{
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  {
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eq1XH4LiyWX7w+x6Ug+ffYg7g5fK7fs8fK9/anC+b2+Pyk3/6T6E7mFvYW6DSMlRhwo5+U5mnV7fEhCXTKJbMijs/4jZd81O6paVJo/QY1u5OnyG01zxDHiqTMe8a8SyRT/MMfTRH8Cw+ZSDfruKodManSip8VtzE9V0ZRxb6mw+WO3FPWkyqdml7B93S39sooxMqUZeh+SKNETOSY8rFweHfLf/Gr1gtt2+OyvuPh+U/+tEfK88ezJfPXrtS/uDv/wPlgB7MiKFA0pTO5IO2JvmZ/I2isLzKt/SFduGFM0xbeoWxHAljeRCfuIfIwjqmvHw3XNw+ujXBo1ueNWd5wpzVwgaacUIDxwqWSmVg2RjulcXhFnnLcGltozzeYdHkZL68fHuX1b2v0Zt5zsrZ9fJbf/MfoR/DgkDvdvlDf+h/KN10oU1E4k1QwWgkJIxXD35kXDiJ9xE+zAsvEwpAHMKmIuhOARPeRz+FZOFwYk4FpJ/MGq4JnLgtGOKP4BRkcBluWj4alU5T8PJh+uLWng573ivzrbfo7j8pX/j0S+XRA1cEWCg+2SyvvnarPLx/QOv3EtjIqA5LvD1a+R69oHaf8TSVhAnZOcabS3OrVQ7hVZn4SKemKU/5kxZbVXmRHuH0bxr5Snz5FF94FM58c7I7ylFc4kja2vpFgYcG/eS/0keP66S7xwTk43JlYatsrDFjv3qlbL1fyjFyvPsKKzpMLl9du1bGG8vl8AgFujhP4WXyu39Y1leXysHJcZ0xkdbkhW7TSVqmnfKQ/Ky8UpidhHWJ1zKzjkw6bRQMcTXyY2+kLqSB0/mTzDkoa1tte3sZ5phe+I78lJNyi5yFMcxyNyzMX81t07WnIWT1puOcAZV1cZUJe3pjJ6OT8vrdpXJleadsP/6nZWX+Lr3CQbl6bbUcbG+W26T9lJWcPsMA8cqjtvybpumk3MmPNMhTZCGs/GhLt8Y4xhVHzSNsy4pxEh75KifhlZY4YlKWtM3r5Lf4hNffNNrI/ohGudOFBnioc4MUQ3ISBc2QacLkN8PajQ1XF5kvGrxbxvvfoLwflTs3mOOEpIPn22WXXt3cNJ1pYmZOGDVBhS0DEYAMaMK078KHOGF9AidzFhArdPDam1C4Kg/dwhtu70GGU/BNJ3HiNlx8+icNex/JLAuNuORDf4UV5WNc6ZQX05Q24daXxmXu6GlZXthmlaZbrlKmmHejQA/K02dMDHYYE1PkJs6L0PUbT8wIBM1SMeoOZYJuYa+FspKu8JyM1ZYWw6Q9vYrQrx1Y3XlXxnmkO4945EVb/uyZ+J48EpfvyQfjBX/oMw3prf69UVldXyn7W3tlacCMG8OcMndYnMVZope982wL/pyXYN/GInMQTE724WeRydcJKyBHzC0NlUstztM8k+6kad6lvEiLNJh+/J14dTXHuZjqj115AUZYH354pnjEa76FfuVZ4UFomPCpiOLz3XRjQldk2+3Q42L+o0wYpiwwzGA41aXHdXC4U04W6NYvQivu8vxZubs+V7bhd4lO0nh8xGQ1CnlMhWS+JXibaSUNaZBGTeUHWxo1wiSOOHw373yElYfITZ4/JDvgNcb7QI1UrzN6DAt+7bitMz5jJphHlOUhfPSHNtTmJWUMv/kFVojmlssO5XxwwnxfF3mwwvnq+lIZ7NwvyzeQA0Vmmcn4I7YJ2HvsRhBTMj74DeMf+HxY+xnvPJgmfNyV4Qbz+jf9Aqctztkw3xV0jDA+ZpIZkwwwXLeCMo7CT6HyfdZ0R2x6GqFxd5l/eMYyIvMjNZspXz2E1FHgtiYUOLKF6NgTCz8tEXbln4F/6Gnij19oMSOltcYBUDrDk37J7PCq7SNc3Nqa4NIODv3Fo0z0D+++p/BoC2+4hbN/AreIdWOeknHMKsLhciksA7Ma7vYDJuE2GNHRpWY453BmzBi60CNr2VWokvrlMpUO6Qyfvl9mbADsWVSaoUvF4bAl8SvvIAjvwWW4VMQEPu813qm84jdrO0x14n1CN98ctnJRhaFhajOVUm4vXS/XB86lLJWr6AS2JpXHT4/KAu6D/d3SWqUr+zFNUz7mU2g1b1Iu5Cdlt8lb3NWGvxr3Y6YfcHKJ7Ech4jFmqX/CUrgNp3uqWD8Dd7ssoEQOmScc9Cfl1vJVmF5hgxtDwkcoN9seJmXVx0BPl4aDXALzxC+Ma59nEp6wy+AUVp7z4CKo4IqdONoa4VIxxWNrbEXR9gkPyajgCa3aPr0B48XR91OBmJFmEuklWNy0MUKpHDN2H0yes8uQdpr0WhQwTS2AzHy3WZd3E5WrPmRFDfMnace2RyLdpqex0iTMdyt76LQgaQyXP/0z9DN+FIswKgNbaXELH1t3E1/ihOfAiWOMMj3eblNh3ijlERqEwlP25striGWXgrJ9zJTriKEkra8rHhOGenTh4IXKJt/4TWv0lDfTMH1N3NqzJrRcZodOY1fdpc0j/qRxkTJp4lXeFxkbhfbwGvjY2UkvpSpM8lJV4uRwdzhf7nReLYNvPilzz1ix3BmXG/MM7di0t7HUrpPAj6adjIuS+JC/dIX2uLU1TZqbkcw/8zPmQ/yfyjphH9dGfTLZSmPJ39j8tSxBj8lNmC90e+zhgUv/Syj8lXL92udKee+dmuedlVfLD7xcyptMDYzcp4PC7ZppYUhiwuxlhJ0niMAbP/iatu6LnsTVbqYvvPQpUJ+mUcAWlNCf8MALa3j8fQ89ujVzg6XyF37Xj5ero/2yM3+tvP114qA7hst22xgTzi1QqWmCbKngC1VYlQkU0aLRzXWcY1bU4c+0aId+bR9XXmx9fVR00lB7BSgDFYZ+0txUhCoYH5WF8cRjPG3h5N0nCidyqkzxExnIu0o2QwPh9YvMPB5w4+rdcvL2dvnrf/JnaHK/VTbbC+XrX2UfAZ2U3jU2+FGoLGQqjlqk6ZnUWm1i9tKoC+RspU2v0Bm3doz0x4Rm+cych8o5vBpeceGnMqlxT+MHj9jk5ez9NDy4tZsVMWnHbtEjaaMwrEhjhlsj9hK12eVsqyxvPSaet/7Zk/K1n/pb5RZDvHvsEn7vnx7WBse5tUePNlmbpUZdYqRBExorTw06fc8jnPQKa9n1SW/SME2Tn+Cchpz/m/TPCzXfbJ4nlO/BaQOhYtFzMnb+0u0Dq0ywLpSnh5Oyfe9Z+Zt/7m+W1pO3y9ba7fK1v09+r7F83GZjHeW5DnOSYIiLHQIM16/JdPwCM2sHZ/x9N+Pz5D1w4j8vXeGtQFEKoUN/hZ1KJZ5UnmaFEc44wiWt2D0K0pWDW+XaCSsibF57ubxbnjD+2zvq0esflQM25iytsCaKsmjZ/ePPouYYvw61kTvJnv6E0w/s0Bra5EM/H420SavhumN8b8KmgCWetvDCCJsn4XnX1i8yCp4UUEa55Whnr1zhaMDho3m687dLm6XOV9guvst4+MnJE5YIbbFdwZm2XCCETJ6Jy+suX04VatKSh1m3fqFNtyY0xl09T38MO/OXv2bgqVt8szgTJ/HPifYhL6tSewwP8DdwCEemtuFrPCHP4bfHTtCXl+6Wf/aQssYokNeyDLvLbOyb49xWt7fM3NkH+fYh5DMvszIJ7ZFD006YdniZDf8QzExaL/qqku7U4br6Y9ormSCHMTIfF4d/C2Vne6vMr9lwoljKWnn6bXa6H1wrV3rXyheX3i5vIpcRS+hj1pR/2ZxJiAxBMtFkKv6xE+57GE5Y088wK0Dz0S8w2qYzm5YVxsd4oS0V0PhOsqpUDGsqEyuMLXFMaAsO33uMmRcO2mX5qMtUAUMKgdnE1abLu8SGLvcbuAxqcZ6gue2h1LkTWmeoqX9TFs4r7lN5OExp0m/6vocH322d7a3Ih0Zepd8hkgpAI5w0xzZ+ejvCRFEIq1tcwos7ccQXWqbwjJcnh+UKk4nHxxxEPGAuqA8vFLJ5rPUlljzh2J5YHU9XSRgsHfaY3NPj6tlUzqFPGnRfZAzzkc8uk7n2THwfkV+j8TQvfZfui0zFQWDTnoUP3xfhqK0ytDtkm7B3ZkTvROUyqhUMhc7EJAdxytphp7w03ihHDAO7bvKjl3JI5ZmwLGw1vMw0+Zh1G898UA6GaZuvPrp95GGWr+CZ9T+PDmEvMuZrF36locVeqSptemf2RFkk590FFMqEKhPNMwfAytFyWT9ir9MWZ3hocCC1rr7VjYUm1kzwPOJniQkziRc7cHmPrb9unwgu702YxG/CW/h9NKkg8VPoVhaVhmGx9Q/+GpGfvMfWv8Ms/hrLvNfYkLaNolgVjpbWibf5HitOnAZWfdTaZWXmrU5AAtNmj4LCb7OkNqqbLXjBNPlRlq7mpIAY1iwAvqs0pD1P4hsn+ORX/8QPjqaf8fWPfC0gPiop40c5Ga6/8AX+FnpHZWWBVQrmQhYGHG9YqEWqsCLMAUAUNGNq+nwyBrMoFZbDqXnEpeXijFJx702Dr6a7MnD6I22hO3wJq0lY7KnvVJbSOi3lFbSmNXURfuoInqQtnhovgBfaLo+yr8WDnGT6pL1IznKWiErUomy4nagccdhz2C/XOwtln94Iu8epYJSSY1Z/5tnz9BHKxKRD16w779oa4cKL75GH9kWm5vdFgac4Lgx2mDqeR4GCv05CY9XhDuXUyVgE3GXFb8TO394cDQsKdIOydJ1J2WcTzqSB2JrZpVx4GHNaS09Tu4joWWFcSFwjoCmUeMcvdvwvs61UqQDSZ1zfrSCG2dpqrBxnlYT3pmKpAOf89DmPsrn4XllY6pfdAcuMxuOZjA7QGcxpsIeis2QX3/G0hdf0afGdK0HQLaTdan2wQcgkwltolT6fZi9C2lSC0uvms8g9SsN3w+XJePIb5aJfHuF8wndkI2wqU3ojKhPDjRvZtDmQMmHPyMn4SdlceqsMOJtzdP12OfhH1CHK194Ou3xZJrcFc8drB6XZZh6hC88eKxgTBgWyXXGHj+rxAj/uk+gz0T0Cd+WJrfQwJLKK70yW4ueZpuTLVCkbHr/Ammzkoq3sLjS14rBnxp2eZDCSpPNpb8D02Q3epQ+/yvGCtU0qyvtli23A+LCxjSsdgD0i/+r8yoUJfBBQaZW3GaO/NCZcOZh3aSST70Y7T7417gzO5qv4LjOVIoRrz6MLfV2OTji37vGRMftQRuRPiwZlgeW949az8njlXc7jbJdDu/HEG6JBxra+bOLs7uzs1g1QJxwlnjJEQWIP+bTFtPs57YK6oUcThnyXEScoIwDfZd4K4jZhJx/dfeoEoP7ZF+D+CN0+xvXdvSZWHIVoa6rbDT0+xk3BMNxHgUuvFUM7QtffuD5uTPPAofSENuMKayXbWdot//6f+I+RyIPyxaMb5Y/+h3+uMJ9U91HMDQ/KOstlx9DXd18J3b8hBcwdgvQTSg/N3eG0pbs3ab/PZCOdkZGepmuaykDaEh63/AVeWHkRXr4it9jKS76EySSu8lMJ6a9JXugnbvOxmb5p+Bjeo9s+eQ5P64Py6//EryvlynPOJ3FW5L33y9Iz5DDaIG+elgHnV9ocOe+6Q/SYI/osmw9azylEHBVAsahspMlHXuRNOsKX74YlH8/CKIzVrZyQqZvXIh/tOuwBD5grbyqfhIszO19rID+moQktoad6nvNDbnAy3N2fHFw8hALK9AHl/ZBh7Khw7UNvs7yz9l75NX/mt1Pw3ymfZ9bgxo/+NNcWICqOdeyiUjxZrPJ5ERN5xDaOeeF7FHxobuZjk+e4tU21yhbbd43vmrynXlTPmR+Xwgf0LEc0jjQXZZ7VvR77rUTRn2dSleFclxWdlfnF8u7998rNTx2Xf+/Hfw3In6A8Pl3+yK/9sTr0madH9+g5CjeFK7aJW9B8wljsJpFxp4D4Lg5hLcQ5PyOeCMawwDmX4GMFscBbGSLYwPiukEObuDTiCU21UMF9hGdaxokJbNNO2CEbKnZf4ezJ5GlpHS+X59dRpK6d9zg4iGNI4enQvXVXZl0Glf7a0FkAGC7Y3T8t6ME5a1uRlYe8qsCk06GPcz0qBOXX5EE69RNWtyb8GzdKRH/lpvz0TyHSL7zqryJSJhrx+hguvKege8urZYezFo/Xt0pn9X553LldHrJSwUIWhYtNXV0qLfMJHVc6+Oswxq6qk14JgqNnM5WFOE0vj+nplvbwoV9M9bNBowInzplNt1v6fHdiT1gfq0lwueGtbbgl/xOaES3vMXjr3BkKpccQrsskbAd+hwxjT+YG5dnKiB2wz6DjbcrozXLIiinn4Arz0vRa3ZsBEy+oTM4jM/SHR/NH47uyS7iyiAmspaO6T21hjNOEbboTP/YUo+XY/iUyplfmRU99ZGrD6cn4eSabe8vc79JizgjF+ujmA46q3WMwuF6e0jvxPI91oMV1Bl2J9WkmGka0LYjNsKbbeG7JDXOG6bZA29NwG7D2rDIxeWGsZAkLHaFFO0pBJSK8gtJtOsbzMb28i1e/xAtdKdB5jz2ka3Z/yOGlzj5btcdlC+FQ98pNdvn12RE5z2z9MSdju0NaL6uQisT1eIQ+UJHQPW8zY4uUTPpcY1oqFHto4VFA+ZB/wyIDYUNreNXWRAnIW/iO4tAvPItXWNMSTtkkXwzz0eh3TI9rm70jy3Tbby9eZw6AE9+du+Ww/CNaZ9LksNcJOyHpMtSdqiOUx5AubZc8b1Po2sjAoZ7G9KQ/6Wl/lBFeWoVt0tt0i8NwYWN05302nfgH9jJ7gGj35lB2PfGzIY10vO7A1Tp7mwPmwwY9Tk6v0dhNXuEs0ZXymD1IezyLI87w0Mg43fCdGHnVKAfzupn/htkYaMJn+KsyqCFW5fNllDinYL/Markix9zXmFbFYfzAsoYgBu50RpmQxWWP3b5PDw/KFvf2HJ48K68u0QtuUS8IfCrGmvi0wetamFMYk2kWQh8Zi18omSVw5Ky2wj99FIAF1oKugGxhUwHEIV7fFYZuja2tbuNVIREmPnEJqzuC1tZfP+OYRvAYN/FCRzNzgvsD2zsyOGiHli0dznAwo0Svv8yzorC5v1dWFrmWjwJlF7A15LHgo0yglFbd7uCgzHnC9BJlYi/E4ZYH01Qe8uOwy+MEOT4QmqVLE96E9VyO74bJizKSN3nWX9n57iOMdtMEZ+xm2Mj17TUUOmcz2n2Wx5960pZNauhXTwn3OB47osWpfHMob0zvRIUypsVyqdC5EwchoS9p+x5juj7n+SUssE079M7aTTzCJ7wZ90XdLoH2UQgjehfzLFW0qVQ95KdYYBqF4tBxhWEN5YxVrrlFKhI9tuWNq2W4z/CRit5jU6MbvT6piewSPzIJn+a5RtnGz/emu/l+kb8ws8bhmatXFhmO4LiQWY8XWCtdU1CpDmhwV66ul1vrG9x/s8+lUQztD5hmYDKa/XuF3RP0Wqerj2c9kxRGiWk+52VWCDYs8XQnXpSFxFvYmwpBvwio6TZ+FJDwmtm0fZ/1U1lZsXzE6yMdwuluxpmN20N7LLKzcWGyymQax72Qor3WYYtKz0adlnM6HNZpoVycuZ72aFFm/LnRh9I27a1I7AXGnpky8iYxWxndKkCHJ54nkm79tGN0R8nLS+QpP8b1SbjKRf8o4uRN4IJbO27lUOEoMNsco3+JDWpXD29yWIsNSv3r5QasPaVB3BmzXZy06s5Y5lcsYEPnjizf9EooQvgpiw8Kd9IPL7Myb4aHDunSP2HJN3EERnfgdAdW9yc1dQLd1SkUR7+2xjSEg2nPxH00He75bXFa+ioXZ80tfYGt0cwxMJd0MMe5sgFzSPbKSdxi8EmN/DUf8chb8sp89V0Yy0XCanqn/tKg+SQysWNJ0a/5qq0mdUu9k7Gdip8eyPYew/5ReWVlXK5wkVa7fbccMLfGbQ00q3Zcp50HrpCYFs7YZmTzCSMyo5m1hW36hyGFYSVIwYi/77rzJFy8ocF4EWYmHE1DYeYJvlSiSgQ/+hvXJ7Q2w5ruxZNeeen4VRCzaWtnoXyBhoh9OtzcxYUxTCr1kTRbDxAqmYhCUQO729WNTSyG1fEy1TIoz7XtfciDPRNt6XLC2clpJ4edWwovysJHk0Kk0vCRl4SFx8hXuamINeG9vvCTnqE4jJe0DEdNlJv0fF7pbpS5h9skyunQ/kr5PJOSb3GSdtsJOTTIpO6/mOb/kKl+5xpoxxGWCsVWbCqDJu7IXttnNu1Z/9m4CZdOw5Kf5+ERJqaJJ34X2a5OLXLidWBXhOHblI/p+gwzh8wZLZTX2TY+t/k+HRR6r88Pyy2QPTrxdPFiuXHlanm2zwG5qlLOT+Wj6AmfscUSHuXZchDehQm+aiOXjzLGudgQ3xU5GgSXx8c9yjcNSZuzOHOU9wXmzJY4n7XDpWBDzm5dn79a2t9GfSxwqyHnuG4T/W16scOl6eHLqkxSiGNLgO4QEncYmSVOfxnWTtzESaVI6ypMEz7CMr6PRlhhrAjprRimIklY8AifsNDvu+7gEyYm8bRXj+bLz/62/6l8CiXy1pC7V/4O3TYAj65yV2yLKwy402LARGw9LTx27GoX2GsHXFOnR2Rrje9lWWpFl+bcQmeldv7E2+W9PiBXESgHJ2kd1mRSWj97dhrlKs3iUg7yp3KKfMK7MFG4pmV48sQw4ZKv83SGVo5obd+5V/7hX/2ZMvf0eXl3tFrufQUavQxqo1OW6YYM7Q4zqKZTAs/kgz2zqkzEhYsnsg7u0Jz32JWZU35mYRJ2kS39idO0A2+46QQu/hfZc/RKFvrkD/QfcYdJmyGcOVpvDYPfJWZZj77+fvk//swfL1e2vl7mb26U1jvo3A3Wepi0f+sb3yjXXn71IvQv7C/NPuaN5UX6fXxXrnkPwsjyzE7AOfZlsnC366TjFRIoFCfTGdI6H9imfC3B/wpnlt7jMvEbL79eri7cLKvv75W/96f+EuWEeZSNL5XjNykPnOPi5tra67aXcla4dCfx2GHUMM0ZA6cCkNlUcsOtAMKk0FoZsqKQnkfChZk1SU88zjEEn/RYkawgmtChf2gQX3CalnSFD+PEre1jQXp5d618lkq5uz8pnwGmy+nQe+yI7bCAfsKN5B27JpThOsnKRib1vHtN6pjHk5YUP5+LjHRaoeVFmpwvsVfipT4un6sQ9FeB2EvxjhKv4nOeRWUqv8og8pRXH/0iI9M2nchKvp2rybBKXg1vykc/G+SbHCNAhZVDTjiuc8hvl23Ub4DPLu9TLoyep8LVlheW3cQ1qMO7DAVI117KKX7paLp915i2/rNGfx+NPMU0YXXnSXjiaTfjJfxF7S49kwXmQmwUaISRT+2g1NbZsHl6Xq+t3inf3OuUGwfMIR3MlzXY+NY21zCsdrnr5LWy55LYZY3/CxITnswj+dVOGRZFZBJ5VfhT/0+cPEq0VfcReWAUPtgFO6bhYJqE6waYZGa48/LaDXop82Xr0QG3U7AV4xHHkTwIyzDPTZ5sOKq0SQ/lr+qT2ipa+CTaAm7FlRkzy8I5a8LcmO6QiCz4wvoYVz8rkcYw4X0Mj1u8vkuDthXAeKk4DhE0wgujv7b4s7wqvHRm/kGc+qVCGddwlVrCxKO7sOPz9sqVMnr/MT0RvktjWt5V0brC2JB7PlAabSbo2iwD0xesj8eyVR5e3TiEdwAqjf6YbtPWbdrKVWVhr0NF0rxYWhjD5Md5FYdDoU//yCeyFJcKxjxSrsKaRuQjX8pHY5jxhDee78JplMs8vO0+3S6vb9wobx3SA0J57HOs3v1IR+jsa9e5ZwYWvRZxbpUhATsfPYpOe8SYmpUcZOD2dzabnNEsvT6m5RNaZmUjjPkrPSkP0hUz69eMnzDt+Dfj6Ra/4eFXP9+bNnWpbsRzzD9vw0AcFaZ5bG+spRxZYOjA5/UNLo06YCcoCFgdRij0Np88K/Mo/gEKRdzmg/Q0ZRD6QqthmtBSX05/zDsfYZSbtjLUBH7WrmnOhAvThAsNsRNWl6JoHEzCvLQ+UJrgkakPyJxAgzfvT7hYukcduMHFWd/GzW6Bsvtku5YTTxxIo7QyzzIVcKWYHxOc9UvYebbwiWM8HxErFP2TkH4+wa2/T+AC28SXOMEX3ElHWE3wxtZftxkSWOGCO/EG7Cd43n5eOuvs8pvjUw7vIED+WmxaGvePuaG+X1ZYFqzXDriMphKhGfLg25Dl0iGtV4eCR5QLjXTkSUGJDEJHaGzCqQBUgFHE4UUY5WYlMcxHE1yxTUscrhqJx3gWvMi8VnJWo9xjsMkurANmn9c4Vr/+0g2U633OnjBFsMUt/chwYNfXws3DC/JARoTjyU5J3il8ppuKqzs8VeIu+YksLgJphscd2zjyFZN0fdfdfA9MM66rOCd078lO6DV34QRe68QsHs4lPOcTIM+5qv3eMfcBc7UYHRRuhFsqbfZfrNLgHFIBh6c0mJ7yTT6aljJvmlmamnSGNu34N+Pqno2vn/Czj/4fZZAQ+ciqHIqC5lzkRKGMIAPrgT22I3aCd+s9wW2upEAGy+wWp93prbNV4z7zTTQuljXLU1UmYeKjEj8vXOY0s8yYgEZhKlzf46fAfRJXW7gmHcEXQn1PJok3sPFPZROvfsZLQQus6TSfw4V++SfLj8ptvqW0yx0Vb/1DTspK8xLdWMbQE04Vt1EYE5bPbI9QCygSlAgPsxG4VS1uN5/yKl2zJvSFHmnSTzoih8gitjjCg8pCZaBiCB/2NtIzcfgkbh9xWqGVpY9xlUtTtoGVDs/0Ld2+VR7Rd32f29e3uFFsh/02X4EdzreVlVvr7Ajlflb4lkcoZzzNUJAwjxR0qGzetOYGPtPWmJYmfNaXS37Ck3bcTfCmX9MtjO/JY9NPuO7QEzthTdzcKFCOF9Ui8IWby+lPe6HwA6MnnNu6z27P0WeXyz6TridsYPz2P+B2Oa8Y22PegJ7J3M3rVSEn75J20g2dTVu34dIUON3mTdM0w/Rv8lDDiBNjWFPmhvs04wQ2ttdodPioHCNVN5zBMyG1B07HC/5H1lNu2OvTTTliOPTO4b0yYi7giI9cPuxslq/wlQKmFmvvV/7PeiYmGgKSmHYluukx405mhujgSDwrgTBNRi+KI2rx+AReWyHHTjrxM44VJsrEymTaiR86zrOP2fn52/7Y7yLRx+XkyXz56Yc/UXbv0/hymmsw5GNIjLLq8AltTYe5zvaP2Vvh4z6TafNsAfhwIZCm80xolxaFn0qvLd0+KgCVhe7AiEt+jNeEMZ5yUNn4+K5y8VHZGKb8s69FGUVu4m5zeOve1tPy2dtXym/6ff9pabP0Nx5dLz/1/h8oR1vIFXxu7BpQZuv1hhY6J5+xJ45/al94mmfi1ST/6gs/kXt4j3/zvelO+Hl2cCVs9j3+2glr2qaTd91u1Dqgz44omGydKpKxk0V4jKg8bjW/8aWXyu2X/4NybenLXADUKbe/8pMo2GvsM2nVb+rsokzJloo3+dmk4zLeQovw5m/TGOYz638ezKyf74l/WfowSqNAQ1kbA+RAPk/Pm7F/iQl4NgUzFN3jnBZHUK4tlvXXV8qv+q9+lGhsLilfKn9l8w+Xr32bYsDw3fL2y3omEnE5AU3SPyg8iaNALahhxsKsqYXXXMMI62MB1L9pZtMXLgJNRRBet5Vj1p10tWPi53vS1n3CPQy7q8/58NBzTkGulPeoD/voiHlmn+bY6bfON0X67IB1c1OdelWF13/X4cHFOHN6haHYzjdJu2lHFtqhR1sY5RdF4rt8JqypSBLXcBWJCkOjTFwVUiEZX9tHJeV7lK5u7y9tc4z+iE+kDu4y2Tr3pDzeH5ZvMcHGZ2TKyhJfdWMoMH2QN7w7QWfjNWSI6OY1C6M7KJs9J3FX/Kf8SZfv8qGJHXfeteOugPzMlo/4x1ZeiWc5SXzt0BDY2TDneoa0wGYrFo+TsWxItMfF8G3MfQPvHdwvr78M3TeQ3zFzTNS9PQ/nsGx8gKzHrIDQ0lQTOnxJWtLQfNfdlEXCmnETJ3ZgtDXN+IFRDuf5T2Oc/yvZKlQkVcu4hbsO8+C9L1/k/TLfWXZF0+MFu629MnqNBYP+Uz7A9az842/TuHi8gPJlPn1ImYQw7ab7fFKmvhGCduKlAMz6BWeUQjJfuMT5qLRSuSy8ViLjBY9xdftEuKHJsCatFZa9BSdcGtxijdTPOfAlh8LlYwiXjzexhVgF4tiYmYHaybcn4p4Try7o8tRrG2mdT8uSKC800iGtPpGD9MiHj5VcmkN/woTVbVizxxJebBESVzxOtBpHOZlWE7c4hFVuhtNfZx2Hsz2cDD3kJOhk5SmFiN4OM9HoitLn3grTqXe0IhMvB3Ixx57KMYXLcyw9WzZgQ3f4C4+h/zzBhAfDdH+UCc7A+W56STvh4oo7sNr6Jaza5Byx64Qi0wK1Ig2AGbCCNyBfe/RMhh0+rzG/T9ngsxcoGkYGnKggr1Y5ZY4yQtXX9MWXsqntE/qaNMQd+qTduD4xF7kTrm38qZqauvVTFppZfNXznB/nhIYdr9mgJ4bicKHB2RNN3ZhIAicsDHTM+DrJzOdD+eohGxbK4gYrWxt1602ZnJbhs2FO0orA8/5RduBlYFZACqoyfZqJEVxs4wQmwk96iaeAfCJgbSuElSRd+8TRDk5bcZ/gD4zvMW0Hiaxg0LRy6Q2ZQ4vMnjVaXz62zgmmEV8085s5nlOYcAmQd3t06Y3MMY/i0qFzBX2GO8M62AzWD9vN9BISGuVDPoVpPsrCd217FJrIQfjIQn/hDFPRaHRrmjDGUZHEP7Lt0hKv9lm2RkmOjtmhy/zRkZ+EpBCZKj19ToW65Ryc/E9owsdMLthqHzM86DHUadUJ2WmaobFJQ9KSnibtoS92aKtENn6a4fEWj8awptx0xzTTbeJour3HY6nmJ8MceG3R9TqhRT6BL3nsIoB5Pm/itOt4xGQ09zJwjKcM+D4zWrgc0qDMc+7A4YF4Q08zjdBzkd2kuQkTfE2/89yWEU9Ty69yTzzxfhQdXv415D4Xr6v0QigvWG8zh4JaRUWqaPljXmSFBuOE1b5lbqAf837Cbth1FOsKfD9HbiN7qaQ3VUPnUfmCfslYwSVepPppy6gVOpUjDDaZtJBHw+qfQiC+KiCFxAPdFa7Cmg64rYyaFGLd4gj+FOqmf+gTxq/XbwzXSo+PNx+fcA7HlWjqRd9j9Ryv7zH5dIL2lo4cM1dvuALiORVpqqdGTeACYzrhW5DQp0x8VBZNOgOTOLNKQv/AS1cOEIorsostnMvRKl2f9FIigy47Hk/oga2iZ7iDvTZHO3uc5GbvAOqHFS4mcpkgcWnU/TaUH3eZT3fE+rHu6jFl3LRMt+YntmkknSnE9Dd50/TT/XH9Ez/pRM7hPbZymcWftGoOwrs7X22JW/RUqRaAyz3zV1z+1OHD5spwYeUaSoOzUhTAx8hnYQ3ZzNFgUX7daiLOpBk7+RRaz7MTzzDjaUJfM6wGzPzU8oecPRt01lgAU8vnabk7jwbjaaAYblUc08ag+qFgrG2u8KgkvZ6SKkCPlM+20tSu9/maAx9us9nl6xicTSOMcuCqJtc2TtG6X2T6TAtFl+6uisACGCaF1MhkHt9lpEl0hGB8/X3EkThNeyq+KU5xxSRNK4HuxI/bNP10pHsgLDApVKbl/gzDMwQQh2laMY2firfaRpEc30Y4rKOznZ7FHbr77rFwApYhyKFLxkyG+vlPzuv4oSLvfnDYY3fXctej5aYsnvEm/aYRW3c2rEmDykPaHI64z0JaoxTzXSH3oig75z6MI0/a5oU8ZP7DvSni1t9w+ZJX8UUOqUzappfekPTtjlGia/tlbZEa9fAVJgM+W64/YKNS/2dZxVgqR3Tzx5wkdjnYsYwb1MYMCdvQsDTkkwescIzqh5enPEuD+LVjzBeNckge5T186a9buYRP/SLHiuCCH+EDl/jBoS1eje7ACq8/q6Jlz20A9Dz78Elzwr2vhNW8pzFprZVr3TfK8i5HDSgbc/snfGeJakTezHvNYb++VLqbaehOurpjTF8TW7c0J4+MI215N69n5RleI0vfO6ey1R0+k0bsxEu48UfsFepwlMK5ogm37rX4ZlDf4SsFe3EwrSt9ei5DxoBP97fLZzlFXx4ytrEN54CsK2DeFkWypcc+HcrsdClRxpKpISoCkYAmMcLGBMb3ED7rDuysbZUTr/YHxW8KNa2OZIrhp0+FQeBjHu+cNG0FriY2A5qCt4JZ2eIvVuF9r4LE7jGh9sd/x39XXmGeZHjllfLs2wC5c22Fz5vWJTEKDOrZ3ogZVunkxZZgcFow6j6T05PTyWBtjfJIYXHrvI/b6FUa8qRSUOFJl++6XT2K0jM8mW+4cOaX4ZVv0kkaKiXd8h3epUNlY1zpCC3CVfrQglfZIr75z75R/uJP/ES5xuaSR61b5SnbpJ/O8c3ldT60TqUheuXddsylcATAnAq9NwpjPWqgVm0Y00saevt+kbkszDhNPLqDO/ESrh238ZSVpulXPRo/Ho3osXrDLFhdvaHTTz6jNeQP/3nuuB1vjcvP/vj/XgabXynLtzYKu+rLDq33cX+rbuqC019WdhtJnOsMD+cGnnqGv1nY2Xf5c06rlqEgRN5+nc/8Fz64cASCfLXngTagByK/Noi2jt6wZi+8Q6/MeHsozLUba2VtuFo2f/Gb5f5P/njpb+6XZ5/7VLn3DSZf2VYxHvLRuz5TAEnsLEFQJmNSKc4oOHUkfNb/k7zX9Bt4dYYW7RSKJm4rhWGeatRdu3UITmUSrS6NttJW0Ca9wtgrqEqGiym+PHqj3Hl+VB5wOvSLJPKQHtwxvTSV7smIG9rsx9F6qY5RWxQ+CjSt12KtSCo2WmeqWNKIHXrtDaRyq0zsdTg0kX6VhTTKo7K2J6J/aBaH+DSRhcrEeD4aV3GMHzmJJ70T3cI3FZC0JF/nHLO8