5Ma9aMHwkwbYANyO6SVp6A==;5sLjRo3A4Wh0Lnx4iiNZPtDXbKttcp4Qzi4WBsjk4h+gr1w9iKuoQUpEYKi1YZroHXLyXmMREFbhPxOBnaeRU9FxNDusXZHcLsth4JSNNuenC7J7v5F3aAmSA0Uhd0mu2OvttlEguqVzBWvFstk2IPy28NgFs6Ea5fFhzkQ7STiqS8QsYSx3+g9yeivuXRPK36ijoG/cppA/s8LYtfWkILK8Q7y1ntTfFxKzTQvymdBRVfs7uToUGF59vdy1115ihWP0SVZ382a4WT++9bsjx0twEZVMaK9/TpVJBe/wflO5tan4dbWHr4kM9iUIBFslq+UtAkuigAjX+ijM+nLRa8fv6xD1elmubNcdnQZ2PWrzBWvK9fPT9Dxj0dsfH+4YvgYiaizk8tVXH51oSZvSBfCKab0s8y/jggKep9qtveC/Wox3zEeiaWCp4LcH1UZZ3KlWUbZr+K7R4TNOmVKblxuA1s6a9M6+UoMZX+NX1l7vNTjVTIq7rzRvtD01OFZw7i/PEWwYoovY27Y9iJFa904o1LPle/A+cg1FIcU46r2CTbBQCgHA5704AsdLjvBUICiB8PeAUX9Clk9mBz/9TjfQ1wu82fEjcMNSdBUNzdxi/cqGqKJm7REFOeW9d9DPNEqrJmXTwv7lo0tJLCx3DvrQDKLW3h3enWDBCthfuJUhm+FTqdMmDs9Q7f9L8/VQ/4Z81oi1DDKH4QvXkX7bjv7GDcgk2sUHpkB02c7jJxE/9Jy44p00xd1kcPxZGuV/045tySW0Cl5qv8d6gyN9UhndNv0aOQaCNeykqI9TG3Sc0nC4EexDp3RsZ6TyWVfkjPicT5X/ij6VsnwlrVc5V98E1T3qQmEcwozQOLrjAwijC+el3yGSkPyneqwwdi61R5a4np8mNs/qDGdg0vOnCKvI0q/bXqgjR8ry4Jlxy3Cs1lwt5IFd0zD56nZkS7zbApXcKPKQwD3eq35pOPQ8ynBCWINJS9VzACU9udNAG4x8upq0XQQXtRi51ll5064VmolBewp5ggJ0S9xtAWDCmJDsTRWc1hjvfGfJkPh4veq2xvZe+gpRRWnY43n9G7d1GllsKv6H3YvgFWbrMr5JFKbfh74QK5AwlWgf6fA/6v2po+MbhyeMcUsety7WWwCZdmDyMTtX7/riiaBEEJvfbHu8kZXiBHJqTRYDHINbR0WLLkmQ2Gf23FtPisVYHTv8VCP0cpVHxv3jp/JFMEd0LInvcpGj5m9RPKeEtvjXknnTNMkZ/TLr82eQYt0pNKIJOXCaexZdeInPtDLNGUa/pQu4eGbvPZjls8kVv7euBjMldkaT1pR5Y1M77IyldZE1BvSKD7liXOFkbvL08EPf9mxPE8VpVmZ1F7ZjKs/pYAWJsIqwWFEEECdxXqPS2/Zj2BWdSOjyl+2r7oKPmCV9ISWmAaQZK4I4w2ajncIadzQmQv5PTeIS0C4ainhzZFeBzBDQYKhP9kLSCK0gKal3qm3I9zs6aVYXMQExpkkzDsCuUi6dOYupCZgpMk1G2DJMihXR5P2Vyq3xr3BCx5PMxfDFcmZQgWb/Pd1MZNDi1nN054AzhC0quPdi47RppO9tG00IoxHboUQ+9QY4hjPYET+W+Em7q0LnK8V1eG0LCfkuKkY0byVRYKBuDk8paCsZlstu8Ok9JbvaEhyZRbo/31GdSiSb4s/YzKARJiAnqg0QfoENMzRMSIId03GUNre2R/LL+tAeTvibtgj/Nb5tC2opKXQFUPVs6T6DBkT6BSeKr+QiZJlQPzR147yeM9vDUxeET6rDlVNpgwUv48XNRDiO59uxFvb3xKY3gKGU04axFFZUrIDZWBHmwJokkzR7VGH/oXNFNvcto7C/Ds/pfUjtGGuW3eVI7idXS6wL/Shbj+e6Y8+XraV9BbyxueRdHFrp/KxfNcjlVmE8rEnuQfjKR9cbArGvA/eAuUrz4brdfH/j962zFrjuM1TytPZwU3wZlueq/R0KUlAmZf3EuY6ggNhtcs2VTNUhCARrAcGnMMxszUThlUnA1qcbUkprmP7XAao0g/JjIqJfiYVsv7YhFYMm1xN8JU200mTXdTVY5i1Zeb3j4NER+wVpzW/1jpPWPoFYFVWm0S3tH1uy/gyXDRVbqUEmGBGnpq6iTxTfgawg2gYq1L1mAabw0Vn4J2afEXD3A4quvg7YGY9VtTFaTP062VEOOnEFcbw9Ik/j1cSFlM+jQNoBqQbM5+4G3LBHq/JMwBDIQ7pa6dT26kwJeZgAPlcn1o9o0+Hh+rml2EukuIQM6BlBUF5/WZroWFki3j/mNQFqiVfB4whN5Cem4pI9DmpFHIztG+6o/g6mKJW+12zjxTYrnegVKfloaIRoqibdADH2k0bJGVVYvBVORmFIXuCSck4g/G1JMqsBzm3UCD/60dArRkeI6QOrXBCGSyCCV8uIXzvXf1ho+wK6futWcIXc2+etNB71V49SnZHgyb7VaW1R7KBOpZ3r8dh9gQhBEVBUoucjzHKFErJyCosGRRYpAYfhLXQigguibP2XH0uD/gAt1FRxnuzGEOU9cGHdIXBzAGvmSXAZycQXPSCTF3uKpP0wounWgWtWsMNb6dtYDCfn7ZylEyaooamXtCRcTzXhDaCAnc3mvn0nqRTVem9HJFYLePcYsFvY80OzhUuxfFqZxYFfpNAIJJv2VFX67g5VMOEk3pAOwH/DBHOrBPlvXg16izCZyal5GXE1NxM1NJUsunD1mPa4eyaGx6lItc637WKrp6HVECVRkhFHc5c+ZtRgE11d/58dQbR4MivgULKfQofuH+Z75CKZOjcvwUqXg0xd4S41YpBjsURY70ukMtupdd+eMHE4JZdGfEDrI3ric8FhtdapOs89/uE88pmTavZK+CgkYaW/D9sC24w4qB5V4vBfpcib6/nUvcz5Dt3E2oKYyR6XD1Q/eo/13bcIE/677T42HWCaGLeVukQhcGPq8idmi/97vGgSbzKUxZg8DMevCTYExBTbMiENd6R5CZMmaKEQdOaZiykHkYGQ6Kw1g7S4lW1ZdKK2WtV6Q9hE0smcH7X1L2GDTEycji9ZIxpw1LJ0NZcRGiEU9+sial7Wi9Ltp8T/j40pXhuj3l+gwDqkuIR6lDKnCZL4GMtEDf4DmRmORKNaDT11djCy8ZQ5sO6VQ+Z76dZ6XpxMoPIUjUwAYR3Z2aI2CSldRr6zHGrKrTkDvkQTa7GQQbXIsxqwYaZmi8xWuCTpeRP9mEv81Hty3YGzeOHD735QZoY28wmqn0UO+f57lQwgO08J76MKSvSxEKWOG+OdlYMEoPDnCDSuDjjsxS3JlaJjglRZa83RF+7PG6x0nFhihFjpBKxpFMnjgGrKS+W2i7SkdvytJZTUSwLq+U1vwZrek10L672RvY0cbhyLe4pZb2N6fh9IcQObMevdrjbo7/gZikDIlLAAp4Aw44fLIkc84tE6TzLjM48YR1zccmGFgwiRSB0Q9I3tn5BBUGRAFxmxB/AK0k2q18V/ifkeZQHviSo7ZBC9awgCezh7WGyb6/4uUL6WJOEhPA94IwQVZRHUXriVX2i2e9bTeRXE/3JO1GNheV2rhHjfqRs9XDiJJIkyTxAc7l+32FfhyBtlWOjAm7q628o4j2CWRg9PNQS+Yy41WzO4cCMdM27D32Ap5pUnUGii5gQAZEH6vk1N5KnlALadAHpem4Ve8nVoqJ1MhP31Vj1JYLpV7P2E9rs8zwHv+3LxehF4bXO8A0BE9S83ISDMsJ3mqwXUC7TZ90IbX7IvdSRns6poGB0bSL9WQBCUR4UluB/MoQXrFkjs1ItddyuV2ggBKwqV18DQjR5htELZkeaZ4EIS7OWZW4yrHbS1d1W0M4x7FLCDXnZ5BrOgZ2kwmxPXovscHvgVPg16wBu4aQX5rnBlOSU4w3G7Ff1ZFlk3vTf9zHZ0wQLsxOlQ3c/nG8PEw6Q0LdgkrIM4Jm3bsyJB3Ekq5jDcOkOkQemW+TPQslpLmwW4IG5tVln/SvAWlhXCr3vuJDlJE+48L2uKAnK5FQQisnn2rMMPHjJfrjqxUbQFbMjSjc6jLZ6dVU1cgYmwaYSQ9KOZE6vcK9zs3TSmVKeKaAqdTAzdkEYBn2GqHvTiRonUc9X8rtFbTkvPizbvMZB/uEpm+tzkmFR4vhAFxxMtecCtMEEOyIA7lOO9PWDwXnYJ7Iji3eokrsjcN2jhp4oXpkgd3JX1+XB/knS/nDDggF37qI4yq4N7T1eJWZYv0cHKY9KQfEAprsJd/0uoZYgDnMEiRwWwbhtevjaXJAIFVwnYBDKnhJ2PbYvNm91SyXFbTUGN3YCjyLxdoCAbHZB68sX3DELWdrltPfRQQjQw7m2chytkV0mdIAiEqJyMEh7HBWD4tt6RFvMX+UCwA6DdiDBRcRyC+JXFtcfQ2KZl50yCTmoTs1KhChZYWTka7p9dc0t9WRqiCWi3OvhKxPR8RZglyPV2H2NsDtXwcy8CSc6bAv/Ko1UQjMKWjHqOndDFje/dKLQt2JS8jGJl6RJsN7TeJF0xtz6sp+ClT+myxrwLl7KkAH3TRs21llYKBYEPqf9Zv4QcFzDTXDF7XpN1WjW9tsVErfHuCfKUxke7nXFsUJRYWRQmeoteXpGLJJYpAaJqeasAFXcOETk4YFNskNPAr4nazsRNuGNG9hdcfQXJ4EHkkyPBWJOqjosRaTx5Z+DlkQpXybfbvXGrmenmwABIgwogOJUdJCCU+RYW3jVMZ9xMdzpJK9Fjc3Eh4wmUpAgf5h5S87mh4eSh/VqfEFwJI1+nRzR+7mBFCUtshClKizTv0hB0bD0AwIJ0G6sKcNS2Xl6T2N9UEd8YOSxwjVxGrZTGRwXRQ8C+lVrt4VSZey4jBGl2HeHm5tXysIV8B69999OsSqtiuLijsLtWkXj8ZgHgEb6y6gKVBrqk8lmvG++e0zErIgBQ6etYoJP9XABdrxpUHBnd+tiNx2IaowqZrX4KCVqithofkDmLCycqVNSGCGDNzvuzcOHAo9psxeU7xEx+Rq/SCZn6NGsG3FhQQEmvnxOt4aZ8Q+mF0Fxgl2EhmkxEtagyShCZN5htySlPzkf/SU2nxZ9JYiAdus+FESSe4ShRXNWOe4HjiXhJZstfps6GrDepfC9me2qq9gEgV1ETXi/F488lAd7SnYwhTT4hBZNJbxVeayZeNm0N3kHFpd9sK2ShVgR/VBvlI/tP0Aqgy8gykSB+pCBimw+pFCrp3of1yu2otC7o40b2m1QRlq9jenfRNBCEPNB+0ffHyVldjC6P+wR+/c/glAkTvBQN4KV1cJClPbbaosixxecdOHlaANLE1fEHi6luojpeA98zh7orbKjJVaotski2FtIYifmutJFSBeYb6vp6j2vxpITAvL1C/X5msouUekNF7MIImLXf+PlZ1zdH+vLz1UxC0AGmXwDizop/L0LhCaS4nEwVfzkvWSfP9U92IOBeRPH6zy4U0QTFxJJUnt6moD7ueHZqqTFTyj1tYx/asj1NqtvEVaKiAn5zsT0qiNjm/BD+bZEgpthUzMEkqYovo6DOBHfYCzZ+h0mtjKzVKCOOTFIIfOknYDlfF6uD0Yl+r92TvJ8S/AMJUv03Ak5l5Cm2hd6CORM2VE3e9EkY19zwqsyRCley7qgoxnUAP/poqgn13wj0Yso0WcN9BGr5fwngleFwa7+YOvov8X8J7AhrwMbhtFG0q+uPVbkx9Z8p+NToogPI6w5qsmDD8MZ/S3l64iRWM8wrWaR+aIE72LBKlmTWaKpwxUvibC93D509kCLg/iHfjhUAQCYql1OkBjs74Ujdecz/WWka88sW2sjwqr/xDocjx0c+0QREea0bUWODsstng4RPLcxFvWiZpHDanw75VBOxmgn+xyM8c7Q49ZDnCNVXLVBfE8rP1eiPdEpf7gO0pFoZJP89sabqnkaiNlD+nZPY6EPJ8LSW69SeuYY1fET08MFcte5VW4rnxil6zrbmuKspM0Eaj1LrJdocgytPETPekuvwO27d8bGky0Usw9GU+G3+Bzq12RUYd7LpQFU8XdAeXRVwydJJXhnBw56TBDNc5wYcuEVHXOfYnS0GdBylzHZa7oMd42qSBVVU1oDHk5xOSIv/6qrIW7SYB4WuT4Yg4oxrZRXiWgHF+gdTsrMlLHnJAYIj3gOavn2Eol/auGCNCyRw3LDga6Fu4yaoGxqM2FTQk3ulhQ7opfAtIv5EMzoHiHLJkT8C2V988/DmrZ11YIZ5bHKTuFwmYs9jO3ZOPt1GhV0ghnEYJZPLu/DkJbeUDLeuiBcff23thR6ZnKfRQvr8NFlxVOxyD8Qmuj3d4lf324tdJtJxluv195iVUqlv9CgdPpeKQ1bhg1lzlHOnC1/gJRgT+Wk8GJFTwrZeTe6Sq5YPKHOg1L10O0/8ibJ3V5MDpVObg7X7HrvQD7Tpe/QNOIAkGy7AQ2k2AW6BMCSCnW3L+AAqKQ46dK0IKzrfuqRFQyPWWfsXOh/2N79H7RXM1KRm05Mq5zBbRgXlhb+zfeCTHvLe257lzu2y6lpoOL2dCR/h5kSHULJgIkLGcGnKb5Fst9kGDXurU2OYw8zNsHUsU7u1LLAKhBz1pNenTUrkyT/ALM7BY/+7tdj2PC9VCRwfgnlul7UEFSWuZsAsPUc34ReKCRxzQUWEDL7as5RP0lZ4K91ydgvZTGZAXsym/IQfEC0Y6insmEN28fzDXE/sK0Wv/SheN+NW51ildTCd4+Qrmj8tRgi5vd+u5R5FyC8//HM5WUmwjI7ObK9s/yzzmXM6eWO23rjS7JPtZYfxhUjSFCJjtpGsbSWEny72KFJ3qj0yHAMDSCtnb7t/oj62GOoPbBp/vfG/JUEkeX68uV9LQMnKN+/jS2Nl+/wISCgmZGZwJOD7+3hZP2QFlfjjFzVlMALBjEbMntcPJlgHI0WfDZ+FAhb7DOfyApodLVpU7P6nda0XZawTVnPKxaD1aZ5fhGwdBV/4UOPb2AfooIQRtcH98VwZlB3DdXJ5mxeluyqxRp9qpRc91+997MeQssdjwySTGLOTAbh8ykYGXB6SidlWD7eF2aArk40h8y05WcUmpCyOnuMXyoAVQJEE0hyixzitvBt9y6tx//g0vimoiFZ8dfdByrnx5C399eRFrkbe+Mf9FMONPG0mo3o0MCybo4CaKf/cu0f4dfj2NdY38f1t7BUhrQJXuLi0qkAFs+ZP51lJ5CYn0MQMmf7tugOtVMzbMwfdqNeQIYV5aT49G0977KFZoT48USezhgNsUQpytK6iggxADX1oIrSqmX3lNTj7hW7IrjO1/6ZUP4V5B4bc1cjID/ZO5BULXNwMVWMy+906rXbQmQZ31Hpfcl399fBCB9B+4DOMypHCBhE828dLTAPUcBPDnWzZUcFdG0figop773w38XkYaVT/at61cqFVYOUemRQ8t9JulmzhvQqAC8eG12zE/UHikanqd+nOQ3QpnAUf6S6eRR5xHAVZBR8Oi4MlZbXCQ14eXADbsYiXzSlYIQTUrLIAKGpU32qP/vkG9MzJIrW5mBx/xhbltsQNunt6UwbktYnCxOzTFihimKw10h8YzT0dunpW7TFEU3PooLWtVCwbSbWATq/nVswrGqk4g9g1ZlM0OqFpPM0l2h9vzoztj4/8KtuZ2HFzxrGrbWd11tTUQPhyzz1BRZcLzs3W4g0jQv6xMQCOrfnMt9AnYDX0Q4Vouesfn6q9m1OpzG/b0P8FDs22Wic8bWFrJPplxxmrxgFSxI412dwLLZwtouV0ADV01hYxggXBpRafCE4bJ1VgEf12f/Pbw/vxBcstBokpMIsiiHOcIYpCJbzuTXyjargupHk1OKByeyrUUUzTccdLphAjoa2DZ45lyA0CFJyHArfibIJ2lnaPSlAXCwcUR+iwm8/q8l9jxkE6kPylMjWQy1QmLOrhFikIss4x4FZ0wCU8mFf05m/K1lxiBw7DpCdmz5HgY63OpJsWsc0eOJ1Gd+Bsmtoj7e5ZmiaNGUHQLW9FYPy3uZsdcGH2rqZxJqUVZZAGSKtbcDseSsj9PuCMpcEKu6xeCSCfPRSP59i0CB4/QlPD72Zm5Pxhrqu48V0cKXV9VVBBNJFsg3mhcNpj5hM0iqYFBthc4ESmafPFPIoq+fSQmOjFagOTsXzmifLczU9B4Qo7pSrsXU5g6VYIzJsQfSEgsEn7rQ/l+3V02FiOX3/3p8idqa4772L6NQuwq6nYD01+VQ1BDcNE3CPgUtWAlEKFVh1Gzr2TbkG7SsL+gcjvVRNx8ixIR07XVhGx/9GyOIDsacxnCcMf38vV01Wl6yQhLt3KGFaBngzlHkeeSENiHIuZUsYUZB3+Mluf7Ss9w+oPaVHw4phlGY+crQiRUtLr0Ho1qY4j6uhEMFui9f8AkyxgAn3lVz8YRLxjBC49PQ2zKmqie6/uP6snKGLykVTuD7CnM/YhvjvqqFYQ02D+ud3OFQBQXXFnTp/Hfgi6Tz8ojIxyNyxaGUc+7jJD4yUj32Ee1XspuPIuHLrz0EI/7umhpZ9vBJxEwY+fcOU8ybefuWrgNPw6bSOApth16lL5GO5sQPURHVdevHQJNt+jBk19BVX+DYbMoHhRnGYMVxsY3FaTeTDNck1N9ebyfXHOoUdXnpjoX/PtQaFsHiwCvPbe8/d44U3E6OV73pYxUZEQ/moDQIZNrfDTH1p2naE8iHVpUCWfrGvhRf7uRNNniijbpjAxpixzRnxvUY6A/Nl4ht0aZgzPZ9t3AvuC5DlpIZ2YsM60afcyXDG7VTWHzlAwU1sqFLYSArh/VImjZw9C/c6pLGP9Q9Nl8ZHo4DAGrDw8hOTTAOEX+xcSOxch6vKCCawsgCAe7krF0Q8hcyoWf+l0oJiCSCRM0IkLk3psgaO/0K1StZ+6Q+RethF4hLEIOp9g5FrypFOv9mOK8PKcv9wE7E45HV1JelmX5Hl2cOKR0YYYTqaDd1tSEsE6biVRINYv4XPYjypExau9KYQn97XpsAco2ihlnWRLrUz/JW2mp+1oTkC8KgFbpv+FvZmgT1Hips2rOzYuSP5bvVBTx5RB0b3WfDkFdzlXVke1dhI54+kxr/orW6kK4eoqD40RSdDTP/1ehz9aRqes5ekatGBojeeYUQINXOocDAJ6v6F3cHCO+EiZIxlNKCrbJaPhSg6IjgeMPYJ4j/bsAewXV9TFSZI/ixrBqQpBtCI6PFWsTD1j6VuWG7+s9HZY90aOGA7aneKhYNwcoTp86vX3o4V0i+4zdeVmRIX8UWm+9e10ZMbH/uXeH3E8f6c1T5orGNzquL1Q//oofPibhx7qM9to9bZ86ss2B8KCFvcUy+Qg7B+Yjp79WeDFPCWXokfVHD64zIJRq/33swNmlFx0eG0ox6w1ELFdO77zluROmg6UtAoFdX0HIsJ1b9QyoXSpXD32RFYcwrKaPJkjRp0/EoRuIGEdbSrZ0RHR1OUHgfKzLvxw3Tu8KIIXr/ldnAijYhg/6TiihOREZ3ryXIoYUn6dHMoMk2lPVM3uAwjesdYfUHt7aSXWDgILQNkynd0Cl8eFqAY55ouybtcdJnPgkCdINhNxmCW8mz5CkJLms8tPq/WLwHioVsIVtL3xp+7IOB7M0wylhJoKhuLAoU3GZCbDm1FLlJlz2ahWpF1O1FKOYxjciFLWGZRjC6RMZOSyvoQZ96R7OZ818CcoO9Xo++264Ac++p6G8Qw71GT3Kc6cRusLNMPKASgkrXs0w1//CEItgbXOOKq8sTLaerSRUzrQIpbk/S8yuP3inALF7F7cPXpe4n420b1DflyoHTKLp74eiXi5185yVeh4jVov35ySuSvnM8lihsge7CTAUyTirjSy0b/bW7EaLjh98gGoJivGrENwWKbvNiR0ZvJd0jnoM3y8ULOxBMlFEfdnMGKxoJu6/lU6Z8apXQ9Z4xCnXfEgM6ht4drpqjEeAbeSc55JvhWCdfpBt/pyVdZQkA/zSWuPFCOXX3jARh4Wp2WuafA3ln8c1clJelevJtI4HI9qEyObI1d2qJcZxuLRuuAV+jY11zQZI83579bKiO5uIlMNwWDZNrWwdZUrHGRun284qerIkdRdkEXmF0DkLlBbYkthK7c/bzu0RirdEyV9yQ08ajKqnZ9L3s24Qr9bYzpvL6j8NDeULEWvMSlG7PBFirx8uS+ziIAhX6yQm++wEsRsY9HGPHDIJDowzxvSNBD7XTj9fYm/bOfbLRDSFI8tucoycsBb+QUz5e3eckqlqk7YS6QKvMO2tebr/mtLFhxUFhOqPB/DEpNHLKypS2PHTDnQDAUzr2KargLRvylSamKCWLBlRx5OVmmTK7slhC3wLcHl5gYg/cI2ITcGux1V/ZCRvra9Q1shnDQmdPyzV61dFhZL01iubNHhVn6t6o/oDe91qIxiVyA2VLV/oo6HzA63uwQD/BjNL66LVlI3n9OLtF1LhX8QyCRtshuqvivYc5YM7LdDEJ1l9K1WxkiSoTRUVJxYwOr9BDBQKmnHHE7FFqn9xgROdKwDbS3OD4aFQ+tf6xEbM8nHydtW5doecz1mE+mpUXHYCKsPwqfKOPg9XCHyDTRTqNf8Y+DtT4PIuG5adbuoIkzsDVnbsT9r1GG/UH/3rUnfDbgNZPKjUiZBFV0KDun6rH92f678Cer9CEt81zBi6J0TyKkOTDuQpxF2xjQVEJ/wUPyyrCpj5uPQQt5IttKos2VeJqn/Pexb01NAoPICHKDx1XOqGxbblBvc0uB1F+/z4D1NQqlWa/TE9dmG+Ffqk6+iUB9tTn1kjaHVcHadNtqzqH7TN9wZBrvAKZDlVZRBL0/IxKbxGxtE2r/xPCvICvJYz3dm9T3RMrbzIkWpiYRAZU+gnpGCqugLd2Lc+x+8iYdiQuQf72LndY0eJevB0WKUw4zRxM/sACeVkxfTTyu39J8aodqUlodm7h8OwH0T450hPETJpvGWcfAnEnpP3UZqZro/kx2+E4ceYN/UuQPB5dLPxhSIIhJBjq7wUpqxi0tb823eJeRE98RdTM1vbJQd9dKdcd5/V7ahhTejeq5AcNBfZzZ76NJUoBmzb7Qd7tiQl8NZEjkx+wkv5RhWaW21wBHxIJYr/mlacKIBufALSfk3az1FO91sfCDw5DROSWAWiagK2irlm9Tr5R45TS7T8Biy+/SpK7+Kxd26QRsmgE4zjtQ06N7BaZrOsu4Nn7qC1HmkdYbcnUIKVaUpLrUVpo5O/SXg1fgCZCaL0/JvwjKrTpKDxqC1/nGuVOsVHMaheMDGOuLUvSxkp+vUapEKQH4hNX1NRfjEPid6Za9IVwlbNeSssr7nSSlwEZvvJFujTdY4vX8UUrhfT0qiIkwHCkm8diLvDgeVEBfyCgEHB0ehaUwYtgmDFdeVH2XPHaWeNptAbX6kelkQ/+c+8tT6HxMrnpya3gLUxsJhWfmjNCT7NnsQ9KdgcWmv9UWLGYcJeps+Qe6IW7qJptqM5AYFftlRxAUGHW2jFd14aum78syZTkYXgCDjNIF60QrJUnSkrlMKAF6xOkQ7MhnGvD+3o9t8sgSJgNzKBcECCl8p3ewb+YHwoaye/UN6QcV6dvpOPUtXV+fyHCKTfmNWOwHcxPifTjatmTeu9d5W3h3C1qXOAw9sv8evTHHHt0g4utZt7hcgUfq4YiMw7kN2QbCOA0RmTUXaW6YbkJ3+lR6ypDgDkwvHE58Nx1xTw81Rk1rQRaTT3YwD1nOw+raEA3WXPVaOpg62gjwpm0jfkzdEn5qpXl2GmUj5n9qmSi0kYH2hgEY+OoM1jAY/74woa6/Vfe/50USPG3gMuJbFMp4QFodE1G1Sm9xRPyPaQIyXjNl2PT+oOyTOzdLNG94eNPQ0WR3E85CA8+pXPNTRgWcMWFEcCvDmms00j5jmFNjWFNOCJmFPlIVYPw6MJUkYWiy5Em27pA3/rxhsMgPuE0OrUj6iENo+Ib/W++B98M/foZmZXY0jw5z9P9zzE3/Zw3OFddlooG571rOt6/Atw3Fba2i2G4roth5KnEqPgVmI/91vJN2MNuEj9yRu6gW4WkPu9VcW6YzI6WxRsax+5k5GIPYTCsIro2RSzacEvZlzrbY1V//JebAaLDmRmu9M3wXplMiKKVaY740WY7W4hiYauB2JIn0KFTa8jwP0ENQ2Y7Idq97fnHt6Nf1elk2anL9GY3HszOrb6tTsPWukS2b9W6EcwgQstwurNm7cWEmEZTYtY9K3dgOP26k2R83RPUZPOnH/9BiAOM+uATjkl/1/EcHzYFcTP0ACGAoWvuWAUNIPBkarrDWQhD/pt2qSwPb3gfAzdkVzoQ8YMXqvYI2Dds0BQa0e8a44Qywod99elEFqJDbqKNL62772ITaCAo91ECkoHwR4zTOefYsXDeh5GsxL1GIAH6gN/PxQwQsaWRQJFZ7QSe/oijV0t1XvEBtpOociVEZVwvaWG2d4+dQZPBiKaezk5Tv6LOcxg6r8MyPUUiQPwW9depNKAoizAH1FtmyZu7afriZ4AS5fn8GxBj9po1hOqPufDuMmjiJQ6cCEkbuQX2MEVn9VimaGTHhtenScKT4CPCG2Gudq+kS91Qd0xcCP/CEg/BXp9SPvS9BwQ7B4Wq0E3yeDG11FqIYTL8vNdiBYZgLlZX2S102tpowsrbKz/kMfQWN1rXR2oHZnwZMRS900eLhuXupehpO2UbQxv6oERYGA7zXT+rhquBDjd+oW0oA09ZvEhwC62ujTTVbUFcPN2W0eYuwH/vPGFRULfNbsxnlYhHQYxQEpjhX4fu0ABXmhz8kWcMJu+SWYgzhv3+uMuqymYwekKjciKbqPzmAYo1GU14FRfC+DN89PJn5X9+p2FJ81fJFCv60TCMlD/9ltN1R5nmRw9w7DMh4rabq2MzSUnPtPQ3+hAiVDbwgk9/Q37Lttk+ZVxj+CBB82ZXg2B1VXEFfR/QezZsDOIxHIO+dLPs3xWLIRfg6C92+w04qk9KQlimkgrkXT1tOXprpW+G/zhrAIP3gE3OBdVIqweROVAYDOnmHVHqmMUNu0rjOtHYSWAeBLPsXDGphJbv2EBtre9JhcAt3h5NqIztZBMkKKoWad5ZbdSMr2so/HZsCATpWAVbLKKGQAxkb5l488tBNthtL46DghsdMBUx7atirsr8gGfAQ49nqzzliadr3mG+t8lqv3H2/JZmWP1gOkyPtDin9nPFpG5cTSgsd+hbzXqmVMEel9SymQR2A7+VHqUEincyFcLWGLDFX8l+vw7KkVnjkxcHdI4xeApsimZhHqPPr27PaiOMMZV3BA5LKUEv1kDD+BTroCKN3rhRTzj26zgUZWTI1vq41wA/voE7HvhFm49k0Rr2HoZ5BxeHtSqB/giTC+cicI1hye+Z5YnSE1FmWrpZthmNVQ6cB2R73pzf4KjPN6vK4gCnPL2AIBhy6FQzKKb8uqItjOUDkaybaG1Yyr3AZB8D1E5vBT+29gsdXkfPPjhjB5SEJKnNlvN6AbQ6g/52Genv0hMHyDq2LvjR/0LGv4msM1z42MSI+FTSpEYDr5JvI7rE+lSjk+5jWwzpo0otqfiCH+gm5oq/m0PtT4xStZFLVj9M2g2Jtu2qQePH8kDAPQQXNJ3CrWYwlCbmUkxW1/LGS1hy+6cP87fkSy+Ef4APhWH4+4s1MlAbmKlbQg7xCs/rqHeavQEXYNmpX9ETaNBH502OEFQwkLru3yqrmk9xwCJDAHlnEDyGnbxcYdvi0paOImeYVbfL/CVDKHTvHWSMl7YtO87qVgJK2O/syLqgL8E+3SZO6sbXQKMaDZLvsvlZi9mKViqC7jpiQ7W0x8wYzvN+nHtYhZ0EyNClXfxH5/ftKmqRO6NgkbqnvjVWeSk5sERA+BQuIFaeHwraLCjexrC14A/hMJ8NuMzZd4ELuptuJ4umMNMn/ZyATs+XhDMcVUt5894PXweOVXJwp1qCL2p4ZSVOqNJeyLw2+yfNXh7ovNR+edvEJX/HvN4nPo2d3iA4zijLymMPa4mwU9BO9DvoXCb3Wuop+ktH5fxKhj5FxPCSkKNNboraWZ6JUDuuyI1eq8nyOGXEyuOMU2GHTarb4QPPM6mmROdmp2nhrveb753fARpYhuDOHUScsVQh645yS0ZHQVBlyZqUDbOglchzyGgCVRGLM1AT111X9QURdr3XBoghBcJi5QZB3b2YjdSGIhCBkWQrlqLXsjyBVsyVlKLShfo/o/SgP8ZC4G6I25vCqhFrxFStVmaehMDqAamx4py8Xn4AHLpMVWlTWUoJVzcTS7ld8U+H45Srm7mMakh6Wk2VouvTm3nsdXQvWZs1mMQF8e50DkoTm/aysz2hUH9ihLnEp780LuKjuCQqFONiLnvSLOHPzyBz9i1WT6hwYhLj9Wup/JPkFEVAr/q2eUr7BmfmRTXcw8ZF0GLQkhoAiq6yVIolwgKRIwj59fV8dEd+zQzofs9o8nJNRTErx2ds4omXpJEE+98gOPP8RI4lHWNjFRJpoRsgcH1Tp3oRXEIaqhFzuByzmpVednwCuz3y6bvk9okrXu7+FLzz4/sSJLVqEXA5Yxsc4Jm6182SOKMbnXHs9EUN5SD/qc/H0DIv6V2yqJE4zDeTq+w8foI2PGeAHyi4dOFCrKiO190fcYE9Df61mPTCgNBpsrA/Hl3btO7QRbicYBM4atCAHaC5wFpg2wIF/pm3Cyxb509DSJI3gEZh1/Se8B24O9VI7psZUwYjPbbXsNC/5cVKtOi7JyCQ31F0aax/xMKeSFyzJUoONQi71XEU1yKxttcgnMaDQyt1bqpVTlzGJ/Rj9Xh3thju/SNqS9znUsWcC8PLqEy1leF15D0y064KRdAP5mQramDj+vRoFdFevaXAYPjPp7JgY24hMdFOkdwNqdQJwBFHFxJrTVfb29Wm/TYakb/HvnSL8YsRIjF5h40Xzy6nEjetH0cAQrCiHx6KOOQ6m5Wo2XXxc6mTU3nnrk73N5svIwm5+kWtEweU62xDPzKfpFIimVc+bJr+b7rn03r7YnYzzFhkVp53UjAWn5nt0c15zIjSKvGewwu3livELRid7Nn8+9R5by2ZUI2Eo/sQl342g0CR4tMsJJH/laA3mrUUXZPqMwugXVQGngx0DAI0cHIuijoYA36jpai5GNK1rc8qGgCFYjcY/zdGisrZKBfsaVXLXMrWj2RR1N6PN1HKCQSlYx+otUwE7R1YbxeOwWukf93hnjiCyx5Y8ZZ2NfQ6IIfMTA5WFxkfeZ4K9IQY22VREA7ZeaJBQ2XCaNPCcUWpkvno0K7WSIUr7nYZIYqtIrEzjFXEm3MCAjLW+n2mM5+CceZHgjh5aGRv9JSBVZ1QXDTlE+ppOcvQLAhKIsHtF98gWX7juWzirUc0DorAvtovx3B+nLRWmm5iVTj2YyabB4BfMLGJlLKqN1rcUIWW4eefjNbDWpcFqGYuNoWynABcp0yXL6kXnOzjW71mjY0NMBstbvnOeheL8K3qzoBTlvoyKHY3uSWx5jbff0Y5dc13E8Qk+2LJ2v4LulQQ2boEHPGIn86kk/d3vIGu4lx1YcbRUnOTQvQX73K2I45FN442xbjl0rMIpDlZkcIfXux6SExo6TWYj81T62oekIgxvRRB30lV41BPwqDdpkgBUEVYwEjfKRyLOr8tgXZvQJpjbYcOUa/A0Yeprnrta6Q4qoBv62ZSucofjWldGBrjxNxB6QZU1qbXtCzr+JRGhhXPw6EoKkSZ+jwCtR7CsbDbA/e3B0rDET0xzDJiQaza4tOc/+Km1AeX+SpW9muJ18J78+hpGJ0nqBKs12Ip4sH/37TUlG2fSc7n8lvsBB0TkJeNGb9vuRbjT6f7cYJxq06sHCUFCt2foPS2H7aK6EICCQx653Pk9cFr5hvf1/lTBhLHX88IN6rE8L9Vz8riZnTXn9MsQIzcJIFHtTt5oU91K7hPwIP/w5sYeVlY7zaQBuUMRiaNqwSe7jMZJpWmfC/Vs22R8fYX+JDhWQ0pubDIcfHR5ZF0CJ/Hu5uE7/TxCXboNsMeadary78WWVZuhxq/9CB3GAOD/5Cm7jW1IsCFgb2lMcvl5rMexGeEj0Tc6NmrobQAaOF4WetHU6yLL9cBr+DKQJLE0ZGg+V97QV5jmpjVoEUiNv9nSLdAKEtp2UqO6c8l3T5hfg+9DRgF4WtsMp+ENzg6HvEKGc1x3zng2OmcPkVTRlANkiYe7zv7DOEvpHLL0Hzhtarhj6fc6ua307InyJHqcUH7p1IjURMPr6BsfdBuz+gss2R3lhKC7sI4x3GFWx7N9dCaFz5jCXtnMgs7qdedkk1JQ85kKYcNk73HwewWuSqKd7lPFdyaQviObauyqQ8J5wgpURwFJqerE7xE+2qkEOkLOfzYHdKfkRM69jRvLsfkEXev1LtXaT3yNR54akMKBrhXExy4TmCnGne1Jx9VI2+IVPpYsB76kQAZ3QaBsshJri3hAHY3mvG+TOO7Tw4AIplToK/XxiQBkNAwaD8CRAfcZ7m0LkOd1RefInJ1v+SQPrGrW0Cwn66sV4Nvaq+t9/ETK2cNRDG8dTF1FRJUQ7waJYOZITrh8PMKpv3Sgo1Pp4Fewh6cX266GEQlPxdStKtr9IYtbVnZJusjlTi6ov8NNZ6sZqS0+zVHKo3ttftn/URGLC7lgT6BLp7c5PKBo7nCWsKRGE5mRd2ATE6r3cqu6tBJbZhlt5TcV3PFVNupknxSe7hkHZTKT8TFN92PiRlEV41ySHXHhft6DJCDWmFCxmeV0tEZ9ejSTFYfG1usy3Vt+aidDryq6ioyToqwFA4/md/00K15fzhUOgEv7H3AOE6jCflDfS24KOAwrymNLXfNbPRjRjy+LEyXjv6jWiFjj3xt4GIG1t28HO5uXChutKhzc76YJIHbWLyYnakFbmTvz9JZzJFrUR5Uffs4VYgubGFqlgnilFDhkyzKVEF+2VKztG0JM42z9UpdRa6tXP2KszY/EnTBX4urONdqGu6SzBfmap2M1akNpy49v19tk7keLbKp5FFiFpB5AuEiyTNoJxYo+tGA9j226A9dLTK7m6m6kNLQKFSg6co9qDdWN6F4wbwaIDhHcneAFVYwlPrh8gW5CbdoD1dGQy8npW2zO/MQZuYKYPA15shXg/kiEEsptc/XV+N12ss3fBNefnsiLYKzg0o9zjjuV0ONM3HdSMX7MuGfJ/r9Z9tEWsn4NU5AiqGwokMTn3HKn+voRuOBLurPLYXgJHVvtkXAf4GIQQIHO81Wnahl/LiW2qI9F/9+2zHlUdVd/Yc21kiJPtwIRgpKYFjIJ+K4+0zPuLL79pPRV/0sbdUfyvIINoNJlNeeK+Ou4Tp+J1IjIE/zol/Vh+fnAWByDZJINUTklCjnWHm/ZnPD8+/2abaLBJReOJdtAh1h+oyy9BaTX9Pr/A4IItmWKfKf3wiglUaY7YHUBPWGPfl3vuHsqCDF5+1XMggHQJSpWn1D7jApWytAoUVR3pd+96FJHqmM8z8ubcwSX5wRD5CZo5amKEWGLCL8bzdtMHIJt5doh28qBST5RPj4XOvgXTCskQzZbbswzj9TP+eQ87sVuRxbUP1A2hGRH65bfn1uijLJzcE2QZtOGK7ugjNGN72++0Jgzle8IQzH3ITZ5I/9K/WAB46Ekt1Uo8axyoPmdyJLBN5spqNfvu4VP/FBoiwRoLFsP+UQMHu92hY4HC7WUjS3Tgd+eawKii9gBJ8orHXra8/aWcdHrUPoHsjuSGCCmH/Bvg6OsuoOA9ON57Y6zM2LMOIGrPPO9/+7K7ar5tqlxTwoS2ikxKtmOHLzzzXcbNlub9YDcAMWnbiGdLMUveJCrvoD6WMXz1h1/o4kdaeFby0HJ2WeicpZCQEJAC7g2Y2qzIqsqcViwfR9OQ3mLCApNYbhs7q+fgm2vntzz4FEp6ASSQM1Bz9i5C10eRZxOcZ9XinZCwIDdufA92nMy3lbQ8vWLIIliMm5P+j77wdoVGHVtqwHl+w3W9Gx2iAgFDzW/dK3e6vAC8JIPIpuGdbRkRepLAyoXoO/sW6qsWorK1+9Far2jsMazpOmUtpWlpuZvJfxPMXB56TSMCd/PMUk98dZMAB08iLTuJRksGacNyreMbVslpLrq4ajfpilMqLt3lUAzX9sLN2CX3EzOrY5fOwEe9zztRLw9ShzcbqCXPAqWawXzSA4gKfN7P8XkvKWlgDSld+q/quK87X8b2MRI9J8EoEUMTwWS/ghOtofpqAR1hcCc4Kr8gX25Zj0wdNcYzakvPyesan5qHkQYctqVCmTR+imFV1nsV/nfzeY68YG0cthiYJ6IcXaHe+PRLKLDmJkvoXwdJAOlHwo4lUch34Mz4GDmEs3XqawFckA83+y1qlj3jtrPrGJ+SG/za7FwqY19fTAntp+tS7jdHgBXdniLDDjs3u3iKrAbB/HMIn8kFODX/bukihJReWLiCQkPucplfRbfwyF4SvyNf8CCBLnAK21+pbQrSPukD7EFQfMZ6D8U4QHpeFVjTw5QgGMExA94eMJVaYN2AmtmCKEFtGV/kzx69YXS0sQSvveDl8c814i2pvI5gv+YiZiUdyd+ZAV2yvqE8qgMT1GlKp/Ty7jE3f7lcoAifh7beK/lSCKRXpLL52MHG/2wLc32I48b