DUALISTIC STRUCTURES ON DOUBLY WARPED PRODUCT MANIFOLDS
Year 2013,
Volume: 6 Issue: 1, 41 - 45, 30.04.2013
Abdoul Salam Dıallo
Abstract
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zHfXdy5pH0SmAW8cfP4jioNdaKNM74ebH4YXcGuRXoVLf7QIYe2cTOyAeFINB/0oJOrpq7YgWm9t3wmNKKbdOWsyNekkKBiZk5JlSiw9C3aGHlxMgt59k/uS0VzvzK17MVjBzgQtV8/7bAsfdQ3gicz+K9SQgUmL3cg/ffuc/aDcdJVr3ZKHh04Rjn+ryJa9UKZcRNv2YFV4rztwpUce7Fl+O70tLeQqWzaR1Xune/x7rt4dwpIPQUS91wH9dFT8yV1bc0YteibScXtW9Kua8ub3l8QPttP/LDjjiVrXTb+lUsH51l7dc+KEe+RZuqmrhUYObYjdFvnOCzxQe5pf3WapH45dFZ/Gav5OHbfXGzV69Km9an+/DOHPHZTWRmFkl//sRnvzThk4luahwqUrfL+yxa8RE9Gr6gUULvsfD+TgkzY/xTMnderjGcH/SyRdKtRNgYIFXoUpWm9PlyJD1b2qPS3vRF2nVvy5V1ewi7k58pC3UpOFHm4bnJifeHtiyIT1N7XDu1KGimLhXGTl1pYoZWCgbKEidF9gHm3ufWlUvs27qDI9F3VC8xKKxfZczcV6lZ/Ewi32b5ioh4/pw/l1+ajmViD3U+NHGgy6TvWDGjOw01LpvfoaBQprEFyXdM4c6rDB3igpXjSLakBDK5dd7LLUbhWgbZ87Qogq2qUpO3C/TUn8vz4ttwfGoHtzbNvHIxMxNBVtQBfk2I5M7SRexR9VFyO9sSkoP44/BHuBV6ZKphcIfzB7ax+UYl1f669L+yqP/Ky9hXMctrYNmWz/x/ocpSb/ym/Jfp0gt/joP5/uef+LpT7YJBXEPOmGPcSXZuhmoinYSjuzhadxa/f9mHukWdUhnNzlP1ePNtC6rW7sGI+qtZt/sKw92bI0mXk3SVI+kWdKhWWecERVG9Le/0MEagZ93GmmpVijFnmUSyoLYeTPSRNXl5AN9P28vYdzrzg9TIsQfu7p/yuXszndjqpFO7GlWK2lDTMCee04EnoeF4qhdKFCZUtamNdep69p69S5+e+m4kHnP99BFCgMZ7VrHwpIZRJgkx94nN+Iv7oLph0bB84li1FQM/cmHBhiNcdG+O3anjKOb+yMQZ29gX4cFrr6YSss+WN5dYQ05knrw1a7LHexEnNcRyE1SPQDOSpUCoqqktwbEi9Zq+Qv30dRyIuMOwuvbqvnVoVk9rUoxG39pMrl7khYWqNrxofYHv915gXp86WCsccHu3D/T9lW2Te+LeNIOwbcn0fb8JZjzmSllxK1a74v1NYduZL3/sQHp8JEd2XSUp8QJ/RqaQ3izrGb1dZyjmNFiXwbf0YFShXlM6149l/oFI7gxrQN6QVdTWkHM9jMAQcxpOtipyk1oZmxerk/r9Qc7Oe5Oe1oWCJ59rXn+o2TgY74X53kpuwiWIzSL5/m3uHD5OquMImjpotiwoqNSwOxMm5JMpQUGDmRH+qaFqKD9o2ug4Go+Njs6GqhS16fTlPDqmxxNxZBfXkuKJ/DMC0luQJW0BMviXwnkJz1ojaGRfJD4N9jN8sdzixMSJwd+7s3PsRDr/IOWqxri5e/DF5+NooUmdhkUpfDX1Ioe3XsJxWlMc8m9EK9Ow5xiKc59yGVtqOVLPtpRjZhlkLwyCsWf64ttQfOaCre7YlrgWo3kaZ3bEM2G1FyMbaoIbREorso72Yu3mk3zTexD2+YbTKGKDs1s/Bmn2/Ak3GswaRI/Rjzm69WNcLEywbNiDT5dI/3JIjwtl1+r5jP/6D9468PETL5JoqBo81n2VNwcNonb6dY4k7sH3rKBKlaIBJHgUsYfNccncX3RdtZ8w3gb2+O0iYlQzXC0UmNg3pJPlI5LuPURa13zCpzNiORpZhQ6uNUs3STWoxPNy8R7hgeex7tup0B6sEkuXY4Hzp36cGPwlYeeiOB+6B//Zw+lz9TfdezFLzoCsh0oDvTLJUOq629bo1wpllrS214L+Hl8UXqWdPJ0lBigXXLKixRs9aD5jM9vD3HDZVZkh896DG7/z0Z8RfFwznj/rt8fbQgE5OXnyOmvtT1UTmjy1gGLpSxWpZKY/2EGo9dXPQZmhVK/kmlKz8yA+dhqO359RjLK5yYa7HfnWQYopZTngpi2D9FuWezlt/Tpu+ZMI7eu6ytJez+Osmv0Nfpm9+HREF1r1a47ZoV/w09U8v05j+5L6dkn7abAui2/lC62zYFbJrMikrkgzZRYPi1QVOlVmoTM8NI1U/a1x7u/OZM1+PNW1yUxVBUcS2zMMr41rSBUcDeGowaygddFSgX8WvVLC87Jio49ddhIhq+bypV8mAz8dTudWvWllFsoMw06pppaDssR46hNEU1/aONH01z7mYu7swaYTfTkZFkH0+ZME+3vSt088QYd+oI+denEnv0sxcZ2jJMNQ+s6no6NQ4rHFkN/poF9cVWlkT48g8HQ1+roV3ktfHCu914uNT709VReemNsUan4/gp3XWvN6g4KJn3RdYd2aQR90JPWPHRxRPWYq1OvJE4UVjVxeJn3PZvZcfEh22H+ZtD1J3c4Ey7qvMnjqF3wcH0nsXV2D9ZMk9dUoLOvTaWAfmv2ymNXH7xZplkbEHvhq1XymTJ7M5MmzWL5iFj1CthMckaZqq6j9GsPH1+f43nASnrhRE2Rd3svGGIMptQjPf+LpA2J3nuVW8U/1DSqXHb6S3kvCsWjSjp5D32fygt8JObmQ+kY9AjFIOu+iST3aDm4NMYncytI2VjYpyQmkWLbHrYWNDkIa/Sxo3LYzzbnK1aQiP2ubncjJo7FG/J6XAotWbzK+/WX81yzlD8t2tK5qQ+ue3UhbtRHfjWdw7e2M9GASjbzhV0nK1JZXStBhHL2i/Zt3OsTWW/WI2HNhXK/ens7O1npbgUbfBBJuFd4OIFKSiU1xpK9bM/IRq9qKwR6tCFn9O2t/O4j9iI6ql5sK6JQFN20xc3kQe5SwWyUYCUQ826Z/wLRMd/x9pzD8jbY0sdHKU1KiPRCnuoHT5gQa2xeuLf6spP00WJcXRhoJBcrYcA5dd2JA55fVq36aa4WPJo3bMLj5I2IS7qq2JORfFWkkx97Bsm8HWtjov1nI659C+NWbRbY/ZJJ88iRXMmrQwq09lrHniIrXngQKlNcOsDX8Xj7LgoIhHDWYGemfBURLXCorNroZKknaNpfe03L5zH8ZU4Z359UmtqonSnntpQnIEeL15lWbPDxvxnLjtqHtKrq5q2ozH3Ff2vmh+St1nGgIaB2zz+PbeylhFk3o2PNtxk1eyMaQ3XjXP8j2sNtaDTXFYuLaphlufR2JPRpV5MMRj7i2O9jgRwxKPrYY8juNvAaORXEtjewPYtgZdltHTtLwFWQ+Si8cq5pLOo7Fx6f2GPMkAQOTP+m3/YKJ7NxKa0lWQ8Aa17feonn6TtbsvWpAGXV7kcLFU+ehTU86viQNg5nsCjhKnNYyuEi7TWLbDrzyxB49DU/jj3nP7C+z68x1MnPjOBAYofrihEg5yab7LrTW+mmXCo3dGPdOPMs2nCRFwkphxxtTZvPFX0uZ+XME6Vr4ifTz/Oafwzs96pZw1S+b24e/p+vL7qyLLu0Ab7z+JW9pjq1DQyxTEkhOyYasuySa2xlaMTaaxc31W9ifpD0wgKJbG5rW0D/oGE2carw6YSYzK27ml93x+Y/6RHo4G3zD6L/8S/rXlVaq9OmnwKL1SJZ8a87qVXu1/DGTpOA1/HrLhKJrxzplM2/E68NacWHVFZr0b0VVKlD1tb58VGMtU4Lq8/rLmsfOVrQeN41vrQNZteN6vrxkxxO8NJBbFYveOevkBkRwJCxJ3V+QnXQAX68bjPH6mLfsDdFQYPHqWJbNBN9fDpKkiT9xj4gN6znYfzaz+tfX8m1LnPsMY0DCYj78o17+vl9pH0pZcTOxdaCt5R1ik6XPRWZwK9EEB1uj0M4DRbX/6CaWtWywUr9NL1KiOXXqJmQqUaZcYuf5VIRe2+vDVlOvz2c014s7lh2jPA43OXUkvMBW2fHs8vXj+pgZfP2Wg5atdMhj0YYJyz6mou9v7M6PwRzSIwLxPdiB5bN6U/eJpzZadCxaMW7JF1ivXs+OOM3NguRve1n6ayIVzSvi0PtDvu93iv+uOECyxp8kGVcexbSm5PclwbGk/qkla0mLZcVGJz8l924lkWpZA1srdRxqxj6yUCpTuLTzQt44o7O/eR6eXUNYuyk8f+wR6ZFs26jj1wWt6+LskkPaw0z1J1czSToQxB/aH2IyOk50CvRk5c0gNuwvyLWqBopX6NC0hqpYorhW1KX3V1/Qb98aVuTn77x8tnJ3NjUrG5ieAIbHlpL4XRE1jcHVGNlNrHFo60hKbDIpQpB16zbmDtbq1XoTrOs1woV0HmaoF7yy4zmweTfa5isiWeHTYuPTUHCDyaxZs2YVpgi58ftYMm86U6f6cPJqGhlVGtKmeW31QJhJ/P6fWRGwn9MnwwiNjCftwS3SrJxoqjzO8hUb2H34AndeyCTpwimOHz/MzpXzWXG3F8v++yFv2L2ASD7N8buZpAeuY0tYJOEn/2TdxgzeWTiOVlULnkRLvxu43Pd3du7YT9iVuyi4zY3sF2ndQP0TBblx7F/uy4bdhwm/LbBQWtGodQOsqtjTxDGV7evOgyKOWOvWtH64nf/7ZBqLwx/S+NWOtKwt7UfMJP7Ab/jtOMLB7RdJExY4tHoZ+xqN6DK4A6ZHvJnutZurNy5w6sBOtp3MppP7SNrZag2wahl+3/knu8Jieah4zJ0buThIcuRjr+Ru2GZ+8kvE6Z1+tLcvfiN0gU2kpfMAlq7bSNAf+whPusu9jAfci03FskVtbm7xwfePPzkWlYAweUxuTUeson5n2botankyeGjRsACzAsJaJROsGjnh9GArXpvPEr0vCrsPR9O5pjkPJd6+Gwg8do4EkUtmbk2aWUWxetk6AneFceWhAh5a0OCl+wT/tIo/Ag8SlZCJCTVoUi+Fg/FKqp3ZyKawS1w4soVV2wUjZ4/kNZtK+gcuafK2VItWpoKazSyIWu3NusB9al/IwqJBcxraOdKxx0v8tXUxP6w7RnTkLlavOkONsXP4dsjLSE9bpRdNdOtXCUWFqjTs1IXWd4KYM3MNp65Fsm/zDqJqv8P0wU2omG9DLbieKJpRo3omEWfq8v4UN+ylny8yq0rlRxHc7PABH7WuqQ54BRWqNKRTj5e5E7SAmSuPce3yQTZvvULtcZ8yuFFl/ZioeOaSfvFPFm1U0qnpFfy3nCImLADPRRdoPnOhWt+8+Myz/2VuSb6SpKCuxh8VltTr2IVWfwUy/4dfOREdwZ7V6wip8R5e3w6giUXhhKuoZo1lQhiPB37BJ61qFMhXRtwUVvVxdrrLZq+tXIg+Sqjde0zsXJusCCP9rU1rXm3XiNRff8DndCJJYbvZdLwyw77qiXLZbJZF1OaDj/rhVL2Sfts/YUftCn0+k0HEBm/jYs7RAcey+Fb6RbYuOoR5J1su+28nLOYUmz19ONv8S7xVtlKqcrFeW1OByvXa0qPVbbbOX8S6E1FE7vFjVUgNxnpNZUiTqgX2VKl+n4tb17KR7nw58GWqYEqVhq/So3UKQXPmsPLUFS7v28rWKHvGTR9Ao4oVUJjb07Zvd+yjVjPlu+3EJp8m8LcL1B7/KQMaWkivHunBv2huEVDjJdo0rEP94vyzBPmhgVXBeKJtXWlDT7HYaPOJu0+2epxrrho7ClPLOzPDxqk5TVM3MssnhNtJZ9izKYwXho2nv3ItM5eFU+ODCQx10kwAnqShMLfDtVsb2DWfqevPcSvmEJuC/qJ2vcdsO/ArGxdt4167gfRqZAmmNWjQ1JzjS1ZxMOEGYTsCOPJCA5pE7GT7HyuZs682Q8f0pFOxcdKZzN2rivi0HTmHftGqq0CNJrW4e/A6JtXCWbvpFDEXjrB11W4yR07m/ddqI/3sr+64tsf8YZGcTg2c2jhia9eKvkNqEuXzDd8FXyb5VBC/hdkxfrU2XYkAACAASURBVHpfGlYsnIu00RK3wwiMMzS26PE7m1scWL5cPY4kkZF5lyQcCo+PxuA6ui11ipNdUY1Gzg482LyCzRcusC+0Dh9O7EhNc0kvBaY169HU5jhLvA+QkBjGjl9P80JTWyJ2+PPHSh/21e5G1/s7WK4ay3XkciPiUxuzomWF9PZv0Ur5XEZARuB5RCCb5M0fYz8Y9e9u6RvYnkfZZZlKjEDyZkbbTwXt38ArMZHiOuSQHn+N1OoNcLBMYvNoNwazQP07ncX1la/LCMgI/FMR0D+1/qdqJMstIyAjICMgI2AcAil7meHSGJcZe0nJvMnVcBjQzZlaxvWWW8kIyAj8QxHQ+dj3H6qLLLaMwP8wAvcIf+JxY1P0P4L6H4bif1419VaPItstWuRvvSlHACpZUlnEEXrlLmmHAjnZfg7e7q5UrWDUfodyFEQmJSMgI/AsEZAf+z5LtGVeMgIyAjICMgIyAjICMgJ/MwLyY9+/2QAyexkBGQEZARkBGQEZARmBZ4mAPPl7lmjLvGQEZARkBGQEZARkBGQE/mYE5Mnf32wAmb2MgIyAjICMgIyAjICMwLNEQJ78PUu0ZV4yAjICMgIyAjICMgIyAn8zAvLk7282gMxeRkBGQEZARkBGQEZARuBZIiBP/p4l2jIvGQEZARkBGQEZARkBGYG/GQEjJ385pOyajLVCgULRiNGbjf76XJ564j7XDqzhm+EDGD51LgvnTWL4WC8OJxf+5uvTwaKMsj8docqPasouJllLdlGgGL2Z5PKjnE8pJ8qHTirbK2i0MKzgm7T5LTSFm+ya9EqeLAp3NieX8uPkGnL/k8d/kj/+k2T933GW3KvrGFilLl0XnlR9k7xsmv2v2PAZ5BZ9uTT3CusGNqBK18WEpueWzRxA+dq3zOLIBJ4rBJ5dvBo5+TPBuudC7sb5M6zEQD3i6sav6fnVNTou3oD/ghl8OaEXdsdmM9H7JPdLTK+kHcoie0l5/Q3trXuy5O41/IfVf2rMTZq6cyQjhLnFsqhFzyWnifMf+9Rk+ecT/if547OSNYPoNZNYGJb+zzdveWhgaoG1nUl5UFJ917r0ubucRCgXMs8gt+jNpWZUtq5eQi0M+HS52tewWLnRaxho8IbdcP+yXzWAQ9mJ/7Mp5F5izcDFhBVaI3lWORdK9HFQhakZFUsKd85Vdv/kT+7QPbxhl9dbUaUBnd6ZwIvdmlClpPRK2b5UspeS1zPvpjDBrGJ5DRZ6pDcxwzgWCkzNzPUQkas1CPyT/PGpyypuceHodXDRoPPvPlaoO5jV0YPLFYSnbsNylVYfsWeQW3Tl0gr1GbT6DIP0iaWr3oBPPw376hIBlPx1IZRLf2dgGcBBt8z/nlrxVxRHL+XotM6ziFcjV/7KYBCRSXpyamEClV5i0Ox5uDtbkFP4inwmIyAj8G9CQNznaqA3839O+zdpLev6v4zAc+HTOaRf3YHXfH+UfxfWzwUOf5fyhvmK9GgCvf7Lz3+bcQyt/Ik0onf4Mt/3HDZtW2B1J44H9pW4Ddhq65WdyOHlc1l03IK2rhWJOZZKyy9m8GFnOzLCN+Oz6ygHUyDl4Dp+5ACq2aa4xSlfb/5ot5aktYOwQ9rP0ZNeXuHg+D17Axpz+OdQzOtUIHrLCSw8luA5ogWWms9N6uVZJ28p01jZtfXILwuyk0/g57WKQ7kNcLZ9ROSxFJp9MAn33k5YKqRn8l/RqNciUunCgr3fU+/wJsLMbTCP3s0+iw/w9RxOM0tDK3GZJO//L9PW/kUjZxsyzh8mwm4s/5kxiKYG+0lC5pAeHYzP/DWE2rSktVUqMQ+qY3U7q4hhSqKHI6MCDrB2kAPS/r4uzTw4Cjh6hnJpsmuh5eGsmN14T/qJqKov0VBc4egVB9779nPebmqFxjz5UEqF9HA2LF3NujU/s+NmG9yXLcZzlAuWudcJ+nQk7y67w+uTZjBvzju4WBa9F7lHuL8XP/64Ar/TNXn7q6+Z/ulLXPRZwo+LN5Pyugcz501jpOM1Vn/yMZN+SVHTGkjNU8sN4PuIKJ93aeYRCIznt8M9ifBbz4mAGzTw3sCK7leZ0qgXXtI9y5tf4tkmg5iMWjhknmNvkjMes4ro+9T8UdvXHHhzqjtt0hLIcKhF5qnjJLmMZ9bUgTS1zDSsz7DGmJFJ8gl/vLwPk9vECduMSxxLfJkPvh5P7yZatjMmdqS9URp8RgXkxXDOBXy6dMbjaKrkOIRemoyr+rmCSL/EDp/lrD9vjnNzC26GXcXEzYOp7zuTum0t2w+fJ4Z4Dq7zggMV4YVWDPPoikNRd1A5luTXh/FesIkEm7rYmj8gIfYaMWdcmH18JHcmq/MIvZnq2Yq0mEwcHB5zau9dXDz+j6lvN1fnEYnOfjyn/UZqIwmPKHZG2OP+n6lFfFkdb0t+57ylE80r3SQsuiJun33B++3sMSVPnuXTl3LcpiWuFa9xLPEVvpg3gc525gZkLcCnULzowrak+bHcbVgWDCqCFB/eXvyeUBVHW1PuJ1znRsxNnGevY7KrZSH1tU/y/GYJvqGVadu6GndiHmFvlQC8qG6mHR9G5LDsBPZ7zmVt6ouqvH5+ZzR27rOYke8T2tw1Za2xiYkEJP3EIDsTA3adwAuGfPqejthRsSoOY408Wke9uPrx4Qv7WLH9IJExqVpjbzVaDRvJ6w9+Vud4R0b95sOQiN9ZdeIQFxvMI3jF61yZ0itvLM7XN0srv3TBMzSowG4qX1vDkvXnsXRuTKWbkUSbdOGzqf2xCvHXH9u6cNCVQxRaeWXUWg4PuYHfqt0EXHTGO3ghwxq+oLKF7vgrre+VZOwsxRzgURRbVmzhcGS8NDFi3Y9woIKU9obi0bVu3hxJbebc1LNsnLnEwPwik+TDK5m+6CQ2bZtRMeYsiS0/Yt6HnbEz1TkiFziQ0Pn3QFz2myicui8Wp9Oy1S0yRGLQFOGEoxgVEJdXl5sogj9vL5wmBYlEZa4QIlcob2wQY+yGCe8LD/LaKEOFpyPC0TNUKPN5xYmAUY6CUQEiKb8uS8T5jxVYNhZu3wSLJBW9HJG27/+EnaW7CEhS9y6Wp5Gy5/MtXMi9dUDMdOsn5oXcFZJGqr+sy8LvnS5ijF+keKyuyo3zF8OoLhzdZongpIy82rR9YqpdYzEm4EZBX3X7QgdVOwfR3StMPJQuKK+JAPeWorHHNpGUz7RQD/VJrnh8eb0Y4zRAeJ7WyJcrlIlBYpKTpdDGs2R6aNlU4pQRIubWL2IztR0tC/lEtnhwbpnoV/1tsfRcqlpnpUgKmChgYoHNxENxefW7wrL6ZyLopsYLckX64XlisHd4Pqa6NBZC7QO8LVZfVqOfe0X49XcU7b3OikwNMnH+4r1JweKuhJ9R+OaKjJB5oj4OovEwb3Hu3kXhN6C5cPM8IfI8V+2jTlNEUKLavkIdA5Za+j5lf1SplxQgRmGpFWeSz9wQQZPaCct+y8S5B1KMGtJHKW4dmifc2v8gQvLjOVdkxawX7zSfKPwuq2NVlCB2cq8J/2H1hbbPCXFPhMztKHD0FKEaMz+OFH5j2og2X+1Ux/RjcXn1MGFJf+EdqfJ+oQz1FI50EZ6hGjl0e4KqNveGCBjbW8wNuZffKPdusJjUXMNT43/txKSgG+qco4kRR9Fvaah4oIqx22LfVFdh2X2pOPdQqsgQCQGfCLvGn4ugpCw1bXW8NXYTXwXH5dHKvihW93IQdPQWkdlC5N7cKT53aq/F67G44T9R2PVbIS48vFaMrPkqFC7oxNbI/FjuNiwjBo8zRWKAh2g8N0RookjkJovgSYMN21vlN+1Fd88TIk2TE9U+Xzi3CJGXi4vLYZqxZIDwOpeWN1YlbBHudq7CIyhOK18bGJs0Oa1YHxSGffoJ+xaPcWEHkc6yisdV59irpqTK8ZaifuMRYum5ZBHjN0JUd/tRnH6Qo6KtGos1+qq6aPKLdpzm5YvGbWbkj4HZl1eLXpbVRUfv80LKSgZj+wkcJEY6coimrn5LMWxpqLgX4ycGVO8nPE+nGI6/UvpeycbOUs4BxAMR6tmlcK5Um0Z1UOV8BFrY5o1r2vMLpbgZ/JVw0h6jlDHCf0wb0a/YcVUI3ffWSbuZ/9leWr7fH9eqmhWsiti7vkbb/Hmj4NGZ35m9WPD2oPbYq2aZCkzrvs7wodH47LxEyd7lVe/nSH+FESNeV89aK2BhZY1F+iWuJmUAxfPMMEr2fCWKFNI4s/YHZivfZEAb64KVLDNHeo92JfCzley9lbc7M++ZfCUcRwyju3ovIxZW2Fpc4cjV24YfZ1dpSp8vR9KzpT0vSBKYvki77m25sm4PYXcMPAgX8fw5fy6bWg5nqKtGPgWm9i50altLS5eS6qHVVSoa2N9Xq0cnXsn3CRMsW/RhdP9zTPthF/GiCJ38Uwsa9xrM2wSyant03mMIcZOjW+/zbr+XqZTfTlehAlVbd2Ok3V5WB18iS/KC25c4fjiW4747OfNIYppF/PGzOA5qjbV0s2MUvgpMzMwxoRIdhr5FCysnRm45z/7Jr1JoLaLta7jaa3a6VsT+rXFMaX9Ure/T9kdtPGrRtpOLOs4kn6nLWx4f0H7bj/ywIw6BAX0enWXt1z4oR75Fm3zbKTBz7MboN07w2eKD3BIgShI7uvZGIe091d5GrCTpz5/47JcmfDLRTR3TFanb5X0WrfiIHg1V3q+tZPHl3PvcunKJfVt3cCT6jurNc4X1q4yZ+yo1C2WzFnRylVbmpD8pRrrhMaUV26YtZ0e85EXVcO4zmvE9XbB/QXKaitRp14XuV3ayPUx6viE5Wl68/dJ0LBN7OOTRMnGgy6TvWDGjOw1N0jjj58Xih90Z5Ka+TiXqdh/I0COb2Hk+wUhZ89jl/68TW2Py41OwYVkxiEzh3q0kkvdtY8uRy9zJFqCoSYcxE3CtaZavcuGC2m82OfH+0JZU1SxgmNrj2qlF4aaSdXXtRX8ih1WginMvvhzflZb2Fnk+UceV7t3vsW57OHeeoKpdUWSvodE+qE1Dq1zUvsVirNU3v6gsBa75ndU5Pp07HQYypEVtHEeuI2X/57RWPX0poq+qmya/FNDIyxd/0vST0fRQj4EmdV9n0qIfmdGjAZqZQ0GPIqWiOKguF80hUqW67s6rDB3igpXjSLakBDK5dQXD8Vcq3yvp2FnKOUARKHSf2tHD/T3984tHZ/GbvZKHb/fFTTNGmdan+/DOHPHZTWSm3gFZxU47U6v555B6/jhbUx2Y1si2YAL0hHSPuX76CCFA4z2rWHhSk3kzSYi5T2zGX6o3eQs9In6Chq4Ka6pV0SGWqmlxPBO4bpTsuvhKT1TjOR14EhqOp3ohzzWhqk1trFPXs/fsXfr01Ey0LKhdrXKhZVo9lAtXK2rT6ct5dEyPJ+LILq4lxRP5ZwSktyBLSo76/lIvcnjrJWpNa4S9JiHqaltiPXQRMbJOYU29ZnVIn32MiDtDqKvH4Ar7rkz4sj7tVu0kYvjLtLpzmE2Wb7HIXt8AoMW/aisGfuTCgg1HuOjeHLtTx1HM/ZGJM7axL8KD115NJWSfLW8usc7rVCJ869CsnmYircVTX7GCHU07O5I+X9L3LRoajIEy+qM+GdT1Feo1pXP9WOYfiOTOsAbkvY/4pD4518MIDDGn4WSrIgm5MjYvVif1+4OcndeDNmWJHZ2ypnD+8HFSHUfQ1EEzgVZQqWF3JkzQ2aH4ShMnBn/vzs6xE+n8g/R2cGPc3D344vNxtNCkIJ1UKlKv6SvUT1/HgYg7DKtrj22nT/ixYzrxEUfZdS2BxMhdRKKkWZb6Bkwdb47TmuKQH2+VadhzDCrxcy7k5YuaNdnjvYiTGr65CarH2Bm3HZhTKlk1hHQdDeVHY3O3Lrp66sqKQXIuLw/+nGk73Xmn838ASxzdRuL+xae4t9D4RFHear+pNYJG9uX38pjCtjNf/tiB9PhIjuy6SlLiBf6MTCG9WZaBn68qKps0FymtD+qgJVUVh7HObhalwPVJQrWa1cM237efvK6/RuNrjkxrWrtgnlDJkZ4THPV3K8uVWo7Us9WaG2jGOX3xVxrf09B82nMAo3AwPL/Iy+tQs3Ew3gvzsw+5CZcgNovk+7lgW2giU4irFpIF9TnKLCM2iQqUWdLaXgv6e3zBIDstUpOns6SAXDmWiuOZw+3t+42QXZ9IOWQ9NLQDM5MMpYGVOX1ki9ZnJxGyai5f+mUy8NPhdG7Vm1ZmoczwK9qwyHmOkgxD4uU3f0Z65PMDzMwx0+9ngBWub4+k//zFrNrfi/cvncB12ByqatPQW7aixRs9aD5jM9vD3HDZVZkh896DG7/z0Z8RfFwznj/rt8fbQp3FSouvXv46Lqj0fdr+qIOvjiqzSmZFJnVFGimzeFikqtCpFO85AuPivlDPYk5yUGaUbP0fckkP38tp69dxy58warPJxdzZg00n+nIyLILo8ycJ9vekb594gg79QB+74kayilRSOWomySFrmf3l72QOnMCIzq70a2XGoRlHCpgVG2/qOHPuj8dkae9ywd/kqVI5i7R7hmQ14sangKRRpXK3YZkxEGSnVebTTUcYfDKUc9EXCA3eyOy+I7gatIVlfRwKJg75GpbGb/I76ylI+7iOs2r2N/hl9uLTEV1o1a85Zod+obi0+yTB4nywqF2L8eliMX5SAukpWI75KyXDNT2CwNPV6OtWeF+ZLurG1JXc14rBwRimhdoUF3+l871nMgcopId0co/wwPNY9+2kZ6/zEx1Aldetce7vzuRBDloNJjPViAmYjntlE2xadKCvZSKRN1LQvw5lQeO2nWnOVa4mPdJijGqD78mjsUgPasv3rzie16lslOx6pDKpR9vBrSEmkVtZ2ppnk5KcQIple9xa2OjpbGy1kqRtc+k9LZfP/JcxZXh3Xm1iS0G6kJzgCPG6fkvUphlufR25GXmD29riFWVdVj0yH3FfejJmzJ9I4UZkItUHtMe58HJpkd4KzBp3Y9Tb2axfNpOFNzrT7+XKRdroO1Vg0epNxre/jP+apfxh2Y7WVW1o3bMbaas24rvxDK69nZEe5kg/b1BqfPWx165XxnPuUKxa3yrFxEAZ/VGb7xNlgTI2nEPXnRjQ+WX1qt8TjVQVJo3bMLj5I2IS7qoem+e3Emkkx97Bsm8HWthUNDLu83vrKGTx6L72ZM+GFm7tsYw9R1S8dr1Aee0AW8Pv6aCRy4PYo4Td0nOXk30e395LCbNoQseebzNu8kI2huzGu/7Bgse1OqjCI2LPhXG9ens6O1sjknYwvfdiMj9bhe+Ud3jj1SbYmGkmjtIgtZsDjx1V8RZ7NKrIloZHXNsdTPhjh7x8EX6VpEKPWKSJRhhHo46WUladChhRaWzuNkSqiA3VOafUGFy5SbjvpywJM6VJx14MHTeZBRsPcNK7noHHrWq/uRnLjduFfgTNkOCFrxXNYSKebdM/YFqmO/6+Uxj+Rlua2GitPEoTowNx6Eq7hQlL41tJfbAYny4OY50/LP2w5Lg+iGFn2G3jdHxCaUHmo3St/KHxtViORv1VeJ6gvMrurRE6fqC8GBxUPIv43xNyaFVoxjl98Vca39PQfKpzAC0d8osPiN15lltGOWBep7y8nkL41ZtFtthlknzyJFcyDE0S0P3EUuHQk6++f4XAtduJSFevdIk0LmzbQlC+sAosWo9kybfmrF61l7j8x5WZJAWv4ddbJpTfgr2GafE8Kxklu4Ze0WM1Xp0wk5kVN/PL7vj8RwFCemPVN4z+y7+kf92yapW3VyPVsga2Vuopn0jh4qnzqpUCpTKFSzsvkKLLboq69P7qC7oG+rMp4p464HJIv7CLjUGxWsqUQA/ruji75JD2MFNNL5OkA0H8oecjLrEbdxKSqln9zOF+2GZ8TnTF6+sehh9FS9IpXqTb2OG8GHyTJkM7Fd9eSyPMG/H6sFZcWHWFJv1bUZUKVH2tLx/VWMuUoPq8nj+RLAO+2vw05VMnCEvSTFwySdrlh9f1fmp9n7Y/aoSQjjc5dSScJE2cZcezy9eP62Nm8PVbulZPtPpatGHCso+p6Psbu/N1ySE9IhDfgx1YPqs3dRVgXNxr6FpRz7khpD0kL8cIspOOs/kPyY81f+Y49P6Q7/ud4r8rDpCsLfvKo5jWzJv8m9g60NbyDrHJaQgyuJVogoOtgTi7GcSG/QXxqeKmeIUOTWtoGAMRHAlLUsewJNsBfL1uMMbrY96yNyP33i2upFahlm1V9appDikXz3KKHDKVmaRcOsr51DqqeOu3bw0r8vNBHq2Vu7OpWbk6rcdN41vrQFbtuJ6fL8iOJ3hpILcqmYNRsmqJXcZiudtQnXNKjUFFKcfFs37D0QLfVelYiW4dXkLbYgWqq/2mawhrN4WTrs6FIj2SbRv3FzTTlIzJYap9ejexrGWDlUneJF+kRHPq1E3IVKJMucTO86mFJzEa+rqOxdi1RD5dLMY61mhUMhWDq4k1Dm0dSYlNJkUIsm7dxtzB2vBTAhVdE6zrNcKFdB5mqHN9djwHNu9Ge1jI87XX2PfftezO/1qXlCN/Y7dpdaToNoyDMTlEF/iaOivD8Vcq3yvB2KkRo1RHc2wdGmKZkkBySjZk3SXR3M7QU9onuVi0YtySL7BevZ4dcZqlNik/7WXpr4lUNNfczD7ZVaoxmTVr1qwnLikqUdu1M93Yw6ypvxF16xIHN+3lZu2aZG3bwqaNi1l6rx3j32pFs05daH0niDkz13DqWiT7Nu8gqvY7TB/cBLOE/Sxfto7AXWFceaiAhxY0eOk+wT+t4o/Ag0QlZGKSqaBmi9rc3OKD7x9/ciwqAWHymNyajlhF/c6ydVvYFRbLQ0UGDy0a0trRAUcDPCsaK3uvRnkvWxRRXlG5Hh17vMRfWxfzw7pjREfuYvWqM9QYO4dvh7yMhUJaFQhgqe8GAo+dI0Hkkplbk2ZWUawuqmvrBlg9gb8ZNk7NaZq6kVk+IdxOOsOeTWG8MGw8/ZVrmbksnBofTGCok64grYB57RZ06ybYNWsm66PiiTkYSNDNatTLiuDAJl8WLU2n3fg3aGTToBg91Iqb1qBBU3OOL1nFwYQbhO0I4MgLDWgSsZPtf6xkzr7aDB3dGlvFbUK32fCZjxsxyxfzx6nznNq8hP8cqcOkZV8xpElVFNLS9QbvInZsSvPamlc6FFSsnkt8+IuMmNIRW3USLmICPadm1KieScSZurw/xQ17aZXGrCqVH0Vws8MHfNS6pjqpGYPvaF5L2oqPyrcucyvjAfeSFNQtZK/7XNy6lo3mjWl6OZAtYRcJ27yURWedmOmt0ReoUJWGT9EfVWCkX2TrokOYd7Llsv92wmJOsdnTh7PNv8T72wE0sVASv/9ndazo0qcCleu1pUer22ydv4h1J6KI3OPHqpAajPWaqradNDk3Mu5VsWNOzQb1sDnug/fBqySG/cmvRxQ0bXKTHdvXsHLOOWoP7UebOvVo27c79lGrmfLddmKTTxP42wVqj/+UAQ0tVI/8FFb1cXa6y2avrVyIPkqo3XtM7GyPztwlbhMaGINJtXDWbjpFzIUjbF21m8yRk3n/tdqYS/F58U8WbVTSqekV/LecIiYsAM9FF2g+c6E6hqGCTWNea/oXv85azenbcYTtCeL4C735qv8jls1cSUSNoXw01Jla9q70HVKTKJ9v+C74MsmngvgtzI7x0/vSsGIFKlRpSKceL3MnaAEzVx7j2uWDbN56hdrjPmWw42PCDMqqw9VVP42klR+pgVOb6lzfWDSu9OTHhrWwMyZ3G23DAbR3frX0GDQy53boQeJMcjizNpCwmAiObF3H9syBzH7/NWzMdU9sFOZ2uHZrA7vmM3X9OW7FHGJT0F/UrveYbQd+ZeOibdxrN5BejSzBmBw2pied2jUi9dcf8DmdSFLYbjYdr8ywr3qiXDabZRG1+WBkXcLX+xUzNlWgRpNa3D143YAPgl6ffij99FVR+zpia9fKIMZPeoqyeFwV1Wjk7MCDzSvYfOEC+0Lr8OHEjtjcPFgwLt/KIPPeXajbjAZWmq1bCkxr1qOpzXGWeB8gITGMHb+e5oWmtkTs8OePlT7sq92b0W3qYte2B0PsI/GZsoDg2GucCtxCWO33mD6gMRWlG0qDsW1EDhn8Cvc3+bIucB9hV5LIyLxLEg60biD9PJXCcPyV1vee+hxAsqYJVo2ccHqwFa/NZ4neF4Xdh6PpXNOch0bPLxpTx/FVerROIWjOHFaeusLlfVvZGmXPuOkDaFRRd2xpfEkhvVasOZGPMgLlj0Amd6Kv8di+MQ6WkLL/B2beG8HSQXV17PUpf+6lpxjP5tFuDGaB+rcoS0+pzD2TNzPafiqof4uxzPT+pwlkk7z5Y+wHo/5NNs2A9j+ttKycjICMgIxAiRAwPDUsESm5sYyADgRu72GGa3veXX+RnPRz/Lq5Bh/0KuYxpQ4ycpWMgIyAjICMgIyAjED5IKD7sW/50JapyAiARVWsFFcJvXydsN2xvPTxeLraV3q+V/2KPnpTbU1worbO55BP08i6txi0aF77KeynfZp6PCvaxW07eFZyyHxkBGQEZASebwTkx77Pt31k6WQEZARkBGQEZARkBGQEyhUB+bFvucIpE5MRkBGQEZARkBGQEZAReL4RkCd/z7d9ZOlkBGQEZARkBGQEZARkBMoVAXnyV65wysRkBGQEZARkBGQEZARkBJ5vBOTJ3/NtH1k6GQEZARkBGQEZARkBGYFyRUCe/JUrnDIxGQEZARkBGQEZARkBGYHnGwF58vd820eWTkZARkBGQEZARkBGQEagXBHQMfl7RJTPABQKBQqFGwvD0suV4T+H2E12TXpFjYM7m5NL+YFxSeGUXUyylvBUoBi9meSnCIJIj+XAmm8Y3mcEU+ctYN6kkYxdeDD/u6o5UT50UtlW+QvXXQAAIABJREFUQaOFYQXfI32KMj3XpHOvsG5gA6p0XUxooQ+oC7KTD7F03FDGTn4ftyZDWXjiTjHf/jTWZ3JI2TUZa5UdGjF6s/YXM58iWuI+1w6s4dvRA+gzeirzFs7lK/fxfL5wK+G37xK97gs+3570FAV4Hkkba7Oyyv4sbK5HF70+Xjqdcq+uY2CVunRdeJJ/6+hQOuT+bb30+GM5wiCPZxKYpcstOiZ/FjR130JGyDzql6OR/nmkatFzyWni/MeWSPTc6DUMLDqpsu7JkrvX8B/2lBFVXmHjp+/wVXQHFm9dx4LpXzDhTXuOTfkG75AUlR4mTd05khHC3KcsSolA+1sbm1HZuvqTEigv4ufhzva237Lyu08Y1iyTpHuaj2c/2TyvxlifMcG650LuxvkzTB+pcq4X6RGs+3AA722Efgs3sH3tAqZPnsEPPj7MGWTK5o8GMPzDbaRkqT/kXs78n19yxtqsrBo8C5vr00WPjxejks5cJvUxtcDazqSY3uV3Wa8c5ceiWErPgwzFCvk3NtCNjz5/LD9B5fFMwrJ0uUXPhy8VmJiZ8+zCu/ycoXwpKTA1My8BSSV/XQjlEi5P9lGYYFbx6SKac2UfP/1cmaGhHbEzVaicokqDdrwz6UW6OVkVyGRixlMWpYDX816qUJ9Bq88wqKicdy5xKFCJ3SgrzCwccN8SWLSFnnPjfUZhakZFPVTKtTojivWfjOHDlA84+utoXCy1/dAEy4a9+WbhI+L2TiO3XBn/U4gZb7OyavT0ba5DF30+blAZ/bmsQt3BrI4ebLB3+V3UL0f58SiO0vMgQ3Ey/p3XDeGjwx/LW1R5PFMhWtLcomPlr7wt82+hl0P61R14zfdH+TepLB6nF3mkrKBSkwHM/vF9nM3/ncP632SK54htJlf/+A8f/gIffDiIFoUmfhoxFZjW7ca4jxtqKuTjvxqBvz+X5cH/PMjxPMjwPDujjM/zbB1DsulZ+dN0SSNmvzeTFl2jasu6iKjTXHF4h2+nDqSpahCR9kXtx3Pab6Q2csI2I4qdEfa4/2cqbze1Un+/NZPkw2tY8Pt1bBxtMb+fSOyNy5xxnsPxya6YItE4zPLpSzlu0xLXitc4lvgKX8ybQGc7Q+siRvCW9to16oVXKjgu2EVAvdP8HCaoY36FLfus8PCdw4hmGjlBpF9ih88SfEMr07Z1Ne7EPMLeKgF4UQOInqPgUVQQK7YfJDImlZSD6/iRA1SgGq2GjaSrg5YeubeJ2DiPH/TKURo8pG+a+rEr5CApxHNwnRccyOMpbp/Cd8EZ2gUcYO0gh0LyZ8XsxnvST0RVfYmG4gpHrzjw3refa9lOai7ZbyXTF53Epm0zKsacJbHlR8z7sDM1o1fQpZkHR3Fk1G8+DIn4nVUnDnGxwTyCVwyloZm0+lj0T9qf8BWNei0ilS4s2Ps99Q5vIszcBvPo3eyz+ADfeZ24++tytty2wub+SbZca88Cn8/oqvGH7AT2e85lbeqLONs+4vzOaOzcZzHj7eZYqlhKe0160ssrHBy/Z29AYw7/HIp5nQpEbzmBhccSPEe0wFKh1