PyhvcHztCRdr32Vqv0Oh+D7w7lOn9o+455STj3BAYUMZcQCsx1WP3KiFNFgJgdbQJy3SmPem2zCNfvHXjolf3mPrH1r1a8KZTnDozqNf80l5SPzgFr43aJWrNCjWJC87anvfKfe72PBKXo8NaXd6K+UXucTkBgs4x0eHhX4swxuGv7TSi37EnYoXE/pCl/6mE5Nw35vuZnjC4pd38QRvbMOCP+EJ0/aJf/AlfIoXxcGmzTqDTt626jeR5J4ekd/PpnwscTVHecZQcXNQbo2vlp2D1XJ9aaG882StlpM3WSXuM4lrvbKzfpYRZlyEHzvEhGjhY/SLf2zDmu4U8sSZtStzpwIP84EJHu08hqXymE3SbDyViv7CNQtgcBhPuJreabw2SmGdD3Et7zKsOeRiZfwdYXvv5QI3ts/RKznim6v2cR0vd0yLCtez0rGRzWXEQ7rIdZTZ4KGZDpErbdrpOeUwX96lXTr1N65uK71uw5pGP/nUP+7wLN/iDP/CiUfYKBT9hNF0UBBddqe9xCGufWfsD56XI7eIE6Ys1tduolTp8TiupqV2y/UcPbo5jus76eykHegohOcrEem7zMyGy4dP08zCJCz+8hN+z4s/C593Yd0ms8ASHhKlQpA/KJMTeibuqbEn2ma9uEvDsoRsPrV2tTzmHg9moCgf7N3Z5nAbZw6WuJKuSXHoSjqxw5fhF7mFvSh+8MQWLrBNd3DHFr7p/tA7ZdezOX5Yzd3MXrVBDUI/cvyEfK09T76Xsza/XK5sLJVPtfbL32frwMHJIZv4trwFqE5In1RZna4DNYkyMU2TAN2BafpPIb97v8EdW8wWFN/zhI4IsPoDl/fYiWfLrWK0QtmaOzywADosWOdgwRaC4WOHLAEzdAAPMqxj6CMmZXe5B3ZuhbGjfQ8EzaJH3RHrLWMdW3V0sZN2ziVoQneTRoctvpuej0MvjX7Cp5JLY9yJL5y0+sQvfGnrJ1+6Nb4LqxG3/ioT+Y7yEcan0mpvg4m0w8NdDqwxd9Ll+8vXGWrdBxc4tjl/4Y3tKg6vqHT1o4fM5lEifGAEZYpfhfyAH9M+w3/q9l0zK5/q2fhJeLyMF37iFzuwkY3yS7pNeSTtxGvaE2ZOnS9wKI1qrvtLmPXBZsEXMXoRVOE4xeb2Yw48PiudNRfSKR8O65ixvXX1FkrYSYMm1vPdoc3QWXdojB0Y3wObsLwnFctM00Qu2j5N+IQFPp95dReVU88qEtYVYI1PyDBnam90fY1d0NtcmfHkeXnY2i39FerRldWyss3OaxC5gdGyZT6cewesiQYgGdMkRHfem5kdP4ltukP8ebZwyYvz4ph+07/CnxZO8Zl+hjkRuP7CGddw3dqGh175G3Eb+9Orh2WZlnbAxUD3f4lhA3nDvCxXe7Bs6ucc+HPbsWPrLi2wm7QmTMT6oSa/L9JlGbHeB0FaodX0fEKHaVmhzXiHMsKFFm0VnJVBGIdCwgljPI0w4Ud/YbUTJrywSddhnErEHog4tSMHcflo3IzX42rNp0fvlf4rcwx1DrgoelDe/RryI7yzyB4WVra8XtleiKs6brueY7OJLbdnNyqmU15Dp7iThu6YpC2dcScsdnhI/NiGGxajf/M9+apcgkN3KtssHmHcnOYox4PhftGPiOQ1KfCMWfo+obV+f3uzrHzhallla8ARR9u2/gE35FmNmH18xpUNc+tuJvgwXaExduhs0hx6mmGBT1jzXbj4a+cJ34YHV+zE126Gx396BgkBuFfotOdpb808P/ZuXvJ3eLBXbix3+bbSFe782SpHdzl28uxRad1+uTyhnLAuUcue9Hxo09pZIgRoBJAI7fPMeUSfB/dRfmE0dhM+ac/awoQ2N4+lcilcYSNkK6oVK8aK6KPf0/nd8ht+7HdSMJ6WT/Hh8v/5wbfYQ4AwEegRLXWLSagegnUyziv91NQKethGkXCRkJOzXjflpwBMMzQmLW3nL6TTQm3Fli7TFtb3s/mb0wrvuzSrHHzCV3BGRme8nxai+GeYk3Djy2/8xSMN+nuf64P+Trl9Z678yH/7W+k5PUGbzpU/+u6fLx3GwkN6XydUMgZ4dcMapQFebY1QLC4H8mfNs3iYnka+4s57fIqLAQAAQABJREFUDWj8zMrJd+lpxkvc8/g3LLDyFtjkue/6B6YC8NOkzTCHNnuLcIe9yDK5XxyYY+gryj6XSR9xWOfgTik/8l//Ru4DYp/JPVZ1fuEvlpX+jbK09lLd+Rnc2uErtn6m00y36TZc04Rvuqehl/+KP3zGFkfwxC9YfE+Yn2mZOFmE7Fsw3XaYQ4PBRCHDHPZPIZcuPZHN3Sdlh/nDu3eOy2/4A7+FgsFZi8GN8ife+sMI0OXjac+3q9CbTzLERGcJCUFNO5ndhG26g68Zp+musDNpNeMLG+FECPoFxvRDf2CthMIKYyXy0aT1jrvPtx6fXN8sS8tPy87V1fIWcj2xgUKZ0PYz7EFILH92vCDT1kpNjcYe0SoNHNrQJ/TO0A4RQo/phufQa/r6qST0U5lIiyst+hkuD8KIR1u/wFXiGz/iyBP+hfdRGWlHeUVZiTN5dRZXRcDGiSd8tuLodYZsLAXvn3TK15FBlwHxhIGz+2iUx3TvAn7icXBDxfOpgdAmzsigQeqZ86PCAziLo/ked2zjRG7yl8fw8Bi859l+X3efHZ3upemqSJgH6w2mp8H74HBj3v4q8yNcYrKwtFcmq/Pl+dVS7t3bKi8x1+aN7FMVeh72D/tdxL/+F5lmWNPdhE+exk+45mO48mjCJdzj0qO6x4EyS4Po5s0O5bDjCp6DHvOeDWk9Vje7NCpP+Nu/w9ENhn1XGf7cp750OOjXoXtieabMTWf7JSaVMIRpGx7TzMS4Q6zv8ZNYM1Y7TCRMXGHGsarhwjZNcDXtxGvaIKppnjJS8RqnSZOFLeklzPTkyz0TO6vb5UnnXcaCd8oBs47ORfENrnJ0PCw3FikwNF+1BaYXMqLQOY52f8IJ5zbaKJOu93vQkgW3dpNGaXF1xvSs5PZUNNLlqk54V6lY8XMvizxpxJdHWOF8dItbhWO4+HT76C/P4b1pG+a7Br0I6WwX52zOw8lm2Vg9rrf1H9Eaz7F6ccgSYIuv2S0qZ1ZxOn7Kk++q7LHiM+ZyZTcrFa4xgICKL7zH1lO3tMRPunX7KA/51C8w2voFRrnFrR0jXEzCxSd/MeKVV+UVPMpHOI29+7KEnLBY3WQTFnNb/QXubWHvDpVn1N4p+z0mWq+elOflUemzgrPtpMk1V7v4eBrb6cdqWkx40C090qE9S6fhmvDSpDf5MoWg8YfWWZN4kVNTns10A2f8lKWUg9DqnLvfVnAnt3eYKI4580rFynYHSgrDWso5UNv7j8sbn14se537ZXxtXL59/LCwv5F9OZQhFi+8zOsDTQGiENC0m8zGXwKbbhmTwKaJEJtwhsdfd8JiG6Y7TxMmYbEN09S4pwUreBI/71PID//WzKZQzZPeEpf+HNCnY4WLHaEoUITMlrf68fJ5rq6jU4+A6T0we+BdmSMed8DCDC3Th+lNKqYtrck43XmPrGInzovY4pX2PJFHePZdY8ERxoozK4fKO3jYIADDB/Q2nvO5C1oW+Fxc4WPVLI+vscvTHlePTWlzrF7VzdL0zEZWdBUrvTN7xO6zUQpNE5r0m027CfeduMWbdHSf8dRIMzCz6SRPYBeeXRI1z+nZ0Eq3uGTcy8JH8O/NUPNrbT6hSqXbe84Qlw90Md+6yrmU1g58s21gwlcIydnZJM7epSumKYu4k1+BmbUDN+uf948Kj4ykI7Topwzc+etWevOTgSx8wwu8u2q5wHHxNgrF4wZu0Jtf5MAfV1S09pXXqKyurBU+p1MGDHPEpcKqykSCQlTcsUPALPGBT4WIPQuX99jB6/t5WZDw4I/djJ8MSFhsYXTn8T2wujURrpWtSw/kpceLnHy8wsG+lfIylWibwtJFcKtMOI24mg7RIWaWzTi4M2YPwoQdgcx6IDgE7/Bn4maxqU5u0mFavpte0kz6yiphs3GEOc8Eh/mRllUejJ+C0sSVVtow45pm8ii4GOOWq7TAY25dv7kNDL2sAftKFpka4FZCPu3ANnJ6JkPmjBioMeeIMuGCoBGTSrbmI9KebuY7LyenXDRpOo+vj/K7LL5hecQz65ZPC3n4VRbBpyzs+61y1gQILk9Wodgqw6NwyAJ1SR4fcJ0mkFw7UNrLZZky0x+clL39HT6rSqtt/l7ChD0iTdKNnSjSdJmZhT8P9jyY8GxY0218/XzGTLaP3OVMbjrMsZclPfZRFukUzSOPq/TqJlzXuMS+k8XhAhewv0QjxNLxwVo5+hZL60zA2tc2jSmn51CYBJtB+s2aFFb9RahJ3Cb8Re4agZ9ZhoMn4efFl5rZNGfjJb62sEnHitg7QAC9W2zK4QwLyuRz5OvbSIYFYQ400c0fnnAdgbsuqErM5teTgFwV5IE/u4H2k1ucNp4wMSt9wd1MU7dhKcjhI3TPws6+Cx/lY5h0NxVF3jO8SXzjCZe4wsWkgnkxth/mvj6mktwn725cLXcn6+X7aXGe8mXD/SM+6eD+GioY1avumqw9EuaLKI7whQxOa1L4ip20vhu2OIM3duQX23TCqzDxTxdf+SsDbY22nwVd8NAm/Dnx2GJ+YMSJYI9M2FuZZ0h3hz045ZeoNcwP0G0pr2I96vPC/pL1tdWyv8tQkL/QJe5m+r5rQs/0bfrbjNP0/zju4NBupht3yl1VnihWjbQYPvZb0/DscrhPvXqBSXn++fyLH+difo+u2PRsFrJYu13Kt+mKzPM1g8lG+TLHdH6JOfsBe1WqPEWc5zwmkkFNIuLWbhZS3zVhTDsmDOT9O7VrGiARryZpxa6ejR/h5EUj4z49DuL83B/802wj32bu5E558E/r5HQ5WWNXKX+rV1bKQZ+miBu30MW1R+IHvP2MZI8TlvZI6v0e4AwdNQF+mnSYVkz8Y8f/o+zIT3k772Il0e2j0tAOTu088mz6gTGdyKLNbH5vYbWc3B+V//vP/mxZOtkv9/qMi7/imRXkxGSjXWBbrhbd4doGuzwODtpvCiDhylKlcmqaNMTvu2UHt/h0h4/wGruZXspv8lw7cF5POM+ka0ce3YjnfBjc1UuVmR9b5pMnq8+G5e/81N8pczvf4E5gRoVvIhvmy0Z8wWD32VMaI5rmD4p5M+lKn3I3vZimO37/PG35tawoh8hCuVlexg7RUJD2O91HZYOB/qzD/JZKlqHs4uoGp4V73Pn6pPQf7ZT/9yf+bOlxleWj+TvlPvWFjzrw1cfTSf9kiHYemZt1Rwj6x90UQtOv6Ra+aQxr4qjpnAIENvHzbnD8mrh0nwdznp+wCrMZ1ub4/ZWjW2Vt28nPlcK8Y/3UxTFd3CG9ksFgv3YD3U5PEaP1sgU7XSpmfG1H2KG1tSt4tWd5DO3acQfe6JeZJrzupvKIktA/laXpDi3x8z2FStu7O7Yp53fmrpY5hnt36aGU45Xy5fKt8v/hv8lxg8EcrRMtGIxT6PjD31abBKsNt5V804hpuuP3Se1ZXHkPbxfJsenflE3oEI9zPmNXM5gLGXigjd6nh/7sadobs3Ve7ayXk7dZeaNNsaW+A79PXVPuLJcN74B1Mrqq1xcro0lfO7w0/T6u+yIcTf51N9+ThmeT5usckfNeNA7kcZ9uSd2M6DFq5PCU3eBDlMoh82YrizdK69G4bIwXyw5n1z7LncF/30+lcCubMq6b1kwohayZqO6LiD0jiEKpEa4Ja9w8Tf/A1nSIU2Eqhg8q5OnruVZwGU+3dLtsqfG94sVd8QIjk4HTT/jgcOw3Ol5EV7AH9oSTxhWLN61xx8cy+1MYT7ZosWp7habmpMpUmbD/pM1NW2ryNpfnOCmb9EJH0tBft3RoApfw2DXwgh/jaIT1sbXTL7wlmmEOd2Z7KYYnXfnXLewRWmG4vlb2djZK9/BKWdihoAyvsSf2AeNfts5vrJbjeXZDMqTrUdC69EDqfgTmTLpcbekN7pQxID/cYIQebdP5To04LsKTsNizadUW+LQMGJZhj252/7AVgMN8VAbzetQ6YtXKbr1Lo1waraJ5jlLp3ym32Ifi8YrO+F3i8SmRrYMy4vKoeqBOZOcY5Tw7ZyJYkxfpu8w0YS+Duygs/IonvaTUgS496/mRX0CQI+dP2FqA7V0Tzii5qbEsU87ppfWpE4ec31mdW6OMDMrbLFRsMteWrK+8ppBpa7RNOO9NZs5zS6z+zYJt3GahPY/Rius0TRKrILXYxQ+fwJxrn9JqXGML06Rdd94r8lP40Ca8M9nH7IIdso/Ae0uYe623j0/o/rcZS56wpb7HeRlbKnsmauoWR/PrqTBm/+v3c06RJ72kFVt/zXm2NFTeAnyJnfjKOWnFXScBURIjlMyH7nlhwlThmBc+FuyaX6RjIXYH5GifqwkO2CjHLsd9emOT3mLZfHBMDw0ZUNlolKhUKK/aFYZnWmdbNP4VR5W9v9J0Hi/n+V3C5qVB5+GqfsiRxKcPGM7UFzT6KQ5h/PPYQy2XyELjJVgjGgkV4rSX4jqn8NyfO+EUjkzSWRut8IH3vd2yj/8u1W6Vg5EtzqksoGyMeyqEM/6TVzWN00akSXvT3YQVftY0YWfDmu9NuGZeyK/G/I4ysQwI41wRzWJVGofmn/uGkMeEZ0AD4mXhPWG5t2V5fbU8e7DJThPKCj317uq1eoYLEbpdBf1DA2NLZiEzoeYkXi1spxWhSbTuJuEWaE1TKIZH4ya8Ap3z48w5WVZN8MY+B7x6JS0LjekIbzraPobnkbfQ0LRri8EFyu/1fqlMliZlt32r3sg+pIaM+OhQjyu1uKCeyomwqUCTCas5DHPqGRUK5ZhzCsxe1ElJkqzyk7hkXmhJmr7HNN1pOQxr+sctH5GlMOI37CwcP8Pz1DBkMSA/rUgLnAcyDZ+6SiES+BLvIvM+r3Kkb8z+lgd3d8uT1QeMgefKW79AOs7NP+ej63TjR66Tctmnp5danEtiWxPbrZlFomfTpZdSd02CNjTFrkmdliHTq7Sd0h638jGsCVtf+AkewxPfsPhXuKYsTuH0l1dxKwdllgdEVbEYVlcv5KbOg8EbDUWbfGaLGl17PmjPLVGb5e3y3vpXy+ECp2vxO/wqDRD8o3fZLcuWAq8scKR0ykPFe8rTRTQ36U+8yss5P7PlSZDILu5zop15iT+PZcB67qO7R49jPNhleMdZK7ZHOFe04iZNCki/x7yge+v7bDjiE6pL3DVwwC7YnVf5bO4Bl62zusnIjyMXiIXe6yE7qc+200cIzcIq0R/F7BnV34Ej1WzWflGUyZzYzXj6yZt86M6j3xFrw7/9J/8buiMPy+C9VvmrW3+y3HtnqRzOtxEOl+ey9NftXaWQOab0kxZTNUwxRIrclcJlMhMPJ9hEX2CahSEg59GZMO2Eayd+Mzxuq6BKRLt+B5lKMzotPL7na3vBhxDAVzVJlQfVpzy9/2753k+vlR/6d38LtWOn7B1eK3/mW18vnWdMPrZX68E+Gh24R4nQY+t42hHZaaZtXnV+Rz/Sl3J2RusLYJyqoKobz6D1sxwlzHwWp08dDhOgPfUzH81bN1+505mb1YAfcdHPsMNRB67eO1rdLb/jD/4nfPqQnupXnpYfe/Nvlw2WidmKSE+WIS4V8TJJpNw1+YubiB/bfBz5BPlFcTxT5tBOZTKwvLC1vkPj6eqNX/hj0Fz32Dx/8pgvNuyXz3A7/a/8/b+TpR406eNB+el7/yOHIDmKMM+XN711LgnKYJiMnbB/le3zBNX00513C5Ymfke9A64Q+CdsTHpQtl99qfwi52921/dKiwNuA2bsXW9v0RvpuFWS8aVKxRrk6sbIS2SwKZnT0nuBkKIMQoP2efJthjfdzV7JbBJWAnlScZhOHludmq49KNLTnfyt9imsN2j1b/XLt5fulZUrD/jk4z2+ufup8k0a29XFp2Vlnj0GtE6e3zjpLFHglmjR6I2wTXiJW6WVA6DYqbqzFH6yd/mPDD4ZhvNjNXHWNCDbLePS78R6j0lHV+qG3Cp+jOxG7GJ8PHpYbt1gSHOFszmfHZZ7KJfNg1/gbthW2ZrbKnNdGxu3D1xszstvoZv0XBz7l8MlXuzL4s6GpRzo7/rNqH7SgkJtI8GSuLKwZ2LRVs26dLx4lQu2OKPzfrlX7m48YMfrtzgYula+DtiYXeNtJnGH3A1TP1xu4auFElu3RGrHf5agj/MeQc4yPvv+cXCeBxt82klzFk7/wBnmZw72u5y5WOb6xFW6rJ412ECuTC4eDtguzYHzZbqCYATnVO/W+C5nUNi8kQqUH8vM0nBRZNO5jJfECz/iTZ6lh9ei1R3Sc1GZGObtWpaTGL9ouLdEy1Qel8/M77Fdvl9ucLwcnVGO6cMesYXaTVwOiv3wWMtdrzyoKlYBbOlRqg6zAfmkJjyGjyaehDX9Pq7brfSaWibMLP6VjzJxAp1B8rTnSe/SD6552M3PgzpH5q7nHp882WObZ//RW8yd3GFJmP03qFAWNMr8S5yq5uIgNspeaGq6p6FNfuI+j+8msoTHTtjse/zPs4UNfG1kToHwZQWHcoxMqPV1A55HBKa9W4H8VHCP+0sGHPZ7yk7Y++XXsHevtc5H3VeW+AoknRTaZzroHLNgYNxM6CL3eQR+XL9mJQpjHxfHefCzNDdhDDPd5pNw/byTZJ1hTJd7S7xZbEAF8rxCjxZ7jvM0PWauh8dIi4laeyAWsY6KREMNQhcjyUbtnIZ86De9oXg2eQ99hoWP2PpJYzPz9WsaU27irzyhNIhYwVQmrjaEfymvBei0cNkOHfLtoJUVPlvA1+ranBg+fsqcAcNkevpl5dp12OOEtDJUYdD1HdXur11h/BCLX74T63diZuXwneCajasS1SiDSiWisbdWZaIHG9e8JEoexjDkSWpvW1eRtIEb7PAhrtdeYV6Eiepd5hJYxWC0V78r9Ghvq1xtvSz6fyGmWTY+SYJn5QC+NFotDmjZOCxQFyhs7HBGDvR2p8WciWf20nTWu+XqlVtl2RPyh98uh3yfevwS5YWsp61F+YCD4f7ZqWEnZdKllug6Fv+IwvwiDNVMPCV+Fr5ZiGbDPu67uGLijvDiP2vPD/jy3TO2B5+wIW1vrrxM5eCGPu6XZm2d6/xPKDndLpc68+fKTce5E1ouu4FtzuzgS6FTp19sQosQ57mbfsEi3THJk7w3baGibKJU0gMRry1vfT/FVydg8Zdew+1ZDTiDsTxeL733HlHLrpXl/kr5DHXrPktbe/RqaHsoWF5Z6YFC4jGTr/4cMixQyUyxXdI0Nwm+xN2Uw5S2y6R6CaILgqo8ZADag7mexWES2nM5bNeqy8Mujnr2yrtQe3S7XuqgLL75AKxMyvJdhyscuRiwTOqnM1cX6cbuXd4ta/Ilac33pvsCsqv3LFzetZtl5SIcwiVO6kR9h+9OHaIhFFemyM8+y8OWnC6taodVvJWl5bLLLumn7IS9do05tAdzfObi9TK4R31hFfkZ8hixZGx9OOuZJMFZ+yICP46/DIg3tnErMx8HyQvCJp2AW8mSViqc7z5LR2vlL//u/7Nc7++XvYWrpf2LdWK+dK+x+5Ev/O2jsUe0UO7f6aBEDHWvxbQQus+ElSKGRM4dvIhp8h/40GRYTNMd2hM2a9fVKiq9eIyn8nCp2MbBZWLd5xlhuxSAu6ufLe13D8r/8xd+rmw82ytbk8+U8g0m8enVHF2BcZZIO0higZl8a+KAoc2Ez1wcdV0yd2mU5dQX5P88OuSvyW8T5rKwJtxlbnGLJ3Ks7tMI7vLs0aDQ02eCkeFel0n19j780fWA73nOZi1urpW//TM/U1Z2OC27fL3MvenweFD20COLh4wHUUYfZZK2cE33R8Vrws/Gm31/EVzCKA+f2lmgR9Zh4tnNmEgCRWLPjFVdVqjmkNkceW3W3lx6ifmkXll+tFn+2v/2N1Com2W7t166/xgd5A7YxT1207rUfIrcFi5u7RTOFyXyReE+qRBeFP8snOnlkS+NvMlv72SuXN+5Xa495yZ2+vGvElYnFA+Yq+ej5fto5gkCtoWnGCBw3fjVHooVjSbcI8bn11eT+lBFkQ5piG247pjQ53vcXl9wkUmyKo3wVHsqp3kq7uRj0g1u3+sE8xG7gI9vlcN3kQUb1w5Plsob3O75gN7ZNp+7b9NytcdHsMkRA/q+npy1VfaOUOVwGe8X0f0v0l8+w3tdzWkk3mb+xz0z9q/cc+ROTh/hXfLucdfEev9q6X+T+ZGj1TJeWuRC6W45ogZ1uCh8o7Ve9riC4bKRbvI3tsk33ab1oqYZ70XjBM64qeP6TWVC2k54VWUiXZRuFKV/DvG4EpddrWzq22e1h7ME63xbaf/+QnmZfcADzrVZXx65M9jPnyDFOgHrJJWayguNLXzuN1njOj9vVvc9JszEjr/2rFCECQPawVMLO/C+N/2b8ePWlq7g0o5pwugn3oQ3bd3CasuXbiuovF7lfooddgD2uCf25rWNWi88z7UI7CJLf8vsraifijw54lDXRnm+9YxuH7d2s+qjRnfOoO5+Pa1RphE+TSc0hubz7IzpDQvdwaGfPYyLjMWwpoNtDyU8ptLo56Rr6GhBn38Jd89Ipz9f7izfLW/tcE0lN7HfXrvO5VlfhX/G0TTZ3jc8z0rOmMnZ4/E+m5ncFTxd5TlhYs6dsbbsmqSjW1p8mn76z5pKP7L6KBM8kVHw1wrSiFz9eRe+4447jH7KVL79I/CULnpzzBGMGMYNWKFyk1bxYiAnmyWJjVtzzBkttVfKOhch7TL0WyWvr/Cwg4cPdFGGOd8y8SoCcNfW3nRP52nybljo0A4v2pXeU/oMm60fiWtY0zRx6B88s+4Mc0NT8FX5cAKcrne936p+M4uGctrLZsWO4XsPOXjkZG2RFSuuG13Y2S4rLt/sPSuvXn0FtfqNwl628i6HQrnBYjpnkvkSE1LoCiF+YW6WkRClfxhrwryouynQ2TjNNGbDXvRdHAqyKUzTVLHscrDt/eG32eW4z6a1ndorcRcsRavscXfD2t3XyzYH/TjnVy9NGlO4BmO6whQmr7yzx2Jrbfn8KPPd4OWj0jgv3PxM/qQyRZlIE/Wo7PJVvwG7gDcHj8tDPotq78wVrTm+ODVERgMKVZ9Kd4zcDOuiRTucY6l7TpDCv8qm8gif5xkvjuZ6fso8vU3ycXqfCWqUYZzf3R2jSXfLTjlYYEPfkOOxqwtsWBtwTdLzeifUmLNbbZQPWKqJnGft89J+Ub/z6l8z7keVq2bD1Iyn2/tMvBDdttAVLHtnzK/TC2Vlhjkxh8EnB/26xf6Y7+fUq0yvsAKILLZZtHgODm8mvHVbZXYM/KmgI/RZu0mAQgp83BFcE0534Gb9z3sPjqTdjJ+w8+K9iF9whh7t2kpRyfbnnpfjL2+VreOd8s1Njt1zkTTXW5Q15twOT7bL7cUvl/1nx2WOq/x67Hb0MxcjP4XAbL8bmyhJtE+0YilNFxCUtJt8XQD6XfeeVSbu+kzVosmAn+PyaPKwjH+Qbwbx/aBffHa/DLYoXEwFeIsWm+xpua6hSNjMRxekfgKBctCj8NQahaJ2netfF1PL7SmxzvcMuaOmyoge2BynhHt+yQ6eBixTHPf2yqPF++X4i3vll96+V++MfcLSqB2Y1z7DUK+FgulcpyKycRGTstq0m3l/muy/UOuy9D3U6LmkEQqlVU/Bww5zH15fOcd8UZcyv0gPfn6ZfTejPT7M9rCUz/PVhtXn5d0BV33e4XwOvZLbN0vZ2nr3g30mab3tlShcu8j6RTAhqmbGqQJKWFM6wgU2djN81h3N24RtumfhP+67NMpP+DK+wzqHOmNugPl1/+WvLis3dsqvY8L1v+hdR5lcKe89WqHA8GGqp5t8mJrb3Wmp7O56uXSXA2F+1LpWSAQ/dtZb1X6BafJykfuCqN8V74vS1H+MFuzO0wO53S3/5n/+I6W3+rD8CEfqfwfDmAHPcPCFss/Hl/rOH3nfKbL0Q+6qD9tjdwiP2eCFVv2u0PpJkDT5S/woS+24Datl99Rnyj/K1Ov16F112ZjYg8/5Mat3KJI+u19P6Jn1b3KJ8u/5taU3/+XCjq3yW/aPy1Z/rWw9ZOZxclBOButndSRpaGuadWXq8/F/LbuXmfPqYBM+9avpd+amMUQCtYcytq4z5Jler+GeGyeWO3x0i54pY//h/FFZvtMrP/j5f4eFLVZAmZz/TYd8nnbjU1wU9UZ58v7ND3/qQsJM3CfuZFZTMLPuEBfYvL+ILa5/nkb8TXqlMWn2OfG78kWENvekPN18jw1KL1M5XioLrU+Vx1wazPcA2aiDPOgOTu/IRJnYqa3LwcxRYDsP8SKmKZum+0Xificw4V8cTUlXGaAUD06e84H2Z2X0KXhcptXh+zDzywyE+a5uZ5+K0nHzDcoTNv0ok7uBOcWBDJHDvzwd8rFFkjxPxGkewNRpt9IVDT+s1uE0uN39UfuAnslROeALBu27dNH27pXR7pvlGXMH6ze+r6zfulN+8R8/Y9Po9aD8V9K+tKyZp/S261I/w5z6uVTmA1UoZHBtNLtrHHqkwTlhxXNrQC/tlT3Oez0pRyscNeEbS7vb32JP1rWyu/dwOsxR+5noeY+ZEIJm3ZdJL7gugzEsuGfhm2l9FI7LwsWTXpZw9lBMyzmTQ7Z5bm7fL6vrbBHmbEFv6bD0x3xsafU211UMyyIXKPeP+UoKsnWCauLGNV7cb+IW8wkTmH7mwpbtIhP+Et58b7oT/t225d9HE2Viuvo5cdph/qPNhiw/7TBq75UjlgY9L9xeOHKxsGwOd2tBGrN5r0Ml6/b5vo+HJzmSP6SLbKEL3u827S+C7zwZRr1rx30mA+g9i0O2+RkTv1ToHEn9MiHcUL94HOMxpGXfRZ9Js0UOg3aoVO35g7I7eZfVvmXktsruT+DUtKfmDLdpN/wT/nHtS3sWL5CG5f0i00JxzDEv4tmcPj1PhdVFFn52193R3rw24kSjm9P8dCof/2DFHKFxx+WwzeIMcplbZIsF82c9Nj9+5D6TFMYIxve4Z4m8LGwWNu+XrVYE5juxpTWPeOJWgfp50OuMedujLb4Zw43kdOueH+5wyG+zPDvcLMeHfN1u+Upd0bFwOddaD0KhRHqDZbr5TNLRcnOlzAuR2JRb0/1Ckb8DINNKZWqmO22J2FPjLte6MoGi7KpCGEtzKY7fnh1QULycocddsBQWrjJEOfN3gKLdx16kILo6/q+DqeXzTL3Y06Jbz/6Juu0Ztz2SCZOubtzqo0icaG6xyWj0nArUY0KN8zhrTMA/fs6J8eNNSgtDPBuZU5yR7az9L1M2oeU8Grrc57PI3Ih3rXEpfy3H7REn4eF7wPDPO6AmKAx75gtzHIJEFh3mUQq38S2esHuarxl25o7LCROyVZko4AxrdM8+IaJmBIVp1uivaRLddM/Cz75HcwbPbPhHaeZZ+Nl3aVFh2RNRgfjYU3HOZJELgtt8TMhTw2VumSPXvfKyKzZcMF2u3Sxb8+ucbWFuAS3dQpnYinuhjPeb+DGu6f6Cj98ufxz5zPLTfDc3TD25EluYuE3rLO9w27uaRppWgSErGYtMIK7uu+R9laVvKsgBTdExlYyWt9VjboklxAV6Yi2GOy2XqqlsQ+TocuoiU9D/sow8Nvlv0jHLv2EV9pR93723A2ZQmoFm/gBlMqEpNsRhz1J7vSzwCYwyYObVo/h80uH1Ohl9jR7LCvtMwHM63PuQrMV/Knucn9hYXi8zF9WbxLm8/njbnnNn0w6C2+o7FGr6aCha5cUPPZYhve9elwaHzx/O0cCWEZdpcXXFml+sG3Db4DHL53Mr06VhmbbCNSdhvWdUQsKMMDFNd/wC53smbmU0ezuaTDXj+zUwTQq8Yc3nImHN+jdxVoSnP8KpPKRPukxPBab/Wg+lsXMLlfw9LGVQga5eKx3mTryjYY7rCo/p0o9Z+ptDKw+OnrMyyDH8Pv0QMuC4R2+Eqwrcdvz/M/emQZYl133feftaVa/Wrqree3p6Znr24YAYrAQJEiIsWiJN0aQVskmLIduKsOwwwxF2OMJb+IP0wYpQOPzBwdAHM0IibQKiAMGkCUIgQQLEPjOYDTPT03t3VXWt71W9evvm3z9fn57sx+6eEThU+Ha/ynvz5s08efLkyZMnT5701Ryvo2BRefqpbH8WSJ5G7xSvZ4X6+eV1U+jM1t9Nhvpq3EnezSMsASs/XshhkvJROQpxrRfsLeT/U4vcKTT1hxhQJNl+j2s1zpGBiciJNiOPDohJpivIJVk7kgRXGLI1cI+jfSu91oGqD4MlvfZ1RJfK0e9Bl9dZ9KHDyASf7lVftZMu0aTay9PGod6rDMV5SY5TXoT8lKec+yhe+Sq8Axfo4QkDNCnQqTKZaKlbHtsl5ue1ksE5sWWebZffzDH8u5BIm1HmVzkEUrunyyjmCxxuP8a9wxNL26qLYNTlocPg6UMdbuPL0zgO9Cy479SNfPSdt6fqpTT+ncd7nMcHACb+dJne7uNKQ+cf6djbHDvBGSWhBa1Soh9E6uyw2qVp/q2Dup2bYpfj3nVyoc9iMW41+sBgBs+ED0MvnJujwh0AB9KfVbbu/YoB8/u4Mh6nfPzn3/5VhfeCz+FQmYIvvvTO32v563f+839sZ0BWD7zMcR5K64AtkA+tWO4Xz2NnggGXxH3ITYc8S/wD1SglYQCs6sgXhgybJi/V/f1eMTz6xmFTHrqP63evPMP3+u727640RCYhiNAWQK5/utSi452xCnF0RGd59UvfsszNS7YmfSsJUJ3YZjFvL/yPn0QKYdVGQxVLiLJNSBfYNQrxyZeHTNLHOSrnv3h5x3KceOj18k7jdKRnPzRL5zLr4Hm//Fs9O9703V3xvBNE4T2MosOxFHqvfNMZjLCgZ3VMwaU0srZKislgOp7QJkY5O9LUjU6Vo455prOf/6dftPm1d2yB5OpYW/wOVs/aT/z6byDh4izotnGcw6XQL4czlHU7UvcO82R8/Kzkk8+er0LloffOaPxZ7xT/oG+VJrBTVuekTNc+JGTPMS9QyCAhSSUBbiqVWUtJx7ixZV/+/S9ZFpf0FfiJfCft4c8k+/jTNvzsr8J8AEg/IdnvPVRx7wXQvYB+r2+U7wd9vVeZDqcQ71cWK9azmeO2eoA7ukPisfZL4nWsvjGyOUT+WhW/nzmWiYNthjT8+pYOzsisw7uCmBz27IxzVBnC3f+fLm/LGC6/165pHLrYzHDB9t7u2Mp+2uYR5fN04gSdKldgpyguHZMopRsoH/tYwXYw1GKNCyYt0sNDn3i1LN/ucwnfXl4c6l740ntJwc70Fa+TDXXdjybvVZTSenoPlU5Sj7eLx9951nZ7wS4NI1M3JjgMzJJTtLIDM8EiKyvDGmbBFbYaLIAuve/CaA7X6Hw4Ik/NM7Bk4TJcyjcOw8PteH/ncR4q3n+Km0zn9Orxwo//4vT+Pg51r7T3u7LMz/K3T6zUgr9SasqGWRVtjdkDzLe+j5MwcDRsJm2puWyHOA9bxg5pnimwekMp17FtVv6Oza6+y0ziAgWEAzVZGaXzd7pXA+nyOA9D5L+FP06EMQyT93pWPQSbh4JbxxzktlFC7WE6r2VBDtQqMFL1mR8vZo5ZFRuCLtJIH1GXPcTKBUYC4RGX0p4MCI4Ypg0q4e4rbvC739z95OlivMUEENfv7i/HT3Hae733uDh/j9NKRoF9Jqu5o3apVrC57hGrNJAMOG+42d+zXczl5yTuI9p38hzijX6lL9pAcTdEp6KlYm3NB6ue5V8I7wWfw6JQ0xinIemxlF7THZ8ei9HE6eMClFbf6qfppPKSVOPSjtKKmSiPdrsdQqfn8C2MYdAT7JzrR5tK6pK3W4n5WXZTF9i7NTeYxuPrAnt0gGlrlwFlZLMzuGZgOXS+X7ZNxLgR1sF+Oax61r3K0W/y8jil8Z9/E6eN8/NvPIzTKc7jPYy/jdP6vYTNDHXVP52d3SdC+uiwNM6etASix/w8U38YTofjcpcTs8xsZux0egkmW7ba4R7Tv67tbty0o7y/azVHhXjF3gsQB8hDr4A//5t+79/9qKGX56HnI7gUp58IyYlJ79NgbpaNXHMo2WZyJRDV5mhMlr0wUkvs5W3lxElcEmxbCz8OHRSwUs4lGcHSjGTanh18wwYF5HhePIkDh+FBoTpCDHOch+7fi5k8KG9/F9fZ4xRmUaoWOijPmj3LNdgV2mZ5vA4zYWVrDp+fiewsMsiUlemo22UOnGK6k8QrUBFdQTg2FS46wh5joP0G97lUttfJ2yEOt7e379RRDEGMQOmdQYg5xOljXHmRSq/vglIdn7fKR5fXW+/1nXB5Z3rD+wTMcIRFlhSQfVaxgjEiU5YcHSwn1wxtmBQrXbl9cMVGt+Mzq2Fqt85UuNdjUGFfUxF9g+vFQqH8iWF02P2dh4JJv7h9J7/ztAqVNg49rfAU19PzVdpJ2goZRH9U7y5TOjnAaiOlBYYqOypxGVazMgyczd0DW8hUbBo8lPFKv49j7V6tatlMluNB0/jIRTqZytjKwuJYMonyv4OIGFh/73F69vsYGZ5OldN7/VShv8rLEebIdri8TH9WKLj087RdjJJupC9yEBW2A8VZa7FqkS0OrLhasvU+ticYJPXDeSosFzJmaf9GRkSALJiB2MgqbBwG/Xcuzztu1Dsvf4Sb98Kf1++9sp5MJ/hkAXvQ50ju0bb1z6FnPDyw0S7LwFSsyVLw5mAXHy/7HAUyjU2NmB5MFjzS1SE2Qu5RWd6hhXvB4PiYfCd49FteXg5SSL1et/199kchRUia0EZMMQhNeYQD5eNhTF+iPy9Dob5R5/a21mZVpdG3YjZiTmIoknxG6LsSnAmkd4JFnUtySrCvQBrtpQ+ZxuEp6ljXNtbXrMNUT2mqLBHnl9jwllpngecEZY0ZntcxxrVgcvg8Po7Tvcf79x76d/7soaf3ME4X5633nsa/jcPgKZAKS+0VfjSrHETxVy0McYMbfMRKN9YGRzuJLeusNm0LfWEuu2kNVnnaeGHoTffs0o0LY2YiZHpDeRgDGAMwee/pPBTwykON+W/juh+yPD6GS3EeL9hq0zv20S98FqS9bcv4rxjBIOR5ygqP2ovb69bFf0ULT1s95sgdCE/iYBqpRbYmeVZxBigMZGqsU+9+1CvuGDFsys9h/1HznszD81e++nWzWLmeGFqtVLNjP/aIHZ9m+VMjE6M05zzYQ4PT1rx1lVNRT1i+PoOMAgY4KyaNgVIL+4JwoYeWFeX9LnXu+PI6OQw+zalWq7a+vm47nBwnZlIulwNjkBLWmYvulV55ikF4fRTG98KpGIYYk5iGMxZPo7JFo4ZeKJ2kHrTfkJF5KLpFqa7jLg9xFp1Ib9rsfN0+8g+ftwQ7qzlPlm/U41jBwRfOlcMbttuYoiyW/25fXoYede9Sku7jd55eoeMkjvP7yXeeT5yXx+kbj/c4f/b84lB8A+8BfAMMLAlroWrsVU8DhVbVwHEBxptiHw6MtLvUt2fPf5L+oemNVkJRjiPd2u6s3WC5/C+s5ngjeyVc8oiBiu/VsJ7WK6P3ivOOElfgg75XGV6u5z0Jn79XvL9T2GLvRadwwXKzV6zJPFALOSVsCjKFBbt+I2lHlh62YQMFHfsU5LsDNgmy6Whs8iMnWkCKR3qTOuCPeDmOYtg8K+HQ4fW4yTDG/eQ7PavTKA/Hk+L0jeJ16FJ9hDQwumGVh5p2q7QBEdWxrUBfgO1AGh8erUPqiN4kyzKpRP8UI3mWEUtWoWHXKYpYMdn7XS45qEyH1cvXN4JN0oJ+Shu7vRDMW1tbNoVtx8ICxoXApXQxg1KaOG/lqTgxE/2Up0JJOApjfCapRw7lqf6laVO5H5Q+SOIJ6vZwesFGas2mT2K4l76BXQ1TMi2jYuio5fCNtzbw5fEoKx1jhul5e+j182cPPd7h9ng9x/dKF1/+TnG618+/8XceH4dxHvE9MiWMc0wPQ+0eRuYcexNUO3OPJN4DRx02de4z1b+ZrNrRE3VskTbtsFy3w+mWrTZm8O+5YLX12lhnIoTrpytwbMIHAaMK+KWGi9P6vafxUPG6lF6XP6tcpYl/IcHtP/F7h015eLni/CIuPbuyTnHKT8SjOBGgp1PoMAiUIUrXIQdRH2AuPlVatkIL8RfP0ksQzAAfjnPYVxy0tQwME8GAq4vhltwZjm6XiSGDxLsArddJocqPiV6wK97TeF0c73Gdda/v38/ldVFaz9tDxTme4rJ1P46n7RiYMygiyygSp8OqFXoh6qj5WweDvS6Wn+3sImcPLzC/TrMkmMeAjXkzrgnSGGcMOBJiiDQneL2MOBQO9Kz6Ko3qK2lBz5IyCug4tPwriUTtpamI3rlvHU19ZmZmQlpJJspLeR4esqp0W2Gr9PopXj9nOMpfEo7KFB2IUeknxqI4daaDsBzF4IC0gWE4uiCM99AN6RiQTLpG/BrMFrPxPMvMbHpLDPM2Cx2MMN6qDKYwrYeRUKbj2tvTYVGd/BLsujzUvXDiuPN3eu9pPD+l8fdqO29Xj/dQ8fElevfL8/RQitYmK3R9cCcTEy3zF2CmWSllVS90JGnw0WDbSWqatmOHeY+d1B3OEKpZlTO5k7ZL9ols3dZubt6tgHUgHSAV6kA6QO8nfNA3eueVUV5CuuLu9038Lv4uTq/4+N37gVFpJGkUZhDt07dwlIu4BptOBhdi2FHgYaoDQmVvgbQXxl557hY9SOPfQfs9EgGTS8hLL+5xxbiMYYzv7/HZBxYV40n3Xm64h4lkcSRdhmFkma9lUCh2ZOFL3VKcpZsuw0iZ3h1qdEKH0qfjDbo6KwjbDTonE2oICbxxeb6TgHt8HMb3Dp/ihKvQyQnFcHSveDEKHyCcRuNy9N4HDOWnNF6GGI6e48FETCbkjyas0UG7KkogjZaD03hXG58bo/krdilYfjKjhZE0bJHBJsURf/t4pC+yuziDIjohfN1ue4V+rzK9boLV42O4J+/j7/3dZB6ej8c7Xjz9ZCg4dPl3d7/nnYzymLqpHmIgWslKwlBkZ4L5M4NGC0kMqRQJLo8kP2ClT1JMGkYi47VBVkvl4LtMGzkHde6uUIA6sB7eDcS9nwSw0jvgfu/PHuprf6fy4ktp4p/e+7PSxXlMvnNY4zRx3pP3MoeXdjqT41gLpjI5GaFpw1Ob/QksjTXbjH55tppzDx8Zwwxb0ZEPlmREBtYkjRGXF9/H8Cref4p3WCdh+qCf43JUfvzMA9IHls8cCZpgmTOTXMFvBQ6AYBSdNiNRv83WcwgFKSSfwvKVzpbPNkjHngxEmhSHL8k/yr0ux4PoS5fK9bL1Tm2njqB7EbwzEYfR0+pbpROz0DfOZLyTKJ3euXJVz3rn731k17diIn6pnNGIjWtpFMy0raQxNDGBqUiHMkDxrjNjtE5VYH9WvY6lcJPVLAaWAWdTp0vH2MMFl9HKHxkoP10Ot4eK83eT9/d6Vlx8ed5jeN9lVoqP38XfTN7fr/wMq3H5noZGxlEM9DSdT2vzKkximKRt6Qo5DBfrrS1r1nUk6CqnOZzE/ggFeZ0l4Vad9yVww1QS0eaupWEVGjeE7tWQD7omK+nP/k1cEY/zUMjwRlecfxuHIpTJd45I/1556Bs9+zX57PFxmGPD0oyWMTBeK3JvTTT02BKgpuYAqgp2FYw8jFQjRsgk2qoklKQRTKs6fa3LozNBZRcaQ/mqTL/ie4/zMIbT4/6qQsER/+4qB+Yg/x3TmM5nL4Hng3kOpsZMmqlbsOxNn7LqAGYKJ01hVi3sJtCVyBpYG74ySDVSTvvldb5fqHQOi+6FB3V2/+mdmI9oTh1fDEBToJiZxPTpeXh60YryUH4Klb+mNwod58pTv3HZYgb0GOoDJACHTUuwJyI9/9L9PId046fj+p6tpM+CF8TUIRv+Wigfd9jPxFLGiI7Vv013ylN5O1wKBYdf97p/rziHW+nitIrXL46bLM/L9TBOO74H34CnDY8ggbxoaoU8yXZqgKTSarHhDz/BKbYNVOgjuQ22XLSEs4TNc56QzcCC21N2onJqfNawuL1+QoQK0TxPjaqGc+Q4QJOh0k/+PI3iY2R4fIwEv79fHv7Ng0JnSPcq60HfzTRm7Q9/+XMokWps2EpbvsTKAYqmweojVvq5v2aV48foLNSvA6GxjJrgtKEExmrS/PfAD1hjb4aWS+9PNA5TDEccp3r/VV7OaL0cDwVDClPHaczFU2827OK/etEWaldZnkVDj4TWZtlvbWbOfvx/+k3sDxjRoTodlTFAj4KlDXtzsJJFikE6DszV6+D5+7NoyeNUpjMOvde94PM4ZwL+rYcuPet7z2vynRiKaNXzUDrHs9+HOtNuYjqi9xR6kkQfZarsZRDtUQWjVIYhoGxP4xu41Jm3oxyT+pX/9fNWvPVDzl0WDbDDNsUmv8o5++iv/n3rryCxMAWYLHcSzvg5vlc9Jp+9bpOh11+h/1zyi/OJ8xNc8bv4fgAjbaEL1AqOztAWHaexnxI36fFOB7unWAZfymNDwrQ/efmyffe3/9Aqa5eMma71WRa+DmnsrOAj9zORBawawhtNDePMJEDygD8CfPL3gOR3XgkZujy88+J2nMd73pNpHWEKRZBKrzoodKXXezHCAvuuH+k8bKf38fSJeNdl5aLd32RflzZ6zTBGIa3IwlOjJZjGbzAIh/gJtX9FzohH2oIO0v1yuPQc3/t7r5c//1WHgsF/KusumJihyKNWEV3J4BLK5sMsRnxlK6G07LIBbAotfbGFERhm1Zpaj1guhDXgwpHpBgwF5PCkac5fnOp4mTEdqe5evuJFZ7oUJ6JXu+mndOrsfq9n/1ah2lU/fad87tfOXpbnr2/jK4lon8bCVcxESldalrZl0yP1C8fCslJV7k1Z4WrRHm2dtVn0ByOUzQcYOF5gm0EO6SwhEwGmQ4Lf6dDLcPj8WaHD5PeTz3HayTSOB8V7XfS95zF5798r9MvT6nmARDJgOkPtyU9+bxWraTsGmbS0ztHpsGmtMGJJHv1aCZeWnc2hzWGpNtVjWowtUCG5a9O5VVsqPRooIgDmjaTG8Z8aSQh60OWVitM4wPd6F6fTvSPAQ3/v36qRdO/PCj2tw+bl+beeb/x8r3uJeN09DLVq6ARwQZBjoV16py5z6U6+x/7YA0uxi7aNNFIEDp3pW9AoRiNoptkSEwkNMM49hsPv41D3/uz1uRdcH2RcXI7Kjp+HmEvvc3p9L49yFeOkHPsxtJCDL0obyF0fo1YZIppB+M2yVNimri15c8dgrcnqhk5/k4HbWCvybkfxOqoeKs/L9HuFMUNQO3pndBj9G89Dob9zBqJn3Sut5+FpFPrl7zxPlRXSoRTI4/eVEQGJBKvWFO2O5SfAYd2cRbFIHoMcFqBM/7YYinf2ra9Du5eRgubYcpDC0xrKa89Xod8r/xgGh99h8nceevxk6DQ+mbfnp/eeh0L/+Xvhxy9P5+/QrFJ1qRE0uUGJDVVnaHsdSKajc6UzKZbAQ7NqNa2CcToBmGb3PBbQXfC2l7YTtoiCumxTe+wa1jKZxD7NLR3JGhUcSB89HKDJ0JEXx8dxcQXiNH7vZcZIcCamfPz7SWTG6eM0nq/H+fO9Qlk6ZubQ9g/22Y5fDQcQtfFS38Zoa1SgYyHCtQdta8kJDL1MS6gJpBYZN2m3Tg+pJBN8oN6de1y2w+mhp9RzXCeP/6DDuC3ivD1+lNNojfujTA1V0SFb8nF4BLGwQccyszipZMojhVxWohgE10P5PJSPCyS1NEOZHCPJR8qd/KJOrPJEV94h9Kx7py21s4jdn/Vez6I56UyUp5ZydcX4cwaieOWhy/MND/xxeJx+9V6X4r1cvdPx9NKXSMRPylCLlpV54oC27mm0gQYO8WC/hZfts8c5+gQvY1fbG1bP4S9YjIW+mFKnvN2Rlb9+Ks9hCAVHf5T2/V4xncT5eR5ef39W6L/7leFpwQZJ6GP6cQtbgrZhtJI/mdbTUlgAM02izUXmOlt6b1TDhP7QyhizldkEK2d7ciiVKnCin87HkVGQN5AAlngpIFWo7v3yynioeDEDXe8CGB7vPPv38TfjFOO/jgw9ORIUOoHpvX8blxHHCXZdcVmKU3oRjELPR/Aqb8XvDxu2VtqHiHYYZVn+hN6ItswCaCUsFaaxg2SNnYepEueksCmsi86ApQNrSBGp1QHm0ffyNKYy4/J1r8tDh9+JPLzkj+Ljn5i9Lk8fHm7/UZzX0/EV56/3elbd9V51V5zjpKclPXrDbgsfsEsN20Sf1q7Q9jAW7V1bK9askuO4A2STZK/FZjlp9MEDZvUZVgFS6I5kOUmtQjkqa/KnshzGoKe43VZiMpub2CbwXoZpe3t7Qdmq7zW4ybxeDEXvdYlGndb0rexTtHlPcWp3x4/wpfL0nduTKL3SqnzHh9JrxaKJTmCEBFKgXbNayUAiCesbaepZxIQ83bCrlW0bPrQLA8UoB3Bq4GYHN58tpJgmR0CMsoUAg/KWta5CweT1DhWI/jisipqkf8Xpe7+8/nG8v1c+cV7+TRw6ffk3d+VDTdO435QFt3RFMlBjXAh7znrQ/FCDBDuni/kpa9Leh5LcVrGYRkd/rdZmzxYreqjY6kcYEJbqlm6wfq4KSWuuyus+bvQYML8XYF6J+yHD3yvPB11xJe+XLi7v/aSP8xEy74V0xTUZWT7xD/82rXcZeU6jDIwR50fWWLb1ypRdadK72ODXx8aiC6FpWbCDuE8UIxfjFx1pTOpxiXffx518EnbHkX8x+ax4x9/kt/6N4v1d/L3Hxen83kPxgQaSV/mhOXvqv/n3cOiCzYWkEkYblEf2aPKcXZZNiZRzfdoRQpPeZICPkCErHzozJhxCRXxctufvoWBxPChOafVTR5HkoffqhDJO073qLCahd7J81Tu/9J0zFdGe40dxTosK9VNadWq9U/kOg8rQ+wGKoAGGREOdLT1EEqNNs1jCSmeiGU6LwWYnc2B/55/8p4gnr7Lat6YGsUeLS9DKSXv7Ksp67a69XR/BqHw9/1AGZX8Ql/K81+XxCv2ndB4v2OJL8R4XVuW0oADJj5A+RtQfYYQH2lv2JhBIHwZcbR/YFO2gs6I++1+rv1zDOz2Wr5zRbaz2WGPeLixM9AUHQIV7gXFcDEh8r/SezkOP83z82d97GL9Xmvdz6Vv//r3Se9q4HN3rVy81rHFunanjDxHxsTcBqxXmgj1c0r25edEOOKC6gOA7gsn0ZWsiHYmWSelVJagtRR6BVO5ur7tAmoRTzw6L38fP+jj+RgQZx+ld/F4dxL/30N/H70Im0R+l1fk/nUzPLuKw4/SjI070Q3ynvCFENKNjIdl8f7iJyXh/KqRrdWGujOADGKrwpaXyPPY2SRitlxkVced2Ema9EBOQ5CEpRD/ZiUiS8LRiAGIEKysr5pav+k748HrpXj9948xE9XKceR7Kx5mK0ipNYCzyS4M430P6HCC6axt+mqM+JN4PkULamI83C7vWnNLZQa9x1ANcFnm/c4CerYx9RRWbHBiRjmdVWQ6H4PR66P4veykvv+J7xfmzh5Nxjgv/XnX3tJrFpTl0jd6AjkSDPswZJiKFbA/GIe0J3sOxEm7aQQLG2b1lP3YSYm9DB2Wmnw3EkilMBzgw9KC6y7EpNKI3pDeEQr+8YI/Tc3yvRtGleE8bh0obP3s6j/ORxcubDJUuziN+73nEcZP3nmYyVDodwLSdvGbp4k1cE7LpS3PHVtNy6Avq17etNH3eMi2IWo1Jn9ZhRTJBzvLLMEVI0+kg/yAiTpbrz96YKt9/ehfj0NNOxjnM/t6/93gP4/wm03qeHh+HYlPTpYId9uvWnIc20Jl0sDERcfUG7Jg9XKPaNSyAa3Q0rFITDX/UU88AAEAASURBVLT3cictt34o6xCLE+hY6GF3sr1XeQ73nUT6AmYi3MzOcr4xUrEkZJ/SxTiTVCIac2ah73Tvz8rb34sp6Vv99N6nOWIkShPTaoAFRpJFOklgoKYD6NWhgr8WyF9e12RCnyy18da4bjMnurbfWyMeh4Yzp227uoOv4GX2bjGcQB5exwe1SVz/93sf53e/e+UlvOt9jH/d+7O/j8sV25CLSk1V9U/1kI9jckM60x4opPdew8pI6VUU9JX5LO5KDyw/xdEXw13LcQzGiG0QCZbJWzsHLCvfbigh3wv0ewdEAMSAxvcxcJ7OK+1hHK84/3m8Qi8r/kbxuhT3oPfjVPf+6996GKfKokCdZRdsnh2wh0gfkKHNsPyVBBezeGsvwDxGbPQbNCEYdCo9kI5Qh/hHZ2B6oDNpww7bONN73Kts//nrSXgm6+fp43iP81B5+XvPdzJU2vhSev0Un8ZorcT2gS7K1SxVROAA2cIDXuihiwwOg6db1BMGe0DHSsE8ZuhMBUbnpCxg2X7QZl4tzcuD4HB44zS61zTHQ1e46tkZje5Fn2IKChWvn/ITjeqnKbkuZxT+jfQkPnX3tDEudJ+gPhk2O2pQ7rJy1WNUFi4YHWyKcsrsQ8oivaTQDQzT+LRJsJqBppbFccqDkWpAETwoYAWXYHBGGDO1AOBf8s8k7J6dlxfqA7503S+tcHN3OtIijYmJSCQQ/YcpLdM8tE7EgH/5bekhuWiFB8/8HaZ+eaS4dvKQwbXH6lfHyiyn9wYcbu8iYIwIIUYNLUCluBIQuu4GZEykcWX0Pv75d/rWK6L3uibDEPmAP57ev42fH/DZHdg9jX+n+mZx0zjTO8oSFwcI4dtEflGTbcQ2TnZbxLtWfZc9GIi9bTqOZoTyskWP4keHhACDZKiWeMAlQvYyFfq948bx51nEeIrT6/3ks+KU3r+ZTONleLxCv/ROZ8oOcAq8WKpYfhePc7lpZjGQFTCLBmy0xIY6VjUwG28yJZLTATnYlnY6Be4S2psDLqDBe15evuDWvX66946vumvDnuMolElOSqM4p0k96/J8lM4ZhELlq7RxnBiQfpJW9M5/ISP+6Jn5CepnwaVBAYUjXaiHpBXORkIRW0CiybNn64jN2cFGOxxuz/zGavjMXUkvWrXOKiiSXLBQAQ6V78xN/eqDuLzunlf8HN87rpUuvhdMfnl6D+GZ+Gxh6BAqhAcGBr3TbmG903aRPAz14JCdwqx6Dmqo4o/QP2oDDixHKbvbtNkCR8eySXYG2vkLLgjUwPqpwZzQVYADGN874A7c/YCejPfvFKpRlfdkvp7mXvF6p+tB78Yp3kWsw+/f6ds0ZsB27TjMgdGHA5mZQDMfhHB3K3Yk94g1WhVL5VmiZDqU5phQyDVMc9IslyYhoiQuHhnI39el8vS73+XwvVeayXRqI/9msgy98852r3LDKNRN29HZE1a48rrZwulgFcowA5Xhu2M0z7Rv0dosg7aKXaZDLauya7bLLusGFqIZHHKPtJ+JS2U7bHrWvcPlz6Ip79SeXp0uTqd7/ZTO4+PvVB+nT++4nl7SiNOTT22UxssUHLruPNN5cKhAq8K86ExQBOI97a2eJLeUMJuZNvO/csqm+4+whLMB45y2SvoMAw4WFnir351lSwErQrocdt17GTFOFP+XuRwfysPvPbxfvpPv42exu4G2hfATDuQ8mi2QYAHGwrMkFQiIrY0Y77F7fjl/ymwDHDDUiqkWdQAdagA7GNpSduVdZiJgVJAaSw0hJMSI0Lv4Wel1OefTe/2ERL/3UOnu9a3idSndg96PU/1of++Vr8OV65Tsy//Ll2ypu271qSaWnSxmUEyjtGRnf/lnsUGpINbhO1RzSnbPyrG01PziH30ITo9A/kDAvLOrTF0e3guuOCOHUenulVb5xpenj/P37zwuTq/7JOJVFslr/9q6/cHvfc6WOEcXiT5szdEBTBusWrzwG7+E97lVK820rN+toYTDCpIRvJtm1yxLohL5tcLjZSlf3avMyTjHhdL4JclBNKRO7wxA7/St/1wS0Xtdysfr72WI7jyPuBzlHdOkvhdsitdAwEQnSGOkwmBRmw8xHMHEeYCPkkEnY9ODRfu9f/CPbJ5DtxicgxRW633dqqOH7TN//3/AOdaM9bThkfIFn/SPyl8wCG5neCr3g7ri9ozvH5R/nM7vNcXRviKMHJjCQ8xgYyCbEcEPPnRIF3oQm2Fp+HAdJTUHdP3h7/wzW2Z1cw8dLB4bTEGbY0Kf/A8+MzZa05RGc1Zxdl26l4iohtI7Fe4/vde9N+IdwG6n8Xil0703+uT3/p03vJ7VIPGl7z0/T+9p/NnD+Lv43gnJG9fz1HdpRNjV2hk7ss0RF5zsPuSs3Wb3ANfbOZsrLKLBxm8GCLRiGlEOzbW+wb8DrJz5ImfSBu4N4onX5bA+6F7vVLbXI8aP3ulSPnG80vpP7/XOf14/5TmJCz0rLy/PQxG9vtehY2nsSDJMcRZ2i3asKmYySzyrN8yDRwsnrY0v3I0mvkuwqWizXT/PlGhAvqnpqWBzo6mheqXn7fB76PVU6PTlddOzOrXjTbSmS3n5T8/OEJTO89G9bE2UTveet9LrUrzo2Jeex7FjicHz1vQGP9F0epSNTGUHrMwwbgS3A7IMHSF5ZZBMZmurdqrZsJlBA/UBe3sMpTHb8hOHSGkoYBv9xp3VIuHW6yOYxFAcHodB7z2Nx90vVDqHV6Ff/r3jd/JdXIZ/H6cd5ws+4c/BkFtTGyi6h/2UprpiJjpsLkX76nTpkvwl95j678xZaf8WPl04mQC9YpPl5HUG5XJ7Dg98IFyjg3N9AavGVsO6eOkV+CDCuNLKz5Hi9/7e4z30sgWbp1FcfO9p4lCEqMvz0ff6qc5F5osHe1jyccRDGaXiiA6Dl0aW+1DIdRrWyrMchsWjkJ0ZsIqhtXc2h/UhwgGm6DoCIAGXBopQxr3+ePmC039K53DHncm/93QK4/p6Hfx7Jw7/Lg71bZxe7yafRTxSrPWYvhTQvpbZAZxkp7SxU7jPVKfHasfq8il8fjJ3LqLFx19sBh1JG71RT/YV0pcgqcl69H6X19PfxzD4uxhWj/P0ep6Mi98JB56nh57eQ8Urnf+cOQUfsLRpmnqkWa0I5yKhaNdKjlxMSE/WOsBQIM8epfqODXc4CpYtF1NLczZTwXetpgHQEtkHGNRfVJb/BOdkGzlMHsZ18fv3E+r7yfre6zvBpLSOJ9172Vq3k+kDC1koVMFPsHamLoGR0AngrKmgc8LAvsV7dtdPJeetwjKxyYQCg72M7VsjVbbhIXj0gsRM9PPKKxQhfxCXA+95+bNCR4jeTT57o3i8fzf5jed7r9Dr4Hl5GsUn0JXMzKFkxc61l91hOsMZsnDqRLpKF9uzRHGeJWMkFZ60pQ2XxPyk8WbXLAlR5jMt0sjxrt7H83dYvXw9e1x87+kVCkZPM/k8Cb/ex2n1PHnF7yfzDjBgJ5LiIOp2EhsbGGeVTjTI1Vga1+iLH48ZlJIcXJ5CAVuu1azNhsiw2Q8i6yfxUAdTTeAwSWNvXJbuJ8tz2EK5vH/QFaeJ89U3yleXx3snUdzkO6XRoKg0nl6hfmM6571W8bBCTONlP5xUKJsT/MK2wQX6Vbaf1DEfP2CP0qGtrpRw05izm7i2XANPK+Csie/gPgZ9YlDKVzC4NOIweXwc6p2eRR8K/YrvPY2/mwyVdjJ9nEbvPP/J9tA7HaKVk2QCzBokelLAImnoHxMepvHYYiGVlqcrHLVcsl6dJXzebyOl55jaaUNo4mCfjX440sJb/Z2l4Rgw3QvZcUPFQP6b3CsvXR76t/6sMP75ew89nZ793kNP86DQp2kxoel7NX4jdWgXsxdwY7LBvJfpHUZ9spa3U0nbzx9gas2SF0omLSHKIjKFQi7Fd0J1Ak4uhdWDhmWV48zkfjB6XRw+pfN7vfM28DjPR+88f7/XO93rmkx/r7g+05MWFq7dzKHNnkrbHp2n1qmzyIEpOxLaNodXL3Zv2gHIKWJK3cceJKEjUhnBUJ3AXjE2C3377g5+r7IdLsER3ztck3GeTnlNvtOzl6H7+Nm/i79RW0t3oZ93erWLZmhyfyRmEvyY0M7aOqG4oZY72S3RLDesuzKwG82azitDV9SwW3DP5uKy1bJVpgUVyh8zBLWV8lUZDp9LK4JLl8PlcPtz/O5e957OQ89faXXF8fG9YNKzQv/5e3mWE01D0EgVZAI+uA22NmCd1RzMI7DzSeaZ5iOpHrSwPVrE1WVHy+lVOwSB2k3ewm1jrXqVAVd5gAB1Ok15VHkhQwV/0Jcq4RXxvL2yHu/h/YjIv1PoaeO4yXulURmO/Pib/VLTPv3Pf52M3gSbSCA5MLqJMdLglP2Qpa9ak6VFfJwmugh+4CS4CwXdcpRUZAqA4SfxNBb/dMVleDk+fdSzx03ex9/q3t8rjPFwr/yV3i/PX8/+rb+Lv/X3OnSpBbOcOz1jTz/xU3jNwjFUGU091q/0KCp01i7X0Z00mdqx3byPniCFH1ZN72AtlKHNjzoL+O62cDi8TJUX10PP8RXD6t/6+8nne8XH5fh7L0/4FxPxQ7iUn2hcNJ9kmtvpy+oW6YRRWecwp1gaTuNmIMW7ZAZtNMc4/Px/+zdgoh9ihYu995jbW27J2vjCucwUSIdWZfij8rzPxPDEdfN4xfnP4dWzX/G9xymM43Uf5+fp4nj/RnHxt/ouxEkKgQb0rC0EOrQcn3aEkr4x4IMF6GD7rf0tq3Mg29HTSXvuv/xpaOR5xFZ0h5w/TMvCYZdsrYw/E2ccXqCH3snFZP6yV1wRr+Bk6Gk89DInnz3+/YYiJuXhiA+IE9FAUL1iz7Yyb7Mq8QaSSceWZvAihf+SFHqD3gGjFFw3h65EO4VHbPLribuzJ0UHXLN7A/FejIRGFkIVRgQRIvjj5frzZBi/132ch79TnP/i7yfT651/H7+bvL+TDmLRnpsuBGXHYSAFTMqziO4o3znAD/eNbH4sPMoKzjS7itlYly6xTMiRBnRAXGsHOwTZJgSCUqYTl2DxOvgrj3M44/j43t97qHdxPeJ4/+5eodpZaaUj8+994Eziv1QHduu4V0kkkjST4WxMJrWSZJDYmoWqNRaY5tgl9qKsAwTiCnu6snSmJIeWjeSd7Xb7xMzE4VP5umI86N6fPZ3DHj97vv5Oob/3uvizh56vpxXT1KVQaeL3UrL2mOpLiS6KhqVA/kgrDJD8xeUGKzpyS4F+rI+ktp9jwK3UWJC4iRhPu2fZy5VgaRwn7Bdqb7yrMxFTcZ2JkKKfAxKg+RH/eCU99Gz8Oa7cZGXjd/7dZOj5TMb7s+ehMP6NR6a+VbRDGBG+OkLhSpo81n7Si5QPUrbaYd6DP1gwwRxaizioLEHsgPNWkvg8CUY+YTEZArvHJdgchw6nQv/pkxg+PcfvdO8EGsfH9fB4hQ+6vJw4XZpVqdmU3PAxUsM5e3YL5Sqe22GyCZZ9870T1ntry7r1ilVRUO83U5xNm7MClq8ZiFP+UOSKwGVYz9vLEjxOxDFsSqc0Cv0+fu/3/l7PcZ7xe7+PQ32nS6E6s75V6LjUc4AL6SNFvaB2Niwy0qIbSqFkTDDX1ZkxmgL00JXUMpu2n75uSytaSGZf0tZNlkE5RaizCC0go7F3yfuO8o5hVZleXvwuTuOwO9wOexwfv/P4+4WeVmV4nRUXx+tbeQwMEmZgOMxMWMGCEpDSkLZkvAeLaR5WMZHg3TTbE5BcD4tX2S38hg0qaWtWwBwW441BGZvYvfFqjjxpoW6hxRiYKQR0IPKRLZy7ExQyND4jkH70pXBJaSNPTMEEW9/I7oLvxibZNMZt8T/4hIDgUlJG8H1YhtKIyKN8qQ6QBGSwkbltxqzTw3SJn+t0sa60RDR2lu/1jd7rOEMtW0keGKmxKJlXQZGkUC9CyC3LVRES+Y44bbfW+vqIMkd7Op0sY3N0quxojo6FOILJeAJPWgl2x6Zvl5dg+RB3sExtZOADmhGNh8x7WJZXjiE/hjgIkEcabsi9aFqe2NQ4EqOF4w5SwBhn4/pof48Eg6Tg0aeqFGmVXhkk0E9I/pE1orQ1SqNmzug70kqq0LuAX0LlRVPIVCKEJA9xEmEFh3CoS7OYUJgM1Fp0kh6dCY9aGQzxZBqdaacw2uN0vTSe1lgGlxvDFEudcmlIPwPFEJKYK9kI5HG9x2XqWfCHzgOQqq9gUtljOHmmJgIFkMMlWrjzU2SAlTwUghuVEtwLCn98KfwLT2HeL6IKKcZlhI4TYuQKALcDKhs4hEtd6mCaqgXLXsoCM4F+5XUuja/TbA4FNKdTSSmtA8aOlJeQzqCN2iYjCkZcWvHCKVKHA7sNL+06tUB4URuqTQKjUnty30VRH56BW9VQ+1DroK+R7ZIMqhWl82t6qhsZCH71M7WXX8Kd+p/wLFxKZxXoSHkSN9Z/CA7SiWbJT3D1tPZLCc5IeBv+qw+pDXq4IhVe1eMSLHurDur7Q3AhT2ypTJF7pnPoSYbsJC9DCzgvoR3pkx3hF/oAZ31oiNUc3qGJ7eCSLgmyS9LjI+aKwTToCPuIQX2Ww7Q7n+0ZnJkCLIS4OZC5BQajApT3gh5gerIMJS5LJfrMxzvQqA5rKmFyK0LqCnB+OZjBgNWEOgotpS8w4mUxYe7ogCveZzQqUN0O53qAOkZDgAUvHXVqRM3hCMUQCJCHbSEwMDaQw0qfaCw00JhMQCz5iyAJmAPSCYCnDyyLHc5JOTgtrBte/OmliPockYnnF3Qh8GwOGZIvzAStlpL3bTEO9CeM29ZkNUPNMaWGguKbalyeC+BCHUAnZqieWnZTvSXx8KnVMfRBOqbRYAjgNK3dx4QiCDWucKqOqGmG4Jf2XLoZHashChQhUQWOpSAOJtylAM17i4q7XfEu9VP5MjxLaomfvPI4a5E/ZJUl5qNRSd60tPw9owLeIYPCKrtAgQvmKgu+UuJhVrdQMHLsRQU3fVO0bbu3wxEYtAtjUZcOmWDak2IqmNOyMnUX/LpUb9AdlHnKvkcv0DSiFGBAvKbCYRiAbpRO3tvQQjF5lDJUnYz8qGxW0w/RCrjsUS+dd9Xl2x6w899K0Iw6fOhE1F8GV6AldGThaqSBkpeBoZGzyhqGF+CGMrQap45Y4oUMWUcoY9toFQ/pQFn2bT1cWLLeq9esOPskzASGIn1S5bgNthM2Pb1qB+jUkqzwZGjHEVvy1eHVIQVrmz4wgjHR9FwUQP3V4agCZTP14peFOQ2UlsgWU4oGtCH4S/CpnODkO+FC34heEBrDAHLANAM/z6FtRXN5cCCJMUsouunCpbriSEzvhFdRJ8WpgtAQk3TtBaGPZemjI5QjAx1CxrsOfVjHuGgJfETD5WCaB7UdeMS0LU+dNLt6BaI9gbV0xXI4wMkNjlgp/6id6Bxn0IFIgzjkFWa6A7uhYEZfqWpLCulIvFeS0GjCCyCDttBReAhEyieBI5KckY7E3ATCpUNo85yYgdaylUj7QpSDnNoqN+Wrnzq6SkrTKOAI/gQhgcoRyAnIAAnioNqkpumI/FVqpArvCNWRNTrQfwO8tGu4FOjn5ahhShza/dv/xf9mZylTDchua6ieupw7YQef/I8t8ySOg1AyadQpQBE6BkB4EUzhGFEKTQaP5u/mzcmZgTGoQUULqo6IVmex0H95FhTgk/LDKMOTCD1IftwrvZJopNIV6Ilw/JW+HL/XN0on5qlLI5zyVLrwjlDfygBpTES3ccNHwpxGQH0k7B1iP/HdL3zdSltrtgkRB4YGHrbL37If/+9/hoKkH4K1sy1/wJRwQK9TvrICBm10CnBHqEswCUaHT3mJAXDcingrHYIOpAS3LzEUwakoWoHvw1/gIyJUfsycxxIizIQOIJJRKqXRKlvAMfkG/Cpf5Rd+wAndCUY9CxGh/enUmsooXrYyipNvX7WZ7IeCebmYFRag+WbJ/tVv/r7N3njHFkgHX2OnecIOVs/ax3/9vwqrWyO+EQ2qXGFETqd1DrPaRCPbGJbwehyvthe8vAtg6Q+XaFBAjelFzUOHDjjQS6UY06/qqytkD2MVrgMOQXBg0ITCe6iHeIbg4o8GLPUPUQC5c8/AL+M8cNrVtHWMgQCv8hSd62G+PE//x0jt2tv2jS/8sdnlbWO1GENBVrUYe1OPPGW9z/wd+rQYB6KYRD8tBWkkVllj0VJjv0RqCPU2+OAgFKZDAUY8lBjx0oxK44YYN4xE8CJOhuB5wXeK5tV5hmWda5oBSqXVP76EoxdBHjXkG4l58q8RGhcqCYyVTXfimg1ahq4coBCyM3yTgNm1GGp5BDHjxvMGBFUhtQZ0MTTVJ3zHSKA0ZUYg/JLbI4ljttLctirHgvbBtKwg9662beZjc1bbgqCY8qjZ5Jk9kB91EeTacawSgtRDfjk6XxrqxuocIkFyYdSQZECVw6UG5YOwO1f1KsN0VJtDRiMZgRVIEERbcNqDwBsUq/fyvaplOxGQ6qn6KGzRe9Xx1EEyfBukHHCgS1vWspQBiEhgYuREkkZvBYfMqOV6MYjlHFswPZi33bdwII1iaHGESwpp6pE9cozK04i2nHdobaLaI7YccIZOElN69t8HYJrkpa3qajPBL8YhQhSMKgtpOYykksYUIVoQrvKiGb7pMEopHfLH+CM+lI5KTFJTSnWoLAmChEcYnPbAIBhPxsyEdJJlSBpgCB0GmHgMV5gGI1WqzcNPnZhfWnimvdt5jdKwVJTq6oADNjKGwUoDCPuWcvJIv5GwSnPGFsVEqVCPdj5cQ5qt8n4eaQ0alOsCsZSk2kTw0BZZaFh0KXy8O30Zt5WW3oWjJtKecCYprETnxB1voB/hSDiFTEI9hSP1jyZ4FCVq0AolUp4k0w7xYq4JOLXSSjKRiiEBfQnRqm8KeFA3gwckP6SmNJwxgcNs0VESCStsZKXdh0x91PPFFAdM5dLsxzL0IjP9OWvenLLp6jb3R9EIdG2m2LLtetuOTh8hnUyaw/q7wBYxQBjoSpBrgvQgUUzimUZRjaphiiBg+amyYhwidonWEvdFoOLyqirRgeEEUUEEEiJEKBoBVHkxk/G0SGfQjKQERCaXKKg5ncRbHSY+hJkwSxoTCGKZOnJuALYpYZCDGCg7jMqkEaGQfShdjSVflgES4FLxlByICi7KrlAkpA06Xp1jLtBKG85zRyk6TrtiR0tnMLWeYe6sERDc6FAmytYorSYO6/JkKKkJ7ARJSMxKDUlRIVTjhn5MySIqEYEuEbU6XiAynqXD4ZOQRnN7pVIHUZyYr9wD6CEQO2HorOStSNVXjETt42b9IX/iMiISpSFDfyf4RDTqSPLOPs3GtePFE1h6lmyeNZoUHvtTMNYD9qKMDls2xf34oHKsg8MKDp2BaWZyODbgG0hhC47FOHUpf/0Eq/CvKZv4iKZzgrsLfYk8BDeUBqMhkisD9xATHutF9D3xZCAmkeI+jWQozMghVQbaEMPpkJHoUd8I5+o0CvQTsYk+hUzRre79xydhgNH0XKOz0qijKi+hWlJznqlbqZe3uUTOltjwWEF/1tveRbLGyVhlkfO655gml22L1eNw1AXfig4pbAwnt6pj2OcCcJKslbe6k34qU1K5FPs93udBTk44EdIC7KEW1JL6iVYoV0xHeKXygX6S4EQMIwxzxKtPqg8Kz0onnZb6ozIIxmjEjfUxogvhhxUb1AWaKYz1JtA3bRkOlkMUED0vzrEZFuvWbnXABseSNYcVW82eZCVrDnP6XazF92yzfdVmMSFIh6MQQ+cFaIY9MZMEQGYCEDSm+g7DgDqDKsmAEoAOjQ2T6Ys4QGCHSvUQYXpwaY0m+tcHyDa9Tp2lyXtNlfRdn6lOBy4vblxocEA25cszeA9z9iEMRRJPX+fXMgropD3GfWGGssfladRMwFk1ho3gqPKQJXA1AhMIY8DEJ8AVzN6FfdKoQ+l0d8Dm9D6+h1HNwW0XErM2ky1zhnDPdus6CpNRpz5l86UVvLfX0Utg2EVDqnFGSEPBD4bygYl0EAUlIkqMB+TQiCpHI7GYiRpPRCWWJgmJwS5cvAJYWJvgFr5IozCwdPCskVtMZAYKEbNQ+ZojCx3qrIGBiCjJQIyJqlKYMtW9OuY4DQIIz2PiUTsJJ0H3QNnKP9fJWrHJ+cHsUyrxXATwBDqT6QRHQGRxTcDuWdna7LMhsEq5aSy5iviEzdHR2NwfVj3khNgvwQKotxkYIy2v+AyaYeUAGpBOQPSgjiQa0aAhaSIHs5GXrwS4DBIiaTQllrQXliuJVwfoQ+wS5YUrbW8YCBlcSfCnsiXB6J6iSBPeBLSoLUgOHmkL6JTiQoRGXd3qPGGt1sl9oWxNsjRUCUVGAskhfwCuDhN2fGY1vF/fx4cHCklDz8dm6sAou4HOQ78MbSj9C1XgGsMnDKmDIySF9/JmJ2lF9KOuRbXCgChYxJSCJMe9VAN+aeorCUTonmI6Kgak6b4cdmmxYsxYxyUGnZUyAx+84Z/aXvXnezIQNsOUk0FBLiVk8St9kRh2QsCQnyDfwz3HXGaOkxtKtBOK2BaD7cGeFThveYo9a2w4sRJ+gVcWOFsnJ2M1KqSlMy2CBgmDMM3oL8coYWlNtQEw8VzpT/QDxsD1xHEFqBOqtqQLUR0hl0SaJqlx9b2+cWaEPIRCl4YCWSIMaDZ0tFAZUqrRAzXQuGHBirSa3/eFfFopSUMoiTqqr4iMWT5FiRDvjFpj+IQZoAwjhIiqDUHV2WOwVrgaTKmr+GMY4YJO0lFhoWi3hhu2ywHmVmAzGEymy3KwOo1GSimbJWYOYbItOoNGFtVNJYhg1AgiXhmF0Y8DfgIz5oHHUC11JNAYFHfqBEHhyoda7XFCEpXB10PnlOQlAg3DPIGUqfpOZKFMQ58a955xecSpk+oTMZOxTgBcEKGfuqSkwR2Ofiz2b9ngkYRVu4e2X9tjhapnTWxJtvDUfwKPwRkcSGsLgdSVqPSFYGhACKANUd4Jn7eLpjQvE7gpX1NbSSWccc7IpXLHysmQCkCyEITaUc8iX93rG3IPg5YkmcB86IXqIMKbkComrEtTCdVT5esnPAuvurQhUYsK+l51DkwUupFiv0+7pSg7zTRdzF/0S7GhfeTfd8iGt34GNwzah3Ksaxu2xgHuDAkwtRq7i3OL+PVI3CTdUWBmMUA45ntAIQ2DAsAkNdAKDl5oyjaWflCOql3BmWrDZ8ALDZFeNKto9S9JIeFb/qpeoJxrTD9iGqqPniW5iqlKQgnMkFiKv40LpaGt+ImO9I2U9oJRsUEyY1AMgw9lMCOmfBKBG60EjfHA4Mqcq9Wp2s3OnnWPN203iR4RiVRjPOewcZLDyK5tXKZ9QwUErcQjJIzA4dD8U+EkDZWlFkJU4OyUI24q4tHoo4LDPBGAxOWEiI4AofGEWnHQGRQ8ZBm4rkR3jTopfnmMwArMuYo0qCqpjqryx6tFMBcxI+XO1EKzjDLSgkTzFqs7ImSJ6tLV5KHtNOWpRDWMkB6UjuSlZ4nIgpTbAJcQLkLVXHJtesde+P2fA+gf2op6cAGtEjqVUfK0vdLcsR1GpPHIpRUkakc9Msi5GVo6g8SgpbME9uQSvdVhZIOQpXOpSG3dFkEI5rESWkQBPsGJdBzyISvJDB4amEJZyizqzDlYVlMDKS33YsrTtFuFemqerR3yVC0wMzFhid1a6dCIQ6CaiUwCTsVExkMwoe65REhqKCneBywJtVaZvjy8bydfOG/H5jFCUpdSUso6kzxn7fV1lgCRVDoLbP6jxTFky7ANoZXD9QB1LWPkJThCZxABhI+dcMflCaygA6C+NBmjIH8oQxJHgXqr/RGOAmx6DroDvmH2aVsQqvBYoN7C0Qy4EPM45Fk4mmZ5UjhVhxWzcKXjHRyIDgQV78WsQnygljGm2MoXYtEUEEoxDZ1BWw2k5F38v24vHNpH/hHWr/mjNBzMhffqQY0mDscPrlutwTTAcAzE11o0kG5OP2ZJoFD3Y8aozi4JWjAKFl0akApsoBOAmioN+eXCcvG4/UTjbUYMMRPtoVEfY6wDUkm4ZML/InSow8aDZEKeIyGHS1NGtYt0HxrL4Q2h7vpIdJimv+fRPeXY5JlAKmPNL7yX0+gBtCG3G32k9+H0yGrFgVXzDZtf7NkLz32ULDYASA1GJTlX6KltrIGxtUkP6NDSmchmQoSpDi+dhngkTH0sfoMR8AQibxMpt5xnHSrTkMiELJYXxPwf61UAhm+k7Jmi8hkmfMG35u2KSmTJMU3JofyVNSnJQlXk0DkjrsXVBlmai484YkHbw+X9SorFHNKS9CBdRsUU0opWjagSRDoercToxgKawIPQxATUkaiTmJVKErGIOdThRM3cW1asvGObiPUZOkiOQ5hHqVnbvHId6uUIEIxyRBmStkbAJmmLPhS2rouYM8wjRK76C/pCmUKEmDSAcOmtcDNmJmpkEV1AHvCMp5m8VmOrDgFcpQXS8BlxpNZ8WJ1OnVHV0RKvRv4eDR8YikrSt4TjPyIa7gGWT8KlMoK9BWFwhk0GDTatbSbXbeURpnjFTUanKnXu0aExWhtU7LB6BgkVhsGZxBmkg6RsbyD6BCs7mu4VUKBLatHUYYxf0ciYTlSeClcnykEPwpdGUT4PqNF0WNJGYPDhGyFMacYMQgp8KeclxncgxgwIUd7C2XgZXHgeSwQBf1SYMYcOK1yO6ywaGINBx1bakJ58Fc8gqJFqyAJEkLxAZBLT+CQMfMRmvw57szZSa1Y+iZlA8iYnE2zSN/R+MUy/197A2XbuXJCGhGspvXWpTLWVaFHMSwAwYeIb2oI4JfP4AB0DjiQjjbqqrwYinSCpQUiDkfJT3sH2CDyGQRmcBgkC6ufL0OZilaprIJAQRWFIz2IqwnVQvIb8YSJ8pHOChjAMMQ5kTJiOppwgkPakE5CDXJVyMgPEtpOo2Q2MGp8+cYD5w03rCiCmvNn6LMxg1vbXODJGBjUqXADrXiKhzMZFwCmmQDlsULptafbx/MhGrwxzyC6nvQ12a6HSG4iB7dUp1tsZNhB78jiZlXPeDoUNGf0TWJDCs1Dwcf4MQ22G82da7cPATDKDJuPCDueO1JmXSYoBFHyuDqEGofCQU9abjU2OO6DMEaJ4b9NWINppmJCWrVpw8RFiahFFYokT+eSfoo32XefBqDVl4Zlg/0QW0/gi3qDKTSxbUW7k6RxyKRCYBC4FLMHogrY6w6HUWc7ezbXQB2ABm+aAlGyDfPhh6IjhDiMC+Wqe28kBML5A5O5/mgbLAEunyyHbM7haLqWYItXApzoFjJbRXGk41TdwIYnBnVLGqsxdRuBrrbHDJjuYOh69sjjYmNpv2RzLtY+inXgkM2WZZht7Hyw7OBTrENGtB36LeM6Xol7b55s92oBO0YQw9vAkPijSyFNFVtJoEy5JkHKElNSoSjvrIHYp3ocNRiSsX3PMMQvUrcBKVpEjHwpIftp/1KTt6syp90fTTAkXcIOE4nE4x4g6DbNh1yh4HLFnIxfW1Fn6l4KGOneZIqXYENhgGN0pj+wWAt/aFAc4IWV0YECob206X8TZUteqeHSbXl1gmbHJNnd2b+M/Rl7sOvifLUCPsxB1ooo9g7oMeXP6DXSJ93z8RCxjvaqjOhpF9DGYMLToIZq+on0L+eSYV5VZSMhyVnQGY8Qp8prlPBz2uI5XiNAFtcFLG+X7kDpmcVNZ6q2gH5kH5yjfsa3pw0Bl6dviNDuNXJKqkxhoVXDTUByykxZREcPg4BRJho5lrGiPZNhdfAAtQIddHGXPsa+pu1u1PArtVUbzFei7uHvA6hB74WZyOBhq2wJ9o1g9tHm+OSEn2mvrdhQyPg7siyg3Zxj00wysI/Alb2hlmPos/TOZz9meBAJoUgxVRnqgN9i4SJ/ZhHk0NdAjcZSzrMRQ1zzSUBH8laDhLaTM/cWE7c8mbY8+2ySuB4762O/oFLoEuiNZw5bQo/Xx22Jp8FA6xP5pzTrTNauVq7Y9XWcauA0/COTFH42WGnbD7e3RlPs+xK2pgizppB8RT53GEGZJW9BRVuZk6HW5astMZ+ACVgVhbaSVPUaT6QWMeyDYA3x+tFiCa0GoNZjQIozpNB0rhav8AvPPAw5gOrxVhYjgjhgAdZA8RAhz7AepaK78zhWbxldoXh6zYQ57dOjRQ/jZoOOksdBroAxrA+eIDpabQvch5qhDojSSglzpVLQMNmK4As90FOqn6RVigJz94J4eLgv8iPFpZGp4OCbDcrwDMmVsxzdy1Thi9UkY0vRGhj2yYejRkAUkrykaoXvYsO2dW1bA6G1hbiZIRV2WVpVuvNpFTnQUNbIsV/F+aG2OXqwcnbdkIYevTRqKjriA380iaRLYuGyz8XB2ZckOKtlQ3x6jiWCpwpCxELA2hJHPodeByLMcvC7xdwcT6BmYqzayaSlVg4X+UTEYLhInoRjMEHzKbqOIP4o0mr00ytiuJl7ULQMTy84sWG8zh0tcGK/goU21PJ8SDNRJu457MJIEzEfGX122qEvXNldEhwCT7+7Xkf6QUkmjQ7CnMNGfZyVIuooeTFhifGamaK9ee4vBYWir83OcZQtRoqdKgadDfI/2GyM7Tf1HdLbDRhXmjPQKc06D60yza0uzU7bVYisE5SaLGI9BW2mVR/vLEHMQaEBiPQMlS57jFQWGqjDqM4VG+SQDPqmAgm6OTiSJj/U90MC2emCuN3cxfhvZfHaB+pes2oDZoZAtobhvwlD7wCNnhwNWQbXQ0KPDa9qxwFRgChiXaz07iRKzD7OpcnRIAjgLrBwe7OGQq1gA/wxwDILSTx7UODICRv3QHEpPjq6dA6oGA3GPvAelHJ2dNF36UZczKHEFkCodQU+OVA0T7uMpb4XBmqJtC1qamseBFcyUCSlL+uAbxs84B47SbNxr2wGK1D6m8jqEq0P/liFnWhbDhJpX5GHWvZaW8rPQN4f1JWcYgMgAi8gE/T9VLIVBtUmvGJXHyvKwykJ+EAl0B1OB1rjEOBAbUT6m6NgtRi1kIBqpbRW43REaqf/aTVu9vGMbL78RiKGFTmrpE+ft9E8+a99BRLyyu2bLxQW4KZ29gldznUOzk7ATmpe9+Lq13rxg69euUHl0H4vHbP6Zpyz/9ENYidJN6iByd9+eBvCLX/qqNff3rFyu2AIa9enlRWucPG3XEMHqIEFz6qSOJ2Ri3QXOJojUcZ5TOLiZQnoQE5E+Q+bUEhEldVGFsBKwi4+OUoHGR7TLov+Q9p6hFc00ehsaS6tawVcqZKTplKZ/0glJ761pWGlhig5dZz0e93bgqUijZxkxZA25tbVpMwtzKGnZ4wByE4xiWaQoSV2KU4Z52TlA0BtIMroWytjdIHmJAHBbZKU5Do0upqzeqkEAuAqY5uRfiH+LUapAWDyEuSfKtt7AeRF4y5cZ6Rp1YEQnJXsRCHjckoywDBYSp9W+mubIEvKAES4B0RgSWTa5ggQIQ4Kg+pg4Dwi7wDZgR3XGEPGlv2IEGi8/4qKBvQQ9rJcOOJnvXKZiZ3Mz4IHNgmukhyBPz8/aTbn4gxltIDUdtjkqI0iNY1PtzAybB5EqZLsh3A1gkGk6ySx5VqsHOCnGtJ2RV6s8t25soB/o24mpSrBWLbBkq1WXvZoO8ULfRgdtMzhs7eKHBsbMGS7htL0pBiRZc8MimMqjL9PSPnWXcnQoo8wsHuehIUkcYYsCTEaD6ghz5yEMRLJdAvPxbGrGanWkTXQE6eQqU5glRu2yzR/QiYCrjV+cGj21zpQ/BWcq07wnyOtYO2uX/sWXrXN5PWzbSKzM2Nyzj1jysWPWYWVEhpBhbQXRN4e/4R0GqjyS5ykkiNr337Sr37/AoIJnfLTvGQad8vnTVnnmrGVPztslJLkG899ZJM78PrSIVLRIe964esX2OSVx8fnn0bmxhF9AJoauW9S9iWJZOgoMm8EHTrPBYa7FQCIGQevqbOmgiQWnJWDIIs10mzAYVvvyuNYuNU+jIsIimrZsbDLNhTFVof0uEpQEbZAaBq0wrxIuxVhEcGOnPzxntaZPozF3GkLoGZwuD69v2caff9/2vn/RVgplm1uetbevXbG11rbNYdy09OnnQABcUroYCKUDIRZA8AqVKyKd/OCrf4weZ9OmyyzNQSzNq9fsRm0f24YdO/ncU4wCWSo5tD/7rd+x3s2btnBiCalm1/beWre32y0r5jCY+ciTNqAzH4ihMM/vQoxCRJkRuVgoIsZx/OM+UzKQHcz4YYbwwDCnFpMoYnh1ZHAO7Z9Ou0c6afDbqfKMM6A05sLswUggnWgfUNhrAoKpOT86AKO3ltDUwaeILzIqzFHfETAfru9ikV+wk4tHbZ2pnDyYS5GmpWXZU8gsPycFNCNRosF37G3I7XeD+L0gQzwkti6NpKVg3H/jFo+REQnoNLibQ6fTw4Vgg7KnqKMYzxSjzzZxXaZm2XmsRRiZMxJ7tRpHPTUKC/I+HFSjjiQzwKedIVyc+0x3UBxfojDE+3IOB8qawklSTZ20m1hJdWAIWXycDJEsMTQHh0hX5CMDR8GZZcRcFOovXbV3LrxpOzfWLIWUMr+0aCvPPm65h5YtcWza1uhkAwanPtOXDh02yzRje3fTpqYL0Alz8/19O0Zf3/v+a/bi9160n/2Vf9/Whl2r1bC4BPaH5zCMurFtb33ne7a5dwslaIOBYMpKiwt26seeYpBh7s5+oj7tX2C0ljTdRWrNwNxVnQGDmlxGpGDq2n/Sp3xYKZgRvYc1D0ZcOg74AmuM0kyJWrOWW+tYpUIngq5toCnxEaYtbC9oztoh02bhGvYdpE2tFBWYbs9Qj/7aLfvq7/y/Vn/5bVtGUiwiNWyuvWMvvvZdO/3R5+zxz3zatmCK27QtnkLQ2bFHrDJrxdqhrX/nJdv80+/ZcLtq07Sz3lfXrljmB6/Z0s3nrP/Xn7U9+mN+CobMwDuLkehRpk+9S1fs1p9+zQ6QVEoPnbP0kWWOsiUeGHU2dAOJ8rCPAp0jKrLgKYekEcwSGFxz0JEGwz4SXIfBcIgCqo8bjgE0XUgVbam4YnZjHbemWiFgtqPjUtGIL6A9P1E5BTNBCpaiR6KRlnD9FzgKCFUokU1kBOtmSRIlKHt3Dl5/yy5efNMqP/OMVT72IZsqZ236By/aze991y7+0Vfspx45ZWfnF9F78B1if5eGH/ZqJifw1dfesL21q/b08zCNT36IvLEohEmsf/NlG33zRVwBLNri6pK9cfmSvQ0RP/bvfMSmP/G0DSGM3AV2J/7Zd6x14bKdf+KcvT3CsRHMLof0kaejzjAS5fAk30DPUN2hE3LIVItRSGIyQ3pAAn3actRrqTVnv/8rn7cTHH9YZ5qWRUQuyFx89RHLf/bTNrN0NEy5gm0DhMlkhU5Ih1R+YZ2WhoHBPQLTSL59y+pvXGa6tmXbtzbsxOmTVvnos1ZcLlr7KP5CC3Q8Rg4pHKcQHdMwLFQgTMWYaq1t2cLLl635zk1r1hDfMRRa+PB563/ojH2LZbg6K1hPIDHM36jb3p+9Yt2b20hp6ESAYemJszbzRNaOqmOi2+px2pz2NbGLDREVYmO6pkqPlaPATpOKHQblMVO7OfQCmbc7dulLL9ni/jVEX5nwakras7WZWXvmv/vfmY+zzZyD3DtiTBBcAavgJMuhkJrtIT0+Nb9kMxfX7aV/+Yf2TnXdlpeWOPANhe63gfW1K7b08Wdt5ec/HkT6PtrXdJYpXZ3ugRevafCRldMlpsaLSJELV3bs5S99zXZfec1Wf+lX7AIjdo0Ge3Ia14lMha9+/o9s6523rHpO09OkLW3UrPXDm7bX7NuZT3/Ejk+X7QZS2z4ifFNTH5gGEzAYoaZ86IKgca28KBaWi1J1OtD/EB0arHfcF0BSEkZSbM4heXTtz//JFyx17RXskUAlCsoDpLjM0WftQ7/8d1ltwtZilukAStsMo/Myo9VppqmV3Y6tfe9NW4OGP/IzH7FnP/UC/Sdp19560777r79mvW++YovPfcLqR2fQg4FbBoABzocexmdM/nrdLn7uTxncGvbsf/ILlnroCOoLvJ69ftUOPvcN633rok0987Cde+KkbTBd0croCgPCzPVbdvPr37XMq2/b0VMrdoz2un64z0EDeBBEcVxEesuie0vDBOSmMovEok2j8pgHC6XuuNeA8QzRDbVh+pqeZ4F5Bokzge/jzOXL9q3f+wMr7VzkPbrRElPqFP1sqWjlT8PoJfaLwBiswkil1QZNd7R8JMlEc+0eo8MI5RawIS6ynMdoWL14JSgXn/j5n7LDlSlGCsTQZ07Zk4yse3/0VTRuOyi55Kmb2SdEOUWnTjP6FtGpXHz5B5hvjOz8C8/aD+eY28ONFyrzdhKpoPeDS3ZsrUpZSXvr+y+xJkpHfOQhuzqDDQij2bninC1Xq3bp2y9b+9s/sHOfeR5iY7UAs98RhD2CmLWJbm4K81865SadSrYpgaFQplZBtIGqQF5z7Zw93j1np5iT1hE323WcJvc3bReCyPUoFw+ZQyxfka0gRCY4dLA0EoHwoD060qDMFZFebu3YW3/6DWtfuGGrzHWXMOg5uHzNfvfFb9tzv/aLVpx6xGZzrHogPeXJW4ZG6sxa0lzFfdef/+4f2ODKpi0Wp9E3scJyfccaHLdYau/b7N9kZIcRFlg5WP/XL9r26xftyPRs0Fnsbm0wB+doT3xxHnn20SBhbtIxi8zzU7RRjhE4bHwDYCnXE3QssRLAD5KWlhQzbFybGhStfqVr84c5m8Wqs4jCUA6lS0xRyzgLztLJs3Qi+mHA5QDFYdj8KGVq78CKKIzXv/Y9G1xnuvPx8/bQjz1uR6WNv75rX/9nX7D6q+/Y9IfOWQbRXB670FYyjYDO+C0WWTGDqXS3sWG4sGbXv/qKpQnPw6DQvlv5iHRizMpp8xe//A07fOkVe+7Dz1jmF37MkiiZ59+p2x/+31+0V1952QoPrdj804/Qhkgzey2EOpSNEvMZz6QzSaBYlHFZk+lbSzQtqRPFuxiMJq5DiGNAvSF5JDpWbVjZmWpUrHxjyo7tnLRjMC+tAq7ThrvI9DnW40ccbj4ImwlRB5BLGelgkQ46hZ7k1dcuYNhVsFU6/vayjtlkEeKxRXu0+ZRd++0v2+bXv22tv/7TTDlgzODkkMPam9CFpMgRSthHnzpv7ZMLts7uyCFTxdOPnbLppct2jb43vIn+6CgKYzr7MmlzV2/ZJhJb4823UE43mTrDpYdNK9GWGaS3wpAD2dHBHTDQ5Vs7dmQO6kZqYSmEOqAigDSaMOG2TCNQGvUZPBhTrF2D0dOHp5BMpvHqcrjNEboci5pGX5REzzYzuGW7qRVbKD16WzIRM4HApHgKiCQEZ+FBHakDlxJX7aEvkW0BLr+tibhzdoGzaFGSXWHlIcmieQ6kLB9ZxBxbx2uu2fGTZ1hyHdkWp4ANUbRl4W6pLTTAN9dwVMwOTNzBHTKF29uBCeRZioSx5Dc4bvCHl3kHJ9Uh4tNzNnfktO3RaWVIde2wZtlFzvDg3WMogLMcIvXipQu2/fIF69/YIzM0zsz7Zh89YzPPPWYr549RMRoI7o/kyVyetX0aXCtC08wFd7eqTK1YEs6hhNR2E0aATVwZ9vGNusepZR2MO2CngYFmQLRGfQa4MFUoMCKcYHft21/9pl16/Q378WefsWd/4gWUunRORNyLn/uc3Xj5NTvPoc8nkZgKjFxFkNyjM27Q2ME2549ftc0XX7MzP/VhO/HvfsquLbJ0/cOrNvjNP7Ht3/2qHX8GJTZ4Sn3tdWsiLq984kk795MvaKy1qfVtpoGfs+LLr9v82RM2VSnYPkwvjXKv2cB+AGroaSkdRhJWuGkL+AfMcMzMZB3c7DJysSGkrzk7dVdfVwWHjIo9ib2MNJr/l8B3hvrWYCA9Vo6CBTMrVaexkp291bCL33nVKiheK0xvby6gu2Iufnr5jD126Tl7/eJFa63dRKGGSE5nSTFXlyicg+nKX4aO2Gh9+UVLvXLFFjfwOYpeaYPBY7u+a0nm49Pg3bYPbIOR8dipI/bQp563t5j311jWHj0ya72PPmQt7GG2Ed+XWYE6g6+I1g674DsH1qquMRjCLJjn546hyOacmz0YyiaEoKM6pg7YOU6lE/h6HbIc3GVUhuroQDofSNM91b+ELmLWBhv4e0GHlF+eobOxgsZRmTn0CmnwgnoThoCuDzx1kRZGhziZ2tmzpWMLliP92zid2sDXbgqHS6fOLdqwQlok0zZK0SwrSakmbYHC9zo6pMyZilV+6ZNWPHrMdsHlIce21unoc3ToMlOldIkpVqJouztSshKH6cTaKz+Akbxu5xY5/J2txT/obOFWssFgChPl2/qlqu1/53VLvHWRaa1WZdu2jmS7+Ld+2RKPoRCuVGwPJqopLejDWdgYviT126N92liCL8FsZccyhYSTRFfTR/o60Z8lf6bKVWxtmNjAoSWJBD4SuKI2DmmdHjyGZTxaA0UkC1LSWrNq0kdn0anu2bGzj6GtLwdNd4EtyV2UX4WZaTx3z1qVfQxzPK+cPmNvVGthuqAlzu4ek2umK8tMAw6Yv1YqR20LXUlycc6OnDsVNsiNbl61xDI+EhiNjj36BCMHmm82QQzLqFHRRZx4+FRQpO28iih8/pRtv/KO9VBwPXf6EYyvjtsaCsELN67bS3/8J/bs4/9hEN1ktap9GNIfiFokickgLjXPSXUoGOHlQdSs0wEPQOR8CaUUpph1dEXishl0HjrpLIUEg0TOHha0+SwRzsKM2m+9Y7NLC/bkX/tpa8wW7cbejj107qR9+FMfs2/+0R9b7oknLbVyxGoQtebzXX6aiaTR4N/63g/sDKbIT/6NT9vbqzn7NkTw4ecet7NP7dnV77xsnQvX7QhTvuGtPZuDUaw8/bCNGOHXr96w4+gKHptfsR4SWRuF2Ij6LTJqVhB5rt28RduxHAiHHDDs1KlPG6Y00EoHzEUrUmhxaDtkU87TreZr+Hxl2wBqtiKSSJ/lzQTK4wEKO0l6CS2hY2gnQ8EUdCCGI8V6p8oSJUvYhSaSzDTKyYVp28R+p8FSM8odO3kaX6kvftMyGxu28sx5G6Bf6yJWJ9oonKEvNYf8prz15jv2qflVO/upn7Pdb/yZvbz1tn2IlRq1URl452H8pf2GrZ55iAGGkwdvvmPHHzqBo6Jt+8QnXgiuGrrM7w39wWAXncN3X7N3Xn8TkZ02B/7jy8ft2PNP2+D8UeuVNU2lfWGW9Gc6M1InjFE+Ujq0sSa0fVnAIn0kikgh/Q1byu/ZwjGmQax87dB+67ioeBqmnUS6gmNTD5g4h5njW8nqSMkVppwsWdn0yhwHl3VsF1opHuVs4hz+dVGa1RiELzEFKn32Z2Ew0Pp+Feaatx1NLaZydvL5x22bFavNZt0qR/CGD3zdW9v2zsaaoAuDthjkYQ27IBjXm6+9jCEkjPjjn7TKO6/bwdU3wql7h/PTtscg22DAGTJIn19atpPnHwbILau++Yq9/vprtswq2hEGa/WRA+rRYRov85A0Un2eQVd6tySLK0OWjndHVXR8+xIu6Y8ovTuYDbDyN4cwkB5CICMIsEyF6iyldUTw6CAaAJ9lrqyZcZEvr+3t2gpz4d7GTeajVRRf2HYgXnUzM3Zr/bqdnFphupS33Q42E3C3Idx5FvGqcatu52fn7DJMqMS8tAJH7R727QCRu8LqTIMNH9P5Zbu0tW7PHmFagtHUGcTzIpIOKGbJjFUSLA6PIC5WGRVH2J0fHtRsv77J8hkHIIGAdYhsaW7W5j72lO3oV+JKAABAAElEQVQdn2a3Lxu0rhRtZ3vbLrP02mALNVRiPZZ5E4yGsnms0/FqhZ69UbxqoyOIeP223diFtc6espvA+BirCCOW6QrTLLsim7RhKLIMzCL1ZBhS5HtlTjYSSGGptRuWePRxu4HIPmB+OVwo2FWWE2ePHkHhnLKdN96wOVapOojlDSQ8GZIdZ114CSns0pUbdgrx9SYNtUYjLheP4rCJKdDJ07b+4os2jXn74yeXbYfpRLOxzVKmVtSw7cBuZpnlutpWy3aRKurgpcUJWmfY6fzy//lFO0CZ2cc+YZ6ViA5S3pGffsGOo9jeouPuwcjUqcsV7CgON22nfh1pAoEXUbfInP1N2ixZOWK30JHNstqh7RtNmFEfFfEUTDRziKQ6gKCYRqRKs/bD778FV2jYQyfP2g0YTWGG3aUHzM1RDiaXtq0wxdaFy9dtka3OVaZUSRS286SHXdGmMDmUxs/8xt8LimDbbdtbbOjpsjqn6U2PDpqh3QYXLttZ9EyPLKzYxhe+Yg18bFy49UV88SZt9alzNvMp9DKnGcnfumrf/8pXLcEpUU8+f9bap+esxzSs/ZXX7To0fOTU36Iz5+wo7ZRCeTpi1E8zD8ppBUsnOMA0teCQIq6D5NOcwhJq5aq9gp+bZXSv27VV2mI+0NQOS6YNmE6xMIslKw7KcbQ1YrlUivODfQ58Z6g+gHEcQZpYgTk3OJ8ojSJ22NxEx6f+U2Jay+ID0/RyFuU/DGqGKZeM8rSsnZEdCkvPRfScxc2Wvf0nL6FGObSzzz9rh0dw0IQe7uze0L72+S8wUB3as7/4GZSj8/b2a22bz8xbgWM8W5m6TTNAXv/+6/b47KqdRC1Rm2XZPX/Srq5yeCX9QYt+ZRiH9mSN6LPI5TBXbIHoh3n6T4lpdoNtFVUOKz+Ya+Fc22wOfwxXNg8NIwS7zvTt146jg5K5bTBogiPBY5FGxqKwRu+wJwLigIczN0PjjriSlLNdCq0z5ZHndu1/WD16HAVXzxr1hp1FqTMffKliYQpXTWm5FsT0EKEbpNlFySQHSmxGRXJFtJzWNISRitGww/RJIrQUvRr+m6yU5CC8Fh39kMPDtb6eYMtzig1G2lxUY8pD9fGIBSO8dNOuoxSemn4YcT1lx48yyj37tP05Mnqb+aZ2naJ+olrMkzUmw8x0OujP/dN/QOe+gZZ6ZP/H3/ui1Tcv2jYd5lN07DwMpQuHlmZf2qOxZzlGZghYy8XBSGdzAwbDjkpGnZYYnqS4MLJDQOw6zqEVz6Ns1GrFEGbbgUlrpzR7Bzm7FTGZcrKsaG2SWZMyppmnF8DHgGlgrZy2qy+/ZB97/KytfPYnbKddta/8X5+z85/4SVtOLNqff+3zrO607MM/+2F0T0Xgzdi3fuufW/5G1R556mF7+GMvWG1907574U17542X7MzilBVPnMFIK237GC0dyPAQRjR7YtZ+7R//Z/SkXbPNov36f/RbDAxIXDCcF5iR9OhY2qYPTVuRkVMbMyXJQjnMIBmKYbBDPGfpd8hyZasNLIUZNont23Hg6spalrbLYHuSQlHcR1ehJdoqI+8A4u3SFgcY8bGwQRqWe1kuF65VRgt9SrKBYTpLxQno66UXv2sDpkDTdJojy0estXnLbl2+YpdhtJ/8m5/l2AWMyGDAp+isz59/3LZWYIJ0VgZvW0MqrnKQVp8pWFlCDNJ1Fimli+ZQ1tdSyabwKMdgjATHCE18Nblnf/t//lXW7Lch2Jb93V/4InY86OVKC/YpVlmwk6VfMK1hapZGz6J1iiz4zaOn60P3OZbrm/SVGn2nCZ6KLFsfYZCuoENrMNhNw8CTfJ+C3nWOU4/7ITqwAXugpFI4hvRUxgnRxf/na3bjOy/ZQ08/Yasff8J2NdG9tmNXv/BVK1xat9LTp2wJOkG5iSFbkZXKuiW2MIJDIpZrydXKjG2to6h+8TuWeeykLZw6Zj/x4Y/jjpKOyIl9zfrQDsB1Rzv5kTg05sn9xcL/x9ubx0ie3Yd9r6u7qqvv7uljZnpmZ3ZndpfkLpekSEokRVIiReqgpdgJZFuOBSM2kjhI7D8CJIgNxEgCww6SGA5iw4YdO7YQWoavOJAlS7KlyDYpitJS4nK53Pua++zu6bu7qrqqO5/Pq/nOvin2MaNd+jdT/X6/d5/f973e9zGOmxgt6cOvgmbpz/y1/5aN+TqKLI30N/+Lf8w1IG+kjYGZ9AXOeHGshVQMmuhmiMSAJ/nxW1JHkaLmD7foHA8FVuEJaBnK3XppbSGNnDzFkfUVzNntsLsA1WCkdsYRC4/BdAI9WoD/sD6B8gzzbmmSDOFgq+U4xCLniAPMz1XM4m2mJotORTOBFnQFYqchKgtaiGps/xRMItBQ66nyzSCMpT441KPHJ9PHPvR0ary5lFZ/4Stp6dlvwpgDo0LCMv3pj6aRJ6ayxbiq6BpYDEPHZFHxC01JxMsbu9eQjCAOpoNfZDKDjTLo8HloH+wY2g+GojiRHSSfY5L+BtHUDqyT7Q5QeY0FNzWhGJkFB2qbQM9vsRKGsyIcaCu7dBYFA6Ab7ADgNwkzIuk6aGkDBt4ApJHgqkLYAMDE8x+N2SHOhuym94PWL6PUdwzyRPHnAryJqz/3K2ln4hEq20pT50+ngcc53czOOdZmkcFHevLM+TT2mY+lzpMnwDrnU/t5Ue8tdI23E8QoXPxhgBEXJzF+C+g6XFi5mR47hZp0/2rqe/pkepv2SMqtMx47YDaSRA1QdVTIwERVr+Ybbn6FMHdkyb9l+m6FHa4JUAT0pGmxHlBweSOKKfuhz7XeBZiAP0M+jGcTWp41i5/9zLjy4sL3OEcWW0NSTYnNIh2RBNgkj9v0yTN/8DOphrRifX01VRdOp/7nXoQ0+ia6R2+nkQ+dg/RgN0cikr76EvocU2n3/fOp88UPUjKTZ/5U6tBHFXbdAYDaFjwShQwdFnoFAKTSniY922h0o5eG3sd2Oj9Lh1SBRgiQXmd+DMDuW91aTRdRYxiEz9cCpWly6tzdfAS9nmkAyqhMWdZLBYHDkKQWmATe8BcAxGBfU2zIo6yrYTdEsArgG/ogqrNvwS5Ex4N1MeFF4VdW07Xf/L3UePY76f3wfKZ/5KnUOkt/XLqVhpBirT/7RvrEyZNp5Pt+AJ2c4bT27TdTP0DzNMz8IRnOl26kSSiDuc9+NL39m99MS996OfV/46WM8cycO40k9om0c/6xtDZ2BgU0pFIAsSYbgpb6B0i/yQbQ4cSwiqeNrRvpQ+NLKA1inqI+kS4wdmtwLfqHmPOMItrYNICfgCOvVBcLkwWqkk+ACJA+29Ek83WYehMMdD8LuQOzbQUIWlWxhztF1ht30iPQensXlqGjl7kF7RHQXMSVLJh1JlGDvNrQ0IBsmF3QZtdvp6d/oAYNhvo3qtRDoHj9oKPVUUR1ExMMnvwRZPBrt9McFyNtkn4bgDMNQFmFubsMujfrhIJX8L6n3wc2gobht19MLyy8nVYRhV16/bX0e1ffTqN//CfS4KOn0hCX4jTsKLCIXQZaVPYOFy+dPs09qnt30hr6HjunEFuzOddHptONBrspKH/X5imop2IzukgpF1OfiQ99zW7dgW6WJJyArHP3VUGqn0mx1UBiwHcNMm0IkTCwSRiRmXVyyT0CLDppfdTYrLEg6+yO/aTZJY0W5Nq8X33jrfSjn/+hdAcJ2G989d+lc499IH3yRz+eNS/ffvW19No1dHteeSENf+gzaGU2uK1+Ml1AkjT9OvwO1PRnaPsPfASdBLaaLRckzPQWO80IZERDpTTGfhLmWxq5lRmCyx1ErbNMBYaq3YDRCI2jJEstP89xNOEj9SF6byIJa7IbDzIeVTAisc5VpAjjKkjBS9kBmxymzAaM3DbYTB31ABl7LcZgCzX66jggmbJ34a2IgdirgmmxYXwyMPFEbBUdB/VlPGm7QX5TH3wiDTx1lqsVIJHYjE4fO5Heh5h8/XdeSyuvXkqDH3siPf7Dn0gjA2+kf/fsb8E7ACj/HueKkKgMfeBJDqudpBJKc+DfMaAgQowmUIMmKvGpgGl5ALMDdiHQHJtFQZKzKCMddH+s5xyAxMqCUdXhZQgYVZuQvzIsRrLNGLBZ9MOfkn/SvIMaPZsXS5EyO2kOqLEChrCJyPaRR87QyZBJ5KdpVOcn+BCAqIqRLQDejTvphX/79XTz26+m7/vg0+n9P/FD6fmT/UiTNmAX7KbLly5yfqqdriChufQr/wrNcCRyKwoW9tIqa+krX/6HafnjZ9JHfvjTkILn0zNgdLcWFzIpWHnletp++2K6tvJWOva5H0rpoydTHexlSBMgMHT7yNcJKzAZAOO+vXw7PfHUKBtGV8lzax3AwzJVzWIAsrGfOQEAApA4kCySLmbixGdA9aSP8zkSMmZ/zQNNSlBA1LCh/9+Gz/EhOLsLnDysoD+g5fbrWO4eZuKcOnOKO1jhTkAv1gAgE+Q3DOQ+zSDcQBW3+Tb3lQLQKuvLGCJCxLeKzP/CAnyFsdT3+GOcWVHpiN0aZm8V3kRTDjS8gvMoWS1eWeKsCLyWJ87Bb1vLtPCjJ9CMfPpTnJd4X6px7mHk966kxW+8gA7CBbRKEaWieeg9fQtgE/2TiMrYbHbhMeyg6dpBCW8VjALmNGJhNiDy3kErtJ+dK9vTYGFrkEcdEzm34CUAE4Ao7a3AN1JreBfV8THcdYw1KfUaAkMbI98WOiVDoL9O2vWMzaCtCCCSGz4IlreNzk4HEegwaaGCofBYeMzaUUSbx+HzPPLYPDo10Oy//BXE6xPp0f/kp9IrALALoPwf+JE/kDb+9j9KL7zwQnrfH/w4vA2OAXzscZjfSMR+4zmM2dSwGb6Xjqncx6Tqf/LRNMbutQQPYg2+xDok7C4rfBeSDUYMZCsq1hBbyMSyuoDCb89nqGItBlGlzbv2V0bhVTxDGVARKZig288mzOjHwOSuAkxkDM6waSgpG6H9NSbkJvnvwhuQxVlRKUqJEwDOJ59wBQPKxoFY1JKRHjqz3DYLtI/0LUSYx8+dSW+hxHYR0mcSpv8t+n2WjW2CseosgyEwsCM/9OFUPf9I6v/6ZJpb5BbCNy6lzq98J3W+cT31fQkzhOcfhU+DFrIbnG1lxnvqGmiJBJGyrRAAZY92NmiLwI1JDJBEy5V5vAi9V1fyA7BxwWVzF2B5HjMYoq/MqjkG5jM3mc+mDaFS34emdY3+O47h8sWbt8BMd9LsE2e5PgKVe27GW0Zq2AADRh8VpVzQwm9dS1fQEn/p4rV08vs/lKZ+8sfSLSQ1N29eQQF1Nq3Pj6ZvYcz6qU8/icoFbUTSMg0P6FEUAD1ftb0M9gfgaqHT02BsX7vxVqpMgE1+8pk08Hl0k9BZGnjrSrr0q/8yTcEcX0JfakkMCsWfYeawc7qN9HRvAIwLrKvGQc8+dLAafZtQBJtIsiZynykd1Jqf57gyMFFUKE/ATtG2QZZ42J98ezo3W7RioAeZiOBpZIKiFTyC269fTsvPvYJU51Q6BRq3efFyevn5F1IfYuDBM4iN2XUnUGlvXV/hIvDhNAkKPwxDcu7YXFq4fCNtooRz4olT0LnjaAuup6+Dfi0zWA0mzDAc5hOnHk2vvfpq2nv9Unr0g2fg2wynk5fW0rXXroG9YOj40UcgpUbTV3/5X6ZvAGg+9blPpfoTx9MoaN3wsS34J9B7SExY86BgGr0BIDgBXDtSEwCIbfI7jg5MvX4SrU0EBe4m60xUANDKAso9MKhk4RC9C0hcUHQgErc8mdqgyzXUvvvgXYwBgaV915FsTLoQIAHUvu2fgDHLzrMJWr8rQ5TdjO7OYr4q4eu3MdLMblmVpEKEvQsw2YPfMIcOyChiwAbkzCxShCoo+g3OQLw8gr0R8ry6tJm+8IOfSV/+v15OL770cvrAJz+envjoh9NHzjyVbnz1d0Cz1tICjEsn5YtvvphO/+SPpLlPfYKVAECALzEA3b6zAsYH2j04D8YJfT+PFTHI9gwcKkiCKjS0dvcobp05wLKg++hHJpuYhPoaKlRNIllqwggfWkSCA7C+Bdkwzliv3roD1ogiIWSgk3qcxe5J8WEwgEEmu5oGKu6I9anj5Pxz8WpvpC3pAaY3BN9l/JFWuvVvNtMk5NrM8KPUFb0XANJMZTgtX7+cb9ubneE6V+rwBlKPk2xKz/yBL6RRxKcDV5AmvnQ1feW559lcLqXx4xg5mqFdjF0fWJPz3CMCGROXJ0S7GjBCNW2xyyHRUezcwEml3ZDWbDYTiOC3lsGuKWsSiYoasOiHs6CZG0wUNbIRb6SpD5zPJMqHIUcer5yBzzKUplCkvPzKBTBBRLxnZuGhoccB8KhsryJ52wMT4kwXUtDmsy+n5jdeTH/oiz+YTvzA0zD26+n6tVvpKfWkMcp0Awviz/yHX0xzKBlOMscnYeYOiQq9eStd/FdsPOi1nPlTfzS9PLGKiLgvvfJ7v+sMTudGP5NmT55I9bmp1LiF+Bi+5kk2xzbYZQteYx/jWeFIQxXgpOhcPh7QIs2gorF58600cQoNdkTUrT6wWQWdrANWF/0Hx0lA4uOYipmwVvKPuWI2LAYmHnG06j5Ag1pIL1oMwpmPfiQN3MHmw7/87fTRD3ww1ZF3v3nh5dS6vZ5Gv+98WpwDotFhI28tpNtfez7NP/lkGp6fT7chjWYefSwNvHEjXfnXv5dOIlqsDKM9euF6at6G3Pnw+9PiPCI0ynjfBz+alr/xWmqggzB5YxU9Bm7Ze+4CJyqX0vgnnkwXYO7WwIKGhznv8Mq1NPX1K2nyKlCZ8yGLKPGsQ79OnH80bY9zcRT1R3jFmSJEs0wQz+vM0lknm/AeWCIji5X0JJjJJRbSMqTAILu3nIwq7xB6dBSTjn/sGWxaYB8AgW1+fUzaEZTyWjAzdxFxdwQcqCOPg4Vdf/Ny2oB31GHS9LGIdlqcxaAuDXawdeji2WnOOAjw2NGHILNax2qIcGXOYsUdnYYB9FI8c7JCHQbAZIbZfS+CybRZ9OfR7zgFVpde5nQp/I+3qdcmAPXaCxfTkzPzaf3HnobXNJLmFzbS2vNvptO/8vU097scoz//RFoaY5EyC3Y4fzMEgD83weLkUnLoNi435EwUQHWVuVCHxB0EKGrDpCKFyiTRhAFYLRNDdQFIMSbdJu78k4+nq4iyb339O2mGM1Z7lL0KlrqKXoOHL2fOnGbmkZ5ddBdJ0xDm4Edh6t2kQz1bpW0TlfkEJpI/DQDRFmTNMjv9Nrj0zAxKUpiEeOObL6VPnziNdjXqBzeX0jzz5NWXLqVVNrPBDz6G3hF9q5Ywm8apH/7BtAKGcOLcDFIJRu8lxKMAiT2As+RHlQ2uDsD2jFVTzVAw0BqkhqYOvaJC27PnxhB53LzMohi3gzl+4XrlKEd9Np1ASthB3aHCPNxg4agFu85udA2AVIHPcAyls+Vf/1Za+dVvpbm3uJOXubL41sXUz1yfe/p8WqJDt/u4wxklxfTtt9IJ1CMmf/ApjmNcSv0vv5Keur2W5r/5Rtp6+a30VhuLf7Rptj6ZLnP6+o2PzKQT6NtsnEb0zNmdPQDbKY5lHOdw35tQCcubd9CwbqWraF9vgt0fq6OP8wIHZiuvp/lHwBBXucYDAJYmAMAov1Xmj2XltRYkdgXSS7K2BrbVBoPaZJ6JXZ7hyo/xTdLAS+m7gASKKcNUSbsquMFThUAEnQOeiJkIPAQtApR43Bn6gHg7QKcatH2TiaUG5GkmzA4L/LVfezZ1Xvg2KgVrAAo0Nj/1/nTqRz6TLgO9NQEwCA23/PyFdPbYmTT16Bh8ij50Qb4fDn07PYcI7/XffTafA6jAhZ543+Pp7Be/mBowJF9auJXOQip95md+Oj37K7+aXvrN3wK7gQS6vJqOP/N0OvOlL6UL0O9b7ApPfvITDOq30nOvvpEab7ySJ/yEAObpD6TRc4+lZUSYDbdAJp474h56AG2g5TSk2i/+2b+WPsCE+9YiC+atbqvHpmHMoZFZhwsGwUO/QA4AcOyc7n0jYnL0BZKJ1hy2LaamUvONxTR8cSE9xgJpsBPMAhB+A81PUJy0deoYABP9jeXVdAw0ugUTbo3fCJjeFlKbpUuX0geWW+kkDOGRKRhz7FRLcPoX4Ts8/nF0VAASV1pfTbPoTzyKmcusp4NI8wywZA1G3LFjM9zCMJtu3ViAIceCHnkr1f/QD7DoARaq5p+aT5tDXD4N43EL/YehuWNMbIAYmEIV5aylC2+lf/6//XUu4k7pFQDqcXYceMaQrzeZHu4q4CCQXGIpijvpQRYaaC29oEmJnXUw1SdQ7f76s2ntt383fQhMszU7mb79rW+kxjUUFM/DDEeviLmXNt+8lK7BB+qAps+9/7HMWBfxCfJGs6ECkTV4WmuQbRX67yoKaU+deCx98id+LP3yr/9a+iY775Nnz6fHYTy+/fy30sWLHGNAraBx7gTkK1gxAGIFkfvr9e8wByAlGjdT35s3mJ9b6dzZk2nyzMm0BgCpK3pFKpA3SzRfPWvVx+QH7wJTQi0BANe8upl+6f/++XS2cTFb7q/cQi8SgDVyGqVGFDBVUAT8A/jddFg78DtQ0WSTQZmMuffJn/2Z9Ma/+I308td/B6yMnZ6Lvo89/Wh69Kd/NN1RcQ3R9+Zr1B9gMnkGLO/pc+kqgG6LIx5PHJ9ISxhvvoNYuM0ZNDfzpTcupq05dFGHn4RkHEkvcaH83NzxDLBvglGL4t1GUe46jNzrJyfT0uBO1mh+4tM/mF65upZep//vXL+TFi5d48aO2XT2x34sVZ56fzZsvkn/1FmfI4NgYsy9TfhdFTYU+WBwy9PezXb6hf/jb3hjKnwbSGos019ik+mbgTUviSY2ot0SxZn90PquGP/tEOhFRVvQuehi50nVBKLL4W2CB1+n4Ikf+mh6/2c+ku7AcK3AsHyM3ajDDnGNxdRiBxjFVsa54+fS8geRLDD1OE2eyZPvwGRqfOGZdObHn0krF99Kc0C9EXZaTyh2mAybAKGVk3PItRvp+CfOpbn3/XHUmjlzQiNmvO8W/ZTLnLDcZMJpUnHk9Ik0+Ye/ALPuE2kRzjgAFZXmUZiM4/BIAJag67tMHJDPLG4bgB8yBPk1iF7A2cZ8GoauPt0/wwHFG+mGEx4x9DHU+Jeam4g4ta0BcxigotxflfQ9Zv8eUoYtyJJL2C859dlPpI2X/3W68Hf+3/Thn/oJ6Jd6ev65b2IrBOj/vjNp90muzoBBW4cP8tzf+QfpCz/wufTYI4/AkEZP5bMfS2/BZN7+e7+QvvDZL4J+T6avPPvb7LoLaez7P5Bu0Z8tdvOZz35/WvmdV1Prr/1y+tSHwAqRvFy/cCG98sor6cQXP5ZOz53hABdMYi7UXngVRuS/fi499eGnQdM304vf+DaYEVgZ5OgQvKghsI02C2FmeDYtgBFN1qdTE5HUKADtA8dOpl9YuAEpAptgTL4C11uwuOvDk7BV0LdBerULLS1/pQpw3uFMzDDY1jqH+R7/oz+JtOnN9G9/5dfSKhuPNPrs00+kp7/0eey3sJBQAT+PDs9zv/tiqn/mfWl+5OnMm6shCm+Rnwp9qyyGdc557Z2eTUvMowV4WXWYoFfZfUfPnkqf/vzn04UXX0vPf+0bnMtiPGHAz6HIdwpx6Z0zWNnHb/bHPp1GvvZCuvLCK2kBksIjBdMcQfjgj/5w2n5iPl1GLr+q+B1G8BxnnkCuYJgKCMA+IevzoVH8xtlwxjnYV1vEYv8m5jA4k9SCF3SKudpE1DcC6r/N5qG0M9uDwdyEh1nFqlfQjN4GULQ/+8E08cwjGN1agYTg7A5ChV022t/hRjxwGox4j6XzH/l8uv4cEhSED3scKKx/Zi7Nfexz8FiQgLKRgBNBIQDgmMCjbEYeD1ngXIz8m+rUZFoA664CBIZh/FNsOvPH/oM0B9B/gx9Fso77062zs+n4n/mj2FeB94gC4DPkw8GbtA3AuYUUZx1smb2HzQXsVEyU9VoVqINNe9J8pH8sTbURYy1xZIHL7fcqbJAbl4kFnKH9ChsGOnSYZg497Oc/Off90KrSw/zJrvRQNk2AS5eD+qAGX+UMCb8tULdNIGyNg117dNQG4mAvH/JqCy9zWoR/oMGVBKBZZvFvUrElFvgSTNlB6PbRcyezSA2WJSg1vAuutvD6gxVEpg06rQPG0s+5oMo2jCk60wuh+lB9X4fxyeYJDYvkAHcNu3ZbExzh9hAagKyGweMxGL2rMM06DK6kGf2aUVmyz53mPbPoknMQCvBK3dkgYX9xeJafh/v6UdRqopRkCdrpyKxrwty5BliQ2vW8jP+582fSWRb71m++kL79VcTTAJFVJA3DHzyXnvzSF/NBsDtoOFbBxsbhT+xyDqd2/HSaffx8ugHDa/qTH02dr72evvJvvkrZDAyLafrjTwFAPpxuUI8JtGtHP/kR2sokfeHt9Oz/9zXUudG/gZlz8gufTOmpR1IdPtEYTML6x1O6CuF+EUbd1Su/niVEw+jLnP6+x1N65jEY5+hRMN5tyVX0VhoAxRr0dg1SqbaDXZlrGt+xn+gjxmgTRmMbvpFasyq1dtAA1ujzrjZx4TPU1XjiuzEyx2Qe5kzNo+lpFlobtLcNxteeYmNiV12GiaqS1tnTp9KHnkITdn4WRStIGDC4UbQvVflfQhpUA5N65ic+n3WIdhS3ozbfYTw1JjU2OJZOwaycACPpA7usQ6op4m/NcrhvfhjNWwbWjQRe2rkqerlPfQRgo7UNMA4wwzZY4K15TCYAWOkCgAw8G8rPJgwY4w4o/TYMtmxiAWYkEx2SiBVGv4/XZ5iLHIxkhC7D32JS0icCwe6ZJarJ2vEkNVgrZNou/dQCYC3CEFXajxovGH8bBj1YPozkFaQ9u2A+u5D5dbi/d8DGd2fAFlkjgPK0QN8rym6DZdmmOnWBR4tyHfXJZCD9SnO1K+O69UzXjkIQ1pfzX0mV7agxvi7lFTaGXUhmAdkg5HNF2pJxvUk9GgAtbfEOqTJB5GwwDbdDHoOsAS0xLmHcaYD1NLg+CpD1bFZ3vVC1XE+WBJQIGMhuAVDsEPUGQrpjRfCiI2SMCV3UFICehaZVlKbFslksTqHkSOdQMaQYLQATvQ0QqQNBEZ2dO54qnKlYmUH9F50DLZVlW5XQpHVowAokSIvOb9KgbTpgkwFBzYuOYTHTgSMVmI9wpSmSsiEt8F9xQdCCETrXnUXFujqAZASyTAv5mwDEBvXbBJNog3VpxMfj93UaA5sToIQWLP0sjdthVNZRhFOKISBZRrdgEfGbquc0kEkGak8/MVsAIvKVUDSDC5tvPmM3acxi3OiPgAl97DEYcyuggTDETpxIM4+fS4vYFtmGoTWMYtCJR6ZS/7lzmZ/wJsCvgzh9GmB89oc+k/Y+9NG0CuOtHwxmHBS5Hxp28xhicrVAOcqwcX4+DVLO6KeeTitgKk0GeQhGZ2UKKRU2XBbZGbTwPo/05zjxhrCxsg32CI2axsinCqP6Ir13eRvRPUyPUe2iVL2gXf0RrLgx4dsw1vrZiSc5Q0JXpdscPFtHr6RJP+4A0B0fdYDcBbVlWqGfN1B0ElvbpZ9GWTjHn0AxDnJIwN0CEDZZZXdo/w5KcnUm4RKHFxfRCt1jF9V49gAL0o1sl77eZm7cQVo0DFk0wvF+DQBJEsrjuAGzdZt6V9BXag9P5/mZDTZT722wx+sspHX4SaNsYjtiEPBYNBC+iqatZ5CqLOw9MPAGUocO2JjAcQ/MsgPWmk1+ko97S1PMk/a2YUbusmHIhFxHXHp5E+1PNjaxW3oAo04AOjaoe1e1OHeyhJB+Yf5W0VwdoR+qAA/WJGJjtyokNvxtgBVoDrTjBgU5sgbvZOnDaHMjkRyYBOujvZP0lcf/m2AHzu8ptDwFJpJkDQCOZ6NgzOAPQAS43MbSnBKpbdYS4B2lPNcgY0Zi5VGCHAUOVZTgYK2kDfq/RX8sk58H+UYhbYdpnDxUsSB5uQLhNfRghjEgtgti0A+5AzHIGgbIwSca8rwbEsu8lgUmYiVeMJWvzRRdYqEwxvwEHWAkAgYqwdyhboTxT8i7za4g+shpKNYbnUdnZfP9MB6zPU0WvJC5cRwkrXYSQhyrVKCtHS4KkfutDdg+Gr4NQIEZnRf6Hn6a8mk4OSlbK2EdgEWbQeyw07WIP4iko8li3c7MIZEx6sECN698EpUdJdvLuAsEW2I31NXrECsAhK4tTDEwqs65lGtDLP6ZrbQxOsFiA5CYjo6uwN1OkFINGHFef0BPIKomHf0l3kYvyINEkWc3vYry0iJanpOPI3LeQ9sIEsrTmJexDDYD6aYRnz6UoBahl1cZpEl2yApMr1soO7FZARhZTDCwB+c5XU2XbkKuLMKjaQCIxpC4LGAb5Db6OmPDaDa+7wT06Sx9AvOTtq4zZjuId9t53ACyMHqrYG3tPuhcAEkLZvA6WsRaE1tlQcqbUirmae51du0RMMa1O1dSk/P1tyhnTUNLtIu5jIi/CxBaYECK/pv0vddg5kVM+qxcRj9p28RrTTad1ABlJ38LJcGmcwMS1hO405JXsJ1uoObe5ODbxOmTaXhmhg7kFC8MQi8FG0LPYYW238YMgz2uDtQwkrI2G00DHg3a6MRj4wFt8jhetgIPdgNnjjkJmcbiGGX+dQB61zjt3QAQbjrnWJAiGhX6CqVtpjH0Pju+0qod+rGFiEaARoPEQc2Z/AQsu/BZllL9Mcwzrsgn6083vwNAQKN0m5W7zHiOjE0zl5gdLJq2dQMYSmYPshrlMWlESwxIcwcZHQKTACIw/wFu1KOCmn2bg6XDKJBVIXFVrZcJPQKzvQnWLfZLdagPC1ckiXZ4dkY+U16nlFUzPmOjEqmbvmtVUyGGUwBrizkM6UIWeS0IkOjxDLx32GjdhLS9XKO+YohAeGafWA4AjE28xtpj0mAeciXtzYMdg2VvAEy+w9h5ZqdC/yqeyDyT3HkktmxmWbeSfPhN0/NjhwlK6Br83K2dTGA1FN5h11qiUdojFdqPMrk9Xi8gWmPnX4cgHWDh7kLy1KFNnCAdIIh6Gpsw2QboQNWbvQLSg5oa9B1hcWhacQgVdG3JrqKqXaFD5kC5+ukcDb3o32R38KSmk1IDuWr0unNWgNwese8wcBqjxisvBG8grAsQINE6g1vpZ/7Kf8qiw/TB+nD6J5f/d6xaAbUH2PEpfxXR6yCH1xgW+sKjA8JqMTe1PuGhkP8p+A6rnNPxFOkik2wHAKAIugo2JVmS1ZuZSnAe0LZl5z0+kmbQeakBvPrX0EFBnLkBt3wdhT6u8E3HIVHGQZ130b9osavVACB1IIzSBelnMbtBdnl3qgoKXbepR4XzIFMsjD4mxCaonMpoWZGKME0t9sE3qTFONfI8BiBpMys3oO93wIK215bSiZl2+un/4WdBJsHLtqfSly/+Vezl0i2QJe6ySn46YBgtFPE0HlRnnPvQP9Fo1B4MxyrfI+yE7mpuGE5quDfEqWKVD+BGu/uZEyr5rc0h5eDe3vGT2LqBGaz+jkzhGmTIEJhsQyAEuj3EJPZUMRCcOrD7QvbuMMk1sNxkXilyV6yuSUHv2a2uMjcBFI51h517GYXJLehZFe28U1mzlh6N2COvMcZlnmtMxDY30TVqQMqqQ+Ihzl3Qd7JgrOnHfvhDHAT9if/qxzlR/gxjOZT+6mt/mwU5hfh3IM3MTSPdpJ/cmShDmywu+gprg4VC2ZB/zBfZE7u0XfOWmehiwXuHMjOfTdx5Du+EVTnA3dcNdWpgdsNFBPBBZjKPYT3mGxXZy/KadDIL+wQWGyjiDAI4jsGQlLfh7SyKuA0TIxpijPLpdOa92Ma6gII8qQoRkVruovJPuytQF95TJfZkOd4FLfCSxNtEAU4dq9b4VvrEn/sSm2wzfXhwOv0/f/p/St++STZgla4MtkwqJrhwtfFfcGFF/NFFhPFPAIO//2xEPtLO5LTAPoBBl1SiA6hF9wJtaqFID6jfYXdXfKiafAe0dRdak5WYyQ2mITt4dwD6KdAzH0J4mWA1GSIsSplQLTpf0sm9QdVu+osDiNQO4CEYdhcRMmZal10y11aoT4oM1IiTr0okxDwySKDdmxwLXxm9yhWHHFUfmk432TmRCHtVDvwWJxWACnRV2lisS0tjGTV160UjtsIs2byFqAwUn3lDv8NDok4qL01S7xHo+xXOR8itGYafM332DOQGGreg4U1IlRZajhc4vTmk0hfAZQsm9hILa5AFRndxLoVj7EtoMEDraku1QX+ynwEIqSATzBPcA4ii26CuTQDLLgBa5twAZFKVcdE+R0UNZTCQPrAS1R9aiMsZGvp1ECt3oNZMxO2dizDO2at2boDF9KWLNA8YnaYAJi5UAbSLco/dnn2RogEQAJM+ductJqQ7Yw3egptSg513nU73PmJ1e1Zp4ygDtA1QaDD+SxytgLYDMBJvhUNoklvsfK7HpjZkafc0ynkCpgaKeZrf3GMBNPN5HUYOoKr5yUzXO/aOC+3qRzmwwu6cxcrMSwxRACS6mKtYt+J4tWg1zyh10WLXb6htPMvAgd0MofA1iLW9NmSe9nnbqM9Xuc1+aedmOvsEE4zj/EyedIOy9qoYXsI63wYi7kEwT5eSezOsW0rtkvDyLMSuZYiKyYrFe9+2gEoeZBug1s8c8SyOnlUxCCafs1csRuuDklgueP2yxMn2Ut3uvHaWM7a0p0J71aLNfQiAFAhgB5rNhXL55ZsnaL/YK4WztlnJ1EEDolXOKlVBQ1WZ3KEOfYxxTk/95cnUVVpjbED8EIgAOc7JCMCEJ9jUC7dpG5iJCMUu+WfRsHYvBCr++Nv9WTk/7n4LXAQkNsROAmnIHVNRD4PJIoqkvYuqaBzPFi3TVCOmMuAhdOk4zzpsogbdYdHVEFNOSIOyALpAAM1UdiWv/hSian1+l11amXc/i5n1Stnd8gV/g0yECq2W1OiHtnWwMpggvZDVqw+1ql13t6EuLKW8M27khc+krDOZhjGKNLUAJ3+Btoh7ABdI24+qfj+2RYc54erpMxXTvB5D7GAPkL7LryJr3V2O3pTMGkBS4+EwNUxFlftgQm5xqZV2InbgXTQR9dkzjelRVPfZEWj3zOQMu/MGuzJlkJ96Ik14KSOinmivTth3kIWrTPxFZssOUG6Sdg3yvcoetw1G5nkZr/wYo4+0Du9BOjG6TXgZa5y70b7sICjpCMxZ6Xe6ijgAc4DkINiJ9lV2ORu1NrwAnwCdB2/rO8vYXgSYoXA2AsAcAI1tseD64SX1w5+RpPU2O6/+GIFRKHCHK5Pnxw7zQVOd9BRlQQ7T9x7W1LYuQwpgYK+mjztohU7CR1ISIFaiTs0ufsO2g/mkpa8++qjOIU4t6TWQtjhh1XXxbpkheCP25xblyw8D/KE34mKgDyh9GGCPpJ0FxXxy/ACIe+Qn1jzImO4AbNdRLWiCjSkG9moPLe6398YzGSF2U6eXhzAitFm/yalydFRccKzvISb15B4Ma9eH9aQ8sa+qmCB1U3DgPBPzdq1YZ81Fyvg3jUzaLX4se/h8+PPTHq3q9H1MwH42hy2Y+JqbZIcAe9CQFgCFPvVEsuSdfnSneARYGhgKe3S+6I38xVBWIEutXg0ekRv0VoY28KPIx9siJXtZQAAKToiDcanDsiO2RN6SkQ3qbwlbzONjKE5WADJVLi66M/o2eMcV+M9Irk6ynoUtGTDI/zJPvoVUjERuvNUQeqoZSC6E4pK1iVz4olHUtwvh2DmcXNq99HAQwXlhVuCW1gRnLBBgRz4gqN1NsYhtxH2aKBhm4sPXYQAtgclHmFqHVfLZg9/i9tiBtPFxh8wXZDMp5ckocXKAutIneBxMXGlQ9QTu2SwhXRf0Se26c8BfYODkUmd6G7cB2r6GQtAAkNbqKjHalesLOTGKok/DSrFYO6zCimggHWYnO0nspyGkKnCxWQgMNgtCTKpfVXyYhQPYerkDA3WQidlh526AeXRghO5BV+9l9N2JA7Bgh0OZPUtPKugtCFS2GKURZfkMdEZb6UM1RBtogG5zAI81lwYRPYInUyXqRzW1r2p/KOYfQtzXj8pzGwAnENmjjtug0O7ko1jjNy/tfwwweQcR26om30TJ6crtK3k3dV7U0DfoA6DL80Frnr6hfQB8FyvrMo9Zm75yg9lhyxSDqTHGrLeMrYIosItD+8OUv8OJ8Gy0GfLFLm1iUX4YwNvmcKOHKMViPP3t/NmCHHYHnuZk8IYGqsFimgAS7Y3UmAdZwQ3ULc9PGKXyPTbphxbh7qYCMjqDuvAOwByQlBaSgeordXRVN0i3BWN1m/pX+e1g61aphZI74A18Fxi1YKISjNuQrwNILHfYMEGaMJtBFm4gFuOsonyqTd2Zh9SPKvANVk5f2zY6P4fLe5NsBDegzki82PgGATh91EcJW5N14Yl8pUtrYHHqwbg482ZFeWIiNJO85MPwTV6Zt0mBMl/7WJRuxK4lAQyviHcNcBz4MI3sBAJcc9ajwviKBTkmoiAkI519atlsUkiefJaXb6MDtQPLAm7gIJxNznCxT2c20B6J2SoA53R6EwZYC064AGYXaLjlzsIurATFu1/cEQzLgMQqupvQUXvk5hWDTjzV7nOXURt5C04AXa+scIfapDP2IBuGZGeTRx1uuLSvE8L0LndtjIq2+XQAFOACKM0IJNjriaNiE8sh12mPlQ92TVp2WzvYvOzkzPDDn0wdTCATqCQTCDR/kIF1ALJRZepRY7CG2rPQ5ixC5OZ2sHn2A8Xb2DppYWmtA8Dbpi1MDfqW8xnkiT4PZXbzWt9ZYwCA8OyK2ARjsBlIFlqHnbypxitV8LoFGWfyk3bXQKmtJyO6iTTHPqrzTk/nejGL6Qnayu7kAC+g0+HE8Da7NhhJxtC0fcHE2YW04Y2Mocepe77xnnq2wSAcMMGdN993GE/7eBBA57MLoBT97kOTtkk/NrEDW+E3iN2YR6fPoiT1W5x3YfdEB2ObsgY4m+Ex51H4CcPMB8m2Frywlkx0ymGzS6uIiiWHbb8/d0eN6gyKxREuXw3vDNRIjrIXAMx5wHi5QrSjIxlCtThSwJwhrzXMVbjQ3GDGxSyYrpLDeYcmYr7c3h3flkLSCUycA84m266UUqXLPA+opNKXFmRcrgfzTOZwu/8YABV+h0cMIM00nL4Ns3ynskI/Ys+EdUHlud7lZFrCFKMiYE5OYFoA05YAoQE0ltlFiQvQJ0/FvUq8AJP5EKQAtpKxZfJmQ6ILrBkYCXOScbUyjA4+Au/h3JeqYVQArPniOseR9oNI5icjFGbi+OvkDqO/icf/u/mDDbm7+DC/9ER3jcdeYX+nXOParnYHSSSbcx/zVfUHLQlqLxbLR1AfYKRgkp0dlFERpGxuvIk92Hk2ArDpKgaqoPxQfqXd8Hs4EMrFYVSWjDOBQ2KHIdNAYgfOwLvVo6qEWX0f0jAhXJgsvW4U3rvQzWB2Dxad7c+NJL6Ty3cXg49xtZ3SheM00rLEXIjT7Rhb6zzrlumEtI72kUyuXC5/fct56wo8usnudbRhcQuc0zF3onVjhY5id2P+DnouTOb1TQwwUdRt5o52ODWo3EIBrs5R6z3ItdC/kTPfzcPCyZtJoTq2NVFCkssnQu6LPE0I4lEC5sNG1H1Ia3rztQ35yXX3q+vj7tyU7uJxEoO58hAGJmIf5bmY+6cbx7b2Pmw2xfNOuHlb1yYKTPNMjOplFiyi4i0kUWcJ24TB6yE3iAT+gZk44cDQnI7uxi3GS2wBwoK+VgTZHbdcGHWzKu6e3eXDvL3bLDcEw6ImUWW/7TPbZRPvhZshHwLF7mN5xLX+PHn+EkEAYzqfnEf3FV/HxSBHn/Za4N1yJKcGufq0D7Rf2zwwlnK40h35H2IZs1xpsXdhFbKXet/CMqD7klgngGkQyZlqA9r0sZ/EYLM+FuWw3+cfNc31UdwMyLpbK/vm7kLAxxmQKQOrBiBxntObub4msN4BG/wwF2Plx8YZ4R0nv8MLznmKifqIWfrcjXr3w/VuR9I76BPljso+aPSKdhDmsmyC0W4tY+UPtGzo8goHSB9hIxzjTA/cE8icXTZDpUj5bI4NOegXA9PrWpvw6303r2zAGLcNWvxePZZn3mW5h+Ud8Xpd8/CZ2BpOv/Rf/kOAyGba4DKjyndoE33bmZD5BZOQnvd2QplgA+zm7pCSBwKnLkkF8Lg3pg5T9ynrGGVF2MO6kT7abvry/aj8ou3Gi7wiTZVdaxpR7siNtfS1n/8XoBeQW5OIremHfCJ6ghPbYDX9YonMKm2NtOwP+kimeL60iXen/rt5yjqaT3xHO+O7DCvLOyq8jBt5mEZe3wQAwPM6HbARL+p2MWtND1koGp8YJse+7Vd+7tcwmXmDjRxS9RWwRfh1O2OXMgnUJ23MgjU/GcPx2Ne9/R1hR7nmVbbpsPiHxTssLOfJJriHJAvCn0EEo2XnkcTSho8Xy+3BmK3ClzuGxHIKsnkY+7z/5m/9ImYW1rhmA/UE5wm8LKU8rvP7gIkFRAdEZ+SLm2jcYY+VLuMFIIm8DksbA2Ae8TP+QR3R628Z+6XrLds4pZ/vI2i/nrgxjkFjuAAwN09TLodoOcuR+dyQN/A7kLz0KxWRwUZ4zoPdCOSdOXRXPJqhu7V+5ynLese3+1a24bB4xo7+8T3ShVv6+X7UU6azXFmYjY076azo/kXMRHD/ycrKaHoS9b1n2QNakhmgve7+zgAxByVEWeeBXVtyLtMwTsYDnrLMA6Jk79548R2ukfZ738+vjGu4bS3j5QL5o97JEICgDWa6ATNWnY4sIpaERTigcaupymTqf525Apm5Dv9JO0AgJNBpMMLR8G2qHEYeMf+jvKPGNeoQ8fern377+UfacMt4ET/Kj++Ie7+b6ZAMSPa0zZOJeUhXRtszW26cw+gsbSN1W8I+xwyXjk1dGk7nUBp8fhWLcWkhXQGhaaPtZjl3KbH7izjoKyoWrvG80tCOLAcsFoB+XdXcg3J8b/3LevkedSr9yxLV3p1LM1mL8BZCeJcEcwZIjQ4C9Os4zCemWp50cZm0xIWSrLacLmkvgbor7ZCnLD/ew41BPyh59KXhkab3/aC04R/pdC3vXpnsRC3uitaU4GyHu29gBqzekZQRTecU/RwW2d2tSSf52eZd841dAguUROhyCCCJ8h/UtX5R1940pX/5HvFKv/LdcL+jzWWY4+Z9xy2YoRs1mdPoQDGeXnGh5TU1unfuNNIjtXPpgxgEexUmJKd67s6TnXy9y+TocUqgL97Fc1D9HjbLsm1lngfnA5Mhk+aAD/k9zA2FE5JggzCjvVJ38c4KF7NxLmf0WDrVnEjbd4CkC/C4UH4Bp4W44zAgLBHhQFZas+CoSOke5F9WzkEyo5ikZZoy3kHvAWwOKrdcTOYR8SK/g76tj2ExiSK+btRVNevtQZR2Jug4TC2uXiZ/5gV8Kexhoo7OtDnGWRZFrSo0ucrkJ0m47YgKqyvAuxz13nLiu6yf7/EdrvU57Cnj7fde+h2VT8S9137ayi0F2EW5gxgSmySee8HQ8t71t2F0ezoW1XsYqOJhcgXUsdEVhAhyJPv6Ctp/v/KjzP3C9LMuvXHiO9wybenne/ltvPL7sHfDVBvfygAV5i/QU8laBXGQmrfqq7hHe65rGeb920voWEzBqAaYoJICsxuDyxxn2LvLy3Eex6Za1vdB33vrGt/hHpRPb3h8R7/G937puye1oVMYVSW56o/J/8r8JcbF0dbGzRZSre31m2lacTW3+XlIdqp/Dh2ot0yZ+zyTORZ22M9KHFYhb/2KJyZpmV+EvRdu1CPcyDPKi+/S7Y1rHeNZH9pO3xx6Kc1yfmjv9G568bdZXIj+9sZE+ZT+IF5F5raLJXntn2h5yx1LxngTN18BocTJIaAfI+9wLafskyj3Ydwyr0hXltXbvohTusaJeOW74kRuWE+vL19IozPYsgVLWcPOCKQwymtdrcttyBolJR5SUwTqsQVF/LnNApM8ncrSHu69rFeZMvwP8nvQcOPt14fm62Xy2xhZaiG96CBOV6xd4yY/Ri2Lh7Xxe2VjKa3Mw2BeXE8T546l28/DdITU8dYEr9Csc57JxzLcVPerV45wwJ/D6vegeRnvQePeVw2xEjVf3UHRqqlghkF8g+bTNyqXoimN/c5xlAyBlJiCuJnac7e5xpdrUbj18hVlq8yTAKT3yJyyQvF+UAX1jwFqgSb6boa6/o5KXzYoMI/eNAeVXabtfT8ozUH+m2Al//k/+vNo/LyFnsJk+l9/92+BqdBvLJg9oHENK16qA/ahLq8oWD0Bz6B0JRMOgM87wKn7ff/f6Kccs+ibiBXtj+9et0zfG/aw3/ZDmZ/tuXrndjqP+YA/9Bf/RBZx7nJ1wt+89DLKYE4qxINiagDLTM6wcbC+8jmXfKpaVv+7BCZlGw4apzKO70fFOyo88lPkrtKf5NsgH5qJzBq1AJkGZ602PDF9spP+o7/0JxGl/QjH7++k8Rf+LtIuDjNyP9QO+jOcDLkr1ezm2jv/y/6Ocr9X7oO2O8rvkqugZAIVHvVZ1FTfhdRpoStl//Rx4n+Js2c7qN3Pn6+nT//ln2WeYOukMpX+9hvY3UXnBr2IfH4n56L9hpwZkDWkL0JZsQ47I345En+sdPwG1NLjiU7br0ER14UT4RE/XIFRxIs4uvvVQf8yr1yBnj+Rh+2xjCpnSKyr/vrZ5tXaarox+Dq6AldQKz/FYT9gR0a0usfbte6tTkmf+iEo0ck/UC/EBdQvn4hF5nqKNkQVomy/4710fY/vSLNf3PCL+KUbZdpvRz0Rt4xn/7VB0Udhpq3ucCJ2ngOPnFG6QN3WZsFKMJfgeawOfZWV4WAyyrDMms7gtp0BFA9pexbtE+YTbQpXv7Ls8A/X8IOeMp1x4jvS6sbvoDz0L/sn0upvfmrL9qE9q1YqljDz2a0mkh0XU5tDgtsDq2l5YBGtZfbtgYtIcNBTAXh00C5e4W6j4TqHWJkO2ewj9Ykn53133cRmEfU3TlnvXv8I1zWsrLN++z1lHoabJsrdL374ZZUKsE6fDEgYUI71Zcx7G1KmCSZaRxObmqA6AYbGodHlGY5/VDEFOcBRA4JA3lF36LI5upDA6HcrHq4F+ETDo8LxHY0M/27sd/LxuzeviLOfG/n1hplHlFHGCb/e+Pt9m87OFTBFHplhBN2rencVrpuq3KqLcCI8a05qJKaBhqjXOagj4jHrrj6LIjB2aICKeYnw29kP8hg/yn+Q+MbZr537+T1ofmU8dW0md8cwcwlNXOEqzvrtNPzIccTClAsG0l7HBi4Ax/MdWlwDljJxYLYx6TxS4BEET3gwQke262HbXdbzvXjfr3z5557dUunNYwOuK01xeneTtk12uXhqt8oxCPTh15pX2GhGuM4U1gnW5VY26SQYtB77YFi/67G8cpz2K79MdFR4Gfe9et9jHnslKhWFV6RyIZuFXGg5gSh7irF02FSGIHdOj0/DmL3MbQyee+I8D/fpaBJE1iE4XZcBWza4fI8KB4QrG+t7fJtmv3SmjziRV8Tr9Y/w0o04JcZiePj7Xu46fu/3WKZpSt6O8UzL7bNpYhmeNKc12xj0yOYK0W4c4KzIOHomd2C6akbQay32mFx9WAPDwgqTDhVsGI+emm1zqlnVrYOesr4HxTnMP/rssDgPGxZ1qsFsnMAMZF8b044CBM4SbXIIhvuUsLSPOjs2P4c8cwVdp+1XNUq7OzHrCOCqCnimsfME7NYi8i7rVPqV72Wc7+V7WWb5rgLhOKJdbb2O0Beylrc8+pDJN3hD6Be1p2DY7gAAQABJREFUVxc5wQ7Kiq1hLqDOdj9kSGOhFPWjbr+wGu6rvmXEvDOgLLN8j0SlX/ke4d8rV81yMUxNFKhg2Cfzmc2iypxWNC5wPT6IXRgACiryaItjPqPNndz9WKZfY85fZ61IJUkOsc7uYSYPUuGygyL+YZN9v/imK/3L9NGRpRsAQ7/4mSZ+AeyiPge5veWYl7fHjWwg2sPswAAWpM4BZS8zwdYRezU55r/NAZQKvAOBSR/q4ggK0YoEkDAI3gBnHh4h6J1MZR2ME0+8hxv+D+qa7mHT9ra7LMvJsoc5xHkMPPUDQBJ8gIl1NGBBXbGJg54JF3YBUJ1ganBK2EnRAEa7kg7GgW5wH8tPWbfy/W7wfXWP8LJ+Ee+9dKMc8+x991I12+ehOU+sS7aJYyrl8MK2GuoCJ2ocs7i0wElslAY4Z8V10BijYrPhhsspbjDY5C4ncjb7/JRl6FF+H/TeTXlw3Ah/r13JdCxPsVFA49HwbFGRQ19ZIZMwx30HjL0f8wb2xxxGtAe4LTIhJq9x/OJjcyk9fwUYy9GTLM2JCkZDww3/crDL9wiP+IeFRdyIE2n0L9/3+46078a1XIGSpI3AxzJz45EH/uJ/8+V0jHtrtkdn0uWXEYdS0AYHiDwvMTyFsV90EMRK6FbIIFyBA7POS8K7ajp3Z+AhFext4yFRvyso6mse8SsjRZ+Wfke9R30AyWAfMBJvbKV/9vP/JPMOFmnexguo07PjbHGhez8nxCr8tCPqJPN4PrJTphqTLmMkLr/7xzHyL+tR+pXvZZzv5XtZZvkOmBR6wHCEj+Y8oZ1ei8mx4mzoagBr7L/65V/Hch1mB1hzi28hzYFtu83NgnduLWIu02ON3afMt3w3tPwu3+8mPTI84r2XLrM4H8KldnQBbAAwMvQ12Sg0e8B8B+Nmv+EWgSkwNCwDcKvDr/78L2KHh7u+YR698RzdBN8EqziZB3mfnomN3K+hNuCgSdsbP7578zJ9hEWH+H1YvpFHpCvjhl+4keeDuJHvACLf2a3TaXRpEUbrFEaoF7PZxgao/QanWZH8QTva0dCTGZDwDZ2saYSdvLhAienyw+pQhpXvD1LP3jiRPtze8P2+o88ijW68y0y+wzWXjw5izPsG55QwRrPbHk5nsNfxGijtppcwITb1gCYn5uAhAFh5FZ9lGgJgXSRd4BxlR95+l+8HhUf9Ivy9dnvrUH6riKdpCdXINV7EJ2eA0B3SYDhM98HOOPcVPZa+eQEMFkDCFEjHaPsiSm1j2CGeQi9HOynu6vGU+Ydf6Zbh5XvEKf3K9wh/L12Nh/Vry0QEhXbs0heavM3njZjZYqLe2rnHYVeOqmGWE8zkUh83LCDp2Z1JT1WupK+xRtyY3fQOBCbRkBjs+LYxvsd3uNHI3rBIb3i8l2l87/Uvw62k4RFHN8ow7EEe40fcyFtMpYal9MYGjKQtFJSwdOWc0PTPHrfHDWBhXoUtAUk+Tcni8ii+5xU8nt1mstELpNEqJoEHPFHeAcFHeke7jVi+H5nwiAjWy4W0yengvYGJNNk5nyaQUCxp8AnD0rucWh7BkHWbU7ceatsFmGj6UimipiD66ANPUPfB4Zfw8SnbWr7nwAcIj3jfK7esk+/qITY5pKbyYge7tJh+SRMACi8dQ+jLeSyst69gTnLnbDqNRrS2R9rt61iSYR5w7wwiwHyq+UHr21t+b7qjwnvjv9vvfjbFGhhYH7f17XBGp0UftLBT0mZ8s8EzwEltBvs7WuXjyMk6FuCO7UynkzvjGAifwGTolbxmXEtKSsHau4Ch142Kugj99Yb7fZC/aSN+5LOfaxyfcHvf4zvCXUyxoB4kf9P7GFcGrBA0JDqSPBWsdzUxTLozAX8Euk87L5ow0iA1QBsDNXBjraMwS4Ia0sateVdgwtmFtjYf8v6M8z16os26Dlq4vvt72Cf60nQyUVsoHS3trXHVgSdmYbxyVYbgAZyEy7nX4NaD8vLT5N8OE8ZrU/OuTV9oO9RTBb1PWUZvmN9Hhe+X5r30i/LdebUXvIO0QtcTtN1TzXQEpE9WBQAz5cIE7NKsY57Ty98xA8Hpao1Tm36/x/zjd1D4fv7hF/WL7++dy/xxDucfLADm2A48Ew1JSciqA9xsrDNPuE4Gu71bGPvZQ/LZ4ppQrHFBCHUfbQkNINrJB/2clLFzD3I6UB0Mf0NcY6BSWgCUslEBSGKClx0QHRmu6SK+76W/iyO+daMe4Wd4bxq/YyEJFIwbcXrT2w7jlPHUObGdHe5NvT13EQvrK1zsPcH1FF2YwfV52WjPxBjW5JlUu3CyOzBdKxpsknXNIpJ/Qrac35A5ez/2lCvDH+sV9Q+/XlcAd9hTtu2g9wdJb5yoT7iew9iubqdb1Rtp5/G1dHV5Hev1q3AEaCI2DzgjjJg8q3XBO8IkJWPRh/U5r1Koewc09h9b2AHRPobtLNtqGf5inA6qo3Hiifdw9d/vvfSLtGXc3vCoV7j34rJBeMGclvoGQPMVE3fYrbWa38T+az82Tbam1tC7uYwm9FImAbizi9tRUBmojWOPl3bDN9Ikg2WWc88yevtEv3fzRLvCNS8xgphDlud8d83a73UO6fkd9QjX9P6y/SGOUWRGLAKGPkXiGfsGOKC4WcVeTQcG8yRa0m9xdcryGCoEJ25h73krbU71pzV4axqUVsS8hcXAe3cNW1A8dkr8AlhERxnPiuiGX6R7ELfsCONHw+I98ve7rJPf+z1HpbezBSRRXzETf3b4em0t/ZG//CfJFlvwy7X0q7f/fuKSePRORmkbl1QvLHOFJ9cmqkp/d9IIrbOFL4kc14HKF/8en97+e3dF2wYOdR2rpp/6r38Kg03kVnks/dJ//N9z0VpX+xeZDnE8RgC2Bu9EW6XaMlWixSqE3APDY+K+2+eodh0Vflj5po25VObjjJcBS9NYOACUrNosOYdxLxiy29yJus0c+dn/7g+n6jgTAz2Tv/HtnwNLG0yrG0g7UMFHQYMclHZ9N1C0TlHuQfWLdOEeFa83PNapruPgzzlvuebpxunje/z8zvVyDbNZCg61xr1LR8hDURNY+ydakxvBgFhrg0vXscS3Vd1MX/pzf4x+QNTX91j68qt/lYvvUOhjY65hIe4+EwRRWLi/H2BhRXsf8yuf+NY9qIwYhIhbpi/fj0pvPvGLdKbx19I6GFqwfXVudscy+kVExFxDwj248APgFYyPctswnarFc43zVvIHuYityO2+iw6+A4ajhPfW7e2D+A73sNJ645Tf+S4kjCDJL+g/AUDAWr+E3hXpHKzMjY6coJ80IwhdDUYGDgjblUORiMrbWk6jbyQHfcrxivduyNF/yzqV75Gy9CvfI/xhXfPI+TiekHcZoLgY5S7TTnGyHRYl5zgTKkipeortdxVRH/20DCI5OM7FaF4GBzGoFm0JTMz3Ydp/ry53G5Hr1dOg0q98N1rM5cjHst08ffQrAX3US9ef5j73tIhIP3SNW6HEB89MbI0RzYTOIvryI8dG0gT3Rbf3bsGBZsC1SA4W4+2J6HRyvEJTpWJ3FBgFx3v2uPunrGyvf29ly/B4jzzDPcrf8Gi0773p9Cuf/cLL9NY/d5yTww7EteG5w5k77RGtanOsnKseMboFVgJAQYdeu6wTYyeB1KQD+fCnqUVFZpqyJCUdKp1jbQ4GJ/vVr6z/Ue+RPtyI3/sd/r3uYfHyVSBYdR/iJOjSzkKantxOl7jXZhB1eixO0l/khj0XD4FptFpjSjXY+hWASZOfPBfthzJI9xVrmfErx+K+SHc/yvrt976fn0lL//3yDT/jWYd944OVyWAnFIDCApOE9Yv48lA8K7EBsNlAeW10nLFmE5mY437d216eBu+s48G4d0TDllmW5bvz77CnrNdB75H+oPAAGIaLdcecd45rd9h6xJw3rt/+bG3XEiEMaEherfwPq7jGgawd5jagNh2bYUPhQNbCwmI6dsrbJNhkpri+l7tzOjSdm3NzmZbL7YJoVFCAFYjK5oLwC/9ozLt1zT/KiLzKb8v1Kf0i3kFuGXe/9PpFeyJuxAM/gamoiT6uyoTJCFDOHejSyOb3BCBMqDzRnFvEV62+zSTEm12pa4yXWAdV7z31t/7RhvciY3kFfYjHa0gt2oh9m6D0OxzsQqDBJHPt8Edgwm/AbRrr6QITUWKv0ZTbk407E6+sV9RTNwPtB6hsb/reJEeF98Yvv00bY17mQytpo6e+dR1lpDQATFmPXi3hIHuBW74IK2eoJnS3bxIHAbXOvAc2QyvvrZ8yf9+PAiZRz9504R/uQeHmH2SN/JHgnwR5P4r42jHwO+LdqxcW9NaXuFgLgYM3NNpHXsY1oDSLNHLX7QsaCdaGy9OAIT0CI9YT1UQj/J0nYyYlIHknqAtlA5JFp1igldENvzLNfu9lRxge35FPmSbCSr/D3mOSRJze9NY/ftFOXYFoBwvxe1iVr8MjaW6AwrM6uKomjUxir2Hci7rx0MR57jK6LfNH6Fg6PlsZZ76pDXrY01ufw+IeFNabR3zr9ra/N4+IG/5lfIHFECejO3ASp7h2ogbrdX7KS8zlIdBqFpMLRe1Xz+Nk7IwJuAtW4uTzCD9T7954RhmWGb/wO8jtrV/5vV8eveFlew4qQ//edH4LL2CA8UcGKnNC0hX0fVeMk0dVgBFOCI96UAn1eY/kc8d8OjEN58wb8ugH+WeeNI66luWYR++3foc9ZfzyPdKUfr3vfgs4QsAg8BDAON8FMvaV7/r588YCbZM4vXNedIVdkn/8sWcWFxfTBPcgHz82m6+zHfYSNxT5xrioDpO5bDL03t01dk+aY0FmGD8L9fdun1xJMgk38ovvmAzxbXj5HuGRrteN8DJN+V62QX+/TaOrrZKR7WMQxvjd6UvnII3fQDu6s84kYbKsbXAD4bTWxlBac0LZ6x7687i69CYLzY7/Xj7RlnCjrN7v8O91y3i22+/oM6dNP5NpSBv314Sk6FTAXDwLMrIMArLKnbxeHbsHc6SieTmOp8s/0iq8C5BOIItuD7yTZ28NHvy7rGv5HjmUfuV7hO/nGu/AurFa5AS5bPYEDAATeShcXpOZj3WAyfB6Pe3JTBt7RNk4BqbpGzaeVbSmBbZeL5FX3X6F43dg2Xfjl+046D2yPihcwODm6KMEdpyrWJXkxLfpDBeglD9ZRpt3mPAoDzmuPt5+uAfzWd0bL/ea5p7qPiJurmywwWITdgnshbM7VYy/ztL0q5A5O1yCbP73SXMs1J8LzV9U0PeyIRYafu76D/r05mE6O1v/cCOOrr+j0ORIF25v+iZXFQihS652YCpDu/X05b/wd9Mwd6ksw0S6g1Ugrr5JrdF1GI39aWZmjPWDWBiJhopp+XzsXVV69U36kMlLc3/PIcrdDo62PWh/HxVPKkabFVvLjfQLv/TPkYjvpetg7+uv8GPD4p5DgAlMaiMRuYuYMfHIWCtrApp8d8tDzIGj6mT4Ue08KvxByshxwLj2YDAz+eALiGOyaaC8JR/Bs1fD0HsTzZH0z/7W301TrTe5Pwc0/zILkKtQdrkyY5sbFYe5ttS5Vz5Rv17/Mk68R9z41t3P77BwAYTSSee5Kg8TExP3xML5riYWuuGBkbh2feSDeSzE2muNXmlONiSesTPG25nPbZBKNNfucKEcB2D/6V/5curcQpFzaCo132atoE6xza3neZ3FYguI5aKzEwJI2DDf9bMS8Ys4Ahzfy1+u6d0/UfGygyI/o0R4pDHMuObnE67vkUe4+lnvgx7TjnAoSdc0/qJsy600Oby0OoM5unXYAEPpWHMhK66tctDPQ3Ar3gA/wf236JlUgdID2HbooNnlXW817hL2EiUMP+ZJWNbpoPpEnHCNV77vl87w8tcb56j+ibabLvo60rh8vOP4JDY+h68PpeNY1RqrnuYq2atsNyQYgc6Gbu6Az8obyDwFiKE2GIoR8v1OkAmRb7QlXMt0fKI8v33K9pRhkS5c45bhfvc+Zdx4D7c37nd/Q6QhjmhwWloV8ioX1nutyY53INPeaTC2+Z2xNO5Rg4HZdI0L0Ca4yWAFC1oNFB73wOq8XlX+mmWW5Vrv+C7DnH8+pV/og7gWvSTcDTT6zXxCb8Q0xjEPAYfvYiKuwTGunY01bJh+mZQhzRa0+zYKmOZlmOnzmAFAqtrsYcOoo7gG1yxfTOaVpZrgGEURrR/R9yqkznGUGRs3Xk6TCzXOsiHJWYD06SynmyBye1jny3wZMy0bZkMt1AL9BXai/36PcctfbxzDzL/30S/S9Ybtl2a/PHrT7fddti3ebbM/7X0Oca9ifbXBNZ/DaZIMuHacO3OA2PAGanU49kBrrYqJzopI5su6Ce9Xa9BLqPrVFT36eTf1N/foq8gnXMco3qPfdOPJkyY+elyNCPdhZd17g6tr8Ac4l7PKZUoniLfSN4YZR3ctpDeZpKO5uLv5agcuDQMj686dd8rqyf49/Yw2HpTpYeGGRZ/cF0/MxPMBGr9CSV5MTZKObRMyB6NJDPgAGnwjDS7h4iKy3fokZiveyoamm9wL3KdlIGK/m6dcXwID6xfrTjcAi258CxAC09bftsWc1vVboGS8paWlDFQEPIaZR+RThamuMTBv5Mt2jGGueuOl15lk/V6llgCaXaQ769wieXxonLvEx9Ic36tLiiNIS3rbYL0zmWPm0dl2jAHxO6qjbEzvc1Rawy0vXNMf9m5YPOV7+B3mlvHtzHiyPzuKHTrApKpzmMlHY0dCdC8N71ShO51w+MunyzfDMeNED3dFEe2nB5hMZR3Kd8vr/davfAy3r+Lnd6TpfTddhJV5HPRu7Tda3FqHmjj8/jRaG0EJaRgeCrfJoVeztYkW6F2ms9qSGhzW1CM0ATuX55Q4s+F8O6iA98i/bFP5HtmXfuV7hPe6xunGYw7S8sz7Yh4ISDxvhAeLCzDh4oNs2EOCdevWjdQenwK0ct1FPwf8mBq1AYyNK081we/z2a+++rlABS5KYwIAxDotwwUa5bdpnOcCEn/mI+AxniSPWI4/gYtW6Gt7k7TBWcwPd5dbDRWNywpS0OD1rTU22u6BRkg7gMoOvLSh2gku4RpNL4DLW74/yutqiEZF7ZOonBUpgcx+/WU640e6eI/v3jRl+EFhZZwHee/N50G/vSx8HRN09bFN9E3G0g0Srovfo9lYrSMyHfKSRxS6WGhOOZl1+TZBWQjMNv8dNZGOqn8Zvl+9DQ9AEq6TJdI5Rj7x3fvu+Bz0iJkMjSLDWbqeqnNVyDqMSoPaX4R0k0M0OQFHGsM5Xmzcpr352gsmmEcMtL4mAzYTme9ucz6oetn/oHaFf7hG3u9dP/utDIsCWTr8c467ibCN0Jg+UP/