4vxPbvA6ApvabLN7BCzEE+TMOeh+pXo7+VNJi/07qywAJkyS78/wvI3tFDNkAS+RhU71SRViP7IaCU2ti2HwGLzKWQ7ZNatM8V9QnGtp80OMpXG0ns4VGpmEwJQU+QJ9rrPElMHN3mUsgp6msqFNAYFmjhjHpMRF+CM8RncMplofTpXkQa1ku3k8K9Qb/zVfYe7HHNJ3uFo/FApMlncbxEwe8qESPKv4uM1hGGhGxb+K5nrHaVekiaQnqKnSNAEnJgAhIDX90RKI2wTFNl3fgljPw07oFKkQF7DR+R8DiGB95IoLF5P1+pQK3pz5MxHtyE8i43Ws2v49oIFzMn0UBAikoINA1S/DEW2op9qv2WuscRAiACMl0Fgo3PZkj04vRAlI4p152EbPEJfdL1HvmHoekq6gcz79LFEJcIigVGkZATYuyHasVakeiIhVcQ4P+OeYiM9aA5Vt+e1p1j/wEyRIL1KBR3a95cSYHSCp+AIEZtWxGmb3Mp5E72ZLdWNatVZU5JM8tVLVmbXTObW0oa2zGAP48qqHHV6PZDKtMNZP9Kfh5+fxG6MSRIf8zDrM2mXG6ttnGYM2RoMRu/P5T7UQFMaiNwkOi2Wp285pxqcFdnjPN6trza+yln0qWzZxJAKHvuloVwwvOtIgZFGiddaNrFFmR8DNI2SUPtr1tslOX5SreINYINxeiN1jQ8vYHL1paltx/dHzbfcABmNT2CsTTKQdkQglByRKlI2rBkHPE4Gn06qP2GXR3gkXyk13YAteC0wR9/Nlo0/aW4iUugZDtzylU8qn7qQe1PeEIlBycOQcAXYAQcqXe8qAaWCajWN9EQH6peflKpYYNXled6Y8wIrzzJ5a4eRnu2DYVnwaxp98MBpevGIuyM+UBFssdqrwbpW/W1NKkf2QGi7Z3UNrd8IGq+dC00cgIqeP7jQ7ucwg1Y14eChSGWuA9dTungUW6x21Kq3E7u9PmIKKFE7Rqat0lWiiHWWmaAu6d5tr7DDjk1nCYYuT5cF7HFuDm72vP1wjOsQqDomS5kwGK9Gp9floiVqvgLEcnYI6BmpQEZRzOHdA2gazv4m62zJ9SWmg+sqsTCm3XzESct8SPrT2qtfxk28GYIZp89gLRGDw7EO9Qv7kZuUJHab/c/hKQS/30xYn92oqhYZ+QjKi6KP6VP9BGm+8WlCQ+c6SBv7DC/F/z06hDcvte3X+T/aZv/2k01Z3XNw1R9v8+lbQZDH3PwMNkNHU5jjVu/LfJ0sotZrKvolZSSZ9bzz8DZl8SdaR4S2htBlf5c7o8AupcCA1modXB2aVlvvJfMXQc5VCP7f7YvoKSmYTLicohUyehfHm3Ax/bdM608bL+NGXkj+S8FXTht3jgbT6wgN4EadlZlfFg4dBOtFIA/Hoh3cmQEa9y+CU5ZNWxi1jHib1WdZi5eeew/BHdlNgK3F3ZbQCN9dYR7MIFq/L0CXRBrtIQEoXo9m670vdxZ5BEP3eXCgtX3ftYr6htFIl3SUpKqklEcSsFawKSC1YrmQ0MG1Ozib3R3DfzSYp0Eie+L3a54F0OW72voFMlY77hDEedB18eemW+ExH3zRc/JtNQWjJo+BFlege76OylYYxVYUnPWpI/NahTVyvaeeRX3yLA8iCE90RYcfFaTrV4dljXDccrdLuCnQMQivQ/3MpM1k8ybXtP/vARur/j5JO3q4NrTl+qacn7RS15c+0+y71IHeOCuiaCDD8ym0p2FajrR2LBHkxPtV0U7ec9CYrjsKFynj9QOVYpNkGMTa59HcVCY5Yfw+sdQOZZuerdDPLxrSSN5gaBIvxdF6h07HzGdOGWJ9XQgBahMR5UKgXUdaloOPyOckM8cYztZTIhMhCcZQjoigDCWgkkBN6Ix+vrjpevZRs0HPKlb5Cinxfygi7mqzTyUBU5/MxN2lw8Lx+EKFgVaCvw8aiqv1nMtT08Qo3CKhLrW85JrTLNnMcG5jIeNwUNQwurzAhXWGso3IKpYR9+YUKfq8CyW41EHhxoelDK2RCKeF7qpBd/BWdKMe6ZqSGt6mjfYux6QjnY7KlX8SiXleZGJLxvWLSpZaE2lKbHbNk0LrxGUBlPFxLNNwU2e/jyCcASDiSEBoTQaKxkR/6faQt8FUbd0KUE+kpJj4zArurDz0j1VT9cjViMZCCbmpjTAuKeTb8hHW2QYA9MkF8zGCnbEFBURKi6zMa0TBqYN4YET8wkVSdKZWW5zakQnTrhDF28Y+u2DDhKec5qNfWTZKw55Xp0SJsYOsw9RoIxLeIWyBa+15YZIyHWLPjwg5+zwKMHc6fmFLSUPAm8JznQtBwnTOJ72gZM/snKgdpBPjWEat84p8xQ8F/IkhRAuMQuP/OxsuJczaXRUBjMITLAQJx/d5gBDi1ewpblSQhjyS37q0BN+ig8qul04EID/FmY2UQ5UjMZ7b3ip8BMbxmeVAChx2d9wMVM8mWgCewkQPcHjc8CgMWzYA/sXsT8WNPMM7SQUChZqFrDXTbE1WKrFz7MU6/s+veaQ42iuKIKRdBtsJ5TGw0AhnvZILTI0/B2ATp3RS1Uz7qmWhJXFSPjqsLsP+cFSQ/IP3LkkQSNIa32IpMc1/8PkAKWzYnuQMJjTbRGwNsblsv5qsBpxBYkFLbAF95iS5J+elHwp1sJFvecaHvKh9Oz6yLGTTpviyOHLLXICjiuKsWwWNFICyyGlYPMpKyq2kRK2B6kLDyfOg8pJh0paijqnPzDEAKuhRoRORHU/RgczynQqC50m8cBkOR6DXK7z91ffSUqj8TSa3n0NAxhxEwdm2HEsGJ8BAn80RVXtv+q5TjQNazradSaWFkH7NIPG5o2QMBYLK/GfpFx4lyeG/J/HPL14sORnoHZx1IbEIWPfSgeIGiX6i1BypO4JR2vBauvaHXhkzPy30DvsbeLyxqyMbnGCrT1DmCKdWeCu52iJLg+05uOjPeECTVUGEq32WA9nX8BGejBaUhxx+dm30HR1mLpu/sRnU4XovPF0Z66yYFx9IlvLAznIFcaArjfPjbrHSXchj20bGCEsoo1kcDiKwoPfu159n2Hew1RwYmk5cjheQpTORPK2L6DvZHbWUsTZurj0aaN0mYWEmHkkKbHGivxDYaFSYakjsub/cgM7P/P4rxWmqKbIPTTkYZ44k1TfGN/luSQo73pfvGugutxFj9GrDyOhnPAkvSj0xkPamCeiQQ4vj+dFHpMVz/SUaQUTqdRUXImZhywXSqo/2m0rDkRsccQgQJ1K/EazctTjSVXXG3Co+FCtq2X+WxW8xAeWZfRgudIpqqqgvcznCbHWLd/ZAcafmQGzMiYdIF4Ur3HDuUPOSBj5h4e0gMd4O7olZDUgHC2I1y+SdYxsH8IkktLaeWN7JkdvoflciBIBKM7d9C6vSkx/M6zh4oQ8fkoDFb9vPpMX9crT9fWwp+s2DyoblCQMEuNWfG7W2t3mMY4OceGxkpdF13wBPmkIuzPOtfTunbwIUxUN/ydt+uR1W9xByeZYhBwX76hrZOg3FLb1acUzwFCx3Io8mRMC8WSfp+wuo0FYBNvNF9DDJYCy/jPu+60M/enyiirRoEWkYZA4PQkpjmv7uCZ5FginQALIiQ1Vg8FSL+OoOifoHnLFocqzsLgAX1LWSNaVpcpeDLUcza04f7uK4+n6cD7jmClYAXMXFVv1brSeRU4Ux28N9Abndh35GQhTTBqN292cZx251+KmSY1G/vOHeKxF/DLijO4KR4+Lkb+1pCQfKJD00/UVmYV+SEm/+xSW0V84fzKFHNjSM3WSb/NUdlsC/XWpRcg099HlL/zQggObvw3JDNB7n3KBDOQbbqSufFRJsfduXSaTE5X9dj2CnbNGDNjT+wqW9ta/aL1fbPQT81wmEYn2OWDZW+kqa9Vl54S91WtgAwKuc1uhFzinqsyzp3moQM9HEBIUR09kmODjEClb11QCpy7hTjKX6JqkmNcTkS+GUJ2M7lVABjp8XhD8LQCxNNGEwh34y/Ta5Dc1aljDN3sMxmS4tXqZ9Bra4QWq6hNOsA7Ug3Kv/d29aytmlZ7GUW6isxBWmQ0bcdS2NWgfUCOnEGaswXKWwANH47+p587uDOWjOsv+1iebnfCAmHsn+P7+VzBGPMBcwGqz/ZNBT2Mxn+uuji3HcQI3NwwmefQExqnfGhfu0cowk3o6WmOyXV/JmGJfWkoJurEVrcT2vz/OwgUu90I6sKkoLPdqA1MeG33VBYkfJgx91AJbmZGtJ44fLNb0/tflXgHEx7DFA1ZWc2Gvdv+T8IjZc7G1oFyhIism56RTLAcsaZXg4ahBSqRvSOG+RAlC1A0vWElIXABC4ghLEm5X+JGmGZkU5m75OuVA5Lu1fwcjnZ06y0rW1AeIKPo7awZ4JEt4YXGXiPxl4CucUT1tSG5AedkcwNo5X+escZ35qXNs7dmyi4uZl1zSzveAGOCYHT492y4ZPXoyHuD/WNyE/wxFI1HEk3sMd0wFe8GBMtfA8ybvxRgEMe27T7zoV5mF1J6CnHkTEYUzoYCFdFIY2QOhP9s6MQQfDUxxZ8n+HaKDA3W+g3puQ9ULIV5Cw4WIIzdVPH2KCnfXXAbszBZ/cbpF/oMCiYley7xk2bpeOEZS7G4MVh8sbpk9nVn/gnMEaVv7FvHURfVht1jES9hrnGAOuWPi4RsNCkeig/Bt81JechUzwmFZre9Rz6I6JM7JhsKEkMbFJV6y+pk+Z2zUOBaWFE/dSmMwLAlFGYEkhB3TUfLXBdPGwtb2DuN22j4l6ETFMeAbaVMpdfvxeeGfiR2nPD8L7MZH0znC0LzqKlvcA8ZCTZiD8CmYXM/lFFEaqWD3K+VdEWPkF+Dg/+3khZkHz7ixEp618AdfrKU4h7eATpB+yM5lzMnSX8PvnPQMsuiUttW8JvOay6NOPiyNbTaO8UMkSax5A0EGkkfxRF8LDRLerfIYJWxPqFAlFXUa3Oe1EermXfU+jZLCffoYCiMIRQi0YvmaJc3QgIa5jNwxgdLqo/wfQ7ej0ldyie273dzUEGzSC8XD+Agm05Dcnt9tMnawvRYtq2i0IIt1M9ALF3ENfVFuNGyUUNJMF5uW6c2KVWqW5bnCO/1LFGsd5+jRuOWn+MeMTGzmzlXIC1S/gVGEEyHsP65rm++NkuMNk86yeBqK8ZTt+tkaq1vc4mBuK5JHZGf/2JqGi66fxwMq66gpvsG6Sl96X+68u9sYalu4oJ87ZcV2IBEsUmUV+UqUrfsZiUWUoupcMNKmda1gHCUQdhb1uNp0/SYXxKjPY5R2PVLl1VkX3V0JPI+H8+rxLP9H8oKi5wUgYIdRxra+39UM8R+TFGnI33W5cbcrdWwAGySGQu01nD2+7WZClW2T/bwyauxkt4Hth4BBMeEGx1S1w0uQvSpGaSrGKJxpvZL6daMIe+KhKft/9HEtTiwEUKREWqilr1Su7YPivxey8jTnMIEj1NVBSPYCUZE2f3RsJyBAULwwtsTDq9Qrp4nmuHiXIxiaWpZxqQ9w9KIChz15Gh7IYzvn7mv89YWcDMbSotGtESa//Z75GNGJIk3q6iRz2muoepS0pUNhCpESayWurEkOamH/o7Ppq9NiK8u0pbBvCtfnCd4+q9ZKZyAA5lTNYRbwj81FaCJF/4MjLlZkfCBag4TsHLagX8B36uxFuD9+klLD7kGd4ks93wWynamdAzwW3/Z1x20NJvkoCg0L2tlL7NnkRGRX2mTXcLpoMou75yAYWNFS+jUo8t6yFPp2oGqkOnAfMxPOOedsJcwNYcdukgXS9GND/TVBh7S5aOaLBoJs4OZwbKsHK9qbf4tm3MHJnSLlp3R44MgP3+feuEobj2jIVOVyp5CQ9bqIZ3of9X087+/HWgn2EWpt7FzYWB2eCU8s/WDc28BX24wSoPPwnSkPISKXdoqlIXIeOW8TjlPdFBg/YKBNVVyq1KZGhW9PR10ik2udaZQh+grvoPyaGSQxto2GJazGOSnTgjlV66viczzbnU017Ic/jGjpu/uD/iQdLpkHvjy2D1eIFzb9am4arfkS0+X7/OZWssn76SunVPKIArFZKWynVNFqUCrw8f1VBrtROlWge/88kGvAhT3EOPU4M28wZke4I9KvCsMoHuW+HTRpG5nAN9p9nNx+PNvy5QaZJqIzmg/StxCAP+Erld2kv0+op+jdbVrcsQekklkCOApqAK1Dh/BJAj14yU7WyRk0eh96rYh5B178eb4ZjQoLg6hBhR5Lx35wL4WZSRDz5QMSbbSrL2rf4QnAUNwHgK9GSYAirvcNNEVgjCKZ1z6980M88YbU4EKQpUBCWE/8k/mQW8bTC/f3uFGZtUyy+NFhwOlpZR7R8rh7cP49kiOUxQTjU+/fg+5/UmF8OL248cYn9lGxNriVIW8YHVC53YJOVqi3ExnJ0NEhcZ8HfYTPT8+cc7MVc9T/LsSosWUaf2ExE9gOslvBtlsTbw13Rdu2FgzkqaF4qWgqYBqGbKWkLmKgXekgWvUtpd81ZnXEz5NJ61LwQ0KFd7JjYOrb+xBKXUSY9yxx2TaYpDTRZC9LVc2FUZGzskx+wnw8dZDq0ug5RAZV+s3sZcWGn4QxMHRXKrYq2EXyKlFK4x3GLo+2Mqc8e155mNQFVkSXK682iZmJ/i0EkinGQKOWZ7a4EFPBKtuC56AaWdJiS2lZ1+H/cOp4X3WS3VU6kXvRNq3YrMJCN7Dnyq1uASzdoEvFss+oPMobMWDZAao3ys+0TabpwqML+QJ8sdwBinOTOArjmAUZogHituFumy5LKFRfXBhRaoDKZUeUJF6K/xYYdl+h8pv7Xeb4zlfcVAcrPn+vDYOpdMHKC54ErL1XQE/cIm7IfTTi1qXOzNmLoBz79fAMoxWbQmlKvT/Z9zzgFLvFVo/yO/C0VuzEzXAIxjFmhkrsCoBIG9XquxGkK2VbEBvkie3s+cpIxHx3BvmkuwXyTKs/xtyyCpuyfhcSTYMhDndPYtKgpEC6FIwsvGfUKTaVg1luAMq6MaBKyZGwEzROj/VBVVGWnMa6ExySdwftV9JJbzXwKQhynDAO/7bbtCqKUuH3h+NdPsMckUrVQj94OsnqvVLZXQEw3k8nujel/a/Q72ahUrogJikvp671qBkLbYeOKzq/CUXzWLy+us51eAdRalgJxZ/0Y5Reek3H2rRlLXrFr7aJ5sGJfgOXK5T4HU/nB4lBviSiKP20K7pvEXF6f2E4FXwa/8csD9Oei6ucV+6yDQbPmvdmqtxTQHrqe4THqc97WXJecEXk0Ipgh5EY9ruUuBr64+FwqtDRmFwqY1Q2F0Wate6YvR5sbCoLU+xCS+d4r7VR1x4U4nSj6KKB/Q5MegCEbXy4S2hKck7pxuVlyNlp1sbLkAEijaOSWqEsHsIVEiUMSFNmA3JxvX5S4qQ1WnOBnKt7xePmzFNWB/pobke2rYpXAc2LtW2CpkqoYB8j+umcUsd3HFmiYdp8Q4u8Gv8u3n6jvhnsmFiGmlb/nzS+qnyO0CMfesabP9kHjCVjBxcdGkUnqYZuVF28gZ4dlMS26G9CyjHxEUATwp9YSuPJ1oL3pREt/N1XbYANq01M+8j0eXDCu+ec8itloBiSawNnwuce+jRob3jkyCoIKcLoEFk6+qOzLna0XGLitfl5tiWkCT9ZFKLDrkn2wBmxB9g4b7S1tXCX2g33ru+cZy8TU3cJqW14ERBXCtwOAQu9MWE9Hso8IEru+pLA3wnB0drpBaqNVPRLRNjQCsLdgu96XKtgAch67FNhJyu5Ivp7dkhvbp+gqp+1vZtU8+n5beSQqYeGWj69oe5jzapDQyqyzQ0JI7m2XW4vh0McFTlp8/wBPOgUW3iD6oZCDHEEl9q+JEcTUn2rGAemIC23bJhV4/jVGLc6Yqrc56j1Etqv6RoxF9HXQtLLKnOHU8MWEg0LoxjM0Ow2X5Pos75z0pJKtZ612bX+N9IBoEhJJLY1c5eUl9QTVqRogfL6NRoGmMtpD8IMsgFx47WpHXPIZUw1PWwSMekXH0YuqklTbye1hycq8yccu+EcGpdQvxy6fRfiTIE1tm+pyWdUkfKiHxAkfWhSLu0z/0100XZ5v1tbadJqokr1EkGs8pmlzWBzVrvLu6zxeH0wBywbygpQnqhy2JSFvvT0ofXEVjKUcUWz55z5i/TUw5LQTFHAR4RY75uXEIBwUUgDI/A+fEJWgT32a6R+1L23RlbbILGsL+AJJu58H42Qb383rGTvqQV2JfwBvvYRSCnf1JOzzm5JJLAOqgSs1i4Oqdnk9e7BfNBff/ryGr748PPSO+wQoaooaTyOYLrYgsJGh27yftbhASraOSHE2D59f6TqLKd5KYLKTXV8a1zWBKjQEYW0rT8Xa9ebG26xe9JOMAc3oHoio9xTCZ1cv01pUpTFZN/Uk3BXjMVsNr+KbUoUv6FfZ/VJwVsH16I6ADAPFwQB3PI1IKh5APNfVNc49Tj+dVY2+pglHeokFw4Zsrz8/ALQ5BwUQtMdgeJYeZU01MrVAkuiPWcRFh7sGDcWx33csgS+f+wmTORv4tbNaYP2wuDinp1yhblvbYNlw4TguLgnPjEefPONU1IAhROexsruYrQatujWiaR1QSlUQHCOz9fcxyT/f9FuKKon6b+u+6Wi5IuEUPU5yFhkv7kcjWfZPqVUl3n67OoUejKvkEY94sZyxAgQdo6xXwP4baRq0DAT26b7eDRrhVl/KzzqMP7cOlXhIv8+kfDnlJskdcjUSr2p/TZIRp/wFBBLT9mm0PzdT4ktynr3U09/mdtMI7HsHNoxtY08335Obbda3yiLmAOx57XAm6JV2yx5LTsaD5V8emuofxNP98w1Edg5g2RUYRi1pcwR40dzMAF4zHPkjP9N9/e9j+FVO7Un5AYUJdWEswb+KyFXHGO7Z5XUQQtIqHJGQQOqDmlT4pE4IsAcGLpKl0/rR0ARjDuA2zk5ESL2aOCWUn+b5BIqxs+B4yqAynAhuMNNIF1nqyW+T1Gu8SFvnzBE8oGHOIWEGPHd/k/AGoEpik6+hL31mL8QolVc2TQFSaCXq7x+Nbla1nlGERVm1+TCNYB2UZyv/SKx3OYNlly/NtWo/3EMf7WbbzuXbNuJgGFAbCFwIjxDKRDGZUsKLWURFxhDvOssof+AFMAMejIzyB/aBgtr6yP1ECW2dxSBWXZIYfaB9sOcCzxghJIaBva0Vc/HSsmw3CMGYbUKc4oVTY4Vl1EK3/lwAr9kwbNu+1utWOHRgNUPOakeOPaXYDgOPfFasRgbUf8Ke347UvSmuQVnl2NQupEoqmdW2eeScfjFzZGuo1nw2yLQIAVefVTJkeBjm9sZfMRBiSECPTnYA3yXVsYcE5InC/UtsFNiOLiq9HBvszVyXZg1KEV2xUHPPzVWINNqviQCgkwE7jIR0nupQxQjQlVpa6/kJ8B2lJdLGx4V9/IbBHep9HAV7qEg34ZtBQmogpFjHFpRTBHWU4lgV0Xjv1+gYxNlzgyyaTU1r0LPLfZNOFRT8P9k2kk7rt+gHcykTxXdxzHzX7GtGfoYQHYypFIMn/sZztm2D9dtN9rpKRNgy51y8E+PGMNoOlc3ms3O+07f0CNt6TsFwnE0Nu8g1tLShJJDKGM15t8U2NDHTmRd5g6qXCtM57+GKrZlijAzvv/EyIhoi69AH+4v3FCvKwk8pYdX0/DSI+Y5A/V9rDUpEw9mEepMlBXpJUGIstXFdQDBF6EA5JZFX7lJMqK+20sTVQHoa/MdVJRUzW3U/ai2DROCOIyIT/6zNYtKiQcYwX8AZ3OGlHNOf0EJpHp1Tf+oR8pWM2hZDkheejtKhachmXAXcxb3E9Ifa4980gSr/7COdZmWUJ8MON2vO7eX7DGGRg8saX9aCANO+qBdyQCvHjV6rWceNWsYbP4dE/NTaT0+Ka6QVw9ns09gHwKjUAtamMNtcZnrabgWfJyrbOhYfnXjPTGz/A5UvYskrpTEdX0yUEpOFZcHDFdOyMDLTKDYwVsQDAN4FAl/u5bAJEf/MvzOaefysFZVz4NLKM0vqGEi1q6d6E+evvY0Dd2oJqWQZ7Bx+6DpcdFdSFzjXpWOHABk5ViaeCTOPOx9U3VGqKr0wPnE2x6z3my3Mn9kghI4/PTt++wzuSU0hGJi32nqZGzodcgTXS6VM2dxZTCavWR7mIOoLFAy5TkGrJYvTmrMycN1VlTtEEqtvGbY6rsBv7jUR1/RjMxS4DMiSsBnQM10HSNy46Br25DJIKywlynOhd5O2x0HxB9aKyM5QLZVvtrvK0I9/T8eYnTZRt2JnI82rlHbMGDKv6ij6O0zLSUkTltFe8Dd4qUk6Ls3gYlz6iUJGg0gqX/efJBs/DwBPMYonGvm0POICaGiapVA/xg+Ofpm7RHhTmhZpq2Pyidwq5z7PzmHpyury1/cQnJ/bAhPz1K8eWmEsqy9XHivyhQ59N9E/4SUANRb2k3eVEMwxrxy8kin/BbcvJMaVMb9DpyQh60CVV/+yzfe8bpc65K2WK4Siy9CIYI5r+Dn0v1L76mLcNhjiwVkeX8NnPsQdtidmSK+tKdD8k3IVS4HnGpMjllCvfNp62CAc90RBJ4MKyrSXk+Lvnh/OwbYA18Qnu6q3Jj920ICH5uobuBrto+xaEfQHXRKGVUHQ9dpCrsJjdhGr5QYA5kFZJNxIi6cWIk8mMC9ZKP4/DxE/YxSIScPXWg2XnJGjo68tBuogt1VvS7kI3isxvNeuapTXK+eb5YP6d6tzX6HPyX0v3X02z6Dy1OS0CdJVyQRnhRpf2AFHHg/DzrU0di82gNMP6VxTTPpdjKkZtsRjWCufnI0w6RaDu3SAoNOSjwEC4geNZoHXB60rgrntiCS+nOQsXU8IndlRzzg0NMeopFv76Qt27qeO74JMov/hpIPpoe1YWO4utRP8a2ReFn3yJdR1z6LbPlwQYaRLElE7d0/YzmBWAFdKiUo5HhqMsF4boTidQA6aGWePvoX0VK7xIg8YLeoU6TgptJDyz/JzK2mQFrFGs0rsl3eK2kJ2pxrGLcFPZov3L5g53f9UeHnPCUYPrEOV3G/q+6yeuQBSpeP71YkqYekgofiq5PEsiUSOsDjYxWWkCWCDczwwKwxT8fNDU+wVoB6nDLBaqh6ZvSKotD+wyvsh5n/0BnuMTBarcY/atCOeb9YPTvEO/msh+owmLBgdyn77DkuQr8mBfbb73MsKrpwQBbJJdVVTZ4YB5vKid2Vqg1+iG/DXRfBXYIjPNY+fo+wr1VOkRb/vjQl6pQ3lqJUCWphlxKxO0dbIedhqo4Dgr5uqBs+CrTqyZ/EBk7OyljuPnoxd2tfUtwLfNfpzZLGJtPs7YhaX1MXTtiQqwFzb2xMwMnL/BeTfpkuiBLwC9iHHmgyniguGAFvy5cVFhtsff2u/PBxosMTiXU1525FrSHbYxJGX19Nlv0KbLC9sCv1Rc8QlD2zR7Ip1FJLhU4m0hNj7eYY7loo2QZ3G16xYlHW0stCnvyVUWe5fLjRW0NNssf5lKtrW2gUMnWO0CO6SdqXE3PqCM+L6B/bOr/rke/TAsfEH27stYAzLxlVdneryZSzxm6K1ZqY/3cV0apEX4ZJj2GUjXcShLkB2SCN7xWVXiBgPrPaivXWUMixvJKKSVUgVbu4EO1nNJPpqvzYFI+/RA4/VaeeTHeuBXnbvO8ZOXf4DZwNoC9A3jEifLgGRq/tSbVeXo7DKfyMK7euR078mQpZ+NIb9OH2IoeWouHKYacRQLWQ3MkG3uGMCWNhcMKbPGZ0ljneS2Zifks6i01mSCOfneTT9TTTg8Frb5Q25lYTTUfWz5ftGeqs1JrrPehUKnfxKO5ohamg7yPsRvteXXBGByKi4Gx+R24DgizAnpRQUGI1+Ltpc1wqhbFim2ztmUL0AnvIEmX7lCbibgLUL8r7DZ6DyZ5SLhFoSMjFILMtZnPmfFTxrQ2MeovBYSEHLCcwsnL1RpkyrM2Q3T/kTue0ddcOTtIf0kgT0n3hhNHJhiptxGt78JF65ubK1dYu6RNG9ggILxf9T6O5BhBrOtAZkZEX6VFLJi3rTv7+xCK0s0+HYrSPtiQOYeabo5B65P+KNK2hvWFvADpdh9ll17pLRP4G7ISS+nx3yY4tlEUnTjSHxTFjgVPwFnS0Oc9hhG3I18seQJuiqcwDE89PDkOfZjG1dHsgeqfuRz+6UQfHVYykpUu4WqMJrXPwZSIYkw3GEKlJKlKMOPGpebXsaqdBE2Z1EEUO7ODHT4VX80wAl2FOIy/0h7fabfj8oekHval3hv5MS1YcHP41z1flTjlaO7//QgF25L5HyEHbYG1xsy61GdbLA8Y5EjDhPB/eb6vDU+qK2qzsDQn5wBJoUUtMJ5om3amczPXMPCunzdHKqXmOaaBDdC9JML1Py1IBtB6jOKsIpfLRzJ9gbZ4eODykQnIH110IosdgI5YWHYL7d7oduoBBOx3dhoURZa0hE4KZGWCvcSoLnONUDTwAWWPWpuyffOmIi0PoYqEsma7zjO7kH8vYMsenF9aENSFJ3IYqcW+Aeqi6ooQuZDe8F8TvboQxvysKhq74eWF51IG/kj/NG7eiJ9s9QfnMiTIf923U2BXiLEIbxJiGNSH7HY5Qz/M0NGp0U2xB5iQkmNRH+fxifuvEk1iOsr2KAzOwmN1JSYbFblsoLixG7rhIibrXeOLSuod0UKWHwrQBFFB7HPRuHf0Yx/VkyhPN+0qCGFEdUWIURo4r2M5QKdfILUM+eqMpSatCpLxZel2DX1Lw7pL2q7JDMG/aqBJQvzQzhfY9DIm/Pcq8hNX5RWIbx2pA1c0RNObbwvro1RSJPPTGi/o5PeBi9ltdaELHQ+xHheulupXMgntR7PePOVXIuCcby4SfE2Dv/iwWVg9zWl2RfGB1NMG4pLOHwz339bodhnfdARK3LEwo5G7zbpOyYwXd+bRO4uaFPzJyGK5rLi9/mDiCnyOML6p/k8NtjtnS9sdbgS9zvwS9AvZ4kSXg0Ejo9UyUhg2Uw1TSwE/MQMMU7eDL4PYCZS1NtwQfk9q9VlqOuSuvW+Gn8V4QQFdZ8SkOf4KkodOW7kWRvMX8ASOEVaUovzbX3NV7Arb0Gc6SW6slRPXkWdrAHZI0nj71VosMa6fnxLsuQ3kScfcKnxonTlZKEX+DuV51oJl6W16rBd4tzJW3kqvhjKnktt4C/jBWIxIRvjFrg0Q13wYsJMS5YT1PTGJDZoYH/2pSdA9+1e9hIJVfET/4jelmgA2uuSNWn7um31iCR4kR+NhJxP1JlYBGifbtxy0n2Up6zhkqYGrb0I3XRclUFhURFD2zMotIlZMqOprOfRINxivprTdIsE3bun6AIrSL9qJuEnC4MsItvVMO64qYyfq3k35RtNPxV6XDFfqS6X821O9y6UXRKCys1hTUWloHnhDPqyAU1vUtZwv2YxWmbL3BWWx0JUU3SBFO4by69MzBsQ+FuTJXyBVlJEa1r31CREGRYyDt+md39oWGzMmMgMok2UOh96/9nRPGu1XqGOUsD+mbv+MAnu4awsG2iz/FLnX0jWche5zLzVs0NCdbWrs9Fr4f/3Cf7AR9ouWM17b+v6SPSDhcftAwpPYvVmjkKXvB3FZh7k3jOcPURdJWKsb8uQXQizvdCmabmJB2jdDWZ8wuhVXeaPzoYN1Kqzf2yBN8+yCUs5j8aWx9XrscCh6/g/gjavMO6xxOyrRlEfSom8IzT8Ms0q9pmHNM/rRxxUr2hSXzAkBECxqdu569M8VoFZj9LOboSdJzfiklCh1++DIRfm/IGVyr7AXrtfLAc8V5dxMpgAz0ny9QhiZj7SmQOywB8/jlPeFKs4CGPQrpTf15ZEBJwb5w97CdFa87kz14t8pWKv/6pQcVXVXlJaj+dYzknNWSol4c4bQQ5fMxTWIVyataFZh17JeLvxta/0mIreD9iWK1am7as0Y72HCfnHQBTJDYCEonH82N7xUZi/RLNtg3MofBAxGVrbV9xzzbjvSQeCkS0ghGfdCS96