Y6JBCT9xCC7HOL3r2PDwSNEkgKBPiy8WguH7qMY5mJFdvIJ/LxWcSi3gYp35LEUmn0wCffeTmreRfVVn4s0onf4Mt/3HDZtW2B1J44H9pW4DdjmdykuVvIbGl/IucLulTtItxzBG61sDXxT2Yrm3QfiTCWNwMXoqoWdXozrErtxJT+v+xmvHQ/p4j6XJZ4jcLFUEhc0nSHvriClzVimLf6OcSps9eWBHKJ83qWZh7T6Op7fDvckwm89JwJu0MB7AyuG1eWOwRyj34fzVsiLwinFUzFyv+7BzHnTGOlSrWjngvNiba4dC46MUseotI8pL67A0TOUS6o8CRTr9wWsC0padsr3cVPITuSwtxe/J1TF0daU+wnXuRFzE+fZfnz4wj79uazywfycyqgAktYOwk7NLC9/Lmf9eXOcm1twM+wqJm4eTH2/vfpJRIFU+aVSyvH6g58N5J7XuTKlV1785+ucpeVDXfAMDWKyq2WeGCo7rWHJ+vNYOjem0s1Iok268NnUEbikBpcMi5wL+HTpjMdRadDxJPTSZFwVWnWj1nJ4yA38Vu0m4KIz3sELGdbQIs8ey+ey6LgFbV0rEnMslZZfzODDznUw1YvRugId8gHVLkhjiaF8pe1/enKx53Ca6bxhlPiUYNwji9SIjcz8IUJHHlbLLOmpDwNttfSUix/PMkne/1+mrf2LRs42ZJw/TITdWP4zY5B6PiPFmL64UGNdahmL411CWxSbW/SApF0t9PwpQz2FIw6iu+cJkZarbpSbKs4tfVtU77dMnHuQLYS4LfZNdRWW3ZeKcw+lRhkiIeATYdf4cxGUlKXqlJsYIMY2nidCMjREssXd4CmiuWeoUAohcm/uFJ87tReTgm6ozoV4LG74TxR2/VaIC481fXQJWTzvPAGuCf9h9YWlY2/xTXCcmoe675gAkaRh8ThS+I1pX1hf5Q0RNKmdgIkiIEmStpg/ZajwdEQ4qnUr3DpOBIxyFNBFfGVAjtLjIUSezboIz9AHBayTAsQoHMWogLiCOrWclt0Xi9Npkh2lv2zx4Nwy0a/622LpuVSRB4tS3Az+Sjg5TRFBiRl5zZQxwn9MG9HPO1w8lmoyQsTc+paifuMRYum5ZBHjN0JUd/tRnH6Qk9dez/+5cf5iGNWFo9ssEZykpp22T0y1sxMt23mIFefv5cmQc1Gs7uEgXDxPi7xWOSJt3/8JO8sBwutcmuRBQpmwRbjbuQqPoDi13BLTLBHnP1Zg2Vi4fRMskpSSRpq+7lr2VLcramMduOXeOiBm/n975x0X1bE24GelKaIoAgKKDSEEWxQ19oixJfYSNfeqMRoVU4yJJfnUG/WquYkllnsVY0liSyxYAHtXjNjWCAo20CgtioIFFVhhvt+BXdhdtoFgzL2Hf5gzZ8687zxvmdlzZs8G9BSzI+4VyMm6Ita8214MWxOdx0OoRNKW0Xo+80hcWTNa+OrwzhCJYROFr5ZtzMWKEZSmq++EidEOCLzmirMWuLCmM8vGagnjHJEVvUx0orEYtye5gFvGGTG32xwRofY/836fIzIiZotaeArvgUHi/P1LYk3v+iJAyk8mc4wFPmzQZjki68oq0cuhvggMSyjQO/2Y+KqfudwkUbTM5lLLvFjQi9HcuNLOJRrfNef3hvxP38ezROKWMcJ7VoQ6piQlksWecf0KcoepXJaTl1MZukUkaRwmN382E82+2K2OtafiyqqBwoFeIij6saaV3v/n1MNk7tEfcy5ptQ9p58g8O3k3m5qfh55dWSW6OlQWbYIuiNzsWFQW4r6ImNVGL+bUdbUai4GLz4r7sWtE78o9xdwzqULkJIo9n7USvuPCRGJunsoRqpsbxTD3gSLo4j3zttKjqjm0LIY1/mcoF3uLYVtuFvi+pmP9/6b45MdWZS3f0PiyVh42yUBrPtOXLR1bOp/lzi+eotMipcj1SNUNsSWwsfAeE6peB5jxx+fR0azsvIEZnxe1bWF5bjGES1Nn5rGvF50D6lFRcwNHUYmG/QfR69B3fLvzFoJKNOj+HiO7NMKjnNTIjmot29Pp2m52KKV7GpBz/w7XksPZvu04V+9m5m1ObD2YWf4ulOEB59YsYsHjTvQN8CTvNmRZanTqw4DwYHZHP9Jep+qVzcvOvUC91y7dqy+DOxXIcHSpQHr4dZJy97erSNr1Hz4N9mXEgMYF47X2wL9tQz25z3nYeQjDjerxPDyKrlfVzm15raJm/5cVDg27816v80z+di/xAnjyG2tmLOfxOz0I8FDfvbSuRadB7Qhfto/oTAG5+y3Sudu6D/0buuE1ZC2phz6jqYNp18rbn1AWr8ED6aS5o2fviIt9Mn+07c+g+uo7smXKU8nNlsgLt6T7cEAZKjToyviRHWjsYQ8osK7mT6dO91m7I5K7+RjUe03SX2Pw4DfUdx7KYO/ohH36Za4nab68YemelAecW/0tM1Rv0buZU8EdNBsvur3nT8inyzlwx/A3wkXSPr759ACNR/TCP5+3HR7+LWier6+5WNFqWOpFS8dqCWMFNq92ZsS7D1m98QTJkl9Jdwwu/sr57m+peVji95p9yGVpPeBtGjr6MmTbBQ5NeJ3ypnKMJT5skKcCG++ODH3nGetW7uWaSlI8m9TjB0j+W1f8ymqSosGLsdTm0tUG9+oU2sdkqd8b0kffx1Xcv5NE8sFQtoVf4e4zAQpXWg8bhb+rjaEOdOsK7V9W58+ffPhkdIA61uyo0X4E87//iM51yulen3/0nHqYzD36Y5aEanwoXwG1nXbh98l7dFbnIasabzBu/ndM7Vzb/L73QiykvqX93foP1dR1d19nQP9GOHoNYVtqCBOaVuLJuV+YsUDwTt9WeOTu1Za2YbzBoAFXWbY7ij+KZStLY1jjf4Zy8TXCr6dQMl8B60jg8PZG8rAww+Ay0srB3J/Z+ayCH93HD6FLYw9yPdK6Oi07Nefa2v0o70qjNOWP1s+no1nZeaMzPi8W2KIoucUUM30PNdU295zCpSb1qsYx43A0dwfWxqXtJ3zXJp34qOPsvZFAYvReolFRT/2tQatXe/P15AO8/247vpV68OpMYOBYPgusR5nsS5wJOQWuruwPms8pjfScBGKJJyNZepFARU2t3n9rs7J1LnCrRAWj65FULhw7QVrVwdT1KMoXPHQkWHZgSo/s+OfgYZl4k60UTtSsV430Gb8Sdbc/1VKUhESAq/cegublW4echMsQl0XywxxQf1G2ar2auJieDw2ItsetUnn0zWLv4oi0rDP2p3Bpx/jvWpMeH0343uskJV5kV3Qq6fWyDLy6xolKFYrs5oVFa2xTZySVNevl3FZWVHR2wyltHQd+u0f3LlX0rs0m7cIJtqd5MrmuqceuYDJW9Hq1+NCpFq+9VhnO3yI5LRtcdJTX6kaQcfUAe542o3f9hDw/tHisZhgrPAn4W3fosZ7QCV0I9MtAGZpMjxE+5C41NGwtygPVqFdTa/EtTbUmcoz4fZd5Hy547q7FQ1oreNJ11FBqtdxMaFQ/JjRJZX9wOYbMr16w+Ne9Qn1kuc0NXm6ksmh+b6ST3Gp7Xu33GZN3B/Juu38BDngFDCHw87EENtTaomKqC51z6vzpNRi//C0uCsrW6cSoUToN9Q5KRo/i5R5JFY2dvJjs51Zg07JedBnlpadrCR1W9aKmi3Y+esrvZ8KJALz3r2TeKU02zCQh9iFxGelUn1kMW2liymwMV1UPzHAuLqFRA6ZyhDkGf/BQZ3uMhVrpzWc1XNxoO342bdLjiQrfy42keKJ3RUF6Q7KkD0CY8sccft9pyk5mdFSYk609JlO20Pis+flEu0dDZW0vNHTeaJ1NWRuspP1gEauZMf4XMvuMYnA7f3o2seHo1PCC67LtaTB2DSf7jUd5PoYLZ/ezYcYgul//maOLa5D1WAUNejFmQsHeEeniCZMKujBcskC24QsN1GajyrDks4WBS01VpUcRcqYSPQJqFFrgGL4s+zl4GO6xWLU2tthIawRVFo9xokGvQCbo7BecwKSF6p4N3+wqlljLLpL2sZxg5Yx/sCazK2MHt6dJz/rYHP2JNZZ1UMxWatsYvTqTDJXhz8jZqizLvgRkKlaW9MC9yItraWXkTedR3XAYepyD51Lo1kVrktMZSxbJp3ZyrpY/vSn+WHW6zD+wxrVdXz72HcSaXTEMdb7Nxntt+MpT80HrOf3eBLeDoyzwYQMfGfJUV2Dv34vPei1nwsqj9B9xgzD/7vxYUTNB5w+wUMFimxe60lhFSfq9INv2NcYGh9Pv1FnOX73I2T2bmNFjMNfDtrGku2fBQkijjslcVtz8WdJ6aJS1/H+x7GSSheWy81oKVFnS3NOQXmM+p6+71pQ8YQoLpT3xDx4WzVa5HZd0DBdhXEXmY45BEWQbaqqZz54lEbFyFuPXZNJn7CDaNelGE5uzTM2fOEz541pGmbSTIcFadWZla7U1UyyWzxro03wW07tIpNwk+rYvvdu9SqWknUzptoDMT1eyYuK7vPm6D875m/xzSI/cx74tC+i2MBJ7n5Z0GTCCCXN+IeLUPGpJt1rTqtO8X1OIvE6S9Agx/09KdEqOXzP+ClFhgezD8ZYu6JxpGNAKh9tx3EwpwdXMo1h2K1Msf32GVc1i88hH9zwFkcrN6EQq925Fg8pWWHk3o1/9VCKv39