MSyBSA/7JHawgVU/DkB2HgzC0l/lqDWyA7GCifnN1M41wILQ7DyLXh3ejbi764WHugWaDXltby/cs67r4BQb+BBa97Yn0luzccDPUNZ5kkPnF0ZhNNgh1qHS9NreOzUrJXflE7osDYqEZUzE37s3h0nJNETTZVBeWl1IdpTW2We5qbqVXASSwGnO9nGdcB9NF+aNCVsAAK+DP8Ad5TF/+clV6BjHKMCzewy39ynfrU373vufAQ/5EeqPEu66/Jhcw//j//p9B2GPFZH0w/YNrfz3BU2M5jcDgRn2Ye2RGWVBV7r6QZ8KUyrL1PVD8PWyEaqFq7yH6J6pZtjn8DnKNG7+D4vx+/d2NvK1wcGYgfe7P/zQNr6QP7ZxI//RP/QVobLZeJhXoWJZatGh/G4lWlZ+6GTQ872QClH8fT9ln5XuUXfqV74b7HWN/f5jYFlqsLA5F3wMwY/s51ZflOtw/vVZFRWtsO33mz34W7a1n4DT2pRMX/h4LmhPE8FpOTs+mdQ7CvZvH9SWA8Od6k3kq0JDH4YK/fft2XoP6K6XxEQEQ6OjaLtOVvE43GAGQ/l78Hms40tkHlpGPiWhAGiiqthXwArMLbJ0wntHPxB+J3vpaara5W3hmLlVm+tPn/sKfoAboT2zPp3/8p//ndBtBlzwfyxoQivlEgVE5XSsoOnTYE+l07x+o/VMdFqcMK9/LnEr/8r2Mc9C7bSrTNKqILsavIE9bQeNzPL1BB66KxXMMe4ALuIawqFVlgtW8JpHOlimlLgIUDpg+YlN4KYD3jBIeVGZZnnHKb9/L78PysH+tf28bHMQy3978er/vL0OD0pwz2QSYnmWcsQO7ziR8EVgxALNgcmgegMFSY1bBXsq8owoKa1724ZkeH6by/Vm+x1+99S+/fS+/Lbr8Puw9p2U33kP5TI3mrKyF8l4fIs89eQdgrSu1rfRm/+U09wQLZhqgwcK5wgLb6F9EgjyJFGwl9Q29u/Y7rgIS12FgH4GBiEHcuHEjb+7W17EPzETgIrbhQnbzN42ucQQm5hcAxm9/hvno77zxqpZVDnd2uImha26DC88BJHuIwLPuDOLh+giGkSCFuYE+XVsFdz8FvNi9gxXHavqm3tyCwYmtnPeBPJMHBQ7G8ynjW+n4lQOaI/b8iQaW3tFxpZ/vZV7le2+88ruMF3WNvLarHCmfvZWGR2+kO5xDuQnghzmPMts6Ow7QmH/90NIyKAc4x+Oky0ghkFw5vLfUY/oBYHIwKXFQXaJe4ZbxyvcI1y37KvpXtzdsv/SlX7zLdGvDG2rtrqSbMwupOraQbiKxWIUDO8S5tr1NFguQE3YeZA4TmcU3SNv71LmhL7LOTWT278GNvrCo8j2KLv3iXbfst4jbzQPMkrYMsKhqYCT9XAeqVM9jAp4a3qrDmJ/dSldmlrGJ+zxkzki6CcI2gnbj4Ap9Qd83yZ8O+n0/QQW42K2rrliFEpj19fX87uL3MUz/ACj6OafjF3EyPwRgYTqxkSB7DPeJMuQRtTkB3NqjrQBVJVgjSDj70YpuQdoCglDBQjUCWqbD/G9igfBi7Rp5XuX+HMih94GgoMRXQaXAZ0C5tFAqgEE0yAocNAg55d0/xi9/eh+Vzvjx2JmHPWXciLefX4T1ur0AxLSWqeviWGcyeWPZFuPFPCIMd83D97tpxFOhmfMKVsAEk0HFUGT9ClhzdDB5ZQWu3lIP/36Y+ptTxA83+le3t31l/MNrQb6sgmptkAk1mFawqqZwcLG5Al1MSoy7dLY1ikSHADhU2qsAUHbRAt3VirA7navonaE8qrj3LDz64aAMjwqPdMKACmPqpewNd2raNsiYerpTY8ttSKANjIg3kYEPYXVtmKtAO/WXYFrTfG2/Zub04fM3yjrIdcFnkoP56Fi67gQWApT4BcYRrnn5bjrjx8/0kdZ8BRoCltA1EbCYzjgCpVYLM09sDp4xErDscqAT0Jp5gxoE855pWskPWRf3Tk9PDnGyAkwILdhFSJ9F9pQxEFS061knkImiUupiREUcCH8xYa1Q+IVrWIT3otnm46+Ma+PjKdPqZ7x49nsv8zI80oe7X5rSz7wjbrzHoPRjYaqO2Ua58+3tGcgZRKKgbkPDx7KlsVX0T6Cm0adQlqGIDE1QuN0VsJUGVs2RHmfSx3yjnr6XT2//RFjU0bo8yBPxjet7/GxbPBEnXP2dOPGUcX338qlsYZ9b7Eaa81jRQloBtbO7+A1oZTDa2VOwCQSkDUTBiBY5jLHN6S5kAGAskAdt+oRFSG3uzYeoV7gP076od6SNeodbhoffUW60WTfyDdfjBDWMXHnV6x3IWo1lHYN87edmu1r/Bsg7ltd2jyEKRWngMszRqXlEo7+ObRfGAACDUCvfoyRQ9omy8sfdP+EXZbqe9HNeRFgseEmX6enpXE/5I77LgBUwuEbFVJaXl9PJkyfT5ORkVlCzGMNinQaJJICRXyLfxXL8GcdfzIkqwLO1vQn46KRRLtLaQ3dqC+RCS2vj8IL6Omyy6Jn0TY+iJgF/BoOvx5ZnwcxgPnN7A7p78Jo4XjBzOm0sA5hsVAy4brxbSd9dJL1PdIJuDHAZ5yD/Mk75XuZRvkecKC++3yt3CPW9k41TmhuHg89Acv7CpX3j6nIawiTBnhdvATFUK/by7tD2VLZTk3/iJnZ3Ye9Xx/389mvfg7Qn8jJ9+R5pD8o3xjPShGs6RYC7aLeeHJlPo1fW0shqNc1v1NJ5hvxFdqnrnCDWWkcN/sgg9F/Hi7z3Rti9NGsoUCWTd2BZVOW73IPq/F0R8TioHQf575fHg/rJdIU9RplgJkhqOhxeG2Lj4LIPmJAtxORctAWzqM48GG89lRBzpVniI2FlDFiIMuIBRId1gv0d7Y826LqofQKoiDXoL8YgELh27Vq6evVqxk4cw8jD+AIMeSXyTMpNLMZWPwFGjH1vuQFQFCDISIfTggbsAO3hlDGCBw/+8QbW1kwzaL9eXl9Oa9hJPjM5mEZvk6Y6lY5x5GAOtOUG5PBC07uqPQxKY6MSNq58jwboH08ZXr4bHpWOuA/ilmniPVzTW0Z8l++Ghb/vD/OYzt9oo5L+yZ/6X9IkaOvuyak0iBr5OHcNb4DqjmGecAnNVy8jgsENgw6akEJEAj0pOwRTUp5J92KubukxeH5F30RZ3Rjdv1HvcMuw3vfIR3/jl30QYWU+5btpIo7vvQ/bSNpc5hZ7zmc8+/f+cRrfZCdjUm9/k3TD0MpTYGQsNLH5Ou3fA3ru8LELcNXVwpyixIcldaxjWc/y3TrGt27Z3jKsty2/n+9s/IcrTRRzV8FKOmh8IqNDqsPi4iayCUy1zwBQfv3v/FwavboETo9OxqtsOBxl2uiDr8bCH8LOx2FPtMU40Rb9yk1af+eOAMVHQGC4/kpt/IW+iSSLwET2hK5Sn97HtGImUYb5+O7PvOO3J5YE2Mj1MQ5t74qIu5unt/z1cRXKiVo9PTZ6Mj22cTP91t//P9PWZazOPcKZnW+DucGAFWOamZ3J6yMXIrSKAq2c7/pZEX8+umXnZM8D/kSaA4K/yzvyDbeMsF9e+8Ur0xz0XqaroyvwVDqOOv1Cev31RjpPolfBTsZQI9+BEbm4jN2KE9M0HIYrdHRN9JY+cUerYLpRBiaCHgag2zfWs7eu9qNPWW753eufIx/wx7yNH2X4Xqbf7z3Kjywjbc6LdozAjn+ESXztrUaaRuI3iLnGk0S+1upLqxgS7gNYiK1VaaT3LfdnxqsdQbseAisp6xZ1Kf3Kd8PjO9zSr3yP9uj3sI/j5xmcXfrBS6goNesReYVJDab7KJKdM52ZdP0a6uo3uH94BWUtsJJBYrZRvZ84hg0cT5Yf8gQGElFyv+eyuj4Rbjv9BVCRtBFgLCwsZH+xFX+yJSSBJG0kjwQokTb6wjEPPor5+Bgn1nSsdTeBPpX1PPnMYNINzGX5RYAVBl2zA3UwsJ11TWi30ySYy403OasDCZxGxtMHEG89z357u7WSNgGsD4yZREVzze5Wzncr+V480clRTm++4R9l9YaH/0Fub3y/vdZgd4EO2xxL01x3OJIuJ/eZJtNlis6a8G4DFo9XIoiUyiNRQ1L5hgSRJI7wXFhr/eJnHXrLC7/9/A17kCfShlumKf3K94hT9l+8W/ttduY9JtxYcyKdRUqxDN3MKRSwLyYhk4n90pbyu7uxQNt4tKBqo52M9IH5HPZYn3tl8n7QY7z96m780r98PyivB/HPWCVEvwxYx1m6rXsBFUxFdItGuMGveWMtneg/mY5jkmKde4lH01KaAppsAlhXVtfgr4GmHPIEsLD9gbmGa7J7C5t3/Y0nkAj+iHwUMRMBiOG2fWZmJv8keSSLfPQ3ra6/wG58j8d3Aco7GwzxaYfj7Bh2gQpYEQClA7njuI+O0gfY++3jPE6/GHlrMp2sTaalxSG1TdKxEa5J2V3HrCPW/EWtrJSNsrJBw0WBViAmgpWKCvteVtRvn4gb6faL043Z/RvxS7/yPfLp9fN7v7Aynu9l/saP+ujuYNxom6sO6Ya0N3U63QSYiDTeAt1fY6LUYET1M0DeNZz/8a6upDuXx7bVnmR4LCY/UVaUU5YVcXRL/3gvw/d7L+Md9F7mHe+OZzxRP7+771W0f+swWzEi3T+WLiEKvs0hr1uEb9M/isWZEVY4k3pKv/wBQSAFxMy6GrDvTNco6bvd3jr3fpcpIizc/cL0M7xsUxnvQd49DL0NutniJzPVvGSuu4i6FtTgmUzMpwWwkcUby6l2HFsvZLwA9to3XsGsJxeYIfF40Cfqaznxc93FGgxtVf2U5ARAEMsQaAhggqkqI9Z4AhnXqnlHf+nqZ3g8ERZxdTMfEADRcXzzTIY66bR4RzTObxcM5eb1y6jO19Pc3GzqB0PZrs+kVUx2NAZGExyB9G10bbxOV0Cc9UyiQN1ycKIC+/kbFuFlmshLvwgPv/3cMu1hacp4ka9u6b9f/gf5mXYNO68LZ06n23dWuO2eXRqRZ3t4JD0yO41q+WqanOcSb6yLZQPSwAwnmRB8h47LVqZoo0fxsy+uj/n6i0GL8vUrn97vMqx8j3i9bhkn3iOO3+V7hIcbfSYYXOWE7IUmzLYnz6fWyu10B7slzUVUyGuQd7bYyQbXf4fTw5vs3hpkQJYD5iJmRztZkKLHBz3WI8rrjVPWsXw3Xu93r99+4b35H/Xdok3LWIxroVLu0XsGGsyTVgNZPDaxyccVmLKL8yfSYJ3zSkg00k3E6EvNdOrYLDoEtM2N/ZD2BzCP+upGf+gGNuJ8UfIiEPFwnq5MVkkdSRXj+Qvmq678E/PwZ77xi/z9FiBF38Wc1PUnMPFc2i5jKeDItmvcMBjnBmeOWviNnJxOG5tb6RrntxpIeFbRhF3b3ElLZHvVmTDMsYvpiXTj9q131OmFYvcKoXIB1aJiVigqHZWLjglX/4d9yvz3y0e//Z6D/PeL2+sXaTcYpOM/+eNppj6M0s5A+tG/9BfTK1evoWdxLC03OK8Detef9Uu6kJ9pA+8E1BSojcAsw3Ix5Hf2/m5J5u/P/nQCxBPlxveDuJEmXNOU72X/RX5luHWIp4zrO63i6DqXkA0xIb7wuTTK8frH5h5Jsysw72bOpwYc+71szwUAwyTzXp2usSRmEnR2PiDm8OD/XjxlvQ/L70HjHZaHYY5lC23XlqQO7RHbkhmrEqLi4nVMTvTDYZz/8R9JpxXNNrfT//hn/iTXgwx67TCW+CD9Bh3f/eeoZYh1WF/XU9Rb1/4P1zAxjwAiN27c4GDhrcz3CL6IQEVmq2l8F4sxj3JMI3/L9cljzPjrH2u7XOe52oyxF9J3wLCUagFJM4Bs53kDYAGobMEzrE9w4BBM7PgXfjSdgM/24VOn0snbN9IWxtcvLd1Opx45Lb5Oeia8jY4GW3hAwqhEVDQa4Lc/0/iEf/muX1TeuH6br67fkXfOgD/6+YTru3F9ev16IX6OtM8fIXOQbpFP1KNJm29OT6bGJLeTbbE7Tw6n7Y2R1I/pgQFMDLTZsQeR5khT5kUkYGAr8ih+311j0vlaRTretkQdo86WW/ZphFuPiBNu1K10fT8IGEVeltubxjwjX+P1xjVMP8GhjOZtmMidE7NpqY+DfYRVT85irwVlKki5FspZaBhk4NniBKkApIIdD+2i7oiZFPmbZ/SDZVj38jtXtOdP1K3H+77694aV32X6eA+3N174h5v7gXrSGamKCc8B9IhEUHxQBEWRDSY0ILc6OwH2AvnD6dlV+rvG2Hd5CaihC1QPASa97bds/WLdxLfrz8c6nWKhnjjhzQC7mazR9ZGkCSAiYBFjCczDuWZesd6i/w2PMsyn/BE9Y5q69oH2CNCeYb1A3HpmhDxb+HnodQmltT7uCpo+cyZdBnutcI5r5fh4aoBNzRyfS3dWIHcsyEc3fuW3lfIXT3yHX7hleKTvjRtxohzd3vQR52Fd83rYRwvkm9wLkthptpH9biMalISRlqZH8mJTsSmPpUyqu/i8DEhN2SHaeahN2bY+bD1745ffvkee4UYfRFh87+cqzaizGbgTb2BuoSWPCFWtYQCJi2pALj9tFeW3H5RiuXN7arhJXJl0zLsH6oPeepff+9XtML/eth4W97AwmuHtFQA9Rf5gkeoUsUM7qh4f8HKxXRa52Ce7ijwBDCllDRtid9ffYfkbVgIN2xztDjc2OgGvAKWUzph+dhbbq4yRQEFAYDzT+AQg8b3M2/7x5yMWYzrzCHFxfMsrqRJObNquaVKBGcCTfqlmJhLqD/YH6TW94PUfq1XUxBn0ATbcDRcKUFf9q8wzsRJmXlbGSkRjy4rpH99R2XAjTDce84j4pZ/vUV6kj/IM06/81q98esPK7/K9TLPfuwzEKjOmDgNEAzBVaOABJ1TGtoDyABQpTjn83R2YTqejsxTHhcbP8zpHgbH92rhffQ7yK9tUvkf8o/or4vW6AotB7kCpcLCro2TLxQW5ly+kEmDSA5odUDg8CHOkj8nTx67UByDx+EGL/lML0sl31PNu+8D8y3aW70eVfVB4FeBYtT3Uv8U4MqJERQ2A9w4YqORsPwtIpqwiVJkj6l5oLApigPAHe/Ybs0gZwMZv21RiKPoJOFyfgWFEvMgzAEp8G+579Hfkbx76mZ8AyTjWf8/NlKcGJlJlc9SeXn5H09kZgPES5rz5gZGxkeyBsdMDhvADbgBPVH5UInbgxeW5BBMQMdBV/Xz3icrGd/bkT9moiGfcXn+/4xdpSzfyL/32y+Og8N64Zbx4FzDUIJzraDl2ACSDdFamm+08usy/TqoMSGiDHUgQkw90mJeOmIkDExnu4/a2vWxXb9g+ye/1W9me8j0mRpnW8AfJm32XNkEG5n5wgrH7Ajpq7DwVtCAVncqYYw1lyU0tc1tJxZoTW3H3ztjaIR1gPfZrs3WMX1n33vdIG20u2xVhvWke9DtvJmwins9hfcBUZ9F6VsUFwtgqt6uyyMQDZFSqEqClfrE0N2WSHjr21sM6Rj2jDeEaHsDA99Lfbx8Zsfr7M59yvfXGj+8oz/QBTKIeAawM22Oct2h7DhPrpBvUStFkqUfjKTJjozUGHNwGETDzQSkmfVBF6uP1oSr5SeiJ1dxH5liATxQc79GQHHj3j3H0j8ZFQyJO73f4vxfufnmXfuX7YeUJcQfBRAZBIdtgI3YaFwnlA07mIVWjGX8XjpDdySTocCeruKLY2fk6rIj7wqLP9PT9e/lY/6PKyJqs2GUR08inZmmdGq1OqD5mVL5kC2BiVVlyABVWDww6J06X5OkC2MPa4fzorYd1i19M9sPyMKy370z/bh/HLmOdjCIl5OzUsfC1av/x6sE/uicNstKsg3DHmDtAGMkgwx72if6wDS7uaEuva76GB+UQ5fgdvyB5DIt8y3fJHJ/II9JZVvYjrNu3SnNYB/xT2s3U7rbVMefpxxPjR8QRO8P0DWumA1a7A3mktE+rdF2uz90MzbT319vAqHD4x87YrVB3gCPMSvhefuvnE+VEWOTbDX2nYyK8dOM94pZuGVa+l3HK9+4duu7CIrUQNXky2Q6hMGtHlNZJxBRy3gij++zp7EPbiolY5lu+R9usT7yX4Ye9G79MV76brje/ss29cXvLyUftuaagPoDIEW2bimRMbiVYl1c/AEhsp73htQ4yXV2A6t7UJQ/A6Prhm3wvn2i/ZfS+61e21++Hebxoazuj/eRDM/K9u3ntaGdOuMm5JLrAcvMMYGHlOtAXu/RFm7bnjaU77fct+ihg6YKOx7x9wvXd9sUvwmIDN16sP8PKxzB/kX/0UwncM8YpsGA+i5VI0tkRYuNt+GbO+70BxFZsIPkf80E/u6iKUS1/eX5QbfPaVwM2KhIVjYpY2d73iBv+4ZZx9Qv/6AjDTRv+un6Hf3455E+kizRGDb/e94OyyfJ0GK81TnttA2W9pWyHHbkmap8TOVhdXkKXnLEzqaeB/Ll3LueQyVS2sbceh4WVccs2lv5le3v9D0pTxlPPYg2t1xqnQMeQZiAIzTst9rIhc+gDsRJ7grZyxVDWx9A61xAzZwzGG4bqUGIDe5MOOOCxjv6iPvF9UN33y6bsp/J9v7gP47cDQNC8AA0EbVfHhPZC+3bJGxYX36wjAKmLi36gv8RGKqIjSPnks3m84u5keZii78Ut+yHeo6+MJNM0+kz/4HkERhPA4l6GPS+mN138XH/xM6pgUuPpjGRuhiRem82lichYrFyeoX0CvYSJRjZYmgsuxdzIbGryJYHrlt+RmElGhQpgkCtAwrLh8W5Y7xMdoRuddJ+LfzxdUGID73/eiXEXYJQRfC8j+FnkeX9O938JTYP2dZeKXxcT6dbDxSQkphszem+/GZKNK+vPOJiPz71q3P22IfqVvxyRP9EHfv//1d3pliNHcqZhNlm9a++Z+78m/dJcwOhIOto1LVFqkq3xx4EXZeUEkJlVRU6P13GYudlna3gEAkshg6ebdOJmD3eNl2Qm/MbXg2l/U14Zefl277fLz+/XhnGnIhn7Yyd1TczF03Yz1crOyz177FnuC3Z7ZiyP8kLjn/lIxz48v4Y8PmWwd6HwctYl5cvFaKm6tvfViHXu7Lp3HnJYzD5/ltw1hXzrFr039rP9PQXZ8teTa/2oxta+uObuxpy6LiJb5txa7tLvXl/PgV9cX+bkj13/PYTsp54s1xXi9+sljpc5/hiZn+f83frZif3yZd19ebdoIddU/3qXxF5ZAb9bd+07ljrW3H9ruAtGNQtSstF7OjJfqnk02kDzdV1YuvX7Byu5leC6ndwx9xVyIbwoX3KY4rdxLskvzNLtcW3aZXH/cdYnjgNItv863e9Wc9f/T1m/6L+egH0M+LPV7MvZ9M4bkeuXyeW3DJZzF0SPsrG59zsol3yFvibpYO0RlerF8CrmYfm6wi7g+4/Vf0/LrXqMeo0mI598GHLjq3Ul/aP1f1DWVx3X3dn6L/X+CvX67sKf/OrP10eg/s7Kevmz/mu5j47X36haz2CO1Yq6Ev/ahxu/Wt+j2S+F3sfUWzHNcp9xz/zU0AgXJc8HvlqiZC+NiY2Pehnz8/0t1nUy6OPeh/vF7n6y8FHwT7ykWapfrY9E/+Pr9T9217ekv1nfPP1jJ+l6Jvlm/WjwV+t9DTnLFW2/uwDEy7O4kz+3APtw+N6gra9sZ0/2HiB8MCaWXz4b+G/WBWSPVeuX/nTHuiO5XD58p2hdMJwb63bl5+s7Juv/WKw/Kbp+bmD9PMfXS/fNT9ZPIPhbzRq09sTtZQ7HM5DABY8KOvnWO5kHD9PnCVHWl778tRJR9P68OtA6iGx/74q8ZC81LbOTOgjlIHeDbN8uriurZ6MvV7OcMPtGbb2LvbbDKnRF3D3yDLw6Z66xstqPOBeEnqnpLt7fU7I57um7CZi41/L81Zdqe60tnNp/5vsEeG8S7Ap4daFTqY3tPSI9Wl1Z0/+wdavmtt+LQS2Vw8eM7KL3fDzTfWr9LuY+lUMNtfgW6P6dl1WkZ14tsTfd3l9uz5Zgf33Ak9Hlo+PuPrabi5PlZ/Vn7V17rTGPEX7jxTWtrxN+Yq3vjXoTDdM6mvykM/7lKC6LfR64U1sXmQXw3yl+v/bIu/VrfPs8Wu+TOD++W5/8+SB5XV32Rdjd2v6/OUCdcAJWFHrqZkLpk91rwPQbLrqLXTGMcNPH5LN5K83vI7vqewn3yP4PQT77NPk/hNye9ZXuc+Q7fUz+c9TP3zn5TTafrKqHzgUoOvMgu9kvZtssmr+ph3vWP3p451F2N9m1t1OeDn3LKAc0nj3f+Uf309IEBIqeV9awjCcPf67JGgW1jt8XE7dIy1fydL/vJc/WfPzDeZuXJ3L5zpnutfRyENX9WosPcR9p9oGT+kV4j5+yDwx/5MXcG/GO++7/kbvUXpv3xD3iP6XUc3/ccl9O8V00ply8c00287OeY+LhrJ/hp218+NNX+ns0bLZhzjVcWBh6c8pub8Dm5GNoDs8E+Lp3ModzMnlxkX2x00eTfyyd/vNJ1szvuQ6b/h7tgrJ1l2vi6vQ95JIljz6AfYx45jr5j/H1uW1m//H38pvye/qXcpo2k3/J7iV9ewLtLmTy3hfx8rz808mh90vKJ4yYmx80zE33hgsK22kfL8Zrx8wt+3u24WZMMnNfTE5jCiPD6XRi8WHDJJs4utbo5H+6vs5byekuF6ALbl6MivEW2gGdOdgUTfk33+J3Yst/yn4sfvdsBKu3RPVzqH90tv0RnfklW4nezWti7wKWcNc4lNMGf4sxMG9h2TfZnTzZvTgnrrzI49nOQWc80k9s/I7d4qB0p69iBH2Wz7SHO22dm51H6P6LftNIkAwznglNPix6ysmMfODDkOGnbmK3/E4jYD5mzDjlwE/yk35MjD8Em1nb5P8Qcps51O+1CbbYuv1Q3tFp9xI/bSb/kt0zPT/PptydSNUUls9Othf9L0D5Zt/6me2py6Zc6JPhZ5+tG1MePhoGveeXrPm9/5uTcYDuDKbzyYefwaZ+JoCnS+86zD86dWSX31f4/gVnxnsNv/1f48IXmzwd+czT+scYP9QdTTX+GDW8Jsbsbcf5kd3nyP1z+Cg/e4S/5lzj96eC109sqm1iZ+0zr41ZQT6g14tr9nKY9uV00uk3HdlrbMNH7/lKh06fxSAz98scV9Z+tck35vxWgu/0P3I8HXrNeG+EicIUPLyTyX9k6jUnOTycnAwHzCCbN8N9l2NfiK4vlM5Y5T9pvLzhfY7vp/BmXL8T4Yd75dDn/NmhsM2V2M7v0QMfN9srKIv940LLFx8w4aYvcYz0YfZ6ycs7/QZf5fjwySelUyvqOPhWpXz94lcvD+99g3LGfBSj/nT8Ztx4lc33HMhnv6w7TnijOjdd65nLvVhw2W3masPulLfOxppPPwvQb63Kx1pf+haqvzdNzo5fNuVC/mjIjE17GV/s6C3G0PG3+3ul1uHxxd6YlU+6KYdbTja57cdr/vD1x/Ew2eZH7c4Luc39cfuPfgw4QI2awOBThgRKIn6ud7LXosSn2/SDS8f7TfPWXGb+s5nkThjfMETpaqAY8oKpD+VMV454Ng7JlhEYHR38+LTqcuje69nunK494mP6Zj5zioe5N+gf6fKVj6jN4IJiduzLYx+b676Qpw1ER559Pb2Xz2tk+SlvlM9y6PhNXFgn4YwPk+6MnX1yuGSTTx+FacKZt5jXtYvJTbYMw/MB/2zAfvD9qgPck1nijV/938dgCe3P9l/5wRZXXmxaTz/PMwv53hdJtU0a8p1ka4QEu227l0BGb6V8PRr+JCNt8W50yTQg2/h7Tfng5B2B2GZPHJ8c9SyDdqLUCzL9aD3c3tjtZ61mTpMHPO23zfLd2NxcP+Dh883HHK3TT118cU/qjrQLa/XKGW/YD2z4Jrd52yPJinGP5ueejmz7X5SvJnl8tU160y3crueKZ3eO7MjZzXHzc/RzYuSfj+z1YfPl3HoZhj9tps/Jh0Pv8T2ZZXPidn9XHuTVU57ZRPPf+i2Uz2J3TFtHb7cdJUDhAPeMcJ4Mb0kAli8j/2hzX0TW8e3KnPxqsIl8yKNbeOeB3ggbPw9GtcCGh9Oc2wa5+igXfYjPJ7p9LNozQ7pOczZ7RNciG/Li/2T0J5ubbuXJP3kytq0nJTcmDt86ClMcVO2oi2nHCpZMT/KBhs3H7BnZvVGsezqyeTGxLk6+y4EfOgM//ZZjug2685D9Pdzps3W+T7p7MS4i5YPK+V6MOyl9IGIrTr4oexlK9r15tdaVaTNxp7+rySbPdBOXPzJ1m9MWb+4/XD5vcTuIAWrMdP45eXEa8ZKPpwsRXW3NZNMPsMfBmJuxpnRSWM+TiNzmNmvYjn/NEf7RmLp7vByTT376O+uwnrKJxdeP5NNvduowit3xbO3OjKw7lF7ysHEh2yf7yqOeFYN9vYX92CFGTyZ8nHnTnyNMeLmUV3TahE9X7Wh8mHOdH/r2RPtjCS53tAuUXT6jsK8ZHRfYfOFfspeXfVBtbCbfGs3vtll2j3cz9PtRLdP+vfY9985msoEkDawoB9A8k3pv9p6DeTbmZjiTWgHXf6S6/s/D4WQXe12zeZbHjr+6Uh4VzHz7ueaXD/o2BdoJQW9t6oWJ7+XP93Ln/5rjJDM+vrweYdpE0668s0VPX62j/E++ePlIH4U1u5h03K3VTUeGGvwkJ+u4Tv8beDxkf4hvSzE8j59+shPToJ8YepmhjsOm1z7BN7KZ9tuW/ZqNZOd62sVHYfHrYdPpj+5ck51jx13CGX/y7Y/sio12EVa/9bSDn8fPeueK+YjBV8eCuVj5xxvvemeWokQpzsTIPnYULJ+tV5BLUouehZ5rsds0L+WRrTjx04as6WWMJnUBjepHF1i238v96nD6v9V1xYOc+omhbx098ef69Dl94OeYtidfvI67PphqNuDbPLD64sIKf+q34BMeZm5izVk+uZ/Y8pgnUzi0Gtk0s5m4k2dXnOzQao9647Vc8xF++kh3j277q2LGDNtFu3UU9lmM8po4MmPGSZbfk2afv/TW+pAcffcf62NAPwXw3dooezOtE8u6/wlZ43JyUgfy2diJXwvfpcQr7MpnX5HkayvcipaosTcNDdMtuTzc7GAOn9lCzsLj26wOmgurj0hRazonFGw0u0vky+MlOxlf19d8rWY+p56vcv8evT4jwxj7cfflWseWXh5mL8Juf4eCzD++PKtRq/XdV+tHpNfdaRfWi9fL6+Ptb+VgH3Qx0Yvmo82ej2dUHmI2dm+vG9QnNXu9joOxc5fztQdk9U8dc146dggDsFv8nqP/S7xH/W6tzhlTH6xnrl1U2NC1V6xfOn+2zdWuOGi847RjXY/BWlxO4pWHcS8/x8QUW3/rR3Qbrgct2X1I8IDeerJii9+ctcG883dMBe57JXtzXQ+wgpxQFXNzKpGlM6J7cTzQ8TftyT6cw8fVp2RtdXYlnA+2bnzVtIfaru0qvyi9E6B41nSdAHh6DQ/j75L4M4zqhiOHM+Uy8+FvH0zMGGzmaB2duukbD8OngYpHbpRDNlt4lcejewMuytf+ez/Dnie/0aFlPkfjS51ovdKPpouroR8uODDw8uI/ClN9k9bre3qyZaSwD2oLm5+Nuz7IM/mk+Pq2krp9d8NFaR+NRQ2Pe7/4iYvdgZXCBbH95pMvUzx7WP1Ncjhvnvs9n2LrhXrNZDvm8sFPuW9b+a7ZS7xkMPmpt9nyFe6Ww/JBP+Okm3Ynvw3sA/b+ld9WXOJcne69INf6UV4/Xy+J5/m9fv/n/ZX30uirt0X2QXi//IC76a6FfKAcixtuyTTC8Ni0Vkg6a4NsjuknOQT5h8i0r6MzTgcqes8D3Znvx8QvbtRB3YP/xewvMq0ebLrWZOesJ9Ftf324J9t5LsWm/A1+2k7+PC7p6pEN9mjcansEuMrls+9ErpS4HPHG7vugZDb4HqtP+8S8Ur9HIqvLc/cF4vFW/2LiMfd69d7qPfeonnpUT+BO/r2XDzmx56RtXX3VvnWrtu17LcpHLfH20eavOL+pQnZv1IOV7q0f+BPduryifKbD337PxKIrzi0xwhfGM2w6xRuto7k+9clPXPIfksqlKzt+PrN+TNyztmo6Kd+wEz9jw2fzMXl8rE05lVfrM9/8P8ozeziY1hN/1hemWMW4t042fdt1+4SZhh/Jn7nlZvaDrJwnzZYsHjY+mmyuyYz25GV1sa22KF1xw51rvm+y1aBpm83H0n0xyfgWJMEb6WzC5HOT/3QV1jocek829Z+TL5b8mo+ecavhU+IXDzXzGeU7DFn8p8T8FFs5lNsjfuY8+ezO+NV00nDZRZO/RDd+9dTA5/8lu0d69jMH63ySN9lPuXXxpz25ERYfbsqz6QneOlm2N8rwOiaOyDpc9sndVqxqrpafTt6/+/WJvko4yh2+AqLpUfPRSRvuE9P6rOYdmGqpxmdBZh2TZ5O/06ag+KoAACCjSURBVB5uYuNP+Wn3/2JdL+R2j38pp2qDi5++HtmH3foVu5F89/YznSj5jJ6xWj+j9SbM9BUfDXPaJIdrklX9rnn0IvyPRfdPEJT0WcxrkqiAkz7yFa5mTNzMY8pfk8enYO7l1DPC6TfszPXEzDU/90b2UZh6MvH1ITp1PxZfXpOK3frMY9aU7sy/Nez0kzy76JTHX148r4vyAuUj3aYBcvIRlJ9yZF4cfPJOZjLjtDn7sXMbuG10XcdHsy3utC1O2Ht7LTxMPj7I+zP0qPjfu5jM4IGe0YoNk30JJw+XPrn1a3Thf2gqn0cXkmKXbzT5PTp9wWcTdWdWTLR+hJ0bhO7HHuV0UvklK6dynuvyD08368hHNNto2JOmR6du+7nKfoxuFa889vo4jnTqb8x8k92j9RNeH7Ob2B3vKtj8dY+ELe493e7PyGv6/Rj+djGZB/stjkr2tJH8Ix1sxYWZePyPNYo/c5rxp37m9Eg+MfmcMnbZRouHxqfLNnnrH4s+ipscPXNtHf2UXIvDR/ykO8Z1v0w5/nOdLPk960iOymPHHLkkP+1mLenyZc3X2Tv6LsxhFijzW+wzBx9nJ5sxtuGwvzn6BOb2EwQFqghryc8mhZnx5icOyWczpk08vSKNZPiaNWX3+CnLB5lZ7EnDoMap8xVyv1fhuxX+j4rvU/h+BdwZi32x8I2Jm/75Co/q18T2nhGb+Inn/1yTwb9mdOfDx7ZYD06y7NX8lb9TcB2Oi5zp+34FVceZP7pyossX3tixrpiL5PIYLjqxM8985ycf2d3oUshrfoS6sde9sJ7L13dqLrWxuXz8fP+JavaeD/ji+A6WPtmfTTpfVtv92EEvn7hUx1X0Qa/U0x6fenyxkp90x1kxjRv2up7Hsxji4MPfbLbk8uCrAd+tP2USLlVY1PR9JH32B73sCd81+pM/+ZMvfru+8Drz2p2eziaf8/9faE04831W0yPdKT/XZ4xH6w7I1Cd7lO/E/lD8W+qZ2MnL7VENcCf2h6rlU/zOHMt5Ur4nplin7FxP3PQ3+zX58J+Lfm7fZ33nWt53P82p+NcU9lLS94K+xu9bMOVQrCgfkz99nrp7a76nfPKnv2frcpyY0/fUfS7+Wb5067nnFsr6GT7gxM26pjw/U5/9p9J8f6qfaT994uexsZ6T3azrtJ1+zzuRdNM+2cfQHXvs0ZnL54pRXt3tFCNKL9Z+mYOZiozJPndC+f4haLlWS1Ss+FnrxKdH46fdM57u2SjOiZm5nLrPuZ41bX45L6fL+sNbf7Kpf5Qn3HlbL+/tc+k+9+B3jnM9dW/h+anGcnfiVFuyaL0RY9teg+Eb8dHk6LR/dLGZ+Jf4GWPy1fSS/Ut6Pu9NdmJUz74zAUwwk3kpyB+S/sy/4slnTbNW+U/drCf56feZzbSfPF/N5Plt/WPQXdP1RgR/5rD110TKt/6FnRjQ1uGj6bK7uv0spJjv76k+3W15R3l0olf/lBd/FX/r4U227B7x9WLqPz3zi4d8Rj+X3/x0VxJNPuntZc5MAj/X0+DkX4s77X6o9b2DL1Z5dkCnrFzCRJ9h0k1/+ZmUr+aU/1j8rEXMncui9Wm+zEmPnmP6mfUkj067YkzZyb/Uv/D5n7HTfQrdftcTTuOe/ynDz5y3fcaLzvWJBZv6e2uytw4+81vMckz+Vp/ht/264UK7kODzK07z9jIn40kzmLKTfw3mtPkh1m9pXjlPm2TRezlO3eTvYZM5AMY9fPHD/lBU7Hvxy2tpPwgNW26T/wC0FvmMps/W+tSF+VSa3xnrY33mC21OX8km7l7c9Gzjw7WeuhnjY/lnfov9sb5PO7Gap876dmdyT/ka2SzmHv5ZQbbw3Mbx0dNf8mh6zyvvn1su/M5rnBRhVzcuV9Kb4O3MWfOMzVv5bPmKt0eU3tV80dPPBfj6R563n6tJfUm240931xw8EdP9ZBl8D5OvhZXfs+MH6mJ5D5PsU2u8pnMj099Z/w20mHoxZWrVglvNV9DuxRX4XnetnYE+XPX1xPpeDLCZoz5kg6aL977MJ49rjjvP696qpvJ+FGPvgQqJXsG7xl3+9/POn4+XNQd9Nw+6jdEzab/dUPHhOKkR+NmMsFH6l8Y97IzFHkZeqEnfnJt54ujllt29PPTh2/X5+b/8y7/sz819hm7ks1hbuB7KK7rlDuTQ7cV6mLne028ZHOaFUa18GlG83ytRh5GcbI9FklnDmdvN1ZfvXuy/ELD65bsEfp9jf3fjusl9B8e4l8MHvq/HZIPXw6lLjtI12z+t06PFjIfpS1hkjbN+XcqWjZH/S/2XiwOMv0SyT4YrDlZOTXuhH8zqN15g2lc/vX7/RM8MPo3iVd8WrgfrMGj5ZTNpNuHDnjRctunZZZtuUpvvyzVdUNhkt1bbbkl2vs4RP1VC3+8e+T6WY/Htt9+s7/msfizsw5c57x1fUj3XF+n7x0/RO57PBv2cYdtE6OTpk/WLcdls3bXJfP508U6+Lp5n8+d6+th+1gMfxT71L62z3bWNzXzP7ll/2RvRy+oi+HJ8Ie0mH0wbZm56X1rTD6MNWR9Qucx1PDxd0/q141l9fDzTP+zfVowMrg1y8hiO275otB9W7n0BbstdVJZuYxf1C4T7VwivvZGTi0oXlvrA9q09eFaf+Pf05V+sE9Oxyv4t+zQs6hz6cl00+zLjBxdO/VlTS2+f5gh4jpKL0k8+/JRN/rX6cD8E7QBP32TJ90njyrs2SBso3bT5IfnZs8kXc8omn/5z0fqiD56FjTYOvr5E5QLbKDe0OfXhTpod+eTDTdnkX6sP9ym0musRX3j9mTmlVze5C40xMXi4ZNETtw3v2CZ/LX3J/zM/8pfr/qb0OkfUa+46XWTWrMYX3zN5lMiUl8yUTf6R/voEkfqjaAfvND7jz/XN5npA6Zr5CTPt0k36KXr1T/tHfPFe0oebtAM9ZSfPL1ybxAbpIlAf0HOQfUxO088j+ykPP2WTf60+3KS7P6M261mrnhj1I1rtaPjJy+/MsXV4fpM94+mMe1j5kqeLFiP6yH47fvKgfjWjfPsqvbcDyC7/VYHs8pvJt5c5JVQy0eLM9eQ/lz4/H0s1rbzQ2cRnPjXGyxzNcmDMbvGf2X1uXbnzO/niTNnk038s1ad6p3Zjb5TrCdYdCnk4vBzMbPITbmLJXhqzpslnN2WTf60+3FtpsVBTvWprtFfqQ7ioXsZnY21MP8nIJ29tTNlb+GI8srl4f/wof8P5YbqYmP1JlG/WheTr//j68neXAGcg6wb5qZvryU+be/w92T37cK+lmlXDpk2+a8bEZOOQ2gRzsmvyl5/pe/Kfou/O5LK1Ll6nv8kXc8omn/6k1X/KW9PP3iRHyc8Y1nOeJ9dL9lOPv+c/zKk78a/RP6qtGOr3vki1ht/ypXOxEKc+0YeZ8ePRfD3rTbVkVz5zPflHenk98pU823NdrlN/8p5MuiuhUxvZ7WXPf/3nF//59df7R9hvL3PuJX46npjJh5uyyb9WH+5jaQd52t/LI72TmE2THN60EdB7PrP/3HTmOvniTNnk038MbcPzN3128kwZ/+GibebZp3TwU279bMxYk89myib/Wn24t9DqY1MtxdY7A42HTx9+g9bDI/mptw6b7pRN/T3+jP3MfsY4+elHbfPiCqtunwD6iw63iwmFpGZiZPfGS5hP1d+L+VrZGVuxp0yDdpMW3bepTy4o3ca+Nv7nwJ35nj5f0k98m3zKJj/7g5+bB+6MZT3n7M+U53e+TJpxn/FnzBP7qfrpb/dnHf/G2QP9EC96r8ZqDTMvQPzeyzefxZ30Hv6RvtjlNXHyMc/xkv+J7+UNmWNtZu/lzlrsOxcfn+8fR1K8WfDA6G72cnQmRWfOzRQmKoF84T9mFCfb0/du5rVpdPIhMzVi5pePSTXEG0n/+q//+sVf/MVfbLzG1JMZv1rKwe3x3jjXXqTn/4ZZvhvpo+T4+TKHLFv8zm/Ul+2u+9r/ncPCdjtazdbp+Mo2OmVw7Oj47js3LgbWcoIx8eHoGvlFYUw5GK0fYcnL9fSTzcfQfLGNjyY7+0/fhNEXfaju7MnJzrzZVG/HpOMVfvYR/tEo1tTz0aAvVtgozDw+2Uw6sfxYm9nJszrzV3yY3/6f337xZ3/6p1/8Zp0762PzS0NyxICzmWDGM4m38jPpt9hWVEVmu3NcC3T/6M2ijXLvWXHWVi2brubt+lfDDPw8ecjEL/doPvoOAtxLI9uXcG/VP/NLV66PcMnhbBzT9wnq3bwgwXZxeEue5ZBNMaPJn9GXsJ+qfym2uue5Ai/mo/1x1gx/ymbOk4d97Th9siPLX/Q1/mDv4clmnDDOOD+YRGff7Jc5E3gGpXumP/H31gWnm/w97IkJjzZhyilZlLyrKdrBDp/tXi/sXJPNuZWf4UFujckney19yXbqX8OLW73x0d2ftdDDME4od0p8k5uvHfkLf+ZHf8oeYZNHH9m9Vh/uEVW3fSRHF1p1i5mcXTmg1YpOPkz4dKf8UR735NPHPf6ezZTN2FMeXz2PcC6whtj7o2GNMhjgaxyAmcMw0/Hkt5PjYepP3ilWA/I9zSd+yqfNI56tOtBHfvjsZU4nijW+DZMP2PzcYq7evHRCZTPt499fYkgeDz5uMRds+sxqyt7C55fNrFUPDF+f7hk5v3N/JCuPk+b/lFtn+wiTPtu5nvwz/cQ94rO/R9mo16gPaP2R+/QLZ5181jZ5uPzijeknPnpBPH8MGz193rO+h52yRz7C9ILLT1je3oCt+DNgRtGctz4bdNq3Dp998nt0Yu/5T1Yh1sny34mRPJ/W+C1f/D4xlhGaDfq5R/HL77X+y3XSfJA182c99Wf96cJXt4tidfMRT27y4yQKl9/8PKMvYcs53FnTmXP4GXPKJh9myiaf/hGtP3KbdtamfpA381Mt5zof0XCt4Sef/SPacTrt3uLjGfbUzTW++PjbeyaSqbAStw6c7nQW9hGdeJi5xp9+ySbm9Bt+yskcVCP7aLiXfOYjevrLN1oOr3nP5Iw715Mvz2f0JXz6KF+TP9d03YXdalp9dNHoPRMYe0A/YJI/y3Pq8puMvzmnnvwcp2yuJ5/dlOHnGmauJ5/9Sef+l6u1ybbck7PFT92UxaOPYk85fq7ZnWPq7/FTdtpaT/3kw5JVU7Jp58OKxu3OJMFJZ8NO3VvXM9nJ3/Nz6q2b8OWFP9+AhesZg9564vF7HV2Y9Olas/1cY/qa/Ev+wz7LKUz0ns+pi5/15j8ZHy42sCa5vrqgkDupsrkXb8rgijnl+Z2y+FM37Sc/8ff4e7LtO8UTCqfmLqbWap892r6u9eGNaP2JJg+TvDVqTNxFcv9x2odgm/wlPy/p+czfxOKbYu19MTcEvs3DSaASS3Y6JX/LmPbsermCpzvXJT3tNr+KyCZMOSuu17Zk09Z617Somr+iX3SBPpzyWfJso8t4x/39ouK8ddz8XA1nvd/zdd0YMCbbqHy37ZVu/orjxzqZdSMf1vt/wTpZ9GCt1fv7dbJ8u3waerh7c32J43+Q8gljr7x0p/Kau7edoxqufZ35vZT/TvJ4mPaHai+n/p7/aQNr7P+HsvLbT1yrR467af84DuFg46uH7C0j+9fYfGyM1/iGkYsY0WTl+Mtf/nL3Yd/Naobv2fsWm1uWvnPf7UtOONQ8lI03Ks1f//rXH+RVkCmEt/FM4+arg7Fk2aHxsHh4yXbikvGZzsbG09vc8GL5roQcydr01uTwC/jFr371qy++Xl8H9kajQV8/9OQXv/jFxhYPpnzQ7eeaz4kpD7TeZQ9r/G7lYsCEg1WvtRyMag1XPaha6fH8qg+FVQudNVzyfmbAce5vBokJg6obli1Z8f59/a2U/Mqr2OXXMWJrto6yMeDNeJTfc5DB5S992L4Pw78cw8KVM9vyzI5sgb/45nff7I839QnmP9fXw/1frV/88he7d/bDf65j8LOFrb9frTg/+erLfex+/+3l7/aIb8LrqR7mc9ZZfNSEnyN5tPOQP/HFkKc92/4MK06xyseavrVY5ah39v8c2ScT315x0RDf2m+ZGOoz8730l98pqOFAggkkCUXMJMnmumLZ3RthZ5JtDL4ks8fi56Az5MH2u5WTS9H0Q3/mx3c54hXKRk0OQptK3Ww90/qBm59rjN/xWGsTL4Nvr/H5mLFdwMTR6Oo5MdbiwZWXnMmtjfws0L649cynXnbyOsfM45t1cKupWru4ejblp3jh+P1OPPkt/cYv7GrWlpE31b8H2Rr53ncy6lj13fJZPuVvkO27nEV3/VeaLv+Ow8YOOxg2hmNBL547wQa92Y8ThbdffrdOfsdbP+bohBTzy3XcjP4AmX0szt4Ta184Pi6y/MLvfbp4fv2q2Jfv1sV++3//H0T5E9/Jxp6vP/qjPyL+oMYtePAgBwOtRmv+Zk2e/Ow9Ixyb7DrB5bN7cq1PLWzlhXdRaszYZNawqP6I374ls5/0SB5w73zz01WHQtCuNCWrMQybHTTB8ALEb+Z40NCKTZUvtGfeMNF8WsMpopOBTrPC0pmt0WTyKwd+DGuN1ATxNcoatRan5ulHObDNR7w4ZOWYvlzCTVpusHII2+bPHxvYbKe8OHKtL9lbG9bx4aP8imvohzr1YPaLDp4fE2+PtKms2aImf+VgPWNUI58GvcEfXp7VSs4Pm/YHmVGM/LHH62M1oIbcDL7ljIrFRizzZ+9+eqtJzHz4S3ds+OWn+vde+e/1RLR6xZeTyUWT3jnDng0dGR+GtWnId9LkW7ge5lqO2Ub5LS/51JPsrMM6pnLyF/jY8aen//Zv/7Yver2yCB+VC56+Y86XXuQf1VN+6d51hfIfdVxYMkQlPDcO46ZAEmuQG+mTnzT9pGGmj2QdmDbbLBZGIenYKwqVG3l18FMz4vnSaJQOb0MY7NzS//a3v93rHoof7WQS71E/2FZbuKh4dG1YfL5h5NogN6LJHSMyvUDLo17M2NnCiqlmvImHNfm0UeGt9dK6Tci34WQyis+PIYdyySc5flL1w3YM6coH7WLCLnl8vrJRj7zZoPDlUEwyuEY/WSgHOv32Eu9nv7j8SVA4ut3jxcvTz1xa2yNi+V+zndRyojPZiSUHI7oX6wF21hAmHOpliLyM8sDza+58lj4/bPB07OQHs/NfOrLOA7i/+7u/426P4rZG2wOdM+zZyaXBtzj7/+a4+/A7qBzjOZCAoIwZluR0NoMLcE7BBIHjz4DhV3IKNqaf+GjxNvCKlU85kfNtzXdNJDPZm+Ti2rwuoH+6/j+BtTiaYWOgbPD/9E//9MU//MM/7AsKv3OwEc/oZCif8s7mzB/OFAe2nOVX7vzSNa3zd1K+5I2KxcYazR8bk0zc/JF5xnLyOB4mPwZqH/DBxnRxrSfkhl7xa/CXnKzcyNPj55QzXJOu48UX//dGMWHwKDt52nP81Q88DN/h8DvH9Z6Hiyg5W73Tj9/8z//xxZ//+Z/vPbIUW74cbB/2Dawnmn+0Rxbt5QI/1SJva0OsprX4hhzjt2A9lC+8fdiJDFeOdNnlg8wgJzM7l9nRy8fMhj6baH6tHW/9qBd05Ye3//l1nN65I8H88z//8/5vxCXZCa+5BSnB1rAcz+AnX+Nng7OvWGu+5kw2sfDJpz+NmnmkI5ePzaVGco0x/viP/3hvlE5EOjysZ1sX13/8x3/ceHmdo01CLoZ54u7J4MOhsyZrk13ynvmLgRpRvNwb+UimJr7gyUx9aeDdyuqHZ8HidKG1rn9OHlNONrhYaLlki4pTXLGmjjydzcwPfLXHy6041UVmwpj5lq+NLQ7KP1sY+Hmck2379YvSjiU7dfbG5s/XG7D60acV9HYBvwasuzQn+3+tJ2D7Szy+xJcP/nybQB0NPvMXpZv96Px0weOzEcZaHTu/5Tv//OWTbbnRq9FxlJvjni1qwMS7Lnjydd6g3b3C8a8Peus4rvzef2dgN3eBUMqutgw51xwOKqSDSmdWAJqM7dwAbDu4cIpssDGi+BqFN/KNDzfzKMdiwhlh+FO8g29qEj82TRcaWDKbQrPkbNTkckD5qB98h4HnAyYenVh4+abPL7tm9ht0tcfzY+gfjOlYkstJDWRioPzRqb1eWONNchOOH3mpvztV1J0JCg8Da4+UizjsyOsFbIPc7BiFZ0+O5is7mDlaw2cvluFYsVO/IcfyKC6ZnjkpjG/+6/I/xPMhN5Mf9TqB2LLzK+3Oi2+/+/aLf78+4ZQvDB/6wa6a9LC6ojvw9aE61II3wvHX+eHYWNff2Qc2xa+OfLHrmMGpQ+3uzN1tqKchrhHF1yc40znCR3m7cyHX+3d/8zd/s5vvCusZJzCDisqwTUDewa64MIqsMWSKQ0021uwVaUTpjbDxEq04OvFM+RWLzxkHPlm2Dkq2dGq1bgPCeab5+7//+32H5v0jG0MMumbrauSj2OnKHa3x1ZcfNvg2fvlWf/goX9nGo3pKLk6DrF4n4weOXM+za7OTdeHsAgWvT92N6I918ficNePrC119gTfCdxxgi1n9k067acOuIR82ZPIWwwmAR/NXvezUyre5TuF9MtQvcdg6Lu4K9u39WvP/39ceuZj8dl0w6P9r/WShT7ToHYP2w/a9ZPI5R3WdcliTvprwcnEekJVfPWh/8VWtbPiBQdXjLqs9wtfOfV0AvMyFLyYf8Xy6HuhNF0n7hV+T3M928OeCtT/N+du//dv92kjgNpcCOJWEQWecgWcxExO2i0FJksNVaHxr/pOhEkanjI9GdxOtT6pIdx2ojWuD1UiNkH81qf2v//qvdy9cccWcemsHc+aKn2Pmmjz/bVg0WfVOu/yzn/5hG/H1X14zN/6MaP2fG44Px9lGseHUr1fVLM8/+7M/++Iv//Iv97Oti4kYbPD6CSvHMz7fZvFnLlPmxJ65TRs4fu/ZTh/0cF1A5ON4850t/LQRx/A9ETVbq0cunki8zPnNb36z/fx61eiC+ut1l+JlwV/9r7/64n+vfeIlgL8742NrvsWdk//i4IsfJYOfQ3x9b49MHbtpG8+H+sUyyR2XeoLKv3NRn2DEUCt7dmLnC69/cHi2dF4S8204l+wF+2bLOXNyuTUzNJQTUwBJzFHCAhgcC2jOEa5EW8OERxUKY85hPXEnH9Yz02uGzaUh5e0EYqux5aYxZGrWj3JjY8qhvMRkx2aOM09rOKM4UbLqvmdH34Gb+mljQ9AZxZJrMbJL3zoKq079UYsNUr5syJvdqekje3slP3KqN8VG6Ys96RauB7EnPsysMezpi7xc4R3L9qO6OiHLMfv8sf12fWnNicAe3rD3fTTsIqMn9ZNcL+wRvdj1r/dcVJjvk8IYp/yRjFy8Yjoec5x+4PQwef0gM/VEbXD3LiZ812t8Nrs3q17518dy0eNyFLf5zonDgNLQvN3M6yYViOM54XKAfza6KMFUaIWj4omRv4mpyHTR4sFq0LOhOWpTI2x4TXYRtZGqjc4maaPAmJpZf+TQICvHZCeddmwn3vrcbOxnDP1JRn5v0leDeGYbILy456SD0yMniBPFs0w58ztPHLnC6hNfjq3+FWPmUT6z3vTwDT5hjeRs5GA9c5mYbbAe6g8buZnGPGbW5ViMYn73zeWJk10YPr/65vLNTz355fXunE/5tj+s19dl98WkeqNi4jsBywGdozyKTSeX+lZ95OU+eTlM2/yxN+lQfexcrFYyMxxbOnvegI/y41iTFa9YG7Qe3mmOhDgsCCXeFYiuoIxzkMPpPKdoWJvz2dgHZAH4yyZ8DSgW2igPmGejjY86MPBsbRKbYm+c60Yir+H6oX7UKL/WZPgOdvmcuZZfuZ96MV4afDdhixWf71OePttz47GTnxzsAz1Sfz1C9UmN8zi1N9jDG/jioPnIboPuPMw9lx+0WqKZzrWYplF88Yovh0bY8PmxhjPDqPmr7y496fyQJxu9MOEd/5WBZLeOfk6x2x/lcdLyIZ98OHHvjfKnK2Z8NZHLUa5h0PYBPhsyOMezY4ZnH14v2idi2Df55eddThIWDOXo2cjmHiadBJ8NSZ1NZHuO/JGnRx81O/s2w2woXt2dOPOikd3eKCs3m0EcNuUZnTmdeVXXzJWsdT6KF03feh6DqYtH4/OJTrt8hZsUXy/QdOqtT6jB74yBnxcTmOzDnzLrOSaevFjJi/fIxrPozItdtnoQH+b05z86GmoPI4cvlx/2+Hyg6u2Jic1Pv3z/ng79xPJbf/BG+svq/UUw3akP94zOuNWXn9mD9sSpq24xTl5/u5Cy8wTsbtVNAl2x0XduwwgrmlCTaqI3YKdBfIHvURgDze9McvrInp5cXDP8+cw9fRcDfTb40kiziw9Zg/xc03Vy1Quy4uONbmOnPF9o/AX9/cf6k2b6IXMxy8+kc2OwyW5S+NZ8ZR+PqtGYPrbgKovPF3wXWPy9N8BhzzHzmDwf4cnx+m1YV2f+wtxb07V/pj4ehZnD2jEw7Y2534pdfvmWczauJVWb76g4Z3+mjl4MsiZZ8dC5P6ZtPPv6lb/yhinndKj8DfXSi5M/PDnKj37kA6ba50Uc1njnYtGVNocMTM7c8s0BMydHOYvmB51B7/khyy79XE8+ff6tJ59+UvZN9ZjZkONb08m3Cyw/ZDXTOl94dnqXfRTGiO7FWCdHu7jdw5M9u01mX0w0nl3jnuy0q76w5cfHzLETTU/KuwtL8Z7R/Edh7+2PjhFccbKJsp28tUFmypsf+xhfTdFpGw9f7E4avcnHu+vxkrNn5u33+gZsPtDJ2x+NKU925rN9XnPHVz/8M3t5yh3eLA+50+W3uPlK3jo9ucHWBS0/YtgHaDHxW55RzqznpkkfLUmOTCNdNF/RDRq4KReLnckfmj5/U5avqCKejekrf+HpahIZXzaKd/G9PKIPc+YgV7p6FZaf4qD8J7MWAw3DLv2k8fKZI3zx8p88u+J0jPKR3bmunuzLjx+b01ou+cWz6WKX35lHMaLpouQ2Kt/5LS4dPr/WRrbRTp4Ty59p0OU3mv27ry7vC5JXH526eomsx+Lw5yLiCfjX60nWk87vvl5Pttd9Ug+jYpcDvphRskY5orOm82LNdtrDyy+ZeGFQazO/4pVfx5Vs+mAHY5K7IKLW9ru6i5N/9P8CuY3cSF9dijMAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "4fe12172",
   "metadata": {},
   "source": [
    "# Videoauswertung zum freien Fall\n",
    "   \n",
    "Bilderfolge: ![image-2.png](attachment:image-2.png)\n",
    "   \n",
    "Link zum Video der Uni Würzburg: http://www.physik.uni-wuerzburg.de/video/mechanik1/frfall.html"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f80ab1ba",
   "metadata": {},
   "source": [
    "## Messwerte:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "824a83c2",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "df =  pd.read_csv('freierfall.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "6dfa692e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  t_in_s;x_in_m\n",
      "0     0.00;0.00\n",
      "1     0.08;0.03\n",
      "2     0.16;0.12\n",
      "3     0.24;0.28\n"
     ]
    }
   ],
   "source": [
    "print(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "7d63fc51",
   "metadata": {},
   "outputs": [],
   "source": [
    "t=[0.00,0.08,0.16,0.24]\n",
    "x=[0.00,0.03,0.12,0.28]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "7bc89071",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(t,x)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2eb194e1",
   "metadata": {},
   "source": [
    "Diagramm 1 - sieht nach einer Parabel aus.\n",
    "   \n",
    "   \n",
    "## Theoretische Überlegungen\n",
    "   \n",
    "Bei einer Parabel wächst die Steigung linear, also beim doppelten t-Wert doppelt so steil.\n",
    "   \n",
    "Die Steigung (Höhe / Breite) ist in der Physik die Geschwindigkeit = Weg / Zeit (besser Zeitraum).\n",
    "   \n",
    "Es muss unterschieden werden:\n",
    "   \n",
    "1. Langer Zeitraum (z. B. eine Stunde) -> Durchschnittsgeschwindigkeit $v_m$\n",
    "   \n",
    "2. Kurzer Zeitraum, ein Moment (z. B. eine Zehntelsekunde) -> Momentangeschwindigkeit $v$ (Steigung im Diagramm 1)\n",
    "   \n",
    "Die Momentangeschwindigkeit wächst also gleichmäßig an, man sagt es wirkt eine konstante Beschleunigung.\n",
    "   \n",
    "Als Formel: $v=a \\cdot t$\n",
    "   \n",
    "Wenn aus dem Stillstand beschleunigt wird, gilt für die mittlere Geschwindigkeit $v_m$ immer: $v_m = 0.5 \\cdot v$ oder $v_m = 0.5 \\cdot a \\cdot t$\n",
    "   \n",
    "Wenn der Anfangsweg = 0 m ist, gilt: $x = v_m \\cdot t$ und somit $x = 0.5 \\cdot a \\cdot t \\cdot t$ oder $x = 0.5 \\cdot a \\cdot t^2$\n",
    "   \n",
    "   \n",
    "Wenn das beim freien Fall so ist, müsste unser x in einem Diagramm über $0.5 \\cdot t^2$ eine Ursprungsgerade sein.\n",
    "   \n",
    "Und die Steigung ist die Fallbeschleunigung g.\n",
    "   \n",
    "Dazu muss umgerechnet werden und ein neues Diagramm 2 erzeugt werden."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "5a690c0f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.     0.0032 0.0128 0.0288]\n"
     ]
    }
   ],
   "source": [
    "t2=0.5*np.square(t)\n",
    "print(t2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "45cffb7f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(t2,x)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e55a0f28",
   "metadata": {},
   "source": [
    "Diagramm 2 - sieht nach einer Geraden aus.\n",
    "   \n",
    "Fehlt noch die Steigung:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "fe76916d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.     0.0032 0.0128 0.0288]\n"
     ]
    }
   ],
   "source": [
    "t3=np.array(t2)\n",
    "print(t3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "6349e942",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.0, 0.03, 0.12, 0.28]\n"
     ]
    }
   ],
   "source": [
    "x3=np.array(x)\n",
    "print(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "8d047945",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9.725765306122447\n"
     ]
    }
   ],
   "source": [
    "slope = ((len(t3)*sum(t3*x3)) - (sum(t3)*sum(x3)))/(len(t3)*(sum(t3**2))-(sum(t3)**2))\n",
    "print(slope)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "78c694e7",
   "metadata": {},
   "source": [
    "Das ist also die Beschleunigung im freien Fall auf der Erdoberfläche.\n",
    "   \n",
    "In der Formelsammlung steht g = 9,81 $m \\over s^2$\n",
    "   \n",
    "Die Messung war gut!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e03a2bba",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
