diff --git "a/IMO/md/en-IMO-2024-notes.md" "b/IMO/md/en-IMO-2024-notes.md" --- "a/IMO/md/en-IMO-2024-notes.md" +++ "b/IMO/md/en-IMO-2024-notes.md" @@ -183,7 +183,7 @@ Then there are \(N\) initial blocks placed, colored red. The rest of the blocks In other words, the yellow blocks \(B_{i}\) for \(i > N\) are given coordinates \(B_{i} = (a_{i},a_{i + 1})\) for \(i > N\) . Note in particular that in towers \(M + 1\) , \(M + 2\) , ..., the blocks are all yellow. 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) +![md5:1a4a7e7253b0ddf22f96b7b7a6d15d18](1a4a7e7253b0ddf22f96b7b7a6d15d18.jpeg) We let \(h_{\ell}\) denote the height of the \(\ell^{\mathrm{th}}\) tower at a given time \(n\) . (This is an abuse of notation and we should write \(h_{\ell}(n)\) at time \(n\) , but \(n\) will always be clear from context.) @@ -191,7 +191,7 @@ We let \(h_{\ell}\) denote the height of the \(\ell^{\mathrm{th}}\) tower at a g \(\P\) Up to alternating up and down. We start with two independent easy observations: the set of numbers that occur infinitely often is downwards closed, and consecutive terms cannot both be huge. 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/KRkMFJ5xjiqjjaWL93HR1/nXxf9vLaXzs/7wcrj8P3HqVFePafqfjbQ9D0m+s/teu+H763S4LKqte2aFQ23JBD9cZwc4P3eK6PwL46/4SbxDq2nQ3DXdnbwxTwzyxCOZC2Q0cigAEgjggdPXrXNiMvnSi6sGpwTtzL8mnqn6+dr2GpX0e531edfDv8A5Hb4gf8AYTT/ANBavRa86+Hf/I7fED/sJp/6C1ckPhl/XUo9Foorizq2q6t4Tu/EWl6hJbTQrNJFZ3FqoiPlk/I+4b8nbgsrAc8dKhRuB2lFcX/aXiHxXoOgal4duodM+125ubhriDzlHCgR447sSDx92n6KvjBfEv2fUta068sYIy1yLexMZDkfIm4sef4j6DH94VXJ3YHY189fC7/ks3jD63P/AKUCvoWvnr4Xf8lm8YfW5/8ASgVxZj/yL6/p+pUPjR7Fq+lWut6Vc6bepvgnQqw7j0I9wcEfSuc8D32oW4u/DOrh2vdK2rHcEHE8B+42fXjH/wBfNdhXKahf61HoWu6pLJJpklg05to3WN4pY4xlXbgthu/II/U/F4PFylg6mBmk4yacbu3LO9rrR3urqS66PojplH3lI6uisjTL7UNX8NadfxRw2l1dQRzSJMjOI9y5IwCCevqKq+B9XvNd8IWWpX7I1zM0u8ou1flldQAPoBXnyw8owlN/Zdn6u/8AkyrnQ14t8Kf+S+eMP929/wDSpK9prxb4U/8AJfPGH+7e/wDpUlfS8K/HW/wr8zGv0Pf6KK5S9vNbbTdfv5ZZdJ+wNL9lDLE8U0aJuEjZBbBOcjK4HvzX1SVzA6uiuNOta5rXgLR9R04wadquo+Qf30ZeNd3J464IHHfBrY0G18Qwh5df1OzuZCAqw2dsY419yWJZj+Q9qbjZagbVcJ4Z/wCSy+Nf+vWx/wDQDXd1wnhn/ksvjX/r1sf/AEA10YP+J8hS2PQqKKK9MgKKKKACiiigAooooAKKKKACiiigArzr4R/8irf/APYWu/8A0OvRa86+Ef8AyKt//wBha7/9Drlxn8MqO531YHizS7TU7KxM97DZ3FrfQ3NlNMQF89ThVIJG7dkrgHPPHNb9U9S0u01a2SC7j3rHIs0bA4aORTlWB7EGvNi7O5RxfiK1vtS+IvgxJhGjW0lzctHA5cJGsYBdiQOrMigY9eTnj0Cs+x0e1sLma7UyzXcwCyXE7l3Kjoo7KoyeAAMknqa0KcpXsuwFe+/5B9z/ANcm/ka8R+DX/Hlq3/XSP+TV7dff8g+5/wCuTfyNeI/Br/jy1b/rpH/Jq2w+56mB/g1Pken0UUV1mgUUUUANl/1T/wC6a4L4A/6nX/8Aet/5SV3sv+qf/dNcF8Af9Tr/APvW/wDKSsMR8I6n+7VPl+Z7NXF3X/JZ9N/7AU//AKOjrtKwZfB+jzasNUdb77cqGNZhqNwCqE5KjEnAzzjpXLBpXueMWLnU7G41s+HJDci6ktftRMW9AI9+3/WLjByDxntXOeE7x9O8b+IPCcaiSztEjvIZiP3gMgyyyN/Gc8hj8xHUnrXW3mmwXkqTF5YbiMFVmhcqwB7Hsw9iCKi0vRLHR2uZLWNvPun8y4nkcvJM2MAsx54HAHQDoBTTSTQGjXn/AMLf9Z41/wCxovf/AGWvQK8/+Fv+s8a/9jRe/wDstEfgkB6BXGar/wAld8Of9g28/wDQo67OsK48IaPdasmqTLfG9jDKko1G4UoG5YKA+AD6DjgelKDSeoFvxBqqaF4d1HVXXcLO2km2/wB4qpIH4nio/DELQeF9NEjb5nt0lmc9XkcbnY/ViT+NWNW0i01vRrnSr1Xe1uY/LkAcgkfXrVuGFLeCOGIbY41CKPQAYFK65bAPrjPh5/yE/F//AGGZf512dcZ8PP8AkJ+L/wDsMy/zrpwnxmdTeJ3VFFFemAUUUUAFed+Af+Rt8ef9hYf+gCvRK878A/8AI2+PP+wsP/QBXPiv4THHc72ua8QW03ihZdAt5Gi09js1K5XqU7wp/tMOGP8ACDjqeOlri3+E/gyR3d9MuGZ2LMTqNzkknJJ/edSa8yDSd2Wa8eq6Ok2m6BbCZVu7Qvai3R0RYkAH3xjbxjHP9K86ufCNlcfFK80O1mubS5GnjU7bU4HPnwuZNjJI3WQHrlju7Zx09ROiWQtLS3hSS3WzjEVu8MjK0aAAbc55GFHByDgZ6Umm6FY6XdXV3CjveXZU3FzM5eSTaMAEnoB2AwB6V0YfFVMNP2lGTT/r8PITinozjE8WeI/Bjrb+MrI3mng7V1mxTIA/6aoOh9xj2zUHwvu7fUPFPjq8tJVlt59QjkjkXoylTg16W6LIjI6hlYYKkZBFeI+HfDGoz+MfGU/hjVP7JutP1AJDAEH2eVCCdjr6Z6HBxnpXoRnhMZGXOlSn3XwPXqt4+quvJEWlHzR7fXOeIIrjxEk3h+zlaG2kGzUbteqRkcxJ/tsDgn+EHPUisbT/AIiPp96mleNNPOi3zcJc/etZ/dX/AIfxPHc9qsN8LfBd27XJ0+eUzMZGkGpXJ3ljknPmc5zmuGvg6uFkvbLR7Nap+ad7MpSUtjoI7nTtH8NNPaoE06wtmKKgwBHGDwM+y1U8EtJceDtMvp8G4v4RezH1eX5z+A3AD0AA7VebQ9PPh1tBEJTTjamz8pXOREV2Y3Zz075zVmwsoNN061sLVStvbRJDEpOcKoAAz9BXK2rFFivnr4Xf8lm8YfW5/wDSgV9C189fC7/ks3jD63P/AKUCuPMf+RfX9P1Kh8aPb65TUG07xf4Yub+2luY0iEnltKGVN8ZOC0TfI65H8QP4EcdXWTd+HbK8hnt3e5S1uM+dbxzsscmfvDA5AOTkKQDk56mvzzD1IQlzNtNNar8dDrauQeDNbm8R+ENM1a4hEM1xFl0XpkEqSPY4yPY1m/C//knemf70/wD6PkrpH021awjskV4LeMBUS2laHaAMAAoQQMdqraN4d03w/ALfTI54YACFia6lkRcnJwrsQOcnj1NbTr0XTqRimuaSaXRJc2l7+fYSTujUrxb4U/8AJfPGH+7e/wDpUle014t8Kf8AkvnjD/dvf/SpK97hX463+FfmZV+h7/XLXQ0zxxoN48M13FHDJLAGfcib0PJaNvkkXI/iBBrqayLvw5ZXkdxC0l1Fb3O7z4IZ2RJN33uB93OTnbjOTnrX1cWkYHL+G/E0Pizwd4Zn1jTLh59SlZdtsh8tWiLAu2Dwh29OR82ORVmZ/wCyPilpOn6bGsVrf6fO13bxAKi+WV2SbRwDliue4wOwx1B0ixGn29jFAILe2C+QsBMZiwMDaR04yPcEg8E0yx0SzsLya9XzJr2ZQklzO5dyo6KOyrnnAAGeetVzR1sBo1wnhn/ksvjX/r1sf/QDXd1wnhn/AJLL41/69bH/ANANbYP+J8hS2PQqKKK9MgKKKKACiiigAooooAKKKKACiiigArzr4R/8irf/APYWu/8A0Ou71OR4dKvJY2KukDsrDsQpxXzD4P8ABMni62u7j+0zamGQKQYt+4kZzncK5sSuZKJ24TCqspScrJeVz6horwP/AIU3J/0MH/kqf/i6P+FNyf8AQwf+Sp/+Lri+ryOr6hS/5+fge+UV4H/wpuT/AKGD/wAlT/8AF0f8Kbk/6GD/AMlT/wDF0fV5B9Qpf8/PwPdL7/kH3P8A1yb+RrxH4Nf8eWrf9dI/5NUP/Cm5P+hg/wDJU/8AxdVPAXg46tpN5cpr+sac0d5JblbC48pX2YAJ4OTya1pUnF3ZtCEKFOUYy5m7dLbHsFFcT/wryb/odPFX/gf/APY0f8K8m/6HTxV/4H//AGNdFl3M+aX8p21FcT/wryb/AKHTxV/4H/8A2NH/AAryb/odPFX/AIH/AP2NFl3Dml/KdpL/AKp/901wXwB/1Ov/AO9b/wApKs/8K7mIwfGnioj/AK//AP7GuF8NfDs+IYtRlj1U2y2l/LZhTDvLbMfNncOuelZVYOS0NIuM6cqU3y3t57H0vRXgf/Cm5P8AoYP/ACVP/wAXR/wpuT/oYP8AyVP/AMXXP9XkY/UKX/Pz8D3yivA/+FNyf9DB/wCSp/8Ai6P+FNyf9DB/5Kn/AOLo+ryD6hS/5+fge+V5/wDC3/WeNf8AsaL3/wBlrg/+FNyf9DB/5Kn/AOLrE8OfDt9ebVgNW+z/ANn6jLYn9xu8zZj5/vDGc9OfrVKjJRaE8DSvb2n4M+l6K8D/AOFNyf8AQwf+Sp/+Lo/4U3J/0MH/AJKn/wCLqfq8h/UKX/Pz8D3yivA/+FNyf9DB/wCSp/8Ai6P+FNyf9DB/5Kn/AOLo+ryD6hS/5+fge+Vxnw8/5Cfi/wD7DMv8682/4U3J/wBDB/5Kn/4uoPhn4cn1671KzXxDrelpbIjf8Sy68nzCWYZYYOelaU17GXNI58Tgowipxne3lY+iqK87/wCFZTf9D740/wDBp/8AY0f8Kym/6H3xp/4NP/sa6frdM4eVnolFed/8Kym/6H3xp/4NP/saP+FZTf8AQ++NP/Bp/wDY0fW6YcrPRK878A/8jb48/wCwsP8A0AUf8Kym/wCh98af+DT/AOxrivB/gibUfFfjCzHi7xLaiyvUTzbe+2vOSp+aQ4+ZuOtRVrQqwaTGlZnuVFef/wDCsJ/+h+8Zf+DL/wCxo/4VhP8A9D94y/8ABl/9jXDyw/mKPQKK8/8A+FYT/wDQ/eMv/Bl/9jR/wrCf/ofvGX/gy/8AsaOWH8wHoFedfDv/AJHb4gf9hNP/AEFql/4VhP8A9D94y/8ABl/9jXGeDPA0uoeKPF9sPFviS1NnfLGZbe92vPwfmkOPmb3rSMY8stf6uI9p1HTbLVrJ7PULWK5t3+9HKoYfX2PvXCP4R8Q+DXa58F3purDO59Gvnyv/AGyc/dP1/EnpUv8AwrCf/ofvGX/gy/8AsaP+FYT/APQ/eMv/AAZf/Y104XGzw6cFJOD3i1eL+XfzVn5ilFM0/DvxA0vW7o6bdxy6VrKcPYXg2Pn/AGSeG/n7V1teZX3wWsdTljk1HxV4kvXj+4bm6SQr9NyHFc7r/gnxl4fuhcw+I/EuqaKo+ZLDUGjuIl/3TuDAe36V0/VMHjH/ALLPkl/LLb/t2T/KVn5snmlH4j2+vnr4Xf8AJZvGH1uf/SgV1Xh3w5pvim2M2l/EnxhI6/6yB9S2yx/7ylc/j0968h0PwFJ4t+IGv6OurSQtZyzubmZPNeXbLty3I5Ock15GYYVU8NWo4iThprdPTXtuaQldprU+o6K8M/4Z7uP+hoX/AMAz/wDHKP8Ahnu4/wChoX/wDP8A8cr4X+z8s/6DP/JJf5nVzz/l/E9zorwz/hnu4/6Ghf8AwDP/AMco/wCGe7j/AKGhf/AM/wDxyj+z8s/6DP8AySX+Yc8/5fxPc68W+FP/ACXzxh/u3v8A6VJVX/hnu4/6Ghf/AADP/wAcrD+GXhGS6+JuuaCuualYNYQzobvTpfJkl2TImD1+U9ceoHpX0GQYbCUnVdCvz3WvutW18zGrKTtdWPqWivP/APhWE/8A0P3jL/wZf/Y0f8Kwn/6H7xl/4Mv/ALGvb5YfzGZ6BRXn/wDwrCf/AKH7xl/4Mv8A7Gj/AIVhP/0P3jL/AMGX/wBjRyw/mA9ArhPDP/JZfGv/AF62P/oBqL/hWE//AEP3jL/wZf8A2NcfoPgia5+J3ivTD4u8TRGzitD9qivts026POJG2/MB0HpXRh3CEnK/QTPd6K87/wCFZTf9D740/wDBp/8AY0f8Kym/6H3xp/4NP/sa6frdMnlZ6JRXnf8AwrKb/offGn/g0/8AsaP+FZTf9D740/8ABp/9jR9bphys9Eorzv8A4VlN/wBD740/8Gn/ANjXKaV4Z1K++I+v+HZPHHi1bTToIJYnXUzvYuoJ3HGO/YCmsTTdwsz2+ivO/wDhWU3/AEPvjT/waf8A2NH/AArKb/offGn/AINP/saX1umHKz0SivO/+FZTf9D740/8Gn/2NH/Cspv+h98af+DT/wCxo+t0w5WeiUV53/wrKb/offGn/g0/+xqv4Mgv9F+J2s6DLr2rapZx6bDcJ/aVyZmVy5BxwMVdOvCbtEGrHf6x/wAgS/8A+vaT/wBBNeJ/Bv8A5BWp/wDXdP8A0GvbNY/5Al//ANe0n/oJrxP4N/8AIK1P/run/oNKr8SPVwH8Gp8j0uiiioNgooooAK4X4Vf8i7qP/YVuP5iu6rhfhV/yLuo/9hW4/mKpbES+NfM7qiiipLCiiigAriPhn/x4eIP+w7df+y129cR8M/8Ajw8Qf9h26/8AZaa2Il8a+Z29FFFIsKKKKACvN/DU0tvovjeWGRo5F1+6w6nkcoOK9IrzTw//AMgDxz/2MF1/6ElUjOpuvmdt/Yn/AFFNS/8AAj/61H9if9RTUv8AwI/+tWrXNeL9Gg12C209sx3Fw7ItwhIeJQpbcCP9oKD/AL1JFSSS0Rof2J/1FNS/8CP/AK1H9if9RTUv/Aj/AOtWR8O9Xn1PwrHb3xP9o6dI1ldBjk704BPrkY59c1P4f0HToNQvtUgtyGa6dIQXYiNUHlsFBOBllc/jTJTTSaW5YktpdO1bSwl9eSpPM8ciTS7gQInb09VFc78FP+Q3r3/XNP8A0N66nVf+Qvof/X1J/wCiJK5b4Kf8hvXv+uaf+hvXNiNkTW/hv1/Q9moorh5da1a/8Dz+LNMv5IJI4JblbG5tQsRWPOY2yA+flI3BgM8gY4rkUbnmncUVhW+r3eseE7LWdN8i3NzarclbhGk2gpuxgFcnPHWk8E6rda34K0jU71la6urdZJCq7QSfQUOLSuBvV5z8PP8Ake/iD/2EYv8A0Fq9Grzn4ef8j38Qf+wjF/6C1XD4Zf11A9Goork77V9Ys/H2g6VJNamx1Bbt2SOEhwIlUrlix/v9gOlQlcDrKKo6q99HZPJYSW6SIrMxnjZxgAngBh/Os/wTqt1rfgrSNTvWVrq6t1kkKrtBJ9BRbS4G9XnXw7/5Hb4gf9hNP/QWr0WvOvh3/wAjt8QP+wmn/oLVcPhl/XUD0WiiuT1TWNYsfHXh3TDNa/YNRkut6JCd+2OIsuWLHuR0A6dahK4HWUVgeKpNaFvp8GgXdta3txd7N9zF5iFRFI5BA552jkVZ0K11yCKR9d1G2up3xtjtLfyoowPTJLMT6k/hRbS9wMnxF4A0rXboajbvLpesIcpf2Z2Pn/aA+9/P3rwzwNrkHhT4ka/c6o1xc/NNBd3EUWdrecMyEDopI/UV9P188/DFVf4yeMUdQysboEEZBH2gV04jMv8AhPq0sZH2lNLa9pJX+zLVr01XkKMPfTjoz2bT9Rs9Vs0u7C5iuLd/uyRtkfT2PtVquKvfAItL46l4Uv20a8Y5kiUbreX2ZOg/D8u9XNW1XV9P8U+HrIzWv2S/uZY5FSE7yFiZh8xY45A6Dt1r83xeCwjkpYGtzRabtJNSjZXs7Xi9NmnrbVR2OyMpfaR1NFc/4g1qez1bRdFsyqXWqzSKJmGfKjjTe7Ad2xgDPGTk5xgtg1W4sfGCaDdztcR3Vo1zbTOqq4ZGAdDtAB4KkHA79eK4VhZuCl3TaXknZv8AB/cVzI6KvFvhT/yXzxh/u3v/AKVJXtNeLfCn/kvnjD/dvf8A0qSvo+Ffjrf4V+ZjX6Hv9FFcpBe6n4hsNRu9M1Gaxntbma3igktV8stGSBv3ruYNwcqVxnHUEn6pK5gdXRXDWnibVvFHw80jWNGeCw1HUJETM0fmRqwYq4x1wSpx3wa39BtfEMIeXX9Ts7mQgKsNnbGONfcliWY/kPam4W3A2q878Mf8lq8d/wDXGx/9FV6JXnfhj/ktXjv/AK42P/oqqhtL0/VAz0SiiuXtrzUPEaao+n6lPp8tldy2kcbWqlCycbn3rl1OQcqV4OOoJqErgdRRXnmn/EG61rw74YaCGO21PXLl7ZzjckPlbvNdQev3flB4+YZzjndXVrrSvGdnoV5ctdQajayTWs0iqsiyREb0O0AEFWBHGRg9cjFOm1uFzpq858O/8ly8Zf8AXnaf+gCvRq858O/8ly8Zf9edp/6AKdPaXp+qA9Goormbi41mePXJpZZtJjsiwtH2xPHMgQN5jZBOM5yPl49+ahK4HTUVx+meI9a1nwNoWrQaYwvNRaJbhYsfuI2JDSqGPIwAQDn7w645fFrGoWPxFh8OvcNfWtxp7XZeRFEluyvt5KgAq3QZGcjrT5HqB1tcJpP/ACXPXP8AsDQf+hmu7rhNJ/5Lnrn/AGBoP/QzXRg/4gpbHa6x/wAgS/8A+vaT/wBBNeJ/Bv8A5BWp/wDXdP8A0GvbNY/5Al//ANe0n/oJrxP4N/8AIK1P/run/oNdlX4kengP4NT5HpdFFFQbBRRRQAVwvwq/5F3Uf+wrcfzFd1XC/Cr/AJF3Uf8AsK3H8xVLYiXxr5ndUUUVJYUUUUAFcR8M/wDjw8Qf9h26/wDZa7euI+Gf/Hh4g/7Dt1/7LTWxEvjXzO3ooopFhRRRQAV5p4f/AOQB45/7GC6/9CSvS6808P8A/IA8c/8AYwXX/oSVSMqm6+Z6XWYn+keJJG/htLYICP70jZYfgI0/76rQmErQuIXRJSp2M6llB7EgEZHtkfWsnRdM1TT7q9lv9Ut7xbqTzSI7QwlG2qoAO9vlAUcYz70jR7o5S9ul8F/Em5u3BGna5aNKQOguIVJ/VfzLV3OlWrWWlWttIQZY4lEjD+J8fMfxOTVLxB4dtPEUdit1wbO7jukOM5KnlT7EZFbFDZMYtN9jJ1X/AJC+h/8AX1J/6Ikrlvgp/wAhvXv+uaf+hvXU6r/yF9D/AOvqT/0RJXLfBT/kN69/1zT/ANDeufEbIit/Dl6/oezVzXiC2m8ULLoFvI0WnsdmpXK9SneFP9phwx/hBx1PHS1xb/CfwZI7u+mXDM7FmJ1G5ySTkk/vOpNcsGk7s806MfZB4cxYKq2a2pEAQYUIFwuB6YxWL8Mv+SaeHv8AryStqXRLGXSYdL2zx2cMYiSOC5kiIQLtC7lYEjHqabougad4etFtNMSeK3RQqRPdSyqgHZQ7HH4U7rlaA0685+Hn/I9/EH/sIxf+gtXo1ec/Dz/ke/iD/wBhGL/0FqcPhl/XUD0auL8Qf8lT8F/9e+o/+gRV2lYd34R0e+1WLU7hL1ryHf5Uo1C4Xy9/3goDgKDxwBjgVMGk9QNS/wD+Qddf9cX/AJGuc+GX/JNPD3/Xklb97pltqFmLS4a48oDH7q5kjYjGOWVgT+JqDRdA07w9aLaaYk8VuihUie6llVAOyh2OPwouuWwGnXnXw7/5Hb4gf9hNP/QWr0WvOvh3/wAjt8QP+wmn/oLVUPhl/XUD0WuL8Tf8lK8C/wC/ff8Aoiu0rDvfCWkajqkGpXSXjXduzNDIuoTp5RYYbaFcBcjg4HSpg0nqA7WJLC41jSdKvbK5uXnaW4iZEJij8tMEyEHoRJgA5BJrEtZW074syaRYqI9PuNGF3NAgwkcqy7FcDoCykg467R6V1VxpsFzBDGxlVoceVKsrCRTjH3s5PvnOe+ai07RrPTJri4hV3urkqZ7iZy8kmOACT0A5wBgDJ45pqSSA0K+evhd/yWbxh9bn/wBKBX0LXz18Lv8Aks3jD63P/pQK4sx/5F9f0/UqHxo9vrkPFP8AyOngv/r8uP8A0Q1dfWNf+F9K1K/hvrpLt7iBi8LrfToIyRglQrgDI44FfnuFqQp1HKd7Wa08013Xc65K60I9f023utR0a+F1Bb6jZ3DG085sCbchV48deVz0yRjODgisOa1u7z4taXPLsBstNmkkSJiyRh2CpkkDJYhz0H3fbJ6q70e0vYrVZBJ5lo2+3m3kyRttK53HOTgkHOc5p1hpdrpxmeFXaadg000jl3kIGBknsOw6DsBW1PFKnC17uzivK9/w1b9fITjdl2vFvhT/AMl88Yf7t7/6VJXtNeLfCn/kvnjD/dvf/SpK93hX463+FfmZV+h7/WDrzXeqpLoemSmGSVdt3eAZ+zRnqF9ZGHQds7j2Db1chd/DDwjfXs95c6dcSXE8hklf+0LgbmPU4EmK+rjZO7MCYw6DZafonh+3sLmayM7W8CwIxWNod24yHI+XKkEnO4nnINUpn/sj4paTp+mxrFa3+nztd28QCovlldkm0cA5YrnuMDsMdHb+H9NtNIttLtYXhtbXmDZK2+M88h87s8nvzkg5Bp1jolnYXk16vmTXsyhJLmdy7lR0UdlXPOAAM89afMgNGvO/DH/JavHf/XGx/wDRVeiV534Y/wCS1eO/+uNj/wCiqcNpen6oGeiVh65PeXqvo2ky+VdzLia7xkWkZ/i93IztH4ngc7lcjffDLwnqWoXF9d6fcSXNxIZJX+33A3MfYSYHpgcADFTG19QIp/DmiW2l6Bb6XcwWT6PebNPMzYEsgDLJEc4LFvnyRzkZ5wRVPUbS8v8A4u+GZpditYWV3PLFE5ZY0cLGpLEDJYlu38PsTXSx+FNHg0iy0y3tmht7GXzrUrIzPDJ83zBmJJPzN1z1q5p+kWumyTzRB3uLggzXEzl5JMdASegHOAMAZOBzVc/6gXq858O/8ly8Zf8AXnaf+gCvRq858O/8ly8Zf9edp/6AKKe0vT9UB6NXNSrpfjnTL+COW8RLe4ls3b541MiHDZQ/LIuezAqeQR1rpayrvw/aXQnXzbqCK5z58UE7IsmevA+6T3K4J71EWkBzHg3x1Hqvg/QbjVYmju9Sneyj+yxNsdkLDcMfdXC/h9BSSznwx8T9I061DT2+vwzef5zGSWJoV3KwkbLFSCRtJIHbHOetGiacmm2+nw2wgtrbH2dYCYzFgYBUjBBwSPfJz1NR2nh+xtdUbVG8241BovJFzcOXZY852r2UZ64Az3zV80btoDUrhNJ/5Lnrn/YGg/8AQzXd1wmk/wDJc9c/7A0H/oZrbB/xBS2O11j/AJAl/wD9e0n/AKCa8T+Df/IK1P8A67p/6DXutxAlzbS2752SoUbHXBGK8U/4UJexOwg8TKqE8f6OwJHvhq7asZNppHoYGtShCcKkrXseg0V5/wD8KJ1P/oaR/wB+G/8AiqP+FE6n/wBDSP8Avw3/AMVWfLPsdXtMN/z8/BnoFFefD4Fakc48Urx1/ct/8VS/8KJ1P/oaR/34b/4qjln2D2mG/wCfn4M9ArhfhV/yLuo/9hW4/mKh/wCFE6n/ANDSP+/Df/FU1PgLqEYITxMignJC27Dn/vqnadtiXPDOSftPwZ6FRXn/APwonU/+hpH/AH4b/wCKo/4UTqf/AENI/wC/Df8AxVLln2K9phv+fn4M9Aorz5fgXqLjK+KkYZxxCx/9npf+FE6n/wBDSP8Avw3/AMVRyz7B7XDf8/PwZ6BXEfDP/jw8Qf8AYduv/Zarf8KJ1P8A6Gkf9+G/+KqpYfBS+u1uDF4hWERTvEwELfMynBb73ej31pYzlUw3Ov3nfoz0uivP/wDhROp/9DSP+/Df/FUf8KJ1P/oaR/34b/4qjln2NPaYb/n5+DPQKK89X4Gai+dvitGwcHELHB/77p3/AAonU/8AoaR/34b/AOKo5Z9g9rhv+fn4M9ArgfBNlHqFp4ytJWdEl8QXYLJjcOV5GQRTf+FE6n/0NI/78N/8VTV+A2opnZ4mRdxycW7DJ9fvU0p9iXLDNp+0/BnX/wBl3n/Qf1H/AL92/wD8ao/su8/6D+o/9+7f/wCNVyX/AAonU/8AoaR/34b/AOKo/wCFE6n/ANDSP+/Df/FUWn2Dnw3/AD8/BnW/2Xef9B/Uf+/dv/8AGqP7LvP+g/qP/fu3/wDjVcj/AMKL1LcF/wCEqXcRkDyWzj/vul/4UTqf/Q0j/vw3/wAVRafYOfDf8/PwZ1sejv8AbLe5uNTvLo27F40lEQUMVK5+RFPRj3rk/gp/yG9e/wCuaf8Aob0n/CidT/6Gkf8Afhv/AIqrnhj4T3Ns9+I/Fmp2UsMwt2bT8ReYAobLZzn7/wCnvWVSlOdlaxhiatBU+WErt+TPW6K4X/hWmof9FA8U/wDgSv8A8TR/wrTUAMn4g+Kf/Alf/iaj6lLuedzHdUVwn/Ctb/j/AIuD4p56f6SvP/jtL/wrTUP+igeKf/Alf/iaPqUu4cx3Vec/Dz/ke/iD/wBhGL/0Fquf8K01D/ooHin/AMCV/wDiap2nwgexuru5tfG3iOGa7cPPJHMgaRgOCx28nrVRwkkmr7i5j0aiuF/4VpqH/RQPFP8A4Er/APE0f8K01D/ooHin/wACV/8Aian6lLuPmO6orhP+FbX+7b/wsLxRuxnH2pc4/wC+aX/hWmof9FA8U/8AgSv/AMTR9Sl3DmO6rzr4d/8AI7fED/sJp/6C1W/+Faah/wBFA8U/+BK//E1TtPhA9hc3dxa+NvEcMt24kneOZQZG9WO3k9aqOEkk1fcXMejUVwv/AArTUP8AooHin/wJX/4mkb4a36qWb4heKAAMkm5Xj/x2p+pS7j5ju6K4X/hWmoEZHxB8U/8AgSv/AMTR/wAK01D/AKKB4p/8CV/+Jo+pS7hzHdV89fC7/ks3jD63P/pQK9L/AOFaah/0UDxT/wCBK/8AxNcNf/s63kuqXN3a+LXAmcuXmtyZCScncwYZOe+BWeIy6VbD1KHNbmVrgp2aZ67RXjf/AAztrH/Q4j/wHf8A+Lo/4Z21j/ocR/4Dv/8AF18z/qZL/n9/5L/wTf6x5HslFeND9njVixUeM1LDqBA2R/4/S/8ADO2sf9DiP/Ad/wD4uj/UyX/P7/yX/gh9Y8j2SvFvhT/yXzxh/u3v/pUlS/8ADO2sf9DiP/Ad/wD4utjwx8BrvQr6e9PjK+guJEMfmaenlMQSCQzEnIJA49q9fKsgeXub9pzcyttb9WZ1KvPbQ9iorhf+Faah/wBFA8U/+BK//E0f8K01D/ooHin/AMCV/wDia9P6lLuRzHdUVwg+G1+WKj4heKCw6j7UuR/47S/8K01D/ooHin/wJX/4mj6lLuHMd1Xnfhj/AJLV47/642P/AKKq1/wrTUP+igeKf/Alf/iaqQfCB7fUrrUIfG3iNLu6CCeZZlDybRhdx284HSqjhJJNX3FzHotFcL/wrTUP+igeKf8AwJX/AOJoPw11AdfiD4pH/byv/wATU/Updx8x3VFcIfhrqCgk/EHxSAOSTcr/APE0L8Nb9lDL8QvFBU8gi5Xn/wAdo+pS7hzHd15z4d/5Ll4y/wCvO0/9AFXP+Faah/0UDxT/AOBK/wDxNU4fhA8Gp3GpReNvEaXlyqrNOsyB3C8AE7eQOKqOEkk9dxcx6NRXC/8ACtNQ/wCigeKf/Alf/iaD8NdQAyfiD4pA/wCvlf8A4mp+pS7j5juqK4X/AIVpqH/RQPFP/gSv/wATQPhrqBGR8QfFJH/Xyv8A8TR9Sl3DmO6rhNJ/5Lnrn/YGg/8AQzS/8K01D/ooHin/AMCV/wDia0/C3gOLw1rV5q8utanql7cwrA0l9IrEIDkAYArahh5U5czYm7nXUUUV1khTJolnhaJywVhg7HKn8wQRT6ZKZBExhRHkA+VXYqCfcgHH5Gmr30A5bwGix2uuRoMKmtXaqM5wA3FdZXOeFdL1XSTqSX8dmEu76e8VoJ2cr5jAhSCi9Oec/hXR1042SlXlJO9yY7BRRRXKUFZuu2F1qekyWlncpbyu6Eu6b1KhwWUjIyCAR+NaVUtW/tI6XONIFt9vK4iNy5WMH1JAJ4HOMVpSbVSLjvfrt8xPY5mO2WP4nxDR4VhtoLBl1Tyl2xsxIMKkDjeBuPqFPoRXZ1y/h+x8TWtzFFqMWjwWKbpHNnPLJLNIR1cugznJJOc5ArqK3xkryjG6dla9799/60VkKIVkaB/q9R/6/wCb/wBCrXrI0D/V6j/1/wA3/oVcT+JCfxI16patYHVNJurEXMtsZ4ynnRY3Ln0zxV2s7XbG71LRp7WxvZbK4cqUmibawwwJGcHGQCM4OM9D0ral/EjrbVa9vMp7HN2kMf8AwsiH7P8A6DHb6a0bROgja9ywwwUcFUx16gtjGDXa1zE+iX2reMtI1q7RLWDSophHGsm95ZJQFOcDAUAcdyewrp66MXNS5LO75dfJ3fXrpr5Xt0FHqFFFFcZQVHNNHbwPNK22NFLMfQVJUF3Zw31uYJw5QsrfJIyEEEEEFSCOQKcbXXNsByth9oPxOkkuSweXRg4iJ4iHnEBfrgDPvntiuxrkLfwzqEHjv+2AENiLUWyq2pzvJkOW3EEYIwcbCcV19deMlGUouLvov63ZMQrJ0X/j61n/AK/z/wCio61qydF/4+tZ/wCv8/8AoqOuGW6FL4ka1VNVjebSL2KNS0jwSKqjqSVOBVuqerWT6lpN1ZR3Etu80ZRZYnKsp9QRyPwrWm0ppvuWzmdC0rw/4X1WztodGawur5GS3lklMuSo3NHksdhxk4HBx7Yrsq5u40e81XW9HubuNLe20pmlC+d5jzSlCg5wPlAJOTyTjgV0ldGLn7Rxm5Xk1rrfq+uvSxMVYKKKK5CgrE8YavLoPhDVdUgx51vbs0eRkBzwp/Mitus7XtJi17Qb7SpmKR3cLRFwMlSRwfwOD+Fa4dwVWLqfDdX9L6id7aHPWUNhZXvhwXUVxbzybzbz+Z/x8ymM7vO7lmG5hnPI6g8V2VcvJouoareaC2opDDHpUnnu0cm7zpQhRdvAwvzEnPPQY711FbYuSk4u93Z369X/AMOKIUUUVyFBVe/tFv8ATrmzdiqXETRMw6gMCDj86sUU03F3QHC23gbwsviOOGw0qOL+zik8zCRz85yUTBYjtuP/AAHsTXdVg+HNJvdOvtfub542a+1Fp4SjZ/dBEVQfQjaeK3q6sZWnUmlKblZLVu/S7/EmKsFFFFchQVFdJJJaTJDKIpWjYJIRnYccH8Klqnq1h/amjX2n+aYvtVu8PmKMlNykZ/DNVC3MruwHA6D4ggvtT0fSbvT00nV4nLif/lneIoIY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+![md5:1de27d96daadddccfdcbd38ca790caa0](1de27d96daadddccfdcbd38ca790caa0.jpeg) Claim — If the \((k + 1)^{\mathrm{st}}\) tower grows arbitrarily high, so does tower \(k\) . In fact, there exists a constant \(C\) such that \(h_{k} \geq h_{k + 1} - C\) at all times. @@ -228,7 +228,7 @@ For example, in the figure below, we illustrate how \[S(34) = (9, 11; a_{34} = 1) \longrightarrow S(36) = (9, 12; a_{36} = 2)\] 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) +![md5:f254ace49d8cc65ed775fdb4e197789a](f254ace49d8cc65ed775fdb4e197789a.jpeg) The final element \(a_{n}\) simply reminds us which tower was most recently incremented. At this point we can give a complete description of how to move from \(S(n)\) to \(S(n + 2)\) : @@ -289,7 +289,7 @@ Proof. The first part is true since \(\triangle BTC\) is the image of \(\triangl We thus delete \(K\) and \(L\) from the picture altogether; they aren't needed anymore. 