oiP/s17AXirpWmn0gXVGIMiGSwWUpeOUAQCkboSdVcurdzFwQYHFScRkx3YgdCVT46j4mkm21i8LzAPQkJ+3f8/a5PzWVfQj7e0ymG4YH1dGpTkSWYDOGf8F8L4d0pUN3iEFHonf6QjLOGQ6W4WHrAFlw6TmksD84/vAZ01RxQfLXuNd9KfpUtMkMr1WGXErtWICnDJrsu3aL3d1KRW1duqQISfW4VhNMUmejYC7IN2JEf9i+J/3i+n60kAuJepQ5KymmJAMchQU4e3FRMFAxpNwusXLuzkY3tIGM0JmGKGS2C5J4uZN4v13J1xlL0JbNcaAw7jdfjLFhi/wQwd+QLgox1/pS/DCNzXrjHc5hucrsJiXQ6DQi29kWhEV4n8YFLYuXMQ709/YKJX3QFgRc91c34RVkSjKPDVwHV5xFFUMEJqDhb/Ot8bBcDFfw0EgjOnTqwOugFpA6F07rLsAClj/m3NVlK+LjJEhbSB+LWSv5xqyOquGd9lj2DfheGDXtvb5zP/rtwXjts8gu1/aF8JeEzxAnO9CQUrmu4RpOjUZ5oO69Rhkc2W5Hqqmetuc3ZJvgZTcbH89QPy61gxzAYB6/vmus0gyS2wBte6IqGn0lgYz2jA6BOvIa6Te5lYLewgYBQm4C6FAlAPCAHrGS5/HFzqrerRaZapuhWxkq2+tRj4CCc1lv9oSXuk6Oide1gUHporaxzVlLuHfp+CHG+KvTPaV+eSDt4kx0CzL2fZf7DK2r4hX9tKH9UVakICTPdlVEJZBqjJkZ8y+7gzvUaXRKmNsjskATBaunhx+YMz+CdzbOsfb8vMwiOCTskzBg2NL7Nlghh46p7Tehj3dYiEerzSMQnZVI1ukyGws7QhzF75J2NGpHGiLJz4TOn3MzwJONIIzIrHoAIe6docBL8TLKReTUn7A7RCzIdwp0TlNn3cLC9QxZgaKw5I2siXQ0Z/q6W15ZbOLvBYQoyegKu+WN0tbdIBnUAn1nyD+nq4IgYQhnKdVy2mUtFRrBpuewSPdUg8lyk+dB9vb+8auPk+II93yH/49BHi61eY35a7cQ8yIQbKHFQXg/z/xGZxubDEtfXNxRHu5ldiB/Qae5hxRtZtMFHPkxuh8v8ujzgyoSYKy3P75ffvLYA4F65rmV8//CzPfuh+Li42A6LwQc4oQQ+TzWbIvl7eZm0Z42BffBeNsOt77Wd6PhgKAjFf0AyeLpYthynbJJnYau7OE0HsUYhfaK430WiyB889taLZHk1S2Objux0LSxrRDZogCDwL+O6bo1PzQlUQBVUfJMU+VqCbkGAZz7N6sNy6B1zs9MJcdB97bQUo3rzbZGuf9YkhwWTbsef4T/rRZuRpJcs9TNaKpvt38AVBTWV34M93oWoBIemfxmTFh4Q7Ntosj5xRb76K1JL+owU9psDbMas3ark6u7m7Hb2CWrg7Ryp8MQbZjhiT/+QLEqvHpNoA2g4OBgFYINoO5/OYfJ1qph5XN1E2D6zW8DeSmXOzFihC5CoQVOJQ1GIY3VBisU9+15Vq5sDVs+ThaGHcqGnybJZb0pAYrXFq8lpXssOu/Us5czobwR1efK8TDw45yVKMUPhq6NgZdwWzChg7bpXYLfzAt8ld0bqs6fKc/eLp1hXZ3xyKnk/lAMo1IjFnSGRPXwSTPNWffqYMl0Ir1wZvr1D0vJv+Gsdbskw9l+nlgJNP0CZoiCffGyFdPdR4SFK3jQ8JEGHXjhE5+KqTkz6+oHFGZi0w+19EvWwlRKIOVshPcQqgrKhgf2y9xlqJvfW2XOUr/3veaJ1yltMXSt8Oy1lR7HRTcMYD1Yi0Dp42ztxE1LbPNrjbaF+xxztA6xXWHUzv77HsKlbq3b1Oh2RMN0u5p8xl5LZ+h497YChTquMJY0FJYbbBsswm++io6Gmrxqpymzuyavml3W88czv7767pwaR59d7UQcJLSOgh2lwSMUZ7iVwfFTQ0nQyLLYxFq4PYZHkhzGbOHOTmOFF4XxjnlMxSw9ktn8xkz4OCsPI1cylWb1ZytwNEy0R2Vs/ibwFPWTrvQGZF4HrgsNt99+lj5sgOgfuwwO5W1fu3P7VLwzvqxpFPq4aQ5z1jDtx8GdVjYJwTfhK77DkG4zuOCzjQAefwPkyao5na7l1HsE9M1WKP4Ucmip1j7XMqr/mN0JPeMczOBjazInohk7CQYh2wjn7gXjXy+3PM1J7gv33pDRTH5K859P1bnU2AdkJWz1qf8rpCRAe2N8bwDgNuAQ6SjdrSVbyPKd+RV7nz502Ptf55hUieaYw7Kjqse0O/c/gintPeOjbRvLDKyg3TDouYtazY5KmGmvyoUICWAxVk00YQBUxWBWx55/jw9cAp16Xp7Qdok8OqCbMltadAJ1ZUjStpNls2e/OLL+THE56CxLjPZKr4sTF0un/7D0DVAq+m7+AdDLAVFlL7Zq8rCCXtl2CUV09ACVMeqj7sVTNM21k4Gkc33yWD/HvAjkSZ33Az2T/ykuBCuKAU5WgIv2h/dASdHppCCkuTjP1QMWploatASv+y6olKNhi9GCEvS5YrhEaC5HiJ3p3Aovmvd0nB/pxjiYKHqiRlVlXRlPDvKZjpO4H3M7/ZWEvzGw+5c0lwL3EM1LLOYrQReolJpZx0Z4kgzo9IAL/xriWXlbcKJdGK4m50yBVGqK2Y8AqtF73cNVCMO2ar0UD+vI+7r+WQmSksg3pjPyFCDDamHfs8TJa3fVDR5lJJ20pNZ0VQt5ZGOSlx/a7DvMyh7pyIN/vzCRdXXcm2BDkCY4wdJVaF4iozyMv3mfbj8Fn1xzMkp3kyuaksqVqCN0h6Cn+E2e1Pi7/hW1iuqkoM6383PBEsiGy1esiQYwDVehNAYknOlmnTI2kP5vx6Gu7f6wvlkbWaNKoWHSYRHX754/9okjmPClGKidoq28VDaDDBgIwuZTmFxAhQizCQIWiFZGfnaYexGEVfhXKTPNEMtQyV0vrBGj3GdC0QHMHhqxgoUWrKt0pfLmJ4GCTb6gUPqd7nybaPTZftATxr48UCY6s6CGuBHRxFhBtuqJFGjf/MKeKlX3U5GuVHufT34icZmutdgesGpw3NwXkigN/xXrqaPHlIOCeZi7JnhWtG/TbiUgFrYFTNCXQJijvdI+xf4uIqYl4Q18bWemm9CrFBnI3iwxZixIJOQh4FSk3NpeNuAIv1yfAjzTtZi4ShXObIlaqgYPPvW537GelkGYrEh7xMMAwNSiDUqoisthsCRSSA9T87PKJ+S3CTGHpOobue/Wg/7oKXeqEgsZL14bAKCisu5d6EZ/e/HzhBGrnfxfU0vd0LhLvLahQhp4bUB5mnikDoGkqYuTyzd0mHo7wM1zMm3MNkBejri6VTfyh9vUK44ZcSw9wMm62ApZrRRnyW7mfupS3XOBdt2rD0EWK50IGJUXofl3avwH0QwyqMEKHqWr9tseiHbeOLV7/Ny+E/tLVcHDBFO//EOzFY54fcgzI/6AWyIFNv37WNaI568BkzmL0+S4rpCi77xTI0WieTejJeBdxnabpkOiud0MkVKxd5ZdN2ETnoph1tXe31oGseYc6nCoePbha944Et7SoGb0oc5+gFjb9uaOsvIDipoxBkYN3Smzz6wMvdkc+7v0UQx1rxCWdPMgVjZMBksr9XsHJ+pjO+QsgPs9F8KeSV9qI2jzELHcgGhBkd29ShZsDBDalX8D2EGk/JVPUK5GdWwofUHKWUMqXy3N4EbExS7UjAyKVkZycLWjCPZYxGjgWRXL/UPQzPC6kwVMrHmCwDpFHFBDx1+VoQcntXT0imuEMzHuqlXVi/gPiVSfkCaZnAAzK4k2HyY8ahQiEw3AKwWdDN51qrhIXFWc72LXh0LKPI3wBvcAHvOqdSBbt8ygJERC41382XETt3qaNgoBGLRDoumWYU1FdA/OGONtJ6F4wE6m1u4EwFBNFv2W9TflIhGUirLk4KaHK4rgleZy3C1Dnz7sgOk6mgcMPfdxySpf7NJm9sGFg6t/LjX7yssGQ3xchoB9wz14MN4/j1m9qeKCkT6T3+KdoRvAoSVUD+aRbjt2JwNO2f9AO3E6U7tr8iqNvlAhwD2F1AaxXyzqVQyJtvCfeKCBXQqdtPWc6K52+rub/4dT1c6cQWwNIUZg3n2qYIwDs53rvlgXz6clJ1uuBVogwPg5tWJq/6rwSiVEzrVwCMjsVAmSG9L8Dl2hHtSeKMcOZX81uLLnSm+VqvbBebttVl3PgkxBXLfUfFfuO3bFnmHTRLQ+XYzWcwKdaWo0ZVBSY1CC
- Why this page exists
-
Bellman equations — full derivation
-
Dynamic programming — when you know the model
-
Temporal-difference learning — learning from experience
- SARSA — on-policy TD control
- Q-learning — off-policy TD control
-
Deep Q-Networks (DQN) — scaling to high dimensions
- The Rainbow — combining DQN improvements
- When to use value methods vs policy methods
- Connections