHZbN+nbq55KhBvnunRbNmplrOyuXLTcLJ5cuXBZdzqCYFEDhibDnOyRMnTLISOp8kRGHBJl6XMA+uS5JeLGUJsvVJpCKDn4kc7y6s3DwXrGa5dAldYvJPsgxxw6Hqi3XcSPlUwmc/kmFN+HDnMssja80zRoQbg9lTXEyMfc8DWMLLhBlpelpaAFv7tgmzVOtlX3Bm69sedK1wQoDrFosF1mhcnp5WC+s6KO4TqyFB9FjasCTiGkK8nBdSODSLIELcjAVx5cq87GUIImLJuJixIBLGYeHBxAgLIuSQ+DFerr169DDfIYpDBw8xkydczRPGjTduMlyITNgQbcbVTP1akmEgB5BnXrL+uhdLG2MIH+fthsaznNAG6gLzbJyYmmrGlPhUS+aK66FmtWpS/tXXjAXdIlf8zr1B6UTuD2JsuVaQCsKaxsQCKyMEgesLIsYkzFO4m4QU/pDSgoDilqYMo3UNWsfgvUAyIftF2J1rlvhZCCzhRZBCT1JX1NhZhM9aB5UKrN9Y+5nUOP36tM67rD6V8NkjH9aEj24RK8JNVzBwF7dBwd/sYfB9Sf06dYwVwfct/FuTWCfrYVJUUop/e9W1wwUB3F/Enk6bMtVYsD0JjnVd+PNJNRCsAxCaSGl2BJEwCIsgksFckCBCBIhBrFW9unEf9vjsc2nftq1Ur1JVZs2cKW1atjL33skTJ414NtZUCAcJVbHROZNHKnFQCYSG9ZA6wKXdIBZuIXwFscUlSsk7GhnC1r1AbHVWVpYhbTz78ZSgSQnRguSTcc7zlExiNCuxxEGkiF8llpBJEvvA3Yrb2bM0HxVfWM72JCRRZ5uYOwTGOU6wW0HCx/65f7HqQ14hnsuXfeU4y36wcQh0f8QChzMpRgcW63AoWtgTPuL3MHtT/orZudXClfDxIKIqA/VDeVBpczcCuI6oCIKlAKuB50vOetn58sn9QSYlbjOkM8L5gejvFWElqRgL4rbtpnQa+ofeCKJnDCIEEdJXpWJFk+FMskGdmjWlacNGsmTxYmONxaKDZh1WH5JUSNphnCAOfKeSCwQBtzLkIxjEG8KH+9CNjX5DeGiWuD3X/5JFi81v6J2Gu2eE+EXKAHprZL5TCxmvFn9816oo3pAK39+U8BUzdtzgSE7wIGRWx8uMmRAz/GA24oLeePVVmTJ5cjB3W2hfWBMiTT2+UCf1h4AQ4No+cfyEYHVgUkBMkC+Er+A6EMAmDRtJVL/+Rmbl4IGD+uLIHRFDEK9dM7GBxFtiCbIIIlmUEDosiMRmeRJEy8WMFbFJg4byaZcuJu6M9RG+JjCfmTtjhwsQ4W2ScdBohBTitsTdjOUIyyGJDt7iM8medivhw4qHcDlW3tdefsXoUeK2XfP16oDuJyduVBThs84XTwBWR957VEZB2cFOI9PaRj/DAwElfD6ME1YLZnzEZzCbJkaHbK9gNmKieHFSMSOUTQlfKNGNvH1z7a9audJk+EHi/M0EtsgghIRYJ+KaIJORVL0glKNeHEEk4cSbixmCyMv63bfeMrI2rVu2lIrvvCtDEwbLxx99ZJ41q1asNELH6CVCAnmxv/rSS/LtunUmixWXJI34w7JwL4cS16L2jUsTso3FFGyTRo4qavWwWuYL4bM6xAQQVzPxfbz/wMGzzry1nn6GDwJK+HwcK6xivLyoHDB/7lxzI/i4qc+rEbxLBmIomxK+UKIb+fsmOBwdx6mTJxvXEFl+Fqnz9xPrFNU9cB0RE4uLksobJDBpCwyBPIJ47JjJ2MaCSCwyLmYsiBZBrF65Sr4EATJW8VxA6JGzwbVZ6d33jLuf5JU3X3/DuJfxdFACjWZVeCE0gOQUwkSwGjJ+wXAvB4ZAybeC4FhxTsQ9k2gRKc0fwufZZ6zRJrzphXJmkkDcIpZAbeGFgBI+H8eLhxruDl5qyaNHhySWA0tKqJsSvlAj7K79k3hATWkkILB6YwX0zGT0lwRa65MNR8A7LkhtoUOAGC20P4nlJFkDN/6Afv1l1IgRMqBvP5PcQ8YppA+roTU+1B2v8EZ543rGvYyrGWvYhJQUs07XTzob8s7+ZkybZmIM+/bubdzMWI1xGaKEQMgMGnJOIQ+WBqtVTx29PkIUvLm/QzcqodtzoITPOiPCA5C2YVyJ+WUSQXlDb3q11jZu+WRi1eWTT0zClVP7rITPj5GZP2+eeZjhAgnFA6o0bholfH4MuK4aEALEQBG3R5k0SAPWIosoBPIJmSCcAncw1iWSppDR8FWKIqBOuHQjpEWsTGFvEBDLBcFH3w3BarJOkTGBBKBhiBWobq1aeaLHjDfufMghLuamjRoLwtdoIvbt1Vt6f/GFuTbIHKcaS7VKlU28IRMIyAQeD9z/JJyRVEAc9c3fb4ZMNw5SyvlZjePTB0SaI6GVlPBZGGAAQeyaZCL0K8lupgIQ970bG/eD9WxD09GpTQmfHyPDAwe3BwNL+n04NiV84Thq4X/OxL5SyQLXLcQA16D1gAz0E0si+mZYo7DEhLpKTfiPQvE9QJTdm9h88VsWXgNSQMwXGcRInkDacNsjDM5zyHIvQ/I89edwL1NCD1LY8cMPjdWY/ydNSJVG9eqb6wYtSGoyN6hbzxyYawDCSCNhBTJCw4roqzg2RBIrJmEFno0JPi7rSGjBInyeWBBGQIY+9zXWUDxhY5OTjUC553qR/B2LsGUBJzTLqU0Jn58jg4gtLyiEbMOxKeELx1GLzHPOzMw0YshogBHPh/BsoOTP2g5LA0SCGENIBpUWtPmOAPFqWO3KohV0L5M8AUGhDB6yNYhfI1UDEbRerow7daLfKv+mkRLp/tlnRu6mbs1aJmOZ5Wxz6NAh43YelphoJG0G9h8g36xeY0qLkZzCC3vH9h0mM5WJvWdDaJ/jR0ILBeHzxAWrO3GjuDaZkDGxA2vCM3DdR2IjuxuvxtzZc0xfDx444NjnjhI+P69AXlJWSR6kDcKtFUX4nl5eJikjpklqcpKMHBgjqbNmS2rKeBkZNVBm7H8g8vSKbBgXL8NHJ8vI6FjJ2P+7HEobIukHH4pkX5cNo0fK2itPww0SPV8HIUA2KNUDsALxgrfqoVqELpBPXMq8dBCJRk+TuENt3hEAc2KRnN4YQ5QNyCDet3evrXsZbUOqZFjXDe5lrIW4l7EOdu7UycSjkYyXOGSoWW9IfIIpYYY0DparRQsWCDGJWCqRLcKaTClM4g/5DKfrKdSEz/O6AR+spZAMQjIYA/T9IM8IUYfj+9Ozf9b3YYlfSu+ePfOuMSYghKFQ0s9pTQlfACNC3AIXb/yg2AC2LttNiiR8F2bIf/qsFYpmPb2YJl16rpLbIpL9+yKJG7Fbsm9tlaVrLwqULvv6fBk0Yrdk3d0rKV8MkyXp0RK77JJZVrY91KNHGgK45QihwG1HaSlPfTrrRe7PJ5nFWBSJyQ3nbNJQjDO1lKdOnhKKXZfpPu3cy7geLf1DSqBVrVQpXwlCJveUHiNJ4YPWrY3EDfGIvOQ7ftjBvAfWr10nMQOjDanBLYzbmjKEuDoJY9i7J0fkHktQWbfSJHwF+woBZDKHbiSJQJBviFGfL3oZqzJkGkuZkxtZ21RU8Wwkq3Xu+HEe4SPTnYkqExGnNSV8AYwI6ve8YDBZU+A6nFrRhC9d4lOOyBND8hZK/Mg9YhLv76+UhMFbRf66KBtnjJGUCVNkxuS+8nHcVuERdmddL6nUeIKcYENtikCIESC5CRccsWYkCxAz8+LzL+Q9cP0hf8SO8cJH+FybmJcvUjlub7h1PbOX7dzLEEFPbUqyl/kNtzMxbTWrVZfyuULYhBsg2E9MIcTa0veDIFJWDd07MpgLupSDORZlSfgK9oMEIES+mcgRO8r7FBJIDCAuYVz5WAIpBwlZLMvGmFGLm1KJBdU0lPDljEzYl1Yr6gLr3TMnuwwCFU6taMKXIQkTjuYSvkWSMGpvPsL34JtYiV6dabr79Px06R6/VbLu/CTj+4yVVRn9ZMD8c2bbcMJDzzUyECBrnvJmVJOAwDWq3yDfi9gXEkis1/ixY00MEkkBJBzwoMc65JaG94IXsDbfESjoXsaNuXD+AqMxSf1l3MVcj56uZSYoWA6xWCN5g8VrwvgcSZuP2n8ou3btkjo1akpGWppcunTJkEN0Dimph8UQV3IgzUmEr+D5I32Dix4r4PSp00ylHiZzVpk73PDEmOJZI6ubEoNkioMLEzYknEpiRSVci2cIx6diDYST+E1LcB4iT+wozwbPpoQvB42IJnyY7uvXqWNeKuEkFFsSwvfk1Gzp//kwmZ4+WcanjJQ+XeJlQnQfSTuaZWL4vo37QqYevi+X0tpLt8U5xNDzxtDvikBpIkASAA9nhJ379ekjdWrWCsgKiAWHeK5POn5s4pF4GTDb5xkQaW1wfLyxmkZav5zSHwgJlkP0/iCGSBfhVibGFMmherVqmxKb1gSF8IUaVasaUgg57PF5d+Nyjo2JMXqwLMfFyL64xrF8o5WHtA4WNOIcPS2GTiZ8RY3R9evXjd4fYRhY9UnMatuylbmnUc7AMuiJWdVKlY2ME8mVSAW1bYU7voXxBiDvBIlrWLee1KtdW2pVq57nxoeIc6+zHZMfSDgJJ+fOnjNkm2MUvO+V8OWMXEQTPrrIbIuZGy+ScKk1WBThK+qGs5ZlP7wpV65kGleu9Zt+KgLhggBZu1QK4cXH7J0Xg/WiCOSTIHRKxbE/9OJ8lQBxKl5YNbBKaStbBIhlw7KHvhuEDrcvLmBIHWSEd45nLCtWMMsC1rJ5c/Md1zxkh+v6559/NkQpZ+LS0SQwsU+skyQXcKxwbrjDIbckgqAFiIg42dfI6SyYP99Y/nEP45rHJYtEEKSY0nFUDYEkY9EvKgEHkg7mBRs4d//s87znSLnnnjNEUpM2CiIV4P+V333PlA0KcPOgboZpHUsfs7NwUGMvKeELKni6M0XAAQgwcUPIGQHhTzt3Ma62QMgf22BpYBI4JCHByH4gFBxODZd2n169wumUXX2uyKAghE1yCCQGFzCknUQILIIQPEtVgusTCxbksFb16maygwWLEnpvlS9vKkSQtNKlUyeDKVZHLJCENECOTp08aeIMsZy7sSE3Q9hHwQbZxBUNvmS5165Rw+BUcD0n/K9JG0EYBR7qiHPiDilqhhCEQ5V4F0r4Sgyh7sAFCGDxwBKAuwbXT6AEkO1Q3qeCA7IwBOU7uaFf+Pl/ujn5FPXcAkAAyzahR926djWC1VikqYyBlbtNy5aG/FmJT0xaiCvkD+maqP4DjJQNBHLxgoXmXoiJGmgI4Eft2xuha5IXiZ+F+Dx48MCxOnQBQJe3SWrKBEHn0VtDSYB7nSxe3MVObUr4gjQyaDQxc2JG5OSmhM/Jo6Pn5lQECNnYtmWrSerApeZZGcJfMggBxHqCywndQSe1mekZJlbRSeek5xI8BJAjKkp2B48Vlrzt27Yb9ycTAGLmunfrJsjW4F2zspLJqkV+pH6dusZ1jMRKvz59JSEu3pCfhQsWmAQoYl9RtsA9TTwcGbe4X50uwVIQdfQDrczqgsuU8IlEfAxfwUHnhcBNQACtU5tPhO+vQ7Ju/dlnXXh4VjZMHyPJo1Nk/o9X82fiPtopqZ8lycZb2c/Wlyw5nNFPBi+/6PGbx9eHF+X42TviuYXHUu9fs36S9Bl78sUO3ts6Q+YcQDjmiZxZPku+v3JGVs3cINeyRZ5eXSfzVv+muoDe0dRfS4gA4RvUVyUhBPkNMvj8JX7W+ghDo+tGIkhZvwTJLiXuS1tkIkA2MBONkjRcmLdu3jSxf4RCEBtHBSpiP8kwJgnCshbyidA11kGSLPCEzZg+3YRAcf1j8UazkCQMXMWIWltlSzmGkzLkSfogM9hbU8LnQsLHhUAMDKSPG8GJrWjC91DO71wh6VFNpUH8ztzTfyS7k/uZ7Ft5elO2Dh8oM894yFTcXyG9ataRvvMuPyNXD7ZIYuva0iXlqFcInl6aJQkph/ITR69revz4aLUM6LdWPKNHMpf0k7iNKAFmy59nT8hvD/6U88cvyQOEo89Ol4TJJ/w7hsfh9Ksi4A8ChHIgDUEGLy8v1PYtQufPJ7VIrWoXZVEVhKB2J9cC9WdMdN3CCJDRSnJRqBv3A9msJENA4jLS0+XLIUON/iAuT0+JGs7JCnto2qix1Khazbw/KbVY+b33zKliJSQ2kYYXjZhFiCfHKK0wKpJifty1yyt0SvhcSviYkXz4QTsTKGt3cXi9Ykrpx6IJ3xO5e+2i/Hp0hkQNzSV8WT/J6EGL5fdcc9yTIxMkPv38s7O9v0IG9BknSf2nyulcHnh7TZzEpoySgROOimTflv3piTJ4ZLIkDx4u8/YfkvWjOsn7bWNkzs4b8uT2Ppk5NF6SkpMkcfhc+eWPK7J8UqrMSoqShAVHnh2nKMJ395AsGBYvI0aNli/jkmXdhceG8EX1GC2pKSkyOrqXJK68IE8LnstBrbP6DGD9FkwEEIc+fOiQ0RMjoevlcv8OiABSFaRr586mNjAvauKjQtmwrlAGS1vkIYD12LKqOaF3JJwwqcEzRv1m5GmIdUVChex3S2ql/GuvSeX3KprYuIRBscaCyKQIvTz6g6sVwoVl+qtly0yYBPGE7JtqJ8GwmpN9z7HsCi0o4XMp4eNGYtZBPAMXLEHfBXV7yvJmK5rw5Z7ZneWSkJhL+B6uloTBm5+5UjOXSsKI3c+6AOEbsFaOz4iS8QfQ47smS6ITZeOByRKNiPPxyTJo0vEcAefHR2RKwkw5e8Gy8D2RE5OjZcoxU89DHh+ZJEPStsmMTh0k7binLU9EHn0tvRp2liFDhpqZIrPF+I+ay6CND+T0tChJ+Tln/exb62RI3Eq5fnqqdOnzjWRCVB8fkHFR6XL2aOFzuaClf5+NpX4LGQLoryEQS+A3ge6BxgASP4WFhASxZUuXGhFe5CSC1ZCowCWnLfIQwH0KaQkGASoNdDCeoFmI0DQZssQTIrqMtQ/9POseQgy5euUqRqj6k44dJTZmkNSqXkNGDh8h6Wlpps9Yrn/YuNFkoCOXgl7hrp07BdLpS2MbjsNEzlvzh/ARDsL6aIRCWknmom8k0ZBdjVucSRfC3K+99LLhEvSXGEqILutMnjjRVCnxNwZYkza8jV4QfiO+B9LHDYZ2z5RJkxxxo/lN+B59K4PjNuS5UrOvzJWEsQefIWQI33p5eHWRxA7bJvfOpsnApL3y4GQO4Xu4ZoC0/WK0mb0xg0uIni77z1mE76Gs7d9a+oxKzlmeFC+xU7+RGdHj5VAOB3x2HFsL321ZF5cgP1glGLNvyKK4JNl7YrokTMp16T49LxmxE+XA14XPxYQAPjuKflMESgUBHvq4u3B1kRWLW4tnRaB/vBwoR4XMxqYffjCaYoF0ZMf27SbOKpBtdRtnI4CFmOsskhpJJlTH+H7DdyaelixZdDEp1WbF1WJ4qVKxorzftJmZLOEajurfX7Ce79692ySZYFG0Mo1Txo03YtWQQsuih15f7Ro1baGjSgdW/IwZacZCefXKFZP8AllFLoesaIScmaxZ8Y2B3uue21WrXEU4X1/1P5Xw2Q5hyReQiWSVYGOQmDkzqyjL5jfhe3pRZkWPE4sY3Vk/RBLXebhCcwnfo+xMWRsXKynD+smU40/kyakcwvd4b7LEzbuSk6CRnSm7lm+QC7kWvsfyWPYlD5L5l3P8xdmZO2Xl+l2SEZsqxzzCBA1etoTvnvwybqCkn82deT3cJaOj58ul0x4xfLmE79BPhc/lkvcJW1kOkR7bhQgQh4SaP7P9qH79Tc1Vzwd7IN+ZcOIiw02LLIcvjYLvZF5qizwEkBkiacNNjUQQiBvWvVkZM03GMaXualevYSx23FfEEyJk3atnT1MGD2KIOHvrFi1NaBb3JjWQLX1CyB0GHRI4KOMIpmQvv/byKwFP2Lzd36h+YNkjJASySH4ASVVM6CC5gdQXVsIX4qufi1KvxugAAAzkSURBVOWb1WvyzeBRSycDqSya34RPsuXWlnESFZcqc9LHSEz0LDni6W21CJ+IPNg8SOq0z5CLTyWP8MnTi7ImcYAMmzxL0kdFyZDFZ+Txn+skoXOMLNxzU/6+uFqG9U+UqTNnSFJUgiw9eVpm+kX4siT7+g8yPipeUtOmS3J0jMw8cD9/0kYu4Tue5eVcymIQ9JiKgA8IUE6KKgs8pLEMWDFN3l4Oxf1GIhmuIpJKsD7YNV5kWCq0RR4CyLGQUOSmhvsaTU3cp6hnUHWDOr2IrI9NHmNcxGjrEf+HYDqVd5jwcL9wT3HP4TrGnfvm62/kq25S3D1nt5x9kpCCFRLrPrI31AYme5q4f7QMfXU1+zuWSvj8RSzA9WHjaG9ZFwGBqKu//jrAvQW+mU+Ez8vunz6gpNrtZ7F8Xtax/ylbHmVekxt3n/lps7MeyoOs3EyQ7EeSee2G3Hu22H5Xtksey53fb8r9Yi12hc/Fdpe6QBFwEAL37t410i3jxowxMheeFRSs54qvn63eb2HKdUEqPRuZxuxDW+QhgD4eFWDCvRHbRwwc4QdYLSFxuEyxgBEHhzWMxEkkYHy9H4K13huvvGqsch0/7GAs9YQxUf8XlzMhHBRpKEupGSV8pXz1b960SbgorAuMOnyllVZOVwMlfKUMkx5OEVAEikGARBAsF2nTp5uScFgmrOeKP58ftG5jyB9urJ/37zf7ILtRW2QhQNlArFvh0pBdIWmDMCgEwQl1oLQZ1jZ/ru9grYuLlao7uHZJxiTRAsKJRAw1fEOdQR+McVPCFwwU/dzHLwd/yUf6EK0sjcYFSjZT8yZNjDZSaRxTj6EIKAKlgwATRyx0SFwQu4e2WaAvu6YNG5l9MCHF1URZrtKcmJYOYu46CmSpLLxKRaH8+PFjUwsY3Vr09bDQIUNETF0wkxuKuw/QvySujwx6PHFc98ToIRnDPYV1PRKaEr4yGkVIHynX1oWI0n6oZwhIQljHwxyuTRFQBCIbAeL1yBJExoUXvlUWy3oO+PNJJjCyGJTdunb1qskMxLWGhcPKZoxsNMO7d1iAkQYKdcMyh8Vry+bNJmEISRRiR5ESGTVihEl0IJ6UDNOSxKX6eu0Sj8exsGQzEUoenWTcrCRyUPKNJAy3NCV8ZTjS1CxEV8e6cAnk5GIkyDQUzXLXEPsTLlpMocBB96kIuBUBJpVIRaTPmGHkK8gutJ4/Jf0kKxjrCFmE6hJ21hVGtirj6+u7hfUhQrhU2ea3334zn7yzDhw4IDt37DBkDqschgQSD9CHa964ScAi475cf0xYIK7Vq1QxiUwkW5CIMqBvP5PcRBzf7JmzTIIGMXM3btwwFTmcNRpldzZK+MoO+7wjEztDFp7nBU+Ra5TCg9kIFiUOAbO1NkVAEVAEQIDEDYLKmWx2aNcun+fB85nkz3cyGwlc5wVDJiJSF7jp+GSSi1wVVkesPhwbi9DBAwfNyxorIrHGBLvzu7cGCeG5iXDtyuUrjDuQusYQEIL4iZXOvHWr0KZIZSF/g6wFE2DIry9/aNiRQckn21FF5eSJE+b8wmHyfOH8efN+Ie7TapA69OXQpcONimwYXqfSsLqhkUdWLMkVXB/RUVGChh7XA2NIbBxjuH/fPiOrgsBwqD1gFi6R/KmEzyGjixmcmoMN6tTNI37MZqgowQMqWPEzzIbCKXDXIcOjp6EIuAYBqgkQt0Qlj7iYQebFXBokwI5QEtdFBZCMtDRBQuPdt97Oe0babcPvPD/RSGOCC9m0KjMUtU2gy7CU9urR01g3eV5DXhHbRwwbYsNf25atTJWIL7r3kDFJySae7sTxE355W4h5I9MT6xUuSdz1EF70GyG6kF5w4hkPYUbWB4vc+rXrpMIb5YVQIgg2mayeIUWB9rvgdhA5jBf0G406RIHRjmP8IMmcO6Lj2soGASV8ZYO77VF52CKUSj1Bz5sJEzZxD4gwtm7RwmQLEZeAcjo3riXRQFUPMomYQTNLQoncszF7QmtLmyKgCCgCviKAdYX4L1zBZEtiqQsFYfB85rnpO+E8PLft/iCsSHmVFSZ5RK5Tp0JEzpIbUSLn691Udusp4Ss77Is9MjPFpJGjzIyJ+Bjrj+Bpf4KvIYFsW692Halfp640adDQ7JOZGCZ9bYqAIqAI+IsAXgeSN0gAw8JEWTesOtQ6NSK2FSvlUyMoK7Kix7Uv2fd2+TdNMg9SIzkWuXF5Fjklcv7eEc5fXwmf88fI6xliCSQgFTM5cSyY73ETYKrHDcPA9vjsczMT93RltGjWXObOniMUg8adEEh5Fq8npD8qAoqAIuAFAcJVkLWAHOIqJi6LDE7ckbj7cD/y7CKmjypEuG1xCRJPiEA0E1MsXMjMYGnCsujPhDdSCR96dGBBTVgm9HiBwAmyzXMe4t2nVy+TUIFrlUxZqk3g4iUZA/ewNnchoITPBePNjU1gMhlMlHPhAYjL19f6mi6ASLuoCCgCYYYASWiUoCI5AzJJYgKJFMSpIRWzfes2E68Gsfxq2TIT48bEeN7cuSYxgPAWSBBxb2R2UmuVP35jHWLiFi9cZKyXbL/iq+VGkxAtO8plEh+HhwQSRVwccWpkKENm0W9DvgbrJ8LBJJhwTjyHIbwkfkC8OFcm7UePHDESIUzC6QPEmKQ9ymwheUNiDeE59+7dExIvghXTHWZDrqdbQgSU8JUQwHDcnNk2afXBzgIORyz0nBUBRUARUAQUATcgoITPDaOsfVQEFAFFQBFQBBQBVyOghM/Vw6+dVwQUAUVAEVAEFAE3IKCEzw2jrH1UBBQBRUARUAQUAVcjoITP1cOvnVcEFAFFQBFQBBQBNyCghM8No6x9VAQUAUVAEVAEFAFXI6CEz9XDr51XBBQBRUARUAQUATcgoITPDaOsfVQEFAFFQBFQBBQBVyOghM/Vw6+dVwQUAUVAEVAEFAE3IKCEzw2jrH1UBBQBRUARUAQUAVcjoITP1cOvnVcEFAFFQBFQBBQBNyAQloSvaqXKplahGwZI+6gIKAKKgCKgCCgCikBJERgcHy9DBw8u6W68bv//vP4ahB/r16ljClcHYVe6C0VAEVAEFAFFQBFQBCIegf59+krSqNEh6WfICF+Pzz+X8WPHhuSkdaeKgCKgCCgCioAioAhEGgIN69WXVStWhKRbISN8M6ZNl04fdQzJSetOFQFFQBFQBBQBRUARiCQEHj58KC/8819y9uzZkHQrZIRv/7598tpLL8v9+/dDcuK6U0VAEVAEFAFFQBFQBCIFgU0//CAVXn9DsrOzQ9KlkBG+//3vf1K3Vm2ZP29eSE5cd6oIKAKKgCKgCCgCikCkIIBXNGnkqJB1J2SEjzOeN3eu1KlZS548eRKyDuiOFQFFQBFQBBQBRUARCGcETp86Zdy5ly9fDlk3Qkr48EfXqFJVJk5IDVkHdMeKgCKgCCgCioAioAiEKwJPnz6Vls3fl9jomJB2IaSEjzPfu2ePvPj8C3L0yJGQdkR3rggoAoqAIqAIKAKKQLghMHXyZEG7+N69eyE99ZATPs5+3Jgx8s6bFeTM6dMh7YzuXBFQBBQBRUARUAQUgXBBYOmSJfJSuXKyZ/eekJ9yqRA+ejEs8UtD+g4fOhTyTukBFAFFQBFQBBQBRUARcDIC8+bMMWRv65YtpXKapUb46A1CzLh3U8aNl7///rtUOqgHUQQUAUVAEVAEFAFFwCkIXL9+Xbp06mQkWLZv215qp1WqhI9e/bx/v9SqVt0kc8xMz5C7d+6WWmf1QIqAIqAIKAKKgCKgCJQFAufPnZfEwUOMRnG3rp/Kzd9vlupplDrho3d//fWXLF28WCgh8nK5f0u7Nm1l5PDhsnL5Ctnw7bfy/Ybv9E8x0GtArwG9BvQa0GtAr4GwvQbWrV0rC+cvkEHR0dKofgMjuwLR27VzZ6kSPetgZUL4rIPzSUzf3NmzhYLBzRs3kXq1a0vtGjX1TzHQa0CvAb0G9BrQa0CvgbC8BtAgbli3nrRt2cpY9TBoXb1yxZP+lPr3Mid8pd5jPaAioAgoAoqAIqAIKAIuQ0AJn8sGXLurCCgCioAioAgoAu5DQAmf+8Zce6wIKAKKgCKgCCgCLkNACZ/LBly7qwgoAoqAIqAIKALuQ0AJn/vGXHusCCgCioAioAgoAi5DQAmfywZcu6sIKAKKgCKgCCgC7kNACZ/7xlx7rAgoAoqAIqAIKAIuQ0AJn8sGXLurCCgCioAioAgoAu5DQAmf+8Zce6wIKAKKgCKgCCgCLkNACZ/LBly7qwgoAoqAIqAIKALuQ0AJn/vGXHusCCgCioAioAgoAi5DQAmfywZcu6sIKAKKgCKgCCgC7kNACZ/7xlx7rAgoAoqAIqAIKAIuQ0AJn8sGXLurCCgCioAioAgoAu5D4P8DyKwnlQgmT2wAAAAASUVORK5CYII=[/img]
Auf dem Schild zum Baumkronenpfad ist zu lesen:[br]„Der Baumkronenpfad hat ein sanftes Gefälle von [math]8\%[/math].“[br][br]Dabei wird der Baumkronenpfad vereinfacht als geradlinig angenommen. Die horizontale Entfernung zwischen Startpunkt und Endpunkt beträgt [math]160m[/math]. [br][br][br][br][b][size=150]1) Berechnen Sie den Höhenunterschied zwischen Startpunkt und Endpunkt. [/size][/b]
[b][size=150]2) Berechnen Sie den Neigungswinkel des Baumkronenpfads.[/size][/b]
Auf dem Schild zum Baumkronenpfad ist zu lesen: „Der Baumkronenpfad kann schwingen!“[br][br]In der nachstehenden Grafik ist das Auf-und-ab-Schwingen des Baumkronenpfads an einer bestimmten Stelle dargestellt.[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAmMAAAFXCAYAAADuy0lbAAAgAElEQVR4Aey9B3QUx/Y+uGf37P737P+933POAWNyBmEyxmDAgDEGDMYmGRsMThiHh7GJxgEMNsFgkjE5mGByEMiACAIJJARICCQECIFAIiggocRo/O25LXrU010zmp7QPQ23zhlNd/Wte2991dP9qcKt/wOcGAFGgBFgBBgBRoARYARMQ+D/MM0yG2YEGAFGgBFgBBgBRoARAJMxvgkYAUaAEWAEGAFGgBEwEQEmYyaCz6YZAUaAEWAEGAFGgBFgMsb3ACPACDACjAAjwAgwAiYiwGTMRPDZNCPACDACjAAjwAgwAkzG+B5gBBgBRoARYAQYAUbARASYjJkIPptmBBgBRoARYAQYAUaAyRjfA4wAI8AIMAKMACPACJiIAJMxE8Fn04wAI8AIMAKMACPACDAZ43uAEWAEGAFGgBFgBBgBExFgMmYi+GyaEWAEGAFGgBFgBBgBJmN8DzACjAAjwAgwAowAI2AiAkzGTASfTTMCjAAjwAgwAowAI8BkjO8BRoARYAQYAUaAEWAETESAyZiJ4JPpEyfi0L/vOyguLjbZE9/Mr1y9Htev3/BNicmlj52Ix/6ISJO98M18UVEx5v6x1DclQVB6a+jfOHf+QhB44r0L5P/W7WHeKwiSkvMWLAXdV1ZO+yOicOx4vJWrgGvXb2Dlmg2WrgM5/+eaDVJdLF8RP1eAyZifAdWj7mzyWTzzVAU88J+HJEJmt9v1FA8qWSZjwdEcTMaCox3ICyZjwdMWTMaCpy2YjInbgsmYGJeA56alpaFmtdro3vUNVHy2EqpXqYmhH38acLuBMsBkLFDI6tPLZEwfXoGUZjIWSHT16WYypg+vQEozGROjy2RMjEtAc29cv4GGDRqhX5/+CAv7G5UrVsWZpDN47tnnMWbU2IDaDpRyJmOBQlafXiZj+vAKpDSTsUCiq083kzF9eAVSmsmYGF0mY2JcApabm5uLVi1ewuuvdZXmie3atVsiY2Tw2LHjePKxpzF1yrSA2Q+U4mMnTuLWrfxAqTdE75UrGTifkmqIrUAZsdlsiDpyNFDqDdN7OvEMMjOzDLMXCEPkP9XD6onuJ7qvrJzOX0jF5SvpVq6C9Hyl56zV0/G4k8iz+LsiEG3AZCwQqLrRGRcXh+5de+DWrVuSlJKMUUbEgQj06vk2SkpK3GjhS4wAI8AIMAKMACNwtyDAZMzkllSTMZPdYfOMACPACDACjAAjYDACTMYMBlxtjsmYGhE+ZwQYAUaAEWAE7i0EmIyZ3N4+kzF7EXIzc1Hkt6gYJSjM8V1fSX4Ocv3nlNetVFLopR/Fuch0i2sxcjMzg6KOXoPDBRkBRoARYASCAgEmYyY3g69kLGfDO3ji/34aA7fl+acmtuMY26g1pqToY3dhu/chO+fmHR9siBkVgra/XoQ+Lf6pQpkWG46PbYTWU1LKstwcnUk+B3mCbM7Czvhf/+fj6Lc+R1gif9eHqPB//T9o/etF4XWnTFsC1s/eirMGTAO8ffs2Nm4JdTJvxZODkUcsP+GaJoxTPaye6H6i+8rKiSaN0+/byik7Owd/795n5SpIvlMdqC6cnBFgMuaMh+FnPpExezoWdquHvh++hsq9/kSmP7z3kow5h7YIFjJmx43oddh8wjOiqozAn7PwNdz/xJN4rtsiZGgYZTbW9auIJ598xDMylr8KvaoMxLYifzSQex0c2sI9PkZe5dAWRqLt3haHtnCPj5FXObSFGG0mY2JcDMv1hYyVnJ2KNg2/weEb69CvUifMTStjDfbsU9h/+AKc3v85iTgQlYJCqXZ25CSGYfG0Cfjx59+xOT67tBdLQ8bykbJvOab/+D0mzd2IE5l3bNizcWr/YVzIv4Zj62eh15t9MPH3Hbgs7ZoiImOFOB8ZiojkPLj1TaV34vcTMHNV5B29crPkI2XvMkz/8UdMXR6BtMJriAuPwWVBz1NuUgQizxcCHuhVk7Enew3HwBovY/p5Z8X2jEXoWvUt/HdAFbys7BnLT8G+5dPx4/eTMHfjCRBU9mtx2LVhJF56qiO+37ANkSml6AMucEUOEiNicbnEjtzkfdgQFo+sO22Zf+0Y1s+aiO8nzMSqyMsQbVDDZEy+R8z/ZjJmfhvIHjAZk5Ew/5vJmLgNmIyJcTEs13syZkPsmEZoOeEUSpCPHYOr4MXJSZBpQ3HUCNR/ZRbSy/gZbDGjENL2V1y025GxfiAaNO6DcbOXYeXv4/BGnboYvOkqoCRj9kzsGtEE1dsMxdRFyzDv295oWKcXFp8rAYqjMKJuI3Tt2xl9xszBx8M+xn9feR6V+69Fhl1FxuzXsHf8K2jYdSoO51BRN74VOutdsWoBxnapckcviN1gx5fNUL/LN5jz52osnvgO2nV9C22f74EVmjBnimFKlb8avRTnTbE3JfWMPdX/Lxz4pgEafxuHsihLJTg/vS1qfrQd2z4uI2P2zF0Y0aQ62gydikXL5uHb3g1Rp9dinEnciMkje6L2QyHo+804LDiUA7jD1RaDUY274bsZb6B+SCcMmBiGtEMjULdRV/Tt3Adj5qzAqgVj0aVKZfRfm6EZBmYyZthPt1xDTMbKhcgwASZjhkFdriEmY2KImIyJcTEs12syVrgHQ+t0wKzUUrZVtP9z1GgwGrF3WINbwmMvxIb+z6HnyrLhu8I9I/DS+2udyJgtZgwavTAKUXJnDuy4vLQH6r63CblEbmrejza/npUIoDRMmTwPPSv0wqpbCjJWlIw/BzVDi4/W4vydrhy3vhEZU+iVGiJr5R29QPGhr1C30Tgcc3QL2ZE2vzPu/1f38smYG71kR0vGNiLv9E9oWecLRMhdjLZ4fNckBCOP5GG3g4zZEDOmEV4YFXWn15FI42Us7VEX723KBVTDlG5xJTJW72HUGbIKFxR41by/DX5VTDrLWtkTFXqtQmm0urLblclYGRZmHzEZM7sFyuwzGSvDwuwjJmPiFmAyJsbFsFxvyVj2un6o3mMZrsk9X/QSr18Vn+4tZU5uCY/djtTFb6BSre4Ys2AHTly+VdbD4ugZu43kSS+iwbAtiE9IQIL8iZqItjWGIjyXerBaYGJSaV+cRMYuh+Hr+u0wI61YmsD/8g8bMLnTU7iv9XRQZ5qc3Pom9YyV6ZXKFB++o/c2Tv3QHE3Gxyt6qgBkL0aXh98on4wp/HXWWwqiiIwV2tMw99XqGLi1lLgWHxqOei1/wumSojIyVpKMSS82wLAt8WU4JSQgamJb1BgariJjJe5xvRWDUQ3qY2R0WV8c4VW3xUTcgfqO61+jfrsZUIxMS/lMxiQYguIPk7GgaAbJCSZjwdMWTMbEbcFkTIyLYblekTH7FfzR+RE8VLEGatWq5fhUffI+PP3uJuRCPBRYfHgE6kvDlFQ9G65ErcTkL9/Bq02qo3L9rvhuV4aiZ6wYh7+ug2ea9kS/fv2cPv0/nIOYvCiMqP8KZt0ZBy0oKIS9+AhGhbTFrxeJjNXBvx8KwYA5i/BZSFX0XXPZQfhEZMzhG5ExhV6pIYho3tEbPVKwSrNwPfo+7QEZc6m3lIzdvm2Ttqgim6XDlBulnq7MVW+h6psrcMN+C6GDa6DjHFolqiBjtsP4us4zaNrTGad+/frjwzkxKjJmc49rfmldp1+UWba4LcuGnJ1v1X/++Qf5+QXOmRY8KywqsvwuFLSLBtXD6onuJ7qvrJyKi29bfkWo3W4HPWetnqR3hb3s+Wb1+vjLfyZj/kLSSz3ekLGSpJ/RquoHCFPNkbJfnIOOz7yBZdfspfPDXp6GO6OYknd5a3vj8da/4qItHZF/7cBpx3vCjuzI0WhS7WMFGbMhbWY71Bse6TxRPD8em1dGIL0c0kShLVr+VDqHrTD2B7So3BUL7kyEl4iEK9/c6rXj2oLXUeW9zRLhlCG3HR+L+vd5MExZDhmT9dG3kozhViiG1OiI2fGr0Lv6m1h5gyQUZMyehpnt6mF4pGPsVFKVH78ZKyPSVWTM7h7XYpl4lj2sROTVFRlT1oGPGQFGgBFgBKyBAJMxk9tJPxmzIXpkfdT5SkWSpHrcwIqez6D9rFTYri3E65X74i853kVxMmZ3exL3SWTsMua9Wg1915RNALenzUeXGu8ryJgdJedmon2NPlh9RSYGxTg9vT1qD9qKPJoz5pLclA5TlsUZs+H0jPao1HYaThbTHHw3vpVDxuw3NuDdaiH4eOMFiSTaMw9hUo8GePox33vGlLeCExlDMSK/qofaLzRAtYFbUTpgqSBjKMG5me1Ro89qlEF1GtPb18YgGt7MX4velQdg051/at3i6ugFlDHX1zOmrAMfMwKMACPACFgDASZjJreTbjKW/zc+rNIE359UTMJS1CFv83uo2GwCTpXkYf/Y5qhYuwP6DxqAHh264osZX6JVe1pNCRSf+gN9G9bFS28OxMC3O6BxvZZ4f1mSExkDipG0fBCa1HkRb74/BO90boR6bUcj7Cop0EPGAJSkYHH3Kmg2noJguvGtHDJGVc2LW4rPuzRBg4ZN0KT12/gpdDEGVOqFVaqeQhqKdQR9detvGfGRoXQmY0BJwo9o/P9VwReOmfxKMkbjwklYPqgJ6rz4Jt4f8g46N6qHtqPDQFChJAmzOlVEtVav45uN10jYNa5MxuQm4G9GgBFgBO4ZBJiMmdzUusmYLn/tuJV2EtExCbhyS0s4UJKHK4nHEHPiHG44hiwFBvLTcTo2FidTs5yHLBWiNzKzYLOVTTpXXHJxWI5vrkpdPYYdB1OcJvDb02agbbWhCHdXBxf6lNk0NyY3t2yFqfKap8f56acRG3sSqVnOQ5ZEwHKupiMzX9EOHuDqqV1ZjuaVXL12XT617DdF6C6y+Hwr8v9uiDRO9xPdV1ZO9Lu2+lxKmtNKz1mrJ6oD1YWTMwJMxpzxMPwssGTMuOo4R+APnF375SV4o1o7/HQ4q3RBQNFZrH63JmoOC4emY0ynG8rVlDqLBo04r6YMmqYAr6YMnrbg1ZTB0xa8mlLcFkzGxLgYlstkTC/UdmRFzcPHXV5Es+bN0aRRC7z++TLEqwNu6VWrijPmRfGgKMJkLCiaQXKCyVjwtAWTseBpCyZj4rZgMibGxbBcJmOGQV2uIe4ZKxciwwS2hv4t9SwZZjAAhpiMBQBUL1UyGfMSuAAUYzImBpXJmBgXw3KZjBkGdbmGmIyVC5FhAkzGDIO6XEPzFiwF9bhaOTEZC57WYzImbgsmY2JcDMtlMmYY1OUaYjJWLkSGCTAZMwzqcg0xGSsXIkMErl2/gZVrNhhiK5BGmIyJ0WUyJsbFsNy7hYxFRB7xeSWiYaC7MHQh9SJOJ55xcdUa2bSiddee/dZw1o2XscfjkHHV2qtCaRXi0WNxbmppjUt0P+lbKR189TqdlIyUCxeDzzEdHt3MzcPBSAoNZO10MDIaN2/SPjGclAgwGVOiYcLx3ULGTICOTTICjAAjwAgwAncFAkzGTG5GJmMmNwCbZwQYAUaAEWAETEaAyZjJDcBkzOQGYPOMACPACDACjIDJCDAZM7kBmIyZ3ABsnhFgBBgBRoARMBkBJmMmN8DdQsZoUqavWwmZ3BS4kHoJNNHXykmawB9+wMpVkHyPPR5v+W2daAI/1cPqaXf4ActP4E9MSgYt0LFyogn8h6KirVwFyXeqA9WFkzMCTMac8TD87G4hY0ZthxTIBuLQFoFEV59uDm2hD69ASnNoi0Ci67luDm3hOVZWlGQyZnKrMRkzuQEU5pmMKcAw+ZDJmMkNoDDPZEwBhomHTMZMBN8A00zG1CDbr2H/tAFo16w5WrZsihe7foXViYVqKce5LXUbxr/VGs1avIiWzVqiy7CFiMm2O66Xd8BkrDyEjLvOZMw4rMuzxGSsPISMu85kzDis3VliMuYOHetfYzLm1IYlSJ7VEbW7z0W8NKRdgvSwL9EkZBh2i2LU2eIwoUVNvLUkCUWkx3YFf3/VBFX6/YUbHvIxJmNODWDqCZMxU+F3Ms5kzAkOU0+YjJkKv8M4kzEHFHflAZMxZbPaojGyYWtMOVuiyM3D1kG10WN5piKv9NB2bAwaNvsBp5TiucvRo8ogbJPYmaaIJoPJmAYS0zKYjJkGvcYwkzENJKZlMBkzDXonw0zGnOC4606YjCma1J4+Cx0ajkaMTZEJIGfZG6gzNLy090txyXbqT3y3IBrKLXTtab+hfZ0vcECZqSijPrxbyNj1G5m4fVsFnLqyQX5+Kz/f8qt87Ha75bcRotskKzsHhUUe/kcTpPcV+U/1sHqibanovrJyotV79Pu2cqLnKz1nrZ7uhndFINqAyZgCVVvcODRpPwNpqudO0Y4hqNl7Dcr9KdtSsKpfXbSenABXtKSkpASFhYWOz/btoaj0XBWFF3zICDACjAAjwAgwAvcSAkzGFK1tixmFhh1nI0NNxnZ/jJpvrnRLxkqu7MaPnWuj0cfrkaoctlTop8NlS5fjf/73fU6fB+57GNNmzMHcP5Y4fW5kZjmVpv/u1DJ0vmV7mJMcnUQcOiyUvXDxkpPsP//8I5T7c80GJzk6OR6XIJQ9eSpRI7vsz780svMXLdfInTt/QSNHdYo6clQju2FzqFA2v6DASZbiO4lwEm2gTXkiWdKhTPn5BUK5jVtClWLSceTho0JZqqs6zV+4XCO7/M+/1GI4mZCokSO/T8QnaGSp7UR1orZWJoqrJpKjTd/Vacu2MKGsOrYc3bMinTv/DlerRPi+CKHslfQMJ9miomKh3LqNW53k6CT66HGh7JnkcxrZhUv/1MguXr5aI0ex50R1Em0CvmbdZqGseqPtS2lXhHL7IyI19rfv2CWUzVb1uuXk3BTKUXl12n8wSih7Ke2ykyj98yiq++q/NjnJ0QnFVBPJnko8o5FdsnyNRnbBkpUaOWo3kc4jMcc0sus2bhPKqntYr6RfFcrt2Reh0blz116hrLqHKi/vllBu87adGp0Uk1FUJ9FG5iI5CiOkTnHxp4Q640+eVoti+ap1GtnfFyzTyJ1LSdXIkT+Rh2M0spu27BDKqnsjaahVVKe/9+zT6KT4dkpZjcBdlsFkTNGg9pQpaNP8BySoyFT+2j6oNThUM0xZWrQIZ9d/hXYNWmPo8niUF8ouNzcXZ8+ec3yWLFmKB/7zED4dOgzFxcVOH/XLk87VMnQuGh6kh6hIVjTcIJK7ffu2ApnSQ1c6S0pU7BVA8e3bAvtaneSPyD7ZUieqp0hWjZMrneoXIumnPE90Bg57AU5C7D3HSYy9dtzcFU6+YO8KJz3YG3aPFvsfe/rdiO4n9b3sCns9OKnve1fYi54Pru57w7AX4uTr88Ea2Lt6jnqKPf2+1cmVzmB7Nru6Rz2579V1vtvOmYwpW7QoFINr9YTzXH0bokeGoO30VGgpRyFOzHgNDTqMx+4rWvKgVO3qmOaMVXi6okTIoqO1/3G4Khds+fTfp+hhEmx+uvNHekEJHnTuygTbNXrYFRS4DsUSbP668od6w0Sk0JV8MOaT/1QPqye6n9TEz2p1IgIjeuFbqR70fFX38lnJf9nXu+FdIdfFn99MxpzQLMS+Lxqg5fgY3LqTb7+8Gn3qdsH81FIqZov7E99P2YLzJYDt5AS0avI1DpXXHeZkw/lEnsA/4quv0bxJC8u+gDgCv3O7mnVWOqS31CzzfrPLqyn9BqXPing1pc8Q+kUBr6b0C4xBq4TJmLppsg9hctcQvNCpPwYP6olW9VviozXnIfd75a/qifsqfoLwohKc+7kl/vXQ86hVq5bzJ2QoNnvYOSGTsby8PFSrXAO/zZil9sgS50zGgqOZmIwFRzuQFzRHcKtgPmfweOiZJ0zGPMMp0FJMxgKNsLn6mYwJ8bch+0I8Yo8nIkO9hNIWjwlDfkScq+WSQn2uM2UyRhKbNm7G4488ibS0NNcFgvQKk7HgaBgmY8HRDuQFk7HgaYv9EVE4ZvFN25mMBc/9FAhPmIzpRDU//GeMXpvq6CnTWVwjriRjdPGtN3tj6RLtyhZNwSDLYDIWHA3CZCw42oG8YDIWPG3BZCx42oJWexOx5OSMAJMxZzwMP1OTMatOgmcyZvitIzTIZEwIiymZTMZMgV1olMmYEBZTMpmMiWFnMibGxbBcNRkzzLCfDVE8nuycm37Waqw6imlEWyJZOVFohQ2bt1u5CpLvFOss7XK6petx+Uq6FO/P0pUAQPH9RKFurFSvYydOIkkQa85KdaC4cmG79lrJZaGvYbv33RU7Uwgr50MmkzEfwPNH0buFjPkDC9bBCDACjAAjwAjciwgwGTO51ZmMmdwAbJ4RYAQYAUaAETAZASZjJjeAJ2TM6gEXTYaYzTMCjAAjwAgwAkGNAJMxk5unPDL208RJGD1yjMlesnlGgBFgBBgBRoARCBQCTMYChayHessjY9FHovHgfQ+DvoM50Sbi6k1hg9lfkW+0QbVos16RbLDm0RY8h6Njg9U9j/1KTEpGZla2x/LBKEj+Uz2sno7ExFp2ZxAZe/pdX7nivAG9fM0q37du5eNEXIJV3HXpJ9WB6sLJGQEmY854GH5WHhkjh6hnLKT+Cygs9DCsv+G1ADi0hQmgC0xyaAsBKCZlcWgLk4AXmOXQFgJQTMri0BZi4JmMiXExLNcTMlZUVISGDRph5DejDPNLryEmY3oRC4w8k7HA4OqNViZj3qAWmDJMxgKDqzdamYyJUWMyJsbFsFxPyBg5ExNzVBqujIqMMsw3PYaYjOlBK3CyTMYCh61ezUzG9CIWOHkmY4HDVq9mJmNixJiMiXExLNdTMkYOjR/3HerVaYCCggLD/PPUEJMxT5EKrByTscDiq0c7kzE9aAVWlslYYPHVo53JmBgtJmNiXAzL1UPGiouL8duMWaDvYEtMxoKjRZiMBUc7kBdMxoKnLZiMBU9bMBkTtwWTMTEuhuXqIWOGOeWFoQsXL4Hmtlk5ZWXnWH4D25ISO86eS7FyM0i+01ZCeXm3LF0P8p/qYfVE9xPdV1ZOtDE1/b6tnOj5Ss9Zq6e74V0RiDZgMhYIVHXovFvImI4qsygjwAgwAowAI8AIKBBgMqYAw4xDJmNmoM42GQFGgBFgBBiB4EGAyZjJbcFkzOQGYPOMACPACDACjIDJCDAZM7kBfCVjmzZuxsWLF02uBZtnBBgBRoARYAQYAW8RYDLmLXJ+KucrGevbux86tO8Eu93cCbZr1m3G9RuZfkLFHDUn4hMQceiwOcb9ZJVW2i5YvNJP2sxTExq2B+cvpJrngB8s0xY8oTt3+0GTuSoWLFkZlCu49aASEXnE8lsJ0fOVnrNWT2vXb8b16zesXg2/+89kzO+Q6lPoKxnLzMxCtco1QBuKm5k4tIWZ6JfZ5tAWZViYfcShLcxugTL7HNqiDAuzjzi0hbgFmIyJcTEs11cyRo4e2H9Ais4feSjSML/VhpiMqREx55zJmDm4i6wyGROhYk4ekzFzcBdZZTImQgVgMibGxbBcf5Cxf/75B4Peex8Vnq6ItLQ0w3xXGmIypkTDvGMmY+Zhr7bMZEyNiHnnTMbMw15tmcmYGpHScyZjYlwMy/WVjNFcscGDPsD//O/7pM/jjzyJqxlXDfNfNsRkTEbC3G8mY+bir7TOZEyJhrnHTMbMxV9pncmYEo2yYyZjZViYcuQrGZv/+x8SCWvV4iX07/uOdPxapy6G12X9pu2g+WtWTicTEhF5+KiVq4Di4ttYunKtpetAzv+9Zx8upFo72jhFGv979z7Lt8WylWul+8rKFYk6chTxCaetXAXcyMzChs3bLV0Hcn7D5lCpLpaviJ8rwGTMz4DqVecrGQup/4I0X0zuDXv9ta4SIduzO1yvKyzPCDACjAAjwAgwAiYgwGTMBNCVJn0hYzRxn4Yn3xsw0KEyOjpGynujW09HHh8wAowAI8AIMAKMQPAiwGTM5LbxhYy9+857EvEiUqZMbV5qK+WfO3demc3HjAAjwAgwAowAIxCECDAZM7lRvCVj169dl4YnGzZopKnB8mUrJDI25ZepmmucwQgwAowAI8AIMALBhQCTMZPbw1sy9tuMWRLhmjVztqYGNJH+/v95EDSpn0JdnDgRp5Hxd0byuRQUFhb5W62h+miC7JV041ei+rOSJSV2nDp9xp8qTdGVejENN3PzTLHtL6PkP9XD6ulU4hnQfWXllJ5x1fI7hBQUFuLsuRQrN4PkO9WB6sLJGYF7kIzZcW3/NAxo1wzNW7ZE0xe74qvViSj/1sjBho+64IcjNicEC/eMQ6eXWqFVq7JP2xHb4OlrxFsy1vW1bhIZS09Pd/JHPpEn8o/8ZhSqV6kJ6kkLZOLQFoFE13PdHNrCc6wCLcmhLQKNsOf6ObSF51gFWpJDW4gRvufIWEnyLHSs3R1z40vpUkl6GL5sEoJhu3PFCFFu8TXErxmGkPuq4PMDxQo5G+K+bYNei1JApEj+ZGSXT+1kJd6QMdp/8NGHHscLIY1lNZrvObPnSmRt4YJFIGL2asfOKCkp0cj5K4PJmL+Q9E0PkzHf8PNnaSZj/kTTN11MxnzDz5+lmYyJ0bzHyJgN0SMbovWUs1DSkrytg1C7x3KItrkuPjgFfbq9ji5dOqLBk1VVZCwHy95sh5+SlNrEQLvK9YaMRRyIkIjW8C+/cqUWp0+dlmRokj8NW9aqXhvUSxaoxGQsUMjq08tkTB9egZRmMhZIdPXpZjKmD69ASjMZE6N7b5ExezpmdWiI0THOQ43IWYY36gxFuNspT5n4vXMtZzJWfAhftR6EFZHrMfvHsRg/dRG2J2RDz+wKb8jYxAk/SURry+at4la9k1u5YlVUrFAJtF0SzRuj3rS1a/5yW8bbi0zGvEXOv+WYjPkXT1+0MRnzBT3/lmUy5l88fdHGZEyM3r1FxmxxGNekPWakqehS0Q4Mqdkba/LFIJXmasmYPWMuOjxeFR0Hf4d5azZg9azh6FStJvquSHHqeVNqzcyfdw0AACAASURBVMnJkXqtqOeKPosWLsbzFSpJExppUqPyQ1sdKRORKrretUt3iYylXrwkndOwpTrdvm3DgDuhL47GHpPkli5ZhscefgIn4086iSttysdFRVpmarPZnPyTZWn4U03GqLx8Xf4WTfCnsvJ15Tf5r05UT6WMfEy4KBPhJl9Tfhffvq0Uk44pT5Y5EhOLPXsPSOeusJdl5W9X2MvXld+iYWLCRClDxyLsXeFEbaJMRMbmzF+i0Ul61YkmZatt07lR2N9WYK/0g7DfGvo3iMxQku97pQwdU13Vyd09qpYtFN2jgvveU+xJP/kk+3k6MRmbtoRK52rbrrEX3KPFZfeorJu+1fe9K5xoVwZ1coW9aKL+3D+WICcn11GvgGEvWADkLfZqnJRkzNXzgTBRJ+XzQakzMM8H5+c9+aK0eSntCpavWid8Pri679XPB9Jp9rN5xap1oLoo61bes5lk7/Z0j5GxGIxq2BGzM1Q3fdFufFzzTazUS8auRuGvrfFOk/VtJyehVfXBCHWha9nS5RKRkveSpO/HHnkSvy9cpvmotxfKzc2TZEj+2aeec8hv27FLc58ejIzGgPeGSLbeG/iBQ/azYV9A2aNGD3CR7dV/bdLoPBGfIJRNOJ0E+uQXFDjK0A9OrXfBkpWO6/LBuZRUjRyVI2KkTpu27hDKKu1SmavXrgvldu91jsdGsrvDDzhk5/2xFHP/WCqdX7t+w8l8fn6BQ05Zr01bdzrJ0cnh6Fih7PmUVI3sgsUrNbJEbNUp4VSiRo78iDt5ykmUXl6Llq4Syqpf3rRdj7Iu8vGhqGgnnXRC5Ei+rvzOzXNeqkIrUpXX5eOwXXs1OvfuPySUpRWttOIqOztHKkOEV9aj/KYtuNQpJvaEUDb5rDbm3uJlWpxEW0klJp0V6jx2PF5tHms3bHHIzluwFHPnL5HO1S/FtMtXHHLKOh04GKXRGRq2Rygr4yMXyMm5KZSj8uoUceiwUJZekspE99Oc+Ys1smvXb1aKScfHTsRr5Khup5OSNbK0xZKy3nS8aNkqjRy1m1qOzqOPHtfI0lZBIlkiHxcvXUbG1dJFTLSyUiQXvv+gRidtZyWSpftcmfLybgnl6HejTpGHY4SyF1IvqkWd5OYtWCb9o7Vq7UaNXNzJ006yss8nTyVqZOn5Il+Xv/9YtEIjd/6C+NlMW0up0+ZtOzU6SfetfOcXIT1X6Z9Fqotsm753hWufzXv2RTjJqG3ebef3Fhmzp2BKm+b4IUE1xyt/LfrUGoxQbWeQor21PWOKi2WHJefw80uNMe6Ec4+FLEAvRHrAyZ+dO8NAw4meJgrkSgTunX4Dyi1CQ5Mk++GQj8qVZQFGgBFgBBgBRoARMAeBe4uMoQihg2uh53Lnqfq26JEIaTsdqaoOM+cmUZOxEpyb1xd95zkvBoAtGiNDXsLP51SEz1mZ40zvnLE1q9dKBGvG9JkOHa4OiPA9/siToP0rOTECjAAjwAgwAoxAcCJwj5ExoHDfF2jQcjxibt1pEPtlrO5TF13mp0oT721xf+L7KVtwXsOl1GQMKD44HHXrfIKwGzKLK8b5xT1Qrd0MJGvKi28AvWRs1DejJTJGKyo9SZ06vCrJq4c0PCnLMowAI8AIMAKMACMQeATuOTIGZOPQ5K4IeaET+g8ehJ6t6qPlR2sc5Ct/VU/cV/ETwcpKLRkDchE9ux8a12mGbgMGol/npmjS9VvsSPOQiQHQS8bkYK6ekqtxY76VyNie3eGBv5vYAiPACDACjAAjwAjoRuAeJGOlGNmyLyA+9jgSM5wnGMIWjwlDfkSceMqXGOCiTKTEn0DS1UJdYS1ImV4yVum5KlJEfbEj2tx1f62XyNj0ab9qL97JmfTTZCQlJrm87skFmqiadWfCtSfywShzOvEMYmK1E4OD0VdXPtGqJNHiC1fywZq/98AhadJ1sPrniV+X0i6DFilYPa1etwmi1W5Wqhf9run3beWUlZUN0WItq9WJ6pCZlW01twPu7z1Lxlwhmx/+M0avTXUZmsJVOW/z9ZAx2tKIJuT36P6mx+bOJp+Vyrw3YKDLMp9+Mgx1atb1acskdWgLl8aC+AKtBtsfERnEHpbvGscZKx8joyQ4zphRSJdvRxnaonzp4JSglYgr12wITud0eMVxxsRgMRkT42JYrh4yFr5nr0Ssvh073mP/aPXmE48+hYYNGrksQ8vuu3Xpjpdbt0Ohl/FcmIy5hNfQC0zGDIXbrTEmY27hMfQikzFD4XZrjMmYGB4mY2JcDMvVQ8ZmzZwtkTFaUaknvdKuI/7zr/uRr4r5otRx8+ZNNGnUTAqZoY5HpZRzdcxkzBUyxuYzGTMWb3fWmIy5Q8fYa0zGjMXbnTUmY2J0mIyJcTEsVw8ZG/rxpxIZi4/TBpt05/Dw/46QykUf0QbzVJa7dOmSFPOMJv3rTUzG9CIWGHkmY4HB1RutTMa8QS0wZZiMBQZXb7QyGROjxmRMjIthuXrIWIf2naQeLr1DibTlEs01W7xoSbn1io09JsUm+2vtunJllQJMxpRomHfMZMw87NWWmYypETHvnMmYedirLTMZUyNSes5kTIyLYbl6yBht+l27Rh3dvh2OOiyRsa+Gf+1R2ejoGNy6JQdi86iItKOAN8Obnmk3Ror2m1PvOWeMZf9aoWC/Vk+0R6LV7yfyX7TXo9Xa5m64n+6G33bp/XQ3/LZLLP/bDsRvmMlYIFDVodNTMkbLmql3q/vrb+jQXipK88Go7GuvdtFdlgswAowAI8AIMAKMQGARYDIWWHzL1e4pGTty+IhEqEZ85Vnvltpw9So18fxzldXZfM4IMAKMACPACDACJiPAZMzkBvCUjC1ftkIiY3/MX+CVx9279pDKZ95w3pfTK2VciBFgBBgBRoARYAT8hgCTMb9B6Z0iT8kYxRajocZ9e/d7ZWj0yDFSeU/3tFQbSU1NRXp6ujrbcX4l/SqKi287zq14cDM3z/K7CNDcGIr8bvVEAS7zCwosXY2CggJQPaye6H6y+lxK2h2Eft9WTvR8pees1dPd8K4IRBswGQsEqjp0ekrG+vd9RyJTaWlpOrSXiS5dskwqv3DBorJMHUcUpb/xC02RmZklLMWrKYWwGJ7JqykNh9ylQV5N6RIawy/wakrDIXdpkFdTiqFhMibGxbBcT8lYi6Yt8ciDj3m9CiUqMkoiY1+P+MarulE4jVc7dkbrVi8jL0/7HyaTMa9g9XshJmN+h9RrhUzGvIbO7wWZjPkdUq8VMhkTQ8dkTIyLYbmekrEnH3sajRo28dov6tGSVmN27eG1DiJhrV9sg86dXtNsm8RkzGtY/VqQyZhf4fRJGZMxn+Dza2EmY36F0ydlTMbE8DEZE+NiWK4nZEzeILxXz7d98qvCMxW9ilOmNEqkrmnj5qAFAcXFxY5LTMYcUJh6wGTMVPidjDMZc4LD1BMmY6bC72ScyZgTHI4TJmMOKMw58ISM0TZG1KvlbVgLuWbt23bwKoK/XF7+JnL4QkhjvN2rt5wFJmMOKEw9YDJmKvxOxpmMOcFh6gmTMVPhdzLOZMwJDscJkzEHFOYceELGaGNwImNzZs/1yUl5b8uT8Sd90kOFMzIysHnTFoeeIzHHkJenL2q/o3CQHNCqseSz54PEG+/csNls2H8wyrvCQVQq/uRpXLf4SsTrNzIRd/J0EKHqnSsHDkaB7isrJ/pdW32VMT1fo48et3IzSL5THaz+rghEIzAZCwSqOnR6QsYmT/pZImM7Qnfo0KwV/XX6DEnPxg2btBc5hxFgBBgBRoARYARMQYDJmCmwlxn1hIx9/OEnEok6fcq3/7K3bd0m6fnl5yllDvARI8AIMAKMACPACJiKAJMxU+EHPCFjtKckDVPm5+f75G3i6URJz4dDPvJJj3GFS1BUaO3hEeOwYkuMACPACDACVkWAyZjJLecJGatTsy4qVqjks6e0+vG+fz8AmsgfqLRl81anVZbe2rEl/oG3GtRG05f7Y1Y8EzJvceRyjAAjwAgwAsGPAJMxk9uoPDJG25A88J+HpPhe/nC1do06AdkwPHz/QWRkXEPDBo3wRreemjhk+nwvQvinddF53mXY9RX0SZpWv8Un+DYU7JMDfih8+7YN23fs8oMmc1UciYm1/NYv6RlXcTg61lwg/WB9+87doPvKyol+1/T7tnLKuXkTe/cfsnIVJN/3HjiEnJyblq+HvyvAZMzfiOrUVx4Zu3z5sjS0+E6/ATo1i8Vff62rpC83N1cs4GWuHNriasZVNGnUDJ06vCqM1F+u+ltnEbFlMYbUq4q+szdjf5J//XRn/9iJeOyPiHQnEvTXOLRF8DQRh7YInrbg0BbB0xYc2kLcFkzGxLgYllseGZO3MRr1zWi/+PTFZ19KZOz48RN+0ScrkckYnWdlZUs9ebR1Eh3rSSWp2zFt+Guo8mgzDBw5DgujtFsv6dGnR5bJmB60Aiu7NfRvy/dkMBkL7D2iRzuTMT1oBVaWyZgYXyZjYlwMyy2PjMkxxubOmecXn36bMUsiY+vXbfCLPlmJkoxRHm2dRL1j1EtGvWV6UvG+Yajd5Q9c01PID7JMxvwAop9UMBnzE5B+UDNvwVJQj6uVE5Ox4Gk9JmPitmAyJsbFsNzyyNjUKdMk8rR923a/+CSHt5jyy1S/6JOVqMkY5dPm4j3f6IU+b/eVxTz4LsHZyS+hybdxMHqWCpMxD5rHIBEmYwYB7YEZJmMegGSAyLXrN7ByjX//iTbAbY0JJmMaSKQMJmNiXAzLLY+MycOKcXFxfvHpVMIpidx98tFQv+iTlYjIGF2jyN03dEVSz8XKN6vj/e1FsmrDvpmMGQZ1uYaYjJULkWECTMYMg9qtISZjbuGx/EUmYyY3YXlkjHqWKMYYbdDtj0S9VaTv1Y6d/aHOoeNmbh5KSkoc514fFO/HZ3Vew/yrRq6jLPW2sKgIBQUFXrseDAX/+ecfZN8FK5XybuWj+PbtYIDUax/If6qH1RPdT3RfWTnR75p+31ZO9Hyl56zVk9/eFVYHQuU/kzEVIEaflkfGmjVugccefsKvblWuWBU1q9X2q05/KSs5/wtaNx6HE0aPUfqrAqyHEWAEGAFGgBHQiQCTMZ2A+Vu8PDL27FMVEFL/Bb+abffyK1Lw19sm9jzcuiXeVDx31VuoPnAbCv1aY1bGCDACjAAjwAgELwJMxtRtY7+G/dMGoF2z5mjZsile7PoVVid6QA1yNuCjLj/giM4eHXdkjAgLDSlSbDB/pvcHDpH0nj17zp9qdenq+MqrGP7lV6CgtpwYAUaAEWAEGIF7GQEmY06tX4LkWR1Ru/tcxEtD8yVID/sSTUKGYbeb2KPF1+KxZlgI7qvyOQ7oXAHujoydSTojkSZ/7yU54ceJkl6y7a+kdx5AwskE1KhaC2+92dvnPTf9VQeeM+YvJH3Xw3PGfMfQXxp4zpi/kPRND88Z8w2/YC/NZEzZQrZojGzYGlPOKiei52HroNrosTxTKXnnuBgHp/RBt9e7oEvHBniyqn/JWPievRJp+uG7HwW2vc9auWKlpHfBHwu9V6Iq6Wo1pUrM6TQ9PR0tmrZEqxYv4cqVK07XzDjh1ZRmoC62yaspxbiYkcurKc1AXWuTV1NqMbmbcpiMKVrTnj4LHRqORoxqqDFn2RuoMzQcbtfiZP6OzrX8S8ZWLF8hkaZFCxcrvPT98GDEQUnvmFFjfVd2R4M3ZIyK0lAs9Y5VrVQdx44d95s/3ihiMuYNaoEpw2QsMLh6o5XJmDeo+b8MkzH/YxpMGpmMKVrDFjcOTdrPQJpqGlPRjiGo2XsN3C5S95CMpaWlYUfoDsfnp4mTUfHZSsi4ek3zmfTTZIk0he0Mk7ykbmqRXFZ2jqIWpYe5uXlCWYqkTT7QXLT+fd+RhEU6r9/Q9gTeys8X6qRl42oydv36DY3s1WvXNX7S0OCV9Ax8+cVwPPrQ4zh+Ik4ql5enneBPWyuJfFXPO6OFCSI52mhXnShPlqV9KXeE7ZHO1YsbSkrsDjlZnr5F2z2R70oZ+Vi0tJ4wka/L3yLs8wsKNHIkn5/vHIqD2nfO/CVCWXXdSVa2qfyme0ed6B5TysjH6nAmFFdOvqb8FoXbuHkzVyhLISGUZIzaV6lLPhaFe6HhTfm68rugUDvvU4Q9vfDUqaCgUKjzliBsxY3MLIfs0WNxWLdhi3SuDg1RXCzGXhS6INsF9oS1Mrl6PlB5dSI7SnzkY/JLmcjvOfMX49Kly07yVE91IjxkPcpvwk+dCGelDB0Lnw+FRRo5khU9H+h+UOukc7p/lBH46f4SydH9qE60obVI1lPshc/mPDH2RYLQG0rbp5OSsXTlWgifD/kung+CUD1UXqm39Fj8bNbKibF39Wym56Yy0YbzVAeqi1J3ec9mkr3bE5MxRQvbYkahYcfZyHC+f1C0+2PUfHOlX8gYbUNEc6XkDxGxJx57Gqv/2qj5fPThJxJpOhl/UvKSXjQiufD9BxW1KD2MPR4nlL18JV16OD1438PS8CA9bEU6t+3YpdGZmHRWKJt89ryGjG3etlMju3b9Fo3Oi5cuO+R+mTrDcXwiPkEju2vPfsd1pc/qFy29KJTX5ePIwzEanYeioh2yi5auwh+LV0jn6hc92ZD1KL93hR/Q6DwelyCUvZR2WSO7dv1mjSxhp06EsdKufJx45qyTKBGs3+YuFMqqCQHdC7Ie5Xfs8XgnnXQSvu+gUFZNSOjFr9QlH0ccOqzReTg6VihLL2olGaOXp6xH+R22a69GZ3zCaaHshdRLGtn1m7ZpZDdsDtXInUtJ1ciRHwmnkzSyoWF7HLJLV6wB9SqRrJq0ZmRcc8gp6xR9VNs7TP8kKGXkYzVxIxItX1N+7zsQqfEzJvaEUDZdtXUZ+U33E0VNV+qkeqrTqcQzTjKyPO3RqU4bt4RqZNdt3KoWA7WbrEf5HX/ytEY2bPc+oSwRTCUZo/tLqUs+pvtRnSIijwhl1SSL/imS9Si/w/dFqFXi2PF4oWza5XSNrFLX8lXrMPv3xdJvQy2YdEb8bD6TrF2ktWVbmMb+mnWb1SpxKe2KRo78OR5X+j5SFti994BQVk3EM7OyMef3xaC6KOtGz2F1ijx81ElGff1uO2cypmhRe8oUtGn+AxKUU8YA5K/tg1qDQw0fpuzV822JjKmJgcJlrw/r1a6PCs9U9Lq8uqC6Z0x93QrnPEwZPK2kJGPB45U+T3ijcH14BVJaScYCaSeQuolE8nZIgUTYXN1MxpT4F4VicK2ecJ6rb0P0yBC0nZ4KVYeZsiTg4TClcyHA3WrKls1exMMPPKou4pdzCpdBQ5Wu4n3pNUK9c6Jufr16zJSnlyf1rFg50TDAdkGvptXqdCQmFlfS9W0wH2x1pF4mUW9LsPlZnj/bd+4G3VdWTvS7FvXQWalONJS3d/8hK7ks9HXvgUOg4V9OzggwGXPCoxD7vmiAluNjIM9Ysl9ejT51u2B+aikVs8X9ie+nbMF5Ve9ZIMjY889VRt1a9Zw89NfJp58Mk8gYhZgI9kQhPjgxAowAI8AIMAJ3KwJMxtQtm30Ik7uG4IVO/TF4UE+0qt8SH605D5l75a/qifsqfoJw9dJKP/eM0QTR//zrfrzSrqPaQ7+c/zz5F4mMhW7XzpHxiwE/KUlJuSD1Do4f951m3o2fTLAaRoARYAQYAUbAVASYjAnhtyH7QjxijyciQ72E0haPCUN+RJyfeu1dDVNeunRJIkvvvvOe0ENfM1evWiPpnztnnq+qAl4++ki0tOChc6fXcO0eWFUTcEDZACPACDACjEBQIcBkTGdz5If/jNFrUx09ZTqLa8RdkbEjh49IZOmbr0dqyvgjIyoyStI/8ptR/lAXcB2ZNzLRrUt3VHm+Gg4dtP68iYADxgYYAUaAEWAELIMAkzGTm8oVGdu0cbNElmZMnxkQDyniPU3g79env1/0H4k5Joz94xfld5RQvCDayonCctAwqzpUg6+2KPQEhZCwcqLh7f0Ho6xcBcl3Cl1AseqsnCieU5wgBIPV6nTgYBTUcbWsVgf6XYtCy1ipHhRbTRT6xEp1IF+pDqI4cVarh7/9ZTLmb0R16nNFxmj4kMjSmtVrdWr0TJyIDJGal1q29qxAOVJGhrbYt3c/unftAVGQxHLcdHuZQ1u4hcfQixzawlC43RrjCPxu4THsIoe2MAxqUwwxGTMF9jKjrsjYt2PHS2TswH5tUNGy0r4d0UrN55593jcld0obScb84rBACZMxASgmZTEZMwl4gVkmYwJQTMhiMmYC6AaaZDJmINgiU67I2AeDP5TIWPKZZFExv+S99moXyUZ+vnqVgn71TMb0YxaIEhSBf+4fSwOh2lCdTMYMhdutMSZjbuEx7CKTMcOgNsUQkzFTYC8z6oqM0WR1GqbMy9PuE1hW2rejjz74WLKRlKjd1kWv5mAhY74MXXLPmN5WD5w8k7HAYatXM5MxvYgFRp7JWGBwDRatTMZMbglXZKxp4+Z4/JEnA+rdxAk/SWTs77+1+1DqNRwMZIyIa/UqNTH7t9leTe5nMqa31QMnz2QscNjq1cxkTC9igZFnMhYYXINFK5Mxk1vCFRmjuVz16jQIqHfLl62QyNiihYt9tkNb1xQX3/ZZj68KKIhtpeeqoFOHV3HhQqoudbTxsnoDYF0KgkCYVpxafdUYwUgvnvyCgiBA1HsXCgoKpHp4ryE4StL9RPeVlRP9rtUbq1utPvR8tfoWYYR5sLwrgq39mYyZ3CIiMnb79m2JJHVo3ymg3tGqRBoK/e7b7wNqx2jlFJOsf9938MSjT8EfRNNo/9keI8AIMAKMwL2FAJMxk9tbRMbS0tIkkjSg/7sB9e78+RTJzqCBgwNqxyzla9f8hWefqoDur78B2tGAEyPACDACjAAjEIwIMBkzuVVEZCwm5qhEkr4a/nVAvSsuLpb2vwx0D1xAK1GO8oyMDLzTbwD8sUihHFN8mRFgBBgBRoAR8AoBJmNewea/QiIytn3bdomMTZ0yzX+GXGiqXLEqalar7eKq59klJXavJs17biHwkjQvxupzYwilkhJ5W/vAYxYoC9QO/t5hIVC+utJL/vP95AodY/Pvht823U/0nLV6uhveFYFoAyZjgUBVh04RGVu4YJFExlauWKlDk3eibV5qi/v/50GfXxrBsJrSOwTKSvFqyjIszD7i1ZRmt0CZfV5NWYaFmUe8mtJM9ANvm8lY4DF2a0FExuSQE3Qt0ImG8GgSP81T8yVZkYzRPLKIAxGOajMZc0Bh+gGTMdObwOEAkzEHFKYeMBkzFf6AG2cyFnCI3RsQkbHPPv1cIkjxcfHuC/vh6uiRYyRbUZG+bS5tNTJGYS+6vPq6NGeuWuUaWLFsJZiM+eGG8pMKJmN+AtIPapiM+QFEP6hgMuYHEINYBZMxkxtHRMbe7tVbIkjXrl4LuHdzZs+VbNHKQ1+SlcjY/n0H8PQTz0j1fuA/D0nf1DvYpHFz7NkbuL1AfcHX07K8HZKnSAVe7tz5C9i6PSzwhgJsgclYgAH2UD2TMQ+BsqgYkzGTG05Exvw1j8uTqm3ZvFUiI9OmTvdE3KWMVcgY9TY+9vATePC+h6UYZDTZnVZa1q5RR8Lh6SeeRfSRaJf1DPYLTMaCp4WYjAVPW+yPiMKx44EfaQhkjZmMBRJd83UzGTO5DURkjIgBrXI0IsXGHpNIyJef/9cnczSsFOzR62lFVZNGzaT6btywyam+2dk5qFu7vnSNyFpOTo7TdaucFN++jdV/OdfNKr4r/dx74BAuXrqszLLcMUWu37v/kOX