النموذج الاول
اب قضيب منتظم طوله 102 سم ووزنه 18 ث جم يدور حول مفصل عند طرفه ا شد طرفه ب بواسطه حبل خفيف حتى اتزن القضيب فى وضع يميل فيه الفضيب على الافقى بزاويه 30 اوجد الشد ورد فعل المفصل
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rZFXIfaFrFMx7Icx/YEqDEaYEyB4LeQAIAcx/M8SDDDmHou9H1fcL0wDDHG1Wp1amqqra3tzp0769at+5d/+Zcvv/xyZmamUqlUq1VN01wIbM91IUCUQIIN21J0TTV01dBrsqQaOsDIQ1AzDctzA84x8jEKxIqgDwEDHvVcwigXZI3gwDKBLOmaarnOKjUWfJ9zzkNer8sz03PPnjYd/eL4m2++9fbb7356+PPvz/3w9OnzxcV4Op1NpTKxhaXJiemZ6bnFWHw+GhsbnYhE5mOxpdnZyPj4ZCqVabQ6IUeIKFJAM4TQcRzRQwghgvyKLUXIKRahBopvRAfgnDPGIITivaZp8/PzM5G5b747u37Txi3btm7dsf39jRuOHDv6or1tNhqZmp3p6u1pbn3RPzQ4NTc7OjHeM9A/NTUzNDQyMTE1NDTS1dWTzeb5mo4BAHJdACEmhAGAbMs1TXsxsdza3vHN2XO79u5bt2Hju++v37x1254PP/rhwsVHT5/dvnf/yrVfrv5y/fa9+/cePjpz9rs7tx/cuf3wwf0nd+88unzpl2s/3xwZnrQtaJme5xLXwapiVityrapKdV2qa5riaaqnq0CshgYNDZo6MjToOT6C3LGoVLOqZV1TPM8NEGQry5kH959+evjols07Nm3cunnTto0bPtixfc/Xp89e+OnqiS+/PvjJZ0e/OHHiy6+PfH78+LFTZ77+7vSps1+d/OabM99/dfKbo1+cPPHl6Vy2rGs2gr7r4LURmlIiCCm2TICgzygXcExwCAElOAAeURVLU23XwZ5LdM2+eOHn48dOffThwT27P9qyecfbf1337jvrt23d9fZf1/35zbff/uu6A/sP7//o4MYNW7ds3v72X9etf3/Ltq27NqzfsmXz9s2bth8+dKS/b0TwdM8lnkvEORAceC62LahppuMAIUPblmcajutAIZsgRE3DVlXD0G3XAZ6HPA+JlgMhBACIpiVwUDSeRpzaCLYakP2fgsUG1P6HfxRbiqYu2vz/BlB+b/22dRu3/+u//emtdzau27Bt976Df357wxt/fu9Pb637tz/85Q9vvvv7P73z2z/+9cMDnz9+1jYdiUfjmVS+Xpbt+XhWNmAyX/vs2Ne7Pjy8dfeBjdv27j907Pipcw+ftw9NRKqqMxtL5gr63HxmLppNrFRXUlJv/+xSorYYr8zHyvOxUnShHIkWZ+cKUzO5yanM+ET6dVDuH470CVAemuvqn+7qm+p8TVZe5cutA6ug/Pjl3QetN+80X7v+5PLPD364cOvp856u3sm+gdnx10A5GssLshxfqa6kasm0lM7U0xmpXDZk2dNUINdtqW7pGjANqKueoVuGYVmWAzwkCBeCxHWBQGHXBaqqy7Kq66ZlOqZhy7LMGAvDMJlMXrlyZfPmzW+88cZbb731xhtvvPPOO++999769ev37dt37NixgwcPrl+/fvPWDzZs3rTxgy1bd2zfsm3ru++ve+vtv/7lnbf/7fe/+2D7tpt3bhcr5YBzgJHp2IgKUsME2TENT9dsVTEV2bAt6NjQdbBtAamul4r1WlUxdJcQJvQKAUaVSu3Jk2f793/8h9+/sWXL1l279uzevffw4c8+/+yLXbv2vP/+hi1btm7fvnPHjl07duzatWvPrl17Nm3a8taf/7p+/cYPPti2fv3G9e9vPPvtucVYXKQ3fd8XQAwhFPqDCDAF4Iq44XVJp9HyfN9HCAmyEwQBAECMZxhjzjmlNBqN/vzzzzv37D746eHjJ098cfzYJ4cPfXzo4OHPPzty7OjOPbvPnP32zNlvPz50cPe+vZu3fvD+xg07du/asWPX++9v2LBh07vvrtuyeevz582roxHnGFPPgyLiQZCYhq3I2uOnz7//8aeDn362b/+B/Z8c3P/xwX37D+z9aP/OPXt37d236YOtu/bu27ln74bNW3bv/XDvh/vffWfDxg1bd+7Yt33bnvfXbf5w38etLzoRZI6NCA4Q9DXVLpekakVRFVPXHKlmSTVLlmxdA45NoRciyBHklKwlALxQ16AiOWID10HpVKG/b6TpeVt7W3d/30h310DT89bhofHpqejszMJA/2hzU/uzpy1trZ29PYP37z1paX7Z3tbd2dHX1dn/ouVlS3P7QP+IVNeBRwOfI8gsE3guEdp3GHDPJSLuCgPOKCc4FGO5CLmARwWnJjg0Da9aUVaWsyvL2WpFLpfqS4vJ+FKqWpFjC4lMurCynF1OpCNzsWhkMbmSHRmenJ1ZWFpciS0kspnSynI2tpAwdGdNU149ls848IiuObJk1KqSqhq25Tq2ZxqOoVuW5XouYjQEHjJNR8hrjIUiFuRrPECIFQI6RbtqvOFrkpr45n+BLP+nQFlEig1esip0/heW3+zcfWjrjgMHPz15535zNJaJxfOPn3V8cfzbuw9aOrpHnzV333vwYngsmi0ouaKaycuZgpEtmrmSnSvbmaKZzKrxZD2WqEYXS/Pxct/QfCxRHZ9OLqeVdMGIJSpLyWo8VUukaolUbSlZjS2X5+PF6FIhupiPxHKzC9npaHpqLjk5tzIxuzIxuzI6FR8ej/WPRHsGZzr7psTa1Tcl5Iv2rrG2ztHWjpEXL4cFU37RNtTU0v/keffDJx0NWfnyzw9v3W2+ebupvWN0bHLpRfvQbCQ9PZuMLGQj0ZV0pprOVJfiucWlbCyWjsXSyVQ5lSrXJVs3UK1ulsqaJNu6AVXNkxRDUoxCqWY5UDcc3XACzgnjjossB5qWZ9rAcqAtPtqAMJ8FHFMmKWpsKTE+OT0xNROZX0hn8yupdHRhcWJqenJ6di46PzUzNzg8ev/ew+fPmluaW1tftL940fbwweN79x68eNHW0tLa3z+4nEhaluOzECNqmY6mGi4guulCHPiclyqy5UBJNWXVqtRUwwKGBUoVOZuvVOuaotmSYsqyqmmGZTq27ZqmrWumquiKokl1pVaT6jVZllVV0RVZU2RNUTSprsuSIUtGpSylkvnF2PJibGVlOZuIp+ajS/PRpeRKrlpRdM32XExJiBH1/dA0bR5yQljgc00zhJi7ajwIX2VHOeeroQZArgOENAQBRoh4LkSIUOpT6mNEhfxNCPM8CDwEIcaIEswgxI7jmYYtSYpp2sViOZXK5HKFbDZfqdTqdblelyVJkWVVllRZUg3dAgD5fhgGHABkWY6QmznnEGJF1kzDMw3X0F1NtRXZFNeuyKam2rYFTMOTJUOqa7pm65ojS7okKZVKTVMNQ7cqlVq1UrctFwJs6BajgVA/DcPCmGqqIcuqoTuODcGa6ERp6DpIkQ1KQs/FimyUSrVioVqtyKpiGroDse962LQ8RbNqklaTNM1wXEAQCRD2IWIAUtfDtgNNy9NN13WQEKAdGxIcuA6S6ppjQ8v0hG4Q+JySULwBHoEQm6YtUgVQNCPOVyV4whzHAwAxGiBEbNvVNbNWVxXNMm3geNh2kWl5uuFoum27iPlCiOeYhsGa+i++FK8B54gE1OeErX5JGYfYRyQwbaDptqwYxVItmy/ni9V8sVoo1WwHMp97gOiGYznQsoHjIj/kpuUFnLse9gPuh9yDFGGf+hxAGnDuBzzgHEAqcgOIBAHnmuEEnAOEIaaiVzZOMuAcU//1jywICQuov5qsFqS7oUD+A0AP/53lvwTKqaxUqpiyBnWLqgauK15VcqqSc+nq3U8OnThy7JuBoVlVx5m8vLRc1C2aL9uFiluseaWaV6i62aKVymnLGSUSK3zz/fU9Hx0fnUzkyvZCojK7kM8UzQYox18H5cV8ZDE/F8vNLmRnounpSGoqkpqaS07NJSdmV8amV3FZCBe9Q7O9Q3Nr8kUj1zfc8nKouX1olSk/XZUvhAHj0tX7P1y4dfvei56+6d6B2bsP2qZmkzNzqfGpeHR+JbGcT6ZKS/FcbDETT+RXkqVkqlStmeWKXipr1ZqpqK6mQ0V1a3VL1SwPEMuBAFLHwx4glHHT8pjPEQk8SB0XOR52AXEBcT2MCMPUR4S5ABqWo5u24wFEaMC5H3JEmOW4huU4HnQBshxXEDeBPggR0bEVWavXZVlWTdNGkGBEgYdEh8eUIxoWSjXTho5HZNWUFFNSDNOGEPuIhI5HLBd5kHmQmvZqtC4yXb6/mugXK8EMI4oxJYQ1Vka5yBYi6AtKZVvAtqBIFlmm59gQAoZRILJDngchwCLtyVgAPCTSg8LsFaw69gJKfZFkE+cg+DtCBGMqfnrVygMurAgi7R6+Lpr7ISEMeMi2XU01XBfYtmsatohmBFhblmPbrljFe8+FEGLPg47j2bYLAKLEFzfcMCzPJRAwBH0hxMuSoam2CLeFp6WRTSU4dGzk+6GQgwRmmYataUY+V3QcDwJsGJYkKQCgWlUqFSueCw3dcR0kLA0ClCGghuE4NtRUS2iypWKtUpY01fJcnC9Wi6VauSJV62pd1jXD8SBlAWcBJzQEiDkuMm1gWJ5heabliXSurtkNIC6X6tWKLFLBYiRwHQQBdV0EAfU8qOumZTnibmNMbcsVjwAC7DoAACSencidVKpyta7WJU1WTVW3NcPRDEfVbcdFiAQs4L5YQ86CVfAVTR0g1gBrbw06IWII+wHnLiCKZhmmW6urimoCxCD2NcPRTRdAarsIIia4jmkDRTUFBPshxzSkPld123YRQMy0QcA5piHEvoBmx0XiuIRxhH1MfcICFoQCrxsr9UPqh9QPMGUCtcX3AmeFHCFCXiFM/x8F5ark1GS3JrulqpnJyyvp6kq6mszULl65c/qbi/cevEhl6qqBcwU1V1RVA+crTqHqlmqgVAelmpcvO5mimcrrFQm+7J68caclkZLyZWd+qRxdLK1klHiyGk/V4qugXIklStGlgkDkuYXs7EJ2dj4zM5+Ziaano+npaHpyLjk+szw6uTQ0tjAwGu0fWV27+6e7+qc6eydfdo+3dY2+6BhpaR9qbh9qaul/2tTz6EnnvYftd+69uH7r+ZVrjy5evnf+p1sPn3S+7Bq7eafpxKkf+4ci84v52WgmtpiJLWZWksWVleLiUjaTrZXKWjpTrUtWsaQUS4qierbDbIdaNrEdJngKYdy0gQsIZZzQ0Hag6Bu66Rqm67io0WgICyCmHkQiUH59ZBajsQuQ5XgexETYjzkXPE7gkVhExO2zUJBKy3RM08aIcs7FgO94RFJMTEPddFdSufhy2nKg4FOvMwLq81/HUn/XWhrtJwy5z0LgEc/FroM8F4vkj+sg03AJDijhlIQI+QgykbV3HeR5UECq8NvathsGnLFAILKgycK18vqBBM76frhqo37tDAOfi6TiK39xwBkLCGFicLJt19AtAa98Ld8o8F1wQAQJgquIjxABHhJ47ToAQowxFckAobMjyAT4Ish0zVZkwzRcYRIQGhEAVGwgjOHCtsFY0LBp+35oGrZp2o7tuS7QNINzXqnU8vmibbn1mmrojuNAx4aODT0XOzYU99N1kG0B8VGWdFUxHRsWy/VKTalLmqwYqm5bDgSIERoiEgi0MizPMF3LBi4gADGRXRSk2NAdSkLbBqbhmoaLkZ/Pl4FHXAcRHJiGy0PuOKvWTPFQKPFX2xULMKaO4xmGZVsugoTRgLFAMxxZMWqSVpd1VbN009VNV9Nt3XAMy/MAEe3NDznzuR9ww3QFNDcAVFBpgZguEBZkjmlYrSmic9UlrVJTqnW1UKrVJM1xkQuIiBUQ9lnAFc0KOFdUs9Gwi+U6xD5ErC7rQcj9kGMSiJ8cDwec64aDaegB0gBf6gfUD1nAf4XOhPkQU0SY+J5zLhLODSPQP7a4/VNA2bBZXfZKVVNSge2FDuCSAjI5eWgkMhNJlqpWTXZT2XqlbusWzRaUbNHKlex82SlU3HzZyZasdMFI5fTF5WoqrydSUjKnRWKF+Xi5WHVXMmo89QqUF1cqC4lSVHDk+cysAOW/hebxmeWxqfjIxKIoIekfjvQNRxqe5a6+qY6eibausVVQbhtsetH/tKn30ZPO+w/b79x7cePW86vXHnubjN8AACAASURBVF28fO/SlftPnne/7Bq/cfv5iVM/Do3MLy2XY0vF5ZVibDG9kixlsrXllWK+INclu1hSyxVdVhzdQKaFdQMZJnZcBiCnjKuaxQKum67oBq6HCeOqbiuapem2aQOAGPUbOBhATBwP2i7wIEKEYupj6rsAuQDZLjBt13JcgF6BsvA2cM4ZDWzLFd4GQSQFphi6pSq643hh8Co6W05mM7myC2ixXK9JmmEBy4EuoJhy0ROoz1nAGQ0ETRaMVdDVRgmMQEzxKkiTyOATHGAUEBwQHEBAbQus0j0cYBRgHDDGfcYpCRVF0zSDsUAMJKL1CoeDIFyCHTcGnld27zVZQ5zbahUMXQVfgtkrvoYoBFgYEFfZsWn7LESIiEbsuRBBIswVgt8Jd7ng14QwCLDnQoypGAbENoKMQ8Aw8hHyha1YUy3L9IBHRLAvwgJKOKOroBz87fiBEQUAEcJECpFSHwBk6JbjeK4DpLpiGi6ElFFOcICRT2kY+Nz3RakIF/6wwOeei03TtS0goi7HRablGZbnehggBhETYoWq27JqyoqhqKaq27rhiHPWVMtnPJMp6Lot+LJU11TFzKQLYojlIY8tJCgJKfWFTiUiM+FzCANRu4E1zajVJFXVPQ+KcApi33agqtuqZhmWZ9lANxxZMTTDUTXLMF1xeq6HAaTM546HTcvz15AaYd+ygR9wywaCxgLEWMA9SBfjydjSiqrbq+jsYVWz6rJumK5pA4h9y4G66SqalS9WVd0uVSSxT0WzevqGNN2uS9rI2FS5KgtWbjnQ9TChIfN5e0fPSirnAkJYICJXiAnERPRHwoLXcVlwKbGNqPB63Rr0T7U5//8uv9FMoui4rnjlqpUvacWKUZVcRUeWG6RzUq6o1hWvXLPqiqeZpFDWs0UrV7JyZTtftnMlK1s0BSjnSnY8WY8uFpNZdSWjRBeL2aK5tFJrIHI8WV1cKc/Hi5E11WLmNVyemc9MR9PTkdTYdHx0aqlRQtI/Ev3HoNzcOvDs7+WLK/d/unjn/qP2gaHIwFDk4eOO+Vh+YakwPZdcXikuxNKJRD6Tra0ki/FEPpOtVWuGrDi2w1wv0A2o6cBxmeP6mg79kEfmlwjjHqSYBJrhVOuqB6kLiAcpxD5h3A9F6QFH2Ldd4ALoAuQCKPqpGIFZEAJEHA94EAkW2AiXRMaMcy7KAoMGeK26gLnnQl0zBVkOOZcVQ9XMkHNCQ8dFuuEsxlc8QCBimAQI+wBSiBihgf+3A7xQMMSeXxWSrS0AIFlSTcMhJGjUIDC2WlBgma5puLbleS5GkCLIEGIY+w2M45ybpt0QjoUpBUIspINVBdkBQkQW6nNDcQ7WiDNjgRBYVkkuQOINgqSB8kIM4WtKqHgDAXbsNQ4oKuXWSsXExTbYerh2RIH4EFLPRbYFLNO1beA6UBS52TawTNd1ICVhEHBGQ4x9glfDWAHonK9WOTZGGoyprpvPnjYVCqV6Te7t7ddUSxBk2wKW6XkeFnZy4UBAiBEcCMkIYx8j3/WwC4hpA1k1Fc1yPIxIALEvuKqkGLJiSLJeq6vlqlws14USLRzKpWJNmKaBRzD2dc22bQA8oqkWhPTihautrR0ry6mTJ09du3ZdDGkEsyDgwjcpNHfPhY1bxzlHJBAat4gUPUAsG6i67XhYqCiN0cK0PACpkBQE7Ar24HjYg1QovKblQexbNtBNt39w9OmzFsH9xSFyhUq+WHUBCTiv1lUhYYsQcHJqbmx8emR0slpXR8amjn95Kp5ITU5Hzn3/U9/AiKyadVnPFSrVuuoBEplf+va7H/oHR03Lo74AZQoQAUjgMsOUOR70IMaUCfpMmA8QcTwoMtWi8pYQIjwe/4dx+TeaSXSL6haVVVip2eWaLanAsJmiI4HRkgqqdadUtWqyJ2uwWPNW16pbqDi5sp0tWZmiabi8WHVTeT1TNPNlO7pUyhTM2fnca9pFNbZcnl8qzMVWIXgmml7ly/MZIVxMzK6MTcWFAWN4YlF4MAb+oXzx72nKFy/fu3Wnuat3anhs4WlTz2w0MxfNzEbTi4uZhVhqfiG1kiwllvODQ1Mjo3PVmqkbSDeQqgHdQBDxIOTM547rJ5bTP164IisGIgEmgabbpYokxC/LBh6kVOhoISeMQ8QUTTcsx/GA5XiaYRmWIwTlgHNEmAdRQ9PwQ079wHG8MOQIElENKBZK/kbDEhYughnn3A94vlC5eOmqaXmlcu2X67cfP2k6cfK0YboI+5RxTALmvyqk+pVeISBJ2EJ/1RQAQNVqvVqRPA+LNL0oXWOMY+R7LlIVQ1NNgv0w4AhS10EYsVpNEvhbLlfPnj139Ojxc9+df/TwCQTC7eYLFdgyHU0zFEVTFd0UwQULGkPRK/liDTFFrknIwUJVF27WxgIBVhRtDVhxvS4vLSVe9Z2/q9AV1y6Y8loxXogxJSQAgLgO9DxMSOAzTkmAIHUcaOiOIuuqaiJIV0cpusr3XResghphtZpkmY4YljCmmmYcO/bl40dPb92889GHBwRjVWSjXlPrNVWIv66LRF6O0lAIGhj5jHFKQsdFjotU3S6V6+WKpBmOIIy5QqVclVXNcjwMEBMRm+1An3GM/DXnr09w0Hj2EFAectdB9Zoq1bVPD3+xd8/+Q4c+feed927evC3ulbgKn4WeB2VZrddlIY6LGhxNMwBiLiACWAkNWbAqR4i8n2F5uuE4LoLY9yA1TPfmrXszcwsB55Rx20UB56YNTBsg7JuWly9UAs6FUtzR2Xvp8rWapMWX05Ho4sLiciZXshwoRDnddAPOAWLiQL9cv/31N+cOfPJpXdIGh8Z27fkonkgNDo8f/uxoV3c/QKxQqsmqaTnQcdHN2/dv33mwFE8i7LMgpH5IWECYT5hPWCASekIEF8qGQGTb9XTTghCKGm7OOUJI13XLsv5+woB/6vIbWYM12a1KjqIj2wttL5RVWCjr6ZykW9Ryg5rsFspGoawLiaMio4qEynVYqoFC1V3jy1YsUUnmtFzJXoiX4ylpIVGRdRZLVH4FytGlgnBcTEdS04Isz2dmhJQ8nRidig9PxIbHY0PjsaGxV0z5HyT6XteUb7+mKV+6cv/Wnea2jpHWl8NXrj0cHInORtNLy+Xo/MpSPDsXWY4n8vFE/snTtkePX0iSremgWjMk2XG9wLJpuaJVa6YHwpedvdt37CmW6xAxFxCh64mYS5J13XRFHkbgMvO55XgugB5Epu3Kqi6rumm7AJHXw6WG0EH9oIG/gp5gTGVZ5WtC6moZof83xDaXLfz2335/5POjH+7b//vf/XHjxs1ff/2tppkEs8DnjRIpHvJaTYYQU7Kmzzbk3WBtzoGQN8pYIcS1qqSq+q+GBM45RrRWk1eWU/l86dXUDQHnnNv2qt5iGva5786//fa727buOHLk6GqtiiDOLBAsTNdN07SFobChZgiXYYNxN1J/Ihm4asPA7BXzDThjga6ZtaqEERVWjemp2atXr8ViS6umN//vqE0jYRi8Uk58P2QsFOJpg7kLFUWctqoatarkeYhzbplOLBZPJtOMBoHPXRf4LLQsJ5lMp5IZy3JEoOO58KcfL37zzdljx778+vQ3GPkIMtdBIrlHSCCK44eHxmtVJQw4wUGjlAN4BNOQMO54uC7rkqxbDrQdqKhmtaYI4vw6CUDYJyTIZoqzM/PdXf3CwuEzjhBbK4oLHRvaFpBl/eaNuxvWb1n33vpbt+7UqhLBzLZc8axFKliRtUqlZhiWLKvZbL5WlcKQN2xFQhxoJC0sBxqWJ8l6taZYNgCQ5guVgaGxt/7y7rdnzwv9F2IfYj9XqIhReHB4vKm5DdPQ9bBpg/aOnp8uXKlLWmtb5yeHPv/L2+s+2n+wvaOnWldV3bYdKHBcCIOOiyTFEPtcTmY/PvhZNlfq6x/+5NDng8PjwmuBSSDGhi+OnojML1kODDgXEEz9kAUhC7jAaOqHAqDZWorSg1jRjHK1ZhiG53mCGkMIZVk2DOO/aHH7zy6/sb1Qt5iiI1mFioZkDdYVr1K3NZNIKkjnpGLFsNygUreXU5Wq5FRlXJFRuQ6LNS9fcXIlK1M0MwVD0lgqpwknRlmCC/FyuQ6ii6W/BeVSdCk/u5CZjqan1kB5Zj4zHU2tmuEmFtcyexGBxT0DM139053/viVOTEgkTMq37jb/cuPp5asPfrp05+z31+7cb+0fnOvsnrh67dHw6EJkPhuLFyPRlZVkKRJdjifyyyuFGzcfXf35jqp5quZVqrppYUz4SrL45Gl7+8uBYkntHxzduftD0/LYmi4mWoBheaYNBEdgPhfZhkaSzQ85pr4HcSPdR1iAKRNiFqa+YTmqbhqWIyJxhIgoCHz+rPn6Lzd1zVyldWuNQYTbQcAhwKVi5aMPD2zcsHnTpg9OnDi1fdvOleWUmO2Bc44xE/8qFSsvX3batgsBfkVL/25p4B0lvqJosqR6LqTEx5gJWdZzYbUqtbW+vHv3QVtbR7Uqcc4RJI4DxD5VVRe7qpRrz58337lz7+vT35iG3cgBhgEnmHkuFCjwOmIKG5aumyJ9J6xmArVFtlCo0q9nAn0/FICi6yZfm1+p9UX79m07Hzx4VKnUNM1YNXu9ZsX797RBxsLX74wQfAOfi9rFek0uFiuypOZzxfv3Hm7ZvPXAgU/GxycVRSuVKrpmui5oZBfFbbFtt6uz58JPlx48eIQgAYA4DtRUq15TNdUSwgKC7MiR4wP9I0K8RpAJVd1zMV2zlLkehng1qBJmOEwCwjihoQepbjjVmpIvVhFkw0Pjly79fPCTz2amo7lsiZJQZAUETYaQ8pDbNpiPLu3cuffWzTvivumaKRqGoVuW6Tx+/PT8+R9Pnfr63Lnz35w5+9XJ0/fvP1xOJGXVFMhbrkjliiTJumkDAKkHqWl5hVItsZLJFyqZbLGppf3Q4SP7Pvz4g227mlraZcUQvovoQlw3nEpVPvPt94cOH6nWFE23a5LW1NL+w4+X0tlivlBJZQoTk7ODw+PZXMmD1LKB7SLhexM+ilyh8vO1m23tXRCxYqn28cHPYovLj580bd2262VHj6rbEDHHw+L0tmzdmS9WHRf5AV/TK/xGxo8wH1OWTGeL5Yph2aJLIkJlVc8VipVKpYHCCCFZlm3b/k8A6v+O5TeWG1Ylpy57mklkDcoqVHRcqTuyBiUV1BWvJrmVul2qWsWKUawYFQmW61D44fIVJ1+2xSpsywKUE2l5OS2vZNVkTkuk60vJ6uJKeSlZFVbl6GJeeOCmoykByjPz6cm55Nh0YmRisW84MjS+MDAS7eyd7OidFHPFvegYedkz3tU31dk3JQTl1s6Rlvahpy19T5/3CKZ8596Lm7ebrt96dvXaox8v3P7+hxu37jS3d44Ojy4c+/L7uflMZD4bWypOTcfOfX/5wsXrqXRldi7x04XrDx621OpWJlt1XF+SHcumpbJ25+6zpuZO3UAzs/OfHzleqkjlqkx9LnJ9hIY1SUssp6/8fOOr09/evvtQVk1CQ+pzQYqrdUnoFapuivQCYYFhrRonWcA9iGwXCKgRZYGc85cvOz/77Mj+/R8/ePAoXJuUrqG3+n7oszDwQ9O0vzt7bueOXZ2d3QAgjAkASExn0YB4x3FVVT916vTKSkr8xDkPQ96YDa7BYYXOa5mOquqGYYl8v4D1Wq3e3vayVKrElxJ79uzbsGHTjRu3TNOGENdrkhBexN4gxDzkGNMw5Kqi7969d2pyRvxULJRrValcrs7Px4SJmK/NEwIAmpme+/L4yXXr1q9fv3H79p0bN27evm1nd3evIM4i/SgQWRzONGzOuTAdm6Y9MT7FOU+lMps2bjl+/MSmTVtmZyKSpCiKJgIO23LFZYr6eOG7aJSbMxoIYdowTOGagBBVq3Xxq2lYUl3u6xsYGhz+7rvvvz59Zv9HB373uz88f9ZcLldlWRXhi3gVJynqjDTNOHnyVEdHV6FQKhVr+Xw5ly1VypJpuobuJOKp7u7+Y0dPnj17vr2tq1ioCgeIbYF8rizMPIblqbotNFnTBvOxxMDQ2FwkBhATPoRKTTn73Q97P/z4/r3HP/5wacf2PQc/+WxiYgYC6rkYQirGJIHOAvpVxTz77fmLFy+LFJ+w9FQrdQCQomgD/UN9fQM9PX0vXrTduX3v7t374+OTum4CxCpVuVZXJVmXFEPRrEpVLpZqimpSn3f3Du7Zd6CjszedKTx+2rxx87ZNm7f98U9/6ejslRRDVk1MgpVUbj6WiC+n67K+sLiczhYHh8YAYs0t7cdPnM4XKtW6ikhw8fK1zu7+UkWqSZppA9fDQo8WI1NLa8eBTz69dOUXiJhpg/0HDi3Fk00t7QcPH3nytLlckYQwTRi3XbTvo0+GRyfFkDAfW2p+0SY6Y8BXGbEHcUtr+/adu9PZvGk7fsgBIqpuFkqVcrmsaZrjOLquFwqFdDpdLBZVVZUkCcJGP2rMbPdfmuPi31t+4wAuXHGKjuqyV5NdSQWlqiUAuq54Ndmt1O1yzSpWzNdAGQhNOS/WspMr2cIbt5JRE2k5kZISKSmRkuOp6uJyeSFRii2XBTpHFnNTkdTk7MrkXFLwZSEoC1DuHZobHJ3vG460d4+3d49390939E42tQ22do6KuS+a2web2gYEU25qHXja1POsqfc1UH4uQPnSlfvXbjx5+KSjb2D2q68vTM8mJ6YTM3OpsfFoU3NnZ9dQZ9dwJlt70dp7735TrW5RxoeGpnUDWTaVZKcuWaZFcnkpX6is3/hBpSojEjCfa4YDEcsXKjVJS2eL167f/uni1faOHuEkFTm92Ui0pbUtXywblqPqhgex4DuKZty9/+Dc+R9u3Lqj6uZqbEX9ZDJ95fLP35w5e/LEqdOnzpz5+tuXLztFSfdqWP2an8z3Q8tybt64tWXL1tbWdmH8EkgqIBJj0tc3cO7c+a9Onvpv/+3/+t1v//DNmbNTkzO27XLOKfU11VAUjRAmZAffD2dnIufOnT98+LOvvjrd0dElDmRZjlSXjx49vnHDpn37PnrnnffWrVv/8OFj3xcJLs/QTVlWBUMUU0yIqN8wrCNHjt65cw9BUqnUznz97dat23ft2rN16/YN6zfduHErm8k3RN5SsTI2NjE1NTM7G5mdjXR2dD988DiZTHPOxYSi4mSEHp1Mpj0P+n6oKnpz04svjhw7c+Zbn4Xz0dinn35+/vyPhw59Ojo6nkymM5lcqVgRCjIEOJctiP0IIQVB8ivWPD8fO336zIf7PvrssyO//HJ9amoGQlwqlQcGht5666+bN215++13//zntzZv2nL58tXl5aSum6ViRZIUXTcVWXNdYFmOquq1mmToluuAc+fONzW11OvyciKdSRfKpbos6bKkx5eSz562nD717Z/e+MuH+z6+fev+3OyCplpinqBUMicphmF5lgOrNWU2Env0pOnEya+379z7b7/94/ETpxfjSUkxhFfh8dPmEye/3rF9z4Wfrjx90jw4MFou1w3dERV0luUJ5URMGCTyii/bu69c+VkoTrbtGoaVzxelupJMps+c+fb48RMHDx7evWvvB1u27d//8Y3rt6amZuqS5rhIN91Mtlgs1YRDTlHNfLE6PTt//MTpt995/+79x6lMYS4Sa25pv3z1+s7dHz591lKuSKlMYSGWiEQXa5K2EEsIJaSpue3osZPJdH5iam7Dpq2T05G6rJfK9YOHj9y8fX9yOrKwuBxfTp899+PwyISA/kpVvvbLrcOfHb1x865uONMz0d1798cTqda2zg/3H3zyrIUF3LA8zXDqkraSyu3dd+DuvUfLyWylKrd3dJ359qxmWB7Eqm5qhuWHvFqXb925e+rrM5WaJClarlAqVWq6adkuqFarsiyrqirLcrlcLhQK5XK5VquJaR1/Bcr/JFnjN4bNihWjVDFrsluu2VXJkTUoXmUV1hXQAOVSxSxWjFINlGpeseoVBCiXHUGTs0UrUzDTeT2ZVZfTcjwlLa3UFlfWbHBLhYV4cXG5HFsuR2K5qUhqbDoxNp0Yn05Mzq1MRVIClIcnFnuH5gZG53uH5kQh9cueibausactfW1do21dYy0vh5809z5u6nneOtDcPvS8deDJs+4nz7sfPO64dbf5+q1nv9x4evnnB+d/uiXI8o8Xbz9r7v36m8vjU/GxyaWJqcRCLDU3l5ieWfz0sxNT04sdnYMnv/puJVmKLWb27jsUiS5nslXboal0uat7xHbYwuLyzt0fCisSxH5Xz8DLjp5svlyTtCDktgMTKxnXw9TnIv2iGeaRo8c+OfTpi7b2UqUq3G9Cw+ofHPrDG2/+v7/9/e/+8MYXx76MzC8EnKuqHo8vn/jyqz//+S9/eevtffs+unHjFmOv3AuNuk2heGKELMPs7enZuGFDa8sLHgQ85I5l++zVLIuaos5Hor3dPXt27e542ZVOZxvuMQCQmKtTfESIjI1OfPbZkXffXbdu3fq3//rujh07ent7l5eXBQv46quvdu/e3dfXl8lkpqamMpkMQsg0zXq9bhiGaZqeCznnojBMNFEI8NWr1/bs3lep1BgNstn8fDSWSKw4jtfwYCFEJEmp1+Xxscnvvvt+376Ptn6wfd/ejz78cP/HBw42PW+p1SRBcsXI4TqAYFYuVTnnlPhzc9HNmz/YuXP3+fM/ikoQTTX6+wb37Nk3MjIWjS4sLsaTybSumZ4Hu7t7v/vu+9UpNEMutm/0JjGB3/Dw8OHDhzdu3PjJJ58cOXJk9+7dL168yOfzuq4fOHBg9+7de/fuPXjwYGdnZ6lUCXyOECmXq+VytVSs5PNFTTM0zSiXq6qqi8Hv8aOnTc9bPA9SEtoWqFUVUbanyEa1ImfShU8Pf9HW2mnoTqPijodcVcxMtigi+kKpthBLdHT1PXz8/MHDp3fuPtyxc++OXftOfHVmaGQiOr/0/Q8Xt2zd2d83LElaI3tpmV6lLFmmp8iGohiaagk7uZhsqL9v+N69B47tCX8kxlSRNU01Mpnc4OBwX+9Ad3dvR0dXS0trW+vLqamZUrGSyZV0063LeiZbrNVV3XAkxajVVUSCmbmFY1+e+nD/wTv3Hi0lUv2Do9d+uXX+x0s3b92LRBdL5XpiJVOqSOWKNDI6+ehJ01I8abuof3B0z74D2Vwpky1u37Hno/0HP//iy63bd//xT38ZG592XJQrVFrbu955b8PefQfO/3Dx1u3735w9v2fv/i1bd+7Yte/8j5dOfHXm2JenShVpbHz6y5Nfv2jrZGsVfZYDNcO5fvPumW/OtbR2AMSeN7esW7/h6PETN2/ffdH28v7DRz9euLhx85YtW7efO/+DpGgB59QP11LxVJSKiLlAGzXcopH8zxT4/e8B5bripbL1dE4qVUwBzZpJFR015IvqqnxhFitGoWyIAutc2c6V7GzJyhbNTMFMF4x0Xk/n9VReT+a0layaSMvxZH1ppSZK+CKL+ehSISZAeTE/HU2PTC4OTyyOTCyOTScaoDw0HusfjgyOzfcOzr7oGGluHxJixeOmnpc9Ey+7x1teDj163v3waefT5t7nrf3PXvQ9etL56Gnn/YftN283/XLj6c/XH1+6cv/7H258dfrCmW+vnDx94efrj0+e/mlkLDY9mxybWBoanhkfj87Mxj/Yuq+nd2x2LvHppyemZxZHx+Z27f6kUFRkxdF0+LJj8J13NxeK8vTs/McHP6vW1cWllWyudPjTL3bv+WhgcHRyOtLdO/j0+Yujx07Gl9NzkdhiPNk/MPLd9z/8/o9vvPHmW6fPfJNMZ03bdQHKF8ulSu1lZ/fDx0/bO7oePn66YdPmr05/3dXT19c7cO/eg3Pnzj96+GR8fHJkeGx8bNLQrXpdliV1VVKw3YafTFNUqVaPzS9s/eCDthetois6lg1cj4fcp6+g2dD0M6dP9/cNLi8nK5VatVqv1+R6TVZVHWMKIRaCr6YZ09Oz8fhyOp3t6uw5derUrl3/H23v/SW3kWSN6g9873tvZ83sWI0ojczIjCg78o6iJFIUKXrvTbPJZpPN9t57V13eWxQ8kPBIuPx+iKpksUlqdmd3cOr0aRbRKBSQuBkZcePeN59//vkvvvji66+/fvvtt8fHx2GsgPqopmksy0KuTZZly3LaPI9H0Dw5Mf3ii3/OZHKtal5AGo1m4EceDmzLJYQEQQQEBoT0Wq1RqdRkSRVFuVFvxmLxcrkKXQxgLwBcY1lWBUGCbEMqlbly5VpXV/ehQ4drtcbWVuzHH3/67LMvFhaWJEmBjm3HxlD5PHfuwp9fekUUZZp2b20R6RQ7lmVZlmWMcSwW++abb7799tuPPvro/ffff/3119fW1sgj4TFCCMHY15AB3XEcJ8ANAr62YViEkLXVjZHhMSh1Bj5xbN8ysesE2A0tCyPVPPrzyaXFNeApq4phGq7rBKKgmrYnSIhhRUFCmm6b7W6LkJBkOj82MfPRx5///o97/u0/frtv/4H5xVUK6HAojENVMTRkyZJWKTeqFcY0XLiGTUYYH5seHRk32sUAQlo5IpgvMfajdlILqbosqQjpQDTWDSckBJq8Q0KQZgEuF8v1nt6Hb/713b3vfvjGm3tffe3NQ4ePpbNF7BMVmbyohoS4OPzxp6NffPVtbCdlWphhxXff+5uCTJaXr13v+s3vnv+Xf/31v/77bw4cPCwpOuzw4OHQX99+79/+/Te/+e0fX9jz8m9/9/zrb+59/4OP//M3f/j//uXf33n3w6HhcaTb2zup23d6l1Y2oLsE6TbkOpZXN197/a+fffEN0m0FaVeu3Xj+hT3/5///1fMv7PnVv/37n1957cy5Cw8e9seTKZYXQkJsF7cbSULSoZtBx0anqgb552s0P8dwOrTwVepypS4zrC4qLi/ZrGA9yl0wqNpQKnW5XJOyRSlXknKPQ3C6b1RKYgAAIABJREFUIGQKYqbYfhWEdJ5P5bhkloUWvo2d0ma8DEkMIGCAPufMQmx+JbmykYXYGRpGphdiY9PrDwZne/un+4fn+wZnu3vHHg7PPRye7+2fvn1vtKtnpKdvsrd/+t7Dqe67I6Dbefla74XLd89fvHPq7M0jxy7t23/sxKnrP/507sTp6/t/ODk5s7G2kZua2bx67e7E5FI8Ufzwb1/euHEvnii88urejz/Z9/kX3//hjy+nM9VCkVlajuVy9ffe/3x5OVats+998HG5ylTr7MZW/NXX3tzz0qv7vv3hwI9Hvvrmu7/uff8/fv27g4d+Pnjo5x8OHv7si2/++Kc9b7/z7suvvnbk6HFOkBiWlxQ1my+4nl8oVThB2kmkVtc3Tp89/857H/z5ldf27//+7bff+fnnY6sr60B+sC3XMCymwTabHM+JgiBJoiKKMuRJOabJN1mmVt/31dczk1MkjEhENEU1kNZ6OF1s6UbkBxIv3Om6nc3meV4URZlhWIZh4bDQZQtBLjyEsqRWK/X5ucXl5eWff/55z549v/71r59//vnu7m5d1yVJ0jRNVVWEkKIoiqKAtYppPqaCT2l25VL1++8PcJwA1AiEdElUCCG6bqqqBkjtOFhRkCQqANNAXYAzEQRJVTWeE23bhUKfZTqGYYmCjFQ9igjPiZlMbmlx5Z133pucnO7uvvvKK68dOnQ4CCINGdj1IVkMMlKXLl55/70PBUGiy4X2s0XCkEBMBG8A80nX9cnJyb17977wwgtvvPHGzZs3C4UCwzCEEIQQrQFSoxbo2wYFDwJZ7IiwLL+5uR34EfTduG4AvSeuE6iKwTbFVDJXKtZ0zaaTaOATSUTQLWJaGCi6sPwCIkFICMvL+7794Y/Pv/j2Ox88eDiUK1QkEYEnyCPTA59EEZFEVCrW6jXWNFw4vqoYhXwllcqAIusjn5E2gR0yWqC0BVUKy3QA7KCRdXZuaWNzB2JSTbcdHJYqjft9gy+8+Mpvfvf8b3//pxf2vLy2EXNwiH3i+a26t4rMn44cf/2Nt1fXt1Pp/MDg6CuvvgHcvmyudPbcpa+++e6nI8d3EhkvaDVkr61vv/HWO3vf+eD0mQs3bt35+dipru57s3NLXd33Tp4+f79vUBBVzXBy+fL2TqrW4AQJYS8yLAx9ffUG9+XX+7/65rt6g7NdL5sv3r7Tc/zkqZ+PHb9w6fLg8CgkD0NCWF6EqrsXtPqwaYBMBYmohOFjY+efCspAsSiU+WpDAWJykzNqjAo8ORojl2tSqSoWK0Iyy6VyfLogAP6mCwKAbzrPp9pAnMiw8UwznmbiaWYrUdmIFde28uuxAiQxtuLl9VhxbjkxsxCbnt+eX06sbGZXN3MLK0lQhpua3x6dWrvfP33v4SRIwXX3jt5phcaT3b1jd3rHevunHwzM9D4blA8dOX/tZh8Q406euTE6sbKwnBgaXfzx0Mnhkdn19eTHn+z7+ei5VKr8zb4f//Sn11586c0fDhyN7eTiicLyyk6pzH2z71AqXYntpM6eu5QvVitVZjuWfO31v/5pz8v7v/9xz4uvfPPtD59/ue/7Az+9sOflV//y1n/85+///MrrN27d3kkkHw4MxeLJkJAmJwArrlpvFMtVXpRVTW802TrDfvfDwd/+/o979rz0/fcHmAZLCBEEqVqpY+yzTb4l1mxj2kZh6JamGY5peS72HHdseKRaKsPz5lqPnu3OV4A9aEcWBKlSqQGzgg4w07QpIwreCUMShmGlUrl+/fpXX331ww8/bGxsWJZFB2UURQghVVUfDxxaPylAW5bTaDRJu/wV+JGioKijHQ5jnyJ4FBFdN6FBBnAB8jbQDALN0CMjYwsLS9237yYT6UKhhJDeqDc3N7df+NOLL7zw4ksvvdzdfTcMiSBIhtEKAynHo15n4vHko8mjo0MHNvpdqFuKYRjXr18/ceLE5cuXdV0nhAAo27YNOX1FQVQ+H/JLvtcKom3bBdoMVA6B6AZNHBDMtiXTIklECJmgf82xEsiwVaqMqlm244sSqtSatQbHCwoIsACOVKrM8srG6tpWneGRZu1yVwLCiWP7Aq/Ua6wkIshli4LKNkUQJKJNScCuIZ2OWU+YMCHd1k0Xe1EynX/vg4/3ffsDdHiLsmY5fhARpimcv3j1y6/3X712K50tghgFVOo8n4QRUTXrft/gy6++8de977/x1juvvPbmyVPnRAn57YwfcOCAvwz9Izdv3XntL2+dPH0+nS2ynLQVSxZLNZAxst1AkjWQZzIsrBkO0iyk26aFg5C4OAQJpHS2GNtJAXkDGgU0w5qenYdriHRTN23XC5BuUIoqTCG/vO1S0P8nbc/xol0o86WqWG+iSl2u1JV6E5WqYiuPzKjVulKuScWKUCjzhRIfzzQBgjMFMVMQ03k+meUSmWa6ICRzXDzNbCfqGzuVjVh5fbu8vl1ejxVXNnNL6+nljex6rLgZL2/Eiqtb+YXV1OzizvRCbH45AZzlhZXk5NzW2HRLfqjnwcSd++PQIXL73ujte6M9fZP3Hk7dfTBx5/54z4OJO71jN+8MXb/18Mat/ivX75+70H367K1TZ24ePX7l4E9nDx05f+5i99ETVx48nH7QPz02uTo7HxsZX379jfeOHjt/+fLtjz/55mH/uCCaqXRlfHzh5q3e7e1ssdhsMEo8UTh/4eZbb32YyzeA+gZdngwrnj136WbXXUnWJEUXJFQs11XNisXTsqJzvCyIKtLNkBDDcsK25AWwLOClagaUgIOI1BrNWqNZKddYlieERCGBehFpkxkeHw3E90Ps+qTtKIdkJersEokIth3HtALstfYJHtHggiBqxUcRoVrv9MgtYnLU4iqQdgUDISTLcqlUchxHEAQArE44bpmDtNO1YdvlCDaYS+CrsU2eZflOApzreo95NbUVP+APEdI5ToDctyKj99//8IUXXvzdb/9w7979tbUN1/FYlhd4aXNze319c3JyulyqEkIq5VqlUtOQoWmGrpkgVRE9nqYA+afHXZrwLucqCJk9zwNzRYRQsViEN8OQgMQ2xPVQj6UA3b4srQsCP2k7NVwiSGWoigFBLomIrtksK4LbnmFh2w0g7uMFpc7woqzBqhzwKIiIYeFanc0VKtU6GwbEtjyqQgefAgImoFVUr7H5XLlUrOVyJcvEnTeo0x+P5qDoqAB1U+B7hIRU6+yXX+9/6c+vraxthW1BuFZ0GZAmJ0G7h6IaftjiWUuy5gXExWEqnb9w8eqeF1958c+v/Xz0ZLXO+iEBwrXdPr7tBgNDYx9/+uXLr77x/J9eunj5+uLyOvQx1hscSGpQwSPgZrSeKWRqus3xsmY4impY7X4uqnFh2k4Qkcnp2T/+ac/84jJNVtBUsmm7QJULO5xEqJ/OIxOcjpD5n5rBeI7h9FyRLVYEKOXVGJVh9XJNaiFyQynXZBDtzJe4XJF7BMpFMVsUAYsTGTZTFJM5Lpasr8fKyxv5pbXs4lp2cS27splbXEvPryQgd7zWbt5bXEuDwMX8SnJ1M7e2lZ9fSU7Mbo5MrIxOrQ2MLHT3jt2+N9rbP937cKqrZ+Tug4n7AzMPBmchWL51d/jqrb5zl+9euNxz8XLP2Qu3j5+69vPxy0eOXjr409l93x3bt//Y9wdP7dt/bHR8ZWk1NTWzObuwMzsf+9W//u6VV99+7/3PP/r4m0SymEgUyxWuVOZefXXvCy/85bPP9w8MTp05e+2ttz68dPl2scSKsrawuHruwpVz5y//fOzUl1/vn51fZljRMF2Wl0NCvIAIEiqUaoaF6wyvajrcb9cL4HeYgSE4CyLien5ICC9KISHYDwghoPMAyQSIwgRBarXdt4UpgM5lmja2HRIRz3FpLOw5LgmjED/KJlPgJmHrbwVBYhos5cbB5uEAEqCEtAQiCCFUqJsQoqoqIUSSpEajIYoijEgQsSUdpeddHdsQAtPgS9dNUZBBVkmREXxHMGC1LRd2g8Y/hmHBdcK2XF03FRnBldE048eDP7388quHDh1eX98sl6uSqKiKpmumhgyYxqKQSKKCkM4wLIg2AOJAuEoIadUY215zsO1alYJgI+Wotr5dEICKv6Iovu97XoCQDtcKVv3AwiaEGEbLkwXifei6hrwEhUv4ZxgQ8AoxdAdU3FTVcGwf49CyPV5UoSk5JMRxA910sd+Sx9QMx8FhucrUGb7JSZrhYDcMgseODGE4/IxCIgqqKKq6ZjfqHGRRDN1qSV48DZ2BNAkdlbpuAsDppuuHpK9/+Le//9P5i1chIG1HnXYISkM4hHAeevmanFStNZusqGqW5xPXi7L5crXOhoRgLwIUhqcjiIiqWUDQzhUqw6OTqUyhUmsGIfECIkpIMxx6BSASh+YAaLSRFF03HM1wNN2GKQR7ESjqwZMIEVKTEwaGRkJCaHRMIyfb9Tpzyk9uMCQ6M8v/XFBmBbvRNGqMVm/q1ToqVeRyVak3dZa364xerirlqlKpq6WKnMmxO4lqpihCpiKdF7IlqVXfK0mZgpjMcluJ2spGYX4lvbCSWdnIr8dalOTFtdTsUnx+JbmymV1ez8wtJ0anVifntuZXksCKW1rPzC3Fp+a3h8eW+vpnenrHex9MDgwvDI0sPng4ffvO8I2u/pu3B251D3V1D926PXj91sOr1x9cvtp78XIP9FUDKB86fP77g6f2fXfsq31Hjhy7dKNrYHh0aWZ+e2EpsbicXFpJjYwsPHw49bB/anZ2M52pNZtas4kqVWFpeXt0dO7mrXtnz129eOlG/8BYLJ5pcrKG7Ey6eLur57v9B0+fPr+5ETN0C+PAshzXwWCiASZGYB32ZAaq851dPh2AbhhjwzDA146a2dAbT/W2qQ/eU7dn3WCoJoMDCGydrg1/d3yAFD04iVAlw11OOfARnQm4XajteR6Y9xDS6p8G6xaqGQT9exCBuo5nmjbHCaIoY+w7duA6wU4s/fZf31taXEOqVa9x1MYC7DM8DOJ22LEDRTbAMQ/wF5xZsBtpCKSFIlCXf4Rij4nqEj8gfkjCDiExLyCa4YqyjjQbe8SwbM2wqBxr2FZkVZCmIF0zTKp2AjI31DUOLovv+4Zh8DzPcZyqqtCKbhiGoigwDYSEODi0bN9xQ013WF4RJGQ5gYosXlRFWbecwHFDpNmqZttuuEvzjMaA2G+1S9iuh3RTlFVBUkRZMU0bFE2hsgf9k6QtGgfTjOcFYIyg66bluCEhloO9ICxVal3dd//yxltINy2npQ+H/VDVDElBpu2ELfEAgr3ItLAooSYrQqLDtLCsGpKiQ6kwJAT7xHYDWKWFAQEVVsfGnhfYlut7oWNjkDoBQVGITlTNoFc4bFMmkG7woqwZFgS/QUSwH0DDCDUE+S9qz4dPJHBIWzYrenwx8QtP3P9UJa5QlooVqVpHNUYr15RCWaw1NEHGlZpariqlilyqyqWKnC8JqSyzk6jupJntRA0SFJs71a1EbTtR20rUsiUpnedjqcbqVnFhJT23lJxfSS+tZeeW4rNL8an57bHp9cm5rfnlxPxKcnohNjm3ObO4s7CaWtnMQn5jbjkxvRAbHlvuH5p/0D/TPzg3PLY0MrbcPzh37/5Ez/3xew8mevsme/sm7z2YuHtv7Pbd4a7uoa47wze7Bq7eeHDp6r3zl+6cPnvr2Mmrh49ePPjT2XMX7zzon56Z3wbPkfWt/GasGI+Xt7cL29uFRLJSLHLVmlytiaUyV60J9YbUZBWWVzkBiZKuqJamu64Tuk4gS1qtxoqCQmkG2PUoQkIwBduzQJnCGfgUdEpoA1JTz4JdUoGdOAiaVf8VqcBd71NEoBauu0D5WSMpDEOQZekE5V07d84cnZMEfQcciMG3MAwJdlt2tIEfwYiH5g4QLYKoGam6rplQtiIRKeQr7+z9cGpyXpZ0yI3KkiaJGtgaeRgMQH0A6yfVOCVRA60JmAMogSx6HH/9kLg4sp3AcnzD8iAcCyJiuwHSbMPEng/SrBi0rwEabNdTNaNUqVXrDZYXFKTbrud6ge16hmUjhFzXpZcliiIokGqaZlkWrI4ty0IIWZZFCPFDYruB44Z+QFwcabpj2T7Ehki3Nd1xvcj1Is1wNN1xOkAZlByCiPhhRM+tjdGh7XqWg23XA7oIxwlArtA1EzI8nW2TYbsDEyEdei4AmhtNbnh0/KNPPq3UGvTgtuvJKhIkRTMs7Id+QKDt0MWhbroKMjXDAb1jVbNkRddNF74CNGGDrbjreq2kEA7CgICnD0I6NNmDLKqHA9f1FKQblgNfB76RYTkK0gVJ0U2LZiSCiFApzv/WRrWl2oP7UUWUais++aD99z/nl7bnMjk2XxKqdVRraIWSmMmz5arCS26hJJZrSp3RGdasM3q5phbLUr4kZgpiMsvGUo2teG0rUdtK1Lbitc2daosJl+Niycb6dnl1s7C6WVjbKgEfGfqnZxZjS+uZlc1WU/XiamppPbOykW1lM5YTM4s7w2NLw6NLw2NLoxMr45NrYxOrw6NL/UNz/UPzA0PzA8MLA8Pz/UNzD/pnevum7t2fuNs71n13BHQ7L1/tPXfxzqkzN4+duHroyPlLV+8NDi/ML8aXVlPLq+m1zdz2TjmdrudyzUKRK5WEUokvlwUQtm+yqiiZmo4tOzQtXzewqtkKspBqWqYHIpZtgZ7QdTzHdrHrwQxMY1jSAcH0nu0KaalFzROj4ZHfwf/kNneC+JPg3mlO2nkOuz6RDjVK26Tysk/uTJ4IlmEHiNDBKcc0TZBDhEU9eNHCqhn6pAkhIJAPyhK25ba6BJ2ARITnlIMHDi8urmnIliVN1x2wwkKqBWnZMCAYR64bGrpjGhgk6h3bVxVDlnUNWbKkQzcz+Cj7ba6C60W0OR77xLQ8pNmKaoqSpiKrtUzGkWFi0/ZAMtvBHuACPPmG5QiSUixXKrUGy4sgdQJggXRTFEVwunrqHAnXqnOpZDm+abX01fyQWLZvt1uNDRPrhuu4oe20ANp2Awq+ID4JPcSm7UITKUg9ONg3bVc3bd20eE5kGBZcWiRRQaru2BhkQDoFr0GMVFU1iDdhga9qRjKduXDpSq5QUpCuIF1SEC/KLC9KCoJeVtP2NMPRDMe0MBTidMOxHd/BIZCIwb5HkJAgIUnRRVFWZCSKMscJioKgBgvuLbKkgg6XphmGYYFGiqxqSDeRbsqqJqsa0g2kG5KCRLk1K+xaNDzrGXnm4xN2dNJ2voKnBdFPuFn/r2zPVesIELnaQPmikEw3UtlmsSylMkyxIjGcxYluk7fqTb3e1BnWrDJmua5Txc5MQUhk2ViqsZ2s76Qa8TSzk2ZiycZ2oh5LNnbSzMZOaXOntLqVX1xNLa6l17cLoKcMjXzAUF5aSy+spuaXE3NL8eHRpdGJlYnp9cmZjYnp9bHJ1ZHxlZGx5cGRhcGRhcHhhYHhhf7Bub7+mft9U/ceTN65B2pE/RAsn7vQffLMjaMnrhw4dObi5Z6B4fnZhdj8UnxhKbG6kY3FK7FYMZmq5fLNYpEvlrhyRWgwCi8YHK/xgi6IuiDpomwoqqWb2HZC03Dh+VdkXVV0XbM8D3KOruu23BI7I9/OmOhJRAbw6gRxejvBM7TT0e4f22gkS0GZhrGdOAth7y8fhP4zbHue0u/15P67vhddQNi2jRCSJElRFE3TfD80TVtVNFCOhiSmadokIq3QzMYQpgF5VhTUMCC65gwOjFYqjOuECFmmgS0Tg2k0mMt5mJiGi1RTVQxVAXsUD4pdqmKAAxP4V9m2D39oGti2PE13TMuD4NS0PU13VGQpyJQVQ1FN+F/NcFRkgRiQ6wWGZcP6nYaKgE2irKqarpu2aTuwj4J0mpegV4k+w3TpEwSBbduAy6pmaYbj4giSsyARBxQIWTVkxWj5cSALQBnkpCCFYrsYtINN21U1HemmZliaYUFnKcuLDMsrCoJWF/BqoXR1oB620hc4AClUVdVAHxzADjIhm9sxXpQqtUal1qg1GIblBPBHCaKQEEhTCBKSVUPTbU23AaDDqJUfR7otyhrDivUGxzSFJsM1GQ6MtVRV8/0QpgRV1ZDaUoYBfW2gi7RB2ZBVJClI1QxVAxkZzbBskKICFZrWdPUPIGan0neHgNduUI6g/P6PGLP+8vacqHgMZwIol6pyOteMp2rxZG0rVsrk2GpDa3JWvWnUGlq9abC8XWkYlYZeYYxKwyjXtVxJimeamzvVxbXsymZhPVbejFfhtZWobSfrQIPbjJchHF7dyoN68ma8vLFTbOnDraVArnNuOTE8tjQ2uTo5szE1szk+tTY6vjIyvjw6vjI0sjg4sjgwvNA/NNc3MHP/4XTvg8l79ycgldF1Z+jGrf6r1x9cvNxz5lzXidPXfzx87vLV3qGRxYWlxNJqamUts7VTSmeb2Vwzl2vmC2ypJFQqYq0u1xtyg1GarCqIhoocw/RNO7DswHYC2w2hUA4O7b4XeTiC+DLwwzCIaMizK1J+6gZw1ul9S8u78FgihCCxQNqD6R+YgZ8Kyp32NrDbLw+jJwNn0Pym2ZUnd4C0DLigEkLglyAIIIXKMAzHcdBsoqqaIEjQ/Aa2IIqCfD/UNROcisBpSRRkWVZ5TtKQqSErny8bhmNbWFUNjEPTcBRFl2XNNBzH9gzdFkWVZUWkGrKEJBFB4oJheKbBcayEVMNxfIxDXbM4Vmo2BZ6TBF4RJBVMNJBmqZqJdEs3HdPCluNrhi2ruigjTpA5QVY10/VC2/XAwQDW9SGBhLIO4RvSTVUzFKRBHKcgzTAMjDG9SjB/0wDZdV14pCGtZBiGCnYeAQS/EdIsQVR5URUlxAsKL6qyqsNJWo7n+aStQhnBit71ArDSkFUkq5qCdFUzVM2QVU2UFU6QbMuF/nUPB0HHvEz9BMDzW9dNXTN1zQyiR3UwsMtBuul6gSirsoqgN8rBPkTloMSmG44oIRAdBaFR2v8ShMQPCfXokxSdhskCL2maAe6OUBbWkAE1ZIx96ANyHU/VdMNyLAebtmNYDmjIQJzuej7YPj2Gy/+DMLbThAFa9h9lNtrC3DRb/b8YLD8nqwHDmdU6qjN6vamXKnImz6UyTDxVzxeFOqM3eavBGnVGbzQNlrdB3r7S0KuMUW7oubIMoLy+XdqMV2PJOkTNkNnYTtRiqVoi04in6xux4spmDgSU17YL0FGytl14DJSX4uOTaxNT6xPTGxNT66MTqyNjy63X+PLw2NLQyOLA0PzDgdkH/dP3+6Ygv3zn3lhXdwuUL1y+e+Zc14lT1386cuHS1d6B4fm5xfjyanptI7cdL6eyTDbLpDONTKaRL7DVmswwiGmqjYbCcogXdFEyJNmUFFNWLaTZuoEN3VFkXZY0Q3ewG7iOb5qOrpu+FwR+KwKFp4s+bzQy3ZVm7QRlqLnRKBtjbJomdGfYtg0w2snI+bu3fBcW008nbVCm7r9PAmtnzuGpWxiG1IihMwNDjwMfAVq0kKqGz/I8DyHUbDZBUkCSJFXVJFEBV1NJUhQZybIqiQqw5VRFA889nhc5VhB4ydBtRdFlSVMU3TKxLGtINcAWREMmQqZtYdfxTdNFCMJkXRAUnpMEQRF4mWNFnpNlScNuAJ7NiqIzDa5eY5kGxzC8IKmSrCmqobZl/yzbc3HoBcSwXFnReVFpchLLSaBYDYrpDvapDZJpu7KKTNuFAFkzTFUzkG5CigNMvumqiAIxZOphYRRFEVw9y7IMy3VwGEQkjIjrhYbpgnqnpGiyoqvIBPMO3DZYAhjygtByXMNy4NwsxxUkRZAUSVFVTTcsGzKwZoeOa2fZCuSuPBzYtmvolq6Zhm4BWzxsE4dCQpBuUs0ABemGZVNru3aJLwwiopuuKCFwKgFGhNeaYwj2W0l814ss2zOtltuhIiMI3lVVk2VVFGRw2PK8ANQTwVxG0wzdtIFL2VbgDC3HVZBOk8i/kL54shzylOfo8XA4DInvhzCB0WD50SskT31C/4cA/Rwnug3WAMBlBbvGaJWaWqmppapSY/Qmb7G83WDNGqPVGlqd0avNtupFQy/X9UJFzRTFZJZN5fhMQcgWIbPMg/BFItOMpaqpfDNdYHfS9a14eTtZ2U5WtxLlVqTcAuX0/Epybik+u7QzM7c9NbM5MbU+OrEyOr4CiAwp5pHx5aHRxYHhNig/nLrfN3W3d+z2YznlbsgpHzl66eKVew/6Z6ZmNxeXkytrmY2twna8HI+X4/FyKlXL5ZvVqtRsahyv87yhGz7SPEW1RckQJV1FtmUHnk88TKB8pGu2ZboYh8Aec2wX4xZuQtoUIIlWvXZB6i7+I1QFOyNleEoNw4DcK2yQNOg8zrM2mtqmJcdOxAdEpqbrtB5N/9mZgdk1pMIwhCPQE+48OIVpiPVM04T0C+xmWZYkSaIoqqqqqqokSbKsSlKrQVHgJVGQJUmRZZWGaUAPkCQFKlEtzU/NwDiwLBeSHlG7Aw0Yx2Drh3EQ+BF4qoKkgyIjRUYaMizLBb6HhgyOExsNluNEWVIVGUEfgWm7gFmm5cLvloORbqrIUDUDDHCRbtpOK1FLn3nsh4ZlK0iDfC71uXCwD8t5mA7hmkRRBMYWMFoMw4BaH9y+1jzth8CnhPqVigzDchzXN20X6oegAvwE3aLl/QiJY1UzRFkVJFmQZFnVTNuBv/JDAjAHtHcq6ArLPKph3TK0xYHf/is/JNgPISx1sI90k2F5WUU0iKYvKELKig5GgprRSnwHIQHrYccN/KBlAmtauGVt3nb5guEhSYpp2rTRCXaANZbt4k6BXD8kDvY1w6JCyVDtpC8YnPCEAuXpl2kY8K2j9rwFBSTwZGiBcocedxiSzjrKrhXqPw7KTc5qchYnOqLscYJTZ/Q6o7O8XWP0RtOAGLlcUwtlMVcUcgW+ztqVhlGsonxZyVeUfFnJleVsUYJ2kjZuXtDeAAAgAElEQVQoc4ksm8iyySy3HivupOvJXBMarLeTVQBlamXdBuWW1cjCUmJmbnt8cm1kfHlkfBkSysOjS6OtzPJi/9BcX//M/YdTvX2TvQ8m7z2YbKUvuvqv3nhw8XLPmfNdJ05fP3H6xtXrD/oGZqfntpZWUy32xXYxl2sWCly5LFarcq0mNxoqy2q8YLAcEiUTaa5h+oblG6YHLw1Zjh24TmiZ2DKxh0PX9Q3dgt6HXVlaeMB2wS7cMFrBo6gdPkG0gLSyYRhQmgfGQiee/kJuBFCS8t4orGuaBnQ0yrXoDO3hF9u2YUYB/tYuUKY+khSU6RCH6h9MKsCco6t1WJKrqioIAkIIY2zbtizLsqQqClIVTZZUgZcEXgLwpfKkHg5Ay9Q0bez6reW26xNCqO81rGphXRm1PER8jANohNF1S5JUUZQFXmJZgWMFUVTgs8BkmmmwwL7COLAcDL5ZwGADTyDNsBRVl1VNMyzH9SFLC6tmB/uPg3IAUAXGQpQJR9GTzk9wry3LAv0Qy7JAcQoGwKPkT0S8INJNm+XEap1hWF5BOuWfdb6C6FH7gxeEumlBvkJWkSDJkEqGDIPlYHrOnhfAlAbesjD6Wi6Oj2dRWwZXXuCHkesFXhD6YQQXQZQVlhdUzaA2OoCJYGgNaGu7gYtD14vCR6VIAtkMz2/Z9JgWbnmA+aHvhdj1Wy4zfgjvU6CESoNhWJA1pojsh5Dld2wXW05rQnU9H4TtvSACriq0ocJlp1T0p2627YLCODDwqHt6yws42A3KTyIyXaH+46DMi27rJbmChDnRaXIWQHOd0WuMXmto1ToqtxlylYZRbjwS6sy2lS6SOa71yrLxTHOHJjHi5c2d0kasuLlTAlDeSlQ2d0rbyerGTml1MwcCnsDHmF6IQYlvsh0sQ6Q8Or4yPrU+Or4CkTKklXv7Jnt6x7vuDN2+O9LdM9LVPXT1xoPzF++cOnPz+KlrBw6dvXL9/uDwwsJyYnUju7Cc2I6XY/FKKl1PZxq5XLNY5KtViWEQx+uCaEqyJSu2ihyku7qBDdMzLc+0fEN3LdNz3RCY+WFIgsd9QDqnx7DdBUTDScBHGArPmqIhOQALf3pfd4EjfZ90MCJoDgH2AZIDBV96Prt4EfTI0eMJboh8nzy9ztif5osNw4D61bMmIdgf3gFEhjjaMCyIehwHQ5MINOAR8ph1Hnb9ljWfgy3TtkwbYx8eA98LMG1HDDvPk/heQMsyrosNw9Q1wzQsx8GiKIuCJIqyJClqOxXqYfgL4no+NHppBjRk2grSkG5ohqlouow0VdOh0K+bVucyGdgXhuW085gRteAEjIClA0xaMDXSi9N5X+B33/dDQiRF9YKw1mB002J5AbS5LacVBgSkIwxs9xCHhOimxQmSrGqyioAOwQmSICm2i5FugoiwaTuqqikKApUry3LAugX6RMKQ2JbL86KGDN8PbctVFATHdz2/Ta5wJQUBN7ktDw9GqA7QRRwcQvedpOhe0DL5pcIUkqyZFg4iAg7ZDg4R0uGZAMNcuJVQ34NWzE5OiOc9li3xwwgS6JaDHezppgVsccBo03Y0w9Q0TaeKi+2cIQ0m6LNDb8oj+nx7KDo2BtcFSMRTQV0YabA4JoTQp8O2bWjK/4e35zjBYQUbchcsbzc5C3pJGM5sNI1qQwPCcrmqVGpqtY6oKV8eAuSCkMrxyRyXzvNU/iKRYXfSDIAy6HZuxstb8XIsWd1J1WKpWixZBbm4te38ymZ2ZSMLoDyzGJua2Zye3Zqe3Zqc2RibXBsdXxmdWBmbXJ2YXgd63ODwwsDQ/MPB2ZY7X8/InZ5RAOVrN/ogp3zyzI0jxy5dvtr7cGB2dj62sJxcXEnGU7V0tplO1zNPA2VRMiXZUlQbaa5uYMPyTMs3bd8yPccOwN2Sslw7m3R3gbLbscFzCDHRrkGwa6P4FXbQNp6VAqM42Iny9KMpJgKCP5nUfvI4NOMBoXpn9nnXznT80XzorhQ2/TjyeAqvI9HSphwFBJoUKPutBcpByxoVyjsYe46DsetBZRVjH9OMjh9Sq2ya04vaBGQP+7btthzFPR/+0HUwLDyoWS2AMoSBISF+BL1eNuQivCB0/QAiL8jewu9g9QalJMvBsqqBKSeY1UNcCRZEECPDUgl+77wpnaAQti8cABydHgRJdrDnYA/7AZwDlNSCVnLWp5llyPnqpu1gTzMs3bQ1A96xIMXMCZIoyKIgS6IC1lwI6RoyNGRAngesFCVJQUiHxkso6znYhxQ59gNK04azon1xAJRBSMCOR1Z0LyBAUoau6KDll2bXGR74GMVynedEWVKBlm4YlmNjSCCQtp0uRO6u66mqxnEC0A1dz4c0kWk7QI9zsKebNtINWLW03YoJrALhGYSlJ6zw6OoT7g7N42maQQ1/gaMJeRXLdMCfF6jToNyEsU8L2lB0IYR4nqcoyj8OyYQ8x/J2k7ebnMVwZoM16k0DYuQmbzdYo1pH0DxSrirVBqozOpg/5UEfriCk8nwyyyWzbLYoZUGiKC8ks1w83YwlG9ttUN7YKW3slLYSlViqGgNcTtVaoLyRXV7PLLXTyjNz27PzsdmF2PTc1sT0+tjkGpT+Jqc3xifXRsaWh0YXB0cWBobmgRXX0zt+t3esu2e0q3vo2s2Hl67cAxGMn49dPneh+8HD6dmFnem5reW1dCxRSWYamUwjm2XyebZY4qu1R6AsCIYombJiASi3ENkOXCfEbuThyPcIDZZbAVr0CJTpQ9WZJqY5Dfpk/sKdoFHtEyj2lL+iH0f/d1fxjYqf/d3jBI9vNKagJIFdn0jaBSsY3Luwnl6KZ37N4JEoBF26Ag1gV7EbnFYguwKhDVTDwGm4c4ajJ9a50UVA59QVPU5KI4RAz4Tr4ZAQL2jrMGA3JCQgkR+FfhS2c4kd0BPBgr1VAYOql2k7dO1Mo+nORQm9er/AegwJARdyB+OQED8KNdNwPezB6jkK/TDAgY+Dlsg2pDUgzAeAhtiWMnbpmcAkAaZi7dv/qK4FxESYriCfC62VtuuBWgB8zXK1Lsqq5WCwbBdlBekmzGdAR4GOPi8g0LkXtLMuwG8xLKwbDi8otQZXa3AsJ2nIEHgJwnOAQtfxoKuQKg2A0Cvb5AuFkmHZlKJHvxedNgCUbdej2R4YqJ3VGhg8u6hsdC0IQmC25QIvCCYtCLVbuGy3cdnxXLdVU4G1I7UmoXybf2x7jhVsTnBYwWmxLJpGo2kwrMmwZr2p1xpapa6Wa2qlrlYbqNbQCiCgXFZybdFOiI5zVMmz0Cr0tTMYlY22U+r6dgE0PDfjpTUgKa9nFtfSi2sp6DFZWEnOLezML8bnF+Oz8zGo+AEZY3Jmc3xqbWR8ZXhsaWh0aXBk4eHg7IP+6d6+yZ7743d6Rm91D12/Rd2sbx09cfXshe7B4YWl1dTYxOpWrLS1U4olqo+BMkTKnM4LBi/ogmjIiqUiRzew0QZlDxMPR/DyPRIErcaedgV29/bUgPQX4LgTzmhpftcOz8LTp0a+nTPEL08DhDzl/HcFcZ0gS/MqpDOyexo9rhMlKe5DJVMUZUO3WspqgJZtOI46qyjtl2VZQEqBx6kzz/PUy9h5DjRy77zIuyL6kBAvCBwP1uY2xWV4H/ueFwZBFLUJUbu7meEXykWDMl0nMavzTOil+wVQxu0TsBzHCwMv8OHcWghLIj8MXN+DE6NTBbjbAFS1IbLV26KbVjulG4bkMbmPFv02aAUZNBdEk7mGblXrjUOHfz5y9HixXAEdCaSbnCCxvIB0U0Gabtq6aWM/AFDWTRdw2bAgP04oHy4kLRGikJBLV268/+EnxVINKMkcJ0iSYlkOxj5ovIBEIrUwd11PltR6nYFmll03Ar5dqzar6UB9AYdMGinbtr2rYeoZT0Q7LPAj0AMA1RQPBx4OqB8QkDEgzqagTFMZf/e5++XtOZa3edEVJMyLLqQsGqzZ5KxqA4EgBnAzaoxWraNKTS3VwL66FS/nSq0AOVeWcyW5hdR5PpFl42kmlmpst6hv+ZZ3daxlXz2zuDO3FJ9bTsyvJOdXkgsryYXV5MJqam5xZ34pPr8Un52PARCPT61NTK1PzmwAbRla/oag4jcwc//hVM/98e67IyCIcenqvTPnuo6dvHb67K2Ll3uGR5emZ7dudPVvxorb8XI8VQNQhuaRSkWsN9QmizheB1CWFFNFjqa7NKeM3Qja+TCOfC96BMotBNm9dZIuOpf2z7oBQYedAUSFTz6xz4p2n3x/V8z4C5/71AM+dbewncsmj0d89J2n/pXfId3SGU2US1VJUqCYQ7NAj0A5eoyqRQixbVsURUEQQEGULjsotu4CXDol7KqLPusLhoS4/iMKgY1d12v90wsD7PuP0DBqRWePimZBROtOu16PCAAdK5gnr/+T78Cs4IehFwTY9x2MO0EZYmf8BChDdEyp03TxDnjdtqdz/I6EQBBEvhdC7RS8aGGCdF2Pit5xnLC2sfXW2+/87eNPkulsu+IX6aalajroXUC6pmOiIrt+xz4BheUgJIbpOm6gatY33/7wq3/7z/WNmG25SNU5Tmg2OVXVwH5BVTSISanufhgQ07RlSYXUDXWkdj3fwR6QQDrrtLppQyxPa9S/kDx81uZ7YcuUnZBdKnq7Nog5Oon8/60P2rU9B5kKHkCZNWsNrdbQ6k29XFOqDdRoGkDPaDSNah2Vq0qbDEehGWxHlGxRzHYo3IOeZzzNUOcRaO1bjxVBJW5sam1ybmt2Kb6wkqSdI3PLibmFnbnFnbmFnZm57Ymp9bGJ1dGJlbGJ1YnpjbHJVWBitEF5vm+glcG4fWf45u3B6zcfXrh09/jJaz8ePnf0xNUz52/f75u6dXvwi69/mlvYWd/K7ySqkFPO5ph8gS2VhVoNOkeQILbSF1Dr0wysG1g3sGV6tuU7ToDdR6Dcmk7Dp0Dbk8v5znzuk9Hlk6AMWapdh90FjvTNzmOSJ0DzqfvTiPipw3RXSZACXOcONFB9Fqx3gnInJvq+X63WNWRQvmdr/2eEySQinuepqkod0iAzSx7Ple+aJDpjZLosfdYkFBICpuGqhgANTccGmLZcx3RswGLHw4ZtmY4NUEt5ytBtTFH4KRFc+1ntHB70snTeEfpNQkJ0ywzbE4ZpW5DQoNMDRNB+2IoQAKEgpaAgDfzHNMOqNZqdEX2nXnAUkl24AbqpUUioFYCmGTwv5ovl/sGh7Z1E2HYdpWeSzReh6Be2hdYsp1XNA5U7ekHgFyq8qRlOLJ6emlkIQoKxb9uuadqGbiGkq4oGnZyu68H0ALU+3wsNw5IkpU09jJ56tdv8ZehkaU2KuyAy7CikP7kRGiJExHU8TTOoouwvb51P4t+Nx395ey5fEqt1BMhbbaBiWSqUxGJZgt5raK1usGajaQAN4xEo19t2UFW1UFFTLem4VrkvCay4THMnXY+latvJCpT71rYLS+uZueXEyOTq1PzWwmpyaT0DGnLTC7Hp+e2Z+e3Z+djM/PbUzObY5Orw2DLIEo1PrY1OQO5iEdLKECnfezB5595oV/fQzdsD1270nb3Qffjni99+d3zfd8eOn7rW2zd5/uKdv7z50czc9sZWYTNWTKVqHbU+rlIR63W5wSiiZEGhT0UO0hykOUh3kOZoyDZ017Y87Ia+/yjQCFssov9S3x0Fwc44mv4X3c3v0Cqiya9dB3lyHMAxdV2nlT0QgdsFVbsGzbM6kTpp0Z0b0Nqix1u0O+eeXahHd4CSIEWiRr0J/FPPC1zXg3NsYfTTZQdCOEIQBK7ryrKMEOr8akC8U1WVrjCijsRx1BbJC5/Y4I5AZIp9v6//oaQqru852FU1ZLuujFQZqTZ2se+pusYJAicIUOurMywniA72i+VqOpujyEgTFxQmIEcPtwYKpJTM/ixQdn0vnc1CgOx6nmbotutABvlR2B5CshvULI0gIqpmcII0OT2TSGWQbg4Oj169fgNwWTftkJBWUB8Q23KhNcO2XEgxw2Icrh78IghSPJ4UBKnOsMOj4wtLK50FPdAn6n3wMF8sa4YlyurM3AL0dtcb3N17fff7Bg0Lm7YHusmOG3gBUVQjJARpVjZfXlhaGxwaEyREOrIlDMMuzC9trG8pMoKcMnRdRxHBrq+qGsvyTpswQ7MWpu1qhkkrn7tenU9K2FGR7nwc6AajFK5GFBLbdsEG9/GH+YmfTzySfxcQfnl7LplpFEpijdHqjF6syJk8l842Mzn2ESWO0eB/60290TRa3tUQKbeD5UJFAVYyOFgDHyOZZRNZFjhwW/EyyNsvb2Rnl+KTs5tj02szizvL6xnQ7QTFoomZjenZrZm57em5rYnpDdpdPTS6OD65Njq+MjS6NDSyODSyONhWwLh3f6K7Z/RW9yBoxZ0513Xwp7NffnP40y8OnjxzY3xy7WbXwF/f+Xxjq5BI17d3yslkFXA5m2UKBbZcFqo1sd6QJdmWFRtAWdUcVXNUZKvIVmRDQ5ZlYtzBigsDEgZQAHomKNOQjZabOkkOu2Zv2MIORp2u60/qYDw1doZj8jxPQ0hIwtKGhV0xb9CWi3tyTfckWNC/KpfLiqLQbpEnz5wGp53vY4wFQeA4DvgnrutWq3WEdOBgIVWHThCIhp5a6AvDkBbrEELlcrnRaFCYi6JIluVcLpdOp3mefzIghd+fLLzQqwdBMcOx7//tw7WNdc3Qse9zomA6tqjIkiLbruv6nqwqjSZTZxq2i2UVrW1sbsXivCivrm9MTM24XuCHpHNlDfGaF4SqqoLwKRRRRVFUFOUXCqQhIbwkjoyN1pkGxObI0B3s4sAHCG7HnjAAo5CQJieEhEiKWqrUjh4/OTA00uT4U2fOffn1vmy+QMNYOKUoJKZhi6IsiYplOVF7UgSWp+NgoISvrqzfvXuvWCzni+Wu7rt9/YOyqkHqBlLnkoIO/HhofXObF6WNrdi33/2QyuQkBamadeLUuVNnLvgBxc1WHgP07C3bEyV049adL7/6VjMcQohp2AC+a2sbh348fPLk6a3NWAuR26PJ8wJV0ZoMR0nKDvYlBRXL1c3tnYWl5bYAU2cZNvLD1qxMeZ//lTwS1biAmYBqjj9r2/UE/fLO/5XtuVyBL1akSl0tVeV8UcgV+VJVhu7qWkMrVeRiWSpV5UpNLVXkQkks19VyA1UaqFRXC1W5UJWLNaXcUPMVKVcWs0U+lW/GM/WddD2eqSeyzOpWfiddT2QamzuljZ1SLFld3cpPzm3NLO7MLycW19KLqymwhpqa356a356Z26Z8uOGxJcqyGJ1YHZtcHRlfHhieHxheAG7cg4fTvQ/Ge+6PdvcM3bzdf+X6vTPnbx45duGHH09+8fWhk2eu3e0dnVvc/u7AifWt7IVL3VOz6/F4OZNpZDKNYpFvNNRyWSiVOEE0ZcUWRdO0AgXZkmw4ONINXGcESdEYVqjWmkFEVGT6IXFw0F6F2SEh2I/8gGA/ag/BR5Uiw7JDQnLFYv/gUCyeCAm5dbt7enYOGFmwA2kXWMDWE6k6rB8vX746PDQqCnLULnQQQgIf1qHwwEcO9uBR2YrFP/70c8juYT/QTRs81SE+oktXWOTCEWwX1xkW+6EXhNBlUK0zUGdXdQ0mDQe7pm0BBPx05EjfQH+DbcJi3wvgsABq8N0jkEenX19UZFXTTpw6ee3GDYZlIQlQrTKBT3hO1jW7XKpT+yLH9iUR1apNRdYd27ctj6prQuxmWy7G/rGjJ+7f7yOEgKeJ63qW6bz++puHDh0GFUoSkc4/t0yMcUh1310niKgGY0RgAWQaLsdKL7346onjZ0DeM5nIqorBsdLpU+cvXrh66+YdUVDBIgRU6z795MsDB37SdfteT9+BH35SZL1eY8HSKQgIdIGD54hpuqViDT5UEtE7ez94cH/A0B2YiuDEwEbPawkvk1Kpsnfvu41GE2wGPS8wDItme6j9K7girKysffrJ5++//+GJE6e2tmL7939/5MjRSqX2wQd/++1vf0+HE0Sjjo1JREzDDXyiKiZSLWqMEgbE94iGLMv0SEQOHjjy+l/eHh+bSacKH3/0+e2uHpCfhu8V+KTJiB9/9PnGesw03FQy/9ab797vHbBMD+n2yVPnfjjwE+SRw7YYaUhIW3We8KJ69XrX1998ZznAzCbAW4/F4h9+8NHXX+9LJtM0cofN90NV1Wq1BnSvAC6vrG0cPX7ylddef/6FFyu1emfPd/hY6p8EEXHcsMlKjaZgWh59H3stfogfEC8gQXtgwMCzLU9DJhgadCZ8wjDctYr9392eoxBcbxrFilwoi5W62uQtyFdQ6gWwlYsVOVvkCxWpXFcf4XJFylekbEnIFLhkjomlahs7pfXtwtp2YX27sLSe2UpU4M3NnVIsVVvbLkzPby+vZ4B6MbecABeo0cnV0am1ien1ien1ial1yFcMjbbELoZHl0bGl4dHl/qH5vuH5geHFx4Ozt67P3Hn3kh3z1DXncGbtx9euX7v9Lmbh4+e//7giSNHL/x8/OLd3pH7Dyc++vS77p6ht/Z+cuzE5fX1DOByuSzWG0q5LJTKHC8YTVat1USgxHG8Wm8I9YbAcnIyncsVypUa4/nEsFyausJ+5IfEtLGDA1FGlgPByKPRQFn9sXj8w48+7n3Qh4Pg+s1b45NTluMaVqsmTtduUPViWV6WVd8Lz527cPHCZUVBhBBZVkELHEC5k+0kyqqkoBOnTl+8fBUUCSwHG5ajm1DKDikch23pW6iNmLYLVr6dcYcXhHBig8NDXXe6RVkKCeFFoVqvX7tx453337t05TJEZ53gGxLiP05OMG0b+57l2NVG/ePPPmU41nTsgERBFNWqTaSaMOh5TsZuqCELnnMAiE6TDg1ZjoPBygSsC7/44qvvvz8AlwVsSqKQ3LzZtXfvu5lMzvdDODj1wSMRGRwc7e8fBtAHpw84Mnxi4BOwf/5u/8GhwTFRUOmZVMqN99/76L13//blF/sEXimX6paJdc2OQnL8+OmfDh1lm+Ltrp5jR095XsRzMlJNUVQtq2X1BNNDkxEAczEOOU66cvnG9laCbYqgLApi/K4TbG8lbNuD9g1FQa+//mYinuI44fy5ix9/9OnRo8eXllYgmIW2DqTq0PrB8+LU5Mz42OTOTkJDxqVLVy5duqLr5r5v9r+z9z2OE6gZCiHE98JyqdF9u/d+78DVK7cEXiERMQ1MIuJhAmT8UrE+P7fyzt4PX33lza5bPZVy47v9Pz64PxAGsE/Uvk3kzTfeSSayHo5kSctlS3CobL584uTZEyfPegEB41dAZNeLoJdPQWaTk27d7tn//Y+GhQkhUGNsVRo7zGJg87zAtl3HxtDnGRICTfDgsibK6sraOsuLYMMWEgItNvQx9AJiOQEgr6Y7kmIYJgZcdtxQRZasGCD67IANTkQ6xk9omdh1vBYFPnwKwfGfAsqJdD1fEgF/80UhXxRA5B7YF0C6KJalbJ5LZ5upLBPPNDIFrlhTKoxWaaBiVc6VxWxJSBe4RJbZTlbXtwvLG9mF1dT8SmJuObGwmlqPFbfi5Y1YcWOntJ2srm3nZxZj0DCysJqcXtgem14bnlgZnlgZmVwdm1gdm1wdm1wdm1gdHlseGJ7v65/p7ZscGJofGl0E0kX/4Fz/0Nz9h1Pdd0e67gzc6u6/1d1/o+shRMoAyl9/e/irfYcHR+YGhmd/PHxmdmHr2++PTs2sx3ZKiWQ1m2NKJaFcEUtloVaXBMHUDV9WbEk2NR0bpqcgmxdQnREKpdpOIp3Nl7AfGZaLdIsXVVnRL1y6drv73sjoJAwF2/XDiOiG44cRJSHZLsZBWKpUz164eO3GTdfzL125Ojw6Bpq8dHEG5W/wCQX/Ooz9+/f7jh07USyWgbNJSMtJD+AeFsu26wHvZ//3B2bnF1wvYHlRN23QmQXWKk29wWhmecG0HewHmmFyggRxNPZDzbBEWYH4XVLk3//xD//P//l/Hw4OhIQYlqmb5k4i/tvf/+6Dv30YEuL6HiwIYO3veNj1cNBKCMMaQnewG5BoY2vr488+hTgadhZ4pVSskYgosg5hF/wMA+I4vq7ZoMYJvQO25YH3BAxWnhOPHT2xd++7iXiKEGIYLUvpra3Ynj0v9fcPGoblOD5FZEXRfY+cP3f5xvXb5VJdEhGgKgTIkojSqXxsOylLGnbDr778dnlpPQqJZeKdWEoUVLA03d5K6JqtKsbZMxe/3ffDysoG2xR77z08dfIcUs3eew/PnL5AIgJ2J+DABN8CwIttivUaqyHL94jrBmurW9UKYxqu6wTYDcHPdHJi9pWXX0+n8o7twxjY88JLmUwuDMmFC5f++tbezz77Ymx0wjRaRrek3fOGsS+K8vzc4q2btxcXl5tN7vr1m+fPXzR06/jxk/v27S/kSxSUdd0khNRr7NGfT+59+4M3Xn97cyOuKMby0gYsF2rVpiRq2UwxlcxPTs7d7uoZH5uuVpgDBw7f6e6Fqcs0secRVTFkSfvDH/Y87BsSeGV+bvnnIydXVjbzufL2TuqHg4d/OHiYmvuBQTX0j/gB4QWlyYq3bvfs+/YHUdZkSbVMhxCiaUa5XK3XmfPnL3KsAP17joNpBkORUSKRUpAmSLJu2pKi+mG0Fds58OOh0fFJygChFnxhmzQNsvqdMURISBgR3XR5UWV5mRdUSdENC/sBtB0R7IbYjRzbs0zXdf2WtUX4WFn+fyVT8XRQ3o6XMzm2VJHzRSGRqu8kqtk8V2to5ZpSa2g1RitV5VSG2dwurq5nl9cyW4lKPNPIFPk8DZCLfKbIp/IsNOmtbuWW1jMLq6m55cTs4s7iWnptK78RKwIfbmOntLyRnV6IzSzuzC7FZ5fiMwuxybnN8ZmNiZmNydnN0YmV0YnV0YmV4bHlgaH5+31Td3pGu7qH+ofmhkYWIV4QII4AACAASURBVHAeGJrvH5rr7ZvsujN083b/rdv9t7r7b95+ePXG/bMXun4+fvHAoVOffXnw+4MnJmfW+odmvvj6x8Xl+MeffTc9t5HNMolEJZWqZbNMJlsvlvgGozBNtVBkeEGv1vgGI6nINkzPsLwmJxdLtWy+VGuwmmEj3XZw4AXEcYMDBw9/9vnXt7ruyoruB485OfphNDw6dvL0mf3f/4CDUJDkE6dOP3jYHxJy/OSpOz336JTeuf6BWEbXTGg2vX7t5v7936+urMN8PDszf/bs+dtdd3TTgjJLEBHNMBWk1RrMn/a8FE+mHexLiupgnxcl6o7T7vuCfgSf5UX4c1XTofcJ0h0sL7K8ANh9q/v2Sy+//Pqbb77/4YcM24T0hevhTz779LMvvwgJQXqrmwCaLGzXaUO/B+UpiKaDKBydGP/52FFZVb0gCKLQC3ymwauKQSLSZIREPNNkBKbBO7ZPIsI2xUadUxXD9+DZaDXdgTIDISQKyU4s8eWXXw/0D0HYCEmMfL746Sef99ztVRUNomDshkg1FVlvNLhEPMM2RabBLy2uXb/WNTw0ns+VsRtev9b17//2mz0vvHy7q0cU1NOnzi/Mr9zv7T918tyRw8dVxZBlbXBg9N13PpyanEslc7e7ek6eOLuyvKEha2Z64adDR1XFuHrl5t8+/JRlRQBiSG54OIJvFPhEljRZ0iAz0HXr7p9feu34sdNINRt1zrY8gVckEc3OLH70t89y2VK5VFcUlMsW3nrz7Xy+aBr26sp6NpvPZHK1agMUlEzTti0XId0wLNO0t7d2jhw++utf/+b8+Yv5fPHGjVsnT57mOfGrr7554423tjZjLU0f0xkcGM5m86lkLpnIxnfSTIOvVdmV5Y0X97wyM73IsTLHSo4dVMqNZCI7PbVwr6evVKoXC9Uvv9h35szFeo1DqolUC6lmsymWS/V33/nwxPEzTIOfn1v+1b/8x98+/HR0ZDKdKezbf+DzL74RRNX1Ik5Qxsant2LJeoNzvciwMMvLTFO4eOnap59/XWd4GPxQ4KjXmL6+/hdf/DOlZGjIUBQE5oe27SKkh4SA7EajydWZ5t1793//x+e/+fY7SUF+SxfUo8tZ1wtc/H+7+87mtq5sS/+lqZpvU1NTMzVTndtu27JlSbZylpWTlXPOFBWZRUmkRFEUxZwTmAAm5JxxcXPOAXc+bBJGK9ndrz3vvTmFDxQEXFxcnLPOvmvvvVYhj1KZHIbiNEYwDCuJss7yMsNJOMmiOE1QHEULJMWTFE+zIstIINULGw9NcUW+yCgx9/pNx2f+YC4cw2MJMhBCZuaik9MB52zE7U1FEwS0VkfjhMefnp4Jj0/6xiY8roXYrCc+vyQt5PanvaGsP5IPRFFPMDPrSSxWIs9HQdFiesksdWo2DCYjY1O+wdG5vuGZwbF5CKXHprzgbD04Nt/bPw1lcN29k+1dY2/ahl697nvxqruj2wECnh3d4x1djvausZa3g40vuxpetje8aG942f68se3Js5aK6sayezXXbj68cLnsTnnNq9c9VbUvN23dNzDkXLV66/1H9T5fanY27PUmI5F8KJRNpck8ysXieZwQecGIxrLZHMnyKpKnSFqgWSkYjhMUp6hWHqOyCK7ptmXbuTxh2fbMnMdaomtl1ZQUAwx9M7l8w4umiqqa8nsPUZwMhCKV1bVv2zt1s3DpyrXK6lpZ1TXDgr4jQVh0sYTUVjqVpSjGtu2RkbErl69NTkzbtp1IpL74/Msfd+w6f/5iKpODNlxelFGcBCeefQcOvW3vDEfjiVRGUlSWFwVJzuWxdBZZ0nb4GZQ5QZJVLRiOAukM2wOKkwiKC5LM8tytO7e7ensGhod27tkdikYUTWU4zrDMW3duHzt5gqRpQf7Zn9uy7SyCoDhm2gVFUxXt581J1bXW9rZLV65gJAEwrRk6x0okyY6OTKRTSDyWFgW1yPDiOI1jdDqFAIcgiYtREhDHsFfpmllWVn7jxi1Iv0DkSNPs7dtlPT19JEnLkp7NoBhG0RQ/ODD6trUTQ6lcFtu/7/Affv+X1avXX7t6y73gj8fSE+POvt6h4SEHksMzmfyG9Vv27T20bu2mFd/98P2qtS8amwmcefig8vy5yzeu34lGk6FgjKb4UDBmWXZv7+D5c5dVxWxqajl96rxdsCmKi8fS2QwKKqOioAIbQJEcEOgsI7a+6Thz+kL53YfRSDIeS2uqxfOyrhcEQYlFUzOuhePHTns9/kAgdODAoYGBIYpi4vHk0ODIubMXCIKKx5IEQU2MT/X29ofD0XgsqWlGNBJ/9Khi48bNHe1dCIJWVFTdvHE7EU+V372/efNWp3OG50RNM0iSvnLl2tjYOEVx2Sw6P+dJxNOJeGbcMbVxw5b+vqFgIJJJ5yORxMK81+P21z9pOHnizOSkKxKOHz1y4s7t8lwOK1i2ploCL/OclIin9+8/XFFREw7HA/5wXe3TgwePnD93yR+MXr568/yFK+C33dD4av3Grdeu33a65jNZNIvgeZRMZ/L3HlQcO3EmnsggCJpKZjxuXyyWuHXrzrfffrfs62+j0bihWz09fUeOHDvy07H29k6SoDlOiERinCANDI2MT067vX5/MNzV07v/4KF9Bw5mERS6wKEi0LAKqm5AkEGzAoISeZTMITiKUQTFIXkCI+g8SqI4RbMCy0skzWMEgxMMTQksI3KsxNAChpIoSoqiYtu2oZuKrCqKUlo39RsB9GfO2cjcQnzBm5xbiE+7QlPOoGsusuBJhqMY1MZF4kQghCx4U7PzMddsBAB3EWRnw6756IIv5QvnQnHcF8pBrcWCL7XUXR1bKkwOQs/e2JRvZMIzNDY/MDo7MuGZcAbA7np00jM4Nj8wMts74OwdcAJ9AcpwUHHR3TsJYA2lFx1djjdtwy9f9bx41dXY1NHwsv1Z49u6p68fVzXevV974/bjS1fLr1y/f+P24wuXy7bvPDw4MrN2w84btx/PzoadzkA0hiIIH4uhOYSlGTWZwnFCnJxcuHHz3tu2XhRjkul8JovlEDIQis0v+BGUFESN5eVINAW7biAYO3v+cjKFYARj2TZGMCwnW4v5PUUzrHQWYXkxmc76AqGm5pam5hZelK9cvVFd+4RiOEFSinWjpllQVZ2imELBZmgO6iKnJp379h1obW2zbTsYDO/ZvS8YCMfjSY/PD8EvL8pZJB8MR12zc2vXbxx1TPCiJEgKJ0i5POb1B+49eHT4yNFiXT3c2eUxgqDoTC5fWV0TSyRB0ECUlUwun0hlUpkcguav37r5uLLy0pXLe/btxUiCE3iMIEiaunTlyt79+6OJOHQu4BSpGTrJ0I1NL581NAQjYYZjlaXYmRMEUZb6Bgc2bN4kq8piU1zBwjG6t2dwy+Yd/X3DiXgG0CqXxQicwTAqEklUVtbWP2lAURKUrEE6B9Q7KYqRRKWurv7A/kO6ZkIKq1CwZVk9ceJUT3dfJByLx9J5hAgFYwTOXL50vbHhlSzr6RQyNDj20+Hjd27fO3rkZDaDJuKZSDjR1tbV9rYrFIxNT83u2rWvsqK2u6v/4YPKDeu3zM16/L7wgf0//XT4eE11fTKRnZqcuVf+aHp6NptBn9Y33i17IApqZUXtvr2H0ilE1wpIDk+nEL8vHArGFneUgg3PM7SQSecrK2o3b9p+7uylXBZDcrhdsNE8OeNaSCazdsGeGHeuXr2+qqomFIocO3bi4oXLHrfP5w2Ul98/dOgnluGjkXginjp/7uKunXva2ztbXre2tXVUVFSdOnVmy5Ztjx5VvHr1eufO3ffuPcAxsuxO+Y7tO32+gCjIqqrncvm9e/bfvHm75XXb6MhEIBBpe9tV/6Rh796D+/cf9nmDeQQPh2LXrt46fepcVWXt5cvXT544Mz/nicfTVy5fr62ppykO9k5DL4BU0IH9h90L/lg0WVf7tO1t566de48eOREMx++WP7x2404imU2lkZbWjuUrfjh15sLsvDebw/IYxXISgpJ19Q23y+6HIolUMkPglCyruWz+22+++2//7b9v3/bj/n0Hr1y5duTIsfXrN37zzfJ1azecPHm6sqK66WVzdW3dmXMXrt24VVFVU1ldW1Z+7/jJ04d+OkIxHMjmcYJUqopn2bYgqZKsgzc2lGfIqiGrBifILC8JkiorhijrkqKrGmgq2KZha2qBZUUCZzhOMI0Cy/Isw4miaJU0BPxGub7PpmfCrrnI7EJ83pNwe1O+QDYYyUfieDROROJ4JI4D0RwM572BzIInubCovZmcccdmFmJz3qQ3lAvGsGiKCkTy7kB6wZfyBLPeUM7tT0PPyORMCJQ5RyY8i118k94hx8LYpHfCGQC8BnPVgdG5weHZgaGZ/kFX34Czb8DZt9hjPdPbPw1Vce1dY8BgtLYNNzX3Nr3uhtKLJ89aquuaHlY8K7tXc+P245t3Ks5funPl2v1DR87t3nf89t2qr79de/7SndnZ8MxMKJkkE0licsrj8cRxQkQQlmFVx/jsjzsPXLh4w+uPYjjL8koyhdTUPj9/4dqzhmanyz03769/+rK7dzgWz46MTh07fnbBHcQJjmLEqel5p8vt8YbjyQxF85Fo8tTp86+aW/sGht+2d23YtK29s4fl5Rs3y168fM0JMlToirJmmgWoK4ByyFQq43Z7p6ddjx9Xbtu648yZc21tHdeu3vjrX77YtWvPpo1btv+4q29gECcpmuUNy6ZZLhiOHj1+8sSpM26vH8XJTC6PoBhBMR1dPQ0vXoKuTbHlgWY5gmL8wfC2HTvHJ6cRFMtjOIoTsUQqkcpE44loPHHj1u0vvvzqf/7v/3Px8hUExXJ5NJND5t2eU2fOXr56LZNDRFlBMBzFCV6UIrH42fMXTp45O+V0kTTDS7KqGywv0CzHcLwvEFyzbv20ayaP4bpVMAu2XbAZWhh3TBM4g6EUksNxjKYpPhHPoHnS6wkePnTs2NFTiXhGlnSK4kATWZZUTTVwnGRZfmRk7NSpM7puAneh66bPF9i//+DoiCMWS/h94UQ8E/BHEvHMhfNXml+1EjiTSefvlj2orXka8EcOHTx64viZH3fs2bP7wMoVq3fv2r971/4tm3csW/bdpo3b1qzZsPzbVVs27zh18ty2rTs3bdz2pz9+vm7dprVrNu7dc/DPf/pi1co1u3bu27B+S2PDK5YRGxtePal7DqyFadiioI4Mjw/0jwi8YpmL3/T0qfPbtu3csH7L1i0/7t61v6a6XuCVZCJrF+z5ee/dsgeOsSlICT5+VH2v/AFNs01Nzd99t/KLL77861+++OLzL6sqa2zbFkU5mUzv23fgd7/7w6lTZ44cObZ27fpVK3/YtnXHli3btm//8fjxk/v2HZiZmdN18/Llq1cuX8NQAtY5QVBXrlzbsGHT2rUbVq74ftWq1b///Z9+3LHrp5+ODvQPCYKsKjpNc8ePnVz29bfffvvd7l1737xps22bobm3re2TE9OLEm5LFqskQV++dDUcis645latWr1p45Zvli2/d+8hTjDdvYOvW9oIklU1K5bIHDtx5sHDynAkwbAiyCszrDg5NTM0Mp5MI6IgS5KiqjqK4nV19U0vm7u7ejdt3LJq1Q9rVq9bvXrtihWrln+7YsWKVatW/rByxfdbtm0/fOTo+o2bv1v5/crvV6/bsOni5av1zxpwkpJVTZAUiuGKnY2WbaM4mUVQhhNMC9Q/fm5mgYbMdzRRIb1RNDsXeJkkaAKncrk8hhGCIAAoQ/G78Sv84P8ZUE5l2WSaiaeoeIpKpOlUhoVai2SaiSXIcAwLx7BIDA9FUG8gM+eOB6JoMIoGInlfGPGGcv5IPpwg4mk6nqaDUdQdyCz4U95g1htaKsNYiI07A8Pj7sGx+WHHwsiEBxpGhhwLIxOescV2Ps/wuHsEWGbHwtDo3MDQTO/AYi9f36ATzPpAkKitY/Rt+0hbx+ibtqGm5l6oh3va0Fpb31xR/eL+o/rbd6uv33p0+27VhctlFdUvjp64dPTEpe07Dy9bvu5hxbO5uYjTFQyGslNTvqdPW96+HYjGkGyWJikph9BHj5/9y1+Xbdu+5+SpC9eul+3ctf/rZSu/+fb7nbsPrF6z6bsVa37/x8/XrtuyfuP2Zd+s2n/gaCAYxwnOH4g5Jlx1Txr/+Oe/fbN85aof1n67fNXv/vCX9Ru3/vXzr/78l7+t+mHd+KST5eUr1269ev0W0g6qZvkDkcrK6ukpl12wDd2KhGOXLl754Yc1X321bOvW7adPnV23bsP3369esWLV6h/WLl++oqysvK2jU5RVw7KT6SxBMVkkn87map88Xbt+gz8Y0gwrj+EoTgKLIkgySTPFpIdh2bKqc4Lo9QfXrNsw5ZzJY0Q6i+TyaDqLAF7n8mhnd8/e/QcuXr7iD4YQFMvkEATFXr9pPXn6TEvrW0GSMZJKpjNwh8hw/O2yu7fL7saTKVnVGI6XFFWQZEXTMZIiKProiZPHT55yzswaBVszTKgGsws2wwhQAqFrBQJncJyWJZ1lxMqK2sqKWo6VdK3Ac7JhWGDuads26NBgKPH4cSVFMpACNQzrxYumq1evp1IZy7JJgg0FY6lkbmx08vSp85s2bjtw4Kf9+w9vWL+lva3bLtizM+6fDh/fsnnH6h/Wnz1z8fDhY/v3HV79w/qvv1q+auWaPbsPbN3y447tu9eu2bhyxeoH9yvK7txfu2bj2jUbjx87/eB+xZnTF44eOXny5NlcDpMl/eWL10ODY6ZhC7wC67nldVtd3TMkh5MEO+NaWLtm4/p1m08cP7N50/bTp86/aGwed0wHg9FkImuZ9sjI+KmT55zTc5FwYn7ee+zoqbq6+lQqk0ikGp6/uHjx8q1bd+pq6wmCgjywaRQaGl5s3br9woVLT+qeVjyuGh1xJBNpvz/Y0PCiva2zr28AIJiiGBwj7YLNsryq6oWCzXPi4OBw/ZNnz5811tbWDw6OhMMxhuELlo0gaCgYySPYvfIHjx9XNr9qCQbC9lL5XSyWZBnetm1NMy3TNs3FSgmelzTN1FTjVdPrZ08bBgaGFEW3CjbFCHD7yAtKOJo8eepcVfWTBU8AIxiKEThBESSNpHmaEXhBIQgKsJ5hOFGUQS0zncrmcvlEPOV2ex1jEyPDYxPjU07njNM5M+2atWzb4wuMjDncXv/ktCsSS9As7wsE09lcJpfP5bGlpnN9yZ+QgftF0C2C5aAbBUUzVO3nKjoIoqEqBlLNdsFWFCOfx6PRRDyezOXyPM8DKJd6F/zrQTkJFW8ZJpGiYwkymiDjSQqcRxIpOpGm40kqEsf9IcTtS82546EY9sFHMIZ5Q7mFpVaROW/SHcj4w0gwhvUMOue8yf6R2c6+yRl3rH9kFsLnRX55bH5kwjM1Exp3BgZGZiedwaGRuc6eiVGHu2/Q1d455pj0jjrcjglvR5cDVOLeto9AkfKr130NL9tft/Y1ve65e7+2uq7p+q1HECwDfdHWOXz0xKXrtx4tW75u+87D9c/fuD2JiQlPLIa5XMHr1x88fFgfCKYwXMhkyWyWqq55vm//0W++/X77jr1Hjp0+ffbSxUs3T5y8sHPXwY2bfty1+9Cx4+cOHjqxYeOOteu21j5pRPI0xUj+QHx+IdjQ2LJy1fqvvv5u9dqNe/cdPnT4+MbN25ev+GHHj3uvXb+DEQxJ8T19Q3PzPpDRYnl5ZHTyyE/HJsandM3kebGnp2/L5m1//vNf9+8/+Lr5TUdHV339s+PHT+7Zs6+srHxwcNjvD2IECdqMgiRzgsRwQiqTm1vwrFm3oaOrW9UNII5ZXpBVDfJ+4JoDwpKgCI4R1Os3b2OJpKzqBMUUe2dRnICC/Hm31+MLZBGUF2RBUhhWuHT52oumZo8vsOiHppmabqm6SdLsgsfn9QchrwjyNCBxa9l2OotU1dSdu3Cpp3dg0YJeh3tDSxRURTYKlm3oNsuIGEoZui0KaigYCwaiwDWzjAhNtyC2qyq6ImsUxaRSGdMsMDRn2zaCoDXVdc+fNyIIqmsmRXJ+XzgcirsX/Ldu3V329Xd/+cvfvlv+/aaN2zzuAMdKGErVP2moqqp7+KByfs7b2zP48sXrR4+qyu8+fPSwqqqqruJxzf17j2/cuAPMxtysp+F5U23N0/6+YY8n0Nsz2PK6bWx0EhzCYtFULotBoQUs4wvnr0xPzeIYHQrG2tu6t2798W9fLHv29MXcrGfcMR2LpuKxdCKRwTCqYNmzM+7Nm7afP3d5aHDs6pWb+/Yemp52RSNxFMWzWSQcjkajcQwlJFFhWd62bcuyq6pqzp4573BMRKNximLA/xssV1AUJ3BKFGXQFSntYl8SOLUFXpRlledFmmYUWbVtWxSkaCSWzeQaGhpPnz67MO9GENS2bYZhVVUzdBPsDRYPVbBBMVWWVdOwbNtWVT2fx2KxRC6LCIKo6QVJ1lGMisXTbm/w/oOKA4eOtnX0IHmCoDiC4jCC4QTFLNhQHseyPChv8JyoqUbBsqGXD/4oOjoiCJrNIplMbm7B097Z1T84lEVQMHUlaTaLoJFYIhJLZBEU8tiQQRFllRcl0GZaiksKxb+X5ORss7Ao2aoZpqZaulYwjcXCZE01eU4kSYbASYbhSruWoCflNwHlDMKD1VMxRk6k6HiKiiXJWIKErutIDA9HsVAEDYbz/jDywYcnkJn3JiEH6A5k3P70nDfhWoiNO/3DjgXXQtS1EJtwBSdnQqMTnmHHQu+Qa3jcDcTFwOjc4Njc8Lh7dNLrmPT1DTrftA0PDM0Mjcz1D7qGx+ZftfSDDhG49kFtRvOb/pfNPc1vehtfdjS8aK+oftHY1PG4qqGy+sW1mw9vlVVeuX7/9t2q85fudPU67t6vffW6Z3R8PhDITE/7wxEkEskPDExNTnmQPJvJUgQpilIhFE7NzPp6eofb2nunpufTGYykxGQK9fljXl80FE5FoplgKOn1RdNZXNPtHEKlMhjHa909w9dvlHd0DgRD8WQaAddhBCUTyRzoAMiqqWhWLJHBSVaUdV5U8xj1uLK2s7M7lczouonk0IcPH//pj3/Zu3c/hhJgM7zYFMtwPC8udpHoBpihgeQK+MnjJNXZ3ZNIpWHDX6LV7KJnBLxMVnXoyBIkBcVJRdOBg2N5cUkx3YCAgmI4jKAohuNFGXjqUCSWy2MsJ/KCzHACSbN5jMjk8iTNprMIRlBg+gA5TEnRWG6xbpSgGHCkh/BEFFRZ0oEvhnIFSdQInGFoATJjoqBCd4Nl2opsgMauquigJ2roliJrDM3pugk1XpZle9y+QCCka2bBsk3DBsY2k853dfbdK390/97jutpn7gU/ksMD/sj8nBdDKVnWcYymSE6WdKh4YxlREjVYkKZpQ6oHKG9w+QNemMAZSdJMw9Y0S5Z0VTENwzYNW1VMVTXzCHH40LGuzj5Z1hlaGB52rP5h/cYNWx2OKZ6TKZLT9YLAK6Ko8pxsGHYknDhw4KfP//rVN8tWLPv6u+vXbtM0K4mKImssy5MEzTCcImuGYdVU1509e/7YsRPbt//45MlTQC5I4kE61DAsaJKE8LZoKGeZtqFbGjT2GBbPCWBoA9U+tm1HwtHXr98cPHh4z559N27czCOoYZi2bRu6adu2LCs8Lwq8qGvGouC1YZnmz0pGum7ynEAQJE2zsqzqhn3v/uO16zdv3Lx9247dW7fvqqistWwb7FNlxeB4GYrkDNPmeJmhOUO3FEVjWV5VdMuyQYzNMhftqWRZFQSJYwUwb7xdVn7m3Pk7d+8NDI3Ekykwu+IECaarIClFDTlFM3hRZjheVFQQU9VNC2SyzYKtWwXAayiXWgRl0wKpXtNYlF4xDRtMyERRVpW/E5kDBuM3AWUUV3KoCE3VYP4EFRehKBqKoMFIPhjJQ9IvnqQSadodyHzw4VqIuRZis+64J5AJxfFwgvCFkTlPYnTSM+EK9g65BsfmB0fnegadE87AkGNhZMI9Oukdn/ZPLnqOzAPLPDA845j0Do3ODY3OdfdO9g5MT7mC3b2T7Z1jjglv/6DrTdtwR7ejtX2kqbm3tX24tX2w7ulryPLVP3/zqPL5w4pnV288LLtXc+N2xaEj52+VVU3PBLp6Ha65sHM26PEkZmZCPn8qkSTicSybZfIoF4+j6QyJ4TxO8gyrxOLZljedE5OzNCvhhMDxOopxff2Ok6cu7d79U+OLVo7XQ+G0admuGV9F5dPauhfHT1w4dPiU0+XDcJZhZZD9BEkjVbMt21bUgqIWBFHXDTuP0hjOZnPEjZvlZ86ca21ty+cxSVI6O7t/+GHNjzt2OZ0zIGnIcQK0wIK7qCyrYDsEvmRgeAE7fJEjg27aIlkGcuzQLVLKtRVzkpwgibJSqlFrWOAGr7C8xAuKpOiqXpBVQ1J0XlQ5QZYUA9pnBEnFSVYQVUie0IwA7Y68qNKsQLMCIIZu2JpRMAu2sliNb0qixjIitHKoisnQgizpkqgV402gNeyCDR48sD5B+7xQWGyg4HnR0C3LsnlOZFle4CUcJ+2CzTIiy4g8J6dTSMAficfSmUw+mcg+rW/cvXv/2jUbHWNTOEYrspFHCCiXNoxF3f3iagQuQtMsUVBJgoUaqUw6T1N8sfMFyeGqYkKJhcAr8Iknjp/Zu+fg7VvlZXfunz1z8czpC5UVtdBLUrwjLhac2AU7GIh2dfa1tXUNDzmWFLptRdF4TlzsjinYhmH1dPfdvlV269admpq6UDACuxEYYYDtnm3bmmawDM/zIvgwgFw11K6I0LItq6CpUuoyg6Lo5ORkdXX1y5cvfT4fPAnW2pZliaJI0zRFUSA/Uuy8t5ecGawlh0aQvUZQcveeAz/u3Ds4NEZQnChp0F1tWLZu2qKkUYzA8rKmFxTVpFmRYTjwwVt0X1z6xYtGpfCACaCqOlRze1PjgwAAHAtJREFU0ixXtK/WTYvhBJYXinBcnPmcINEcC4qsoHqqmQZoC2jGoqiIZduGZUILq24a4P1m6Ev3GQVb1y1Z1uDDSqETlGp+E1DGKR1BJVC3AJ37eIoORlBfMOsP5vwhZBGUE0VQTn/wAWYinmDWE8z6wkggmveGcnPepD+S9wSzjmn/4Ng8CMINjs0DoeGY9g+PL4w7A9NzkXGnf8ixMDA619s/Pe0KTU4HxsY9kNzrHXA+fNxw525t/9BMd+/k6zcD7V1jzS39L5t72jvH3rwdqKl71djU+eRZS/mDutt3q+6UV5c/qLtVVgkkRv3zNyOOud7+ybGJBddcaGY27PUm/YF0MJSNxtBYHI3F8+kMiRNCHuUIUsAJPp5E6p819Q+MpTMYQYosp9GMEgqlu3tG3rT2zi+EZMXOZEmO0z3e6K3bD3fv+en2nUfTTg/DqgDKLK/SjEQzEidogqhzvMqwMi9oLKdIipXHGJzgGFbu7RtZsWLV6tVrf/hhzYb1m/bu2X/x4uWB/qGlhSHznGgahaXkL2/oFoQDIFcIMAoZPMu2JUWlWU6U1SV7CFXVTTCX40UZRGZB3gygHCwzWF4E1wwgOnhR4UWFFxSWlxhO5ARZUnRoX9SMgqwYkqJD46KqWzQrkjQP3YyyapAUJ8qaYdmcIJsFm+EkXlQ0oyDKmiCpsFSgja2UvoD8mCIbPCcLgmIai+28slzSaW0UVFUHT09o7loUnNQM6PezTFsUZJbhAfEV2VBVUxI1CMwhpJ2ddXd09PzcByGomUweyeE0xcuSDq/nWInjJDgfIBZVxcxm0FQyRxIs1D5TJEfgDJonoUVQVcxiog+KKM6dvbRn94F9ew9dOH9lYtwZCScM3QaPx2KzjCzpFMmZ5mKIDd3PPCeD2DzswaIgg1wZ6FFwnADxKQAuEBqmUVjUHbZty7TBDlzXzMLipmKIogyGpDTFMgwnCAIUcgGkwkwrFAqapnEcV/wnwzDwMlmWQaWvtPBgUbinRH4PxLJFUaQZobOrzzWzAL7gYH6oqKZVsCXFICgOxShOUMDNj+VljhPgPDlOgALHQmlx+hIygk+Nphrg38qLMpDFUOup6mYew4uKAhCjAEHBQmv8kmyIaReg9VTVdZbnpPdAWZZ0RTY0tVDUlbWsRQ1PVdVLpbhKL+C/HJS1HCqmMmwqwwKVEUuQgTASCCOhCBqJ4/EkFQdCI0FGE4Q3lPvgA9pJQjFs3pdyzkdn3fE5T8K1EJv3Jqfnwv5IfsIZmHXHJ1yBKzceHTt9HViLgZHZkQmPY9o/NumFwozh0fnRcXdX78TA8MyUMzg+6auua/7qm3XrN+1tfNnV1jna1jnWN+BseTvU0jr4+s1A85ve2vrml81dT5+3Pqx4VlX78vbd6sdVDTduV9wpr2ls6ujpnxgccU06fYMjrnAsv7AQi0TywWDW509FY2g0mo/GEBTjWVajaJkgBRRjWU6ZmfXmEFI37GyOzqMcTogspxumbRVsQbRSaYKk5HgC5QVT0+xkCs+jHC+YPn8CwzmGVTheoxmZpERQOCIpkWZlSbEoWhJEQzNsQTREyRREY3raNTI89ubN2+bmlnHHZDKZBjMegqBomoV6JoibaIqlSIbhhFJDX2upYQ/IXGAbAIgFSQYsZjiB4XiIJsDwuOipI6s6L8qSoi55HUFrjCVKOi+qgqSJki5IGi+qmm5rhq3ptqJammEbpi0pBkULgqTRrChKuqoVOEHhBRXezgkKw0qKZummLYgaL6qqVpBkg+dkULrgOVkUVHAPEAVVEBRRVAGYOFYSeEWRDV0rAI9c6nKNYQSGETTNAqchSYq1xD+aZkFVTIiyBUHhOVngFYFXIAynKR5KPjhWgvK1bAYF5gRa7IC7ACyAhA8IWQi8wvOyplqqYmqaxTIiSbAcJwm8AhG0KKpIDvf7whhK6VoBKvygiw+CaJYVU6kcTfGWaauKWSjYhm6DQIdpLP4hS3oui5EkTVMsTbOg4lZYPBnLtm1NNUrrYov8AzhPA5zxvAgbuW3bBcvWNEMQJIpiSrzDyVIshj/grhxMFzmOUxSFJElQ+FNVleM4hmEgUraWhKpL0VnTNJZlKYqiaVrVC6pmLU1LG7AYpqsgaXmUzGOUtBQ7c7zMcYJpFlRFZxhOVX5WpyrqUoGhqiypoiBDmzVMVIygYokURlCirJA0m0xnoe4ejGutxWZClQbn45+1nBb7TjXT4ARBVlXLtkFyD0BZEnVZ0hXFLAbLsL2BjmhRQNFcsqD8TUAZZJSTGTaRosEdNZogQlE0liRBUjmT49M5LplmYkkyEsMDUfSDD18YCcfxYAyFXJ8/jASiqDeYnZ4Lj0/7Q3F8ZMI9NRvuH57ZtP3Qt6s2N78d6B1yge0I1F1MuILOuYhjwjs+6evqnejtnx4d9zgmvS+aujdvPXjg0LmOLgdk+d62j7xq6evsHn/+ouNZ49v652+ev2irrHlRXdf0qqXnyrX75Q/qoAaj5e1A78Dk4IjLORvqG5xy+5Jud9zvT7s9cZ8vBW7WiSSWzpB5lKUZJZsjswjJ8WoOITlBlWQTxXhVs03Lpmk1k6GQPIsTIorxkmyTpIzhAkFIJCmTpEyQUh7lJNlSVFvVAL9sUTIFaRF/Vc1meVVSLMu2RckkKdGybbgNL2q2GoYF6INjpCypEAyqqg6SabKsgnThkvF7oYjOxUYm3bSAPtYMCwS9FM0A7ziQxZAUDfSM4PVgcQa6jpKiWQVb0SxB0gRJA00ZVSuIsi4phqQYgqhxvCLJRlEmUdNtDGcoWtANW1ZMjldEWVe1ApInMYKRZEPRLJoVWU6WZIPlZI6VFNlQFVPgFVFQQQ1HlnQotwBOWeAVVTUhmhZFedGHQtGK+EKSNIKgori4YwEDS5GMJCkAyhwrZTJ5IJcxlJJEjeMkkmBj0VQ6hQQD0VwWyyMEz8l5hEByOJLD8wgBsTCcGM/JNMWLoqqpFjR3AUEB9IsoqhAvUySHY3QmnYceQthLWEYEfR+gOxhayGWxZCJL07wiGwwt4BgN7dckwfKcjGM0jtEQdGMYwbK8LKmKrKmqvsje6Jaq6qIoc5wg8FLRtxfwS5ZVUZAVWZNlleMEQZAAxKF8TZE1jhNomqUohqbZogdjEVAsyxIEwbZtUKwGM3UEQVRVBYsjnud5ni/yHlAKVto3IcsySZI4jlMUZdm2oppZBA+EYhQjKJqFE4xl26Ks4wSTTCPpTJ6kOF5QKEbI5QmW5Q3dkiSFIhlRkCEchkQf0BqiIHOswDAcPDhBWspvZ73+QDKdIWkWxQkUJ9/X+JdVjaAoXhSXpFoKhmUZlgkl84IsgaGBWVgEZc00VMVUZBN26KItzt/Ztfy9+uNvAsrAKaeybDxJRRNkLEHGkmQ8SaWybCrLprKLhiOxJBWNE+EYFo7jH3x4Q1mAZrc/7Y/kI0nSE8yOTXlnoIouho07A25/emzKd+Xm4xNnb77pGBmZ8DjnIxPOgGPKN+EKDo7Nt7QP9/RPAXcxNDrX0zcFdlAPHjeUldeNONydPeMtrYMvXvU0NnW1d45dv1lRdq+m4WX7k2ct5y7ePnX2+p3ymm07Dl25fv9WWeX1W4+eNb592zHcPzTdNzA1NDozOj4/Px+dn4+63XF/IB2JIPEEnkziiSSGopys2DmEIkgBJ7g8xmA4ixMcQcosp8uyrRu2VbCtgq1qNi9YmQyl6bau2xxniFJBlAosq4tSQdVsjtdYXgNc5gUdzFhVzWY5VZQtWbEBo3lBl5UCCGmDQIGum7CoFEUDxRlF0cAzb9GwZzGYBVAugJV9aZ18kVN750kgmoFZLvU3M6wCw/Hg+wlch6yagqRxvMKLmqoVzJK6TtOyeUElSI5iRFkxVa0gKYasmBjOUIyoagVe1GhWEiRdVi1JMSlGFCRN021eVHlR1cF7glegAAOgeakfwVZkA4gLRTaAPVAUA+RgAJ4gxccyPMNwUNy6CD3gECGp4KIGAXgui0XCiWwGTaeQVDLHMqIs6aKgMrSgKiZFcpKoYSgVj6VVxZQlnedlYKKLETrPyTwng8wSRXKA4MCALyrMyTpE+qpiQuwMN8o0xVMUB7pFwJOwjAjwzTIiQws0xUM7CUTuDCMwtAC5RI6VGIZTFK3ICINU7DtsZqGwqJwHkC3LKk2zOE6SBA1Od0WJDNteJDGWrMEXxV3Btq60zBaetG0bPLdEUYTni9Z20CvxQctzTdN4nmdZVhRFXlDA8wnq3tJZ1O0N5vIETrIYTqM4jeI0/JHHqDxGCYJkWbaiaBTFiKKsLxZ7mJZla5ohCjJsJyB+Ly1pOhuWTdJMOBqLJZK5PJZMZyGJ/c6E180CTpGcKBT1s4yCZVighW7LqrLkHlCAZzRDN41FVSzo9S8SaH9//T9g/vAvHJ+huIKgUibHg3RnNE4kUnS6BIsj8cXSC3hEksQHH7EUFUmSvlAOiuHmvInO3olHVS+a3w4CfTw25QtE8o5pf2Nzz+OaJgiNxya9A6NzE66gcz76qnXg7KW7Tc29vQPOodG5iSn/qMPdP+h683bo/KXy02dvAV/R2T3e1jHa/Kb/5aueTVsOnDp7/cWrzrqnr7fuOPjlstUbt+z9P7//8uyFW5ev3Su7V1Pz5FVH9+jw2Gxr+6DXn5qeCcwvxDyeRDSKhiPI7Fx4wR1NJvF8nkskUV4wEsk8RUvZHIFiDEawkmySlJLPczguSrKtaTYvmDxvqpptmHY+z+VRThALgmjxggkBsmXbgmgwnApwBhjNi4ZZsFGMVTVbUe0cQkG7tqQUIPrjeRF4wKWVIEE8KPBSUcMQ7tAVzXgHcJcq4aEeQykB3GK7swEJPZDoLHZXQ5mEuBh9Q3rQAD1DRSsoqqVoFiAp5O5Iis/m8EwOo1kR1HI13WY4CSc5jlcESSdIjiA5gGBB0tIZNI9SsmrxooriNE5yDCvxvAwsAcAuzHtgY3WtIIkaz8uAUxBHw62rLKkgwUzgFBTtUhSDojhFMizL0zQLlXOCIEGZRDqFJBNZALtEPANkAsuIUPZAUzzoeVqWLYmaLOmSpAm8AkQzJBsLBVsSNVU1LdMWBAUKRSB6gs0D1DmAgjSMn5sO4BtB2TJ8NU21ikAPQkV2wQYeWVVMBMGzWRTNkzTFkwQLya73h6Joum6qig4066JHkW3btm0YFsvy+TyG4+Qi42G/iyP20jFLgzsA2SKyFIUdCoWCLMscx+VyOQiWi73FpTFyaZ9xsW4XImXNsAmKA1V707IZTmJ5WVmiNRTN4kV1UT1O1eErcJwAu1FxK1JVneMEcNfmOEFVdMu04YZPMyxJUQmKBq24YoRR9FiB2MWybVAFMAuW9feBi2Xbiq4Vn4c/VENfymHYf1dTuOg09GutL/+N4zME47N5NoMwOCXlUDaDMKxg0JweTaDhGOL2xTp7R+MpPBjJYqQUTaAZlPOFM4xoeYLpcAJLIWw0RXiC6USWnnFHXO5IMsc4nN4rNx+u3bz7+3U72rpH3nQM3X305Me9xzp6HZMzgQeVz3YdONE7NDU8PjfkmOvsc8x6or1DU9VPm9dt3vO2a2x0wjMwOts75BoYnRub8r5uG9pz8PRPJy43NvdANN3Y3NPe43hY1fjVt+sfVzV09ozdKqs8cvzi//hff/4v//V/fLls9YXLd2/eqTh19nrNk1edPWOdPWODI64Rx9yU0z/p9E3PBKZnglMu/5TLP+eOhWNoNs/l8nweFwlapTkDp9QcyudxkWYNUGBhaIGhRY4VRUFVZE3TTJKkOY4HE8/Sn0rXdTAzh41UEASWZWVZLhQKqqrCnSAY8WmaJsuyIAiSJIE1RnGug2Ary7JFQ43itvyOwUdxlHqavP8CYP3APaT4KZqmwalCDr2oEvvBAQGUIAgMw5AkSfzSID8yPnaeIIEviiKwk8XXi0tDKBk8z+sfGaqqlloXQ1WAKIrZbJZhGFEU4SbdXiJSwVgA3gUfBCabRVfvUh+W9w1ZiuMTa6z4g4Lra1GKt1jrWvx0oBH+HUdhycsGzqp4rT79llIXD5jSHMdBJF74uPPLpwckGIESAa8WqPEQRZGiKAzDig5hlmWVHr/U4uc36rj7rcdnOCXjlJxIE7EkmsyQ8RSezJCpHIVTch4X7pRX7T90yhdM+YKpew/rzl28dfzMtScNrb5wJhBFwgksksTCCSyWJmJpIhjLR5J4Z59j/09nln+/efeBkzVPX8+4o4NjMxW1L46fuTow6hoYdZ2/UrZ5x8Heoem+4em+YScgdd+I897j+n2HT7f3jA+Pu/uGXf3DM4NjcyMT7pa2oUNHLx4+fvl5U1dH70TTm76GV93PXnZevvHoq+Ubap68amzqeFTx/NLV8j/8+Zvf/fHr0+du3L1Xe+tOJYAyqHf2DU4Njrgck+4Rx5xj0j0x7Z10+qZc/nlPLBzLZxA2g7DZPJfHRZxU8piYzrE5VCAZDccYNE8hOSKXxbKZfC6LIjk0j2AkQbEsL8vyO6ZKhUIB1h7MRZqmcRynabo4pQBqwRwEAIhl2Xdw2bZt0zR5nuc4DiZWYckL6h8F5WKiHDx9i+vEtm1d12VZLppDw2r82CIpri44DiAXwNYHh/HJ8bHNA8ALiEsA2Xc8UKwSR58PjuIRiiYpULokCAI8CdcZnizNdJV+NTBtKpqzlH70x67PJ9ZYEZThyrzv8mUtJY7+3UGk9GSKdoi/+JbSXwcQGaiM0qn7DyGytWSzy7Is+LbApxiGoSgKUCWCIBSPXzpv/38A5USawCk5gzBphOalAs1psSSWzBDBSDaPC1dv3Nu972gwkg1Fc3sPHF++csPKNduevmhzuSMphI1nqEAU8YUzsTQZiqOheD4YQy5eK//6u/Unzl573TYwPRec9cTmvPG+YefTF20L/uSgY/bE2Wubth/oHph42zXS3jPW3jM65JjtHZo+d7ns7KU73QPTQ2PzPYPTA6NzoFv0um3oxNmbB49efNU68LZr7GVLb9Ob/oraVyfO3vx21ZZnjW8fPH5WXdd0807F19+u+/zLVbX1zbfvVt0qWwTl9q7Rtx3DPf2T/UPTo+PzQyMzo+MLk06fczY4uxDxBlKxJJ7Nc6ksncrQ6RyTzXPpHJPMUBmEJWiVwFkMpdE8mcvi2SyazaK5bB7JoTTF8LxYjJRLwaW48jVNYxgGHICKMwbiTY7jIJTjOA7uEN/xP4dbSIi47aXVYn9cm6oUlUpfUDymteQXCQBhLyFRcTMoLNmLfXCUHsT8ew/pT7z+159n6Rf/NMbZv2S6U/wixWd+zQGtpQhR0zSAzg96Ff6joFy8ILANFK2tPn0+/47jHZD99W+BAbcm77hE/qOIbC1l0mAbK51v7ycb3wf90k36N7pKv+n4LJEmsnk2mSED4XQ6R2cQxh9K5VA2m2fSObrmycttPx4cnZiLp7CXzZ1l96svXru34E8u+JNZjE9k6VAc9YbSoXge0Nk5H9qwdd/yHza3dY/EM+SEyz8x45/zxTv7x+89fjo4Njvjid64W7l6w86O3rGmNz2tncMdfY7ugcmewcn9P525cLW8f3hmyDHfPTAN+kTdA9PANW/Zcbi1Y6S1Y+TZy86XLX0PKhuPnb7+1fINTa+7H1Y8q65rulVWue3HQ7//47LHlQ0XS+iLdyLlsYmFSad/dj7i9iX8wUwkjiYzdA7l01kmkaYSaSqVpZMZKpmhsnmeZLRF+oIRWUbkWJHnZajDhw6fD9okF2cDzFFFUWCrhxkDG7hVQlZ8DMhg/hVn3qdXSHFGvnOo998F52AvhRjvIOwnPqK4XEtf9jFQ/tj42Hl+DAvef+MvLrZ3rmcpXsBiLq7nIvKaS/bGn/hSpaf9/vjEydglwXLRF/GDF+ET1/MT3/c/4Ci8dwP00QnxkVF8S/FCwaFKp6tdknP72Ph/+rX/ReOz6roXr1t7klmC4bVsnvaHUiOOGeesPxjJBCOZF83ty1eu9/hjCMZ19Y3evV998Vr5nC/uWohEU0Q4gYbiqD+SCyewYAzxhjLT86HNOw58+e3aS9fvDY/PjTt9M+7I5Ezg3uP6Fau3nDh7fXouVPO0+a9ff9/ZN/6ypaezb7x/xNU7NNU7NLX30OkjJy/1Dc8MORZ6Bp2Do3N9Q66O3olXrQMXrtz76tv1LW1Dr98OVtU11ze2PaxqPHPxzh/++t3T5631z99UVDfeKa++cv3+7/749eVr967eeACgXFvf3NXr6Op1DI/Ojk24nbNBCJA9vmQgnA3H8vEkkcrSwF2ksnQyTaVzDLAZKCExvMlzCtRISZKuKoauFZYMgK3SiVe6ct6HLdu2gb6A++JSRH7/JykeqnRW/eLK/MQaLn3mnf99/5+/+BHvLLBPvP4fPc9/6Ai/+L/vfwpQ+XbJ3UORJzE/7u7zqyDkl0DZXgroivdVHxz/BOj/Zxm/8jJ+8CuX4vI7P1Pxruv98Z/3un12/NTFU2evhmM5lBAeVtRv33ngmxVrly1f09LWG0+hfYMTX3y9EiPFYCRz/NSlFd9vXLZiff2Lt66FSCSJBaI5byjjCaaDMcQfyboWItNzofsVzw4fv/i3b9bcvFvlWggPT8xPzQZftfau37L3m5UbW9oHnjS0/vWr73uHplraBwbHZkcmFgbHZvtHXGcu3t64bX97t2NwbL53yNU3PNPVP9XZN9nSPnzx2oMvlq1taR9uaRuqfdZa39heU99Sdv/Jnz5feeFy2dOG1nsPn5Tdq6mqffnFV9+fv3Tn7v3aW2WVp8/dqHv6uqd/ondgcmxiYdLpm3NHZxci856Yx78IytEEFk8RiTSZx8UMwqZzDKT4UEImGY2XwNPTVBVL1wqGXigaWtt//3N/cAaUrjR7icNVVbU4vSBw+8S9/KePX/pfH3tBMUCDj/jYB/1zi//XrKhf/0X+jZ/4sZ+g+HeRYWQYBlJqxRudT0RY/9yVKY7SQ70T9H3wq/1nj/j+VWj4zk/wQVD+2OX6NfPwP/L47MTpi6vXb3XN+cOx7Katu775bs3Vm+VNLR1Do1MELY2Mu37/p785JmfHJmZ37jn0+ZfL//v/+vPZS3cW/MlgPO+PZL2hzEIgOe+Lz3qiEzP+kYn5gbGZ1s6hP/9t5anzN53zof4R1+jkgmsh/Lim8ft1O2qfva599vqblRv6hqdbO4dGJuYHHbODjtm+Yef9iqeff/19Y3NP75Crd8jV1T/V3jPeO+js6J24cvPx6g27W9qHX7cNvWrtb3jV/aShre75229Wbt68dX9tffODx08fVT5/XNWwavXWW2WVd8qr75RXn71wq/75m96BySIozy5E5tzReU/M7Uv4gulQFIkmsFiSiKcIlJCyeS6LcCghEbRKMhrDm6Ji69rPdr/Wkg8dyG6VVMx8GA6Ks6SU2LVKiDbDMIrVF+/QCNZ7/MYHf79fnHzA8UF4XviIMnfhPVbh14Psx0DknzvOJ9C29OCfoC/e+YjiP+FSG4ZBkqTD4ZicnMRxvFiNW1hKcL2DKYX3bp//0fEOnv4iUvxHAOV/C6j9mgjjHzqHd560P/KjvDPx/o2f/u87/i+NIWvxDfsMfAAAAABJRU5ErkJggg==)
النموذج الثالث
ا ب ج د شبه منحرف قائم فى ا /د فيه ا د = ج د =40 سم ا ب = 70 سم م تنتمى ا ب حيث ام =40 سم اثرت قوى مقاديرها 25 / ق /10جذر 2 / 35 ث جم وكان معيار المحصله 50 ث جم اوجد ق ومعيار محصله المجموعه بالنسبه ا
2- القوتان ق 1 =2 س + 2 ص ق 2=-6 س +3 ا ص متوازيان اوجد قيمه ا واذا اثرت القوتين فى النقط(0 /1 ) و (5 / 0) على الترتيب فان نقطه تقاطع خط عمل المحصله مع وس محوور السينات