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+![md5:6ce8a585844b3d592c5d01d43ff6e787](6ce8a585844b3d592c5d01d43ff6e787.jpeg) @@ -326,7 +326,7 @@ Surprisingly the answer is \(n = 3\) for any grid size \(s\times (s - 1)\) when Case where \(M_{1}\) is not on the edge. In the first case, if that monster \(M_{1}\) is not on the edge of the row, then Turbo can trace two paths below it as shown below. At least one of these paths works, hence three attempts is sufficient. -![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEWAPUDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2PxVrlxoOnW0tnaxXN1dXkNnEk0pjQNI4UFiFJwPYGqn2nx3/ANArw5/4Mp//AIxUPj//AI9NB/7D1j/6NFdbQBzH2nx3/wBArw5/4Mp//jFH2nx3/wBArw5/4Mp//jFdPRQBzH2nx3/0CvDn/gyn/wDjFH2nx3/0CvDn/gyn/wDjFdPRQBzH2nx3/wBArw5/4Mp//jFH2nx3/wBArw5/4Mp//jFdPRQBzH2nx3/0CvDn/gyn/wDjFH2nx3/0CvDn/gyn/wDjFdPVJ9Y0yO4e3fUbRZ0zvjM6hlwMnIzkYHNAGL9p8d/9Arw5/wCDKf8A+MUfafHf/QK8Of8Agyn/APjFdMCCAQQQehFLQBzH2nx3/wBArw5/4Mp//jFH2nx3/wBArw5/4Mp//jFdPRQBzH2nx3/0CvDn/gyn/wDjFH2nx3/0CvDn/gyn/wDjFdMWVSASAScDJ6mloA5j7T47/wCgV4c/8GU//wAYo+0+O/8AoFeHP/BlP/8AGK6eigDmPtPjv/oFeHP/AAZT/wDxij7T47/6BXhz/wAGU/8A8Yrp6KAOY+0+O/8AoFeHP/BlP/8AGKPtPjv/AKBXhz/wZT//ABiunooA5j7T47/6BXhz/wAGU/8A8Yo+0+O/+gV4c/8ABlP/APGK6eigDmPtPjv/AKBXhz/wZT//ABij7T47/wCgV4c/8GU//wAYrp6KAOY+0+O/+gV4c/8ABlP/APGKPtPjv/oFeHP/AAZT/wDxiunooA5j7T47/wCgV4c/8GU//wAYo+0+O/8AoFeHP/BlP/8AGK6eigDyjxn8VNd8A3FpDrPh/Tp2u0Z4zZ6g5ACkA53RD1FFch+0l/yFdA/64Tf+hLRQB6z4/wD+PTQf+w9Y/wDo0V1tcl4//wCPTQf+w9Y/+jRXW0AFFFFABRRRQAUUUUAB5Bwce9eQrrY0XwlJ4Q8c6Bf29qY2tZNYih860l3E4mZhyrEndyM554r1uVS0TqpwxUgfWuXbT/EFz4O/sK+gsprqay+yzXfmkx8ptZypGSeScdDjqueACG/1TV4PHWj6XZQWktm+nzzKWumTzCpiGThCBjdx1zk9Mc7V9q91BqUlla6c8zx2v2lpZGaOJssQEV9pBfjoccEfhnXnh27t9W0W+0tonGn2M1iUnkKna4j2vkA5IMYyPf2wWy+H79vE01/OLbUbU2sUNqt05/0WRd299m0hi2VO7g/LjpzQAXnjWKPw/ouuWVk91Y6pLBGAZNkieaQF+XBDHJwRkVT8Sa9r8FtpSppUVq1xrMVo/mXf31D5UqVU/K+3nOCBn5TmqcPhDxDa+EtE0WNtOlOl3dtKC9w6BkgkDA8Rk7mxyOi+prpPEekXesWOmvD5K3dlfQXvls52OUPzLuxnoTg4644FAFXxBcxwXvhuTUtHt7iSTUFijkW4JNrMythl+UbhgN6duKmh8RXtx4l1TQ49Mj8+yiimWRrkhJI5N4GTsyrfJ0wep545r65o+t6imimBbJ3s9SF9N59y68DfhFxGc4DgZOPu9Kfa6XrNr4y1nWBBYPb3ltBDCv2pw4MRkILDy8DPmdicY70ALH4ztZ/DujapBbSM+rzJb20DkKRIwYkM3OAuxskZ6cA5qzpGv3GqapfWTWCRGwlMFywn3bX2K67RtGVKuOeCMHIrk00bVNK8KeHvDdxBYS6ml2XgAuJBC4QO5JkCq6MA2RtBOV9M43vDtxd6drEmi6hpVpa3FzFJfCe0vHuBLhkRjIXVWDfMmM5BAIB+XFAGj4p11/DWhS6sLQXMUDL5yeZsIUsFyPlOSMjjioZ/Ek9liO90qSC4uLtLWxj85W+0syb85H3QoDbsjjacbuMnjTSdQ13wvdaZpotvPnKDdcysiqAwbPyqxPTGPejW9EutXTSb5fIh1LTLoXMaeYWib5WRkLbQcFWPO3g44NABdeI7i0u7nT204PqaWpvIII58rcRqQGCsVHzAkcEfxLz1xSsPGpvrjw2gsYli16BpoJBdZ2bV3lSNvLbT27gjtzdg0W6uvFsev34iiNtaNa20ETl8b2DO7MQOflUAD3OecDCHgS+ttLvYbO8gS5g1AXekMykrboJDJsb6mSVDj+Er6UAdXo2o3WpW801zYi0CTPEgEwk8wKxUtwBgEg49q0qhtLaOzs4bWLPlwosa5OTgDHNTUAFFFFABRRRQAUUUUAfPP7SX/IV0D/rhN/6EtFH7SX/IV0D/AK4Tf+hLRQB6z4//AOPTQf8AsPWP/o0V1tcf8RY7mTSdJ+xmL7Sus2bRednZu80Y3Y5xn0qyT462jC+Hd3f5p8fyoA6eiuaz438wfL4e2d/mmz/KkB8c7Wyvh3P8OGn/AMKAOmormCfHW0YXw7u7/NPj+VRXF141t5oA0fh8pLIIxhpsgkE+ntQB1lFcyD452tlfDuf4cNP+vFBPjnYML4d3d/mnx/KgDpqK5rPjfzB8vh7y+/zTZ/lSA+OdrZXw7n+HDT/rxQB01FclcXXjeBrWMx+Hi88pj+9NgHazenopqxnxv5g+Xw95ff5ps/yoA6WiuZB8c7Wyvh3P8OGn/XikJ8dbBhfDu7v80+P5UAdPRXNZ8b+YPl8PbO/zTZ/lVeW68cQzQQtH4eLTsVQhpsDCluePagDp7m1t7yLyrq3injyDslQMMjocGm2thZ2Rc2trBAXxvMcYUtjpnHWsAnx1sGF8O7u/zT4/lTs+N/MHy+Htnf5ps/yoA6WiuZB8c7Wyvh3P8OGn/XikJ8dbBhfDu7v80+P5UAdPRXJyXXjWO/t7cx+HyJgxBDTcbQM9vepgfHO1sr4dz/Dhp/14oA6aiuZJ8c7BhfDu7v8ANPj+VLnxv5g+Xw9s7/NNn+VAHS0VzIPjna2V8O5/hw0/68VBJdeN0uoLby/D3mSo753TYAUqPT/aoA62iuaz438wfL4e2d/mmz/KkB8c7Wyvh3P8OGn/AF4oA6aiuZJ8c7BhfDu7v80+P5UufG/mD5fD2zv802f5UAePftJf8hXQP+uE3/oS0VR+O0Ouy6horaydOVhFKI/sZcjGVznd+HSigD3Dxnv+x6Rs/wCgxZ5+nmrXSVzXjQA2ej5bGNZsse/70V0tABRRRQAVVvPO32vkjI88eZwD8uDn+lWqpagqs9lukCYuVIyCdx2txQBdoorkPiB4wk8J6ZD9ljSS9umZY9/RABy2O/Uce9TOahFylsRUqRpxc5bI6+ivFvC/xU1htbt7bWHiuLW4kWMvsCGLJxu4HI55Br2moo1o1VeJnQxEK6vAq3fn/aLLyhlPPPm8DhfLf+u2rLMFUsxAUDJJPAFU75Va604tIEK3JKgg/OfKkGPyJP4ValkSGJ5ZDtRFLMfQDrWp0JXY23ure7QvbTxTKDgtG4YA/hSXF5a2m37Tcww7vu+Y4XP0zXMeG1/s/XtbjuP3bTQ299ID2ZlYOfzWnRxnUPiBHLKv/HhYmTB/5ZtK2FU++1GP1Y1kqjaXe53ywcY1JK/upXv6pNL72lc6uqtz532uy8sZj8xvM4HA2Nj9cVJBd29y0iwTxStGcOEcNtPocdKgvFVr/T2aQKVlYqpB+b923/661OBpp2ZdoorhfiL43n8Lw29pp6Rm9uVZt78iJRxnHck5x9KipUjTjzSMqtWNKDnLY7qivIfBXxN1S916303WWiniunEaShAjRseg44IJwPxr16ppVo1Y3iTQrwrR5oFWbzv7Qtdg/c4fzDgccDFWqpXCqdVsmMgVlWTCYPzcD+VXa1NgooooAKqyed/alttH7jypN5wPvZTb/wCzVaqlMqnWbRjIAwgmATBywJjyfwwPzoAu0UUUAFFFFAHhP7Qnm/b9B2Djypu3ulFN/aGVTqGg5cD91Nxj3SigD1PxoVFno+4E/wDE5ssc9/NFdLXN+M932PSNoz/xOLLPGePNWukoAKKKKACqWoGMPZeYhbNyoXBxg7W596u1VvfN32vlJuHnjf8ALnC4PPt25oAtVyXj7we3izS4Vt5UjvLZmaIuPlYEcqT2zgc+1dbRUzgpxcZbEVKcakXCWzPCvAHgS41fVBqF1JGlnYXWx0+80kiEHb9ORk17rXE/DL/kEav/ANhaf+SV21YYWnGFNNdTnwVKMKScepSvjGLrTg6FmNyQhBxtPlScn14yPxpmsRX1xYtb2UVu5l+WTz5WQbMjIGFbJIyPaprvzftFj5abl88+Ydudq+W/PtzgZ98d6tV0NXVjuhPkkpWvYxpdHml8RLqpdABaCFoMnDurllycdASe3+FM0XTr+11TVr2/S23XsquphlZtqKoVVIKj3Ofetyip5Fe5q8TNwcH1Vvknf9DA0e6tpPEmuJFPEzGSEhVcE4EYBrSvDGL/AE8MhLGVthBxtPlt+fFXaq3Pm/bLLYm5PMbzDtztGxsc9ucU4qysRWqKpLmStol9ySLVcP8AETwTL4otoLuykRL21VgFfgSqecZ7Ec4+tdxTJf8AUv8A7ppVIRnFxkc1WnGpBwlseMfDLwTLfXdr4iuZEW0gkLQxjlndcjJ9ADz+Fe1Vxfwr/wCRCtP+ukv/AKGa7SssLCMKSt1McHTjCiuXrqUrgxjVbEMhLlZNrA8DgZ471dqrP5v9o2mxMxYfe23OOBjntVqug6gooooAKpTGMa1aKUJkME21s8AZjyMfl+VXaqy+b/alttTMPlS7229DlMDPbv8AXHtQBaooooAKKKKAPB/2hig1DQdyknypu+O6UUv7Qnmfb9B2rkeVN2z3SigD1DxwHbT9KEboj/2xZ7S4JGfNGOBW0yap5SBZ7MSZO8mFsH0wN1Y/jTb9j0fcD/yGbLGPXzRXS0AVdt/9pB8628jjK+U27pzzux19qYqan5cm+ezL4GwiFgBzzn5ueKu0UAUmTVPKQLPZiTJ3kwtg+mBuqvex3jXdmXubZIROpC+WwZjtORnOPXtWrVLUDGHsvMDE/aV27TjB2t19qABU1PZJvnsy+BsIhYAc85+bnihk1TykCz2YkydxMLYI7YG6rtFAHA/DRbw2GqFJIBB/as29WjJYnC9DnA7dq7FU1PZJvnsy+BsIhYAc85+bniuW+GX/ACCNX/7C0/8AJK7asaH8NGGG/hRMe9i1Bn07N1aJMtwx5ifDny3wAN3pk9e34G9tv/tIPnW3kcZXym3dOed2OvtTL4xi607zAxY3J2YOAG8qTr7Yz+lXa2Nykqansk3z2ZfA2EQsAOec/NzxQyap5SBZ7PzMncTC2CO2Bu+tXaKAKu2/+0KfOtvI4yvlNu6c87sdfaqFzFqRurMvd2QkEjeWPJcBjsbPG7nj6Vs1SvDH9v0/eGL+a2wg8A+W2c/hmgAZNU8pAs9n5mTuJhbBHbA3fWiVb/ex8628jbyvlNu6c87sdfartMl/1L/7poA4b4YLenwJB5Mtuql5PL3xkkHec5wwz+ldeyap5SBZ7PzMncTC2CO2Bu+tcx8K/wDkQrT/AK6S/wDoZrtKyofwo+hhhv4MPRGVPHeHWbN2ubYRgPiPy23NwM98f571YVNT2Sb57Qtj5CIWABz3+bnii4Mf9q2IYMZNsmwg8DgZzV2tTcpMmp+UgWez8zJ3Ewtgjtgbqftv/tCnzrbyONy+U27pzzux19qtUUAUlTU9km+e0LY+QiFgAc9/m54qpNFqB1CzIurMXAimBUxPhlJToN3bHr3rYqlMY/7atAQ3meRNtIPAGY85H5frQA/bf/aFPnW3kcbl8pt3Tnndjr7UxU1PZJvntC2PkIhYAHPf5ueKu0UAUmTU/KQLPZ+Zk7iYWwR2wN1P23/2hT51t5HG5fKbd05wd2OvtVqigDwD4+Jd/btD+1T25PlzbfLRl7r1yTRU/wC0Ns/tDQdwbPlTdD7pRQB6n4zz9j0jC5/4nFlnjOB5q810tc140BNnpGGA/wCJzZdT1/erxXS0AFFFFABVS9Mge02Rh/343ZXO0YPPt9at1TvlLPZ4lVMXAJycbuG4HrQBcooooA8x8D+KdE0Sy1a11LUI7edtTmcIwYkqQozwPUGuo/4WD4U/6DMH/fLf4VryaJpMsjSSaXZO7HLM1uhJPqTim/2Bo3/QJsP/AAGT/CueEKsFypo5YU60IqKa08n/AJmDdfEDwyZ7Ix6rbuomJkJRjsXY/I44OcD8as/8LB8Kf9BmD/vlv8KtXmgaQbmw26dp8Y887lMCjePLf5enPODj2q3/AGBo3/QJsP8AwGT/AAqrVu6/H/Mu1fuvuf8AmTabqllq9mt3p9ylxAxIDp6jqKt1xPwuAXwrOAAAL6YAD8K7arpyc4KTLozc6ak+pzcnj7wtFI0bazBuUkHAY8/UCqlz8QPDJu7MpqtuyCRi7FGJUbGwRxxzgfjWZ8MtK0678I+bc2FrNJ9plG+WFWOM+pFdNdaBpH22x26dp6DzG3IYFG/5G4xjn1/CsoSqzipaa+pjTlWnBTVtfX/Mq/8ACwfCn/QZg/75b/CmyfEDwqY2A1mHJB/hb/Ctf+wNG/6BNh/4DJ/hR/YGjf8AQJsP/AZP8Kq1Xuvx/wAy7V+6+5/5nOfCv/kQrT/rpL/6Ga7So4IIbaFYYIkiiX7qRqFUfQCpKunHkgo9i6UOSCj2RUnMn9pWgWMMmJNz7c7eBjntmrdU7hSdTs2EqqAJMoTy3A6DvirlWaBRRRQAVUlMn9rWwEYMfky7n252nKYGe2eeO+PardU5VJ1e1bzVAEMoMeeW5TnHt/WgC5RRRQAUUUUAeEftCl/t+g7UDDypudue6UUn7QoJv9Bw4X91NwT7pRQB6n402/ZNH3Z/5DNljHr5orpa5jxx5h0/ShFtDnV7MBmXcFPmjnGR/OtpotTMSBby1EgJ3MbViD6YHmcfmaALtFVfLv8A7SG+1W/kcZT7Odx45+bf6+1MWLUxHIGvLUuQNhFqwC885Hmc8fSgC7VLUPK32Xmb8/aV2bcfe2t19utDRamYkC3lqJATuY2rEH0wPM4/M1BeLfLd2jb7eSEzqCn2c7l+U5bdu4/LvQBqUVSWLUwkga8tS5A2EWrALzzkeZzx9KGi1MxIFvLUSAncxtWIPpgeZx+ZoAu0VV8u/wDtIb7Vb+RxlPs53Hjn5t/r7UxYtTCSBry1LkDYRasAvPOR5nPH0oAL7yvtWneZv3faTs24xu8qTr7Yz+OKu1kXiakG09RNavIZ2DSG1YhPkYhgN/HQjr/F+d3y7/7SG+1W/kcZT7Odx45+bf6+1AHKfC//AJFe4/6/pv5iu1rgvhml4fC935VxCmbyULuhLYORkn5hke3H412DRamYkC3lqJATuY2rEEdsDzOO/c1lQ/hRMMN/Bj6HLfCr/kTB/wBfUv8AMV1N55f2/T9+/f5rbMYxny2zn8M1xvwtS8PhZWS4hWD7TJujMJLHn+9u4/KunuI9UW5tFM9pIzSNtk+yN+7+Ruf9Z36dutLD/wAKPoGF/gx9DYoqk0WpmJAt5aiQE7mNqxBHbA8zjv3NP8u/+0K32q38njKfZzuPHPzb/X2rY3LVFUli1MJIGvLUuQNhFqwC89x5nPH0oaLUzEgW8tRICdzG1YgjtgeZx37mgAuPK/tWx3b/ADNsmzGMdBnNXay5lvhrFnl7d4SGyfs53LgDPzbuMn2/Op1i1MJIGvLUsR8hFqwCnPceZzx9KALtFUmi1MxIFvLUSAncxtWII7YHmcfmaf5d/wDaFb7Vb+TxlPs53Hjn5t/r7UAWqpTeX/bVpu3+b5E23GMYzHnP6frQsWphJA15aliPkItWAU57jzOePpVWZNS+3WiCa1MvlylpzasQBlMKBv4z9e1AGvRVXy7/AO0K32q38njKfZzuPHPzb/X2pixamEkDXlqWI+Qi1YBTnuPM54+lAF2iqTRamYkC3lqJATuY2rEEdsDzOPzNP8u/+0K32q38njcn2c7jxz82/jn2oA8R/aG2f2hoO7dnypun1SioPj4t4l9of2mSCbMc20xwFMcr1yxzRQB614zz9j0jDY/4nFlnnGf3q8V0tc1402/Y9H3Z/wCQzZYx6+aK6WgAooooAKqXwcvabJQmLgbstjcMHj3+lW6pah5e+y8wuD9pXZtH8W1uvt1oAu0UUUAFFFFAFS8Dm5sNkoQC4O4Fsbx5b8e/ODj2z2q3VK+8r7Vp3mFw32k7No4LeVJ19sZ/SrtAHFfC/wD5Fe4/6/pv5iu1rivhf/yK9x/1/TfzFdrWVD+FEww38GPocT8Kv+RMH/X1L/MV1d0HN7YlZQqiRtylsb/kbjHf1/CuU+FX/ImD/r6l/mK6m88v7fp+8vv81tmBwT5bZz+GaWH/AIUfQML/AAY+hdooorY3CiiigCpOHOpWZEoVAJNybsFuBjjvirdUrjyv7VstxfzNsmwAcdBnNXaACiiigAqpKH/ta1IlAQQy7o92CxymDjvjn6Z96t1Sm8v+2bTcX83yJtoA4xmPOf0/WgC7RRRQAUUUUAeEftChvt+g4cKPKm43Y7pRSftDbP7Q0HcWz5U3T6pRQB6n40OLPSPlB/4nNl17fvV5rpa5vxnu+x6RtOP+JxZZ5xkeatdJQAUUUUAFU79tr2f7pXzcAcg/L8rcirlVL3zd9p5cmweeN/zY3Lg8e/bigC3RRRQAUUUUAU71ttzp48pX3XBGSD8n7t+R/L8auVUu/N+0WPlybV88+YN2Ny+W/Hvzg49s9qt0AcV8L/8AkV7j/r+m/mK7WuK+F/8AyK9x/wBf038xXa1lQ/hRMMN/Bj6HE/Cr/kTB/wBfUv8AMV1V22L6wHlq26VhuIOU+RuR/KuV+FX/ACJg/wCvqX+Yrq7rzftllsfanmNvXdjcNjY4784NLD/wo+gYX+DH0LdFFFbG4UUUUAU7hsapZL5StlZPnIOV4HT61cqpP5v9o2m2TEeH3ruxu4GOO9W6ACiiigAqnK2NYtF8tTmGU78HK8x8fj/SrlVJfN/tW22yYi8mXcm7qcpg474557Z96ALdFFFABRRRQB4P+0K2L/QfkDfupuT9Uopf2hN/2/Qdr4HlTfxY7pRQB6f44Utp+khZPLc6xZ7W27sHzRjittre/MSKL9A4J3N5A+b04zxWP40IFno+VznWbL8P3q10tAFXybz7SH+2L5XGY/JHPHrmmLb34jcNfozEDa3kAbefTPNXaKAKTW9+YkUX6BwTubyB83pxniq19BN9rsnlvMRi4XbGIRy2098/WtaqWoMqvZbow+blQMk/Kdrc0AC29+EkDX6MxA2t5AG3n680Nb35iRRfoHBO5vIHzenGeKu0UAVfJvPtAf7YvlDGY/JHPHrmmLb34SQNfozEDa3kAbefrzV2igDHvre5Mmmq9+BMLhtjC3BDN5b9Rnjjd+lXvJvPtAf7YvlDGY/JHPHrmmXzKt1pwaMOWuSAST8h8qQ5H5Y/GrtAHBfDOK6bwvdeXdKmbyULmLO05GT15zXYNb35iRRfoHBO5vIHzenGeK5f4X/8ivcf9f038xXa1lQ/hRMMN/Bj6HAfC2K5PhZXW5VYRcyZj8rOefXNdLc2139rshLqI80yN5RFuMA7Gznn0zWH8Kv+RMH/AF9S/wAxXU3jKt/p6mMMWlYBiT8v7tuf6UsP/Cj6Bhf4MfQGt78xIov0Dgnc3kD5vTjPFP8AJvPtCv8AbF8oYzH5I5455zVqitjcpLb34SQNfozEDa3kAbefrzQ1vfmJFF+gcE7m8gfN6cZ4q7RQBlTwzf21ZO950D7IxCMHgbuc1YW3vwkga/RmI+U+QBt5+vNFwyjVLJTGGZlkw+TleB/OrtAFJre/MSKL9A4J3N5A59OM8U/ybz7Qr/bF8oYzH5I5455zVqigCktvfhJA1+jMR8p8gDbz9eaqT29ydRs1OoAXIimw32cEMuY89+O1bFUpmUazaIYwWMExD5OVwY+Pxz+lAD/JvPtCv9sXyhjMfkjnjnnNMW3vwkga/RmI+U+QBt5+vNXaKAKTW9+YkUX6BwTubyBz6cZ4p/k3n2hX+2L5QxmPyRzxzzmrVFAHz/8AH2GaO/0P7TdeaTHNt2xBcDK+9FWP2hmAv9BygP7qbk/VKKAPVPGe/wCx6RsOP+JxZ557eatdJXNeNAps9Hycf8Tmyxx1PmiuloAKKKKACqt552+18lsDzx5nIGVwf/rVaqlqCoz2W9ymLlSvy53Ha3HtQBdooooAKKKKAKt3532iy8psJ5580ZAyvlv+fO2rVUr5Y2utOLuVIuSUG3O4+VJx7cZP4VdoA4r4X/8AIr3H/X9N/MV2tcV8L/8AkV7j/r+m/mK7WsqH8KJhhv4MfQ4n4Vf8iYP+vqX+YrrLnzvtdl5bYj8xvMGQMjY2PrziuT+FX/ImD/r6l/mK6m8VDf6eWcqwlbau3O4+W3ftxSw/8KPoGF/gx9C7RRRWxuFFFFAFWfzv7QtdjYiw/mDI54GOO/erVUrhYzqtkzOQ4WTau3O7gZ57VdoAKKKKACqsnnf2pbbW/c+VJvGRy2U28f8AfVWqpTKh1m0YuRIIJgqbeozHk57Y4/OgC7RRRQAUUUUAeE/tCeb9v0HYcDypu/ulFN/aGCHUNB3Pg+VNxjPdKKAPU/GhAs9Hyuc6zZY56fvRXS1zPjdZX0/S1icox1ezG4AEj96Oea2WtLsxIo1KYMCcv5aZb9O1AF2iqv2a5+0iT7dJ5YxmLYmDx64z70xbS7EbqdSmZmA2sY0+Xn6UAXapagyK9lvj35uVC842na3NDWl2YkUalMGBOX8tMt+naorq3vhdWskV5I0fmqJI9iY27Tk5xnr/ADoA0qKpLaXYSRTqUrMwG1jGny8/T+dDWl2YkUalMGBOX8tMt+mOKALtFVfs1z9oEn26TyxjMWxMHj1xn3pi2l2EkU6lKzMBtYxp8vP0/nQAXzIt1pwaPcWuSFOcbT5Uhz78Aj8au1lXVrqGbJIr+X/XN5snlx527Gxxj1AH41b+zXP2gSfbpPLGMxbEwePXGfegDlPhf/yK9x/1/TfzFdrXBfDOCd/C91svJI83koGEU7SCMnkd67BrS7MSKNSmDAnL+WmW/TtWVD+FEww38GPoct8Kv+RMH/X1L/MV1N4yC/08NHuZpX2tnG39235+lcb8LYJ28LLIt5IsYuZMxBFwefXGa6ie01Fbi2VNSmZWc728uP5Btb29cUsP/Cj6Bhf4MfQ16KpNaXZiRRqUwYE5fy0y36dqf9muftCyfbpfLGMxbEwePXGa2Ny1RVJbS7CSA6lMzMBtYxp8vP0oa0uzEijUpgwJy/lplv07UAFwyDVbFTHlysm1s/d4GeO9XazZYL0arast3IbfDeYmxMcAY5xnk5qVbS7CSA6lKxYfKxjT5efp/OgC7RVJrS7MSKNSmDAnL+WmW/THFP8As1z9oWT7dJ5YxmLYmDx64zQBaqlMyDWrRTHlzBMVfP3RmPIx78flQtpdhJAdSlYsPlYxp8vP0/nVeW11A3drGmoShBHKZJfLjyTlNoxj60AatFVfs1z9oWT7dJ5YxmLYmDx64zTFtLsJIDqUrFh8rGNPl5+n86ALtFUmtLsxIo1KYMCcv5aZb9McU/7Nc/aFk+3y+WMZj2Jg8euM80AeI/tDMo1DQcpk+VNzn3Siofj3Ddw32h77p5wY5sFkUY5T0AooA9Z8aAG00fLYxrNljjr+9FdLXNeNCBZ6PkZ/4nNljnofNFdLQAUUUUAFUtQVGey3ybMXKleCdx2txV2qWoNGr2W9C2blQuGxtO1ufegC7RRRQAUUUUAUr5Ua604tJsK3JKjGdx8qQY9uCT+FXaz9Tnt7eWxludqos7HzGfaseIpCWPtgH8/ar0ciTRrJE6ujDKspyCPY0AcZ8L/+RXuP+v6b+Yrta4f4aTRW/hG7mmkSOJL2Zmd2AVRxySeldjBe2t07pb3MMzIAWWOQMVB6E46ZrGg17OJz4Zr2UV5HIfCr/kTB/wBfUv8AMV1N4qG/08tJtZZW2rjO79235etct8Kv+RMH/X1L/MV0lxd2kmq2kCvHLPHKwZUkGYiY2+8PcA9aKH8KPoPDfwY+hpUUUVsbhRRRQBSuFQ6rZMZNrqsm1Mfe4GefartUrhoxqtkrIS5WTa27G3gZ471doAKKKKACqUyodZtGMmHEEwCY+8Mx5Ofbj86u1SmaMazaKUJkMExV93QZjyMd88flQBdooooAKKKKAPB/2hlU6hoOXwfKm4x7pRR+0MVGoaDuXJ8qbv7pRQB6p4z3/Y9I2jP/ABOLPPHbzVrpK5rxoAbPSMsBjWbL8f3q10tABRRRQAVVvfO32vlLkeeN/wAoOFwefbtVqqWoKrPZZkCYuFIzn5jtbigC7RRRQAUUUUAUtQiadrSIwrLA8pWdXQMChjfrntnA/H3rmb3R7jwfv1Xw8JHsFO+70vcSpXu8WfusOuOhrpr5Va604mQIVuCQDn5z5UgwPzz+FXaicFL1M501P17nj3gp7/xFotxoFjm3sHnkkvrwqCSj9I0B43EA5PYV00vh5vAm/VvDySS2QUfb7FzuZ0X+NGPIYZJx0PPSus0nRrHQ7R7XT4BDE8jSlR/eY/8A6h9AKvkAggjINYww9ormevfsYU8LywXM/eXXt6f1qeQ+ApdU1rQ/7E06WSys0meS9vl+/hjxHH6MRyT2/n6FYaFZ6C1nBpVoscTSE3EmNzv8jYLMeep/WrukaNY6HZG00+ERQmRpCo9WOT/h9AKddqrX2nsZApWViFOfm/dtwP51VGlyRXNqy6FD2cVzatf1oXaKKK3OgKKKKAKs/nf2habFzFh/MO0ccDHParVUrhVOqWTGQKVWTCHOW4H8qu0AFFFFABVWXzv7Uttq5h8qTe20cNlNvP8A31VqqUyqdZtHMgDCCUBOctkx8/hj9aALtFFFABRRRQB4T+0J5n2/QdgyPKm7Z7pRTf2hlBv9By4H7qbg/VKKAPSPiKskmlaPFFcSW7y61ZIJYgpZMyjkbgRke4Iq9/wjWo4x/wAJlr3/AHxZ/wDxiqnj/wD49NB/7D1j/wCjRXW0Ac9/wjeo5z/wmOu/98Wf/wAYpP8AhGtR5/4rLXv++LP/AOMV0VFAHO/8I1qOMf8ACZa9/wB8Wf8A8YpkvhS9maNpPF+usY3Dr8tpwcYz/qPc10tFAHO/8I1qPP8AxWWvf98Wf/xij/hGtRxj/hMte/74s/8A4xXRUUAc9/wjeo5z/wAJjr3/AHxZ/wDxik/4RrUef+Ky17/viz/+MV0VFAHNSeFL2VomfxfrxaJ96HbacHBGf9R6E/nUn/CN6jnP/CY69/3xZ/8Axiuhqjda1pVjcC3u9Ts7ecjcI5Z1RseuCc0AZf8AwjWo8/8AFZa9/wB8Wf8A8Yo/4RrUcY/4TLXv++LP/wCMVvxzRSlxHIjmNtrhWB2nAOD6HBB/EU+gDnv+Eb1HOf8AhMde/wC+LP8A+MVE/hS9kkjkfxhrxeIlkO204JBH/PD0Jrpqrpf2ct7JZR3cD3cS7pIFkBkQcclc5A5H50AYv/CNajjH/CZa9/3xZ/8Axil/4RvUc5/4THXv++LP/wCMV0NFAHO/8I1qPP8AxWWvf98Wf/xij/hGtRxj/hMte/74s/8A4xXRUUAc03hS9eeOZvF+umSPIU7LTjPX/lhT/wDhGtR5/wCKy17/AL4s/wD5HroqKAOd/wCEa1HGP+Ey17/viz/+MUv/AAjeo5z/AMJjr3/fFn/8YroaKAOd/wCEa1Hn/iste/74s/8A5HpjeFL1p45j4v17zI1ZVbbacBsZ/wCWH+yK6WigDnv+Eb1HOf8AhMde/wC+LP8A+MUn/CNajz/xWWvf98Wf/wAj10VFAHO/8I1qOMf8Jlr3/fFn/wDGKX/hG9Rzn/hMde/74s//AIxXQ0UAfNnx7s7vS9S0RJtYvtQ3wykG7WEFOV6eXGn65oq7+0l/yFdA/wCuE3/oS0UAes+P/wDj00H/ALD1j/6NFdbXJeP/APj00H/sPWP/AKNFdbQAUUUUAFFFFABRRRQAUUUUAY3i3V5dB8Iavq0CB5rS0kljBGRuCnGfbOKpeCrO307wVp9zNIrTXdtHdXl1KRumkdQzMzHrycDPQYFdBeWkF/ZT2d1EstvPG0UsbdGVhgg/ga57RNO1jw9pkWieRBqVjbJ5VrcNNsfyx91JVKkfKMDcuc4+6KAILB9F8F6Rrl7FdRSWLXZuxFbsHZDIEQRgZ6lwQo4HIHGK1X1ySy1DT7TVLRLY6gxigeObzF80KW2N8owSA2MZB2n2zzVn8O3TwnrukXFzbxz6lqTajHLBH8sLlkkVcHGQrrj3X0zxtXmjahrmp6NPqaW1vb6Zcfa9kErSGWYIyryVXCjex9ScdO4Akvi026w3F1p0sFnNqH9nq8hKyhy/lq+wqPkLY5BPDA+uIXUD4tQnAydDfJ/7bpWQ3grV5NDjtphYT6rFqEd6+oSyMWutk4kVSdpKfKAuBkLgAZHTag0jW18aW2r3AsXt0037HKwnYSM5ZXLBfLxjIIxn39qANnWr+bS9FvL+C3W4e2iaUxNJ5e4KMnnB5wD2rGj8Y+Xoj61f6ZNbab9khuYZhIrmUyHAjC8ENkrjPHzjkHIGvr1rdX2gX9nZLC1xcQPCnnSFFG4EZJCseM+lYs/hi61X4fReH794La6ihhRJYHMqCSIqyNyqkjcgyPTvQBeudeuLC6sra+sYoZb8tHalbjchmClhG52jaSAcEAjg+2ciHx7LJpmm3r6SkK3upHTGjkuwGglDsmH+X+8pHGeq+vGheaNqGuano0+ppbW9vplx9r2QStIZZgjKvJVcKN7H1Jx075154FkurnxIBdIlrqS+daIAc290yruk/wC+oomGO5b1oA6Ow1G6vNR1C3lsRDBaSiJJ/ODeaSobhccYDDOe+RWlVLSbWaz0uCK5ZHuiC87J91pWJZyvtuJx7Yq7QAUUUUAFFFFABRRRQAUUUUAfPP7SX/IV0D/rhN/6EtFH7SX/ACFdA/64Tf8AoS0UAes+P/8Aj00H/sPWP/o0V1tFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAfPP7SX/ACFdA/64Tf8AoS0UUUAf/9k=) +![md5:72bdf0c26992f31d328e7a49e773efb6](72bdf0c26992f31d328e7a49e773efb6.jpeg) Case where \(M_{1}\) is on the edge. WLOG, \(M_{1}\) is in the leftmost cell. Then Turbo follows the green staircase pattern shown in the left figure below. If the staircase is free @@ -335,7 +335,7 @@ Case where \(M_{1}\) is on the edge. WLOG, \(M_{1}\) is in the leftmost cell. Th of monsters, then Turbo wins on the second attempt. Otherwise, if a monster \(M_{2}\) is encountered on the staircase, Turbo has found a safe path to the left of \(M_{2}\) ; then Turbo can use this to reach the column \(M_{1}\) is in, and escape from there. This is shown in purple in the center and right figure (there are two slightly different cases depending on whether \(M_{2}\) was encountered going east or south). 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SMowFPGFBz1yMY7joLBfEFhZTQT21reyNPM0Li4KYRpGKK+VPRSoyM/TjnOXwfPp+i+GLaxkhlm0S5E7K5KLKDHIjhcA7f8AWEge2PegDdu9Uura6sLNLAyXF0juzhm8iLYASGkCHGd3GQM4P0rHu/Gyw+C7vxHBY+aLGSSO6t3m2FDG5R8MAQ2COOmR6dKdfaDqd1rGl3dz9nv7SC3kWaymlIQTsykSD5SH2gMo3AYByOaxrjwZr/8AwiGv6FA+mkajPPJEWlZFXznLkkBCRtJ2gDORzkdKALvjDxBrln4Q1i5t9KFq0YRI5pbnG5JMAsoUEh13YwcYPIJq34uuvI8Li61jRbW8iiuoWkt1ujhf3ihHBKDJDEHGB9T0q74j0i88R+D7zTX8i2vJ4xtxIXjV1YMvzbQcHAycd+9UvEuka3rnhm7soUs1ubmeKQJNctshVGRsBghJyUPYfeoAuXXiG5t/FsWgppySNcWj3ME/n4B2MisHG35fv9Rnt68QHxnaxeG7/V57aRWsbt7KWBCGJmEgjAU8ZDMy4JxwecUk2l6zJ44sdbEFgLaHT5LR0+1Pv3O0bkgeXggFCOoznPHSsG40rUtM8NazZajb2Dyavq3mWyJM8kbNLICEkJRdq/LgsMnngZwCAdNbeILybxFLosmnRJcQRxzzMtyWURPvAZfkG7DIQQcdQRmtDWr+bS9FvL+C3W4e2iaUxNJ5e4KMnnB5wD2rnNJl1DRNet7bVNIso31VjEt3a38tzIWjjZwriVAwXAbBBIBPQbs10OvWt1faBf2dksLXFxA8KedIUUbgRkkKx4z6UAY6eMimj/2ve6XPBYSW0E1tIsiu07ynasQXghslevGGGSOQLs2u3Fnf2lhe2cUVxfK4tCtwWR5FXcY2baCpwCQcEcH2znz+GLzU/Atnot49vb31mtu0MsLmVBJCVKscqpwSvIx0PWrNzo19rOu6Pfailvbw6W7zpFDKZDLMyFASSq4UBmPqSR0xyAZ0Pj2WTTNNvX0lIVvdSOmNHJdgNBKHZMP8v95SOM9V9eOisNRurzUdQt5bEQwWkoiSfzg3mkqG4XHGAwznvkVzl54FkurnxIBdIlrqS+daIAc290yruk/76iiYY7lvWuo0m1ms9LgiuWR7ogvOyfdaViWcr7bice2KALtFFFABRRRQAUUUUAclrn/JS/CX/XtqH/oMNdbXJa5/yUvwl/17ah/6DDXW0AFFFFABXLeBP+Qbq/8A2HNQ/wDSh66muW8Cf8g3V/8AsOah/wClD0AdTRRRQAUUUUAFFFFAHD+JLzWfDvjGPXYNDu9Z0uWxFrIlkA89s6uzFlQ/eDAqDj+4M9BWa+v2S+BPFviPwrGFuJGlmure5VoHtplhCtlcH5/lDY4BJ6967CSLWbfxBdXcKQXGnyQRIsBkKyK6l9zDjHIKjBx068c5dx4Tn1LSvFS3DRW13r8Ri2xncsQEXloScDce5/Ac4yQDTbVbzT/Dn26709pZlEarDaO07PuKqCfkB4LZOAcAE89KW0117jV7/R3to49RtYEuFQTbo5EfcFO7bkfMjA/LxweaztU0bXdU8Pi286G3n823Mlulw4jliQgyR7woZd/zDIHTHqajtvDupWXiuTV7G3061t5bFLY2yMV2+W7uBwmDuLkE8bQON1AE2h+KdR16zgubbQischuI2d7obI5YnK4J25KsQQGAPIPHcweC9S1bW/Bq3l9aWsj3HnsF+0sQ5Mr/ACHKfKo6DrwBxV/wZpWpaJoQ0/UktA6TzSq9tM0gYSSvJg7kXGNwHfPtUPhnRdV0DSY9PP2eVLQTrDiZgJ98m9C3y/KQODjdyTQBmaf4pt9J8C+H9Q0/QxDp1zLFai1SfLW4eQRrt+X5+T6iuhtteJ1640e9thBcRWi3gZJPMRoyzKecAggr0x3HNcvH4T8Qx+B9E0Ty9MNzYXsNxI/2uQIyxTCQAHys5OCOnHXnpWpc2up2Hi+58T3UNoNNh0owSrFO7zDaxkJC+WAfTGff2oAbF42muoNImtdKVk1pZG0/zLnaX2oZAH+U7CyqSOvviuu5xwOfSvNNNi1PwxpFhq93oumXFjaQjbJBqMrSxo+AWjiZTGGIP3VYdcAnv6Yc4OOtAHL6T4qvtUnmT+xCiWt/JY3cq3KssJRSd4yF3L933G4decL/AMJhGPD48RmzP9iH5/P8z955Wcebsx93+L72dvOM8UvhrRtSsV1qHVIbLydQvZrlfs9w7kCQAbSCi+nWs8+EtTPgceDTLb/YfK+yfbd58z7Pn/nntxv2/L97H8X+zQBaufGF1bXuu2x0lC2lWi3g/wBKA+0RNuIKfL/sMDnuAO+avWPiC51CTRzBp6Pb6jafa2mW5BEK/Ljjb82d64x7+lQap4Xa68R6PqVpKkMVrG1vdxnOZYcq6KPo6L17M3rUvhbw/NoEN3DLMkkXnMlmEz+7ttzOiH3Uuw+gX0oA6CiiigAooooAKKKKAOU+JH/Ikz/9fdl/6VRUUfEj/kSZ/wDr7sv/AEqiooAPGn/H/wCEf+w7H/6Imrq65Hx3ZPfv4agjuZ7ZzrKETQbd6Ygm5G4EfmDVs+GL8gD/AITDX+P+vX/4xQB0dFc7/wAIxf7t3/CX699P9Fx/6IpP+EYvwCP+Ew1/n/r1/wDjFAHR0Vzh8L35AH/CYa/x/wBev/xioIPDuqvdXQl8Wa8qJIFiOLb5l2KSf9T6kj8KAOqornB4XvwCP+Ew1/n/AK9f/jFB8MX5AH/CYa/x/wBev/xigDo6K53/AIRm/wB27/hL9e+n+i4/9EVXvfDmqw6fcyW3i3XpJ1jZo1ItjlgOB/qfWgDqqK5z/hF7/AH/AAmGv8f9ev8A8Ypf+EYv927/AIS/Xvp/ouP/AERQB0VFc4PDF+AR/wAJhr/P/Xr/APGKP+EXv8Af8Jhr/H/Xr/8AGKAOjqC6sbS9CC6tYZwhyvmoG2n1GehrnG8O6qNSjQeLNe8gxMzNi24YFQB/qe4J/Kpx4YvwD/xWGv8AP/Xr/wDGKAN22s7ayjMdrbwwIW3FYkCgn1471NXOf8Ivf4A/4TDX/wDyV/8AjFL/AMIxf7gf+Ew176f6L/8AGKAOiornB4Yvxn/isNf5/wCvX/4xUFn4c1WW0Vrjxbr0cu5sgC2HG4gf8sfTFAHVUVzv/CMX+4H/AITDX+O3+i//ABik/wCEYv8An/isNf5/69f/AIxQB0dFc5/wi9/jH/CYa/8AX/Rf/jFQXXhzVY2gMPizXnzKqvxbcL3P+poA6qiuc/4Ri/5/4rDX+f8Ar1/+MUf8Ivf4x/wmGv8A/kr/APGKAOjornf+EYv8g/8ACYa/x/16/wDxik/4Ri/5/wCKw1/n/r1/+MUAU/Df/I/+Nf8ArtZ/+k6119cb4P06TTvFXixJby6vHae2zPc7N7fuF/uKo4zjp2rsqACiiigDA8c/8k+8Sf8AYKuv/RTVq6Z/yCrP/rgn/oIrM8bLv8BeIl9dMuR/5CaqVl4Xvhp9uB4u15R5a8D7Nxx0H7mgDqqK5w+GL8gD/hMNf4/69f8A4xS/8Ixf7t3/AAl+vfT/AEXH/oigDoqK5z/hF7/BH/CYa/z/ANev/wAYqCTw5qovoIl8W68YDHIzvi2yGBXaM+T3Bb8qAOqornf+EYv927/hL9e+n+i4/wDRFIPC9+AR/wAJhr/P/Xr/APGKAOjornD4XvyAP+Ew1/j/AK9f/jFL/wAIzf7t3/CX699P9Fx/6IoA6KiuVs/DmqyW7G48W68knmOuMW33Q5Cn/U9wAfxqc+GL8gD/AITDX+P+vX/4xQB0dFc7/wAIzf7t3/CX699P9Fx/6IpB4YvwCP8AhMNf5/69f/jFAHR1HNBFcwvDPEksTjDI6hlYehB61zN34c1WOKLyPFuvOTKitxbHClgGP+p7DNWP+EYv92f+Ev176f6Lj/0RQBsW2mWFnKZbayt4ZCu0vHEqnHpkDp7VarnB4YvwD/xWGv8AP/Xr/wDGKP8AhF7/AAB/wmGv/wDkr/8AGKAOjornf+EYv9wP/CYa99P9F/8AjFV4vDmqm7uY38W68IVC+W2LbnOc/wDLGgDqqK5z/hF7/GP+Ew1//wAlf/jFL/wjF/uB/wCEw17jt/ov/wAYoA6KiucHhi/Gf+Kw1/n/AK9f/jFRz+GtSS1kMXi7X2kVSVGLXk44H+poA6eiuZh8Nak8MTyeLteVyoLLi1wDjn/ljT/+EYv+f+Kw1/n/AK9f/jFAHR0Vzn/CL3+Mf8Jhr/8A5K//ABil/wCEYv8AIP8AwmGv8f8AXr/8YoAqa5/yUvwl/wBe2of+gw11tcK+i3Fh8RPDss2sajqP+jXuPtflYj4i6bEXrnvnoK7qgAooooAK5bwJ/wAg3V/+w5qH/pQ9dTXA+GPD91cxatcReIdXskfWL4iC38jYP9Ifkb4mP60Ad9RXOf8ACL3+CP8AhMNf5/69f/jFB8MX5AH/AAmGv8f9ev8A8YoA6Oiud/4Ri/3bv+Ev176f6Lj/ANEVXu/DmqxW4Nv4t153MsakEWxwpcBj/qeykn8KAOqornD4YvyAP+Ew1/j/AK9f/jFL/wAIzf7t3/CX699P9Fx/6IoA6KiucHhe/AI/4TDX+f8Ar1/+MUHwvfkAf8Jhr/H/AF6//GKAOjorlY/DuqnUJ1bxZrwhVEKNi15J3bh/qe2B+dTjwvfgEf8ACYa/z/16/wDxigDo6K5w+GL8gD/hMNf4/wCvX/4xS/8ACMX+7d/wl+vfT/Rcf+iKAOiormn8M6isTlPF+vltpwD9l6/9+KZbeGtTls4Hm8Xa+krIGdQLUYYjkf6mgDaj0bS4pVlj02zSRG3KywKCreo44PvV6ud/4Ri/3Z/4S/Xvp/ouP/RFIPDF+Af+Kw1/n/r1/wDjFAHR0Vzn/CL3+AP+Ew1//wAlf/jFQS+HNVW8tlTxZrxibd5hxbfLgcf8sfWgDqqK5weGL8Z/4rDX+f8Ar1/+MUf8Ivf4x/wmGv8A/kr/APGKAOjornf+EYv9wP8AwmGvcdv9F/8AjFIPDF+M/wDFYa/z/wBev/xigDo6K5W18OarIkon8W68m2VlTAthlQeD/qasf8Ixf5B/4TDX+P8Ar1/+MUAdFRXOf8Ixf8/8Vhr/AD/16/8Axij/AIRe/wAY/wCEw1/6/wCi/wDxigCv8SP+RJn/AOvuy/8ASqKisnxl4cu4vDpkk8SaxeIt3aZgn+z7H/0iPrtiU+/BHSigDd8VgG/8L5bH/E4X8f3E1b13M1vaSzIqMY1LYd9owOuTg449qwPFe37f4XyCf+JwuPr5E1bGqfPZi36m4dYSPVSfm/8AHdx/Ck9i6aTmkyLQtWGtaYLv7O9u4keKSFzkoyMVIJ/Cootba58Qz6VbWu9beNZJp2k2hdxIwBg5Pyn06Vm6G7RX+vaZGds39ovICP4EkRHLfmxx7ke9P8Kp5ra1qcSAi4vGigGcAxwgRrz6ZVvzrJTb5V9/yPQqYenB1J20suX/ALes1+F/u1OmqlZqq3uokSBi06kqM/J+7Tg/z/Gk0nUG1K0kleIRNHcSwFVfcMo7JnOB1256UtkYze6iEQhhOu8k53Hy05HpxitU7q6POnBwk4y3Rdqlcaxplpci2udRtIZ2xiKSdVY56cE5qW/kmh065ltk8ydInaNP7zAHA/Ovleeea6nee4leWaQ7ndzksfUmubE4n2NrK9zgxeL+r2SV7n1hVLV1V9FvkaQRK1u4LnOFG088c15t4L17xn/wjFslloSalbIWSO4lu1RiAemGOcDp+HtWvqOt+NW0y6W78IwLbmFhKwvo8hcHJ6+lXHERlFOz+5mkMVGUVKz18n/kd/RXE/2749/6E+3/APA+P/4qj+3fHv8A0J9v/wCB8f8A8VT9tHs/uZX1iPZ/c/8AI7aiue8H+Ip/Emm3M91Zraz2109s8avvGVAPX8cfhXQ1pGSkuZGsJqcVJbFJ1X+24H8wBhbSDy+ckbk59P8A9dXapOY/7bgBQ+Z9mkIbPAG5MjH5VdqigooooAKpaUqpp6KsgkG9/mGefnPrV2qWkmNtOQxIVTe+ATk/fOaALtFFFABVLUFVjabpAmLhCM5+Y88VdqlqJjBtPMVmzcoFwcYPPNAF2iiigAooooA5nQQB4y8WHcCTNbcen7ha6auZ0Er/AMJl4swDnzrbJz1/cLXTUAFFFFAGH40/5ETxDzj/AIllz/6KatWx4sLbnP7pefwFZXjTH/CCeIc9P7Muf/RTVpW0qQ6VDK52xpArEnsAtAJX0KOma4b7WL7TZbbyZbVVcOsm9ZFJZSRwDwVIPHWnatrf9nXtjZQ2xuLq8l8tE37Qo2klicHjCntWNETpnirTpplIkvNMkVkHVpRIrkfnI1Txwm58eRK5DnT7JppGHTzpm2gfgiED2rBTla3W/wDX4Hqyw9JT57e5yt9d1p/6V+Z067igLABscgHIB+tU5VU61aN5gDC3mATnLAtHz6cYH50y11CSfV72wkgVPs8cUgdX3bg5cdMDH3PfrT5TH/bdoChMht5irZ4A3R5GPy/Ktk77Hmzg4O0v6vqXarXmo2OnIr315b2qscK08qoCfQZNWa+c/iLeXtz421Jbot+5k8uJC2QqADGPTI5/Gs6k3Fxit27auy+b6HJiKzpJWWrdtdF959EQTw3MKTQSpLE4yrxsGVh6gjrUleA/D7XPFdkt5b6Fpy6hF8rPFIx2xHnkfMME/rj2ruP+El+JH/QpWv8A33/9nXqU8uqyim5w/wDA4/5nXSpSnBSbX3pnc6WqpZMFkEg8+Y7hnvIxxz6dPwq7XmFj4i+ICWxFt4Utmj82Q5Mn8Rdiw+//AHs1Z/4SX4kf9Cla/wDff/2dX/ZlX+eH/gcf8zT6vLuvvR6NRXB+F/Get6j4rm0HXNKgs50tzN+7YkjpjPJHINd5XLicNPDz5J9r6O+jM503B2ZS1NVaGANIExcxHJzyd4449au1S1MxiGDzELD7TEBg4wd4wau1zkBRRRQAVSt1UapesJAxZY8pzleD/OrtUrcxnVb0KjBwse5ieDwcYHagC7RRRQAVBegNY3ALBQYmBY9uOtT1BelRY3BcEr5TZAOMjFAC2gC2UADBgI1AYd+OtTVDaFTZQFAQvlrgE5wMVNQAUUUUAc1qwB8f+GzuAItr3j14irpa5rViv/Cf+Gsg5+zXuDnpxFXS0AFFFFABXN+CxjTdS5z/AMTi/wDw/wBIeukrm/BeP7N1LAx/xOL/AD/4EPQBcvdcNjr1lp0ltmO7bYs6yfcbaxAZcd9rAYJ6VY1rVodE0m41CZS6woWCKcFiBnH6Vg+I/wDVrqh+7a6ragN/sKwRv/HpJBTvE3/Exi0+0PI1G9jiVe/kKfMc/iE/LHvWDnJKX4HqU8LTlKk2tPtfLV/g/wADpLKaee1SW5gWCRwD5YfdtBHc4HNRaoqvaRhpBGPtMByc8kSoQOPXp+NMvNQktdT0+18hWju5Gj8zfgqRG79Mc/dx170/VDGtpGZULL9pgAAOOfNTB/A4NbJ9Dz6kWrStZPVffb9C7Uc88NrA89xLHFEgy0kjBVUe5PSpK8f+NF5eC902zyy2ZiaTAbh3zg5HfAx/30azrVPZwcjlxFb2NNztc9Xs9RstRRnsby3ukU4ZoJVcA+hwas18zeD9T1rTfEdu+iwGe6fK/Z8nbKMHIPI6dfwr1P8A4SX4kf8AQpWv/ff/ANnXpUcvqzjdzh/4HF/qb0ITqRu3H5STO5hVRrF2wkBYwxApzlcF+fx/pV2vMI/EXxAGo3DJ4UtjOY4xIvmdFy23+P8A3vyqz/wkvxI/6FK1/wC+/wD7Otf7Mq/zw/8AA4/5m31eXdfej0aivMm8eeLdM1XTYNc8P21rBeTrCGVzuOSAcfMema9NrnxOEqYflc7NPZppr8CKlKULX6kc4zBICdo2nn04qLTlC6ZaKrhwIUAYdG+Uc81LPgW8hYZG05H4VFpxQ6XaGNSqGFNoJyQNo71ymZZooooAKpXKqdSsWMgUqXwhzlvlq7VK6MY1OxDIxcmTYQcAfLzkd6ALtFFFABRRRQBS05VVbnbIHzcyE4zwc9Ku1S00xlbry0K4uZA2TnJzyau0AFFFFAHN+PAD4UkBbb/pdnz/ANvMVFJ482jwnJuBI+12fA/6+YqKAF8Vbvt/hjaM/wDE4XPHbyJq2LrS7W8uoLmbzjLAd0ey4kRVOCM7VYAnBI5HQ4rD8YyxQXXhmWaVY411hSWbp/qJq221fT0jjdryELICUJbrg4pNJ7lRnKDvF2HnTrUvcyLGUkuipmkjdkdtowPmBBGAO39aZp+l2uj2P2XT4mSJclI3mdgCeerE45NP/tKy+0m3+0xecM5Tdz0z/KmLq+nPE8q3kJRMbm3dM9KOVXuV7Wbjytu2ml+233EGh2V3YW1xFdLADJczTqYpC3EkjPg5UdN2KtWvm/ar7zE2p5q+WdoG4eWuT785H4UxtX05I0ka8hCPnad3XHWq9reWceqX8RvIjLJMGEeeVxGv+GeKErKwqk3Um5vdmrXJ3/w28MahfteS2LI7nc6RSFEY/QdM+1b66vp7xvIt5CUTG47umelDavpyRpI15CEfO07uuOtKUIz0krmM6cJq0lcntbW3sbWO2tYUhgjG1I0GAo+lR6n5v9lXfkJvm8l9i7Q2WwcDB60f2lZfafs/2qLzv7m7npn+VUdS1Gwu9Fv1jv4VXyGVnzkJkEAnHNUWlY2KKpNq+nLEkjXkIR87W3dcdaf/AGlZfaRb/aovOOMJu55Gf5UAcn8Nf+PHXf8AsMT/AMlrtq4D4c39rFp+vNJcRqo1WZySf4TtAP512TavpyxJKbyEI5IVt3Bx1/nWND+GjDDfwkPfzf7Whwn7nyHy20cNuTAz9M8e3tVqsp72zOv24+2ReZ5DoIs8ncUIPp0H61YXV9PdJHW8hKxjLkN0GcVsbl2iqR1fTliWU3kIjYkK27gkdf5in/2nZeesH2qLzXxtTdyc8igC1VXTvN+xL56bJNz5G0L/ABHHA9sUxdW091kZbyEiMZchugziqmnalp9tpcZa+hZDJIA+cAncTjn6igDYoqp/adj56Q/aovNfG1d3Jz0/OkXVtPcSFbyE+WMvhvujOKALlVb3zf8ARvKTd+/Xf8ucLzk+31ph1fThCJjeQ+WWKht3BI7frVa/vrKWayi+2xLIZ43Vc8uD0Ax65oA1qKprq1g5kC3cR8sFn+b7ozik/tfThCJvtkPlltobdxn0oAu0VUOqWIljjN1FvkAKLu5bPT86RdVsGaRVu4iYwS43fdA60AY2hbv+Ew8V5Hy+dbbTjr+4WulrlfDU8Nz4t8VzQTLKjT22Cp9IFFdVQAUUUUAYfjTP/CC+Icdf7Mucf9+mq41hBqejQ2t2shieJQ6pK0eflwQSpBx7dKp+NP8AkRPEPOP+JZc8/wDbJqsWOraf/ZkTi8hKRxorNu6Ejj+VJpPRlRk4vmi7NFsafa+dbTNFvltlZYZJGLsobAPJOcnA5qC00Wxsb6e8gWYXE+BK73Ej78DAyGYjgU9tX09I43a8hCyAlCW64OKf/aVl9pNv9qi84Zym7ngZ/lRyrsV7apZrmdn5/P8APUqWtnexeIb29kS3FvcRRRLtlYuNhc5I2gc7x37Vbk83+1bbamYfJl3ttHDZTAz2/i/L2pi6vpzRPIt5CUTG5t3TPSqk+o2A1KzumvoVjMEyqCfvZZOfTjb+tCVhVKjm7vsl9ysbFc/r3gvQ/Ec6T39pmdRjzYmKMw9CR1/Gtb+0rL7T9n+1Red/c3c9M/ypi6vpzxvIt5CUTG47umelKUVJWkrmU4RmrSV0RaLoOm+HrL7LptssKE5ZurOfVj1NaVUm1fT0jSRryEI+dp3dcdaf/aVl9p+z/aovO/ubuemf5U0klZDjFRVlsGneb9lPnJsfzZeNuOPMbB/EYPvVqsfTNS0+OwlIv4XVJZGZgem6RiOv1xVttX05Ikka8hCPna27rjrTGcNa/wDJd77/ALB4/wDQUr0avNLWeIfHW7JkXDWKqpz1O1Diu+XV9PeOR1vISsYBchumTivSzLel/gj+RvX+z6Iff+b5UXkpuPnx7vlBwu4ZP5d6tVj6lqNhJa27/boUQ3EbKxPDbXBI4q9/aVl9oW3+1Rec2MJu5ORkV5pgWqKpLq+nukjreQlYxlyG6DOKDq+nrEspvIRG5IVt3BI6/wA6ALtVYPN/tG73piLCbG24zwc896P7SsvtCwfaovNfG1N3JzyKpW2o2H9oX8y30LKEjLAH7gGR/M0Aa9FUjq+nrCspvIRGxKht3BI6/wA6d/adl56Q/aovNfG1d3Jz0/OgC3UN1v8Asc/ljc/lttGM5OOOKhXVtPcSFbyE+WMvhvujOKgu9U099Nlb7bCqSKyB93Gcf/XFAF623/ZYd4w+xdwxjBxUtZ9tqNjHFa25u4jI0abRu5bIGMfWpF1awcyBbuI+WCz/ADfdGcUAXKKpf2vpwhE32yHyy20Nu4z6U46pYiWOI3UW+QAou7ls9PzoAxtV3f8ACfeHMD5fs17k46f6qukrk768tbv4heHlguY3aO3vQyqc/wDPL/CusoAKKKKACua8Hp5mk6oj7gG1a/GVJU4+0SdCOR9a6WuT8HX1pHbanbtcxib+179ihPIH2iQ/yoA249D0+OwksTC8ltI/mPHNK8oLbt2fmJ/i5pbnRbG71GG/mWY3MBJiYXEihMjBwobHIHPHNPXV9PaJ5VvISiEBm3cDPT+VDavp6Rxu15CFkBKEt1wcVPLHsa+3q3vzO+vV9d/v6lfU7O9udT0y4t0tzHaStK/mSspbMbpgAKf72etW9Q837Mnkpufz4cjaD8vmLuP4DJz260f2lZfaTb/aYvOGcpu54Gf5VRv9RsLmx3JfQhI7iBmbOQMSqcceuCKaVrkzqOSin00/G/6mxWZregab4hs/supWyzIDlG6Mh9VPUVM2r6ekaSNeQhJM7Tu644NP/tKy+0/ZvtMXnf3N3PTP8qGk1ZmcoqSs9jJ0HwXofhyZ59PtMTsMebIxdgPQE9PwroKpLq+nvE8i3kJRMbm3dM9KG1fT0iSRryEJJnad3XHWlGKirRVhQhGCtFWQ+Lzf7UudyYi8qPY23qcvnnv2/P3q1WVFeWa67cp9siMrxRKIs8jG8/ToasLq+nPG8i3kJSPG47umeBVFHDfFD/kKeE/+wh/7MlejV5j8TL22mvvCk0U6PGL8ksDxgMma9E/tKy+0i3+1ReccYTdz0z/KvSxX+50P+3v/AEo3qfwofP8AMnl3eS+0ZbacD3qKx8z+z7bzV2yeUu9cYwcDIx2qu+q6fLazsl7DtVPmbd93PAqKy1PT7fSbPffQlPKVFfdgMVAB615pgatFVf7SsvtC2/2qLzmxhN3JyMimLq+nukjreQlYxlyG6DOP50AXaq3Hm/b7TYmY8vvbbnHHHPamHV9PWJZTeQiNyQrbuCR1/nVe4vbN9XsUF5EJBuxHnlty8UAatFUl1fT3WRlvISIxlyG6DOP50HV9OWFZTeQiNiVDbuCR1/nQBdoqp/adj56Q/aovNfG1d3Jz0/OkXVtPcSFbyEiMZfDfdGcUAOsfN23Hmpt/fvt+UDK54P8A9erVY9jqWnwW88rX8LRyXMhDZ4z1xz6ZFXf7TsfOSH7VF5kmCi7uTnp+dAFuiqa6tp7+Ztu4T5Yy/wA33RnFIdX08Qib7ZD5ZbaG3cZ9KAMjx1u/4RWTYMt9rs8DGf8Al5ioqr461Czk8NGBbqLzJLqzZRnkj7REc/lRQBZ8V7ft/hfIJ/4nC4+vkTV0tc34q3fb/DG0Z/4nC547eRNXSUAFFFFABVKyMZvdRCKwYTrvJOcny06enGKu1VtfN+1X3mJtTzl8s7cbh5a85785H4e1AFqiiigAqlrBjXRb4zKzxi3feqnBI2nIB7Vdqrqfm/2Vd+Qm+byX2Lt3bmwcDB6/SgC1RRRQBxPw1/48dd/7DE/8lrtq4n4a/wDHjrv/AGGJ/wCS121Y0P4aMMN/CRScx/23ACreb9mkIbPAG5MjH5Vdqo/m/wBrQ4T9z5D5fb0bcmBn6Z49vardbG4UUUUAFUtJMZ05DErKm98Bjk/fOau1V07zfsS+cmyTc+V27f4jjj6YoAtUUUUAFUtRMYNp5is2blAuDjB55q7VW983/RvKTd+/Xf8ALnC85Pt9aALVFFFABRRRQBzOglf+Ey8WYBz51tk56/uFrpq5rQt3/CYeK8jC+dbYOOv7ha6WgAooooAw/GmP+EE8Q56f2Zc/+imrVscf2fbY6eUv8hWV40z/AMIL4hx1/sy5x/36atWyz9gt89fKXP5CgCeiiigAqlKY/wC27QFWMht5trZ4A3R5GPy/KrtVJPN/tW22pmHyZd7bejZTAz2z83HfHtQBbooooAKKKKAKWlGNrJjErKvnzcMc8+Y2f1zV2quneb9lPnJsfzZeNu3jzGwfxGD71aoA85tf+S733/YPH/oKV6NXnNr/AMl3vv8AsHj/ANBSvRq9LMt6X+CP5G9f7PoilqZjEMHmKzD7TEBg4wd4wau1Vv8AzfKi8lN58+PcNucLuGT+XftVqvNMAooooAKpW5jOq3oVWDhY9zE8Hg4wO1Xaqweb/aN3vTEW1NjbcZ4Oee9AFqiiigAqC9KixuC4JXymyAcEjFT1Ddb/ALHP5a7n8ttoxnJxxxQAWhU2UBQEL5a4BOcDFTVFbbvssO8bX2LuGMYOPSpaACiiigDmtWK/8J/4ayDn7Ne4OenEVdLXN6ru/wCE+8OYHy/Zr3Jx0/1VdJQAUUUUAFc34Lx/ZupYGP8AicX+f/Ah66Suc8Gbv7N1HcMf8Te/xx2+0SUAdHRRRQAVS1Qxi0jMqsy/aYAApxz5qYP4HBq7VXUPN+zJ5Kb28+HI27vl8xdx/AZOe2M0AWqKKKACiiigClCY/wC2bwKrCQQxbmzwRl8cfnV2qsXm/wBqXO5MReVHsbb1OXyM9+35+9WqAPOfih/yFPCf/YQ/9mSvRq85+KH/ACFPCf8A2EP/AGZK9Gr0sV/udD/t7/0o3qfwofP8yOfAt5Nwyu05A+lRacUOl2hjUqhhTaCckDaMc1NLu8l9oy204HvUVj5n9n23mrtk8pdy7cYOBkY7V5pgWKKKKACqV0YxqdiGVi5Mmwg4A+XnI71dqrceb9vs9iZjy+9tudvHHPagC1RRRQAUUUUAUtNMZW68tWXFzIGyc5OeTV2qtj5u2481Nv799vy4yueD7/WrVABRRRQBzXjzaPCcm4Ej7XZ8D/r5iopfHW7/AIRWTYMt9rs8DGf+XmKigA8VjN/4X+bH/E4X8f3E1dJXNeK9v2/wvuBP/E4XGPXyJq6WgAooooAKpWahb3USJAxadSVGfk/dpwf5/jV2qVkYze6iEVgwnXeScgny06enGKALtFFFABVLV1D6LfI0giDW7gu2cL8p545q7VLWDGui3xmVmjFu+9VOCRtOQD2oAu0UUUAcXN8M9HluridL7VYDPK0rJDcBV3E5OBtpv/CsdL/6C2t/+BY/+JrtqKx9hT7GH1al/KcC3w10sajHF/bGr8xO203XzcFeQduMc/yqx/wrHS/+gtrf/gWP/ia6lzH/AG3ACreb9mkIbPAG5MjH5Vdo9hT7B9Wpfynk/jTwjB4Y8PnU7DVdWNwkyKvm3ORyfYCvWK4n4rf8iRJ/18RfzrtqVOKjUko+X6k0oRhVko7WX6hVLSlCaeiiQSDe/wAwzz859au1S0kxnTkMSsqb3wGOT985rc6S7RRRQAVS1BQxtMyBMXCEZz83XirtUtRMYNp5is2blAuDjB55oAu0UUUAFFFFAHM6CAPGXiw7gczW3Hp+4WumrmdBK/8ACZeLMA7vOtsnPX9wtdNQAUUUUAYfjT/kRPEPOP8AiWXP/opq1bH/AI8LbnP7pefwFZXjTH/CCeIc9P7Muf8A0U1atjj+z7bHTyl/kKAJ6KKKACqUqg61at5gBFvMAnOWy0fPpxj9au1SlMf9t2gKsZDbzbWzwBujyMfl+VAF2iiigAooooApaWoSyYCQSDz5juGe8jHHPp0/CrtUtKMZsmMSsq+fNwxyc+Y2f1zV2gDjfEfw30nxJrDancXV7BO6KjCB1AOOAeVPasr/AIU1ov8A0FNV/wC/if8AxNej0V3080xlOKhGo0kbLEVYqyZ5jdfCDRoUjYatqK7pUT55FOcsBgYXr6VP/wAKa0X/AKCmq/8AfxP/AImu61MxiGDzFZh9piA2nGDvGDV2r/tfG/8APxj+s1f5jy3VvhLpFho19eR6lqbSW9vJKoaRMEqpIz8vtXRfC+WSb4f6e0sjOwMigscnAkbArd8Sf8itq/8A15Tf+gGuf+FX/JPbD/fl/wDRjVvVxVbEZfKVaV2pr8mXKpKdFuTvqvyZ2dUrdQNUvWEgYlY8oM5Xg/zq7VK3MZ1W9CqwcLHvJPB4OMCvGOUu0UUUAFQXgDWNwCwUGNhuPbjrU9QXpUWNwXBK+U2QDgkYoAW0AFnAAwYCNfmHfjrU1Q2hU2UBQEL5a4BOSBipqACiiigDmtWGfH/hs7gMW17x68RV0tc1q23/AIT/AMNZBz9mvcHPtFXS0AFFFFABXN+CxjTdS5z/AMTi/wDw/wBIeukrm/BeP7N1LAP/ACGL/P8A4EPQB0lFFFABVLVFD2iAyCMfaIDk55xKhxx69Pxq7VLVDGLSMyqzL9pgACnHPmpg/ng0AXaKKKACiiigClCoGsXbeYCTDECnOV5fn8f6VdqlCY/7ZvAqsJBDFuYngjL4wPzq7QBz/irwhYeLra3hvpbiI27l0eBgDyORyD6CuY/4U1ov/QU1X/v4n/xNej0V20cxxVGCp05tJGsa9SCtF6Hm0nwc0VY2b+1dUGATkyJj/wBBplt8H9FmtIZTqupNvRWyki7TkdsrnFekT4FvJuBK7TkD6VFpxQ6XaGNSqGFNoJyQNoxzWv8Aa+N/5+Mr6zV/mOB/4U1ov/QU1X/v4n/xNQ/C63OneIfFelpPLJb2lwkcfmNk8NIM+mSAK9Nrzn4ff8jz43/6/B/6HLXTTxtfE4Suq0r2S/8ASkaKrOdOak77fmejVSuVB1KxYyBSpfCHOW+WrtUroxjU7EMrFyZNhB4Hy859a8Q5C7RRRQAUUUUAUtOUKtziQPm4kJxn5eenNXapaaYyt15asuLmQNk5yc8mrtABRRRQBzfjwZ8KSAtt/wBLs+f+3mKik8ebR4Tk3Akfa7Pp/wBfMVFADfGHn/avDX2cIZP7XXG/p/qJutbTf2n5cewWe/B35LY68Y/CsjxWM3/hf5sf8Thfx/cTV0lAFX/T/tJ4tvI5xy27p+XWmL/aflPuFn5nGzBbHvmrtFAFJv7U8tNos9/O/JbHtiobf+0f7RvMx2623mjaSCGYeWvIOOeeMn0x2rTqlZqFvdRIkDFp1JUZ+T92gwf5/jQAL/anlPuFn5nGzBbHvmhv7U8pNos/M535LY9sVdooAq/6f9p6W3kfVt3T8utU73+1v7Kvf3dq83lN5aoC2446EEc/StaqWrqH0a+UyCIGBwZGzhflPJxzQAN/anlJtFn5nO/JbHtin/6f9pHFt5HGeW3dOfbrVqigCkv9p+XJvFnvwNmC2OvOfwob+1PKTaLPzMndktjHbH61dooAzG/tH+2of3dv9m8ltz4OQcrxnH1wO+Papl/tPZJvFpux8mC2M57/AIUOo/tuB/MAIt5B5fOT8yc+n/66u0AcB8UPtn/CEHzxB/x8Ju2E+vGM/jXa/wDEw+0LxbeTxu5bd747VyfxW/5EiT/r4i/nXbVjH+LL0X6mEP40vRfqUl/tPbJvFpnHyYLdc9/wqtZf2t/Z0eY7VJt77lYFRjcccAVrVS0pQmnookWQb3+Zc4Pzn1rY3Hf8TDz04tvJ438tu98Ui/2niTcLTp8mC3XPf8KuUUAUj/ankjAs/N3HPLbcdvx61Def2n51psjt2i81PMwCSP7xGRwPetOqeoKGNpmQJi4Q85+brxQAL/aWZNwtOh8vBbrnvSf8TTyRgWfm7ueW24/xq7RQBUP9o+bHgWvl4HmctnPfH9KRf7S3SbhabcHy8FuvbNXKKAOW8N/af+Er8U/aVjD+dbcxg4P7hfWuprmdBGPGXiw7gczW3Hp+4WumoAKKKKAMPxpn/hBfEOOT/Zlzj/v01WLH+0/7Mi3C08zy028tjGOc1X8af8iJ4h5x/wASy55/7ZNWrY/8eFtzn90vP4CgCFv7T8uPYLPfg78lsdeMfhT/APT/ALSeLbyOcctu6ce3WrVFAFJf7U8p9ws/M42YLY981Wm/tb7ba7I7UnypfMYg7QdyYAOMjIzx3x7CtaqUqg61at5gBFvMNnOWy0fPpxj9aAH/AOn/AGnpbeR9W3dPy60xf7U8p9ws/M42YLY981dooApN/anlJtFn5nO/JbHtin/6f9p6W3kfVt3T8utWqKAMnT/7W+xSebHapL5j7BhlH3zyRjuOQe/U1Zb+1PKTaLPzOd+S2PbFLpahLNgJBJ+/mO4Z7yNxz6dPwq5QBV/0/wC0ji28jjPLbunPt1pi/wBp+XJvFnvwNmC2OvOfwq7RQBk339rfZoPLjtXl85N4wWAG4cjj65Parn+n/aF4tvI43ctu6c+3WmakoaGAGQR4uIjk55+cccetXaAMDX/7R/4RfWfOFrj7FLt2Fv7pznPtWF8M/tv/AAr3T/sot/8AWTZ80t03n0/Gup8Sf8itq/8A15Tf+gGuf+FX/JPbD/fl/wDRjV6UP+RdP/HH8mbr+A/Vfkzqf9P+0LxbeTxu5bd747VUtzqv2y98yO1Hyp5TAEBjz1OMmtWqVuoGqXreYGJWPKDOV4P8680wA/2n5K4Fn5uTuyW247Y/Wnf8TDz04tvJ438tu98Ul/qtlpYjN7N5KyMFVyjFcnoCQMD8auEgDJOAKV1sU4SSUmtGU1/tPEm4WmcfJgt1z3/Cobn+1fsEm1LRpsNx8xBGOMDuam0/VLPVI2kspjNGpI8wIwUkHBwSMHkHpUt4N1jcAsFBjYbj0HHWhNPVBKEoPlkrMrwf2jst8rbKmxPMB3BgcDdgdKev9pZk3C06Hy8Fuue9TWgxZwAMGxGvzDvx1qamSUv+Jp5IwLPzd3PLbcf404/2j5seBa+Xgb+Wznvj+lW6KAOTvvtv/CwfD/nrB5f2e92mPJIH7rrn8K6yua1Yf8V/4bO4DFte8evEVdLQAUUUUAFcp4O+3fZtSwtv5H9rX+M5Df8AHxJj2611dc34LGNN1LnP/E4v/wAP9IegDXX+0/KfcLPzMjbgtjHfNDf2n5cewWe/B35LY68Y/CrtFAFX/T/tJ4tvI5xy27px7dap3f8Aa32M/u7V5fOh2hQWGPMG4kEdhzntjNa1UtUUPaIDII/9IgOTnnEqHHHr0/GgAb+0/Lj2Cz3878lse2Kf/p/2npbeR9W3dPy61aooApL/AGn5T7hZ+ZxswWx75ob+0/KTaLPzOd+S2PbFXaKAMyP+0f7ZnzHbi18uPDYIY/eyM45wfyz71Mv9qeW+8We/jZgtj3zRCoGsXbeYCTDENnOV5fn8f6VdoApN/anlJtFn5nO/JbHtin/6f9pHFt5HGeW3dPy61aooAoMdU+zzbltDJt/dhd2Cfeo7X+1f7NtfktFm8sb1YMoHAwMAcHrxV+cZgkGdvynn04qLTlC6ZaKHDgQoNw6N8o55oAT/AE/7QvFt5HGeW3dOfbrXnfgH7V/wmXjbyxD532oZ3E7c+ZJ+OOv6V6dXnPw+/wCR58b/APX4P/Q5a9LCf7riPSP/AKUjel/Dn6L8zuT/AGp5S7RZ+Zk7slsY7Y/WoZv7S/tSzxHbm353sASV+XnnHHPStOqdyoOpWLGQKQXwhzlvl7fSvNMBF/tPbJvFpux8mC3XPf8ACg/2p5K4Fn5uTuyW247Y/WrtFAFT/iYeenFt5PG/lt3vimr/AGniTcLTOPkwW657/hV2igDJtP7W8iXMdqsvnv8AeDAFexGBz35q3/xMPOj4tfK438tu98f0punKFW5xIHzcSHjPy89Ku0AU1/tL95uFp0/d4Ldc9/wpD/ankjAs/N3c8ttx/jV2igDkvHH9of8ACN/dtzH9qs9wGS2ftEWcdsZoqz48GfCkg3bf9Ls+f+3mKigBPFe37f4X3An/AInC4x6+RNXS1zfird9v8MbRn/icLnjt5E1dJQAUUUUAFUrIxm91EIrBhOu8k5BPlp09OMVdqpa+b9rvt6bU85fLO3G4eWvOe/ORn2x2oAt0UUUAFUtYMY0W+Mys0Qt33qpwSNpzg9qu1U1Pzf7KvPITzJfJfYhXduODgY7/AEoAt0UUUAFFFFAFJzH/AG3ACreb9mkw2eMbkyMflV2qj+b/AGtDhP3PkPl9vRtyYGfpnj29qt0AcZ8UoZZvBMwijeQrPGxCLk4zTP8AhaOi/wDPlqv/AIC//XrtqKylTlzOUXa/kYSpT53OMrX8uxxP/C0dF/58tV/8Bf8A69V7H4l6Hb2ixrY6qAGY/wDHvu6sT1z7131VNN837CvnJsfc+V27f4jjj6UuWr/N+H/BDkrfzr7v+Ccp/wALR0X/AJ8tV/8AAX/69avh/wAZ6X4kvJrSzS6jnhQSMk8Wz5c4yOT6iuhridO/5LBrH/YOj/mlJupFq7vd9iW6sJRvK6btt/wTtqpaiYwbTzFZs3KbcHGDzyau1VvvN/0byk3/AL9d/wAucLzk+31rc6S1RRRQAUUUUAczoO3/AITLxZgHd51tk5/6YLXTVzWhbv8AhMPFeVwvnW2Djr+4WuloAKKKKAMPxpj/AIQTxDnp/Zlz/wCimrVscf2fbY6eUv8AIVleNM/8IL4hxyf7Muf/AEU1atln7Bb54PlLn8hQBPXAX3xe8PWF/cWj22oyNBI0bPHEm0kHBxlwcfhXf15z8Lf+P/xT/wBhA/zevRwVKi6VSrWi5cttL23duzN6UYcspSV7B/wunw5/z5ar/wB+o/8A4uq7/GHw219Dc/YdVzHG6A7I/wCIqem/n7vr+eePTqqSeb/a1ttTMXky7n29DlMDPbPPHfHtT+sYH/nw/wDwP/7UOej/ACfj/wAA4T/hdPhz/ny1X/v1H/8AF0f8Lp8Of8+Wq/8AfqP/AOLr0aij6xgf+fD/APA//tQ56P8AJ+P/AADzn/hdPhz/AJ8tV/79R/8AxdH/AAunw5/z5ar/AN+o/wD4uvRqKPrGB/58P/wP/wC1Dno/yfj/AMA8ytPjD4btoDGLHVQDI7/cjP3mLf3x6/8A6+tT/wDC6fDn/Plqv/fqP/4uu807zfsp85Nj+dLxt28eY2Dj3GDnvnNWqPrGB/58P/wP/wC1Dno/yfj/AMA85/4XT4c/58tV/wC/Uf8A8XR/wunw5/z5ar/36j/+Lr0aij6xgf8Anw//AAP/AO1Dno/yfj/wDzG6+MPhu5SNTY6qdkqSfcjH3WB/vn0//VVj/hdPhz/ny1X/AL9R/wDxdd3f+b5UXlJvPnx7ht3YXcMn8B37Vbo+sYH/AJ8P/wAD/wDtQ56P8n4/8A8s1f4vaBf6NfWcVnqYkuLeSJC0UeAWUgZ+fpzWj8N9Xt7DwNYQTwahvBkbMenzyKQXYghlQg/ga9Coqa+LpSw/sKFPlu09XfZNdl3FUqJw5IK2t+/+RHDMtxAkyBwrjIEiMjfirAEfQisUa5YW+sXyG31HzF2K7JYTyKcZ6bUPHv0Pat6qkHm/2jd7kxHhNjbcbuDnnvXnO/Q53foc74rK614euxCsoWKymuQJImjdXXhMqwBGcP1Hanax4ssotMbJmVjbGbLW8gRz5ZkEYcrtOQD36AitdNNunuL5ry7hmiuohEES3KFFGeMlzn7zdu9Y+peCzfaFpekx34jisZI5GeSEu0xRSuD8w4IOMemKwlGpq4rVnqU6lLlp05yVoyT2eztzfNW0L+iLFoXh7TdPlEjXC2wZ0jQuxPBc4H+0361oPd217o0l1C4mtpIWYMhxuXB/I1S1i+/s8QMLWaW9kQxi5gsZJhEONxwoJAJAwuecD0zT9MgjtvDCQ2cE6IkLiNLhD5jdeWUjOSecEd60i7PlXQxrx54OvK95P5Pe/wDXr5GjabTZQFAQvlrgE5IGKmqK23fZYd67X2LuGMYOPSpa0OMKKKKAOa1bb/wn/hrIOfs17g59oq6Wub1Xd/wn3hzAyv2a9ycdP9VXSUAFFFFABXN+C8f2bqWAf+Qxf5/8CHrpK5zwZn+zdSyMf8Te/wAcdvtElAHR0UUUAFUtUMYtI/NVmX7TBgKcc+amD+eKu1U1HzfsyeSm9vPhyNu75fMXccewyc9sZoAt0UUUAFFFFAFKEx/2zeBVYSCGLcxPBGXxgfnV2qkXm/2pc7kxF5Uex9vU5fIz3xx9M+9W6ACiiigCOfH2eTcCV2nIH0qLTih0u0MYKp5KbQxyQNoxk1NLu8l9oy204GOpqKx3/wBn23mrsk8pdy7duDgZGO1AFivLvBmowaf458ZmZLpt95x5FrLN0eTrsU46969Rrzn4ff8AI8+N/wDr8H/octejhL/VcRbtH/0pG1O/s527L8zvbK+hv4mkhS4VVO0ie3khP4B1BI96z9V1S0sdVsUnhvHkw7K0FrLKACMfwKcn26jrWzVW4837fZ7EzHl97bc7eOOe1ebrY59beYllqMGoBzCl0uzGfPtZYevpvUZ6dqZqWr2mkx+ZefaFj2l2eO2klVFHUsUUhR9cVeqrqdkupaVeWDOUW5geEuBkqGUjP60nzW03B83LpuWqKKKoopaaYyt15asv+kybtxzk55NXaqWPm7bjzU2fv32/LjK54Pv9at0AFFFFAHNePNo8JybgSPtdn0/6+YqKXx3u/wCEVk2jLfa7PAxn/l5iooAPFYzf+F/mA/4nC/j+4mrpK5fxjFFPdeGYpk3o2sKCM/8ATCatttJsHjjRrZSsYIUZPGTmgC7RVX+zrT7SbjyF805y2T6Y/lTF0iwSJ41tlCPjcMnnHSgC7VKzULe6iRIG3TqSoz8n7tOD/P8AGhtIsHjSNrZSiZ2jJ4z1qvaWVk+qX8wg/fpMoZy2f+WadPTg0AatFUl0iwSN41tlCPjcMnnHShtIsHjSNrZSiZ2jJ4z1oAu1S1dQ+jXymVYgYHHmNnC/KeTin/2dZ/aftHkL5397J9MVR1LTdOttEvybb90YGLqjYJABPBPegDYoqk2kWDRJG1spRM7Rk8Z60/8As2z+0i48hfNGMNk9higC1RVJdJsEjkRbZQsgAYZPODmhtIsGiSI2ylEJKjJ4z1oAHUf21A3mAEW8g8vnJ+ZOfT/9dXaynsrEa/bv9n/fiB2V93AAKDp69KsLpNgiSItsoWQYYZPPOaALtFUjpFg0SxG2UopJUZPBPX+VP/s2z89Z/IXzUxtbJ4xwKALVUtKUJp6ASCT53+YZwfnPrQuk2KLIq2ygSDDjJ5Gc1U07TdOn0uNRbfuhJIVVmyQdxB/lQBsVxOnf8lg1j/sHR/zSur/s2z89JvIXzExtbJ4x0rjNNsbYfFfWrcRDym05Mr65KGsau8fX/Mwr7w9f0Z31U9QUMbTMipi4Q85+brxSHSLAwiI2y+WGLBcnqf8A9VVr+wsUmspWt8yLPGiMrYxjp+HFbG5rUVTXSrFDIVt1HmAh+TyM5pP7IsDCIfsy+WG3BcnrQBdoqodMsjLHIbdd8YAQ5PGOlIulWKtIwt1BkBD8nkHrQBi6CMeMvFh3A5mtuPT9wtdNXK+GoILbxb4rigj2Ks1txnj/AFC11VABRRRQBh+NP+RE8Q84/wCJZc8/9smrVseLC25z+6Xn8BWV40x/wgniHPT+zLn/ANFNVix0qw/syJBbLskjQsMnnA4/nQBqV5z8Lf8Aj/8AFP8A2ED/ADeu5bSbB440a2UrGCFGTxk5rgPhjawS6p4mlkjDOl+wU+gJfNelhf8Ac6//AG7/AOlG9P8AhT+X5nplUpVB1m1bzACIJh5fOWy0fPpxj9aF0iwWJ41tlCPjcMnnHSqk+m6c2pWVs9tkCCYoN3ygbo88evP8680wNiiqv9nWn2n7R5C+d/eyfTH8qYukWCRvGtsoR8bhk846UAXaKpNpFg8aRtbKUTO0ZPGetP8A7OtPtP2jyF87+9k+mP5UAN0tQlmwEiyfv5juGe8jcc+nT8KuVj6XpunNYSrHbYjeaRWDNnO2Rv6irbaRYPEkbWylEztGTxnrQBdoqr/Z1p9pFx5C+aMYbJ7DFMXSbBI5EW2ULIAGGTzg5oANSUNDADII8XERyc8/OOOPWrtY+pabpy2ttG9tmNbiMIFbGCzj9Kvf2bZ/aFuPIXzVxhsnjAwKALVFUl0mwRJEW2ULIMMMnnnNB0iwaJYjbKUQkqMngnr/ACoAu1St1A1S9bzVYlY/kGcrwf50/wDs2z+0LP5C+auNrZPGOBVG207TxqF/EltjKxiTLcEHJ4/KgDYqle3rWt3psKoGF3cmFif4QIpHyPxQD8aDpFg0KxG2Xy1JYLk8E9f5VXu9DtrjUNOu0VUe0m8w9TuAjdAPwLA/hSle2hMr20NWoLwbrG4BYJmNhuPbjrUS6VYoJAtuo8wYfk8jOagvNL09dNmRrYGJFZ9oJHOOcflTKLtoMWcA3BsRr8w78damrPttOsnitZxbjcsabCScgADFSLpVihkK26jzAQ/J5Gc0AXKKpf2RYGEQ/Zl8sNuC5PWnHTLIyxyG3XfGAEOTxjpQBi6sM+P/AA2dwGLa949eIq6WuSvrO1tfiF4eaKHY8lvekkHr/qv8a62gAooooAK5vwWMabqXOf8AicX/AOH+kPXSVyfg2xtJLbU7gwgzf2vfqWJ/6eJB/KgDrKKpLpFgsTxC2UI5BYZPOOlDaTYPHGjWylYwQoyeMnNAF2qWqKHtEBkEf+kQHcc84lQ449en40/+zrT7SbjyF845y2T3GKo3+m6db2Oz7N+7kuIFZVbGT5qgfhk/lQBsUVSbSLB40ja2UpHnaMnjPJp/9nWn2n7R5C+d/eyfTFAFqiqS6RYJE8a2yhHxuGTzjpQ2kWDxJG1spRM7Rk8Z60AEKgaxdt5ikmGIbOcry/P4/wBKu1lRWVk2vXUggP2hIoiXLcc7wMD8KsLpFgkbxrbKEfG4ZPOORQBdoqk2kWDxJG1spRM7Rk8Z60/+zbP7SLjyF80Yw2T6YoAnmGYJBu2/KefTiodOULploocOBCg3Do3yjnmoJNK0+K1nUWyhHT5wCeQOaistM0+fSbMfZh5YiVkVmJIyB3oA1a85+H3/ACPPjf8A6/B/6HLXef2bZ/aFuPIXzVxhsnsMCvO/ANnbyeMvGsDxAxC6ChfbzJP8BXpYT/dcR6R/9KRvS/hz9F+Z6dVO5UHUrFvMVSpf5DnLfL2+lIdIsGiWI2ylEJKjJ4J6/wAqr3FjYrq9jIbf98d2xg3A2r3H0rzTA1apaxetpuiX9+iB3traSZVboxVScH8qF0mwRZFW2UCQYcZPIzmquqeH7S/0S60+ONIjLDIkbHJCMy43dfp+VKV7OxMr8rtua9FVP7Ns/PSbyF8xMbWyeMdKRdJsUEgW2UeYMPyeRnNMoTTlCrc4kEmbiQ8Z+XnpV2sex03TpbeeIWv7tLmT5WbPzdCR7cVd/syz85JvIXzI8BWyeMdKALdFU10qxXzNtuo8wYfk8jOaQ6RYGEQ/Zl8sNuC5PWgDI8eDPhSQbgv+l2fJ/wCvmKiqvjrT7NPDRn8gb47qzVSDyB9oiFFAFrxVu+3+GNoz/wAThc8dB5E1dJXN+Kxm/wDC/wA2P+Jwv4/uJq6SgAooooAKqWvm/a77fGFTzl8s7cbh5a85785GfbHardU7Ndt5qJ8xW3Tqdoz8n7tOD/P8aALlFFFABVTVPN/sm88mMSS+S+xCu7ccHAx3+lW6p6uu/Rr5TKIgYHHmNnC/KeTigC5RRRQAUUUUAVH83+1ocRgxeQ+X29G3JgZ+mePb2q3VJ1/4nUDeYoIt5B5fOT8yc/59au0AFFFFABVTTfN+wr50YR9z5ULt/iOOPpVuqelLs09FEiyfO/zLnB+c+tAFyuJ07/ksGsf9g6P+aV21cXq3hXXn8VXGt6Jq9vZvPAsLrLDvOBj1BHYVlVT0aV7Mwrp+60r2f+Z2lVL7zf8ARvKjD/v13fLnC85Pt9a5T+x/iB/0NFl/4Br/APE1XutH8dfuPO8U2I/ers/0UD5u3RaXtX/K/wAP8w9tL+R/h/md9RXE/wBj/ED/AKGiy/8AANf/AImq99Y+PrHT7m7bxNZssETSlRaLkhQTj7vtQ6rX2X+H+YnXa15H+H+Z31FYvhLUrnV/Cun392ytcTR5dlGATkjOPwrarWMlJJrqbRkpRUl1Oa0Ld/wmPivK4XzrbBx1/cLXS1zOgjHjLxYdwOZrbj0/cLXTUygooooAw/Gmf+EF8Q4GT/Zlz/6KatWyz9gt8jB8pc/kKyvGn/IieIecf8Sy55/7ZNWrY/8AHhbc5/dLz+AoAnrzn4W/8f8A4p/7CB/m9ejV5z8Lf+P/AMU/9hA/zevSwv8Audf/ALd/9KN6f8Kfy/M9GqpJ5v8Aa1tiMGLyZdz7ehymBntnnjvj2q3VKVc6zat5igiCYeXzlstHz+GP1rzTAu0UUUAFFFFAFTTvN+yHzowj+dLwF28eY2Dj3GDnvnNW6p6WuyzYCUSfv5juGf8Ano3HPp0/CrlABRRRQBU1DzfKh8qMOfPj3Dbuwu4ZP4Dv2q3VPUl3QwgyLHi4iOTnn5xxx61coAKKKKACqkHm/wBo3e6MCPbHsbbjdwc896t1Tt1xql63mhsrH8gzleD/ADoAuVUu70WlzYQ+Xu+1zmHOcbcRvJn3+5j8at1R1Cwe8msJY51ie0ufPG5NwYbHQr1GOHPPY+tKV7aEyvbQvVDdb/sc/lrufy22rjOTjpjvT5RI0LiJ1SQqQjMu4A9iRkZ+mRWNdWmum0mD6vYBfLbJ+wMMDHr5tDbXQG2uhr2277LDvXa+xdwxjBx6VLUFsCLGFVcE+UoD4yDx1rP+y6//ANBaw/8ABe3/AMdoba6A210NeikQMEUOQzY5IGAT9KWmUc3qu7/hPvDmFyv2a9ycdP8AVV0lc1qw/wCK/wDDZ3AYtr3j14irpaACiiigArnPBmf7N1LIx/xN7/HH/TxJXR1zngsY03Uuc/8AE4v/AMP9IegDo6KK828T6r4pu/iDH4e0HU4rJTaiUeZGpBPJJJKk104XCyxM3FNKybbe1l95pTpubsnY9JqpqPm/Zk8mMO3nw5G3d8vmLuOPYZOe2M1wf9gfE7/oabD/AL9j/wCNVDd6D8SBCv2jxVp4TzY8fJj5t429Iv72K6fqEP8An/D73/8AIl+xX86/H/I9Norzj+wPid/0NNh/37H/AMao/sD4nf8AQ02H/fsf/GqPqEP+f8Pvf/yIexX86/H/ACPR6K84/sD4nf8AQ02H/fsf/GqP7A+J3/Q02H/fsf8Axqj6hD/n/D73/wDIh7Ffzr8f8jvIvN/tS53RgReVHsfbjccvkZ744+mferdeZJoPxI+2zBfFWn+fsTeNn8OW2/8ALLH96pv7A+J3/Q02H/fsf/GqPqEP+f8AD73/APIh7Ffzr8f8j0eivOP7A+J3/Q02H/fsf/GqP7A+J3/Q02H/AH7H/wAao+oQ/wCf8Pvf/wAiHsV/Ovx/yPRJd3kvtGW2nAxnJqKx3/2fbeamyTyl3Lt24OBkY7V5++g/Ezy23+KdP24OfkHT/v1UdtoPxJNrD5HinT/J2Ls+T+HHHWL0o+oQ/wCf8Pvf/wAiHsV/Ovx/yPTK85+H3/I8+N/+vwf+hy0n9gfE7/oabD/v2P8A41Wp4G8Jap4evNXvdWvYLm61B1dmhBxkFiScgdS3YVsqdLD4aqvaxk5JJJX/AJk+qRajGFOS5k7/AOZ2dVLjzft9nsjDR5fe23O35eOe1W6p3K51KxbzQuC/yHOW+Xt9K8c5RdTmnt9PlltjH5y/cWRSQzHgLwR1JAzWbZ+IGm8FHX5bcb47WSd4VbA3IDlQfqpFX75hJc2VrkfPL5jL32oN2f8AvrZ+dcxplsL3w5rWhtK1vbw3F5DJMB9xGZmX9GyfYY71jKTUtO34naqSlhZNL3k07+Wq/Oxs6Tq93qur6jGscMdjZyrErFSXkYoGPOQFxlex64rcrlfCovk8JQXscSyXmo3BupSQAAJHzuwT0CYOM9qltJ9fvNU1K1TULJYbSRUWU2LNvJXcR/rByuQD/TpRCb5VfqGLo2nP2a0jpb0sm/m/6sjasPN23HmxhP377fl25XPB9/rVus7R45YraZZ7mO4l89y7xoVGc9MEnH5mkuLfWXndrfUrOKEn5UeyZyB7nzBn8q1b8jgbaWxpUVBaJdRwBbueKaXJy8URjGPoWb+dT00Ujm/He7/hFZNoyftdnxjP/LzFRR48GfCkg3bf9Ls+T/18xUUAJ4r2/b/C+4E/8ThcY9fImrpa5jxhI8V14adInlI1dfkQAkjyJuma2mv5Fjjb+z7ti4OVATK89/moAu0VV+2P9pMP2K5wM/vMLtPGf72f0pi38jRO/wDZ94CuPlITLZ9PmoAu1SsjGb3UdisGE67yTkE+WnT04xQ1/IsaP/Z94xbPygJlfr81Q211OupXkT2M4QygpKEUKR5a9TnJ5yM/h2oA06KpLfyNG7/2feKVx8pCZbPp81DX8ixo/wDZ94S2flATK49fmoAu1S1gxjRb4zKzRC3feFOCRtOcGn/bH+0+T9iucf8APTC7emf72f0qnfXtxLpN6YtNufNELBEkRW3kjHTJz7igDWoqk1/IsSP/AGfeEtn5QEyuPX5qf9sf7SIfsVzg4/eYXaOP97P6UAWqKpLfyNHI39n3a7AMKQmW57fNQ1/IIkf+z7wliRtATK49fmoAHMf9twAq3m/ZpMHPGNyZ49elXazGup/7bgQWM/kmFgZdi4BJU9c8Drke3fFTLfyMkjf2fdrsGQCEy3Pb5qALtFUjfyCJX/s+8JYkbAEyMdz81P8Atj+esX2K5w2P3mF2jPr82eKALVUtJMZ05DErKm98Bjk/fOaFv5GWQ/2fdrsGQCE+bnoPmqtY3twmnRtLptyJC7goiKpA3HBxkdc/zoA1qKqfbX89I/sVzhsZfC7Vz6/N2pFv5GEn/Evu12DIyE+bnoPmoAuVS1Exg2nmKx/0lNu04weevtQb+QQiT+z7wksRswm4e/3ulQXl3OZrSOOwuCGlQu5RSEB69+CPWgDUrO8Qf8i3qn/XnL/6AalW+kYyf6BdjYCRkJ83PQfNWdr187eGNSY2N0u62lXBC5X5Dyfm6VMvhZM/hZX+H3/Ih6T/ANcj/wChGulrkfAd28fgzR4RaXDgxf6xQu0ZY9cnP6V0S30haQfYLobASCQvzY7D5qml/Dj6Iih/Cj6IxdB2/wDCZeLMA7vOts/9+Frpq5bw1K83ivxU7wSQgz22FkADf6hfQmuprQ1CiiigDD8aY/4QTxDnp/Zlz/6KatWxx/Z9tjp5S/yFZXjTP/CC+IcDJ/sy5/8ARTVZsb+Q6ZE50+7BWNBt2pluO3zUAadec/C3/j/8U/8AYQP83ruWv5Fjjb+z7tt4OVATK89/mrgPhjO0eqeJkEErhr9juUDC4L8HJr0sL/udf/t3/wBKN6f8Kfy/M9MqlKY/7btAVbzfs820g8Abo85H5frQt/I0Tv8A2feArj5SEy2fT5qrTXtwL60lXTblozDKGARSyncmOc8ZweM88enHmmBrUVV+2P8AafJ+xXOP+emF29M/3s/pTFv5Gjd/7PvAVx8pCZbPp81AF2iqTX8ixo/9n3jFs/KAmVx6/NT/ALY/2nyfsVzj/nphdvTP97P6UAM0oxmyYxKyr583DHJz5jZ/XNXaydPvbj7FI0um3KOsjkIERdwLnGBnrjBPr15qy1/IsSP/AGfeEtn5QEyuPX5qALtFVftj/aRD9iucHH7zC7Rxn+9n9KYt/I0cjf2fdrsAwpCZbnt81ABqZjEMHmKxH2mLG0453jH4VdrJv724NrA8em3LMZ03IUVioDDJ68ex/lVz7Y/2hYvsVzg4/eYXaMj/AHs/pQBaoqkt/IySN/Z92uwZAITLc9vmoN/IIlf+z7wliRsATIx6/NQBdqlbmP8AtW9CqwkCx7yTweDjFP8Atj/aFi+xXOGx+8wu0Z9fmzxVS3vbg3l67adcqiqhT5FDP1yM55/OgDVoqkb+QQrJ/Z94SSRsATI9z81O+2P56R/YrnDYy+F2rn1+btQBbqC92ixuN4JTym3AHBxiolv5GEn/ABL7tdgyMhPm56D5qhub6Y6fI6addF2VlCFUJ6cEjd0oAuWm02UGwEL5a4BPOMVNVCC8lVLaJrG5yyJuYKoVSQM554x9Ket9Ixk/0C7GwEjIT5ueg+agCDSp5Zr3WFkkZlivQkYJ+6vkxHA/Ek/jWnWZDKtss9xFpt4HuJt8i/KSW2qufvYAwoH4VYN64ljT7DdEOAS2FwufX5u3elFWWpMU0tTF1bb/AMJ/4ayDn7Ne4/KKulrk765kn+IPh9TaTRKtvegtIq4P+q6YJrrKZQUUUUAFc34Lx/ZupYB/5DF/n/wIeukrlPB11IttqUJs5yBq1+RIAu0/6RIfXPt0oA6uvOZP+S7w/wDYP/8AZTXcrfyNE7/2feAqQNpCZbPp81eey3Tj42QT/ZLgsbD/AFWF3jg++P1r0st/5e/4JG9D7Xoz0+qWqGMWkfmqzL9pgwFODnzUx+GcU/7Y/wBpMP2K5wM/vMLtPH+9n9Kp3l7cSWRaPTbnek0J2OisWHmLkgZPQA89uDXmmBrUVSa/kWNH/s+8YtnKgJlfr81P+2P9p8n7Fc4/56YXb0z/AHs/pQBaoqkt/I0Tv/Z94CuPlITLZ9Pmoa/kWJH/ALPvGLZ+UBMrj1+agAhMf9s3gVWEghi3EngjL4wPzq7WZHdTjWriNrGfyjHGFlCLjPzE5Ocnt9PxqZb+Ro3f+z7xSuPlITLfT5qALtFUmv5FiR/7PvCWz8oCZXHr81P+2P8AaRD9iucHH7zC7Rxn+9n9KAJp8fZ5NwJXac4+lRacUOl2hjBCeSm0MckDaMZqFr+V7aZhp12GVeFZUyx9vmqO1vp49MtWfTrrzDGAyIiDaQB23DA9KANOiqv2x/tCxfYrnBx+8wu0ZH+9n9KYt/IySN/Z92uwZAITLc9vmoAu1SujH/adiGVi5Mmwg8D5ec0G/kESv/Z94SxI2AJkY9fmqGa6nOqWaLYzmPnfKUUhcr6549/60AWX02wkvFvHsrZrpfuztEpcfRsZp01jaXMLQz2sEsTtuZHjDKx9SD3qJb+RlkP9n3a7BkAhPm57fNQb+QQrJ/Z94SSRsATI9z81KyL9pPTXYbNpzRaY9ppDW+nMfuMluCqevygrzj3pmkWF3YQvHdXcM44CLDbmJV6knBZiSSeTmp/tr+ekf2K5w2Mvhdq59fmzxSLfyMJP+JfdrsGRkJ83PQfNS5Ve5XtpuDg9nrsr/fv+ImmmMrdeWrD/AEmTduOcnPP4VdrJtL64SCWSTTbkFrh8IqIDt7E88/Wrf21/Ojj+w3WGxl8LtXPr83bvVGRXlnlHie1gEjCJrKZymeCweMA/kT+dadZvmLJem7Om3YmhiaNWO35lLKSAN3XKg8+lSm/k8kSf2feZLY2YTcPf73SkluSk1cx/Hm3/AIROTcCR9rs+n/XzFRVfxxdyt4b8tbK4+a6s23MqlV/0iI4PPWimUWfFYzf+F/mA/wCJwv4/uJq6Sua8V7ft/hfcD/yGFxj18iauloAKKKKACqdmuLzUD5ivumU7Rn5P3acH+f41cqlZGM3uo7FYMJ13knIJ8tOnpxigC7RRRQAVT1dd+jXy+asWYHHmNnC/KeTirlUtYMY0W+Mys0X2d94U4JG05wfWgC7RRRQAUUUUAU3X/idQN5qjFvIPL5yfmTn0/wD11cqk5j/tuAFW837NJg54xuTPHr0q7QAUUUUAFU9KXZp6DzVk+d/mXOD859auVS0kxnTkMSsqb3wGOT985/WgC7RRRQAVT1BdxtP3qpi4Q85+brxVyqWomMG08xWP+kpt2nGDzjPtQBdrO8Qf8i3qn/XnL/6Aa0SQBycVneIP+Rb1T/rzl/8AQDUy+Fkz+FmX8Pv+RD0n/rkf/QjXS1zXw+/5EPSf+uR/9CNdKCDnB6VNL+HH0RFD+FH0RzOgj/isvFh3A5mtuPT9wtdNXM6Dt/4TLxZgHd51tn/vwtdNWhqFFFFAGH40/wCRE8Q84/4llzz/ANsmrVsf+PC25z+6Xn8BWV40x/wgniHPT+zLn/0U1JqWv2vhzQbO9uoLqS3IRGaCPf5YK53N6Lx19xV06cqklCCu2NJydkbtec/C3/j/APFP/YQP83rutM1aw1myW8066juIG/iQ9D6EdQfY1wvwt/4//FP/AGED/N69DDxlHC4iMlZrl/8ASjeCapzT8vzPRqpyrnWbVvNUYgmHl85b5o+fwx+tZOo+NdHsNXh0lHmvL+RwhgtE8xo8nq3YY79/atWUx/23aAq3m/Z5tpB4A3R5yPy/WuCdGpTSc1a+xi4tWbRdooorMkKKKKAKelrss2HmrJ+/mO5c/wDPRuOfTp+FXKpaUYzZN5SsF8+bhjk58xs/rmrtABRRRQBT1Jd0MP7xY8XERyc8/OOOPWrlUtTMYhg8xWI+0xY2nHO8Y/DNXaACiiigAqnbrjVL1vNVsrH8gzleD1+tXKpW5j/tW9Cqwk2x7yTweDjFAF2iiigAqC8GbG4G4JmNvmPbjrU9QXu0WNxvBKeU24A4OMUALaDFnANwbEa/MO/HWpqhtNv2KDYCF8tcA9cYqagDO0y6muLvVUlfcsF2I4xgDavlRtj82J/GtGq9tZx2st1JGWLXMvnPk9G2KvHthBVilG9tSYppanNasM+P/DZ3AYtr3j14irpa5rVtv/Cf+Gsg5+zXuPyirpaZQUUUUAFc54LGNN1LnP8AxOL/APD/AEh66OuU8MXS2Xh/WrryZphDqmoOY4l3O+LiQ4UdyaaTbsgWp1decyf8l3h/7B//ALKa6zQPFekeJI2On3P75P8AWW8o2yp9V/qMiuTk/wCS7w/9g/8A9lNepgqU6U60JqzUJbnRSi4uSfZno1U9TXdaIPMWP/SIDuOecSoccevT8apa/wCKdI8NxK2o3IWV/wDVwRjdJJ9F/qeKfLeRX+iWl5Jb3ESTS27iKUbJEJlTbuHOMHGRXnOjUjBVGtHszFxaXM1oa1FFFZkhRRRQBThXGr3beapzDENnOV5fn8f6VcqlCY/7ZvAqt5nkxbiTwRl8YH51doAKKKKAGTDMEg3bflPPpxUOnDbplou8PiFBvHRuBzUs+Ps8m4ErtOcfSotOKHS7QxhgnkptDHJA2jGaALNFFFABVO5XOpWLeaq4L/Ic5b5e30q5VK6Mf9p2IZWLkybCDwPl5zQBdooooAKKKKAKenLtW5/erJm4kPGfl56VcqlppjK3Xlqw/wBJk3bjnJzzj2q7QBnSXUy+I7a0D/uHtJZGXA5YPGAc/Rj+daNV2s4m1GO+JbzY4nhAzxtYqT+PyirFJX1JSetzm/Hgz4UkG4L/AKXZ8n/r5iopPHm3/hE5NwJH2uz6f9fMVFMoXxVu+3+GNoz/AMThc8ZwPImrpK5vxWM3/hf5gP8AicL+P7iaukoAKKKKACqlp5n2u+3xhV85djbcbh5ac5785GfbHardU7Ndt5qB8xW3TKdoJ+T92nB/n+NAFyiiigAqpqnmf2TeeTGJJfJfYhXduODgY7/SrdU9XXfo16vmrFmBx5jEgL8p5OKALlFFFABRRRQBUfzP7XhxGDF5D5fb0bcmBn8+Pb2q3VN1/wCJ1A3mqMW8g8vJyfmTn/PrVygAooooAKqab5n2FfNjEb7nyoXb/EccfSrdU9KXZp6DzFk+d/mUnB+c+tAFyiiigAqpfeZ/o3lxh/367srnavOT7fWrdU9QXcbT96qYuEPJPzdeKAF1PTLTWLCWxvoRLbyY3Lkjocg5HI5FcTrjan4P0m8t555tR0K5gkhSWU7prR2UhQx/iQnAz2/n6DUF9ZwajYz2dym+CdDG6+oIxWdSnzK63MqtLmV1ozzbwfdar4g8N2Oj6XM9hY2se29v1H7xmJJ8uL0OCMt2z+foGj6LY6FZm1sY2VGcyOzuWZ3OMsxPUnAo0TR7XQdIt9NswfJhGMt95ieST7k1oVNKlyxXNuTQo8kVzau39WOa0Ld/wmPivK4XzrbBx1/cLXS1zOgjHjLxYdwOZrbj0/cLXTVsbhRRRQBh+NM/8IL4hwMn+zLn/wBFNWpZjOn24YDmJcjHtWX40/5ETxDzj/iWXPP/AGyatWx/48LbnP7pefwFAHF694buPDty/iTwrGIpoxuvLBOI7lBycL2Yc9Pw568F4O1HV9XvtV0nQi1q2p3JuJ7w9beHJzjH8R3Y/wA5HvFYug+F9N8OS38lhGytezGV92PlHZR/sjJx9a9rD5ooYecKseaelm/J9e9t192x1QxCUGpK76f15EmgeG9M8N2Yt9PtwrEfvJm5klPqzd/p0q3J5n9rW2IwYvJl3Pt+6cx4Ge2eeO+PardU5VzrNq3mqMQTDy8nLfNHz+GP1ryKlSVSTnN3bOZycndlyiiioEFFFFAFTTvM+yHzYxG3nS/KF28eY2Dj3GDnvnNW6p6Wu2zYeasn76Y7lJ/56Nxz6dPwq5QAUUUUAVNQ8zyofKjDnz48gruwu4ZP4Dv2q3VPUl3QwjzFjxcRHJJ5+ccfjVygAooooAKqQeZ/aN3ujCx7Y9j7cbuDnnvirdU7dcapet5qtlY/kBOV4PX60AXKKKKACobvd9jn2Lufy22rjOTjpjvU1QXg3WNwNwTMbDceg460AOtt32SHeu1ti5XGMHHTFS1DaDFnANwbEa/MO/HWpqAKGnXkt1danHJt2210Io8D+Hyo25/FjV+qtpZLaT3squWN1P5xBH3TsVMf+OZ/GrVKN7akxvbU5vVd3/CfeHMLkfZr3Jx0/wBVXSVzWrD/AIr/AMNncBi2vePXiKulplBRRRQAVzngzP8AZupZGP8Aib3+OP8Ap4kro65zwWMabqXOf+Jxf/h/pD0AR+JfB1vrJGoWD/YNbh+aC8i+Ukjs+OoPT/OD5W/inWF+IKXTabnXUt/sPkfwmbld305z/XHNe91it4X01vFa+IzGftyw+UOm3PTd/vY+X6V6+AzGNKMoV1zKzS/y9H+HQ6aNdRTU1fTT+uxR8NeDodKc6nqb/wBoa5N8013L820/3U9AOn+A4G7qPmfZk8qMSN58OQV3YXzFycewyc9sZq3VPU13WiDzFj/0iA7mJ5xKhxx69Pxrza1adafPN3f9bdkYSm5O7LlFFFZEhRRRQBUi8z+1LrdGBH5Ue19uNxy+Rnvjj6Z96t1ThXGr3beapzDENmTleX5/H+lXKACiiigBk2fJk2jLbTgYzmorDf8A2fbeYmx/KXcu3btOBkY7fSpZhmCQbtvynk9uKh04bdMtF3h8QoN46NwOaALNFFFABVS48z7fZ7YwyZfe23O35eOe1W6p3K51GxbzVXBf5CTlvl7fSgC5RRRQAUUUUAVLDzNtx5kYT9++3C7crng+/wBat1T05dq3P71ZM3Eh4J+XnpVygChJeSrr9vZDb5UlrLKeOdytGB+jGr9VWslbVYr/AHndHA8O3HBDMpz/AOOfrVqkr63JV9bnN+O93/CKybRk/a7PjGf+XmKijx4M+FJBuC/6XZ8n/r5ioplFLx/HPM/heG2u5LSWTW41E8aqzJ+4m5AYEfmDV4+HtbwP+Kz1XPf/AEW0/wDjNV/Gn/H/AOEf+w7H/wCiJq6ugDnf+Ef1rdn/AITPVcen2a0/+M0n/CPa3g/8VnqufX7Laf8AxmujooA5w+HtbwP+Kz1XPf8A0W0/+M0yPwxq0U0sqeMdVBlYM/8Ao1pyQoX/AJ4+gFdNRQBzg8Pa3g/8Vnquex+y2n/xmg+HtbwP+Kz1XPr9ltP/AIzXR0UAc7/wj+tbs/8ACZ6rj0+zWn/xmop/C+rXNtLbzeMdVeOVSjD7NaDIPB6Q109FAHOf8I9reB/xWeq59fstp/8AGaX/AIR/Wt2f+Ez1XHp9ltP/AIzVseJ9Jd5RHPLKkTFZJoreSSFCOoMiqUGO/PHfFXrDUbPVLQXdjcJcW5d0EkZypKMUbB74ZSM+1AGKPD2t4P8AxWeq57f6Laf/ABmj/hHtbwP+Kz1XPr9ltP8A4zXR0UAcyfDGrG7W5PjHVfMVCgP2a06Egkf6n1Ap48Pa3g/8Vnqvt/otp/8AGa1bLWLHUL69sraZmubJlW4jaNkKFs7fvAZBwcEZFXqAOc/4R7W8D/is9Vz6/ZbT/wCM0v8Awj+tbgf+Ez1XHp9ltP8A4zXRUUAc4PD2tc/8Vnqvt/otp/8AGajg8L6vbQCKLxjqqqCT/wAe1oepz/zx9TXT0UAc7/wj+tbgf+Ez1XHp9ltP/jNJ/wAI9rXP/FZ6r7f6Lacf+Qa6OigDnP8AhHtbxj/hM9Vz6/ZbT/4zTJfDGrTtGZPGOqkRuHUfZrT7w7/6mumooA5z/hHta5/4rPVfb/RbTj/yDR/wj2t4x/wmeq59fstp/wDGa6OigDnf+Ef1rI/4rPVcdx9ltOf/ACDSf8I/rXP/ABWeq+3+i2nH/kGujooA4nwZDc23jDxhbXV/LfSRz2v7+ZEVmzADyEVR7dO1dtXIeG/+R/8AGv8A12s//Sda6+gAooooAwfHBK+APEhHUaXdH/yE1UtP0HWn022b/hMtUXdEhAFraYHA4/1NXPHP/JPvEn/YKuv/AEU1aumf8gqz/wCuCf8AoIoAxj4e1vA/4rPVc9/9FtP/AIzS/wDCP61uz/wmeq49Pstp/wDGa6KigDnP+Ee1vB/4rPVc+v2W0/8AjNRt4X1Zp45z4x1XzY1ZA32a06MQTx5P+yPyrp6KAOd/4R/Wt2f+Ez1XHp9mtP8A4zSDw9reD/xWeq59fstp/wDGa6OigDnD4e1vA/4rPVc9z9ltP/jNL/wj+tbs/wDCZ6rj0+zWn/xmuiooA5iDwvq1tEY4vGOqhSzN/wAe1p1Ylj/yx9Sak/4R7W8D/is9Vz6/ZbT/AOM1o3Wv6da3xsmlllulUM8NtBJOyA9CwRTtz2zjPapLDWdO1OeaGyukmlgVWmRc5j3ZwGB6H5TweRjkCgDL/wCEf1rdn/hM9Vx6fZrT/wCM0g8Pa3g/8Vnque3+i2n/AMZro6KAOYm8L6tcIiyeMdVOxw4/0a06g5H/ACx9RUv/AAj+tbs/8JnquPT7Laf/ABmtSfWLG21e10qaZkvLpWaBDG2JAoJbDY25AGcZz+dXqAOcHh7W8H/is9V9v9FtP/jNH/CPa3gf8VnqufX7Laf/ABmujooA53/hH9a3A/8ACZ6rj0+y2n/xmok8L6tHNLMvjHVfMlADH7Nadun/ACxrp6KAOc/4R7W8f8jnqufX7Laf/GaX/hH9a3A/8JnquPT7Laf/ABmuiooA5z/hHta5/wCKz1X2/wBFtOP/ACDTZPDesSwtE/jLVSrAq3+jWnIP/bGulooA5tPDesRoiJ4y1UIgCgfZrToP+2NL/wAI9rXP/FZ6r7f6Lacf+Qa6OigDnP8AhHtbxj/hM9Vz6/ZbT/4zS/8ACP61kf8AFZ6rjuPstpz/AOQa6KigDgpbG/0/4leGVu9bu9SWW2vtouIoU2YEXTy0XOc989K72uS1z/kpfhL/AK9tQ/8AQYa62gAooooAK8+8K6Vql7FrE1v4lv7KH+2r9RBDBbsq4uH5y8bN+teg1y3gT/kG6v8A9hzUP/Sh6AJv+Ee1vB/4rPVc+v2W0/8AjNB8Pa3gf8Vnqvv/AKLaf/Ga6OigDnf+Ef1rdn/hM9Vx6fZbT/4zUU3hfVriLy5fGOqsA6OP9GtBgqwYf8sfUCunooA5w+HtbwP+Kz1XPf8A0W0/+M0v/CP61uz/AMJlquPT7Naf/Ga6KigDnB4e1vB/4rPVc9j9ltP/AIzQfD2t4H/FZ6rnufstp/8AGa6OigDmV8Masl1JcL4x1UPIqq3+jWnIGcf8sfc08eHtbwf+Kz1XPb/RbT/4zWtqOr2OlCL7ZPseZtsUaIzySH0VFBZvwFQw+IdLmvILMXJju52Kx280TxSNhSxOxgDjCnnGOMZzQBn/APCPa3gf8VnqufX7Laf/ABml/wCEf1rdn/hM9Vx6fZbT/wCM10VFAHNt4c1l0ZG8Z6qQwx/x62n/AMZpsXhnWIII4Y/GWqqkahVH2a0PA4H/ACxrY1XWLHRLZbnUJmhgZ1j8wRswDMcDJUHGSQMn1q9QBzv/AAj+tbs/8JnquPT7Laf/ABmkHh7W8H/is9V9v9FtP/jNdHRQBzn/AAj2t4H/ABWeq59fstp/8Zpj+GNWkuIpm8Y6qWizt/0a04yMH/ljXTUUAc4PD2t8/wDFZ6r7f6Lacf8AkGj/AIR7W8f8jnqufX7Laf8AxmujooA53/hH9a3A/wDCZ6rj0+y2n/xmk/4R7Wuf+Kz1X2/0W04/8g10dFAHMReF9WgVxH4y1VS7l2P2a0OSev8AyxqX/hH9ayD/AMJnquO4+y2n/wAZroqKAOc/4R7Wuf8Ais9V9v8ARbTj/wAg0f8ACPa3jH/CZ6rn1+y2n/xmujooA878b6Tqtl4Za5m8T6hdxpd2e6CW3tlV83MQ5KRBu+eD2orZ+JH/ACJM/wD192X/AKVRUUAHjT/j/wDCP/Ydj/8ARE1dXXKeNP8Aj/8ACP8A2HY//RE1dXQAUUUUAFFFFABRRRQAVxnxY1K90n4Y63d2DtHcCNIw69UV3VGI/wCAsee3WuzqvfWNtqdhcWN5Cs1tcRtHLG3RlIwRQBBbR2OhaLbQQjy7K2iSKMIhbCgADgCuX0/XdF0Xw5Y2/hyaK9iv9Te3syvESyTSSStyB91Bv4H90DjNbGnaVrWk2SadBqVvcWsSCO3muYWM0agYAfDASEDv8vvk8mhZeArWw8KadosN7K0mmXjXtndSKCyyGR3G4DAYYdlPTIJxg9ADQOt3Fj4kttFvlilkvbaWe1lhUoGMZXehUk4OHUg5556Y5zLHxhcNqWiWl6tp5ups8MtvC4aSzlWNpNrkMwbhGHbnHHYX7nwxJqeoPf6je5uFspbO2NshjFuJMb3GSSXO1eegx071n/8ACFXZ03QrRNUggbReLd4LUqHHlNESRv4ba2Rg8HnnOAAWNE/5KH4s/wCuVj/6BJVzxlq954f8KX2r2IgaSzTzWSZGYOo6gYIwffmjTNCvLHxPqurS38EsV+sS+QtsVZBGCF+fec8Mc8D8Kl8V6JN4j8N3mjw3kdp9rQxvK8Jlwp64G5eenOfwoAo6hr2q6R5SXttZmbULyG009Y3b7zqWbzP9za3I+9gfdzRqOuapYaqmjKtnLf3dpLcWEhRlSRoiu+Nl3Eg4ZSGz3PHHN3VdCfWdPs0u7pFv7O5S7guYoiqrKucHYWOVIJUjdyCcEcYItCkl8Qw61qNwk9zbQPBbRxRlEiDkF25JJY7VHbAGMd6AOf0zxpfXsvhRn+xC31uJjKVicNBKFLeX97GTtdee6Hg9B02hXOo3lnJcah9lw0riD7OrANGGIVjkn7wAPHY96w38BQjTdUtbfUJYJLq+F7azKgzZsJPNCoO43mQ/RyK6yCGO2t44IVCxRqERR2AGAKAJKKKKACiiigAooooAKKKKAOQ8N/8AI/8AjX/rtZ/+k6119ch4b/5H/wAa/wDXaz/9J1rr6ACiiigDA8c/8k+8Sf8AYKuv/RTVq6Z/yCrP/rgn/oIrK8c/8k+8Sf8AYKuv/RTVq6Z/yCrP/rgn/oIoAtUUUUAFFFFABRRRQAVFcSPFayyRpvdELKv94gcCpaKAOF+Esgm+HFnqs7+bd38k93dzYy0khkYEnHoABj0Aq5DrPhqw1PxHrNteK88dok2owxxkMgiVyGYEDDFSAAeu0VcsfD91oNzcDRLiBdPuZmnayuEOIpGOWMbKflUnnaQeScEdKjsvB0Md14iuNQuTeHX40S8jCbEAVGjwvJIGwgcknIznngAjuPEt9pmhWGu6jFbLZXLwCaGMHfbrMyqp3E4fBZQeB3I6YMHiDxfdaFFrF1NHaRx6dtkjtpJAZbuLaCzrhsr1YDK9V9+LT+FJ7vSrDSNQ1FbjTbN4m2iHbJOIiDGHbcR1VScAbsdulVrnwRJcWHiTTv7RUW2uSySyymDM0e9Qu3duwVGBjjgce9AEuvsH8b+DWHQy3RH/AH4NdRMJTA4gZElKnYzqWUHtkAjI/EVzUvhrU5dU0S+fV7ctpjSuytZsfNMgKkA+Z8oAOAOcY79K6WUSGFxC6JKQdrOpYA+pAIz+YoA43RfFmq3PhhPEmqW9lFpcdrcTXXlFvMUxMQCoOQQdr8E54HPOBbufEt9pmg2Gu6hFbLZXLwCaKMNvt1mZVU7icPtLKDwO5HTBn0Pws2n+EpPDupXUV/avHJExSAwlkkLFgfnb+8Rxio38KT3elWGkahqK3Gm2bxNtEO2ScREGMO24jqqk4A3Y7dKAMW/8Z63p2meIpp4tP+16NdJG0KxSHzYGVWEow2fuknHOPLYZ7jqrS81G51yaIPZyabFBG3mxq29pGBO3rjGAG+jj61DP4XtrjxX/AG48hIez+zTW235JSC21z7hZJV+j+1TeGtDHh3Q4NO+0vdNEMGeQYZwPlXP0QKv/AAGgDXooooAKKKKACiiigAooooA5LXP+Sl+Ev+vbUP8A0GGutrktc/5KX4S/69tQ/wDQYa62gAooooAK5bwJ/wAg3V/+w5qH/pQ9dTXLeBP+Qbq//Yc1D/0oegDqaKKKACiiigAooooAKKKKAOC8LyvqPxU8Zz3nM2nra2lqrf8ALKFkLnH+83J+g9K2NUu9Al8VaMt1drFq1rLJ9liMZ3yBoyrqOORyCSP7oqe+8PP/AG6Nd0q5S11FohBcCSPfFcxg5AcAghhk4YHjJBBHFRS+HLjUPE+k69f3iLNpiyrDbwJ8mJU2vlick8KR0xjGDnNACWeuX+tJqtxpSWwhsbmS1jSZWJuJI+H+YEBBuyoOG6Z9qgh8XHU7DRdQsvs9rp2pWzTG7u2UiN/l2xbd6ksctyM/d981Zh8OXWnf2nFpOoR21vqE73LCSAu0Mj/fZDuA5PzYIOCSeRxVe08GR6RqWl3Wk3CRxafp50+OC4jMgClg29SCMMcc+vtQBja/rn/CRfCe41BohFIbmOGRFbK747tY2IPoSuR7GvQ64eTwFe/8I5e6LDriLBcXPnq0toXKZnM5GBIASWOM8cAcd67WISCJBMyvIFG9kXaCe5AJOB7ZNAHKwa14huvEWs6VbQ6dINOlt2DyB03xSckdT8wUNz0JA454mtfEN/q2m6lqmmR2xtbSaaGKOUNuuDESGO4HCAsCBw3TPfAs6ZoV9YeJtV1aTULeWLUPLzAtqUZBGpVcP5hzweePyqCPwxcWVpqVhpmoJbWV9LLKVaDe8DScybDuA5JJGQcE9xxQBQt/F95f6tpQtms4tK1fTXvbOeaNiwdQpMbgMBkBt2fRSO2adofiTWdc0jSLmKOxjurm5livIXjkHkLGWDYGc5BUDnGd69O93UfBdhd6No+mW7vaw6VJGYSvJMaqUeMn0ZGZSffNXNN8PR6br+qamk7Mt8yusBGFhbaokKn/AG9iE+6+5oA2aKKKACiiigAooooAKKKKAOU+JH/Ikz/9fdl/6VRUUfEj/kSZ/wDr7sv/AEqiooAg+IF5bae/he8vLiO3todbjaSaVgqoPJmGSTwOtXv+Fg+Df+hp0b/wNj/xrpKKAOb/AOFg+Df+hp0b/wADY/8AGj/hYPg3/oadG/8AA2P/ABrpKKAOb/4WD4N/6GnRv/A2P/Gj/hYPg3/oadG/8DY/8a6SigDm/wDhYPg3/oadG/8AA2P/ABo/4WD4N/6GnRv/AANj/wAa6SigDm/+Fg+Df+hp0b/wNj/xo/4WD4N/6GnRv/A2P/GukooA5v8A4WD4N/6GnRv/AANj/wAaP+Fg+Df+hp0b/wADY/8AGukooA5v/hYPg3/oadG/8DY/8aP+Fg+Df+hp0b/wNj/xrpKKAOb/AOFg+Df+hp0b/wADY/8AGj/hYPg3/oadG/8AA2P/ABrpKKAOb/4WD4N/6GnRv/A2P/Gj/hYPg3/oadG/8DY/8a6SigDm/wDhYPg3/oadG/8AA2P/ABo/4WD4N/6GnRv/AANj/wAa6SigDm/+Fg+Df+hp0b/wNj/xo/4WD4N/6GnRv/A2P/GukooA5v8A4WD4N/6GnRv/AANj/wAaP+Fg+Df+hp0b/wADY/8AGukooA5v/hYPg3/oadG/8DY/8aP+Fg+Df+hp0b/wNj/xrpKKAOb/AOFg+Df+hp0b/wADY/8AGj/hYPg3/oadG/8AA2P/ABrpKKAOI8F6hZ6r4x8ZX2n3UN3aST2gSeBw6MRAoOCODg129FFABRRRQBgeOQT8P/EgHJ/su6/9FNVHT/H/AIPj021R/FGjqywoCDeR5BwPeutooA5v/hYPg3/oadG/8DY/8aP+Fg+Df+hp0b/wNj/xrpKKAOb/AOFg+Df+hp0b/wADY/8AGj/hYPg3/oadG/8AA2P/ABrpKKAOb/4WD4N/6GnRv/A2P/Gj/hYPg3/oadG/8DY/8a6SigDm/wDhYPg3/oadG/8AA2P/ABo/4WD4N/6GnRv/AANj/wAa6SigDm/+Fg+Df+hp0b/wNj/xo/4WD4N/6GnRv/A2P/GukooA5v8A4WD4N/6GnRv/AANj/wAaP+Fg+Df+hp0b/wADY/8AGukooA5v/hYPg3/oadG/8DY/8aP+Fg+Df+hp0b/wNj/xrpKKAOb/AOFg+Df+hp0b/wADY/8AGj/hYPg3/oadG/8AA2P/ABrpKKAOb/4WD4N/6GnRv/A2P/Gj/hYPg3/oadG/8DY/8a6SigDm/wDhYPg3/oadG/8AA2P/ABo/4WD4N/6GnRv/AANj/wAa6SigDm/+Fg+Df+hp0b/wNj/xo/4WD4N/6GnRv/A2P/GukooA5v8A4WD4N/6GnRv/AANj/wAaP+Fg+Df+hp0b/wADY/8AGukooA5v/hYPg3/oadG/8DY/8aP+Fg+Df+hp0b/wNj/xrpKKAOAl8QaNr3xL8Mf2Rqlnf+RbXxl+zTLJsyIsZweM4P5V39FFABRRRQAV574V8XeHNHh1mz1LXdOs7ldavy0M9yiOAbhyDgnPIr0KigDm/wDhYPg3/oadG/8AA2P/ABo/4WD4N/6GnRv/AANj/wAa6SigDm/+Fg+Df+hp0b/wNj/xo/4WD4N/6GnRv/A2P/GukooA5v8A4WD4N/6GnRv/AANj/wAaP+Fg+Df+hp0b/wADY/8AGukooA5v/hYPg3/oadG/8DY/8aP+Fg+Df+hp0b/wNj/xrpKKAOb/AOFg+Df+hp0b/wADY/8AGj/hYPg3/oadG/8AA2P/ABrpKKAOb/4WD4N/6GnRv/A2P/Gj/hYPg3/oadG/8DY/8a6SigDm/wDhYPg3/oadG/8AA2P/ABo/4WD4N/6GnRv/AANj/wAa6SigDm/+Fg+Df+hp0b/wNj/xo/4WD4N/6GnRv/A2P/GukooA5v8A4WD4N/6GnRv/AANj/wAaP+Fg+Df+hp0b/wADY/8AGukooA5v/hYPg3/oadG/8DY/8aP+Fg+Df+hp0b/wNj/xrpKKAOb/AOFg+Df+hp0b/wADY/8AGj/hYPg3/oadG/8AA2P/ABrpKKAOb/4WD4N/6GnRv/A2P/Gj/hYPg3/oadG/8DY/8a6SigDm/wDhYPg3/oadG/8AA2P/ABo/4WD4N/6GnRv/AANj/wAa6SigDznxx4w8Nat4Xex07X9Nu7uW8sxHBBco7vi5iJwAcngE/hRXo1FAH//Z) +![md5:e32fae3dda39312392784826dede21f0](e32fae3dda39312392784826dede21f0.jpeg) Thus the problem is solved in three attempts, as promised. @@ -348,7 +348,7 @@ All \(s - 1\) cells in the first row (which has no monsters). The center \(s - 3 For \(s = 12\) , the happy triangle is the region shaded in the thick border below. -![](data:image/jpeg;base64,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) +![md5:dad22705de1fce8f8c261a2f7896a60a](dad22705de1fce8f8c261a2f7896a60a.jpeg) @@ -359,12 +359,12 @@ Then solutions roughly must distinguish between these two cases: - Inside happy triangle: If the first monster \(M_{1}\) is found in the happy triangle, and there is a safe path found by Turbo to the two shoulders (marked \(\bigstar\) in the figure), then one can finish in two more moves by considering the two paths from \(\bigstar\) that cut under the monster \(M_{1}\) ; one of them must work. This slightly generalizes the easier case in the solution above (which focuses only on the case where \(M_{1}\) is in the first row). -![](data:image/jpeg;base64,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) +![md5:3175236353305dd0f580909258076064](3175236353305dd0f580909258076064.jpeg) - Outside happy triangle: Now suppose the first monster \(M_{1}\) is outside the happy triangle. Of the two shoulders, take the one closer to the center (if in the center column, either one works; if only one shoulder, use it). If there is a safe path to that shoulder, then one can take a staircase pattern towards the center, as shown in the figure. In that case, the choice of shoulder and position guarantees the staircase reaches the bottom row, so that if no monster is along this path, the algorithm ends. Otherwise, if one encounters a second monster along the staircase, then one can use the third trial to cut under the monster \(M_{1}\) . -![](data:image/jpeg;base64,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) +![md5:2999c12eb3add7cd6a970f6aa2f09813](2999c12eb3add7cd6a970f6aa2f09813.jpeg) We now prove the following proposition: in any valid strategy for Turbo, in the case where Turbo first encounters a monster upon leaving the happy triangle, the second path must outline the same staircase shape. @@ -373,12 +373,12 @@ We now prove the following proposition: in any valid strategy for Turbo, in the The monsters pre- commit to choosing their pattern to be either a NW- SE diagonal or NE- SW diagonal, with a single one- column gap; see figure below for an example. Note that this forces any valid path for Turbo to pass through the particular gap. -![](data:image/jpeg;base64,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) +![md5:69c3e768ef9150ab18e8736660ec2886](69c3e768ef9150ab18e8736660ec2886.jpeg) We may assume without loss of generality that Turbo first encounters a monster \(M_{1}\) when Turbo first leaves the happy triangle, and that this forces an NW- SE configuration. -![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIwAgsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD1Px746g8C6ZbXctk93JcS+WkavsHAySTg/wAq4X/hfUv/AEKF1/4En/43Tv2hP+QHov8A18v/AOgivXYf9RH/ALo/lXtuWCwmBo1qtH2kpuX2mrWa7epn70pNJ2seQf8AC+pf+hPuv/Ak/wDxuj/hfUv/AEJ91/4En/43XsVFcv8AauXf9An/AJUkPkn/ADfgeO/8L6l/6E+6/wDAk/8Axuj/AIX1L/0J91/4En/43XsVFH9q5d/0Cf8AlSQck/5vwPHf+F9S/wDQn3X/AIEn/wCN0f8AC+pf+hPuv/Ak/wDxuvYqKP7Vy7/oE/8AKkg5J/zfgeO/8L6l/wChPuv/AAJP/wAbo/4X1L/0J91/4En/AON17FRR/auXf9An/lSQck/5vwPHf+F9S/8AQn3X/gSf/jdH/C+pf+hPuv8AwJP/AMbr2Kij+1cu/wCgT/ypIOSf834Hjv8AwvqX/oT7r/wJP/xuj/hfUv8A0J91/wCBJ/8AjdexUUf2rl3/AECf+VJByT/m/A8d/wCF9S/9Cfdf+BJ/+N0f8L6l/wChPuv/AAJP/wAbr2Kij+1cu/6BP/Kkg5J/zfgeO/8AC+pf+hPuv/Ak/wDxuj/hfUv/AEJ91/4En/43XsVFH9q5d/0Cf+VJByT/AJvwPHf+F9S/9Cfdf+BJ/wDjdH/C+pf+hPuv/Ak//G69ioo/tXLv+gT/AMqSDkn/ADfgeO/8L6l/6E+6/wDAk/8Axuj/AIX1L/0J91/4En/43XsVFH9q5d/0Cf8AlSQck/5vwPHf+F9S/wDQn3X/AIEn/wCN0f8AC+pf+hPuv/Ak/wDxuvYqKP7Vy7/oE/8AKkg5J/zfgeO/8L6l/wChPuv/AAJP/wAbo/4X1L/0J91/4En/AON17FRR/auXf9An/lSQck/5vwPHf+F9S/8AQn3X/gSf/jdH/C+pf+hPuv8AwJP/AMbr2Kij+1cu/wCgT/ypIOSf834Hjv8AwvqX/oT7r/wJP/xuj/hfUv8A0J91/wCBJ/8AjdexUUf2rl3/AECf+VJByT/m/A8d/wCF9S/9Cfdf+BJ/+N0f8L6l/wChPuv/AAJP/wAbr2Kij+1cu/6BP/Kkg5J/zfgeO/8AC+pf+hPuv/Ak/wDxuj/hfUv/AEJ91/4En/43XsVFH9q5d/0Cf+VJByT/AJvwPHf+F9S/9Cfdf+BJ/wDjdH/C+pf+hPuv/Ak//G69ioo/tXLv+gT/AMqSDkn/ADfgeO/8L6l/6E+6/wDAk/8Axuj/AIX1L/0J91/4En/43XsVFH9q5d/0Cf8AlSQck/5vwPHf+F9S/wDQn3X/AIEn/wCN0f8AC+pf+hPuv/Ak/wDxuvYqKP7Vy7/oE/8AKkg5J/zfgeO/8L6l/wChPuv/AAJP/wAbo/4X1L/0J91/4En/AON17FRR/auXf9An/lSQck/5vwPHf+F9S/8AQn3X/gSf/jdH/C+pf+hPuv8AwJP/AMbr2Kij+1cu/wCgT/ypIOSf834Hjv8AwvqX/oT7r/wJP/xuj/hfUv8A0J91/wCBJ/8AjdexUUf2rl3/AECf+VJByT/m/A8d/wCF9S/9Cfdf+BJ/+N0f8L6l/wChPuv/AAJP/wAbr2Kij+1cu/6BP/Kkg5J/zfgeO/8AC+pf+hPuv/Ak/wDxuj/hfUv/AEJ91/4En/43XsVFH9q5d/0Cf+VJByT/AJvwPHf+F9S/9Cfdf+BJ/wDjdH/C+pf+hPuv/Ak//G69ioo/tXLv+gT/AMqSDkn/ADfgeO/8L6l/6E+6/wDAk/8Axuj/AIX1L/0J91/4En/43XsVFH9q5d/0Cf8AlSQck/5vwPHf+F9S/wDQn3X/AIEn/wCN0f8AC+pf+hPuv/Ak/wDxuvYqKP7Vy7/oE/8AKkg5J/zfgeO/8L6l/wChPuv/AAJP/wAbo/4X1L/0J91/4En/AON17FRR/auXf9An/lSQck/5vwPHf+F9S/8AQn3X/gSf/jdH/C+pf+hPuv8AwJP/AMbr2Kij+1cu/wCgT/ypIOSf834Hjv8AwvqX/oT7r/wJP/xuj/hfUv8A0J91/wCBJ/8AjdexUUf2rl3/AECf+VJByT/m/A8d/wCF9S/9Cfdf+BJ/+N0f8L6l/wChPuv/AAJP/wAbr2Kij+1cu/6BP/Kkg5J/zfgeO/8AC+pf+hPuv/Ak/wDxuox+0La4+fw5OrdwLoH/ANlr2avizVf+Qxe/9fEn/oRr38ioZbm0pp4fl5bfbk97+nYyqudO2p7n+0J/yA9F/wCvl/8A0EV67D/qI/8AdH8q8i/aE/5Aei/9fL/+givXYf8AUR/7o/lXgZp/yLMJ61PzRrD45fIfRRRXzpsFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQBxHiDxJY6b43g03X9Qk07TJbESWkvnNBHLPvYOGkUjBVQmASB8x74qabVn8MeHte1uW+n1OwBM+nsmZ8IIlwuVz8u9W+Y+uSe9X9RurW51e70vWdLE+mLBFIks1r5sJdi4ZW4IBAUHJ4568iuXTww8fhDxxY6HaSRadfxyf2daFSoLmHDlFbkKz8DoOCRwRWisI7iDWrRtJ/tCZ3hiUKHaaF4/mOMABgCckgDGck4HNSQavZXP2oRSOZLUBpojE4kQEZB2EbuQDjA5wcVzWuXt3e+EgttpRuIGltYnFxZs5jTcpeXySMts4IGOo9qgszc2XxBub/wArUbu0uNMhhFzJbn5mjkkZ/uIAMK4wMAtzjNTygb1t4v0K8EJtr4ymdJHiVIZCz+X98BduSw7r15HHNV/D3imHxD4efUUW6hz5zKfskmVQOyqRlcM2AMgZ5zxVX4dIYvC4gls7m2uEurl3W5tXiOHnkZSN4GcqV6dOM1H4He40rw1badd2lxG1mLj7QDA5IbziV24HzhlJPy54xTaWoF/TvEWmWXh3SJ7zWnvY7vbDFfvbsgncnaC2FwmTxzita01WyvbqW1hlP2iJFkeKSNkYK2QrYYAkEqRkccGvNo4rj/hV/huxk0zUjPDqVs08B0+YsiJcK7krtzjbznv2zXSpOT8Unuvs16ts2jrD9oe0lWPeJWfBcrtHynPJ9utDiBsP4q0ZCP8AS2YMXCNHDI4kKZ3hCFIfGDnbnGD6Vrq6tGHGSpGRx2+leVaFdaXZ2Ph+PUpNRg0/SJWlt5G0yUQhiGRS1yMoyAO2G4DfKSfX1cnAJ9KUlYDFtfFuh3k0UMN8PNlna2VHidD5oBJQ7gMHCtweuD6VY/t7TN+37UNvm+T5uxvK8zONvmY25z8uM9eOvFc94ORpF8SR/Zry0luNUuLiKSe0kiyrBVVwXUZ6fXisg2N8fhKPCQsLj+2fsosdvlNsEmceb5mNu3+Pdn2+9xT5VcDsJPFeixSX8cl2ytp67rseRJ+5HYt8vAxzn056c1OniDTHuLK3W4bzb6MyWy+S48xR1PTgdOvqPUVzms6Ler4qtGt4pJ7TV7L+ztTcDAUIdyu2OmUMyZ9WWrfguzv7e1MGpRSK2lhtOtnkHMsatxKPUMgi/FDSsrXA6uiiipGFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV8War/AMhi9/6+JP8A0I19p18War/yGL3/AK+JP/QjX33Avx1/SP6nLitke5/tCf8AID0X/r5f/wBBFeuw/wCoj/3R/KvKfj7ZXNz4f0mSCCSVUuyrFFJwWXC9PU8fWqafGfXERV/4Qa6OBj/Wv/8AG64a2XYjH5bh1h0m4ud9UrXatu0UpqM3c9lorxv/AIXTrn/QjXX/AH9f/wCN0f8AC6dc/wChGuv+/r//ABuvN/1azL+Rf+BR/wAy/bQ7nslFeN/8Lp1z/oRrr/v6/wD8bpB8c723urdNQ8Iz20UrhcmchiO+0MgBPPTIo/1azPpTX/gUf8w9tDuey0Vg/wDCRXnP/FLa3x/17/8Ax6j/AISK8xn/AIRbW/8AyX/+PV4Jqb1FYX/CQ3mQP+EW1rnv/o//AMepP+EivOf+KW1rj/r3/wDj1AG9RXPSeJ7mLyw/hjWgZG2KP9H5OCf+e3oDT/8AhIbzIH/CLa1z/wBe/wD8eoA3qKwf+EivOf8Ailta4/69/wD49R/wkV5jP/CLa3/5L/8Ax6gDeorC/wCEhvMgf8ItrXP/AF7/APx6o38T3MciI3hjWg0hKoP9H5IBP/Pb0BoA6GisH/hIrzGf+EW1v/yX/wDj1H/CQ3mQP+EW1rn/AK9//j1AG9RWD/wkV5z/AMUtrXH/AF7/APx6j/hIrzGf+EW1v/yX/wDj1AG9RXPN4nuUljibwxrQeTO0f6Pzjr/y2p//AAkV5k/8UtrXH/Xv/wDHqAN6isH/AISK8xn/AIRbW/8AyX/+PUf8JFeZH/FLa1z/ANe//wAeoA3qKwf+EivMkf8ACLa1x/17/wDx6mN4ouVlSM+GNaDuCVX/AEfkDGf+W3uKAOhorB/4SK8yP+KW1rn/AK9//j1H/CQ3mSP+EW1rj/r3/wDj1AG9RWD/AMJFeYz/AMItrf8A5L//AB6j/hIrzj/ilta5/wCvf/49QBvUVzx8T3IuBAfDGteYVLgf6PyBgH/lt7in/wDCRXmM/wDCLa3/AOS//wAeoA3qjnhjuYJIJkDxSKUdT0YEYIrF/wCEivOP+KW1rn/r3/8Aj1L/AMJDeZI/4RbWuP8Ar3/+PUAOk8NxzaWdLm1C9l08x+S1uxT548Y2Fgu4jHHXJ9a28YGBWD/wkV5jP/CLa3/5L/8Ax6mHxPcicQ/8IxrXmFd+3/R+mcf89qdwOhorB/4SG8yR/wAItrXH/Xv/APHqP+EivMZ/4RbW/wDyX/8Aj1IDeorB/wCEivOP+KW1vn/r3/8Aj1L/AMJDeZI/4RbWvr/o/wD8eoA3aK54eKLkzGL/AIRjWvMChiv+j9CSM/672p//AAkV5x/xS2t8/wDXv/8AHqAN6isL/hIbzcR/wi2tfX/R/wD49Sf8JFeYz/wi2t/+S/8A8eoA3qKwT4ivMD/iltb5/wCvf/49TR4muWuHgHhjWvMRQzD/AEfgHOP+W3saAOgorB/4SK8wT/wi2t/+S/8A8eo/4SK8wP8Ailtb5/69/wD49QBvUVhf8JDebsf8ItrX1/0f/wCPUn/CRXmCf+EW1v8A8l//AI9QBvUVzy+KLlpXjXwxrRdACw/0fjPT/lt7VJ/wkN5ux/wi2tfX/R//AI9QBu0Vg/8ACRXmCf8AhFtb4/69/wD49QfEV4AD/wAItrfP/Xv/APHqAN6isL/hIbzdj/hFta+v+j4/9HVGnie5keRF8Ma0WjIDD/R+MjI/5bUAdDRWD/wkV5gH/hFtb5/69/8A49S/8JDebsf8ItrX1/0fH/o6gDdorB/4SK8wT/wi2t8f9e//AMeo/wCEivMA/wDCLa3z/wBe/wD8eoA3qK8eu/jdeDVbuzsPCVxcC2kMbZnO8YOPmCqwHIPc/Wmf8Lp1z/oRrr/v6/8A8br3Y8N5k0n7Na/3o/5mXtodz2SivG/+F065/wBCNdf9/X/+N0f8Lp1z/oRrr/v6/wD8bp/6tZl/Iv8AwKP+Ye2h3PZK+LNV/wCQxe/9fEn/AKEa9v8A+F065/0I11/39f8A+N14dfiZ9QuHlgeGR5GZo2BBUk5xX1vCmXYjL5VXiUo81rap7X7NnPXmp25T618aEDTdNyM/8Tiw/D/SErpK5zxnu/s3Ttpx/wATewz9PtEdaE8z3OuxWKuyxQRC5m2nBYliIx9Mq5P+6O2a+EbsdsIczflqadFc74xur2z0dp9PuHiuIUechcHKIpY5BHqFH41d1rVVsNEnvImG4QPMp9FC5J/l+JFS5pNp9DaOFnKMJR+02vuNWvGfj39/wv8A9fEv/tOvS7S01H/hGIPNupZNUEKy73IH73bnGAB8ucjHoa8s+Nd5HqNj4OvYv9XcM8q+wYRn+te1w9K+Y0/n/wCkswxNLlhJp3Sdv69T2qiiivlxhRRRQBUvWVZrEGMMTcYBJPynY3P+fWrdVrrzfNtPLbA875+QMrtbj35xVmgAooooAKqXbKLyxBjDEysA2T8vyNz/AE/GrdVrjzftVnsbCeY3mDOMjY2PrzigCzRRRQAUUUUAVLhlGoWYMYYkvhsn5flq3VafzfttrsbEeW3jOM8ccd6s0AFFFFABVSZlGqWqmMFjHJh8n5fu/wA/6VbqtL5v9oW+1sRbJN65HJ+XHH50AWaKKKACiiigCo7L/bEC+WCxt5CHycgbk4/z6Vbqs/m/2nDhv3PkvuXI5bcmDj6ZqzQAUUUUAFVCy/2uq+WN3kE78npuHFW6rHzf7TX5v3Pkn5c/xZHOPpQBZooooAKKKKAKisv9sSL5Y3fZ1O/Jzjc3FW6rDzf7Tf5v3Xkrhc/xbjzj6YqzQAUUUUAFVImU6vcqIwGEERL5OTzJx+H9at1Wj83+0p8tmLyo9q5HBy+ePy/KgCzRRRQAUUUUAVIGU6ndqIwGCx5bJ+brVuq0Xm/b7nc2Y9qbBkcdc8dqs0AFFFFABVS2ZTf3oEYUhky2T83yirdVoPN+2Xe9spuXYMg4+UZ47c0AWaKKKACiiigDx34Pf8j140/6+P8A2rJXs1eM/B7/AJHrxp/18f8AtWSvZq+pz7/fX6R/9JRhS+EKKKK8c0Cvlv4iOg+IGtZhB/0g85PoK+pK+X/iH9o/4T/WcPx9o4+cegoA988aY/s3TcnH/E4sMf8AgQlXY1MHi+4Zvu3djFsPvE77h+Uq1S8aHGm6bxn/AInFh+H+kJW/NbxzmJnHzROHRgcFT/8AqyD7Gpaua05qN09mrfr+aRl3ME+o317bzWUsdsbRoIpmZCrl87+AxPQJjI9ayLvS9Vk8LWOnS2bz3Eoto7wxyIAkaFS6jcwyTg/99GuwoqXTT3N6eMnTtypaNPruvn835kNzcx2lnLdTHbHFGZHz2AGTXhvxbtJLHQPA1rMu2WMMrr6NiLI/Ovc7i2iulRJl3Irh9ueCRyM+vPP4CvHvj39/wv8A9fEv/tOvc4fX/CnTf+L/ANJZx1ZpUHBdWn9235s9iooor5YsKKKKAKl6EM9jvYgi4yuBnJ2Nx7cZq3VS9YLNZAxh8z4BOfl+Ruf6fjVugAooooAKqXYQ3lgWYhhK20AZydjdfTjNW6qXTAXliDGGJlYBjn5fkbn+n40AW6KKKACiiigCpcBDqFkWYhwX2gDg/Lz9Kt1UuGA1CzBjDEl8Nz8vy1boAKKKKACqkwT+1bQliHEcm1ccEfLnn8qt1UmYDVLVfLBJjkw/OV+7/P8ApQBbooooAKKKKAKjhP7YgJY+Z9nkAXHBG5MnP5fnVuqjsP7XgXywSYJDv5yPmTj/AD6VboAKKKKACqhCf2wp3HzPs5G3HGNw5zVuqhYf2uq+WM+QTv5z94cUAW6KKKACiiigCooT+2JDuPmfZ1BXHGNzc5q3VRWH9ryL5Yz5Cnfzn7zcVboAKKKKACqkQT+17khiZDBFuXHAG6TBz+f5VbqpEwOrXK+WARDES/OTy/H4f1oAt0UUUAFFFFAFSAINTuyrEuVj3DHA645q3VSBgdTu1EYBCx5bn5utW6ACiiigAqpbBBf3pViWLJuBGMfKMfWrdVLZgb69AjCkMmW5+b5RQBbooooAKKKKAPHfg9/yPXjT/r4/9qyV7NXjPwe/5Hrxp/18f+1ZK9mr6nPv99fpH/0lGFL4QooorxzQK+W/iIsX/CwNazI2ftBz8vsPevqSvlz4iOo+IGtfuVP+kHnJ9BQB7943Z00mwaNS7DVrE7AQC3+kJwM8VsNe3IiRxpdyWJIKB48r7/exz/Ssjxpj+zdNycf8Tiwx/wCBCV0lAFX7VP8AaFj/ALPn2HGZd8eBkem7PH0pi3lyyyE6ZcqVGVBeP5+eg+b8eau0UAUje3IiVxplyWJIKb48r7/exz/SvK/jdYatqUOhzWOkXc620zlvLUSfMwQgYUk/wkZxivYapaiIybTzGZcXKFcDOTzxXXgcXLB4iNeKva+nqrfqTKPMrHkv/C1PHH/Qg3X/AH4m/wDiaP8Ahanjj/oQbr/vxN/8TXs9Fdf1zAf9Akf/AAKX+ZPLL+Y8Y/4Wp44/6EG6/wC/E3/xNH/C1PHH/Qg3X/fib/4mvZ6KPrmA/wCgSP8A4FL/ADDll/MeI/8AC4PEUGr6Zb6t4WlsY57gLht8bSA/KcbwAcbgfy6V7B9pn81E+wzbWxl9yYXPXPzZ49q8n+Nn/IzeDP8Ar4f/ANDir2KsM5o4dUMPXoU+TnUrpNvZ26lU27tNlRbq4PmZ0+cbRlcvH83sPm/nQbu48oP/AGdPuLY2b48gev3sVbor581KpuZ/NRfsM21gMvvTC565+bPHtVae6vDdW+2ymRFdiwMkY8wbWwAN3rg/hWnVS7EZvLAszBhK2wAZydjdfTjNAB9ruPKD/wBnT7t2Nm+POPX72KU3M/mIv2CcqwG5t6YXPXPzZ49qtUUAVRdXBaQGwnAUEqS8fz+w+b+dJ9ruPK3/ANnT7t2Nm+POPX72Kt0UAZs1xd/brMLayiM5Mg8xB1HTG7nHtVgXU5aQGwnAUEqd6fP7D5u/vSXAjOoWZZmDgvtAHB+XnNW6AKn2u48rf/Z0+7djZvjzj1+9ilN1OHjAsJyGALNvT5fY/N29qtUUAVRdTl5AbCcBQSrb0+f2Hzd/eqsl1efa7d1sZwu1w0Pmx5b7uD97nHP51qVUmCf2raEsQ4jk2jHBHy55/KgBTdXAaMCwnIYAsd8fy+x+b+VAupy8imwnAUEq29MPjpj5u/vVqigCp9ruPK3/ANnT7t2Nm+POPX72KU3VwGjA0+chgCx3x/L7H5v5VaooAzmuLo6oB9llEKwyfL5ifvDlcEDd9evrU32u48ov/Z0+7djZvjzj1+9ihxH/AGxASzeZ9nkwuOCNyZOfyq3QBUa6uAY8afOdwBbDx/L7H5v5Uv2mfzXX7DNtUHD70w2OmPmzz71aooAqC7uPKL/2dPuDY2b48kev3sVA1zdjUIiLSYxtD80YkjyrbupG707j1rSqoRH/AGwp3N5n2c/LjjG4c5oAX7TP5rp9hm2rnD7kw2OmPmzz70gu7gxF/wCzpwwIATfHkj1+9irdFAFRrq4ATGnztuGWw8fy+x+b+VO+0z+c6fYZtq5w+5MNj0+bPPvVmigDLW6vPtsjmyn2iNQIfNjznJy33sY6CrLXdwAhGnTsWGSA8fy89D838qFCf2xIdx8z7OuVxxjc3Oat0AVvtM/nMn2GbYM4k3Jhsf8AAs8/Smi7uDEzHTpwwIATfHk+/wB7FW6KAKjXdwFQjTp2LDJAeP5ee/zfyqFLi6/ta4U20pg8pNv7xMAgvk43ZGeB07Vo1UiCf2vckM3meRFuXHAGZMc/n+VAALu4MTMdOnDAgBN8eW/8exQ13cBEI06diw5UPH8vPf5v5VbooArfaZ/PMf2KbYM4k3Jg8em7P6U1bu4MbMdOnDAjCF48t/49irdFAGWl1eLdzMbKd1ZVxGJY8x9c5G7vVv7TN9oMf2KbYM/vNyYPHpuz+lNgCf2ndlWJcrHuBHA645q3QBUW7uDG7HTpwwxhS8eW+nzYoa7uAiMNOnYtnKh48r9fm/lVuigCt9pm+0GP7FNs/wCem5MdPTdn9K8kvvi3r8finVtN0nwzLfC1mMZQF5HTYdpJCAgAkV7JXjvwz/5LF42/66z/APo+veySjh5Qr1a8Ofkimk211t0MqjeiTE/4Wp44/wChBuv+/E3/AMTR/wALU8cf9CDdf9+Jv/ia9norp+uYD/oEj/4FL/Mnll/MeMf8LU8cf9CDdf8Afib/AOJo/wCFqeOP+hBuv+/E3/xNez0UfXMB/wBAkf8AwKX+Ycsv5jxn4N2msw+IPEWo3+jXdsl5IpPmJ5YRiWcjDYJ+8OgPUV6yt7ctG7HTLlWXG1S8eW+nzY/OixEYu9SKMxY3ILgjGD5UfA9eMH8au1y4/FvGV3Wate2norFRjyqxSa8uREjDTLlmbOUDx5X6/Njn2p/2qf7SI/sE/lnH73fHtHHpuz7dKtUVxlFJb25aN2OmXKsoG1S8eW57fN/Ovmjx9JdP471hmDREz/caRcrwOODivqSvlv4iLF/wsDWsu2ftBz8vsPegD6A8aHGm6bxn/icWH4f6QldJXOeM8/2bp2Dj/ib2Gee32iOujoAKKKKACqeoMFNpmIPm4Qc5+XrzVyql95v+jeVIE/fru+bGV5yPf6UAV3me618Wauyw2sKzygHG92JCD6DYxI9dtZ3jG9vLDTVubG4kilgBuJAoBDRJjcCCPcfrV23UweLL4P0ubWF4z67GdWH4bk/76qG+trnVX1W2lsZY4ZLJreGV3QqxbcGwAxIz8nUDpWMruLS3PRpckK0JStypJ621vv66t/d5E3iPVG0zQ7u5hYCVIHkQ9cYHX8yAPcjtmmfZr+38Noz3Mk2pQxCbe5A3SBeVIAxtPIx7+oFZl/p2qTaLp9lJZvcSySW5vmjdAqxxkMUG5gTyv/jxPtXSahcpZ6dc3Mn3Yomcj1wOlNXbbfYTUacIQhZtyfZ32S+T106njnxhuY73WfA11CcxTSNIh9i0JH869orw/wCKVo+n3Hw8spP9ZbqIm57qYQf5V7hXqZrf+z8HftP/ANKOBqKrTUdr6BRRRXz5QVUumAvLEGMNmVgGOfl+Ruf6fjVuq1z5n2qz2PtXzG3jdjcNjcY784P4UAWaKKKACiiigCpcMBf2Y8sMSXwxz8vy1bqtP5n2212vhMvvXdjdxxx3qzQAUUUUAFVJmA1S1XywSY5Pn5yv3f5/0q3VaXzP7Rttr4j2Sbl3dT8uOO/f86ALNFFFABRRRQBUdh/a8C+WCTBId/OR8ycfj/SrdVn8z+04cPiLyXym7qdyYOPz59/erNABRRRQAVULD+11XyxnyCd/OfvDirdVj5n9pr8/7ryT8m7vuHOP60AWaKKKACiiigCorD+15F8sZ8hTv5yfmbirdVl8z+03+f8AdeSuE3d9x5x+XNWaACiiigAqpGwOrXK+WARDEd/OTy/H4f1q3VaPzP7TuMvmPyo9qbuhy+Tjtnjnvj2oAs0UUUAFFFFAFSBgdSu18sAhY/m5y3X+VW6rQ+Z/aFzufMe1Nq7s46547VZoAKKKKACvHfhn/wAli8bf9dZ//R9exV478M/+SxeNv+us/wD6Pr6HJf8AdsV/hX/pSManxRPZqKKK88sKKKKAKdkwa71ECMJtuACwz8/7qM5P54/CrlVLTzftN/5kgZfPHljdnavlpxjtzk49896t0AFFFFABXy58RHA+IGtfuVP+kHnn0FfUdfL3xD8//hYGtYlAH2jgbwOwoA998aY/s3Tck/8AIYsMf+BCV0lcz44Zk0nT2SPzGGrWOFzjJ+0J3rZa6vREjDTiXJO5POXj05oAu0VV+0Xf2hU+xHyzjMnmrxxzx7Uxbm9KyFtPKlR8o85Tu5/SgC7VLURGTaeYzD/SU27RnJ56+1Bur0Qqw04lySCnnLwOxzVe+uLkXFojaeGjM6ZkMgO0kcnA9KANCa2ineJ3HzxNuRgcEHofwI7VLVJbm9KyFtPKlR8o85TuOentQbq9EKsNOJckgp5y8D1zQNtvQu1FPbRXPliVdyo4kC54JHTI74PP1APaoftF356J9hPlnG5/NX5c9eO+KRbm9Ik3aeV2jK/vlO456e1AJtO6PJfjZ/yM3gz/AK+H/wDQ4q9iryL4w6Xr2p3HhzULDR5p5LSaXMUX7w5+RlyF5wdjflUH/Cwfif8A9CN/5Jzf/FV71fAVMdgMMqMo+6pXvJLeXmYqajJ3PZKK8b/4WD8T/wDoRv8AyTm/+Ko/4WD8T/8AoRv/ACTm/wDiq8//AFcxn80P/A4/5l+2ieyVUuxGbyw3MwYStsAHBOxuv4Zryb/hYPxP/wChG/8AJOb/AOKqGL4p+LIPEmk2OveF4LX7TOqRh45InO47MqWJH8XpSfDmNs2uV210km9A9tE9qoqp9ovPKDfYTv3Y2eavT1zSme68xFFmdrAbm80fL6/XFeCalqiqouLstIDZEBQSp81fmPp7Un2i88rd9gO/djZ5q9PXNABcCP8AtCyLMwfL7QBwfl5zVusye4uBqFkv2EHdnLlxlOOf896si4ui0gNkQFB2nzV+Y9h7UAWqKqfaLzyt32E792Nnmr09c0puLoPGBZEqwG4+avy+v1oAtVUmEf8AatoSW3+XJtAHBHy5z+lKJ7ovIDZEKoO0+avzen0qpLdXf222J00GQrJj96MgfL36f/qoA1aKqm4ug0YFkSGA3HzV+U9x70Ce6LyA2RCqDtbzR83p9M0AWqKqfaLzyt32E792Nnmr09c0puLsNGBZEhgNx81flPp70AI4j/tiAlm8z7PJgY4xuTPP5VbrMa4uP7XVTYjiCQo+8ZbBXj2zx1qx9ovPKLfYTv3Y2eavT1zQBboqo1xdgx4sidwBb96vyn096UT3Xmuv2M7ADtbzB83px2zQBaqoRH/bCnc3mfZzxjjG4d6BcXnlFvsJ37sBPNXkeuarNcXI1OIDTwWaAlm8wZX5umeh9aANSiq3n3Xmuv2M7Bna/mD5vTjtmmi4vPKLGxIcEAJ5q8j1zQBboqo1xdgJixJyMt+9X5T6e9O8+5851+xnYM7X8wfN6ce9ADVEf9sSHc3mfZ1yMcY3N3q3WUtzdnUJT/ZwEgiX/loMkZbv0q01xdgJtsSSR8w81fl5/WgC3RVbz7nzmT7GfLGcP5g59OPemi4vDEzGxIcEYXzV5H1oAt1UiEf9r3JDN5nkRbhjgDMmOfzoa4uwqFbEsSPmHmr8vP61BHPP/bNyn2IBREn73eMsMvj/AD2zQBpUVUFxeGJmNiQ4Iwvmrz+NDXF4EQrYkkj5h5q/Lz+tAFuiq3n3PnlPsh8sZxJ5g549KatxeGNmNiQwIwvmrz+NABAI/wC07sqWL7Y9wI4HXGKt143qnxP8UL4z1TSdB8NQ3UtsdsihJJZCF4LHaQMZb070f8LB+J//AEI3/knN/wDFV7seHca4xk+VXSesknZmXtonslFeN/8ACwfif/0I3/knN/8AFUf8LB+J/wD0I3/knN/8VVf6uYz+aH/gcf8AMPbRPZK8d+Gf/JYvG3/XWf8A9H03/hYPxP8A+hG/8k5v/iqPhZp/iOLxf4j1zUtEmtpLsFjHIDEN7ybyF3c4Az+lejhMuqYHCYh1pR96KStJPquxEpqUlY9ooqk11eiNGXTizHO5fOUbfTnvT/PuvtOz7EfK/wCenmr6eleAalqiqS3V6YnZtOKuMbV85Tu9ee1DXV6IkZdOLOc7l85Rt9Oe9ABYiMXepbGYsbkbwRgA+VH09RjH61drLtLi4/tK+jWwAj88bpQ4GT5SckHr2HHpU63V6Y3ZtOKsMbV85Tu/HtQBdoqk11eiJGXTiXOdy+cvy+nPen+fdfaQn2I+VxmTzV449KALVfLfxEEP/CwNayz5+0HPy+w96+l1ur0xyFtOKsoG1fOU7uf0r5l8fyyN471gyWio5n5UnOOB3FAH0J4zz/Zum4OP+JvYZ5/6eI66Oub8aY/s3Tc5/wCQxYYx/wBfCV0lABRRRQAVUvvM/wBG8uQJ+/Xdlsbhzke/0q3VLURGTaeYWH+kpt2jOW5xn2oAu0UUUAFFFFAFS88zzrLy5Ag8/wCcFsbhsbj35wce3tVokDqQKp34jNxp/mFgftPybRnLbH6+2M1WRvtviSZG5isIk2L2Mj5yfqFAA/3mpN2NIQ5rvolf9PzNaiuW8aySRWcdzBLJFJZ4u2aNyMqjplTjqCC3X0q14uv5rXw/ei1dlnMWAynBDOdiAH1LEfgD7VDqJXv0N4YSU1T5X8bt6bf5m9kZAyMntXjPxa/5KX4L/wCu0f8A6OWvTrvTjZeGzHbuzXNpF5sUrsWJkVepJ55xg+oJryv4n3CXnj/wJcx52TPDIufQyoRXt5C/9ss/5Zf+ks5cRTSp80XdXt/Xqe00UUV8uUFFFFAFafzPttrtkATL7l3Y3cccd6s1UuBH/aFluLb8vtAHB+XnNW6ACiiigAqtL5n9o222QCPZJuTdjcflwcd8c/nVmqkwj/tW03FvM8uTaAOMfLnP6UAW6KKKACiiigCs/mf2pDiQCPyXym7qdyYOPz59/erNVHEf9sQElvM+zyYGOMbkz+PSrdABRRRQAVWPmf2ov7weX5J+Td33DnH9as1UIj/thTlvM+znjHGNw/WgC3RRRQAUUUUAVl8z+1H/AHg8vyVwm7odx5x/WrNVFEf9sSHLeZ9nXIxxjc361boAKKKKACq0fmf2ncZkBj8mPam7ocvk47Z45749qs1UiEf9r3JBbzPIi3AjjGZMY/X9KALdFFFABRRRQB474D/5L14t/wCuM3/o2OvZq8Z8B/8AJevFv/XGb/0bHXs1fU51/Gp/4IfkYU9n6hRRRXjmgVUtvM+3Xu6QMm5Ni7s7flGeO3NW6pWgj/tG/wBhYvvTeCOB8gxj8KALtFFFABRRRQBUtPM+03++QOvnjYN2dg8tOMducnHvnvVuqViI/tepbCxb7SPM3DgN5UfT2xj8c1doAKKKKACvl74h+d/wsDWsTAD7RwN+Owr6hr5b+Igh/wCFga1lnz9oOcAegoA+gfGh/wCJbpvy5/4nFh+H+kJXR1znjPP9m6bg4/4m9hnnr/pEddHQAUUUUAFU9QbabX90smbhRyCdvXmrlVL7zP8ARvLlCfv13ZbG4c8e/wBKALdFFFABRRRQBTvmxPYfug+bjGSD8nyPyP5fjVS2Q2vie+D8LeQxyxn1ZMq4/AFD+J9KuXvmedZbJAg8/wCcFsbhsbj35wce3tVh4o5ShdAxRtykj7p6ZH4E/nSavY0pz5VJPZq36/mjGu9NvdSj1iC5jto4ru1NtCySsxAw3LAqMctngnoKgvdF1Ga30y3Q20qQXEVzdSSSshlZBwAAp4yFPJ6DHvXR0VLppm0cXONrJaf5WKOszm30e6ZBulaMpEn9524UfiSBXj3xLtRZeO/ANoDkQGGMH12yoP6V7Y8Ucjxu6KzRnchI+6cYyPfBI/GvG/i1/wAlL8F/9do//Ry17eQr/bb/AN2X/pLOWtP9yoLvf+v66nsdFFFfLFhRRRQBVuGxf2Y8sNkv8xHK8VaqtPv+3Wm2QKmX3Luxu44471ZoAKKKKACqkxxqdqPLBzHJ8+Dlfu8fj/SrdVZd/wDaVtiQBPLk3JuxuPy44745/OgC1RRRQAUUUUAVHb/ibQr5YOYJDvxyPmTj8f6Vbqq+/wDtSHEgEfkvlN3JO5MHHtzz7+9WqACiiigAqoW/4myr5Y/1BO/HP3hxVuqp3/2ov7weX5J+TdzncOcf1oAtUUUUAFFFFAFRT/xNpF8sf6hTvwcn5m4q3VVd/wDaj/vB5fkrhN3Q7m5x/WrVABRRRQAVUjb/AImtyvlgYhiO/HLcvx+H9at1Wj3/ANp3GZAU8mPam77py+Tjtnjnvj2oAs0UUUAFFFFAHjvgP/kvXi3/AK4zf+jY69mrxnwH/wAl68W/9cZv/RsdezV9TnX8an/gh+RhT2fqFFFFeOaBVO1bOoXw8oLh0+cA5f5B1/lVyqlt5n2693SBk3JtXdnb8ozx2oAt0UUUAFFFFAFOybN1qI8pUxcAbgD8/wC6j5P8vwq5VS08z7Tf75Q6+eNihs7B5acY7c5OPfPerdABRRRQAV8ufENj/wALA1r9wp/0g84PPAr6jr5e+Ifm/wDCwNaxMAPtHA39OBQB7344LDSdPKKGcavY7VJwCftCYBPatlp9RESEWMBkJO5ftJwB252c1k+NP+QbpvGf+JxYfh/pCV0dAFXzb77Qq/ZIfJONz+ecjjnjbz+dMWbUSshaygDAfIBck7jnv8nHFXaKAKRn1EQqwsoDISdy/aTgDtzs571V1CS5NxZLLbRiL7RH86zZIbB4xt6de9a9U79iDa4iEmbhQcgnb15oARZtRKybrKAED5ALgncc9/l44+tBn1HyVYWMBkJOV+0nAHY52fWrtFAFTzb7z0X7JD5RxufzzlfXA284+vPtSLNqBEm6ygGB8mLgncc9/l4/WrlFAGLfzXudOZ7OITfajtQXHGfLbGTt+vbsKv8Am33nRr9kh8s43v55yvrgbecfXn2pL5iJ7HESvm4wSRnZ8j8j09Pxq5QBTWbUD5m6ygGB8mLgncc9/l4/WkM+o+SGFjB5m4gp9pOAPXOz9MVdooAqGa/82MC0h8sgb2885X1wNvOPwz7V5L8WNH8TX3iXw/qmm6Ss72rny1jk8zLqwcbh8pwQD09DzXstU7tiL2wAiDgytliCdn7tuR6en4114HGSwdZVopPdWe2qsTKPMrHkn/CY/F3/AKFG1/8AAZ//AI5R/wAJj8Xf+hRtf/AZ/wD45Xs9Fdf9o4b/AKBYfj/mTyP+ZnjH/CY/F3/oUbX/AMBn/wDjlH/CY/F3/oUbX/wGf/45Xs9FH9o4b/oFh+P+Ycj/AJmeI2XxF8Zx+ONE0vxHolpaG5lCKgjdG2udm4Eseh9u1ewCW9LSA2kIUA7D55+Y9s/LxXk/xG/5LZ4N+sH/AKOavYq588p0VGhVpQUOeN2ltu0VSb1TZU86/wDK3fY4fM3Y2/aDjHrnbSmW93xgWsRUgbz55+U98fLzVqivANSqJb3fIDaxBQDsPnn5j2z8vFUppbv7fas1pH5+2QKgn+Ur8uSTt69OMVr1VlJGp2o8sEGOT58cr93+f9KAAy3waMC0hKkDefPPynvj5eaBLe75AbWIKAdh885Y9sjbxVqigCp51/5W77HD5m7G37QcY9c7aUy3waPFpCQQN588/Ke+Pl5q1RQBlPJc/wBtpm2QMLeXy8TcMNydfl47everXnX/AJRb7HD5m7AX7QcY9c7aVyf7WhHlgjyJD5mOR8ycZ9/6VaoAqNLfAx7bSEggb8zkbT7fLzSiW981x9li2DO1vOOW9MjbxmrVFAFQTX/lE/Y4fM3YC/aDjHrnbVRpboavERaxmU253DzsBRu/3ee1a1VST/ayjyxjyCfMxz94cZoAXzb3zXH2WLyxna3nHJ9ONvGaaJr/AMok2cPmZGF+0HBHrnbVuigCo0t8Am20hOR8+ZyNp9vl5p3m3nnOv2WLyxna3nHJ9ONvFWaKAMhJbv8AtKVvskf2jyUATz/lK7m5zt657Yq401+Am20hJI+cGcjac9vl5pVJ/taRfLGPIU78cn5m4zVqgCt5t55zL9mi8oZ2v5xyfTjbx+dNE1/5TE2cIcEYX7QcEd+dtW6KAKjTX4VCtnCSR8wM5G057fLzXk2u/ELxbF8RNU0bw5o9rdyQIiFGRncqvO7hlxzJ/KvZK8d8L/8AJxXiD/r3f+Ude9kVKjKVapVgp8kG0nte6MqreiTE/wCEx+Lv/Qo2v/gM/wD8co/4TH4u/wDQo2v/AIDP/wDHK9norp/tHDf9AsPx/wAyeR/zM8Y/4TH4u/8AQo2v/gM//wAco/4TH4u/9Cja/wDgM/8A8cr2eij+0cN/0Cw/H/MOR/zM8U+G2l+K0+IOt69qmjLBLc25EqO/lKGd1YbR8xx8h/xr2Hzb77SV+yw+TziTzzk8f3dvr702BidUvAYgoCR4cDlvvfyq5XLjsZLF1faSilolZbWRUY8qsUln1ExOWsoBIMbVFySD687OKGn1ERoVsYC5zvU3JAX0wdnNXaK4yir5t79pKfZYfJ/56eec9P7u3196z7Oa9+2akws4vP3x5T7R8p+Ud9vpW1VO1Ym/vgYgoDphwOX+UdfWgBGn1ERoVsoC5zvU3JAX0wdnNP8ANvftOz7LD5P/AD08856f3dvr71aooApLPqJictZQBxjYouSQ3rk7OKGn1ERIVsoC5zuU3JAX0wdnNXaKAMiykuRqmorHbIYzcL5jmbkN5MfQbeRjHf1q0s+omNy1lAHGNii5JDeuTs4pbNibrUAYggFwAGAI3/uo+T6+n4VcoApNPqIiQrZQFzncpuSAvpg7Oaf5t79pC/ZYfJ4zJ55z0/u7fX3q1RQBSWfUTHIWsoA4A2KLkkNzzk7OK+Y/H7FvHmsGZNkhuDuVW3AHA74Ga+qa+XPiGx/4WBrX7hT/AKR12nngUAfQHjPP9m6bg4/4m9hnnr/pEddHXN+NMf2bpuc/8hiwxj/r4SukoAKKKKACql8HJtdkoj/fruy2Nw549/pVuqWo+Xm08wv/AMfKbdv97nGfagC7RRRQAUUUUAVL0OZ7HZKEHn/MC2N42Nx784OPardUr/y/tGn+YXz9p+Tb/e2P19sZq7QAUUUUAFVLsP8AbLHbKEUStuUtjeNjcY784P4VbqleeV9u07eX3+c2zHTPlvnP4ZoAsztEtvK0+3yghL7hkbcc5/CuX8Iq1he61ZTHYsbw3O1jxH5kQLAegDK3FbWtNcmy8i2sZrrziEk8t0XahI3feYc7c4x39Kpvpl1/wk9zqATNnNZxLJGCN8kiM5C9cdGHU47dCaynfmTXQ78O4qhOMmveXfs1+lyj5f8AbHjpRcIXt7Ky8zyX+6rSNhNw9dqMeemR6V1mRWB4ftr1NT1m9vrKW3ku7gNGXdGHlKoVB8rHB6n8afoUUcOr6/HEioi3keFUYA/0eKlDTXux4pKbcU9IRW2q6X19WzzX4jf8ls8G/WD/ANHNXsVeO/Eb/ktng36wf+jmr2KvWzr/AHfC/wCB/wDpTPMp7yCiiivnjYKqyh/7StiJAE8uTcm7G77uOO+P61aqpN5f9q2m7d5nlybcdMfLnP6UAW6KKKACiiigCq4f+1ISJAE8iTKbuSdyYOPbnn396tVUfy/7YgyW8z7PJj0xuTP49P1q3QAUUUUAFVSH/tRT5g2eQfk3c53DnH9atVUPl/2wvLeZ9nP0xuH60AW6KKKACiiigCqof+1XPmDZ5C4TdyDubnH9atVUXy/7Yk5bzPs659Mbm/WrdABRRRQAV474X/5OK8Qf9e7/AMo69irx3wv/AMnFeIP+vd/5R19BkXwYn/r2/wA0Y1fs+p7NRRRXAWFFFFAFSAP/AGndlpQybY9qbs7fvZ47Zq3VK38v+1r3aX8zZFvz0/ixirtABRRRQAVUtg/2693Shl3JtXdnZ8o7dqt1StPL/tG/2F9+9N+en3BjH4UAXaKKKACiiigCpZhxdX++UOpnGxQ2dg8tOMducnHvnvVuqVj5f2vUvLL7vtI8zd03eVH09sY/HNXaACiiigAr5e+IYl/4WBrWJwB9o6b+nAr6hr5b+Ink/wDCwNayZM/aDngegoA+gfGmf7N035c/8Tiw/D/SEro65rxv5g0mwMW3eNWsdoZtoJ+0JwTzWw0mp+UhW2szJk7gbhsAdsHZz37UAXaKq77/AO0KPItvJ43N5zbhxzgbcfrTFk1PbJvtrQMB8gFwxBOe/wAnHH1oAu1TvywNrtiWTNwoOVztHPPtSGTU/KUi2s/MydwNw2AO2Ds+vaoL1tQM9oMW0UPnIWbz2DNxyoG3n8+cUAalFUlfU9sm62tAQPkxOxyc9/k44+tBk1PyVItrPzcncDcNgDtg7Pr2oAu0VU36h56DyLbyjje3nNuHrgbOfzH4UivqWJN1vaAgfJidjk57/Jxx9aAC9LCexxEr5uMEkZ2DY/I9PT8auVk3bamfsRCWkcouDlPtLBXGxsDOznucY7flb36h5yDyLXyjjefObcPXA2c+3Iz7UAW6Kpq+pfvN1vaDA/d4nY5Oe/yccfWkMmqeSCLaz83ccj7Q23H12dfwoAu1TuywvbACJXBlbLFc7P3bcj09PxpS+oebGBb2vlkDefPbI9cDZz7cjPtVO4bVDeWp2WiKJG2qLlv3nyNgEbPx79KANeiqXman5IP2az83dyv2htuPrs6/hTi+o+bGBb2vlkDefPbIPfA2c+3T8KALdVoNPsrWV5bezt4ZH++8cSqW+pA56CmK+pbpN1vaAAHy8Ttye2fk4/Wk8zU/Jz9ms/N3dPtDbdv12dfwosNSaTSe55N8Rv8Aktng36wf+jmr2KvI/id4c8VXvjHQdc0SxhnntYl2osynEiMX6NtyOe3p2qD+2fjR/wBAK1/75j/+Lr3sVgfr+Gw7p1YLli01KSTvd9DGMuWTuj2OivHP7Z+NH/QCtf8AvmP/AOLo/tn40f8AQCtf++Y//i68/wD1eq/8/qf/AIGi/arsz2OqspI1O1AjBBjky+OV+739/wCleTf2z8aP+gFa/wDfMf8A8XUGm+OvHlp4+0rRPENlaRSXQwIT8uVbIDZUsOqnse/rQ+HsRyylGpCVk3ZSTdkHtV2Z7VRVUvf7o8QW20gbyZmyD3x8vP6UB7/fJmC22AHYfObJPbPy8frXgGpaoqpv1Hys/Z7XzN3Tz2xj67Ov4UpfUN0e2C2wQN+Zm4PfHy8/pQAOT/asI8sFfIkPmY5HzJxn3/pVqs1jff2qpItwghk2R+e2W5XBI28enfGan36j5RPkWvmbuB57Yx9dnX8KALdFVGfUMx7YLYggb8zNwfb5ef0pd995rgw23lgHYfObJ9Mjbx+v40AWqqkn+1VHljb5BPmY5zuHGaQPqPlEmC18zdwPObGPrs6/hVdm1D+0Yiq23+p+eMztwd3UfLz9aANOiqu++81x5Nv5fOw+c2T6ZG3j8/zpA+o+USYLXzMjA89sY787KALdFVGfUMJtgtTx8+ZmGD7fLzTt995zjybfyudp81tx9Mjbx+f50AIpP9rSDyxt8hTvxyfmbjNWq8b8SeOfGy/Ea68PeH7O0knhiQeSPn3fIJC2WKj+LH4Uv9s/Gj/oBWv/AHzH/wDF170OH8RKnGpKpCPMk0nJJ2e2hl7VXtZnsdFeOf2z8aP+gFa/98x//F0f2z8aP+gFa/8AfMf/AMXT/wBXqv8Az+p/+BoParsz2OvHfC//ACcV4g/693/lHSf2z8aP+gFa/wDfMf8A8XS/D3w94vT4k6j4g1/T4beWa1bzAZVGWbAXCqWOPkP5H6V6OCwH1CjXnVqwfNBpJSTd7roRKfM1ZM9moqksmp+U5a2sxJkbQLhsEd8nZx27UNJqeyPZbWhYj5wbhgAc9vk54+leAal2iqu+/wDtDDyLbyOcN5zbunHG3HX3piyan5TlrazEmRtAuGwR3ydnFACwFjql4DEqgJHhwOW+9374q5WPG+qi+nKpZuxRN0ZuWxH97p8nf6Cr2+/+0keRbeRzhvObd044246+9AFqiqSyan5TlrazEnGwC4Yg+uTs4oaTU/LQpbWZc53g3DAD0wdnP6UAXap2pY398DEqgOmHAwX+UdT39Kdvv/tJHkW3kdm85t3T0246+9U7VtT8++ZktGk3JsjFyxC/KM5+Tj16UAa1FUmk1Py0K21mZOd4NwwA9MHZz+lP33/2nHkW3kf3vObd09NuOvvQBaoqksmp+W5a2sxIMbALhiD65Ozj9aGk1PykK21mZOd4NwwA9MHZzQAtmWN1qAMSoBcABguN48qPk+vp+FXKzLU341G8GLeSAzAn9+xaP92ny424689R97NTLJqfluXtrMOMbALhiD65Ozj9aALtFUmk1PykK21mZOd4NwwA9MHZzT99/wDaQPItvI4y3nNu6em3HX3oAtV8u/ENm/4WBrX7hT/pHXaeeBX0qsmp+W5e2sw4A2AXDEHnnJ2ccfWvmfx99pPjvWDLJEj+fyqSkgcDvgfyoA+gfGmP7N03Of8AkMWGMf8AXwldJXOeM8/2bpuFz/xN7Dt0/wBISujoAKKKKACqWo+Vm08zf/x8pt24+9zjPtV2qd+WBtdsQkzcKDlc7Rzz7fWgC5RRRQAUUUUAUr/y/tGn+Zvz9p+Tbj72x+vtjNXap3pYT2O2IODcYJK52DY/Pt6Z96uUAFFFFABVK88r7dp2/fv85tmMYz5b5z+Gau1TuywvLACIODK25iudn7tuQe3p+NAFyiiigAooooApXXlf2nY7t/mZk2Yxj7vOau1TuCw1CyAiDKS+XK5KfL69s1coAKK5TxpZ6nFZprGk3N6ZLORZbiyinYLcwj7ygfwtjkY6++am0ox+JL1Nftb69GmNGot4VmZElYHJcr1A/hx3wcg5FTza2NfZe5z30Olrxnxr/wAnBeFv+veL/wBDlr2avGfGv/JwXhb/AK94v/Q5a9rJf4tT/BP8jmqbL1PYqQkKpZiABySe1LXAfFS/jbwzLYW+oQJdLIkk1v5oDvFzxjOTyVOPavlJS5VcqtU9nBz7HepIkqB43V0PRlOQadXlXwhv47Wyura61CBPtEyi1tnlG8sAdxC5zzlfrivVaIS5o3Fh63tqansVH8v+2IM7vM+zyY9Mbkz+PT9at1Vct/asI8sFfIkzJt5B3Jxn3/pVqqNgooooAKqHy/7YX73mfZz9Mbh+tW6qkt/aqjyxt8g/vNvOdw4zQBaooooAKKKKAPHbH/k5zUP+vcf+kyV7NXjNj/yc5qH/AF7j/wBJkr2avqM22w//AF6h+RhT6+rCiiivINAqlF5X9tXeN/m/Z4d2cbcbpMY9+v6VdqnEW/te6BiAUQRYk28sd0mRnvjj8/egC5RRRQAUUUUAUrfy/wC1r3bv8zZFvzjH8WMVdqnAWOp3YMQVQkeHC4Lfe798VcoAKKKKACqVp5f9o3+zfv3pvzjH3BjH4VdqnbFjf3wMQUBkw4XBf5R37+lAFyiiigAooooApWPlfa9S8vfu+0jzN2MbvKj6e2MfjmrtU7MsbrUA0QQC4AVguN48pOT685Gfb2q5QAUUUUAFfLfxE8n/AIWBrWfMz9oOenoK+pK+XfiGz/8ACwNa/cKf9I67evAoA9/8Z5/s3TcNj/ib2Hfr/pCV0dc340x/Zum5z/yGLDGP+vhK6SgAooooAKqX4Ym12yiPFwuctjcOePf6VbqlqPlZtPM3/wDHym3bj73OM+1AF2iiigAooooAp3oYz2O2UIBcZYFsbxsfj39ce1XKpX/l/aNP8zfn7T8m3H3tj9fbGau0AFFFFABVO7DG8sCsoQCVtylsb/3bcAd/X8KuVSvPK+3adv37/ObZjGM+W+c/hmgC7RRRQAUUUUAVLgMdQsiJQqgvlC2C/wAvp3xVuqV15X9p2O7f5mZNmMY+7zmrtAGHq+ps17Bo8MN+GuX2TXMdrKY4kxk/vAu0E/dBzxnJ6YOFpgfwf4rutJt7K9k0G8X7TCYLSWRLOY/eTKqRtbqMdD2Gc13NFS49TWNVJcttH/Vwrxnxr/ycF4W/694v/Q5a9mrxnxr/AMnBeFv+veL/ANDlr2sl/i1P8E/yOapsvU9irxnxZ4B17UfGl1cQxh7O6kD/AGpnG2NcDO4ZzxivZqQgEEEAg9Qa+TnBTVmLEYeNeKjLoeCaJ4A12fU9LureMGzlEVyLtXACKcMeM53Dpj1Fe+U2ONIo1jjRURRhVUYAHsKdSp01DYWGw0aCaj1Krhv7VhPmAL5EmY93JO5Oce39atVUfy/7Ygzu8z7PJj0xuTP49P1q3Wh0hRRRQAVVIb+1VPmDb5B/d7uc7hzirVVD5f8AbC/e8z7OfpjcP1oAt0UUUAFFFFAHjtj/AMnOah/17j/0mSvZq8Zsf+TnNQ/69x/6TJXs1fUZtth/+vUPyMKfX1YUUUV5BoFVIg39r3JMoKGCLEe7lTukycds8fl7VbqlF5X9tXeN/m/Z4d2cbcbpMY9+v6UAXaKKKACiiigCnAGGp3ZMoZSkeEDZK/e7ds1cqlb+X/a17t3+Zsi35xj+LGKu0AFFFFABVO2DC/viZQylkwgbJT5R27etXKpWnl/2jf7N+/em/OMfcGMfhQBdooooAKKKKAKlmGF1qG6UODcDaobOweUnB9OcnHvnvVuqVj5X2vUvL37vtI8zdjG7yo+ntjH45q7QAUUUUAFfLvxDV/8AhYGtfv1H+kdN/TgV9RV8t/ETyf8AhYGtZ8zP2g56egoA9/8AG/mDSbDylVn/ALWsdu7pn7QnWthjqflJtSz8zJ3ZZsY7Y4+tZPjTP9m6bg4/4nFh+P8ApCV0dAFXN/8AaF+W28njd8zbunOOMUxTqe2Telpux8mGbGc9+PSrtFAFInU/KXCWfmZO7LNjHbHH1qC9bUBPafuLZ4TMm4/MzLxyRxx9a1Kp34Ym12yiPFwpOWxuHPHvQAKdT2ybktM4+TDN1z349KQnU/JXCWfm5O7LNjHbHH1q7RQBUzqHnp8tt5XG/wCZt3vjikU6liTclp0+TDN1z349KuUUAZN42pj7FiC0eU3ByfmKoNjYOccdxn396t51Dzk+W18rjf8AM273xx+VJehjPY7ZQgFxkgtjeNj8D19fwq5QBTU6l+83LadP3eGbrnvx6UhOp+SMJZ+buOfmbbj8utXaKAKhOoebHhbXy8Df8zZz3xx+VU7ltU+2WuYLNlMjbW+Y7PkbBJxx6fjWvVO7DG8sCJQgErZUtjf+7bgevr+FACZ1PyR8ln5u7n5m24/LrTidR82PC2vl4HmfM2c98cflVuigCmp1LdJuW0xg+Xhm69s8UmdT8n7ln5u7+823b+XWrtFAGVcNqP8AaNgBBashzvf5iUOOcHHHt61ZB1HfJuW124Pl4Zs57Z4ouQx1GyIlCgF8oWwW+XsO+KuUAUs6n5P3LPzd395tu3H060pOo748La7MDzMs2c98cVcooAqA6jvkytrswfLwzZz2zxXk/wAQfCnjO/8AHela/oltbS3NvbhUKOMIyMxyd+Bzv/SvY6pzBjqtoRKFURy5Tdy33ecd8f1rrwWMnhKvtIJPRqz1TTJlFSVmeSbvjh/zxtfztv8AGjd8cP8Anja/nbf417PRXZ/a0P8AoGpf+Af8En2fmzxjd8cP+eNr+dt/jRu+OH/PG1/O2/xr2eij+1of9A1L/wAA/wCCHs/NniXh/wAXeOrX4lWHh/xKLUzTxP8AJsjyoKFgQye6DivXs6j5R+W18zdx8zYx+XWvKNb/AOTk9H/69x/6Kkr2KubP4U1OjUpwUeaCbUVZXu+hVK+qfcqMdQzHtW2xgb8s3X24pQb7zXytt5eDs+Zs+2eKssyopZiAo5JJ4FIjrIgdGDKeQynINeAaFYHUfKOVtfM3cfM2Mfl1ryfxd4u8af8ACx18OeHFtFuhbjChEJf5d7fM/QYHT2r2OvHH/wCTnIP+vc/+kzV73D8Kcq1WdSCly05SSaurq3Qzqt2Vu4bvjh/zxtfztv8AGjd8cP8Anja/nbf417PRXV/a0P8AoGpf+Af8En2fmzxjd8cP+eNr+dt/jRu+OH/PG1/O2/xr2eij+1of9A1L/wAA/wCCHs/Nni3g/wAKeOV+JUviPX7a3juGtzvkZ12udoQACPIzhf0969cY6niPalpnHz5Zuue3HpSqG/tmRvNG37Oo8vdyDubnH+elXK5MbjZ4uanNJWSSSVkktioxUVYq51Dz3+W28nnb8zbvbPGKYDqfktlLPzMjbhmxjvnj6VdorjKKTHU9sexLTdj58s2M57celQRtf/23dDyLYQ+Sm2TDBm5fAzjnB7ds+9alU4g39sXTGUFTBEBHu5U7pOcds8fl7UAIp1Pyn3JZ+ZkbcM2Md88fShjqeyPYlpux8+WbGc9uPSrtFAFXN/8AaG+W28jnHzNu6cdsdaYp1Pyn3JZ+ZkbcM2PfPFXaKAMeNtV+3ThYLNW2Juc7gG+90OOcVezf/aT8tt5HOPmbd047Y602AMNUvCZQylI8IGyV+927Zq5QBSU6n5T7ks/M42YZse+eKGOp+WmxLPfzvyzY9scVdooAq5v/ALSfltvI7fM27p9Mdap2ramZ77dBaLIGTYw3AP8AKM5OOa1qp2oYX98TKGBZMIGyU+UdR29aAEY6n5abUs/M535Zse2OKfm/+0/dtvI/3m3dPpjrVqigCkp1Py33JZ+ZxswzY988UMdT8pNqWfmc78s2PbHFXaKAMy1a/Oo3o8i3SATDLfMGf92nPTB54z7Y7VMp1Py33pZ7+NmGbHvnilswwutQJlDg3AIUNnYPKj4Pp3P41coApMdT8pNqWfmc78s2PbHFPzf/AGkfLbeRxn5m3dPpjrVqigCkp1Py33pZ78DZhmx15zx6V8z+Pmuf+E71jzYIt/n87FJHQV9S18u/ENW/4WBrX79R/pHTd04FAHv3jTH9m6bnP/IYsMY/6+ErpK5zxnn+zdNwM/8AE3sO3T/SI66OgAooooAKpaj5ebTzN/8Ax8pt24+9zjPtV2ql+XBtdkQk/fruyudo559vrQBbooooAKKKKAKV/wCX9o0/zN+ftPybcfe2P19sZq7VS9Liex2RBwbj5iVzsGx+fbsM+9W6ACiiigAqleeV9u07fv3+c2zGMZ8t85/DNXaqXZcXliFiDqZW3MVzsGxuc9uePxoAt0UUUAFFFFAFK68v+07Hdv8AMzJsxjH3ec1dqpcF/wC0LMLEGUl9z7c7fl457Zq3QAUUUUAFUp/L/tiz3b/M8qXbjGMfJnP6VdqpMX/tW1AiDJ5cm59uSv3cDPbPP5UAW6KKKACiiigDxnW/+Tk9H/69x/6Kkr2KvHdb/wCTk9H/AOvcf+ipK9irvz7bDf8AXuP5sil9r1PO/ixfxyeHWsbbUIFuI5kkuLYSgOY+QOM5PJU4/HtVT4R38dvpc1pc6hArTzZtbZpRv4HzELnPP9DWH4o8Aa7d+L7+5WMNZTyNP9qZxtROuCM546fhVTw/4B1067pV1HGPsRMN0LtXG0Jw3HOc9sY6+3NfKNy9pzWPKc631r2nI+39f1Y92rxx/wDk5yD/AK9z/wCkzV7HXjj/APJzkH/Xuf8A0mavq+H/AI8R/wBep/oetV6ep7PRRRXAUFFFFAFJfL/tuT7/AJv2ZM9Nu3c369au1UUv/bEg8obPs6/vNvJO5uM/096t0AFFFFABVKLyv7au8b/N+zw7s4243SYx79f0q7VSIv8A2vcgxAJ5EW2Tbyx3SZGe+OOO2fegC3RRRQAUUUUAUrfy/wC1r3bv8zZFvzjH8WMVdqpAX/tO7BiCptj2vtwW+9nnvirdABRRRQAVStPL/tG/2b9+9N+cY+4MY/CrtVLYv9uvQ0QVQybWC43/ACjv3oAt0UUUAFFFFAFKx8v7XqXl7932keZuxjd5UfT2xj8c1dqpZlzdX+6IIBONjBcbx5ac5785GfbHardABRRRQAV8t/ETyf8AhYGtZEmftBzyPQV9SV8vfEMyf8LA1rEAI+0ddnXgUAe/eNP+QbpvzY/4nFh+P+kR10dcz443f2Tp+wgSf2vY7CwyAftCYz7Vssup+Um2az8zJ3ExNjHbHzfWgC7RVXbf/aFPm23k8bh5bbunODuxTFXU9sm+a0LY+TETYBz3+b0oAu1Tv1JNriVY8XCk5ON3XikK6n5S4ms/MydxMTYx2x831qrqK3f2iyMskBh+0R8LGd27Bzznp1oA16Kpqup7ZN01oTj5MRNwc9/m9KQrqfkriaz83J3ExNjHbHzfWgC7RVTbqHnofNtvK43jy23H1wd1Iq6liTdLaHj5MRNwc9/m9KAC9BM9jiUJi4yQTjf8j8D19fwq5WLfrfZ04PLbed9qO0rG23PltjI3Z/vfpV/bqHnRnzbXyuN48ttx9cHd+VAFuiqarqX7zdLadP3eIm4Oe/zelIV1PyRiaz83ccnym24+m7rQBdqndqTe2BEqoBK2VJxv/dtwPX1/ClK6h5seJbXy8DePLbJPfHzflVG6W9+32XmyW5Yyv5G2NgA3lt975uRjPTHOKANmiqW3U/JA86z83dyfKbbj6butOK6j5seJbXy8DzB5bZJ74+b8qALdFU1XUt0m6W124Pl4ibg9s/NzSbdT8nHnWfm7uvlNt2/Td1oAW5BOo2REqqAXyhPLfL2HfFXKx7pbz+1tN3SQZ+bpGeu35v4vTpVxV1HfJultduD5eI2yD2z83NAFyiqW3U/Jx51n5u7r5TbduPTd1pSuo748S2uzA8zMbZJ74+bigC5VOYE6taEShQI5coTy33Oce39aULqO+TMtrswfLxG2Qe2fm5qhOt//AGjZhpbb7Tsl2ERts2/JnI3ZznHegDaoqmV1HfHtltduB5mYmyT3x81KF1HzJMy2uzB8sCNsg9s/NzQBboqlt1PycedZ+bu6+U23b9N3WlZdS3R7ZbTbgeZmJsk98fNxQB5Lrf8Aycno/wD17j/0VJXsVeQeOfB3i+7+JFtrnh+e1FyLYmJ8hTGFO05DZB4cfrwMVH/Zvxt/6Ctr/wCQP/iK97G4KGPp0JwrwjywUWpNp3Tfk+5lGTi3dPc9iZQylWAKkYII4IpERIo1SNVRFGFVRgAegrx7+zfjb/0FbX/yB/8AEUf2b8bf+gra/wDkD/4iuD+wP+oml/4E/wD5Er2v91nsdeOP/wAnOQf9e5/9Jmo/s342/wDQVtf/ACB/8RTfC3g3xqnxOt9e8Q3Fo1zHAzNISDvXb5YG1AB3/SvQwGBhgI1qk68JXpyilFtu726ImUnKySe57TRVTbqHnOfNtfK52Dy23D0yd3500LqfksDNZ+buGD5Tbcd+N3WvANS7RVNl1PEe2W0Bx8+Ym5Oe3zelLt1Dz3Pm23lc7B5bbh6ZO6gBFB/tmRvNGPs6jy88j5m5x/npVysVFv8A+1ZgZbb7V5CYby22bNzdt2c596usup4j2zWgOPnzE3Jz2+b0oAu0VV26h57nzbbyedo8tt3tk7sUwLqfktmaz8zI2kRNjHfPzfSgC7VOJT/bF03mqQYIgI88r80nOPf+lIy6ntj2TWgbHz5ibBOe3zelVYluv+EivNskOPs8WQUPTMm3v1znP4UAa9FUlXU/KfdNZ+ZkbSImxjvn5vpQy6nsj2TWgbHz5ibBOe3zelAF2iqu2/8AtDHzbbyOcDy23dOOd2OvtTFXU/KfdNZ+ZkbSImxjvn5qAFgBGqXhMoYFI8IDyv3u3vVysWJb/wDtK5EUtsJwkfnFo2Kn72No3ZHHXNaG2/8AtJPm23kc4Hltu6cc7sdfagC1RVJV1Pyn3TWfmcbCImwPXPzUMup+WmyazD87yYmwfTHzUAXap2oIv74mUMC6YQHlPlHX09adtv8A7ST5tt5HYeW27p67sdfas+zW++2akBLbefvjyfLbb90dt2emKANqiqTLqflptms/M53kxNg+mPmp+2/+058228j08tt3T13Y6+1AFqiqSrqflvums/M42ERNgeufmoZdT8pNs1n5nO8mJsH0x81AC2akXWoEyq4NwCFBzs/dR8H09fxq5WRZLdf2pqJjkh8r7SvmBkO4t5MfQ56Yx+tWlXU/LffNZl+NhETYHrn5qALtFUmXU/KTbNZ+ZzvJibB9MfNT9t/9pB8228jjI8tt3T13Y6+1AFqvl34hq3/CwNa/fqP9I6bjxwK+lVXU/LffNZl8DYRE2Bzzn5vSvmPx+CPHmseeQZftB3FBhc4HQGgD6G8Z5/s3TcDP/E3sM8dP9Ijro65zxoM6bpvOP+JxYfj/AKQldHQAUUUUAFVL4yD7NsiD/v13ZXO0c8+31q3VO/UsbXEojxcKeSRu68UAXKKKKACiiigCpe+Z51lsiDjz/mJXOwbG59ucDPv71bqnfKTPYESqmLjOCSN/yPwP5/hVygAooooAKqXRk+2WO2IMvmtvYrnYNjc57c4H41bqndqTe6efNCYlb5ST8/7tuB/P8KALlFFFABRRRQBUuDJ/aFntiDJl9z7c7fl457Zq3VO5UnUbI+aFAL/ISct8vb6VcoAKKKKACqk2/wDtS1xECnlybn252n5cDPbPP1xVuqcyk6taN5qqBFL8mTluU5/D+tAFyiiigAooooAqOZP7XgAiBj8iTMm3kHcmBntnnjvj2q3VN1P9swN5oAFvIPLycn5k5x7f1q5QAUUUUAFVCZP7XUeUPL8g/vNvOdw4z/SrdUyp/tlW80Y+zkeXk5+8OcUAXKr3t9a6davc3txHbwJ96SRgoFWK8n+LGt6XqFj/AGZb6ipvbKcPLBtbDcYIBxjcM9M+vesq1T2cHIxxFZUqbkeoWV9a6japc2VxHcQP92SNgwNWK8n+E+t6Xp9j/ZlxqKi9vZy8UG1sLxgAtjG446Z9O9esUUantIKQYesqtNSKi+Z/a8g8oeX5C4k28k7m4z/T3q3VNVP9syN5q4+zoPLycj5m5xVytTYKKKKACqkZk/ta5BiAj8iLbJt5Y7pMjPfHHHbPvVuqcSkaxdN5oIMEQ8vJyvzSc/j/AEoAuUUUUAFFFFAFSDf/AGnd7ogqbY9r7cbvvZ574q3VOBSNUvD5qsCkfyAnK/e/nVygAooooAKqW2/7de7ogqbk2ttxv+UZ57+lW6p2qkahfHzQ2XT5ATlPkHWgC5RRRQAUUUUAVLMyfar/AHxBF88bGC43jy05z35yM+2O1W6p2SkXWokyh83AIUE/J+6j4P8AP8auUAFFFFABXy98QzL/AMLA1rEAI+0ddnXgV9Q18ufENT/wsDWv3yj/AEg8ZPHAoA9/8aY/s3Tc5/5DFhjH/XwldJXOeM8/2bpuBn/ib2GeP+niOujoAKKKKACqWomMG08wMf8ASU27Tj5ucZ9qu1UvvM/0by4w/wC/Xdlc7Rzz7fWgC3RRRQAUUUUAUr8x/aNP8wMT9p+TaejbH6+2M1dqpeeZ51lsjDjz/nJXO0bG59ucDPv71boAKKKKACqV4Y/t2nbwxfzm2EHgHy3zn8M1dqpdeZ9rsdkYZfNbe23OwbG5z25wPxxQBbooooAKKKKAKV0Y/wC07HcG8zMmwg8D5ec1dqpceZ9vs9sYZMvvbbnb8vHPardABRRRQAVSnMf9sWe4N5nlS7SDxjKZz+lXaqTeZ/alrtjBj8uTc+3O0/LgZ7Z5+uPagC3RRRQAUUUUAUpDH/bduCG837NLg5427o8/j0/WrtVH8z+14MRgxeRJmTbyDuTAz2zzx3x7VboAKKKKACqRMf8AbajDeb9mPOeNu4frV2qh8z+11/djyvIP7zbzncOM/wBKALdeO+Ifhffy69qWpC6i/s5zLdMwyZBnLbQuOTnjr0/KvYqKyq0Y1VaRjXoQrJKfQ8d8PfC+/i1/TdTN1F/Z0bRXSsciQ4wwUrjg5469K9iooopUY0laIUKEKKah1KSmP+25BhvN+zJk5427m/XrV2qi+Z/a8n7seV5C4k29TubjP5ce9W61NgooooAKpRGP+2rsAN5v2eHcSeMbpMY9+v6VdqpH5n9rXOYwI/Ji2vt+8cvkZ74447Z96ALdFFFABRRRQBStzH/a17tDeZsi3kng/exirtVIfM/tK73RhY9se19uN3XPPfFW6ACiiigAqlaGP+0b/YGD703kng/IMY/CrtVLbzPt17ujCpuTY23G75RnnvzQBbooooAKKKKAKViY/tepbAwb7SPM3Hgt5UfT2xj8c1dqpaeZ9pv98YRfPGwhcbx5ac5785GfbHardABRRRQAV8t/EQw/8LA1rIfP2g55HoK+pK+XviH53/CwNaxCCPtHB2Z7CgD3vxwHbSdPEbqj/wBrWO1mGRn7QmOMjP51stFqflIFvLUSAncxtWII7YHmcd+9ZHjTH9m6bnP/ACGLDH/gQldJQBV8u/8AtCt9qt/JGNyfZzuPHOG38fl+dMWLUgsge8tSxHyEWrAKc9/n54+lXaKAKRi1PyVAvLUSAncxtWwR2wPM4796r30V6bi0Zr23WITplPJYMxxyAdx688Y/GtWqWomMG08xWP8ApKbdpxg84z7UACxakFk3XlqSR8hFsw2nPf5+ePpQYtT8lQLy1EmTub7K2COwx5nHfvV2igCp5d/56N9qt/KGN6fZzk+uDv4/I496RYtSAk3Xlqcj5MWzDac9/n54+lXKKAMi9h1A/YQ1/arMLkkN9nYBvkbAxv8Ar3/lzc8vUPOjP2q28oY3r9nbLeuDv4z9Dj3pt+Yxcaf5isSbn5MHGDsfr7YzV2gCmsWpDzN13anI+TFsw2nPf5+ePpSGLU/JAF5a+buJLfZWwR6Y8zr75q7RQBUMWoebGRdW3lgDev2dst64O/jP0OPeqVzBqJvbQtqFoP3j+Wv2dgSdjf7fzY69un4VsVSvDGL7Tt6sXMzbCDwD5b9fwzQAeVqfkgfbLXzd2S32VsY9MeZ19804xah5sZF3beWAN6/Z2yx74O/jP0OPerdFAFNYtRDSbru2IIPlgWzDae2fn5/Sk8rU/Jx9stfN3Z3fZWxj0x5nX3zV2igDJuYb46np7fbbZQudyeQ2XOPmx83/AOr3q0ItR3yFru2KkHywLZgVPbPz8/pSXRj/ALTsQysXJk2EHgfLzmrtAFLytT8nH2y183dnd9lbG3HTHmdffP4Upi1HfGRd2wQAbwbZsse+Dv4/X8auUUAUxFqO+Qm7tihB8sC2bKntk7+f0/CqU0GpG/tc6haCYJLj/Rmww+T+Hf29c9+lbNUpzH/bFmGVvM8qXaQeAMpnI/KgBTFqO+Mrd2wUAbwbZiWPfHz8frSiLUPMkJu7YoQfLX7O2VPbJ384/DPtVuigCl5Wp+Tj7Za+buzu+ytjHpjzOvvn8KVotRLR7bu2AAG8G2Y7j3x8/H61cooAymhvf7aVje23NvKI4/JYEfMmCfmw2OPT9eLHlan5JH2y183dkN9lbGPTHmdffNEhj/tu3BVvN+zS4OeMbo88evT9au0AU2i1EmPbd2wAA35tmO498fPx+tKItQ82Qm6tvLIOxfs7ZX0yd/OPoM+1W6KAKQi1PySDeWvm7gQ32VsY9MeZ1981VeG/OrQlb61Di3IdDAx3fNyQN/HYdTWvVImP+21G1vN+zHnPG3cO3rQA7y9Q85z9qtvKOdi/Z2yvpk7+cfQZ9qaItT8lgby183cMN9lbAHcY8z6c5q7RQBTaLUiI9t5aggfPm2Y7jnt8/HH1pfLv/PdvtVv5RzsT7Ocj0yd/P5DPtVuigDHSDUf7SlzqFoZjCmB9nbAXc38O/wDXP4VbaLUiI9t5aggfOTbMdxz2+fjj60KY/wC25BtbzfsyZOeMbm7evWrtAFTy7/z3b7Vb+Sc7U+zncPTJ38/kM+1NEWp+SwN5amQkbWFq2AO+R5nPbvUl9qFnplq1zfXMVvApwXkYKM+lOtLy2v7VLm0njngcZWSNgwP40rq9hXV7dSFotSKxhLy1DAfOTasQxz2/eccfWq8cV5/bt04vbcoYY/3XktuUZk2n72Oufrjt1OrVKIx/21dgK3m/Z4dxJ4I3SYwPXr+lMYLFqYicNeWpkJG1hasAB3yPM57d6Gi1MpGEvLUMB85NqxDHPYeZxx9au0UAVfLv/tDN9qt/I5wn2c7hxx82/wBfamLFqYicNeWpkJG1hasAPXI8zn8xV2igDGig1L+0LjZqFp5mxN4Nsx/vYwN4x+Z/Cr/l3/2kt9qt/I5wn2c7unHzb/X2pluY/wC1r0KrCTZFuJPB+9jFXaAKSxamInDXlqZDjYwtWAHrkeZz+YoaLUzGgW8tQ4zvJtWIb0wPM4/WrtFAFXy7/wC0lvtNv5HZPs53dP72/wBfaqVpDqAudQzf2rTFkxi3bCfKOq7+49/8K16pWhj/ALRvwqsHDpvJPB+QYx+FAA0WpmNAt5ahxnextWIb0wPM4/M0/wAu/wDtO77Tb+R/c+znd0/vb/X2q1RQBSWLUxE4a8tTIcbGFqwC+uR5nP5ihotTMSBby1EgzvY2rEH0wPM4/M1dooAy7SK8GpXzreW7Qmcb4/JYsp8pOM7sDscYPX34nWLUxG4a8tS5xsYWrAL65Hmc/mKLExm71LYrBhcjeScgnyo+noMY/WrtAFJotTMSBby1EgzvY2rEH0wPM4/M0/y7/wC0hvtVv5HGU+znd0/vb/X2q1RQBSWLUxHIGvLUuQNhFqwC885Hmc8fSvmXx/HKPHesCW6iaTz/AJiqlR0HbJx+dfU9fLfxEMP/AAsDWsq+ftBz8w9B7UAfQPjPP9m6bgZ/4m9hnj/p4jro65zxoM6bpvOP+JxYfj/pCV0dABRRRQAVUvvN/wBG8uMP+/Xd8ucLzk+31q3VPUFDG0/ehMXCHnPzdeKALlFFFABRRRQBUvPN86y8uMOPP+c7c7V2Nz7c4Gff3q3VK+UNPYEyhNtxnBz83yPwP5/hV2gAooooAKqXXm/a7HZGGTzW3ttztGxsHPbnA/GrdU7xQb3Tz5oXbMx2nPz/ALtuB/P8KALlFFFABRRRQBUuPN+32e2MNHl97bc7fl457VbqncqDqVi3mhcF/kOct8vb6VcoAKKKKACqk3mf2pa7YwY/Lk3PtztPy4Ge2efrj2q3VOZQdXtG8wAiKUbOctynP4f1oAuUUUUAFFFFAFR/N/taDEYMXkSbn29G3JgZ7Z54749qt1TkUf21bt5oBFvKPL5yfmTn04/rVygAooooAKqHzf7WX92PK8g/Pt/i3DjP07VbqmVH9tK3mjP2cjy+c/eHPpQBcooooAKKKKAKi+Z/a8n7seV5C4fb1bc3Gfy496t1SVR/bUjeaM/Z0Hl85HzNz6VdoA8h+LOt6XqdvHYWuoq13YTnzYNrYJIwcHGCV+vc1c+E+t6XZaWmkS6ipv7ud5Ug2theANucYydpPXuO9ZWvfC6/TVNU1L7VEdOAmugVyZTwWCbccnPGc/4Va8OfC++s/E9lqT3UR06F0uI25Ej9wCuOOevNeYvbe35+U8dfWPrPtOXy+R67VSPzf7WucxgReTFtfb1OXyM98ccds+9W6pxKBrN03mgkwQjy+cr80nPpzn9K9M9guUUUUAFFFFAFSHzP7Su90YEe2PY+3G7rnnvirdU4FA1W8bzAxKR/IM5X7386uUAFFFFABVS28z7de74wqbk2Ntxu+UZ5781bqnaqBqF+fMDZdPlGcr8g60AXKKKKACiiigCpaeb9pv8AzIwq+ePLO3G5fLTnPfnIz7Y7VbqnZKFu9RPmh91wDtGfk/dRjB/LP41coAKKKKACvl74h+d/wsDWsRAj7Rwdmewr6hr5c+IiA/EDWv3yj/SDxzxwKAPf/GmP7N03IP8AyGLDH/gQldJXNeNxI2k2AiYK51axAYrnb/pCc4rYa3vzEii/QOCdzeQOR24zQBdoqr5N59oV/ti+UMZj8kc8c85pi29+FkDX6MSPlPkAbTn680AXapaiYwbTzFZs3KbcHGDzyaDb35iVRfoHBOX8gcjsMZqG8hvxPask6yR+cgdPIBwMcnOeP6ZoA06Kprb3wWQNfoxYfIfIA2nP15pDb35hVRfoHBJL+QOR2GM0AXaKqeReeejfbF8sY3J5I+b15zxmkW3vgJN18jbh8n7gDac9evNACX5jFxp/mKxJufkwcYOx+T68Zq7WTdwalizVLpHfzzvk+zg7V2NzjPHPGferfkXvnI321fLGNyeSPm9ec8ZoAt0VTW3vh5m6+Q7hhP3AG0569eaQ29/5IX7enmbiS/kDkemM0AXapXhjF9pwdWLmZthBwAfLfr68ZpxgvfNjb7auwAbl8kfN6854zVS4g1IXlttukdGkbJ+zj938jYOc+uB+NAGtRVL7Pf8Akhft6eZuzv8AIHT0xmnGC982NhersUDevkj5vXnPGaALdFU1gvg0hN8hDAhB5A+U9j15pPs9/wCTt+3p5m7O/wAgdPTGaAC6MY1OxDKxcmTYQeB8vOfWrtZc8Oof2hYlbhWiGfMPkA8gdc54zVgQXweQm+UqwIQeSPlPY9eaALlFUvs9/wCTt+3p5m7O/wAgdMdMZpTBel4yL1Qqgb18kfMe/fjNAFyqU5j/ALYswysZDFLtIPAGUzkflThBeh5Cb1SrA7F8kfKe3fnFU5bfU/tlsou0PyyFpvsw+X7uB178/lQBr0VTMF8XjIvkAUAOPIHzHuevFKIL0SSE3qlWB2L5I+U9uc84oAt0VS+z3/k7ft6eZuzv8gdPTGaVoL4tGRfIAoAceQPmPc9eKAEkMf8AbduCreb9mlw2eAN0eRj8qu1ltDqA1cf6QphaCXa3kD92crtGc89z74qf7Pf+SV+3p5m7IfyB09MZoAu0VTa3viY9t8gCgBx5A+Y+vXilEF75sjfbV2EHankj5fTnPOKALdUiY/7bUbW837MfmzxjcOMUC3v/ACSv29PM3Ah/IHA9MZqu8GonU4gtygRYPnk+zg7m3dM5447e1AGrRVTyL3znb7avlnO1PJHy+nOecU0W9/5JU36GQsCH8gcD0xmgC7RVNre+Ij23yDaPn/cA7jnr14pfIvPPdvti+Wc7U8kfL6c55xQA1TH/AG3INreb9mTLZ4xubjH51drIW31P7fKhu0wYkKzfZh1y2V689j1q01vfkR7b9FKj5j5AO45+vFAF2iqvkXnnu/2xfKOdqeSOPTnPOKYLe/ELKb9C5Iw/kDgdxjNAF2qURj/tq7AVhKLeHc2eCN0mOPz/ADFDW9+VjC36KQPmPkA7jn68VDHFf/21csZ1Fv5SbD5A5JL8bs5OOD+PbNAGnRVJbe/ETqb9C5I2v5A4HfjPNDW9+UjC36KwHzHyAd3P14oAu0VV8m8+0M/2xfKOcR+SOOOOc0xbe/ETqb9C5I2t5A+X14zzQAW5j/ta9CqwkCRbiTwfvYwKu1kR2+pm9mH2tEARP3n2YfvDz79uKu+TefaS/wBsXyucR+T049c0AWqKpLb34idWv0LnG1vIHy+vGeaGt78xoFv0Vhnc3kA7vwzxQBdqlaGM6jfhVYOHTeScg/IMY9OKf5N59pL/AGxfK/55+T7euap20GpCe+V7pASyeXL9nAz8oz359PwoA1qKpNb35jRVv0Vxnc3kA7vTjPFP8m8+07/ti+V/zz8n29c0AWqKpLb34jdWv0Zzja3kAbfXjPNDW9+YkVb9A4zubyAd3pxnigAsTGbvUtisGFyN5Jzk+VHyPTjH5VdrMtor86heO0ypAJhtXyAPMHlpznPrkfhiplt78RuGv0Zjja3kAbfXjPNAF2iqTW9+YkVb9A4zubyAd3pxnin+TefaQ/2xfK4zH5Pt65oAtV8t/EQw/wDCwNayj5+0HPzew9q+l1t78RuGv0ZiBtbyANvPpnmvmjx8l2vjvWFfEjCfl/KAzwKAPoDxoM6bpvOP+JxYfj/pCV0lc340x/Zum5Gf+JxYY/8AAhK6SgAooooAKp6goY2mZQmLhCM5+brxVyqWomMG08xWbNygXBxg880AXaKKKACiiigClfKGnsCZAm24yAc/N8j8D+f4VdqlfmMXGn71ZibnCYOMHy35PrxmrtABRRRQAVSvFBvdPJlClZmIU5+f923H9fwq7VK8MYvtODqxYzNsIOAD5b9fXjNAF2iiigAooooAp3Kg6lYsZQpBfCHPzfL/AEq5VK6MY1OxDKxcmTaQcAfLzkd6u0AFFFFABVKdQdXs28wAiKUBOctynP4f1q7VKcxjWLMMrGQxS7WB4AymePyoAu0UUUAFFFFAFORR/bVu3mgEW8o8vnJ+aPn04/rVyqUhj/tu3BVvM+zSkNngDdHkY/L8qu0AFFFFABVIqP7aVvNGfs5Hl85+8OfSrtUiY/7bUbW837MTuzxjcOMUAXaKKKACiiigCkqj+25G8wZ+zoPL5yPmbn0q7VJTH/bkg2t5n2ZCWzxjc3GKu0AFFFFABVKJQNZum80EmCEGPnK/NJz6c5/SrtUojH/bd2ArCQW8O5s8EbpMDH5/nQBdqpqGp2OlW32jULuG2iztDSsFBPoPU1brxb4r63pesvax2GorLNYyvFLCFbBJx8wOMHG0g89xWNer7KDl1OfE1/Y03LqeyW9zBd28dxbTJNDINySRsGVh7EVLXnHws1vS4dFt9D/tFZNQcvMIdrAKDztBIwSAMkD1Nej1VKoqkFIujVVWCkUrdQNVvGEgYlI8pzlfvfzq7VK3MZ1a9CqwcJFuYng/exx2q7WhqFFFFABVK1UDUL8iQMWdMqM/L8gq7VK0MZ1HUAqsHDpvJOQfkGMelAF2iiigAooooAp2ShbvUSJQ5a4BKjPyfuoxg/lnj1q5VKxMZu9SCKwYXIDknO4+VHyPTjA/CrtABRRRQAV8ufERFPxA1o+co/0g8c+gr6jr5b+IjRf8LA1rKNn7Qc/N7D2oA+gfGe7+zdO2jP8AxN7DP0+0R10dc340GdN03nH/ABOLD8f9ISukoAKKKKACqt75v+jeUm79+u/5QcLzk+31q1VLUVVjabpAmLlCMg/MeeKALtFFFABRRRQBVvPN86y8pNy+f+8O0HC7G59ucc1aqlfqrXGnkyBCLnIBB+Y7H4/r+FXaACiiigAqrdeb9rsvLTcnmt5h2g7RsbH05xVqqV4qtfacTIFKzMQpB+f92/H9fwoAu0UUUAFFFFAFW4837fabEzHl97bQcccc9qtVSuVU6lYsZApBkwuD83y1doAKKKKACqsvm/2nbbUzF5cm9to4Py457d6tVSnVTq9mxkAYRS4TBy3Kc/h/WgC7RRRQAUUUUAVX83+1YcJ+58iTc20cNuTAz9M8e3tVqqUir/bdu3mAMLaUCPByRuj59OP61doAKKKKACqp83+1l+T9z5B+baPvbhxn6dqtVSKr/bav5g3fZiPLwc43Dn0oAu0UUUAFFFFAFVfN/taTKfufIXDbR97c2Rn6Y4q1VJVX+25G8wbvsyDy8HIG5ufSrtABRRRQAVVj83+1bjcmIfJi2NtHLZfIz3/h/P3q1VKJVGtXbCQFjbwgpg5UBpOfTnJ/KgC7Xh+q/Cy+0+TUb2a6jbT4VaSNowWlfn5V2468817hRWNahGqve6GFfDwrJc3Q8r8K/DHUNF8XR6hcXULWVszNCUJ3yZBAyMcdef8AJr1SiiqpUo0laJVGhCjHlgVYfN/tG63piLbHsbaBnrnnv2q1VK3VRq16wkDMUjymDlfvfzq7WhqFFFFABVW2837beb0xHuXyztAyNozz35q1VK0VRqN+wkDEumVAPy/IKALtFFFABRRRQBVtPN+033mJtTzx5Z2gbl8tOffncM+3tVqqVkqrd6kRIHLXIJAB+Q+VGMfoD+NXaACiiigAr5f+If2j/hP9ZxHkfaOPkHoK+oK+W/iIiH4ga1mZR/pB4wfQUAe/eOAW0nT1VijHV7EKw52n7QnPNbLWl4YkUalIHBJL+UnzenGKyfGe7+zdO2j/AJi9hn6faI66OgCr9muftCv9ufyxjMflrg8c84zzTFtLwLIG1GRiwwp8pPl5+nNXaKAKRtLwwqo1KQOCSX8pOR6YxVXUIJVuLJ5LuR4/tEYEYVQN2OucZ9ePeteqt753+jeSu79+u/gHC85NADFtbsCQNqMjFhhT5SfLz16c0G0vDCqjUpA4JJfyk5HpjFXaKAKn2a689H+3vsXG6Py1w2OvOM80i2t2BJu1GRtwwv7pPkOevTmrlFAGNf29wDp6PfStIbo7ZAiDB8tu2MHofzq99muvOjf7e+xcbk8tfmx15xkZpbzzvOsvKXK+f+8+UHC7G59ucVaoApra3Y8zOoyNuGF/dJ8hz16c0htLzyQn9pSbwxJfyk5HpjGKu0UAVDbXXmxsL9wigbk8tPmx15xxmqN1bzrf2YkvZXZ5XER2IPLPlsc9OeMjHvWzVW6877XZeWuY/NbzDgHA2Nj6c4oAZ9kvPJCf2lJv3Z3+UnI9MYxTjbXXmxt9vkCqBuXy0+fHXtxmrdFAFNbW7DSE6hIQwIUeWnyH16c/jSfZLzydn9pSb92d/lJ09MYxV2igDHuoJhqum7ryQkbh9xcEheSeO/6VcW1uw8hOoSEMCFHlp8h7Hpzj3p1x532+02LmLL+YcA44457VaoApfZLzydn9pSb92d/lJ0x0xjFKbW6LxkahIFUAMvlp8/qenGauUUAUxa3QeQnUJCrAhV8tPkPY9Oce9UZ7a4Go2cbX8pnKSlZtifKvyZGMYOeOfatqqsvnf2nbbVzF5cm87Rwflxz270ANa1uy8ZGoSAKAGHlp857npxmlFtdCSRjfyFWBCr5afJnp25xVuigCl9kvPJ2f2lJv3Z3+UnT0xjFK1rdloyNQkAUAMPKT5z69OKuUUAZDwTDXkBu5C720xjOxcRjcnHTnqOvp71a+yXnklP7Sk37s7/KTgemMYp7+d/asOF/ceRJubA4bcmBnr0zVqgCm1rdkx41GQBQAw8pPnPr04pRbXXmyN9vfYwO1PLT5c9Occ4q3RQBSFpeeSU/tKTeWBD+UnA9MYxVN7ec61CovZBKtsdz7E+Ybx2xx/wDWrZqqfO/tVfl/ceQfmwPvbhxnr0oAT7Ndec7/AG99jZ2p5a/LnpzjJxTRaXghZDqUhcsCH8pOB6YxirtFAFNrW7Ij26jIu0Yb90nzHPXpxS/Zrrz3f7e+w52x+WuFz05xnirdFAGKltcf2rNF9ul+0eQjedsThdzfLjGOvOautaXZEYXUZFKjDHyk+bnr04p6+d/a0mV/ceQuG2j725sjPXpirVAFT7Nc+e7/AG5/LOcR+WuFz05xnimi0vBCynUpC5IIfyk4HpjFXaKAKTWl4VjC6jIpUYY+Unzc/TiqsUMp8Q3hF1ID5EZI2rjBMm0dOxyffNa9VY/O/tW43L+58mLY2By2X3c9f7v50AMW0vBE6nUpC5IIfyk+X8MUNaXhSMLqUilR8zeUnzc/TirtFAFX7Nc/aGk+3P5ZziLy1wOPXGaYtpeCJ1OpSFyRtfyk+X14xV2igDFitrhtSuUS+lSVEj8yTYh8zO7HGOMVofZ7n7SZPtz+Wc4i8tcDj1xmiHzv7Rut64i2x7DtHPXPPftVqgCktpeCJ1OpSM5xtfyk+X14x3oa0vDGirqUisudzeUnzfpxVXXvE2leGoIpdTuPK80kRqqlmbHXAHYVd0/ULXVbCG+splmt5hlHHf8AwNTzRb5b6kqcXLlvqH2e5+0mT7c/lf8APLy1x09cZ96oWdvcfa9SjF9L5u+PMpRP7o7Yx04rZqrb+d9tvN64j3L5Z2gZ+UZ5781RQxrS8MaKupSKy53N5SfN+nFP+z3P2nzPtz+V/wA8vLXHT1xn3q1RQBSW0vBE6tqUjM2NreUny/pzQ1peGJFGpSKy53P5SfN6cYq7RQBk2UMrapqDpdSIi3CiRNqkOfJj5zjI4I/KrK2l4I3VtSkZmxtbyk+X9Oafaed9pvvNXCeePKOAMr5ac+/zbvyq1QBSa0vDEijUpFZc7n8pPm9OMdqf9nuftIk+3P5fGYvLXB49cZ96tUUAUltLwRyK2pSMzAbW8pPl5+nNfMnj9QnjzWFkZ5XFwcucDJwOwFfVFfL/AMQ/tH/Cf6zhOPtHHyj0FAHvnjQA6bpuTj/icWH4/wCkJXSVzfjQgabpuRn/AInFhj/wISukoAKKKKACqWoqrG03SBMXKEZBO488VdqlqLRqbTehbNygXDYweefegC7RRRQAUUUUAUr9Va408tIEK3OVBB+Y7H4/r+FXapX7Ri40/ehYm5wpDY2nY/Pvxn86u0AFFFFABVK8VWvtOLSBSszFVIPzHy34/r+FXapXjRi+04MhZjM2whsbT5b8+/GRQBdooooAKKKKAKVyqnUrFjIFZTJhcH5vlq7VK6aManYhkJcmTa27G35eeO9XaACiiigAqlOqnV7NjIAwilATB+blMn8P61dqlO0Y1izUoS5il2tu6DKZ479qALtFFFABRRRQBSkVf7bt38wBxbSgJg5I3R8/hgfnV2qUjR/23bqUJkNtKQ+7gDdHkY/L8qu0AFFFFABVIqv9tq/mDf8AZiNmDnG4c1dqkWj/ALbVdh8z7MTv3cY3DjFAF2iiigAooooApKq/23I/mDf9mQbMHIG5uau1SVo/7bkXYfM+zIS+7jG5uMVdoAKKKKACqUSqNau2EgLG3hBTByoDSYP45P5VdqlE0Z1q7UIRILeEs+7gjdJgY9ufz9qALtFFFABRRRQBSt1UatesJAzFI8pg/L97+dXapW7RnVr0KhDhItzbuv3scdquEAggjINAHg/xH8UaT4nuLd7D7SJbRmiy6jZIh/iHORyO45B9q6z4YeKdJSztPDcX2j7WVaTfIoCO5+ZlXBJ4H54NUL74Rx2P2y7juJryEY8i1iTEnLDqc84GfrW54Y+GMPh7xJ/arX5nSIt9ni8vBG4EfMc84BP8682nCuq3O1vv6HkUqeJVf2jW+/p/SPQKpWiqNRv2EgZmdNy4Py/IKu1StGjOo34VCHDpubdnd8gxx2r0j1y7RRRQAUUUUAUrJVW71IrIHLXILAA/IfKjGPyAP41dqlYtGbvUgiFWFyA5LZ3Hyo+fbjA/CrtABRRRQAV8t/EREPxA1rMwB+0HjB9BX1JXy38RGi/4WBrWYyT9oP8AF7CgD6B8Z7v7N07b/wBBewz9PtEddHXM+OEMmk6eolaMnV7EB1AJB+0J0yCPzFbLWNwYkQareBlJJcLFlvY/Jjj2HegC7RVX7JN9oWT+0LnYMZi2x7WwO/yZ5+tMWyuFWQHVLtiwwCViynPUYT8Oc0AXaq3vnf6N5K5/frv4BwvOetMNjcGJUGq3gYEkuFiy3sfkxx7DvVa/tH+0WckmpThVnjxGyIVYgey5yfrigDWoqmtlcKsgOqXbFhgErF8nPUYT8Oc0hsbgwqn9q3gYEkyBYsn2PyY/TvQBdoqp9kn89JP7Rudq4zHtj2tj1+TPPsR7YpFsrhRJnVLttwwMrF8nPUYT8Oc0AOvPO86z8pcr5/7zgHC7G/LnFWqx72xkJsEfVbkOLklZCke4nY3AwmPXqPX2q79kn85H/tG62rjMe2La+Oufkzz3wR7YoAt0VTWyuF8zOp3bbxgZWL5Oeo+T+eaQ2Nx5IT+1bwMGJ8zbFuI9PuYx+GaALtVbrzvtdl5a5j81vMOAcDY2PpzikNnP5sb/ANo3QVQMptiw+Oufkzz3wR7YqldWMv26zL6tdbjK/lqUj4Plt93CdhnrkUAbFFUvsNx5IT+1bzduz5m2LcR6fcxj8M042c5ljf8AtK6CoACm2LD465+TPPfBHtigC3RVNbOcNITqd0wcEKCsXye4+Tt75pPsNx5Oz+1bzduz5m2Ldj0+5jH4ZoAfP532602LmLL+YcDjjirVZNzZudT09m1O4DJuATYn7zA5P3OM9/0xVpbOcPITqV0Q4IVSsWEz3HydvfNAFyiqX2G48ny/7VvN27PmbYt2MdPuYx+GfelNnOXjYaldAIAGULFh8dz8mefbH4UAXKqy+d/adttX9z5cm84HB+XHP50gs5w8jHUrohwQqlYsJnuPkzx75981RmsJf7QtFOr3QlCSlWKRbiPkyPubcfUZ5oA2aKpmznLxkandAIAGULFh8dz8nf2xSiznEkjf2ldEOCFUrFhM9x8mePfPvmgC3RVL7DceT5f9q3m7dnzNsW7Hp9zGPwzStZzloyNTuwEABAWL5/c/J39sUAOfzv7Vhwv7jyJNxwPvbkxz16bqtVktZuNbRzqdwXa3lCRlE+QFk5U7e3HXPb3qz9huPJKf2rebi2fM2xbgPT7mMfhmgC7RVNrKcmMjU7tdgAICxfP7n5P5YpRZz+bI/wDaN0VYHCbYsJnpj5M8dsk++aALdVT539qr8v7jyDzgfe3Dv16UwWNx5JT+1bwsWB8zbFuA9PuYx+GaqvZSHV4capcrItsQQEjy43dT8mPbjHSgDXoqp9kn853/ALRutrZxHti2pnpj5M8dsk++aaLG4ELJ/at4WLAiTbFuA9PuYx+FAF2iqbWVwwjxql2u0YOFi+fnqcp+HGKX7JP57yf2jc7WziPbHtXPp8mePcn3zQAq+d/a0mV/ceQuDgfe3Nnnr0xVqsZLCUanKv8Aa90ZjAnzbI9wXc3+xtx+GauNZXDCMDVLtdowSFi+fnqcp+HGKALtFVfsk3nvJ/aNztbOItse1c+nyZ49z9c0wWNwIWQ6reFiQQ5WLK+w+THPuO1AF2qsfnf2rcbl/ceTFsOBy2X3c9f7tMayuGWMDVLtSowSFiy/PU5T8OMVXitG/t67lGoz7jBHmEImFBMmOdvTOcc545yMUAatFUlsbgROh1W8LMQQ5WLK+w+THPuO1DWNwyRqNUu1KjBYLFl+e+U/DjFAF2iqv2Sb7Q0v9oXOw5xFtj2jj/czx160xbG4ETodVvGZiMOViyuPT5Mc+4NAD4fO/tG63riLbHsOBz1z/SrVY0VhKdRuQur3QkCR7yqRbj97Gcpj8gPer/2Sb7SZf7Qudhz+62x7Rx/uZ9+tAFqiqS2NwsTodVvGZsYcrFlcenyY59waGsbho0UareKVzlgsWX+uUx+WKALtVbfzvtt5vXEe5fLOBz8oz+tH2Sb7SZf7Qudn/PHbHt6f7mffrVG0sZFudQQarctIzJltke5MKP8AY2nI9v1oA2KKpNY3DRoo1W8UrnLhYst9cpjj2Ap/2Sb7T5v9oXOz/njtj29P9zPv1oAtUVSWxuFjdDqt4zNjDlYsr9MJjn3BoaxuGiRBqt4rLnLhYstn1ymOPYCgB9p532m+81cJ548o4Ayvlp+fzbutWqyrS0b+0r+VNRnI88b4Qibc+UnUlc5xg8EDp71YWxuFjdTqt4xbGHKxZT6YTH5g0AXaKpNY3DRIg1W8VlzlwsWWz6/Jjj2Ap/2Sb7SJf7Qudgx+52x7Tx/uZ9+tAFqvl/4hi4/4T/WcLx9o4+Uegr6TWxuFjdTqt4xYDDFYspz2wmPzzXzL4/gVPHmsK920jCflnUZPA64AH5CgD6D8aEDTdNyM/wDE4sMf+BCV0lc54z3f2bp23/oL2Gfp9ojro6ACiiigAqlqLIptN6F83KBfmxg88+9Xaq3vnf6N5Iz+/XfwPu8560AWqKKKACiiigClfsi3Gn70LE3OFO7G0+W/Pv3/ADq7VW787zrPyhlfP/ecDhdjf1xVqgAooooAKpXjRi+04MhZjM2xt2Np8t+ffjIq7VW5877XZeWMx+a3m8DgbGx+uOlAFqiiigAooooApXTINTsQyEuTJtbdjb8vPHertVZ/O+3Wmwfusv5hwPTirVABRRRQAVSnZBrFmpQlzFLtbd0GUzx37VdqrL539p22wfufLk3nA6/Lj39aALVFFFABRRRQBSkZP7bt1KEyG2lIfd0G6PIx+X5Vdqq/nf2rDgfuPIk3HA+9uTHv03VaoAKKKKACqRaP+21XYfM+zE793bcOMVdqqfO/tVeP3HkHnA+9uH49KALVFFFABRRRQBSVk/tyRdh8z7MhL7u25uMVdqqvnf2rJkfuPIXBwPvbmz79MVaoAKKKKACqUTIdau1CESC3hLPu6jdJgY9ufzq7VWPzv7UuNw/ceTFsOB97L7vfptoAtUUUUAFFFFAFK3ZDq16qoQ4SLc27733scdqu1Vh87+0breP3W2Pyzge+f6VaoAKKKKACqVoyHUdQCoQwdNzbs7vkHbtV2qtv532288wfu9y+XwOm0Z/WgAv9RtdMtjc3khjhH3n2MwX64Bx+NWIpEmiSWNg0bqGVh0IPQ1nazbi/ii05uVuCxkH+yqk5/wC+tn51m+HL4zeDNJBco/2RVlfPKKg2sfrxj689jWfPaVjrWHUqCqLe9vk72/Jmza6rZXtzPb203myQMUl2oxVWHUFsYzz0zVyuX8IyRWfhe3u5lKSalM9yI1UksXJZQAPRAPwFdBZ31vfxPJbuWCOY3BUqyMOoIPINOEuZJsWJoeyqSjBOydrkViyG71IIhVluQHO7O4+VHz7cYH4Vdqra+d9pvvNGE88eVwOV8tP/AGbd1q1VnKFFFFABXy38RGi/4WBrWYiT9oP8XsK+pK+X/iH9p/4T/WcDj7RxwOmBQB7540AOm6bk4/4nFh+P+kJXSVzfjQgabpuRn/icWGP/AAISukoAKKKKACqWoqjG03ybMXKEcZ3HnirtUtRZFNpvj35uUC/NjB5596ALtFFFABRRRQBSv1RrjTy0mwi5yoxncfLfj27/AJVdqlfsi3Gnh49xNzhTuxtOx+ffv+dXaACiiigAqleKjX2nFpNrLMxVcZ3Hy349uOfwq7VK8ZBfacGj3M0zBW3Y2ny359+Mj8aALtFFFABRRRQBSulQ6nYs0m1gZNq4+98vPPartUrpkGp2KtHlyZNrbsbfl5471doAKKKKACqU6odYs2MmHEUu1Mfe5TPPt/WrtUp2QaxZqY8uYpdrbvuj5M8d88flQBdooooAKKKKAKUip/bduxkw4tpQEx1G6PJz7cfnV2qUjJ/bdupjzIbaUh93Qbo8jH5flV2gAooooAKpFU/ttX8z5/sxGzHbcOc1dqkWT+21Xy/3n2Ynfu7bhxigC7RRRQAUUUUAUlVP7clbzPn+zINmO25uc1dqkrJ/bci+X+8+zIS+7tubjFXaACiiigAqlEqDWrthJlzbwgpj7oDSYOffJ/KrtUomQ61dqI8SC3hLPu6jdJgY9sH86ALtFFFABRRRQBSt1QatesJMuUi3Lj7v3sc1dqlbsh1a9VY8OEi3Nu+997HHartABRRRQAVStFQajfssm5i6blx935B+dXapWjIdRvwse1g6bm3Z3fIO3agBos706yLx7uFrdY2jWEQEMMkEnfv9h27Vm/8ACMvB4dutJsr4Q/afNDTSQ7yquzHaoDDGNxx+ddDRUOEXudEcVVjaz2t0XS9unmzGuSmi6LaiW0a9kttqQi3tXfawBUMFG4qAuQT9fXFHhxYxZ3MqR3KyTXDSyvcwNC0jkLkhGGQo4Uey9+tbNFHLrcHXvTcWtW9Xf9P6/IpWKot3qRWTcWuQWGMbT5UYx78AH8au1SsWRrvUgke1luQHO7O4+VGc+3BA/CrtWc4UUUUAFfLfxESP/hYGtZlwftB42n0FfUlfLfxEeL/hYGtZiyftB53ewoA9/wDG6NJpNgisybtWsQWXGQPtCcithtPcxIn2+8G0k7gy5OfX5ayPGgB03TcnH/E4sMf+BCV0lAFX7E32hZftlzhcfu9y7Tgd+O9MWwdVkX7fdtvGMllyvPb5au0UAUjp7mFY/t94NpJ3Blyc9j8tQ3dpcC4tZYrq4YCZA6Fl27QOT0/zmtOqWoqjG03ybMXKFeM7jzxQALYOqyD7fdtvGMll+Xnt8tB09zCsf2+8BBJ3hlyfY/LV2igCp9ifz0k+23WFx8m5drY9eO9Itg6iT/T7s7xjll+XnqPlq5RQBk3djcAWcUV7dEeeTI5ZdwXY3t6gfmat/Yn86OT7bdYTHybl2tj14796bfqjXGnl5NhFzlRjO47H49u/5VdoAprYOvmf6ddneMcsvy89R8tIdPcwiP7feZDE79y7j7fd6VdooAqGycyxyfbbr5ABt3LhsevHfvVSexuVu7by766aN5GEmWX5BsbBHHritaqV4qG+04tJtZZmKrjO4+W/Htxz+FAB/Z7+SI/t95kNu37l3fT7vSnGxcyxv9tuvkAG3cuGx68d+9W6KAKa2Lq0h+3XZ3gjBZflz3HFJ/Z7+T5f2+8zu3b9y7vp93pV2igDLns7j+0LEpd3PlLkSfMvOBxnjv3qwLFw8jfbro7wRgsuFz3HFJdKh1OxZpNrgybVxnd8vPPartAFL+z38ny/t9597dv3Lu6dPu9KU2Ll42+3XQ2ADAZcNj1471cooApixcPI3266O8EYLLhc+nHaqkthc/a7eJb67MRWRnfcu4H5cDOOnWteqU6odYs2MmHEUu1MfeGUzz2xx+dACmxcvG3266GwAYDLhsdzxSixcSSP9tujvBG0suFz6cdqt0UAUv7PfyfL+33md27fuXd9Pu9KVrF2aM/brsbABgMvzY7nirlFAGW1ncDVwRd3Jgkhlzll+RiVxjj0J/Kp/wCz38kx/b7zJbdv3Lu+n3elEip/bduxkxILaUBMdRujyc/l+dXaAKbWDsYz9uuxsAHDL83uflpRZOJZJPtt184I27lwufTjt2q3RQBSGnuITH9vvMlg2/cu4e33elV3srhtShX7ZdCFIDlgy5Zt3fj0/lWrVIqn9tq3mfvPsxGzHbcOc0AO+xP5zyfbbrD5+Tcu1c+nHbtTRp7iFo/t94SWB37l3D2+70q7RQBTawdhH/p92Ngxwy/Nz1Py0v2J/PeT7bdYbPybl2rn047VbooAyVsLkX0sRvrvyTEjCTcu4Nlsjp0xirLWDsIx9vu12DGQy/Nz1Py0Kqf23I3mfvPsyDZjtubnNXaAKn2JvPeX7bc4bPybl2jPpx2po09xC0f2+8O4g7iy5GOw+WrtFAFJtPdljX7fdrsGMhly3Pf5ahjtLj+2bmRrq4EBiQou5cbiXBHTPHykVp1SiVBrV2wky5t4QyY6ANJg598n8qABdPcRPH9vvDuIO4suRj0+WhtPdkjX7feLsGMhly3Pf5au0UAVfsbfaGm+2XODn93uXaMj6UxdPdYnT7feHcQdxZcjHp8tXaKAMhLC5a9mR767WJETYwZMtnOc/L9Ku/Y2+0mb7Zc4Of3e5do4x0xTLdUGrXrCTLlIty4+797HPertAFJdPdYnT7feHdj5iy5XHp8tDae7Ron2+8GzPzBly31+WrtFAFX7G32kzfbLnH/PPcu3pjpiqdtY3Amvo3vbryyyeW+5d33Rnt61rVStFQajfssm5i6blxjb8g796ABtPdo0T7feDZn5gy5bPr8tP+xt9p877Zc4/wCee5dvTHTFWqKAKS6e6xOn2+8O/HzFlyuPT5aG092iRPt94NufmDLls+vy1dooAzLa0uDqF3LJdXARZgI0BXay+WnJGP7278qmXT3WN0+33jb8fMWXK/T5aLFUW71IrJuZrkFxjG0+VGMe/AB/GrtAFJtPdokT7feDbn5gy5bPr8tP+xt9pE32y5wMfu9y7TxjpirVFAFJdPdY5F+33jbwPmLLlee3y180ePormLx3q6CR3An4ZyCTwOtfUlfLfxESP/hYGtZlwftB42n0FAH0B40IGm6bkZ/4nFhj/wACErpK5zxnu/s3Ttv/AEF7DP0+0R10dABRRRQAVS1FkU2m+Pfm5QLzjaeeau1VvfO/0byf+e67+n3ec9aALVFFFABRRRQBSv2RbjTw8e8m5wpzjadj8+/f86u1VvPO86z8r7vn/vOn3djevvirVABRRRQAVSvGQX2nBo9zNMwVs42ny359+OPxq7VW6877XZeX/q/NbzenTY2P1x0oAtUUUUAFFFFAFK6ZBqdirR7nJk2tnG35eeO9Xaqz+d9utNn+qy/mdPTirVABRRRQAVSnZBrFmpjy5il2vn7oymeO+ePyq7VWXzv7Tttn+p8uTf06/Lj39aALVFFFABRRRQBSkZP7bt1MeZDbSkPnoN0eRj8vyq7VV/O/tWHH+o8iTd0+9uTHv03VaoAKKKKACqRZP7bVfL/efZid+e24cYq7VU+d/aq/88PIPp97cPx6UAWqKKKACiiigCkrJ/bci+X+8+zId+e25uMVdqqvnf2rJn/UeQuOn3tzZ9+mKtUAFFFFABVKJkOtXaiPDi3hLPnqC0mBj2wfzq7VWPzv7UuN3+o8mLZ0+9l93v020AWqKKKACiiigClbsh1a9UR4cJFubP3vvY47VdqrD539o3W//VbY/L6e+f6VaoAKKKKACqVoyHUb9Vj2sHTc2c7vkHbtV2qtv532288z/V7l8vp/dGf1oAtUUUUAFFFFAFKxZGu9SCx7WW5Ac5zuPlRnPtwQPwq7VW1877Tfeb9zzx5XT7vlp/7Nu61aoAKKKKACvlv4iPH/AMLA1rMWT9oPO4+gr6kr5f8AiH9o/wCE/wBZx0+0cdOmBQB7540AOm6bk4/4nFhj/wACErpK5H4iRG40PT7fzZYhLrFjGZIm2uoNwgyp7H0NWD4LjKBf+Eg8Rcd/7SfJoA6aiua/4Q2PzA/9v+IeO39ovikHguMBh/wkHiI59dSfj6UAdNVLUVRjab5NmLlCvy5yeePasY+C4ygX/hIPEXB6/wBpPk01/BEEkiO+u+IG2MGUHUWxkd6AOoormR4MjAYf8JB4iOfXUn4+lB8FxlAv/CQeIuDnP9pPmgDpqK5r/hDY96t/b/iHjHH9ovg0g8GRjd/xUHiI7h31J+PpQBs36o1xp5eTaRc5Ubc7jsfj27/lV2uWfwPBIIw+veISY23qx1Fsg4x/In86k/4Q2Perf2/4h4xx/aL4NAHS0VzI8GRjd/xUHiI7hjnUn4+lH/CFx7Av/CQeIuuc/wBpPmgDpqpXiob7Ti0m1lmYqu3O4+W/Htxk/hWP/wAIZHvVv7f8Q8Y4/tF8H61G3geB5Fdte8QsyklSdRf5SRjI/AmgDqaK5n/hC49m3/hIPEXXOf7SfNL/AMIZHuVv7f8AEPy44/tF8H60AdLRXMjwZGCx/wCEg8RfMMf8hJ+PpR/whcezb/wkHiLrnP8AaT5oA2bpUOp2LNJhwZNq7c7vl557Vdrl28EQPLFK2u+IC0f3T/aLfj+dOHgyMFj/AMJB4h+Yf9BJ+PpQB01Fcz/whcezb/wkHiLrnP8AaT5oPgyMsp/4SDxD8uOP7Sfn60AdNVKdUOsWbGTDiKXau37w+TPPbHH51jDwZGGY/wDCQeIfmB4/tJ+PpTD4GgZlc694hLpna/8AaL5AOMjP4CgDqaK5k+DIyVP/AAkHiH5Rj/kJPz9aUeDIwzH+3/EPzZ4/tF8D6UAdLRXM/wDCFx7Nv/CQeIuuc/2k+aD4MjJU/wDCQeIvlGP+Qk/P1oA2ZFT+27djJiQW0oCbeo3R5Ofy/Ortcv8A8IRAZ/OOu+IDJtZQf7Rb5QcZA/IflTv+ELj2bf8AhIPEXXOf7SfNAHTUVzJ8GRnb/wAVB4iG0Y41J+frS/8ACGx72b+3/EPOeP7RfA+lAHS1SKp/bat5n7z7MRs29tw5zWN/whcewr/wkHiLrnP9pPmmnwPAZVl/t3xB5irs3f2i2SM55oA6iiua/wCENj3s39v+Iec8f2i+BSf8IXHsK/8ACQeIuTnP9pPmgDpqK5k+DIzt/wCKg8RDaMcak/P1pf8AhDY95b+3/EPOeP7RfAoA2FVP7bkbzP3n2ZAU29tzc5q7XLDwNAHZ/wC3vEPmMApf+0XzgZ4z6c08+C4yFH/CQeIhj01J+frQB01Fc1/whsfmF/7f8Q854/tF8CkHguMIV/4SDxFyev8AaT5FAHTVSiVBrV2wkzIbeEMm3oN0mDn3yfyrGPguMhR/wkHiIY9NSfn60g8EwC5eca7r4d1Ct/xMW6DOB+GT+dAHT0VzI8FxhCv/AAkHiLnv/aT5FB8FxkKP+Eg8RDHcak/NAHTUVzX/AAhsfmF/7f8AEPP8P9ovikHguMKV/wCEg8Rc9/7SfIoA2bdUGrXrLJlykW5dv3fvY571drlh4GgDl117xCHYAMw1F8tjpn86k/4Q2PzC/wDb/iH/AHf7RfFAHS0VzI8FxhSv/CQeIjnudSfIoPguMqo/4SDxEMdxqT5NAHTVStFQajflZNzF03Ltxt+Qd+9Y/wDwhsfmb/7f8Q/7v9ovio08DwRmQrr3iENIQWb+0WycUAdTRXMnwXGVUf8ACQeIhjuNSfJpf+ENj8zf/b/iH/d/tF8UAdLRXMjwXGFZf+Eg8RHPc6k+RQfBcZVV/wCEg8RDHcak+TQBs2Kot3qRSTczXILjbjafKjGPfgA/jV2uYTwTAkzyrrmvgu25wNQbDHAGT+AH5Uo8FxhWH/CQeIjnudSfIoA6aiuZPguMqq/8JB4iGO41J8ml/wCENj8zf/b/AIh/3f7RfFAHS18t/ERIv+Fga1mXB+0Hjb7Cvfh4LjCsP+Eg8RHPc6k/FfMXj1JbDx3rNqt1czLFclRJPJvdunVj1NAH0147/wCQbpH/AGHNP/8AShK6muW8d/8AIN0j/sOaf/6UJXU0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAEF3eWthbtcXlzDbwrwZJpAij8TxUdvqen3io1tfW0yu5jUxyqwZgMlRg8nAJx6CuO0Oc+IPif4kkvQHi0LyLaxibkRs6lpJMf3jwAfQY7mtrUtP0q68VaRqn2u1jv7CSRGUyANIrxsu0jPUMQRn39aAOiorCTxDJef2i+mWP2uDT5nglYy7GkkQZdYxg5x93kr8wI96SLxKmoJpj6TbNdQ6hbNdR3D7kiVBt4ZgrbWO7oR2PpQBrXl/Z6dEst9dwW0bNtDzyBAT6ZJ61YrgvFmsW/iH4SanqEMbIrKUaOTBKSJNsYccHDKee/Wu9oAKK5dPFN/Lrep6XDobTzafLAJDFcjDRy9HG4DkDJK/wCyeembaeIZLz+0X0yx+1wafM8ErGXY0kiDLrGMHOPu8lfmBHvQBu0Vytr4yOo6tZWthZRy2+oWDX9ndPcbFlVdoK42khgXXI7A59qNL8XXOsaPpGo2elK66jO8Jj+1DMO3dksdvONjAgd8dc0AdVRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV8f8AxL/5KTr/AP19t/SvsCvj/wCJf/JSdf8A+vtv6UAfS/jv/kG6R/2HNP8A/ShK6muW8d/8g3SP+w5p/wD6UJXU0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHNXGg3en+KLjxDooheS9iSK/tJXKCbZnZIrAHDqCRgjBHcYzVa68N3ereNdD8QzwWtrHpizr5J+eSTzExksBgbSBgc9ScjoeuooA5ew0TVNBTV7bSxayw3t1LdwSTyMpgeXlgVCncA2SMEdccYzWfZeCZ9Il0W2h8nUdJ07TzbC1uXKDz9wPn7drKxIyOeVzxnJruKKAPPJPBuvp4I1Xw7DJpz/aZ5GhZpXjUB5nlLEBCQfmVdvI4zntXoEJlaFDOiJKR8yo5ZQfYkDP5Cn0UAc3pOl6taeLtb1K4ishZ6h5Pl+XcO0i+WpXlTGBzn1496jsNE1TQU1e20sWssN7dS3cEk8jKYHl5YFQp3ANkjBHXHGM11FFAHFT+AvI8O+HdM0y78uXR3VPPcYMkLqUmHHQsrEj0IX0rU0bw7JpWv6pdebGbGeQy2kKjBiaQL52e2CyKw/3m9a6GigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK+P/AIl/8lJ1/wD6+2/pX2BXx/8AEv8A5KTr/wD19t/SgD//2Q==) +![md5:72242c13f50c54757f8625f0ae0e4b0a](72242c13f50c54757f8625f0ae0e4b0a.jpeg) Then the following is true: