What Skills Are Used By Mathematicians Working In Industry? A Guide For Teachers
The IMA regularly hosts informal online discussions called ‘Virtual Maths Teas’. The latest event was run by the Early Career Mathematicians Committee and was focused around ‘Skills in Industry for Early Career Mathematicians’.
The event was aimed at undergraduate maths students and recent maths graduates who want to work in industry. The discussion did however include a lot of material which is useful for maths teachers. It was a great source of up to date information on how maths is used in the real world – after all, what can be better than hearing from people who are currently working as mathematicians in industry?
Several different skill areas really stood out from the discussion. This is not a comprehensive list of the skills needed in industry, but rather it covers a few things which will be of interest to maths teachers and pupils who are studying maths GCSE or A Level:
1. Statistics
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)
https://unsplash.com/photos/vVHXeu0YNbk
The mathematicians were drawn from a number of different industries, including engineering, nuclear, data science, retail and defence – and they all agreed that statistics is really important to their work. Many of the mathematicians also said that they had tried to avoid statistics at school or university and often couldn’t see the point to it, but now they are working, they use these skills all the time.
As well as more advanced statistics, they also said that GCSE statistics knowledge was really important and mentioned using averages, box plots and histograms.
2. Estimation
![a bunch of question marks on a purple 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UBsiZ0loRLh2qltFwCJVUJVNnS1anEGgwvWvp10DWqg4FJPUzEYjVvhoVZC2ws22Bn2Qo7i1bYW7TAngvRzrSZY2yEoxH3jWE9HPVq4cDwZMHHM1IpgBHbrA7h0+WiMafyCe/mpsE0yhbqp1uEAINClgSBBC5Y2kJH6gloUlUTrVMczBWwlUlB2+RUQQ9ehV1etdJDHH8D2r9PnaL+CtpN6W3DMq8mfbegF1c/HcTPHz3C+eNDCGbq0KGx1GaKtHRshp1bB6ydO2Dv1gUnry44enDnODfC1qEeNjY1sLaqgq0tFceBht6ZHsuR5t+Bvs2RadOxEoGU5CivVmwO6sWeqEGc3DmM4zt6sHt9E7aGNWOdaz1iHKsRZEKlUGKrWCaUopwrtpJ+qJq+hzuasFmr10OD7Wk5/dEqHYLPSTK1aoGeaQ3WGFVilUEZNLii1xiVQJvtQ9ekHIZm5TDiTjVly7c0I8QWlbC3pLezroAL24YLfYqzeTHcLUrhb1OJzb5N2BZYj3Cubi8maTNCZ7A4H8aEzXARVWVxEYzk2Oo4ycZUPVMqkjnLmGq3mrAp0byvYho0tGmGsV0L1vIx1phzbMZlWEUfpWFUDm1Oui6f14DPaWRBcFmWTIDWHJcdFcbBpgyOnHxnqxK4WhbBneXL6xu8mfhDGhDmWgYv3t+CaVRPPo9jyOf+oWfTLKVnKyZsopWWIICJNMiwBMHcH0+BI2ysMO7rCIImjqX9HWgieYqjDH8BTby3OfSn+t+BdvvSECHj5YvduEY1u/bZ7/js7CP4+ZRC06wERi6dsHBpgYktVc20HkralVDX48o0boCmYQ1Utdia6BFWqGRjqUIqli1LgbJyKlYqc7v8PlRXJEF1eTKVJwlr1FJholPA9lsJPwK1IaAW28OrcXhDPT482s4AMoSfzvXgZGwVopl+zIVfWkqFYxu0Uqmg/6qk56uGBr2PCgOErmUTJ6oRa8Q4DCuhbFqO1Q510HZpgJ57I0x9WmAVSGUIbYNzRBtcw9vgFtEOD259otoRuK4dQdFtCIloRUBIM3z9m+DL/xPI2hTZiR3RjYgJKMbudVXYG9lIf9pA1aCaETi9eVSSBeUErhD6cvm8jfARODWadVXtCphR5U2cmqBuUg0Voxos0y+Huk0D1jg1QsutHoY+TbAIaoFdeDucItvhwvG5R7bBk+Pz4nW/6FYExbQjmOMMCG2Bf0Az/Ah/oG8zNkd0Ye/6TmwOLsa2sDyOTbydV8ugQC+3LJuqXyw91uajXQpfnRICx6Ag9W4CNplvE7CFcisFjfMcJQ5xPAFtIwViq2sldtKT7/erxZGQvzlg+1e4/h1kIgjcZN2+REUjbELNrvN+P376G2Ijq6FjyRXq0Qk9tjk1w1osokzPU6zAYsVaKCoRuJVNUF7ZDGWVFqgqN0BNpQ6rqDDqynlQU8rG6pU5WK2UCa2VudDjCzek8TdaUw9z7SbY6bfB0bAVDnpshYbV8KKibPQvxlfnWlGZ+jsyrw3h5DbuJNNc6C8pgDFhM+VzG9OHaTCRqetUQM+uFaupECuoDsrmfG6O0yhgADbRD+C44QHcNj6C5+YH8N42jIDdwwjZ9wARBx8i6tBjRB96hHWHHmLd/mHE7B5CzPYhRG8aQuS6YYSHDyEwuA/e3l3woYL7utRiQ3AtTuxowBenhvB6ZDdTXwH0F9DbzS6E1lyq0iJ6KNYqBV7XL4Ijk7kxF8oKTupycy4Cu0bosANYhA3BIfYhnDcMw33zILy2DcJv1zCC9/J59z9A1AGO6SDHxm3s/keI3cPrO3g7xxYRM4iwiH6EhPRyIXTC34MAunNsoVU4sasZnxwexMHgTlgq58JcMYuetoiwMSBoUwV1CgmbhMrGYCBAo7L9K2ilT0Ark4K2xaWCybMa+wja4eC/tE6ZPxP1r29H/RU0AdkNbuMIWvylPrZPhoHLwzhxpJNynw8rn24YsF0q6tdiKv3ITLlyLFRowPwlLZi3oAHz5rdgxuwGzJxRDgUaVkO2pwiuwP2HunDoaCeOHu3CwQOtOHSgg0WPFtQME70yqMiXQmlRDVbJtdMkt8FQtQ2B9h3YH1uL3VE5+O7DRtRL/olb37Vi/3rCTmC1F9II08hrLCuF2poKGNgTbpNKLGNbX+1SDwP/PgL2EA4xnMh1/XCMGYATyy22j5M5gIB9wwg98gDRrw9j/YkH2Hj8ATYdG8bmw0PYtG8QsTsHEb2xD+GRvQgK7kJAAIuPGeDbjwDPHvjYNyPCoxJv7W7F16cIgHM9dBbmYdX0fKhNp2GfnQulhflQZ/r28KPncimCilkuVG1rYejfDZuoATjG9nNsfXDmuFy4dVvfC68tPQjcM4CwQwOIOjqI9Rzfpjc4vqMc12Fe5kLYsGsI6zZxbFFdhKwLgQEdCPAjZD5d8PNohb9LM0Jda3FqVyc+eeMhIuzruDhTGary4bKasGnkw0s7H95rJVLYAg2KGRCoaFLInm2dpQwDBM2+jGFAdixthwdbp28dDgX+oWi9BE3A9X8CGusS73eR92PSFP/vu0+H4RtcAVMO3NilEYqG5ZioUIDpipVYqNqBqUua8dqcRoya1YyXptThtXnZ0LErxKG3+nHpyjCu3X+Ae1kPkJL9AGlZwyxeznyIuykP8OuNXlxk8Ni2rRvqXG3TplZh5vRmzJlRj5VLynFkUyN+vtSMo9vS8MvlZlQV/gPvnKpAiEs51swrgMbiUigq5sHQsoU+pxpybAla9IjmET1wXP+YEzlI0HrhEN3HCWUw2Uxo9lOtTj7E5nd+w/YPf8eej37H/o8e4yA96JEPHuHou9yefYgDJx9j75GH2ComNZaBJYiK4d0BfypHsE8vQj0HGF7aEOZchzdiG7E3vAG2GqVQnVYIpcnZUJ6WBYVluTChL3X0rIKKSS5Wu9bBPLQbLlQv51iCRrgco/vhFNUL1/UCsH6sI1RbzjzGjnd/w54PHuPAh49x6MPfcOi9xzj87gMcOfcQh97k+Hi/nXuHsHEDF2wwQfNlq/dp49g6ObZOjq0BQfblOLypCXtpAyxUcmAglyk99OGmkUPPVgAvLSobYfPXK2Q4EElUQCYLA9IDtvRoMtBE6nwK2l6fOhwM+EPRehD3RT9hGwFLgDMCm+zy34F2m97stmihTJ23Lz/CubcG2JKKYOPXybZUi1krSzGFaia3tgvjl7XglUX1rAa8MK8e45i+gra14oeEfyKl8HcUVAyivHYA1Q0DqK0fRH19PxqbH6C+6RGq6odQXNmHnNxhJMQ/xEcfD8HShko5vRrTZ7VixrQqqC/OwmfvtOLbz+gLtuUgPfkB4m73Y2M4Y/6CXCxnq1LRKqFxppqqUD0cGmEe0gPnTVQvToB9NFvaum5OaC/bEhPusQfY9u7v2HfhEQ5+9hBHv3iEE5cf4/QXv+HNLx/i7csPce7iI7z96WOc5eSePvcbXj/xCPvYYjfG9CHYtw3+XvRxHh1MzD0Id+fzGNUiggp6bFMLoj0asJrtcsWUbMhNToW8Wg4cGB60zPOxwpLGXgBFlXSO7eSYuuDA6w5R/XChkgXtH8Qm+uC95wnWxd9w9LPHOP75I5z64jHe4hjP8PLZiw9x9tNHOPPhI7z57kOcPM1FcfghtvExw/zbEODVjCAGqxAvekzXLniaNSLSrRo7QqvhTaXXW5jFEJUHF40suK0pYBuVSJXNV7cAfnr50sMeoVLQnrROi2LCVoINDgK0cqlHkx609a2RvrEuBe32Fx0EpUv6Acdbn3VzKy6LbQ8h63sCmvh40DPAEbI4qtktwniTdePSA+za0wojtzoYe7ZhsXY1pilUQEGnDfO0e/DcwnqMXkHAVOrxGtOg77Zm3Lj/EAVFD1Bc1YOaul40NfWiubkPrS19aGvtQnt7L9o7HqClfRCNrQOorOxBQX4XUu8P4JMPBqC/pgYzJldj7sx6zBhbAiemr+++7cKxwyW4cL4JGRm/YeemIuhzEhfMo98zr2cAqcNMtXxoeTbBef0gXDf1EDSm4Nh26aS6bepGGNvOrg9+x9GLv+M4J+/Nbzhx3z7Ce988wIffPsTH3z7Ap18P4cJXQ/j0iwf4hBP70Se/4dy5BzjFtnpoD1tsWJd0Iv2pmiH0Q2GeHfBxZKgwrsQ+BoNjWwdhqlkNhSlpmDflPtSYdE3daC/WpEMvoAmOWzj5m7rgvp7/h6HDJYaXN3QjeF8vtp59gIME/CThP/3lA5z55iHe5dg++HoYH38zjPPcfvr1Y47td3xy6TeOjWMnbGdPP8QbB4axNboLod7NhKwZwR5snW6d9LmtcDEox5aAasR6NcFgSQ5TcBac1DPhppkHz7UsnRwEGBYSskJ6tEKEmUkIWRGimWZjbEVJCFkptriWYpt7OXZ5V2CvfwUOh9XIQLt1uZV+q5Uq1Ulg2qR187N2KlUnqxvXL4jjYwJCAduIqgnoGALYMm+y7V6/SM+yrZ7erBmGbk2YwXQ1ib5stcMgJqu34IUFBEypAdO16qHhLMHFW73ILumBpLQdpbWtqG3oRHNTBxob2qWQtbW3obmlBa1tPWhp60ZHay8aGztQWduGwoIuJN7qx5aoRixbUIaFbJ9zJzZg0dxivHG2Be+9X4PDe0qQmsJVv5VRnVI+f0Em1lo2QnltJRQtq6Dj08i2RB+2sYsqQcA2ME1u6kTg7h5sPzeEoww4bxKic4Tsg+8e4ePvBFxs8V/34YtvB/H1N/347rt+fM3rX34xiMufDeMTpt73z/D/HX2A3Rv7EU5VCyJkwYQtzJWXXXtguqYYm7mP3j70P7A3q8eCiUlYMD8DOlYcEydsimoKrOmnvLd3wnNDG7w3dsI1hml3A6Hd1YbNb/bh0PkhnODY3vl2iPD346PvBvDpNwN/jO0rUd9xXBzvl18N4/LnD3Hx40c4//YjvHv8EY7t6MX6wGaEe7QgzL0ZYW7N8LdthqdxDdZR1TZ4N8FIga1cPhuOqtlUtCx46WbCWz8bAUZ5CDUrRLgFi+obaVXIdkklcyrGBscibHErYdosJWRl2O1biv2BZTgSXi0D7ebnhOsJWDcudhA0XiZ0oq5f7MS1C9xeEKD1PgWNAUD61pM4YMsgcZU7etP2Rlh7N8DcuxULGI8nLi2FhssAxlPFnqeivbaiGXJsHztPtyOpcAhFFQOoqOlELQFqbOxGU2MbGptaqWI96O4eQEdHH7p6+tHa2YnOzm60s5rbOtFQ143ctG58/H4PDPSrsXBmFRZPaqaqFWLL3lq8834tV2022yx91P4aBLpVYIlcFvSsmyDPiV5uVQELGmMXtkyX9V2cSBYVzZOXIw/KJvIUVfydrwbx0bdCJYZwkSrx2eU+TlofvvtiGL9S1a7/8AC/cFJ/+JLQUdW/Os/7vPMQHzAwHNs+wMnsoFqI1tSKcOd2hDj2wXZtA0Js6uklmRqdWzB/UhqWLMtncKrGGvNCzNHKhW1kD/yoaG4xrXCN7qAva+cYWxC6pwP73h3A8QuDOPMlof6WkH3Tg0++6sNnHMNlju+bL4dx5buH+OXHAfzEv3/3FevyEL7+9CEu07t9cpqtdV8fdoU2Idq9BVFuLYhwbUSwbRN8TeoQzjAQQS9pwWRsqZgPx5Vsn+oZVLQM+OjnwGNtFvz1c+nT8hBolIswAhdD0NbbyxRtExVtu0c5dniWSWE7EEBFC3kC2q3LbJOX2SaFSgmApO1StpW1TwGYAEvUiKI9uR8vx30+jJ/o0yLX1xK0RipaCxZpVmCmEo24Yz/GKFM65RowRqWZcb2UE9iDsprfUV09gIbGXrZKUX1sm71ooXK1tT5CUUEvaquHMTj4TwwMPkBv7xB6egfR1T2Ejjb6uZJuXL3ClGhehQVTK7FkUj1mjcpFTFQt/QhTXlA2frnCSTnSBE8LCZYppErT5pJVxVA2r4B9RB8h64MT/Y9zNL0a24n3hj6mtkc4Tt/z7le/4UO2pPOE7MLXD/DZV49x+dJjfE5luPz+A3z3MUH7+h+4+e0/8OuXv+HKZ4+kh3a+5WRePDnMhDmIbcGdnERC5tSKSCcqiCNboH49PPTZWiJaEODeQSW+jyXLM2HkUUVfWwBF4zLYhHfCmyrrGt0Jp0j6xnAuBPrH6AODOPw+fRc94wdfP2QbZ9v+6gEu0jNepjf7/MJDXPpgiMA/xK8c27Vv/4mfObaf+Lcf6Nm+5bgvv8UWe2gYByJbsd69EdHOrawmhNs1w8+oEQFmNQiy5jyqFbJ10jeqEDS1LLjSq7lrMRiwvLXz6NXy4aefL31rKty8CFFU42hrAmf3JHVyce/0qsI+/2ocCqp9EgaeHEN7NmWOlCwgyP72FDJZiUMacZfEp3OH8MOFYQREVMGO8VzDqg4zVIqxQK0OmgTttRXVeJ6Jc6JaM9TtKnHxxx4q2O80+4NoIVwd9GUdbfRlBKi99QES4trg5XkHe3ZmoaKsDw8f/Q96+x+jr+8BenoGqXRDhLAXd2/2w5EvdNHkMshNqcfsUQUI9qvCsWNNiPAtoNL04vjBJljTWyxfkQkTpw4sVmU4sGogYIP0ZCLF0XDTZLvSbPux3e068RvevvQ/VLD/hcvfPsYXXz3EV/RCX3Gyvvzkd3z05gO8sbOLqtCD72i0b3Air13+B67SC/1M8/3De5xMJtV3dw9jN1UzyoXQO3E8rHDHVngaiA9blmAjfViQWzvmjE/EIi4CM+9qqBM0VU6yXXg3vJhehZo5R3bCmdc9GTA2HOYi+Ogf+IDe69Ovf8PFb3/D51/+zvH9hssXH+ODMwwtu7twYl8XF8Nj/Mxx/XL5N/x6+Xf8wr//9AFhe2sYFw7RGkR2YL1bI9YRshgnAkfQfMWnj3WqEGbdCMfVJTBbnAkH5Sw406e5rs6F+5pceGrlETQGAp0CBOpxfxsSNNNihoEnB2xF6hSfSZO+M1Dzl+No/wG0kforZCOgxQvQCOP3nz6Ad3AZ7P1bsNK4ApOWFWKxRjO0nPoxlqC9vKQF01a3Qs26Gu9/1oXWRqC3k2rV8RsG2x6jv+sh+nsfo6WJSW9vEYzNyuHnl4fkxAY8ePBPdPcNo7evHz3dw2ytQ2io7Udy/ADsDfOxaFIxk1s95oySwJse4dD+WkR5FbBdiJ3eCCP1ZCiLA5HOXVjMlqBj2waX6EHp8SjnyD64RfazCBonc9eR3/DeeeCLy8C3X/wPvv/8H/j+0j/x3cV/cPL+iZN7BrApuAkHYjpw+QxVjUp2nQp4/cJjXP3kAX56dxhfE7QPCdqBkE7EujZRzQiaYyMi7JlEDRrgr82V78UW6tKGuWMJmnwqzLn61c3yoG5bB9uwHnjGUnGjCFoYlY3XvaL7sJGJ9vS7/8Snn3MRfPm/8OWX/4NvPv8nk/bv+PyDxzhxoB+bwlqwI7oFH55k67xAyKjC1zi+awwPv1INr7z5EF8w7JyI6sYmemlxTC/WsQHr7Fqk353wWVNG6FrhplUJkwXpsFuRwUCQDtdVVDMNgsZg8K+giQO2Tz8mJEDbQa+3W7wF9a+gjRzO+O8gEyVarfRgLT2AFLSgMjgFtGOlIUGTL6QfaoW28yDGL6/G6CWNmLW6GavsmxG4vhrnP2rGj9+2Iv5qF1Lu9iErcxjpKQM01fVwdCyAiUUdNm6UoLigB339v6GTStbT20PQhphGmULrBpCe8BAuJhLIETQFts75o4rgZifB/p3ViPYowJcfduDNvU0wXpkENbYASyraEiWCZtUOt+ghuMf0wDWiB25hffBg+RK66M39OEIzf+70b/j4zO+4eOYfuHSWCnLmN5w99Ag7o3qw3r8dRzcO4Mu3HuM6VewmE+ftj3/DjQ/pjZg8f3iDaXTHII4EdWCjSxPWObUg2p5bAh6k34QA+sRYt3qEUuEWjruHJQopsCBoavQ8KmbVcAjthQ9BcxWQhfbAI7QfPhxf5Ppe7N0/iLdOPcT7Z5kmWZ++Td9FJXv7yBB2x3YhJrANe2Pp2+gTf/pIjO836fhufvQQN849xLWTD/DtQQaWyC5sozfb5Mj97FDPltcCfx2Ctkq0vzZ6sioYz08haOlUtIz/HjTxvQHxMSEq2m7pW1B1z4L27HGz/w4yUU9BG2brJGiB5XAJ7ISqXiWmyXPytVqg48LUuaIG4xbXYd7qRoLXDnPPJpjTPFo65MHNswiBIZWIiGpCSGAd7KwksLWpRmBwMW7e6EJ3+z/QRgXr6BpGT9cAuhgQ2lp70FDdg6Qbw/CzrcTyaSVYNrEWC18uhDNVYe+mCsS4F+Lzc60ErRlmqqlYrVYAC8c2LFlRAA3jFrhHPoAHQ4BbeA/cObEeIZxcTmhgWDeiqCSb+LedbF/7WAc2dGPPhk5soXfaQHj2ruulz/kd379DJfv4IW7Rt8VTUW6/w1b61kNc4aRfJLDH/FrpVxoRS8hi7Ro5ES0I1mtEyJpSrKfhDnVow6IJ97BYIQmW3lVQ1s2CwtpiOIUSenE8j63XM4RqFtIHH1ZAaDci2PI2rGvHVkK1fUMX9mzk2GI7sY1Qrvdvw7bIdpw9SFV9+zf88uFj3DzPcX30CHH0Z3Fnh3Dz+BC+20NYQ9qw06UOWx3qsNm+HhuZOgO1K+GvWoyNVDRvnUoYz02C/fI0aRhwE63zr6DpFyLEqPhfQJN+Hu1vQfvjTfV/r2qi/hU08RYU/w9B+5Gpxte/DB6BXdDQrcHspSVYrtUMPadBTFlWjQlLarFgdQP02b7s/fpg590JG59OWNMQ27i0w9axi0pG40vDHr2uDNevi/b6mNVD7yYS6AN0tj1AR8sQmpu6Uc/E+sV7TfAyq8DquRVYMZ6B4OU8OBnmEo4KbHCT4NLpFpze2QBTlRRoqDNF0ZAvVszDaoMWeAjQorvhEd7LyezlZPbAJ3iAgPcjJLgLocE9iAikwgV0IyaoEzEBHYihku2hKX+fE/nNW/Q99GM3PxhGPFtSAtUigZDdPv4AP+8bxqcE5YhHM7Y5UDXsGjh5VA3rZoTpso0yKG1wqkWYCCcT70FO8T6sfaqhpJ2Fxer5cA3uhT9DgBfDhC/H4hvEFMoKCOpFYFA3griYg7mfQ1mRAZ2I8uX4uC93R3Tj7H52hTOP2MIf4wbHFce68y7Hdm4Id05zHo8M49ut/Tjl24xdTnXY7lCDrXa12MJEHqxRgSBlCbZyQfjTq42A5qz6tHV6/Y1HE+8QiM+k/aui1f4NaNJ3Bv57yMShjduiLvEyw8BPnzyEv385fPx7oLW2FvPkSqFE0PQdBzFNoRqTF9cQtHoYOfbAxacbzn5tcPLrhos325d3N9w92cLYZjasr8OduEE01f3O6kNTQycVjCGBQaGjmf6scQiNtQOQpD7GntBCuOqXw3BpDVQmVGDpKzlwZhLat64c653ycOmNJry1jVFdKRXaqwph49TANpUDTb1meIcPw5tt01u8Ac5J9Anuhh8hCyBcwYE9CA0QR9AHOJG9WOffhfV+XdjPwPDxoYf48S16HoJ1651hJLzzEPfOPcY9QnbvxEPE8e8/bR/CewTkgHMzdlDNthKyrXZ12GRJv6ZN472mggpSQ9PdBPnxdyFP0Gx8a7i/crBINR8ehDwwgskzuA1+BMmfYAUSqqBAQubfzcDTgxD/XoRxwUZxX8Zw0e6mj3tn3xC+PM2WyXZ6naDFvfcIdzm2xLMPcI+Q3XvjAW7tYUrlY7/u2oA9bJk7CNoOO4JhRaVVK0PI8gLsIGiBBM1k9j04LE+VgaY+Alo+fNYWPlG0fw/aDvdq7PEmaOJjQiOf3pB+r/NyH4H6P/Fp4jYZaCJ1XqERDvQthz93go5WDeYvKYaKdhMMCNoMKtoUAZp6HYwc2K4o8a6+HXD37oe3B9XEuwNe7u0I8a3A9Z970VTzG5qq+9BYz3Ta3I1mcQikqRdtDX1oru1BTfEjfHK8Bb6GeQi2aYT58kqoTyrDitG5cNLJxd6IMrarPFw82oizWxtgrZwGXSqaLdvE0qU5WKvDhBU6BD9Oji+B8iNM/pzIAAIWxMshXADhvj2I5CRGUy3WUy32UmU+2s22+ObvuPn274jn5N0VE0iflnT6MZIJWeLhIdzYOYjP6X+O02jvdaBq0JPutK3HdptabLZoRJQWjfeqCmwSXym0aIDCuAQsVbgHW59aqGjmQE4tH55BhCqckAW1IoCgiTfBg7nPQrkN536L5JiiOKZoby4AT7ZA+uJ3dlJlTz/CL2fZvukp498mZBzf/TcfIfnUI9x/fQiJBx7gyvp+nPVswCFCtse+ATvtaji2Suy0omdcWYxQhQLssiZoaytgMisBDoopcFqZRtCy/0vQKrHVpfoJaHU44F//FLT4L6lmT1Tt72D7V8hkJd7vvCVa56Uh/EjQgglaoG83DDQJ1ZIiqGhRwewHMGtZFaYuruZObICZPX0HYXT364Qnd5SvJ72RVyfc7etw5kgjyvMfoamK7ZEerLmuC00CNm6b67vRWNmLqoJhfHWuEUFmOdJvoEc7NsN6RSm0p0qwZmIeXHQyqXTlbFcSXDzUgrNbmmG/IhUGK/Ngzx2rIJcD/bU05GyTAVQdfypVIFUiiNsQVpgo315E+PQgxquD6bALW326cCZmED8d/QdusWUmcCKT3nqElDeHkUxznfzGQ6QcZPvcNYzvo3txzqsZhzmR+1l76X922zZw8qhq5nVYp1mLdSsrsdGyCpHmjVg+9g4UlyXBjqCt1MqGomoBfAl6KD1XYADDg3h3gRXmQ8hYkVyU6zguMbZYzw5sZZ1giPnyMNMlob999jESmIaT3uS4qG4pJ4aRdpRqu/cBrm7ow8dsmW8wABy2r8UBquxeW6ZDK7Y5hq9I1SJEM8TtsWhBkHY5zGfdhb1iGkETipZJ0HKegJYvBS3gmdY54tE2ErSnivYX0GSQ9f1HVfs7yG4wDNy8yP/7mQy0EJ9SBFPGjVdXY/FiCVTX1MPMbgDzFCoxfVE1lq2sh6VdO7y5Gj2587w92+HnzrblwfbAwf36eS9ayh+ivozKRdCaajrQUNmFhope1BX3oyRjiEpWD3+TVOmnaMOtxAlfGpiMimAwqwiGLPe1GdgdWIqNVgW4uK8ZZ2Mb4MiJNFLKhjMN+YolOTDVEcFjgCrByfTpQCCBD6F6hROqSFaUVx8nswcbqbKb6SH3c/F8vp1e5/g/cf/070h+8zeknXqAdBrrVBr/+/RkCWyXV6K68YFHI94gXIfoyw5QyQ7Y1mG/dQP2WtZjp1ktNmjUIGYFFY3ecp1pI1TG3IGyIr0Q24y6ZjZUVAo5Jpp+ho5gnxaEeLYizKsNEV7tiH4C2HrWBg8mWo5vN8H7YPMwfj7+G+IIWuKZx1SxYQL2AKmvP0TqoWEk7RrCtegefOrdhJOO1TjmUIujVPfDVLODNlXYT+j3WXABELQYOQn2mDUjRKsMFjMTYL9M5tHcVv0ZNH9dWRj4W9CoaDvdawhazd+B9p/b519BE3WDbfMGU6cA7cr5B4jwLkMoV5ipeiXkFhRAfXUdLG0HsVChCjMXVmOFSh1sGPF9vAkZd54fJzHItRu+Tm3YHl6PlJ8H0VI0gPribjRRverKulAlaUdFVidy4wfx3r5q+Olnw9+wHBFW1YiyakCsbSN9hAQmc4pgNlcCT+007PUrQaxpPi7sbsaZyDo4LE6E8fJMuNk3Qm1xNqx1mxFJ0ML9OhDKCQz16EKEJ9OmB/2OKPderHfvxhZXjsulDSfpO3/dRbje+A3ZJx8hm5OY/sYQ0g8NInX3EO5u5kIL68IHbvU4Qe91hAp2iC39kHUdtzXc1uKgeS32mrJ9chGuX1qKLcZs7yZ1UH0tHiuX3YcjQVutmcV0XIQQwh7NdhhOZYxwb0aUewvH1Yb1Hu2Eqw2bxAJwY8J0bcURttLPtw3hNlv3fSpYKtt4GseXdoSX9w8haccQrjMkXHRvwFs0/a9zfMfsZXXUtgqHrStw0KICh8xqEKtShHVL8rDbsJ7JuBhWM+/AXoGKpprxRNFkYUCmaIUIMhCp8+9AqyJoMo92ILAeR0OfPcnL/8an/R1o0vNsfNYnDQW/fDxMFShDJHeEhVoFFObmY416PaxtBrB4aRXmLKyEknI9bK3b4E9f4cudFeTaiTBnJijhZUKLkHmlGx2SYTRKqGRFXagt7EJ5VgtybzfjvV2l8F2bCXHWnwjLSkJWhXWWNNg2zVSsApjNzoflnAJ4r0nFXu9SrNPLwafbG/FWWA3sFtyBqWIGPGnKVy3KgL1+Cw0+E6VPm3S8UW5sR26diGWtd+nEBo5ps0sHtju3YQ/rHEG7s/M35B99jEKqRP6xYWTRj6XtocHe2I9fQrrwkXMDTlpX43V6sSM2BIyQHbXihHKcxzjeoxaV2G9SjS3qVVgvV4ytRgTNiCHm1etQVrgLR68qaGplYe2qEoRRrWJ8Wwl+I6FvRoxrE9a7NmOjSwvH1UIP1IJtrD0MG6d9u/DDdrZKwpVxchjZbOPZTJZZDAbJ2wdwLaoLF9xpS+jDThL446w3CJio163LObZSHDWvwBGTKmwkaDELc7FHn4lYowjWM+PhqJAqbZ3iEIdM0XL/ULQg6eGNIumJYcRHucU31WUf467CLs9q7JN+gbj+Lyd5+b8ATZzM5foT0K5+NIRNBG2dawusVcuxfFYetFTrYGc9CDm5csyfV4mVSlQXizYEu9MXuVFJOJlRTh0Io1fYHSBB7pUe9Jc8Qmt+DxpyulDPKk9uQ8q3XYixzICfZjHWUeJjLCuwnoq23rKaUbwezkvzYDkzDzaEzW91Ona78IWvycQnmxtxMqgStvPiYLYsHb70gZoL2Qb0Wmjwe+hxCBwnLIYwrWdtZG1ybMMWByqZYyt2ObbQZ7XifU5m4tZHkBz6HcVHf4eEfixn7zDStw0jPqoPn9P4v8UJPCEmkSb/qCgC9oZVJY5zrMdplN8wL8dB4yps5SKMWVSILQQtxqgaSqN+hfLSeDh5VkB3bTYMV3OxUkk3eDUhVpwXTiRx50Zscm7CFqcmbHNiuHBqwS7nVux3bMI5tv2rHFsW1bbg+GMUHOWC2P8QuTvZ0jf24Wv/Jpylypykcp3kuE5xXCetyqV1gpCdsCzBCY7tmAmVSEWCmHk52KtXg4jVEtgSNKdlKXARirY6Ax5rsqWg+dKf+evmPzmONgJaKUGTfYxb+sWUP0CrewqazJ/9PWh/hUuomKxkrfM6fZq43/WPhrHdp5ITRoVRrYQqQdNZUQ1nqwEoLq7A4rlVUFesgYsZPYcrPZFLKyI5sTEOHQinj9nJHZ3G5+5Mf4zWtAdoTBtCXUo/yuIH8O0bLYg0zke4AQEzr8YGSv1mqsRmC04cd56LfC6sZtDsz+KLX53JJFWECK7ATzY04nXfUtjOuQVz+RQEEzS9hWnwoUfb7N6JTVSKDZysjQ5UCgdOIoPFdpESWXvsmrDPrhkH7VrxLtvUnXUDKNzzGwr3/Y7CXY9QsI0KEjuM64Hd+JCPe5LqdcKqVqpqxwnYGwTsJFXsFNXipFk5jpuW4ohxBXasLMe6eXnYol+CaL6eFS9fgZpCPNw9K2HMMGCmXkZVFW2xAZsd67HFsRFbpYA1YQfHuovj3MMOsI91iJ7zbUL5SwwV7ADHdvg3SPY/Rj5DSRYXQRxb5iWXWpyxFqBV4TTH9aZFOd6k+og6bVGCU6LMS3GcoG1VKsS6WRnYu5ZBRa0A9gTNWYGgqXFxcr+OgCZTtPwniiYhaMV/gCbOvbHtmbef/i9BG4FMVlKPxttu8X7XqGh7/KsQS3PuurICGlQYHYUyeFj1Q2lRGeRnlUNToRruJoSG7SmcKzOaFWNPk8tJjTLj5BCK7w7W4O4HrUj6tBO33m3DZ/sJlE0OwvS42kwIGnfIZt53K3eOqG2WNXCm77KcmgWHWTkIWZ2NHZaFiFiZivMxjTjmUQLbGTdgLnefylkLw3mp8F1Th22EfDtVYjPHu5XPv521kxO3m55vn20TDtjQzNNnHbFpwRl6rm/ZxhLow5Ji+pEuKoLt1L8DX7FlviOUguM4QfBPErATnMTjFqWcQE6qKUEz5XWjEhw1KMUO5RLEzMnFFl0JovVKsfzln6CheAeeHmUwo0ezUeNrcu7ATj7udgK8naFiB73lTpYY2x6OaT/roDXHRo96muO86NmMGxEduL++B6nr+5CyrgtxYe34gS3zE8J1ToyDi/MtKusZqs9b5iyLYlYRL0twmrcdNy7H1uV5iJ6eht2aZYhQy4Pj7DtwUkiCs1oa3DQy4akp++SGAE0kzj+DRl/8BDTpl4efvCtw6O9BY0k/IiRTKRlo4qNB4mNCI18QFmd67JWGAOlHinj9Juvq+T68EUb/wRXtt7oC+rNzYaBQBH+HPqgvLYPyjBLoLa2Atwl9h2O79E3c9eKtGU5qjHULok0r2RIK8d7GfHx+MBuXjxTiw935OBySjgjDDETolWADIdtoUo4tnLidlhLssirCbrYEd7lM2E8jaNNTEaldgJ3mhYhWuYfz0QTNRQL7OTdgpZAoPSWpxcJkBGhWS5VhJ5PXDjsmJLbunfRVe6zrsd+KJp51hClR1OtW9XiTSnWB6vKrbzvig7uRGNaDhKB2/MLWe5G+7xwhe4uv+7RVKU5bFlMtOJGsNy05kazTnMwTJhIcY0LbrpKPDXOzsc2gAOv1iqH66k/QU70HP98yWOllwm5lIfY4tbI4JnHoQTquBuxhwt7P8RykdThMb3qE29ctRCusxYcO9fjepxVxId24G96F+FCqnG8jvuCkf8hxnOMY3ua4znIBnjMr4PVCnDXPZxXwdl62KMRJtsBdy3OxflYKdq2VIFKY/4V34aScBJdVKVQzetwnoElbp/jugIFE+iWVcHPxMe6niiZOWyUSpzhYeyjoGY8mS51PYPsX0AjZk491yz6BK/swpDid6E1RFzpwnXXtky6cWy/eyihFjF457BYXwFyxmOrVD91lFdBeUAZLlSqEWohWRc/B1bmZkG2ix1pnUoaDXiW4/+kAym8/QEl8LwriBpF5awApPw3hs4NtiDbKQZRuMTbzvltNirGboO2xlmAvX5w/E6XjzBQ4zkhCrH4Z9nDnrlsZj/PrmAAdKffyt+Gocpf+oRwuy5MQoJ6HXTbVOOAkqoYtklGcarTfnDvGvIHmmIAxJb7BepMTep5QXvXrRXLEEDKiB5EWNYDk8B7EB3bhO4aJjwjDWSrZGesSlgRvWxfhHZtinLPhJFrlE7Y8Kl0+21MhdqlkI3ZuKnaaSrDesBAaE67A3iADwYHlcDbLhb1KLg7Qkx1yrsFuqwrss6gmYJw0WoZD5nw9ZtU4xnqddZL1HtX2e78uJIQPIJVjS4/m2CJ7kRBK7+bXgs8cyvCedSHesSVk1jm8nIf3rQu4zce7VgV414awWeXiFK3JXuVcbF6Yil3sHhHqqfBhGvbQSoPn2jT46j9NnLLvDRQ8+ZIKU6eZ+DzaiKJVPAGN+5agHSZofz616B8lFEzUSLsU568VkIlz1ArAxCdwCRe31z9tw40LbVLQrn/aJU15e+1KuFrL4LqQSXBRASe3H2ZyRdCbyxTDVhpmUCt9S2Y71WWHbT220dRvtZDgpyPtaEz4DRVx/Si+2Yv8m+3IutGCpJ/acYfjOebPVaOTRcgk2GEmYfsowiH7UuzjSvJXTIf5uDhYTEhAGE3sNgO+cOU4vBtcjh3G3GHyCbBbFo8YKqCHEj3H/ARs4oo84lCFQ7aVOEi/d8CsAodNOYmmNXjdpIaeim2QSew9TuYV13ZkhA6jIHIIBZzIvKh+ZIV3IyWoG3E+XfiKC+d9tvFzfPx3bSRUijxezpdO4FnLHJyxyGFrzWYLLcROhpLo2fewzbgA4VqZWDXue7iaZsPfuxDu5jkwW3wX202LOTamVBEgqOCH2H4Pc3uM1uENqvoJjuskt2dpIb50bWVL70cGx5S7ro81gJzIPmRQde8FdeCKWw0+IVjvWufibYt0vMtxfGCZiw+sCJ1VHmHjGC2ycNIgB/uUsrBhfhJ26RcgVOU+PJcmwEM7Fe5rU+DDv3uvzX2qaLxPIBeKOAFM2J9apwy03QTtoDiGFtzw34I24s1E6xw5QTKhe/Ix75usGxfZSj/pxYUtdTjhWssVUQ3X6dkwnpyJTWa98F5RDoNJuTCbwVaqUkNvxbZlyftZNmKbkXg7pATJ73SgIX4QFQSs4lYHyuJakftrM9K+b0McYf5gI+O3Ab2NPkEzLMZOep4tOoWIUuMOWJAOk1F3ofNiPKHKQTTbT/DSRJxmwAhXSYLV1DiYzruBGE60m0IGXKYlYZ9RFT1OFQ6yDR825STSo7xuxITIOkHTforX32IyvEDg7rh1oChoEKWc0LLwPulWwhaa69+NVK9O/ErQPqHKnjMhYKb5OGOUizPGBMw4i5cz8aZhJk6b5OAYlWDznBRETruHddq5nMh7WPHiVzBWSYC7fSa8OfGGs65js24RUyvh4hiOcgzHjFl8vceNSnGSl09z+6ZhKd7nuH+hoqaHsgPQMxZF9EIS0YfCsD4UBHUh078Nt9zq8Bnb43vG2XjXOJOVhXdNuDVlmWXjLMd3xiATJzSzsVsuHaFT4rBNiyBx/znNvw1Xtk0XjVQqWwZBy2aQyoMfg8B/BVqAOFjb8HeHN1hPWudTyIaeqZFwIP4uYCR4F4VvG8LNTwdxeUc93qM3OGLcjMA5hbAZm8H0woRk3AenaYWwHFsAl5klCJAvQ8iyUlYF/Jewt69JRdJbjeiKf4y6a52ovNGM8rg25F1pQdZXNLnn2/Hp+ga+eK6s+WnwX5gF3/k58JiZDpcpaXCcmAbjl5Jh/Fo6gpYVI2B+NgKXpOGofQ18FyVj1Yu/wmrRHWyjF/FUzILT5HvYSeU7ZswAYlyFNwyZCqnCJ5gETxowhRkU4zRV8Qy3l6gi91zaUerXj6rgPlYvKvx7UOLbjULvLmRR7W6x/V80KsY7Bnl425DKYUg14+WzVIEz+tl4UzcHpzlBB1ULEDUpGaEzkxGtVQR7mu1lz/+IpRO+RZBrASJcy2Arl4iNGsU4yuc9zvGdIFDHubCOc4GdoPk+xe1pbt9ifWRcipsuLcgP7ENJCBcAqySoFyUBPSj27UCeVyvuONXjMrvAB2x973Esot4lWOcM0vG2fgbO6mbh7NocHF/JRTwjBUGTE7BhNffTgrtwXpAIV9U0uGtkwYNBxZv389UlaHpPQZN+7Y424K+g7fWpYRBokL4r8B9Be+rRRoATlwVsI9cHqGYieQqVG5K+uX7zdBc+ChQGlYmJEPlM4CqdJcEps0fYp9YGz7E5sHklFbajaN5H58LutWxYvJwK16kJuL6rCb03/4H6K30oZrss+KkZOV81IeNCK+4zfZ52K4X1awmweOkebEYl8THSYTcqjY+XBvMXCNmL9+G+qByB8kVwn5yI3VTVPVQnz3lpWPHSTehS1TYYZDMsSOA49S42y2fjdZre04TsNCE7Rf93iknwlG4hTrPeogc5y8m8QCVJsGtGqWcvqv0Iml8Pyr26UOJJ0Ny7kOHYghuW1fiUYJ7Ty8U5/RxOIIF7Umc4MW/R15zUoC9kOg6ZkIIQhpf12qUwmXgLS1+4CrkxPyHUg9bArQyeKzMQSlV+3agcJwnYacIu4DrFVn+KE/wm1UQ6NtbH/Nt1JuV87z6U+Q+wCJtPN8fWiSL3duS6tiGe9uRzgv+hnoAs80ll4F39dLyjl4VzOlwYa3JxdHEmYsffQ+xiemF6WMdZt+CuIN5MT5ce1vDUyv4TaKICGGhk3+9keGCK/QM0N1kYEF8cFqD9ccbHvwdNdohDpl4yhXv20IasxG19bKO8H1tqwge9+HJjHd51qcYp7Vpsml8Az/GZ2CBfzRYyiAMqbfCbnA/HlzJg+3wmrJ9PgeXzyTB5Lp7RX4Kijx+g/KtelH3bh3wGkIyP25DElvrLgS5ErUyDwXNxMH7uHsyeuw/z55JZsq0NwfWZz7a8tBxOE5MQIZeN4w7NiFUrhPXUZCx5KQ5KL1+XHsTdZkFFXZqBkCn3cZht922jArxFwM7qMimuJWBrC3BGm4mMcJyjFzmvV4RrZrXIc2A7d+tBmTsn0q0ThS5dyHVqR7JNI35ie/uIjyGdNJ1snKOCvc06p0vw+Hin1xTgMJV0A58zeHoatoizhC9Lw9qx1zD/+Z8x/6Uf4WiYjBiPIqwzK+drycCuVfR1VMQ32W7PiPFxPGd0WNye5fZt3v4h6wf6tDSm+GL3Xi6Gfo6tG0XOHSjg2NIdWnDVvAIXdLPxvi7h0kvDe3qpLHo13Uy8o82xauTiBD3ujqkMUlOSsEO9iF0hGc7z4+GiRBFYRUWjl/TQkimaD1/jvwMtxqZUGrhGQBPvc4rPov09aM/A9qx6/WsRNJFIpcfSBnCdyhb3aT+uvd6Bi0GVuOTYjDNa9dgwsxA+49IQOa8Eu5RbsXN5J1dNA0Jns21OK4PPlGK4TeDgZ6XhXY8G3D3C5PTWEJJPPUA8L/+wuQdHGeedpqbBelw622QO3CYXwmtaCbxnlsJrVin85lciYGEhnCckI2hOAY5ZNmOPWSl8luRA7dUEyI9OgOKoBFjNu4tdtgwLlP1Itt/omYn0Jll4mynrjHYx3lrDZKZZgHc0CJkGDfQaCT7mbd9Sfe4Y1SHbog35Vp2sduSwUs2bcdOwGpepku8TzrfXUsUI5zkBgri8Jh+nV+bjEBVq47Rkqhnb9+pi6WENq7l3sHzUL5j7wi+Y99JVqM78GevdC7HVuRgRq4vgNycB+1bR23FiT68huJr0fxybbJvLseXjAz7nJfrUG8Y1SLdqQZ4t26V1O7ItW5Fu3oJ44zp8R6U+r5nD8VHJ1mZI6wN6rXf5GOdUqbRyWdg57T5beiJ2rSzCLi4K/3lxcJG7B0dVBoHVVDRNgqb9Z9D8WX+0ToIWYc5FwtQtA61SmjpHDm/8H4P2ZzVjABCgXRS3D+KaCAsX+pDw4TCu7mvBF37l+NyxCe+sbcCWuXkIGp+BgMns69NLETSrDAEzy+BPSHxmSOA9owAeUyjLMzOxUYktRovpTLMIW1cXIFqRsj0tBy6T8uA+NY+A5cOHfi9gJr3Y3BL4zabBn5ZJWBMRTniOmrXgmEUtwpWzYDjlHuRG3YbiuPtQnJCGZePuwp877JhzHvaxBW0iABEEYNviZJzULMYJtVIcZks9pVKCs+pVeFutEu+rluMLtQrc0KxHqkEHcgy6kGfQiUxeTtRpwc8atbjI//c2A8gJlVy8viIHhxVysZ8taN+CXGyflYkoji2Yk7l1TTF20cv5yt+H5vgbmP/cj1g46ibmj77N7RU4rI7HAT++fut8bKCyBM/PRMyie9i/kgpN+PbJZ/A5CnFWjeMjFO+tLMHn6uW4yrEl6bUiy6gD2QZtyNRvQbJuM65r1XDsRfhAmdAr0SuuyMRxhXQcXZKOIwvTsHd2CjZOuot1tBL7qP6HDEoRuvQuPOln7RTvw16omTh+tiaLrVMG2R+g6ctAEyW+tS5Ai7YqxiaHMoJWgV2eVX+8BXXkj1Mi/BvQ/uzR/gqaaJlPQbsuzl3L9Bl3YRB33u/DL3tq8ZVfCb50qMN5YxpCTljsnDwET8qE7zh6t7FcIeOz4DU+G14TMrhl8XbXMYlwG8cURr/gPuEuPCYmsvhiJ/F+E7myqI5uryXBfUwSfCZlUBUzETIvneaeicyCKYeJcd2KfFhOT8Wy0fFQGHsPypPSoDwlBcsnpUCdZjfWMAtvuebxvvnYvboM69iqopkGw6bTP7F9RM/IQOyMbMROy8DW6Rk4PJMKMF+CS/IV+Ire84tlJbioUILzS0pwji379ZmEY1oWtrAtbpyWhmg+X9i4FASPu4dwgrxBPp9gV1NJuTAUU6A7KY4t8ycq2S9YNOYWFoyJw8JXr2H52J8RrJ+GQ17Z2GeXjx2c+Kjl9HULUxA46x58J99FyIx0RHBBRvJ5Nk5Nwf4ZfC0LCvHx0jJ8trwClxXLcJnj+1S+EO8sosmfm4GD7BZ7ZqZh5/R0bGIYWTc2EdFj7iB6Yjy2yKfhsE4JDtOXxiznvl98G7ZL42GjkgxHjQy4amZQ0cRbT+LwxrNh4M+tU3pqBIK2gaBtdRkBjT7t/wa0Z0sGmjhvLVunOBO3OAnfBXH6hB5c+4RJ9L1e/LC9Ft8G8cXzic9b1eAjiyacM2rE62ypB1cxAq8sx27lGuxSqsCOFcXYztqyvBBbVhRiu3IJS4IdXMFblaluKqXYztqxshS7VEuxd3UFjug14YRxO06YtuGwUTV2M5aHLcuCEf3GstF3sey1e1CZmArlqelQm5wGdfo1RbYIjanxCF1zHyfEV/MscrGXZnuvbhF2a/M5qRIbFQuwQSEf65bmYN0SmuSF6di8kNAtZvH6VrYbUduWsGiity4mZPSFmxRysHl5AbYpF2PPqnIc0GLp8DVyItevpiLIJUNr/E3MeeFnzHr+Kha/dgtyY29gyWtxkB97HYtHXcMKbl3UErDXPQcHXbOxxzIfe0xLsFO/CJvZymNWShDN54gW4+PzxXIcmxkuNstlEJoMbJfPZGVwbGKsLHmOdWk2ti7Lxc4VBdijTOVSLcbhNRU4tLYCB7SLsIN+MEzhPiGLg+WSWzBVTIA926Yb26YAzY2t1pOQedPTCdBEjSjas61TgLbergRbnMux06NSmjwPBtT+71vn34H2rKqNXB/5Dahrn/YQtF5c/bgHP7/bh+9PduLznfX4KKQc77uU46x5CY5x5ZxgohLv/R1hADikU4yD9EcH+YL3aUmwh21zr6aEl0u4LcJecZsmL2sVYx9BEFtRe/j3XWx3W1QLuBILCVg+HOakYs34BMiNvgX5cfFQnpiMlVQZFaqT6rR0qM64D6VZqVhOJVCfcgdWixIQqkk1tCjAZkb+DTS9OxgIdtH3bNcuwCb6mA30Rxs0srFxVRY2rqahJzAbWZs0ZNvNq7NZ4m9Mkry8flUeNrHlb+DkRdFMB8gnwmvJPZhMvwUltsd5z/9AyH7A4peuQ54peumYm1AYfVO6lRt3G0vYRpe++hPWzvoJwbop2GyRg61muVi3NhWbDPKwjZO7le1rCy3ARm2OjWqzUYPj0qDtYG3i5c0c7yaOR4xr8yoCSK+3lddFbePft/C1RCunIphwBS1Jhhv9osncX6G38FcYL42DmdJ9OKoRNLZOF+4fVwLmuVa0TZmiyVQt729BiyVom50oCO4V2ONT/ec31f9b0P4EGZXsFlumVNmk74H24vqnvPwJA8GHfbjydg++ON2JD/e34mRELfbzyaO5OjYSqD00rxu52oPpv7wX34PHQk7GQrZCeiW/JSnwk0tDgFwqfJfwNnE7W4fngvtwnXdPWm4LkuFJZfGWF2/8pkOHk7NqVBwUmC6XvHqXk5aAFWy5KtNSsJKtZuXMLJrtDJa4nCEFbyXbosrE+1g54Tp0ZtzA2ilXYSXP5xQ/0KWaCweFFJiJz7GJT37MugHrObdhR5Nsz3JawFoUD8eFCXBgOrOZeRPm06/Dglvr2fQ38+/DluM2mHoTyqO+h9zL32Pmc99i+nPfYTYhm//CT1g8+jrV7BYU2DoVxgrQ4lh3sEzc9toNyLOVLiWYqhN/gMbkH2FJc+6jVQSP1bmwU7gLy/k3YDabzzn7Gmzm3oDt/Ftw4LhcRFrkGB0X3ILj3Juwn3kNdtOuwo6v0WH2bemxMSeOzWLGLWi+9g3WjPsBqyb+iFUzfoLWgqswUkiAtXIKHNXT4LwmHc4EzZ2BSbRO4c/+E2jitAhPQSuXBoJ/A1qPrD4fge0pZOI4muxwxjOwXRRbejPpgVsq2ycE7Tz92QeD+OZMNy4ebcbZLY3Y7deAIItq2DDR6K9Ih+6yTGjTt2guyofW4jToLE2D0fJcWCjnw5at0k78tAzNqQNTkT1vE2VLKK2WpsNCIQOW/P+WbJGWS/NgOD8H2nMyoT4jlZOWiCWjEjlxSfRjyVCmiqlNJ2SzuCVkq+ht1GflQH12JtUtHUr0bSsYGBSn3McSbhdMpVei8iyZGY+ls5lU5yVCacE9qC26jzVsezpLU2FAM22kmAmjZRkw5hiMl2ZCbxH/Nj8RuvPvQm/BXegvvM/rKVg1PR6qk29DYfx1zHjxB0wmbHOf+wnzX7yO+ePYKlkCNvlxArR4KBI0Raqa4tjbkKPCzR9zAwsYGhZOuIFFk29iMccmPysOihyf0qwEKM9NwCqGhbXySdBdmsKxpcKE+9KM+8lUPgWmVCujRUncR/dgwPEZ8L7GfD3G85KhPTMBajOuQ3nGVazkIlvF0iagRgqJsFFOhsMqejTNFDhridTJtik8ms7T1ikDTZwnrfAPj/YHaI60OW60DN5VBK32r6AJyLqflLgs3kxnPYHsaY2AJ4NMfExIfPjxOkPAdXF4Q/zY2HtD+Op0D97b24oYnypY6RfCkO3OWLcUFmZVsLVqgKNtE9ydmuDl0gwf11b4iFMnubcgyKMVIR4tCPVoQrh7E6J5eb13Ozb5dmCLXxu2BXRhV0Af9gX2UJo7aTw7EWPfBlc+tiWTmNbcbMixfS6dTH82NYPKRfWiGV49gzU7DapzclgZUOZtitwuo79SUS6AtnY5jE2qYWpWCXOrClhZl8PWthr2trVwsq+Gi10l3O2q4WVfC18GHD9WkGMjwp2bEeHcgCjXWsS6NmKzWxO2stbztcXY8O98TDv1QmjS48kzBMx58QoWvEhwqFqL6cfkCdRSKtqysfEMA1wk4+5giQCNoWXZ3PtQW54JA20JzA3LYGVaCXvpbzVUwM2mCm4cn7ttFTxZ3raV8LWphD9vD+TtIXY1CHOoQaRjDWJd6rDZpQHbXJuxy0V87q6BY6tHqFkNbFfnwYBw6i9KhOa82zCQS2AQSIK9ejKcNFLhwtQp3hXwZKv21M2Gj65InSMeLQ8hDFRhpoUINxPvDojWWYpNjiV8rjLs9qIHDKihR/vbMCCDbKRGDtb+tWSqxq1QM/HuAEG78emA9OcTf/igD+8dE78PUA0DGm1zsXP44tycW+Hq3AY3lxY4O9XCxamSl2vg6d4IH69GBPo0IsS3CWH+TYhirWOt92vC5sBWbAlrw/awVuwObcEBXn5jfRc+2DeMz44M471dHTiyjhPsJ351uJSSn8f2SHUgbEr0aEK91Klmq+ZwO4dgMYkpCsDUimFgXgsrp3rYOFBxCZI1J8iKE2ZlWQZr6zLY25Vx7JxYx0p4OlbDhxPn71yHQI471K1aepbEGI8abBC/0sfx7/KTnYX63KYufLrzAd6O6cR2/s3HnACzJWsQHvnRhOyVqwwBP/MyYSNoCmMZXsbdxZJJNyE/OxGrlKjgxiVwsiuHs30FnMRp8W1q4GDFhWpRDAfrYjjblsKVf/e0J2SsAIcKwl+OUJrxMOdKRLpybO7V2OjBsOVThr3cP0eD6/H25g58uGMYZ6N6sZPtLcCqBPbcZ5YqWTCholnRo9mppsOR3s6F7dNNi7DRp3npsn1K1UyWOIWihRgzgBG0CHOGFCuhaMUErVgGmrcArYr7Y+RsQs9+Hu2ZivvjDXZR/wY4giY+l3b7U4ImggAT6Kdn+uDnXQ49k1LYEyp391ZYcQK1DMqgrlUBfdNGGJk1wcCoAXqM/Xq6ZdDXKYU+V66eVh70+KINNPJhppkPC8082OgUSM8a5G5aBn/LCoQ4VCLCowHr/RsR61eMY5sb8eGRTvzMEPLru504G1uLQKN8KLM9LJtKH8bUqTKD6jYrEyvZNpczoWnyOe2cW+Dk2gYD0wqsoHFevDwNSmzb6upVWLmyDErKuax0LF+WjmVL0rF0QQrk2E7l2bIU592BKj2aBo2+niJb1coC2GgUwk2/AMFUxWjxW1dWTIwB5TizpwWHY+uww7OGXqcE+oR86ZhrWPDaT1jI9riI7VN4NDm2yKWLbkNfLxeebvVwISimZmVYtSof8myHqmoSrNbgPlSVQI1jW7kiG0ps3csXpUJxPu3CvLtYPicOyvRpKxfdxeol96G7nGNTzYG1Rh6c9YrgTwsT7lgFf9MC7OSiOL29Bcc3NWBvQCOCjMXvcBXSo6XCWhzeUE+F8+o03pYtPV2Vp2idT9RMpmh8rUYFbJ1PQLN+CtpWl1Ls8qzAfn/CHVo3AtpI2xxRs2evEyJpC/070GTtUxxLk4JG6L7lNjqiBiZWhXD0bIaVSyPUdMqgSPWQk8+GvFwRVihWQ0WpDqor6rCKpa5YCU0lTsCqIpgwgVroFMFGvwR2+ly5eqVw1KtgEQztMjitrYOnfgP8jJqk5cmWEigOFPqV4cKJBlQn/wO5vwzg3C4qpm4Wlk++A+XJqVgxUxSVbGEmNJl6LdxaYWxVA9XVEsyen4Yp01MwnX5u9ox8LJhZjEUzWNMKWDlYPCUTy6ZnQImpVm1hMn1RKlbPS4XWPPrNhVnQmZsFbXo/g/kSWC6mCspRhZaWwHoJFWJpMpz103BkfT2+fmMYx8M64bSmBJpz0jB/9K9SH7botTgWQ8DcRBiZFMDPvwYerpVQ00jDArkUzGLLn04/OW96JuRmFUJupqhsLJmejcW0BwozMqUqrb4gDRqLWAuYvhdkQGdRNr0iPezMXOjNLobponL62krYLCuFGf9mKJ8FV+Ns7I8qw0+nHuOD9YPwE/tcjYtGNRX2avfgLEIBF6GraKFrs6ho2YQshyU7GV8wF7SsdRZwYUkIWhE2OshAEx/P3+dXicPBT04tKs5fe/ty5xO4Rs5h2yktAZvMq8l+h1MaAp5AJk7yIn7Z7qY4ly3r2hdDOHakBab2xbD1bYYxV85ynRLMWFqAZYrlUFOqh8LSBukXVebMKcW0qRJMncTVzQRpZCA+k1WELbFV2L21HHt3FmPXlkLs3lCG7dFchR4S2BlmYwWVRWEuV/aSegaIFthrtiLUtpWtsxoHYrJx6VwNagr/ietfNWN/TBn05O+yhXKlz0jGUk7GSs0SmHq2QdOyGgtW5GHG7PtYODcXSxaUYfasMsyYWoxpEwsw6bVcTHglBXOnJENrJQ2xfR6igvKxdV0Rdm4ox5aIImwNlWBjoASBdnlsi6kMHwwjr+ZCZXIpdOdVwFSugfBVw3iu+GGvTLy+vhbnjw4g0oFjZ5BR4rgWsIUufpWmn0FEUzsffkH18PIpgoZ2CiFjKGEKl59XiFmT8zFjUg6mjc/FlNE5mPDSPS4GhhSqj7NNLiKD87B5XQF2rOckRxZic3gBNocWI8A+l4rGsc1MwoJXU7BsggQaMyqht7iOIaaeoUr8DlQyXo+swY9vPcRWqq6tWj7sVuURtFTpV+1cqGpuHI/72nQqWgYhy2THyGblsHXmEbR8RFrkSxV8g4OEqVOCra4l2OVVTtDKqGhPzvh4+4t2wtQmhe3W5x2Epx2y0422PQFOwCc+j/asqvVJT/Jy89Iw708QLw/gm/MP4OVfAkvxqyNUshVsh1MW52KxSh0UV7Vhunwlxs4rxpg5JRgzswAzFmcTyhLsPdqCL74dxo1bQ0i834uk5G6kpHUgKaUDycl9SLxDiH/uw8XzHYiOKoUGW9Qsqs6USaWYPKGUnqYAhzc04+dLrTi0IxvfXmxGecE/8d6pCgTyRS+bGo9lVLTFS3OgR5OuQw8mx0Q7dloyFi4sJGSEfmYeJswswpgp+Rg/kZM5JQnaOjmI2ViLj5imf742iNt3O5GY1IF7yZ24d5/jY92504ZffunG+Y87ERtdjlUqORj3chrGv5CNSS9mY8YLTKYLGCJW1cGGrWh/VC0ORDTC1aAYa+anY/Hom5j32q9cgPdg614D74AK6BglYf6y21i5Oh+qKiWYPCkDYydmYdy0XIyZlM3x3Yc6J3/j5hp8dL4fP15lV7nbisTkJu6zVu4/ji2pC3cTaCU4tgsXOrFpUzVWq2Zi7KtJGPtKAca9IsG0l/Ngsayaba8ZNqtScZAL+o3YNthr5HKseXBQz4DTyhS4rUllEJBVgGEGQkyzEWKejVDzHOl5bKOs8hBjm89QlsvQUYhtbhLs9CpmWCvBgUBam/AqGWi3PhfnrB2pJ6CxpOe1lZ7LlgonYJJ6NQHZSPoUW3HCZKrb5SG8e6oHxnxCB792rDIpx2ylIsymTCtq92KcfD1eWVKG8YqlmMAXN5tqEr2jCT/efICUrAHk5nWjpKQDpeVNqKhuRmVVOyoqWrltQ2lpG/ILOpCe3oT46+346FwvHGl+p83mJExvwqRJZVg2Pwvn32rHt5/Rb2zJQ9q9IcTd7KcClbLlMcXNSoYyW68ujb+iZi6mzSUM03MwfR7HxFY0gaoxaVEZXpqchWlsiS7uJfiEih2f1IPU7HbkFXWiqLQDJRVNKK9sRXl5OyorOlBR3oHCohakprfgxo12vPN2FyyNJZg5Nh1Tx8jUZ8aLGdAjbHoLc+mT0nFqZys2+DfAZGUelk9NwMxxV6GswVTHEGFilYNFSnegpM2/qZVi4qx8vEbAJrIFjp+fhylzM2HtkI+PPm3BXYKflsGxFbZCUtKGktIWVFa2obqmQ7otLWtHoaQd2TntXBBdOP9RD/cbFye7yKSJFZgwvhgzxnKxK1fCWKEUDmyNh2OaEGpXAQvVbILGWpkEV6ZPT12qmUE6W2uaFLQwQhZqlo1IyzzE2lPJHEUJ0Oj9CNluX4LmV4QDQSU4Gl75tHWOtEpZPXtdXB5RNJmqydImIftcnLaKwH1ONaKy7aMvsnCvov9pgLxWEWYsL8Vy3RbM02zD82whL8vVYaxSNcYto+xurMfdtMfIL+1FSWUfaut60dDQhebmTrS196C9bVh6wr32zl50dAygtXUIDfWcbO7UlLvteP+ddqyhsZ4xlS1vZh0mjy1kSsvFV98048jhAlz4oBYZmb9huzj9O43t/Nl3oWNVB21G/zmKVIgp9zFpVjFemlSMV6aXYPQ8CV6dX4hXZqXA2K4AX343hJTMXhQUt6O8pg21jeKEM71obevg+Po4vgF0tA+gq3OAl3s4tm5IJK24l9iFD99tgy4naea4HMwcU4hpLxVh+vOZMFNmEFJKws7oRhzfOQA3+kslpuO5U69D07wITn4VWKYSjwXKKVwMEi6ETI4vD6NmFGIUF9KoWUkwZNr87OtBZGZ2obiIQHEh1je0o6mpB03N3Rwf9xfH1NnRg46ufjS396OxqRelJe1ITW3HZc6bqWERxo/NwmS2+EnjJJhD2NbMLYM2A8cGhrhdQa2wZPu0Vc2Do1oKnFexbWqlwlsnDV5rU5g6MxBokIlg+rtw81wGn1zE0D6ss80lbAXY6k5bQauz07sY+xmGjoycLFmkS9lB2pF65jrDgez3B0YU7Wn7FL8vIDtt1TCuXXqAbduqYeNbDzPXJsxeWYiJCkXQdOjHFDWmDq7ol+QaMV5Z/KhXEb69PoiScnFW7i7UtfShlTuknRPY2dGH3u5h9Pc+Qn/fMPr6BtA3MIzenofo6hpAc2svyotbkBjfhfWxNVBYzB01oxYzJ1dgAZPl62824p2PqnBgVwGSUx5i3+5y+DAFLRRH6h0boGZOMBUzMY7mfvyMMjw3vhzPTynHC7MK8NqSAijo5OLU+wNIyXhIlehDTW0fmlrEOdr6CVYferp70Ns7KD15c18/xzUwiO4eTmxnP1paujihnYi/3YodbLkKs7Mwn6oxd3QRpj2XDss1FTBclYVQj2qcO/Yb/VMV1fYeVJhaTRzK4OhTDnmVRI4vFbPkc/Hcq+l4fkIhnidor8jlY5lWPt440UYV64OkuJNj65Y+pzhFfkd7r3QM3T293GdD6OF+6+H4ujjOrs4+3q8XZVTgtNR+HN7fhMULsjGdoM2YWEj1lRB4BjJ5pknrQuyP7ITV6gKCViD1aQI0oWrubKEemoRNOxN+DFqBBvRoJrmEjf6V7TPapgDr7cWZuYulp4Hf4VVKj1aBwyMnS5a93fRvSgraCGQjJWubMtAI3udD+IWgbRaniPKug4VHKxZplWHS8hJoufQTLj7RomqMUmzEXO0a7DzdiSzJY5RXDKG2nquuTYBGhWgbRE8nJ7BnEENDjzH84BGGhx4RtAcEjTuvhyrXPYSmhn4UZPbg/HvtMFpbjvkzK2jaazB1dDa27qnHW+/VYHN0IRLiHuPwwWoEepVATiENhlwASkZFkF9N7ziHYFENn5vImlaC52bnYa5GOTzCG/HrzX8gL3eIasGxNXEiWzulZw7voFp0d/dhaPgBhh4+wMCDYem5dbv7OG4ujs4Oqkd9L/Kyu3HxozYYMK3JTcnBArbQGS9mQYsKb65fimC3Ory+ZxChnvVQmXcPOpoFcPCohC0X4BIVQqaYhpmLCvHcaMI2SYLnZ0kwWbUIHqH1uPbTEApzu1FW2Ym6BipYaw/H1o2OVkLWxTENDWGI+62fY+zpF/uMwHHMXewKTc19KCnqpr1ogwXVdM6UIsxi8JkxtpgetgqrlkrgaVZKH9kDG02q2epi2KuKU4uK7w3IPjIkPpsm+xRHDgKYPEUYiBBfb7SWYJ2NBOvF4Q1n8YMW4vTvlQStWvqZNClosuNoomQK9i8llE2qZH8GTWzF7cKfXbn0EJGxtbDxYqKiD1pA6Z+pVgkt536MWVGL55dUY/zKBiiZleGDL3pQVvsbawiNjVSyVnFG7l7pL6V0UdnaWh9y1XajuHgYQ/3AIHdaf38/V+kQ2nuoHK1UQskgbvzUD3vzEiycXoYFk+sw9dVMRMVU4o1TdVgXkIOr3w/i2KE6uNjnQG5FMkw8W7BUOwfz6B2nzC3C6MlleIGt83m2zucJ3nKTCmw5KNrfA5RI+lFLtW1uaWc770JLE8fFhdDY9IhtqxsFhT3oHnhERXtE0DiZff3o5IS2ctFUlPfjlx/a4GZVCLnJ2VjwmgSzX2LKnC+BmT4V1q4c26OaEe7TCuX5CdDmBLpxUozMMzF+znXMpcLNXJSP517LwXNTCvAKU/Yi7ULE7qihbXiA0oJ+VFd3oKmRisZ23saO0C5Om9/2gD62E7n5fQTun+hnJ+jr7WdRibu47zi2aqpayu1+hHtVEbR0zJmUj1ljJFDgYlVbWgpnfQIS0g3HtQUErRD2K7OoaOJYmgBN9iFIL+0s+IlfUdHPQbARFc2sQHaw1rYIG9k9NruUMBDwcbxkoB0OHlG0v4NLWuLQhqxEO/27Y2m32VJvM3H+cPEBAsMq4OTbDB2LSsxi+lqwpgbazgMYs1y0zSpMVavHapsSXPpWtMtHqBU7h96is5mtqV14M15vJsA0/F5eadi1oxCV5X148IgTKm0HbAMEra2jF9VVQ0i40Q9bkzwsYBhYPIntc1Q2gv0r8PqxWkR7Z+AH+ss3DtbDQj8FS1cmw8K/nd4xB5MW5mAiJ++VSQSMoL0wrRwv8bqqVSn2HqtHZvIgasofoEGccZLja23pRyvH2N7JhH27E+6utxEelIiikgGqx//i2IapHmz7PQSNqlZb04s4BgNf+0LIT8jFotESzGUCXUpTb8JA4mJYiM0h9Qj37oTy3DhoqN2Fu08FdA1SaPx/wvzlGZi+MJugZRK0XIyen48V+oXYc7ARubQD1SX9aKrrpEKJX5npRLv4WSMu1sTEFvj7JCIk5D6yszoxNPg/tCBD7AZUO/H7DGz9DbWdyE8bQGxAMWZPuov5bJ1z6SMVplVCXRxnoy/b4t0BN70SOKrnwF4lQ3osTXwTSoDmqSUDzVcni6Bxf0tBy0e0JdVMgOZQhC3OJdjuXip9Z0B2HO2P1tknBelfSgqb7MCt9Mct/lCzkW9EDUlBi2eLFSdL9g0qhqd/KzQNSjFNPhty2g3QEWflXlGB0UtrMGtVCyezHO8ybjfX/g86CVt/00P0tLDt0MB2dT3kKv0du3cUwMi0GN4+2VSXWjwc/ofUo/X2UNm6xOnfCRohSL7TBweTLCyYmI8lVKfZLxfA27kSR/ZXI9orE19/2o4TBxphqJGM5YzvlgHNBK0Ao2ekYRwV7PnJRfRnpXh5ZhleY6tSsypj661D+t3HqC95jJb6R2htfIBOBpEumuuGhoc4fLgIWlr3oK99Awl3W9ne/yE9U3gXW7to6230mI0MBklx3Qh0yIbihCzIM3kufjkN8uOzYbK6AnYa2dgS1IAI7zaozInHagYAD78y6BumMA3fwIJlWZgqQKNhf35qPsZybEoG+diyrRbZ8f9AY+FvaK8Z4tgIN9W9S5xMuvMfOHQwF7q6qTCzvI8Ln+awG/yTNkScMl/8As0g70NAGbgkWYOIDa7AnInJWDi+CPPH5mDZ1FKoMYEbLk3BBloML8Mq2KpkUtGS4cJ957o6/c+grc1+omh5CDeloklBK5YerN1Cj7adirabirZfqmhP3hmQtc2/L5miPevRhKo9+SQHt+L31OPo1X74ZBg+/kXwCmjBGr0KTF2SyzbVCH2CNkWpAuPkqzBvVRPW2DUigO3tg/c7cPliK6792Iv7dx4gM/03JN97jI8/boSbaxHMxLk1NheitKifisH21E0fJPwGVUW0gLq6bqTfG4C7RS4WT86F/ORizHk5H+5UzEO7K7HOMwdfvt+Gk/s5BvVErNTIgKVfE+Rocl+ZkkRFK8CLkyV4cUYpRrGNTlDIwyrbKrhQEQ/tr8N7b1VzfG24+usA7ic+RFJCH947WwFHpzSYmuUgyC8T2dk96GFr6qTZ7mJr6uDY2tq60VTfhdQ7PQhxzIbSxAwojGLrfjkVCmMzYaFWDpuVGdjM0BTp0QS12fFYoxwHH4JmZJSBuYsSsEAhC9MW5uP5iTkYNbMAU8SP8tM7OXnm4+DOGrx/uhZffFKLG1cIdMIj3IsfwqWP6+Dhngk9Ixr1gEwk3e+kZxNBgL5SnM28S6RRcZrWDhTnDGJjeDUWTk7F4nFFbO15UGQwWDW3GLoMTeudG+BnXAvr5ZlwULknDQMuGk9B82YY8NURoMkUTRywFaDF2sjeFdjC1ikDTSha1X/TOkXJQPtXj9bPMCBAG5b+RI8446Offwm8A9ugqVuJaXKcfO166DsNYhoVbYJ8JeavroOuUzssveth61UOR/cSKmAFgkKrEB5ej+CgRjg6l8HGtgyRYYW4c7OdK1amYJ1dnEyuzI6ObraLbtRXy354zI9+R3EaPQbb4LxXcuBqkY8DO8oR456Ny+dacGpPAwyoGKs1c2Dt30zQ8jFq0n1MnVOIUVS0V2YX49UFEkxams9FUA1Tt0pY2BXAglHd3imf3qmQC6gQ/t55sLXKgIkpd7JPJn76ga2r4RF9ZTdBY/vvEqm0G+0MDY1snclxnQiwzoTa5HQsZ0tfSkVb9loarNUqYLk8GVsZmmJcm7GGoK1VucOWVwpjg0wslEvCfPl0zFjAhTA1D69xnDMVSqBpXgVT7hszWwmsODZnx1x4e+XD178UPj5FcLTJgbl5Prx8svDd1y0c22+EXqRR7jd2i44OWhMugpb6HmQmdiMmoAwr5mRg8YQctvYCrJhQhtWzi6A56y5i7GsQZFoPa4UMOEpBS5K+O/AUtIwnrTOLoOX8K2hsnTsYBkTrFO91PvMW1F/h+kv9beqUgXZLfKeTLfQnghbgXwx/gqalU4kZS7hK1tbDwHFACtrEJ6DpOXXAzr+LoaEFdkyndu6NsHWrh41zC2yd22HvWImNMaWIu8bVV/cA7U0ijTKmi+NVHV3SndXc0Iv6ykFceKce7mbFWL2gDAoTuDI5oc4mOdi3haC55OLS6Wac2sVwQtC01+bCjoq2dFUBXp10D9PnSLiVUM0keG1BIVt9IdZyB5t7V8PMpRKmHIc5d5oFU5S5dREsaOytrPIREpyL779tpUccRjMTpvBu4sfR2sXvH7S1o5Upur5sGL983gR33STozsmC0qh0KFLRFF9NhY1KBczkErHNs5bK0QjduQnQV0lAAJOxmUEWlsgnYcFSgrYwD69My8PYeYWYvUyCtWb0T56VMHGtgIUTVdG+FFZ2RTDlojQRY7QqQICfBN9+2YGaMibzevF7DOJnKOktpWPrZKBhqKkexNUvWuFjlQdNztHSiWmQoxdU5v7TmFmINdPjEWNThVAB2tI0OCrfl4HGMOChmfGHovnpCkWTgRZO0NY9A5p4n3OHRxn20Hf+16D9a+v8N6CdF2flLuKLbcVa7QrMpqKtWNsAQ/sBTFcswyS5CixUr2MibYMTQXP26YSLbxfcfGk8fZjQvLrg6tKE7Rsrcf/2IBoq6dfqBpiqBml0nyRT7riWxgHp6d/z0oawK5KR35jeZlkFW5QES5g6nQyysSe2DLGOebj4BkHbXgdj5Xjo6OTC1qcBy9g6R0+8hxlzijCKRnjUvHyMWUjVIGj6tpXS8/1betQS/hougnI4OZfD2akGNtyJYcESXL/Sj/KSYdRViRM4y4JCi7Q4tuZuNFT1QJI6gP2R9DJsLWby+VAZnYoVo+gTWdZcdKYLE7HFrRrrHepgSNCMCFqQZwksqWjycvexmEoya0EOXp2Wg/ELcjFbMQ+6lhWw9q6ChUclbNwZugics3MVnJwaYE0THhiQiyvf9KCKSb2usle671qbREjokY2viaDVd6IsdxBv7CiBs142TFcWY/mUNCiMSYPy+AJoTJdAc2o8Yq2rEGbC1imXAkel+/RoydLUKQMtXapoArRA7uv/I9D+3ceERup/CxrrZ3GyZN9iBDOy660pw/zFuVjJMGAsPSt3GSYvLsditRqYODbDNbADrr6dBKwTnixvrw54u7UhMqASt37iTqp6hMZqYb570MzU194oftyCE8nrjbXdqJDQL71eAW8z+gPbVpivKGeLKoDimHQ462ZgT2QpNjLxfXa0BW9uY+pUvSs9m6It29Uy9Xy8OuEeps4qxMvjqRpzczF2QT7myBXCyLocdoz9th41cHCvhoNbOVzYBpztSuEuFPJ8K8oLHqOqvBt11aJ1cqyNPdyyuG3g2KqL6ZfeqoSPYSICzAphsyIf6uOSCFsSYbsPy2XlMJ6XiK2u1dhgVwNjtk5TpTvSb6rb6GVg2ZJkwpaGWWxro6dmYRIXwhxFqq0VQwTH5iAAc62EC7cuzrxsXwtPh0JcfLcJVflDVLMO1HJsQm1buN/Eb6AKyBrrW1BfPogv36OXM6WC2lAR1RkypqRDaUIGVk7Iw5qphdCeHIf1FpWIMKmGLdu4k1ISFU2AJjtY+xQ0cZrXbIQYP02d/38HLY71C8NAqE8xI3sbjFaXY8kimmutBpjb9WOuQjmmEjR51RqYObTAzb8T7gTNw6cDXoz4vh4d3FmVePv1elRJqGSV4kcrOHn17VyFbJfccS014uzcnSjP7cWlM7Xwp1/yE1+I4ONZKRVDczondFIGXNamYW9YKTbbFuLSwWa8uYXqpJbIlJgFe69aKKrlYfT4REydkYeXx+bi1Vl5GD8vF3Pl8mBkQ9/oSZVwr4QTFU2UM42tk40EW9nOM5KGUVHcjxqOo6G2Rfo7CA21XRxrB8dGNSl4gO8+akKw5V34s61EsuU6KGVDm616LZVj5av3YClfCpPZbJ1Uo01sUWYz42G+PA4RbhLY6XDSFycRtlTMmZ2B1yalYzIXwrxl+VS0Yo6tjOOpgJtzNdVfjI8t1LoQ26OLkcOwUivO+1tBW1HbjsaGVjTWtaKJlxsq27hfe/HThRaE2BEagwyEOxDcVXlQm5YKjRnZWDUxF5pTCqBD0DaaVSHauAr2VFcXZfEWFJPnmuQ/QPNZK1rnU9AizAuwzqpImjrFp2u3cp/t9BCf3KjEQYrH07egCNpI/R1o0gT6+V/DgEid3F4kaGydv3z8AOE+JQj3amWEL4fc/FysXlNH4zqAeUtLMUOc9XEl25JdG7x9e+Dt3QEf3ldA5u/SgmD3Uvz6eTdayx6hqawfzTT7TTWtNP3tqK3sZEvoRGFyPz4+WotA0xzG72KE2tKLOdJLKBVAf3YB9GZnw007DXuCS7CJnuUSE+eZDdWwV7kLY60sOHvWYIVqNsaMS8CMGVS219iaZhRIJ3OOfBYM+HhOXtVMvVQw50oWU6hTMdwZDj4+1YKitF5UllAxOJ6G6jb6xE7UVXShrrQN5amDuHyyFkFmhEw3FZFm3Plc5U4r0mA0IxEW87KwevRdWC6SwHxWInbYV2CLFYPHtHhYLbuNKJd8OKxNhdKCRCguTsO8Wel4jf5pyhwGBIVcGJoSeDfRMqsIWRUVtgKu9GpuHNu7h2pRnT6E6qJ21HBRNoh9VtXKsXF8Jd0oyezD5bN1CLFNgZteGvwtCxFpXwlHtRxozbwHo4UF0JqUB23CpjvpNjaaViDKsBz2SxLhopQMZ3WhaP8GNJNnQSt68jFu2YcepaAFVeLoyE9d/0fQ/jieRsCkx9JkkI2c8EV8Fk14tF/PDyGKrXOdBxVGvRQKNMFaGnX0Nv1MUsWYs6AUiipVsBa/M+TFRCYA430DGAh8xflZmTzTf6bcFw2giZPZXNFOqW/hxDahOLcDqbe7cXZPGfyNUuFnUIRQy2pESn+poxZ2SvkwmpcHk/nZ3Bkp2ONXzFWZg0t7CFpMJewU6YM0MuDMlqiskoXxY+MxY3o2Ro/OwoTphQQtB3Pls2HMiXfxoFq4lsOT3szbicDZF8PHNkf6NcLydOGB2umBOlBV2o5KcWr6/A7k3mnBxweKEWh4B76EJYILYZ15DjYwQLgtT6FqJcBuQSbWjL4Da7ZpS6rYLo59mzlBm3wDtgq3EOOcByetFCjNjSNoKZg/IxXjxqdgGlvoIrkcGNOLOrNVughFcxHjK4UnW3qocyG+f7MZtcm9qC5o49gIfhkVrLgJ5TltKEzswifHmOzN7sNDJwWB5oUIImgxdmy7atnQmZ0AK4YC3Ym8PD4L+uNvYpNxBaL1y+Gw6C6c6dGcxXG0Z1qnAM1fJxtB9KChBC3KogAx1uLtpyJsdpId2pB9Fq0Sh4IrcSz8vwHtmZK9uT4CmzhgOwLaMH79eAjR3oWIdWuGnVoJlGdnQmdVLRys+yG3pAjz5xVDRVl82YNwebUjUPzGgPgyCu/v59CMPSGlyPmlHR0CNEkbGoqpHEUd3FmNyIpvxpmdhfDRT4G/QTEiLMoRZVnJdFROL0bfsiIXJnOzYTmPBlwzGXuZ4GL1M3BpRz3ejKyAjVw8DMTHkgmRygq2o7G3MWNaBl4dlYkJk/MwlaqxYEkmzMzK4E7I3AiZp4PszXhP2xIE2GbjHl9/VSpBy++iDyNoHGNZdhPy7rTi4pFieGtdQ6BuFqJM8hBN0GLNsrDJsgDuiskwnyG+ppcGzdHxsJmXA+tZcdhpWYZtpjT3E67CXv46Yh1y4cpFojLjFpQWJWPx9HRMGJOMGTOZCsUndQ1L4OZUBg/Hcng5VcCHauZlV4YIlwL8eqYR9Uk9qM5tQ7WEibiojhajFpL7bbj4ein8DROkn/cPZkIPMae9IWix4rsIBE13VjxsF+XAYEImdMdnwoigbSFoMTq0EQsSqMji8IYATYSBVHgRNF/xc9cCNCpaGF/vCGgb7AVo4mAtFc2r7AloVXg94slxtP8M2rOfun3ykSEpbLK3o0YU7SoVbaMPn4yR3XGlBGqUfl3VSjjb9NFzSLB4jgTqSvQ+1k0I9WxDiFs7wqS/592MYPFTNkGFKPylE/3FD9GSS/nPo3LktqM0tQn3vmvGOsq+t5YEkea1NJ4lhKwU663LsMm2Ao6KGTCbnQ7rOWnw5crb7SLBurXJuMggcCq0FJYLr8FQ7R7cCZraihTMnHAbs6emYcwrqZjEHTxjZioWLUyHJduTF42sJ3eWj0Mp/Owl8KUHCrbOROrlQdSlDKKeqa0qk5Oa04GKjCakfNeKrU7J8NNMImB5iKGSbmBtNs/GFvM8eCowAMy4Dfu5SdAefQu2czNhN/sWdpjT9xmVwnTsj3BY8gu2OObCQ+MeVk67jpULkyA/jQtidDJmTU/D0kVcBFRxT8dSeHMB+BE2UT42xYhyzcG1c81oTn6Imow+VGWwfWa3oDytGdk32rEvII2g3EKweT7CCESEpfg0bC42iC+2qGZAb+YtOBJkw/Gp0BubDOPx16XjWq9bDLclVLQVd6XnsHVfkwJPKpoUNHEMjYsq+G9AE+8KyI6hlTMI/B+DJvt8muxDkbIPQt78rBs3xJkfxXlsP+uhovViT4Agugae6gXQnp8OY7ZQH8c+rFwmwbIFhdBSoWJY1yOcShbh2oIoZwLk1IwI+xqughKkfNqH7oz/QWv6AzSk96EmpQeld/rx9fEGhBtnIdSwFDFUglirfGy2K6bhL8U27ngPlXTYLkiD/fxkhOllYrcz4/bae/iUQeB4IJPfop9hvioBvj6V0FS5B4VZdyHHhTCJSXDmlAzMnZ1MT5kMayOCxcn0dSiBP9UiiOY2kBMTbJ6OX053oVKcKDBtELUpDAQpvahI7MPVt7lgdO8iwigN6y3TqWKZ2GqVhZ02LOsc+Cvdg+2s63BacBdGEwncvFS4L4rDbk72TrMiWE78Fi4KP2G3Wx4CNBOxatov0FrCQDAtGVNfTcScqclQWJAOcz0JfOw5NnsqLCuQlwOsShFmnY1vDzeg/tbvqL47jNp7A6i5348yju36x/WIsb2HYJMkRHE80VZUWm5jrbOwhd7OUz0FpvNvwX0ZFXPSfRhO5KKYdg3bTSXYaFgIb8W7cFNNgNuae/DUFqClPj1YK0AzzEY4F5cUNJtCJs6iJ0FAljgPiCAQWo3jUX98OeXvQZO+mf7HhyLFuWvbWSPnsO3ENXH+2ott0tuvftyJo1Sl7Y4VCBbfQ6TnsVpTikDnHqgzNanLF8NQlTvHth7RhCzapQnrHBso4dw6VGEd2+ExryJ8vrsYP50qwi/nivHVG0V4bytfgDVTkj5fjFkJozf9Fyd/G43nDsK2k+3NVy0VjouT4SbHyTbJx0F3KprmHVzYUoPX/fM5kVdhp5WAsIAqBpX7UJ4Tj+WzUzF3EpVsTjaWzE/B0nkEQr+Qk1jGKpZCFsK4HsL2F2ycj60OOTgTm4nPDmXim5P5+PxYHt7dkoPt9qkIXpOE9aYZ2GKdhu02adjB7V67dOy3y0GIKlvP/OvwlGMQmB4PJwLtIxeHgzZ52GddDJup38BX+Wfsc81GlO49aM/4GcZstyozkzB9VBzmT74PxbmpsBDfJxCA8TUH0QsF8fWHWJcgyLQA2+zT8H5sLj7dm42vTxbg86P5eGdbDpUlBSGG96k2adhgl42NVnlcmLl8LRnY41IIX40k2NJWeC3PhMVUQjYzBS4L4rCLrXWDYS68V8TDm/B76d6Hn2G6VM3+AE0vCyFGOYgw46KmF11vJ2EQKJIGgZ1Mx3t9y3EwUObPTkT/b0CTlThgK1OzEcikSiY9cTLBE0XQrp/vxpv0WdttmDw1i2A2Lx2mKwq4Y7qhvjgXavMlMFzO1Whew/bajFjHRkptPTYRtFjbKsQQoF2OWfhkVwl+fKsYV94uwZevl+PkuhyEGlEx9PKYhsqxmbBtMS/Cdsb9XbYFLBruZYRkNieU7SmWQO53IGjq8fgkthqH3LLhvOQqbNTiEeVXA3P1+1gx5ToUJidh3ljCNjEZi2ZyMufcg70O1YueLJSPGW5TgDAm13CLfCYrtkSbVK5MgnZEgq9PS3DpDQmOr0tHmNENhGknYoNRBrZbZGC3VRp2mqdgPyd3P9UtcFk8XGZdhcfCBFhOjYf9TE7cgts4wMWyg4vCYuJXCFW9iT0EM1ozAdqTf4Dh4rtYxUmf9codLKbKKM9OgfWaHClcYeLAsY0EoWxVYZzgANNc2ol7OB1F0I4W4ss383HpeCHe3JLHFhmHEL0kbOA4NlmKdp6DbdbpXKTp2OtQAD+1JPraW3BbmEJlTeb4UuA0h21dvKVEoLw4ds/ViXDTug8v8enaPxJnNgL1xLzkETSROGWgyd56Et9Ql7XNw8HV/x60v4ftLx5NGgrEmbr76NFkJ1G++ckgPohswBZT+oZVpTCn2dafx/hr2QOtRcVQm17EHUhF06vBZodGbLTjfe1qsc2GCkcTfsivDHc+7UZpwkPKfj+K7nQj/3YPkn7spNmup5JlIEavgI8vwXbGafFbArus2H6sSuC86D6sJt2Dzfi7iFTPxQ5xbGfZbZxnrN7FNuZARTFXjEOkRx3MxMekxTfExxGyUemYPeo+Fk68ixUEwF6TKcpKgghr2RcuIi2ZqGjsNzll4Zu3mpD2cx8Kbg4jP64X2fFduHelHZ+9UU3jfwfrdJKw3Yht24RqYZyBAwwD+405IQvj4TD+Z9hNugkTpl3LiYlwn83UaciFo8MQM/orRNE/7jRJxzq1u9B67Ufo8+9aM7Mw58V7kJ9wHytnJMNGPZNgFXFM4tQD9KpU2jA+V6xDGr5+vQW5Pz1AQRzHF9+OvPhuZFzvxvdnm7DFnotBJxGbTLOxld5xu0UqdhC8vYTDW/E+TCZfh83kuzAdlcyxJMFx2m1s52INW5kGn6X34Sm+M7A6hUFApmhCzQRoQfp5BI1+j/Mg82cy0HZ6iJO7jLRNdhT6s5Prnvng438GTVayt6NkdVMUQRPvCtwUh0AI2sX1zfQe5di6mklvcjbWTmPMt+qH6eIKaEzOh/H8fARqVWGHvfhVkGrpj0lst6rkapPg+2MtaEx6jKp77ShJbEBRYivy4pqRca0RiV914fXgQkTrpWIrPcEuKpqQ993c2bvMS+C+OAkWTHSGL96B33Ia3VWZiFx0Gx8EEGp6NufZcTBZdEN6kNJGLQPKBG3RmPtYMDoLs19OxeKxiVCeehf24v9ZC/XiY1izCNp6AvDh1lJk/dSDvFvthIwTyaSZk1CL9BtNSPy6E2fWFSJCg76LPm0/ITvIST3EST3A1hK8MA42L/0E05dvwHjMPZiMuQNXptCta3MRo5YOo1HfIFY9HTsNM7CJhlvv1SswYWvXFUn4OXEekXtQIQg2SmlYZ13EAFSA9VTaGAumW/MMnOVzF/7Qj+IbHYSsGQV3GghcI4NAHbKu9OD9TaWI0ruNLYRyh/CFhGyPZR7nqQA+7AQmY67CjCHF+OUUGL3MVjrhOnbqFSF0OdVLnqCp0Zut4eU1mfDRImRrc+jP+LoMcgk6F6QFQZP6M4Yb8V1OgrbXtwKHgkTbFP6shqD9TRj4T7D9GbRuFm8TZxQSKfR8Py5uqMdJFyZI7Sq4TWJkZlzeZNoNH6Vq6EzMgOlMyv/qKuy2ET81U8OqZMQvxSEOMvXDVrTSwFZxZ5XfZd3njrtN0H6u5WQ24KNt5fQNKdhskIOdxpRok0Js4QvezAnzl0uH2Qu3YPD8HXgs4cpfloawBfF4012c/v0erCZeh+mCXxFNk++0Kgtq4wga/c/SMTlY+EIaFEYnQm0So7xKBtYRrg0ibLBlbjbLxnr9ZFx5vRX5P/ci72YrChObUXi/Fbnx9cj4tQFpTMRf7S1HLJPdXt0kHBIn0jPgZOqkYpdWGqLkqLTPX4HRczdgOi4Fhq9ch+vUa9jCcUcwkRq/9C382Sp36qdgD/+vOUEznxkPo7kZUHghAUqv3oH6uDjYL0vFei6wTVxgGy2oIEyRWwjaVztKUf5DB0p+bUThnToU3avjgmhE5q91yPixHl8fKecc3MNGPv4OJuHtplnYapCBDbrpCFiezAV6DaYv3qaiMby9cg/WE36VgbaMKrb4DrxWJdOniR98y4Kvdjb8qMKBerlPQJMFgVjajBF/tstTHD+rYNuskoJ2Yh1Bi/l/AG2khd74fECqaLcu9uPyzkZ86NOI143qEDazAFavUbaVanDIqJc7Nxc247LgvaQI0asqELOK6XE1lUC5ADv0spF6tgGdCX2ovtmGstsdTJttyLtG1fixDgmf1eH8ljKErkzkSuPkqWQiakUGIhTTEcnE5M0EafZ8POzYDoMUJPCel4TgJQk4SuMcIHcHa1/4EXZL47HNuYirMwe60+5A4aVrWDkmFYov0AO9kgCNMXdhLYy6SgoC1OitqDIh3MleS6/ihwMtKL7Sh5IbnSi50wLJnUaOrQk5P7OdchF8vaeKE3MD0Uxp61ckYz0nMEYhEbEEKWQ2lZLPZfpCHCwnpML4xZ/hM+c2ttEGBM+7QyWh2o35EYfMs/A6FceTLdaMims3PxtaY5Kh9mIctF9NgM3s+/BXzkCQagaC1bhgqczhq5NwIVaC8u+7UPJzKyS36ji2KuRcq0P6T/VI+aYGXx2kldGMR5BiIlt0MiJUEhG+PBFhy5PgMy8RtqPiYfViMsxGpcLg5ZtwmXFbeo64oMWJ8Fa4B+9VbKGamTLIqGayA7W5DBm50jfTo8UxOXpa2fGzkY8GVUjT5usR9GdUs1Ox/8ajjdR/Bo31WS+uE7QbArRLA7j+Vj8+8Re/olaBbcuK4DouE05TMnBMtwuHVTsQMDEHTq/RtI9nQpyYBrfJTIvjaTRn3cEvO+vRGfcAVVfbIPm5DflXWpD9fQ3uf16FuPebcdyrAA6T43j/e1RLUUlwn5gEt7FJsHslGVavEK7FZawiOE26jV26DAXGEvjMJ0QvMMlRJTZZciVbFMFmYRJWUVlWjuLfuBjUXkyE5suJ0B99h5N8E1YT7sBm0h3YT74FizHf4xPKf+E3PSj9pQeSX9uR+2sTPVEXMr5qRdKFVnwcVQ3rMV/BecLPHNcNeE68CZ8Jt+DFx3Kncjq9wBDwWoq0vdu8+jMVNxk7dYvhMeUm9F++Ct0xP+MQzfohGvuNilkwJ3x201JhN0uCtRyb7ot32WLvwHz8bVhP5IKalAgbbu2n3sBpt1wUca4k37ch56dWZF6h0v5AyL6oRfLFJnwYVQSXmb/CduwNuEyKhytfl7uocQwpr8Zx392HzWs5MHopAYZ83lAu3m2aefCbH4cA+lnxs5RCzXz+AI2Q64sgQEWWJk628pEgID2sUY4DTJtHw6rwRmQNTsXU/Z+D9myNwHbjcj9bp+xdgriPB/HF+mq871aOE2srsXEmYXs1GQHTs3F0VScOLm9G+KQ8eLycBufnk+HwQiqsnxenc7+OI4b5KPxoGCVfdiP3yzZkfNaCpPM1iDtXh+/2tSJUicb1+URYPZfCVpQkq+fuwU48zivcCXNLEbhYAhemyQj5dJyyq8Emrnw7Jj21l25B9ZVriNSjUXcspCJkMmHdhQZXs9arSdAdnQadl5Kg9/xd6D9/G0Ys0+eoLM9fhfFzV6i+95FwhgHgS4L2Ux/yvu1GFl97+sfdiD/eix1MaObPfQv7538lVDf42m7B9TlOKh/P+YUkOL+UBls+j+UrV+HHRbVbvwxR9ED2hFHzlRtYTZ8UyTR8mAHkAAH0nU7gX70Fh2nZsJ2cDkNCoMcx6fOxjWgRTF64zX3By8/9QkW/i7jDHcg834b0S51IutSKxE8akfBePa6+3oStbJHGL7Ad8/5WBN76BUJKFXdmubzApP1qKkwYBAxfugrX6eJXU9hxlFLhy7bpq5oKP3ozf60c6Ue3/dk2A3T/3Db/8GfOxU/eDSiXvu0kVTOmTQHZf2ydov4OsJGSfaKjV6pmNz9jIPisH7cv9uHqyS58FlyBT235JMursWlaAdypNr5sm+tnVyJ2Ri3CJpYjYEwJvEaVwOWVXLaWdHjQ9Irftfx5Ww+uHe7EL4da8e3uBnzM1LJJKw9WVBurF7Ng/3ImHAmW06u5cHktFx5j8uE5oQAeU7O5YhOY8tJw3KIWh02KCR6T79g4qL+WCNXRcWyNd7CPoImDpQEKqbCgQq4lgDovxcGA/sSQyqj/4n0YcAIMqSSGnBjD5xNg8jIjv34hvt/Vg7tvDiDpzAASXu/Dj1s7sJ9e0WbMDZjzvrb8v2LxOL6YxkqHA1+XLQG2ZEixeuUmvAj9Ho0i7NQqhtfsBBi/dhOrmUTV6MGsZt3EEU7aUXqvXep8TQwAFqN+hdlrt+jbmAhfpb+j6hoyiRoTXhOqnCE9nCnHtoHt7TNO6i/723BlfwPH2YDzkXVsz/lUWi4ajs2CY7OiH7V+KZXhJA1Or6RyfEkwf4l+8AVCRvXerFqAbWvyEUTb4b8iBd6rM+BLyAK4//20c2TffPojCBA0y3y2TeHPJPRnJbLDGoGibVbheKRImzLQ/reKNlL/CTQRCGQnTBZvSfXgNlXtxr42fO1XhvNmlXhTuRRbZ7Kv0w95vJTMF5hOlcuC2+g8Snc+nEaznfK6E1XOnW01cA4VSTGVPiIZwfLJ8JhJMz2a/umVFK6+DDhSfZy4dRpN4F7NhMPLyXB9LYmw3UP4YnH69zp6nXJEr+AkT07GGkKmwTarMTERaxgCwtak4Q03JlfDAoQqpMNpKhPpqBvQfeEatJ+/CW16KR2CoUMV0XnpDvQ4oQYvsq1wxbvMuoUw5USqD32OUiLc5tzk//2Fk38LRvw/pi8RjpcSYcn/ayXgovrYvECVe+1XBM26h+3qEhzQLqbiMt2xveq8dptju89EnoS1E+MQqXIfZ92LcMyYqVApk2DehOVoqupLbLFUMT2adj3CZcjnMHo5gYuD7Z7PJdqv7eTr0gPBAYpiex0O06/xPjcZkKh+L4uxJcDsSVmwTPiYpi/dgC0Tp8+0eGxVycFuzSIGFPo3ektfekAfLaqZCFsELUBsn4Am82dMvdK2KfxZEXa4l0oP0h4KEiFApmZCyQRkp9f/cXijh0D1Iv7LXm7FZVH/GbaR1ilO8CI9TQLV7OYF3n5hEAnvUun2NeBLv1J8Rr/2nlY1Di4pwQamztCpmQiYxKg8Ng2eo1MI3H24vZoId5YrW5nDy3zxnFTrl3+FDdXG5qXrsOEOs3+FreTl22yTcfw/ifRAyQiansli4Jifgc1K+dIQcsRQBpnTzBTojkuC5qQUaE9LhuYU1kSq1ZQ7TJI59DbFOGLG1aiahiB6NtdpibCbkADbcQmwppcyo1KYvHiddY2Xr1I56PNe+oGT9g2MXvmSnuYrwvUNJ+tHmL9yhZN3heO8BqdRt6jOtxEw5S6C2J5DZiRgo0IyDtL37F+Tixj5FDhTrQzGxEN7wl1oi5PJTEnhOAnP5BvYqpeFt50LcdwoFTtW0fgvSITntDi4jLsFpzH0VK/SvHNsFnwuMS5zMbaXfqEq/UgYv6Mif034viH833G8V6TjNn/5Ctv2L2zf1+BMBfXic3pOTWAbv4+oJRnYtTofuxmSopYlIXDpPfgzEHlrEDKqWKBQNO1cBOnkIZBtU3ag9ok/sy54cvysWOrPRNs8LG2bIm1S0WLo0WJr8NbGJ6AJwP4M2X8PmlA26VmGqGjiBy1uXqC6ne/Htbe78dOuWnwVWIJL9mX4xLQa76wtk/4wwwGVQuxalo/t8ozoS/KwaXEuNovt0jzELuVkKORiHSuW95Fe5u0bWBsVROVj6/JC7FQRp1gvxb41ZTioV4kj+hXYpSZBhBxVbhZ9F1VMa2oqdGakQ29GBrQJuOaUVKmy6XJCwzWT8YaTBEcts5iKs7CLZnfLqjzErMhGtDxT7SJxLI7FiYhYnEa1TJV6v3A54QHvI5LARC1NRfTSNKzj7bGi5LKwQT4b25ZnYe9KgsXxHFpdhiOaZdihkoWwBUlwnHgPRlRgnfGsyfegRzXTofJqT7kHDYK3dsJNhKjfwxt26ThunoZD+pnYx7HtYNLetCyTz5HBMaUibFGSdEzhi5NltSQFoawwUfKysUZybFFLU/h6UjjGVO7bNGxmSt+lUoC9qwoJPhVWi21PTaT3RIQsvQ+/5Snw5OKTtkwBGCuQahZI0IL+8Ge50tNUxdjkS/3ZNrcnbVOaNtk2xbEzQnYyphqnN9TgzOb/AjQB1V9BE4D9ARsVTfpJDtE6pTWI6+I0T+9144cTHfhyex0+DizAOftsvGmUw52ei1P61Thj3IBTBnV4Q7cGR7T/v/beO6yqc90WP+fcffY+O3unmJhmTGKKRmNi7wXF3hAQpSmgICIdpIsKAmIXsADSFNTYe0FpNhCl997rWrDoxZLkjDu+uSAat7uce5/f8/vn8jzvM+cqzPnN9xvveMeYa665SuA5pQDbJpN+J+exuqhjqGXcGJulx/lw52Rtm0pHM430PJUWmgBzG5cPB/E74MNSsGEo2/GgJ5jHahUTOJ2gUiHAVD9NwWzGdK5P/ohA+zCR7Yrs9v4dLPo6BhYqj+Ey5yFcpj+A46TH2DwjG55zCjnB+dg6PRdbplLTkYlcJqTCWYoU5fr4NOn+/K7j0gn4TGydmA2PSYwpWVzyudHi3v7id7BSYPHlI+h9GI8Fb7MVk7lnvpMIFTKtCplMZSCLgmOeJsbENjqezDb+nVtY+nk0bCYlwXHaQ5qHx3CY8ADunHDv2YXwUGGepuVIvxTsOoUFy/05TkiD43juk2NzYrhMTGcOM+DK5zdz6T6B4JqYJY3TdWwmbL9nEX1LCSAYjKDVG3IfuuIE7Q+PoM/tGE4jsKZlwphLoxlks5npMCHQTAg06YN0tk1Jn7Ftii8Lu69mwa8rho907qzsN6Dtt6uAv0Pf7wz8Lch+D7TX41WgiSs3oqW7Pr5ktOshrbjgL8dPexQI3SLDnvUl8NDIhYNKFszGZFDj5GDD6CwYDGX7/PKe9JN9Ol/GQ59h8GUcDIZwOSQOq7+MhT5ttv7gO9D9LBbag+5g1SfRjNvQokPSGBhHrUPdwXY3hxpt+tsPMe2dx5g5IBWz6Nhmf/oYcz9LgepnfG5QMqZ9mozJHz/BpA8fY8LARIx5Lw6j374BFW530ZBYqH0ZA93vEqHNytYkCNW+oNb54gZWfXUL+tQ/a4bGwHBYHNZ+JyKWbSYWRt/chuHXFPpfXKeevALdjy8zrkP7w2hoDKCQp1FQ/TM14J+iMeXP8ZjylwTMeC8BqgSa6vuPMeOjh5g58D4L4y6mvh/H9n4Pk999gLFsk2PoRmd+cA0LB9/GYupBzW8SsGqo+JA+AcsHxWD5ZzegMZgxiPqR66sG34Q2H4tYNfgatD+7jlWfXsOKjxkDr0NzwFWO6SqWv38dSwnmBW9fx2LqwMWfJmCZYFtx7KOSsYbgXDc1EyYiCDRly0yFCSWHKdvmxnni802CdXkWHLRICrriZi6F8DIplW7opzxJW4a9Nko2O+jUd1fufwS0fwa4NwHtWnAbzvk1IcJXjn0OdXAzqMT6RUVQYzUtIUstZGUtGJuOOd8nYc7wh1g08iGWjU6C5thH0JlA2hb3dqAQXT0xiZGINSImPIThpEQYT3kIc8FCagXYvLwItjxoPWqKBZyMae9yst7l5H1AoH2UhTmfpGDOZ4+ks+yzCTgVMtuMT8hsnzzExIE0CmxXo8WtRymGRw2iZqITncUWpTIqCTN/SIDK9zQKP3BCx1P4T74Pval0z9MSWeFJbCHJrO5HnIT7bCn32Vruwnj6fVjOeQzX5Xnw1C6Bw6IciuqHWPx5DKa+dR0T/kjx/5d4TGVxqHDfs8m6M0WQ1aZ/eA9TqBOnkNGmvnsf496+ixHvxGD4gGh8P5D/9wWLaOhjTCcYpg+jtvv2NmYOpRkZEYOFI+OwfPQ9rBz/ADrjaaDGccn2q0vTojs2gQx1D0aTHsB0WhJs57B1LsnEJtVMrB4ZD/Uhd7CQx75wcDzUhvI4eeyGZEOTSRlYTxOwnkATrLaOJmD9rDSY0ahY0BlbUZ9JpzWkOzsWwMOoSDp3JtqmYLR+bRbgWI0jLq8A7e+1zn8ENOnKjj4zoARaO26Ft+NKoEL6nQE/spmNYTlWLczD8nk50FQvxOrVFTA1boTVBjk2mcvhYiPDtk1y+Dg1YZcbgekuR4CHAoGerQjyakaIdzMidjQjcmczTu9V4KJfC64eIqOGdSAmvBWXD9Yg0ovuxiwPTmp5WPYt2WHgPah8mIJ5n6ZLjDZnMFltMBluUAaZ7QmmDHqAcR8nYjxb2rQf07BAJRuaS/NgqFeKDcZVsDGvg7N1Ldxt6+BhV4edTg3Y59oAv80NOLS1AcHbGxHmI8OxHY2I9G3AT7vpsvfKcD6gGVeCmBOaothjTbh2qAYntlcgwKIUbgSf1tB4TCOLTKYgn/HBfYKN5oQtU+V9gmfgI0wm4CbSRIwl441mi59CPTWbk622oAB6WuUwWVMNq/U12LSxBi7mVXCzrobnpjrscKzHHudGBGyWIXCr+BGRJoR6yBHuxTF6y3BqVyMu7Jfj+uFmxIUqEBsqx5UD1Yh0L8X+9TnYppUNo7H3sfybGKwY+QBGE8lolDjrplCTUaOZTCezsXWa0m1unJsBS+oz26VZ2MQuJdym+5oCbDcupgkoVbKZ9Uttdsi5BoFufT913Q+03wPuXwGaYDWlRlO6TkYYgRakQJBvK9auKcXCRRnQ1yvHxg31sDCvxQaG6UYGE2VhzaQ51MPVRYatTJKHewO8OJG+2xqw16MeAT6NCNwpQ8hegm2/AlEE7xmC7Bo1YPzpNqTf6kDxw16UPXqB3JheXPavwz7TfGxUScH8QYlktVTM+TSTrTOVQHtCVsvCjEHpmPh5EiZQ181VLYT+6nJYWlbDzqoK9hbVsOX4bDiRjubVcKFF32xZCQ/bavg41MLXsRa7natxYHMNAVeDIM8ahHnVIsKnFpG7GnDWvxnXjipw/0wbcmK6UJ70FOUPn6PgzlNcDaiDv0UBzMmI8wbGkn3vS9pspjAEBNsMgm3q+/cxlkAb9xXHPi0LK7VLsd60EmZmNTA1q8d6KapgZl4JK6tKbCJjuDrWYJtrPbyZu13uddiztRb7GAe31yHYpwHhOxtxYp8MZw824SrnJZZd6MmNNhTd70EFx1Z4uxe3DpN5zDOlT060x9yHPjvLWgJNuE5xWsOYRkAJtDQCjSaNbdOO+syR+myzLrWzEQ3P+iLs3CiAJthMqc0Emx12rUbwlt9+U72ZYGpGrAQwsVRIyxhpKfSYkuX6b/iiDOUl3tKXVsSJ2+OikttxJ7wHx+k415JK52vmY61pPdZtqMYK41IsWp2PhQZkHdNiqG8sgg4Hs9alDhvcyXCsQrvtZDlPGRy31cOJE+nmWQcvXxl2sgXv8G6AD8Hn4VKFrfal2GZNqrYrxAGXUpzYU4+U6C5Up/2M1EsKBPM5c7Ko6qBHmPVJGsGWTr2WSpBlYMrnaZj8YzrUlhVh/YY6WBJMa/TyobYwFYtVk8i86dBanIfVtO1G6plYr5mJDVqpsNTJhI1uLjbp58LRIAuuhjQAJhT/ghHWZcHLNBc7zfOw3yobB22zOIYshGzJwbl9Fci51YnaxxzbxVZEulbCfkEOVD+Jw9QB8dRrBBo12ZQB9zCeOm38t0lYsiQHxmaVMDavwEpqnznLM6DCiV2oX4JFfKxhWgY9Mq6xYwNMnetg4VoHG7KGPSd1k1s1nNyrsXUrwefRiB1bZfB2bcR2FokHAbCVYPe2LcA+p2JE7q7G40sdqHnyAlnXWxDsSievTT02OREG42gIJqfSebJlEmRmEpulwmpROkGWAQeNLLisonNdnUc2y8WOjYUEWTH2W5MlbUvg51CGQy6VCHKvIrv2/3LKKRmiT4ibJctw56RY9q2fkDNeXoumBNZrjNb37ShxefedyDZcDn0GC4tyLNLKwzqbBqwwKYMqre9sszIs2yTDSobhFrLdtjYYb2+DmU8LzH2aYO2rgMPeFrgdaMGW/S3YShbbsqcJ3vsU8CarebFV7fBtxg6vJuzcxha7rZWtTIE9mxqx07IePlYluBTcgLr0X5AR0479znkwmvUEsz5NxOyP0wi4VEwblIIJ36VhmfhVEQvx5WWOcxFZbkoilqhmQG8JC2NhMcyWFcNSqwgOOoVw1M6Hoz6TSufssjYVnhvT4WORAe+NKdhpnYq9dhk4YJ8DP7s8BDqX4LhHKS7uKsUNvyLc8C/DmR2lOLIpFdcPVqE6+Rnyb3fj8KYySfNMHXCLeo2a7J2HmCB02ZBEzCcIzSxqoWtQAFWNNMxmESxaXw11iwasdm7GWrcmrHOVw9RdAXMWpqVXA+x3yOHEHLmyRbrvlmELW/k2rnuytfswX97bmuG7pQV7mPcDm9tw0LUNBzY1scVRFpgX46xfI0qSniMvoROBjjzepTlYSwduMClZCTSaATPVFJjPT4HtsnQ4a9Hx6uSRzbKxfV0ufM0LuK0i7LUtYh6K4b+phCArw5HNZWzjZWT9vm9BibtyR0fVMxoInAZp/TbBdptgE1fXiqtqxXcFRJt8eVsrcUdI6jMynXTnR/EdghOd2MkqmqeWDQPzZqgblWP22gIsseK6fQtWubXDcGsrDN3bsGZzh7RuzESYM0k2e5rh5K/AZlL8Vi63+TXDY38TvAg0HwE4gsyHoPT1bMeebZ045NWLY7uf42zAzzi1/zn2OzVj2/pSHNtZi8rsn5FwlZVsk4MlIyi0P6Lr/PQJJnz+CDNU8rFuYyu0VldhMtvTlPFpWDSnCEvnFkNDpQgak0uwYkYplk0vwOLJT7BCJRFWBmnwdMojwDNxcFc6gvZyuSMdh3yycMQnFwHbCrHFjLZf/THWL0nHFoNi7LEoRviWCkQHNSImsBaHbVNxZk8JSh++wPWgJthTEy77KhUT6JgnvnMXY+k+Z3A8RpQY2oZFmKmWgVlryrDUlo+dW7CaOVvtJsNa6t51W+Qw3iqHGfWXBQtw0+4mOFO/bt7H4qTE2LKPOdwrh8duObx3MH9ezBsLc8/WDhz06KbmfYoz+3/G6d3PcMS5CdvXl1ELVyH/wXPEhLbCmWxuPFUA7RFZLY1mgMc2+zEsFqbAZmkqW2Ym3MhmW1dnw5tsttuyiEArZMsswAHbQhx0LMERtzIEbSnDUY8yhPv0fwR1Stk675xs4lKE8rGydSq/nKJsndRrJ9oZFOIEWow4j8bXpZsmR3XhTEg39NbkY5lOBdRX12C2uFeETSPUXVqh694DbbdurHJtlRKn5dQCfY9WbCR7OQS2wi2kHVuo7zwo8L1C2uAd3AofulffI+3w9W+BNxnOg8y3dYsCbvbNcLWSs32S3ZxacdizE1H7fsEB1xY4r8vHycB6lOf/N0L9Ke5pwadS+E+hCRhNcb1Muw4r9KoxcUYGRo1Ow/zp5Zj4YwUGfZqNjwak4sMBmXhvQBYGDkyEKlupq1s+QsMrceVaI+IS5HiQWIvEpHokilvT329CQmwDrl2qRXhgOdzIanPFj1D85QGGvJWGUR+mQm30EwQ6lSE+rBZ+1jk47l2LWyFd8NSthO6P+WyZCRjzbixGf5cMdd0qrDaqxfgFaZjJIl22SQEtFwXzpcBKB647yLHSsZF5bIAB2Wwjc2IX0Abnwx1wD+yAB2O7CObM61A7dgR0YMfeDnh7t8FzqwIejk1wZ962WjZhB3N4iIUf6fMcBx24DWqtMC+SzdFuuGqyG02g0yTIjBhrp6RSoyXTcT6hEUiBPYvAZWUOgZZLoOVjl0URdlsVYx8B529XgsNO5TQAFQjeyrbpWY3jO+r7zUBbnwkQZkCsKyPuJ2EE+l2oAJp4j3hOsJkSaAKE0vrJpzi0rwOzluVgpUkTpqoXQMW0GmrO7dD06II6Qabu1AENhqZzK/TITBZHnsP95At4n+nFzrPd2MPYf64X/md7cfBMDw6d5jZPMCJ64BfUjd3+TJ5vG7a5t8KJILM2lsHaiNVswhbq1I5je3/Bdps6OJnkIzmhG3djWuBoloVpn1NkD35McFHf6NeTydIxbHg6xo8uxg8/VOPP7+TiP97LwX8MzMO/vZeFP7/PSV9RgAiyeML9FulWnfmFCpSIe2tUtqCyuhXVVZ2oqmpHeXkLiovEfWtbEBdNp3dYDp1lpfia2/rq/UoMfacAEz5K5CSUIsC6Cpv1ChHlI4e/lYyTmId5XyThhw/iMZYTqmdaw26Qjx+XF2KuVQM7QCfz1YzldOXq9q2MNmg5tsLIqw1WAV1wCu3EluPd8DrZi12nerCP4XeyG/4nuhAQ2YVD4cxjUA8OMG97drdipydlCQFma9oIG6N6OK+l27doJQM9xRa9RjhRLoTR9e8xrofJhAKsm0g3KsBGoBnPSKEZSCHQ0gi0bLiuKsA26sUdNAG7zEuwhyZgv3U5AuwrEehSjaPuNEoeddIvHJ6gUeoDmgCK0l2K9Vfj90ATDKcEm2QCBLsRbDE0BzeiurF5cz3mr6rCfL06TNQuwgJHObTce7HS7RnUHbuguakNK5goHU8m6mgvtl36Gbtu/Ay/G89x6PpTHL3+HOGMSEYU48SV5zh5kXH2GaJO8LXQXgQGdMLPtwM+rEbHjXJYrGmA5WoZXAg6P/fn8NvWDXvDYhw7WI+MJ8+x1S4Xi8cmY8QXZCi1aukng8RtEb78KgsjRlTjj+8X498HFOEPnxThPwaX4D8/zcAcuqqTZ9qRnKJAQX6rdKvQmvpG1MvFLVA7++5OKaIdLS18LKfYr6aTy2tCUkIDIo82Y9H0fAz7qBTff1iFEW+TuQY+wjZdTvDSfATQwYaShS2XVmLeV8kY+el9TJ+fh+X6xfheJRkzTetYlG1krw6oUXIss1dAbVMLNJk7w+1d2HT4KbYdf4odPz3F3nPP4H/hGQIZoRd6cZxx4sJTRJ7vQtTpXubtKSLCOxF8uAVH9rXRzbfBzVoBa8NGWOvL4LCmCR7GrdRbCmycT9dIZ3vIqgXrJ+fDcCxb+aTUPkZLxQbVNAItA5vYWt20C6X7auyi9t5jUYp9VmXws63AITrNYHH1CJ1vxPZ6RPrW4+Tu34D2+9Mbr8fvgfaS3W6zcmKo1+L4/DW2z010hItX12O6Ri1Ga2VDixpMZ+tzrHTpkdhMkxS90rkN6w90Y9vFF9hz+ykCYp7jaMzPCL/9AlGM07ee4Tzj8q3nuB79AjduPse1K3xMsJ070YOTYR0I8WuHn1c7tnESbI0INvEziwZyeFp1IMDzBZzYfrZTMyTf64GPQx7Wq+Vh2DcPsZAgU1lcjuFj0vHFN7n4bEg1QVaKf/8wX7rz47vDONHTc7H3cBPuJ7cir6AJVRUEV0Mz5E1y5e3VFR3SPWE72trQ3taOdnELeHFr+qZu1NV3oLCoGXdja+HjUoOJX2WyfZZh9IByjPwTHeysMmxcIC51rsDxPc9ho1UN1S9TMPWHbMzTLKX4z8cXUx5hkR1bpGsnVrAwNWw7sNyuBeoOzdB2b4bVwR5siXoG37M98GcRBl9+gTDmJ/ISddflXly60ovr157h6tWnuHz+GS6eYT5P9uBUWCeOH+rC0V1kNxfRBRphq98AO30aidVyOKxqhuWiWjJbFfwtmmE6hWw2IVcCmtGUJxKjbZiTRteZCQf1XLjrFsF7HZmMzngv2Vq4zYObKshmVQih641gy4wim52kMTm1R6YEmmiR/aB6df31EGzW7zYlBpS0Wod0WuQaNZqNcz2BVoNxS8sxxbAQ+l4dBNoLaLn2sAW0Q8OBwHMnE4U/hV/0fyMo9meExZHBYp/jp9vPcOZWL87f6MU1slnMrV/xMO4XJMY+Q8KNp7jFir125ikuRXbjVGAXQnZ1MmGtcDFpgY2+AnZ6criZNGO/23M46jXAVS+X/8d2sq0UZtQcPwxPxjLdBkyZW4jx08vw9YhifPhZBf4XgfZvH5HNBhXim2llWG1aiZu3epCT1YzyMhka6sTvHxBoshaCqQviNxCe9TzH86fi1vQ96GzvIuB60cJoUnSirq4V+VlyXDzehKWTszCGTDn+g3KMfqsA6j+WwGpJFTwN63B4axtcWSBzv06DyuQiLNYpg4paFr6bm4+ldm3QpjNUp0ZTt2vFcttWdoJmrPMhG7Ed7jj7FPsvP0PQlReIIKBOEmBnL/Xi8sVnuM0ucO/mL7gb/Stirj7HjXM9uPZTL65E9uB8MAt1XxeCqY09N9JErG7EJgLNQU8Gx5VNsF3CvKnXYie7gxkZef2UUhhPTGf7fCQBzWxOOoGWBUeNPGzVZ9s0IZuZV0ps5m9XjiNOVTi6uRrh22oQ6V2HUzsb8NOeRvy09xWg/SOA9YeyZfaDje+XwMYWSwBeoVYwtSGjranF2CUlmG1KYevTDV2J0XqxgkAT+sKATLSd7BR67xdE3WNbjO/FmTtKFrtwjRXJyrx6mgk69QL3mMwnBGIiWS+Wz8fw/6KpR66EsEL3deMwtdo20xbY6zbDUbsJroZN2OfwDA5a9XDRykPMhW74ba+C3vwMjPkhBeoGTRg3Iwcjxxfhm+9LMeDTQgKthIxWij9+Xoyx82rg5iFD0v0eFOWLW1M1SUBr7LuPf7P40QhZL+4n1CAtpVG663V35zO0EWRt7Z1oaW0lIDukG+ElXFHARI0gG1SAidRq4/5SgvlfFXKiKujYKuBrXUd32kygpWLGJBoo/QqoLM/EePUKLCOwdN1aoSGAxpa53E6BVS6UGzzmHSee4SABdfSqAJmQF89w9mI3Lp5nEFCXjvfi1k/PcPfqr7h37QXunO/FbbbY6BNkutAeXPDrRqQXi9SyGS761GW6MjjrNFJzNcN+YQPs51XAm3LEXKUExhOKaArEidtHWCeANi8d1ksy4bwiFx4GRfClW91rUY79NuVks0oEudZILfP4duqyHQ0Sk53er4z/MdBegk20UD4nnCiXl491wcC8FEsMGzB+WTnmbmyEvmcvdLc8Zbuk23TqxCqHdpgQfPsu/Yozj37FlcQXuHqXEfMLrt/6BddYnZfIWlFHnuIwBW+kfwfimbCHMf+Ne6zUBL4WS8EbTXd7cX8XwsgKPhsIMj22glVN2KxPoNk8JbU3wH1FEZPbjoDttVCfmoxxo1KhYaTAWLbGb0fk4JvhZXiH7fI/3y/AHz4swltDcjFxURm8d1QiK6kdVcWtqK9SQFanILhEtEpsFh/TCF3NOFiuT0JRYRd6e35Ge2tP323WW9hexd0W25F0pwXmmoWY9EkeJr1figl/LYQqQWcxvwJ2S4vgY1aNLdRHc756gqniV0pWV2DmskxM167EUmooXbpzATI16jN1tk49l3Y4+T/DobMvcOL6zzjDOHvtOS5ces4W2Y3Lp7twksLf36MJgb4yXDveg7uXXiCBGi7u1FPER/UgJqwb16lxz3gzL3Se7jRGLnThrqvqsUWrGZvm1cFmZjF8aQxsVMthODqP7fMJjKYlw0TlCczFfUWWZcFVOw/bjYqxc0MpGa2U2qyfzei+aQCi6DJP7lIy2ZkDcil+B7R/BrbfA02B25JWE8zWiosEmo5pIZZSM01eXo25ps3SKQ19Ak3buYcg68AqewKNDnTf6V9x6QEQkwjE3/tvxMUyon9GHKvzCvXHQW+6Kasm7KXGu37yZyRe+xkPLz7FfbrQuzQd8WwB19kCTmxrx24CzZUi23WVjPpCxgrrgrNaHbZqFOF6WAsCeOBLxj7EBPHDDAJoU3LxJdvVtwTa2x+V4E8DC/DnT/Pw3rdZmLqkCB6e5ci634uGgh60VjFqqckaOqXbztdV9WKPdwHmq2RiqWoiEh/I0SNuTU/d1qboQouiHXJFC+pq2pESTwbSKsSUT3Iw9YMCTHm7ALM+JNDmVMBSNY9sUIdt1EbzhjzCxDFPoLaGQFuaDRXdKgloemQwdTLZcrtmaLKV6jq2w3lfL4JP/4Lz1/4bV68DNwm2W5d/xa1zL3CZeTvi2wN3Szm8HRtx+nAnYtkZEgS7RTJ3xwi8o9TUAR24TKAFMr8eevXYTKC5r+RYtORwnFML+2nF2EWWs59biTUjs2Aw/hGMyGjrZ4lTG2nYpJ7JPOexbRZj98YSyU0ftK8gm1UjbFstjrFlRu2qx6m9jThDJjvrJ8c5/6Z/zQz0x+uMdkditHZWTCsuRHRh5bp8qK1twuRlVVBdp6DOeIo1W8lqTgSaXSd0GYY0Ba5sAUEnX+DMeQLuApntHBmNlXotiu3U/zk82WJdrFtwgIC7cfIZQdaLhxS/D09xnZV6P7AXd3Z34+wWOlBTBbbo1jNZDdimI8M+s3a4Lq2Bh1ohrgU14dA2Am30fUwakwxNAxnGTc7F4M8fY+h3JXjnwxK89XER3v2yEB8PL8D0pdXQNyhGAEXsdWqs+PPNeHSzBZn3upCZ2IGzEdUw0EzHikXFsN2QiexMBfUZAUb3qfwJIeq55jbU1bYj4z61qE4RZn6SjekDijGVjDZrQAGsZ1fBakYufNfVw4Ota8GQJAItCcsNKjFjST6mr6zCMksyGE2TBoGmbtsCLRaojn0rNpLBvQ8yd9S4kcef40wkJcdxAi/8V0Qwb950qq7mCuwkSM8e7uEcPUUCmezBsWdI5P88DO5Ggl8HbhBoIRZN2K7D9r2KRalVB0+tJjgRaM7Ui/uYR8e5FVgzPB0G4xJhSIMiAW1RGhw1s9g287HTlEAzL8YBts3DjpVKbcbuEbmTBmBPPX7a10AmkxFkcpwPeI3R3gSuV+NvgMal0gy04zwZbYUxgbauGRPp7GYbtUDH7QWB1gMdB7IdQaZn1wV9uw4YO7bBzr0DWzx64LW9AztpGvZt78Zu9y54bmqFq20Tdnp04kTQU0lf3Kc2S6L+eMSqTQ7txiM6r7s7e3CRgvkQge3JZHmsaMD2lTL4mbTDfVENvJYV4dpBtpGtDVg08h6mjn0ELVr68ZNyMeTzJxj+XREGsHX+9bNivPtVET4dIc7GN0CNyV9O86ApbiO1IgMG2jkwXVMAY5qLleK264vzYWVM/XezGY21ndRtCigINPHLJMIsyGTtZLQ2ZN3tlO54tGBQHma/V4IZfy3BrHdyYTOjEpZTMuFrWA9PssnirxIxeXwS1A2rMGV+PsYsKsVyy07oC5cu2MymFStpCHTIamsINjPmzoH6bfNmBba7t8B3Szt8abC2sc26mMuwg0UavpvG6egLxNI43Y/swiMC7XEIc3ekGw/3deKOZzvCzJrgu6qBAGOsqIP3CjmcZ1bBZWw+/LVlcJlPRhuWIgHNiNJDnEOzXpIunajdvraQbZOO06IEAfZVCHKplbTZMZ96nNhNAyCBrFEC2YWDyvgd0P4Z4PqBpgRbH9AiaQbYPi8QaCuNC6BBJpuwsAyzDVpJ/z/DgO1Td1MXdG0JMutuRicMbDpgYtMFM6seWFh1wMayFQ4WHXDc2Ao3KxkOMBE/HXmOW1G9SDjVhUQag8dRz/EkohcpQV14cqATD326cInJPbhGBm+ymY8mWwbp/4BRG7bOr8GOxcW4tl+OQDdO5oi7mDE+GdpktImT8/D1F6kYMYxA+zAbfx1cSKAVYvD3+RTjNVBb3YDlejVYrl0LTW53lVYttDVroKdRBx31YtiZ5SP6qrhPbLd08+ZmmgSFuI+/CBmBVsfWKczAqSaYssVqfF2G+WS02X8twuy3s2A9rRIWEzOwczVZhNpo2TfJmDIhCRprqzBxTi5GzKI7taKJcuyEpm0ztAi0VTYt0OZSz7oDhpbdMLHohJl5K6ws2mDLsDNTMHdN8HZoQfgu6twjL3A77Dnuck6SGKlhvUgPYu6oz5L3dODO5jaErm3AbpomHxaot2YtfKlrnaaWwm10Lg7pyLF5AYH2bTLWjBVAe4QNqimwXZqJzTr58DEW589KsN+6jGxWg5DNddI5syi6zJN7Gij+G6XPT88HNOHiIcbhvtYZ95M4raE8tfGPgNYf/efUYqOUl53EEHCSRltXjBVktEl0VnPWtGO10wusdesli7FCrbuwxqIbBhY9MGIiTailNpj1YuPGblht6MCmDZ2k/VYcoO46H/ScAP6ZtM9Wyap8cvwp0iOeIe0oE8bWkbGHQGMbOW3WjP1Mii8B5qvJCmVV+q1pgedcWvT5pbhMQRrIalMfcR+zJqQSaA2YNCkPX32RghHfluC9gbl4e3A+3h+Shy9H5GKuWg006bi09GugrVMLHWqV1briPruNbJnVcNhYiLjrHago7kV1eROBRpNA/dbU9xOLjVyXVbahOqUTB6yyYTanDNo/lGHhADLbX/Ix568ZsJpSBfPRmdhFMHutbIT6148xY0IyVqwtxxTVLPygUojlVu3QZhtcYaOAlhVBZkUXatWG1ZbtMGRBGm/sgBklguXGdlhzaU897EW2iyDIrgS+QPRRatnwXiQxUkJ7kcG8ZR3uRuaBDjze0Y4r3G4gmXuvZgN2atYTZDXYRTZ3m1SKLTQAh+jgt8yrgtE3STAY8wiG0x5JHz+JTwS2ri6kviylPhMmoBKBdJphnmyZ0olZGoB9AmTi2jw5QcY4Iifwf2O03wPt92AT678P5acDBJgAWaRon224SI2mt7YYWmubMXVhOeavaYMBgWbs2os1NgQdE2Rg3gmjjT1MVBdMN3TBfEMPLDd0w54gcybYdtOZnj/yM+JPPscD2vEk6pAnBFhGWA+yg7uQQ5Dl7X+KDO9eRFO7hNI17WNF7lrRiF0aDCbukD5bimodds4twyXvRgQ5VGMlgTZvQhp0yCJTJuTg28GPMfKbYrz/fg7e/SwfA7/KxVcj8jBfvRZaa+qxSp9aTa8aa/QasFZPDsOVcmzULcNlFldF/lPpBsm1lXI01Mkgr2tltKFZRFUrmgp72bJrYD0vHTYLuI3RJVj6QSaWvZeL+X9Ng/WkSpiPTMdunSp4raiH5pDHmEW21TIsw9TZmRgzqxDq1Gi6ZKdV1s3QFutk/NVkLgPG2o1tWG/WBnPTdthsaIedaSu2EoyhzMk1MlksQXWP8uJJSA8L8ykyaZxyCLJcP8auHtxzakWUYQMOUpft02zEbo1a7KJ527uMTn1CGbb9mI/DlCBbaFrWfp0EQ2pbw+nJMBf37FiRA0/DIvhSn+2zLMMhRzrNLeJjJrZMGoCfhAGgwxQgE+3yEpnscqAyXgPam8D2D4DGlikuERInbi9GdGP1uhKyWjNmsnUuNezAWqfnMHHpgQEr1JDVt9aM1UiAbTDtgfn6Hlit74KdSSec1rfDg2wWuYt0H/UrHv3UhRS6S8FimaFPkRPUjfxDnSii08z36cV9tuKTBnIc4kQdYEvby6rcR+rfy/VDunL4zGIrUCnFJQ8ZjtpXQ3v4AywYl0rw1GL6+CzpR/x//LoI77+biwGD8vHhkFy60HwsWl4HbQJNV78WhnzvOroyE+1GGK+owV6nahQkd6Mqvxk1peIXUlrQUC2HjO1TUd0MRXkzWvK7yST1cFR7Apt5JXBZUgvjUUXQ+CgXWh8VYNHbT2A9vgJW36djj1YFfAhszS+TMXtcMlYRaNNnZ2AcgaZFBtMn0LQt6dyZF31z5o8h5Y8AM2O+rJg3exMaK7ruAJcOXAv4ma7yKZLYJlNCe5AZ2I2cIz3IC+hGIZksd2cXHrt24vJaGYJXVuMg26XI3T71KuxVq8CBpbXwGF8Crx/yEaQpg8fschgNeQiD0UlYNzMZVgtTpdMa3uxau8yK4WcvPjivoQFowAlfcfafTpcuU6nLRLuUE2ByXKEhuxqsUAJNXK0q4nWgicf9zPYSeATZbx9FKa+wFc7zYngXDNm7dY2aMHtBKTSNmBSH5zCl4zSy7MA6UrzJ+laYmnYoQWbcA+t1bJlr2+G2tgX7bFtx4/AvSD31K9JP9CDrGCuQlZkfSHCxGgv2ks28KGw3teG8oRxBWo3wJ5v5i4Qx/JbXwl+jBkfYjnZMr4I33dNFdxmCbCqlL3QsHPMEBrrVmDE2A8MGJWHUkAJ8+E42Bn5agE++zMMwAm2JWi30qNHWEGBr6WTXM0xX1cB8ZQmrU47KtHbUFyrQUNrMFtkKWUUL5GXUacUKyNK7EB1QC6fFybBQzYDj0gq4La2EyegsrBqUBf0virD47UTYjCmF9Yg07NEoww62LM3PH0lA0zYqw0z+36Q5xVhFBjMQn6JYKKBL/bXarBVGZDFjU7KZSSssjKnLCDTHdW3wojY75UXRH/QLWYzsH/oMWcEszkPMnX83ivd2oWBHB5JdWnDZuAER1IVHWJgH1evhr17HvFXBT60KAYtr4TWuBD7f5yKIr3mwUI2+vMfW+QDGs5JgtywNW/Tz4GNSiL1WxTjoXIEQjzrpUnbxWeZpqWUKNlNqsksSyJoJMuVVx/8AaEqGiz3V8luIS4ZiTykvHYoRS+m2o+KCyBZciujEuvUl0KObWkD7r21Eh+TQCwunbqy3bCPIFNhgrIAFE2Vl3AnbtT1wIMhcKd49DVsQ5tSOxJBfkHfqF+RHvkABmSz/SAdB1oZ8VmPmtm48IBgvrKlD6IpaHCHQAuiWDq6oRoBmFQ6THQ6qV7Ba6+A7vRw+kwpx0Y0ajYJVZ1i89MH6Wr1KqI5Lwxi2q4nfFuBT8Zvnn2Rj0BfZGDE8F+oEmqF+I4zIZia6NdhINjNji7HWKsTjsx2oSyfQClogKyWwSuRoLGxEQ24TqhK7cHFHJRzmP4atai6clhbCRa0U7mpl2DA2G7pfpFPv5ELtvQewGV0AezLafk1Oqlq5dJfKeRMeQW9dGebMzcCMucyduQJG9i1kshas3sB10xaYsEWasVAtjFtht7YNTms74GakgB9ZL3r3U7bJn5Etchb8DPmHe8lknSzOdhTQ0ac4KXDVmFpKpwJHVlQRaLU4zJZ5WKMKh9TLcXh5JQ4vqYLP2ALsGJ6BoywAb9USmHxzF4Zj78FY9QHbZjo8jQrgS516YFMJgrdUSy1TeSpDtEzldyYEm106omyXAmTXQ5pxI/Q3oLVKQPs92JRAiztNcP3UJEXMKTnERZLigkjlshHRkeLiSBkuhbdQdxXDYF0dNNVLCLoW2Dl0wsG5CxasTEtTOWzXN2ETn7cnwBwNu7DZsA3bVrdh9+oWnCOtZ4f/gnLqswqK/9Kgpyj270HRzk7k0cI/pA45r9+AUCbpiGYdGY3spUWArWTiVlUiSCRwRQnCCJD9quXwnZKLi5tZvZYFWDMyHpqTHsNsTTkWTUrFNNr2Wd8X4duP0vEt9dk332bjxxGZ0FxWpWyXZL6N2jWwouu0JJg3rcxDzgUKfTJaXR61WSFbZkETGrIbUflQjqt7a2A7+yGBlg1XtQJsUc+Hp2YRvDRLYTUpHwbfZMB0eDZWfvoQ9uPz4TQ6Hf6rqHU0iqDz9T0snvwQa1mkakuysWBxGYysCSzbJhiaNcHIRA4TkyZsNG6GJR29rVEzHA1a4LamFR5rmhFipUDSflGYL1AcwpyxZZb4U2YQZLnezUh2asB1gixKuwpBK8uYq1Ic5TJYq5Q5LEYwcxasUYrAZRT4U/Kx58dMhGpUYsfcQulLxeun3IPF4kc0ATnwJpvtsSnGEbdKRHgJXaY8laEU/8JhKggy8QUdJZNdD1FIIPsNaHGnW14B2isg6wcarfqdk+Ky7pcAE1fi3jpej1uR4opcGS6GttBFFsFoHd2aehnMTdrgaN8BZ7Y6a1MZ9YQMzkyYCxPmTHBt1u/ENv1W+Oi0wk+PA3NsZ6J+RcPJF2iM7EVdYA+q9/eibAfbKB1YtGEjjrMKBa2LagxeUYkQrUomTLBYOZ8vw1EmLUKnEgFzSrFzUibOO5PlNuTAYPgtaE9Jgo1hJTSmpEFlKAX4tzkYNTibpiAPw4dmY/TwLGgtqoQp3ab4HU2rVbXYRPtvx3bstCILZVd60ZXRjdaiZjTlNaEpuwnydDnyr8qxX/yAhgqt/7I8bNUogKc6tYx6AXw0imE7KQvrhqbCbEQWdAYRaGNy4To6DQdXFdK8FENnSByWTkqAMSdRSy2HrFqJ9XSF661lLNYGmKyTYSN1rzVNlp0EsmZsJsC2rVZgJ41PpEULMvb/gprwX1Ef9px560YNNVmVL6XHFs6dRTVO6VYglEUZvII5WlmMUEqBMIIsRLOQ3YFLjRIcXVqCfdPysW90NkLYGbzn5MHk2xhsmHYf9hop8DLOhy/n19+hHKEetYgS3/7a03++jPN/qLkPZAqpVV472oKbYZRDxMVLoL0KrDeGOJ0hWmTfFbinlOvi8u5bBNltLi+F0gltKILh6hqsWliK9TpkLxoAVwpbu7VNsF8jg6O+DK76cmzRaYHnqg74rCKbrWpFgDYp16IVBQd+hSziv9Ec8gJNAc9Qv6cXFZ7dSGOFX1pVhwi1GhylFgumSwqhiA1bzgSyPYWIWMoksl1FsBoDphdh97gMnLOjfludC53Bl7By1F3YUeQvH5eCqZ89wvTPszDyowx8NTAV3wxKx7ihudCdXwtL7sdaux72XDpTAzpoVMNZIwdZkR14nvYzurN60EE9pkhth+JJOzIpG9xmp8F5VoF0l23PZWSzJfnwYvv0WVIIq1GpMKQO20BW0/kgEdbfZcNxaDL2L83HDk6u5oe3sGR8HAyNCqGxIAuaS6jrNsqwwVKO9dRUZkYyWLJF2hso4EyAbSbAPPWb4aOnwF7mOJLFm+b9Ag2BQHPwz5AHPEXD7h7UePUiizrv2poqHCOzhhI8IcvLmLMShC4v5rIY4WoEmlo+ghfn4+jCIuylft01LA2BnL+t4rucX8bCeNJ9OGimwtM4F3ttShHsXiNdMSt0mfiIqV/8C4cpmEyATNkuBdDaJLDdDGv5V4H2Mn6v2WgGpEu5W3A1jLrLrAyGOjXQUinG2iV1cDLugDtNgOMaBZzoBl21m7BVW4Htq1qwQ0uB3SvJBisVOMz1KL0m3KUGK6DgL/fpIsB6UOrWhWybNtxdQ6FJcB1bWo2wZQyK7PAl5YhgmwlfVI6QRUwgnW7YohIc52v7x+ZjJ3XQOfM6HBC/6zTwKlYOvwcHnXpo/JiKGR8+wazBORj7SRa+GpCCYZ+kY/K3eTCYWwM7ajz7lfVksTq40ZW5qlfCZVkh9ulk4ZRDJmL9qvE4ohEJgVU46ZKJXSuT4TI9G1tVi+G5sAAeC3LhtZAgWlgI3wVFsPwuFQYfJWPdp6nQeus+LL/IhMOXj7B7Ht8zrwwa79wk+O/CaHUhNOdkQHtRNQu2GRbmTbBY1wgrQxls1zTBieByJ/N76DZjBwG2h8Xpt7IJoTrsLhtbkLWlA6XeHSjz7ECxWzuybRVIMKrGObbFCLbF8GUVUs6OM2fHFxfj2MJiRHC8oRxvyIJ8hMyhyP8hAz5fPMHh2SVwm5AGky/jYTLlIVx0cyVtdsi5ChHCZUotU8lkSk1GJgvsB1l/u+wDGiXVzfA3MFp/C33ZSl8HmlgqHagA2h3p5C0rh0Bzt6mBCfWSzkxqtZllcFvdAa/1fF63BVtWMUkElNeKFuxcoaDraqJbbKSYb8JRTQVOrJTh1toGpNg3Ide5DXkOHcim+3q0To5oiv/Ti6uYIIJNWlYgkuCKXMCkLaxgwsoQMY8JnV+CKD7ePyIPvkPTcGZ9LfYsZev8+Db0Rz7AZhaB7phMzP0wBfMJtOlfFmHoeyn4/mOKcHHH8Fk1rN4aOFMHbmaL3rasHlvoyFwX5WG7WiqiHPMQf7QO9yOqkHC0EsccCuE85wGcZ6bDY24BvOeTxeZTUHPi9ixiEGg2HMe6gU+w9v0U6Lz1EJYEtdMXKdityveqkNHevgX9qSlYv6YM2vNzoDunAnbG1LFmbJWUCw5rGuCs1wh3HRm2a8uxg8W5V0sGvxVyHNQUmrUel6hd75s3IMNRhmxHBTKp2x6ZNOA2xf85snyUBK5yKWcnFpbg5AIRxYhaUIBjC/IQTtBHzC7GAbb3HZ8+wcFpxWzvqbAa+gCWqk+wdS0NgD2ZULTMneKkrAxn/Rtx4VCjJPyVzlIp/PvF/63wVimiI1oQfewNjPY60Prj5XuUOk55qkOwGoHGuHlMXIjYiI3USQYEmvaoDLitkGEvHaa3dgu8NZuwg6DaTYDtV2+G//Jmuh05gpbLcExDhpuGTUi170T+ZgrZze0ocupErnUrUjeQ6Zjoi2ybJxdV4IQU5ThJej+xgEmczyQSYBHzinCcCYuaW4oDQ3Pg89VjnDCi+5ydCpPBsTAa/YBgr4DR2Ews+ygFSz7PxqJhVfj+nVSMGZiB2V/kYd20SrhSk21mW95KJ7ZdrQJbOUE7VubgARNaGt2BwjhxH9saFMQ0IOcak+lXx5Z5H1tmc58E2k5O3i5O3r6Fedi/oBB236Zg7YBHWPPXROi99QAWBLkzWWOXagG2T83Dqg9uwXReFjasLsXqBTnQnpyHTfpNcKfLdF3dCDfqxS3atdhOlt2p1YC9LE5/jQYcYRzlWM8yNw8tOpFFjZvnokABizTfji2djjXRqBE3NCtZpCUEWDHzVUSAFeAnjuun+fk4QWAfm5eNY3NzcUylEH7DMuD1QRIOTC6A0/eP4DgqGa6a2fA1p2lwr0Skb5106Y8k/iWQyf4GZCJEqxRxK6IfaM3/J0BThgBZ3CmKTYLsNpfiztyBW2VsPUUwm1UMox8zsF2djEVnuU+LAFNjkpbX48DyRhxa2ojAJXKELGlE2JJ6nGObSrNqQ+W2Z6j26EKVexsqnNtRQoufZy5D6lqaEK06nGM1niKolFHEKMRJAiySbHJsbh6Oz8lB5KwiHPgyE9sHJyJcrwRbJj4iqzzExgniRxzKYDkxDys52cvYNvVGN2DqBxmY+F4qFnyWC9NJZdimVk0xXw2v5bT7ywi2RcW47tGAmjvtqLpLsD2Qo/hBLUru1iL/TjUyLshx0okMMO0xdhLoe9k297Ml+bF1HiC7OdDhrv5zPFb9IRYGbydi43uJcBichB2zcuE25jEMPrsN++UF2KCTjw00E1ojk2G/lPs2boWXbgO8VtbCh4y+W5wvZCs/uLyODrEWoYxTdNr3NyhQ5NKD8s0dqNjcigqXNpQzb0WWzcheL8d9uufLi4twmmMT4Do9L4+Rg58IsJPzMhHFiFQl2GgEAr5Jg8f797GbYHcczg4w6Ql8DAtwyKkCx324v70NSk0W8PJk7LWjTQSXHNdDm35rmQJgtwiw2+JL5ccprY73Ae1VIL0Oqv7H/YCLP8Pn6VIloLF1ig/UBdDEidvAzTXwXFcN+7nlcJhain2azdLnZoc05fBf1oCAJdU4tIRifnEtNVU9dUI1ouj0bmnXocyhG80ezyHf2oVGtzY0OrWj3o7gM5ejgEBLYsKvULCepu3+aW4xE1XA9Tyu5+GEaj6OEWRRZJVj0wsQ8HkOtn2UiECNPDgMj8GWMcnYPDcLXtQrrjPYIj96jGXvPsbGSTKsGlaG6X9JxJIP02E1oRi+bJW+NBm+FM67llbAUzUV2cFtaLnfgfoHjahLbkZtsgzVDxpQcqcOBVeacHtXFbZMv4dds7Owl+ywVzUXu2dmYdf0LGweThPwHzex8t9uw3RAKkzfuodNn96H98xs2A9LgNWIh9isVQor/UI4rGI3IJNsXVqLfTQA+6m/9hJg+wh8fzL6oWU1CFpawwKtxvFFVbjK13Kt2tHg3gmZO5fsBg0uzNsmBWpoJkoJtAzdOtxeVIjzzNNZguws83SGuTgzN5O5y8CJOZk4MSsPxyfm4+CQdGwh0HwJNIdh9+A6ORl+ljQTng0SyMQH5dJHS1K7VMZ1wWYCZGFsmYLJRLtkq4w+pgSYMvo+guoH0asAe1Mo38elABsfx4rnxVfv2EbFBZBh22uwz6IBHmp1cBidx4pm5RFkEWoKCvVGBC+gxZ5fRfFZhfD5BNn8CpyZX44ErUbU2/aia+tztLnT0Tm3QrGpFc10m41sndWGcmStrMYtCtdzc3JxhsL1jFhyQs8QXD+p5uHU7AJGHsLG5eLgJ9nY/nkSmSUTVl/dgK9qOkJMKrFbKw8ebFm2X6Vh+Vt3sfFH6kiVVqwQ3798JwmWI7LhTSG8Y04ZfOaUwJfhODoe2azenqQeKB4o0JTUwmhC/d06VMfUoPJ6Ax7sqoHX9AfwmZIM32np8J2SCZ/x1G0/pMD244dY/e+3sP6tJNh8nIX1/xUP5yGC0XJg+fktbJudTRdJE7GB+zWpxcbxqfBZWIUjFPxHKfgDqRWPEFiB1J7BjDDq04iF5WyFZYhWr0GZZTtaCbBW9w4oXDrRxBbaZNeMJnPm1LgRhbr1iCfQLhBgAmRnWQznRcwi2GYRbFyemp6H46Py4f9xKrZ9+BDbJ2bB9us4mpp0hG2R4fQeOc77N0gfK0nnyKTTF6+4S4r9WxFNDHa2YzSIZDLxhfKYKGXciXyF0f5nYFO+L1asC3MgXTrULt2u6rB1FZ1YHZxHZVFUMiGL5Ti7qAlnFjVQH1SQqink51YiiqL3NCf0AuOhWi1kZh3odetF9+YudDi2ot22GW0WzWg2aUaDgRz5bBMx83NxUTUHFwio84wzjLNsQWcYl6gLz04rQtC3ufB5NxF+nOwdMx7D/rsYHDWjiN1UCX+dbBzUqoHbD9kwev8R9AYkYed0OVtFEzZ+mIl17yZxmQxrOkTrzx4xErFh4C2k7JTh+aOn6HxE8D9UQH5fhsY4GRpuN0J2XYZ412qy1WXYfRyHTZ/chz3BZTvwHiz/GgfLP8XD5d00uA8uhMU7ibB4Ox7uPzzG9ulk0K9v46BRBY661WCPVQF2b6iFI4HnSpAG0fgcp8aNouSIXFRD0V6OMGrSMOqsqHnFbH9FiKWLrDZpQZdzN3pcu9Hl0Ik223a0WDVBYdYIOTVaCY/37vw8XJqdgXOqjNnpuECAnVfJxjmVHJyjYz49KQeh36Zj5zssFmrbbeNSYPbFTYSYV1KTCZAJFmv87UTsq+5SuMpbEc2SDhMhWuUdcS9jRoz4eFJ897cfaK8D6F+N34Amvv95qgN3jnUgcnMVjq5vxE7VMviOZP+fRcc4px6XFzbg6jzqhTmVjApcnl2OK7PLcIPLBwsqUUkL32Xbgad0m0/tOtBt0YJOMwVa1ylQrydHztJKxM4pwjXVIlydXYQr1GKXuH6Z61dnluDaNBqD79k2P8qC79ePEbi0CC4/xmHn3Mc45dOMc+LWV+alOKpXir0EpduXOVj350RYDnyMg1NlCJnRip3fkeE+zYQjXaLj+4/h8F4S7AiMcyvy0H2tFy+SO9Gd3I2Wu2S1Oy1ou8mWFdWJs5rFsPlTHFzefgC3t5MZKdg6IA0+n2Zj39dl2D2kDNbvPMLGPyXAjfps/+xCaqAEbKejO7OdY9svxxHnEviZV+CATj3cRmfgMMV51NIynKfUuLSoFufYBU6T/c/ML8WFuWW4QraNo+su05Whw7oDzxy78IxmqtuqFW1mMihMZJCtkaOQOvP+7HzcVMnFNbLoVXaAy+wEV7l+fWYerkzKw8kRmTj8cTJ8WBy+Y9PhOCwWm6c9wFkvsthBGfWYApeD5X16TOkqb4YJkAkGE6EEWD/I+gEWe+JlSEDrB9n/FGhSSO5TAI1gZfu8RfRHWJYjhJW0d3wW9n2fiWM8mGuq5bihWsWowA2VKtxSqUa0SiXiZlbhASN/cR2a9OXoWq9Ar2kbOteR0ehEm/WaUEUBnM7/v6tSijsq5YiZQdBNr+CyArenluPa2AqcHJaHw4PSseezZATPK4XvzDS4jI3DT5tqWJFNuHKwDRc8yWwbChCpUYaACYXYOjgDG96Khzkr2YOuM+B7tqhRtQj6sQGho+QIG1WPkFHVCJ3EYrChIaD+aLnyFK3XqCfPdqLyoAL3TGsRMbYc4UPrEDG8EqEjqnF0OLXUdzXw+5bm4mO27/+6C7M/xcL1syfYN60QOyZnYMuPdxFlw2LzV1D3KHBmNzWrAxlrfTX2EkCe36dSb2bhwrxyXJ1bg5uqtbgxs0aZt1nKSJhViRy22Xp9GdrpUns2tKHbRIFOdoA23SbU0Xxlq5bi/owi5rkE8TNLkTCjBHdYaDenFeDa+AKcYwcIpTnaxZbpy31uH5cMm++uIcK6AlcPic8sCTSy2NUQIfaVWuxmeHNfq1SymGiT/SFdOvYqyPqu9Pm/Axr1mvjUIEZ8q50bjD/RjLvs05d9anBmYwmi1CtxYEwB9n+TitAfcnByQhHOTqBj/KEUV8fXIWYK9cPkGjyaXIviuQ1QaBJk+qzONV3SslObbUCjFdXzG5E1nS1gYiWiOak3RrKiv+O2vqGT+qoAYYMycGDgI/gPyUAwKz2ArcJ9dAJC15bi2oEWXD1Mwcq4ebgF171rcG5dLk6R8YLH52HHNymwZ0uz/MMjWPyvh7D4031Y/4XO76002P+FrZcMZf32Y1i/R83y/R2c0GD70c3BCXVqqxG3YfXuNdj99QEc/voETlIkwfGtB9j0X/dg859xsPoTXeXbsfD4/DH8JxUSaNlw+T4OoWuKcctPgSvS5TQtuHakBZe8WTD2BThuUoPDqiU4MCIFR0alIGJcNs7TqJwZmY+rPP6bkypxm3l7OKUahbPq0LBcgY6+vD3T78RT5q2Teatb0IDs6XSmE0sRO7YEt0cXI3p4Aa4MycXpr+k0B2fh8IAU7B2YhL3fE2wTnmDTsJs0Idm46secCRYjg10Lk+NGuAy3wpsILGXcPi5nNEltsV+LSSGu7BEXxUogEx9fiuUbgPZ6vA6uV5+LF+7zJ3GKg4+p0+IE0LjReFb+DY8yXDQpxYkV1QhhJfn/kAv/obnwG5yOAAIj5PNCRH5ViBND8nDx62LEjSxHMoGUOrUSKZMrkDKpFMnjSvBwdBHujixA9NACnBmSg3D+71FW4MH3HmEnJ3jfByl0mWlkoywcm1mOgypZ2Do+FkcNxW2jWqkbSfXUFrfokG4wadFBctzxqcT5ddR6K4oRSpd6aGwBdtEgbPvgCVzfS4TjXxMIlIew+SN11h+ps/4YA6s/RMP6D5dg/h9nseEPjP+8ANM/XIXZH6/A/E/XYfaf0bD4Qwxs/3QHjn+Jg/v7D+D5Ecf45WMEjM5E0LQ8HJqaAc8fYxCkm4/r/tS00tl0TuhROW4epVsLYpHuLMdPdnk4bUiWnEfmHZUJv2Fkwi+Tse+zxwj6KgthzEPEFzRBXN4ZVogH48qQNLkMT0RMYkwoRdKYItwjMKO/pT77PBsnP0lH+EepCGTeDrCF+799DwEfU8t+lYxD47LgNyENW4dHI0AzHZf3t3M8LMxQwV6tuHlMLv0u620u70QKcDURVILJmgkoASySTf+y78oeAa5YklC8dBrsNaD1A0l5NUd//H3gxUtLbowgE23z5SVE7UgIYUv1qsZFCwp36qIzy8pxTKUYEZOLcGx8CUJ/LEHIj0UIHJmHoOF5bDe5XGYxMnH0uwyEDk9H6HdpCBlG5zOc1fd9DsJ+zEfwDwUIH1WIiDEECYEYNqEckTQdoTPIFhM4sVPjEWXGFnuoi0kSP1jLCmRF3iLd36CmuE26vxPEpO2owlWLfFzSK8fJRUWIpLGIIlCPcaLC2VLCOFEhowpwlPsMIhsfpgQ4PDIdh0bm4BDNxEERfO7gDzQ9P/I5mp/Do3JwZGwOQiYW4BjHdGx6JcKn8zhn5GL/JGE8EhBlWozbAd2SmL4pgC/OO4WxDYXJEM0x3hFC27cSF+3I1iyWU+oEnGoxt1GM4MnFCBxXhMM/ErR0yIeYl6PfZCJ4WBqOfPcEQUMfcz0VR4emIXhoCoLE+rAMhH1HcH5HwT8yl8fEfI/icnQewidwfVIK9k+8hx0T4hFpIFi2BTfESVaCLJrdSfwIsHSKgqB6lb36W2PcCSGd+pjrtyWffwUjIvqA1t4Hon5Aicf9wcdnXoJM+TrjlY0kiP8TrZPrMdyJuDlf/IkuJDCJsX51uOxUgivri3FtNcW46mOEzSP7zC9AxPxChM8tQihFfegsJnMmJ5eACaHdDpuZj7AZeQglE4RN5/r0QhwVr1FvhM0gEKbnInhqNo5MJJtRVxyc+Rghetm4sr0OcSEdiAmjXhQTJ4AVwUmUrDfHRm1xh+txFLPx1JNXnSi41+bjCscWNjcVEXOycGIBhThdXdQcgk+VrWw2xzorHyF0aaEqHI9YzsyVluFinBTu4QRqON8TwdfD+XzINAJvcgrdbxL8VB4gVDcTVz0bER/SidvhbbjN/cfQsd0Wk8oxRR9rpJmSI+YYJ45i+06ADBfcCnHWtACX15UjaP5jhIqz+MzZMeYsgsYobA6LjvsMpesOnpmN4OkE3fQcHJ3G8bFFh0jrWVKETMtksBtMpaOdlIqD4x5j/+j72DstHsE6T3BxSzXigjo4DrrJvnHcFroriuwlBL70jTcBLo7vlZA6mdTRXom+T4+UIR7/BrT+J/pA9GqcIWOdeQVg/SEA1rfsD0GRYkdiAJLzEFQq0B/WgoRDrGCvGlxxpuN0qMQpMyZpDZOwktVHug7SyESgWhqClqVKEbycS7UnCFzGSl0qXOQTHFpMml+ajCMaKQjXZzsgeC/YVOG8YyVu7WxiojiG42xBQj9IyeL+mTgRAnCvr8cd5+shcsQeasRN72pcdS7DdftKXNhQgsjVBItWKkJWkBU0uVyegmA1jkuNTLGMLYwRzPGJsSmD41r2CMEajxGhm4UzZK4LthW4wOO9vasJCZzEeLpyAfToCI6NAIsVvzTDcUSLltQXQvcI9xbLiY4L4XsOsq3uqMYlV+pNpyqcNSvGsdVkMpG3FSkIVGeOljM/HM+RZRyDyBVzdmSJiGQELEpEwOIHzFsic5yMMO10RK3LwznrMpzdVIwbu+pxhy1c5OrVUxRKUa9kr1cZTBmvAq0vxNxLwXUJS/3B5yixJKCJa86UIUD1ahBArwFNAtebANYfAmh9rkO0UeW32cVzbcrJZc+PD2+Xkhh/lBFMEAaJ4PMUxfFHuL3DypDWGfEUynEi+HocdUwc3x93lGMIY4uO6GDVKZMRd4wFQ7aII1PEcsJihYYgmET0g6w/xHN32BKUTonvpcAVRuY+x3ePbT9BjIu2PoH7FGNLCGzF3cA23D3CHIgxifG9Egki+Hoc3xcf3IG7od08zh6OqYvHzogkywpGFUCSikCMQzkG8VxMX0SLEBqIkx0nCkW0KzE2rt/nsSVQy4mcSTkQ+egLZY768vbbmJgjseRr8RxXQhAfM2LDOghyzofIAedL3LlTMJiIv3d6IlbcmPEE88SliLhTylCuc6yMeOp1Ef1YUi75+un+b6pLV9Dy4E+xurnsD/EG6cJH8c99bCeA1h9/F2gCZNIAxToPTAyayYuNYsVGso1xYsVSxB0+d0dc0xbF1sFlTKQQnP0haJtgYPL7RagEDAkcyqRIQRaLIchiGfFMYALBkkDGSOgD1KtgU67z/0WSxTe4pAmVI/449832JcYhxhUT2cj3NSiXHKMUHJM4jjiCoz+UgGZwGSeAzbHFcbtx4vuuxzkmRgzHFyuNUwBbHAMnje8ThSAdn/R/yhDX9km3ceW+YiRnJ3Im1rl9Ak6MNZZjFWO5I/In5VCMlyGOQby3b5xie3GiAAUjcf+xHJc4/jgpD2R2rouz+CIXsWQyKUfifb8DGN8rdLe4FvFEI4P7Psmc9MXL52Scf+6X0Y8j5ZJjOtV3f7SYU+LByxA3TFauC7BxJwK5BNGrIHsVaL8Dm0SlygHGc6BCLEpVeUKO6JP1iD7B4ORFH2cca2AbacCtiHo6G/FcHd1NDZe10vLWsVqu8z3HSO/H6vqigQkiKJlY5U2cBVDIJAwxYWKixEWZsXwtTprMvpCS/XJCBTAEmJWAb2CIcXH/kbVMfh1Zp55tjksR3Kd4LMYhxntHOLAIoamYKzEWTrAI5WXtyoIQx6zclwCmeExgSEs+x7EI1xYrmJSPBQD7xyWOQQBN5EhsO4bHf0cAnvuOEWM5zjH0h8gfc6IclwgxXjFuMbaX44oR4yGQJBaVikxZGLFSoRBwYp/M2W3BVr9jMiXI+oEmAboPWP1xh4WpfE4AT/n6nZMcr4QjsVRGH9CIvj4Wi+n7fkB/SPQn+izB9K8DjUGAxfe3TKnfEwQcrLjsWwKaqEQR4kbMTIawzyJx0qQKcDGR0lIksy/hMQRDLEERx8exjHj+bxxDWcUvmULSFSJR3G9/Rb+M/knl8Yn9M1ESmLldMbGC2cT2YxgSiMQES4/FWEUoJ/C2NJH97xMMo5zQO9y+FNJYRIj9cKIlVhSga0a8xBp8TYxFmnhlEYjXYhhSexXb4z7iRHAfcRyjxLB8LEICOx8LEIpQ5qxvbH1LwYgxfJ/yWEVQyjCipTHyMccUx6XIl3R3ddF9+kFGcP02p8JNnuwHGo9DXGUtMRy3cZL74HMCdHGnxHN8j8RkfE1iNYGh/u91Sv30lZCAxb7OdaHREk7/Lcj+GdCk8yhSKEEXx8HHsd0J+hYsJOkqUTFi2TchAnSSVhET81tw0CJJ4nm+rqxEZcTzeRH97UhsO46TGM+lCMFo8RK43hxKZhH7FxMttkVNJv5HbEuAQkyGALP0mgCIYMlXgdofyscCxOJ16T0CRH2hfMz3cf0u22iCaGFi/wSbGG9/QYj9i1AyMF8ToGQ7E8AUz4vt/JYfwUZin33x6likPHGp3JZyXMqxKI9XYjK+Jq0LBpP2rwwBMtGRXoJMBPct6TGxVK4rl8rXlLqNY+/HQR+OBH7iqO8TGBLQ+oX+m4OT9j8B2m/RPyhlSINkxEpCU7CcWIqEi1AebH+ClcDrD5FYkRjlY2lSpQQpQwKNBCplxHN7AtD9IT3mRL0pftsv41UAKrcp3vOG/5XGyUS//v6/G8r/EevxXCZEMnc8frEtoZtejr1v+296zGP47b3S/vv/92/j5fM89t9t52UI4MZJc9AffJ8AmMRkXP7dueT/vjLnfzcENl6LfwFoyvhnQOuPvx3kyxBgE6FspX8bEnj6wfTaZP7jyeX2+0K067+Nl6//Pt60rf54+T4BEBH/2v/9vejbTv+Y+h/3P9e3/nIf/7eh3Oeb4o255xikltkHqL8Xb5rzvwmBjdfi/xeg9esAqW2JkD6+4PO/Tco/jn8EOgGqN8Wb3vvP4uX/i/U3v+d/Eq+O5x/Fm/5XRP9rr7//1Xj1va8+fjV+yzujfy6keCOb/T7eNOd/EwIbr8XfAE2I/lcf98ffA9br8abB9YfUPvuWynVxoMp18QMa/6dA6wfCPwtJQ/0uXt0Gx/jK+r/6f/8s+if81e39s3jT/t70vn8cL/f5+vbEHQaUH3wrcy/NxT8BWf/cvj7fb4o3YUgC2v/7+39//9///du//W9lNkGa4mST8wAAAABJRU5ErkJggg==)
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In the real world, most questions don’t come with a fixed answer. If you are asked to calculate the cost of a project it is unlikely that you can give an exact number. Instead, Mathematicians need to estimate and to be able to communicate how uncertain those estimates are. (The importance of statistics appears here again.) In industry the mathematicians are almost always working with estimates and approximations, which is very different from answering theoretical questions in the classroom. One of the mathematicians gave an example of calculating the noise which is coming from a ship’s hull. What is the worst-case scenario? What is the best-case scenario? Mathematicians are good at answering this type of question.
3. Communicating And Explaining Mathematics
![two women sitting beside table and talking](data:image/jpeg;base64,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)
https://unsplash.com/photos/LQ1t-8Ms5PY
In most situations, mathematicians need to communicate their work to ‘non-technical stakeholders’. This means talking to colleagues who may have never studied maths beyond GCSE level, and even if they did, they still might not know much about the area of maths being used. This communication can take many forms, it can involve writing reports, making presentations, and using simple statistics and graphs to get the point across. There’s no point in producing fantastically useful calculations if nobody in your company can understand their importance, or even what you are talking about to begin with! Communication is at the very heart of what it means to be a mathematician working in industry.
4. Coding Skills
![turned-on MacBook Pro wit programming codes 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)
https://unsplash.com/photos/f77Bh3inUpE
The main message from this discussion was that mathematicians need to be good at writing code and being adaptable to learning different programming languages. For example, if you are good at coding in Python then you will normally be able to learn another language easily.
Student Membership Of The IMA
If you have A Level students who are heading off to university to study mathematics (or a related discipline) then tell them about Student Membership of the IMA. Student Membership gives access to events like Virtual Maths Teas where they can talk to early career mathematicians and receive up to date careers advice from people who are currently working in industry (or academia). It will provide them with an invaluable network of contacts and many other benefits!
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