8Vju8et0m0H1l5RQTexynE89YuQrIysrGth2+b11nNghUh8ysbLPdCDr7TMZMbhIRGXv0ocfRvEkLQzy7cf2GREB69XzbEHtmGlmxvHT7pyHvfyh0I/F0Ih558DHQVlS3bt0SynAmI8AIMAKMACPgbwSYjPkbUZ361GSMNrum+UvdunTXqcl7cSIgRpE/7730rWRRUZEUT+2h+x/BxYsXXSr74bsfJfx/nvyLSxm+wAgwAowAI8AI+BMBJmP+RNMLXWoydvbsOYkMDB70gRfavCtCG5I/+/Rz3hW2SKlZM2dLuH494hu3HtPwJG2hRBP8aVhAmajnbG/4PmUWHzMCjAAjwAgwAj4jwGTMZwh9U6AmY5GHIiXSMGbUWN8U6yj92qtdJJv5+fk6SllHlCbpV3m+mrRxOA3LlpdoMQP1To4b862T6J8r/5SGMWmvyxMn4pyu8QkjwAgwAowAI+AtAkzGvEXOT+XUZGzTxs0SEZj5629+slC+mg+HfCTZPJPk/QTXhNNJKCgoKN+YCRJhO8Ok+lH8Nncp4+p10KRrqkel56rgycee1swdo+C4H33wMSgkxrvvvIdz5867U2n4NSKeFC/N6unsuRTQogorp+ycm6B6WD0dO3HS8lts0e+aft9WTvkFBTh12vtndLDUnepAdeHkjACTMWc8DD9Tk7H5v/8hEYdVf642zJcfv58g2dyzO9xrm8Ec2kLeZaC8kBXKoK/y3LEli5cKMaFwGH3e7iuRsk8/GQZPetyEivycyaEt/AyoD+o4tIUP4Pm5KIe28DOgPqj7c80GUJgOTs4IMBlzxsPwMzUZm/DDRJ+Jkd5KLF60RLK5bOlyvUUd8sFKxqh3hSbth9R/weGrqwMlGaNJ/v/51/14qWVrV+JSfkzMUfTr0z9oQmEwGXPbXIZeZDJmKNxujTEZcwuPoReZjInhZjImxsWwXDUZk7dCOhl/0lAfaI4U7YnpbQpWMib3NE75ZWq5VVOSMRJ+o1tPiaRaaX4Yk7Fym9kwASZjhkFdriEmY+VCZJgAkzEx1EzGxLgYlqsmYzT0RcTIiK2Q5ErSKkGy+clHQ+Us3d/BSsZebt1O6uG6fLn8AKJqMrZt6zYJl/LmmrkDy8h2JD+YjLlrwfUE8QAAIABJREFUDWOvMRkzFm931piMuUPH2GtMxsR4MxkT42JYrpqMtXv5FYk8ULR4oxIFOCUy5ktss2AkY0SEqF4d2nfyCEo1GZNXYVKYi+LiYo90KIVOJZyStl36+MNPkHwmWXkpYMdMxgIGrW7FTMZ0QxawAkzGAgatbsVMxsSQMRkT42JYrpqMUcyvihUqGWZfNkSE44WQxvKp7u/ks+dRWFiku1wgC8gR9z3dd/P6jUxcSb/q5NJXw7+WCN3OHTud8j09oTllvd/qg/v/50Fpwv/Ro7GeFvVKjgjk3bDiKvViGm7ezPUKg2ApdDM3DxcuXgoWd7z2g+4nuq+snOh3Tb9vK6eCwkIk3wWrc6kOVBdOzgjcg2TMjmv7p2FAu2Zo3rIlmr7YFV+tToTLW8N+DfunDUC7Zs3RsmVTvNj1K6xOLJMu3DMOnV5qhVatyj5tR2xDnjPOLs/UZOypx59B4xeaupQP1AXas/GJR58KlHpT9Pbv+45EpKiHytskx337YLB4CyVP9dLqS9JBITFe7diZg8d6ChzLMQKMACNwDyBwz5GxkuRZ6Fi7O+bGl9KlkvQwfNkkBMN2i/4LL0HyrI6o3X0uSsVLkB72JZqEDEOpuA1x37ZBr0UpSE9Pd3wyssvIWnn3kJKM0ZY9NKzWudNr5RXz+3V5srrVYzvJwNhsNhCxrVmttpzl1fc///yDqpWq45knn8VtP2yWTHHKRo8cg3lzf/fKHy7ECDACjAAjcPchcI+RMRuiRzZE6ylnoex0z9s6CLV7LIemE9sWjZENW2PKWSdpbB1UGz2Wk3QOlr3ZDj8lKa/ru0mUZOzSpUsSGaNgokanYUM/k2wbuYozkHU8sP+AVJ8vPvvSZzPD/ztC0kXBYzkxAowAI8AIMAL+RuDeImP2dMzq0BCjY2zOOOYswxt1hiJcNeXJnj4LHRqOhlb8DdQZGo6i4kP4qvUgrIhcj9k/jsX4qYuwPSEbeqbeK8lYbOwx6aVPL3+j0+RJP0u2vZ0bZbS/5dmj3ifqZfRHfQ4dPCTpop0KAp1ojllUZFSgzbB+RoARYAQYgSBC4N4iY7Y4jGvSHjPSVHSpaAeG1OyNNaqtGW1x49Ck/QxoxYegZu81yMuYiw6PV0XHwd9h3poNWD1rODpVq4m+K1Kcet6U7U1hJObMnuv4fP7Zl6jwdEWcST6HRYuWSi/9EV+NlM5pZZwy0TAZyak/l9KuKMWkY4pwrJaj81u3nCtJw3CUP3Xqr5Ltnyb+LJ2nXLio0ZmVnSPUSdu+rN+0HZmZWY4y51NSNbI0yV+d8vJuaeTIH9Fk24uXLgtlaUhSmWghQYO6DfHwA48iLj7BUSY9w3lyPpWhib0yTrvDD2Bb6C7pXLkYgTCqXLEqnn7iWSQmJTvkqRxts6JO5LusU/lNdVUnwkQpM3bseClIbdPGzfHH/AXIyysdTieMlXLyMbWJMhUX38aCJSuFsko5Os67lS+UE0XHpntMtqn8vn3bGXu6Z5XX5eMrVzLU5pGRcU0oS9tR/b1nHy6klk5+LymxC+Vokr863cjMEsrSZHp1oq2KZP/kb1oBqU60kEC+rvzOVG0kT+XIZ1nmYFQ01m3cKp2rV0fn5xc45GR5+r56Tbtlz+Ur6UJZamtlKnbxfEi7nK4Uk47JjtKufEx+KRPd+wsWr5QWhcgy9C23jVKW8FDKyMc5N28qxaRjwlm+Ln+Lto7Kzc3TyJE8tbM60f0g61J+0+KDqCNHEZ9wWipSUFAolKP7UZ2upGcIZWlKiTLR70BpUz7W82ym36M6yXro++ixOKxYtQ66ns2q5wPpP3/Bx2ezIHo+PQeVvsrHmmdzURFWrFov1UWWoW/1winyk57XShk1Nnfb+T1GxmIwqmFHzM5Qk7Hd+Ljmm1ip+i3YYkahYcfZ0Ip/jJpvrkTe1Sj8tTXeabK+7eQktKo+GKEqXfKNExb2Nzp1eNXxoZfuk48/g9CwPfj669LenP/+9xvpnB5EykQvKZJTf47EHFOKSce0AkotR+fqhz09bCn/5ymlZGzAgEHS+f6ISI1O+hGLdNJDUB3aInzfQY3szl3a7ZboByfSmXTmrMZ+5OGjQlk1aT177rxELJs3fdFJ/nicNpAu5cn2acn10pVrpfOcHOcXiLx/568z5jjkqRz5pE6JSWedZGT9IjK48+9wjezmbTswY/pM1KtdX9ofk4Zad+7cpZEjveoHM2Exa94ioSy1tTLRvSD7pvw+lajd/+5ITKxQVr0fKZEepS75OPa4dmP1uJOnhLJZWdnYGvo3ZGJELzpZj/L7YGS0sjrSMZFbpYx8TIRGnYjwydflbyLk6kQvVPm68ltEHiIOHXbIrl2/BQuXrJTO1asRibArdcnHJxMS1eYRE3tcKKt+edM/WrIe5TeVV6eEU4lCWfU/QUSEZ81bKP2TotR54KC295baSykjH4v+Ydm994BGNmz3PrWboHaT9Si/6SWtToeiooWy9E+sMrQF3V9KXfJxXLx2oU/s8XihrJrc0+pAWY/y+3C0dvX06UTxs1m0d6ZS18YtoZi3YBn2HTikrrr0HFDKysei1bzh+7XP5h1/a5/NRE5lPcpver6pE5FdpYx8XKgirUTMqQ5UF1mGvmn/U3U6EZfgJKO+fred31tkzJ6CKW2a44cE1Ryv/LXoU2swQp3/2YE9ZQraNP8BWvE+qDU4FCrx0nuj5Bx+fqkxxp1w7jFwdeMohymnTyslRFu3bHUlHrD8s2fPSQRmyPverRpUk7GAOeqB4vXrNkh1+XnyLx5Il4mo44yVXQG2bN4q6fzu2++V2QE9JvJE94e8ByYFoS0vERmb+4d4P83yygbTdSUZCya/9PhC5GTrduvPM5y3YKkUTFhP3YNNVknGgs03T/2hHuuVazZ4Kh60chxnTNw09xYZQxFCB9dCT2nyfRkgtuiRCGk7HamqDjMUhWJwrZ5wFqdFACFoO/08kuf1Rd95zosBQJP+Q17Cz+dUhK/MnNORkoyN+ma09MI/HHXYScaIk8LCQsm2tys5g4mMfT7sC6kueudeuSNjNFz44H0Po3mTFkY0h8bG1YyrUA+NaIQ4Ar8IEtPymIyZBr3GMJMxDSSmZTAZE0N/j5ExoHDfF2jQcjxi5Ok79stY3acuusxPlSbe2+L+xPdTtuC8xKUKse+LBmg5PgZl4qvRp24XzE+1o/jgcNSt8wnCbsgsrhjnF/dAtXYzkOwZF5N6Pmg+EqXBgz6QSMS5c9q5VeLm829uhWcqgoLOepOCiYw1bNAIjz38hO5QFO7IGGHy+mtdpfbxZGslbzD0tkz0kWikpqZKxblnzFsU/V+OyZj/MfVWI5Mxb5HzfzkmY2JM7zkyBmTj0OSuCHmhE/oPHoSereqj5Udr7pAvIH9VT9xX8ZOylZXZhzC5awhe6NQfgwf1RKv6LfHRmvN3JujnInp2PzSu0wzdBgxEv85N0aTrt9iR5iETA5zIWPeuPaSX/U3BhFdx8/k3t0XTlnjkwce8Urp63SbhpHuvlPlQKPNGpoTha6920a2F5ijQnB9XafZvsyXdCxcsciViSj7tKfqff92Pjq+8CvLttzl/mOKHP43SPBJaBGLlJM2x3LnbylWQfKcJ/N5sBxZMFY+IPILjcQnB5JJuX2g+35p1m3WXC7YCVIfrgkUAwean0f7cg2SsFGJb9gXExx5HYoZqpr0tHhOG/Ig4pylfNmRfiEfs8USoxSVtRZlIiT+BpKuFusJaUFnlMOWLzVtJKwCNvglke716vi2RDSI0Vk3y5t4Tfpjo9yrI8+oIp2BL1Js64ceJqFurnnQP0TyzTRs3ezS0GWx1YX8YAUaAEbjXELhnyZirhs4P/xmj16a6DE3hqpy3+UoyVr1KTdDHrPTl5/+VyFhcnHblm1k+6bUrxxfbs1u7OkivLpE8DeM+/siTuodARboClUfDlsO//ArPP1cZ+/buD5QZ1ssIMAKMACPgJwSYjPkJSG/VKMkYxcWi3jGz0pRfpkpkLHR7qFku+Gy3bZv2uO/fDzjic/msUKWAwkxQMFmK8B/sicIpqMNZBLvP7B8jwAgwAvciAkzGTG51mYzRaj16yXd//Q3TPFr152rJh/m/W3POEc1rIUIbyBWPFHaE2snIEBeBuCEmTvgJ7w8cAqqPOlZYIOyxTkaAEWAEGAHXCDAZc42NIVdkMpaSckF6ydML0qwk7+f47djxul2g4IKehF7QrVhHgejoGAnDzz79XEepMlGKZi+KPl8mAeTm5uKB/zyEl1q2VmYHzTEF6RQFI1U7SFs8ffrJMFSsUAmPPvQ43u7VG8uXrcCNIJlYS8E+RTsWqOsRzOfkvyjYbDD7LPKN7ie6r6yc6Het3q3CavWh56soiKvV6hEM74pgxIzJmMmtIpMxmudDPS7ffD3SNI/On0/xmhAGQ2iLObPmSP6vWL7CKwzLC20hK2338ivS6sVswVYjsoxZ33pDW9A2PZGHIkFz7erXDZGGeJcuWWaW+w67HPTVAYXpBxz01fQmkBzgoK/B0Q6B8oLJWKCQ9VCvTMZonhaRMZq3ZVai/7zIB9quSW8KBjL23oCBkv9nkrTb+XhSH0/JGK3UJJxotWKwJb1kTO1/UmIS0tO1Wwep5QJ9zmQs0Ah7rp/JmOdYBVKSyVgg0TVfN5Mxk9tAJmPLli6XXvBm90rQsBWFR9CbgoGM1alZF888+azXk9Y9JWMHIw5KbUWT+YMt+UrG3NVnR+gOdOn8urRSc9HCxTibrN2jzl15PdeYjOlBK7CyTMYCi6+n2pmMeYqUNeWYjJncbjIZmzZ1uvSC375tu6ketWz2olexzswmY5mZWRJ+FCXf2+QpGaONhym8RYN6Db01FbBygSJj8XHx6PpaN2l4lnoF5Q/hMKD/u7iQcsGvdWIy5lc4fVLGZMwn+PxWmMmY36AMSkVMxkxuFpmMyftSHjl8xFSP3nqzt/SivX7tui4/zCZjhCMRhPHjvtPlt1LYUzJGZWjVK9kLtq2R/E3GKDTGpJ8mS3PJqL5NGzeX5jWOHTMO7dq0lxYzUD7t3KB3L1Al9upjJmNqRMw7txYZK0F+diZu3Ljh9NmybSfC90Ygt6ichQglhcjJLdIdvFvYOr7qKs5E8uFw7Ao/jFOX85Du6UbhJfn+q4OwYqrM4jxk33KKkq4ScD7l7ZCc8ZDPmIzJSJj0LZOxIe9/KL3czdqXUq7+f78YLvlx/PgJOcujb9pq5Fa+ajcDj0r6R2jypJ8lvzdv2uK1wivpGUi5cNGj8tOn/SrZ+3Plnx7JGyVEscUOR8f6xRxN7h/03vtSPatVroGdO3Zq9Obk5GDMqLFSjxmFFVn313qNDAWe1bvYITEpGZlZ2RpdVsog/6keVk9HYmJB95UlUkki5vZtjsaNGzt96tWrhaf//b/Qerr7LbZsx8eiUespSCHOZkvA+tlbcdZd1YuOY9Vv25AikHHSpQs8O9J3jMbLVauiebf+GPjeW+jQoApqvToSs3aVH5DbFjMKIW1/xcVyeKcul9wI5y9/A1WGhLmRcL5E287dumXeu8LZm+A5YzJmclvIZOyNbj2ll55Z+1LKMMjDpbStkJUShWagHpq0tDRD3I6NPSbZ+2Dwh4bYM8MIba9EmL7cuh3K2yIrLOxvPPHoU5K8cu/OwsJCVK5YVSJr1KtGZH/tmr+CrkfRDHzZplEI2HFt+0do0PBz7Mpyz1DsN6KxbvMJ5JFr+avQq8pAbCty7acteiRC2s9EmkCtky7XKrRXcrdgYJWmGHdE8qL0uj0T4cND8PTrC4S2lEqCnYwpfeXjMgSYjJVhYcqRTMYobtWD9z1sig9Ko6tXrZFeqPPm/q7MDvpj6rmh7X+MStRrRIsFalarbZRJQ+3s33dAIlA1qtZCloc9VLSN1nPPPi8NaarnPiafScbiRUsweNAHoIUWRPIIO9rvkxMjEEgEbGf/QLeabTElTsGq8lOwb/l0/Pj9JMzdeAKZMpnKTUJE5HnkX4vDrg0j8dJTHfH9hm2ITClUuZiP84e2Yc3wFniu22Rs3B2vug7gjq5CezZO7T+MC/nXcGz9LEz8fgJmrorE5WJtEcqxxY5BSMhoxKpH/rJW4b0XPsFW2RUXdRCRscLzkQiNSMbN7FPYf/gCFEgAOYk4EJUC2lk5+9R+HL6Qj2vH1mPWxO8xYeYqRKocLbp4ECtnTMAPk3/HlpNZyFP1jOWn7MPy6T/i+0lzsfFE5p0hX890ixG5N3KZjJnczjIZq1W9NqpWqm6yN4C8UnDs6HGm++KpA9euXpNe7t279vC0iF/k5N44Cth7NyWaL1jl+Wq4/38e1D0PjALvUhBZ+hw96nq4lMJnbFi/EbRrgihduXIF9OHECPiEQF4kxjWvjb6r0xzzwOyZuzCiSXW0GToVi5bNw7e9G6JOr8U4VwLIQ4tnkzZi8sieqP1QCPp+Mw4LDuU4u1FyETt+HYmetR9Bw34jMXbmLufrRKrkIc/CKIyo2whd+3ZGnzFzsGLVAoztUgWV+69FhkwClaUz16B3hfr4eBMRJHFyWwenYUo7ru0dj1cadsXUwzkojhqB+q/MQrrCbhl5K0bUiLpo1LUvOvcZgzkrVmHB2C6oUrk/1t5xNOfAWLSq3Q6fz1iBtStm4qvuHTFkQBtUloYp7cjcNQJNqrfB0KmLsGzet+jdsA56LT6HEpSvW1zTeyeXyZjJbS2TMVqV1qxxC5O9AS5cSJWIzcB3B5nui6cO0BAZ9bR8P/4HT4v4RU4OMmt2OBK/VOaOEpqwLy9O8DbmHQ1x/+df96N2jTqgOWXeJDmWG/V49n6rD36e/At279rjcS+dNza5zF2GgD0dGwbWQaOv96HsLrQhZkwjvDAqqozo2C9jaY+6eG9TbhmBIrJS3jClLR7jm76MaRcUzEYBoRMZq3k/2vx6Fo6pZVkr0bNCL6y6pSjgOLQjI3wS3n7hGTxesSE69B2GH+ZtQky63J9VTh0cZKwIyX8OQrMWH2Ht+dJ/esonYzVxf5tfFfPksrCyZwX0IkdLEjCheS18slsxfFp8EhOb/xtPExmzxWBMoxcwKqqMQtovL0WPuu9hUy6RMTe6HXW/dw+YjJnc9kTGKj1XRSITFMPJ7ERhG+hF2qF9J12u7Ny1F9k5N3WV8ZcwvaiJjPkyeZ98OZN8DrSi0tN0Mv6kZHfQwMGeFgm4HLXfhs3eh0eZOmWaVKduXbp7Ha+NKkmrWqlN3uk3wKs6R0QewbFjJ6S9M2kfUPLn2acqSDppsYsVEm2FFHHosBVcdevjhs2hoPvKWqkYp37rhBqdfsOpYuDYiZNISj4HlCRj0osNMGxLPBISEhyfqIltUWNouD4ylrUE3Rt8gQhx526ZLqlnrAUmJjmoGFB8GF/Xb4cZoslmDqDtuJUWi9ClU/D1u+1R5ZFnUL//NNy4XU4diIy9/AM2TO6Ep+5rjenU5XcnlU/G6qLFxKQy0ohiHP66PtrNSIP9ym9oX/Mz7HeqbwmSJ7VAxSFhKEmehBcbDMOW+DJcExKiMLFtDQwNz5V63Uh36O59d7amKtMt+3cvfzMZM7n1iYxVfLaS9JJ59533TPam1DyRQ+rV0JPMDG3R5+2+En6pqe5XSpVXHz2hLUgX9SLRHKlgGF6W6+ZLaItTCaekoUmacK83tIlsX/622WygbaOIkFFAY73JVWgLGhImP12l32bMwsYNm6SAtNQ+ZqZz5y9g63bPV5mZ6as729YKbVFak5x9I9CozkBsuDMetz8iCseOxwO2w/i6zjNo2rMf+vVTfvrjwzkxZQTKg56xovBPUf+tP5HrAjynnrH6r2CW89ggRoW0xa+aJY92ZMXtwI74bMewqqz+yvGFaPnYE/hsT4T7OsSMQp1/P4SQAXOw6LMQVO27BpfvdN6JyFjx4RGoL62+pN6r+nhlVrrCtg0xo0LQ9teLKEn4Ac2afY+EMm4nuZb1R2dUGhIG2+GvUeeZpujphGs/9Ov/IebE5Dl0r1iz4c4ewGW65Trey99MxkxufSJjFZ6uKL20hn/5lcnelJqXFxPoeZmZScZoQvizTz/nM3Z6yRgZ7Nu7n9R2wTIR3RcyJq/oVU++9xbYixcvSsFxqUdLL7lzRcbc+UKLKoiY0z8SRAIfe/gJtG71Mj75aChoSNnomHBMxty1VuCu2S/+iT61mmNsZNlwmoOM2dMws109DI906t5BfvxmrIxI10HGSnD+l9Z4aVKyohfJuU7ekbESJE1sjucG7ygbRr2j9tr1VHza7H50X3rGfR2oZ6zlT5A64gpj8UOLyui64LzkpzQ/7OVpSFWMrOat7Y3HW1MoDPdkDFmL0a3ye9jsNLRqQ8zoenhuSBjsaTPRrt5wOEObj/jNKxGRXshkzPn20JwxGdNAYmwGkbFnniwdfpk44SdjjbuwRnN06GWWkZHhQkKbbRYZozlJ5GvnTq9pndKZ4w0ZmztnnmSfVgoGQ/KWjFEsMMLRm31J3dV71szZkt73Bw5xJ6a55g0ZUyqhEDG0Afr83//A58O+wCvtOiIm5qhSxHF869YtXM246jj31wGTMX8hqUNP4Qn83KY6us5PhnIxooOMoQTnZrZHjT6rcUUmJMWnMb19bQzamqciY2vRu/IAbCqbAqVwpBAb3qmNQW7iXnhHxgBb3I9o+lRr/HDohhPRSw4dhRoP1cLUpGL3dXDMGSt113Z6BtpXaotpJ4thv7YQr1fui78y71SlOBmzuz2J+zwhY/YMrHizGl6dc9aBrf3Kerxf+wGpZwwl5zCzfQ30WX3F0bNWfHo62tcehK15ZUSPe8YUt5HikMmYAgwzDomMPfX4M9IL6/d5881wQWNz+H9HSP64Ww2nLmQWGYs4ECH5+s3XI9Uu6T73howlnEyQ7FNw1GBI3pAx6gFt1eIlqR6uCIu3daNgobTFFhG9veH7PFbjKxnz2BAgreok/yhUSds27fHhkI9A8fZoIQKF5PA2MRnzFjnvyxVufheP/b8P4flatVBL8XnuuYp4/vkqaPd9JFCchOWDmqDOi2/i/SHvoHOjemg7OgxX7YoVkETUSpIwq1NFVGv1Or7ZeE3lVBH2/rcung9pj27fh2t6sUjYWzIG2HB+/XC0r/IkKjVuj649e+L11rXwVMUW6PjFHEh9eu7qoCJjQAlSFndHlWbjcSQ/D/vHNkfF2h3Qf9AA9OjQFV/M+BKt2nvQMwbAfnkLhreuh+ZvDMQHg/qia5dBmDV9ABp9WDocX5y0HIOa1MGLb76PIe90RqN6bTE67Crs0mrK0iFQJmOqW+nOKZMxMS6G5RIZe/Kxp6WX1fp1Gwyz687Qr9NnSP7omRBvFhmTVzT6IxK+N2Qs2OaNeUPGtmzeKrU37TEZiESknhaF1K8bgqIieUWYe0tGkjHyhHqBqXeQ/iGi6QK0x2n1KjWlOYGuPKVeWXeR6ZmMuULO+PyynrEy2/nppxEbexKpWc5DlmUSdFSMnKvpyMyXu9Gcrxbl3EB2oWoSlbOID2c25KUn48SRaJxIvooLgu2QPKuD2gVaGHAS0TEJuHJLXC91CefzIlxNOo741DxHD5jz9Xykn45F7MlUiKDl7ZCc0ZLPmIzJSJj0TWSMwlrQf+b0MgiG9NfadZI/RHQ8TYVFRaA5O0Yn6sUg7Ghlo6+JJp0Xe7FqLJjmjRE5LCgQjqu4hKf1i20kDE+fOu1SxtcLRHConShkhSeJSKU7ouOJDn/IuIqDRrrfGzBQ2puzXu360mrPLz77EjN//U1a1UtzCMl/qofVE91PdF9ZOdHvmn7fVk70fKXnrNWTWe+KYMeNyZjJLURkjAJk0ouKhryCIdGGz+TP6JFjgsEdtz7QENhD9z9i6oNWnje2aOFit74G48U9u8OltqYAtoFMubm50qpTaqszSWcCacow3VQn2sOVgtdSSJChH3+K117tIi0g+OzTz0FbQRG+FK+N/mmgMB/9+76DPr37gTZapzltVic5hoHNhhiBuxwBJmMmNzCRMdpgmciPngnzgXT70qVLkj/BEmrDVV2p54Fe7i2atnQlYkg+hVqg9rNSoFwZmFc7dpZ89/dcMVm/8ptCThBOFFT2bk7US/vxh5845oJSnV19aPj2+QqV0OXV1/HpJ8NAe55yYgQYgXsPASZjJrc5kTHak5Ie1sHSjU4k575/PyDFiTIZHrfmaViNcAuGIKAVK1SSthBy63CQXZQ3O6feHKMS2aI2C9tp/fhbaszonxj6B0YmXrR7AC0sIRJKCwFoCyja4om2jFqyeCnefquPo1ecngFNGjUDzd8TJdoZgwLffvTBx9JOE7RKdOuWrdIK0bS0NFOmCIj85DxGgBHwDgEmY97h5rdSRMZoD8Cnn3jGbzr9oYheJLRJtKfp+o1M3L5t7JyMtWv+kl58NE/HH+lWfj5u5pbFJtKjs1+f/pIvZ5PP6inmd1maV5Jx9bpHeinchNHEiHqNiOiH1H/B7T8fWdk5lpofQysv5R0CqKc2dHso8gsK7kQad90cFIKDFszQ743a4oH/PCTNq1NHvKf9V6dP+xVfDf9aGuqkgLq0ny31DFM5ImSiREPCa1avlVayUg/ujes3dBM3up/MmA8qqo+3efS7pt+3lRM9X+k5a/VkxrvCCpgxGTO5lYiM0cuJJgEHU3q5dTuJJHr6EDZjNeW3Y8dLL6LwPXv9Ap03qyllw/Pm/i75Yva8MU9XU9LLnXpjaIWj0fOWhg39TMJqzuy5Mnyab6NXU2oc8DCDJvgTQSJCRNMN/pi/wIGnntWURL5oRbBMyhq/0NRlXDS1a1lZ2Q6b6ms0n410VXimNLA0+UnPG+rJpSFqV+ncufPSTgd0n8z+fZHlFyKIVlO6qnuw5l8TrKYMVl/d+cWrKcXoMBkT42JY7t9/75Ie5G1eamuYTU8M0WRjd/9xq3WYQcbIguHBAAAgAElEQVR6dH9T8pH+2/dH8oWMyfPGaIWdmclTMvbTxEkSdu4IUaDqQdH4KZwL7ZqQnV22hbPSnhXIGO0wIMdno56++DjnfU31kDG57tRTRnPHZNJEi2jcreiUy3nyTdMgaKg0Li5O2nSdeu9cJdq1gHyQP9RedWvVk3Y0cBecOvF0ImglaWZmVlD1pjEZc9XSxuczGRNjzmRMjIthuZs2bpYeeD3f6GWYTU8MjfxmlOTX4SjPNjo2g4zRMCrto+mv5AsZIx+CYd6YJ2SMXspVnq+GJx59CrQi0IxEKwzpRT/qm9FC88FOxmiPzJrVakt1GDzoA1AUf3XyhozJOvbvOyCRH8KItnSi+WhGJ7pPaGeC736YBOp9priDtNPEzh07XbpCvXAygaNvmn5Bw6k0dOsuFiDNf6M60+rU8+dTpOHU9CvpoP1maZ4dEXgi7p721KsdZDKmRsS8cyZjYuyZjIlxMSx32bLl0sPrg8EfGmbTE0OzfyvdxmbdX+s9EYfRZEzeBomCc/or+UrGKGwBvYB8idrua108IWPyqsb/fjHcV3Nel6ewD0RmaM4TERt1CmYyRmSB/hGgtp486We1645zX8gYKcnPz8eggYMlOzTMSFMazEh6NwovKCiQ9gGlUD0HIw5KOxms/P/b+w4oK4pt7bXeeu++9/6bvOHdew3oVRRQMkOGIUkWkIwygigIiiBBiQYMgAqiyBUkmAUkKBgQEMk5SZghDDnDEGeIM8PM3O9fX2HP9OnT58wJHU4f9l7rrNOne/euqq/qVH9dtWvXtOlqRM4s/+fOncO99xTD3/7yDxUcWE/mjMdsL5UrVgW3bGNct0faP4phLw8D+6svPv8SDJzNxSFr16z1GVEUMmaGvDvnhIyZ4y5kzByXkM/mnVmJ97o0QPUaiUisVgstB85EahgxN8eP/1B1toFGCELOiMWKfAtmRzhu7L9Csuw0GWOMJubPim2QtAJGS8a4wo15+vijTzSTjn+HQsZaNm+l8ul2XLuZM2apfHBK3CixSsY4Baf5dXF0L5hES8Y022xX9O9jGIyRI94M6B+m6Vv9HS4ZCyV9+qKxb2ncsGn+anKNeHFKtFKFKnioSXO0atlGbf7ODeA5e1CrRm01oqvpat/cFJ4hQlg3xe+7X4UV0W9OrydjM76aiTIly6rVq3QP4QrfDu0eVUF86f8XSDgNTaK3auUq5c9H1wQSc079Xr4c2cKfQGmZnb8ZfMamTZ0Gxrm8GUXIWDS1nrsP45uURuuJKVB/xdxTWPR8VST0WYJQJ3803x0GjYwl4RY27Oi4T2UosmbdJlyKcCViKPaNOnSUZv6mfjnNeCni34ePHMPuPZHvRUh/GebJzfhsnFpavGxVQAw4CsU8coGG28KFA3US66r8GKfDt2xLwekzoa0KdaocdGovfu/9Kr/cu7IwYf5ZDiuEceC00bj2bR8BfcuckiXLVgVd+RpqPjjFyClOjmpx1SjbIT+cwuTLKP1nA/kQGtMgAeKOJaNHvYMWzR5Wo2qaPZI5xvyjCwhH6Sipe/bh8JGj6pi+fpwW5csAF9xwM3uOcHJB0Ig3RhqTyv89/PURqv65h6m2ilVLk3kIJAxHwqnmpo0fUjH2GGCZfQQDAQfbAo+rYPlhOYjb/PkLMeWjT8G+mT55emF7IDFkuB/6BFJn44aNatqXK2q52jbYQg+9LbuP167fFHDVOuuTxJpt4WYTIWNR1HjOpqGoWHcM9uu3Jrs8D91Kt8XUEFcga75Z9MWIJeGbKzsauyOzR1pmTlEwf7EWJJM+bEXvvi/SYtl+n7YC1UoSG02mOZ3Eeoy1BSzGMnGRCB3YmVeGonBDzp87r0ZxmIcK5SpiT+oeN7IRdppcgPDJx5+q0SjmnR/6lnFqUT96FbZh3Q1MY/Wq1WqkXPPlYzr0i6RPH6d4rd5ei+SSvoJsG8EWEZFYMK4cd+pgeBK+gL827HUMHjRE+eHpiuFz2KTRQwqncmUqqBG/O2//p4pLx1BI9eo8CG5jxv1TtaDhGrbBvrmSlv6i3LmkTat26NenvxqhZHigli1aoUvnJ0GXGe4mwT6WI4XBFpEwVA3LxmloEkeu3mWsvIULFqr68CmQ7gd9EflyQ59AEkUGPGf7Jhkf/8EERXZDdZHRmfX0oZCxiKsvD6fGN0bFlzbDN7pWBr5sUwa9l4W2h1jvXs+pzilQsMeIsxfljRy14J+cf9pYlEYNmqhpG+3NN1byyNWU7Aw5hRFrwlEzkkU6VccSbtrenowbF4tC/zaOJLJe+RB1U0goODXPvHAEiPHNYlXYxri/rTaty9Ek7kywaeMm27PMkaFXXhqWP5pIvNj2Bw0crILu2p6BKBIgydu+PRmcnuaoWo2qNX1GElkWfjh1TTLGqdvWLdsq0kkSxVHBrk92Q7cnnkLSo53UaFyTRk1Ru2Zd1KpZRy2ooH+eZsf4TQL7QPGSahq3Qb2GiqQdO2q+gISjiySFfE4waDFXFfOlhYQ42AsWCZ8xXe03p6Npl+2FJP5mESFjEdd0DpKHVUXDcccNO9dnYWGPkug4yzzAIKNv821D+zDOExthp8cezz+nXXP7+45b71TD/27nwyz9v/75b8ovxOyam+eaP/Swqs8mjR+Kufps17aDylu1KjViKm9Pd++pYl/d+vfb0e/Xt3E361CfNqfpy5Yur3DjaBR/66+7ddzq4TYqDiD7jsQatfHC8wNjIl/Eg3mhvxenm5g/TknWqJaIZ3v2djyPrK9OSY+jaqXqPiNI7Nvq1KqHbk92dzxPxjbDNk/SRPLCqWiSLI2Y8JsjYSSSJDscLXu0QxL4n4m2zvs81w9PdukGhghqWL+xwoj+dtpeyfo88Jgv51xoUbFCZdSv11Dd90SXrniud9+wMWTe+/d7AX379Eef3v3Qu1cf1T56Pt0LvZ/to+zRj49th76ZJKjxLkLGIq7hHGx+sSKaTEjzI2NLni2J9tPNyRgdz/l2qH34psKh4x5PPZ1/Trvm9nexosVVpxBK3v7xt9vQumUbR8qgbTlTskQpS9PjA4MP3mhw11ZU8s0wGjuR3ssHDx29+eZptKH5HHEFmvGa279JENnhq4f2M73Uw4cPCLfzpYVq4MPQDNNg+WtUv7EqRzCdaK7RheD2f9yhcGNYlS6dnrAcL5aZ7Yk7TBSWV47iNG3cLD9PJBGsV47UFHav3df5v65epQZaNGuppkuZN41scCSI9dy2dTvlx2V3Xjh6zkUDJFf33FVU4avlhd+331oE5ctUQMP6jZR/HX3LmCcS8Fv/drsjWD7VtTvom9i4QRNUq1xdkUSOxLIt6POqHZM0FbntLvCZwcURlROqqBE7Ekz+DxhgmCvfORVKUsfnHrf3Ig5NGz2kysqpV/7/K1WojDKlyuHuO+9R6ZHU8xkZ7yJkLOIazsOhMfVQY/hO6F3GgKuYnVQK3ReENk1JX4b77ikecS7svJGdAP9sdAAtTPiwWrJ4aWFqllzXAuW+8dpwS+xpRuhPZUXQVsZVopOvG29z3I6JdZaV5dv+6KPBBxCnPGJRuBqN/wNOn9CPhNOCbk9RaKtjOfVC5+dwhc7hwaZqwrVnps84cV06P6HqnNsx0THdSmE7YnsqLFwLHczpiE9dPpjpb0Q/oFgR/q+Hvfxqfnbo68WpMJJMEhzmmx8SM5IEOpIzLAfDi0Qj9Iljv0hfMZJSEhUtLX7zP8lFLJx6Zt0V5nvm9rOCO0XwecDpca6GZXgckjYSS4426stmxTFHCYkZR+LiXYSMRVHDWQu6o1S7qfDx1c/ZhKEJ9TH2SGjDqrFMxriyiH+opUuWFYqSk2SMnQDz9fXsbwrNVzgKVpExjhAwf/RbcVoCkTE6nTNP9OGJVWFQUOaR0yZukzG2eT4o776rqGkctFAwdIKMaflgOBXNkZsjxyTfVkhhZIwLMDiCyXrjh6SHjtmxJkYyps8fy8iQFX2f66e2B9PKon3T540jOCSYdL7nf4ghGBj+hzH72G6J/wfjxqtVoRwdpx8VRys1G9o3/TVbP9xG2WEgXbNgwfq86Y/5Euo2GdPnx+yYWDJAMfu+RYt+VqtFv/xiKrjTByMGvDN6jCK/HHEl4SVmXBnPBQB0/icm3OGBJGzK5I/Nkojbc0LGoqnazBXoXyERr23Wom/n4cTMJJRtMQUhcjG1yidW/2BcJcNOhMEUCxMnyRj/yMwXl3FbKVaRMb5xM39uhCsJRMYqJVRRHRxXLMWyNGvaXGHHFWRujYzxzZ8PTT4Q6FYQqThJxphHrmwjCWDbY/5JEKLddzQQGVu+bAW0eHVMj07Xxu2gIsXNjvuCkTFjeiSyJAb0N2N71MKZsJyhfth26MjOF4vXX31DkRKOLkZTH14gY0YszX7zeceymAlX2PKlgkT3ZhMhY1HWePraUWiZUAlNO3dHt3a1UT6xJ2Yd9J24DJZELI+McXidnc/I4W8GK4K6xiF4bmXihHBYn50dVwdaKXzbDSV+VGFpcnqGuFm5O0BhaWrXuXUM37w5naAJF40wP5ySiXXhqAqnKvlxY2k7pyNJBIkX39ajEY4MMHyBk8KpcYZQoH8Py8D4VlypHemUOdsR29OJEyeUDcbF0vbjpH36AnkhSCf/19GEc+E0Ovs39tfEgKGIOKpD8sCXhhnTZ6h4YMRCw8rqet+6dRu6PfmU1WYdt8cysCxmMnnSFDU6ZnYt3s8JGbOihnPScThlC7alpiFcD4NYJmMcIWCHy2m3WBG+WdKhkw63sSzMHwkFwyK4LYwlxHpk7B8vCP1rmF9uBeSkkNxrI3MMi+BlISkn+SaO/JBgTpo4OSIfKJJ5kkpthIhO3IyIz/MigoAgYA0CQsaswTFiK7FMxui8yo48WHTpiAse4Y1aBHk6Lcey8OFF7ELxt7OzHJxm4mICTiNbHfTSrnwzn4ydRPw4uuSUaL5+XKUYzXSSU/kNJR1uecVyaRHj6azOCPhcnMAI7XQY5yIABk2l8D/PGHkM4MlpOr3DOac++/TuG9KCnlDyJjqCgCBQgICQsQIsXDmKZTJGQLhBMd+qY0UWzF+gHtJvvzUqVrJkmg86BJNMvPziK6bXnTrJKRXmgzs9eEm4pQsd6BkixIl9/+jXQ5w4BReOU7VXMOWOGlyQU+7XmGksaygfjkLT34qr5zTC5pUySz4FAS8hIGTM5dryJWN5OLPyPXRpUB01EhNRrVZLDJyZCjcnuhhZmQ6VhUnG3J5oMXxjYWpRX6dTPB8iVjp45hz5Ea89UhfVa9ZCYvVEtOjzCTanh7YaNlCBOMLA0QjHQklkH8R3rzyC+rVroVatGqjTqj8+25KhtjwhXm5vCh4Ip4Dn89LwSMUi+M/f/B6PP/5kQDUrLmghLOhwTdISrWQuHYamdWqjdu2CT/1BP97YvzZa4xbcT0dyLs4Z8PxAPNK+o4reztWC3NWCo+CM4j5u7HuY9ebjeDixChJr1ULNBzti+MKjhjA+FmTGRhPZK99Ac0M9qDqp/zy+9d3a0cZcWGA6ax++HfYoHqyRiNq1a6Fuy+cwZcMFQ3xLC9Kx1cRV7J45GO3r10GdWtVRuVpT9P5sO7Slb7Ym7RHjQsZcrig9GcvdNx5NSrfGxBS17ThyTy3C81UT0GdJqNuOW18YTtnwYR74IZWNMymz0CfhFhTrF3iDaqty9lTXHio/hcU9Cjm9nGSMrFkSj3y+ByoyV85J/DywKop1+hrnouNj+f5H9sdbysL6l6ui0rM/4Kha05CL00sHo8K9HfHb3/1ZTfmFjEdMKHJV8uOo/M8i+MPd1fD7396ilsHbkTWSevpAMQyBNSEZcpD8aj10+PQQuJm19klLd/OVKnzkLi3ug4RKvfDdkRvx6q6mfox2pRrjA5+NeMO36+gdWRk4nVZQB6dOnUTqrKdR75GPsc/atT82FisHG1+uhHLdv8FhVRV5SN88Co1KJmFWtB2Ujbn2NZ2H03OeQJnEwVh88sbitpyjP6JvlTJ4dpF7zzbfPLr/S8iYy3VQQMZysGloRdQds9/n7fPyvG4o3dYQy8zBPHPrDpIx05hZ2WswJqkVHm7RAk0q3I7iDpAxjtRxxMkq/6ecrS+jYvXh2KVfAHtpKtoW64YffeOmho265ojOVZq2SvZyPPfAQ5isDy2VdxytihXBb/7njyrGj63pW2w878gX6PhgP8x5tzmqDFmFEsVKqjZo9T6M9OfjqC/9qEzbd0TlysCX7RvgrT36BhWRIfduyjuBSQ+VRI8FN14Kb2QkBzs+6Y+3l+rPuZfFSFLOOzINnRr2w2IvjYrlpWFC4wQM3aRnj+cxpXlp9F99w88vEiwcvSfvOD5oVA7Pr/btUDNmJ6F4UmzuR+soPr8mJmTMDdR1aeaTsbxTGN+4Il7arP/TAcj4Em3K9EaI+47rLFtz+K/3P1APQgY3DCbnJzdDKZvJGJfnc4Vi9SrWRZHP2fUVXv94E/TdWt7xD9CwTH+s0p8MVvgA1xj3iUSWPje2Su5xrF+wCSd1I3l5p2biL//7F/zuD/+HWI8t5oNN7gFMaVsfg1ddwrnJzZE4Yhd+2bZd7ZdH0mTVdCvDZjA8Col9oJhHPvkK9Uf2Wgys2w3T1s3BhBGv4LV3P8X8nenemlK6Mhsd7+uEOVcuY/+y6Zj04WeYu3Ifopy5DxVBe/RyD2Jyq5roszjDHvu2Wc3GmgEJSHxtU/6UXu6RqehQtj2mntb94W1L3wLDKhB6A7x/3De/2av744EKL1uQQHyYEDLmcj3mk7GcZAyr2hDjDA0WWQvRo2RHBNh33Pbck4SRUJCUBRMnyBinkZgXxjSzTXIOYUansqg7aicMtDiiJBm9m9vUWDWSFzwTeUhbOBq9urZDQqma+M3//AFJHTsFvyWmruYg9YOWaPjKOhUi5vyvZIxjTCRPrPvSD5SJepsdhnjg1CS3vlmxfKWlCOSlTUTjW4ujSffXMWnWXMwcPwBNS5TEY9MO+Yx4W5qoxcbyjo7Fg2WSMKBzfbR49g28/8FoDGqXgPubvovN4cbusThvkZnLw+kZSajU9Tt4aVAsv6xXtmF865K4r1IjtGhWByWL1cLgRcY9kfO1Y/DgDD5rVQxJs87p8paLPe8k4ndFeujO3dyHQsZcrv8CMrYZL1Zsgglpvm8PyFqCZ0u2R4B9x23P/ebNv6iHIJe5BxMnyBinqfhA5jYadkjuySUY0aw0Kj87B0csmmXiFivM8+pVq+3Isp/NzOPbsXLRHDxY8R78x3/8N4Z/Nd9PJ1ZPZKe8g2aNh2Pzr+5VejLGPA9/fYTCkvGuGJYhEtG2+KKPWKDAk5HY1e7JO70eX89L8XHWz9nxNmrf3x0LPEJkcg++g8Tf/g3NPjxQQCDzzmFulxKo/77unFboWP/O2YphVWvijRQrXq+cLuwVrBv+ICq1egMzV6UgdddG/PhBN9RISMKXByzqpBwo0uXVL6HqA03x6tcbkLo/BUun9MJDbZqg0j02vlg7UC4rkxAyZiWaEdjKJ2N5hzCmXg0M32n4g12djaRS3RHivuMR5CD4LXTcJ5ngqqtg4gQZ475mzIvVmyEDWdg/ZyAaVKiL3lN9H6TByhzKNW6gzDy/OOSlUNQj07mahgNHM/Knwm7EFiuC2//436j99p7IbDp9V+4ujHmwAp74eBlWr16tPguGJqL8MzOwasO+/NyMeedd3PL7P6spRkbrDlW4xQ3bMOuCo2v79x8I9dbo9XIPYHSdKhi23SNk4PxHaHpLE0w2LCzN/K4LinaYEXZg6+gBjM5C9sq+KF3vXXiIuxQU+NxnaFXmGSzycdXLxYF366L8gLUFejF/lIcLW2fgrf5d0aFtR/R++3vs3j0GdROGxnzOncqgkDGnkA6QTj4ZQxYWdC+FdlN99w7M2TQUCfXHhrzXZYBkojpNP63CQjQ4Qca4jQYfptY+SDOxfVxzVGj8Gpb8utInKrAMNzMC/9//eisqlKtouGLdz5wNg1H+wYI2woCdf/jtH9GvcVGUecEjHXbOTkx/6Tn06tUr/9O9flHcXrMzeg3x3RuVmwkz/h3bQvduT+PixYsBwWRsLG5EfFeRu5V+08YPRT3NGTAx5OLApMfw2CTfRThQPjN1MNorbCB7JfqWbIIPDaP0V+Z0xgNdvnM11E5g7ANdycHGIeVR9Y2dBaN8gVRj8HzuruGoUXMkdhvf0ed0QrHOc2Iwx2ZZysOJ1bOx2LCE9cL0DijhmTKYlcvac0LGrMUzbGsFZAzIXNEfFRJfQ8G+4ycwM6ksWkw5kj/qEXYCFtyQUL6SiuIezJQTZIyEkKvfIt1nzyz/OTtGonbVwVjr8+Zpphn5uQ7tHrWBROryc2URnimRgIEr09VJtaXP//sdeifcZ1gRp7vHA4fGaUp9lo8dOwbuUUpCdsetd6rYWFy1umXLVjBgLH0dn+vVR+08QB0GL/1w/Ie2R9bPXjMAZcv0wqL8sAPZOPhZW5RoMA77DA9UfXli6zgTy/uUQ603tuQ7jePqdrxdrySe9FSALgB5aZjYpCiecmtqIdqKzVqBfmUqYtBK3cKDnIP4tPX9aDHlaLTWHbo/DycnN8P9nWYjn99nrMGLVcuj73KJNKZVgpAxDQmXvvVkDEjH2lEtkVCpKTp374Z2tcsjsecshLHvuC2laNWitXrocduUQGI3GaMDPIlYzWqJgbIQwflcHBidiN/9tShKlSrl+0noje8tCg3FTYVJCLixsD2Sh/Or3kLLcqVRqXFb/Nd//hf+9PtbkPTeGpw3uCDak749VoORMabI6VhOXRcrWkLhS4yNH24FNWTwUBtHw4xlv4RNEzqhSpnqaNWlKzo1q4aqLV/FwuOeYWKqQHnnlmJY/QdQtlEn9HgqCY0qV8ejY9d6rz1lr8egstXwhtH9w1htMfw7fd04dKqRgFqtn0CPpx5DkyqV8NDgb3HII7PeCtrsnfioUyWUr/sIuj2VhPoVEtBu7EYf38oYrgJHsiZkzBGYAyfiS8Zu6OWkH0bKlm1ITYsNj1/uR8eHHEM1uCX79+1XeXB682grysugr8SvSaOHrDAXxEY2hvTthd/+7x8w+VObY5sFyYXTl0jU169bD/qQvdB/AJ7v94IiaevWrnNoFatJibPO41DKduw5nenqqLZJzsI4lYMLB7dj8/YDOO8bIioMG6JqDQJZuHBkB7Zu34e0K94i9gXlz8WVU3uwbetOHL/kJSZZUAI7j4SM2YluCLbNyFgItzmqojnOc19It4RO+yQ0dOD2ojxYt4EKp2BnNH6SEq405LQdt2MSEQQEAUFAEPAGAkLGXK4nL5CxmTNmKSI08cNJrqHFcBYkY/N/9E6oBj1YEz6YYDuGGmHt16e/Pmk5FgQEAUFAEIhxBISMuVxBXiBjnAIiERo65MWAaM365nucO29fSEUGemUerNk/0LwYySm7sHpdZPGrzC0WnD158qQaGeNmzHbJw81bKoyGjxxtVxKO2V24aCkOHj7iWHp2JHTo8FEsWLTUDtOO2vzki6/AValeljXrNmJ7yk4vFwFnz53H7Dnfe7oMzPzsOT+osni+IBYXQMiYxYCGa84LZIxEgkTosSDR3KfPnIOzZ/URlsNFIrg+V1IyxIaVKymNKW7dnoKVq9cZT1v2m0SMOJ44ccIym5ohzaeuwYONMPGjL7TTnv2et+BnHDh42LP5Z8aZ/3nzF3m6DMz8pI+/QFaWt8nYytXrsXVbiqfr4szZc5g+a66ny8DMfzVrLlgWEV8EhIz54uH4Ly+QsX//+99qDz9u0h1I7CRj2krKYOkHylc45+0mY9yGh2Rs/L8mhJOtkHQHDbyxoftX02cIGQsJMfuVhIzZj3GoKQgZCxUp+/WEjJljLGTMHBfHznqBjBGM8mUT1B6LgYCxk4xpoz5PdbV3HzO7yRijwDN6fO2adQLBGNH5K1euoMhtd6Lo3ffh8uUrQsYiQtH6m4SMWY9ppBaFjEWKnPX3CRkzx1TImDkujp31Chlr2byVGtUJFGvMTjL2w/c3VlK+O+Y9W+vFbjLGzLdp1U7huH17smVl0RYHcN9FTifJNKVl0EZlSMhYVPBZerOQMUvhjMqYkDFz+ISMmePi2FmvkLHCYo3N+e5HnLfJgf/tt0YpAmN3aI2UnbuxbsNmW+te2+ycG4hbITk5OXigeCnlT3fu7DlkZ1/H59NmWWHaVRs/L1mBw0e8EmHcHKrDR45h0ZIV5hc9dPaLabNUu/JQlv2yum7DL0jZsdvvvJdOcIEU+1mvy5zv5tu62Mur+AgZc7nmvELGOCpFfyeSCaflicefVGkfOuRth27ipsUCu/0fRcDpxWjlq+lfKWwY6FREEBAEBAFBwJsICBlzud68Qsa++XqOeuhzSsxpqVq5utpsmwsJ4kGGvz5CYfn5Z9GteiQexIZ+aPFAVOOhbqUMgoAgIAhEgoCQsUhQs/Aer5CxzZt/UQRi4IDBFpa+cFOchvvLLf9nudN74Snbp3H06FEVc4zhOqIRjSA/2aVrNGbkXkFAEBAEBAGXERAy5nIFeIWMnT93XpGx9m0fcRSx1N2pKt2nuz/jaLp2J/Z4py6qXJHuKECSWq5MBfzpD38BV5uKCAKCgCAgCHgXASFjLtedV8gYYbrt73egSqVqpojtP3AImZnW7yY8d863irS8P3acabpWnqSD7Km001aaDGhr546dqlx1EusG1Al2Ycrkj9T9xoUAubl52J26N9itnrh29NhxXLx02RN5DZTJS5cu48jR44Eue+b87j37wHblZeH/2s4dQpzAhv0r+1mvC1cZX8vM9HoxLM+/kDHLIQ3PoJfIWLUqNfCP/7vNtIB2hbYYOfxNRToW/WR/JHMnQlvowUt69LGIypaRkYF77y6m6sK48biEttAj7O6xhLZwF3996hLaQo+Gu8cS2sIcfyFj5rg4dtZLZNS/qpcAAB6QSURBVOzRDh0VeWDwUqPYRcY6JXVWaR47dsyYpOW/nSZjjDXGFarVq9QEpx1DlZ5PP6vue3PkW363CBnzg8S1E0LGXIPeL2EhY36QuHZCyJg59DchGcvDmZXvoUuD6qiRmIhqtVpi4MxUBBw0zTuDle91QYPqNZCYWA21Wg7EzNQC7cylw9C0Tm3Url3wqT/oR4Q6weIlMjZk8FBFAjas3+DXmuwiYwnlK4FhIJwQp8kYy0RfOBKyt958O6QicoRQI3DXr1/3u0fImB8krp0QMuYa9H4JCxnzg8S1E0LGzKG/6chY7r7xaFK6NSam3KBLuacW4fmqCeiz5JIJQrnYN74JSreeiBvquTi16HlUTeiDG+o5SH61Hjp8eginTp3K/6SlF5A1E6M+p7xExiZPmqKIwIzpM3zKwB92kLGsrCzloF6/XkO/9Ow44QYZS0/PQLGiJdSK0R0pO4IWixuMU/fPf/wrkpPNI/gLGQsKoaMXhYw5CnfQxISMBYXH0YtCxszhvsnIWA42Da2IumP2I1eHx+V53VC67VSc151ThzmbMLRiXYzZ76ONed1Ko+1Uamfgy/YN8NYe/XWjkeC/vUTGfv55sSJjI0e86VcoO8iYNo33XK8+funZccINMsZycGcBjnZVrFA54C4GXM3K69Qb+977AYsvZCwgNI5fEDLmOOQBExQyFhAaxy8IGTOH/OYiY3mnML5xRby02eCfk/El2pTpjWWGxYB5p8ajccWX4K/eBmV6L0NW9loMrNsN09bNwYQRr+C1dz/F/J3pCGfdkZfI2P79BxQZMNuwe+euVFy9ds28lUV4liNwJB8fTpgYoYXwbks7fQZcxeeGDB40RJWVsceM/nHHjx9HrRq11XXqBRNG+N+yLSWYiieu7TtwCBfSMzyR10CZ5Kjnvv0HA132zHm2J7YrLwv/1/x/e1nYv7Kf9brs3L0HV69a+6zwOibM/81FxnKSMaxqQ4w7bqBLWQvRo2RHzLrqW6U5ycNQteE4+Kv3QMmOs3A5bSIa31ocTbq/jkmz5mLm+AFoWqIkHpt2yGfkzdeq7y8vkTH6KDGulVPThq+8NEwRkBXLV/qCFoe/GE2fI4Akn/SRG/DCIHz26ed4of8AtWqS53v17I142YUgDqtQiiQICAKCQMQIxB0Zyz26Ht/PnYu5Jp/vVnyPFys2wYQ0IxlbgmdLtsd0Ixnb/CIqNpkAf/VnUbL9dFw+vR5fz0vxcdbP2fE2at/fHQsMtrQaWrZ0ORg4VfvUq1Mfd9x6JxYvW+X3uXzZd+/Ca9cy/XR435Zt/v5De/YdMNU9e853MpYPd7O0167fpGU5/5sxk+4rWhxFbrvL555jx0/m62gHq9du8NFhGstWrNYu53+fPnPWT4+6jKfTrk0HRU64ATZl85ZtprrZ2dn59nhw8eIlU70dO/3fKrk5uFn5aUMvnP4z02OejMLREDNdltUoS1es9tEdOOhF1R5IvrRP8Xvvx9j3xvnoafbN4lix7rTr+m8jkWNb0F/Xjtl2jMI2pl3XfxvjBbHN6q9rx8kpu4wmwTdk7br+myNKeuFKU/117Xjj5q16NXV84NARU12z+HHLV6310+V0llFOnDzlp8c8HDrsv5H5+o2/mOoaR5bOn79gqseYXkbZlrzDVPfKVd9OhqMNGjb6763b/X0RU/fsM9VlvvSSl5dnqseNt43Cjd316WrHxM8oK9es99NdvnKtUU3F/dPs6L85BWwUtge9jnZ8/brvTAjbl3ZN/832aJTkHbtMdS9d9l2ixRhgelva8S9b/fvmvQH65jO/9nP6PGh29N9r1vn3zRz50+tox8eOn9CbU8er12300126PPS+2Wy095ct2/1sMg/sN/XC2IFa3vTf7IeNsmNXqo+u8Xq8/Y47Mpa96SMM6NsXfU0+L4yfjTH1amD4TsOQ+9XZSCrVHQuM05SHxqBejeHwV09Cqe4LYFC/0TZyD2B0nSoYtt23A9AaTkpyCka9PTr/w9V0d91xN0gUjB9jENXs7Ot+OrzH7KFw8tRpU11jJ8IHtDFd/maHYRQ+vB+s21CRhA0bf8m/7/yFdKMq9uzdn39ds2/W2ZH0aNf135xSeKB4KRVPSzPOB61eRzs2hoW4du2aqZ4ZaWRnpdnRf9OGXpiG/rp2fPDQEb2aOk5LO2OqayR4VCYmmq2C790gaZ82dRqWL1sBkk0+JAuuF7QVs0CWrDszXWNGGZTUTI9txyhsY2a62YYVnWyzZnpmpPH4iZOmukaSQSJjZtPsgUzCa6abnnHRWCTsSt3rp2tGhjhdambT7OHJ6VUzXZIavZC0mumZEZfDR4+Z6hofdGwnZjYPH/EPC3PyZJqprvEFkPk2s2n2QD579pyprtl0M8mg0e6u3f7BijMyLvrp8T6zFxu2B6NN/jYSYbYvMz22R6OQ5JjpGvtmzhqY6Zn1zXwxMNM1C3JspmfWN7MfMNM16x9M+2aT6c+AfXOa/3TvwcPmfbORCHNAwSyfZqSR/bVe11g38fY77shY8ArKwoLupdBOOd8XaOZsGoqE+mNxxLe/BLIWoHupdvBV5yKABNQfexD7Jj2Gxyb5LgYAnf4T6mD0AQPhK0jO58hL05TMeP++zysytm3bdp9yWP2DgU05MvRw85ZWmxZ7goAgIAgIAoJATCFwk5ExIHNFf1RIfA2btRnAvBOYmVQWLaYcUY73Oclf4Y0xP+Cg4lKZWNG/AhJf24wC9ZlIKtsCU47kIXvNAJQt0wuLzmksLhsHP2uLEg3GYV9oXAxeI2MfjBuvSBI3qdbLjwsXW+pwvWb1GpXO0CEv6pOx9Zhv65u32EsybS0AAI5Uzfrme7uTsd3+ilXrYPa2bHvCFibAN/sVq/yn3ixMwhFTs+d8r9qVI4nZlAin0cxGPW1KzhazHGGcv3CxLbadNDr/pyW4YDKb4mQeYjGtm46MAelYO6olEio1Refu3dCudnkk9pz1K/kCrs5oh1vu6VWwsjJ9LUa1TEClpp3RvVs71C6fiJ6zDv7qoH8JmyZ0QpUy1dGqS1d0alYNVVu+ioXHQ2RigOfImBaGgVOterE6tIUW04xTdU6JW6EtrCyfhLawEs3obEloi+jws/JuCW1hJZrR2ZLQFub43YRk7AYQOemHkbJlG1LTfJ1gkZOCkT1GINnH5SsH6YdTsGVbKozqylrWeRxK2Y49pzPDCmvBe702MrZ3z141YtXjqWd8WpTVZKxP774qHbunQ/WFEDKmR8Pd43kLfoaZT5i7uQovdSFj4eFlp7aQMTvRDc+2kDFzvG5aMmYOB3B12Wi8NPtIyKEpAtkJ9bzXyBgdVW/5/Z/xYN0GPkW0mozRPsNoMAq/UyJkzCmkC09HyFjhGDmlMenjL/xWxTmVtlXpCBmzCsno7QgZM8dQyJg5Lo6d9RoZIzBlS5XDXUXu9sHISjLGFZ63/u12VK5Y1ScNu38IGbMb4dDtCxkLHSu7NYWM2Y1waPa5enf6rLmhKcewlpAx88oRMmaOi2NnvUjG2rRqp6YQ9TGJrCRjWqT/rk90c6wemJCQMUfhDpqYkLGg8Dh6UciYo3AHTEzIWEBo4uKCkDGXq9GLZEzbumfD+g356DEOlzGoaP7FMA++nfudInvvvTs2zDujU2dMpdxcbWVsdLbcvNsYd83NvESaNmNDGWNzRWrLrftutKfQF/O4lc/C0o2P9pTn+fbE/jUe6sLKZ0VhbddL14WMuVxbXiRjH3/0iSJLX34x1Rb0hr8+QtnnxuQigoAgIAgIAoJAvCMgZMzlGvYiGVu1cpUiSy+/+Iot6HVo96iyn5aWZot9MSoICAKCgCAgCMQSAkLGXK4NL5Kx02mnFVkiabJDuA3SPf+81w7TYlMQEAQEAUFAEIg5BISMuVwlXiRjhOzO2+9C+bIJ+ehxvzXjPoX5F8M44KIAboPUqkXrMO6yRpX7dprto2eNdWes0E/JbA9OZ1K3LhXug2rcH9Q6685Y4j583K/R68I9G73uv8fNwbkXq5eF/avZhvdeKxP37uU+yyK+CAgZ88XD8V9eJWP16tRXccAYd4xi1WpKbpBNMjbs5VcdrwtZTek45AETlNWUAaFx/IKspnQcctMEZTWlKSxxc1LImMtV6VUy9kyPnoo0pe5OVQhaRcbeHztO2TXufelENQkZcwLl0NIQMhYaTk5oCRlzAuXC0xAyVjhGXtYQMuZy7XmVjGmkac43N4IQWkXGGFuMI2P79+13vGaEjDkOecAEhYwFhMbxC0LGHIfcNEEhY6awxM1JIWMuV6VXydiinxYp0jRy+JsKQavIWIVyFXHb3++wLGZZONUrZCwctOzVFTJmL77hWBcyFg5a9ukKGbMP21iwLGTM5VrwKhk7duyYImOdkjorBK0gY5cuXVI2mzR6yJVaETLmCuymiQoZM4XFlZNCxlyB3S9RIWN+kMTVCSFjLlenV8kYYbv9H0VQsUJlheDGzVtw+fKVqNDU4pcNHfJiVHYivfnosRPYu+9ApLfHxH2Mbr1y9bqYyEs0mUjesQt8+HhZuJIyOWWXl4ug8s725PXI7/xf8//tZWH/yn7W67Jx81Zw5bqILwJCxnzxcPyXl8mYtqIyOzvbEtzGjf2XGhmbPetrS+yJEUFAEBAEBAFBwAsICBlzuZa8TMZ69eytyFNycrIlKD7Zpauyx43CRQQBQUAQEAQEgZsFASFjLte0l8nYxA8nKfI0fdp0S1AsW6qcCiZr1YbjlmRKjAgCgoAgIAgIAjYjIGTMZoALM+9lMrZ2zVpFxgYPGlJYMQu9fu7sOWXLjcj7hWZOFAQBQUAQEAQEARsREDJmI7ihmPYyGbt48aIiUM2aNsfyVWtx8eKlUIpsqvPTwp+UrRFvjDS97sTJAwcPY8fOG0FsnUjPjjSuX8/Bgp+W2GHaUZt08vX61i/Mfzw4XC9YtBRsV14W/q/5//aysH9lP+t1WbFqLTIuXvR6MSzPv5AxyyENz6CXyRhLWqZkWdxV5O6ot0Ma/voIRcZIytwSCW3hFvL+6UpoC39M3DojoS3cQt43XQlt4YtHvP0SMuZyjXqdjCU9+pgiUR98+FFUmyK3bN5K2eF0pVsiZMwt5P3TFTLmj4lbZ4SMuYW8b7pCxnzxiLdfQsZcrlGvk7HRo95RJGrAwBcjJmN5eXkqZlm5MhVcrQ0hY67C75O4kDEfOFz9IWTMVfjzExcylg9FXB4IGXO5Wr1OxpYsXqrIWPt2HSMmYwyNwf0on+7+jKu1IWTMVfh9Ehcy5gOHqz+EjLkKf37iQsbyoYjLAyFjLler18nYhQvpikhVrlQ9YjI2aeJkZePzz75wtTaEjLkKv0/iQsZ84HD1h5AxV+HPT1zIWD4UcXkgZMzlavU6GSN8jA9W5La7kJubGxGaWrDXPal7IrrfqpsyM7Nw9eo1q8y5Yocx2i6kZ7iStpWJcuuX7OzrVpp03Fb29etxse0L25PXY//xf83/t5eF/Ws8rELkqlCvb69lRzsSMmYHqmHYjAcyppGpvXv2hlHyAtViRUvg7ruKer7DLyiRHAkCgoAgIAgIAqEjIGQsdKxs0YwHMqZF4o9kmpEEjv5inR973BZ8xaggIAgIAoKAIBDrCAgZc7mG4oGMbd8euQP+R1M+VmSM3yKCgCAgCAgCgsDNiICQMZdrPR7IGENT3Pb3O1C2dPmw0eSIGEfGIp3iDDvBIDdkZWXh2rXMIBqxf4m+PfHgV3LlylVcv+5tnzHmn+XwurA9ed1njP9r/r+9LPQZu3TpspeLoPJ+6fLliP2LPV/4IAUQMmYEJ+8MVr7XBQ2q10BiYjXUajkQM1NDeEBnzEXPFsOxMcxdQ+KBjBHCqlVqKlKVlpZmRDTgbz6s7rj1TpQsUTqgjpMXZDWlk2gHT0tWUwbHx8mrsprSSbQDpyWrKQNjEw9XhIz51GIu9o1vgtKtJyJFvYDk4tSi51E1oQ+WBNl2MftMCmb1ScAtxfphVbaPwUJ/xAsZe/zxboqMzZg+o9AyawrLli5X97zQf4B2ytVvIWOuwu+TuJAxHzhc/SFkzFX48xMXMpYPRVweCBnTV2vOJgytWBdj9utDNFzGvG6l0Xbqeb3mr8fZWDMmCa0eboEWTSrg9uI3Lxl7a9R7ilj1eCr0wK0DXhik7mHg2FgQIWOxUAs38iBkLHbqQshYbNSFkLHYqAe7ciFkTIds3qnxaFzxJWw2TDVmfNkGZXovQ1CPg/OT0azUzUvGps34BnfdcTeK33u/DtHgh6UfKKO2QYoV3yAhY8Hry8mrQsacRDt4WkLGguPj1FUhY04h7U46QsZ0uOckD0PVhuNwPE93EkDWwh4o2XEWgrri3uRkbPrMOej4SJIa6eL2RoXJjpQdSvfxTl0KU3XsupAxx6AuNCEhY4VC5JiCkDHHoA6akJCxoPB4/uJNRsZycXT995g7d67J5zus+H4QKjaZgDQjGVvyLEq2n24JGZv3wzxUqVQt/1Pq/tJqdGjOd/Nh/DBSsV6uXL3qp8N7Vq/doFdTx9tTdprqnko77aPLVVLGdPl70ZIVPnr8sW//QVPdA4eOYNmK1fji86mKYI0c/iYWLFrqp/vdvIX5Nke9PVrpfvjhZD89pr9jV2q+rnawYtVaU91MwyopbtFkVqaNm7dqpvK/eU7TJaH8cvrX6rcxij2jd2t6+u8Vq9bl29IOduxMNdU9fuKUppL//d0PC/10Fy7yn7Ylxvp0tWPWiV6uX8/Bp1/OMNU1rohjW9Ds6L/Zdoyyas0GU13jjgVceae3pR2v3/iL0SR+2bLdVPfsufPYsGkLTp660VY5cqrZ0X+zzRllV+peU92jx04YVfHD/EV+uj8uXOynd/jIUT895iN1734/3cXLVuXrzpj9LT6bOlP9Nu5OcfrM2Xw9fZn4QmCUtes3mepyVZpeuGuB3pZ2vGbdJr2aOt66fYepLvOll9zcPEz5dBq++fZHH/3FS1fq1dTxnr37fXS09A8dPuqnO3/hYj/d73/8yU+P9abZ0X/v2u0fYHrZijWmutzJIWXHbuw/cEjZZ/vS29KO2R6NwnaoXdd/Z2Rc9FG9eu2aqd6qNet99PgjeccuU92Tp/wXP+nTnD3ne3zy+Vf4afFyP5v7DhwytXng4GE/3YU/L/PT/faHBX56J06e8tNjflJ27vbTXbl6vanutUzfxW/sVz/54iuwLPqymfXNm37Z5qPjl2icnbjJyFg2Nn00AH379jX5vIDxs0eiXo3h2Kl3GQNwdXYSSnVfYMk05aFDhzFr5uz8z7BXXsU/77wH7HSMH26nohduIWHU4W++MRmFjd5M1/jn4H1metqDUG+Xy6rNdPkQoFy6dAl//dPfULVydZw8meane+z4yXxzlStWxZ//+FccP+FfbqZh7Ox4Ix8UZukbH3TZ2dmmeufOX8hPXzvgOTObtKEXpmGmZ3x48Z70jIumuteu+W+1REyMdomdUYixUY+/jQ9k3se6M9M12uRyfzO9dJPtlNjGzHSN25qwzZrp8QFolPMX0k11jSEIGDrFzGba6TNGk+ALjJkuX2SMcvyEP/Z8ABmF4SnMbBpflngfCa6ZrpEIk9yb6fFFwihnA2BP4q2XQP0D7zdKoP7BuGUQ822WT+NLHe1fDNQ/mIT3IM5Gu6wPo5DsG/X42yx8C9uDmS7bj16yssz7h/Mm/QPbrZlNY98cqH8w65v5/zKzaRZWx0zPjLSxHzDT1fpmffkL65s1XfZXZjbZvxkl9L7ZvH8IpW82phlvv28yMlZI9WUtQPdS7eDrq5+DTUMTUH/sEfj+pQ22bvJpSg2Ndm06qBEvBoINJMuXrVA6Tzz+ZCAVOS8ICAKCgCAgCNw0CAgZ86nqTKzoXwGJr23GjbEeIO/ETCSVbYEpR25QsZzkr/DGmB9w0DB6BiFjCsmFCxYqovVU1x4+yOp/PNK+o9LZsN5/elWvJ8eCgCAgCAgCgsDNgICQMWMtp6/FqJYJqNS0M7p3a4fa5RPRc9ZBaNzr6ox2uOWeXlhmXFopZEwhyWmNhPKV1BTkyZP+0w6HDx/BH3/3J9SuWceIvPwWBAQBQUAQEARuSgSEjJlWew7SD6dgy7ZUpBldTXJSMLLHCCT7umuYWgnlZLwEfaWzpeaf8Oknn6mRr2Evv+oHweBBQ9S16dOm+11z+wT9t+gI62Wh3xCd7b0udBI28zPzUrmYfzqOe124QMjoG+i1MvF/rfdZ9Vr+mV/2r+xnvS6btxQ8K7xeFivzL2QsTDSvLhuNl2YfyR8pC/N2P/V4IWNciag5CmdmZuLuu4qiyG134pzOeXjnjp1qxOz+YiVjcp84CW3h1zxdOyGhLVyD3i9hCW3hB4krJyS0hSuwO5aokDHHoDZPKB7JGEs6buy/1AhYqxatQXJ29sxZFc6Dm4LTrywWRchY7NSKkLHYqQshY7FRF0LGYqMe7MqFkDG7kA3RbrySMS4nb92yrSJk991TXG0ITiIWK/tQmlWPkDEzVNw5J2TMHdzNUhUyZoaK8+eEjDmPuZMpChlzEm2TtOKVjLGojBc1aOBgFUetxH0PqNEyY7wlE0hcOyVkzDXo/RIWMuYHiWsnhIy5Br1PwkLGfOCIux9Cxlyu0ngmYy5DG3byQsbChsy2G4SM2QZt2IaFjIUNmS03CBmzBdaYMSpkzOWqiBcyxqjO3HbEy8II4owK72W5Ea3+uJeLoPLOiN7cYsbLwvyb7dDgtTIdPXYcxij2XisDdzYw2zHBS+Vg/2q2O4eXysC8xsOzwg7MhYzZgWoYNuOFjIVRZFEVBAQBQUAQEAQEAR0CQsZ0YLhxKGTMDdQlTUFAEBAEBAFBIHYQEDLmcl0IGXO5AiR5QUAQEAQEAUHAZQSEjLlcAfFCxrzuU8JmwJWesbzaM9SmGg91wTJ4vS6Y/3ipi1DbXqzqyX87dmomHv4TdqApZMwOVMOwGS9kTB+BP4zix5SqrKaMneqQ1ZSxUxeymjI26kJWU8ZGPdiVCyFjdiEbol0hYyEC5YCakDEHQA4xCSFjIQLlgJqQMQdADiEJIWMhgORhFSFjLleekDGXK0CXvJAxHRguHwoZc7kCdMkLGdOB4eKhkDEXwXcgaSFjDoAcLAkhY8HQcfaakDFn8Q6WmpCxYOg4e03ImLN4B0pNyFggZOLjvJAxl+tRyJjLFaBLXsiYDgyXD4WMuVwBuuSFjOnAcPFQyJiL4DuQtJAxB0AOlkS8kLF58xfhQnpGsKLG/LXdqXux6ZdtMZ/PYBnMvn4dM2Z/G0zFE9eWrVyDo8dOeCKvgTJ57PgJLFuxJtBlz5yf+fW3YLvysvB/vSt1r5eLAO4iwJcUrwvL4PWdTuyoAyFjdqAahs14IWNhFFlUBQFBQBAQBAQBQUCHgJAxHRhuHAoZcwN1SVMQEAQEAUFAEIgdBISMuVwXQsZcrgBJXhAQBAQBQUAQcBkBIWMuV4CQMZcrQJIXBAQBQUAQEARcRkDImMsVEC9kjM6x165dcxnN6JI/feYsjh0/GZ0Rl+/Ozc3FtuQdLuci+uQPHDyM9IyL0Rty0QLzz3J4XbYl7wTblZeF/2v+v70s7F+9vgiB+HOh1FWPPyvsaEdCxuxANQyb8ULGZDukMCrdRtWsrGxM/OgLG1NwxrSEtnAG51BSkdAWoaBkv46EtrAfYzdTEDLmJvoAhIy5XAG65CXOmA4Mlw+FjLlcAbrkhYzpwHDxUMiYi+A7kLSQMQdADpbE9evXcf78hWAqnriWmZWFvLw8T+Q1UCZzcnLA+vCy/Pvf/8a1zEwvF0HlPTs72/NTY5zaYzm8LmxPbFdeFv6v+f/2srB/ZT/rdcmKg2eFHXUgZMwOVMWmICAICAKCgCAgCAgCISIgZCxEoERNEBAEBAFBQBAQBAQBOxAQMmYHqmJTEBAEBAFBQBAQBASBEBEQMhYiUKImCAgCgoAgIAgIAoKAHQgIGbMDVbEpCAgCgoAgIAgIAoJAiAgIGQsRKFETBAQBQUAQEAQEAUHADgSEjNmBqtgUBAQBQUAQEAQEAUEgRASEjIUIlKgJAoKAICAICAKCgCBgBwJCxuxAVWwKAoKAICAICAKCgCAQIgJCxkIEStQEAUFAEBAEBAFBQBCwAwEhY3agKjYFAUFAEBAEBAFBQBAIEQEhYyECJWqCgCAgCAgCgoAgIAjYgYCQMTtQFZuCgCAgCAgCgoAgIAiEiICQsRCBEjVBQBAQBAQBQUAQEATsQEDImB2oik1BQBAQBAQBQUAQEARCREDIWIhAiZogIAgIAoKAICAICAJ2ICBkzA5UxaYgIAgIAoKAICAICAIhIiBkLESgRE0QEAQEAUFAEBAEBAE7EBAyZgeqYlMQEAQEAUFAEBAEBIEQERAyFiJQoiYICAKCgCAgCAgCgoAdCAgZswNVsSkICAKCgCAgCAgCgkCICPx/w5rA2WHTjSMAAAAASUVORK5CYII=[/img][br]In der obigen Grafik ist die sogenannte „Einhüllende“ strichliert eingezeichnet. Es handelt sich dabei um eine Funktion [math]f[/math] mit [math]f(t)=c·a^t[/math].[br][br][br][b][size=150][br]1) Lesen Sie aus der Grafik den Parameter [math]c[/math] ab.[/size][/b]
[b][size=150]2) Begründen Sie mathematisch, warum für den Parameter [math]a[/math] dieser Funktion [math]f[/math] gilt: [math]0<a<1[/math].[/size][/b]