a77Z5J8qlTXMvQttnzCC7CtSKe0CkfMDkzkA0rJjLozeb4OGvdrZASz+FbljO3VLTGNrGJ3MnSHvczUpMTSHVoRUBDZwO9WeHcsDU9HBKJvplq8iXRzyKXG4+V3McSBro3W2VHnXf+j6XDYOXSrUSlG16gknGFvUe86OVfGYo9VhPKVGxCvzFNiFj1C6t/PoLH4Da4ahazGnnFyAOSRFPcIis1fj4ftvGm69C3YN1CJs1Lpm/PV/LuVpoYqvTYz1KbG+0m8wkPs7TOlqjfPyZyxVgWKq3xadOVAcMnMGfTYU4F1dTbOqEl32QuU+fPuPPE6ORcgerGYbZH3tfqSLtY0npo922oLMh8kk4BVo2d4jge84dubKqus297lOGXWJtkIcnN4slDS+cee7ybt6M+17me9ERX6WeJnDp+nhNFtZXUiyamipyvdFUo1pFZPvq9mmMQh2aTjv6VJo915rMckkJn0W1yDp9uWMLEQZ143cdFK5bvExmyky1BxuIilkom7WRKR5UFssOJt+iFHBqfNT+fmGSTu4HKZItINoUqSdPMdSIV5fq1nOw/lS/f9kRIe23SKlDVpaJ6b0Q2qZd+4zTZZKoySb18nKjbGdxet41DSbrBoOjYDL8qTjQdPpmvnEJYufP3gs/fz+LZsziEO3bG95/k7iU0I/tCqqULOVs8u33I1x0iWB0cSbp6vCI9mtBNh0wS0jlp5YRncy9S45JJFYKsOynYejqZ3zeS34ljsXnkd1GEQtym3URIjwJz/7J5qNzKspMdWPRlZzykidm+CcMXfo7TqnXsvKUJP8GzpAMsXp+Ina1m9i6C0OdtmvOQO9du41DVGUerPPki9SqnT9+GTBWq1MvsvpCmm8ifV2bu9ZV4fdQ0ptlt5ad98fm+KtIj2bhCSa+l4+lVQ3MnS1egwrMLX3z9GiGrdxQsvsQDLoZuI0y3qYlYsQLxB8emv41Th7ladtPrwNBhWT8G//snlnoEM2bias6m6Mai9C3Nrd9so+znQ2liLzEt/lgNic+rc6BB94H0TljAh5tr0q2J1nsneX6/N5pjajR/Th+2waPjID6ufp4LPm/T0cN4TtIee1FsjlMNGjTK5sHjTLXfZpJ0OIzN2j/8UuJ+H8+6jcdJyn3cpdG8LB1bv0LuxoUi5TJ1/ux5mn9/fzj/14R4Fs/e5cexdi2vEWDgf0nqod29FU4169KIdB5nqHPcs3gOb92HNtY8O7Xg4L9Xsy9ZExeZJO39mX3WlcnV3CQLR2o2qAMPHpP3WVjKjyfYuvmCtjImygrsmw5h4Ve2rFp5gFv59sgkac8PrL9jRVnMMDLYe2nEsEFBYJKPkWt0qs0zMJxZdTrB9HyWt58vzaEKLo7qGBapXDot2SkLlSqVy7vPczvHGGtfapixk3EdLZF9kVTNOkt3WIWOipRbCl1dUGE1ffr06QWHBSWRoiTUcTjLusez9OuNnL58kq1zFhNeM5AlX/XGx74MZZy9aeH3B+unr+JMyi2U+8M4Ua4bX/R6wpJpy4mqMoAPO2dzLFFFpXObCFZe5mL4NlbuEAyZMYQWzmWxqlCHtp1f5W7YHKYt/5UbV46wdfs13IaPpV/d8oUfP6hVtET2R2/lsG/JSjaHHCEmIROrTAWu9eyJWRXE2pCDKK/dQ0EW9rXrU8elOv4dm8Heb5i07jx3Yo8SHPYHbjWfEnp4PZvmh3K/ZR+61lW/HqAAVUFJUYm6DTx5tPV7tl68yMGz1fhwdBtcsy6wcbFlenhV8y4Gj0ziD/3IkrXb2KuM47Eig8f2tXjl4QH+s2IjIb+eJ0HkkJnjSsP6btiKFM6GOvPpsgBily5g8+kLnN66kH+FV2Pcki/o71NRzd2aCnVep3PTVMJmzmT56WtcObid7TEeDJ/Smzp3jrB0yVpC9iq5dieDzPv3oEY9ajtqPboooKMuSXeEt7BYT696jjGs0vT1WAGP7an9ykP2/EeP22utad/Om7T137LsTCJJyn0EnyjPwC+6oFoygyVRbnzwUTsy961kxeZd/BqTgLB6So6rF44xv+gxqozN6V9Ymd+uDFV86+Hye0i+frceP+FR0mMcG/riVrkWbTq/wh/bF/Dt2l+5Gr2XVSvPUeX9mXzV/1XsFdIrQoL05PpR360Sbv7t6Mh+pk/6mZg7lzkSfIDbbq5khW4jeNMCFt9vyQf+D9h3y3isKEjjwuYf+OF8FXoP6YhPBWP79wpBR2FblUbd+tChfAwb58xm/sYTXL4RyeGQjYSehpaBgXSvUxBvivI1izFWQ4zr0LR23pd3FJWccEhQ8rTP53zSpIpWbCsoYzIPWJOQ799XuJPxiPtJCmo0rY2jAqRcFWKUW3mTPlzX7qERm2leeSN9j608Ij4J78HDae1iPMXrUFeUtcjmI7vWpZx1FWr72XJi4UqOJNxEuXML4eVq4xO1mx2blzPzoBsDhnWhbcu6xfB7d7KP/qTlk5KP++JwLZxbVtmcWx2CMjaK8O1r2ZHZhxkjWuBsWwYszWVUwbdZbRztPGjeoxMeMauY+M8dxCWfIeTni7iNHEvvOvZattampCLl7JFi6eF821zuUWDtWhM/5xMsDDpMQqKSnevPUM7PhaidG9i8fBkH3brxXrMauDfvTH+PaJZNnMOeuBucDtmG0u3vTOntjZ30WcgYC4kTtrjWronziWUEHblOonIX68MV+PncZueOH1g+8zxu/V7jYfAK9ZyTREbmPZLwzI8LylSkTtv2NL0bxsxpP3D6RjQHt+4kxu1dpvSrw0OlGUbaSLXK5mO4CLlYHWta3RcUjfIxFFtGcoSXJ15GGfjk2aFAom7JovnMBmff+vilbWL6sghSks6xP1hJuYEj6aVazbQlkVT5YASdn0SRaCwuylYyYSdTOloi+wPeyjzMEkvmxaav4tPU/HySm1t0SekcKaSv/erUyAcyAZmATOB/moDg2d04Yp660cDTAVIPMmXaIz5e3Dvvjvj/NBt58DIBmcB/A4Ei7/n7bxi0PAaZgExAJmCcQDJ7pvag0d/WcSn7PlHrD+L+QQd54WccmHxGJiAT+IsRkO/8/cUMJqsrE5AJlDaBZ6SEL2Tkt7E08LZG1SKQqQM0vx5T2rLl/mUCMgGZQOkTkBd/pc9YliATkAnIBGQCMgGZgEzgpSEgP/Z9aUwhKyITkAnIBGQCMgGZgEyg9AnIi7/SZyxLkAnIBGQCMgGZgExAJvDSEJAXfy+NKWRFZAIyAZmATEAmIBOQCZQ+AXnxV/qMZQkyAZmATEAmIBOQCcgEXhoC8uLvpTGFrIhMQCYgE5AJyARkAjKB0idQxMVfNql7J+CkUKBQ1OW9rdo/lFPSymaTfuMIP/xjCN0HjWf2vJmMGxTIvGOJ6p/WekLMst4ocnUJYJ7S+O8Al7Rm2v3lXF9Lnwo16DDvlOHfgdRubLZ8m73jXlOPKZCtyZb+PJ3Zjv9iDV4Ah9S9jHOS/FiB4r2tJGsI5VxjbZ/aVOiwgLPpFv3YouZKA/8zub52CBUq9GLe2TQD5+UqmYBE4EXmVW3iLyDOsi+yrK1TXpzVnYfSaEp7AbpoD/2vXDaWu17KMf1Zvv1SwniplDKx+Mvg6g/j9BZVVjh1mce9WxsYWKrDEKiuBzO2yz+52uZrtm+Yz5TxH/CW+zkmjl5JxENpUrbHL3AbGRGzqVWqupjp3NoeJ3fLf2bLdG9V6bLwDLc2vG+62X/92RfAwakLC+/dYMNAfe+xobxT5SISNhQreV1Yl6+EexF7K35z43oUv8+iXvky6FBUnV9ke0N8XlRe1R/nC4gzq/oEht8gYlYbfeF6xy9AFz2Jf9lDo7nrZRzRC/LtnMv80GeBiQ8XLyObP1cn4z/CKu5w8fjv0KiwggprG+wKV5dgzVOu7fuFH3Pe5uybnuQqqahA7ba9GVe9Db4VNGtWBVY2tpTU0qs4AyhTox+rrvYrzqVGrlFgbWPh74ca6eG/o/oFcFBYYWOn5z1latF31Tn6FgWi0Vixo0bff3O1SJ0VRbBeW6N66LUrzcOXQYfSHN/z9m2CT+nnVUPKv4A4Q4oz41NNgVYvQpcCaX/pkqHc9RIPqLR9W/wRw/HL2YaWKy8xlT9XNc0qSlcL8ZDrIUF88+MD3foXdpTD03R92Q749J3Md4GNsM2Wf474hZlCFmSawJ8eK2r1XgY9XgYdTFvrzz0r8/lz+cvS/ysJiPSrhCz6Nz+q/iuHV2qDMvBx7CEx21az49gFYonnyNpFcNgOyjVh4JgOeGotF3PSfmPTtIUobZ2xvbqPg/YfsGLuIOo5aO6mZJJ8bDlT5p/CuXk97GJ/I7HxR8z+sB3u1grDg0qPZOOyHUQciYfUI6z9Dg7nylSRcnojcza3YEvSf+jrrq36A2IPBTFu/g0qNq6BiDnDNc93+WpSH/zydRE8Sz7G0imLOeHcGH+7G/ya+Bqfzx5FO/dsYpb9jXpjQoCR/HysC1Fr1nFyy01qB23k+4He2BjSVtp7Ubcri6TtXEO3kLS6L+5adV5z9rKl5hl+VAqq2V5j20FHxqyYyeB6jmhGL9Ivs3PZQlacLU/zppW4G/sED8cEoLpaorRn4gvqdp1PGl4M3XKY1X09yY5ZRvt6YzgOeM09y+UJ/nl3SMkm/eoeli38hQsOvtQvexvlVTsCPv2cES09sMbTBmobAAAYV0lEQVQUB9tcRkFzgklwroGL7SMS4m4Qe64RM05MwF8buT6PZwkcmjuL1WnVaeDyhAu7r+IeOJ2p71j2s1gly0Ea4yHmTv6ZtLq+uGTEsDvKg8B/TeIdvwL2+kMAad9RF7ouigRGq/3MygSTUZQLNRYrb1B+f2G75ck0Z6PCmqG2m2HbmNKjBY+Wm/DtTteZqO/D0j6t9u0YczxNci7OXi6wfZ6dlrLugi0N6ttzW3kdq4AxTBrRgLQisjDkw4p8v/Zi6M/L6B/1CytPHuVS7dns+X4AdWwwEcfP4b9kknxyA4uCjpHjI/nMZX5NfJUPvhxJNx9HFEWM68IW/JPzqloh83GmbvgsiZNrlhB0NBOfBs5kRJ8jsd57fBnYFR8pp2rxyM99Jvwmt9esKxwKGs/8GHsa18km5ng8nn//gklGc8R9Ijcu58e1P7Jo52PaB85i4dzBNHJQcStsCv3/9j2pb4xh2uzJDGlUqTBy7hO5YRHfffc9a8648s4XXzJl7CtcWraQ7xZsLbjW6warPvmYcT+l8sa4qcye2QfX00uZvPoP6kpjv3CMKPf3+dfUvur5RNpvbmFMvTWeuc0yiM2oimfmeQ4kNWDM9M9089CzRI4tncX8E/Y097cj9tc0Gn8+lQ/bVdPN6d/8wFnnxjR1TCP2UWUcU7LAxcCwdaq0c1o3Js1twoPYTDw9n3L6wD0ajfk/NX8zY5LmQHM+oZErHnB15wq+WXEe5+YNcbx7i0ceZUlBo24JzmmN7hP6/TaOReuuF8o1GcCYDjXQWq5otMv7LzEPWsQvCRXxcrHmYcLv3Iy9TYMZa5lQ+9eCed2s/TJJPvRvE76SJ8543myVtxYy6wO66pfIkTDypzo7V3jRXsw9+6hwi6QtYqg0GzWbKvYkZeSdf3BQTHL3FsO23BQ5uTUqcXvPF8LXd6IIS1S3UcWKDcOaiZ5BkeJp4V61ah6Js3PbC7zmirMqTbVKJG0ZLWC02JKUXyny9PQUneaeFA/yBAuRkybOL35HVO65RJx/9Cy3g5zbu8Vnvq3EuLCbIu/qp+LmhtHCvef34uJT6cIckRExW9TCU3gPDBLn718Sa3rXFwFzTwoDBDRKCZFzQ2wYWEswdItI0tSq6xy8uol/7LmllpciDk7yFw7DtogkjZ5Po8WaYa10dVfdFGHjWhYaZ86tDWIgXmLollsaKUJkRIhZtRBec8+qZeSIp1fWiWHeAeILjdxnl8Sqrp6CNkEi+pkQJjk8viG2vN9NzIq4ny8j594eMa6+th3yT2kVssWDg/8n3B16i0XnH+SyVCVsE4Hu/mJM2C21P2g11y+WOAc1606LxfnHEuwMkbDlE+Hu/ZkIS8rSkn5LbBnqJXRsJ7LErQ3vF/DPuWmWialYKWw38zbSUrCg+Fx6mPFtQz4s7ouIWW10YzDXTs1Esy92iySVxPWpuLJqoHCglwiKfpyra9FYSKbR92FNnYOo5T1YLD6fLGLXDBaVA74TZx5ll5L/qsSdo7NFQKtvRcSDvHwh5YOs2HXi3fqjxZor6gxgaVwXWK1QyRQfUdp51dI4y0kWR6f1FK1mnyjIqeKxiF0zXNQftk5cyc2XUpgbyH2G/Eao87lDLzH3zL38fJDz6KxY3LOR6Ln4rHiUmxMN5fgckXVllejlUF8EhiXkXyvSj4mv+mlydyHMWhXq3MQ7YtUV9ayTc02s6eUlWi36TWSqW0px+vdxe8Q9SY/cucxTdFqkFLlerbohtgQ2Ft5jQgtyt9n5Qp1btOc/kSESwyYKX4d3xOLzaXljyUkUez5rJXzHhYnE3JjKEaqbG8Uw94Ei6KLkd+p84dtbi12OUCWGiXG+DkI3d2kNW6eo4dpSa/7T9OGlxd9EnrDUJ8QjcWXNaOHbaYE4kx9L6nHrzV+Fc6Mm9os2pwmNf+msF3QA6B1kicQtY4T3rAihXpkIkZMs9ozrp7XesdB+lviKubxp1gf01C+hQ6MLY/MrS3c6B/6dTu7q3X/2jrjYXyP8egrZ0sVPfmPNjOU8fqcHAR7qNta16DSoHeHL9hGdWZKPbr3oHFCPiprbaYpKNOw/iF6HvuPbnbcQPODcmkUseNyJvgHqPYSUpUanPgwID2Z39CNAs3+wLK0HvE1DR1+GbLvAoQmv42AKhqG9F+q6dK++DO5UIM/RpQLp4ddJygWkImnXf/g02JcRAxoX6G7tgX/bhoUkGtwzYWWDzpY1Ec+ub2bxk9/7jO6slmvlSftx/+T7qZ2oY2WGw4UE7ly7zMHtOwm/ejf3W9UKp9cZNut1XE16ShkqNOjK+JEdaOxhn8vSupo/nTrdZ+2OSO4WGo12RSlwoBINur/HyC6N8CgnOYUd1Vq2p9O13exQSp8/Tf3p7TvKeVhMJnkyCtnNrI2M6PZcepjxbUM+XGifltpOP/nwyegA9Z17O2q0H8H87z+ic51yRhQvqC7EQjql78P5dencbd2H/g3d8BqyltRDn9HU4ZHpOC6u/z75jdVfLkM15G2aVdQ8tVBg49WR9948yacLjnBHSlcWxXXBeItXKq28ammcCZ6cW8+XMxQM6d2oIC9hj1e3AbwZ8g0LDiSRm70t8hstClXbEPCaU/5TD4VDI/q/15JDk5eyMz5Lq6F2UYGNd0eGvvOMdSv3ck0lSc4m9fgBkv/WFb+ymqSvfY12uQwVm3ZkiPsBVu25jCRFpFzmxLE4TqzYzbknUn9ZxJ/4Da++TXGSuqvgR/fxQ+jS2INcr7auTstOzbm2dj/Ku7nJ2/L5onkL/DXzH3Z4vD2cia2OM/nbvcQLifUvzFggeKdvKzxyn4YpsK7xBoMGXGXZ7stkqvNFcONBDPDXsFNg7dGIts2rag/UgnJD2vpLT3+kP6mPjoyZ2ITQfP7G8kRzyljoEyJpH998eoDGI3rhnx9Ldnj4t6C5noYW5YPi5ks9WbqHKu7fSSL5YCjbwq9w95kAhSuth43C31XvGZ9J+1niK+byZlnzPqCrfIkdmXqQZ0aIPW6Vyhu9rZr9u5KQCHD13kPQvFP5feUkXIa4LJKlb+y6aBJt/ukSKyhcalKvahwzDkdzt38tzoScAldX9gfNJ1+bnITcR9sZydJrYiqqZVejXk1NkD2nOm6VyP9uSqGuUrlw7ARpVQdT16OEvuCRdolj2y/jNdkPz/ycWJ46XYYxSpKffdE0hxRPZn4dyO73R9PuW4mJNwGBY/j8s+E0NLn4A4VLO8Z/15r0+GjC914nKfEiu6JTSa+XpX41TyEA6opS4IA1Lm0/4bs26cRHHWfvjQQSo/cSjYp6WZrkbUwfvXorX/oVk4leT3mH5mxk8CJpkVQSejyPb6vt5DUYP0/N170UlK3TiVG5zmVM8eLXV61XE5d8P5b8N75U/DcvV9lSZ4Kj3pfHyuNcvTJpXx/ht9lv0cVJPRaTcV388eZdWVp51dI4e8rvZ8KJwI0JlfXyUkVnqjtd5OsDF5ndvRoaHMUfsTUuNb2omr6Kw1F3GVjD1XBXCk+6jhpKrZabCY3qx4QmqewPLseQ+dXzF5KGL1TXVmxCn48aMWdjOJcC6+N++gSKWd8xemooB6PG0OL1NCIOuvDWQvWIFG60HT+bNunxRIXv5UZSPNG7oiC9IVnSQkHnr4gxVcYdv3ZepH/zK1F336ZOLmvw3r+Seac0STaThNiHxGX8wcO0e7k5verkunhox4KODsU9sKOm32vUSl+r5u+h7kh/TJb6hBtcOMH2NE8m13WxzDbmVC9uvjTZrz2v9vuMybsDebfdvwAHvAKGEPj5WAIbanKbkQ507NefGi7mfMVc3nxCjDkfyH9cbkSnYlZbuPjLIT3yAGec3iAgP/GbkajK4jFONOgVyIS+nlqNJzBpodZhKRdtytpgRTZZj1XQoBdjJvTVefXGhEmlrIDR7rNRZWQaPVusE9kqMkxuejXHIYsH98cQfLIHp5RRXL1wij0b5tKjezxhR7+lu7vep6J8JaU9didYOeMfrMnsytjB7WnSsz42R39iTX4bY4VS4CDt34pYzYzxv5DZZxSD2/nTs4kNR6eGG1PCRH0Otg2KwsRMrJi1kTFVSlgPY2KM1hfHTmZYGJVl7EQp+W9urjImE1BloSriZwYTvWmdKgafYudVS+0nUGWZzkuqDFXe0x2tkTxf0Y6yNqZuBCiw9+/FZ72WM2HlUfqPuEGYf3d+rKhZLJmT7kjDNztTf+pWdigDaLS3PP1n/x1u/sJHu6L42DWeXbVaEWSvXl09SyJi5SzGr8mkz9hBtGvSjSY2Z5lqPpmZU6TgvI0tNlYa1g3pNeZz3X3sE6aQO02m7DCT0wu6LH7JHH+NnsYl5PuEFCvGmxX9TLHy5X0iQy7g1KOtzncUCoQLsm1fY2xwOP1OneX81Yuc3bOJGT0Gcz1sG0u6e5pfuObaDzDrK+biTsPWhA8UKF6iJQujJ4dHccdR3rHcrFbezehXP5XI67fRTSWZJJ86xbUM/U9QJTouRMpNom/70rvdq1S2qknzfk0h8jpJOo+bpUWLkuPX/owXRDvTMKAVDrfjuJli9M2npqFkPuGh9tMS53oE9PAi7ngM8Tp4n3Bj3x4in3qa5hBznBXdFqO096FNl3cYPmEemyL2EVTriOnHpSKe0CkfMDkzkA0rJjLozeb4OGt9gkqPIuTwLQy/MrnkOYiknUzptoDMT1eyYuK7vPm6D842mo/N0oS7j8Pxul5pFPSzC0VkYiZWzNnI2IulS1oPowPWnMjiyUNtRmo7xZ0nRoedQHXjMNsj72su1PpvhoXUUt+Hta4uVDQXx8X037xc9YTYhHu5jwXz5YoHJMfdxaFHaxo6m1qc5F9RxIIFfPR6LH5etTTO7PFu3o76JJBwJ0NHukhNJi7Vix4B9XDWOaN9oO832uf0y89IuRnH7cqtaNfAzH1EG2+6Dn0L1i1k0rxk+vZ8xfCX8PRF5B4rsG/yFiNbXWHDD4vZ7NCSphWdadqlIw9WbmLFpnP4d2uAtGEFVCSFzqLb5Bw+3bCEiYM68bqPi5YsaWERTrzhZGZQuk6lKp7zR+Oo3LsVDSpXULO+zvWkJzrNeJbIqeNxZKjzxe3om6To5HTd5sU7ekLceSW/m+VvqU9Y4dywNT0cEom+mZq3NaCoiunng2Lly0fE7f6NO0Zt9JjIFWNZqLTGp01XBgyfwJxNhzkVVNP8NiUd++VY4CvRVGzXCgejeTPLvA8UlaGF7Y0u/qxcPGnucJe45AcIMriTaIWni95jAFNC7JswfOHnOK1ax85bmiQieJZ0gMXrE7Gz1UzGpjqx9Fwkm0KVpGmCQ6SiXL+Wk/2n8uXb0irekabDJ/OVUwgrd/5e8BjyWTx7Fodwx87YHS1L5RennS2e3T7k6w4RrA6OJF2tu0iPJnTTocIdOtWgQaNsHjzOVAdVJkmHw9is/SMrihp0++Jzeh78ge/3xavHKTE/zPJ9z3AtX9k0h7K2cDuMjYc016rVULxGa78qhXXS1OTuR7uNQ1VnHK3y7CpSr3L69G3IVKFKvczuC2lGkkHJc8i5f4draRWo6lJR/Rgvm9RLv3GabDJVmaRePs6F1CIsuM0wKVKsmLWR0ZA0a5si6aGxXe5/R2o2qAMPHpP3mUzymRNs3XxBq5XaTj1P8+/vD5Osefz1LJ69y49j7Vo+t61JHSzxYS2JhYtm4ri4/mvfjFFLPsZuxc/sS9IseLNJjwphxZHWLJ3ejRollK5M8ik84MI1xc6rlsaZAvvX32fJNFjx0xGSNHYW94nauI4jvWYwvVct9Z0RS/xGawhxuwiNSMnPA+KhkvXLoui/6GPe9jCXg23w6DiIj6uf54LP23Q0215LrlS0rcsbA5twceU1fHo1oSJlqNiiBx9VWc3EsFq88Wqe/0qLP2k/WJpDFVwc1TqJVC6dlmIhC5Uqlcu7L5KqmWv0xBQ6PH0SZb5PZZK0dw2Lfu/Joi8746FQYN90CAu/smXVygPc0rAmk6Q9P7D+jhW26nzRIWQDwVH31eyySb+4l01hcYXEma6IIlyZpDMvrFh0k2Fm+VvuEwrPLnzx9WuErN5BVLr6drl4wMXQbYTpK2dJPrAoX9ri4lkHh9QEkqW8nnWPRFt3M7vK4lm38XiBf+fqVpaOrV9BZ6YzaT9LfCUWx7c/5GujedPBvA/k7lM9wvQOr9Lh6+MF6xx9nkU8tpo+ffp0Q9coHGvRwPceWxdt5+LV45x1/zuj27mRFbWFxSs2EvLreRJEDpk5rtRzjGHVkrWE7FVy7bECHttTu6k31bxep3PTVMJmzmT56WtcObid7TEeDJ/Sm7p2Ria5nFscWrqUtSEHUV67h4Is7GtX5+GeFazYvItfYxIQVk/JcfWjvltZRIqSUMfhLOsez9KvN3L68km2zllMeM1AlnzVGx97SY6CMhXq0Lbzq9wNm8O05b9y48oRtm6/htvwsfSra03CoR9ZsnYbe5VXuJPxiPtJCmo0rY2jqaQvvZZm8Uo2hxwhJiETK6rg6/uQPf/RqstU4FrPnphVQXpjqk8dl+r4d2wGe79h0rrz3Ik9SnDYH7jVfEro4fVsmh/K/ZZ96FrXAayrUNvPlhMLV3Ik4SbKnVsIL1cbn6jd7Ni8nJkH3RjwXnOquTehR39XYpb9g3/uuULy6TB+VrozckoP6tiVMc3B6ynKkFisKkWyOvg0sRfD2b5yH5lDJjCihRtG1+tlquDboi5p679l2ZlEkpT7CD5RnoFfdEG1ZAZLotz44KOe+FY2nOAVtu4lymHghHfpUe8P1k9fxZmUWyj3h3GiXDe+6PWEJdOWE1VlAB+9lcO+JXp2aujG7W3LtPysDFV8qnLvyO8mmVgWKwKqvEKz2pWxczNtI0PxiEjhrBnbGNajCrcPm/NtW1xr18T5xDKCjlwnUbmL9eEK/Hxus3PHDyyfeR63AT1pVq0mzXt0wiNmFRP/uYO45DOE/HwRt5Fj6V3HPndBYFgHjzzfscCH+3V4SPBSdS65k0Hm/XtQox61HaUdKmbiuLj+SxnK12xO5yYpbP9mPmtPxhC9fw0rI6rw/qJJ9PepiEI/1k3EdZ6uBq2IYT4vIK9K9CyOMzdqtmlPkz9C+Obb9Zy8GsX+VWuJqPJ3FuXnVGl8lvlNUxdIOXsCx0+n0j32B77eHMHl08HM+ddpao77hq/6v4q9QnqtS5BW7BXk+HySduUR8Ul4Dx5O66LciMjtwIYqlTOJOleDERMD8JCeBNhUpPyTKG63/oCPmrqqPyja4OxbH7+0TUxfFkFK0jn2ByspN3AkvVSrmbYkkiofvEeLpO0sMzlfPOTS9tVssvXG70oI25SXUG5dzPzffJkW9EWeT0l6lalInbbtaXo3jJnTfuD0jWgObt1JjNu7TOnng52iDLZuDenYUbB3+jTWxcQTeySEsNuVqJkVxeHgFcxfnE7LkW9St5yROZUc0i/tYv4mFW39rrFh22lilVuYO/8i9afNU/PPJN7UHKhwsMwnFGVx829HR/YzfdLPxNy5zJHgA9x2cyUrdBvBmxaw+H5LRnatSzkL8oElcxpY4VjXF99H21m09TeuHozB/cP3aOda1sjjWxUpZ49wyyqbc6tDUMZGEb59LTsy+zBjRAucbSWOltjPEl8ZxYBG9WhhKm+a9QFJnQtsXryO885dGdLtFSqYWpfkB4zpgkL61rDpJvJZmYBMQCYgE5AJvGgCgmd344h56kYDTwdIPciUaY/4eHHvUvjyQ0mPLZ6t7wXQjzl5738t6e6L1N8zkrd+jEc/DLwjt0gd/Q81fpnsVzrYjX1UKB1pcq8yAZmATEAmIBOwiEAye6b2oNHf1nEp+z5R6w/i/kGHv8DCz6LByY1kAn8qAaOPff9UrWThMgGZgExAJvA/TqAclR2zuHo2hjvKI0S+8j6fdvA0vv3kZaFlaItAQ1/cjO6bKU3FLXicXpri/4p9v1T2Kz2A8mPf0mMr9ywTkAnIBGQCMgGZgEzgpSMgP/Z96UwiKyQTkAnIBGQCMgGZgEyg9AjIi7/SYyv3LBOQCcgEZAIyAZmATOClIyAv/l46k8gKyQRkAjIBmYBMQCYgEyg9AvLir/TYyj3LBGQCMgGZgExAJiATeOkIyIu/l84kskIyAZmATEAmIBOQCcgESo+AvPgrPbZyzzIBmYBMQCYgE5AJyAReOgLy4u+lM4mskExAJiATkAnIBGQCMoHSIyAv/kqPrdyzTEAmIBOQCcgEZAIygZeOgLz4e+lMIiskE5AJyARkAjIBmYBMoPQIyIu/0mMr9ywTkAnIBGQCMgGZgEzgpSPw/5YO9olaiPa3AAAAAElFTkSuQmCC)
References
- [1] Amari, S. and Nagaoka, H., Methods of Information geometry, AMS, Oxford University Press,
vol. 191, 2000.
- [2] Ay, N. and Tuschmann, W., Dually flat manifolds and global information geometry, Open Syst. and
Information Dyn. 9 (2002), 195-200.
- [3] O’Neill, B.,Semi-Riemannian geometry, Academic Press, New-York, 1983.
- [4] Todjihounde, L.,Dualistic structures on warped product manifolds, Diff. Geom.-Dyn. Syst. 8,
(2006), 278-284.
Year 2013,
Volume: 6 Issue: 1, 41 - 45, 30.04.2013
Abdoul Salam Dıallo
References
- [1] Amari, S. and Nagaoka, H., Methods of Information geometry, AMS, Oxford University Press,
vol. 191, 2000.
- [2] Ay, N. and Tuschmann, W., Dually flat manifolds and global information geometry, Open Syst. and
Information Dyn. 9 (2002), 195-200.
- [3] O’Neill, B.,Semi-Riemannian geometry, Academic Press, New-York, 1983.
- [4] Todjihounde, L.,Dualistic structures on warped product manifolds, Diff. Geom.-Dyn. Syst. 8,
(2006), 278-284.
There are 4 citations in total.