2. Rotasi terhadap Titik (a,b) dengan Sudut Positif dan Sudut Negatif
Gunakan [b]Applet Rotasi Titik[/b] di atas untuk memahami konsep [b]Rotasi Titik[/b] dan membantumu menyelesaikan latihan soal di bawah ini.
Apa yang terjadi jika pusat rotasi berada di titik [i]M(p, q)[/i]?[br]Kamu dapat menggeser (translasi) terlebih dahulu pusat rotasi ke titik [i]O(0, 0)[/i] kemudian terjadi putaran dan ditranslasi kembali sejauh pusat rotasi sebelumnya.[br][img]data:image/png;base64,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[/img][br][br][br][br][b]Rotasi pada sudut Negatif dapat disimbolkan dengan: [i]R[P(A,B),[/i][i] –α][/i] [/b][br][br]Artinya rotasi dengan pusat (0,0) dengan sudut putaran sebesar α dan searah jarum jam, nilai θ = –α[br][br][img]data:image/png;base64,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[/img][br][br]Ingat, sudut α dihitung berlawanan arah jarum jam, sebaliknya adalah –α (searah jarum jam).
[b]Contoh 3a:[/b][br][br]Jika titik P(–2, 5) dirotasi dengan pusat W(6,7) dan sudut [math]180^{\circ}[/math] berlawanan arah jarum jam maka tentukanlah bayangan titik tersebut![br][br][br]Alternatif Penyelesaian:[br][img]data:image/png;base64,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[/img][br]Jadi, bayangan titik P adalah [math]P'\left(14,9\right)[/math][br][br][br][br][br][b]Contoh 3b:[/b][br][br]Jika titik J(8,1) dirotasi dengan pusat Q(2,3) dan sudut 270[sup]0[/sup] berlawanan arah jarum jam maka tentukanlah bayangan titik tersebut![br][br]Alternatif Penyelesaian:[br][img]data:image/png;base64,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[/img][br][br]Jadi, bayangan titik J adalah [i]J'(0,-3)[/i][br][br][br]
[b]Contoh 4a:[/b][br][br]Jika titik K(-6, 3) dirotasi dengan pusat S(8,-1) dan sudut [math]-270^{\circ}[/math] searah jarum jam maka tentukanlah bayangan titik tersebut![br][br]Alternatif Penyelesaian:[br][img]data:image/png;base64,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[/img][br][br]Jadi, bayangan titik K adalah [i]K'(4, 3)[br][br][br][br][b]Contoh 4b:[/b][br][br]Jika titik C(5, 4) dirotasi dengan pusat G(3,-2) dan sudut 90[sup]o[/sup] searah jarum jam maka tentukanlah bayangan titik tersebut![br][br]Alternatif Penyelesaian:[/i][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAg8AAAHMCAYAAABSsUslAAAgAElEQVR4Ae2dzbXdthJmlYJjcArKQSE4BqegDJyBMtCgx45ACWjey9MeKYfba+u977kMAyR+SfDcD2sdkwcEClUbYFURPFf+8OZiAiZgAiZgAiZgAg0EPjS0dVMTMAETMAETMAETeHPy4EVgAiZgAiZgAibQRMDJQxMuNzYBEzABEzABE3Dy4DVgAiZgAiZgAibQRMDJQxMuNzYBEzABEzABE3DysHANfP369e3Tp0//+Hz+/Pntr7/+WjiqRZuACZiACZjAWgJOHhbyJUn49ddf3z5+/Pj27du3tz///PPn+S+//PL248ePhSNbtAmYgAmYgAmsI+DkYR3bn5JJHv7444//jUIS8eHDh5/JxP8qfWICJmACJmACDyLg5GHhZLHzQKLAjoMK59R9//5dVT6agAmYgAmYwKMIOHlYOF385oFEQa8oOPIKg99BuJiACZiACZjAUwk4eVg4c7///vvP5EE/muS3DrzCUDKxcOiXFa0fof7222/evXnZWbZhJmACuxNw8rBwhrTLwO8c+CsLkof0Ly1ILNid4ONyTIDEgd+Q8OpHPJWImeMxO181ARMwgZkEHLFm0gyyCGokBF++fPlfLd8JerEQ9OIPKuM1n/+TQMqKZCz+nkQ/Rv1nL38zARMwAROYTcDJw2yi/5Wn3zsQ0FQIfjw5x5IGxHiNBIT+UUa8TiLCOFcVxrrztUvKKv3u5OGqleBxTMAE3jsBJw8LVgB/ScFTMTsNvLpQYReCuphApAGQtiQNJAa05TrtkRf/QiP3zl/JRmynsVuPvF4hGKey+I5Oo0Xy0TktsiP3iifu0sA27uw4eUhJ+rsJmIAJrCHg5GEBVwW/NPjGeg2bSx5IDAiMCp70I3lQYQeAH2PGEn+cSduYtMR2NedKVtAt96qFsUZ2POjPGJIfXz1wjv66FsehH2woMEG3mNw4eaiZXbcxARMwgXECTh7GGQ5JSJMHBUCOpUIATa+zU6E6ySj1P6tHJ4IzhSd9vseCfAXxWF9zTjJA4hDl812FcyUMHGPSRKKgxIh2JBOxjNodZfncBEzABEygTMDJQ5nNJVfS5IGAGHcNCJgERT4KuDH4RiXZqSDgEtjj03xsI1m5Y2ync/SJrwqoR48Y8NWW+pxc6rRDkCYjXGMHQYVz6ijIS3cXNIZ2ZdSPYyorXvO5CZiACZjAPAJ/e+15Mi2pgUCaPPA9/kUGwZsAGp/AY7CNQ5E40J/rUUZsw/XSJ7bjnECfPt2rTU4HEoSSbOlDUkNfdCXYIz+1TckDY9E2ftf4uaOThxwV15mACZjAfAJOHuYzbZJIsI1P9ul3nrAJoHEnIbfzoCd7BuecPqrjmHtSP1KUoE6Al7zYNt15IGhTV1u0+8AYaYISkwXZUSvbyUPtDLidCZiACYwRcPIwxm+4d5osEEx5EidZIBjyCoKAGkvuNw/I0e8eJENBNx0jysqdK6AzPp/0FYX0Ut8Y8FVXc0QOuklP+mAbr224RnLB9dpCn5RVbV+3MwETMAETqCfwz6hU3295S556FUSWD3YwAHrkgvVBl6ZLucDOnx9Sz7ica8tfgtGJwBqL9KQf17TrQBs4xu+xX+4cGekntkM+41EI/PG1Q2xXOqcPMrAtJg6SxzXGx+70ekkm9SuTBxIqEhOOpQKTkTVbM0Zp7Nr6OIbWDNxcTMAETKCFwHbJA8GCwIETbt1qbzG8pS3Oladvgtrsgq1HAak0Hv1qEgJ4KtCXZLXUMyZjq8CmRg+1X3lcmTxgM8lDfH0kW2at2aMxNNboMR1j5doe1dX9TcAE9iWwPHkgcMlh4Xz58D3+4z4RD0kDn5Ynzth/1Tn6rEggYNGTPKAP/WYmBmfsGIsxd5sb6d2bPNSsUdZt+vpG485as0djaKzRY26MVWt7VFf3NwET2JfAsuQBh8S2O84qBhzOVZdi4Rpb4LvsOKT6KTjlnj7TtrXfe5OHWvnvqZ3mp9bm2jXKzgprNpfwzlqzR2PU2nPW7mgMsZu5ts/08XUTMIHnEliWPChxyD0Z44hxVrHgyEkcVrwaiOOMnvOUWXoC7ZEdd2V6+rvPfwj0cKxdo6xh1ixrNJaZa7Y0Rhxv9PxsjNlre1Rf9zcBE9iXwJLkQU6qJRHgqS6XVOyGTnru8p5/Nz5P0adljbKOc2tZayFNhHsYlMbokVXqczaG7PHaLhF0vQmYgAgsSR54MicRaHn9oKdAKZYecWh6uqStCk9/qq/dcqWddEyDgl6roH9OnrZ+aedyPwHmPzdPZ5pp/mvWKOstF1DP1iw66LUGu2oxySB5oY6nfUppjCM74j2BnLgzotcQrGP9tc7ZGF7bR7R9zQRMIBKYnjzgyHFYOKqWEh1prh/ycPQK7nLmShwYMzrPnAzqkEGfmHSkAQRHfCSPa8hwuZ8A88jaIRjXlt41mso/W7OMw3qVjroncoE9lV3znTXIfaB7ImVA0sBabUmuvLZryLuNCZjA9OSBJ3kcUOrIzlDXOi09HbHFitMk0CuROBsjvY6OOV2Rme5IxL70mfm7hyjb5+0EFIxr11zvGk01q12z9CNxINlQIsHanVVIftElXbMkD63r1Gt71qxYjgm8NoHpyUPLdnBE2+KI9cQnZxzltJwrEdG2Ln3liNPdiCgXXfm47ENA7+trEojeNZpa27JmpR+J6czEQTrpntB3jthZwyP28dqONHxuAiZQIjA9AvY6nxZHrFcVvTsOEQZON76C4OktfYKL7TmvsVE6qq2P/0m4ruBwlPjVzl8657nv2BLXTq6N6rQ7olcXqp91RC76qJA0tO460FfzIzk+moAJmECOwN/eJne1o67FoUbxtf3Y9j37TUKUe3aO8yeBoJCM1OxmoGuPYz7Txdf7CejJvuZJu3atnWnTIge9aB93uc7kt1zX7x5Yw9wjrE8Sltbitd1KzO1N4H0S2CZ5IGiTFBwVJQ56ymr5IVhJrpyuZBOEzkpL0DiT5evjBPT6qSZxYLRZ81ezZhlPuwCs77M13ktDOxvcEyQovTscs9j02uF+JmACzyAwPXngiQcHlBYF55KD1zZ/2k/f1R+nyDljzHiKw9kiq9axy0nPGFu2+dhPgLVAEC+tq5zk3jWayjpbs7RHL9YXCQ5rhnN0nl10T7CO4XH26iY3vtd2jorrTMAEcgT+HeVzrRrqtH3M7wbkJHGcODUcZ8mpqV9uN0HOnqNkIo/vFMaKcuUEa3YR6IdeOFz0PCvSs6btmSxfHyfAesitmSPJmsPWNZrKlJzc+EoaWFtah0pUuaZkIpWZfqd/7S6C7pOWRCqOJ3u8tiMVn5uACeQITE8eGAQnJEeG8+PDU9rRDxEJAgTwtI2CO8lCdGpyxPRJnaWSh5pftSMzOvgcpFgXk5ZY7/NnEehZo6mFpTVLO9Yx6ypdg0qiuR+UCKdy43fdO7Eud44s7rnaRCMnw2s7R8V1JmACOQJLkofcQDV1+v1B3EWo6Ze20VNfTDbSNnyXw00Tllxb6pSU5J40S31c/9oEZq3ZHCUlztq5yLVRHUkDwb8mIVGfePTajjR8bgImcEZgq+QBZXGAI04QGUe7HDh7kgucJU9qtWPhlHM7I2eAff31CcxYszlKrNXS+mT9kvSSYLDea1+75cbx2s5RcZ0JmMARge2SBxwZzhCnebZzkDNMTjV3jTpksxXMp+SY077IdOKQUvF3ERhds5ITj5LJMVe048E6HkkcvLZzdF1nAiZwRmC75EEKsztAcMe5zSzIxOHy1FZyzHE89GBLeLYecQyfvwaBVWs2R0d/uUEy3JNkI9NrO0fWdSZgAjUEtk0eapR3GxMwARMwARMwgesJOHm4nrlHNAETMAETMIFHE3Dy8Ojps/ImYAImYAImcD0BJw/XM/eIJmACJmACJvBoAk4eHj19Vt4ETMAETMAErifg5OF65h7RBEzABEzABB5NwMnDo6fPypuACZiACZjA9QScPFzP3COagAmYgAmYwKMJOHl49PRZeRMwARMwARO4noCTh+uZe0QTMAETMAETeDQBJw+Pnj4rbwImYAImYALXE3DycD1zj2gCJmACJmACjybg5OHR02flTcAETMAETOB6Ak4ermfuEU3ABEzABEzg0QScPDx6+qy8CZiACZiACVxP4Jbk4ffff3/7/v37sLV//fXXG7JcTMAETMAETMAEriNwefJAsP/tt9+6Lfz8+fPbp0+f/pd8IM8JRDdOdzQBEzABEzCBZgKXJg9fvnx5+/XXX99+/PjRrKg6/PLLL28fPnx4Y9eBgqyPHz++/fHHH2riowmYgAm8awJ+oHrX03+J8ZclD7ymIOh/+/at2zDJYOchFtWPyI7yfP4cAn/++efPxJHEdCQpfY7F1vSIAGvg69evP9cEx1cu+D18YfrhYQpfe1eBO8mL9GK3WA97d+n0tHGfwPCyFcaCHs2GAcpNQcBICwt0dFcjlfkev8OYuXpCIsZ6Ys7ZdULndP6xhVdkT7Bl57X2lDWhXUiCFmuCXcr4ivTV1gPrGn9Y+ly9pkhmYM4H1uhHUs93dPR9eD4jT2J4SfLAAmLxjGafShByU4DjYJH69UWOznkd/HC6BOHReTofbbyFHKd0RX/WGGskFtqRVIwmrlHmezl/2prg3meuVXjIYE3Eh41XWg+6BzjmPuJw1THqE8ckkWAeYiIXr/v8bwJPYrg8eVBQn+G8CWxHyYGeNhjzCYWb6sieK22ALZ8V7LAT2TgQPpxTVypcIwjQloSQtZPqpbmOMrRNGus4p+97SCCwH2azyqo1wXwwf5pjdD7aIVJ7PcHSL3ffYH8aoJCdtj1bDySkyKLdzDL7flegmanjiCx4oVNapGc6N2m7lu+r5qhFh9q2LfM+i+EVfOZ5mgLJml0H4HKzpgkGTwzUI4OCIzi6oQGWcxYF1W6tVoA8sucqBRWI4Te7MKfMieYQ+VoTqVPnGnW0hw9FjodAFgvrgk8suTpdl5z4FKprr3LEftjNKKvWBOuduSQRUKChTutEddEG7KI9W7oUrZF0lyl37+fqkHG2HtAnXXNRp9bzFfe7bGjV5er2zBPzMPvemz1HK7jMmvcehqv5zPE0B9R5SkidfGwOFJyBHIKCBguNBcdHdTXBjewWR7Nz0U0vZ3inrjhueLHQZhfmjflLnTzjKIDE5EnJX6oL3+M6oH8uUcjVRZsYk/Xockxg5ZrQXKaBhDGZ49RXaA3JB0hz7VpEn0B//EgsuTpdP1sPXM+tXfWvPa663yW3Vo+r2zE3zAf+JZ2/WbrMmqNZ+kQ5mp8RPz/KcCWfpcmDEoCjhRODBzc6zgVgLDhuXCYgtomTkzuvGTPX76o6bCltu16lQxxHuwBwnl0UKHKy02SRsaVLGlh0E8ZtT9YG6yWWs+RB8kdu5jjeq56LU27eRm1W0M/JYf6Y05gQMOfUpT5A6wddVXCUafJB3zShUHvZWVoP1NN/hMPK+133Bf4VTtjOPZfeP7L3qiP6MBeww4/DOZ2/WbrMmKNZukQ5o/M+i+FKPv/0vtH6CecKHrULh8XPouMTnUKrKizaGGha+69sr0y8xITrcrDYkbKgX9oGW3MOkHa6iZGF3JQL37m2oigY5JwvujEuR5VSe2ymLY5IhZuLOsmmjRyV2qRH3UhxzLTNrt8JCOIjFnxXoI3zLCbYq7XEEUbck3BCBv2pS8vKNcG4fHJF9kl/2pTa6yEhrmfZJpuQQ//cvYHsmvWATNj1FtYavKVTr5xcv6g/tsY1gt53Fdak9EEP5oD1uYIBNo7O0QpOo/M+k+EqPvm7eBJNbhoWTW0BOAttdOHL+a1arLX2pO3QByal4IXz5Do3HkUBknoVeMY2tOU7n+gkxVJJGItRAUayONKvZY5i37PzVIfYXtcii5x+6pMLIrTHsSMDRnw/m3PkRJ6Sv/OROdZ9gX185JS1VtBf/GIdbekLJ/pojYh/7l5buSZgjz7SI3LXNekv3XPzJSbxGmsc3anDPtkcx0jPz9YDMmnDvdha0B994hpvlXHWHv3Sgt3oLI7pdX1n9w5WLR/1bTlqrcVEr6X/WduROTqT3XN9xbyPMFzFZ1nyoCeDlhtHgM4W/dmEajuy54Y/kz1yXfaxuNKiREHBXtcJCHKQJbvUN96c9MGBxCKHG+vOnGds23rOosV58tGcYjscqGPsuD74nuqsMUvXsB0ZHHNc1V9H5OBcn1S0bsQQ3eWgYp3mPNbRVuzSQEM96yst1GvNpddGv8svMK704ahkiLGlP8eSLqVrcOE+gRljnRXkn60H7quzNrlxNG816zLXv7dO43I8KiRwcGz5HMkrXcN+OPNZVXrnaIU+4j9z3kcZruCzbDb1TpqFWVNw/npyOlv0Z/K4KViouaeqs74rrxMwY4CPY8nxy6HGazo/aoO9yFeRM2a8I5n0WxUo0IW5kN6MxRwr4PM9Jkt855MrR9dy7Ut1s+SU5K+ohxd6w+7ofhLntE3J5qP6lWuCoK6nY3RgjaKz9NeuBHVcz+lydK1lDkoMogwlPMxDSzm631vktLZV8Br1o63jHrWv4XzU/+xa7xydye25vmreRxiu4JP31D3Ekj5KBJLq7FduSoDjNHAqOWeR7XhQCWhk7lIUAEoOqGZhHLVJr5GpyhlzDQctpxyZcO2Id5ShMc6OUX7pXHJjoGO+kJ3L2DVmSV5t/Sw5Z+MpuGm8muORs1cyjhzuLZxBWnJMaaOx0/ZH9aU1MduuqFOqD+tV9sZ2nEuPkp5p+9L3dMxSu9aAcHa/l8Zpqcf23DrQg0PJ17SM0dKW8XIPRzy8lOaxRf5Z29Y5OpPXc3103lcynM1nSfKgLRac3FHhqVMOTwtdCx8ZOI/czXEkU9ck9+ipW22vOHJTcQPlAiPj1zixozalazhZMaWNOMtm6kYdsGS1HFnI6Vaw5gyd04KeZ+sp7ZP7jpx03Fy7HetYyyQRsMMO5jWWEj/a8knLUf3Va0KJQmpTSUclD/AYKcivWQ9n92+qQ2v7tH/Nd+kefRwcWR8z7pUaHWIb7XjE3UT8nVjk7uvYf/Rc45R87Kj8mv6jOqxkOKpbav+/PUraouO7bmyUPSoscG6A6ADUl2s4sN6FoCe13uTjSO+ea9h5dEOLxZG9ahOdhXRBPk6jVORU0jZ3OBpl5+mTtuYsTXC0JtLAUrL1qB5OVwfGI316rrFGtBaYV5VZycMda0IJbhpgZGe65uVk07UiFrXH2vVAQKRt7Xi0RfeVBWbMlWwQK+qP/MgqnZg76cCR9Yh+JGdX+OHWOVrBYXTeVzKczWdJ8qAbOw0O6WQBKjo/XacudSK6VnsUqDMdauWNtMMWFlVMklJ5pcAZ26lNahM3JvJjcOV76nAVXKLMXF28PvtcSUzOsYpTmnRqPY2uCck/mofZ9s6QxxylQSvHRHOZcmIt8ElLqV5y0varvmMbuuTmRXZyP8eCjgSmkSDZsh7UNt5jUZ94rrY5e2K7Wefyl4w7wmOWPshBFz45/z5znChL3GvmKPabda7xZ837bIbSbxaff3uUCSRRDmdwRbZZUlegcDJ3l5IDjHoR6JWlozuFOhaiAgeOgTZ81Iabk8w+daTwJ0ArgaA9bdLArCRr9VyhO3agA3NScnLaWlOwkN4zFrxsvdKhxTnuPVeg1Jwzp8wtLGOhLr3v4Ewdn8i8VI88cVq9JrBD90bJ4aKn1rfsl366LyKDlnPJqV0PMKx5xSGbkO9yLYHaOVqh1RPmfSafJckDzg4ldbOvmKgzmTgEdMg94Z71nX1dAfGMBzqrrXRPHSQOl0BK4KANR77HwID+1CmY0A6nl2tHP8mYbbfk4UQZA9tSe9RGR/QhkMg+9OamnFHgUeP8Z4w1Uwb8dE9pzmEZgx5zyzV9dA17VQdTFfGVPNVzvGJNoL/W5Nl9wZpP74sZiU3rehDLyCp3Ll3P7Mr1dd0Ygdo5Ghsl3/sJ8z6Tz5LkQY6Jm/7OIqd5pw6MrSCeBvi79dL4ypjvni/ps+KII2c9zAg6K/TbTearr4me9aAE7iwp2P1+322tzdSndo5mjilZT5j3mXyWJA+7BG3roWV9fmTh89k1wTm3oNziiifp8ujPvfKqa6J3PWh35yx52MXvPHfl9WteO0e5EZRQns1vri91T5j3ET6p3S+dPGgHRFu4qfFXfX/CosKhkpUSMO7mNXNecASsA24alzYCr7gmRtaDdmPOXqM94X5vWwnPaV07RzmL3kPyMMInZTY9edAEcAPdXWZu0fTaQiCGBbo8ofCbBBII5vHpBVt4D/kKttw5F6+yJkbXQ43jfdr9fue6WjF2zRyVxlXs6vEXT5n3ET4pt+kRXhOwQ7BsSR6kt54aao5MxFmR