User Authentication via Keyboard Typing Behavior
Case ID:
TEC2014-0013
Web Published:
11/3/2017
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++4B2iA512lO9Pl+uEbIO2F/HZJi3eLfbbIoFeRPZER0pPgQlbIOrDdpYeGZK5jsMWKbWiqkTTlPVM+uCTxL2OZ1y5KdjYFjd8yJUWhlOx/LDDFfAKWUBI+yuqVwborQJ1DoT1kRDV63+XUErHeO4Ak+QTiW1r9Hjn+e0PqMXatylAUTOvkVpfX4AK0FVqaztYF4nqEDv65dn3WnO1JHpIiL/LXZPeOF8lVi+dsS7Xcg35qEtzGHmHmiehSoNGo02WujpLw0H2FzSYu0WtV1wIQCFJMiCMREvuDPSyxrlLFrNkk3lvH7ILzsMa2OzmnLh8/QJKQ14k+zQW716LUpSE07qwnaoDDywu1niQ6h9TQSlOUymoyn5tkRg7q+yazdv2bnE3Mgfu9Y4fblIW22CFfAtA6LWinZvFMmoE0hW4y3Qx6c1o/dUrzIAKFFJ9oMee0btSxPmPlG04leLlLjWxxKpE1bTrZdLLBFQKIrWmorwwi006nUmZGyPao1c/bmM6RiSAMNkWyy+A/TswC+nFLnbr3dbzFkIhPNyJ1UqfqE+FBQV8NC2bVd6tsOhTaUkTA3xzA6nu1WkuoKyjiMoHriOvdb2k8KYblGKT8EjvW2y5GqG4mGuUhW1qQEn+cknw+OjOmUGup1qfPfSSMNmEF9N6wrKhLqVnNl2EjERMC7xO3/ttwDDUji/Hr3cLpboz7k6aw1IecdcSCSSqg8dC7XZnL4txReUlIMpQotVdfqJ9aQ4oSPE+YAyl1zhodwFh4q5V4Gtmcw8PsmNzA+fLctrDMUlA8K7U6IWS2Ckrl06nFKSBtJi1Ya6rt1eWCo+mcLWM3638J9uthuuKM22NJklJdkuNsl11RCafOUE9CfZqWltDFzr1oemUjZiYgdS5eritLpMpwt3zJWOXuBJF1yp+LIdSFKbcT5QU2OvSu0auU9uZt9x5TQkgjGI6dpVquKUNky/sjRflJw7gazuWC9P2n92k740pDW4AAVrT3U1fttCzU3FaXACkcY2Q2K24LDon1wvXY27JuHLFMv14fnPqfjL896WFrKir301JQUzbVe62nBEjKNKZPy1ctLYwlGflWDaI1p48EW8TIySuCkoYmltCwdvQgChrq1punbe+Zz7pyiSy5lLe7o37oc13tGPO5Dij781xTv07Yqp8kklIp1p1roeyEpp3euKjTi0MuADCcMSNYcZVyndVie+VGMUqR9Sogfi/m7emidQhBoUK3z4wYccX8kkSG3hAGteJYy9zpJUy9IdX553bXFqSCr4BPvOjNc0y3QhwnvS4wyv1a027GU5cIfHPnb/iD6mr8+7JTJcQSlPmrSVk0Pht0G03cGqvuO7B0xR0xqR1P5I9UFfjHhTErhxqY91ZfTESwa+Y4sdCmtfw10Pu1zapqsJZMx1wGu19darApBx2YQPOKuGcJt+c3Jy2PoahofKVeZJUEgAmvimnhopfqxlmnSUAlZ4QUvt9fdpkhYmo9EEjJrRxfY8qMZdzjRnJKNi3UvHqrqOhA66HUinXmAopM+EBaRysqWQQk4HrhgZueH7Nbiy/kDbyZSwSEPOFQP3DRK3IdfJUpGXCC1sTWvqzZD2iMQ5U4LxjDhFjXVLrwRUJSXFq3/eAdQfpT7j5USAiMDT1xrKgrKZAwO09yPDKIDvmKdMxO7y6Bypp9mrybMQuZWMsF06Jrs0z7sND/FTxsiFLa+llLdIV5RLbxBr4daavGzU5VMLPkMEP6CdWoEkQFbh3S2xr61mIzK8lwuba+ZVINfedect9IDtPng+jQyRLNKcB1zuIWFSEMyLg0mRvqEPPJpu+xQ1Apqh4H6dsGU6TbEjIYQwZXKZlecFXG8bXyoqCJEjxPj/zmtS3R7gfP7YJt2VtBmUpwhuvyk3JlRR/Ebzbiif+sSSglX+t1EpNGdyvp2xaLKGvsz+nVCYnEI851DS4F7X5lKBb75HU/wDlTqIt0m8K8/tjY1YbHw+aH/YeCYV8c8n8quKHAR1W++BT2/8APU15aKID3Vef2wOqtRJpUzzDshfn9tFmg0MiPKQAqih57h/ld/bqvyaVWxJ8/tio3q7PsHojb/w7YR+X+d5EnzKfi+od8fdTzffrT5WnnLKfL9cV/wCrXs2WWEBpOc5QR1uZrX/7lHH/AM1ouLu/9rzCODnTVErHlifWr2xjVnGUA0Nz6+8wmOv/AKLUars+T73mEbjT1GNjfnV7Y1lZxlHWlz9p/wDsTHT/ANHquq6Pn4vMImTYqROxvzq9saj2c5QEkC6VNadYbH/0eoXLm/L3t/CJkWOln7nnV7Y0V5vlBNDdFVBJqmMyKD/zeqj9weEu9FhFkpgf4Y88axy3KHBX81f8TXa02k9fsRqibi4Pii2mz0o+Aef2x81kGUOmirnMPU+ASkdfsTquq5rHx4Rldtp07EDz+2MU26ZIpJJuE09P6XWn6KeOqz91Il3vRE9JQsHagef2whuXfIkgkz5qQKdSuv7NVDcVr2KgoigpVbEJ8/tjTN+v6TX8zlg0oaLArT7hrX51cveiYW2nPwCMbt5y16oYu1xFNtAl06p1F0U3tUYlRQ0je1tMKUEZnJSN10uR9tfOPhT4aofrpTtWfLFZ9dC0ZZEeQQoKsmVPBSlzLgqo9ryiNRnUM8Cs+WKzddRpOCE+QQ3LjZr6wlRdkzD0JqXlD9upG7rzvigpS1tM7gkJhkvRrg4+EGRJrWlPOUOp+/WHKspG2GRpbYTOQh62PCbzdSlMYy3FrAADSlrWSfcB166Dv3jlbVQJrL0xT7UjyQQXOBeUXIEi4w8WzOVDhsOSJMqJZ5z8aPHZSVLWtaWyhKUpBJUT0GqrWo2yoDmDH9oe2KbepqUnvBI65QD7pBuUIrQ7Il9CapW+sjp9qtMzFUXADMwx07jVRikCEaM06+4kLdcNSPFZr/Lrd10kYmLuVLQnKLKu2P04OeO5LC2eQcNhY7DxGROl2+NdcgyNFv8Aqn4CtjxQ0hLz21CwUkqSOvhXSPdtXMWtwsrKiobgIXqq4urWpLDZVlwMsoAO3aoiJK596OfMeFce5Vnd3zLj8xsWsk28SYFruEyfJkpgtlam0KMZtAUQD4nQ6l103UvIaCF94ynhFB66VVvbNQ82MiSJyUknEgbBMb+MUjZTZHrW+4ne6goWQRuNK/p0/tvk7zDvRPpqkzkI3cJSy/PhtzZbrUZclluQ8klSm2FKAWoJr12pqQNWecqWBiK5J5bZKEicj5Y6H+JeBfTIm2XFmrlyZmOU5DdY9tZmRjLdt4N0lhKVNhpthCkUcVSlT9ukOprL6StSUNhInvGwdscnevXKxqFPJO/K2mQ6iSZjsxiPvqi9qPEvAl3wWNxXaJlrt99sk2XNEy4uz3X3my2UKq6VbTtV1A1f0feH7swtb5moKl2ShktdYumrnKcuFSMiFDNKfenwAG7hFMVptCRdEooaebSh6dK6cAqHt1zuTjpa9PvDuOOPO1HPebrjglgyrKrXMlbX75Cbn7IkFAIba8xCg3Uk1ppEvpduFyZo+YpLah8JlHIb/WqC33FAKKS2lIVikZziZb+2NJXqaXpMhqJYeM8IsyFPNtNhqC0QkKUE+CWk0/TpgToShGK1uq27VQPFurEgkqZTL7DSfWDC36lVstOS4Pw9mrtpt0a9Xy0x5U2REjJYU59Ww2spqkCoBPSuofD05BUtAnKlyQmZy2xLQPKTVIWJDOykqAEgTMicuMbvZfcpOFdo3MOQ2B78uvEGa+8zPjoCZCChCafNSvtOpL+yiovFMh0BSZHA7Ip3p1ed6SiCQ0MMDIqMwDunviFONd2HNV/zvG4Fx5DyF2LJyK3xnWBLLaHGnX0gpIFOhGnepoqdpteRpA7p2JHCCNXpqnbaUvJNQBIJJJ9MEn1V3x/tFwx9Yq69isVanFJ+ZaiAak+PU6A6AXOgMty1eqLmkZqcfJ4I86BEIe2PIbqeXOP4SJ0xEQ5JAT9OmQsM0K/6G7b1003Jw/Kuj9k+iDmp2EfKuKkJ5cDKJiepDgWQZhzQwmw2ibdnmrC088iGwXlNtNipUaeGgWlHUt25BUQJqMA9FVzdG27zFAd/eYEXp32eTau4CFHfZWy63AnNOtLTtWhxHQgjxBBGpdVoy0Sj1ekQR108HaQEbzGrza7Ja7h7yPmCRk0fwH83zB+zTVSqJpEfuD0RHYgk24Hb3TEpO7wrLfEiiTUw7L/yE/5dL+ljNl4ftGFfSaZGol0xpd6LTq8I40Ukk/8AZMHoPaQn3ak0qCedL7RibRRCah0dcZ7jVvs/tIcJNHlEk/dqaiJFyc6ojbxvCj0mFTLbFc792uYszaYMic9VIS3GbLqqnb7vdr1uq0MV7ucgYRHRvJpbotThkJwoWGz3XGO22QxfIUm2vbHaJlt+Uo16jx1MxUIfuIKCDhHqh9NVdAWzMdEEG1YBeOUeB7TBxt2E86hCEuebJQ3sT08QSNQi8N2ivWXQZEYSiiasWy4LW5MCEvkWLH4x4mstgvtxgG4R344caYfS7t2nr4E/bq/ZXTcqpx5KSEyO2LdqJuNapxsHLKH4VcV57ieJ3S4ZxBgKtDcV52MXBv3tAGnj8NVqd24W9x1DbJIUTj1xTSistzriEtkknh6ICXJPPXHuOZlYkwboi5W62qQ0+80ajy0e2vh7dHKO0PqpVJckFq+mMMVq0zU1NOsLTJSgIULt3QcDw/qrxa2S9e5EUoKwK/vNp+Hv1TptP1bkkuujKDsjLOjbkuSFmSZ9kRhxbuxsGI5Zc8hdsjc5+TIK46lIClISD08dHrlakV6A0VkJA3Q5VeiXa1lLYVKUY+Uu9e556poR4LURDJ3AfKPsApr1vsdPa0kIxJ3xJZvD5FtMyZz64aP+M7PxZ1WeLKRGjeUpv5E0JFKeA1YatVKlefJMwQGgKUL5hTjAYRz3nsZ+S/CvkxhyUpSnC0ogkqOrjgQ4cUgwwHTNOoDMgSEMy9clZfeXTLmXaa9JqSHVumoPj4114uFCZASi7T2lhrBKQBDdcyO/3BKBInS5B6UC3VK6/p1kPKi2iiaax2RrPi7rH71MohZ+UKBIJOtXVz3xIC1xjfTieTmMmaqBKTGcAo6UmhBpSp66rocBMpxF86wDIET64I9j4eyy52hV2aj1jpoa0JIHT2a3S+kKy74FVF9Zp3Mk4LuIdrEzJre5PlSkx6pUNijQ7vb0A1Qq6wMmUpwuXTWiKJWQAmHlae0rHIzD5vEhK3W99D4g7dD+fM92BFRrd1ZCWkmUaTnBuFRmFtR4yHHWl+OytaalCTviVOpKkmZMoJlqxHE7XjyGBZoyn0DotTI3V+0jURbmYC1Fa+87mKzKfGGveMVW65Gk2+2tNp3JALbYT7R7hrdtCRgYtM1hSClSpwTLbi1wiNNy0shCltNlQCaHwr11GXEzlAh2sQuYnGu/jZuaZH1z7bQSeu9VKAe3W5dlsBjZFSUAZQY1PyPGPo/y38yjfUV8PNHh4e7UWdU5yiTnP5s2XCKx42JzXG0nynVVrSjfSmlpzVDSDLMB2wiOX9hOGY+SPErEprSSpTTyQPapB2/qOtG9TtOqwI8sbNX5lR2nyQ05kB2OSFA9AevgKaMsVgfExBxp9LomDCI9+GgqTUCletf0asKMxOLSNsZYUJUpwJp7q/7vb9mhNwqwyJxut0Npmd0Hnjng/MuR7ozZcOxe95LdXUF1NvsVreu04MggFxTbKFlCElQ3KUAB7TrmF51o1bp5lQtvX5x5wNMJKlHYAConsH0ETCsPptdztz8stcQZChK6U+vmQLSevvEmYzTSQ94lIBwJ8h9kRqpLzWYIpXu0BP4iIK9t9JvuUuYT9TiNitFdtTdMshkoJ9/0zkn9WhtR4iqcPdCvJFyn0zfpfwCOtaPUow3uUfSe7hsDw665eLfimQw7RFdnXC24zfXJ94ZhsJKnHAw9GjB7YkElLa1KPsSdS0PiCSoJcCgOJlLzEwSqLXdbQ0ah9PcSJnKoKkN5I4b8Jyiqi44muHMUytraQ4UkeFKa6XS3gPtznjKJqe+B1ufRE+uyHsfuHdPl1xtirwxjWM4zDiXDJ70uMJkxtqcpaY7EVjcgOOPlpfzKO1IBJqaJVz/VOq1UvcR7x2dnGNaBL+o6gsMqCQBMk7AOreeGzr42sSewbsF4ykvW3N+YMg/MreotzoVzyO3251t1A6goZgIWn7K6QBqSqqD3VT6gfWY9W0tmoFqaq7grmJMlASnPhIJUeyPmeM/Srsag2qc7kjqPEDJbrK8z3dIz7KT9w1lVwrhiSryCBiblppk4u1KutLgH4Uwmd4XY72ySO2eZzPw7jUjFZsG0W/ILW/HuUuVEvVpmlv5ZDEx5/aS0vclSSkg+NR00SsOo6lD6ULWSkmWO7zQfvVDS0VA1caEqCFKRgSTMLISDjMggkHbxwxmOZfI4TNsuKgUhOxZB+NDrsjLpqW5wetL6qlvbFzHap6leOcRcVYnxpC4Ewh2549BRBl5PGU3Ck391Kj/epSfpluKeXWriis1PUUFAOd3vTCnnVO8xUiZyInLo27IAVr9ValEIZYViTmWklXHEzx80XTcWc0O9x3azyPm06wW6xl235dY02+EQ60mPEjJ6lRQnqfM92kotfI1CUA7FJM+0RZRdHrtZa1yoSgKQlY7okJBIO8njLbujjf5StKYtynhtASlMp8UHh0UrX0FaHytAmYIaaqSpCQTAB+oVFdrQ/Kvqa0qNHlyIh9CAsYxK3hbuE5PweD/DuKcgZZj9kckqkrtVqvsiFbzId6KX5SFhAUr2mnXS1X0TbpzLQkniQIStR6dZqSXFIBPHjHSX2r5Zfc87BuYLrkN4uV8uDjWZsKmXSWubJUhEVNBucUo0G7oK65dckhm6tAYDuwos0yaO01jaBIBSTLyRy1cnWV76uQpLZTVaxWnu11+ncnvwjoWnKwFIB4QD7aZEKSkVKaLr1NPDRZrvQ2PjOmJu9vN4kuZphaFEkDJsfTQnp/1prVOt/hr/AHT6I5rqdhKWl4bout9XLGLhkt34ei2yG7NlzLDJiRosZouvSJLwjhKEpAJUVE0A0iaAfDdM8VbAvb2QKdqhR3PMrAfLt7+lUUQZVw7mfG+Uiz5njd1xq6FtqUIV2iKiSVMPAFKwlQFQR7dP9NWN1iOY0oEcRDoxeWaxo8tU5YGL6O1lhxPp1cvNJB3pcvBA9vRkaS69ZTfqf92Od3kzTUn/AKjP4opgiImC7RzRwATGTX2UCxrpy1mR7YbHFAIJw2H0Rc93/wBTwl2/qc6A43awo+ypitaS/D9c3asD+Z7YTqT/ANS1P+R/zGMfaiwZfZjzcyKlS35CRTqT+7Tqxelf/nKXqMV7xIKeJ/6X4jFVOB2Z9vkTFjtVROU2wkdTSkhOugVndbcP7J9EN9W+DTLH7MTZ9VRhKs7wRSiApWJRBQ/ADSl4fK/0J/7ioH6SBDj3Uj8AiNfaFwtyDf8AkbCsktOIXubY497hSHbo1CV9GhltYqorI20Hv0w3i601LTuIccSFZThPHZF3U9ehxlbCTNZEpDb0RfxkPGl1i8oZJml1tUdNh/geRF+ulLRtEgIPygKNa01y+mvTL1ExTNqJc5k5Y7Jxzastr9NzQtJABKgd3uyEumcU09uuYYlindrdJF3uUK1W9673aMmW6tKIyFOOEDr4U6111XU7KqqhUlCZqkMIebnTLetrRkTKR7IlDyP258NXPkS48gZDztikKJKuAuLUSI6H3tqFbhWh+zQan1HXKYS03RrmEymZDd1wDobm/SU4p2xMSlMBW/siHXep3Acc3PIMSsuDXpN+hYmiIw5OaolL/wBElKajr7aV0X05Su0LCg/ILUZynOU4Z9H2B9AcccQUhWye2DC13w9quU4NjMLkPEJ94vdhhMRvJUSGVraSKdB0PXQlNmrWHFlmoCUKM5SgerRNwpXFlggAk4gyw6ojJ3G98uEZjhjHH/GmK/wzYI6/lQqgqnxPtJJJp10XtNu/TVKeccLizv4Qw6e0O9Svc+pXmVLp8/TDD4t9RXkDjbD0YhDh224wGCTHVMZQ8WyOlQFA+zW9Raaatc5rgObyQUr/AA9auLvNzET3CGZyl3zcn8rQFWm6z2IdtWqpixGw0mlPDp4fdonQUtPbzNlEj54vWzQlNa18xAJUN5hmYj3G8l47bF2uy5Zc4UEigYafUECo9g0faSh3vKSCekCL9XpqnqV53Gkk8T9BCfeuVs1yxSFXvILhcqGqRJfU4n+XV5JkJJkOyLlPaGKL+GgCM1rv9+MVbaJ8rygB+7S8rYPu3aI0ySU4mLi6ZufeAnCTMVdZQUVvuKO5X4iTX2eNdefaJEW2g2kgRrRLfc3Vn5lkfeNQtskHbFsuoSZwqMYleZ6leSy++UnqG2ytX6v8mpFMT2kCMGvbZjO3h91VKZhBh4yHHA2llSdqiVfbrJaDaZk4Rq5cUJGbdBRk8CZraLUi83C1vMwlthwLrXoR8B06aq01W0+soScYDp1OxUr5aVAq4QauH+1V3Pon5jMnCBFKgApa+pH2ao3K6ot5y5STC5fdaC2nKkEmCRcu1jFsXyCJBvE0PwZJASsL8SfD201lm4fOMlaEyIgUjWDta2paBIjdDYz/AIcw3CrtapFuZMiG442VIJ3ChI1dthVWIIUMYtWy/P3BtWbA4wSc4wTDpOGQrjabI00+htte5LfUkAGp1FQtEvFtZwgdQV9Q2+pK1woWGyM33jxyIi0sl2Oz8iw3VVUg+2mtXqdNNUCZwivUvGmqc2baYWOJLBcJdmnWlTQCUOKSEKSegHs1HXKQw4FTiteq1DSwvfBmtmOyrVCWy20tIbWSrZUJp7f1apPvIcM4W6mtTUmZhPulsVIYWtJSAlKiolVKUHwOqLboSZSj1O+EkAzhkWZjGYTcuRdZ0NO3eVBbg6EfCvw1K8pxZAQIIVCn3SEtpMMjJeSeNbbDdpcGFqbUf3aVdSRqZth34jF+lstW8rEYQJr93QYZb4TbFuipedbIA+UEdNbmlkZmDlNo19ZKlq2wKb93ZX2a2lu0xFtoA2Da3SgPTUiGEjdBam0S0yJrM/p1wJrnzDyPei59M5OShyoIZbUR1+zUyjl3YwbasdNTDYCOmGj9byX5n19bx47t21Vff4arcwzghyqaWWQlwkI6aLX2gen9jCQ1cM3kZAtv5V/XZu04pwj/APAMsJ/q6/Pm4akrEzU