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EHdoThsxs3brhs86U2S8IwlESBs/65aoodAb7oZ2GNVVJIMrFNQK5SMrjmitZTp/D006N7H6l0LP7YZZf93y2Pfv+7D/X0r2/vkFpPhQEBbT8jF98Y4w8HhmEopYyiqFwuB0Hgl0DMnmZkjDHGGGOMIx97PZHPjwzxy8cPHDiwa9euW2+9dfXq1Y1Go1wun56pDh58fv/O3Scmk6CtdcOla84///yeltaO2uHskX8ZOfDivGWXLrzwk/GCfohQOl0Sic4hZGiFck5YWEATSaJQAAQ4Z+EMkYO1Eg6AJKxa0jH/v37i5FB9397nTw0ee/SZvbuef+Gyizasu2BFFIXWZARHBCnhKMjgDJGVcIRIILQgmwEJTCNV/ehb2Ne9Jn7kgeP79ocy2biovPO57S8+c+Gma95uZZwjL2C2TZQAgjvzYrizvm7WOCEIwLe+9a1qtWqta21tXbhw4dq1a8IwJBJSCrxWXjPGGGP8mJZGoyGEmJ6e9sG7mcM59THGGGOMMY587Nw553zeE0IMDg7edttt/f3973znO4UQYRhOTk7eteWHA4cHV83r+cgt1xUXtJmWQkB5xY6P3/mv1Z0PLbny+vBdN6XxGgfA5bAZYJQUIGcAkBAQEi/NPiRAAnj5mbpSlp3fGax556XApfv27Xv44Yfv++EPHnv0kauvvvqCCy4IgkBrTZaEcKFzzlopJfw+dCEhWoAWKGj/pre1zstuLPUu2vvI/T0drn1wdOsdXz7/glXl3oUNVwgIYjbv+dxnm8/s7K+bIAJgtP3iF/7m8OHDWms/Y/P973////e3fwMgy/IwCn78g5y57CHLsiAISqWST4BZlvldEYwxxhhjjP24f5fyJWA/Xp7nAHyg2r59+/T09Jo1azo6OrIse/rpp7/1rW8NDbx43nnnXXnDjb3LelrLskRUbBw3T3139Oje4aU3YPOvgPLZUEcSIgSFoAAkJKCcVrZBZhK28ZrPJAxDIYTWGsCKFSt+8Rd/cdGiRVmWfetb39q9e7ffjGetdc75FXnGmP/ooYgIhVJh0ZKlF2wodfa0ds0fGRs/dPAwAYW5WOfQLPCdexnNWttoNJIkybJMCFEul7/zne/8YMsPdW7CMDibR5BS+jZOKaUxZmxszN/oT/H505WMMcYYY4z9R7jKx17r/wrMbRg/efLk97///TiOr7766hMnTjz11FP79++vVCo33XDj+Resi0LlbEJ5I5o41HjwKyN7Hy6teGf53f+90VoOayck4AADYUnYuf/ZEPjbbAO2DklA/OOfiXPOr8LzZ9jK5fKtt966b9++gYGBrVu3DgwMrFq1asWKFUIIXxAjolf2PUrAWjgVkdVAsW3TlRsXrRqzP9zzw21PPr79ws1vi+aSGAEOsLMHAwk/qvvhbGJWc6KmP4MnhEjTtFarAfjHf/zHdevW9fTOf82ezKVLl95www3+bs4559ymTZuyLPNH+/wt3NjJGGOMMcY48rFzR0TGGCLatWtXnufXX399rVbbunXr5OTkzTffvHbtWgipyCT5hA07ImGw/ZvpI3d2X3ClvP43x9sqqcNEub8d1kEYwJyRlwxIUgARgxQoPJtn4tsjfbkvDMMgCNasWXPxxRdv27bt6aeffvbZZ9/xjndcc801P2ZVnQBIwFkiEaPYCZi4p/WKmyrPHR159ukdU0NH5y9cDArcXLRr1vr8ZggCZmPgaz5bMXsfY0ye535LexRFaZree++9t91229lEtU984hMf//jHm4U+nHF4z3/ib2SMMcYYY+zH/AOYsdfgS1U7d+7s6uratGnT448/niTJpZdeum7dOimlsw5wQRhZN13d90T6/FNtXcsLm27VnctKaJQpTQHYVLgshC0AMRADISABB6FFnMkWLV77WJqfX1IoFIQQfq4JEcVxnGXZRRddtHHjxvnz5+/evfvZZ5/1LZ1Zlr1Kb6eF8JshHEEUYIOsYdv7zrv2Xe82Rj9w3xZTnYDLCZZgz6zp2ebfP7teSn8v55xSKggCpZQx5vTp00mStLe3Z1l2Ng/ij//hjAbOZlAUQvgyJr8/GWOMMcbYj8FVPvZyfkRksyvS72YYHx8fHBxcvHjx9u3bieiGG25YsWLFbO8iuclMhZHUe++afOiOjmJP9J7fw8IVDqaEKcp1IQuQncomJqozVYINlJJEcec8VHpIVfKgZYpE4SwWI8Rx7J9Ms7rlfxsEQRiGV1xxxdq1a++7774tW7bUarXNmzf7ZQb+/sYYH7okiJyAFAbCWSeDQFTiXGcXXX7Vpkce3bb1vljRu9/3viiMEUTGCqEi9/JOzrNNWc6BCM45X+UjomKxqJRSSk1MTDg4uJfswPBX26c4/w36RtbmbwH4cp//xn/8HvZmGmwebnzZ7c1q4Svvxv2ijDHGGGMc+djPreY/9/1HPybk61//ek9Pjx/icssttyxfvrzZaghQGFE6NnD6vi93Nmqlaz+bLlxPEQr5GIkGRg6YO//heD0xxpCzwmYirztrVLElXnxh+8Z3BOe9XYaVsyw3++B05i3N2BOG4bx582688ca77777wQcfJKINGzYUi0Uf9nyUbd7Z+nN6giwAIYikDNSa9Rt27dzxzM6nNy5bsPjSy2GtogIA4+DozMZOd3ZPFc5CSNFMU1LKLMuyLKvX6wB0roMzJricmf2cc75/1ecxrfXLsp+/Dr7O+cps1py403w0v9TBPw1/GLIZLJt/nYh8XdSfPOQfBMYYY4wxjnzs51CzduRzgv+n/+Dg4MmTJ9vb25cvX37FFVfMmzdPa92sESWE2NbHt33VaaU2fcCsvSyRiByy1Aw986B7/F/Pm9hVlO0yCKyDMGmRMunyfPpE/sLpF194suXiF7uv+pAtdYKC1//8K5XKL/zCL2zbtu2BBx44fPjwzTff3NbW1izxGWOkJJwxjsX5Q3pCgrB24yZL6vjQ2IEdW/v656muBYjI5USy4Ijman3nXvvyiy58bO7u7iYSL2vL9PsP/dAX35LqS5TNyp4fS+Pjmb/llY2d1lqllLXWGONfzTNP/TUnvjSHmvrcqJTy03GEEL5v9seXEBljjDHG2JsF/7989tI3xFwVqNneWavVduzY0dbWdv7553/gAx9obW31t/ssYYyJ4Oj5H5rnHum84Ma2638nCUutajqi9Nknnz669Z5eTOioULNqyhXH0Tpd6J1Q3eOmaLQrmmoPjdeevbu67csyH3lDnr9zrlKpvP3tb1+wYMHJkycffPBBvx0BZzRJAk4AElCA8gNdnHOOunv7Fy5bWctdffjw8w/chRMvIq+RtASLlyxsOMfU5y9almVz5VNJLxWGof8jX9bz4c0P/PRXG2cc4fuPxrcYY/wfZVnmy31KKV8S9G2uvssUcz2ifgqOfyj/NNI09ZswGGOMMcbYzwGu8rFXSU1+6Ij/7eHDh0+fPk1EixYtwhmNhbNvIKVQP3Z4+79rOW/xNR+sNbQqWqBRHR8OZ0ZaFKbGp+NKy6Ra3HPeit5Fq4Ioro0MNoYPDx98YmFRhUDUmMhP7Eb1NDoWvCGRtV6vB0Fw8803b9my5cUXX9y/f//69esxVzFrTmMhiGZ0I0HWWqnCNRsuPHT0uK0Njp46Pjo40NV/PpwjZ4WQ9o1Y0+erZ11dXaOjo/0L+4WcbaB1c5rzWvz3kmWZcy6KIv/k/Wb2ZlfnmW2ZZ758/hHiOG5G9yNHjuzYsePYsWMDAwPj4+O1Wq2tra2zs3Pt2rUXXXTR0qVLW1pamt2kXN9jjDHGGOPIx94StNaTk5OPPvro0NDQsWPHfvM3f9N3Hvpyk68RGWPcc3dGU0eKl38atrUUzOTOTDpq64g3buypzpxXPzEturDy8k/F/St0uTeDLOtGy8yQ3f6NoX0PBvlUJGxy6gDGTqBj4+t/ztbaOI6NMZ2dnTfeeOM999yzbdu2Uqm0bNmylwWjuYUR5KwhIYmEde6Kt7/zznt+ECGfVyk8+9RjVyxbV+hpoTB+Q65nEAT1ej2KorGxsU9+8pMdnR1C0plH+AqFQrVa/fSnP71582YAUsrPfOYzR48etdaGYbhq1ao1a9bcdNNNlUrlNYNlkiSHDx/ev3//Aw888Nhjj01NTfmVgM02UV9F9I/c3t7uVxq+4x3vuOKKK3zvKAc/xhhjjDGOfOznU57nSik/yeNrX/vayRodODa1sKW9q6ihrKZApVMIwkERdwDF6iMDO+871bHx8g39UDWoNmuCUKEKBIv6w1+80k2ejEIKyi2wRiEzKE+GLbK9pbTu5pEX91bSRkRJWCjXp2sC8L8kQLBwc2sRyFe9RApg9k8hXlpra5bgpFI0N3Kmo7Pzmmuvu+PO791z30MfX7bMCZEbVCQBL/nLuTGBb2c1Zl5H25pVK+4d3/i7N/W7f/t0YVuGm//5SES9SGJbgDFwQ1a1E51LCPR9sL7l8vDhw8eOH9Mmf+XdhoeHS6WSPy35wr4DzzzzjD/a9/BD24UQp04MfepTnxKSBEkC4GC0lUroXKtAZVkeBuHU1PTnPve5f/iHfygWi1rr3GRRFPmv3jwKqJRK/foMa8fGxh966OGHHnr4n/7pq6tWrfqN3/iND3/4Q41GqpQMApUkWRSFPL+TMcYYY+xNis/ysZfwox19S+HBgwdnZmaUFGR1f28PwgIgCUCgQMKfhcPgMZvqBQsXo1CEIwBSzMY2QYgKhUpbW9DWjrANURsoss5FQCwQCF1wSWjqpjElrQ6DQM5FPj8W5pXPjQA594ucg9Nzv6yAk3Np8Mz7d8/rOm/xoixtHDx4rFrT4asVrprH5ABEUdTT01OvTrd3drd1L8LIOPIqARo+UxJkiHOdZunLa0qp1tZWzDV5vpLPq34Eyysf5LHHHhO+I9U5ALVqXSpRnalJKfNMKymfeWbXJz7xiS9+8YsdHR0zMzP+K9ZqtSAIWltblVJCiDzP0zT15/eyLEvT1J/0q9VqTz311Be+8IWvf/0bcRzluTbGFQrhq6w3ZIwxxhhjHPnYm5RSKkkSpdS2bdt6enq6u9qDdPLCdauMiyxJAQeHWjWLARofHHrmSacqiy+9BkEZMoR1PpjBgHyMUjEoGDVBzUUGKiAX2czVR2j8UFQ72SGTWBopIMNAWaOcFc7A5T/afD4b4gSAAJBwBH+HDE7DZXAayODy2V8v4aJQXXv12xbM67jz2984NXCAtHnVyOfDlY9AF154YXVqpJHQ4nf/+qlpkx7Y3mZTB+X8yE5RcO7cOx6LxWKtVmt+OfNSfrhLnudJkvhM+MpHeOKJJ/IzZqvEcWFqarpQiIwxxuj/9b/+90033bRt27ZKpVKtVovFYpZlWus4jvM8n5mZaY5s8Uf+vCAI/LL4UqkURdHhw4f/5E/+5B//8ctBoHwY5n3vjDHGGGMc+djPCT/to1Ao3HXXXY1G45ZbbgnIlezM+lXLU4o1iJyGtapUKVoz+txD46eOty+6AG2LgCJkYHQuCYFDQfqCoCAZgQqBhLJGmmmVD6lkIJrYN73rB0UzHQhXcwXbtZI6esilQO4ragBAAiRAEhA+bZnZIClBEiQgCEJCEEiC/MeXhTFnjC7GhUs2bSgI+4Pv/XsyM/HKb/lla8cXLVoUyfzAoWH0XS4Xrhl++o7W6lEJRRKwuaOKj7TnwI/B9F2aQgg/keVMxpgsywAUCgXMLdZ75YOcGDwBwBgLBwe0trb4Rtz3ve/9f/d3f+eXUvjQqLX2o1/8DJgwDP3ETmOM1jpJkkajAcAHPwCNRsM/t8nJyc9+9rN79+7zV0ZK/g8FY4wxxtibFZ/lYy99QyiVZdnWrVuPHDmyYcOG3t7e0VODvRXV09c7rQAgNDmEgICYPDmy58HQ5W2rLs1dWQkiEkIZOAOAHBzICeFIGYvy0DPV4cNaj+rJYT10sjE1ZkaPtAVqysnqvNWVSz7sOlYQLBzNZjwSDjS3+nz2YwoIQAMEISDk3ARNO1dQdEA4ty/dAYAQkvIsW7Js+dq1a596asfOp3Zcc/2Nrxr55spZrqWlpW3j8F4AACAASURBVK2sBk9MT2d9hQveZu/7m8aBx8TFKwALyhNECk6c09DOMAzr9XqpVJqZmVm3bl1UCF/2MD6YtbW1YW5Pw6s+TnPHQ5blYRRYY2eq1c/8wWd2795NRBMTE0IIP66TiPI8LxaLQojVq1cvWbKkv7+/s7OTiBqNxsjIyKFDh/bs2XPy5CkplZSyUChorf2lyPP8/vvvX7NmTZ5bIej1zClljDHGGGMc+djPCq316dOnd+7caa3dvHmzMQYmm9deIaVqGhUFOO2cMNbp4YNm9HDY0W0XrppKZWtJ2TSPogA6hxAgEMhBWCA1UE/96/DuRzvdFOlEBlFbWDAyTVKTl+YtuuaXse6dVZtVYEESkIZEcxyL+NEJPRtBCDiCITTnbVrMHq0TsyVrf+IORCQd4EBWhErSZVe+fbLa2PXc3ldGPgD+eJsvdkVRVC6KYwMjOmxrPW91VNL1Y3vjtXWEEsLkgHDu3OKPj1Ja63K5/Md//MfXv+u6lz2OH4jqi4F+v8KrvkBdXV1GWxKzS/msdf/nz/7PHXfc4Z+/1rp5StCvfNiwYcNtt922atWqer1eLBYbjYZSyk9eJaIjR4584Qtf/Pa3vzMzMxNFkR/p6a/J888/r9Tsl+AfDcYYY4yxNynu13qrBzzMLe/2MSMIgiNHjkRRtHr16nK5LISoTk10dffAIlTQBpABAUVlp04elDBLN19pnYpLygIqCgBAEsiecRgPYYAC1Ut6qj3II1OLkdfGTkOneZ72r18fLl1mAQcBJ0Ayt2QAC2gHAM5YsjlciqyqzIgwI6RHkA1h5jgmjmDiCMYOYewQaoPQp6FPwzaQzsAkcJqAPNeBIksQYXzxZVfUc2zZsgWA75/0374PTkEQNKtqYTGsT6YayFtao4728WOHC4FDYwrCAXDnmn+cc75XU2tdLBZfeUDO/6kf3xKGod/C9zJSykajIaUgIhVIo81tt9327W9/2+9d8BkvjuMkSfxyxQ996EN33XXXqlWrABSLRQBxHDfndgJYsmTJH/zBH2zevDnLMmttsVicnp72G//8Xocs00JwiY8xxhhj7M2Kq3xvaX5YpT9I5m9J0/TAgQNtbW3XXnut3xOgs4SK/U7GEggEAOlgyExnJ14stnahdwXCFgBu9pegM0pXNLdQIVNtjULXmKvmQoSqJS/EobKdZT30xFYxKUpv+7V40WpLAUE4AQsYAwWnhBVIoGswST42rAe251OTM6PDjeqMzhIBq/McJKRUUVwsFEtSSbP07fMWLZGt3UYUZFBUCOGUtk6Fqru3t2/x0gMHDixevHjlypXNleWvFBQL04O1yMLFZVxwmX1ghxvcRz3dcFIBUv40f2qcc3me+3yepdlzz+357ne/e+rUqfb2dj+vBUCSJIVCYe3atR/72Mfe+95bX/Mxu7u7//RP//TUqVMHDx6cmJhYsGBBmqZz/a7+i4KXNDDGGGOMceRjbz5+ZEgz+QghXnjhhaGhoY985CPt7e2+sdBkiW7py4SMHCKCtUpAIxuZGjq8Yt3F6FouZFnNnfSygCBBs12Z5AMiAKx+V0/rsthMT42NTkxMzYyfrk0d6VfTbVSbPvTw8PT0eR/476J7jbEQAtYglk64DLaBZAzH900PHhzYu2ve6ScFuYKgIlwgnJoLIQbOzpBvgjx69PiAjJesuWT+xrehc4EM2mBsZqSKIlK0avUFPzjw3I4dO5YuXZplWalUevWfilLRTJ9q1UjCAtZdh4f2Tj+ztfWmW4Bi6OAczR0e/CnwSxdAEELExcI3vvFvhw8fLpVKWZbFceycS9N0wYIFra2t937/nkY98TXD13pMOv/8ZRdffPGhQ4fmzZs3Njbmt/ZprYkQhvxfCcYYY4wxjnzsTcsXc7TWSiljzPPPP9/S0rJ48WK/qE0p5ZzNVDkFYmclIYUIJImjB4TO4iUXgMoOdObbyEICVpwxRAUAFq0v9y4FZR1Z3jE+mU4ODTz0TVd9QdcnWotBfXhPduz5wryV5BxZaRpVESu4Bkw12f/E4Ue/Xzt9tD1CewghSMKRMyZLTZ74Sp0i6YQISAC0KJ4er40ee2pievz0+ZuuwIpNMLmSZX8gcHHf/CiKhoaGZmZm4jhufuMvuyZaqAIIBg4S8aK4pTsfPoS0ilKPcjY/x+ktbwzfkppnWkpJkh5//HG/XyFNUymlPw1YrVb/8A//EA5xsWC0OYv3AKx19Xq90Wj4UaL+4kgps0yHofIf+YeFMcYYY4wjH3tTRr7mx6GhoSNHjlxyySUA/NkwAEqpCVdKgZJtwJGRRWHs9J7HW4ohFqzIgnbtXNGRI9i5sSoEYf02dlhYBzgtWmRYNDp3pciWSPYkS1Uweu9fl+Oq00mYjE4PvljYkAhnoYJS6JBMVI/vmzny3Ohz29qzob44ifKphFpcbmBzAikqqEIM54yDg3MQjgSAlql95aAyLbPRgaf3V0d7a9XWC98eiBBGmNx2tJRWr169a9eugwcPbt682TlnjHll5KtrUwlDZPU8ciOiu613mX3ubnv0Baw5X+gEsvBTHF/ptwgKIYw1W7bcNzAw4Fc7FAqFLMt8wfayyy573/veZ4yVSriz2KnnnJOSrrzyytWrV09OTnZ0dNTrdSHEokWLrDWA4q5OxhhjjDGOfOxNHPn8nA8Ax44dU0otXLgQc0sCnHOBUlUT5IBwGQxBFi3s5Mkj5WIBqqylctb6Zkd/3ssf6qMfjQayAHJDQoUZlCaRAEFYal92Uft5ayf2DJdM0tXVcWDoRHfeQBDAZqhOTA4PPHXvd+JsYr6dLOlJlYxFVD8d9QoBpRzB5s4K50g6a2DhLIhIElHFHEaWqFKQGTk1dvz4nidbl69FgVBQYRQA4qqrrjp+/PihQ4cuvfRSrXUYhq+8Jok27SSQVS3iYch5LZ06mZwYPNyyygpk1oaQ8qf4ktXrdalEnuSf//znnXNxHGdZ1mg0fHtnd3f3X/zFX8TF2BprjVPBa/+ME5HW9qMf/XCaZlEUNhqpUioIpDFOSuLxLYwxxhhjHPnYm1gYhs1xnYODg1EULVq0CIDfFuCci8NidOLpblytg/YMKELT2KOuPjS1/EOh6C9bCKchA79Gz80lPauNEWRhKU9EGMYmszbMIZxBi0TBWNgk7OhP4t6IrJk8Nb8wiHwa8bI8mQ4GHwy3/O3GJJ9BKUJWMnXpci1b+tK9pOIMxZoNGhRrWSQhlchtUo0pUyaJA3kovoqcK5ham5nqwNTEqaS2d0Nw+UcyGQmHoqm1tbUtXbr0wIEDk5OTfgOeL5o1W1uFEIXT2fTyvkZXd4Xy1S41S5YeCVoXH9kbJBP18rLIpue8jf31IyI/b/P4sWP79++3zjbSulKKJIzTJPHZ//0/O+d15Drzada3er7WY8IvY4iiEEAcz04KlZIAPsvHGGOMMcaRj71p+bSDuTmQQ0NDq1atiqKoOcZTCFEsFkfGxwEYY8hXt6o1rXWxEEdhc47J7A51AAQHl4Fy1MYHnn6E0unFV18xnS4OSkEQkJ3NhBpJvVqrGRnVXaAK7amIEUZwqR0f3PeDu3oadWNFFLpAZ8bkQsUNWdZB51SiM1uOWrsKHX2qUG5tbYNOk5mJdOp0Y3psLG205WOOKLRJ0dYBrUxx6vSJbpMKFTU3u1900UV79+49fPjwxo0bnXO+mKmU8gVPY0yaNhbPm9esbMVx0W8saDV2NiH9dH9olQJw8OAhrTXgrLXOuTAM0zTt7e299dZbfYJ1zvmZq/w+Z4wxxhjjyMfeooioeZZvZmamWq2ed955/rSYz3sA4jieGhvTZva8HwEuSZxzYaHgAEuQxoIs/HIGZ+E08mlUx0b3PHp0+/e7i8C8esuFnwSonkM4F8ocega1iZmxEZ2lVgRUCESxHY5g09rx/Y3xUzJGEAQES1kDRtu4kqj2CdluC0Fb39LexStw3kpEZYQhbB7Xpt2JgaGDzw0fO9aXPGtJSJsr1wAQIJ+pTkqbS5/UrAHQ2dkZRdHx48cvvPBCv4DO7y73A0u01vV6vaOjw0clQUJGBSllmqbIM/sz8Ko55+AwNDQkhLDOwcGfSLTW9vb2NtfKv2z9BmOMMcYY48jH3oqRb3YWiDEvvPBCoVBYvHjxmVGQiDq6Omf2DRw7dmLx4gUWMEYn9UYgZFwswo/kdNYHkdlzfC5FffzQw/eMPPfQmnIqp47re58dnuqat2RZsbsXsJgeRzI19cQPa8d2RTYJhK1lVJrXD2sxeuTUzh/Mj43OcysFXF6gTEVxFcVT6DS9l5y/7sLKirUIig6hhSISAgYVR/NWz1+wYXLP7vCxxzSFACwIcFKqNKmRBAGS/JOEMWbBggUDAwNJkvhFdp6/FBMTE/V6bfHiRf4WKSJEcaFQ1NMNV2/4gPxTj3xam5GRESmlM05K+IwnpVy5cqXvTfWFviAIzmZ8C2OMMcYY48jHfm75ESZa6927d8+fP79QKPiSV7Pnc153d5Jle/bsWbqkD4AUMmk0lFJRFOU+/fi1fiQAgtMAoVRctmxpeHp3cmJXazauYld/7KvDu4sqjANJIq8jnTEz45WkGoShFQWE5dZlKyHd8DMPheMH2mWqLeXOKp1G0maIxl25cN6mlb/83wAJUQBJSyI1cA6BREBwVBb93eG0qj/ZkomCgVTIyNm6LDeMgJC58SNXyOfY+fPnP//8881VDb4U5rtbDxw4IBX5yDebl4SM42KjNpmnDaK5iPvTE0URgOnp6TzPQVCByvPcORcEQWdnpy/PWmtxRuMuY4wxxhjjyMfeoowx/gDb6OjoggUL/C1+PYMPPEExds6dHh11s2fhyGgtQEIK+MhHZ2zgI0UUAhGWXRDuf2L40LPzuxdOnDrSVTmRj8ERBVHB6SSpTreWC3kkc1BKUbmjHx29SKonD+zqNlO6MUFBHCmyWhvrJg1Vo+LiZetdKqlQcBSkGlYAEs7BEnIACEIBLeNxNT+RRU0ycFngsoYs1yhyJLVxTvreUyil/GiTer3uS2HNq5Gm6cjISBAELS0tZ1wkUkpJKa2Zq2f+9Jol/bE9IkrTNM9zFahmZG0ev8QZU16aryZjjDHGGOPIx96KfDA4cOBAW1ubzzk+DjWrQ739fVLJnTt35r/6QQSR0RmBGo2GLBQckBuERCDhQBpwgBQRiVYZBPOv+WBY6Tiy70nbVu7Tx4UQlpTRGUgE5bYpJxoizsLW9pWb2y+5Fi29x7feFSejcT5VDFVda6fzOBB1LXX7ko6Fm9pWX4xiDAgCwgAWsLNtpRAEIZEmaV9/v7zlv2pRsUJKm0hXN9Yu7lhqrApCygEppDVGStne3h4EwfDw8JIlS/zBRQDW2jAMt2/f3tfXKyUcIEg4ACRLxUqDpM4yAZxzY6dfbW+MCcMwSZJzO2TnnEvTtNJS9rlOCGoOXFVK+VfNl/j8N8V5jzHGGGOMIx97S/NNgBMTE1mWvbS0NWvhokVSqWq1Ojh4cunyJTIHOaeEmB1cSb70Jwxm97BbkFQFq8Og/fz2dy4orrh8YPfTtSNbEm3r2uZWgpQTotTeXZy/dN7CFeVVl6PUm08OTh99PqqPFITNjZMqlDpRFE6hlLSvWPnOD6LQ4hMPyAo3m0edA81uAXRRFESBwtobIFs1QbkUtgqTQJZSWciBCCAhJSSAlpYWrXWappg7uOiHdh48eHBgYOA9112nFAgg/3UcOUfW2tms9/oGovhC3Dn3WxJRkiRwiKKoUCjkOotU5F9HrbUx5sxmTp9meYILY4wxxhhHPvYW5ctBAMbHx/M8L5fLr7xPoVBYtWrVgf0vnDx5ctF5S5QKyIKIYN1s5AP5dXwOkIADrINQwtgyXCFY1Lpy8SaMXmxTnTYybUlEoSAZlVtESzdUKRGlGkRYHzWjhwumKsOwkdvAuUKA6epUvXVJ1/pr0b4Ezszud3BoVvgIACwc4AiCIOBMoQakQAFRaXY7vDQORHCANU5IGGPK5TIRVavV5hUQQqRpev/990dRtGTJ4jN2TwAQ1jprACIHgOzrHODyekaqNPNbqVRyzlk7O2WHiPI8Hx4e9o9vjAHgN0/w+5wxxhhjjCMfe+tGPl8Rmp6eBnDm+MomKeVNN79n185n9u/bf9XVVyB3JIiIYIwFFM3GHzG3hB2zgzsBIRxCbUNrEbetESqIZQAIQMNaOA0DayVJoQBRHa3Y6aKyhlQuhbR1yDzP86w4v/OCqxppEIe5ISFmV0H86IsAEo6MNYBfuJBIinxYszIQkBBCEmlAA5Ef4UJUKBSKxWKtVvNhyQckrfX27dvzPF+ydImgH2VKgHyyEkq9nvzUHBLTjGTnRkoJwvz58621QlCe5361oHPuwIED/gU9s9DHvZ2MMcYYY29lPM3vLU1K6Rs7kyTxnY2vllSwbNmyvr6+48ePZdlsdCE3u+OOfnQvECw5TU4LaAkL6wggAaGgZcnIkkaUI9Ba6tzAOignpA1MEgNRUo2FUTCZcVARrEHSKJVKWhVN3GFUDKsNoAEDOPJfUDhHgIAgJ5QlsgS4NASC2Qhq5uqB1gLN3OO/5TiOsyzzMczfcvz48SzL2traurvnEWCcbZbI/Lrz2cz2+mp81lrffnlu5bfm/oze3l7/8jUjHxGdOnVqYmLC72k4M2cyxhhjjDGOfOytqJkfGo0G5qb/v5yph6XCVe9+78kTg0PHDoEsFSopKaO1yR2A2Q7P2ShEAOAc5gZkCgcJCBU6kD91J1WooiJkAQgBIQiBM5TUlVSpLNYRSinJGW0lonJEuTUTBZGnoihsjWwdNnUuczCAdbCAcS4XlEokZBuAlC6PnAmddY5yKqQILCjwFW33o6bKcrmstQbgT/RprZ977jkiuuaaa1SlIjEloeFImBQiHUmstAhkVgOsPqsQpY2ZvRjwJw5nzx1a54QUo2Nj1hpf6/PNpWfZgdksD65YsSJNU0HCGptn2lkQxNTk1F13fq9RT4w21lhnnaDX/hn3FcLm5z7fNp9Ynuf8k8IYY4wxxpGPvVn56pCf83HmuoIfyRsgbLr8ylDRD+65A86h0OrCYlKfLgckASI5O8iFBEiCFEQAkiASgCIoQAAK8LnLL0qAKEAUIYoQBUCAKIPMZREiCG1OJLQqZU5VXC204zKtZ0GLck45JwkCgkg4EiQkSBJIEAk4AQtZBhBBK1giaUScUWRAaq70N/u+F8IPJvVB10/R9JsJr7nmGiOUxExEubQycAZ2ejJJFQIVqzoAe1Z9kkIIv6owjKIwiqxz1jkQwijM8vyxxx+TSvoSnDFGa32Wkc9X9gAsWLBg/fr11rowiJRUYRDqXBtt//RP/vTkiZN5rpVSRJQ00rMM/wCSJGmu9dNa+7AXBIHPxowxxhhjjCMfe/Np5j38B4UmR4EEFrSjr2fe7uf2Hjl+QkWxgMvqkwqo1VK8EVvqrAi0dcLq0GVkEwiZQ5FUQiewCSF3AGQRsuQoMqRyUA7kvtWTlKUQIoYozW6EB/l+TgkEgAQkQLBnblH333VzZfno6OjRo0c3b97c09PjZk8m5gIAFWzSCE0dUiBuD3y4PbsLa4wDUCqVfJb2UcrPidmzZ08zcgdB4OPZWUY+55zOTaEQvec978nz3FrrPwZBQERjY2Of/exnhX9BLcIoPJvY7z8pFArNi+O7fH3q4+5QxhhjjDGOfOxNqVniC4LAF3ZeJbqolgAoO3vppnWZk1/5t+8GlXm51mZ6GGY6DoSjN+BdJOJK6gIyacnOSF3XIsrCltwJ15hAYwRKA2hAJEAGaKAZ3SzgR7OkQApkIEtqdoCo08o5NZv6HJyGM76JkYiyLJNSGmP8ib6vfe1rQRBcf/31QghHBERwiXOmJoSdma7koxQVdDw/BKTTZ31tkWW6q6sryzJfmnPOZVkWhuHx48f37t2HMxo1z76xM89zpSQJev/739/X1yeEiKIoz/NKpaK1LpVKDz300He+c0eaZkSo1+uvffGF8P2cPjpaawcGBv7qr/6q2XHKkY8xxhhjjCMfe7NGPv9JGIbOuVeNfFoVCoByjcsvu5jC4iM7nz88POFEIGaGUT0VBfSG9PyJlm4dVpzOYlsNbKpFaIKWxJBKp/DCU0BVAgKQgAJCIIILnQ6dDmGjuZZRNRcIHQjOwBlCrmAVQM7MjREVxhi/0FzODfA8cuTIY489tmHDhu7u7rl4U4DNLNI6IZ8aL+ejpe75uWoJASnOatimMUYIstYuX748SRIpZZZlQRAIIZRSU1NTd955p1/Q9xNN7/T790Bw1i0+b9HVV189PT0dRZEvHvrpo0T0Z3/2ZwdeOABC6dWmsL5q8vdPTAixc+fOT33qU3/+53/++OOPB0HgLxf/sDDGGGOMceRjb9bIJ4QIgsAXoF55nwaArAZTa+1of9dNvxCXWx595KlCe4+eGIFIYFL7hsSBSqeO2jMnYHPpTO5kw0pjURL51M4HMToQ6EYIp5yVLiObwtZhG7ANmAZsg1wmnZHO/KgA6DRsBpvB5nAGJIEAIsTctJI0Tf1WhyAI7r///mKxeOWVVwKYy70RDIDcAOn4cGAbrUvOT4Ki1Q7urBKaz5NhGKxdu1Yp5Vslfd2s0Wgopb761a9++9vf9sXGs79Oftao/y7SJP3oxz7a3d09OTnpq4hElKap71P9pV/6pT/8zB+dPHnybB7Tf/LCCy/8/u///ic+8YmnnnrKOXf77bf7q/R6VkowxhhjjDGOfOyn9/LP7XBTSkVRlCTJK++TWpA0cBlIbL7iyptvvvnRHbtsqWtyegbJNPKGeN1Nf0RE5U5q71eV7twQgsAJpa0Nw5B0ko2fGNt2dzB9GtYQ7OycGH9Az0/iNLDGWUcOwpcBySbIZtAYRzrlZsZgdZbbzIncBQCUUkmSaK39N3769OlHH3101apVa9euNcYopZxFmhAQgVxooUdOZk7QuosSQSVFZ3l00cfpLMuvuuqqPM/9zsMsy/znxpjx8fHf/u3f/tznPtfsn/TJyrdu+s+dc37MTJqmlUoly7LZgpsDEUWF6JJLLv74xz/e09PjVzUAaJ4bbDQaf/3Xf/2rv/rhZ5991r+yjUbDB1r/IM2irnNueHj49ttvv/XWW//pn/5pZGSEiJRSW7ZseeCBB3ww5h8WxhhjjDGOfOzNx/9Tnoja2tp8geiV91ECc5Uz1dkWXbRxPUjc//jumQzIEpjsjakAUbho5aa6LOugrJ2Cc6ES1uSSIExaGzmWDr+YZRkgQIGxIrehkUUtClpGOoiNijInGhpCW1ufga0hGR9+9vFjT2+nWAJWKSkErIDW2h/kc851dnY2Go2vf/3rAG655RYflrTWSlghJEQsBRWzJJ+aLHUvRlj2QRNnO2dFaG0LhfD/Z+/Og+Q878PO/573fbt7eg4MgAFAAiRBErxE8bQhmaQOmocoO5IsWY4SObKd08lu7GS34mzK2toqO66UXJWKj8RZe2NFe/hQbFmSI8WRaIm0KIm3JPMmeIkEQRIgcREDzNnH+z77x0uMQYo2GTmxTerzKZI1aDQwPW/3sPo7z7Vhw/r3vve9+/fv73Q6k5OT/X6/nYHZ7XbH4/G/+3f/7r3vfe+//tf/+utf//ri4uL8/Py+ffvapZXz8/N1Xa/duR1w+9ZP9BM/8RMXXnjh1NTU8vJyuySvLMulpaX2C7z//vvf8573/MIv/MK+ffv6/X5VVUtLS20Btmf6Pffcc7/3e7/3wQ9+8Kd/+qePHTvW7XYXFhaqqlpeXu50Oh/+8Ieffvpp3ykAAK9dlUtARJxxxhmPPvrosWPHXqbFmhy5jlQNm25EXHzWlndcd92XP/3/bOit7934pQs/dGnnv8fPDXKu1n3X2449ff/8yrOT46NF1N1mEONBKsqiHq3u333gzj/YsOHMYnp97k5Wnd6oiXETkaJIkXKkHFXKZRWd+kikY6u7vvHMXbc8f/hgMbl++47TYvPZRdEd53Ic0SmKiFhaWlpeXm6a5hOf+MTNN9/8zne+84ILLmg3Vsk5F3mciiKnqZyWJg7fv/jc3q1XXhvd2SpivBplt3x1X1HOOTdNLor0sz/7M4cOHbrzzjvbAw/aMdWlpcWpqanxeHz77bffc889v/Zrv5ZzLsvynHPO+eQnPzk9PT07O9surhuNRkVRDIfDXq/3kvWWo9F4amryYx/72E/+5E/eeOONEbG8vFxV1cTERPunJiYmBoPBr/7qr37sYx/btGnTeeedt3Hjxm63W9f14uLi/v379+zZc+jQoZxzu0Xn2gTUsiyrqlpcXLz33nu3bNniewQAQPLxWlUUxZYtW5qmednk60aOiCgmRp1+EdHJo+ve+Y477rjjweeeWH/S/GmPPzL7hk1//nMamrIsqw2nXvauR5/elVZy1QxjcLQsY1xHURSbunHsqa/d+8lfuviKq9Zd9OaopybzZHSmBnV0i5yijrwaeRhRx767F++/4+DDXy8XD2zrdFabI8/d+gcnX/ehmOlH0yu73SIVCwsLS0tLRVHs2bPn+uuvX79+/Tvf+c7RaLR2LGFRr0Z0FsuyipjYc2tntBrnvX2lmpyISE1E6ry65ItOp6zrnFI644zTf/mXf/kDH/jA3r17p6amFhYWJicn2/ybnJxMKc3PzzdN0+v12rHW2dnZdqJmG2DLy8vdbrfdX/Qln6VTVRExPTP1i7/4iz/8wz98zz33zM7OtnuQtluwFkXR7/ebphkMBs8888xTTz21uro6Nzc3Ho/H43E7p7Qd9mxXCa6srHQ6ndnZ2f3798/Ozt5+++0zMzNrZxgCAPDae7fvEpBSmpycnJycXFpaermfCuQYjyN1Xhhdagab5ja87Z3v3fP8ysHn5w889+yJh91923LE0moTp5zTP/msuposoinq1U5q6ihyKqe61Ux9dOvSo/tv/k/zX/iNeOyWGO6N5/YEZAAAIABJREFU5b298YE0PhCj52JlTzx7dzxx+8GvfOa5+746sfDUydXS7OhQf2X/kT278pF9EcNuGrU/4WiaZnFxsWmaXbt2jcfjK6+8cvv27RGRc15ZWUkpRYwjxyBidXVx8OQ9m9ZNx+xpg6LXzblbRn513zVrK/Qiomni7LN3/NiP/djy8nJ7kdtxtoiYn58/duxYv9/fsGFDSqndTiaOz7mdmZlpW7RdUPcyiy1TLC0tR45162Z+4zd+44ILLlheXm4Pdl9dXW2nki4vL68tAqyqav369YuLi+0t7XhgzrnX67UPoCzLsizbuZ0/8zM/Mz093e121/Z3AQDgNcco33e6djbjzMzMySeffOTIkZcLwhwpRZ1GRVR1RDMY5841737P/kfv2vWNz+9d/P3/5U3X9abX/zkfxriJztR05OLk7377wYMPlcODnaLJ9TjKbpPz6sL8TDWaPvbHTWfd4n1P7Xnoq82GM4u509PkdNkMyuFSMb9vPP9sPVxpRoMNeWlqfKgzWOwWRZTrV1f6z917x9atb4huN9XjOtLMzMyBAwc6nc7hw4c/9KEPvfvd747jhzdUVZVzTjGOJhYjxvNHqgdv3X7xu3K1voluMR5H0Rk18WrmshZFUde5KFJd12VZjsf5