3B14nOnq6yZgAmUCNY7X93uZ3xVXauaopIfmjmNrUd/d/fwIn5SJk4eUyOTvT1lUk822OBN4OQI1jtf3+73TXjNHJQ01dxxbi/o6eWglF9rvBLFl5yGYMPV0Jx5TDbMwE3hnBGoCk+/3exdFzRyVNNTccWwt6uvkoZVcaL8TRCcPYWJ8agImMESgJjDt5P+GjH1o55o5wjTFhprX02pzhOQp817L58hWXfNri/+S0ORrodQcmYizIrm7Z6Rndvi6Cbx3AjWO1/f7vaukZo5KGmruOLYW9d3dz4/wSZk4eUiJTP7+lEU12WyLM4GXI1DjeH2/3zvtNXNU0lBzx7G1qK+Th1Zyob3+ZIUn97uLtqZ6FsMs3cVj90U1y94r5fAvYjK3r/wvY17J85XGWrE2agKT7/d7V1HNHJU0VALQEy+eMu8jfFJuSyK8tvzTwWZ8bzFeejCxdxbpcacOrzY2/+gT//iTEkT/T4hebYb77Vm1Nmp9j+/3/rkb7Vk7R7lxRpIH5D1h3kf4pMwelzwoWNT8Pwp2mcxd9EgnP/3+lH8MCD1JHPgXECkkDjBWkjj6jwGlXPz97ef/0OwJ/3jYyrVR+0/7PuV+P1vX7N5gM//Q2pWFcVlrzGVrqZ2jnNz3kDyM8EmZLUke9H/uWrGdzI2J/Jqyy02shEfBrkb3ozb8XydnvgaJ/wzx7DlTIEdfnNCZQ+AGph3tWei5LUSuRfvRn7kmq1ahH+sEGS79BFauDeaI+dF8kgQe3SN3rw30ZJ3l1mQkrHZHtsT2Okduuo517eqjkrDZO3ryB4oR2Mv9rsRfduKH4EgS0cJR7M/mSOPEo/j39EWOxm7RN45fe45+3DewgR8fzmseqKVjr41RxyXJw0wFo7J6r1SzoLUQ0OXuws3BBM+YMGwR31l2sfBab9KzsbmBkMkOAQ4D2+WQqM8VkiI4Mb+0Fzf6xYLMmChwjX5pHTo4gYjk2s9XrA20wPlpzphrHJ/WSy6B3WFtKOCdUdS6bbnftVbF5GyMldeZC/RI77vRMcWFuVeA5V5nLO7p3LzTh3Wh9mc61M7RmZye67KvZd5bxxEvmIgX48EPjmcJxEw+S5IHOYbZiw95AKpZSAClLRN6d9F7ppqkp0ZXkqhZCxTdSjdujS6lNkpw0icKzWG6NjRfMQFgntGNT5xz5jW2Q4dcHfWSe3ZTlex4z/Wr1gZyma/0fsAZUo//iEVzGOf8jrWBbjjfs1Ky76gfyZEce7TzqM+Ka+KKPrMLPiHHT/EiZ3erPrVzNNs25PXMe6seGkOJg/rLr549LM/ksyR5kIG5xSBje44sstSxlOSs0qE03lG9nN+KG/Jo3LNrujFrmZ7J03XkskjJjtNSuiYHkt4UeuKMyQYOKE0KGa+03tAj57RS3fz9bwKr1gYjMB/MF2OkJXdth7Whe7jmXlHb2vud9iTIeuIvreOU1Yrv8pvpfbhiLMnUmCW75QPOdBL3mjnS2DOPGr923leMfZQ8SL9ZfJYkD1IydfApLJyHHAM3T/qUioOJQQh5aZtUpr5L7i5PnNEO6Zg7coNwE7EI+GAz3+VoVc9RLDiqXswJtpxTX7optQXGfM0smn/GzhXNa7zG/FOfFmXUccFjV0wGYEbf0lzLTvFKx9j9O3OPDXGO+a41If3jnMMoJlxqw5F6eEoezi5lJ2az1wbj5+Zf+qET1+O4O6wN8Sgxlf46YkMuedb1eGQtI1/3Tel+jX1WncO6dN+uGvPMV3PfwhNGR6V1jo5k9V5rmffeMXL9WJeMfZS4zObzb2+d06yxDqeGIdHB50RgKEbrpokBgvbKxI+A5ORSJyd0lq2W+s+ux5nDJHX4cRx05ebF6WA7Hz2JyZnSH67IUh0ydIPRHl5yRho355B0Leow4/xs/tGdTyx8zzlbrY3o0FSHnZxzLddX8sUmx0Btdj2yJphv7NOaUDDFdgq8uU697ifNbXpPwQzWsKA/R75HvshU/xVc0JUxc/em7lvZxvg7rA3xOLp/I6va9vDX2sVmzU2UddX5HfcJayC3/lKbWdvpGk3b1DJP+838fpcO+AgYHa3P2br904NPpCgHcWRMHA7j+cSi5CHnZGK73DkLMpWXa3dVnTJDjqUiRx4dp26uWJdzsMjEZj6xLfxLNyeLTY6rpFNvvXSM9qKLbEQnFTnNnHMoXaOem4E+BMSzdVZiIB12PYpjtE9rSfOshEDfZYv6xjnIcdAuhPpxXLk2tAbSxAY9GRcdZQvHnM7oWLpG/ey1gV7IrC2ao8g+7atgzZEie+BzR9GTKX73qoL/4RPXd25sreXcNdW1zpH6zTzWzPvM8ZDF/Y/tWkcl+bP5/O3BSyN21suh1S7EXFaEc0kdTI06ugl7+tbI721zNnm6edE73kwsivhdNxJ2xoKT5ZOWo3pkrSjoKz1xDpxz1M0V9dR85XQ5utaiN+PtlEzW6K7gkgYt2MJFa4J1xSctSr7jfaC2ce0gJ3U88MrNRzpG73f5B+ZEa4OgyRphbOl3NP9H11r0Olsb4niUCOTGO7vfsRUOKrLnruRBSZ3YS69VR9YljGoeDlkjzFOpbe8crdmzhUgAACAASURBVLDtbN5njil/ehZnV/D5d6SZZJmUjTfHkWgFTi1cPXGXFsuRLN0EZ0CPZKy4Jr3k9NMxqJfzZAHCLme/biSxkhxuLj5pOaovBQiCCddaPjnnihz0VHDiiD5xXK6ndbLh6Jra1BxLDGr63tVG98RRMMnxlL45dnI24p2bM/rrumSlx5Z1QducH2BtoyMfFdY9Y6vkbKi5pjY1x7O1QfLWk3ge3e9cw9boC2Qr16g/GlNtpXvN8WgdwUn6xvmI/GaOqcRBfiGOkztnDWFjSbfeOcqNNVonjnFuJXMmQ93LpXtYY3JcwefvuzSONOmcm4NgWFMEFYdJwdizxV6Sq4WWm7xSnyvq0QcmZ3axGGISkS4O2ZfeSHIgqS1H9cjKFXRFfssnl+iksrXgUwYlHbUu4tNzKrPme0l+Td+72sgJpayiPuKTm8fSNeZJzhsu9E3vFdXHseJ5y7qgbU2QQK/cuKW5k30r14Z0Su/ByKJ0fnS/K0mSbaVjSfaKeq03uK4sJJLYX7MmpEfJ53F9ZI4kf+bxaN5njaOH85p1uYrP0uSBm5qbAuVrCm1ZWIAh604dWo0M+iCH5GPHwg3KjVNjGzexnExkWLqR5IBSu4/qc0En7T/zu3SP9iCf+UbPlIuevpVU9uqC7KMnuV65K/uVEq04phxDLklXcC3NMax1j6YBGF6lfnH8mecKXqlDvHNtwGVk3bTe73Cnzx1F/FcmD8xta+IAi5Lf4NroHK1g3TLvreOTdMEwvU9KclbxWZo8yHnVOn4cIDcqYHpfOcjh9vYvTcCsehw2NuYcBIlTeuPmbmjdSGlbHA+ftJTq4ZwLOmn/Wd81NznbWeDomd4Qqk+TjVadkH11MGzVMW1/lBjEtgquKaM08cLpwDMtOTZXrw05xNwcaQ1cvTbQCTbpfZbyO/p+dL+n/eQvc/dH2nbFd62XVb6T9cm6ysUDbM7NveyUz9N3HWfMkWTNPLbMe+u4+Ozcw7HWT5S3ks+/I00cecI5jq02QMlJ5BxcrSor3u3Ujl3bTpPMxMbCDQIrFp4K9uDAYp1upNSp0Y5PWkr1kpO2X/Fdjqk0t3Is0X4t/Nz78hYdxXtUTsuYs9pqjqJDZy1EW8Q2OhTx5P7T2hGHGIRLjDXuLDuO5KCXkhXpGtvLlqvXBuNFzlGnlnNxT+/3VAZzzL1aukfS9rO/S89VyYv8u/xRejxiTVvmIy2z5iiVO+O7eJ7Ne8tYegBL2el7ymgln39HmhZLKtrKWBzAWVHgzzmQs75cZwwgrlr8NTrUtoFLdOz0082FI8V5c53z6OwVKLCT6+KqJIN6+qooCKT1XJesGJjUb9aR8RUYzsbhOm1lPzofOZRaHWXnzJu4duzRdtwLmkMcAefMe8qSNQ83rok5R60P9MB+2sBVsrQu0ntOzNJxRu2J/Zlb9OVzds9evTa4F1NHHHVvPc/d71GG/CTzweeuBIL1MdPuaKNsKx1La4B1Sx/WZCyz5yjKnnV+Nu+t48gXlBhyXWU1n+XJA06JBXl2M7AwaDfi4OVAU0comLsdWVi5G4aMlU+OBXW6zlG2xjrOVUr1XK+dG8nqOaKvdKztL51b+5Xk4wwJUE8uJAFwya2JaJfYxaQhXudcsmhbYnzF2kCPIz1Tvfku+0p65/oc1eXWBjrhhGeNofFL97uu73DEHxGYWudlpe4kmalOq+ZohR13zPsVfJYnD0yGnmLSBYlD5wbV4gByb5GzywXjXpnvod+OzmImd4INjmflE/RMfXeS5bWx02xco4v86NnD3jXa/P2AM2MH8iqd38s4lyQPwCTDjwtSTl3bLyOJA/K1BTr7aeE9LATmhs+rsdvNET5xLXltPHHWxnQm0cYvj/rkMS3+05sdoFf0TTPY3C3jsuSB7VYWJEkDRQuU3YfRp8JU9t1QnzY+QVY36dm2+FNsY53VvC57ij136em1cRf5e8clceD+uWsnl13qV01c753ZeaNfljygMq8v9Kpilgk4NxbZXYt8lh07yMFhwFIJ3g469eiAHfyA9Ol29Ni+qo/Xxiqy+8olgLNbHP+K5wptlTiw5lz2JXBp8gCG2YsRefF1yL6orZkJmIAJmIAJvAaBy5MHsBHsZ2yPKzN+jamwFSZgAiZgAibwDAK3JA/PQGMtTcAETMAETMAEcgScPOSouM4ETMAETMAETKBIwMlDEY0vmIAJmIAJmIAJ5Ag4echRcZ0JmIAJmIAJmECRgJOHIhpfMAETMAETMAETyBFw8pCj4joTMAETMAETMIEiAScPRTS+YAImYAImYAImkCPg5CFHxXUmYAImYAImYAJFAk4eimh8wQRMwARMwARMIEfAyUOOiutMwARMwARMwASKBJw8FNH4ggmYgAmYgAmYQI6Ak4ccFdeZgAmYgAmYgAkUCTh5KKLxBRMwARMwARMwgRwBJw85Kq4zARMwARMwARMoEnDyUETjCyZgAiZgAiZgAjkCtyQPv//++9v3799z+jTV/fXXX2/IcjEBEzABEzABE7iOwOXJA8H+t99+67bw8+fPb58+ffpf8oE8JxDdON3RBEzABEzABJoJXJo8fPny5e3XX399+/HjR7Oi6vDLL7+8ffjw4Y1dBwqyPn78+PbHH3+oiY8mYAImYAImYAILCVyWPPCagqD/7du3bnMkg52HWFQ/IjvK87kJmMBzCPAA8fXr1zftSuIfONcDxnMs6dcUBjycsauL/Xz4PvKg1q+Ne74HApclD+wOjL5ewEGQgPz555//mhucxeiuxr+EusIETGBrAvgCdiP54B94gGAXEj9B3YzfVm0N4O3tp93Yi4+FBwzwh2LgBGL3GXymfpckD2TALOTRJwElCDnU3CA4C7++yNFxnQm8JgElCumuo+pHfl/1FGLYiu9LkwQe1vC7+F8XE5hNYHnyoKA+uuuA4We/bSjdRLOhWd5cAqwRnhqZP44u9xLYfT60VqDEA0maOFBPHYEzvuKkLd/TIHsv7fzo0cZ8i79rsSu3w6IEqjZ5eBKfv6332V0ElicPNbsO3Cjc1GmCwRac3t0BCGdwdOOz+GnDTePyDALMJ0kh86zk7z08Le46O7vPB76i5vUkvgNfkPoUvrPedi61Np7ZgJ3sSOAXa8sT+NTa4nZrCSxPHrjRCQylwqsIgoayZG4cim5+HIDqam4CAg83jMszCDDvrBEVzTtHl+sJ7Dwf2k3IPWWnpPA5+I5cW4IqfmfH0mJjSX9sxg9yX+XsL/VT/c58pKOP9xNYmjwoECj458yNOwl6UiBJIAHgBudmim1yMmJdzZix/d3nLbbdrSvziFPCMXM8mld05Tpt+TCXueRPsqJtrAOC2KsU2T/bHu4NnhTFmF2+o/VEe80f/fieltnzkZvzdMya79hFMKxZF6y7+NCRyiegcj1nf9r2yu8tNub04h6DEbZx7E3Ad+WTs9l19xFYmjzgoFjIRw4tmo7jIuvlU/ueLvbXOWPiJHcu3KDc4GcBeAcbmD/mhIQOfXG6HPlOfa6oPQ6Mj76nT0LMVRoQcnW5MZ5Shz2s7ZlF9xbsmI/IOBewCSzowX1Fe+4PvqfrL8c+V1djy8w1jp2stzNfwpi0S9dUqi/8uP92KrU2lnTGdt2brDfmDTt7yo58euxwn3UEliYPR8ElZxI3z8iCl0w5xjNHo/ZXH+XgUsd9tR6148kRoXcs6M98pXZoHnFkKpzTNg2i1KWOPlcnOU88YnvKbsQO8U0TbJIG2KUBQ+wjZ+4N7k8+8T7Jsc/V1eo/Y61L16h/bnyNldqfaytW6drNtb2irtbGFl1036brpEbGbnxqdHabawksSx54Emp1OnKKMej04OBmYexdHEO0gZsSh33mCGOfO89xarDM7TCUrvFEl3uqQwayYKBCXU1CofY+/uevjuAI/7SIcbxGME2500+7EfE+WTEfBHXGj+Okeh99l1+INqXtWxIH9eUhI7dOdf3KY42NrfrIB6f3V62cnfjU6ux21xFYljzIMdUmAjgWOb7RwCpnVfMEch3q/4yUc841OhBwYYoj4INtqTNO29A+BmqNgxMmwcI5SB7M4ZYWPbWWHBBBgY+K2OfaK4hFvamLT78aL6eLxtjpiL7pvOhJDxvEN/LAftXDXfOhOpz+UUmZx7bI4Hq87+Ab50jt0YP6eJ+smg/sRI/cepQ+pSP9WKulAj/uq2hHqW2sV3CN6zFev/L8zMYeXXQvxbXXImcnPi16u+01BP72+pPHUyJQI5abl5sHZ8uTQO9ij2PhFJG5U5Gzjo69Rj9uYjkX+mpnJQYEycbJ0kZMxTWOw9xQTxva0gdZuaQNx8y10hMa16IeyOM7ATUtyOdaHIdggi7MOfWM0xoE0nGu+i7nmjKPPJRMxTr00xxiK/2RxUf3DRxLRW1ygTiXPDA2fdKiuYr326r5YB0xt9jaUrSuOZYKMnP2MWa0Lddf91Xu2lV1NTYe6cK9Fu8ptZXc3L2oNmfHHfic6ejr9xBYkjwo4ORu6GgmDlTOTs4BZ4qzQwaOF4faUyQ352B75M3o05MYwYEbOGUpTugVHX7UU8EhBn7Vpc6GNmmdZIml5oh69KI9cxUDo+pyskrXkMVa4HrvfEvXK4/iEseUw451KSOuaR6YW+xXwX7a5/ipjTimSRZjI4/+yKdoHHRNS+naqvmQ3tzXtYXEAHsio9hXNujewk59YBHXfuyn8zP5arfyOKqD1mHkik/A9nR9tdoxqlvreG7/HAJLkgfd0Cy8o0JAxDHEzFh9ucZNUXIaR3K5hkxk7xKMFFRiAD6zget6QuUYC84BVkdtuCbGSqL0JEy96mjHefz+U/B//8McyEFpXjjKJjirKEDkgt/RNfV/0lGONZ0bzYtsgU9kRL3WOVxjKdXHNpxrfStoMh/w5chY0uFI3tG1dLwZ31lH6JYmPUeyaY9NpaI5oF3uk/JN5ej+ar0vUzkj389sPJONDawD5GCv7lWOMaE4k5O7vgOfnF6uu5/A315/oi61QQLnlVvc1Mn59aqlRZ8LYr0yR/rJybUmQ+p3xOOojRxJ7K9dC5wN5/HakY2aF80ZRzks9Tua+6Nr6v+kI/brSR/nzZrLzS+M+MQC85Qd10v1sa/OSfZoH+dP+qjNkbyja+o/+6i1muOUjiX94sNF2kZrkra5j9Zq2k/fNUZLQqO+M44a/8jG2nFgKgalB4FaWWon/e7iIz183I/APz3aJP0UnO586teiJ3jeXbipc4GiRq9c8E/7HbUpXYOPHDm69Tgv7TzEBO2Iu5KHO5/yUnaj35lb7NKTH8c0YMGXTywlTqX62Ld0TsDIrbPc+MjQWFcGBiX1NWtA64U+Kwt8mLc7ylU2jth2J58Rvd13LYF/erRJY5UC1iTxVWJw4Cz6oy3PKkETGtW8xy4No0QMR18qapNL1s7mgoCjre4ahx51kOz4lKMAluOuZCUNrlHmk88VGNNAlAveCtwwjKVUH9uUzhWI0nlUYpM+7Uvf1cE56qv7siZh0Xo5WvtRdu+5+PT2H+l3lY0jOt7JZ0Rv911LYEnyoK3TGFTWmpGXnnPa+ZZra/V+uscJEgiw42hnQG1yDpm54KNC2zRYKGARfGqLxsz1kbNJ5596Pq9SCPxpQFZCFW3MrUMxn5U8EJSZ51Qeeii5ZM5iUX06T7HNinN41KwDJbUp49k6ac567s9RXa6ycUTPO/mM6O2+awksSR5yznKtGXnpu+ihm6/HSeM4lQDE/gQLJQG0UcCOT/VKWtQOSgR75MV2XIdVbuciR1btc8kK7bXTEq+rT+0YuXF3q4NZtFHzkO665NbhzOQBWcwp4+YCLesmvc78o9dRUrqKtwLmmfwct7M+PdeVRPUkD9rt6RmXPlfZ2Ksf/Ub4jIzrvnsTeOnkAYfJzRkD5R3TIT16x0Z/JQckIjhfjtEuzpWkqA3jxsSB8bVjABe147wmiNBeQegsCZBTRW/0pV/65NvLY5d+mhOOYsN5nBdtS4s3uhPMFUCp1+4N9ZIZ60v2Mme05yMZpbbMF3PAB11r57wkb6Re458Fa3Tks7porZ4xzOmhvrlrNXVX2VijS6mNbOzhU5Lp+ucTmH5n6onqipv+DH+tkzqTM3p9loMgKME37kCkunGNNmeOWbLO2kX59Mk92cY28Zy2NbrEPk87jzbm5kX264h9sQ/1SjZK9SUmjJcbs9SeeunBWHcV7YihS6nAhPuGe3h1GQmO6tuj45U29uinPrLRyYOI+AiBZcnDFTf92RS2JA84MgX52mPNzYSTvsoJnvHwdRPYgYCCUborFnXT/XiFH5E+Nfdz1JFz9U3ra75faWONPqU2srGHT0mm659PwMnD4jl8ioNYjMHiTeB/BGqC0ZX3TY0+/1M+OVHfpLrq65U2VilUaCQbObqYgAg4eRCJRcenOIhF5lusCfyLQE0wuvK+qdHnX0b8t0J9S9eP6q+08UiPs2uykaOLCYiAkweRWHR8ioNYZL7FmsC/CNQEoyvvmxp9MKL2dabanb1yudLGf01CQ0UtnwaRbvoCBJw8/HcSdSPrxq851mTiknvmSF5gLdkEE6giUBOMrrxvavQpGaa+petH9VfaeKTH2TXZyNHFBETAyYNILDySiDh5WAjYoh9FQMHIP5jM//9NdptMzZeTh91m5l59picP+vMjAubdhYCNHmT4dxbtYtypg8c2gV0I+E81/zMT8pW7P1g4edjlztlLjyURfmWwbFnI0oOb9M6if/jnTh2eODbzpn9MiX/c6OhJ9Yn2PV1n/gw5/iNYJAU1/35EbVKv+3c1pxafkuqivml97ferbKzVJ9dONnJ0MQEReFzyIMdz9i8cYuAuN6Z0bv0HfTRJ7/FIECJhkMPSv4xZM+/vkdcdNrOuSR6YKxI95osE4qwoITxrd9X9O/LPLyuwntlSun6VjaXxa+pH+NTId5tnEliSPOhJe0Ww5GZDfk3Z5caUg7n79QkOfpUOBBBk86l5+mRt0La0K8QuA/MXC/NOsHLpI6D5qbkv43zmRmPemB9kqhBkSCDOCv1IIM6Kku6a9SRZtGXtqG9Nsqm20RbJOzvq3j5rV7qusVtsLMkq1UcmzA/8OTJfNeNKxx4+JZ1c/3wC//TOk+xZtdjksGq2r1no3CTocnfBgaGLnqLv0kfzMnN8nI+eTJCvMUqOSe1xXrTlSFKQJhH0TwOM5M/U/z3IYt3BGZ5izjFlLhZqTxvmhr7p/5dEO0Ex+NQEUt2XzO9Z0SuR2qDFfaZ1VZM0aHxs5P68o7Ta2KMjTLBPflP3IHXpPZaTfyefnD6u24PAkjtGwSR1OKMm5xxWSaac1A5Pqtys3Kg44zsLW8ozdcAunA/OKQYiJXm5AMF8xPbI4DsfzlXQM9U1V6f2PuYJ5O5FOBMQ+KRFOz7x3oU76zcG8VyikKsrya8J7pKnoJfKit/lG3JrLrbLnWNbjkWu7ey6Fht7x8a+HBclBXFec2PcySenj+v2ILAkedANwXFm4QbI3QS5MVbpkBurpk5PGDFA1vTbuY0CTc65y964Ra6kIn0vrrmKcuifOnQnD22rQbxhmRbNXUwSaEMSlz6N5hJx9Y/zq3lMx4rfmcM0UYzX47nGTddLbMP5kZ1p2/S7xqj1K2n/0e8a/8zG0XFy/XNJYdpO+t3FJ9XH3/chsCR50ILLOa1oOoGURUlmi0PBCcRCPR85M+SlbWL7eC65NU84sd+qc/TAltRZzx4P9nxSTqrnqASGY6yXLvSN7VSfHpkPbKJtWhRIYkKAg8y1pz/1ODMV9Zeu1LMOnurExDTHSjbrdyBHbWgb5y0Gb8nRUQEelmkR83iPao3m2jM/fFTUP95fzG+a8Kk9R/RGRssc0l73f5QVzxUEj1jE9vFcjFbfl3HM9LzGxrTPjO/aeYj3WCp3Bz6pTv6+B4G/vcFEfeQkjhwJw+FsuGnliFKnImfWk5WPOJSJKP4hCh4xQP7j4uAXBWYcLR8cEh8lEbpOnYITzlYJAH1oi35il0vooprqK3nxmoJ/DESSK51ie+mrOnSjTnOvtZAbS312PKIv8665l50xWIk7vGHEkU9sg23cV2LIEZnIo22uyPHHOVA79KIvclQ0Z/RLi8aN/GUTejFf6JEbS7IkPzf/apMetcZKAQ5Z2HGWYKRy9f1MvtqtPN6hA2sLbkfzhc136LaStWXPI7AkeUA9BbDSTZ+aIAcb6xUwep4ouDGQuVPRDRsd8Az9JDc6fQWOOFYuADA+rHD8BGrNl4ILzqNUNIYCfGynZCU6JwW72E7n6MAnFuZffTimwTS23fFcgS0mxWImLvCGPfeL2HPU/QMDFeTAKAZfOXe1iUeNnwusurdi8iD5cc1IXm7tIF/1Wj9qnx5l59F6SvvwXWu7NPdKSFhvnIsbnBgrssrJR+9WnXJyRurObByRneurRC+uy1w76nbgU9LN9fcS+Ke3nqiLgkd0fkfi5QTlQGnL4q5Z4KlcBb6evqms2d9xttFhz5AvB5qyTp2nHH0aHBS4I3v0ov4oAYtBDh2Qiw6Mo6BPvYrG0fd4PLoW2z3pXLzT5Jd6BcPSfaI1TFsVyYvzhOzYRm115B6ALWsBmXyo0/zEvpJPm7QcXUvb5r6zDghEKYtc27TuKIDJPtrAVGywgbqjMZVAaS7Sca/8fmTjTD10z+YSynScnfikuvn7/QSWJQ9aeDjHmqInMjkunAxOr8fZlIJpjR6r22APjiIGVcbkCQnbWz7SlT6wklw5UF3XsRQASoG7VC95HBkLW5DNh/nGRgXF6JiP5B1di+M95Rwu2HTmpPWknJuzlInWdesuDHOg+SHYsl50f/JdpbQ+uH50Tf1LR+2AxLVQapurl905RtILe9KiNYhvyRUSqqPkONdnVd2Rjbqm9VBzZI7TAj/WG58cy7T9TnxS3fz9fgLLkgdMI5idOU8hUADUjc7C5abpKXIoNTdIj/zRPjhT2ERniqND75ZP1APnqadJnAvyUvvFJXUsckZRHuel+rRd7rvGitvG0i+XEI6MlRv/7jqtZzgclSO7c9e4J1g7XOOo++VojNw1BaTYX0/xcV2qr+YzXTu6Xjrm1nqpbamedYytOX+An4BFTi/NQa4fa5B+OVtLeqysP7Jx1rgticNufGYxsJx5BJYmD3JGuWCRM4GbmaCnQJgGv1yftI4+yMGp7FxwqtzMs50X7OTo08RN9amjhReftJTq03bpd81B7fhqfxZo03F2/q7AdWbTEePSNXixbpSMcc+0FuYG+chSUUKRC7Zqr7Y1R9Y4Os5Y4+hEAhH1RQfpnNt5oA4bc/bgm9Btp1KycYaO2MscpvxKsnfkU9LV9fcQ+HfEmKiHHGh8ujkSz+LmhsZJ5JzBUV9dw1HhMHr7S85Vx9qb+UgfnHQqJ/dEdlXyUHLoqk/Xg9ZJTxA84nL3NdbhWYDSnDCHsTCfaf806aMN8mnXUkq8VZ9LvBmD+7O1pOuytb/ay9Y0EYAbuhHs0kId11JfoD4pz7T/1d9LNo7qoSQqt8aY6xLT3fiMcnD/uQTavE7H2Di3Wqejmz3nCGqH5mY4c9i1sp7SjgCUOgAF6ugwFKhSp4CD5ZOWUn3aLn5X8pabQ22FputB8167QxXH2/k8l8ChbwyoJFJwTnmpPs4r7dK5Y05JtmsL64H2zEHUQ/2VjMRrmtMZOwgap+eI7TCIaxo5Wj8xKRU/+KQF23dNVEs2pja0fNec6n5Oj2lytTOfFrvddi2Bf0eMyePJ8dQEBgX+6Lha1FFwig63pf9T2yopwG6cD8wVIGQTTOVEIh8csZxJDExyYlyL9ZIXj3DHAcmJR/mxHedcQyZzjVx9vzswpXrO+K5ADXfsw16CGt/j/YCzhgks1Ib5SwMfbaiXLLE7C4TMPXJpR3/Yl+4x2jEOOjGnWktpcjODT48M9IFfqj8stL6lP3VpwQ5s27mUbOzRWfMJk9KHNipP4CNdfbyXwPLkgZsch3XmfHCqtEufKlrw4CyQkTqWFhlPbMvNj+0EGz4EB3hGDgQOXecozrGOc5VSva7HI0FGY8agGNvEc7VnDNZFdF6x3SucwyOyT+dFNhIwYAgTjnxPC3VRFuxy7dJ+6IBc1ojmPW0Tv9MG2Ue6xPZXn2NzLjE400Mc4n1x1ueu6702juj7JD4jdrrvHALLkwfUxGGS9bI4Y9ETBA6R6zWOMPaP50pSepxKlONzEzABEzABEzCBYwKXJA+owFZh3H1It9NGEgfkk4AoGTk22VdNwARMwARMwARGCFyWPLAVyu6CtqjZuuY7AZ/zkZLKHpHlviZgAiZgAiZgAscELkseUIPXF7N3B3hdwa6GX1ccT7SvmoAJmIAJmMAsApcmDyjNqwt+EDarIC++Dpkl13JMwARMwARMwATyBC5PHlCDYF/zq++8yn/X8gNMJw5/8/CZCZiACZiACVxB4Jbk4QrDPIYJmIAJmIAJmMAaAk4e1nC1VBMwARMwARN4WQJOHl52am2YCZiACZiACawh4ORhDVdLNQETMAETMIGXJeDk4WWn1oaZgAmYgAmYwBoCTh7WcLVUEzABEzABE3hZAk4eXnZqbZgJmIAJmIAJrCHg5GENV0s1ARMwARMwgZcl4OThZafWhpmACZiACZjAGgJOHtZwtVQTMAETMAETeFkCTh5edmptmAmYgAmYgAmsIeDkYQ1XSzUBEzABEzCBlyXg5OFlp9aGmYAJmIAJmMAaAk4e1nC1VBMwARMwARN4WQK3JA/+X3K/7HqyYSZgAiZgAu+AwOXJA4nDb7/91o328+fPb58+fXr7/v37TxnI4+NiAiZgAiZgAiZwDYFLk4cvX768/frrr28/fvzotu6XX355+/Dhw9tff/31UwayPn78+PbHH390y3RHEzABEzABEzCBegKXJQ/sFBD0v337Vq9d0lIy2HmIRfUjsqM8n78GgT//lQG4GQAAIABJREFU/PNnUsl64cMO1XtbI1+/fv1ptxiwc6fE+zVm2VaYgAncQeCy5IHdgdHXCzhCEhCCQlpwiqO7GqlMf38mAYIja4G1wo4UCQNrR7tWnL96IaHGXj7YCwN2/sTgvSVRrz7fts8EriZwSfKA04qvGnqNVIKQ68/rCxyjX1/k6LyvOgKjEodouepZJ69eZGuaJCgBH/nd0auzs30mYALnBJYnDwrqo7sOmHL22wYSBwLDyG8qzpG5xY4ECIpKHJl/gmZuHZBU8FFhl4It/VxbtdnlGG0800kM0nZKKmqThyfxSW31dxMwgXUE/vaii8ao2XXAKeqddFSD1xPUI4OC0z9y8ji63BNnlPkK52xJEwSwd+eCnlcU1k/NKyvWDuuDtrGQ2JKY7lxqbTyzgd07GORe/ZX6PoFPSXfXm4AJrCGwPHnAUZMAlArOjCdGPjg1nCQF58b3WFcTLHmietVtaYIxLMUUNnw/SqhK3FfWow96Hc37rPH1JF2TqGiNKRmNOpA8sBZ3LC02lvTn3sF+7g3dY6W2ufqd+eT0dZ0JmMBaAkuTByUAR84qBj6CIU85ODqcHM4cxxnbnOGoGfNMxpXXa22jHUkDTlx9FFSuCNK1TODP3CmxyfWrSQJz/dI6MSEonhWSC/QqvT7jOjrDdKfSYmNOb+491gy2YT+Jk9ZPrn2pblc+JX1dbwImsJbA0uQBR43TqnVWBEEcHZ/c02EtCsasfadbK3N2O5wxycBRYhXHhAd2EZxjgRn1yLuzMMcwRx/pmktqWu0+sklP0mfri+usqZw+UT7rlTnZqdTaWNKZRI2EiHWj+xEWZ8xy8nbkk9PTdSZgAusJLE0eeNLBUdUWHCWBECc1UghiyOlxkCPj1vYlgMKmNnFALhyxKS1ixvHOQpCKCR+6loJ1j/2pbcwtDM/sVuJQEzCxAb1b5iXVa+b3WhtbxtR66Umud+PTYrfbmoAJzCXw72g0Sb5eH5w59zicHNvo1rGefHcJAtFGHHBN0It9OCeo0S8tO766kL6l5IHrJBAjgVpr5ShBbEkcxJWgusvuQ42N0rv2CBO48+kpO/Hp0d99TMAE5hDo8yAVY+tX3bWJAIFeT9ctCUdOFQWm0R2MnOzROmw8Cqo5+Xriy/V7avKAncwzCRH2tRb6nT09M/81Ow5xbCW9OySeNTZG3WvPR5KHnfjU2ut2JmAC8wksSx6UCNSojKPGURL0eerLBckaObENDhKZOxXsRK/ahEq6HyUIR9fU/44jdp7NI0/BzPdZEpDqL45HAZ7dJ+Y/l5iQVLDWSoV+rTqVZPXW19h4JJv+ORuUiHJ/9pYd+PTq7n4mYAJzCCxJHrQ1euagcPAEGAKNAgGOne/IwMHzpNNTJDcXPHrkzejTmxgdJQhH12bo3CujJnlAtrbmj4J5qgNBUWskvcZ31g4Bjg/rIH6YA/oerYsz+bkxZ9eN6iCu8XcocJFc1k1vkQzkuZiACbxPAkuSBwU0nMxR0e5E/Pt69eUaTr/XQem1SW/ycaR3z7WRJ0k9LRL40iJesNqp1CYPzC9tW14x0f4oMdVvXmhX+hyxUn8ltEdtV107s/FsXNaF7i/dSyRTrKHRe2IHPmf2+7oJmMBaAkuSBz31cDwqOLjcEyd1XBspcnBnOoyM0dJ39GlNQTAdU++gd7FT+qFvbULTwkbJUkw4NaaOJFu0O/qobe6oMVoSmpyc3jqNf2Rji2xxyN1rLXLUVvrdxUd6+GgCJnAfgSXJg149jD7hjGCRg6sNYCNjnfXV0/WILvQlIKcBQInanaxz9rckD0r0ap70ZS99Vhb0z+30rBxTsq+yUeP1HO/k06Ov+5iACcwlsCR5UKAjgN9VCLI4uKPt7at0m7E7oNce6dMoAe6uIHfEryV50FzVPMlql2L12oIpNtxRrrJxxLY7+Yzo7b4mYAJzCCzxjrxbxfEe/ShtjvrHUtDhrgAQNdPvL0YDnpIynkyRRZCBdbobEce++pxdFu0kwL52R4S2NUmQ3uP3/hamlodYj85Z7Xix3VU2xjFbz+/k06qr25uACcwnsCR52CVo76KHHO2MZIrAjDw+JCUzZM5aVtIrd0x3TNIxFTDT+vT7VXOqV289yQN90LOnL/ZeZWPKtuX7CJ+WcdzWBExgTwIvnTxoB+TuJ3PpsecS2EMrEo6agHtVYNXvDji2lveQPIzwaeXp9iZgAvsRmJ48yHHi5O8utQFptZ5XBbzVdqyUX/NqR7+NYF5Xl5HgqHugZ+fhShtHGI7wGRnXfU3ABPYgMD3Cy3Fe4eDPELYkD9Jbgb7mWPNUOuMvLc7sfIXrCkZHf0WhObpibUmfmjlO+UtPjq1Ffa+wsVW32H6ET5TjcxMwgWcScPKweN6eEgwWYzgVXxOMrmRZo0/JKOnJsbWor5OHVnJubwImcCUBJw+LaT8lGCzGcCq+JlhfybJGn5JR0pNja1FfJw+t5NzeBEzgSgJOHhbTfkowWIzhVHxNsL6SZY0+GEWQr3nFFdscwbjSxiM9zq7V8jmT4+smYALPJODk4b/zJqcdnfzZOQ70rEju7k+SZ3asvl4TjK5kWaNPiYn05Nha1Hf39TLCp5WJ25uACexHwMnDBXNCErJ7MLgAw+EQCkb+weR//o2I3deL5oujiwmYwPsjMD150J+aETDvLjhg9Oh5Apypu3YwZsp8NVn+U83/zKjuHycPr7bCbY8JvBaBJRF+ZbBseeKRHjjkO4v/PwDn9GsTPc3pucSxFi3rLB1Jrx56k9arbEz1bvk+wqdlHLc1ARPYk8DjkgcFmZr/Z8IuTlg6X/VPSfNvS/Akf0fShI3808XYzP97o+b/lMmt4X+e+m8Hscu6/Vujf5/5n6f+NxPXmMB7IrAkedCT9opgiWOt+R8oMYm7OGE9pfU+ibYsSBIGBeIrxou66f8eSmBhbNnN97PCXKH3WVEi1vo/xiKJ0f9I7Oz/s4EOGqeHIX2wp6dvHLvVxjN26XUx0f2KzjCqSTpH+KR6+LsJmMDzCCxJHlY5FpwaDu7oR3WaAjlwdLm7KKgSTFcW5Ov/ozESvHp0JNAxdsq7Zi1ormqSDIJbi21KpgiQBMvagKyA2sNitE+rjT3jaQyYiwn3FWyZx7PE/04+Pfa6jwmYwFwCS5IHHBJOqHbLutYk5CFXzu6onwISTvLugr7onQbWmXphJ0/UjKUn/t4n3x69NDfpnCtxOkoMFLRqXkXJtpoEksSBQMiORs2aiXYzXwTIO0qLjb36sRZz9uneRYejciefI718zQRM4BoCS5IHOb8zB9RqIo7tKAhFeat0iGO0nOtJrzWI1Y4R5cr2K5MH2ZeOyRPsWaAhkBHkow0lu5UUnr16QBbBkU+N3Diexqhda7HvjHONf2bjjLFSGVo7R/eu9LuLT6qzv5uACVxPYEnyIOdy9tSPU8cBEVwIHum7Vur56F048tI2JWSSW/M0W5Ixs15P4OmT+cwxJEsBgHm4quj1RC5Qax5zutCe6y2BKK6JnEzqxKCHt3ZCevqW9Gmtr7GxVWZN+5r7Zgc+Nba4jQmYwDoCS5IHBYTctmg0hScrHLSSjTSAKOD2PIEpmJ29u436rD6HB3qtLgqcVyYPRwnC0TXpWpsUwk67HLlERWxJRhn3qI3apsca+Wmf2d/v0EG7RGdr9A7dZvO1PBMwgTECS5IHVNIv/mudt7aYozlKHnoSAALHWfISx7rinEQJvVYHdQXk1eNEZkcJQukaa4MgTzBqKeJY2hlQMkoQpI0SSfRgXZ7tRvXo1KJ/TdszG2tktLaBDZ+ze3YHPq22ub0JmMBcAsuSB3YLcNZnjlrm5J5m2IlIdyPU/uio4NHT90jujGsEstyTHbx0rfZY0ucpyQN6Eoh6ksOjAKbAy/pjDMnnqKS2tC6VsJYSkxLzFfVHNs4ej3ulZi524jObgeWZgAnUE1iWPMjJ1L5y0HtUPS3j6HH+cvz1Jv39vrsUIFpkzW6LPThpglosbNtje8sn9o/ndyQPJDzMl+Yv6kN9uguEvdT3BmnZmHtK1rXc2tO6LO12UJ/qGm258lx25GyEM/xaPsjLFSUONa+OduKTs8V1JmAC1xBYljygPkGSJ72aImeoP8HDSZWc3Zk8BbKc0z3re8V1nDRsegPnmY4KOrlAfta39zoBiECWJmxKEmKwnmE/c5tLwtBfiWhp/aAnayQtSlhXzUs63tn3IxvP+tZeJ8GCY03isBufWhvdzgRMYD6BpcmDAkrt7gFOHWdGAOLpryf40wc5MVjNxzYuEWdNYrUiUN2RPGAH3JnzWFQvO7GbudX32Lb1HDsJfOk6USKa23nQ+sglD+i+y66DWJRs1PWRI3NQmzgwzo58Rux3XxMwgX4CS5MHOXHtJpypSTDFeePQ0ifYs766rmDV219yrjqmgW/GuARNAvmMAN2iD/MXgxG2MZ/p7tMsmyU/t8OAHrlEQOsjTSxIamB25W5NDdsjG2v6l9ro9Vnu3oRnmlztyqdkn+tNwATWEliaPKB6LniUTNJORfr0Wmqfq3+v72QJejh97CcI8iGAwpL62t2fHNPaOu2mMDbBh/E5zkoWcnooQWXsWJQkYL/Gpy068VGd+pDgpAmFrt19LNk4opfuNa2V9Jiy2JnPCAf3NQET6COwPHmQE68JXgr8qWOvNY0xcIK5J9FaGU9th+0EmdKnl2kPDwI5etTMeY/8tA9rjCQ1tZHdJ4KeAiNtYjIhOdSluyO6tsuxZGOvfmJSOsZ76Al8ejm4nwmYQB+B5ckDDl1PwEcqsn1Ku/QJ8qhPeg2Hl3uqTNv5++sRILjGgFdrIQnO6t2RWl3O2vXaeCb36PqT+BzZ4WsmYAJzCSxPHlBXv35Pn0T1tDjjHb2SlJ4AMheppZmACZiACZjAaxO4JHkAIdvCbH+q6D2utk15qhopJCBKRkbkuK8JmIAJmIAJmMAxgcuSB15HkCiQNFB4H813Av7oX0akso9N9lUTMAETMAETMIERApclDyjJ64vZuwO8rmBXw68rRpaB+5qACZiACZhAPYFLkwfU4tXFzH/ACXnxdUi96W5pAiZgAiZgAibQQ+Dy5AElCfYjf1UhQ/kBphMH0fDRBEzABEzABK4hcEvycI1pHsUETMAETMAETGAFAScPK6hapgmYgAmYgAm8MAEnDy88uTbNBEzABEzABFYQcPKwgqplmoAJmIAJmMALE3Dy8MKTa9NMwARMwARMYAUBJw8rqFqmCZiACZiACbwwAScPLzy5Ns0ETMAETMAEVhBw8rCCqmWagAmYgAmYwAsTcPLwwpNr00zABEzABExgBQEnDyuoWqYJmIAJmIAJvDABJw8vPLk2zQRMwARMwARWEHDysIKqZZqACZiACZjACxNw8vDCk2vTTMAETMAETGAFAScPK6hapgmYgAmYgAm8MIFbkodZ/0tuzYv/19wi4aMJmIAJmIAJrCdwefJA4vDbb79Ntwy5fFxMwARMwARMwATWErg0efjy5cvbr7/++vbjx48hq759+/b2xx9/vHFUQebHjx9/1qvORxMwARMwARMwgfkELksevn///vbhw4d/BPxecz59+vRTFjJjmTlGlLvjOYkTOziwYMclJlJ36/vnn3++ff78+ad+o4ni3bbMGp/5gQnzteOczbLTckzABN4HgcuSB3YFZr1WIAnBAecKDnrG7kZO9i512AgDdnKURPD969evt6qILrDnI92cPLz95MH8aLeMeeJ+UN2tk+bBTcAETKCDwCXJA4EER8kPG0cLAQpZPN3mCsHql19+ednXF7KfQKQim7G7J1gTzErJmMY4OyKDeZmVIJ6N96TruSSBe4F65szFBEzABJ5GYHnyoMA2K6gQNHmyPSq06Q2kR3JXXCPoxkTgbAw4EnTSREy7EchrLYyPzN6ihGZkjrGHBKYn+enVu7df65zBJ2dXa/LwJEa9bN3PBEzgGQT6I0alfTW7DjhjvQeOYtldoB4ZKnw/C5B6qmsJypJ/5RE7Wl+xkBTlAj2yqO8J4KPJAzbMSNbQne38nUvPnOXsYW0zXyR9LeUJjFrscVsTMIFnEliePBBYCPilgvMkeCmAKTGQc8XBqg4Z8bwkk3p+TEhA27XoaT390eeZvvDIBVjJO2Jdki32petH9cxHb9KSk4ttrQE1J2dFnRi3zlnUhR0ImLE2e+3cmVG01ecmYAKvS2Bp8qAE4Cjgx+1cBSF2DuRcS1u+Z1NSM/aZjFXXsZmkiqDdUhS8cgnC0bWzMUaSB5I05g3ezDNPxuhH/dG8l3Ta9S9meudMdmIXXGDFh8SBdd5TdmXUY4v7mIAJPJPA0uSBQIKjjAnCESacK09VfOKriqM+R9cYmyC2WyFYkxzVcpH+RwnC0TX1Lx1HkgfmCs4kQwRE9OCjpII10Frog7ydSu+cyQbmWmzgxPzz6d3F2JGRbPXRBEzg9QksTR5wjgSX2qIg1hNwcmMogLUG6ZysWXXoAhdsbS1HCcLRtTgOCVr6IVCTAKT1fD/bWqcfn1wQlNzWJ2z9ZqVn5yLaOut8ZM5KOmi+WAs9ZTdGPTa4jwmYwHMJLEse9NqgJUgqecCxzij6seYuQQibZGNvQqNgnfJRMDpLvGiXfuiD3LSe77mkII5d0oc2JB6SG/vUnJP47bL7MDpnJXu1awPnnrITox793ccETOC5BJYlD62BgwAvZ9qScByh17vhs4B6JGP2NZ40cfq9RU/zafKhRKnndY+CY49O7E6QIOSK5PYERyWfOyR+o3OWY0Od2PXwof9OjEo2ut4ETOA1CeS9/gRblQjUiCJA4KAJ9gRHnOqsQmDr3RqepYPkYCf6jARE7RKkMlTf+ooA3RTkpWfLUUkigSwtWgM9OiFrVdBO9Tz6PjpnrGnWc45BKRE80ie9tgOjVCd/NwETeH0CS5IHnooJkgSPo8JTsp6+FAwVBJGB480FpSOZ6TXJzznvtO3q7zN+g4EdBAzYavdBOyxnv08o2TeSPOT0YRwF3ZFdlhm8SjbX1o/qwK4C90LKQcw5jpRR/UbGdl8TMIH3S2BJ8lBymClmPZnGoKe+XCPwK0CmfWu/Hz0Z18qY1a4moaoZi4SKBIKPkqPIsEZGbKNAFutazrVjJH3ivI7Mn17FKLFs0WlW29E5I7lSgNeuGkdYjSYO2LgDo1msLccETOA5BJYkDwpGZ86RRIHAkxbquDajyLme6TJjrCMZSopGgnwqH5l8RgI0MjVfqfzW75q3WXMnZnf9ZkXjz5qz2XyYH+l4F6PWNeL2JmACr0FgSfKgVw+jrxxmIJZz5Qn9zqIATTKzW+HpGE47Fp78eVK/o+w8Z5HHnYyiHj43ARN4PwSWJA/aSt8hIPG0N7r1PGM5aOt6ByYz7LlKhn5UeNV4cZynzNmdjCIvn5uACbwfAkuSB97nErB5ot2hoAufO4t+BzD6iuFOG+4Y+85E9ClzdiejO9aExzQBE7ifwJKIukOwjmh30GcHHSKTp5zrFVjvjg3ce3/v8pQ5G2X0lLVgPU3ABPYh8C6SB+2E8ArjrvKUQHQXn9K4+t3BSAIw0pd5272MMtrdPutnAiawH4HpnpEnxN0C5d3buvrdBXq4tBEYDYysxZ7k4UlzNsqobUbc2gRMwATe3pYlDzsFypbkQY5YCVDN8WxLXQnVTkyesvg1Hz0JADb2Jg9PmrNRRk9ZC9bTBExgHwJOHi6YiycFogtwNA0xGhidPDThdmMTMAETqCLg5KEK01gjJw/9/Jw8nLMbZXQ+gluYgAmYwD8JOHn4J48l35w89GOtDYxqV/OaSW2Yl1J50pzJdo4uJmACJnAFAScPCWU5YgWYmuNREEL8kwJRguP2r5qP3sDI/PX0fdKcjTK6fZKtgAmYwOMIOHm4YMqeFIguwNE0xGhgdPLQhNuNTcAETKCKwPTkQX/ihtPepbT8tcUKncXEf23RTveu5OFJczbKqH1W3MMETOC9E1gS4bXVvwtc6UNAuKtIh7vGf+q4o4ER7sjoKU+Zs1FGPWzcxwRM4H0TeFfJw51T/ZRAdCej3Nij//Tye0geRhnluLvOBEzABI4ILEke9H/5W/U/xuJ/LsXvCGp3EnYI3Hp1svp/jAXzz58/v2k8bGc+ep++jxZP7TVsZnz9M+Et+sgO5runjCQPGnv1nGEbCYD+R1zozHnt/9JeevYy6uHqPiZgAu+bwJLkYbUz+/Lly89/OZAgeVZwqDhjdLqzXPG/d9Z7eoK0AgnJhIJSDa8VjGCPTkr2tM1eo48S0RV6ncm8Ys60lpkjJdvMnRKtmgTiTkZnDH3dBEzgNQksSR60jfr169cl1OTU5WyPBlHyQJ87iwImwWJVka0pdziRQPHpKQT/3uQLXRg31UkB72wO6UvbO8oVc6YxUg7iVsP9TkZ3zIvHNAETuJ9AXzQ50VsOkeOKwlMZCUpNWa1LjQ60UWCvedquldnSjgDDp6eMJA9K9NKtf83LUTIlZrVz3WPbUR+Nf8ecaeyz5EHt7mJ0xM/XTMAEXpdAXzQ54SGHdva0T0DRLkXc1pZ4BTy2dFW0Nc8YNUXya7Z/a+SNtMGeaMuIrJa+2nnoHXskedAcpvoyH1w7WiPa0k93LVJZK7/fNWfaeThLXHZgtJK/ZZuACexJYEnyQFKA0z3bbsYx4iSVbKRPTwow0YHiLM+exiJq2qJLui0c21x1XnoKXz2+EqjahCvVpzd50DrIzZfmPHdN49/FS+NzvEsH7h0S6nTHJup2p36pHv5uAibwvggsSR5AyFMuQfvM+Qk3zjJNNpQ8xMCvZEP9zo41ScyZjFnX9TTJ8aoihiNj9iYPRwnC0TWxIXge7Uyo3crjHXNGspzbicvZuQOjnF6uMwETeG0Cy5IHHCCBm+BVU3JPeDwxp7sRNbLURgFqRIZkzTpe6ex5xcN4ceemx447kocZSU+Prbk+V86ZkpWa+2YnRjlurjMBE3hdAsuSBzm22sCld7cEfIre08ddh9Zp0I/yahxxq+ze9tKptCNDoCbpavnkdFHi0JI4KdlqGRt7SkW/T8n91kJjlV5bkEymO1GlcVbXn81ZCy/almxW4lC7S7QTo9VzYPkmYAJ7EViWPGAmT2y5wJFDoGBCEkHBMR4FppyMtE6BuBSo0/ZXfEcXuIzadqQrCRdjtCQOR/LgWAp4R/24psCattN855JLJY61QTSVPfv7FXOmZLvW5t0YzWZueSZgAnsTWJo8ELwIHrW7B7QlmOBIeeocCfr0RR5JyG6FxIHgPmJfySZkkrDNShwYZyR50G9f0jWgp/lcsET3XXYdxHnlnGmXKMdC46fHHRmlOvq7CZjA6xJYmjzo6VK7CWcYCTQEDQLr6KsGHDHJw6icM517rhPgsXPF7gPJVy7xInhTz5y0lpHkQUlCugaQmUug9KqjR89Wu1rar5wz1n0uydX9k+q5K6NUT383ARN4XQJLkwewEbBwjjVFOxUznpp3fx+swEAgmFW0lU3SVPr07HaMJA8KuiQKSgj0+5bckzZrJfcqYxajETkr5kxJbmm+cvfOzoxG+LqvCZjAcwgsTx7kHNNt6xwiBfyeABflKYiueLKP44yewya3S9ArV0/5pUBEfU8ZSR4Yj/lgbqUXwS+3I0TSmAuWPTqv6jN7zmArLrkj12N5AqOor89NwARek0BfNGlgQSLAU+fZbgJPo7Sb8SROEM1tiTeofVlTgtHuSc5o8lADkwSDcUYTx5qxRtvcNWdPYjTK2P1NwAT2JrA8ecB8bVPj/GLRUzfb1Dx14ZRHi5KV3QPyqJ3ubwImYAImYAJ3EbgkecA4tqPj7oPeH2urdkbiwDilHwzeBdjjmoAJmIAJmMCrEbgseUh/Ic47bxIHdh9y7797QKdj9MhwHxMwARMwARMwgWMClyUPqMHrC72qOFar/SqvK9jd8OuKdnbuYQImYAImYAItBC5NHlCMVxe5v2lvUTrXFrnxtUiujetMwARMwARMwATGCVyePKAyQX7GX1XIfH6I6cRBNHw0ARMwARMwgbUEbkke1ppk6SZgAiZgAiZgAisJOHlYSdeyTcAETMAETOAFCTh5eMFJtUkmYAImYAImsJKAk4eVdC3bBEzABEzABF6QgJOHF5xUm2QCJmACJmACKwk4eVhJ17JNwARMwARM4AUJOHl4wUm1SSZgAiZgAiawkoCTh5V0LdsETMAETMAEXpCAk4cXnFSbZAImYAImYAIrCTh5WEnXsk3ABEzABEzgBQk4eXjBSbVJJmACJmACJrCSgJOHlXQt2wRMwARMwARekICThxecVJtkAiZgAiZgAisJOHlYSdeyTcAETMAETOAFCTh5eMFJtUkmYAImYAImsJLALcnD77///vb9+/dhu/766683ZLmYgAmYgAmYgAlcR+Dy5IFg/9tvv3Vb+Pnz57dPnz79L/lAnhOIbpzuaAImYAImYALNBC5NHr58+fL266+/vv348aNZUXX45Zdf3j58+PDGrgMFWR8/fnz7448/1MRHEzABEzABEzCBhQQuSx54TUHQ//btW7c5ksHOQyyqH5Ed5T3l/M8//3xjJ4adnJGE7Cn21ujJGtDuFOuEXan3ti5qOLmNCZiACYwQuCx5YHdg9PXC169ffyYgBM20EDBGdzVSmbt+JxhiKx92c/ju5OHtJw8SVHahYMJ6Yd2pbtf5tF4mYAIm8DQClyQPBLj4qqEXkhKEXH+CJ680Xv31hRKo0UQsx/Dpdbkkgddb1LM2XEzABEzABOYQWJ48KKjPCHZnv20gcSBIPOUpnESgJdnhaZpAOMKSYMp2/hMY9fDJ2dWSPDyJzxwXYCkmYAIm0E5gefJQs+tAkND76WgCryeoRwaFIJALDuqjp8yWgKy+Vx+xufU1C+1nJEckHyRiO5cePjl7WEOsG3atassT+NTa4nYmYAImsILA8uSBgEfJjMh9AAAVO0lEQVQCUCo4dYI9H5w8QYMipx/rSA7OCj8e3H2LWjsILf/WBVxgMbLrENmRPLQE1Nh39XkPn1QnkkyYsRZ67NyZT2qrv5uACZjA1QSWJg9KAJQQ5IyLOwkKjiQJcvoEktgmJyPW1YwZ2199ji0kVK27IyRF8ME+eJJEkJRRf8S3ZN+uf6HSy0d2YhdcYMWHxKEm6VR/HXflI/18NAETMIE7CSxNHghwOPDa4I/T54mPj15V9MBhTILqjoWkgcSololsgAl2kXgQEEmq+Cip6NmRoA/ydiq9fGQDXMUGTrDm07LLI1k78pFuPpqACZjAnQSWJg84bYJebdGri55AGMdQQG0N0FHGinP0gUnrrgO6kDjwyQVBEgCutT5h055+PTsXu/Ep6UMigY1wby278WnV3+1NwARMYBWBZcmDXh+0BEolDzj8kaIfae4SFGWL7OtJagiAfHKFJ2yu9XAj0dpl92GET46L6rRr83Q+ssdHEzABE7ibQD4aTdCqNaAR6OXkWxKOnKp6Xz26g5GTPVLH02/v6xS9x8+Nr6DbExyV5O2QaI3wyXFRndg9nY/s8dEETMAE7iawLHlQIlBjIIGLwEHQ5ykYZz9aereqR8ct9cdGdOoN0krGCPZpEevW1xaSsypoS37NcZQPa4d1k2Og1zo9Oz7ovgOfGoZuYwImYAJXEViSPOCkCZQEtaPC6wU9FSqosltAX2QQEHLB8kimrkluLpiozZXH0d9hYAdBDKYxCCro9u5owGBUtxkcR3VgV4F1k3LQrszIbtaobjP4WIYJmIAJ7ERgSfJQcuSp4Xpi5qlaRX25RgIQA6Xa1ByPntRr+s9uU5NMnY2pnRmSCNhEfr2cGHOH34iM8iG5UpDX7hVHWI0kDrvwOVsbvm4CJmACVxJYkjzUPu2RKBAQ00Id10aKAuJo4BjRQX2VEMUkSdd6juIzykhjS7+7fiOi8c1HM+KjCZiACexNYEnyoFcPva8cZiBTQOIJ/e6iZIqEZtfCkz9P6ncU87mDusc0ARMwgX4CS5IH/d5g1pNxj3k8nY9uhfeMm+uj7fQ7eeT0inX6UWGsu+rcfK4i7XFMwARMYA6BJckD75kJ3Hf/WBEd+Nxd9NuEkd8lrLbhzoTPfFbPruWbgAmYwFwCSyLrLkHbetQvFr1q6t0dgXXv70t2macjWqN8jmT7mgmYgAk8jcBLJw/aAcn9KPPKiXpCcNTvDkYSgJG+MNq5jPLZ2TbrZgImYAKtBKZ7bP1QcYdgcOdWvCZCv73Y4Yeb0il3HA2OzHdP8vBe+OSYu84ETMAEnkpgWfKwQ7BsSR5i0qOdgrNjTbCU3B14HC3Su5KH98LniL2vmYAJmMDTCDh5WDxj7yU49u48vBc+i5eZxZuACZjApQScPCzG/V6Co5OHxQvJ4k3ABExgIwJOHhZPxqslD3q9cfZKJ16HQam8Gp+Sna43ARMwgVci4OThv7OpIBaD3tm5f/Pw960Aqxoef/f4z5m4v/pvQlK7/d0ETMAEnkzAycPi2XsvwdHJw+KFZPEmYAImsBGB6cmD/vSOYHJ3aflri1W6iserP1n3Jg/vhc+q9WW5JmACJnAHgSURnkCyKnnQO/eaLXLpQYC6s0iPO3U4G7uFa04WNtbMSanvqvWSG6+nbpRPz5juYwImYAK7Enhc8qDdhJr/Y+cuQXsXPY4W4eg/v/zqycMonyP2vmYCJmACTyOwJHnQ/6Fxxf8YiyBV+7+O3iVoK+FZ+T/GQjb/y2/G0j/LzZGgVzOudOQ3Gj1lJHnQ2DV69uimPtgGD/2PuNCZ85pEVDr28pEOPpqACZjAKxBYkjyscrR6P06QPCs7/VDxiv/ltBIGsSEQ62mZAHlWlPCdtVtx/Qo+cFGyoKSWNSJuZwnEnXxWMLdMEzABExghsCR5UND6+vXriG7/6os8AkDNE6qSBwLT3UXvyxXYV+gDF7inRUHv7ImZ/rU7OukYo9+v4KMxlDhIZ60pEt6jciefI718zQRMwATuILAkeZCj5jizEBxzATI3xiodcmOd1SmR+fz581nT6ddrdoGkXy3b2Upq/Dv4aOyj5EFt7uIzm7flmYAJmMAogSXJg5zt2VN/3Fpn+zj9qwie9vho2x15aZsSABw9fc+2o0v9Z9dHO2bLPpKnnYej3Rpt6c/eKTrSK712Fx/tPBwlLjvwSXn5uwmYgAncSWBJ8kCgIhicbYPjsHHeSjbSJzsCP3KOHHsJnp64023qUvvV9XqvfxTEZ+ugwHi2A3SHbqmtd+nAGiVxPZqXu3RLGfm7CZiACexCYEnygHH6RfuRU44QcOJpsqHkoScBqEle4virzxXIOV5RYEZQTBOy3Ni0I0DeWa7mg60kpbkdr5TDDnxSnfzdBEzABO4ksCx5wDETwGtfG+Se7gh8NcEvBVjayUjbXf39qiBEwkbyptc9R3YqQbsqqTnS5So+6KBk5Wx97sTniJ2vmYAJmMCVBJYlD3K6ta8c9F6ZwE/hyZnko2fXQT+WPAsMV4JmLOmV243RNWyu/YhVtCMmDrlxYlvOSdrSHZ+0zVXfxaCkdy0XtSv9CFKJQ03CtBOfq+bB45iACZjAGYFlyQMD8yRZ8/RLW+0W6M8ZcdoEk56i3zuUglCPzBl90AcmvXbV6KAdhxrblaDVBNGasUfbXMFHSW2NzbvxGeXr/iZgAiYwi8DS5IFXDjwF1u4e0JadChw8T8M1ATAFQR/kkHzsWEgcSCB6bDuzB94kD7Wyab/LroNsW8mHv9SBfU3igD478hEnH03ABEzgTgJLk4d0N+HMUAIfwQwH3/vKgcBA8tDb/0zH0esEdmycvfugJ+r0T1kZL7eLQzs45V59jNo40n8VH3RifeWSSq3TqPeufKKOPjcBEzCBuwgsTR4wikCJ064p2qng2FsIDrs9Tae2KFilgT5t1/Idm0kGSp80mWJOan+P0qLHjLYr+CipLPFJ1+jOfGYwtgwTMAETGCGwPHmQ0655daHAX7vtnhqud9Szn+rTcWZ8hwsBv9fWqIOCbSkwUk8bFZKzNFjq2i7HmXywSb+DKTGKP658Ap9d5sl6mIAJvE8Cy5MHgiOvIc52E/ihJO1GnsZXvi9fsTwIkFcnOiRYBMoZScsKJlGm+UQaPjcBEzCBfQgsTx4wVX+Gme4+6Mlb/yYEwaK3KEm5Ohj36ut+JmACJmACJvBUApckD8BhmzzuPqRb7SOJA/JJQJSMPHUyrLcJmIAJmIAJPIHAZclD+ut1/XUAAT/9MV8ruFR2a3+3NwETMAETMAETqCdwWfKASry+mL07wOsKdjX8uqJ+0t3SBEzABEzABEYIXJo8oCivLnJ/a99rBPLi65BeOe5nAiZgAiZgAiZQR+Dy5AG1CPYjf1Uh0/gBphMH0fDRBEzABEzABK4hcEvycI1pHsUETMAETMAETGAFAScPK6hapgmYgAmYgAm8MAEnDy88uTbNBEzABEzABFYQcPKwgqplmoAJmIAJmMALE3Dy8MKTa9NMwARMwARMYAUBJw8rqFqmCZiACZiACbwwAScPLzy5Ns0ETMAETMAEVhBw8rCCqmWagAmYgAmYwAsTcPLwwpNr00zABEzABExgBQEnDyuoWqYJmIAJmIAJvDABJw8vPLk2zQRMwARMwARWEHDysIKqZZqACZiACZjACxNw8vDCk2vTTMAETMAETGAFAScPK6hapgmYgAmYgAm8MIFbkgf/L7lfeEXZNBMwARMwgZcncHnyQOLw22+/dYP9/Pnz26dPn96+f//+Uwby+LiYgAmYgAmYgAlcQ+DS5OHLly9vv/7669uPHz+6rfvll1/ePnz48PbXX3/9lIGsjx8/vv3xxx/dMt3RBEzABEzABEygnsBlyQM7BQT9b9++1WuXtJQMdh5iUf2I7Chv5/OvX7/+3LmBATs4fHcxARMwARMwgSsJXJY8sDsw+nqBQEkC8ueff/6LEa8zRnc1/iV0owrtsLDzAgcSJY58h62LCZiACZiACVxF4JLkgdcV8VVDr3FKEHL9Ca4E0ld9fcFOAwz1Ww8xUELF0cUETMAETMAEriCwPHlQUB/ddQDG2W8bSBxIIBjzCYWAX5PsYA+JQ26H4ehajgG/FSEReQqjnA2uMwETMAETuJfA8uShZteBIEpASxMMXk9QjwwKAfQo6BEYaVMTkO/F/vbzlUPtaxZeUWAXLHKFa3xqC5xziUhtf7czARMwARN43wTqI04nJwJkKeghklcRBHs+BEBtv5M4KCiqTn9hcaQKPyJk92HnomQgfQVR0lm7C7DMFXHKXSvVkTzA3sUETMAETMAEWgksTR6UACj455SLOwkEQZ6KSRJIAAhuBNrYJicj1tWMGdtffY4tJAGtuyMkYDG5Qm9kKeniWkt5T3+h0sLFbU3ABEzABM4JtEWcc3n/aEEiQFCrDf4ESJ6I+ehVxT8EVn5hzJF/iKpymK5mBPue32XAUAkEfMSKxAx7W5MHlGd+SrsZXca5kwmYgAmYwLsgsDR5IEgS6GqLnqIJaiOFxKElaRkZq6UvCQBMWncd4hjsGLAbo1ce2kEgmWgt+o3I0c5Qq0y3NwETMAETeH0Cy5IHvT5oCZRKHgiOI0U/0twtKMq+2p2YGgbaeWjhHOWSaHn3IRLxuQmYgAmYwBmBZckDv1fg6b82ESAIsktBn95AKGP1ND66gyF5s47sOsx+naJXGTU/Js3ZoSRvt0Qrp6vrTMAETMAE9iCwLHlQIlBjJoGLwErQ5ym4Zws+HYckBJm7FO0QzAzSkjmabK1Ianbhbj1MwARMwATmE1iSPLAtT/A++70Drxf05KygGn9kSTLBk3FPkdzeJ/KeMY/6zP4dhl7NzNhdma3bEQdfMwETMAETeD6BJckDrypIHs626LU7Ef+9AfXlGglA7+8D9NqkN/mYPbU1yVTNmDBhpwA+s2xTIqIErkYPtzEBEzABE3i/BJYkD/ph4Nl2OokCuwtpoa72txJpX31XQDzTQe1XHpUQxSSpdzzY9CZUpTGl34xdjNIYrjcBEzABE3gdAkuSB716mPVk3INbAZEn9buLkikSml0LOyP+q4tdZ8d6mYAJmMBeBJYkD/q9wejuwQgqntBnvSoY0YO++k3BnTzObCBxgJeLCZiACZiACZwRWBIteCdPILr7x4rosENA1G87Zr9uOJvclus7JHwt+rqtCZiACZjAfQSWJA+7BG3rUb+w9Kpp592Remvc0gRMwARMYCWBl04etAOS+1HmSqip7F2SmFSv+F2/y9jhB6ZRL5+bgAmYgAnsR2B68qAfKu7wumCHrXj99mKHH24eLT8nD0d0fM0ETMAETCASWJY87BAsW5KHmPRop+DsWPOULrk78IgTn547eUiJ+LsJmIAJmECJgJOHEplJ9U4eJoG0GBMwARMwgW0IOHlYPBVOHhYDtngTMAETMIHLCTh5WIzcycNiwBZvAiZgAiZwOQEnD/9FriB/9juHeN2/ebh8vXpAEzABEzCBDQg4eVg8CUpK/IPJxaAt3gRMwARM4DIC05MH/WkiT+h3l5a/tlilq3g4eVhF2HJNwARMwASuJrAkwmtrf4UxLX9SKD38j0Sdz0QL13NpbmECJmACJvDKBB6XPGg3oeb/2Knk4e4J3EWPIw7+56mP6PiaCZiACZhAJLAkedD/oXHF/xiLQFz7v47eJWgr4bnyf4zFWPzz3LWvS6Qjv9FwMQETMAETMIEjAkuSh1WBSL8f+PLly5FNP6/t9EPFO/6X3BqzNnlQwncK1g1MwARMwATePYElyYO2wL9+/ToVMPLYTah5glfyQBC9u+j3BDVJzwxdeaWjZKA2eWjZ0Zmho2WYgAmYgAk8l8CS5EHBkuPMQlLCp6as0qFm7LSNEpnPnz+nl6Z/1+sKjVmTPKhtLdvpSlugCZiACZjAowgsSR4UjM6e+gl02qXg/Xz6VxH6zcLHjx9/QkVe2qZEW3JrflhZkjGzHltkx0y5qSzsFnfGrEke2BGh7eydolQ3fzcBEzABE3gNAkuSB5ICgtHZDxt5EidgKdlIn3wJ/MjpeWInaNJ3xY82e6aegI4+Na9ceuTTB44kYbKZ8WqShyt067XJ/UzABEzABPYjsCR5wEyesluCJYlGmmwoeVAwbMHH2Km8lv6z2+r3Gque7klKsDf+rqI2eSDh0G7FbLstzwRMwARM4PUILEse2C0geNW+Nsg9/bITke5G1ExBaSejpu/KNiuDNLzT1yI1yYMStFVJzUqelm0CJmACJnAPgWXJg4JS7SsHvXcn8FPYbSD49ew66MeStYnLVeilV+7Vha5hc+1HrJQs6bvsickDyVl6nXbU77RDI919NAETMAET2JfAsuQBk3nSTp+GSygUALXtTlAjoPYU/d4hF6R75M3qgz4w6bWrpId2bc6SjjR5UILmXYcSWdebgAmYgAnkCCxNHnjlQECr3T2gLTsV7BjwNNwT/OmDHALqjoXEgQSix7ZWe+Bw9INJ5se7Dq1U3d4ETMAETGBp8pDuJpzhZpeCYEZw7X3loB8m9vY/03H0OkkDNs7efcjpdZQ86F/rTHcjcnJcZwImYAImYAKRwNLkgYEIlLWvLrRT0fMjSRn1hHf4Sqpq/80K2dZy1A5MaWeBOan9PUrLuG5rAiZgAibw+gSWJw/aCah5daHA37ulr3f4VzzVjy4NuBDYe209Gp+khN0bdh74pAkEyVltQnc0jq+ZgAmYgAm8TwLLkweCI4HsbDeBH0rSbuRp/MrfE8xYLiQQVyc6JFj8DmJF0jKDiWWYgAmYgAnsT2B58gAC/RlmuvugJ2+2z3lCJpj2FiUpVwfjXn3dzwRMwARMwASeSuCS5AE4bJPH3Qe999fW+kjigHwSECUjT50M620CJmACJmACTyBwWfKQ/rqfv4bQ+/jRv4xIZT8BvHU0ARMwARMwgacSuCx5ABCvL2bvDvC6gl0Nv6546hK03iZgAiZgAk8jcGnyABxeXcz8B5yQF1+HPG0CrK8JmIAJmIAJPI3A5ckDgAj2I39VIcj8ANOJg2j4aAImYAImYALXELglebjGNI9iAiZgAiZgAiawgoCThxVULdMETMAETMAEXpiAk4cXnlybZgImYAImYAIrCDh5WEHVMk3ABEzABEzghQk4eXjhybVpJmACJmACJrCCwIf/9//+35s/ZuA14DXgNeA14DXgNVC7Bj783//7f99e6fN//s//efPHDLwGvAa8BvZcA68Ub96zLf8fdf8pJmtSm+kAAAAASUVORK5CYII=[/img][br]Jadi, bayangan titik C adalah [i]C'(9,[/i] [i]–[/i][i]4)[/i]
Gunakan [b]Applet Rotasi Garis[/b] di atas untuk memahami konsep [b]Rotasi Garis[/b] dan membantumu menyelesaikan latihan soal di bawah ini.
Rotasi Garis dengan Titik Pusat P(a,b) pada sudut α dapat diselesaikan dengan menggunakan rumus berikut:[br][img]data:image/png;base64,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[/img]
[b]Contoh 7a:[/b][br][br]Jika garis 2y = 3x – 6 dirotasi dengan pusat Z (1, – 1) dan sudut 90[sup]o[/sup] berlawanan arah jarum jam maka tentukanlah bayangan garis tersebut! [br][br]Alternatif Penyelesaian: [br][br]Misalkan titik H (x, y) memenuhi persamaan 2y = 3x – 6 sehingga,[br][img]data:image/png;base64,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[/img][br][br][br]Selanjutnya substitusi pers. (1) dan (2) ke dalam persamaan 2y = 3x – 6. Sehingga diperoleh: [br][br]2y = 3x – 6[br][br]2y’ = 3(–x’+ 2) – 6[br][br]2y’ = –3x’+ 6 – 6 [br][br]2y = –3x atau y = –3/2 x [br][br]Jadi bayangan garis 2y = 3x adalah y = –3/2 x[br][br][br][br][b]Contoh 7b:[/b][br][br]Jika garis y = 7x + 14 dirotasi dengan pusat M (8, 2) dan sudut 180[sup]o[/sup] berlawanan arah jarum jam maka tentukanlah bayangan garis tersebut! [br][br]Alternatif Penyelesaian: [br][br]Misalkan titik W (x, y) memenuhi persamaan y = 7x + 14 sehingga,[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbEAAAIACAYAAAAMrlL8AAAgAElEQVR4Ae29Pc5cO/PdqwE4sBJHhmFAU1Dg8GYawhmCcVKHguHUUOTQAhw60AgUO9AEBDg0BAPXwD8ScAdgGH3x0+v1vnVK3Nzc3OT+6F4E+uxufhSrVhVrkew+et48XIyAETACRsAI3BSBNzfV22obASNgBIyAEXiYxBwERsAIGAEjcFsETGK3dZ0VNwJGwAgYAZOYY8AIGAEjYARui4BJ7CDXffny5fHhw4e/vD5+/Pj48ePHQRp4GiNgBIzA8yFgEjvIp5DVu3fvHu/fv398+/bt8fXr11/v3759+/j58+dBWngaI2AEjMBzIWASO9CfkNinT5/+PiNk9ubNm1+k9vdKvzECRsAIGIFmBExizVDt68hJDMLiBKbCe+q+f/+uKj+NgBEwAkZgAwImsQ1g7enKd2IQlq4OeXK1yPdkLkbACBgBI9CHgEmsD7fNo/78889fJKYfd/BdGFeLIrXNAl9gANetf/zxxy+ijyfYFzDdJhoBI9CIgEmsEai93XTqIjHzq0RILP8yEYLjtMbr1YuuXznB6hQLdhTj9OrRYfuNwD8QcLb8BxbT3nHagpg+f/789zn4DJnFQnKOP/yIba/2HhzAQ4UTWcRLP4pRu59GwAi8JgImsQP8nk8STEmC5teKsZRIjB99kLBLP/5QWz7RkeyZc0RBzhnXnpnE8meT2AjvWoYRuD8CJrHJPoRouDrk5MWVogqnMuoikZVIjLrcDxlK4rRFwuLEkgmPkyD9edUKZEifPJ7P6LFWGF/6jm9JruSV5sykBTFjmwpjsN3FCBiB10bAWWCy/yOBRHKI9VKhRGIka8gvJ2z6QoD8YEQFMoufqecHEZCo+vM+6qGxyFI/5opXd/RBbiRLjeMJSemHK+gbC2QkuTyxRUTHOOaljraoO3PRpr70idexJrGIst8bgddFwCR2Id+XSAwSIKFDLCII6iAZ6iKxcFJRH5mFzEhIkAHjc6GfCIN2PseC3HgSim2QD8QYdVQ7dfplIfJjH8aJuCA02kSw9EVXkRzvpR+yTWJC2E8j8NoImMQu5P8SiVFHYieZQ1i8J6EriZP8VeLJRXUQmPpDJvSJY9QvPiGWTHQQCGNrJRKU+jE38tCXkxSfVbK9tMXTFv0YJ2LTONUzn4sRMAKvjYCzwIX8n5M6qnHNRuEUBLGQ6Enqeh/VLyV1Xdkhm7E844kmjuc9cnU6ym0l+bFPicREnMwLCcZTYbY3f46y83uReK73ZyNgBF4LAZPYhfydkziJWld4kAskwZNC30gI1JVOYvSLV44QmWRAhvFUBnmpbz795JMYumUyzCRGOySsOfgc+2R76aurxzW3mMTWEHK7EXgNBExiF/JzTOokfAiMF+9J7hAQRQkc0qFNhb60xYJMXtQjA6IQUcX5dAKjH698dUidCBX5kYwgPGSKZOlLQTfmg2yp0y8yRWp8FnHpfbQn2pHfI4/5XIyAEXhtBG6TBUiSJHElyLPchh4lshihTyQViEEElE9FkILa4rzolq8CIQX1R2/6qICnZEtefKofz3hKEzmpXfJLY5HPWNp4Zv9BnmqTLpJbe55BYpoTfWtlb6xCzjMJOtsxM6ZrOLnNCIxA4PIkRsIkaZBwtYMfYfgeGSQBTiqZMPbIZCx26qqvVxYyWsgAXCOh1eZDXkzc2N8yR03m3jYl4r1ytozHN5ALpF0qI2JVdunUXZpnb13JjlkxvVdXjzcCawjsJjGSGVdC2j3yPhcSYGlnqTF6spByYTHzIkFcqaDPaCIbQWLoRZJqJag1TJGDvKvhr2S/pP+MuFQcL22mRsSqCGaU/0r4LNkxI6ZL87vOCIxEYDeJoQwLDiIq/bBAyaZEYiQaEVhp0bKgIcWlpDESiB5Zsq31xwhrc4wgsbU5nqVd2NfsGR2XxGL8XjDOPSpWkV/aCMa59r6v2SFcR8X0Xl093gisITCExBT4JOFcqGPRlEiMnR/1JIBcaGPc6Cu7PM/ez+y+848gemVqh1zCqlfmM45rxWlkXLKRwi+l5D4yVomlpevKEb6s2SH5I2NaMv00ArMQmEpiLBiIiEVZSszavZIEctEv2UhEVy7S8+zviK6M0Vm6LZFYT1xyqlvarCgG9saqCIbnrFKzQ3PKHse0EPHzyggMITEtvnwS4xQFUfHKJKbda+kaEcC4VsljIpCMRz598jWmSLN1R8ti1e4+f/+mRMg8JXm6Ei2dJqO+fr8fAXxeOgktSR4ZlyR2XqWyFqsxvuJ1JPYo7rCLfrG9NFeui+uADSMyYiFueRHXlJodGueYFhJ+3gGBISSGoSyUSGIkEBYVi6xEYhCQFlYJKMbW2iEUCEYkowSjudCnNeGhNwtXYzOxihSX5GXbS/a4bj8CxBJxkf1Tk5x9szcuS3OtxSrExLyKLxGNCAwdsa2nEJvgoXWQr9+JWeSXNmC1+TJutb5uMwJnIjCNxHQKwzgtXhmqHTILb6lsWUQkERIF8ni/RDZLc6leeuVEQAJYukpiLLrW2iXfz/0IKFm3ElmOo71xWbIgz1HqQ51OOGy4WBNs0kRoS2O21BODOQ5FYsT2luKY3oKW+56JwBQSExlo4WQSYwe6dm3SmhgAD1ksXgisRowtQJd21ciuJU105eVyDAKQAHjXfCJNYhyNiEvJjc84R6wvvVd88ew9fZXkUsc6QJcoF9LOm7Kl8bEeObxcjMDVERgWpXEh54UTSUw7aRHcEkBR3lIf1Uu+rhRV3/NUItBYEmXe3apNz7UFH6+N1NfPvyXJvThsiaMRcSmfxyc24OOWolgYeQLTvCJ3beQyaatfy1N+aenrPkbgTASGk1hp4YhkMJRFzOe1siUxkJzo33uNGHWRriQZdrQQmJJC7BffM/ca0cX+fr8PASXrLSexUXFZ0rw1VoknrhDpH09LJZk9ddogajPHhqxlrZXmckyXUHHdFREYRmIsTggq73YxWsRA0mm9RtG1yxpozKfT09Yvr0uylQggROQhe620JrE1OW5fR0DfK7UQGNJGx2VJw5ZYFYEpVkdsuEq6EIvELfLZWPWSpWO6hK7rrojAMBKDwFg0BH++4hGJ0d6afHTtUgMNAtNCJVnx2ltY9NiALJJTtiXLF+mNINAs25//igC+wSetMcTo0XH5V43+9mktViOBKb5mxQtxy5oAp16idEyXvOy6qyIwlMRI/hBLLiKxLSSjK6PSQmQO5uKl7xZICnyGdEhyOdHR1nKqQneRcZaR7eKz9JQepT6uG4MABFCKh5p0EcyouCzNpRgo6aZY0maL8SIa3qPX2kYJGyCllqK1UbK3ZTx9ZI9juhUx9zsTgeEkVlqQIjF2eK1Fu+7SYiztNJmXhQ5ZlXa51JMM1grzIr+V8GJCWpPt9uMREImNisuSBUuxypzEHTESCQGyo771VCkbSnPnOuI2EmZub/nsmG5ByX2ugsAwEpthkMivlIC2zKdkwg5zrZAEWMQkprWia5fSDnxtrNufC4FRsVpCpXVTRXxDjJEwS/JqdY7pGjpuuyIClyYxAINQWkllCWASzJIMFq2udHRt05IElnbfSzq4/vkRGBGrGSXis0ZMOnXpOr3lCjzPoc+OaSHh550QuDyJsbAgFxJEC7lk8DWeZ6loB63rnZY5lFhKV52lOVz3Gggo1npjtYQSNwNLMalTE7HLaw+BOaZL6LvuDghcnsQEIguU5MBiG1m0g4Uol5JFnA89SCyj9Yhz+P29EZgVqxkVfbfGaWzPlbZjOiPrz3dC4DYkdidQrasRMAJGwAgcg4BJ7BicPYsRMAJGwAhMQMAkNgFUizQCRsAIGIFjEDCJHYOzZzECRsAIGIEJCJjEJoBqkUbACBgBI3AMAiaxY3D2LEbACBgBIzABAZPYBFAt0ggYASNgBI5BwCR2DM6exQgYASNgBCYgYBKbAKpFGgEjYASMwDEImMSOwdmzGAEjYASMwAQETGITQLVII2AEjIAROAYBk9gxOHsWI2AEjIARmICASWwCqBZpBIyAETACxyBgEjsGZ89iBIyAETACExAwiU0A1SKNgBEwAkbgGARMYsfg7FmMgBEwAkZgAgKHkRh/Bbnlj06u2fjjx4+H/6LyGkpuNwJGwAi8BgKHkBikw19D7i389eX4l5eRZyLrRdPjjIARMALPg8B0Evv8+fODP5/+8+fPbtTevn37ePPmzYNTGAVZ79+/f3z69KlbpgcaASNgBIzA/RGYSmJcH0I+375960ZKMjiJxaL6PbKjPL83AkbACByFwNevX3/dJpHXeHGzRN0zlaNsnEpinJb2Xvt9+fLlFxGWHMw1495T3jMFjW0xAkbg2ghwiwRpcbvETRKbcHIbX7ew4d+bL69g/dE2TiMxrhHjFWAvuCKq0njAUjCU2l1nBIyAEbgSAhAXeZH8mAvkRltpw577Xvnz0TZOITGRy4hdxdp3XwAGkTGny70RwIecvPEpT5f7IsD31yRqfHnklb/i56rIiahKmCj586SAIf3vkNsi7kfbOIXEWk5hGI2xmejYhVCvnQo7k5oTcTR95PirBq/1qiOAj9mw4Ht8ycZkzy9a67O5dSYCfF+N/1jb3KQsnTxG60BOyV8vEFfEU8wpmlf1JUJRn9FPXRuWTlvCKraBIeviyiXjfrSNU0iMQCJolgrOIoB4EeCAQMF5fI51+kXikizqAY1F43JfBIgF4kZFsRAXtNr8vDYCrP24OVVyrm1G91oEEZE3INBY0IX8osSqfCKdGKO6OG7We+kJMUU8RPylvElf9L1ikT0Rd9UdZeNwElPyETGVgI/OI4gIeAIJIsJZgBD7lGTEupY5Y/+z32+x7WhdOQHXfIc+4I3PWHBKWDWywZ8kEfXlcy600ScWYgNye8ZCnGPzrEKMMUdMLnku+ijBowuvtTH0j31LBIDfdJPCnEpq2e+lsVnHls/YwQaoFCtaa9IB/YlVcg06Zp1a5tvbhznRFx2EpfJgSTY+pP0MXUv6qK6G+5E2DicxkhuAK3hk8NITJ8LYvGLgL/VfqmfOnASX+p5VTzASvGskcYZ++Eu71VIyQCf64C8WH30IVBKCxsXdt2wgKeIbJQz1zRjQJ89bqpPcuz/BEftmFOKM9YT8pcSnWFQ80g+faFz2D3rShu/xOS99RpYKcvK8pTrNX5pHslqfxA16reUc9CL+6Bt1bp1nVD/0RZe4hmq4My9rC19dqdRwP9LG4auIAMEhrUXGlhJgqwz6KTmuBfIWmSP7smjAZsSiHakXsrQzRT8trtIc8lVps6GkjCwVJS/GqeAf5uEVfVWat1QnOXd/Eg/gM7qAtfwIfktzyF85mcs/jI3+ke+jPPkXWSqqK/WLdfQfsSakb4wx6ZKfsnnLGtSJmbGtrzxv/MzcYJvXEHZAUrSVTqjU0bZF9zjv6Pc13I+2cSiJkcAAuiWgBGppcahty5OguJKTo+4EIIllCy5x/Mz34MbiREcloCU9lQRyMkI/+TGO1ak8L0qdzuKCZOOD/Fi2xlIc+4rv2ciBLQlG/ij5CmzAlleplPxMgi2dBHSCkI+ZO/tNcVXSBSKjf4yFkk5LdbKTedeK7FrrF9u12UD31lccn99LB+EV22VLXEOxHf+WfBD7HPVeupZwP9rGchR3IqHkVArWkkgCV4tgyXGlcaU6LYa9J7qS7L11pQQdZYIDAYrzeYFFDnIwxTb1gXxKAUS/uHtkTN71xbmjDMbmBBT76rQbT1tql+9jm04E6qMn9jJP9BXv6S99pAt+vVvBBjDPPpUt8iFP1WFjrMf/0efgI2yW8IjtSjLIKBX5Jo5RP61JtWltoV8u6JVJiEQb+6IL8y0VteeYX+of65ELzmsFPWXXEiZrMka0gwt4CdsoUz7jWSo6JPQSfklmb10N96NtHEpiCpIWYHAEQLBActC3jC/1IThqi6U0ZnadEvbSwsHh6Ew/+gjDGMhKFNTRR8FO37gYFOQsavoJY3BpKYyhb5w7jlN7nhcfYkNMXIxDFn1zkZzYnwQmGcxPTGD3HQs2R5+K/IUrPsM+8AELlVgPCbIxoF3+jnhpzNJTY6L82FftGWPFq3RljPyFPrlITuyvOEQ2Y4RFHqvPsruFjDSGp3TlWSvogU9ExlHX2rgZbYqFuNnTPOhJTJTa1Acst+KksaOea7gfbWNbdmuwnkBcSlpxOIuTxUhfBZ+chwwCrebEKCu/l9yeHV2WNepzjaCVAKK96A42Wmi0xc/SS2PBTkX26zNPBVysW3qvZKW5S/3og00iHM0Z9WCcZNGey1Ib/ic+mD9iksdf+bNsyxiCWawTbvSPRfWxL+0kYeKgtTCe/ll+HA/W+FExqjm0LtVXsrJOtC+1Ece08WJNrxXJaekrWUqWxE2pEJPaUEgutlJHwc6jc4XiAx2i3uiHL6RbyR7q1mxeGjeyfk2Ho21sXxUrKEhxDKwVnMTiirs6jaWNRRydW5OV25CJ7KskQBFITgrSm6DllQt4aHEpYLQI1ReMsJVFqaK+JKdYkNdS5AcSylJRsuFJf7CWT6OdkrWFxJbmvFM9fsIvYCIfoj/v42eRVfbN1volbOSnLF/9iR/ihfjDb/TjqZiM8SZZPHOpteW+tc+K57wZqo0RzqU+kif71Ef6gvOWuTR+xJM1w7pFf/TQ+kEf9K4V1jbj4lqr9Z/RVsNd8x1p4zASU3CUAl2G8WSxxAWiNuqWFpz6rD3l4DUd1uSMaheplAJTyY4grhUWIUFTKtTHNmSqP4sEPEpzl2RRB/7IW8KPhUN7Jknm0KJUopaskn21tiXdZtej55ZX3IRl3UhG8g3vS3HNXPTJbVvr89z6rPWY5atdOua1qLiMmyPJKsVFrU1ztT5r6yXLUAwt+YGYpI/iMY6nPtsd2496jw7owqu10Je4wX9nFM2/hHvW6Qgby9kxa9LwWYvizFOQACYRnF1YRATbki6tuioZluwptTEviUWkwrN1wUqnUrJifiXYUmIoJbOSfsjRPGctxBKW6LTltYYpspSUwSEvemFJv1i21sex8b38keWrDzpFolI9z6wDMuhPfS6aZ8TJQJvQFlmaN2+osn7P+Lnmu9n2HoX7FhuHkVgO/NlgluSTWDCe4/nZBTJHF5xeKhAB7aXEEPuLjCCnXBjPa6koKSwlqzxOyWpJZ/m4pIuCO45d0l16vUICws+6LorJWVhmktlan32oz/JHlq924mZpnWQdFKul/iLqNVLXvLWn1m/L5kbzLtlXm+fubVpXZ9hxFO5bbFzOgBsR0jVWaZe+UdSu7muJfZfwDYPZeaNLbZHJUSVS0FQ64cYESJsWPEGlQvLJspSQ1Kf2RFd0jkQU+yuAS6dt6RnbVJd1V/3ZsRJtG/UeWzM5l3CVX3J8bK1f0nuNxLRec7wgrxSXqss+o57XqEL8tcjTxqCk/yhdripnKUaO0Pco3LfYOIzErkIeV9FDTsiLPgaaEk2+aqJe40RWLGwtWJ6SH3fA2A5BqNCPcaUdtPrEp06PUUZsVzJGnnShHR1IinkebFC9+suebHOc587v8R02R7/o5BkJXv6bRWLaROUNhLBV7GVf0584yv4pxUbJLsnvfSpJro2/yjpf03NGuzaBOXZa5pLfW/qW+hyF+xYbn47ESCAAHZNIyRmz66TH2jxKNpANiY0ngRYLCYR6ZKoPn3MQU4ftPOlHf97XsIBomI+gkc7I4NRFfZ5DutCHOZR0GC+iyrojV7ozLifI2P/u70UCGZ9os5I/ffCPNixL9Uo8uX/GCl/RVydm+oM7vqFe82gcddE36MJn6kuFeumA3+m7RJKl8S11xBRz5LjLY+nD6xWL/LDkpxomGlvrU2s7Cnfp2WLjkCgg4I4yrgYwba2LYE3O3vYteJD8wXBt4UJG9KmRUpSVk1bJpthfOsTnkgzpsqaz5pTMEtGpzzM9a/jENnARJlvrM174SjiXnponj1Nf5l8rMV7W+va0a1OHTksFPVlfrPVXLFsSfMZHY3N9y+cjcZeeh5PYFYJqC4mxUEQ2rc8WUFnor7zIWhaE+xiBEgJKXpxKl4rW7RXyzZKOM+uFUUsuynpobK5v+Xwk7tKzxcahJ7ErBNUWEmtxXE+fI53do5/HGIGrItCSvF59fbVgtORfjV1qr9Ufibv05LlWTGJrCHW0H+nsDvU8xAhcFoGW5PXq66sFoyUHa+xSe63+SNylJ8+1YhJbQ6ij/Uhnd6jnIUbgsgi0JK9XX18tGOHg1q9I1G/tJu1I3Ftt/GXniGg+0rg1fbdcJ0pvObHl2bIzkNy1oFizxe1G4NUQaEler76+WjBaihuNXWqv1R+Ju/TkuVZ8EltDqLMdQjSJdYLnYS+LgJKXf9ixHALCqCXBZykam+tbPj81iemnlyTus8uWk9hMXXWqmzmHZRuBZ0PAP7Ff96iI6GgSU54/YnO+xcZhrDMzaW8y6P/+T5AAfmbhfxy9AqmficGWuUle/M+zYMYiWfr/07bIdN9zEeB/hNY64MlOfq20bkJn5ps1Hc9u35IPs64am+tbPx+Fu/TkuVZuQWIK7PjP9iwZdhTIS/OrXjo7GQuR5SeBSpIDK/4fO/41CF4u90VAV08iLv2LMGvrQf8CzJrlV1nna3rOaAdL7Be2W+YQOWwZE/sehfsWG4eRmHZca0EaAWl9D3DIbylHgbymi4KlJ9BKsjlZjpJVkk9d6+kVPfRakqX6ln/hIf9TR/qnm1r10Vx+/o6ANga/t/y1RvGFX/HZWlH/pfXOP33FRk6FfqzN2ndd9KVPywZGm8QWXaXDVZ5gwc2DbFB+azl1YIPG4autRXlp6zj119xruKMbRKRNifzachBhLs3TYuMwEtsyqQBpebJYWoIfWRhMX3Q5u+AsdGkNzDV9he9av952fRexNJ6g1ZUfgYk+kA8v6ksF22mnL5sQ3ud/a0/JLQa3/NgSwKV5Xfc3BMAazGs4Qir4hpf8RNxCQqVExXpUP55ab7kv8nJcrK0H+Z3kt1b070PWbFuTcUa78ln0C2tAyT5jVtIRbMHyjNKCOzGFftiEbRT8hM3Ux7W+ZMMWG4choeNfTlJLSrbWa1eeF0lpvBYBQJ9d0BeHsdBHFIJ7lKyoD4tKC6i2MJSwcgDK73nxKZBjPEhGTDzy2Vpd1Nnv6wgQe0o2+DRiG0dqV559pzVHXMSCXJIL9VqP8l+OTebNG7hSXZSvmMkxFvvovXRnzJ2K8IrrAv21mautQdlJH/xwRmnBXX1EYNJTcZVjRe3xucXGYSQmxXmOLCTJlp0Zc87SodceJRIt+F45s8aBF4uBRFDb+Wj3WAo+bCPg2GXFwuecBLWA4yZDsuOiVj+eLtsQgADwJb4tbRqiNO2MY53ea2ODf1SWSEbzxL7IzuuWOKnlB+QwrmW9KEYyAUvXOz7Bh1etyO6MbW3MyDbN34O7xpbySNRR/VptrCMWJa+818QxQZWGEKAop8QXA5/+cqQSIPJyn5Jc6iS3ZSe3JGNkPXpgT0zQNflgyCvbq3qeWuA8Y73kMjb2U33pSUKRPCWiUj/kYcdS8MmXGiu7SwlL/lVfntTFRaHxeScXx1z9vfwAdktFfbK/c//o6zVMIBr1AX+wXdKh5AvNrXiIuonY1EdPzRP9zXitYfphA/MtrQW1tyYuZCIvziF99ER32UE/xTrtimlkxNjT2KOf+GzNHnTSRmIJxyP0btGzpAc6t+C91cZhJKYgXDvmEjAYoyDKQasE1hNYClgt4hKQR9eBB3rVCrYqMJQo+KwEonbqlJCwUSc9xmjBCgN2tBpfm1ttGqfP8YlvkVfaJcuP0V9KagRjLppHdtBODCAbm5iLPrzuWLALn8vv+IxXTDrEeO7D5+wvYcF48KAP78GqpcgPEes4ruQL2uXvTBBLcysGos+UsLCVQnyU4kf6SNeMgdpLT8U/+pYK+iBPsqMP6K91JR1LMo6q0wZ8yVfSY81m9Zv57NWB+K3FgHTeKn8YiaGAEvBSUElJPbWQ9ZmnSKyHiFhkyLxS0WJeCk61x4SvnUgcs5RwlFhYkMJdSYVgaC2Sv9QfPQlAfIyPmEN1zKO5GV9bkJon2sZYjcGeLG9Jp6vVkzDRH1tU5EsSKUW+iX0YB7a8YtwLk5jYtcAlv/ZU8o5Yx/7IVWLBl/TDt/iYV5wXvbAN/+Uim3Ib82MT47K8KAP/029LvDJea4dnrUj3iDn9WTNXyBfKeWt2oHMPTjVsetpacY+ytYmJMRXb4/utNg4lsa07Gy3InABzsEUDl95rIfWMXZI5qp7FnRe4ZCvREMixgE10OONJBjkhUccrYogc6rYsUMmPOuT3SsgkJPoTbLyy7pKVdUVerS3Pd7fPsi0SkWxWggK7kr8UBzxVJC/6FtnUtxTJLPlB42nDh8QKcnmiX9SDvvSjvjR3rU3z1J7MhQ4Zt9oYtTGuhfzoB/axYKv8EuuPfM8aRzdy51rZQnZrsva2t+LOPCK9nCdKOvTYOJTEpECLQzBASVGLTDumnmDWgm0BqgTezDrswek5MTCnEoDaY8KKOimhCSu1kVh45bJUn/vps+Trc35qgxIXPboqKUfcJSvrisxaW57zTp/BAsxzoow21PooDsBHRTHdm2w1vuQH5tB6zRs/PmNLXMcl/aRnrU19lp4kceaKcbXUt1QvG5fWjcZow6zPzAeua0XytZ5ankt457lEYBn/3E+fsaFFZ/Wf+RQua7iLwFr922Pj79lvp+Uk49pCjuIV/JAZBQMAp6coOa6B2iN7xBgFbMmZJBOCUwuE5JHtkH15gWhM1nGpPvfTZ8nX5/jU5iImWLWrLS4uJcGSrZon2yF5d30qlksYyaZan6U21gNrCn/y1FqRzNpTiWYJa8VcSYbatKEs+VnjlnRX+9KztiaWxuR61ok2gLktfhYWzMkY7FvCJY6b9R480buVwIR/aU3N0rEmtwV3bZJade61cTiJKYGhUOId1vMAACAASURBVEthcZK0lchz8m6RwRjkQIJXLiwgCH7JqWCgJJ83AqrPC2+JrJbql/CR/FK7ktTSBiPPpYRR6o9d9H+2IoxGkxg4Ed/EjIglnpBqOMoPOWY0Bj8s6at4iGOznyVHyarkb/XJT9YC9iythdy/9pl5IYRa7pB/0BX8zswV6Mk6aCUwbKcveF2p1HDv2aD02jg8myhYWneMOBPnEIQEWE9hIbDAesf3zLlnTFxs2hlGeSww7IkJpJRUGLOUWJbq4zzxveTHOr2XT5cWPnPhP5Vaf/pmgta4uz+xbS3RZKxks4ggJrbof/oRN8hHRktpIbHotyhT8UB8qpTqaNM8W9dfXAeao+cpXNBjqdBHsYfNrZvsJXl76iFR/JjtRyfqs9/xAbrn+j06jBhbw501XsoXyg15/j02tq2GPOPKZxzRmqhYtDgoLt4V8b81AxZz3rGQGPLiU1IoJZAcyGDHK5el+txPn5Wg9Dk+CVYWPq+88ErJl7H4Ax1if202Ruy+o35XeV/afKBbxEB9Mgaqj/4Fv/gZWfhpiXgyDoqjLEP95PPcjr7MndeU/JdPgvTLfTXHUU9sQOe4ZvLcismMfe4387OuzNB16RXjBV3IpRnzmTpukV3CXXGyZF+JG/bY+Hv222LBQl8Z0bLbEQFlxy2I/q1aQZGJ4LeOF61QIkF/AgLsSFLR0WCjBRjt1O6FYImJSIGV65cggIiYk/7IL/lCPkUv3jMHp23pmsdIB/ojX3bt2aws6X+VevwBHvgqYsRnrQWe9OGlPiQoYR9toS72wzfUtSQ0dAF7+rPGNH+UL32ZA1/iM3RiHHW055LjFdlLffPY2Z/RHaxzLDKv1hD6nlnkQ/yy9Ir6sV7wx5VLxl0xsmQf7bHstXEKiREwBPZawlISLC2WaGTtPUHBXKXArY27ShuJAxtwLC8WGbhEe0haaucpvGId71WW6tWuZ5a7No5EGMfgXwJ4qaAnfZCLXbW+SzLuVp8xyr7EHnxLvfAGI+IgF/DagjfjGSO5padiR3NlXUrxp756Rt3Rr0SQ6nv0E/tZT7lgF2QQ11Xuc7XP4IoP76DzEu5rmI6wcQqJoTiBDhPnANdOieCnHeN7C86FwEpB2yvT44yAEbg/AmwK2BwoSV7ltHh/ZK9nwTQSw1R2PgSSCoEVj5h7CAyZEKFIUXP4aQSMgBFgY6tcYwJ77niYSmJcXRBIuirRjwAgHt7vKVn2HlkeawSMwHMhoJseruPyFepzWWprppIY8HKtOPq0xDUipzxfIzqAjYARMAKvjcB0EgNerhT5YnVUQV68phwl13KMgBEwAkbgXggcQmJAAumMONbzRa0J7F5BZm2NgBEwArMQOIzEZhlguUbACBgBI/C6CJjEXtf3ttwIGAEjcHsETGK3d6ENMAJGwAi8LgImsdf1vS03AkbACNweAZPY7V1oA4yAETACr4uASex1fW/LjYARMAK3R8AkdnsX2gAjYASMwOsiYBJ7Xd/bciNgBIzA7REwid3ehTbACBgBI/C6CJjEXtf3ttwIGAEjcHsETGK3d6ENMAJGwAi8LgImsdf1vS03AkbACNweAZPY7V1oA4yAETACr4uASex1fW/LjYARMAK3R+AwEvOfYrl9rNgAI2AEjMDlEDiExCCwPX8Ukz81Hv/MOPL8N8UuF0tWyAgYASNwOALTSezz58+Pd+/ePX7+/Nlt3Nu3bx9v3rx58AcxKch6//7949OnT90yPdAIGAEjYATuj8BUEuMvOUM+375960ZKMjiJxaL6PbKjPL83AldEgI0bG0HiXy8+a0N3RZ236vQKNm7FxP3bEZhKYpyW9l77ffny5RcRfv369TeruGbce8r7TagrjMBFECD2uYWAvIh/NmwQGHW82MjdvbyCjXf30dX1n0ZiLLZ4BdgLhIiqNJ5rRRazrxVL6LjuzggotkubNMiMtcUm8c7lFWy8s3/uovsUElNw7j2FAeLad18QGETGnC5GYAsCnAKuugESUeVrdNkHifGicB1HvzusgYj5s9ooH/l5DAJTSKzlFEYws/Ay0XFtQj0yKCzU2uJkAdPnqsnoGDf+bRawqGF1pC55Lq6+SFroeIVC/OVTDvrxK1peUU90py7H6kw79J1v6bSFj4n52IZu8fNM3XplZ8yf0cZebDyuH4EpJEZyWNpBoipXhJAOLxYjwU2BwPgc62IyWTKTBMNp7JULGIIBifhKhURFLCgm8C2fzyRbnQDQTYXYI44UgyIs4g9c0Vt1GjP7CU5xLWg+9KA++xoSY21dsZQwR89nsvGKuL+CTsNJTElAxFQCMSYwJQclCxYhAR/7lGTEupY5Y/+z32+xbU1XZJF8wbGU2NbGz2xHN8iL5CqblcxIXltKy2amRZ50Kp3cpSO6oTcF3fmM3qN0aNGTPujDesCv0gO9INVIwJKnkw26XqmsYf4MNl4J71fTZTiJaZeohLAGKAmCBcpLV4hrY0rtLHSS+ZULSYYkVCP4LfpD3sgjIYPj1UhM18roGYt0LSXi2E/vR+IGVpBALT51Q0AsnxlT2K21AYaQk3SjvmQDOouAhd/Zzxrmz2Lj2Ri/8vzDSYwEwQJrLVqULL49RaeR0sLeI3fUWBYr2IwiMPSCJHQ6EI5X2oUTBxBrLtKVZ2sZgR+xgQ/W5gVDnX5a4wn9IOctr7VYgIx4ZR20OSitGeIB3ddkt+K+t98a5s9g416MPH4fAr9nmB3ydK23liTiFEpoe5OvFvZVFm+0kcTSkjzjmK3vR+G4dd5af5IpducikiDhbykQxZ4ELYwyKWQdpN+WOEYm47a8tAHJ8/NZOpSIinZw4FUqbOiuchqrYf4sNpZ84LrjECivgs75dbdNcLYUCEe79S0JoyRbCW5p0ZfGHFWHjVsT9lbdlCxasd8qf2t/nQhKdit5ldrW5sFOiLFGAEsyGLd2PUgc6XTQo9/S3FvrhRFrqlRqJKbN5BU2dDXMn8XGkn9cdxwCQ0lMhNSiPguMAFfSGJEwWNjIvFLBTvSaTS5XIzElqJJfa21rvuPEA8mskVGWIz/UEjuxSPzQh83Q0kkny57xWZsy1lQu2iCU2tQXO7ZipLGjnmuYP4ONo7CynH4EhpEYyYVFX1tYqMm1H4mNvkooShjIILDzDwFazZPcnl166xxb+5FwS4kcOdhKQt/yWpr/VUgM+2Ur+LUWEjoxR4zlAv74iMSvk7wSMLHIGOL26KJ41jrR/FovtXVSs1dyZj9bdLi7jbMxtPx1BIaRGImAJLG2+9NpLV6TaCxtBHUp0ayb8rf//wwdaou7Rc6oPkqEOQlJPhhg75aXxuanEjtYXqHotFD6bkb+xu6eQnzgZxFOiwz6L22wdA0eY485IDX0Z9wWwmzRp6UPOoiwtBmSTmsxfoXviGuYy/672yg7/DwPgWEkpiTKs1ZIYKWEoFNJbexamxbumg5rcka1t+xER80l/K9CYthFEuOVCwmY+j1+2oKtSDNunKJOS7EHETOWRHtmYX704NV6yyCbtxD9SBs1/xLmea472pht8OdzEPg9w3TqoR3j2g6xU3zTMC2c3h1+0ySNnViUJOqjdLkiiWE7GORNi3TdEyvasCydcqObNN8ZV4JRj6Pfg33pJHyEHkdhfqaNR+DoOdYRGEZiSlgQyVmFZElQL10bHanXiNPGFn2VNM7EP+ur69S8Gyex7k2u8nXLSUOntithk7Ga8RmMWQ9nlKMwP9PGM3D1nL8jMCzCuatnwbRed/yuypgadDhr4UYL9D3LEYmThA5xYzfJ42wfRBy0uYFkwQL9iJV8OotjWt9jbwsZCpuzrwVb7RrVT9gfEYNZ56MwP9PGbLM/n4PAMBK7CnlcRQ8trpmEwkmHeZZeI4hiRFhyjScdIfdRmChRrul4lZhY03N0u674e0kM3Nh89JSjMN9rY49tHnMtBJ6OxHQiPDuBS49rufu5tNFGYS1JH5VQr4aurpj3ENGeseA+u+y1cbZ+lj8fgSFRRhK5SqJoTWyzob0KHrPtPFN+y5Utmxl8QVy8Wtmb4MGth8SOxHyvja8WE89o71ASu0Ki2EJikXxFOmvPlkV99C8TnzEwW2xSAqv96lA+vkJsttg0so/waYnZ0ry9JHYk5nttLNntunsh8NIkNstVRy7iWTbcQW5LAntlX7TgU/OzSayGjtuugoBJbIInXjlxToBzUWRLkn5lX7Tgswju//2f1ZGxtRyJ+V4bt9rm/tdDwCQ2wSdHLuIJ6t9GZEsCe2VftOCDs9Vv7So9toPrUjkSc+nO0+U1EXhpEtNii4tz7X3LYpHcV/we5shl1JLAXtkXLfjU/MVaaIn3LONIzPfamHX35/sh8NIkNtNdJACT2EyE/3GC8A87yjjvTfAmsTKurr0WAkNITD+pJejPLlt+nThTV7C4Ah4zbTxbtn9iX/fAWSSmfHDEJm6vjXUE3XoHBIaxzsykvSVQpQcL6czif9NtPvqtGxbFxHyNrjXDlnVT0hzckNFTjsJ8r409tnnMtRC4BYkpWbX8q+dHLZ41N0rnEf/EEt8x8G8OIpN/ZofPz1b4f+s4WW3ZfPifnapHwd5/kukOJLbXxjqCbr0DAsNITCePEUk7A8diavmHXhl3FRLTDnEv4ejKjO99RGbY2PInSDKOV/0McYmQtuAFDoxbK9pQ3PEfAMbPbGC0vrCZzy1kL7u3YBqxZK7ek5jmXsOcdv3bmvqn2nhCTmtj0VXz9NoY7fX7eyIwjMRmBROLlcVU+/Je0BPI9EWXs8uIP8Uie2IiYWGzyHm1LPKzcVibH9uUvPBdazISNiS7tULS3yJ7Td5R7dI7JnTWAbaA2dqGUcR3lL5xHum+5k/5XuubmNbpqmWDcqaN0V6/Pw+BYSSmwBt9QkAei7YlYSuxsYDOLuiL3nsIVZjmZKXT2Wisj8YMP2ELWG09uSqZt1wxS7YS5dF29s5H7JRuIBQXcXNTmoP4K40v9R1d14o5OmJPLiKnNRI808assz+fg8AwElPQri2srWYS4KUgL8mZpUNprpY67UZbCLgkT7vU3CZib8Ulj7/K54iLfLeWtKQ7CR58ogy15ac2NxDmMxRhVVtrsvmsGNH8vZjjXwiqFg+a4ywbnyGWnsGGYSSmgFo7BZF0CDoClCSU7/ap56WrBOTlPkvAS27L7nxJxsh6XSn2npgiDlEvYb3nlBflXeG9EnMtaUlPYghstiSvJSwlk/m1acj+UkJFRgtpSuasZ0uc66SabZmlU0nuGualMarTSayG9xVslL5+nofAMBJTYlm7vmBnxsJSIs6JSIm/ZwenZJOv386D9/HrOqeHbIRPaWyt7Uxb98y9hcTUt3Vzg161UzExRxwSwxBZjmHFtjZWe+zcO5bYhhxKcRFl1+yN/Wa+79WB/ICN+LlWeuXXZLrtfggMIzFMZ5Fv2a2SLHLCEIn1EBFzZ3lnu0QLsuWEEXWtEVWtLcq403sR0xpOIhoS2JYiP/CsFZ1yYvyJxNbG1uSOamON8UKnWoGMt2JUk9fT1op5lA3u6J43t7GP3l/BRuni53kIDCUxTk8QCUTUUko7KYK3JYCzfCX2nrFZ1ujP7JrXds55TtlTGldry3Jmfsbfsq31uaRPK4nRj+QVSWZJZq5vSXq6oooxTDK+wuaI2G6xXRvBK5BuC+byE8Qsklbd0vNKNi7p6PpjEBhKYgqs1qtAJQztvklMkGBPglISjMnnGAjXZ9HuEh23FLDglYtI7GzC5joPXba8si36LP8pFlQfn8wHHr3JWXPUTjGaI/oKAmuZU/5qfZY2KNHe+F4E1nKFyubwCqSL/i2Y0y8SWM0/wuRKNkonP89B4PcMuVMPdl7splqKkjFkRiEwY/JokaE+JASSR8sC0JgjnyQfsGlJhtKLRFSySeQv3NT/zk8luyUS68Ev40Fs4IO1GANzYpECxlvIJs854jObQvRuITBtBLfE2Qgdl2S0Yq4TWMv6vZqNS7a7/hgEhpMYO0aSQOtpir4sUk5QJO2WIM7QMCYmntx+lc8kIRZra4IRlrm/6lsxvor9NT1qJAZuraeh2hy0MQ+EUIszSAs/gW8reazN29uO77foQGxc5RQmm9cwR2fwrvlEsnhe0caon98fi8BwEsunqzVzCF4WHQu19yqQhQ6J9Y5f03F0e+tiVRKNC5yELuIfrdeZ8tjIYFcmbOnUipn6Lz2RQ7zVTmPSBdx5f1aR/0snbvTPJ0TFxtJp9iw7apizZvE7usfCmNLNzFVtjLr7/bEIDCcx1CdJkABaik4VPHvLM9+Ps8gheF66Mj0zsfb6qDSOZEsyxn8kMl7YSSxQP+ukqY1WTpzSUZuiuHlQ25FPrQ1hk585Ds4m3Ro2S5iTK7Jd8XPemF7Zxpr9bpuHwBQSUxJoSUIioN6dNnMQ9LWd9Tz4jpNMEuDVi9NxmrbPhO9kV+k501ZilARamkPfOS6RXLuF+3rGZF56H2MewmvdOO7Tqn90xhyfl+yKdfRRuYON0tXP4xCYQmIkBu2oa6aQLOi3J1mwkJFRSka1ud1mBEiqkQhARNdVtN2lsBnglH6HNVDCvAXnO9nYYo/7jENgComhnnazBF8s2v3qe4c9yUJkmRNRnM/vjcAaAhAAcapNFTt+FyNgBO6BwDQSw3yuN2JCyNcHewgM+RChSPEecFvLKyIQr69ivF5RV+tkBIzAXxGYSmK6mtG9tn6JBPHkL2z/qtb6pyx7fYR7GIHfEeA0D4lxJe0T/e/4uMYIXB2BqSSG8VzRjD4tkXg45TnpXD28rJ8RMAJGYC4C00kM9bmi4VeIowryfO0zCk3LMQJGwAjcF4FDSAx4IJ09v0IUxHwBbwITGn4aASNgBF4bgcNI7LVhtvVGwAgYASMwAwGT2AxULdMIGAEjYAQOQcAkdgjMnsQIGAEjYARmIGASm4GqZRoBI2AEjMAhCJjEDoHZkxgBI2AEjMAMBExiM1C1TCNgBIyAETgEAZPYITB7EiNgBIyAEZiBgElsBqqWaQSMgBEwAocgYBI7BGZPYgSMgBEwAjMQMInNQNUyjYARMAJG4BAETGKHwOxJjIARMAJGYAYCJrEZqFqmETACRsAIHIKASewQmD2JETACRsAIzEDAJDYDVcs0AkbACBiBQxAwiR0CsycxAkbACBiBGQgcRmL+e2J/dd8oPP4q1Z+ugID/5t0VvGAdXgWBQ0iMhL3nLzt//Pjx8eHDh7//UU3k8bpr2YvHXe1+Jb3vHqOv5Cvbem8EppPY58+fH+/evXv8/PmzG6m3b98+3rx582CHS0HW+/fvH58+feqWedbAVjy+fPnyy8Zv376dpeol5gUHNkB3w+HOMXoJx1sJI9CIwFQS+/79+y/y2ZOAJIOTWCyq3yM7yjvifYvOJD9shaRF2kfodtYc+A+SwmZOLyV/UsdG6Cqn7xadwbPF32fh3jIv+usWBP/gJzYVezakLfO6jxHYgsBUEiMR7008LBpOYV+/fv3NLhbY3lPeb0InVrTgQR9er5Ao8B++5XQqYuAzPs8FPK5AZFt0xoa7xahwl53aWOAf1b1KfAoLP6+NwDQSIzHFK8BeGJQESuNJbFw13uFasQUP7MCeVzmBER/Rd/InGJRInETKmNKGphQfpTriiVdP0fxbdJZNcUzP3EeOkZ2l77GxAx/0YnikHZ7rNRCYQmJauHtPYbiAXV8tAdC2lPSu4sIWPFr6XMWeEXoQG6VNDsmR+tJpTPHAiay3cC3Gq6f06nyHGAVvrTOe+ECfI1YiOGHIhov3xK+LETgDgSkk1nLqYNEQ/Jno2GVTjwwKi6m2QFhESwvuDEBLc7bgoT4kiRkFueysecWTHt97UJf9MEOHKJONB37Lhbigfkkf4YTePYXY4tVTenW+eoyCebyWF8al0xbrE//ENnzFZtPFCJyBwO9ZZIAWLIhaomABsMvTjo9FRNECYZGoLibcJdVIwiSYq5Y1PNAbG0pJfYRN4Ip84SuCAFslZtWNmK9FBraWEl/e6WdZ+rFE6ZSQ+5Y+7yGxXp3R46oxKrzjpkC3AsRGrsdn1OeNJfWR2ErYu84IzEBgOIkpUYqESkrHBUBiIIEqobIQWFixT0lGrGuZM/Y/8n2rbiSGUlIfpavwJInrOo75+AzeLZuFUboocZY2OrU2zU/MlMaqvfZkXM/Yml61NunSGgfqf8STmCAWShsC4gGchDXvFaOKpaijNhdg4WIEjkRgOIlBSAR+KdBLhrE4SKa8uMboLczJbvdqpRUPJYvZ+uv0i15n4VVL+rU2YQNWImLVtT6JN15bS02vWluc52oxSiyUTlXoDOnSRoxgHy/eYwOxUyrU9/qlJM91RqAFgeEkpt1ay+T0iUm1dUypnxZYK3mWZMyoa8WjRmLscpV8W59LJ2ElXDYNrViNnB+MpUOJTGpt8g9Y8aqVJZ3xB68SjkuYjdAZGVeKUXwPDkunMPBF31xkQwkrTm+MK7VlOf5sBEYhUM8EG2fRlUlpYSyJEomRvPYUfRl9pQW0BQ8WfympgwkJB3y2vJauB0USW3w0cn75GHt55SL9lnb79F8aG2Ut6axTfwnLJcwkd2neFp2RcaUY1boDp1zUVlpLsnUpViE5n8Yyov48E4Hfs8iO2fg+i4VOoLcUFglJhTFbkmpJtu7ka8mvNG5m3RY8wGApMYzSEYxIMLxmz7WmMzpgc06iSvS1q2XG9SZK7O61fY/O4HGlGOUUVjppoadIjE1YLmskpo1biQCzLH82AiMQGEpiIqQWxQhyFpISa29iiXOR3JB5lbIFD/Sm/6wCzswB7hA9WJ1ZpENOdqqvnYrQvTde9pCYdOvRWVhfIUbRHz2yHdJRG4nSrw01ttSm8cTZEkGqj59GYBQCwzIZO2oWxloiZoGQSOIiUnJABsm2tANsMVhyawmwRc6IPq14aC7prs+jnuyckU1iAWeKEhE4o2ft1DNKjywHH6ET8YIOFJ1UaglSJ4FanzxX/AwWvHpKr85xLvn5zBjV91rCPerHe+rxDS98okI9/qK+pv+afMnz0wiMQGAYiSm5rO3AWAQQWExCGksbi3xpca0ZjExk95Lgmvwt7bJpDQ/J1O53tO7CJOKqJMX1GJjHRCV9jnhiq5KlknuMi5IOwqlXZ+bh1Vt6dI5zyR+j/RznWHvfstkEX/lE65Jx1K1hLx8tnfTW9HO7EdiCwDAS0z362ndbJPfSIqCOtj1Fi2dNhz1ztI5txUPyRCw6Lal+73MJV3bS4N27YdirVxyPHq26kFB7vw9jzr0kJr236KwxPM+OUfTOm8ioX36vOGn1D+M1x+hYzrr5sxEAgWEkpivBM3eYWjx7dtqjwqIHDxFf7apmlH53lCP/7okxSL20iToKD9lwVowqxiDTmQWi3LPZmKmbZT8XAsNIjEVJ4LJIzyokJ3Rgt3526cUD3Xld4YR0NoZx/lkn1TjHEe/PjlF9XzV7neqXnEdg6jleG4FhJMZ3GxDI2acIdOB1dunFg2QNAUJkZ54YzsYvzk/CBc9nuZ46M0aJK+afvUnq3cRFv/u9EWhBYFi2P3NhRkOfRQ++FCfhzN4xR+yu+B4cOD08Ew57YhQcGN+Lx565t8SHrtN79dwyl/u+NgJPR2I6AZ19ijkqWbx2+N7T+j0xehcS03dvPF2MwEwEhpCYFhaJ++xyhWuMK+Fxtj88/+8I7IlRxRbPrUXfxzH/7GISm42w5QuBIayjhXXE4pDiS88tCUJ669TU8mzZWUruFfBYwsn15yGwJUazlootnluLxh4Rlyaxrd5x/14EXprEekFbG3dksljTxe3XQ8Akdj2fWKP7ImASm+A7k9gEUJ9IpEnsiZxpU05HwCQ2wQUmsQmgPpHIVhJTv5ZrbvWpwXRkXPo6seYJt41E4KVJTItaCaDl6e/ERobfa8oSORF/W4tids9Y5p9dTGKzEbZ8IfDSJCYQRj+VaI5IFqN1t7z5CJjE5mPsGV4HgSEkpp/ucpI5u+xJEKN0vxIeo2yynHEI7IlRbZB6TmKKyyM2Vz6JjYsXS6ojMIx1dBVXn66vdcuCkB4s2DOL9DhTB899TQQUGz0xuofEQENzz0Zmy5qdrYvlPzcCtyAx7Vxb/vXyoxbpWlhcRY81PVvb/c9g/QMp4pEk3fvvD+6JjbuQmP/ZqX/Ei9/NRWAYielfrZ7xDwCz6Fv/rMOeBDES6q14kBBJjPoniRjP57NL/AeJZ/j2bPvi/BAEyVf/SC6xxPu8eQIT/rglvuo5Te2J0b0kpg3hGgHja2xUf63B1pjUOPR1MQIzERhGYrOCVvf4LX//SAscXc4uW/Ggf0yKJAsSx9pfOp5tJ0mc11rSm63HbPn6Y5XYKrImnrSpyESGPoyJPmvR8ewYbflTLFpz2CYSAhOwaY1JbeJaMHEfI7AHgWEkpuuD0X+SHHksnJYkqgTBQj27bMFDNmbslAiUVLfYJCyUhLaMVV+dDHvml4wjn3ts1qYh2yrfLG2MqCe5txbpeFaMys7aplA65ngEG9Yir7VCH+LXxQjMRmA9Ghs10OLgObJABrxayiwdWubOfbboot1xJmrJqCWcPK8+KxHx7Cnowk68FfueOUaP2WtzSR/JXCIxTmgk7JzwS7Kok095nlFkT+8Jv4XENMedYucMX3jOMQgMIzEF7toOk+RIcLMYSlcxWiTa3SKv9XsHyS1d/YyBq11KKx5IlM1ZuhLkGqZ5HJ81P8+eouu13vG1ObFLp8yc6JTkwWSrH/faXNJZJ7Fa0ieOW310hRgFW62vks1LdTqJrY1V7LQS+9J8rjcCLQgMIzHIicWxdoVAMiC4lXByElPiriWNJcPYLaNDvhJa6j+zvhUP9Svt9IVRqW1Nd43l2VNIymA5uuAb7MHuJX+RJJmbPlvKXptLcxHPkFRNly1YLdlcmntWnfSt2VSaWwS8FlO98ktzZCGMMAAAIABJREFUus4IrCEwNEttTT4kiEx6IrEeImoh0TVARra34KHEWyKqWtuanhq7lnCW5JC413bcS2Nb63XKyTt25s2bmxaZe23Oc7CRKt0W5H46PbZgfYUYXcI92xU/a11mX8U+er/lZKoxfhqBXgSGkhiLnkXaeg1U2rGRvPYksJ6xveCtjWvBQ4n3aiSGH0s6rdm8pV2/gounbl1Z9WxihGULmazpqUTfEssisbUEL/2uEKNbiAY/0T/6aQm/LWS3JMP1RmALAkNJTAHcEuwoqbtzJZ09CUyJpCXpbAFoT98WPJTIS6ceJb01MqEd0tnyWrNrjcS2zFWTRXKM9rVuYmbYLExEYGukpP6KPZ61on5XiFHpsnalKAJrJV42pvl2pYaJ24zAXgSGkhjKkJRKCbmkqJK0fn3HAlhLBCU51CmprS3KpfGz6lvwECFkHYRP66YgjtdYnj2lRjw98pbG4Dcwoihh9vpwr83ooI1HK4ExRoSwFrtXilEwBveazmwq6dNKYNqEbsHul+P9HyOwA4HhJEbAkwBbr4PoS5ImebCD60lgjEEOJHi10oIHpF/CTMmxJynsTejoQ9KdXWQjPgQHbWh65t1rs0h0K96yoTbuijGK3pBUac3JH60Ehr/o61NYT+R6zB4EhpOYEklrMiJxEfgspt5rFpIHSbd3/B4A18a24KEkmDHTKaWUZFrnZf6egj9aT9Q98jVGJx/m2jufsO61mflLGyHJlc75Kf/V5r1ijBJXrD30z4WNZWlTyeaU+myrrsVzfZbrz0ZgNALDSQwFCfLWhKSTypYdXwbh6vfwa3gomUAcSgIQGsRc291nHOJn5DBe8mJby3tdfbX03dNHV1DYTiLcU/bYLJIBs9KrFs/CqrbZuGqMCrOIvXxSwkF12Vbw6bn23uNvjzUCIDCFxJQQWq4Utbjzomh1jxZcaTfZKmN2vxY8sAMslCRICntOlkpOvSQmEt2jQwuu2sHnU2jL2Nxnj80iIuGfn7QvFQgY3y2Vq8co8RlPXTpZZgzi52grG9Aayce+fm8ERiMwhcQgJBb22umKxLV3B86CQ0YvCY4GtCSvFY/S2N66PQmdOY/QmTlInmtx0orBXptb54n9dB0KESyVO8Qo+vdsBCFoCP7K62/JL65/DgSmkBjQaCdPkMeiHR9XD+zsaos/jiu9V6LtWXwleTPrlvCYOede2eCKj7IP98hFJj6HcHTNeucESAKvnULuFKN7/OqxRuAsBKaRGAaxuOMuWztlXUvsITDkL335fBaYa/NmPNb6X6EdnXmNIpp4bTdS7hlYQchrNwl3i9EzcPScRmAPAlNJTN93QF4UXb2wA9/7XUuWvQeEo8beUWfIS6cN9N9bIC42MWxuRhHjXp22jkdv9F8jsDv6eysW7m8EzkZgKolhHNdoukIcZSxJhGR4h2vEbPMMPPIcMz5zagZzbUhmzHEXmZA6sVcj4TvH6F38YD2NAAhMJzEmYdda+/XWVlcgj9ddy2g87orDM+t99xh9Zt/YtudC4BASAzIW9YjrKH5kcGcCU/iMwkPy/LwOAs8So9dB1JoYgWUEDiOxZRXcYgSMgBEwAkagDwGTWB9uHmUEjIARMAIXQMAkdgEnWAUjYASMgBHoQ8Ak1oebRxkBI2AEjMAFEDCJXcAJVsEIGAEjYAT6EDCJ9eHmUUbACBgBI3ABBExiF3CCVTACRsAIGIE+BExifbh5lBEwAkbACFwAAZPYBZxgFYyAETACRqAPAZNYH24eZQSMgBEwAhdAwCR2ASdYBSNgBIyAEehDwCTWh5tHGQEjYASMwAUQMIldwAlWwQgYASNgBPoQMIn14eZRRsAIGAEjcAEEDiGxkX92xH/m4gJRYxWMgBEwAhdBYDqJQWB7/iDmx48fH/wl3fi3yJDJy8UIGAEjYAReG4GpJPb58+fHu3fvqn/GfQ3+t2/fPt68efPgBKbiP/0uJPw0AkbACLw2AtNIjJMT5PPt27duhCWDk1guatsjP8v0ZyPQggCxpxsCYpObhi9fvuzarLXM6z5GwAj8jsA0Env//v3uKz8SA0T49evX3zV/PH4lkr0nvaJgVxqBBQQgL2KS62w2ULxUR8xzS+BiBIzAcQhMITGuEfMVYI9JJAdIaqmQMLhu/PTp01IX1xuBYQhAWMR16TteYpA2YtbFCBiB4xAYTmIilhE/vGBnu0ZQtENkd9gBc7Jcs+c41583E99vcg13N5+JqEo+FMHp6vtONp4XCZ7ZCOxHYDiJtZzCSOYs9kx0XBtSjwwKO9u1REeyoF8pseyHZ5wEbL7q1WerP8ah8fjlezYpVy7ZZ4rt0mmL2M0nMeL76jZeGX/rZgRaEBhOYiRq7UZLCpAAIBztakkUFCUBEoHq4i8SS7JUx/UOp7GrFu3S+UHA1coWf4zWnQRfIoTR8/TIK/lMtwzEWvQl9dhSuhG4so09uHiMEbgaAkNJTEQkEioZG09WEBa7VciKBEBCI3nEPiUZua5l3jzmqM/YArFf9aQYsR7lj1Zsr/oL05rPdE0IVmzWeBG7kFXEUhhc1Ubp56cRuDsCQ0kMQmJxlxZzCSgSAIufl64QS/1a6pi39IV7y9iZfSCv0g595py9skf6o1UHYqb2451WOSP71XzGhgl/EmtsuHjxXhuAkh5XtLGkp+uMwB0RGEpi2pG2AqErRRb53qJE0kqge+drGY8uYDLzFMZOXyeC1ufSSXmkP1rwoY++01zSqVXOqH41n0nX0mZJ8VeyQ+NKbaP0thwj8KoIDCMxXeltSdhKmuxm9xZ96X6lRCH7ZhIrsnUiaH2SVEtF+o7wR0n+Uh0EcJXTmDAo+UxtpRgDM10xluy8ko0l/VxnBO6KwDAS4/ssFnFrAiQRcI3IGJLD3qLvHkac6vbqovG6dtLnKz9H+2OLrdoAlchhi5wRfWs+E4mhby5rJHYlG7Pu/mwE7ozAMBITIbWAQbIiWUA8a79mbJGnPhAicq9QsBF9rpCY1/CY5Y+1eWN7jTxiv5nv13ym037pF5UaW2qTzlewUbr4aQSeBYEhJMbVCwkbIqsVkgDf28TkzsmJz8iA1Eq73JrM2CbZS9dlse/s9/qOpHQtNXvuVvmz/dGqB/2ugNeaDvgSIuJFrKpQT+xTX4u9NfmS56cRMALtCAwhMV2lsEhrRae1uFvVWNogoT1JX1eae4iwpv+WthZS3yJvRt/Z/tiis045Z55cW3wGeWmzpJhlHHWR2Eq2X8HGkl6uMwJ3RmAIiem7grXvtiCs0kKnjra9RUliTY+986yNFzFHsl4bc0b7bH9ssUmYnfWdpuZv9RknLsbwat14aY6zbNziD/c1AndBYAiJ6Urw7BOQkgS74jOLSB1SdWlHgBPNWb9SPMpnZ9rY7gn3NAL3QWAIiel6BRI5s3Cia7kSmq2jvvs4G4/Zdo6WD4HhvzPKUT4708YzcPWcRmA2AkMyBl9ok3xqX2rPNkTy0eOsRCgd9F1T6zWTxr3688zN0FE+O9PGV48v2/+cCAwhsSsQh9xzBV2uoIPwuNNT19I9J1hdJfeMBaOjfLbHxjv50roagaMQeDoS06mw9AOSw0C9wGnwKFtHzqPvpXp+mHMXEttj40isLcsIPAsCu0lMyYOd7BXK2dc1+l4OPVy2IbAnwSsOe05iR/psj43b0HRvI/AaCOxmHiWPqyTtVhKT3rpGanm2nBAk9yp43CmM9yR44c5za9HYI3y2x8atdrm/EXgFBF6WxGY598iEOMuGs+TuSfDC3SR2lvc8rxE4BwGT2GDclUyP2NUPVv10cSax011gBYzA7RAwiQ12mUmsH9BWEtOVccsVsPrUtDrSZ6021vR1mxEwAv9A4GVJTIlLSa7lSQJaK5Lrk9gaUr+370nwwp3n1qKxR/hsj41b7XJ/I/AKCLwsic1y7pEJcZYNZ8ndk+CFu0nsLO95XiNwDgK7SUw/T+Ykc4Wiq6aeZDZCf+FxxK5+hL5XknEWiR3psz02XslX1sUIXAWBIcyjq7gZRmmH3UoK0oXEdFaRDmfNf9d59yR4xUnv5uUon+2x8a5+td5GYCYClycxLfrWP5FxVDKqOeUKOtT0u2rbnn+S6S4ktsfGq/rNehmBMxEYQmL6l7ln/APAuh5slX0FApHOr/YPAOMjNhuyH18QG2xEWorG9Zym9pKY5l7z2Zk2tmDoPkbg1RAYQmJKAD3JZw1w/i3Etb8YLRlKZOhzZjnqz3qcaWOeW98r4S/FAQlf/zp8y0lam6Es+4jPLT67u41H4Og5jMDRCAwhMV2RjP7T8iRBdvOtf2xTJNZKerPA1hXoHf8oJhuAnk2AsM8xIB/ix7Wik9tavxntLT67u40zcLNMI3A2AuuZpUFDJYDWa6MGkb+6kBDZnbeWWXq0zq9+SnYtpw+Nucqzl8Rq+kNOayQmzNgQnVE0f6/P7mDjGbh6TiMwG4EhJKYEsHYC4vsGndq4dsq/IFQi4AqKwklmy2lGsltPbjPBxRbZMXqerThumX80iekktoYFfgazfJLbovvevr0+u5ONezHyeCNwNQSGkBhJlQSwdmpil0uSEunlXTfkg5ze3TAJmPEklbOLvmNZ+6FAj54zcRxNYtpY4PNamYlXbd7Y1qvDnWyM9vq9EXgGBIaQGEDoC/zWpA3hZdITifWSUAuRHuU0yBp9Zp8sRuM4ksTkzxYMtvyAZ5YPe3x2NxtnYWe5RuAsBIaRGKcDkjaLuqWUdr3saPPprEUWfZZOd63jZ/Q7IjGPxnEUiXFVjP0tp+otRDDDT1HmFp/d1cZor98bgbsjMIzElIhakhag6TsQXTPpe4XeU5h+1NFKokc4TjqVTqdqg/hbX8Iq6t6Lo0i/dW76oXNLUXJv3ZBAxPlU3jLPjD7yS8lncb472xjt8HsjcHcEhpEYQLCLXfsCX4ApieqHGySy1iQpGfGp78PWkk8cM/s9uoDJHrvWdJyBI1j2FjYh2NxKYNq8tFw59uq0ZVyLz+5u4xY83NcIXB2BoSRG4mLH3nqaoi8nN05P7MR7CYhxyIIIr1YgMJJ6r20t9ozCkbn2XCdiI5uYVgJjPvpe5RQmrGs+exYbZaufRuDuCAwlsXwqWAOHhEcCI8nvuQbUF/J7ZKzp2ttO0sPGmaexUThi4x4SY0NS2oywqaGe+IiFKzkIONfHPme8r/nsWWw8A1fPaQRmIDCUxFCQZNV6paiT25adewmEK32nUtJP5E7SnlFG4YhuvSSma0FIaekFOcRCnLR+hxrHHfG+5LNns/EIHD2HEZiNwHAS06mo5UpR5JOT2xajlVhmnnS26LPUF1xKp5Sl/lvqR+Co+XpJDPyXyEv1moMnxNu62YnjjnyfffaMNh6Jp+cyAjMQGE5iEFLLF/v8oIN+e08nJJbZ3zmNAp6kOJpsR+EoG3tJTONbnmw8mGfP5qVlnhF9en12JxtH4GQZRuAsBIaTGIboZ9/5NKaTCFdI7M5JEHuKCHM0MezR6Yixo3E8QmfPYQSMgBGYgcAUEkNRrorid136jkFXS3sJjDmWvmSfAdRVZM7A8Sq2WQ8jYASMwFYEppFY/uUZvxyEwDhFjPgVYZa/1fC79h+N411xsN5GwAgYARCYRmII51pRV18j4eYakZPeq10jjsTQsoyAETACz4DAVBIDIK4UR/9PyMiMV5XP4AjbYASMgBEwAtsRmE5iqATh7P0VokzjxyImMKHhpxEwAkbgtRE4hMReG2JbbwSMgBEwArMQMInNQtZyjYARMAJGYDoCJrHpEHsCI2AEjIARmIWASWwWspZrBIyAETAC0xEwiU2H2BMYASNgBIzALARMYrOQtVwjYASMgBGYjoBJbDrEnsAIGAEjYARmIWASm4Ws5RoBI2AEjMB0BExi0yH2BEbACBgBIzALAZPYLGQt1wgYASNgBKYjYBKbDrEnMAJGwAgYgVkImMRmIWu5RsAIGAEjMB0Bk9h0iD2BETACRsAIzELAJDYLWcs1AkbACBiB6QiYxKZD7AmMgBEwAkZgFgImsVnIWq4RMAJGwAhMR8AkNh1iT2AEjIARMAKzEDCJzULWco2AETACRmA6AoeQ2J9//vn4/v37EGN+/PjxQJ6LETACRsAIGIHpJAbh/PHHH91If/z48fHhw4e/kCAyTWTdkHqgETACRuBpEJhKYp8/f368e/fu8fPnz27A3r59+3jz5s2DE5gK8t6/f//49OmTqvw0AkbACBiBF0RgGolxfQj5fPv2rRtWyeAklova9sjPMv15PwL4Radn/MYp/MuXL7s2Mvu1sgQjYASeFYFpJMZJae+VH8kPIvz69WsRf5Ll3pNeUbAruxDAH/gLv7O54KU64mHPibxLIQ8yAkbg6RGYQmJcI+YrwB4kRVJLY0mKXDf6WnEJoe31nJ7YPGwtEBY+L33/iX9ow58uRsAIGIGRCAwnMRHL3lMYRrZ870WChMjusMuHHK5OuJBNj44iqtJYEZyuhfl+k/d38NnIxWZZRsAIjEdgOIm1nMJI5iSxTHRcG1KPDAoJdS3RkRB7E+94OJclYvPoq89WHJe1+r2lF0v5vXTawq/IjW34nk2KixEwAkZgDwLDSYxErR13STESGbt17dxJxBQlOpKd6uIvEkuyVMcVFqexqxadRPjRw6iyBcctc/aSmE7g+CHaST1kVTotUx+JbYue7msEjIARAIGhJCYiEgmVII4nKxImO3LIiiRHQiPhxz4lGbmuZd485qjP2AKxl67Z9ugQMRqFI/r0khhjdU2IDDYyvPArZBX1ld3+hamQ8NMIGIFeBIaSGIREAislrJKCJDkSHC9dIZb6tdQxb+lHBS1jZ/aBvEqnkJFzjsaxl3DZTGArfmAzwov3+CZfHct+6iF5FyNgBIxADwJDSUy77lZFdKW4lOBa5dBPybKVQLfI7u2LLmBSIgV9n6UTS8szXtNFnXpwXJofwtGVcNZpaX500XeTpY2EfFM6oWtcqS3a6PdGwAgYgRICw0hMV3qlhF2amDolX3bse4t+WHClZCj7SsRK8tZppfVZktOL49L8OjWVdFqaP+pQwh9ZyIUUSwWS82mshIzrjIARWENgGInxfRaJioTVUkh2XCMyZgvxLcnW9ysjTnVLc2yt19Xa1nFb+o/GsdcfImw2M7mskZg2QCUCzLL82QgYASMQERhGYiKkKHzpPcmKBA/x6Opqqe+WehIwcq9QsBF9ZibmGTj2kphOwqVfGwqLUpt8dQThay4/jYAReB4EhpAY10wkP4isVkh0XCnF5M7Jic/IgNRKO/mazNgm2VyVnV30PVDtCq5Xx5k49pIYdkJEvOJ3Z9QTF9TX/DITr16cPc4IGIHrIzCExHRdRCKqFZ3W4o5cY2mDhPYkfV1p7iHCmv5b2lpIfYu82Hcmjr0khn6QlzYS8ifyqIvEFm3Re53kZp5cNZefRsAIPA8CQ0hM34esfbcFYZWSGXW07S1KhGt67J1nbbyIOZL12pgt7TNx3ENisiH+aKR1UyLMrvSdpuzx0wgYgesiMITEdCV49glIiZCd/5lFpA6p3q2AYe3ab6Y9EKh/pTgTYcs2As+HwBAS0xUSCfDMwomORMhV1plF3++cjceZGPTMDYHhPxcjYASMQCsCQzIGX9qTfM7awUdj0ePsRKjvrFqv0qL+r/z+KpuhV/aBbTcCd0NgCIldgTgE/BV0uYIOwuNOT11L+wR7J69ZVyNwLgJPR2I6FZZ+QHIU1CaxPqT1XeLZP8zp096jjIAROAOB3STGrvlKSfvsKyl9L3f2j0vOCKa9c5rE9iLo8Ubg9RAYRmJXSdqtJBbJVyS89mw5IUjuVfC4U0ibxO7kLetqBK6BwMuS2Cz4TWL9yJrE+rHzSCPwqgiYxAZ73iTWD6hJrB87jzQCr4qASWyw501i/YCaxPqx80gj8KoIvCyJiWzWvgeL7STZtSK5/k5sDanf201iv2PiGiNgBOoIvCyJ1WHpbzWJ9WNnEuvHziONwKsisJvE9JNyTixXKK2/Tpylq/DwSWw7wiax7Zh5hBF4dQSGMI+u3GaAufVkI138PzvP8MZcmSaxufhauhF4RgQuT2JKbK1/1kQkdqazrqDDmfb3zu1/dqoXOY8zAq+LwBAS078+PuMfANb1YKvsKxCIdH71fwBYp2g2Ii1FuDHOxQgYASPQgsAQEpuZfPi3ENf+YrQMVdJEnzOL/xTL49df6NbmppXE1P9M33luI2AE7oXAEBLTNdDoPy3P6YuTVesf2xSJtZLeLFfpCvSOfxSTDcCITQDXvyKlVhLD14xxMQJGwAi0IjCExJS0W5NVq3KQ4pakNkuPVn3VT2Ta+j2exl3hOYLEsJ8TNJsPiKklLoQZGyIXI2AEjEArAkNITAlo7QTEd0Q6tZHk8i8I9X2W/jIzJ5ktpxnJbj25tYLU0w9bZEfP+NqYrTjWZOW2ESTGxgO/KS5aSIz+YDb6NJ/t82cjYASeC4EhJEZSJQGtnZo4mZCklNzyrls7994TDAkYPVp/BDLTlfpebMaPO2biuJfEICyRt/zcQmIz8ZrpZ8s2AkbgXASGkBgmkLggkNakDeFl0hOJ9ZJQC5EeBTdkjT6zTxajcdxDYvofvXXC3kJiW37Ac5QPPY8RMALXR2AYiXE6IGm3XuWVdt6czPLprBVCJcze8a3zbOl3RGIejeMeEmMjE0/R8snaSUybl9mEv8V37msEjMA9EBhGYkpEMYnVINB3ICQ6in6J2HsKI1FuIdGabqPapFPpdKo2dG59CauoXy+OIpjWuelXIyPaIO1oq+agjfp88pYdEPFSm/r4aQSMgBEoITCMxBBOEtP3IaXJYp0SHEmYQiKrJck4tvRe34fFJFrqd2QduoDJHrvW9J2BI1huLdjZQohZrjYvPoVlZPzZCBiBFgSGkhhXeSSy1tMUfTm5cYpjJ95LQIxDFkR4tVI6oYzWcRSO6LXnOjHbJYKtkTgx41NYRs6fjYARaEVgKIkpael0taYEpzYSGLv41u/SSjL1I4o9MkpyR9RBsNhYS+R75xmFI3ocSWL6IQhx42IEjIAR6EFgKImhAAm79UpRJ7e9P8a4+ncqInf9aq/HUbUxo3BkjpEkpu9Jl/xLnLR+h1qz321GwAi8LgLDSUynopYrRZFP7zUibtN3KjNPOiPCA1wg+D22LukxAkfJHkViigOuOnllIuNz62ZHuvlpBIyAEcgIDCcxkjTXgzlp5Ym5cqTf3tPJEd85Zd17P5PYR5PtKBxl0ygSk7zSk40H88wg9NJ8rjMCRuB5ERhOYkBFYmX3nU9jOolwhUQ7SX1PEWGOJoY9Oh0xdjSOR+jsOYyAETACMxCYQmIoylVRPI3peyFdL+0lMOaADJXQZ4BzRZkzcLyindbJCBgBI9CCwDQSy78805f8kM6IXxFm+S3GPkOf0Tg+Aya2wQgYgddFYBqJASnXijNOSlwjctJ7tWvE1w1TW24EjIARKCMwlcSYkivF0f8TMjLjVWXZNNcaASNgBIzAsyMwncQAEMLZ+ytEOYIfi5jAhIafRsAIGIHXRuAQEnttiG29ETACRsAIzELAJDYLWcs1AkbACBiB6QiYxKZD7AmMgBEwAkZgFgImsVnIWq4RMAJGwAhMR8AkNh1iT2AEjIARMAKzEDCJzULWco2AETACRmA6Aiax6RB7AiNgBIyAEZiFgElsFrKWawSMgBEwAtMRMIlNh9gTGAEjYASMwCwETGKzkLVcI2AEjIARmI6ASWw6xJ7ACBgBI2AEZiFgEpuFrOUaASNgBIzAdARMYtMh9gRGwAgYASMwCwGT2CxkLdcIGAEjYASmI2ASmw6xJzACRsAIGIFZCJjEZiFruUbACBgBIzAdAZPYdIg9gREwAkbACMxCwCQ2C1nLNQJGwAgYgekImMSmQ+wJjIARMAJGYBYCtyKxr1+/Pv7444/Hhw8fZuFRlPvz58/Hp0+fHu/evXt8+/bt733Q582bNw+eVy7o//nz51/6Y8eW8v3798eff/75ePv27ZZh7msEjIAROASBbhJTYnz//v2vRE6So26tfPny5Vd/kj+vVkKCPEjEW8as6dLaTuKXnXckMTCH/MFuC4n9+PHjEf3Vipf7GQEjYASOQqCbxKQgSV2E1JIgOc3QH9IjSW4tZ5AYOmIbc0cS26r7mf3lpxYfZT3ZaGC7ixEwAkbgagjszkwkx0hMNQPZ1atv6wksyzOJZUTaPpvE2nByLyNgBO6FwBASg5B0XQVRLRX66URjEltCaU69SWwOrpZqBIzAuQgMIzElSU5apUI7xKV+mcT4Pk0/IOC0xXUjn/P3bPkkhhzq9NJ1GT9IELHShl5qK+mX6+irUyNPyUJ/SvxOMMrlRx7ojV6yifmxJ/bTfPTX923ZZsazKaCdsbynD59VNAf1zENbaSMh3LMOpfH5hyrCmDkZz1y8+I4yFuag/uPHj7Ha742AETAC0xAYRmJoqGSXkyBtkAD1Sqb0jYV2yELfk5EsSco5UVIXx9KfxEl/ErIKdcikjpdICHJbKyJTEZZ+UMLcqsMWyRQxIJt66YieJHRe1PGK9oigZLPmkX3MhS6SJ4z4TMEu7BTZ81n9M5EId+mq8ZCedEIPPiNfdtIPfahDJjrTpn4RT9roh54uRsAIGIEjEBhKYkpiSsIygOQIQVGUTHMfPufkV0qI1GkschkTEylzKLkrOcd5Y90vhdJ/REIxidNF5BDrZUskBvqiI+QS9ZJc6inSUQT2qzIQhubRHMKGcRqDTsJV43lShw6SQZ3kRF15j4xY1E8Y08Z75DG3iuzJeGJz7Kf+fhoBI2AEZiAwlMRQsJRASZQQHKWUJLNh9NVOPyZT+onEkEPbWsKknWQtvWISz/PyGbJgjlwY10IMjJOOWYZsItGLBOhbeklP4aXPkoldjBO5qZ4nxEJbJKiSHOlTmp86FZE5CKISAAATrUlEQVSYPvMsyYvtfm8EjIAROAKBf2SqztlEJhqu05iSK8lWpw/6KPllcqKNxA7ZkHxJ9CTS3I86ERJJuEZiJH768pRemQykt56lOWljHG3oryJbsswlGbpWZJzkSdbSc2kO1edrQ+SoLWKnuqgresbPSzqYxJaQcb0RMAJnIzCcxERaJEiuvUiSMVEqmcYECwgk43wFVyID1YmURJYZSAgukpzmjbrkMXxGPsSXC+NoQ47KkkzpqH56Rhl6r6tB9cnPpTlUn3FkfKlNddF+9IyntTy3PpvEhISfRsAIXA2B4SSGgUrQEAyEEE9LSqYx+ZLISaj5VFEig1hHAi6NE8FxslPRvDGJqy0+IVJkRp1pl03IUVmSGXVUX57SF9m6TizpQzs2UJbmEGbxlKu5SmNKdZA847OtyInfdZnEhKyfRsAIXA2BKSRGUiSR88o7fSXTSGKqiyQmGbEf4GWCUIJV0qePCCeSWI00olNENFlvyURXFemdiQgdIYhcIHTJxT4RZiQM6iF/ndCW5kB2yXbqReKSQV1JjmxC19xXesZ5eK9Skkcb9djgYgSMgBE4AoHdJEYiJDnHJIjiIoNcr8RJAlebCIs6EjAvErnIgCTPd2RKnPF0hwz68RIZiLBIzrxnTiV89IpkmUFGnsgFHZgTfZiTORgvcpQt9ItF+tCObbwYF22mv8iG/shHR/owTiXOkclBujIGPSk8+YzsWKIc1SMPjKQv8/OZ8ZpLc9AHH6iANXXRdtkT69TfTyNgBIzADAS6SUyEogTIkySoQvIjcauU+scxJECSJy+RjBIqbUrCcT5kipxiPXMigzrIgfFKxnyOyVj6xSftkos+zM0LfZBFUbvmjbZTR1+Sudp5jw65QIj0la4i4tIc9MkFmXEeZIlk1TfrGuVEgqU+6lnyGThkebKd/tF/mt9PI2AEjMAsBH7PirNmeiG5kIES+wuZbVONgBEwAocjYBKbALlJbAKoFmkEjIARKCCwj8T+0396PP7Lf/mb2P/6Xx+Pf/2v7/UZ/WP5z//58fif/3OXPf/vf/gPv64G/92/+BeP//Ov/tW98Njrv4xnxNbvjYARMAITENhHYv/rfz0e//yfPx7/7b/d8/k//sdfIf2P//Hx+Df/5vH47/+9y54v//bfPv6/N28e/8+bN39//u9/9s/ui89Wv2Y8/4quPxkBI2AEhiOwj8RQh5MYO3jtwu/2OUP67//94/Ev/+V97Tkb/4ynPxsBI2AEJiKwn8QmKmfRRsAIGAEjYARqCJjEaui4zQgYASNgBC6NgEns0u6xckbACBgBI1BDwCRWQ8dtRsAIGAEjcGkETGKXdo+VMwJGwAgYgRoCJrEaOm4zAkbACBiBSyNgEru0e6ycETACRsAI1BAwidXQcZsRMAJGwAhcGgGT2KXdY+WMgBEwAkaghoBJrIaO24yAETACRuDSCJjELu0eK2cEjIARMAI1BExiNXTcZgSMgBEwApdGwCR2afdYOSNgBIyAEaghYBKroeM2I2AEjIARuDQCJrFLu8fKGQEjYASMQA0Bk1gNHbcZASNgBIzApREwiV3aPVbOCBgBI2AEagiYxGrouM0IGAEjYAQujYBJ7NLusXJGwAgYASNQQ8AkVkPHbUbACBgBI3BpBExil3aPlTMCRsAIGIEaAqeQ2J9//vn48OHD48ePHzXd3GYEnhKBb9++/Yr/T58+PaV9NsoIHInA4ST28+fPx5s3bx7v3r070s6XmOvz58+P9+/f/8IXjN++fftgw/D9+/eXsP8uRn78+PGXj758+XKKyleJE8icOC292OR+/fr1FHz2TEp+++OPPx7eoOxBcdvYw0mMwCRoz1rA2+C5T2+RV8QVrCEyXiay6/gSX521ibtanECo5AM2WyqQG/hQz/u7lKi3Sew4rx1OYuxCSaouvyPAou0JfoiLsWCbi9piksh9/Pk4BHQTQfLuLc8UJyKxuPkCF8Vtz3roxbV3HD5l7UG8nCB7/dM7/6uPO5zE2AneITDPCIze4AfPpbG6smFxuZyPgE7HJL7esuTrNXlXjBM2V9iTbwoUt3fIFRCx9LyT3mvxcpf23SRG8Gn3wV2wCotU9brbpo5T2J4FLPlnPrfYvEXP3uSkXWvptKW2PTv/bAMLNu+cc5/8GZ8rYbFjjTGg74hKJ8ks54qfiW9df0WciRPVy15sVMLrteUucdJiH5va0s0MGGFnxFPyIApyDe28yDP6kViOM+pVxzz0Z7wKPoqyJC/2Ud+Wp0msBaWxfXaTGAFAoCjoCAqKCIyg0AKmXsHWakaUg6yWV6vs3n5bbW6dB9t6E5y+64iLngXFwgXDkQUfIlebkxbZJG/00SKXnoobbF+Tp7EtMaA+vXi22EQfsICciXFwVkLms5ImvlGhPq4H1W953iVO1mwCB2xhPcVCPeQPfjlfaMODX+mnmNAGDlnUEUvI5kkbeUl1movxzMEY3lOIS8Zt3aRJpvSZHXeaz8/HYzeJCUSCBOcTBDiQhStCU59ne462Gfz2BD+LERnxhR+0QEfij59JAD0+VuJgwfN+jbxG6j1TlhIgmEBoMTmOnPdOcVKzW6QCbirUaUOWiUT45jUCHnmjJjKBDJdiVH14xlIbE/uV3ktm1rHU13VjEBhGYqhDQiIAec5InGNMHitlpM17kpN2qDEhaNHPIjKdPJaSxBLSJHfttHMCWRpzh3pwwIfgnZPqSP3vFidLtitmsUcv1pNOTnGcTk3ETSwijRj3tEMiazjJX8TjqCJ9TGKjEF2XM5TEWLgEztaktq7m2B4KcC2cludSsu2xeeT8IKOFQ1LIRXOtLSrJaMEi98mJJeuQP0unnHhyv6M+Z3vWPtcIirHgMWITJ5zW9IntS3EKlvLxnjgZ6ROduFqw0ne70p0cAz6QHv7IMrQuc33WH8IEP3SpYZfHLX0WxmvrbWm867cjMIzECJYtQdmqqoIxLtS1962y9/YbbTN29QS/kl3pWk6LqpZ4e3FAJklk66ZFiaOkb00X2bLm/9jeg2dNh1obOOhkXuu3t+1ucVKyl7WDHeSMlpJPbYzjBJWvHCVL5KbPtSebKfqjz5K82vjYphg9Mu7i/K/4fgiJKZkTVATC1uR0R+Bn2Lw3OZUWoBbVaBLTwu8hMMWJdtV39H/WWQQm24iPWeVOcbKEgeKyNQa0mc0/9CjJxxdg1CobGVrPjGuZozQvdbLLJLaE0Pj63SQm57N4eb81eMabNF/iLJt7k5OuWjjh5ALZIHfk1R2LnJ1riTTz/PEz+umqjZ106y48yrjiexEYGLOBA++ZG7m7xEnNVzpZteKk/qy9WCCNTFZaD7X4JBZzu240kNlbTGK9yPWP20ViJCQWlBITapCY+EwhUPbsavrNmjdyps29yQlrwZ3xJFItdBKErrdUNwIZFntOADW5xAG68dLJTUmJ+EDWFnm1uY5sQ3fZxSaOAs7UYTPvVT9SL+T37vT3xIkSNPOrlOpoEy7qF5/gonXUurnSPLIbGYwlvhVTmkPxVss94MBLfXjyWblLsjRvtFltpSc60Xf0zUdpLtf9DYF/RONGRLSAcXwMIu1Ee3bqG1U4vPtsmwl+LdKtxrGoGavkgCx8Qx1tZxZ0Ih7irhssqUPPvJM+U9ctc0O86K9bCI0VQWN3XBtq3/s8K05KCb1Uh33oyKtUYozSJ8ZFqb/qwFtjiR1tFNSuJ3FPe63gI11RooPkEZexLNkX++BjZEk32Y5M6u+4QYv2Xf19OcqurvWT6kfw95LYk0JiswoIOE4KoLjqZREwib2s6224ETACRuD+CJjE7u9DW2AEjIAReFkETGIv63obbgSMgBG4PwImsfv70BYYASNgBF4WAZPYy7rehhsBI2AE7o+ASez+PrQFRsAIGIGXRcAk9rKut+FGwAgYgfsjYBK7vw9tgREwAkbgZREwib2s6224ETACRuD+CJjE7u9DW2AEjIAReFkETGIv63obbgSMgBG4PwImsfv70BYYASNgBF4WAZPYy7rehhsBI2AE7o+ASez+PrQFRsAIGIGXRcAk9rKut+FGwAgYgfsjYBK7vw9tgREwAkbgZREwib2s6224ETACRuD+CJjE7u9DW2AEjIAReFkETGIv63obbgSMgBG4PwImsfv70BYYASNgBF4WAZPYy7rehhsBI2AE7o+ASez+PrQFRsAIGIGXRcAk9rKut+FGwAgYgfsjYBK7vw9tgREwAkbgZRE4hcS+ffv2+PDhw+PTp08vC7wNNwJ//vnnr3Xw48cPg2EEjEAnAqeQ2MePHx9v3rx5fPnypVNtD2tBgE0COLNpcLkWAj9//vzlm3fv3l1CMTaVxMoVCvGKLqUXen79+vUKaq7qgI8/f/78a6Py9u3bX/bwZPNCm8sYBE6J2vfv3z+usnjHwHg9Kd+/f/97EjCJXc8/JGKS9BU2ciRaEcZVkJJOJHwV4pi8ga53iGkRF7ZQIC7sQX9yoMsYBA4nMe1A5dgxZjyHFO1ARyxQbRTusuCfw4PtVnAbQZLrLTpl947XOK4y0UPkoPqznyKxTPJ8Jqbv8FUEekYSFqbCesQ6l8xXfh5OYuxAWTQ+Tv8edqNIjAWu7xxNYr/jfIUaNhl7EvEoElOcXOk6Ef/oxMKNQixaI3uwi/LOeC+sTWJj0N9FYvF4DDHlgCOB8opHZ3agdw5AYIeItZvKOy0lF+zeenevBbonuNlZMze+kC575C2F2R9//PGbv5f6Ut8TKzV5V2oDayUmYj1u0ORTfELsC4u9Gzn5dg8OnGqIY/SV/nvkjRwLjmCUi+wu3eQQ+6xHxoE3tin2Y/xRT1/Vqb/6MmduQx46lebNOq59Vu5gDpf9COwiMRYlC0ELNSd03ftr8aIujtviPMkmiFpfBPqsQvCz4LFBC5+6WAh2dN1iJ+Nla1xMUW7Le3QS3lrwe+QtzakTdbZ9qX9PrJRkCaPWWKDfzHhARzCPm4Z8BYbt6BE3Na24lTCgTr5dal+rJzZJ3tJJsbw27oh2dAMvNkqxUA8BoHfGD8ypZwxtso/+FOqJHeUknuQr/Ka6OBd4iOyoZyzyc46LY1reo+cRMdmiy7P02UViEQQcroBRvYIjB5za7/5UQOakBYn1BLsSNM+ewi4RH7CAKUp0vfLWdCAxYKvmW+uv9meNFeKcBJV9D4nltSEsep/ybe94fMdL5UokprwRTz3UaXOY1xtEBO7YEEvJJq0x/MG4pVIiGvwadVoau1RPfIwgwiX5r1o/jMRYEDg+JjScnhf0MwGtxaOTD7YpkfUQtxZYD+logbDYVZToeuRJRu2p3e5WInvmWCFJgUcsJMyceGN7z3v5tmcsMYKeMUZLCb9H9ogxOrmST/RS8i8Rj3SP9ig2I1Gjm3DjWSvMh99iPqv1X2tDDnGRY2NtnNvXERhGYuxQCDglTAKKzzGw1tU5rocWR+sz7/KkKcEe21qJWwuvdX761Qryoh701YLFJyz+3J7lqf8WndR3y2blirEiO1qfS1iKoIUt5LX3FNaqk/ot6YZOSu45iTOG8RT8k9tlzxFPEj26tBCI8ozIgc/CvHTakp1rspGBDqzvvRuQSGBr8x6B77PNUc+MG6wlUeJ0HbdZzCMWguQiu/U1Yt5W01kUBDoFouB9b6DKVp5bik6Ea/jUktuW+dQXO7GXBLLFZtnZEysau2ZrbD8yHpiLufEJmJBIt/pT+NaemqfWp9SmDUTEp/T+SMyinmCGPiKl2FZ6r6tH2QDexDl2lmKSeG1dB/gNecjesknLemLL1jWSZfjzMgLDSIwpcDZXAQQWzi8F0bIq92xRMsFWAlWJuccaJehRSU+6jZKXbWKj0rs4nzVW5EPWAGshX2dlDHs/y7e94/M4Ejs+ObsIv3hFX9NJOLSclrTZa5WteSEwsGmZQ2P0ZGzvGpEMP+sIDI1anAV5sdthEb9C0U4Q23ntKVrAo0hHC3yUvGgbduNnEkNPedZYiScJ8Jl1nS7f9mBfGnMVEoNgIIzW/KH1l/vjh3zi0hVhjYxoy6curUsw31KkW14j6DbqpmqLPs/adyiJaceSg+BZwcMu3cnvSejCR4tlFOkoIdQWrebe+mQR5sW5RcYzx4quoGbgLoxHkxibCsijhXRFeDGpl+qkY+wn/UtPkruwa73RYAxrj3jkPQXyoC7jr5ir2ciaYazWIDJL47RWa6dX2UKf0isTbwkT160jMJTECCQcp2Ban/7+PXRF0broahZrYWgB1fqutWnhafHkBb02fnb7s8YKsc8awL6ZRQQxYo6YbFs2YyXCKtVJx1YSi3oQt61JnjUoEmYc2Jc2WPTBvlphnWAL/bR2kJfXpNYqfUoltktOfmaZJTmuW0eg7IH1cb/1IIm3LIDfBt64QgkLwhhRFPjPHtzPHCskPJLl7I2cCGJE3FmGEbgzArtITKeumddWVwOX5MFuDaLB/iMS1tUw6NHnWWOFOGATwxWVdvClU0APZh5jBIzAOgLdJKZTg47IV7uuWje9r4euTbDbBNaG4TPHik5ExMOr3US0ed+9jMBcBLpJTL+8YYfdenc915RjpENcJCx237OvjI6xaP4szxwruoVgc+MT2PxY8gxGICPQTWJZkD8bASNgBIyAETgaAZPY0Yh7PiNgBIyAERiGgElsGJQWZASMgBEwAkcj8Oaf/umfHn4ZA8eAY8Ax4Bi4YwyYxEzi3sQ4BhwDjoHbxsD/D151dd/Co/ReAAAAAElFTkSuQmCC[/img][br][br][br]Selanjutnya substitusi pers. (1) dan (2) ke dalam persamaan y = 7x + 14. Sehingga diperoleh: [br][br]y = 7x + 14[br][br](–y’ + 4) = 7(–x’+ 8) + 14 [br][br]–y’ + 4 = –7x’+ 56 + 14[br][br]–y’ = –7x’+ 66[br][br]–y = –7x + 66 atau y = 7x – 66 [br][br]Jadi bayangan garis y = 7x + 14 adalah y = 7x – 66
[b]Contoh 8a:[/b][br][br]Jika garis 8x – y = 16 dirotasi dengan pusat N (–3, –4) dan sudut 180[sup]0[/sup] searah jarum jam maka tentukanlah[br]bayangan garis tersebut! [br][br]Alternatif Penyelesaian: [br][br]Misalkan titik B (x, y) memenuhi persamaan 8x – y = 16 sehingga,[br][img]data:image/png;base64,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[/img][br]Selanjutnya substitusi pers. (1) dan (2) ke dalam persamaan 8x – y = 16. Sehingga diperoleh: [br][br]8x – y = 16 [br][br]8(–x’) – (–y’–-8) = 6 [br][br]8(–x’) – (–y’–-8) = 6, [br][br]–8x’ + y’+ 8 = 6 [br][br]–8x + y + 8 = 6 atau y = 8x – 2[br][br]Jadi bayangan garis 8x – y = 16 adalah y = 8x – 2[br][br][br][br][br][b]Contoh 8b:[/b][br][br]Jika garis x + y = –5 dirotasi dengan pusat G (–2, –3) dan sudut 270[sup]0[/sup] searah jarum jam maka tentukanlah bayangan garis tersebut! [br][br]Alternatif Penyelesaian: [br][br]Misalkan titik E (x, y) memenuhi persamaan x + y = –5 sehingga,[br][img]data:image/png;base64,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[/img][br][br][br]Selanjutnya substitusi pers. (1) dan (2) ke dalam persamaan x + y = –5. Sehingga diperoleh: [br][br]x + y = –5 [br][br](–x’– 4) + y’ = –5 [br][br]–x’ + y’ = –1 atau x – y = 1[br][br]Jadi bayangan garis x + y = –5 adalah x – y = 1