84pHZL0x85DT+jEma7lzOp5BB+4B5iIN9z7Hu0hfHl6yDHuNLfPakYrcLpabpIvdynlSVxluNPI86WpPuUPl1HT3+qAS6h5RGB3bJ9Qh1qfD6yt212ppGziypSF51n4SUqE1EdOyOU3kfH2rVc5sdtIShD77YFPDyyQPjr6k0heFVjaSTHI9K3FT6U5t488ASSmiyB7F+/wBuuoBc09EdDbEPfEYiZEthJAIK6kEV8NIWp6kttk7MIDXx7I3KOr30tcVsNk7dJd+gWuGzfLzlN3/NLmGAZktFvQ2iO2pwjdsaSTtRWgJUaVUa/Jt4qzVVTiidhkIcPCJtLlC+/lGcvKE98gBIdWJ8sRG549RXmvB8zynGLPMsURiy3q4W5lw20OPKZiLUlJNV0qQNe0/ZnrucyzhulhvjmNd4iXyuqHmWXghKVqAyoTOQUQPezT2RFkeox3C5BLLTufyIiFGmyBFZjban2fKo6Zbto9VI3MFXlgfVXy+pTmVWuK+6n8IHqi8HtdzS+8i9p7GU5Ldpl7u1yh5oiTOnL8191MaVKaQCQAPlQgAADSIhKmEKSo4gmOyaLq3rlp1a31qWsh0EqMztPGOUXkKAy1lFzAbA2XWamlKU2uq12ay1SnGRju9Ucj0+6VUrf7ifwiLs/RxSE3XmNCUgVs2FKNOn/O3P/LpD1KsqfTPgr0iOheGiiq4VH/bT6TEHPURyB62dyPJ7TalJ8u5RqAGgqqO0f110U0lRJqRM8TCXV0CKm61q1DY+R5h7YgviGYTJU8NuLVSvsNDQadbpaksoBA3RPc7alLZEt0dN3Ix+s9Na2uKqQ5w1jDhPxMWOf5dcvt4y1gSP5hHphrvauXpVg8Cz/moEci/J0ZtNwfIKgPMV0r16E6+g7I2FtgnbBjTLxCJQi4ItaZqEpWum4D8VQNT3NhOWcX76oFEzHWP6drf1PZFnMdyp8285iyST81HYsf8Ay64LfSG6wy/Z9MBLajmWa4AbwvztiKasS7HeUO5S4ZkePotn8vGUvSbnKvlyNtjqdeLhbZbKW3VLWsNmnygD2ka6I1qli0hKXZmeyQn2wvaYrqirSDTozZUBSsQJDtIHZtis3M+OJGN3a42i5R1MzbXOlQJjJO/yZMRZbWmo6Gigeo106lfTUJntwjpFpv3zzaXEHAjCPsJx1P16EpbJorwp06nUNWlKRsxjN4uBUjbujqV7D7WB2K8mW9aKJfnZUjaRUbXIzQ1xHUDgTdUEbBlhH5pdtFwWdw9CQYjtw12X8Mcj9tnMuc5pjrlyzC2i9osNxE12OLQbex5jSm20KSgkr/FvB92jFZqB9i4NNNqkgkTHGZitaqhxdFUVaFkFvLlA2cTPjwjn6vOGMx7i4022miHVJ/DQ9Cfs112ncEo6RR3YvICpxKvtxwmY7mGJORrbJk+XkFmWox4y3kpCJDZJO1JpqpXPIS2vMQO6d/RCVqu6EoUlJx3x0udy2BXvJ+Uu3q427HrhdWLLdIEqbIjQVyGYLCCxVTqgCEAUPj7tck03cGaegqULUASTIHacN0CtVUrqq1nIhRzMoGAJGB2eQxWx6sLFujcy4y8620h840hKjtAJS2roD7TTrp28Ozmt2P2zBrKoXKqSnij8Ag8dhaLDyP2nck8bQ8jsVsvc+4XBjybnLSyGETmyELUk9dvX2DQ3VD67bdWaotqUgDcJwNq6b5hNSwpaELJbUnOcoOUkmR/tgbD0+cBx10S857isEtIZcS44zAbQ6tGw1/E48n+TRo6yq6vCnoXDPjHnK8AFK32d/ulSz5EpM4FnqJdwXFV1x3jjjfAMmYypeFQGYUy6RSlUZaYrSWh1SSKq21potoe1VFuS89UpyKdVMJniIs2mhNe+lxsK5aGwiZGXMZkkyOMscJwNuzvvr4p4hwXMOO+UMcuF8smQyFSKwFghxKk7S2sVB608QdWdS6ceu1Q3UU7obWgSmcfoYv3CwPFa1JbDiFhIIzFJBSZgggGCpK9Q7tEw4mTg3bnbHprKvNjS7k2yXEOt9UrqsLVUEV1U/pOrqv8A1FesjgBKK7emqx0j8ptP7y1r800+SKwu6rvFuvcRm4yi5QmbXGiRxEgW6M75jUeOk9KGgHhpqtNA3ZmQwzOQ2k7SYdLJps25KlLVmWs4nYOAAG4Q4eMvUZ5q41w+JhGMX2NbrRbwUx1IipMkClBVQ8dau2Ohqll15oKVxMV6rRTL7inAtYKjMyVKGxyB6hXPuWxpES4chXoRpLa23WI8kstrQfEGnXw1fbp6WkkWWkAjgB6Ys0WhKRCsxSVEb1GcQwmcl3eTKcmKmSFyXHVurf8ANIdUtZqTuqDWupRWEmHVFoCUylhKNeZydkEpsh65TXjSnzyVudAPio62drVS6I3ZtKAoAAeSGS9ktxlLWpbjitx8Sonx+/VZNSVQWTQIRH4LvP203q6e5R6VGtuaTEiadCY9fUz5FOjqiQfAE1oae7WwKjuMbhtDewCUL0C13WQlJQw+vp4+WadTq222tQwERuVTbe2HPb8euinAFRpH/mzWur6aZZ3RWermzvg/YVw5nWRRy/aMau05lKSVOsw1qQB8SE00WQpNJ/EMjC/W3pmlIClpHbDvgcWZIxOFvl2uVHlJcDamXUFBSokdOorXRpmlW4MyRhGhuzUs+YSixTijsDy/JbFFut0n2+0RpyGnG0Pj94UEV91dK9brRi3LU0lKlKTtlsEc7u3iEzTOFKUzIPZC1cOx+fjuY2yyT5LE23TXQVSGUkEo9tOnu1fptTJuFIp9CZS3RCnXofZUtIkrhEnbb2r8NW8O2JUBD16MQkrUio3keP3nS2blciE1AADZMLDmrbi6A4FSTOBTx3gdiwrkC540/YoE6O844GHHUBam0k/Eac7ta3quhTVJXLAGD1yq3K+mS4FkS4QGOeuOnbZnbdwszEOA2h0upQ2nakdR06Cg0UsVGqtpQFKE+mD1gry7S5HCTh2xI214tkGacUojyZMN11MbaNtAaJAI619w0vimatlflUZTMKj7zVBWlQnIxvYfg8uw4UIyrkxHeacSF7HQlQNevgRqSobSqpOIIMQ1lYmpqM2Wf04RgzfGG5q8fS7dEOOBbRFF7lUr9tdT20NttuZlAYRJbniwlzCQhz55w1YZ+OWyXLubbT4SyU7qAg0+zQ2w3hHzC2ye7OKlvvbiHCkDeYcUfBcHt/HykXW9wdqWD1cWOgoB7euqb1wW5XSaBKZ7Yqqr33qqaEnzwx8WybhPD7Bckzsnt6qhdGvNSpSaV+I1YuLVRWPpKcADiZwQq6KtrnU5WzKcDyy9zHAeKquPk3Bpbq1ropKkUqfdRWrtTaPnFJzOgDrgo/pCuqyMwgZ37vXwCMZ7MJLj7b2/yzQEdfDwJ0STaKFuWZyZEGKfQTqwCqItZL3fJd+qahoklt4rCUBRAAV06dPjrdyooWtiSemG6k0aGwJiAjK5olXVTqmotzcDxUCEb9p3fEJ1Eq8Uo+GC7VmQxw80Ym1X+7Nh+NjMpxlZ/E8FEGvtPhqm7f2EYBAjxeaZmCuNtnFrqqawifZGI6XiCFKSQRX39fbqmdQong2I1VcmyiYM4kHgvH9oM1CLpbYakKCSlXlBdQr7dZcvqiMEAQqXK+rKTkJiQosuKWGMoRrFb3TUgFTCD/3vv1VVcnHN0Kxrn6k4qMJXnnZ9R+RwPpa12/To/D/V92ov1QzlG/POyeMRs4vzaYZLCVOkgKSD83RQNOuvmbX2k2g2rDjHzbqO0ijUVJwIPljrQ43c+r7YcRfJqZHD9qcJr4qdtiST99dfPrSQ0yEcMPIY+s7Imem2R/8A0x/lxyLcxW15y9XQttqITcJRFB71q19IeH1eltpIJ3R8vaSqw0lJO4+uIvXCzvpUVbepV1ChQkePhrtbN0QUyMdYpa5t7BJh14Y0pqewlQoRuqNJeq152VEcID6jV+WOo+uOsj0x1hfbKU16t5df0n4Vajq/br5QrSDUPdfqh98GxK1u/wDfX6Exz6d4bjzfMvJyAo/JmF7A+A81WupeHLaS2mY3H0xxi3IHzVRP+c5+IxFLGXXRc2QkmhWkn7a66HqlADO7ZDJcG0hGHCOsbsJV5vZTZEEVKRn6ftBnzCP5dfNNwwceH7XqEdJ8PxOwODpd9JjmP5LSU5Zekk/hvNxBr7w8rprqFgP5AP7I9Ecc07hTIH7I9Ai5v0c1UvvLqa/ix7EFUr/QeuA/bpL1Gv8A1CR0K9Ijo3hp/wDJv/8AaHpiCnqS2l+R3K8mltJUHJsJaaJJqPpmx+zR3RVchpOJ3mFqreDF1rUK/nkjyJiBOE2KY1cEOLbUAF+0HT3drihSAAY2utanISeEdRuXoJ9M+2pVXcjhXHkE/FmKwP2a5BRO/wCtSR/MPpMMt4/M0i0eln/NTHJbyHF+puDwTQ7nDQ+zx19C2Z3I2In069ykmFnjDBZ10uDLcOJJmOKUmjcaOt9xR6dAEAn9GqF+ugbTiZRre7qFCU46svT/AMRvll7UMqsc+zXOBOl3zInYsKZAciSX0SYzASpDbiUqUFEUBA664ZdqoVNSSDMYRa0i25W2iskkzUVSEtvdAwh0dl3FGacaw+VX8sxmdjjF8VGft31+xDkpDKXwohCVqUkJCh+IDUFVVc+WOwRS8NLNV21FQqpaUgFCQMwlOU54RzFdxFr38r8gpajqUj+L8h8ACk/3t0119I2Rp1TKcD7qfwiAekaxCKZsFY90b+iJe9nfY7h/MeEucj5dzjifH8Zu7S7cMcdYRNvjQhqALrwcksJZDnigBKqjrXS5qS91dC8adqmWrAHNjIz4SB2b+mC9VXU1WpSXalpoJw7ypKOE5gbx2xdBxjdO1/t24nvPF8zmq13u2XV+ZInTfqGGZgVMQlCktttFW0UT0rXXPKi3XK5VAf8Al1JVhLhh1mMU91s1BRvUjtSp0PGRLbajtEsJA+UmI75h3edo3DfDeecd8WXPIMjm5HCuyW0BtyUl24T2i3vU84EoSnwNB+jTBb9IXKvqW6h8JSEkE4icgeAii3X0jdG7Q0LTyubtWvKkS2T47NmEc3UuTMVdkzDGaeQmYHiy6SUOhC9xSqnsPgddoZtrqgRKG+mDbbXLzYywPri4XCfVEumHYvY8fxjgnjnHlWm2xIP1UNCWvOXGQEeZRLAIKqVNSft0mnwtbqFlbzzqpme0enGAB+apSEtFkSwzFuaz0kk7YRM09WHuDuLLibSvGbFVKglUSKp9xAp0oVrCelP6OiTPhnQsYlsq/eVEyE3CtM3axyXBISnzgTir3m7nvknmbI3MmzzJFXq6FvyW3Xf3aGmB1CEIQNqR9mmuhsyKFAbaSlKBuH0xhltFsaoAT3ipRmSozJPST5oENlzrJbQ6s2zIZVuLqdrhgTnYpcTTwUUkV+/RBNCZ7YK1FNT1I77YPWJ+mFeXmN6uaSJeQyXlLrVT89a6/wBauraaBShiqIWmWKaWRseSGVcgh4OF+7io90pJNR192rKaBLeJVFsVKjsTDVeTEbrS6rqAfCSg9PtprUsNo+KLrTi1/DCepdvSP31xeWPFX78Hp9wOtAGp4qiwA6fdHmjR8vG1ufvZr3gP5/8A8jWCKf7UXE/MbknyShbi2/FVpNH3VE1Ip1/70asNimlOcQuGoGBEeJdkxv8AEFPbfYaA9T/onUTvy8yZxZp33wJSjTiWewuObENrcUSNoCFKJPuoEjUYUxuMTKdeG2C5YOIb5f0oRZMMvlzLg+T6a0PPbvv8umtXbhSsDvECBr10DB/McA7RGhkPH1xw64NWvJMVuNnmvKQhtqfEcjrUV0p0Ugakar6Z1OZEiOiJaes+dE23JjoM4nfxh6d+fckYinKYzuNwIi4K7g0w9NSuctltBX+ACvXS7Xa4pKJzl8tU+rCFWr1m3SOFvvGW2IE5zCHHmV3XGJcJp2TaJjkV5aBRtZQaEjp79Mzd1SoBSU7RDnb0m4shwKMiJxZn2Yx+2TNIUaz5jbZszLpiVhplKU+ShYHTx6UroBertcGu+wUhA4wgatVX0CitpRDeGI9e+AR3GmDx7yld7NjdqYatbDgMdCuhCD1Hs92nG0X11ynQpYmSIOabWq4UyFOKxMTU7Ku6C+vTW8EON2f6VcdYXKLQW4of1a6C6romq9HPOYLHAyHkhL1lp5KEqfCzOeyGPzXlV/Y5dmqjQG2IxuEY70NkNgkpJ8BTTvarq5T0aEI2ZT6IJWBlDlHicZGJc8mcl5hZ8f44Zt1yehNyvy9L6WVrbDgO3p0UK+GlnT0iqoWUgkk7YT7Zb2XnXisA4wQ7tmF8evmGl2UVqcYaK1KqoklPv3ao0zhbp3gNk4HM0iOU5KGEcmyN3l2elTzv06YfRYCwmpr7a6I1FVKgQieE9kFOS38mJbZ+uA1j7OX5DzxLVDVIejMvqDq0k7BohcbqKWhCVKwkMIYKhxumoBPaYMfcdh0WNbIy50tuLcHQlJdL4qgqA8eugWlbq85PKTIQD03VrKyAJgQq8e3rCsD45Ui75dGclKjlSW/qE9SQehqquq9c3V3OqCgg5QdpircmKm41XcbIE5QA4ndVxpaZF3h3db01tLzhYKVBSFEE0PiNGKq0OOEFK5YQyL0dVPgFGB6f7YjtnPd3AfyCPNx2CTFhH90havl6E+/7NXWaNDbZQpU57emGq36HUhoodVMmBznneFm+YxW4bZMJlkBKA25Q0H2akpaRmjnkSAZwUtuhWKFWaUz0wFrnzNn16ifQyL3OMX8JZDyttP06tpIOxMHmrFT0xzZU+SGKoZNcQooXPebPVRBWpNFfq1Cvj64IJW01gfRG/H4+y2TEM4QX1R01KnCFHbrXmDjGhuTDZyEicEKxcFXy+Wdy8BxKG29yloI+YBP69QqqJKywKf1C2w5kPogk4rwFYrvZnZEl4GZHV8yNpVWlNaPhWaUsID1uonGlyAwiS/HfF+F2q1Jjy7RHfkfOA460kmo+0aFVFOrNOcKF2u9Q8vMk4dcPe8Q4Ftty4dvt8dpGwlG1pJofD2CmtEU6QZmBTDinFZlkmBvc8BmXRuLMWUtpCkkmm2lTrweQkmUEmrhyJiHsu3Y3j0Rh2fc4zDqWgTucAJKPZqEPqc90RQzO1BklOEC7Kec8DszT0cyUynWySnYofNQfp1JlURiZQbpNOVNRiRIGAr/i1tv1P0X0A+grs3+3x/FXWnJEtuMG/wCi1ZM08Y2uMcDvH1LKg9CIC0I/tVddp9g2aRvEe1uUrasxTv3x8e6g1PT3EqLYVuGIl6463+ImFf4YMIjLILjfE9rikg1Tvat6UdOnhUa+M3U5UqG+Z9MfW2l5Paap5b6RP4Iov487aLXynzhjOK5ZJej45eb/ADhdlW1YanuRYjUh/wAtC1IKUeapoIKqVAJI66L2/VLtAzkbIzbBv80fImg2U3q609vUpSUrUQoiU8ASZT45ZT3QR/US7HOGOKcSwnIOI7A9i8uXcZdrvEWRe5l3i3BoNBbb1ZrslxtxCkkfIoJIJqK0Oui6G1PWVb6mXXMwABE5TGMtwGEdj8TbZT6GNK5SpVkcKkqEyrEAEETx3meMtkhFQFk4+eh3UB6ZG+RdKpcV4V/8nrtV3pC/TzmMRHO63U3zLZGUnD6b46fPTVhIg9u02IlYc2ZheFbwa1K40Q+4e/3a+ULy38vVvJ6Y7f4HvmotLqj/AD1fhSfXFN3dPxZCunK/IU5fmn6nKbu6sJc2iq3CenTTfoe+MUgCFEzHTHzpX3l61XCqSJSD7u79tUvNKI2Y1wzEVc0Nw4s+U8VAhqOTIdJr7EoST4/DTrqbVVM63IHdxjZ3U9RVDK2Jnq9kdKPZfj0nF+1aHZZsKZbDGXmBEe4sLivhqQ+85uo4lKqK39Drhb9QKguLTsUqPpXwxQ4nT6i8kpJLhxBGGPGUcxvJrOPJzC+l11yn57dD/bD/AKdfw19AabtSCyB0R8+2SqqxTIkPhG6LYPSWy3CLTnGe2JV4hwrnfcdtS7bGlyUsrn/lj7xdS0VbQpTYeB2jrSpHQHSJrq2ijcQtIOXEE8NhE/PHS/CysNJdHRUqCeY3JE8JkGZAntMsZdBiXHOvZBhPK/I2QZ9k/KNhx2Nd3mnPpjDakSm2mkBJCnHJbSfZ/R0k0VeaEnJLbP6YQV1F4cCtr361y4ttJWqYEhgJAEElYnsnugHf4UOxPjlXnZhz6y66z8zjDd7tsJKyn3JQy850+CtGF3asrBJKPIk+swEGmtPtD8+6qd6G5HzJCzDd7qu/ftfw/t+k8FcV5C/lwVYE4zDebacei2+3x0pQFuPrSgOKCR7K1OjelrA65UpefEkpJMt5J6BMAQZvtei721u0Wlpwtgom44CmSUqCsAoBSlGUtgAmTPCR5y79yhiUmetzeSFLV4Ragfq13ylWw2gJl5o3oNHVwRiZdsWp9vHq14twdxRjnHVn4dxN2ZYYyo72QxiYLt5cUoq+pkoTGUpbqq/OorNT7h01za86LYuNSuoU853jOWUYdAJnh2QSpmL1Z2y3Ts05P21JKlGZnjJSZy3YiHzfPW2zeW26m1WjHbM2a7Q3HdfKR7PHyx0r7tV2dD0iCCrOrrPsAiJStU1Iyl5tE/sNgS+8pcRiz71c+a8gjSorWaSoDD6VtOItsVMdXluCnQlJUOh8a6aLfpi30qgrkpJHGZ9JMVv6NvV1GSqrXik7e+Ez7EBPkiuLI+438zmypzzLkuXKfdfkPyFqW6886SpSlE0qVE1OugsXBKRIIhitvhsmhSElWEgIbjXcPOZ3JYiFsKPVKXVJQQPgFAHWHbhn+GDCvD5hyRUQesCNGZ3EXl5NG47dT0qXlVqfvOqfO35BFlnw+pmzj6IbEznPIHgR5LSa16eYonr9vjqVutUnAAQVZ0bTNjD1Q23eXskUokBv5iSKOKFBq+m7OJGAHli6nS1N0+QRrL5UyxdAmSoVpXatZPX7xqP9YdVj64sjTFKnaPMITZGf5a/XdPfoT4BxYPX/AEqaiVdnlb/PFpvT9Kn4R5IRnskyJ/8AtLhJr7P3hrX7ydR/qTytqjFtFop2/gHkjzHcyGWobZks1V/TPt/Xrxq1j4jEi6ema+BML7Vnyh1G76mXQj+kaEfo1gVSz8RiupVMPgTGq5ZMhK6OyZh+Y1G4iv8AJrcvuH4jEyFsAYNiH5h3FWW5fLbhWa33e7zHSAmJAjuy3yD/AJqAo+zULtUGhmcVIdJlFGsujFEJrKUxMbDfTg7ls2aZXauLcn8t4JIeuMNUFmivAlTu3Qp7U9BTe+8nsM/RC65rKnCpImo/sgn0QK+VO0rkLhTJBjXIOPPWS6qbS8ht2i0ONH2pUKg6KWyuZuqOayrMme2L1HqduvByTBTgQRIjrEWM9u3puYNfeLbVy9zLyPGwnGrwsptkVuKHZEhI9pUpSUjw8NBKzUdQalVJRMcxaRM4yl9OyEy9a2caWUNykDKZmSTvkBwmJkxLTDux7sVzZm+YtiGTXvJcqiWqVLZm70JYbcZSTXamvu1RrrleLbkdfQhKCoAgGZxMLzmra1HfUVJ4TRIGWMveJiEfbJwHho7po+HXu3sXez2e8TUJjymwtuQmGuiN49vSmmrUzq6egU4gyJG0dMHLvfHX6AOJJBVKePlicPLHerd+L+R5nHWE4RiNhg2q5NQG5EO2MtOFrcE+xutafHVG2aMpammS+8pa1qTPE4Y9EK1vsa7oz8wpyW0ykPScfPEevUruachtvGuUyo0Zu6XW1RZUt6OyGd7jjQNeg1vo1pLSXW0+6FEDfBvQilB15JPCBd2BZjlN05KTaJV8ukm2s2iahqE7LWthFWyOia01c1U0kU85Ccx6YJa3pW2afOlICpjGWMojB3ScRZgvO8zzFFmkixqvchAneWS0VE++lNFqV9C0oQCMwTDFpW7sinbZzd7Lshw9jVpfb5esSVA/iNelaa2uqT8srqiDW7sqNZHRE9+5Ptni5IMq5EcnKakwyAmPt6ENpqev3azYrjm5dPLdCJpnUppimnUMIFnZLx5e3uRo8qHa5bsQJU19Qlk+SFEnxPh8a6MamqmqWlUCoA8IL60q0mmLeYZjE+e5PArJi+JvXe7QIca4mc06H1BJeoDXx8dBNIXNVe6UpJKQmEawvPKdDYUZSxG6NC5WXjTO8Nwy8XHObbbUWdqM+uMXU+cVNAEDxGpaarrqB11ptknMdu6JmvmaF1xIbJJPCI68sdxuCYjl2Posk5F6iWUpbfcZcSQpCBT3nTDQ2lz5ZSHyApXDdDHadLv1TK84y5tk4T8t78OO0w3X7BiyPzZ+N5K5ZbCVeYU0rXr7dU6XTAbI5jxIB2Rco/DyoURzHO7PdEKovdlmlivV0vFkeTGeuDy3Kg/Miv6+mmJ9lioAStIIHGOgHRbVU2lKxMCB5nHcTyJnit16vct8VJDYdUEpPj06nUiFIp0yQkAdEE7fpOnoJhCQCYFUrMshmp8t+5TVoHQNrfUUjr7q6wHzug03bWmjuhMbbuc8kttyHvaopQpfj76ayVTjdQaYljDzxDjzI8wubdstcZxyQtQSQUEba+/pXWjrgZTmVsihW3ZqgBWZSiUcXs6zSImFIuXlobfKd+0/MgKp/l1UaujTnunGFB3XDDswmc/p0xJS09nuGR7O0/Jnhy4bEqW30J3fZqqLs4VSy93jCjUa3fUsgJwgqWbjrAcasy7auyxn5IbI81bKSoqA8akft1GeY4sKnhAl+51VYsLzGU+MMyDakToF6tEG3MpaSh3YEtgHr7unu0QcCWFhRMXnHygpWomfXDd42wu7PJvdsdDjTaVPAJ2EJ6k6krKlLRSrCLN1uKE5V8ZQ/wDAeOGrXJuabg42lkLUfmNBt++mq1ZXZwnKNsDbldOZlyjEwo3y9YRjceS67dI6FMbz5aHASCPYB92osjy8SIiYpKmrUJJOMRezbuiwyHFejQWvOltgoSrofmT/AC6iNIpJ7xhooNIvqOZZkDEYcn7q8nusf6G2pXFQFfuyg02geHh1HTUIbQ2YbaPSDLWLhmYEb1/5JzuR5aF3OTWgSGw5t+b4nW2fLBkMUlADgBD7xvtvz7J1Jelx5LCVEKcLyVV2n4qHu92oFv7gIF1WpqamEkyg3f4OlflNfqFfmHh+A+79Oo8y9uXCF/8Arbv7O7EluHuFO4y8Pw1xOIc4XGO1Ykrwy4xoagT0PnPNIa61/pa+WNd+KjlzCktkKJ4En0R8kv6GfrsKSneUkbwgn0CXbHTjxPjd+t/BWIY1eYC7dkEfBYVsm2+TRC41wEby1NqoSBRfj11xVpTjrBKhJZBw6cY+v9K2xykslPSuJKXEsJSQdoOWUjEUOI+17lHE+ULBm+QvYnDs9ouM2Y/Gj3F6TdltyGXm0hKRH8kHc4CaueFdLFrtdey6lb5SEzmROccd0d4RV9kuzVxfLQShSiQFEqxCh9mW/jAM9X/OIeN8U4HFjzoJukrJpSvolPhUoRExl1c2JVuoFACvx11vSLjhrfyhMZcT24Qb8YaZq6u0NKTNWZaiBtAAGJ4CeHSY5fZvKd4TdVvJeaSAuooVDwP/AAtfR/MeeYynhAKl0LTlqcjMjoi7j07fUh4t4YwO98cctsXlhqZkL2Q2rJLTGFyYbRMjsMuRpLO8PI2Kj7kLQFV3EEJoCrg+p9O1SXy8hOYHaN+HDjBfSl2ToRDtMpha2lLzAoyzBIAIKVFOGAIIJO3DZEqMj9RDsDtk+be7fxQjLbzLfclyLk/hMJMqVJdO5Si9Nqvqeuk1vT1QFHLTyJ2kn+30R5WpbQVqW3Z1KUokkqQyJk7Se8o49UDG9+s5xrjzK4+CcGRoraKhoTblGt7Py+FURGFgUHx0XY0nWOmQSgDqJ9kW2NZViBKmoGGx++fQlpOPRPtiFncF6w/MPJmLXXEcbt1k4/td2YcizpVieekXdyK8KKbTIcKfLCh0JSkH3aaLVoJalpU+oqAM5SkIiqnLvqZBYqnEpZV7yG0KTmH2VLUtRI4hITMYHDCKUMjzObPluPqlPuLcWtZV56iSpRrXx667BbrQKZATDVabA3SoCQkAAS2CXUI82Hka8WSQ3JhXKdEkMqDjT0eUtlxpafApUlVQfiNbV1kTVjETES12mGawSUhJ7B6If1w7gM0uaKXLJ73cKCn9+uj8ogU9m9xWgqdIMpOAA7ICo0DSJVMNIn+4PTthjXDlC6SfxS3lVqKlRP3/AH6vs6bba+EQap9KtNYShi3PLpsxStzrhCqg1V1qToyxbENbIO01qbp9gENJ6Y6pe7esk0PTRJDYlKQgulASJCPKbk+34LVQfq1g06SdkbFtJ3CceF3OSv8A51VPgSCdeTTpB2RsG0p2ARpOSJDhpuWQf5pPjXU4QBujdMhHyYUp2lEKNSB4VqTrfKRHuckRlTZ5qlf2Sz1qKdP+7qNZyxKl9MoUWsZuDgqlpe6lfw0BGoFVCYj+cQNpj09is9I3qaV7+ntpryX0nYY3TXIO8R9ExeU+4E+WRU0qfbrYvARsusSgTMGjEODsjyhbTVosV1urq6JS1brc7NWVeHg0hR1QeuLbGKlAdZAhfrdSN0xMz54lniHpudyeattLsfDuXLbdCSh+4WtVqYIV7d0nyhT46Dv6xoKfBTqZ9GPogWNXJcP5aVK/dSo+gQEuVO1PkHhnKHcT5Dxibjl6aQl4RJaUrQ6yvwWhaSpCwfeDovb7qzdWw6woFPGCFNqdFSCMQU4EGYI6wZRPfsk9Oi2c+47knIObZkxguA4i82xOnNwxLmyXdpWvbuKUIShI6qNdL2otVKtLiKdhvO6rduEA7jqRZLmVSUIQJqUZkCeyQGJJickLt19MrjUIbvWZ5FyJNYUEOMtyktMvOA+ASwkdK/HVHmagrRMIQ0Jcf7YT3NSc7FC3l/uICB/fUT5oGnqBdpPA2C4dxtyHw7jjmOwMrjhxyEt1bqHmHm0uNrO8khVD11d0VdqmvW+zUqzFsynBOjva2XmkpWsocQVDPKYIJmMMIKnpw2a08fcF818jW20WxzLLFuMC5SoaJDzDbbW7aCoEgE+NNU9ZNfN3CmpVk8tW0CKF8rXVLdWDilKAmeMsypTkcJy2QFf8fXP+WZfZbW9lxtsJ6/w4rjFsaEdJZceSkp6ePy9NOZ0tbqJpeRhMwDicTgDETtnXy+Y484oyn7xAn1DCCb6ojYuGT8cTpI82Q/i7C3H1Cri1KSCST9p0P8NhKkcH/UMb2N8qecUTMlCO3ujGM3Njjkf0+eJVM1G2e2DtNDQk6006rLe6v90emKtKAutTP7S/QmA/6bk997lHJEOBQP8ADFxND4dG1D7/AB0S147/AKdH76fTBDVrQS2nt9EZO3cV7z7hTxF7u3j7f3ldENVKnayf2REFeoG2tjqiP/dBbZCu5DIincR+fsKFKkkFymjtmMqBs/sCDGnHgmgSOgwU/UAilWEcPoVXeqxQUBJ6EnygB8ep0taPUFc/98+mItEKPPe7PXC/6d3b9yExmkbNJ1kctuNybc+hNzmrDDJC0dCCqnjqPVt/pkslkKmuYwEb6yuDdagMNkFU/pjEge9i243gHCV9stxvlilXa4XaRIbYiSUPOpQs7gFe0GmtdMVZuFWXghQQESmRC3pdpaq5GXEAYy2eXZEJe0bP+2HjVqNm+b3yW/lEV7c3bGaJb2p6gV+J0auzNdcZtMZUoO0mHTU1FX3BQaQiaDBu7ju/7ivMcVuWNYDYHI319QuWsBIWCmlSfv8AdojpvTS7W4HXns6pSgRZ9DvtvpddkkDYBj54h9x53z5zxnYzZcZjwY/4qTAmkgA/ECp66Y6uz0levmPDMeG6Gus0U1cF53Jzgacm92PJnKSFNZHfZUiOVbiwlw7K+zV+nQzQiTLYSOiC9s0fT2ySkIljt3wBnM7vzqCym5TfIFaNfVLCAPsqBrYVJJhoatLYM8JwlquM2Yd63HFqPtKipVB8SdSF1S4uopW2RjKMrMSa712uhJNKkEip+4jXkgmNuY2jZKCvx9wxmPIcsxcdtj0pRUN7m0+WmvtJ8NR1NQ1RDM4ZQNuOoWLcnMsyH02Qbb32i5xiCIMrJWG4cOQtCVupJJbB8a6jpLmzXzDRmRC2zrNqsJDZxEEvLO1DH7LgDWU227/XSSwh1xCU7gCr79QUVa5UPlpSJYwLpdXuP1JZWmQ64X+2W24u4LhZLvjKZktaClEh6Jv9hFeqfefZqa80K0yUlRAnEGqX3gAtC8IKXH2H/kXId6chWtyI0jzFMj6chKajpQ0p01LVDO0kQEuVbz2EpUqJR2x2+XRtbUpK1pQsJbCgR8qfD2HQtxhLEsohRebQyQUxk/Ib0zLLzkZ5LFD1UFBH/JprfmJWmSTGinUkSBxjJOw96RGcuTkthtpKCSkqAIFOo661ZcWV8tKTON2KgpVlAn9cDqw33EsUF1cmSmHZCvMon8QO3ReqsNXWKTIGUFqq31FblAGEBadzqqxzbp+UwUqQ+45sdSg0qqvt0Z/pJTgSXDPCDzemfmEpDitkAm9clZrdXZTjFwVERJ3ApDq0n5/gDTRduwIRISEMdNZmGZZhOUCC44nlF8U47InSpCH1/MS855fzffrK7UlJlMQaQ8zT4SAlCQ72+3ejEqWlpER5dC58yjQn3np7dL79MgEjbEw1A2kZE7YLWL9uuNQJ1vmTi3JZWW1LTt3Dr49DoK4lOMLddqVxaVJGB4xNCw4Vg9gaadtNpiJWlCSVCOCaj7euqPLlthCq6+oeMlqMO9cplsFTbTUds13EANjoB7hrUqSiKACl4GZMI/8AEVk+s+m/MmvO/Fs81NaV92tvmMPdwiz8k5L3TKCFevW3zKQ2sWHjLErRursXMub9wWmvgSA20muvjE+GVTmkHDLoT9ZjWo17f3cGkU6B+4tR7DnSPKIA2T+sT3D3RLiIVxxiyIUCB+X2Uecnx8FrcUen2asM+Fbzh7zi+zD1QNdvOpK8CdVkHBDaB51BR+m2IwZn6kXcbkodTL5XyJltzcC1AlIgIFa+HlJSofp0epPCZkSKwo9ZMVlWS43Ag1NW+r/6ikjyIIHmiE3IfNeW59KM3JsjvF/lbVJTIvFyeuDyUq60Sp1aiBX2DXRrNoxq2AZEgQes2kmbeSsJGYymdpMuKj3j2mAVKuLjrpVuJJNSf9x07opEoAEodmmkpEbEfIJUYUS4oUA6e3VB+1tvTmI85RNu4KEZnMsnFNC4vr7Cok/y6HixtT2RoizMp3DyQlvZBNXUl5VCenU9f5NSJtjbZwEX27a2jACEl+4vPeK1K99T46lFOlGwRcRTJTshKcUVKNfZ8ffqUDKMIsgSjAsdOnj09usGN0xgKXD4D7etf261JSI3lGMx3lVqCf0jXualJjEwIxKjup8U/H8JOteYCYlSoHZH43FW4QnaamngffrVTmWJMwTthxQcWlzNvltLJJ/o+w+3w0PeuCW9pEU3rk3T7TCq9gtwbQVlhyg69WyOn6NV03ZsnAiIG740symITmsbdbI3IJUCQKpJOj1G6H5SiddWlQ2wQcdxFUxxtKkeJFTt8Bq+6kITMwErbsKYEziyHtg9O3k/uWZnXHFIVttWN2pwR5+T5G6qFaW5NNxZb2oWt1YSQSEigB6kV1zfVGsKezqDapqWRPKNvbCvT3asuy1JpkzA2kmQHWT6MTFhdm9HfjzGm0SOTu4zFLQhvrIYs9uaUoJHiA7JlJ/9Xrna/ECoewaZn1z9Q9cbVL6qYyqa1hvozZj5MIfN79KntPyfizN75xfytlGR5HiVumSDdG5MGZZxPitF0MustR0GiwKdHKjx1EzrauaeQHkJCSRhIgyJlxMYRWoXSvVNNVBwsiahlIEpTliZ4jYcRFDFr45jMZBHgvNjb+YNRnQE06FwJURX366s5WHITG7t+U40CNpAjp95b5KtHYx2/cQN8T4HiiBe7ZAYkyJsFP1Lkp2MHVvuOhO9xS11JJOuRWW3f1RUvKqFqJGOB6ZeTqgXX1z1uRSppwgOOtlalqTmVPDAT3Y+aIWYf6jHPHIXI+G2STeLXaLXdcos8CVEtcPy90aVIQhSdylqIqk08NOdRpCjo6dxaUEqCSZkkwErK24AcxdS6ZYyGVIwx2AbOucLnq129mbyNgcpbaC85jZqvaNxUdh8ftOt/Dfv0rkvt+qCt1qizdHcdrbZ7ZGHz2WMBjsh57aRVKkm8KAHjUxVD+UarahMr3Tdnpiq+oO01Yf+1+IxSoZ0oXDZtUEmQBvrXoFeOutKRtPXBlDSVNTI+H1Rcn32bne2Lt6cV/OsltJP/wCWbGubaGV/raxP7UBED86k/cX+IwmdkEdT3a33Csj+e2/tPx8jU+qFSu1H9N8ZuplzzuAb/GIqZxi0SGs/sTigoAZPAJ9lB9SnrrqNUQGl/uq9BhlcfSac/u+qLMvU1Whu78Xb1AE4pFTUmg6ITpK8NVSpXp/zDAOxpKnVS/lo/CIL0ribKuaexjjDHcJtwu89EptxaEOpQllKSqpUVdBobS3qnsd7ql1KsoKRKK2Rbb4eCSUpWsGQnKYTKG5239td87X7jkfIvKeSYrY4Qx6cwLd+atLmrcdbIpQKp7db3/UbepwinpG1q7wxlgJGNrvWm4gICcRumCTPoGPlwisjBO5rD+MO6CdyFcVGdjqMiuLjhjLCi5FdcPUfdp8u9vVcqI06TJWUDtEOC9PO1lAhsDvgDA8REu+Qe/rstjZBOy6x8UuZTks1z6pyXdnd7SZP4uiSKUB0s02nLkWktu1eVKRKSRAtjR1wWMiRkRwKiZeQCKse7DvYufPmQQ5rdsh49aLRtbtNthn5I7TQASBToKAaZrVQNWVrlNkqniSeJjoGmdGfpIJUcylbcJQMo3fNzfAx+PjUPN7lEtMVoMssRXfIKW0ig+ZJrrKWaZtZcDac3GQg2rQdI6srU2JnjAGzDmzNMzcU5e77c7qtSioCXMW+Cr7CqmrvzZVgkYQco9O09EO6lKYa1pl3qY6PLacJP+dTqftOrdOHXThOLjrLTQMyIKtvtGSSUJH07h3JqKvAmh+/TMzSOqA7sCVvsI2ETgiWHjXLLwtDca2SHlqFAGv3hJP2HV5u3OS72HXA927MtjEwV2u3bO4zLL1xs8+Ey/QIceY8tBKvDqpWrlJbBUkhKwT1iKP9RsjYodhiVWHenbn+S4q5lImx2Ircf6jytyFrKdu7+lpdqbzSUlSKZROectkL1X4htUznKMzjtgaYtwFFs2YMwMoWpcGLL8qYhJbFdpFf52nZzT7jrWZo4kYbII1N/U+xNs4kRYznnbVxNJ4uiXnF7QlmQiKFOPJKNyl7R/nA9dJ2nmqn9QNNUnCeHZHP6HUVW3U5HVYTlvhf7dsPgYfgN2n29ttmWgL/AH3ltlYIPjXfojqG2NrrW2VYpn6orahqzXvJBxTDyz/ysl46ceu8kvugObflSdpp/wAL2axa7czSXAtpHdijb0fLVXcEbvGnGloynjJ2E4pS0JaUAVtJVQdf87VW93FForxIYTiO4XJVPUhW+Gtw3xVAsudTGmWmFRGHwlby20oAAPXruOierL0wqiSUjvGLd5uqn2Ao7TBizW98b4ZkyUTlwWvNQA84gJ8fb4K0sWpqquNLmSDPdOBFFS1Fc3MAwGM/7iuNMVaBx1bUyQpQJS3Q9fuVpitFkfexqjhBq36ZqKkycEoB+W97D1wtht1ttLbLhRt84pJP2136NUWmqajd5hJJhipdDpZVmKpxGm5c753dUuMN3B1th0klpC1jor3UXpiCW2jNKBhDOzYGGscIbcI55f8Ae6xGlygr5lLSXCOvvO/W67tyzIqAidwU9KZEiHdC4szm7w3JiwtltAqtJ31SKn3r6U0OqL/jlBEU3LywyrKBOD9x1wnYn7Q5Jvz7pkoqNpWakinvJ0AuF4fKwEmF256hWhYS3sMOyRiFrbtUuJbYq1rZ3eW4CSqqfjqFNQrNNaooN3BalgqVCdbsHut8xt1l3zEFl1W0KqPlHs601E/VobXHnrgltzrELSMasmNWhh29TGmlNUO5bgSf1nQZ51x1XcBlFFdS4+uSEwH8v7gcRxAqjwXGpxKFJolQ8evt1hNI4oTVBmj0y7WYqwiJWadzWWXp1+LZ21Mx3DRHln5uvQUpqXlJahxoNJsNSznGAl/E3I31H5t9RcN3mb/xK27fHwr4azzBKDnydP7khAMcusqh/ekEHaPHrQj46AihbnsjmIaTwEJ658lRO5ZPU+3prxpUo2DCJkADYI0lvuq8SoVJ9vX9msKQECYiZJnGkpalE1+/7dYOIjcYRi8SaH29RqBeBxi03iMI8qbUsDxJB8aezUBMhEw2x+GO6ulEnr7aaplwJxmInSQNpjKLdIV0Daj8dtdVV1SUnEiN/mEDCYjE5bJKE9UOD/R9uq5rUK3iNk1aDvhPXFd8zbQ191KV9mtlPCUTB0DGHJacXl3FSQhtSio0G1Na6D111RTDEwOq7uim2mC9jvCV/vzzMaBaZ8+S6UhEeFDXLkLJ9gQ2lSj9w0oVutGWJzUPKIWKjVyUGU8fpuiVGGenZ3H5r5f5JwtyC8hzaESJuMv2SErf4Hz5yYzNPju0tv8AiK0mZSZ9WPonFdu91lX/AAmXFdIQojyyl543+ZfTN7mOHcJkZ9mXGM6DjEFKV3KfDucC9KtTayEhclqFKkOtI3EVWRtHtI1atfiAzUuBtRIJOEwRPyiCP6hW0CQupaUlJliZdWMiZT6ZRXs5Y0wJgQ6kgJWAa9KU0/pr+eiYg+iv+abmDF33Zlwn6c9y4lsOa888vXqZyLOem/nPH8OW5ZIljTHeWllqjMYyZBcZSlZdS+EndQAEa5Fqe53JL60NoIbB7pABn04mXmhQq6yjbzGsceCpmSUIJw4zyqBn2Si4rhjt57CeQ+OM0ybiPh/Gr5EsTd0s6rvlUB6/SRcWoiXtzX5it8gpS4khSQOvhpAdutXM53FhQkdssJ/sy4GLVrRbbzR1D1Kh0KbChNZUDmyzBlOXm27o5KM8x6NZcnu8NplLbMe5zWmkJFEoQ26pIH3Aa+mdJXH5hKZxVsVeuspmyTMlIJ7YWsMhsqlMjbWriKCns936tO9csBPZA6/PlCDHUX2PlUHsLzZyKpcd5l/M3kutKLbqHUoCgoKHUEdKHXzDqv8AMvQB2Tb9cV7atR09clAkHv47/cTHP5nnIV/l3hwzbtcZyy4qq5k12Sr8XvWpWunptaSmch1QvWi2tNp7iAMIu69M64runbLzuXKkiTMrXr4wB/k1ynVrXIrW09A/FDTbGwmjuQ3cgehyKOFsgZZu2pqL2COnSof11lIm0YCtrAbA/ZEXXep0wt7t14FU0DUM20GngN0I00ieHah8y+Cd3/MYLXc5f06f/t1f8kU4cDQJaOXeO1rSpKRmmOkmv/tTeurXfvUjo/ZPogfcXxylAcD6ItZ9VZgrzXj91QFP4f8A00SjSf4XkqpHB+36o31Gct0X/wBls/igg9kVsXP7P+bIEdpx9cp65NIabQVrcW5HUKJSASa6p6oPLvVMThiPTGjaiqirSMZJbPkKjFbmOdpHNmXzkKsPG2TSGXJJ2ypFuXCilBV+IuO7BSnt10Wt1PQUQIceRPgCCYjori9UoCUJUrCWCSfROJ7eoVbZWOdv/CuKXBttF+ssCJDnQEvJcejux2UBYICuu2mlbw3pnLhU1bzaSWyrA8YnUeRU0jLhktLaiobxmJInAf7C+cOJcMwPkzj3lq6yMej5Qre1ISB+9YUjYpKFdQFfaNFtYaTudZUs1NG2FFG4mUW67lBbgcC1IcQB3BMgpMxtlDgmcu9gXFEhU7GeP75yFeosn6iPMucjzGTJaVuChUpTTcKjprdOltRXWYqahLaTuSJ4HyRXaQp+SUNrI/6iwkfdSJ+eK5O7/udyDuPzGLeWrIbBZ7RFMG0W1milNMJPTca08NPenNH/AKFT8lBUozmVHeYbbJQijKnHikqVuGAAGAAHRAgxPuk7gcAxlWIYxmt9tVhQVLTCZcoGioUO35qio1ff0my+vmraClcSJxdfs1DVrK1pEztx9UA7O+VeV80LpyHKMjuYdruTKnrUhRJ/oldNW0WcsiSUgDoEoOW+io6SXLQkdUR8mW67PLK3VvAFRNTt9n+lXWireobTDUxVtpkkCEp2G+30Wpw9PHywqp/rDUZow37xi4ioCzhKNZuC1JJCkuK69dzKfH+sdbIZQTjjEyqktiYMLcfDFSUVYhSHj7m4iXD+qupTTtjExD+plMxP6eSPxFiZiPpbchuJWk7VJcZCCk191Omt0oQjYI2+cJTOcWZ9q/ZRlHNNqRfIEu0WuCPwfWeV9Q5tFeiT10NrdYsWBQSpsqPQMPLHPr/qhNvXkMyrrhcz7jF7ifK5GJz0My3YZ2qebis7V06e7XU7Ld03GnQ8BIKinRXP9URzRhFnnCSOPOLuII+c3HE4t5uL6EuhT8ZpRSraD7Qdc+u3zWprkaVLxbbA3Rzi8OP19VyQuQ4ds4e/LefWjkDhH+IYuOwLWvqWAzGbStAANPBOotK2xVhu6mA4pQljOIrbTOU9WGyqcCXtey3Kcgt+RWd+4PvRW4ZajsGhQkFKhSlBo1rppplbT2UA5pzlBLUdO20tK5Yz2xGblXAMqxrJplxnI2sTprimCloEkLNfdXw09WS9pr0JDZwAxhntVwaqWwlO4RYXxJiT+S8Tx4lxad+nEMFwqZAH4fiPhrkuoL6bbc8za+9MQjXWr5FSVJ4+SEXAcds6o+T4q3d4dvQ24tAVIWlvakk+yuiN9uj7TjVQEFR6B0RLWOudx0pOwboGHLV/wvAsdZsjt6iXNYdIdbZeSskE+4E6LWJFXcnS+tBRPjBe00b1e6XJEdcMuP3kYhh2HmxY/akrkLYUhSqioUR79br0Oa2p577s8ZxfOjHat0LcOE5yiHNw7mcwRcLjLtUv6ITXnFbUKNUhRP8Al03JttOQApE5CHZrSjGQJUJywgSXvkDJcqfdk3K4SZTy1dCpxSjU9emiCMqEySJDhBdi2NUeCRKGxGhXa6SmYyUvLdfcSEhVU0KiPZ9+oi8AJkxbcKGhPdvgrO8LZXCRDm3CKtuLL8ujmwj5Vfd11SauTbpIBxECTemSSAZkRNjjTt3wk2JiVd3Aua6yhz5iAQogdOtdKtdfKhtzKgYQgXfUr4dk3sg7Y9jmO4hFchRraw6hQUEuLbBJr092h7pcr1ZioiF6qq3K1UyqEa0Wl26XK6RYzYbjqKqoSiiQD/vavVzqKVKSdsWnn+UgEwsM4om2xJJW80hCCsq3KpQAfbTVdVwDqgADOKpqlPKEhDPTnGEY1HnCbLYckJC/3XmAncBq6bdUViwUiQggu2vVKgQIAF97ilIYl2+w26gW4sIdSKVB9v3aYKXTKQoKcxMH6fTIBC3DEXs4vmf5oCygTShw1LbW4dD99OurtXQN0w7olDZQ0tPSY4QNLPwjkeQS1Jn+fGXUf2x+b9Z+Ol18SM4IVF6bpR3IkvhHAuNWuKpd3Sh+W2DQrSk1p8Ca6DvNqUcDCrXaiddMkYCH1/s2s27f+Xp+i202+SKe6v8Av6zy0yyzxgZ+qObM2MUrqjuLHRJpu3dEaDqdCY2SIwKgvgH5F/1T7dRKqAY3AA3xoOsrT1IIp8NalwLESpEo1DWvSnx9+sEyjbaY2osNUhwBNSVdAAPjofVVAaEzFgLDaZwVMX45uN9fjx4kR+S/IcbZaZZaU44866dqUpSkFSiomgA8dIt51W3QglSgAPN7IXLhqNFKZAxM/BvT67i8yDJs3CvIrzboSpuVMxWRZYDgX4bZE5Edg/aF65nX+JjKZ5VA9WP4ZwITc7hW4ssOqHEIMvKRLzxMXBfRo7k8gS25fbPieEtHbuGUZQ1IeQg+JCLWi49aeAKh92leq8RXXD3EqI8np9kXmdP3ytOLYQOKlj0JmYMeS+hpmzOI3G52jlTDbhksKK8+xYE2aVFt8x1pJV5Ynl1RQVUokmPSviQOuqjHiFUNnMpPd6FT/wCX1wUGkbpSoLnMbURjIEzPUThPhOXXFCuV8ezMbvsy0zoy48u3zJEGWwsALakRVltaTTp8q0kHXV7ZqMVrIUDtEDrdqD5poK2zE4tk9KLtk465p5pfa5Itib5Y8Pxh/KW7A+P7heLm3JjsMolp8XGUeapamvBRACqp3JVzPWV9cUtLSFSzHGW2QE8PNj0xpZmUaguIYeJyBBWRsnIgAT2yxmZcJbItx7k++fFe0fMbhxhhPDOLMqssKG5HdhhmyWxLT6KoCWY7CSnbShAGubULD1zdUlASAFSmZkk4e3eY2vGtF2SudoLfRsgtkDMcJkpCvdSkbAR8WPREDrn6vHOOTSnItni4jjUdatoTCgKlvtg+5biwPb/R0cqdMvtJzFxXYAPUYBXDVl+W3MvIR/20AEfeK4tIyDMrzyd6cOTZnk0v8yvGR8SZHOuMtbYT5zxTIBNB0AG3oBoRRlbSkAkkhwD+8IaqusertJrffUVOZCSo7SQsyOEuA2RxdcipTDuMgtgCilEewdCdfTOnVc5sTMW9PjOmUaOA5DMbntJQpXVaRQGvtHu1YvVuStE4sXygTkKo61/SelOzu17lgvV3HMbskJPuNng6+d9RN8moUP2B6VQO0c2E01ekbP8AyRRnP7XuWeZ+Qsps/G2GXPKbpBuF1mTGIKW0NxYrb6xvdddW202FHoncoVPhrqNi1EzZ2kLfXlB+myEXS91L7SGmUqUsJEwkFRAAHDdjAusnGOU43f5FmvVqet1ztU56DcIUqjT8WXGUULbWCRQoUCDrszdYKpnMkggpmD0HGKl2v7VUnA8d3D2R0kdmVudZ7H89gLTRwvZclKNwVUuND26+fdTplekA8W/SYLWJ7n6ZuSk8F/gEc8eWYBen7y8pMc7fOWkVIp0UfHXXG35pAgBa74020McZReb6ZVglWjt65vgyUFC5El4gFX9KFT7tch1okmvZ6ZfilDXYKkVlJcyncwPQ5FMjtkjx8weEgspSi+LrulAAbXzUnrQDpXXa27QtTRwxhJbuk2xJXwjd0R0Yc98BzO4vhXiWz2K4Y8zHttvtE2RPuk7ZFaYRF2HaU13H59cK09dm9PVT5eQpROAA2zCo6DdrLUXuioHqVSO41JRUoJAmE9ewiIy4v2ScGcSXe0ZTyFzRjcWZY58S6ohwfJjNF+AsOBJceeUSKp9w0+nUlxvjamqSgVJQlmVPCfTgIV122lozKtuTU96G5rV0jbv6ojT36c8cVcu5vY42MXGHdoWNxFRVXVLtWH1EJSAlQ6KoBUkdNdX8MdEqslHKty8xas0hu6DAy8172oK5yppULS1kShJUJEhM8ZHjPZt4wl9tHd8vgSz3bHbJHstxtV3fEtxmS9sLMjbQnqlQUD7iNN2pPCS3arWh5xxaFJHwnb5RFKhu94sSlqYCTnABzJmMO0Y4mCrnHqBchXKE6u1XWwWdrr8sNClLQjr0FSE/oTqa2+CFjtgC+WVkfaUT6JRG5fLzd1ZHXlpHBACR1YCfnivDlHm+Vn0xy45Xemb3MQHEtrmvrcQylXUhCd1E9ddCobTR21oNtNoSngIKWqyO0ysySqZ2kmZPaZmIr3jNYDLq0x27fQ/h2tLUafbU6gqFtpmAEw/0dAoJ7yleaBfeszmuhxLDEfqSKpbUPfoU4ofCBB+mokpxM/N7IHbl+vLjqtraCCr2pXQA/wCkNUzUqThKDbdKjLMGMBdvb4JEdtVfbtUaj9OtF1agN0SJabB3w2Ls5eELIW0lO4AD5VeB+/VJyrUd0EqdtBEOHAcJyTPrvDx+ywHrlc7g6lqNDjNlTrq1EDp1+OqdRWppUFx0ySN8eq6lqjTmJAA4xOjIPTL53sXH1zz/ACGzx7PbLbG+pdjSHgqWlsCvVANR9+k9nXVFX1ApmlFSj5ICI1aylSUgKkTIKlhMxXUjH02y5rYkoUUsv7HUjoVBCutPt01FognbDgqqDiMIvk7JL/2z5DEtuCDiyNcsnkWx/wCrvFwo7sfS2eqQQf5wrrm2q7bXUyTUioISCO6I5Jqb5ymUpxa+5uAMVkdzmIwLHy5mEW1w0RIbF1eSwwyja223UmgHw10q1pz07ZO0pHoh107UKqKVBUZnLEiOxjI8kY5JsNlbus9u1qkJKoaX1JYP+j92vXplPyazIbOEBdZMNlhbhSMw3xNnuT4dye/5ZecthxPMt0VtHnu0O6qRU+ynt0U0ffGE07VOT3iITLFdG2Gw2dsFJ60SHO26BHjsOvP7NgbaQVqKgkAAACvjqtbH0tXtzMQBLf1wO5wNdNWEYbrbZVr7b22Liw5DfUKJbfSW1VNadDT36koapNTfFlszHREzSgutJSfpIw7+1LD8fwqzSsnyvKLXDi3Bht1LHnpDgFCaGp0H17c6m8OJpqRlRKTtlhHr+8axYbSlWHAQLe5Pm3jz+J7aizyY97iW+Slx0IUlaFbPiKjTTo6w1NJTKS+cqleWCmn7K/kVMSmIZV+795duxlOPYpZ48GP5BYUuu3xFCelDrLPh1StvfMPqK1zguxoTmqzOKJ3xBq48y5VdLrcLk1dJMd+a4tTpjvKQk7j4dNPrbaEpCAkSGzoh5YsjLCAgjZDCut6vd4fS5LlSpC1eKnll1RKvtOt1nASgo1TIY2ACNU2a7LbLzsaQGVp6OFo7P00GtEuzMgcYkL6JyJEG3i/t6vnIsSTMiyGmWmBvIUfmJIJp7fdoHcr63ayEuA4mUBbpqFFvlmnDowjAbPjWdfkmUMGSlt/yzUdCB01dq1rqafmM4YRQrbmuoZztmDRyzgNqs8q03XFbeI6dzKyoD5BvIP8AJqhp4uViVJcIJEA7bcVvpKHTtEHiBjt9y3CYCnENHyEt1p40QBoE883bKpSYXnapFK+RBAteLXCFb4jzoShmO22FK3hIFB+rVJdchSikbTAp58OkyEb711wtuG+9Pv0Nl9lKqtrkIBCkfDWWaWqzAIR3Y1apXlHBJiP03uGxfFJlxYgOx5DhK0pcDoJJT08dumo6TNYEqdVhwhma00uqSnPEesm56vV6elmLMbYYkkgNCR0or30T92mmmtFLSpGAJEMVNp9unlMQz7TjOS5csymYy5CHFV80uFSTX/ROp3LnTU2BkDF52pbpMJyiQmI9v6HIzVwuspplSKOKYqk9Emvhs0r1ursqsrYhZrdS5CUJn1wWJNhw+wx2WY0dpctISitEkqV/V0DNxeqSStWEB0Vjr4JUYZE/H914amAJjsKNVUokFI6/0dVnrihLZAxMWU1ZUiW0wzs2z7C8NYeL85lyU2kktB0biqhPtHvGhHzDj2I2RboaB6tIwiMn+MC3fmf5b9G39B/Y+ZvH4q+NdtNZyHbvhk/pBWTPPGE7AuwnuDzdLH5LwzyG828EKalTMWlWmAtKvApkTEMMKH2L183XXxWp6dRyuA9Xe9E45Ca+6V5/01K8scQgy7FES88Slx/0cO5rIYynrhZcTwplCFurVlOTNOLDSBUkItiLiqtPAGnxppc/3hS2SrItXYPWRDFbtO398ZnWQ2NveWn0JzRUTyLgUvEbvdbPMQlMu1zpdvlBs7m/OiLU2uh6dKpOu06d1CLk2lQMwRPyxnT99Tc2wsbxOAs7Hc83ahtxVDT5Uk109J7w64aQoCH7iNklS5TKfpHyCpIqWj7T8dKt+WtCCQDsgXeLgimaPeGyOqT0buGMKZwvO+TbnjsSXmsTIo+N2m6T4yJDtntLUNl9z6Xck+SuQ4+Q4tPUhKR4A1+R9Y1rtTWFtZ7oEwOkk49kpDhjEXha2xdl1FUpIUpCglJOOXCZl07MfrjJ3X+o1zVxLyJmOB4hZsYhxceub0GNcn4C5b7zQSlQUUlwIBAVoJYrHVXw5sxCSTKQ4GW2Fe/+J10TcH6JhxptLa1JHcmqQ3kklP8Adit26+ob3P5vPWzc8/u0OM66QqJZmW7WxsUfAbAVDoenXTbcPDdbLRKs5w3k/VCzdLpcKhv86vdV1Kyf5YQPNF8Hp1ZVfM07drteshuM+53F3Lr+05JuMlUuSpCGI5A3rUo0G7oNc7RQm2F5pW4+qOueEL6qm1vFS1K/NViSVH3U4TM+McuvcNj8pzlnPdkRYR/G2TUKU0FFTHj8ddc0g04KVAl8A9Ecg0/cGm2cpV7uHV0Rax6NVvcg8xZl5jSm9/G8pHzHxKZ0M6WdWNKafbJ4n0fVDv4cVwqr2tIM5MK/EmBH6rVt83uRyRxSahdhsZ/tQgGjZr7Ro14fUCHypZGJcO/oELOo6pVPqKuE/iR/lIiqfFbZGTdUFQSCFnxfrQn76a6ve7e02ziBsiWsrV8vDhwjqt48YZk+l+I6qFhXD2StKAVUbAZYPXXzs4gIrMu4PD8UOoUVaMdVv5az5FmOSrkewWt6c+nY2VE+13x8fjr6e0shtLQnAnTlyeSBCPgeFwDPaKGU/iBqHDQfrOr19qGWUGXCL19vTpTlmenCOrD0rrc3B7c+UI6EpSlzKrg4EAle4qtcVH2/zdfMep6lLtWuW5A9KoseGz6qykrlqPxS/uSh5diGNu2jO+X5qbZIixZrSAmcqM42xIcbkyiQlxQ2qI3dQDoY7W/MhAn7oPohT8EmHEVNSSDl5YE5GU57OG6KWu52+R7PzpyT5bMUKRlt2KlUIO5Th8aGlTr6c0u4t+iakBLlp9AhFTSF5x4EmXNc/GqLSfT/AOcuIrj2+Zbx9mue2PFLy5eLqZEa4zW4b35dcEN7HWQ6oJcFag08CNcw1taK4XEVDbKlJkkiQJxHGWMdH0nVW6jt1Xbqx7lB0nE8FJAMt08NkN69D04+NHHJV+yyfyNc2CpwsM3Myo7rnjQIiBCP6x1hlnUFxICE8sHqHpmYCtUmnbfg38zUkYSAyJPaQgf3vPAk5E9SrivCcIvuDdu3FkXGG7uy5HeuUlKIrKitJR5qm0ErdUE+G4jTbYvDR+ofRUXB0rykEJx2gzxJxl0ASgg5cnaqncorfSppmnBJSsxWspxBHAHHbmVFNkjM7ncprstaWyt95x1ahWi1uEkn9J19D0NsKkgECK7dkZp05ZnZ0eyDpYeeeV41ljY2xneRxrLGbLbFvaur6I7LZ67EgL6Dr4autaQYcWV8pObjlE4B1tjZVOeInOR2eSGdkuR3Welb024zJjqwSpcmSt4mvvKiTo6nT6WxgImttC2yrAD0QHJk6St6pKindQGtKalZoQycYc2UJCcIWIFycbIBUfwigrUn4jRplaUziq8xnwhTkXmU4yUkqKent60r7dWlVPdlONWqNKDOGdOQZAXurU/ePfoc8oKAOyDjJyYRoRMQeubqQ00t0qNEhCSpRr8B8dBal8JJnF1VaGBjBqxPtS5OzlSG8bwXJLsXNlFsWt0sjd4ErKQkfbXSzcNUUNtBL76E9oium/ICsqTM9GPohqck9tec8S3hm2Z3jE6wTJLXnx25rO0Ot160I6Gms2i9U17bLtMsKTPaIIsXgOgpnIjaDgR1gyidXa32v9r+WY5a73yryC8i9XKYiO3i1vWhhxtalUSFEhSvmPsA0l6oud5ZcWiiYTy0pnnUfRKF+v1Iph0oUVJSJYhOYn1DzmBj6ivbNx3w7llih8c296LaJ9pTJo+55q1n2Enp1I1JoG7VF9oy7UEFYURhswg/p+6rcedaUvMlJEiRIyIB9cV28dXi/wCCZFEvVgkuW65wnt0aU0aKbVXxA06v0aalJQtIUneIZ6xtFW2ULxBi+zt9zzOeVe2TliVmF6m3yYpDjLP1K94QkI8Eg9Brll7oGaK8UqWUJSOgS3xyS7MItr6UtYCYJ8sooz5G4lyqxTlT7rZJtuiz5LzsN+QyppuQ2VE1SadQddPZdRUEhBBI29Edbt90bqEhIUCeuJpenbY5DPMdvC00BhSRQio/CRpX1u3loFE8R6YWNbVANPLpiVHcr21YjMwXOuRX4zgyAXmQEOqVRICPYOnXw1UsN2deqkUs+5kHohc09qB1t1tke7Ag7F+BMim5Zbs6cct9ux6DJSXpsyQls+Wg/MRUjwGi2q783RsqpkpKnCNgE4NaruyHEFieJiybuTz/AIzwnB8ggs5dbLldbg2pIjR5CFqSvaenQnQPQdtrqqqbfeaKG0jaYR7baluvp5YKgDtkQPPEHOOe+6z4NhLuLzcYiXdxlalR3XkhxuoFB0IPu10G7eH7V3qvmecpPECGur0e7UrzhQE4jxzT3eZfyvG/K0RGbZaUq/dRYidgFPAdKDTLYtM0thnyEkk7ScTDPZ9KNWvvkkqiOzWYZpJifTfV3NUYVCWQ8oIANfZu92mhhlYJ7o8kMvyTO2Qn2QmJg5DOeq4xJUVEjcoVqTT3k6n5Tk9kWc7bYnBCtnEmW32P5se1XJ1sJBK2o5KQj31Pw159bTZk4sDtHtioq7ssbVCDxw72nXHOprqZUpy2Roy1CQ6+EBSQkiul7UGoGbEgHFSjKQEBrrqwUQmBMxIfOu0fEuPbRDv8a9G7fTKQqQ1vSpCtlCdArBqt2+vKZW0UcNkAKLVrteooKZT2Q+rjY8LvfFHm2rH2UymY9N6G295Uke/afHUVG29QXIoccmknfFJuodYqu8rCBB29yZ0PJ5VnbLsdlxRR5JcSB1JHhSmmXWSWvl88hhF++KCm822Hnn/H7lvz6HORtUuU8hZqtNRU9a/LqlatSNO0Cgdw9UU6K4FbKhwg1citYra8Lt67xNjMrDTO+shCFVCfdTShp+6POVLnLnlx6ID0DjjzpyiYmYEF07pOMcGwpduttxZlTg2diBKQSVfr1dVYnqyq57ywE8ILNaWqK17MoS8sQnyrvjyqVDk222MgR3FrS2sP/MEdf83RxNJSsLzhMz1w5UeiWm1Zj0RHdvlHOMkkOOIFykeeslYaeWtuqvZ4aMtXflbpQyC2sU4xlDzg4dn2QQHbmI8hlkJ3uBa1bwAOvWldROag72U7euKy7jTsHJPZugxYDxjb7xaXXp0p769hYKkBZVQgDp46GVNe/nxOBgLcbsppUkjCJgcbN/kFsbgNtEgKUApSep+3QKtTzFEkwk3JRqVZiYIMp5yMkyZL/kRSiqypzalIr92qaHQqYSJmBCQVqkNsBXPuTcPxtH1aZ8eW+2pJKEuA0IHt0QpqN14SVgIYbdaXqrukbYiByJ3I3i/7YmPtLYQlBQC3Un2+7x0QRbkMAw32/TbdMZuHGI+OYFn/ACHJM2QJimnVVUVBdEg+OqFU8hvu4Qd+eYt8hMRv/wCHKTTyPNc+r2+buoa18KV+3QvnGU90af1Iic5YR0Yj1Mc4yhYax/GMcx9l00aedWu4PpSfAEEpR0+zXx1qHwqesaDJxapdASPIB6+2PlO5f/sPelmTLLDfYpXnKgP7sWf8I5heOQOHLDll+fak3W7wLsuW6yylhtZZekNJCUp6CiUAa4+sLZS4heKkzHmj6Z8Pb6/qiyU9dUkFxxKs0hITClJ2dkcmPctxHaJGe5pJAeJcyW8vKSlR6+Y+4T4Hp1Ovr/wxtbbjLYUo4CW2PjOyateszi2USIQojsBI+qIgu8XY1FXvV9YVA9UJcAoft19DN2thlABJMdNotZv16QUlIwh1YtYsdgXCM2iJMWAsAFUjru6+2h0n6opmA0rKDs4wEv8Acqx3AqTl6sY6e/SoERHEudNw21tNjMIylBxe8lS4LIr9h26+HtZSFxUB9kfiVHS//wBfipVJWZjM84fhin/1Dp0eN3BcoNfTuFxN7+ZSV0BUplo+H366T4Xhs07ZUN3rMcrvDCnL/XgGQ5yorfsV8Si6pAYdIK0/zwaH3665qKoRyTJO6D9Xa/yx3hs4R1a+ljLE3tguqwlSNuc5C3RRqf8AqkM/t18h6jdC6t8j6YR1XwZZ5NreT/11fgRHO53E3dljljkBtTClbM1yVs/MB1TMdB/l11PSVUFUqMPhHoEcKs9tW4XJH41ekxZN6P1yblc35Q2hvYTxrc1GqqmiJ0Hp/wAbSdrSozvNyG/1GOh+F1Kaa9rmf8BX4kw1PVHxh+79xF6faaK0rsFnQqnvS2oDoND9H35NA4tCjLvQv68dVbtQ1To2Kyf5aR6orlwLgLkHJ7kkYpg+VZIsubR+RY9Kug3fFTDS0p+0nT1edXNONZVLE+uK4uT1zRy6dtalHgCfRHSTAslz4x9Na7WDO4T2LXe18U5RClWy8gQ5jEmSZZaaUhRqFOb00T49R01yunUat9Mhip0S+97I6s/TuW/SLjVSChZbUmSsDmUohIlxJIlHIFmM6PJujhBB+elQa+06+mrGyttoQHtDLiEzHCLXezjHfTatHFNpzLuD5Cv925NlS7gLrgbH19tg2Zph5aY6G/oWELkeawlDhc+oIqrbtSQdc/1ULxU1C22WyGh7pGXES/aJIx3SiZQt4B+e56lzPcQkyI6VSl/eHrietu9T/tB4FsMzFuBuMbom1vPqkuIoLbEmy9qWy48uQ66+4ShKRVQrpOb0dX1BJUBM7SSSfMJRLRaoFmQpq124oCjM8xYE+vKXD2TERqzv1nuQ7gxLh4NiuJ4jHdS602vYbi+224CAR/ZIB618NO9k8MQ4QagkjeBJI9sVai93+sBSlTbKTubRiP8AiWSP7g7NsVGZ1yzc83vd2yS8zlTrteJsifPkGiS7JkK3KNBQDqfAa+h7RaEUjYQkAAADqAEC7Zpj5SQMz14nEzJJ3knGGAxm82Oohpah19iimoP2HRRy1pc2gQeVYW1bQIxv5vPeXsLjlCSCkk0J/k1lu0JSZyiVNlZQJyj03dpUzYVrV1PQVJHXR6loEJiFxgNYDZBUx+AXWmj1JISTuFSa6a6OnEpgQt1z8lEboKFttCxsSEnokVFNHmMoPCFqprJTnH7fra4iMslJA2e2ooetNS1RAThG9tqA4rtgRPtneUq8N3T766XH3Mhh4YlKDNxlw1nfJ836HCsWvWSy20o81u0w1SgwlXgVqA2or/nEaVL1qinsgzVLqUA7JnbFR+qKVZEgqVuAEyewRKLLuwrnPB+P7ln+W4/HsdptjSHX48qc2u47VED+zQVUp7RXSvZvFO3XqsRR0yytZnjIgYY7Yhql1NuQH6hlSGyZTIlj1bYh0nDZC3yhSDt3AE/DXUFEuJnFkXJKeEot+9PrhfBU49nHIeTY5CyO54y2n8qjXFsPxGTsqpWwihNT7dfPPizcqlurpaBp1SEunvFOB2xRarU1PzDy050st5gknAknfLHCHfeu+nNxfY+O4pj9ixa3ouzNvpGjjehoOhs7QgIR1Hh01Za8JrdStLdezurykzUrfLhAQagrngA26GhwbQEjymZho+pxuucfjS6SB5kuRZEOPOkdVqcQlRqftOofBwBDFSgCQDuA7IZEvqfrUuLM1GnQSeJM4rM4UDv+0PFUgfL+e240qaf2qddWu6f9K7+4fRF66kclU4tr7vu3+5c+ciYfjsCYzb1NYqZLkl1O5IQ0kmn364norUqNP2pbqxP84gdsoD0tyNuqVACZKUSGz4fqiivL+LZeF5veMWc/vcm1XJ2BvaSSXlNLpUJ6nrruNNUJfaS7sBE+qOgUd1+ZZDm4iLvOxbjfJX+CM1tarJMZeuMlX0wlsmMl8FNehVt1xfXd4YpLow4ViSQZyxl5IRbww7dXVlkZsoB884DXqFY/b7HiGAWd9NvYuMFuMzMZYcbLjZSk7q06nrpk8NM9cah5IOVSiQTOLGlwpipUk7ZfTyQxe3nlTtX7f7RAzSTMmX3OxHIXE82jDa3EgFO0D2EnU+oNPXjUC1MFSEU/HeYJ1lLXV70uXNIOE9nt88Cjum9QVjlTH52I4tjkOxWeW8pbrgWEuuA9CTTxJ0b0xolrTyuYpxS3JSmdkE7TpVTTofclPcEiQHGID41zrm9mt7lktmTzodtWpRMePLU2n5+h8Dp7pqRgrzqSnNxljDc9ZWnjmUgE8Y052Yy726pc6XImLX1K5Epbi1E/adMCcpiwmk+XwCQOr6oxtMtPoW4EpJoDt81R6n4V1bSECJEjGFq2tshxDakMbjtSAStSqmo8K6mQ8hBid0kCJ88N9qmSZ3bod3nOwbLaZIaU3IlVbLiFdajcQPDSdePEentKi22krWNoAhJu+pW6MlKTNQgyTO2m04Dmtggzp8a7QJTqVL8seYhZ/F4g9fDVen1+q8UbjqE5FCBH9QqrGlFIkYlraM8wbHb4nArVjduCkw9rryowUoClKj7zrn9RZ3q1gVzzys09k8IV3qV2oRzVLMuuBuq7It0bNHLWhuId76keS3t2kmumFTnNdp82OEXiS6Wwr6SgR5NkF3uHGL1XVPPPFxICk71Hd7vt0VpXw1XFWwQWpWUIqZbBBR4TssxjjR5/IjFjM+UtxKZG1BIIPsJ0qahvBfrkpZJJ6IoXZYNQA3EcrJytxfx7m98ut1nRy9HkLLLTe0tkoUfCh00Xajq7qwhrNIb4YXLTVXBlKUDbEfebu8JeR35MzE0hhuKaNObaV2npTVq1WVFsY5Sjm4wxWfSPyyPzcSYifmfN+fZyEsXO6yHI4+VLCCQmh+A0RbZRTjuACGuhsbFFikQMXLdeJam/MYlbXFABx5CgkFXxOvc3NjPCCnMbbwTB7tPbjfJmOMZI46FMLDayhKgflV+k6E/qKVOFuWMAKnULbbmTfE4OFcDw/H8cSZ9qYkS1pVVxxvcdwHs92h1Yl11zBWEI15uLtW53TIQ/rLZlXKTd7db2ksw1Jc8tCUAJSFfZq3UvopQlStsDn6jlgFUZeP8ADImOyrq5d3WW2kqWujqwlNB19usXCuVUZQ0PNEdfUqqQAkQiZdzhgOLMy4cR5lyayVhAbUCN1D11NTWp5whSzhFqisb9XIkYRDnLO4TNsoDtrtoe+mcUpDIaQarST7gNH2be2x3gMYcKSwMU2KsTDXx/iXkPNpjK5sO5CPIcClvO7gjqfj4a0qK1LPXFqourNGDIifARMPB+1u1Y8Gpd6SmYpSUrKCncAr29fZ92gD9xVUYJwhOrtSqfmlGEGGbhsS1QyxZ4TUdipCiGqAA+PXVNtGYzWZmAyKsunvmZhn/w5Zt//WWvzHZu27k7v5fD2ak5Lk55Tli1zF7ZGUV+8cZLePqWAJ8nbVJ27+gKSPZSmkLXDPcOOOMcE1Va2KcKyoGyf04R139kkh2b2q8dPPLK3VwMhQtZ8SUXCanr+jXwvd05H6gftH0Tj6d8G0gaapQP+p/mLjnu5b49ynO+ZLxi+PodlXTI83k2W1RvODKHZ1ymFlpJWqiEArWKqPQDqemusaV1oLTSha1yCRM8f7Y+PaRkruSqdtvMtbxSkcSVkdG+NHut9OXlbtt41s/JV+zTHMgizblGtN3tljckpftE6a2tbZQ4+02mS3VtSVKokgkUSQSUvem/F9V6qPl1JUjAlJJBnLiABI9p6THbLrpV/RDbDtWGiHV5O7MyVlUvGYGEkkTE8ejGK0LSJka7NJckvGjgFS4R7f1a6BdbiqqYUc20RBcVoqWZyHkjqY9IVzzOIeRQtSllOXwV9VVIrBbH7NfJeq1kXBUz8I/EqHHwKSOXXj/qpP8AdMVi9/8Ah0i59wnJshptSkvXpKqhNaEMtD9mj2gtRookBsnET9Jjj2qav9Nv1dPYXT6BEG8J4QzHJLv5GNYrkWSSkuoBj2KzSLu+CfAFEdtxQr8Rp+v+tmS2QpYGHGJlXhy5Dl06FLUfsgn0COn707eP8s4o7d75as+x66YdJVll5vDUbIYqrZJ/LXYUNPnKbd2rbSVtqFFgHprglZWfNvOubjL0R3zwqoKi0Wt75xCmjzCrvjLhkTjjuwPkjlp7mclgSOWuRJMGQ1IivZxlL0Z9le5DzK5rxQtJBoQpPUHXdtFWhXyzYVtyJ9Eci03TmoQVpGClKUOkFRIPklEj/Tn7uMH7cOZVZRyA1cF41eMXueMTpFsaEmVbVzHoz7cjyqgupSqPtUEmtFVANKaH6z0m/UhK2ACUmcuIkR64abQ6dM14rFNqUMhSoJlORkZiZAmCBhMYTi3TkT1FuxCRe3cxj4AnkrK3W2QLpcsZb81IjijYSqemje3/ADUjXMmtE1zzk+SATtJVPzCcEbtq611D6qhFqW88QO84EJGAkPeUoiXQnqnEX8/9aPILcy7C4y42xLGoraVNRH7iozXG0jwPkM+U2KD2BWm2h8NqhwDOqX7qQPOZxAjWl6q5Jp2mKdEtgSXCPOhP90xV13G+oLzx3BwlWjN8vdXYUuKcRYbTGTbLUVjw3tt/M5T2b1HXRdPeHjdvUHMpKuJMz58B2RkWisvDiHa95bpSZpzZQlJ4hCUpTPgSCQN8V4XO9PvvLX85NSTQH4/DXV6W2BpIkmHmkt6WkSwjVZyCYyPkLnuHj1p92t12tK9qYmVb23DjIx8u/wBzkKShJdJUqiflIOstWpIIAEbpoGWRMy8kEGxY5cri2h19Mg7huISkmo+PTTdQWEcPNC7cLs1TnKmUFe0ccKmlKFtSPH8QSQPjpqpLMFYAGFKt1PyJmYEPyHw+ygpAjSXyoj2Kr/Joh+jJa2iFt/XiNpcTG/M4TUEBxMCWgihB2KCf101RqqZtgTiCm1+hxWXNONNvjF2IATFfASfiKfr1Qaq2dgMEFasbdVt9EErELDFbeajvoKVlSEJ3Eg9emmGkqUAQuXy7ry5motM4j7A8/wA0s1syW4tWnG7Jc2WpMaXeLiEOuxnOoUlpNVdR1FSNcc1J45W60VC6enS464kyISMJ9Z9QMQWzQ11vzSXzlQ0rEKWoJB6RtPmlCP3ddnVv4Jw+x3lrIDfpN0eLMlDLHkRW0FJUCg7lFXh4k6k8PvFZzXLryHGg2lEpYkkz47BF676bf0M8yhboc5oKjLYACB27cDhFSN3gMx5hSEEJSrpVRqQNdZSBUDohvpHy4ic4mJ239ynInB8C72rBpMGLGv62XJi34QfkIcaTtBQuoI6ew9Nc91Roqh1E4l2rbzqRsxIGPEA4wIuNRU0JLtM8pskSJTLEdoPmi45OWZPyp2SX2+ZTMdut6uTk3zXVpCKhtxQAAFAAAkdNcIt1G3a9XtssICUhOAAw92J6uqdqtOuKfcUspqE4qMzLA7e2KdJmBX2KrzzbnUsqIAcI+RXX3+B19fUys6JAifZCaxeEjuqMWl9kNpmwuKeVI8lkocda+UFQNaoA9nxOvmzxfBTe7fxn64Y7I5z6W4EfyR6VRX05iFwVmrbzrRSgZEhwneANokVHt9lNd4fYJp1T+wfRCzT1ycNkpRMH1DLIxNx/i5x4iibUy0qrgT8oaQfD264x4KDmIrArc7DvUPGnqWANhpm/+aIydtHbDmOYXey5nbLbGi45Bucd926z5KI7SxHUFHZuoVU9+mzXGtLfY0LpFKKnikySkTiSoW9cAW2tgwJOAHWTh0xbhyJlPDfHt5j5plHINmiz7VYHLaLemW2tbi1J60G7cTUe7XArJZbveKYUjVMoNlzMVKwAxixWN0bdQHmnuYvIE5UJKu8BLFWwbY51M753w+yc6XjkO3Rbde7eL7KnR4k6i2JCN1Ukg+OvqNVpQ7RppXFkHIASDv3wwWuzPu0iWlTSqUP/ADn1WeRpsNdsxmTZcQtwb8pti0RkoU2lAHh4D9Glqi0HZbYc5b5iuKzOL9Nox10SccWU8B3R2y2xXHyd3MZHyLPenZLlM68SVKUpK5Lm8Aq9w8B92m5qpYpUhLckpGwAShxtmlk0CZNtgCANNz5a9xRMUag9adP9/UTlek7FQys2mR90Q03ssmTXCkPuLr0I2H2/dTVRVwmZCCTduDe0CDFxvgefZ7KRFxizXW6uuKSlIhwi6kKV06kD9OtF3lFJ3nVhI6YD3Cqp6L3yAOmJd3bs657w/FBmOQY9Kt9pSgqWp5ADiUUr1FPcNR27WtLcXww06CrbC0nUlHULDYVjEr+0Ti/g3KmRFz25ypmRPBSWICSEpSseHSnXrqnqy53elTnpiAgbTC7qO41NKRyxJPGAvzjgUDDuV5tpsSXGbY1MYLDfTogqTpxslU7V0aHHFTUUmZ7ILWi4qrKcLXtiemfXu8WHAONo1tnyYTDzdtQ8llRRvSdgIPh79LOmWUPP1KlAEzMIzDSHn3SoT27YKV3krkzcCW6suurS1UqNVqUoHVGmOViowwnFBpOXmARoP4hfmuUncgcgvM2tuCSuU4NjfTqep+Gsm807lAlhKprnsiVD6DTZDtx9sMu08tcXWu+5ZaMzu7LDJdUnb5gCVlPsr9urdxtFa4hldNIKHGCS7NUuobU0ieERb5z7nMGj24Y/x2EuNsuLIkCu0kdBo5abQ5TEuVK5rIhpsumHirO/tMRJv/c/ydd7Wmyt3d2LACPK2MfJuT9uijVEwwrOlAnxhxY0rTsqzFAzdMAKTKvN5kuurVJlvOLK3FfM4tRPjXVkvE4bIOBpum7IIfHHFl5z69M2uMhTW9e15axtKf0+Gq9VVfKIzGKFyuzdEnNhsibkvtFs+HWaLfpM5E59otuvsVBBPiRoFRXpdxcLeWUIydWqqllKRKHXm2EY7deO2pNjsIblRkCrzLXzbkAdSdTW1CqeoKXFTnuirR3F1p8hasOmHVwhiVzyDDZECX5qWmAlPzdAAkU9uobxUIoHhgJmKN6q0suzG8wV4mM2yyWl36m5RmhF80qS48Ek7fv92qfzDrzmCMDAsvLeV3RALkdwdgwuVcosVDEh8qdQlxKt+4/dpgGnVVmUukwwDTzlaE5jIRF3K+YcqyebKXDkvR2ZSlDa24oV31FKCg8NMrNtaYSABshqpbM1TJ72JEfuH8F5dnjiLguNIcadVucdWtSiR0PUnpqtV17FGcqjIxisvLFCJEifZE3eP+2nFbPDafuTVbi1tXtUa0Un7QSdLdVeXSruDuwjXDU7ripJ92JHW+1xIMdu3xIzTSWtoSQkJ6AfZoctWOYk7IXXKlTneJMIN5yGzY8y6q8zm2QEKKN66mqdWWKdyrxbExE1PSOVMsonEPuRO41ppci1WEl4LKkJW22VqNenu9umKlsqG+85thwtunCJLXEb/wA7z7z/AOI6zvK87ds8pW3Z+Kv+46v81n3MIZeVT/wsJxH+1ZDcbMtK4CmW1I8CtoOe2vtOviq5a4r7qCHVJkeCQI+SK+oVcv4nCWGETr429Tjut4owi08e4hf8Pj43ZUzEQWZ2FxZ0pKZ7zj7m51VFK/eOqp8Nc1qdPU9Utbis01GZkeiXCHHTniBXaXokUFMGy0jNLMklXeUVGZChvPDZAWid3nM0LNIefMT8fGRQL8zkkZ5WPMqjJukd4PpUWvwlIcH4dRf0zShGTvS/eMI1KkUdYmuR/ES5zBwzZs2zbKe6ezfBJ5q9RPuX5/w04JyNesUm48Z0a4lm24jGtcn6mLuCD5rZ3U+Y9NXKCztW10PN5swBGJ4w4ao1tWauabZqggBtzOnKCDmyqTvJwko4RCQzn1SPqaoDu7dUIomv2adBqWqCMk0y6oBi6u5cuEuqJg8D9+ncR24WS8Y/xjecbhW2+TmbhPRd8Xj3d1UlhsNJKVuUKRsA6DSdcbW1dHec5PNKWBlhMn1wX0vq+r0iHRSBH5hBVmBOIEsJEQpXDv8Aearxkc/LL1jnD19yC5yRLmT77xnDvXmSBQBQalLdZQRQU2oGhSdJUiDMZ/vRqvUqXalysco6VTyzNSlIUqZ6lLIGzcIKNv8AVn7v7REbg2i6cbWmIygIYjW3jO3RGGUDwCEJSEp+4akGl6UbM3lHshkY8VLjSIDbLbCEjYEokB1AKlA55K9SLu+5VsM3GMm5OTGsVyaUxOgY9jsCwfUsK8UKdjx0v7T7QF9dW6WxU1KoLy5iDMZiTLs2eaFy9azuWoElupeJaO1AASk/vSAJHQSQd4iBdxiIurq3pjr7jjhJWoO7dxV46d6TUlTRAJbyy6ohpNUVNEAGwgf8MJ7dhgtdUKkj/Xk/s1YXq6rc25PuxbXrWtcwVk+79cbqISECgflU9xe/3tRp1TUoxAR92Kh1RUncj7sar9liSa+auUa18HyPHU41lWD7H3Ytta0rGfdyfd+uNJWK2hQopEhXxMhVdWU68r0iQyfdica9r07Mn3frjEcOsavFl8/bIVqQeINxG9H3frjb/cC4cUfd+uPP8F2L/oXv/wBQrWT4hXE70fd+uMp8QbgnYUfd+uMzGJWSM6l5th0rQap3vqUK68nxDuScQUfdjDniBcHBIlH3frh9QbvJt6EtxkRkpQAAFs7/AA+06JN+LF3b2Kb+4PbC8/eqioM1EeSHHE5ByGCaxzBSag/NDCvD79W2/Ga+Ne6tv7ggTVTrPfJ8sOONzVm0Q7mV2gH3rtaF+H2nWr3jJfHxJTiPuCBJsjBM5HywuJ7iuRKBDv8AD0hoeLTtkQlCh7jsWhX6DoFV+Id1rBJToHUkesGJmLY1TqmJ+X2Shwo7pc1RapFo/g/i1bElsockvYb9Rck1/nIkOSVOoI9hB0upv1wQ6HRVOzBnKYl5JShg+ca5Zb+XbxG2bkx0j8yU+yBOvkvJlveeFwG3ArcC3CCAkj3ddNyPE+7NiQWj7oihMyynEQeIffJ3KwbXAszXID6rZbWW48OK5EQUtMNCiUbhtUoAdOp0E/qt9KlLS0wlSjMkNJBJPZFd5gvpyqccyjYM6pDqE5DshX5S79u4fmOwWvGs4u+MzLXaEtohohYwxAeAaRsG5xB3K+X36Eaduj2lnHHKRUivbMA9MMV7vz1+DIfCfyk5UyB2YbZkz2CItTMwu85zzZH0hXWtUsFHX7lae2/Fm8NiQU39we2I2L3UUwypIl1CNmBnd+tqwuKqIkilN8feOn2q1q54r3d3apv7g9sa1F4fqRlWRLqESesffx3EY7x0ri22XfGEYksvFUd7F2HplXySr9+o7/EnSUu81C7iLpm/PG+QlslsjY3l1VCu3kJ5alBROOaYlLGct3CEy/8Ae9zjkeOW/Fp7uGN2y2BP0yoWIRok0lIpVbyTvWT7a+OiNq1hcbPUuVTTxK3NubFPYNg7Io1D6ahptrloGT4gCFGf2jMzhSwTv37iOOLVd7NjF4xpmDexScmXi7ExxQoB8qlGqfDVe/6kq9S1DVVVKBcb92QAHaN8W7fdnLa260hKSHU5VTB2dEiIZ8Tu55aizvzFacTmyhI+qSqdjyXm0vBW6uwOpT4+8aMVfiJeKxBQagpSRI5QkeqKVO8KeXdBA4z9RBja5Z7zOdeaUWxrN71ZXWLQ15MCPasej2xplAAH8wEnoB4nQ7Teq6zSiFopCnvmaioAkmC7+oX33Q8QkEJCQAMABsABJ4w0rX3P852SwjGLRn91t1jBUpMCIltltJV40IRu/XoorxBrlu85SGS59otpJ88VV3VbisykoJ6vrgYXzPMuyRxb16vs+e65Xe4+7vWqvxOrp8UrsrDMj7gEFabVtTSSCEtj/h+uBzPskW5EmU7LWVVqUyCjx+waiPibdT8SPuiC6PEm4t7A39364QXuP8efNXUzVGtf+uKFa6jPiPc1bVI+79cWk+K11RgOV9z641RxlioNfImH7Zq6a0PiHcTvR9364m/3dvHFv7n1xsp47xVIp9E6rpT5pSyf5da/7g3Hij7se/3dvHFv7n1x6b4+xdpYWiG6FD/2lZH8uvDxCuI3o+7GD4uXg72/u/XEq+J+4rkXhOyqsfHgxu0sLO5U1/HWLhc1H/y7wUofcNArjqCpurgcfUDLdLu+SF24a0rroczxSeyXrh/ZB3tdwWVY9OxfIMmtt0tNwCkyGpFjYDoCgR8i0hJT0Ps1LSakqKB5L7IQlSdkkiUDmtQPsqCk5Zjo+uAnhPKmW8f3xnIscdgM3JgktrlQUy2QVGv4FGh0frvEq6XBstOKRlPBIgnV62rq1HLcKZfuwuZXzpm+aXRy831uwvXJ1aFqlM2kR17keFAle0fo16j8S7tQoDaHE5RuKRELGsK6mTlQoAdXthxXvue5UyG3Wi13OVY3Ydk8r6BDdlQypPk027lJUCrw9uoaLxEudApam1pmvb3Rv4REjVNWglQKZnbhG/N7suZJrlqeVdLOwuzFJgGPZGkeXs6DdUq3ffrRnxAuTKVozJIVtmkRonU1SicsuO3CFXIu9DuByeF9Bcssipj+UWCIdmjxXC2RSm5KN3hqvQ6zq7crO2lufSgGMMajfplBSUon+7P1xGa53W4XiU9NuMp6RJkLK3nCsgrUfsOmL/d687Mzf3BDI14n3RkBKeXIfsfXCKYbBNSlRPvK1E/y60Pi3eDtU39z64sJ8WbujYW/uD2x7RGjIIPkIUQajcpZ6/1tZ/3bvH2m/uD2xqrxXu6tqkfd+uH5jOdXHFUuJt1qx5/zU7Sq42sTVAfAqX01SqfE27VUpuJHUkCKVR4kXWp95aexMoXrBzDl2M3N67WZFmhy3ySsJtaVMgn3JKumt3fFG7PJCVLRh+wIqv68uNQAlakkfuw9pfdJyzOiuQ5U+zOsO/iSqzN1+416ajZ8S7owrMlSJ/uCKSdWVaDMZZ9UbUHut5Yt9rVZ2HcaVCWFJUl7HmnVkK8fmKtRP+I91fd5pcTm6EiPK1ZVqVmJTPq+uNi1d3PMljhvQbVOx+FHkVDgZx9ncd3uJJprR/xCudSsOOKSSP2RGF6qq3DNWUnq+uBzduauRL0t5c69lX1BJcS0yGUGvuCaU0Zb8Xrw1gktf/bEX2Nd11P7vL+79cMheSXJxanHCy4tRKlKWgkkn/S1P/vRfPtN/cHti+PE66ASBb+79cLkDkK925CUR4tnVtNUqegeasEe2pXrVXjPfVf4iJfuCK7niNdHdq0/dEFzH+7Ll7GIqYdnl49HYQCAhVgacPX4k6FVXiZdaw5lrRP9wQKe1ZV1BmspJ6vrhUX3l83OOeYq5Y/u8Plx9pI6/AK1oPEm6gSzp+6Ih/qSo/Z8n1xpze77myaCF3ezsE0quNZGml9PjU6w14kXRszzoPWkRlGpqlGzL5PrgY3/AJjz7J1Fd6vH1ZPiPK8pJr8EkaLM+MN5pxJBaH/0xBSn17X0wknl/dhvwc3u0B4PtxrW66khQVIhecaj7V61e8YL2/gVo7ECJl+I10XhnSB0JEEP/ENyB9F+X+XjX0u3b5f5C34Up47q+GqH+513nPmJn+6Iof1nXTnmE+qAXrn0Kkfa9Ho+16PR9r0ej7Xo9H2vR6Ptej0fa9Ho+16PR9r0ej7Xo9H2vR6Ptej0fa9Ho+16PR9r0ej7Xo9Fn3ph51jfG1270MxzTC4HImF23smyqJmmEXFRaaybDr7yFxtb7rFZdBSY0hdvlPfSSB/ZPBDlDtoZ2V8tKzKfdlLrUkf2HdHYfButZt1Rcn6lvmMpt7hWj7SOayFDrKZy6Yl/wZxrwN2zWvucxDBMxxnnPNe4jsr7yc0wXNoyW5DnGHbFbuPMgn2RMppCz+XZHlE5KBc4qqmIzELfX6okbU6ghRAkZpVjwGUnsUZYjd0zjodn0/bNH09yZpng+7VW+qdbVh+XTBpWQHeHHFEZt0m9g3gbgfmmPcuE+HuPe3bu4w/s75LxWw3qx8pcYcmY5MtPHfcLmsq/XS4RL9NyaJaL5abn9Ta5sO2m35Iy1HjiOEoUWVKUIgqQElS47QDiSNkwcJDvSGG3GF3S2ohUW6lpLRcm6CoQkhxp1H5b7hUTzC8ULBKgQnIsd3LJIyicC7uFxnNsP7LmMU5MsFuxjknGPUk7rLbnmOWiBBtlsx7JHMO46EmPFjW0Jt0aMZDDoioigMlCP3PyJFPLGVKQdoKwdn7HDDyYQC1RSVNFp5xqsQEPpu72dIACQosNk5QMAk/DLCUpYQMuXlNDsA7JmgpsP/7bu9iS40CA75TzHFjaHFJ8aKLKkpUfHaQPA69/hj94+hEBNR//AOas3/crPxswcfS87kufsP5otXEeK8xciY7xgri3uxyxWB2bKZdvxY5NZ+LMxukWf9G04lnz49xt8aS27TclxtCgapGt6dxTebKojuqO0ynlOMtkMXg3q25U9yYtqKhYpsj55YPdmGHVg8feAV1iHt2Kc9898r8gd43JOa90OQYpyhauxO/Waxc/8lZff5MjArdD5H48W1vuFphXi9sMhUl5CUxorhq6apCVKI2ZWohZKyDlGJJJ95O8TPRhF3w31Lcr/XXGqqKzLUJtriUvOEgNgOtEElKSQASTgk7dkJBa5C7lO4vtF4F7g+/2y93PGvJPPGJWO82nD87zq9Kw9i4ToMF4qXl+LY6iJIu8ac7FhuxfNIVuKwkBO7T+KtKSsqmQNqsJkD4h7dmMYUKvVNyt1tu13ZrKd2oE0trWZSwxKm25FYJQkgkzJ4RHzJPUC7moeS5JYrfcbLiPFSJl5sMftgmYParjwZjeOp86Gizu4rOguW59yFHWWTMfZMsuAvKe84leog4ojA4cN3kOHbKe+c8YXK7xWvLFQ40MiKcFSPlVNoLSUCaeWpBSJyGBOCp74OWe8J4nyf2fenpdb/3I8BcJSrdw5zlb2rNy4rM27xeY55dzxwSopxnDMlillKllB819C9wPybSFGdaUkIJUB3eCj8SuAMGq7Trd809ZVLrKanKW6gSeUtJVOoXinI2uYG+ZG2JjYY5B4P5n7ZbrZLvxnzRF4x9GXuayi33K32643bizPXbBJ5on+S5FvNustxkwpS0mPJbkRGitJWKbSFHdICC3Ig91e4y/xNxkeuOgUTg07cKZxBbe5Gn3FAiZbXkU8cJhJKVSliBMGI+8PcNYRb8p5Z7jOBG5Ujt15c7Je+2Na7PNlfmV+4P5OicX5C/dcGvL1AtTkJCy/api0j6yEpDo/eIkIbiaSAsEbJK7O4rD2HeMdswFuz6epmjXXe140L9urAEn3mHeUSplfViUH4kY4ymQXypzNyX2f4n278cduOQDipjLu3XjTmfOeScIiNW/POVss5hiKuc1q4XwtGc5BsIX+StW1p1MZK476loU866o6GbeAMsNownMceA2S2YcSYXb3qWs0FTW+ktKgyHKRp9xaUpzuLdmTmWQSUolkSkSAkZz3Sf4Lft3JHIPaL3F3qx49YuWeWuBvUlxHk8Y3YmcZtufp4l4tyeLbMtet8VtmA1KuzVzfgTXIzSEPPQlvKT5y3SZEAEE78q/wnHtnLsntJhy066LzXWW7uoSmpqGq5LpSkJDnJZcSlwpGGZQJCiAASnYNkVbdofGGK81903bzxFnEp6Hh3JHMfHuGZMuLJMKZIst/ucaPIjR3gFFl6W2ssMrodq1JNDTUbac6kp4kDymUcP0LaGL/eKOjqTJpx5KVYymJ+7MSIKvdBGIJiQjXfx3Dp5R/IV2eyHiBeU/w2vs7/geAvhtOKl38v8A4aTjn0aW/qUw/wC6C47RP8398ZH1BLmtOYZT3bZfD5PXt3znjDsjxSu36h8uWx8rzOX8ny0ZMk8vJyZR3pd2fvZvJEhOX8WsnYljfc7k/bwq3qzmF33co9r+MckXSCzk+WcOcWcbW+Ndo0a2SJbTrMC5X6ROXEeuaW0v7Le8hhaEuPamcQGiqX2iOkSPpPHbgZYEwyXinb8NKavqbTl536iqmS4QFqaaS2HMiM0wFEkoUozJCDvxDQ5VtHOXI+EcLc28j91PBndLjeJ9x3HPHEy9YvDvtx5ksOUcnRJN3jwbze8hwjH5txhMRcZkhLP5lIQ06r5EUWVCJ1OdsrzT47Z4g7SQCdnEy3bTEFyRdbmLfW1tfS1jSK5psKbmXApfeyqWplBKQEEyzHEiYOGWal+ybkHE2PVBufGvdNYO0S/yPVhucCZyXkOQZRjUO+WdQ5WcXYkyMSsOQ3Ja5DyG5SW3Y6WaMKKnAsISu84rKt6SinvjHvft/ZmfVDaqqq6OnvKqOubo1/rTgLjilJBTJ3uApQszJkqUpSScdxgDB56/JO7XDMs7qe5iN3a2eyccZljWNc1Y4L5y/A4lyLL7VeIljvEWz5vasckXR3E77LZuioS44QSAtpa3UpGqeYFU1KKsJTMzuMvekcCZxz1rU6qK9sPXuuRWJS0oIebm6lhawoJcCFoRnU2qSikpO5QmpIEY+7c9wGecNQOQL73Tcdd6XDGP8gWK1q5Ns8OQrlLjfKcjgXM261XoZLYrRmVriXSJBkrajBx2CVsDaoPIA15cziVZt08T1DvAK3Hoj2vDdLpbRUruDNfRpdT+YlMnW1KSqQWChK0JVjgSUzSnYcCSfTismM8d9uHfp3nxsLxLknmXtpw/ii1cRY7mlibyqw4lO5cu8i1z8mdtryixJdtcRtTsdTqClGxwkGtNSsABLi5CaQmU8R3jKcuI3bpnGLvhOy1aLXdb8hpD1XTIQGkqGbJnmFOET4YzwOVCgDiRDy7be4TN/U37ru0jgDvFj8UZFi6eVb7kF35Ci8WWTBc8zW341YpVwi4jNulmjW1BgTXre3DTHjttrUX0lalqQzs3aV844lLhG3gAeqYlwkOvqlc0rqyp8VLrbrbe0MuNh5auZy0pWvI2pYbJEk5CQkKSAJgic8IPXA3fly93Ad8dl7M+VOEeGb12s53yxlXED3bA1wjYbLbuLsd82XCVLt0uFb493hzrGxEQ9IkF/oGVKQllQQpvLNQp5SUKSMpMssgJTkMJCYlx2w1WHxGrtQ6kNhq6dhVAt1xnkcpMkJRnkQduYBIzTmJDupScYk92n472xccdh3dl2084XJq6cA8geqRy/wBrNp5NaeacZxCSnHbGjF8tS4vzEbY1wssRzzfMCUBfmLUptK0qtNlDbBQszSXCM3DCYV5vJDFoigtdBZbna63/ANGu6vU4Jxy91tLap44hSUyVuMlEyBjR52wfgjt69J3v77OeH5bGYZf253Ltg/xBcsRozcSNnfNPIGeWR64RWW0qdcS3YI9uYhpSt0lBq0Uhxtxbnu42y60nEpyzPEk7B0CUuucQartdBpnRtys9EQtdMWA8uUs7q3WlK47BlEpnKJJnNJixjuJPdIjvEz9zuXZ4ve9INnje4vZoOVE4Ou2i5IxBwOC2gEZr9erIlKDW/ps8wMnd5OrdTn5h5suT0y+zu3zzbN/COmXs3YXlz57lfoHy55nN5Up5TOX+JOcp5u5lzSxlHN13b/Qvekn6XLln+qdtUPOu9CI2uVsXLiokZvLdjNSi1VtDy49FlI8epHTQh/8AhM9S/SI+ZNYhB0TZyzm5YfqZTlOXNdy5pYTltl2RIXvR7su4Ts6HpxZb2+Z8eN8zvnpV9t+JZHKdxSyZTIdsS6yTHXFv1tuTLH97hIO9DaV1SU7qbgZn31MLQtBx5SR2TPshj13rG56IprIq3u8pxVtaSuaEKMgE4ELSqWIO4GHJ62fdjz/cO9O/9pUzPvO7fbFknA2XWrj/APhayt/S5C9a7dMVI/NU21N7XWTMeX5a5hR81NtAANbu+ta1tk90bB/wj2mCPjNq+4p1A1Zw7/pCqnUUZUe9mBnmy59o2ZpROr1QOWO9nEeRu6CHxz6j/ZLxnwraOOVSY/azmeZYkz3EvWc4XCfu1nZtU7DJ92dn5JJVJetbRue5xMhjy1tBSQglXqcmsBxITL3cJ7MRs37sYafE+93621daaS9ULNOhuYp1qa58g0CpISplSipwzKBnxCkyIBEmlwkx6lkr06/TUjenzGscyxybRzdH5/iZOjCnMbkWt/LWkWVFwTlQNxVGU0bqHxZwXSiu4FXkjUFOHzToDPFU9n2jx7Yza/6nNhsX9PBJRy1c/PysssyMmbP38ss8+V3pdOWKGfVYe4Me79+4BXbsMYHGyb1jjKDhCGEYYrLmbNbkX/8ALBGox5f5yJIcLY2F3zC3VspJG1WTmK5css8JbNmPnn0cI+efGVVCrUVX8hlyTTmyyy8zKM+WWHve9vz5oud4gzWN3JdsHEfAvYDy92xY1lFv7aHMX5f7GufeF7YL5yZy7bbU8Ltl1rv023uPXm5PMPuSohQ4phIQl2QAhTyGbCDz0BtopnlxSQJlQnMgkEE7wJiUusR9BWO5J1Haqei07U0iFppcrlG+0DnWUgqXmMlKMiSFAKQqc1bTKEGC55fOwX02uB+4jt/xzC4/cT3Ec4crY/nnNmR4Ha84ynhu38XyZEC3Yvb03eNOh2164pim5kqZ3LG7clQS0puNKuQ2laJZlE4yBlKUhjOU5z4xzqguDvhrpKmuNvbQmtqahxDjqkBSm8hWkIGbAHuBUiCJ5pjZKQONT7T3I4r6VHe5neE4Hg/cXdfUp4q4Kyu+4TikXB0c6Yda79CuDWRybfCDENx61S4ggPSGmeq1lNUoS20iZkBwtuGQVnlslm2GchIYbMIYFPp1XS6fv9Sy2itVc2mlKQnLzEBw94ieMigCe4zlIGUF71MObO+jFWO762xPUm7JblwjKm59g6+1ex5bh9z7iW+OMykrsj2OLtasKF3TPi2+cpMv/tPzm0pcWHitAOrFW86gL/MSRMiQlORMpbNw29sX/FO8X2mVcEIvNCKUhSfls7XPyKGUoylrPmIJ+OcsQYHXax6kHehJ9MTvl5Mf5l35v20udqGI8J3v/Z3iif4Kx7J8jiWSdH+mFiES5efbEhnzJ7Ty0/jSpK/m1HS1jgacx90JlgMMSPQN8UNNeJl7f0lc69dTN+nWylpXLa7qVLQkiWTKZgkTUCeGMBvgQ8n+qd2Tc68I5FdY2Y9yHHfdvx3z/jF5ct0a2XO4WHuEuRsOUqZjQmYkCLEgTJci6zENIbaTuClBISgisgKqUKSMVZsw6c2B6hORMUdNLqfGTT9TQVKwusaq23UqkEyS6rKsySEpMgXVECQ2bMDFnHLHAnBvd/z/ANn/ACNxgxEh8VdgfPub9rHOci5TmplvhYH2yWcZVZX3wylsJgOSLPIheaBsUZAHgDq0tpD6kFOCUHKZ8E4jsImJx1e86dodZ3G3VdLItW+pWy6ARJIaRnTPZglaEpkMO9wiPPp65NleQZ13g+q7duF895svPLfPdn4S4swfCsLnZ5fLXx7ll9tzuU3BMSFHmTGmbDiaYsViQWQklpyOpVHVAR0i1TXUFJUZylt24q8gwB6ZQseHLy6upuOrVsreNRUJZaShCioM8xKVLkJmSUZZzSJctQn3oBPa72wudov/AP0DYLw9Eiqj4g1fuasv42c6Ft7jvMuPMtnW1tJCUBRgJcXBdIQAXGV0G2hO1Iz8vVBHAnySMvNt6YT9PaV/o/xGapUpk0ouuN7JZFsOkAAbAk5kbvd4SiTPL/8Ajkb7Vu+OT6tsPjtfGLfFmSRO1SXkTXHDmejnm4vOfw63j5xI+emhZbcmB4B7y0kpqhL1Muh7ITVSlLD3Z5sNku2fR2w7XdV7FovP9VBr5flr+WKuTmznNywnl7wQgjMM8+2Rh5q5B7ycTwLs3t3bx6i/ZL2iYU92RdvM26cbdyWb4rjWc3vKHIUpt++RGL5h2Qy1wJMRuNFacRJSgusPANhQUpdlK3EttZHEpGROBlw6jF7VtxvVJ8km23iho2vlGiW6hbaVlXemsBbSzlIkkGcppVhtJ42bxdrhf7vdL7dpH1d1vVxnXa5yvKQx9TcLi6p55zY0lDaN7iydqEgDwAA0AAlHxHV1Tlc6t50zWtRUo4CZUZkyEgJk7hKE3WYgj9ofGh1e/S6r+S591Xsib5dz7KvIY/Ne/Sqr+S591Xsj3yzn2FeQx9Ue8a9+l1X8lz7qvZGflXT8CvIY/Nyf6Q/Tr36XU/yXPuq9kZ+Ud+wryGP0dfDr9mvfpdT/ACXPuq9kamldHwK8hj2ELPghR+xJOvfpVV/Jc+6r2RqWVj4T5I9iPIV4MPH7GlH9mvG2VI/wnPuq9ka8tXAx6+klDxjSB/qVf5NaG31CdrS/un2R7IeBj8MaSPGO+PtaV/k1r8k9/LV5D7I8EE7o8lh4eLLo+1s/5NbfIPn/AA1/dPsjbkr+yfIY3rfZrxdpTUG1Wm5XOa/u8mHb4Ls2U9sBUdrbaFLVRIJNBqB9ldMnM4kpHEiQ88bN0zjqw2lCio7AAST1DaYdB4u5MHU8dZ0B7ziNwH/8fVH51n+Ynyj2wROn68f/AMZ7/wC2v2Qm3TB81scb6y9YflNnhlaWxLumPy7fG8xXgnzHWUJqfYK6kbqG3TlSoE8AQYq1VsqaEBT7S0AmQKklIJ2yEwMcDDScdaaNHXW2z7nFhB/WRq6mkdXiEKPYYjRRPLxS2o9QPsj8Q+w6aNvNOH3IcCz+o6wumcb95Kh1gx5VE8j3m1DsPsh1xcKzKfbTeYOJZNMs6UurVdYthlSLaEMEhZL6Gi1RBB3Hd09uqSqltBylaQeExON026oW0Xg0stic1ZTlEtszKQlvxwhsqIQaLIQfcr5T+vVkIUrYDESaV1YmEKI6jBw4az/kfC7bzJjvHmKoydPM/EkziTL0/kU6+TrXic2/WC/rkwRCebDEj63HozQceS4jy1ODZvKVo0cdDAIWQJ4Y4bCD6oP6fuFbazUtUrOdT9OplQyqUQhSkKJSEkSIKQJmYE9kyI1OLuTs54EyHNZ1msUEXbLuK+VeGr7Ayu1S6w8c5esU3H7m6002/DdalMQ563Iy1koS4ElbbiaoOzK80loxEjsxGII9cQWS81OnV1HKQCpxl1hYUDglwZVSAIkobpzAO0HZBy477gs6i4Xjlln9qvBHNrPH1vVZsQzbMuF7lNyDGojTy5bTcqTjlxssO+/TvPLWlN9YlghW1YU3RIhU+2x3VlIPSZbd+0T7Z8NkNlq1lWfLNtqttLUhhOVLi2FKUlIxAUpCkggTJGcHbMzhGx7u75jg3XlV7kjHMN55sPNOfp5T5LwbmbFpN1xm9cmNLmlF8jG0S7JdLLLS3cZLBVbJkcKaX5S0qQhtKLAUVTnjMzPSeyR3nYRA2h8Q65tVQqpS1VN1DnMWh5OdBcx76QkpKFAEp7pAy4SkEyaHK3IPMHcG7jLz2AMWXC+O7E9jOBYDxbgkmzcfYHY5Up+fJbiMNiU847MmyXX5MuZIekOqI8x1SUICYHKhCCEqUBwEwPp6Yp3q9V+sClQZAZZTlQ2y2Q02D3jICcio95SlEk7zIABqcM8n5xwHyE1yJiljgS8giYryXhiYmTWuXJtqLfyjjV3xa4LU1HfiO+cxAvL7kc+ZtS6lBWlaApCiDdE+Z5W1GYI907xLh0wO01f3tN1aK6mSlS0pWBmBKZLQps7CDsUSMdspzGEO3t451yjt4unIs6DxdgfKFk5X4xuHE2Y4hyna79Jxm44tcLxZL4pSDYL1j9wbeROsEbatMrbt3goNQRuijfbmC0ogiWKVcQd0jtEW9K6pd0q68tplp0OslpaHQopKFKSo4IWgzmgb5SnhHrlDnG15vAsTOJdtPCPAF7x/IIuQxsx4ZRnVvyl56EhwNsLeyLNMijttoeWl9KmGEOhaEEOAbkq1VQPK2MqHYs+kmLd11Mq6pQKehp6ZaFhYWwl1K5ichNTi5CZngAZgEGCZdO+zMbtNl5feOEe2OfzXcGpJuXPs/icyORLldZbXlO3WRbXLicJduLh3OruCrB56nVF5TheO/WTQVC9rKp8cqvRs7ZT3znjDKfEO4vKNR8hSmqI/j/LkulUpZ5T5Wffm5e3dEdc75myTkLAeFeOb1Gx+NY+CMUyzD8QkWuM9Hudwt2Y5LeMplOXFbkl5l11FwvTzbRYaaSGkoSUqWFLVlVtqlS/JXgJe6riTw6YUbjXV9zpKWicYIRTBwIIQoE8xZcVm2jaZCQTIcTjBWt3eLyXbP4O8i0YK5/BPalyT2e2vzrbOV9Txjyj/ABX9fNk7bkndc2P4wmfTPo2sjYzvYc2ueZlNBVJl+UvAEe6rfmnu/aPmg2jVl1RllTju0KqMdxf8JWeaj3v4nfMj7uA7pxmg8Cd1vLfblY+acV48u1uXifP/ABPmXD/JOK35h24WK6WLMbdMtv17LLUiOWLjbGZzyoMoKOwqUlaXGnHG15boapqcml4gg907PJu3ewmKWndQXbTDNVT06FFqpZU04lSFESUkpzCUpLSCcp2Y4gjCHDgndnlWO4FjvGGc8X8Oc/4ThLl3Xx5a+aMYuV3uHHrd9dMiVGtN1sl4sN4ahuzFGUbe7KcjB1S3AyFOOlcYt9QMC0sj91Q9Ej0ynKeMpkxet2sq+hpW6Kpo2alpufL57SlFsHEpSpKkKCSccpJHRLCHTiXeDztH57w7nZWHYfm9xwLA8q4rw7i2RhUy1cQ49xrmFhvOOybFBs2Ny7M/CjJhX6Y8kx5KHFyFqfecddW4pcSkrpjmcSRgR3gQJEES3cT247SY81r66IujNzLSCppCm22shSyhCkKRkShBSQAFmUlTniSYavLXMzd7tFsttp7S+FO3TIbdfbbkVtzri+ByFYs2actfmFDTTuSZvfoaG1OqS6Vtxg4FIQUOJoQrRps1gmyict6cyuzaRFa66idrkhtq209M4lSVBbKHkOJIxEip1UvJuBBBEENHfZyfLv7XILPDXb6/z8VJfT3EtcVPPcqvZEGvKTevpfzBWJfm4XSQLqmyfVeeBI83z/3mplUryO8W1A8cp/s7ZTnjOeMGleJNxDnzJoqX5uX/AKjkHm5pS5nvcvPvzcvbjAn475z5h4QOa2+9Y1bs0w7lRyFP5E475uxSRk+G5zdLa66/EuchuQ5Gmsz4jsh4s3KHJakpDjqA7sdcSqCnaXUAlpJUN8hMebYfIRjxMALFqi5WIvILQfbfkpxt9BcQtU5hZBkrNPEKBBO8mFHOu7vLcssWN4Pi3H3DXDfG+M8iWbldjjnijE5Nts14z/HmHosK4XS43e5XnJLmqLGlSGmG5FzUhtLzobSjeTqwqgfUCkNLAO7KfSZk9pMt0E6/V9yq0MNM0TTDLTyXghplSUqcTglSySpapCY94YE9Ei1Ze8vkrID3ASMt7auF+b8d7gufZHcnmFgzHF81ex7GOTHzf6OWhzHctssuPHbaySa0lqXIfO0pqoqTuOjxU2pQdRIqM5HMMRPZIg7zxiRnX1agVSKihp3kP1KqlSXG3SEuKzCacriSAAogTKjjtgd3TnzIscz2wck4l2v8F8Qx4WO3nFrph1v42vuV8dZ1aMhStuWLnDzq95S4pxyOstJdhvsrbFFNlDnz6jbYVUK/KQSRuAKpeXNL6SxximjWNQxVIqaa30rUkKQpCWVKbcQuUwtLi1z2bUlJlPHGMfInNvI/KXH6uNsI4FwHh3je45JZc0ynHeEMFvseLnOW43GnRLbPu0+83XIbk9+Xx7nMEaK1KbjNl5xaWQs7ho8eT3FDL0Ge3jjM+qIb1qisvFN8m1Rs07JUFrSw2pOdSQQkrKlLJCZqypmEgkmU5SQO3nuK587Os3uGccZuu2GRfrBcsRzDGMxxkXrCc5xW7JKX7bebVNb+mnMKrUBQCkn8KhU1s07D6u80hRw3JmCDu2EEGK+jtT3XRlSX6AGaklK0KSVIWngpOE5bQQQRjjIkEp80eovzdyyzxvbsfx3hHt1sHEuco5OwPHO2fi2BxJbbFyI2222Ly08yuVcEyNrY3UkhCum5CtqNs7lHVOS/JUJGYkgjHjgJz2Q0XrX1+uyadDNKimQw5zEJp2C2Av7WOY7zMAgKmcwOEjFdvWO7pp8W8Xa04922YXzJklqmWbJu5jB+C7NjncNf4NwYTHeD1+aqyytTe7a7GitrQVEoUkhBRKaasOIZUFfaDclY9IHokYOPeL+pHAtaKRlFQtOVT6ach4gcVEkcZd2QmZARECL3U8gNdqF47PEW3D5HG1852T3CTchdhzXs/wD42TZo1j+nTLFxED6NUWMlZbVCLnmEnzdpCRH+nVZbDfJXIKn7iuEuGyEJF9urVodsppyWXH+cpRQvmZ5JG2eWXdG1JM54xtYB3QcmYF28dw3bTZrLjF0wnuYufGt2z6+3i3XCbmkCZxbdkXmAbXKauDMRr6iWgJlfUxXipNQkoV82st2ysbSpIYckqU+4rdiJYRik1Dc6C11dq5M2qlaFrUpCyuaFJUJKmBiUic0qJxxELPdZzlzb3pc2ZJ3Cci8fQbVleW2/G7fOhceYpd4OKtsYzAj26OphudLuskFbEZKnCqSoFRJASKAVKlLi3FFaSFHaJEbABsOO6INZ6jr9cVxr6tkJcKUpkhKwmSdmCioz44wYO3rve7lu3DjN/hA8Q8Xc0cRP5O/m1o4z7jOEP9puNY7mMloNG5Wxt1USRHeBSlxI80oCwVBFVub92EuhJkjMngUzAMpT2YQf0x4j3bTFH+ninZfp82dKH2isJVOc04pl3u8JzkcRLGAD3Ic1dwPdbytP5T5lZul5zCVa7XYbfb7XiqrHZMbxixpUiFbLZbo7KW4kaMFqKUJBKlKWtalOLUo+cpqh0cxSFkccpl1bJQtas1DctaVhra1JLmUJASkhKUickpGMgCScSTMnGHX3PdwvOPdl3C3buT5E4+tdmzq5/wAICZacKxO8W7FGThUSLDi7WJ025TE+Y1EQXd0o1JO3aKAa1LDz6itSFDN0HhLDyRf1Pq246ruabrUMpS8nJIISsJ7hmMCpR6+91SiafKPqucvct3LJcp5P9Pz0+crzDLIAgXrkPKO1K533OJHkQ0W+M8btcMjkyluwojLTcdbi1bEoQkDakDV4qfqiRyJqPBBJhyuPi3W3ZxT1VZ7c46ratVKpSjISE1KcJMgABM4AAboigO+fuOs+MdnWP47DsmEv9kE3P53D2VY/ZLjFyO6Ock3CHcLki/LlT5MKe0pUIMBpiOylTK3EOBzdUaC31hSlKWXO6SQQhU8TPh9N8LqNe3lCballsJNBmDRShc1BeXMHJqIUCEy7oTgT0Sj5zvypcueeWs25fuHH2DcdXbPrw5kF7xfjC0XGz4WzfJiUmZJixbjcbrIYVOkb5DyBIKPMWrYlCaJGq7TVrUVchwT3BCpej6dULupKmr1LWuVy6QNLcM1JbQsJKt6pKKiCo4nGRMzKZMTiwr1XO6fDcSsFksOEdvbnIGGYLA404959/wAP9nZ5547wi2wV2xq32a9Q24zEdAt6gwS5EWdoHXcVFUqaGtaH8Bc5SB5ZmBs2y4YcemOiUvi3f6FlCE0rHNbb5aHvl5OoRKUkkSSBIDDJLATEC7tt70e5ftuxHIuNrRh2Hcv8L5je2cmyLhXn3ipPKvFt1yNoISZ4hSQ0/HedQhKXVR5CN9ElYUpCCmq0w+z3eWSJzIKZiY6JYdkvMIXdMeIF40vTuUiWkP0zhJU0+2XETO0ymDjvE5HbKeMKvIHe/wB2PJvMXAXL2SYzY2I/bFl+M5jwpxHi/GTmG8L4XLxm6QrwIzFltX0jnlTpcBkSl/U+ctCQgOpCUbfcp/MlWRXd2DKQBvwAA7d8bXnxEvV8raSsebSBSrStppLZS0kpUlXugzIJSAe9OWAIiM/N2W8m878vckc0ZjhjtsynlHMr9nF/gY5jtwhWCHdsikLkvtw2pTsyS2ylayEJcfWoDxUT11GqkeWSrlqxJOw7zOFPUNxq9TVr1e+1Jx1WZQSlQSD0AlRlhvJggcf88c0ca9uPcH2y2TA7bJ4/7kJ/GVxzq83fF7q9ltpe4puqLvbhapDMxiEwl6S2EyfqIr25FQgoV82tm2HkBSAhXeluO4zwglb9R19utVVZ22QWahSFLJSvOChSVDKQQkCaROaThOUo2+zvvA5u7FeU7ryvw5CsLuR3jDL1gl1tWb2abdMemWe8OxpG9yNFmW91TsWVDZeYUXaBSaKSpJUk2qe31lOrOhlycpe4rf2dvZFvQ2qbtoOpXV0DOZS0FBC0LKSCQZySU4gjAzwmeMKvBnfB3DcBcXdy/EmCyLXNsHdXYvyPki5X+3TrhkdvL7Vwjy5lokMTYzcWTPi3N9mQ4806FJ2kJSpKVDVu21jKVJDLklCR7itg7OuLlj1vfNOUtbStIJTVzzqUheYKUCFLQQUyUoKxJB2CQEoeDnfl3nN8N8J8H8UZPm/A/HvB1jv1oszPb3c8m42uOazcmmfXTbnksqFdVqukp2Upa0keW0grWW2klaidFN1TICMq0gT3KG0zx+mG6PP+IV9+RpbfSldM1TpIHI5jZWTiVOEK7yiZnCQmpRljBKtvqXd3ELl3tb54v+CYfm/Lvajg+YcfYtnmdYxk97yPkfHcvttwth/jGV+fMvXZ+AzdJLkaQwqOsuLUt8vEmu6E1OdLnLUVASnlOIx29UzKCSfFS9fNUFa4y2t+jQtCFqS4VOBaMhLpzzUQCSCMveJJnOARiHdVz3iPB3NHbxdMLsmd8O803NWTSsV5Axa63SLxvnfmqeRkOJvR50J20T0qISpSlONOJAS604CoKrt0j6UlsNqIO7Kdo3jp3dIwMCKbXN1Yoau3OMpcp6hRUULQshtaiVFTUlApMzMTzCYnKZM5QyPVr5MuGNcc47yR2T+n9y3J4u43xHinGMs5l7b7hnuZIw3CY/kQozs+fkilBIUpx5TbSUN+Y44pKE7yNEUU9WEpT8sTIAAltRMhDU74rXK4JbFRaKB8ttpQlTlMtxWVOwZis4bTISEyTLGKrsluUnK8lyHJW8ftNh/iG+3a+fkGK2pVrxmx/m0hx/6O3RQpz6aLG8zy47W47UBKamldUDbKn+Sv7qvZHJq+mqax5x405RnUpWVCClCcxJypG5I2JE8BIQmfk922eZ+V3HZ/T+id2fp201p+n1H8pf3T7Io/IvbOWr7p9kPEceMgU/MOpNKbiRUa/QI2ZIMioQx/1Ao45Iwq4+YBI+vr18d3+9qI2xKdqhEgvypTyfTyxgXx6x4/XCgHvJ/ZqsugQMQYkTfTKZRCLLw5qN1L4VtPiFUB/Vqm4whO8Reauhd3QmphMRlhKSFH4rKqj9GqVQsMCc8Isc1TsOm1RpT1ExmNyv5yvED9IrpKu2rG6AGZgXWVKGZieMSR427cudeUVMKwTjXMcojvK2pn2yzPm0JUDQhU5aG4jfXx3OjXJL54zMUBKS6ARunj5BM+aBDFrqL0r/TsOu8cqSQO3Z54n3x56TXcrkQjSsxdwrjiC4UmQi+X786vDKCPFLFvRIjqIH80yU65bePGp54nlBR6TJI8px80OVB4P3SqxWltkftkE+RM/PKJc2T0fOM5+P3GLc+br7dsqjNuNfVY3aYMSyQJqk7kJfiOqlyHAnpVP1CCf83Sgnxcua15m1NkDdiT94EDzQ30PgswUKnWZnBtypGUHgRMnziOcbnjHr7xJn2YYTIktTH8TyO84+9NjgtszF2l9bPmoQqpQHNm4AnpWmu+6S1w5emEOT95IMuExshQsduZdcU0oYpUpB60qKT2TEIPB/dXydwPncHPOO7y1ZckhRpcFEqRDZuTC4k4BLramn21oUFADqBUU6EaJ6otSNSMcqpTmTMEYkSI2GYO49kM508aFYqKNam3ROSkyJEwQcFAjYd4MWA4z379wXLN5tgy/ku8yY8m4wvNgwVJtcMJW4mo2R0t9CDSldfN2rNHNW5CuUiUhhiT6TCBqJVwK8z9W+sA71kD7qMqf7sXeeqmwuV2oQNhUVm/40TTqT0H3+J0jWOoLFXTme4/hjrvjBL5KiUf56f8tcceee4zOM59ag6UF1ah1JFCdfVmnb2lTYE4B2K5oZSBuhLwi3OR7k0lQIPmJ8R066sX+pDrRxi1eqoPJwjr07NmjI9My7xh1KrDyg0n20K5c7/Lr5MvbuSpeVwWn0Ji1bSDpeu6nvRHLvlOLTH7qtYaUUlypNDTx13a0XhtDUjtnCZbbigtjHdF1fovW5du5mzhpyg3ccr8egBE6N79c41rWiocbPSfRDXoN9L91IB2NL9KIg137XqPA7pOXkb0/LlLvgqng23X9unLRNIp+iblsIPpMJrVOXaqrMv8d38ZixX0v+6HgbEuHOTePuTs/tmIXG6Xt64stXN36UTbZLiMsqLDhBQpaVtqqnx8DTS3rPTVWanO22pSSkDDGRBO0dsN2mrhS2RuqarVKSh0CRCVK3EEd0HH2wsXvuQ9NnhR+TNw7BFcs5K2668m5XaMq6R1ylEncFTCGEjd/wBGnWlDpS83CSVqKE8CZeZPrMAGFWe3YUNA4+obFvHKnyHHD9yURk5S9WPNcwt0zEMAx7H+N8aktripatTKBNEUgpoFIS2hFQfYnp79dc0X4V01I+l6omtYIOOCZ9W/tMQ3epu16p1MEoaYO1DScsxwKjiR1BMV7XPKF3NxyWuSZC3lrcU4pe5S1r6kn3kn26+qbdbktJEhC3RWQUwyrAhOTe3EgUUQAPEGn7dFjb0q2ygl+nt/Zhj5FfHnkLbS4s1qDRRNB92qjlKhGAg9b7elnECBLco0qQomilble0H2aqKbS2ZiGVhzCUbFsxmTKUk7Cr5gBUe39mhdTc0tRMt5DImTBvwjgbMc4lNQMYxi7X6c6oJQxboK5KiT7ykED7zpYuWrqe2pzPuBA6TKBDl/bbVIHHgPpjBT5F7N+YOJLTbr9n2DXHHrbcin6WTK2KTuPUBYQpRQfgRoTaNf0N8WpumdClDaNnp29kbOXpTJAdSpE9mZJE+qcTT9Pzth485DlZhmvI1vN4sWCQhKTYwstNzn9u4FwjqUgDw0g+JWr6q3lmlpFZVun3uG6KPzgq1LUonltoKzLAkDcDunEmbp3zYrhM4Yhwpxbj2IxWLgi1meqAy08QhwN1qgFZI69SrQJnw7+YSXq99bq5E7SBsnAD9XqlgKp0Nsp24DOuR4qVshH9UYPZPh/EN+mKaNwm2pt6Q8GwFLU62Fnr06VOrXg4xNVWhOCQuXpg+a9btUy44ZqVTpJPH3oqi4bsFc8xir/QX23EgHb4up12u7Ug+Wcmccp9EW7rWyaOG6L4e4ft1xznbkLjmx5JIkM21vFlrd+nUEurLDQIFfHqTr540zfF6ftT7zUirmyx6SIW01jlLWIbbwKmkGZ6AfZFGOf9tjFm5ovXH2KJXPfZvj1vtrC1J8xxKV0TuJ92voaiq2xQoq31SBSFGG+g1I4/Tha+GMXYdrXDlr7d+LcjtvMWU2HHk31vzlxkT0LkMtKT4HrStPdrhOpLw7qyubctTK15N5GELlWWa9a1VCsoKZAATUcZ7Bs2b4gZ359xPGGWWqxYNx5dzc4+NuJbXOIBaX5IoCFHx8NdX8PtJ1dpDj9WUhbhnIbovadtag7zAghEpCe3tEQJk95vMdqxNnDLPmDtossdstJRbwmM6pA6dVJofAeOmpOkKIPGoU2kuHecYdUaYp3lcxaJmIk5jyVkuUSFv3a/T7m+skqdlSC+o1+KidHEtJZwTgIZaG2t047iAJdEDtSrjL6oWtwnqT+L9WtlLlsgs0UN7Y9wm7kl5La6+IruRTWUOq4xMtSFDuxbH2edpWPcuQk3PJ8sg21KujMBJT561AVHTx66VtTayqrIPyGSocZYeWOd6gvptywlCT17oy8k8TscY8jysbtjwfgxpDXluFIJUncPaRrpGmrq7cqNL68CR6ogpbp+oMZ1bYsXzC6Xiw8X4IzapjsBt9FvS8iP8Aut4OwGtKe/SHpinbqq6rW4kKV3sTCOlCKh9RUOMPS8uOSHMDW68p15zyQVOGqlKV8SdDqMpQ3VkbAYqtN5SsJjbufHl4t/IBzC4LZh2pqDuS46sJ3pPze/Van1OxWUCaNqalk7onafCm+WPenEcJHdPjfHmU5NHfiM3Zlx1xKVBIcQV/f08dO9VoRV5p2szhQUgbIY2tNuViEkYRDXmrudvnIzjkC2tJtlpLjmxplIR4np0FPZpqsmmmLIJIJKpYkw22rTaKLvETMRlQi+3h1KVSnHUmlA64Smn3k6ZG6cuGQOEMZDdMmcolTw12z5FyKttanmIsAKQFPrqNwP26B6hvzWn09/FZ3CF266gTQiQETPxjtWtfG98YnvOxrmGwHAlQ3pCk/pGkdWqlXlkhIKSYUazUiq9MhhEj4t4iy4ot6bbFbbjbUN7EJHVPQeH2aBG2CiVnzEk7cYWXAZzhNmolW51U+THDUVCSrcsgCg0TarW6hIaQQVRs23nwBxgT5rzhx/aLNMBWw5cWkOJCEuAkOJB/bq/SaarXHMyjJG2C1HZnnVDcIq5zruIzW6zpsO0ynWYDy3EIQl0mqCfcNNyKFqlI7onHRaSwMsJBIE4QcK4pzrkiQu4IilaXVeYt95ypVuPXqdVqy9t0OCtsWay5M28SidPF3EeO4lH2ZJa2JM4KFCtIUNwp7/HrpVr7w7V4tGQ3wkXO8LqD3DhB2anRrM2EW2J9LCSVVCAEgJpocl7mzzmaoBEGpOJxgYcico4vYrU9JVPYXMQ2qjO+q96RWh1aomXXVZZSEFLfbXHlylhECs07gMqzUrsNlW+lpSyhtLCiAR4DwNdMLFG3Sd8w7Ulibpu+oTMIuOcPZHkClSshXJTvBcR9QpSvj0rrz1zGxGMTv3NunwRtg+YTgAbiv21uI2ryen1BRVQoffodUOhBCuMAqy5FwzBlBh/Jbb+S/kv1TX1mzdt8z5tvhSnu1TmvNnkcsDcys2fdFUKFcgqWfNbebO7wqDT+qpQ0eqKi6gmTSvKn1mOe5LWEjKZ/Tqhdhoy0q/fuqT8NizT9FdLtXVXkA5WFH/iR/wCKKjqqQfwxM9kOhiLcygGTctnwMZ4gfZRGlWsr9QD3aZRH7yP/ABQBrXWxtQZdY9sNrII81DRLNw83oeiWHkiv3oHXWlLWXtZ/NYUn/iR6lGDVqcRhNGHWPUTAyaRefqx5jz4RU/hQR0r19h1drnK4oOZBGHEe2G4qpw3NABMtkXPelxbu1c8jTbh3BX+xpyGObJG4ysWXQ5P8Lzr3J+oVJkSnlxzbUrjhtlEdMt1KSpdUhTgQU/LHiau6kySlYaxKyNu0SGBzSOJMu0xT0mm1Lryq6FKQMvLCvdUozmVETSMshLOQCVbyBF4XPOdd61uuMy0dtvCWLX/FGmYv5Jlpy7H44ktLaST5cOXdojiQhRKRVAB9nTXF7cw0+ol93ImexImeuYBMdB1DW6ocfUzaadlNKJZHJtqKhlBmElYCZGYxSZynsMVH8u3X1SpUiS5yNjHJNutCnVF2Pjk23OWlCetQDaJj5pStKq00rpbClOLwKv2g5/zJAjj+paW+N/8AyD1Wo9AXk7eUkNeXsiyn0vXcsd425JOZRrpGu4zFkOou61OTCn6BnqrepSvGvidJqk06X1imIKMo2bJzPVujofgSEilq8pBHNE+vLj28Y5sO/kMjn/mTaUH/AP0DJ+o8SfqV1/XrvfhbM07X7ohPs4IraiX/ALh3/MVFaLvn/WHaDTd4j7v2a+iBLl47I6qiXLxiWHBfn/nVprvp+YwaD2V8xFNcU1/LlqlLYfRHLdWS78ddXqPIgudsNuFxeDDH5xjlVrSpdFbB7EhR18wtlaXGMgmcfww8+Mf/AMTTceamX3F+qIf9u7PaInse5ebuUvipzkA4vnwzGRkLcUZYlxSJP5eUJmoEraGfL8j6cbd9dv7zdo+ldd8yglLmfOnIBOUsJylhjv8APAPTHyX9PVGbJ83kclP35yOTLPHqy7+mObtkQG7uPy1aX0eZ8uwbKiv+cBr6BcLqmfzcD9OECxmU338MI6y+wOPCn+nl9LergmxW+QxyKzOubkZyemBFXNlhTxajhx1wITU7Uip9mvnHUiBz6gBWE04yP2Ru2w7acaae05WIeXkbPNClyJkCMTIYmXACZ3RCfGcO9LzEVImZxy9lXLF6SuptbGK33E7K697gFW+IpIr7XJVPfoi2bkU92cv2ZesnzCEu3UWnre0FOVLtQofChCkT6O8Af7wiTln5fydjGLzbfT+7S8GnSVWtxleSweT8Fi3ZmLSiXpEMZCq5OUVQ7ZG018RXUtHRMvOA19QUcRldKuwlMvJOGO3XB2sStFjpWWcDNZWhboTvOQEnhKaiJywjl07gJfLz3I2YOcnWu5RM4VfZyslYuD7Dklu6lxXmhRadW2QDWm0kU8DTX07pVuhDCPl1AoyjLIGUu0enGK2nWaRCJZ5mZmVBU5z72aYBzZpzmNsA2E9lgP8Ad4comvTa6j/w9OikUvxKHn9kMziKPepMKbz+XlJ86FKAoPF1FPt/GdT0yKTNgoREyihB7ih54Q/MyEu9GH0uVHgtJV+o6ZqTIPcl2RdIYy7RKCNZJOdoQA3bnnWunzLfaSP1uA6bqZyoAGVJPaPXC1VN0ZJmseQ+yCHEcyF0J/MWDGFBWikOED/QUrVhx+t3Nnyp9sCHE0yVDIoE9Xthww4mPLH9+uiGl16hcd9XX7mzoQ49Vg4tnyp9sVHn6gYNtzHGY9s4U1RsRSQE3GI4KiqvJeAH9ZtJ/VrHNfUO8gjtHqMQh6sni2fKPbE7+zSz9nxyC43fnvLoYXBZa/hnE5NtuSYF6mmpJkSmIiozSQaCjzqR79cV8R3b0UpbtiFBJJzrBTMDoE8x/wCEGJKQla1KrwoISkkJG1Z3JmJhPWZbsYuHtmeZ+9ZhG7YODcEiWFKUpi3KxZjirr62B4KLLF2VJqR/SofeK64qi22lhyd1rHFucFIdT51IiJuuu1an/wDGUzLI6Ftrdl0zUSPIY0e85y7v9suNOcnsGHkizHVcI8lSHFMzCRuSC2paCAagUUft0Y8NvlxeXuR/DynLLh0RjWHzvyNB81Pn5lTntlI4mXZAT9P4WX+B+aPoVNlj8tT55p02+X19x0b8T8vz1DL7XrEDrEHOTW8yf/p1bevH1RV/chZP48mbFoP/AL0O7aDpX6k+Hs13ccn5dUpe6eHCAtPzglO2UvVFifqIi0/7M+GDMJH/AGPF8sCtdnkp93TXKvBsp51dPZzPbDQ9nD9Ll/8AbJn54gJ2749xpdczsj1/z614u4zdYao8V+zXS5SpjwcG1KTEhPMoqf6axrp+qq56nplimpi5NJmcyEgYftKBPYI2uQdcGVRyp+0Z+gTPmjoSzO641Z7pY37FjFzy7OmscdRY4cedCtbcmOGxuUFTZUZlNRT8aq/DXy1Z6N2rp1B99LVLzBmOVajOY3JSYt3F2jaqWksIUuo5QAJICJSMjLbsmZRzU83Xblmbzxkcqy4tcrNm7t+lKjWyBcYcubGklRokOMSXGlEf5qyPjr68tqKJFA2MwUyEDE4AjjiMPJF6ytUyaUcxYKZY4K2Y9EALlqX3PF9w8iWvOkuEeF3fqwB18KOlvVyiFJlHypRl/Yl6oaLYi2/4SkT+nGIhXZzKVuL+uYmMiprvUF0P3KOiCJjZDa2G8JEQ2Aw0s/32a40r/PadVT9CFa1UTF9CtmUeiNpqDYAAtd6ZUvpVkxpIcpX3lgJ/XqpmM8RExW9L3cOz2xZr2fW3syShh/mLI1uXdSqJhOwJSIjfTxUvyNh+46QtXm8qEqAAJlt3wlXpdfmkyk5Z7QRP0wMu6KNwo3yZMHFNwt0jHCKsqhsvIbSKeHzto/Vpr0f8waNv5v8Aib5xbsq6os/npM+mXtiQ/ZEh4cgWXynZZgb07yhLnkHwpXpt8Pfozq7l/pzspTy9sL2qj+UZ7Ymjz/auJl5RcJc/KGWctS4z5Nq/Lpi1LHsq4mOWB969VNC1NwNOhBZ/IynvTT6Jz80KNscqOWBl7m8zHtn5okDkFr4/mcdYSvKcmbs7SG4immRbpctx9Y27RuYYcAqaeNBpUtFXcWK2qTRsZ5kzOZIl2KIPmMUGisPKyCZ+nGApzvcMxYVijHHVhlzUNOM/ls36uKyqVQdPkdfStNf85I03aPapwy8a1aZn3hI4dsseyDFpbZUVc5YB34H2eiANyncu62Xa2xmGPX212sRxuVHmxJAUzt9vkSHFAU9+m/TLdgSf9Cpsqn0z84hgtzduSsctYJ6QfWIgrdxE86R+YGSJPmr87zh+83k9a/YddD/JlhD8yAEjLs6ISIDOJOTY6ZctbEcvN+e4GlL2pr7QlKif0arP8uRy+9LCN3VOSOQRM5qzdtreDNu2jMPPyfyUlUUWyahfmU6jcYoR/wAbSVbqi7qrQHGpM8Zp9sKrztcXTzEd3rHtiT3CSXEYEr8jXLddqnb5A2ubfZ4geymg2oij578zZLfCvdSS73/qg5sCUuPHTclTWVFv9648N60/cKn9WlZ9WVRLQBxwlKAEhPCB/kbk23x5KsPYmX2fu6NNqRDAXX2mStlPj8dXKMqfI+c7ifL+GcXqZKFKHNIA7fVEb+WMi7m5GPLacwC5wLZ5SgqS3ebW8fL9+1qctf6tMVkbtTbs6deZfSCPSBDLbGaAK/iCfUr2RWtfBlMiVK/OFToLpcV53nhbtDU1/sw4DpvqVu/Ck+b2w/MZABytkoLvENm4RJ8zNMuSm4fzY7tsnkf1vpdtK/HSDdnLhm/KQZdY9sB7m9Vz/Jbw60+2cT1wJuyR4oTgchM+3dAlbTamfl95DoQdAH8T/qMFdMItaVqP5wkqcPC5J/dqcdcP1ySSlgp6rX7Bu/CK+HjrRtStiR3ez+2KrQE8NkAvPr/zMizy2LNgjzsIBwJnJvNtSoop4hCpgc/4ur9K1S8yal97hI+yDlAzR5gS4J8JK9kVvX9rJ5l1cOXSJdpaU7++S8h2SlDdf/EodSdOCSQnuDdhHQablpSOVIjsgx8Y2rjePd4DlvyeJOm+Y2Vx3LfMZAXXwKnY6E/r0MfU4pCs4kIFV7lQpJ7hA6x6jE+o/wCWrXF+pEVpgNpp5ZCt3Qf0QSNBWpJSeXiYSHcwJ2zhGyK53uMzLbwrG49yBaUHJCLhDjkdD12uvIVWvwrolTttEg1CxPhI+yJ2EIURzlAeX1CIi/UclfxR9R+Xv/X/AFFfy/6gbNu7+nu8r/jab5sZJSGWUNOWn5cp92W2P//Z)
Executive Summary
Biometrics (the measurement and analysis of physical or behavioral characteristics) can be used to identify and authenticate an individual, and to manage access to sensitive information or resources. A limitation with use of a single-point physical biometric (such as a fingerprint) is that access may be granted indefinitely, even after the user is no longer present. This problem can be overcome by use of continuous authentication. However, continuous or repeated authentication using a fingerprint or other physical characteristic is intrusive and cumbersome. Limitations of behavioral biometric authentication methods include delayed authentication, and current authentication methods do not work during all computer interactions. Researchers at MSU have developed a continuous authentication system that overcomes these limitations.
Description of Technology
Two new methods use continuous user authentication based on keystroke sound and keystroke behavior. These two methods can be used independently or in combination.
- Authentication via keystroke sound: The sound of a user typing on the keyboard is captured by a microphone attached to the computer. The sound is passed to the system for feature extraction and matching. A virtual alphabet is constructed and used instead of the real alphabet to increase privacy and eliminate the need for logging of the actual keystrokes. Software analyzes the data and provides continuous identification and authentication of the user.
- Authentication via keyboard typing behavior: A webcam pointed towards the keyboard provides a continuous stream of a user’s hand movements. These movements are analyzed by computer vision algorithms that extract feature representations from each frame, and then uses these features to form a multi-dimensional descriptor. Using these descriptors, the similarity between the streamed video and a video in the gallery is computed. The computer vision algorithm verifies the spatio-temporal patters of movement of the user continuously using the similarity metrics.
Key Benefits
- Continuous and non-invasive authentication
- Inexpensive implementation
- Shorter verification time
- Increased privacy
Applications
- Continuous user authentication via keyboard access
- Web fraud detection
- Behavior detection
- Context aware computing
- Passive biometrics
IP Status:
Copyright
Licensing Rights Available
Full licensing rights available
Inventors: Xiaoming Liu, Arun Ross, Joseph Roth, Dimitris Matexas
Tech ID: TEC2014-0012 & TEC2014-0013
Patent Information:
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For Information, Contact:
Raymond Devito
Technology Manager
Michigan State University
devitora@msu.edu