H/2jf7h+/fpf//Vff+aZZw4ePNjtdnJu2vMVmqZZWlrqdDpt1LUzPMfj8fvf//5bbrmlqqrBYNDr9dbGIU9s5cnJyfY891NO3fbR//jRj/76R2+66aZnn322He5bWlpqz3lPKbU7xLR3bituNBq1E02Hw2G7kK+txDe/+c0/9VM/tXPnznZxoEMaAABeu4zyfUdrmqbdF6TT6Zx33nmHDx8+fPhwe1TDYDBo3+53o4nuxuhMbozolTHuzDXF9Fwx/NEf/bGl/taH9zx3w61fffRI1LkeLR9rcixELEdEHsdoXwz3jvLo4KspzyIOFPF8nuyc8/Zt1/7tZ7unHY1+Hc1ULE/GclWMBtEZ9E8flOt6zWDT8MDmZ2/dcPdvbLzjP6z72v83ee+nO3vu6B99ZnrlcNl0c1Pl6JRFWRbRS6ubpupndz8YS4tRTiyWVVGWRVHMP3/w6KHnLr34gvf/0Ad6U1O5LMsydYqVThxKo73NePRcLzoR6x68ZX1/Ml142bGYWIliXOUo5uuy96q+tYpUlqkoUqdTFUWqqqLb7fz9v/93P/Wp37vyyrdNTHRzfmFSZTug1zbY9PT02rTMsix/4H3vueS7Ll5eXaq65ZGjz09M9lYGy/2piZxyTjlHjiJSGalMqUyR4rw3nPuLv/wLX7zxC3/zh//GymC5O9EpqjQcDtsVgO0xgO1sz3Zf0Ihol/D1+/32PPe3vvWtv/RLv/Txj3/8sssuq6qqHWD8bzpGAgCAv1KM8n1nF39RtKN8TdPs2LGj1+s9/PDDl1122Ykp8nJ/KnKT122a+5/+8U/8zm//5uc/+en+5IYzr7ii7E+PmqZTFlVERIpiJiKVUUy/ikfSjVgf0a0ixmVsP/+Mt7z7qTv/cFQvDEbHunk1pbpoxgupSlGm3KTIVVGWExOjumki5ShyFE1KEak/PlrEMDoTy0WvbpqFcvrwYPrc694dMxvHo3EUndWmvvuuu/Y/t3/79u3ve/8P5dwUUeSIHEVKnUjdiLqoJtaNBt28+uCTj50894bZbef2IyKijDLSxLddP2VZ5pxPPvnk3/3d3927d+9XvvKVXbt2Pfzww/v27VteXl5YWGiX85100kl1Xbe7tvR6vX/7b//tpz71qccee2w8Hi8tLXW73bYJ4/is0Zc8TaPRaP369f/m3/ybH//xH7/77rtvvfXWO+64Y35+fmVlpd2RpT2uvdfr5eM2bNhw4YUXXnzxxddcc83FF188MTGh8QAAXjeSKVvf4dohvnabkN/8zd9cWVn50R/90ampqXY6YkREHkWkSFVz/KyGXNedIkcziKjv/OL1n/3kx1dHzQf+4T+/+K1Xd8voNOOUIlI1jMgR3VynvBrF1Cs8jmYcKSJy1MNIo1g5Mn/vLYd3P3D40a9v7SzN9VNeOrxUzBYpipyjGUc0VVnUdZ2jiEh1FE0qImKuXlhpYqWcXOnOLKWJ4bpTLv2+H47tF0axLpdTg1x+8lOfuf3Wm8/Yuvnv/e0Pbd6yORedKKp2U5QqN5EHEc24Kavx080f/9HX7rzju97x13vnXxblVKRukzpNRBGRcm4H4tpTE2688cYvfelLH/nIR9bG6142mNu+Sim127G027e0yd0OtS0uLrbPRb/fb4fm2tP8ImJ1dbUsy06n087wjHjhtIlvbbNjx46tW7cu5zwajda2Xdm9e/edd9755JNPPvbYY/v3708pbdiwYdOmTZdeeunb3va27du3t7t0tk/6yx4FAQDAa5RRvu9o7bBS+0Y/57xp06YHH3xwcXFxamqqvSVevBdn+3EqykhN5Ihx/V073/Twbdc//vCDN3zuszuvvHp1ZdQph9Gp6qiWI1JEJ9epXnzl5ItRjFajqKLsRerHZH/9Ze+e3Lx9YXllfv+uYrDUj253ON8pUlWmyHU0dRzfvbKJ1KQyIjWpKFN0+zPPLRdHO+unTz1vxxXfH5t2RGfj/NHV2fXlA3fd/dn/ev2O00+d3bBh85ZNUaTxYLXTn84ROaJORZl6kZtxGlZLu4/d94Xp/ubeuW/JqZ+apYhBXW0YRprMw4jOt3G120rMOU9NTUVEe9nbqGsv9dTU1Ikr7tqdVzqdTrvJStvn7TkNVVW1kfatn2XdunXtn+p2u+1uNBMTE2eeeeaZZ575rXceDodlWY5Go7Ye22mff8YALwAAko/XWPK1e4eUZTkcDnfs2HH//ffv2bNny5YtL3rTn1407FNErsfjIopUlN2Nmy+/9I2zS0995Ym7P/yT//O7fuC9V135lqozMYwYRpQROXLk4Ss/lFxH1JE6TVSruchFr4pO56zLLp6dm3/45tWndh3e++j29MR4OGzqpiqLlHI9HhVFkSMVKaWcm1SUuT5Qbloc9/vnXDJ36dUzJ5/VrDtl0F3X5LJO9Ve/euvvfvy3ptbNrtswd8pp26Mo8nDQmXhhGC1H1BE5iiIVndX9i1/4RP38U6de9r2jibnIo85o2O5ZOo5IzWouvp3ka8uqXUe3NkLYLpiMiHZPzrb32umX4/G43++feIcTt10py/Jlw2w8HreTNkejUb/fr+t6PB63d26DsyiKtjDbTWKKomiHDds1nO3A4NrDAwBA8vEa1h711gZAt9vdunVrWZZ79uzZuXNneyhcWZaRX+iKdHyUb1zXnaqqh3XZ6Y0XF8658KLR3gfyzPDep5/6zV/5yKGDP/7+H/t7be9NRBQpRTH5KuqziKofqbs6iujGqIkoipQnupvO3HjFhth5VRzau3jzfzpy+NDy4kKnTKkdi+t0ckRORR1lpNREmjvv7Wdd/rbYeGo0kzGxrikmR1EePnT01/79rzxwzz07zjh9y/YdTVOffc4545WVaqLXDIdFr1zbx6j9Gleevv/Jx3evm5jbftHloxxl5CgmopgYte3brEYx821f8HbaZ7v3ZjvVs52cuTbts/1lXddt4LVd1/63fbK63e5LDmR/0bd09cI3dVuP7d+2dkZfu5Bv7T5r92wfUtM07WfUewAAko/Xg7Vz2Npfzs7OnnnmmXv37l1ZWZmenm6n+VVV8XJR0ZSdbkRTTc/EaedMzGw8ZXzkoove9tHfu/6zn/2D3mmXXLrzuzfPRDnOUaSI/ovirmnWOudPdPoRKUd0utFE9ItIEWWKKLoRs9GfilM3T//gSdOLC83B/fPzzz9/8ODy4kJERFF1J3rrZjeccvqO2LIlOhuj6kQ1EVFFUaVcLxyZ/y+//58fefDBqamp973vh75y9339ie6mublqcroZrRbdidXVYTUxMVwdT01Uo9XlXq9z5KE75vP0+Zd/X8xs6cQgxsMoJ3Ix1URMRER8m8tf28w78Qs/cQrlSz5o79ym19pvrR3S8JJm+zOe3Pbjdq/OtY+/9Z4vuT8AAJKP16e3v/3tv/M7v3PHHXdcc801J8zuS+2/ee0XUUS0W5kUUa3fcdUPDD732+X8k//qwz/50Rse/b//40dPv+GMH3nP1VfsvGBYV013sjMer5XGyy4VG0aqI1JEGdGJnHKToolIOZW5nH5h55jJ9Wkylyfl9bnZ0DQp11FVOVJORTR5HJGKcpCrMppmPJzoFnk8eOC+b3zm05/Z88yz73vPX7vm2ut2PfzNerByyc5LZqano26KqtfUuTcxMRqNZ3op6sXe+Oihx59YfvqRUy97T3rjO6K7KcZHI3XHxUx7Sn03N5F0EQAAko/Xpi1btpx00kl333336aefftZZZ7XnBKz97otCbW2BX2dDcdrFmy9608Nf/P3VpvNP/8E/mfvi3V/4oy//h1/54zsvPP8f/4v/Y3EYG6u0tkQtjm9DcuJfliOaiDKijChyHXkckSNVOdIool1EN1lWkaPJdeSIyCmKqCNHTkVKZbct0kGK4aCY6kwsLB793d/6f2/98h9Fjv/tX/zvF33Xmw8eXnh6z54zTz358p2X9jplRJEjjXOOJjpVEYOj0RyNvQ89+pUvbJmYOeOKd43XnRp5WIxXIlUrEXVEP6KIURR9rxMAAF4ryn/5L/+lq8CJiqLYvXv3rl27Lrnkkn6/f8KIXD4x/fLxm8apyONyZm796Pn9zx98tpeGl1939fe+6dLlcXnbvY/cfNudeTyenZpot6NsT5z71q1HiogyolpbMZiKSGWOog3L9nc7zaCKcRFNkeqiaIoiitQUuY5mnFKTchP1qBnXex9/+A8/91///f/5q88eOPimy9/6T3/qp08/c8fqoL7r619/5qk97/r+a0/asikiRypHTeSybOqmU9SRFwZP3//g5z9eLe0/69ofqU45v2mKlMqUuoPUG6eiEzHRDFM0dZpIkdqtVtqv4oknnti9e/e11167dlyeTS8BAJB8/BW1YcOGb37zm4PBIOd8xhlnvDhdTpjaefyYvjpiGFW37Gw8bWv93JOrTz+wsRv9HedefPk7ztl5zb1//LXbv/iZz13/hdXV1a1bt87OzqaUVlZW1palvRCReVjkYYomRVGnF/5p2lVtEWU0VR6Pim6TqkhVSp1IZUpVFJ1RlFH2ctEd5OrQ/OJtn/7YZz/1u/ff/8D5l+z8mz/6d9/x7h+YWjeTU7Xrvl2333LzG8/a8aa37BytrJSdTo6iTkWkKMpUjIdp/uknv/yZqaVn3nDxOdXOH4uUitFKVN2F1B0URSdiKiLVC5GqlaLbiZB8AAC8JtiXjxdpN/S/6qqrFhcX9+3b97Inv7Xhtzbk1+QoyljO3Vg3d8bbrixHi0/efdvqQ/cOm9h82uw/+1//8VvefOm6detuuOGGn//5n7/pppuaplk7YfyEv7KJPGrnc7bnJYwjmhc+S/tbo0HEMGIQMYhYjXI1qsWmGpXdcVHuP7b8O5/+r//qF37lhs9+4tj+Z37wPX/twx/+8CUXX5iLGEQsj+KPbvpSRJxz9o7IzXB1OSIPR3VK0Z7IlyMfeHL3U088evobz41zzmg6M1GPIkY5Nys5XjhiIg8ixpGKxqsEAIDXjtRu0A8nJt9oNHrooYduvPHGyy+//LLLLmv3h2yPlXuZfR3rQS57ByIiYi6i/sZvH7nx/+rFaOq6H+m+8YcO9k47WES5/9B9t9z8yG237X/yianNGzedfdaWSy465awdJ23adOr0uvXRjJvUlN0iFZFzk3OKVLQTPFO8MFp2PDPbV2xd18vLy4899tg3v/nNp59+eteuXU3TzM3NXf09F++87LJtp54WOXJKTapSKr56651fufmW8994wTvfed1ML5c5rRTd5bKIiOnxqDd8anjHx5+77frJN1y16bqfqGdPe8XtWdpxvLXtbW688cYvfelLH/nIR9qRvfacg9f9KN/aIGdd1851+Iu/+HF8qLnVrpVtD10cj8cppVezrSsA8J3AewJepH3L2O12L7root27d19//fVbt27dsWPHeDzudDrLy8svM0BX9iJifRPjJooyqku/b0s92vXlz0ze9MUdG07fvLVfV5tOnlo6793XrP7199/71PzHP/HpG+6+c/KO2zd1ht1OZ8up51x02bUXXXrJqds2l51upJQiFSmacbTJFxE5R9M0vW7x/PPPP/XUU88888xdd931yCOPFEVx9OjRzZs3X3311dddd93WrVvzeJCqzsowl90yR4zqWFlY/Nodt11wxkkf+P63RrUSzUKU60blxErEutGoVz8ZX//sU3d8eWbbBZu+9wOxbutqE1Pi5dX8uCildhDY0Q5/icm3dsBGe+hi+3Gn0/GzPABA8vGnJl97HndRFGedddYDDzzwwAMP7NixI6U0Ho9fpvciRk2kZtwrxr2UBqOy7Gyq3njthZPrHv38xx755EfP+7ubT940EZ253Okv1nHSqev/+T/7B3nhb93+n3/vzj/83PzB5/eu7H1k9yd+87d+a25udsOGDdu2bTt585b169evX78+Iuq6XlpaWlxcPHr06H333r2ysrK0tDQajdpHeNppp33wgx+85JJLtm3bVtf1YDCIiKoqim4s11GUMRzVX/rqrRFx1ZVvjzyKVMawibKKHFMp1g0Pxn1/+OhtX6jWnbT5zT8QG8+JVEw0dYSGeWXt8e5x/LTApmm0319w8v0Zq0YtJQUA/uSNgR8Gc6J2kl779n0wGNx999233HLLW97ylje96U1VVZVlORwOu93ui999jlM9iGii7A2juxrRGTf90f7Fe/5g322fm9y46dTLr1w5++/Uzbg3MUyxWOacYiKWp5qVavnY4iNPP/LswecOHTt04NDzx44dO3rs6Orq8vLycl3XKUVRFt1upyyLTqezYXbDxo0bN2/ePD09fdppp5166qlzc3PdbndtuKlpmlyUTV1HSqksxqPRXXfdc8MXb/jeq773LW95S9SrqVONouwWZTU8Usw/OLjr84/feUu16YxT3vEPy3OvqJtyKi9HrEY194pvuE3sbCcTxvFRvpyzuZ1/wd+nrRP/H/6S0T8AgDDKx0t/BpBSRFRVNRwOJyYmLrroon379t1www1LS0tXXnllWZYv6b2ISPVKNMNRmh5Ft0jRy1GVRXROmr7kveeedMbu//JrRz7zK89cOHnRtW+PXAwGq9XEdL00KKvpYjKmp6Z3nrpzVEbOUaUYj5uyTGX1J4dAjOtRXY/LsqzKKkXRvtlti7QNjHblUnvqQ1EUTUSnKKIZRjPefe837vnyl966c+fFl1x8pC46vcnViCZiU0T30F1x/S8eeOKJ0y/7G1Pf/b7lrd+1nMpeEZGLyIaqXu1LpV0tZofSv3jti39th9i1j9eehbWVlgAAko+XvpVcGzTIOU9OTl599dXHjh27/fbbq6q64oor+v1+u13Ei97ll912RV8VUTUruUmjYmK5d9LMmVee9v2LK3d8auM9v/j8sS+vf/sHO9t2Ho2pPBW9nDvNsIw6NVFGmVOZoux2iojITW6apqzKHLkqy6osI6LOdRkvDKyVZbk2xJRzrqqqHeVLKeXxMOd6uLr09Zu/vHv341tPPvnyN+/sT08PIg9zmkoxc/Tp5Wce2337J+LwaOvVf3/iLX8rJk7upujWgzKVw6I/iv7Uq7hQ4/G4fdvdPqQTx/de5aVeu86v0bfma1HRftWG+P7ifzRz4qvoJS8k0zcAgDXO5ePl302242YppW63e9ppp6WU7rvvvpTSpk2b2rmU7eq+pmlS1Y+iV0R087jIg0iRqv4ooi5Skaruhq297Resmzj87EMP77/v/vVVObVxS6/bP5yK54tytej0ytWqPlLUdUq9yDny8X5IkY6fBNFEpFQUqThxj4r247Is67oej8ftiFNqxqnT/do9u7789ftXi8m3v+NdmzZu6Faj7vj5fnM0nrznyOd+ae99X1kqZs55zz/p7Xz/YrOu2+kUzVKRV1LqDlI5jOi/itqp67q9RDnnRx999JFHHrnuuutObL9XTKBvnZj32mq/tUe79lW3yylzzhb1/UU+C2te9tkBAJB8vPJ7yqmpqS1btjzyyCN79uyp63rr1q1tXxVFURTFas51Sp1mNZqFiKYp+ku5iBRVE1HnVPWbqZOLkzd3mt7yM3tWdz84m4+l/qicmV2KiVHkXox6eRSpiqobqYmUop3XmXJEEZEiUo4UkYo/5eEVRdEO9A0Gg6JIe/cf+c+f/6NBNfP97/vA6advm+qVsXog8oHY/fXDX/7Eocfv7c9uPvOtPzhxwdVNMZHHo6rMkaooJyNVnYh+NGtnzf9p6rpuO6e1d+/ew4cPv/Wtb127sQ3CV3+R261QXuul1J6cURTF2oYuwgMA4C///bz5P/zZ2mmcRVE89dRTN9100549e77ne77nqquuase4yrJcjkgpTdYL0SxF0R+W6xabNFVEtxmkXC+Vk89HnBTjznAxPXn/wTs+t7D3/ug2my964/Qbv6dZf2YzeVYT64vUdJpxRIqUIhU5RyrKiCJHrB19Xr5cKZ24kKkoinvuufcP/+imuZNOuerqazZt2jhTrKTF5+af+MbSvV9aee7xTbOd6e/5G70tZ8S2i6KcqYcrZSdF0T+WuksR6yP6o2djPB/9819NpLWfcTweHzt27MiRIzt27GgXGb6aIb548RKsdqCy1+u9pl8qa+HatuurvA4AAEg+/jKNRqNOpzMajaqqOnTo0EMPPXTbbbdt3rz5B3/wB+fm5nLOxzeRGEUqcxTDiCqizOOol6Mox8XkSqR+xHAUk52I1X3NQzet7rn74P23dFLqn3T27JveX5x7bdPvF2kYEVHniDLKTqQXJV9+uYWnbVS0pwUeOXLknnvu+eod35ib7v69v/nuqQ3dOPjM6Mi+e2/64uLi4sTU9DnnvmHuu98UW66MXDej1aKsI49jFNHfeDRiFLEuN936cNQL0dvxavKm7ZnV1dVer9eO7LWjfK8yddbWH7ZzO18HhxycuLqv/TGBUT4AgL90JnbyytYCZmpqatOmTUeOHLnvvvsmJye3bt1aFEWRlyOvjorJxUijiF5uyrwc45XIRRS9IppeHqbcSVWMI4oqF5s2drbtmBpPLh+p5w8sDA4/N7X89LgeRHddURVRFNHkSEWkMiJFjny8GoqXa4y6rquqWl5evvXWW++8887+zIa/89ffNTu1Gl//g6P33PDMHZ+fTIPZk7Zf/H0fmrzgqjxz7sGirFPRLYqUR5HLuprJRdGLPJXHZTRRTke18RUvyGAw6HQ67cTFqqra2Gu3k2mv1WAwaOe+vsJPXI6vS3zZ5Viv0eRb293HEB8AwF8FRvl45ffxbVbF8YGphYWFe+6552tf+9rMzMyll156wflnTk9PDYup1Zw7RTGR6xgtFkUVZS9SWY9XUzPI5WxO0aRREeMUTTQpDcbFkUP1gacOPHrn/L5dTRr3Z2enZzeu33pGd+uOmDst+nOR+nUxMUhFEzGO6EWUESki5ygjyhRNM6pXlp7dt/eOW295dt/e/mT/radW/WL8/FOP9vPyzNTk+pNPWbfjwjj90pjaPk6TiymKiCpiIjdFjHN06pSKiKJZjTyI1BsWE6OIV9yxsx35bDftbA+vXzvCPo4fcfGtp1n8GVf4xAJ8HbxgDO4BAEg+XsPa7TEfeuih22+//dChQ3Nzc9ddd9327dtP/N3BYDAcDmdmZo7fUrS7sIwj2ldcJ+WUh9GMYnAsjh4eP37ryqM3zx9bmF9cqVN3XHQmN5w0d9K2LWecnTq9aIqYno7NWyPlaOoYj2KwFKOV1SefeOTeu448f2iiKjplGg6HU2l1ZtO2zTsumt5+fmw9M6Y2RzkdqROpGxH5FTdmAQAAycd3uPYw9JTSwYMHn3zyyQceeGB5efnss88+//zzN2/ePDk52S5La19a7Zb9KepIZY5UHz9jvYwo6mHkceRBNKPITQwHsbK4/Pyzq4eeHh16Ms0/0ywcbI4+OxUr/TKP6sHB3o6IVBQpR6rrcc5RFEWTm6mp6Zn169P6DZ3JfnHK5eXsppjeGNV0pG6U/Sh7x+eE5oiI5CxKAAAkH/zpcs7tUF47f29paemLX/zivffeOzc3Nz09fcUVV7zhDW9os3BtOmhZ5IiUU1kf346leGE7liaaUeTRMHfGqdcpo4xc5HEMFyKvRqpjuBhHD8fqUtSj4bh6/siRfc8+t2//oQOHjxTd/pZt29/1t34kym6Mm+h0IiJyE6mIqCJVOZXNC7WXU64jcuRxFH3PIAAAkg/+rORbW6zVbjWZUvra17721a9+tWmaTqdz6aWXnnrqqWeddVZ7XF5RFFEPc6RcdOrjx6vnHFWKMiLyOKKuo8ypiogmot2ls/1nHNEODOaI6ecev/f+B+978KGjC4vTGzaffd4Fb7/mmqZMx1ai14tUxNIgTulFEzHO7c4vkXOUKaqIIo8lHwAAkg9ebfKtHUzX3ljX9ZEjR/bv3//www8//vjjnU5ndnZ227Zt27dv37Jly8Z1U1GUOZV1Kpu1HThTpBzR1FWRIprIOSI1kZqcc5GaiHFdHzm2sP/AgYPPLz719MHus3eNxuPtp+847Ywztp6+Y+Omk8Y55VREUYzzCyUZOYoi6hxFeiEsX0i+yCk3EXW7qA8AACQffJsWFhaefvrpO++889lnn2036+9UxamnbX/DG87fdurpE1PTTRS97gsjhUVEk6NoxlWMYjzK9Whxfn7fM3see3jXcLC6dOzIcGWpiNztds++9kfOPPPMuY2zETFuojx+BEBzwqfutP354tuLiHR8PZ/tWwAAkHzw55VzXllZOXDgwN13371r1671szMLC4sLS6u9if6GTZv7/f7shrlut1tVVbcqUkqjpfmVo4fthM/oAAAgAElEQVRGg9WVlZWVlZXRcFCWxWAwqIfDbdu2nXvuuRfv3Hls+uRuGcXxjTfL4y2XTjiyr8qDiCKiiFTm4zNCT3yJ27wFAADJB3/e3lv7eDQajUajAwcPLS8vz88fPTI/v7S0PK7H88cWcpPbpYARUUbd73a6ExNVtzcxOb1hbm52w4be5OTc5i39yW5EDOtYX+bc1BGRUhSRi6aO1ERuIprIx/eFSb2IiFS+cJJ7lDkVzfHqayJM6wQAQPLBfx9N04xGo4jo9nprN47HTW7G3W63bl6Iw7JM9fHZmBHRNJFy1HVTlUVVvjCCNxrV3U67Pq+JiMh1jIdRFZHXdnuJyM0Lu7Ok9g8VESlSEVHk4/M8S88KAACSD/6cpXfi/i51XUdV5SannFOK8oWdVZoXXnupSCm10ZbrnKIpU7sT6DilSEWK3ETKkfM4TbYv2iZHUaSU/mTS5toKvRQ5Hb8l5RMndR6/Syo8QQAASD4AAABe84x4AAAASD4AAAAkHwAAAJIPAAAAyQcAAMC3pXIJvgMd+bmLXAR4zdnws/e7CADAfyujfAAAAJIPAAAAyQcAAIDkAwAAQPIBAADwbUk5Z1cBAADgdckhDd+JHNIAr0UOaQAAvg1G+QAAAF63rOUDAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAACQfAAAAEg+AAAAJB8AAACSDwAAgP9hKpfgdenIz13kIgAA0Nrws/e7CN+xjPIBAABIPgAAAF5rTOx8PTOCDwDwHc56H4zyAQAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAADw36ByCV7HjvzcRS4CAAB8JzPKBwAA8LqVcs6uAgAAwOuSUT4AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAACQfAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAABA8gEAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAJB8LgEAAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAACQfAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAABA8gEAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAACQfAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAABA8gEAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAABA8gEAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAACQfC4BAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAgOQDAABA8gEAAPBXW+USAAAA/6Md+bmLXnLLhp+9v729/YD/QYzyAQAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAJB//f/t2bNsgEIZhmEjXUrhkATpX3gnGsDwGrOWOBSg9Ai7SpHNhOb7/v+dZINKng+QVFwAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAACQfAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAABA8gEAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAEDymQAAAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAABA8gEAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAACQfAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAACQfAABA04oJUnrczkYAAODX6Xo3QrN85QMAAJB8AAAARONiZ2a+4AMANM7/++ArHwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAACQfAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAABA8gEAACD5AAAAkHwAAABIPgAAAD6hmCCxx+1sBAAAaJmvfAAAAJIPAACAaFzszOl0vRsBAADwlQ8AAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAABA8gEAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAACSfCQAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAACQfAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAABA8gEAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAANKeYILNttgEAAG8ZFxtIPmo1TDYghn11XO0PHhOoUX+xQXQudgIAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAAPBCMUFm+2oDHFfsDx4TeOPkd924mEHyUathsgFh/pDy6+SLttnrArymgKxc7AQAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAAtKqYILN9tQFhbLMNvC7AawpqNC42kHzUaphsQJjecFztDx4TqFB/sUF0LnYCAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAADwQjFBZvtqAxxX7A8eE3jj5HfduJhB8lGrYbIBYf6Q8uvki7bZ6wK8poCsXOwEAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAAAkHwAAADkVE2S2rzYgjG22gdcFeE1BjcbFBpKPWg2TDQjTG46r/cFjAhXqLzaIzsVOAAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAACQfAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAECrignS2mYbEMm+2sD+4DGB+k5+142LGSQfVfJwAgBA81zsBAAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAJIPAAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAAkg8AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAACSDwAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAyWcCAAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAADJBwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAAMkHAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAyQcAAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAACQfAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAABA8gEAABDOz3EcVgAAAD7qcTsb4a/T9f4/P8hXPgAAgLQkHwAAQFoudgIAAKTlKx8AAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAgOQDAABA8gEAACD5AAAAkHwAAABIPgAAACQfAACA5AMAAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAIDkAwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAABA8gEAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAEDyAQAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAQPIBAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAIPkAAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAAAg+QAAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAACD5AAAAkHwAAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAACQfAAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAJB8AAAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAkHwAAABIPgAAACQfAAAAkg8AABbdAy4AAACQSURBVADJBwAAgOQDAABA8gEAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAASD4AAAAkHwAAAJIPAAAAyQcAAIDkAwAAQPIBAABIPgAAACQfAAAAkg8AAADJBwAAgOQDAABA8gEAAEg+EwAAAEg+AAAAJB8AAACSDwAAAMkHAACA5AMAAEDyAQAAtOAJ01QeMINKJGcAAAAASUVORK5CYII=)
Jesús Ayuso Pérez
ALGORITMO DE BOOTH EN FORMA DE DÍGITOS SIGNADOS
3C TIC (Edición núm. 18) Vol.5 – Nº 3
Septiembre – diciembre ‘16, 33 - 43
Área de Innovación y Desarrollo, S.L.
ISSN: 2254 – 6529
DOI: http://dx.doi.org/10.17993/3ctic.2016.53.33-43
1. INTRODUCCIÓN
Como adelantábamos, el concepto de Booth basa su potencia en la posibilidad de reducir las
operaciones que componen cierto cálculo eliminando secuencias de 1s consecutivos en la
representación binaria, o usando una representación ternaria de un mayor ratio de 0s,
apoyándose en la operación inversa, a la que compone el cálculo, para absorber el efecto
algebraico de operar por la secuencia completa de 1s. Lo que Booth no notó en su algoritmo
fue lo que ocurría ante una secuencia de 1s que consta de un único 1. Claro, si es un solo 1,
no es una secuencia de 1s (tal vez sí, depende de cómo se defina), y en ese caso, no tratado
por Booth, su algoritmo decrementa el rendimiento.
Por otra parte, si lo enfocamos más desde el prisma de la representación ternaria, más
concretamente la representación NAF, eliminamos ese efecto negativo o ese caso no tratado
por Booth. No obstante, tampoco es una solución que pueda terminar de satisfacernos
siempre, o de encajarnos en cualquier situación, ya que la gran virtud de la representación
NAF, que es que garantiza el óptimo, es decir: no existe una representación del número que
tenga mayor número de 0s, es también su punto débil, ya que para garantizar esa
optimalidad se puede volver un cálculo bastante pesado, de cara a agilizar o a ser aplicado el
concepto de Booth a operaciones ligeras. En cambio, de la manera elegante e
implementativa con la que Booth dio a conocer su concepto, su algoritmo puede ser
incrustado sin ese coste de tener que calcular otra representación de los números.
2. METODOLOGÍA
Bien, vamos a tratar de ilustrar exactamente la problemática del concepto de Booth. Para
que se vea mejor, vamos a intentar mostrarlo con una operación sencilla: de la adición, en
nuestro caso algebraico, suma entre enteros.
Antes de nada, repasemos la tabla 1, dada por Booth para reducir el número de operaciones
necesarias, apoyándonos en esa invertibilidad de la primitiva con la que se construye nuestra
operación:
Tabla 1. Tabla de acciones de Booth.
operación inversa /
inverso misma operación
Partiendo de la tabla anterior, el algoritmo de Booth, como figura en la referencia
bibliográfica ‘Booth algorithm operations addition and subtraction’, aplicado a la suma de dos
números, a y b, de longitud n quedaría: